Let y**3/6 - 25*y**2/2 + 609*y/2 - 4851/2 = 0. Calculate y.
21, 33
Solve 55*x**5 - 195*x**4 - 1670*x**3 - 2340*x**2 + 40*x + 960 = 0 for x.
-2, -1, 6/11, 8
Factor -3*l**3/8 - 579*l**2/8 - 3528*l - 3456.
-3*(l + 1)*(l + 96)**2/8
Solve n**4/6 + 7*n**3/6 + 5*n**2/2 + 3*n/2 = 0.
-3, -1, 0
Factor -2*z**2/13 - 420*z/13 + 422/13.
-2*(z - 1)*(z + 211)/13
Suppose -5*x**4 + 70*x**3 + 245*x**2 + 170*x = 0. What is x?
-2, -1, 0, 17
Factor -32*i**3 - 28*i**2 + 4*i.
-4*i*(i + 1)*(8*i - 1)
Solve -3*b**2/2 - 729*b/2 + 366 = 0 for b.
-244, 1
Factor -3*m**3 + 63*m**2 + 840*m - 900.
-3*(m - 30)*(m - 1)*(m + 10)
Suppose 3*w**2/2 + 3*w = 0. Calculate w.
-2, 0
Factor -5*h**3 + 105*h**2 + 110*h.
-5*h*(h - 22)*(h + 1)
Solve -4*j**3/5 + 23*j**2/5 - 14*j/5 - 1 = 0 for j.
-1/4, 1, 5
Determine q so that q**3/10 + 157*q**2/10 - 996*q/5 + 3042/5 = 0.
-169, 6
Factor 2*r**4/3 - 10*r**3/3 - 12*r**2 + 40*r/3 + 112/3.
2*(r - 7)*(r - 2)*(r + 2)**2/3
Determine g, given that -484*g**5 - 102432*g**4 + 348508*g**3 - 324680*g**2 + 85968*g - 6880 = 0.
-215, 2/11, 1, 2
Solve -10*h**3/13 - 18*h**2/13 + 4*h/13 = 0.
-2, 0, 1/5
Find r such that -135*r**5 + 576*r**4 - 843*r**3 + 402*r**2 + 96*r - 96 = 0.
-2/5, 1, 4/3
Let 2*f**4 - 24*f**3 + 30*f**2 + 112*f - 120 = 0. Calculate f.
-2, 1, 3, 10
Let -2*u**5/3 + 106*u**4/3 + 334*u**3/3 + 118*u**2/3 - 332*u/3 - 224/3 = 0. What is u?
-2, -1, 1, 56
Suppose -3*m**4 - 1092*m**3 + 1101*m**2 + 2190*m = 0. Calculate m.
-365, -1, 0, 2
Find c such that 21*c**2 - 780*c - 3456 = 0.
-4, 288/7
Factor -2*d**3/3 + 22*d**2/3 - 38*d/3 + 6.
-2*(d - 9)*(d - 1)**2/3
Find n such that -3*n**3 + 45*n**2 + 102*n = 0.
-2, 0, 17
Let 2*x**5/3 + 14*x**4/3 - 20*x**3 - 136*x**2/3 + 656*x/3 - 192 = 0. What is x?
-9, -4, 2
Let 2*r**4/7 + 90*r**3/7 - 382*r**2/7 + 486*r/7 - 28 = 0. What is r?
-49, 1, 2
Solve s**5/7 + 4*s**4/7 - s**3/7 - 16*s**2/7 - 12*s/7 = 0 for s.
-3, -2, -1, 0, 2
Determine n, given that -3*n**3/4 + 1995*n**2 - 5298711*n/4 - 5314683/2 = 0.
-2, 1331
Factor 2*h**3/3 - 40*h**2/3 + 50*h.
2*h*(h - 15)*(h - 5)/3
Let -3*w**2 + 1056*w - 92928 = 0. What is w?
176
Determine f so that -f**2 + 119*f + 1016 = 0.
-8, 127
Factor -2*u**2 - 16*u + 210.
-2*(u - 7)*(u + 15)
Factor 3*u**3 + 63*u**2 - 135*u + 69.
3*(u - 1)**2*(u + 23)
Factor -w**4 - 6*w**3 + 12*w**2 + 70*w - 75.
-(w - 3)*(w - 1)*(w + 5)**2
Determine v so that 2*v**4 + 51*v**3/4 - 135*v**2/2 + 53*v + 30 = 0.
-10, -3/8, 2
Determine q so that -2*q**4/7 - 6*q**3/7 + 2*q**2/7 + 6*q/7 = 0.
-3, -1, 0, 1
Factor 32*m**3/25 + 1296*m**2/25 - 654*m/25 + 82/25.
2*(m + 41)*(4*m - 1)**2/25
Factor -5*r**3/4 - r**2/4 + 8*r + 7.
-(r + 1)*(r + 2)*(5*r - 14)/4
Solve 5*t**2 - 355*t + 2520 = 0 for t.
8, 63
Factor -3*f**2 - 20*f - 12.
-(f + 6)*(3*f + 2)
Factor 2*x**2 + 1292*x.
