- 1036)*(j - 1)*(j + 2)
Solve 5*y**2 - 60*y - 65 = 0.
-1, 13
Determine u, given that -4*u**2/3 + 512*u/9 + 172/9 = 0.
-1/3, 43
Suppose 10*r**5 - 25*r**4 - 5*r**3 + 35*r**2 - 5*r - 10 = 0. Calculate r.
-1, -1/2, 1, 2
Factor 7*q**2/6 + 415*q/6 + 59/3.
(q + 59)*(7*q + 2)/6
Factor q**5/5 + 2*q**4/5 - 8*q**3/5 - 16*q**2/5 + 16*q/5 + 32/5.
(q - 2)**2*(q + 2)**3/5
What is a in 4*a**5 - 84*a**4 + 540*a**3 - 956*a**2 - 288*a + 1296 = 0?
-1, 2, 9
Factor -5*f**2 - 5355*f - 16020.
-5*(f + 3)*(f + 1068)
Factor 3*m**4 + 25*m**3 + 54*m**2 - 32.
(m + 1)*(m + 4)**2*(3*m - 2)
Solve 3*g**3/2 + 1161*g**2 + 299538*g + 25760268 = 0 for g.
-258
Determine d so that 25*d**5 + 60*d**4 - 655*d**3 + 1030*d**2 - 180*d - 280 = 0.
-7, -2/5, 1, 2
Suppose l**4 + 37*l**3/5 + 64*l**2/5 + 4*l = 0. Calculate l.
-5, -2, -2/5, 0
Determine u so that 8281*u**5 + 182*u**4 - 8280*u**3 - 182*u**2 - u = 0.
-1, -1/91, 0, 1
Factor -3*q**2/5 - 24*q/5 - 36/5.
-3*(q + 2)*(q + 6)/5
Factor 3*d**4 + 225*d**3 - 1434*d**2 + 1944*d.
3*d*(d - 4)*(d - 2)*(d + 81)
Factor -3*a**3 + 57*a**2 - 192*a + 180.
-3*(a - 15)*(a - 2)**2
What is t in 5*t**4 - 10*t**3 - 5*t**2 + 10*t = 0?
-1, 0, 1, 2
Solve -2*g**4/15 - 32*g**3/15 - 28*g**2/5 + 144*g/5 + 162/5 = 0 for g.
-9, -1, 3
Suppose 2*g**4/7 - 180*g**3/7 + 3866*g**2/7 + 8280*g/7 + 4232/7 = 0. Calculate g.
-1, 46
Suppose -6*d**3/11 + 14*d**2 + 574*d/11 + 174/11 = 0. Calculate d.
-3, -1/3, 29
Find q, given that 4*q**3 + 368*q**2 - 752*q = 0.
-94, 0, 2
Let -w**5 + 12*w**4 - 57*w**3 + 134*w**2 - 156*w + 72 = 0. Calculate w.
2, 3
Find p, given that p**3/7 + 5*p**2/7 + 2*p/7 - 8/7 = 0.
-4, -2, 1
Factor -2*t**2 - 236*t - 6962.
-2*(t + 59)**2
Determine p so that -2*p**4 + 94*p**3 + 508*p**2 + 624*p = 0.
-3, -2, 0, 52
Determine q, given that -3*q**2/7 + 12/7 = 0.
-2, 2
Factor -3*i**2 - 90*i - 528.
-3*(i + 8)*(i + 22)
Factor -28*f**4/5 + 48*f**3/5 + 16*f**2/5.
-4*f**2*(f - 2)*(7*f + 2)/5
Let -27*q**4/4 + 207*q**3/4 + 681*q**2/4 - 519*q/4 + 45/2 = 0. Calculate q.
-3, 1/3, 10
Suppose 5*d**3 + 60*d**2 + 105*d - 490 = 0. Calculate d.
-7, 2
Find y such that -2*y**3/9 + 2*y**2/3 + 4*y = 0.
