 that -j**4/6 - 112*j**3/3 - 221*j**2/6 + 223*j/3 = 0.
-223, -2, 0, 1
Factor -c**3 - 661*c**2 - 102680*c + 2196400.
-(c - 19)*(c + 340)**2
Determine h so that 2*h**4/19 + 540*h**3/19 - 87454*h**2/19 - 16727040*h/19 + 1919025152/19 = 0.
-256, 121
Solve r**2/4 + 19007*r/2 + 361266049/4 = 0.
-19007
Suppose 4*i**4 - 616*i**3 + 24708*i**2 - 20720*i - 4096048 = 0. Calculate i.
-11, 17, 74
Determine y, given that 39*y**5/5 + 87*y**4/5 - 441*y**3 + 1593*y**2/5 + 486*y/5 = 0.
-9, -3/13, 0, 1, 6
Find t such that t**5 + 152*t**4 + 296*t**3 - 602*t**2 - 297*t + 450 = 0.
-150, -3, -1, 1
Let 5*l**3 - 3665*l**2 + 705075*l - 12107655 = 0. What is l?
19, 357
Determine y so that y**4/8 - 9*y**3/4 + 4*y**2 = 0.
0, 2, 16
Factor 3*s**2/2 + 528*s - 2136.
3*(s - 4)*(s + 356)/2
Factor -4*k**2 + 1396*k + 12888.
-4*(k - 358)*(k + 9)
Factor 2*y**3/9 - 154*y**2/9 + 1600*y/9 - 2600/9.
2*(y - 65)*(y - 10)*(y - 2)/9
Factor 5*z**2 + 196390*z + 196385.
5*(z + 1)*(z + 39277)
Find z, given that 803*z**3 + 4806*z**2 + 7155*z - 108 = 0.
-3, 12/803
Suppose -g**2/7 - 128928*g/7 + 515728/7 = 0. Calculate g.
-128932, 4
Solve -7*l**3 - 194*l**2 + 3787*l - 1066 = 0.
-41, 2/7, 13
Factor y**4/4 + 45*y**3 - 1975*y**2/4 - 7125*y/2.
y*(y - 15)*(y + 5)*(y + 190)/4
Let -4*w**5 - 12*w**4 + 108*w**3 - 52*w**2 - 168*w = 0. Calculate w.
-7, -1, 0, 2, 3
Let 3*b**2/7 - 9894*b/7 + 196680/7 = 0. What is b?
20, 3278
Find c such that 2*c**2 + 177206*c + 177204 = 0.
-88602, -1
Factor -d**3/3 - 484*d**2/3 - 31709*d/3 - 561290/3.
-(d + 37)**2*(d + 410)/3
Determine k, given that 5*k**5 - 2950*k**4 - 2990*k**3 + 20680*k**2 + 2985*k - 17730 = 0.
-3, -1, 1, 2, 591
Determine k so that -4*k**3/5 - 5606*k**2/5 - 392560*k + 982802/5 = 0.
-701, 1/2
Find d such that 255*d**5 - 4580*d**4 + 26340*d**3 - 55570*d**2 + 32205*d + 1350 = 0.
-2/51, 1, 3, 5, 9
Factor 5*l**4 - 40*l**3 - 955*l**2 + 8190*l.
5*l*(l - 13)*(l - 9)*(l + 14)
Factor j**4/3 - 169*j**3/3 + 8630*j**2/3 - 135200*j/3 - 48000.
(j - 90)*(j - 40)**2*(j + 1)/3
Let 2*f**5/7 - 84*f**4 + 43216*f**3/7 + 84*f**2 - 6174*f = 0. Calculate f.
-1, 0, 1, 147
Suppose -27*x**5/5 + 141*x**4/5 + 375*x**3 - 9549*x**2/5 - 11256*x/5 + 18816/5 = 0. What is x?
-8, -16/9, 1, 7
Find q such that -5*q**2 - 123670*q = 0.
-24734, 0
Let 2*m**2 + 584*m + 32264 = 0. Calculate m.
-218, -74
Solve 4*p**3 + 5796*p**2 + 103356*p + 463644 = 0.
-1431, -9
Determine b so that -84*b**3 + 8044*b**2 + 22048*b = 0.
-8/3, 0, 689/7
Solve -m**5/6 - 8*m**4/3 + 147*m**3 - 3016*m**2/3 - 6929*m/6 = 0.
-41, -1, 0, 13
Suppose -y**4/8 - 301*y**3/8 + 117*y**2 + 902*y - 3040 = 0. Calculate y.
-304, -5, 4
Let -5*g**5 + 990*g**4 - 11020*g**3 - 26040*g**2 = 0. Calculate g.
-2, 0, 14, 186
Solve 4*f**5/5 - 42668*f**4/5 + 596808*f**3/5 - 2557136*f**2/5 + 4431904*f/5 - 2727168/5 = 0 for f.
