+ 120 = 0?
-3, -2/5, 1, 2, 5
Factor 2*s**3/15 + 178*s**2/15 - 364*s/15.
2*s*(s - 2)*(s + 91)/15
Determine k so that -5*k**4 + 870*k**3 + 15*k**2 - 2620*k + 1740 = 0.
-2, 1, 174
Determine x so that -2*x**3 - 1166*x**2 + 1168*x = 0.
-584, 0, 1
Factor 4563*f**4 - 287937*f**3 + 29496*f**2 - 756*f.
3*f*(f - 63)*(39*f - 2)**2
Let -12*d**2 - 51*d - 45 = 0. What is d?
-3, -5/4
Factor -5*y**3/3 - 115*y**2/3 - 110*y/3.
-5*y*(y + 1)*(y + 22)/3
Factor -2*p**4/5 + 6*p**3/5 + 12*p**2/5 - 56*p/5 + 48/5.
-2*(p - 2)**3*(p + 3)/5
Find h such that 2*h**5/7 + 46*h**4/7 + 208*h**3/7 - 256*h**2/7 = 0.
-16, -8, 0, 1
Factor -3*n**3 + 3843*n**2 - 1232640*n + 1228800.
-3*(n - 640)**2*(n - 1)
Factor -2*i**2 + 8338*i.
-2*i*(i - 4169)
Suppose 2*x**5/7 + 2812*x**4/7 + 1319762*x**3/7 + 207637560*x**2/7 + 411327072*x/7 + 205006464/7 = 0. What is x?
-468, -1
Factor g**2/3 - 3*g - 22/3.
(g - 11)*(g + 2)/3
Solve -2*w**5/15 - 22*w**4/15 + 88*w**3/15 + 32*w**2/15 - 64*w/3 + 224/15 = 0.
-14, -2, 1, 2
Find j, given that -4*j**2 + 1240*j - 96100 = 0.
155
Determine c, given that c**4/2 + 8*c**3 - 49*c**2/2 - 122*c - 90 = 0.
-18, -2, -1, 5
Find t such that 5*t**5 - 38*t**4 + 14*t**3 + 52*t**2 - 19*t - 14 = 0.
-1, -2/5, 1, 7
Suppose -3*t**5 + 45*t**3 - 30*t**2 - 72*t = 0. What is t?
-4, -1, 0, 2, 3
Factor 3*x**3/4 + 3*x**2/4 - 3*x/2.
3*x*(x - 1)*(x + 2)/4
Find n, given that -12*n**3 - 272*n**2 - 428*n - 168 = 0.
-21, -1, -2/3
Let d**2/2 - 17*d + 225/2 = 0. Calculate d.
9, 25
Factor d**5/4 - 3*d**4 - 11*d**3/2 + 32*d**2 - 147*d/4 + 13.
(d - 13)*(d - 1)**3*(d + 4)/4
Solve -t**5 - 2*t**4 + 28*t**3 + 8*t**2 - 96*t = 0 for t.
-6, -2, 0, 2, 4
Factor 7*b**4/6 - b**3/3 - 7*b**2/6 + b/3.
b*(b - 1)*(b + 1)*(7*b - 2)/6
Factor 2*i**2/5 - 146*i/5 + 552/5.
2*(i - 69)*(i - 4)/5
Determine h so that -h**4/3 - h**3/3 + 5*h**2/3 - h = 0.
-3, 0, 1
Factor -3*b**2/4 - 2013*b/2 - 1350723/4.
-3*(b + 671)**2/4
Factor 3*f**4 + 3*f**3 - 18*f**2 - 12*f + 24.
3*(f - 2)*(f - 1)*(f + 2)**2
Suppose 3*l**5/2 + 8*l**4 - 8*l**3 - 11*l**2 + 13*l/2 + 3 = 0. Calculate l.
-6, -1, -1/3, 1
Factor r**5/5 + r**4/5 - 3*r**3/5 - r**2 - 2*r/5.
r*(r - 2)*(r + 1)**3/5
Determine i so that -i**5 - 26*i**4 + 31*i**3 + 104*i**2 - 108*i = 0.
-27, -2, 0, 1, 2
Factor 4*w**4/5 + 16*w**3/5 + 4*w**2 + 8*w/5.
4*w*(w + 1)**2*(w + 2)/5
Factor 3*l**2/8 + 15*l - 123/8.
3*(l - 1)*(l + 41)/8
Find r such that r**4/5 + 3*r**3/5 - 4*r/5 = 0.
-2, 0, 1
Factor 5*k**2/2 + 25*k - 55/2.
5*(k - 1)*(k + 11)/2
Factor -m**2/2 - 2587*m - 6692569/2.
-(m + 2587)**2/2
Factor 2*u**4/5 + 342*u**3/5 + 1014*u**2/5 + 202*u + 336/5.
2*(u + 1)**3*(u + 168)/5
Factor -q**2/5 - 72*q/5 - 91.
-(q + 7)*(q + 65)/5
Suppose -2*t**4/3 + t**3 + 7*t**2/3 - 4*t + 4/3 = 0. Calculate t.
