, given that -2*k**4 + 1224*k**3 + 141230*k**2 - 316524*k - 3446928 = 0.
-101, -4, 6, 711
Factor b**2/2 + 135287*b/2 - 135289.
(b - 2)*(b + 135289)/2
Suppose 3*h**5 - 2937354*h**4 + 719004043434*h**3 + 8812056*h**2 - 2157006255621*h - 1438008086886 = 0. Calculate h.
-1, 2, 489559
Determine k so that 46201*k**5/6 + 577*k**4/2 - 5*k**3/3 = 0.
-2/47, 0, 5/983
Factor -2*h**2 + 36510302*h/3 - 4056700.
-2*(h - 6085050)*(3*h - 1)/3
Find n, given that -2*n**2 + 38224*n - 2324222 = 0.
61, 19051
Suppose -9759408*w**2 + 214706979*w - 66 = 0. What is w?
1/3253136, 22
Solve m**2/4 + 3838520*m + 14734235790400 = 0 for m.
-7677040
Find r such that r**2 - 50134081*r = 0.
0, 50134081
Let -46813*v**2/4 - 234179*v/4 - 285/2 = 0. Calculate v.
-5, -114/46813
What is m in -3*m**3 + 2565033*m**2 - 5130057*m + 2565027 = 0?
1, 855009
Suppose -2*g**3 + 147426*g**2 + 4424130*g + 33184350 = 0. What is g?
-15, 73743
Find n such that n**3/3 - 63*n**2 + 44*n + 10528/3 = 0.
-7, 8, 188
Factor -a**2/9 - 2321*a/9 - 813130/9.
-(a + 430)*(a + 1891)/9
Suppose -3*r**4/5 - 4203*r**3/5 - 2047347*r**2/5 - 383701773*r/5 - 18040725234/5 = 0. What is r?
-478, -427, -69
Factor l**3 - 60730*l**2 - 1397343*l + 1458072.
(l - 60753)*(l - 1)*(l + 24)
What is f in 4*f**2 - 526068*f - 45271432 = 0?
-86, 131603
Solve -2*y**5/5 + 8766*y**4/5 + 52754*y**3/5 - 376854*y**2/5 - 2632896*y/5 - 2212056/5 = 0.
-6, -1, 7, 4389
Factor 4*c**4 + 36*c**3 - 424*c**2 - 3360*c.
4*c*(c - 10)*(c + 7)*(c + 12)
Factor -3*o**4 - 1134*o**3 + 778716*o**2 - 86487528*o.
-3*o*(o - 194)**2*(o + 766)
Determine u, given that -u**5/4 + 6561*u**4/4 + 27961*u**3 - 29601*u**2 = 0.
-18, 0, 1, 6578
Factor -3*z**3/8 - 25089*z**2/8 + 3043935*z/2.
-3*z*(z - 460)*(z + 8823)/8
Factor 2*j**2 - 79490*j + 12115152.
2*(j - 39592)*(j - 153)
What is d in 2*d**2/5 - 14429548*d + 72147738/5 = 0?
1, 36073869
Factor x**3 - 113002*x**2 + 3189196593*x + 178949559096.
(x - 56529)**2*(x + 56)
Determine t so that 2*t**2 + 31784*t - 254491776 = 0.
-21744, 5852
Find q, given that 7*q**2/5 - 9647*q/5 - 73014 = 0.
-258/7, 1415
Solve 3*g**3 - 28176*g**2 - 38300937*g - 76489146 = 0 for g.
-1203, -2, 10597
Solve -c**4 - 21202*c**3/5 + 32281*c**2 - 80726*c/5 - 59472/5 = 0.
-4248, -2/5, 1, 7
Find y, given that -2*y**5 - 7518*y**4 - 2865372*y**3 - 280271972*y**2 + 1759809630*y - 2679006654 = 0.
-3343, -211, 3
Factor -2*p**3/5 + 1090016*p**2/5 - 148514679976*p/5 - 594076160288/5.
-2*(p - 272506)**2*(p + 4)/5
Factor -6125*q**2 - 7870*q + 8760.
-5*(q + 2)*(1225*q - 876)
Solve -2*i**5/9 + 62272*i**4/9 + 6938456*i**3/9 - 50686156*i**2/9 + 36684686*i/3 - 7374292 = 0.
-118, 1, 3, 31247
Factor 25*r**3 + 217820*r**2 + 174235*r - 43560.
