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he power of 1/2, to the nearest integer? 1307 What is 30660758 to the power of 1/3, to the nearest integer? 313 What is 1125076 to the power of 1/7, to the nearest integer? 7 What is 342016 to the power of 1/2, to the nearest integer? 585 What is the cube root of 1333424 to the nearest integer? 110 What is 951350 to the power of 1/2, to the nearest integer? 975 What is 508680 to the power of 1/8, to the nearest integer? 5 What is 311371 to the power of 1/6, to the nearest integer? 8 What is 59420 to the power of 1/10, to the nearest integer? 3 What is 24287749 to the power of 1/3, to the nearest integer? 290 What is the square root of 2029034 to the nearest integer? 1424 What is 20179700 to the power of 1/9, to the nearest integer? 6 What is the cube root of 1537305 to the nearest integer? 115 What is the third root of 66054 to the nearest integer? 40 What is 3905765 to the power of 1/8, to the nearest integer? 7 What is the seventh root of 44347 to the nearest integer? 5 What is the square root of 11651532 to the nearest integer? 3413 What is 3012432 to the power of 1/10, to the nearest integer? 4 What is the sixth root of 7120422 to the nearest integer? 14 What is 421914 to the power of 1/7, to the nearest integer? 6 What is the tenth root of 4010437 to the nearest integer? 5 What is 926203 to the power of 1/2, to the nearest integer? 962 What is the fourth root of 7651487 to the nearest integer? 53 What is the cube root of 1574590 to the nearest integer? 116 What is the fifth root of 1802026 to the nearest integer? 18 What is the square root of 346529 to the nearest integer? 589 What is the third root of 81899 to the nearest integer? 43 What is 2255472 to the power of 1/7, to the nearest integer? 8 What is the eighth root of 327802 to the nearest integer? 5 What is the sixth root of 4381180 to the nearest integer? 13 What is the sixth root of 6622482 to the nearest integer? 14 What is 15417008 to the power of 1/2, to the nearest integer? 3926 What is the square root of 269411 to the nearest integer? 519 What is the third root of 3174048 to the nearest integer? 147 What is the sixth root of 20934125 to the nearest integer? 17 What is the cube root of 552967 to the nearest integer? 82 What is the cube root of 680906 to the nearest integer? 88 What is the ninth root of 4556633 to the nearest integer? 5 What is the fourth root of 2201132 to the nearest integer? 39 What is 236549 to the power of 1/10, to the nearest integer? 3 What is the sixth root of 21605 to the nearest integer? 5 What is 8670216 to the power of 1/4, to the nearest integer? 54 What is the seventh root of 1492055 to the nearest integer? 8 What is the cube root of 759780 to the nearest integer? 91 What is the ninth root of 1217725 to the nearest integer? 5 What is the third root of 551368 to the nearest integer? 82 What is 89653 to the power of 1/2, to the nearest integer? 299 What is the third root of 441154 to the nearest integer? 76 What is the third root of 241008 to the nearest integer? 62 What is 840723 to the power of 1/3, to the nearest integer? 94 What is 3030582 to the power of 1/2, to the nearest integer? 1741 What is 435193 to the power of 1/6, to the nearest integer? 9 What is 6471996 to the power of 1/2, to the nearest integer? 2544 What is the tenth root of 179694 to the nearest integer? 3 What is 1887212 to the power of 1/9, to the nearest integer? 5 What is 22526 to the power of 1/3, to the nearest integer? 28 What is 2833520 to the power of 1/3, to the nearest integer? 142 What is the cube root of 987935 to the nearest integer? 100 What is 1168610 to the power of 1/2, to the nearest integer? 1081 What is 65432 to the power of 1/2, to the nearest integer? 256 What is 4966079 to the power of 1/5, to the nearest integer? 22 What is the third root of 57421 to the nearest integer? 39 What is 1222846 to the power of 1/2, to the nearest integer? 1106 What is 12895606 to the power of 1/3, to the nearest integer? 235 What is the third root of 844042 to the nearest integer? 95 What is the cube root of 4698009 to the nearest integer? 167 What is the sixth root of 285000 to the nearest integer? 8 What is the cube root of 1145581 to the nearest integer? 105 What is the fourth root of 1729342 to the nearest integer? 36 What is the third root of 475341 to the nearest integer? 78 What is the seventh root of 2563303 to the nearest integer? 8 What is the tenth root of 5411724 to the nearest integer? 5 What is the sixth root of 316304 to the nearest integer? 8 What is the third root of 702487 to the nearest integer? 89 What is the square root of 3284075 to the nearest integer? 1812 What is the square root of 8994461 to the nearest integer? 2999 What is the third root of 200503 to the nearest integer? 59 What is 1542542 to the power of 1/5, to the nearest integer? 17 What is the third root of 1288458 to the nearest integer? 109 What is the square root of 11768987 to the nearest integer? 3431 What is 526261 to the power of 1/2, to the nearest integer? 725 What is 993913 to the power of 1/2, to the nearest integer? 997 What is the square root of 133439 to the nearest integer? 365 What is the third root of 11395288 to the nearest integer? 225 What is the sixth root of 339832 to the nearest integer? 8 What is the tenth root of 547512 to the nearest integer? 4 What is 730200 to the power of 1/2, to the nearest integer? 855 What is 364351 to the power of 1/9, to the nearest integer? 4 What is the sixth root of 18481489 to the nearest integer? 16 What is 29371 to the power of 1/5, to the nearest integer? 8 What is 37487119 to the power of 1/2, to the nearest integer? 6123 What is 70567 to the power of 1/2, to the nearest integer? 266 What is the ninth root of 9448764 to the nearest integer? 6 What is the eighth root of 11405693 to the nearest integer? 8 What is 462169 to the power of 1/2, to the nearest integer? 680 What is the fifth root of 208686 to the nearest integer? 12 What is the cube root of 170136 to the nearest integer? 55 What is 246713 to the power of 1/2, to the nearest integer? 497 What is the square root of 19396932 to the nearest integer? 4404 What is 194179 to the power of 1/3, to the nearest integer? 58 What is the square root of 5646184 to the nearest integer? 2376 What is 777292 to the power of 1/2, to the nearest integer? 882 What is 311612 to the power of 1/2, to the nearest integer? 558 What is the third root of 1171944 to the nearest integer? 105 What is 1607863 to the power of 1/4, to the nearest integer? 36 What is the tenth root of 159083 to the nearest integer? 3 What is 3093309 to the power of 1/8, to the nearest integer? 6 What is 1153038 to the power of 1/2, to the nearest integer? 1074 What is the square root of 10872006 to the nearest integer? 3297 What is 13723099 to the power of 1/4, to the nearest integer? 61 What is the third root of 4215138 to the nearest integer? 162 What is 1581320 to the power of 1/2, to the nearest integer? 1258 What is the ninth root of 732508 to the nearest integer? 4 What is the cube root of 2298006 to the nearest integer? 132 What is 164548 to the power of 1/9, to the nearest integer? 4 What is 549771 to the power of 1/5, to the nearest integer? 14 What is 5984210 to the power of 1/8, to the nearest integer? 7 What is the third root of 71571 to the nearest integer? 42 What is the sixth root of 3740413 to the nearest integer? 12 What is the fifth root of 1913399 to the nearest integer? 18 What is 1335187 to the power of 1/4, to the nearest integer? 34 What is the square root of 3258074 to the nearest integer? 1805 What is 890028 to the power of 1/3, to the nearest integer? 96 What is the square root of 1472300 to the nearest integer? 1213 What is 2621727 to the power of 1/2, to the nearest integer? 1619 What is 9067557 to the power of 1/10, to the nearest integer? 5 What is 1178621 to the power of 1/2, to the nearest integer? 1086 What is the third root of 8379418 to the nearest integer? 203 What is the seventh root of 37128675 to the nearest integer? 12 What is 1910960 to the power of 1/3, to the nearest integer? 124 What is the sixth root of 15169442 to the nearest integer? 16 What is 153736 to the power of 1/8, to the
{ "pile_set_name": "DM Mathematics" }
-5 + 22*sqrt(5)/27 Simplify 3 + (((sqrt(150) + sqrt(150)*-2)*-6)/(-6*sqrt(40)/sqrt(4)))/(5*((1*sqrt(240) + sqrt(240) - sqrt(240))/sqrt(4))/sqrt(12)). -sqrt(3)/5 + 3 Simplify -6*(3 + -2 + (sqrt(55) - sqrt(220)/sqrt(4))/sqrt(11) + sqrt(45) + sqrt(135)/sqrt(3)*6 + sqrt(45)). -144*sqrt(5) - 6 Simplify (3*-3*(sqrt(72) - -1*sqrt(72)))/((3*sqrt(18))/sqrt(2) + sqrt(9) + (sqrt(9) + -3*sqrt(9)*5 - sqrt(9))). 36*sqrt(2)/11 Simplify (sqrt(165)/sqrt(108) - sqrt(165)/sqrt(75))/((sqrt(77)*2*-2)/((sqrt(7) - (sqrt(7) - (sqrt(7) - sqrt(63))))*-1)). sqrt(5)/60 Simplify -1 + (((sqrt(847) + 2)*-4 + -5 + -5*(sqrt(7) - sqrt(63)))*-3)**2. 7956*sqrt(7) + 74348 Simplify (2*(-3*sqrt(162)*3 + (sqrt(162) + sqrt(162) + -5*(sqrt(162) - (0 + sqrt(162))) + sqrt(162) - sqrt(162)))*2)**2*6. 762048 Simplify ((sqrt(136) + (sqrt(136)*-3*2 - sqrt(136)) + sqrt(136) + sqrt(136) - (sqrt(136) + sqrt(136)*-3)*-2)/(-2*sqrt(8)*4 - sqrt(512)*6))**2. 17/49 Simplify (-1*sqrt(50))/sqrt(10) + -4*(sqrt(5) - sqrt(15)/sqrt(3)) + -1 + -1 + 2 + 1*sqrt(5). 0 Simplify (((sqrt(99) - sqrt(11)) + -2 + 4)*-1 + -4 + ((2 + sqrt(1100) + sqrt(1100))*5 + sqrt(1100) - (sqrt(1100) + -1)*2))**2. 1056*sqrt(11) + 85220 Simplify (-2 + (sqrt(125) + -1)*1 + -2 - ((sqrt(125) - (sqrt(125) + 0 + sqrt(125)))*4 + -2 + 5))**2. -400*sqrt(5) + 3189 Simplify (sqrt(245)*-3*-2)**2 + ((2 + sqrt(245))*-3)**2 + 1*((sqrt(245) - (sqrt(245) - (-4 + (sqrt(245) - sqrt(245)*2))**2)) + 4). 308*sqrt(5) + 11326 Simplify -5*sqrt(204)/(sqrt(1452)*-4) - (-1 + 1*sqrt(17) - (sqrt(17) + (-4*sqrt(170) + sqrt(170))/sqrt(10))). -127*sqrt(17)/44 + 1 Simplify -6*(-5 + ((sqrt(520)*-2)/sqrt(10))/(-1*sqrt(20)/sqrt(5)))*-3. -90 + 36*sqrt(13) Simplify -2*(sqrt(272)*2*-1)**2*2 - (-4*(-2*sqrt(85) + sqrt(85) + sqrt(85) + sqrt(85)))/(sqrt(20) + sqrt(80)/sqrt(4))*-4. -4352 - 4*sqrt(17) Simplify (6*sqrt(209)*2*-6)/(sqrt(44)/(sqrt(4) - sqrt(256)))*-2. -1008*sqrt(19) Simplify (2*-3*(-2 + 2*sqrt(405) - (sqrt(405) - 3*(sqrt(405) + sqrt(405) + 1)))*1*-1)**2. 4536*sqrt(5) + 714456 Simplify ((sqrt(729) + sqrt(729)*-2)*2)/(5*(sqrt(3) + sqrt(300)*-1 + sqrt(300))) + 1. -18*sqrt(3)/5 + 1 Simplify (((sqrt(3600) + (4*sqrt(3600)*-1 - sqrt(3600)) - sqrt(3600)) + (sqrt(3600) - -1*sqrt(3600))*6)/((sqrt(36)/(-1*sqrt(3)) - sqrt(48)/sqrt(4)*2)*2)*2)**2. 4900/3 Simplify (-3 + (sqrt(1573) - (0 + sqrt(1573) + sqrt(1573) - sqrt(1573))) + sqrt(1573) + 1 + 3)**2 - (sqrt(143) + (sqrt(143) + sqrt(143)*-1)*3)/(-1*sqrt(891)). 199*sqrt(13)/9 + 1574 Simplify ((-1 + -4*(sqrt(171) + 1 + sqrt(171))*1 + (sqrt(171) + sqrt(171) + (sqrt(171) + 0 - sqrt(171)) + -5)*-5)*-5)**2. -54000*sqrt(19) + 1395100 Simplify (sqrt(162)/sqrt(9))**2 + (3*sqrt(72))**2 + ((sqrt(162) - (-5 + sqrt(162)*-1 + sqrt(162)))**2 - (1 + -2 + sqrt(162) + sqrt(162) - sqrt(162))). 81*sqrt(2) + 854 Simplify (-2 + 6*(sqrt(80)*3 - sqrt(10)/sqrt(2)*-3 - (sqrt(50) + -4*sqrt(450))/(sqrt(1210)*-2)))**2. -348*sqrt(5) + 37849 Simplify ((sqrt(180)*-1)/sqrt(12))/(1*sqrt(147)) - (-3 + (2*sqrt(720) + sqrt(720))*2 + 5 + (0 + sqrt(720))**2). -722 - 505*sqrt(5)/7 Simplify 2*(-3 + (sqrt(275) - 6*(2 + sqrt(275)))**2 + (sqrt(275) + (sqrt(275) + -1)**2)*1 + 5). 1190*sqrt(11) + 14594 Simplify ((1*sqrt(180)*-3)/((sqrt(270) + sqrt(30))/sqrt(6)))/(-5*sqrt(1200) + (sqrt(1200) + sqrt(12))*-3). 3*sqrt(3)/332 Simplify ((-1 + sqrt(176))*6 + 1)*2 + (5 + sqrt(176)*-2)*3 + -2 + -4. -1 + 24*sqrt(11) Simplify (sqrt(912) + sqrt(912)*-4 - sqrt(912) - sqrt(57) - 6*(sqrt(57) + -4*sqrt(57)))/(4*sqrt(36)/(sqrt(12) - (3*sqrt(108) + sqrt(108)))). -11*sqrt(19)/4 Simplify 0 + -5*(3*(sqrt(1584) + sqrt(1584) + -1 + -4) + sqrt(1584)*1 + 3 + ((sqrt(1584) + 0 - sqrt(1584)) + -3 - sqrt(1584)))**2. -286245 + 10800*sqrt(11) Simplify (sqrt(75) + ((sqrt(75) + sqrt(75) + 1)*4)**2 + -5)*4 + -4 + sqrt(48) + 4 + 2 + (1 + sqrt(3))*-1. 1303*sqrt(3) + 19245 Simplify ((sqrt(2400) - (sqrt(2400) + sqrt(2400)*-5))*4)/(-1*(1*(sqrt(12) - sqrt(108)) + sqrt(12))). 200*sqrt(2) Simplify 4*(sqrt(833) + (sqrt(833) - (sqrt(833)*-2)**2)) - -2*(sqrt(833) + sqrt(833) + 2) - (-1 + -1 + sqrt(833) + 1 + sqrt(833) + (sqrt(833) + 0)*2)**2. -26653 + 140*sqrt(17) Simplify (sqrt(450)/(sqrt(63)/sqrt(7) + sqrt(9)) - sqrt(300)/(sqrt(18)/sqrt(3)))/(3*sqrt(1210) + (sqrt(80)/sqrt(8) - sqrt(10))*-5). -sqrt(5)/66 Simplify (sqrt(50)/(sqrt(2)*3) - sqrt(100)/sqrt(4)*-3)/(3*sqrt(1080)/sqrt(6)). 5*sqrt(5)/27 Simplify -4*(sqrt(85)*1*1 + (sqrt(85)*1*5 - sqrt(85)))/((sqrt(55) - (1*sqrt(2695) + sqrt(2695) - sqrt(2695)))/sqrt(11)). 10*sqrt(17)/3 Simplify 4 + 2 + (1*(1 + (sqrt(5) - (sqrt(5) + 1))) - (sqrt(280)/sqrt(112))/sqrt(8)). -sqrt(5)/4 + 6 Simplify (1*sqrt(1728)*5 + sqrt(1728) - sqrt(1728))**2 - ((6*sqrt(1728)*-3)**2 + sqrt(1728) + sqrt(1728)) - (-3 + (-5 + sqrt(1728)*1)*3)**2. -532548 + 2544*sqrt(3) Simplify (1*(sqrt(19) + (sqrt(95)/sqrt(5)*3 - sqrt(19)) + -2*sqrt(304) - ((sqrt(19) + 0 + sqrt(19))*6*-3 + 1)))**2. -62*sqrt(19) + 18260 Simplify 5 + ((3*sqrt(156)*2)/(sqrt(3) + (sqrt(3) + 1*sqrt(3))*2) - (sqrt(5200) + -1 + sqrt(5200) + 1)**2*4). -83195 + 12*sqrt(13)/5 Simplify 1*(-6*(2 + sqrt(1088))*5 - (sqrt(17) - (sqrt(17) + -3)**2*-2 - (sqrt(17) - (-1 + sqrt(17) + 3)))). -229*sqrt(17) - 114 Simplify -4*(4 + ((5 + -1*sqrt(432) + (sqrt(432) - (sqrt(432) + sqrt(432)*-2)*4))**2 - (2 + sqrt(432) + -2*(sqrt(432) + -3))**2)). -25780 - 2688*sqrt(3) Simplify (-3*3*sqrt(204))/(sqrt(12) - sqrt(72)/(sqrt(6)*2)) - ((sqrt(1836)*-1 - sqrt(1836))/(sqrt(6)/sqrt(8) - sqrt(3)) + 0). -42*sqrt(17) Simplify (5*(-1 + -4*sqrt(320)))**2 + -3*(-2 + (-3 + sqrt(125))**2) + -2. 1690*sqrt(5) + 127627 Simplify (-4*sqrt(700)*2*-6*6)**2 + -5*(sqrt(112)*5 - (sqrt(7) + (sqrt(7) - (sqrt(70)/sqrt(2))/sqrt(5))**2))*5. -475*sqrt(7) + 58060800 Simplify (1*sqrt(153)*-1)/sqrt(9) + 2 + (sqrt(17)*2)**2 + sqrt(17) + -2 - (sqrt(204) + sqrt(204) + 4*3*sqrt(204))/(5*sqrt(60)/sqrt(5)). -14*sqrt(17)/5 + 68 Simplify 6*(5 + (-4 + -3 + sqrt(448) - (sqrt(448) + ((sqrt(448) - 2*(2 + sqrt(448))) + sqrt(448) - sqrt(448)))) + -1)**2. 96*sqrt(7) + 2694 Simplify (3*(-1*sqrt(68) - sqrt(68)) - -2*1*sqrt(68))/(sqrt(36) - (sqrt(36) - (sqrt(396) + sqrt(396)*-2 - sqrt(396))/sqrt(11)))*-5. -10*sqrt(17)/3 Simplify (sqrt(14)/(sqrt(6)/sqrt(3)) + 4 + sqrt(112))**2*2 + -1 - (-3*sqrt(77)*-1)/(sqrt(77)/sqrt(7)*4). 317*sqrt(7)/4 + 381 Simplify ((sqrt(8)*1 - sqrt(2)) + sqrt(24)/(sqrt(24)/sqrt(2)) - 3*(-1 + sqrt(50))) + (sqrt(800) - 2*sqrt(2)*4) + (sqrt(10)/sqrt(45)*1)**2. -sqrt(2) + 29/9 Simplify (-3*sqrt(84)*1*4)/(6*2*sqrt(7) + sqrt(49)/sqrt(175)) + 2. -120*sqrt(3)/61 + 2 Simplify (1*(sqrt(216) - (sqrt(216)*1 + sqrt(216)))/sqrt(12))/((2*(sqrt(294) + sqrt(294)*2) - sqrt(294)) + sqrt(294))*-6. sqrt(3)/7 Simplify (sqrt(80) + 1 + sqrt(80) + 0)**2 + -5*sqrt(80)*-1 + 3*(sqrt(80) + (3 + sqrt(80) - sqrt(80)) + 0 + sqrt(80))**2. 180*sqrt(5) + 1308 Simplify -3*(-5 + -4*sqrt(76) + -1 - (4 + (sqrt(76) + 0)*-4)**2). -168*sqrt(19) + 3714 Simplify (-4*sqrt(77)*3*-2)/(-1*(4*sqrt(704) - sqrt(704))). -sqrt(7) Simplify (sqrt(2160)*1 - ((-1*sqrt(240) - sqrt(240) - sqrt(240)) + sqrt(240) - sqrt(15)))/(-2*sqrt(720)*3)*-2. 7*sqrt(3)/12 Simplify 2 + 3 + ((2 + (sqrt(720) - (sqrt(720) - (sqrt(720) - 3*sqrt(720)*4))))*-4)**2*-1. -1393979 + 8448*sqrt(5) Simplify ((-2*sqrt(66))/sqrt(2) + -3*(sqrt(33) - sqrt(99)/sqrt(3)))/(-4*((sqrt(55)*2 - sqrt(55))/sqrt(5) + (sqrt(11) - (sqrt(132)*1)/sqrt(12)))). sqrt(3)/2 Simplify (-4*(sqrt(75) - 1*sqrt(75)) - 3*(sqrt(75) + -1))**2 - -4*(3*-4*(sqrt(75) + sqrt(75)*-1))**2. -90*sqrt(3) + 684 Simplify 0 + (sqrt(243) + 1)**2 + (1*sqrt(363))**2 - (3 + -1 + -4 + sqrt(189)/sqrt(7)). 15*sqrt(3) + 609 Simplify ((sqrt(270)/sqrt(6) + (-1*sqrt(605))**2)*3*5 + 2)*2. 90*sqrt(5) + 18154 Simplify 1 + (sqrt(392)/(sqrt(448) + -3*sqrt(448)))/((sqrt(32) - (sqrt(32) - (sqrt(32) - (sqrt(32) + -2*2*sqrt(32)))))/sqrt(4)). -sqrt(7)/64 + 1 Simplify -5 + -5 + 6*(sqrt(7) + -3 + 1 - sqrt(567)*4)**2*1. 840*sqrt(7) + 51464 Simplify ((1 + 5 + (-3 + 0 + sqrt(1088) - -6*(sqrt(1088) + (1*sqrt(1088) - sqrt(1088))))*5 + -5)*-4)**2. -125440*sqrt(17) + 21327936 Simplify (-4*(0 + sqrt(605)))**2 + (-1 + sqrt(6480) - sqrt(45))**2 - (-4 + (2*sqrt(2450) - sqrt(2450) - sqrt(50))/(sqrt(110)/(2*sqrt(11))))**2. 30*sqrt(5) + 14390 Simplify 2 + ((sqrt(90)/(sqrt(120)/sqrt(3)))/((sqrt(6)*2*2)/sqrt(2)))**2*6. 73/32 Simplify -6*((sqrt(176)
{ "pile_set_name": "DM Mathematics" }
composite? False Let d(o) = -14*o**2 - 5*o + 22. Let x(b) = 29*b**2 + 10*b - 43. Let i(h) = -13*d(h) - 6*x(h). Is i(-13) composite? False Suppose -5 = -j, 2*h = h + 5*j + 164. Suppose 18 = 4*i - 2*b, i - 4*i - 5*b = 19. Suppose i*g - h = -23. Is g prime? True Suppose -16*w = -17*w, a - 2833 = -2*w. Is a a prime number? True Suppose 12*y - 12 = 6*y. Is 2710/(-15)*(-3)/y a prime number? True Let c(t) = 2*t**3 - 3*t**2 + 2*t - 3. Suppose 2 - 6 = -2*r. Let u be c(r). Suppose 0 = u*s - 5*a - 1080, 0 = 4*s + 2*a + a - 857. Is s a composite number? True Let j(l) = 15*l**2 + 40*l - 30. Let f(p) = -p**3 - 3*p**2 + 4*p - 11. Let i be f(-5). Is j(i) composite? True Suppose 381*d - 265542 = 375*d. Is d composite? False Suppose 0*l = -5*s - 5*l + 975, 0 = -4*l - 20. Suppose -5*r + f + 370 = -3*f, 3*r + 2*f - s = 0. Suppose 105 = k + 2*k + w, 2*k - r = -4*w. Is k a prime number? False Let y = 8 + -9. Let n be (36/24)/(y/(-102)). Suppose -n = -3*t + 2*g, -5*g = 5*t - 76 - 179. Is t a prime number? False Let d(u) = 8*u**3 - 3*u**2 - u - 3. Let x be d(3). Suppose 0 = 3*l + x - 30. Let w = -36 - l. Is w a composite number? True Suppose 2*o + 3*o = 5*y - 23655, -3*o = 12. Is y prime? False Let u(d) = 14*d**2 + 9*d + 2. Is u(-11) a composite number? False Let a(l) = -5*l + 1. Let w be a(1). Let c(q) = 3*q + 2. Let o be c(w). Is (24/o)/((-4)/10) a prime number? False Let d(s) be the second derivative of 29*s**3/3 + 3*s**2/2 - 15*s. Is d(7) a composite number? False Let n(u) = 10*u**3 + 3*u**2 - 5*u + 4. Let d be n(2). Suppose -188 = -2*o - 4*a + d, -16 = 4*a. Is o a composite number? True Suppose -f + 0*f + 2*r = -3017, 2*f - 2*r = 6028. Is f prime? True Let v be 18/45 - 5052/5. Let z = -511 - v. Is z a composite number? False Suppose 11278 = 2*v - 0*g + 4*g, -5*v = 4*g - 28195. Is v a composite number? False Let k(m) = 74*m**2 + 7*m + 14. Is k(9) composite? True Let j = -21 - -4. Let i = 9 + j. Let u(x) = -x**3 - 3*x**2 + 11. Is u(i) a prime number? True Let b(o) = -o**2 + 3*o + 7. Let d(m) be the first derivative of -2*m**3/3 + 3*m**2/2 + 7*m - 5. Let h(f) = 5*b(f) - 4*d(f). Is h(-5) a prime number? True Let t(f) = 186*f**2 - 18*f - 41. Is t(-7) composite? False Suppose 4*n + 72527 = 3*g - 11610, -2*n = g - 28059. Is g a prime number? True Let k(h) = h**3 + 6*h**2 + 4*h - 7. Suppose 0 = -3*q - 2*f + 14, q = -q - f + 10. Is k(q) a composite number? False Suppose -2*v = 2*f - 8, 0 = f - 2*f + 2. Suppose 261 = b - v*o - 154, o = -2*b + 815. Is b prime? True Let g(b) = 16590*b**2 + 7*b + 6. Is g(-1) a composite number? True Let o = 14191 - 3462. Is o a prime number? True Let o be 28/21 + (-4)/(-6). Suppose -4920 = -5*i - 5*p, i - o*i - 4*p = -987. Is i a prime number? True Suppose -5*h + 9*h - 3*a - 3359 = 0, 4213 = 5*h + a. Let k = -435 + h. Is k composite? True Let i = 5769 + 232. Is i a prime number? False Let w = 37589 + -24742. Is w prime? False Let v = 36162 + -23682. Let s = v + -8539. Is s a composite number? True Let p = 87841 - -8820. Is p prime? True Let q = 17 - 38. Is (-6495)/q - (-2)/(-7) composite? True Suppose 4*l + 8 = -8. Let u be 42/(-4) + (-2)/l. Let s(i) = -i**3 - 5*i**2 + 14*i + 13. Is s(u) a composite number? False Suppose 59452 + 47967 = 13*i. Is i composite? False Let a be 4/6 - (-1352)/6. Suppose -4*b = 7*b + 1584. Let v = b + a. Is v prime? False Suppose 58936 = 19*n - 11*n. Is n prime? False Let g(y) be the first derivative of -28*y**2 + 21*y + 20. Is g(-13) prime? False Suppose -2*t + 3*t = -13. Let y(d) = 2*d**3 + 2 + 15*d**2 + 9*d - 11 - d**3 + 5. Is y(t) a prime number? False Let o = 14 - 11. Suppose -5*y + 63 = 2*u + 365, -y - 453 = o*u. Let p = u - -236. Is p composite? True Let i(w) be the first derivative of -3*w**4/2 - 4*w**3/3 + 4*w**2 - w - 6. Is i(-4) composite? True Is 6483/((-23)/(-5) + -4) composite? True Let n = -3930 - -7721. Is n a composite number? True Let u be 3*((-6)/(-2) + -1). Is (u/3 + -253)/(-1) composite? False Let v = -30 + 42. Let f be (-80731)/(-114) - 2/v. Suppose 3*m - f = -m. Is m prime? False Suppose 14346 = 4*w + 30*a - 28*a, -w + 4*a = -3609. Is w a composite number? True Let z be (-9)/2 + (-5)/10. Let b be (3 + z + 2)/(-1). Suppose -5*a - d + 13 = 0, 3*a + d + b = 7. Is a a prime number? True Let k be -541*(-2 - 9/(-3)). Let v = k + 1986. Suppose -v = -2*y - 3*y. Is y composite? True Let z(k) = -9 - 4 - 9 - 235*k + 11. Is z(-6) a prime number? True Let a(y) = 73*y**2 + 36*y + 211. Is a(-16) prime? False Suppose 0 = 27*w - 22852 - 59255. Is w a prime number? True Is 6997*(0 + (5 - 4)) composite? False Let j(d) = -131*d - 80. Is j(-21) composite? False Let q(h) = -382*h + 25. Is q(-6) a composite number? True Suppose -g - 244 = -723. Suppose -3*q = -2*q - g. Is q composite? False Suppose 476 = 6*l - 1006. Suppose j + 4*h = 2*j - l, 467 = 2*j + h. Is j prime? False Let l = -8 - -12. Suppose 0 = l*m + t - 17 + 3, 0 = -2*m + 2*t + 2. Is (-62)/m*(-3)/2 composite? False Let v(o) = -3040*o - 3. Let m = 91 + -92. Is v(m) prime? True Suppose 367919 + 352951 = 30*u. Is u a prime number? True Let x be 34/9 + 10/45. Suppose -x*i - i = -5. Is ((-139)/5)/(i/(-5)) prime? True Suppose 65*z - 6155 = 64*z. Is z a composite number? True Is 100058 + -6*3/2 a prime number? True Let l be (2 + 1)*-1*10/(-15). Suppose p - 3*d = 365 + 249, 4*d = -l*p + 1228. Is p a composite number? True Let v = 5615 + -3504. Is v composite? False Let p(i) = 3*i - 9. Let j be p(4). Suppose s = -3*m + 1820, -1825 = -j*m + s - 3*s. Suppose -4*w + m = w. Is w composite? True Let f be (3/2 - 1)*4. Suppose q = -2*n + 5*q + 2136, -f*q - 8 = 0. Suppose -a + n = 3*a. Is a composite? True Let f(d) = 69*d**3 + 6*d**2 + 41*d - 389. Is f(9) prime? True Let s = 81645 + -53352. Is s prime? False Suppose -2*u + 3*o + 8 = 0, -12 = -3*u + 4*o - o. Suppose 0 = -u*x + i + 122, -2*x = -3*x - 5*i + 20. Suppose 7 = l - x. Is l composite? False Let w = 37 - 36. Let k(j) = 2042*j + 3. Is k(w) composite? True Is ((-217004)/14)/((-110)/385) prime? True Let x = -10 + 12. Suppose 3*k + 22 = -b, -4*k - 3*b = -x*b + 28. Let y(m) = -m**3 - 3*m**2 + 2*m - 11. Is y(k) composite? True Suppose 2*n + 276 - 61 = 5*d, 5*d + 4*n - 185 = 0. Suppose -4*q + 3 = -d. Is q prime? True Suppose 0 = -4*c - y + 56407, 17199 - 45395 = -2*c + 2*y. Is c a prime number? False Let g be (-2 + 6 - (-4 + 3)) + -2. Suppose -4*q = g*i - 4776 - 753, 4*i = -q + 7372. Is i a prime number? False Suppose 52*s = 2*s - 4*s. Let k = 6 - 0. Suppose s = -k*n + 3*n + 4197. Is n a prime number? True Let n = -4567 - -2027. Is (-22)/8*1*n/5 a prime number? False Suppose -1171 = 8*u + 53. Let c = 58 - u. Is c a prime number? True Suppose -23*v + 21352 = -15*v. Is v a composite number? True Let r(k) = -k - 37*k - 49*k - 3. Let g be r(8). Let m = 1184 + g. Is m a prime number? False Suppose 0*v = -2*v + 2006. Is v a composite number? True Is (-27)/(-189) - 32*4987/(-14) prime? True Suppose 10 = -2*v + 32. Suppose -3*a + y + v = -0*a, 4*a - 18 = -2*y. Is 634 - (13 + -1)/a composite? False Let o(n) = -23*n - 34. Let i(s) = 70*s + 101. Let c(l) = 6*i(l) + 17*o(l). Is c(17) prime? True Let c = 13994 + -2223. Is c a prime number? False Let z(w) = w + 33. Let v be z(0). Let f = v + -20. Let j = f + 40. Is j a prime number? True Let j be 1 + -5 + (15925/(-7))/(-1). Is 1/2 - j/(-12)*2 prime? True Let f(w) = 55*w**2 - 66*w - 114. Is f(-25) prime? True Suppose -r + 5 = -4*m, 3*r + 2*m = 1 + 28. Suppose -4*o - 1555 = -r*o. Is o prime? True Let b = -6721 + 9494. Is b prime? False Suppose -3*v = -5*s - 7*v + 60673, 15 = -5*v. Is s prime? False Let c(s) be the first derivative of 2*s**3 + 2*s**2 + 11*s - 2. Is c(6) a composite number? False Suppose 17328 = 25*z - 859097. Is z a composite number? True Suppose 2*n + 5*j - 9146 = 0, -4*n + 3*j - 4*j = -18328. Is n composite? False Suppose -108 = 8*z + 4*z. Is ((-9258)/z)/((-44)/(-12) + -3) composite? False Let b(u) = 5*u**3 - 22*u**2 + 9*u - 10. Let i be b(12). Suppose -3*m = -8*m + i. Is m a prime number? False Suppose k - 11540 = 30929. Is k composite? True Is 128 - 10 - (-1 + -3) a prime number? False Let i(r) = 139*r**2 - 54*r - 20. Is i(9) a composite number? False Suppose 6 = 4*m - 2*m. Suppose -4*a + 3047 = -m*v, -2280 = -3*a - v - 2*v. Suppose -314 = -5*p + a. Is p compos
{ "pile_set_name": "DM Mathematics" }
2*l Let c(s) = -4*s - 2. Let v(t) = 5*t + 2. Suppose -n + 5*n + 14 = -2*j, 3*n = 0. Calculate j*c(k) - 6*v(k). -2*k + 2 Let g(t) = -5*t**3 + 2*t - 2. Suppose 24 = -36*a + 48*a. Let w(h) = -15*h**3 + 7*h - 7. Give a*w(s) - 7*g(s). 5*s**3 Let i(c) = -15*c + 7*c**2 + 5*c + 8*c + 1. Let b(a) = -a**2 + a. Calculate 5*b(s) + i(s). 2*s**2 + 3*s + 1 Let w(j) = -18*j**2 - 2*j + 3. Let v(p) = 33*p**2 + 4*p - 6. Determine -3*v(l) - 5*w(l). -9*l**2 - 2*l + 3 Let g(k) = 2*k - 11. Let a(f) be the first derivative of -4 + 5*f - 1/2*f**2. What is 9*a(s) + 4*g(s)? -s + 1 Let v(w) = w - 56. Let r(m) = 1. Calculate 2*r(z) + 2*v(z). 2*z - 110 Let f(g) = -40*g**3 + 50*g - 50. Let k(z) = 0*z**3 + z - 771 + 770 - z**3. What is -f(q) + 50*k(q)? -10*q**3 Let x(s) be the third derivative of -s**5/15 + 130*s**2. Let i(v) = 17*v**2. Calculate -2*i(f) - 9*x(f). 2*f**2 Let m(d) = 21*d - 4. Let z(l) = l. Determine -m(k) + 2*z(k). -19*k + 4 Let u(v) = -1. Let o = -248 + 249. Let a(r) = -r**2 - 6. Determine o*a(h) - 6*u(h). -h**2 Let s(z) = 2*z**2 - 4*z. Let o(p) = 5*p**2 - 9*p + 2. Let n(f) = -1. Let y(l) = -6*n(l) - 3*o(l). Give 27*s(m) + 4*y(m). -6*m**2 Let b be 0 + 0 + 10/2. Let m be 3/(408/64 + -6). Let k(v) = -4*v - 3. Let a(h) = 6*h + 5. Calculate b*a(f) + m*k(f). -2*f + 1 Let m(j) = -42*j + 7. Let d(i) = 83*i - 13. Determine -6*d(v) - 11*m(v). -36*v + 1 Let a(z) = 5*z**2 - 2. Let f(c) = 476 - 955 + 3*c**2 + 6*c**2 + 476. Suppose -4*l + 17 = s, -7 = s - 3*l - l. Give s*a(d) - 3*f(d). -2*d**2 - 1 Let s(p) = -p**2 - p - 7. Let d(f) = -6*f**2 - 4*f + 7. Let j(k) = d(k) + s(k). Let w(l) = 7*l**2 + 4*l. Determine -4*j(o) - 5*w(o). -7*o**2 Let c(l) = 6*l + 2. Let t(f) = 6*f + 2. Let k(i) = -6*c(i) + 7*t(i). Let w(d) = -7*d - 2. Give -4*k(p) - 3*w(p). -3*p - 2 Let v(y) = y + 2. Let b(w) = 7*w + 247. Calculate -b(c) + 4*v(c). -3*c - 239 Let c(n) = -n**2. Let w(s) = s**3 - 6*s**2 - 28*s. Give 6*c(p) - w(p). -p**3 + 28*p Let v(i) = 3*i**2 - 53*i + 35. Let p be v(17). Let g(r) = r + 1. Let l(b) = 3*b + 6. Suppose 4*t = t + 12, 5*z + 2*t + 22 = 0. What is p*l(y) + z*g(y)? -3*y Let n(y) = 422*y. Let g(d) = -d. Determine -5*g(u) - n(u). -417*u Suppose -126 = -37*y + 19*y. Let m(i) = -i**2 + 7*i - 7. Let o(n) be the second derivative of -n**3/3 + n**2 - n. What is y*o(v) + 2*m(v)? -2*v**2 Let l(c) be the first derivative of -3*c**2 - 54*c + 42. Let j(b) = 2. Give 54*j(y) + 2*l(y). -12*y Let s(t) = -3*t. Let w(p) = 10*p - 1. Determine -2*s(n) + w(n). 16*n - 1 Let n(s) = 3*s - 4. Let v(b) = -8*b + 12. Suppose 12 + 0 = -4*c, -4*r = c - 41. Determine r*n(q) + 4*v(q). q + 4 Let f(c) = -16*c**3 + 3*c + 3. Let x(b) = 51*b**3 - 12*b**2 - 7*b - 13. Let p(o) = -3*o**3 + 2*o**2 + 1. Let v(q) = 6*p(q) + x(q). What is -7*f(d) - 3*v(d)? 13*d**3 Let p(z) = z. Let i(c) be the second derivative of -5*c**3/6 - c**2/2 - 2*c - 44. Determine -i(a) - 3*p(a). 2*a + 1 Let k(h) = -223*h**2 + 12. Let y(a) = 334*a**2 - 19. Determine 8*k(l) + 5*y(l). -114*l**2 + 1 Let o(b) = -b**3 - 3*b**2 - 4*b - 3. Let x(g) = -14*g**2 - g - 25. Let t(v) = -5*v**2 - 9. Let f(a) = 8*t(a) - 3*x(a). Determine -3*f(w) - 2*o(w). 2*w**3 - w - 3 Let q(l) = -16 - 15 - 19 - 4*l + 44. Let i(x) = -3*x - 6. Determine -5*i(u) + 4*q(u). -u + 6 Let v(g) be the first derivative of -2*g**3/3 - g**2/2 + 3*g - 16. Let q be (-6)/4 + 7/(-2). Let a(w) = 3*w**2 + 2*w - 5. Give q*v(k) - 3*a(k). k**2 - k Let x(o) = 9*o**3 - 5*o**2 + 2*o**2 - 8*o**3 + 4*o**2 - o. Let n(r) = r**3 + 2*r**2 - 2*r. What is n(s) - 2*x(s)? -s**3 Let s(b) = -2*b**2 - 4*b. Let y(r) = 2*r - 2. Let g be y(3). Let k(f) be the third derivative of f**5/60 + f**4/8 + 45*f**2. Calculate g*k(o) + 3*s(o). -2*o**2 Let a(f) = f + 1. Suppose -791 = -2*d + 5*c, 0*c - 3*c + 412 = d. Let u(b) = d*b - 406*b + 1 - 3. Determine -4*a(i) - u(i). -i - 2 Let a(q) = 320*q**3 + 5*q**2 - 5*q - 7. Let u(f) = -160*f**3 - 3*f**2 + 3*f + 4. Give -3*a(i) - 5*u(i). -160*i**3 + 1 Let u(a) = -16*a**3 + 3*a**2 - 3*a - 3. Let y(i) = 481*i**3 - 91*i**2 + 91*i + 91. Suppose 0 = 5*k + 5*v - 82 + 42, -3*k + 29 = 4*v. What is k*y(r) + 91*u(r)? -13*r**3 Let q(r) = r**2 - 11*r + 5. Let o be q(10). Let j(m) = m**3 + 4*m + 4. Let z be (-25)/(-10) + 3/(-6). Let s(l) = 1 - 2 + 1 - 2 - z*l. Give o*s(k) - 2*j(k). -2*k**3 + 2*k + 2 Let c(t) = -22*t**2 + t - 3. Let v(f) = -64*f**2 + 2*f - 8. Determine -17*c(i) + 6*v(i). -10*i**2 - 5*i + 3 Suppose 2*u + r = -2*r + 22, -5*r = 2*u - 30. Let d(o) = 7*o - 3. Let a(c) = -20*c + 8. Give u*a(g) + 14*d(g). -2*g - 2 Let p(b) = -b**2 - 5*b + 2. Let j be p(-5). Let d(s) = s + 10. Let l(c) = 1 - 1 - 2 + 5. Let z = -109 + 102. Calculate j*d(u) + z*l(u). 2*u - 1 Let v be (3/(-9))/((-3)/9). Let b(j) = -2*j - 4*j + 0*j. Let d(i) = i. What is v*b(c) + 4*d(c)? -2*c Let o(k) = -k - 1. Suppose -19*l - 16 - 3 = 0. Suppose 3*d + v = 27, -2*v + v = d - 7. Let u be 1 + d*(-2)/(-4). Let b(p) = -5*p - 5. What is l*b(q) + u*o(q)? -q - 1 Let y(g) = -g + 2. Let j(l) = l**3 - 2*l + 5. Suppose -u + 19 = 15. Give u*j(c) - 10*y(c). 4*c**3 + 2*c Let u(g) = 34*g**3 + 51*g**2 + 34*g - 11. Let h(s) = 7*s**3 + 9*s**2 + 7*s - 2. Calculate -11*h(b) + 2*u(b). -9*b**3 + 3*b**2 - 9*b Suppose 3*q = 7*q + 4*r, 0 = q - 4*r. Let k(y) = -y - y - 4 + q*y. Let v(t) = -1. Let l(f) = -f + 4. Let u(m) = 2*l(m) + 11*v(m). Give -5*k(p) + 6*u(p). -2*p + 2 Let i be (-3 - (-14)/10)*5. Let m(o) = -2*o - 2. Let r(s) be the third derivative of 0 - 1/24*s**4 + 8*s**2 + 0*s - 1/6*s**3. Calculate i*r(c) + 5*m(c). -2*c - 2 Let a(j) = j**3 + j**2 + j + 1. Suppose 20*r = 23*r + 3. Let u(n) = 4*n**3 + 5*n**2 + 5*n + 5. Give r*u(g) + 5*a(g). g**3 Let f(z) = -1367*z + 6. Let q be f(0). Suppose 2*y - 30 = -3*y. Let c(p) = -3 - 2*p**2 - 4 + 0*p**2 - y*p. Let s(k) = 2*k**2 + 7*k + 8. What is q*s(w) + 7*c(w)? -2*w**2 - 1 Let n(v) = 8*v - 5. Let z(s) = -s - 1. Calculate -n(m) + z(m). -9*m + 4 Let z(u) = 8*u**2 - 6*u. Let a = -1332 - -1331. Let s(b) = -b. What is a*z(k) + 6*s(k)? -8*k**2 Let q(m) = 396*m - 28. Let z(w) = 57*w - 4. Give 3*q(a) - 20*z(a). 48*a - 4 Let v(r) = 189*r**2 - 9*r + 16. Let n(x) = 283*x**2 - 13*x + 23. Give 5*n(b) - 7*v(b). 92*b**2 - 2*b + 3 Let v(r) be the third derivative of 5*r**4/8 - r**3/6 - 541*r**2 - r. Let j(a) = a. What is 6*j(m) - v(m)? -9*m + 1 Let b(t) = 19*t - 2. Suppose -f = d - 172, 84 - 85 = -f. Let a(g) = 1615*g - 171. What is d*b(k) - 2*a(k)? 19*k Let t(d) = -14*d**2 - 121*d - 17. Let l(h) = -5*h**2 - 40*h - 6. Determine -17*l(z) + 6*t(z). z**2 - 46*z Let z(r) = -9*r + 2. Let n(p) = -2*p + 1. Give 4*n(a) - z(a). a + 2 Suppose -2*k = -6*k + 8. Let m(c) = 11 + 4*c + k*c - 14 + 9. Let n(i) = 5*i + 5. Let z(h) = h**3 + 5*h**2 + 6*h + 5. Let x be z(-4). What is x*m(a) + 4*n(a)? 2*a + 2 Let y(j) = -29*j - 2. Let l(p) = p - 1. Determine 4*l(v) - y(v). 33*v - 2 Let i(p) be the second derivative of 5*p**4/12 + 4*p**3/3 + 3*p**2/2 - p - 70. Let w(h) = -14*h**2 - 23*h - 8. Give -11*i(t) - 4*w(t). t**2 + 4*t - 1 Let u(i) = -5*i - 4. Suppose -5*r = -5*k - 1165, 4*k = 3*r - 410 - 523. Let w be 0 + 2/4 - k/(-52). Let y(v) = 10*v + 7. Determine w*y(p) - 7*u(p). -5*p Suppose d - 102 = -0*d. Suppose -7*v = -v + d. Let c(p) = 11*p**3 - 17*p**2 - 11*p. Let g(j) = 4*j**3 - 6*j**2 - 4*j. Determine v*g(n) + 6*c(n). -2*n**3 + 2*n Let s(z) = 14*z + 7. Suppose 5*t + 0*x - 5 = -x, 4*x + 22 = t. Let y(i) = 5*i + 2. Calculate t*s(g) - 7*y(g). -7*g Suppose 3*u - 13 = 8. Suppose 0 = -u*v + 12 + 16. Let z(i) = 3*i. Let p(y) = -3*y. Calculate v*p(g) + 3*z(g). -3*g Let k(d) = 7*d**3 - 6*d**2 + d. Let c(m) = 6*m**3 - 5*m**2 + 2. What is -4*c(u) + 3*k(u)? -3*u**3 + 2*u**2 + 3*u - 8 Let q(c) = -5*c**3 + 2*c**2 + 6*c + 4. Let i(m) = 11*m**3 - 5*m**2 - 13*m - 9. Let g be (-3)/(11/(-396)*-12). What is g*q(a) - 4*i(a)? a**3 + 2*a**2 - 2*a Let b(u) be the second derivative of 7*u**3/6 - 2*u**2 + u. Let c(w) = -w + 1. Let i(q) = q - 1. Let h(o) = c(o) + 2*i(o). Determine -b(l) + 4*h(l). -3*l Let c(q) = 13*q + 38. Let o(w) = 4*w + 1. Calculate -2*c(i) + 6*o(i). -2*i - 70 Suppose 0 = 5*q + 5*g - 10, -3*q + 4*q + 4*g - 17 = 0. Let b(i) = -5*i + 7*i + 6 - 5 - 2. Let w(l) = 4*l - 2. Determine q*w(n) + 5*b(n). -2*n + 1 Let c(p) = 1. Let s(g) = 19*g - 9. Calculate 6*c(x) + s(x). 19*x - 3 Let n(t) = 6*t**3 + 5*t**2 + t + 10. Let p(o) = 12*o**3 + 10*o**2 +
{ "pile_set_name": "DM Mathematics" }
-2 - -8). 4 What is the value of -3 - ((1 - -6) + (0 - 5))? -5 (29 - 34) + 7 + -2 0 Calculate -4 - -1 - (0 + -8 - -5). 0 What is the value of 4 + (-1 - -5 - 6)? 2 Calculate 1 + 2 + -8 + 3 - 2. -4 Evaluate (-11 - -22) + 1 + -8. 4 Evaluate 4 - (12 - 10) - 9. -7 What is -10 - (-14 - -4) - (-4 - -1)? 3 (-1 - -3) + -1 + (1 - 7) -5 Calculate (-4 - 4) + (6 - (6 + 2)). -10 What is 0 + -3 - (3 + -1 + -2)? -3 What is the value of -1 + -5 - -3 - -2? -1 What is the value of -3 - (-1 + 2) - -2 - -8? 6 Evaluate -7 - (4 - 4 - 3). -4 (1 + -1 + -1 - 1) + -3 -5 Calculate (-8 + 0 - (-4 + 0)) + 4. 0 5 + -10 + 10 + -3 2 What is the value of (-5 - -3) + 4 - (-2 + 4)? 0 Calculate (0 - 1) + 11 + -7. 3 Calculate (-1 - (-3 + 6)) + 0 + 1. -3 Evaluate (3 - -4) + -5 - -1. 3 What is the value of (3 - 7) + -2 + 2? -4 Evaluate 5 - (9 + -8) - (-6 + 0). 10 Calculate -3 + 1 - (-4 + (2 - 4)). 4 What is the value of 3 + (-11 - -12 - 4)? 0 Evaluate 3 - 4 - (1 - (2 + -1)). -1 What is the value of -10 - (-3 + 10 + -19)? 2 What is the value of -1 + 3 + -1 - (6 + 0)? -5 Evaluate 2 + -10 - (12 - (24 + -12)). -8 (3 - 1) + 1 + (-2 - 1) 0 Evaluate -5 - -6 - (-3 + (-1 - -3)). 2 Calculate 4 + -7 + 2 + (-4 - -2). -3 What is the value of (-3 - -1) + 1 - 1? -2 What is the value of 8 + (-12 - (14 - 11))? -7 Calculate 2 + (5 - -1) + -5 - 2. 1 Calculate -7 + (2 - (4 - 7 - -1)). -3 What is 3 + (-2 - (8 - 2 - 2))? -3 Evaluate 14 + -6 - (2 + 7). -1 What is 1 + (2 - 1) + 1 + -3? 0 What is the value of -1 + (9 - 3) + -3? 2 Calculate -11 - (1 + -3) - -5. -4 What is 12 + 1 + (0 - 8)? 5 What is the value of -5 + 13 + (9 - 5 - 9)? 3 What is 11 + -6 + 4 - 6? 3 Evaluate (-7 - (-7 + 4)) + 2 + -1. -3 Calculate -1 - ((-1 - -9) + -15). 6 What is -9 - (-2 - (-3 + 6))? -4 What is the value of 3 + (-19 + 16 - (2 - -6))? -8 (1 - 3) + (10 - 9 - -1) 0 Evaluate (-2 - (-3 + 2)) + 2 + 6. 7 What is 1 + (-3 + -8 - -6)? -4 -1 + -9 + 16 + -5 1 Evaluate -6 - (-2 + -3) - 2. -3 Evaluate -5 + -3 - -2 - -11. 5 Calculate (-5 + -3 - -5) + 8. 5 Evaluate (12 - 5) + (-4 - 6). -3 What is the value of -27 - -24 - (-3 - 1) - 6? -5 Calculate 5 - (-4 + -1) - 8. 2 0 + (-3 + 5 - -1) 3 What is -1 - 0 - ((-4 - 3) + 5)? 1 Evaluate (1 - -3) + -8 - -1. -3 Evaluate (-2 - (7 - 7)) + 8. 6 What is -1 + 0 + (-6 - (8 + -9))? -6 What is the value of -6 + (0 - 1) + 3? -4 Calculate 6 - 4 - (-3 + 8). -3 Calculate -5 + -1 + 1 + 0. -5 Evaluate (1 - (-2 - -4)) + 3. 2 What is 9 - (3 - -3 - 0)? 3 What is -1 - (3 + -10 + 4)? 2 Calculate (-7 - (2 - 4)) + -1 + 2. -4 Evaluate -1 - (9 + -15 - 0). 5 Calculate -3 + -5 - (-9 - -3) - -3. 1 Calculate (-3 - -3 - 3) + 7. 4 Calculate 3 + -8 + 5 - -6. 6 Evaluate (-1 + 7 - 4) + -4. -2 What is the value of -4 - ((4 - 10) + 0)? 2 Evaluate 3 + 5 + -4 - 2. 2 Calculate 4 + (17 - 11 - 4). 6 Calculate 0 + 0 + -1 - (89 - 99). 9 Evaluate 0 + 4 + 1 + -7. -2 What is 0 + (-1 - (6 + -3 + 1))? -5 Calculate -2 + 5 + (1 - (-2 - -4)). 2 Calculate 8 - (-3 + 11 - 0). 0 Evaluate -3 + -3 + 1 + 1. -4 What is 2 - 2 - (-4 - (-3 + 3))? 4 (8 - (-4 + 12)) + -7 -7 Evaluate 10 + 1 + -7 + -10. -6 What is the value of 3 + (5 - (1 + 3))? 4 5 - (2 + 2 + 0 - 5) 6 Calculate 12 + -5 + (-3 - (0 + 0)). 4 Calculate (11 - 1) + -37 + 33. 6 What is the value of -11 + (12 - -3) + -6? -2 What is -2 + (-3 + 3 - 0)? -2 Calculate -1 - -2 - (3 + -1). -1 What is the value of -1 - 7 - (6 - (23 - 6))? 3 (1 - 2) + (-14 - -16) + 2 3 Calculate (-1 - (2 - -1)) + 5 - -4. 5 Evaluate 5 + (-5 + -2 - -2). 0 What is the value of -3 - (-5 + (0 - 2))? 4 What is the value of (-2 - 0) + -1 - (-6 + 1)? 2 1 + 1 + -6 - 0 -4 Evaluate (10 - (-2 + 11 + -5)) + -9. -3 What is (-2 - (0 - 3)) + 0? 1 What is the value of (-6 - (-4 + 2)) + -5 + 9? 0 Calculate -7 + (-3 - -6) + 2. -2 What is 1 + 0 + (-1 - (-11 + 11))? 0 -7 - (7 + (-9 - (3 + -5))) -7 14 + -8 - ((-3 - -2) + 0) 7 What is the value of 1 - ((-5 - -1) + 1)? 4 -5 + 7 + -11 + -1 + 10 0 What is -3 - (-1 - -4 - (-17 - -18))? -5 (1 - -1) + (-3 - (6 + -10)) 3 Evaluate (0 - -6) + 46 + -49. 3 What is the value of 9 - 1 - (2 - 0)? 6 What is -3 + -3 + 8 + -4? -2 Calculate (29 - 1) + -10 + -14. 4 (1 - 0) + (3 - (-6 - -6)) 4 What is the value of (3 - (2 - 1)) + -87 + 85? 0 (-1 - -5) + -10 + 5 + -5 -6 Calculate -11 - -1 - (-17 + (11 - -4)). -8 Evaluate (2 - 2) + -8 + 14 + -1. 5 2 + 0 - 0 - (-73 + 70) 5 (-2 - (-1 + -6)) + -1 4 What is -6 - (-11 + 14 + -8)? -1 -9 + 0 + (6 - 2) -5 What is -2 + -1 + (6 - 6 - -8)? 5 3 + -4 + (-2 - 2 - -8) 3 Evaluate 12 + -14 - (0 + -2). 0 What is (1 - (6 - 6)) + (0 - -2)? 3 Evaluate -4 + (-1 - -4) - (-5 - -9). -5 What is the value of 8 - 0 - (36 - 29)? 1 What is 6 + -1 + -2 + 0 + -1? 2 What is the value of 36 + -45 + 5 + 0? -4 What is the value of -4 + -2 + (0 - -4)? -2 What is -11 - (-30 - -14) - 11? -6 Evaluate 0 + (14 + 3 - 10). 7 Evaluate -6 - -15 - 0 - 7. 2 Evaluate 0 + 0 + 8 + -4. 4 What is the value of (9 - 8) + 0 + -4? -3 Calculate (93 - 94) + 11 + -1. 9 1 - -2 - (21 - 11) -7 Evaluate -3 + 1 + 4 - -3. 5 What is the value of -5 - -10 - (-1 + 5)? 1 (-16 - -12) + -3 + 1 - -2 -4 Evaluate -1 - 1 - (4 - 8 - 3). 5 11 + -5 + (-4 - 1) 1 What is 4 + (-1 - (3 - 0))? 0 Calculate (-5 - 0) + -14 + 15. -4 What is the value of 0 - -2 - (-20 - (-33 + 20))? 9 What is -7 + 12 - 3 - 4? -2 What is 3 - (-4 + 6 + 1 + -2)? 2 (2 - 8) + 12 + -8 -2 What is -7 - -18 - (2 - -5)? 4 What is -5 + 5 + 4 + 1? 5 Calculate -3 + -1 + 16 + -9 + 1. 4 What is the value of 3 - (1 - -4) - 0? -2 What is -1 - (0 - (-6 + 2))? -5 Evaluate -1 - -7 - (-9 + 28 + -14). 1 Calculate -3 + 4 - -1 - -1. 3 What is the value of 1 + 4 + (-3 + -3 - 2)? -3 Evaluate (-12 - -8) + (1 - 0). -3 What is -9 - -4 - 3 - -3? -5 -3 + (10 - (3 - -1)) - 2 1 10 - (10 + (2 - 1)) -1 Calculate -1 + (0 - -2) + 99 + -91. 9 What is 13 - (-5 - -15) - -2? 5 What is the value of 2 + -2 + -4 + (10 - 1)? 5 What is 6 - (6 - (3 + (6 - 7)))? 2 Calculate 7 + (4 - 7) + 1. 5 What is -2 + 4 + 1 - (2 - -2)? -1 Calculate -2 + (-2 + -2 + -1 - -8). 1 What is 19 + -3 + -6 + -9? 1 What is -1 + 1 - 2 - -6? 4 8 - (9 + -1 + -2) - 7 -5 What is 2 + -2 - (0 - (1 + -1))? 0 What is the value of -6 - (5 + -9 - 0)? -2 What is the value of 1 - (5 + -18 + (0 - -6))? 8 -12 + 21 - (-5 - -9) 5 Calculate 9 - 17 - (6 - 6). -8 What is the value of 9 - (6 - (5 + -3))? 5 What is (0 - 0) + 1 + (-4 - -8)? 5 -1 - 0 - (6 - (10 - -1)) 4 Evaluate 0 - 6 - (7 - 18). 5 Evaluate 3 - (10 - 4) - -1 - -3. 1 What is the value of 6 + -10 + -3 - (-9 + 7)? -5 -6 + 6 + 2 - (-3 + 1) 4 -1 + 6 - -2 - 17 -10 What is the value of 3 + -3 - -1 - (2 - 2)? 1 Calculate (47 - 53) + (2 - (-4 - 0)). 0 Calculate -1 + -2 + 1 + 1. -1 Evaluate (1 - -3) + (-3 - 0). 1 5 + 6 + -12 + 2 1 Evaluate 0 - (4 + -3 + 5 + -4). -2 What is the value of -7 + 11 - (2 - 0)? 2 What is the value of -3 - -1 - (6 - 6) - -3? 1 Evaluate -3 - ((3 - (-2 + 6)) + -2). 0 Calculate 10 + -18 + 11 + -4 + -1. -2 Evaluate (-5 - -7) + (2 - (1 + 1)). 2 What is 3 - (5 - (-3 - -3))? -2 What is the value of 0 + -6 - (-5 - 2)? 1 -3 - (-2 + (5 - 0) - 9) 3 What is 1 + (5 - 4) - (0 + 0)? 2 What is 3 + (-5 - -4) + -1 - -3? 4 What is the value of -2 + 0 + (4 - 4)? -2 What is -5 + 1 + -4 - -4? -4 What is the value of -13 + 17 + (-5 - 0)? -1 Evaluate 0 - ((2 - 6) + 2). 2 What is the value of -1 + 14 + -4 + -5 - 0? 4 Calculate 3 + -10 + (6 - 2) - -4. 1 What is 6 + (6 - 4 - 4)? 4 What is -5 + 6 + 4 + -2? 3 Evaluate 3 - (0 - 1) - 0. 4 Evaluate (-5 - -13) + -11 - (-6 - -1). 2 Evaluate 0 - (1 - (1 - (-4 - -2))). 2 Calculate -1 + (-1 - 3) + -2 + 6. -1 What is (3 - 10) + -13 + 20 - 5? -5 Evaluate 0 - (2 + 2 + -2 + 0). -2 Evaluate -25 + 11 + 6 - -12. 4 Calculate (1 - (3 + -3)) + -4 + 4. 1 Evaluate -1 + 3 + -5 + -2 + 1. -4 What is (-5 - 1) + -5 + 7? -4 What is the value of -2 + -1 - (-12 + 10)? -1 What is the value of 4 + 1 - (5 + -3)? 3 What is -8 - (-3 + 2) - -1? -6 What is 9 + -14 + (1 - -8)? 4 What is the value of -3 + 2 + 9 - (4 + 0)? 4 Calculate -2 + -2 + (-3 - (1 + -12)). 4 Evaluate -2 - -1 - (12 - 11). -2 What is (-20 - -23) + (1 - 6)? -2 Calculate 1 + (-1 - -2) - 5. -3 What is the value of -1 + -1 + 6 + 5 + -11? -2 Evaluate -4 - (-5 + 12 - 10). -1 What is -11 + (-2 - (6 - 7) - -6)? -6 Evaluate 1 - (-1 - (-4 - -4)) - 5. -3 Evaluate -9 - (-9 + 4 + -6). 2 What is the value of 5 + 1 + -4 + 3? 5 What is -5 + -3 +
{ "pile_set_name": "DM Mathematics" }
f x(f)? 7 Let w(f) = 7*f + f - 3 - 6*f. What is the units digit of w(3)? 3 Let a = 0 + 0. What is the units digit of (3 - -9)*(2 + a)? 4 Suppose -h = -5*p - 20, 3*p - 1 + 5 = -h. Let i be 4*(h/2)/(-5). What is the units digit of (-6)/(i - (-12)/9)? 9 Let m(c) = c**3 - 5*c**2 - 3. Let v be m(5). What is the units digit of v + 3 + -3 - -22? 9 Let c = 74 + -33. What is the units digit of c? 1 Let x(y) = -y**3 + 10*y**2 - 9*y + 5. Let p be x(9). Let h = p + -3. Suppose 2*i = -2, 0*d = h*d + 2*i. What is the units digit of d? 1 Suppose 42 + 10 = 4*r. Let a be ((-18)/4*2)/(-1). Let w = r - a. What is the units digit of w? 4 Let z = -12 - -8. What is the tens digit of z*1*119/(-28)? 1 Suppose b - 58 - 29 = -2*w, 2*w + 5*b = 91. Suppose 2*d + 8 - 20 = -4*t, 0 = 5*d - 3*t - w. What is the units digit of d? 8 Suppose 2*v + 0*v + 5*b - 1 = 0, 0 = v + 4*b + 1. Let s(y) = y**2 - 3*y + 2. Let k be s(2). Suppose -v*j + 6 = -k*j. What is the units digit of j? 2 Let c(k) = -4*k**3 - 23*k**2 - 12*k + 10. What is the units digit of c(-7)? 9 Let i(q) = -3*q - 10. Let n be i(-7). Let a be (-5 + 1)*(-10)/8. Let l = a + n. What is the tens digit of l? 1 Let a = -1 + 10. What is the units digit of a? 9 Let w be (-4)/(-10) + 36/10. Let h = w + -2. Suppose 0 = -h*d - 2*d + 32. What is the units digit of d? 8 Let d(u) = -u**3 + 13*u**2 + 2*u + 12. What is the tens digit of d(13)? 3 Let y(x) = -x + 4*x**3 - 17 - 3*x**3 - x**2 + 31. What is the units digit of y(0)? 4 Suppose -7*k - 2 = -3*s - 2*k, -2*s - 5*k + 18 = 0. Suppose -85 - 19 = -s*o. What is the units digit of o? 6 Let f(g) be the second derivative of g**4/6 + g**3/2 - 3*g**2/2 + 2*g. What is the tens digit of f(2)? 1 Suppose 0*v - 36 = -9*v. Suppose 0*n + 6 = 3*n. What is the units digit of 124/8 + n/v? 6 Let a be (18/15)/(4/10). Let u(h) = -a - h + 2 + 2. What is the units digit of u(-7)? 8 Let p be -11 + 3 + (-1 - -1). Let a = -5 - p. Suppose 0 = -a*m + m + 2. What is the units digit of m? 1 Let w be 2 + (1 - 2 - -2). Suppose 2*c - w*c = -4*i - 16, -5*c + 143 = i. What is the units digit of c? 8 Suppose 4 - 2 = u. What is the units digit of u? 2 What is the units digit of (-326)/4*(-30 - -28)? 3 Let q(h) = h - 3. Let f be q(4). Let s(b) = -7*b**2 + 6*b + 4. Let c(w) = w**2 + w + 1. Let p(r) = 5*c(r) - s(r). What is the units digit of p(f)? 2 Suppose -2*f + 233 = -47. What is the tens digit of f? 4 Suppose -62 - 19 = -3*s. What is the tens digit of s? 2 Suppose -z - 3*f - 7 = 0, 6*f = -4*z + 4*f + 22. Suppose -3*k + 13 = 4*h, 0 = -z*h + 3*h - 5*k + 20. What is the units digit of h? 1 Let w(u) = u**2 + 3*u - 3. Let y be w(-5). Suppose 5*r - 38 = y. What is the units digit of r? 9 What is the units digit of 3*12*30/27? 0 Let s be -18*((-27)/6 + 1). Let k = s + -43. What is the units digit of k? 0 Let z(g) = -g + 3 - 3 + 14 - 2. What is the tens digit of z(-10)? 2 Let m(v) = -v**3 - 8*v**2 + 2*v + 6. Let g be m(-8). What is the units digit of (0 + 5)*(-16)/g? 8 Let n = -8 - -13. Let y be (-2)/7 + 576/56. Suppose w + y = 3*w + s, n*w - s - 11 = 0. What is the units digit of w? 3 Let v = -20 - -23. What is the units digit of ((-8)/v)/(6/(-9))? 4 Let z(g) = -g + 12. Let a be z(9). Let s = a - -18. What is the units digit of s? 1 Let n = -8 + 5. Let b = -29 - -27. Let s = b - n. What is the units digit of s? 1 Let u be (2 - -10)*(-2)/3. Let c = -1 - u. What is the units digit of c? 7 Suppose -5*v + 640 = -3*y, -4*y + 24 = -v + 169. Suppose 3*w - 52 = -n + 23, v = 5*w + n. Let s = w + -5. What is the units digit of s? 0 Let v = 3 + 120. What is the units digit of v? 3 Suppose 6 = 3*d - 0*d. Let a(g) = 3*g - d - 12 + 2*g + 5. What is the tens digit of a(6)? 2 Let m(p) = 3*p - 2. Let y(l) = l**2 + 14*l - 10. Let b(s) = -11*m(s) + 2*y(s). What is the units digit of b(3)? 5 Suppose 4*m - 99 = 3*s, 2*m - s - 25 = m. Suppose 2*o = p - m, -11 - 5 = 2*o + p. Let j = o - -19. What is the units digit of j? 9 Let l = -9 - -1. Let u be l/3*(-15)/4. Let w = u + -6. What is the units digit of w? 4 Suppose 0 = -30*m + 35*m - 470. What is the tens digit of m? 9 Let z = -18 - -49. What is the tens digit of z? 3 Suppose 4 = n - 3*n. Let u be -1*(4*2)/n. Let y(b) = b**2 - 3*b + 2. What is the units digit of y(u)? 6 What is the units digit of 186/12 + (-1)/(-2)? 6 Let y = 74 + -29. Suppose 3*d + 0*d = y. What is the tens digit of d? 1 Suppose -6 = -b - 2, -63 = -5*x - 2*b. Let h be 1/((-2)/(-6))*x. What is the units digit of (-1)/3*(3 - h)? 0 Let v = 16 - 6. What is the tens digit of v? 1 Let p = -22 - -16. Let t be 28/(-6)*45/p. Let j = -23 + t. What is the tens digit of j? 1 Let g(l) = l. Let i be g(-2). Let t be 3/5 + i/(-5). Let z = t + 4. What is the units digit of z? 5 Suppose -38 + 14 = -3*g. Let s(b) = -b**2 + 7*b + 2. Let w be s(g). What is the units digit of -3 - 5/(5/w)? 3 Suppose f = -2 - 1. Let u = 5 + f. Suppose -5 = -3*p + 2*o, 2*p + 3*o - 35 = -u*o. What is the units digit of p? 5 Suppose -19 = -3*n - 4*u, 0 = 2*u + 3 - 11. What is the units digit of n? 1 Let t = 4 - 2. Suppose 0 = -5*b - z + 135, -5*b + 164 = -3*z + 9. Suppose t = 5*l - b. What is the units digit of l? 6 Let o(m) = m**3 - m**2 - 3*m - 3. Let t be o(3). Let p = t + -5. What is the units digit of 0 - 1 - (-3)/p? 2 Let j(h) = h**3 - 6*h**2 + 6*h + 7. Let z be j(6). Suppose z = 5*u + 3*s, -3*s + 4 = 2*u - 15. Let q(n) = n - 4. What is the units digit of q(u)? 4 Let y = -15 + 38. What is the units digit of y? 3 Let o = 58 + 9. What is the units digit of o? 7 Let i be (-123 + -9)/(3/2). Let g = -63 - i. What is the tens digit of g? 2 Let a be ((-164)/3)/(3/9). What is the tens digit of (-22)/(-33) + a/(-6)? 2 Let h = -133 - -77. What is the tens digit of 15/6*h/(-10)? 1 Let j = -224 + 399. What is the tens digit of j? 7 Let k(g) = -3*g + 10. Let h be k(5). What is the units digit of (-6)/15 + (-47)/h? 9 Let g = -21 - -35. What is the tens digit of g? 1 Let b(x) = 9 - x + 4*x + 0*x - 4*x. What is the units digit of b(5)? 4 Suppose 0*z - 3*z = -2*h + 72, -z + 214 = 5*h. What is the tens digit of h? 4 Let o(u) = 2*u**3 + 2*u**2 + u. Suppose h + 3*h - 9 = t, 4*t = -4*h + 4. Let k be o(t). What is the units digit of 1 + k + 3 + -2? 1 Suppose -4*b = i - 175, -b + 579 - 65 = 3*i. What is the units digit of i? 1 Suppose -12 = 2*v - 6*v. Suppose -v = 2*x - 43. What is the tens digit of x? 2 What is the units digit of 3 - 0 - (-20 - 8)? 1 Let x(v) = v**3 - v + 14. Let g be x(0). What is the units digit of (-4)/g - 18/(-14)? 1 Let v(f) be the third derivative of f**6/120 + 2*f**5/15 - f**4/8 + 2*f**3/3 - 7*f**2. What is the units digit of v(-8)? 8 Let f(b) = b**3 - 2*b**2 + 3*b - 2. Let y be f(2). Suppose -y + 20 = 2*l. What is the units digit of l? 8 Let l = 0 + 2. Let g be (1/l - 1)*-2. Suppose 0 = 5*w - k - 42, -g = k + 1. What is the units digit of w? 8 Suppose -3*m + 2*a + 5 = -12, -2*a = 8. Let r be 6/(-27) - (-4 + 274/(-18)). What is the tens digit of ((-18)/m)/(-2) + r? 2 Let f be (8/6)/((-1)/(-3)). Let r = f - 2. Suppose -r*g = g - 9. What is the units digit of g? 3 Let q be (-24)/(-28)*(-14)/(-3). Let u(i) = i**3 - 4*i**2 - i + 4. Let r be u(q). Suppose 10 = -r*p + p. What is the tens digit of p? 1 Let o = -155 - -342. What is the units digit of o? 7 Let f(u) = 26*u**3 - u**2 + u. What is the tens digit of f(1)? 2 Let p(l) = 1 - l**2 + 3*l + 0 + 4*l**3 - 7*l**3. What is the tens digit of p(-2)? 1 Let c be (-9)/21 + 1035/(-35). What is the tens digit of c*-3*(-3)/(-18)? 1 Let q be (-1)/(-1) + (0 - -3). Suppose 0 = q*u - 8 - 12. Suppose -u*z = -z - 16. What is the units digit of z? 4 Let u(d) be the third derivative of d**5/60 + d**4/12 - 4*d**2. What is the units digit of u(-3)? 3 Suppose 10 = -5*w, 4*q - 5*w - 658 = -0*w. What is the tens digit of q? 6 Suppose -37 = -4*i + 39. What is the tens digit of i? 1 Suppose 3*a - 117 = 2*z - 5*z, -a - 3*z + 45 = 0. Let c = -13 + a. What is the tens digit of c? 2 Let g(b) = -8*b - 15. What is the units digit of g(-19)? 7 Let a = 2 - 8. Let l(j) = j**3 + 6*j**2 + 5. Let o be l(a). Suppose -o*k + 15 + 15 = 0. What is the units digit of k? 6 Suppose -4*y = -6*y + 6. Suppose 0*l - 39 = -y*l. What is the tens digit of l? 1 Let j = 2 - 0. Suppose j*m = m + 14. What is the units digit of m? 4 Let d be (6 + -4)/(2/4). Suppos
{ "pile_set_name": "DM Mathematics" }
aces. -0.00004 Suppose -2*b - b - 3 = 0, 0 = -2*f + 4*b + 14. Suppose -f*n - 4*v = -3*v - 724, 708 = 5*n - 3*v. What is n rounded to the nearest 10? 140 Let s = -1 + 1. Let c(d) = -13627*d + 3. Let z be c(-1). Suppose s = p - z + 3530. What is p rounded to the nearest one thousand? 10000 Let j = 78 - 78.00159. What is j rounded to four dps? -0.0016 Let q(u) = 60*u**3 + u**2 + u. Let y be q(-1). Round y to the nearest 10. -60 Let x = 6 + -6.3. Let q = -0.2 + x. Let b = q - -0.5009. Round b to 3 dps. 0.001 Let q = -6 + 6.0034. Round q to three dps. 0.003 Let i(f) = 34175*f**2 + f - 1. Let p = 7 + -6. Let g be i(p). Let x = -50575 + g. What is x rounded to the nearest one thousand? -16000 Let i = -3 + 2.99973. Round i to 4 decimal places. -0.0003 Suppose 69*q - 70*q = -279. What is q rounded to the nearest ten? 280 Let m = -0.16999939 - -0.17. What is m rounded to seven decimal places? 0.0000006 Let k = 40726915.3 + -40726917.53000159. Let h = k + 2.23. Round h to 7 dps. -0.0000016 Suppose 5*t + 6882 = 1382. What is t rounded to the nearest one hundred? -1100 Let n be (-5)/(15/18) - -1080006. Round n to the nearest one hundred thousand. 1100000 Let k(y) = 6*y**3 + y - 1. Let v be k(2). Round v to the nearest 10. 50 Let q be 966/(-24) + ((-2)/(-8))/1. What is q rounded to the nearest integer? -40 Let w = 2.39 - 7.84. Round w to 0 decimal places. -5 Suppose -2*u - 16 = -6. Let x be (-600)/(-9)*6/u. Let v = 11 + x. What is v rounded to the nearest ten? -70 Let i = 5 - 22. Let o = -16.14 - i. What is o rounded to 1 dp? 0.9 Let u = 0.229 + 1.281. What is u rounded to 1 decimal place? 1.5 Let g = 0.29542193 - 0.02017663. Let b = -14.7246647 - g. Let c = b - -15. Round c to four decimal places. 0.0001 Suppose 0 = 5*i - 22671085 + 1351800. Let y = -14463857 + i. Round y to the nearest 1000000. -10000000 Let r = 26.1 - 26.09999733. Round r to 7 dps. 0.0000027 Let i = -1230 + 1230.000000739. What is i rounded to 7 decimal places? 0.0000007 Let s = 3 + -1. Let c = s + -1.99992. Round c to four decimal places. 0.0001 Let z = 8 + 4. Suppose 4*h - z = i - 2*i, i + 2 = 3*h. Suppose 0 = -3*q - 15, -461 = -3*r - h*q + 1359. What is r rounded to the nearest 100? 600 Let d = -0.58 + -0.02. Let a = 6.6 + d. Let q = -5.56 + a. What is q rounded to 1 dp? 0.4 Let x = -241495 - -240672.472. Let y = x + 746.52839. Let d = -76 - y. What is d rounded to 4 decimal places? -0.0004 Let v = -0.09925 - -0.1. Round v to 4 dps. 0.0008 Let s = 35.55 - 183.45. Let v = 154 + s. What is v rounded to 0 dps? 6 Let q = 5 + -3. Suppose q*s - 4 = -0. Suppose 12 = 3*c, -s*c = -2*g + 1384 + 188. What is g rounded to the nearest 100? 800 Let f = -8.613 - -0.013. Let v = f + -0.4. Let s = v - -9.00000081. Round s to seven dps. 0.0000008 Let v = 4.38 - -0.22. Let d = v + -4.5828. Round d to three decimal places. 0.017 Let g = -1.26206 + 1.212. Let c = g + 0.05. What is c rounded to five dps? -0.00006 Let w = 1.08 + -1.1. What is w rounded to two dps? -0.02 Let x(g) be the second derivative of -1276*g**4 + g**3/6 + 2*g. Let c be x(2). Let m = -20246 - c. Round m to the nearest 10000. 40000 Let l = -34.99999975 + 35. What is l rounded to 7 decimal places? 0.0000003 Let i = 17543568.2000028 + -17543597.2. Let o = 29 + i. Round o to 6 decimal places. 0.000003 Let p = -2.98 - 4.18. Let o = p + 7.60097. Let a = -0.44 + o. Round a to 4 dps. 0.001 Let o = 19 - 19.0000128. What is o rounded to 6 decimal places? -0.000013 Let x = 181 - 180.837. What is x rounded to two dps? 0.16 Let m = -4640756.99979 - -4640787. Let h = -43 - -13. Let b = h + m. Round b to 4 decimal places. 0.0002 Let f = -7938.7 - -959.7. Let j = f - -6979.2989. Let d = j + -0.3. What is d rounded to three decimal places? -0.001 Let j = -4.58 - -3.9. Let s = -133.32 + j. Let u = -135.07 - s. What is u rounded to one decimal place? -1.1 Let c = 2.7 + -14.7. Let z = -29 - c. Let y = -17.058 - z. What is y rounded to two dps? -0.06 Let h(n) be the second derivative of -64999*n**3/3 - 4*n**2 + 7*n. Let m be h(4). Round m to the nearest 100000. -500000 Let l = -0.352 - -0.191. Round l to two decimal places. -0.16 Let k = -239.00123 + 239. What is k rounded to four dps? -0.0012 Let f = -14901.8 + 14906.800008. Let d = f - 5. What is d rounded to 6 dps? 0.000008 Let d = -66 + 42. Let s = -5768346.33 - -5768322.3299977. Let y = s - d. What is y rounded to six dps? -0.000002 Let z = -0.137 - -0.14. Let j = z + 6.197. What is j rounded to the nearest integer? 6 Let u = -35.00000081 - -35. What is u rounded to 7 decimal places? -0.0000008 Let i = 97296.61597160742 - 0.22640160742. Let s = i - 97297. Let q = s - -0.61. Round q to 4 dps. -0.0004 Let a = 1259 + -1160.1. Let j = a + -93. Round j to zero decimal places. 6 Let t(s) = -s**2 - 10*s - 4. Let d be t(-9). Suppose -d*j - 9175 = -4*b, 2*j - j - 9205 = -4*b. What is b rounded to the nearest 1000? 2000 Let k = -0.11 - -0.06. Let c = 1.8 + k. What is c rounded to one dp? 1.8 Let i = -0.21 + -0.31. Let l = 45.52 + i. Let t = l - 45.54. Round t to one dp. -0.5 Let j = -0.4 + 0.4000531. Round j to five decimal places. 0.00005 Let p = 0.1992 + -0.1313. What is p rounded to 2 decimal places? 0.07 Let t = -22.999852 + 23. What is t rounded to 5 decimal places? 0.00015 Suppose 2*s - 3*b + 4*b + 1739995 = 0, 0 = -s + 4*b - 870020. What is s rounded to the nearest 100000? -900000 Let x = -1.3088 + 1.3. What is x rounded to 3 dps? -0.009 Let o = -22871032544.99999923 + 22871032679. Let k = -134 + o. What is k rounded to seven decimal places? 0.0000008 Let h(k) = 156*k**3 + 6*k**2 + 9*k - 5. Let l be h(-5). Round l to the nearest one thousand. -19000 Suppose -3*y - a = -29, 5*a = -2*y + 3*a + 22. Let s be 143997/y + 2/6. Round s to the nearest ten thousand. 20000 Let d(j) = 508*j - 56. Let b be d(17). Round b to the nearest one thousand. 9000 Let r be (2 + (-31767)/12)*-36. Let x = r - 135364. Let y = x - 129865. What is y rounded to the nearest one hundred thousand? -200000 Let j(o) = o**3 + o**2 - 1. Let h(w) = -3*w**3 - 4*w**2 - 1026. Let z(s) = -h(s) - 4*j(s). Let i = 2 - 2. Let b be z(i). Round b to the nearest 100. 1000 Let h(t) = -t**2 - 3 + 5*t - 2 - 1. Let x be h(6). Let n = x + 20. Round n to the nearest integer. 8 Let k = 0.26 + -2.24. Round k to one dp. -2 Let m = -0.5 - 2. Let g = 1.4 + m. Round g to 1 decimal place. -1.1 Let p = 83 + -431. Let d(z) = 137*z**2 + 4*z + 7. Let b be d(5). Let w = b - p. Round w to the nearest one thousand. 4000 Let f = 1.6 - 1.412. Round f to 1 decimal place. 0.2 Let x = -14086.2999 - -14085. Let u = x - -1.3. Round u to 4 decimal places. 0.0001 Let y = 2.231 - 0.121. Let p = -0.05 + y. What is p rounded to 1 decimal place? 2.1 Let r = 7.999906 - 8. What is r rounded to 5 decimal places? -0.00009 Let k = -0.6 - -0.2. Let f = 0.38 + k. Let h = f - 5.58. Round h to 0 decimal places. -6 Suppose -c - 2*c - 24 = -2*p, -5*c + 5*p = 45. Suppose o = -4*m - 22, 5*o + 0*o = 3*m + 28. Let b be (1580/m)/(2/c). Round b to the nearest one hundred. 800 Let p be (-171942)/(-3)*-1*1. Let t(w) = -4796*w**2 - 7*w + 12. Let d be t(6). Let k = d + p. What is k rounded to the nearest 100000? -200000 Let x = -0.001 - -1.006. Let b = -1.1 + x. Round b to two decimal places. -0.1 Suppose -y + 3*z = 4988, 0 = -4*y - 8*z + 3*z - 20020. What is y rounded to the nearest one thousand? -5000 Let q = 9 + -5. Let u be (-2)/q + (-3200002)/(-4). Round u to the nearest 100000. 800000 Suppose 7*v - 2*v - 162110 = 0. Let y = -61422 + v. What is y rounded to the nearest ten thousand? -30000 Let x = 4.7884 + -0.78835. Let h = x - 4. Round h to 4 decimal places. 0.0001 Let w = -812.14763033 - -810.84763. Let d = 1.3 + w. Round d to 7 dps. -0.0000003 Let h = -75 - -74.9969. Round h to 3 decimal places. -0.003 Suppose 4*k = -12, -k - k + 1061994 = -3*s. What is s rounded to the nearest ten thousand? -350000 Let z be -1 - 2 - (3 + -2) - 4649996. What is z rounded to the nearest one hundred thousand? -4700000 Suppose -n + 26 = 266. Round n to the nearest 100. -200 Let g = -0.01 - -0.00416. What is g rounded to four dps? -0.0058 Let h = 90.99999899 + -91. Round h to 7 decimal places. -0.000001 Let y be (1 + -2)*-3*1. Let x(i) = 5*i**2 - 2*i + 9. Let g be x(-4). Suppose y*o = -2*q - g, 0 = q - 5*o + o +
{ "pile_set_name": "DM Mathematics" }
- 4*m**3 + 0*m**3 + (m**3 + 3*m - 3*m)*(-2 + 2 - 2) - 4 + 4 - 2*m**3. 13*m**3 + 3 Expand (2*i**3 - i**3 - 2*i**3)*(-6*i**2 - 3*i + 3*i) - 3*i**5 + i**5 + i**5 + (0 + 2*i + 0)*(0*i + i**4 + 0*i). 7*i**5 Expand (-6*v + 3*v + 2*v)*(3 - 3 - v**2) + (42 - 42 + 389*v**2)*(-v - 1 + 1). -388*v**3 Expand (2 - 2 - 3*c)*(3338 - 3350 + 3*c - 4*c)*(-2*c**2 + 0*c**2 + 4*c**2). 6*c**4 + 72*c**3 Expand (6885*u**2 - 13769*u**2 + 2*u + 152 + 6886*u**2)*(5*u**2 + 3*u**3 - 5*u**2). 6*u**5 + 6*u**4 + 456*u**3 Expand (-1 + 5 - 6)*(-3 + 1 + 1)*(5*h**2 + h - h) - 190 + 190 - 219*h**2. -209*h**2 Expand (-1 + 5 - 2)*(3*q**2 - 3*q**2 + 2*q**3) - 1 + q**3 + 1 - 56687 + 5*q**3 + 5*q**3 + 56688. 15*q**3 + 1 Expand (-26 + 6 + 12)*(-5*w - w + 3*w)*(6*w - 3*w - w) + (w**2 - 2*w + 2*w)*(-1 - 4 + 3). 46*w**2 Expand (-61*d + 3 + d**3 + 61*d)*((1 - 1 - 2*d)*(-2 - 1 + 1) + (3 - 1 + 0)*(77*d + 87*d - 145*d)). 42*d**4 + 126*d Expand (8 - 1 + 2425*i - 2445*i)*(-3*i + 3*i + 3*i). -60*i**2 + 21*i Expand (x + 2*x - x)*(17*x + 15*x + 5*x)*(-4*x + 8*x - x). 222*x**3 Expand -64*f**2 + 105 - 105 - f**2 + 2*f**2 - 5*f**2 + (2*f + 0 + 0)*(f - 3*f + 3*f) + 2*f**2 - 5*f**2 + 4*f**2. -65*f**2 Expand (-c + c**3 + 184*c**2 - 373*c**2 + 195*c**2)*(-8*c - 14 + 14). -8*c**4 - 48*c**3 + 8*c**2 Expand (-2*l + 0*l + 6*l)*(16*l + 33 - 33)*(-3 - 1 + 6)*((-3 + 3 + 2)*(0*l - 2*l + l) + 0*l - l - 3*l). -768*l**3 Expand (1 + 4 - 6)*(0*k - k + 0*k + 2 - 2 - 2*k + (-4*k + 6*k - k)*(-2 + 3 - 3) + (24*k + 9 - 9)*(3 + 0 - 1))*(2 + 1 - 4). 43*k Expand (-2 - 1 + 4)*(-74*y**2 - 22*y**2 - 11*y**2) - 2*y**2 - 3*y**2 + 3*y**2 + 0*y**2 + 2*y**2 + 0*y**2. -107*y**2 Expand (8186*g - 4096*g - 4092*g + 68)*(-g - g + 0*g)*(-1 - 2 + 1). -8*g**2 + 272*g Expand (2*x**2 - 4*x**2 + 0*x**2)*(-129 + 242 - 113 + 2236*x). -4472*x**3 Expand (3 - 3 + 7 + 2*d)*(1 - 9 + 2 - d). -2*d**2 - 19*d - 42 Expand (-3*w + 86 + 2*w + 0*w)*(24*w**2 - 5*w**2 - 3*w**2). -16*w**3 + 1376*w**2 Expand 2*b - 2*b**3 - 1 + 1 + 162*b**3 - 37*b**3 + 97*b**3 + (-b**2 - 2*b + 2*b)*(2 - 2 - 2*b) + 2*b**3 - 3*b**3 - 2*b**3. 219*b**3 + 2*b Expand (2*x**4 - 3*x**4 + 2*x**4)*(5 - 2 - 2)*(3*x + 0*x - x + (4*x - 6*x + 3*x)*(-4 - 1 + 2)). -x**5 Expand (3*t**3 + t**2 + 2*t**2 - 13 + 12)*(-47*t**2 + 74 - 74). -141*t**5 - 141*t**4 + 47*t**2 Expand (-14356 - 293*q + 14356)*(1 + 1 - 1)*(-5 + 2 + 2). 293*q Expand (-112*k - 43*k - 64*k)*(k + 2*k + 0*k). -657*k**2 Expand (-2 + 14 + 6)*(-5*i + i + 2*i)*(0 + 4 + 19). -828*i Expand (-99 + 99 + 5*d)*(3*d**3 + 2*d**4 - 3*d**3) + 4*d**2 - 4*d**2 - 3*d**5 + (-d + d - 2*d**2)*(-d**3 - 1 + 1). 9*d**5 Expand (2*u - 3*u + 0*u)*(2 - 1 + 0) + 3*u - 3*u - u + u + 12*u + 5*u + 3*u - 2*u - 2*u. 15*u Expand (c**2 + 3*c**4 - c**2)*(-108 + 10 + 15 - 162). -735*c**4 Expand (5 - 5 - 2)*(-8*b - 4*b - 2*b)*(-3*b**2 - b**2 + 10*b**2). 168*b**3 Expand ((-x - x + 3*x)*(x - 2 + 2) + 18 + 25*x**2 - 18)*(-16*x - 16*x + 13*x). -494*x**3 Expand (-5 + 2 + 2)*(-18*q**2 + 0*q**2 - 20*q**2)*(1 - 4*q - 1). -152*q**3 Expand (-42 + 29 - 29)*(-5*j**2 + 20 - 20)*(3*j**2 - 4*j**2 - j**2). -420*j**4 Expand 3 - 2*h - 3 + (-4*h + 2*h + h)*(-2 + 1 + 6) + 22 - 22 - 12*h. -19*h Expand (-10 + 4 + 1)*(3*c**4 - 3*c**4 - 3*c**5). 15*c**5 Expand (0 + 2*c + 3 - 6)*(-193*c**3 - 189*c**3 + 249*c**3) + c**4 - 6*c**4 + 3*c**4. -268*c**4 + 399*c**3 Expand (2 - 2 - a)*(0*a - 5*a + 4*a)*(-2 - 1 + 5). 2*a**2 Expand (10*h**2 + 9*h**2 + 2*h**2)*(-h + h - h + (-2 + 1 + 2)*(-4*h + h + 5*h) + 2*h - 5*h + h). -21*h**3 Expand -2*u**2 + 2*u**2 - u**2 + (3 + 2 - 7)*(2*u**2 - 4*u**2 - 12*u**2) - 3*u**2 + 0*u**2 + u**2 + 6 - 6 - 2*u**2. 23*u**2 Expand (18*c**2 - 36*c**2 - 9*c**2)*((2 + 1 - 2)*(3*c**3 + c - c) + 0*c**2 - 2*c**3 + 0*c**2). -27*c**5 Expand (2*r + 1 - 1)*(r**4 + 3*r**2 - 3*r**2) - 3*r**3 + 3*r**3 + 20*r**5. 22*r**5 Expand 2 - 2 - 4*b**3 + (-5*b**3 + 3*b**3 + 3*b**3)*(0 + 2 + 0) + 941*b + 15*b**3 - 941*b. 13*b**3 Expand (706*m - 1656*m + 531*m)*(-2*m**2 + 2 - 2). 838*m**3 Expand 1 - 2*m - 1 + (76*m + 160*m - 122*m)*(-5 + 2 + 4). 112*m Expand (-3 - 2 + 6)*(-3*c**4 + 0 + 0) + (4*c - 2*c - 6*c)*(-3*c**3 - 6*c**3 + 3*c**3). 21*c**4 Expand (-2 - 2*r + 2)*(0*r + 17*r**2 + 0*r) + (-4 + 4 - r**2)*(3*r - 9*r + r) + (4 - 2 + 0)*(0*r**3 + 5*r**3 - 4*r**3). -27*r**3 Expand -6 + 6 - 3*w + (-2 + 0 + 0)*(-2 + 2 + 2*w) - 15*w - 3 + 3 - 2. -22*w - 2 Expand (-7 + 5 - 32 - 26)*(-2 + 2*z + 2). -120*z Expand (-5 + 24 + 10)*(-5*l + 0*l + 4*l) + (3 - 2 + 1)*(-3*l + 4*l - 3*l). -33*l Expand (36 - 7 + 31)*(2*l + 0*l - 4*l) + 20*l - l - 3*l. -104*l Expand (7*k**2 + 3*k**2 - 3*k**2)*(-3*k**2 + 4 - 4) + (0*k + 3*k - 4*k)*(k**2 - k**2 + k**2 + 3*k**3) + 3*k**4 + 0*k**4 - 4*k**4. -25*k**4 - k**3 Expand 2*f**2 - 2*f + 2*f + 9*f**2 + 0*f + 0*f - 11 - 14*f**2 + 11 + (-4*f + 3*f - f)*(-1 - f + 1). -f**2 Expand 3*w**2 + 4*w + w - 4*w + (w - 4*w + w)*(1 - 2*w - 1). 7*w**2 + w Expand (b**3 - 1 + 1)*(1 + 1 - 1) + (24*b + 50*b - 11*b)*(-12 + 12 - 8*b**2) - 2*b**3 - 3*b**2 + 3*b**2. -505*b**3 Expand ((o + 0*o + 2*o)*(2*o**2 + 2*o - 2*o) - 29*o**3 - 7*o**3 - 23*o**3)*(-1 - 2 + 2). 53*o**3 Expand (1 + 1 - 1)*(-7*n + n - 4*n). -10*n Expand (2*j**3 - 2*j**3 + j**4 + (-j + j + 2*j**3)*(-4*j + 4*j - j) + 6*j - 6*j + 2*j**4)*(-37*j - 8 + 1 + 6). -37*j**5 - j**4 Expand (-5 - 22 - 56)*(0*z + 0*z + 2*z) - 3*z - 2*z + 3*z. -168*z Expand -y - 3*y + y + (-3 + 6 - 2)*(-24*y + 362 - 362). -27*y Expand (346*y**3 - 346*y**3 - 12*y**5)*(-2 + 3 + 5). -72*y**5 Expand (-77 + 167 - 83 + 2*z)*(2 - z + 6*z - 4*z). 2*z**2 + 11*z + 14 Expand -4*b**2 + 5*b**2 + 2*b**2 + (2*b - 3*b - b)*(14*b + 8*b - 6*b). -29*b**2 Expand (113*l + 752*l + 124*l + 145*l - 2)*(-2 + 0 + 0). -2268*l + 4 Expand (3 - 11 + 4)*(0 - 1 + 2 + 6 + 0 - 3 + (-2 + 1 - 1)*(4 - 2 - 3) + (-6 + 1 + 3)*(-2 - 1 + 0))*(-3*o + 5*o + 0*o). -96*o Expand 6*p**2 + 2*p - 2*p + (-7*p + p + p)*(4*p - 3 + 3). -14*p**2 Expand -w**5 - 21*w**3 + 12*w**3 + 11*w**3 - 16*w**2 - w**5 + 2*w**2 - 2*w**2 + (2 - 2 + w**2)*(3*w**3 - 2*w**3 - 2*w**3). -3*w**5 + 2*w**3 - 16*w**2 Expand -5*r - 2 + 4 - 3 + (-1 + 4 - 4)*(r - 4*r + r) - r + 0 + 0 - 7*r + 2*r - 12*r. -21*r - 1 Expand (-471*q**3 + 412*q**3 + 949*q**3)*(q - 2 + 2) + 2*q**4 + 2*q**3 - 2*q**3. 892*q**4 Expand (-185*k + 196*k + 142*k)*(-5*k + k + 2*k) - 2*k**2 - 3*k + 3*k + (0*k + 2*k + 0*k)*(-2*k - 2*k + 2*k). -312*k**2 Expand (1 + 0 - 2 + (2 + 3 - 4)*(-3 + 0 + 1))*(-18*w - 34*w - 166*w). 654*w Expand -11*y**5 - 63 + 63 + (-y + 4*y - y)*(y**4 - 2*y**4 - y**4) + 5*y**5 + 0*y**5 + y**5 + 2*y**3 - 2*y**5 - 2*y**3. -11*y**5 Expand (-l + 0*l + 2*l)*(-2 + 0 - 2)*(25 - 16 - 21 - 13). 100*l Expand (3*o - 7*o + 2*o)*(63*o**3 + 2*o - 2 - 162*o**3 - 5*o**3). 208*o**4 - 4*o**2 + 4*o Expand 0*w - 2*w + 4*w - w + 0 + 0 - w + w + 2*w + (2 + 3 - 3)*(-2*w + 2*w - w) - 2 + w + 2 + 144*w - 4*w + 128*w. 270*w Expand (6*s**3 + 9*s**3 - 13*s**3)*(-8*s**2 + 4*s**2 + 12*s**2). 16*s**5 Expand (-2 - 3 + 2)*(-2 - 142*j - 119*j**2 - 118*j + 260*j). 357*j**2 + 6 Expand (7*g**3 + 7*g**3 - 6*g**3)*(-6 + 3 + 4)*(3*g + 0*g + 3*g). 48*g**4 Expand (-3*k + 2*k + 4*k)*(6*k**2 + 3*k**2 + 16*k**2). 75*k**3 Expand (-157*p + 76*p + 69*p)*(-5*p**4 + 0*p**4 - 3*p**4). 96*p**5 Expand (3 - 14 + 0)*(2*r**4 + 2*r**2 - 2*r**2)*(6 - 10*r - 6). 220*r**5 Expand (2*r**3 - 4*r**3 - 3*r**3)*(4*r + 0 + 0)*(1 - 2 + 2)*(r + 2 - 2). -20*r**5 Expand 83*z**4 + 60*z**4 - 49*z**4 + (0*z + 3*z - z)*(4*z**3 - 3*z**3 + 0*z**3). 96*z**4 Expand (2*m + 2 - 2)*(0*m + m**4 + 0*m) + 273*m**5 + 14*m**2 - 3*m**4 + 0*m**4 - 271*m**5. 4*m**5 - 3*m**4 + 14*m**2 Expand (-6*v - v + 4*v)*(3 + 23 + 15)*(-5*v**4 - 2*v**4 + 4*v**4). 369*v**5 Expand (-2*t + 2*t + t + (3*t - 3*t - t)*(0 + 3 - 5) + t + t - t + 3*t - 4*t + 2*t)*(7 + 66 + 71). 720*t Expand (5*m - 2*m - m)*(-903*m**2 - 207*m**2 - 16*m**2) + 1 - 1 + 2*m**3. -2250*m**3 Expand (-23*i - 98*i - 14*i)*(2*i - 5*i - 3*i - i). 945*i**2 Expand 0*i - 13*i - 12*i + (-1 - 2 + 1)*(2*i - i + 0*i). -27*i Expand (-v**2 - 3*v**2 + 6*v**2)*(3*v - 3*v - 2*v + (0*v + 2*v + 12*v)*(-8 - 1 + 6)). -88*v**3 Expand (-258*x - 28*x**3 + 258*x)*(3*x + 0 + 0*x + 3 + 11). -84*x**4 - 392*x**3 Expand (2 - 15 - 8)*(5*k**2 + 6*k**2 - 8*k**2). -63*k**2 Expand (-116*h**3 - 66*h**3 + 233*h**3)*(0 + 2*h**2 + 0 + (-2*h - h + 5*h)*(h - 3 + 3)). 204*h**5 Expand -4*n**2 + 4*n**2 - 2*n**4 - 2*n**3 - 2*n**4 + 2*n**3
{ "pile_set_name": "DM Mathematics" }
08*g = -4206*g + 14 for g. -7 Solve 200*a + 29 = 203*a - 7 for a. 12 Solve 450 = -132*s + 537 + 837 for s. 7 Solve -2301 - 10043 + 2009 = 265*s for s. -39 Solve 2080 = -1648*z + 1808*z for z. 13 Solve 0 = 44*d - 159*d - 194 - 266 for d. -4 Solve 2 = -n - 8 - 6 for n. -16 Solve 7*s + 79*s = -37*s - 4428 for s. -36 Solve 38044 - 40960 = -108*x for x. 27 Solve 78*m - 3335 = -125*m + 58*m for m. 23 Solve 230*r - 942 + 252 = 0 for r. 3 Solve 1530 - 846 = 36*q for q. 19 Solve 597*y + 2903 + 1792 + 4857 = 0 for y. -16 Solve -6380 = -298*a + 78*a for a. 29 Solve 184*f - 869 - 419 = 0 for f. 7 Solve -112038*b - 779 = -111997*b for b. -19 Solve -1216*y = -1213*y + 21 for y. -7 Solve 0 = 3*n + 3598 - 1697 - 1787 for n. -38 Solve 8*x - 36 + 16 = -60 for x. -5 Solve 16*z + 134 - 598 = 0 for z. 29 Solve 16*k + 140 - 268 = 0 for k. 8 Solve 5*g - 31 = -38*g - 74 for g. -1 Solve -7*m = -3*m - 9*m + 40 for m. 8 Solve 0 = 22*d - 299 + 409 for d. -5 Solve 977*k + 6349 = 383*k - 1967 for k. -14 Solve -261*h = -81*h + 108*h - 2016 for h. 7 Solve 195*j = 117*j + 126*j - 672 for j. 14 Solve 6*r + 397 = 150*r - 1187 for r. 11 Solve 15*z = 9*z - 16*z + 22 for z. 1 Solve 0 = 16*d - 1824 + 2016 for d. -12 Solve 392 = -59*n - 537 - 192 for n. -19 Solve 0 = -79*w - 132 + 211 for w. 1 Solve 239*q = 282*q + 172 for q. -4 Solve 2599 = 51*x + 23*x + 2895 for x. -4 Solve 0*i + 13*i + 492 = -69*i for i. -6 Solve -23*x + 363 + 432 = 197 for x. 26 Solve -164*c = -137*c - 81 for c. 3 Solve -13*d - 160*d + 223 = 1953 for d. -10 Solve -3201 = 434*w + 2007 for w. -12 Solve 90 = -26*z + 129*z - 1455 for z. 15 Solve 2055 + 1785 = -384*c for c. -10 Solve 42*i + 504 = -710 + 248 for i. -23 Solve -329*c + 272*c = -741 for c. 13 Solve -4*u + 301 = 325 for u. -6 Solve 504*v - 69*v = 2670 - 12240 for v. -22 Solve 250 = -9666*n + 9641*n for n. -10 Solve 62153*y - 62175*y = 264 for y. -12 Solve -32*i - 24*i - 176 = -34*i for i. -8 Solve 34*j + 24*j = 35*j - 483 for j. -21 Solve -297 = 162*c - 621 for c. 2 Solve 0 = -22*s + 147*s + 1625 for s. -13 Solve -6*r - 10*r + 2*r + 42 = 0 for r. 3 Solve 273*r = 69*r - 1632 for r. -8 Solve 98*w - 46*w - 216 = 34*w for w. 12 Solve -1262 + 272 = -13*d - 32*d for d. 22 Solve 0 - 203 = -23*c - 42 for c. 7 Solve 91*k + 131 = -29*k - 2269 for k. -20 Solve -48 = -26*p + 447 + 233 for p. 28 Solve 272*v = 299*v - 216 for v. 8 Solve -6 - 170 = -12*u - 10*u for u. 8 Solve 98*y + 121*y - 254*y - 350 = 0 for y. -10 Solve -108*s - 680 = -40*s for s. -10 Solve 28*j = -725 + 837 for j. 4 Solve -8*w - 191 = -199 for w. 1 Solve -5*i = -78*i - 15*i - 528 for i. -6 Solve 21*d + 24*d - 54*d = 135 for d. -15 Solve -359*i = -253 - 8722 for i. 25 Solve 95*b + 291 + 754 = 0 for b. -11 Solve -47 + 368 = 66*q - 999 for q. 20 Solve -10*o + 36*o - 600 = -24*o for o. 12 Solve 29*s = 66*s + 296 for s. -8 Solve 1012*f - 986*f = 442 for f. 17 Solve -3022 = 424*h + 2490 for h. -13 Solve 460*p = -6034 - 1326 for p. -16 Solve -741*l - 16869 - 15309 = -6243 for l. -35 Solve -102*a - 5*a + 25 = -403 for a. 4 Solve -9*t = 22*t - 159 + 128 for t. 1 Solve 590*z - 962 = 1151*z - 598*z for z. 26 Solve 0 = -23*j - 163 + 439 for j. 12 Solve -206 = 75*q + 469 for q. -9 Solve 54*p - 1 - 123 + 70 = 0 for p. 1 Solve 1497*u = 732*u + 748*u + 391 for u. 23 Solve 271*c + 42 = 292*c for c. 2 Solve 0 = 59*g - 19 - 335 for g. 6 Solve -4958 + 5362 = -101*i for i. -4 Solve -111*t - 1434*t = -53693 - 1927 for t. 36 Solve -190 = -3*f - 9*f + 26 for f. 18 Solve -124 + 46 + 34 = -2*h for h. 22 Solve -350 = 28*l - 462 for l. 4 Solve -48*d + 151*d + 618 = 0 for d. -6 Solve -28031*p + 28030*p + 2 = 0 for p. 2 Solve 0 = -13*h + 13947 - 13713 for h. 18 Solve -30*j + 531 = -47*j - 42*j for j. -9 Solve 58*x = -95*x - 16*x + 2028 for x. 12 Solve 44*d = 346*d + 4614 - 84 for d. -15 Solve 37*m + 49 + 4 = 90*m for m. 1 Solve -56*a = -41 + 489 for a. -8 Solve 285*q + 5459 - 1754 = 0 for q. -13 Solve -24*j + 138 = 9*j + 13*j for j. 3 Solve 15*c + 99 = -6 for c. -7 Solve -14*s - 47*s = 6*s - 12*s for s. 0 Solve -88*r + 68 - 596 = 0 for r. -6 Solve -4*a - 322 = -286 for a. -9 Solve 16*r - 348 = 27*r + 18*r for r. -12 Solve -251*q = 204*q - 2730 for q. 6 Solve -34*y + 343 + 45 = 48 for y. 10 Solve 294 - 26 = -293*l + 1440 for l. 4 Solve 19*v + 96 = -66 + 10 for v. -8 Solve 44*z + 172 - 24 + 160 = 0 for z. -7 Solve 42*y - 5 = 38*y - 29 for y. -6 Solve -474*l - 5169 = 993 for l. -13 Solve 0 = 76*f - 128 - 24 for f. 2 Solve -30*y + 3981 = 3531 for y. 15 Solve -2517 - 182 = -639*g + 1774 for g. 7 Solve -333 - 358 = 132*l + 101 for l. -6 Solve -7*i - 14*i + 8 + 97 = 0 for i. 5 Solve 27*m - 28*m - 20*m = 231 for m. -11 Solve 272*f + 5896 = -264*f for f. -11 Solve -13*r - 6822 = -6445 for r. -29 Solve 0 = 33*u - 103*u - 770 for u. -11 Solve -18*w - 18 = -32*w + 16*w for w. -9 Solve -120*n - 193*n - 8921 = 498*n for n. -11 Solve 56*j = 67*j + 8 + 146 for j. -14 Solve 71*b + 45*b + 42*b = 0 for b. 0 Solve 6490 + 1347 = -625*a + 164*a for a. -17 Solve -120*l - 86*l - 61*l = 2136 for l. -8 Solve 917 = 2*h + 484 + 477 for h. -22 Solve 120*t + 120 = -119*t + 249*t for t. 12 Solve 0 = -312*n + 735 + 2697 for n. 11 Solve 43*s + 3627 - 2509 = 0 for s. -26 Solve 12*z - 8*z = -20*z for z. 0 Solve 559*d = 549*d + 90 for d. 9 Solve 0 = -141*v - 286*v - 7686 for v. -18 Solve 0 = -822*z + 803*z - 304 for z. -16 Solve -23*i - 1911 = 28*i + 96*i for i. -13 Solve -276 = 13*x - 198 for x. -6 Solve 141*h + 144*h = 0 for h. 0 Solve -27*o + 13*o - 480 = -46*o for o. 15 Solve -699*z + 647*z + 112 + 980 = 0 for z. 21 Solve 73 - 282 = -19*i for i. 11 Solve 44*y - 45786 + 46358 = 0 for y. -13 Solve -123 - 118 = -156*l - 85*l for l. 1 Solve 11*f + 3592 - 3625 = 0 for f. 3 Solve 439*i - 316*i - 984 = 0 for i. 8 Solve -184*f = 424*f + 8512 for f. -14 Solve 0 = -1069*l + 1223*l - 3696 for l. 24 Solve -328*v + 2508 = -100*v for v. 11 Solve -646*x + 6330 = -435*x for x. 30 Solve 5168*d = 5248*d + 1440 for d. -18 Solve -1815*a + 1725*a = 276 + 804 for a. -12 Solve 0 = -173*x + 229*x - 560 for x. 10 Solve 195*c = 459*c + 2112 for c. -8 Solve 30*x - 18*x + 708 = -47*x for x. -12 Solve 28*u - 26*u - 4*u = -6 for u. 3 Solve 118*d + 1010 - 18 = -6*d for d. -8 Solve 16*u - 825 = -14*u - 315 for u. 17 Solve 6*a - 46*a - 48*a + 176 = 0 for a. 2 Solve 7*y = 10 + 13 + 12 for y. 5 Solve 918 - 642 = 23*n for n. 12 Solve -235 - 335 + 66 = 42*s for s. -12 Solve 108*t + 31 = 56*t + 21*t for t. -1 Solve -26*j + 272 = -137 + 591 for j. -7 Solve -175*j = -190*j + 15 for j. 1 Solve 0 = 787*m - 223*m + 11844 for m. -21 Solve -6*c + 261 = 345 for c. -14 Solve -1617*p - 644 = -1663*p for p. 14 Solve -159*y = -65*y - 49*y - 405 for y. 9 Solve 51*o - 4897 + 4234 = 0 for o. 13 Solve -918*l - 3360 = -638*l for l. -12 Solve 0 = -86*o + 118 + 54 for o. 2 Solve 54 = 439*r + 493 for r. -1 Solve 0 = 117*a - 13 - 26 + 507 for a. -4 Solve -213*v - 273*v = -3402 for v. 7 Solve -1097*a - 5 = -1098*a - 1 for a. 4 Solve 384*w - 990 = 4002 for w. 13 Solve 28*d + 145 + 219 = 0 for d. -13 Solve -1038 + 1859 = 821*j for j. 1 Solve -119*c - 4810 = -489*c for c. 13 Solve 3263*h + 29480 = 1789*h for h. -20 Solve 0 = -119*g - 132*g + 3961 - 949 for g. 12 Solve 612*k - 1819 = -15895 for k. -23 Solve -121 = 42*y - 10*y + 135 for y. -8 Solve 83*i - 5730 + 5896 = 0 for i. -2 Solve 24*n + 1095 = -49*n for n. -15 Solve -124*v - 560 + 1823 = -1093 for v. 19 Solve -125*c + 153 + 23 = -199 for c. 3 Solve -26*q = -42*q - 43*q + 708 for q. 12 Solve 20405 = -53*r + 20458 for r. 1 Solve 31358*n + 1836 = 31154*n for n. -9 Solve -1126 = 101*n - 15 for n. -11 Solve 6*r - 9 = 93 for r. 17 Solve -9 - 27 = 15*b + 9 for b. -3 Solve -4206 + 4213 = -u for u. -7 Solve 43 = 19*c + 195 for c. -8 Solve -3172 = -149*h - 95*h for h. 13 Solve 45 = 2721*x - 2724*x for x. -15 Solve 170*v - 184 - 285 = -129 for v. 2 Solve -72103*g + 854 = -71981*g for g. 7 Solve 3*v - 60 = 5*v + 13*v for v. -4 Solve 13*r - 10 = -4*r - 112 for r. -6 Solve 0 = -14048*y + 13977*y - 2059 for y. -29 Solve 13*g + 38 - 58 = 123 for g. 11 Solve 0 = -429*n + 386*n - 43 for n. -1 Solve -48*f + 38*f + 1176 = 32*f for f. 28 Solve -233*r - 78 = -259*r for r. 3 Solve 0 = -941*c + 8925 + 11777 for c. 22 Solve -93*h - 274 = -88 for h. -2 Solve g + 102 = 118 for g. 16 Solve
{ "pile_set_name": "DM Mathematics" }
4, 2*d + 8 = -2*d - 4*m. Let j = d + 5. Solve 5*u + 15 = -5*b, j*b - 3*u - 14 = 6*b for b. -5 Let o(x) = -6 + x**2 - x + 2 + 9. Let q be o(0). Solve 2*g + q*r = -30, 3*g - r + 3 + 8 = 0 for g. -5 Suppose 0*z - 13 = -z. Suppose -4*l - c = -z - 3, 5*c + 15 = -l. Solve 4*v - 2*o = -l*o - 11, 2*o + 9 = -3*v for v. -5 Suppose 2*z - 2*x = 4, -z + 6*z - 3*x - 12 = 0. Solve z*a + 2*a = 3*c + 14, -4*c - 9 = 3*a for a. 1 Let v be (4/6)/(14/63). Suppose -79 + 31 = -v*h. Solve 0 = -3*c + t - 13 - 2, h = -c + 4*t for c. -4 Let t(j) = j**2 + 8*j + 5. Let n be t(-8). Let c = -2 + n. Suppose 9 - 3 = c*z. Solve -z*r + 8 = -4*u, -5*u + 0 = -5*r + 10 for r. 0 Let w(c) = -c + 1. Let d be w(-8). Suppose 2*s - d = -s. Suppose 0*u + 3*m = -2*u, -m + 7 = s*u. Solve t + 6 - 16 = -u*a, 2*a = -5*t + 24 for a. 2 Let s = -4 + 15. Solve -t + 2*j = 5, -2*t = 4*j - s - 3 for t. 1 Let q(a) = 5 + 0 + a - 5. Let z be q(5). Let i = 0 + z. Solve 0 = 5*t - 3*b - 2 - 0, t - i*b = -4 for t. 1 Let f = 4 - 2. Suppose -2*l - 5*h = -10, 3*l - h - 6 = -4*h. Suppose -f*x - x = -5*m + 80, l = -4*m - 2*x + 64. Solve 2*n = 4*k - 0 - m, -k + 18 = -4*n for n. -4 Suppose -2*f + 2 = 3*a, f - 14 = -3*f - a. Suppose f*g = 2*g - 8. Let v be (-8)/(-5) + g/(-10). Solve 0 = -2*t - 0*s + 3*s - v, -t = s - 9 for t. 5 Let g(q) = q**3 - 4*q**2 + 2. Let n be g(4). Solve 4*b - n = -0*b - 2*u, 4*b + 5*u - 17 = 0 for b. -2 Let y be 250/(-6) + 4/6. Let l = y - -58. Let h be 2/(-6)*(1 - 1). Solve o - 2 - 15 = 4*z, h = 4*o + z + l for o. -3 Suppose -5*o + 13 + 47 = 0. Let f be o + 2 + -3 + -1. Solve -s + 5*c = 4, -c - f = 5*s + 10 for s. -4 Let v(y) = -y**3 + y**2 + y - 2. Let z = -17 - -15. Let n be v(z). Let u = -2 - -6. Solve -n*p + 4*p + 2*i = 6, -u*p + 15 = 5*i for p. 0 Suppose 0 = n + 4, -q + 4*n + 35 = -0*n. Solve 3*z - 5*y = -q, z - 5*y - 5 = -28 for z. 2 Suppose 0 = b - 2*p + 5 - 3, b = 4*p - 6. Let h be (-1 - (b - 1)) + 7. Let z = 1 - -3. Solve 2*c = -4*m - c - h, -z*m - 2*c = 2 for m. 1 Suppose 4*w - 14 = -b - 2*b, 0 = 4*b - 2*w - 48. Suppose -5*i = -b*i. Solve i = 5*n - a - 4*a + 15, -2*n + a = 6 for n. -3 Let k be (-4)/(-26) - 6/39. Suppose -5*j + 5*g - 60 = k, 2*j + 10 + 10 = g. Let y be j/(-4)*(-6)/(-4). Solve 2*b - 22 = -5*c - 7, 2*b + y*c = 5 for b. -5 Suppose 0 = -2*g + 10, -3*g + 6*g = -5*u + 45. Let x be 62/u - (-4)/6. Suppose -4*p = -x - 9. Solve -p*a = -5, 2*d = -8*a + 3*a + 13 for d. 4 Let s = 2 - -7. Suppose 0 = d + s - 11. Solve 2*f - 8 = 2*t, -4*f = -d*f + 5*t - 15 for f. 5 Let l(z) = -z**3 + 5*z**2 - 5*z + 2. Let r be l(4). Let t = r + 2. Let h be 3*(6 + 25/(-5)). Solve 2*a - 10 = -5*w - 3*a, t = -5*w + h*a + 2 for w. 1 Let b(h) = -h**3 - 2*h**2 - 2*h - 3. Let x be b(-3). Solve 3*v = 2*u - x, -1 = -4*u - v - 5 for u. 0 Let l be -4 + 2 - (2 + -7). Solve i = 2*i - 5*f - 28, 0 = 5*i - l*f - 30 for i. 3 Let g = 23 - 14. Let i = 31 + -47. Let x = -16 - i. Solve 3*d + r + 6 = -g, x = 4*d - 5*r + 20 for d. -5 Let w = 5 - -1. Let i be (16/w)/(1/6). Suppose 3*j - 2*d = 58, -3*d - i = -2*j + 21. Solve 0 = 3*g + 4*q + 12, -4*g - j = g + 2*q for g. -4 Let a = 1 + -6. Let f = a - -7. Suppose 4*u - f*l - 6 = -4*l, -4*l = -3*u + 21. Solve -u*i + 0*i - 16 = j, -6 = i + j for i. -5 Let s = -2 - -14. Solve s = 2*a + 3*i, a - 3*i - 9 = -4*a for a. 3 Suppose 2*m - 18 = -5*q, 4*q = -q + 3*m - 2. Suppose -q*i = -4*i + 16. Solve -3*k = -3*f - 15, -k - 4*f - i = k for k. 2 Let y(v) = v + 18. Let f be y(-13). Solve -f*s = -3*z + 5, -4*s - z = 4*z - 33 for s. 2 Suppose -3*r + 6*r = 0. Suppose -4 = -b - r. Solve g - 3*j - j - 4 = 0, g - b = -4*j for g. 4 Let v = -128 + 131. Solve 4*y + v*s = -s + 28, 3*s = -5*y + 29 for y. 4 Let v = -7 + 8. Let d be (3 - 1) + 2 + v. Solve 0 = 5*x + f - 30, -x - d*f = -21 - 9 for x. 5 Suppose 5*g - 2*g = 48. Let t be -4*(3 + -2)*1. Let u = g + t. Solve -h = -5*b + 24, 6*h + u = 3*h for b. 4 Let c(g) = g**3 - 9*g**2 + 8*g - 2. Let o be c(8). Let u be 1 + 1 + (-2 - o). Solve -4 = 2*j - 2*v - 12, u*v - 2 = 0 for j. 5 Let h = 0 + 2. Solve -2*q - 8 = 2*f, -3*f - h*q = -6*f + 3 for f. -1 Suppose -5*v = -27 - 3. Solve 2*m - 10 = 0, -18 = -3*u - 3*m + v for u. 3 Suppose 4*q = -0*q, -5*l + q + 45 = 0. Let w be (-25)/(-3) + 6/l. Suppose 2*n + 14 = 2*p, 5*p = 2*p - n + 1. Solve 0 = 3*b - w, 0 = -p*t - b - b + 2 for t. -2 Suppose -k = n + 2, 3*n - 2*n + 5*k = -10. Suppose -22 = -3*h - 64. Let a = -10 - h. Solve 5 = -0*m - m, n = -x + a*m + 21 for x. 1 Suppose -a - 1 = 0, -13 = -4*i + a + 4*a. Solve -4*q - i - 2 = 0, w - q = 0 for w. -1 Let i(a) = -a. Let l be i(-4). Suppose 4*h + 14 = 2*o, -o - h + 8 = -l*h. Solve -o*z = -5*t + 15, 3*t + 2*z - 5 = 4*z for t. -1 Let m be ((0 + 1)/(-3))/((-3)/63). Solve -2*c - k = -m, k = -3*c - 4*k for c. 5 Let v be (4/10)/(6/30). Let f be v/(-4) + (-54)/(-12). Solve -4*y + 3*g + 0*g = f, -5*y - 5 = -3*g for y. -1 Let c = 12 + -5. Solve -2*i - n = -0*n + 6, -c = -i + 2*n for i. -1 Suppose 2*u - 2*r + 6*r - 4 = 0, 0 = -2*r. Suppose -u = -t + 3. Solve -29 = -3*z + t*h, -4*z + 25 = -z - 4*h for z. 3 Let n be -57*1*4/(-12). Solve 0 = 5*t - g - 13, 2*t - n = -3*t + 3*g for t. 2 Suppose 0 = -5*i - x + 28, 2*x + 2*x = -8. Solve -5*u - 2*b + 3*b - 6 = 0, -b - i = u for u. -2 Let v = 54 + -20. Solve 5*r - v = -3*f, -2*r + 0 + 4 = -2*f for f. 3 Suppose 2*p + 5*x = 25, -5*x + 36 = 11. Solve -3*j + 3*d + 2 - 5 = p, -5*j - d + 1 = 0 for j. 0 Suppose -5*s + 2*b + 19 = 0, 4*s = 6*s - 5*b - 16. Let r = -15 - -18. Solve 5*i = -3*h - 1, -r*i + 2 = 2*h + s for h. -2 Let v = -33 + 50. Solve 3*l = -2*c - 0*l + v, -4*c + 3*l = -7 for c. 4 Let v be 19/7 + (-4)/(-14). Suppose h - 18 = 4*f + 20, -5*f - 2*h - 41 = 0. Let w = -5 - f. Solve -4*a + 5*j = 1 + 30, 25 = -w*a + v*j for a. -4 Let w = -6 - -8. Let f be (-6)/(w + 7/(-2)). Solve 4*x = m - f, -4*m + 3*x - x - 12 = 0 for m. -4 Let n = 115 - 89. Solve 0*y - 5*y = 4*v + n, -5*y = 5*v + 30 for v. -4 Let f = -17 - -20. Suppose 4*c = -5*x + 2, -5*c - 7 = f. Solve 3*o - 11 + 2 = 3*j, -x*o = 2*j - 14 for o. 5 Let r(m) = -m**2 + 2*m - 2. Let p be r(4). Let t be (-2)/4 - p/4. Suppose t*g = -g + 12. Solve 16 = x - 3*b, x - b = g*b + 26 for x. 1 Let z = -58 - -60. Solve -z*c = -2*o - 2, 3*o - 1 - 1 = 2*c for c. 5 Suppose -8 = l - h - 4*h, 3*l + 3*h = 48. Let b = -10 + l. Solve 5*k - z + 14 = 39, b*z - 20 = -4*k for k. 5 Suppose -4*y + 7 + 1 = 0. Suppose k = y*k. Solve -5*p - 24 + 7 = -r, -4*p - 12 = k for r. 2 Suppose 0 = m - 5*m + 20. Suppose -5*v - 7 = j + 5, -5*j = m*v. Solve u + j*k - 5 = -7, k = 0 for u. -2 Suppose 3*j = -4*z + 12, 5*z - 4*j = -2*j - 8. Let h(v) = v**3 + 4*v**2 - 6*v + 1. Let t be h(-5). Solve z*d + t = 2*d - 2*l, -d - l = 1 for d. 1 Let x(f) = 2*f + 6. Let j be x(7). Let l = 0 - -3. Let k = -6 + 9. Solve -5*d = -q - j, -k*q - 2*d + l*d - 4 = 0 for q. 0 Let a(t) = -2*t**2 + 3*t**2 + 0*t**3 - 2*t**2 - 5*t**3. Let h be a(-1). Let w be (h/14)/(3/21). Solve -4*f + w*z = 0, 0 = -6*f + 2*f + z - 4 for f. -2 Let h be 10*4/140 - (-164)/14. Solve -2*p + 17 = -3*j, -3*p + h = -3*j - 6*p for j. -5 Let y(c) = -3*c**2 + 3*c**2 + 2 - c**2 + 12*c. Let a be y(12). Suppose -3*g + 3 = -a*g. Solve 10*b = 5*b + 15, -g = 4*x - 5*b for x. 3 Suppose -3*s = -2*s. Let x = 536 + -532. Let w = -10 + 23. Solve s = j - d, -3*d - 1 = x*j + w for j. -2 Suppose -b - 3*t = -3, 2 = -0*t + 2*t. Solve 3*a + b*a - 13 = -4*x, 0 = -3*a - x + 1 for a. -1 Let b(g) = -9*g**2 - g - 1. Let n be b(-1). Let f = n + 15. Solve -3*t = -3*l, l - f*l + 12 = -t for l. 3 Let n be 1*3*28/21. Solve k + n*t = -13, 4*t - 3 = -5*k + t for k. 3 Let g(u) = -u**3 - 4*u**2 + 3*u + 2. Let l be g(-5). Suppose -3*z - 12 = -v - 3*v, 3*v = -3*z - l. Solve 0 = -3*c - 2*r - 11, 5*c + v*r - r = -27 for c. -5 Suppose 7*t = 10*t. Let n = -9 - -3. Let j(z) = z**2 + 6*z + 5. Let k be j(n). Solve t = k*p - 3*g - 2*g, -3*p - g = -8 for p. 2 Let x = 21 - 19. Solve 4*v = 5*f + 3*v + 1, 0 = x*f + 3*v + 14 for f. -1 Let i be (-58)/(-5) + 2/5. Let s = 46 - 44. Solve -i = -s*m + 3*x, -2*m + 4*x + 13 = -3 for m. 0 Let y(l) = 1 + 2*l**2 - 3*l + 7*l**2 + 2*l. Let p be y(1). Solve -k - k + p = -v, 0 = -4*v - 20 for k. 2 Let h(r) = 3*r**2 - 6*r - 4. Let o be h(3). Solve 4*d - 2*w = -2, 3*d = 5*d - o*w + 5 for d. 0 Let k be (12 + -4)*4 + -2. Solve -3*g + 0*v = -2*v + 9, 5*v = -3*g - k for g. -5 Suppos
{ "pile_set_name": "DM Mathematics" }
1 Which is smaller: -2/211 or 27/49? -2/211 Is -1 at most -1/93485557? True Is 54 less than 99246/1837? True Is 2/136893035 less than 1? True Which is smaller: -3209191 or -3209193? -3209193 Which is smaller: -683 or -15154? -15154 Is -28668 greater than 283? False Is 3310127 greater than 3310228? False Are 0 and 108250210 unequal? True Which is smaller: -1 or -5/53626837? -1 Which is bigger: -539372 or -539359? -539359 Do -30323 and -9906 have different values? True Are 905664 and 905782 nonequal? True Which is greater: 1155 or 68115/59? 1155 Which is bigger: 1025175 or 1025186? 1025186 Is -463/53461 > 0? False Is -3982/6863 less than or equal to -1? False Is 0.2 at most 1247107? True Which is bigger: -0.3 or -31922100? -0.3 Which is smaller: 6219 or -1189? -1189 Is -1790143 at most 27? True Which is smaller: 1 or -1/107107177? -1/107107177 Is -3819685 >= -3819659? False Do 6128728 and 6128663 have different values? True Which is greater: -517/116 or -4? -4 Is 1209158 less than -1? False Are 3/4 and 72.990066 non-equal? True Which is smaller: 207993 or 209289? 207993 Is 2/9 equal to -0.3056738? False Which is smaller: 1 or 1143/52882? 1143/52882 Is 104370000 >= 104370000? True Are -935 and -89.3 unequal? True Which is greater: -29.1 or -12630? -29.1 Are 11198832 and 11198831 non-equal? True Which is smaller: 16032693 or 17? 17 Which is bigger: -2447401 or -51395425/21? -2447401 Which is bigger: 41 or -3/576617? 41 Is -941553460 smaller than -941553462? False Which is bigger: -0.41 or 0.1266749? 0.1266749 Is -538.8219 greater than 33? False Which is smaller: 0 or 4327/16821? 0 Which is bigger: 3976109/28 or 142005? 142005 Is -215/48486 > 0? False Does -126741 = -126673? False Which is bigger: -17729.47 or -63? -63 Is 8974/393339 >= -1? True Is -18389202/11 at most -1671746? False Are -349287 and -349280 equal? False Is 2358 <= 1896? False Which is smaller: -2391122 or -2391055? -2391122 Is -1428.6 > -119? False Is -302356 less than or equal to -302086? True Is 795964092 less than or equal to 795964094? True Is 5014 > 1583991/316? True Which is smaller: 0 or 771/6005? 0 Which is smaller: 2 or -8258120? -8258120 Are 9437277 and 66060936/7 unequal? True Which is smaller: 1 or -1/202240771? -1/202240771 Is -5301 > -5364? True Are 12556842 and 12556851 nonequal? True Is -77/473699 > 0? False Is 71874965 <= 359374819/5? False Which is bigger: 2 or 0.0098429? 2 Which is greater: 15494789 or -2/15? 15494789 Is 151 at most -854780? False Is 1 >= 451/613449? True Which is smaller: 21292505 or 85170015/4? 85170015/4 Which is smaller: 1010289 or 7/2? 7/2 Is -179860100 bigger than -179860099? False Is -135330/289 not equal to -469? True Is -8 not equal to -43868/5185? True Is -2377964 < -2377972? False Which is greater: -2402/28581 or -1? -2402/28581 Does 19/5768410 = 1? False Which is smaller: -72272 or -72118? -72272 Which is bigger: 30 or -1/2369435? 30 Which is greater: 8721003 or -1/7? 8721003 Are 0.6706306 and 9 non-equal? True Is 2390094 at most 2390092? False Is -41076 != -172? True Which is bigger: -28758 or -25632? -25632 Which is bigger: -6716892 or -6716924? -6716892 Is 5693359 less than 5693387? True Which is smaller: 158933 or -5/47? -5/47 Do 156948570 and 156948568 have the same value? False Which is greater: -281161703 or -281161704? -281161703 Does 0 = -4325/8022? False Is -25.67634 != -4? True Is -1 greater than or equal to -14/2636507? False Are -6637 and -6655 equal? False Which is bigger: 324/11 or -3.2898? 324/11 Are 1758791 and 1758721 unequal? True Which is smaller: 34858 or -17? -17 Which is smaller: 3444088 or 3444087? 3444087 Is -82953 <= -83164? False Which is bigger: -6/695 or -1616? -6/695 Which is greater: 2/224495893 or 0? 2/224495893 Which is bigger: -560/104459 or -1? -560/104459 Is 695610 != 695619? True Which is smaller: -3 or 2451/347? -3 Which is smaller: 10652850 or 10652849? 10652849 Which is bigger: -1 or -8846134? -1 Which is greater: -161408/29 or -5565? -5565 Which is smaller: -198978 or -0.093? -198978 Which is smaller: -1 or -3/24562067? -1 Which is smaller: 998441/152 or 6569? 998441/152 Is -14650279/4 at most -3662569? True Which is smaller: -5994 or -293770/49? -293770/49 Which is smaller: -125363 or -125359? -125363 Which is smaller: 0 or -43/1021770? -43/1021770 Is 1.5039 at least -2/847? True Which is greater: 11014/19097 or 1? 1 Which is smaller: -1006639/7 or -143807? -143807 Which is bigger: -164289 or -164284? -164284 Is -12565441/8 <= -1570679? True Do 2372030 and 16604208/7 have different values? True Is -3 less than or equal to -2/448211? True Is -2 at least -1.98936279? False Which is smaller: -113 or -1643182? -1643182 Is 7769123 <= 7769122? False Is -116558 less than or equal to -2913967/25? False Are 7789003 and -0.4 unequal? True Is 9/16 greater than or equal to 968446? False Which is smaller: -116081 or -116231? -116231 Which is bigger: 1626 or 1239? 1626 Which is smaller: -711/12269 or -1? -1 Do -1 and -6390/49283 have the same value? False Is -3 smaller than -78195623? False Is 0.8 <= 1616/1839? True Which is smaller: -466844011 or -466844009? -466844011 Which is bigger: -66021868 or -66021866? -66021866 Which is smaller: 17/29969825 or 1? 17/29969825 Which is bigger: 10697388 or 117671284/11? 117671284/11 Are 2684159 and 13420797/5 nonequal? True Which is smaller: -15421121 or -15421119? -15421121 Which is greater: 10528 or 326362/31? 10528 Which is greater: -2441 or 4/6797? 4/6797 Which is greater: 9.4 or -5263368? 9.4 Which is bigger: 8242 or 17128? 17128 Which is bigger: 687788 or 687768? 687788 Are 150146 and 150478 unequal? True Which is smaller: -0.3 or 153615094? -0.3 Is -9802350 bigger than -68616454/7? True Which is smaller: -1 or -106759600/3? -106759600/3 Which is bigger: -499806 or -499759? -499759 Which is bigger: 8307 or 8067? 8307 Which is smaller: -4342 or -22468? -22468 Which is greater: -68459341 or -68459342? -68459341 Which is bigger: 74568 or 73559? 74568 Which is greater: -259869 or -259882? -259869 Do 1 and -18984203 have the same value? False Do 18653 and -827 have the same value? False Is 51 smaller than -1113776? False Which is smaller: 1 or -1/5510465? -1/5510465 Which is bigger: 157 or 238190/1517? 238190/1517 Which is smaller: 2621264/53 or 49459? 2621264/53 Which is smaller: 44394/52993 or 0? 0 Do -561344 and -561381 have different values? True Is -1058168/49 > -21596? True Which is greater: -26732206/13 or -2056323? -2056323 Is -16689 greater than or equal to -2147? False Is 1 smaller than -1282/35683? False Which is smaller: 789443 or 789444? 789443 Is -485430 at most as big as -485431? False Is 9176043 less than 9176044? True Are -15050 and -17123 non-equal? True Which is bigger: 2183451 or 76? 2183451 Which is smaller: 2 or -1/270202433? -1/270202433 Is 14.72448 bigger than 15? False Is 4335 smaller than -21/46? False Is -431 <= -11328? False Is 432 < -1898933? False Which is bigger: -2111 or -2156215/1021? -2111 Which is greater: -3/49960259 or 0? 0 Which is greater: -1314 or -16.02? -16.02 Which is smaller: -147433/6 or -11? -147433/6 Which is smaller: -1 or -733/841711? -1 Is -79698680 > -79698681? True Is -26 smaller than 581880/161? True Which is smaller: -72231 or -72187? -72231 Which is smaller: -183640/1087 or -170? -170 Is -2572464 at least -2572426? False Which is smaller: -9026531 or -27079597/3? -27079597/3 Is 1953446 greater than or equal to 1953425? True Is -340020859/7 smaller than -48574409? False Is 0.088 at least -85698? True Which is smaller: -0.309967 or -2.7? -2.7 Which is smaller: 724603/5 or 144921? 724603/5 Is -195 < -43/17834? True Is -1073 != -168584/157? True Is 776805 smaller than 776805? False Which is smaller: 8 or 6141/907? 6141/907 Which is greater: 9356 or 8708? 9356 Which is greater: 6197531 or 6197525? 6197531 Is 1 > 247/543? True Is 1525/182 equal to 36.5? False Are -4295474 and -8590949/2 equal? False Which is bigger: -208197/23 or -9053? -208197/23 Is 1 != 1049/11018? True Which is bigger: 5682717 or 5682718? 5682718 Which is smaller: -16731 or -5792? -16731 Which is bigger: 2528 or 17047.8? 17047.8 Are -1 and -371/12252 unequal? True Which is greater: -2722/2131 or -1? -1 Which is smaller: -91564/109 or -840? -91
{ "pile_set_name": "DM Mathematics" }
, k, q Let q = 45/14 + -43/14. Put -1/18, q, 0.3 in decreasing order. 0.3, q, -1/18 Let q = -637.7 - -638. Sort 0.1, -3, q, -9. -9, -3, 0.1, q Let w be -7 - 64/(-8) - -6. Put -3.4, w, -1/3 in descending order. w, -1/3, -3.4 Let f = -107 + -43. Let k = 150 + f. Suppose -2*s - p = 3, -5*s - 4*p - 5 = -2. Put s, 3, k in descending order. 3, k, s Let j = -410 + 414. Put 8, -1/7, j in descending order. 8, j, -1/7 Let n be -3*(-5)/1*(-4)/(-10). Put -7, -5, -2, n in decreasing order. n, -2, -5, -7 Let y be 6/(-8)*(0 + 10/15). Put 1, 4, 82, y in increasing order. y, 1, 4, 82 Let t = 3 - 2.91. Let d = t - 0.29. Let u = -9 + 14. Put 0, d, u in decreasing order. u, 0, d Suppose -5*n = l - 22, 0 = -l - 0*n - 3*n + 14. Suppose 2*z = 6 + l. Let u be (96/(-392))/(4/14). Put -1, z, u in descending order. z, u, -1 Let z = 7 + -43. Let y = z - -36.4. Sort -5, 3, y. -5, y, 3 Let x = -0.0138 + -0.4862. Sort -1, -1/7, 0.1, x. -1, x, -1/7, 0.1 Let f(u) = u**2 + 10*u - 11. Let z be f(-7). Let r = z - -36. Sort -5, 11, r in decreasing order. 11, r, -5 Let j be 4*(-12 + 360/32). Put 1, 7, j, 21 in ascending order. j, 1, 7, 21 Let s = -13 - -18. Suppose v = -s*t - 17, t = -4*v - 2*t. Suppose -v = -4*z + 5. Sort -1, z, -4. -4, -1, z Let l = -3 + 6. Let y be 0/(-37) - 15/(-3). Put y, 2, l, -3 in descending order. y, l, 2, -3 Let q = 5 - 3. Let r = 3593 - 3590. Put -10/3, q, 1/2, r in ascending order. -10/3, 1/2, q, r Let c(l) = -l**3 - 24*l**2 + 47*l - 132. Let f be c(-26). Sort -4, -3, f, 8 in decreasing order. 8, f, -3, -4 Suppose -83 = -18*g + 97. Sort g, -33, 5 in decreasing order. g, 5, -33 Suppose 0 = -4*t + 4*m - 7 + 3, -26 = 5*t + 2*m. Sort t, -1.1, -2. t, -2, -1.1 Let b be (-2)/((48/(-40))/3). Put 2, 1, -2, b in descending order. b, 2, 1, -2 Let l = 0.2 + 0. Let u = 19.84 + -20.24. Sort l, 1/3, u, 5. u, l, 1/3, 5 Suppose 0*u + u = -1. Let d(j) = -9*j - 20. Let f be d(-3). Suppose 0 = -2*r, 5*r = -f*q + 2*q. Put u, q, 4 in decreasing order. 4, q, u Let w = 2151 + -2151.4. Put -31, 1, w, 2 in increasing order. -31, w, 1, 2 Let l = 108.66 - 107. Let z = l + -0.83. Let c = 0.13 - z. Sort c, 2/7, 0. c, 0, 2/7 Let z be (1 - 1/2)*-2. Let i = 6 + z. Suppose 4*d + 3*w = 0, -3*d - 40 = -i*w - 11. Put d, -1, -2 in decreasing order. -1, -2, d Let a be ((-2)/4)/(1/2). Let s(k) = 2*k + 54. Let x be s(14). Let w = x + -87. Sort -3, a, w. w, -3, a Let w = 2.05 + -2. Let u be 28*(-70)/(-200) + -9. Sort -1, w, u. -1, w, u Suppose -t - 5 + 2 = 0. Let x = -6 - -1. Sort 1, 0, x, t. x, t, 0, 1 Let p = -456 - -7760/17. Let h = p - -12/119. Sort h, 4, 1. h, 1, 4 Let g = -3.2 + 2.6. Let c = -1 - 1. Let m be c + (-1 + -1 - 0). Sort m, g, 2 in descending order. 2, g, m Let d be 21/(-2)*(-320)/24. Let r be 4/(d/44 + -3). Let i = -17 + r. Put 10, i, 1 in ascending order. 1, i, 10 Let r = 1302 + -1298. Sort r, -5, -6 in decreasing order. r, -5, -6 Let x(m) = -4*m**2 - 3*m + 2. Let n be x(-3). Let b = n + 22. Sort b, -1, 3, 1 in descending order. 3, 1, -1, b Let m = 6.795 - -0.105. Let q = -0.9 + m. Let k = -5 + 0. Put -0.1, q, k in descending order. q, -0.1, k Let x be (-2 - -3)/1*(8 + -5). Suppose x*i - 8*i = 2*h + 22, 2*i = 3*h - 5. Put 2, -1, i, 0 in decreasing order. 2, 0, -1, i Let f = 197/160 - -3/160. Let q = 0 - 1. Sort q, -5, f in increasing order. -5, q, f Let i = 0.7 - 0.1. Let m = 28 + -28.4. Let w = m + i. Put w, 0.3, 2/11 in decreasing order. 0.3, w, 2/11 Suppose -r = 6*p + 3*p + 40, -5*p = 3*r + 32. Sort -2, p, -7 in increasing order. -7, p, -2 Suppose -3*b = 5*a - 33, 5*a = 4*a + 5*b + 1. Suppose -l - 15 = -a*l. Sort 5, l, 2/9. 2/9, l, 5 Suppose 19 = -3*r + 7. Let m = 433 - 428. Sort r, 0, 3, m in increasing order. r, 0, 3, m Suppose -q + 4*q + 39 = 0. Let y(v) = -v**3 + 7*v**2 + 9*v - 5. Suppose 4*o - 9*o - 40 = -5*i, 0 = 2*o. Let s be y(i). Put s, q, -5 in ascending order. q, -5, s Let x = -760 - -765. Put 6/11, 9, x in ascending order. 6/11, x, 9 Let x = 583 + -578. Let z(c) = c**2 - 2*c + 2. Let u be z(2). Sort u, x, 7. u, x, 7 Let g = -25 + 23. Let n = 6 - g. Let t = 13 - n. Sort 1, t, -6 in descending order. t, 1, -6 Let k = 6 + 32. Let a be (216/(-28))/((-2)/(-14)). Let q = a + k. Sort q, -5, 2 in ascending order. q, -5, 2 Let s = 225.2 - 225.3. Sort s, -36/7, 2/3, 0.2 in ascending order. -36/7, s, 0.2, 2/3 Let z = -67/3 - -30. Put -1/6, 0.4, z in decreasing order. z, 0.4, -1/6 Suppose 36*b - 32*b = -20, 0 = 2*n - 3*b - 11. Let m be 54/10 + 2/(-5). Sort 3, n, m in descending order. m, 3, n Let a = 2594 + -2576. Sort a, -14, 4 in descending order. a, 4, -14 Let o = 34 + -56. Let p = 19 + o. Sort -2/9, 0.3, p, 0.1 in descending order. 0.3, 0.1, -2/9, p Let n = -0.05 - 0.25. Let u = 0.074 - 39.074. Let q = -38 - u. Sort n, 0, q. n, 0, q Suppose 2*c - 2 = -0, -2*j = -2*c - 4. Let t(l) = l**3 - 3*l**2 + 2*l - 4. Let m be t(3). Let y be 0/(1*m/2). Put y, j, 5 in decreasing order. 5, j, y Let q be ((-1)/(-2))/(11/220). Suppose 6*i + q = 100. Suppose -6*y + 11*y + i = 0. Put 2, y, -5 in descending order. 2, y, -5 Let o(t) = 2*t - 41. Let w be o(19). Sort -1, w, 10 in descending order. 10, -1, w Suppose -4 = -3*w + 5. Let j = -1 + 7. Let z be (5/25)/(j/20). Sort -0.6, w, z. -0.6, z, w Suppose 14 = 2*w + 4*t, -4*w + 8 = -t + 4*t. Let a = -7 - -8. Sort a, w, -5. -5, w, a Let o = 3 - 5. Let d = -84 + 91. Sort -4, o, d in decreasing order. d, o, -4 Suppose 3*w - 20 = 5*k, w = 4*w - k - 4. Suppose 5*t + 5 = -w*t. Put 7, t, 1 in descending order. 7, 1, t Let x be (-2)/(-4) + 93/(-6). Let g = 7 + -10. Put x, g, 3 in increasing order. x, g, 3 Let f = -102 + 54. Let x = f - -34. Let v be 16/(-14)*x/56. Sort -2/11, 0.3, v in decreasing order. 0.3, v, -2/11 Let x = 0.4 + 1.6. Let d = -0.6 - -0.3. Sort -0.1, d, 0, x. d, -0.1, 0, x Let w(g) = g**2 - 8*g - 5. Let a be w(8). Suppose -15 = -6*l + l. Let p(h) = -h + 4. Let k be p(7). Sort a, k, l. a, k, l Let g(s) = 4*s - 30. Let w be g(7). Let f be (w/(1*6))/(4/24). Suppose 2*u - 15 = -5*h + 3*u, 5*u = 5*h - 35. Sort 0, f, h in ascending order. f, 0, h Let m = 91.8 - 93. Put 5, 2/5, m in ascending order. m, 2/5, 5 Let w = 49 + 31. Let x = -80 + w. Sort x, 5, 31. x, 5, 31 Suppose 5*l - 9 = -2*v, 5*v + 4*l = 2*l - 9. Let b(k) = k**3 + 4*k**2 - k. Let d = 0 + -4. Let s be b(d). Put -2, s, v in ascending order. v, -2, s Suppose i - 19 + 21 = 0. Put 3, 1, i in decreasing order. 3, 1, i Suppose 0 = w - 32 + 29. Suppose h + 0 = -w. Put h, -4, 37 in increasing order. -4, h, 37 Let i = -0.084 - 1.776. Let b = i + -0.14. Sort b, 2/11, -16 in descending order. 2/11, b, -16 Let c = -16 - -15.9. Let t be (4 + 136/(-36))*6/(-2). Sort c, t, 1/5, 2/9. t, c, 1/5, 2/9 Let d be 16/1598 + 6/51. Sort -0.6, d, -5 in decreasing order. d, -0.6, -5 Suppose -21*z + 102 + 129 = 0. Put z, 2, -1, -5 in decreasing order. z, 2, -1, -5 Let z = 77 - 83. Let y be ((-3)/z + 0)/(6/(-24)). Let g = -3 - -2.6. Sort y, -5, g in ascending order. -5, y, g Suppose -4*p - 2*t = -7 - 11, p - 2 = -3*t. Suppose f + 5*r = 6 + 2, -5*f + p*r + 130 = 0. Suppose -f + 20 = -q. Sort -2, 0, q. -2, 0, q Let q(k) = 6*k**2 + 182*k + 62. Let f be q(-30). Sort -1, f, -10, 3. -10, -1, f, 3 Let b = -35 + 37. Suppose 0 = 4*l - l + 9. Let a(s) = -s**2 - 2*s. Let t be a(l). Sort 3, t, b. t, b, 3 Suppose -6*g = a + 17, -2*a + g = -g + 6. Sort 1, -105, a in increasing order. -105, a, 1 Let l = -115 - -122.9. Let y = l + -8. Put -2/9, -0.4, 4, y in decreasing order. 4, y, -2/9, -0.4 Suppose -26*k = -7*k - 76. Sort 85, -2, k. -2, k, 85 Let z(u) = -u**2 - 3. Let b be z(0). Let x(v) = 2*v**2 + 108*v - 114. Let p be x(-55). Let i = -21 - -11. Sort p, i, b in decreasing order. b, p, i Suppose -5*s - 8 = -23. Let h be (-3)/(3/(-6) + (2 - s)). Put h, 6, -2 in ascending order. -2, h, 6 Let u = 39 + -42. Put -2/9, -9, u in increasing order. -9, u, -2/9 Let q be (1794/(-15))/13*-15. Put 5, 3, q in increasing order. 3, 5, q Let x be 17/26 - (-1)/(-2). Let s = 30072 + -90214/3. Put s, 0, x, 4 in decreasing order. 4, s, x, 0 Let a = 127 + -124. Put -0.5, 7, -4/7, a in descending order. 7, a, -0.5, -4/7 Let a be 1/(2/(-4)*-1). Let s be 4 + (-81)/(-9) + -8. Sort a, -4, s. -4, a, s Let v = 0.338 + -0.138. Let p = -0.4 - 0.1. Sort p, v, -1/4. p, -1/4, v Let a = 885059/2286 + 579/254. Let f = 389 - a. Let h be (-1 - 78/(-9
{ "pile_set_name": "DM Mathematics" }
/(sqrt(90)/(sqrt(10) + 2*sqrt(30)/sqrt(3))). 39*sqrt(17) Simplify (4*3*sqrt(612) - (sqrt(612) + 2 + -3))**2*-4. -296212 - 528*sqrt(17) Simplify -4*5*((sqrt(171) + -3*(1*sqrt(171) + sqrt(171)))/sqrt(9) + 5)**2*-2. -2000*sqrt(19) + 20000 Simplify 2*3*sqrt(34)/(sqrt(2) + sqrt(10)/sqrt(5))*-4*-2. 24*sqrt(17) Simplify ((sqrt(390)*-3*-3)/sqrt(10))/((sqrt(147)*-1 - sqrt(147) - sqrt(147))*-1). 3*sqrt(13)/7 Simplify (sqrt(343)*-2)**2*-4 + (5*sqrt(7)*-2*-2)**2. -2688 Simplify ((-4 + 4 + sqrt(2299) + sqrt(2299) + (sqrt(2299) - ((sqrt(2299) - -4*sqrt(2299)) + -2)))*-4)**2. -1408*sqrt(19) + 147200 Simplify -5 + (sqrt(99)/(sqrt(27)/sqrt(3)*4))**2*-4 + -3. -43/4 Simplify (sqrt(325)*-1*-1)**2 - (sqrt(52)/sqrt(4) + 4 + -2). -sqrt(13) + 323 Simplify 2 + (((sqrt(72)/sqrt(2))/sqrt(2) - sqrt(18) - (sqrt(18) + sqrt(18) + sqrt(288)*-6))/(sqrt(27)/(sqrt(3) + sqrt(27)*6)))**2. 349450 Simplify (sqrt(10) - sqrt(40))/sqrt(2) + (2 + -1 + sqrt(5) + sqrt(5))**2 + sqrt(35)/(sqrt(77)/sqrt(44)). 5*sqrt(5) + 21 Simplify (sqrt(200)*2 - (sqrt(1152) + sqrt(1152)*1))/(sqrt(72)/sqrt(2) - sqrt(4) - 1*sqrt(484)). 14*sqrt(2)/9 Simplify -3 + -1*sqrt(468) - (-3 + sqrt(637) + -2). -13*sqrt(13) + 2 Simplify ((sqrt(187) + ((sqrt(187) + sqrt(187)*-1)*4 - sqrt(187) - sqrt(187)))*-4)/(-5*sqrt(33)/sqrt(3) - sqrt(99)*1)*1. -sqrt(17)/2 Simplify -5*-3*(3*((sqrt(99) - (sqrt(99)*2 - sqrt(99)))**2 + -4) + 4). -120 Simplify sqrt(65)/(-1*sqrt(720) - sqrt(720)) + 4 - ((-3*-2*sqrt(65))/(sqrt(10)/(sqrt(6)/sqrt(3))))**2. -464 - sqrt(13)/24 Simplify ((1*(sqrt(153) + 3*sqrt(153) + sqrt(153)))/sqrt(3))/(((sqrt(2304) - sqrt(36))*3)/sqrt(12)). 5*sqrt(17)/21 Simplify -2*(-5 + (-1*((sqrt(833) - sqrt(17)) + sqrt(17)))**2*2 + -4). -3314 Simplify (sqrt(13) + sqrt(13) + -4 + 2 + (-1*sqrt(117))/sqrt(9) + -1)*6. -18 + 6*sqrt(13) Simplify sqrt(10)/(sqrt(100)/sqrt(2)) - ((sqrt(45) + -1)*-4)**2. -736 + 481*sqrt(5)/5 Simplify (-5 + -1 + 5 + 0 + sqrt(363) + -2)**2. -66*sqrt(3) + 372 Simplify 2*(-2 + (-4 + -3*sqrt(245) - (1 + sqrt(245) + -4)))**2. 336*sqrt(5) + 7858 Simplify (-4*(sqrt(13) + -2) - sqrt(13)) + (1*sqrt(1053))**2 + 3 + -4. -5*sqrt(13) + 1060 Simplify 5*((3 + sqrt(468) + sqrt(468))**2 + (sqrt(26)/sqrt(2)*-5 - sqrt(13)) + 4) + 3. 330*sqrt(13) + 9428 Simplify ((sqrt(408) + sqrt(408)*5)/sqrt(12))/(sqrt(90)/sqrt(5)). 2*sqrt(17) Simplify -4*1*1*(sqrt(1872) - (sqrt(1872) + 2))*-2. -16 Simplify 1 + ((((sqrt(187) + sqrt(187)*1)*2)/sqrt(11))**2 - 4*(-1*sqrt(17)*-1)**2). 205 Simplify -1*sqrt(720) - (sqrt(5) + -5*(sqrt(5) + 2 + sqrt(5)) + sqrt(5)) - (sqrt(140)*4)/sqrt(7). -12*sqrt(5) + 10 Simplify ((sqrt(152) - ((sqrt(152)*1 - sqrt(152)) + sqrt(152)))*5 + sqrt(152)*-2*-5)/((sqrt(192)*3)/sqrt(6)). 5*sqrt(19)/3 Simplify sqrt(35)/(sqrt(30)/sqrt(6))*-6*-6*-2. -72*sqrt(7) Simplify ((sqrt(567) + 2*sqrt(567)*-6)*1 + 0)*-2. 198*sqrt(7) Simplify (sqrt(3) + (sqrt(3) - sqrt(27)) + -3 + sqrt(27)/(-2*sqrt(9)) + (sqrt(300) + 1)*-3)**2. 378*sqrt(3) + 12051/4 Simplify (sqrt(130) + 3*(sqrt(130) + (sqrt(130) - ((sqrt(130)*-2 - sqrt(130)) + sqrt(130) - sqrt(130)) - sqrt(130))) + sqrt(130))/(-1*sqrt(20)/sqrt(2))*3*-3. 126*sqrt(13) Simplify 3 + (5*(-6*sqrt(12)/sqrt(6) + sqrt(2) - (sqrt(72) + 0)))**2 + 2. 6055 Simplify (5 + -3*sqrt(19)*1)**2 + ((sqrt(19) + (sqrt(1900) - (sqrt(1900) + -2)))**2 - (sqrt(19) + (sqrt(19) + (-1*sqrt(2736) - sqrt(2736)))**2)). -9832 - 27*sqrt(19) Simplify (sqrt(228)/(sqrt(300)*1 + sqrt(300)) - sqrt(228)/(2*2*sqrt(12)))**2. 171/400 Simplify (0 + 4*sqrt(2057)*4 + -3 + sqrt(2057)*-2)**2. -924*sqrt(17) + 403181 Simplify (2*5*sqrt(75)*-1 + 1 + (sqrt(75) - (-1 + -1*sqrt(75))))**2*4. -640*sqrt(3) + 19216 Simplify (sqrt(68)/(sqrt(2) - sqrt(12)/(2*sqrt(6))))/(sqrt(2) - (sqrt(2) - ((sqrt(2) + -1*sqrt(2))*3 - sqrt(2))) - (sqrt(2) + (sqrt(66)/sqrt(3))/sqrt(11))). -2*sqrt(17)/3 Simplify 4 + -3*4*(sqrt(684) + sqrt(684) + ((sqrt(684) + -1 + sqrt(684))*1)**2). -32840 + 144*sqrt(19) Simplify (4 + -4 + (sqrt(75)*4)**2)*1. 1200 Simplify -2 + 1*sqrt(76)*2 + sqrt(76) + -5. -7 + 6*sqrt(19) Simplify (sqrt(11)*-2*-5)**2 + -2 + 1 + (sqrt(275)*-1 - sqrt(275)) + -5. -10*sqrt(11) + 1094 Simplify ((sqrt(70) + (sqrt(70) - (5*(3*sqrt(70) - sqrt(70) - sqrt(70)) - sqrt(70))))*-4)/(2*sqrt(1440)). sqrt(7)/3 Simplify (sqrt(448)*4 + sqrt(448))**2*-6 + (sqrt(7) + sqrt(84)/sqrt(3))**2 + 1. -67136 Simplify (5*(sqrt(65)/sqrt(5) + -5)*1 - (-1*2*sqrt(13) - sqrt(13) - (sqrt(637) + 1))*-3)**2. 1400*sqrt(13) + 8909 Simplify (1*sqrt(22)/sqrt(2) + sqrt(11) + 0 + sqrt(33)/sqrt(3))**2 - (5 + 2*sqrt(11)*-2). 4*sqrt(11) + 94 Simplify sqrt(44)/sqrt(4)*1 + 0 + sqrt(1331) + sqrt(132)/(-6*sqrt(24)/sqrt(2) - sqrt(12)). 83*sqrt(11)/7 Simplify sqrt(119)/(-2*(sqrt(35)/sqrt(5) + sqrt(7))) + (sqrt(1700)*-2 - sqrt(17))**2 + -4*sqrt(34)/sqrt(2). -17*sqrt(17)/4 + 7497 Simplify (sqrt(72)/(sqrt(28)/sqrt(7)))/(sqrt(9)*1*6). sqrt(2)/6 Simplify -3 + (5*sqrt(34)/((sqrt(126)/sqrt(7))/sqrt(9)))**2. 422 Simplify 3*sqrt(425) + (sqrt(17)*2 + -4)**2 - ((1*sqrt(136) + sqrt(136) - sqrt(136))/sqrt(8))**2*-3*-2. -18 - sqrt(17) Simplify (-3 + sqrt(2448))*5 - (sqrt(2448) + -2)*4. -7 + 12*sqrt(17) Simplify (6*(sqrt(121)*2 + sqrt(121)) - sqrt(121))/(3*(sqrt(88)/sqrt(8) + sqrt(11))). 17*sqrt(11)/6 Simplify (1 + -3*((sqrt(192) + 2)*3 + sqrt(192))*-4)**2. 56064*sqrt(3) + 447697 Simplify 0 + 4 + (sqrt(160)/sqrt(2) + -3)**2. -24*sqrt(5) + 93 Simplify (sqrt(3)*-2)**2 + 2 + (sqrt(12)/sqrt(4)*4)**2 + (sqrt(3) + -2 + 4 - (0 + sqrt(3) + (sqrt(3) - sqrt(3)*-2))). -3*sqrt(3) + 64 Simplify 4*((sqrt(210)/(sqrt(90)/sqrt(9)))/(sqrt(14)/(4*sqrt(2))))**2. 192 Simplify (3 + sqrt(24)/sqrt(8) + 2 - (-2*sqrt(150) - sqrt(6))/sqrt(2))**2. 120*sqrt(3) + 457 Simplify 1*((sqrt(1377) + (sqrt(1377) - -3*sqrt(1377)*-3) + sqrt(1377))*2)**2. 198288 Simplify (-3*(-4*sqrt(2299) + 1 + (2 + sqrt(2299))*-2 + sqrt(2299))*4)**2. 47520*sqrt(19) + 8277696 Simplify (-3*(-2*sqrt(3146) + sqrt(3146)))/((sqrt(648) + sqrt(18))*-4). -11*sqrt(13)/28 Simplify 0 + (-5*(sqrt(325))**2 + (sqrt(13) - sqrt(130)/(sqrt(10)*2)))*-2*2. -2*sqrt(13) + 6500 Simplify (-2*2*sqrt(156)*1)/(((sqrt(12) - 2*(sqrt(24)/sqrt(2) - sqrt(12))) + sqrt(12))*-6). sqrt(13)/3 Simplify (0 + 2*(sqrt(147) + -1))*-5 + -3. -70*sqrt(3) + 7 Simplify (sqrt(42)/(sqrt(7) + sqrt(112) + (sqrt(112)*3 - sqrt(112))))/((sqrt(162) - sqrt(162)*3)*-2). sqrt(3)/468 Simplify ((1*((sqrt(35) - (sqrt(140)/sqrt(4) - sqrt(35))) + sqrt(35)))/sqrt(5)*2*-4)**2. 1792 Simplify -2*(sqrt(48)/(sqrt(48) + sqrt(3)))/(sqrt(8) - sqrt(48)/(-1*sqrt(6))). -sqrt(2)/5 Simplify 1*((sqrt(162)*1 + -1)**2 - (sqrt(162) - (sqrt(162) + -4 + 4))**2). -18*sqrt(2) + 163 Simplify (sqrt(38)/(sqrt(2) - sqrt(96)/sqrt(12)))**2 - ((sqrt(1900)*2)**2 + 0). -7581 Simplify (((sqrt(2835) + (4*sqrt(2835) - sqrt(2835)) + sqrt(2835) - sqrt(2835)) + sqrt(2835))/(sqrt(15)/sqrt(3)*2))**2. 14175/4 Simplify (5*(sqrt(2448) - -1*(sqrt(2448) + 1)) - (2*sqrt(2448)*1 - (sqrt(2448) + 0)*-6))**2. 240*sqrt(17) + 9817 Simplify (sqrt(153)/(-2*sqrt(9)) + 1 + sqrt(17) + 2 - sqrt(85)/(-6*sqrt(25)/sqrt(5)))**2. 4*sqrt(17) + 149/9 Simplify (2 + (sqrt(19) + sqrt(19) + -1 + sqrt(19) - sqrt(19)) + 5 + 3 + -3)**2. 24*sqrt(19) + 112 Simplify (-3 + 3 + ((sqrt(117) + 1 + sqrt(117))*4 - -2*(-1 + sqrt(117))))**2. 120*sqrt(13) + 11704 Simplify -5*(1 + (-5*sqrt(120)/sqrt(5))/sqrt(8)). -5 + 25*sqrt(3) Simplify (-1*1*sqrt(3388))/(2*sqrt(100) - (sqrt(16)*-1 + sqrt(4) - sqrt(4))). -11*sqrt(7)/12 Simplify sqrt(140)/sqrt(5)*4 - 1*(sqrt(567) - (sqrt(567) + 1)). 1 + 8*sqrt(7) Simplify ((sqrt(7)*3 - sqrt(7)) + -2)*3 + (1*sqrt(252) - sqrt(252))*4. -6 + 6*sqrt(7) Simplify (-4*sqrt(88)*2 - 2*sqrt(88)*-1)/(sqrt(8) - sqrt(96)/(sqrt(36)/sqrt(3)) - (sqrt(392) + 1*sqrt(392))) + -2. -2 + 3*sqrt(11)/7 Simplify (6*((0 + sqrt(800))*-4 - (sqrt(800) + 3 + (sqrt(800) + 1 - sqrt(800)) + sqrt(800) - sqrt(800))))**2. 28800*sqrt(2) + 720576 Simplify ((sqrt(475)*3 + sqrt(475))**2 + 2)*2 + 1 + 1. 15206 Simplify (1*-1*(0 + sqrt(208) + -3 + sqrt(208) + ((sqrt(208) + -1)*1 - sqrt(208)))*3)**2. -576*sqrt(13) + 7632 Simplify (1*(4*sqrt(119) + sqrt(119) + sqrt(119)) + sqrt(119))/(sqrt(847)*-4). -7*sqrt(17)/44 Simplify (sqrt(896)*-1*3)/(sqrt(63)/(sqrt(108)/(sqrt(36)/sqrt(3)))). -24*sqrt(2) Simplify 4 + ((5 + sqrt(44))**2 - sqrt(44)) + sqrt(1100) + 5. 78 + 28*sqrt(11) Simplify (1 + 6*1*sqrt(112) + -1*(sqrt(112
