*w**3/5 + 62*w**2/5 - 224*w/5 + 216/5.
-2*(w - 27)*(w - 2)**2/5
Factor 2*u**2 + 180*u + 688.
2*(u + 4)*(u + 86)
Let -5*z**4 - 630*z**3 - 620*z**2 + 630*z + 625 = 0. What is z?
-125, -1, 1
Suppose -v**3/3 + 22*v**2/3 - 41*v/3 + 20/3 = 0. Calculate v.
1, 20
Let -32*x**5 - 16*x**4 + 222*x**3 - 80*x**2 - 82*x - 12 = 0. What is x?
-3, -1/4, 1, 2
Factor t**2/8 - 111*t/8 - 113/4.
(t - 113)*(t + 2)/8
Let -t**5 - 32*t**4 - 311*t**3 - 868*t**2 - 588*t = 0. Calculate t.
-14, -3, -1, 0
Find a such that -a**5/5 + a**4 + 10*a**3 = 0.
-5, 0, 10
Factor -5*q**4 - 50*q**3 + 335*q**2 + 800*q + 420.
-5*(q - 6)*(q + 1)**2*(q + 14)
Factor -28*o**3 + 428*o**2 - 512*o + 112.
-4*(o - 14)*(o - 1)*(7*o - 2)
Find b such that 4*b**2 + 1600*b + 160000 = 0.
-200
Suppose -2*a**3/3 + 26*a**2/3 - 104*a/3 + 40 = 0. Calculate a.
2, 5, 6
Suppose -1100*k**5 - 2030*k**4 - 1146*k**3 - 224*k**2 - 8*k = 0. Calculate k.
-1, -2/5, -1/22, 0
Determine t so that -3*t**4 + 9*t**3 + 15*t**2 - 9*t - 12 = 0.
-1, 1, 4
Solve j**3/7 + 2*j**2/7 - 5*j/7 - 6/7 = 0.
-3, -1, 2
Factor -2*c**4/9 + 692*c**3/9 - 61226*c**2/9 + 26296*c - 25992.
-2*(c - 171)**2*(c - 2)**2/9
Determine s so that 5*s**2 + 3100*s + 480500 = 0.
-310
Factor -2*u**2/3 - 4*u/3.
-2*u*(u + 2)/3
What is j in j**2/2 - 199*j/2 + 99 = 0?
1, 198
Suppose -2*s**5/9 + 2*s**4 - 2*s**3/3 - 178*s**2/9 + 32*s/3 + 56 = 0. Calculate s.
-2, 3, 7
Factor 4*o**4 - 124*o**3 + 116*o**2 + 124*o - 120.
4*(o - 30)*(o - 1)**2*(o + 1)
Factor -b**5/3 + 7*b**4/3 + 2*b**3/3 - 46*b**2/3 - 65*b/3 - 25/3.
-(b - 5)**2*(b + 1)**3/3
Find k such that -2*k**5 - 274*k**4 - 9236*k**3 + 10908*k**2 + 48438*k + 28566 = 0.
-69, -1, 3
Let o**4/4 + 7*o**3/4 - 15*o**2/2 + o + 10 = 0. Calculate o.
-10, -1, 2
Find t, given that -2*t**4/7 + 10*t**3/7 - 2*t**2/7 - 6*t + 36/7 = 0.
-2, 1, 3
Factor -w**3/4 + 13*w**2/2 + 391*w/4 - 2645.
-(w - 23)**2*(w + 20)/4
Determine v so that -v**2/3 - 43*v/3 - 82/3 = 0.
-41, -2
Determine z, given that -z**2/9 + 103*z/9 - 34/3 = 0.
1, 102
Solve -w**3 - 13*w**2 = 0 for w.
-13, 0
Suppose 3*g**4/2 - 27*g**3/2 - 54*g**2 - 6*g + 72 = 0. What is g?
-2, 1, 12
Suppose 4*p**2 - 20*p - 264 = 0. Calculate p.
-6, 11
Let 2*a**3/23 + 26*a**2/23 - 60*a/23 = 0. What is a?
-15, 0, 2
Factor -r**2 - 36*r + 37.
-(r - 1)*(r + 37)
Factor -2*i**2/9 + 10388*i/3 - 13488818.
-2*(i - 7791)**2/9
Factor 12*g**3 - 861*g**2 + 636*g + 213.
3*(g - 71)*(g - 1)*(4*g + 1)
Determine m so that -4*m**5/5 - 56*m**4/5 - 244*m**3/5 - 336*m**2/5 - 144*m/5 = 0.
-6, -1, 0
Factor 2*m**2/17 + 200*m/17 + 198/17.
2*(m + 1)*(m + 99)/17
Factor 6*b**4 + 57*b**3 + 117*b**2 + 87*b + 21.
3*(b + 1)**2*(b + 7)*(2*b + 1)
Factor d**2 - 6*d.
d*(d - 6)
Factor 2*t**2/13 - 8*t/13 + 6/13.
2*(t - 3)*(t - 1)/13
Let 3*r**3/5 + 51*r**2/5 + 48*r/5 = 0. Calculate r.