2, 8, 10653
Suppose 4*s**3 - 292*s**2 + 568*s = 0. What is s?
0, 2, 71
Suppose 24*c**5/5 - 1612*c**4/5 + 3316*c**3/5 + 4172*c**2/5 - 156*c = 0. What is c?
-1, 0, 1/6, 3, 65
Factor -2*s**2 - 90628*s.
-2*s*(s + 45314)
Let -2*z**2 + 35136*z + 35138 = 0. Calculate z.
-1, 17569
Factor 3*v**3 - 4131*v**2 - 29034*v - 41520.
3*(v - 1384)*(v + 2)*(v + 5)
Let 22*p**2 - 586*p - 1956 = 0. Calculate p.
-3, 326/11
Suppose -q**4 - 1016*q**3 + 4*q**2 + 4064*q = 0. Calculate q.
-1016, -2, 0, 2
Determine t so that 3*t**3/7 - 60*t**2 - 14163*t/7 - 91260/7 = 0.
-20, -9, 169
Determine g, given that 2*g**2 - 122*g + 1800 = 0.
25, 36
What is x in 2*x**2 - 254788*x/3 + 169856/3 = 0?
2/3, 42464
Let 18*r**3/7 - 429*r**2 - 501*r/7 = 0. What is r?
-1/6, 0, 167
Factor 4*m**3 - 212*m**2 + 2184*m.
4*m*(m - 39)*(m - 14)
Solve -19220*h**5 + 116405*h**4 - 263060*h**3 + 271190*h**2 - 122720*h + 17405 = 0 for h.
1/4, 1, 59/31
What is x in 3*x**5/7 + 510*x**4/7 + 17076*x**3/7 - 65064*x**2 - 494592*x + 9953664 = 0?
-92, -14, 14
Factor 125*g**3 + 557400*g**2 - 445980*g + 89200.
5*(g + 4460)*(5*g - 2)**2
Factor 2*s**2/3 - 41816*s/3 - 27880.
2*(s - 20910)*(s + 2)/3
Solve -2*v**5 - 260*v**4 - 7518*v**3 + 68948*v**2 + 471104*v + 610368 = 0 for v.
-68, -3, -2, 11
Factor 2*b**3/3 - 4*b**2 - 32*b/3 + 64.
2*(b - 6)*(b - 4)*(b + 4)/3
Find m such that -10*m**2/3 + 12182*m + 73132/3 = 0.
-2, 18283/5
Factor y**4/6 - 11*y**3 + 1253*y**2/6 - 830*y - 1050.
(y - 30)**2*(y - 7)*(y + 1)/6
Factor h**2 + 309*h - 10170.
(h - 30)*(h + 339)
Let -x**3 - 241*x**2 - 3995*x + 4237 = 0. Calculate x.
-223, -19, 1
Factor 2*n**4 - 3506*n**3 + 2093286*n**2 - 450588662*n + 14893552880.
2*(n - 571)**3*(n - 40)
Solve -2*s**2/11 - 488*s/11 - 29768/11 = 0 for s.
-122
Suppose 847*a**5/8 - 6777*a**4/4 + 6780*a**3 - 16*a**2 = 0. What is a?
0, 2/847, 8
Factor 5*a**4 - 29940*a**3 + 44820180*a**2.
5*a**2*(a - 2994)**2
Factor x**4/6 - 73*x**3/2 + 865*x**2/6 - 359*x/2 + 215/3.
(x - 215)*(x - 2)*(x - 1)**2/6
Solve -6*p**4/11 - 42*p**3/11 + 288*p**2/11 + 840*p/11 - 2400/11 = 0.
-10, -4, 2, 5
Let -3*j**2 + 9894*j - 8157603 = 0. What is j?
1649
Solve 5*u**2 + 28110*u - 225200 = 0.
-5630, 8
Factor -2*k**2 - 12507*k/2 + 3127/2.
-(k + 3127)*(4*k - 1)/2
Find f, given that -f**4/6 - 273*f**3/2 - 1604*f**2 + 24178*f/3 - 8608 = 0.
-807, -16, 2
Factor x**2/4 + 6319*x/4 + 4737.
(x + 3)*(x + 6316)/4
Suppose 18*a**5 + 3*a**4 - 108*a**3 + 126*a**2 - 30*a - 9 = 0. What is a?
-3, -1/6, 1
Find y, given that y**4 - 27*y**3 + 72*y**2 + 4*y - 96 = 0.
-1, 2, 24
Determine x, given that 6*x**3/5 - 74*x**2 + 3544*x/5 - 440 = 0.
2/3, 11, 50
Factor -2*y**3/13 - 414*y**2/13 - 27552*y/13 - 595840/13.
-2*(y + 56)**2*(y + 95)/13
Let -2222*j**4/5 - 15558*j**3/5 - 2672*j**2 - 24*j/5 = 0. What is j?