{ "pile_set_name": "DM Mathematics" }
What is the difference between 61410.43 and -9.183118? 61419.613118 Subtract -3.0176 from -27.344. -24.3264 -23587961 + -82267 -23670228 What is the difference between -51221.29 and -3157? 48064.29 Work out -6858 + -2123802073. -2123808931 Add together 881886028 and -48784. 881837244 Work out -87 - -1.136076846652. -85.863923153348 What is 10712965548 take away -0.08? 10712965548.08 2005786823 - -339 2005787162 What is -40.2770124 plus 1.165? -39.1120124 What is 13 minus 4992058591790? -4992058591777 -53 - -373080817.5187 373080764.5187 What is 678007410.9 less than 0.857? -678007410.043 What is -0.02 take away 800273689.75903? -800273689.77903 What is 85516 + -1.159273? 85514.840727 What is the difference between -6.870918746 and 0.05776? 6.928678746 Sum -16948.28519 and 2895. -14053.28519 45699220674+0.1 45699220674.1 What is the difference between -1883263439709 and -0.56? 1883263439708.44 What is -2.4882 take away 656.1972? -658.6854 What is the difference between -1053735.8 and 75.8? 1053811.6 What is -4.455536424 - -0.4? -4.055536424 What is -742.0849 plus -27.714681? -769.799581 Work out -245342489142866 - 1. -245342489142867 Add -0.4 and 9158.30815417. 9157.90815417 Sum 2620.4043709 and 15. 2635.4043709 What is the distance between -668265619428 and 394? 668265619822 What is 3788223 minus 0.00206095? 3788222.99793905 Work out -748673681 + -31. -748673712 What is 31077261571 less than 0.02? -31077261570.98 Subtract 101099641649.594 from 4. -101099641645.594 Work out -19 - 647301053034. -647301053053 What is the distance between 439081 and 126139511? 125700430 Calculate 14.4484235884 - 0.069. 14.3794235884 Sum 72816 and -0.88714512. 72815.11285488 Add 1513.172774 and -0.5. 1512.672774 Subtract -14056865 from -49.7557. 14056815.2443 Calculate -24.77 - -0.116017871674. -24.653982128326 What is the distance between -0.020977920028 and 252? 252.020977920028 Add together 3.933248405 and -1.2. 2.733248405 What is the distance between -12080903717558 and 11? 12080903717569 What is -56.2 take away 68.9891059? -125.1891059 Add -0.5 and -0.33299299436. -0.83299299436 Work out -65410076102 + -444. -65410076546 Sum 0.95 and 46081651552. 46081651552.95 Calculate -2616732.282 - 0.7. -2616732.982 What is 0.03 + -30351022983551? -30351022983550.97 Work out -117310 - 32817.98. -150127.98 What is 18356027.1 - -0.0708? 18356027.1708 Put together 21.636504613 and -1.35. 20.286504613 What is -0.202 - -1842075150? 1842075149.798 Subtract 170103269889 from -1. -170103269890 -366528773+-29.13105 -366528802.13105 1.993513899 - 54 -52.006486101 -431793080958 - 0.5 -431793080958.5 What is -583 plus -286647850.2? -286648433.2 Add 1106792.5 and 163473. 1270265.5 What is 1262353283 + -2867? 1262350416 What is 186.6 take away 1278501.319? -1278314.719 Calculate 4576.4038092 + -6. 4570.4038092 Calculate -281259371011 + -1.21. -281259371012.21 What is the distance between 112 and -2064345704? 2064345816 What is -12.8334745569 + 227? 214.1665254431 Calculate -0.1 - 188547324341. -188547324341.1 -78868173887674 + -0.1 -78868173887674.1 What is 0.1 minus 46912381950186? -46912381950185.9 Sum 0.05 and -30595869116. -30595869115.95 What is 24652759 minus -1587? 24654346 Put together -4871.060168 and -26.1. -4897.160168 What is -33.8472765385 minus -334? 300.1527234615 89995277 - 10.735 89995266.265 Add 1124.7 and -66.9687. 1057.7313 What is the difference between -4592 and 19422.94353? 24014.94353 What is -110210454970 minus 2542? -110210457512 Work out -53974 - -16295.1764. -37678.8236 Calculate -5 + -183363064429. -183363064434 Add 7.6 and 4529257.8. 4529265.4 31.15+75429917 75429948.15 Add together -0.0208321378 and 5.3161. 5.2952678622 What is the difference between -6539043568 and -0.082454? 6539043567.917546 385266+24619381 25004647 0.844315790374 + 0 0.844315790374 Total of 773.1713491 and 0.89. 774.0613491 Sum -19499700 and 58202. -19441498 Work out 11 + -114206495934. -114206495923 What is 12.224674467 + -1.5? 10.724674467 Total of -611 and 76178.695815. 75567.695815 What is -63 minus -163671083879? 163671083816 What is 10702.6 + 0.028162279? 10702.628162279 What is 37.9 less than 10709996? 10709958.1 What is 25427735 plus -4394.4? 25423340.6 Put together -0.1 and 91997928340. 91997928339.9 Work out -19393401310762 + 2. -19393401310760 What is 2138424929123 take away -0.5? 2138424929123.5 What is 0.2012180792 - -4? 4.2012180792 Add together 2 and -712.671043875. -710.671043875 What is the distance between -273798608969 and -0.04? 273798608968.96 3589067.5 + -550917 3038150.5 What is -42701604 minus 220401? -42922005 What is -179.817658 take away -486? 306.182342 Work out -1511593705 - 616. -1511594321 What is -34 + 36734714665? 36734714631 What is -0.4 + 1335633594804.9? 1335633594804.5 Work out -69166.18575 + -19182. -88348.18575 What is -459966.3946 less than 2.4? 459968.7946 What is 99 - 38118501843? -38118501744 Work out 20.10031 + -54964903. -54964882.89969 Calculate 4.3 + -26227438299. -26227438294.7 What is 5895840.5 take away 9.04? 5895831.46 Put together -8689565741 and 142. -8689565599 What is -105 plus -144976175057? -144976175162 What is -5 + -165660.08666? -165665.08666 What is 0.10141 - -136611761? 136611761.10141 -366908628564+-0.2 -366908628564.2 1136.4578987+-8 1128.4578987 What is 0.4 less than 70682.75334? 70682.35334 -47741 - 6220372049 -6220419790 Add together 140695042.6399 and 2.7. 140695045.3399 What is 284023590.7 plus -29? 284023561.7 Work out -1500266285628 - 0.17. -1500266285628.17 2024187+-350273 1673914 Total of 0.4 and 45967295401. 45967295401.4 -6.4972 + -3636616 -3636622.4972 What is -0.1 less than -1872920372.9021? -1872920372.8021 0.1 - -11481584606 11481584606.1 Work out -0.3 + 90487057985633. 90487057985632.7 What is the difference between -17072409.022 and -5? 17072404.022 What is -0.216 plus -3553379760967? -3553379760967.216 What is -15.37415 minus 229910? -229925.37415 Add together 17244.1870699 and -4. 17240.1870699 What is -65761818225 plus 0.02? -65761818224.98 Sum -0.17923459 and 363.926. 363.74676541 Work out -57422975 - -0.1718. -57422974.8282 Put together -948880.89 and -0.14655. -948881.03655 Total of -763812 and 35735. -728077 Subtract -586 from -33658713982. -33658713396 Calculate 10841275 - -923.935. 10842198.935 -5+-21072570566016 -21072570566021 Add 15600170 and -144848.6. 15455321.4 Total of -0.26 and -34155311284. -34155311284.26 Calculate 25673 - 1108346832. -1108321159 What is 17519690676 plus -0.567? 17519690675.433 Sum -2993595.6 and -0.05118. -2993595.65118 What is -43.284514784 minus 0.3? -43.584514784 10454219+-9905547 548672 Calculate -686003293794 + -12. -686003293806 Calculate -0.8763 - 334310.7. -334311.5763 Calculate -159849238.89647 - -0.1. -159849238.79647 What is -0.635 take away 4646428115? -4646428115.635 Add together 871309842 and -1.617. 871309840.383 What is -25350974761 take away 3? -25350974764 -583789616378478+-3 -583789616378481 Add -63856123551 and -3563. -63856127114 What is the distance between -0.10342364 and 2709539? 2709539.10342364 -0.907641 - -56705.7 56704.792359 Subtract 379807108 from 0.0135871. -379807107.9864129 What is 17 minus -4556082253519? 4556082253536 -394754350 + 0.221 -394754349.779 Add together 3 and 282270.61007. 282273.61007 What is the difference between -198 and 3744410700? 3744410898 What is the distance between -1.1 and 19.558175739? 20.658175739 Sum -8.572497716 and -9059. -9067.572497716 Calculate -5 + -41254226.048. -41254231.048 What is the distance between 175946824580 and 1699? 175946822881 Sum -63474.9915371432 and 0.4. -63474.5915371432 Total of 1256118566092 and 0.9. 1256118566092.9 What is the distance between 6796726441760 and 0.4? 6796726441759.6 What is -1804709913.2 plus -2813? -1804712726.2 What is 423687.274 less than -1.23? -423688.504 What is 0 take away 0.283562782041002? -0.283562782041002 Add together 1.45577 and 201560.1. 201561.55577 What is -98905293 minus -70.82? -98905222.18 What is -150660036077 take away -0.41? -150660036076.59 Calculate 633833859 - 69369. 633764490 Total of -7169.728986 and -2013.3. -9183.028986 Work out -878684401.8791 + 0.16. -878684401.7191 Work out -4008618734 - 41.8. -4008618775.8 274002541439 + 0.01 27
{ "pile_set_name": "DM Mathematics" }
y + 486. Determine z(480). 6 Let t(q) = 2*q**3 - 46*q**2 - 119*q + 1425. Determine t(24). -279 Let h(g) = -3*g**3 - 38*g**2 - 14*g + 107. Give h(-2). 7 Let r(p) = -206*p + 206. Calculate r(4). -618 Let r(u) = 13433*u - 53760. Determine r(4). -28 Let j(i) = -71183*i - 4. Calculate j(0). -4 Let q(y) = -7114*y**2 + 35573*y - 9. Calculate q(5). 6 Let o(m) = -4*m**2 + 3980*m - 63444. Determine o(16). -788 Let l(d) = -1582*d - 145558. Give l(-92). -14 Let r(n) = -36*n**3 - 469*n**2 - 5*n + 98. Determine r(-13). -6 Let a(m) = 2594*m - 39028. Give a(15). -118 Let f(d) = -d**3 - 8*d**2 - 81*d - 95. Determine f(-14). 2215 Let d(s) = -9*s**2 - 849*s - 17984. What is d(-32)? -32 Let x(q) = q**2 + 132*q + 3933. Determine x(-44). 61 Let q(j) = -16265*j + 81320. What is q(5)? -5 Let m(z) = -13*z**3 + 27406*z**2 - 4215*z - 2110. Give m(2108). -2 Let j(f) = 12*f**2 + 2133*f - 37204. What is j(16)? -4 Let y(k) = k**3 + 74*k**2 + 1382*k + 44. What is y(-31)? -1475 Let z(a) = -37*a + 2879. Calculate z(86). -303 Let m(o) = 3327*o + 309510. Calculate m(-93). 99 Let b(f) = 2*f**3 + 60*f**2 + 31*f + 204. Determine b(-30). -726 Let c(d) = -60*d**2 + 76*d - 294. Calculate c(6). -1998 Let j(r) = -r**3 + 58*r**2 - 881*r + 3157. Give j(17). 29 Let r(i) = -449*i - 84763. Give r(-191). 996 Let r(x) = -110*x**2 + 141*x - 39. Determine r(1). -8 Let b(k) = -k**2 - 500*k - 13769. Give b(-29). -110 Let d(b) = b**2 - 4463*b - 4895733. What is d(-911)? -19 Let f(i) = i**3 + 131*i**2 - 350*i - 11036. Give f(-133). 136 Let d(i) = -10720*i + 193067. Give d(18). 107 Let z(s) = -4151*s + 103769. Determine z(25). -6 Let x(a) = 8*a**2 + 405*a - 1739. Give x(-53). -732 Let y(q) = q**3 + 58*q**2 - 1952*q + 1319. What is y(-82)? 7 Let u(c) = c**3 - 6*c**2 - 4404*c + 3924. Give u(69). -9 Let o(c) = c**3 + 45*c**2 - 682*c - 74. What is o(11)? -800 Let k(c) = -7*c**3 + 203*c**2 - 697*c - 43. What is k(25)? 32 Let r(i) = -15*i**2 + 12011*i - 47788. Determine r(4). 16 Let c(b) = -b**2 - 30773*b - 184579. Determine c(-6). 23 Let k(h) = -365*h - 861. What is k(-8)? 2059 Let l(v) = -v**2 - 395*v - 35459. Give l(-255). 241 Let s(z) = -18*z**3 + 26*z**2 + 43*z - 104. What is s(3)? -227 Let d(l) = -10172*l**2 + 732388*l - 302. Give d(72). -14 Let j(w) = 6662*w + 173255. Calculate j(-26). 43 Let p(d) = -1028134*d - 14393862. Calculate p(-14). 14 Let a(z) = 160*z**2 - 11334*z - 1842. Determine a(71). 4 Let t(g) = 1456003*g - 32032069. Determine t(22). -3 Let o(w) = -w**3 - 19*w**2 + 9207*w + 166028. Determine o(-18). -22 Let j(l) = -30*l**2 - 106*l - 12. Give j(-2). 80 Let i(b) = -2*b**3 + 19*b**2 + 248*b - 2355. Give i(11). 10 Let l(v) = -333*v - 50955. Determine l(-152). -339 Let h(r) = -5*r**2 - 77*r - 81. What is h(-15)? -51 Let w(z) = 717*z - 5037. Determine w(7). -18 Let c(i) = -468*i - 5481. What is c(-8)? -1737 Let b(f) = 12417*f + 24806. Calculate b(-2). -28 Let x(j) = -48*j**3 - 712*j**2 + 123*j + 50. Give x(-15). 5 Let j(z) = -z**2 + 212*z + 34475. Calculate j(321). -514 Let b(d) = d**3 - 5*d**2 + 31*d - 201. What is b(8)? 239 Let z(y) = 11*y**2 + 617*y + 3277. Give z(-50). -73 Let o(m) = 2*m**3 + 44*m**2 - 547*m - 11525. Determine o(-23). -2 Let h(i) = i**3 - 21*i**2 + 53273*i - 904493. What is h(17)? -8 Let u(p) = 154*p**2 - 139*p + 237. Determine u(-5). 4782 Let j(f) = -13508*f + 1296761. What is j(96)? -7 Let o(u) = 10461*u + 115082. Calculate o(-11). 11 Let r(k) = -k**3 - 1521*k**2 - 19540*k + 96518. Calculate r(-1508). 6 Let j(n) = 8*n**2 - 139*n - 491. What is j(21)? 118 Let v(z) = -2*z**2 - 3048*z + 27541. Determine v(9). -53 Let m(l) = -5*l**2 + 490*l - 9904. Give m(29). 101 Let f(w) = -2*w**2 + 507*w + 23695. Give f(294). -119 Let g(s) = -7*s**2 + 87*s + 31327. Calculate g(-61). -27 Let v(i) = i**3 - 10*i**2 - 8*i - 353. Calculate v(10). -433 Let k(r) = 101332*r + 405297. Determine k(-4). -31 Let k(h) = -2446*h - 68479. What is k(-28)? 9 Let m(p) = -p**2 - 107158*p + 857334. Calculate m(8). 6 Let u(a) = -a**3 - 240*a**2 - 2375*a + 189. Determine u(-10). 939 Let p(j) = 13*j**2 - 1471*j + 14853. Determine p(102). 63 Let i(l) = -453*l**2 + 55*l + 52. Determine i(-1). -456 Let i(v) = 5*v**3 + 60*v**2 + 52*v + 7. What is i(-11)? 40 Let y(h) = h**3 + 59*h**2 - 84*h - 2270. What is y(-60)? -830 Let z(q) = -q**2 + 13206*q - 749564. Give z(57). -71 Let h(f) = -26247*f**2 - 367457*f + 10. What is h(-14)? -4 Let y(f) = 2*f**2 + 59*f + 674. What is y(-13)? 245 Let a(d) = -313*d + 12710. Calculate a(39). 503 Let y(n) = -7*n**3 + 17*n**2 - 405*n + 2314. What is y(6)? -1016 Let x(l) = -3*l**3 + 61*l**2 + 77*l - 2066. Give x(20). -126 Let u(d) = -9*d**2 - 780*d - 11582. Give u(-68). -158 Let r(y) = -22*y**2 + 316*y - 935. Give r(3). -185 Let s(y) = 37*y**2 + 2*y + 77. Give s(-10). 3757 Let i(h) = 2*h**3 + 204*h**2 + 2798*h + 11. Determine i(-16). -725 Let w(p) = -86*p - 10994. Determine w(-126). -158 Let u(h) = -53*h**2 + 26102*h - 38790. Calculate u(491). -1 Let n(j) = -912*j - 7064. Determine n(-8). 232 Let o(c) = -13*c**3 + 165*c**2 - 359*c - 20. What is o(3)? 37 Let k(a) = 19*a**2 + 1399*a + 520. Calculate k(-73). -356 Let g(c) = 9456*c + 320844. What is g(-34)? -660 Let a(h) = -3*h**2 - 1354*h + 26808. What is a(19)? -1 Let t(i) = i**2 - 38*i - 1185. Give t(58). -25 Let i(m) = 2*m**2 + 1005*m + 36728. Calculate i(-40). -272 Let r(n) = 8*n**2 + 2177*n + 6524. Calculate r(-3). 65 Let o(c) = -231019*c - 4158341. What is o(-18)? 1 Let t(v) = -2*v**3 + 2012*v**2 - 1941*v - 69334. Calculate t(1005). 11 Let v(m) = -3*m**3 - 4*m**2 - 222*m - 1117. What is v(-5)? 268 Let y(s) = -4*s**2 - 926*s + 65092. Calculate y(-288). 4 Let y(m) = -5814*m + 17458. Give y(3). 16 Let q(g) = g**2 + 1138*g + 17729. Give q(-16). -223 Let f(b) = -2*b**2 - 1055*b - 91813. Determine f(-110). 37 Let v(m) = -m**2 - 2572*m + 281095. What is v(105)? 10 Let o(m) = -3*m**3 - 21*m**2 + 127*m + 53. Determine o(-10). -317 Let k(z) = 1140*z + 172026. Give k(-151). -114 Let t(f) = -f**3 + 43*f**2 + 185*f - 11. Calculate t(-4). 1 Let q(x) = 118*x**3 + 7*x**2 - 127*x + 121. Give q(1). 119 Let w(s) = s**3 + 5*s**2 + 1371*s + 11075. What is w(-8)? -85 Let j(n) = -597*n**2 - 501*n - 15. Calculate j(-2). -1401 Let l(m) = 1271*m - 30680. Give l(26). 2366 Let y(c) = -2*c**3 - 284*c**2 + 384*c + 14042. Determine y(-143). 28 Let f(s) = 5743*s**2 + 591529*s + 26. Give f(-103). 26 Let v(l) = 620*l + 15585. Give v(-26). -535 Let d(x) = -399*x**2 + 23*x. Determine d(1). -376 Let m(i) = -11*i**3 - 72*i**2 + 85*i + 364. Calculate m(-7). 14 Let v(s) = -s**2 + 83*s + 12516. What is v(-77)? 196 Let y(i) = i**3 + 73*i**2 + 7*i - 55. Calculate y(0). -55 Let l(k) = 29749*k - 356862. What is l(12)? 126 Let y(h) = 257*h**3 + h**2 + 135*h + 133. Calculate y(-1). -258 Let y(g) = 6*g**2 + 279*g + 2897. What is y(-17)? -112 Let k(w) = -w**2 + 24*w + 200. What is k(30)? 20 Let c(i) = 11*i**3 - 120*i**2 - 18*i + 8. Determine c(11). -69 Let v(l) = 2*l**3 + 300*l**2 + 296*l - 191. What is v(-149)? 107 Let m(v) = -13*v**3 - 23*v**2 + 34*v + 222. Give m(-4). 550 Let n(x) = 4332*x + 17937. Determine n(-4). 609 Let x(r) = r**3 + 76*r**2 - 531*r + 187. Determine x(-83). -3963 Let o(v) = -317*v**3 - 3169*v**2 - 32*v - 410. What is o(-10)? 10 Let z(c) = -c**3 - 222*c**2 + 521*c + 16372. What is z(-224)? 20 Let c(v) = -198*v - 10318. Calculate c(-59). 1364 Let l(n) = -825*n**2 - 182345*n - 4416. Give l(-221). 4 Let y(s) = -9*s**2 - 54*s + 845. What is y(12)? -1099 Let t(i) = 3*i**2 - 65*i + 281. Determine t(5). 31 Let q(o) = 6*o**3 + 2458*o**2 - 868*o - 19562. Give q(-410). 118 Let w(x) = 4*x**3 - 1173*x**2 - 888*x + 1773. What is w(294)? 9 Let k(l) = -41*l**2 - 322*l - 222. What is k(-5)? 363 Let r(t) = -4122*t + 78659. What is r(19)? 341 Let c(z) = -4*z**3 - 373*z**2 - 42*z + 4726. Give c(-93). -17 Let t(u) = -154*u + 7870. What is t(52)? -138 Let l(k) = -3886*k + 31922. Calculate l(8). 834 Let l(w) = w**3 - w**2 - 2387*w + 4763. Determine l(2). -7 Let h(v) = -5*v**3 - 309*v**2 + 72*v + 212. What is h(-62)? -408 Let k(j) = -774*j - 4677. Determine k(-6). -33 Let c(r) = 221950*r + 1775605. Give c(-8). 5 Let i(p) = 4770*p - 195577. Give i(41). -7 Let j(b) = b**3 - 400*b**2 - 3320*b + 22604. Calculate j(408). -244 Let c(d) = d**2 - 750*d + 81577. Determine c(132). 1 Let
{ "pile_set_name": "DM Mathematics" }
se -3*z = 17*z - 3*z. Suppose 0 = 2*h - z*h, h = -4*r. Solve r = 2*v - 2*y, v - 4*y = -v - 2 for v. 1 Let v be 0 - 0 - (1 - 11). Suppose 4*l - 1074 = -1122. Let n be 25/(-10)*1*l/v. Solve n = 3*z - 3*p, z + 2*z = -4*p + 24 for z. 4 Suppose -l + 31 = 160*t - 164*t, 4*l + 4*t = -16. Solve -13*d + 6 = -10*d, 0 = l*u - 5*d + 7 for u. 1 Let y be ((-4)/(-4))/1 - (-6 + 8)*-2. Solve 5*m = -3*b - 7, -19 + 9 = y*m for b. 1 Let i(w) = 13*w**2 + 12*w + 12. Let d be i(-1). Suppose -5*r - d = -2*s + 5*s, 2*s + r = 3. Solve 4*k = -p + s*p + 4, -5*k + 8 = -3*p for k. 4 Let a = -68 - -68. Suppose a*r = -l + r, 2 = r. Let u be (6/15)/l - (-58)/10. Solve -c = -m + 6, -7*m = -2*m + 3*c - u for m. 3 Suppose 2*n = 3*n - 26. Suppose 0 = 2*r - 4*a, -35*a - 4 = -39*a. Solve 4*u + l = -l + 4, -r*u + 5*l + n = 0 for u. 3 Let u = -6213 + 6215. Solve f = -u*h + 4, -5*f + 5*h - 10 = -0*f for f. 0 Let i be 59*(-3)/6*(-2 - 0). Let n = 62 - i. Let y be n - (-16 - -1)/(-5). Solve 0 = -2*k + 10, 5*h - 2*k = -y - 10 for h. 0 Let n be (1/(-4))/(67/(-1340)) + -1. Solve -n*t - 4*w = 24, t = 6*t - 2*w - 5 for t. -1 Suppose 94 + 20 + 28 = 2*g + 4*t, 0 = t. Solve -8 = 3*x - r, 75*r - 10 = x + g*r for x. -2 Let f(t) be the third derivative of -2*t**5/15 - 47*t**4/24 + 4*t**3/3 + t**2 - 39*t. Let h be f(-6). Solve 4*p + h = -3*n - 20, -14 = 3*p + n for p. -4 Let k = 0 - -4. Let a = 4470 + -4469. Solve -p - a = -4*u + 4, -5*p = -k*u + 25 for u. 0 Suppose -631 - 454 = -35*x. Let z be 28 - x - 4*-2. Solve 5*g + 3*a = -2*a + 5, 0 = -3*g + z*a - 29 for g. -3 Let y(u) = -409*u - 1224. Let o be y(-3). Solve -o*k = 9, -4*a + 5*k - 4*k + 3 = 0 for a. 0 Let a = -85 - -81. Let p be (4 - -8)/((18/a)/(-3)). Solve p = 4*d + 4*o, -10 = -2*d - 3*d + o for d. 2 Let m = -20830 + 20835. Solve 117*d - 112*d - 31 = -2*a, m*a - 3*d = 0 for a. 3 Let b(d) = d**3 - 10*d - 4*d - 1 - 5*d**2 + 15*d. Suppose -5*p = -p - 20. Let n be b(p). Solve -n*l + 20 = -4*k, 3*k = -3*l - 2*l + 1 for k. -3 Let j(s) = -5*s - 30. Let w be j(-10). Suppose -6*i + w = -2*i. Solve -4*m + 1 = -5*m, -23 = -i*c + 3*m for c. 4 Let v(z) = 4*z**2 + 39*z + 5. Let l be v(-10). Let g be l/(-12) - (-187)/44. Solve 0 = g*y - 3*m - 21, -2*y = -y - 2*m - 11 for y. 3 Suppose 68*h - 62 + 62 = 0. Solve 2*a - o = 0, -2*a + h*a + 3*o = -8 for a. -2 Let x be (-2)/(-17) - (300/(-51) - -2). Suppose 2 = -x*k + 18. Let w be 152/48 - (-1)/(-6). Solve 0 = w*y + 2*m - 0*m - 8, k*y = -4*m + 16 for y. 0 Let f be (0 + 3/(-10))/(154/(-1540)). Let v = -10 - -36. Suppose g - 1 = 0, 5*q + 4*g - 3*g - v = 0. Solve -2*n = 5*o - 3, -3 + 1 = -q*o - f*n for o. 1 Let c = 5430 + -5416. Solve 2*o + 20*l = 19*l + 6, 5*o = -2*l + c for o. 2 Suppose 190*p - 194*p = 1060. Let z = -233 - p. Solve 0 = -2*b + 2*x, 6*x - 2*x = -4*b + z for b. 4 Suppose n - 6 = 45. Suppose -83 = -2*a - n. Suppose 20*c - a*c - 16 = 0. Solve -c*r = 3*t - 10, -2*t + 2 = 4*r - 6 for r. 1 Let x be -11 + (-176)/(-16) - -37. Solve n + l + 9 = 0, 3*l = -71*n + 66*n - x for n. -5 Suppose 5*q - 131 = -2*u, -2*u = -q + 33 - 2. Let n be 2/4*22*1. Suppose -5*y = -2*y + 2*i - n, 5*i + 30 = 4*y. Solve 18 = -l + 3*g + g, -y*g = l - q for l. 2 Let q be 291/194*(3 - 1). Solve 20 = 4*v - 2*f, -8*v + q*v + 11 = f for v. 3 Let q be (5/(-9))/(25/(-210)) + (-10)/(-30). Solve 0 = -9*m + 4*m + 2*o + 10, 0 = -5*m + q*o + 10 for m. 2 Let x be (-45)/(-8) + (-70)/112. Solve -11 = -v + 5*r, x*r - 63 = -4*v - 69 for v. 1 Let n be 2/(11/(-9 + 20)). Solve -10 - 5 = -n*q + 5*a, 0 = 3*a + 15 for q. -5 Let o(f) = -19 - 34*f - 31*f + 98*f - 36*f. Let x be o(-7). Suppose -5*n + 0*n - 2*r + 4 = 0, -4*n = x*r - 4. Solve c + n*g - 5 = 5*g, -2*g = -c + 5 for c. 5 Let g(l) = -15*l**3 - 2*l - 3. Let y be g(2). Let v = -131 - y. Let o be v + (-248)/(-60) + 146/30. Solve -5*i - x = 22, 4*i + 4*x + x + o = 0 for i. -5 Let u(m) be the third derivative of 0*m + 43*m**2 + 1/12*m**4 + 0 - 10/3*m**3. Let w be u(11). Solve -8 = -a + i + i, -a - w*i = 0 for a. 4 Let t be (-54)/99*(-209)/38. Solve 11*s - 16*s = -5*o, -t*o - 5*s - 32 = 0 for o. -4 Let d(p) = 15*p**3 + 10*p**2 + 9*p**3 - 22 - 38*p**3 + 15*p**3 - 13*p. Let r be d(-11). Solve r = -5*z - 4*b - 28, 0*z - b = z + 6 for z. -4 Let c = 3116 + -3103. Solve 2*d + q = -c, 7*d - 3*d + q = -23 for d. -5 Let k(c) = c**2 + 13*c + 51. Let y be k(-5). Suppose 2*p = 8, -12*p + 8*p + y = -o. Solve s - 10 = -o*l, -l = -4*s - 3 + 1 for l. 2 Suppose 0 = 2*l - 7*l - w - 1, -5*l + 4*w + 4 = 0. Suppose 6*j + 45 = j. Let v = j + 11. Solve 0 = -2*i + 3*c + v, l*c - c + 22 = 5*i for i. 4 Suppose -3*a - a + 8 = 0. Suppose 1 = d, 9 = a*l + 5*d - 2. Suppose 5*z + 3*t - 16 = 0, t = -z + l*t + 11. Solve 0 = y - j, 2*j = 4*y - y - z for y. 5 Suppose -h + 10 = h. Suppose -2*k + 5*i = -6, 3*k - 8*k + 15 = h*i. Solve -2*s = k*b - 11 - 5, 3*b - 8 = 2*s for b. 4 Let v(i) = i**3 + 33*i**2 + 100*i + 33. Let g be v(-3). Suppose 16 = 8*s - 4*s. Solve -y + 3*m = -g*y + 19, 4*m - 28 = -s*y for y. 2 Let v(t) = 27*t + 58. Let z be v(-2). Suppose -4*s - 2 = -5*d - z, 4*s + d - 14 = 0. Solve -s*b + 2*x = 1, 0*x = -5*b + x - 11 for b. -3 Let l = -46 + 48. Let x(g) = 3*g**3 - 2*g**2 + 1. Let n be x(-1). Let k be (-12 - -10)/(n/6). Solve -k*f = -5*s - 4, s - f = l*f - 8 for s. 1 Let i = -2778 + 2788. Solve -i = -5*u - 0, 0 = 4*j + 2*u - 16 for j. 3 Let k(s) = 14*s + 210. Let c be k(-21). Let w be ((-12)/14)/(9/c). Solve 3*m + w = -4*y, 2*m - m = 5*y + 29 for m. 4 Suppose 0 = 6*m - 2*m - 4*n + 4, 3*m + n - 9 = 0. Suppose 5*z + t - m = 0, z + 2*t = -0*t + 4. Solve 5*p + y + 5 = z, -2*p + 3*y = -3 - 12 for p. 0 Let p be -19 - (-11)/((-154)/(-1246)). Solve c - b + 4 = 0, 5*c + p*b - 71*b + 24 = 0 for c. -5 Let v(m) = 8*m**2 + 15*m + 1. Let b be v(-2). Suppose 5*x - 11 = -b*y + 110, -2*x = y - 48. Solve 0*n = 3*n - 2*u + 11, -3*n - x = -5*u for n. -1 Suppose -5*w + 4*k + 31 = 0, -3 = -k - 7. Solve 75*i + w*p = 73*i + 8, -p = 5*i - 7 for i. 1 Let z(l) = l**3 + 6*l**2 + 6*l + 9. Let u be z(-4). Suppose -13*k - 24 = -u*k. Let f be (-20)/15*6/(-4) + k. Solve f = 3*p + 5*i, -p + 4*i = 8*i - 12 for p. -4 Suppose -2*y = -3*m + 12, -m - 2*y = 3*y - 21. Let j = 470 - 464. Let d be j/16 + 481/296. Solve -w = -v - m, -v + w = d*v + 12 for v. -3 Let i = 170 + -171. Let x be ((-40)/24)/(i/3). Solve -c = x*o + 26, 5*c + 13 = 4*o + 28 for c. -1 Let x(i) = -3*i + 31. Let w be x(7). Let z = -273 + 275. Solve 7*c + 20 = 3*c, -z*c - w = -2*v for v. 0 Let i(v) = 2*v**2 + 7*v + 15. Let c be i(-20). Let u = c - 675. Solve u = 2*t - 4, p + 4*t = -4*p + 8 for p. 0 Suppose 23*l - 21*l - 4*o = 112, 0 = 4*l - 3*o - 239. Solve p = -4*y + 12, -2*p = -4*y - l + 86 for p. -4 Let k = -5965 + 6001. Solve 0 = -2*a + l + 5, 3*a + l + 26 = k for a. 3 Let f(i) = 33*i**2 + 256*i - 56. Let s be f(-8). Solve 9*p - 6 = s*p + 4*u, 0 = p + 4*u - 6 for p. 6 Suppose 5*h - 15 + 5 = 0. Suppose -4*q = -2*q + 2, h*k = -4*q. Suppose -2*u = 5*t - 11 - 14, u = 5*t - 10. Solve u*x - 10 = k*f, -5*x = -f - 4*f - 25 for f. -5 Let k = 723 + -721. Solve -n + 4 = d, -3*d = k*n - 13 + 6 for d. -1 Let r(x) = -x**3 - x**2 + 4*x - 4. Suppose o = -4*u - 23, 2*u + 16 = -3*o - 3. Let t be r(o). Solve 5*i = 4*d - 9, 2*d + 21 - 3 = -t*i for i. -5 Let h be (-1*(-1)/3)/((-8)/(-72)). Suppose 4*l - 3 - 15 = -o, -11 = -h*l - 2*o. Let x be (-6)/(-30) - (-99)/l. Solve 10*r - 25 = 5*r + 2*y, 0 = -4*y - x for r. 3 Let h be 3 + 6 + -1 + -6. Suppose -y + h = 0, -3*y + 37 = a + 9. Solve 4*t - a = 2*q, 0 = -4*t + 5 + 7 for q. -5 Suppose l - 3*m + 112 = 0, -3*m + 2*m = 4. Let y be (l/(-93))/((-8)/(-18)). Solve -o - y*p = -10, p - 2 = -3*o - p for o. -2 Let o be (4/7)/(8/28 + 0). Suppose -o*k + 5*c = -38, -2*k - 10 = -3*c - 40. Solve k = 3*s + 3*d, -5*s - d + 23 = -4*d for s. 4 Suppose 26 = 4*t - 195*b + 194*b, 3*t + 5*b = -15. Suppose -2*p = 2*p - 12. Suppose 0*y = -y + p. Solve 2*s + 2*a = 0, y*s - 7*s - 4 = t*a for s. 4 Suppose 4*j = -3*h - 31, -2*j - 3*h - 14 + 3 = 0. Let d be (-2)/(-5) - 56/j. Let m be 9/2 - (-3)/d. Solve 0 = -m*t + 4*g - 30, -t - 3*g = -4 - 9 for t. -2 Let i(m) = 21*m - 1. Let u be i(2). Suppose 8*q - 39 = u. Suppose -q = -l - 8. Solve -5*r - v + 29 = -l*v, -r = -v - 9 for r. 5 Let x(b) = 7*b**2 - 8*b + 7. Let n be x(2). Suppose 0 = n*q + 21 - 59. Solve -5*c = -0*t - 5*t - 30, 3 = -q*t - c for t. -3
{ "pile_set_name": "DM Mathematics" }
the third biggest value in -3, h, u? -3 Let t(j) = j**3 - 2*j. Let x be t(2). Let p = -55/72 + 7/18. Suppose 3*f + 4 + 5 = 0. Which is the third biggest value? (a) x (b) f (c) p b Let v = -0.2 + 0.3. Let m = 2152.3 - 2152. What is the third smallest value in m, 0.4, v, 5? 0.4 Let q(l) = -l**3 - 12*l**2 - 18*l + 21. Let y be q(-10). Which is the second biggest value? (a) -0.5 (b) y (c) 0.5 (d) 4/15 c Let t = -292 + 293. Which is the fourth biggest value? (a) -2 (b) -3 (c) -187 (d) t c Let s = 1653.89 + -1654. Which is the second smallest value? (a) 0.05 (b) -3 (c) s c Suppose 2*s + 0*p = 4*p - 24, -p = -5. Let y be ((-4)/10)/(s/10). Which is the second smallest value? (a) -0.3 (b) -3 (c) y a Let i = 197953/2490 - -1/1245. Which is the third biggest value? (a) 2 (b) i (c) -0.1 (d) -5/2 c Suppose -5*l = 4*f + 813, f + 831 = -5*l + 3*f. Let q be 2/(-5)*1*l. Let x be (-2)/6 - q/(-306). Which is the third smallest value? (a) 1/3 (b) -0.2 (c) x a Let x = 4 - 1. Let p = 8 + 12. Let w = 20 - p. What is the second smallest value in -0.3, w, x? w Let m = -1011 + 1007. Which is the third biggest value? (a) 0.2 (b) m (c) 40 b Let m = -128 + 120.5. Let g = m - -7.7. What is the fourth biggest value in -1, -1/6, g, 1/11? -1 Let z = -5.02 + 0.02. Let m = z + 5.1. Let n = -1.1 + m. What is the smallest value in n, 4/5, -2/5? n Let r = 2.39 + 2.61. Let y = 14.5 - 15. What is the second smallest value in -3/5, r, y? y Let b be 5*(-10)/25 - 5/(-3). What is the third biggest value in 36, -0.1, b? b Let f = 212 - 211.5. Let x = 125/156 + -2/39. What is the third smallest value in x, 1, f, 0.07? x Let v = 11990/3 - 4043. Let o = v - -46. Let q be (-1)/2*12/4. What is the third smallest value in -0.5, o, q? o Let q be 3/4*(-8)/14. Let g = 0.667 - -3.333. Let s = 6 - 17/3. Which is the third biggest value? (a) q (b) s (c) g a Let i = -674 - -677. Which is the third biggest value? (a) -2 (b) i (c) 11 a Let b = -1.28 - -0.91. Let o = b - -0.07. Let y be 4/9 + ((-47)/18 - -2). What is the third biggest value in o, 1, y? o Let c = 52.7723 - 0.0723. Let g = c - 53. What is the third biggest value in 4, -24, g? -24 Let x = -3.4 - -0.6. Let n = -3 - x. Let q = 10176 + -10176.3. Which is the biggest value? (a) q (b) n (c) 0.06 c Let j be (-4)/(-3)*6/(-4). Suppose -7*y + 19 + 65 = 0. Let q be (j/(-4))/((-21)/y). Which is the second biggest value? (a) 3 (b) 2 (c) q b Let g = -776 + 769. Which is the smallest value? (a) 6 (b) 1 (c) g (d) 0 c Let m = 0.01 - 2.01. Let w = -1/116 - 225/812. Let c = -65 - -68. What is the third biggest value in c, m, w? m Let h(s) = -s**3 + 11*s**2 + 14*s + 2. Let q be h(12). What is the biggest value in q, 0, 0.2? q Let p = -35.2 - -36.2. Which is the third biggest value? (a) -4 (b) p (c) -0.3 a Let x = -1248 + 1234. What is the fourth biggest value in 0.5, 4, -4, x? x Let a = 3380 - 3375. Let w = -17.86 + 18. Let s = 12.86 + w. What is the second smallest value in s, a, -1/5? a Let f(w) = 6*w - 2*w - 13 - 3*w - 2*w. Let r be f(-9). Let x be 1/(2/(-17) - (-230)/(-68)). Which is the second biggest value? (a) 12 (b) x (c) r b Let h = -0.0351 + 0.0351. Which is the second biggest value? (a) h (b) 5 (c) 0.77 (d) -3 c Suppose -9*b + 4*b - 15 = 0. Let q = -0.61 + 0.81. What is the second smallest value in q, b, 3? q Let j = 33 + -100/3. Let w = -26 + 8.4. Let n = 18 + w. What is the biggest value in n, j, -0.4? n Let k = -0.034 - -0.534. Let a = -3 - -3. Let i = a + -1. What is the third smallest value in i, k, 0.2? k Let m be (-28)/112*(-8)/(-18). Let n(g) = g**3 + 9 + 10*g + 9*g**2 + g**2 - 5. Let v be n(-9). Which is the smallest value? (a) v (b) m (c) 0.05 a Let m = -171 - -172. Let y be 33/22 + 1 + -1. Which is the biggest value? (a) 5 (b) m (c) y a Let u = 52.586 - 32.54. Let j = u - 0.046. Let s = j + -19.5. What is the biggest value in s, -2/3, -8? s Let q be 7 + 0 + -4 - 2. Let z(p) = -3*p**2 - 2*p. Let w be z(q). What is the biggest value in 5/3, w, 3/2? 5/3 Let v = -1203 - -6017/5. Which is the fourth smallest value? (a) -9 (b) v (c) -0.1 (d) 2 d Let h = 17.3 - 5.3. Let g = -9 + h. What is the second biggest value in 5, -0.3, -0.8, g? g Let p = -497/3 - -167. Let t = -0.83 + 0.6. Let v = -0.07 + t. What is the third biggest value in p, -1, v? -1 Let z = 0.92 + -1.32. Let k = -2.9 - -2.9. What is the second smallest value in -2, z, -1/2, k? -1/2 Suppose -27*s + 13*s = 0. What is the third biggest value in 8, 2/13, s, -2/7? s Suppose -96*m = -88*m. Which is the fourth smallest value? (a) 20 (b) m (c) -0.3 (d) 1/5 a Let x(h) = -3*h**2 + 9. Let r(l) = -4*l**2 + l + 10. Let t(v) = 2*r(v) - 3*x(v). Let j be t(-3). What is the biggest value in -5, 0, j? 0 Let j = 2169 + -2126. What is the smallest value in 5, 1/12, j? 1/12 Let f = 156.34 + -156.54. Let z = -13 + 8. What is the biggest value in f, 0, z? 0 Let l be (-20)/(-150) + 156/(-495). Which is the second smallest value? (a) l (b) -0.3 (c) -3 (d) -0.2 b Suppose -4*p + 3*m = -11, 0*p + 3*p = 4*m + 10. What is the second biggest value in p, -9, -11? -9 Suppose -5*k = -227 + 212. Which is the second biggest value? (a) 9/2 (b) -3 (c) 4 (d) k c Let q be (-39)/(-6) - (-30 + 35). What is the second smallest value in 0.4, q, -1/6? 0.4 Let u = -4.75 - -2.75. Let l = 14 - 13.8. What is the smallest value in -0.3, l, u? u Suppose -3*w = 2*d + 21, -12*w + d = -7*w + 22. What is the third smallest value in w, 3, -1/7, 0.4? 0.4 Let x(f) = -f**2 + 2*f - 1. Let v be x(2). Let o = -9.78 - -10. Let r = o + -0.02. Which is the second biggest value? (a) r (b) v (c) -3 b Let k = -0.62 - 0.14. Let v = 0.26 + k. Let t(q) = 2*q - 6. Let d be t(4). What is the second biggest value in v, d, -2? v Suppose 12*z = 7*z + 25. Let f be ((-1)/2)/((-25)/z). Which is the third smallest value? (a) 0 (b) -0.4 (c) f c Let l = 89 - 539/6. What is the fourth biggest value in 2/13, 4, l, -3? -3 Let f be (-8 - (-224)/40)/(12/160). Which is the third biggest value? (a) f (b) -0.13 (c) 2 a Let h = 4.51 - 0.51. What is the biggest value in 2/3, 0.3, h, 44/3? 44/3 Let y = 5 - 13/4. Let h = 0.22 + 0.08. Which is the second biggest value? (a) -5/4 (b) y (c) h c Let i = 0.27 - 0.77. Let t = -3.03 + 0.03. Which is the third biggest value? (a) 0.2 (b) t (c) -1 (d) i c Let g = -0.201 - 0.099. Which is the fourth smallest value? (a) 5 (b) g (c) 4 (d) 26 d Suppose 77*p = 78*p - j + 3, -3*j = 6. Which is the fourth smallest value? (a) -3 (b) 1 (c) p (d) 2/19 b Let h = 156.96 - 157. What is the third biggest value in 0.01, 3, h? h Let b = 53.6 - 54. Let x = 50 + -49. What is the second smallest value in b, -3, x, -1/3? b Let q = 12/5 + -9/10. Which is the third smallest value? (a) q (b) -1/3 (c) -1/2 (d) -0.6 b Let d = -4 + 5.1. Let r = -0.9 + d. Let t = -0.2 - 0. Which is the third smallest value? (a) -3/5 (b) t (c) r c Let l = 1.582 - 1.97. Which is the smallest value? (a) -4/5 (b) l (c) 1/3 a Let g = 205 + -205.4. What is the fourth biggest value in -3, 1/4, g, -4? -4 Suppose 2*b - 3 = -5*p, -3*b + 1 - 4 = 5*p. What is the second smallest value in -9, b, 3/7? b Let t = -215 + 133. Let b = t + 81.9. What is the second smallest value in -3/7, b, 2? b Let o = -1/913 - 6572/83. Let g = o - -79. What is the biggest value in g, -4, -2/15, -2/9? -2/15 Let r = -54 + 48. What is the third biggest value in 4, 1.9, r? r Let m = 0.0883 - 7.0883. Which is the third smallest value? (a) -6/7 (b) m (c) -0.5 c Let u = -0.32 - -0.5. Let o = u - -0.12. Let s = 53/5 + -10. Which is the third smallest value? (a) 2 (b) o (c) s a Let r = -3 + 7. Suppose 3*f + 23 = 2*u, 4*f + 6 = 6*f + 4*u. What is the third biggest value in -0.4, r, f? f Let f = 312.8 - 314. Let p = 6.5 + -5. Let v = p + f. What is the second biggest value in v, 2/7, -4? 2/7 Let z = 15.1 + -78.1. Let l = z + 62.5. Which is the fourth smallest value? (a) l (b) -1.1 (c) -5 (d) -0.1 d Let q be 902/205 - (4 + -3 + 4). Let g = 2 + -2. Which is the third biggest value? (a) q (b) 1/7 (c) -2.1 (d) g a Let n = 73 + -68. Let f be n/35*(0 + -4). Let q = -5/12 + -1/12. Which is the second biggest value? (a) q (b) f (c) -0.2 a Let h = 0.1 + 0. Let o = -2.39 - -0.19. Let w = -4.2 - o. Whic
{ "pile_set_name": "DM Mathematics" }
ut replacement from ikiiiiiiki. 0 Three letters picked without replacement from gsgfxjggkgkgkxxjg. What is prob of picking 1 g, 1 k, and 1 j? 21/340 Three letters picked without replacement from {g: 2, x: 1, i: 3, q: 6, e: 5}. What is prob of picking 1 g, 1 x, and 1 q? 3/170 Calculate prob of picking 2 y and 1 s when three letters picked without replacement from yysyzyyyyyssszyysyy. 110/323 Three letters picked without replacement from {a: 7, z: 7}. What is prob of picking 3 z? 5/52 Two letters picked without replacement from {y: 1, r: 1, h: 3, g: 2, v: 3, e: 1}. What is prob of picking 1 g and 1 r? 2/55 Two letters picked without replacement from {f: 4, b: 3, p: 4, i: 4}. Give prob of picking 1 b and 1 i. 4/35 Four letters picked without replacement from {i: 13, q: 5}. Give prob of picking 1 i and 3 q. 13/306 Two letters picked without replacement from pbpppppb. Give prob of picking 2 b. 1/28 Four letters picked without replacement from gbppbbbbbbbcg. Give prob of picking 1 g, 2 b, and 1 c. 56/715 Calculate prob of picking 2 i and 2 r when four letters picked without replacement from zizrzzirzziz. 1/165 Two letters picked without replacement from bbbbbbqbbbbqqeqebqq. What is prob of picking 2 e? 1/171 Two letters picked without replacement from aav. Give prob of picking 2 a. 1/3 Two letters picked without replacement from {t: 1, e: 1, p: 1, m: 1, i: 1}. Give prob of picking 1 m and 1 t. 1/10 Three letters picked without replacement from {h: 4, n: 4, c: 1, g: 1, f: 1, w: 7}. Give prob of picking 2 w and 1 c. 7/272 What is prob of picking 3 b and 1 m when four letters picked without replacement from beebbeemm? 1/63 Calculate prob of picking 1 g and 1 z when two letters picked without replacement from {x: 2, z: 2, g: 5, q: 1, b: 2, d: 2}. 10/91 What is prob of picking 2 g when two letters picked without replacement from wwgwwwwwwgwwwg? 3/91 What is prob of picking 2 f and 1 c when three letters picked without replacement from jfffcfjjf? 5/42 What is prob of picking 1 y and 2 p when three letters picked without replacement from {y: 9, p: 3}? 27/220 Two letters picked without replacement from {t: 7, o: 3, p: 1, g: 4, j: 3}. What is prob of picking 1 t and 1 g? 28/153 Two letters picked without replacement from ibaabaaab. What is prob of picking 1 b and 1 i? 1/12 What is prob of picking 4 x when four letters picked without replacement from xyxxxxyxyy? 1/14 What is prob of picking 2 d when two letters picked without replacement from {d: 13, y: 6}? 26/57 Two letters picked without replacement from {c: 18, i: 1}. Give prob of picking 2 c. 17/19 Two letters picked without replacement from {a: 2, q: 4, w: 1, j: 1, d: 3}. What is prob of picking 1 a and 1 w? 2/55 What is prob of picking 1 p and 2 x when three letters picked without replacement from {p: 1, q: 3, x: 4, d: 12}? 1/190 Four letters picked without replacement from {b: 2, k: 5, p: 3}. What is prob of picking 2 p and 2 k? 1/7 Calculate prob of picking 2 o when two letters picked without replacement from noongxnngnxdnconocn. 2/57 Three letters picked without replacement from {g: 1, f: 2, w: 2, y: 4, m: 1, j: 2}. Give prob of picking 2 y and 1 f. 3/55 Four letters picked without replacement from {b: 9}. Give prob of picking 4 b. 1 Two letters picked without replacement from cycycyyycyccycyycc. What is prob of picking 1 y and 1 c? 9/17 Two letters picked without replacement from tjzszczjsjzshj. What is prob of picking 1 j and 1 s? 12/91 Two letters picked without replacement from qtgqcuuccu. What is prob of picking 1 u and 1 q? 2/15 Calculate prob of picking 2 q and 2 r when four letters picked without replacement from {w: 1, r: 12, q: 3}. 99/910 What is prob of picking 2 e when two letters picked without replacement from eubmubueuuuuuemubu? 1/51 Four letters picked without replacement from {g: 7, n: 4, r: 2}. What is prob of picking 3 n and 1 r? 8/715 What is prob of picking 3 c and 1 m when four letters picked without replacement from cmmccpc? 8/35 What is prob of picking 1 h and 1 r when two letters picked without replacement from {b: 1, h: 1, r: 2}? 1/3 What is prob of picking 3 w and 1 b when four letters picked without replacement from bjwjwwjwwbjjb? 6/143 Calculate prob of picking 2 c and 1 s when three letters picked without replacement from ssscssscsssscsccsss. 140/969 Four letters picked without replacement from jjjsqsssjqj. What is prob of picking 2 q, 1 j, and 1 s? 2/33 Two letters picked without replacement from ddddgdddggddddgddg. Give prob of picking 2 d. 26/51 Calculate prob of picking 1 u and 1 b when two letters picked without replacement from puubpubupbbpuubpubp. 14/57 Three letters picked without replacement from {l: 4, o: 3, d: 4, v: 5}. Give prob of picking 3 d. 1/140 Three letters picked without replacement from llixiliuuul. What is prob of picking 1 i and 2 l? 6/55 Two letters picked without replacement from zpzpzppzzpzpp. Give prob of picking 2 z. 5/26 Two letters picked without replacement from qunqufufqqqfukqnfvqf. What is prob of picking 1 q and 1 f? 7/38 Two letters picked without replacement from {i: 2, h: 1, z: 2}. Give prob of picking 2 i. 1/10 Two letters picked without replacement from {j: 3, r: 4}. Give prob of picking 2 r. 2/7 What is prob of picking 1 o and 1 p when two letters picked without replacement from {l: 3, p: 13, o: 3}? 13/57 Calculate prob of picking 1 e and 1 x when two letters picked without replacement from {n: 3, e: 6, t: 2, x: 1, b: 1}. 1/13 Two letters picked without replacement from shfhhhssfh. What is prob of picking 2 f? 1/45 What is prob of picking 1 u and 2 t when three letters picked without replacement from ttuuuuut? 15/56 What is prob of picking 2 l and 1 t when three letters picked without replacement from {l: 9, z: 8, t: 2}? 24/323 What is prob of picking 2 r when two letters picked without replacement from rrryyr? 2/5 Three letters picked without replacement from {b: 13, d: 3, i: 1}. Give prob of picking 3 d. 1/680 Two letters picked without replacement from kajjcjgrjjkkjrkjjjjj. Give prob of picking 1 a and 1 g. 1/190 Calculate prob of picking 3 k and 1 s when four letters picked without replacement from qqcksqkkjqqkklc. 2/273 What is prob of picking 2 c and 1 r when three letters picked without replacement from {c: 7, b: 4, r: 1, l: 2}? 3/52 Calculate prob of picking 1 e and 2 k when three letters picked without replacement from ookyoyooeokoyyokoy. 1/272 Three letters picked without replacement from {i: 14, q: 1}. Give prob of picking 2 i and 1 q. 1/5 Four letters picked without replacement from iiirriiiiriririi. Give prob of picking 1 r and 3 i. 165/364 What is prob of picking 1 z and 1 k when two letters picked without replacement from {e: 1, k: 2, z: 1}? 1/3 Three letters picked without replacement from {x: 3, a: 1, n: 4, o: 3}. Give prob of picking 3 a. 0 Four letters picked without replacement from {g: 4, o: 6, p: 4, b: 3}. Give prob of picking 3 b and 1 g. 1/595 Three letters picked without replacement from {b: 5, m: 3, o: 3, z: 1}. Give prob of picking 2 o and 1 z. 3/220 Calculate prob of picking 2 u and 2 o when four letters picked without replacement from ooooouuo. 3/14 Two letters picked without replacement from hhhhuhuuhnuhhuhunun. What is prob of picking 1 h and 1 n? 3/19 Four letters picked without replacement from {f: 2, o: 1, v: 3, m: 3, b: 2, c: 1}. What is prob of picking 2 f, 1 c, and 1 o? 1/495 Two letters picked without replacement from bsbbsbbssbbbosbobs. What is prob of picking 2 o? 1/153 Two letters picked without replacement from {s: 5, y: 1, b: 4, z: 5, t: 5}. Give prob of picking 2 s. 1/19 What is prob of picking 2 k when two letters picked without replacement from kwwwkvvwkwkwkvv? 2/21 Three letters picked without replacement from {z: 3, k: 1, l: 1, i: 11, o: 1, w: 2}. What is prob of picking 1 o and 2 z? 1/323 Four letters picked without replacement from llllollllololoolhl. Give prob of picking 1 h and 3 l. 11/153 What is prob of picking 2 l when two letters picked without replacement from {l: 4, m: 1, w: 5, c: 1}? 6/55 What is prob of picking 3 b when three letters picked without replacement from {e: 3, b: 7, c: 3}? 35/286 What is prob of picking 2 i when two letters picked without replacement from
{ "pile_set_name": "DM Mathematics" }
ement from {o: 2, u: 7, x: 3}. What is prob of sequence xxux? 7/1980 Calculate prob of sequence qxu when three letters picked without replacement from uxxrurarxq. 1/120 What is prob of sequence ybjj when four letters picked without replacement from {e: 1, b: 5, y: 8, j: 4}? 1/153 Calculate prob of sequence nqnn when four letters picked without replacement from nnnnnnnnnnnqnnn. 1/15 Calculate prob of sequence pub when three letters picked without replacement from weuepuppleb. 1/165 Two letters picked without replacement from rnnqtzttntnrnttznz. What is prob of sequence tz? 1/17 Calculate prob of sequence mgog when four letters picked without replacement from {g: 8, m: 5, o: 4, e: 1}. 7/459 Four letters picked without replacement from ssssszsssusssssuzzss. What is prob of sequence szss? 91/1292 Two letters picked without replacement from stsiiptssisixppsxxii. Give prob of sequence si. 9/95 Three letters picked without replacement from mqwwwrxxqzrq. Give prob of sequence zrw. 1/220 What is prob of sequence oxaa when four letters picked without replacement from eaeoeaxaoaeaaaeexoee? 7/3230 What is prob of sequence ix when two letters picked without replacement from {d: 2, i: 7, x: 1}? 7/90 What is prob of sequence lccc when four letters picked without replacement from cccclccccccccclccccc? 8/95 Four letters picked without replacement from {b: 6, a: 4}. Give prob of sequence abab. 1/14 Calculate prob of sequence rwjw when four letters picked without replacement from rjywggjw. 1/420 Two letters picked without replacement from eeeeeeeeeeeeeqe. Give prob of sequence qe. 1/15 Two letters picked without replacement from vvvvkkvvvvvvv. What is prob of sequence kk? 1/78 Four letters picked without replacement from {v: 1, n: 2, h: 3, f: 3, u: 4, a: 2}. What is prob of sequence ahhv? 1/2730 Calculate prob of sequence pbv when three letters picked without replacement from {p: 1, b: 2, j: 1, v: 1}. 1/30 Two letters picked without replacement from wmzwzwwz. What is prob of sequence mw? 1/14 What is prob of sequence qk when two letters picked without replacement from cqqqqgkqqiqcqwkkg? 3/34 Two letters picked without replacement from kkkkczzzkkcclc. What is prob of sequence ck? 12/91 Three letters picked without replacement from lnznnnoonlnllhoo. Give prob of sequence hnn. 1/112 What is prob of sequence edi when three letters picked without replacement from {n: 1, d: 10, i: 1, e: 2, c: 4}? 5/1224 Four letters picked without replacement from {k: 2, i: 4, p: 1}. Give prob of sequence ikpk. 1/105 Two letters picked without replacement from mbjjbjbb. What is prob of sequence mb? 1/14 Calculate prob of sequence llv when three letters picked without replacement from {v: 7, x: 2, l: 6}. 1/13 What is prob of sequence el when two letters picked without replacement from {y: 2, l: 2, e: 1}? 1/10 Four letters picked without replacement from ruhsrhuuuhs. Give prob of sequence hsur. 1/165 Three letters picked without replacement from {v: 5, z: 7, o: 2, h: 5}. What is prob of sequence zhh? 70/2907 Two letters picked without replacement from {m: 1, o: 1, q: 2, j: 1}. What is prob of sequence qm? 1/10 Four letters picked without replacement from hkhaahhhhakh. What is prob of sequence ahkk? 7/1980 Two letters picked without replacement from zizzzi. Give prob of sequence zz. 2/5 Two letters picked without replacement from {y: 5, z: 2}. What is prob of sequence yz? 5/21 Calculate prob of sequence gfg when three letters picked without replacement from gyfryrffrgfyg. 2/143 Two letters picked without replacement from {u: 7, b: 1, z: 4, i: 8}. Give prob of sequence iu. 14/95 Calculate prob of sequence pp when two letters picked without replacement from {r: 15, p: 3}. 1/51 Two letters picked without replacement from {n: 1, o: 4, c: 2, m: 6, z: 2}. What is prob of sequence oz? 4/105 What is prob of sequence gudu when four letters picked without replacement from guucuduugcuceueud? 1/255 Calculate prob of sequence ncj when three letters picked without replacement from yjjcjjyn. 1/84 Calculate prob of sequence nnhn when four letters picked without replacement from hnnn. 1/4 What is prob of sequence le when two letters picked without replacement from lzlfezlelez? 6/55 Calculate prob of sequence ps when two letters picked without replacement from pss. 1/3 Calculate prob of sequence qq when two letters picked without replacement from {l: 4, p: 11, q: 2, h: 2}. 1/171 Two letters picked without replacement from zzzzzpppvzllv. Give prob of sequence pl. 1/26 Calculate prob of sequence ffff when four letters picked without replacement from {f: 7}. 1 Calculate prob of sequence jjjg when four letters picked without replacement from ggjjjjgggjjmjgjgjjj. 385/5168 Four letters picked without replacement from gkgjghgjjccjgpgc. Give prob of sequence jckg. 3/1820 What is prob of sequence vbl when three letters picked without replacement from {v: 2, l: 1, e: 2, b: 1, k: 1}? 1/105 What is prob of sequence jz when two letters picked without replacement from ttjzjjtz? 3/28 Two letters picked without replacement from rrs. What is prob of sequence sr? 1/3 Three letters picked without replacement from {n: 3, v: 7, b: 1, w: 1}. Give prob of sequence vwb. 7/1320 Two letters picked without replacement from {s: 5, b: 11}. Give prob of sequence bb. 11/24 Four letters picked without replacement from uaaauauauguauaauaa. Give prob of sequence auaa. 7/102 Calculate prob of sequence xdsp when four letters picked without replacement from idpidsx. 1/420 What is prob of sequence ta when two letters picked without replacement from {a: 3, t: 2}? 3/10 Four letters picked without replacement from kpzpkpkkz. Give prob of sequence kzpp. 1/63 What is prob of sequence rdr when three letters picked without replacement from {d: 12, r: 3}? 12/455 What is prob of sequence idd when three letters picked without replacement from hidd? 1/12 Two letters picked without replacement from {v: 4, r: 7, i: 3}. What is prob of sequence vi? 6/91 Calculate prob of sequence iw when two letters picked without replacement from biyibiqqbiwij. 5/156 What is prob of sequence nt when two letters picked without replacement from ntot? 1/6 Four letters picked without replacement from zjbdbmkmdbkbbbjdbdkd. What is prob of sequence bmkz? 7/19380 Calculate prob of sequence cc when two letters picked without replacement from ccwccwwwwwcww. 5/39 Calculate prob of sequence uu when two letters picked without replacement from yyyyyyyuyu. 1/45 Three letters picked without replacement from wwwwuwwwwuwwwuwwwwww. What is prob of sequence uuu? 1/1140 Two letters picked without replacement from bydvx. Give prob of sequence xv. 1/20 Calculate prob of sequence kkbz when four letters picked without replacement from {y: 2, k: 2, z: 1, h: 1, w: 1, b: 1}. 1/840 Calculate prob of sequence zvq when three letters picked without replacement from lllvqvvvvvzqq. 3/286 Three letters picked without replacement from cvtvdcctgtgtcc. Give prob of sequence vgd. 1/546 Four letters picked without replacement from {m: 11, b: 1, p: 1}. Give prob of sequence pmbb. 0 Two letters picked without replacement from {e: 3, d: 1, t: 4, p: 4, y: 1, a: 1}. What is prob of sequence dy? 1/182 Three letters picked without replacement from owgaajh. Give prob of sequence aoj. 1/105 Four letters picked without replacement from {d: 7, t: 2, n: 5, c: 4}. Give prob of sequence cdcc. 7/3060 Three letters picked without replacement from ojmpj. What is prob of sequence jjo? 1/30 What is prob of sequence ttl when three letters picked without replacement from {d: 2, t: 4, r: 2, o: 2, j: 4, l: 1}? 2/455 Two letters picked without replacement from {d: 4, i: 1, p: 4, s: 2, e: 1, j: 3}. Give prob of sequence ie. 1/210 Three letters picked without replacement from {i: 1, f: 1, v: 1, w: 1, q: 1}. What is prob of sequence ifw? 1/60 What is prob of sequence qb when two letters picked without replacement from {b: 7, q: 6}? 7/26 Three letters picked without replacement from {e: 2, z: 3}. What is prob of sequence zzz? 1/10 Four letters picked without replacement from zzzzuzzzzzazzzzzu. What is prob of sequence zazu? 13/2040 Calculate prob of sequence zl when two letters picked without replacement from {z: 2, l: 1, n: 2, k: 6}
{ "pile_set_name": "DM Mathematics" }
hat is the third smallest value in k, b, -2/13? k Let h = 180.1 + -180. Let p be (-3)/12*16/(-12). Let y = -0.2 - -0.4. Which is the third biggest value? (a) y (b) p (c) h c Let d = 29 + -6. Let h = -18 + d. Let v = 0.32 + -0.02. Which is the second smallest value? (a) h (b) 10 (c) v a Let i(r) = 2*r + 12. Let h(l) = -2*l - 12. Let v(q) = 3*h(q) + 2*i(q). Let y be v(-7). What is the smallest value in 2/17, -0.2, y, -0.3? -0.3 Let y(d) = d - 16. Let g be y(19). Suppose 0 = 4*c - 4*r - 28, g*c - 6 = 2*r - 4*r. What is the third biggest value in c, -2, -3? -3 Let r = -3.71 - -4. Let n = 0.31 - r. What is the biggest value in 2/7, n, -1, -0.2? 2/7 Suppose 0 = -c - 3*c + 4. Let k be c - (-3 - (3 + -4)). Suppose 2*r - y - 4 = 0, -k*r = 2*r - 5*y. What is the third biggest value in -7, -1, r? -7 Let w be (-11 - -1)/(-3 + 4/4). Let r = 2 - 2.2. Which is the smallest value? (a) 0.4 (b) r (c) w b Let x = -10.82 + 11. Let d = -6.1637 + -0.0163. Let w = x + d. Which is the biggest value? (a) w (b) -3/7 (c) -0.3 c Suppose -3*q = -6*q. Let z = -6 - -2. Let r = z + 4.1. What is the smallest value in -4, r, q? -4 Suppose 5*s + 16 = s. Let p = 0.2 - -0.3. Let m = -8821 + 8825. What is the second smallest value in p, s, m? p Let h = -48.5 - -49. Which is the second biggest value? (a) 3 (b) 1.3 (c) h (d) 0.4 b Let p be 6/(-9) + 17/3. Suppose 0 = 4*h + 19 + p. Let z be ((-2)/h - 0)*-15. What is the third smallest value in -1, -2, z? -1 Let w = 0.241 - -12.759. Which is the third biggest value? (a) 1/3 (b) -4 (c) -1 (d) w c Let s = 17.1 + -21. Let o = -3.73 - s. Let y = 0.23 + o. Which is the third smallest value? (a) -3/11 (b) y (c) -4 b Let i be 10*(4 - 69/18). Let y = -5.1 - -1.1. Let x(c) = -c**2 + c. Let z be x(0). What is the second smallest value in i, z, y? z Let l = 78 + -82. What is the third smallest value in -5, l, 1/7? 1/7 Let h be (170/24 - 7)*16. Which is the second biggest value? (a) -0.2 (b) 9 (c) h c Let o = -22 - -25. Let j = 68 - 67. Which is the second biggest value? (a) -5 (b) j (c) o (d) -3 b Let h = -654 + 653.7. Which is the third biggest value? (a) -15 (b) -2 (c) h a Suppose -u - 18 = -5*o, 5*o + 4*u - 21 = -18. Let v = -6 + 11. Which is the fourth smallest value? (a) -0.1 (b) v (c) o (d) 1/4 b Let j = 161/11 - 655/44. What is the third smallest value in j, 9, -1/5? 9 Let t = 7 - 12. Let q = 35.078 + -0.078. Let g = 34.6 - q. Which is the second smallest value? (a) g (b) -1.1 (c) t b Let n = 176 + -180. Which is the fourth smallest value? (a) 1 (b) n (c) 1/2 (d) -5 a Let f = 0.9 + -1.22. Let i = 129 - 128.78. Let s = f + i. What is the second smallest value in s, 0.3, -9? s Let q = -188.8 + 189. Which is the biggest value? (a) 0.6 (b) 5 (c) q (d) 2/13 b Let p = 6 + -4. Let m = -6.09 - -0.09. Let s = -9 - m. Which is the third smallest value? (a) p (b) s (c) 5 c Suppose 2*u - 36 = -5*x, -18 = -3*x + 7*u - 10*u. Let r(n) = -n + 5. Let v be r(5). Suppose v = -s + x*s + 35. Which is the biggest value? (a) 3 (b) s (c) -3 a Suppose 0 = w - 25 - 18. Let n = w + -44. Which is the second biggest value? (a) 4 (b) -11 (c) n c Let l = 245.7 + -244. Which is the biggest value? (a) l (b) 3 (c) -0.4 b Let t = -34 - -10. Let h = -21 - t. Let b be (9/(-6))/((-3)/4). What is the biggest value in h, 1, b? h Let g = 3 + 1. Suppose -1462*i + 30 = -1456*i. What is the third biggest value in g, -0.4, i? -0.4 Let q = 4131 - 4134. Let x = -2.5 - -30.5. What is the second biggest value in -1/9, q, x? -1/9 Let k = -0.687 - 128.373. Let y = k + 131. Let v = 0.06 + y. Which is the smallest value? (a) 1 (b) v (c) -2 c Let x = 106.82 - 107. Which is the third biggest value? (a) -1 (b) x (c) 1/6 a Let f = 1498 - 1502. Let p be (-6)/4*(-4)/15. Which is the second smallest value? (a) f (b) p (c) 3 b Let l be 9/(-15)*60/18. Which is the third biggest value? (a) -265 (b) -1/2 (c) l a Suppose -28 = -4*i - 5*f, -i + 4*i - f - 2 = 0. Suppose 4*d - i*d = 0. Let m = -1 - 3. Which is the second smallest value? (a) 3/2 (b) d (c) m b Let v be 7/(56/180) + (-3)/(-6). Let g = v - 165/7. Let l = -2.5 - -2. What is the second smallest value in 0.2, g, l? l Let n = -3513 - -3511. Let m = 0.1 - -0.4. What is the third smallest value in 0.1, 1, n, m? m Let z(q) = -264*q**2 - q - 2. Let t be z(-1). Let l = 1067/4 + t. Which is the biggest value? (a) -0.2 (b) l (c) 4 c Let n = -59 - -59.12. Let k = n - -0.38. Let a be (-1)/8*2/3. What is the biggest value in -3, k, a? k Suppose -3*q + 4*q = 5. Suppose -3*r + 3*b + 18 = 0, -1 = 2*r + 3*b + 2. Suppose q = 4*v - r. What is the third smallest value in 0.4, -2/7, v? v Let p be (6 - 7) + -4*3. Which is the third smallest value? (a) p (b) 3 (c) -1/5 b Suppose 6*d = -d + 182. Let w = 28 - d. Which is the third smallest value? (a) 0.4 (b) w (c) -8 b Let k = 21.4 + -25. Let m = k + -0.4. Which is the third biggest value? (a) -1/5 (b) 0.1 (c) m (d) 2/9 a Let a = -13 - -15. Let j = 0.018 + -4.018. What is the fourth biggest value in 0.1, a, j, -3/5? j Let z = 17 - 9. Let y = z + -5. Let w = 3.9 - 4.3. What is the third biggest value in y, 1/3, w? w Let j(t) = t**3 - 5*t**2 - 2*t + 5. Let x be j(5). Suppose 0 = 6*d - 4*d - 22. What is the smallest value in -0.3, x, d? x Let i = -0.16 - 0.24. Let l = 98.3 + -106. Let z = l - -8. Which is the third smallest value? (a) i (b) z (c) -4 b Let f = -8 + 10. What is the third biggest value in -16, -1, f? -16 Let m(r) = -3*r + 21. Let z be m(6). What is the biggest value in 0, 2, z, 2/57? z Let g = -0.094 + 2.094. Let x = -1.1 - -0.1. Which is the third smallest value? (a) 0.1 (b) g (c) x b Suppose 2*o = -3*p - 104, 5*p + 4*o + 172 = o. Let s = p + 35. Let v = -2.4 + 2. What is the second smallest value in s, -1, v? v Let o = 0.2 + -0.4. Let k = -11.2 - -10.891. Let s = k - -0.009. Which is the second biggest value? (a) o (b) s (c) -3 b Let i = -558 + 558.4. Which is the third biggest value? (a) 0.1 (b) i (c) -0.3 (d) -10 c Let x = -0.8 + 5.8. Let i = -4/7 + 5/21. Let y be -2 + ((-28)/(-98) - 62/(-28)). Which is the third smallest value? (a) i (b) x (c) y b Let g = 0.554 - 0.154. What is the biggest value in 1, -0.4, g? 1 Let w be (156/18)/((-2)/3). Let z(y) = -y - 13. Let q be z(w). What is the third biggest value in 1, 0.01, q? q Let r be ((-3)/(-14))/(90/70). Suppose 2*a + 6 = -2*w, 2*a + w = 2*w + 6. Let h be (a - -1)*6/4. What is the third smallest value in -1/2, h, r? h Let d = -96.5 - -96.9. Which is the second smallest value? (a) 2/15 (b) d (c) 13/14 b Let m = -23 + 24. Let y = 12 + -15. What is the smallest value in m, y, -2? y Suppose 1 = 5*h + 11. Let i be (-4 + 207/51)*h. What is the second biggest value in i, -3/5, -10? -3/5 Let v = 200.17 + -201. Let y = 0.13 + v. Let s = y - -0.4. Which is the biggest value? (a) s (b) -1/11 (c) 5/3 c Suppose -3*n + n - 10 = -5*c, c + 4*n - 2 = 0. Suppose -a = c*a. Let l = -88.8 - -89. What is the biggest value in l, 12, a? 12 Let z = -1501 + 1500. Which is the smallest value? (a) z (b) 5 (c) 0.17 a Let c = 129.89 - 129.89. Let q = 0.3 + -0.5. What is the third biggest value in q, -0.3, c? -0.3 Let n be (-5 - -8) + (-356)/118. Let z = n + 179/118. Which is the third biggest value? (a) 18 (b) 3 (c) 1/3 (d) z d Let h = -0.02 - -0.02. Let s = -3.166 - -0.066. Let v = 3.3 + s. What is the biggest value in h, 0.5, v? 0.5 Let y = -0.57 + 1.07. Let v = 0.17 + -0.07. What is the second biggest value in 7/13, v, y? y Suppose 5*l + 260 = 15*l. Let h be (l/(-195))/((-8)/6 + 2). Which is the third biggest value? (a) 1/5 (b) -2 (c) h b Let y be (-6 - -1) + 2/(-2). Let p = 14414.2 + -14414. Let l = 6 - 6.3. Which is the smallest value? (a) y (b) p (c) l a Let h be (0 - 10/(-50))*(-10)/8. What is the smallest value in h, -1/9, -3/2? -3/2 Let g = -5.33 - -4.83. Which is the biggest value? (a) g (b) 1/7 (c) -8 (d) 4/5 d Suppose -8 = 4*u - 3*g, -16 + 0 = 4*u - 5*g. What is the fourth biggest value in 2/11, u, 3/8, 10? 2/11 Suppose 2*w + 5 = -z + 14, 15 = 5*z. Suppose -w*q - 2*q - 10 = 0. Let k be 1 - ((-56)/20)/q. Which is the third smallest value? (a) -1/4 (b) k (c) -0.5 a Let x(r) = -r**3 - 8*r**2 - 5*r + 3. Let l be x(-7). Let k = l + 9. Let p = -0
{ "pile_set_name": "DM Mathematics" }
95640*f + 7 Differentiate -134372326*w + 82192010 wrt w. -134372326 What is the second derivative of 331*v**3*y - v**3 - 9807*v**2*y + 6*v*y - 3660*v + 243*y wrt v? 1986*v*y - 6*v - 19614*y What is the first derivative of -5336236*d - 756578 wrt d? -5336236 What is the third derivative of -2*z**5 - 3840970*z**4 + z**3 + 274*z**2 - z - 3263? -120*z**2 - 92183280*z + 6 What is the second derivative of 576193576*w**2 + 68188726*w wrt w? 1152387152 Find the second derivative of 129414705*n**3 + 2184*n + 276 wrt n. 776488230*n Find the third derivative of 372358664*a**5 + 2*a**2 - 1332656*a. 22341519840*a**2 Find the first derivative of 34130*s**2*w - 19*s**2 + 1687*s*w**2 - 1034*s - w**3 + 253 wrt w. 34130*s**2 + 3374*s*w - 3*w**2 What is the first derivative of -10*v**3*x**3 - 2866034*v**3*x**2 + 539*v**3 - 69*v**2 - v - 11 wrt x? -30*v**3*x**2 - 5732068*v**3*x What is the derivative of -7660741*n*r*y - 2*r*y + 19*r + 9*y - 1206 wrt n? -7660741*r*y Find the second derivative of -230113*d**3 + 13*d**2 + 26371524*d wrt d. -1380678*d + 26 Find the second derivative of 7827207*i**2 + 6805174*i - 2. 15654414 Find the second derivative of 56665*s*t**3 - 5*s*t**2 + 11355*s*t + 7*t**3 + t**2 - 192*t - 1 wrt t. 339990*s*t - 10*s + 42*t + 2 Differentiate -3099962*a**2 + 640741. -6199924*a Find the first derivative of -170839*m**3 - 2810*m**2 - 1227880856. -512517*m**2 - 5620*m What is the third derivative of -3*d**3*f**3 - 4*d**3*f**2 + 379843*d**2*f**2 + 72*d*f**3 - 115332*f**3 - 9 wrt f? -18*d**3 + 432*d - 691992 Find the first derivative of 2438407*a**3*h*t**2 - 5*a*h*t**2 + h*t - 11427*h - 42*t**2 + 5*t wrt a. 7315221*a**2*h*t**2 - 5*h*t**2 Find the third derivative of 55*o*v**4 + o*v**3 - 2*o*v**2 + 5*o*v - 50930*v**3 + 61874*v**2 - 2 wrt v. 1320*o*v + 6*o - 305580 What is the second derivative of 431330663*i**2*p**2 - 1507*i**2*p - 2*i**2 + i*p - 83*p + 1 wrt p? 862661326*i**2 Find the second derivative of -51*g**4*k**3 + 38574*g**2*k**3 - 10*g*k**3 - 3*g*k**2 - 24*g + 206*k**3 wrt g. -612*g**2*k**3 + 77148*k**3 What is the third derivative of 5213980*s**5 + 11567525*s**2 wrt s? 312838800*s**2 Differentiate -6209120*m**4*s**2 - m**2*s**3 - 4681*s**3 - 2*s**2 + s - 36 wrt m. -24836480*m**3*s**2 - 2*m*s**3 What is the second derivative of 10658*p**4 + 185*p**3 - 2*p**2 + p + 167308407? 127896*p**2 + 1110*p - 4 What is the third derivative of 769493247*b**3*c**3 - 3*b**2*c**2 + 2*b*c**3 - 5*b*c**2 - 5*c**2 - 4576*c - 33 wrt b? 4616959482*c**3 Differentiate 4*g**3 + 1699028*g**2 + 113439611 wrt g. 12*g**2 + 3398056*g Find the first derivative of -2*m*o + 160942032*m - 202208223*o wrt o. -2*m - 202208223 Find the third derivative of 2793631*w**4 + 24*w**3 + 246*w**2 + 5*w + 4264. 67047144*w + 144 Find the second derivative of -361706069*v**2 + 336892586*v. -723412138 Find the second derivative of -d*j**2 + 47338*d*j - 32*d - 8634430*j**4 - 10*j wrt j. -2*d - 103613160*j**2 What is the second derivative of 25*x*z**3 + 41486*x*z**2 + 144*x*z - 6797*x - 2*z**3 wrt z? 150*x*z + 82972*x - 12*z What is the third derivative of -5793*m**6 - 1941*m**4 - m**3 - 3*m**2 - 2*m + 266170 wrt m? -695160*m**3 - 46584*m - 6 What is the first derivative of -928513561*h**3*m**2 - h**3 - 391855735*m**2 wrt h? -2785540683*h**2*m**2 - 3*h**2 What is the second derivative of -122497073*d**2 + 109*d + 86922 wrt d? -244994146 What is the third derivative of -832385593*z**4 - 19353656*z**2 - 5 wrt z? -19977254232*z Differentiate 599146656*h*r + 2*r + 1069461208 wrt h. 599146656*r What is the second derivative of 11*d**2*v**2 - 1549*d**2*v + 2687*d**2 - 777943973*d*v**2 wrt d? 22*v**2 - 3098*v + 5374 Differentiate -46120155*c + 57842717. -46120155 Find the first derivative of -15*b*r**3 - 20*b*r - 2064*b + 3*r**3 - 2*r**2 + 2*r + 22179 wrt b. -15*r**3 - 20*r - 2064 Differentiate -531*b*l**2 + 2511204*b + 24691*l**3 + 34 wrt l. -1062*b*l + 74073*l**2 Find the second derivative of -199*j**3 + 138885*j**2 + 118867176*j wrt j. -1194*j + 277770 What is the second derivative of 11413956*u**5 - 4843538*u? 228279120*u**3 What is the third derivative of 10970995*v**3*y**2 + v**3*y + 3*v**2*y**2 - 2*v**2*y + 251*v*y**2 + 6*v*y + 132 wrt v? 65825970*y**2 + 6*y Find the second derivative of 2*n**2*x + 57646036*n**2 - 95586*n*x - 118*x - 1 wrt n. 4*x + 115292072 Find the second derivative of -469884934*m**2*q + 26*m*q - 474*m - 2*q + 593 wrt m. -939769868*q Differentiate 89*k**2 - 52012*k*y**2 + 211045177*y**2 with respect to k. 178*k - 52012*y**2 Differentiate -588544*y**3 - 3*y**2 - 6*y + 33908117 with respect to y. -1765632*y**2 - 6*y - 6 Find the second derivative of 22188164*k**4 + 3078281*k. 266257968*k**2 What is the first derivative of 58600858*y**2 + 4*y + 363148639? 117201716*y + 4 What is the second derivative of 19999518*n**3*r**2 + n**3*r + n**2 - 4*n*r**2 - 216*r**2 + 3894 wrt n? 119997108*n*r**2 + 6*n*r + 2 Differentiate g*r + 3975540*g - 9200679*r wrt g. r + 3975540 What is the first derivative of -771829226*r - 681412746 wrt r? -771829226 Find the third derivative of 281*a**4*v + 974*a**4 - a**3*v + 3*a**2*v + 6313*a*v + 60*v wrt a. 6744*a*v + 23376*a - 6*v Find the second derivative of -75*w**2*y**4 - 229118*w**2*y**2 + 58*w**2*y + 14*w**2 + w*y + 846*w + 1 wrt y. -900*w**2*y**2 - 458236*w**2 Find the second derivative of 793067*m*u**2 + 11*m*u - 8*m + u**2 + 11*u - 386 wrt u. 1586134*m + 2 Find the third derivative of 4*j**5*l**3 - 20623142*j**3*l - 505546*j**2*l**2 - 272*j*l**3 wrt j. 240*j**2*l**3 - 123738852*l Find the first derivative of -3*f*h**2 - 54209*f + 61655*h**2 + 18 wrt h. -6*f*h + 123310*h What is the third derivative of 1389601*n**4 - 3*n**3 + 2*n**2 + 4506111*n? 33350424*n - 18 What is the first derivative of 329890*m*t**2 - 25*m*t + 286*t**2 + 25*t + 70 wrt m? 329890*t**2 - 25*t What is the third derivative of -103020555*a*m**4*y + 63*a*m**2*y + 50*a*m*y + 12*a*m + a + 41*y wrt m? -2472493320*a*m*y What is the second derivative of -125763*m**4 - 288*m**2 - 392221283*m wrt m? -1509156*m**2 - 576 What is the first derivative of -o**4 + 15*o**2 + 1891251*o - 30407972 wrt o? -4*o**3 + 30*o + 1891251 Find the first derivative of 5597681*z**3 + 406342012 wrt z. 16793043*z**2 What is the second derivative of 90070195*q**2 - 100341547*q? 180140390 What is the second derivative of -f**2*o**2 - 2*f**2*o + 30635*f**2 + 52093*f*o**2 - 10*f*o - 336*o**2 + 2*o wrt o? -2*f**2 + 104186*f - 672 What is the first derivative of 4988*a**2 - 15854*a - 955410851? 9976*a - 15854 Find the second derivative of -94682450*b**2*d**2 + 3225036*b*d**2 wrt b. -189364900*d**2 What is the first derivative of 12825884*d**3*g + 25*d**3 + 13*d - 149 wrt g? 12825884*d**3 Find the second derivative of -78341563*i**2 + 37745277*i. -156683126 What is the second derivative of 70*x**3 + 434*x**2 + 6850*x + 276 wrt x? 420*x + 868 Find the second derivative of 184*b**4 + 6246*b**2 - 1439085*b. 2208*b**2 + 12492 Differentiate 5*d**4*h + 1194*d**4 - 1146*d**2 - 329*h + 44174 wrt d. 20*d**3*h + 4776*d**3 - 2292*d Find the first derivative of 1186248*b**3 + 10195107 wrt b. 3558744*b**2 What is the third derivative of -632418365*n**6 + 522133768*n**2? -75890203800*n**3 Find the third derivative of 25202282*f**3 + 301*f**2 + f + 5323 wrt f. 151213692 Find the second derivative of -430*o**2*u**2 + 3*o**2*u - 31*o**2 + 2*o*u**2 + 68*o*u - 6*o - 7*u**2 - 581*u wrt o. -860*u**2 + 6*u - 62 What is the third derivative of 3853*i**3*r**3*y - 2*i**3*r*y - 1430*i**3*y**2 - 19*i**2*r**2*y - 9*i*y**2 - 4889*r**3*y**2 wrt r? 23118*i**3*y - 29334*y**2 Find the third derivative of -13866*f**4*j - 1628*f**3*j**3 - 6*f**2*j**3 - 185*f**2*j**2 - 2*f*j**3 - 2*f*j**2 - 2*f - 123*j**2 wrt f. -332784*f*j - 9768*j**3 Differentiate -8*i*j**2 - 9465573*i - 336407*j**3 wrt j. -16*i*j - 1009221*j**2 Find the first derivative of 3*l**2*q**2 + 18*l**2*s - 543499*l*q**2*s - 2*l*s - 4*q**2 + 721522*q wrt s. 18*l**2 - 543499*l*q**2 - 2*l What is the derivative of 1007625647*n**3 + 427840248 wrt n? 3022876941*n**2 Find the second derivative of -109056280*a**5 - 87496265*a wrt a. -2181125600*a**3 What is the derivative of 10*b**2*v*x - 863*b**2 - b*v*x + 11*b - 4*v*x - 6*x - 302779 wrt b? 20*b*v*x - 1726*b - v*x + 11 What is the second
{ "pile_set_name": "DM Mathematics" }
*2 + 2*l**2 - 6*l**2). 30591*l**4 Expand (1 + 1 + 0)*(o - 3*o + 3*o)*(0 + 0 + 2 + (3 - 2 - 2)*(2 - 2 + 2) - 4 + 7 - 1 - 5 + 2 + 5) - 5*o + 3*o + 0*o + (-1 - 14 + 5)*(-144 + 26*o + 144). -254*o Expand (5 + 0 - 1)*(1 + 0 - 14)*(23*t + 7*t - 6*t + 21*t). -2340*t Expand (196 + 896 - 33 + 312)*(-7*o + 2*o + 7*o). 2742*o Expand 204*t**4 + 76*t**5 - 204*t**4 + (2*t**2 - 4*t**2 + 3*t**2)*(-5*t**3 + 13*t**3 + 7*t**3) - 4*t - 2*t**5 + 4*t. 89*t**5 Expand (-24 - 21 + 12)*(48*a + 62*a - 90*a). -660*a Expand -1593*x - 2226*x + 424*x - 1856*x - x + x - 3*x + (-2*x - x + 2*x)*(3 - 2 - 2). -5253*x Expand 28*b - 4*b - 2*b + 0*b + 5*b - 3*b + 2 - 2 + 2*b + (2*b - 3*b + 0*b)*(-2 + 1 + 0) + 5*b - b + 24*b - 5*b + 5*b - 2*b. 53*b Expand -8*u + 8 - 8 + (4 - 4 + u)*(-1319 - 152 + 399). -1080*u Expand (0*f**4 + 0*f**4 - 2*f**5)*(3 - 2 + 1) + (4*f + f**4 - 4*f)*(3*f - 2*f + 2*f) - 4*f**2 - 36*f**3 + 36*f**3 - 2*f**5 + f + 754*f**4 - 754*f**4 + 71*f**5. 68*f**5 - 4*f**2 + f Expand (2*v**2 + 0*v**2 + 0*v**2)*(0 + 0 + 5*v + v - 4 + 4 - 4 + 4 - 5*v - 5*v + 2*v + 2*v + (0 + 1 - 3)*(3 - 3 - 2*v)). 8*v**3 Expand -6*q**3 + 2*q**2 - 100*q - 136035 + 136035 + (0 - 2*q**3 + 0)*(0 - 6 + 4). -2*q**3 + 2*q**2 - 100*q Expand (h - 1 + 1)*(4*h - 3*h + 2*h + (49*h + 9*h + 5*h)*(-2 + 2 + 1) + 0*h + 7*h - 3*h). 70*h**2 Expand (0 - 3 + 1)*(850*f + 9201 - 9201)*(3*f**2 - 2*f**2 - 4*f**2). 5100*f**3 Expand (-30*k**2 + 30*k**2 - 4*k**3)*((0 - 3 + 0)*(0*k - k - k) + 1 - 1 - 4*k + (-k - 4 + 4)*(1 + 1 - 3) + 10*k - 8*k - 4*k). -4*k**4 Expand (-14*m + 1 - 2 + 17*m + (-4 + 2*m + 4)*(1 - 1 - 2))*(185 + 265 - 1008). 558*m + 558 Expand (s**3 - 5*s**3 + 2*s**3)*(5*s**2 - s**2 + 9*s**2) - 34*s**2 + 23*s**2 - 2*s**5 + 22*s**2. -28*s**5 + 11*s**2 Expand -4*d**3 - 2 + 49*d**3 - 23*d**3 + 2*d**3 + (1 + 2*d - 1)*(-d**2 + 0*d**2 - 4*d**2). 14*d**3 - 2 Expand ((5 + 9 - 4)*(3 + 1 + 1) + 2 + 4 - 4)*(1 - 1 + q)*(3 + 5 + 9). 884*q Expand (11*x - 47*x + 0*x)*(x**2 - 2 + 2)*(-3*x + 10 - 10)*(-8 - 11 + 4). -1620*x**4 Expand (-15 + 15 - 9*d)*(457 + 227 + 355 - 380). -5931*d Expand (-s - 2*s + s)*(-4*s + 9*s + 24 - 3*s) + (-3005 + 3005 + 77*s)*(0*s + 0*s + s). 73*s**2 - 48*s Expand (-12 - 2 + 30 + 5 + 19)*(-67 + 29*a + 67). 1160*a Expand (2*i - 5*i + 0*i + (i - i - i)*(-1 + 3 + 0) + i + 2*i - i)*(43 - 494 + 74)*(5 + 1 - 4). 2262*i Expand (0*r + 0*r - 2*r)*(5 - 1 - 5) + (r - 5*r + 2*r)*(-3 + 3 - 2) + (5 + 0 + 0)*(-2*r + 0*r + 0*r) + 130*r + 48*r - 34*r. 140*r Expand (-6 + 2 + 2)*(-69 + 69 + 82*z)*(0 - 3 - 1) + (-5 + z + 5)*(4 - 3 + 0) + z - 4*z + 5*z. 659*z Expand (4 - 3 + 10)*(6329*w**2 - 681*w**3 - 6329*w**2). -7491*w**3 Expand (0*u + 6*u - 3*u)*(-6 + 2 + 3)*(-37*u**3 - 319*u + 319*u). 111*u**4 Expand ((0 + m + 0)*(-1 + 0 + 4) + (6 - 3 - 1)*(3*m - 3*m - 2*m))*(847*m + 929*m - 1848*m)*(3*m - 4*m + 0*m). -72*m**3 Expand (2*z + 3*z - 3*z)*(1 - 5 + 3)*(-2412 - 988 - 1232). 9264*z Expand 4*d - 4*d - d + (1 - 5 + 3)*(-5 + 2*d + 5) + 1 - 1 + d + (-101 + 22 + 0)*(-4*d + d + 0*d). 235*d Expand (2*y - y - 3*y)*((-2 + 3 + 0)*(2*y + 21*y - 7*y) + 73*y - 645 + 645). -178*y**2 Expand ((0*z**4 + 0*z**4 + 3*z**4)*(z - 4*z + z) - 9*z**5 + 5*z**5 - z**5)*(25 + 50 - 24). -561*z**5 Expand -11 - 44 - 1413*z**2 + 26 + 29 + (-1 + 0 + 0)*(-3*z**2 + 2*z**2 - 4*z**2). -1408*z**2 Expand 2*u**4 - u**4 + 2*u**4 + (-u**3 - 2*u**3 + 5*u**3)*(-4*u + 3*u + 3*u) + (0*u + 0*u - 2*u)*(-11485*u**3 + 6157*u**3 + 8758*u**3). -6853*u**4 Expand (-5*s**3 - 19*s**3 - 4*s**3)*(0*s + 0*s + 2*s**2) + s**5 + 2*s**5 - 5*s**5 - 3*s**3 - 3*s**5 + 7*s**5 + s**3. -54*s**5 - 2*s**3 Expand (257 + 2*k - 257 - 147*k**2 + 2*k**2 + 2*k**2 - 2*k**2 + (4 - 3 + 1)*(k**2 + 0*k**2 - 3*k**2) + 0*k**2 - 2*k**2 + 0*k**2)*(k - 3 + 6 + 3). -151*k**3 - 904*k**2 + 12*k Expand (2*l**2 - 4 + 4)*((-160*l + 82*l + 80*l + 33)*(1 + 8 - 2) - 4*l - l + l - l + 0*l + 2*l + (2 + 0 + 0)*(4 - 4 + l)). 26*l**3 + 462*l**2 Expand (2079 - 9*r - 3*r**2 - 2079)*(18 + r - 18)*(-2*r**2 - r**2 - r**2). 12*r**5 + 36*r**4 Expand (2*l - 1 + 1)*(1 + 4 - 2) - 3*l - 8500 + 8569 - 9*l. -6*l + 69 Expand (0 + 1 - 2)*(-24 + 1 - 30)*(-3*x - 15*x + 6*x). -636*x Expand -34*i + 13*i**3 - 11*i**3 + 118*i + 3*i - i + 0*i - i**3 + (137 - 137 + 18*i)*(4*i**2 - 6*i**2 + 3*i**2). 19*i**3 + 86*i Expand ((-9*z**3 + 0*z**3 + 8*z**3)*(1 - 3 + 3) - 3*z**2 - 2*z**3 + 3*z**2)*(2*z - 3*z - 3*z)*(-9 + 0 - 1). -120*z**4 Expand (-1 + 3 - 3)*(7 + 3 + 7)*(22*g**2 + g + 45*g**2 - 63*g**2 + 2). -68*g**2 - 17*g - 34 Expand (10 + 1 - 2)*(-s - s + 0*s) + 3*s - 4*s + 24*s. 5*s Expand (4*h + h - 3*h)*(-h**2 - 1 + 1) + (-4*h**2 + 0 + 1 + 3*h**2)*(67*h + 902*h + 38*h). -1009*h**3 + 1007*h Expand (23 - 18 - 16)*(-4*w + 3*w + 0*w + (0*w + w + w)*(1 - 4 + 2) - 27*w - 10*w + 4*w)*(w + 1 - 1). 396*w**2 Expand (1973 + 1981 - 4052)*(7 - 7 - 2*t**2). 196*t**2 Expand (57 + 38 + 48 - 22)*(2*k**2 - 21*k**2 + k**2). -2178*k**2 Expand 0*a**2 - a**2 + 0*a**2 + (2*a + 0 + 0 + (6 + 0 - 3)*(3 - 4*a - 3))*(1122*a - 1633 + 1633). -11221*a**2 Expand (d**2 + d - d)*(-2 + 1 + 2 + (1 + 4 - 3)*(0 + 2 - 3) + 0 - 1 + 2 - 9 + 3 + 2)*(-342*d - 212*d - 82*d). 2544*d**3 Expand (-4*j**3 - j**3 - j**3)*(-1448*j**2 - 856*j**2 + 194*j**2). 12660*j**5 Expand (-m - 2*m + 5*m)*(-3 - 1 + 3) + 46*m - 14 - 4 + 16. 44*m - 2 Expand 10*a**2 + 3*a**2 - 2*a**2 + (-1 - 1 + 5)*(-12*a**2 - 26 + 26) - 4*a**2 + 4*a**2 + a**2. -24*a**2 Expand (13*a**2 - 6*a**2 - 55*a**2)*(0*a**3 + 5*a**3 - 4*a**3) - 91*a**5 + 26*a**3 - 26*a**3. -139*a**5 Expand (-j**2 + 14*j**2 + 3*j**2)*(-147 - 286 - 28 + 4 - 1 - 2 + (3 - 4 - 1)*(-2 + 7 - 3) + 1 - 1 + 2). -7392*j**2 Expand 99024 - 99024 - 777*w + 0*w - 4*w + 2*w + (-2 - 2 + 1)*(-5*w - 1 + 1). -764*w Expand (-6*j**3 + 4114 - 4378 + j**3)*(3 + 3 - 4)*(-5 - 5 + 2). 80*j**3 + 4224 Expand ((2*c**2 - c**2 + c**2)*(-1 + 0 + 3) - 4*c + 4*c + c**2 + (-291*c - 556*c - 234*c)*(2*c + 5*c - 3*c))*(0*c**2 + 4*c**2 - 3*c**2). -4319*c**4 Expand ((-g - 1 + 1)*(2 + g - 2) + g**2 - 3*g**2 + 5*g**2 + 3*g**2 - 10*g**2 - g**2 + (0 + 0 - g)*(2*g - 2*g - 2*g))*(-g**2 + 3*g**2 - 3*g**2)*(2 + 15 - 1). 64*g**4 Expand (2 - 2 - 2*n**2)*((11*n + 4*n**3 - 11*n)*(3 - 1 - 4) + (3*n**2 + n**2 - 2*n**2)*(-3*n + 0*n + 5*n)) + 1729*n**5 - 824*n**5 - 825*n**5. 88*n**5 Expand (-w + 2*w + 0*w)*(-2*w**2 - 4*w + 4*w) + 14*w - w**3 - 14*w + (-3*w + 3 - 3)*(4*w + 0*w + 0*w)*(-3 - 40 - 22)*(-5 - 2 + 5)*(3 - 4 + 3)*(-w - 2*w + 4*w). -3123*w**3 Expand (-1 - 1 + 0)*(-4221*k**5 + 132835 - 132835). 8442*k**5 Expand (-19127*u**3 + 3 + 38188*u**3 - 19139*u**3)*(1 + 1 - 4). 156*u**3 - 6 Expand (n - n + 2*n)*(173*n + 146*n - 517*n)*(1 + 3 - 2). -792*n**2 Expand (4*c**4 + 16*c**4 + 17*c**4)*(0 - 2 + 0)*(-3 + 9 + 6). -888*c**4 Expand z - 4 + 4 + (-3 + 3 + z)*(-3 + 0 + 4)*(-3345 - 4468 + 33)*(3 - 3 + 2). -15559*z Expand (-16 + 2 + 12 - 8*p**4)*(-5116*p + 2719*p + 2862*p). -3720*p**5 - 930*p Expand (26 + 20 - 20)*(1 + 5 - 4)*(18 - 18 + 5*t) - 3*t + 34*t - 7*t. 284*t Expand (-5*n + 2*n + n)*(n + 0*n - 3*n) + 2 - n**2 - 2 - 51613 + 103230 + 199*n**2 - 51609. 202*n**2 + 8 Expand 0 + o + 0 + (-3 - 4 + 0)*(-1480 - 54*o + 1480). 379*o Expand (2*k**2 - 3*k**2 - k**2)*(-473 - 618 + 319). 1544*k**2 Expand 6*x**3 + 499*x**3 - 279*x**3 + 5 - 5 + 3*x**3 + (-1 + 1 + 2*x)*(3 - 3 - 3*x**2) + 2*x**3 + x**3 - 5*x**3. 221*x**3 Expand 3*i**5 - 3*i**5 - i**5 + (3*i**5 + 0*i**5 - 5*i**5)*(-5 + 1 + 3) + 88*i**5 + 101*i - 101*i - 25*i**4 + 3*i**2 + 25*i**4 - 2*i**5. 87*i**5 + 3*i**2 Expand (-2 + 9 - 3)*(-v**4 - 1 + 1) + 0*v**4 - 39*v**4 - 16*v**4 + 5*v**4 - 6*v**4 + 3*v**4. -57*v**4 Expand (-2 - 2*h**2 + 2)*(541 + 160 - 76). -1250*h**2 Expand 3*r**3 - 2*r**3 + 0*r**3 + (-7 + 2 - 16*r + 3)*(-1267 + 82*r**2 + 1267). -1311*r**3 - 164*r**2 Expand -d**2 + 0*d**2 - d**2 + 2 - 2 + 3*d**2 - 78*d**2 - 2*d**2 - 43*d**2 + (-d + 0*d + 4*d)*(2 - 2 - 2*d). -128*d**2 Expand (3*j - 3 + 3)*(-2*j + 1 - 1) + 192*j**2 + 281*j - 191*j**2 - 17*j + 1. -5*j**2 + 264*j + 1 Expand (0 + b**2 + 0)*(-111 + 1219*b - 1220*b - 148). -b**3 - 259*b**2 Expand (-215*y**2 - 27*y**2 - 92*y**2 - 141*y**2 + 87*y**2)*(-78*y + 22*y - 14*y). 27160*y**3 Expand (4*s**2 - 5*s**2 + 3*s**2 + (s**2 + s**2 + 0*s**2)*(-18 - 33 + 41))*(-2 + 2 + 2 + s). -18*s**3 - 36*s**2 Expand 497*s + 3*s**2 - 497*s + (3*s - 5*s + 4*s)*(7*s - s - s) - 6*s**2 + s**2 + 2*s**2. 10*s**2 Expand 10709*k**2 +
{ "pile_set_name": "DM Mathematics" }
j + 45/2*j**b - 75/4*j**3 + 0. -3*j*(5*j - 3)**2/4 Let a(x) be the second derivative of -x**5/4 - 25*x**4/3 + 5*x**3/6 + 50*x**2 + 115*x. What is u in a(u) = 0? -20, -1, 1 Let c = 41 + -19. Suppose -4*t + c = 2*h, 12 + 7 = h + 4*t. Factor 2/3*y**h + 10/9*y**2 + 0 + 4/9*y. 2*y*(y + 1)*(3*y + 2)/9 Let u(t) = t**4 + 63*t**3 + 960*t**2 - 1030*t + 6. Let i(w) = -2*w + 2. Let l(k) = -15*i(k) + 5*u(k). Suppose l(a) = 0. What is a? -32, 0, 1 Let j be 2/(-11) + (-114)/(-22). Suppose 0 = -5*b + d + 48, -31 = -4*b + d + 7. Factor b*x - 19*x**2 + 20*x**3 + 2*x**j - 10*x**4 + 1 - 3 - x**2. 2*(x - 1)**5 Let r = 391445 - 3518873/9. Let j = r - 458. Factor 20/9*q**3 - 2/9 + 10/9*q - 20/9*q**2 - j*q**4 + 2/9*q**5. 2*(q - 1)**5/9 Let h(a) be the first derivative of 16*a + 4*a**5 - 12*a**3 + 3*a**4 - 23 + 20 - 11*a**4 + 16*a**2. Solve h(s) = 0. -1, -2/5, 1, 2 Let o(b) be the first derivative of -2*b**5/35 + b**4/7 + 2*b**3/21 - 2*b**2/7 + 282. Solve o(u) = 0. -1, 0, 1, 2 Factor 60*w + 14791*w**4 + 924*w**2 - 640*w**3 - 14683*w**4 + 12*w. 4*w*(w - 3)**2*(27*w + 2) Let h(j) = -7*j**3 - 3*j + 10. Suppose 137 + 186 = 19*u. Let d(t) = -20*t**3 + t**2 - 10*t + 29. Let b(w) = u*h(w) - 6*d(w). Factor b(r). (r - 4)*(r - 1)**2 Let s(x) = 3*x + 45*x**3 + 3*x + 7 + 5*x - 18 + 4*x**4. Let b(g) = g**4 + 9*g**3 + 2*g - 2. Let i(w) = 11*b(w) - 2*s(w). Solve i(c) = 0. -3, 0 Suppose 124 = -12*p + 43*p. Let a(y) be the third derivative of -1/48*y**p + 0 + 0*y - 1/240*y**5 - 1/24*y**3 - 7*y**2. Factor a(f). -(f + 1)**2/4 Suppose 3*b + 14 = 5*b. Factor -4*m**2 - 55*m - m**2 - 8 + 75 - b. -5*(m - 1)*(m + 12) Let l be (15/9)/(2/(32/200)). Let g(w) be the second derivative of 1/6*w**4 + 0*w**2 + 2/25*w**5 - 6*w + l*w**3 + 0 + 1/75*w**6. Find p, given that g(p) = 0. -2, -1, 0 Let w(o) be the first derivative of o**4 - 148*o**3/3 + 142*o**2 - 140*o - 260. Factor w(t). 4*(t - 35)*(t - 1)**2 Suppose 3*l + 33 = 3*v, l + 0*l + 25 = 3*v. Suppose -z - v*z = -16. Suppose -2*i**4 + 0 + 0*i - z*i**3 - 2/3*i**5 - 2/3*i**2 = 0. Calculate i. -1, 0 Let q = 121/120 - 5/24. Factor -2/5*i**2 - q*i + 6/5. -2*(i - 1)*(i + 3)/5 Let h be 2 + (-2688)/(-147) - 16. Let u be (-2)/(-56) - 3/(-12). What is i in -2*i**2 + u*i**3 - 18/7 + h*i = 0? 1, 3 Suppose -3*d - 7*d = -20. Let k be -9*(8/12 - 1). Solve 4/7*t + 0 - 2/7*t**d - 6/7*t**k = 0. -1, 0, 2/3 Let k(c) be the first derivative of 7 - 27/2*c**2 + 12*c - c**3. Let b(u) = -2*u**2 - 14*u + 6. Let r(h) = 9*b(h) - 5*k(h). Factor r(g). -3*(g - 2)*(g - 1) Let n(j) be the third derivative of j**5/75 - j**4/120 - 74*j**2. Solve n(q) = 0. 0, 1/4 Let w be -3 - -58*1/18. Let o = 40 - 118/3. Factor 0 - w*p**2 + o*p. -2*p*(p - 3)/9 Let d = 75 + -28. Factor 3*t**3 + d*t - 3*t**4 + 6*t**2 - 3*t**2 - 50*t. -3*t*(t - 1)**2*(t + 1) Let u(b) = 3*b**3 - 17*b**2 - 18*b. Let s(x) = -20*x**3 + 120*x**2 + 125*x. Let d(c) = -2*s(c) - 15*u(c). Factor d(m). -5*m*(m - 4)*(m + 1) Let j be 150/140*168/120. Factor -j*s**2 - 30*s - 150. -3*(s + 10)**2/2 Suppose r = 5*t - 156, 0*t - 148 = -4*t - 5*r. Solve 92*x**3 + 4 + 28 - 32*x**5 - t*x**4 - 16*x**3 - 112*x + 56*x**2 + 12*x**5 = 0 for x. -2, 2/5, 1 Suppose 36*x**2 - 2*x**3 - 14*x + 0*x**3 - 7*x**3 + 6*x**3 - 46*x = 0. Calculate x. 0, 2, 10 Let s be (-28)/(-21)*-1*(-3)/(-2). Let l be (s + 2)/(18 - 14). Factor -2/3*w**2 - 2/3*w**4 + 0 + l*w - 4/3*w**3. -2*w**2*(w + 1)**2/3 Let d(r) be the third derivative of -r**7/420 + r**5/60 + 7*r**3/6 + 18*r**2. Let m(s) be the first derivative of d(s). Factor m(k). -2*k*(k - 1)*(k + 1) Let m be (42/(-12))/7*4/(-82). Let b = m - -75/287. Solve 4/7*r**3 - 2/7*r**5 + 4/7*r**2 - 2/7*r**4 - b*r - 2/7 = 0 for r. -1, 1 Suppose -2 - 4 = -3*o - t, -8 = -4*o - 3*t. Suppose 2*d + 3*d + 10 = 0, o*p + 2*d = 2. Factor -3*x + 5*x**3 - 3*x**4 - 3*x + x**p + 3. -3*(x - 1)**3*(x + 1) Factor 0*i + i**4 - 22*i**3 - 10*i**3 - 45*i**2 + 0*i + 36*i**3. i**2*(i - 5)*(i + 9) Let 1/7*z**2 + 160/7*z + 6400/7 = 0. Calculate z. -80 Solve 74*m - 26*m**3 - m**4 - 75 + 48*m + 546*m**2 - 566*m**2 = 0 for m. -25, -3, 1 Let d(z) be the third derivative of 0 + 0*z + 25/1176*z**8 - 1/12*z**4 - 13/147*z**7 + 1/105*z**5 - 1/21*z**3 - 14*z**2 + 23/210*z**6. Factor d(n). 2*(n - 1)**3*(5*n + 1)**2/7 Suppose -f + 4*n - 4 = 0, 4*f - 8 = -2*n + 30. Suppose 2*c + p = 4*c - f, 10 = -c - 3*p. Determine j, given that 8/7*j - 16/7 - 1/7*j**c = 0. 4 Factor 0*h + 2/15*h**4 + 0 + 0*h**2 - 4/15*h**3. 2*h**3*(h - 2)/15 Let t = 37 - 19. Factor -4*k**3 + t*k**2 + 17*k**2 - 31*k**2. -4*k**2*(k - 1) Let p(a) be the first derivative of 0*a + 3*a**3 - 3*a**2 - 3/4*a**4 + 2. Factor p(i). -3*i*(i - 2)*(i - 1) Let h(t) be the second derivative of 0 - 3/4*t**2 - 13*t - 5/24*t**4 - 1/40*t**5 - 7/12*t**3. Factor h(c). -(c + 1)**2*(c + 3)/2 Let n(c) be the second derivative of -c**6/75 + c**5/25 + 2*c**4/15 - 2*c**3/15 - 3*c**2/5 - 15*c + 11. Determine s, given that n(s) = 0. -1, 1, 3 Let y(i) = -11*i**2 - 6*i. Suppose b + 2*a + 6 = 0, -3*a = 3*b + 2*a + 18. Let q(j) = -45*j**2 - 25*j. Let k(p) = b*q(p) + 25*y(p). Factor k(f). -5*f**2 Let i(v) = -4*v**2 - 5*v - 3. Let h(b) = -8*b**2 - 11*b - 5. Let p(w) = 3*w - 6. Let u be p(3). Let s(g) = u*h(g) - 5*i(g). Factor s(r). -4*r*(r + 2) Let r(u) be the first derivative of u**4/14 - 2*u**3/7 - 6*u**2/7 + 16*u/7 + 31. Let r(m) = 0. Calculate m. -2, 1, 4 Let x = -49/6 + 269/30. Let s(q) be the second derivative of 11/15*q**6 + 4*q - 2/3*q**4 + 1/7*q**7 + x*q**5 + 0 + 0*q**3 + 0*q**2. Factor s(z). 2*z**2*(z + 2)**2*(3*z - 1) Let r = -150992/945 - -4132/27. Let k = r - -50/7. Factor -2/5*y + k*y**2 + 0. 2*y*(y - 1)/5 Let z = -1035/182 - -99/14. Let z + 30/13*p + 14/13*p**2 + 2/13*p**3 = 0. Calculate p. -3, -1 Suppose -10*b - 8 = -28. Suppose -5*w**2 + 2*w**2 - 10*w - 8 + 18*w + w**b = 0. What is w? 2 Let j = 700 + -697. Let v(r) be the second derivative of -7*r + 14/3*r**j + 1/5*r**5 - 6*r**2 - 5/3*r**4 + 0. Factor v(d). 4*(d - 3)*(d - 1)**2 Let g(n) = n**3 + 6*n**2 - 9*n + 1. Let r be g(-7). Factor 20*s**2 - r*s + 528*s**4 - 516*s**3 + 199*s**2 + s - 28*s - 192*s**5 + 3. -3*(s - 1)**2*(4*s - 1)**3 Let y = -2/1101 + 1111/5505. Let f(k) be the second derivative of 1/20*k**4 + y*k**3 + 3/10*k**2 + 7*k + 0. Solve f(q) = 0 for q. -1 Solve -46/11*o - 2/11*o**3 - 2/11*o**4 + 20/11 + 30/11*o**2 = 0. -5, 1, 2 Let l(q) = -2*q**3 - q - 1. Let u(a) = -a**3 + 40*a**2 - 65*a + 10. Let g(x) = 12*l(x) - 3*u(x). Factor g(c). -3*(c - 1)*(c + 7)*(7*c - 2) Let l be (14/2793*21)/((-1)/(-19)). Solve -1/7*g**l + 1/7*g**3 + 1/7 - 1/7*g = 0. -1, 1 Let h(m) be the first derivative of m**4 - 64*m**3/3 - 34*m**2 - 678. Factor h(o). 4*o*(o - 17)*(o + 1) Solve 116/7*q - 12/7*q**4 + 16/7 + 10/7*q**3 + 122/7*q**2 = 0 for q. -2, -1, -1/6, 4 Let x(b) = 8*b + 47. Let l be x(-12). Let h = l - -51. Factor 64/7*g + 32/7 + 48/7*g**h + 16/7*g**3 + 2/7*g**4. 2*(g + 2)**4/7 Let k(g) be the third derivative of -7/4*g**5 - 2*g**3 + 0*g + 0 + 11*g**2 + 5/16*g**6 + 11/4*g**4. Factor k(s). 3*(s - 2)*(5*s - 2)**2/2 Let j(v) be the first derivative of v**5/15 + 7*v**4/12 + 2*v**3 - 3*v**2/2 + 6*v - 8. Let h(x) be the second derivative of j(x). Find f such that h(f) = 0. -2, -3/2 Let n(q) = 2*q**4 + 10*q**3 + 20*q**2 + 16*q + 6. Let b(g) = g**2 + g + 1. Let k(w) = -2*b(w) + n(w). Factor k(j). 2*(j + 1)**3*(j + 2) Let x(q) = -q**3 + 12*q**2 - 12*q + 13. Let i be x(11). Let 25 - 95*k + 69*k**3 + 29 + 15*k**4 - 58*k + 15*k**i = 0. Calculate k. -3, 2/5, 1 Factor 64*f**2 + 5 - 15*f - 16*f**4 - 3 - 4*f**5 + 79*f - 2. -4*f*(f - 2)*(f + 2)**3 Let q(r) = -4*r**4 - 54*r**3 - 171*r**2 + 126*r + 88. Let b(i) = -2*i**4 - 27*i**3 - 86*i**2 + 63*i + 43. Let k(l) = 5*b(l) - 3*q(l). Factor k(y). (y - 1)*(y + 7)**2*(2*y + 1) Let d(y) be the third derivative of -2/105*y**7 + 0*y**4 + 0*y**3 + 0*y**6 + 0*y + 0 + 0*y**5 - 22*y**2. Factor d(h). -4*h**4 Factor 0 + 2/13*f**4 - 20/13*f + 12/13*f**3 + 6/13*f**2. 2*f*(f - 1)*(f + 2)*(f + 5)/13 Suppose -66 = -2*o - o. Suppose 22*g**2 + g**3 - 48*g + o*g**2 + 4*g**5 - 5*g**3 - 12*g**4 + 16 = 0. What is g? -2, 1, 2 Let z be (-60)/39*(472/40 - 12). Let 14/13*l**4 - 6/13*l**3 - 14/13*l**2 + 10/13*l**5 - z*l + 0 = 0. What is l? -1, -2/5, 0, 1 Let f(r) = -r**3 + 43*r**2 - 153*r - 117. Let d be f(39). Factor -3/4*w**4 + d - 9/2*w**3 - 6*w - 9*w**2. -3*w*(
{ "pile_set_name": "DM Mathematics" }
late the remainder when w is divided by 5. 4 Suppose -5 = w + 2*s - 116, -4*w = -s - 426. Calculate the remainder when w is divided by 27. 26 Let p be -28 + -3 + (-1 - 2). Let u = p + 55. What is the remainder when 33 is divided by u? 12 Suppose -2*s + 3*o - 2*o = -34, -5*s = 5*o - 85. Suppose s*v - 156 = 11*v. What is the remainder when v is divided by 14? 12 Suppose -4*f + 141 = 25. Let l(y) = 8*y - 485. Calculate the remainder when f is divided by l(62). 7 Suppose 4*y = -3*j + 33, -j = -4*y - 24 + 45. Let k = 50 - 29. Calculate the remainder when k is divided by y. 3 Let d(n) = n**2 + 11*n + 26. Let u be d(-6). Calculate the remainder when 39 is divided by (-20)/u - 9/(-3). 7 Suppose 24 = 2*g + 2*g + 4*l, -5*g - 3*l + 32 = 0. Suppose -g*z - 4*z = -143. Calculate the remainder when 75 is divided by z. 10 What is the remainder when 53 is divided by (-10 + 352/40)*-15? 17 Let r(d) = -3*d - 2. Let u(c) = -2*c**3 + 38*c**2 - 33*c - 51. Calculate the remainder when r(-2) is divided by u(18). 1 Suppose -36*i - 3*i = -936. What is the remainder when i is divided by 8? 0 Suppose -37 = -4*x + 27. Suppose 4*q = -0*q. Let n = x - q. Calculate the remainder when 63 is divided by n. 15 Let c = -172 + 194. Suppose -2*j + 5*s = j - 21, 3*s + 9 = 0. Suppose 0*y - 2*y + 121 = -w, j*w = -3*y + 199. What is the remainder when y is divided by c? 19 Suppose -2*w - 3*b = -22, -11 + 35 = 4*w + b. Suppose 0 = -13*h + w*h + 1744. What is the remainder when h is divided by 17? 14 Let c(u) = -u - u + 25 + 6. Calculate the remainder when 24 is divided by c(12). 3 Let o(k) = -235*k + 1. Let q be o(-1). Let s = -162 + q. Suppose 305*i - 301*i = 3*r + 97, -2*i + 51 = r. Calculate the remainder when s is divided by i. 24 Suppose 7*p - 45 = -185. Let r = 23 + p. Let i = 18 - 10. What is the remainder when i is divided by r? 2 Let v(i) = -2*i - 4. Let p be v(-5). Suppose 7*c - 13 = 6*c. What is the remainder when 3/p - 194/(-4) is divided by c? 10 Let n = 7 - 4. Let s(z) = -z**2 + 6*z + 6*z + z - 5*z - 7. What is the remainder when s(n) is divided by 3? 2 Suppose -2*a - 2*f + 1044 = 0, 5*a + f - 3*f = 2631. What is the remainder when a is divided by 24? 21 Let q(c) = -3*c - 9. Let f(r) = r + 1. Let k(i) = 4*f(i) + q(i). Let j be k(4). Calculate the remainder when 22 is divided by 0 - -3 - (-8 + j). 10 Let n be -3*1/(-9)*-3. Let k = 6 - n. Suppose -2*i = 2*d - 32, -2*d - 4*i + 40 = -0*d. Calculate the remainder when d is divided by k. 5 Suppose -53 - 99 = -4*t. Suppose -12 = -o + 4*p + t, -5*o - p = -208. Let l = 16 + -5. Calculate the remainder when o is divided by l. 9 Let u be (170/3)/((-9)/27). Let x = -101 - u. What is the remainder when x is divided by 14? 13 Let a = 52 - 51. What is the remainder when 30 is divided by a - -5 - (-4 - -6)? 2 Let f = 571 - 566. Suppose -5*k = -3*h - 13, 0 = k + 3 - 8. Calculate the remainder when f is divided by h. 1 Suppose 0 = 5*y + 4*x - 512, -y + 5*x + 485 = 4*y. Let p = -39 + 56. Calculate the remainder when y is divided by p. 15 Suppose 0*v + 2*v = -8. Let n be 2384/36 - v/(-18). Suppose -2*j + n = j. Calculate the remainder when j is divided by 13. 9 Suppose -92 = 3*z - 164. Suppose z = 2*j + j. Let k(s) = 2*s**2 + 2*s - 1. What is the remainder when k(-5) is divided by j? 7 Suppose q - 26 = -5*b, q + 19 = -b + 5*b. Suppose 0 = -b*a + 48 - 33. What is the remainder when 10 is divided by a? 1 Suppose -33*g + 29*g + 48 = 0. Suppose 7*y = -g + 194. What is the remainder when y is divided by 14? 12 Suppose -6 = -2*d - 4*y, -39*d + 38*d + 4*y + 9 = 0. Let j = 38 - -6. Suppose 0*t - j = -2*t. What is the remainder when t is divided by d? 2 Let z(t) = -t**2 + 43*t - 135. Calculate the remainder when z(5) is divided by 12. 7 Calculate the remainder when 409 is divided by 212/8 - -2 - 4/8. 17 Let r(x) = -x + 9. Let a be r(-8). Suppose -l = 4*o - a, 0*l - 3*o + 19 = 2*l. What is the remainder when 13 is divided by l? 3 Suppose 0 = 5*d - 4*k - 57, 3*k - 50 + 44 = 0. What is the remainder when 791 is divided by d? 11 Suppose -4 = 10*t - 12*t. Let q be 11 + 1 - (0 + t). Suppose 3*b + 2*y = -2*y + 37, 0 = 5*y + q. Calculate the remainder when 43 is divided by b. 13 Suppose 0 = -2*v - 3 - 7, 5*w + 3*v - 70 = 0. Let i = -13 + w. What is the remainder when 17 is divided by i? 1 Let h be (-7)/((-7)/(-3)) + 7. Suppose -4*i - h = 0, -2*u = -u - i - 17. What is the remainder when 60 is divided by u? 12 Suppose -6*w + 2*w = 0. Suppose w = p + p - 12. Suppose 2*n + 5*m = 50, 2*n - 2*m - 12 = 10. What is the remainder when n is divided by p? 3 Let m(k) = k**2 + 103*k - 526. What is the remainder when 687/5 - (-4)/(-10) is divided by m(5)? 11 Let z(w) = 16*w**2 - 6*w**2 - 11*w**2 - 2*w + 2 - w. Let s be 2*9/6*-1. Calculate the remainder when 4 is divided by z(s). 0 Let h be -1 + 4 - (28/7 + -2). Calculate the remainder when 3*4/(-6) - (-22 - h) is divided by 7. 0 Suppose 258 = 21*w - 120. What is the remainder when 194 is divided by w? 14 Calculate the remainder when 9/((-630)/(-21010)) + 12/14 is divided by 19. 16 Let s = 116 - 111. Suppose -s*v + 96 = -3*t, -v + t + 18 = -0*v. Calculate the remainder when 57 is divided by v. 15 Suppose -3*x + 618 = -3*w, -5*x + 9*x = 2*w + 824. Calculate the remainder when x is divided by 49. 10 Let c = -144 + 249. Let n(d) = -222*d - 1518. Calculate the remainder when c is divided by n(-7). 33 Let k be 2/((-28)/(-20) - 1). Suppose -4*f - k*s + 34 = -f, -5*f + 3*s = -68. Let c(o) = o**2 - 5*o - 6. Calculate the remainder when f is divided by c(7). 5 Let h be 6 - 4 - (0 - 244). Suppose h = -0*f + 2*f. Let a = -1589 + 1620. What is the remainder when f is divided by a? 30 Let r(y) = 4*y**2 - 7*y + 19. What is the remainder when 878 is divided by r(4)? 53 Let i = 86 + -46. Suppose 3*v - i = -v. Suppose 0 = 5*y - 3*a - v, -3*a + 6*a + 8 = 4*y. What is the remainder when 3 is divided by y? 1 Let z be (7 + (-69)/(-12))/((-2)/8). Let c = z - -125. What is the remainder when c is divided by 19? 17 Suppose -5*a - 150 = -3*x - 2, 4*x - 206 = -2*a. What is the remainder when 150 is divided by x? 48 Suppose 2*w = -s + 6, s + 1 + 2 = w. Let k = 8 - w. Suppose -4*h + 65 = 3*z, k*z + 3 = -3*h + 38. What is the remainder when 79 is divided by h? 19 Suppose 201*h - 198*h - 36 = 0. What is the remainder when 45 is divided by h? 9 Suppose 0 = 2*v - 2, -5*r - v - 14 = -0*v. Calculate the remainder when 2 is divided by 3 - r/(-9)*3. 0 Let y be 28 + (-6 + 4 - 0). Let m = y + -6. What is the remainder when m is divided by 6? 2 What is the remainder when (-9694)/(-148) - 2/(-4) is divided by 25? 16 What is the remainder when (426/(-4))/(187/22 + -10) is divided by 12? 11 Let a(z) = 5 + 8*z - 5*z**2 + z + z**3 - 5*z. Calculate the remainder when 18 is divided by a(4). 3 Suppose 5*i = -v + 21, 4*v + i - 6*i = -16. Suppose 3*w - v = -5*b + 74, 2*b - 30 = -4*w. What is the remainder when 41 is divided by b? 11 Suppose -3*g = -5*u + 161, u - 4*g - 13 = 9. Suppose 0 = -4*t - 2*h + u, -t = 5*h - 5 - 8. Calculate the remainder when 23 is divided by t. 7 Suppose -3*i - 1 = 4*f - 33, 2*f - 2 = 2*i. Suppose 4*x - 27 = 3*a, -9*a + 11*a = 2*x - 14. Calculate the remainder when x is divided by f. 1 Suppose 11 - 59 = -3*g. What is the remainder when 254 is divided by g? 14 Let g = -584 - -738. What is the remainder when g is divided by 80? 74 Let q(y) = -y + 102. Suppose 0 = 2*p - 19*p + 459. What is the remainder when q(0) is divided by p? 21 Let k(u) = -u**3 + 12*u**2 - 6*u - 10. Suppose 4*q = -2*n + 718, -3*q + 11*n + 536 = 12*n. What is the remainder when q is divided by k(11)? 42 Let z = -86 + 114. What is the remainder when 77 is divided by z? 21 Calculate the remainder when ((-18)/8)/3 - 5139/(-36) is divided by 18. 16 Let a = 18 + 4. Let z = -11 + a. Calculate the remainder when (-6 - -4) + (2 - -41) + 0 is divided by z. 8 Let j be 5*(0 - 24/15). Let n(x) = -3 - 10*x - 7*x**2 - 12 + 5 + 6*x**2. Calculate the remainder when 22 is divided by n(j). 4 Suppose -122*t + 105*t = -493. Let z(h) = 3*h - 1. Let c be z(-3). Calculate the remainder when t is divided by ((-8)/(-5))/((-2)/c). 5 Let t be -3 + 1 + 0/5. What is the remainder when 2*1 + 2*(-155)/t is divided by 40? 37 Suppose -2 = -2*r, -37 - 40 = -2*d + 5*r. Calculate the remainder when 284 is di
{ "pile_set_name": "DM Mathematics" }
ppose -5*w - 4*p = -2*w - 130, 0 = -4*w - 5*p + 174. Is 13 a factor of w? False Let d = 19 - -93. Does 28 divide d? True Let c(w) = w**2 + 11*w + 1. Let j be c(-8). Let o be (-4)/(-8) - j/(-2). Let n = 20 + o. Is n a multiple of 9? True Let g = -49 + 133. Let u = g - 39. Suppose 5*y - u = -0*y. Is 8 a factor of y? False Let i(r) = 10*r**2 + 3*r - 5. Let p be i(5). Suppose -5*t - 4*q = -p, 2*t - q - 101 = -2*q. Is t a multiple of 12? True Let t = 84 + -46. Let o = -6 + 29. Let m = t - o. Is 15 a factor of m? True Let z(w) = 4*w - 1. Let k be z(4). Suppose -3*s + 18 = -k. Is 11 a factor of s? True Suppose 3*y - 6*y + 2*s + 16 = 0, 10 = 5*y + 5*s. Suppose -y*u + 406 = 150. Suppose 0*x - 4*x + u = 0. Is x a multiple of 6? False Let j(c) = c**2 + 8*c - 2. Suppose r - 13 = -0*q + q, -22 = q - 4*r. Is 5 a factor of j(q)? False Suppose 5*w + 343 = -3*n + 1322, 2*n - 658 = 2*w. Does 42 divide n? False Suppose -5*u + 2*u - 240 = -3*p, 160 = 2*p - u. Is 13 a factor of p? False Suppose -12*z = -6*z - 1512. Does 19 divide z? False Let v be -1 + (0 - -99*1). Let q = 180 - v. Is 35 a factor of q? False Let w(l) = 2*l**3 - 3*l**2 + 4. Let u be (3 + -2)/((-1)/(-3)). Let g be 2/u*(-81)/(-18). Does 11 divide w(g)? False Suppose -17 = 2*p - 105. Does 22 divide p? True Suppose 0 = -3*t, -3*j + t + 329 = -31. Is j a multiple of 30? True Let a = 5 - 0. Let d = 42 - a. Is d a multiple of 10? False Suppose s - 143 = -0*s. Does 13 divide s? True Suppose -445 = -5*q + h, 3*q - h + 6*h = 295. Is 30 a factor of q? True Let b be (-115)/(-30) + (-2)/(-12). Suppose b*f = -3*i + 28, 5*i - 10 = -2*f + 18. Suppose 28 - 8 = f*d. Is d even? False Suppose 3 = i - m, -2*i - 4*m = -0*m - 6. Suppose -62 = -i*h - j + 5*j, 0 = -3*h + 3*j + 60. Is 5 a factor of h? False Let l = 145 - 91. Does 18 divide l? True Suppose -5*s - 4*z + z = -149, 4*z = -2*s + 54. Suppose k = -1 + s. Does 15 divide k? True Suppose 3*a - 1 = 11. Suppose -5 = c, a*c + 3 = -2*b + c. Let w = b - -2. Does 4 divide w? True Let a(o) = o**3 + 8*o**2 + 2*o - 7. Is 9 a factor of a(-4)? False Let t be 1544/24 - 4/(-6). Suppose -6*y = -y - t. Is 3 a factor of y? False Suppose -26*x = -29*x + 120. Does 13 divide x? False Let r be (-5 + 1/1)*2. Is 7 a factor of 1*(1 - 2) - r? True Let v = 91 - 7. Does 28 divide v? True Suppose 3*t + k = -26, -4*t + 2*k - 25 - 3 = 0. Does 11 divide (t - -10) + (-20)/(-1)? True Suppose -5*z = q - 48, 0 + 6 = 2*z - 4*q. Is 6 a factor of z? False Is 1504/20 - 2/10 a multiple of 25? True Let t = 377 - 126. Is t a multiple of 24? False Suppose 53*q = 51*q + 182. Is 7 a factor of q? True Suppose -2*t + 62 + 98 = 0. Is 18 a factor of t? False Suppose -3*n + 0 = -s - 1, -s + 5 = 3*n. Is 3/n - (-24 - 4) a multiple of 18? False Let k(u) = -2*u + 1. Let p be k(-4). Suppose -p - 15 = -3*h. Is 4 a factor of h? True Let y(a) = -a**3 + 7*a**2 - 4*a. Is y(5) a multiple of 3? True Suppose 4*q = -0*q - 36. Let k be -2 - q - (-2)/(-1). Suppose -3*i + 43 = 2*i + 2*l, 5*l - 55 = -k*i. Is 7 a factor of i? True Let s(q) = -q**2 - 9*q - 2. Let x be s(-8). Suppose -40 = -5*v + v. Let p = v + x. Does 15 divide p? False Let c = -3 - -2. Let n be -2*2*c/2. Suppose -n = -2*j + 26. Is j a multiple of 11? False Let x be (4 - (-14)/(-4))*166. Suppose z - m = 95, 0*z - z = 2*m - x. Does 19 divide z? False Let p = -134 + 233. Does 9 divide p? True Let t(j) = j**2 - j + 48. Let i be (-14)/(-4)*8/14. Suppose -i*o = -3*z - 5*o, 4*z - 3*o = 0. Is t(z) a multiple of 19? False Let v(n) = 1 - 2*n**3 + n**3 + 0*n**3. Let f be v(-2). Does 11 divide 178/f + (-2)/(-9)? False Suppose -c - 616 = -4*u - 5*c, 2*u = 3*c + 333. Suppose u = 3*l + 21. Suppose -3*f + l = -11. Is 7 a factor of f? False Suppose -4*g + 25 = 9. Suppose 14 = g*v - 38. Let s = -8 + v. Does 5 divide s? True Suppose -o = 5*a - 5*o - 20, 2*a - 2*o = 10. Suppose x + a - 8 = 0. Is x a multiple of 7? False Let r(i) = 5*i + 4*i**2 + 3 - 2*i**2 - i. Does 13 divide r(4)? False Let r(d) = 19*d**2 + 2*d - 1. Suppose 3*z + 17 = 2*z - 3*y, -4*y - 21 = z. Let g be 6/5 + 1/z. Is r(g) a multiple of 7? False Let m = -9 - -13. Let g = m - 0. Is g even? True Let k be 3 + (1 - (5 + -3)). Is 27 - -4 - (-2)/k a multiple of 8? True Suppose 23*b - 234 = 22*b. Is b a multiple of 49? False Let t = -5 + 9. Suppose 9 = -t*r - 15. Is r/30 + 241/5 a multiple of 21? False Let q = -51 + 77. Is q a multiple of 8? False Suppose -3*n = 10*n - 3497. Is n a multiple of 15? False Suppose 58 = 3*n - 98. Suppose -2*c = 5*s - n, -5*c + 9*s + 130 = 4*s. Is c a multiple of 13? True Let b(n) = 7*n + 2. Let m(r) = -13*r - 4. Let a(z) = 11*b(z) + 6*m(z). Does 8 divide a(-10)? True Does 2 divide ((-2)/5 - -1)/((-23)/(-115))? False Let j(r) = 15*r**2 - r. Let v be j(-1). Suppose 0 = -2*o + 40 + v. Suppose 4*z + 3*t - 18 = 13, 4*t - o = -2*z. Does 4 divide z? True Let z be 8/12 + (-25)/(-3). Suppose 0*b + z = -3*b. Is (b + 4)/(1/6) a multiple of 3? True Let d(s) = s - 1. Let z be d(5). Let a(n) = -n**2 + 7*n. Is a(z) a multiple of 6? True Suppose -124 = -5*c - 44. Let i = c + -10. Is 3 a factor of i? True Let g be 5 + 0 - (1 + 1). Suppose g*j - n - 110 = -3*n, -5*n - 162 = -4*j. Is j a multiple of 19? True Suppose -3*o + 0*o + 962 = -h, 3*h + 326 = o. Is o a multiple of 43? False Let h(q) = -2*q**3 - 9*q**2 + 4*q + 4. Is h(-7) a multiple of 13? True Let f = 2 - 0. Let q be 10/4*272/20. Suppose -3*r + f*r = -q. Does 17 divide r? True Suppose -b = 2*b - 12. Let m(a) = 2*a**2 - 5*a + 4. Let p be m(b). Suppose -56 = -s - p. Does 20 divide s? True Suppose 162 = 4*k - 50. Let x = k + -21. Is (x + 1)/(9/6) a multiple of 11? True Let r(j) = -j**2 + 7*j - 3. Let f be r(6). Let v(w) = -f*w + 4*w**2 + w + 5*w + w**3. Is v(-2) a multiple of 2? True Let p(q) = -q - 15. Does 3 divide p(-18)? True Let m(i) = i**3 + 7*i**2 + 7*i + 11. Let q be m(-6). Suppose 2*j - 97 = -q*o, 7 = -3*j - 3*o + 130. Is j a multiple of 12? True Let y(c) = c**2 - 4*c - 4. Does 5 divide y(7)? False Suppose -h = 3*h - 12. Let b(g) = -g**3 + 6*g**2 - 4*g - 1. Is b(h) a multiple of 4? False Let o(z) = -3*z. Let x be o(-2). Let m(a) = 2 - 2*a**2 + 3*a + 2*a**2 - x*a**2 + a**3. Is m(6) a multiple of 20? True Suppose 0 = -v + 4*y - 22, 2*v - 3*y = 7*v + 87. Is v/(0 - (-6)/(-8)) a multiple of 15? False Let b = -4 + -1. Let a(d) = d**3 + 6*d**2 + 2*d - 1. Is a(b) a multiple of 7? True Suppose p - 146 = 28. Suppose -5*k + 3*g = -p, 4*k - 2*g + 43 = 181. Does 20 divide k? False Suppose 0 = 6*x - 4*x + 5*f - 61, -4*x = -3*f - 57. Let i = x - 10. Is i a multiple of 4? True Let s = 10 - 5. Suppose -357 = -3*v + 123. Suppose -s*o + v = -0*o. Is 16 a factor of o? True Suppose -6 = 4*v - 22. Suppose 0 = -3*o - r + 94 + 238, 5*o + 4*r = 558. Suppose -v*t + o = t. Is 11 a factor of t? True Let g(v) be the third derivative of -2/3*v**3 + 0*v + 1/6*v**4 + 1/12*v**5 + 0 - 3*v**2 - 1/120*v**6. Does 13 divide g(3)? True Suppose 4*i = -2*d - 6, 0*i - 37 = -5*d + 3*i. Suppose d*y + 5 = 6*y. Is 3 a factor of y? False Suppose 2*v = 3*v - 29. Is v - (1 + (-1)/(-1)) a multiple of 9? True Let c = -41 + 62. Let s = -1 - c. Is 1 + 1 + -1 - s a multiple of 12? False Let i = -30 + 85. Does 7 divide i? False Let h be ((-5)/3)/((-3)/(-45)). Let k = 62 + h. Is 13 a factor of k? False Let q(s) = -5*s - 8. Let f(t) = 2*t + 3. Let o(w) = -8*f(w) - 3*q(w). Let g(i) = -4*i. Let c(m) = -2*g(m) + 9*o(m). Does 3 divide c(-5)? False Suppose -3*f + 8 = -2*h, 0 = 2*h - 4*h - 2. Does 2 divide (-9)/(-12)*(f - -10)? False Let l be 6/(1/(18/4)). Suppose -l - 18 = 5*a. Let w = 24 + a. Does 6 divide w? False Let v = -64 + 95. Let j be (-3)/6 - 13/2. Let y = v - j. Does 19 divide y? True Is (0 - -3)*(16 - 2) a multiple of 6? True Let b = 10 + -5. Suppose -25 - 50 = -b*n. Is n a multiple of 9? False Let r(i) = i**2 + 17*i - 1. Let p be r(-8). Let s = p + 164. Does 25 divide s? False Let i = 0 - -8. Does 8 divide i? True Let r(t) be the second derivative of -t**4/12 - t**3 + 7*t**2/2 - 3*t. Let f be r(-7). Let c(n) = n + 16. Is c(f) a multiple of 8? True Suppose -2*w = -21 - 29. Does 10 divide w? False Suppose 3*o - o = -10. Let q = 20 - o. Is 9 a factor of q? False Let z = 11 - -8. Suppose 2*n - 67 = -z. Is 8 a factor of n? True Let i = 9 + -7. Let k be i/4 - 70/(-4). Suppose -5*d + k = -57. Is 15 a fac
{ "pile_set_name": "DM Mathematics" }
0*h**3 + 0*h**4 + 0*h. Calculate v(q(m)). -20*m**4 Let o(q) = 1145802897*q**2. Let j(n) = 2*n. What is j(o(k))? 2291605794*k**2 Let g(i) = 40*i**2. Let k(c) be the first derivative of -c**4/12 - 62*c - 3. Let n(q) be the first derivative of k(q). Calculate g(n(j)). 40*j**4 Let v(u) = -2665*u. Let k(y) = 3*y**2 - 168. What is v(k(h))? -7995*h**2 + 447720 Let o(u) = 2*u. Suppose 0 = -5*f - 23*f + 672. Let q(t) = 27*t**2 - f*t**2 + 12*t**2. Determine q(o(m)). 60*m**2 Let a(x) = 14*x**2. Let m(c) = -342*c**2 + 7*c - 320. What is m(a(b))? -67032*b**4 + 98*b**2 - 320 Let x(i) = 21*i**2. Let z(v) = -104*v**2 - 223*v**2 + 211*v**2 - 251*v**2 - 150*v**2. Determine x(z(w)). 5613069*w**4 Let y(k) = 1129*k - 602. Let i(f) = -2*f + 3. Calculate y(i(j)). -2258*j + 2785 Let a(x) = 674*x + 751*x - 1425*x - 3*x**2. Let j(m) = -724*m. Calculate a(j(p)). -1572528*p**2 Let b(z) = -401*z + 9. Let n(u) = 4557*u. Calculate b(n(i)). -1827357*i + 9 Let p(g) = 2*g**2 - g - 497. Let t(f) = -3*f + 4. Give p(t(q)). 18*q**2 - 45*q - 469 Let r(x) = -3*x. Let q(o) be the first derivative of 107*o**2/2 + 3*o + 5405. What is r(q(i))? -321*i - 9 Let b = -667 + 693. Let d(a) = b + 26 + 28 + 10*a - 80. Let l(c) = 40*c**2. What is d(l(s))? 400*s**2 Let m(t) = -7861*t. Let j(r) = -4*r**2 + 1055*r - 1. Calculate m(j(p)). 31444*p**2 - 8293355*p + 7861 Let m(l) = -22*l**2. Let g(t) = -9274*t + t**2 + 9274*t. Determine g(m(p)). 484*p**4 Let q(h) = 57*h**2 - 3*h. Let x(t) be the third derivative of 7*t**5/60 + 6*t**2 - 8*t. Determine q(x(a)). 2793*a**4 - 21*a**2 Let u(c) be the second derivative of -2*c**4/3 + 422*c + 1. Let y(q) = -q + 8. Give y(u(v)). 8*v**2 + 8 Let r be (2 + 0/(-8 + 5))*1. Let t(s) = 86*s**r - 41*s**2 - 46*s**2. Let w(h) = -401*h**2. Calculate w(t(f)). -401*f**4 Let b(v) = -101*v + 307*v - 100*v - 104*v. Let j(f) = -2*f**2 + 586*f. Calculate j(b(u)). -8*u**2 + 1172*u Let y(r) = r**2 - 16*r + 87. Let w be y(17). Let l(x) = -8 + 2 + w*x + 6. Let m(j) = 2*j**2. Give l(m(b)). 208*b**2 Suppose 295 = 4*g - 257. Let n(l) = g*l**2 - 63*l**2 - 73*l**2. Let y(c) = 12*c**2. What is n(y(f))? 288*f**4 Let a(q) = 3569972 + 32*q - 3569972. Let t(v) = 505*v**2. What is t(a(b))? 517120*b**2 Let p(n) = -3*n - 48. Let t(i) be the third derivative of 13*i**5/60 - 974*i**2 + 1. Give p(t(o)). -39*o**2 - 48 Let n(r) be the second derivative of r**4/12 - r**3/2 + 6*r. Let m(p) = -p**2 + 4*p. Let w(z) = 3*m(z) + 4*n(z). Let d(y) = 14*y**2. Calculate w(d(j)). 196*j**4 Let n(y) = -4*y. Let a(h) = 70312*h**2 + 55. Give a(n(s)). 1124992*s**2 + 55 Let u(a) = 29*a**2 + 57*a**2 + 62*a**2 - 146*a**2. Let n(i) = 4*i**2 + 4*i - 139. Give n(u(b)). 16*b**4 + 8*b**2 - 139 Let z(b) = -2*b**2. Let p(o) = 3*o**3 - 2*o**2 - 4*o + 12. Let j be p(3). Let y(q) = j*q**2 + 84*q**2 - 76*q**2. Determine y(z(r)). 284*r**4 Let v(z) = 6*z**2. Let g(x) = 820823*x - 10. Calculate g(v(b)). 4924938*b**2 - 10 Let v(m) = 4128*m. Let r(d) be the third derivative of d**5/30 - 7*d**2 - 83. What is r(v(t))? 34080768*t**2 Let v(u) be the first derivative of -u**3/2 - 62*u + 20. Let h(t) be the first derivative of v(t). Let x(m) = -30*m. What is h(x(w))? 90*w Let z(a) = -4*a**2. Let j(g) = 3*g + 8832 - 4275 - 4383. Determine j(z(w)). -12*w**2 + 174 Let f(v) = -11*v. Let p = 3 - -4. Let u be (0 + 14/4)/((-725)/(-1450)). Let j(s) = p*s - u*s - s. Give f(j(a)). 11*a Let t(v) = -2*v. Let q(m) = 11254*m - 4975*m - 12843*m - 2940*m. Calculate q(t(w)). 19008*w Let n be (-1564)/(-276) + (-3 - 7/(-3)). Let m(x) be the third derivative of 0*x - 1/60*x**n + 0*x**3 + 0 - 3*x**2 + 0*x**4. Let t(h) = -5*h. Give t(m(o)). 5*o**2 Let p(i) = 915659*i. Let r(u) = -7*u. What is r(p(n))? -6409613*n Let y(k) = 3*k**2 + 2078. Let w(z) = -14*z + 1. Let c(j) = -114*j + 8. Let r(a) = c(a) - 8*w(a). Determine r(y(h)). -6*h**2 - 4156 Let v(u) = 6*u**2 + 98. Let z(n) = 32897*n - 3. What is z(v(l))? 197382*l**2 + 3223903 Let y(p) = 264*p**2. Let c(b) be the first derivative of -b**6/180 - 37*b**3/3 + 63. Let t(x) be the third derivative of c(x). What is y(t(r))? 1056*r**4 Let h(n) = 3*n**2. Let j(q) be the first derivative of -4*q**3/3 + 40*q + 6908. Give j(h(y)). -36*y**4 + 40 Let b(h) be the third derivative of h**4/12 + 4*h**2 + 31*h. Let o(s) be the second derivative of -5/3*s**4 + 0 + 6*s + 0*s**3 + 0*s**2. Give o(b(m)). -80*m**2 Let j = 2108 - 2105. Let q(l) be the second derivative of 0 - 6*l + 0*l**2 + 19/12*l**4 + 0*l**j. Let b(c) = c. Give q(b(u)). 19*u**2 Let o(s) = -21*s. Let a(i) = 1325022*i**2. Give a(o(n)). 584334702*n**2 Let n(x) = -5455*x + 10912*x - 2 - 5459*x + 2. Let g(p) = -62*p + 21. What is n(g(j))? 124*j - 42 Let j(r) = -56*r**2. Let n(a) be the first derivative of 113*a**3 - 63*a**3 - 179 - 52*a**3. Give j(n(d)). -2016*d**4 Let j(c) = 952*c**2. Let z(h) = 35*h**2 + 4*h. Determine z(j(s)). 31720640*s**4 + 3808*s**2 Let n(o) = -841*o. Let b(z) = -z**2 + z + 12. Let s(l) = 4*l**2 - 2*l - 24. Let r(x) = 2*b(x) + s(x). Give n(r(p)). -1682*p**2 Let w(l) = -8*l. Suppose -4*i + s + 1 = 0, -31*s = i - 34*s - 3. Let o(t) = 608 - 4*t**2 + 0*t + i*t - 608. What is w(o(h))? 32*h**2 Let k(z) be the third derivative of -1/3*z**3 - 17/4*z**4 + 240 + 2*z**2 + 0*z. Let a(f) = f. Determine a(k(j)). -102*j - 2 Let h(d) = -16*d. Let z(b) be the first derivative of -21*b**2/2 + 2605. Give h(z(t)). 336*t Let d(w) = 2*w**2. Let b be (6 + -7 - (-2 - 34)) + 2. Let m(v) = -15*v**2 + b*v**2 + 16 - 10*v**2 - 9*v**2 - 69. Determine d(m(u)). 18*u**4 - 636*u**2 + 5618 Let k(d) be the first derivative of 8*d**3/3 - d**2/2 - 608. Let l(t) = 26*t. Give k(l(x)). 5408*x**2 - 26*x Let i(w) = 12*w - 4. Let u(q) = q**2 + 2*q - 16675. Determine i(u(n)). 12*n**2 + 24*n - 200104 Let v(r) be the first derivative of r**5/12 + r**2/2 + 1. Let g(n) be the second derivative of v(n). Let s(y) = 27*y**2 - 44*y**2 + 19*y**2. Give g(s(i)). 20*i**4 Let l(z) = -38*z. Let b(m) = 9*m**2 + 6*m + 6. Suppose -15*w + 7*w = -48. Let p(d) = -26*d**2 - 17*d - 17. Let q(a) = w*p(a) + 17*b(a). Determine l(q(g)). 114*g**2 Let i(r) = -28*r + 409. Let a(d) = 13*d - 169. Let b(h) = 5*a(h) + 2*i(h). Let x(o) = 4*o**2. What is b(x(l))? 36*l**2 - 27 Let t(h) = -112*h**2 - 3. Let k(v) = 56*v + 1. Let z(m) = 4205*m + 75. Let o(y) = -150*k(y) + 2*z(y). Determine o(t(x)). -1120*x**2 - 30 Let c(s) = -3*s + 5*s - 2*s + 3*s. Let z(u) be the second derivative of -u**4/8 - 7*u**2/2 - 6*u. Let l(q) be the first derivative of z(q). Calculate c(l(x)). -9*x Let w(l) = 23*l**2. Let s(p) be the second derivative of 2/3*p**4 + 0*p**2 + 0*p**3 + 12 + 2*p. Give w(s(b)). 1472*b**4 Let z(r) = 21*r. Let q(d) = 390*d**2. Let c(u) = -1098*u**2. Let o(k) = -3*c(k) - 8*q(k). What is z(o(j))? 3654*j**2 Let v(s) = -10 + 1633*s - 1642*s + 33. Let b(c) = -6*c**2. What is v(b(h))? 54*h**2 + 23 Let y(d) = -2*d**2. Let k(n) be the second derivative of 0*n**2 - 24 - 3*n - 27/2*n**3. Calculate y(k(a)). -13122*a**2 Let j(m) = 34*m - 22. Let v(h) = h + 1478*h**2 - h - 1476*h**2. Determine j(v(f)). 68*f**2 - 22 Suppose -4*j = -u - 14, 4*u + 2*j - 8 = 8. Let w(d) = u*d - 4*d - 12*d - 30*d. Let f(n) = 3*n - n - n. Give f(w(z)). -44*z Let h(x) = -6260*x. Let g(y) = -6*y + 94. Calculate h(g(b)). 37560*b - 588440 Let q(l) = -7*l - 4. Let r(w) = -12*w - 8. Let p(y) = 3*y - 56. Let c be p(22). Let s(z) = c*q(z) - 6*r(z). Let o(j) = -331 - j**2 + 168 + 163. Give s(o(i)). -2*i**2 + 8 Let q(p) = 71*p. Let r(s) = 15*s - 243. Give r(q(x)). 1065*x - 243 Let f(z) = 1466*z**2. Let n(g) be the first derivative of g**2/2 - 7834. What is n(f(b))? 1466*b**2 Let a(x) = -199299363*x**2. Let n(h) = -h. What is a(n(j))? -199299363*j**2 Let f(x) = -233*x**2 + 5*x - 5. Let b(z) = 140*z**2 - 3*z + 3. Let q(g) = -10*b(g) - 6*f(g). Let h(a) = 550*a - 6. Give q(h(y)). -605000*y**2 + 13200*y - 72 Let a(l) be the second derivative of l**7/1260 + l**4/12 + 88*l**3/3 + 135*l. Let m(s) be the third derivative of a(s). Let g(v) = 4*v + 30. Give m(g(h)). 32*h**2 + 480*h + 1800 Let a(g) = 628*g. Let i(j) = -33138*j**2. Give a(i(o)). -20810664*o**2 Let g(m) = 2*m. Let x(u) = 28612*u**2 + 990*u. Give g(x(d)). 57224*d**2 + 1980*d Let u(k) = 127*k. Let p(v) = -v**2 - 5*v + 2. Let c(t) = -15*t + 6. Let m(x) = c(x) - 3*p(x). Give m(u(n)). 48387*n**2 Let q = 0 - -2. Let n(b) = -q