-3, 0, 6
Factor -a**2/9 + 271*a/9 + 272/9.
-(a - 272)*(a + 1)/9
Factor -z**2 - 1490*z - 555025.
-(z + 745)**2
Find i such that -5*i**4 + 1608*i**3 - 130556*i**2 + 203520*i + 102400 = 0.
-2/5, 2, 160
Let -2*h**5/3 - 2*h**4/3 = 0. What is h?
-1, 0
Determine c so that -44*c**2 - 520*c = 0.
-130/11, 0
Find b, given that b**2/3 - 78*b - 237 = 0.
-3, 237
Factor -i**2/5 + 4*i/5 - 3/5.
-(i - 3)*(i - 1)/5
Factor 16*v**5 - 92*v**4 + 168*v**3 - 80*v**2 - 32*v.
4*v*(v - 2)**3*(4*v + 1)
Find x such that -3*x**2/5 + 84*x/5 - 396/5 = 0.
6, 22
Determine k, given that 2*k**5/5 - 6*k**3/5 - 4*k**2/5 = 0.
-1, 0, 2
Factor t**5/2 - 2*t**4 - 2*t**3 + 8*t**2.
t**2*(t - 4)*(t - 2)*(t + 2)/2
Factor x**4/4 - 22*x**3 - 9*x**2/4 + 198*x.
x*(x - 88)*(x - 3)*(x + 3)/4
Factor 5*k**4 - 555*k**3 + 15675*k**2 - 15125*k.
5*k*(k - 55)**2*(k - 1)
Factor -k**3/6 + 15*k**2/2 - 161*k/2 - 529/6.
-(k - 23)**2*(k + 1)/6
Factor 5*q**5 - 60*q**4 + 240*q**3 - 320*q**2.
5*q**2*(q - 4)**3
Find h such that -5*h**2 + 80*h + 85 = 0.
-1, 17
Factor 3*h**4/8 - 3*h**3/8.
3*h**3*(h - 1)/8
Factor -p**2 - 73*p + 150.
-(p - 2)*(p + 75)
Factor -2*v**2/9 + 232*v/3 - 6728.
-2*(v - 174)**2/9
Factor 2*n**4/15 + 2*n**3/5 + 4*n**2/15.
2*n**2*(n + 1)*(n + 2)/15
Factor -f**5 + 7*f**4 - 18*f**3 + 22*f**2 - 13*f + 3.
-(f - 3)*(f - 1)**4
Factor -5*g**2 + 385*g - 5100.
-5*(g - 60)*(g - 17)
Factor 5*l**3 - 5*l**2 - 10*l.
5*l*(l - 2)*(l + 1)
Determine g so that 12956*g**2 + 1124*g + 24 = 0.
-2/41, -3/79
Factor -48*i**3 - 20*i**2 + 136*i - 32.
-4*(i + 2)*(3*i - 4)*(4*i - 1)
Solve -d**4/2 - 3*d**3 - 5*d**2/2 = 0 for d.
-5, -1, 0
Let 2*t**4/7 - 4*t**2/7 + 2/7 = 0. Calculate t.
-1, 1
Factor 2*p**4 + 1366*p**3 + 4086*p**2 + 4082*p + 1360.
2*(p + 1)**3*(p + 680)
Factor -o**3/2 + 95*o**2/2 + 193*o/2 + 97/2.
-(o - 97)*(o + 1)**2/2
Find q such that 2*q**5/7 + 50*q**4/7 + 44*q**3/7 - 96*q**2/7 = 0.
-24, -2, 0, 1
Factor 10*l**3/9 - 526*l**2/9 + 308*l/9 + 208/9.
2*(l - 52)*(l - 1)*(5*l + 2)/9
Suppose 2*w**3/7 - 62*w**2/7 + 608*w/7 - 1920/7 = 0. What is w?