-16, -1, 0
Factor -2*i**2/25 + 26*i/25 - 24/25.
-2*(i - 12)*(i - 1)/25
Factor s**5 + 82*s**4 + 1680*s**3 - 82*s**2 - 1681*s.
s*(s - 1)*(s + 1)*(s + 41)**2
Suppose -4*g**2/5 - 144*g/5 - 1296/5 = 0. Calculate g.
-18
Factor -2*q**3/3 + 6*q**2 + 98*q/3 + 26.
-2*(q - 13)*(q + 1)*(q + 3)/3
Solve -6*q**5 + 15*q**4 + 123*q**3 + 39*q**2 - 117*q - 54 = 0.
-3, -1, -1/2, 1, 6
Find x, given that x**4/3 + 10*x**3 + 111*x**2 + 540*x + 972 = 0.
-9, -6
Suppose -7*i**3/5 - 8*i**2 + 61*i/5 - 14/5 = 0. Calculate i.
-7, 2/7, 1
Factor 3*q**3/2 + 21*q**2/2 - 12*q.
3*q*(q - 1)*(q + 8)/2
Factor 2*r**4 - 4*r**3 + 4*r - 2.
2*(r - 1)**3*(r + 1)
Factor -2*q**2/9 - 202*q/9 + 68/3.
-2*(q - 1)*(q + 102)/9
Solve -4*y**3 + 92*y**2/3 - 208*y/3 + 128/3 = 0 for y.
1, 8/3, 4
Factor 2*b**3/9 - 52*b**2/9 - 94*b/9 + 120.
2*(b - 27)*(b - 4)*(b + 5)/9
Factor -4*s**3 + 104*s**2 + 348*s.
-4*s*(s - 29)*(s + 3)
Find x, given that -2*x**4/11 - 8*x**3/11 - 6*x**2/11 + 8*x/11 + 8/11 = 0.
-2, -1, 1
Let 4*k**3/3 - 452*k**2/3 + 7216*k/3 - 2256 = 0. What is k?
1, 18, 94
Suppose 4*g**5/9 + 104*g**4/9 + 224*g**3/3 - 104*g**2/9 - 676*g/9 = 0. Calculate g.
-13, -1, 0, 1
Factor -2*l**4/11 + 2*l**3/11 + 6*l**2/11 - 10*l/11 + 4/11.
-2*(l - 1)**3*(l + 2)/11
Determine m so that 5*m**4 - 40*m**3 + 90*m**2 - 80*m + 25 = 0.
1, 5
Find d, given that 4*d**2 - 24*d + 20 = 0.
1, 5
Factor -25*l**3 + 60*l**2 + 195*l + 110.
-5*(l + 1)**2*(5*l - 22)
Factor -6*i**2 + 1648*i + 550.
-2*(i - 275)*(3*i + 1)
Suppose v**5 - 23*v**4 + 187*v**3 - 629*v**2 + 784*v - 320 = 0. What is v?
1, 5, 8
Factor -5*w**3/6 - 25*w**2 + 110*w - 340/3.
-5*(w - 2)**2*(w + 34)/6
Solve 2*r**5/5 - 18*r**4/5 + 38*r**3/5 - 6*r**2/5 - 8*r + 24/5 = 0.
-1, 1, 2, 6
Factor -2*i**2 - 4*i.
-2*i*(i + 2)
Factor -z**3 - 2100*z**2 - 1100397*z + 2209202.
-(z - 2)*(z + 1051)**2
Let 7*j**5/2 + 106*j**4 - 171*j**3/2 - 250*j**2 - 62*j = 0. Calculate j.
-31, -1, -2/7, 0, 2
Factor 5*k**2 + 480*k + 475.
5*(k + 1)*(k + 95)
Let -35*c**4 - 25*c**3 + 45*c**2 + 25*c - 10 = 0. Calculate c.
-1, 2/7, 1
Factor 3*w**3 + 168*w**2 + 300*w - 1296.
3*(w - 2)*(w + 4)*(w + 54)
Find n such that -4*n**5/5 - 112*n**4/5 + 144*n**3/5 + 152*n**2 - 1484*n/5 + 696/5 = 0.
-29, -3, 1, 2
Factor -86*u**3 - 174*u**2 - 4*u.
-2*u*(u + 2)*(43*u + 1)
Let -2*u**4/7 + 44*u**3/7 - 240*u**2/7 - 44*u/7 + 242/7 = 0. Calculate u.
-1, 1, 11
Suppose b**3 + 11*b**2 - 57*b + 45 = 0. Calculate b.
-15, 1, 3
Factor -18769*r**2/3 + 274*r - 3.
-(137*r - 3)**2/3
Solve 2*o**2 + 518*o - 1044 = 0 for o.
-261, 2
Find d, given that 4*d**3 - 24*d**2/7 - 64*d/7 = 0.
-8/7, 0, 2
Solve -3*j**2 + 1056*j = 0.
0, 352
Determine g so that -6*g**4/13 + 184*g**3/13 - 1920*g**2/13 + 7200*g/13 - 4000/13 = 0.
2/3, 10
Suppose 3*y**4 + 141*y**3 + 1248*y**2 - 10140*y = 0. What is y?