{ "pile_set_name": "DM Mathematics" }
(1 - 2 - 1)*(-d - d + 3*d) + 0*d - 3*d - 3*d. -40*d Expand -7*z**2 - 2*z**3 + 7*z**2 + (-z**3 - 2*z**3 + 4*z**3)*(15 - 34 - 23). -44*z**3 Expand (3 + 0 + 0)*(2*x - 3*x + 2*x) + x + x - 4*x + 20*x + 32*x - 12*x. 41*x Expand (-f**2 + 3*f**2 - 3*f**2)*(-f - 4*f + 3*f + (-51*f + 106*f + 4 - 51*f)*(3 - 1 - 4)*(2 + 1 - 5)). -14*f**3 - 16*f**2 Expand (-2086*o - 59920227 + 59920227)*(-2 + 2 + 1). -2086*o Expand (-19*r - 42*r + 146*r)*(8 - 10 + 4). 170*r Expand -4 + 4 - 37 - 4*z + 1 - 1 - z - 2*z - 4*z + 3*z + (2 - 2 - z)*(1 - 3 + 3) + 5*z - z - 2*z - 2*z + 0*z + 0*z - 3*z + 2*z + 0*z. -10*z - 37 Expand (5 - 19 + 13 + 9*h)*(-h + 2*h + h)*(48 - 44 + 64). 1224*h**2 - 136*h Expand 2*o**3 + 3*o - 3*o + (0*o + 0*o + o**2)*(-o + 2*o + 0*o) + (-8*o + 12*o - 3*o)*(-73*o**2 - 190 + 95 + 91). -70*o**3 - 4*o Expand 3*a**4 - 3*a**4 - 2*a**5 + (-395*a**4 - 242*a**4 + 459*a**4)*(4 - 4 + 2*a). -358*a**5 Expand (-36 - 10 + 15)*(c**2 + 2*c**4 - c**2)*(0 + 1 + 0 + (-1 - 2 + 5)*(1 + 3 - 1) + 1 - 3 + 4). -558*c**4 Expand (1 - 3*w - w + 3*w)*(-w + 3*w + 0*w + (1 + 1 - 1)*(2*w + 2 - 2) - 2*w + 3*w - 3*w - 6*w - 7*w - 4*w + 7628 - 7628 + 21*w). -6*w**2 + 6*w Expand (2389 + 874 - 11949 + 1537 - 8353)*(-m**2 + 2*m - 2*m). 15502*m**2 Expand (594 - 930 + 816 + 4 - 16 + 5 + 3 + 2 - 4 + (2 + 1 - 5)*(-2 - 1 + 1) + 0 + 0 - 1)*(i**3 - 2*i + 2*i). 477*i**3 Expand 0*h**3 - 3*h**3 + h**3 + (0 - 2*h + 0)*(0*h**2 - h**2 + 2*h**2) + (561*h - 3360*h**2 - 560*h + 3363*h**2 - 1627)*(-2*h - h + h). -10*h**3 - 2*h**2 + 3254*h Expand 2*y - 3*y + 3*y + (-5*y + 5*y + 2*y)*(0 + 1 + 1) - 88 - 83 + 172 + 3460*y. 3466*y + 1 Expand (-7 + 6*n + 7)*(587*n + 99848 - 99848 + (-n + 0 + 0)*(-4 + 1 - 1)). 3546*n**2 Expand (-16*m + 12*m - 2 + 5)*((0 + 4 - 6)*(-6 - 4 + 5) - 15 - 8 - 3). 64*m - 48 Expand 2*u - 2*u + 6*u + (-50 - 17 - 29)*(0*u - 2*u + 0*u). 198*u Expand (1 - 3 + 4)*(-10612*k**2 - 20723466*k + 20723466*k)*(3 - 3 - 2*k**2). 42448*k**4 Expand (0 - 3 - 1)*(m + m + m + (11*m + 2 - 2)*(-1 + 5 - 5))*(-5 - 5*m + 3 + 3). -160*m**2 + 32*m Expand (3 + 1 - 2)*(-o - 1 + 1) + o + 4*o - o + (-2268 - 4996 + 9181)*(-1 - 2 + 5)*(5*o - 2*o - o). 7670*o Expand (l**3 - 5*l**3 + 2*l**3)*(-7108*l - 5951*l + 11563*l)*(1 - 1 + 2*l + (0 + 1 - 3)*(l - 4*l + 0*l) + 0*l + 3*l - l). 29920*l**5 Expand (x**2 - x**2 - 4*x**2)*(-248*x - 590*x - 8*x)*(-1 + 3 - 1). 3384*x**3 Expand i**5 - 2*i**5 - 2*i**5 + (-4 - 15 + 11)*(4*i**3 - 3*i**3 - 2*i**3)*(-85*i**2 + 139*i**2 - 106*i**2) + (i - 2*i + 3*i)*(i**4 + 0*i**4 - 3*i**4). -423*i**5 Expand -25*t + 6301 - 6299 + 755*t + (-4*t + 2*t - t)*(3 - 1 - 3). 733*t + 2 Expand (-3*h + 28*h + 14*h)*(-209*h - 280 + 280)*(-4 + 2 + 1). 8151*h**2 Expand (3 - 3 - 2*n**2)*(-12 - 1 - 52 + 1 - 3 + 3 - 5 + 3 + 3 + (3 - 3 - 2)*(2 - 1 - 3) - 2 - 2 + 3 - 1 - 3 + 3). 122*n**2 Expand (-5 + 5 + 2*b)*(b + 0*b + 5*b + 0 + 0 + 2*b + (b + 3 - 3)*(-2 + 4 - 1)) + (3 - 3 - 2*b)*(0 + 0 + b) + 2 + b**2 - 2. 17*b**2 Expand -69*x**2 - 9*x**2 - 127*x**2 + (8 - 8 + 5*x)*(2*x + 3*x - 7*x). -215*x**2 Expand (0*u**2 + u**2 + u**2)*(-6*u - 3*u + 3*u)*(1 - 1 + 2) - 7*u**2 + 131226 - 131226 + 39*u**3. 15*u**3 - 7*u**2 Expand ((1 + 0 - 2)*(-3*v - 1 + 1) + 0*v + v - 2*v + 0 - 3*v + 0)*(35*v**3 - 26*v**3 + 48*v**3) - 2*v**4 + 2*v**4 - 4*v**4. -61*v**4 Expand (-30*c**3 + 34*c**3 - 82*c**3)*(-20*c - 5*c - 29 + 30). 1950*c**4 - 78*c**3 Expand (0*f + 2*f - f - 1)*(-2*f + 0*f + f)*(0 - 6 + 4)*(-1143 + 1354 + 5298) - f**2 - 2*f**2 + 0*f**2. 11015*f**2 - 11018*f Expand -2845*z + 15*z**2 + 2 + 2845*z + (-2*z + 0*z + 4*z)*(-z + 0*z + 0*z) + 2*z**2 - z**2 + 2*z**2 - 2*z**2 - 3*z**2 + 3*z**2. 14*z**2 + 2 Expand -2*l + l - l + (-2 + 5 - 2)*(-58*l + 58*l - 52*l) + 6*l - l + 2*l + (-1 + 1 + 2*l)*(-3 + 1 + 0) + 0*l + l + 0*l + 3 - 3 - l. -51*l Expand (-2*p**2 + 3*p**2 - 3*p**2)*(2 + 2 - 2)*(0 + 1 + 5)*(3008*p - 3042*p + 3 + 0). 816*p**3 - 72*p**2 Expand (4*o**2 - 362*o**2 - 41*o**2)*(15*o - 14*o**3 - 15*o) + (-4*o**2 + 3*o**2 + 0*o**2)*(2*o**3 + 2*o - 2*o). 5584*o**5 Expand (95 - 118 + 346)*(-2*v**2 - v**2 + 2*v**2). -323*v**2 Expand (2*o - 4*o + 3*o)*((-7 + 5 + 11)*(-2 + 1 - 2) - 6 + 2 + 0 - 2 + 1 + 0 - 1 + 0 + 2 + (-6 + 2 + 3)*(-1 - 4 + 3)). -29*o Expand (4*t**2 + 3*t**2 - 5*t**2)*(-3 + t**2 + 3) + (-10 + 10 + 12*t**2)*(2*t**2 + 2*t**2 - 2*t**2). 26*t**4 Expand ((15 - 15 + 16*o**3)*(-4*o**2 - o**2 + 4*o**2) + 3*o**5 - 3*o**5 - 2*o**5)*(-35 - 48 + 56). 486*o**5 Expand (-3*r - 2*r + 3*r)*(1033 + 85 + 1079 - 541)*(r + 1 - 1)*(5 - 5 - 4*r). 13248*r**3 Expand (-2*u**3 + 4*u**2 - 4*u**2)*(-13 + 3 - 15)*(0*u - 3*u - 6*u). -450*u**4 Expand (4 - 4 - 1)*(70 - 65 - 5 - 19108*m). 19108*m Expand 40*b - 206*b - 162*b + 5*b - 2*b - b - 3*b + 0*b + b - 1 - b + 1 + 3*b + 0*b - 2*b - 1 + 1 + b + (2*b - 1 + 1)*(2 - 3 + 2) - 2*b + 2 - 2. -327*b Expand -8*g**2 + 2 + 78*g**2 + 10*g**2 + (5 - 1 - 2)*(449*g - 20*g**2 - 449*g). 40*g**2 + 2 Expand (-4 + 4 + 3*f**3 + (-4 + 4 + f**2)*(-7*f - f + f) - 2*f**3 - 2*f**2 + 2*f**2)*(6*f + 2*f - 6*f). -12*f**4 Expand (-10 - 9 + 3)*(180*d - 352*d + 175*d - 101). -48*d + 1616 Expand (-6636 - 1990 - 2328)*(i + 4*i - 4*i). -10954*i Expand (-3*m**3 - 6 + 6 + (2*m**2 - 2*m**2 + 2*m**2)*(-m + 3*m - m) + m**3 + m**3 + m**3)*(2 + 0 - 3)*(16*m**2 + 12*m - 12*m). -32*m**5 Expand (k + 5*k - 4*k)*(-1 + 3 - 3) - 2*k + k + 2*k - 96*k + 3350 - 3338 - 117*k - 11*k. -225*k + 12 Expand 366*u**2 - u**5 + 3*u**5 - 364*u**2 + (16*u**2 - 16*u**2 - 4*u**4)*(4*u - 3*u - 2*u). 6*u**5 + 2*u**2 Expand 30*y**3 + 5*y**3 + 23*y**3 + (2 - 5 + 4)*(5*y**3 - 17*y**3 + 23*y**3). 69*y**3 Expand -222*h**2 - 105*h**2 + 100*h**2 + (-2 + 2 + h)*(2*h - 2*h + 3*h). -224*h**2 Expand (7*b + 6 - 6)*(b + 0*b - 3*b + (-11 + 13 - 36)*(-2 - 1 + 4)*(b - 2*b - 2*b)). 700*b**2 Expand (2 + 3 + 1)*(y**2 + 4*y**2 - 2*y**2) - 127*y**2 + 49*y**2 - 2 + 19*y**2. -41*y**2 - 2 Expand (77 + 35 + 40)*(13*y - 15*y + 7*y)*((2*y + 3 - 3)*(-2 + 1 + 3) - y + 3*y + 0*y). 4560*y**2 Expand (-8*o**2 + 14*o**2 + 13*o**2)*(-2*o - 4*o**3 - o**3 - o**3). -114*o**5 - 38*o**3 Expand (2*u + 2*u**3 - 62 + 62)*(4 + 142 + 24). 340*u**3 + 340*u Expand (-8*s - 24*s - 49*s)*(8*s + 14*s + 19*s). -3321*s**2 Expand -86*b + 201*b + 97*b + 72*b + (-3*b + 0*b + 2*b)*(3 - 4 - 2). 287*b Expand (6*t**3 - t**3 + 4*t**3)*(-53*t + 64*t - 173*t). -1458*t**4 Expand (5 - 68 - 13)*(-4*k**2 + 9*k**2 + 2*k**2). -532*k**2 Expand -1590*o + 1590*o + 2586*o**3 + o - o - o**3 + 0*o + 0*o - o**3 + 1 + 2*o**3 - 1 + (-o + o - o**2)*(-o + 2 - 2). 2587*o**3 Expand 21*x**2 - 29*x**2 + 57*x**2 + (32*x**2 - 60*x**2 - 31*x**2)*(3 + 4 - 6). -10*x**2 Expand (6*f - f + 0*f)*(56*f**4 + 68*f**4 - 11*f**4) + 2*f**5 + f - f + 4*f**3 - 4*f**3 + 4*f**5 - 2*f**5 + f**5 + 2*f**5. 572*f**5 Expand -3*k**4 - 2*k**4 + 8*k**4 + (k**3 + 2*k**3 - 5*k**3)*(0*k - 2*k + k) + (47 + 0 - 10)*(-k - 1 + 1)*(-2*k + 2*k - 3*k**3). 116*k**4 Expand (10*t - t**3 - 10*t + (-4*t + 4*t - 2*t)*(-3*t**2 + 2*t**2 - t**2) + t**3 + 2*t**3 - 2*t**3 + (-4 - 2*t + 4)*(17*t**2 - t**2 - 4*t**2))*(3 + 0 + 0). -60*t**3 Expand (11 - 3 + 2)*(4*s + 2*s - 3*s + (6 - 3 - 2)*(6*s - 3*s - 2*s))*(-300 - 251 - 53). -24160*s Expand (15*o**3 + 65*o**5 - 37*o**5 - 25*o**5)*(11 - 7 + 41) + 3*o**5 - o**5 - 3*o**5. 134*o**5 + 675*o**3 Expand -746 + 746 - 261*w**2 + (0*w + 0*w + 2*w**2)*(-10 - 4 + 3) + 2*w - 2*w + 2*w**2. -281*w**2 Expand (-4*s + 4*s - 3*s**2 + (-1 - 1 + 4)*(-2*s**2 - 2 + 2) - 16*s + 16*s - 11*s**2)*(10 + 6 - 1). -270*s**2 Expand (-28*u + 2006 - 4*u - 2001)*(0 + 1 - 3). 64*u - 10 Expand -2*n**5 + n**5 - n**5 + (-3 - 4 + 6)*(-n**3 - 2*n**2 + 5022*n**5 - 2858*n**5 - 2860*n**5). 694*n**5 + n**3 + 2*n**2 Expand ((-2*d**2 + 5 - 5)*(-2 - 1 + 4) - 4090 + 4090 - 290*d**2)*((4*d - 2*d - 4*d)*(3 + 1 - 2) + 2*d - 3*d - d + 0*d - 3*d + d). 2336*d**3 Expand -28*f - 7*f - 8*f + (-3 + 4 + 0)*(0 - 2 + 1)*(f + 2 - 2). -44*f Expand (-7*s - 30*s + 0*s)*(14*s - 7*s + 39 - 44). -259*s**2 + 185*s Expand (3*w**3 + 0*w**4 + 2*w**2 - 5*w**4 - 5*w**4)*(-23 - 17 + 8). 320*w**4 - 96*w**3 - 64*w**2 Expand (146 - 294 + 147)*(47*d - 2*d - 224*d). 179*d Expand (5*f - 5*f + 8 - f)*(-6 - 6 + f + 7)*(4 + 7 + 6). -17*f**2 + 221*f - 680 Expand (-8 + 5 + 11)*(-34 - 28*h + 34) + 5*h + 0*h - 2*h. -221*h Expand (50 - 17*s - 50 + (2 + 4 - 3)*(5*s - s - 5*s))*(68*s**3 - 36*s**3 - 34*s**3). 40*s**4 Expand (1 + 0 - 2)*(3*c**3
{ "pile_set_name": "DM Mathematics" }
p**2 - 20*p - 20. Give d*u(v) + j*m(v). -4*v**3 Let z(f) = 736*f**2 - 828*f + 138. Let g(y) = y**2 + 6*y - 1. Determine -138*g(w) - z(w). -874*w**2 Let z(v) = -5*v**3 + 3*v**3 + 4*v**3 - 5. Let w(m) = -m**3 + 2. Let u(d) = 2*d + 17. Let b be u(-8). Suppose -5*h + b + 9 = 0. Calculate h*z(i) + 5*w(i). -i**3 Let c(u) = -u**2 + 1. Let p(r) = 53*r + 29. Let o be p(-1). Let x(f) = -40*f**2 + 24. What is o*c(b) + x(b)? -16*b**2 Let i(r) = -4*r. Let c(j) be the second derivative of -7*j**3/2 - j**2/2 + 9*j - 2. Calculate 2*c(g) - 11*i(g). 2*g - 2 Let j(m) = m**2 - 4*m - 4. Suppose -f + 30 = 5*f. Let u(a) = f + 1 - 5*a - 11 + 2*a**2. What is 4*j(n) - 3*u(n)? -2*n**2 - n - 1 Let z(g) = -4*g**2 - 10*g. Let x(d) = 4*d**2 + 8*d. Calculate 6*x(r) + 5*z(r). 4*r**2 - 2*r Let a(q) = q**3 - 1. Let s(o) = -o**3 - 1. Let n = -614 + 615. Give n*a(b) - s(b). 2*b**3 Let p(w) = 0*w - 2*w - 2*w + 355 - 357. Let d(y) = -y - 1. Let l = 1 - 2. Give l*p(a) + 2*d(a). 2*a Let q(i) = -2*i. Let x = -49 + 48. Let z(v) = -3*v - 2 + 1 + 4*v. Let j be z(x). Let c(h) = h**2 - 6*h. Give j*c(s) + 7*q(s). -2*s**2 - 2*s Let p(m) = -8*m**3 + m - 1. Let d(w) = -w**2 - 20*w + 123. Let u be d(-25). Let n(k) = -k**3 + k - 1. Determine u*p(t) + 2*n(t). 14*t**3 Let s = -2 + 10. Let c(g) = 2*g - 11*g + 10*g - 1 - 5. Let z(j) = -2*j + 17. Give s*c(m) + 3*z(m). 2*m + 3 Let d(z) = 3*z. Let p(k) be the second derivative of -2*k**3/3 - k. Let x = -264 + 178. Let v = x + 82. Give v*p(m) - 5*d(m). m Let y be (2/(-3))/(-1)*480/10. Let c = -37 + y. Let q(n) = n**2 + 2*n. Let u(i) = 2*i**2 + 4*i - 1. Calculate c*q(h) + 2*u(h). -h**2 - 2*h - 2 Let x(c) = -c**2 - 3. Let p(m) = 7*m**2 - 74*m + 17. What is -p(i) - 6*x(i)? -i**2 + 74*i + 1 Let w(k) = -5*k**3 - k**2 + k. Suppose 3*s + s = 36. Let i(c) = c**2 - 8*c - 2*c**2 + s*c - 4*c**3. Give 6*i(h) - 5*w(h). h**3 - h**2 + h Let l(h) = -295*h**2 + 3*h - 3. Let o(a) = 40710*a**2 - 413*a + 413. What is 413*l(q) + 3*o(q)? 295*q**2 Let o(b) = -9*b + 132. Let j(t) = 2*t - 4. Determine 2*j(z) + o(z). -5*z + 124 Let u(k) = 7*k + 11. Let g(c) = 4*c + 3. Let z(l) = 5*l + 3. Let t(s) = 3*g(s) - 2*z(s). Let r = 13 + 9. Let j be 12*((-3)/2 - -1). What is j*u(v) + r*t(v)? 2*v Let s(z) = 9*z**2 + 43*z - 2. Let y(v) = -26*v**2 - 134*v + 5. What is -11*s(c) - 4*y(c)? 5*c**2 + 63*c + 2 Let r(h) be the first derivative of 7*h**2/2 + h - 19. Let u(c) be the second derivative of 2*c**3/3 - 6*c. Suppose -n + 10 = -3*n. What is n*u(q) + 3*r(q)? q + 3 Let v(u) = -u**2 + 1. Let t(d) = -28*d**2 + 35. Suppose 5*q + 45 = 4*q + 5*b, -4*b = 2*q + 62. Calculate q*v(m) + t(m). 7*m**2 Suppose -9 = -26*w + 17*w. Let c(a) = 4*a**2 + a + 3. Let b(k) = -k**2 - 1. Calculate w*c(n) + 5*b(n). -n**2 + n - 2 Let p(n) = 2*n + 2. Let o(f) = -23*f + 3. What is -o(b) - 3*p(b)? 17*b - 9 Let m(f) = f**2 + 3*f**2 + 4*f + 0*f. Let k(j) = 3*j**2 - 3*j + 7*j - j. Suppose -12 + 2 = -2*g. Calculate g*m(v) - 7*k(v). -v**2 - v Let k be (-1 - -12) + (4 - 8). Let q(v) = -3*v - 3*v + 2*v + k*v**2 - 4 - 2*v. Let m(x) = 4*x**2 - 3*x - 2. Give -5*m(a) + 3*q(a). a**2 - 3*a - 2 Let j(u) = -3*u + 4. Let w be 24/3 - (-4 + 3 + -2). Let a(o) = -7*o - 8*o - 7*o + w + 14*o. Give 6*a(g) - 17*j(g). 3*g - 2 Let h(x) = -2*x**3 - 6*x**2 + 2. Let d(c) = 1. Let n(g) = g**2 + 17*g - 17. Let f be n(1). Calculate f*h(j) - 2*d(j). -2*j**3 - 6*j**2 Let n(h) = -4*h**2 - 5*h - 2. Let q(o) = 5*o**2 + 6*o + 1. Suppose 43 = -23*f - 95. What is f*n(a) - 5*q(a)? -a**2 + 7 Let g(j) = -7. Let v(n) = 5. Let f(h) = -3*g(h) - 4*v(h). Let r(i) = i - 3. Calculate 3*f(w) + r(w). w Let b(y) = 5*y**2 - 11*y + 17. Let o(k) = -6*k**2 + 13*k - 16. What is 5*b(x) + 4*o(x)? x**2 - 3*x + 21 Let y(g) = -5*g**2 + g + 5. Let f(o) = 11*o**2 - 2*o - 9. Calculate -6*f(i) - 13*y(i). -i**2 - i - 11 Let x(k) = -9*k - 2. Let g(d) = -d**3 + 38*d**2 - 107*d + 77. Let p be g(35). Let b(v) = -28*v - 6. Determine p*x(f) - 2*b(f). -7*f - 2 Let i be 3 - 7/(28/8). Let q(d) = d. Let b(p) = -p**2 - 21*p + 0*p + 19*p. Give i*b(x) + 4*q(x). -x**2 + 2*x Let v(d) = -4*d**2 + 15*d + 1. Let u(s) = 11*s**2 - 44*s - 4. Determine -3*u(z) - 8*v(z). -z**2 + 12*z + 4 Let m(h) = -1. Suppose 0 = 73*n - 76*n + 6. Let r(d) = d**2 - 10*d + 10. Let x be r(9). Let y(s) = -s**2 - s. Calculate n*m(v) + x*y(v). -v**2 - v - 2 Let y(p) = -p**2. Let h(k) be the first derivative of k**4 + 4*k**3/3 - k**2 - 447. Calculate -h(m) - 6*y(m). -4*m**3 + 2*m**2 + 2*m Let j = 81 - 79. Let i(v) be the second derivative of -3*v + 7/6*v**3 + 0*v**j + 0 + 1/12*v**4. Let x(d) = -d**2 - 8*d. Give 6*i(k) + 5*x(k). k**2 + 2*k Suppose y = -5 + 6. Let u(j) = j**2 - j + 1. Let d(h) = h. Let z be (2 - -2)*(34/(-8) - -4). Calculate y*u(g) + z*d(g). g**2 - 2*g + 1 Let v(d) be the second derivative of d**4/2 - 5*d**3/6 - d**2 - 12*d. Let f be -1 + ((-96)/8)/(-4). Let o(h) = 3*h**2 - 2*h - 1. What is f*v(m) - 5*o(m)? -3*m**2 + 1 Let z(r) = -5*r - 2. Let d(l) = -11*l - 4. Let s be (-112)/(-8) + 4 + -4 + -7. Calculate s*z(x) - 3*d(x). -2*x - 2 Let n(h) = h + 0 + 5 - 6. Let t(j) be the first derivative of -5*j**3/6 + 5*j**2/2 - 6*j - 6. Let v(x) be the first derivative of t(x). Give -11*n(q) - 2*v(q). -q + 1 Let r(n) = -11*n**2 - 11*n - 17. Let g(h) = h**2 - h + 1. Let w(y) = -10*y - 3. Let t(a) = -5*g(a) + w(a). Give 6*r(p) - 13*t(p). -p**2 - p + 2 Let b(g) = -69*g + 13. Let m(s) = s + 3. Determine -b(q) + 4*m(q). 73*q - 1 Let m(k) = 3*k**3 + 5*k**2 + 5. Let q(t) be the third derivative of t**6/20 + 3*t**5/20 + 3*t**3/2 + 15*t**2. Suppose -5*a + 55 = -16*a. Give a*q(n) + 9*m(n). -3*n**3 Let p(u) = -u. Let h be 130/110 + 4/(-22). Let s(z) = -3 - 4 + 6 - z**2 + 0*z**2. What is h*p(x) + 2*s(x)? -2*x**2 - x - 2 Let o(p) = 9*p**3 + 12*p**2 - 6*p - 3. Let j(t) = 8*t**3 + 10*t**2 - 5*t - 3. Determine -6*j(g) + 5*o(g). -3*g**3 + 3 Let k(s) be the third derivative of 19*s**5/60 - 5*s**4/24 + 5*s**3/6 - 2*s**2 - 18*s. Let v(g) = 161*g**2 - 42*g + 42. Calculate -42*k(j) + 5*v(j). 7*j**2 Let c(o) = -5*o**3 - 6*o**2 - 4*o + 110. Let a(f) = 11*f**3 + 14*f**2 + 9*f - 219. What is 3*a(k) + 7*c(k)? -2*k**3 - k + 113 Let k(t) be the first derivative of -t**3/3 + t**2/2 + t - 4. Let y(v) = 4*v**2 - 3*v - 2. Let s = -338 + 337. Calculate s*y(l) - 2*k(l). -2*l**2 + l Let g(j) = -3*j - 1. Let v = 24 + -24. Let n be 1/4*(v + 20). Let s(r) = -2*r - 1. Give n*s(a) - 3*g(a). -a - 2 Let u(n) = n**2 - 4*n + 1. Let d(s) = s**2 - 3*s + 1. Let a(o) = -o. Let i(k) = 8*k - 10. Let t(v) = -5*a(v) - i(v). Let q be t(4). Give q*u(b) + 3*d(b). b**2 - b + 1 Suppose -44*v = 12*v + 448. Let x be (-86)/(-18) + 2/9. Let c(l) = -14*l**3 + 14*l**2 - 8*l + 2. Let k(u) = -9*u**3 + 9*u**2 - 5*u + 1. What is v*k(a) + x*c(a)? 2*a**3 - 2*a**2 + 2 Let x(r) = -7*r**3 - 146*r**2 - 4*r + 8. Let o(k) = -6*k**3 - 145*k**2 - 3*k + 6. Determine 4*o(z) - 3*x(z). -3*z**3 - 142*z**2 Let y(s) = 1. Let x(k) = -2*k - 6. Let p(d) be the second derivative of -d**3/3 - 31*d**2 + 23*d + 1. Let z be p(-25). What is z*y(h) - 2*x(h)? 4*h Suppose -5*p + p + 24 = -4*n, n + 22 = 3*p. Suppose 7*v - 39 = 20*v. Let s be v/3 + p/(-2). Let z(l) = 4*l - 6. Let g(c) = c - 1. Give s*g(f) + z(f). -f - 1 Let f(z) = -z**3 - 7*z**2 - 10*z - 3. Let m(c) = c**3 + 6*c**2 + 9*c + 2. Calculate -6*f(a) - 7*m(a). -a**3 - 3*a + 4 Let z(t) = 103*t - 3. Let i(b) = 207*b - 5. What is 2*i(k) - 5*z(k)? -101*k + 5 Let q(o) = -o**2 - 8*o - 13. Let n be q(-5). Let i(t) = 8*t**2 + 4*t + 21. Let w(x) = 2*x**2 + x + 5. Calculate n*i(r) - 9*w(r). -2*r**2 - r - 3 Let d(f) = f + 9. Let l = 7 - 5. Let b(p) = -l*p - 16 - 3 + p. Let k(q) = 2*b(q) + 5*d(q). Let z(y) = -y - 2. Determine 2*k(g) + 7*z(g). -g Let h(d) = 9*d**3 - 5*d**2 - 5*d - 2. Let r(w) = -44*w**3 + 24*w**2 + 24*w + 12. Determine -24*h(v) - 5*r(v). 4*v**3 - 12 Let f(w) = 3*w**2 + 5. Let q(d) = d**2 + 1. Suppose 0 = -35*i + 7*i + 112. Give i*q(v) - f(v). v**2 - 1 Let s(l) be the first derivative of -l - 110. Let i(k) = -k + 6. Calculate -i(y) - 4*s(y). y - 2 Let r(v) = -2*v + 3. Let x(n) be the third derivative of -1/6*n**3 + 1/24*n**4 - 37*n**2 + 0 + 0*n. What is -r(b) - 4*x(b)? -2*b + 1 Let h(t) = 50828*t + 917. Let u(d) = 277*d + 5. Give 5*h(i) - 917*u(i). 131*i Suppose -18*j - h = -17*j, 5*h + 16 = 3*j. Let q(x) = -6*x**2 + 11. Let l(m) = m**2 - 2. Calculate j*q(p) +
{ "pile_set_name": "DM Mathematics" }
Let x = -10 + 11.7. Let t = 255 - 256.92. Let w = t + x. What is w rounded to 1 decimal place? -0.2 Let t = 2 + -0.5. Let j = -1.61 + t. Let c = j + 0.110038. Round c to five decimal places. 0.00004 Let z = 277 + -276.8818. What is z rounded to two decimal places? 0.12 Let u = 33171132.0000065 - 33171115. Let m = -5.6 - 11.4. Let r = u + m. What is r rounded to 6 dps? 0.000007 Let y = -8 + 10. Suppose 0 = -3*h - y*i + 648012, 2*h + 85805 = 2*i + 517823. Let g be h/(-18) + (-2)/(-6). What is g rounded to the nearest ten thousand? -10000 Let z = -57.0973 + 57.1. What is z rounded to 3 decimal places? 0.003 Let n = -1.5 - -2.7. Let r = -1.1 + n. Let p = -0.10000112 + r. Round p to seven dps. -0.0000011 Let c = -98393.158 + 98473. Let a = -0.158 - c. Let z = a + 79.961. What is z rounded to two decimal places? -0.04 Suppose 0 = 5*g - 20, 5*a = 2*g - 0*g - 10058. Round a to the nearest one hundred. -2000 Suppose -2*s + h + 52 = 0, -5*s + 3*h - 5*h + 139 = 0. Let i be 850003/5 - s/45. What is i rounded to the nearest 10000? 170000 Suppose 4*m + 4 = 0, 3*b + 2 = 5*m - 2. Let y(s) = 2*s + 5. Let c be y(b). Let p(l) = 211*l**2 + 2*l + 1. Let n be p(c). Round n to the nearest 100. 200 Let m = -1.68 - 50.32. Let v = 562326018.9999906 + -562325967. Let d = m + v. Round d to 6 decimal places. -0.000009 Let d = 177097 + 53203. What is d rounded to the nearest 100000? 200000 Let t = -0.71614336 - 28.2838562. Let n = -26.2 + -2.8. Let i = t - n. Round i to seven dps. 0.0000004 Let r = 29.114354 - -128.882456. Let o = 158 - r. What is o rounded to four dps? 0.0032 Let u = 5.553 - -0.047. Let k = -5.5906 + u. What is k rounded to three dps? 0.009 Let g = -1416.1 - -1424. What is g rounded to the nearest integer? 8 Let t = -0.1 + 1.1. Let m = 0.896970253 - -0.103029327. Let c = m - t. What is c rounded to seven dps? -0.0000004 Let l = 95.3 - 95.30094. What is l rounded to 4 dps? -0.0009 Let y(w) = -8*w**3 + 3*w**2 + w - 10. Let f be y(-6). What is f rounded to the nearest 100? 1800 Let f = 239684889 + -132384889. Round f to the nearest one million. 107000000 Let z = -385 + 384.9188. Let v = z + -0.3018. Let g = -0.252 - v. What is g rounded to 2 decimal places? 0.13 Let x be (-2)/(10/(-1565))*-1. Let t = -192 - x. Round t to the nearest ten. 120 Let g = -12.87 + 14.656. What is g rounded to 1 decimal place? 1.8 Suppose -4*h = -0*h - 2*n - 54, -h - 4 = -4*n. Let u be h/40 + (-11200002)/5. Round u to the nearest 1000000. -2000000 Let w be 627034/(-6) - 1/3. Let s(h) = 3609*h + 77. Let b be s(-19). Let p = w + b. What is p rounded to the nearest ten thousand? -170000 Let b = 209 + -931. Let y = -621.4 - b. Round y to the nearest ten. 100 Let h be 2/1 + (4 - 22400006). What is h rounded to the nearest one million? -22000000 Let w = 794.0663 + -794. What is w rounded to 2 dps? 0.07 Let q = -22 - -20.7. Let t = q + 2.1. Let z = t - 0.802. Round z to three dps. -0.002 Let j = 1876894.400095 + -1876889. Let k = -5.4 + j. Round k to five dps. 0.0001 Let u = -7.6272 - -7.44. Round u to 1 decimal place. -0.2 Let h = -0.271 - -0.051. Let l = -0.2175 - h. Round l to 3 decimal places. 0.003 Let q = -0.06 + -1.54. Let h = q + 4.6. Let a = -2.9996 + h. What is a rounded to three dps? 0 Let a = 1287.47 - 1276. Round a to the nearest integer. 11 Suppose -4*b = -b - 123750. Let a(c) = c**2 + 6*c + 4. Let n be a(-3). Let q be (80/(-3))/(n/b). Round q to the nearest 100000. 200000 Let l = 13650 + -13650.07949. Round l to 2 decimal places. -0.08 Let d = -157.12 - -159. What is d rounded to the nearest integer? 2 Let v = 0.004 - 0.00314. Round v to 4 decimal places. 0.0009 Let z = -0.035262077 + 0.03526. What is z rounded to six decimal places? -0.000002 Let t = 209.8986 - 210. Let p = -0.1 + 0.2. Let x = t + p. Round x to three decimal places. -0.001 Suppose -15*q = -10*q + 84950000. Round q to the nearest 1000000. -17000000 Let f = 31 + -21. Let n = -9.9956 + f. What is n rounded to three dps? 0.004 Let r = -9.7 - -29.5. Let c = r + -19.913. What is c rounded to two decimal places? -0.11 Let a = -64941 - -97534. Let u = 32579.9944 - a. Let w = -13 - u. Round w to 3 dps. 0.006 Let h = 98 - 193. Let i = -95.00000053 - h. What is i rounded to seven dps? -0.0000005 Suppose 157308157 + 75931843 = 28*n. What is n rounded to the nearest 1000000? 8000000 Suppose -202 = -3*x + 29. Suppose 0 = -4*t + 35 + x. Suppose t*a - 25*a = -9000. What is a rounded to the nearest 1000? -3000 Let n = 45.398165 - 45.4. Round n to three decimal places. -0.002 Let f = -232.019 + 232. Round f to two decimal places. -0.02 Let s = 0.76 - -1.33. Let t = s - 2.09000213. Round t to 7 decimal places. -0.0000021 Suppose -t + 0*t + 4 = 0. Suppose i + 7500000 = t*i. Round i to the nearest one million. 3000000 Let u(a) be the first derivative of 5*a + 3*a**2 + 4/3*a**3 - 2 + 449/4*a**4. Let v be u(-3). Round v to the nearest one thousand. -12000 Let h = 8748 + -7761.2. What is h rounded to the nearest ten? 990 Let b = 49.3005123 + -9.3005122. Let l = b - 40. Round l to 7 dps. 0.0000001 Suppose -19*n - 2*l + 16324 = -20*n, -l = 3. What is n rounded to the nearest one hundred? -16300 Suppose j + 349 = -72. Let z be (18275 + -1)/(2/j). Let a = 2336677 + z. Round a to the nearest one hundred thousand. -1500000 Let w = 11470032.79999956 + -11470035. Let p = -2.2 - w. Round p to 7 decimal places. 0.0000004 Let p = 23 - 44. Let c = -20.639483 - 0.361457. Let a = c - p. Round a to four decimal places. -0.0009 Suppose 10128300 = -32*l + 81*l. Round l to the nearest ten thousand. 210000 Let c = 3.26 - 3.6. Let x = -79.5688 - -79.9088038. Let o = x + c. What is o rounded to six decimal places? 0.000004 Let m = 181 - 177. Suppose 0*f - q = -4*f + 21912, -5459 = -f + 5*q. Suppose m*o - 2*b + 25594 = 0, 5*o + 26527 + f = -2*b. Round o to the nearest one thousand. -6000 Let a be 6/3 - (-1 + 6). Let q(y) = -3*y - 5. Let x be q(a). Suppose -5*w - f = 2449998, -w - x*f + 980008 = -3*w. What is w rounded to the nearest 100000? -500000 Let b = 1364 + -1364.000008204. Round b to six decimal places. -0.000008 Let j = 0.170423 + 136.156577. Let s = j + -137. What is s rounded to one dp? -0.7 Let c(r) = -99*r + 287. Let b be c(-7). What is b rounded to the nearest 100? 1000 Suppose 6*y = 3*y + 615000. Suppose -x - y = -2*x. What is x rounded to the nearest 100000? 200000 Let g = 27.3328 - 1.1506. Let h = g - 1.2342. Let v = h - 25. What is v rounded to two decimal places? -0.05 Suppose 2*b - 96144 = -2*m, -2*b - 17172 + 113302 = -5*m. Round b to the nearest one thousand. 48000 Let u = -4.7 + 3.3. Let g = -1.4000088 - u. What is g rounded to six dps? -0.000009 Let i = 183601428.99999876 - 183601378. Let v = 51 - i. Round v to 7 dps. 0.0000012 Let i = -1293776.93678 - 13.06322. Let s = i - -1293790.07000015. Let u = -0.07 + s. What is u rounded to 7 decimal places? 0.0000002 Let m = -2.8 + -25.2. Let b = 36809886 - 36809913.9999864. Let s = b - m. Round s to 6 dps. 0.000014 Suppose 18041535 = q + 8*q. Let p = q + -984615. What is p rounded to the nearest one hundred thousand? 1000000 Let a = -225.867 - -226. Let l = 0.027 + a. Round l to 1 decimal place. 0.2 Let y be (232176/(-10))/(54/112500). What is y rounded to the nearest 1000000? -48000000 Let p be 3/5 + (-2409019424)/(-35). Let o = -39829127 + p. Suppose 8*l - o = 3*l. Round l to the nearest one million. 6000000 Let f = -0.02940227 + 0.0294. What is f rounded to seven decimal places? -0.0000023 Let l = -2722.99133 + -0.00867. Let a = -2713.0088 - l. Let t = -10 + a. Round t to 3 decimal places. -0.009 Let s = -0.171881 - -0.1708. What is s rounded to four decimal places? -0.0011 Let u = -6410.005881 - -6410. Round u to three dps. -0.006 Let v(m) = -m**3 + 9*m**2 - 12*m - 11. Let l be v(7). Let p be 8/4 - (4445 - l). Round p to the nearest 1000. -4000 Let u(p) = -p - 14. Let n be u(-16). Suppose 3*m - 17 = -n. Suppose -m*v + 19999980 = -5*r, -3*r = v + 3*v - 16000012. Round v to the nearest 1000000. 4000000 Let r = 1324065.906874 + -1324064. Let z = 2.12682 - r. Let a = 0.22 - z. What is a rounded to five dps? 0.00005 Let j = -489 - -489.06425. Let z = j - 0.064. What is z rounded to four dps? 0.0003 Let p = 0.242 + -0.241999864. What is p rounded to seven dps? 0.0000001 Suppose -4*v
{ "pile_set_name": "DM Mathematics" }
e closest to -1 in 6, -2, 0.2? -2 What is the closest to -1 in 1.3, 2/95, -5? 2/95 What is the closest to -0.7 in -8/5, -2, -4/5, 0? -4/5 Which is the nearest to -0.1? (a) 227/4 (b) 0.2 (c) 3 (d) -5 b Which is the nearest to -1/735? (a) 3 (b) -0.5 (c) 0.3 c Which is the nearest to 0.1? (a) 1/7 (b) -11 (c) 50 (d) -1/2 a Which is the nearest to 2? (a) -2/3 (b) 0.4 (c) -0.048 b What is the closest to -1/21 in -0.1, -0.3, 3, 1? -0.1 Which is the nearest to -0.1? (a) 4 (b) -1/4 (c) 5 b What is the nearest to 0 in 4.4, -4, 1, 0? 0 Which is the closest to -90? (a) -1 (b) 0.4 (c) -5 (d) -4 c What is the closest to 0 in 6.03, 0, 4/3, 1/3? 0 What is the nearest to -2/13 in 3, -5, 2/9? 2/9 What is the closest to 1/8 in 3, 2, -1/2, 0? 0 Which is the nearest to 1? (a) 6 (b) 2/7 (c) -0.3 (d) 1 d Which is the nearest to -0.6? (a) 1/57 (b) 0.1 (c) 1/5 a What is the closest to -0.16316 in -0.2, 0.1, 5? -0.2 What is the closest to 0.08 in 28, 2, 3? 2 What is the nearest to -2/9 in 0.2, -0.17, -0.3, -4? -0.17 Which is the nearest to 0.06? (a) -4 (b) -53 (c) 1 (d) 5/3 c Which is the closest to -0.2? (a) -0.123 (b) 1/3 (c) -1/4 (d) 0 c What is the closest to 3 in -0.2, 2/125, -1? 2/125 What is the closest to -0.2 in 3, -1, 1/2? 1/2 Which is the closest to 0? (a) 1/4 (b) 114 (c) 1/7 c Which is the nearest to 5? (a) -4 (b) -3/2 (c) -5 (d) 0.3 d What is the nearest to 1/2 in 14, 2/3, -3? 2/3 What is the closest to 0 in 2, -3, -3/5, 0.4? 0.4 Which is the closest to 0? (a) 0.2 (b) -4 (c) 0.061 c Which is the nearest to 0.1? (a) 0.5 (b) 168/5 (c) -5 a Which is the nearest to 0? (a) 102 (b) 3 (c) 2 (d) 1/2 d What is the closest to 5 in 1/57, -5, -4? 1/57 Which is the nearest to -0.03? (a) -3 (b) 87 (c) -2 (d) -0.2 d Which is the closest to -0.32? (a) 2 (b) 1/8 (c) -5 b What is the nearest to 4 in 2, -2/15, 0.5, -1? 2 What is the nearest to 1 in 0, 0.7, 0.4, -2? 0.7 Which is the nearest to 0.1? (a) 4 (b) 3/5 (c) -0.14 c Which is the closest to -2/3? (a) 0.1 (b) 3 (c) 374/7 a What is the closest to -1 in 1/3, -3, -0.5, 1/4? -0.5 Which is the closest to -0.3? (a) 3/7 (b) -3 (c) -1 c Which is the nearest to -1/5? (a) 3 (b) -4 (c) 3/7 (d) 5 c Which is the nearest to -1/2? (a) -8 (b) -1 (c) -3 b What is the nearest to -1 in 5, 32, -3/2? -3/2 Which is the nearest to 2/7? (a) -7 (b) -4.8 (c) -2 c What is the closest to 0.2 in -1/4, 3, -616? -1/4 What is the closest to -16 in 2/7, 1, -3? -3 What is the nearest to -1/4 in 1, 4, 6, -1/10? -1/10 Which is the closest to -17? (a) 0 (b) 20 (c) 0.1 a What is the closest to 0 in -4, -0.22, 5? -0.22 What is the closest to 1/3 in 2/9, 5, -0.0333, -4? 2/9 Which is the closest to 1? (a) 57 (b) -2/7 (c) 1 (d) -4 c What is the nearest to 9/10 in -2/5, 0.5, -5, 3? 0.5 What is the nearest to 1 in 2, 75, -3, 0.3? 0.3 Which is the nearest to 2.7? (a) 3 (b) -2/5 (c) -6 a What is the nearest to 2 in -2, -0.2, 0.3, -3? 0.3 Which is the closest to 1? (a) 5 (b) -1/3 (c) 2 (d) -0.3 c What is the nearest to -2 in 2, 4, -0.1, 5? -0.1 What is the closest to 1 in 31/2, -2, -2/23, -50? -2/23 Which is the closest to 0.08? (a) 3 (b) 2/11 (c) 37 b Which is the nearest to -1? (a) -3 (b) 28 (c) 0.4 c What is the closest to 3 in 0.1, -16, 2/5? 2/5 Which is the closest to -0.2? (a) 0 (b) -1 (c) 6 (d) -0.1 d Which is the closest to -7? (a) -1 (b) 4/7 (c) 0.1 a Which is the nearest to -9? (a) -1/4 (b) -0.4 (c) 1 (d) -1/12 b What is the nearest to 1 in -0.2, -5, -181? -0.2 What is the nearest to -1/3 in 2, 0.4, 1/7, -3? 1/7 What is the nearest to -7/16 in 2/17, 2, 0.5, -0.3? -0.3 Which is the closest to 2/9? (a) 0.031 (b) -3/5 (c) 2 a Which is the nearest to -1? (a) -4 (b) -0.5 (c) -477/2 b Which is the nearest to -0.479? (a) 1/4 (b) -2/9 (c) -3 b Which is the closest to 0? (a) -5 (b) -4 (c) 0 c Which is the nearest to 1? (a) 0.27 (b) -59 (c) -4 (d) -0.2 a Which is the nearest to 97? (a) -1 (b) 4 (c) 3/2 b Which is the nearest to -1? (a) 1/3 (b) 0.2 (c) 0.09 c Which is the nearest to 2/3? (a) -10 (b) -3/5 (c) 0.03 (d) 3 c What is the closest to -0.1 in 13/2, 2/7, 0? 0 Which is the closest to 3? (a) 9 (b) 0.5 (c) -5 b What is the nearest to 39 in -1/46, -2, -0.2? -1/46 Which is the nearest to -1? (a) -3 (b) 2 (c) 0.02 (d) 3/4 c Which is the nearest to 0.4? (a) -4 (b) 0.02 (c) 0.2 (d) 0 c Which is the closest to 0? (a) -2/15 (b) -1 (c) 4 (d) -2/9 a Which is the closest to -1? (a) -1 (b) -3 (c) -23 a Which is the closest to -1/9? (a) -0.05 (b) 2/7 (c) 2/3 (d) -5 a Which is the nearest to -3/7? (a) -2/17 (b) -18 (c) -3/4 (d) -6 a What is the closest to 3/2 in 0.5, -0.05, -3? 0.5 Which is the nearest to 1? (a) 1.3 (b) -2 (c) 1 c Which is the closest to 1/2? (a) 213 (b) -2/11 (c) -6 b Which is the nearest to 2/335? (a) -2.4 (b) 2/9 (c) -1 b What is the nearest to -0.1 in -0.4, 0, -2/7, -3? 0 Which is the nearest to -0.2? (a) -4 (b) -3/2 (c) 0.5 (d) 1/5 d What is the closest to -3 in 0.4, -2/9, -4, 0.5? -4 What is the nearest to 0.1 in -0.1, -0.5, -2? -0.1 What is the closest to -14 in 2/9, -1/2, 2/7? -1/2 What is the closest to -0.1 in 0.3, 0.02, 1, -0.4? 0.02 What is the nearest to -5 in 3, 0, -5? -5 Which is the closest to -2? (a) -11 (b) -2/3 (c) -5 b What is the closest to -1/4 in 0, 1, -4, 5? 0 Which is the closest to 0? (a) 324/17 (b) 0.4 (c) -5 b Which is the nearest to -3? (a) -5 (b) 2/5 (c) -0.1 a Which is the nearest to 470? (a) 0 (b) 5 (c) 3/5 b What is the nearest to 0.08 in 1.1, -2/5, -7? -2/5 What is the closest to 4/15 in 0, 2/13, 4, 0.4? 2/13 What is the nearest to 0.3 in -12, 2/7, 11, -1/10? 2/7 Which is the closest to 2? (a) 1/5 (b) 19 (c) -6/11 (d) 1/7 a Which is the closest to -0.1? (a) 4 (b) 3 (c) 158 (d) 3/8 d Which is the nearest to 2? (a) -5 (b) 10 (c) -2 (d) -3 c What is the nearest to 5 in 3, -4, 5, -2? 5 What is the closest to -1 in 16, -0.5, -0.03? -0.5 Which is the nearest to -1? (a) 2 (b) 11 (c) 0.4 (d) -1.4 d Which is the nearest to -0.2? (a) -30/17 (b) 0.3 (c) -4 (d) -0.5 d What is the closest to -0.1 in 0.033, 0.2, -0.2? -0.2 Which is the nearest to 8/9? (a) 2/9 (b) -0.4 (c) 4 (d) 0 a Which is the nearest to -25? (a) 3/2 (b) 0.6 (c) 0.4 c Which is the closest to 0.2? (a) -3 (b) 3/5 (c) 0 (d) 0.2 d Which is the closest to -4/7? (a) 1/5 (b) 0.4 (c) -2 (d) -23 a What is the closest to -0.1 in 1.3, 5, -13/4? 1.3 What is the nearest to -41 in -1, 1/4, 5? -1 What is the nearest to -0.2 in -1, -2/5, -0.323, 3? -0.323 What is the closest to -13 in 1/2, 5, -2/15, 1? -2/15 Which is the closest to 56? (a) -0.1 (b) -20 (c) 0.2 (d) 1/2 d What is the nearest to 0.1 in 2/5, -485, -0.5? 2/5 Which is the nearest to 1/3? (a) 0.3 (b) 0.1 (c) 27 (d) 2 a What is the nearest to 0.1 in 2/11, 3, -2193, -1/5? 2/11 Which is the closest to 2? (a) 0.058 (b) 6 (c) 4/7 c Which is the closest to 0.1? (a) -1/3 (b) -3 (c) -37 (d) 0 d Which is the closest to 108? (a) -3/5 (b) 2 (c) -2/23 b Which is the closest to 0.2? (a) -7 (b) -0.5 (c) -1/9 (d) 2/17 d Which is the nearest to 2? (a) -5 (b) -3 (c) -0.5 (d) 18 c What is the closest to 1 in 0.5, 2/9, 638? 0.5 What is the closest to -0.48 in 1, -1/3, -0.05? -1/3 Which is the closest to 5? (a) 4/3 (b) -1 (c) -3 a What is the nearest to -0.3 in -3, 1, 3/5? 3/5 Which is the nearest to 0.4? (a) 6 (b) 3 (c) 7 b Which is the nearest to -1? (a) -0.03 (b) -0.1 (c) 3/5 b What is the nearest to 0.1 in 1/4, -2, 190? 1/4 Which is the closest to -2/7? (a) 0.2 (b) 0.5 (c) 1/4 (d) -0.2 d What is the closest to -1 in 2/21, 6/13, -1/4, 1/5? -1/4 What is the closest to 0.1 in -13, -26, 2/13, 0.2? 2/13 What is the nearest to -0.1 in 0.2, 5, -5, -1.3? 0.2 What is the nearest to 10 in -0.5, -27, -2/9? -2/9 Which is the closest to 0? (a) 3 (b) 1/4 (c) 0.1 (d) -2/5 c What is the closest to -1 in -2/3, 0.1, -7.14? -2/3 What is the closest to 1/2 in 4, 0.4, -3/128, 2? 0.4 Which is the nearest to -0.3? (a) -1 (b) -2/43 (c) 10 (d) -0.5 d What is the closest to 0.2 in -0.054, -1/4, 1/2, -0.4? -0.054 Which is the nearest to 1? (a) 2/5 (b) -0.11 (c) 12 a What is the closest to -0.13 in
{ "pile_set_name": "DM Mathematics" }
(-656)/24)*1/8. Let a = -2/3311 - -122579/119196. Let n = -7/9 + a. What is the closest to n in 0.5, h, -1? 0.5 Let d = -0.3 - -0.29. Let g be (10/(-25))/((-871)/335). Let y = 0 - -0.3. What is the nearest to 3 in y, g, d? y Let i = 0.23171 - -0.06829. What is the nearest to 0.3 in i, -0.3, 43, -0.1? i Let a = -945 - -633. Let c = 309.904 + a. Let b = c + 0.096. What is the closest to b in -3/4, -5, 0.3? -3/4 Let s be ((-15)/50)/(2/8). Let b be 5916/(-15) + ((-198)/(-30))/(-11). Let n = b + 1183/3. What is the nearest to -1 in n, 2/11, s? s Let y = 42 + -42.03. Let s = 7 + -12. Let l be (4 + s + 2)/(-5). Which is the nearest to 0? (a) 7 (b) l (c) y c Let i be -6*6/(-63)*7/6. Let b = -0.3 + -0.1. Suppose 8948*k - 8946*k + 2 = 8. What is the nearest to k in i, b, -2? i Suppose -26*d + 36*d = 0. Let g be 247/(-38) + (-2 - -8). Which is the nearest to d? (a) -2.2 (b) -0.1 (c) g b Suppose 4*d + 4*i + 143 = 103, -5*i - 47 = 2*d. Suppose 3*t = -t + 4. Which is the closest to d? (a) -4 (b) t (c) -0.02 c Let d = -147.804 + -0.196. Let n = d + 148. Which is the nearest to -0.2? (a) -1.14 (b) n (c) 5 b Let i = -3637.9 - -3638. What is the nearest to -2/29 in 1/4, 5.1, i? i Let d = -3/2275 - -2284/6825. What is the nearest to -0.1 in -1, 0.1, d, -2? 0.1 Suppose -4*y - 5*n + 11 = 0, 3*y - n + 15 = 3*n. Let i = 788 - 788.9. Which is the closest to -0.1? (a) 4 (b) i (c) y b Let y be (57/(-18))/(11/(64911/28)). Let o = y + 667. What is the closest to -2 in o, -3, -9? -3 Let l be 79/(-11) - 74/(-407). What is the nearest to 1 in 4, -10, l? 4 Let z = 22/25 - 2/25. Let q = 2271 - 2272. Which is the closest to q? (a) 0.3 (b) -8 (c) z a Let z = 0.4 + 0.1. Let s = -132 + 127. Let w(o) = -27*o - 215. Let t be w(-8). Which is the closest to t? (a) z (b) -5/3 (c) s a Let h = 0.56169 - 4.56169. Let l = -5 + 8. Let v be (-3)/(-14) - 2/(-7). Which is the nearest to 2? (a) v (b) h (c) l c Let w be ((-5)/(-40))/((-1)/6). Let k = 1.6 - 1.785. Let j = -0.085 - k. What is the closest to -7/3 in 1/8, w, j? w Let f = 20132 + -20126. What is the closest to f in 1, -3, -20? 1 Let h be ((-8)/30)/(28 - 5456/198). Let i = -0.3 - -0.4. Let m = 0.1 + i. Which is the closest to m? (a) -0.5 (b) h (c) 2 a Let w(c) = -219*c - 2849. Let x be w(-13). Let b = -2 - -6. What is the closest to x in b, -16, -3? -3 Let w = -758 + 767. What is the nearest to -2 in 2/9, w, -0.12? -0.12 Let b be (-1429)/(-8) - (-9 - (-9 - -3)). Let d = b + -182. What is the nearest to 2/3 in -4, d, 0.3? 0.3 Let g = -19.6316 - 3.0984. What is the closest to 0 in g, 1/6, 3, -2? 1/6 Let p = -170 - -174. Let u = 3 + 60. Let o = 59 - u. What is the nearest to 1 in o, p, 0.06? 0.06 Let p = 0.4 - 0. Let j be ((-6)/21 + (-5)/7)*5. Let v be (8/32)/(j/15). Which is the closest to 0.4? (a) v (b) p (c) 2/3 b Let k be (-2)/2 + (1 - 1). Suppose -7*j + 181 = -85. Suppose -15*s = j + 37. What is the closest to -4 in s, k, -0.4? s Suppose k - 2 = 0, -3*k - 17 = -4*d - 27. What is the nearest to 16/5 in 0.5, 0.6, -0.1, d? 0.6 Let z be -8*(-6)/(-20) - -2. Let u = 75 - 93.3. Let j = -18.5 - u. Which is the closest to z? (a) j (b) 0.06 (c) 0.2 a Let f = -8 - -7.9. Let z = -118 + 198. Let n = -80 + z. What is the closest to n in -0.4, -5/2, f? f Let t = 1 - 1.5. Let p = -82/5 - -16. Which is the closest to p? (a) t (b) -1 (c) -11 a Let y = 86.2592 - 0.1092. Let f = -85 + y. Let p = f - 0.65. Which is the closest to 0? (a) 5 (b) p (c) -0.2 c Let q be 5/(-3 + 50/15). Suppose 6*w + 3*z - 59 = 4*w, 0 = 3*z - q. Let p = -20 + w. Which is the closest to p? (a) -1/3 (b) -7/5 (c) 4 c Let y be (1625/13)/5*(-8)/(-70) + -4. What is the nearest to 2/13 in -2, y, 3? y Let f = -0.2 - -0.6. Let l = f - 0.3. Let g = 0.137 + -0.037. What is the closest to l in -1, g, 2/7? g Let u = -4/11 - -27/44. Let z(y) = y**2 - 97*y - 2. Let i be z(97). Which is the nearest to i? (a) u (b) 3/2 (c) 22/9 a Suppose -35*x + 45*x - 40 = 0. Let i = -5189/5 + 1037. What is the closest to 0 in i, 2/13, x, -2? 2/13 Let k be (-88)/(-2) - (0 + 2 + 2). Suppose 0 = 3*w + 4*m - 18, k*m = -3*w + 44*m - 6. Which is the nearest to -4/9? (a) w (b) -0.2 (c) 2/3 b Let w = -0.008 + 272.008. Let c = 276 - w. What is the nearest to 1/4 in c, -3/5, 5? -3/5 Let l = -1/1456 - 2907/7280. What is the closest to 1 in -0.2, 1/3, l, -113? 1/3 Let z = 8.9 + -8.949. Let a = z - -28.549. Let x = a + -29. What is the closest to -8 in -3, 5, x? -3 Let s = -10176 + 10174. Which is the nearest to -1/4? (a) 2/45 (b) s (c) 0.02 c Let g(i) = i**2 + 4*i - 18. Let s be g(3). Which is the nearest to -5? (a) -0.02 (b) s (c) 1/24 (d) -3 d Let d = -0.059 + 0.259. Let r = 337 - 336. What is the closest to -1/2 in d, r, 2/13, -3? 2/13 Suppose 0*m - 2*t = 5*m - 45, -5*m - 3*t = -45. Suppose m + 7 = -8*w. Let j = 5 - 4.9. Which is the nearest to 1/4? (a) j (b) w (c) -1/5 a Let w(k) = 15*k - 118. Let r be w(8). Let i = 0.38 - 0.08. Which is the closest to r? (a) 3/2 (b) i (c) -3 a Let c = 7232 - 7231.9. What is the closest to c in 18, -32, 1? 1 Let p be 90/24 - 3/4. Suppose 3*m + m = 4*j + 4, 0 = -5*j - 3*m + p. What is the closest to -0.3 in -5, 2/11, j? j Let a be (14 + 1188)*(-1)/6. Let m = a - -202. What is the closest to 0 in 0.3, 1/4, m? 1/4 Let k = -1 - 5. Let a = -3.2 + 5.53. Let b = -1.67 - a. What is the closest to b in k, 4, 5? k Suppose -6*x = -9*x - 6. Let z be x/(8/(-20)) - 2. Let w be z + -1 + -2 + 2. What is the nearest to w in -0.1, 3, -3? 3 Suppose 0 = 7*i + 4 - 32. Let s be 1/(((-17)/51)/(i/66)). What is the closest to s in -2, -5/3, -4/9? -4/9 Let d(h) = 2*h + 164. Let u be d(-78). What is the nearest to 3/10 in 0.1, u, -2/5? 0.1 Let p be (-4)/(-6) - 80/(-6). Let k be (-2688)/(-1728) - (-8)/(-9). Which is the closest to k? (a) 0.4 (b) -5 (c) p a Let l = 0.04 + 1.96. Let y = -0.817351 - -0.817351. What is the closest to l in y, -1/2, 0.02? 0.02 Let f = -762.1 + 991. Let b = -229 + f. What is the closest to b in 1.2, 4, 2/13? 2/13 Let x = 839 - 921. Let p = x + 82.075. What is the nearest to -0.2 in -1, p, -0.2, 0.1? -0.2 Suppose -4*t = 5*g + 15, 397*g + 5*t = 402*g - 30. What is the closest to g in 4/11, -8, -0.1? 4/11 Let q = 2.1105 - 0.1105. What is the nearest to 1 in -4, 1/15, q, 0.9? 0.9 Let q = -3797/15 + 2533/10. Which is the nearest to -1? (a) q (b) -0.2 (c) -0.01 (d) 0.219 b Let j = 1.727 - 1.727. Which is the closest to j? (a) -3 (b) 5 (c) 0.4 c Let v(k) = -157*k**2 - 631*k. Let x be v(-4). Which is the closest to 2/5? (a) 2/17 (b) x (c) 0 a Let b = -4774.932 - -4775. What is the closest to 0 in 3/8, 5, b, 2/7? b Suppose s + 4*f + 1 - 17 = 0, 2*s = -f + 11. Let n be (6/(-28))/(s/(-42)*3). Let y = 4.1 - 0.1. What is the closest to n in -3/2, y, -3/4? -3/4 Let d = -25 + 23. Let a be -3 - ((-24)/(-20) + -4). Let i = 3.1 + -2.1. What is the closest to d in i, 5, a? a Let w = -5550.032 - -5550. Let y be (-22)/(-8) - (5 + -2). What is the nearest to 0.1 in -0.3, y, w? w Suppose 4*v - 14*v = 11*v - 147. Which is the closest to 1? (a) 0.3 (b) v (c) -1/2 (d) -5/4 a Let c = 44.961 + -45. Let q = c + -0.161. Suppose -4*h = -0*h, 0 = 2*y + 3*h. What is the nearest to y in 3, -0.1, q? -0.1 Let y be (-2893)/(-44) + 4/16. Which is the closest to 1? (a) y (b) 2 (c) 5 (d) 3 b Let g(u) = -89*u - 717. Let x be g(-8). What is the nearest to -2 in x, -0.202, -9? -0.202 Let p = 39.3 - 39. Let f be (1/(-3))/((-11)/264). Let d be ((-4)/f)/(4 - 0)*-2. What is the closest to d in 3, p, -4? p Let d = 6517 + -6512. Which is the closest to -0.15? (a) -1/3 (b) d (c) -0.11 c Let h = 0.087 + 457.913. Let u = h + -462. What is the nearest to -21 in -0.3, 2/5, u? u Let j be (-9)/(108/4134) + -6 + 3/(-6). Which is the nearest to 2? (a) j (b) 0.4 (c) 0 b Let z = 2553.2 - 2557.2. What is the closest to -14 in 1/3, 0.01, 8, z? z Let w = -87.781 + 87.731. Let p = 0.1 + 0. What is the nearest to w in 2/17, p, -4, -2/7? p Let q = -21 + 26. Let h = 307.3 - 309.3. What is the closest to 2 in h, 7/2, q, -0.4? 7/2 Let l = 22517 + -22516.3. Let f = 0.03 - -0.97. Which is the closest to l? (a) 0.1 (b) 5 (c) f c Let q = -15.3292 + -0.0708. Let l = q + 15.7. What is the nearest to 12 in 2/3, -3, -3/7, l? 2/3 Suppose 5*j - 30 = 0, -186*x + 23 =
{ "pile_set_name": "DM Mathematics" }
**2 - 7*p**2 - 11*p**2)*(3*p - 1 - 4*p - 2*p) to w + c*p**3 + g*p**2 + a*p and give c. 39 Rearrange -28 + 29 + 38*d + d to q*d + g and give q. 39 Rearrange -14*f - 19*f - 16*f + 5 + 45*f to j + m*f and give m. -4 Express -14 + 35*k - 60*k - 3*k**2 + 25*k as c*k + j + f*k**2 and give f. -3 Rearrange 4*o**2 - 2*o**2 + 9 - 4*o**2 + o**2 to j + r*o**2 + l*o and give r. -1 Rearrange 23*y - 15*y - 18*y to w*y + b and give w. -10 Express 0 - 2*j**2 + 0 + (j - 2*j**2 - j)*(0 + 1 - 2) - 2*j**2 + j**2 - 3*j**2 in the form y*j**2 + q + n*j and give y. -4 Express (-1 - 6 + 4)*(-1 + 1 - 4*x)*(3 + 0 - 5) as l + z*x and give z. -24 Express (6*b - 2*b + 13*b)*(-2 + 6 - 4*b + 5*b) as h*b + m*b**2 + l and give l. 0 Express -2*t**2 - t**4 + 17*t**3 - t + 2*t**2 + 3 - 16*t**3 as q*t + y*t**2 + k*t**3 + f + a*t**4 and give k. 1 Rearrange -3*p**2 - 6 - 4*p**2 + 4*p**2 + 4 to the form i + l*p**2 + w*p and give i. -2 Express 1 + 3*f**2 - 1 - f**3 + 0 - 3*f as p*f + r + t*f**3 + v*f**2 and give p. -3 Rearrange (2 - 3*d - 2)*(-1 + 2 - 2) + 13*d + 5*d - 33*d to the form l + a*d and give a. -12 Express -42*x + 48*x + 37*x as c*x + d and give d. 0 Express 5*v - 1 + 3*v + 3*v as i*v + y and give i. 11 Rearrange a**4 + 3 - 2*a**4 + a**2 + 0*a**4 + 5*a**4 - a to x*a**3 + q*a + b*a**2 + r*a**4 + m and give m. 3 Express 3 - 127*j**2 + j**2 - 3 as d + x*j**2 + n*j and give x. -126 Rearrange -12*f + 6*f - 8*f to o*f + k and give o. -14 Express 0*i**3 - i**3 - i**3 + (-3*i + 2*i + 0*i)*(13*i**2 + 0 + 1 + 0) in the form c*i**3 + v*i + s + f*i**2 and give f. 0 Express (5 + o - 5)*(4*o - 2*o + o) + o**2 + o**2 + 0*o**2 + 16*o - 16*o + 3*o**2 in the form l*o**2 + t + z*o and give z. 0 Rearrange (1 - z**2 - 1 + 2*z**3)*(0*z - z - 6*z) to the form n*z**2 + a*z + l*z**3 + o + y*z**4 and give l. 7 Rearrange (-11*f - 6866 - 4*f + 6869)*(-3*f + 4*f - 2*f) to z + o*f**2 + n*f and give n. -3 Express 3*k + 58*k + 290*k - 144*k in the form s*k + y and give s. 207 Rearrange -i**4 + 3*i**2 - 3*i**4 + 1 + 6*i**4 + i**2 + i to the form q + j*i**2 + t*i + b*i**3 + f*i**4 and give j. 4 Rearrange 550*t - 550*t - 99*t**2 to n*t + a*t**2 + r and give a. -99 Rearrange (-d**2 + 2*d**2 + d**2)*(d + 2 - 2) + (36 - 4*d - 19 - 7)*(d**2 + 2 - 2) to m*d**3 + z*d + s*d**2 + n and give s. 10 Express 17*t - 23*t - 4 + 4*t**2 + 4 in the form v*t + y*t**2 + z and give v. -6 Express 0*m - 59*m**2 + 56*m**2 - 4*m - 5 as r + d*m**2 + a*m and give d. -3 Rearrange (28*o**3 - 15*o**3 + 9*o**3)*(2*o - o + 0*o) to the form g*o**2 + v*o**4 + x*o**3 + u + z*o and give v. 22 Rearrange (3*s + 2*s - 3*s)*(4*s**2 - 4 + 4) + (1 - 1 + s)*(-3 + 2*s**2 + 3) + 2*s**3 + 0*s**3 - 4*s**3 to the form u*s + p + h*s**3 + i*s**2 and give h. 8 Express -7*q**2 - 9*q**2 + 2*q**2 in the form o*q**2 + r*q + v and give o. -14 Express 6*w + 13*w + 6*w - 2*w**3 + w**3 in the form g + z*w**2 + v*w**3 + s*w and give s. 25 Rearrange (3*c - 3*c - c)*(-334*c + 719*c - 167*c) to the form g*c + l + o*c**2 and give o. -218 Express 2 - 49*r + 75*r - 2 in the form w*r + j and give w. 26 Express (-2*g - 7*g + 4*g)*(-2 + 2 - 2*g) + 3*g - 3*g + g**2 + (3*g - g + g)*(1 - 1 - g) in the form b*g + i + k*g**2 and give k. 8 Express -2*u**2 + 2 - u**3 - 2*u**2 + 2*u**2 in the form i + k*u**3 + b*u**2 + o*u and give k. -1 Rearrange 32 - w - 32 + 2*w**3 to the form x*w**3 + p*w**2 + l + v*w and give x. 2 Rearrange (0*i + 3*i + 0*i)*(1 - 13 + 3)*(3*i - 5*i + 4*i)*(0*i**2 - i**2 + 3*i**2) to n*i + b*i**2 + l*i**4 + h + f*i**3 and give l. -108 Express (21 + 43 - 5)*(3*a - a + 0*a) as v + g*a and give g. 118 Express 28*v**2 - 86*v + 86*v in the form y + h*v**2 + t*v and give h. 28 Rearrange 0*f - 3*f**4 - 3*f**2 - 7*f + f**3 + 11*f + f**4 to w + h*f**3 + o*f**2 + g*f + y*f**4 and give g. 4 Rearrange (0 + 2*x + 0)*(-2*x - x + 2*x + 1) to the form h*x**2 + g + q*x and give h. -2 Rearrange -x**2 + 23 + x**3 + 20 - 51 to the form q + k*x**3 + n*x + u*x**2 and give q. -8 Rearrange 10*l**2 + l**2 + 12*l**2 to the form v*l + n*l**2 + u and give n. 23 Rearrange -3 + 2*s - 3*s - 2*s**2 - 5 to v*s**2 + o + k*s and give v. -2 Express -25*z - 17 + 17 in the form q*z + b and give q. -25 Express (-4 + 1 + 1)*(-2*v + 2*v**2 + 2*v) + 406*v**2 - 742*v**2 + 101*v**2 in the form h + o*v + y*v**2 and give y. -239 Rearrange 190*q + 217*q - 523*q to the form v*q + d and give v. -116 Rearrange 6 + 3*d**4 + 2*d**2 + 12 + 2*d + 4 - 5*d**4 to f*d**2 + b*d**4 + m*d**3 + k*d + x and give b. -2 Express 1 - 6*d**2 + 7*d**3 - 2*d - d**4 + 4*d**2 - 7*d**3 as a + h*d**3 + g*d**4 + j*d + y*d**2 and give y. -2 Express 9*y**3 - 7*y**2 + 3*y**2 - 8*y**3 - 8*y**2 as u + j*y**2 + g*y + v*y**3 and give j. -12 Express 7*m + 7*m - 21*m + 6*m in the form r*m + b and give r. -1 Express (14 - 5*k - 14)*(3 - 6 + 1) + 4*k + 8 - 4 - 6 as m + j*k and give m. -2 Rearrange 8*s - s**2 + 1 + 6*s**3 + 0 - 8*s to the form k*s**2 + p*s**3 + r*s + f and give f. 1 Express -282*z + 1 - 3 - 2*z**2 + 269*z in the form v*z**2 + c*z + a and give a. -2 Rearrange (-w**2 - 3*w + 9 - 3*w - 11)*(0*w + 4*w - 2*w) to s + i*w**2 + v*w + p*w**3 and give v. -4 Express -241 + 12*o + o**2 + 241 + (5 - 5 + 2*o)*(2*o - 3*o + 0*o) in the form k + n*o + d*o**2 and give n. 12 Express 26*b + 40 - 40 in the form z*b + y and give z. 26 Express 0*t + 0*t - 4*t - 9*t as f + l*t and give l. -13 Express -8*j**4 + 8*j - 8*j + (-j + 0 + 0)*(2 + 0 - 3)*(0 + 2 - 1)*(-3 + 3 + 3*j**3) in the form g*j + n + o*j**3 + m*j**2 + x*j**4 and give x. -5 Express (-2*i**2 - 3 + 3)*(-4*i + 3*i + 26*i) as r + x*i + w*i**2 + p*i**3 and give p. -50 Express 0*b - 4*b + 16*b + 6*b as o*b + i and give i. 0 Express y**3 + 8 - 5 - 4 - y - 3*y**3 as l*y + s*y**2 + g + i*y**3 and give g. -1 Express 2*y + 4*y + 54*y as q*y + w and give q. 60 Express -20*g + 19*g - 25*g + (1 + 0 + 1)*(g + 4*g - 2*g) as z + m*g and give m. -20 Express 3*s**3 - 6*s**3 - 2*s - s**4 + 12 + 5*s**3 in the form v*s**4 + y*s**3 + z*s + u + x*s**2 and give x. 0 Express -10*u - 12*u - 20*u - 13*u as g + s*u and give g. 0 Express (6 + 6 - 2)*(11*k**2 + 0*k**2 - 29*k**2) in the form u*k + r + y*k**2 and give y. -180 Express -2 + 2*v**3 + 2*v**3 + 3*v - 2*v - 5*v**3 as z*v**2 + x*v**3 + h*v + f and give f. -2 Express -2*w**2 - w**2 - w**2 + 5*w**2 - 3*w in the form i*w**2 + l + f*w and give i. 1 Rearrange (2*h**2 + 2*h**2 - 6*h**2)*(-1 + 3 - 3*h**2 + 34*h**2) to i*h**2 + l*h + k + v*h**4 + j*h**3 and give j. 0 Express (-3*c + c + c)*(257 - 135 - 130)*(-1 + 4 - 2) in the form d*c + n and give d. 8 Express 6*f**2 - 6*f**2 + 3*f**2 + (3 - 5 + 1)*(0*f**2 + 2*f**2 - 3*f**2) + 3*f - 3*f + 2*f**2 - 3*f - f**2 + 3*f as t*f + k + m*f**2 and give m. 5 Rearrange -1 + z**2 - 3*z**4 - 9*z + 3*z + 2 - 2*z**2 to b + v*z**3 + c*z**2 + k*z + i*z**4 and give b. 1 Rearrange 33 + 19*m - 33 + m**2 to the form d*m**2 + r + y*m and give d. 1 Rearrange 8 - 21*g**3 + 5 + 19*g**3 to d*g**3 + v*g + a + q*g**2 and give d. -2 Rearrange 3*k + 5*k + k + (-k + 3*k + 0*k)*(-2 + 5 - 2) to the form n*k + y and give y. 0 Express 31*g**2 + 2*g**2 + 9*g**2 in the form h*g + w + d*g**2 and give d. 42 Express -9*x**2 - 11*x + 3*x**2 + 15*x as c*x + h*x**2 + f and give c. 4 Rearrange (14 + 14*d - 14)*(-d + 5*d - 3*d) - 4*d**2 + 0*d**2 + 2*d**2 to p*d**2 + g + v*d and give p. 12 Express 538*g**2 - 537*g**2 + 0*g - 22 + 0*g in the form f + p*g + z*g**2 and give f. -22 Express (-3 - 1 + 3*r + 2)*(-2 + 4 + 2 + (-5 + 0 + 3)*(0 + 7 - 2)) in the form j + z*r and give z. -18 Rearrange -338*t**3 + 3*t - 2 + 334*t**3 - 3*t**4 + 2 to the form j + u*t**4 + z*t + a*t**2 + c*t**3 and give c. -4 Express -2 + 2 + 2*o + (2 - 1 - 4)*(-o - 3*o + 5*o) + (-4 + 3 + 0)*(0*o + 4*o - o) in the form d*o + a and give d. -4 Express -18*i + 5 - 5 as d*i + o and give d. -18 Express (-13*l**3 - 7*l - 5*l + 14*l**3)*(16 + 11 + 9) in the form m + w*l + q*l**2 + c*l**3 and give c. 36 Rearrange 5191*r**4 - 5189*r**4 + 0 + 2 - 27*r**2 to m*r**2 + h*r**3 + s*r + u*r**4 + w and give w. 2 Rearrange -86*h - 57*h + 81*h to the form b*h + s and give b. -62 Express (2 - 1 + 0 + 1 + 4 - 4 + (2 + 2 - 2)*(-4 + 1 + 5) + 0 + 1 + 1 + 2 - 1 + 8)*(3*z - 2*z + 2*z) in the form w*z + y and give w. 51 Express 17*h**2 + 57*h**2 + 16*h**2 as s + c*h + x*h**2 and give x. 90 Rearrange -2*v**3 + 3*v**3 + 0*v*
{ "pile_set_name": "DM Mathematics" }
g(o) - w(o)? 4*o**3 - 15*o**2 + o + 1 Let z(t) = 144*t**2 - 27. Let h(s) be the second derivative of s**2 - 93*s - 11/12*s**4 + 0*s**3 + 2. Calculate 27*h(p) + 2*z(p). -9*p**2 Let r(c) = -62*c + 2. Let j(k) = 170*k - 7. Give 6*j(v) + 17*r(v). -34*v - 8 Let y(l) = -3*l**2 + 5 - 6*l**2 - 8*l + 3 - l**3. Let d be y(-8). Let c(r) = 8*r + 2*r**2 - 5*r - 47 + 81 + 5*r - 42. Let q(w) = w - 1. What is d*q(j) - c(j)? -2*j**2 Let p(k) = 9190*k**2 - 13*k - 39. Let z(m) = 4597*m**2 - 6*m - 18. Calculate 6*p(b) - 13*z(b). -4621*b**2 Let n = 97 - 97. Suppose n = 3*h + 4*s + 11, -2*h + 2*s = 6 - 8. Let k(y) = -4*y - 2. Let f(c) = -3*c + 0*c + 4*c. Determine h*k(w) - 6*f(w). -2*w + 2 Let x(i) = i**3 - 75*i**2 - 3*i + 4. Let m(j) = 77*j**2 + 3*j - 3. Calculate 4*m(o) + 3*x(o). 3*o**3 + 83*o**2 + 3*o Let w(l) = -31*l**3 - 17*l + 3. Let z(j) = -11*j**3 - 6*j + 1. Let k(g) = 6*w(g) - 17*z(g). Let v(t) = -9*t**3 - 4*t - 11. Determine 22*k(y) + 2*v(y). 4*y**3 - 8*y Let f = 182059 - 182060. Let m(b) = -4*b - 24. Suppose -1 + 3 = k. Let x(v) = 0 - 1 + k. Calculate f*m(s) - 24*x(s). 4*s Let k(r) = 76*r**3 - 10*r**2 + 19. Let t(u) = -63*u**3 + 10*u**2 - 18. Determine 5*k(m) + 6*t(m). 2*m**3 + 10*m**2 - 13 Let f(p) = 43 - 93 + 49. Let i = 40 - 35. Let d(l) = 2*l + 5. Let c(r) = -r. Let a(z) = -2*c(z) + d(z). Determine i*f(q) + a(q). 4*q Let y(q) = 4997 - 2494 + q - 2500 - 14*q. Let c(m) = -4*m + 1. Determine -14*c(u) + 4*y(u). 4*u - 2 Let c(g) = 6*g**3 + 4*g**2 + 3. Let r(o) be the second derivative of 19*o**5/20 + 11*o**4/12 + 4*o**2 + 1000*o. Give -8*c(m) + 3*r(m). 9*m**3 + m**2 Let m(q) = -10*q**2 - 7*q + 51. Let b(x) = -3*x + 2520 - 3*x**2 - 2503 + 0*x**2 + x. Give 7*b(y) - 2*m(y). -y**2 + 17 Let c(x) = 117*x + 10. Let d(w) = -118*w - 7. Give 5*c(l) + 6*d(l). -123*l + 8 Let r(y) = -2*y + 18. Let w = 115 - 107. Let s be r(w). Let v be (-10)/25 - (36/5)/s. Let o(f) = f. Let x(g) = 5*g. Give v*o(m) + x(m). m Let k(v) = -7*v**3 + 31*v**2 - 6*v + 21. Let b(x) = -9*x**3 + 32*x**2 - 8*x + 23. Give -3*b(l) + 4*k(l). -l**3 + 28*l**2 + 15 Suppose 0 = -55*z + 60*z + 4*u + 31, -u = -3*z - 22. Let h(a) = 27*a**3 + 7*a**2 - 7*a + 13. Let m(l) = -9*l**3 - 2*l**2 + 2*l - 4. What is z*m(t) - 2*h(t)? 9*t**3 + 2 Let p(z) = z**2 + z - 12. Let y(d) = d**2 + 2*d - 11. Let b be 3/((-7 - (-160)/25)/(4/10)). Give b*y(k) + 3*p(k). k**2 - k - 14 Let a(y) = -17*y**2 + 3*y - 3. Let z(x) be the first derivative of -40*x**3 + 10*x**2 - 20*x + 375. Give 20*a(l) - 3*z(l). 20*l**2 Let v(k) = 2188*k + 5. Let q(m) = 2189*m + 6. What is 5*q(u) - 6*v(u)? -2183*u Let h(c) = -770*c + 6. Let i be h(0). Let q(b) = -b + 22. Let y(n) = -n + 22. Give i*y(z) - 5*q(z). -z + 22 Let t(h) = 4*h - 1. Let i(l) = 0 + 1 + 3 + 62933*l - 3 - 62937*l. Determine -2*i(m) - 3*t(m). -4*m + 1 Let l(x) = -17*x**2 - 7808. Let y(k) = -4*k**2 - 1952. Calculate 2*l(c) - 9*y(c). 2*c**2 + 1952 Let z(u) = -1. Let y(w) = 5*w + 5. Let j(f) = 3*f + 3. Let q(l) = 11*j(l) - 6*y(l). Suppose 4*d = 7*d + 3*x - 12, -5*x + 8 = -7*d. Calculate d*q(h) + 6*z(h). 3*h - 3 Let b(f) = -f**2 + f. Let p(k) = -3*k**3 + 2*k**2 + 2*k. Let h be ((-4)/5)/(((-748)/85)/22). Give h*b(c) - p(c). 3*c**3 - 4*c**2 Let q(r) = r**2 + 125*r + 30. Let b(t) = -2*t**2 - 251*t - 68. What is 2*b(w) + 5*q(w)? w**2 + 123*w + 14 Let m(f) = -f**3 + 15*f**2 - 37*f + 16. Let d be m(12). Let y(s) = -2*s - 1 + 5*s - d*s - 2*s. Let p(v) = 13*v + 4. Determine 2*p(z) + 9*y(z). -z - 1 Let z(b) = -29*b**2 - 12*b + 41. Let r(c) = 60*c**2 + 25*c - 96. What is 3*r(s) + 7*z(s)? -23*s**2 - 9*s - 1 Let j(b) = -6*b + 9440. Let n(t) = 3*t - 4721. Determine 3*j(g) + 5*n(g). -3*g + 4715 Let o(k) = 2*k - 2. Let a(f) = -2*f + 1. Let m(u) = -u**3 + 2*u**2 + 2*u + 17. Let s be m(4). Determine s*o(h) - 6*a(h). -2*h + 8 Let c(m) = -81*m + 803. Let l(h) = 97*h - 803. Give 6*c(b) + 5*l(b). -b + 803 Let i(n) = -5*n - 4. Suppose 1086090*q - 1086137*q = -235. Let p(f) = 9*f + 7. Let v = -1 + 4. Calculate q*i(u) + v*p(u). 2*u + 1 Let y(w) = -w**2 + 12*w**2 + 10 - 2 - 5 - 17*w. Suppose -9 = -4*i + 11. Let m(g) = 3 + 4 - 1 + 4*g**2 - 6*g - i. What is -8*m(l) + 3*y(l)? l**2 - 3*l + 1 Let h(u) = -11*u**2 - 1845*u + 7. Let z(l) = -5*l**2 - 902*l + 3. Determine 4*h(b) - 9*z(b). b**2 + 738*b + 1 Let u(h) = 891*h**3 - 3*h - 3. Let l(p) = -297596*p**3 + 1003*p + 1003. Calculate -6*l(z) - 2006*u(z). -1770*z**3 Let n(g) = -149*g**2 - 5*g - 5. Let u(l) = -2*l**2 - l - 1. Determine -6*n(k) + 30*u(k). 834*k**2 Let p(r) = 28*r**2 + 23*r - 37. Let m(n) = -9*n**2 - 8*n + 14. Determine 17*m(h) + 6*p(h). 15*h**2 + 2*h + 16 Let q(u) = 2*u - 2. Suppose -r - 5 + 16 = 3*t, 2*r - t = 8. Suppose r*o - 43 = h, -5*h + 1 = -0*o + 2*o. Let d(y) = 6*y - 6. Give o*q(n) - 3*d(n). -2*n + 2 Let t(s) = 602*s + 7332. Let y be t(-12). Let i(j) = 126*j**2 + 108. Let h(c) = -c**2 - 1. Give y*h(q) + i(q). 18*q**2 Let o(l) = 16*l + 28. Let s(y) = y + 6. Determine -o(d) + s(d). -15*d - 22 Let r(b) = 338*b**2 - 12. Let z(v) = 306*v**2 - 11. Determine 3*r(c) - 4*z(c). -210*c**2 + 8 Let l(f) = -3*f + 2396. Let s(q) = -4*q + 3595. Calculate 7*l(g) - 5*s(g). -g - 1203 Suppose -270 = -372*q + 1962. Let j(p) = p**2 - p + 4*p**3 - 3*p**3 + 2*p. Let n(w) = 4*w**3 + 2*w**2 + 8*w. Give q*j(a) - n(a). 2*a**3 + 4*a**2 - 2*a Let g(d) = 2*d + 86. Let j(m) = -2 + 38 - 2*m - m + 7 + 4*m. Determine 4*g(s) - 9*j(s). -s - 43 Let i(z) = z**2 - 3*z + 4. Suppose -113*k - 183 + 267 + 368 = 0. Let v(r) = -r**2 + 6*r - 7. Determine k*v(f) + 7*i(f). 3*f**2 + 3*f Let a(b) be the first derivative of -b**4/4 - b**2 - 4*b - 6. Let g(u) be the first derivative of -u**4/4 - u**2/2 - 3*u - 503. Determine -2*a(m) + 3*g(m). -m**3 + m - 1 Let y(g) = -312*g**2 - 5*g - 43. Let j(f) = f**2 + 11. What is -4*j(h) - y(h)? 308*h**2 + 5*h - 1 Let l(i) = -2*i**2 + 29*i + 2. Let p be -9*((-2604)/(-189) - 14). Let h(a) = a**3 + 3*a**2 - 30*a - 3. Give p*h(q) + 3*l(q). 2*q**3 + 27*q Let i(c) = c**3. Let z(w) = w**3 - 113*w. Give -2*i(p) + z(p). -p**3 - 113*p Let o(y) be the third derivative of -5*y**4/24 - y**3/6 + 125*y**2 + 3*y. Let q(j) = -11*j - 1. Give 5*o(b) - 3*q(b). 8*b - 2 Let u(f) = -126*f + 65. Let y(v) = -v - 13. Give -u(j) - 6*y(j). 132*j + 13 Let b(a) = 5*a**2 - 13*a + 67. Let f(c) = -9*c**2 + 25*c - 135. Calculate -5*b(m) - 3*f(m). 2*m**2 - 10*m + 70 Let l(q) = -50*q**3 - 10*q**2 - 20*q + 34. Let m(j) = -4*j**3 - j**2 - 2*j + 1. Give l(f) - 10*m(f). -10*f**3 + 24 Let s(l) = 2*l**2 + 5*l + 4. Let a(d) = -5*d**2 - 2*d + 30. Let m(y) = -y**2 + 8. Let b(v) = a(v) - 4*m(v). What is 10*b(w) + 4*s(w)? -2*w**2 - 4 Let d(j) = 45*j + 2. Let a(p) be the second derivative of 11*p**3/3 + p**2/2 + 4531*p. Determine 9*a(x) - 4*d(x). 18*x + 1 Let x(q) = 5*q**2 + 3. Let p(z) = 11*z**2 + 6. Suppose -3*f + 13 = 3*u + 2*u, 5*u = 5*f + 5. Suppose -8 = u*n - 26. Give n*x(s) - 4*p(s). s**2 + 3 Let l(q) be the second derivative of -q**4/12 + q**3/6 + q**2/2 + 2*q - 366. Let w(s) = 7*s**2 - 4*s - 6. Give -5*l(r) - w(r). -2*r**2 - r + 1 Let g(l) = l + 1. Let y(b) = -b**2 + 19*b + 67. Let i be y(22). Let t(k) = 2*k**2 - 5*k - 3. Calculate i*t(z) + 3*g(z). 2*z**2 - 2*z Let i(c) = -441*c**2 - 36*c + 7. Let m(t) = -879*t**2 - 66*t + 13. What is 11*i(f) - 6*m(f)? 423*f**2 - 1 Let p(l) = 2*l**3 - 2*l**2 + 1. Let u(q) = 9*q**3 - 11*q**2 - 76. Give -3*p(s) + u(s). 3*s**3 - 5*s**2 - 79 Let q(t) = -171 - 3*t**3 + 181 + 2*t**3 + 2*t. Let v be q(0). Let u(o) = -13*o - 10*o - 4 + 21*o + 4. Let w(r) = r**2 - 5*r. Calculate v*u(i) - 4*w(i). -4*i**2 Suppose z = -n + 6*n + 20, -3*z + 21 = -2*n. Let l(d) = 2*d**2 - 2*d - 1. Let o(c) = -74*c**2 - 2 - 3*c + 76*c**2 + 2*c + 1. Determine z*l(f) - 6*o(f). -2*f**2 - 4*f + 1 Let g = -1 + 5. Let t(c) = -5*c - g + 4. Let y(d) = d. Let s(r) = -r**3 + 3*r**2 - 2*r + 1. Let l be s(2). What is l*t(v) + 6*y(v)? v Let d(a) be the second derivative of -19*a**3/3 + 4*a**2 - 26300*a. Let u(q) = 4*q + 6 - 17*q - 3. Give 3*d(l) - 8*u(l). -10*l Let c(a) = 2. Let k(w) = 17*w - 3. Calculate -3*c(j) - 3*k(j). -51*j + 3 Let u(r) = -594*r**3 - 5*r**2 + 9*r + 9. Let n(o) = 295*o**3 + 3*o**2 - 5*o - 5. Give -9*n(y) - 5*u(y). 315*y**3 - 2*y**2 Let t(s) be the second derivative of s**5/20 + 11*s**4/12 - s**3/6 + 2*s - 1980. Let v(d) = 2*d**3 + 21*d**2 - 2*d. Give -5*t(r) + 3*v(r). r**3 + 8*r**2 - r
{ "pile_set_name": "DM Mathematics" }
1938 and 0.5. 8616341938.5 Put together 2309947 and 20038. 2329985 Add together 9566.0773537 and -875. 8691.0773537 What is -0.2 less than -0.252385760645? -0.052385760645 Total of 1307344484 and -0.108. 1307344483.892 What is the distance between -0.2 and -421452853641? 421452853640.8 Work out 217694.05798 - -0.1. 217694.15798 Total of 0.46891319 and -846896. -846895.53108681 Calculate -279704 - -0.41964. -279703.58036 Put together 38974 and -236961.5436. -197987.5436 What is -4 less than -85547011300? -85547011296 What is 58 take away -1884243516? 1884243574 Add together -1460049273808 and 0.183. -1460049273807.817 Calculate 205898 + -7893858. -7687960 Add 0.5 and 5311258.7654. 5311259.2654 What is 4795072.0009 less than 0.3? -4795071.7009 Total of -6599960783140 and -95. -6599960783235 Add 0.0911011 and 307614. 307614.0911011 Calculate 141 + -1.14035071768. 139.85964928232 Total of -4 and -7527815910452. -7527815910456 -9656 + -1805068 -1814724 What is 364.65 less than 8223320016? 8223319651.35 What is -1.643 plus 35764950? 35764948.357 2 - -55351282488 55351282490 Sum -530783418 and 0.35. -530783417.65 What is 142.09 - 416600065? -416599922.91 What is 7152829203 minus 196? 7152829007 36158110.63365 + 0.1 36158110.73365 13.7194008 + 82017 82030.7194008 What is 866.26 take away 10444703? -10443836.74 Work out -2826585 + 111674606. 108848021 Total of -100583 and 0.13109. -100582.86891 What is 0.071 plus -4613671532? -4613671531.929 Add together 2 and -332274831.3826. -332274829.3826 Add -961.90341759 and -0.13. -962.03341759 Work out -0.5 + 21.28041265237. 20.78041265237 Calculate 24.06422 + -52773. -52748.93578 -1619 - -156526992 156525373 Put together 12 and 0.1679433849441. 12.1679433849441 -1.59+-176810049 -176810050.59 What is the distance between 0.1541 and -0.0031198064? 0.1572198064 What is -199578.74332 + -9.11? -199587.85332 0.1299391059719 - -0.1 0.2299391059719 What is -191646786 minus 5563? -191652349 What is 0.4 - 2127008837.77? -2127008837.37 Work out 10212648.118 + -0.1151. 10212648.0029 What is -2763 take away 953.6721065? -3716.6721065 Put together 853824.3 and 13730757. 14584581.3 What is -6.558591 + 6679.7? 6673.141409 What is -0.4 plus -269297563002? -269297563002.4 What is -131.7186532 minus 591? -722.7186532 What is 3192002 minus -46745845? 49937847 Calculate -0.0992 + 31009288384. 31009288383.9008 What is -7555.3 - 19859499842? -19859507397.3 504.5035 + 678.5535 1183.057 What is -12.84102003116 take away 90? -102.84102003116 Work out -22079 - 1997805.47. -2019884.47 What is 0.1000497699 minus 4969? -4968.8999502301 7439.76259+72379 79818.76259 957495003 - 14914 957480089 Add 1.153 and -2525568.75. -2525567.597 What is the difference between 11929717621 and 17? 11929717604 What is -77827883267014 plus -0.2? -77827883267014.2 Sum -0.83066176 and -20524. -20524.83066176 What is 94303 - 30140830? -30046527 Work out -27.152 - -174.823212. 147.671212 What is -3116846.71 take away 1207? -3118053.71 Work out 337405 + -16535837. -16198432 What is 1578927 less than -0.893741? -1578927.893741 Total of 47855275755 and -5. 47855275750 What is 0.511987 + -9251787.5? -9251786.988013 Sum 1348734189610 and -0.4. 1348734189609.6 -18.116 - 8188969 -8188987.116 Subtract 334161.8194 from 46. -334115.8194 What is -0.368 minus 1613118872? -1613118872.368 What is the difference between 209958 and 18660.986? 191297.014 What is -0.0684 take away -1915310.58? 1915310.5116 What is -1550624509428 take away -0.055? -1550624509427.945 Work out 1.13 + -2617424871. -2617424869.87 What is 711023645 plus -89.9? 711023555.1 -0.04 - -18055841972620 18055841972619.96 Calculate 33542966488 - -487. 33542966975 44325.9 + -6205367 -6161041.1 What is -0.13 less than 12212672769? 12212672769.13 What is -672496.74393 less than -1? 672495.74393 Work out 0.02193 + 524251.07. 524251.09193 What is 6937.917 plus 329269.7? 336207.617 Calculate 45.1 - -42981821016. 42981821061.1 What is 1335315075 plus -693? 1335314382 Add 1427644694765 and -2. 1427644694763 Subtract -11 from -33379.769214. -33368.769214 Total of 21.620338 and 0.7001078. 22.3204458 Calculate -2 + 600197147.214. 600197145.214 Subtract 0.21518779 from -1048461. -1048461.21518779 Add together -29256.2 and 339.83. -28916.37 Subtract -0.5 from -22240137244749. -22240137244748.5 Calculate 10084.24633 + 24903. 34987.24633 Total of 29 and 10605318666925. 10605318666954 What is -14203782 - -96641? -14107141 What is 0.03738 - -1766124.8? 1766124.83738 What is -48 - 1838035561? -1838035609 Calculate 9.83705412508 - -0.4. 10.23705412508 What is -2352 + -7155577905? -7155580257 Put together -31 and 6564864001261. 6564864001230 What is -7.4616 less than -12084118? -12084110.5384 Add 0.0718586964082 and -0.4. -0.3281413035918 What is -1766312580582 take away -44? -1766312580538 What is -365233919 - -2.35? -365233916.65 Calculate -207.52657444 - -721.73. 514.20342556 Put together 340698 and 17.57747. 340715.57747 What is 238676.23 plus 4895034? 5133710.23 107 + -30221623.436 -30221516.436 0.07 + 33608833282.2 33608833282.27 What is 9941802.68663 - 9? 9941793.68663 -60117008307 + 5 -60117008302 What is -19340926.17 minus -0.009? -19340926.161 Sum 10587148 and 9684. 10596832 Subtract -456 from 4604456039. 4604456495 -118412 + 4992027 4873615 What is the distance between 755825 and -57702746? 58458571 Sum 321231450 and -1528.8. 321229921.2 Add -18654 and 195.006809. -18458.993191 -572399.734532 - -0.6 -572399.134532 Sum -6 and 274.04613531. 268.04613531 Total of 0 and 42637367195. 42637367195 What is -246194396 minus 7957? -246202353 -385.784414973 + 0.031 -385.753414973 What is -15550998231 less than 3? 15550998234 Subtract -0.055419265 from 0.0079673. 0.063386565 What is -8123798268 minus 683? -8123798951 What is -52.3 less than -2270953129.8? -2270953077.5 Add -10969 and -3903153.25. -3914122.25 -0.1 + 2587.96856892 2587.86856892 -1834767+-417.82 -1835184.82 Calculate 0.395 - 124978384412. -124978384411.605 Work out -1859333.7 - -420013. -1439320.7 What is 9749438.34497 plus -0.4? 9749437.94497 What is -29 - 34884006593.66? -34884006622.66 -0.76 + -1689426246 -1689426246.76 Add 8836.596 and -165720.2. -156883.604 What is the distance between 2963848 and 30.810348? 2963817.189652 Work out 1981812588382 + 0.06. 1981812588382.06 What is 71000454 plus 591? 71001045 What is the distance between -20762775 and 0.026? 20762775.026 Sum 1.39 and -6183025238. -6183025236.61 What is -30116400984 minus 4457? -30116405441 What is the distance between -2485555344 and 472? 2485555816 Total of 0.239921527957 and 144.6. 144.839921527957 Add -7 and 631344893903. 631344893896 What is 365 less than 3959214243? 3959213878 2.7+2019.1779565274 2021.8779565274 Calculate -478914109 + -259. -478914368 Subtract -131917326399 from -134. 131917326265 What is -1033 - -260.56445856? -772.43554144 What is 0.1 minus 246666.98352? -246666.88352 What is -525927 + -9952956? -10478883 What is 358097450366 less than -1? -358097450367 Total of 0.00227 and 10191653. 10191653.00227 Work out 1.92 - 2828657550. -2828657548.08 What is -8867240 plus -6195.292? -8873435.292 Calculate -0.0035337 + 19.0443511. 19.0408174 What is the difference between 248700310029 and -351? 248700310380 What is 66.216201 take away 147? -80.783799 What is -592257.7258 - -2753? -589504.7258 What is -3.999619 + -0.0316845? -4.0313035 What is the distance between 8337 and 8775689106? 8775680769 Calculate 5415835419578 - 3. 5415835419575 What is 1.51766 less than 12866.68? 12865.16234 -5.79441152 - -0.61601 -5.17840152 What is 0.0633875238 + -1153? -1152.9366124762 What is the distance between 58832279212 and 3.8? 58832279208.2 What is -0.1 less than -23249076292555.2? -23249076292555.1 Calculate 133134499 + 3560350. 136694849 What is 62.374654058453 - 0.4? 61.974654058453 Add 1648.08348 and -162.2. 1485.88348 Work out -59.0485451505 - -45. -14.0485451505 Calculate 0.6 - 11605151535506. -11605151535505.4 What is 0.034 less than -15426.501758? -15426.535758 Calculate 0.1117 - 364805050. -364805049.8883 3.265389465 + -0.24 3.025389465 What is 16683.93325 plus 1.49883? 16685.43208 What is 184024 less than -11.9106? -184035.9106 Add -240790 and 160930.74. -79859.26 145.4 - 180917058 -180
{ "pile_set_name": "DM Mathematics" }
number? False Is 4073 a prime number? True Is 42739 composite? True Is 37217 a composite number? False Is 1903 a prime number? False Is 151337 prime? True Is 13093 a prime number? True Is 15727 a prime number? True Is 1697027 prime? True Is 15419 a prime number? False Is 2939 composite? False Is 238933 a prime number? False Is 28079 a composite number? True Is 1015709 a composite number? False Is 39002 a composite number? True Is 2033 prime? False Is 5847 prime? False Is 13443 composite? True Is 21211 a composite number? False Is 38543 composite? False Is 377219 a prime number? True Is 88513 composite? False Is 69253 prime? False Is 3713 composite? True Is 37678 prime? False Is 59879 a prime number? True Is 14387 composite? False Is 1653943 a composite number? True Is 184577 composite? False Is 10477 composite? False Is 1642 a composite number? True Is 322835 composite? True Is 413 composite? True Is 46745 a composite number? True Is 21363 prime? False Is 129379 a composite number? 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True Is 11929 prime? False Is 14243 a composite number? False Is 496841 a composite number? False Is 91049 a composite number? True Is 8842 a composite number? True Is 14963 a prime number? False Is 900607 a prime number? True Is 77431 a composite number? False Is 46807 a prime number? True Is 34511 a composite number? False Is 3643 prime? True Is 75503 prime? True Is 77789 prime? False Is 1330387 a prime number? False Is 7529 composite? False Is 11335 composite? True Is 10603 composite? True Is 869 composite? True Is 559667 composite? False Is 41401 composite? True Is 169003 composite? False Is 316337 composite? True Is 9386161 composite? False Is 671797 composite? True Is 26794 a composite number? True Is 12811 prime? False Is 34313 prime? True Is 8027 a prime number? False Is 27271 a composite number? False Is 21993 prime? False Is 72749 a prime number? False Is 3265971 prime? False Is 990251 a composite number? True Is 317227 a prime number? True Is 1112465 prime? False Is 65761 a prime number? True Is 8039 prime? True Is 33679 a composite number? False Is 66337 a composite number? False Is 17041 a prime number? True Is 1618957 a composite number? False Is 521 composite? False Is 816077 a prime number? True Is 49421 prime? False Is 12611 prime? True Is 6653 composite? False Is 73391 prime? False Is 772017 a composite number? True Is 36658 prime? False Is 1809271 a composite number? False Is 489869 a composite number? False Is 914323 prime? False Is 47917 a composite number? False Is 35491 composite? False Is 38803 composite? False Is 3319 composite? False Is 58757 composite? False Is 132077 prime? False Is 12461 a prime number? False Is 4703 a prime number? True Is 4889 a composite number? False Is 2789 a prime number? True Is 53953 a composite number? True Is 1513 prime? False Is 302693 prime? False Is 22823 composite? True Is 26309 a prime number? True Is 29443 a composite number? False Is 43853 prime? True Is 2053 a prime number? True Is 2723431 prime? True Is 40739 a prime number? True Is 467471 composite? False Is 7411 a prime number? True Is 71267 a composite number? True Is 2773 a prime number? False Is 273089 a prime number? False Is 13911 a prime number? False Is 1087 prime? True Is 427213 a composite number? False Is 114067 a prime number? True Is 31087 composite? True Is 11791 composite? True Is 7641649 a prime number? True Is 2524087 a composite number? False Is 576287 a prime number? True Is 21979 composite? True Is 13619 composite? False Is 11467 a composite number? False Is 652031 a composite number? True Is 10517 a prime number? False Is 24515 a composite number? True Is 3607 a composite number? False Is 53 composite? False Is 28349 a prime number? True Is 1963567 prime? True Is 1231547 a prime number? True Is 7031 composite? True Is 49253 composite? False Is 284917 prime? True Is 221422 a prime number? False Is 149 composite? False Is 148207 composite? False Is 4497 a composite number? True Is 5723 composite? True Is 13929 a prime number? False Is 124669 composite? False Is 59333 a prime number? True Is 1111445 a prime number? False Is 179611 composite? True Is 2491 a composite number? True Is 124427 a composite number? False Is 65167 a composite number? False Is 158971 a composite number? True Is 28761 prime? False Is 5899 composite? True Is 1651571 composite? False Is 5951 composite? True Is 20491 prime? False Is 845885 composite? True Is 31877 a prime number? False Is 1635737 a composite number? True Is 7517 composite? False Is 529601 prime? False Is 90347 a composite number? True Is 3847 a composite number? False Is 219335 composite? True Is 479143 a composite number? True Is 86186 a prime number? False Is 10687 prime? True Is 95603 a prime number? True Is 20813 composite? True Is 346697 a composite number? True Is 25073 a composite number? False Is 39883 a composite number? False Is 8347 a prime number? False Is 30769 composite? True Is 130003 prime? True Is 14129 a composite number? True Is 142957 composite? True Is 55877 composite? True Is 1847 a composite number? False Is 487077 a composite number? True Is 933233 a prime number? False Is 33223 composite? False Is 54721 a composite number? False Is 55457 a composite number? False Is 859723 prime? False Is 435077 composite? True Is 14503 a composite number? False Is 2562271 a prime number? False Is 1535 a composite number? True Is 556007 a composite number? False Is 164743 a prime number? True Is 100117 a prime number? False Is 5449 composite? False Is 2894 composite? True Is 38914 prime? False Is 585085 a prime number? False Is 1295495 prime? False Is 47935 composite? True Is 180641 prime? False Is 77683 a composite number? True Is 364499 prime? True Is 7211 a prime number? True Is 303871 a prime number? True Is 196291 prime? True Is 19531 a composite number? False Is 122593 prime? False Is 1015429 prime? False Is 158047 a prime number? True Is 4907 prime? False Is 12097 composite? False Is 271127 a composite number? False Is 84377 composite? False Is 7217 a composite number? True Is 959 a composite number? True Is 7253 a composite number? False Is 18595 a composite number? True Is 40693 prime? True Is 10999 prime? False Is 5167 a
{ "pile_set_name": "DM Mathematics" }
-144 + 146. Find z, given that -15*z**2 + 17*z**k - 4*z - z**4 + 1 + 4*z**3 - 5*z**2 + 3 = 0. -1, 1, 2 Let z = 143 - 141. Let s be z/(-13) - 3*(-20)/390. Solve 3/4*g + s + 9/4*g**3 - 3*g**2 = 0 for g. 0, 1/3, 1 Let n(h) = -10*h**2 - 315*h + 325. Let x = 280 - 283. Let k(j) = -5*j**2 - 157*j + 162. Let b(d) = x*n(d) + 5*k(d). Factor b(m). 5*(m - 1)*(m + 33) Let o(x) be the third derivative of -2*x + 1/480*x**6 - 32*x**2 + 0*x**4 + 1/120*x**5 + 0 + 0*x**3. Factor o(v). v**2*(v + 2)/4 Suppose -2944*i = -3031*i + 261. Factor 3*p - 15/4*p**i + 3/4*p**4 - 6 + 9/2*p**2. 3*(p - 2)**3*(p + 1)/4 Let t = -612 + 623. Let u be (t - (-5344)/(-504)) + 2/(-18). Factor -8/7*o**3 + 10/7 + 8/7*o + u*o**4 - 12/7*o**2. 2*(o - 5)*(o - 1)*(o + 1)**2/7 Let r = 230 + -221. Let g(z) be the first derivative of -r + 26/3*z**4 - 70/27*z**6 - 124/45*z**5 + 0*z - 16/9*z**2 - 16/27*z**3. What is w in g(w) = 0? -2, -2/7, 0, 2/5, 1 Let d(q) be the second derivative of 1/2*q**3 + 1/16*q**4 + 105*q + 0 - 15/8*q**2. Determine p, given that d(p) = 0. -5, 1 Let v = 23 - 20. Let 74*r - 105*r**2 + 432 - 2*r**4 + 379*r + 48*r**v + 369*r**2 + 123*r + 5*r**4 = 0. Calculate r. -6, -2 Let u = -643 - -642. Let p be u - ((-161)/45 + 36/45). Let 4/9*b**3 - p*b + 0 + 2/9*b**4 - 8/9*b**2 = 0. What is b? -2, 0, 2 Let p be 3 + (-220)/209 + 28/532. Factor 4*l + 2/3*l**p + 6. 2*(l + 3)**2/3 Let f be (-5)/5*186/(-31). Let b(u) be the second derivative of 7/50*u**5 + 1/15*u**f + 0 - 9*u + 1/10*u**4 + 0*u**2 + 1/105*u**7 + 0*u**3. Factor b(y). 2*y**2*(y + 1)**2*(y + 3)/5 Let o(b) be the third derivative of -b**6/24 - b**5/2 + 35*b**4/24 + 50*b**3 + 323*b**2 - b. Let o(g) = 0. Calculate g. -5, -4, 3 Factor 104907 + 561*s + 3/4*s**2. 3*(s + 374)**2/4 Let h(b) = 15*b**3 + 46*b**2 + 47*b + 16. Let u(m) = 45*m**3 + 139*m**2 + 143*m + 49. Let o = -420 + 416. Let s(d) = o*u(d) + 11*h(d). Factor s(q). -5*(q + 1)**2*(3*q + 4) Let r(g) be the first derivative of -g**4 + 136*g**3/3 - 342*g**2 - 1944*g - 1414. Let r(t) = 0. What is t? -2, 9, 27 Let i(s) be the second derivative of -2 + 4/3*s**2 + 16/9*s**3 - 44*s + 1/6*s**5 + 17/18*s**4. Factor i(n). 2*(n + 1)*(n + 2)*(5*n + 2)/3 Suppose -7616 + 32681 = 15*u. Let p = -1669 + u. Determine j so that 0*j**p + 0*j + 1/5*j**4 + 0 - j**3 = 0. 0, 5 Let y(g) be the third derivative of -g**5/12 - 25*g**4/6 - 95*g**3/6 + 152*g**2 + 5*g. Factor y(l). -5*(l + 1)*(l + 19) Let s(z) = 7*z + 36. Let a be s(-8). Let i be (11/(-55))/(2/a). Factor -c**i - c**3 + 1 - 48*c + 38*c + 11*c**3. (c - 1)*(c + 1)*(10*c - 1) Let f(k) be the first derivative of k**8/7560 - 11*k**6/810 - 2*k**5/45 + 5*k**4/12 - k**3 + k + 78. Let v(b) be the third derivative of f(b). Solve v(h) = 0. -3, 1, 5 Let i(z) = 15*z**3 - 628*z**2 - 3884*z + 4497. Let b(m) = -m**3 + 42*m**2 + 259*m - 300. Let x(q) = 93*b(q) + 6*i(q). Find r, given that x(r) = 0. -6, 1, 51 Let u(q) = -3*q**2 + 18*q - 11. Let d be u(5). Solve -8*a**3 + 4*a + 41*a**4 + d*a**5 - 6 - 2 - 49*a**4 + 16*a**2 = 0. -1, 1, 2 Let w be 62/12 - (23/2 - 7). Factor -2*g**2 + w*g**3 + 0 + 0*g. 2*g**2*(g - 3)/3 Let c(y) be the third derivative of -y**7/210 + y**6/60 + 56*y**5/15 - 75*y**4/4 + 75*y**3/2 - 2*y**2 - 5*y + 13. Factor c(x). -(x - 15)*(x - 1)**2*(x + 15) Let -930 - 805*o**3 - 194*o - 646*o + 160*o**3 + 1530*o**2 + 10*o**4 + 2095*o = 0. What is o? -1, 1/2, 3, 62 Let d = 23 - 17. Factor -18*s**2 - 23*s**2 + 46*s**2 - d*s + s**3. s*(s - 1)*(s + 6) Suppose 217*l - 208*l = 4905. Let c = 545 - l. Factor 1/2*a**3 + c + 2*a**2 - 5/2*a. a*(a - 1)*(a + 5)/2 Let l(k) = -3*k**2 - 13*k + 13. Let p be l(-5). Factor -302*a**2 + 3*a**5 + 104*a - 13*a**4 - 23*a**4 + 171*a**p + 364*a - 216 - 100*a**2. 3*(a - 3)**2*(a - 2)**3 Let z be ((-320)/(-160))/((0 - -1)/(11/110)). Let 0 - 1/5*w**5 + z*w**3 - 2/5*w**2 + 2/5*w**4 + 0*w = 0. Calculate w. -1, 0, 1, 2 Let n(a) = a**2 + a. Let z(r) = -r + 10. Let i be z(9). Suppose 2*c - i = c. Let w(y) = -4*y. Let f(m) = c*w(m) + n(m). Let f(x) = 0. Calculate x. 0, 3 Suppose -4*s + 163 = -49. Factor 32 + 6 + s*z + 4 + 8*z**2 + 9*z. 2*(z + 7)*(4*z + 3) Let q(j) = -29*j**2 + 86*j - 53. Let s be q(2). Factor -2/11*d**s - 4/11 + 0*d**2 + 6/11*d. -2*(d - 1)**2*(d + 2)/11 Let u = -45911/1200 - -957/25. Let z(v) be the third derivative of -4*v**2 + 0*v**4 + u*v**6 + 0*v + 0*v**3 + 0 + 1/24*v**5. Factor z(h). 5*h**2*(h + 1)/2 Find a, given that 2*a**3 - 78*a**2 - 5*a**3 + 351*a + 11200 - 11470 = 0. -30, 1, 3 Suppose 0 = 5*t + 5*g - 35, -g - 3 = -5*t + 2*g. Suppose -36*d**2 - t*d**3 - 33*d - 1104 + 1104 = 0. Calculate d. -11, -1, 0 Let i be 453663/46683 + (-4)/78. Suppose 1/3*u**2 - i*u + 0 = 0. What is u? 0, 29 Let y = 43068 - 43066. Solve -15/7 - 3/7*u**y - 18/7*u = 0. -5, -1 Suppose 0 = -3*z - 2*g - 1567, 3*z + 3*g + 0*g + 1566 = 0. Let y = -3660/7 - z. Determine u so that -1/7*u**2 + y + 0*u = 0. -1, 1 Let f(h) = -1627*h - 84. Let r be f(-2). Let l be r/300 - 3/18. Factor -338/5 - l*i - 2/5*i**2. -2*(i + 13)**2/5 Let b be -38 - 0 - (-1*4 - -2). Let l = b - -43. Let x(v) = 19*v**2 + 8*v + 3. Let k(u) = -13*u**2 - 5*u - 2. Let p(s) = l*k(s) + 5*x(s). Factor p(j). (j + 1)*(4*j + 1) Determine v, given that 816 - 4/3*v**2 + 2444/3*v = 0. -1, 612 Let i(g) be the second derivative of -g**5/40 + 29*g**4/8 + 59*g**3/4 + 89*g**2/4 - 4*g + 1. Let i(z) = 0. What is z? -1, 89 Factor -172*h**2 + 164*h + 169*h**2 + 3471 - 392*h. -3*(h - 13)*(h + 89) Let k(f) = -3*f**4 + 9*f**3 - 43*f**2 + 47*f - 16. Let j(t) = -7*t**4 + 16*t**3 - 87*t**2 + 94*t - 31. Let g(i) = -2*j(i) + 5*k(i). Let g(q) = 0. What is q? 1, 2, 9 Determine o so that -4*o - 1/3*o**2 - 32/3 = 0. -8, -4 Let j(n) be the third derivative of 2/45*n**5 - 161*n**2 + 0 + 2/3*n**3 - 1/180*n**6 + 0*n + 11/36*n**4. Suppose j(c) = 0. What is c? -1, 6 Factor -f**4 + f**3 - 14*f**2 - f**3 + 138 - 58 - 65 - 16*f**3 + 16*f. -(f - 1)*(f + 1)**2*(f + 15) Let o(j) be the first derivative of 53 - 23/4*j**4 - j - 3/4*j**6 + 17/5*j**5 + 4*j**3 - 1/4*j**2. Determine w, given that o(w) = 0. -2/9, 1 Suppose 27 = -11083*w + 11092*w. Let t(p) be the first derivative of 2/3*p**2 - 1/12*p**4 - 4/3*p - 5 + 1/9*p**w. Determine d so that t(d) = 0. -2, 1, 2 Let a(o) = 2*o + 6. Let f(i) = i**2 - 271*i - 12. Let y(b) = -2*a(b) - f(b). Let y(u) = 0. Calculate u. 0, 267 Suppose 0 = -11*p - 751 + 795. Let r(u) = -2*u. Let z be r(-1). Factor -5*n**3 - n**3 + z*n**4 + 2*n**p - 2*n**4 + 6*n**2 - 2*n. 2*n*(n - 1)**3 Let x be (32/6)/(((-40)/15)/(-4)). Suppose -u = 3*f - 6, -3*u + x = 4*f + 2*u. Factor 4*w**2 + 15*w**3 - 3*w**f - 5*w**2 - 6*w**2 - 5*w**5. -5*w**2*(w - 1)**2*(w + 2) Find c such that -1/5*c**2 + 39/5*c - 224/5 = 0. 7, 32 Let y(o) be the second derivative of -3*o**5/80 + 3*o**4/4 + 8*o**3 - 1350*o. Suppose y(p) = 0. Calculate p. -4, 0, 16 Let u(v) be the first derivative of 2*v**3/39 + 804*v**2/13 - 248*v + 15927. Factor u(j). 2*(j - 2)*(j + 806)/13 Let m(a) be the third derivative of -a**9/12096 - 5*a**8/576 - 17*a**7/504 - 31*a**5/30 + 170*a**2. Let y(q) be the third derivative of m(q). Factor y(u). -5*u*(u + 1)*(u + 34) Determine y, given that -15/2*y**3 + 15/2*y**2 - 5/2*y**4 + 55/2*y + 15 = 0. -3, -1, 2 Factor y**2 + 1/2*y**5 + 163/2*y - 82*y**3 - 41 + 40*y**4. (y - 1)**3*(y + 1)*(y + 82)/2 Let q(j) be the third derivative of -j**6/10 + j**5/20 + j**4/2 - j**3/2 - 1143*j**2. Factor q(n). -3*(n - 1)*(n + 1)*(4*n - 1) Let n(a) be the second derivative of 75*a + 3*a**2 + 0 + 1/15*a**6 - 2/3*a**4 + 2/3*a**3 - 1/5*a**5. Factor n(f). 2*(f - 3)*(f - 1)*(f + 1)**2 Let w be 12/(-26) - (-324696)/53950*30/9. Factor -w*n**2 + 28/5*n - 2/5. -2*(7*n - 1)**2/5 Solve 2/5*w**5 - 126*w + 0 + 1056/5*w**2 - 44*w**3 - 208/5*w**4 = 0 for w. -3, 0, 1, 105 Let t be 756/7*(-4)/(-6). What is h in 168*h**3 + t + 32*h**5 + 308*h**2 - 12*h**5 + 108*h**5 - 266*h**4 - 300*h - 118*h**4 = 0? -1, 1/2, 3/4, 2 Let c = 167 + -165. Find a such that a + 5*a**2 + 6*a**3 + 9*a + 8*a**2 + 2 + a**c = 0. -1, -1/3 Let r(v) be the second derivative of -v**7/6300 - v**6/90 - v**5/3 + v**4/12 + 38*v**3/3 + 130*v. Let g(j) be the third derivative of r(j). Factor g(i). -2*(i + 10)**2/5 Let n = 434 - 441. Let d be n - (-20 + (-5 - -13)). Factor -24/5*b**2 - 6/5 + 6/5*b**4 - 21/5*b - 6/5*b**3 + 3/5*b**d. 3*(b - 2)*(b + 1)**4/5 Let a(w) = -5*w**2 + 18*w
{ "pile_set_name": "DM Mathematics" }
69.1. Let j = u + -68.97. Which is the smallest value? (a) -2 (b) -3 (c) 2 (d) j b Let f = 37 - 35. Let a = -1.6 + f. What is the biggest value in a, -0.2, -2/3? a Let x = 878.7 + -879. Let y = -0.3 + 0.1. Which is the third smallest value? (a) x (b) 4 (c) y b Let l = -0.102 - -0.602. What is the third smallest value in l, -2, -4? l Let g be -4 + (-6)/(-15)*38/4. What is the third smallest value in 0.18, -0.04, g? 0.18 Let r = 48 + -44. Suppose -55 = -5*o - 0*q + q, r*o - 23 = 5*q. What is the biggest value in o, 1, -3/7? o Suppose -5*h - 5*n = 15, -h - 3*n = -n + 4. Let f be -1*(-5)/(-23 + h). Which is the second biggest value? (a) 0.2 (b) f (c) -2/5 b Let o = -542.031 + 545. Let w = o + 0.031. Which is the third smallest value? (a) 0.2 (b) w (c) -0.1 (d) -0.13 a Let x = 497/4290 + 5/286. What is the second biggest value in x, 0.3, 0.36? 0.3 Let x = 3 - 17. Let s = x - -10. Let r = -0.7 + 1. What is the third biggest value in s, 0.5, r? s Let l = -61.5 - -61. Let b = -0.06 + 5.06. Let m = 58/91 - 12/13. What is the biggest value in l, m, b? b Let r = 23639/12616 - -2/1577. Which is the smallest value? (a) -2/7 (b) r (c) 5 a Let a = -0.04 - -0.54. Let b = -80 + 77. What is the biggest value in a, b, -2? a Let p = -733.9 + 734. What is the second smallest value in p, -0.5, 8, -1/14? -1/14 Suppose 0 = -z - m + 9, 5*m - 33 = -6*z + 4*z. What is the biggest value in -1, 3, z, 2/17? z Let h(y) = -21*y - 443. Let r be h(-17). Which is the second biggest value? (a) 0.4 (b) r (c) 2 (d) 2/7 a Suppose -2 - 6 = -8*z. Let g(p) = -9*p**2 + 2*p - 2. Let c be g(z). What is the second biggest value in -4/5, c, 0.3, -3? -4/5 Let r = -1350 + 1351.86. What is the biggest value in r, -1, 2? 2 Let m(w) be the first derivative of 4 + 1/2*w**2 + 2*w - 1/3*w**3. Let n be m(-2). Which is the second biggest value? (a) -2 (b) n (c) -2/9 a Let q = -0.529 + 0.099. Which is the biggest value? (a) 4 (b) 0 (c) q a Let s(p) = 2*p**2 + 2*p + 1. Let x be s(2). Let l = -27.2 - -25.2. What is the second smallest value in x, 1, l? 1 Let s = -12 - -8. Let p(t) = 6*t - 50. Let y be p(8). What is the third biggest value in y, -1/3, -4/3, s? y Let r = 0.07 - -2.93. Let n = 12.5 - -3.5. Let w = -17 + n. What is the third biggest value in 5, r, w? w Let v = 57/203 - 4/29. Which is the fourth biggest value? (a) v (b) -5 (c) 0.1 (d) 1 b Let g = -6.6 - -6.3. Let z = -0.11 + 0.06. Which is the second biggest value? (a) -1 (b) g (c) z b Let o be 619*-2*3/(-22). Let j = 169 - o. Suppose 37*x + 9*x = 414. Which is the third biggest value? (a) 0 (b) j (c) x a Let u = 0.4 - 1.4. Let k(x) = 3*x + 1. Let q be k(1). Suppose -4*o = v + q, -8 - 20 = 4*o - 5*v. Which is the smallest value? (a) o (b) u (c) 0 a Let l = 2.52 + -2.62. What is the third biggest value in 0.06, l, 9/4? l Let u be (20/(-12))/((-10)/24). Let m = 276/5 + -55. Which is the third smallest value? (a) u (b) m (c) -0.4 a Let a be (1 + 0)/((-172)/(-58) + -3). Let g = 100 - 1702/17. What is the second biggest value in 0, a, g? g Let v = -76 - -57. Let q = v - -14. Which is the second smallest value? (a) -11 (b) q (c) 5 b Let b be (-7763)/3465 - 6/(-3). Let n = b + 1/55. What is the third biggest value in 2, n, 5? n Let q = -0.15 - -0.2. Let z = 49.653 - 0.753. Let a = z - 49. What is the second biggest value in -5, q, a? a Suppose -5*h - 1 = -3*w, 3*h - w - 113 = -112. What is the third smallest value in h, 1/3, 11? 11 Let o be (-46)/14 - (-244)/854. What is the smallest value in o, -12, 1, 0? -12 Let i be 8/((-14)/20 + 4/20). Let h be ((-15)/150)/(i/10). Which is the second smallest value? (a) 5 (b) h (c) 0 b Let t = -74 - -88. Let h = t - 14.06. What is the biggest value in h, 5, 2/21? 5 Let c = -23 + 139/6. Let l be 4/28*((-85)/15 + 8). What is the second biggest value in 0.4, l, 0, c? l Suppose -d - 2 + 5 = 0. Suppose j - d - 6 = 0. Let x be 2*j/6 - 2. Which is the third biggest value? (a) x (b) 4 (c) 2/3 c Let a = -0.4 + 0.8. Let i = -0.201 + 5.201. Let g = 0.24 + 0.06. What is the third smallest value in g, i, a? i Let f = -4415/8 + 552. Which is the second smallest value? (a) -1/20 (b) f (c) 1/3 (d) -0.1 a Let y = -1/126 + 257/630. Which is the third biggest value? (a) -1/3 (b) 3 (c) -1/8 (d) y c Let l(o) = -4*o + 18. Let w be l(4). Let y = 0.2 + 0.1. Let i = 0 + 1. Which is the third smallest value? (a) w (b) i (c) y a Let n be -1 - (12/30)/((-8)/30). Let p = 4/2317 - -836413/13902. Let d = 60 - p. Which is the third biggest value? (a) d (b) -5 (c) n b Let y = 3.758 + 0.242. What is the second smallest value in y, -22/5, 0.3? 0.3 Let r = -0.5389 + 4.4379. Let q = r - -0.101. Which is the third biggest value? (a) 9 (b) -4 (c) q b Let g = -5/3 + 4/3. Let a = 0.11 - 0.12. What is the biggest value in 1/6, a, g? 1/6 Let x = -0.076 - -0.676. Which is the third biggest value? (a) x (b) -1/4 (c) 0.07 (d) -0.4 b Let p = 13 - 8. Suppose -6 + 3 = 3*d. Let j = -39 + 37. Which is the biggest value? (a) j (b) p (c) d b Let o be 1 - (-3)/(12/20). Let v = o + -20/3. Suppose -y = -3*l - 1, 3*l - 3*y - 7 + 10 = 0. Which is the biggest value? (a) l (b) -4 (c) v a Let r = -1.007 - -0.007. Let q = -1.7 - -2. Suppose -5*t = 3*s, -5*t - s = -2*t. Which is the third smallest value? (a) q (b) t (c) r a Let r(m) = -3*m - 4. Let j be r(2). Let v = j + 13. Let p = 68 + -209/3. What is the smallest value in p, -1, v? p Let x = 57 - 56. Let t(r) = -r - 13. Let d be t(-10). What is the fourth smallest value in x, d, 2, -0.5? 2 Let b(q) = -q - 1. Let p be b(5). Let g be p/(-9) - 16/15. Let j be 42/104 + 7/(-28). What is the second biggest value in j, g, 2? j Let z = -21/17 + 25/34. Let t be 14/(-6) - 2/3. Let l = -2 - t. Which is the second smallest value? (a) 4 (b) z (c) l c Let u be ((-2)/(-10))/(3 + 120/(-18)). Let v = u + -6/11. Which is the fourth biggest value? (a) -4 (b) -5 (c) v (d) -1 b Let p = -3.24 + 2.25. Let k = p - -2.09. Which is the smallest value? (a) 0.1 (b) 1/5 (c) k a Let h(k) = k**2 - 2*k - 4. Let s be h(3). Let d be (-7)/(-14)*s/(-2). Let t be (-9)/14*(-4)/(-6). Which is the third smallest value? (a) t (b) d (c) 0.1 b Let j(m) = m**2 + 6*m + 7. Suppose -2*i - 2*i = 24. Let t be j(i). Suppose -t*g + 3*g - 16 = 0. What is the biggest value in 5, g, 3? 5 Let m = 1562 + -1564. Which is the second smallest value? (a) m (b) 2/27 (c) -6 a Let x = -47 + 49.3. Let i = -2 + x. Let t = 0.03 + -3.03. What is the smallest value in i, t, 1? t Let v = 0.35 - -0.05. What is the biggest value in v, -0.17, 0.3, 0.06? v Let s = -96/11 - -94/11. What is the fourth biggest value in 2, 6, s, -5? -5 Let m = 33 - 73. Let x = m - -39. Let n = 0 + -0.05. Which is the second biggest value? (a) 5 (b) x (c) n c Let u = 2/37 - -68/111. What is the smallest value in u, 2/13, 0.005, -3? -3 Let r be (-3 - (4 - 3))*1 + 0. What is the biggest value in r, -0.02, 0.5? 0.5 Let k = -6 + 6.1. Let s = 1652 - 1656. Which is the biggest value? (a) s (b) -1/20 (c) -2/3 (d) k d Suppose 5*o = -0*o + 50. Let v = 1.312 + -1.412. Which is the biggest value? (a) v (b) -4 (c) o c Let u = 8 + -5. Suppose u = -3*i - 9. Let m = -4 + 9. What is the smallest value in i, -0.3, m? i Let w = 784.7 - 783. Let s be (-120)/(-16)*(-2)/6. What is the third biggest value in w, s, 1/3? s Let t = -1577.96 + 1578. Suppose 0 = 3*d + 3 + 6. What is the fourth biggest value in t, d, 1, -4? -4 Let p = 1 + 3. Let v = 4351/7 - 5266/7. Let s = 131 + v. Which is the smallest value? (a) 7 (b) p (c) s c Let r = -1.7 - -2. Suppose -m - 20 = -3*z, -4*z - 311*m + 35 = -314*m. Which is the third biggest value? (a) -5 (b) z (c) r a Let m be (-4 + 7)*1/3. Let v be -1*((-2)/4 - m). Let j = -0.14 - 0.36. What is the third smallest value in j, -2/5, v? v Let m be ((-2)/6)/(5/15). Let d be 8/(-2) - (-252)/70. What is the fourth biggest value in m, 5, d, -3/5? m Suppose 0 = 14*z + 17 - 59. Let o be ((-4)/4)/(z/(-15)). Let j = -67/3 - -23. Which is the third biggest value? (a) j (b) 4 (c) o a Let g = 8.9 - 9. Let j = -0.1 - g. Let x = j - -3. What is the third biggest value in -0.3, x, 2/19? -0.3 Let s be (-31)/((-1209)/(-26))*(-6)/(-16). What is the second biggest value in s, 16, -23? s Let s = -4.6 - 0
{ "pile_set_name": "DM Mathematics" }
*l + 18 = 0. Suppose -d - l = 2*q - 3*q, 3*q - d = 14. Suppose 3*p + q*i + 82 = 6*p, -4*i + 8 = 0. What are the prime factors of p? 2, 3, 5 Let y = 227 + -162. What are the prime factors of y? 5, 13 What are the prime factors of (3/1)/((-282)/(-151058))? 1607 Suppose 0 = 4*k + c - 3526, k + c - 872 = -4*c. List the prime factors of k. 2, 3, 7 Suppose -71 = -4*k + 37. Let s = 24 + k. Suppose -s = 2*u - 5*u. What are the prime factors of u? 17 Suppose 2*z + 446 = 5*c, 0 = 2*c - 7*c - 10. Let i = z + 319. List the prime factors of i. 7, 13 List the prime factors of 3/(-33) + 25830/22. 2, 587 Let x(l) = -2 + 9 - 3*l + 2*l. Suppose 18 + 2 = -4*y. List the prime factors of x(y). 2, 3 Suppose -328 = 18*r - 1462. What are the prime factors of r? 3, 7 Let d = -12 + 14. Suppose d*m - 2 = -4*s, -17 = 3*m - s - 48. List the prime factors of m. 3 Let v be (-2 - (-72 + -3)) + 0. What are the prime factors of v/6 - 14/84? 2, 3 Suppose -v + 23 = 3*l, 0 = -5*l - v + 16 + 21. Suppose 0 = h - l - 37. List the prime factors of h. 2, 11 Let d(z) = -115*z + 122. List the prime factors of d(-8). 2, 521 Let l be (1 + 0 + -1)/(-4) - -4. Suppose -3*g = 3*d + 2*d + 10032, -5*g = 5*d + 10030. What are the prime factors of d/(-33) + l/22? 61 Let y be ((-501)/9 - 3)/((-3)/18). Suppose -5*c = m - 128, 3*m + c - y = 2*c. List the prime factors of m. 2, 59 Let d = -13 + 7. Suppose -2*y + y + 39 = 2*g, -5*y + 217 = -g. Let s = d + y. What are the prime factors of s? 37 Let t = 624 - 349. Suppose -2*j - t = -7*j. What are the prime factors of j? 5, 11 Let n = 102 + -3. What are the prime factors of n? 3, 11 Suppose 0 = 5*k + 106 + 49. Let o(w) = -w**3 - 27*w**2 - w + 41. Let h be o(-27). Let y = h + k. List the prime factors of y. 37 Let b = -32 + 35. Suppose 0 = b*j + 4*j - 1484. Suppose u = -3*u + j. What are the prime factors of u? 53 Let i(s) = -2*s - 8. Let t be i(-5). Suppose t*p - 233 = -27. What are the prime factors of p? 103 Suppose -5*u + 55 = 5*n, 4*n - 17 = 2*n + 3*u. Suppose 4*f + n = -0*p - p, -f + 2*p = 7. What are the prime factors of (-58)/f - (-1)/(-3)? 19 Let f be 4/8*-1*(0 - 4). List the prime factors of ((-68)/12 - f/(-3))*-16. 2, 5 Suppose -2*y - 2111 + 5229 = -2*f, 3*f + 3123 = 2*y. List the prime factors of y. 2, 3, 7, 37 Let p = -1382 - -1551. List the prime factors of p. 13 Let u(q) be the second derivative of 19*q**4/8 - q**3/6 - 4*q**2 + 12*q. Let a(v) be the first derivative of u(v). List the prime factors of a(1). 2, 7 Let d(x) = -8*x**3 - 5*x**2 + 55*x + 9. List the prime factors of d(-8). 3, 5, 223 Suppose -2*a + 35 = 3*w, -60 + 9 = -3*a - 5*w. Let h = a + 20. List the prime factors of h. 2, 3, 7 Let m = 225 - 134. Suppose s - m = -30. Let g = -36 + s. List the prime factors of g. 5 Let r = 1 + 3. Let g = -152 + 155. Suppose 4*b + 70 = g*x, 4*x = r*b + 37 + 63. What are the prime factors of x? 2, 3, 5 Suppose -270 = -o - 2*c, -2*c = -2*o + 4*o - 544. List the prime factors of o. 2, 137 Let h(z) = 8*z**2 - 18*z - 91. List the prime factors of h(12). 5, 13 Let d = 865 - -535. What are the prime factors of d? 2, 5, 7 Let a = 3223 - 2225. List the prime factors of a. 2, 499 Let d(m) = -m**3 - 22*m**2 - 20*m + 17. Let k be d(-21). What are the prime factors of k/(-14) - (-47)/7? 7 Let t = -705 + 1150. What are the prime factors of t? 5, 89 What are the prime factors of (2 - 1217)/(0 + (-15)/10)? 2, 3, 5 Suppose -k = -5*n + 28 + 1, 3*k = -2*n - 2. Suppose 554 = 5*j - n*c - 6, -2*j + 3*c + 226 = 0. What are the prime factors of j? 2, 5, 11 Suppose 4*z + 6*n + 1092 = 10*n, 5*z = 2*n - 1368. Let f = z - -560. What are the prime factors of f? 2, 11, 13 Let t be 4*((5 - 2) + -2). Suppose -i + 10 = -5*k - 10, -5*i + 37 = -t*k. Suppose i*s = 7*s - 46. What are the prime factors of s? 23 Suppose -21*t + 17*t = 5*d - 12753, 0 = -2*t + 2*d + 6390. What are the prime factors of t? 2, 3, 7, 19 Let c(h) = 4*h + 5. Let d(o) = -7*o - 11. Let j(t) = -9*c(t) - 4*d(t). List the prime factors of j(-2). 3, 5 Let r = 380 + 164. Let g = r - 372. What are the prime factors of g? 2, 43 Suppose 3*n + 11 + 15 = 2*i, 16 = 4*i. Let h(w) be the second derivative of -2*w**3/3 + 13*w**2/2 + 22*w - 1. What are the prime factors of h(n)? 37 Let d(w) = 3*w + 16. What are the prime factors of d(9)? 43 Let i(s) = s + 15. Let l be i(-12). Let a be (-1)/1 + 7 + 2. Suppose a = -2*c + l*c. List the prime factors of c. 2 Suppose 0 = 3*q - 6, 5*q = r + q - 645. List the prime factors of r. 653 Suppose -4*q - q + 750 = 0. What are the prime factors of q? 2, 3, 5 Let v = 142 + 236. What are the prime factors of v? 2, 3, 7 Let z(a) = 6*a**2 + 3*a - 1. Let h be z(1). Suppose 4*v - 72 = -h*v. What are the prime factors of v? 2, 3 Let n be (-1)/((-2)/10) + -3 + -124. Let x = n - -212. List the prime factors of x. 2, 3, 5 Suppose -3*x - 150 = -4*x. Let m = x + -89. Let a = 1 + m. What are the prime factors of a? 2, 31 Let f = -5 + 5. Suppose -4*c - s - 21 = f, -4*c - 19 = 3*s + 4. Let z = c + 22. What are the prime factors of z? 17 Suppose t = 2*q + 5, 2*q + 0*q + t - 5 = 0. Suppose -8*a + 5*a + 6 = q. List the prime factors of -6*(a - 84/9). 2, 11 Suppose -524*x + 539*x - 55200 = 0. What are the prime factors of x? 2, 5, 23 Let l = -1393 + 1939. List the prime factors of l. 2, 3, 7, 13 Let y be (-10)/(-4)*36/30*11. What are the prime factors of (-10150)/(-77) + 6/y? 2, 3, 11 Suppose -p + 0*p = 2*j - 8, -2*j - 3*p = 0. Let t = -3 + j. Suppose -3*s + 39 = t*z - 27, -s = 5*z - 6. List the prime factors of s. 2, 13 Let w be -4*((-6)/(-27) - (-210)/27). Let y = 137 + w. What are the prime factors of y? 3, 5, 7 Let r = 226 + -100. Suppose -4*c + c + r = 0. What are the prime factors of c? 2, 3, 7 Let r(a) = -5*a - 2. Let b(w) = -1. Let h(m) = -2*b(m) + r(m). Let s be h(-1). Suppose -s*y + 83 = 3. List the prime factors of y. 2 Let v(c) = -2*c - 10. Let w(x) = 5*x + 20. Suppose 5*l + 9 = 2*l. Let j(u) = l*w(u) - 7*v(u). What are the prime factors of j(7)? 3 Let u = -159 + 280. What are the prime factors of u? 11 Let c(r) be the second derivative of -r**4/12 + 17*r**3/6 - 3*r**2 + 2*r. What are the prime factors of c(7)? 2 Suppose 0 = 6*b + 6 - 12. List the prime factors of 6184/40 - b/(15/9). 2, 7, 11 Suppose 5*x - 5*f - 137 = 1253, 3*f - 1147 = -4*x. What are the prime factors of x? 283 Let m(o) = 2*o**2 - 12*o - 3. Let t be m(10). Let z = t - 120. Let x = z - -79. What are the prime factors of x? 2, 3 Let d = -295 + 423. What are the prime factors of d? 2 Let s(k) = 9*k + 8. Let v(f) = 13*f + 12. Let q(x) = -8*s(x) + 5*v(x). Let y be q(-4). Let c = y + -13. What are the prime factors of c? 11 What are the prime factors of -6 + -5073*(-3)/9? 5, 337 Suppose 1 = -2*k + 9. Suppose 0 = -k*i + 5*n + 12, i + 4*n = -0*n - 18. What are the prime factors of (-4 - i)/(-4)*90? 3, 5 Suppose -2*w + 13*j = 8*j - 1557, -4*j - 1558 = -2*w. List the prime factors of w. 11, 71 Suppose -3*i - 2*q = 2 + 3, -3*i + q = -7. What are the prime factors of (-27)/(8/(-5 + i) + 1)? 3 Let r(d) = 2*d**2 - 12*d - 1. Suppose 2*b + 2*b + 24 = -4*g, 5*b - 5*g - 10 = 0. Let t(c) = c**2 - c + 1. Let s be t(b). What are the prime factors of r(s)? 13 Let p be (-5)/5 + -1 + 10 + -2. Suppose -14*d = -p*d - 952. What are the prime factors of d? 7, 17 Let b be -4 - 11/((-22)/6). Let j(a) be the second derivative of -7*a**5/10 + a**2/2 - a. What are the prime factors of j(b)? 3, 5 List the prime factors of ((-130)/104)/((-1)/428). 5, 107 Suppose -2*o = -o - 5. Let b(k) = k**2 - 3*k + 2. Let t be b(o). Let s = t + -10. What are the prime factors of s? 2 Suppose 25 = h - 23. Let k = h - 22. List the prime factors of k. 2, 13 List the prime factors of -1*-1*(-3 - -362). 359 Suppose t - 1582 = -16*o + 12*o, -5*o = 4*t - 6306. What are the prime factors of t? 2, 787 What are the prime factors of (-56 - -5)*(-6)/(108/1770)? 5, 17, 59 Suppose 0 = -4*k + 38 + 10. Let g = -136 + 126. Let o = g + k. What are the prime factors of o? 2 Suppose -17707 = -5*z + 2668. List the prime factors of z. 5, 163 Suppose 0 = 4*j - 8, -4*k + 3*j + 6 = -2*j. What are the prime factors of k? 2 Let h = 31 - 14. Suppose -h = -4*k + 3*w - 4, -14 = -4*k + 2*w. Let x(r) = r**3 - 4*r**2 + 2*r + 6. What are the prime factors of x(k)? 2, 7 List the prime factors of ((-28)/(-4)
{ "pile_set_name": "DM Mathematics" }
6)/4*(0 - 2)*1. Suppose 3*w = 2*b + b - 12, -d*b + 27 = 2*w. What is the remainder when 17 is divided by b? 3 Suppose 0 = 29*d + 28343 - 99741. What is the remainder when d is divided by 112? 110 Let y(g) = -g**3 - 7*g**2 + 17*g - 3. Calculate the remainder when 137/5 + (-4)/10 is divided by y(-9). 3 Suppose -2*f + 7*f = 3*d - 783, -d = 3*f - 275. Calculate the remainder when d is divided by 27. 23 Let w(n) = 2*n**2 - 2*n + 2. Let t(u) = -u. Let s be t(-3). What is the remainder when ((-4)/6)/(8/6)*-106 is divided by w(s)? 11 Suppose -3*b - 30 = -8*b. Suppose 6 = -4*a + 4*d - b, -5*d + 17 = -4*a. Calculate the remainder when 2 is divided by a. 0 Suppose 5*k + 4*g - 101 = 50, -2*k + 3*g = -42. What is the remainder when 158 is divided by k? 23 Let l = -31 + 77. What is the remainder when l is divided by 8? 6 Suppose 0*r + 6*r = 0. Suppose -2*m + 59 + 21 = r. What is the remainder when m is divided by 7? 5 Suppose 3*k + d - 49 = 6, -4*d + 94 = 5*k. Let q = 1112 - 1082. Calculate the remainder when q is divided by k. 12 Suppose 16*i = 14*i - 3*v + 24, 0 = -i + v + 7. What is the remainder when 61 is divided by i? 7 Let n(z) = -z**2 + 9*z - 6. Let r be n(8). Suppose 5*s = r*k + 38, 5*s + 3*k = s + 35. Calculate the remainder when (-1)/(-3)*(66 + 21) is divided by s. 5 Suppose 0 = 2*a - 41 + 9. Suppose -180 = -n - 3*n. What is the remainder when n is divided by a? 13 Suppose 2*j = -2*l + 10, 0 = 3*l - 0*j - 5*j + 25. Suppose 3*a + 2*a - 245 = l. Suppose h - 12 = 5. Calculate the remainder when a is divided by h. 15 Let r(x) = -x**3 - 3*x**2 - 12*x - 85. Calculate the remainder when 33 is divided by r(-5). 8 Let t = 8 + -5. Let z(y) = -5*y**2 - 73*y + 32. Calculate the remainder when t is divided by z(-15). 1 Suppose -4*c + 158 = 2*y, y = -4*c + 3*y + 146. What is the remainder when 911 is divided by c? 37 Let p be (2 + -4)*(-3)/2. Let l(n) = -n + 12. Let r be l(6). Suppose -r = -p*w + 9. Calculate the remainder when 12 is divided by w. 2 Suppose -211 = n + 4*f - 62, -4*n + f - 511 = 0. Calculate the remainder when 52 is divided by n/(-12) + (-3)/(-12). 8 Let b = -29 + 28. Calculate the remainder when (4/14)/(b/(-49)) is divided by 5. 4 Calculate the remainder when 14570/93 + (-2)/(-6) is divided by 23. 19 Suppose -5*c - d + 22 = -0*c, -11 = -c + 2*d. Let p(j) = 12*j + 1 - 16*j - c + 9*j. Calculate the remainder when p(4) is divided by 5. 1 Let c be -3*(-2)/6*-2. Let j(d) = 13*d + 45. Let h(l) = -3*l - 11. Let r(x) = c*j(x) - 9*h(x). What is the remainder when r(8) is divided by 10? 7 Suppose 2*j - 6*j + 196 = 4*i, -j - 176 = -4*i. Let s(c) = 3*c**2 + 8*c + 6. Let u be s(-5). Let f = u - 25. Calculate the remainder when i is divided by f. 13 Let p be (-816)/9 - 3/(18/(-4)). Let c = p - -126. What is the remainder when 70 is divided by c? 34 Let d = -78 + 8. Suppose -87 + 8 = -5*s - m, 2*s - m - 33 = 0. Calculate the remainder when -6*(4 - d/(-6)) is divided by s. 14 Let a(r) = -4*r + 6. Let x be (-2 - 1) + ((-2)/(-1) - 5). What is the remainder when 117 is divided by a(x)? 27 Suppose -2*b + 2*n = -3*b + 624, 0 = -b + 2*n + 604. Calculate the remainder when b is divided by 26. 16 Suppose -1 = -2*x - 3*r + 4*r, -x + 23 = 4*r. Let t(u) be the first derivative of u**2 - 4*u - 1. Calculate the remainder when t(4) is divided by x. 1 Suppose 0*p = -3*p + 4*m + 189, 0 = -2*p - 4*m + 106. Calculate the remainder when 707 is divided by p. 58 Suppose 0*z + 2*z + 48 = 4*h, -z = 4*h - 48. Let m = -1 + 24. What is the remainder when m is divided by h? 11 Let h = 1460 + -1433. What is the remainder when 126 is divided by h? 18 Let x(r) = r**3 - 5*r**2 - 84*r + 24. What is the remainder when 285 is divided by x(12)? 21 Suppose 0 = 5*g + 2*b - 14, -2*g - b - 4*b = 7. Suppose -j - 3*y - g = y, -3*y = 4*j - 23. Calculate the remainder when 47 is divided by j. 7 Suppose 4 = -6*x + 2*x. Calculate the remainder when 39 is divided by (-4 - 1/x) + 23. 19 What is the remainder when 332 is divided by 20*((-42)/(-5) - (-14 + 20))? 44 Calculate the remainder when 133*-1*(2 - 10 - -7) is divided by 17. 14 Suppose -4*c = -4*y - y + 138, 5*c + 105 = 4*y. Let d(a) = -a**3 + 12. Let r be d(0). What is the remainder when y is divided by (-1 - -3)*66/r? 8 Let r(f) = 2*f + 5. Let j be r(0). Suppose j*o + 61 + 4 = 0. Let n = -5 - o. What is the remainder when 30 is divided by n? 6 Let u(c) = c**3 - 9 + 14*c + 3*c**2 - 2 - 6 - 14*c**2. Let n = 14 + -8. Calculate the remainder when u(10) is divided by n. 5 Suppose 4*h = -0*h + 20. Suppose 7 = i - 0*i + 2*g, 4*g - 4 = 0. Suppose -16 = i*a - 9*a. What is the remainder when h is divided by a? 1 Let q = 519 - 384. Calculate the remainder when q is divided by 68. 67 Suppose 0 = -4*k - k + 65. Let u(s) = -s**2 + 12*s + 14. Let l be u(k). Suppose 4*n + l = 37. Calculate the remainder when 33 is divided by n. 6 Let i = -1488 - -1506. Suppose 5*b = -45 + 205. What is the remainder when b is divided by i? 14 Let k(h) = 3*h - 4*h - 2*h - 3. What is the remainder when k(-5) is divided by 18/(-39) + (-194)/(-26)? 5 Let i(a) = 4*a + 258. Calculate the remainder when i(-45) is divided by 49. 29 Let w(s) = -15*s**2 + 108*s + 3. Calculate the remainder when 1846 is divided by w(7). 22 Let s(c) = 2*c**2 - 6*c + 2. Let l be 0/((-4)/(-4) + (0 - 2)). Suppose l = -10*r + r + 162. Calculate the remainder when r is divided by s(4). 8 Suppose -364 = -64*k + 148. What is the remainder when 694 is divided by k? 6 Suppose 525 = 31*i - 6*i. Calculate the remainder when 314 is divided by i. 20 Let z(r) = r**2 - 7*r + 25. Calculate the remainder when 52 is divided by z(5). 7 Suppose 0 = 4*t, -2*v - 3*t + 7*t + 14 = 0. Calculate the remainder when 34 + -3 + 2 + 1 is divided by v. 6 Suppose -4*c - 5*o = -312, 0 = 15*o - 18*o. Calculate the remainder when c is divided by 56. 22 Let b = 143 + -58. Let s = b - 20. Calculate the remainder when s is divided by 11. 10 Let z(h) = -h**3 + 25*h**2 - 18*h - 102. Calculate the remainder when z(24) is divided by 25. 17 Let i(l) = 4*l**2 - 47*l + 44. Calculate the remainder when i(18) is divided by 71. 68 Suppose 7*p = 6*p + 147. Let c = 158 - p. Calculate the remainder when 41 is divided by c. 8 Let s(i) = -7*i + 87. What is the remainder when 213 is divided by s(9)? 21 What is the remainder when 205 is divided by (4 - 39/15)*30? 37 Suppose 3*b - 141 = -4*d, 83 = -b + 3*b - d. Calculate the remainder when 944 is divided by b. 41 Let n = 882 + -863. What is the remainder when 394 is divided by n? 14 Let k(i) = i**2 - 5*i - 112. Calculate the remainder when 134 is divided by k(-10). 20 Let a be 0/(-2) - (-2 - 2). Suppose -a*o + 22 = -2*o. What is the remainder when 17 is divided by o? 6 Let t(g) = -7*g**3 - 5*g**2 - 7*g + 3. Let p = 10 + 8. What is the remainder when t(-2) is divided by p? 17 Let u = 631 + -528. Calculate the remainder when u is divided by 49. 5 Let j(s) = 35*s + 195. Calculate the remainder when 157 is divided by j(-5). 17 Let h = -102 + 149. Let o = 7630 - 7611. What is the remainder when h is divided by o? 9 Calculate the remainder when 284 + -2 - -7*5/(-5) is divided by 26. 15 Let w(r) = 23*r**3 + 2*r**2 - r. Let a be 15/(-25) - 138/(-5). Suppose 0 = 5*u - 43 - a. Calculate the remainder when w(1) is divided by u. 10 Suppose 5*i + v = 163, 5*i = -0*v + v + 167. What is the remainder when ((-4)/6 + (-663)/(-117))*13 is divided by i? 32 Let u = 13 - 9. Suppose -5*m - 3*n = -23, 0 = -u*m - n + 17. Suppose 38 = m*t - 14. Calculate the remainder when 37 is divided by t. 11 Suppose 0 = -4*o - 4*a + 208, 3*o - 131*a + 130*a - 168 = 0. Calculate the remainder when 1207 is divided by o. 52 Calculate the remainder when 50 is divided by (-4)/((-6)/57 - (-170)/(-1995)). 8 Calculate the remainder when 215 is divided by (-436)/(-6) + 14/(-21). 71 Suppose -4*a + 37 = -63. Suppose -9*f + 135 = 6*f. Calculate the remainder when a is divided by f. 7 Let p be -1 + 2 - (-1)/1. Suppose 5*t + 17 = p*b, 5*t - 3*t = -2. What is the remainder when 29 is divided by b? 5 Let w(q) = q**3 + 30*q**2 - 6*q - 58. What is the remainder when w(-30) is divided by 58? 6 Let g(j) = -j**2 - 5*j + 3. Let k be g(-9). Let n = 37 + k. Calculate the remainder when 17 is divided by n. 1 Let w be (-1)/(0/(-3) + 1). Calculate the remainder when 0 - 3 -
{ "pile_set_name": "DM Mathematics" }