2*x*(x + 646)
What is d in -d**2/9 + 10*d/9 - 7/3 = 0?
3, 7
Factor 4*p**3 - 76*p**2 - 80*p.
4*p*(p - 20)*(p + 1)
Factor -3*t**3 - 204*t**2 - 3663*t - 6534.
-3*(t + 2)*(t + 33)**2
Solve m**3/3 + 121*m**2/3 - 4*m/3 - 484/3 = 0.
-121, -2, 2
Factor 2*x**3/5 - 88*x**2/5 - 182*x/5 - 92/5.
2*(x - 46)*(x + 1)**2/5
Factor -2*b**3/11 - 84*b**2 - 12936*b - 664048.
-2*(b + 154)**3/11
Suppose -2*o**4/7 - 2*o**3/7 + 16*o**2/7 + 24*o/7 = 0. Calculate o.
-2, 0, 3
Factor 2*b**3/11 - 6*b**2/11 - 36*b/11 + 80/11.
2*(b - 5)*(b - 2)*(b + 4)/11
Factor 39*y**3 + 150*y**2 - 24*y.
3*y*(y + 4)*(13*y - 2)
Let 405*a**3 + 13545*a**2 + 5960*a + 660 = 0. What is a?
-33, -2/9
Determine r so that -245*r**4 - 20230*r**3 + 72780*r**2 + 46520*r + 6880 = 0.
-86, -2/7, 4
Factor -f**4/3 - 128*f**3/3 - 1322*f**2 + 8320*f/3 - 4225/3.
-(f - 1)**2*(f + 65)**2/3
Suppose -2*x**3 + 136*x**2 + 278*x + 140 = 0. What is x?
-1, 70
Factor -375*w**5/4 + 225*w**4/4 - 45*w**3/4 + 3*w**2/4.
-3*w**2*(5*w - 1)**3/4
Factor 3*b**2/4 - 495*b/2.
3*b*(b - 330)/4
Find h such that -2*h**3 + 52*h**2 + 562*h - 612 = 0.
-9, 1, 34
Factor -x**3/3 - 10*x**2 + 31*x/3.
-x*(x - 1)*(x + 31)/3
Suppose -l**3 - 903*l**2 = 0. What is l?
-903, 0
Factor -14*x**4/9 + 3188*x**3/9 - 80560*x**2/3 + 6076352*x/9 + 1755904/9.
-2*(x - 76)**3*(7*x + 2)/9
Factor -n**2/3 - 889*n/3 - 296.
-(n + 1)*(n + 888)/3
Let 5*i**4 + 95*i**3 + 560*i**2 + 960*i = 0. Calculate i.
-8, -3, 0
Let 2*k**3 - 126*k**2 + 2646*k - 18522 = 0. What is k?
21
Suppose -11*p**2 + 5*p + 6 = 0. Calculate p.
-6/11, 1
Solve -2*m**5 - 32*m**4 - 100*m**3 - 40*m**2 + 102*m + 72 = 0.
-12, -3, -1, 1
Solve -13*g**3/2 + 15*g**2/2 + 77*g - 12 = 0 for g.
-3, 2/13, 4
Suppose 5*p**3/8 + 187*p**2/2 + 445*p/8 - 149/4 = 0. What is p?
-149, -1, 2/5
Let -4*t**3 + 96*t**2 + 448*t = 0. Calculate t.
-4, 0, 28
Factor r**3 + 18*r**2 + 45*r.
r*(r + 3)*(r + 15)
Let -2*g**5/11 + 12*g**3/11 - 16*g**2/11 + 6*g/11 = 0. What is g?
-3, 0, 1
Factor -2*i**4/7 - 90*i**3/7 - 138*i**2 + 1058*i/7.
-2*i*(i - 1)*(i + 23)**2/7
Factor 5*u**3/3 + 20*u**2 - 65*u/3.
5*u*(u - 1)*(u + 13)/3
Factor -35*x**3 + 2*x**2 + 140*x - 8.
-(x - 2)*(x + 2)*(35*x - 2)
Solve -3*b**4 + 48*b**3 - 174*b**2 + 72*b + 297 = 0 for b.
-1, 3, 11
Let -125*x**5 + 15600*x**4 - 12420*x**3 + 2480*x**2 = 0. Calculate x.
0, 2/5, 124
Let -3*n**4/4 - 16*n**3 - 81*n**2/4 - 5*n = 0. Calculate n.
-20, -1, -1/3, 0
Find y, given that -3*y**3 - 63*y**2 - 333*y - 273 = 0.
-13, -7, -1
Suppose c**4/4 + 7*c**3/2 + 57*c**2/4 + 19*c + 8 = 0. Calculate c.
-8, -4, -1
Factor 5*z**2 - 940*z + 44180.
5*(z - 94)**2
Factor o**2/3 - 3061*o/3 - 3062/3.
(o - 3062)*(o + 1)/3
Determine j, given that 2*j**5/19 + 10*j**4/19 + 6*j**3/19 - 10*j**2/19 - 8*j/19 = 0.