5*(r + 1)*(r + 8712)*(5*r - 1)
Find d, given that 2*d**4/3 + 438*d**3 - 106156*d**2/3 + 103080*d - 204400/3 = 0.
-730, 1, 2, 70
Factor -2*y**3/5 - 129136*y**2/5 + 7494934*y/5 - 108700932/5.
-2*(y - 29)**2*(y + 64626)/5
Solve -3*o**3/7 + 29997*o**2/7 + 480636*o/7 + 120180 = 0 for o.
-14, -2, 10015
Solve -x**3/3 + 6028382*x**2/3 - 9085449866108*x/3 + 308898326677384/3 = 0.
34, 3014174
Determine j, given that 2*j**5/3 + 1728*j**4 + 86324*j**3 - 533504*j**2/3 + 89782*j = 0.
-2541, -53, 0, 1
Determine w so that 5*w**3 - 32000*w**2 - 3647285*w + 3679280 = 0.
-113, 1, 6512
Factor 4*y**2 - 74734448*y + 349077357366544.
4*(y - 9341806)**2
Find m, given that -44*m**5 + 2316*m**4 + 139756*m**3 - 242748*m**2 - 536432*m - 156288 = 0.
-37, -1, -4/11, 3, 88
Factor -128199*o**2/4 - 128193*o/4 + 3/2.
-3*(o + 1)*(42733*o - 2)/4
Find b, given that -15*b**3/4 + 695699*b**2/2 - 1391353*b + 1391338 = 0.
2, 1391338/15
Let -18*l**5 + 39273*l**4 + 759651*l**3 - 673389*l**2 - 257577*l + 132060 = 0. Calculate l.
-20, -1/2, 1/3, 1, 2201
What is q in -2*q**3/5 - 3648*q**2/5 - 483538*q/5 - 1967940 = 0?
-1682, -117, -25
What is w in -w**3 + 764*w**2 - 145503*w + 429660 = 0?
3, 341, 420
Factor 4*v**2/3 - 5348*v - 37567504/3.
4*(v - 5668)*(v + 1657)/3
Factor 4*k**2 - 12728*k + 859188.
4*(k - 3113)*(k - 69)
Find h such that h**2 + 53641*h - 751170 = 0.
-53655, 14
Solve 104*y**4 + 5636*y**3 + 60880*y**2 + 190588*y + 34440 = 0.
-41, -7, -6, -5/26
Factor 3*q**3/5 + 18096*q**2/5 + 36171*q/5 - 10854.
3*(q - 1)*(q + 3)*(q + 6030)/5
Factor -3*n**2 - 53924076*n - 242317164371148.
-3*(n + 8987346)**2
Suppose 4*x**2 - 1873388*x - 18734280 = 0. Calculate x.
-10, 468357
Let 2*n**5/3 + 119854*n**4/3 + 519278*n**3 + 4193882*n**2/3 - 5871572*n/3 = 0. Calculate n.
-59914, -7, 0, 1
Find q, given that 2*q**2/7 - 16649672*q/7 + 34651447213448/7 = 0.
4162418
Suppose -z**2/6 + 184631*z/6 + 184633/3 = 0. Calculate z.
-2, 184633
Factor -p**3 - 28718066*p**2 - 206181771258945*p + 824727544524900.
-(p - 4)*(p + 14359035)**2
Determine c so that -3*c**4/5 + 4917*c**3/5 - 1990791*c**2/5 + 47445951*c + 239225466/5 = 0.
-1, 269, 1102
Suppose 2*v**5/9 + 518*v**4/3 - 5366*v**3/3 - 278626*v**2/9 + 818480*v/3 = 0. What is v?
-787, -13, 0, 8, 15
Suppose -i**3 - 30404*i**2 + 517141*i - 486736 = 0. Calculate i.
-30421, 1, 16
Find x, given that x**3/2 - 649*x**2/2 + 4469*x - 15240 = 0.
6, 8, 635
Factor -5*j**4 + 19755*j**3 - 24816000*j**2 + 9612800000*j.
-5*j*(j - 1600)**2*(j - 751)
Determine i, given that 4*i**2 + 17463784*i + 19061484474916 = 0.
-2182973
Let -21*j**5/5 + 3894*j**4 + 740577*j**3/5 + 5349102*j**2/5 + 9423648*j/5 - 1457568/5 = 0. Calculate j.
-28, -6, -3, 1/7, 964
Factor 15*y**3 + 1623*y**2 + 1845*y - 8667.