*5/60 + 9*t**4/8 - 37*t**3/6 + 2330*t**2. What is j(-28)? -9 Let n(p) = -17*p + 9. Let w(k) be the third derivative of -5*k**4/12 + 5*k**3/6 + 12*k**2 + 3*k. Let z(r) = 3*n(r) - 5*w(r). What is z(-7)? 9 Let c(o) = -5*o - 16. Let t(z) = 2*z + 6. Let p = -320 + 323. Let j(q) = p*c(q) + 8*t(q). Give j(3). 3 Let g(s) = s**2 - 1. Let o be g(1). Suppose 0 = -2*i + 10 - o. Suppose 8 = -i*u - 12. Let v(f) = f + 1. Determine v(u). -3 Let f(o) be the third derivative of o**7/2520 - 79*o**5/60 + 43*o**2. Let w(d) be the third derivative of f(d). Calculate w(2). 4 Let f(l) = -10*l**2 + 2*l + 3. Let w(b) = 26 - 14*b + 17*b - 1. Let j be w(-9). Calculate f(j). -41 Suppose 132*z - 133*z + 7 = 0. Let t(p) be the second derivative of -p**4/12 + 4*p**3/3 + 9*p**2/2 + 13*p - 5. Calculate t(z). 16 Let g(z) = -3*z**2 - 19*z - 31. Let i(f) = -4*f**2 - 20*f - 45. Let a(u) = 3*g(u) - 2*i(u). Give a(0). -3 Let q(w) be the second derivative of -1/3*w**3 + 67*w - 11/2*w**2 + 0. Give q(-8). 5 Let n(s) be the first derivative of s**3/6 + s**2 + 138*s + 104. Let h(l) be the first derivative of n(l). Determine h(5). 7 Let n(g) = -g - 2*g**3 - 6 - 8*g + 2*g**3 + g**3 + 50*g**2 - 44*g**2. Calculate n(-7). 8 Let c(w) = -13 - 153*w - 298*w**3 + 174*w - 6 + 297*w**3 + 20*w**2. What is c(21)? -19 Let j(b) = -b**3 - 56*b**2 - 54*b + 54. Let a = 4801 + -4856. Give j(a). -1 Suppose -7*a = 2*f - 6*a - 23, f - 19 = -2*a. Let q(w) = -w**2 - f + 72*w + 6 - 9 - 62*w. Give q(9). -3 Let y(j) be the second derivative of j**6/720 - j**5/30 + j**4/6 - 75*j**2/2 - 15*j. Let c(i) be the third derivative of y(i). What is c(5)? 1 Suppose -s + 5 = 2*d + 2*s, 25 = 3*d + s. Let x = 12 + d. Suppose 0 = -5*c - j - 6 - x, 5*c = -4*j - 37. Let g(w) = -w**2 - 5*w - 1. What is g(c)? -1 Suppose -42 = 3*j + 63. Let t = j + 40. Suppose -v + 1 = -t. Let z(a) = -5*a + 4. What is z(v)? -26 Let i(t) = 2*t + 3. Let u be i(2). Suppose 0 = -4*g + u*g - 18. Let p(a) = -8 + 2*a - g - a. Give p(0). -14 Let z(k) = -k. Suppose -16 = 4*x, -x - 6 + 5 = y. Suppose 16 - 5 = 11*c. Suppose 2*i - 17 = y*g - c, -5*i = -4*g - 19. Determine z(g). 6 Let s = -29 + 35. Let j(r) be the first derivative of r**2 - 11*r - 487. Calculate j(s). 1 Let q(v) be the third derivative of -v**5/20 + 7*v**4/24 - 17*v**3/6 - 2*v**2 - 28*v. Give q(5). -57 Let m(n) = n**3 - 9*n**2 + 34*n - 135. Let a be m(7). Let c(b) be the third derivative of b**5/30 - b**4/3 + 5*b**3/6 - 4*b**2. Calculate c(a). 15 Let k(u) = -u**2 - 6*u + 5. Let y(h) = -3*h**2 + 48*h - 188. Let b be y(6). What is k(b)? -11 Let m(n) = 2*n**2 - 17*n + 11. Suppose -2*i + 10 = -4*h, -17*i + 14*i + 5*h = -16. Give m(i). -10 Let y(h) = -392*h**2 - 388*h**2 + 21*h - 395*h**2 - 394*h**2 + 1576*h**2 + 46 + h**3. Determine y(-5). -9 Suppose 268*d - 124*d = 133*d. Let t(m) = 2*m**3 + 2*m**2 - m - 10. Calculate t(d). -10 Suppose 3*i = -2*q + 64, -i + 2*q + 96 = 4*i. Suppose -2*z - 5*g - 24 = 0, -2*z + 0*z - 4*g - i = 0. Let t(c) = 2*c**3 - 3*c - 2. Give t(z). -12 Let l(f) = f**3 - 30*f**2 + 182*f + 142. Let x be l(21). Suppose 0 = -2*h + 6*h + o - 11, -h = -3*o - 6. Let c(a) = a**2 - h*a + 7*a - 4 + 1. What is c(x)? 2 Let b = 877 + -878. Let j(t) be the second derivative of 19*t**4/12 - t**3/6 - t**2/2 - 206*t. Give j(b). 19 Let h(u) be the first derivative of u**2/2 + 8*u + 1. Let b = 26086 + -26097. Give h(b). -3 Let z(w) = -25*w**2 + 101*w - 15. Let u(o) = 9*o**2 - 35*o + 4. Let v(j) = -8*u(j) - 3*z(j). Give v(7). -1 Let c(j) = 2*j**3 + 11*j**2 - j - 11. Suppose 566*w - 45 = 575*w. Let k be c(w). Let y(f) = f**3 - 18*f**2 - 20*f + 24. Give y(k). 5 Let z(r) = 6*r**3 - r**2 - 2*r - 1. Let i(h) be the first derivative of h**3/3 - 17*h**2/2 + 44*h - 33. Let u be i(8). Let q be 2/7 + 36/u. Determine z(q). -6 Let g(l) = 2*l**3 - l. Let q be g(1). Let m be q/(-4) - (-27)/12. Let i(c) = m - 19 + 7 + c. Calculate i(7). -3 Let o(q) = 8 + 52 - 8 + 5398*q - 5424*q + 2*q**2. Give o(11). 8 Suppose -3*y = h + 26, 3*h + 179 = 182. Let g(r) = 8*r + 71. Calculate g(y). -1 Let c = -63 + 68. Suppose 0 = 4*l - 3*a - 17, c*l = -0*l + 2*a + 16. Let u(h) = 2 - 5 + 10*h - 3*h. What is u(l)? 11 Suppose 0 = -19*s + 15*s - 16. Let i(h) = h**2 - 28*h + 31. Let u(v) = 2*v**2 - 58*v + 63. Let q(w) = s*u(w) + 9*i(w). What is q(18)? -9 Let n(x) be the first derivative of x**4/3 - x**3/3 - 27*x**2 + 58. Let v(d) be the second derivative of n(d). Give v(3). 22 Let d(k) = -1202*k + 10. Let l be d(0). Let s(n) be the third derivative of -n**4/24 - n**3/6 - 2*n**2. Calculate s(l). -11 Let i(n) = -n**2 - n**3 - 1 + 379*n - 192*n - 188*n - 3. Let b(h) = 2*h**3 + h**2 + 2*h + 7. Let l(c) = -3*b(c) - 5*i(c). Calculate l(2). -3 Let s(l) = -l**3 - 27*l**2 - 53*l - 23. Let t(y) = 341*y - 3094. Let n be t(9). What is s(n)? 52 Let r(i) be the second derivative of i**5/20 + i**3/3 + 37*i**2/2 + 629*i. Give r(0). 37 Suppose 5*q - 5*g = -35, 3*q - 140*g + 21 = -136*g. Let o(r) = r**3 + 9*r**2 + 10*r - 9. Calculate o(q). 19 Suppose 5*b = -2*q - 10 + 14, b + 16 = q. Let j(p) = p**2 - 7*p - 53. Determine j(q). 7 Let z(m) be the first derivative of -10*m**2 - 13*m - 1347. What is z(-5)? 87 Let g(q) = q**2 - 23*q + 50. Suppose 89*u - 1835 = -30*u + 545. Determine g(u). -10 Let g(z) = z**2 - z + 6. Let q(i) = 15 + 33*i + 2 - 19*i**2 - 3*i**3 + 8*i + 2*i**3. Let c be q(-21). Suppose -c*b = -34*b. Give g(b). 6 Let m(u) = 2*u + 33. Suppose 2*d + 13 + 0 = -21. Determine m(d). -1 Let f(w) = 2 + 444597*w**3 - 3*w - w**2 + 5*w - 444598*w**3. Give f(3). -28 Let b(d) be the first derivative of -4*d**2 - 75*d - 11691. Calculate b(-8). -11 Let y(s) = s**2 - s - 6. Let r be (-3)/(-24)*2 + -66*(-7)/(-56). Give y(r). 66 Let o(z) = -7*z - 5. Suppose -m = 4*x + x - 29, -16 = -4*m. Let n(v) = -4 + 6 + 15*v + 12 + x*v. Let a(f) = 6*n(f) + 17*o(f). Calculate a(-6). -7 Let m(t) = -193*t - 2113. Let p be m(-11). Let s(u) = 3*u - 33. Calculate s(p). -3 Let w(p) = 5 + 4 - p**2 - 5 - 146*p + 73*p + 77*p. Determine w(-3). -17 Let b(m) = m**3 - 5*m + 1. Let n be (9 - 133/14)/(2/(-8)). Determine b(n). -1 Let g(c) = c**2 - c. Let b(r) = -3*r**2 + 10*r + 8. Suppose 0 = 3*n - 486 + 483. Let j(x) = n*b(x) + 2*g(x). Let s = 15 + -6. Give j(s). -1 Let c = 50 - 48. Suppose -j + 10 = c*z, z + 3 = 5. Let u(g) = j*g - 1 + g**3 + 100*g**2 - 107*g**2 + 3. Determine u(6). 2 Let u be 12 - (-7 + (4 - -2)). Suppose -h - 10 = -2*w, h - 10*w = -u*w. Let t(x) = -x**3 - 5*x**2 + 7*x. Calculate t(h). -6 Let v(x) = x**2 - 7*x + 6. Suppose 0 = 4*q - 10 + 2. Suppose -2*n + 2*r = 16, 4*n - q*r = -6*r - 40. Let a = 15 + n. Give v(a). 0 Let w(l) = 13*l + 239. Let x(f) = -f**2 + 9*f - 39. Let a be x(4). Let c be w(a). Let t(i) = -i**3 - 6*i**2 + 17*i - 2. What is t(c)? -10 Let l(q) = -4*q**3 + 90*q**2 - 7*q - 308. Let w(m) = -3*m**3 + 60*m**2 - 5*m - 221. Let x(s) = 5*l(s) - 7*w(s). Determine x(-30). 7 Let n(a) be the third derivative of -a**6/60 + 19*a**5/20 + 29*a**4/24 - a**3/6 - 8*a**2 + 2*a - 48. Give n(29). -1 Let t(d) = 5*d - 3*d + 208 - 273 - 4*d. Calculate t(-36). 7 Let o(q) = 4*q - 1. Let j(y) = 11*y - 2. Let l(r) = 3*j(r) - 8*o(r). Let u(w) = -3*w - 8. Let m be u(-1). What is l(m)? -3 Let o(m) be the second derivative of m**3/6 - m**2 - 2*m. Suppose -4*n = -4*k - 15 - 13, -2*n + 8 = 0. What is o(k)? -5 Let v(h) = 1. Let y(t) = t + 4. Let x(s) = -2*v(s) + y(s). Let p = -49 + 33. Let o be ((-5)/(-10))/(4/p). Calculate x(o). 0 Suppose 0 = -2*m + 2*f - 13 + 7, 3*f - 1 = m. Let b(p) = -10*p - 43. Determine b(m). -3 Let m(s) = 227*s - 920. Let p be m(4). Let x(a) = a**3 + 13*a**2 + 15*a - 5. Determine x(p). -41 Let y(t) = -106*t - 4 + 29*t - t**2 + 38*t + 31*t. Let a(o) = -11*o**2 + 3*o. Let x be a(1). What is y(x)? -4 Let m(r) be the second derivative of r**4/12 + r**3/6 + 3*r**2/2 - 2*r. Suppose -83*u + 100 = 349. What is m(u)? 9 Let c(d) = -d**2 - 9*d - 4. Let n(m) = m**2 + 9*m + 5. Let q(h) = 2*c(h) + 3*n(h). Suppose -1157*t + 28 = -2322*t + 1161*t. Calculate q(t). -7 Let l(d) = -d**3 + 67*d**2 - 258*d + 386. Let w be l(63). Let h(c) = c**3 - 6*c**2 - 25*c - 3. What is h(w)? -75 Suppose 59*p - 55*p - 371 = -3*b, -488 = -4*b - 4*p. Suppose 21*g - b = -96. Let q(d) = 7*d - 3 + 2 + 13*d. Give q(g). 19 Let i = -42 - -42. Suppose i = -3*y - s - 5, y - 6*y + s + 5 = 0. Suppose -10*d + 40 =
{ "pile_set_name": "DM Mathematics" }
en that 3*f**4 + 78*f**3 + 756*f**2 + 3234*f + 5145 = 0. -7, -5 Find z such that z**5/5 - 2*z**4 + 23*z**3/5 + 2*z**2 - 24*z/5 = 0. -1, 0, 1, 4, 6 Find u such that -2*u**3 + 876*u**2 + 1758*u + 880 = 0. -1, 440 Find l, given that l**4/2 + l**3/2 - 29*l**2 - 56*l = 0. -7, -2, 0, 8 Solve y**5 + 11*y**4 + 38*y**3 + 52*y**2 + 24*y = 0. -6, -2, -1, 0 Determine y, given that 36*y**5 + 180*y**4 - 1468*y**3 - 1588*y**2 - 360*y = 0. -9, -2/3, -1/3, 0, 5 Factor 20*o**3 + 205*o**2 + 370*o + 80. 5*(o + 2)*(o + 8)*(4*o + 1) Solve -3*t**3/5 - 3*t**2 + 3*t/5 + 3 = 0 for t. -5, -1, 1 Let -4*k**4 - 4*k**3 + 24*k**2 + 16*k - 32 = 0. What is k? -2, 1, 2 Solve m**5 - 102*m**4 + 2385*m**3 + 11236*m**2 = 0. -4, 0, 53 Factor 3*r**2 - 51*r - 114. 3*(r - 19)*(r + 2) Factor 5*i**5 - 35*i**4 - 390*i**3. 5*i**3*(i - 13)*(i + 6) Factor 5*r**2 - 190*r + 1785. 5*(r - 21)*(r - 17) Factor p**2 - 2143*p - 2144. (p - 2144)*(p + 1) Factor 4*d**4 - 20*d**3 + 32*d**2 - 16*d. 4*d*(d - 2)**2*(d - 1) Factor 44*a**4 - 828*a**3 - 152*a**2. 4*a**2*(a - 19)*(11*a + 2) Factor 38*n**3 - 4*n**2 - 38*n + 4. 2*(n - 1)*(n + 1)*(19*n - 2) Suppose 4*n**5/17 - 10*n**4/17 - 8*n**3 + 70*n**2/17 = 0. What is n? -5, 0, 1/2, 7 Factor -2*j**3/7 + 130*j**2/7 - 1118*j/7 + 990/7. -2*(j - 55)*(j - 9)*(j - 1)/7 Factor -f**3/5 - 31*f**2/5 + 28*f. -f*(f - 4)*(f + 35)/5 Factor -470*l**2/11 - 474*l/11 - 4/11. -2*(l + 1)*(235*l + 2)/11 Factor 5*o**3 + 120*o**2 - 10240. 5*(o - 8)*(o + 16)**2 What is s in -12*s**4 + 164*s**3 - 104*s**2 = 0? 0, 2/3, 13 Let -b**5 + 6*b**4 + 3*b**3 - 20*b**2 + 12*b = 0. What is b? -2, 0, 1, 6 Solve -20*p**5 + 12*p**4 + 328*p**3 + 528*p**2 + 160*p = 0. -2, -2/5, 0, 5 Factor -8*d**3/3 + 10*d**2 + 104*d/3 + 8. -2*(d - 6)*(d + 2)*(4*d + 1)/3 What is l in 4*l**3/7 - 20*l**2/7 + 16*l/7 = 0? 0, 1, 4 Determine z so that -5*z**2 - 65*z - 150 = 0. -10, -3 Factor -3*u**3/5 - 27*u**2/5 - 69*u/5 - 9. -3*(u + 1)*(u + 3)*(u + 5)/5 Solve -6*t**5 - 27*t**4 - 3*t**3 + 39*t**2 + 9*t - 12 = 0 for t. -4, -1, 1/2, 1 Factor -4*x**2/5 + 12032*x/5 - 9048064/5. -4*(x - 1504)**2/5 Factor -3*o**3/4 - 237*o**2/4 + 123*o/2 + 120. -3*(o - 2)*(o + 1)*(o + 80)/4 Factor x**3 + 218*x**2. x**2*(x + 218) Factor -3*d**2/2 - 3*d + 9/2. -3*(d - 1)*(d + 3)/2 Factor -3*z**2/5 - 6*z/5 + 144/5. -3*(z - 6)*(z + 8)/5 Suppose -2*q**3/11 + 168*q**2/11 - 3528*q/11 = 0. What is q? 0, 42 Suppose 3*j**5/7 - 12*j**4/7 + 30*j**2/7 - 3*j/7 - 18/7 = 0. Calculate j. -1, 1, 2, 3 Factor -t**2/3 + 76*t/3 - 148/3. -(t - 74)*(t - 2)/3 What is t in t**2 + 134*t + 1240 = 0? -124, -10 Find f such that -2*f**2 + 126*f - 124 = 0. 1, 62 Factor -2*x**3 - 42*x**2 - 168*x - 128. -2*(x + 1)*(x + 4)*(x + 16) Let 2*u**4 + 4*u**3 - 30*u**2 + 8*u + 40 = 0. What is u? -5, -1, 2 Find q such that -4*q**2 + 32*q + 192 = 0. -4, 12 Factor v**2 - 20*v - 384. (v - 32)*(v + 12) Determine c so that -5*c**3 + 10*c**2 + 5*c - 10 = 0. -1, 1, 2 Factor -u**2/4 + 39*u/2 - 77/4. -(u - 77)*(u - 1)/4 Solve 2*a**5/7 - 2*a**4/7 - 6*a**3/7 + 2*a**2/7 + 4*a/7 = 0 for a. -1, 0, 1, 2 Suppose y**5/2 - 11*y**4 + 39*y**3 - 56*y**2 + 73*y/2 - 9 = 0. Calculate y. 1, 18 Solve -2*w**3/9 - 82*w**2/9 + 2*w/9 + 82/9 = 0 for w. -41, -1, 1 Determine u, given that -5*u**4 - 15*u**3 + 90*u**2 + 160*u - 480 = 0. -4, 2, 3 Determine b so that 6*b**4 + 21*b**3 - 33*b**2 - 66*b + 72 = 0. -4, -2, 1, 3/2 What is a in -5*a**5 - 90*a**4 - 235*a**3 - 150*a**2 = 0? -15, -2, -1, 0 Let 3*c**3/7 - 3*c**2/7 - 6*c/7 = 0. Calculate c. -1, 0, 2 Suppose -6*b**5/7 + 96*b**4/7 - 456*b**3/7 + 492*b**2/7 + 66*b - 84 = 0. What is b? -1, 1, 2, 7 Factor 2*o**2/5 - 14*o/5 - 3096/5. 2*(o - 43)*(o + 36)/5 Suppose -7*n**3/3 + n**2 + 4*n/3 = 0. What is n? -4/7, 0, 1 Suppose -2*o**4 - 26*o**3 - 82*o**2 - 94*o - 36 = 0. Calculate o. -9, -2, -1 Solve 4*x**2 - 2584*x + 417316 = 0 for x. 323 Factor -5*q**2 - 2165*q - 4310. -5*(q + 2)*(q + 431) Let 3*p**5 + 24*p**4 + 69*p**3 + 84*p**2 + 36*p = 0. Calculate p. -3, -2, -1, 0 Factor 4*i**3 - 708*i**2 + 1404*i - 700. 4*(i - 175)*(i - 1)**2 Solve -9*j**3 - 75*j**2 - 88*j - 28 = 0 for j. -7, -2/3 Factor -4*x**3 - 768*x**2 - 49152*x - 1048576. -4*(x + 64)**3 Factor 6*j**4 - 2*j**3 - 52*j**2 + 40*j + 48. 2*(j - 2)**2*(j + 3)*(3*j + 2) Determine p, given that -2*p**3/17 + 68*p**2 + 1158*p/17 = 0. -1, 0, 579 Determine i, given that 694*i**2/5 + 138*i - 4/5 = 0. -1, 2/347 Let -2*v**2/7 - 370*v/7 - 732/7 = 0. Calculate v. -183, -2 Let 9*j**5 + 24*j**4 - 15*j**3 - 90*j**2 - 84*j - 24 = 0. What is j? -2, -1, -2/3, 2 Solve 2*l**2/23 - 18*l/23 + 36/23 = 0. 3, 6 Factor 2*h**2/15 - 14*h/5 - 44/15. 2*(h - 22)*(h + 1)/15 Let 2*w**3/9 + 178*w**2/9 + 430*w - 450 = 0. Calculate w. -45, 1 Factor -5*v**3 + 700*v**2 - 27060*v + 174240. -5*(v - 66)**2*(v - 8) Suppose 4*d**4/7 - 4*d**2/7 = 0. What is d? -1, 0, 1 Let 2*l**2/15 - 262*l/15 - 532/15 = 0. What is l? -2, 133 Factor -2*j**4/3 - 8*j**3 - 44*j**2/3 + 56*j - 98/3. -2*(j - 1)**2*(j + 7)**2/3 Determine l, given that -5*l**2 + 40*l + 1725 = 0. -15, 23 Factor 4*i**5 - 56*i**4 + 144*i**3 - 136*i**2 + 44*i. 4*i*(i - 11)*(i - 1)**3 Solve 20*a**4/17 - 6*a**3/17 - 36*a**2/17 + 10*a/17 + 12/17 = 0 for a. -6/5, -1/2, 1 Solve 10*s**3/19 - 24*s**2/19 = 0. 0, 12/5 Solve -3*z**2 + 459*z - 456 = 0 for z. 1, 152 Suppose n**4/4 - n**3 - n**2 + 4*n = 0. What is n? -2, 0, 2, 4 What is w in 90*w**5/7 - 831*w**4/7 + 123*w**3/7 + 633*w**2/7 - 51*w + 54/7 = 0? -1, 1/3, 2/5, 1/2, 9 Factor x**3/4 + 3*x**2/2 - 7*x/4. x*(x - 1)*(x + 7)/4 Factor p**4 + 14*p**3 + 13*p**2. p**2*(p + 1)*(p + 13) Let 4*l**3 + 12*l**2 - 24*l - 32 = 0. Calculate l. -4, -1, 2 Factor 2*t**2/5 + 37456*t/5 + 175368992/5. 2*(t + 9364)**2/5 Find r, given that -r**3/3 + r**2/3 + 10*r - 24 = 0. -6, 3, 4 Factor 4*k**2 + 56*k + 52. 4*(k + 1)*(k + 13) Factor 37*w**5/3 - 445*w**4/6 + 149*w**3 - 302*w**2/3 + 4*w/3. w*(w - 2)**3*(74*w - 1)/6 Find a such that -2*a**2/19 - 2*a + 240/19 = 0. -24, 5 Factor 2*n**4/5 + 12*n**3/5 + 24*n**2/5 + 16*n/5. 2*n*(n + 2)**3/5 Factor 3*s**2 + 27*s - 756. 3*(s - 12)*(s + 21) Factor -2*h**3/9 + 20*h**2/9 + 106*h/9 + 28/3. -2*(h - 14)*(h + 1)*(h + 3)/9 Factor 3*a**5 + 63*a**4 - 75*a**3 - 183*a**2 + 324*a - 132. 3*(a - 1)**3*(a + 2)*(a + 22) Factor -5*b**3 + 75*b**2 - 240*b - 320. -5*(b - 8)**2*(b + 1) Find b, given that 7*b**5/9 + b**4/9 - 7*b**3/3 + 11*b**2/9 + 2*b/9 = 0. -2, -1/7, 0, 1 Factor -p**4 + 12*p**3 - 41*p**2 + 42*p. -p*(p - 7)*(p - 3)*(p - 2) Find z, given that z**3/3 - 31*z**2/3 + 105*z - 351 = 0. 9, 13 Find g, given that 3*g**4/4 - 315*g**3/4 - 1641*g**2/4 - 1017*g/4 + 1485/2 = 0. -3, 1, 110 Suppose 2*j**4/5 - 2*j**3/5 - 6*j**2/5 + 2*j/5 + 4/5 = 0. What is j? -1, 1, 2 Factor -2*w**3/5 + 518*w**2/5 - 4016*w/5. -2*w*(w - 251)*(w - 8)/5 Find w such that 2*w**2/5 - 4*w - 78/5 = 0. -3, 13 Find s, given that -2*s**3/15 - 16*s**2/15 + 128*s/15 + 1024/15 = 0. -8, 8 Suppose -2*z**4 + 18*z**3 - 30*z**2 - 50*z = 0. Calculate z. -1, 0, 5 Factor -c**4/4 - 4*c**3 - 39*c**2/2 - 28*c - 49/4. -(c + 1)**2*(c + 7)**2/4 Solve k**4/2 + 17*k**3 - 147*k**2/2 + 94*k - 38 = 0. -38, 1, 2 What is n in -3*n**3/5 - 342*n**2/5 - 12996*n/5 - 164616/5 = 0? -38 Find h such that h**5/4 + 115*h**4/4 + 3007*h**3/4 - 17163*h**2/4 + 6210*h - 2700 = 0. -60, 1, 3 Factor -b**4/3 + 22*b**3/3 - 121*b**2/3. -b**2*(b - 11)**2/3 Suppose -28*y**5 - 652*y**4 - 3964*y**3 + 5724*y**2 + 83592*y + 23328 = 0. Calculate y. -9, -2/7, 4 Factor 2*a**4 + 3296*a**3 + 1361244*a**2 + 2712608*a + 1354658. 2*(a + 1)**2*(a + 823)**2 Determine b, given that -4*b**3 + 32088*b**2 - 85803312*b + 76479352096 = 0. 2674 Factor v**4/5 + 12*v**3/5 + 36*v**2/5. v**2*(v + 6)**2/5 What is g in -764*g**2/3 - 772*g/3 - 8/3 = 0? -1, -2/191 Determine n so that n**4/2 - 4*n**3 - 57*n**2/2 - 50*n - 26 = 0. -2, -1, 13 Factor 5*q**3 - 6875*q**2 + 2359840*q + 2366720. 5*(q - 688)**2*(q + 1) Let i**3/5 - 3*i**2 + 23*i/5 + 39/5 = 0. Calculate i. -1, 3, 13 Let -2*b**4 + 16*b**3 - 48*b**2 + 64*b - 32 = 0. What is b? 2 Factor -2*f**3/17 + 6*f**2/17 - 8/17. -2*(f - 2)**2*(f + 1)/17 Let 7*h**5/4 - 715*h**4/2 + 35897*h**3/2 + 31672*h**2 + 32239*h/4 - 10609/2 = 0. Calculate h. -1, 2/7, 103 Factor -3*u**4/7 + 3*u**3 - 12*u**2/7 - 36*u/7. -3*u*(u - 6)*(u - 2)*(u + 1)/7 Determine t so that -507*t**4 + 351*t**3 + 144*t**2 + 12*t = 0. -2/13, 0, 1 Solve 4*p**3 - 516
{ "pile_set_name": "DM Mathematics" }
54*v**3/3 + 3300*v**2. What is the derivative of i(j) wrt j? -3294 Suppose 98*w - 8*w = 0. Let v(j) be the second derivative of -13*j**2 + 0*j**3 + 0*j**4 + 10*j + 1/10*j**5 + w. What is the first derivative of v(g) wrt g? 6*g**2 What is the third derivative of 2*q + 4*q**2 + 2713*q**6 - 2*q**2 - 218*q**6 - 36*q - 28*q**2 wrt q? 299400*q**3 Suppose u + 20 = 2*g, -u + 4 = g - 0. Suppose 12*c - g*c = 20. What is the second derivative of -4*j - 16*j**c + 0*j + 4*j**5 + 0*j wrt j? -240*j**3 Let s(k) be the third derivative of -263*k**8/168 + k**6/60 + 8*k**5/3 + 2192*k**2. Find the third derivative of s(v) wrt v. -31560*v**2 + 12 Let q(n) = -2*n**2 - 11*n - 5. Let r be q(-4). Differentiate -6*g**3 + 234 + r*g**2 - 298 - g**2 with respect to g. -18*g**2 + 12*g Let r(h) be the first derivative of 1/2*h**2 + 61*h + 46/3*h**3 + 78. Differentiate r(w) with respect to w. 92*w + 1 Let m(v) = 849*v**3 + 299*v - 8. Let c(h) = -848*h**3 - 299*h + 10. Let z(q) = -4*c(q) - 5*m(q). What is the second derivative of z(y) wrt y? -5118*y Let i = 346 + -316. Find the second derivative of -21*y + i*y**2 + 19*y - 48*y**2 + 1 wrt y. -36 Let q(b) be the second derivative of 7*b**6/30 - 79*b**5/10 - 2531*b**2/2 + 4*b. Differentiate q(o) with respect to o. 28*o**3 - 474*o**2 Let o(z) = -1125*z**3 + 1064*z**2 - 2*z + 6. Let w(n) = 1126*n**3 - 1063*n**2 + 3*n - 9. Let p(b) = -3*o(b) - 2*w(b). Find the third derivative of p(l) wrt l. 6738 Let v be (-103)/((-25)/10 + 2). What is the second derivative of v*f - 6*f**2 - 141*f + 3*f**5 + 3*f**2 wrt f? 60*f**3 - 6 Let s = 53 + -38. Suppose -2*t - 8 = -30. What is the derivative of 14 + 7*r - s*r - 2 + t*r wrt r? 3 Let r(h) be the third derivative of -h**7/30 + 44*h**6/15 - h**5/60 + 5*h**4/6 - 2*h**3/3 - 3*h**2 - 95. Find the third derivative of r(g) wrt g. -168*g + 2112 Let p be 3/15 - 5/((-50)/168). Suppose p = -3*k + 26. Find the second derivative of -3*z**5 + 0*z - k*z - 20*z**5 + 29*z wrt z. -460*z**3 Let y(v) be the first derivative of v**6/6 - v**5 + 223*v**4/2 - 346*v**3/3 - 3*v**2/2 - 6622. What is the third derivative of y(l) wrt l? 60*l**2 - 120*l + 2676 Let p(h) = -173*h + 1739. Let k be p(10). Let a(z) be the first derivative of -k + 0*z - 17/3*z**3 + 7*z**2. What is the second derivative of a(b) wrt b? -34 Let d(x) be the third derivative of -11*x**7/35 + x**6/60 - x**5/30 + 1201*x**4/24 - 19*x**2 - 177*x. Find the third derivative of d(p) wrt p. -1584*p + 12 Let z = -547 - -1627. Let d = z + 647. Differentiate -17*l**3 - 10 - 1727*l + d*l wrt l. -51*l**2 What is the second derivative of 2209*r - 37444*r**3 - 138*r + 74913*r**3 + 7*r**2 - 37997*r**3 wrt r? -3168*r + 14 Suppose -13 = -5*u + 22. Let n be 5*(0 + (-8)/(-140))*u. Find the first derivative of 49*p**n + 11 + 9 - 36*p**2 wrt p. 26*p Suppose -12 = 18*x + 8*x - 90. Let r(v) be the second derivative of -16*v - x*v**2 + 5/3*v**3 + 0. Differentiate r(a) wrt a. 10 Let h(p) = p**3 - 6*p**2 + 2*p. Let f be h(6). Suppose 15 - f = t. Find the third derivative of -9*k**2 + 26*k**t + 285*k - 16*k**2 - 285*k wrt k. 156 Let l(u) be the third derivative of 0*u**3 + 0 + 7/6*u**5 - 24*u**2 - 23/24*u**4 + 0*u. What is the second derivative of l(x) wrt x? 140 Suppose 3083 + 49 = 9*q. What is the second derivative of 174*p**2 + 174*p**2 - 214*p**3 + 2*p - 40 - q*p**2 wrt p? -1284*p Let j(z) be the second derivative of -4763*z**6/30 - 181*z**3/2 + z**2/2 - 3875*z. Find the second derivative of j(f) wrt f. -57156*f**2 Find the third derivative of -1936*i**5 - 1004*i**2 + 334*i**2 + 796*i**2 + 256*i**2 + 1846*i**2 wrt i. -116160*i**2 Let g(b) be the second derivative of -1/12*b**4 + 0 - 7/20*b**5 - 5*b**2 + 21*b - 2/3*b**3. Find the second derivative of g(f) wrt f. -42*f - 2 Let v(j) = 2*j**3 - 23*j**2 + 14*j - 30. Let b be v(11). What is the third derivative of -10*k**3 - 5*k + 119*k**b + 15*k + 2*k**2 wrt k? 654 Let a = -31 + 93. Let k be a/(-16)*-2 - (-3)/(-4). What is the second derivative of 7*o + 13*o**2 + 7*o**2 + k*o wrt o? 40 Let r = -33 + -4. Let q = r + 39. Differentiate 11*f**q - 30 - 11*f**2 - 32*f**3 with respect to f. -96*f**2 Suppose 0 = 7*d - 16 - 5. Let c be ((-3)/d - -1) + 3. What is the first derivative of 4*o**3 - 35 + 6 - 2 + 34*o**c wrt o? 114*o**2 Suppose -12*u + 8*u - 552 = -4*a, 3*u - 730 = -5*a. Find the first derivative of -143*m**2 - 30*m**4 - 117 + a*m**2 wrt m. -120*m**3 Let o(c) = 38*c**3 + 36*c**2. Let q(f) = 32*f**2 + 39*f**3 + 0*f**3 + 0*f**2 + 3*f**2. Let h(x) = 3*o(x) - 2*q(x). Find the third derivative of h(a) wrt a. 216 Let s(w) be the first derivative of -922*w**7/7 + 2*w**3/3 + 86*w**2 + 425. Find the third derivative of s(a) wrt a. -110640*a**3 Let z = 18 - 18. Let r be 9 + -3 - z - (1 - -3). Find the third derivative of 12 - 22*u**6 - 3*u**r - 32 + 20 wrt u. -2640*u**3 Find the first derivative of 52*o**2 + 372*o**2 + 112 + 468*o**2 - 1196 wrt o. 1784*o Let b(v) be the first derivative of -433*v**4/4 - 918*v - 1197. What is the first derivative of b(f) wrt f? -1299*f**2 What is the third derivative of -3*g**3 + 985*g**2 + 2104*g**4 + 35*g**3 + 27*g**3 - 59*g**3 wrt g? 50496*g Let b = -46 + 65. Let u = -17 + b. What is the second derivative of 15*a - 21*a**2 + 38*a**2 - 17*a**u - 22*a**5 wrt a? -440*a**3 Let v(m) = m**3 + 9*m**2 - 14*m + 43. Let j be v(-8). What is the first derivative of -36*k**3 - 112*k**3 + j*k**3 + 17 wrt k? 213*k**2 Let z = -101 + 103. Suppose z*j - 16 + 12 = 0. Find the first derivative of -435*d**2 + 35*d**3 + 435*d**j - 9 wrt d. 105*d**2 Let d(s) be the third derivative of 339*s**8/112 + 53*s**4/3 + s**3/3 + 920*s**2. Find the second derivative of d(p) wrt p. 20340*p**3 Let c(l) be the second derivative of 80*l**6/3 - 5*l**4/4 - 4*l**3 + 39*l + 2. Find the third derivative of c(z) wrt z. 19200*z Let c(r) = 4233*r**3 - 180*r**2 - 3*r + 11. Let m(k) = k**3 + k**2 - 3. Let g(o) = c(o) + 3*m(o). Find the third derivative of g(j) wrt j. 25416 Let w(r) be the second derivative of -4625*r**4/12 - 11*r**3/6 - 132*r**2 + 143*r + 9. Find the second derivative of w(x) wrt x. -9250 Let l(h) be the first derivative of 257*h**5/5 - 3*h**4/2 - 2*h**3/3 - 8433*h**2/2 - 1183. Find the second derivative of l(i) wrt i. 3084*i**2 - 36*i - 4 Let q(u) be the first derivative of 158*u**7 - 22*u**3/3 + 9*u - 685. Find the third derivative of q(o) wrt o. 132720*o**3 Suppose 2812*y - 36 = 2803*y. Find the third derivative of 14*o**2 + 38*o**2 + 0 + 45*o**2 + 0 + 28*o**y wrt o. 672*o Let m(g) be the first derivative of g**5/5 - 143*g**3 + 3289*g + 2126. What is the derivative of m(p) wrt p? 4*p**3 - 858*p Let q = -401 + 408. Let p be (-18)/((-1)/((-1)/(-2))). Differentiate -4*j**4 - 4 - q + 4 + p*j**4 wrt j. 20*j**3 Find the third derivative of -26*z**6 + 18312*z**5 + 3*z**4 - 327*z**2 - 18312*z**5 + 2169*z**2 + 6*z**6 wrt z. -2400*z**3 + 72*z Find the third derivative of -1004*k**3 + 2842*k**3 - 3*k**5 - 9*k + k**5 - 911*k**2 + 11*k wrt k. -120*k**2 + 11028 Differentiate 97*b + 100*b + 432 - 32*b + 2*b**2 + 1 wrt b. 4*b + 165 Let s(l) = 4*l**2 - l + 1. Let k be s(1). Let c = -294 - -298. What is the third derivative of 0*g**2 - 8*g**2 - 10*g**k - 3*g**2 - 19*g**c wrt g? -696*g Find the second derivative of -252*u**2 + 262*u**2 - 108*u**3 + 2 - 350*u - 3 + 1693*u wrt u. -648*u + 20 Let k be (-587)/(-14) - (-39)/546. Find the second derivative of -241*q**2 - 313*q - 20*q**2 - k*q**2 wrt q. -606 Let o = -41 - -44. Suppose 0 = -3*j - 5*t + 1, 4*j + 2*t = -o + 9. What is the third derivative of 8*w**2 + w**j + 8*w**6 + 13*w**2 wrt w? 960*w**3 Suppose 9*f + 21 = 1101. What is the first derivative of 54 + 90 - 47*o + f*o**3 + 46*o wrt o? 360*o**2 - 1 What is the first derivative of 7654 - 3157 + 83866192*m - 83863498*m wrt m? 2694 Suppose 0 = -2*f - f. Let y be 1 + f + 41 + -4. Find the third derivative of y + 20*w**5 - 15*w**2 - 38 + 5*w**2 wrt w. 1200*w**2 Differentiate -579 - 4145*u + 91 - 569 + 11*u**3 + 4189*u with respect to u. 33*u**2 + 44 Suppose 0 = 13*v - 1840 - 4946. What is the third derivative of 524 - 1046 + 54*a**2 + v - 120*a**5 wrt a? -7200*a**2 Let a be (-45)/60 - (-1)/((-8)/(-70)). Let y be -28*(3 + -5)/a. What is the second derivative of -172*r**2 + 172*r**2 - 4*r + y*r**4 wrt r? 84*r**2 Let a(w) be the second derivative
{ "pile_set_name": "DM Mathematics" }
**3) to i*d**2 + c*d**3 + l + n*d and give c. 834 Rearrange -12776*u + 12776*u - 1506 - 2*u**3 - 1196 to the form d + w*u**2 + p*u**3 + o*u and give w. 0 Express -7 - 2*d + 339*d**4 - 76*d**4 + 14*d**2 - 270*d**4 in the form z*d**4 + s*d**3 + t*d + a*d**2 + u and give u. -7 Rearrange -109 - 32*j - 4*j + 18 - 3 to the form i + m*j and give i. -94 Express 36 + 23 - 3*z**2 - 89 + 29 - 3*z + 4*z**3 in the form r*z + q*z**2 + b + p*z**3 and give r. -3 Express 38*u**2 + 8*u**2 - 12*u**2 + (-3*u + 2*u + 0*u)*(-22 + 22 - 7*u)*(-2 + 3 - 2) in the form y*u + j + t*u**2 and give t. 27 Rearrange (0*x**2 - x**2 + 0*x**2)*(838 + 1237 - 447)*(15 - 15 - 6*x) to v*x + c + r*x**2 + t*x**3 and give t. 9768 Express 2*r**2 - 5*r**2 + 4763*r**3 - 71 - 4762*r**3 - 4*r**2 in the form m*r**2 + j*r**3 + t*r + s and give j. 1 Rearrange (0*i**2 + 4*i**2 + 0*i**2)*(9565 - 7294 - 2*i + 17109) to the form n*i + d + l*i**3 + r*i**2 and give l. -8 Rearrange -2974 - 5867*q + 3587 - 5868*q + 11733*q + 3366 to the form v*q + b and give v. -2 Express -2856*x - 1020*x - 3528*x as t + s*x and give t. 0 Rearrange 11*y**3 - 2*y**3 - 63 + 2*y - 11*y**2 - 10*y**3 + 13*y**2 - y**3 to r*y**2 + a*y + w*y**3 + m and give m. -63 Express -54*c**3 - 23*c**3 + 26*c**3 + (2*c + 6*c - 4*c)*(0*c**2 + 5*c**2 - 2*c**2) in the form q + w*c + i*c**3 + j*c**2 and give i. -39 Rearrange (2 + 23*p - 6*p - 3)*(-77*p - 54 + 54 + 2*p - 3*p - p + (-3 + 5 - 3)*(-3*p + p + 0*p) + 2*p - 3*p + 0*p) to the form b*p**2 + q + x*p and give q. 0 Rearrange -13*g + 6*g**4 + 0 - 36*g + 5*g**3 + 8*g**4 - 3 - 13*g**4 to the form l*g**2 + p*g**3 + x*g**4 + i + d*g and give p. 5 Express -1392*l**2 + 3*l**3 + 1390*l**2 + 3*l**3 - 8*l**3 - 717*l**4 + 2 in the form t*l + h*l**2 + f*l**4 + m*l**3 + y and give y. 2 Rearrange 2 + 15 - 4*f - 19 + 19*f**2 - 11*f - 71*f to q + b*f + a*f**2 and give b. -86 Express 2839404*c**2 - 2839404*c**2 - 87*c**3 - 8*c as t*c**3 + r + n*c**2 + w*c and give n. 0 Express -12*z**3 - 4*z**3 + 14*z**3 - 3*z**2 + 5*z + 15 - 8 - z as f + w*z + l*z**2 + v*z**3 and give f. 7 Express 1173 + 3950 - 117 + 2980 - 1228 - x in the form h + t*x and give t. -1 Rearrange 3879*c - 1430*c + 3890*c + 208*c + 851*c to the form y + z*c and give y. 0 Express (-1 - 3 + 3)*(-2 - 141 - 386)*(-3*b + 2*b - b) - 3*b + 3*b - 2*b + 2*b + 3*b - 3*b in the form v*b + l and give v. -1058 Rearrange -d**3 + 21226*d**4 - 21230*d**4 - 24*d + 2*d**2 - 55*d + 0*d**3 to the form p + g*d**4 + n*d**2 + k*d + q*d**3 and give g. -4 Rearrange (235*k - 457*k + 42 + 223*k)*(1 - 6 + 2)*(7 - 5 + 5) to the form o*k + s and give s. -882 Express 5*t**2 + 0*t**2 - 201353*t + 201536*t + (0*t + 0*t + t)*(t + 5*t - 5*t) in the form n*t + o*t**2 + l and give n. 183 Rearrange (4 + 0 - 3)*(-7*i + 7 + 12*i - 10*i) + 251*i + 260*i + 324*i - 160*i to u + w*i and give u. 7 Rearrange (-4*r + 6*r - 3*r)*(-9781 + 31165 + 43767) to the form u*r + l and give u. -65151 Express 593*j**4 - 1208*j**4 - 8*j**3 + 599*j**4 + 1 as k + u*j**4 + c*j + z*j**2 + q*j**3 and give k. 1 Rearrange 1796 - 112*i + 354*i + i**4 - 1801 to j*i + p + x*i**3 + o*i**2 + r*i**4 and give p. -5 Express -24 + 7211*k + 24 - 4697*k + 10159*k as l*k + x and give x. 0 Express -16*t**3 - 3*t**2 + 8*t + 42*t - 14*t - t**3 + 2 + t**4 + 13*t**3 as z + l*t**2 + y*t**4 + n*t**3 + s*t and give s. 36 Express -500*w**2 + 2*w**3 - w - 1408*w**2 - 98*w**2 as a*w**2 + r + t*w + p*w**3 and give p. 2 Express -172*s + 3*s**4 + 233*s - 46*s**3 - 50*s as r*s + t*s**3 + j + o*s**4 + a*s**2 and give t. -46 Rearrange (-6*z**2 + 4 - 4)*(-1235 - 908 + 3887 - 1410 - 946) to c + q*z**2 + o*z and give o. 0 Express (23*u + 19*u - 104*u)*(-295 + 141 + 149) in the form t + q*u and give q. 310 Rearrange (4 - 2 + 4 - q)*(q + 283 + 336 - 415) to c*q**2 + j*q + t and give c. -1 Express (-k + 4*k - 4*k)*(-165*k**2 + 477*k - 477*k)*(-13*k - 36 + 36) in the form s + m*k**3 + i*k**4 + y*k**2 + j*k and give i. -2145 Rearrange -69*u - 475*u - 150*u - 322*u to the form a + x*u and give x. -1016 Rearrange 8*k + 24 + 20 - 50*k + 12*k to x + s*k and give x. 44 Rearrange -737 - 2*v + 5623 + 1076 to n*v + u and give u. 5962 Express (-2*y + 2*y - 3*y + 0*y - 4*y + 3*y + (0*y + 3*y - y)*(-4 + 1 + 1) + 4*y - 2*y + 0*y - 3 + 3 + y)*(-25 + 315 + 259) in the form r*y + n and give r. -2745 Express -13 - 10*k**2 - 9 + 6*k + 14 + 0*k**2 in the form a*k**2 + n + m*k and give m. 6 Express 939*z**3 + 2*z**2 - 1487665*z**4 + 0*z**2 + 860*z**3 + 1487663*z**4 in the form t*z + y*z**3 + s*z**4 + o + k*z**2 and give s. -2 Express -20*k**2 + 64*k**2 - 14*k**2 - 429 - 29*k**2 in the form x*k**2 + g*k + z and give x. 1 Express (-267*x + 189*x + 2132*x)*(5 - 4*x + 3*x + 0*x) as y + m*x**2 + v*x and give v. 10270 Rearrange y**3 + 607*y - 7 - 613*y - 2*y**3 to the form h*y**2 + m*y + g + z*y**3 and give m. -6 Express 3*m**4 - 60*m**3 - 89*m**3 - m**4 + 204*m**3 + 74*m as q*m + l + u*m**4 + w*m**3 + d*m**2 and give q. 74 Express (4 - 9 + 4 + 4*h)*(9*h**2 - 127*h**2 + 15*h**2) - 3*h**2 - 5*h**3 + 3*h**2 in the form c*h + g*h**3 + s + i*h**2 and give g. -417 Express (3*w - 2*w**2 - 3*w)*((1 + 3 - 2)*(-5*w - w + 4*w) - 138*w + 80*w - 106*w) - 5*w - w**3 + 5*w as d*w**3 + g*w**2 + r + n*w and give d. 335 Rearrange (-3*a**2 + 5*a**2 - 3*a**2)*(-2*a - 3*a + 4*a) + 15*a - 953 - 164*a**3 + 476 + 477 to the form b*a + j*a**3 + o + p*a**2 and give b. 15 Express 5 + 98*x**2 - 2*x + 11 - 5 - 9*x**2 - 2*x**2 in the form f*x + m + g*x**2 and give m. 11 Express 6 + 10*z**3 - 3*z + 8 - 33*z**3 - 13*z**3 in the form w*z + j*z**2 + a + x*z**3 and give w. -3 Rearrange (4 + 2 - 5)*(-74*j - 42*j + 5*j)*((5 + 2 - 8)*(0*j - 2*j + j) + j - j + j + 2*j - 4*j - j) to k + a*j**2 + v*j and give a. 111 Express 4133*y - 770*y - 108*y + 1 as a*y + o and give a. 3255 Express -13 - w + 86 - 194 in the form m*w + o and give m. -1 Rearrange -304*d + 411*d + 26*d**4 - 287*d + (1 + 1 - 1)*(d**4 - 4*d**4 + d**4) to the form x*d + w*d**2 + a + m*d**3 + q*d**4 and give m. 0 Express (-3985 + 3985 + 77*v**2)*(31*v - 15*v - 9*v + 177 - 4*v) in the form f*v**3 + k + i*v + d*v**2 and give d. 13629 Express -5*a**3 - 20*a**3 - 8*a**3 + 2*a + 3*a**2 + 14*a**3 + 2 - 9*a**3 as p*a**2 + k*a**3 + n*a + t and give n. 2 Rearrange 920*a - 1906*a + 4*a - 1727*a - 577*a to the form v*a + x and give v. -3286 Express 1506*h**3 - 1615 + 1475*h**3 - 2980*h**3 as s*h**2 + n*h + d*h**3 + a and give d. 1 Rearrange 913 + 15891*q**2 + 22 - 7937*q**2 - 7953*q**2 + 415 to the form h*q + d*q**2 + a and give a. 1350 Rearrange 15 - 28*t**4 - 3 - 16 - 14*t + 2 to the form d*t**4 + o*t**2 + u*t + y + m*t**3 and give y. -2 Rearrange -2*x**3 + 0*x**3 + x**3 + (51*x + 133*x - 56*x)*(-x**2 + 4*x - 4*x) + 3 - x**3 - 3 - x**2 to p + c*x + o*x**3 + r*x**2 and give o. -130 Express 672*o - 896*o - 188*o - 1 as u*o + f and give f. -1 Rearrange 3*k - 1 + 1 + (44 + 4 + 94)*(0*k + 2*k - k) + 2*k + 0 + 0 + k + 2 - 2 + (-1 + 5 - 3)*(6*k - 4*k - k) to the form y + w*k and give w. 149 Express r + 1 - 17*r**3 + 2 + 3*r**2 - 8 - 5 + 7 in the form x*r**3 + q + v*r + s*r**2 and give x. -17 Rearrange (-2*l**3 - 5*l**3 + 11*l**3)*(-1929 - 5078 - 207 + 327 + 708) to a*l + m*l**3 + w + i*l**2 and give m. -24716 Express 32*z**2 + 8*z**3 - 5249 + 5251 - 6*z**3 as j*z**3 + g*z**2 + o*z + r and give g. 32 Rearrange 92*l**3 + 4*l**2 - 221*l**3 + 108*l**3 - 2 + 22*l**4 to o*l**4 + w + r*l**2 + k*l**3 + u*l and give w. -2 Express (-526567 + 526567 - 69*n + 11*n)*(-7*n - 8*n + 11*n) in the form y + h*n + v*n**2 and give v. 232 Rearrange (-33 + 62 - 23)*(40*c**2 + 59*c**2 - 36*c**2) + 3*c**2 - 3 - c**2 + 4 to p*c**2 + w*c + g and give p. 380 Rearrange (f**2 + 3*f**2 - 6*f**2)*(-2484*f - 97*f**2 + 1246*f + 1240*f) to the form r*f**3 + x*f + a*f**4 + u*f**2 + v and give a. 194 Rearrange (2 + 0 - 5)*(45 - 19 - 11395*a + 3932*a - 26) to k + h*a and give k. 0 Express (-1293 + 1176 + 623)*(6*f**3 - 5*f**3 - 3*f**3) + f**3 - 1 + 1 as c + b*f + n*f**3 + t*f**2 and give c. 0 Rearrange -5*i**3 + 3*i**3 + 3*i**3 + (-1 + 0 - 2)*(-31266*i + 31266*i + 398*i**3) to b*i**2 + x + s*i + g*i**3 and give g. -1193 Express -447 - 8*r**3 - 16*r**3 - r + 0*r + 4*r**2 + 29*r**3 - 3*r**2 in the form b*r**3 + t + j*r**2 + y*r and give j. 1 Express (-635*q + 947*q + 457*q)*(-5*q - q + 2*q)
{ "pile_set_name": "DM Mathematics" }
ose -y = -r - 4*r. Suppose 4*h = -2*k + 1 + r, 5*h - 15 = 0. What is the highest common factor of 12 and k? 4 Let p = 18 + -16. Calculate the greatest common factor of p and 4. 2 Suppose 20 = -0*m + 4*m - 4*d, -2*m = 5*d - 38. Suppose -4*r + 106 = 5*b, 3*b - r + 94 = 8*b. Calculate the greatest common factor of m and b. 9 Suppose -4*d - 30 = 2*v - 0*v, -d = -4*v - 15. Let g(m) = -3*m + 1. Let l be g(v). What is the greatest common divisor of l and 2? 2 Suppose 117 = l + 47. Let q be (28/16)/(1/16). What is the greatest common factor of q and l? 14 Suppose -g + 4*g = 0. Suppose g = -t + 4. Suppose n = 4*n - 96. What is the highest common divisor of t and n? 4 Let i(h) = h - 3*h + 1 + 2*h**2 + 3*h - 6. Let w be i(3). Calculate the highest common divisor of 4 and w. 4 Let d be -1 - ((2 - 1) + -270). Let h = -160 + d. Let w be -3 - 489/(-33) - 2/(-11). What is the greatest common factor of w and h? 12 Let l(h) = h**3 - 3*h**2 + 3*h - 3. Suppose 6 = -5*n + 16. Let m be l(n). Let b be m - (-17 - -1*2). What is the greatest common factor of 126 and b? 14 Suppose 12 = 3*n - 45. What is the highest common divisor of 209 and n? 19 Let r = 122 - 82. Let z = -16 + r. Let j be 12 + (-4)/4 - 3. What is the greatest common divisor of j and z? 8 Let o = -14 - -44. Suppose 3*p = 9 + 21. What is the highest common factor of p and o? 10 Let i(r) = -r**2 - 4*r - 3. Let k be i(-4). Let y be (1 + 104)*(-1)/k. Calculate the highest common factor of 7 and y. 7 Let k(z) = z**3 + 14*z**2 - 4*z - 4. Let b be k(-14). Calculate the greatest common divisor of b and 4. 4 Let i be (-6)/21 + 23/7. Let f be 14*(i + 0)/3. What is the greatest common factor of f and 112? 14 Let k be (-4 - (-48)/9)*9. What is the highest common divisor of 8 and k? 4 Suppose 172 = 5*c - 4*y, -2*y - 2 = 2*c - 78. Suppose 3*h + 8 = 5*h. Calculate the greatest common factor of h and c. 4 Suppose 2*c - 42 - 48 = 0. What is the greatest common divisor of 15 and c? 15 Let g = -47 - -91. What is the highest common factor of 11 and g? 11 Let c(d) = -8*d**2 - 4*d + 6. Let q be c(5). Let v = q - -319. Let s = v + -35. What is the highest common factor of 28 and s? 14 Let a be 16 + -13 + (-7)/(-1). What is the highest common divisor of a and 6? 2 Let q(p) = 12*p + 6. Let t be q(-4). Suppose -36 - 23 = -y. Let i = y + t. Calculate the highest common divisor of i and 34. 17 Let r(k) = 2*k**2 + 4*k - 12. Let u be r(-5). What is the highest common divisor of u and 9? 9 Suppose -5*b + 15 = -165. Let d(n) = -n**2 - 10*n + 3. Let g be d(-6). Let l be 6/g - (-428)/18. What is the highest common factor of b and l? 12 Suppose -44 = -2*f + 10. What is the greatest common divisor of 18 and f? 9 Suppose 8 = -2*r - 3*p - 0, 3*r - 3*p - 3 = 0. Let y = 19 - r. What is the greatest common factor of y and 20? 20 Let m(q) = q**2 + 6*q - 10. Let t = -68 + 95. Suppose 0 = o - 4*o - t. Let v be m(o). Calculate the highest common divisor of v and 119. 17 Suppose -2*r = 4*r - 126. Calculate the highest common divisor of 252 and r. 21 Suppose 0 = 4*s - 2*w - 14, -2*s = s + 2*w. Suppose -s*x = -2*i + 3*i + 15, i + 5 = 3*x. Let z = 23 + i. What is the highest common divisor of 12 and z? 12 Suppose 4*f - z = 572, -15 = -4*z + 1. Suppose -x + 3*x - f = 0. Suppose -3*h + 0*r = 3*r - 30, 0 = -5*r + 10. What is the highest common divisor of h and x? 8 Let q = 23 + -5. Suppose p - 1 = -0*p. Let g be 6/(3 - p) - 1. Calculate the greatest common factor of g and q. 2 Suppose 2*m - 4*w = 56, 0 = 4*m - m - 5*w - 86. Calculate the greatest common divisor of m and 256. 32 Suppose 6*q = 3*q + 2*y + 94, 2*q - 3*y = 66. Calculate the highest common divisor of 40 and q. 10 Let m(k) = -k**3 + 3*k**2 - 4*k. Let i be m(3). Let o be (-40)/(2*3/i). What is the highest common divisor of o and 16? 16 Let m be (-6)/9*-9*1. Calculate the highest common divisor of m and 12. 6 Suppose 8*n - 4*n = 48. Calculate the greatest common divisor of n and 30. 6 Let o(f) = f**2 + 8*f - 1. Let d be 1*-3*(-6)/(-2). Let c be o(d). What is the greatest common divisor of c and 24? 8 Suppose 3*j + 48 = 7*j. Calculate the greatest common divisor of j and 108. 12 Suppose -2 = -b + 2*b. Suppose -w = -x + 3, -w + 0*x - 18 = -4*x. Let l be 8 - (b + 3 - w). What is the greatest common factor of l and 1? 1 Suppose -5*f - 5*j = -25, -7 = -4*f - 5*j + 17. Let g(s) = 4*s**2 + 3 - 4*s + s**2 - 4*s**2. Let n be g(4). What is the greatest common factor of f and n? 1 Let x(o) = -8*o + 11. Let k be x(-10). Let q be (26/8)/((-1)/(-4)). What is the greatest common divisor of q and k? 13 Let u = -5 + 8. Suppose -4*o - 54 = -9*o - 3*l, u*o - 28 = -4*l. Suppose o = 5*z - z. What is the greatest common factor of 21 and z? 3 Let h(s) = 3*s - 13. Let v be h(8). Calculate the greatest common factor of v and 2. 1 Let m = 51 - 9. Calculate the highest common divisor of 56 and m. 14 Suppose 2*n = 7*n. Suppose n = -3*v - 2*w + 129, 0*w + 3*w = -v + 50. Let y = -22 + v. What is the highest common factor of y and 19? 19 Suppose -5*a + 340 = 4*b, -5*b + 2*a = -420 - 38. Calculate the greatest common factor of b and 60. 30 Let x be 3 - (0 + 1 - 31). Calculate the greatest common factor of x and 3. 3 Suppose 0 = -6*w + 11*w - 20. Suppose -2*l + x + 6 = 0, 3*l - w*x - 4 + 5 = 0. What is the greatest common divisor of l and 5? 5 Let t(o) = o**2 + 3*o + 1. Let q be t(-2). Let y be (q - (-3)/9)*-6. Let m = -1 + 5. Calculate the greatest common divisor of m and y. 4 Let q(s) = s**3 + 2*s**2 - 2*s - 3. Let o be q(-3). Let g be ((-12)/8)/(o/56). Calculate the greatest common factor of g and 98. 14 Let c(o) = -10*o - 6. Let d be c(-6). Calculate the highest common divisor of d and 135. 27 Let i(c) = c + 1. Let y be i(-1). Suppose y*p - 2*p + 18 = -2*l, 5*p = l + 57. What is the greatest common divisor of 4 and p? 4 Let d be (12/(-14)*112/(-24))/4. Calculate the highest common factor of d and 5. 1 Let a = 0 + 3. Suppose -i + k = -4 - 2, -a*k = 5*i - 14. What is the greatest common divisor of i and 4? 4 Let r = -13 - -16. What is the highest common factor of r and 24? 3 Let m(b) = -4*b**3 - 6*b**2 - 2*b - 8. Let i be m(-4). Calculate the highest common factor of 64 and i. 32 Suppose 4*y - x - 136 = 0, 2*y - 66 = -0*y + x. Suppose -u + 9 = 3*q, 5*q = 2*u + 3*u + y. Calculate the highest common divisor of 2 and q. 2 Let z be (-4)/(-6) + (-1940)/(-15). Let v = z - 73. Let c(i) = i**3 + 8*i**2 + 3*i + 10. Let s be c(-7). Calculate the highest common factor of v and s. 19 Let n = 9 - 5. Suppose 4*l + 4*d - 20 = 0, n*l - 6*l - 5*d + 19 = 0. What is the greatest common factor of l and 14? 2 Suppose 3*m + 5*r + 7 + 8 = 0, 5*r = -5*m - 25. Let k = m - -12. Suppose h - 3*q = 1, -4*h - 3*q = q - 4. Calculate the greatest common factor of k and h. 1 Let v be (-1 + 3)*7*(-24)/(-28). What is the highest common factor of 8 and v? 4 Suppose 2 = -k, v + v = -5*k + 74. Let m = -18 + 46. Calculate the highest common divisor of v and m. 14 Suppose 0 = -5*t + 102 + 123. Let w(r) = r + 3. Let z be w(-5). Let x be (-36)/z - (0 - 0). Calculate the greatest common divisor of x and t. 9 Let i be (-7 + 10)/(6/128). Calculate the greatest common divisor of i and 16. 16 Let c = 37 + 117. Calculate the highest common factor of c and 14. 14 Let p be 2/5 - 13/(-5). Suppose p*s = s. Suppose l + 4*l - 280 = s. What is the highest common divisor of 7 and l? 7 Let r be 20/(-6)*3/(-2). Suppose -83 = -r*f + d + 2*d, -3*d + 77 = 5*f. What is the greatest common divisor of f and 4? 4 Let m be 33/7 + (-10)/(-35). Suppose -4*n - h - h - 14 = 0, -n = m*h - 19. Let k = 9 + n. Calculate the highest common factor of 18 and k. 3 Let q be ((-1)/3)/(5/(-120)*2). What is the highest common factor of q and 28? 4 Suppose -4*m + 1 + 31 = 0. Let r be 2/(-3)*45/(-6). Let o be (r*3)/(12/16). What is the greatest common factor of m and o? 4 Suppose 2*p = -5*x - 71 + 224, 0 = x - 5. What is the highest common divisor of p and 16? 16 Let s = 7 - 3. Suppose s*b - 2*b - 22 = 0. What is the highest common divisor of 77 and b? 11 Let i(j) = -3*j + 2. Let q be i(2). Let c be (-1)/(-2) - 2/q. Let n be (-2 - 3 - c)*-18. What is the greatest common divisor of 12 and n? 12 Let b(v) = 3*v - 7 - 2*v + 0*v - 3*v. Let r be b(-5). Calculate the greatest common divisor of r and 1. 1 Let
{ "pile_set_name": "DM Mathematics" }
the thousands digit of m(-13)? 3 Let f = -17 - -17. Suppose -3*y + 144 - 57 = f. What is the units digit of y? 9 Let c(r) = r**3 + 8*r**2 + 11*r + 15. Let d be c(-6). What is the tens digit of 8*d*(-4)/(-24)? 2 Let a be 4/(-22) + (-24)/(-11) - 11. Let i = a - -105. What is the tens digit of i? 9 Suppose -47 = -3*d - 2. Let x = d + -12. Suppose x*l = -24 + 207. What is the units digit of l? 1 Suppose 3499 + 6691 = 10*n. What is the tens digit of n? 1 Let q(o) = -5*o + 15. Let f be q(7). What is the units digit of 36 - (-12)/(f/(-5))? 9 Let o be (-1 - 2/(-2)) + 0. Let f be (-14 - -10)*(0 - 1). Suppose c = 4*z - 2, f*z - 8 = -2*c - o*z. What is the units digit of c? 2 Suppose 0 = 179*w - 172*w - 119. What is the units digit of w? 7 What is the tens digit of 5 + (6 - 21150/(-9))? 6 Suppose z - 4 = 4*u - 0, 3*u = -z + 4. Suppose -z*a - 5*p = 39 - 172, -99 = -3*a - 4*p. What is the tens digit of a? 3 Let n(d) = d + 21. Let g be n(-12). Suppose -w - g = -10. What is the units digit of (1 + (0 - -16))/w? 7 Let a = 6 + -17. Let d = -7 - a. Suppose b - d*b + 69 = 0. What is the units digit of b? 3 Suppose -1864 = -8*d - 72. What is the hundreds digit of d? 2 Let c = -197 - -500. What is the hundreds digit of c? 3 Let g(w) = -w**2 + 4*w + 4. Let n be g(6). Let s(k) = -k - 10. Let l(c) = -3*c - 21. Let u(z) = 3*l(z) - 7*s(z). What is the tens digit of u(n)? 2 Let u(s) = s**2 + 3*s + 2. Let p be u(-3). Let j(c) = c**3 + 0*c**3 + 9*c**p + 7 - 4*c**2 - c. What is the tens digit of j(-5)? 1 Let f = 767 + 625. What is the hundreds digit of f? 3 Let k(w) = -9 + 18*w + 6*w - w**3 - 32*w + 9*w**2 + 21. Suppose c + d - 9 = 0, -5*c + 4*d + 1 + 35 = 0. What is the units digit of k(c)? 2 Let a be (12/24)/((-2)/(-208)). Let w = -18 + a. What is the units digit of w? 4 Suppose 4*k = -0*k + 20. Suppose -3*n = k*n - 2000. Suppose 5*i + 2*t - n = 0, -i = t + 4*t - 73. What is the units digit of i? 8 Suppose 3*n + 418 - 514 = 0. What is the tens digit of n? 3 Let y(s) = s**3 + 11*s**2 + 4*s + 2. Let b be y(-5). Suppose 0 = 6*p - 0*p - b. What is the tens digit of p? 2 Suppose -1 = -s, -31*g + 30*g - 4*s = -1055. What is the units digit of g? 1 Suppose -5*z + q + 4379 = 0, 68*q - 1 = 67*q. What is the tens digit of z? 7 Let b be (1 + -3)*(-3)/((-3)/(-16)). Let y = -12 + b. What is the units digit of y? 0 What is the units digit of 8 + (-1019)/(-2)*4? 6 Let u = 394 - 201. What is the units digit of u? 3 Let j be (3*3)/(9 + -6). Suppose 0 = 6*t - j*t - 39. What is the tens digit of t? 1 Let h = 39 - 49. Let x(y) = 2*y**2 + 9*y - 14. What is the units digit of x(h)? 6 Let w(j) = -114*j - 35. What is the units digit of w(-9)? 1 Let d = -344 + 2344. What is the units digit of d? 0 Let g(m) = 13*m. Let h be g(3). Suppose 6*q + h = 147. Suppose 0 = -6*r - q + 342. What is the tens digit of r? 5 Let k(w) = 6*w**2 - 2*w + 3. Suppose c - 2*y + 4 = 0, -2*c = 2*c + y - 11. Suppose -u = -2*u + c. What is the tens digit of k(u)? 2 Let b(d) = d**3 + 11*d**2 - 6*d - 4. Let u be b(-11). Let h = u + 13. What is the tens digit of h? 7 Let a = 59 - 53. What is the units digit of a/(-2) - (-4 + -69)? 0 What is the hundreds digit of ((-64)/(-160))/(1/10) + 402? 4 Let p(d) = 9*d - 3. Let m be p(1). Suppose -m*a - 2 = -5*a. Let r(j) = -15*j + 3. What is the tens digit of r(a)? 3 Suppose -5*t + 31 = -2*n, t + 2*t = -5*n. Let a be 4/12 + t/3. Suppose -3*k - 2*k - 2*b = -85, 20 = 2*k - a*b. What is the units digit of k? 5 Suppose -2*p + 3*p = 5. Suppose p*q - 239 = -4*j, j - 4*q = -19 + 84. What is the tens digit of j? 6 Let v be (-203775)/(-231) + (-2)/14. Suppose 3*t - 2*d - 769 = 0, -v - 401 = -5*t + 2*d. What is the hundreds digit of t? 2 Let i be (-2 + -4)*(-2)/(-6). Let k(l) = l**2. Let d be k(i). What is the units digit of -1*8*(-21)/d? 2 Let h be -5*(0 + 1)*1. Suppose 8*n - 27*n - 57 = 0. What is the tens digit of (3 + h - n)*41? 4 Let n(o) = -o**2 - 6*o + 2. Let q(r) = 3*r**2 + 11*r - 5. Let a(y) = -5*n(y) - 2*q(y). Let u be a(7). Let p = u - -16. What is the units digit of p? 3 Suppose 0 = w + 1 - 118. Let m = w + -70. What is the units digit of m? 7 What is the units digit of ((-840)/200)/((-14)/20)? 6 Let u be (102/8)/(6/64). Suppose -l + 26 = -5*v, 5*l - 4*v - 99 = u. What is the tens digit of l? 5 Let j(a) = a**2 + 7*a + 10. Suppose 6 = -4*k - 18. Let h be j(k). Suppose 3*u = h*z + 21, 5*u - 33 = 5*z + 2. What is the units digit of u? 7 Let c = 1931 + 3029. What is the units digit of c? 0 Suppose -3*k = 2*k - 735. Suppose 4*b - 451 = -k. Suppose 6*q = 2*q + b. What is the units digit of q? 9 What is the hundreds digit of (-2790)/(-27)*(22/4 + -1)? 4 Suppose 7*j = 6*j + 40. Suppose -13 + j = -3*t. Let r = t + 11. What is the units digit of r? 2 Let p(q) = -q + 17. Suppose 4*k - n = 64, -2*n + 0*n = 3*k - 37. Let x be p(k). Suppose x = -z + 28. What is the tens digit of z? 2 Let x(s) = -s + 9. Let w be x(9). Let u be w - (2 - 4)*4. Suppose 2*o + 35 - u = 3*a, -4*a - 5*o + 59 = 0. What is the units digit of a? 1 Let t(l) = 31*l**2 - 7*l - 5. Let i be t(-2). Let v = 231 - i. What is the units digit of v? 8 Suppose 0 = 22*m - 15904 - 55970. What is the hundreds digit of m? 2 Suppose 2*a - 5*a = -12. Suppose -2*w - q + 5 = -0, 0 = 4*w - 5*q - 3. Suppose -3*x = w*r - a - 21, -3*r + x = -10. What is the units digit of r? 5 Suppose -2 = 3*o + 5*z - 1, -6 = 5*o + 4*z. Let m(v) = 14*v**2 + v. What is the units digit of m(o)? 4 Suppose 2*j - 444 = -2*l, 1094 = -0*l + 5*l + j. What is the hundreds digit of l? 2 Let s(d) = -96*d + 3. Suppose 0 = -2*r - 3*x - 5, -3*r + 1 = -4*x. Let p be s(r). Suppose 0 = 3*y - y + b - p, -4*y = 4*b - 208. What is the units digit of y? 7 Let u(p) = 12*p**3 - 8*p**3 - p - 5*p**3 - 3*p**2. Let o be u(-3). Suppose -5*b - o*a + 134 = 0, -2*a - 50 - 44 = -4*b. What is the tens digit of b? 2 Suppose -10*y = 4*o - 5*y - 578, -2*y = -5*o + 739. What is the tens digit of o? 4 Let i(r) = -r**3 - r + 14. Let q be i(0). Suppose 2*k + 5*h - 12 = 0, -5*k - 4*h - 6 = -6*k. Let d = q - k. What is the units digit of d? 8 Let a = -472 + 964. What is the hundreds digit of a? 4 What is the units digit of (20/(-30))/2 + (-13268)/(-6)? 1 Let w(u) = 14*u - 74. What is the units digit of w(17)? 4 Let t be (-57)/(-30)*46 + (-12)/30. Let h = -43 + t. What is the units digit of h? 4 Let g = 5626 - 3957. What is the hundreds digit of g? 6 Let n = -44 - -64. Suppose 2*h - 82 = n. Let v = h + -25. What is the tens digit of v? 2 Suppose -20*g = -19*g - 3. What is the units digit of (6 + 17)/(3/g)? 3 Suppose -4*s + 3*g = -85, 0*s - 2*s + 50 = -4*g. Let t(c) = -c**2 + 25*c + 1. What is the units digit of t(s)? 5 What is the tens digit of 1/(-9) - 5/(-180)*80284? 3 Suppose -27*z + 32*z = -b + 4750, 3*z + 9565 = 2*b. What is the units digit of b? 5 Suppose -3*f + 1470 = 3*u, -58 + 2016 = 4*u + 2*f. What is the hundreds digit of u? 4 Suppose 0*p - 15 = -5*p. Suppose -3 = p*f - 21. Suppose -3*l - 21 = -f*l. What is the units digit of l? 7 Let q = -17 + 776. What is the tens digit of q? 5 Suppose 0 = -5*x - b + 4080, 2*b = -3*x - 2*b + 2465. What is the hundreds digit of x? 8 Suppose -5*t + 4*x + 5 = 0, t - 4*t - 2*x = -3. Let j = -2 + t. What is the tens digit of (-1 + j)/((-1)/5)? 1 Suppose 7607 + 16717 = 12*u. What is the hundreds digit of u? 0 Suppose 3*p + 94 = -x + 546, 2*p - 300 = -2*x. What is the hundreds digit of p? 1 Let a(p) = -p**2 - 29*p + 2. What is the tens digit of a(-7)? 5 Let h = -568 - -922. What is the hundreds digit of h? 3 Suppose -d + 12 - 2 = 0. Let u be ((-4)/d)/((-10)/300). Suppose 0 = -4*o + 68 + u. What is the tens digit of o? 2 Suppose -272 = 25*u - 21*u. Let g = u - -141. What is the tens digit of g? 7 Suppose 4*a - 23*a + 15713 = 0. What is the hundreds digit of a? 8 Let i = -1610 + 3000. What is the units digit of i? 0 Suppose 0 = 3*m + 3*f - 285, 2*m - 14*f + 19*f - 175 = 0. What is the tens digit of m? 0 Let k = -27 + 20. Let j(x) = -x**2 - 12*x + 1. What is the tens digit of j(k)? 3 Let m = -8 - -12. Let w(c) be the second derivative of -c**5/20 + c**4/2 - c**3/6 + c**2 + 2*c. What is the tens digit of w(m)? 3 Suppose -32*u + 29*u = -189. Suppose 2*z - 107 + 2 = -5*s, -5*z + u = 2*s. What is the tens digit of s? 1 Let t = -518 - -754. Suppose 281 = 11*z - t. What i
{ "pile_set_name": "DM Mathematics" }
plify 2 + -4 + (5 + sqrt(320) - (sqrt(5) + 2*sqrt(40)/sqrt(8)) - (-2 + 2 + 1 + sqrt(5) + ((sqrt(220)/sqrt(4))/sqrt(11))**2)). -3 + 4*sqrt(5) Simplify (5*(2*sqrt(76)*1 + 5*sqrt(76)*2))/(((sqrt(264)*-2)/sqrt(6))/(sqrt(176)*-5)). 600*sqrt(19) Simplify -1 + (0 + -1 + sqrt(147))**2 + -1 + -5 + -6*(sqrt(147)*-1)**2 + 3. -738 - 14*sqrt(3) Simplify 2 + (((sqrt(1300) - (-2 + 1*sqrt(1300))) + sqrt(1300))**2 - sqrt(1300)) + 3 + ((sqrt(1300)*-1*-4 + sqrt(1300) + -5)*4)**2. -7970*sqrt(13) + 521709 Simplify (1*(-2 + sqrt(176)*-5) - (-3*sqrt(66)*-1)/(sqrt(864) - sqrt(54)))**2. 244*sqrt(11)/3 + 40967/9 Simplify -3 + 4*(5*(sqrt(1862)*1 - sqrt(1862)))/(3*2*sqrt(288)). -3 Simplify ((sqrt(1539) + sqrt(1539) + 1 + 3 + 1)*-3)**2 - ((-2*sqrt(1539) + -1 + 2 + (sqrt(1539) + 0 - sqrt(1539)))*3)**2. 216 + 1944*sqrt(19) Simplify (sqrt(52) + sqrt(208))**2*-6*-4 + -3 - -4*(sqrt(104)/sqrt(128) - sqrt(13) - ((sqrt(156)*3)/sqrt(12))**2). -3*sqrt(13) + 10761 Simplify (-4 + (sqrt(1539) - (-1 + sqrt(1539))) - ((sqrt(1539) + 1 - sqrt(1539))*-5)**2 - (4*(sqrt(1539)*-2 - sqrt(1539)) - -2*(0 + sqrt(1539)))*-6) + -2. -540*sqrt(19) - 30 Simplify (1*(-2*sqrt(320)*-2 + 4) + (sqrt(320) + -2 + -3 - (sqrt(320) + -1 + sqrt(320) + -3)))**2. 144*sqrt(5) + 2889 Simplify (2*-1*sqrt(70)*-2*4)/(4*(sqrt(40)/sqrt(2))/sqrt(2)*3). 4*sqrt(7)/3 Simplify (-5 + (sqrt(10)/sqrt(45))**2)*5 - (-3*(sqrt(2) - sqrt(6)/sqrt(75) - sqrt(2)))**2*6. -6347/225 Simplify -2 + (-2*(sqrt(832) + 3) + sqrt(832) + 0)**2 + (-2*-1*(sqrt(832) - (sqrt(832) - -1*(sqrt(832) - (sqrt(832) + 3)))))**2. 96*sqrt(13) + 902 Simplify (sqrt(18)/(-2*sqrt(9)) + sqrt(2) - ((sqrt(242) + -1*sqrt(242))**2 + sqrt(242))) + 5 + (sqrt(8)/sqrt(4) + -2 - (sqrt(32) + 0)). -27*sqrt(2)/2 + 3 Simplify (sqrt(99)*1*-6*2*-4 + 3 + 4)*3. 21 + 432*sqrt(11) Simplify (sqrt(8)*-4 - (sqrt(2) - (sqrt(200) + 2*sqrt(200))) - (-4*sqrt(14)/sqrt(7) + -3)*-3)**2. -162*sqrt(2) + 243 Simplify (4*(2*4*sqrt(153))/(-6*sqrt(90)/sqrt(10)) + 2)**2. -64*sqrt(17)/3 + 4388/9 Simplify (-1*(((sqrt(143)*-2 - sqrt(143)) + sqrt(143))*2 - sqrt(143)*-1*5))/(4*(sqrt(99) + (sqrt(99) - (sqrt(99) + sqrt(99)*3)))*3). sqrt(13)/72 Simplify ((3*(1 + sqrt(171)) - sqrt(171) - (sqrt(171) + -1)*6) + -4 - 3*4*(sqrt(171) + 1 - sqrt(171))*5)**2. 1320*sqrt(19) + 5761 Simplify ((0 + sqrt(245) + (1 + sqrt(245))*1 - ((sqrt(245) + 1)*-5 + sqrt(245))*-2)*-1*-5)**2. 18900*sqrt(5) + 222525 Simplify (sqrt(75) + -3 + 0 + -3 + (sqrt(75) + (sqrt(75) - (2 + sqrt(75))))*-5 + (2*sqrt(75) + -5 - sqrt(75)))**2. 30*sqrt(3) + 676 Simplify -5*4*(sqrt(1584)*-1 + sqrt(1584) + sqrt(11))**2 + 1*(3 + sqrt(33)/sqrt(3) + -2). -219 + sqrt(11) Simplify 4*(3 + (sqrt(99) - sqrt(99)*-1)*2) + -3*1*sqrt(99)*-2 + -2 + 2. 12 + 66*sqrt(11) Simplify (3 + (sqrt(208)/(sqrt(324) + (sqrt(324) - -2*sqrt(324)) + sqrt(324) - sqrt(324)))/((-1*sqrt(112))/sqrt(7)))*-6. -18 + sqrt(13)/12 Simplify ((5*(sqrt(72) - (sqrt(72) - (sqrt(72)*2 + sqrt(72)))))/((2*sqrt(6) + sqrt(6))*-1))/(1*sqrt(6)*-1 + sqrt(30)/(-2*sqrt(5))). 10*sqrt(2)/3 Simplify ((sqrt(130) - -4*sqrt(130))/sqrt(10) - (-3 + 0 + sqrt(13)))**2*-6 - (2*(sqrt(117) - (sqrt(117)*2 - sqrt(117))) + sqrt(117))/(sqrt(324)*3). -1302 - 2593*sqrt(13)/18 Simplify -3*(6*sqrt(336)*2)/(sqrt(448)*-2)*2*-4. -72*sqrt(3) Simplify (4*sqrt(121)*-2 + sqrt(121) + (3*sqrt(121)*-1 - sqrt(121)))/(1*(sqrt(880)*6)/sqrt(5)). -11*sqrt(11)/24 Simplify (0 + ((sqrt(720)*1)/sqrt(10)*-5 - (-1*-1*sqrt(2) - (-4 + (sqrt(2) - (2 + sqrt(2)))))))**2 + -4. 372*sqrt(2) + 1954 Simplify ((sqrt(275)*2 + sqrt(11) + -3)*6 - (-1 + (sqrt(11)*2 + sqrt(11))*5 + 0))**2. -1734*sqrt(11) + 28900 Simplify -3 + ((2*sqrt(416) + sqrt(416))*4)/(2*(sqrt(162) - (1*sqrt(162) + sqrt(162)))). -8*sqrt(13)/3 - 3 Simplify ((2*sqrt(252)*3 + sqrt(252) - sqrt(252) - sqrt(252))/(-2*sqrt(175)))/(-6*(sqrt(1200) - sqrt(1200)*-1 - sqrt(1200))*-6). -sqrt(3)/720 Simplify (-3 + sqrt(8)*3*3 + 5 + (sqrt(98) + -4)*5 + sqrt(98))**2. -2160*sqrt(2) + 7524 Simplify sqrt(26)/(-4*sqrt(72))*-6 - ((sqrt(637))**2*2 + (sqrt(13) - 6*(2 + sqrt(13)))**2). -1743 - 479*sqrt(13)/4 Simplify 3*(sqrt(1210) - (sqrt(1210) + sqrt(1210) + sqrt(1210) + sqrt(1210) + (1*sqrt(1210) - sqrt(1210)))*-6)/((sqrt(12)*-4*-5)/sqrt(6)). 165*sqrt(5)/4 Simplify ((sqrt(21)/(sqrt(9)/sqrt(3)) + (sqrt(224)/sqrt(4))/sqrt(8) - (sqrt(700) - (-1 + (sqrt(700) - 2*sqrt(700))))) + (0 + 2*sqrt(14)/(sqrt(2)*-2))*2)**2. 40*sqrt(7) + 2801 Simplify ((((sqrt(3600) + (sqrt(3600)*-1 - sqrt(3600)) + sqrt(3600))/sqrt(12) - sqrt(30)/(-2*sqrt(490) - sqrt(490))) + -1)**2 + -5)*6*-6. 24*sqrt(3)/7 + 7044/49 Simplify -1*(5*(sqrt(147) - (sqrt(147)*1)**2) + sqrt(147) + sqrt(147)) + (sqrt(21) - sqrt(84)/sqrt(4))/sqrt(7) + sqrt(3) + sqrt(9)/(sqrt(15)/sqrt(5)). -47*sqrt(3) + 735 Simplify -3*(sqrt(6)/(sqrt(2) + (sqrt(2) - sqrt(32)))*3 + 3 - (sqrt(4356)*-2)/(1*sqrt(432) - sqrt(432) - sqrt(432)))**2. -1069/4 + 93*sqrt(3) Simplify (-6*(sqrt(225) - (sqrt(225) - -1*sqrt(225)*1)))/((3*sqrt(200)/sqrt(4))/sqrt(10)) + 3. 3 + 6*sqrt(5) Simplify 6*(sqrt(153)*2)**2*2 + -4 + ((sqrt(119)*2 - sqrt(119))*-1)/(-2*sqrt(1008) - sqrt(1008)). sqrt(17)/36 + 7340 Simplify 4 + -5 + sqrt(288) + -2 + 1*sqrt(22)/sqrt(11) + 4 + 2. 3 + 13*sqrt(2) Simplify -4 + 1*(sqrt(144) + sqrt(144)*-2*4)/(sqrt(3) + (sqrt(3) - sqrt(27)/(sqrt(9) - -1*sqrt(9) - sqrt(9)))) + 5. -28*sqrt(3) + 1 Simplify (-2*(2 + (sqrt(1008) - -4*(-1 + sqrt(1008))) - (-4 + sqrt(1008)*-1 - -4*sqrt(1008)*1)) + -1)**2. 480*sqrt(7) + 16153 Simplify 2 + (sqrt(1100) - (sqrt(1100) - (3 + sqrt(1100)*-1) - sqrt(1100))**2) + (sqrt(1100)*5*3)**2 + 5 + -1. 70*sqrt(11) + 246397 Simplify ((sqrt(14) - (3*sqrt(70))/sqrt(5))/sqrt(2))**2*1 + -2*sqrt(343)*-6*5. 28 + 420*sqrt(7) Simplify (((sqrt(130) - -3*-1*sqrt(130)) + (sqrt(130) + sqrt(130) + (sqrt(130) - sqrt(130)*-1))*4)/((sqrt(70)*1*-6)/sqrt(7)))**2*-6*-5. 6370/3 Simplify -1 + ((-1*(sqrt(11) + 1) + sqrt(1331)*2)*-5)**2 + (-4 + sqrt(1100)*1 + -3 + (4 + sqrt(1100)*-2 + sqrt(1100) - sqrt(1100)))**2. -990*sqrt(11) + 122408 Simplify (sqrt(140) + sqrt(140) + (sqrt(140) - sqrt(140)*-1) - ((sqrt(385)*3)/sqrt(11) - sqrt(35) - sqrt(35)))/(sqrt(28)/(sqrt(4) - 5*sqrt(64))). -133*sqrt(5) Simplify (-5*(sqrt(81)/sqrt(3) - sqrt(27)) - sqrt(135)/sqrt(5)*5)/((sqrt(81)*5 - (sqrt(9) - 6*sqrt(9)*2))*4). -5*sqrt(3)/104 Simplify 2 + sqrt(2) + -3 + sqrt(2) + 2 + sqrt(288) + 5 + 1*(-1 + sqrt(2)) + -5. 15*sqrt(2) Simplify (sqrt(20) + sqrt(20) + (sqrt(20) - -2*sqrt(2880)))/((sqrt(200)/sqrt(5) + sqrt(40))/sqrt(10)) - ((2*sqrt(180) + -1 + 1)**2 + -1). -719 + 27*sqrt(5)/2 Simplify -5*((4*sqrt(76)/sqrt(2))/sqrt(2)*5 + (-4*sqrt(95)*-2 + sqrt(95))/(sqrt(30)/(sqrt(6)*1)))**2. -79895 Simplify ((sqrt(2) - (sqrt(2) + 4*sqrt(20)/sqrt(10))) + (sqrt(14)*-4)/sqrt(7))**2 - (4 + -3*sqrt(2)*2*6). 36*sqrt(2) + 124 Simplify (sqrt(528)/sqrt(3) + 2 + -2 + -2*(sqrt(176) - sqrt(176)*-2)*-4)**2*-5. -550000 Simplify (sqrt(2880)*-2 - sqrt(2880) - (sqrt(45) + (-3*sqrt(720) - sqrt(45))))/((sqrt(576)*-6)/sqrt(4)). sqrt(5)/2 Simplify (((sqrt(192) + 0)*-1)**2 - (-1*sqrt(192) + 3)) + 1 + (4*-2*sqrt(15))/sqrt(5). 190 Simplify ((2 + sqrt(468)*-5 + sqrt(468) + sqrt(468) + 0)**2 - (6*(sqrt(468) + 2 + sqrt(468)) + 4)) + -5. -144*sqrt(13) + 4195 Simplify ((sqrt(33) + sqrt(363)/(sqrt(11) - sqrt(891)))*-3)/(5*((sqrt(704) - -1*sqrt(704)) + sqrt(704))). -7*sqrt(3)/320 Simplify -4 + (-2*(sqrt(112) - (0 + (sqrt(112) - (3 + sqrt(112)))) - (4 + sqrt(112) + -4))*2)**2 + 3. 143 Simplify -4*(3 + ((sqrt(1300) - (0 + sqrt(1300)))**2*-3*3 + -2)*-2 + -5). -8 Simplify (5*(sqrt(363) + -1 + -1) - (-1 + ((1*sqrt(60))/sqrt(2) + sqrt(30))/sqrt(10)))*-5. -265*sqrt(3) + 45 Simplify (-3 + -1 + (1*sqrt(11))**2 - (sqrt(99) + -1 + 1)**2) + (1*-2*sqrt(77) - sqrt(77))/(-4*sqrt(28)) + -4. -96 + 3*sqrt(11)/8 Simplify (5*(-3*sqrt(832) - sqrt(832) - sqrt(832)))/(-1*sqrt(484) - 5*sqrt(100)). 25*sqrt(13)/9 Simplify -3 + (-1*(sqrt(160)/sqrt(8) - (sqrt(55) + 2*sqrt(55))/sqrt(11)) - 4*(-5 + sqrt(45) + 1)). -11*sqrt(5) + 13 Simplify (5*2*sqrt(209)*2)/(sqrt(1584)*-1 + 6*sqrt(99))*3. 10*sqrt(19) Simplify 6*(-2*5*-2*sqrt(99))/(sqrt(81) + sqrt(81)*1 + 1*sqrt(9)*5)*-6. -720*sqrt(11)/11 Simplify (2*1*sqrt(64))/(sqrt(64)/(2*sqrt(8))) + (0 + (sqrt(162) + -1 + 0 + sqrt(162) - sqrt(162))**2)*-6. -978 + 116*sqrt(2) Simplify -5 + (-2*sqrt(832)*-3 + (sqrt(832) - (2 + sqrt(832))) + -1
{ "pile_set_name": "DM Mathematics" }
ded by v? 12 Let q be 2 - ((-3)/(-2))/((-3)/6). Suppose -2*m + q*o = 3 + 1, -5*m + 20 = -5*o. What is the remainder when 54 is divided by m? 6 Let h(n) = 2*n + 76. Let a(q) = -3*q - 153. Let g(k) = -3*a(k) - 5*h(k). Calculate the remainder when g(13) is divided by 34. 32 Let k(d) = -d**3 + 6*d**2 + 8*d + 8. Let q = 139 - 110. What is the remainder when q is divided by k(7)? 14 Suppose 356*p - 352*p = 100. Calculate the remainder when 222 is divided by p. 22 Let s be (10/30)/((-2)/(-42)). Let t(h) = 3*h**2 - 14*h - 17. What is the remainder when t(s) is divided by 9? 5 What is the remainder when (-3)/((-6)/4*(-10)/(-4855)) is divided by 12? 11 Let l = -13 + -28. Let b = l - -85. What is the remainder when b is divided by (-12 - 2)/(-1) - 2? 8 What is the remainder when -8 + (-6566)/(-13 - 1) is divided by 153? 2 What is the remainder when (-2 - -2) + 168 - (9 - 8) is divided by 54? 5 Let a be -2 + 180/8 - (-1)/2. Suppose 27 + a = 6*t. What is the remainder when 6*3*(-10)/(-6) is divided by t? 6 What is the remainder when (-36)/6*(82/(-12) + -1) is divided by 26? 21 Suppose -o + 94 = -a + 9, 3*a + 12 = 0. Calculate the remainder when o is divided by 63. 18 Let m = 55 + -94. Let x = m - -95. Calculate the remainder when x is divided by 58/((-8)/(-2) + 20 + -22). 27 Let c be (5/2)/((9/102)/3). Let g = c + -65. Calculate the remainder when g is divided by 8. 4 Calculate the remainder when 277 is divided by (-70)/7*1*-4. 37 Let i(o) = o**3 + 4*o**2 - 3*o + 1. Suppose 2*v + 39 = -3*z, 3*v = -2*z - 6 - 15. Let u = 20 - z. What is the remainder when u is divided by i(-3)? 16 Let d = 18 - -60. Calculate the remainder when d is divided by 44. 34 Suppose 3*i = 5*a - 131, -4*a - 23 = 3*i - 144. What is the remainder when 192 is divided by a? 24 Suppose -2*k + 549 = x, 2*x + 2211 = 8*k + 3*x. What is the remainder when k is divided by 57? 49 Let x be 0 + 2 - (-186 + 5). Let q = x - 127. Calculate the remainder when q is divided by 30. 26 Suppose -15*o + 1135 + 290 = 0. Let n = 3 + 3. Suppose -h - o = -n*h. What is the remainder when h is divided by 7? 5 Let u = -317 - -333. Calculate the remainder when 55 is divided by u. 7 Suppose 0 = g - 0*g - 8. Let z(l) be the third derivative of l**4/24 - l**3/2 + 7*l**2. Calculate the remainder when z(g) is divided by 2. 1 Suppose -8*s = -0*s - 440. Suppose -v + 12*b + 4 = 10*b, 5*v - 3*b - s = 0. What is the remainder when v is divided by 5? 4 Let n(y) = 26*y**2 - 2*y - 15. What is the remainder when n(-3) is divided by 78? 69 Let j(b) = -b + 62. Let l be j(0). Suppose -l = -6*w + 4*w. Calculate the remainder when 92 is divided by w. 30 Let r(s) = s**3 - 9*s**2 - 13*s + 13. Let a be r(10). Let t = 44 + a. What is the remainder when t is divided by 15? 12 Let j = 74 + -35. Let q = j + -25. Calculate the remainder when 55 is divided by q. 13 Let o = 171 - 95. Let r = 30 + -10. Calculate the remainder when o is divided by r. 16 Let r(v) = -v**3 - 2*v + 2. Let o be r(0). Suppose -5*s - o*p = -107, -3*p - 65 = -3*s - 4*p. Calculate the remainder when s is divided by 13. 10 Let b = 103 - 97. Calculate the remainder when 59 is divided by b. 5 Suppose -358 = 5*i - 1108. Calculate the remainder when i is divided by 52. 46 Suppose 0 = -2*o + 2 + 30. Suppose 4*m + o = -0*x + x, x - 3*m = 13. Let l = x - -2. Calculate the remainder when 9 is divided by l. 3 Let h(y) = 8*y**2 - 4*y - 7. Let m(d) = 9*d**2 - 3*d - 7. Let x(k) = 6*h(k) - 5*m(k). Calculate the remainder when x(7) is divided by 16. 13 Let n(z) = z**3 + 16*z**2 - 30*z - 28. What is the remainder when n(-17) is divided by 87? 19 Suppose 15 = 4*x + x. Let i = x + 11. Calculate the remainder when 726/i - (-2)/14 is divided by 27. 25 Suppose 144 + 72 = 4*z. Let x = 72 - 49. Suppose 3*l = -l - 4, -5*l = m - x. What is the remainder when z is divided by m? 26 Let k(w) = -w**2 - 6*w + 2. Let j(r) = -7*r + 3. Let u(d) = 6*j(d) - 7*k(d). What is the remainder when u(-2) is divided by 7? 4 Let d(z) = -z**3 - 19*z**2 - 7. Let s be d(-19). What is the remainder when (4356/231)/((-2)/s) is divided by 23? 20 Suppose 2*u - 4*u + 120 = 0. Suppose -5*q - 55 = -4*g, -7*g + 80 = -2*g + 5*q. Calculate the remainder when g is divided by 228/u - (-1 - 4/(-5)). 3 What is the remainder when 303 is divided by ((-2)/(-3))/(15*(-24)/(-4320))? 7 Let d = -23831 + 23845. Suppose 4 = -w - 2. Calculate the remainder when (-1 + 34/w)*-6 is divided by d. 12 Suppose 0 = 5*b - 5*t - 65, 0*t - 2*t - 62 = -4*b. Calculate the remainder when (-2)/(-12) + 1005/b is divided by 16. 8 Let h(j) = j**2 - j + 1. Let x(s) = 7*s**2 + 3*s + 12. Let k(c) = 6*h(c) - x(c). Suppose -46*v = -35*v + 66. What is the remainder when 34 is divided by k(v)? 10 Let f(o) = 2*o**2 - 9*o + 11. Let l be f(6). Let t = 34 - l. What is the remainder when 18 is divided by t? 3 Let b = -43 - -26. Let p = b - -35. Calculate the remainder when 34 is divided by p. 16 Suppose -5*t + 2*x + 1 = -99, 0 = -2*t - 2*x + 40. What is the remainder when 272 is divided by t? 12 Suppose 24 = 5*v - 36. Suppose 16*g - 1479 = -567. What is the remainder when g is divided by v? 9 Suppose 4*s + 131 = 2*l + 3*s, -5*s - 5 = 0. Let r = -53 + l. Calculate the remainder when 81 is divided by r. 9 Suppose 88 = 16*l - 12*l. Let f = 51 + -45. Calculate the remainder when l is divided by f. 4 Let o(f) = -f**3 - 31*f**2 - 142*f + 54. Let w = -9 - -15. Calculate the remainder when w is divided by o(-6). 0 Let b be (-1)/((-9)/(-30))*9. Calculate the remainder when -2*(-9)/117 - (-271)/13 is divided by 10/b*(-34 - -1). 10 Let m(d) = 26*d + 242. What is the remainder when m(-5) is divided by 69? 43 Suppose -3*w - 126 = 4*w. Let f = w - -23. Let u(n) = 3*n**2 - 8*n - 6. What is the remainder when u(f) is divided by 15? 14 Suppose -y - 42 = -8*y. Suppose -4*z = -y*z + 4. What is the remainder when ((-18)/4 + 2)*-2 is divided by z? 1 Calculate the remainder when 124 is divided by 330/(-40)*(0 + -8). 58 Suppose 29 - 3 = a - 5*f, 0 = -2*a + 4*f + 28. Let k(p) = -30*p**3 - 2*p**2 - 2*p - 1. Calculate the remainder when k(-1) is divided by a. 5 Let f = 391 + -271. Let b = -75 + f. Calculate the remainder when 133 is divided by b. 43 Suppose 141 = 7*t + 29. What is the remainder when t is divided by 4? 0 Let l be (6 + 2)*(-1)/2. Let h(p) = p**2 + p + 4. Calculate the remainder when (-748)/(-28) - l/14 is divided by h(-3). 7 Let g = -2 + 10. Calculate the remainder when 186 is divided by g. 2 Let c(n) = 23*n + 7. Let h be c(-3). Let l = h - -73. What is the remainder when 41 is divided by l? 8 Let m(a) = -a**3 + 11*a**2 + 22*a + 74. Calculate the remainder when 54 is divided by m(13). 10 Suppose 4*s - 98 = -3*x, s + 0*s = -4*x + 109. What is the remainder when 292 is divided by x? 6 Let c be 1/6*2 + 112/(-12). Let h(x) = x**2 - 29. What is the remainder when h(c) is divided by 18? 16 Calculate the remainder when (-6)/(72/(-2508)) + 5*-1 is divided by 32. 12 Let n(p) = -17*p + 103. Calculate the remainder when 31 is divided by n(5). 13 Let r(l) = 3*l**3 - 2*l**2 + l. Suppose -u - u = 10, -11 = -2*v + u. Calculate the remainder when r(2) is divided by v. 0 What is the remainder when -4 - 1 - -15*(-88)/(-24) is divided by 33? 17 Let l(q) = -q**3 - 3*q**2 + 2*q. Let t be 1/(-4) - (-13215)/60. Suppose -6*p - 4*p + t = 0. Calculate the remainder when p is divided by l(-4). 6 Suppose 0*p - 4*p = 0. Suppose m - 4*n - 9 = p, -5*m + 0*m - 3*n = -22. Calculate the remainder when 83 is divided by (-2 + m)*(0 + 7). 20 Suppose 0 = 3*k + b - 5*b - 172, -3*b - 114 = -2*k. Let d = -19 - -16. Let m(h) = h**2 - 7*h - 9. What is the remainder when k is divided by m(d)? 18 Suppose -3*k - 136 = -i, 4*k = 5*i + 6*k - 765. Calculate the remainder when i is divided by 19. 18 Calculate the remainder when 92/(-138) + 220/6 is divided by 15. 6 Suppose -3*g + 336 = -9*g. Let l = 72 + g. Calculate the remainder when ((-31)/3)/((-2)/6) is divided by l. 15 Suppose -2*q - 5*f + 24 = 0, 0*q + 3*q - 36 = 4*f. Suppose a = -5, -2*n - 5*a - 4 = -1. Calculate the remainder when q is divided by n. 1 Let x(v) = 7*v**2 + 13*v - 17 - 6*v**2 + 0*v**2. Let a be x(-14). What is the remainder when 20 is divided by (-2 - a)/(2/14)? 6 Suppose -3*i - 5*x = 133, 27*x - 22*x = i + 11. Let z be 1/(-4) + 26/8. Calculate the rema
{ "pile_set_name": "DM Mathematics" }
(389/30) Simplify (w**(-11)/(((w/w**(-18))/w)/w))/(w/(w/(w/(w*w*w**5))))**(5/7) assuming w is positive. w**(-166/7) Simplify (h**(-14))**(-11)*(h*h**(-4/11)/h)**(-6) assuming h is positive. h**(1718/11) Simplify ((z**(-2/5)/z)**(-3/4)/(((z*z*z*z*z**0*z)/z)/z)**(-46))**4 assuming z is positive. z**(2781/5) Simplify ((a*a*a*a*a**2)**(2/55)/(a**(2/3)/(a**(-4/9)*a)))**(-1/59) assuming a is positive. a**(-53/29205) Simplify (((r/r**(10/3))/r)/(r*r/(((r/r**(-33))/r)/r)))/((r*r/r**(2/7)*r)/(r*r**(4/13)/r)) assuming r is positive. r**(6623/273) Simplify (n*n**1)**(7/11)*n**10*(((n/(n/(n**(-8)/n)))/n)/n)/n*n assuming n is positive. n**(3/11) Simplify (s**(1/9)/(s**6*s*s))/(s**3/(((s/s**(-2/21))/s)/s)) assuming s is positive. s**(-743/63) Simplify (r/(r*r**(-3/4))*r)/(r**(4/3)*r)*((r/r**(-2/3))/r)**(-28) assuming r is positive. r**(-77/4) Simplify ((h**(-4))**(-3/35))**(-2/91) assuming h is positive. h**(-24/3185) Simplify q*q**(-10)*q*q*q**(-1)*(q*q**9)**(-10/13) assuming q is positive. q**(-204/13) Simplify (w**(1/2)*w**(-8))/(((((w*(w*w/(w*w/((w/w**(-5))/w)))/w)/w*w)/w*w)/w)/w**(-1/8)) assuming w is positive. w**(-93/8) Simplify (m*m**(-3/11))/m**(-1/2)*(m**1*m)/(m*m*m/m**(-10)) assuming m is positive. m**(-215/22) Simplify (x**(-4/7)/x)**(-24/7)*(x**(-7))**13 assuming x is positive. x**(-4195/49) Simplify (s/((s*s**(-9)/s)/s*s*s)*s**(-2/11)*s)/((s**8*s)/((s/(s**(-4/5)*s))/s)) assuming s is positive. s**(34/55) Simplify (y*(y*y*y**(-7)/y)/y)/y**(-3)*(y/y**(-9)*y)**(-2/65) assuming y is positive. y**(-217/65) Simplify ((f**(2/9)*f*f)/(f/f**(-10/9)))/(f*f**(2/49)*f*(f**9/f)/f) assuming f is positive. f**(-3938/441) Simplify ((f/f**(3/5))/(f/(f*f/((f*f*(f/(f**(-3/8)*f*f))/f)/f))))/(f**(2/27)/f)**(-3/10) assuming f is positive. f**(629/360) Simplify (s**(6/13)*s/((s/(s/(s/s**11)))/s))/(s**(-2/11)*s**(1/6)) assuming s is positive. s**(10705/858) Simplify ((v**0)**(-32)*v**(-2/9)*(v*v*v**(-2/25))/v)**(-8/11) assuming v is positive. v**(-1256/2475) Simplify ((a**(-1/4)*a)/a**4)/((a/(a/a**(-8)))/(a/(a/((a/(a*a/a**(1/8)))/a)*a)*a)) assuming a is positive. a**(23/8) Simplify (k*(k/(k*k*k**38*k))/k*k**16)**5 assuming k is positive. k**(-120) Simplify (p/(p/p**(2/7))*p/(p*p**(-14)/p))/((p*p**(-8)/p*p)/p)**(-7/11) assuming p is positive. p**(785/77) Simplify (r**(1/19))**(-3/4)/(r*r*r**10)**48 assuming r is positive. r**(-43779/76) Simplify (((d*(d/d**(2/9))/d)/d)/(d/(d**(6/11)*d))*(d/(d**(-3)/d)*d)**(-3/5))**(-2/33) assuming d is positive. d**(3244/16335) Simplify ((d**(5/2)/d)/(d/(d*(d*d/d**(-10)*d)/d*d)))/((d*d**(3/2))/d)**(-1/71) assuming d is positive. d**(1031/71) Simplify ((b*b/b**(-4))/b**4)**(16/7) assuming b is positive. b**(32/7) Simplify ((((j**(-6)*j)/j)/(j*(j**1*j)/j*j*j))/((j/(j*j/j**2*j)*j)/j)**(5/11))**(-45) assuming j is positive. j**450 Simplify (c/(c/(c/(c**15/c)))*c**1)/(((c**(-3/4)/c)/c)/(c/(c*c/((c/c**(-10/7)*c)/c)))) assuming c is positive. c**(-219/28) Simplify (k**16*k)/k**(1/9)*k**7*k*k**(-15) assuming k is positive. k**(89/9) Simplify s**(2/31)/s**(-1/8)*(s**(-2/39)/s)/(s*s/s**(-11/4)) assuming s is positive. s**(-54277/9672) Simplify (x**(2/47)/x)**(10/9)*(x**(-6/11)/x)/(x**(-11/4)/x) assuming x is positive. x**(2359/2068) Simplify o*o**(-1/23)*o**3*o*o**(2/41)*o*o/(o/(o/o**(-1))) assuming o is positive. o**(7549/943) Simplify ((c/((c/((c/c**(-2))/c))/c*c))/c**(-1/2)*(c/(c**(-1/3)*c))**(-2/19))**(14/13) assuming c is positive. c**(1967/741) Simplify ((q**(-13)/(q**(-5)/q))**28)**(2/5) assuming q is positive. q**(-392/5) Simplify (f**(-16))**5*((f/(f*(f*f**19)/f))/f)**(-28) assuming f is positive. f**480 Simplify (((i/i**(-1/23))/i)**33)**0 assuming i is positive. 1 Simplify (((r*r**(2/7)*r)/r)**(-2/33)*r/(r**(3/4)/r)*r/(r*r/(r**8*r)*r))**(-34/3) assuming r is positive. r**(-14263/154) Simplify (b**5)**(-27)*(b**(-2/13))**8 assuming b is positive. b**(-1771/13) Simplify (((a/(a/((a*a*a**(-12))/a*a))*a)/a*a)/a)**(-21)/(a/a**(2/69)*a*a**(2/5)*a) assuming a is positive. a**(71287/345) Simplify ((m/(m**(-9)/m))/((m*(m/m**(7/4))/m)/m))/(m**(-3))**15 assuming m is positive. m**(231/4) Simplify (l/l**(-8/11))/l**(26/7)*l**(2/9)/l**(2/39) assuming l is positive. l**(-16361/9009) Simplify (g/(g**(-2/17)/g)*(g*g**4*g)/g)/((g*g*g**(-11))/(g*g*g**17*g)) assuming g is positive. g**(614/17) Simplify ((((j*j*j**(1/3))/j)/j)/j*j/j**6*j**(-3)/(j/(j**0/j)))**(-2/11) assuming j is positive. j**(64/33) Simplify l**(-15)/l**(-11)*l/l**(2/9)*l*l/(l*l**(-2/5)*l*l) assuming l is positive. l**(-172/45) Simplify (d**(4/9)*d)**(2/3)/(d**(-17)/d*d**(-4/17)*d) assuming d is positive. d**(8353/459) Simplify ((z/z**22)/(z**(3/13)/z))**(-6/13) assuming z is positive. z**(1578/169) Simplify (f/(f*f/f**(-1))*f**(4/3)*(f/f**(-1))**(2/59))**1 assuming f is positive. f**(-106/177) Simplify (u/(u**(-15)/u)*u*u**6*u)/(u**2)**10 assuming u is positive. u**5 Simplify p*p*p**(-1/3)*p**(-1)*p**(-1/4)/p**(-1/2) assuming p is positive. p**(11/12) Simplify (((m/(m**(2/11)*m))**(2/69))**(-32/5))**(-3/4) assuming m is positive. m**(-32/1265) Simplify (d/(d/(d*(d*d**(-4/11)/d)/d))*d/(d*d**(-16)))**49 assuming d is positive. d**(8428/11) Simplify ((x/((x/(x**6/x))/x*x)*x*x)/(x/x**2))/((x**(3/2)*x)/x*x)**47 assuming x is positive. x**(-219/2) Simplify (r**(-2/5))**3/(r**(4/15)*r**18/r) assuming r is positive. r**(-277/15) Simplify (((t**(-3/4))**(-2))**(-4))**(-2/11) assuming t is positive. t**(12/11) Simplify (i**(1/9)/i**(-7))/(i**(-3)*i**(2/5)) assuming i is positive. i**(437/45) Simplify ((a**(-1/2)*a*a/(a*a**(-5/2)))/((a/(a*a/(a*a/(a*a/(a/a**4)*a))*a*a))/a*a/(a**(1/3)/a)))**(1/76) assuming a is positive. a**(7/57) Simplify ((u**1)**(-39)*u**8*u*u/(u**(1/7)*u))**(12/13) assuming u is positive. u**(-2532/91) Simplify (g**27/g**(-18))/(((g*g*g**2*g)/g*g)/(g/(g*(g*g/(g**(-12)/g*g))/g))) assuming g is positive. g**27 Simplify y*y/(y**(2/9)*y)*y*y**12/y*y**3*y**8 assuming y is positive. y**(214/9) Simplify (f/(f/(f**(-12)/f)))/(f/(((f*(f/f**(1/5))/f)/f)/f))*f**(-2/9)*f*f*((f/f**(-2/5))/f)/f*f*f*f assuming f is positive. f**(-496/45) Simplify (((o**(-3))**(12/19))**9)**(-44) assuming o is positive. o**(14256/19) Simplify ((w/w**(3/2))/(w/w**(-5/4)*w))/(((w**6/w)/w*w)/(w*w*w/(w/(w/w**(-5)*w)))) assuming w is positive. w**(1/4) Simplify (w**(1/2))**39/(((w/(w/(w/(w/w**(-11))*w)))/w)/(w**(1/12)*w)) assuming w is positive. w**(379/12) Simplify b**(-8)/b**2*b**(-2/83)/(b*b/((b/(b/b**(-8)))/b)) assuming b is positive. b**(-1745/83) Simplify ((s**(6/5)*s)/s**26)/((s/s**(3/5)*s*s)/(s/((s*s**7*s*s)/s*s*s))) assuming s is positive. s**(-181/5) Simplify (w**0)**(-2/67)*(w**6/w)/(w/(w*w**(-17))) assuming w is positive. w**(-12) Simplify ((y/(y**(-1/11)/y))/y**7)/((y/(y/(y/(y/((y/(y**(-1/3)*y))/y)*y*y))))/y)**50 assuming y is positive. y**(5888/33) Simplify (u*u*u**2)/u*(u*u**(-8))/u*u/(u*u*u**(-6))*((u/(u*u*(u**(3/4)/u)/u))/u)/u assuming u is positive. u**(-7/4) Simplify (w**23)**38/((w**18*w)/(w*w*w/w**(-2/19)*w*w)) assuming w is positive. w**(16342/19) Simplify ((t*t**0)**(1/3)/(t*(t*t*(t/(t**0*t))/t*t*t)/t)**31)**(-1/17) assuming t is positive. t**(278/51) Simplify (b/(b/b**10)*b**(-24))/((b/((b/(b/(b/b**(-3/10))))/b)*b*b)/b*b**24/b) assuming b is positive. b**(-387/10) Simplify (r**(1/2)/r)**(-48)/(r**16*r*r**(-5/9)) assuming r is positive. r**(68/9) Simplify t**32/t**34*(t*t**(-15/8))/t**13 assuming t is positive. t**(-127/8) Simplify (((u*u*(u/(u**(-1/15)*u)*u*u)/u*u)/u)/u*u**(-5/2)*(u**(-6)/u)/u**9)**30 assuming u is positive. u**(-493) Simplify (v*v**(-1/4)*v**(10/3))/(((v/(v*v/(v/((v*v**(-12)*v)/v))))/v)/((v*(v*v**(-3/10))/v*v)/v*v)) assuming v is positive. v**(-253/60) Simplify ((((k/(k/((k*k/k**(-1/2)*k*k)/k*k*k)*k))/k)**(-37))**46)**(-1/2) assuming k is positive. k**(5957/2) Simplify ((p**6*p**(-2/11)/p)/(p**(-1/8)*p**(-3)))**(12/5) assuming p is positive. p**(2097/110) Simplify (((o/(o/o**(-2/3)))**(-31))**28)**(2/9) assuming o is positive. o**(3472/27) Simplify (m*m**(-2/7)/m)/m**(2/13)*(m*m**(-9))/(m**11*m) assuming m is positive. m**(-1860/91) Simplify (((l/(l**(1/4)/l))/(l/((l/l**(1/8)*l)/l)))/((l*(l/(l*l**0*l))/l)/l**(-9)))**(-2/19) assuming l is positive. l**(51/76) Simplify (j*j*j**(-35))/j**(-3/4)*((j*j**(-3/19)/j)/j)/(j*j**(1/63)) assuming j is positive. j**(-164821/4788)
{ "pile_set_name": "DM Mathematics" }
l, -1, n in decreasing order. n, l, -1, -4 Let x(i) = i**3 + i - 1. Suppose 9*p = 11*p - 3*p. Let v be x(p). Sort 5, -5, v, 1 in decreasing order. 5, 1, v, -5 Let u = -4.6 - -38.6. Let w = u + -39.8. Let k = -12.2 + w. Put 3, k, 0 in increasing order. k, 0, 3 Let g(z) = -z**2 + 3*z - 3. Let x be g(2). Let c(o) = 15*o + 136. Suppose -4*w = 5*s + 33, s + 6*w + 21 = 10*w. Let j be c(s). Sort j, -5, x. -5, x, j Suppose 3*n = 3*u - 3, -29 = 5*n - 93*u + 96*u. Sort 0, -3, -35, n. -35, n, -3, 0 Suppose 14785 = 26*x - 23357. Let z = -1473 + x. Let g be (-1)/(-3)*(-1 + 0). Sort z, -3, g in decreasing order. g, -3, z Let m = -17225/8 + 2153. Suppose -2*s - a - 7 - 2 = 0, 3*s + 1 = a. Put -1/2, s, m, 10 in decreasing order. 10, m, -1/2, s Let p(v) = v**3 - v**2 - 4*v. Let m be p(-2). Let l be m*(4 - 57/12). Suppose -4*z + 3*q = 7, 0 = 4*z - 203*q + 201*q + 2. Sort -1, 0, z, l in descending order. l, z, 0, -1 Suppose -6*p = 73 - 97. Let n = -12 - -12. Suppose n = 10*i - 7*i. Put i, 32, p in ascending order. i, p, 32 Let n = -3651 - -3650. Sort -4, 3, 75, n in ascending order. -4, n, 3, 75 Suppose 11*r = 7*r + 32. Let v = -8 + r. Suppose l - 3 = v, y + 3*l = l + 9. Sort y, -9, -5. -9, -5, y Let j(w) = w**3 - 12*w**2 + 10*w + 11. Let q be j(11). Let h be (-1 - 0)/(-1 + q). Suppose 22 - 4 = -18*r. Put -5, h, r in ascending order. -5, r, h Suppose -6*y - 4*y = -40. Let l(o) = o - 1. Let q be l(1). Suppose -2*b = q, -3*b - 3 - 1 = v. Sort v, y, -12 in descending order. y, v, -12 Let y = -42561/112 - -10551/16. Let i = y + -279. Let p = 0.6 - 0.3. Sort i, -2, -0.4, p. -2, -0.4, p, i Suppose -14*h + 60 = h. Let m(c) = 3*c**2 - 6*c. Let p(q) = q**2. Let n(i) = -m(i) + 2*p(i). Let k be n(6). Sort -3, h, 3, k in ascending order. -3, k, 3, h Let v = -0.5 + 1. Let r = 0.328 + -20.028. Let y = r + 19.4. Sort v, -0.1, y in decreasing order. v, -0.1, y Let m = 224720/21 - 10701. Sort m, 1/167, -2/7. -2/7, m, 1/167 Suppose 6*p - 4*p = -2*n, -2*p = n. Suppose -4*k = 4*c - n*k, -k = 4. Suppose 5 = s + f - c*f, -s = -4*f - 8. Put 2, 1, s in descending order. 2, 1, s Let z = 3015 + -3017. Put z, 23, -6 in decreasing order. 23, z, -6 Let g = -482/7 + 69. Let z be (6/(-4))/((-12)/24). Let n be (-12)/63*z*7. Sort n, -0.3, g, 0.03 in decreasing order. g, 0.03, -0.3, n Let t(o) = -o**2 + 3*o + 4. Let s be t(3). Let d(r) = -r**3 - r**2 - r + 143. Let z be d(0). Let a be z/(-52) - (-6)/8. Sort s, -3, a in increasing order. -3, a, s Let l be -12*(-8 + 8 - 2/6). Suppose 0 = 2*u - 0*u - 42. Let v be (-133)/u - (-1)/3. Put v, 5, l in decreasing order. 5, l, v Let o = -72/49 - 243/49. Put o, -1/2, -1/3 in ascending order. o, -1/2, -1/3 Let c(r) = -6*r - 37. Let z be c(-6). Let d be ((-798)/(-190))/(z/5). Sort 4, d, -3 in descending order. 4, -3, d Suppose 99*t = 59 - 257. Let c = 1 + -0.6. Let u = 0.1 + c. Sort u, t, 1/6 in descending order. u, 1/6, t Let a be 62/(-403) + (-441)/(-585). Put -11, 0.1, 3, a in ascending order. -11, 0.1, a, 3 Let b be 35/5 + 2/(-1). Let q(y) = y. Let x be q(3). Put -7, x, -1, b in ascending order. -7, -1, x, b Let u(l) = 9*l**2 - 9*l + 24. Let t be u(4). Let b be (-3)/(-2) + (t/(-11) - -11). Sort 4, b, -4/3. -4/3, b, 4 Let c = -0.1 + 6.1. Let p = 7.76 + -13.56. Let l = c + p. Sort -0.5, l, 1. -0.5, l, 1 Let z = -10.15 - -10.16. Put 0.3, z, -126, 0.2 in ascending order. -126, z, 0.2, 0.3 Let h be ((-10)/2 - -2)*-1. Let x be ((-6)/(-21))/(378/(-1323)). Sort x, h, -5, -19 in descending order. h, x, -5, -19 Suppose -1535 = 19*q - 14*q. Let k = 302 + q. Sort k, -2, 2, -4. k, -4, -2, 2 Let b = -25641 + 25666. Put 0.12, b, -4, -1/2, -2 in descending order. b, 0.12, -1/2, -2, -4 Let i(w) be the third derivative of 7*w**5/60 + 14*w**3/3 + w**2 + 41*w. Let f be i(0). Put -4, f, 2 in decreasing order. f, 2, -4 Suppose 0 = -87*a + 785 + 259. Sort a, -3, 5, 0 in ascending order. -3, 0, 5, a Let w(k) = -3*k**3 + k**2 + 18*k + 18. Let b be w(-1). Let p = 0.1 - 0.2. Let f = p + 0.5. Sort -4, b, 3, f in decreasing order. b, 3, f, -4 Suppose 90*m - 86*m = -o - 20, -2*o + 2 = m. Sort -22, 55, o, -3 in increasing order. -22, -3, o, 55 Let w = -1899 + 5692/3. Sort w, -4, -2, 4, -8 in ascending order. -8, -4, -2, w, 4 Let l = -67.52 - -66.52. Put -2/551, -2/3, -2, l in ascending order. -2, l, -2/3, -2/551 Let o be (3 - (-50)/(-15)) + 0/1. Let q = 0.07 + -0.37. Let c = -915/11 + 83. Sort 0.5, o, q, c in ascending order. o, q, c, 0.5 Suppose 2*s - 2*i + 155 = -3*s, 0 = -4*i. Let m = 34 + s. Put -3, 8, 0, m in increasing order. -3, 0, m, 8 Let v be 1/(-4) - (-120)/(-32). Let r be 24 + 11 + (-12)/(-3). Suppose 10 = -3*j - 4*g, 5*g + r = 5*j + 9. Put -5, v, -2, j in descending order. j, -2, v, -5 Let p be (4/(-16))/(-4 - (-7)/2)*-8. Sort 1, -5, 7, -15, p. -15, -5, p, 1, 7 Let u be (0 - 0 - (-120)/585) + (-30)/45. Sort 4, 3/4, u, 1/49 in ascending order. u, 1/49, 3/4, 4 Let x(f) = -3 + 30 + 56 + 8*f + 45 + 14*f. Let q be x(-6). Sort q, 5, 6, -3 in ascending order. q, -3, 5, 6 Let v be 70*240/1512 - -1*2/(-18). Let m(c) = 4*c**2 - 5*c + 3. Let j be m(3). Suppose -3*d - 4*h + j = 0, h = 2*d - 2*h + 1. Sort -3, v, d in increasing order. -3, d, v Suppose 4*m - 23 + 15 = 4*n, -5 = n. Sort 2, -23, m, -54. -54, -23, m, 2 Let u = -12270 + 12266. Let d = 0.34 + -0.04. Put d, 0.4, u, 2/7 in decreasing order. 0.4, d, 2/7, u Let s = -797 - -806. Suppose -67*p + 58 = -s*p. Sort -1, p, -5, 95. -5, -1, p, 95 Let k be (8 - 68/8)*(-96)/88. Sort -0.041, 9/2, 5, k in ascending order. -0.041, k, 9/2, 5 Let t = -459593.4346 + 459538. Let o = t - -0.1346. Let r = o + 55. Put r, -0.5, -0.04, -5 in descending order. -0.04, r, -0.5, -5 Let y = 0.19 + -0.39. Let j = -34 + 39. Put y, 2, j, 0.2 in increasing order. y, 0.2, 2, j Let l = 41.05809 - 0.05809. Sort l, -4, 4 in decreasing order. l, 4, -4 Let r = -1.987 + 20.987. Put 6/5, r, 1 in descending order. r, 6/5, 1 Let a be 2/(-5) + (-616)/(-1540). Put 1, -70, -5, a, -3 in descending order. 1, a, -3, -5, -70 Let q be 3 + 25/(-10)*(-936)/65. Sort -0.5, q, -6/11 in descending order. q, -0.5, -6/11 Let r = -167 - -1501/9. Let o(d) = 4*d + 28. Let c be o(-12). Let f be ((-11)/(-22))/(2/c - 0). Put -9, f, r, 2/5 in increasing order. -9, f, r, 2/5 Let s be (3/(-2808))/((-2)/(-596)). Let q = s - -5/52. Let h = -285708.08 - -285708. Put -0.3, q, h in decreasing order. h, q, -0.3 Let s = 143 - 144. Let y be (-2)/(-8) - 4/16. Suppose 18*o - 1 = 17*o. Sort s, 4, o, y in ascending order. s, y, o, 4 Let x = -498 + 497.568. Let t = -0.532 - x. Suppose 8 = -2*m - 0*m. Sort -3/5, -2/5, m, t in ascending order. m, -3/5, -2/5, t Let j be 576/14 + 2/(-14)*1. Suppose -12*d = -j + 101. Suppose 3*n + 125 = -5*t, 3*t - 5*n + 80 = 5. Sort t, d, 3 in ascending order. t, d, 3 Let y = 3039 - 3039. Sort y, -9, 7, -4 in ascending order. -9, -4, y, 7 Let w = -11.4 + 12. Let y = 106.2 + -106.5. Let k be (-67)/(-402)*(0 + (-2)/1). Sort y, k, w. k, y, w Suppose -25*g = -4*g - 21. Sort g, -1, -3/5, 2/13, 4 in increasing order. -1, -3/5, 2/13, g, 4 Let q be 420/(-490)*(-14)/(-18) + (-10)/3. Put -1.4, 4, q, -2/23, 0 in descending order. 4, 0, -2/23, -1.4, q Let t = 0.21 + 148.79. Let z = -147 + t. Sort 9, z, 1/3 in descending order. 9, z, 1/3 Suppose 60 = 3*g - 30. Suppose 6*x - 60 = -g. Sort 4, x, 2, 0 in descending order. x, 4, 2, 0 Let p(u) = -u**2 - 7*u - 13. Let i be p(-10). Sort 25, 2, i in decreasing order. 25, 2, i Suppose -36 = -14*f + 20. Suppose -2*z + 4*p - 8 - 20 = 0, p + 47 = -f*z. Sort -0.2, 15, z, -1/6 in increasing order. z, -0.2, -1/6, 15 Let u = 55 + -39. Let i(t) = 5*t + 5. Let g be i(-2). Let n = -112 + 114. Put n, 0.4, g, u in ascending order. g, 0.4, n, u Suppose 2*x - 15 = 5*o - 3*x, 3*o + 5 = -x. Let n = o + 1. Let j be 1*(-42)/35*(-20)/6. Sort n, 0, j in decreasing order. j, 0, n Let n be ((-1)/8)/(3/4). Let o = 378 + -377.8. Let w(d) = -d**2 - 5*d + 180. Let h be w(11). Put h, n, 0.4, o in decreasing order. h, 0.4, o, n Suppose 12*j = -2645 + 2585. Put -45, 3, -1, j, -2 in descending order. 3, -1, -2, j, -45 Let d be ((-35)/2)/(1/14). Let m = 1711/7 + d. Let q = 22384 + -22383. Put m, q, 0 in decreasing order. q, 0, m Let u be 306*4/16*(-4)/(-6). Let i be ((u/12)/17)/((-2)/(-8)). Sort -5, i, -2 in descending order. i, -2, -5 Suppose -2 = 4*f - 6. Let b(u) = -19*
{ "pile_set_name": "DM Mathematics" }
) = -1105*u. Determine -6*b(g) + 289*c(g). -17*g Let k(d) be the second derivative of -d**4/12 - d**3/6 - 2*d. Let v(u) = 0*u**3 - u**2 + 3*u - 4*u + u**3. Calculate 2*k(x) - v(x). -x**3 - x**2 - x Let c(h) = 3*h - 5. Let q(p) = -3*p + 6. What is 6*c(b) + 5*q(b)? 3*b Let b = 68 + -61. Let i(g) = -10*g + 6. Let t(p) = -3*p + 8. Let y(a) = -a - 1. Let z(d) = t(d) + 4*y(d). Determine b*z(k) - 5*i(k). k - 2 Let i(o) = 11*o**2 - 3*o + 4. Let v be (-4)/10 + (-24)/(-10). Let c be v*(-2)/2 + -2. Let q(w) = -1 + 0*w**2 - 6*w**2 + 3*w - w - 1. What is c*i(z) - 7*q(z)? -2*z**2 - 2*z - 2 Let y(t) = 12*t**3 - 6*t**2 + 3*t + 3. Let p(f) = -f**2 + f + 1. Determine -3*p(z) + y(z). 12*z**3 - 3*z**2 Let v(s) = s**2 + 1. Let o(l) be the third derivative of -1/24*l**4 - 5*l**2 - 7/60*l**5 + 0 + 0*l - 2/3*l**3. Give o(t) + 6*v(t). -t**2 - t + 2 Let p(k) = -k**2 + 2*k - 5. Let o(q) = -3*q**2 + 6*q - 14. What is 6*o(t) - 17*p(t)? -t**2 + 2*t + 1 Let i(f) = f - 1. Suppose 11*o + 9*o - 120 = 0. Let t(j) be the first derivative of -7/2*j**2 + 1 + 6*j. Determine o*i(b) + t(b). -b Let a = -3 + -2. Let s(j) = -8*j**2. Let r(h) = -7*h**2. Give a*r(o) + 4*s(o). 3*o**2 Let m(a) be the first derivative of a**2 + 2*a - 6. Let s(t) = 1. What is m(p) - s(p)? 2*p + 1 Let m(u) be the second derivative of 5/2*u**2 + 0 + 4*u + 2/3*u**3. Let k(n) = n + 1. Determine 5*k(q) - m(q). q Let n(d) = 1. Let b(t) = -13*t - 1. Calculate -b(x) - 2*n(x). 13*x - 1 Let h(y) = 2*y**2. Let k(t) be the first derivative of -t**5/20 - 2*t**2 + 5. Let v(b) be the second derivative of k(b). Give -6*h(d) - 5*v(d). 3*d**2 Let a(s) = -s + 1. Let j(g) be the first derivative of g**5/60 - g**4/8 - g**3/3 - 2. Let v(l) be the third derivative of j(l). Calculate a(h) + v(h). h - 2 Let z(x) be the first derivative of -7*x**4/4 + 7*x**3/3 - 3*x**2 + 6*x - 5. Let m(u) = -15*u**3 + 15*u**2 - 13*u + 13. What is 6*m(h) - 13*z(h)? h**3 - h**2 Let r(j) = 2175*j**3 - 203. Let w(y) = -32*y**3 + 3. Give 3*r(x) + 203*w(x). 29*x**3 Suppose 5*c = 4 + 6. Let b(p) = 3*p**3 - p**2 - 2*p. Let q(h) be the first derivative of -7*h**4/4 + 2*h**3/3 + 5*h**2/2 - 5. What is c*q(o) + 5*b(o)? o**3 - o**2 Let v(l) = 5*l**3 + 8*l**2 - 8*l - 12. Let f(r) = -2*r**3 - 3*r**2 + 3*r + 4. Calculate 8*f(c) + 3*v(c). -c**3 - 4 Let g(h) = 9*h**2 - 6*h - 6. Let s(d) = -2*d**2 - 25*d + 12. Let f be s(-13). Let b(r) = -r**2 + r + 1. Determine f*g(l) - 6*b(l). -3*l**2 Let i = 58 - 60. Let o(h) = h**2 - 9*h. Let v(x) = -6*x + 4. Let k(m) = -m + 1. Let p(l) = 4*k(l) - v(l). Determine i*o(u) - 9*p(u). -2*u**2 Let b(v) = -v**3 + v**2 + v + 1. Let h(c) = c**2 - 2*c + 7. Let x(z) = -2*z**2 + 3*z - 12. Let f(o) = -5*h(o) - 3*x(o). Determine -b(g) + f(g). g**3 Let h(t) = t - 9. Let g be h(6). Let x(n) = -6*n - 3. Let d(c) = 2*c + 2. Let s(b) = 3*b + 2. Let f(w) = -2*d(w) + 3*s(w). What is g*x(q) - 4*f(q)? -2*q + 1 Let g(z) = 10*z**2 + z + 3. Let x(l) = -l**2 - 1. What is -2*g(b) - 6*x(b)? -14*b**2 - 2*b Let m(w) = 3*w + 6. Let u be m(0). Let a(n) = -5*n + 2. Let z(y) = -4*y + 2. Give u*z(f) - 5*a(f). f + 2 Let g be -2 + 2 - (-1 - 1). Let h(y) = y + 1. Let x = -5 + 5. Let i(l) = 6*l + x*l - 2*l + 2. Determine g*h(j) - i(j). -2*j Let c(j) = -4*j**3 - 4*j**2 + 4*j - 1. Let w(i) = 5*i**3 + 3*i**2 - 3*i + 1. Determine 3*c(g) + 4*w(g). 8*g**3 + 1 Let x(j) = 13*j**2 + 9*j. Let m(b) = 6*b**2 + 4*b. Let k = -3 + 7. Suppose 42 = k*s - 3*a, -2*a = s - a - 7. Give s*m(f) - 4*x(f). 2*f**2 Let v(j) = -j**3 - j. Let c(s) = 6*s**3 + 5*s. Determine c(b) + 5*v(b). b**3 Let u(m) = m**3 - m**2 + 7*m + 6. Suppose 0 = -2*n - n + 33. Let a(t) = 2*t**3 - 2*t**2 + 13*t + 11. Determine n*u(w) - 6*a(w). -w**3 + w**2 - w Let p(t) be the third derivative of 1/12*t**4 + 1/3*t**3 + 0 + 0*t - 6*t**2 - 1/30*t**5. Let o(u) = -u**2 + u + 1. Determine 3*o(j) - p(j). -j**2 + j + 1 Let m(q) = q**2 + q. Let x(p) = -23*p**2 + 4*p. Give 6*m(u) - x(u). 29*u**2 + 2*u Let b(t) = -t**3 + 1. Let l(k) = -3*k**3 + 4. Calculate 9*b(h) - 2*l(h). -3*h**3 + 1 Let n(q) = -9*q - 5. Let u(r) = 5*r + 3. Let d(g) = -3*n(g) - 5*u(g). Suppose -6*s = -2*s - 24. Let y(o) = o. Calculate s*d(m) - 11*y(m). m Let o be ((-4 + 3)*-1)/(2 - 1). Let p(j) = -2*j**2 + 3*j - 3. Let k(f) = f**2 + f - 1. Determine o*p(r) - 3*k(r). -5*r**2 Let t(k) = k**2 - k - 1. Suppose -5*y + 3 = -4*y. Suppose -2*d + 5*x = -0*x - 7, 3*d - 4*x = 7. Let a(z) = -4*z**2 + 3*z + 3. Determine d*a(o) + y*t(o). -o**2 Let l(n) = n**3 - 2*n**2 + 5*n + 1. Let z(h) = -h**3 + 3*h**2 - 6*h - 2. Calculate -3*l(p) - 2*z(p). -p**3 - 3*p + 1 Let c(g) = -7*g**3 - 3*g**2 - 1. Let r(o) = o**2 + 1. Calculate c(m) + r(m). -7*m**3 - 2*m**2 Let i be 10*(-2 - 15/(-6)). Let o(p) = -2*p - 4. Let g be o(-4). Let c(m) = -5*m + 2*m + g*m. Let v(t) = t. What is i*v(n) - 4*c(n)? n Let c be 1/2*4/1. Let o(h) = -c + 4*h + 2*h**3 + 5*h**2 + 0*h**2 - 2*h**2. Let f(d) = -d**2 - d + 1. Give 3*f(l) + o(l). 2*l**3 + l + 1 Let h(n) = 24*n - 36. Let q(s) = -s + 1. Determine h(o) + 36*q(o). -12*o Let q(k) be the first derivative of -2*k**3/3 + 5*k**2/2 - 4*k + 8. Let x(h) = -h**2 + 4*h - 3. Calculate 3*q(a) - 4*x(a). -2*a**2 - a Let i(r) = 9*r - 4. Let o(k) = 10*k - 3. Calculate -2*i(d) + 3*o(d). 12*d - 1 Let f(d) = 6*d**3 - 3*d. Let j(l) = 13*l**3 - 7*l. Let k(a) = -7*f(a) + 3*j(a). Let n = 82 + -92. Let o(x) = x**3. What is n*o(t) - 4*k(t)? 2*t**3 Let i(b) = 7*b**2 - 9*b**3 + 0 - 6*b - b - 7 + 0. Suppose 3*r - 22 = -p, -2*r - 3*r - 3*p + 38 = 0. Let l(o) = 5*o**3 - 4*o**2 + 4*o + 4. Give r*l(t) + 4*i(t). -t**3 Let t(a) = 3*a - 1. Let i(f) = -f. Let o be ((-15)/5 - -2) + -3. Give o*i(r) - 2*t(r). -2*r + 2 Let i = 24 + -27. Let b(l) = -2*l**2 + 3*l - 1. Let w(x) = x**2 - 2*x + 1. Calculate i*w(g) - 2*b(g). g**2 - 1 Let h(s) = -s**2 - s - 1. Let z(b) = 0*b - 3*b**2 - 2*b + 0 - 4*b - 8. What is -6*h(n) + z(n)? 3*n**2 - 2 Let l(b) be the second derivative of 13*b**5/20 + 5*b**4/12 - 5*b**3/6 - 5*b**2/2 + 2*b. Let v(m) = 6*m**3 + 2*m**2 - 2*m - 2. Determine -2*l(k) + 5*v(k). 4*k**3 Let h(t) = 4*t - 2. Let x be 6*((-10)/4)/(-5). Let j(n) = -3*n + x*n - 7*n + 3. Suppose 0 = -8*v + 7*v - 5. What is v*h(u) - 3*j(u)? u + 1 Let i(u) = -2*u**2 - u**2 - 6*u + 4*u**2 + 2 + 4*u**2. Let c(r) = r**2 - r. What is -6*c(j) + i(j)? -j**2 + 2 Let z be ((-1)/(-3))/(2/6). Let d = 3 - 1. Let i(x) = 3*x. Let f(n) = 2*n - 3*n + 0*n. Give d*f(m) + z*i(m). m Let b(w) be the third derivative of 7*w**4/24 - 7*w**3/6 + 8*w**2. Let q(v) = 3*v - 3. What is -4*b(g) + 9*q(g)? -g + 1 Let a(q) = 2*q + 1. Let g(f) = 3*f + 2. Give -4*a(y) + 3*g(y). y + 2 Suppose 0*p + 5*y - 26 = -3*p, -y + 2 = -p. Suppose p*o - 3 = 1. Let d(i) = i**2 + i. Suppose -30 = -6*u + u. Let m(n) = -2*n**2 - 4*n. What is o*m(c) + u*d(c)? 2*c**2 - 2*c Let l(m) = -2*m**2 - 2*m. Let a(v) = 2*v**2 + 2*v. Let o = 114 - 108. Calculate o*a(p) + 7*l(p). -2*p**2 - 2*p Let x(z) = 2*z**3 + 3*z**2 + 4*z + 9. Let f(t) = 2*t**3 + 2*t**2 + 3*t + 10. What is -3*f(d) + 2*x(d)? -2*d**3 - d - 12 Let j(q) = -q - 1. Let c(l) = l + l**2 + 1 + 1 + 2*l + 0*l. What is c(z) + 3*j(z)? z**2 - 1 Let f(m) = 5*m + 4. Suppose 14*k = 6 + 36. Let n(r) = -4*r - 3. Determine k*f(u) + 4*n(u). -u Let i(o) = o**2 - o + 1. Let g(r) = 7*r**2 - 3*r - 8. What is g(j) - 5*i(j)? 2*j**2 + 2*j - 13 Let t(m) = 5*m + 2. Let q(o) = 4*o**2 + 1. Let w be q(-1). Let f(x) = 10*x + 5. What is w*t(a) - 2*f(a)? 5*a Let k(f) = 5*f. Let x(r) = -18*r. Let c(s) = 7*k(s) + 2*x(s). Let q(d) be the first derivative of -d**2/2 + 1. Calculate 2*c(p) + q(p). -3*p Let r(v) = 4*v**2 - 12*v - 1. Let o(i) = 9*i**2 - 25*i - 2. What is -6*o(y) + 13*r(y)? -2*y**2 - 6*y - 1 Let x(f) = 9*f**2 - 3*f. Let v(p) = 5*p**2 - 2*p. Give -5*v(w) + 3*x(w). 2*w**2 + w Let z(j) = 10*j + 4. Let b = 85 + -81. Let l(k) = -k - 1. Determine b*l(g) + z(g). 6*g Let n(o) = 5*o - 4. Suppose -2*i = -4 - 0. Suppose h + i = 7. Let y(b) = -9*b + 7. What is h*n(z) + 3*y(z)? -2*z + 1 Let h(c) = -3*c + 17. Let f be (7/14)/(1/10). Suppose f*j = 18 + 12. Let k(l) = -j - 4*l + 4*l + l. Calculate -6*h(y) - 17*k(y). y Let x(v) = 3*v - 1. Let s(k) = -k. What is -4*s(f) - x(f)? f + 1 Let p(x) = 9*x - 4. Let d(v) = 22*v - 10. Let y(t) = -t**2 - 6*t + 2. Let a be y(-7). Determine a*d(f) + 12*p(f). -2*f + 2 Let h(k) = 2*k - 3. Let m = 46 + -32. Suppose 5*r + 16
{ "pile_set_name": "DM Mathematics" }
e of v(p). What is the third derivative of n(b) wrt b? 96*b Let s(a) = 12*a**2 - 2*a + 1. Let j be s(1). What is the second derivative of b - j - 10*b**2 + 11 wrt b? -20 Let r be 436/(-6)*(-15)/10. What is the third derivative of -r*i**2 + 5*i**5 + i**5 + 114*i**2 wrt i? 360*i**2 Let f(q) = q**3 - 4*q**2 + q + 3. Let g be f(3). Let h = 14 - g. What is the third derivative of 7*m**3 - h*m**3 + 8*m**3 + 5*m**2 wrt m? -12 What is the derivative of 2 - 125*c - 104 + 103*c - 67 + 176*c wrt c? 154 Let h = 42 - 38. Find the second derivative of 0*z**2 - 186*z + 174*z - z**2 + 8*z**h - z**2 wrt z. 96*z**2 - 4 What is the second derivative of 154*a**3 - 97*a + 49*a + 45*a wrt a? 924*a Find the first derivative of 188*z + 73 + 33 + 135 wrt z. 188 Suppose 3*c + 555 = 564. Let o(u) be the second derivative of -1/3*u**4 + 0*u**2 + 0 - 1/2*u**c + 4*u. What is the second derivative of o(l) wrt l? -8 Let u(c) = 143*c**2 + 138. Let l(d) = d**2 + 1. Let b(r) = l(r) - u(r). What is the first derivative of b(g) wrt g? -284*g Let u(r) = 1. Let z(f) = 215*f**4 + 2*f**2 - 11*f - 29. Let b(k) = -2*u(k) + z(k). What is the second derivative of b(w) wrt w? 2580*w**2 + 4 Let s(a) be the second derivative of -a**9/168 + 7*a**5/30 + a**2 - 3*a. Let l(j) be the first derivative of s(j). Find the third derivative of l(p) wrt p. -360*p**3 Let x be (-4)/((117/6)/(-13)). Let p(n) be the first derivative of -9 + x*n**3 + 0*n + 0*n**2 + 5/4*n**4. Find the third derivative of p(q) wrt q. 30 Let r be (-21)/14*(106/(-6) + 1). What is the third derivative of -r*b**5 - 4*b**2 + 42*b**5 - 19*b**2 wrt b? 1020*b**2 Let i(n) = 419*n**3 + 363*n**2 + 2. Let h(v) = 1676*v**3 + 1451*v**2 + 9. Let l(g) = 2*h(g) - 9*i(g). Find the third derivative of l(j) wrt j. -2514 Find the third derivative of -2*s**3 - 126*s**3 - 11*s - 24*s**3 - 8*s**2 wrt s. -912 What is the second derivative of -36*k - 263*k**4 + 307*k**4 - 178*k**4 wrt k? -1608*k**2 Let r(a) = -4*a**2 - 1. Let j(i) = -3*i**2. Let x(s) = -7*j(s) + 3*r(s). What is the first derivative of x(b) wrt b? 18*b What is the third derivative of 2 - 2*o**5 + 13*o**2 - 1134*o**3 - 2*o**4 + 1134*o**3 + 9*o**5 wrt o? 420*o**2 - 48*o Let q(m) = -3*m - 8. Let a(x) = x. Let k(n) = 4*a(n) + q(n). Let z be k(11). Differentiate -o - z + 4 + 7*o wrt o. 6 Let n(t) = 2*t**2 - 56*t - 249. Let u(p) = -6*p**2 + 111*p + 499. Let k(j) = 5*n(j) + 2*u(j). What is the derivative of k(l) wrt l? -4*l - 58 Let d = 25 + -13. Let l be 4/d*15 + -3. Find the first derivative of -106*c**l + 2 + 117*c**2 - 1 wrt c. 22*c Let j(t) = t**2 + t. Suppose 6*y - 13*y - 21 = 0. Let q(u) = 5*u**2 - 7*u. Let n(g) = y*j(g) + q(g). Find the second derivative of n(d) wrt d. 4 Suppose -27*p + 23*p = 0. Let n(j) be the first derivative of 0*j**4 + j**2 + 0*j - 5 + 6/5*j**5 + p*j**3. Find the second derivative of n(b) wrt b. 72*b**2 Let v = 16 + -14. Suppose -3*z = 3*c - 6, -z + v = 3*c - 7*c. Find the third derivative of 15*h**6 + 18*h**6 - 41*h**6 - 3*h**z wrt h. -960*h**3 Let a(c) be the second derivative of -17*c + 5*c**2 + c**3 - 12*c + 6*c**2 + 3*c**2. What is the first derivative of a(h) wrt h? 6 Let x = -28 + 32. Find the second derivative of x*h**4 - 7*h + 15*h + 6*h**4 wrt h. 120*h**2 Let a(n) = -n**2 + 4*n + 1. Let q be a(3). Suppose 14 = v + q*j, 2 = -j + 2*j. What is the third derivative of -9*b**v - 2*b**2 - 3*b**2 - 2*b**6 wrt b? -1320*b**3 Let f(r) = -3*r**2 + 9*r + 2. Let q be f(10). Let g be (-37)/(-13) - 32/q. Find the first derivative of 6 - 116*t + 116*t - 4*t**g wrt t. -12*t**2 Let p(o) = -19*o**3 - 22*o**2 - 2*o - 141. Let j(h) = -20*h**3 - 19*h**2 - 2*h - 143. Let f(x) = 7*j(x) - 6*p(x). What is the second derivative of f(z) wrt z? -156*z - 2 Suppose -4*q = -16, -5*l + 4 = -2*q + 2. Find the third derivative of -6*x**2 - x**4 - 9*x**4 + 0*x**l wrt x. -240*x Let l(c) = -577*c**4 - 2*c**3 + 5*c - 14. Let g(u) = 5*u**4 - u**3 + u - 2. Let d(f) = -2*g(f) + l(f). What is the second derivative of d(b) wrt b? -7044*b**2 Let v(i) = 14*i**4 + 6*i**3 - 8*i**2 + 17*i + 18. Let l(t) = t**4 + t**3 - t**2 + t + 3. Let j(u) = -6*l(u) + v(u). Find the second derivative of j(y) wrt y. 96*y**2 - 4 Let p = -4 + 6. Let n(q) be the first derivative of -5/4*q**4 + 0*q**p - 4 + 0*q + 4/3*q**3. What is the third derivative of n(d) wrt d? -30 Let m(j) = -j**3 + j**2 + j - 1. Let k(c) = -88*c**3 + 5*c**2 + 5*c - 3. Let n(l) = -k(l) + 5*m(l). What is the derivative of n(g) wrt g? 249*g**2 Suppose 6*w + 0*w = 24. Let v be (-5)/(-3) + 3/9. Differentiate -2*u**2 - v + 5*u**2 + w*u**2 - 3*u**2 with respect to u. 8*u Let f = -15 + 43. Let t be (4/14)/(2/f). Differentiate -2 + t + 0 - 12*l wrt l. -12 Let v(c) = c**3 + c**2 - c + 4. Let b(u) = -260*u**3 + 38*u**2 + 22*u - 88. Let o(q) = 2*b(q) + 44*v(q). Find the third derivative of o(s) wrt s. -2856 Let c(k) = -k**2 + 2*k + 1. Let m(p) = -113*p**2 + 18*p + 4. Let z(h) = -4*c(h) - m(h). Find the second derivative of z(l) wrt l. 234 What is the second derivative of 22*q**3 - 3617*q**5 + 3622*q**5 + 29*q + 270*q wrt q? 100*q**3 + 132*q Let u(k) be the second derivative of 4*k + 0*k**3 + 0*k**5 + 0*k**4 + 1/10*k**6 + 0 + 5/2*k**2. Find the first derivative of u(s) wrt s. 12*s**3 Let n(u) = 0 + 5*u - u**2 - 5 - 15*u. Let q be n(-9). Find the first derivative of 2 + 8*i**4 - 10*i**q + 6*i**4 wrt i. 16*i**3 Suppose 4*i + i - 3*m - 67 = 0, 4*i + 4*m - 28 = 0. What is the first derivative of 16*y**2 - 11 + i*y**2 - 21*y**2 wrt y? 12*y Let i be 6/(-8) - (-2115)/36. What is the second derivative of 111*s - 38*s**2 - 55*s - i*s wrt s? -76 Let q = 17 - 19. Let m(f) = 41*f**4 + 59*f**2 + 11. Let h(n) = 8*n**4 + 12*n**2 + 2. Let i(l) = q*m(l) + 11*h(l). What is the third derivative of i(j) wrt j? 144*j Let u(a) be the third derivative of -23*a**5/15 + 61*a**4/12 - 66*a**2. Find the second derivative of u(x) wrt x. -184 Let m(g) = -g - 15. Let d be m(-17). Let p(a) be the first derivative of -1 + 0*a + d*a**3 + 5/2*a**2. Find the second derivative of p(u) wrt u. 12 Let j(d) be the second derivative of d**8/80 - 3*d**5/20 + 7*d**3/2 - 17*d. Let i(g) be the second derivative of j(g). Find the second derivative of i(m) wrt m. 252*m**2 Suppose -18*t - 80 = -13*t. Let h be (-141)/2*t/24. What is the third derivative of -h*f**4 + 47*f**4 - 10*f**6 + 3*f**2 wrt f? -1200*f**3 Let d(j) = 3*j**2 - 3*j - 6. Let u be d(5). What is the third derivative of 4*m**3 - 27*m**2 + 0*m**3 + u*m**2 wrt m? 24 Let a be 43/9 + (-4)/(-18). Find the second derivative of 17*g + 0*g**a - 3*g**5 - 4*g**5 wrt g. -140*g**3 Let k(b) be the second derivative of -8*b**6/5 + b**3/3 - 94*b**2 + 92*b. What is the first derivative of k(r) wrt r? -192*r**3 + 2 Let w be (-3)/2*(1 + -3). Suppose -5*c = 3*d - 32, w = 3*c - 9. What is the second derivative of 2*r**d + 5*r**4 + 14*r - 4*r wrt r? 84*r**2 Let r = 15 - 16. Let p be r*(8/(-4) + 0). Differentiate -4 + 8 - 4*m**3 - 3 + p*m**3 wrt m. -6*m**2 Let t be (-3)/(-1) + 2/(-6 + 8). Let u(o) be the second derivative of -o**3 + 0*o**2 + 2*o + 0 - 1/6*o**t. What is the second derivative of u(k) wrt k? -4 Let a(j) = -4*j**4 + 49*j**3 + 3*j**2 + 63. Let q(x) = -5*x**4 + 50*x**3 + 4*x**2 + 63. Let f(p) = -4*a(p) + 3*q(p). Differentiate f(c) wrt c. 4*c**3 - 138*c**2 Let l = -100 - -117. Find the second derivative of -l + 17*u - 2*u + 3*u**5 + 17 wrt u. 60*u**3 Let b = 17 + -13. Suppose -b*x + 390 + 470 = 0. Find the second derivative of 5*h**5 - x + 215 + 4*h + 2*h**5 wrt h. 140*h**3 Let k(n) be the second derivative of 0*n**2 + 0*n**6 + 0*n**5 + 0*n**3 + 0*n**7 + 22*n + 3/4*n**8 - 3/4*n**4 + 0. What is the third derivative of k(m) wrt m? 5040*m**3 What is the second derivative of -27 - 33 + 140*b**4 + 60 - 78*b wrt b? 1680*b**2 Let k(w) = w**3 - 2*w**2 - 4*w - 7. Let n be k(4). Find the third derivative of 3*p**2 + 9*p**3 + n*p**2 - p**2 + 0*p**3 wrt p. 54 Let k(j) = 49*j**4 - 3*j**3 + 8*j - 5. Let v(i) = -97*i**4 + 5*i**3 - 15*i + 11. Let a(h) = 5*k(h) + 3*v(h). Find the second derivative of a(l) wrt l. -552*l**2 Let c(z) = -112*z**2 + 65*z + 172. Let v(x) = 13*x. Let u(r) = -2*c(r) + 10*v(r). Differentiate u(s) wrt s. 448*s Let a(z) be the third derivative of -51*z**7/70 + 3*z**5/10 + z**4/6 + 58*z**2. What is the third derivative of a(k) wrt k? -3672*k Let
{ "pile_set_name": "DM Mathematics" }
s and give g. -32 Express 365*u - 364*u + 0 + 6 + 4801*u**2 - 4 + 849*u**2 in the form f*u + q + j*u**2 and give q. 2 Rearrange -8 - 98 + 65*p + 16 - 2 - 15*p to w*p + k and give k. -92 Express 573*z**3 + 2*z**2 + 7 - 509*z**3 + z - 2*z**2 in the form c*z**3 + g*z + u + b*z**2 and give g. 1 Rearrange (3 + 2 - 6 + (-1 + 1 - 2)*(105 + 86 - 62))*(0*o + 0*o + 2*o**2) to the form t*o**2 + w + p*o and give t. -518 Rearrange -89*p**2 - 1 - 2*p - 34*p**2 + 3*p**3 - 11*p**4 + 124*p**2 to the form j*p**4 + f + v*p + d*p**3 + o*p**2 and give o. 1 Rearrange -77343 - 11*p + 77331 + p**4 - 7*p**2 + 13*p - p**3 to z*p + c + g*p**2 + t*p**4 + l*p**3 and give z. 2 Express 192*w + 17*w**3 - 48*w**2 + 21*w**2 + 25*w**2 - 193*w in the form n*w**2 + o*w + y*w**3 + p and give y. 17 Rearrange (-3*r**4 + 0*r**4 + r**4)*(-609108 + 1213720 - 609666) to h*r**2 + s*r**4 + g*r + b + k*r**3 and give g. 0 Express -6 + 0 + 4*j - 6*j**2 + 0 - 32*j**2 - 2*j**2 in the form u*j + y*j**2 + z and give z. -6 Express (-3416 + 9691 - 12434 - 20825 + 6300 - 24940)*(-2 + 2 - 7*t) as w*t + m and give m. 0 Express (4 + 3 - 1)*(6*f - 5*f + 5*f) + 4 - 4 - 5*f - 3 - 4*f + 3 as p*f + h and give p. 27 Rearrange 5853*s + 6891*s - 4342*s to i + b*s and give b. 8402 Rearrange (-1 + 191*l - 187*l + 2)*(-28 - 239 - 7) to s*l + z and give s. -1096 Express (-12923*u**2 + 25398*u**2 - 14276*u**2)*(11*u + 3*u - 6*u)*(3*u + 2*u - 2*u) in the form y*u**4 + k + o*u**2 + b*u + m*u**3 and give k. 0 Rearrange -849*r**4 - 29*r - 1 - 2*r**2 - 1 - 2*r - r + 30*r to the form l*r**3 + k*r**4 + h + a*r**2 + j*r and give h. -2 Rearrange -46 - 4*r**2 + 2678 + r**2 - 2*r**2 + 3*r**2 to the form z*r + s + i*r**2 and give s. 2632 Rearrange 2 + 395*s**2 - s - 449*s**2 + 299*s**2 to w*s + d + p*s**2 and give w. -1 Express -u**3 - 3*u**3 + 1 + 1 - 6*u - 752*u**2 + 748*u**2 in the form p*u**2 + q*u**3 + v*u + h and give p. -4 Rearrange -498*s**3 + 219*s**3 + 2 - 332*s**3 + 10*s**2 to t*s + v*s**2 + u + r*s**3 and give v. 10 Express 0*s**3 + 4*s**3 + 17 + 9*s - 12*s + 8*s**3 + 13*s**2 - 13*s**3 as u + q*s**2 + r*s + c*s**3 and give u. 17 Express (97*z - 301*z - 605*z)*(z - z - 3*z)*(-2*z - z + 4*z) in the form l*z**2 + i*z + t + g*z**3 and give g. 2427 Rearrange -82*f**2 - 10*f + 2*f**4 + 119*f**3 - 121*f**3 + 44*f**2 + 41*f**2 to the form j*f**3 + v + z*f**2 + n*f**4 + m*f and give z. 3 Rearrange ((-4 + 4 - 1)*(1 - 2*z - 1) + 2*z - 5*z + 4*z)*(5 - 5 + 2)*(17843 - 18731 - 35347) to the form y + t*z and give t. -217410 Express -107419*z**3 + 4*z**2 - z**4 + 107367*z**3 + 8*z**2 - 3 as g + l*z**3 + u*z**4 + r*z**2 + q*z and give l. -52 Rearrange -2896*x - 45281 + 45281 - 2294*x to the form w + j*x and give j. -5190 Rearrange (8*m - 7*m - 2*m)*(2*m + 0*m - 7*m)*(19 - 1 + 5) to p*m + g*m**2 + s and give g. 115 Express (2990*x + 111 + 12222*x - 1596*x + 59 - 170)*(-2*x - 2*x + 6*x) as q*x**2 + y*x + j and give q. 27232 Rearrange -97 - 4*u**2 + 10*u**2 - 45 - 7*u**2 - 2*u**3 - 124 + u to the form c*u**2 + i*u**3 + b + j*u and give c. -1 Express -4*c - 20*c**2 + 20 + 19*c**2 - 2*c - c**3 + 12*c - c in the form r*c**3 + i*c**2 + y*c + b and give y. 5 Express (44 + 100 + 39)*(0*h**4 + 0*h**4 + h**4) - 5453*h**3 + 5453*h**3 + 72*h**4 in the form o*h**2 + n + q*h**4 + r*h + s*h**3 and give q. 255 Rearrange (-2822 + 9585 - 2798)*(-5*y**3 + 4*y**3 + 3*y**3) + 0*y - y**3 + 0*y to the form l*y + d + z*y**2 + n*y**3 and give n. 7929 Express (-6 - 9*s + 6)*(2 + 0 - 3)*(-51*s - 264*s - 67*s) in the form u + m*s**2 + j*s and give m. -3438 Express -882 - 263*h**2 + 1758 - 877 in the form s + a*h**2 + p*h and give a. -263 Express (-4*o - 7 + 7)*(19 - 19 + 8*o**2) + 2*o**3 + 9*o**2 - 9*o**2 + (o**3 - 3*o**3 + 0*o**3)*(1 - 1 + 1) in the form z + x*o**2 + y*o**3 + q*o and give y. -32 Rearrange 10095*s + 2175*s + 3093*s + 297*s + 2 to the form v*s + c and give v. 15660 Rearrange (0 + 3 + 1)*(-7034 + 1968*l - 7030 - 7036 + 21100) to the form t + p*l and give p. 7872 Express -4*s**2 - 15*s - s**3 + 0*s - 13*s**2 + 19*s as k*s**3 + u*s**2 + f + c*s and give c. 4 Rearrange (0 + 0 - 2*b)*(0 - 1 + 0 + (-2 + 3 + 2)*(4 + 3 - 5) - 531 + 49 - 82)*(-2 + 1 + 0)*(3 - 2 - 2) + 3*b - 3*b - 3*b to m + z*b and give z. 1115 Rearrange -28*u + 37 + 24 + 59 + 8 + 20*u to q + s*u and give q. 128 Rearrange (-13734 + 6856 + 6880 + 4056*a)*(0*a**2 + 2*a**2 - 3*a**2) to the form n*a**2 + t*a + l + i*a**3 and give n. -2 Rearrange -421 + 1568*f**2 - 3146*f**2 + 1574*f**2 + 3128 to t*f**2 + u + a*f and give t. -4 Rearrange (-4 + 4 - 5)*(-2*l**2 + l - l)*(-362*l**2 - 1090*l**2 - 318*l**2) - 2*l**4 - l**4 + 0*l**4 to the form j*l**3 + z + c*l**4 + o*l + t*l**2 and give z. 0 Express (-d - 3*d - d)*(292*d**2 + 1028708 - 1028708) in the form y*d**3 + v*d + f + g*d**2 and give y. -1460 Express (-a - a + 0*a)*(-3683 + 1849 + 72*a**2 - 596*a**2 + 1837) as c*a**3 + m + t*a + w*a**2 and give c. 1048 Express 20*v + 357*v**2 - 19*v - 1490*v**2 as i + b*v**2 + z*v and give z. 1 Express (4*f + 1 - 3*f + 0*f)*(2693 + 1631 - 142 + 4020) in the form h*f + u and give h. 8202 Rearrange (-18*q + 125 - 125)*(2*q + 428 + 23*q + 96*q - 428) + 51*q - 10*q**2 - 51*q to z + l*q + r*q**2 and give r. -2188 Express (4*q + 3*q + 2*q)*(5*q**2 - 4*q**2 + 3*q**2) - 38*q + 38*q + 17*q**2 - 5*q**3 as a*q + g*q**3 + y + k*q**2 and give k. 17 Rearrange 3567*h**3 - 89*h - 3562*h**3 - 61*h - 164*h to the form n + o*h + a*h**3 + z*h**2 and give a. 5 Rearrange -601 - 10949*v + 601 + 795*v to the form i*v + d and give i. -10154 Rearrange 13 + 3*x**2 - 4 + x**2 - 169*x**3 + 183*x**3 to m*x**3 + z*x**2 + y*x + r and give r. 9 Rearrange 2885 - 47*v - 5726 + 80*v + 2880 + 98*v to the form j + i*v and give i. 131 Express -19*m + 14*m - 19*m + 173 - 9*m + 0*m as o*m + u and give o. -33 Rearrange 26 - 31337*d + 62681*d + 0*d**2 - 107*d**3 - 31345*d + 0*d**2 to o*d + w*d**3 + p + f*d**2 and give p. 26 Rearrange (734 - 825 - 844)*(4 - 6*p - 4 + (0 + 3 - 5)*(-p + 3*p - p)) to s*p + b and give s. 7480 Rearrange -103*i + 14148 - 7094 - 7081 - 9*i to f + n*i and give f. -27 Express 6*c**4 + 14*c**2 + 14*c**3 - 6734 + 6734 as x*c**4 + p + y*c**3 + o*c + u*c**2 and give x. 6 Express -2*y**2 + 57*y - 44*y**3 + 29*y**4 + 43*y**3 - 84*y as x*y + j*y**3 + i + q*y**4 + k*y**2 and give k. -2 Express -368*d + 12 - 2*d**3 - 27 + 17 as s*d**3 + k + b*d**2 + l*d and give l. -368 Express 2*z + 342 - 558 + 275 + 344 in the form l*z + x and give l. 2 Rearrange 31518 + 3*l**3 - 4*l**4 - 31517 + 74*l**2 + 3*l**4 - 43*l**2 + 39*l**2 to the form q*l**2 + n*l**4 + v + m*l + b*l**3 and give n. -1 Rearrange 2*m**4 + 11285*m**3 - m**2 + 2 - 53*m - 11291*m**3 + 10*m + 0*m**4 + 2*m**2 to v*m**4 + n + t*m**3 + w*m + k*m**2 and give k. 1 Express 18008 - 9019 - 8989 - 43460*k**2 + (0*k - 2*k + 3*k)*(5*k - 2*k - 4*k) as i*k**2 + s*k + j and give i. -43461 Express -2949 + 1485 + 1492 - 27*t as n + v*t and give v. -27 Express (3*c**2 - c**2 - 4*c**2)*(5*c + c - 4*c) - c**3 + c**3 - c**3 + 205*c**3 - 202*c**3 + 1067*c**3 in the form d*c**3 + j*c**2 + y + l*c and give d. 1065 Express 99*k**2 + 0 + 17652*k + 0 - 17647*k as t*k + i*k**2 + s and give t. 5 Rearrange -54*x**2 - 54*x**2 - x + 3 - 67*x**2 + 2*x**4 + 162*x**2 - 3*x**3 to the form m*x**4 + z*x**2 + c + t*x + a*x**3 and give t. -1 Express -275*v - v**2 + 99*v - 539 + 543 in the form o*v + u + q*v**2 and give q. -1 Rearrange (2*t - 3*t + 2*t)*(-4146977 + 4146977 - 1954*t) to the form o + j*t + f*t**2 and give f. -1954 Express (155 - 157*i - 155)*(1 + 22 - 12)*(7 + 13 + 9) as q*i + h and give q. -50083 Rearrange 975*s + 6*s**2 - 5*s**2 + 5*s**2 - 3*s**2 - s**3 - 4*s**2 to the form c*s + g + y*s**2 + n*s**3 and give n. -1 Rearrange (-2089*g**3 - 422374*g**2 - 2323*g**3 + 422376*g**2)*(-2 - 2 + 7)*(g + 0*g + g) to the form w*g + y*g**4 + z + p*g**2 + c*g**3 and give c. 12 Rearrange 21 - 31 - 214*y + 10 - 309*y**3 - 2*y**2 + 322*y**3 to the form l + b*y**3 + i*y + n*y**2 and give i. -214 Express (-m**2 - 1 + 1)*(-2 + 3 - 2) - 2 - 3*m**2 + 2 - 20*m**2 - 45*m**2 + 20*m**2 in the form x*m**2 + y + f*m and give x. -47 Express (-w**3 - 4*w**3 + 4*w**3)*(5577 + 6526 + 624) in the form q*w**2 + b*w + h*w**3 + n and give h. -12727 Express (51*l + 23*l + 8*l)*(-6*l + 0*l + 2*l) - l**2 + 11*l - 11*l as n + b*l**2 +
{ "pile_set_name": "DM Mathematics" }