-26, 0, 5
Factor 2*u**2 + 62*u + 468.
2*(u + 13)*(u + 18)
Factor -5*w**3 + 930*w**2 - 57660*w + 1191640.
-5*(w - 62)**3
Factor -3*c**3/5 + 56*c**2/5 - 132*c/5 + 64/5.
-(c - 16)*(c - 2)*(3*c - 2)/5
Let -3*d**5 + 9*d**4 + 6*d**3 - 18*d**2 - 3*d + 9 = 0. Calculate d.
-1, 1, 3
Factor 2*n**2 - 928*n/11 + 168/11.
2*(n - 42)*(11*n - 2)/11
Factor -3*s**3 + 9*s**2 - 6*s.
-3*s*(s - 2)*(s - 1)
Solve 4*z**5 + 43*z**4 + 57*z**3 - 61*z**2 - 61*z + 18 = 0.
-9, -2, -1, 1/4, 1
Factor -2*g**4/3 + 6*g**3 - 16*g**2 + 32*g/3.
-2*g*(g - 4)**2*(g - 1)/3
Factor 5*l**3 - 1770*l**2 + 208860*l - 8215160.
5*(l - 118)**3
Suppose -27*m**3 - 213*m**2 + 26*m + 16 = 0. Calculate m.
-8, -2/9, 1/3
Factor 3*s**2/8 - 231*s/8 - 237/4.
3*(s - 79)*(s + 2)/8
Factor -2*o**3/5 + 18*o**2/5 + 24*o/5 - 8.
-2*(o - 10)*(o - 1)*(o + 2)/5
Factor -19*o**2/2 + 113*o/2 + 3.
-(o - 6)*(19*o + 1)/2
Let 14*c**4/5 - 34*c**3 + 24*c**2/5 + 3584*c/5 - 512/5 = 0. Calculate c.
-4, 1/7, 8
Let j**4/10 - j**3 - 13*j**2/10 + 11*j/5 = 0. Calculate j.
-2, 0, 1, 11
Suppose -10*h**4 - 135*h**3 - 295*h**2 - 225*h - 55 = 0. What is h?
-11, -1, -1/2
Find z, given that 3*z**3/5 + 84*z**2/5 + 99*z - 270 = 0.
-15, 2
What is t in 2*t**3 - 12*t**2 + 18*t = 0?
0, 3
Solve -j**3 - 16*j**2 - 84*j - 144 = 0.
-6, -4
Factor -r**4/6 - 5*r**3/3 - 4*r**2/3 + 5*r/3 + 3/2.
-(r - 1)*(r + 1)**2*(r + 9)/6
Factor -5*z**3 + 2385*z**2 - 379215*z + 20098395.
-5*(z - 159)**3
Suppose -2*w**4/7 + 10*w**3/7 - 12*w**2/7 = 0. Calculate w.
0, 2, 3
Let 4*y**4 - 1104*y**3 - 17160*y**2 - 86800*y - 145500 = 0. What is y?
-5, 291
Factor 3*r**5 + 6*r**4 - 96*r**3 - 288*r**2.
3*r**2*(r - 6)*(r + 4)**2
Let -s**4/2 + 395*s**3/2 - 25938*s**2 + 1123848*s + 1149984 = 0. Calculate s.
-1, 132
What is z in -14*z**5/3 + 4*z**4/3 + 14*z**3 + 16*z**2/3 - 8*z/3 = 0?
-1, 0, 2/7, 2
Find t such that -3*t**4 + 66*t**2 + 72*t - 135 = 0.
-3, 1, 5
Factor l**2/4 - 1103*l/4 - 276.
(l - 1104)*(l + 1)/4
Solve 2*c**4/15 - 128*c**3/15 - 4324*c**2/15 + 67968*c/5 + 1691766/5 = 0 for c.
-27, 59
Suppose -5*q**3 + 15495*q**2 - 16006335*q + 5511514685 = 0. What is q?
1033
Solve 3*o**5 - 6*o**4 - 45*o**3 + 24*o**2 + 204*o + 144 = 0.
-2, -1, 3, 4
Suppose -8*h**4 + 61*h**3 + 96*h**2 + 27*h = 0. What is h?
-1, -3/8, 0, 9
Determine a so that 2*a**3/11 + 15624*a**2/11 + 30513672*a/11 = 0.
-3906, 0
Factor -3*c**2/5 - 6708*c/5 + 6711/5.
-3*(c - 1)*(c + 2237)/5
Suppose 3*o**3 + 4014*o**2 + 1790244*o + 266149608 = 0. Calculate o.
-446
Factor -w**2 + 2*w + 63.
-(w - 9)*(w + 7)
Factor 6*g**3 + 104*g**2 + 346*g + 104.
2*(g + 4)*(g + 13)*(3*g + 1)
Determine j, given that j**2/8 + 13*j/8 - 45/4 = 0.
-18, 5
Suppose -2*i**4/5 + 38*i**3/5 + 84*i**2/5 = 0. What is i?
-2, 0, 21
Factor 5*n**4/2 + 65*n**3/2 + 315*n**2/2 + 675*n/