3*(y + 3)*(y + 107)*(5*y - 9)
Suppose 3*x**4 + 2616*x**3 - 241425*x**2 - 490686*x - 246648 = 0. Calculate x.
-956, -1, 86
Determine m so that -3*m**4 + 84*m**3 - 252*m**2 - 864*m = 0.
-2, 0, 6, 24
Suppose 2*w**4 + 2922*w**3 - 8828*w**2 - 64368*w + 70272 = 0. Calculate w.
-1464, -4, 1, 6
Find v such that 3*v**2/4 + 46884293*v/4 + 15628097/2 = 0.
-15628097, -2/3
Solve 2*u**2/5 + 845854104*u/5 + 89433645656705352/5 = 0.
-211463526
Solve -4*w**5/3 + 2900*w**4/3 - 486661*w**3/3 - 1479614*w**2/3 - 1113167*w/3 - 247694/3 = 0 for w.
-2, -1/2, 271, 457
Find j such that 5*j**3 + 19880*j**2 - 21529820*j + 42980080 = 0.
-4862, 2, 884
Determine u, given that 4*u**5 - 1417*u**4 + 132230*u**3 - 1140704*u**2 - 6212640*u = 0.
-15/4, 0, 14, 172
Suppose 2*p**2/9 + 1806356*p/9 + 407865249842/9 = 0. Calculate p.
-451589
Factor c**2/3 - 845900*c/3 + 845899/3.
(c - 845899)*(c - 1)/3
Suppose 2*b**3/9 - 296*b**2 - 79718*b/9 + 353860/3 = 0. What is b?
-39, 10, 1361
Suppose n**4 + 7983*n**3 + 254292*n**2 - 1112996*n + 1144944 = 0. Calculate n.
-7951, -36, 2
Let -502560973686875*c**4/3 - 65835584833306750*c**3/3 - 4247909666400*c**2 - 274088070*c - 5895 = 0. What is c?
-131, -3/46495
Factor -35*r**2 - 97295140*r + 83395860.
-5*(r + 2779862)*(7*r - 6)
Let 4*s**4 - 1463128*s**3 + 133803786900*s**2 - 1337904727632*s + 1204102403856 = 0. Calculate s.
1, 9, 182886
Solve g**5 + 1054*g**4 + 66061*g**3 - 67116*g**2 = 0.
-987, -68, 0, 1
Find s such that 3*s**2 + 129948480*s + 1407217287859200 = 0.
-21658080
Let -19*c**3/11 + 5018198*c**2/11 - 331345407220*c/11 - 104635892184/11 = 0. Calculate c.
-6/19, 132058
Let -5*n**5 + 31660*n**4 + 31680*n**3 - 94970*n**2 - 158315*n - 63330 = 0. What is n?
-1, 2, 6333
Let 4*b**3 - 81996*b**2 + 476453280*b - 555648836288 = 0. What is b?
1547, 9476
Solve -44349362*b**4/11 + 17429336938*b**3/11 - 202780088168*b**2/11 + 172239528*b/11 - 36576/11 = 0 for b.
2/4709, 12, 381
Factor a**3/5 - 8992*a**2/5 - 324684*a/5 - 2925072/5.
(a - 9028)*(a + 18)**2/5
Solve z**2/2 - 59397543*z + 3528068114436849/2 = 0 for z.
59397543
Factor -2*v**2/3 + 322214*v + 4833360.
-2*(v - 483336)*(v + 15)/3
Suppose -o**3/3 + 34066*o**2/3 - 102161*o/3 - 953764/3 = 0. Calculate o.
-4, 7, 34063
Factor -5*s**2 + 289385*s - 868110.
-5*(s - 57874)*(s - 3)
Factor 18*d**4 + 34932*d**3 + 22047194*d**2 + 4948071224*d + 361158205832.
2*(d + 179)**2*(3*d + 2374)**2
Factor -n**3 - 69517043*n**2 - 1208154782107440*n + 1208154851624484.
-(n - 1)*(n + 34758522)**2
Find f such that -45*f**2 - 1064200*f + 3311280 = 0.
-23652, 28/9
Let 5*s**3 + 180280*s**2 - 1081835*s + 901550 = 0. Calculate s.
-36062, 1, 5
Determine q, given that 76*q**2/3 + 193576*q/3 + 3396 = 0.
-2547, -1/19
Suppose -42*k**4 - 2539407*k**3 + 96361452*k**2 - 910405083*k - 65521500 = 0. What is k?
-60500, -1/14, 19
Let 2*l**2 + 11296*l + 8368334 = 0. What is l?
-4771