*(-48) Simplify (k**3/k*k/k**(-2/9))**30/((k*k/(k/(k**(1/7)*k)*k)*k**(1/3))/(k**(-1/4))**(-23)) assuming k is positive. k**(8479/84) Simplify (((c**19*c/(c**(-1/30)*c))**(-1/13))**(2/3))**(-8) assuming c is positive. c**(4568/585) Simplify (h**(-9/2)/(h/((h**(2/15)*h)/h*h*h))*(h/(h/(h*h**(-2/7))*h))**(-4/21))**26 assuming h is positive. h**(-21099/245) Simplify ((m**(-38)*m*m*m**(-2/21)/m*m)/((m*m**(2/21))/m*m)**(2/39))**(-20) assuming m is positive. m**(592160/819) Simplify (((o**(-9)*o/(o/(o*(o**(-5/4)/o)/o)*o))**12)**(-15))**(-3/25) assuming o is positive. o**(-1323/5) Simplify ((c**(8/13))**(12/13)*c/c**(-3/20)*c**(-2/103))**(17/3) assuming c is positive. c**(10053137/1044420) Simplify ((b**(2/7))**17/(b/(b*(b**(15/8)/b)/b*b)*b*b/(b/(b/(b/(b/b**29))))))**(-17) assuming b is positive. b**(-31161/56) Simplify (j**(-3/7)/(j*j**8*j*j*j*j))**(-2/33)*(j/(j/j**(-3/4)))/j**(-2/11)*j**1*j**6 assuming j is positive. j**(6695/924) Simplify ((t/(t/(t*(t*t*t**(5/6)*t)/t))*t*t**4/t*t)/(t/t**1)**(-1/11))/(t*t**(-2/5)*t**5*t)**(-1/34) assuming t is positive. t**(2302/255) Simplify (j*j**(1/3)/j*j*j**(-1/14)*j*(j**(-1))**(-13/4))/(j*j*j/j**(-1/9)*j**(-1/21))**(2/13) assuming j is positive. j**(2359/468) Simplify ((z**(-2/13)/z)/z**(-8))**(2/3)/((z*z**2)**(-14/3))**(-9) assuming z is positive. z**(-4736/39) Simplify (j**(-2)*j*((j*j*j*j**(3/5)*j)/j)/j)**(-2/57)*(j*j**(2/5)*j)**3/((j*j/((j**(-3/11)*j*j)/j*j))/(j*(j*j*j*j**(1/12))/j*j)) assuming j is positive. j**(137369/12540) Simplify f**(-1/4)/(((f**(2/15)/f*f)/f*f)/f)*(f/(f*((f*f**(2/17))/f)/f))/f*f*(f*f**1)/f*f*((f**(-1)*f)/f)**(4/25)*(f**(1/5))**14 assuming f is positive. f**(31309/5100) Simplify (((h**(-2/5))**(2/41)/((((h**(7/6)*h)/h)/h)/((h*h**(-6))/h)))**(-29))**(-15/7) assuming h is positive. h**(-31523/82) Simplify (h*h**(-5/4))/h*h/h**(3/7)*h*(h/(h**(-2)*h*h))**13*(h**(-3)*h**(6/11))**(-12) assuming h is positive. h**(13175/308) Simplify (((w**4*w**0)/(w**1)**(9/2))**(-2/33))**(-23/2) assuming w is positive. w**(-23/66) Simplify (f**(-5)/(f/f**2))/((f*f**2/f*f)/((f/(f*f*(f**(1/6)/f)/f*f*f*f*f))/f))*(f*f/(f**(-5)/f)*f**(2/5))**(-3/13) assuming f is positive. f**(-5111/390) Simplify (x**(1/2)/x)**19*(x**(-2/7)/x)/(x**(1/5)*x)*(x**(-1)/(x**(-2/11)*x))**24 assuming x is positive. x**(-42829/770) Simplify (k**(3/5)/k*k**5/k*k)/(((k/(k**(-2/3)/k))/k)/k**5)*(k/(k/(k*k**(-2))*k))**36*(k*k*(k*k/((k/k**(1/4)*k)/k))/k)/(k**(2/7)*k) assuming k is positive. k**(-26503/420) Simplify (((r*r*(r*r**(9/4)/r)/r)/r**(1/4))/(r**(3/11)/(r*r*r/r**(-10))))**(23/5) assuming r is positive. r**(3979/55) Simplify ((w*w**(-1/30)*w**(-24)/w)/(w**(-33))**49)**(-18) assuming w is positive. w**(-143367/5) Simplify (k**1)**(-11)/(k**(-7)/k*k**2)*(k**(2/7))**(-17/2)/(k**(-2)*k/k**0) assuming k is positive. k**(-45/7) Simplify (((((z/((z**20/z)/z))/z*z)/z**18)**47)**(2/5))**(3/20) assuming z is positive. z**(-987/10) Simplify (k**1/(k/k**(-2/19)*k)*(k/k**0)**(-38))/((k**(-1))**(2/51)/((k/k**(2/13))/k*k*k*k/k**(1/5))) assuming k is positive. k**(-2293907/62985) Simplify ((((w/w**(1/5)*w)/w*w*w/(w**(-1/7)*w))/(w*w*w*w**(-1)*w*(w/w**1)/w))**(1/29))**(-24) assuming w is positive. w**(48/1015) Simplify ((s*s**(-1/2)*s)/s)/(s*s*s**5)*s**1/(s**(-7/3)/s)*(s/s**(1/5)*s*s)/((s*s/s**(-1/3)*s)/s)*(s**(2/9))**(10/7) assuming s is positive. s**(-871/630) Simplify ((q**3*q*q*q*(q/(q/((q*q**(-3))/q)*q))/q)/(q**(-1/4)/(q**(3/7)*q)))/(q**7*q**(2/9))**31 assuming q is positive. q**(-55745/252) Simplify ((z/(z*z*z*(z*z/z**(3/10)*z*z)/z)*z)/z*z**(-6)*(z**0)**(-15/8))/(z**(-1)/z*z*z*z**(-6)*(z*((z**(-2/7)/z)/z)/z*z)/(z/z**(2/5))) assuming z is positive. z**(-197/70) Simplify ((b/(b**(-1/7)*b*b)*b**(-5))/(b**1)**(14/9))/((b*(b*((b/b**1)/b*b)/b*b)/b)/b**(-3/5)*b*b**(-1/2)*b/b**(2/7)) assuming b is positive. b**(-6443/630) Simplify (k**(-7))**33/((k*k**(-19/6)*k)/k**12) assuming k is positive. k**(-1307/6) Simplify ((s**(-4/5)*s/(s/s**(-13)*s))/(s**(1/12)*s*s*s*(s*s/s**(-5/3)*s*s)/s*s))**20 assuming s is positive. s**(-471) Simplify (g**(1/3)/g**(-1))**(-10/3)*(((g/g**(-3/5))/g*g)/(g*g**1*g))**(-2) assuming g is positive. g**(-74/45) Simplify ((b/(b/((b**2*b)/b)))**(-1/11))**(-3/7)*(b/(b/b**(-10/3))*b**(-1/2))**35 assuming b is positive. b**(-61949/462) Simplify (m**(2/9)/((m*m**(-1/16))/m))/(m**4*m**(-1/11))*(m/(m*m**(6/11)*m*m))/m**(2/19)*m**(-5/6)*(m**1/m*m)/m assuming m is positive. m**(-213935/30096) Simplify ((y/(y/y**(-1)))**49)**(14/11)*((y**4*y)/y*y**(-3)*y)/(y**0)**34 assuming y is positive. y**(-664/11) Simplify g**(2/3)*g**(-5)*(g*g**(3/5))/g**(-1/8)*(((g/(g*(g/(g*g**(2/13))*g)/g*g))/g)/((g**(-3/2)/g)/g))**(28/9) assuming g is positive. g**(11873/4680) Simplify (((k/(k*k**(-5/4)*k))/((k**(-15/4)/k)/k*k))**48)**(-17) assuming k is positive. k**(-4080) Simplify ((s**4)**(3/17)*((s**(-14)/s)/s)/(s/s**(2/27)))**(-5/6) assuming s is positive. s**(37225/2754) Simplify ((v**0)**(1/11)/((v/(v/(v*v**(-26))))/(v*v/((v/(v/v**9*v*v*v)*v)/v)*v)))**(-44) assuming v is positive. v**(-968) Simplify ((p*p/p**(-25))/p**(2/7)*(p/((((p*p/(p**14/p))/p)/p)/p*p))**5)**(-11/6) assuming p is positive. p**(-7447/42) Simplify (((((o*o/((o*o*o**(1/13)*o)/o)*o)/o)**(1/27))**(-10))**(1/3))**37 assuming o is positive. o**(370/1053) Simplify ((t**(2/5))**(-5)/(t**0*t**(-2/3)))/(t**7/((t/t**5)/t)*t**(3/8)*t*t*t**(-6/5)) assuming t is positive. t**(-1741/120) Simplify (((h**(2/3)/h*h*h)/h)**(8/7)/(h*h**(-6/5)*h*h*h**(-2/23)))**4 assuming h is positive. h**(-9188/2415) Simplify (z**(1/6)*(((z/z**(2/13))/z)/z)/z*z)/(z*((z**(-37)*z)/z)/z)**2 assuming z is positive. z**(5695/78) Simplify (((k**3*k)/k)/k*k**7*(k**(2/5))**(-16))/((k**(-1/2))**(-29)/(k/((k**(-5)*k)/k)*k*k*k**(-3/4))) assuming k is positive. k**(-93/20) Simplify ((s*s*s**(-34))**(-29)/(s*(s/(s*s**24*s))/s*s*s/s**(-41)*s))**(4/5) assuming s is positive. s**(3636/5) Simplify ((r/(r/(r/r**(-1/2)*r*r)))**(-38)/((r*r**(5/3))/r*r**2*r))/(((r*r*r**(-6)*r*r)/(r/r**(-1/3)*r))/(r/r**(-1))**(2/69)) assuming r is positive. r**(-9196/69) Simplify ((u/u**(-1))**28)**(1/86)/(u**8*u**3*u*u**(-2/31)*u*u**(-2/5)) assuming u is positive. u**(-79209/6665) Simplify (b**(-4)/b*b**(-1/4))**(43/3)*(b**(-2/3)/b*b)**(-7)/(b/(b/(b*b**3))*b**2) assuming b is positive. b**(-919/12) Simplify (((u/u**(1/3))/u)**(-26)*(u**1/u)**(-48))/((u**(-1/3))**(-1/41)/(u**(2/7))**(-2/147)) assuming u is positive. u**(365131/42189) Simplify ((d/d**(2/11))**42*(d**0)**(-18/7))**(-47) assuming d is positive. d**(-17766/11) Simplify ((i*i/(i*i*i*i/(i/i**(-2/9))*i)*i**7*i)/((i/((i/i**(-7))/i*i)*i)/i**(-1/2)))/((i**(-7/2)/i)/(i**(-1/13)*i))**35 assuming i is positive. i**(23579/117) Simplify (d**30*d/(d**(-2/59)/d))/(d*d**(-28)*d)**(-1) assuming d is positive. d**(356/59) Simplify (r**(-6)/(r*r**11)*r/((r*r**(-13))/r)*r**8)**(-6/11) assuming r is positive. r**(-24/11) Simplify ((j*j*j*j*j*j*j/(j*j/(j/j**(5/4))*j)*j*j*j/((j*j**(2/3)*j)/j))/(j*j/j**1)**(-30/11))/((j*j*j**(-2/5))**(-12))**(1/2) assuming j is positive. j**(11491/660) Simplify (b**1)**(1/12)/(b/b**(-2))**5*((b**(-2/5)*b)/b)/b*b**(-2/5)*b*b**7/b*b*b*b/(b/(b*b*b**(-3/4))) assuming b is positive. b**(-97/15) Simplify (((y**(2/5))**(1/14)*(((y**4*y)/y)/y*y*y)/y**(-7))**(-1/51))**(27/5) assuming y is positive. y**(-3789/2975) Simplify (((f**(-6)*f)/f**(7/6))/(f*f**(-2/77)*f/f**(-2/43)))**44 assuming f is positive. f**(-325294/903) Simplify ((s**7/(s*s**(-2/5)*s))/(s**(-3/8)*(s*s/(s*s*s*s/s**2))/s))/((s*s/(s/s**(2/37)))/(s**(5/4)*s))**(-2) assuming s is positive. s**(6487/1480) Simplify ((y**(-4/5)*y**(-2/15))/(y**(-4)*(y/(y**(2/7)*y))/y*y))/((y**(-2/5))**(-37)*((y*y*y**(-2/5))/y)**(-29)) assuming y is positive. y**(125/21) Simplify (b**11/(((b*b**(2/25)*b)/b)/b))**(-2/9)*(b**(7/2)/((b*b/(b*b**8)*b)/b))/(b**1*(((b**8/b)/b*b)/b)/b) assuming b is positive. b**(311/150) Simplify ((m*m/((m/m**(-3/10))/m)*m*m/(m*m*(m/(m*(m/m**(2/21))/m))/m*m))/(m/((m**(8/11)*m)/m)*m**20/m*m))**7 assuming m is positive. m**(-43123/330) Simplify (x/(x**6/x)*(x*x**(-3/5))/x*(x/((x*x**(-1)*x)/x*x)*x)**(-20))**(2/99) assuming x is positive. x**(-82/165) Simplify ((n*n*n**2/n*n)**(4/5)*n/n**(2/9)*n**(-5))/(((n/n**(3/4))/n**(-1/2))/((n*n**(2/5)*n)/n**(-7))) assuming n is positive. n**(1373/180) Simplify ((q/(q**7/q))/q*q*q**(8/7)/q)/(q
{ "pile_set_name": "DM Mathematics" }
nt from iclgcqqigccp. Give prob of picking 1 q, 1 l, and 1 p. 1/110 Calculate prob of picking 2 n and 2 j when four letters picked without replacement from {j: 11, n: 9}. 132/323 Calculate prob of picking 2 h and 2 c when four letters picked without replacement from hhhchhhhchc. 14/55 Two letters picked without replacement from dxedcdzxdcdxxe. What is prob of picking 1 e and 1 c? 4/91 Calculate prob of picking 2 x when two letters picked without replacement from xxxxdxxxxxxxx. 11/13 Three letters picked without replacement from {v: 1, h: 6, z: 2, j: 3, f: 1, o: 2}. Give prob of picking 2 j and 1 h. 18/455 What is prob of picking 2 f when two letters picked without replacement from oofffff? 10/21 Three letters picked without replacement from {g: 8, j: 5, l: 1, b: 5, d: 1}. Give prob of picking 1 d, 1 b, and 1 j. 5/228 Calculate prob of picking 2 a when two letters picked without replacement from btbaababbabaabb. 1/7 Two letters picked without replacement from ybrrrrrbbyeeeir. What is prob of picking 2 r? 1/7 Two letters picked without replacement from {i: 2, n: 1, e: 5, h: 3, r: 6, v: 3}. Give prob of picking 1 v and 1 r. 9/95 What is prob of picking 3 e and 1 u when four letters picked without replacement from neeueeeevvev? 7/99 What is prob of picking 2 w and 2 t when four letters picked without replacement from {w: 2, t: 11}? 1/13 Two letters picked without replacement from {w: 1, d: 4, j: 4, l: 1, n: 1, a: 1}. What is prob of picking 1 j and 1 n? 2/33 Three letters picked without replacement from {z: 3, a: 1, o: 3, k: 1, n: 4, e: 3}. What is prob of picking 1 n, 1 k, and 1 a? 4/455 What is prob of picking 2 t when two letters picked without replacement from {t: 3, l: 1, j: 1, m: 7}? 1/22 Two letters picked without replacement from nnjjjjjnjnjjnj. What is prob of picking 1 n and 1 j? 45/91 Two letters picked without replacement from httthttt. Give prob of picking 1 t and 1 h. 3/7 Two letters picked without replacement from {l: 1, z: 2, q: 2, h: 1, v: 2, c: 1}. Give prob of picking 2 q. 1/36 Calculate prob of picking 1 i, 1 y, and 1 z when three letters picked without replacement from {z: 2, i: 1, u: 1, y: 1}. 1/5 Two letters picked without replacement from zzzizzizzzeiziiziiz. What is prob of picking 2 z? 55/171 What is prob of picking 1 d and 2 h when three letters picked without replacement from {d: 1, o: 7, h: 9, k: 2, z: 1}? 3/95 Calculate prob of picking 1 z and 3 u when four letters picked without replacement from zuzpzuzzzzuzzzzzz. 13/2380 Three letters picked without replacement from {p: 3, o: 7}. What is prob of picking 3 o? 7/24 What is prob of picking 1 y, 2 j, and 1 m when four letters picked without replacement from {m: 3, j: 3, z: 4, y: 4}? 36/1001 What is prob of picking 1 s and 2 t when three letters picked without replacement from {j: 7, t: 2, d: 7, a: 1, s: 1}? 1/816 Calculate prob of picking 1 e, 1 s, 1 n, and 1 l when four letters picked without replacement from aesalnsasaanslseln. 1/34 What is prob of picking 1 p and 1 m when two letters picked without replacement from lmmmmplllpmlll? 10/91 Four letters picked without replacement from {a: 3, n: 4}. What is prob of picking 4 n? 1/35 Three letters picked without replacement from bonknhkh. What is prob of picking 2 n and 1 k? 1/28 Calculate prob of picking 1 b and 2 f when three letters picked without replacement from {o: 5, b: 3, d: 1, v: 1, f: 3}. 9/286 Four letters picked without replacement from {r: 1, z: 7, l: 1}. What is prob of picking 4 z? 5/18 Four letters picked without replacement from mmmoomommooom. Give prob of picking 4 m. 7/143 Calculate prob of picking 2 d when two letters picked without replacement from {r: 2, d: 5, i: 3}. 2/9 Four letters picked without replacement from {b: 2, z: 1, l: 1, r: 10}. What is prob of picking 2 r and 2 b? 45/1001 Two letters picked without replacement from wnxnwnnbwknkwnwxww. What is prob of picking 1 k and 1 x? 4/153 Two letters picked without replacement from bbtrrzzbzr. What is prob of picking 2 b? 1/15 Four letters picked without replacement from {m: 19, a: 1}. Give prob of picking 4 m. 4/5 What is prob of picking 3 b when three letters picked without replacement from {k: 10, r: 1, b: 6}? 1/34 Four letters picked without replacement from {p: 1, m: 1, a: 1, o: 1, c: 2, d: 1}. Give prob of picking 1 o, 1 c, 1 m, and 1 a. 2/35 Three letters picked without replacement from yyurryyry. What is prob of picking 1 u and 2 r? 1/28 Calculate prob of picking 3 q when three letters picked without replacement from eqqqqeq. 2/7 Calculate prob of picking 1 j and 1 k when two letters picked without replacement from kjjjjjjj. 1/4 Two letters picked without replacement from {h: 3, x: 4, u: 1, w: 2, f: 2}. What is prob of picking 1 w and 1 h? 1/11 Calculate prob of picking 1 s and 1 x when two letters picked without replacement from {x: 5, s: 3}. 15/28 What is prob of picking 2 q and 2 a when four letters picked without replacement from aqqaaaqqqaaa? 14/33 Calculate prob of picking 1 c, 1 o, and 2 v when four letters picked without replacement from mmconnvovmnovw. 9/1001 What is prob of picking 2 r and 1 g when three letters picked without replacement from gtjtrbr? 1/35 What is prob of picking 2 c and 1 s when three letters picked without replacement from {t: 3, z: 7, l: 3, c: 2, s: 4}? 4/969 Calculate prob of picking 2 e when two letters picked without replacement from eeeeee. 1 Calculate prob of picking 1 d and 2 x when three letters picked without replacement from dtzzdtdddtrtdxxxd. 21/680 Four letters picked without replacement from {e: 6, b: 3, v: 2, p: 1, u: 2}. Give prob of picking 1 b and 3 e. 60/1001 Calculate prob of picking 3 h when three letters picked without replacement from {z: 1, j: 1, p: 4, q: 1, w: 1, h: 4}. 1/55 What is prob of picking 4 f when four letters picked without replacement from fffbbfbffbffffffffff? 364/969 What is prob of picking 2 a when two letters picked without replacement from {m: 3, x: 6, q: 1, h: 2, a: 6}? 5/51 Calculate prob of picking 1 o and 1 r when two letters picked without replacement from {r: 3, j: 4, o: 6, u: 2, q: 2}. 9/68 Calculate prob of picking 1 y and 2 g when three letters picked without replacement from hgyggzr. 3/35 Calculate prob of picking 1 h, 1 a, 1 f, and 1 o when four letters picked without replacement from {a: 1, f: 1, h: 3, m: 1, o: 1}. 3/35 Three letters picked without replacement from ppuuuppuuupuupppuppu. What is prob of picking 3 u? 2/19 What is prob of picking 3 v and 1 y when four letters picked without replacement from {n: 5, y: 2, q: 3, v: 3}? 2/715 What is prob of picking 3 u when three letters picked without replacement from {n: 12, u: 7}? 35/969 Two letters picked without replacement from ttoo. What is prob of picking 2 o? 1/6 What is prob of picking 2 u and 1 y when three letters picked without replacement from yyyyyyuuuuuuu? 63/143 Calculate prob of picking 2 q and 1 n when three letters picked without replacement from nnqnnqnqnnqqn. 40/143 What is prob of picking 3 q and 1 a when four letters picked without replacement from {q: 11, a: 2}? 6/13 Two letters picked without replacement from xxxxxzxxxxxrxxx. Give prob of picking 2 x. 26/35 Two letters picked without replacement from svvsssvsvv. Give prob of picking 2 v. 2/9 Calculate prob of picking 1 c, 2 e, and 1 w when four letters picked without replacement from clwlececeeiccecwl. 6/119 What is prob of picking 1 f and 1 z when two letters picked without replacement from {f: 3, c: 4, h: 3, a: 2, e: 2, z: 1}? 1/35 Three letters picked without replacement from {d: 1, f: 2, o: 2, e: 1}. Give prob of picking 2 f and 1 o. 1/10 Four letters picked without replacement from iiiii. Give prob of picking 4 i. 1 Four letters picked without replacement from {z: 2, r: 2, x: 1, s: 1, o: 1}. Give prob of picking 2 r, 1 s, and 1 z. 2/35 Two letters picked without replacement from xxxixxiimixmxxi. Give prob of picking 1 i and 1 m. 2/21 What is prob of picking 2 f and 2 x when four letters picked without replacement from {f: 8, b: 1, z: 2, x: 4}? 8/65 What is prob of picking 3 e when three letters picked without replacement from eeepeeeemeepeemeem? 143/408 What is prob of picking 1 z, 1 n, and 1 e when three letters picked without re
{ "pile_set_name": "DM Mathematics" }
7/4, 5 Put -3, -8, -9, 4 in decreasing order. 4, -3, -8, -9 Sort -1, -5, 0.4, 7 in decreasing order. 7, 0.4, -1, -5 Sort 4.2, -2/9, 4/5, -2. -2, -2/9, 4/5, 4.2 Sort 0.054, 2, 2/101. 2/101, 0.054, 2 Put 3, 9, 157 in descending order. 157, 9, 3 Sort 4, 6, -13 in increasing order. -13, 4, 6 Sort -0.06, -0.3, -3, -1 in decreasing order. -0.06, -0.3, -1, -3 Put -1, -8, 110 in descending order. 110, -1, -8 Sort 9, -442, -3, 4 in descending order. 9, 4, -3, -442 Sort -5, 4, -4, 1/5. -5, -4, 1/5, 4 Sort -2, -63, 4 in ascending order. -63, -2, 4 Sort -2, -3, -4, 1, -1.2 in descending order. 1, -1.2, -2, -3, -4 Sort -3, -4/5, 123, 0.5. -3, -4/5, 0.5, 123 Sort 1, -3, -1, 5, -13 in decreasing order. 5, 1, -1, -3, -13 Put -3, 2, -5, 9 in increasing order. -5, -3, 2, 9 Sort 29, 3, 2, 1 in descending order. 29, 3, 2, 1 Sort 0.0566, 2/13, -3, -5. -5, -3, 0.0566, 2/13 Put 1, 4, -2, 9 in increasing order. -2, 1, 4, 9 Sort 5, -2, -34, 0, 1. -34, -2, 0, 1, 5 Put 11, 0.3, 4 in increasing order. 0.3, 4, 11 Sort 0.29, -5/2, -1/2, 0.3. -5/2, -1/2, 0.29, 0.3 Sort -58, 0.4, 0.056 in decreasing order. 0.4, 0.056, -58 Put 1, 2.2, 0.4 in descending order. 2.2, 1, 0.4 Sort -0.4, -4, -8. -8, -4, -0.4 Sort -0.2, 2/5, -0.816, -4 in ascending order. -4, -0.816, -0.2, 2/5 Sort 3651, 3, -2 in descending order. 3651, 3, -2 Sort -5/3, 0.14, 0.5, -156, 0 in descending order. 0.5, 0.14, 0, -5/3, -156 Put 2/11, 5, 3, -148 in ascending order. -148, 2/11, 3, 5 Put 0.4, 1, -1, 4, -1/2 in decreasing order. 4, 1, 0.4, -1/2, -1 Sort -11, 0, 4, -4 in decreasing order. 4, 0, -4, -11 Put -3/5, -4, -5, 26, -2/3 in ascending order. -5, -4, -2/3, -3/5, 26 Sort -1, -5/4, 3, 7 in decreasing order. 7, 3, -1, -5/4 Put 0, 2, 2.7 in decreasing order. 2.7, 2, 0 Put 12, 3, -0.4 in descending order. 12, 3, -0.4 Put -5, 0, -3/11, -1, -11 in decreasing order. 0, -3/11, -1, -5, -11 Sort -45, -1, 4. -45, -1, 4 Sort -5, 0, 4, 80 in increasing order. -5, 0, 4, 80 Sort -2, 1, -1, 0 in decreasing order. 1, 0, -1, -2 Sort 0.5, 53, 2 in decreasing order. 53, 2, 0.5 Sort 5, -0.4, 3/5. -0.4, 3/5, 5 Sort 3/7, 2/5, 9, -5, 4 in increasing order. -5, 2/5, 3/7, 4, 9 Put 3/11, -0.1, -1/2 in decreasing order. 3/11, -0.1, -1/2 Put 1, 2, -9, 64, -5 in descending order. 64, 2, 1, -5, -9 Sort 0.6, -38, 2/3, -2. -38, -2, 0.6, 2/3 Put -4/15, 0.3, 0.1, 31 in ascending order. -4/15, 0.1, 0.3, 31 Put 21, 0.4, -2/5 in descending order. 21, 0.4, -2/5 Sort -3, -2, 0.026 in increasing order. -3, -2, 0.026 Put 0.16, 3/5, 4, 0.2 in descending order. 4, 3/5, 0.2, 0.16 Sort -3, -5, -3/2, 18 in ascending order. -5, -3, -3/2, 18 Sort -0.8, -1, 0.3, -0.4, 0.6 in decreasing order. 0.6, 0.3, -0.4, -0.8, -1 Sort -1273, -1, 1/3 in increasing order. -1273, -1, 1/3 Sort -5, -63, -18. -63, -18, -5 Sort -9, 2, -4, 1. -9, -4, 1, 2 Sort 6, 1, -97, -2, -5 in decreasing order. 6, 1, -2, -5, -97 Put -6/17, -9, -1, 1/3, 1 in ascending order. -9, -1, -6/17, 1/3, 1 Sort -3, -0.73, -2/11 in ascending order. -3, -0.73, -2/11 Put 5, -58, 0.1, -2/15 in decreasing order. 5, 0.1, -2/15, -58 Put -1/7, -393, 0.3, 0.1, 4 in descending order. 4, 0.3, 0.1, -1/7, -393 Put -51, -3, -1 in ascending order. -51, -3, -1 Sort -0.1, -278/9, -0.5 in descending order. -0.1, -0.5, -278/9 Put -4, 4, -5, -8 in decreasing order. 4, -4, -5, -8 Sort 0.1, -2/9, -156 in descending order. 0.1, -2/9, -156 Put 1/2, -0.3, -54 in decreasing order. 1/2, -0.3, -54 Sort 328, -4, -0.23 in decreasing order. 328, -0.23, -4 Put -0.71, 1/6, 50 in decreasing order. 50, 1/6, -0.71 Sort 22, -3/4, 1/5. -3/4, 1/5, 22 Sort 2, 0.4, 18, -5/27 in increasing order. -5/27, 0.4, 2, 18 Put -0.4, 7/4, 6/7, 0.5 in ascending order. -0.4, 0.5, 6/7, 7/4 Sort -0.2, 3, -29. -29, -0.2, 3 Sort -641, -4, 0.9 in decreasing order. 0.9, -4, -641 Sort -4, -3, 52 in descending order. 52, -3, -4 Put 0, -2, 3, -167 in decreasing order. 3, 0, -2, -167 Sort 0.3, -214, -3, -0.4 in increasing order. -214, -3, -0.4, 0.3 Sort 4/5, 4, 3.326. 4/5, 3.326, 4 Put -5, 5, 11 in descending order. 11, 5, -5 Sort -1/8, 1, 18 in ascending order. -1/8, 1, 18 Sort -58/7, 1/3, 2, -2/9. -58/7, -2/9, 1/3, 2 Sort 298, 7, 2. 2, 7, 298 Sort -2/3, 302, 1 in ascending order. -2/3, 1, 302 Sort 12, 1, 0, 33 in descending order. 33, 12, 1, 0 Put -3346, 4, 5, 2 in decreasing order. 5, 4, 2, -3346 Sort -13/4, -4, 0.5, 1/4, -0.5 in increasing order. -4, -13/4, -0.5, 1/4, 0.5 Sort 148, -3, -7, -5 in decreasing order. 148, -3, -5, -7 Put -3, -2, -415, 0 in descending order. 0, -2, -3, -415 Put 1, 4, -405, -1/2 in descending order. 4, 1, -1/2, -405 Put 0.129, -15, -1, -4 in descending order. 0.129, -1, -4, -15 Sort 0.3, 0.11, -0.08 in ascending order. -0.08, 0.11, 0.3 Sort 5, 2, -3, -2. -3, -2, 2, 5 Put 15, 2/3, -4, 2/7 in descending order. 15, 2/3, 2/7, -4 Put -0.5, -7, -0.51, 2 in descending order. 2, -0.5, -0.51, -7 Put 0, -1, -89 in decreasing order. 0, -1, -89 Put -1, 3, -1462 in increasing order. -1462, -1, 3 Put -4, 5, -44, -3 in decreasing order. 5, -3, -4, -44 Sort 22, -2, 5, -7, -1 in descending order. 22, 5, -1, -2, -7 Sort -2/5, 7, -1, 3, -4. -4, -1, -2/5, 3, 7 Sort -0.11, 0.3, 0.2. -0.11, 0.2, 0.3 Sort 2/11, -2, 3, 0.3 in descending order. 3, 0.3, 2/11, -2 Sort 2/19, -2/13, -4/9, -1 in decreasing order. 2/19, -2/13, -4/9, -1 Sort 5, -287, -3. -287, -3, 5 Put 1/7, -0.0813, -3, 4 in increasing order. -3, -0.0813, 1/7, 4 Sort 6, 4, 5 in descending order. 6, 5, 4 Sort -4, 104, -5, 2 in ascending order. -5, -4, 2, 104 Sort -34, -4, -0.2, -3, 0.1 in descending order. 0.1, -0.2, -3, -4, -34 Put -5, -2, 329, 0 in decreasing order. 329, 0, -2, -5 Put -0.3, -0.05, -27, -1 in descending order. -0.05, -0.3, -1, -27 Sort 0.4, 1, -18, -2, 1/3 in decreasing order. 1, 0.4, 1/3, -2, -18 Sort 21, 4, 15 in increasing order. 4, 15, 21 Sort -213, -2, -5 in descending order. -2, -5, -213 Put -17, 3, -21 in decreasing order. 3, -17, -21 Sort 0.4, 3/4, -1, 2/11, -54 in decreasing order. 3/4, 0.4, 2/11, -1, -54 Put -1, 3, 9, -4 in decreasing order. 9, 3, -1, -4 Sort -1, 0, -39, -2 in decreasing order. 0, -1, -2, -39 Sort 1/3, -60, 2/3, 1/4, -0.1 in increasing order. -60, -0.1, 1/4, 1/3, 2/3 Put 0, 5, -4, -2 in descending order. 5, 0, -2, -4 Put 1, -17, -5, 4 in increasing order. -17, -5, 1, 4 Put -0.1, 0, -0.4, 6, 1/3 in decreasing order. 6, 1/3, 0, -0.1, -0.4 Put 2/7, 7, 2/5, -0.1, 32 in descending order. 32, 7, 2/5, 2/7, -0.1 Sort 28, -3, -1, 8 in descending order. 28, 8, -1, -3 Put 2/5, 6, -7/4 in ascending order. -7/4, 2/5, 6 Sort -2/9, 5, -2, 119, 4. -2, -2/9, 4, 5, 119 Sort -5, 91, -0.3 in descending order. 91, -0.3, -5 Put -367, -1, 5 in decreasing order. 5, -1, -367 Sort 3, 10, -2, -4, -18. -18, -4, -2, 3, 10 Sort -51, -1, 1, 2 in decreasing order. 2, 1, -1, -51 Sort -31, -1, -0.4 in ascending order. -31, -1, -0.4 Put -7, -1, -25 in ascending order. -25, -7, -1 Sort 2, 131, 5 in ascending order. 2, 5, 131 Sort -1/7, -0.09, -4, 2/17, -0.075 in descending order. 2/17, -0.075, -0.09, -1/7, -4 Put 3.4, 5, -12 in descending order. 5, 3.4, -12 Sort 5, 1/5, 4, -4 in decreasing order. 5, 4, 1/5, -4 Put 12, -2/61, 0.1 in increasing order. -2/61, 0.1, 12 Sort 2.6, -0.1, -2/3 in ascending order. -2/3, -0.1, 2.6 Put -0.2, -1, -27/4, -3/4, -1/13 in ascending order. -27/4, -1, -3/4, -0.2, -1/13 Put 1, -6, -7 in ascending order. -7, -6, 1 Sort -1/3, 1/2, 3, -1/6. -1/3, -1/6, 1/2, 3 Put 2/9, 5, -21/5, -25, -1/5 in descending order. 5, 2/9, -1/5, -21/5, -25 Put 0.2, 5, -1/179 in descending order. 5, 0.2, -1/179 Put 13, 4, 1, 0.5 in ascending order. 0.5, 1, 4, 13 Sort -16, 0.5, -2, 7. -16, -2, 0.5, 7 Put 5, -8, -4, 9, 0 in decreasing order. 9, 5, 0, -4, -8 Sort 269, -1, -5 in descending order. 269, -1, -5 Put -0.4, 22, -1, 3 in descending order. 22, 3, -0.4, -1 Sort 4, -3, -341 in decreasing order. 4, -3, -341 Sort 2/13, 1/6, 3, -0.3, -33 in ascending order. -33, -0.3, 2/13, 1/6, 3 Put 0.4, -0.2, -1/3, -1 in decreasing order. 0.4, -0.2, -1/3, -1 Sort -4, 5, -2, 6 in ascending order. -4, -2, 5, 6 Put -33, 0.3, -0.2 in ascending order. -33, -0.2, 0.3 Put -23, -142, 0.4 in descending order. 0.4, -23, -142 Sort 5, -159, 3, -5 in increasing order. -159, -5, 3, 5 Put -1, -66, 3, 5, 2 in decreasing order. 5, 3, 2, -1, -66 Sort -2, -0.203, 1/6. -2, -0.203, 1/6 Put 2, 0, -3, 6, -7.3 in as
{ "pile_set_name": "DM Mathematics" }
(-5 + 0 + sqrt(396))**2). -183*sqrt(11) + 1281 Simplify -3 + (sqrt(49)/(sqrt(14)/sqrt(2)))**2 + (sqrt(42) + (sqrt(42) - sqrt(504)/(sqrt(192) + sqrt(12) - sqrt(12))))/sqrt(6). 4 + 7*sqrt(7)/4 Simplify 1*(4 + -3*1*(-2 + sqrt(171)) + -5). -9*sqrt(19) + 5 Simplify ((sqrt(320) + sqrt(320) + -1 + sqrt(320) + 2 - sqrt(320) - (sqrt(320) + sqrt(320) + 1 + sqrt(320))*-5)*-5)**2. 40800*sqrt(5) + 2312900 Simplify (sqrt(1458) - (sqrt(1458) - sqrt(1458)*-1))/(-2*sqrt(225)) + sqrt(72)*1*5*-4. -1191*sqrt(2)/10 Simplify (sqrt(450)*4 + sqrt(18))/(sqrt(9) + -1*sqrt(81)). -21*sqrt(2)/2 Simplify -1*(sqrt(51)/(sqrt(6)/sqrt(2)) + (2*sqrt(612) - sqrt(612)) + 0)**2. -833 Simplify (-4 + (sqrt(684)*-4 - sqrt(684)) + sqrt(684) + sqrt(684)*-4 + sqrt(684) + sqrt(684) + 4)**2. 24624 Simplify -4 + sqrt(132)/(sqrt(12)/sqrt(4)) - ((5*(sqrt(11) + sqrt(33)/sqrt(3)))**2 + (3 + sqrt(11)*-2 - sqrt(11))). -1107 + 5*sqrt(11) Simplify ((5*(sqrt(528) + 1*sqrt(528) + sqrt(528)) + sqrt(528))/(-1*sqrt(99)))**2*-3. -4096 Simplify sqrt(20)/sqrt(36) + sqrt(45)/(sqrt(36)/sqrt(4)) + (sqrt(5)*2 + -5 - 5*sqrt(20))**2 + -2. 244*sqrt(5)/3 + 343 Simplify 0 + (sqrt(13) - sqrt(117))*4 + 5 + (sqrt(13) - 2*sqrt(13)) - (2 + 1*sqrt(208) + sqrt(52))**2. -467 - 33*sqrt(13) Simplify ((-2*sqrt(130)*1*2)/((2*sqrt(90) + sqrt(90))*5))**2. 208/2025 Simplify ((sqrt(135) - -1*sqrt(135))/sqrt(3))/(sqrt(9) - sqrt(27)/sqrt(3)*-6)*-6*3. -36*sqrt(5)/7 Simplify (sqrt(114) - sqrt(114)*-3)/sqrt(6) + ((3*sqrt(19) + 5)**2 - sqrt(19)) + -1 + 1. 33*sqrt(19) + 196 Simplify (sqrt(33)/(sqrt(33)/sqrt(3)) + 4)**2 - (sqrt(9)/(sqrt(3) + sqrt(3) + 2*sqrt(363)))**2. 8*sqrt(3) + 3647/192 Simplify -4 + (sqrt(77) + (sqrt(77) - (-6*(sqrt(77) - 3*sqrt(77)) - sqrt(77))))/(4*sqrt(7)*-2). -4 + 9*sqrt(11)/8 Simplify (0 + sqrt(162) + -3 + 5 + sqrt(162)*4 + sqrt(162) + -4)**2. -216*sqrt(2) + 5836 Simplify -1*(0 + sqrt(11)*-1 + (3 + (sqrt(11) + 3)**2 - sqrt(11))). -23 - 4*sqrt(11) Simplify -5 + sqrt(80)/sqrt(4) + 4 + sqrt(320) + -2 + -5. -8 + 10*sqrt(5) Simplify (1 + (sqrt(3) - sqrt(240)/sqrt(5)) + sqrt(3) + sqrt(3))**2 - (sqrt(147) + sqrt(147)*2 + -5 - sqrt(147) - sqrt(147)). -9*sqrt(3) + 9 Simplify -5*(((-6*(sqrt(2057) + -2) + sqrt(2057))**2 - sqrt(2057)) + 0 + sqrt(2057)*1)*5. -1289225 + 33000*sqrt(17) Simplify (1 + (3 + sqrt(3) + (-2*sqrt(27))/sqrt(9))*2)**2. -28*sqrt(3) + 61 Simplify (3*-2*(-1 + sqrt(13)) - ((sqrt(104)/sqrt(2) + sqrt(52) - sqrt(52))*5)/sqrt(4))**2. -132*sqrt(13) + 1609 Simplify (4 + 1 + -5 + -2*sqrt(448)*3 + 1)**2. -96*sqrt(7) + 16129 Simplify ((-1*(-1 + sqrt(32)) - sqrt(32))**2 - (-1*sqrt(384) + sqrt(384) - sqrt(384))/sqrt(12))*-1. -129 + 12*sqrt(2) Simplify (3*((sqrt(2299) + 0)**2 - sqrt(2299)) - (sqrt(2299) + (sqrt(2299)*-1 + 4)**2 + sqrt(2299) + sqrt(2299)))*-4 + -4. -18332 - 88*sqrt(19) Simplify (((sqrt(170) - (sqrt(170) - (sqrt(170) - sqrt(170)*1*-5)))*-6)/(-1*sqrt(360) - (sqrt(50)/sqrt(5) - sqrt(10))*-2))**2. 612 Simplify (-1 + (sqrt(300)*-2 + sqrt(300) + sqrt(300))*4 + sqrt(300) + -2 + 0)**2. -60*sqrt(3) + 309 Simplify (sqrt(7056)*-1*-1)/((sqrt(567) - 4*sqrt(567))*-6). 2*sqrt(7)/27 Simplify -4*(sqrt(190) + (-1*sqrt(190) + sqrt(190))*3 + sqrt(190))/(sqrt(10)*1*-5). 8*sqrt(19)/5 Simplify (sqrt(35)*-6*6)/((sqrt(240)/sqrt(6))/sqrt(8) + sqrt(5))*-2. 36*sqrt(7) Simplify (sqrt(33)/(sqrt(3) - sqrt(24)/(sqrt(8)*-2)) - (1*sqrt(539) + -2))**2. -76*sqrt(11)/3 + 4007/9 Simplify ((sqrt(1539) + (sqrt(1539) - (sqrt(1539) + sqrt(1539)*2))*3)**2 - (-2*(2 + sqrt(1539)))**2)*4. -576*sqrt(19) + 129212 Simplify (6*(sqrt(65) + sqrt(65)*-1*6))/(2*sqrt(320) - (sqrt(5) - (sqrt(5) + 1*sqrt(605)))). -10*sqrt(13)/9 Simplify 3*((sqrt(1100) - (1 + sqrt(1100)))*2 - (((sqrt(77) + (sqrt(77) - sqrt(77)*2) + sqrt(77) + sqrt(77) + sqrt(77) + sqrt(77))*3)/sqrt(7))**2). -4758 Simplify (-2*(sqrt(450) + -4 + sqrt(450) + -5))**2 + 3. -2160*sqrt(2) + 7527 Simplify (sqrt(96)*1 - sqrt(96) - 2*sqrt(24))/((6*(sqrt(9) - -1*sqrt(9)))/sqrt(3)). -sqrt(2)/3 Simplify ((-1*sqrt(143) - sqrt(143))*-2)/(sqrt(176)*5) + (((sqrt(78)*2 + sqrt(78))*4)/(sqrt(60)/(sqrt(10) + sqrt(10)*1 + sqrt(10))))**2. sqrt(13)/5 + 16848 Simplify ((5 + sqrt(252)*-2*-1 + -1 + ((sqrt(252) + -2*sqrt(252))*-5 + sqrt(252) - sqrt(252)))*3)**2. 3024*sqrt(7) + 111276 Simplify 3 + (sqrt(396) - 5*(sqrt(396) + 2*sqrt(396)))/(sqrt(90)/(1*sqrt(10))). -28*sqrt(11) + 3 Simplify 4*(-5 + ((sqrt(216) + 1*sqrt(216) - sqrt(216) - sqrt(216))/sqrt(6) - sqrt(36))/sqrt(12)). -20 - 4*sqrt(3) Simplify (3*(sqrt(209) - (-1*sqrt(209) + sqrt(209))))/((-1*sqrt(77) - sqrt(77))/sqrt(7) + sqrt(11)) + 1. -3*sqrt(19) + 1 Simplify (-5 + (-1 + sqrt(891) + -2)*4 + 1 + -1)**2. -1224*sqrt(11) + 14545 Simplify (-3 + 1*sqrt(468) - (-5 + sqrt(468) + 1 + sqrt(468)) - ((1 + sqrt(468))*-4 + (1 + sqrt(468))*-6))**2. 1188*sqrt(13) + 38029 Simplify ((sqrt(3) + 0)*6 + (sqrt(3) - sqrt(48)))*-2. -6*sqrt(3) Simplify ((sqrt(121) + sqrt(121) + (1*sqrt(121) - sqrt(121))*-6)/(sqrt(99)*4))**2 - (((sqrt(132)*2 + sqrt(132))*-2)/(sqrt(36)/sqrt(3)*4))**2. -220/9 Simplify (2*sqrt(84)*2)/(sqrt(1728) + (-4*sqrt(1728) - sqrt(1728)) + sqrt(1728) + sqrt(1728)). -sqrt(7)/6 Simplify (-1*sqrt(4000))/sqrt(8) + (sqrt(5) + ((sqrt(35) - (sqrt(140) - sqrt(35)))/sqrt(7))**2 + sqrt(5) + sqrt(5))*4 + -2. -2 + 2*sqrt(5) Simplify 1 + 0 + sqrt(15)/(sqrt(30)/sqrt(10)) + 5. sqrt(5) + 6 Simplify -1 + ((sqrt(1300) + -1*sqrt(1300) + sqrt(1300) + sqrt(1300))*-4)**2 + -3 + (sqrt(637)*1)**2 + 3. 83836 Simplify -1 + (-6*sqrt(60)*-5)/(sqrt(972) - (sqrt(972)*-2 + sqrt(972))). -1 + 5*sqrt(5)/3 Simplify sqrt(700) + 1 + 4 - (-5 + sqrt(700) + -1). 11 Simplify (-4 + 1*(sqrt(425) + sqrt(425)*2) + 5)**2. 30*sqrt(17) + 3826 Simplify 0 + (((6*(sqrt(112)*-2 - sqrt(112)) - sqrt(112) - sqrt(112))/sqrt(8))/(sqrt(98) + 3*sqrt(98)*-1 + sqrt(98)))**2. 400/7 Simplify (-3 + 3*-6*(sqrt(300)*2 + -3 + 2*sqrt(300) + 1))**2. -47520*sqrt(3) + 1556289 Simplify ((-2*-1*sqrt(152) + sqrt(152))/(sqrt(64)/(sqrt(72)/sqrt(9))))**2. 171 Simplify 6*-5*((4 + sqrt(605)*-2 + 1)*-4)**2. -1173600 + 105600*sqrt(5) Simplify (5 + 1 + 3*sqrt(60)/(-2*sqrt(12)*-1) + -3)**2. 9*sqrt(5) + 81/4 Simplify ((sqrt(66)/sqrt(2) + sqrt(33))*-5)/(sqrt(88)/(sqrt(16)/sqrt(2) + sqrt(8))). -20*sqrt(3) Simplify (-3*(sqrt(147) + -1)*-3 - (0 + (sqrt(147) - -6*(sqrt(147) + -1))))**2. -84*sqrt(3) + 597 Simplify -6*(-1 + (-2*sqrt(512) + 5 + -3)**2). -12306 + 768*sqrt(2) Simplify (((4 + (sqrt(1053) - (3 + sqrt(1053))) - sqrt(1053))**2 + sqrt(1053) - sqrt(1053)) + sqrt(1053) + (sqrt(1053) - 6*(sqrt(1053)*-1)**2))*6. -31584 Simplify (sqrt(63)/sqrt(28) - (sqrt(72)*-2)/sqrt(8))/(((-1*sqrt(192) - sqrt(192)) + sqrt(192))*6). -5*sqrt(3)/96 Simplify (-4*1*sqrt(6336)*2*5*-6)**2. 364953600 Simplify (-1*sqrt(3024)*-4)/((sqrt(2430) + -2*sqrt(2430))/sqrt(10)). -16*sqrt(7)/3 Simplify (sqrt(700)*-3 + sqrt(700) + -4 + sqrt(700))**2 - (-4 + sqrt(7) + 1*sqrt(7) + 4). 78*sqrt(7) + 716 Simplify (2*(-3 + ((sqrt(132)*2 - sqrt(132)) + sqrt(132))/(-5*(-2*sqrt(11) + sqrt(11)))))**2. -96*sqrt(3)/5 + 1092/25 Simplify (1 + (-3*sqrt(833) + 1 - sqrt(833))*-6 + 3)**2. -672*sqrt(17) + 479812 Simplify (sqrt(950)*-2*5)/(2*sqrt(8)/sqrt(4)*2). -25*sqrt(19)/2 Simplify (1*(sqrt(144) - sqrt(16))*1)/(1*(sqrt(32)*-1 + sqrt(8))). -2*sqrt(2) Simplify -3 + (1*sqrt(1053)*3 + sqrt(1053) - (1*sqrt(1053) + -1))**2. 54*sqrt(13) + 9475 Simplify sqrt(104)/((sqrt(16) - (sqrt(48)/sqrt(3) + sqrt(16)))/sqrt(2))*-6 - (((sqrt(117) + -1 - sqrt(117)) + sqrt(13)*2 + 5)**2 + -3). -65 - 10*sqrt(13) Simplify (sqrt(7) - sqrt(84)/sqrt(3)) + -5 + (((sqrt(42) - -1*sqrt(42))/sqrt(6) + sqrt(7) + sqrt(7))**2 - -1*sqrt(7)*-6). -7*sqrt(7) + 107 Simplify (sqrt(147) + (sqrt(147) - 2*(2 + sqrt(147))**2))*4*2. -2416 - 336*sqrt(3) Simplify sqrt(18)/((sqrt(36)/sqrt(3))/sqrt(2) + sqrt(6)) + sqrt(3) + (sqrt(72)/sqrt(3))/sqrt(8) + 0. 5*sqrt(3)/2 Simplify ((sqrt(91) - -2*sqrt(91))*-6 + -6*sqrt(91)*2)/(sqrt(700)*-1*-5). -3*sqrt(13)/5 Simplify (4*-1*sqrt(189))/(sqrt(6)/(sqrt(2) + -2*sqrt(2))). 12*sqrt(7) Simplify 6*(-1 + -2 + 1 + sqrt(176) + sqrt(176) + -2 + (sqrt(176) + 1)*-2 + sqrt(176))**2. -288*sqrt(11) + 1272 Simplify 3*(-2*sqrt(76))**2 + -2 + 2*sqrt(19) + 2*sqrt(76). 6*sqrt(19) + 910 Simplify 4*((-5*(sqrt(832) + 2 + sqrt(832)) - sqrt(832)) + -6*(-2 + sqrt(832)))**2*6. -13056*sqrt(13) + 5770848 Simplify (sqrt(99) + (sqrt(99)
{ "pile_set_name": "DM Mathematics" }
Round k to five dps. 0.00007 Let a = 170 - 169.842. Let t = 0.158162 - a. Round t to 5 decimal places. 0.00016 Let c = -4.1 + -237.9. Let b = 590 + c. Let o = b - 348.000157. What is o rounded to five decimal places? -0.00016 Suppose w = 4*u + 397596, 14*u - 2*w = 16*u + 198808. Round u to the nearest 10000. -100000 Let s = 127.9 - -34.1. Let q = 112 - s. Let x = -50.193 - q. What is x rounded to two dps? -0.19 Let x = -5959.8 - -5958.39987. Let t = 1.4 + x. What is t rounded to 4 dps? -0.0001 Let m = 0.02 + 0.66. Let q = 0.6800063 - m. What is q rounded to 6 dps? 0.000006 Let g = -3 + 7. Suppose g*x - 4*b = -15944, -5*x + b - 19946 = -0*b. Round x to the nearest one hundred. -4000 Let y be (3 - -104665 - 1) + -2. Let m = y - -31335. Suppose 0*z - 4*z = -m. What is z rounded to the nearest 10000? 30000 Let a = -5.5 - -7. Let t = a - -10.5. Let x = t - 11.22. Round x to one decimal place. 0.8 Let d = -57 - -57. Let x be 6*-201*40/(-36) - d. What is x rounded to the nearest 100? 1300 Let u(t) = -t**2 + 24*t - 4. Let n be u(19). Suppose 0 = -s - 2*o - 30 + n, -216 = -4*s - o. What is s rounded to the nearest 10? 50 Suppose 12*x + 46234350 = -20413650. What is x rounded to the nearest 100000? -5600000 Let d = -5180 + 5150.89. Let y = d - -29. Round y to one dp. -0.1 Let c = 10565204.000072 + -10565261. Let x = c + 57. Round x to 5 dps. 0.00007 Let p(c) = -281*c - 2. Suppose 0*t - 57 = -3*t. Suppose -5*x - t = -9. Let q be p(x). What is q rounded to the nearest one hundred? 600 Let r = 0.2265 + -187.4265. What is r rounded to the nearest ten? -190 Let r = -142 + 60. Let b = 82.78 + r. Round b to 1 dp. 0.8 Let r = -1.2 - 15.3. Let a = -19.7 - r. Round a to 1 decimal place. -3.2 Let y = 2 - 0. Suppose -2*l + 2*h + 16 = 0, -y*h - 6 = 2. Let j(a) = -1248*a - 8. Let s be j(l). What is s rounded to the nearest ten thousand? -10000 Let p = 20.549 - 19.71644. Let i = 8.96354 + p. Let o = 9.8 - i. What is o rounded to 3 dps? 0.004 Let k = 20634342 + -29480342. Round k to the nearest 1000000. -9000000 Let q = -2722.23 + 2739. Let v = 1.27 - q. Round v to zero dps. -16 Let v = -309.999067 + 310. Round v to four decimal places. 0.0009 Let g = -692 + 691.259. Round g to one dp. -0.7 Let f = -378227.550074 - -378139.55. Let u = 88 + f. Round u to 5 dps. -0.00007 Let g be 546/56 + 2/8. Suppose -g*x - 541 = 169. Round x to the nearest 10. -70 Let x = 90537 + -97949.4. Let z = 7412.3500048 + x. Let i = z - -0.05. What is i rounded to 6 dps? 0.000005 Let u = -870 + 1260. Let f = 234 - u. Let j = f - -155.9909. What is j rounded to three dps? -0.009 Let o = 1099373 + -659373. Round o to the nearest 1000000. 0 Let o = -1272467167 - -1272467095.99999785. Let i = 71 + o. What is i rounded to seven decimal places? -0.0000022 Let r = -2.3 + 0.3. Let k = 63048 - 63050.000025. Let o = r - k. Round o to 5 decimal places. 0.00003 Let i = -0.077811 - 18.558589. Let x = i - -18.6. What is x rounded to 2 dps? -0.04 Let d = 1 - -1. Suppose -5*w + d*k + 16058 = k, -w - 3*k = -3218. Let i = w + 2088. What is i rounded to the nearest one thousand? 5000 Let n = -88 - -136. Let l = -47.9999768 + n. What is l rounded to 5 decimal places? 0.00002 Let d = 3107.99997546 + -3108. What is d rounded to five dps? -0.00002 Let y = 24 + -23.41. Let x = -0.6072 + y. What is x rounded to three dps? -0.017 Let g = 1039.8 + -423.5. What is g rounded to the nearest 10? 620 Let x = -3.243 + 0.123. Let a = -2.939 - 0.061. Let w = x - a. Round w to 1 decimal place. -0.1 Let a = 230.09824 - 227. Let c = a + -3.1. What is c rounded to 4 dps? -0.0018 Let o = -2 - -15. Let u be 4/2 + 37699974/o. What is u rounded to the nearest 1000000? 3000000 Let q = -8 + 1. Suppose 7*k + 502 = 61. Let v = k + q. Round v to the nearest one hundred. -100 Suppose -i - 12 = -5*i. Suppose 3*x - 12 = -0*x. Suppose -x*q - 25588 = -4*t - q, -i*t + 19196 = -q. Round t to the nearest 1000. 6000 Let i = 513 - 512.99999346. What is i rounded to six dps? 0.000007 Let a be 20538/(-3) + -2 + 5. Let g = -15043 - a. Round g to the nearest 10000. -10000 Let l = 12 + -8. Suppose 0 = -5*h - 4*q - 74, h - 5*q + 110 = -l*h. What is h rounded to the nearest ten? -20 Let l(f) = -f + 17. Let c be l(11). Suppose c*r - 2*r - 5160000 = 0. What is r rounded to the nearest 100000? 1300000 Let t = -14 - -7.4. Let p = t + 6.647. What is p rounded to 2 dps? 0.05 Let v = 853 - 853.003038. Round v to 4 dps. -0.003 Let b = -31.03036 + 0.06336. Let q = 31 + b. Let m = q - 0.08. Round m to two dps. -0.05 Suppose 12*n = 9*n + 4243467. Suppose -2*j + n - 374489 = 0. Round j to the nearest one hundred thousand. 500000 Let z(d) = -77127*d**2 - 20*d + 43. Let f be z(17). What is f rounded to the nearest 1000000? -22000000 Let j = 0.0252 - 0.02971. What is j rounded to 3 dps? -0.005 Let p = -23 - -23.02. Let n = p - -0.004. Round n to two decimal places. 0.02 Let i = -41.9 + 41.9006714. What is i rounded to four dps? 0.0007 Let a = -0.2382 + 0.231. What is a rounded to three decimal places? -0.007 Let f = 295.9 - 269. Let i = 27 - f. Let p = 0.16 - i. What is p rounded to 1 dp? 0.1 Let a = -0.168 + -35.817. Let m = 15 - -21. Let s = a + m. Round s to two dps. 0.02 Let u = 392 - 392.000000774. Round u to 7 dps. -0.0000008 Suppose -y + 16 + 16 = 0. Let g be 2/8 - 8/y. Suppose p + g*p = 4, 2*q - p - 246 = 0. Round q to the nearest ten. 130 Suppose -249 = -5*y - a, 4*y = -y - 5*a + 265. Let m(o) = -o**3 - 7*o**2 - 5*o - 8. Let q be m(-6). Let b = q + y. What is b rounded to the nearest ten? 40 Let k = -1735 + 1755.78. Let x = 0.38 - 21.38. Let a = k + x. Round a to one decimal place. -0.2 Let t = -35 + 16. Let f = 10 + t. Let u(l) = 633334*l + 6. Let o be u(f). Round o to the nearest one million. -6000000 Let h = 1388 + -1388.10945. Round h to 2 dps. -0.11 Let q = -395626.76199918 - -395626.8. Let o = -0.038 + q. What is o rounded to 7 dps? 0.0000008 Let a be 66/(-10) + (6 - (-27)/(-5)). Let o be 5/2*a*(-2262)/9. What is o rounded to the nearest one hundred? 3800 Suppose 40 = 4*a - 28. Let h(i) = -8998*i**2 + 26*i - 20. Let p be h(a). Round p to the nearest one hundred thousand. -2600000 Let h(p) = -4427*p - 7. Let u(r) = -4428*r - 8. Let i(l) = -5*h(l) + 4*u(l). Let n be i(-1). Round n to the nearest 100. -4400 Let u(i) = i**3 + i**2 + 32*i + 145. Let v be u(-5). Round v to the nearest one hundred. -100 Let r = 128417928 + -77477928. Round r to the nearest 1000000. 51000000 Let d = -0.024581138 - -13.524582338. Let r = -13.5 + d. Round r to 6 dps. 0.000001 Suppose 2*i - 4*i - 2*o = 10, 0 = 2*i - 3*o - 15. Suppose i = -4*m - 9090018 - 1389982. What is m rounded to the nearest 100000? -2600000 Let u = 9579 - 14768. Round u to the nearest one hundred. -5200 Let a = 0.8888962 - 0.889. Round a to five dps. -0.0001 Let v = 11 + -0.64. Let u = v + -9.849. What is u rounded to 1 dp? 0.5 Suppose 1 = -2*m + 19. Let w be m/(-3) + (6 - 1600003). Round w to the nearest one million. -2000000 Let k = 74 - 63. Let m = -163180.26780039 + 163169.2678. Let p = k + m. What is p rounded to 7 dps? -0.0000004 Let f = -8640.49 - -8747. Let m = 107 - f. What is m rounded to 1 dp? 0.5 Let l = -18 + 17.95. Let q = l + -5.35. What is q rounded to the nearest integer? -5 Let n = 1310 + -1309.999997189. What is n rounded to 7 decimal places? 0.0000028 Let x = 65 + -30. Let f = 0.261 - -31.139. Let d = f - x. Round d to zero decimal places. -4 Let s = 9796 + -16518. Round s to the nearest one thousand. -7000 Suppose -1 = r, -v = 3*v - r + 194639. Round v to the nearest 1000. -49000 Let u be 6/(-10) - (-106)/10. Let d = u - 8. Suppose 5*q - 2*i = -0*i + 7549998, d*q - 5*i = 3019995. Round q to the nearest 100000. 1500000 Let p = 20 + -18.7. Let w = p - 2. Let c = 0.700063 + w. What is c rounded to 5 dps? 0.00006 Let o = -97295.8073 + 97302. Let b = o + -6.2. What is b rounded to three dps? -0.007 Let b = 56950.7967 - 56974.8. Let t = b - -24. What is t rounded to 3 dps? -0.003 Let g = -0.064 - 5.536. Let d = 0.13712 + 5.43988. Let v = d + g. Round v to 2 decimal places. -0.02 Let q = 170.57 - 171. Let x = 978.13 - 983. Let k = q + x. Round k to the nearest integer. -5 Let b be -2*(-3 - -8)*-6. Let k = b + -36. Let j be ((-56)/k)/(2/(-48000)). What is j rounded to the nearest 10000? 60000 Let
{ "pile_set_name": "DM Mathematics" }
v + -105. Let j = -23 - f. What is the third smallest value in 0, j, -54? 0 Let u be (6 + -22 + 15)*7. What is the second biggest value in -2/3, u, 163? -2/3 Let y = -57.75 + 49.5. Let i = y + 12.65. What is the smallest value in 3/7, -2, 0.1, i? -2 Let i = 29 - 28.1. Let x = -355 - -349. Which is the second smallest value? (a) i (b) -0.4 (c) x b Let n(t) = -14*t**3 - 2*t**2 + 1. Let p be n(-1). Suppose -17*r = 21 + p. Let s = -0.9 - -4.9. Which is the third smallest value? (a) r (b) 3/7 (c) s c Let k = -0.08312 + -0.01688. Let s = -152/1495 - 6/115. Let y = 24 + -121/5. What is the third biggest value in -5, s, k, y? y Let z(n) = -328*n + 1310. Let u be z(4). Which is the fifth smallest value? (a) u (b) 4/5 (c) -36 (d) 0.5 (e) 0.4 b Let u = 2.9 + -3. Let t(w) = -115*w**2 - 3907*w + 101. Let h be t(-34). Which is the third biggest value? (a) h (b) -122 (c) u b Let x = -12/18115 + -44059/213757. Let r = x - -2/295. What is the biggest value in 35, r, 2, 4? 35 Let l = 5425.5 - 5426. Which is the biggest value? (a) 41.41 (b) l (c) 2/13 a Let q = 0.1056 + 0.2944. Which is the fourth biggest value? (a) -0.04 (b) q (c) 0.04 (d) -3 (e) 5 a Let o = 323771 + -323774. Let p be (12/(-110))/(3/15). Let k = -100/143 - p. Which is the third biggest value? (a) 5/12 (b) k (c) o c Let p = 0.2 - 0.4. Let b = -0.2 - p. Let j = 97/12 - 95/12. What is the second smallest value in j, -0.1, b? b Let v = -28926 - -28926.2. What is the biggest value in -5, 0.01, v, 3/8, 3? 3 Let s = 37.53 - 37.83. Let t = -1.1 - -0.6. What is the fourth biggest value in t, s, -1/4, -4? -4 Let g = 0.23 + 2.67. Let n = -4.137 + 0.137. What is the second smallest value in g, n, -0.5? -0.5 Let h be ((-1162)/70 - -15) + 2. Which is the second smallest value? (a) h (b) 5 (c) 16 b Suppose -9*f + 896 = -7*f. Let q be (f/6 - 3) + (-2)/(-6). Let o = -361/5 + q. Which is the third smallest value? (a) -2/17 (b) o (c) 2/15 c Let k = -54 - -35. Let l = -101514.7 - -101515. Which is the second smallest value? (a) l (b) -0.2 (c) k b Let v be 0/(-12) + 6 + -2137. Which is the smallest value? (a) -5 (b) v (c) 1 (d) -4 b Let o = 781 - 784. Let x be (-3)/20*(-5)/2. Let j = 22 - 19. Which is the fourth biggest value? (a) o (b) -1/4 (c) x (d) j a Suppose -575*m - 20 = -578*m + 2*y, 0 = 7*m - 2*y - 20. Let h = -19/2 - -33/4. What is the second biggest value in 2, -2/19, h, m? m Let q be (-5)/2*-2*(-9)/(-1800)*-4. Which is the third smallest value? (a) -1/4 (b) q (c) 0 (d) -3/4 b Let d = 40.272 - 43.272. Let i = 11 - 5. What is the fourth biggest value in -5, i, d, -0.2? -5 Let l = 355.94 + -356. Let z = 30 - 30.2. What is the third smallest value in 0.3, l, z? 0.3 Let z = -0.9 - -5.9. Let y = 3541 - 3537. What is the fourth smallest value in y, -4, z, 6/7? z Let w = -11892 + 11806. Which is the third smallest value? (a) 0 (b) -3/4 (c) w (d) 4 (e) -5 b Let s = -7552 + 7544. Which is the smallest value? (a) s (b) 0.138 (c) -0.1 (d) -3/5 a Let o = 0.059 + 3.001. Let s = o + -2.06. Which is the smallest value? (a) -3 (b) s (c) 2/9 a Suppose -4965*j + 4883*j = 328. Which is the biggest value? (a) 1 (b) j (c) -0.0697 a Let p be (4 + -4)/(-1) + 39/10. Let y = p - 253/70. Which is the second biggest value? (a) 0.5 (b) y (c) -1/2 b Let j = 18037 - 18138. Which is the third biggest value? (a) -5 (b) 1/6 (c) -2 (d) j (e) -1 c Let l = -60 + 53. Let o = -3 - l. Let x be (2 + -1)*(-4 - -1). Which is the biggest value? (a) x (b) 0.2 (c) -5 (d) o d Let u(b) = -2*b + 21. Let y be (-9)/12 + 8/(-32). Let p be -14 - -17 - (-5 + y). Let o be u(p). What is the third biggest value in o, -0.5, 0.1? -0.5 Let f = 191.608 + 0.392. Let g = f - 191. What is the fourth biggest value in 5, -2/7, -4, g? -4 Let i = -26 - -21. Let s be (6/(-255))/(((-4)/4)/i). Suppose -c = 3*c. What is the smallest value in 5, s, 4, c? s Let i = 2.3 - -324.7. Let x = i - 327.4. Which is the third smallest value? (a) -4 (b) -2/17 (c) -7 (d) x d Let m(f) = f**3 - 6*f**2 - 4*f + 9. Let b be m(6). Let z = 1/629 + -1267/5661. What is the second biggest value in b, z, 1? z Suppose -120 = -3*r - r. Let z = r + -209/7. Let g = 7019 - 7019.7. What is the fourth smallest value in -4, 2, g, z? 2 Let o be (-1435)/280 - 3/(-24). Which is the second smallest value? (a) 0.3 (b) 1 (c) 2/23 (d) -0.3 (e) o d Let q = -2483 - -2483.5. What is the smallest value in -1, -3, 1/6, q, -5? -5 Let m = 14270.2 + -14270. Which is the fourth smallest value? (a) -5 (b) -14/9 (c) -1/4 (d) m (e) 0.4 d Suppose 3*a + 18 = -3*q, 4*q + 2*a - 33 + 43 = 0. What is the third biggest value in 0, q, 15, -4? 0 Let q be (5*6/15)/((-28)/(-21)). Which is the fourth biggest value? (a) q (b) 2 (c) -2.1 (d) -5 d Let k = 425 + -761. Let m = -350 - k. Which is the smallest value? (a) m (b) 5 (c) -0.2 a Let s = 10858.51 + -10857. Which is the third biggest value? (a) s (b) -3 (c) 1 b Let h = -5/383 + 811/3447. Which is the third smallest value? (a) h (b) -24 (c) 2/3 c Let m = -0.11887 + 0.21887. Which is the smallest value? (a) 8/9 (b) m (c) 28 b Let n = -8.5 + 592.5. Let c = n - 552. Let g = 0.1 - 0. What is the third biggest value in -2/5, c, g? -2/5 Suppose 0*n = -n - 5. Let f be ((-5)/165)/(2*(-2)/24). Which is the third smallest value? (a) n (b) f (c) 3 (d) -0.5 b Let u(y) = 26*y - 59. Let q be u(8). Let x = q + -144. What is the third biggest value in -2, x, 3, -10? -2 Let f = 69 + 52. Let m = f + -124. Let x = 16.2 + -1.2. Which is the smallest value? (a) m (b) 5/2 (c) 1/7 (d) x a Let v(h) = -h**3 + 29*h**2 + 128*h + 121. Let n be v(33). What is the fourth biggest value in -3, n, 1/3, 4? n Let o = 40/343 - 12325/120393. Let a = o - -151/351. Let r = 3 + -5. What is the second smallest value in r, -1/3, a? -1/3 Let l = 4/427 + 722/14091. Let v = -17/99 + l. Which is the fourth smallest value? (a) v (b) 0.29 (c) -2 (d) 2/9 b Suppose -4*j + 5*j - 408 = -7*j. What is the biggest value in 6, j, 5? j Let g = 0.23 - 2.13. Let s = 1.7 + g. Suppose 0 = 3*d - 3*q - 9, -q - 4*q = -2*d + 15. What is the second biggest value in d, 1/6, s? d Let x = -169.895 + -0.105. Let f = x - -182. Which is the third biggest value? (a) f (b) 3 (c) 0 c Let i = 2.47 + -51.47. Let t = i + 49. Which is the third smallest value? (a) -2 (b) 27 (c) t b Suppose 4*p + 86 = 3*j + 396, -10 = 5*j. Let i = 149/2 - p. Let s = 3.68 - 3.18. Which is the second smallest value? (a) -2/13 (b) -3 (c) i (d) s c Let y = -3.99219 - 0.00781. Which is the smallest value? (a) 0.17 (b) 2 (c) y (d) -1 (e) -5 e Let r = 16312 - 16311.6. What is the smallest value in -1/41, -3/2, r, 23/4, -0.3? -3/2 Let p = 78.93316 - -0.06684. Suppose 12 = -24*n + 21*n. Which is the third smallest value? (a) -3 (b) -3/7 (c) n (d) p b Suppose 6 - 18 = 3*g - 3*n, -5*g - 19 = -4*n. Let i = 3.7 + -4.1. Let y = i - -0.04. What is the biggest value in 0.3, y, g? 0.3 Let p = -1.96 + 2. Let d = p - 0.34. Let w = 14372.1 - 14371. What is the fourth biggest value in -1/3, d, w, -1/5? -1/3 Let s = 1434 - 1657.7. Let i = -224 - s. Let u = 0.9 + 0.1. Which is the third smallest value? (a) i (b) u (c) 2/9 b Let o = 1630 - 1627. Which is the fourth smallest value? (a) 4 (b) o (c) 62 (d) -2/7 c Let q = -8.9 + 9. Let r(t) = 4*t**2 - 3*t + 2. Let g be r(1). Let p be (-4 - -17) + -1 + g. What is the smallest value in p, 4/5, q? q Let w(i) = i**3 + 7*i**2 - 21*i - 102. Suppose 11 - 3 = -f + 3*o, 0 = -2*f - 4*o - 16. Let b be w(f). What is the third smallest value in b, 3/7, 13? 13 Let t = -3149 - -3264. Which is the second smallest value? (a) t (b) -27 (c) 1/7 c Let s = -3073.1 - -3072.1. Which is the second biggest value? (a) 1/3 (b) -0.7 (c) -0.1 (d) s (e) -0.02 e Let g = 1.35 - 164.35. Let v = g - -164. Which is the third smallest value? (a) v (b) 2 (c) -7 b Let g = -765.7 + 765.87. Which is the second smallest value? (a) 3 (b) 0.1 (c) g (d) -0.1 b Let k be ((-4)/6)/(((-5)/180)/((-5)/15)). What is the second biggest value in 0.4, k, 0.167? 0.167 Let q = -453 - -454. Let x = -18.8 + 18.7. What is the second biggest value in x, -0.4, q, 4? q Let f = 386 - 2315/6. Let s = 86 + -86.48. Which is the fourth biggest value? (a) f (b) 0.5
{ "pile_set_name": "DM Mathematics" }
-12 in 8, -0.01, 1? -0.01 What is the nearest to -6 in 2, -8, 0.61? -8 What is the nearest to -5 in -2, -0.1, 3/7, 16, -4? -4 What is the nearest to 11 in 0.3, -0.033, -0.5, 0, 2/11? 0.3 Which is the nearest to -1.88? (a) -0.2 (b) 2 (c) 2/5 (d) 6 a Which is the nearest to -14? (a) 0.04 (b) 6/7 (c) 27.5 a Which is the nearest to 2? (a) 1 (b) -0.2 (c) 5 a Which is the nearest to 3/5? (a) 15 (b) 1/3 (c) 35 (d) -0.1 b What is the nearest to -63 in 4, 2, -1/6, -20? -20 What is the closest to 48 in -7, -1, 4, 3, 0.4? 4 What is the closest to -1/45 in 3/2, -3.9, 3, -4, 8? 3/2 Which is the nearest to -2? (a) -12011 (b) -3 (c) 1 b What is the closest to 736/15 in 3, 0.1, 0.2? 3 What is the nearest to 1/2 in 23, 1/6, -12, -0.6, 2? 1/6 What is the nearest to -0.2 in -0.09, 9, -2/5, 1? -0.09 What is the closest to 8 in 1/2, -1.1, 0.36, 1/5? 1/2 Which is the closest to 2? (a) -3 (b) -31 (c) 2/5 (d) 16 (e) 4 c Which is the closest to 0? (a) 0.08 (b) -12 (c) 7 (d) 0.4 a Which is the closest to 2? (a) 2/39 (b) -3 (c) 5 (d) -0.55 a Which is the closest to -0.1? (a) 23 (b) -82/5 (c) 1/15 c Which is the nearest to 4/139? (a) 0 (b) -2 (c) 4 a What is the closest to 0.1 in -0.2, 0.062, -4, 98? 0.062 Which is the nearest to -6? (a) 3 (b) -6 (c) -0.4 (d) 15 b What is the nearest to 0.1 in 1, -4, 5095? 1 Which is the nearest to -2/7? (a) -18 (b) -0.5 (c) -8/3 (d) -29 b What is the nearest to 25/7 in 0, 1/60, 1/10, -7? 1/10 What is the closest to 12893 in -1/7, -0.1, -2/5, 2? 2 Which is the closest to 7/2? (a) 62 (b) 0.2 (c) 0.5 c What is the closest to 9 in -7, 8/3, 5, -1, 2/3? 5 What is the nearest to 1.4 in 2, -1/5, -2/3, -0.09? 2 What is the closest to 1/5 in -4, 4, 3.71, -2/5? -2/5 Which is the closest to -0.06? (a) 0.3 (b) 0.1 (c) 18 b What is the nearest to -0.1 in 5.3, 2/13, -268, 0.5, 0.3? 2/13 Which is the nearest to -2/3? (a) -0.47 (b) 14.6 (c) 4 (d) -4 a What is the closest to -4 in 1/9, -0.3, -1.8? -1.8 What is the nearest to 9 in 1/67, -0.2, -1/4, 25, 3? 3 Which is the closest to 1/2? (a) -0.5 (b) 0.3 (c) -4/53 (d) -0.1 (e) -40 b Which is the closest to 0.7? (a) -6/29 (b) 2/3 (c) -2/5 b What is the closest to 5 in -19, 15, 2, -0.4? 2 Which is the nearest to -2/5? (a) 0.1 (b) 672 (c) -2/19 c Which is the nearest to 0.2? (a) 0.3 (b) 2643 (c) 4 (d) 1 (e) 3 a What is the nearest to -2/5 in 0.3, 0.4, -5, -5052? 0.3 What is the nearest to -3/8 in 9, -4, -6/7? -6/7 Which is the closest to 1243? (a) -1/7 (b) -1/44 (c) -1/9 b What is the nearest to 2/7 in -0.2, 1, 1/4, -66/13, 2? 1/4 Which is the closest to 0.1? (a) 4 (b) -0.025422 (c) 0.5 b Which is the nearest to 0? (a) -3 (b) 48/985 (c) 2/5 b What is the nearest to 31 in 5, 0.5, 47498? 5 What is the nearest to 0.2 in -6, 11791, 4, -0.1? -0.1 Which is the closest to 1? (a) -0.12 (b) 0.1 (c) 184.7 (d) -3 b What is the closest to -70 in 4, -4, 2, 0? -4 Which is the closest to 1? (a) -2/3 (b) -0.09 (c) -0.4 (d) -44 b Which is the closest to -73? (a) -2/19 (b) -4 (c) -1/7 b Which is the nearest to -2/5? (a) 0.0011166 (b) -1/2 (c) -4 b Which is the closest to -1/4? (a) -0.4 (b) 113 (c) -6 (d) -5 a What is the closest to -59.81 in 0.1, -4, 1? -4 What is the closest to 0.1 in 10, 171, -2/11, 1? -2/11 What is the closest to -9 in 4/5, -3/10, -0.05? -3/10 Which is the nearest to 2? (a) -0.6 (b) -51 (c) 0.5 (d) 2 d What is the nearest to -4 in 8/9, 2/19, 1/10, -4, -3/2? -4 Which is the closest to 0.2? (a) -4 (b) -1/6 (c) 15 (d) 6/5 (e) 1 b Which is the nearest to 2/7? (a) -5 (b) -8546 (c) 1 c Which is the closest to -1? (a) -3 (b) -0.3 (c) 4 (d) 74 (e) -1 e What is the nearest to 20 in 2/5, 0.5, 6, -68? 6 What is the nearest to 2/1543 in 8, 1, 7? 1 What is the nearest to -79/5 in 28, 4, 2/19? 2/19 Which is the closest to 6/311? (a) 6 (b) 5 (c) 1 c Which is the closest to 13045? (a) -1/3 (b) -2 (c) -5 a Which is the closest to -1/2? (a) -297 (b) 12 (c) -5 c What is the closest to 2 in 6/31, 0.5, 1/10? 0.5 Which is the closest to 0.2? (a) 13 (b) -2/17 (c) -0.0637 c Which is the nearest to -2/5? (a) -2 (b) 32023 (c) 9 a Which is the nearest to 11/5? (a) -1 (b) -76/11 (c) 0.2 c What is the nearest to 1/46 in -95, 2, -2, -0.5? -0.5 What is the nearest to -0.1 in 1/3, -4, 4, -20? 1/3 What is the closest to 0.1 in 4, -7, -25, 0.7? 0.7 Which is the nearest to 16/197? (a) -7/34 (b) 3/8 (c) -0.2 c What is the closest to -5 in -2/45, -1, -86, 1/5, 3/22? -1 What is the nearest to 1097.1 in -0.2, -8, 2/9? 2/9 What is the nearest to -0.1 in 0.4, 9941, 0.1? 0.1 Which is the nearest to 1? (a) 3 (b) 0.1 (c) -2/48639 (d) -2/9 (e) -0.2 b What is the closest to 1711 in -0.4, 5/4, 0.4? 5/4 Which is the nearest to 514? (a) -2/9 (b) -108 (c) -2/11 c Which is the closest to 2? (a) -1 (b) -0.3 (c) -1/5 (d) 6 (e) 184.4 c What is the nearest to -2/7 in 1/2, 0.36, -95, -5? 0.36 Which is the nearest to 87/46? (a) 3/4 (b) 5 (c) -1/8 (d) 3/2 d What is the closest to -2/143 in -4, -0.191, -1? -0.191 What is the nearest to 1 in -4, -0.5, -998? -0.5 What is the nearest to -0.1 in -3, 14, 0, 0.5? 0 Which is the nearest to 0.2? (a) 5/43 (b) 5 (c) -0.3 (d) 0.1 a Which is the nearest to -0.1? (a) -3/422 (b) -0.3 (c) 15 a What is the closest to 0.03 in -1/2, 2344, 1/4? 1/4 Which is the nearest to 1? (a) -4 (b) 0.3 (c) -3/2044 b What is the nearest to 135 in 3, 1, -36/11? 3 What is the closest to -3 in 0.5, -2/61, 0.06? -2/61 Which is the closest to 0? (a) 0.2 (b) -8 (c) 5 (d) 51 (e) -1/10 e What is the nearest to 1/4 in 51, 1, -2/11, 3, 48? -2/11 Which is the closest to -1? (a) -58 (b) 8.7 (c) 0.3 (d) -0.1 d Which is the nearest to -1? (a) 3 (b) -4 (c) -757/6 (d) 2/3 (e) 1/6 e What is the nearest to 13 in -292, 5/2, 1/4, 1? 5/2 What is the nearest to -0.5 in -1, 0.4, 3, 1.1? -1 What is the closest to 2/3 in -1, -68242, -5? -1 What is the closest to -719 in 2/9, 2/53, -2/3? -2/3 What is the nearest to 4 in 3, -141/4, 6? 3 Which is the nearest to 0.1? (a) 237.5 (b) 3 (c) -5 (d) -1 d What is the nearest to -2 in -203, -502, -3/4? -3/4 What is the nearest to 1/2 in 0.1677, 1/3, -3, -5, 3/4? 1/3 Which is the nearest to 0? (a) -1/9 (b) 140 (c) 152 a What is the nearest to -352 in 1, -2/21, 0? -2/21 Which is the nearest to -1? (a) -69 (b) -1/9 (c) -5 (d) -413 (e) -0.4 e Which is the closest to -1? (a) -7/3 (b) -27.7 (c) -3 (d) 1/6 (e) 5 d Which is the nearest to -8.2? (a) 0 (b) -4 (c) -0.08 (d) -0.1 (e) 3/4 b Which is the nearest to 0.1? (a) -0.5 (b) -1 (c) 103 (d) -0.24 d Which is the closest to -50? (a) 122 (b) 0 (c) -2 (d) 0.6 c What is the closest to -0.1 in -0.15, -71/5, 2? -0.15 Which is the closest to 3/4? (a) 7 (b) 1/4 (c) 2322 (d) 0.4 d Which is the nearest to 3/4? (a) 1 (b) -0.5 (c) -148/3 a What is the closest to -0.41 in -0.2, -2, -113, 2/3, -0.9? -0.2 Which is the closest to 0.1? (a) 5 (b) 1/54 (c) 6 (d) 2/37 d What is the closest to 31 in -18, 0.005, -2? 0.005 What is the nearest to 0 in 0.01, -6, -2.4, -1/39, -2? 0.01 Which is the nearest to 0.2? (a) 2/45 (b) 27 (c) 196 a What is the closest to -58 in -2/5, 9, 0.03? -2/5 What is the closest to 0.04 in -5, 11, -1/2, 20, -0.3? -0.3 Which is the nearest to 2? (a) 9 (b) -3/4 (c) 16/29 (d) 1 d What is the nearest to 0.8 in 1, -8, 41/2? 1 What is the closest to -1 in -2, -1, -2/3, -3318? -1 What is the closest to 1 in 0.07, -2/67, 9, -3, 6? 0.07 Which is the nearest to -41/3? (a) -2/11 (b) -1/90 (c) 2/7 a Which is the nearest to 3? (a) 0.051 (b) -2 (c) 0.043 (d) -1 a Which is the closest to 0.2? (a) -0.2 (b) 11/5 (c) 72 a Which is the nearest to -2/7? (a) -2/7 (b) -5070 (c) -2 a Which is the closest to 172? (a) 0 (b) 4 (c) 5 (d) -1/18 c What is the closest to 4/5 in -0.4, -0.5, -3278, -0.3? -0.3 What is the nearest to -372 in 2, 1/6, 0, -0.1, 5? -0.1 Which is the nearest to -2? (a) 4 (b) -2 (c) -3/7459 (d) 0.3 b Which is the closest to 1/5? (a) 1 (b) 1/5 (c) -50059 b What is the nearest to 0 in 0.94, -2/3, 1/5, -0.74, -2? 1/5 What is the nearest to -1/3 in 0.8, 119, 0, -2? 0 Which is the nearest to -1? (a) 23809 (b) -1/8 (c) 3/5 (d) 1 b What is the neare
{ "pile_set_name": "DM Mathematics" }
*6/360 + c**3/6 + 2*c**2. Let u(k) be the first derivative of v(k). Find the third derivative of u(n) wrt n. 120*n**2 Suppose 7*p + 5 - 5 = 0. Let d(l) be the second derivative of 0 + 2*l + 1/6*l**3 + 0*l**4 - 1/5*l**5 + p*l**2. Find the second derivative of d(v) wrt v. -24*v Let c(b) = -48*b + 21. Suppose -l - 10 = -6*l. Let x(u) = 1 + l - 5*u - 2*u. Let j(g) = 4*c(g) - 27*x(g). Find the first derivative of j(h) wrt h. -3 Suppose 4*b + 8 = 8*b. What is the second derivative of -3*f + 2*f**2 - 5*f**b + 0*f wrt f? -6 Suppose m = -4 + 6. Let p be 92/22 - 4/22. Differentiate p*w**2 - 1 - 3*w**m - 2*w**2 with respect to w. -2*w Let u be 2/10 + (-52)/10. Let k = -3 - u. What is the second derivative of 0*f**2 + f**k - f - f - 2*f**2 wrt f? -2 Let o = 4 + -4. Suppose o = u - 2 - 1. What is the derivative of -2*f**u - 1 + 5*f - 5*f wrt f? -6*f**2 Find the second derivative of 0*c + c**3 - 4*c**3 + 2*c wrt c. -18*c Let u(y) be the third derivative of -1/3*y**3 + 0*y**4 - 1/30*y**5 + 0 - y**2 + 0*y. Differentiate u(v) with respect to v. -4*v Let t(n) be the second derivative of 1/4*n**4 + 0 + 2/15*n**6 + 0*n**2 + 0*n**5 + 0*n**3 + 2*n. Find the third derivative of t(x) wrt x. 96*x Let x(r) = -7*r**3 - 2*r + 5. Let m(a) = -6*a**3 - 3*a + 4. Let c(n) = -2*m(n) + 3*x(n). Differentiate c(h) with respect to h. -27*h**2 Let t(i) be the first derivative of -18*i**5/5 + 14*i**3/3 + 39. What is the third derivative of t(l) wrt l? -432*l Suppose -4*x = -2 - 6. Let r be 3/2 + 3/x. Find the second derivative of r*f + 3*f**2 + 2*f - 3*f wrt f. 6 What is the derivative of -3 + 4 - 7 - b**2 - 3*b**2 wrt b? -8*b Suppose 0*k + 2*k = 4. Find the second derivative of t + 0*t + t**5 + 4*t - k*t wrt t. 20*t**3 Let s(r) be the second derivative of -r**6/6 - 4*r**3/3 + 9*r. What is the second derivative of s(c) wrt c? -60*c**2 Let w(t) = -t**3 - 5*t**2 - 4*t + 4. Let p be w(-4). What is the second derivative of -3*z - 2*z**p + 0*z**4 + z wrt z? -24*z**2 Let h(b) be the second derivative of -b**4/12 + 4*b**2 + 5*b. Differentiate h(v) with respect to v. -2*v Let y(z) = -z**3 + z**2 - z + 1. Let x(u) = 38*u**4 + 4*u**3 - 24*u**2 + 4*u - 4. Let b(i) = x(i) + 4*y(i). Find the third derivative of b(v) wrt v. 912*v Let j(g) be the first derivative of -15*g**4/4 + 11*g**3/3 - 12. What is the third derivative of j(y) wrt y? -90 Let f(s) be the third derivative of s**4/24 + 7*s**3/6 - 2*s**2. Let y be f(-5). Find the third derivative of -m**5 + 2*m**y - 4*m + 4*m wrt m. -60*m**2 Let p be 1 + -1*1*-2. Let m be ((-3)/(-2))/(p/6). Differentiate -2 + 0 - 2*n**m + 3 with respect to n. -6*n**2 Let m = 4 + 4. What is the first derivative of 7 + 5*a**4 - 4*a**4 + m*a**4 wrt a? 36*a**3 Let c(b) = -1. Let w(g) = 3*g**2 - 5*g - 3. Let o(m) = 6*c(m) - 2*w(m). Find the second derivative of o(t) wrt t. -12 Let l(v) be the second derivative of -3*v**7/7 - 5*v**4/3 + 13*v. What is the third derivative of l(k) wrt k? -1080*k**2 Let q(k) be the first derivative of -k**7/840 - k**6/120 + k**3/3 - 1. Let r(o) be the third derivative of q(o). Find the third derivative of r(j) wrt j. -6 Let d = 21 - -4. Differentiate g**4 - 25*g**3 + 5*g**4 + 6 + d*g**3 with respect to g. 24*g**3 What is the derivative of 3 - 1 - 3 - 2*t**3 - 2*t**3 wrt t? -12*t**2 Let y(a) = 66*a - 144. Let i(m) = -5*m + 11. Let r(k) = -27*i(k) - 2*y(k). Differentiate r(n) wrt n. 3 Let c(a) = a**5 + 3*a**3 - 3*a**2 + 18*a - 3. Let u(s) = s**3 + s**2 + 1. Let g(m) = c(m) + 3*u(m). What is the second derivative of g(b) wrt b? 20*b**3 + 36*b Find the second derivative of -3*y**2 + 2*y**2 - 4*y**2 + 2*y + 4*y**2 wrt y. -2 Let x(h) be the first derivative of h**2/2 + 4. Let k be x(0). What is the second derivative of k*m**4 - m - m**4 + 2*m**4 - m wrt m? 12*m**2 Let a(y) = 8*y**4 + 13*y**3 - y**2 + 13. Let c(d) = 2*d**4 + 3*d**3 + 3. Let v(h) = 6*a(h) - 26*c(h). What is the third derivative of v(z) wrt z? -96*z Suppose -2*t + 1 = -t. What is the derivative of 3*x - 7*x + t + x wrt x? -3 Let j = 2 + -1. Suppose -5*w - 4*n + 25 = 0, -5*n + 7 = -3*w - 3*n. Differentiate j + w - 3*i**3 + 3 with respect to i. -9*i**2 Let o(s) = -4*s**3 - 2*s**2 + 4*s. Let x(c) = -c**2 - c. Let b(q) = -3*o(q) - 12*x(q). Find the third derivative of b(d) wrt d. 72 Let n be (8/(-14))/((-2)/7). Find the third derivative of 9*f**4 + 5*f**2 + 7*f**4 + 0*f**n - 8*f**4 wrt f. 192*f Let q = 11 - 17. Let z be (-2)/q - (-15)/9. What is the third derivative of -y**z + y**3 - y**2 + y**2 wrt y? 6 Let u be (-1 + (-8)/(-2))*-1. Let s(p) = 2*p**2 + 5*p + 2. Let b be s(u). Find the third derivative of -3 - d**b - 2*d**2 + 3 wrt d. -60*d**2 Let b(i) = -3*i**3 - 7 + 6*i**3 + 0*i**3 - 3*i**4 + 3*i. Let n(a) = 3*a**4 - 4*a**3 - 4*a + 8. Let c(m) = 4*b(m) + 3*n(m). What is the derivative of c(u) wrt u? -12*u**3 Let t(j) be the first derivative of j**7/280 - j**6/360 + 2*j**3/3 + 2. Let d(u) be the third derivative of t(u). What is the third derivative of d(r) wrt r? 18 Let n(c) be the first derivative of 0*c**2 - 2/3*c**3 - 2*c + 2. What is the first derivative of n(h) wrt h? -4*h Let k(i) = 23*i**2 + 4*i + 8. Let g(m) = 22*m**2 + 3*m + 7. Let b(a) = -4*g(a) + 3*k(a). What is the derivative of b(f) wrt f? -38*f Suppose -l + 4 = -2*l. Let v = l - -6. What is the third derivative of 0*a**3 + 0*a**2 + 2*a**v + 2*a**3 wrt a? 12 Suppose 0 = 2*r + a + 29, -5*r = -0*r - a + 55. Let k be r/30 + 22/5. What is the second derivative of -3*g**k + 4*g - 5*g + 4*g**4 wrt g? 12*g**2 Let n = 0 + -9. Let x(o) = -o**2 - 10*o - 5. Let b be x(n). Find the third derivative of -2*p**2 - p**b + 2*p**4 + 4*p**2 - 4*p**4 wrt p. -72*p Let u(p) be the first derivative of -4*p**5 - 4*p**2 + 30. What is the second derivative of u(k) wrt k? -240*k**2 Let o(j) = -j**2 + j + 2. Let m be o(2). Differentiate m + 0 + 3*d**3 - d**3 - 3 wrt d. 6*d**2 Let n(p) be the third derivative of 7*p**6/120 - 5*p**3/2 - 10*p**2. What is the derivative of n(z) wrt z? 21*z**2 Let f(h) be the first derivative of -13*h**5/5 - 3*h**2 - 3. What is the second derivative of f(x) wrt x? -156*x**2 Suppose 7 = -3*q + 22. Find the second derivative of -3*k**q + 2*k - 4*k - k + k wrt k. -60*k**3 Let m be (((-15)/10)/(-3))/15. Let i(f) be the third derivative of -f**2 + 0*f**4 + 0 + 0*f + 1/6*f**3 + m*f**5. What is the first derivative of i(c) wrt c? 4*c Let r(o) = -17*o**3 + 18*o**2. Let i(n) = n**3 - n**2. Let k(y) = 5*i(y) - r(y). What is the third derivative of k(p) wrt p? 132 Let n(d) be the third derivative of -1/4*d**4 - d**2 + 0*d**3 + 1/12*d**5 + 0 + 0*d. What is the second derivative of n(b) wrt b? 10 Let m(h) be the first derivative of 2*h**3/3 - 2*h**2 + 21*h + 59. What is the derivative of m(a) wrt a? 4*a - 4 Find the second derivative of 3*c**5 + 2*c**5 + 6*c + 8*c - 3*c wrt c. 100*c**3 Let q(x) be the second derivative of -x**4/4 + 7*x**2 - 11*x. Find the first derivative of q(f) wrt f. -6*f Suppose 5*g - 32 + 12 = 0. What is the third derivative of -5*m**2 + 4*m**2 + 4*m**g - 3*m**4 wrt m? 24*m Let i(t) be the third derivative of t**9/56 - t**5/6 + 16*t**2. What is the third derivative of i(r) wrt r? 1080*r**3 Let w(p) = 3*p**2 + 2. Let j(n) = -1 - 20*n**2 + 11*n**2 + 8*n**2. Let m(g) = -17*j(g) - 6*w(g). Find the first derivative of m(a) wrt a. -2*a Let b = 10 - 8. Differentiate p**2 + 5*p**2 - 1 - 4*p**2 + b wrt p. 4*p What is the third derivative of j**2 - 5*j**3 + 2*j**2 - 27*j**2 - j**3 wrt j? -36 Let x(z) = 3*z + 17. Let q(l) = 4*l + 25. Let s(a) = 5*q(a) - 7*x(a). Differentiate s(c) wrt c. -1 Suppose -3*w = o - 0*w - 18, 3*o = w + 14. Suppose 0*s = -2*s - 2, 2*d - o = -2*s. Find the second derivative of d*v - 4*v - v**3 - v wrt v. -6*v Let t(l) be the second derivative of 3/2*l**2 + 0 + 0*l**5 - 3*l + 0*l**4 + 1/10*l**6 + 0*l**3. Find the first derivative of t(m) wrt m. 12*m**3 Let j(y) = 4*y**2. Let n be j(-1). Find the first derivative of x + 3 + n*x + 6 wrt x. 5 What is the derivative of 5 - w + 0*w - 7*w wrt w? -8 Suppose -12 = -2*v - 2*v. What is the derivative of q**3 - q**v - 4 - 3*q**4 + 1 wrt q? -12*q**3 Let g(u) be the first derivative of 2*u**5/5 + u**3/2 + 3*u - 8. Let f(h) be the first derivative of g(h). Find the second derivative of f(k) wrt k. 48*k Let f(g) = g + 1. Let s(z) = 2 + 2*z + 2 - 3. Let r(y) =
{ "pile_set_name": "DM Mathematics" }
90. Give d(-49). 6 Let g(f) = 12686*f - 12696. What is g(1)? -10 Let y(j) = 1509*j + 48295. Give y(-32). 7 Let t(p) = 61*p**2 + 1066*p + 58. Calculate t(-16). -1382 Let k(h) = 3*h**3 - 250*h**2 + 125*h - 3505. Give k(83). -19 Let l(q) = -q**2 + 274*q - 4066. Calculate l(259). -181 Let r(z) = 2*z**3 - 67*z**2 + 85*z + 458. Determine r(32). 106 Let d(r) = 10*r**2 + 21880*r - 665390. Give d(30). 10 Let v(r) = -19*r**2 + 9*r + 311. Give v(5). -119 Let w(f) = -f**3 - 42*f**2 + 305*f + 7903. Calculate w(-45). 253 Let a(t) = -68*t**2 + 4086*t - 4086. Give a(1). -68 Let w(f) = 79*f + 7918. Calculate w(-108). -614 Let i(x) = -535*x**2 + 3786*x + 3. Calculate i(7). 290 Let k(b) = -2*b**3 + 46*b**2 + 125*b + 5. Determine k(25). 630 Let x(z) = 3*z**2 + 4639*z + 46143. What is x(-10)? 53 Let o(f) = 2*f**3 + 56*f**2 - 481*f + 3430. What is o(-36)? 10 Let h(s) = -4942*s**2 - 301463*s - 55. Determine h(-61). 6 Let y(v) = -2*v - 2365. Determine y(187). -2739 Let c(r) = -6*r**2 - 402*r + 363. Calculate c(-68). -45 Let k(b) = -b**3 - 5*b**2 + 704*b - 2059. Determine k(3). -19 Let o(b) = -37433*b + 187374. What is o(5)? 209 Let h(m) = 3*m**2 + 3244*m - 39316. Determine h(12). 44 Let a(b) = 5254*b**2 + 47289*b + 27. Calculate a(-9). 0 Let f(n) = n**2 - 2*n - 898. Calculate f(41). 701 Let b(c) = 24868*c + 3531253. Give b(-142). -3 Let r(w) = w**3 - 8482*w**2 + 67788*w + 28. Determine r(8). -4 Let w(h) = -h**3 + 434*h**2 - 9057*h - 146. Determine w(22). 8 Let x(r) = -221*r - 650. Give x(-3). 13 Let x(m) = 190*m**2 + 13824*m - 3366. What is x(-73)? -8 Let l(f) = 112300*f - 112327. Give l(1). -27 Let n(y) = -y**3 + 758*y**2 - 6654*y - 65174. Give n(749). -11 Let g(y) = 48*y - 1035. Determine g(25). 165 Let p(j) = 238*j**2 - 938*j - 54. What is p(4)? 2 Let r(l) = 3069397*l - 24555163. What is r(8)? 13 Let h(m) = 54235*m + 1030473. Determine h(-19). 8 Let z(d) = 39*d**2 - 487*d + 2455. Calculate z(5). 995 Let q(m) = -130*m + 3620. Calculate q(18). 1280 Let k(w) = w**2 + 558*w - 12942. Calculate k(24). 1026 Let c(v) = -59*v**3 + 8*v**2 + 9*v - 5. Determine c(-3). 1633 Let x(f) = -77264*f + 1467966. Give x(19). -50 Let o(k) = 1321*k**2 - 6624*k + 99. What is o(5)? 4 Let n(s) = -795*s**2 + 11078*s + 668. Determine n(14). -60 Let o(y) = 2*y**2 + 369*y + 5125. Calculate o(-170). 195 Let z(r) = -32*r**2 + 32097*r - 1010. Calculate z(1003). -7 Let q(p) = -7*p**2 + 922*p - 9046. Calculate q(121). 29 Let m(t) = 3*t**3 + 446*t**2 - 1990*t - 343. What is m(-153)? -190 Let c(r) = 60*r**2 - 19303*r - 5459. What is c(322)? 15 Let q(n) = -718*n**2 - 7088*n + 31. Calculate q(-10). -889 Let b(j) = -861*j - 5413. Calculate b(-8). 1475 Let o(n) = -4*n**2 + 675*n + 266599. Determine o(356). -45 Let z(p) = 9*p**2 - 1287*p + 239. Calculate z(143). 239 Let p(q) = -q**2 - 213*q + 1493. What is p(7)? -47 Let s(c) = -46*c**2 - 283*c - 3098. What is s(-12)? -6326 Let f(p) = p**3 + 109*p**2 - 2110*p + 3930. What is f(-126)? -102 Let h(g) = 2*g**3 - 13*g**2 + 3682*g - 22053. Calculate h(6). 3 Let u(b) = -b**3 - 39*b**2 + 12708*b + 449675. Calculate u(-35). -5 Let l(i) = -i**3 + 33*i**2 + 69*i - 209. Determine l(35). -244 Let s(l) = -15876*l + 142895. Give s(9). 11 Let s(o) = -6581*o + 38789. Determine s(6). -697 Let y(l) = l**3 + 187*l**2 + 377*l + 1240. Give y(-185). -55 Let k(x) = -49293*x - 18090541. Calculate k(-367). -10 Let w(i) = -i**3 - 49*i**2 + 459*i + 82. What is w(-57)? -89 Let u(x) = 10*x**2 + 586*x + 430. What is u(-59)? 666 Let d(b) = -598*b - 4234. What is d(-6)? -646 Let w(y) = -y**3 + 779*y**2 - 12197*y - 182. Give w(16). -6 Let q(g) = -6*g**2 + 416*g - 4866. Give q(43). 1928 Let p(o) = 9*o**3 - 11*o**2 - 80*o + 64. Give p(4). 144 Let h(f) = -f**3 + 390*f**2 - 1896*f - 11159. What is h(385)? 6 Let l(n) = -n**2 - 80*n - 125. What is l(-56)? 1219 Let u(k) = -32429*k - 1167436. Determine u(-36). 8 Let h(d) = -6504*d + 279663. Determine h(43). -9 Let f(v) = 21*v**2 + 172*v + 312. Determine f(-4). -40 Let u(a) = 40*a**3 + 31*a**2 - 50*a + 4. What is u(2)? 348 Let w(z) = -54488*z + 68600396. Calculate w(1259). 4 Let l(z) = 1421*z - 615. Calculate l(0). -615 Let o(f) = 35*f**2 - 504*f - 4131. Give o(-8). 2141 Let s(t) = 16*t**2 + 105*t - 269. Give s(2). 5 Let j(i) = -i**2 + 116354*i + 698166. Determine j(-6). 6 Let u(q) = -32094*q - 1668882. Give u(-52). 6 Let t(x) = 8*x**3 - 2*x**2 - 20*x + 26. Give t(4). 426 Let v(s) = 27*s**3 + 13*s**2 - 65*s + 38. Determine v(3). 689 Let l(a) = 92*a - 2007. Calculate l(17). -443 Let x(c) = 22*c**2 - 610*c + 433. Give x(27). 1 Let p(y) = -11*y**2 - 76*y + 1816. What is p(-19)? -711 Let n(a) = 6*a**3 - 351*a**2 + 838*a + 346. Give n(56). 234 Let g(c) = -c**3 + 46*c**2 - 683*c + 31002. Determine g(46). -416 Let m(b) = 301*b**2 + 33713*b + 189. Give m(-112). 77 Let l(d) = 8890*d**2 - 53342*d + 93. Calculate l(6). 81 Let b(l) = 3904*l - 175670. Give b(45). 10 Let l(n) = -37670*n - 489727. Determine l(-13). -17 Let t(g) = 2402*g + 135534. What is t(-56)? 1022 Let d(r) = -2*r**2 + 820*r + 6693. Determine d(-8). 5 Let k(z) = -1301081*z + 26021619. Determine k(20). -1 Let y(f) = -2*f**2 - 708*f - 23244. Give y(-35). -914 Let y(p) = -1327*p + 17221. Calculate y(13). -30 Let i(u) = -u**3 + 60*u**2 - 592*u + 23961. Give i(57). -36 Let m(r) = r**3 + 337*r**2 + 726*r + 18753. What is m(-335)? -7 Let n(f) = -1844*f - 195078. Give n(-106). 386 Let x(b) = -2*b**3 - 75*b**2 + 19*b - 713. Determine x(-38). 9 Let g(u) = -u**3 - 33*u**2 + 301*u + 8096. Give g(-22). -3850 Let p(l) = -9763*l - 244061. Calculate p(-25). 14 Let x(l) = -198*l - 2270. Determine x(-8). -686 Let k(f) = 37*f**3 - 668*f**2 + 87*f - 1084. Determine k(18). -166 Let l(o) = -29088*o - 1512590. What is l(-52)? -14 Let d(y) = -y**2 + 101*y + 20058. What is d(201)? -42 Let i(d) = -8*d**2 + 8*d + 498. Calculate i(18). -1950 Let y(z) = -2*z**3 + 72*z**2 + 68*z + 105. Determine y(37). -117 Let o(w) = -22*w**2 + 244*w + 252. Determine o(12). 12 Let k(t) = 1395162*t + 12556462. Give k(-9). 4 Let n(c) = 3*c**2 + 95*c + 768. Give n(-11). 86 Let s(o) = 3658*o + 417009. Determine s(-114). -3 Let b(l) = -149*l**2 + 1939*l - 1774. Determine b(1). 16 Let m(c) = c**3 + 18*c**2 - 11*c - 9. Calculate m(-18). 189 Let m(n) = -2*n**3 - 9*n**2 + 9178*n + 72971. Give m(-8). -5 Let i(d) = -2*d**2 + 1332*d + 30254. Calculate i(-22). -18 Let q(o) = -15458*o + 77249. Give q(5). -41 Let d(v) = 16*v**2 - 434*v + 2658. What is d(9)? 48 Let n(s) = -2305*s - 35887. Give n(-15). -1312 Let a(x) = -38436*x**2 + 2152416*x - 2. Calculate a(56). -2 Let u(y) = 32638*y + 358982. Calculate u(-11). -36 Let p(v) = 2*v**3 + 10*v**2 + 3250*v + 19492. Calculate p(-6). -80 Let c(q) = -159*q**2 + 234*q + 21. Give c(-2). -1083 Let r(l) = -5*l**2 + 1623*l + 12288. Calculate r(332). 4 Let f(b) = -b**3 + 49*b**2 + 455*b - 12888. What is f(53)? -9 Let w(f) = -66*f**3 + 35638*f**2 + 1080*f + 184. Give w(540). 184 Let h(o) = -13*o**2 + 178*o + 153. What is h(14)? 97 Let i(q) = 94*q**3 + q**2 - 878*q - 2634. Calculate i(-3). -2529 Let b(j) = -2*j**2 - 7780*j + 417968. Calculate b(53). 10 Let t(i) = i**3 - 163*i**2 + 175*i - 1282. Calculate t(162). 824 Let j(m) = 3*m**3 - 115*m**2 - 38*m + 154. What is j(37)? -6728 Let u(v) = -2*v**2 - 6626*v - 229461. Give u(-35). -1 Let p(l) = 174*l**3 - 4*l**2 + 222*l - 432. Calculate p(2). 1388 Let r(j) = -206*j**2 - 2822*j - 27. What is r(-13)? 1845 Let a(g) = -g**3 - 13*g**2 + 319*g + 109. Give a(13). -138 Let n(i) = 58*i**2 - 10242*i + 5952. Give n(176). -32 Let c(s) = -s**3 - 127*s**2 - 211*s + 4920. What is c(-125)? 45 Let t(k) = 273*k**2 + 362*k - 8. Determine t(-3). 1363 Let z(y) = -13*y**2 - 62*y - 130. Calculate z(-3). -61 Let v(k) = -1326*k + 79548. What is v(60)? -12 Let n(t) = -t**3 - 45*t**2 + 204*t - 90. What is n(-49)? -482 Let k(r) = 2*r**3 + 31*r**2 - 88*r - 305. Give k(-15). 1240 Let c(w) = -96116*w - 288327. Give c(-3). 21 Let j(p) = -487*p**2 - 31209*p - 2617. Calculate j(-64). 7 Let g(y) = -18*y**2 + 380*y + 4970. Calculate g(-13). -3012 Let y(d) = -13762*d - 82645. Give y(-6). -73 Let a(d) = d**3 + 13*d**2 - 355*d - 4796. Determine a(-14). -22 Let d(f) = -146*f**2 + 24657*f + 24658. Determine d(-1). -145 Let t(l) = l**2 + 658*l + 72512. Determine t(-140). -8 Let t(y) = 2*y**3 + y**2 - 15*y + 1
{ "pile_set_name": "DM Mathematics" }
e prime factors of u. 2, 3 Let l = 163 - 264. Let g = -33 + -26. Let j = g - l. What are the prime factors of j? 2, 3, 7 Suppose -3*l = 4*s - 2840, l + 729 - 3577 = -4*s. What are the prime factors of s? 23, 31 Let t = -3986 - -6417. List the prime factors of t. 11, 13, 17 Suppose -5769 = -g + b, 36*g - 28847 = 31*g + 3*b. What are the prime factors of g? 2, 5, 577 Suppose -5*a + 20287 = 2*h, 0 = 5*a - 2*h - 23640 + 3357. List the prime factors of a. 4057 Suppose -565 = 5*r - 1995. What are the prime factors of r? 2, 11, 13 Let w = -122 + 122. Suppose -2*k - k - 4*z = -561, -2*k - 5*z + 374 = w. What are the prime factors of k? 11, 17 Let s be ((-2)/3)/((-1)/276 - 0). Suppose 54*f - 50*f - s = 0. List the prime factors of f. 2, 23 Suppose 500 + 1162 = 3*a. List the prime factors of a. 2, 277 List the prime factors of 7605/51 - (-4)/(-34). 149 Let r = -713 + 1330. What are the prime factors of r? 617 Let q(w) be the first derivative of -w**3 + 1/2*w**4 + 0*w**2 + 0*w - 4. What are the prime factors of q(3)? 3 Let m(r) = 4*r - 38. Let v be m(0). What are the prime factors of (-2 - -10)*v/(-8)? 2, 19 Let g = 626 + 375. List the prime factors of g. 7, 11, 13 Let r be (-40)/10 - (-12)/2. List the prime factors of (62/6)/(r/6). 31 Let v(b) = -b**2 + 6*b - 3. Let l be v(4). Suppose -3*w = -l*w + 2. What are the prime factors of 34 + 0 + w + -3? 2 Let i = 286 + -202. List the prime factors of i. 2, 3, 7 Suppose 122*i - 115*i - 1869 = 0. What are the prime factors of i? 3, 89 Let m(r) = r**3 + 17*r**2 - 17*r + 37. Let c be m(-18). Suppose 0 = -2*p + 15 + c. List the prime factors of p. 17 Suppose -4*t + 3*k - 1 = -16, k - 11 = -4*t. Suppose t*h - 3*o - 220 = 263, 0 = h + 5*o - 179. What are the prime factors of h? 2, 41 Let w = -3115 - -5241. What are the prime factors of w? 2, 1063 Let x(f) = f**2 - 2*f - 2. Let j be x(0). What are the prime factors of 88/j*(-4 + 2)? 2, 11 Let b(g) = g**3 - 3*g - 2. Let a be b(6). Let c = a + -90. List the prime factors of c. 2, 53 Let y = 24 + -19. Let k(u) = -u**2 + 5*u + 4. Let c be k(y). List the prime factors of 1688/28 + c/(-14). 2, 3, 5 Let x(b) = -8*b**3 - b**2 - 2*b - 2. Suppose 3*z = -2*w + 1 - 2, -w + 5*z - 7 = 0. List the prime factors of x(w). 2, 31 Let p(r) = 723*r - 6. Let q be p(2). Suppose 23*k - q = 18*k. What are the prime factors of k? 2, 3 Let t be (-27)/(-6)*1240/15. What are the prime factors of (t/(-36))/(2/(-6))? 31 Let w(i) = i**2 + 3*i + 14. Let l be (-44)/6*6/(-4). Suppose 35 = -4*p + l. What are the prime factors of w(p)? 2 Let j(c) be the first derivative of -c**4/4 + 11*c**3/3 - 6*c**2 + 6*c + 7. Let p be j(10). Let o = 42 + p. List the prime factors of o. 2, 7 Suppose 0 = -4*a + i + 17, 4*i = a - 17 - 6. Let t be 5/(8/(-4) + a). Let z = 3 + t. List the prime factors of z. 2 Suppose 4*v - 2*d - 138 - 198 = 0, 3*v = -5*d + 252. Suppose -4*w + v = -3*j, -2*w + 42 = 3*j - 4*j. List the prime factors of w. 3, 7 Let t(x) = 18*x + 10. Let n be t(3). Suppose -o - n = -2*o. List the prime factors of o. 2 Let h(b) = b**3 + 13*b**2 - 3*b + 27. List the prime factors of h(-8). 7, 53 Let n = -3515 - -5249. List the prime factors of n. 2, 3, 17 Let i be (-5 - -2 - -2)*39. Let b = i + 89. What are the prime factors of b? 2, 5 List the prime factors of (-1 - -4768) + (-14 - -20). 3, 37, 43 Suppose -o = -4*m + 34 + 2, -m + 3*o + 9 = 0. What are the prime factors of 9/9 + (m - 0)? 2, 5 What are the prime factors of 150/(-60) + 1/(-2) - -318? 3, 5, 7 Suppose 3*b = -10 - 2. List the prime factors of 2574/24 - (-1)/b. 107 Suppose 7*t + 71 = 246. Suppose 2*h = 0, 0*y - 4*y = 2*h + 68. Let p = t + y. List the prime factors of p. 2 Let g = -3 - -8. What are the prime factors of (-2)/g + -4 + 1984/10? 2, 97 Suppose 0 = 5*a - 5*v + 15, -2*a - v + 6 = 15. Let t = a + 8. List the prime factors of (-45)/(-2) + 2/t. 23 Let d(j) be the second derivative of -j**5/20 - j**4/4 + 5*j**3/6 + 3*j. Suppose 0 = -q - 2*q - 15. List the prime factors of d(q). 5 Let v = -5 + 9. Let s be 20 - (-8 - -4)/v. What are the prime factors of 6/s + (-257)/(-7)? 37 Suppose 2*d - 110 = 136. Let f = d + -28. List the prime factors of f. 5, 19 Let v(y) = 134*y - 87. What are the prime factors of v(13)? 5, 331 Let o = 77 - 44. Let k = 38 - o. What are the prime factors of k? 5 Let w(g) = g**2 + 2*g. Let n(t) = -t**3 + 2*t**2 - 4*t + 3. Let v be n(2). Let o be w(v). Let j = o - 9. List the prime factors of j. 2, 3 Let t(y) be the third derivative of y**5/60 + y**4/12 - 14*y**3/3 + 12*y**2. What are the prime factors of t(7)? 5, 7 Let q(j) = 15*j - 1. Suppose -3*o = o - 4. Let t be q(o). Suppose -p + t = -16. What are the prime factors of p? 2, 3, 5 Suppose 0 = -4*t - 12*t - 3*t. Suppose -5*r - 3*i + t*i + 751 = 0, -4*r = 4*i - 596. What are the prime factors of r? 2, 19 Let q(a) = -2*a - 17. Let p be q(-11). What are the prime factors of 2/(6/9) - -3*p? 2, 3 Suppose 2*w = 6*d + 1036, w - 3*d - d = 523. What are the prime factors of w? 503 Suppose -j + 515 = 4*j. Suppose -p = 4*p - 2*v - 99, -5*p + j = -4*v. List the prime factors of p. 19 Let o(d) be the first derivative of -4*d - 1 - 9/2*d**2. List the prime factors of o(-4). 2 Let y(u) = 4*u + 2. Let j be y(-1). Let a(f) = -f**2 - 2*f - 2. Let m be a(j). Let r(d) = -22*d. What are the prime factors of r(m)? 2, 11 Let h = -256 + 311. List the prime factors of h. 5, 11 List the prime factors of (8 + (-8)/12)*(-111)/(-2). 11, 37 Suppose 25*m - 24*m - 119 = 0. What are the prime factors of m? 7, 17 Suppose 3*a - 275 = -20. Suppose 0 = -0*x - 3*x. Suppose 0 = -x*d + 5*d - a. List the prime factors of d. 17 Let q(z) = z + 2. Let k be q(-8). Let a be -2*3/k*1. List the prime factors of 34/8*(3 + a). 17 Let p(a) = 719*a**2 - 19*a + 75. List the prime factors of p(3). 3, 7, 103 Suppose -5*o = 2*y - 15689, 27*o + 15704 = 32*o - 3*y. What are the prime factors of o? 43, 73 Let g(q) = 9*q**2 - 11*q - 76. What are the prime factors of g(-8)? 2, 3, 7 Suppose 5*z + 151 = -94. Let y = 10 - z. What are the prime factors of y? 59 Suppose 0 = -4*n + 4*r - 3 + 19, 2*r = 5*n - 8. Suppose n = 3*u + 4 - 289. What are the prime factors of u? 5, 19 Suppose 0 = -3*a + 5*a. Suppose 2*p - 5*y - 56 = -a*p, -68 = -2*p - y. List the prime factors of p. 3, 11 Suppose 6*n - 18 = -6. Suppose 0*a + 42 = n*a. Suppose v - 23 = -a. List the prime factors of v. 2 Let s(k) = -k**3 - 16*k**2 + 16*k - 3. Let i be s(-17). Suppose 5*j = i + 6. List the prime factors of j. 2 Let d(w) = -w**3 - 10*w**2 - 3*w - 39. Let p be d(-10). Let z(t) = -9*t + 46. What are the prime factors of z(p)? 127 Let z(k) = -9*k**3 - 3*k**2 - 2*k - 2. Let p be z(-3). Let x = p + -130. Suppose -4*i + x = -2*q, -3*q + 3 = -4*q. What are the prime factors of i? 3, 7 Let i(s) be the third derivative of -4/3*s**3 - 2*s**2 + 0*s + 0 + 1/60*s**5 + 1/8*s**4. List the prime factors of i(5). 2 Suppose -147 = -3*q + 3*a, -123 = q - 4*q - 5*a. List the prime factors of (-33 - -31)*q/(-4). 23 Let j(y) = y**2 - 6*y - 13. Let b be j(9). Let h(z) = -z**3 + 9*z**2 + 2*z + 11. Let i be h(9). Let l = i - b. What are the prime factors of l? 3, 5 Let c(y) = -y**3 - 52. Let j be c(0). Let q be (4/2)/(13/j). What are the prime factors of (14/q)/((-3)/48)? 2, 7 Suppose -7*f = 5*f - 7068. Suppose -g = -n - 129, -4*g - 91 + f = 5*n. List the prime factors of g. 127 Let r(b) = 63*b**2 + 15*b + 1. Let d be r(5). Suppose -m = 12*m - d. What are the prime factors of m? 127 Suppose 2*q - 4*g + 18 = q, -5*g + 23 = -q. Suppose q*t = 5*w - 413, t = -3*w + 4*w - 82. What are the prime factors of w? 83 Let u = 99 - 69. Suppose 5 = 4*h + n - 8, -4*n = 5*h - u. Suppose -h*a = f + 8, 0 = 2*f + a - 3 + 4. List the prime factors of f. 2 Let v = -60 + 71. What are the prime factors of 1727/v - (3*-1 - 0)? 2, 5 Let r = 13 + -9. Let l(v) = -10*v + 10 - r*v + 7*v. What are the prime factors of l(-3)? 31 Let y be 8/12*75*3. Suppose -90 = -i - 3*b, 27 = 2*i + 3*b - y. What are the prime factors of i? 3, 29 Let n = 1188 + -1038. What are the prime factors of n? 2, 3, 5 Suppose -4*d = 4*b - 7*d - 30, 0 = -b - 3*d. Suppose 0 = b*i - 124 - 308. List the prime factors of i. 2, 3 Let r(i) = 5*i + 3 + 2*i**3 - i**3 + 6*i**2 + i. Let l be r(-5). List the prime factors of ((-12)/18)/(l/57). 19 Let y = -1427
{ "pile_set_name": "DM Mathematics" }
15 Let t = -1 + 5/4. Let u be 84/(-12) + (-1 - -9) - (-9)/(-12). Factor -u*x - t*x**2 + 0. -x*(x + 1)/4 Let j = -94739/4368 + 282/13. Let d(f) be the third derivative of -5*f**2 + 0*f**4 - 1/105*f**7 + 0 + 0*f**3 + 0*f**5 + j*f**8 + 0*f + 1/120*f**6. Factor d(p). p**3*(p - 1)**2 Suppose -74*s - 3 = -75*s. Let -4*y - 4*y**s - 18*y**4 - 25*y**3 - 4*y**5 - 18*y**2 + y**3 = 0. Calculate y. -2, -1, -1/2, 0 Let v(k) be the third derivative of -1/224*k**8 + 1/16*k**4 + 0*k + 0*k**6 + 0*k**3 - 12*k**2 - 1/20*k**5 + 0 + 1/70*k**7. Factor v(s). -3*s*(s - 1)**3*(s + 1)/2 Let j(a) be the third derivative of -a**7/315 + a**5/30 + a**4/18 + 20*a**2 - 4. Factor j(t). -2*t*(t - 2)*(t + 1)**2/3 Factor 0 + 12/17*q**3 + 16/17*q**2 - 2/17*q**5 + 0*q**4 + 6/17*q. -2*q*(q - 3)*(q + 1)**3/17 Let d = -5 - -14. Suppose -2*g + 15 = d. Determine j so that 3/5*j**4 - 3/5*j**5 + 9/5*j**3 + 6/5*j + 0 - g*j**2 = 0. -2, 0, 1 Let x(h) be the second derivative of -h**7/21 + h**6/15 + h**5/2 - h**4/6 - 8*h**3/3 - 4*h**2 - h + 15. Determine f so that x(f) = 0. -1, 2 Let x = -7389 - -7393. Suppose 3/2*j + 0*j**3 + 0 - 3/4*j**x + 9/4*j**2 = 0. Calculate j. -1, 0, 2 Let w(h) be the first derivative of 3/5*h**3 + 0*h**2 + 0*h - 3/20*h**4 + 6. Find i, given that w(i) = 0. 0, 3 Let h = 5372 + -5370. Find y, given that -12/7*y + 1/7*y**h + 36/7 = 0. 6 Let b = -13 - -16. Suppose 0 = -4*y + 2*y - 2, -5 = -2*a - b*y. Solve -2*s**3 - 4*s**2 + a + 0 + 0*s**3 + 2*s = 0. -2, -1, 1 Factor -148955/3*j - 5/3*j**4 + 0 - 155*j**3 - 4805*j**2. -5*j*(j + 31)**3/3 Let a(h) be the third derivative of 5*h**8/504 + 67*h**7/945 + 101*h**6/540 + 19*h**5/90 + h**4/27 - 4*h**3/27 - 24*h**2 + h. Suppose a(f) = 0. What is f? -2, -1, -2/3, 1/5 Let k = 2049/100 - 506/25. Let -t + k*t**2 + 1 = 0. What is t? 2 Let g(w) be the second derivative of 3*w**5/20 - 2*w**4 + 5*w**3/2 + 75*w**2 - 37*w. Factor g(q). 3*(q - 5)**2*(q + 2) Let c(b) = b**2 + 6*b + 7. Let f be c(-5). Suppose 0 = 3*a + 5*y - 11, f*y - 4 = -4*a + 6*y. Find i, given that -6 - 4*i - 2/3*i**a = 0. -3 Factor -21*t + 1744748 - 1744748 + 3*t**3 + 18*t**2. 3*t*(t - 1)*(t + 7) Let h(u) be the second derivative of u**4/3 - 10*u**3/3 + 8*u**2 + 139*u. Find p such that h(p) = 0. 1, 4 Let t(l) be the second derivative of l**6/60 - l**5/8 + l**4/8 + 3*l**3/4 + 47*l - 1. Determine g so that t(g) = 0. -1, 0, 3 Let p = -9/4 + 73/36. Let r = p - -5/9. Factor 2/3*i**3 + 2/3*i**2 - r*i**4 - 1/3*i**5 - 1/3*i - 1/3. -(i - 1)**2*(i + 1)**3/3 Find l, given that -74/3*l**2 + 14/3*l**3 - 8 + 104/3*l = 0. 2/7, 2, 3 Factor 0 + 5/2*g**3 + 50*g - 105/2*g**2. 5*g*(g - 20)*(g - 1)/2 Let v(c) be the second derivative of -c**7/210 - c**6/120 + c**5/60 + c**4/24 - 5*c**2 + 13*c. Let o(x) be the first derivative of v(x). Factor o(m). -m*(m - 1)*(m + 1)**2 Let l(n) = -16*n**2 + 34*n - 33. Let c(m) = -3*m**2 + 7*m - 6. Let z(g) = -22*c(g) + 4*l(g). Factor z(b). 2*b*(b - 9) Let t(n) be the second derivative of -2*n**6/15 - 9*n**5/5 - 8*n**4 - 32*n**3/3 - n + 101. Let t(z) = 0. What is z? -4, -1, 0 Let a(s) = 59*s**2 + 205*s + 60. Let g(y) be the third derivative of y**5/3 + 17*y**4/6 + 10*y**3/3 + 15*y**2. Let q(c) = 6*a(c) - 17*g(c). Factor q(i). 2*(i + 5)*(7*i + 2) Factor 51/4 + 12*n - 3/4*n**2. -3*(n - 17)*(n + 1)/4 Let o = 18 - -67. Suppose 4*x - o = 2*k - 19, 43 = 3*x + 5*k. What is a in -x*a**2 - 15*a**2 - 6 + 4*a**2 + 21*a - 3*a**4 + 15*a**3 = 0? 1, 2 Suppose -10*x + 12 = -6*x. Suppose 0 = x*d + 9, -2*j = -3*d - 13. Determine i, given that 6*i**3 + 10*i**4 + 0*i - 10*i**2 + j*i - 4*i**5 - 4*i**5 + 0*i = 0. -1, 0, 1/4, 1 Factor 4/5*j**2 + 0 - 4/5*j**4 + 16/5*j**3 - 16/5*j. -4*j*(j - 4)*(j - 1)*(j + 1)/5 Let p(b) be the second derivative of 37/90*b**5 + 1/189*b**7 - 10/9*b**4 + 0*b**2 + 0 - 2/27*b**6 - 28*b + 4/3*b**3. Solve p(l) = 0. 0, 2, 3 Let q(f) = -34*f**2 + 474*f + 30. Let x be q(14). Factor -3/2*y**x + 0 - 3/2*y. -3*y*(y + 1)/2 Let m be ((-256)/(-80))/(5 + (-1 - 158/40)). Determine s, given that 4*s**4 + 76*s**2 + 25*s**3 + 112*s + 1/4*s**5 + m = 0. -4, -2 Let t = 7 - 2. Let r(q) = q + 9. Let y be r(-7). Determine n so that 12*n**2 - t*n**y + n**3 - 3*n**2 = 0. -4, 0 Let m(u) = -29*u**2 + 105*u + 9. Let j(t) = -13*t**2 + 52*t + 4. Let p(r) = 9*j(r) - 4*m(r). Factor p(f). -f*(f - 48) Let v(f) be the third derivative of 0*f - 10*f**2 + 10/3*f**3 + 0*f**4 + 0 - 1/4*f**5 + 1/24*f**6. Factor v(w). 5*(w - 2)**2*(w + 1) Let n(x) be the third derivative of -x**6/40 + 7*x**4/8 - 3*x**3 + 234*x**2. Determine u, given that n(u) = 0. -3, 1, 2 Factor 0 + 2/15*c**4 + 2/3*c**3 + 2/5*c**2 - 6/5*c. 2*c*(c - 1)*(c + 3)**2/15 Let f be 2/3 + 10*2/15. Determine u, given that -5/3*u + 0*u**f + 5/3*u**3 + 0 = 0. -1, 0, 1 Let q(s) be the first derivative of s**4/16 + s**3/4 - s + 2. Factor q(l). (l - 1)*(l + 2)**2/4 Let u(f) = -f - 1. Let m(n) = n**2 - 18*n - 2. Let v(i) = 5*m(i) - 10*u(i). Let v(t) = 0. What is t? 0, 16 Solve -4 + 2801*r**5 + 5*r**4 + 2 + 2 - 2800*r**5 + 4*r**3 = 0. -4, -1, 0 Factor -4*r**3 - 10*r**4 - 2 + 241*r**2 - 229*r**2 - 2*r + 2*r**5 + 4*r**5. 2*(r - 1)**3*(r + 1)*(3*r + 1) Let b = -128/13 + 9229/936. Let r(s) be the third derivative of 0*s - 7*s**2 + b*s**4 + 1/9*s**3 - 1/180*s**5 + 0. Determine w, given that r(w) = 0. -1, 2 Let z = -1466/5 - -5879/20. Let -3/4*i + 1/2*i**3 + 1/4*i**5 - 1/2*i**2 + z*i**4 - 1/4 = 0. Calculate i. -1, 1 Let k(a) = a**2 - 4*a - 3. Let b be k(7). Let z = 21 - b. Find d, given that -2 - 2*d - d - z*d**2 + 2*d**2 = 0. -2, -1 Let -5/7*v**3 + 0 - v + 13/7*v**2 - 1/7*v**4 = 0. What is v? -7, 0, 1 Let h = 178/93 + -1876/775. Let x = 4/25 - h. What is i in 1/3*i**2 + 0 - x*i = 0? 0, 2 Let x(r) be the third derivative of -r**10/378000 - r**9/75600 - 17*r**5/60 - 18*r**2. Let q(y) be the third derivative of x(y). Factor q(o). -2*o**3*(o + 2)/5 Let x(p) be the second derivative of -p**5/4 + 5*p**4/2 - 15*p**3/2 + 106*p. Factor x(q). -5*q*(q - 3)**2 Suppose 112 + 4/7*z**2 + 16*z = 0. What is z? -14 Let q = 1/5172 + 31025/36204. Factor -12/7*j**2 - 27/7*j - q. -3*(j + 2)*(4*j + 1)/7 Let h(x) = 2*x - 13. Let k be h(11). Let q = 11 - k. Determine j so that -q - 5*j - j + 2*j**5 - 2*j**4 - 4*j**4 + 4*j**3 + 4*j**2 + 4 = 0. -1, 1 Let o(r) be the second derivative of r**6/24 + r**5/3 + 5*r**4/8 - 23*r**2/2 - 3*r. Let l(i) be the first derivative of o(i). Determine s so that l(s) = 0. -3, -1, 0 Let g = 2204/23 - 33014/345. Factor -4/15*d**2 + 2/15 - 4/15*d**3 + 2/15*d + 2/15*d**4 + g*d**5. 2*(d - 1)**2*(d + 1)**3/15 Let u(x) be the first derivative of x**6/3 - 76*x**5/15 + 32*x**4/9 + 68*x**3/9 - 73*x**2/9 + 8*x/3 + 345. Suppose u(r) = 0. What is r? -1, 1/3, 1, 12 Let f(t) be the second derivative of 6859*t**5/12 - 1805*t**4/4 + 285*t**3/2 - 45*t**2/2 + t + 55. Factor f(k). 5*(19*k - 3)**3/3 Factor 48/5*m**3 + 0*m + 16*m**2 + 0 + 4/5*m**4. 4*m**2*(m + 2)*(m + 10)/5 Suppose -58/5*b**2 - 42/5*b**3 - 4/5 - 2*b**4 - 6*b = 0. Calculate b. -2, -1, -1/5 Let o(b) be the first derivative of -5 - 1/3*b**3 + 1/4*b**4 - b**2 + 0*b. Determine p so that o(p) = 0. -1, 0, 2 Let m = 624 - 6239/10. Factor 1/5*c**4 + 0 - 1/10*c**3 - m*c**5 + 0*c + 0*c**2. -c**3*(c - 1)**2/10 Suppose s = -5 + 20. Suppose -p + s = -5*r, -2*r = 6 - 0. Factor 0*v + p + 1/2*v**2. v**2/2 Find z, given that 0*z + 1/3*z**4 + 1/3*z**3 + 0 + 1/9*z**2 + 1/9*z**5 = 0. -1, 0 Let d be (-250)/(-100)*(-12)/(-15). Factor 3*x**3 + 3/4*x**4 + 27/4 - 9*x - 3/2*x**d. 3*(x - 1)**2*(x + 3)**2/4 Let k(s) be the second derivative of s**6/30 + 19*s**5/100 + 7*s**4/20 + s**3/6 - s**2/5 + 127*s. Solve k(y) = 0 for y. -2, -1, 1/5 Let x = 65 - 60. Let a(r) = -3*r**3 - 3*r**2 - 4*r. Let t(h) = 3*h**3 + 4*h**2 + 5*h. Let w(u) = x*t(u) + 6*a(u). Factor w(f). -f*(f - 1)*(3*f + 1) Let i(x) be the first derivative of 26 + 0*x**2 + 5/4*x**4 - 5/3*x**3 + 0*x. Factor i(w). 5*w**2*(w - 1) Let v(a) be the third derivative of -a**5/15 - 3*a**4/2 - 40*a**3/3 + 8*a**2 + 12. Factor v(y). -4*(y + 4)*(y + 5) Let d(m) be the first derivative of 4*m**3/3 + 10*m**2 - 24*m + 455. Solve d(f) = 0 for f. -6, 1 Solve -3969 + 25*f + 2434*f**2 + 101*f - 1219*f**2 - 1216*f**2 = 0 for f. 63 Let l = -1/5819 + 110567/34914. Find z, given that -3/2*z**3 + 1 - l*z + 7/2*z**2 + 1/6*z**4 = 0. 1, 6 Let f(y) = y**3 + y**2 - 2*y + 1. Let r(c) = c**4 + 6*c
{ "pile_set_name": "DM Mathematics" }
on. -9000000 Round 79.89 to the nearest ten. 80 Round 701860 to the nearest 100000. 700000 Round 1.54685 to 1 dp. 1.5 Round -0.0019837 to four dps. -0.002 Round 95258000 to the nearest one million. 95000000 What is -0.000003122 rounded to six decimal places? -0.000003 What is 0.00022285 rounded to five decimal places? 0.00022 What is 4.464 rounded to zero dps? 4 Round 0.000020136 to six dps. 0.00002 What is 0.0000383 rounded to five decimal places? 0.00004 Round 6.342 to zero decimal places. 6 What is 25289 rounded to the nearest one hundred? 25300 What is 36540 rounded to the nearest 1000? 37000 Round -0.001572 to four decimal places. -0.0016 What is -5.705 rounded to zero decimal places? -6 Round 581.9 to the nearest ten. 580 What is 25325000 rounded to the nearest one million? 25000000 Round 50225000 to the nearest one hundred thousand. 50200000 What is -0.0018528 rounded to 4 decimal places? -0.0019 Round -0.0000015374 to 6 decimal places. -0.000002 Round -12.42 to zero decimal places. -12 What is 0.0002648 rounded to five decimal places? 0.00026 What is -924500 rounded to the nearest 100000? -900000 What is -0.291461 rounded to 3 dps? -0.291 Round 0.000085572 to 6 dps. 0.000086 What is -0.00002065 rounded to six decimal places? -0.000021 What is -83000000 rounded to the nearest 1000000? -83000000 Round 982.8 to the nearest 10. 980 Round 0.0015699 to three decimal places. 0.002 Round -0.0012694 to 4 decimal places. -0.0013 What is 3614 rounded to the nearest 100? 3600 Round 9.233 to one decimal place. 9.2 Round 17.822 to 1 decimal place. 17.8 What is 104 rounded to the nearest ten? 100 Round 0.8945 to 1 dp. 0.9 Round -22667000 to the nearest one hundred thousand. -22700000 Round 0.016629 to 2 decimal places. 0.02 Round -279490 to the nearest 100000. -300000 Round 246 to the nearest 100. 200 What is -4086 rounded to the nearest 100? -4100 Round 0.0574 to two dps. 0.06 Round 25.78 to the nearest 10. 30 What is -0.000070827 rounded to six decimal places? -0.000071 What is -0.0000061999 rounded to six decimal places? -0.000006 Round 0.0722 to two dps. 0.07 What is -0.000082419 rounded to five decimal places? -0.00008 What is -0.01683 rounded to two dps? -0.02 What is 0.000006326 rounded to 6 dps? 0.000006 Round -4.5597 to two decimal places. -4.56 What is 0.00010363 rounded to 6 dps? 0.000104 What is -1.03622 rounded to 1 decimal place? -1 What is 1038 rounded to the nearest ten? 1040 Round -245100 to the nearest one hundred thousand. -200000 What is 4517500 rounded to the nearest 100000? 4500000 Round 0.00003562 to five decimal places. 0.00004 What is 0.0000006917 rounded to 7 decimal places? 0.0000007 Round -359700 to the nearest 10000. -360000 What is 1122.17 rounded to the nearest integer? 1122 Round -0.18654 to 3 decimal places. -0.187 Round 90059 to the nearest ten thousand. 90000 What is 1812.6 rounded to the nearest ten? 1810 What is 0.00000107196 rounded to seven decimal places? 0.0000011 What is 36.35 rounded to the nearest integer? 36 Round -589800 to the nearest one hundred thousand. -600000 Round -69.95 to the nearest integer. -70 Round 872 to the nearest 100. 900 What is -0.00021093 rounded to 6 decimal places? -0.000211 What is -26820000 rounded to the nearest 1000000? -27000000 What is 0.41048 rounded to 3 dps? 0.41 Round -0.00004453 to 5 dps. -0.00004 What is -84400 rounded to the nearest ten thousand? -80000 What is 49400000 rounded to the nearest one million? 49000000 Round 0.00000175198 to 7 dps. 0.0000018 What is 4.496 rounded to zero dps? 4 What is 28.96 rounded to the nearest ten? 30 What is -0.00000035712 rounded to seven dps? -0.0000004 Round -59.6 to the nearest ten. -60 Round -0.00002231 to six decimal places. -0.000022 What is 2.707 rounded to the nearest ten? 0 Round -158.738 to the nearest 10. -160 What is -0.00001267 rounded to 7 dps? -0.0000127 Round 0.000014699 to six decimal places. 0.000015 Round -0.094202 to 3 decimal places. -0.094 Round -0.000172 to four decimal places. -0.0002 Round 632 to the nearest 10. 630 What is 539900 rounded to the nearest 10000? 540000 What is -51700 rounded to the nearest 10000? -50000 What is 98.24 rounded to 0 dps? 98 What is -0.05692 rounded to 3 dps? -0.057 What is -12.11 rounded to the nearest integer? -12 What is -0.040335 rounded to 4 dps? -0.0403 What is -4.9288 rounded to 1 dp? -4.9 What is 0.00032853 rounded to 5 dps? 0.00033 What is 0.0000301 rounded to five dps? 0.00003 What is 0.00046093 rounded to 6 dps? 0.000461 What is 2439.08 rounded to the nearest ten? 2440 What is 0.00000858 rounded to 7 decimal places? 0.0000086 Round -4687600 to the nearest ten thousand. -4690000 What is 0.01398 rounded to three decimal places? 0.014 Round -0.001536 to 3 dps. -0.002 Round -482800 to the nearest one hundred thousand. -500000 What is 60.075 rounded to the nearest ten? 60 Round -32168.6 to the nearest one thousand. -32000 Round 2.1143 to one decimal place. 2.1 What is -326.82 rounded to 0 decimal places? -327 What is 81060 rounded to the nearest one thousand? 81000 What is -0.00153632 rounded to four dps? -0.0015 Round 315480 to the nearest 10000. 320000 Round -65190000 to the nearest one million. -65000000 What is -0.0012831 rounded to five dps? -0.00128 Round -5900 to the nearest 1000. -6000 What is 2942.2 rounded to the nearest 100? 2900 What is -0.0003479 rounded to 5 dps? -0.00035 What is -0.000010683 rounded to seven dps? -0.0000107 Round 36670000 to the nearest 1000000. 37000000 What is 0.0022684 rounded to 3 decimal places? 0.002 Round -0.019409 to four decimal places. -0.0194 What is -0.018583 rounded to four dps? -0.0186 What is 0.00000052641 rounded to seven decimal places? 0.0000005 What is 0.39372 rounded to 2 decimal places? 0.39 What is 0.001757 rounded to three decimal places? 0.002 Round -2766000 to the nearest one hundred thousand. -2800000 What is -3.7016 rounded to 1 dp? -3.7 Round 4.002 to one decimal place. 4 What is 0.00002021 rounded to 6 dps? 0.00002 What is -105.8 rounded to the nearest ten? -110 Round -100100 to the nearest 10000. -100000 What is 0.00062197 rounded to 5 dps? 0.00062 Round 61450000 to the nearest 100000. 61500000 What is 6350 rounded to the nearest one hundred? 6400 What is -89.07 rounded to the nearest integer? -89 What is 0.58324 rounded to two dps? 0.58 What is -0.00001499 rounded to 5 decimal places? -0.00001 Round 16910 to the nearest 1000. 17000 What is -405.6 rounded to the nearest 10? -410 Round -70.1 to the nearest ten. -70 Round 129.35 to the nearest integer. 129 What is -16.659 rounded to the nearest 10? -20 What is -0.00813 rounded to four dps? -0.0081 Round 0.00005449 to four dps. 0.0001 Round -3079 to the nearest 100. -3100 What is 32.668 rounded to the nearest integer? 33 What is 24930 rounded to the nearest one thousand? 25000 What is 0.0323802 rounded to four dps? 0.0324 What is 36780 rounded to the nearest one thousand? 37000 What is 7.5516 rounded to zero decimal places? 8 Round -0.00000062264 to 7 decimal places. -0.0000006 What is 0.00015829 rounded to five decimal places? 0.00016 Round 143060 to the nearest 1000. 143000 Round -615100 to the nearest 10000. -620000 Round -0.482 to two decimal places. -0.48 What is -172.92 rounded to the nearest integer? -173 Round -336.35 to the nearest ten. -340 What is 5840000 rounded to the nearest one hundred thousand? 5800000 Round -420.81 to zero decimal places. -421 Round -0.04072 to two dps. -0.04 What is 0.000000336 rounded to seven dps? 0.0000003 What is -28540 rounded to the nearest ten thousand? -30000 What is -93040 rounded to the nearest 10000? -90000 Round 0.00078671 to three dps. 0.001 What is 0.00062997 rounded to 6 dps? 0.00063 Round -0.028387 to four dps. -0.0284 Round 10091000 to the nearest one million. 10000000 Round 74850000 to the nearest 1000000. 75000000 Round -582 to the nearest one hundred. -600 Round -0.0000595 to six decimal places. -0.00006 What is 50778 rounded to the nearest one hundred? 50800 What is 0.0000062972 rounded to six decimal places? 0.000006 What is -0.000024891 rounded to 7 dps? -0.0000249 What is -0.000086 rounded to four decimal places? -0.0001 What is 361.1 rounded to the nearest ten? 360 What is 0.00000173249 rounded to seven dps
{ "pile_set_name": "DM Mathematics" }
-26.8 - y. Which is bigger: r or -25? r Let c(v) = v**2 + 3*v - 3. Let f be c(4). Let a = 27 - f. Let x = 237 - 701/3. Is a > x? False Let j(f) = f**2 + f - 21. Let u be j(0). Let m = u - -24. Suppose 5 = m*l + 17. Are -4 and l non-equal? False Let s(w) = w**2 - 28*w - 61. Let m be s(30). Do 2/1265 and m have the same value? False Let y be (-2 - 0)*(2 + -3). Let k be (y + -5)*6/9. Let h be (1 + 0/k)*3. Is h > 3? False Suppose -3*r = 3*g + 75, 0 = -11*g + 8*g + r - 55. Is g < -16? True Suppose 60 = -4*d - 4*l, -22*d + 20*d = l + 33. Let g be 8/(16/(-35))*(-8)/(-10). Which is greater: d or g? g Let d(j) = j**3 - 11*j**2 - 3*j - 19. Let u be d(8). Let f be u/324 + (-6)/(-8). Which is smaller: 0 or f? 0 Let t = -125993 + 268239091/2129. Is -1 < t? True Let t = 11 - 13. Let c be t - (-1 - (-411)/(-405)). Is c at least as big as 1? False Let y be (0 + 19/1)/1. Suppose 19 = 2*i - y. Suppose 7 = -n + 5*p - 0*p, -2*n + 31 = -p. Which is greater: i or n? i Let l(b) be the third derivative of -b**5/60 - 5*b**4/24 + b**3/3 - 11*b**2. Let o be l(-5). Is 6/7 less than o? True Let a(n) = n + 4 - 6 - 3. Let g be a(8). Let b be (g/(-9))/(2/4). Is b equal to -3/7? False Suppose 7*b - 1093 = -225. Which is bigger: b or 123? b Let u = -18 + -4. Let m be (-4)/(-3) + u/3. Let n = -135/2 - -63. Is n < m? False Let g = -388 - -387.6. Which is greater: g or 2.3? 2.3 Suppose 0 = 31*b + 12348 - 1002. Is b < -367? False Let v = 4.4 + -98.4. Let w = v - -93. Do 4 and w have different values? True Let y be 1 - 0 - (1 + -4). Let c be (18/(-16))/((-1)/y). Let h = 335 + -334. Is c <= h? False Let n = -13 - -15. Suppose n*x + 47 = -13. Let v be (-2)/(-12) - 85/x. Is 3 at most v? True Let l be (-16)/(-30)*(-6)/(-4). Let x = 12.64 - 12.34. Is x less than or equal to l? True Let q be (-48)/(-32)*((-5)/3 + 1). Which is smaller: q or 5/33? q Let p = 0 + 4. Suppose -p*b - y = 2*y - 10, 4*b = 3*y + 22. Is b smaller than 4? False Let j(s) = -4*s - 303. Let y be j(21). Which is greater: -388 or y? y Let c = 6.7 - 3.6. Let x = 3.2 - c. Which is bigger: x or -19? x Let p = 325379/72 + -4519. Are p and 0 non-equal? True Let g be (-12718)/(-58)*(-1)/(-2). Let p = g + -219/2. Which is smaller: p or 0? 0 Let u = -302 + 306. Let q = 0 + -0.2. Is q less than u? True Let g = 12 - 14. Let o(u) = u + 1. Let t be o(-7). Which is smaller: t or g? t Suppose 200*q + 216 = 206*q. Is 32 < q? True Let j be ((-333)/27)/(2/48). Let v = 1472/5 + j. Are -1 and v equal? False Let h(l) = 21*l + 15. Let b be h(7). Let q = -1454/9 + b. Let a(p) = p**2 + 4*p - 4. Let u be a(-5). Which is greater: u or q? u Suppose -5*n + 13 = -7. Suppose 0 = -2*o + 4*u + 34, -o - u + 2 = -0. Suppose 0 = -r + 3*w - o, -n*w = -r - 0*w - 9. Which is bigger: r or 23? 23 Let m be (422/(-428) + 1)*(-18)/27. Are 1 and m non-equal? True Let p = -18371/780 - 23/156. Is -23 > p? True Let m(f) = 11*f - 177. Let d be m(12). Is d less than or equal to -46? False Let b be (-16)/(-8) + 10/2. Suppose 27 = y - 4*f, 2*y - b*y + 15 = 4*f. Is y <= 11/2? False Let k(u) = -u**2 - 13*u - 1. Let t(a) = -3*a - 1. Let w be t(4). Let s be k(w). Let j = -1/89 + -707/445. Is s at most as big as j? False Suppose 0 = -x - 4, 0 = 4*v - 2*v - 5*x + 72. Let w be (-1)/2*1 + (-69)/v. Which is smaller: -3/43 or w? -3/43 Let l = -19/4 + 4. Let d = 43.9 + -42. Let h = -2.9 + d. Which is greater: h or l? l Let n(m) be the first derivative of m**5/120 + m**4/8 - m**3 - 2. Let t(s) be the third derivative of n(s). Let v be t(-3). Which is smaller: 2 or v? v Let a(w) = -11*w - 2. Let l be 168/54 + 1/(-9). Let v be a(l). Does v = -35? True Let f be (-11 - -6) + 105/(-195). Which is bigger: 2 or f? 2 Let y = 4 + -5. Let u = y - -8. Let d be (10/(-20))/((-5)/66). Is d bigger than u? False Let c(w) = -w**3 - 2*w**2 + 3. Let r be c(-3). Let h be (1/10)/(3/r). Suppose -4*f + 5*f + 4*s = 1, 3*f + s = 3. Is h at most as big as f? True Let j = 8 + 113. Let s = -124 + j. Which is greater: -12 or s? s Let v(o) = o**3 + 5*o**2 - 2*o - 1. Let a be v(-6). Let w = 0.231 - 0.031. Which is bigger: w or a? w Let q = 761 - 736. Is 14 less than or equal to q? True Let h be 2*((-3)/6 - -2). Suppose -h*m = -4*m + 2*k - 24, 5*k = m + 15. Which is smaller: -29 or m? m Let d = 473 + -485. Do d and -18 have the same value? False Let q = 34 + -33. Suppose -2*c - 38 = -2*w, 2*w - 37 = -0*w + c. Let r be q/((8/w)/(-4)). Which is smaller: -8 or r? r Suppose -5*s = 0, -15*l + 12*l + 24 = 5*s. Let c(p) = -p**2 + 9*p - 6. Let b be c(7). Does b = l? True Let s be (3/(-9) - -2)/(8/72). Suppose -14*a = -s*a. Is a <= 3/10? True Let g = 32 + -32. Suppose -3*s + g = -9. Let l be (s*(-2)/6)/13. Which is smaller: 0 or l? l Let c(n) be the second derivative of -n**5/20 - 19*n**4/12 + 7*n**3/2 + 21*n**2/2 + 38*n. Let j be c(-20). Which is smaller: 7/20 or j? 7/20 Suppose -6*m = -3*m - 11*m. Which is greater: 7/9 or m? 7/9 Let r be 2*10/(-5) - 1*304. Is r greater than -308? False Suppose 2*p - 30 = -24. Let v be 36/60 - p*3/9. Is v at least 6? False Suppose -2 = -l - 0*l. Let s(a) = -l*a - a - 2*a + a. Let o be s(-6). Is o greater than 23? True Let n be 4*(-3 + 2)*-1. Suppose -3*f + 9 = v, -n*f = v - 11 + 4. Suppose 9*j - 12*j = v. Is j > -13/3? False Let v = -66 + 66.062. Let k = v + 0.518. Which is greater: k or -0.1? k Let s be (-3)/((-9)/(-141))*-13. Suppose -11*z - s = -138. Which is smaller: z or -45? -45 Let q = -42 - 58. Let x be 45/(-2)*(-5)/q. Which is smaller: -2 or x? -2 Let z(a) = 6*a + 147. Let c be z(-20). Is c equal to -9? False Let f be (6/4)/(2/16*4). Suppose 0 = -f*p - 0*p + 9. Let c = -6 + 25/3. Which is smaller: c or p? c Let b = -2.33 + 2.93. Is -2 at most b? True Let i(h) = 2*h - 3. Suppose 0 = -4*j + 8*j + 4. Let l be i(j). Is -6 != l? True Let g(i) = -5*i - 19. Let l be g(-5). Let u(x) = x**3 - 7*x**2 + 5*x + 6. Let j be u(l). Let m = 2/3667 + 7248/157681. Which is smaller: j or m? j Let o = -1990 - -2002. Let k = 5 - 7. Which is bigger: k or o? o Suppose -106*t = -96*t. Are 90 and t non-equal? True Let v = -55.29 - -55. Let h = -0.09 - v. Is -1/3 smaller than h? True Let d(g) = -3*g + 21. Let m be d(7). Which is smaller: m or 1/38? m Suppose -4 - 2 = -3*s. Let a(d) = d**3 + 8*d**2 + 11*d + 4. Let p be a(-6). Let g be ((-28)/42)/((-6)/p). Are s and g unequal? True Suppose -5*u + 5*p = -3 - 2, 16 = -2*u - 4*p. Let b be 48/(-36)*9/(-12). Is b < u? False Let q = 27.6 - 27.6. Which is smaller: -8 or q? -8 Let i = -214 - -192. Is i <= 2/7? True Let d(t) = 4*t + 4. Let o be d(10). Let z = -45 + o. Are -1/18 and z equal? False Let d be -2 + (-7)/(-2 - -1). Suppose -d*a = -2*b - 18, b + 61 = -2*b - a. Let r be (-1)/(-2) + b/(-2). Is 11 less than r? False Let g = 28.66 + -29.57. Which is bigger: g or 16? 16 Suppose 2*v - 100 = -126. Let c = 30 + -16. Let h = v + c. Is 2/11 less than h? True Let s be (-30)/(-98)*4/(-6). Let u = s + 239/931. Which is smaller: u or 0? 0 Suppose -2*s - 34 = -3*m - 116, m + 2 = 0. Is -2/5 greater than or equal to s? False Let j = 160 + -94. Let q be (j/44)/((2/(-8))/1). Which is smaller: -7 or q? -7 Let j = 7026 - 77937/11. Which is greater: -58 or j? -58 Suppose 4 = 5*y + 9. Let o be ((-2)/(222/(-24)*2))/(-2). Do y and o have the same value? False Let i = -1.97 - -1.47. Let f = 27 - 53/2. Which is smaller: i or f? i Let k = 1218 + -13399/11. Which is greater: k or -3? k Suppose 2*q - 97 = 3*f + 7*q, 176 = -4*f + 5*q. Which is bigger: -50 or f? f Let o be 12/(-28) - 3/42. Is 117 > o? True Suppose 26 = x - 0*x + 5*t, 4*t = 5*x + 15. Let f(c) = 29*c. Let h be f(x). Suppose -2*l + 68 - 13 = -i, 0 = 5*l + i - 141. Which is greater: l or h? h Suppose 12*v - 8*v - 408 = 0. Suppose -6*p = -12*p + v. Are 0 and p unequal? True Suppose 14*p + 253 = 143*p - 5. Let r(a) = a**2 + a - 1. Let f(h) = -4*h**2 - 3*h + 1. Let j(c) = -f(c) - 5*r(c). Let y be j(-3). Which is bigger: p or y? p Suppose -4*d + 4*i - 3 = -15, -2*d - 2 = 2*i. Let t be 40/(-6)*(-3)/9. Which is bigger: d or t? t Let k = 217 + -219. Let b = 3 + -3.04. Which is bigger: k or b? b Let t(i) = -3*i**2 + 21*i - 18. Let a be t(6). Is a bigger than -3/7? True Suppose 658 + 512 = 13*t. Is t at least 91? False Let t = 227/5 - 226/5. Which is smaller: t or -2.3? -2.3 Let v = 325 + -344. Is 10 < v? False Let z = 19 + -14.
