se -5*r**2 - 5*r + 60 = 0. Calculate r.
-4, 3
Solve 5*n**2 + 11360*n + 6452480 = 0.
-1136
Factor -6*n**2 + 112*n/3 - 8.
-2*(n - 6)*(9*n - 2)/3
Factor c**4 - 1828*c**3 + 829894*c**2 + 5028828*c + 7568001.
(c - 917)**2*(c + 3)**2
Let 7*d**4 - 53*d**3/2 - 91*d**2 - 14*d + 12 = 0. Calculate d.
-2, -1/2, 2/7, 6
Find n, given that -4*n**2/3 + 20*n = 0.
0, 15
What is v in 20*v**4 - 232*v**3 + 304*v**2 + 160*v = 0?
-2/5, 0, 2, 10
Find x, given that 4*x**5 - 71*x**4 - 39*x**3 + 374*x**2 + 92*x - 360 = 0.
-2, -5/4, 1, 2, 18
Determine u, given that 5*u**4 - 120*u**3 + 935*u**2 - 2580*u + 1760 = 0.
1, 4, 8, 11
Suppose -4*g**2 + 32376*g - 65512836 = 0. Calculate g.
4047
Solve s**5/3 + 22*s**4/3 + 97*s**3/3 - 88*s**2 + 48*s = 0 for s.
-12, 0, 1
Solve -3*m**2 - 201*m + 204 = 0.
-68, 1
Determine v so that -2*v**3/11 + 10*v**2/11 - 12*v/11 = 0.
0, 2, 3
Factor w**5/5 - 12*w**4 + 261*w**3 - 2430*w**2 + 8748*w - 52488/5.
(w - 18)**3*(w - 3)**2/5
What is i in 2*i**3 - 34*i**2 + 182*i - 294 = 0?
3, 7
Find f such that 36*f**5 - 8*f**4 - 792*f**3 - 688*f**2 + 1812*f - 360 = 0.
-3, 2/9, 1, 5
Let -16*a**4 + 116*a**3 - 44*a**2 - 1064*a + 1632 = 0. Calculate a.
-3, 2, 4, 17/4
Factor 32*l**3 + 84*l**2 - 36*l.
4*l*(l + 3)*(8*l - 3)
Factor 3*g**3 - 87*g**2 + 84*g.
3*g*(g - 28)*(g - 1)
Solve 3*y**3/8 + 112*y**2 + 149*y/2 = 0.
-298, -2/3, 0
Determine l so that l**2 + 39*l + 38 = 0.
-38, -1
Determine x, given that -x**2 + 4912*x - 6031936 = 0.
2456
Suppose 4*p**2/7 - 36*p/7 + 80/7 = 0. What is p?
4, 5
Factor 2*l**3/17 - 42*l**2/17 + 142*l/17 - 6.
2*(l - 17)*(l - 3)*(l - 1)/17
What is a in a**3 - 5*a**2 = 0?
0, 5
Determine k so that k**2 + 210*k + 11025 = 0.
-105
Determine x so that x**3/7 + 40*x**2/7 + 37*x/7 - 78/7 = 0.
-39, -2, 1
Find r such that 5*r**3 + 1375*r**2 + 97875*r + 455625 = 0.
-135, -5
Find o, given that o**2 - 176*o + 7744 = 0.
88
Factor 5*r**4 + 89*r**3 + 462*r**2 + 544*r - 128.
(r + 2)*(r + 8)**2*(5*r - 1)
Let -2*j**3 - 10*j**2 + 562*j + 570 = 0. What is j?
-19, -1, 15
Factor t**3/4 - 2*t**2 - 155*t/4 - 225/2.
(t - 18)*(t + 5)**2/4
Suppose x**3/4 + 6*x**2 + 165*x/4 + 121/2 = 0. Calculate x.
-11, -2
Solve -27*j**5 + 222*j**4 - 507*j**3 + 372*j**2 - 60*j = 0.
0, 2/9, 1, 2, 5
Factor -2*w**2/3 - 26*w/3 + 20.
-2*(w - 2)*(w + 15)/3
Suppose 3*z**4 - 48*z**3 + 213*z**2 - 348*z + 180 = 0. Calculate z.
1, 2, 3, 10
What is q in 3*q**2 + 198*q = 0?
-66, 0
Factor 2*k**3/3 + 134*k**2/9 + 284*k/9 + 80/9.
2*(k + 2)*(k + 20)*(3*k + 1)/9
Factor -2*u**2/7 - 18*u/7 - 4.
-2*(u + 2)*(u + 7)/7
Find r, given that 2*r**3/13 - 202*r**2/13 + 784*r/13 - 776/13 = 0.
2, 97
Solve -q**2/5 - 24*q/5 - 23/5 = 0 for q.
-23, -1
Find h, given that -5*h**5/2 + 518*h**4 - 53247*h**3/2 - 21736*h**2 + 5408*h = 0.
-1, 0, 1/5, 104
Factor -2*u**2 + 132*u + 1520.