-2, 1/2, 1, 2
Solve -2*i**3 + 6*i**2 - 6*i + 2 = 0.
1
Determine r so that -r**4/4 + 36*r**3 - 2797*r**2/2 + 7314*r - 23805/4 = 0.
1, 5, 69
Find z such that -2*z**2 - 116*z = 0.
-58, 0
Determine h so that 3*h**3 + 30*h**2 + 63*h = 0.
-7, -3, 0
Let 10*g**2/11 - 896*g/11 - 360/11 = 0. Calculate g.
-2/5, 90
Factor 5*n**4 - 3180*n**3 + 515070*n**2 - 3005100*n + 4465125.
5*(n - 315)**2*(n - 3)**2
Find i such that i**4 - 448*i**3 + 50175*i**2 + 448*i - 50176 = 0.
-1, 1, 224
Find x, given that -x**4 + 102*x**3 - 2385*x**2 - 11236*x = 0.
-4, 0, 53
Determine g, given that -64*g**5 + 2400*g**4 - 21860*g**3 - 12620*g**2 + 10260*g - 1444 = 0.
-1, 1/4, 19
Determine c, given that 30*c**3/13 - 92*c**2/13 + 2*c/13 + 12/13 = 0.
-1/3, 2/5, 3
Factor a**4/10 - 5*a**3/2 - 204*a**2/5 - 666*a/5.
a*(a - 37)*(a + 6)**2/10
Factor -5*m**3 - 155*m**2 - 275*m + 435.
-5*(m - 1)*(m + 3)*(m + 29)
Find v, given that -3*v**2 - 1332*v - 147852 = 0.
-222
Factor v**3/4 + 21*v**2/4 + 30*v + 25.
(v + 1)*(v + 10)**2/4
Let 3*k**2 - 112*k + 37 = 0. Calculate k.
1/3, 37
Suppose -2*d**5/15 - 4*d**4/5 + 146*d**3/15 - 428*d**2/15 + 168*d/5 - 208/15 = 0. What is d?
-13, 1, 2
Factor 2*f**4/5 + 196*f**3/5 + 6528*f**2/5 + 77824*f/5 + 131072/5.
2*(f + 2)*(f + 32)**3/5
Determine p so that -p**2/2 - 9*p - 65/2 = 0.
-13, -5
Determine c so that -2*c**5 + 24*c**4 - 74*c**3 + 84*c**2 - 32*c = 0.
0, 1, 2, 8
Factor 4*y**2 - 9*y/2 + 1/2.
(y - 1)*(8*y - 1)/2
Determine j, given that 3*j**3 - 21*j**2 - 12*j + 84 = 0.
-2, 2, 7
Solve -40*n**3 - 465*n**2 + 180*n = 0 for n.
-12, 0, 3/8
What is w in 30*w**3 + 489*w**2 + 1314*w + 351 = 0?
-13, -3, -3/10
Factor -24*n**3 - 135*n**2 - 138*n + 72.
-3*(n + 2)*(n + 4)*(8*n - 3)
Suppose -5*y**2 - 160*y - 155 = 0. Calculate y.
-31, -1
Factor 5*f**3/2 - 12*f**2 - 5*f/2.
f*(f - 5)*(5*f + 1)/2
Factor -d**3/9 + 2*d**2 - 32*d/3 + 128/9.
-(d - 8)**2*(d - 2)/9
Determine h, given that -2*h**2/7 - 362*h/7 - 4056/7 = 0.
-169, -12
Factor 5*l**3/2 - 763*l**2/2 - 538*l - 154.
(l - 154)*(l + 1)*(5*l + 2)/2
Factor 2*l**2 - 8.
2*(l - 2)*(l + 2)
Let -10*j**3/3 - 6*j**2 - 2*j + 2/3 = 0. Calculate j.
-1, 1/5
Factor -5*b**3 - 15*b**2 - 10*b.
-5*b*(b + 1)*(b + 2)
Let 3*l**2 - 3477*l = 0. What is l?
0, 1159
Factor -s**3/4 + 13*s**2/4 - 9*s.
-s*(s - 9)*(s - 4)/4
Let 2*j**2/9 - 712*j/9 = 0. What is j?
0, 356
Find b such that -3*b**3/4 + 945*b**2/2 - 74889*b + 147894 = 0.
2, 314
Factor -6*w**2/17 - 14*w - 1740/17.
-2*(w + 30)*(3*w + 29)/17
Factor 5*g**4 + 1250*g**3 + 104580*g**2 + 2962270*g + 2858935.
5*(g + 1)*(g + 83)**3
Find g such that 2*g**4 + 68*g**3 + 106*g**2 - 728*g - 768 = 0.
-32, -4, -1, 3
Factor -x**4 + 15*x**3 + 121*x**2 + 105*x.
-x*(x - 21)*(x + 1)*(x + 5)
Factor 2*d**3 - 210*d**2 + 7350*d - 85750.
2*(d - 35)**3
What is i in -2*i**5/13 - 4*i**4/13 + 40*i**3/13 + 80*i**2/13 - 128*i/13 - 256/13 = 0?