{ "pile_set_name": "DM Mathematics" }
(g) = -324*g**2. Calculate -428*l(k) + 3*v(k). -321*k**2 Let x(n) = -9*n**2 - 11*n - 5. Let w = -177 - -172. Suppose 0 = 5*r + 6*a - 2*a - 36, 3*a = r - 11. Let i(z) = -14*z**2 - 17*z - 8. Calculate r*x(y) + w*i(y). -2*y**2 - 3*y Suppose 5*d = 3*q + 37, 2*q - 3*q + 3*d = 19. Let k(j) = 12*j. Let b(g) = 3*g. Give q*k(n) + 18*b(n). 6*n Let a(l) = -10*l**3 + 6*l**2 + 12*l + 5. Let t(k) = -11*k**3 + 5*k**2 + 10*k + 3. What is -5*a(h) + 6*t(h)? -16*h**3 - 7 Let a(x) = -10*x**3 - 12*x**2 + 13*x + 14. Let v(t) = 7*t**3 + 8*t**2 - 9*t - 10. What is -5*a(q) - 7*v(q)? q**3 + 4*q**2 - 2*q Let p(b) = 2*b + 5*b - 5 - b - 4*b. Let c(k) = -k + 1. Suppose 6 = 2*n + t - 6, 5*n = 3*t + 8. Let x be 4/14 - (-1)/(42/30). What is n*c(l) + x*p(l)? -2*l - 1 Let t(k) = 142*k**3 + 6*k**2 - 6*k. Let o(n) = 2*n**3 - n**2 + n. Determine -6*o(x) - t(x). -154*x**3 Let z(t) = 3*t**3 - 3*t**2. Suppose -130*g + 10 = -135*g. Let p(k) = 15*k**3 - 16*k**2. Calculate g*p(m) + 11*z(m). 3*m**3 - m**2 Let w(r) = 2*r**3 - r - 2. Let n be 0/(1 - 2) - (-50 - -56). Let c(y) = 2*y**3 - 2*y - 2. Determine n*c(s) + 7*w(s). 2*s**3 + 5*s - 2 Let j(g) = 2*g**2 - g - 1. Let a(d) = -3*d**2 - d + 3. Let o(p) = a(p) + 3*j(p). Let t(r) = -6*r**2 + 9*r. Calculate 5*o(q) + 2*t(q). 3*q**2 - 2*q Let l(j) = -3*j**2 + 5*j + 17. Let p(x) = -2*x**2 + 3*x + 9. Let d = -1098 + 1093. What is d*p(s) + 3*l(s)? s**2 + 6 Suppose 0 = c + 4*w + 25, -5*c - 2*w = 13 + 22. Let g(t) = -6*t + 6. Let k(o) = -5 + 2*o - 3*o + 6*o. Give c*k(a) - 4*g(a). -a + 1 Let g(o) = o**3 + o**2 + 2*o. Let n(j) = 36*j**3 - 5*j**2 - 6*j. Calculate 4*g(c) + n(c). 40*c**3 - c**2 + 2*c Let i = -220 + 214. Let w(a) = -3*a - 2. Let k(j) = 35*j + 25. Calculate i*k(p) - 75*w(p). 15*p Let n(o) = o**3 - 6*o**2 + 7*o - 5. Let k(x) = -215 + 111 + 11*x - 9*x**2 + 96 + 2*x**3. Let c = -3 + 8. Let g be -3 + 1 + (-18)/3. What is c*k(u) + g*n(u)? 2*u**3 + 3*u**2 - u Let d(s) = -s**2 + 2*s + 9. Let u(l) = 3*l**2 + 13*l + 26. Let k(t) = t**2 + 6*t + 13. Let h(y) = 7*k(y) - 3*u(y). Give -7*d(x) + 5*h(x). -3*x**2 + x + 2 Let o(h) = -h**2 + h + 7. Let g(s) be the third derivative of -s**4/24 - s**3 + 2*s**2. Give 4*g(y) + 3*o(y). -3*y**2 - y - 3 Let c(t) = -6*t**2 - 26*t + 99. Let z(i) = i**2 + 5*i - 20. Calculate -2*c(y) - 11*z(y). y**2 - 3*y + 22 Let m(u) = -19*u**3 - 5*u**2 - 5*u + 5. Let b(s) = -s**3 - 2*s**2 - s. Let c(n) = 5*b(n) - m(n). Let y(q) = 27*q**3 - 9*q**2 - 9. Determine -9*c(w) + 5*y(w). 9*w**3 Let z be (8/(-3))/(11/33). Let h be 7 + -9 + (-1 - z). Let c(f) = 4*f + 8. Let j(o) = 3*o + 7. What is h*c(w) - 6*j(w)? 2*w - 2 Let k(w) = -2*w**2 + 4. Suppose 0 = -4*f, -7 = -2*p + 3*f + 87. Let c(a) = -27*a**2 + p*a**2 + 21 - 30*a**2. What is -2*c(n) + 11*k(n)? -2*n**2 + 2 Let m(o) = 3*o**3 + 5*o**2 + 4*o + 4. Let n(a) = -2*a**3 + a + 1. Determine m(u) - 4*n(u). 11*u**3 + 5*u**2 Suppose -y = -3*m + 4 - 18, 5*y = -3*m - 2. Let s(g) = -5 + 1 + 7 - y + g. Let w(j) = -6*j - 4. Determine 3*s(q) + w(q). -3*q - 1 Let d(k) = 6*k**3 - k**2 - 2*k + 1. Let f(s) = 12*s**3 - 2*s**2 - 5*s + 3. What is -7*d(j) + 3*f(j)? -6*j**3 + j**2 - j + 2 Let g(b) be the third derivative of -b**3/3 - b**2. Let n = 402 + -406. Let t(s) = -s - 2. Calculate n*g(a) + 3*t(a). -3*a + 2 Let r(u) = -14*u**2 - 22*u + 6. Let g(s) = 4*s**2 + 7*s - 2. Give 13*g(x) + 4*r(x). -4*x**2 + 3*x - 2 Let s(z) = 3*z - 7522 + 7528 - 13*z**2 - 3*z. Let a(c) = 25*c**2 - 11. Determine 6*a(f) + 11*s(f). 7*f**2 Let f(c) = -42*c - 49. Let h(p) = 19*p + 25. Give 2*f(q) + 5*h(q). 11*q + 27 Let l(m) = -233*m**2 - 3*m - 1. Let w(h) = 235*h**2 + 4*h + 1. Give -4*l(r) - 3*w(r). 227*r**2 + 1 Let m(o) = -o**3 - 7*o**2 - 2*o + 5. Let a(c) = 6*c**2 + 2*c - 4. Calculate 3*a(b) + 2*m(b). -2*b**3 + 4*b**2 + 2*b - 2 Let f = 78 - 72. Let w(y) = 120*y**3 + 65. Let d(x) = -11*x**3 - 6. Calculate f*w(v) + 65*d(v). 5*v**3 Let k(j) be the third derivative of j**4/8 - j**3/2 + 97*j**2. Let y(s) = s. Give -k(o) + y(o). -2*o + 3 Let b(q) = q + 1. Let u(g) = -2*g**2 - 8*g - 1. Let f be ((-4)/8)/((6/(-4))/(-3)). Determine f*u(c) - 6*b(c). 2*c**2 + 2*c - 5 Suppose 0 = 5*z - 6 + 26. Let r(n) be the first derivative of -5/2*n**2 + 6*n + 1. Let o(t) = 2*t - 2. Give z*r(b) - 11*o(b). -2*b - 2 Let j(y) = -9*y**3 + 14*y**2 - 8*y + 8. Let q(o) = 19*o**3 - 30*o**2 + 17*o - 17. Determine -13*j(b) - 6*q(b). 3*b**3 - 2*b**2 + 2*b - 2 Let d(j) = 2*j**2 - j - 1. Let z(w) = 4*w**2 - 18*w - 18. What is 36*d(c) - 2*z(c)? 64*c**2 Let u(x) = x - 26. Let y(i) = -i + 31. Let v(h) = 6*u(h) + 5*y(h). Let g(b) = -3*b + 4. What is -3*g(j) - 12*v(j)? -3*j Let f(j) = 41*j + 9. Let l(g) = -61*g - 14. Calculate 7*f(u) + 5*l(u). -18*u - 7 Let y(u) = 5*u + 12. Let n(s) = 35*s + 85. What is -2*n(g) + 15*y(g)? 5*g + 10 Let j(g) = -8*g - 4. Suppose x + 3*y - 8*y = 19, 4*y + 20 = 2*x. Let t(q) = -8*q - 3. Give x*t(p) - 3*j(p). -8*p Let c(k) be the third derivative of -k**4/24 + k**3/2 + 945*k**2. Let a = 0 - -3. Let j(r) = -2*r + 6. Calculate a*j(o) - 7*c(o). o - 3 Suppose -54 = -65*x + 71*x. Let t(j) = 12*j**2 + 9*j + 7. Let z(b) = -6*b**2 - 4*b - 3. Give x*z(u) - 4*t(u). 6*u**2 - 1 Let a(y) = -y - 1. Let i(g) = -5*g**2 + 2*g + 32. Let r(w) = -4*w**2 + 3*w + 25. Let l(c) = -3*i(c) + 4*r(c). Determine 6*a(x) + l(x). -x**2 - 2 Let c(a) = 2*a**2 + 3*a - 2. Let x(v) = 3*v**2 + 4*v - 1. Suppose 9*d + 241 = 745. Suppose -d*f + 12 = -59*f. Calculate f*c(j) + 3*x(j). j**2 + 5 Let y(f) = f - 1. Let r(v) = -3*v + 2. Let h be 0 - 2/(-1 - 1). Suppose 0 = 7*n - 14. What is h*r(t) + n*y(t)? -t Suppose -4*v + 18 = 2*q, 0 = -q + 5*v - 7 + 2. Let w(o) = -3*o - 2. Let n(g) be the second derivative of g**3/3 + g**2 + 2*g. What is q*w(h) + 6*n(h)? -3*h + 2 Suppose -7*v + 4*g - 8 = -5*v, -3*g = -5*v + 8. Let i(s) = 4*s - 5. Let t(y) = -5*y + 5. Give v*i(z) + 3*t(z). z - 5 Let m(w) be the second derivative of 11*w**5/20 - w**3/2 + 3*w**2/2 + 100*w. Let q(c) = -10*c**3 + 2*c - 2. Determine 4*m(a) + 6*q(a). -16*a**3 Let h(p) = -15*p + 245. Let u(c) = -8*c + 122. What is 6*h(v) - 11*u(v)? -2*v + 128 Let b(j) = 3. Let r(y) = 240*y - 241*y + 3 - 7. What is 3*b(t) + 2*r(t)? -2*t + 1 Let b(u) = 14*u + 3. Let v(s) = -6*s - 2. Calculate -6*b(p) - 15*v(p). 6*p + 12 Let w(f) = 3*f**2 - 7*f + 1. Let k(o) be the first derivative of -o**3/3 + o**2/2 - 150. Suppose -7 = -4*l - 3. Determine l*w(a) + 4*k(a). -a**2 - 3*a + 1 Let k(p) = 7*p**3 - p**2 - 2*p + 8. Let v(g) = 34*g**3 - 6*g**2 - 9*g + 42. Let t(i) = -11*k(i) + 2*v(i). Let u(s) = -s**3 + s - 1. Give t(o) - 4*u(o). -5*o**3 - o**2 Let n(w) = -59*w**3 - 5*w**2 - 15. Let k(o) = 58*o**3 + 5*o**2 + 12. Calculate 5*k(z) + 4*n(z). 54*z**3 + 5*z**2 Let q(n) = -5*n - 6. Let l(t) be the second derivative of -22*t**3/3 - 55*t**2/2 + 715*t. What is -6*l(o) + 55*q(o)? -11*o Let j(p) = 449*p**3 - 6*p - 3. Let s(y) = -448*y**3 + 8*y + 4. Calculate 4*j(i) + 3*s(i). 452*i**3 Let x(y) = 21*y**2 + 3. Let h(q) = 22*q**2 + 2. Let o be 12/(-14)*595/(-170). Determine o*h(b) - 2*x(b). 24*b**2 Let h(a) = 22 - 28*a**3 + 0*a + 18 - 40 - 6*a. Let m(s) = s**3 + s. Determine -h(u) - 6*m(u). 22*u**3 Let i(p) = 9*p**3 + 9*p**2 - 2*p + 67. Let r(j) = -4*j**3 - 4*j**2 + j - 34. Calculate 2*i(q) + 5*r(q). -2*q**3 - 2*q**2 + q - 36 Let t(v) = -22*v**2 + 3*v - 4. Let c(o) = -23*o**2 + 4*o - 6. What is -3*c(y) + 4*t(y)? -19*y**2 + 2 Let d(n) be the first derivative of -2*n**2 + 7*n + 58. Let g(f) = -9*f + 13. Calculate -7*d(p) + 3*g(p). p - 10 Let k(b) = -b. Let c(p) = p**3 - 3*p - 14. Give -c(z) + 3*k(z). -z**3 + 14 Let b(a) = -7*a**2 + a - 4. Suppose -16 = -3*d + 2. Let l be (50/(-3))/(5/15). Let w be (-12)/10 + (-10)/l. Let i(x) = -x**2 - 1. Give d*i(n) + w*b(n). n**2 - n - 2 Let d(p) = -75*p**3 - 5*p**2 + 5*p + 16. Let f(r) = -38*r**3 - 3*r**2 + 3*r + 8. Calculate 3*d(a) - 5*f(a). -35*a**3 + 8 Let u = 69 + -101. Let v = 26 + u. Let m(z) = -11*z + 20. Let o(j) = 22*j - 39. Let r(p) = 5*m(p) + 3*o(p). Let n(l) = 4*l - 6. Determine v*r(f) + 17*n(f). 2*f Let n(x) = 2*x + 5. Let s be (-11)/3 - (-56)/84. Let p(k) = k - 7. Let o be p(3). Let i(w) = -3*w - 6. Give o*n(v) + s*i(v). v - 2 Let t(g) = 6*g. Let w(n) = n. Let m be w(1). Let l = -1111 - -1107. Let c(j) = j. Determine l*c(q) + m*t(q). 2*q Let z(b) = -3*b**3 + 3*b**2 - 66*b + 5. Let t(s) = 5*s**3 - 4*s**2 + 68*s - 6. What
{ "pile_set_name": "DM Mathematics" }
n 7 is divided by s. 3 Suppose 0 = -5*j + 2*j + 39. Calculate the remainder when 258 is divided by j. 11 Let o(t) = t**3 - 7*t**2 + 4. Suppose -x - 4*a + 15 + 4 = 0, 0 = -5*x - 3*a + 44. Calculate the remainder when 15 is divided by o(x). 3 Let m be ((-32)/20)/(2/35). Let z be (4/8)/(2/m). What is the remainder when 47 is divided by (-2)/z - 220/(-14)? 15 Suppose -3*u + 7*u = 16. Calculate the remainder when 15 is divided by u. 3 Suppose -5*q - 5*p - 250 = -3*p, 5*q = -5*p - 265. What is the remainder when 11 is divided by 10/(-4)*q/20? 5 Suppose 0 = -2*k - 5*y + 54, 2*k - 7*k + 4*y + 135 = 0. Suppose 3*i - 86 = -41. What is the remainder when k is divided by i? 12 Suppose k - 2*t = 37, -3*k + 18 = 2*t - 85. What is the remainder when 68 is divided by k? 33 Suppose 3*m - 42 - 6 = 0. What is the remainder when 30 is divided by m? 14 Let f(z) be the second derivative of -z**4/12 + 7*z**3/3 + 7*z**2/2 - 2*z. Suppose 12 = -2*p + 3*p. What is the remainder when f(10) is divided by p? 11 Let t = -30 - -35. Calculate the remainder when 13 is divided by t. 3 Suppose 2*w = 4*w + 8. Let u = 23 + w. What is the remainder when 35 is divided by u? 16 Let l(v) = v**2 - 5*v + 8. What is the remainder when 30 is divided by l(5)? 6 Suppose 0 = -3*x - 4*s + 174, -3*s + 285 = 5*x + 2*s. What is the remainder when x is divided by 28? 26 Suppose -w + 4*k + 33 = 0, -2*w = 2*w + 2*k - 60. Suppose 0*v + 6 = v. What is the remainder when w is divided by v? 5 Let z be (0 + -2 - 0) + 0. Let q = z + 8. What is the remainder when 10 is divided by q? 4 Suppose 4*d + 12 - 36 = 0. Suppose -86 = -4*m - u + 2*u, -m + 28 = 3*u. Calculate the remainder when m is divided by d. 4 Let c(k) = -k**2 - 16*k + 26. Calculate the remainder when c(-13) is divided by 17. 14 Suppose -7*d = -0*d - 294. Suppose -4*j + 3*y + 2*y + 69 = 0, 2*j - 2*y = 32. Calculate the remainder when d is divided by j. 9 Suppose -2*l = 2, 4*u - 3*l + 4*l = 15. Suppose -u*z + 6*z - 66 = 0. Calculate the remainder when z is divided by 9. 6 Let k(y) = y**3 - 8*y**2 - 9*y + 13. Let p(f) = f**2 - 5*f + 3. Let n be p(6). What is the remainder when 25 is divided by k(n)? 12 Let h = 40 - -3. Calculate the remainder when h is divided by 11. 10 Let m(d) = 3*d**2 + d. Let w be m(-2). Suppose w = 3*a + 1. Suppose 2*j - a - 1 = 0. Calculate the remainder when j is divided by 1. 0 Calculate the remainder when (-93)/(-5) - (-54)/(-90) is divided by 12 - (2 + 0/(-3)). 8 Let c = 40 - 20. Suppose 3*g = -d - 12 + 27, -4*g + 2*d + 20 = 0. Suppose -g*s = -120 - 170. What is the remainder when s is divided by c? 18 Suppose 119 = 5*g + 2*n, 2*g + 0*g - 5*n = 65. Calculate the remainder when g is divided by 5. 0 Suppose 3*s = -5*v - 79, -2*s = 3*s + 2*v + 100. Let p = -7 - s. Let r = 11 + p. Calculate the remainder when r is divided by 8. 6 Suppose 0*v + 2 = 4*v + 5*i, 4*i - 8 = 0. Let d(y) = -7*y - 2. Let f(b) = 2*b**2 + 37*b + 74. What is the remainder when f(-17) is divided by d(v)? 11 Calculate the remainder when 77 is divided by 1 - 5/3 - 450/(-27). 13 Let k = -4 - -10. Calculate the remainder when 22 is divided by k. 4 Let a = 4 - 1. Let k = -2 + 7. Suppose -n + 0 = 3, n = -4*y + k. Calculate the remainder when a is divided by y. 1 Let a = 2 + -2. What is the remainder when 21/(-63) + 1 + 25/3 is divided by -1*(10 - a)/(-2)? 4 Suppose -3*s + 8 = -91. Calculate the remainder when 62 is divided by s. 29 Suppose 2*q - 45 = -3*q. Calculate the remainder when 102/4 - (-3)/6 is divided by q. 8 Suppose 37 = 3*a + 2*r - 7*r, -4*r = -a + 17. Suppose 5*c - 86 = 2*x, -4*c - x = x - 58. Calculate the remainder when c is divided by a. 7 Suppose 9*c - 561 - 51 = 0. What is the remainder when c is divided by 23? 22 Let j = 0 - -11. Suppose -4*n - j + 43 = 0. What is the remainder when n is divided by (-2)/8 - 13/(-4)? 2 Let m(f) = 4*f + 3. Calculate the remainder when m(8) is divided by 20. 15 Let l be 9 + -1 - (1 + -4). Let j = l - 1. Suppose 3*k = 2*x - j - 46, -2*k = -5*x + 118. Calculate the remainder when x is divided by 6. 4 Let v(m) = -m + 9. Suppose -5*c + 179 = 5*j - 3*c, -c = -j + 40. What is the remainder when j is divided by v(-4)? 11 Let b(h) = h**3 + 9*h**2 + 6*h + 4. Calculate the remainder when b(-8) is divided by 7. 6 Let v(o) = -o**3 + 5*o**2 + 6*o + 7. Let z be v(6). Let f = z + -3. What is the remainder when ((-28)/10)/(2/(-10)) is divided by f? 2 Let g(v) be the third derivative of -v**6/120 + 3*v**5/20 - v**4/3 + v**3/6 - 2*v**2. What is the remainder when 1 is divided by g(8)? 0 Suppose 4*l + 2*i - 2 = 0, 17 = -l - 7*i + 3*i. Suppose 6 = j - l. Calculate the remainder when 24 is divided by j. 6 Let y(v) = v**2 - 5*v - 3. Let t(i) = i + 9. Calculate the remainder when y(-5) is divided by t(7). 15 Suppose -5*d - 5*x = -35, -3*d = -4*x + 2*x - 41. What is the remainder when (-5)/(84/(-16) + 5) is divided by d? 9 Calculate the remainder when -5*2*52/(-8) is divided by 17. 14 Suppose 0 = -3*t - 2*h + 26, 0*h - 4*h = -4*t + 48. What is the remainder when 28 is divided by t? 8 Let p(c) be the first derivative of c**3 + c**2 + 4*c + 4. What is the remainder when p(-3) is divided by 14? 11 Suppose 4 = 5*r - 6. What is the remainder when 26/6 - 2/6 is divided by r? 0 Let j = -95 + 117. Calculate the remainder when 55 is divided by j. 11 Suppose 0 = 3*q - 33 - 6. Let t(k) = 6*k + 3. Let d be t(5). Let p = d + 3. Calculate the remainder when p is divided by q. 10 Let w(k) = -k**2 + 6*k - 6. Let j be w(4). Suppose -2 = z, -64 = -h + j*z - 5*z. Suppose 0 = -y - y + h. What is the remainder when y is divided by 18? 17 Let q(l) = -35*l. Calculate the remainder when 138 is divided by q(-1). 33 Suppose -4*l = -5 - 19. Suppose 28 = -2*i + 58. Calculate the remainder when i is divided by l. 3 Suppose -4*z + z = -228. What is the remainder when z is divided by 13? 11 Let s = 8 + -6. Suppose -2*h = -k - 14 - 7, 0 = s*k + 2. Suppose -3*j = 4*p - 56 - 48, -3*p - 3*j + 75 = 0. Calculate the remainder when p is divided by h. 9 Let b be 86/10 - 24/40. Suppose b*m - 42 = 5*m. Calculate the remainder when 68 is divided by m. 12 Let g(c) = c**3 + c**2 - c + 2. Calculate the remainder when g(3) is divided by 13. 9 Suppose 0*q = 3*l - 4*q - 14, -5*q = -4*l + 18. What is the remainder when 6 is divided by l? 0 Let d = -41 - -73. What is the remainder when 62 is divided by d? 30 Let g(u) be the first derivative of -u**4/4 - 2*u**3 - 3*u**2/2 - 9*u + 1. Let f = -10 - -4. What is the remainder when g(f) is divided by 3? 0 Let c(p) = -3*p**2 - 22*p - 10. Calculate the remainder when 98 is divided by c(-5). 23 Let y(p) = 3*p + 22. Suppose 0 = z + 2*z. Calculate the remainder when 86 is divided by y(z). 20 Let m(c) = 16*c**3 - 2*c**2 + c. What is the remainder when m(2) is divided by 41? 40 Let i = -152 - -215. Suppose 66*d = 60*d + 96. Calculate the remainder when i is divided by d. 15 Suppose -2*p = -25 - 17. Let f = 37 - -2. What is the remainder when f is divided by p? 18 Calculate the remainder when 43 is divided by 6/27 + 4/(-18) - -15. 13 Suppose -f + 90 = -34. What is the remainder when f is divided by 18? 16 Suppose -14*h = -8*h - 198. What is the remainder when 63 is divided by h? 30 Let y = 2 - 1. Suppose -n = -8 - y. Calculate the remainder when 34 is divided by 10 - -3*6/n. 10 Let k = -9 + 11. Suppose 29 = -0*m + k*m + b, -2*m = 3*b - 31. Calculate the remainder when 26 is divided by m. 12 Suppose y = -2*n + 7 + 17, -37 = -3*n - y. Calculate the remainder when 37 is divided by n. 11 Calculate the remainder when (-2)/(-4)*0 + 18 is divided by 7. 4 Suppose w - 2*u - 53 = 0, -w - 5*u + u + 35 = 0. What is the remainder when w is divided by ((-120)/35)/((-1)/((-7)/(-2)))? 11 Let n(h) = 14 + 51 - 2*h**2 + h**2. What is the remainder when n(0) is divided by 22? 21 Let q be 4/(-8)*2 + 1. Suppose q = -5*g + 2*w + 82 + 74, 5*g = w + 158. What is the remainder when g is divided by 11? 10 Suppose t + 4*t + 4*f + 15 = 0, -2*f = 3*t + 11. Let h = t + 29. Calculate the remainder when 87 is divided by h. 21 Calculate the remainder when 63 is divided by -3 - (-1 + 2 - 20). 15 Suppose 3*a + 45 = 2*m, 106 = 5*m - a - 0*a. Calculate the remainder when 81 is divided by m. 18 Let b(l) = -l**2 + 3*l. Let h be b(3). Suppose 4*a - 4*n + n = -5, h = -a + n - 1. What
{ "pile_set_name": "DM Mathematics" }
ing 3 y. 4/5 Two letters picked without replacement from ooofooofoooofoooofof. What is prob of picking 1 f and 1 o? 15/38 Four letters picked without replacement from {f: 7, u: 2, h: 11}. What is prob of picking 1 h, 1 f, and 2 u? 77/4845 What is prob of picking 3 o when three letters picked without replacement from {n: 3, o: 6, i: 4}? 10/143 Calculate prob of picking 2 t, 1 o, and 1 n when four letters picked without replacement from oonnonnonnotonnnnnto. 77/4845 Three letters picked without replacement from wwoiwwotowoowwwoo. Give prob of picking 2 w and 1 t. 7/170 Calculate prob of picking 2 q and 1 g when three letters picked without replacement from {f: 1, q: 6, l: 2, u: 3, g: 1}. 15/286 Calculate prob of picking 1 y and 1 s when two letters picked without replacement from yaaamymasawtsamam. 1/34 Three letters picked without replacement from vhvhuvhkhqvhvlkvkkqk. What is prob of picking 1 l and 2 q? 1/1140 Three letters picked without replacement from ffbfbbfbtff. What is prob of picking 1 t, 1 b, and 1 f? 8/55 What is prob of picking 1 z and 1 d when two letters picked without replacement from {z: 1, m: 6, t: 1, w: 11, d: 1}? 1/190 Two letters picked without replacement from {f: 2, y: 7, b: 4}. Give prob of picking 2 f. 1/78 Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {s: 1, c: 3, o: 6, v: 4}. 24/91 Calculate prob of picking 1 i and 1 n when two letters picked without replacement from einieeqqqe. 2/45 Three letters picked without replacement from {f: 3, b: 2, z: 1, m: 1, k: 4}. What is prob of picking 1 f, 1 m, and 1 k? 4/55 Calculate prob of picking 1 y and 1 n when two letters picked without replacement from nynyznzynnnyynnyn. 27/68 Two letters picked without replacement from {s: 2, p: 1, a: 1, g: 1, x: 1, c: 2}. Give prob of picking 1 p and 1 a. 1/28 What is prob of picking 1 g and 1 m when two letters picked without replacement from {m: 1, d: 2, q: 1, g: 2, p: 2}? 1/14 Three letters picked without replacement from nsnx. Give prob of picking 1 x, 1 s, and 1 n. 1/2 What is prob of picking 1 q, 1 h, and 1 m when three letters picked without replacement from cccmceqecmmccmecquhm? 1/114 Two letters picked without replacement from pdodpdddpdpdd. What is prob of picking 1 o and 1 d? 4/39 Three letters picked without replacement from ooh. What is prob of picking 3 h? 0 Two letters picked without replacement from qhf. Give prob of picking 1 f and 1 q. 1/3 Two letters picked without replacement from {x: 9, a: 3}. What is prob of picking 2 x? 6/11 Calculate prob of picking 2 b, 1 w, and 1 a when four letters picked without replacement from {b: 4, a: 1, x: 2, w: 2}. 2/21 Four letters picked without replacement from bbabbbtmmttbbm. What is prob of picking 1 t, 2 m, and 1 b? 9/143 Four letters picked without replacement from fsssscfsfsffs. Give prob of picking 4 f. 1/143 Calculate prob of picking 2 c when two letters picked without replacement from xccnnffxxxncfnccxfx. 10/171 What is prob of picking 3 s when three letters picked without replacement from {s: 3}? 1 What is prob of picking 2 a when two letters picked without replacement from {a: 6, i: 1, m: 6, b: 5, y: 1}? 5/57 Calculate prob of picking 2 d when two letters picked without replacement from ddq. 1/3 Calculate prob of picking 1 z and 1 k when two letters picked without replacement from lzaaazzfzakalzz. 2/35 Calculate prob of picking 4 a when four letters picked without replacement from {s: 3, a: 4}. 1/35 Two letters picked without replacement from {s: 3, y: 2, a: 1, v: 5, x: 6, b: 2}. Give prob of picking 1 b and 1 y. 4/171 Four letters picked without replacement from {e: 17, i: 1}. Give prob of picking 1 i and 3 e. 2/9 Three letters picked without replacement from {t: 3, f: 4, x: 3, e: 3}. What is prob of picking 2 f and 1 t? 9/143 Two letters picked without replacement from {f: 6, r: 1, a: 9, z: 2}. Give prob of picking 1 z and 1 f. 4/51 What is prob of picking 1 g and 1 t when two letters picked without replacement from fbtbfbrfftpgfrbbffrr? 1/95 What is prob of picking 1 x and 1 g when two letters picked without replacement from gkgkkogoxc? 1/15 Three letters picked without replacement from llllllllllllllllxlll. Give prob of picking 3 l. 17/20 What is prob of picking 2 q when two letters picked without replacement from {q: 2, t: 11}? 1/78 Calculate prob of picking 2 u when two letters picked without replacement from fhfffuhhuhh. 1/55 Calculate prob of picking 2 a when two letters picked without replacement from ahaaaaahaaa. 36/55 What is prob of picking 2 c and 1 s when three letters picked without replacement from {z: 4, s: 1, c: 5, v: 1}? 2/33 Four letters picked without replacement from {k: 6, n: 9, q: 4}. Give prob of picking 4 q. 1/3876 Calculate prob of picking 2 a and 2 s when four letters picked without replacement from {s: 7, a: 3}. 3/10 Two letters picked without replacement from {j: 2, x: 8, o: 1, h: 7, k: 1}. Give prob of picking 1 k and 1 o. 1/171 Three letters picked without replacement from {m: 8, i: 1, w: 2, v: 7}. What is prob of picking 2 w and 1 i? 1/816 Four letters picked without replacement from {e: 1, p: 1, t: 1, k: 1, a: 1}. Give prob of picking 1 p, 1 t, 1 k, and 1 e. 1/5 Three letters picked without replacement from {k: 6, w: 2, f: 1, m: 2, b: 3}. Give prob of picking 1 f, 1 m, and 1 w. 1/91 Three letters picked without replacement from wdwkksk. Give prob of picking 2 k and 1 d. 3/35 Calculate prob of picking 4 t when four letters picked without replacement from tttttjtttjj. 7/33 Three letters picked without replacement from cvvhykcyocov. Give prob of picking 1 h and 2 v. 3/220 Four letters picked without replacement from ggggatgewgggggag. What is prob of picking 1 a and 3 g? 33/182 Three letters picked without replacement from {g: 2, a: 6, e: 1, l: 4, s: 3, f: 4}. Give prob of picking 2 a and 1 s. 3/76 Calculate prob of picking 3 m and 1 d when four letters picked without replacement from {d: 4, m: 10}. 480/1001 Three letters picked without replacement from htaa. What is prob of picking 2 a and 1 t? 1/4 Two letters picked without replacement from jjjijxdiijjxjjij. What is prob of picking 2 j? 3/10 What is prob of picking 1 j, 1 y, and 1 p when three letters picked without replacement from {p: 3, j: 1, r: 1, v: 5, g: 5, y: 3}? 3/272 What is prob of picking 2 a when two letters picked without replacement from asbszzbbgubass? 1/91 Two letters picked without replacement from {e: 1, n: 1, a: 3, h: 4, v: 2, y: 1}. Give prob of picking 1 v and 1 h. 4/33 Calculate prob of picking 3 z and 1 c when four letters picked without replacement from zzwzzzlchh. 1/21 Four letters picked without replacement from {z: 2, f: 1, v: 7}. What is prob of picking 4 v? 1/6 Three letters picked without replacement from {v: 4, w: 2, d: 3, z: 1, q: 1}. Give prob of picking 2 w and 1 v. 4/165 Two letters picked without replacement from uooou. Give prob of picking 1 o and 1 u. 3/5 What is prob of picking 2 i when two letters picked without replacement from uiusyuiyiuiuusm? 2/35 Calculate prob of picking 1 o, 1 c, 1 x, and 1 e when four letters picked without replacement from {e: 1, c: 2, o: 3, u: 3, j: 2, x: 1}. 2/165 Two letters picked without replacement from {w: 1, s: 2, e: 2, o: 1, u: 1, n: 1}. Give prob of picking 1 e and 1 u. 1/14 Two letters picked without replacement from iiiniifff. Give prob of picking 2 f. 1/12 What is prob of picking 1 f and 1 o when two letters picked without replacement from qoqnnqofinqoofon? 1/12 What is prob of picking 1 s and 3 m when four letters picked without replacement from {m: 6, s: 4, z: 1}? 8/33 Three letters picked without replacement from {u: 6, v: 2, s: 3, x: 6, r: 2}. Give prob of picking 1 v, 1 u, and 1 x. 24/323 Calculate prob of picking 1 p and 1 u when two letters picked without replacement from {f: 2, p: 1, q: 1, u: 1, a: 1, v: 1}. 1/21 What is prob of picking 1 v and 3 c when four letters picked without replacement from rhckkhvhkcchk? 1/715 Three letters picked without replacement from {p: 2, e: 1, y: 4, l: 3}. Give prob of picking 1 p and 2 y. 1/10 What is prob of picking 1 f and 1 b when two letters picked without replacement from {v: 1, b: 2, f: 1}? 1/3 Two letters picked without replacem
{ "pile_set_name": "DM Mathematics" }
he common denominator of 157/191724 and 16/11. 2108964 Calculate the least common multiple of 73866 and 12. 147732 Calculate the common denominator of 97/50040 and -2/121. 6054840 Find the common denominator of 107/354348 and 57/1544. 708696 What is the least common multiple of 128 and 654416? 5235328 What is the common denominator of -55/170672 and 119/512016? 512016 Calculate the common denominator of 191/34980 and 127/46640. 139920 Calculate the common denominator of 75/2 and 73/25764. 25764 What is the common denominator of 121/57738 and 73/450? 4330350 Calculate the lowest common multiple of 1680 and 35. 1680 What is the smallest common multiple of 954180 and 1539? 954180 Calculate the lowest common multiple of 1511242 and 636. 9067452 Calculate the common denominator of 11/65 and -34/60705. 789165 Calculate the smallest common multiple of 763700 and 4. 763700 What is the lowest common multiple of 508002 and 41349? 3556014 What is the smallest common multiple of 17664 and 46368? 370944 Calculate the lowest common multiple of 6435 and 122265. 122265 Find the common denominator of -1/11 and 4/9517. 104687 What is the common denominator of -89/12 and -87/237436? 712308 Calculate the common denominator of 1/12 and -71/33503306. 201019836 What is the smallest common multiple of 36128 and 63224? 252896 Calculate the common denominator of 131/51018 and -127/120588. 1326468 What is the common denominator of 36/53 and 89/41616? 2205648 Calculate the common denominator of 9/3262 and 79/3376. 5506256 What is the lowest common multiple of 1420 and 286? 203060 Calculate the smallest common multiple of 37455 and 18. 224730 Calculate the smallest common multiple of 720016 and 392736. 4320096 Calculate the common denominator of -40/1053 and -71/3159. 3159 Calculate the common denominator of -39/76694 and 3/4948. 153388 What is the smallest common multiple of 135 and 15930? 15930 What is the smallest common multiple of 102776 and 102776? 102776 Calculate the smallest common multiple of 1760 and 1210. 19360 What is the common denominator of 95/95232 and 67/37696? 1809408 Calculate the common denominator of -51/322 and -75/10276. 236348 Calculate the least common multiple of 2079 and 8778. 79002 What is the common denominator of 83/6 and -199/2442180? 2442180 Calculate the smallest common multiple of 739206 and 22815. 3696030 What is the lowest common multiple of 136286 and 747? 1226574 Find the common denominator of 149/50160 and -95/8. 50160 What is the common denominator of 9/58588 and -11? 58588 What is the common denominator of -25/112 and -75/586? 32816 Calculate the lowest common multiple of 11024 and 2968. 77168 Calculate the smallest common multiple of 384165 and 640275. 1920825 What is the least common multiple of 1344 and 2688? 2688 Calculate the smallest common multiple of 85008 and 44528. 935088 Calculate the lowest common multiple of 1006264 and 14. 1006264 Calculate the lowest common multiple of 270 and 11052. 165780 What is the lowest common multiple of 431688 and 14? 3021816 Calculate the smallest common multiple of 169245 and 665697. 9985455 What is the common denominator of 9/544 and -137/16320? 16320 Calculate the common denominator of -93/128 and -37/4096. 4096 Calculate the common denominator of 29/14 and -25/36296. 254072 What is the smallest common multiple of 7760 and 18430? 147440 What is the common denominator of -41/10508 and 5/12? 31524 What is the common denominator of -47/156 and -49/57072? 741936 Find the common denominator of 69/44 and -137/233136. 2564496 What is the common denominator of 57/524 and -73/912808? 912808 What is the common denominator of 83/13902 and -31/7944? 55608 Find the common denominator of 79/3196 and -39/268. 214132 Find the common denominator of 13/62548 and 113/14814. 562932 Calculate the least common multiple of 3295276 and 14. 23066932 Calculate the least common multiple of 113310 and 37770. 113310 What is the least common multiple of 36 and 13425? 161100 Find the common denominator of 40/8137 and 7/3. 24411 What is the smallest common multiple of 1120 and 184? 25760 Calculate the common denominator of 31/23200 and 71/125280. 626400 What is the common denominator of 67/4312 and -131/86240? 86240 Calculate the smallest common multiple of 169518 and 29740. 1695180 What is the lowest common multiple of 1782 and 27918? 83754 What is the least common multiple of 728904 and 820017? 6560136 Calculate the common denominator of 41/8316 and -119/4644. 357588 Calculate the least common multiple of 672 and 2592. 18144 Find the common denominator of 82/45 and 29/25380. 25380 Calculate the smallest common multiple of 7038 and 506. 77418 Calculate the smallest common multiple of 9718 and 13. 126334 What is the common denominator of -12/50545 and -25/86386? 4751230 Calculate the smallest common multiple of 31280 and 1282480. 1282480 Find the common denominator of 133/768 and 59/45888. 183552 What is the lowest common multiple of 12908 and 1266? 8170764 What is the lowest common multiple of 828 and 43056? 43056 What is the common denominator of 211/926640 and 109/20592? 926640 Calculate the smallest common multiple of 15 and 66867. 334335 Calculate the lowest common multiple of 21784 and 435. 9476040 Calculate the least common multiple of 164170 and 65668. 328340 Calculate the common denominator of 3/860 and 23/8600. 8600 Calculate the common denominator of -44/11487 and -24/77. 126357 What is the common denominator of 46/56433 and 71/15? 282165 Calculate the common denominator of 9/37 and -59/458. 16946 What is the least common multiple of 261960 and 52392? 261960 Calculate the smallest common multiple of 322770 and 90. 968310 Find the common denominator of -61/172620 and 61/9864. 345240 What is the common denominator of 31/192 and -67/5736? 45888 Find the common denominator of 97/1016 and 5/18796. 37592 Find the common denominator of -29/283650 and -58/425475. 850950 What is the least common multiple of 7080 and 2715? 1281480 Calculate the least common multiple of 416 and 687296. 8934848 Calculate the common denominator of 137/701316 and 103/24. 1402632 Calculate the common denominator of -115/324 and -169/161028. 161028 What is the lowest common multiple of 4 and 148816? 148816 What is the lowest common multiple of 9310 and 1995? 27930 What is the common denominator of 73/17248 and 117/400? 431200 What is the smallest common multiple of 230 and 2500? 57500 Find the common denominator of -47/17 and 53/116603. 116603 What is the smallest common multiple of 23712 and 228? 23712 What is the smallest common multiple of 30580 and 50? 152900 Calculate the least common multiple of 91462 and 188. 182924 What is the least common multiple of 305983 and 697? 305983 Find the common denominator of -83/391680 and 11/97920. 391680 Calculate the common denominator of 21/32 and -73/33968. 67936 Find the common denominator of 32/3381 and -29/1087716. 7614012 What is the lowest common multiple of 105898 and 39? 317694 Find the common denominator of 139/372 and -163/150. 9300 Calculate the lowest common multiple of 116 and 10404. 301716 What is the least common multiple of 1430 and 572? 2860 Calculate the lowest common multiple of 176 and 340186. 2721488 What is the lowest common multiple of 288 and 175008? 525024 Calculate the lowest common multiple of 395710 and 39571. 395710 Calculate the lowest common multiple of 90 and 3060. 3060 What is the smallest common multiple of 1024 and 7168? 7168 What is the lowest common multiple of 10829 and 18? 194922 Calculate the smallest common multiple of 24771 and 313766. 941298 What is the lowest common multiple of 3 and 113046? 113046 Find the common denominator of -71/6820 and -95/6. 20460 What is the lowest common multiple of 8 and 1541? 12328 Calculate the least common multiple of 3538 and 610. 17690 Calculate the lowest common multiple of 1430 and 134940. 1484340 Find the common denominator of -23/4927 and 4/1313. 497627 Calculate the common denominator of -43/2 and 89/602296. 602296 What is the lowest common multiple of 1716 and 156? 1716 Calculate the least common multiple of 7 and 5411. 5411 What is the common denominator of 73/278 and -42/233? 64774 Calculate the smallest common
{ "pile_set_name": "DM Mathematics" }
27. Let g(f) = 4*q(f) + 11*u(f). What is the hundreds digit of g(12)? 1 Let o(v) be the third derivative of 11*v**5/10 + v**4 + 23*v**3 + 3*v**2 - 36*v. What is the thousands digit of o(-5)? 1 Let r = 24366 + -13341. What is the hundreds digit of r? 0 Let m = -596 + 596. Suppose m = 7*r - 4258 - 1118. What is the tens digit of r? 6 Let w = -689 - -4753. What is the units digit of w? 4 Suppose b - 545 = -0*b. Suppose -5*h - 5*f - b = 0, -3*f = -4*h - 2*f - 431. What is the tens digit of 2/(-18) + (-7464)/h? 6 Suppose 3908 = 5*g - 4*y, 5*y + 516 = g - 253. Let z = g - 440. Suppose -14*r + 10*r = -z. What is the tens digit of r? 8 Suppose 0 = 22*w - 19*w - 123. Suppose 84 + w = 5*d. Suppose d*b - 21*b - 388 = 0. What is the tens digit of b? 9 Let v(r) = 2*r**2 + 26*r - 26. Let x be v(-14). Suppose 5*a = -x*f + 1225, -f = -186 + 181. What is the tens digit of a? 4 Let c(k) = 550*k - 26. Let x be c(2). Suppose -x = -a + 55*w - 51*w, -2*a + 2196 = 4*w. What is the hundreds digit of a? 0 Suppose 8 = 2*v - 74. Suppose -5*w + 3*l = -3*w - v, -5*w = -4*l - 92. What is the units digit of w + 0 + 4 + -3? 7 Suppose -9*t = -19*t + 11350. Let m = t - 684. What is the tens digit of m? 5 Let d(m) = -7732*m + 51. What is the tens digit of d(-1)? 8 Suppose 2*z - 5*s - 35 = 0, -2*s = 7 + 3. Suppose 0 = -z*w + 908 - 103. Let k = w + -72. What is the tens digit of k? 8 Suppose 6*l + 0*l = 48. Let a be 38*2 + l/4. Suppose -5*v - 4*c + 137 = 0, -4*v + 7*v - a = -c. What is the units digit of v? 5 Let g = -5476 - -8235. What is the thousands digit of g? 2 Let g = 157 + -90. Let u = 190 - g. What is the units digit of u? 3 Let t = -1 + -11. Let i = t + 29. Let r = 104 - i. What is the units digit of r? 7 Suppose 152*k - 4*a + 74114 = 155*k, a = -k + 24704. What is the thousands digit of k? 4 Suppose -t - h + 4810 = 0, -68*t + h + 14430 = -65*t. What is the thousands digit of t? 4 Let x(f) = 104*f + 380. What is the tens digit of x(101)? 8 Let u(h) = 18*h**2 + 6*h + 14. Suppose -19 = 2*k - 11. What is the units digit of u(k)? 8 Let n = -823 - -915. Let q be (-466)/(-3)*9/6. Suppose 13*f - q = n. What is the tens digit of f? 2 Let w(l) = 10*l**2 - 22*l + 232. What is the thousands digit of w(-33)? 1 What is the hundreds digit of ((-12)/(-21))/1 + (-296703)/(-231)? 2 Let r(k) = 197*k + 2051. What is the tens digit of r(41)? 2 Suppose -4*d - 44 = 156. What is the units digit of 352 - (d/15 - (-16)/12)? 4 Let u(b) = 7*b**3 + 18*b**2 - 4*b - 11. Let w be u(5). Suppose -4*i - r + 2588 = 0, -w = -2*i - 5*r + 9*r. What is the tens digit of i? 4 Let v(j) = j. Suppose u = -3*a - 11, 21 = -0*u + u - 5*a. Let l(s) = 40*s - 16. Let b(q) = u*l(q) - 4*v(q). What is the tens digit of b(3)? 9 Let i be (-1 - -7) + 3/(-1). Suppose 14*f = -i*f + 17204. Suppose -4*v - 3*a + f = 293, -2*v + a = -367. What is the hundreds digit of v? 1 Let l = -150 + 11. Let f = -125 - l. What is the tens digit of f? 1 Let q(x) = x**3 - x**2 - x - 4. Let t be q(0). Let k be t/6*3 + (3 - -38). Let l = k - -14. What is the tens digit of l? 5 Let m(o) = 3438*o - 2519. What is the thousands digit of m(4)? 1 Suppose -526768 = -38*g - 51917 + 222715. What is the ten thousands digit of g? 1 Suppose 123*s - 6209456 = 872761. What is the hundreds digit of s? 5 Suppose 29*b - 22*b = 21. Suppose k - 30 = -3*m + 84, -3*k = -b*m - 318. What is the hundreds digit of k? 1 Let l(u) = -25*u + 164. What is the hundreds digit of l(-13)? 4 Let c(i) = -42*i**2 + 3*i - 11. Let n be c(-7). Let a = -1111 - n. What is the tens digit of a? 7 Suppose -2 = -98*y + 97*y. Suppose r + r + 2*v - 8 = 0, -11 = -3*r - y*v. Suppose r*w - 190 - 179 = 0. What is the tens digit of w? 2 Suppose -10*j - 18339 = -66349. What is the units digit of j? 1 Let s be (-306)/(-24) - 35/(-28). Suppose -3976 = 6*i - s*i. What is the units digit of i? 7 Suppose -42*a + 47*a - x - 153930 = 0, -153930 = -5*a - x. What is the tens digit of a? 8 Suppose 5*d = 17*d + 2436. Let b = -95 - d. What is the hundreds digit of b? 1 Let n(l) = l**2 + 38*l + 113. Let i be n(-35). Suppose -i*m = 460 - 3700. What is the hundreds digit of m? 4 Let t = 4 + 1. What is the tens digit of 145*(t - 4) - -4? 4 Let l be (32/(-24))/(2/(-33)). What is the units digit of (-4)/l + ((-190236)/(-132) - 1)? 0 Let q(m) be the third derivative of m**4/4 - 17*m**3/6 - 16*m**2. Let b be q(4). Suppose -b*g + 347 = 109. What is the tens digit of g? 3 Let v(o) = 3921*o**3 - 6*o**2 - 7*o + 8. What is the ten thousands digit of v(2)? 3 What is the tens digit of (174/30 - 6) + ((-1286688)/(-40) - -6)? 7 Let p(c) be the third derivative of 9*c**5/20 - c**4/6 - 16*c**3/3 - 46*c**2. What is the tens digit of p(-4)? 1 Suppose 5 = -r + 5*i + 110, -3*r + 4*i = -326. Let u = -7 + r. What is the units digit of u? 3 Suppose -3*a + 569 = d, -4*a - 5*d + 565 = -a. Suppose -4*s = 34 - a. Suppose 4*o = -s + 135. What is the tens digit of o? 2 What is the tens digit of (-2 + -2807)*19/(-1)? 7 Suppose 2*t = -3*t + 25. Suppose 5*f + t*z = 980, -720 - 64 = -4*f + 5*z. What is the tens digit of f? 9 Let y = 991 + 262. Let k = y + -438. Suppose 5*u - 5*z - k = 0, 3*u + 0*z - 2*z - 491 = 0. What is the units digit of u? 5 Let t = -43402 - -69166. What is the tens digit of t? 6 Let r = 1002 + 12594. What is the hundreds digit of r? 5 Let v = 29379 + -14157. What is the tens digit of 3/(-15) + (v/10 - -1)? 2 Let p = 6612 + -4972. What is the thousands digit of p? 1 Let n(q) = 277*q**2 - 429*q - 5498. What is the hundreds digit of n(-13)? 8 Let y(q) = 32*q**3 - 9*q**2 - 43*q + 323. What is the units digit of y(6)? 3 Suppose -3*y + 6320 + 11733 = 2*n, -2*y + 12017 = 5*n. What is the thousands digit of y? 6 Let a(y) = 5*y**2 - y + 24. Let d be a(5). Suppose -b = -2*s + 349, b - d = -s + 29. What is the units digit of s? 4 Let h = 163 - 821. What is the hundreds digit of ((-23)/(1288/(-96)))/((-4)/h)? 2 Let c(t) = 6*t - 8*t - 4 + 3*t. Let v be c(-3). Let y(x) = x**2 + x + 14. What is the tens digit of y(v)? 5 Suppose 3*v + 13 = 5*y, -4*y + v + 0*v = -9. What is the units digit of (2/(y/11))/(27/81)? 3 Let h = -2374 + 11739. What is the units digit of h? 5 Suppose 0 = 2*v - 6*d - 41646, -6*d + 62497 = 3*v - 8*d. What is the tens digit of v? 3 Let t = 3027 - 2691. What is the tens digit of t? 3 Let g(x) = 728*x**2 - 13*x - 11. Let w be g(-3). Suppose -13*k - w = -27*k. What is the tens digit of k? 7 Let z = -90 - -94. Suppose 0 = z*q + 2*y + 38, -5*y - 4 = -7*q + 4*q. Let f(n) = 5*n**2 + 6*n - 27. What is the tens digit of f(q)? 7 Let x = 55 - 57. Let k be (-2 + -6)*x - -2. What is the tens digit of (-3)/(k/(-478)) + (-10)/(-30)? 8 Let t = -376 + 709. Suppose -3*a = -p - t, -4*a - 209 = -6*a + 5*p. What is the units digit of a? 2 Suppose -2222647 = -56*m - 653695. What is the thousands digit of m? 8 Let j = 18631 + -11109. What is the tens digit of j? 2 Let i = -15 - -21. Suppose -4*g = -i*g - 2, 4*v = -2*g + 1778. What is the hundreds digit of v? 4 Let d be (-117)/(-17) + (-4)/(-34). Let m(r) = 11*r + d - 3 - 2*r - 1. What is the units digit of m(3)? 0 Let l be 6/18 + (-2607)/(-9). Let y = l - 35. What is the units digit of y? 5 What is the hundreds digit of -16*(((-320540)/72)/11 + 4/18)? 4 Suppose -1 = 4*c + 11. Let f be 181 + -1 + (5 - (c + 7)). Suppose 0 = -5*p + o + 697, -p - 46 + f = 2*o. What is the units digit of p? 9 Let z be -30*(1 - 1017/15). Suppose 0 = 2*x - z + 480. What is the hundreds digit of x? 7 Suppose 886626 = 162*b - 45*b. What is the tens digit of b? 7 Let d = -6 + 14. Let o(t) = -t**3 + 9*t**2 - 7*t - 6. Let s be o(d). What is the units digit of 1 + 58 + 0 + s? 1 Let v = -5403 - -9735. What is the hundreds digit of v? 3 Suppose -9 - 3 = -3*l. Suppose 0 = -5*d + 34 - l. What is the hundreds digit of ((-28)/d)/(-2*4/192)? 1 Suppose 26*h = l + 27*h + 2532, -2*l + 4*h = 5088. What is the units digit of l/(-3)*10/(320/24)? 4 Suppose 242*q + 19260 = 260*q. What is the units digit of q? 0 Suppose 5*s = -15, 5*q - 20539 = -5*s + 16491. What is the thousands digit of q? 7 Suppose 580820 = -2472*o + 2547*o - 2518630. What is the thousands digit of o? 1 Let i(r) = -3890*r - 15108. What is the ten thousands digit of i(-14)? 3 Let q = 1330 - 687. What is the units digit of q? 3 Suppose 26*w - 27*w = -5*c + 39546,
{ "pile_set_name": "DM Mathematics" }
at is the smallest value in 6, 31/5, 60, -3/2, -3, -655? -655 What is the third smallest value in 0.02, 491033, 0.44? 491033 What is the fourth biggest value in -29, -4, 0.83, 3, 3/134? -4 What is the fourth biggest value in -5/13, 4, 2/5, 1, -24, -67, -0.1? -0.1 Which is the smallest value? (a) 219986 (b) -7 (c) -0.005 b Which is the fourth biggest value? (a) 654/17 (b) -121 (c) 0.2 (d) 0.5 (e) -1/4 e What is the biggest value in 1, -5, -2/5, 6212, 5, 0.1, -1/3? 6212 What is the third biggest value in -1/2, -1/7, 39893, 1/54, 0.1? 1/54 Which is the fourth biggest value? (a) -1 (b) -13 (c) 0.1988 (d) 1.6 b Which is the fifth smallest value? (a) 16/31 (b) 0.2 (c) -2/11 (d) -19 (e) 5 (f) 1 f Which is the third smallest value? (a) 0.4 (b) 130997 (c) -14/25 b What is the sixth smallest value in -0.05, -0.2, -7, -3/7, -1/136, -0.34? -1/136 Which is the biggest value? (a) -9 (b) -4/1641 (c) -15.6 b What is the sixth smallest value in 0, 64, 29, -3/2, 0.3, -5/8, -2? 29 Which is the second biggest value? (a) -2.8 (b) 0 (c) 3 (d) -20.98 (e) 5 (f) 4 f What is the third smallest value in -1/116931, -1, 2? 2 Which is the second biggest value? (a) 4 (b) -6.26 (c) -0.049061 c Which is the fifth smallest value? (a) 1.6 (b) 8/15 (c) -1 (d) -0.5 (e) -7/4 (f) -4/29 b What is the biggest value in -0.326, 4, -0.92, -83? 4 Which is the third smallest value? (a) -15.2 (b) -42/193 (c) 2 (d) -5 (e) -1/6 b What is the biggest value in -0.5, -12.7, -14579, 0.07? 0.07 Which is the fifth biggest value? (a) -2/7 (b) 0.5246 (c) 9 (d) -1/8 (e) 1/3 (f) -2/15 f What is the fourth smallest value in -13, -5, -27, -0.7, 23? -0.7 Which is the fourth biggest value? (a) 8/15 (b) 1/5 (c) 0.1 (d) -0.12 (e) -6 (f) 3 c What is the sixth biggest value in 3.6, -2/9, 76, -0.05, 8, 0.2? -2/9 Which is the fourth smallest value? (a) 13.507 (b) 4 (c) 3/4 (d) -1 (e) 0 (f) 12 b What is the smallest value in -138, -5, 807, 10? -138 What is the sixth biggest value in 0.19, -4, -11, -2/91, -0.3, 0.5, -0.5? -4 What is the fifth smallest value in 22, 31/4, 24, 0.5, -8? 24 Which is the biggest value? (a) -2.34 (b) 5/443 (c) 4 c What is the biggest value in 3, -280.3, 72/7, -2? 72/7 What is the fourth biggest value in 4/11, 4, 0.24, 1874? 0.24 Which is the second smallest value? (a) -4791634 (b) 4 (c) 3/4 c Which is the third biggest value? (a) 315 (b) 14.95 (c) 5 (d) -0.5 (e) -1/4 c Which is the sixth biggest value? (a) 0.23 (b) -0.4 (c) 2/55 (d) 222 (e) 0.2 (f) 1 b What is the third smallest value in -3, -0.3, -151, 5, -13? -3 Which is the smallest value? (a) 114517 (b) 138/11 (c) 4 c What is the smallest value in -4, -74, 0.1, -12/11, -2/23, 0.3, 0.02? -74 What is the third smallest value in -1, 20, -12/5, -110.2? -1 Which is the biggest value? (a) -1.2 (b) -9.15 (c) -2/699 c What is the second biggest value in -4987/4696, 2/3, 2? 2/3 What is the second smallest value in 5, -2, -209, 119, -30, -5? -30 Which is the smallest value? (a) 0.9025 (b) 207 (c) -1 c What is the sixth smallest value in 6, 14, 56, -14552, -4, 0.4? 56 What is the fourth smallest value in 165, 2, 2/9, 1/9, 1/6, 5, 18/5? 2 Which is the fourth biggest value? (a) -0.09 (b) -54/11 (c) -1/13 (d) -3841 (e) 3 b Which is the third smallest value? (a) 0.4 (b) 0.14 (c) 1 (d) 4 (e) -45429 (f) 3 (g) 0 b Which is the fifth smallest value? (a) -3 (b) 0.12 (c) -4 (d) -4/3 (e) 3/1556 b What is the biggest value in 5, 7, 2279/72? 2279/72 Which is the sixth biggest value? (a) -4 (b) -6 (c) -5 (d) 1/3 (e) -2/5 (f) -4/3 (g) -838 b Which is the second smallest value? (a) -4714.3 (b) 3/2 (c) 2/9 c Which is the second smallest value? (a) -11048 (b) 0.02 (c) 0.4 (d) -29 d What is the second biggest value in 2, 3/5, 2/5, -0.11, -15133? 3/5 What is the third biggest value in 5, 241492, 2? 2 Which is the second biggest value? (a) 1/3 (b) 5 (c) 20 (d) -7484.7 b What is the sixth biggest value in 0.0097, -3/8, -1/7, -1, 9, -0.5, -0.3? -0.5 Which is the sixth biggest value? (a) 495 (b) 0.3 (c) 3/4 (d) -2 (e) -1.18 (f) -1 d Which is the biggest value? (a) 1/2 (b) -0.2 (c) -3/8 (d) -1 (e) -5 (f) -18.5 (g) -3 a Which is the third smallest value? (a) 0.9 (b) 1349377 (c) 22 b Which is the smallest value? (a) -3871 (b) 0.5 (c) 1/8 (d) 1/5 (e) -2/149 (f) 0.7 a Which is the fourth biggest value? (a) 5 (b) 2/9 (c) -0.12 (d) 0.2227 (e) 2 (f) 22 d What is the fourth biggest value in -1.741, 1/7, 1/9, -0.1, 0.09, -2/3, -4? -0.1 Which is the fourth smallest value? (a) -4 (b) -26475 (c) -198 (d) -0.2 d What is the smallest value in -1386, 1.649, 0.05? -1386 What is the fifth smallest value in -2/11, 0.1, 145, 5, -2/27? 145 What is the second biggest value in 3/5, -4, 5, 12049, -1/5? 5 What is the smallest value in -28, -1134104, -1? -1134104 What is the smallest value in 18/43, -39, 0.5, -16? -39 Which is the third biggest value? (a) -0.1 (b) -2/5 (c) -1 (d) 1 (e) 3 (f) 2 (g) 7/33 d What is the smallest value in -0.415, 0.29, -231? -231 What is the third biggest value in -2/7, -3, 4/3, 2, -1/4, -0.0112, 2/5? 2/5 What is the second smallest value in -1446307, 0.07, 2/11? 0.07 What is the second biggest value in -0.5, 363, -16512? -0.5 Which is the second biggest value? (a) 0.4 (b) 2/7 (c) -28.86 (d) 6 (e) -0.1 (f) 4 (g) 5 g Which is the second smallest value? (a) 5 (b) 1/5 (c) 2 (d) -2 (e) -1125598 (f) -1/11 d What is the seventh biggest value in 0.5, 0.3, -6, 10, 1, -0.1, 6/233? -6 What is the third biggest value in -3/5, 0.623, 0.4, 626? 0.4 What is the third smallest value in 4/3, -1.5924, 87? 87 What is the fourth biggest value in -0.0764, 2.1, 0.6, 2, -3? -0.0764 What is the biggest value in -19, 5/4, 27, 0.4, -794, 1? 27 What is the third biggest value in -25343572, 1, -6/7? -25343572 Which is the smallest value? (a) 12 (b) 0.182 (c) 18 (d) 0.4 (e) -0.1 (f) -1 f What is the smallest value in -28, -1, 8281/90? -28 Which is the sixth smallest value? (a) 3 (b) 1 (c) 9 (d) -3 (e) 5923 (f) -0.1 e Which is the second smallest value? (a) -2/52481 (b) -9 (c) -3 (d) 0 (e) -0.3 c What is the biggest value in -3/106, -2, 1172, 1? 1172 Which is the third smallest value? (a) 0.1 (b) -599 (c) 5 (d) -5 (e) -2/15 (f) 2 (g) -4/7 g Which is the third biggest value? (a) 1382048 (b) -15/2 (c) -3/2 b Which is the third biggest value? (a) -81 (b) -21 (c) -1 (d) -2 (e) -1/2 (f) 2/7 (g) -3 c Which is the sixth smallest value? (a) 11 (b) 4 (c) -0.1 (d) 10778 (e) -4 (f) 3 d Which is the seventh smallest value? (a) -2/17 (b) -182 (c) 11 (d) -13 (e) -2/9 (f) 0 (g) -2 c Which is the second smallest value? (a) -1/3425 (b) -31/2 (c) 50/9 a Which is the second biggest value? (a) 0 (b) 1.366 (c) 1/10 (d) 0.3 (e) -10 (f) -0.1 d Which is the biggest value? (a) -14 (b) 4 (c) 1 (d) 10474 d Which is the third smallest value? (a) -5 (b) -0.13 (c) -3 (d) 0.9221 (e) -0.1 (f) 0 b What is the third biggest value in 3, 728/5, 1/3, -77555? 1/3 What is the fourth smallest value in -0.09, 1/2, 4, -2/9, -5, -50, 0.4? -0.09 What is the second biggest value in 733, 0.5, 0, -4, 91.73, -5? 91.73 What is the sixth smallest value in -2/5, 2, -1, 0, 166, 8? 166 Which is the third biggest value? (a) -8480099 (b) 0.07 (c) -3/5 (d) -2/3 d What is the smallest value in -15/8, -14, -4/7, -6, -0.4, 1/3, 4/5? -14 What is the seventh smallest value in 0.3612, 4, 1/2, -0.4, 19, 0.1, 3/5? 19 Which is the fourth smallest value? (a) -0.1 (b) 3/4 (c) 0.3 (d) -4.1443 (e) 0.5 (f) -0.5 c Which is the fourth biggest value? (a) 4 (b) 564 (c) -56/5 (d) 3/11 c Which is the fourth smallest value? (a) -5 (b) 33/8 (c) -0.2 (d) 32 (e) -1/7 b Which is the smallest value? (a) 9997 (b) 1/5 (c) -100 c What is the fourth smallest value in 34, -2/1421, 1/3, -5, 0.8, -4? 1/3 Which is the fourth biggest value? (a) 726 (b) 0.3 (c) -2 (d) -7 (e) 0 (f) -0.1 f Which is the fourth smallest value? (a) 0.1 (b) 6/11 (c) -0.2 (d) 1.5 (e) -3 (f) -0.249 (g) 3/4 a What is the sixth biggest value in 71022, -1/21, 0.5, -2, 0.3, -0.4? -2 What is the sixth biggest value in -1.2, -4, 22/15, 0
{ "pile_set_name": "DM Mathematics" }
ose -58*g - 13 = -45*g. What is the closest to 5 in b, 4, g? 4 Let t = -1.5 + 1.2. Let y = 13.74 - 14. Let m = -2.26 - y. Which is the closest to -0.4? (a) m (b) -5 (c) t c Let p = -0.037 + -0.063. Which is the nearest to 0? (a) -4 (b) 14 (c) p c Let o be 2 - -2 - (-2)/(-1 - 1). Let q = 4798447/145 + -33093. Let l = q + -4/29. Which is the nearest to l? (a) -2 (b) -5 (c) o a Let y = -63 - -62.874. Let l = y + 0.026. Let s be 0 - (2 + (-4)/3). Which is the nearest to s? (a) 3 (b) l (c) 0 b Let i = -2.409 - -2.459. What is the closest to i in 4, -4, 0.2, -3? 0.2 Let y be 10/24 - 2/3. Let p = -100 - -90. Let o be 35/p - 4*3/(-3). Which is the closest to y? (a) 0 (b) -0.1 (c) o b Let s = 2/457 - -2720/5027. What is the nearest to s in -4, 0, -0.3? 0 Let m = -4.3 + 0.3. Suppose -4*j + 26 = -5*x, -j + 6 = x + 4. Which is the closest to 2? (a) -0.1 (b) m (c) j c Let a = 600.7 - 601. What is the closest to -2 in 0.1, a, -3/2, -2/9? -3/2 Let d = 8 + -6. Let r = -290 - -293. What is the nearest to 0 in r, -4, d? d Let f = -46/7 + 361/56. Let u = 0.3 + -0.4. Let t = -1/1023 - -2053/7161. What is the closest to u in -2, t, f? f Let x = 880 - 6162/7. What is the nearest to x in 2, 6/13, -2? 6/13 Let z be 1/(-1)*(-14 + 13). What is the closest to z in 3/8, 5, -2? 3/8 Let s = 629/28 - 159/7. Which is the closest to -2? (a) s (b) 3/5 (c) 3 a Let a = -3 - -2.7. Let t be (-16)/(-30) + 2/(-10). Suppose -3 + 0 = -3*p. What is the nearest to -1/2 in a, p, t? a Let o = 1447 + -1444. What is the closest to -2/5 in o, 4, -1/15, -2/11? -2/11 Let x = -3 + 5/2. Let l = 0 + 9. Let i be (l/30)/(1/(-12)) + 4. What is the nearest to 0 in 1, x, i? i Let i = 5 - 2. Let t be -3*1 + (-24)/(-9). Let g = 23.9 + -24. What is the closest to t in g, -4, i? g Let u be (-138)/336 + (-4)/(-32). Let x = -1 - -0.5. What is the closest to x in u, 0.2, 0.3? u Let n = -0.27 - -0.13. Let r = n - -0.44. What is the closest to 0.1 in 5, 2/7, r? 2/7 Let w be (-31)/(-18) + (-6)/4. Let j = -3.92 + -0.08. Let r be ((-4)/(-8))/(12/(-6)). Which is the nearest to w? (a) r (b) 5 (c) j a Let s = -1046 - -1039. What is the nearest to 5 in s, -0.5, 0? 0 Let i be 12/4 + (-7)/(28/(-12)). Which is the nearest to 0? (a) 13 (b) i (c) 0.5 (d) 1 c Let c = 0 - -0.5. Let s = 14 + -12. Let y = s + -2. What is the nearest to y in c, -2, 3? c Let a = 20 - 20.5. Let x be 4/7*-6*21/180. Let l = 0 - -2. What is the nearest to -2 in l, x, a? a Let w be (12/10)/((-6)/15). Let x(h) = h**2 + 6*h + 3. Let o be x(w). Let p be (-20)/(-12)*o/2. Which is the closest to -2/3? (a) 2/9 (b) p (c) -3 a Let j(z) = -5*z**2 - 44*z + 40. Let x be j(-9). Which is the nearest to x? (a) 2 (b) -1/5 (c) 0.4 a Let m = -2.1 - -2. Suppose 5*w + 4*z = -41, 3*w + 5*z = -21 - 14. Let q(s) = s - 6. Let y be q(10). What is the nearest to -1/4 in w, m, y? m Let w = 3.63 - 1.63. What is the closest to -3 in 3, w, -5, 5/4? -5 Let u = 2.154 - 2.254. Let q = 4.7 + -5. What is the nearest to 0 in q, u, -2.6? u Let m = -61 - -791/13. Let l = -1444 + 1449. Which is the nearest to m? (a) 3/7 (b) -2 (c) l a Let k be 4/(-7) - (-5 + 4). Suppose -4*a - 5*d + 3*d = 22, -a - 7 = 2*d. Let v(x) = x**2 + 3*x - 5. Let p be v(a). What is the nearest to 0 in p, -1/9, k? -1/9 Let q = -156.7 - -160.7. Let y be (-16)/10 + (-2)/5. Which is the closest to -0.1? (a) y (b) q (c) -4/3 c Let z = 8943/5 - 1788. What is the nearest to -2/13 in z, 2, -2, 3? z Let d = 4.8 - 9.8. What is the nearest to 2 in 4, 0.5, d? 0.5 Suppose 5*o = 2*b - 2 + 20, 5*o = 3*b + 22. Suppose 20 = -9*l + 4*l. Let g be (l - -8)*o/12. What is the nearest to g in 0.5, -0.4, 2? 0.5 Suppose 5*y = 5*r + 15, 0 = 2*r - 5*r + 4*y - 14. Let u = -22.8 - -22. Which is the closest to u? (a) -3 (b) -0.2 (c) r b Let j = 0.375 - -0.025. Let v(m) = -m**3 - 4*m**2 + 3*m + 4. Let u be v(-3). Let g be 18/u + (0 - -1). Which is the nearest to -2/7? (a) j (b) 0.2 (c) g c Let w = 1158 + -1157.9. Which is the closest to 0? (a) -0.06 (b) -3 (c) w a Let d = -55.4 + 57.4. What is the nearest to -0.1 in 1, d, 5? 1 Let u = -54.9 - -54.7. Which is the closest to -0.3? (a) 3 (b) 2/11 (c) 0.3 (d) u d Let p = -1/458 + -901/6870. Which is the closest to 2? (a) p (b) 0.1 (c) -0.3 (d) 1 d Let z = -217 + 219. What is the nearest to z in 0.25, -0.2, -0.4? 0.25 Let w = 2.1 + -2. Let z = 8.57 - 8.87. Which is the nearest to w? (a) z (b) 2/7 (c) 5 b Suppose 0 = 4*n - x + 101, 26 = -2*n + 2*x - 32. Let q be -4*(-3 + (-69)/n). Which is the closest to 1? (a) -1 (b) 5 (c) q c Let g = -1.6 - -2.6. Let o = 424 - 2118/5. Which is the nearest to o? (a) -0.1 (b) g (c) 1/2 c Let y = 44.081 + -0.081. Let n = 43.6 - y. Let s be (9/(-12))/1*2. Which is the nearest to 0? (a) s (b) n (c) -0.3 c Let w = -47 + 44. Let i = 8 + -13. What is the nearest to 0.4 in i, -2, w? -2 Let t = -52197 + 2087993/40. Let g = 1387/8 - 176. Let s = t + g. Which is the closest to 2? (a) -5 (b) s (c) -0.2 b Let m = -23.972 + -0.028. Let l = -24 - m. Let r = 370 - 6292/17. Which is the closest to 5? (a) l (b) r (c) 0.1 c Let r = -16 + 20. Let y = 7 - 6.9. Let d = y - -0.5. Which is the closest to 1? (a) 2/7 (b) r (c) d c Suppose -3*s + y = -14, 0*s - 22 = -4*s + 3*y. Let z = 271.204 - 272. Let r = z - -0.196. Which is the closest to 1? (a) s (b) 1/2 (c) r b Let j = -138 - -140. Let r = 11 - 9. What is the closest to r in j, -2, 0.2? j Let x = 0.99 + 0.01. Let t = -477.9 - -478. Which is the closest to 2/7? (a) t (b) -2/17 (c) x a Suppose 4*a = -4*w + 36, -62*a + 59*a - w + 19 = 0. What is the closest to -5 in 3/2, a, 4/15? 4/15 Let v = 544.9 - 545. Which is the closest to 0.11? (a) 4 (b) -4 (c) 0.4 (d) v d Let r = -446 + 448. Let w be (-1 + (-15)/(-6))/(-3). What is the nearest to w in 0, r, 4? 0 Let x = 6/335 + 311/1340. Which is the closest to -3? (a) -1/5 (b) 0.4 (c) 0.5 (d) x a Let u = -1 - -2. Let y be -48*(-12 - 490/(-40)). Which is the nearest to -0.1? (a) 1/3 (b) u (c) y a Let f = -520 - -520. Let y = -0.06 + -0.04. Suppose 0 = -4*i - 5*o - 9 - 7, -3*o - 11 = i. What is the closest to y in -1, i, f? f Let f = 371 - 372. What is the nearest to 5 in 0, f, 0.5? 0.5 Let i = 0.38 - 0.08. Let a = 0.2 - i. Suppose 8*m - 4*m + 12 = 2*f, 0 = 4*f + 16. What is the closest to a in m, 1, -1/4? -1/4 Let f = 5099143/155 - 32898. Let o = f - 3/31. Which is the nearest to 3? (a) 1 (b) -0.3 (c) o a Let u(i) = 3*i + 4. Let j be u(-1). Let f be (-54)/(-40) + (-2)/2. Let a = f - 3/4. What is the nearest to 0.1 in -3/2, j, a? a Let i be (5 + 168/(-30))*30. What is the closest to 1 in -2, 0, i? 0 Let m = -4.1062 - -0.1062. Let p be ((-6)/(-4))/(0 - -3). What is the closest to p in 6, m, -1/6? -1/6 Let f = -306.966 + 309. Let y = 0.034 - f. What is the nearest to 2/3 in 0, -5/2, y? 0 Let j be ((-55)/14 + 4)/((-5)/(-20)). Let s = 20 - 17. What is the nearest to -1/5 in j, s, -17/4? j Let h = -4.461 - -0.461. Let a = -5.8 - -6. Let i = -2.2 + a. What is the closest to 0 in 0, i, h? 0 Let l = -48 + 47.7. Let s = 4 + -3.6. What is the nearest to 1 in s, 4/3, l? 4/3 Let m = 173.26 - 174. Let z = -0.26 + m. Which is the nearest to -1? (a) z (b) 0.4 (c) -0.3 a Let q = -2.1 - -2. Let t = -3.789 + -0.211. What is the closest to -4 in q, t, -3/5? t Let q be 1 - (42/10 + -2). Let o be 1/2*-3*4. Which is the closest to 0.1? (a) o (b) -2 (c) q c Let z = -251 + 253. What is the closest to 0 in 3, 0.9, 3/5, z? 3/5 Let c be 20536/(-906)*(1 - (-7)/(-4)). What is the nearest to -0.1 in c, 4, -0.08? -0.08 Let x = 80 - 93. Which is the nearest to 1/2? (a) -3 (b) 4/5 (c) x b Let k be (-6)/10 - (-735)/975. Let l = 3 + 0. Let h = -244/3 - -82. What is the closest to h in k, l, -1? k Let x be 5*8*4/40. Let j be (-2)/x + (-76)/(-8). Suppose 4*s - 24 = -2*q, q + 0*q - 2 = 0. Which is the nearest to 1/2? (a) s (b) -1/4 (c) j b Let h = -16.87 + -0.13. Let j = -21 - h. What is the closest to -1 in j, 0.1, -2/11? -2/11 Let f = -1.18 + -8.62. Let d = f + 10. Let w(s) = s**2 + 4*s - 4. Let r be w(-5). What is the nearest to 1 in r, d, -0.5? r Let i = 102 + -107. Let x be 3/(-6)*4/2. Let g(j) = 2*j**2 + 2*j + 1. Let z be g(x). Which is the closest to z? (a) 0 (b) i (c) -0.06 a Suppose 0 = 3*y + 3, y + 2*y - 1 =
{ "pile_set_name": "DM Mathematics" }
/7) assuming q is positive. q**(-1644/287) Simplify ((g**14*g*g**(-6/5))**(10/7))**42 assuming g is positive. g**828 Simplify (s**(-17)/s*s**0)/(((s/s**16)/s)/s)**32 assuming s is positive. s**526 Simplify (c*(c/c**(-7))/c*c)**(-2/3)*c**(-1/4)*c**(-2) assuming c is positive. c**(-33/4) Simplify ((d/(d*d**(-9/5)))/(d**9*d))**(2/99) assuming d is positive. d**(-82/495) Simplify ((y**(-2/35)/y*y)/y)**(-20)/((y/(y*y**(-18)))/y)**(4/9) assuming y is positive. y**(856/63) Simplify (t**(-2))**43/(t**7*t)**(-1/15) assuming t is positive. t**(-1282/15) Simplify ((d**(-19)/d)/(d/(d*d/((((d*d**20*d*d)/d*d*d)/d)/d)*d)))/(d/(d*d**(4/5)*d))**34 assuming d is positive. d**(106/5) Simplify ((y/(y/y**(-1/8)))/(y**(-5/3)*y))/((y*y**2)/y)**(-8/11) assuming y is positive. y**(527/264) Simplify (b**(-7/4)/(b*b/((b**23/b*b)/b)))/((b*(b**(-18/11)*b)/b)/b**(-1/10)) assuming b is positive. b**(4133/220) Simplify ((w**(-1/5)*w*w**(-17)/w)**(-11/3))**35 assuming w is positive. w**(6622/3) Simplify (k**(-1/5)*k**7/k)/(k/(k*k**(-4))*k)**(3/25) assuming k is positive. k**(26/5) Simplify (x**(2/13)/x)**(-2)*(x**(-2))**(2/7) assuming x is positive. x**(102/91) Simplify (v/((((v**(-8)/v)/v)/v)/v))/v**(-3/11)*((v*v/(v/(v/(v*v**(-6/11)*v))))/v)/v**(-4) assuming v is positive. v**(185/11) Simplify (z*(z**(-3)*z)/z*z)**1/(z**(3/5))**(-23/4) assuming z is positive. z**(49/20) Simplify (r*r/(r**1/r)*r*r**(1/12)*r**0*r/(r*((r/(r**(-1/7)/r))/r)/r*r))**(-4/43) assuming r is positive. r**(-163/903) Simplify ((b*b**(-14/11))/(b**12*b))/((b*b**18)/b**23) assuming b is positive. b**(-102/11) Simplify p*p*p**(-6)/p*((p**(-2)/p)/p)/p*(p/p**(-4/7))/p**5 assuming p is positive. p**(-94/7) Simplify r*r**(-25)*r*r*r**(-25)*(r/(r/r**(-1/10)))**(1/2) assuming r is positive. r**(-941/20) Simplify ((v**(-2/13)/((v*v**(-6))/v))/(v**(-3))**13)**(-5/13) assuming v is positive. v**(-2915/169) Simplify (u*u**(-12)/u*u/u**14)/((u*u*(u**(-5)/u)/u*u)/(u*u**(-3/13)/u)) assuming u is positive. u**(-276/13) Simplify (q**(-5/7)/q*q*q**(-1/26))**(-3/2) assuming q is positive. q**(411/364) Simplify (d/(d/d**(-1/5)*d))**4/(d**(4/5))**34 assuming d is positive. d**(-32) Simplify ((t**20/(t/(t*t/(t**(15/2)*t)*t)))**(-24))**26 assuming t is positive. t**(-8424) Simplify h**(2/37)*h**13*(h**6*h)**(1/20) assuming h is positive. h**(9919/740) Simplify (b*b*b**(-3)*b*b*b)/b**(1/8)*(b**(-2)*b)**41 assuming b is positive. b**(-313/8) Simplify ((t**(-23)*t)/t*t)**(14/13)*((t/t**(8/3))/t)/t**(-27) assuming t is positive. t**(25/39) Simplify (o*o**31*o**21)**(8/13) assuming o is positive. o**(424/13) Simplify (l**(2/45)*l)/l*l*(l*l**(-13)/l*l)/l*l/l**(1/5)*l*l**(-17) assuming l is positive. l**(-1222/45) Simplify (((s**(1/2)*s)**(-46/3))**(-2/9))**(-1/35) assuming s is positive. s**(-46/315) Simplify (x/(x**(-1/2)*x)*x/(x*x*(x*x**31*x)/x))**(-1/7) assuming x is positive. x**(65/14) Simplify (o*o*o/(o*o**2)*o)**14*(o**(1/3)*o*o)/o*o**(-2/41) assuming o is positive. o**(1880/123) Simplify ((r/r**13)/r)/(((r/(r/(r/(r**(3/5)*r))))/r)/r*r)*(r**3*r)**33 assuming r is positive. r**(603/5) Simplify (t/t**(-20)*t/(t*(t/(t/(t**20/t)))/t)*t)/(t*t**1/t)**32 assuming t is positive. t**(-28) Simplify (r**(-7/6))**4*r**(-15)*r*r*r**(11/5) assuming r is positive. r**(-232/15) Simplify (m*m/(m**14*m))/m*m*((m/(m*m**2))/m*m)/m*m**10/m**4 assuming m is positive. m**(-10) Simplify (x/x**(1/6)*x*x**(6/11)*x)/(x/((x/(x*x/(x**(-12)*x)*x)*x)/x))**(-12/11) assuming x is positive. x**(1231/66) Simplify (f/(f**(-2/37)/f)*f**2)/(f**6*f**(-2)) assuming f is positive. f**(2/37) Simplify (a/a**(-6))/a*a**(-2/5)*((a/a**(2/15))/a)/(a*a*a/(a*a**(-2/11)*a*a)*a*a*a) assuming a is positive. a**(377/165) Simplify ((t**(7/4))**(-25))**(-20) assuming t is positive. t**875 Simplify (((x*x**(-1/2))**(-2/7))**(3/4))**(-4) assuming x is positive. x**(3/7) Simplify q**(-3/2)/(q*(q/(q/q**(2/17)))/q)*(((q*q*q**(2/53))/q)/q)/q*q/(q**(-2/11)/q)*q*q assuming q is positive. q**(31753/19822) Simplify (((f*f**2*f)**25)**(2/5))**5 assuming f is positive. f**200 Simplify ((g**(4/3)*g/g**1)/((g/g**(-4))/g**(-6)))**(-1/15) assuming g is positive. g**(29/45) Simplify (((v**(2/3)*v)**5)**18)**32 assuming v is positive. v**4800 Simplify (s/s**(2/5))**(-12)*(s**11/s)/(s/s**(-9/2)) assuming s is positive. s**(-27/10) Simplify (((m**22*m)/m*m*m*m)/m*m**(1/21))/(m/(m*(m**(2/19)*m)/m)*m)**(-43/4) assuming m is positive. m**(53731/1596) Simplify a**(-1/8)/(a**(3/2)/a)*((a*a**(-1/10))/a)**(2/21) assuming a is positive. a**(-533/840) Simplify ((g/(g/g**(-12))*g)/(g/(g**(-27)/g)))**29 assuming g is positive. g**(-1160) Simplify (h/(h/h**(2/7)))**(-2/11)/(h*h**4)**(-10) assuming h is positive. h**(3846/77) Simplify (k**9/k*k)**(-46)/(k**(-3/4)/k)**(-13/3) assuming k is positive. k**(-5059/12) Simplify a*a*(a**(-1)*a)/a*a**(-8)*(a*a**(6/5)*a)/a**10 assuming a is positive. a**(-69/5) Simplify ((k*k**15)/k)/k**(-2/13)*(k**3)**(6/11) assuming k is positive. k**(2401/143) Simplify (h/(h*h**(3/8)))/(h/h**(-15))*h*(h*h**(-13)*h)/h*(h/h**11*h)/h assuming h is positive. h**(-299/8) Simplify ((g**(-20))**(-3/23))**(-44) assuming g is positive. g**(-2640/23) Simplify h**(-1/7)*h**(2/21)/h*h/h**2*h*(h**14/h)/h assuming h is positive. h**(230/21) Simplify (s**14/(s*s*(s*s**14)/s))/((s*s/(s**12*s))/s*s*s**(-6/7)) assuming s is positive. s**(69/7) Simplify (g*g*g/((g**(-2/5)/g*g*g)/g))**20*(g**(-1/3))**(-46) assuming g is positive. g**(250/3) Simplify (c*c/((c/(c**(-2/19)*c*c))/c))**30/(c/c**(-9)*c**(9/5)) assuming c is positive. c**(9979/95) Simplify (((y*y**(-1)*y)/y)/y)**(1/4)*y/y**(-2/3)*y*y*(((y*(y*y**(-1))/y*y*y)/y)/y)/y assuming y is positive. y**(29/12) Simplify b/(b*b**(-7))*b*b/((b/(b*b**(-40)/b)*b)/b)*((b**(3/23)/b)/b)**(2/11) assuming b is positive. b**(-8182/253) Simplify d**(-6/5)*d**(-15)*(d/d**(5/6)*d)/(d/(d**(-11/3)/d)) assuming d is positive. d**(-207/10) Simplify (((s*s/s**5)/s*s*s)/(s*(s/(s**(-1)*s)*s)/s*s))/(s*s**(-17)*s/s**(-9)*s*s) assuming s is positive. 1/s Simplify ((j*j*j**(5/8)*j)/j*j/j**(1/40))/(j*(j**(-2/31)*j)/j*j**1/j) assuming j is positive. j**(413/155) Simplify ((t/(t*t**(7/2)))**(-4/17))**(-12) assuming t is positive. t**(-168/17) Simplify (g**(-7))**(-3/43)*g**(7/6)*g/g**15 assuming g is positive. g**(-3185/258) Simplify (t**(4/11)*t*(t*t**(2/35)*t)/t)/(t/(t**7*t))**23 assuming t is positive. t**(62917/385) Simplify ((j**(-2/21))**16)**12 assuming j is positive. j**(-128/7) Simplify ((p**(2/3)/p)/((p/(p*p*p**25*p))/p*p))/(p*p**9)**(-12) assuming p is positive. p**(440/3) Simplify (h**(2/3)*h)/(h*h*h/(h*(h/((h**(-7/4)/h)/h)*h)/h*h)*h)*h**5/h**8 assuming h is positive. h**(17/12) Simplify (n**4)**(-21)*n**4*n**(-5) assuming n is positive. n**(-85) Simplify ((h**5*h**(1/6))/(h**0*h*h)**13)**(-8/13) assuming h is positive. h**(500/39) Simplify (t/(t/(t/((t*t**(4/3))/t))))/t**(3/7)*(t/t**(1/20))/t**(2/5) assuming t is positive. t**(-89/420) Simplify ((t*t*t**3*t*t**(-2/9)*t)/(t**(-8)*t*t/(t*t*t/(t*(t*t/t**(-2/33))/t)*t)*t))**14 assuming t is positive. t**(19012/99) Simplify (t**(2/29)*t)/(t*t*t/(((t/t**(-2/7))/t)/t)*t)*(t*t/t**0*t)**(-4) assuming t is positive. t**(-3176/203) Simplify r**(-3)/r*r*r**9*r/r**(-5)*r*(r*r**(-2/33))/r assuming r is positive. r**(427/33) Simplify ((h**1*h*h)**(-20)/(h**(-2/7))**(-45))**(-47) assuming h is positive. h**(23970/7) Simplify (((c*c/(c*c/(c*c**(1/4)))*c)/(c/(c*c*c**(-2/13)/c*c)))/(c**11*c**(-3/5)))**(-1/11) assuming c is positive. c**(1899/2860) Simplify (q**(1/2))**(2/11)/(q**(-3/11)*q/q**(-6)) assuming q is positive. q**(-73/11) Simplify u**8*u/u**(4/9)*(u*u**(-2))**(-4/33) assuming u is positive. u**(859/99) Simplify ((a**0*a)**(-1/20)*(a/(a/a**(-1/6)*a))/a**(-2/21))**41 assuming a is positive. a**(-6437/140) Simplify ((u/((u**6*u)/u*u))/u)**(-12)/(u**(4/13)*((u/(u*u**31/u*u))/u)/u) assuming u is positive. u**(1517/13) Simplify (l/(l*l**(-15)/l)*l**(-2)*l)/(l**(-14)*l/(l**13*l)) assuming l is positive. l**42 Simplify ((d/d**7)**7)**(-2/3) assuming d is positive. d**28 Simplify (q/(q/(q*q**2*q))*q/(q/(q/((q**(2/15)*q)/q)*q))*q**(1/14)*q/(q**7/q))**17 assuming q is positive. q**(3349/210) Simplify (w**(-3/11)*w*w/(w/(w**1*w))*(w**1)**(8/7))**(-16) assuming w is positive. w**(-4768/77) Simplify ((v/(v/(v/v**(-2/9))))/v)**(-11/3)*(v**
{ "pile_set_name": "DM Mathematics" }
t is the units digit of b(j)? 0 Suppose -3*p + 9*p - 102 = 0. What is the tens digit of p? 1 Let h(b) = -b**3 + 3*b**2 + 6*b - 3. Let m be h(4). Suppose 0 = -s + 2*s - 4. Suppose s = -k + m*k. What is the units digit of k? 1 Suppose 0 = 4*l + j - 66, 9 = l + j - 6. What is the units digit of l? 7 Suppose 0 = -23*t + 24*t - 27. What is the tens digit of t? 2 Let l(d) = d**3 + 37. Let u be l(0). Let h(k) = 25*k**3 + k**2 - 1. Let a be h(-1). Let z = u + a. What is the units digit of z? 2 Let m(y) be the first derivative of -y**5/20 + y**4/4 - y**2/2 - y - 1. Let c(x) be the first derivative of m(x). What is the units digit of c(2)? 3 Suppose -150 = -v - 4*w, 0 = -5*v + w + 2*w + 704. What is the units digit of v? 2 Let x = 53 - 6. Suppose -m = 0, -2*m + x + 48 = 5*s. What is the units digit of s? 9 Let p = -210 - -535. What is the tens digit of p? 2 Suppose 4*k - 4*w + 9*w - 8 = 0, -8 = -4*k - 4*w. What is the units digit of (4/6)/(k/27)? 9 Let f(r) = -r**3 - 7*r**2 - 9*r - 7. Let g be (-176)/28 - 2/(-7). What is the units digit of f(g)? 1 Let p = 324 - 147. What is the units digit of p? 7 Let d(s) = 20*s - 11. What is the hundreds digit of d(10)? 1 Suppose 11*k + 20 = 12*k. What is the units digit of k? 0 Let c = -1 - -8. Suppose 0 = 2*d - c*d + 2*p + 33, -4*d - 4*p = -32. What is the units digit of d? 7 Suppose -24*t + 19*t + 500 = 0. What is the tens digit of t? 0 Suppose -5*x + 4*b - 5 + 39 = 0, -b = 1. Suppose 3*k + 3 = -x. What is the tens digit of (-47)/k - 4/(-12)? 1 Let v be (-2)/(-3) - (-156)/9. Let a = -14 + 20. Suppose v = 2*c - 2*o, -o - a = -2. What is the units digit of c? 5 Suppose 0*h + 18 = 2*h - 5*t, 0 = 5*h + t - 99. What is the tens digit of h? 1 Let g(r) = -2*r - 1. Let p be g(1). What is the tens digit of p/((-9)/(-6)) - -21? 1 Let h = 106 - 48. What is the tens digit of h? 5 Suppose 0*r - 3*r = -102. What is the units digit of r? 4 What is the units digit of (-5)/((-15)/(-181))*6/(-1)? 2 Suppose 0 = -2*c - 0*c. Suppose -22 = 4*k - 5*k - 5*h, c = k + 3*h - 14. Suppose 0*i = -k*i + 14. What is the units digit of i? 7 Suppose -3*u = -8*u. Suppose 2*q = 2*k + 24 + 18, 5*q + 3*k - 129 = u. Suppose -2*w = 2*p - q, 5*w - 39 = -4*p + 4*w. What is the units digit of p? 9 What is the tens digit of 3/(1*(-3)/(-22))? 2 Let y = 116 + -28. Suppose 3*v = o + 41, -4*v + 3*o - 25 + y = 0. What is the tens digit of v? 1 Let r(o) = 2919 + 2*o**2 - 2919 - 4*o. Suppose 6*d + 3*z = d + 29, -2*z + 6 = 0. What is the units digit of r(d)? 6 Let a = -560 + 875. What is the units digit of a? 5 Suppose -4*u = -4*v + 1200, -3*v - 5*u = -2*v - 312. What is the hundreds digit of v? 3 Let w be (-7)/4*60/(-5). Let v = 29 - w. What is the units digit of v? 8 Let k = -132 - -192. What is the tens digit of ((-6)/(-18))/(2/k)? 1 Let n(k) = 2*k**2 - 3 - k**2 + 3 + 15 + 2*k. What is the tens digit of n(0)? 1 Let q(v) = 8*v**2 - 25*v + 3. What is the hundreds digit of q(6)? 1 Let f = -8 - 6. Let r = 20 + f. Suppose -11*h + 40 = -r*h. What is the units digit of h? 8 Let h(r) = 2*r**3 - 2*r**2 - 15*r + 7. What is the tens digit of h(5)? 3 Suppose 154 = o - 45. What is the hundreds digit of o? 1 Let b = 6 - 8. Let l be (-25)/(-2) + 1/b. What is the units digit of ((-7)/(-3))/(4/l)? 7 Suppose 0 = -2*c - 2*k + 25 - 5, 95 = 5*c - 4*k. Suppose c = j + 2*d, 0 = -j + 2*d + 15. What is the tens digit of j? 1 Let t be (-45)/3*1/(-3). Suppose 5*q - 26 = -y + 25, 3*y = t*q - 47. What is the units digit of q? 0 Suppose 2*k - 4*k = 2*b - 12, 5*b + 10 = 5*k. What is the units digit of b? 2 Let u be ((-8)/(-3))/4*6. Suppose m = -u*b + 17, 3*b + 0*b - 29 = -4*m. Suppose -b = -p - 1. What is the units digit of p? 2 What is the units digit of 68 + (6 - (-1 - -4))? 1 Let h(l) = -2*l - 2. Let m be h(-2). What is the units digit of (9/m)/((-7)/(-14))? 9 Let n(b) = b**3 - 3*b**2 - 5*b + 6. Let q be n(4). Suppose q*p - 210 = -5*f - p, 4*p - 42 = -f. What is the units digit of f? 2 Let d(l) = -l**3 - 6*l**2 + 11*l - 7. What is the units digit of d(-8)? 3 Suppose 4*z + 5*w + 24 = 0, 2*z + 7*w - 3*w = -18. Let j = z - -2. What is the units digit of j? 1 Suppose 0 = -4*d + d + 99. What is the units digit of d? 3 Let z(r) be the third derivative of r**4/12 + r**3/3 - r**2. Suppose 0 = 2*d + d - 6. What is the units digit of z(d)? 6 Let p(s) = s + 2. Let f be p(-4). What is the tens digit of 28 - ((-6)/f - 3)? 2 Suppose 43 = 4*w - 4*f - f, -5*f - 9 = -2*w. What is the units digit of w? 7 Let u = -18 - -32. What is the units digit of u? 4 Let c = 1 + 3. Suppose 63 = c*u - u. What is the units digit of u? 1 Let k(w) = -6 - 2*w**2 - 3*w - 3 + 3*w**2. What is the units digit of k(7)? 9 Suppose 7*c - 4*c - 2*u = 10, 4*c - 14 = 2*u. Suppose -c*k - 31 = 25. What is the units digit of 160/28 - 4/k? 6 Suppose -98 - 26 = -m. What is the hundreds digit of m? 1 Let w = -13 - -8. What is the units digit of (w + -1)*(-8)/12? 4 Suppose 2*s - 177 = -s. Suppose -2*v + 7*v - s = -3*r, -r = 5*v - 63. What is the tens digit of v? 1 Let l = -52 - 230. Let i be 2/(-9) - l/54. Let r = i - 1. What is the units digit of r? 4 Suppose 5*a = 2*a + 4*w + 856, 0 = -4*a - w + 1135. What is the units digit of a? 4 Suppose 3*u = 6 + 3. Suppose 3*f = 2*a - 9, -9 = -u*a + 3*f - 0*f. What is the units digit of -2 + 1 + 3 - a? 2 Suppose 4*d + 4*c = 33 + 595, -4*d + 637 = c. What is the hundreds digit of d? 1 Suppose 4*a = -3*h + 33 + 14, -18 = -h + a. Suppose -7 + h = b. Suppose 0 = -2*z - 0*z + b. What is the units digit of z? 5 Let c(a) = -10*a**2 + a. Let i be c(-1). Let p(o) = -2*o - 10. What is the tens digit of p(i)? 1 Let i(y) = 4*y**2 - 2*y - 5. Let d(o) = 2*o**2 - o - 3. Let h(f) = -5*d(f) + 3*i(f). Suppose -4*p + 8 = 0, 2*p = 4*r + 5*p + 2. What is the units digit of h(r)? 0 Suppose -4*h + 57 = 5*p, -3*h + 3*p + 8 + 1 = 0. What is the units digit of h? 8 Let i(a) = 12*a - 2. What is the tens digit of i(4)? 4 Suppose x = 3*h - 1 - 0, 0 = 4*h - x - 2. Suppose 5 = c + h. What is the units digit of c? 4 Let j = 20 + 5. Suppose 0 = -k - k - 5*t - 26, 3*k - 5*t + 39 = 0. Let h = j + k. What is the tens digit of h? 1 Let p = 29 + -8. What is the units digit of p? 1 What is the units digit of -3*(4/(-6))/2? 1 Let i = 16 - 2. Let m be (6/5)/(i/35). Suppose 4*s + m*q + q = 32, -5*q + 5 = 0. What is the units digit of s? 7 Let k(d) = -2*d + 7. Let h be k(6). Let u = h - -3. What is the units digit of -2 + (1 - u) + 4? 5 Suppose 4*q - 2*j - 2*j = 92, 2*q + 5*j = 53. What is the units digit of q? 4 Suppose -2 = 2*b - b. Let a be (-1)/1*1*b. Suppose 4*c - a = 2. What is the units digit of c? 1 Suppose 0*n + 46 = n. Suppose 7*v = -z + 4*v + n, -2*z = 4*v - 92. Suppose -4*r - 2*l + z = 0, 2*r = -3*l + 19 + 14. What is the units digit of r? 9 Suppose -q + 4*y + 49 + 30 = 0, 0 = -2*q + 4*y + 154. Suppose -9*a + q = -4*a. What is the tens digit of a? 1 What is the units digit of -39*((-2)/3)/1? 6 Suppose -4*m - 604 = -2*s, -4*s = -4*m + 20 - 1240. What is the tens digit of s? 0 Let u = 2327 + -1415. What is the units digit of u/27 + (-4)/(-18)? 4 Suppose -4*f = -20, 3*c - 84 + 12 = -3*f. What is the tens digit of c? 1 Let b be 57/11 - 4/22. Suppose 5*f = -0 + b. What is the units digit of f? 1 Suppose -4*r + 58 = -2*r. What is the tens digit of r? 2 Suppose d - 8 = 3*q, 5*d + 6*q = q + 140. Let a = 42 - d. What is the units digit of a? 9 Let s be 0 + 1*4/2. Let v be s/(((-5)/(-2))/5). Suppose 17 = 3*w - v. What is the units digit of w? 7 Let p(l) = 26*l - 15. What is the units digit of p(6)? 1 Let y = -2 + 3. Let r be (1*5/1)/y. Suppose r*m = -0*m + 40. What is the units digit of m? 8 Let i = 11 - 2. Let l = i - 6. What is the units digit of (13 - l)*2/4? 5 What is the hundreds digit of (48/(-20))/(-3 - 598/(-200))? 2 Let i(z) = z + 9. Let d be i(-7). Suppose -3*n = d*n - 15. Suppose -5*v + 4 = 2*u - 5, 4*u - n = 5*v. What is the units digit of u? 2 Let u be (-1)/((-26)/(-14) + -2). Let o = u - 4. Suppose 10 = -r - o*q - 0, -r + 3*q + 14 = 0. What is the units digit of r? 2 Suppose 3*w = -w + 204. Suppose -9 = 4*m + w. Let d = m - -29. What is the tens digit of d? 1 Suppose 2*q + 0*q = 6. Suppose 2*z - 2*a - 15 = -q*a, 3*z - 15 = -3*a. What is the tens digit of z? 1 Suppose -3*i + 18 = 5*s + 53, 5*i + 13 = 3*s. Let a = i - -19. Wha
{ "pile_set_name": "DM Mathematics" }
f - 1. Let b be k(-3). Suppose 0 = b*s + d - 31, -4*s + s + 46 = 2*d. Calculate the lowest common multiple of 16 and s. 16 Suppose 0 = 3*y - 27 + 87. Let o = -14 - y. What is the least common multiple of 4 and o? 12 Suppose 3*s - s + 108 = 0. Let n = -47213/10 - -4725. Find the common denominator of n and (285/s)/1 + 1. 90 Let c be 1/(-2)*(-23864484758307)/(-522206790). Let x = -1/17406893 - c. Let q = x - 22845. Find the common denominator of q and -67/16. 80 Let l(g) = g**3 + 6*g**2 - 8*g - 7. Let h be l(-7). Suppose h*s = 2*s. Suppose s = 2*x - 0*x - 28. Calculate the lowest common multiple of x and 4. 28 Let d = 43 - 40. Calculate the lowest common multiple of d and 30. 30 Let r = -90 - -51. What is the least common multiple of 10 and r/(-4) + (-6)/(-24)? 10 Let f be -1 - (0/(-3) - 1). Suppose 5*c = -f*c + 20. Suppose -c*v + 40 = 4*g, 3*g - 2*g - 6 = -5*v. What is the least common multiple of 4 and g? 44 Suppose -l + 12 = -5*m, 3*l - 10 + 4 = 0. Suppose 3*k - 42 = -12. What is the smallest common multiple of k and ((-1)/m)/((-1)/(-14))? 70 Let r(w) = 3*w + 7. Let z be r(-5). What is the lowest common multiple of (-6)/z - (-85)/20 and 9? 45 Let r = 16 + -17. What is the common denominator of -9/11 and 130/(-110) + (-3)/r? 11 Let r(z) = z**3 - 6*z**2 - 8*z + 8. Let p be r(7). Let v = 1 + p. Suppose -q + v = -1. What is the lowest common multiple of q and 5? 15 Suppose 2*t + 4 = -3*t + 2*l, -l - 5 = t. Let a(b) = -b**3 + 2*b**2 + 2. Suppose 3*x - 69 + 21 = 0. What is the smallest common multiple of a(t) and x? 144 Suppose 0 = 140*a - 130*a - 60. Suppose 0 = 3*u - 9 - 15. Calculate the least common multiple of u and a. 24 Let o = 5/641 - 23857/17948. Calculate the common denominator of o and -23/32. 224 What is the common denominator of ((-4)/16)/((-3)/75) and 69/2 - (1 + 1)? 4 Calculate the least common multiple of 7*(-3)/(-4) - 1/4 and 7. 35 Let r(u) = -58*u + 7. Let v be r(-7). Let q = -62932 - -312606/5. Let c = q + v. What is the common denominator of 2/7 and c? 35 Let c be 1/(2 - 1)*42. What is the smallest common multiple of (1/(-3))/((-2)/c) and 8? 56 Let v be 32855/((2/3)/(-2)). Let z be v/(-2122)*(-1)/(-9). Let a = 6/1061 + z. Calculate the common denominator of a and -5/12. 12 Let g = 6 + -1. Suppose 0 = g*x - 12 + 2. Calculate the least common multiple of 10 and 456/21 + x/7. 110 Calculate the common denominator of 17/10 + -4 + 3 + -3 and 19/2. 10 Let y = 428845/281602 - 311/206. Let a = y - -37744129/8202. Let u = -4584 + a. Find the common denominator of u and -20/7. 42 Suppose -4*s = -0*s + 64. Find the common denominator of 33/20 and (-22)/(-4) - s/72. 180 Let j = -15 - -25. Suppose -2*i = -0 - 16. Calculate the smallest common multiple of j and i. 40 Let d = -645116 - -3859373/6. Let z = -1881 - d. What is the common denominator of (-261)/120 + (-2)/10 and z? 24 Let f(l) = 7*l - 2. Let g be f(6). Suppose 5*p = -5*i + g, i + 4 = -i. What is the lowest common multiple of p and 2? 10 Let p(v) = -v**3 - 42. Let f be p(0). What is the common denominator of 229/f - 4/(-14) and 49/20? 60 Let q = -30 + 39. Calculate the least common multiple of q and 32. 288 Let a(c) = 2*c - 6. Let f be a(6). Let h = 91 + -161/2. Find the common denominator of h and f/15 - 354/(-15). 2 Let c be 24/28*13*7. Find the common denominator of (c/(-2))/(0 - -10) and 109/18. 90 Let c = -9 + 21. Calculate the lowest common multiple of c and 10. 60 Let n be (-1146)/(-572) + -4 + 2. Let m = -2291/858 + n. Calculate the common denominator of m and 31. 3 Find the common denominator of 1/46 and (-13 - -43)*10/64. 368 Suppose 1 = -2*d - 3. Let p = d - -4. Let b(j) = -j**3 + 7*j**2 + j - 4. Calculate the smallest common multiple of p and b(7). 6 Suppose 0 = 4*w + 2 - 26. What is the common denominator of 49/10 and 4/w + 182/(-48)? 40 Let x = -22 - -24. Calculate the lowest common multiple of 9 and x. 18 Let k(s) = -5*s + 51. Calculate the lowest common multiple of 20 and k(7). 80 Let g(j) = j**3 + 7*j**2 - 8*j + 6. Calculate the lowest common multiple of g(-8) and 65/4 + 7/(-28). 48 Let b = 1685/2 + -889. What is the common denominator of b and -77/18? 18 Let m = 155/2 + -86. What is the common denominator of m and -55/13? 26 Let v = -4 + 13. What is the lowest common multiple of v and 8? 72 Let j(r) = -2*r**2 + 23*r + 16. Calculate the least common multiple of j(12) and 4. 4 Let n be (1/(-2))/(1/33757). Let h = -17752 - n. Let u = h + 844. What is the common denominator of u and -31/6? 6 Suppose -3*g = -5*s - 1, -3*g - g = 3*s - 11. Suppose -2*w = 2*w - 40. What is the smallest common multiple of w and g? 10 Suppose 0 = k - 2 - 1. Suppose -x - 42 = -7*x. Calculate the least common multiple of k and x. 21 Let d(p) = p**2 - 2. Let f(j) = j**3 + 5*j**2 + 4*j + 6. Calculate the least common multiple of f(-3) and d(4). 84 Let n(x) = -x**3 + x**2 + 5*x - 3. Let q be (5 - 2/1)*1. Let s be n(q). Let v = s - -9. Calculate the least common multiple of 2 and v. 6 What is the common denominator of -87/20 and (21/(-22))/((-9)/21)? 220 Let l(q) = q - 6. Let p be l(0). What is the common denominator of 23/20 and 51/90 + (-2)/p? 20 Let c = -2663 - -24031/9. What is the common denominator of -48/5 and c? 45 Let y(c) = c**2 + 11*c + 12. Let q be y(-10). Suppose 32 = 2*r + q*r. What is the smallest common multiple of 16 and r? 16 Let u(f) = f**2 + f - 3. Let a = 91 + -52. Find the common denominator of u(-5) and 2*(2 - a/24). 4 Suppose 0 = -3*x + 5*q + 11 + 30, 5*x + 2*q - 120 = 0. Calculate the smallest common multiple of x and 18. 198 Let d = 251045/32 - 7846. Find the common denominator of d and 83/32. 32 Let m = -1939 - -3789/2. What is the common denominator of 35/12 and m? 12 Let q = -3098 - -4637705/1497. Let x = q - 5486/4491. Find the common denominator of x and -56/5. 45 Let x = 611/2 + -352. What is the common denominator of x and 20/3? 6 Let f(x) = 23*x**2 + x + 2. What is the least common multiple of f(-1) and 6? 24 Let s = -2/4321419 + 10905825443/9420693420. Let d = -5/654 + s. Calculate the common denominator of d and -65/4. 20 Calculate the common denominator of 26/126 - 10/(-45) and -53/5. 35 Find the common denominator of 8/3 and -7*(4 - (-48)/(-7)). 3 Let v be (-80)/(-28)*(-1)/(-376). Let q = 3/47 + v. Find the common denominator of (-4)/2 - 166/20 and q. 70 Suppose 0 = 6*b - b + 10. Let v(f) = -3*f + 2. What is the least common multiple of v(-2) and (10 + -2)/((-1)/b)? 16 Let m = 9 + -1. Suppose 0*t + 4 = 2*t. What is the least common multiple of m and t? 8 Let q be 84/30 - (-2)/10. Let b = 14477/20 - 721. Calculate the common denominator of b and ((-38)/q)/((-28)/21). 20 Let w = -8 - -8. Suppose -3*a + 36 = -w*a. What is the least common multiple of a and 0 + 0 + 2 + 8? 60 Let o = -4769269/9210 - -3107/6. Let l = -47609/9210 - o. Let b = -9/20 - -919/20. Calculate the common denominator of l and b. 6 Let g = 1 - 6. Suppose 1057 = 5*q - 1318. Find the common denominator of q/g*1/4 and 56/11. 44 Suppose b - 5*m + 5 = -4, 12 = 2*b + 5*m. What is the common denominator of b + 1*(-146)/28 and 46/8*(-2)/10? 140 Let k = 3 - -19. Suppose -2*s = -4*a - 44, 4*s - 84 = 4*a - 0*a. What is the smallest common multiple of k and s? 220 Calculate the common denominator of 51/8 and -5 - (-134)/26 - 1445/182. 56 Let m(u) = u**2 - 15*u + 18. Let n be m(14). Suppose -18 = -n*c + 2*c. Let i = -5 + 11. What is the least common multiple of c and i? 18 Let n(k) = -k - 7. Let x be n(-10). Find the common denominator of -1*x + 806/(-39) and 89/10. 30 Let q = 1755/2 - 905. Find the common denominator of q and 17/20. 20 Let k = -25 + 32. Suppose k*l - 12 = 16. Calculate the lowest common multiple of l and 12. 12 Suppose -c - 2*h + 8 = 0, 4*c = 3*h - 5*h + 38. Calculate the least common multiple of c and 1. 10 Suppose -3*w + 2*w - 140 = 2*m, 3*w + 4*m = -416. Let z be 6/(-134)*(-29606)/w. Let q = z + -3/1139. Calculate the common denominator of 45/4 and q. 4 Let u(y) = 19*y. Calculate the smallest common multiple of 7 and u(1). 133 Suppose -2*y - 1 = -5. Find the common denominator of 12/(-10)*y/6 and 22/12*(-18)/(-4). 20 Suppose -5*r - 31 = -3*o, -o + 3*r = 4*r - 13. Suppose 3*g - 21 - o = 0. What is the least common multiple of 10 and g? 110 Suppose -23 = 2*y - 3*b, y - 11 = -5*b + 10
{ "pile_set_name": "DM Mathematics" }
y*a and give g. 18 Express -2*y**2 + 0*y**3 - y**3 + 105 - 103 as p*y**2 + b + o*y**3 + g*y and give b. 2 Rearrange -2*i**4 + 13*i**2 - 4*i - 192 + 191 + 2*i to the form s*i**3 + d + k*i**4 + b*i**2 + v*i and give b. 13 Express (4*t - 4*t + t**2)*(3*t - t - t)*(-5 + 6 + 10) in the form o*t**2 + k + h*t**3 + v*t and give h. 11 Express -2*t**2 + 1 - 98*t - 96*t + 2*t**3 + 189*t + 2*t**4 as x*t**3 + h*t + q*t**2 + o*t**4 + u and give q. -2 Express -30*y**2 + 5*y - 8*y**2 - 9*y**2 - 3*y as u + m*y + h*y**2 and give m. 2 Rearrange 14*r**2 - 3*r**3 - r**3 - 16*r**2 - 3*r**4 to the form o*r**2 + z + m*r**4 + s*r + p*r**3 and give p. -4 Express (2*i**2 - 2*i**2 + i**2)*(2 + i**2 - 2) - 4*i**4 + 1239*i**2 - 1239*i**2 as u*i**4 + l*i + r*i**2 + a + q*i**3 and give u. -3 Rearrange (-3 + 0 + 5)*(2 - 3*a - 2*a + a) to c*a + i and give i. 4 Express 0 + 2 + 9*p - 2 in the form u + q*p and give q. 9 Express ((-l + l - 2*l)*(1 - 4 + 6) + 2*l + 3 - 3)*(3*l - 3*l - 2*l) as b + u*l + g*l**2 and give g. 8 Rearrange ((1 - 3 + 6)*(2*u + u - u) + 0*u + 3*u - 2*u)*(0 - 3 + 1)*(-u**3 + 4*u**3 - 2*u**3) to the form t*u**2 + y*u**4 + l + d*u**3 + z*u and give d. 0 Rearrange (5*j**2 + 29*j**2 + 172*j**2)*(3 + 0 - 4)*(1 - 2*j - 1)*(-2 + 0 + 3) to z*j**3 + g*j**2 + a*j + i and give z. 412 Express 5*b**2 - b**2 + 27*b**3 - 26*b**3 as d + l*b**3 + r*b**2 + y*b and give d. 0 Rearrange 6*t - 3*t - t - 18*t to w + f*t and give f. -16 Rearrange (2 + v**2 - 2)*(-5 + 3 + 3)*(3 + 0 - 4) to the form j + n*v**2 + z*v and give z. 0 Rearrange -2*t**2 - t**3 + 7*t**2 + 2*t - 6*t**2 to k*t**2 + j*t**3 + n + c*t and give c. 2 Rearrange -3 + 546*i - 12*i**2 - 546*i to d + y*i**2 + o*i and give d. -3 Express 12*a**3 + 2*a**2 - 2*a**2 - 13*a**3 - 8*a**2 as u*a + b*a**2 + w*a**3 + q and give w. -1 Express -9 - 2*l**3 + 1 + 0 in the form a*l + g*l**2 + n + k*l**3 and give n. -8 Rearrange 1 - 1 + 6*d to l*d + q and give l. 6 Express 0*a - 6*a + 6*a - a as l + c*a and give c. -1 Rearrange 17 + 3*r**3 - 6 - 15 to j + w*r**2 + k*r + z*r**3 and give z. 3 Rearrange (-c + 2*c - 4*c)*(99 - 99 + 17*c) to i + u*c**2 + g*c and give u. -51 Rearrange (4*x**2 - 5*x**2 - x**2 + 4*x**2 - 5*x**2 + 3*x**2 + (0*x + 0*x - 2*x)*(-x - 3 + 3))*(0*x + 8*x - x) to z*x**3 + u + m*x**2 + l*x and give z. 14 Rearrange (-1 + 4*k + 1)*(0 + 3 - 1) - 3*k - k - 2*k to v + x*k and give x. 2 Rearrange (1 + 0 + 2)*(-k + 17 - 17)*(2*k - 2*k - 1 - 2*k**2) to u + t*k**2 + d*k + w*k**3 and give w. 6 Rearrange 326*x**2 + x**4 + x**3 - x + 6*x - 326*x**2 to j*x + a*x**2 + g + l*x**3 + p*x**4 and give p. 1 Express -3*c**3 + 7 - 7 + 0*c**3 + c**2 as k + a*c**3 + j*c + i*c**2 and give i. 1 Express (6*n - 6 + 6)*((-n**2 + n**2 - 3*n**2)*(1 - 4 + 1) - 1 + 1 + 4*n**2) in the form f*n**2 + x*n**3 + c*n + z and give x. 60 Express 40 + 2*k**3 - k**2 - 40 - 2*k in the form s*k**3 + m*k**2 + p*k + j and give s. 2 Rearrange -3*l + 6*l + 6*l**2 - 2*l**2 - l**3 + 2 - l to the form j*l + o*l**2 + k + v*l**3 and give v. -1 Express (4*t + 4*t - 5*t)*(3*t**2 + t**3 - 4*t**3 - 5*t**2 + (t - 1 + 1)*(0*t**2 - 2*t**2 + 0*t**2)) in the form s*t**3 + b*t + f*t**2 + c + o*t**4 and give o. -15 Express 17*r**3 - 2*r**3 - 3*r**3 + (3 - r**2 - 3)*(-2*r - 2*r + 2*r) - r**3 + 0*r**3 + 3*r**3 in the form z*r**2 + o*r**3 + u*r + h and give o. 16 Express 8 - 8 - 128*a**2 + 0 in the form u*a + k + z*a**2 and give u. 0 Rearrange (-r**3 + 1 + 1 - r**3)*(-2 - 1 - 12) to y*r**2 + j*r + n*r**3 + i and give i. -30 Express (8*k - 16 + 16)*(-2 - 1 - 2)*(1 - 2 + 0) in the form c*k + v and give c. 40 Rearrange (-121*m**2 + 347*m**2 - 165*m**2)*(-3*m - 2*m + 4*m) to the form t*m + g + w*m**2 + y*m**3 and give y. -61 Express 3*s**4 - s + 12*s**2 + 9*s**3 - 12*s**2 - 2*s**4 in the form q + c*s + f*s**2 + t*s**4 + w*s**3 and give c. -1 Rearrange -3*w + w + 0*w + (4 - 2 - 4)*(3 - 3 + w) - 3*w + 12*w - 32*w to the form p*w + f and give p. -27 Rearrange (-4 + 4 + 2*r + (2 + 4 - 3)*(-2*r - r + r) + r - 2*r + 2*r)*(2 + 6*r - 4*r - 1) to the form y*r + o*r**2 + j and give y. -3 Express (w + 5*w - 3*w)*(2 - 3 + 6) + 2 - w - 2 in the form l + g*w and give g. 14 Rearrange -4*n + 11*n - 3*n - 6*n to the form m + v*n and give v. -2 Rearrange 3*k + 213*k**2 - 108*k**2 - 2 - 100*k**2 to i*k + j + y*k**2 and give y. 5 Rearrange (0 + 0 + b)*(-2 - 1 + 2) + 10*b + 34*b - 16*b to v*b + s and give v. 27 Rearrange 2 - d**3 + 0*d**4 + 3*d - 2*d**4 + 5*d**4 - d to the form p + c*d**2 + v*d**4 + u*d**3 + g*d and give u. -1 Express 11*b - 2*b + 4*b in the form v + x*b and give x. 13 Express -n + 44 + 0*n - 7 + 21 as y + d*n and give y. 58 Rearrange 111*v + 2*v**3 - 59*v - 52*v + 2 + 15*v**2 to the form m*v**2 + g*v + f + b*v**3 and give g. 0 Rearrange 3 - 3*b**4 - b**4 + 2*b**4 + 2*b**2 - 1 - 5*b to the form i*b**3 + m*b**4 + k*b**2 + f + j*b and give m. -2 Rearrange (-6 + 0 + 3)*(-2 - 2*r + 2 + (0*r + 2*r - 4*r)*(2 - 3 - 5)) to b + p*r and give p. -30 Rearrange (6*h + 6*h + 3*h)*(3*h - 4*h - h)*(2 - 3*h - 2) to x*h**2 + n*h**3 + z*h + o and give n. 90 Rearrange 11*i - 56*i**2 - 5*i - 7*i to k*i + w*i**2 + c and give w. -56 Express (4 - c - 4)*(-3 + 0 + 1)*(-9 + 7*c + 9) in the form k + l*c + m*c**2 and give m. 14 Express ((-2*v - 2*v + 2*v)*(-1 + 2 + 1) - 6*v - 2 + 2 - 5*v + 10 - 10)*(2 + 0 - 1) in the form j + z*v and give z. -15 Express -1 - 10 + 2 + 6 + 5*q**3 as z + n*q**3 + p*q + c*q**2 and give z. -3 Express 2*l - 4*l - 2*l - 3 - 2*l + 3 + (4 + 1 - 3)*(l - 3*l + 0*l) + 0*l + 2*l - 4*l + 2 - 2 - 4*l - 1 as p*l + a and give p. -16 Rearrange 1 + k**2 - 6*k**2 + 1 - 2*k**2 to v*k**2 + m + f*k and give m. 2 Express -6*t**2 - t**4 + 117*t**3 - 118*t**3 + 0*t**4 + 0*t**2 in the form a*t**3 + q + g*t + v*t**2 + k*t**4 and give a. -1 Express (6 + 2 - 3 + (-5 + 4 + 0)*(4 - 3 + 1))*(3*v - 3*v + 2*v)*(-11*v + 15 + 10 - 26) as h + o*v**2 + j*v and give o. -66 Express 3*l**2 - 4*l**2 + 19*l**3 - 32*l**3 in the form g + y*l**2 + f*l**3 + j*l and give y. -1 Rearrange -3*s - 2*s + 2*s - 9*s to the form n + j*s and give j. -12 Express 20 + 19*r - 20 in the form s + z*r and give z. 19 Rearrange (w - 1 + 1)*(-3*w**3 + 10*w**3 - 6*w - 2 + 7*w) to the form y*w + x*w**2 + a*w**3 + p*w**4 + k and give x. 1 Rearrange 4*i + 8*i + 0*i to the form g*i + s and give g. 12 Rearrange -15*a**2 + 8*a**2 + 36*a**2 to v*a + o*a**2 + s and give o. 29 Express -3 - 2*n**2 + 0*n**2 + 2*n**3 + 4 - 3 as r*n**3 + z + m*n + d*n**2 and give z. -2 Rearrange -16 + 297*d - 297*d + 2*d**2 to the form n*d + b*d**2 + t and give t. -16 Rearrange (2*x + 0 + 0)*(-11 + 11 + x) - 6 + 6 + 2*x**2 - 2*x to the form u*x + h + o*x**2 and give h. 0 Rearrange 10*a**2 + 2*a - 4*a + 3 - 3 to the form h + z*a + p*a**2 and give p. 10 Rearrange -f - 15*f**3 + 1151*f**2 + 0 - 1150*f**2 + 1 to the form b*f**2 + y*f**3 + o + m*f and give b. 1 Rearrange (-1 + 13 - 12 + 10*z**2)*(0 + 2 - 1) to g*z**2 + n + l*z and give g. 10 Rearrange (5*a - 7*a + a)*(-2 + 2 + a + (-4 - 3 + 5)*(3*a - a + 0*a) - 2*a + 3*a + 0*a) to the form g*a + n + d*a**2 and give d. 2 Rearrange (-u - 2*u + u)*(0 + 0 + u) - 4*u**2 + 0*u**2 + 3*u**2 + (-11*u - 8*u - 4*u)*(5*u + 0*u - 3*u) to w + q*u**2 + b*u and give q. -49 Rearrange -21*l + 1 - 1 - 32*l to the form c*l + y and give c. -53 Express (-a + 3*a - 4*a)*(3 - 1 + 1) as v + n*a and give n. -6 Express (2*p + p - 5*p)*(-14*p + 35*p - 2*p) as k + y*p**2 + t*p and give y. -38 Express 8*b + 3 + 0*b - 32*b in the form q + t*b and give t. -24 Express -5*k + 0 + 0 - 52*k as a + q*k and give q. -57 Express 1 + 17*i - 12*i**2 + 8*i**2 + 6*i**2 - 2 as j*i + z*i**2 + n and give z. 2 Rearrange 8*i**2 - 52 + 52 to the form k + a*i**2 + x*i and give a. 8 Rearrange 14*h**3 - 16*h**3 - 8*h + 2*h + 4 - 6 to i*h**3 + g*h**2 + w*h + t and give i. -2 Rearrange -85*f - f**3 - 17 + 85*f + 5*f**3 to m + k*f + w*f**2 + i*f**3 and give m. -17 Express (-4 + 4 + 2)*(-2 - 7 + 5)*(-r - r + r) in the form n + q*r and give q. 8 Rearrange -4*s + s + 4*s - 2 - s**2 + (-2 + 2 - 1)*(1 + 2*s**2 - 1) to the form n*s**2 + a + m*s and give n. -3 Express 1887 + 39*w**2 - 1887 + 21*w**2 as o*w**2 + y*w + a and give o. 60 Express (1 + 2 - 4)*(-m**4 + 0*m**4 + 2*m**4) - 8*m**3 + 4*m**4 + 43*m**3 - 2*m**4 in the form u*m**4 + p*m**2 + a + b*m**3 + d*m and give b. 35 Express (-q - 4*q +
{ "pile_set_name": "DM Mathematics" }
82 What is the v'th term of -83, -647, -2249, -5447, -10799, -18863, -30197, -45359? -93*v**3 + 39*v**2 - 30*v + 1 What is the a'th term of -562773, -562823, -562905, -563019, -563165? -16*a**2 - 2*a - 562755 What is the k'th term of -33781, -67553, -101363, -135229, -169169, -203201, -237343? -3*k**3 - k**2 - 33748*k - 29 What is the g'th term of -28992670, -57985340, -86978010? -28992670*g What is the n'th term of -1937, -2458, -2971, -3476, -3973, -4462, -4943? 4*n**2 - 533*n - 1408 What is the x'th term of 29347, 234852, 792643, 1878856, 3669627, 6341092, 10069387? 29356*x**3 + 7*x**2 - 8*x - 8 What is the w'th term of -547456, -1095209, -1642962, -2190715, -2738468, -3286221? -547753*w + 297 What is the c'th term of -30274, -60624, -90992, -121378, -151782, -182204, -212644? -9*c**2 - 30323*c + 58 What is the b'th term of 1139, 3105, 4929, 6539, 7863, 8829, 9365, 9399? -12*b**3 + b**2 + 2047*b - 897 What is the u'th term of 21438, 48959, 76480, 104001? 27521*u - 6083 What is the p'th term of -21086, -9089, 2908, 14905, 26902? 11997*p - 33083 What is the y'th term of 5934717, 11869434, 17804151, 23738868, 29673585? 5934717*y What is the b'th term of 19970, 43130, 66290, 89450? 23160*b - 3190 What is the k'th term of -311729, -312514, -313279, -314018, -314725, -315394, -316019? k**3 + 4*k**2 - 804*k - 310930 What is the u'th term of 14029904, 28059817, 42089732, 56119649, 70149568? u**2 + 14029910*u - 7 What is the t'th term of 45917, 92024, 138135, 184250? 2*t**2 + 46101*t - 186 What is the l'th term of 3206931, 6413864, 9620797, 12827730? 3206933*l - 2 What is the r'th term of 32977, 264059, 891511, 2113591, 4128557? 33043*r**3 - 73*r**2 + 7 What is the z'th term of -35975, -71927, -107865, -143789, -179699? 7*z**2 - 35973*z - 9 What is the j'th term of -4506, -4671, -4834, -5001, -5178, -5371? -j**3 + 7*j**2 - 179*j - 4333 What is the h'th term of 5996, 26070, 59528, 106370? 6692*h**2 - 2*h - 694 What is the f'th term of 2826671, 2826661, 2826651, 2826641, 2826631, 2826621? -10*f + 2826681 What is the y'th term of -19528, -78104, -175712, -312334, -487952, -702548, -956104? 3*y**3 - 19534*y**2 + 5*y - 2 What is the w'th term of -45165, -184844, -417643, -743562? -46560*w**2 + w + 1394 What is the c'th term of -9274, -36677, -82352, -146299? -9136*c**2 + 5*c - 143 What is the a'th term of 5179900, 5179923, 5179948, 5179975, 5180004, 5180035, 5180068? a**2 + 20*a + 5179879 What is the x'th term of -719, -1252, -2755, -5714, -10615? -81*x**3 + x**2 + 31*x - 670 What is the x'th term of 143988, 287975, 431948, 575901, 719828, 863723, 1007580? -x**3 - x**2 + 143997*x - 7 What is the h'th term of 3405741, 3405740, 3405739, 3405738? -h + 3405742 What is the q'th term of 16478, 32845, 49212, 65579? 16367*q + 111 What is the s'th term of -120202, -240447, -360682, -480901, -601098, -721267, -841402, -961497? s**3 - s**2 - 120249*s + 47 What is the p'th term of -2356, -4845, -7306, -9733, -12120? p**3 + 8*p**2 - 2520*p + 155 What is the m'th term of -76223530, -152447063, -228670596, -304894129, -381117662, -457341195? -76223533*m + 3 What is the p'th term of 484507, 969003, 1453499? 484496*p + 11 What is the c'th term of 590678, 590611, 590536, 590453, 590362, 590263? -4*c**2 - 55*c + 590737 What is the u'th term of -10541, -10393, -10245? 148*u - 10689 What is the s'th term of -25850, -51671, -77460, -103217, -128942, -154635? 16*s**2 - 25869*s + 3 What is the q'th term of -151437223, -151437228, -151437233, -151437238, -151437243? -5*q - 151437218 What is the h'th term of 24810, 25976, 27928, 30672, 34214, 38560, 43716? h**3 + 387*h**2 - 2*h + 24424 What is the x'th term of 497654, 995304, 1492952, 1990598? -x**2 + 497653*x + 2 What is the t'th term of 8559, 17062, 25605, 34212, 42907, 51714, 60657? 4*t**3 - 4*t**2 + 8487*t + 72 What is the s'th term of -446220, -892458, -1338696, -1784934, -2231172, -2677410? -446238*s + 18 What is the n'th term of -59949, -242667, -547197, -973539, -1521693, -2191659? -60906*n**2 + 957 What is the y'th term of -93833, -93861, -93889, -93917? -28*y - 93805 What is the y'th term of 3271, 6623, 10113, 13789, 17699, 21891? 8*y**3 + 21*y**2 + 3233*y + 9 What is the z'th term of -16129988, -16129987, -16129986, -16129985? z - 16129989 What is the r'th term of 13091, 52586, 118427, 210614, 329147, 474026, 645251? 13173*r**2 - 24*r - 58 What is the q'th term of -682, -4763, -15280, -35269, -67766, -115807, -182428? -506*q**3 - 182*q**2 + 7*q - 1 What is the p'th term of -465, 1532, 3529, 5526? 1997*p - 2462 What is the l'th term of 970248813, 970248814, 970248815, 970248816? l + 970248812 What is the w'th term of -704, -2891, -6400, -11117, -16928, -23719? 19*w**3 - 775*w**2 + 5*w + 47 What is the j'th term of 59, 349, 877, 1649, 2671, 3949, 5489, 7297? j**3 + 113*j**2 - 56*j + 1 What is the q'th term of -17613, -70419, -158423, -281619, -440001? q**3 - 17605*q**2 + 2*q - 11 What is the d'th term of 618416, 618429, 618452, 618485? 5*d**2 - 2*d + 618413 What is the o'th term of 39106, 312908, 1056084, 2503312, 4889270, 8448636? 39113*o**3 + 9*o**2 - 16*o What is the m'th term of 390909, 781790, 1172673, 1563558, 1954445, 2345334, 2736225? m**2 + 390878*m + 30 What is the x'th term of -3338, -3668, -3978, -4268? 10*x**2 - 360*x - 2988 What is the y'th term of 2721151, 5441949, 8162743, 10883533, 13604319, 16325101, 19045879? -2*y**2 + 2720804*y + 349 What is the b'th term of 2437050, 2437174, 2437382, 2437674, 2438050? 42*b**2 - 2*b + 2437010 What is the f'th term of 5403, 5422, 5395, 5298, 5107? -4*f**3 + f**2 + 44*f + 5362 What is the c'th term of -9060006, -18120021, -27180038, -36240057, -45300078? -c**2 - 9060012*c + 7 What is the o'th term of 64082, 64650, 65218? 568*o + 63514 What is the c'th term of -467188, -467214, -467248, -467290, -467340, -467398? -4*c**2 - 14*c - 467170 What is the u'th term of 1241363, 1241365, 1241375, 1241399, 1241443? u**3 - 2*u**2 + u + 1241363 What is the h'th term of -3116203, -3116179, -3116155, -3116131? 24*h - 3116227 What is the d'th term of -370891558, -370891559, -370891560, -370891561? -d - 370891557 What is the r'th term of -8, 210, 738, 1720, 3300? 24*r**3 + 11*r**2 + 17*r - 60 What is the s'th term of -5116418, -10232834, -15349250, -20465666, -25582082, -30698498? -5116416*s - 2 What is the v'th term of 3066205, 6132404, 9198603, 12264802? 3066199*v + 6 What is the q'th term of 6533, 24409, 54207, 95933, 149593, 215193, 292739, 382237? q**3 + 5955*q**2 + 4*q + 573 What is the p'th term of -314, -69, 350, 955, 1758, 2771, 4006? 2*p**3 + 75*p**2 + 6*p - 397 What is the j'th term of -4863, -10256, -16175, -22620? -263*j**2 - 4604*j + 4 What is the o'th term of -774114, -1548236, -2322358, -3096480, -3870602? -774122*o + 8 What is the q'th term of 891939, 890739, 888747, 885969, 882411, 878079? q**3 - 402*q**2 - q + 892341 What is the y'th term of -753319, -1506637, -2259955, -3013273, -3766591? -753318*y - 1 What is the c'th term of 14725282, 14725286, 14725290, 14725294, 14725298? 4*c + 14725278 What is the u'th term of -21073, -21445, -22075, -22957, -24085, -25453, -27055, -28885? u**3 - 135*u**2 + 26*u - 20965 What is the q'th term of 31934, 31842, 31756, 31676? 3*q**2 - 101*q + 32032 What is the j'th term of 30622, 30513, 30214, 29629, 28662, 27217? -16*j**3 + j**2 + 30637 What is the v'th term of 25753, 103828, 233955, 416134, 650365, 936648? 26026*v**2 - 3*v - 270 What is the x'th term of 644, 2980, 7020, 12764? 852*x**2 - 220*x + 12 What is the n'th term of 407, 2002, 5923, 13310, 25303? 190*n**3 + 23*n**2 + 196*n - 2 What is the s'th term of 1514861, 3029722, 4544583? 1514861*s What is the m'th term of -1402305, -1402117, -1401803, -1401363, -1400797, -1400105, -1399287? 63*m**2 - m - 1402367 What is the r'th term of -3934, -3872, -3712, -3454, -3098, -2644? 49*r**2 - 85*r - 3898 What is the u'th term of 56506, 49534, 42560, 35584? -u**2 - 6969*u + 63476 What is the a'th term of 123800, 251659, 379516, 507371? -a**2 + 127862*a - 4061 What is the b'th term of 7122, 26361, 57712, 101175, 156750? 6056*b**2 + 1071*b - 5 What is the o'th term of 193953, 194068, 194387, 195012, 196045, 197588? 17*o**3 - 4*o + 193940 What is the r'th term of -267820, -267307, -26679
{ "pile_set_name": "DM Mathematics" }
