 -2, 1, 2
Find i such that -14*i**5/15 - 118*i**4/3 + 18508*i**3/5 + 236984*i**2/15 + 263888*i/15 + 11008/5 = 0.
-86, -2, -1/7, 48
Factor 2*n**2/9 - 1976*n/9 - 75712/3.
2*(n - 1092)*(n + 104)/9
Solve 3*r**5/2 - 171*r**4 - 2316*r**3 + 5976*r**2 + 9240*r - 21168 = 0.
-14, -2, 2, 126
Factor -h**3/3 + 4627*h**2/3 - 9251*h/3 + 4625/3.
-(h - 4625)*(h - 1)**2/3
Factor 2*n**3 + 66184*n**2 + 547341626*n - 3286432812.
2*(n - 6)*(n + 16549)**2
Let 96*d**3 - 546984*d**2 + 820395*d/2 - 153819/2 = 0. Calculate d.
3/8, 5697
Determine o, given that -5*o**4 - 270*o**3 - 1445*o**2 + 9900*o + 23500 = 0.
-47, -10, -2, 5
Factor -s**4/2 + 1199*s**3 - 2397*s**2/2.
-s**2*(s - 2397)*(s - 1)/2
Factor h**3/9 + 1000*h**2/9 + 30007*h/9 - 10336/3.
(h - 1)*(h + 32)*(h + 969)/9
Let 3*i**5/5 - 1293*i**4/5 + 30393*i**3 - 534435*i**2 + 504300*i = 0. Calculate i.
0, 1, 20, 205
Suppose -d**2/4 - 6265*d - 39250225 = 0. What is d?
-12530
Let j**3/2 + 373*j**2/2 + 1284*j + 1098 = 0. Calculate j.
-366, -6, -1
Factor i**2/4 + 9761*i/2 + 95277121/4.
(i + 9761)**2/4
Let 3*c**3 + 159*c**2/4 + 183*c/4 + 9 = 0. Calculate c.
-12, -1, -1/4
What is f in -5*f**4 + 75*f**3 + 95*f**2 - 1275*f - 2250 = 0?
-3, -2, 5, 15
Solve -8*l**5 + 4132*l**4 - 703676*l**3 + 38158200*l**2 + 229976496*l + 105360480 = 0 for l.
-5, -1/2, 174
Suppose -2*g**5 + 200*g**4 + 10*g**3 - 1000*g**2 - 8*g + 800 = 0. What is g?
-2, -1, 1, 2, 100
Let -z**3/5 - 8953*z**2/5 + 10749*z - 80631/5 = 0. Calculate z.
-8959, 3
Factor -2*j**2/7 + 124648*j/7 - 1942140488/7.
-2*(j - 31162)**2/7
Factor -2*q**2/5 + 209784*q/5 + 419576/5.
-2*(q - 104894)*(q + 2)/5
What is k in 5*k**5/3 + 4195*k**4/3 + 15235*k**3 + 136805*k**2/3 + 153250*k/3 + 19320 = 0?
-828, -7, -2, -1
Factor q**2/8 + 512435*q/2 + 262589629225/2.
(q + 1024870)**2/8
Factor 5*f**4 - 20*f**3 - 820*f**2 + 1680*f.
5*f*(f - 14)*(f - 2)*(f + 12)
Find j such that -2*j**2/11 + 44182*j/11 + 44184/11 = 0.
-1, 22092
Factor -362*i**4 - 43437*i**3/4 + 45*i**2/2.
-i**2*(i + 30)*(1448*i - 3)/4
Let 2*s**2/3 + 482*s/3 + 1976 = 0. Calculate s.
-228, -13
Let 3*p**3 + 1818*p**2 + 17847*p - 19668 = 0. What is p?
-596, -11, 1
Let 200*f**4/3 - 415960*f**3/3 + 72078934*f**2 + 43259840*f/3 + 2163200/3 = 0. Calculate f.
-1/10, 1040
Factor -p**2/5 - 58588*p/5 - 234336/5.
-(p + 4)*(p + 58584)/5
Suppose 25*z**4 + 2290*z**3 - 117045*z**2 - 71950*z + 47360 = 0. What is z?
-128, -1, 2/5, 37
Factor -2*u**4 + 2444*u**3 - 753938*u**2 + 4457856*u - 6653952.
-2*(u - 608)**2*(u - 3)**2
Suppose u**4/4 + 32209*u**3/4 - 16105*u**2/2 = 0. Calculate u.
-32210, 0, 1
Solve -4*i**4 - 2800*i**3 - 651692*i**2 - 50217200*i + 50871696 = 0.
-249, -226, 1
What is c in -c**2/9 + 20277*c + 364990/9 = 0?
-2, 182495
Determine f so that 980*f**4 + 15688*f**3 - 53772*f**2 + 36800*f + 304 = 0.
