Solve -3*h**2/2 - 24*h - 45/2 = 0 for h.
-15, -1
Factor -n**2/3 - 25*n - 536/3.
-(n + 8)*(n + 67)/3
Let c**3/9 - 11*c**2/3 + 35*c - 75 = 0. What is c?
3, 15
What is f in -87616*f**2 - 1776*f - 9 = 0?
-3/296
Find s such that 9*s**4 - 8958*s**3 - 14952*s**2 - 2994*s + 2991 = 0.
-1, 1/3, 997
Factor -4*a**2/9 - 184*a/9 + 800/9.
-4*(a - 4)*(a + 50)/9
Factor -a**3/4 + 9*a**2/4 + 210*a - 3100.
-(a - 20)**2*(a + 31)/4
Factor 54*a**3 + 483*a**2 + 405*a - 24.
3*(a + 1)*(a + 8)*(18*a - 1)
Factor 5*q**3 - 295*q**2 - 605*q - 305.
5*(q - 61)*(q + 1)**2
What is o in -5*o**5 - 65*o**4 - 170*o**3 + 310*o**2 + 175*o - 245 = 0?
-7, -1, 1
Suppose 15*h**3 - 512*h**2 + 4403*h - 578 = 0. What is h?
2/15, 17
Find o such that o**5/3 - 10*o**3/3 + 3*o = 0.
-3, -1, 0, 1, 3
Factor g**3 - 1043*g**2 - 2090*g.
g*(g - 1045)*(g + 2)
Solve -5*a**2 + 19690*a - 19384805 = 0.
1969
Factor j**2 - 359*j - 360.
(j - 360)*(j + 1)
Find u, given that -3*u**3/2 - 51*u**2 - 867*u/2 = 0.
-17, 0
Factor -2*u**2 + 54*u - 100.
-2*(u - 25)*(u - 2)
Factor -o**3/9 + 7*o**2/9 + 40*o/9 + 44/9.
-(o - 11)*(o + 2)**2/9
Determine l so that -2156*l**5 + 6132*l**4 - 4152*l**3 + 1072*l**2 - 96*l = 0.
0, 3/11, 2/7, 2
Factor -2*p**3/13 - 48*p**2/13 + 102*p/13 - 4.
-2*(p - 1)**2*(p + 26)/13
Solve 56*s**5/3 - 122*s**4 + 896*s**3/3 - 334*s**2 + 488*s/3 - 24 = 0.
1/4, 1, 9/7, 2
Let -2*u**2/3 + 74*u/3 - 140 = 0. Calculate u.
7, 30
What is f in -2*f**4 - 56*f**3 - 288*f**2 - 544*f - 352 = 0?
-22, -2
Factor 3*u**3/4 + 3*u**2 - 9*u/4 - 27/2.
3*(u - 2)*(u + 3)**2/4
Find t, given that -2*t**2/7 - 3246*t/7 - 3244/7 = 0.
-1622, -1
Factor 5*l**2 - 645*l.
5*l*(l - 129)
Factor 4*o**2 - 3504*o + 6992.
4*(o - 874)*(o - 2)
Let 5*m**4 - 25*m**3 + 40*m**2 - 20*m = 0. Calculate m.
0, 1, 2
Factor 3*a**4/2 - 303*a**3/2 - 1980*a**2 - 6102*a.
3*a*(a - 113)*(a + 6)**2/2
Factor -8*j**3/3 - 32*j**2 - 110*j - 350/3.
-2*(j + 7)*(2*j + 5)**2/3
What is t in -2*t**4/5 + 296*t**3/5 - 10952*t**2/5 = 0?
0, 74
Factor 2*f**2/7 - 2683*f/7 + 1341/7.
(f - 1341)*(2*f - 1)/7
Find m, given that 3*m**4/8 - 57*m**3/2 - 219*m**2/4 + 45315*m/2 + 1896075/8 = 0.
-15, 53
Factor 3*a**5/7 + 12*a**4/7 + 9*a**3/7.
3*a**3*(a + 1)*(a + 3)/7
Factor -2*q**2 - 13456*q - 22632992.
-2*(q + 3364)**2
Factor -2*p**2/7 - 2104*p/7 - 553352/7.
-2*(p + 526)**2/7
Factor 3*z**5 - 24*z**4 + 63*z**3 - 66*z**2 + 24*z.
3*z*(z - 4)*(z - 2)*(z - 1)**2
What is s in -2*s**2 + 2 = 0?
-1, 1
Factor 2*l**2 + 232*l - 472.
2*(l - 2)*(l + 118)
Factor -t**5 - 65*t**4 - 1150*t**3 - 3070*t**2 - 2945*t - 961.
-(t + 1)**3*(t + 31)**2
Factor -3*y**3 - 72*y**2 + 561*y + 630.
-3*(y - 7)*(y + 1)*(y + 30)
Determine n, given that 63*n**3 - 183*n**2 - 270*n - 24 = 0.
-1, -2/21, 4
Solve -3*q**3 + 174*q**2 - 2523*q = 0.