0 Let s(g) = -g**2 - 6*g - 19. Let z(y) = y**2 + 6*y + 19. Let m(i) = 5*s(i) + 6*z(i). What is the units digit of m(-16)? 9 Suppose 11*a - 6 = 8*a. Let w(l) = -15 - l**a - 21 + 34 + 18*l. What is the units digit of w(14)? 4 Let x(f) = f**3 + 5*f**2 + 5*f + 11. Let l(k) = -2*k**3 - 4*k**2 - 6*k - 12. Let d(r) = 2*l(r) + 3*x(r). What is the tens digit of d(7)? 3 Suppose z + 2*f + 69 = 6*z, -66 = -5*z + 3*f. Let h = 275 - z. What is the hundreds digit of h? 2 Let y = 141 - 139. Suppose 3*g = -3*h + 972 - 288, 0 = -y*g + 4*h + 450. What is the units digit of g? 7 Suppose 0 = 2*p - 4 - 16. Suppose -6*r + p = -2. What is the units digit of r? 2 Let s(d) = 30*d**2 + 11*d - 13. What is the units digit of s(-7)? 0 Let q(c) = 7*c**2 - 2*c + 57. What is the hundreds digit of q(-10)? 7 Suppose 2*d = 38 - 10. What is the units digit of 2/d - (-1217)/7? 4 Suppose 136 - 26 = 11*t. What is the units digit of t? 0 Let q be -1 + 1 - (-6 + 3). Let r = -48 + 83. Suppose -5*t - 4 + 110 = 4*y, -q*t - r = -y. What is the units digit of y? 9 Let w(i) = 2*i**2 - 15*i + 28. What is the tens digit of w(8)? 3 Suppose -4*j = 2*q - 1574, j - 2392 + 31 = -3*q. What is the tens digit of q? 8 Let y(p) = -p**3 + 21*p**2 - 25*p + 39. What is the hundreds digit of y(19)? 2 Suppose 20*s = 28*s - 6576. What is the units digit of s? 2 Let t(k) be the second derivative of 11*k**6/40 + k**5/30 - k**3/6 - k**2 + k. Let f(i) be the first derivative of t(i). What is the tens digit of f(1)? 3 What is the units digit of (200360/120)/((-1)/(-2 - 1))? 9 Let t be ((-3)/(-1))/(1/2). Suppose 570 = 5*z + z. Suppose m = t*m - z. What is the tens digit of m? 1 Suppose -4*o - 656 = -3*h + 824, 0 = -h + 5*o + 497. What is the units digit of h? 2 Let c(w) = 0*w**2 + w - w**2 + 4 + 2*w. Let n be c(5). Let l(f) = -f**3 - 7*f**2 - 9*f - 9. What is the units digit of l(n)? 9 Let a = -2350 - -4484. What is the thousands digit of a? 2 Let f = 219 - 119. Suppose 0*h + 5*h - f = 0. What is the tens digit of h? 2 Let l(r) = -31*r - 137. What is the hundreds digit of l(-21)? 5 Let g(i) = 25*i**2 - 19*i - 10. What is the hundreds digit of g(7)? 0 Let s be (1 - (1 - 1))*276. Suppose -c + 7*c - s = 0. What is the units digit of c? 6 Let r = 102 - 78. Suppose 56*o = 54*o + r. What is the units digit of o? 2 Let h(s) = s**2 - 7*s + 9. Let w be h(6). Suppose a + 232 = w*a. Suppose 0 = 6*o - 2*o - a. What is the units digit of o? 9 Suppose 0 = -5*r - 51 - 14. Let a = r - -5. What is the units digit of (-12)/a*(3 - -23)? 9 What is the tens digit of (4 - 2*(-2)/4) + 461? 6 Let l(a) = a**3 + 11*a**2 + a + 14. Let h be l(-11). Suppose 0 = -h*f + 2*o + o + 183, -5*f = -o - 301. What is the tens digit of f? 6 Let i(c) = 42*c**2 + 12*c + 27. What is the units digit of i(-2)? 1 Let f(u) = 6*u - 22. Let g be f(7). Suppose g = v - 34. What is the units digit of v? 4 Suppose 680 + 2540 = 28*i. What is the units digit of i? 5 Let f(h) = -2*h**3 + h**2 - h - 3. Let u be ((-1)/(-2))/(1/2)*-2. What is the tens digit of f(u)? 1 Suppose 10 = p + p. Suppose -2*b + 2*g - 68 = -394, 0 = p*g - 20. What is the units digit of b? 7 Let c(a) be the second derivative of 0 - 1/6*a**3 + 4*a + 0*a**2. What is the units digit of c(-6)? 6 Let a(f) = 8*f + 3. Let d = 12 + -24. Let k be ((-9)/12)/(3/d). What is the tens digit of a(k)? 2 Suppose -4*g + 12 = 4*s, -8*g - 3*s + 15 = -3*g. Suppose -p - 12 = -q, -g*p + 2*q = -2*p + 8. Let l = 27 + p. What is the tens digit of l? 1 Let r(y) = -2*y**3 + y**2 - 3*y + 2. Let i be r(1). Let q be (4 - 5)/(i/420). Suppose -6*d + 3*t = -2*d - q, 0 = 2*d - 3*t - 108. What is the units digit of d? 1 Let y be 0 - (-18)/(-1 - -4). Suppose y = -5*h + 21. What is the units digit of h? 3 Suppose -4746 = -4*m + 2*d, 13*m - 5*d = 12*m + 1209. What is the units digit of m? 4 Suppose 3*y + 2 = 26. Let f = y + -8. Suppose 2*s + 3*s - 110 = f. What is the units digit of s? 2 Suppose -2*n - 401 = -2451. What is the hundreds digit of n? 0 Let l be -69*(-3 - 0)*20/30. Suppose 0 = -2*r + 26 + l. What is the tens digit of r? 8 Let s be (156/9)/(2/(-24)). What is the tens digit of (s/40)/(2/(-20))? 5 Suppose 0 = -2*t - 2, 4*x - 4*t = x - 8. Let v = 13 + 5. Let j = v - x. What is the units digit of j? 2 Let x(y) = -y**2 + 5*y + 9. Let g = 5 + 1. What is the units digit of x(g)? 3 Suppose -80*t + 77*t + 1355 = 2*w, 4*t + 1362 = 2*w. What is the hundreds digit of w? 6 Suppose -2*b = 2*b + 844. Let u = -108 - b. What is the tens digit of u? 0 Suppose 0 = -9*x + 4884 + 57. What is the tens digit of x? 4 Let d be 2 - ((-6)/(-2))/(-1). Let c(o) = o**3 - 6*o**2 + 8*o - 3. Let i be c(d). Suppose -i = -0*m - m. What is the tens digit of m? 1 Let v = -57 + 171. Let t = 177 - v. What is the units digit of t? 3 What is the tens digit of (1198/(-6))/((-1)/3)? 9 Suppose 0*k = 5*j + 5*k, j + 5*k = -16. Suppose j*r - 96 = 44. What is the units digit of r? 5 Suppose -2*m - 2*g + 102 = 0, -2*m + 6*g + 90 = 2*g. Let b be (-1)/(-4) - (-5)/(-4). Let l = m - b. What is the units digit of l? 0 Let m = 321 + -10. What is the hundreds digit of m? 3 Suppose 3*p + 5*c = -28, 4*p + 5*c = 4*c - 9. What is the units digit of (-7)/(-21) + p*(-285)/9? 2 Let z be -3 + 0 + (7 - 5). Let x(m) = -11*m**3 + m**2 + 3*m + 1. What is the units digit of x(z)? 0 Suppose 31*c - 27*c = 15980. What is the thousands digit of c? 3 Let n(x) = -x**2 + 18*x + 47. Let s be n(23). Let y = -46 - s. What is the tens digit of y? 2 Let w be ((-2)/3)/((-8)/12). What is the tens digit of (524/(-8))/(w/(-2))? 3 Suppose 1 = s - 0, q - 5 = -2*s. What is the tens digit of ((-1)/q + 3)*(-915)/(-20)? 2 Let s(w) = 5*w + 2. Suppose 57 = -5*a + 3*t, 5*a + 54 = 4*t - 2. Let u be a/(-14)*-1*-7. What is the units digit of s(u)? 2 Let c = 18 - 25. Let f be (-2)/c + 2/(-7). Suppose -4*s = b - 16, f = -2*b - 5*s + 25 + 1. What is the units digit of b? 8 What is the tens digit of (-4)/4*2 - -420 - -4? 2 Suppose -260 = -2*j + 5*u, -8*j = -5*j - 2*u - 368. Let c = j - 99. What is the tens digit of c? 2 Let f be -33 - 8/6*-3. Let n = f - -91. What is the tens digit of n? 6 Let i = 35 - 21. Suppose -4*p = -3*g + i - 1, -p = 4*g - 11. Suppose -8*v + 125 = -g*v. What is the tens digit of v? 2 Suppose 11328 = 15*g - 7*g. What is the tens digit of g? 1 Suppose -6*d + 2986 = -5*d - 5*i, 2*i = 5*d - 14907. What is the units digit of d? 1 Let y(v) = 14*v**2 + 28*v - 42. Let i(z) = -5*z**2 - 9*z + 14. Let u(q) = 17*i(q) + 6*y(q). Let p = 4 - -9. What is the tens digit of u(p)? 1 Let i(t) = t**2 + 9*t + 23. Let c be i(-10). Let g = 37 - c. Suppose 168 = 5*a - g*j, 4*a - 2*j = a + 102. What is the units digit of a? 6 Suppose -b - 4 = -2*q - 0, -2*b = 2*q - 22. Suppose 3*z + 2*s - 223 = 0, -3*z + b*z - 243 = 3*s. What is the units digit of z? 7 Suppose q + 32 = 9*q. Suppose 0*u - 3*b = u - 34, 0 = q*b - 4. Let s = -18 + u. What is the units digit of s? 3 Let x(s) = s - 14. Suppose -4*z + 33 + 11 = 0. Let n be x(z). What is the tens digit of (-34)/n + (-6)/(-9)? 1 Let t be (-2 - 1)/(-3)*0. Suppose t*w + 2*w + 112 = 0. What is the units digit of 120/14 + (-24)/w? 9 Let z = 688 + -529. What is the hundreds digit of z? 1 Let j be (1/2)/(4/(-72)). Let u(y) = -5*y - 10. Let f be u(j). Suppose -2*i + f = -27. What is the units digit of i? 1 Suppose 0 = -2*b + 8. Suppose -b*x = 4, -3*y - y + 3 = x. Suppose c - u - 3 - 8 = 0, 0 = c + u - y. What is the units digit of c? 6 Suppose 0 = -21*p - 12*p + 71643. What is the hundreds digit of p? 1 Let y = 25 - 23. Suppose -y*l - 295 = -7*l. What is the units digit of l? 9 Let l = -44 + 0. Let w = l - -180. What is the units digit of w? 6 Let j(g) = 0 + 4 - 5*g - 4 + 3 + g**3. Let r(q) = -q**3 - 7*q**2 - q - 4. Let m be r(-7). What is the units digit of j(m)? 5 Let n(k) = -k**2 + 17*k + 20. Let q be n(18). What is the units digit of 95/(-1*1/(q/(-2)))? 5 Let b(f) = -f**3 - 3. Let h be b(0). Let u be -4*(-7)/((-28)/h). Suppose -2*g - 5*q = -g - 59, u*q + 159 = 3*g. What is the tens digit of g? 5 Let s(v) = -23*v**2 + 2*v. Let d be s(2). Let n = -51 - d. What is the units digit of n? 7 Suppose 3*n - 25 = 2*d, -5*n + 24 = 3*d - 43. Suppose 4*f - 3*h = -2*h + n, -f + 14 = -4*h. Let t(x) = 25*x + 1. What is the units digit of t(f)? 1 Suppose -8411 = f - 14*f. What is the hundreds digit
{ "pile_set_name": "DM Mathematics" }
l)*(1 + 0 - 2) + 2*l + 7*l - 8*l + 3*l + 0*l - l. 4*l Expand (2*v + 0*v - v)*(-1 - 1 + 4) - 2 - 3 + 4 + v. 3*v - 1 Expand (9 - 7 - 5)*(0*q + q - 2*q). 3*q Expand -7*y**3 - 10*y**5 + 7*y**3 + (y + 2*y**4 - y)*(-7*y + 12 - 12). -24*y**5 Expand (0*v + 3*v - 4*v)*(-174 + 174 + 51*v). -51*v**2 Expand (-4 + 1 + 4)*(0 - 1 + 3)*(4*l + l - 2*l). 6*l Expand (r + 0*r - 3*r)*(5 - 3 + 0) + (26 - 5 + 7)*(2*r - 1 + 1). 52*r Expand (1 - 5 + 2)*(1 - 10*n + 1 + 6*n). 8*n - 4 Expand (-v - 3 + 3)*(0*v - 3*v + 2*v)*(6*v - 6*v + v**2). v**4 Expand (1 + 0 - 3)*(h**3 + 3*h**3 - 2*h**3) - 3*h**3 + 2*h**3 + 2*h**3 + 4*h**3 - 3*h**3 - 2*h**3 + (0*h + 3*h - h)*(1 - 3 + 6)*(-h**2 - h**2 + 5*h**2). 20*h**3 Expand -2*c**2 + 4*c**2 - 4*c**2 + (-3*c**2 + c**2 + 4*c**2)*(-4 + 4 - 2) + 0*c**2 - 2*c**2 + 4*c**2 + 0 - 4*c**2 + 0. -8*c**2 Expand (5*z - 5*z + 2*z)*((4*z**2 - z**2 - 4*z**2)*(-z**2 + 0*z**2 + 0*z**2) + 6*z**4 + 7*z**4 + 3*z**4). 34*z**5 Expand (-i**2 + 0*i + 0*i)*(-3 - 1 + 5) - 6 - i**2 + 6. -2*i**2 Expand -5*g**2 + 0*g**2 + 4*g**2 + (5 + 0 - 3)*(-6*g**2 + 5*g**2 + 2*g**2) - 3 + 3 + 2*g**2. 3*g**2 Expand -18*w**3 + 5*w**3 + 147*w**4 - 145*w**4 + (-2*w**2 + 0 + 0)*(-5*w**2 - w**2 + 5*w**2). 4*w**4 - 13*w**3 Expand (3*r - 3*r + r)*(-3 + 3 - 1 + (-4 + 1 + 1)*(1 - 1 - 2))*(r - 3*r + 0*r). -6*r**2 Expand (g - 2*g + 3*g)*(g**4 + 2*g**2 - 2*g**2) + g**3 + 2*g**5 - g**3 + 2*g**5 + 3*g**5 - 4*g**5. 5*g**5 Expand (-7*p**2 + 2*p**2 + 6*p**2 - 15*p)*(2*p**2 + p**2 + 0*p**2)*(2 - 1 + 0)*(5 - 2 - 1). 6*p**4 - 90*p**3 Expand (7 - 7 + 22*l)*(2*l**2 - l**4 - 2*l**2 + (6*l**4 + 0*l**4 - 4*l**4)*(0 + 1 + 2)). 110*l**5 Expand (0*c - 3*c + 4*c)*(-4*c + 0*c + 3*c)*(3*c**2 - 6*c**2 - 5*c**2). 8*c**4 Expand (5*c - c - 3*c + (9*c - 1 + 1)*(-6 + 6 + 4))*(5 + 0 - 3)*(-c + c + c). 74*c**2 Expand (3 - 3 + 2)*(y**2 + 0*y**2 - 2*y**2 + (0*y + 0*y - 2*y**2)*(-1 + 0 - 1) - 1 + 1 + y**2 - y**2 + 4*y**2 - 2*y**2)*(2*y - 2*y - y). -10*y**3 Expand (-2 - 1 + 1 + (0 + 1 - 2)*(3 - 2 + 0) - 3 - 2 + 3)*(-2*y**3 + y**4 + 2*y**3). -5*y**4 Expand (-i - i + 0*i)*(3*i**4 + 0*i**2 + 3*i**2 + i**2). -6*i**5 - 8*i**3 Expand (-s - 1 + 1)*(1 + 3 - 2). -2*s Expand (-20 + 3 + 12)*(2*r**2 + r**4 - 2*r**2 + r**3). -5*r**4 - 5*r**3 Expand (n**3 + 6 - 6 - 3)*(-4*n - 2*n + 3*n). -3*n**4 + 9*n Expand (-2*h + 18*h - h)*(7*h**3 - 5*h**2 + 6*h**2 - 4*h**3). 45*h**4 + 15*h**3 Expand (0*w**3 - 2*w**3 + 3*w**3)*(25*w**2 - 12 + 12). 25*w**5 Expand 0*a + a + a + (4 - 1 - 4)*(a + 0 + 0) + 4*a - 2*a - 3*a + 0*a - 2*a + a - 3 - a + 3 - 2*a + 3*a - 3*a + a - 1 + 1 + (-4 + 1 + 2)*(-a - 4 + 4). -2*a Expand -4*t**3 + 3*t**3 + 3*t**3 - 1400 + 1400 + 47*t**3 + (t - 5*t + 2*t)*(-3*t**2 + 4*t**2 - 2*t**2). 51*t**3 Expand (-6*s + 2*s + 3*s)*(-3*s**2 - 3*s**2 + 4*s**2) + 3*s - 3*s**3 - 3*s + 3*s**3 - 10*s**3 - 8*s**3. -16*s**3 Expand (2*h + h - 5*h)*(h**2 - 3*h**2 + 3*h**2) - 4*h**3 + 4*h**3 - 5*h**3. -7*h**3 Expand -2 - 4*n + 2 + (0 - 5 + 3)*(-n + n + n) + (-3 + 1 + 0)*(n - 5*n + 0*n). 2*n Expand ((-b - 3*b + 9*b)*(0 + 2 + 1) - 2*b - 1 + 1)*(0*b**4 + 2*b**4 - b**4). 13*b**5 Expand (8 - 3 - 2)*(0*b**2 + 0*b**2 - 6*b**3 + 4*b - 2*b**3 - 4*b + (-2*b - 2*b + 3*b)*(b**2 + 0*b**2 - 2*b**2))*(2 - b**2 - 2). 21*b**5 Expand (9 - 4*p**2 - 10 - 5)*(-7 - p**2 + 7) - 4*p**4 + p**4 + p**4. 2*p**4 + 6*p**2 Expand (0 + 0 - x)*(0*x**3 + 2*x**3 - 3*x**3 + (5*x**3 - 5*x**3 - 2*x**3)*(-2 + 2 - 3)). -5*x**4 Expand (-6*b + 0*b + b)*(2*b**2 + 7*b**2 - 3*b**2). -30*b**3 Expand (-3 + 3 + d**2)*(-15 + 24 + 24). 33*d**2 Expand 1 - 1 - 2*x**2 + (2 - x - 2)*(-5*x + 5*x + x) + 3*x**2 - 2*x**2 - 3*x**2 + (2*x + x + x)*(2 + 2*x - 2). 3*x**2 Expand (2*n**2 + n - n)*(0*n**2 + 0*n**2 + 2*n**2) - 1 + 2*n**4 + 1. 6*n**4 Expand -p - 1 - 1 + 0 + (1 - 3 + 3)*(0*p + 2*p - 4*p) - p - 5*p + 3*p. -6*p - 2 Expand (0*n + 3*n - 2*n)*((-n - 4*n + 6*n)*(1 - 1 + 2) + (18 + 14 - 39)*(4*n - 3*n - 3*n)). 16*n**2 Expand (3 + 1 - 6)*((-3 - 1 + 3)*(2*p**2 - 4*p**2 + 3*p**2) - 4*p**2 - p**2 + 2*p**2 + 8 + 4 + 2*p**2 - 16). 4*p**2 + 8 Expand (-22 + 0 + 8)*(-3 + k**3 + 3). -14*k**3 Expand -2*l**4 + 2*l**2 - 2*l**2 + (2*l + 0*l + 0*l)*(-2*l + 2*l - l**3) + 5*l**4 - 8*l + 8*l + (0 + 2 - 4)*(-l**4 - 4*l**4 + 3*l**4) + 0 + 0 - 2*l**4. 3*l**4 Expand (2*t + 0*t - t)*(38 + 20 - 17). 41*t Expand 5 + 2*h - 5 + (3*h + 0*h - 2*h)*(2 + 1 + 2). 7*h Expand -g**5 + 0*g**5 + 0*g**5 + (-8 - 4 - 13*g**2 + 10)*(g**3 + 2*g - 2*g). -14*g**5 - 2*g**3 Expand (3*b - 33*b - 12*b)*(-1 - 1 + 0). 84*b Expand (2 + 0 + 6 + (2 - 3 + 0)*(2 - 1 + 0) - 2 - 2 + 2)*(-1 + 0 - 1)*(2*p - 1 + 1). -20*p Expand 2 - 2139*g + 3*g**3 + 2*g**4 + 2139*g + (2*g - 2*g - g)*(3*g**3 + g**3 - 3*g**3). g**4 + 3*g**3 + 2 Expand -3*h + h + 5*h + (-h - 3*h + h)*(1 - 4 + 1) + (4 - 1 - 6)*(2 + 4*h - 2). -3*h Expand ((-3*u - u + 3*u)*(1 + 2 - 4) + 0*u + 4*u - u)*(-89*u + 20*u**2 + 89*u). 80*u**3 Expand -7*c**4 + 2*c**4 + 3*c**4 - 2*c + 5*c**4 + 2*c + 0*c**4 + 0*c**4 + 2*c**4 + (0*c + 0*c - c**3)*(-c - c + 0*c). 7*c**4 Expand (-2 + 0 - 3)*(5*z - 4*z + 5*z)*(z + z - 4*z)*(-3*z + 5*z - 4*z). -120*z**3 Expand (21 - 3*f - 21)*(0*f**2 + 2*f**2 - f**2). -3*f**3 Expand -z**2 + 0*z**2 + 3*z**2 + (-3*z + 0*z + z)*(0*z + z - 2*z) + z**2 + 4*z - 4*z + 8*z**2 + 0*z + 0*z + 3*z**2 + z**2 - 6*z**2. 11*z**2 Expand x**5 - 3*x**4 + 3*x**4 + (18*x + 10 - 10)*(4 - 4 - 6*x**4). -107*x**5 Expand (3*f**2 + f**2 - 2*f**2 + (-2*f + 5*f - f)*(2*f - 3*f + 2*f))*(-3*f - f + f)*(-4*f**2 - f**2 + 7*f**2). -24*f**5 Expand (1 - 5 + 2)*(35 + s - 35)*(-3*s**4 - 2*s**4 + 2*s**4). 6*s**5 Expand -4*o**3 - 2*o**3 + 4*o**3 + (3*o - 7*o + 2*o)*(0*o**2 + 5*o**2 - 3*o**2) + 3*o**3 - o**3 - 3*o**3 + 0*o**3 + 5*o - 3*o**3 + o**3. -9*o**3 + 5*o Expand (3*o - 3*o + 1 - o**2)*(2*o - 12*o - 16*o). 26*o**3 - 26*o Expand 18*b - b**5 + 2*b**4 - 18*b + (-5*b**2 - 4*b + 4*b)*(-b**2 + b**3 + b**2). -6*b**5 + 2*b**4 Expand (26 + 26*l**2 - 26)*(-3*l + l + 0*l). -52*l**3 Expand -3*b**4 + 3*b**4 + b**4 + 4*b - b**4 - 4*b + (4*b + b**4 - 4*b)*(-1 + 0 + 0) + b**2 + b - 3*b**4 - 2*b**3 - b**2. -4*b**4 - 2*b**3 + b Expand 0*x - 3*x + 2*x + (-1 + 0 + 4)*(-2*x + 0*x + 4*x). 5*x Expand (-5*c**2 + 2*c**2 + c**2)*(-c**3 + 0*c**3 + 0*c**3) + 7 - 7 - 3*c**5 + 2*c**5 - 4*c**5 + 4*c**5 + 1. c**5 + 1 Expand -28*b - 2*b**2 - 4 + 27*b + 1 + (1 - 2*b - 1)*(-2*b - 2*b + 2*b). 2*b**2 - b - 3 Expand (-o**2 - 2*o**4 + o**2)*(-5 - 1 + 1). 10*o**4 Expand (2*p - 5*p + 2*p)*(4 + 0 + 0) + (3 - 6 + 1)*(-1 - p + 1). -2*p Expand (p**3 - p**2 + p**2)*(0 - 3 + 1) - 92 + 2*p - 2*p**3 + 64 + 0*p**3. -4*p**3 + 2*p - 28 Expand (-3*s - 4*s + 3*s)*(-3*s + 6*s - 2*s). -4*s**2 Expand (2*h + 2*h - 2*h)*(-5 + 1 + 5)*(-6*h - 27 + 27). -12*h**2 Expand (2391*k - 2391*k - 54*k**2)*(k + 3*k - 3*k)*(-2*k + 0*k + k). 54*k**4 Expand (-2 + 3 - 2 + 3*s)*(-3*s + 2*s - 4*s). -15*s**2 + 5*s Expand (-4 - g + 4)*(-4*g**3 - 2*g**3 + 4*g**3) + (-4 + 4 - 2*g**2)*(-2*g**2 - g**2 - g**2). 10*g**4 Expand -4*k - 2 + 2 + (5 - 3 + 4)*(-3 + k + 3). 2*k Expand (0*u - u + 2*u)*(2*u**2 + 3*u**2 - u**2) + (-u - u + u)*(0*u - 2*u**2 + 0*u) + 0*u**3 + 4*u**3 - 3*u**3. 7*u**3 Expand ((-3 + 2 + 5)*(0*u + u + u) + u + 0 + 0)*((1 + 0 + 1)*(-2*u + 3*u + 0*u) + 0*u + 3*u - 2*u - 2*u + 0*u + 0*u). 9*u**2 Expand (2*w**2 - 3 + 3)*(-12*w**2 + 8*w**2 - 12*w**2). -32*w**4 Expand (2*z + 2 - 4 + 1)*(3 - 2 - 4). -6*z + 3 Expand (-2 + d + 2)*(-4*d**2 + 0*d**2 + 3*d**2) + 2*d**3 + 0*d**3 + 0*d**3. d**3 Expand (0 + 0 - 5)*(-2*c + 2*c + 5*c**5 + (c**4 - c**4 + c**4)*(0*c + 3*c - c)). -35*c**5 Expand (5 - 1 - 2)*(2*p + p + p - 2*p + 3*p + p + (p + 0 + 0)*(-1 + 3 - 3)). 10*p Expand (3 - 6 + 2)*(-5 + 2 + 0)*(2 - 2 - 3*s). -9*s Expand (-s + 2*s + s)*(-94 + 214 - 74). 92*s Expand 3*z + 1 - 1 + (-z + 2*z - 3*z)*(-2 + 1 + 3). -z Expand (-k**4 + 5*k**4 - 2*k**4)*(-1 + 1 - 2*k) + (2*k**4 - 3*k**4 - k**4)*(-1 + 1 + 2*k) + 3*k**2 - 3*k**2 - 5*k**5. -13*k**5 Expand (6 - 1 - 1)*(-9*c - 14 + 14). -36*c Expand (-2*q + 2 - 2)*(3 - 3 + 3)*(-2 + 4*q + 2). -24*q**2 Expand (6*p**2 - 2*p**2 - 2*p**2)*(-3*p**2 + 3 - 3) + (0*p**3 - 3*p**3 - p**3)*(0*p + 5*p - 3*p). -14*p**4 Expand (-v + v - 2*v)*(-3*v - 5*v + v). 14*v**2 Expand (6 - 6 - 2*z)*(1 - 1 - 2) + (2 - 3 + 2)*(-3*z + 3*z - z). 3*z Expand (-3 - 2*a + 0 + 1)*(-2 + 1 - 4)*(4 - 1 - 2). 10*a + 10 Expand -2*x**3 + 3*x - 3*x + (19 - 19 + 11*x)*(2*x**2 + x**2 - 2*x**2). 9*x*
{ "pile_set_name": "DM Mathematics" }
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3070 Round -0.0296517849 to two dps. -0.03 What is -11310120.96 rounded to the nearest 1000? -11310000 Round 152.361273 to the nearest 10. 150 Round -0.0000002862055367 to seven dps. -0.0000003 Round 7181401693 to the nearest one million. 7181000000 What is 21932.8865 rounded to the nearest integer? 21933 What is 0.000276214216 rounded to 5 dps? 0.00028 What is 0.7849943739 rounded to 3 dps? 0.785 Round -0.00762707276 to 3 decimal places. -0.008 What is 862994930 rounded to the nearest one hundred thousand? 863000000 Round -70986.19653 to the nearest 10000. -70000 What is 0.008458579622 rounded to 5 dps? 0.00846 What is -84.730491 rounded to the nearest integer? -85 Round 141076.04 to the nearest ten thousand. 140000 Round 105.456535 to the nearest 100. 100 Round -26.08354775 to two dps. -26.08 Round -8.191649 to two decimal places. -8.19 Round 7495871.916 to the nearest 1000. 7496000 Round -2.28432193 to two decimal places. -2.28 Round 0.0004267572816 to six decimal places. 0.000427 What is 0.0001034383585 rounded to seven decimal places? 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{ "pile_set_name": "DM Mathematics" }
-5 for n. -3 Solve 0 = 43*w - 39*w - 8 for w. 2 Solve 0 = 7*y - 48 + 20 for y. 4 Solve 7*g - 11 = 17 for g. 4 Solve 3828 = -15*d + 3738 for d. -6 Solve 0 = 14*d - 0*d + 14 for d. -1 Solve 0 = 5*q + 38 - 28 for q. -2 Solve 18*u - 28*u = 40 for u. -4 Solve -12*u - 21 = -5*u for u. -3 Solve 6*q + 7*q = -26 for q. -2 Solve 14 - 39 = -5*h for h. 5 Solve -17*w + 19 = 19 for w. 0 Solve 0 = -4*k - 4 + 4 for k. 0 Solve -v - 14 = -10 for v. -4 Solve 127*o - 125*o - 6 = 0 for o. 3 Solve 72*s = 74*s - 12 for s. 6 Solve 0 = 24*v - 141 - 75 for v. 9 Solve 18*x = 7*x + 11 for x. 1 Solve 166*w = 419 + 245 for w. 4 Solve 6 = 7*h - 4*h for h. 2 Solve 4*u = 4 - 12 for u. -2 Solve 78 - 72 = 3*j for j. 2 Solve 3*z + 30 = 13*z for z. 3 Solve -3*x + 336 = 354 for x. -6 Solve 6*w + 660 = 636 for w. -4 Solve 0 = -3*k + 456 - 438 for k. 6 Solve 0 = 87*s - 33*s - 162 for s. 3 Solve 0 = -264*m + 291*m + 189 for m. -7 Solve 17*s - 31*s = -28 for s. 2 Solve -8*v - 39 = 5*v for v. -3 Solve -8 = -11*y - 63 for y. -5 Solve -3*q = -17*q for q. 0 Solve -242 = 63*k + 73 for k. -5 Solve -9*q = 64 + 17 for q. -9 Solve 5*k = -0*k - 5 for k. -1 Solve 3*c + 24 = -3*c for c. -4 Solve 1280 - 1388 = 12*a for a. -9 Solve -26*k + 104 - 26 = 0 for k. 3 Solve -2 = 2*v - 0 for v. -1 Solve 33 + 0 = -11*i for i. -3 Solve 8*r = 19*r for r. 0 Solve 15*c = 20*c + 10 for c. -2 Solve -123*f + 115*f = -48 for f. 6 Solve -63*r = -31 - 473 for r. 8 Solve -5*w = -7*w for w. 0 Solve -14*t - 10 = -24*t for t. 1 Solve -14*y + 3*y - 11 = 0 for y. -1 Solve 0 = 228*f - 247*f - 38 for f. -2 Solve -151*a + 80 = -161*a for a. -8 Solve -108*h = -173*h + 260 for h. 4 Solve -12*k + 14*k = -6 for k. -3 Solve 4*v = -13 + 5 for v. -2 Solve 15 = -10*v + 5*v for v. -3 Solve 0 = 26*h - 19 + 97 for h. -3 Solve -5*g + 872 = 877 for g. -1 Solve 5*d + 24 = 4 for d. -4 Solve 5*f + 36 = -7*f for f. -3 Solve y + 10 = 8 for y. -2 Solve 19*p - 6 = 13*p for p. 1 Solve 60 = -57*h + 69*h for h. 5 Solve 5*o + 2 + 13 = 0 for o. -3 Solve 8*v + 61 - 29 = 0 for v. -4 Solve -9*n - 90 = -45 for n. -5 Solve 12*g - 87 = -3 for g. 7 Solve -33*m - 100 = 65 for m. -5 Solve -2*d + 10*d + 40 = 0 for d. -5 Solve -180 + 132 = 6*w for w. -8 Solve -53 = -18*l + 1 for l. 3 Solve 40 = -9*r + 40 for r. 0 Solve 0 = -16*k + 20*k - 24 for k. 6 Solve -106 = 5*f - 101 for f. -1 Solve 108 + 81 = 21*r for r. 9 Solve -15*y + 1100 = 85*y for y. 11 Solve 4*n - 1 - 7 = 0 for n. 2 Solve 6*p - 140 = -22*p for p. 5 Solve -668*q = -693*q - 75 for q. -3 Solve 936*g - 15 = 933*g for g. 5 Solve 7*v + 110 = 29*v for v. 5 Solve 417*w - 27 = 426*w for w. -3 Solve -133*i = -149*i + 112 for i. 7 Solve 5*t + 42 = 32 for t. -2 Solve 3*t + 26 - 29 = 0 for t. 1 Solve -13*h = 132 - 2 for h. -10 Solve -2 = 2*c + 4 for c. -3 Solve -64*f + 20 = -68*f for f. -5 Solve 14*t - 6 = -48 for t. -3 Solve -3*v = 233 - 215 for v. -6 Solve 363 = 53*f - 61 for f. 8 Solve -85*d = -2 + 2 for d. 0 Solve 11*m - 25 = 16*m for m. -5 Solve 0 = 9*c - 839 + 776 for c. 7 Solve 45*j + 252 = -63 for j. -7 Solve 3*u - 208 = -223 for u. -5 Solve 12 = -b + 8 for b. -4 Solve 130*k + 2 = 131*k for k. 2 Solve -108 = 29*r - 47*r for r. 6 Solve 2*g - 129 = -135 for g. -3 Solve 2*f = -0*f - 10 for f. -5 Solve 5*l - 14 = 6 for l. 4 Solve -11 = 4*d + 5 for d. -4 Solve -28 = 2*t - 20 for t. -4 Solve -23*w = -2*w + 84 for w. -4 Solve 68*x + 6 = 74*x for x. 1 Solve -1895 = 4*u - 1871 for u. -6 Solve -8*n = -148 + 196 for n. -6 Solve 39*x - 6 = 45*x for x. -1 Solve -7*d = -10*d for d. 0 Solve 4 + 8 = 3*s for s. 4 Solve -10*s - 28 = 2 for s. -3 Solve 2*n = -7*n + 46*n for n. 0 Solve 4*p = -17 + 5 for p. -3 Solve -6 = -5*j + 4 for j. 2 Solve -72 = -23*w + 5*w for w. 4 Solve 2*i - 196 + 180 = 0 for i. 8 Solve 16*v - 30 - 82 = 0 for v. 7 Solve 72*n - 280 = 16*n for n. 5 Solve 26*q - 71 = 85 for q. 6 Solve -125*x = -129*x - 12 for x. -3 Solve 9*y = 2*y + 28 for y. 4 Solve 8*k + 6 + 2 = 0 for k. -1 Solve -4*n = 7*n - 66 for n. 6 Solve 91 - 36 = -11*i for i. -5 Solve 5*d + 4 + 6 = 0 for d. -2 Solve 22 - 62 = -10*y for y. 4 Solve 69*i = 86 + 121 for i. 3 Solve 776*w = 757*w - 171 for w. -9 Solve -42*w + 48*w = 0 for w. 0 Solve -19*s - 7 = -12*s for s. -1 Solve 26*x + 252 = 200 for x. -2 Solve 15*k - 17*k + 8 = 0 for k. 4 Solve -2*v = 3*v for v. 0 Solve -5*z = 505 - 490 for z. -3 Solve 4*x = 6*x - 10 for x. 5 Solve -25*d = -20*d + 15 for d. -3 Solve -12*j = -52*j + 320 for j. 8 Solve 32*f = 44*f + 36 for f. -3 Solve 151*d - 157*d + 6 = 0 for d. 1 Solve 0 = z - 5*z + 28 for z. 7 Solve -84 = -2*f - 10*f for f. 7 Solve 46*m - 66*m + 120 = 0 for m. 6 Solve -141 = -43*r + 160 for r. 7 Solve 194*t + 931 = 61*t for t. -7 Solve 0 = 4*n + 192 - 212 for n. 5 Solve -16 = 11*j - 3*j for j. -2 Solve -28 = 22*j - 6 for j. -1 Solve -6*j + j + 5 = 0 for j. 1 Solve 0 = 18*t - 0*t + 144 for t. -8 Solve 40 + 41 = 9*l for l. 9 Solve -u = u + 6 for u. -3 Solve -9*c - 527 = -545 for c. 2 Solve 18*y = -106 + 16 for y. -5 Solve -278 + 110 = 21*s for s. -8 Solve y + 7 - 8 = 0 for y. 1 Solve 434 = -82*p + 20*p for p. -7 Solve 25*v - 80 - 70 = 0 for v. 6 Solve -187*s - 9 = -186*s for s. -9 Solve 0 = -23*g + 63 - 201 for g. -6 Solve 43*r - 24 = 37*r for r. 4 Solve -13*v + 3*v - 10 = 0 for v. -1 Solve -12*h = 4 - 16 for h. 1 Solve -832*l + 90 = -847*l for l. -6 Solve -6*s + 8*s = -10 for s. -5 Solve 36*j = -12 + 84 for j. 2 Solve 18*a - 99 = -27 for a. 4 Solve 0*k + 8*k - 5*k = 0 for k. 0 Solve 24*l + 25*l + 245 = 0 for l. -5 Solve -47*p + 43*p = 0 for p. 0 Solve 0 = -29*z + 30*z for z. 0 Solve 628*v = 627*v - 4 for v. -4 Solve -288*c + 301*c = 91 for c. 7 Solve 0 = 2*r - 50 + 52 for r. -1 Solve 0 = 119*l - 103*l + 80 for l. -5 Solve -18*l + 102 = -l for l. 6 Solve -49*w - 35 - 14 = 0 for w. -1 Solve 10 = -278*h + 283*h for h. 2 Solve 0 = -3*s + 2*s - s for s. 0 Solve -11*v = -13*v + 6 for v. 3 Solve -47*v - 49 = 45 for v. -2 Solve 0 = 10*a - 4 + 24 for a. -2 Solve -3*a = a - 32 for a. 8 Solve 38*r - 29*r - 18 = 0 for r. 2 Solve -3 = 9*d + 42 for d. -5 Solve -10*x - 42 = -92 for x. 5 Solve -204*g = -202*g + 2 for g. -1 Solve 7*o - 4*o = -6 for o. -2 Solve 0 = 5924*u - 5922*u + 6 for u. -3 Solve 2640*j - 24 = 2632*j for j. 3 Solve 6 = 30*x - 28*x for x. 3 Solve 4*y + 95 = 111 for y. 4 Solve -7*m = 1796 - 1810 for m. 2 Solve -58*t = -57*t + 4 for t. -4 Solve 4*i + 8 = -0*i for i. -2 Solve 32 = 14*j - 22*j for j. -4 Solve 11*o = 16*o - 10 for o. 2 Solve 18*r + 289 = 271 for r. -1 Solve 16 = 5*z + 21 for z. -1 Solve 66 = -4*s + 74 for s. 2 Solve -8*g + 4*g = 0 for g. 0 Solve -35 = 140*a - 135*a for a. -7 Solve -11*j - 14 - 19 = 0 for j. -3 Solve -12*z + 6*z - 18 = 0 for z. -3 Solve 0 = -s - 4*s + 10 for s. 2 Solve 0*a + 108 = 27*a for a. 4 Solve 181 = 50*k - 19 for k. 4 Solve 12 = -20*c + 22*c for c. 6 Solve -64*c + 55*c + 63 = 0 for c. 7 Solve -7*i - 149 + 135 = 0 for i. -2 Solve 0 = 6*y + 6*y - 36 for y. 3 Solve 11*b = 6*b - 15 for b. -3 Solve -11*i = 41*i - 208 for i. 4 Solve -118 = -7*h - 111 for h. 1 Solve 0 = -3*s + 4*s - 5 for s. 5 Solve -20*j + 22 = 42 for j. -1 Solve -22*p = -24*p + 4 for p. 2 Solve -24*z + 3 = -27*z for z. -1 Solve 10 = -j + 13 for j. 3 Solve 97*k = 92*k - 15 for k. -3 Solve 3*y + 62 = 74 for y. 4 Solve -1127*v = -1121*v - 12 for v. 2 Solve 10*i = 33*i + 184 for i. -8 Solve 35*v + 4 = -136 for v. -4 Solve -130*z + 8 = 138 for z. -1 Solve 6*s - 17 + 41 = 0 for s. -4 Solve 58*j - 77*j - 57 = 0 for j. -3 Solve 0 = 26*q - 23*q + 9 for q. -3 Solve 3*w + 40 = 46 for w. 2 Solve 0 = 7*p - 13*p + 18 for p. 3 Solve 0 = 4*c - 5*c - 5 for c. -5 Solve 5*i = i - 16 for i. -4 Solve 14 + 2 = -4*z for z. -4 Solve -2*g + 6 = -4*g for g. -3 Solve -37*d = 13*d - 250 for d. 5 Solve 20*j + 77 = 9*j for j. -7 Solve -15*n - 3 = -78 for n. 5 Solve 7*h = -16404 + 16446 for h. 6 Solve 6*p + 8 = 8*p for p. 4 Solve 0 = -135*c + 142*c - 35 for c. 5 Solve -958*k + 965*k - 56 = 0 for k. 8 Solve 159 = 5*k + 129 for k. 6 Solve 24*g + 36 = 28*g for g. 9 Solve 10 = 2*u + 2 for u. 4 Solve 0*i + 3*i = -6 for i. -2 Solve -h = 15 - 10 for h. -5 Solve -62*q + 19 = -43*q for q. 1 Solve -11*c = 8*c - 19 for c. 1 Solve -387*m = -388*m + 2 for m. 2 Solve -46*c + 46 + 46 = 0 for c. 2 Solve 28*m = 30*m + 4 for m. -2 Solve 6*y + 43 = 61 for y. 3 Solve 2*v + 13 - 11 = 0 for v.
{ "pile_set_name": "DM Mathematics" }
05578. 2, 11, 4799 What are the prime factors of 54187? 7, 7741 List the prime factors of 9686. 2, 29, 167 What are the prime factors of 14028? 2, 3, 7, 167 What are the prime factors of 2288? 2, 11, 13 List the prime factors of 5366. 2, 2683 What are the prime factors of 14245? 5, 7, 11, 37 What are the prime factors of 29108? 2, 19, 383 List the prime factors of 1365. 3, 5, 7, 13 What are the prime factors of 834? 2, 3, 139 List the prime factors of 105614. 2, 52807 List the prime factors of 848. 2, 53 List the prime factors of 8864. 2, 277 List the prime factors of 1753. 1753 List the prime factors of 333. 3, 37 List the prime factors of 423. 3, 47 List the prime factors of 34161. 3, 59, 193 What are the prime factors of 9471? 3, 7, 11, 41 List the prime factors of 643. 643 What are the prime factors of 997? 997 List the prime factors of 29. 29 List the prime factors of 1212. 2, 3, 101 What are the prime factors of 1474? 2, 11, 67 List the prime factors of 105031. 105031 What are the prime factors of 11153? 19, 587 What are the prime factors of 46107? 3, 47, 109 What are the prime factors of 3055? 5, 13, 47 List the prime factors of 437. 19, 23 What are the prime factors of 9218? 2, 11, 419 List the prime factors of 676. 2, 13 What are the prime factors of 29524? 2, 11, 61 List the prime factors of 155477. 7, 19, 167 What are the prime factors of 78242? 2, 19, 29, 71 What are the prime factors of 3239? 41, 79 What are the prime factors of 61237? 11, 19, 293 What are the prime factors of 863? 863 List the prime factors of 3002. 2, 19, 79 List the prime factors of 6387. 3, 2129 List the prime factors of 4148. 2, 17, 61 List the prime factors of 2200. 2, 5, 11 What are the prime factors of 5447? 13, 419 What are the prime factors of 45934? 2, 7, 17, 193 List the prime factors of 36774. 2, 3, 227 List the prime factors of 18163. 41, 443 What are the prime factors of 63521? 63521 What are the prime factors of 3597? 3, 11, 109 What are the prime factors of 5574? 2, 3, 929 List the prime factors of 629. 17, 37 List the prime factors of 116974. 2, 11, 13, 409 List the prime factors of 8284. 2, 19, 109 List the prime factors of 156748. 2, 149, 263 List the prime factors of 173. 173 What are the prime factors of 4501? 7, 643 List the prime factors of 66157. 7, 13, 727 List the prime factors of 6210. 2, 3, 5, 23 List the prime factors of 3106. 2, 1553 List the prime factors of 555. 3, 5, 37 List the prime factors of 47724. 2, 3, 41, 97 List the prime factors of 1753. 1753 What are the prime factors of 81706? 2, 40853 List the prime factors of 71. 71 What are the prime factors of 23801? 23801 List the prime factors of 2767. 2767 List the prime factors of 884. 2, 13, 17 What are the prime factors of 396? 2, 3, 11 What are the prime factors of 7637? 7, 1091 What are the prime factors of 2501? 41, 61 What are the prime factors of 17826? 2, 3, 2971 What are the prime factors of 15680? 2, 5, 7 What are the prime factors of 1744? 2, 109 What are the prime factors of 2479? 37, 67 What are the prime factors of 7725? 3, 5, 103 What are the prime factors of 5900? 2, 5, 59 List the prime factors of 23. 23 What are the prime factors of 970? 2, 5, 97 List the prime factors of 63727. 63727 What are the prime factors of 6057? 3, 673 List the prime factors of 3250. 2, 5, 13 What are the prime factors of 359? 359 List the prime factors of 817. 19, 43 List the prime factors of 446. 2, 223 List the prime factors of 1089. 3, 11 What are the prime factors of 480? 2, 3, 5 List the prime factors of 7282. 2, 11, 331 List the prime factors of 961. 31 What are the prime factors of 5427? 3, 67 What are the prime factors of 2387? 7, 11, 31 What are the prime factors of 6694? 2, 3347 List the prime factors of 13365. 3, 5, 11 What are the prime factors of 242? 2, 11 List the prime factors of 1783. 1783 What are the prime factors of 19857? 3, 6619 List the prime factors of 7990. 2, 5, 17, 47 List the prime factors of 30444. 2, 3, 43, 59 What are the prime factors of 3399? 3, 11, 103 What are the prime factors of 41387? 41387 What are the prime factors of 131420? 2, 5, 6571 List the prime factors of 22446. 2, 3, 29, 43 List the prime factors of 32675. 5, 1307 What are the prime factors of 159311? 159311 List the prime factors of 3339. 3, 7, 53 List the prime factors of 1952. 2, 61 What are the prime factors of 530? 2, 5, 53 List the prime factors of 216. 2, 3 What are the prime factors of 115? 5, 23 What are the prime factors of 4690? 2, 5, 7, 67 List the prime factors of 489. 3, 163 List the prime factors of 52541. 52541 List the prime factors of 5216. 2, 163 What are the prime factors of 27514? 2, 13757 What are the prime factors of 807? 3, 269 List the prime factors of 11208. 2, 3, 467 What are the prime factors of 16745? 5, 17, 197 List the prime factors of 5966. 2, 19, 157 List the prime factors of 429. 3, 11, 13 What are the prime factors of 577? 577 List the prime factors of 2618. 2, 7, 11, 17 What are the prime factors of 5147? 5147 What are the prime factors of 345? 3, 5, 23 What are the prime factors of 6127? 11, 557 What are the prime factors of 670? 2, 5, 67 List the prime factors of 16653. 3, 7, 13, 61 List the prime factors of 7787. 13, 599 What are the prime factors of 28454? 2, 41, 347 What are the prime factors of 17745? 3, 5, 7, 13 List the prime factors of 1137. 3, 379 List the prime factors of 432. 2, 3 List the prime factors of 3784. 2, 11, 43 What are the prime factors of 14496? 2, 3, 151 What are the prime factors of 1660? 2, 5, 83 What are the prime factors of 1640? 2, 5, 41 List the prime factors of 2107. 7, 43 What are the prime factors of 3681? 3, 409 What are the prime factors of 2788? 2, 17, 41 What are the prime factors of 733? 733 What are the prime factors of 1401? 3, 467 What are the prime factors of 813? 3, 271 List the prime factors of 9392. 2, 587 List the prime factors of 988. 2, 13, 19 What are the prime factors of 106392? 2, 3, 11, 13, 31 List the prime factors of 581. 7, 83 What are the prime factors of 4532? 2, 11, 103 List the prime factors of 635. 5, 127 What are the prime factors of 7097? 47, 151 List the prime factors of 16568. 2, 19, 109 List the prime factors of 1428. 2, 3, 7, 17 List the prime factors of 22256. 2, 13, 107 What are the prime factors of 9357? 3, 3119 What are the prime factors of 707? 7, 101 List the prime factors of 4880. 2, 5, 61 What are the prime factors of 3181? 3181 List the prime factors of 64157. 64157 List the prime factors of 3278. 2, 11, 149 List the prime factors of 7158. 2, 3, 1193 List the prime factors of 2068. 2, 11, 47 What are the prime factors of 629? 17, 37 What are the prime factors of 21347? 21347 What are the prime factors of 478? 2, 239 List the prime factors of 229. 229 List the prime factors of 51258. 2, 3, 8543 List the prime factors of 1594. 2, 797 What are the prime factors of 7062? 2, 3, 11, 107 What are the prime factors of 13694? 2, 41, 167 List the prime factors of 1984. 2, 31 List the prime factors of 698. 2, 349 What are the prime factors of 5648? 2, 353 What are the prime factors of 2259? 3, 251 What are the prime factors of 7353? 3, 19, 43 List the prime factors of 79203. 3, 17, 1553 What are the prime factors of 1757? 7, 251 List the prime factors of 556. 2, 139 What are the prime factors of 427? 7, 61 What are the prime factors of 95117? 11, 8647 What are the prime factors of 12035? 5, 29, 83 What are the prime factors of 1754? 2, 877 List the prime factors of 225. 3, 5 List the prime factors of 2458. 2, 1229 List the prime factors of 10947. 3, 41, 89 List the prime factors of 34645. 5, 13, 41 What are the prime factors of 1248? 2, 3, 13 List the prime factors of 908. 2, 227 List the prime factors of 2511. 3, 31 List the prime factors of 2737. 7, 17, 23 List the prime factors of 888. 2, 3, 37 List the prime factors of 7820. 2, 5, 17, 23 What are the prime factors of 7942? 2, 11, 19 List the prime factors of 1309. 7, 11, 17 What are the prime factors of 15646? 2, 7823 What are the prime factors of 3210? 2, 3, 5, 107 What are the prime factors of 10644? 2, 3, 887 What are the prime factors of 23692? 2, 5923 What are the prime factors of 16347? 3, 5449 List the prime factors of 582
{ "pile_set_name": "DM Mathematics" }
+ 25*g*j**2 - 2*j**2*o**2 + 2*j**2 wrt g. -f*j**2*o**2 + 3*f*j + 25*j**2 What is the third derivative of 1590*r**3 - 1000*r**2 wrt r? 9540 What is the second derivative of -77*u**3*x - 2*u**2*x - 5*u*x + 28*x + 1 wrt u? -462*u*x - 4*x What is the second derivative of -39*v**5 - 342*v**2 - 15404*v? -780*v**3 - 684 What is the second derivative of -734*j**5 + 3*j - 30 wrt j? -14680*j**3 Find the second derivative of -114*g*y**5 + 4*g*y - 81*g - 7*y**4 wrt y. -2280*g*y**3 - 84*y**2 What is the second derivative of 16*b**2*x + 2*b*x - 2*x - 33 wrt b? 32*x Differentiate z**3 + 525*z - 3390 with respect to z. 3*z**2 + 525 What is the second derivative of 18259*s**2 + 7*s - 92 wrt s? 36518 Differentiate -2397*n*p**2*z - p**2*z + 2047*z with respect to n. -2397*p**2*z What is the third derivative of -607*x**4 + 1498*x**2? -14568*x What is the third derivative of -3424*d*t**5 - 96*d*t**2 + d - t**5 - 4*t**2 wrt t? -205440*d*t**2 - 60*t**2 Differentiate 6*z**4 - 3*z**3 + 57 with respect to z. 24*z**3 - 9*z**2 Find the second derivative of -2*a**3*h**2*x**3 - 2*a**3*h*x - 5*a**3*x**3 + 94*a**2*h**2*x**3 - 2*a**2*h wrt h. -4*a**3*x**3 + 188*a**2*x**3 Find the second derivative of 720*j**4 - 466*j wrt j. 8640*j**2 What is the second derivative of 240*v**2 + 475*v - 2 wrt v? 480 What is the second derivative of 26*c*d**3*w + c*d**2*w + 9*c*d*w**2 - 2*c*w + 2*c - 7*d**3*w**2 wrt w? 18*c*d - 14*d**3 Differentiate -29*d*w**2 + 31*w**2 wrt d. -29*w**2 What is the second derivative of 4*h**3 - 28*h**2*s + 12*h**2 + 647*h*s wrt h? 24*h - 56*s + 24 What is the derivative of b**2 - 14521*b - 14339? 2*b - 14521 What is the derivative of -1003*c**2*h - 1197*c**2 wrt h? -1003*c**2 Find the second derivative of o**3*t**3 - 78*o**3*t - 135*o*t**3 + 19*t wrt t. 6*o**3*t - 810*o*t Find the first derivative of -52*p**2 - 43*p - 10461. -104*p - 43 Differentiate -2*f**2 + f*q*r + 50*f*r - 4*q*r + q + 83 wrt f. -4*f + q*r + 50*r What is the second derivative of -183*i**5 + 3*i**4 - 2*i**2 + 35*i + 16? -3660*i**3 + 36*i**2 - 4 What is the third derivative of 34*b*k*n**3*t - 2*b*k*t - 2*b*n**3*t + b*n**2*t - b*n**2 + 5*k*n**2*t - k*n**2 wrt n? 204*b*k*t - 12*b*t Differentiate 2*c**3*w - 283*c**3 - 177*c**2*w wrt w. 2*c**3 - 177*c**2 Find the third derivative of -7601*j**3 - 14832*j**2. -45606 Find the third derivative of -15350*l**3 + 2240*l**2 - 2*l + 1. -92100 Find the first derivative of -297*a**3 - a**2 - 387 wrt a. -891*a**2 - 2*a Find the second derivative of o*v**3 - 3*o*v + o - 2*v**3 + 62*v**2 wrt v. 6*o*v - 12*v + 124 What is the derivative of 3476*z**4 - 1949? 13904*z**3 Find the third derivative of -962*h**4 + 81*h**2 - 2*h wrt h. -23088*h What is the second derivative of -2*a**3*c**3 + 142*a**3*c**2 - a**3*c - 9*a**2*c - 5 wrt c? -12*a**3*c + 284*a**3 What is the derivative of 2*t*w - 35*t - 77*w + 2 wrt w? 2*t - 77 Differentiate -150*d**2*h**3*l - 22*d**2*h**2 + d**2*l + 2*d*h**3 with respect to l. -150*d**2*h**3 + d**2 Differentiate 309*i**3 + 19*i**2 + 1544. 927*i**2 + 38*i Find the first derivative of 593*c*p**2 - 14*p**2 - 8*p wrt c. 593*p**2 What is the second derivative of -50*p**2 - 4*p + 2 wrt p? -100 Find the second derivative of -212*w**3 - w - 113. -1272*w Find the second derivative of 881*v**3 + 216*v - 3. 5286*v Find the second derivative of -2*i**2*p**3*y**3 - 1973*i**2*p*y**3 - 8*i*p**3 + 13*i*p*y**3 - 2*i*y**2 wrt i. -4*p**3*y**3 - 3946*p*y**3 Find the third derivative of 131*a**3 + 35*a**2 + 3*a wrt a. 786 Find the third derivative of -1178*t**3 + 20295*t**2 wrt t. -7068 Differentiate 3*l**2*t + 122*l**2 - 2*l - 136*t + 1 with respect to l. 6*l*t + 244*l - 2 Find the third derivative of -m**3*s**3 + 4*m**3*s**2 + 6*m**3 + 4*m**2*s**3 + 4*m*s**4 wrt s. -6*m**3 + 24*m**2 + 96*m*s Find the third derivative of 182*p**3 + 508*p**2 wrt p. 1092 What is the third derivative of 9*b**4*w**3 - 10*b**4*w + b**3*w**3 - 2*b**2*w**3 - 2*b*w + 55*w**3 wrt b? 216*b*w**3 - 240*b*w + 6*w**3 Differentiate 2003*v**4 - 5*v**3 - 1320. 8012*v**3 - 15*v**2 Find the second derivative of 4*m**4 - 31*m**2 - 10566*m. 48*m**2 - 62 Differentiate 7*m**2*q + 10*m**2 - 3*m*q**2 + 1819*q**2 with respect to m. 14*m*q + 20*m - 3*q**2 What is the first derivative of 12*q**3 - 12*q**2 + 105 wrt q? 36*q**2 - 24*q Find the first derivative of 188*g**2 - 154 wrt g. 376*g Find the first derivative of 2*o**2 + 277*o - 1442 wrt o. 4*o + 277 Find the first derivative of 67*v**2 - 3*v - 236 wrt v. 134*v - 3 Find the first derivative of 69*c - 375. 69 Find the second derivative of -663*g**4*p + 2*g**2 + 24*g*p + 13*p wrt g. -7956*g**2*p + 4 What is the derivative of -3654*s + 7405? -3654 Find the second derivative of 141*i**4 + i**3 - i - 642. 1692*i**2 + 6*i What is the second derivative of -f*t**3 - 3164*f*t + 236*t**3 - 2*t wrt t? -6*f*t + 1416*t Find the second derivative of -1389*h**4 + h**3*s - 2*h + 3*s - 284 wrt h. -16668*h**2 + 6*h*s Find the third derivative of -j**4 - 960*j**3 - 45*j**2 + 15*j wrt j. -24*j - 5760 What is the second derivative of -332*j**5 - 488*j? -6640*j**3 What is the second derivative of 2998*o**2 - 3379*o? 5996 What is the derivative of -11*c**3 - 3*c**2 + 610 wrt c? -33*c**2 - 6*c What is the derivative of 5537*b + 2687? 5537 What is the third derivative of 37*r**4 + 818*r**2 wrt r? 888*r Find the second derivative of -3619*s**2*v**3 + 52*s*v**2 + s*v - 2*v**3 - v**2 wrt s. -7238*v**3 What is the second derivative of -28*g**3*r**3 - g**2*r**2*y**2 - g**2 - 6*g*r**3*y**2 + g*r**2*y - 11*r*y**2 wrt g? -168*g*r**3 - 2*r**2*y**2 - 2 What is the first derivative of -71*s**4*u**2 + 11*s**3*u**3 + 5*u**3 + 129*u**2 wrt s? -284*s**3*u**2 + 33*s**2*u**3 What is the second derivative of -69*p**2*u**3 - 2*p**2*u + 9*p**2 + 3*p*u**3 - 2*p + 6*u**2 wrt u? -414*p**2*u + 18*p*u + 12 What is the second derivative of -3*b**3*z**2 - b**3 - 2*b**2*z**2 + 7*b*z**2 wrt b? -18*b*z**2 - 6*b - 4*z**2 Find the third derivative of 2*k**4*p**2 - 106*k**3*p**2 - 2*k**2 + 57*p**2 wrt k. 48*k*p**2 - 636*p**2 Find the third derivative of -3*i**3*o*r**3 + 2*i**3*r - 107*i**2*r**2 - 72*o*r**3 + o wrt r. -18*i**3*o - 432*o Find the second derivative of -a**5*k + 10*a**4*k**2 - 4*a*k**2 wrt a. -20*a**3*k + 120*a**2*k**2 Differentiate -10*d**2*j**3 + 351*d**2 + 27968*j**3 wrt d. -20*d*j**3 + 702*d What is the second derivative of 4*b**2*n*r - b**2 + b*n*r - n*r + 11*n wrt b? 8*n*r - 2 Find the first derivative of -237*j**2*k - 202*j**2 + 1 wrt k. -237*j**2 What is the third derivative of -51*o**5*x - o**4*x + 7*o**3*x + 1013*o**2*x wrt o? -3060*o**2*x - 24*o*x + 42*x Find the second derivative of -2*a**2*i**2 - 22*a**2*i*m**3 - 4*a*i**2*m**2 + a*i**2*m + 15*a*m**3 wrt a. -4*i**2 - 44*i*m**3 What is the third derivative of -3873*a**2*c**3*f**2 - a**2*c**2*f - 101*a**2*f + a*f + 3*c**2*f**2 wrt c? -23238*a**2*f**2 What is the third derivative of -2*d**5*s - d**4*s + 12*d**3 - 7*d**2*s - 2*d**2 wrt d? -120*d**2*s - 24*d*s + 72 What is the third derivative of 333*p**5 + 478*p**2? 19980*p**2 Find the third derivative of -133*x**6 - 301*x**2. -15960*x**3 Differentiate x**4 - 80 wrt x. 4*x**3 Find the second derivative of -2*w**4 - 16*w**2 + 167*w. -24*w**2 - 32 Differentiate -6*n**3 + 30*n**2 - n + 11075 with respect to n. -18*n**2 + 60*n - 1 Find the first derivative of 1011*w**3 + 2742. 3033*w**2 What is the second derivative of -l**2*o**2 + 97*l**2*o + 2*l**2 + 45*l*o**2 wrt o? -2*l**2 + 90*l What is the derivative of 2*c*j*u**2 + 2*c*u**2 - 22*c + j*u**2 + 4*j + 57*u + 1 wrt u? 4*c*j*u + 4*c*u + 2*j*u + 57 What is the third derivative of -2*i**2*m**4 + 4*i**2*m**2 + 58*i**2*m + i*m**2 + 2*m**5 wrt m? -48*i**2*m + 120*m**2 What is the derivative of i**3*u**2 + 15*i**3 + 21*i**2*u**2 - 3*i**2*u - 10*i wrt u? 2*i**3*u + 42*i**2*u - 3*i**2 What is the derivative of 15*m**3*z**3 - 91*m**3 - 5*z**3 + 2 wrt z? 45*m**3*z**2 - 15*z**2 What is the derivative of -885*i - 791 wrt i? -885 What is the second derivative of -2*h**2*j**2*l - 11*h**2*j*l**2 + 2*h*j**2*l**2 - 2*h*j*l**2 - 4*j**2*l**2 + 2*j*l**2 wrt j? -4*h**2*l + 4*h*l**2 - 8*l**2 What is the second derivative of -23397*a**2*z + a*z + 193*z - 3 wrt a? -46794*z What is the second derivative of 5169*x**2 + 5517*x? 10338 What is the second derivati
{ "pile_set_name": "DM Mathematics" }
t(z(s))? -18*s Let q(z) = -7*z. Let g(m) = -85*m**2 + 11*m - 39*m + 12*m + 16*m. Determine g(q(i)). -4165*i**2 Let c(o) be the first derivative of o**5/15 + 14*o**3/3 + 14. Let a(p) be the third derivative of c(p). Let s(x) = x**2. Determine s(a(f)). 64*f**2 Let c(m) = -5*m. Let k(j) = -2*j**2 - 26949*j. What is c(k(z))? 10*z**2 + 134745*z Let v be 2 - (8/(-4) + 2). Let f(b) = 79*b**v - 36*b**2 - 44*b**2. Let s(i) = -i. What is s(f(n))? n**2 Let i(m) = 5*m + 6. Let d = -58 - -64. Let b(s) = 4*s + 5. Let k(v) = d*b(v) - 5*i(v). Let q(r) = -6*r. What is k(q(h))? 6*h Let s(t) = -2*t. Let f(u) = -2*u**2 + 4*u - 27. Let d(v) = -5*v**2 + 9*v - 55. Let x be 18/(4/(-2))*1. Let r(h) = x*f(h) + 4*d(h). Give r(s(b)). -8*b**2 + 23 Let f(a) = 121*a**2 + 8. Let h(l) = 11*l - 3*l - 8*l - 2*l. What is h(f(j))? -242*j**2 - 16 Let h(s) = -6*s + 2*s + 3*s. Suppose 3 = z - b, 2*z + 7*b - 3*b = -12. Let q(f) = 0*f - 4*f - 2*f + z*f. What is h(q(y))? 6*y Suppose 6*j - 7*j + 2 = 0. Let q(g) = 47*g + g**j - 47*g. Let s(y) = -y. Let c(a) = -4*a. Let k(r) = -4*c(r) + 14*s(r). Calculate q(k(i)). 4*i**2 Let i(n) = -3*n**2 + 65*n + 26. Let a be i(22). Let d(l) be the second derivative of -10*l + 0*l**3 + 5/12*l**a + 0*l**2 + 0. Let v(q) = -2*q**2. Give v(d(h)). -50*h**4 Let j(s) = 3*s**2 + s - 745. Let p(r) = 7*r. Calculate j(p(t)). 147*t**2 + 7*t - 745 Let k(p) = -3*p**2. Let c(y) be the first derivative of 73*y**3/3 - 145. What is k(c(z))? -15987*z**4 Let u(o) = o**2 - 1. Let d(q) = 5*q**2 - 2. Let s(i) = 2*d(i) - 4*u(i). Let a = 5 + -3. Let w(h) = a*h - 28 + 28. Determine s(w(x)). 24*x**2 Suppose -8 = w + 4*t, -3*w = -5*w - 4*t. Let v(o) = 10*o**2 - 7 - 1 + w. Let g(z) = 2*z**2. Calculate v(g(b)). 40*b**4 Let c(w) = 2*w - 282. Let d(u) = -22*u. What is d(c(z))? -44*z + 6204 Let i(b) = 646*b**2. Let v(j) = -173*j. Calculate v(i(f)). -111758*f**2 Let l(q) = -q**2 + 1. Suppose 2*v - 8 + 4 = 0. Let o(x) = -48 + 2*x**v + 48. Give l(o(d)). -4*d**4 + 1 Let c(t) = -7312*t - 182. Let k(v) = -v. Calculate k(c(i)). 7312*i + 182 Let l(m) = 6*m**2. Let i(n) = -9*n**2 - 6. Let x(h) = 16*h**2 + 11. Let w(g) = -11*i(g) - 6*x(g). Determine l(w(j)). 54*j**4 Let b(q) = -518*q. Let m(h) = -3*h**2 + 5. Calculate b(m(l)). 1554*l**2 - 2590 Let p(n) = -5*n. Let i = 688 - 688. Let v(f) be the third derivative of 0 - 1/8*f**4 + i*f + 0*f**3 + 9*f**2. Determine p(v(z)). 15*z Let v(x) be the first derivative of 4*x**2 - 783. Suppose 0 = -3*a - a + 12. Let l(u) = -a*u + 2*u**2 + 3*u. What is l(v(s))? 128*s**2 Let g(u) = u**2. Let q(z) = 14838*z + 10. What is q(g(x))? 14838*x**2 + 10 Let m(z) = 2*z. Let s(t) = 746521*t**2. What is m(s(v))? 1493042*v**2 Let x(v) = 3*v. Let f(h) = h. Let u(l) = 8*f(l) - 3*x(l). Let n(q) = -64*q. What is n(u(o))? 64*o Suppose 4 = 2*c, 3*k + 4*c - 8*c - 19 = 0. Let x(g) = -7 + k*g + 7 + 5*g. Let y(u) = -2*u**2. Give y(x(o)). -392*o**2 Let r(m) = 20*m**2. Suppose -c + s = 3*s - 12, 2*c + 5*s - 28 = 0. Let x(w) = c*w + 248 - 248. Give x(r(f)). 80*f**2 Let c(f) = 155705*f. Let v(d) = -d**2. What is c(v(m))? -155705*m**2 Let o(i) = 2*i. Let f be ((-12)/15)/(8/(-20)). Let m(b) = 3 + f*b + 0*b - 3. Give o(m(c)). 4*c Let o(t) = 404*t**2 - t - 7. Let x(n) = 4*n. What is o(x(j))? 6464*j**2 - 4*j - 7 Suppose 3*l - 2*p - 3188 = -2*l, 4*l - 2540 = -p. Let u(c) = l*c - 636*c - c**2. Let m(k) = k. What is m(u(g))? -g**2 Let t(v) = 5*v + 2. Let p(u) = -25*u - 11. Let f(c) = 4*p(c) + 22*t(c). Let y(m) = 3*m - 3*m + 2*m. What is y(f(o))? 20*o Let k(y) = -7*y**2. Let j(m) = -m + 11. Let d be j(8). Suppose -4*w + d*w + 12 = -3*o, 3*o - 15 = 0. Let p(t) = -w*t + 7*t + 18*t. Give k(p(n)). -28*n**2 Let u(f) = -f**2 - 48*f. Let h(y) = -2*y + 1. Let k(n) = -33*n + 15. Let p(m) = -45*h(m) + 3*k(m). Determine u(p(d)). -81*d**2 + 432*d Let r(z) = 9*z**2 + 1. Let g(f) = 5*f + 2. Let i(q) = 21*q + 9. Let h(v) = 9*g(v) - 2*i(v). Calculate r(h(n)). 81*n**2 + 1 Suppose -2*i = 2*o - 7*i - 9, 0 = -o + 4*i. Let n(f) = -3*f - o*f + 12*f. Let h(v) = -8*v. Let b(j) = -9*j. Let a(k) = -6*b(k) + 7*h(k). Calculate a(n(u)). 6*u Let t(a) = 2*a. Let v(h) be the second derivative of 11*h**4/12 - h - 7. Determine t(v(m)). 22*m**2 Let j(d) = 2*d**2. Let c(t) = -32*t**2 - 5*t + 5. Let s = 79 + -86. Let u(g) = -48*g**2 - 7*g + 7. Let y(f) = s*c(f) + 5*u(f). Give j(y(r)). 512*r**4 Let k(l) = 3*l - 16. Let u(o) = 515*o - 2. Calculate u(k(i)). 1545*i - 8242 Let r(w) = -11*w**2. Suppose -61 = -a + 5*h + 2, -2*h + 234 = 5*a. Let s(p) = -51*p - a*p + 99*p + 4*p**2. Determine s(r(f)). 484*f**4 Let b(f) = -3*f. Let k(s) = s**2 - s + 1. Let h(v) = 6 + 4*v - 10*v + 16*v**2 + v**2. Let u(j) = h(j) - 6*k(j). What is u(b(z))? 99*z**2 Let x(n) = 148*n. Let o(j) = -16*j. Let b(s) = 28*o(s) + 3*x(s). Let w(r) = -7*r. Calculate b(w(q)). 28*q Let k(t) = -1081728*t**2. Let z(s) = 2*s**2. What is z(k(u))? 2340270931968*u**4 Let f(t) = -12*t**2. Let g(q) = q**2. Let l(x) = -f(x) - 15*g(x). Let n(h) = 10*h. Give n(l(r)). -30*r**2 Let a(l) be the third derivative of -l**5/6 + 7*l**2 - 8. Let r(z) = 13*z. What is a(r(p))? -1690*p**2 Let w(f) = -10*f. Let d(j) be the first derivative of -4*j**2 - 148. Give w(d(i)). 80*i Suppose -6*u + 505 = -u. Let w(v) = 101 - u - 53*v. Let d(t) = -2*t. Determine d(w(y)). 106*y Let x(u) = 54*u**2. Let v(h) = -5*h**2 + 7*h**2 - 9 + 9. Give v(x(d)). 5832*d**4 Suppose 56 = 5*f + n + 3*n, 3*n - 52 = -5*f. Let q(m) = 14*m**2 - 19*m**2 + f*m**2. Let k(d) = -4*d**2 + 6*d**2 + 3*d - 3*d. What is q(k(y))? 12*y**4 Let w(p) = 158*p. Let d(j) = 12*j + 20. Let x(t) = 2*t + 4. Let h(f) = -d(f) + 5*x(f). Give w(h(i)). -316*i Let l(o) = -o**2. Let a(p) = 2*p**2 + 1. Let v(z) = 19*z**2 + 15. Let m(t) = -6*a(t) + v(t). Determine l(m(i)). -49*i**4 - 126*i**2 - 81 Let u(g) = -7*g + 0 + 0. Let f(z) be the third derivative of 0*z**4 + 0 - 16*z**2 + 0*z**3 + 0*z - 1/30*z**5. Give f(u(n)). -98*n**2 Let d(h) = -h. Let w(b) = 15*b - 2. Let a be w(2). Suppose -4*r = -9*r + 4*u + a, 4*u - 44 = -4*r. Let f(o) = 5*o - 2*o + 4*o + r*o. Give d(f(x)). -15*x Let r(a) = -11172*a**2. Let n(c) = 15*c. Give n(r(d)). -167580*d**2 Let f(v) = -28*v**2. Let d(w) = -14*w**2. Let o(c) = 5*d(c) - 3*f(c). Let x(a) be the second derivative of -2*a**3/3 + 4*a + 24. Give x(o(u)). -56*u**2 Let d(r) = 1352*r**2. Let s(p) = -59*p. What is s(d(j))? -79768*j**2 Let a(y) be the second derivative of 11*y**4/4 + 65*y - 2. Let l(z) = -17*z**2. Determine a(l(f)). 9537*f**4 Let j(g) = 49*g**2. Let y(u) = 4*u + 5*u - 7*u. Determine j(y(s)). 196*s**2 Let n(x) = 33*x**2 + 6*x. Let u(m) = 0*m + 6*m + 2*m - 5*m - 2*m. Give u(n(c)). 33*c**2 + 6*c Let z(t) = 282*t - 1. Let s(o) = -o**2 + 22*o. What is z(s(i))? -282*i**2 + 6204*i - 1 Let m(f) = 3*f. Let t be ((-8)/(-10))/((-22)/55). Let g(i) = 216*i**2 + 15. Let s(b) = -31*b**2 - 2. Let l(y) = t*g(y) - 15*s(y). Calculate l(m(w)). 297*w**2 Let t(q) = 107*q. Let y(f) be the first derivative of f**3 + 56. Determine y(t(v)). 34347*v**2 Let a(k) = -2*k**2 - 2*k - 1. Let i(d) = 8*d**2 + 10*d + 5. Let q(f) = 5*a(f) + i(f). Let z(p) = 1723*p**2. Give z(q(v)). 6892*v**4 Let d(s) = 22*s + 60. Let l(y) = -11*y - 25. Let c(o) = -3*d(o) - 7*l(o). Let t(q) = 4*q. Calculate t(c(b)). 44*b - 20 Let b(g) = g - g + 5*g. Let u(m) be the second derivative of m**6/720 - 5*m**4/12 - m. Let j(w) be the third derivative of u(w). What is b(j(h))? 5*h Let z(a) = -4*a**2. Let k(r) = -8*r**2 - r. Let u(d) = 8*d**2 + 4*d. Let m(l) = -3*k(l) - 2*u(l). Calculate m(z(w)). 128*w**4 + 20*w**2 Let y(r) = -17*r**2 - 11*r - 10*r + 55*r**2 - 16*r**2 - 23*r**2. Let b(l) = l**2. Give b(y(i)). i**4 + 42*i**3 + 441*i**2 Let x(m) = -41*m. Let c(z) = -47*z**2 - 51*z**2 - 52*z**2 + 154*z**2. Give c(x(y)). 6724*y**2 Let b(h) = -19*h. Let x(k) = -489*k**2. Give b(x(t)). 9291*t**2 Let v(n) = -2*n. Let p(y) = -3*y**2 + 7*y + 14. Let o(z) = -z - 1. Let x(b) = -7*o(b) - p(b). Give v(x(g)). -6*g**2 + 14 Let g(o) = 2*o. Suppose 86 - 21 = 13*y. Let b(f) be the second derivative of 0 + 0*f**2 - y*f + 1/3*f**3. Determine b(g(r)). 4*r Let r(o) be the third derivative of 1/12*o**4 + 0 + 0*o + 26*o**2 + 0*o**3. Let x(c) be the third derivative of c**4/2 + 3*c**2. Determine r(x(n)). 24*n Let i(v) = -111*v - 111*v + 221*v. Let x(f) = 2*f - 22. What is i(x(p))? -2*p + 22 Let l(f)
{ "pile_set_name": "DM Mathematics" }
4*t What is the p'th term of -38, -76, -102, -110, -94, -48? p**3 - 45*p + 6 What is the s'th term of 223, 223, 213, 187, 139, 63? -s**3 + s**2 + 4*s + 219 What is the k'th term of 9, 24, 51, 90, 141, 204, 279? 6*k**2 - 3*k + 6 What is the y'th term of -21, -19, -7, 21, 71, 149, 261? y**3 - y**2 - 2*y - 19 What is the c'th term of -11, -12, -17, -26, -39, -56? -2*c**2 + 5*c - 14 What is the i'th term of 53, 90, 131, 176, 225, 278, 335? 2*i**2 + 31*i + 20 What is the b'th term of 26, 49, 74, 101, 130, 161, 194? b**2 + 20*b + 5 What is the n'th term of -1, 38, 139, 332, 647, 1114, 1763? 5*n**3 + n**2 + n - 8 What is the n'th term of 233, 225, 211, 191, 165, 133, 95? -3*n**2 + n + 235 What is the p'th term of 31, 48, 67, 88, 111? p**2 + 14*p + 16 What is the m'th term of 45135, 45134, 45131, 45126, 45119, 45110, 45099? -m**2 + 2*m + 45134 What is the d'th term of -42, -178, -404, -720, -1126, -1622, -2208? -45*d**2 - d + 4 What is the k'th term of -332, -537, -744, -953, -1164? -k**2 - 202*k - 129 What is the l'th term of 53, 186, 407, 716, 1113? 44*l**2 + l + 8 What is the z'th term of 17723, 17722, 17721? -z + 17724 What is the q'th term of 16, 3, -34, -107, -228, -409, -662, -999? -2*q**3 + q + 17 What is the s'th term of -372, -595, -830, -1083, -1360, -1667? -s**3 - 216*s - 155 What is the b'th term of -32, -33, -34, -35, -36, -37? -b - 31 What is the k'th term of 2611, 5220, 7829, 10438, 13047? 2609*k + 2 What is the o'th term of 513, 515, 517? 2*o + 511 What is the k'th term of -77, -75, -73, -71, -69? 2*k - 79 What is the z'th term of -54, -56, -58, -60, -62? -2*z - 52 What is the b'th term of -150, -165, -180, -195? -15*b - 135 What is the u'th term of 739, 777, 817, 859? u**2 + 35*u + 703 What is the m'th term of 227, 339, 533, 815, 1191? m**3 + 35*m**2 + 191 What is the b'th term of -659, -658, -657, -656, -655, -654? b - 660 What is the b'th term of -139, -165, -207, -265, -339, -429? -8*b**2 - 2*b - 129 What is the x'th term of -86, -98, -124, -170, -242, -346, -488, -674? -x**3 - x**2 - 2*x - 82 What is the u'th term of 24, 46, 90, 162, 268, 414, 606, 850? u**3 + 5*u**2 + 18 What is the b'th term of 7, 33, 59, 85, 111? 26*b - 19 What is the i'th term of 1, 24, 75, 160, 285? i**3 + 8*i**2 - 8*i What is the v'th term of -5, -5, -1, 7, 19, 35? 2*v**2 - 6*v - 1 What is the q'th term of -12, -46, -116, -240, -436, -722, -1116? -3*q**3 - 13*q + 4 What is the g'th term of -14, -26, -38, -50, -62, -74? -12*g - 2 What is the h'th term of -738, -737, -736, -735, -734, -733? h - 739 What is the l'th term of 532, 1052, 1546, 2002, 2408, 2752, 3022, 3206? -2*l**3 - l**2 + 537*l - 2 What is the m'th term of -541, -531, -515, -493? 3*m**2 + m - 545 What is the f'th term of 0, 5, 12, 21, 32, 45? f**2 + 2*f - 3 What is the p'th term of 6, 35, 54, 57, 38? -p**3 + p**2 + 33*p - 27 What is the h'th term of -205, -195, -177, -151, -117? 4*h**2 - 2*h - 207 What is the r'th term of -1299, -1298, -1297, -1296, -1295, -1294? r - 1300 What is the y'th term of 2300, 4604, 6912, 9224, 11540? 2*y**2 + 2298*y What is the g'th term of -69, -142, -215? -73*g + 4 What is the w'th term of 40, 101, 164, 229? w**2 + 58*w - 19 What is the i'th term of 67, 124, 181? 57*i + 10 What is the n'th term of 108, 191, 288, 405, 548, 723? n**3 + n**2 + 73*n + 33 What is the m'th term of 345, 693, 1041, 1389, 1737, 2085? 348*m - 3 What is the p'th term of -4543, -4540, -4537, -4534, -4531, -4528? 3*p - 4546 What is the c'th term of -19, -7, 31, 107, 233, 421, 683, 1031? 2*c**3 + c**2 - 5*c - 17 What is the y'th term of -32, -6, 6, -2, -36, -102? -y**3 - y**2 + 36*y - 66 What is the q'th term of -12, -25, -54, -105, -184, -297? -q**3 - 2*q**2 - 9 What is the x'th term of -5, -25, -53, -83, -109, -125? x**3 - 10*x**2 + 3*x + 1 What is the v'th term of 16484, 32965, 49448, 65933, 82420, 98909, 115400? v**2 + 16478*v + 5 What is the x'th term of 2948, 2946, 2944, 2942, 2940, 2938? -2*x + 2950 What is the c'th term of 80, 293, 640, 1121, 1736? 67*c**2 + 12*c + 1 What is the t'th term of -14, -11, -8, -5, -2, 1? 3*t - 17 What is the o'th term of 103, 102, 101, 100, 99, 98? -o + 104 What is the n'th term of 46, 111, 212, 367, 594, 911, 1336? 3*n**3 + 44*n - 1 What is the l'th term of 42, 33, 18, -3, -30? -3*l**2 + 45 What is the s'th term of 61, 225, 491, 853, 1305? -s**3 + 57*s**2 + 5 What is the j'th term of 465, 933, 1411, 1905, 2421, 2965, 3543? j**3 - j**2 + 464*j + 1 What is the l'th term of 4435, 8869, 13303, 17737, 22171? 4434*l + 1 What is the c'th term of 3, 13, 31, 57, 91? 4*c**2 - 2*c + 1 What is the l'th term of 26233, 52467, 78701? 26234*l - 1 What is the r'th term of -3593, -7189, -10785, -14381, -17977? -3596*r + 3 What is the y'th term of -470, -914, -1334, -1718, -2054, -2330, -2534? 2*y**3 - 458*y - 14 What is the y'th term of -4, -20, -74, -184, -368, -644, -1030, -1544? -3*y**3 - y**2 + 8*y - 8 What is the b'th term of 298, 295, 290, 283, 274? -b**2 + 299 What is the a'th term of 127, 490, 1093, 1936, 3019, 4342? 120*a**2 + 3*a + 4 What is the t'th term of 606, 1212, 1818, 2424, 3030? 606*t What is the r'th term of 53, 66, 87, 116, 153, 198, 251? 4*r**2 + r + 48 What is the s'th term of -3, -9, -17, -27? -s**2 - 3*s + 1 What is the y'th term of 3801, 7604, 11407? 3803*y - 2 What is the t'th term of -9, -11, -11, -9? t**2 - 5*t - 5 What is the c'th term of 527, 1052, 1577, 2102, 2627? 525*c + 2 What is the l'th term of 399, 798, 1197, 1596? 399*l What is the i'th term of 52, 46, 42, 40, 40, 42, 46? i**2 - 9*i + 60 What is the a'th term of 9, 19, 29? 10*a - 1 What is the w'th term of 33, 96, 189, 312, 465, 648, 861? 15*w**2 + 18*w What is the m'th term of 8, -6, -20? -14*m + 22 What is the t'th term of 80, 150, 220, 290, 360? 70*t + 10 What is the l'th term of -11, -10, -9? l - 12 What is the i'th term of 118, 236, 354? 118*i What is the n'th term of 82, 322, 722, 1282, 2002, 2882? 80*n**2 + 2 What is the d'th term of -104, -83, -62, -41? 21*d - 125 What is the w'th term of -143, -285, -429, -575, -723, -873, -1025? -w**2 - 139*w - 3 What is the s'th term of -4, -17, -28, -37, -44, -49? s**2 - 16*s + 11 What is the l'th term of -35, -26, -17, -2, 25, 70, 139? l**3 - 6*l**2 + 20*l - 50 What is the w'th term of -143, -137, -141, -161, -203, -273, -377, -521? -w**3 + w**2 + 10*w - 153 What is the w'th term of -40, -80, -108, -118, -104, -60? w**3 - 47*w + 6 What is the o'th term of -3045, -6087, -9129? -3042*o - 3 What is the b'th term of -25474, -25473, -25472? b - 25475 What is the a'th term of 29, 48, 79, 122, 177? 6*a**2 + a + 22 What is the t'th term of -916, -1836, -2756? -920*t + 4 What is the m'th term of 848, 1699, 2552, 3407, 4264, 5123, 5984? m**2 + 848*m - 1 What is the l'th term of -365, -778, -1213, -1682, -2197, -2770? -2*l**3 + l**2 - 402*l + 38 What is the h'th term of -28, -92, -198, -364, -608, -948? -3*h**3 - 3*h**2 - 34*h + 12 What is the c'th term of -18, -7, 20, 69, 146, 257, 408, 605? c**3 + 2*c**2 - 2*c - 19 What is the x'th term of 5, -23, -83, -187, -347, -575? -2*x**3 - 4*x**2 - 2*x + 13 What is the g'th term of 60308, 60309, 60310, 60311, 60312, 60313? g + 60307 What is the z'th term of -592, -590, -588, -586, -584? 2*z - 594 What is the z'th term of 203, 357, 499, 623, 723, 793? -z**3 + 161*z + 43 What is the z'th term of 3, 6, 9, 12? 3*z What is the u'th term of 20, 36, 52? 16*u + 4 What is the z'th term of 39, 22, -29, -132, -305? -3*z**3 + z**2 + z + 40 What is the f'th term of -17, -31, -45? -14*f - 3 What is the y'th term of -624, -628, -632, -636, -640? -4*y - 620 What is the c'th term of 331, 318, 305, 292? -13*c + 344 What is the h'th term of -110, -199, -266, -311, -334, -335, -314? 11*h**2 - 122*h + 1 What is the p'th term of 242, 473, 706, 941, 1178? p**2 + 228*p + 13 What is the a'th term of -452, -454, -456, -458, -460? -2*a - 450 What is the b'th term of -76, -153, -230, -307, -384, -461? -77*b + 1 What is the w'th term of 346, 1323, 2958, 5257, 8226, 11871, 16198? w**3 + 323*w**2 + w + 21 What is the s'th term of 34, 64, 94, 124? 30*s + 4 What is the s'th term of -153, -324, -521, -756, -1041, -1388, -1809, -2316? -2*s**3 - s**2 - 154*s + 4 What is the o'th term of -254, -255, -268, -299, -354, -439? -o**3 + 6*o - 259 Wh
{ "pile_set_name": "DM Mathematics" }
Let p = 1465.2 - 1465. Let w be ((-4)/(-16))/(1/8). Suppose 5*j = -22 + w. Which is the smallest value? (a) j (b) p (c) -6 c Let w = -0.33 - -19.33. Let o = w - 19.3. Suppose 5*d - 11 = -4*f + 14, 3*f = -2*d + 10. What is the second smallest value in 0, d, o? 0 Let r = -47419/42 - -1129. Let n = 27 - 23. Which is the second smallest value? (a) -0.3 (b) r (c) n b Let b = 23 + -48. Let g = -25 - b. Let t = -3 - g. What is the third smallest value in t, 0.7, -3/4? 0.7 Let z = -11746/555 - -788/37. What is the third smallest value in z, 10.81, -4? 10.81 Let h = -59.737 - -60. Let o = h - 0.26. Let g = -4.003 + o. Which is the fourth smallest value? (a) 2/7 (b) g (c) 1 (d) -1/10 c Let b = 430 - 393.7. Let m = -36.6 + b. Let w = -0.3 + 1.3. What is the smallest value in w, -1/13, m? m Let c = -73 - -84. Let t = 9.1 - 14.1. What is the third biggest value in 5, -1, t, c? -1 Let q = -11 - -23. Let u = -7 + q. Let j = -1596 - -17552/11. Which is the biggest value? (a) u (b) j (c) 2 a Let m(p) = p**3 + 7*p**2 - 15*p - 21. Let x be m(-9). Let n be ((-2)/8)/(x/64). What is the second biggest value in n, 0.3, -1/6? 0.3 Let s = -1142/3 - -400. Let l = -113/6 + s. Which is the second smallest value? (a) -2 (b) -0.4 (c) l b Let j = 5296 + -5298. Which is the third biggest value? (a) 2 (b) 3/7 (c) j (d) 4 (e) -0.4 b Let f = 55 - 54.7. Let k = -6 - -5.6. Let w = 795/4 + -199. Which is the biggest value? (a) -4/3 (b) f (c) w (d) k b Let f = -5918 - -5916. What is the second biggest value in f, -27/5, -5? -5 Let m = -0.04185 - -0.02685. Which is the biggest value? (a) 9 (b) m (c) 2/5 a Let l = -0.02 + 0.52. Let t = -16 + 58. Let q = -8961 - -8960. Which is the biggest value? (a) t (b) l (c) q a Let w = -0.3404 - -0.4304. Which is the second biggest value? (a) -12 (b) -3/7 (c) w b Let s = 133/22 - 61/11. Let p = -0.01 - 0.04. Which is the second biggest value? (a) p (b) 1/3 (c) s b Let m = -1.161 + 6.161. Which is the second biggest value? (a) m (b) 3 (c) 0.05 (d) 11 a Let x be ((-120)/132)/(10/(-44)). Which is the biggest value? (a) 69 (b) 0.6 (c) x a Suppose -61*t = -5*t + 112. Which is the fourth biggest value? (a) 34 (b) -5 (c) -0.4 (d) t b Let v = 465/3656 - 1/457. Let m = 80/3 + -26. Let q = 11 + -9. Which is the fourth smallest value? (a) q (b) v (c) 4 (d) m c Let d be ((-198)/9 - -18)/(1/5 + -1). What is the biggest value in 43/5, d, -2/15? 43/5 Let z = 6.68 + -10.68. Let m = -8 - -2. Let r = 6.4 + m. What is the second smallest value in z, r, 0.5? r Let n = 15.795 - 15.195. Which is the second smallest value? (a) n (b) -1 (c) 3 (d) -114 b Let q = -126 + 8. Let d = -123 - q. What is the third biggest value in 0.1, d, -0.1, 42? -0.1 Let x = 1971 - 1970.9. Which is the third biggest value? (a) x (b) 7/8 (c) 3 (d) -4 a Suppose -43*h + 556 - 156 = -143*h. Let q be (3/10)/(84/70). Which is the fourth smallest value? (a) h (b) -0.4 (c) 0.5 (d) q c Let l = -86 + 86.13. Let q = -0.025 + -0.205. Let g = l + q. Which is the second smallest value? (a) -1 (b) -3 (c) g a Let y = 2963 + -927416/313. Let t = 304/939 + y. Which is the second smallest value? (a) 33 (b) -1 (c) t c Suppose 53*p = 50*p - 12*x + 39, 0 = x - 4. Let f be 15/(-108) - 1/(-4). Which is the biggest value? (a) f (b) -1 (c) 0.2 (d) p c Let p(f) = 12*f**2 + 41*f - 27. Let i be p(-4). Which is the third biggest value? (a) -10/41 (b) -2 (c) i b Let q = 2.97 - -0.03. Let n = -67097/2 - -33548. Let v = 0 + 0. What is the biggest value in n, q, v? q Let h = 1.323 - 1.36. Let s = h - -0.937. What is the smallest value in 1/6, -1, 1, s? -1 Suppose 2*v = 2999 - 2981. Which is the fourth smallest value? (a) 0 (b) 1/6 (c) -1 (d) v d Let t be 550/693 + (-16)/28. Which is the smallest value? (a) -14 (b) 2 (c) t (d) -1/6 a Let m = -32.201 + 32.6. Let t = m + -0.699. What is the second smallest value in 0.5, 62, t? 0.5 Let p be (84/(-840))/(1/(-4)). What is the fourth smallest value in 0, 0.1, 1/4, 6.01, p? p Let i = 0.319 - -0.093. Let m = -0.012 + i. Let s = -25 + 31. Which is the second biggest value? (a) m (b) s (c) -3 a Let p = 1.913 + -3.913. Let r(u) = u**2 + u + 1. Let v be r(-2). Suppose z - 8 = -v*z. Which is the biggest value? (a) p (b) 0.1 (c) 4 (d) z c Suppose -18 = -3*w - 2*l, -469 = -3*l - 460. Let z be 18/(-45) + (-47)/(-30). Let o = -3/2 + z. What is the biggest value in o, -14, w? w Let i = -26088 + 26087.6. Let t = 2.1 + -2. Let y = -3.1 + t. What is the fourth smallest value in 2/15, i, y, -0.2? 2/15 Suppose -2*k - 1004 = -m - 7*k, -1 = -k. Let i = m - 3997/4. Let o = 3 - 8. Which is the smallest value? (a) o (b) i (c) 1.2 a Suppose 24*w = -2*j + 21*w + 15, 4*j + 5*w = 31. Let k be 12/8*j/(-54). Which is the second biggest value? (a) k (b) 5 (c) 1 (d) -0.1 c Suppose -4*j - 3*o - 5 = 0, 0 = 3*j + j + 4*o + 4. Let d be (22/55)/(36/(-20)). Which is the smallest value? (a) -0.5 (b) j (c) d b Let r = 23784 + -23655. What is the second biggest value in -1/6, 4, r? 4 Suppose 3*m = -3*p + 6*p + 18, -p + 3 = 0. Suppose -m = -5*n + 11. Let w = 0.2486916 - -0.0513084. Which is the third smallest value? (a) 2/7 (b) n (c) w b Let q = 14.924 + -0.924. Let j be -4 + -3 + 0/1. Which is the third smallest value? (a) j (b) -0.1 (c) 0 (d) q c Let h = -19.74 + 23.74. Let o be ((-52)/6)/(4/(-6)). Let t(x) = -x**3 + 13*x**2 - x + 9. Let g be t(o). What is the third biggest value in -1, h, g? g Let w = -304 + 3954/13. Let c be (-1)/11 + (-45184)/2464. Let n = c + 131/7. What is the biggest value in -1/9, w, n, -7? n Let v = 0.01462 + -0.31462. Which is the smallest value? (a) -1/5 (b) v (c) -17/4 (d) -2/217 c Let q = 19166 + -55565/3. Let b = q - 645. What is the second biggest value in 10/3, b, 0.8? 0.8 Let o = -31297 + 31399. Which is the fifth smallest value? (a) -1/11 (b) -1/3 (c) 6/11 (d) 1 (e) o e Let p = 0.277 - -0.003. Let m = 0.28 - p. Let x = 3.8 - 3.84. Which is the smallest value? (a) x (b) m (c) 3 (d) 4 a Let q = -0.0964 + 514.0964. Let o = 514.1 - q. What is the biggest value in o, -27, 3, 0.2? 3 Let r = -6 + 8. Suppose -2*p + 6 = -5*s, 12 = 4*p - 3*s + r*s. Let d = 132.7 - 133. What is the second smallest value in p, d, -1/7? -1/7 Let i = -170 - -2892/17. Let v = 233.5 + -234. Which is the smallest value? (a) v (b) i (c) -12 (d) 5 c Let u be 3346/(-1195) - 4*1/(-5). Which is the third biggest value? (a) -5 (b) -257 (c) u (d) -3 a Suppose 4*h + 2*x = 3*h - 4, 11 = 4*h - x. Let g = -6 - -2. Which is the smallest value? (a) h (b) -12 (c) -2 (d) g b Let n be ((-30)/105)/((-5)/14)*35. Let r be -4 - (63/n)/((-6)/32). Let s = 0.6 - 0.3. What is the smallest value in s, -1, r, 1/5? -1 Let x be (3/1830)/(104/(-416)). What is the second smallest value in 2/7, 3, x, -3? x Let p = 4433/1413 + -510/157. Which is the fourth smallest value? (a) 2 (b) p (c) 0.06 (d) -4 a Let i = 3196 - 3031. Which is the third biggest value? (a) i (b) 5 (c) -0.4 (d) -2 c Let k = 3/2 - 2. Let w = 8446 + -42234/5. Which is the third biggest value? (a) w (b) k (c) -4/7 a Let s = -21.6 + 7.1. Let y = s + 14.9. What is the biggest value in 2/53, y, 3? 3 Let x(k) = 64*k - 280. Let p be x(5). Let r = 93 - p. What is the biggest value in -0.1, 2/3, r? r Let z = -0.5574 + 0.3574. Suppose -2*b + 3*l + 2*l = 6, l = -2*b + 18. What is the biggest value in b, z, 2/25? b Let j = 0.2 + -1.2. Suppose -7*z - 240 = -12*z. Let f be z/(-45) + (18/(-30) - -1). Which is the second smallest value? (a) 0.1 (b) j (c) 2 (d) f d Let n(t) = 12*t - 533. Let h be n(43). Which is the fourth smallest value? (a) 5/2 (b) h (c) 4/9 (d) 13 (e) 0 a Let x = -11754.7 - -11755. What is the third biggest value in x, 1.57, -2/13? -2/13 Let r = 0.34422 + -0.14422. Which is the fourth biggest value? (a) r (b) 0.1 (c) -0.2 (d) -0.1 (e) 8 d Let w = 670 - 320. Let c = 370 - w. What is the second biggest value in -1, c, -0.4? -0.4 Let j be (-4)/(6/3)*16040/112. Let t = 287 + j. What is the second smallest value in t, 4, -0.3? t Let n(v) = 123*v - 979. Let k be n(8). Which is the fourth biggest value? (a) 1.1 (b) k (c) -0.1 (d) 2 c Suppose 0 = -4*k + u - 2*u + 2, 5*u = -k + 10. Suppose -9*j + 52 - 70 = k. Which is the f
{ "pile_set_name": "DM Mathematics" }
= 38 - 37. Differentiate 2 + 6*l**3 + 7*l**3 + r with respect to l. 39*l**2 Find the third derivative of 76804 - 372*x**2 - 76804 - 179*x**6 wrt x. -21480*x**3 Let y(s) be the first derivative of -s**6/3 + 163*s**4/4 + 201*s**2/2 + 49. Find the second derivative of y(p) wrt p. -40*p**3 + 978*p Differentiate -10*m + 10714*m**2 - 10716*m**2 + 450 + 123 with respect to m. -4*m - 10 Let j(i) = -i**2 + 10*i - 9. Let r be j(8). Find the second derivative of 9*z - r*z**5 - 4*z**5 + 4*z**5 wrt z. -140*z**3 Suppose 15 = 5*m - 0*m. Suppose 2*w + m*x + 3 = -5, -4*x - 6 = 5*w. Find the third derivative of -4*v**4 + w*v**4 - 4*v**4 + 2*v**2 + 4*v**4 wrt v. -48*v Differentiate 1080*c**3 - 105*c**4 + 1082*c**3 - 2162*c**3 - 18 + c with respect to c. -420*c**3 + 1 Let b = -35 - -40. Find the third derivative of 5*n**5 + n**2 + b*n**5 - 4*n**5 + 0*n**2 wrt n. 360*n**2 What is the second derivative of -176*q**4 + 9*q**4 - 154*q + 866*q + 34*q wrt q? -2004*q**2 Let x(g) be the first derivative of -g**5/60 + 3*g**4/8 + g**2/2 - 11. Let d(q) be the second derivative of x(q). What is the second derivative of d(z) wrt z? -2 Suppose u = 2*p - 4, u = -3*p + 5*u + 1. What is the third derivative of -11*b**4 + 50*b**2 - p*b**4 - 6*b**4 + 4*b**4 wrt b? -384*b Let d(j) = -137*j + 132. Let l(o) = 137*o - 133. Let t(u) = -2*d(u) - 3*l(u). What is the first derivative of t(v) wrt v? -137 Let f(n) be the first derivative of n**6/20 + n**4/2 + 2*n**2 + 7. Let b(w) be the second derivative of f(w). Find the second derivative of b(v) wrt v. 36*v Let s(o) be the third derivative of 29*o**8/168 - 37*o**4/24 + 35*o**2 - o. Find the second derivative of s(v) wrt v. 1160*v**3 Let v(b) be the third derivative of -23*b**6/30 - 7*b**5/4 + 13*b**2 - 2*b. Find the third derivative of v(j) wrt j. -552 Let o(d) = 2*d - 11. Let l be o(7). Suppose 0 = l*j - 2*j + 2*r + 8, -j + r = -7. Find the first derivative of 0 + j*s**2 + 6*s**2 + 2 wrt s. 16*s Suppose 3*j - 7*j + 8 = 0. Suppose 3*d - j*d = 2. What is the derivative of -3*m**4 - 1 + d + 2*m**4 + 5 wrt m? -4*m**3 Let s(r) = -145*r**3 - 2*r**2 - 8. Let g(u) = 217*u**3 + 4*u**2 + 13. Let y(m) = -5*g(m) - 8*s(m). What is the third derivative of y(c) wrt c? 450 Find the third derivative of -3 - 150*l**2 + 35*l**2 + 34*l**2 + 53*l**2 - 423*l**3 wrt l. -2538 Let s = 546 - 542. Let t(k) be the first derivative of -k - 11/3*k**3 + s + 0*k**2. Differentiate t(u) wrt u. -22*u Suppose 2*j = -j - 5*y + 24, -3*j + 2*y + 3 = 0. What is the derivative of j + 13*x + 19*x - 16*x wrt x? 16 Let x(b) = -237*b**3 + 4*b + 52. Let n(a) = -709*a**3 + 11*a + 157. Let p(z) = -4*n(z) + 11*x(z). Differentiate p(i) with respect to i. 687*i**2 Let k(m) be the first derivative of -m**6/90 + m**4/4 + 8*m**3/3 + 9. Let v(z) be the third derivative of k(z). What is the first derivative of v(g) wrt g? -8*g Suppose 0 = 5*c + 2*p - 93, 7*c - 47 = 4*c + p. Let o = -9 + c. What is the first derivative of o*k**4 + 8*k - 12 - 8*k + 0*k wrt k? 32*k**3 Let u(z) be the second derivative of -41*z**5/20 - 19*z**3/6 - 3*z**2/2 + 14*z - 6. Find the second derivative of u(o) wrt o. -246*o Let n(v) be the third derivative of -v**7/105 - 49*v**4/12 - 31*v**3/3 + 112*v**2. What is the derivative of n(u) wrt u? -8*u**3 - 98 Suppose d = 4*l + 2*d - 9, 0 = 4*l - d + 1. Suppose 2*q - 5 = l. Find the second derivative of -54*p**q + 54*p**3 + 2*p**5 - 3*p wrt p. 40*p**3 What is the third derivative of -36*d**3 - 18*d**3 - 8*d**3 - 446*d**2 + 396*d**2 wrt d? -372 Let m = -57 - -61. Let q(b) = -20*b + 6. Let k(n) = -20*n + 6. Let t(f) = m*q(f) - 3*k(f). What is the derivative of t(v) wrt v? -20 Let a(n) be the second derivative of -7*n**6/6 + n**3/3 + 65*n**2/2 - 26*n + 2. What is the derivative of a(j) wrt j? -140*j**3 + 2 Let c(m) = 2*m**2 - 4*m - 1. Let x be c(3). Let t be 2/x - 13/(-5). What is the first derivative of 4 + 0 - 4*y**4 - t + 0*y**4 wrt y? -16*y**3 Let z(p) = -382*p + 1244. Let n(h) = -574*h + 1865. Let m(t) = -5*n(t) + 7*z(t). What is the first derivative of m(l) wrt l? 196 Let x(m) be the second derivative of 0 + 0*m**2 - 17/12*m**4 - 9*m + 8/3*m**3. What is the second derivative of x(y) wrt y? -34 Let m(v) be the second derivative of 5/21*v**7 + 0*v**4 + 0 + 10*v + 7/3*v**3 + 0*v**2 + 0*v**5 + 0*v**6. Find the second derivative of m(w) wrt w. 200*w**3 Let t(z) = -15*z + 20. Let j(k) = 16*k - 19. Let w = 16 + -14. Let b(l) = w*j(l) + 3*t(l). Differentiate b(y) with respect to y. -13 Let y = 39 + -36. What is the third derivative of -3*l + 7*l**2 + y*l + 29*l**4 - 11*l**4 wrt l? 432*l Find the third derivative of 21*q**4 - 54*q**2 + 17*q - 33*q + 18*q wrt q. 504*q Let l(i) = 42*i**2 + 53*i - 7. Let a(s) = -42*s**2 - 53*s + 6. Let f(m) = 7*a(m) + 6*l(m). Find the second derivative of f(o) wrt o. -84 Find the third derivative of 2*u + 26*u**4 - 70*u**4 + 131*u**4 - 2*u**2 wrt u. 2088*u What is the third derivative of 133*v**2 - 26*v**2 + 516*v**5 + 120*v**2 wrt v? 30960*v**2 Let k(c) = -c**2 + 17*c - 36. Let a be k(13). Let g = 5 + -3. Find the third derivative of -6*d**4 + 11*d**2 + 8*d**g - a*d**2 wrt d. -144*d Let f(q) be the third derivative of q**7/105 - 8*q**6/15 - 31*q**4/12 - 20*q**2. Find the second derivative of f(z) wrt z. 24*z**2 - 384*z Suppose -4*f + 0*f - 12 = -2*b, 2*f - 26 = -b. What is the second derivative of 3963*a**2 - 3963*a**2 - b*a**4 - 28*a wrt a? -192*a**2 Let j be ((-1)/(12/8))/(2/(-6)). Find the third derivative of -3*r + 35*r**4 - 21*r**4 - 23*r**j + 3*r wrt r. 336*r Let v(t) be the first derivative of 2*t**6/5 - t**2 + 14*t + 10. Let l(w) be the first derivative of v(w). What is the first derivative of l(f) wrt f? 48*f**3 Let c(q) = q**4 - 2*q**3 + q + 1. Let z(j) = -10*j**4 - 4*j**3 + j + 148. Let v(o) = c(o) - z(o). Find the first derivative of v(p) wrt p. 44*p**3 + 6*p**2 Suppose -5*m - 3*g + 148 = 0, -2*m + 3*m + g - 28 = 0. Let w = -25 + m. What is the second derivative of 6*n**2 - 6*n + 5*n + w*n + 5*n wrt n? 12 Let j(b) = b**5 - b**3 - b**2 + b + 1. Let x(r) = 28*r**5 - 4*r**3 + 8*r**2 - 3*r + 3. Let f(u) = -3*j(u) + x(u). Find the third derivative of f(q) wrt q. 1500*q**2 - 6 Let q(x) = -61*x + 7. Let w(u) = 426*u - 51. Let m(a) = 15*q(a) + 2*w(a). Find the first derivative of m(l) wrt l. -63 Let b(o) be the first derivative of -287*o**5/5 + 23*o**2 - 89. What is the second derivative of b(w) wrt w? -3444*w**2 Let c(w) = 2*w**2 - 20*w + 3. Let n be c(13). Differentiate n*m**4 - 19*m**3 - 90*m**4 - 19 + 19*m**3 wrt m. -36*m**3 What is the derivative of 503 + 204 - 640*i + 237 + 69 - 140 wrt i? -640 Let p(b) be the second derivative of b**9/168 - b**6/18 - 17*b**3/6 - 4*b. Let v(x) be the second derivative of p(x). Find the third derivative of v(r) wrt r. 1080*r**2 Let z(w) be the first derivative of 23*w**7/7 - 5*w**3 + 26. Find the third derivative of z(p) wrt p. 2760*p**3 Let r(o) = -o**2 - 13*o - 7. Let g be r(-8). Find the third derivative of 43*p**2 - g*p**2 - 23*p**2 - 5*p**6 wrt p. -600*p**3 Let o be (-135)/18*(-56)/35. Let w(k) be the second derivative of 0*k**2 + 0 + 0*k**3 - 3/20*k**5 - k**4 - o*k. Find the third derivative of w(t) wrt t. -18 Let s(z) = -40*z**4 + 5*z**3 + 5*z - 5. Let g(u) = 19*u**4 - 2*u**3 - 2*u + 3. Let f(r) = 5*g(r) + 2*s(r). What is the first derivative of f(b) wrt b? 60*b**3 Let a(r) be the first derivative of 13*r - 29/2*r**2 - 6. Differentiate a(x) with respect to x. -29 What is the first derivative of 174 - 7 + 24*x**3 + 1690*x**4 - 1689*x**4 wrt x? 4*x**3 + 72*x**2 Suppose -18 = -3*a - 3*w, -3*a + 0*a = w - 14. Suppose -2*h - 4*f + 7 = -h, 4*f = a. What is the third derivative of -8*z**2 - h*z**6 + 13*z**6 + z**2 wrt z? 1200*z**3 Let k(i) be the first derivative of i**8/140 - 7*i**4/12 + i**3 + 10. Let w(h) be the third derivative of k(h). Find the first derivative of w(r) wrt r. 48*r**3 Suppose 0 = 75*k - 73*k - 4. Differentiate -1 - 26*t**2 - 8 - 2 + 4*t**k wrt t. -44*t Suppose 3 = -2*y + 5*t + 18, 44 = 4*y + 4*t. Differentiate -3*d**3 + 32*d**3 + 4 + 3 + y wrt d. 87*d**2 Let c(i) = 3*i - 9. Let o be c(4). Find the second derivative of 11*l - 11*l**3 - 5*l - o*l wrt l. -66*l Let j be 0 - 0 - 0 - 26/(-13). Let l(q) be the first derivative of 2 + 2*q + 5/3*q**3 + 0*q**j. Find the first derivative of l(c
{ "pile_set_name": "DM Mathematics" }
st value in 1/10, -1/4, 2, -9, 0.4? 1/10 Which is the fourth smallest value? (a) 5 (b) 0.5 (c) -1 (d) 0.4 (e) -89/2 b What is the fourth smallest value in -3, -3/4, 5.4, -2/5? 5.4 Which is the second smallest value? (a) 2 (b) 3 (c) -17 a What is the second biggest value in 0.05, 37, 1/9? 1/9 Which is the smallest value? (a) 2/15 (b) 8 (c) 3 a Which is the third smallest value? (a) -247 (b) 2 (c) -0.1 b Which is the fourth smallest value? (a) -2/3 (b) 52 (c) -1/3 (d) 4 (e) -1/5 d What is the second smallest value in 3/2, -87, 1/10, 1/3, 2/11? 1/10 Which is the biggest value? (a) 5 (b) -1/21 (c) -1.3 (d) 0.1 a Which is the third smallest value? (a) -5 (b) -2 (c) 0.056 (d) -3/10 (e) -3 b Which is the biggest value? (a) 44 (b) 2/5 (c) 2 (d) -8 a What is the fourth smallest value in -7, 3/7, -2/39, -6? 3/7 What is the fifth biggest value in -0.3, -4, 4, 1/2, 2/7? -4 Which is the third biggest value? (a) -2 (b) -1/5 (c) -6 (d) 4 a What is the smallest value in 2/5, -5, -1/4? -5 What is the biggest value in -6, 3/4, -0.02? 3/4 What is the fourth smallest value in 2, -3, -0.2, 4, 5/2? 5/2 What is the second smallest value in -1, -0.03, 2/13? -0.03 What is the smallest value in -15, -1, -2, 0.2? -15 Which is the smallest value? (a) 1 (b) -2 (c) 1/5 (d) -18691 (e) 0.1 d Which is the third biggest value? (a) -25 (b) 0.2 (c) -11/6 (d) -0.2 c Which is the third smallest value? (a) 6 (b) 0 (c) 0.4 (d) -5/3 c What is the second smallest value in 3075, 2, 3? 3 What is the smallest value in 1, -0.5, 300, 3? -0.5 Which is the fourth biggest value? (a) 45 (b) 0.1 (c) -5 (d) 3/5 c Which is the third smallest value? (a) -3 (b) -2/27 (c) -0.2 b Which is the second smallest value? (a) 1/3 (b) -2/13 (c) -18 (d) 5/2 b Which is the second smallest value? (a) 3/4 (b) 6302 (c) -3/7 a What is the smallest value in 0.2, -0.443, -1? -1 Which is the third smallest value? (a) -1/3 (b) -0.4 (c) 4 (d) -7 a Which is the second biggest value? (a) -3 (b) 2 (c) 43 (d) 4 d What is the biggest value in -3, 33/4, 3? 33/4 What is the second smallest value in 3, -3, -1244/3? -3 Which is the second smallest value? (a) -1/2 (b) -0.4 (c) -1/6 b What is the second biggest value in -154, 1/3, 0.06? 0.06 Which is the fifth smallest value? (a) -2/3 (b) 0.08 (c) 15 (d) -4 (e) -2/9 c What is the third smallest value in -1/4, -1.4, -0.7, -2, -0.5? -0.7 What is the smallest value in 1.88, 5, 2/7? 2/7 Which is the fourth biggest value? (a) -516 (b) -0.7 (c) 4 (d) 1/3 a Which is the second smallest value? (a) 0.0717 (b) 0.1 (c) -0.2 a What is the third smallest value in 4, -2, -0.5, -2/1825, 0.3? -2/1825 Which is the third biggest value? (a) -0.2 (b) -295 (c) -5/3 b What is the second smallest value in 810, 2/13, -0.4? 2/13 What is the smallest value in 1/54, -12, -1, -5? -12 Which is the second biggest value? (a) -30.48 (b) -2/3 (c) 0.2 (d) -3/7 d What is the second smallest value in -0.12, 43, -12/7? -0.12 What is the second biggest value in 0, -68, -0.1? -0.1 Which is the second biggest value? (a) 0 (b) 2/3 (c) 7 (d) 4/3 d What is the biggest value in -2/19, -0.2, -1, 12? 12 What is the third biggest value in -5, 3/11, -1, -0.5? -1 What is the biggest value in -0.26, -0.1, -5? -0.1 What is the fourth biggest value in -4, 825, 4, -2/17? -4 What is the smallest value in 2/3, -14, 5/6? -14 What is the third biggest value in 3, 2.37, 4, -2? 2.37 Which is the third smallest value? (a) -9/7 (b) 0 (c) -14 (d) 3 b What is the second biggest value in -0.129, -2, 4? -0.129 What is the second biggest value in 0.1, 1, -5? 0.1 Which is the second biggest value? (a) -0.2 (b) -4 (c) -151 (d) -0.1 a What is the fourth biggest value in 0.3, -0.29, 0.5, 48? -0.29 What is the fifth biggest value in 1, -5, -3/5, -9, 1.5? -9 Which is the second biggest value? (a) -43 (b) 3 (c) -2 (d) 4 b Which is the third smallest value? (a) -18 (b) 0.5 (c) -1 (d) 3 (e) 1 b Which is the third biggest value? (a) 2.1 (b) -9/4 (c) 0.2 b What is the second smallest value in 0.01, -5, -2/7, -2/5? -2/5 Which is the fourth smallest value? (a) 0.5 (b) 1/3 (c) 25 (d) 1 c Which is the second biggest value? (a) 0.4 (b) -5 (c) -3 c Which is the third biggest value? (a) -2 (b) -5 (c) -2/5 (d) -0.3 a Which is the third biggest value? (a) 21 (b) -2/9 (c) -29 c Which is the fourth smallest value? (a) -976.9 (b) 1/2 (c) 2/13 (d) 2/9 b Which is the third biggest value? (a) -5 (b) 0.096 (c) -10 (d) 1/4 a What is the second smallest value in -1, -3, 2/13? -1 What is the second biggest value in -4, 5, -101, 3/8? 3/8 Which is the biggest value? (a) -0.5 (b) -11 (c) 5 (d) -0.9 c What is the third biggest value in 0.2, 2/17, 4, -0.26? 2/17 Which is the third smallest value? (a) 0.1 (b) -135/8 (c) -4/3 (d) 0.5 a What is the fourth smallest value in 1/6, 7, -2, 0.2? 7 Which is the third smallest value? (a) -0.1 (b) 5 (c) -54 (d) 0 d What is the smallest value in -81, 4, 1/9? -81 Which is the second smallest value? (a) -0.88 (b) 1/4 (c) -7 a What is the second biggest value in -0.01, 4, -9, -0.5? -0.01 Which is the biggest value? (a) -2 (b) 3 (c) -5 (d) -2/155 b What is the third biggest value in 2, 290, -2? -2 What is the third biggest value in -1/4, 35/9, -4/7, -0.4? -0.4 Which is the biggest value? (a) 4 (b) -5 (c) -66 a Which is the second smallest value? (a) -1 (b) 0.3 (c) -2/11 c Which is the second biggest value? (a) -0.4 (b) 1/1932 (c) 3/5 b Which is the biggest value? (a) -0.5 (b) 16/3 (c) -1/5 (d) -1/7 b Which is the third smallest value? (a) 0 (b) 2 (c) -0.5 (d) -2 a Which is the fourth smallest value? (a) -1 (b) 2 (c) -2/5 (d) 0.4 (e) -16 d What is the biggest value in 0.4, 0.2, -5, -29/5? 0.4 What is the fifth smallest value in 5, 0.2, 4, -6853, -0.3? 5 Which is the second biggest value? (a) -1/4 (b) -0.2 (c) -2/3 (d) -7 a Which is the smallest value? (a) 2/3 (b) 0.6 (c) 172 b What is the second smallest value in -0.5, 1/4, -3, -3/2? -3/2 What is the second smallest value in 0.04, -3, 3, -1/4? -1/4 Which is the biggest value? (a) -0.2 (b) 11 (c) 4 (d) -0.08 b Which is the second biggest value? (a) 4/11 (b) 2 (c) 2/9 (d) 0.1 a Which is the fourth biggest value? (a) 0.14 (b) -3 (c) 1.2 (d) -2 b What is the third smallest value in 66, -3, 2? 66 What is the second smallest value in 27, -10, 3/7? 3/7 What is the fifth smallest value in -0.5, -0.3, 0, -1/7, 8? 8 Which is the smallest value? (a) -2/19 (b) -15 (c) -0.4 (d) 2 b Which is the biggest value? (a) 4 (b) -9/2 (c) -4 a Which is the second biggest value? (a) -69 (b) 3 (c) 6/7 c Which is the second biggest value? (a) 1/2 (b) -3 (c) -1/6 c What is the second smallest value in 5/3, 66, 0.2? 5/3 What is the third smallest value in 3/14, 1, -3/4, 4, -0.5? 3/14 Which is the second smallest value? (a) -4 (b) -0.2 (c) 97 (d) -0.5 d What is the second smallest value in 1, 20, -3? 1 What is the second biggest value in 2, 3204, 4? 4 Which is the smallest value? (a) -1 (b) 0.3 (c) -4 (d) 4/5 c What is the second biggest value in -1, 12, -6? -1 What is the smallest value in -3, -96, -7/4? -96 What is the second smallest value in 1/20, 0.3, 3/4? 0.3 Which is the third biggest value? (a) 0.4 (b) 1/5 (c) -6 (d) 2/9 (e) -0.3 b Which is the smallest value? (a) -2 (b) -0.032 (c) 1/7 a Which is the second smallest value? (a) -0.01 (b) 0.4 (c) 1/7 (d) -3/7 a Which is the second biggest value? (a) -257 (b) -4 (c) 3 (d) -2/9 d Which is the second smallest value? (a) 3 (b) 2/3 (c) 2/123 b What is the third biggest value in 33, 2/5, 1/8? 1/8 Which is the second biggest value? (a) -1/3 (b) -0.008 (c) 5 b Which is the smallest value? (a) -155 (b) -4 (c) 3 a Which is the second smallest value? (a) 2 (b) 0 (c) -2/31 (d) -1 c What is the fifth biggest value in 123, 3, -0.09, 3/2, -3/5? -3/5 Which is the biggest value? (a) 5 (b) -1/79 (c) 10 c Which is the fourth biggest value? (a) -2 (b) 2/17 (c) 0.2 (d) -2/11 a Which is the fifth biggest value? (a) 13 (b) -23 (c) -5 (d) 1/2 (e) -2/15 b Which is the second biggest value? (a) 0.06 (b) -15 (c) 1 a Which is the sec
{ "pile_set_name": "DM Mathematics" }
ominator of l and 16. 6 Let p = 50 + -30. Let i = 220 + -221. Calculate the smallest common multiple of p and 20 + (-6 - ((3 - 4) + i)). 80 Suppose 104 = 4*m + 96. Let p(c) = 2*c**3 - 2*c**2 - 4*c + 4. Calculate the least common multiple of 32 and p(m). 32 Let a(y) = -y**2 + 15*y - 22. Let x(z) = z + 1. Let c(r) = a(r) - 4*x(r). Calculate the lowest common multiple of c(7) and 20. 20 Let a be (2520/(-52))/(-3) + 4/(-26). Suppose 10*y - 2*y = a. Calculate the smallest common multiple of y and 5. 10 Suppose 7 = 5*i - 18. Suppose f - 5*f = 5*y - 30, -25 = -5*y - i*f. Calculate the least common multiple of y and 6. 30 Suppose 4*z = 4*w + 4, -2 + 18 = -2*z - 4*w. Let c be (1 + -2)/(z/332). Calculate the common denominator of (-6)/66*c/(-4) and 43/18. 198 Let s(r) = 1. Let y(m) = -m + 1. Let x(g) = -6*s(g) + 7*y(g). Let k be 2/24 - 689/636. What is the smallest common multiple of 1 and x(k)? 8 Let b = -1/34139069 - 804418882627/7510595180. Let n = b + 542/5. What is the common denominator of -81/4 and n? 44 Suppose 0 = -4*d + d - 9. Let x be (d/(-10))/((-12735)/(-12)). Let y = -841913/42450 - x. What is the common denominator of y and -47/18? 18 Let a = 89 - 77. What is the smallest common multiple of a and 8? 24 Calculate the common denominator of 4 + (-4)/14 + 4/(-21) and -39/14. 42 Let u = 20 - 35. Calculate the common denominator of -2 + ((-2)/u - 143/10) and 15/31. 186 Calculate the common denominator of ((-231)/(-918) + (-14)/63)*-58 and -18. 17 Suppose -5*f = -2*f. Suppose j - 3*o = -11, f = -2*j - 2*o - o + 14. What is the least common multiple of ((-33)/44)/(j/(-8)) and 2? 6 Let v = -1408/3 - -57512/123. Let c = -2401/410 - v. Calculate the common denominator of c and -53/56. 280 Let f be -4 - (126 - -5) - -2. Calculate the common denominator of -1/16 and f/(-308) + (-20)/8. 176 Find the common denominator of -79/2 and (1/((-6)/(-68)))/((-26988)/234). 346 Let i = 21 - -12. Let o(r) = r**2 + 2*r + 2. What is the smallest common multiple of o(-2) and 374/i - 4/(-6)? 12 Suppose 2*r = 29 - 9. Let v(d) be the third derivative of d**5/60 - 3*d**4/8 - 11*d**2. Calculate the smallest common multiple of v(11) and r. 110 Let c be (146/(-2))/((-8)/(-16)). Find the common denominator of (-41)/(-20) + (-6)/(-2) and c/24 + 3/9. 20 Let f be 2 + 1/(-1 + 0). Let q be (-40*f)/(1 + 0). Calculate the common denominator of 3/q*(-82)/(-6) and -75/14. 280 Let b be 4*(0 + -2)/2. Let i(s) = 2*s**2 + 4*s - 2. Let w(q) = -2*q + 10. Calculate the lowest common multiple of i(b) and w(-5). 140 Calculate the common denominator of (-2)/((-4)/10) + 7843/(-744) and 67/5*2/6. 120 Calculate the common denominator of -2*44/12*9/24 and (42/360)/(2/(-42)). 20 Let n(q) = q**3 + 11*q**2 - 12*q + 4. Let s be n(-12). Suppose 0 = -s*o - 0 + 8. Calculate the lowest common multiple of 11 and o. 22 What is the common denominator of ((-52)/105)/((2565/75)/(-19)) and -22/147? 1323 Let d = -2/48263 + -275371/289578. Find the common denominator of -32/119 and d. 714 Suppose -2*w = -0*w - 12. What is the least common multiple of w and (-3)/(3/(-5))*(-26)/(-65)? 6 Let p be ((-6)/18148)/((60/(-4604))/(-5)). Let i = p - -4/349. Calculate the common denominator of i and -89/6. 78 Let z = -8059 - -1635986/203. Calculate the common denominator of z and 79/232. 1624 Let q = -1 + 71. Calculate the least common multiple of 5 and (4 - -1)*84/q. 30 Suppose d + w = 16, -d - 4*d + 3*w + 40 = 0. Suppose -5*p - 2*y = -4*p + 1, -3*p - 5*y = 4. Let z = p + d. Calculate the common denominator of -56/9 and z. 9 Let a(x) = -4*x**2 - 177*x - 42. Suppose -3*b + 0*b + 3 = 0. Calculate the least common multiple of b + 1 + 9 + -2 and a(-44). 18 Let n(a) = -a**3 - 4*a**2 - 6*a - 7. Let g(l) = 3*l**2 + 9*l + 7. What is the lowest common multiple of g(-3) and n(-3)? 14 Suppose 16*h - 10*h + 48 = 0. Let f(x) = x**3 + 8*x**2 - 4*x. What is the lowest common multiple of f(h) and 10? 160 Let g(z) = -z**3 - z**2 - 5*z - 3. Let x be g(-3). Let f be 64/x + 6/(-45). What is the common denominator of 143/20 - f/8 and -89/6? 30 Find the common denominator of (-215)/(-20)*16/(-42) and -103/78. 546 Let y = 293 + -283. Calculate the smallest common multiple of y and 257. 2570 Suppose 0 = 2*f + f. Suppose 3*g = -f*g - 2*y + 50, -4*y = 20. Suppose 3*x - 40 - g = 0. Calculate the least common multiple of 18 and x. 180 Let a be -2*(-3)/(-2) + 1. Calculate the common denominator of 17/(-2) - a*(-6)/(-4) and -87/8. 8 Suppose 3*h + 0*u - 26 = -5*u, -u = -4*h + 50. Let o be -13 - (-12)/(h/3). Let n = 20 + o. Calculate the lowest common multiple of 1 and n. 10 Let w be 40/6*18/12. Suppose -14*y = -13*y + w. Let c = y + 34. What is the smallest common multiple of 12 and c? 24 Find the common denominator of -17/30 and 1*5 - (5 - (-1027)/(-1170)). 90 Let j(h) = h**3 - 4*h**2 - 3*h - 4. Let u(f) = -2*f**2 - 20*f - 5. Calculate the smallest common multiple of j(5) and u(-2). 54 Suppose -71*p + 75*p - 4*f = 272, 0 = -3*p + 5*f + 212. Calculate the lowest common multiple of 192 and p. 192 Let o = -60 + 68. Calculate the lowest common multiple of 4 and o. 8 Suppose j = 2*u + 20, -u = 2*j + j - 53. Suppose d + j = 46. What is the smallest common multiple of d and 22? 308 Let m be 4 + -6 + (2 - -3). Suppose -3 = -m*c + 63. What is the common denominator of (-368)/c*5/(-20) and -50/9? 99 Find the common denominator of 143/204 and 6 + -87*9/36. 204 What is the common denominator of -17/112 and (98/(-40))/(0 - (-9)/(-5))? 1008 Let t = 269 - 142. Suppose 0 = -6*n + 119 + t. Calculate the lowest common multiple of 6 and n. 246 Let x = -2 + -18. Let n = 13 + 7. Find the common denominator of -17/8 and 69/x - 5/n. 40 Let q = -3/5189 - -493339/664192. Find the common denominator of 53/128 and q. 128 Let i = -6664 + 120023/18. What is the common denominator of -45/74 and i? 666 Let q = 12457/295 + -214/59. Let v = 1993/55 - q. What is the common denominator of v and (-2)/(-4) - (195/(-18) + 4)? 33 Suppose -4*u + g = 12, 3*u = 5*u + 5*g + 28. Find the common denominator of (-16)/(-4) - 106/u and -85/2. 2 Let v(m) = -2*m**3 + 13*m**2 + 6*m + 12. What is the smallest common multiple of 2 and v(7)? 10 Suppose l = -w - 2*l - 29, w + 4*l = -34. Let f(y) = -1. Let u(h) = h + 20. Let a(q) = 2*f(q) + u(q). Calculate the least common multiple of a(w) and 8. 8 Calculate the least common multiple of -2 + 34 - (-10 + 6) and 3. 36 Let c = 9 - 5. Let u(t) = -t - 1. Let j(l) = l**3 + 7*l**2 - 3. Let b(v) = j(v) - 5*u(v). Calculate the lowest common multiple of b(-6) and c. 8 Let l = -873/250 - 1/125. Let v = 18841/151 - 24699167/189354. Let i = -56/57 - v. Calculate the common denominator of i and l. 22 Let k = 61/77 + -26/11. Let d be -1 + (-1328)/(-2 - -4). What is the common denominator of 5 + -1 - d/(-126) and k? 126 Let j = 5455/39 - 430/3. Let q = 1193 - 7199/6. Calculate the common denominator of q and j. 78 Let n = -2/7421 - -252328/51947. Let z = -11/21 + n. What is the common denominator of 19/51 and z? 51 What is the common denominator of 34/33 and (-50)/42*48/30? 231 What is the common denominator of -23/12 and (-2)/(-5) - (-532)/(-1080)? 108 Let f = 97/205 + -3/41. Calculate the common denominator of 30/161 and f. 805 Let n = 14387/34 - 330415/136. Let r = n + 2017. Find the common denominator of r and 6/(-10)*(-208)/(-12). 40 Suppose -f + 12 + 608 = 0. Suppose 5*v + f = 160. Find the common denominator of 85/6 and (22/v)/(4/(-24)). 138 Suppose 0*l + 2*l - 5*g = -9, 3*g = 2*l + 3. Suppose -l*u - 5*c - 1 = 0, u = 2*c - 5 + 1. Let h = u + 24. What is the smallest common multiple of h and 20? 220 Let t = 17 - 15. Let k be (2/4)/(t/20). Suppose -2*b + 11 = -k. What is the smallest common multiple of 4 and b? 8 Suppose 3*m + 25 + 14 = 0. Let p be (m/(-2) - 1)*4. What is the common denominator of 3 - 1/(p/148) and -59/4? 44 Let d be 15906/(-7974) + 2/1. Let s = d - 22007/886. What is the common denominator of 89/6 and s? 6 Let z be 3/9*1*507. What is the common denominator of (-474)/40 + 3/(-4) and (-4)/16 - z/4? 10 Suppose 7*k - 84 = 301. Let t = k - 41. What is the least common multiple of 48 and t? 336 Let f = -2/114935 + 17125471/8964930. What is the common denominator of -101/182 and f? 546 Let t be -17*2*((-60)/(-16) + -5). Let u = 783/20 - t. Let g = -1140
{ "pile_set_name": "DM Mathematics" }
0 = -8*u + 11596 - 3324. Suppose -618 = 3*d - 2*t, 4*t + u = -5*d + 6*t. Let b = -18 - d. Does 19 divide b? True Let c(s) = -2*s**3 + 6*s**2 + 3*s + 5. Let a be c(4). Let q(p) = -24*p - 50. Does 31 divide q(a)? True Let r be (-1 - -5) + (-6 - (5 - 372)). Suppose -8*m + 10*m - 3*a - 141 = 0, 5*m + 5*a - r = 0. Is m a multiple of 6? True Let u be (-464)/(-6) - (16/12 + -1). Let w = u - 25. Suppose r + 5*k = k + w, 0 = -3*r + 2*k + 128. Is r a multiple of 18? False Let s = 80 + -77. Suppose -u - o = -54, -4*o - 3 = -s*u + 138. Is u a multiple of 8? False Suppose -11*j + 18 = -2*j. Suppose 7 = j*o - 0*r + r, 12 = 3*o + 3*r. Suppose -5*n + 82 = d, o*d - 107 = -5*n + 159. Is d a multiple of 18? False Suppose 4*z - 142 = -3*h + 1090, 0 = -5*h - 5*z + 2050. Does 3 divide h? True Let q(h) = h**3 + 17*h**2 + 9*h + 165. Is 150 a factor of q(15)? True Suppose 2*f + 0*u + u + 8 = 0, f - 7 = 5*u. Let o(g) = 8*g + 46. Let l be o(-6). Is l + 20 + f + 6 a multiple of 3? True Suppose -49023 + 144027 = 28*b. Is 23 a factor of b? False Let n = 224 + 760. Is n a multiple of 82? True Let g(u) be the second derivative of 25*u**4/12 + u**3/2 + 3*u**2/2 + 8*u + 5. Does 68 divide g(-2)? False Suppose -3144*j - 95 = -3139*j. Let v(r) be the first derivative of -r**3/3 - 21*r**2/2 + 14*r + 3. Does 26 divide v(j)? True Suppose -3*h + 310 = 7*h. Suppose -4*c - 154 = -3*o, -h - 21 = -o + 2*c. Is 10 a factor of o? True Let w(o) = -5*o**2 + 23*o - 17. Let f be w(8). Let a = 241 + f. Does 11 divide a? True Let n(s) = -49*s**2 + 1. Let j be n(-1). Let y = 32 + j. Let f = y + 133. Is 16 a factor of f? False Let k be -4 + 9 + (-1 - 4). Suppose -4*m - 3*u + 272 = 0, -u + 240 = 3*m + 36. Suppose 4*o = -k*o + m. Does 2 divide o? False Let n = 19742 + -6198. Is 60 a factor of n? False Let q(r) = 2*r**2 - 15*r - 13. Let l(t) = -37 + 14*t - 16*t + 14*t. Let h be l(4). Does 8 divide q(h)? True Suppose w - 225 = -2*u, -4*w + 624 = 4*u - 252. Does 2 divide w? False Let d be (-5 - (-5)/3)*-36. Let a = d - 107. Is a a multiple of 2? False Suppose 388 = -4*j + 4*r, 3*j - r = 7*j + 398. Let a = j - -128. Does 5 divide a? False Let g = -14168 + 15706. Is g a multiple of 2? True Let u = -6616 - -7100. Is 10 a factor of u? False Let d(m) = -m**2 + 8*m - 11. Let w be d(2). Let h be w + -3 - -5 - (13 + -1). Let j(t) = 2*t**2 + 7*t - 5. Is 7 a factor of j(h)? False Let o(z) = 3*z**2 + 29*z - 5. Suppose 4*p + 55 = -5*w, 2*p + 22 = -5*w - 13. Let j be o(p). Suppose -8*m + j*t = -5*m - 250, -80 = -m + t. Is 4 a factor of m? False Suppose 3*b + 3*b = 24. Let m(j) = -b - 243*j - j**2 + 0*j**2 + 234*j. Is 2 a factor of m(-7)? True Suppose 0*t - 48 = 18*t + 6*t. Let q(p) = -206*p - 13. Let y(f) = 103*f + 7. Let n(z) = -3*q(z) - 7*y(z). Is n(t) a multiple of 10? False Is 12/(-27) - 42929488/(-1764) a multiple of 156? True Let g = -4855 + 8713. Is g a multiple of 37? False Let p = -393 + 692. Let a = 329 - p. Does 10 divide a? True Let j be ((-3)/2)/((-141)/470). Let t(c) = -12*c**2 + 83*c + 6. Does 3 divide t(j)? False Let i(y) = 3*y**3 - 38*y**2 + 8*y - 223. Is i(19) a multiple of 53? False Let u(f) = f**3 - 8*f**2 - 37*f + 256. Let l be u(9). Suppose 2 = 2*b + 2*o, 5*o = -2*b + 7*b - 5. Does 13 divide ((-78)/(-24))/(1/l*b)? True Let d(q) = -q**3 - 14*q**2 - 58 + 105 - 71 - 12*q. Does 48 divide d(-14)? True Let c(z) = 2*z**2 - 2*z + 9. Let u(k) = -k**2 + k - 2. Let p(w) = -c(w) - 4*u(w). Does 2 divide p(-2)? False Let f = 117619 + -82287. Is f a multiple of 14? False Let z(k) = k**3 + 6*k**2 - 2*k - 12. Let c be z(-5). Suppose -g - 22 + c = 0. Suppose -3*m - 13 = -g, -2*m = -4*n + 152. Is 8 a factor of n? False Let r(x) = -36*x - 73. Let h be r(-3). Suppose 0 = 8*w - h - 949. Is 3 a factor of w? True Suppose 2*o + 301 = 311. Suppose 73 = o*v + 4*x - 211, 0 = -v + x + 55. Is v a multiple of 40? False Let x = 18 - -26. Let l(k) = 2*k**2 + k - 259. Let q be l(-11). Let j = x - q. Is j a multiple of 23? False Let o(j) = -8*j - 127. Let t(y) = 7*y + 128. Let c(s) = -6*o(s) - 5*t(s). Does 41 divide c(19)? True Let n(i) = -i**3 + 38*i**2 - 95*i + 221. Is 11 a factor of n(26)? True Let s = -122 + 123. Let l(c) = -7 - 4*c + 6*c - 4 + s + c**2. Is 38 a factor of l(-8)? True Suppose 5*u + 5 - 25 = 0. Suppose 13*l - 396 = u*l. Let y = l - -17. Is y a multiple of 9? False Suppose 2*t - 2124 = 1468. Suppose 3*y - 505 - t = 0. Is y a multiple of 8? False Suppose -382 - 1158 = 20*k. Is 75 a factor of 1/(1 + 10) + (-11543)/k? True Let a = 15951 + -11688. Is a a multiple of 25? False Let i be 28/63 + (-129136)/(-72). Suppose 531*h - 525*h = i. Does 13 divide h? True Suppose -76*q - 3108 = -88*q. Let r = 332 - q. Does 14 divide r? False Let g(v) = -8*v + 24. Let q be g(-6). Suppose -2*b = -5*a - 929, 0 = -b - 0*a + 2*a + 466. Suppose 10*x + q - b = 0. Does 12 divide x? False Suppose -4*u - 5*a - 157 = 146, 353 = -4*u + 5*a. Let z = -59 - u. Suppose 22 + 36 = 3*j - 2*b, -j = 3*b - z. Is 10 a factor of j? True Let s be 8/(-16) + (-8540)/(-8). Let j = s + -392. Is j a multiple of 45? True Let q = 695 + -223. Does 24 divide q? False Let l = 289 - 298. Is 3804/32 + l/(-72) a multiple of 21? False Let l = 51 - 74. Is 17 a factor of (l - -218)/(1 + 2 + -2)? False Let z(r) = -r - 1. Let o be z(-3). Let g be 6/((-1)/o - (-2 - 0)). Suppose -f = g*m - 244, 111 = 2*f + 3*m - 357. Is f a multiple of 43? False Suppose -z = 5*j - 19, -4*j - 3 = -15. Suppose 3*l - 461 = z*v, 2*v + 5*l + 77 = -160. Let w = v + 212. Does 8 divide w? True Suppose 22*i - 16*i - 984 = 0. Let l = -71 + i. Is l a multiple of 20? False Let r(n) = -5*n**3 - 169*n**2 - 38*n - 69. Does 21 divide r(-34)? False Let l = -29 - 18. Let h be 0 - 0 - (2 - l). Let j = h + 69. Does 10 divide j? True Suppose -9 = -2*b + 3*k, k + 4*k + 30 = 5*b. Let m(v) = 4*v + b*v - 13 - 19*v - 11. Is 13 a factor of m(-8)? False Suppose 0 = 5*n + 15, 3*x - n - 816 = n. Is x a multiple of 15? True Let f(h) = -h**2 + 45*h + 328. Let j(z) = 7*z - 63. Let c be j(9). Is 49 a factor of f(c)? False Suppose 5*a - 719 = 4*x + 1185, 2*x - 1898 = -5*a. Let p be (-3)/18 - a/24. Let n = 22 + p. Does 4 divide n? False Suppose 13*j - 3970 = 8*j + 5*k, 3*k + 3174 = 4*j. Suppose 7*q - j = -4*q. Is q a multiple of 8? True Suppose 19*v - 6*v = -3081. Let f = 70 + v. Let c = 247 + f. Does 8 divide c? True Suppose -6*j - 5*t = -j - 45, 0 = 5*j + 3*t - 37. Suppose -14 = 3*l - 5, -j*l = i - 147. Does 9 divide i? True Let i be 1/(1 + (-308)/304). Let u = i - -560. Is u a multiple of 44? True Let b = -22 - -20. Let r(p) = 13*p + 9. Let k(j) = -2*j + 3. Let u(x) = 5*k(x) - r(x). Is 7 a factor of u(b)? False Let y be 3/(-6)*2 - -3. Let n = -25 + 30. Suppose 5*c - 59 = y*c - 2*l, 0 = n*c + 2*l - 97. Is 19 a factor of c? True Let k(a) = -3322*a + 792. Is k(-4) a multiple of 110? True Let q be (-5720)/(-50) + (-2 - (-26)/10). Suppose 20 + 95 = 3*d + 4*x, -5*d - 5*x = -185. Suppose d*b + q = 38*b. Is 23 a factor of b? True Let w = -194 - -196. Suppose n = -5, w*y + n - 586 = -173. Is y a multiple of 19? True Let o(x) = 1841*x**3 - 19*x**2 + x - 3. Is o(1) a multiple of 13? True Suppose 0 = -f + 9 + 45. Let q be 2/7 + 1 + 25/35. Suppose 0 = -4*h - q*h + f. Does 2 divide h? False Suppose 0 = 5*m - 0*h + h + 101, -5*m = -3*h + 117. Let f be (-8)/(-6)*(m/(-6) - 2). Suppose 0*d + f*d = 70. Is 14 a factor of d? False Let f(q) = 5 + 5 + q**3 - 5 + 5*q**2 - 10*q. Is 5 a factor of f(4)? False Let o(q) = -2 - 10*q + 0 - 2 + 2. Let i = -137 + 126. Is 10 a factor of o(i)? False Let d be (-10)/(-35) + 13/14*74. Let t = 201 - d. Let b = t + -18. Is 15 a factor of b? False Suppose 1198 = 7*x - 27. Is 63 a factor of 490/x*(-3)/(-2)*60? True Let h(o) = -o + 21 - 53 + 29. Let t be h(-9). Suppose 0*b - t = 3*b, 3*b = -4*w + 162. Is w a multiple of 14? True Suppose -11*f + 8*f + 4*i + 4141 = 0, -2774 = -2*f - 4*i. Does 4 divide f? False Let t = 92 - 87. Suppose -t*j = -2*j - 2091. Does 41 divide j? True Let o(i) = -7*i - 197. Let w be o(-18). Let j = w + 91. Does 19 divide j? False Suppose 681912 = 664*z - 631*z. Is 6 a factor of z? True Let z(x) = -x + 168. Let a be z(20). Suppose 3*m - 268 = -4*y, a = 2*m - 3*y - 2*y. Is m a multiple of 64? False Suppose 0 = -4*c - 3*l + 6 + 475, 4*l = -5*c + 601. Let i = c + 51. Is i a multiple of 9?