-4, -1, 0, 1
Factor 2*i**5/9 - 428*i**4/9 + 22466*i**3/9 + 5136*i**2 + 2592*i.
2*i*(i - 108)**2*(i + 1)**2/9
Determine x so that x**3/5 + 8*x**2/5 + x - 10 = 0.
-5, 2
Let -3*l**3 + 87*l**2 - 720*l + 1836 = 0. Calculate l.
6, 17
Find a such that -a**3 - 177*a**2 + 366*a + 1432 = 0.
-179, -2, 4
What is m in 2*m**4 + 4*m**3 - 8*m**2 - 4*m + 6 = 0?
-3, -1, 1
Solve -2*k**3/5 - 6*k**2/5 + 18*k - 162/5 = 0 for k.
-9, 3
Factor j**3 + 567*j**2 + 566*j.
j*(j + 1)*(j + 566)
Factor -t**3 - 639*t**2 - 136107*t - 9663597.
-(t + 213)**3
Factor -b**5/5 + 17*b**4/5 - 58*b**3/5 + 82*b**2/5 - 53*b/5 + 13/5.
-(b - 13)*(b - 1)**4/5
Solve -4*d**5 - 68*d**4 + 516*d**3 - 828*d**2 = 0 for d.
-23, 0, 3
Find g, given that 69*g**3/8 + 153*g**2/8 - 3*g - 27/2 = 0.
-2, -1, 18/23
Factor -36*o**3 + 336*o**2 - 400*o + 128.
-4*(o - 8)*(3*o - 2)**2
Solve -243*r**4/2 + 4563*r**3 + 13569*r**2/2 + 2334*r + 234 = 0 for r.
-1, -2/9, 39
Let 2*p**4/17 - 18*p**3/17 - 6*p**2/17 + 58*p/17 - 36/17 = 0. Calculate p.
-2, 1, 9
Determine b, given that 21*b**2/4 + 771*b/4 - 111/2 = 0.
-37, 2/7
Factor i**3/4 + 47*i**2/4 + 154*i + 363.
(i + 3)*(i + 22)**2/4
Let 3*z**4/2 + 9*z**3 - 189*z**2/2 - 60*z + 792 = 0. What is z?
-11, -3, 4
Factor -5*g**3 + 9025*g**2.
-5*g**2*(g - 1805)
Factor 5*b**2 + 30*b + 40.
5*(b + 2)*(b + 4)
Solve 4*n**4/7 + 90*n**3/7 + 362*n**2/7 - 204*n/7 = 0 for n.
-17, -6, 0, 1/2
Let 4*p**4/3 + 182*p**3/3 + 1348*p**2/3 - 240*p = 0. Calculate p.
-36, -10, 0, 1/2
Let 12*f**5 + 1527*f**4 + 1881*f**3 - 1149*f**2 - 1893*f - 378 = 0. Calculate f.
-126, -1, -1/4, 1
Find o such that 29*o**4/2 + 30*o**3 - 25*o**2/2 - 30*o - 2 = 0.
-2, -1, -2/29, 1
Find f such that -f**2/2 - 27*f/2 + 29 = 0.
-29, 2
Factor -3*u**5 + 24*u**4 - 54*u**3 + 81*u.
-3*u*(u - 3)**3*(u + 1)
Let -2*r**2 + 196*r - 752 = 0. Calculate r.
4, 94
Factor 8*q**2/3 - 842*q/3 + 70.
2*(q - 105)*(4*q - 1)/3
Factor x**5/5 - 6*x**4 + 236*x**3/5 - 774*x**2/5 + 1107*x/5 - 108.
(x - 20)*(x - 3)**3*(x - 1)/5
Suppose h**2/7 + 332*h + 192892 = 0. What is h?
-1162
Solve -2*r**3/5 + 34*r**2 - 3326*r/5 - 3498/5 = 0 for r.
-1, 33, 53
Factor 5*l**3 - 250*l**2 + 715*l - 470.
5*(l - 47)*(l - 2)*(l - 1)
Determine k, given that -2*k**2 + 26*k - 60 = 0.
3, 10
Suppose -845*f**3 - 18330*f**2 + 5700*f - 440 = 0. Calculate f.
-22, 2/13
Let 4*h**5 + 4*h**4 - 8*h**3 = 0. Calculate h.
-2, 0, 1
Let -5*g**4 - 35*g**3 - 75*g**2 - 65*g - 20 = 0. Calculate g.
-4, -1
Factor 3*v**3/8 + 105*v**2/2 + 2007*v/8 - 1215/4.
3*(v - 1)*(v + 6)*(v + 135)/8
Factor -4*h**4 + 132*h**3 + 140*h**2 - 132*h - 136.
-4*(h - 34)*(h - 1)*(h + 1)**2
Determine x, given that -4*x**3/7 - 25*x**2/7 - 6*x - 9/7 = 0.
-3, -1/4
Solve s**2/2 + 109*s/2 + 1160 = 0 for s.
-80, -29
Factor 4*b**3 + 4*b**2 - 196*b - 196.
4*(b - 7)*(b + 1)*(b + 7)
Factor -53138*d**2/5 + 1304*d/