-19, -2/245, 1, 2
Determine k so that -5*k**2 + 186150*k - 930625 = 0.
5, 37225
Factor 2*y**4 - 324*y**3 + 4554*y**2 + 694008*y + 9176328.
2*(y - 102)**2*(y + 21)**2
Let 39*p**5 - 1873*p**4/6 - 113*p**3/3 + 1873*p**2/6 - 4*p/3 = 0. Calculate p.
-1, 0, 1/234, 1, 8
Factor -2*y**3/21 - 40*y**2/7 + 2432*y/21.
-2*y*(y - 16)*(y + 76)/21
Let 54*q**5/13 - 164*q**4/13 - 210*q**3/13 + 8*q**2/13 = 0. What is q?
-1, 0, 1/27, 4
Solve a**5/6 - 234*a**4 + 935*a**3/2 - 701*a**2/3 = 0.
0, 1, 1402
Suppose -13*g**4/9 + 2104*g**3/9 - 28661*g**2/3 + 70936*g/9 + 12956/9 = 0. What is g?
-2/13, 1, 79, 82
Let 3*n**3/8 - 123*n**2/8 - 93*n/4 + 315 = 0. What is n?
-5, 4, 42
Solve -3*j**4/2 - 1494*j**3 - 364461*j**2 + 3757410*j - 18975675/2 = 0 for j.
-503, 5
What is o in 2*o**2/11 - 136*o/11 - 46360/11 = 0?
-122, 190
Solve 4*k**2/5 + 7476*k/5 - 1496 = 0 for k.
-1870, 1
Solve 2*h**3/5 + 18*h**2/5 - 2*h/5 - 18/5 = 0.
-9, -1, 1
Determine y so that 62*y**4 + 1863*y**3/2 - 79*y**2/2 - 1863*y/2 - 45/2 = 0.
-15, -1, -3/124, 1
Factor 2*x**3 + 6260*x**2 + 62450*x + 156000.
2*(x + 5)**2*(x + 3120)
What is n in 5*n**2 - 14620*n + 14615 = 0?
1, 2923
Find z such that -20*z**3 - 46405*z**2 - 26923600*z - 6728000 = 0.
-1160, -1/4
Factor 4*o**2 + 3252*o + 660680.
4*(o + 398)*(o + 415)
Solve -r**5/3 - 16*r**4/3 + 202*r**2/3 - 335*r/3 + 50 = 0.
-15, -5, 1, 2
What is a in a**5/2 + 37*a**4/2 + 39*a**3/2 - 2773*a**2/2 + 4780*a - 3432 = 0?
-33, -13, 1, 4
Determine v, given that -2*v**2/9 + 2116*v/9 - 5600/3 = 0.
8, 1050
Find u, given that -u**4/3 - 118*u**3/3 + 1981*u**2/3 - 1862*u/3 = 0.
-133, 0, 1, 14
Factor -3*q**2 - 132081*q + 264174.
-3*(q - 2)*(q + 44029)
Let 4*v**4 - 1856*v**3 - 87472*v**2 - 983488*v = 0. Calculate v.
-22, 0, 508
Factor l**5 + 191*l**4 - 385*l**3 + 193*l**2.
l**2*(l - 1)**2*(l + 193)
Let -2*i**2/5 - 3066*i/5 = 0. Calculate i.
-1533, 0
Factor 2*k**3/11 + 128*k**2/11 - 1286*k/11 + 2044/11.
2*(k - 7)*(k - 2)*(k + 73)/11
Find m such that m**2/6 + 2229*m/2 - 56984/3 = 0.
-6704, 17
Suppose h**3/4 - 2889*h**2/2 + 5775*h - 5774 = 0. Calculate h.
2, 5774
Find c such that -4005125*c**2 + 930800*c - 54080 = 0.
104/895
Factor r**2/2 + 20030*r + 200600450.
(r + 20030)**2/2
Factor -h**2 + 8*h + 105.
-(h - 15)*(h + 7)
Factor -o**2 - 586*o + 3552.
-(o - 6)*(o + 592)
Find w such that 72*w**2/23 + 12818*w/23 + 3200/23 = 0.
-1600/9, -1/4
Factor -o**3/7 + 64583*o**2/7 - 1042902411*o/7 + 5212897605/7.
-(o - 32289)**2*(o - 5)/7
Let r**3/3 + 20*r**2/3 - 23*r = 0. What is r?
-23, 0, 3
Factor 2*s**2 + 120360*s.
2*s*(s + 60180)
Solve -14*u**5/9 - 206*u**4/9 + 3364*u**3/9 + 36688*u**2/9 - 197120*u/9 + 53248/9 = 0 for u.
-16, 2/7, 4, 13
Solve -5*n**5 - 32025*n**4 - 68244730*n**3 - 48109083210*n**2 + 588088884735*n + 636129755235 = 0 for n.