0, 29
Suppose 10*t**3 - 124*t**2/5 - 352*t/5 + 192/5 = 0. What is t?
-2, 12/25, 4
Let 3*i**3/5 + 111*i**2/5 - 12*i/5 - 444/5 = 0. Calculate i.
-37, -2, 2
Factor -27*h**3/5 + 279*h**2/5 - 336*h/5 + 108/5.
-3*(h - 9)*(3*h - 2)**2/5
Suppose 4*y**3 - 996*y**2 + 53856*y + 1045440 = 0. Calculate y.
-15, 132
Factor -3*i**5 + 18*i**4 - 27*i**3 + 12*i**2.
-3*i**2*(i - 4)*(i - 1)**2
Determine n so that 2*n**2 - 38*n = 0.
0, 19
Find u, given that u**3 + 35*u**2 + 127*u + 93 = 0.
-31, -3, -1
Solve 655*m**3/6 + 3935*m**2/3 + 3950*m + 60 = 0.
-6, -2/131
What is o in -58*o**2/3 + 10*o/3 + 16 = 0?
-24/29, 1
Let -3*b**4/8 + 21*b**3/8 - 39*b**2/8 - 9*b/8 + 27/4 = 0. What is b?
-1, 2, 3
Suppose 28*d**3 + 116*d**2 + 16*d = 0. What is d?
-4, -1/7, 0
Factor y**2/2 + 255*y + 65025/2.
(y + 255)**2/2
Find n such that -2*n**2 - 44*n = 0.
-22, 0
Factor s**2/2 - 17*s + 93/2.
(s - 31)*(s - 3)/2
Factor -u**2/5 - 5878*u/5 - 8637721/5.
-(u + 2939)**2/5
Determine l, given that -40*l**5 + 874*l**4 + 2056*l**3 + 200*l**2 - 192*l = 0.
-2, -2/5, 0, 1/4, 24
Solve r**4 + 7*r**3 - 57*r**2 - 455*r - 392 = 0.
-7, -1, 8
Factor 5*z**3 - 20*z**2 + 5*z + 30.
5*(z - 3)*(z - 2)*(z + 1)
Determine n, given that -2*n**5/3 - 28*n**4/3 - 110*n**3/3 - 28*n**2/3 + 472*n/3 + 560/3 = 0.
-7, -5, -2, 2
Factor 5*s**4 + 275*s**3 + 2970*s**2 - 24300*s - 27000.
5*(s - 6)*(s + 1)*(s + 30)**2
Suppose -2*l**4/9 + 98*l**3/9 + 46*l**2 + 526*l/9 + 212/9 = 0. What is l?
-2, -1, 53
Factor 2*g**3/3 + 44*g**2/3 - 2*g/3 - 44/3.
2*(g - 1)*(g + 1)*(g + 22)/3
Factor -18*r**4 + 3120*r**3 - 134156*r**2 - 90480*r - 15138.
-2*(r - 87)**2*(3*r + 1)**2
Suppose 10*x**5 + 5*x**4 - 170*x**3 + 275*x**2 - 20*x - 100 = 0. Calculate x.
-5, -1/2, 1, 2
Solve 2*p**5 - 40*p**4 + 256*p**3 - 512*p**2 = 0 for p.
0, 4, 8
Factor -k**2 - 471*k.
-k*(k + 471)
Let x**3/2 + 17*x**2 - 247*x/2 - 140 = 0. Calculate x.
-40, -1, 7
Factor n**3/3 - 14*n**2/3.
n**2*(n - 14)/3
Factor 2*c**3/7 - 92*c**2/7 + 342*c/7 - 36.
2*(c - 42)*(c - 3)*(c - 1)/7
Let 2*y**4/11 + 12*y**3/11 - 2*y**2/11 - 12*y/11 = 0. Calculate y.
-6, -1, 0, 1
Solve 2*b**5/3 - 1568*b**4/3 + 316616*b**3/3 - 3650144*b**2/3 + 14402432*b/3 - 19071488/3 = 0 for b.
4, 386
Determine i so that i**4 + 3*i**3 - 10*i**2 = 0.
-5, 0, 2
Factor -57*q**2 - 2172*q - 228.
-3*(q + 38)*(19*q + 2)
Find k such that -3*k**2 + 102*k/5 + 264/5 = 0.
-2, 44/5
Factor -2*j**3/7 - 50*j**2/7 - 286*j/7 - 34.
-2*(j + 1)*(j + 7)*(j + 17)/7
Solve j**2/3 + 8*j/3 - 209/3 = 0 for j.
-19, 11
Suppose -5*s**3/3 - 173*s**2/3 + 640*s/3 - 76 = 0. What is s?
-38, 2/5, 3
Factor -r**3 - 6*r**2 - 9*r - 4.
-(r + 1)**2*(r + 4)
Determine m, given that -2*m**4 + 14*m**3/3 + 2*m**2/3 - 14*m/3 + 4/3 = 0.
-1, 1/3, 1, 2
Determine g, given that -g**4/2 - 33*g**3/2 - 119*g**2/2 - 87*g/2 = 0.