-6, -1, -2/1111, 0
Solve -8*d**4/5 + 146*d**3/5 + 250*d**2 + 2452*d/5 + 240 = 0.
-4, -2, -3/4, 25
Let -3*u**4 - 49050*u**3 - 200589951*u**2 - 801771300*u - 801575148 = 0. What is u?
-8173, -2
Determine j, given that -j**4/3 + 1270*j**3 - 19033*j**2/3 + 10148*j - 15220/3 = 0.
1, 2, 3805
Solve 4*c**3 + 2514*c**2 + 52244*c + 25494 = 0.
-607, -21, -1/2
Solve -20*m**2 + 381915*m + 95480 = 0.
-1/4, 19096
Factor 5*l**2 - 51050*l + 51045.
5*(l - 10209)*(l - 1)
Factor a**3/2 - 697*a**2/2 - 4244*a - 7090.
(a - 709)*(a + 2)*(a + 10)/2
Let -2*w**5/7 + 20*w**4 + 1222*w**3/7 + 288*w**2 + 936*w/7 = 0. What is w?
-6, -1, 0, 78
Let -4*h**2 - 92552*h - 535367044 = 0. What is h?
-11569
Let -i**5/8 + i**4/4 + 11*i**3/2 + 19*i**2/4 - 43*i/8 - 5 = 0. Calculate i.
-5, -1, 1, 8
Factor -u**2/4 + 3290*u - 13159/4.
-(u - 13159)*(u - 1)/4
Factor -2*l**2/7 + 1850*l.
-2*l*(l - 6475)/7
Factor 77*n**3/4 - 251*n**2/4 + 56*n - 15.
(n - 2)*(7*n - 5)*(11*n - 6)/4
What is q in 2*q**3/9 - 1994*q**2/9 + 511622*q/9 - 2410810/3 = 0?
15, 491
Find y, given that -y**3 - 319*y**2 - 25384*y = 0.
-167, -152, 0
Solve 3*b**2/5 - 984*b = 0 for b.
0, 1640
Suppose -5*m**2 - 10200*m - 10195 = 0. Calculate m.
-2039, -1
Factor 2*f**2/9 - 26*f/9 + 8/3.
2*(f - 12)*(f - 1)/9
Factor -h**2 - 155368*h.
-h*(h + 155368)
Let d**3 + 261*d**2 + 4920*d + 24100 = 0. Calculate d.
-241, -10
Let 21*o**3/5 - 2358*o**2/5 - 4116*o/5 + 1368/5 = 0. Calculate o.
-2, 2/7, 114
Determine h so that -3*h**4 + 1692*h**3 - 6729*h**2 + 5040*h = 0.
0, 1, 3, 560
Let 8*a**3/13 + 25432*a**2/13 - 25438*a/13 + 6360/13 = 0. Calculate a.
-3180, 1/2
Find g such that 3*g**3 + 55188*g**2 + 253754415*g - 507729606 = 0.
-9199, 2
Factor -18*p**3 + 969080*p**2 - 13043170746*p - 2898530244.
-2*(p - 26919)**2*(9*p + 2)
Find k such that -2*k**3/9 - 1472*k**2/9 + 2*k/9 + 1472/9 = 0.
-736, -1, 1
Suppose 15*r**3 - 114588*r**2 - 91683*r + 22920 = 0. What is r?
-1, 1/5, 7640
Solve -3*v**4/4 + 2885*v**3/2 - 480*v**2 - 2885*v/2 + 1923/4 = 0 for v.
-1, 1/3, 1, 1923
Determine j, given that -j**5/9 + 148*j**4/9 - 7097*j**3/9 + 99854*j**2/9 + 163132*j/3 + 57800 = 0.
-2, 50, 51
Determine q so that 14*q**5 + 467*q**4 + 4603*q**3 + 10027*q**2 - 35541*q - 13770 = 0.
-17, -9, -5/14, 2
Factor -y**3/4 - 2*y**2 + 1841*y/4 - 4488.
-(y - 32)*(y - 11)*(y + 51)/4
Find g such that g**5/2 - 271*g**4 + 10941*g**3/2 = 0.
0, 21, 521
Suppose -r**4/2 + 51*r**2/2 - 49*r + 24 = 0. What is r?
-8, 1, 6
Determine b so that -14*b**5/3 + 1060*b**4/3 - 4648*b**3 - 228604*b**2/3 - 786298*b/3 - 221880 = 0.
-5, -4, -9/7, 43
Factor 5*l**2 - 495*l - 1010.
5*(l - 101)*(l + 2)
Factor 15*f**2 - 10555*f + 80040.
5*(f - 696)*(3*f - 23)
Let 3*v**4 + 186423*v**3 + 186420*v**2 = 0. Calculate v.
-6214