8, 15
Solve k**3 - 110*k**2 - k + 110 = 0.
-1, 1, 110
Let -2*h**4/3 + 302*h**3/3 - 11248*h**2/3 - 11552*h/3 = 0. Calculate h.
-1, 0, 76
Solve 5*k**5 + 10*k**4 - 55*k**3 - 20*k**2 + 140*k - 80 = 0.
-4, -2, 1, 2
Factor 2*z**4/9 + 266*z**3/9 - 268*z**2/9.
2*z**2*(z - 1)*(z + 134)/9
Factor -y**2/2 - 2*y + 5/2.
-(y - 1)*(y + 5)/2
Factor v**3/6 + v**2/2 - v/6 - 1/2.
(v - 1)*(v + 1)*(v + 3)/6
Factor m**3/6 + m**2/2 + m/3.
m*(m + 1)*(m + 2)/6
Solve -x**2/3 + 520*x/3 - 67600/3 = 0 for x.
260
Factor 16*y**4 - 32*y**3 - 12*y**2 + 20*y + 8.
4*(y - 2)*(y - 1)*(2*y + 1)**2
Factor q**2 + 16*q - 561.
(q - 17)*(q + 33)
Factor 2*q**3/9 - 46*q**2/9 + 40*q/9 + 88/9.
2*(q - 22)*(q - 2)*(q + 1)/9
Suppose 4*v**5/5 - 32*v**4/5 + 52*v**3/5 + 104*v**2/5 - 256*v/5 + 128/5 = 0. What is v?
-2, 1, 4
Determine q, given that q**2/3 + 14*q/3 + 11 = 0.
-11, -3
Factor -3*b**2 - 24*b + 99.
-3*(b - 3)*(b + 11)
Suppose p**5 - 15*p**4 + 58*p**3 - 84*p**2 + 40*p = 0. Calculate p.
0, 1, 2, 10
Factor -z**3/2 + 9*z**2 - 48*z + 64.
-(z - 8)**2*(z - 2)/2
Factor 5*j**2 + 6100*j + 1860500.
5*(j + 610)**2
Factor d**3/2 - 132*d**2 - 535*d/2 + 399.
(d - 266)*(d - 1)*(d + 3)/2
Find c, given that c**4/2 + 3*c**3 + c**2/2 - 12*c + 8 = 0.
-4, 1
Factor n**2/8 + 13*n + 338.
(n + 52)**2/8
Factor 159*r**2/4 - 321*r/4 + 3/2.
3*(r - 2)*(53*r - 1)/4
Determine j so that 2*j**5/15 - 4*j**4/15 - 2*j**3/3 + 4*j**2/3 + 8*j/15 - 16/15 = 0.
-2, -1, 1, 2
Factor 10*v**2 + 58*v/5 + 8/5.
2*(v + 1)*(25*v + 4)/5
Factor 2*w**3/3 - 56*w**2/9 - 106*w/9 - 44/9.
2*(w - 11)*(w + 1)*(3*w + 2)/9
Let 5*a**2 + 1800*a + 1795 = 0. What is a?
-359, -1
Factor -g**2/9 - 76*g/9.
-g*(g + 76)/9
Factor -3*d**4 + 51*d**3 + 9*d**2 - 147*d - 102.
-3*(d - 17)*(d - 2)*(d + 1)**2
Determine x, given that 24*x**5/7 - 729*x**4/7 + 138*x**3 - 261*x**2/7 = 0.
0, 3/8, 1, 29
Solve -5*n**4 - 85*n**3 + 185*n**2 - 95*n = 0 for n.
-19, 0, 1
Suppose -3*s**4/5 + 96*s**3 - 477*s**2/5 = 0. What is s?
0, 1, 159
Factor 2*i**2 + 143*i - 370.
(i + 74)*(2*i - 5)
Let -o**4/3 + 35*o**3/3 - 128*o**2 + 1148*o/3 + 1568/3 = 0. What is o?