-2*(u - 76)*(u + 10)
Find c such that 48*c**5 - 44*c**4 - 104*c**3 - 4*c**2 + 8*c = 0.
-1, -1/3, 0, 1/4, 2
Factor 4*m**2 + 118*m + 3481/4.
(4*m + 59)**2/4
Factor -5*b**3 - 9215*b**2 - 18415*b - 9205.
-5*(b + 1)**2*(b + 1841)
Factor -4*k**2 + 7996*k + 16008.
-4*(k - 2001)*(k + 2)
Determine y, given that 4*y**3 - 56*y**2 - 1104*y - 3744 = 0.
-6, 26
Find r such that -14*r**3/3 + 20*r**2 - 58*r/3 + 4 = 0.
2/7, 1, 3
Factor -2*c**4/9 - 34*c**3/3 - 32*c**2.
-2*c**2*(c + 3)*(c + 48)/9
Solve -2*q**5 - 16*q**4 + 4*q**3 + 32*q**2 - 2*q - 16 = 0.
-8, -1, 1
Determine p so that -81*p**4/2 + 180*p**3 - 236*p**2 + 80*p - 8 = 0.
2/9, 2
Determine o so that 5*o**5 + 240*o**4 + 3295*o**3 + 9440*o**2 - 3300*o - 9680 = 0.
-22, -4, -1, 1
Let -x**2/3 - 24*x - 432 = 0. Calculate x.
-36
Let -n**2/9 - 1526*n/9 - 582169/9 = 0. What is n?
-763
Factor u**5/8 + 3*u**4/2 + 43*u**3/8 + 15*u**2/2 + 7*u/2.
u*(u + 1)*(u + 2)**2*(u + 7)/8
Let -2*v**4 + 68*v**3 - 800*v**2 + 3648*v - 4608 = 0. Calculate v.
2, 8, 12
Solve -3*m**5/2 + 3*m**4 + 3*m**3 - 6*m**2 - 3*m/2 + 3 = 0 for m.
-1, 1, 2
Find d, given that d**5/8 + 99*d**4/8 + 2395*d**3/8 - 3003*d**2/8 - 1600*d - 1875/2 = 0.
-50, -1, 3
Let 3*q**4 - 423*q**3 - 438*q**2 + 1692*q + 1704 = 0. Calculate q.
-2, -1, 2, 142
Solve -27*u**5 + 114*u**4 + 111*u**3 - 30*u**2 = 0 for u.
-1, 0, 2/9, 5
Factor n**3/3 - 2*n**2/3 - 8*n/3.
n*(n - 4)*(n + 2)/3
Let -4*d**4 - 144*d**3 - 1292*d**2 + 144*d + 1296 = 0. Calculate d.
-18, -1, 1
Factor u**5/8 - u**4 + 13*u**3/8 + 15*u**2/4 - 9*u.
u*(u - 4)*(u - 3)**2*(u + 2)/8
Factor -10*f**5/9 - 8*f**4/9 + 2*f**3/9.
-2*f**3*(f + 1)*(5*f - 1)/9
Factor -2*k**4 + 34*k**3 + 36*k**2.
-2*k**2*(k - 18)*(k + 1)
Factor 4*i**2 - 48*i + 128.
4*(i - 8)*(i - 4)
Factor -605*q**3 - 4323*q**2 - 3096*q/5 - 112/5.
-(q + 7)*(55*q + 4)**2/5
Find g such that -4*g**5 - 132*g**4 - 828*g**3 - 700*g**2 = 0.
-25, -7, -1, 0
Let 2*j**5 + 40*j**4 + 108*j**3 + 104*j**2 + 34*j = 0. What is j?
-17, -1, 0
Factor u**2/4 + 51*u/4 - 55.
(u - 4)*(u + 55)/4
What is b in 5*b**4 + 20*b**3 + 15*b**2 - 20*b - 20 = 0?
-2, -1, 1
Find j such that 7*j**3 - 2357*j**2 + 1678*j + 672 = 0.
-2/7, 1, 336
Suppose 2*l**3/7 - 264*l**2/7 + 522*l/7 - 260/7 = 0. What is l?
1, 130
Factor -2*n**4/5 + 56*n**3/5.
-2*n**3*(n - 28)/5
Factor 3*m**3/7 + 39*m**2/7 + 108*m/7.
3*m*(m + 4)*(m + 9)/7
Factor 2*w**3/13 + 2182*w**2/13 - 4370*w/13 + 2186/13.
2*(w - 1)**2*(w + 1093)/13
Determine u so that 2*u**5/13 + 88*u**4/13 - 284*u**3/13 - 88*u**2/13 + 282*u/13 = 0.
-47, -1, 0, 1, 3
Solve 13*a**2/5 + 29*a + 22/5 = 0.
-11, -2/13
Solve a**2/9 + 8*a/9 = 0 for a.
-8, 0
Factor -2*a**4/19 + 2112*a**3/19 - 555450*a**2/19 - 1119364*a/19.
-2*a*(a - 529)**2*(a + 2)/19
Factor 10*p**2 + 45*p - 25.