{ "pile_set_name": "DM Mathematics" }
g order. r, -2/9, a Let z be -2 - (0 - -1)/(3/(-12)). Put 5, z, -1, -25 in increasing order. -25, -1, z, 5 Let i = -271/7 + 39. Put -3, i, -4 in descending order. i, -3, -4 Let d = 9 + 3. Let a be 2/6 - 19/d. Let s = 63.8 - 61.8. Put a, 0, s in decreasing order. s, 0, a Let w = 2 - 7. Sort w, -6.6, -0.1, -0.4 in decreasing order. -0.1, -0.4, w, -6.6 Let s be 150/2 - 30/10. Sort 3, 1, s in increasing order. 1, 3, s Let v = -541 + 544. Sort -8, -3, 2, v in decreasing order. v, 2, -3, -8 Let z = -166 + 163. Put 0.19, z, 1/4 in ascending order. z, 0.19, 1/4 Let f(v) = v**3 + 11*v**2 + 5*v + 13. Let p be f(-8). Let j = p - 160. Put j, -12, -1, 0 in decreasing order. j, 0, -1, -12 Let n(o) = -o**2 - 14*o - 22. Let v be n(-14). Sort -1, v, 2 in descending order. 2, -1, v Let o(g) be the third derivative of 5*g**4/24 - 10*g**3/3 - 9*g**2. Let h be o(5). Let v be (-6)/(-4)*(-1)/(-2). Sort h, v, 3/8. 3/8, v, h Let q = 1082 - 1082. Let b = 4 - 7. Sort q, b, -8. -8, b, q Let j be (475/(-76))/(-25) + 1/4. Put -12, -2, j, -1/2 in ascending order. -12, -2, -1/2, j Suppose -m = -3*m - 8. Suppose -9*c + 5*c = -i - 17, 3*c = 5*i + 34. Sort -1, i, m, 0. i, m, -1, 0 Suppose -4*f + 4*n = -20, 0*n = -5*f - 5*n - 15. Sort 0, 105, -4, f in ascending order. -4, 0, f, 105 Let z = -295 - -295.1. Let n = 6 + -2. Sort n, 4/5, z. z, 4/5, n Let f(h) = h**3 + 36*h**2 + 36*h + 36. Let d be f(-35). Put -2, d, 16 in descending order. 16, d, -2 Let o be 24/3*-1 + 3. Let a be o + 4 + 4/7. Put 13, 2/7, a in increasing order. a, 2/7, 13 Let g be 3 - (5/(-5) - 3). Let x = g - 3. Sort 5, -16, x, 3. -16, 3, x, 5 Let p be (-4)/(-7)*(-135)/180. Put p, -20, -3 in increasing order. -20, -3, p Let k(j) = 65*j**2 + 2*j - 3. Let x be k(3). Let r be x/(-315) - (2/(-2) + -1). Put -1, -0.5, -3, r in descending order. r, -0.5, -1, -3 Let l(h) = 2*h**2 - 14*h - 36. Let a be l(-2). Put 5, a, 1, -1 in increasing order. -1, a, 1, 5 Let w be 4 - (0 - 24/4) - 5. Sort -2, -4, w. -4, -2, w Let f = -0.09 - 0.15. Let y = f + 0.24. Let h be 14/30 - (-1)/3. Sort h, y, 2/7 in descending order. h, 2/7, y Let j = -7.8 - -8.8. Sort j, -1, -1/6 in ascending order. -1, -1/6, j Suppose 2*p = -4, -5*a - 2*p + 136 - 15 = 0. Sort 1, a, -4, 4. -4, 1, 4, a Let y(p) = p**2 + 5*p + 2. Let v be y(-5). Let z = -0.0444 - 0.0256. Put z, -5/6, v in increasing order. -5/6, z, v Suppose 3*q + 2*q = -40. Suppose -105 = -11*f - 50. Sort -3, 4, f, q. q, -3, 4, f Let q = -24 + -1. Let p be (-3 - 170/(-55))*(1 - -1). Sort -5, p, q in decreasing order. p, -5, q Suppose 0*a - 5*a - 18 = p, -2*a + 5*p = -9. Let r be -4 - 2*(a - 1). Put -8, 0, r in descending order. r, 0, -8 Let p = 0 - 3. Let m = -5602 + 5597. Sort -15, p, m. -15, m, p Suppose -j + 4*j + 79 = -2*h, 0 = 4*h - 3*j + 131. Let y be (0 + -2)/(-6 + (-12 - -26)). Sort y, h, -3 in increasing order. h, -3, y Let x = -4.77 - -3.87. Sort -3/5, 8, x in descending order. 8, -3/5, x Let t = -5 + 4.94. Let q = 2.06 + t. Let i be (-5)/(-3)*14/(-35). Put -1, i, q in decreasing order. q, i, -1 Let c = 2/1253 - -2480/16289. Sort 4, -0.3, c, -0.1 in decreasing order. 4, c, -0.1, -0.3 Suppose 0 = -5*v - 4*t - 5, 8*v - t + 4 = 4*v. Let r = -4 + 12. Suppose -f = 4*w + w - 4, -2*f - 2*w = -r. Put -3, v, f in descending order. f, v, -3 Let r be (-2)/10*(113 + -118). Suppose -s - 8 = -5*s. Suppose 15 = m - 4*a, -s*m - 2*m - 3*a - 35 = 0. Sort -1, m, r in descending order. r, -1, m Let c = 0.2 - 0.7. Let w = 479.4 + -478.9. Put 1, w, c, 0.2 in decreasing order. 1, w, 0.2, c Let h = -7 - -3. Suppose -6*n + 1052 = -556. Let x = n + -268. Put 1, x, h in ascending order. h, x, 1 Let y be -3 + (2/1 - 3). Suppose 4*n - 3*n = 9. Suppose -n*k + 6*k = -6. Sort y, k, 1 in descending order. k, 1, y Let m be -5*(-3*(-147)/35 - 1). Sort -4, m, 1 in decreasing order. 1, -4, m Let b = -2160 - -2154. Sort -114, b, -3, 0 in decreasing order. 0, -3, b, -114 Suppose 7*o = -12*o + 114. Put 1, -4, -5, o in ascending order. -5, -4, 1, o Let u be (-2)/4 - (-33)/(-6). Let t(g) = 2*g + 1. Let m be 0/(-3) + 1 + -1. Let h be t(m). Sort -3, h, u in descending order. h, -3, u Let w be 45/(-231) + 3/(-33). Put w, 4, 1/7, 0.9 in increasing order. w, 1/7, 0.9, 4 Let i be 44/48 + (-20)/30. Sort -2/7, -1, -4, i in increasing order. -4, -1, -2/7, i Let u be 4 + -1*1*-1. Let v = -159 - -184. Suppose -14*g = -v - 31. Sort 2, u, g in increasing order. 2, g, u Suppose -5*j + 3*h + 6 = 0, -123*j + h + 12 = -118*j. Put j, 0.1, 71 in increasing order. 0.1, j, 71 Suppose 16 + 2 = -6*c. Let x(a) = -82*a - 16 + 13*a**2 + 3*a**3 + 67*a - a**3 - a**3. Let b be x(-14). Put c, b, 0 in increasing order. c, b, 0 Let g = -0.1827 - 3.8003. Let z = -0.017 + g. Put z, -3, 0.4 in descending order. 0.4, -3, z Suppose -3*b = -n + 12, -b + 4*n = 2 + 2. Let q(u) = u - 2. Let x be q(2). Sort b, x, -3. b, -3, x Let o = 5 + -5.06. Let v = o + 0.04. Let c = v - -2.02. Sort 1, c, -2 in descending order. c, 1, -2 Let w be ((-1)/4*4)/((-5)/(-20)). Sort w, -63, -2. -63, w, -2 Suppose 6*a + 1 = 5*a. Let t be a/2 + 34/(-4). Sort -5, t, -1 in decreasing order. -1, -5, t Let c(x) = 4*x - 35. Let n be c(8). Let v be (-4)/(-6) - (-4)/3. Sort -5, v, n. -5, n, v Let n = 3 - -4. Let r = -16 + n. Sort 3/2, -5, r, 2 in decreasing order. 2, 3/2, -5, r Let m = 77 - 165. Let d = m + 84. Put 3, 1/4, d in descending order. 3, 1/4, d Let y = -13.5 + 13. Let u = 0.23 - -12.77. Let i = u + -13.1. Sort i, 5, y in ascending order. y, i, 5 Let v(d) = 23*d + 98. Let l be v(-4). Put 22, l, 2 in ascending order. 2, l, 22 Let u be 4*8/(-16)*1. Put 11, u, -4 in increasing order. -4, u, 11 Let i = 8819 + -8819. Let r = 7 - 3. Sort -2, r, 5, i in decreasing order. 5, r, i, -2 Suppose -2*n = -2*f + 14 - 0, -1 = -2*n - 3*f. Let p = -11 + 14. Let o = -30 - -29. Put p, n, o in ascending order. n, o, p Suppose 3*c + c + 4*g = -4, -5*g = -2*c + 5. Suppose c = -0*x + 5*x - 25. Let p be (1 - 2)/(4/24*3). Sort 0, p, x. p, 0, x Suppose 0 = -5*l + 3*m + 30, -2*l = 4*m - 2 + 16. Let g = 212 + -214. Let c = 0 + 0.1. Sort l, g, c in decreasing order. l, c, g Suppose -6*n - 19 = 5. Sort 0.4, n, 130 in ascending order. n, 0.4, 130 Suppose -55 = -5*h - 5. Let p = h - 11. Put p, 2, -2 in descending order. 2, p, -2 Let z be (-2)/3*(-18)/4. Suppose z*r + 6 = 0, 0*y = 3*y - r + 1. Let b be 3 + -3 + 4 + -2. Sort b, y, -4 in ascending order. -4, y, b Let v(b) = -14*b + 37. Let i be v(1). Sort -1, i, -2 in increasing order. -2, -1, i Let r(f) = -f**2 - f + 2. Let m be r(3). Suppose -2*q + 35 = 3*q. Let o = q + m. Sort 0, o, -5 in decreasing order. 0, o, -5 Let z be ((-81)/18 - -5)/(2/12). Let x = 11 - 7. Let o = -3.6 + x. Sort 2, o, z in ascending order. o, 2, z Let v = 91 + -47. Let o = v - 49. Let n = 0.5 - 1.5. Put o, 0.2, n in decreasing order. 0.2, n, o Let v = -1 - 2. Let l = 11 + -7. Suppose -2*f - 10 = -14. Sort l, f, v. v, f, l Let k be (-4)/12*((-22)/(-1) + -7). Sort -13, 3, 4, k. -13, k, 3, 4 Let b be ((-24)/(-40))/((-27)/60). Sort 0.3, 14, -0.2, b in descending order. 14, 0.3, -0.2, b Let w = -19 - -16. Suppose -40 = -6*b - 28. Put w, -1/5, b, -2 in ascending order. w, -2, -1/5, b Let g(y) = -15*y + 72. Let q be g(5). Sort q, -1, 5, 4 in descending order. 5, 4, -1, q Let f be 8/24*9/6. Sort -0.42, 2/3, f, 3. -0.42, f, 2/3, 3 Let t be 21/2 + 102/68. Suppose 1 + 2 = -p, -5*n + 7 = -4*p. Sort n, -5, t in descending order. t, n, -5 Let u = 768 + -767. Sort -1.6, u, 0.5. -1.6, 0.5, u Let z = 16 - 10. Suppose 12 = z*h - 3*h. Suppose 3*n - 2*l = 16, 3*n = -3*l - 5 - h. Put -4, 7, n in ascending order. -4, n, 7 Let c = 441 - 443.01. Let s = 0.01 + c. Let b = s - -1.7. Sort 0, -5, b. -5, b, 0 Let f = -5.02 + 0.02. Let x = -2887/10 - -289. Sort x, f, -2 in descending order. x, -2, f Suppose 0 = -p + 2*p - 6. Let h be ((-10)/8)/((-115)/(-20) - p). Sort 2, -6, h. -6, 2, h Let l = 99 - 99.3. Sort -4, l, 3, -5/7 in ascending order. -4, -5/7, l, 3 Suppose -7*n + 70 = -0*n. Suppose -3*z + 6*z - 18 = -4*l, 3*l = 9. Put -5, n, z, -4 in increasing order. -5, -4, z, n Let i = -1.99 - -28.99. Sort -4, 1, i, 0.5 in increasing order. -4, 0.5, 1, i Let c = 561/28 + -79/4. Let v = 34 - 21. Let j = v - 11. Sort c, 3, j in increasing order. c, j, 3 Let o = 1613 + -1607. Sort -11, 1, -2, o in decreasing order. o, 1, -2, -11
{ "pile_set_name": "DM Mathematics" }
the second derivative of -1678*x**4 + x + 472 wrt x. -20136*x**2 Differentiate -247*b**3*c**3*j - 3*b**3*c**3 + 12*b**2*c**3 - b*c**3*j + 1 with respect to j. -247*b**3*c**3 - b*c**3 Find the second derivative of a**4*n + 2*a**4 + 2148*a**2 + 2*a*n + a - 414*n wrt a. 12*a**2*n + 24*a**2 + 4296 Find the second derivative of -50*s**5 + 32*s - 2 wrt s. -1000*s**3 Differentiate -4*b**4 - 108*b**3 - 17560 wrt b. -16*b**3 - 324*b**2 What is the second derivative of -971*c**4*j - 5*c**4*t**3 + c*j*t + 3*c*t**2 + 86*j*t**3 - 3*j*t - 2*t**3 wrt c? -11652*c**2*j - 60*c**2*t**3 What is the second derivative of 5*b**5*h**2 - 16*b**3*h**2 - b*h**2 - 137*b wrt b? 100*b**3*h**2 - 96*b*h**2 Find the second derivative of 2*h**5 + 12*h**4 - 17*h**3 - 7*h - 55 wrt h. 40*h**3 + 144*h**2 - 102*h What is the second derivative of 3*g*s**3*y - 24*g*s**2 - 5*g*s - g*y + s**3*y - 2*s**2*y + 64*s*y wrt s? 18*g*s*y - 48*g + 6*s*y - 4*y Find the second derivative of -2*l**3*m**2*r + l**3*r - 387*l**3 - l*m**2*r + 2*l*m**2 + 5*l*m*r + r wrt l. -12*l*m**2*r + 6*l*r - 2322*l Differentiate -4*l**3 - 4*l - 35 with respect to l. -12*l**2 - 4 What is the first derivative of 33*s**3 - 12*s - 11731 wrt s? 99*s**2 - 12 What is the third derivative of -679*f**6 - 7*f**2 + 9 wrt f? -81480*f**3 Find the second derivative of -240*k*x**4 + 2*k*x - 55*k wrt x. -2880*k*x**2 Find the third derivative of 230*u**5 - 73*u**2 wrt u. 13800*u**2 Find the third derivative of -141*k**6 + 21*k**2 wrt k. -16920*k**3 Differentiate -2*i**4 + 121*i - 193 wrt i. -8*i**3 + 121 Find the third derivative of 1725*k**5 + k**4*n + 2*k**2*n + 2344*k*n wrt k. 103500*k**2 + 24*k*n What is the third derivative of -28*k**6 - 115*k**2? -3360*k**3 Differentiate -1896*l*o*r + l*r - 3677*o*r + 4*r with respect to l. -1896*o*r + r Differentiate -221*b**2*w**2 - b**2 + 232*w**2 + 1 with respect to b. -442*b*w**2 - 2*b What is the second derivative of -6*d**3*o**3 - 406*d**3 + 570*d*o**2 - d + o**3 - o wrt d? -36*d*o**3 - 2436*d Find the second derivative of 6*b**5 - 35*b**4*x - b**3 + 2*b*x - 97*b - 2*x wrt b. 120*b**3 - 420*b**2*x - 6*b Find the second derivative of 1287*x**5 - 11*x + 10 wrt x. 25740*x**3 Find the second derivative of 3373*i**2 + 1940*i + 1. 6746 What is the third derivative of -1724*j**6 + 4*j**2 + 64*j wrt j? -206880*j**3 What is the third derivative of -88*b*x**3 - 2*b*x**2 + 340*b wrt x? -528*b Find the second derivative of 4*i**5 + 6*i**4 + i - 2 wrt i. 80*i**3 + 72*i**2 What is the third derivative of -66*q**5 + 122*q**2? -3960*q**2 Find the second derivative of 3*s**5 - 30*s**4 + 18*s**3 + 21714*s. 60*s**3 - 360*s**2 + 108*s Find the third derivative of -1203*b**4 - 310*b**2 + b. -28872*b What is the second derivative of -2*h*n**2 + 101*h*n + 474*n**2 - n wrt n? -4*h + 948 Find the second derivative of -d**3*n**3 - 3*d**3*n**2*u - 180*d**3*u**2 - d*n**3*u**2 - 97*u wrt u. -360*d**3 - 2*d*n**3 What is the second derivative of -2263*r**5 + r**4 + 2*r - 9861 wrt r? -45260*r**3 + 12*r**2 Find the first derivative of -381*q**2 + 482 wrt q. -762*q What is the second derivative of -73*o**5 + 56*o**2 - 1467*o - 1? -1460*o**3 + 112 What is the third derivative of -b*c**4*s + 10803*b*c**3*s**3 - 18*b*c*s**3 - 2*b*s - 205*c**2*s wrt c? -24*b*c*s + 64818*b*s**3 What is the second derivative of 19*h**3 + h**2 + 21*h wrt h? 114*h + 2 What is the third derivative of 165*f**2*u**5 + 13*f**2*u**4 - 169*f**2*u + 3*u**2 wrt u? 9900*f**2*u**2 + 312*f**2*u Differentiate -l*n*p**2 + 107*l*n*p + 2*l*p**2 - 66*l*p - n*p**2 + 23 wrt n. -l*p**2 + 107*l*p - p**2 What is the third derivative of 2*f**5 + 342*f**4 - 98*f**2 wrt f? 120*f**2 + 8208*f What is the third derivative of -484*c**4 + 3*c**2 - 3 wrt c? -11616*c Find the third derivative of 5104*z**5 + 2*z**3 + 16243*z**2 wrt z. 306240*z**2 + 12 What is the first derivative of 23*k**2*t**2 - 4649*k**2 + 65*k*t**2 wrt t? 46*k**2*t + 130*k*t Differentiate 1203*a**2 + 744 wrt a. 2406*a Differentiate 4*f**3*t**3*y + 17*f**3*t*y**3 + 2*f**3*t - 196*f*t**3 + f with respect to y. 4*f**3*t**3 + 51*f**3*t*y**2 Find the third derivative of 1861*u**6 - 1357*u**2. 223320*u**3 What is the third derivative of -766*d**6 - 747*d**2 wrt d? -91920*d**3 What is the first derivative of -6300*q**2 + 2*q + 3797 wrt q? -12600*q + 2 Find the second derivative of -195*t**5 - 2*t + 28 wrt t. -3900*t**3 What is the third derivative of -131*q**3 - 102*q**2? -786 Find the second derivative of 1820*l**2 - 9*l - 67. 3640 Find the second derivative of -2*d**3*o**2 - 75*d**3*o - 2*d*o - 432*o**2 wrt d. -12*d*o**2 - 450*d*o Differentiate -254*z**4 + 2*z**2 - 1611. -1016*z**3 + 4*z Find the third derivative of 3*k*q**6 + 21*k*q**4 + 2*k*q + 6*q**3 + 5*q**2 + 16*q wrt q. 360*k*q**3 + 504*k*q + 36 Find the third derivative of -252*i**6 + 8025*i**2 wrt i. -30240*i**3 What is the first derivative of 15*u**4 + 126? 60*u**3 What is the first derivative of 2*a**4 - 31*a - 825 wrt a? 8*a**3 - 31 What is the third derivative of -482*t**6 - 502*t**2? -57840*t**3 Find the second derivative of -7470*m**3 - 351*m + 2 wrt m. -44820*m Differentiate -13*a**3*b + 31*a**3*l + 2*a**3 + 4*a**2*b*l - 4 wrt b. -13*a**3 + 4*a**2*l Find the second derivative of -5*m*t**3 + 8*m*t**2 - 6*m - 7*t wrt t. -30*m*t + 16*m Differentiate -98*m**3*y**2 + 3*m**2*y**2 + 233*y**2 with respect to m. -294*m**2*y**2 + 6*m*y**2 Find the first derivative of -2523*q**4 - 2*q**3 + q + 3586. -10092*q**3 - 6*q**2 + 1 What is the third derivative of 155*j**6 + 2*j**5 + 598*j**2? 18600*j**3 + 120*j**2 What is the third derivative of 6*a*t**5 + a*t**3 - a*t + 205*a - 7*t**5 + 2*t**2 wrt t? 360*a*t**2 + 6*a - 420*t**2 Find the third derivative of -2*i*l**4 + 388*i*l**3 + 34*i*l**2 + 11*i*l wrt l. -48*i*l + 2328*i Find the third derivative of 68*s**6*u**2 + 13*s**4*u**2 - 6*s**2*u**2 + 195*s*u**2 wrt s. 8160*s**3*u**2 + 312*s*u**2 What is the second derivative of -1339*u**5*v + 2*u**4*v**2 + 79*u*v**2 - 2*u*v + 6*u wrt u? -26780*u**3*v + 24*u**2*v**2 Find the second derivative of b**2*p**3 + b**2*p - 108*b**2 - 88*b*p**4 wrt p. 6*b**2*p - 1056*b*p**2 What is the second derivative of -3*k**4 + 458*k**2*r**3 - 124*k*r**3 + 2*r**3 wrt k? -36*k**2 + 916*r**3 Find the second derivative of 92*i**2*y**3 + 4*i**2*y + 9*i*y**3 + 55*y**3 wrt i. 184*y**3 + 8*y Find the third derivative of 2*r**5 - 25*r**3*w*y - 4*r**3*w + 21*r**2 + r*w*y - r*y + r wrt r. 120*r**2 - 150*w*y - 24*w What is the third derivative of 14*k**6 + 40*k**5*p + 17673*k**2*p wrt k? 1680*k**3 + 2400*k**2*p What is the derivative of 39*c*l + 158*c + 16*l - 5 wrt l? 39*c + 16 Find the first derivative of -236*b**3 - 2*b**2 + 3675. -708*b**2 - 4*b What is the third derivative of 5638*l*x**4 + 2*l*x**3 + 2*l*x**2 + 7260*l - 2*x**4 - 2*x**3 wrt x? 135312*l*x + 12*l - 48*x - 12 Find the second derivative of 1893*p**3 - 2*p**2 - 11009*p. 11358*p - 4 What is the third derivative of d**2*p**3 - 37*d**2 + 3*d*p**2 + 8*p**6 wrt p? 6*d**2 + 960*p**3 What is the second derivative of 9*b**3*v**2 + 31*b**3*v + 2*b**2*v**3 + b**2*v - 2*v**4 + 2*v wrt v? 18*b**3 + 12*b**2*v - 24*v**2 Differentiate -m**3*x**4 - 11*m**3*x**2 - 25*m**3 - 7 wrt x. -4*m**3*x**3 - 22*m**3*x What is the third derivative of -5458*r**4 + 15061*r**2? -130992*r What is the third derivative of -245*u**4 - u**3 + 2*u**2 - 7*u? -5880*u - 6 What is the first derivative of 14*k**2*q**3 - 4*k**2 - 68*k*q**4 + 621*k wrt q? 42*k**2*q**2 - 272*k*q**3 What is the derivative of 2*l**3 - 3*l**2 - 161*l - 2079? 6*l**2 - 6*l - 161 What is the second derivative of -3*t**4 - 8*t**3 - 301*t wrt t? -36*t**2 - 48*t What is the second derivative of 25*g**3*z**2 + g**3 + 16*g*z**3 + 2*g*z**2 - 8*g + 2*z - 9 wrt z? 50*g**3 + 96*g*z + 4*g What is the second derivative of -19004*b**3*n**2 + 18*b**3*n + 240*n wrt n? -38008*b**3 What is the third derivative of -230*r*x**5 - r*x**4 - 41*r*x**2 - 2*x**2 wrt x? -13800*r*x**2 - 24*r*x What is the third derivative of -8*a**3*u*z**3 + 2*a**3*u*z**2 - 5*a**3*z**3 - 2*a**3 + 3*a**2*z**2 + 8*a*u - 5*z**4 wrt z? -48*a**3*u - 30*a**3 - 120*z Find the second derivative of -2*o**3*p - 128*o**3 + 4*o**2 - 20*o*p - 3*p - 26 wrt o. -12*o*p - 768*o + 8 What is the second derivative of f**3*r**2 - 2*f**3 - 465*f**2*r - f*r + 9
{ "pile_set_name": "DM Mathematics" }
d**2 Let y(o) = -14673*o. Let i(u) = -6*u. What is i(y(m))? 88038*m Let a(t) = -t. Let j(u) = 1. Let k(i) = 3*i + 5. Let l = -1 - -27. Let r = l + -11. Let y(f) = r*j(f) - 3*k(f). Determine a(y(h)). 9*h Let y = 57 - 55. Let u(v) = -6*v + 9*v**2 - 11*v**y + 6*v. Let f(k) = -3*k. Calculate u(f(x)). -18*x**2 Let v(q) = 3 - 3*q + 0 - q**2 + 2*q**2. Let a(x) = -2*x**2 + 8*x - 8. Let r = -124 - -121. Let c(n) = r*a(n) - 8*v(n). Let f(o) = -2*o**2. What is c(f(y))? -8*y**4 Let h(o) be the first derivative of 5*o**2/2 - 165. Let f(z) = -9*z**2 + 5. What is h(f(u))? -45*u**2 + 25 Let l(c) be the first derivative of -c**3/3 + 13. Let w(m) = -14*m**2 - m. Give w(l(x)). -14*x**4 + x**2 Let p(j) = -5*j**2. Let x(i) = 100255*i. Calculate p(x(k)). -50255325125*k**2 Let d(r) = 2*r. Let w(o) = -24*o - 20*o + 43*o. Let m(n) = 3*d(n) + 4*w(n). Let t(k) = -4*k**2. What is t(m(g))? -16*g**2 Let v(a) = -131737*a. Let m(u) = -u**2. What is m(v(s))? -17354637169*s**2 Let j(c) = 38*c - 39. Let f(w) = 27*w**2 + 3*w. What is f(j(z))? 38988*z**2 - 79914*z + 40950 Let h(d) = 10*d**2. Let g(s) = 310149*s**2. Calculate h(g(p)). 961924022010*p**4 Let p(s) = -s. Let c be -2 + 0/4 - 19. Let i be 12/c + (-54)/(-21). Let h(g) = g**2 + 7*g**2 - 14*g**i. Give p(h(z)). 6*z**2 Let b(g) = 24*g**2. Let f(n) = 15103*n**2. What is f(b(y))? 8699328*y**4 Let k(l) = l**2 + l - 1. Let n(s) = 8*s**2 + s - 1. Let y(b) = k(b) - n(b). Let m(w) = -7*w. Give y(m(d)). -343*d**2 Let m(f) = -f**2 - 12*f - 6. Let q(s) = 2*s**2 + 22*s + 11. Let d(u) = -11*m(u) - 6*q(u). Let v(z) = -6*z. What is v(d(n))? 6*n**2 Let x(i) = 80*i**2 - 39*i**2 - 43*i**2. Let v(w) = -8*w. Give x(v(z)). -128*z**2 Let h(s) = -3*s**2. Let x = -5 + 10. Let u(w) = w**3 - 4*w**2 - 4*w - 3. Let j be u(x). Let c(o) = 5 + j*o**2 - 10 + 5. What is h(c(p))? -12*p**4 Let w(a) = -7*a + 29*a - 20*a. Let j(y) = 3*y**2 - 3*y. Determine j(w(b)). 12*b**2 - 6*b Let j(h) = -10*h. Let s(x) = -6*x. Let v(o) be the second derivative of -o**3/6 - 3*o. Let y(a) = 6*s(a) - 33*v(a). Give y(j(z)). 30*z Let q(w) be the second derivative of w**3/3 - 80*w + 1. Let v(r) = 76*r + 1. Calculate v(q(u)). 152*u + 1 Let h(n) = -180620*n. Let z(p) = 10*p**2. Calculate z(h(o)). 326235844000*o**2 Let u(z) = -36*z. Let c(h) = h - 1. Let p(w) = -2*w**2 + 3*w - 3. Let i(o) = 6*c(o) - 2*p(o). What is i(u(t))? 5184*t**2 Let p(g) = -8*g. Let n(k) be the third derivative of -k**5/15 - 580*k**2. What is n(p(d))? -256*d**2 Let v(g) = g**3 - 5*g**2 + 5*g + 2. Let m be v(4). Let z(h) = 153*h - 39. Let f(b) = -8*b + 2. Let y(n) = m*z(n) + 117*f(n). Let a(s) = 3*s**2. What is a(y(q))? 972*q**2 Let n(s) = 4*s**2. Let x be 48/(-18)*(-9)/6. Let v(d) = -7*d**2 + 4*d**2 + x*d**2. Give v(n(o)). 16*o**4 Let l(s) = -2*s**2. Suppose 5*m - 16 - 24 = 0. Suppose 5*w + 6 = 2*h - 0*h, -4*w + m = 0. Let j(u) = -u + 10*u - h*u - 5*u. Calculate l(j(a)). -32*a**2 Let h(o) = -o**2. Let f(g) = g**2 - 7082. Give f(h(l)). l**4 - 7082 Let h(z) = 9*z**2 - 23. Let c(i) = -2*i - 33. Calculate h(c(m)). 36*m**2 + 1188*m + 9778 Let c(i) = -7*i. Let b = 9 + -10. Let r be -7 - b/(3/6). Let y(p) = -p**2 - 3*p + 3. Let v(z) = -2*z**2 - 5*z + 5. Let s(a) = r*y(a) + 3*v(a). Give s(c(d)). -49*d**2 Let h(q) = 13*q - 31*q + 21*q. Let n(s) = 161*s. Give h(n(b)). 483*b Let s(h) = -15*h**2. Let a(b) = -b**2 - b. Let q(l) = -10*l**2 - 3*l. Let y(n) = -3*a(n) + q(n). Give s(y(f)). -735*f**4 Let l(z) be the third derivative of 7*z**5/30 + 6*z**2. Let g(x) = -95 + 2*x**2 + 95. Give g(l(d)). 392*d**4 Let s(j) = 13*j**2 + 6*j + 12. Let o(b) = -28*b**2 - 13*b - 26. Let d(c) = 6*o(c) + 13*s(c). Let f(a) = 165*a**2. Give f(d(w)). 165*w**4 Let h(q) = 324*q**2. Let d(t) be the first derivative of t**3/3 + 74. Calculate h(d(m)). 324*m**4 Let z(s) be the first derivative of s**2/2 - 15*s + 206. Let w(d) = d. Determine z(w(l)). l - 15 Let v(w) be the second derivative of 0 - 2*w + 0*w**2 + 1/6*w**3. Let t(c) = -17*c + c + 14*c. Give v(t(l)). -2*l Let k(h) = 26*h**2 + 8. Let q(b) = -46*b**2 - 14. Let s(t) = 7*k(t) + 4*q(t). Let f(a) be the first derivative of 3*a**3 - 2*a - 1. Give f(s(r)). 36*r**4 - 2 Let v(r) = -428*r. Let a(g) be the first derivative of g**3/3 - 15. Determine a(v(s)). 183184*s**2 Let a(f) = -154*f + 2. Let g(p) = 13*p - 7. Determine a(g(c)). -2002*c + 1080 Let h(i) = -13*i**2 - 7*i - 7. Let g(d) = -6*d**2 - 3*d - 3. Suppose 3*q = 12 - 3. Let f(l) = q*h(l) - 7*g(l). Let m(v) = -7*v**2. Give f(m(p)). 147*p**4 Let i(n) = -6*n**2 + 2*n**2 + 4*n**2 - 5*n**2. Let s(l) be the second derivative of 0*l**2 + 6*l + 0 + 1/2*l**3. Give i(s(v)). -45*v**2 Let a(t) = -2*t**2. Suppose -5*i - 5*w + 50 + 0 = 0, 3*i - 20 = -w. Let k(v) = -i*v + v + v - 15*v. Determine a(k(f)). -648*f**2 Suppose t + 1 = 3. Let m(k) = -6 + 9 - 3 + t*k. Let q(c) = -2*c. Determine q(m(p)). -4*p Let x(c) = 7*c**2 - 17*c. Let j(k) = -26*k + 2. What is j(x(q))? -182*q**2 + 442*q + 2 Let g(h) = -h. Let b(d) be the first derivative of -3*d**3 + 8*d - 15. Let m(f) = f**2 - 1. Let u(r) = 5*b(r) + 40*m(r). Calculate g(u(x)). 5*x**2 Let i(z) = z**2 - 27*z. Let n(c) = 2*c**2 - 55*c. Let u(h) = 7*i(h) - 4*n(h). Let s(q) = -5*q**2. What is s(u(v))? -5*v**4 + 310*v**3 - 4805*v**2 Let w(j) = -2*j + 50. Let f(v) be the first derivative of 3*v**2/2 - 215. Calculate w(f(n)). -6*n + 50 Let j(w) = w - w + 6*w. Let c(y) = 2*y**2 - 9*y - 3. Let k be c(5). Let u(a) = 12*a**k + 8*a**2 - 23*a**2. Determine u(j(o)). -108*o**2 Let d(j) = -32*j. Suppose 4*m + 3*y + 2 = 0, -4*m + 7 = -2*y - 1. Let s(o) = o. Let b(v) = m*d(v) + 40*s(v). Let q(a) = 2*a**2. Determine q(b(k)). 128*k**2 Let n(j) = -2*j + 7048. Let t(o) = 6*o**2 - 10*o. What is t(n(s))? 24*s**2 - 169132*s + 297975344 Let j(a) = -a. Let v(u) be the third derivative of -203*u**5/30 + 474*u**2. What is v(j(z))? -406*z**2 Let w(a) = a**2. Let o(q) = 9*q**2. Let j(l) = -37*l**2. Let i(h) = -2*j(h) - 9*o(h). Let p(y) = -3*i(y) - 24*w(y). Let z(g) = 3*g**2. Give z(p(c)). 27*c**4 Let h(r) = -11*r**2. Let c(i) = 4*i - 46072 + 46072. Calculate c(h(x)). -44*x**2 Let c(k) = -9*k. Let z(d) = -d + 3. Let s(q) = 7*q**2 - 14*q + 42. Let p(n) = -s(n) + 14*z(n). What is p(c(f))? -567*f**2 Let q(b) = b. Let o(l) = -3*l + 1829. Calculate q(o(g)). -3*g + 1829 Let p = 36 + -33. Let x(b) = -2*b - p*b + 4*b + 4*b. Let i(h) be the first derivative of 4*h**3/3 - 3. Give i(x(o)). 36*o**2 Let j(r) be the second derivative of -r**4/6 + 8*r. Let t(w) = 9*w**2 - 4*w. Let m(n) = -n**2 + n. Let k(a) = -4*m(a) - t(a). Give j(k(h)). -50*h**4 Let t(z) = -2*z. Let l(s) be the first derivative of s**2/2 - 6*s + 9. Let r(i) = -i + 8. Let o(g) = -3*l(g) - 4*r(g). Calculate t(o(x)). -2*x + 28 Let m(t) = 8*t**2. Let a(f) = -f - 1. Let i(q) = 2. Let o = -11 + 17. Let b be 4/o + 88/(-33). Let h(y) = b*a(y) - i(y). Give h(m(d)). 16*d**2 Let z(m) = 50. Let u(a) = a - 25. Let g(c) = -2*u(c) - z(c). Suppose -6*w + 15 = -w. Let i(k) = w*k**2 + 6*k**2 - 5*k**2. What is g(i(v))? -8*v**2 Let g(y) = -2*y. Suppose 0*t - 4*t - 3*a + 48 = 0, -3*a - 12 = 0. Let x = -12 + t. Let k(u) = -3*u**2 + 4 - 7 + x. Give g(k(r)). 6*r**2 Let z(s) = 15*s. Let o(i) be the second derivative of -i**3/3 + 9*i + 1. Determine z(o(h)). -30*h Let t(o) be the first derivative of -o**3 - 29. Let l(c) = -39*c - 8*c**2 + 39*c. Calculate t(l(m)). -192*m**4 Let i(r) = 5*r - 2. Let t(d) = -26*d + 11. Let g(p) = 11*i(p) + 2*t(p). Let y(a) = -2*a - 3*a + 7*a. Give y(g(v)). 6*v Let c(f) = -f**2. Let p(b) = 250*b**2 + 1543 - 1543. What is c(p(h))? -62500*h**4 Let c(f) be the first derivative of -3*f**2/2 + 199. Let g(v) = -v**2 + 133. Give c(g(z)). 3*z**2 - 399 Let t(h) = 659*h**2. Let m(i) = 13*i**2 - 2. Give m(t(v)). 5645653*v**4 - 2 Let g(m) = -2*m**2. Let r(d) = 65220*d**2. What is r(g(c))? 260880*c**4 Let a(z) = 3*z**2. Suppose 0 = -4*s - 2*u - 2*u + 20, 0 = 4*u - 8. Let m(k) = s*k**2 + 53*k - 25*k - 28*k. Calculate m(a(i)). 27*i**4 Let o = -216 + 220. Let g(a) be the third derivative of 0*a**3 - o*a**2 + 0 + 1/6*a**4 + 0*a. Let p(m) = m**2. What is g(p(c))? 4*c**2 Suppose 0 = -2*n - n. Suppose -3*u - u + 52 = n. Let f(h) = 9*h**2 - u*h**2 + 13*h**2. Let m(a) = -a**2. Give m(f(j)). -81*j**4 Let y(d) = -2*d. Let l(v) = -3*v - 11. Let a(u) be the second derivative of 4*u**3/3 + 17*u**2 + 4*u. Let g
{ "pile_set_name": "DM Mathematics" }
s in -5*j**3 + j**3 - j**2 + 8*j**3 + 5*j**2. 4*j**3 + 4*j**2 Collect the terms in 9*i**2 + 18*i**2 + 8*i**2 + i**3 - 34*i**2. i**3 + i**2 Collect the terms in -41 - s + 0*s + 28 - 54. -s - 67 Collect the terms in 63*f + 139*f - 99*f + 188*f. 291*f Collect the terms in 0*u**3 + 3*u**3 + 11041*u - 11041*u. 3*u**3 Collect the terms in -3*p**3 + 8505*p**2 - 8505*p**2. -3*p**3 Collect the terms in -3*h**2 + h**3 + 3*h**2 + 5 + 0. h**3 + 5 Collect the terms in t + 9287 - 9287. t Collect the terms in 805*k**3 - 793*k**3 + 4*k - 4*k. 12*k**3 Collect the terms in 13*p - 22*p + 10*p + 30. p + 30 Collect the terms in 1 - 27*q - q - 24*q - q. -53*q + 1 Collect the terms in q**2 + 2*q**2 + 25*q - q**2 - q**2. q**2 + 25*q Collect the terms in 3 - d - 3 - d - 316*d**2. -316*d**2 - 2*d Collect the terms in -14*i**3 + 8*i**3 + 3*i**3 + 5*i**3. 2*i**3 Collect the terms in -5*f**2 + 3*f**2 - 10*f + 4*f + 6*f. -2*f**2 Collect the terms in -4*u**2 + 0*u**2 + 4*u**2 + 2*u**3 + 7. 2*u**3 + 7 Collect the terms in 15 - 1 + 4*v**2 - 3*v**2. v**2 + 14 Collect the terms in -12*l**2 + 4*l**2 + 2*l**3 - 9*l**2. 2*l**3 - 17*l**2 Collect the terms in 414*l**3 - 2 + 413*l**3 - 821*l**3 + 2. 6*l**3 Collect the terms in -567*i - 5*i**2 + 567*i. -5*i**2 Collect the terms in -13228 + 13228 - 27*w. -27*w Collect the terms in -3*h + 2 - 1 + 1. -3*h + 2 Collect the terms in -13*x**2 - 2*x**2 - 6*x**2. -21*x**2 Collect the terms in -2 + 1 + 3 + 0 + 9*y**3. 9*y**3 + 2 Collect the terms in -118*s**2 + 63*s**2 + s + 57*s**2 - s. 2*s**2 Collect the terms in 2*a**2 + 12*a**2 - 5*a**2. 9*a**2 Collect the terms in m**2 - m**2 - 12*m**2 + m**2. -11*m**2 Collect the terms in f**2 - 28*f**2 + 28*f**2. f**2 Collect the terms in -723 + 2*f - 3*f + 723. -f Collect the terms in -47 + 138 - 44 - 47 + 3*l. 3*l Collect the terms in 1 - 2*l - 3 + 1 - 3*l. -5*l - 1 Collect the terms in 373*b - 748*b + 379*b. 4*b Collect the terms in -63442*s**2 - 63437*s**2 + 126882*s**2. 3*s**2 Collect the terms in -7*l + 8*l + 12*l + 16. 13*l + 16 Collect the terms in 5*f - 4*f - f - 4*f. -4*f Collect the terms in -56*f**2 + 11*f**3 + 9*f**3 + 56*f**2. 20*f**3 Collect the terms in 119*m + 105*m - 247*m. -23*m Collect the terms in -12*p - 13*p - 15*p + 44*p. 4*p Collect the terms in -3 + 8*t - 4 + 7. 8*t Collect the terms in -l + 3*l - 6*l + 18*l. 14*l Collect the terms in 17 - 12 - 8 + 169*k. 169*k - 3 Collect the terms in 0*v + 2*v - 3*v + 1 + 5. -v + 6 Collect the terms in -206*z - 230*z + 438*z. 2*z Collect the terms in 151*i - 297*i + 148*i. 2*i Collect the terms in -5*s**2 + 48*s**2 - 28*s**2. 15*s**2 Collect the terms in -a**2 - a**3 + 68803 - 68803 + a**2. -a**3 Collect the terms in 32*w**2 - 14*w**2 - 9*w**2. 9*w**2 Collect the terms in -5*h + 4*h - 9*h**3 + h + 2*h**3. -7*h**3 Collect the terms in -144*v - 2*v**2 + 144*v - 8. -2*v**2 - 8 Collect the terms in 12*k**2 - 6*k**2 - 4*k**2 - 7*k**2. -5*k**2 Collect the terms in -208*v - 203*v + 13*v**2 + 411*v. 13*v**2 Collect the terms in r**2 - 717 + 360 + 357. r**2 Collect the terms in -1051 + 1051 - 3*p. -3*p Collect the terms in -124 - 127 + 251 + 3*b. 3*b Collect the terms in -8*r**3 - 109*r + 61*r - 9*r**3 + 48*r. -17*r**3 Collect the terms in 2*j**2 - 22*j**2 + j**2. -19*j**2 Collect the terms in 326*g**2 + 321*g**2 - 657*g**2. -10*g**2 Collect the terms in 1235*j**2 - 3696*j**2 + 1232*j**2 + 1233*j**2. 4*j**2 Collect the terms in 13107 - 13107 - 2*v**2. -2*v**2 Collect the terms in -28*n**3 + 64*n**3 - 33*n**3. 3*n**3 Collect the terms in -8*l**3 - 10*l**3 - 9*l**3 + 14*l**3. -13*l**3 Collect the terms in -4*r + 6*r - 59*r**2 + 46*r**2 - 2*r. -13*r**2 Collect the terms in -3*s**2 + 5*s**2 - 2*s**2 - 8*s**3. -8*s**3 Collect the terms in -167*h**3 + 58*h**3 + 59*h**3 + 52*h**3. 2*h**3 Collect the terms in -9*y - 517*y + 4 - 4. -526*y Collect the terms in 7 - 28 + 2*d + 6 - 19. 2*d - 34 Collect the terms in -167 + k + 167. k Collect the terms in 51*c - 7 + 7. 51*c Collect the terms in -j**3 - 667 - 659 + 1326. -j**3 Collect the terms in 66*g**3 - 29*g**3 - 29*g**3. 8*g**3 Collect the terms in -7*h + 5*h - 4*h + h. -5*h Collect the terms in -25*c - 37*c + 65*c. 3*c Collect the terms in d - d + 4*d - 3*d. d Collect the terms in -47 - 17*b**3 + 47. -17*b**3 Collect the terms in -7 + 8*j**2 - 4 + 11. 8*j**2 Collect the terms in -66*c**2 - 58*c**2 - 75*c**2 + 195*c**2. -4*c**2 Collect the terms in 19 - 3*g**3 - 19. -3*g**3 Collect the terms in 0 + 0 + 15*x - 8*x. 7*x Collect the terms in -1381*f**3 + 3 + 1427*f**3 - 3. 46*f**3 Collect the terms in -2 - 15 + 17 - 4*l. -4*l Collect the terms in -17*u + 3 - 3. -17*u Collect the terms in 4*a**2 + 2*a**2 - 3*a**2 - 2*a**2. a**2 Collect the terms in -5 + 2 - 2*b**2 - 2 - 6. -2*b**2 - 11 Collect the terms in 4*p - 15 + 4*p + 15. 8*p Collect the terms in -a**2 - 9*a + 27*a - 15*a - 3*a. -a**2 Collect the terms in -22*m - 16*m - m + 0*m. -39*m Collect the terms in -4*i + 5*i + i - 7*i + 3*i. -2*i Collect the terms in -2 + 2*y**2 - 5 + 7 - y. 2*y**2 - y Collect the terms in -2 + 10 - 8 - 2*m**2. -2*m**2 Collect the terms in 19*k**2 - 15*k**2 + 11*k**2. 15*k**2 Collect the terms in -22*r**2 - 25*r + 11*r + 14*r. -22*r**2 Collect the terms in 197 - 197 - 8*j - 3*j. -11*j Collect the terms in 46*d - 46*d + 65*d**2 - 68*d**2. -3*d**2 Collect the terms in -339 + 339 - 19*x + 5*x. -14*x Collect the terms in -13*s**2 - 11*s + 4*s + 7*s. -13*s**2 Collect the terms in 8*h**2 - 17*h**2 - 51 + 3 + 10*h**2. h**2 - 48 Collect the terms in 293 - 293 + 2*x**2. 2*x**2 Collect the terms in -19*l**2 - 12*l**2 - 17*l**2 - 10*l**2. -58*l**2 Collect the terms in 1232*m - 616*m - 2 - 618*m + 2. -2*m Collect the terms in 7 - 9 - 2*j + 7*j - 2. 5*j - 4 Collect the terms in 23*c + 8*c + 53*c. 84*c Collect the terms in 5*z + 9*z - 19*z + 10*z. 5*z Collect the terms in -s**2 - 194*s**3 + 198*s**3 - s**2 + 2*s**2. 4*s**3 Collect the terms in -208 + 104 + 6*g**2 + 104. 6*g**2 Collect the terms in -3*y**2 + 18*y**2 - 16*y**2. -y**2 Collect the terms in 24*u**2 - 47*u + 93*u - 46*u. 24*u**2 Collect the terms in 7*h**2 + 35*h - 59*h + 24*h. 7*h**2 Collect the terms in 6*g + g - 4*g. 3*g Collect the terms in 1 - 3 - 19*k + 280*k + 33*k. 294*k - 2 Collect the terms in -54*w**2 - 49*w**2 + 101*w**2. -2*w**2 Collect the terms in 16*t**3 + 2*t - 2*t + 31*t**3 - 51*t**3. -4*t**3 Collect the terms in -34 + 34 - 74*b. -74*b Collect the terms in 14*s**2 - s**2 - 109 + 109. 13*s**2 Collect the terms in -b**3 + 4028*b**2 - 4034*b**2 + 7*b**3. 6*b**3 - 6*b**2 Collect the terms in 156 + p + 7*p - 154. 8*p + 2 Collect the terms in 15*w**3 - 753*w**3 - 24*w**3. -762*w**3 Collect the terms in -13*a**2 - 17*a**2 + 31*a**2. a**2 Collect the terms in 0*x**2 + 14*x**2 - 12*x**2 + 0*x**2 - 6*x**2. -4*x**2 Collect the terms in -2443*n**2 + 1514*n**2 - 2493*n**2 - 202*n**2. -3624*n**2 Collect the terms in 7*o**2 + o**3 - 11*o**3 - 5*o**2 + 8*o**2. -10*o**3 + 10*o**2 Collect the terms in -88*d**2 + 48*d**2 + 14*d**3 + 40*d**2. 14*d**3 Collect the terms in -1 - g**2 - 5 + 6. -g**2 Collect the terms in -96*d + 58*d - 138*d - 67*d. -243*d Collect the terms in 27*l**2 + 18*l - 18*l - 25*l**2. 2*l**2 Collect the terms in 15*f - 5*f - 594 - 590 + 1184. 10*f Collect the terms in 0*g**2 - 13*g**3 + 2*g**2 - 1 + 1. -13*g**3 + 2*g**2 Collect the terms in -26*i - 35 + 35. -26*i Collect the terms in 7*o - 14*o + 12*o. 5*o Collect the terms in -2600*o + 1299*o + 1301*o + 3*o**2. 3*o**2 Collect the terms in -17 + 48 - 7*q - 31. -7*q Collect the terms in -1123 + 1123 - 2*u**2. -2*u**2 Collect the terms in 362*x**2 + 362*x**2 - 2*x**3 - 724*x**2 + 12*x**3. 10*x**3 Collect the terms in 57*f - 76*f - 5 - 3 + 1. -19*f - 7 Collect the terms in -4 + 4 - 88*p + 93*p. 5*p Collect the terms in k**3 - 8 - 13 + 21 - 2*k**3. -k**3 Collect the terms in 16*t**3 + 8*t - 3*t - 5*t. 16*t**3 Collect the terms in 229*i**3 + 226*i**3 + 198*i**3. 653*i**3 Collect the terms in 24 + 2*t**3 - 7 + 30*t - 17. 2*t**3 + 30*t Collect the terms in -3*n**2 + 45*n**3 - 2*n**2 + 5*n**2 - 44*n**3. n**3 Collect the terms in -30063 - y**3 + 30063. -y**3 Collect the terms in -6*q**2 + 107*q - 107*q. -6*q**2 Collect the terms in 1577 - 1577 - 28*j**2. -28*j**2 Collect the terms in 1 + 5*u + 4 - 3*u - 5. 2*u Collect the term
{ "pile_set_name": "DM Mathematics" }
e 25 = 5*l, 0 = -3*t + m*t - 3*l + 23. Is t a multiple of 3? False Suppose -1 - 16 = -x. Does 5 divide x? False Let s be ((-52)/6)/(4/(-60)). Let a = s - 79. Does 17 divide a? True Let p(t) = 96*t - 28. Is 13 a factor of p(3)? True Suppose -4*x - x + 147 = 2*a, 3*a + 84 = 3*x. Is 12 a factor of x? False Suppose -7 = 5*d - 2. Let p = 6 + d. Does 5 divide p? True Let m(a) = -17*a - 5. Let u be m(-5). Let j = -40 + u. Does 8 divide j? True Let b = -2 + 5. Suppose -59 = -2*i - 5*l, i - 43 = -b*i + 5*l. Let p = i - 6. Is 11 a factor of p? True Suppose 0 = -2*a - 2*x + 12, -5*x - 3 = -6*x. Let u(o) = -2 + 6 - 3*o**a + 0*o**2 - 8*o**2 + 2*o**3. Is 4 a factor of u(-8)? True Let w(i) = i. Let p(c) = c**2 + 18*c. Suppose 0 = -4*a - 4, 2*m + 0*a = -4*a - 6. Let j(k) = m*p(k) + 5*w(k). Is 13 a factor of j(-6)? False Let d = -27 + 69. Does 5 divide d? False Let a(j) = 12*j. Let k be a(1). Suppose 0 = -3*z + 5*z - k. Does 6 divide z? True Let l = 251 - 87. Is 16 a factor of l? False Let z(x) = x**2 + 6*x - 1. Is z(7) a multiple of 15? True Let u(h) = h**2 + h - 4. Suppose -5*b - 15 = -2*b. Is u(b) a multiple of 8? True Let i(j) = -j**2 - 8*j - 3. Let p be i(-7). Suppose -p*y - 112 = -8*y. Is y a multiple of 6? False Suppose 0 = v + 9 - 61. Suppose g + v = 4*k - g, -3*g = -5*k + 67. Is k a multiple of 3? False Let q(o) = o**2 - 6*o + 2. Let z be q(3). Let c(f) = -f**2 - 9*f - 4. Does 10 divide c(z)? True Let k = 18 + -10. Let v be (15/4)/(2/k). Let u = v - 10. Is u a multiple of 5? True Suppose 5*n - 25 = -r, 3*n + r + 4*r = 37. Suppose -4*v = 4 + n. Let u = v + 20. Does 9 divide u? True Is 6 a factor of (-6)/2 + (13 - -8)? True Let q(j) = -j**3 - 4*j**2 + 2*j. Let b(t) = t**3 + 4*t**2 - 5*t - 5. Let z be b(-5). Is q(z) a multiple of 15? True Suppose 3*b + 34 - 124 = 0. Is b a multiple of 15? True Suppose -2*y = -3 + 1, -53 = -3*i + 4*y. Is 19 a factor of i? True Let i(s) = -s**3 + s - 23 + 7 + 0*s + s**2. Let a be i(0). Let d = a - -24. Is 4 a factor of d? True Let a = -143 + 31. Let n = -76 - a. Is n a multiple of 9? True Let d(n) be the second derivative of n**5/20 + n**4/6 - 2*n**3/3 + 3*n**2/2 + 4*n. Let s be d(2). Let w = 21 - s. Does 10 divide w? True Is 13/(-91) + 422/14 a multiple of 12? False Suppose 5*a + 0 - 10 = 0. Suppose 3*q - 5*b - 7 + a = 0, 4*q + 3*b + 3 = 0. Suppose q = 2*h - 6*h + 44. Is h a multiple of 11? True Let p = -11 - -15. Suppose 0*j = 3*j + p*g + 16, -20 = -2*j + 5*g. Suppose -t + 3 = -j*t. Is t even? False Let y(i) = i**3 - 15*i**2 + 4*i - 18. Does 7 divide y(15)? True Let c(j) = -13*j - 19. Is 36 a factor of c(-7)? True Let l = -96 - -223. Let x = -67 + l. Is 10 a factor of ((-8)/(-5))/(8/x)? False Let d(u) = u + 5 + 7 - 1. Let z be d(-10). Is 6 a factor of (2 + -13)/(-1*z)? False Let o = 12 + -7. Suppose t + 0*a = -4*a + 21, -3*a - 220 = -o*t. Is 16 a factor of t? False Let s = -33 + 50. Is s a multiple of 11? False Let k(x) = 2*x**2 + 8*x + 6. Let a(v) = v**3 + 3*v**2 + 3*v + 4. Let r be a(-3). Is 16 a factor of k(r)? True Suppose 0*h = 2*h - 22. Let i = h - 4. Does 7 divide i? True Let k = -54 + 51. Let u = -3 + 8. Let o = k + u. Is o a multiple of 2? True Let x(w) = w. Let s(c) = -c**2 + 2*c + 7. Let g(b) = s(b) + x(b). Let z be g(5). Let m(u) = u**2 - u + 2. Does 8 divide m(z)? False Let y(x) = 6 - 1 + 4*x - 3*x + 1. Is y(0) a multiple of 3? True Is -2 + 21*28/6 a multiple of 16? True Suppose -5*f - 3 = l, 4*f + 9 + 3 = -4*l. Suppose 4*x = 4*v + x - 3, -4*v - 2*x + 18 = f. Suppose 0*g = v*g - 45. Is g a multiple of 9? False Let b = 69 + -40. Is b a multiple of 9? False Suppose 5*h - 242 = -4*x + 250, 3*x = -4*h + 370. Does 31 divide x? False Let b(x) = 10*x + 8. Let v be b(7). Suppose l = -2*l + v. Is l a multiple of 7? False Suppose 0 = -0*w - 3*w + 90. Let g = w - 15. Is g a multiple of 12? False Let q(p) = p**3 + 6*p**2 - 3. Let b be q(-6). Is 18 a factor of 4/6 - 82/b? False Let t(a) = a**3 - 3*a**2 - 4. Let g be t(3). Let d(r) = -r + 1. Let p(m) = -m**2 - 5*m - 1. Let x(b) = 2*d(b) - p(b). Does 7 divide x(g)? True Suppose 0 = 5*k - 2*s - s - 120, 0 = -3*k - 4*s + 43. Let m = -9 + k. Is m a multiple of 4? True Let h be 7/2 + 1/(-2). Suppose h = -2*d - d, 0 = 5*s - d - 201. Suppose c - s = 5*v, 3*v - v = -5*c + 173. Is 9 a factor of c? False Suppose 0 = -0*b + 4*b + 2*s - 62, 0 = 4*b - 4*s - 56. Does 15 divide b? True Let i be 2/5 - 53/(-5). Suppose i + 5 = -2*t. Let l(a) = -a**2 - 10*a - 5. Is 11 a factor of l(t)? True Let m(h) = 9*h. Let a = -9 - -13. Does 13 divide m(a)? False Let m(c) = c**2 - 2. Let l = 7 + -11. Is 11 a factor of m(l)? False Let q(z) = z**2 - z - 1. Let u be 1*(5/1 - 1). Let p be q(u). Suppose -36 = -5*j - p. Does 2 divide j? False Let t = 3 + 17. Does 6 divide t? False Suppose 5*z + 0*z = 2*w - 211, 2*z - 3*w + 80 = 0. Let j = z + 115. Suppose s - 5*s = -j. Is 7 a factor of s? False Let o be 1/3*(-3)/1. Let f = 17 - o. Is f a multiple of 18? True Is (4/(-10))/((-5)/375) a multiple of 15? True Suppose 4*d - 2*t = -28, 3*t = 3*d - 0*t + 27. Let k(c) = -3 - 1 - 16*c - 4 + 3. Is 26 a factor of k(d)? False Let i(f) = f - 10. Let h be i(10). Suppose 4*w = -16, -4*t + h*w + 20 = w. Suppose -4*d = b - 5*b - 40, -d - t = -5*b. Does 14 divide d? True Suppose -i = n - 7, 8*n - 4*n = -8. Is 9 a factor of i? True Let a(r) = r**2 - 5*r - 13 - 2*r + 12. Let l be a(6). Let k = 16 - l. Is 11 a factor of k? False Suppose 2*s + x - 32 = 0, -65 = -4*s - s + 5*x. Is 5 a factor of s? True Let j = 59 + -41. Does 8 divide j? False Let f = -7 + 12. Suppose -5*s + 7 = -h - h, -f = -s. Does 2 divide h? False Let s(v) = -9*v**3 + v**2 + 2*v + 2. Is s(-1) even? True Is 46 a factor of (36 - 0)*((-23)/(-3) - 0)? True Suppose -141 = -2*t - 3*a, 5*t = -a + 4*a + 405. Is t a multiple of 13? True Let h be (52/(-16))/((-1)/4). Let i(o) = o**3 - 2*o**2 + o + 1. Let n be i(2). Suppose b + n*b + 3*c = h, 5*b - 19 = -c. Is b even? True Let a(c) = 18*c**2 + 4*c + 2. Let l(o) = 3*o + 1. Let r be l(-1). Does 22 divide a(r)? True Let p = -20 + 60. Is p a multiple of 20? True Suppose -4*s - y + 5*y = -204, 5*y = s - 71. Does 23 divide s? True Let m(z) = -z**2 - 9*z + 6. Let l be m(-7). Suppose 0 = 2*f + 2*f - l. Is 3 a factor of f? False Suppose -5*q = -6*q + 23. Suppose -5 - 20 = -5*w. Suppose 0 = w*t - 32 - q. Does 5 divide t? False Suppose b = -4*b + 5. Suppose -b - 7 = -4*z. Suppose 26 + 18 = z*h. Is h a multiple of 9? False Let k be 1*-4 - -1 - -3. Suppose i + i - 96 = k. Does 20 divide i? False Let u(z) be the third derivative of -z**6/120 - z**5/20 + z**4/6 + 2*z**3/3 - z**2. Let a be u(-4). Suppose -a - 24 = -2*j. Is 7 a factor of j? True Let z = 34 - -11. Let r = z - 23. Does 11 divide r? True Suppose 7 = -3*n + n - j, -3 = -3*j. Let l = n - -20. Is l a multiple of 8? True Let s = -33 - -68. Is s a multiple of 6? False Suppose 4*a = 6*a - 10. Let p(f) = -2*f + 2*f + a*f. Is 3 a factor of p(1)? False Let i = 7 + -2. Let h be (-2020)/(-15) - (-2)/(-3). Suppose 0 = -i*u + h - 24. Is 11 a factor of u? True Suppose 0 = -v - 1 + 5. Let g = v + -2. Suppose -3*a = -4*p - 24, 4*a - 3*p - 31 = g*p. Does 4 divide a? True Let v = 150 + -228. Let l = 110 + v. Is l a multiple of 23? False Let c = 61 + -36. Is 10 a factor of -2 + (-1 - 2) + c? True Suppose -x + 6 = k, 2*k = x + 4*k - 8. Suppose 4*s - x = 4*a, -5*s = -0*s - a - 9. Is 2 a factor of s? True Suppose -4*d - 4 + 12 = 0. Let q(t) = -2*t + 3 - 3*t + 2*t + d*t. Is 3 a factor of q(-3)? True Suppose 5*h - 2 - 4 = -4*b, 3*h + 5*b = 1. Let g(q) = -q**3 + 0*q - 7*q + 1 - 2*q**h + 9*q**2. Is 8 a factor of g(5)? True Suppose -i - 4 = -4*y, 2*y - 5*i + 9 + 7 = 0. Let p be (y/3)/(4/84). Suppose -o + p = o. Is o a multiple of 7? True Let i be 1/(3 + 114/(-39)). Let h = -3 + i. Does 4 divide h? False Let n(h) = h + 14. Let i be n(-14). Suppose i*o - 4*o = -24. Does 2 divide o? True Let s be 2/(-3 + 1) + 3. Is s + -4 + 1 + 64 a multiple of 18? False Let k(p) be the second derivative of p**5/20 - p**4/4 + 2*p**3/3 - p**2 + 3*p. Is k(3) a multiple of 5? True Let n be 1*137 - (-12)/4. Let j = -68 + n. Does 19 divide 3472/j + 2/(-9)? False Suppose 5*c - 34 = 41. Does 15 divide c? True Suppose 0*q - 10 = -2*q. Suppose -q*t - 44 = -154. Is t a multiple of 11? True Let l = 126 - -1. Is 19 a factor of l
{ "pile_set_name": "DM Mathematics" }
a(12) a multiple of 10? True Does 13 divide (-6)/(-432)*-12 + 50894/12? False Let g = 457 + 107. Suppose -l + 0*l = -g. Suppose 0 = 6*d - 366 - l. Is 31 a factor of d? True Let z = 356 + -361. Let w(v) = -4*v**3 - v**2 - 15*v - 56. Is w(z) a multiple of 12? False Suppose 0 = -4*z + g + 9981, 3*g = 2*z - 3275 - 1728. Does 29 divide z? True Suppose 5*g + 3*f - 72 = 0, -4 = -f - 0*f. Suppose 0 = -9*o + g*o - 255. Does 5 divide o? True Let w(p) = -126*p - 514. Is 9 a factor of w(-16)? False Suppose -3060 = 77*l - 94*l. Suppose -19*u = -l - 1872. Is 25 a factor of u? False Let s(r) = r**3 + 7*r**2 + 11*r. Let l be s(-3). Suppose 0 = l*b + 318 - 2208. Is b a multiple of 70? True Let x(u) = 1 + 6 - u**3 - 29*u - 1 - 806*u**2 + 827*u**2. Is x(19) a multiple of 26? False Let x(n) = 10*n**2 - 10*n + 17. Let m(q) = -9*q**2 + 10*q - 17. Let i(h) = -6*m(h) - 5*x(h). Is 13 a factor of i(3)? False Let o(f) = f**2 - 9*f + 18. Let b = 36 + -29. Let r be o(b). Suppose 152 = 6*c - r*c. Is c a multiple of 19? True Let k = 37 + -3. Let a = k + -24. Suppose 1596 = 4*r + a*r. Is 19 a factor of r? True Let p(q) = -q - 109*q**2 + 7*q - 4 + 3 - 5*q. Let h be p(1). Let c = -61 - h. Is c a multiple of 5? False Let m(i) = i**3 + i**2 + 7*i + 35. Let s be m(-3). Is 14 a factor of (s + 36/6)*(1 - -190)? False Let y(j) = 176*j**2 - 765*j + 43. Does 308 divide y(-13)? True Let p(n) = 24*n**2 - 1 - 5*n - 22*n**2 - 4*n. Let q be p(5). Suppose -y = -q*k - 116, -77 = 2*y - 5*k - 309. Is y a multiple of 29? True Suppose 0 = 2*k - 3*k - 5*l - 3, 5 = -5*l. Suppose k*z - 1268 = -5*o, -2*o - z = -6*z - 484. Suppose o - 60 = 8*q. Is 4 a factor of q? True Let m(x) = -14*x**2 - 20*x - 4. Let a(d) = -5*d**2 - 7*d - 1. Let c(v) = 11*a(v) - 4*m(v). Let b be c(-3). Is 335/b - (4 + -1) a multiple of 4? True Let u = -184 - -3121. Is u a multiple of 3? True Let g(w) = 228*w + 3572. Is g(43) a multiple of 32? True Let h be -4 + 1 + -1 + 8. Suppose 4*t - 3*u + 81 = 0, t - h*u = 5*t + 88. Is 24 a factor of (-2408)/t + 4/(-6) + -1? False Let y be ((-782)/(-4) - 0) + 3/6. Suppose -h = 6*h - y. Suppose 4*v + p = 78, 3*p = v - p - h. Is v a multiple of 5? True Suppose 2*t = 6*m - 5*m + 265, -1405 = -11*t - 2*m. Does 2 divide t? False Let j(u) = u**3 + 6*u**2 + 9*u + 14. Let c be j(-5). Does 14 divide c + 1158/8 - 2/(-8)? False Suppose -d = g + 349, 109 = 2*d - 2*g + 795. Let b = d - -562. Is 24 a factor of b? True Let u = 142 + -60. Let c be (6/12)/((-4)/272). Let m = u + c. Is 12 a factor of m? True Let b = -195 - -247. Is 80 a factor of b/39 - (-1091)/3? False Suppose -8720813 = -494*l + 2007385. Is 28 a factor of l? False Let v be (13035/(-44))/15 - (-1)/(-4). Let b(f) = f**3 + 21*f**2 + 4*f - 41. Does 13 divide b(v)? False Let s(x) = -22*x + 15. Let j be s(3). Let g = j - -55. Is 9 a factor of (-68)/(-6)*g*(-6)/(-16)? False Let f(w) = w**2 - 15*w + 3. Let y be f(0). Is 10 a factor of 1*(-5 - (y - 117))? False Suppose 22*y - 119543 = 145889 + 14562. Is y a multiple of 7? False Let q(m) = 2*m - 1. Let n be q(3). Let h(x) = 23*x**2 + 26*x - 5. Let v(f) = 13*f**2 + 13*f - 2. Let k(s) = 4*h(s) - 7*v(s). Is 10 a factor of k(n)? False Let c be (-11 + 12)/((-2)/(-2)). Suppose 0 = 4*p - 2*w - 17 - 5, 2*w = -3*p - c. Let k = p - -3. Is 3 a factor of k? True Suppose 13*t - 10 = 8*t. Suppose t*f + 4 = -4*s, -4*s = -3*f + 2 + 2. Suppose f = -3*z + 2*z + 59. Does 12 divide z? False Suppose 6*x = 45 + 81. Suppose -224 = 20*l - x*l. Suppose -5*t = 4*o - 729, 5*o + t + l = 1109. Is 27 a factor of o? False Let r(p) = 18*p**2 - 28*p + 207. Let j be r(7). Suppose 4*k = z + j, -8*k + 7*k + 4*z + 227 = 0. Is k a multiple of 29? False Suppose -3*i = -16*i + 3185. Suppose i + 7 = 6*a. Does 7 divide a? True Suppose 10*w + 457 = -1783. Does 11 divide w/(-1 - 0 - (-21 - -21))? False Is ((-12)/(-10))/(3/5) - -17251 a multiple of 9? True Suppose 0 = 11*t - 8*t - 9. Suppose 0 = 4*m + b - 33, -2*m + 2*b = -m - 15. Suppose -t*c + m = -9. Is c even? True Suppose 0 = -4*k + 6*d + 33554, -5*k - 52*d = -51*d - 41934. Does 152 divide k? False Let p = 105 + 2178. Let k = p + -1213. Is k a multiple of 13? False Suppose 0 = -5*s + 20, -4*j = 2*s + 3*s - 4912. Let h = j - 23. Is h a multiple of 35? False Let r(u) = 5*u**3 - 12*u**2 + 7*u + 27. Let z(w) = -3*w**3 + 6*w**2 - 3*w - 14. Let l(j) = -4*r(j) - 7*z(j). Let t = 2 - 8. Is 6 a factor of l(t)? False Let a(u) = 58*u - 159. Let z be a(3). Suppose 0 = -z*f + 28*f - 8359. Is f a multiple of 15? False Let b(s) = -11*s + 17. Suppose 0 = v + 3*v - 20. Suppose 2*f - d + 13 = 0, -2*f - v*d = f + 39. Is 21 a factor of b(f)? True Let y be ((-50)/(-60))/(1/6). Suppose 1105 = y*x - 4*c, 24*x - 665 = 21*x + 2*c. Is x a multiple of 45? True Let g = -35 - -40. Let d = 40 + g. Does 15 divide d? True Suppose -2*k + 4110 = -5*i, -3*k + 2233 = -4*i - 3918. Is 3 a factor of k? False Let i be (-27 + 6)/(2 + -3). Let y be 3/(-7) - 8496/i. Let g = 664 + y. Is g a multiple of 37? True Let l(z) = -z + 13. Let g be l(18). Let i be 25*(1*(3 + -4) - g). Suppose i = 3*a - 206. Is a a multiple of 17? True Let n = 395 - 611. Let m = n - -909. Does 11 divide m? True Let y = 177 + -170. Suppose 6*v + 370 = y*v. Is v a multiple of 37? True Suppose -30*x = -3178 - 4472. Is 78 a factor of x? False Suppose 7*b + 9 - 16 = 0. Is b/((-2)/4*1) + 198 a multiple of 14? True Let l(r) = -4*r - 16. Let m be l(-4). Suppose -a + m*t - 4*t + 7 = 0, -t - 2 = -a. Suppose -1 - 2 = 3*y, -a*y = 4*h - 525. Is 33 a factor of h? True Let u be (4 - (-1 - -8))*-48. Suppose 13*f - u = 4*f. Does 8 divide f? True Let c(y) = -2*y**3 + 87*y**2 + 19*y - 2025. Does 123 divide c(37)? False Let z = 4774 - 3610. Is z a multiple of 8? False Suppose -2*m - a = -37956, -196*a + 201*a - 37932 = -2*m. Is m a multiple of 40? False Let r be 3 + (-8 - (3 - 3)) + 391. Suppose 5*c - 666 = 2*w + w, 0 = 3*c + 5*w - r. Is c a multiple of 6? True Suppose 0 = -5*y - 40, y - 792 - 2266 = -2*s. Is s a multiple of 3? True Let l(g) = 2*g**3 + 15*g**2 + 6*g + 14. Let y be (-1 - -2)/((-54)/24 + 2). Is 4 a factor of l(y)? False Let q(y) = -24*y - 230. Let z be q(-11). Is 6 a factor of 2 + (-6491)/(-9) + z/(-153)? False Suppose 86*z + 120 = 81*z. Let f = z + 142. Is 25 a factor of f? False Suppose -2*w + 21 = 3*q, -1 + 12 = q + 2*w. Suppose 208 = 4*x - 4*v, -438 = -q*x - 5*v - 128. Let b = -39 + x. Is 3 a factor of b? True Let i(m) = -37*m + 46. Let g be i(2). Let u(s) = s**2 + 14*s + 108. Is 49 a factor of u(g)? False Let g(f) = 13*f + 75*f + 15*f - f + 5. Is 19 a factor of g(2)? True Let u = -169 + 208. Is (753/(-78) - (-6)/u)*-18 a multiple of 19? True Suppose -3*g + 3*h = g + 555, 2*g + 272 = -4*h. Let a = g + 321. Does 42 divide a? False Let i(a) = -a**2 + 11*a - 10. Suppose -4*w = 3*b - 2, -w = 3*w + 4*b. Suppose 3*q - w*u = 30, 4*u = -16 + 4. Is 11 a factor of i(q)? False Let m(s) = -2*s - 50. Let o be m(-26). Suppose 6*h = -4*g + o*h - 36, -4*g = 5*h + 36. Let w = g - -55. Does 4 divide w? False Let w = 35367 - 29780. Is w a multiple of 11? False Let h be 310/15 - 2/3. Let y be 4/10 + 492/h. Let j = y + -11. Is 14 a factor of j? True Let o = 0 - -4. Let m be (1 + -6)*((-36)/10 + o). Does 4 divide 32 + (-3)/m*(-8)/6? False Suppose 19*m - 2033446 + 582340 = 0. Is m a multiple of 11? False Let x(z) = -z + 1. Let d(j) = -25*j + 13. Let a(h) = -d(h) - 3*x(h). Does 4 divide a(3)? True Let t = -19 + 32. Suppose t = a - 12. Suppose 0 = -24*u + a*u - 96. Is 6 a factor of u? True Let c = 1829 - -790. Is 4 a factor of c? False Let l(c) = c**3 + 15*c**2 + 18*c - 15. Let f be l(-14). Let k = -66 - f. Suppose k*i + 0*a - 4*a - 351 = 0, 16 = -4*a. Is i a multiple of 33? False Let n be 74/6 - 13/39. Let b be (-16)/n + (-2188)/6. Does 24 divide b/(-15) - 2/5? True Suppose 0 = -7*h + 8*h - 17. Suppose h = -d - 5*m, -4*d + 4*m = -0*d - 28. Is 5 a factor of -12*5/(-10)*d? False Suppose 0 = -2*z + 5*x + 201, 2*x - 4*x - 318 = -3*z. Let l = z + 45. Is 21 a factor of l? False Let c(f) = f**2 - 44*f + 855. Does 59 divide c(-88)? False Let t = -37 - -43. Is 5/((t/(-1468))/((-6)/4)) a multiple of 47? False Suppose 84*k - 1 = 83*k, -3*k - 9019 = -2*v. Is v a multiple of 49? False Let t(n) = 10*n - 47. Let l be t(5). Suppose l*m - 3*z = -m + 2094, 5*m - 2618 = 4*z. Is 58 a factor of m? Tr
{ "pile_set_name": "DM Mathematics" }
0) + (11*c + 1062 - 1062)*(-2*c**2 - c + c). -23*c**3 Expand (-5*h + 2*h + 4*h)*(-3 - 2 + 0). -5*h Expand (-6 - 2 + 2)*(-4*m**4 - 2*m**4 + 3*m**4) + 0*m**4 + 0*m**4 + m**4. 19*m**4 Expand (-2 + 2 - 1)*(4*d - 4*d - d)*(-11 + 11 - 4*d). -4*d**2 Expand (c**2 + 0*c**2 - 3*c**2)*(4*c**3 - c**3 - 4*c**3) + 4*c**5 + 0*c**5 - 3*c**5 + 3*c**5 - 4 + 4. 6*c**5 Expand (-2*q + q + 2*q)*(8*q**3 - 95 + 95). 8*q**4 Expand y - y - 9 + y + (0 + 2 - 3)*(2*y - y - 3*y). 3*y - 9 Expand -3*b**3 + 0*b**3 + 4*b**3 + (5 + 2*b - 5)*(3*b - 3*b + b**2) + 0 - b**3 + 0. 2*b**3 Expand (1 + 3*r - 1)*(2*r**2 - 2*r**2 - r**2)*(1 + 1 - 1). -3*r**3 Expand (0 + 0 - 1)*(0*v + v + 2*v)*(-2 + 0 + 0)*(2*v + 3 - 3). 12*v**2 Expand (-w - 5*w + 3*w)*(161*w - 10*w**3 - 161*w) - w**4 + 6*w**4 - 4*w**4 + w**4 + 2*w**4 - 2*w**4. 32*w**4 Expand (-2*u + 0*u + 4*u)*(2 - 4 + 0 - 1 - 1 + 1 + (-3 + 1 + 4)*(0 - 6 + 4) + 5 - 5 - 1 + 2 - 1 + 0 + 3 + 2 - 3). -10*u Expand (1 + 1 - 3)*(5*j**2 + 0 + 0 - 2). -5*j**2 + 2 Expand 2 - 2*x - 2 + (3 + 2 - 3)*(4*x - x - 4*x)*(6 + 1 - 3). -10*x Expand (4*m - 2*m + 0*m + (m + 2*m - 4*m)*(2 - 2 + 2) + 0 + m + 0)*(-8*m + 12*m + 7*m). 11*m**2 Expand 2*l + 4*l - 4*l + (-110 + 110 + 9*l)*(-1 + 0 - 1). -16*l Expand (9*z**3 + 5*z**3 - 6*z**3)*(-z + 2*z + z) + (-1 + 2 - 3)*(-6*z**4 + z**4 + 3*z**4). 20*z**4 Expand (0*j + 2*j + 0*j)*(-2*j + j + 0*j)*(-2 - 2*j**2 + 2). 4*j**4 Expand (-p - p - p)*(1 - 3 + 1) + (-1 - 4 + 3)*(-3*p + 12*p - 2*p). -11*p Expand (2*g**2 - 4*g**2 + 3*g**2)*(1 - 1 + g)*(1 + 7 - 9). -g**3 Expand (-2 - 2 + 2)*(-g - 2*g + g)*(-7 + g + 7). 4*g**2 Expand (18 - 18 + 2*g)*(-6*g - 8 + 8). -12*g**2 Expand z**2 - 6 + 6 + 0*z**2 + 2*z**2 - z**2 + z**2 + 0*z**2 + 0*z**2 + (-2 + 1 - 1)*(-2*z**2 - z + z) + 2*z**2 + 3*z**2 - 3*z**2. 9*z**2 Expand -2*t**3 + 2*t**3 + 2*t**3 + (-2*t**3 - 2*t**3 + 7*t**3)*(1 + 4 - 4 + (0 - 5 + 4)*(-1 + 1 - 1)). 8*t**3 Expand 7 + 10 - 16 + 2*t**2 + (-5*t + 5*t - 3*t)*(-t - 4*t + 4*t). 5*t**2 + 1 Expand -2*t + 2*t + t**3 + (3*t - 4*t + 2*t)*(-2 - 2*t**2 + 2) - t**3 - 5*t**3 + 5*t**3 + t**3 + 0*t**3 + 0*t**3 + (-2*t + 0*t + t)*(0*t**2 - t**2 - t**2). t**3 Expand (0 - 2 + 1)*(2*p - p + 5*p) - 2*p - 2*p + 5*p + (-4*p - p + 4*p)*(-3 + 2 - 1). -3*p Expand (-1 - 3*z**2 + 1)*(-4*z**2 + 1 - 4*z**2 + 0*z**2). 24*z**4 - 3*z**2 Expand 147*c**3 - 122*c**3 + 180*c**3 + (5*c**2 - 2*c**2 - c**2)*(c - 4*c + 2*c). 203*c**3 Expand (0 - 4 + 2 + 2 + 2 - 5 + (1 - 3 + 3)*(0 - 1 + 2))*(0*n + n + n)*(-5*n + 4*n + 2*n). -4*n**2 Expand (-4*v**2 + 3*v**2 - v**2)*(-6 + 4 + 4) + (-2*v + v + 0*v)*(v - v + 5*v). -9*v**2 Expand (z**4 - z**4 - 2*z**4 + 0*z**2 + 0*z**2 + 2*z**4 + (0*z**2 + 2*z**2 - z**2)*(3*z**2 + z**2 - 5*z**2) + 6*z**4 - 4*z**4 + 0*z**4)*(-2 + 2 + 2). 2*z**4 Expand (0 - 1 + 2)*(-z**2 + 4*z**2 - z**2) + (-2*z + 3*z - 2*z)*(3*z + z - z) + 2*z**2 + 0*z**2 + 0*z**2. z**2 Expand (1 - 3 + 11)*(2 + 0 - 4)*(0*w + 0*w - w). 18*w Expand (3*u - u - u)*(536 - 536 - 4*u**4 - 3*u**3 - 4*u**2). -4*u**5 - 3*u**4 - 4*u**3 Expand (-9 + o - 2*o + 10)*(1 + 1 - 1)*(0 - 1 + 4 + (5 - 3 - 3)*(-2 - 3 + 2)). -6*o + 6 Expand (9*x + 6*x - 7*x)*((1 + 2*x - 1)*(-4 + 4 + 2) + 2*x + 1 - 1). 48*x**2 Expand -3*p + 3*p + p + (-2 - 3 + 3)*(p - 4*p - 3*p). 13*p Expand (0 + 0 + i**2)*(-3 + 3 - 2*i**2) - 22*i**4 + 0*i**4 + 0*i**4 + (-i**3 + 7*i**3 - 4*i**3)*(3 - 3 + i) + (2*i**3 + 0*i**2 + 0*i**2)*(i - i - 2*i). -26*i**4 Expand ((-f + 0*f - f)*(2*f + 0*f - 4*f) + 2*f**2 + 1 - 1)*(-43*f - 20 + 20). -258*f**3 Expand (2*u + 0*u + 0*u + 2*u - u - 2*u + (-4*u + 4*u + u)*(0 + 2 - 3) - u - 2*u + u)*(-1 + 4 - 2)*(4 - 4 + 2*u**2). -4*u**3 Expand (3*t - 2*t + 0*t)*(-9*t**2 + 9*t**2 - 2*t**3) - 3*t**4 - 1 + 1. -5*t**4 Expand 3*b**2 - b**2 - b**2 + (3*b - 3*b - 2*b)*(-b - 3*b + 2*b) - 3*b**2 - 3*b**2 - b**2. -2*b**2 Expand ((2 - 3 + 2)*(2*b + b - b) - 4 + 4 + b - 3 + 2*b + 3)*(-6*b**2 + 9*b**2 - 11*b**2). -40*b**3 Expand 0*k**3 + 2*k**3 - 8*k**3 + (4 - 4 - 2)*(k**3 - 5*k**3 + 2*k**3) + 2*k**2 - 2*k**2 - 2*k**3 + 2*k - k**3 - 2*k. -5*k**3 Expand -2*l**5 + 0*l**5 + 3*l**5 + (3*l - 4*l - l)*(-l**4 - 5*l**4 + 3*l**4) + 3*l**5 + l**5 - 2*l**5. 9*l**5 Expand 2*l - 3*l + 2*l + (1 + 2*l - 1)*(-37 + 22 + 20). 11*l Expand (3*o**3 - 5*o**2 + 5*o**2)*(2*o + 0*o - 3*o) + (-3*o**2 - o**2 + 3*o**2)*(7 + 6*o**2 - 7). -9*o**4 Expand -4*h**2 - h**4 + 4*h**2 - 3*h**4 - h**4 + 3*h**4 + (-h**4 + h**3 - h**3)*(2 + 1 - 1) + 0*h**2 + 2*h**4 + 0*h**2. -2*h**4 Expand 4*k - 4*k - 2*k**2 - k**2 + 3*k**2 + 0*k**2 + (3*k + k - 2*k)*(0 + 0 + k) + 3*k**2 + 0*k**2 + 0*k**2 - k**2 + 2*k**2 + k**2. 7*k**2 Expand (-12*a + 24*a + 18*a)*(2*a + 3*a - 3*a) - a + a - 2*a**2. 58*a**2 Expand (-z - 2*z + 6*z + (-2*z - 2*z + 3*z)*(4 - 2 - 3))*(-3*z - 6*z + 0*z)*(-5 + 3 + 1 + 1 - 4 + 4 + (0 - 3 + 2)*(5 - 3 + 0)). 72*z**2 Expand 26*r**2 + 28*r**2 - 17*r**2 + (-6*r + 5*r + 4*r)*(-2*r + 1 - 1). 31*r**2 Expand -3*y**5 + 2 - 4*y + 4*y + 2*y**5 + 2*y - 2*y + 6*y**5 - 2*y**5 - 3*y**5 + (y**3 - 4*y**3 + 5*y**3)*(y**2 - 3*y**2 + y**2) - 4*y**3 + 4*y**3 - y**5. -3*y**5 + 2 Expand q - q - q**5 + (7 - 7 + 18*q)*(2*q - 2*q - q**4). -19*q**5 Expand -2*v**2 + 2*v**2 - v**2 + (-3 + 2 + 2)*(3*v**2 + 2*v**2 + 0*v**2). 4*v**2 Expand (2*j**3 + 1 - 1)*(13 + 8*j - 13) + (-2*j + 0*j + 4*j)*(j**3 + 3*j - 3*j). 18*j**4 Expand (-2*d - 2*d + 0*d)*(-d**4 - 9*d**3 + 9*d**3). 4*d**5 Expand -3*h - 2*h - 2*h**4 + 0*h + (4*h**2 + 3*h**2 - 6*h**2)*(2*h - 2*h - h**2) - 3*h**4 - 2*h**4 + 3*h**4. -5*h**4 - 5*h Expand (3*q**4 - 1 + 1)*(2*q + 2 - 2 + (-q + q - 2*q)*(2 - 2 + 1) - q + 0 + 0 + 3*q - 3*q - 3*q - 3*q + 0*q + 2*q). -15*q**5 Expand (-2*n + 3 - 3)*(3 - 3 + 4) + (0*n + n + 0*n)*(-1 + 2 + 0). -7*n Expand (-d**2 + 2*d**2 + d**2)*(-32*d + 32*d + 5*d**2)*(-4*d - 4 + 4). -40*d**5 Expand -2*h**3 + 3*h**3 + h**3 + (26 - 7*h - 26)*(3*h**2 + 2*h**2 - h**2). -26*h**3 Expand (-3 + 3 - 2)*(-3 - p + 3) + 2*p - 4*p + p + 19*p - 16*p + 15*p. 19*p Expand ((0 + 1 + 1)*(0*u + 4*u - 6*u) - 5*u + 4*u - u)*(-3 + 1 + 3). -6*u Expand (0 - 2 + 0 - h)*(2*h**4 - h**4 - 4*h**4). 3*h**5 + 6*h**4 Expand (2*t - t + 0*t)*(-3*t + 0*t + t)*(-6 + 5 - 2). 6*t**2 Expand -13 - 83*i**3 + 84*i**3 - 42 + 0*i - 2*i**3 + 0*i + (4 - i**2 - 4)*(-3*i + 4*i + 0*i). -2*i**3 - 55 Expand (-1 + 1 - 2*c**2 + (-c + c + 2*c)*(-3*c + 0*c + 2*c))*(6*c - 5*c**2 - 6*c). 20*c**4 Expand ((4*l + 0*l - 3*l)*(0 + 5 - 2) - 1 + 0 - 6*l + 5*l)*(4*l**4 + 0*l**4 - 3*l**4). 2*l**5 - l**4 Expand (-3*k + 0*k + k)*(4*k**2 + k**4 - 4*k**2) - 2*k**5 + k**5 - 2*k**5. -5*k**5 Expand 6*u**2 + 9 - 9 + (-u**2 - 3*u**2 + 2*u**2)*(0 + 1 - 3) - u**2 + 4*u**2 - 5*u**2 - u**2 - 2*u**2 + 5*u**2 - 4*u + 4*u - 2*u**2 - 2*u**2 + 3*u**2 + u**2. 10*u**2 Expand -2*t + 4 - 4 - t - t + 0*t + (-1 + 6 - 7)*(-3*t + 0*t + 4*t). -6*t Expand (-13*l**2 - 48 + 48)*(-1 - 2 - 1)*(2*l + 3 + 0 - 2). 104*l**3 + 52*l**2 Expand (-4*w + 0 + 0)*(-w**4 + 0*w**4 + 0*w**4) + 4*w**5 + 2*w**3 - 2*w**3. 8*w**5 Expand (3*w - 5*w + 8*w)*(3 - 2 + 4 + w**3). 6*w**4 + 30*w Expand (0*n**4 - 5*n**4 + 3*n**4)*(-4*n + 5*n - 3*n + (-2*n - 2*n - 3*n)*(0 - 1 - 1)). -24*n**5 Expand 0 + 0 + 3*x**2 + (7*x - 5*x - 11*x)*(1 + 1 + 0)*(x + 3*x - 3*x). -15*x**2 Expand -2*c + 1 - 1 + (2*c - 2*c - c)*(0 + 0 + 2) + 0*c + 0*c + c. -3*c Expand -1 - 2*w + 1 + (3*w - 2*w - 3*w)*(-3 - 1 + 1) + (2 - 2 - 3)*(-w + 0*w + 3*w). -2*w Expand ((0 - 1 - 1)*(-3*s + 6*s + 0*s) + (3*s - s - s)*(-1 + 0 + 0) - 2 + 2 + 4*s)*(-4*s**2 + 2*s**2 - 2*s**2). 12*s**3 Expand (-4*n + 4*n + 2*n)*(7*n**2 + 9*n**2 + n**2)*(-6 + 3 + 1) + n**3 - 3*n**3 + 4*n**3 + (-2*n**3 - 1 + 1)*(-3 - 1 + 3). -64*n**3 Expand (-1 + 1 - 4)*(5*g + 0*g + 0*g)*(3 - 7 + 2). 40*g Expand (0 + 2 + 0)*(-5*t - 2 + 2)*(t**4 + t**3 - t**3). -10*t**5 Expand (t - t - 3*t)*(-2 + 6 - 2). -6*t Expand (0*c - 1 + 0*c + c**2 - 2*c)*(4*c**3 - 2*c**3 - c**3). c**5 - 2*c**4 - c**3 Expand (1 - m + m + 3*m**4)*(3 - 1 + 1). 9*m**4 + 3 Expand (-i + 2*i + 0*i)*(1 - 1 + 2*i) + (14 + 13 - 12)*(-2*i**2 + 1 - 1) + i**2 + i**2 - i**2. -27*i**2 Expand (-5*b - 2 + 2)*(-4*b - 3*b + 4*b). 15*b**2 Expand -2*y**2 + y**2 + 0*y**2 + (-2*y - y + y)*(-3*y + 2*y + 2*y). -3*y**2 Expand (-2 + 1 - 1)*(-3*f + 15 + 7 - 23). 6*f + 2 Expand (0 + 2 - 1 + (-4 + 0 + 5)*(-2 - 2 + 2))*(2*b + b**4 - 2*b). -b**4 Expand (-k - k + k)*(6*k + 11 - 11) + (k - k + k**2)*(-5 - 1 + 4). -8*k**2 Expand (b + 2*b**2 - 2*b +
{ "pile_set_name": "DM Mathematics" }
is bigger: i or 0? 0 Let u(k) = 4*k. Let q be u(-2). Let l = q + 12. Suppose d + 33 - 8 = 4*n, -l*d - 3*n = 5. Do -5 and d have the same value? True Let x = -0.8 + 1. Let n = 4 - 18. Let z = -16 - n. Which is smaller: x or z? z Suppose 0 = -9*w + 16 + 164. Which is smaller: 21 or w? w Let v = -70 - -50. Let z be 4/(8/v*-5). Which is smaller: 3/4 or z? 3/4 Let f be (0 - (-4)/(-2))/((-263)/(-1)). Which is smaller: 1 or f? f Let m be -5*((-3)/5 - -1). Let p be (2/(-7))/((-2)/14). Let u be (2/(-6))/(p/12). Is m != u? False Let j be (-11)/3 - (-2)/3. Let k be j/3 - 1/(-1). Let c be (2/(-6))/(2/6). Which is greater: k or c? k Let y = 28 + -55/2. Let k = -2 - -1. Which is greater: k or y? y Suppose 5*a + 4*z + 18 = 48, 5*a - 2*z = 60. Is a greater than or equal to 10? True Let d(n) = -12*n**2 + n - 1. Let t be d(1). Let i be t/(-78) + (-24)/(-13). Is i smaller than 3? True Let c = -0.3 + 0.4. Let l = c - 0. Do l and -2/21 have the same value? False Let g(c) = 7*c - 1. Let a be g(-1). Let p = 7 + a. Is p < -1? False Suppose -u = 2 - 7. Suppose u*i - i = 12. Suppose -5*y + 8 = i. Which is smaller: -2/7 or y? -2/7 Let m be (3/(-4))/(21/(-2)). Let f(w) = w. Suppose 5*s + 5*x = 0, -3*s + s - 4*x + 2 = 0. Let q be f(s). Which is smaller: m or q? q Let d(t) = -t**2 + 1. Let k be d(-1). Suppose k = 2*l - 0*l + 5*n + 8, n + 16 = -4*l. Is -4 greater than l? False Let d = 3 + 2. Are d and 4 unequal? True Let d(w) = w**2 + 6*w - 6. Let t be d(-7). Suppose -n - 4 - t = 0. Let h be (-6)/(2 + n) - 2. Which is smaller: h or 0.1? h Let x = -3 - 0. Which is bigger: x or -1? -1 Let i = 81 - 62. Does 19 = i? True Let a be 89/(-249) + (-5)/(-15). Is a at most as big as 0? True Let k be 0/((-1)/2*-2). Let m = k - -1. Let b be 44/(-12) - 0 - -4. Is m at most as big as b? False Let d = 27 + -16. Let p = -11 + d. Which is bigger: p or -1? p Let s(z) = 2*z**2 + 23*z - 22. Let x be s(-12). Is x greater than or equal to -10? True Let f be ((-3)/102)/(2/16). Is 1 equal to f? False Let m be (-13)/(-3) + (-16)/(-24). Suppose -k = -m*y - 4, k - 5 + 1 = -3*y. Let x(j) = -j**3 + 3*j**2 + 3*j. Let q be x(4). Is y smaller than q? False Suppose 4*k - 2*k - 42 = 0. Suppose -19 = -3*q + 4*m, 0 = -0*q + q - 5*m - k. Are 0 and q unequal? True Let a(f) = f**2 - 1. Let g be a(2). Suppose 8 = -4*p + 4*c, g*p - 5 = 5*p - c. Let q be (p/2)/((-3)/6). Are q and 4 equal? False Suppose 2*y + 3*g = -9, -3*y - 3*g - 3 - 3 = 0. Suppose -5*n = -2 - y. Do -1/2 and n have different values? True Let c(b) = -2*b**2 + 7*b - 4. Let f be c(8). Is f at least as big as -76? True Let p be (-4)/8*(-257)/2. Suppose -29 = -4*s + 227. Let j = s - p. Which is bigger: j or 0? 0 Let a = -231/5 - -46. Let o be 30/8 - (-2)/8. Suppose 5*c = o*c. Is c equal to a? False Suppose -3*a + 44 = -a. Let x = a - 8. Are x and 14 equal? True Let m(c) = c**2 + 2*c - 3. Let a be m(-3). Suppose 4*b + a = -4. Let u(k) = k**3 - 14*k**2 + 12*k + 12. Let g be u(13). Is g at most b? True Let c be ((-90)/(-12))/(6/8). Let t be c/4 + (-2)/4. Suppose 16 = 2*p - 0*g - 2*g, p - 5*g - 28 = 0. Is t bigger than p? False Suppose 0 = -4*q + 3*k - 45, 46 - 12 = -3*q + 2*k. Which is bigger: -1 or q? -1 Let w = 83/38 - 13/6. Which is bigger: w or -1? w Let o be ((-1)/3)/1*-12. Suppose 2*w + 17 = p - 2*w, 4*w + 5 = 5*p. Let u = o + p. Which is bigger: u or 0? u Let m(f) = -f - 1 + 3*f**2 + f**3 - 2*f + f. Let b be m(-3). Let z = 5 - b. Which is smaller: z or 2? z Let u = -18 + 22. Suppose -5*j = 3*p + 7, p = -u*j - 0*p - 7. Which is smaller: j or -13/4? -13/4 Let y be (-6 + 2)/(-7 + 10). Let m = 31/12 + y. Which is smaller: m or 0? 0 Let f = -38 - -37. Is f smaller than 1/176? True Let h be -3 + 3 + 4 + -3. Which is greater: h or 0? h Suppose 0 = -y + 4*n - n + 8, 2*n = 2*y - 12. Is y <= 2? False Let p be (-3)/(-1) + -1 + -1. Let o be 15/(-6) - (-1)/(-2). Let j be (6/o + 1)/p. Are -1/2 and j non-equal? True Let g(f) = -2*f - 3. Let u(h) = -5*h - 7. Let r(j) = -9*g(j) + 4*u(j). Let t be r(-1). Which is smaller: -1/8 or t? -1/8 Let o = 2.07 + -0.07. Let v = -2.2 + o. Which is smaller: 0.3 or v? v Let x be -2 - (4 + (-2 - 29)). Is 1/4 < x? True Let k(i) = 2*i**2 - 26*i + 3. Let s be k(13). Are 3 and s unequal? False Let o = -18 - -18. Is o smaller than 0? False Let a = -42395/252 + 3369/20. Let y = a + -14/45. Is -1 less than y? True Let w = -5 - -5. Suppose 5*d = 10, 3*d + 2 = -w*r + 4*r. Is 3 at most as big as r? False Let m be (-6)/(-4)*6/(-9). Which is smaller: m or -2? -2 Let w = 58 - 57.949. Is w smaller than -0.1? False Let u = 0.08 + -0.08. Let q be (-68)/20 + 4/10. Let c = q + 3. Is c less than or equal to u? True Let b be -1 - ((-30)/(-16))/(-3). Which is smaller: 0 or b? b Let h = 515/6 + -85. Is 0 equal to h? False Let c = 0 - -5. Let r be -1 - (-5)/(4 + -3). Do c and r have different values? True Let i = 2 - 1.7. Let z = i - 0.1. Which is bigger: 0.1 or z? z Let j = -171/8 - -21. Is j > 0.5? False Let k(s) = -s**2 + s + 1. Let u be k(-1). Let a be (u - 0)*1*0. Let o be (1 - 0) + a + -2. Is 2/11 greater than or equal to o? True Let x = 6967774/17 - 410002. Let p = -133 - x. Which is smaller: 1 or p? p Suppose -2*t + 2 = -t. Suppose -t*y + 4 = -3*v + 4*v, 0 = 5*v - y + 35. Suppose -4*n + 34 = -3*x, 2*x - 3*x - 26 = -5*n. Is x less than or equal to v? True Suppose 2*l = -2*l + 3*d - 9, 2*d + 2 = 0. Suppose 3 = -o - 0*o. Let t = l - o. Which is smaller: t or 1? t Let p be (2/((-4)/6) - -4)*0. Is p equal to -2? False Let l(q) = -59*q**3 + q**2 + 2*q + 1. Let h be l(-1). Let o = 529/9 - h. Which is bigger: o or 1? 1 Let p = 24 - 8. Let y = p - 15. Which is smaller: y or -3/13? -3/13 Let a be 0*1/(-2) - (-32)/(-32). Is a greater than -1/173? False Suppose 0 = -2*i - 2*g - 8, 0*g - 12 = 2*i + 3*g. Suppose 0 - 4 = -u - 4*x, -4*u + 16 = 2*x. Let c be (-1)/u + (-27)/(-12). Which is bigger: c or i? c Let w = 76 + -74. Are 0 and w nonequal? True Let h = 0.01 - -0.02. Which is greater: -1/4 or h? h Let y = 2.3 + 2.7. Let k = y + -5.1. Which is bigger: 2 or k? 2 Let b = -23/9 - -7/3. Suppose 3*u + 2 = -1. Which is smaller: b or u? u Let f(s) = 5*s - 1. Let i be f(1). Suppose 0*c = -i*c. Is c greater than or equal to 0? True Suppose 2*b + 120 = 6*b. Let y be 1/3 - (-26)/b. Is 0 smaller than y? True Let l = 0.653 + -0.053. Is 4/7 < l? True Let k be ((-45)/10)/(-3)*(3 + -1). Let z be 3/12 - (-5)/4. Which is greater: k or z? k Suppose 0 = i + 6 + 3. Which is bigger: i or -7? -7 Let v be (1 - (-3)/(-9))*-3. Let i be (-2)/(-3) + (-778)/6. Let q = i + 642/5. Which is greater: v or q? q Suppose 5*g = -2*u - 8, u + 7 = 3. Is g greater than 2? False Let v = -4 - 1. Which is greater: -2 or v? -2 Let l = -13 + 71. Is l greater than or equal to 59? False Suppose -3*p = n - 10 - 3, p + 33 = 5*n. Is 9 greater than n? True Suppose 2*d = -4*a - 14, 4*d + 11 = -4*a + 5*d. Let f be (a/10)/((-27)/(-12)). Is f at most as big as -0.3? False Let g = 0 - 10. Which is greater: -8 or g? -8 Let b be (-18)/(-14) - 2/7. Suppose -r = -3 - b. Is 6 >= r? True Let q be 10/(-25) + 26/(-10). Let n be -2 - ((-15)/(-2))/q. Is n at most 1? True Let m = 1802/11 - 164. Let s = 3 - 2. Is s at least m? True Suppose 0 = -3*n - x + 5 - 1, -n - x + 2 = 0. Which is smaller: n or -1/107? -1/107 Let u = 40 + -57. Which is smaller: -15 or u? u Let r = -24 - -2. Let z = r + 13. Are 0 and z equal? False Let m = -66 + 65. Is 1/24 < m? False Let x(z) = -z - 1. Suppose -2 + 13 = -3*y - 4*v, -3*v - 7 = y. Let p be x(y). Suppose -2*m + 5 - 3 = p. Is 1 less than or equal to m? True Suppose 0 = -3*h + h + 2. Is h at most -1/26? False Let a = -27/10 + 31/30. Which is smaller: a or -2? -2 Let r be ((-7)/(-10))/((-2)/(-59)). Let s = -1937/92 - -37/46. Let g = s + r. Is g > -2? True Suppose -4*j + 4 = -4. Let h be j/4*(-18)/(-3). Are h and 4 nonequal? True Let u be ((-16)/876)/(4/(-6)). Which is smaller: 0 or u? 0 Suppose 5*v - v - 2*z = -14, -2*z = 3*v - 7. Which is greater: -0.006 or v? -0.006 Let m be 2/2 + 1 - -6. Let f(b) = -6*b - 2. Let x be f(2). Let l = m + x. Is -5 not equal to l? True Let d(b) = b - 3. Let g be d(0). Let p be 3 + (-22)/(-1 - g). Let m be (-1)/(10/p)*-5. Is m not equal to -4? False Let k(o) = 13*o**2 + 3*o - 21. Let v(a) = -3*a**2 - a + 5. Let h(m) = 2*k(m) + 9*v(m). Let i be h(-4). Is -0.
{ "pile_set_name": "DM Mathematics" }
at is the first derivative of -45661*z - 20854? -45661 What is the second derivative of -1364558*a**2 - 2*a + 9343? -2729116 Find the third derivative of -10*a**5 - 3265*a**4 + 2*a**3 + 227697*a**2. -600*a**2 - 78360*a + 12 What is the second derivative of 1078*d**5 - 2*d**3 + 23*d**2 - 2*d - 704679 wrt d? 21560*d**3 - 12*d + 46 Find the second derivative of -i**3 - 2405*i**2 - 2484524*i wrt i. -6*i - 4810 What is the third derivative of -186307*c**3 - 161666*c**2 wrt c? -1117842 What is the derivative of i*r + 68036*i + 5667*r wrt r? i + 5667 Find the third derivative of 97*g**3*k**3 - g**3*k**2*m**3 + 37*g**3*k*m**3 + 46*g**2*k**3*m**3 + 42*g*k**2*m wrt k. 582*g**3 + 276*g**2*m**3 Find the third derivative of -4353190*p**3 + 5200414*p**2 wrt p. -26119140 What is the derivative of 87265*m**2 - 2*m + 552671? 174530*m - 2 Find the second derivative of 101874*q**5 + 64910*q. 2037480*q**3 What is the third derivative of 48409*j**3 + 3*j**2 - 2*j + 107? 290454 What is the derivative of 1420979*c**2 + 1099974? 2841958*c What is the second derivative of -24675*o*p**3 + o*p - 2792*o - p**3 + 2*p - 1 wrt p? -148050*o*p - 6*p What is the first derivative of -561382*f - 5116446? -561382 Differentiate 47637*l*o**3*t*x + l*o**2*t*x + 175*o**3*t*x + o**3*x - 13*o**2*t + 2*o*x - t*x with respect to l. 47637*o**3*t*x + o**2*t*x What is the second derivative of -143*c**4*m**3 + 24*c**4 - 12*c*m**3 + 449*c*m**2 wrt c? -1716*c**2*m**3 + 288*c**2 Differentiate 4*b*o*z + 2*b*o + 32*b*z**2 - 42*b*z - 336*o + 460*z**2 + z wrt b. 4*o*z + 2*o + 32*z**2 - 42*z Find the third derivative of -94*f**3*k**2*l + 27*f**3*k*l - f**3 + 5*f**2*k**2*l - 24*f**2*k*l - f*l wrt f. -564*k**2*l + 162*k*l - 6 What is the derivative of 627181*p**2 + 252507? 1254362*p Find the second derivative of -139*j**4 + j**3 - 271*j**2 - 414253*j wrt j. -1668*j**2 + 6*j - 542 Find the first derivative of -78751*v**2 + 130945 wrt v. -157502*v What is the first derivative of 2*o**3 - 16*o**2 - 26*o + 6245 wrt o? 6*o**2 - 32*o - 26 Find the second derivative of -229*k**2*w**2 - 13*k**2*w - 6*k*w**2 - 43*k wrt k. -458*w**2 - 26*w What is the third derivative of -56*c**4 - 11*c**3 + 26846*c**2? -1344*c - 66 What is the third derivative of 233148*m**3 + 105831*m**2? 1398888 Find the second derivative of 1831*w**4 + 307*w**2 + 1612504*w + 1. 21972*w**2 + 614 Differentiate 207537*x**2 + 640105 wrt x. 415074*x What is the second derivative of -80250*r**4 + 6601*r wrt r? -963000*r**2 Find the third derivative of -1151*j**3*z + 14*j**3 - 3*j**2*z - 2*j**2 - 928*j*z + 2*z wrt j. -6906*z + 84 Differentiate -85059*z**2 - 4358 with respect to z. -170118*z What is the third derivative of 261443*r**4 - 9*r**3 - 558*r**2 - 80*r wrt r? 6274632*r - 54 Differentiate -85569*h + 143447 wrt h. -85569 What is the derivative of 3*b**2*p**2*v - 4*b**2 - 5*b*p**2 + 23*v wrt v? 3*b**2*p**2 + 23 Find the first derivative of -4*c*r*u + 2*c*r + 16*c*u**2 - 162*c + 3*r*u**2 + 239*r*u - r - 7*u**2 + 3 wrt c. -4*r*u + 2*r + 16*u**2 - 162 Find the second derivative of 22*v**5 + 21865*v**2 + 2*v - 62069. 440*v**3 + 43730 What is the third derivative of 41110*h**3*u**5 + 2*h**3*u**3 + 4*h**3 + h**2*u + 29*h*u**2 + 2*h - 3*u**2 wrt u? 2466600*h**3*u**2 + 12*h**3 Differentiate -4*i**4 + 1594*i**2 - 49630 wrt i. -16*i**3 + 3188*i Find the first derivative of -3*j**3*p*x - 5*j**3*p - 5*j**3 + 4*j*x + 6*p*x - 33*x - 13 wrt x. -3*j**3*p + 4*j + 6*p - 33 Find the third derivative of -824368*g**3 - 233744*g**2 wrt g. -4946208 Find the first derivative of -6267*d**3*x + 3*d*x + 11089*x wrt d. -18801*d**2*x + 3*x What is the third derivative of -3*l*x**4 - 2*l*x**3 + 13*l*x**2 - 2*l*x + 25*x**4 - 400*x**3 + 25*x - 25 wrt x? -72*l*x - 12*l + 600*x - 2400 What is the third derivative of -329813*j**3 + 8*j**2 - 21*j - 1? -1978878 Find the first derivative of -2*n**3 - 834*n**2 + n - 13369. -6*n**2 - 1668*n + 1 Differentiate -1118877*w + 1978909. -1118877 What is the second derivative of -z**5 + 82*z**4 + 134*z**3 + 414673*z? -20*z**3 + 984*z**2 + 804*z Find the second derivative of 285585*y**3 + 1112673*y + 2. 1713510*y Find the third derivative of 1021*i**5*t + 35*i**4*t + 3*i**2 - 29039*t wrt i. 61260*i**2*t + 840*i*t Find the third derivative of 422*m**3*n**6 + 25*m**3*n**4 + 26116*m**3*n**2 wrt n. 50640*m**3*n**3 + 600*m**3*n Find the second derivative of -2262*c**4 - 21*c - 473 wrt c. -27144*c**2 Differentiate 10*i*n**2 + i*n - 4460834*i + 16644*n**2 + n with respect to n. 20*i*n + i + 33288*n + 1 Differentiate -1430*f**3*x - 59*f**3 - 6*x + 140802 with respect to f. -4290*f**2*x - 177*f**2 Differentiate -141*f**2*m - 11*f**2*x - 2*f**2 - 4*f*m*x - 63*f*m + 2*f*x**2 - 23*x with respect to x. -11*f**2 - 4*f*m + 4*f*x - 23 What is the third derivative of -9*r**4 - 29727*r**3 - 88*r**2 + 160*r - 2 wrt r? -216*r - 178362 Find the second derivative of -595636*s**3 + 1418228*s wrt s. -3573816*s Find the second derivative of 271*j**4 + 193*j**3 - j - 26799 wrt j. 3252*j**2 + 1158*j What is the first derivative of -6288*l**3*x**3 - 13*l*x**3 - 141623*x**3 wrt l? -18864*l**2*x**3 - 13*x**3 Find the second derivative of -96*k**3 - 33*k**2 + 364102*k wrt k. -576*k - 66 What is the third derivative of -2945187*m**3 + 1796686*m**2? -17671122 What is the third derivative of -17*h**4 - 5768*h**3 - 6*h**2 + 7003*h + 3 wrt h? -408*h - 34608 Find the second derivative of -756629*f*n*w + 2*f*w**2 - 816212*n*w**2 wrt w. 4*f - 1632424*n What is the second derivative of -211*j**5 + 3*j**4 + 171*j**3 - 2965589*j wrt j? -4220*j**3 + 36*j**2 + 1026*j Find the first derivative of -s**4 - 426*s**3 + 399*s + 429545 wrt s. -4*s**3 - 1278*s**2 + 399 What is the second derivative of 4*w**5 - 1958*w**2 + 37*w - 135? 80*w**3 - 3916 Differentiate 650316*v**2 - 437846. 1300632*v What is the third derivative of -6*a*i**2*n - a*i*n**3 - a*i*n**2 - 2*a*i*n + 37*a*i - 5*a*n**2 + 25982*i**2*n**4 + 16 wrt n? -6*a*i + 623568*i**2*n Find the third derivative of -16*n**4*w + 173*n**4 + 52*n**3 - 133*n**2*w + 3*n**2 + 3118*n*w wrt n. -384*n*w + 4152*n + 312 Find the second derivative of -24078*d**5 - d**4 + 13084*d. -481560*d**3 - 12*d**2 Differentiate -167723*n**4 + 56459. -670892*n**3 Find the third derivative of 13*p*r**2*y**3 - 22*p*r**2*y - 5*p*y**3 - p*y**2 + p - 24*r*y**3 + 2*r - 4*y wrt y. 78*p*r**2 - 30*p - 144*r Find the third derivative of -15815*m**4*x - 31*m**3*x**2 - 1510*m**2*x + 57*m*x**2 + 3 wrt m. -379560*m*x - 186*x**2 Find the third derivative of 79297*a**3*k**2 - 3*a**2*k - 99*a**2 + 79*k**2 wrt a. 475782*k**2 What is the second derivative of -154771*h**2 + 236931*h? -309542 What is the second derivative of 63848*a**2*d**3 + 2*a**2*d**2 + 3*a**2*d + 7*a*d**3 + 24570*a*d wrt a? 127696*d**3 + 4*d**2 + 6*d Find the first derivative of -2*a**3*i - 457*a**2*i + 9*a - 39205*i - 4 wrt a. -6*a**2*i - 914*a*i + 9 Differentiate 6288023*b*c**2 + 27*c**2 - 78*c + 257 with respect to b. 6288023*c**2 Find the first derivative of 455275*w - 69132 wrt w. 455275 Find the first derivative of 182*m**2 - 2712*m - 2407049 wrt m. 364*m - 2712 Differentiate 15*a*w*z - 5*a*w - 272*a*z**3 - 55*a*z**2 + a*z + w*z**3 + 47*w*z**2 + z**3 with respect to w. 15*a*z - 5*a + z**3 + 47*z**2 Find the first derivative of 2*b**3 + 78180 wrt b. 6*b**2 Find the third derivative of 576013*p**5 - 16*p**2 - 286*p - 38 wrt p. 34560780*p**2 What is the third derivative of 38*s**4 - 6*s**3 - 58169*s**2? 912*s - 36 What is the third derivative of -2*j**5 - 2*j**4 + 56*j**3 + j**2 - j - 4369 wrt j? -120*j**2 - 48*j + 336 Find the second derivative of -2*q**5 + 36288*q**3 - 4*q - 1826 wrt q. -40*q**3 + 217728*q Find the second derivative of 1966412*j**2 + 4053375*j wrt j. 3932824 What is the first derivative of -8098*q*s - 2*q - 8*s**2 - 3*s - 14222 wrt s? -8098*q - 16*s - 3 Differentiate 1733154*o**2 - 229374 wrt o. 3466308*o What is the second derivative of 2*d*h**3*k - 356*d*h**3 + 74*d*h*k + 166*d*k - 7*h**3*k wrt h? 12*d*h*k - 2136*d*h - 42*h*k Find the second derivative of 5*o**2*t**2 + 7*o**2*t - 5*o*t - 198768*t**2 - 35*t - 3 wrt t. 10*o**2 - 397536 What is the second derivative of -2*v**4 - 32*v**3 - 15336*v**2 - 1677000*v wrt v? -24*v**2 - 192*v - 30672 What is the derivative of -166515*d**4 + 7481
{ "pile_set_name": "DM Mathematics" }
+ 6*s(y). Differentiate b(z) wrt z. 39 What is the derivative of 2616 + 935*g - 901*g - 1466*g + 2979 - 1494*g wrt g? -2926 Find the third derivative of 2006228*a**6 - 2003665*a**6 - a**3 + a**3 + 5437*a**2 wrt a. 307560*a**3 Let y be -1 + -1*(-1 + 0/(-1)). Suppose y = 2*a + 6*x - x - 15, 2*a + 4*x - 16 = 0. What is the second derivative of -21*n**5 + a*n - 6*n + 8*n + 0*n wrt n? -420*n**3 What is the second derivative of -15 + 15 - 1205*x**2 - 177*x - 521*x**2 + 424*x**2 wrt x? -2604 What is the derivative of 75 - 231 + 702 - 3*f - 24*f**3 - 26*f**3 + 809 wrt f? -150*f**2 - 3 Let h = 103 + -143. Let r = h + 55. Find the second derivative of 5*y - 12*y - y + r*y**2 + 0*y wrt y. 30 Find the third derivative of 1376*t**3 + 2177*t**3 + 749*t - 299*t - 1232*t + t**2 wrt t. 21318 Let l(y) = 11541*y**2 - 30*y + 2066. Let w(k) = -28853*k**2 + 78*k - 5165. Let j(m) = 13*l(m) + 5*w(m). Differentiate j(v) with respect to v. 11536*v Suppose 23*n = 60*n - 185. Find the second derivative of 26*s + 32*s - 30*s**n - 61*s**5 wrt s. -1820*s**3 Let r(b) = 80*b + 13. Let q(c) be the third derivative of -c**4/24 + c**3/6 + 28*c**2. Let l(k) = -4*q(k) - r(k). Find the first derivative of l(g) wrt g. -76 Let t(q) = -11*q + 201. Let b be t(18). Find the third derivative of -184*p**3 + 160*p**b - 3*p**2 - 7*p**2 wrt p. -144 Let x(z) be the first derivative of -1850*z**3/3 - z**2 + 156*z - 2262. What is the second derivative of x(v) wrt v? -3700 Let c = 47 - 26. Let i be (-5)/((-15)/c) - (-1 + 4). What is the second derivative of 8*n**i + 4*n**4 + 0*n**4 - 6*n wrt n? 144*n**2 Let x = 30 + -39. Let o be ((-12)/x)/((-8)/(-36)). What is the third derivative of 11*p**3 - 5*p**3 - 4*p**2 - o*p**2 wrt p? 36 Suppose -16*z = -365 + 125. Let v(c) be the second derivative of 17/6*c**3 + z*c + 0 + 7*c**2. Find the first derivative of v(d) wrt d. 17 Differentiate -622 + 140 + 6170 - 9210*b**3 wrt b. -27630*b**2 Suppose -216*p = -220*p + 40. What is the third derivative of 3 - 5 + 47*m**3 + p*m**3 + m**2 + 7*m**2 - 2*m**2 wrt m? 342 Let t(k) = -3*k**3 - 420*k**2 - 505. Let n(s) = -4*s**3 - 419*s**2 - 514. Let j(b) = 4*n(b) - 5*t(b). Differentiate j(a) wrt a. -3*a**2 + 848*a Let r be (0 + -4)/(5/(-10)). What is the second derivative of -462*c**3 + r + 0*c - 2*c - 27 + 471*c**3 wrt c? 54*c Find the third derivative of 534*z**5 + 895*z**2 + 220*z**5 + 259*z**5 + 103*z**2 wrt z. 60780*z**2 Differentiate -2*o**4 - 14*o**3 + 3336 - 513*o**3 - 453*o**3 - 52*o**3 wrt o. -8*o**3 - 3096*o**2 Let y(p) be the second derivative of 292*p**6/5 - p**3/3 + 46*p**2 + 1348*p. What is the second derivative of y(o) wrt o? 21024*o**2 Suppose 4*q - 8123 = 10153. Find the second derivative of -4569*y**2 - 2*y**5 - 3 - 3*y**3 - 22*y + q*y**2 wrt y. -40*y**3 - 18*y Suppose -3*h - 3*n = -7*n - 29, -3*n = -12. Let d be ((-10)/h)/(4/6)*-5. Find the first derivative of -2*a + 12 - 8*a + 12*a - d*a wrt a. -3 Let b(t) be the second derivative of -4 + 1/6*t**4 + 73/6*t**3 + 28*t**2 - t. Find the first derivative of b(r) wrt r. 4*r + 73 Let l = -120 + 123. Find the second derivative of -2*g**l - 11*g - 11*g + 24*g**3 wrt g. 132*g Let i(j) be the second derivative of 763*j**3/3 + 1311*j**2/2 + 3*j - 394. Differentiate i(l) with respect to l. 1526 What is the first derivative of -22*d**4 - 27*d**4 + 3*d**2 - 32*d**4 - d**2 - 33*d**4 - 685 wrt d? -456*d**3 + 4*d Let g(c) = 1010*c**2 - 334*c - 12. Let o(u) = 6060*u**2 - 2010*u - 68. Let a(x) = -34*g(x) + 6*o(x). What is the second derivative of a(b) wrt b? 4040 Let h(o) be the second derivative of 0*o**5 + 1 - 47/30*o**6 - 77*o**2 + 0*o**4 + 0*o**3 - 3*o. Differentiate h(v) wrt v. -188*v**3 Let q(p) be the third derivative of 12293*p**6/120 + 1033*p**5/5 + 25*p**2 + 104. What is the third derivative of q(f) wrt f? 73758 What is the second derivative of 672*h**5 - 360*h**5 - 315*h**5 - 431*h + 895*h**5 + 1 + 533*h**5 wrt h? 28500*h**3 Differentiate -262*u**2 + 3*u - 6*u - 922 + 223*u**2 + 0*u with respect to u. -78*u - 3 Find the second derivative of -3965*f**2 + 432*f**2 - 6444*f**2 + 15 - 3 + 9*f + 1399*f**2 wrt f. -17156 Let o(r) be the second derivative of 1449*r**5/4 + 1830*r**2 + 6*r - 370. Differentiate o(n) wrt n. 21735*n**2 Let b(x) = 61*x + 46*x + 92*x + 3. Let a(d) = 399*d + 7. Let t(s) = -3*a(s) + 5*b(s). What is the derivative of t(r) wrt r? -202 Let r(y) be the first derivative of 8*y**6/3 - 37*y**2/2 + 15*y - 5. Let d(x) be the first derivative of r(x). Differentiate d(t) with respect to t. 320*t**3 Suppose -2*g + 2*i = 4, 97*g + 2 = 102*g - 2*i. What is the third derivative of 80*c**g + 77*c**2 + 52*c**4 - 2*c**3 + c**5 + 2*c**3 - 37*c**2 wrt c? 60*c**2 + 1248*c Let r(k) be the second derivative of -k + 0*k**2 - 1/10*k**5 + 5/2*k**3 - 1/6*k**4 + 5. Find the third derivative of r(v) wrt v. -12 Let n(r) be the third derivative of 479*r**6/120 + 202*r**3 - r**2 + 2. What is the first derivative of n(x) wrt x? 1437*x**2 Let r(b) be the first derivative of 47*b**4 + 6 + 0*b - 70/3*b**3 + 0*b**2. What is the third derivative of r(i) wrt i? 1128 Let q(w) be the first derivative of -w**6/2 + 71*w**5/5 + 8*w**3/3 + 15*w**2/2 - 2*w - 4148. What is the third derivative of q(u) wrt u? -180*u**2 + 1704*u Let a = -64 + 73. Suppose 3 - a = -3*i. What is the third derivative of -8*j**3 + 160 - 160 + 10*j**i wrt j? -48 Let o(v) be the first derivative of 276*v**5 + 88*v**3/3 + 9*v**2/2 - 759. Find the third derivative of o(t) wrt t. 33120*t Let b = 173 + -46. Suppose -36 = -b*g + 121*g. What is the third derivative of 14*z**6 - 44*z**g - 8*z**6 + 23*z**2 + 0*z**2 wrt z? -4560*z**3 Find the second derivative of 28*q**4 - 132*q**2 - 35*q**4 - 1 + 4113*q + 0 + 1421*q wrt q. -84*q**2 - 264 Let a be (375/(-3))/(-5) + 2. What is the second derivative of -206*w**4 + a - 17 + 21*w - 5 wrt w? -2472*w**2 Let b(r) be the first derivative of -r**4/2 + 121*r**2 + 482*r + 675. What is the first derivative of b(s) wrt s? -6*s**2 + 242 Let f(u) be the third derivative of 3*u**5/5 - 19*u**4/24 + 1699*u**3/3 - 52*u**2 + 33. Differentiate f(z) wrt z. 72*z - 19 What is the second derivative of -275*y**3 + 4356*y**4 + 275*y**3 - 2*y - 2268 wrt y? 52272*y**2 Find the third derivative of -24299539*f + 24299539*f + 1996*f**2 + 696*f**2 - 7517*f**3 wrt f. -45102 Suppose 4*l = -3*k + 20, k + 0*k + 4 = 0. Suppose -23*g + 24 = -11*g. Find the second derivative of -l*o**g - 2*o**2 + 2789*o - 2769*o wrt o. -20 Let z(h) be the third derivative of 0 + 1/4*h**5 + 0*h**7 + 0*h**6 + 0*h**4 + 0*h + 37*h**2 - 5/168*h**8 + 0*h**3. Find the third derivative of z(l) wrt l. -600*l**2 Let k be 10*(1 - 0)*6/12. Let q = 94 - 52. Find the second derivative of -q*c + 5*c**2 + 6*c - 17*c**5 - k*c**2 wrt c. -340*c**3 Let m(b) be the second derivative of -119/12*b**4 + b**2 - 132*b + 0 - 17*b**3. Find the second derivative of m(t) wrt t. -238 What is the derivative of 521 - 926 + 3354 + 3111 - 12237*k wrt k? -12237 Let r be (-830)/(-9) + 2/(-9). Let c be (-16 - -18)*(-19)/(-2). Find the second derivative of 4*b**2 - c*b**2 - r*b + 115*b wrt b. -30 Let s be (0/(0 + -1 + 2))/3. What is the derivative of -103*n**2 + 159 + 6425*n - 6425*n + s wrt n? -206*n Let o be 122/(-6)*(5*-1 + 2). Let d = o - 52. Find the third derivative of -11*w**2 + 3*w**5 + w**5 - 9*w**2 + d*w**2 wrt w. 240*w**2 Let m = -405 - -409. Find the second derivative of 4 + 259*r**4 + 172*r**4 + 4*r - 2*r**4 - 111*r**m wrt r. 3816*r**2 Let j(i) = 2*i**2 - i - 2. Let y be j(3). Let q(f) = f**2 - 11*f - 10. Let n be q(y). Find the second derivative of 0*c**3 + 8*c - 4*c**3 - 7*c**3 + n*c wrt c. -66*c Suppose f + 4 - 21 = 0. What is the first derivative of 54 + f*a**4 + 79 + 14*a**4 + 0 wrt a? 124*a**3 Let h(k) be the third derivative of 337*k**8/336 - k**7/42 + 99*k**4/4 + k**3/3 - 164*k**2 + k. Find the second derivative of h(x) wrt x. 6740*x**3 - 60*x**2 Let j(q) = -8810*q**2 + 5114*q + 42. Let k(x) = -8812*x**2 + 5113*x + 36. Let i(g) = 6*j(g) - 7*k(g). Find the second derivative of i(v) wrt v. 17648 Let w(r) be the third derivative of -r**6/60 - r**5/60 - 101*r**4/6 + 1351*r**3/6 - 41*r**2 + 11*r. What is the first derivative of w(b) wrt b? -6*b**2 - 2*b - 404 Find the second derivative of -144 - 7*l - 3212*l**3 + 995*l**3 + 10372*l**3 - 239 wrt l
{ "pile_set_name": "DM Mathematics" }