-2139, -1, 13
Factor k**3/5 - 30391*k**2/5 + 486064*k/5 - 388800.
(k - 30375)*(k - 8)**2/5
Factor -2*l**2 + 6872*l - 6870.
-2*(l - 3435)*(l - 1)
Let 2*i**5/13 - 1914*i**4/13 + 630348*i**3/13 - 77385616*i**2/13 + 1979621952*i/13 - 5259260160/13 = 0. Calculate i.
3, 30, 308
Solve h**5 - 1270*h**4 + 534220*h**3 - 72973800*h**2 - 609759360*h - 1236940416 = 0 for h.
-4, 426
Factor -2*m**3/3 - 658*m**2 - 1308*m + 15760/3.
-2*(m - 2)*(m + 4)*(m + 985)/3
Let -2*n**2/11 - 860*n/11 - 3088 = 0. Calculate n.
-386, -44
Let -2*v**4 + 8*v**2 = 0. What is v?
-2, 0, 2
Suppose 9*h**4/8 + 4821*h**3/8 - 21089*h**2/8 - 15665*h/8 - 675/2 = 0. Calculate h.
-540, -1/3, 5
Let -5*p**3 + 115*p**2 - 300*p = 0. Calculate p.
0, 3, 20
Factor g**2/4 - 38*g + 2295/4.
(g - 135)*(g - 17)/4
Suppose -3*t**2/7 - 59106*t/7 + 59109/7 = 0. Calculate t.
-19703, 1
Factor -3*c**2/7 - 76611*c/7 + 229860/7.
-3*(c - 3)*(c + 25540)/7
Solve -2*c**2 + 70*c + 71968 = 0.
-173, 208
Factor -2*v**3/7 + 152*v**2/7 - 1490*v/7 + 3900/7.
-2*(v - 65)*(v - 6)*(v - 5)/7
Factor -3*f**3/7 - 747*f**2/7 - 312*f + 7380/7.
-3*(f - 2)*(f + 5)*(f + 246)/7
What is l in -35*l**5 + 1270*l**4 - 990*l**3 - 20120*l**2 - 12575*l + 5250 = 0?
-3, -1, 2/7, 5, 35
Let -45*z**5 - 3860*z**4 + 905*z**3 + 3860*z**2 - 860*z = 0. What is z?
-86, -1, 0, 2/9, 1
Let -u**3/5 + 884*u**2/5 + 889*u = 0. Calculate u.
-5, 0, 889
Factor 3*w**3 + 84*w**2 - 15579*w - 15660.
3*(w - 60)*(w + 1)*(w + 87)
Factor -21*u**2 - 519*u/2 - 435.
-3*(u + 2)*(14*u + 145)/2
Let 4*g**4/7 - 703*g**3/7 - 15780*g**2/7 - 18797*g/7 - 532 = 0. What is g?
-19, -1, -1/4, 196
Factor -3*z**3 - 9156*z**2 + 3*z + 9156.
-3*(z - 1)*(z + 1)*(z + 3052)
Factor -2*b**3 + 5656*b**2 + 11318*b + 5660.
-2*(b - 2830)*(b + 1)**2
Find v such that -v**5/2 - 135*v**4/4 - 724*v**3 - 20291*v**2/4 - 8106*v - 3724 = 0.
-28, -19/2, -1
Find z, given that z**3 - 971*z**2 + 32147*z - 270793 = 0.
17, 937
Determine v, given that v**4/3 + 532*v**3/3 + 1589*v**2/3 + 1058*v/3 = 0.
-529, -2, -1, 0
Factor -3*u**2 + 1035*u + 68742.
-3*(u - 402)*(u + 57)
Find z such that z**2/3 - 97*z/3 - 31688/3 = 0.
-136, 233
Suppose n**3 + 1151*n**2 - n - 1151 = 0. What is n?
-1151, -1, 1
Determine f, given that 2890*f**5 + 479604*f**4 + 101788528*f**3/5 + 189529568*f**2/5 - 9088224*f/5 + 107584/5 = 0.
-82, -2, 2/85
Determine j so that 335*j**4 - 610*j**3 - 455*j**2 + 610*j + 120 = 0.
-1, -12/67, 1, 2
Factor -2*m**5/17 - 800*m**4/17 - 80000*m**3/17.
-2*m**3*(m + 200)**2/17
What is j in -3*j**5 - 24516*j**4 - 49020*j**3 + 6*j**2 + 49023*j + 24510 = 0?
-8170, -1, 1
Let l**4 - 362*l**3 - 739*l**2 + 3992*l + 4368 = 0. What is l?
-4, -1, 3, 364
Let -2*g**4/17 + 6210*g**3 - 316698*g**2/17 + 316694*g/17 - 105564/17 = 0. Calculate g.