5, 1
Factor 3*x**5/5 - 12*x**4/5 + 9*x**3/5.
3*x**3*(x - 3)*(x - 1)/5
Factor 5*o**3 + 35*o**2 + 50*o.
5*o*(o + 2)*(o + 5)
Factor -r**4 - 8*r**3 - 9*r**2 + 18*r.
-r*(r - 1)*(r + 3)*(r + 6)
Let u**3 + 20*u**2 - 121*u + 100 = 0. What is u?
-25, 1, 4
Find q, given that -2*q**3 + 22*q**2 + 536*q - 1144 = 0.
-13, 2, 22
Solve -2*l**4 + 14*l**3 - 20*l**2 = 0.
0, 2, 5
Determine v, given that 2*v**2 - 706*v = 0.
0, 353
Suppose 39762*s**5/5 + 23406*s**4 - 6736*s**3/5 - 158952*s**2/5 + 9024*s/5 - 128/5 = 0. What is s?
-2, 4/141, 1
Let -2*a**2 + 466*a = 0. Calculate a.
0, 233
Suppose 11*k**3/7 - 831*k**2 + 4750*k/7 + 1056/7 = 0. Calculate k.
-2/11, 1, 528
Factor -4*t**2/3 - 56*t/3 - 52/3.
-4*(t + 1)*(t + 13)/3
Factor j**2/2 + 413*j + 170569/2.
(j + 413)**2/2
Factor -n**4 - 56*n**3 - 717*n**2 + 2146*n + 6728.
-(n - 4)*(n + 2)*(n + 29)**2
Factor 3*d**3 + 2637*d**2 + 772641*d + 75461271.
3*(d + 293)**3
Factor -2*w**3 - 18*w**2 + 18*w + 162.
-2*(w - 3)*(w + 3)*(w + 9)
Suppose -3*f**4 - 72*f**3 - 135*f**2 + 4050*f = 0. Calculate f.
-15, 0, 6
Factor 3*u**5 - 9*u**4 - 12*u**3.
3*u**3*(u - 4)*(u + 1)
Suppose -4*b**2 - 64*b + 68 = 0. Calculate b.
-17, 1
Find u such that 338*u**2 + 936*u + 648 = 0.
-18/13
Solve -w**3/10 + 3*w**2/10 + w = 0.
-2, 0, 5
Find a, given that -3*a**3 + 213*a**2 - 4257*a + 16335 = 0.
5, 33
Factor 2*n**3/7 - 478*n**2/7 + 3728*n/7 - 1056.
2*(n - 231)*(n - 4)**2/7
Find x, given that -x**5 + 99*x**4 - 3267*x**3 + 35937*x**2 = 0.
0, 33
Let -13*w**3 + 54*w**2 + 57*w - 10 = 0. What is w?
-1, 2/13, 5
Factor i**3/10 + 6*i**2/5 - 13*i/10.
i*(i - 1)*(i + 13)/10
Factor -a**2/2 - 70*a.
-a*(a + 140)/2
Suppose 5*o**5 - 15*o**4 - 20*o**3 = 0. Calculate o.
-1, 0, 4
Determine z, given that 15*z**4 - 6*z**3 - 45*z**2 + 48*z - 12 = 0.
-2, 2/5, 1
Factor i**3 - 36*i**2 + 357*i - 1078.
(i - 22)*(i - 7)**2
Determine n, given that -520*n**2/3 - 146*n/3 - 4/3 = 0.
-1/4, -2/65
Solve -2*d**5/7 + 12*d**4/7 - 4*d**3/7 - 72*d**2/7 + 54*d/7 + 108/7 = 0 for d.
-2, -1, 3
Factor q**2/2 + 5*q + 9/2.
(q + 1)*(q + 9)/2
Suppose 315*z**5 + 1380*z**4 - 1120*z**3 - 710*z**2 + 85*z + 50 = 0. Calculate z.
-5, -1/3, 2/7, 1
Suppose 4*z**2/3 - 52*z/3 + 48 = 0. Calculate z.
4, 9
Factor z**2/2 + 5*z/2 - 12.
(z - 3)*(z + 8)/2
What is i in 5*i**4 - 1970*i**3 + 5880*i**2 - 5870*i + 1955 = 0?
1, 391
Let -5*c**2 - 45*c + 350 = 0. What is c?
-14, 5
Factor 6*k**2/5 - 18396*k/5 + 14100534/5.
6*(k - 1533)**2/5
Factor 4*p**5 + 184*p**4 + 180*p**3.
4*p**3*(p + 1)*(p + 45)
Factor -3*c**5 - 96*c**4 - 84*c**3 + 294*c**2 + 471*c + 186.
-3*(c - 2)*(c + 1)**3*(c + 31)
Factor 3*l**2 + 4275*l.
3*l*(l + 1425)
What is n in 3*n**4 - 36*n**2 + 48*n = 0?
-4, 0, 2
Find r, given that -5*r**4 + 70*r**3 - 195*r**2 - 270*r = 0.
-1, 0, 6, 9
Factor -17*d**3/3 - 44*d**2 - 29*d + 28/3.