5*(p + 5)*(2*p - 1)
Let 3*c**2/2 - 63*c/2 - 33 = 0. Calculate c.
-1, 22
Suppose 2*g**3/5 + 64*g**2/5 + 178*g/5 + 116/5 = 0. Calculate g.
-29, -2, -1
Factor -32*x**3 - 1540*x**2 - 1696*x - 188.
-4*(x + 1)*(x + 47)*(8*x + 1)
Let -3*q**3 - 273*q**2 - 537*q - 267 = 0. Calculate q.
-89, -1
Solve r**2 - r - 56 = 0.
-7, 8
Factor -4*l**4 - 196*l**3 + 408*l**2.
-4*l**2*(l - 2)*(l + 51)
Determine o, given that 8*o**4/11 + 128*o**3/11 + 234*o**2/11 + 142*o/11 + 28/11 = 0.
-14, -1, -1/2
Suppose -5*t**4 + 50*t**3 - 160*t**2 + 190*t - 75 = 0. What is t?
1, 3, 5
Factor -2*c**2 + 584*c - 1160.
-2*(c - 290)*(c - 2)
Determine b, given that -3*b**4/4 + 3*b**3/2 - 3*b/2 + 3/4 = 0.
-1, 1
Solve 98*u**5 + 182*u**4 + 249*u**3/2 + 37*u**2 + 4*u = 0 for u.
-4/7, -1/2, -2/7, 0
Factor -c**3/8 - 11*c**2/4 + 421*c/8 + 221/4.
-(c - 13)*(c + 1)*(c + 34)/8
Factor -172*d**3/3 + 60*d**2 - 8*d/3.
-4*d*(d - 1)*(43*d - 2)/3
Determine g, given that 2*g**3/7 + 46*g**2/7 + 44*g/7 = 0.
-22, -1, 0
Factor 3*z**2 - 369*z + 726.
3*(z - 121)*(z - 2)
Suppose 4*h**3/7 - 8*h**2/7 - 116*h/7 + 120/7 = 0. What is h?
-5, 1, 6
Factor -4*h**5 + 52*h**4 - 264*h**3 + 648*h**2 - 756*h + 324.
-4*(h - 3)**4*(h - 1)
Solve -8427*m**3 - 17490*m**2 - 1284*m - 24 = 0 for m.
-2, -2/53
Solve v**3/2 - 3*v**2/2 - 18*v - 16 = 0 for v.
-4, -1, 8
Factor 4*l**4 - 1156*l**3 + 111744*l**2 - 3649536*l + 3538944.
4*(l - 96)**3*(l - 1)
Let 2*f**4 - 110*f**3 + 316*f**2 - 208*f = 0. What is f?
0, 1, 2, 52
Factor 4*h**2/5 - 176*h/5 - 432.
4*(h - 54)*(h + 10)/5
Factor 6*t**3/11 + 3612*t**2/11 + 543606*t/11.
6*t*(t + 301)**2/11
What is z in 3*z**2 - 144*z + 141 = 0?
1, 47
Factor -5*n**4 - 55*n**3 - 120*n**2 + 180*n.
-5*n*(n - 1)*(n + 6)**2
Determine q so that 2*q**2 + 46*q = 0.
-23, 0
Factor 4*t**4 - 44*t**3 - 56*t**2 + 96*t.
4*t*(t - 12)*(t - 1)*(t + 2)
Determine l so that 50*l**4 + 104*l**3 - 42*l**2 - 104*l - 8 = 0.
-2, -1, -2/25, 1
Solve -120*g**3 + 452*g**2 + 120*g - 32 = 0.
-2/5, 1/6, 4
Determine i so that 35*i**4 - 45*i**3 - 340*i**2 - 180*i + 80 = 0.
-2, -1, 2/7, 4
Factor -3*t**4 + 33*t**3 - 99*t**2 + 27*t + 162.
-3*(t - 6)*(t - 3)**2*(t + 1)
Find f, given that -2*f**2/13 - 4824*f/13 - 2908872/13 = 0.
-1206
Factor -3*y**4 - 96*y**3 - 765*y**2 - 1404*y + 2268.
-3*(y - 1)*(y + 6)**2*(y + 21)
Find c such that 2*c**2/5 + 11356*c/5 - 11358/5 = 0.
-5679, 1
Factor -5*w**2/2 + 1005*w - 202005/2.
-5*(w - 201)**2/2
Solve -2*l**2/3 - 308*l/3 + 208 = 0.
-156, 2
Factor h**2/8 - 11*h/8 - 13/4.
(h - 13)*(h + 2)/8
Solve -65*n**3 - 1030*n**2 - 815*n + 150 = 0 for n.
-15, -1, 2/13
Factor -2*n**2/3 + 86*n + 260/3.
-2*(n - 130)*(n + 1)/3
Let -4*u**3 + 44*u**2 + 272*u - 2688 = 0. What is u?
-8, 7, 12
Factor -32*o**4/5 + 1872*o**3 - 686786*o**2/5 + 68328*o - 42632/5.
-2*(o - 146)**2*(4*o - 1