-29, -3, -1, 0
Factor -5*a**2 - 25*a + 70.
-5*(a - 2)*(a + 7)
Solve 63*h**4/8 - 879*h**3/8 + 771*h**2/8 + 123*h/8 - 39/4 = 0 for h.
-1/3, 2/7, 1, 13
Suppose c**2/4 - 5*c/4 + 1 = 0. Calculate c.
1, 4
Factor k**2/5 + 28*k/5.
k*(k + 28)/5
Suppose -7*v**5/5 - 47*v**4/5 - 84*v**3/5 - 28*v**2/5 + 16*v/5 = 0. Calculate v.
-4, -2, -1, 0, 2/7
Find a such that 172*a**2 - 524*a + 24 = 0.
2/43, 3
Factor -2*p**3/3 + 22*p**2/3 - 20*p/3.
-2*p*(p - 10)*(p - 1)/3
What is r in 10*r**3 + 235*r**2 + 510*r - 315 = 0?
-21, -3, 1/2
Factor -5*o**2 + 750*o - 8280.
-5*(o - 138)*(o - 12)
Factor -6*q**3/5 - 522*q**2/5 - 1992*q/5.
-6*q*(q + 4)*(q + 83)/5
Solve 4*r**2 + 23056*r + 33223696 = 0 for r.
-2882
Factor 12*x**3 - 15*x**2 - 141*x + 36.
3*(x - 4)*(x + 3)*(4*x - 1)
Solve -2*o**3/5 + 858*o**2/5 - 2556*o/5 = 0.
0, 3, 426
Suppose -v**4 + 13*v**3 + 118*v**2 - 52*v - 456 = 0. Calculate v.
-6, -2, 2, 19
Factor -3*k**3 + 354*k**2 - 1380*k + 1368.
-3*(k - 114)*(k - 2)**2
Let -x**2/5 - 38*x/5 + 43 = 0. What is x?
-43, 5
Factor -2*q**2/13 - 452*q/13 - 450/13.
-2*(q + 1)*(q + 225)/13
Suppose l**2/3 - 44*l + 1452 = 0. What is l?
66
Suppose 2*a**3 - 218*a**2 + 430*a - 214 = 0. Calculate a.
1, 107
Factor 8*t**2 + 60*t + 225/2.
(4*t + 15)**2/2
Factor -2*w**3 + 26*w**2 + 508*w + 480.
-2*(w - 24)*(w + 1)*(w + 10)
Factor -35*k**2 + 27415*k - 7830.
-5*(k - 783)*(7*k - 2)
Factor -6*n**4/5 - 116*n**3/5 - 38*n**2/5.
-2*n**2*(n + 19)*(3*n + 1)/5
What is w in 3*w**3 - 3561*w**2 + 1058505*w - 1054947 = 0?
1, 593
Find v, given that 12*v**2 - 585*v - 147 = 0.
-1/4, 49
Determine z so that 3*z**3 + 234*z**2/5 + 864*z/5 - 384/5 = 0.
-8, 2/5
Find l such that -448*l**5 + 400*l**4 + 337*l**3 - 391*l**2 + 111*l - 9 = 0.
-1, 1/7, 3/8, 1
Factor 2*j**3/13 + 46*j**2/13 + 6*j - 126/13.
2*(j - 1)*(j + 3)*(j + 21)/13
Find t, given that 5*t**2 - 290*t = 0.
0, 58
Suppose -a**2/2 + 8*a + 57/2 = 0. What is a?
-3, 19
Let 5*r**4 + 725*r**3 + 715*r**2 - 725*r - 720 = 0. Calculate r.
-144, -1, 1
Factor d**2/2 - 22*d - 45/2.
(d - 45)*(d + 1)/2
Factor -j**3 - 3*j**2 + 6*j + 8.
-(j - 2)*(j + 1)*(j + 4)
Solve v**5 + 14*v**4 + 73*v**3 + 172*v**2 + 176*v + 64 = 0 for v.
-4, -1
Factor 3*k**5 - 177*k**4 + 2697*k**3 - 2523*k**2.
3*k**2*(k - 29)**2*(k - 1)
Factor 4*b**3 - 3640*b**2 - 14608*b - 14624.
4*(b - 914)*(b + 2)**2
Determine p, given that -3*p**5/4 - 69*p**4/4 - 60*p**3 - 57*p**2 = 0.
-19, -2, 0
Solve -21*q**5 - 9*q**4 + 954*q**3/7 - 516*q**2/7 + 72*q/7 = 0 for q.
-3, 0, 2/7, 2
Factor 5*b**2/2 - 255*b/2 - 10105.
5*(b - 94)*(b + 43)/2
Suppose 5*y**3 - 20*y**2 - 3245*y - 3220 = 0. What is y?
-23, -1, 28
Solve -2*z**5 + 20*z**4 - 58*z**3 + 16*z**2 + 96*z = 0 for z.
-1, 0, 3, 4
Suppose 5*z**3 - 275*z**2 + 260*z + 540 = 0. Calculate z.
-1, 2, 54
Factor 74*x**2 - 2*x.
2*x*(37*x