-(d + 1)*(d + 7)*(17*d - 4)/3
Factor h**5 + 93*h**4 + 1811*h**3 - 16405*h**2 + 27000*h - 12500.
(h - 5)*(h - 1)**2*(h + 50)**2
Find w, given that -24*w**3 + 2*w**2 + 18*w + 4 = 0.
-2/3, -1/4, 1
Factor -2*s**2/9 - 22*s/9 + 8/3.
-2*(s - 1)*(s + 12)/9
Factor w**5/10 + w**4/10 - 3*w**3/10 - w**2/2 - w/5.
w*(w - 2)*(w + 1)**3/10
Factor -3*x**2/4 - 25*x/2 - 47/4.
-(x + 1)*(3*x + 47)/4
Determine a so that -2*a**2 - 453*a - 226 = 0.
-226, -1/2
Factor -10*a**2 + 87*a + 27.
-(a - 9)*(10*a + 3)
Determine n so that -84*n**4 - 244*n**3 - 144*n**2 + 16*n = 0.
-2, -1, 0, 2/21
Factor -3*y**3/5 - 93*y**2 + 1416*y/5 - 948/5.
-3*(y - 2)*(y - 1)*(y + 158)/5
Factor 2738*s**2 + 31376*s + 89888.
2*(37*s + 212)**2
Factor v**2/3 - 1592*v/3 + 633616/3.
(v - 796)**2/3
Factor -5*c**4 + 35*c**3 + 260*c**2 + 460*c + 240.
-5*(c - 12)*(c + 1)*(c + 2)**2
Factor -q**5 - 5*q**4 - 7*q**3 + q**2 + 8*q + 4.
-(q - 1)*(q + 1)**2*(q + 2)**2
Suppose 3*s**3 - 2304*s**2 + 589824*s - 50331648 = 0. Calculate s.
256
Suppose -12*f**4 - 253*f**3 - 1461*f**2 - 1320*f - 100 = 0. Calculate f.
-10, -1, -1/12
Find j, given that -35*j**5/2 + 10*j**4 + 85*j**3/2 + 15*j**2 = 0.
-1, -3/7, 0, 2
Suppose -2*y**3 - 62*y**2 - 168*y = 0. Calculate y.
-28, -3, 0
Find g, given that 5*g**5 - 189*g**4/4 - 169*g**3/2 - 10*g**2 + 39*g/2 - 11/4 = 0.
-1, 1/5, 1/4, 11
Factor -5*x**2 - 2265*x - 2260.
-5*(x + 1)*(x + 452)
Factor -13*m**2 - m.
-m*(13*m + 1)
Factor -3675*g**2 + 280*g - 16/3.
-(105*g - 4)**2/3
Factor -2*g**2 - 32*g - 120.
-2*(g + 6)*(g + 10)
Factor -l**5/5 + l**4 - 6*l**3/5 - 2*l**2/5 + 7*l/5 - 3/5.
-(l - 3)*(l - 1)**3*(l + 1)/5
Suppose -6*v**3/7 - 60*v**2/7 + 222*v/7 - 156/7 = 0. What is v?
-13, 1, 2
Determine z so that -4*z**4 + 8*z**3 = 0.
0, 2
Suppose 4*g**5 + 12*g**4/5 - 128*g**3/5 - 32*g**2/5 + 192*g/5 - 64/5 = 0. Calculate g.
-2, 2/5, 1, 2
Factor 2*r**5/3 + 34*r**4 + 416*r**3 - 1352*r**2/3.
2*r**2*(r - 1)*(r + 26)**2/3
Determine p so that -20*p**3 - 95*p**2 + 145*p - 30 = 0.
-6, 1/4, 1
Suppose -17*y**3 + 342*y**2 - 652*y + 72 = 0. Calculate y.
2/17, 2, 18
Solve r**3 + 408*r**2 - 819*r + 410 = 0.
-410, 1
Factor 4*v**2/7 + 120*v/7 - 124/7.
4*(v - 1)*(v + 31)/7
Factor -50625*r**4/7 - 13500*r**3/7 - 1350*r**2/7 - 60*r/7 - 1/7.
-(15*r + 1)**4/7
Factor -y**2 - 4*y + 12.
-(y - 2)*(y + 6)
Factor 4*a**2 - 152*a + 544.
4*(a - 34)*(a - 4)
Factor -2*v**3 - 68*v**2 + 222*v.
-2*v*(v - 3)*(v + 37)
Suppose 5*w**3 - 155*w**2 - 5*w + 155 = 0. Calculate w.
-1, 1, 31
Find v, given that -5*v**2/3 + 15*v - 100/3 = 0.
4, 5
Determine x so that -2*x**5/3 - 8*x**4 + 532*x**2/3 + 470*x + 300 = 0.
-10, -3, -1, 5
Factor 5*s**4 + 2890*s**3 + 420485*s**2 + 832320*s + 414720.
5*(s + 1)**2*(s + 288)**2
Factor -20*u**2 + 3455*u + 865.