-1, 8, 14
Factor 224*q**2 - 220*q - 4.
4*(q - 1)*(56*q + 1)
Factor 4*g**3/5 + 52*g**2/5 - 4*g/5 - 52/5.
4*(g - 1)*(g + 1)*(g + 13)/5
Suppose 3*x**5/7 + 36*x**4/7 + 51*x**3/7 - 594*x**2/7 - 972*x/7 + 3240/7 = 0. What is x?
-6, -5, 2, 3
Find w, given that 4*w**4 + 20*w**3 - 244*w**2 + 220*w = 0.
-11, 0, 1, 5
What is t in -5*t**4 - 25*t**3 + 15*t**2 + 65*t - 50 = 0?
-5, -2, 1
Factor 5*p**5 - 25*p**4 + 15*p**3 + 25*p**2 - 20*p.
5*p*(p - 4)*(p - 1)**2*(p + 1)
Find f such that -2*f**5 + 8*f**4 - 10*f**3 + 4*f**2 = 0.
0, 1, 2
Suppose -3*f**5 - 69*f**4 - 105*f**3 + 465*f**2 + 468*f - 756 = 0. What is f?
-21, -3, -2, 1, 2
Factor k**2/2 - 3398*k + 5773202.
(k - 3398)**2/2
Factor 5*d**2 + 410*d + 8405.
5*(d + 41)**2
Factor -3*l**2/2 + 168*l + 2646.
-3*(l - 126)*(l + 14)/2
Find l, given that 5*l**2 + 125*l + 230 = 0.
-23, -2
Factor v**5 - 4*v**4 - 3*v**3 + 18*v**2.
v**2*(v - 3)**2*(v + 2)
Suppose -2*y**3/11 + 190*y**2/11 - 188*y/11 = 0. Calculate y.
0, 1, 94
Determine p so that -2*p**3 - 82*p**2 - 302*p - 222 = 0.
-37, -3, -1
Factor -u**2/3 + 14*u/3 - 16.
-(u - 8)*(u - 6)/3
Solve -d**2 + 353*d - 2082 = 0.
6, 347
Find i such that 49*i**3/4 + 3549*i**2/4 - 510*i + 73 = 0.
-73, 2/7
Find s, given that -6*s**3/5 + 11016*s**2/5 + 4410*s + 11028/5 = 0.
-1, 1838
Solve l**2/8 + 5*l/8 + 1/2 = 0 for l.
-4, -1
Factor -15*n**2/4 + 9*n/4 + 6.
-3*(n + 1)*(5*n - 8)/4
Determine v, given that 3*v**2 - 147*v - 1566 = 0.
-9, 58
Let h**5/10 - 39*h**4/5 - 3*h**3/10 + 116*h**2/5 + 78*h/5 = 0. Calculate h.
-1, 0, 2, 78
Factor 2*o**2/15 - 12*o/5 + 64/15.
2*(o - 16)*(o - 2)/15
Let -3*q**4 + 717*q**3 + 2178*q**2 + 12*q - 2904 = 0. What is q?
-2, 1, 242
Factor -2*g**3/9 - 92*g**2/9 + 2*g/9 + 92/9.
-2*(g - 1)*(g + 1)*(g + 46)/9
Determine h, given that 84*h**5 - 1144*h**4 - 548*h**3 + 1368*h**2 + 464*h - 224 = 0.
-1, -2/3, 2/7, 1, 14
Let 3*r**3/5 + 132*r**2 - 2001*r/5 + 1338/5 = 0. What is r?
-223, 1, 2
Factor -2*x**2/7 + 234*x/7 - 3880/7.
-2*(x - 97)*(x - 20)/7
Factor g**4/6 - 2*g**3 + 25*g**2/3 - 14*g + 15/2.
(g - 5)*(g - 3)**2*(g - 1)/6
Factor 4