-4, -2, 2, 4
Solve -2*q**5 + 10*q**4 - 8*q**3 = 0 for q.
0, 1, 4
Factor -2*t**3/5 + 4*t**2/5 + 38*t/5 - 8.
-2*(t - 5)*(t - 1)*(t + 4)/5
Suppose c**2 - 3*c + 2 = 0. What is c?
1, 2
Let -t**3/3 + 122*t**2/3 + 125*t/3 - 82 = 0. What is t?
-2, 1, 123
Factor -2*x**2/3 - 3644*x/3 - 1659842/3.
-2*(x + 911)**2/3
Let 4*z**3/3 + 8*z**2/3 - 44*z/3 - 16 = 0. What is z?
-4, -1, 3
Suppose -q**3 + 36*q**2 - 159*q + 124 = 0. Calculate q.
1, 4, 31
Find w, given that 2*w**5 + 102*w**4 + 1894*w**3 + 15394*w**2 + 50592*w + 36992 = 0.
-17, -8, -1
What is h in h**3/3 + 3154*h**2/3 + 2486929*h/3 = 0?
-1577, 0
Determine t so that 2*t**3/3 + 544*t**2/3 - 1096*t/3 = 0.
-274, 0, 2
Determine p so that -10*p**3 - 628*p**2 - 1226*p - 608 = 0.
-304/5, -1
Find o, given that 4*o**5/15 + 10*o**4/3 + 58*o**3/5 + 262*o**2/15 + 182*o/15 + 16/5 = 0.
-8, -3/2, -1
Suppose -4*x**3 + 32*x**2 + 4*x - 32 = 0. What is x?
-1, 1, 8
Factor -7*s**2/5 + 621*s/5 + 178/5.
-(s - 89)*(7*s + 2)/5
Solve 3*f**4 - 18*f**3 + 12*f**2 + 18*f - 15 = 0 for f.
-1, 1, 5
Let 2*o**4/9 + 8*o**3/3 + 40*o**2/9 = 0. What is o?
-10, -2, 0
Let -27*a**3 - 96*a**2 + 816*a = 0. Calculate a.
-68/9, 0, 4
Factor 2*i**2/15 - 4*i/5 - 22/3.
2*(i - 11)*(i + 5)/15
Factor -y**3/9 + 13*y/9 - 4/3.
-(y - 3)*(y - 1)*(y + 4)/9
Factor -5*c**2 - 200*c - 2000.
-5*(c + 20)**2
Factor -5*y**2 - 1210*y - 2400.
-5*(y + 2)*(y + 240)
Factor -2*i**3/9 - 8*i**2/9 + 14*i/9 + 20/9.
-2*(i - 2)*(i + 1)*(i + 5)/9
Factor 2*l**5/7 + 8*l**4/7 - 4*l**2 - 34*l/7 - 12/7.
2*(l - 2)*(l + 1)**3*(l + 3)/7
Factor r**3/7 + 4*r**2/7 + 4*r/7.
r*(r + 2)**2/7
Factor 2*z**4 - 15*z**3 - 3*z**2 + 155*z - 75.
(z - 5)**2*(z + 3)*(2*z - 1)
Determine l, given that -15*l**3 - 171*l**2 + 1134*l + 480 = 0.
-16, -2/5, 5
Suppose 18*b**5/11 + 90*b**4/11 + 76*b**3/11 + 16*b**2/11 = 0. Calculate b.
-4, -2/3, -1/3, 0
Determine r so that r**4/3 + 28*r**3/3 - 29*r**2/3 = 0.
-29, 0, 1
Factor -6*s**2 - 663*s - 330.
-3*(s + 110)*(2*s + 1)
Factor 5*i**4 + 140*i**3 + 1360*i**2 + 5200*i + 6000.
5*(i + 2)*(i + 6)*(i + 10)**2
Solve -2*j**4/3 + 76*j**3/3 + 152*j**2 - 1132*j/3 + 602/3 = 0 for j.
-7, 1, 43
Find r, given that r**5/3 + 5*r**4/3 - 2*r**3/3 - 8*r**2 = 0.
-4, -3, 0, 2
Factor -2*k**2 - 37*k/4 + 15/4.
-(k + 5)*(8*k - 3)/4
Solve 2*n**5/7 - 144*n**4/7 - 6*n**3/7 + 436*n**2/7 - 288*n/7 = 0 for n.
-2, 0, 1, 72
Factor 2*y**4 + 8*y**3 - 4*y**2 - 24*y + 18.
2*(y - 1)**2*(y + 3)**2
Factor -2*z**2/5 + 352*z/5 + 354/5.
-2*(z - 177)*(z + 1)/5
Suppose -25*d**4 + 205*d**3 + 231*d**2 - 477*d + 162 = 0. What is d?
-2, 3/5, 9
Determine o so that -3*o**2 - 690*o - 1368 = 0.
-228, -2
What is n in 4*n**3 - 552*n**2 + 18480*n + 39200 = 0?
-2, 70
Solve -3*z**2 - 54*z - 51 = 0 for z.
-17, -1
Solve 4*f**3 