-5*(u - 173)*(4*u + 1)
Find n, given that 3*n**4 - 6*n**3 - 27*n**2 + 54*n = 0.
-3, 0, 2, 3
Factor -3*x**3/4 + 141*x**2/4 - 69*x/2.
-3*x*(x - 46)*(x - 1)/4
Factor -s**4/5 + 2176*s**3/5 - 1775616*s**2/5 + 643956736*s/5 - 87578116096/5.
-(s - 544)**4/5
Factor u**2/2 + 125*u + 15625/2.
(u + 125)**2/2
Factor -3*u**3 + 57*u**2/4 - 45*u/4.
-3*u*(u - 1)*(4*u - 15)/4
Factor -5*o**5 + 140*o**4 - 265*o**3 + 130*o**2.
-5*o**2*(o - 26)*(o - 1)**2
Let -2*c**5 + 4*c**4 + 68*c**3 - 328*c**2 + 510*c - 252 = 0. What is c?
-7, 1, 2, 3
Factor -2*v**3 - 64*v**2 - 414*v.
-2*v*(v + 9)*(v + 23)
Find y, given that -y**4/3 + y**3 + y**2 - 7*y/3 - 2 = 0.
-1, 2, 3
Solve 5*y**4 + 220*y**3 + 3150*y**2 + 13500*y - 16875 = 0 for y.
-15, 1
Factor 6*o**2 - 1228*o + 816.
2*(o - 204)*(3*o - 2)
Solve 3*x**3/2 - 15*x**2 + 63*x/2 = 0.
0, 3, 7
Determine l, given that 14*l**2 + 120*l + 154 = 0.
-7, -11/7
Solve -2*c**3 + 282*c**2 - 1900*c + 3216 = 0.
3, 4, 134
Factor 4*u**3 + 36*u**2 - 16*u - 144.
4*(u - 2)*(u + 2)*(u + 9)
Suppose -2*h**4/9 - 10*h**3/9 - 14*h**2/9 - 2*h/3 = 0. What is h?
-3, -1, 0
Factor -3*f**2/2 - 10755*f - 38556675/2.
-3*(f + 3585)**2/2
Let -2*n**5 - 60*n**4 - 600*n**3 - 2000*n**2 = 0. What is n?
-10, 0
Solve -o**4 - 9*o**3 + 103*o**2 + 1125*o + 1782 = 0 for o.
-9, -2, 11
Let 4*p**3 + 60*p**2 + 48*p - 112 = 0. Calculate p.
-14, -2, 1
Factor -3*u**5/5 - 213*u**4/5 - 4089*u**3/5 - 11019*u**2/5 - 10608*u/5 - 3468/5.
-3*(u + 1)**3*(u + 34)**2/5
Find g such that -5*g**3/2 - 25*g**2/2 + 5*g + 60 = 0.
-4, -3, 2
Factor -5*f**4 + 50*f**3 + 15*f**2 - 140*f - 100.
-5*(f - 10)*(f - 2)*(f + 1)**2
Determine z so that -3*z**5/5 - 27*z**4 - 342*z**3 - 870*z**2 - 819*z - 1323/5 = 0.
-21, -1
Factor -f**3/3 + 28*f**2/3 + 20*f.
-f*(f - 30)*(f + 2)/3
Solve -5*p**4 + 115*p**3 + 1160*p**2 + 2480*p = 0 for p.
-4, 0, 31
Solve -2*j**2/7 + 690*j/7 + 2088/7 = 0 for j.
-3, 348
Suppose 2*z**2 - 760*z + 72200 = 0. What is z?
190
Determine c so that 5*c**4 - 180*c**3 - 185*c**2 = 0.
-1, 0, 37
Let -4*m**3 - 16*m**2 + 48*m = 0. Calculate m.
-6, 0, 2
Factor -4*r**2 + 928*r + 932.
-4*(r - 233)*(r + 1)
Find o, given that o**5 - 23*o**4/5 - 3*o**3 + 83*o**2/5 + 94*o/5 + 24/5 = 0.
-1, -2/5, 3, 4
Let 3*q**4 - 120*q**3 + 531*q**2 - 186*q - 840 = 0. Calculate q.
-1, 2, 4, 35
Solve -2*f**4/3 + 6*f**3 + 52*f**2/3 - 24*f - 176/3 = 0.
-2, 2, 11
Find f, given that f**2 + 337*f = 0.
-337, 0
Find v, given that 3*v**5/8 - 21*v**4/8 + 15*v**3/4 + 3*v**2/4 - 33*v/8 + 15/8 = 0.
-1, 1, 5
Factor 3*c**3/7 + 1035*c**2/7 - 1038*c/7.
3*c*(c - 1)*(c + 346)/7
Solve 36*t**5 + 4110*t**4 - 16478*t**3 - 22970*t**2 - 9214*t - 1180 = 0 for t.
-118, -1/2, -1/3, 5
Let -w**2/2 + 9/2 = 0. What is w?
-3, 3
Determine m so that -m**2 - 1932*m - 933156 = 0.
-966
Factor -k**2/3 - k + 11