3 - 36*l**2 + 104*l - 96.
4*(l - 4)*(l - 3)*(l - 2)
Factor -2*u**5/13 - 12*u**4/13 - 28*u**3/13 - 32*u**2/13 - 18*u/13 - 4/13.
-2*(u + 1)**4*(u + 2)/13
Determine l, given that 6*l**5 - 11*l**4 - 2*l**3 + 12*l**2 - 4*l - 1 = 0.
-1, -1/6, 1
Factor -2*q**2 + 47*q/3 - 70/3.
-(q - 2)*(6*q - 35)/3
Find c, given that -36*c**5 + 388*c**4 + 3004*c**3 + 252*c**2 - 2968*c - 640 = 0.
-5, -1, -2/9, 1, 16
Let -5*j**4 - 355*j**3 - 7115*j**2 - 28545*j - 21780 = 0. What is j?
-33, -4, -1
Factor 2*o**5/3 - 14*o**4 + 92*o**3 - 596*o**2/3 + 174*o - 54.
2*(o - 9)**2*(o - 1)**3/3
Suppose -4*n**5 + 912*n**3 - 6272*n**2 + 11520*n = 0. What is n?
-18, 0, 4, 10
Factor 2*w**3/9 - 14*w**2/9 - 98*w/9 + 686/9.
2*(w - 7)**2*(w + 7)/9
Factor -2*a**2/3 + 128*a/3 - 42.
-2*(a - 63)*(a - 1)/3
Factor -4*i**2/5 + 2016*i - 1270080.
-4*(i - 1260)**2/5
Solve -8*r**4/3 + 30*r**3 + 30*r**2 - 220*r/3 + 16 = 0.
-2, 1/4, 1, 12
Factor 6*d**2 + 7254*d/7 - 2076/7.
6*(d + 173)*(7*d - 2)/7
Factor 12*r**4 + 460*r**3 + 1728*r**2 - 1360*r.
4*r*(r + 5)*(r + 34)*(3*r - 2)
Suppose 588*j**5 + 119476*j**4 + 141676*j**3 + 55788*j**2 + 7272*j = 0. What is j?
-202, -3/7, -1/3, 0
What is v in -9*v**4/11 - 7*v**3/11 + 47*v**2/11 - 37*v/11 + 6/11 = 0?
-3, 2/9, 1
Suppose 4*a**3 - 128*a**2 - 1280*a = 0. What is a?
-8, 0, 40
Let -2*r**2/7 + 78*r/7 - 88 = 0. What is r?
11, 28
Suppose 22*q**4/3 + 346*q**3/3 + 584*q**2 + 888*q - 288 = 0. Calculate q.
-6, -4, 3/11
Factor o**3/3 + 1101*o**2 + 1212201*o + 444877767.
(o + 1101)**3/3
Solve 5*i**2 + 5190*i + 1346805 = 0 for i.
-519
Suppose 60*d**3 + 288*d**2 + 777*d/4 + 9 = 0. Calculate d.
-4, -3/4, -1/20
Let -k**5/2 - 4*k**4 - 11*k**3 - 14*k**2 - 17*k/2 - 2 = 0. What is k?
-4, -1
Factor 5*u**5 + 30*u**4 + 25*u**3 - 120*u**2 - 180*u.
5*u*(u - 2)*(u + 2)*(u + 3)**2
Determine r so that 5*r**4/2 - 185*r**3 + 6845*r**2/2 = 0.
0, 37
Factor 21*r**3/4 + 41*r**2/2 + 55*r/4 - 3/2.
(r + 1)*(r + 3)*(21*r - 2)/4
Factor 5*z**4 - 45*z**3 + 30*z**2 + 280*z.
5*z*(z - 7)*(z - 4)*(z + 2)
Factor 5*x**3 - 310*x**2.
5*x**2*(x - 62)
Let -16*q**2 - 596*q = 0. Calculate q.
-149/4, 0
Find a, given that -2*a**3/7 + 6*a**2/7 + 2*a/7 - 6/7 = 0.
-1, 1, 3
Factor -3*n**3 - 14*n**2 + 5*n.
-n*(n + 5)*(3*n - 1)
Solve 4*w**5/3 - 104*w**4/3 + 96*w**3 - 280*w**2/3 + 92*w/3 = 0 for w.
0, 1, 23
Factor -3*p**2/2 - 48*p - 234.
-3*(p + 6)*(p + 26)/2
Let -c**5 - 65*c**4 - 1600*c**3 - 17920*c**2 - 81920*c - 65536 = 0. What is c?
-16, -1
Factor 2*l**4/3 + 59*l**3/9 + 23*l**2 + 33*l + 15.
(l + 3)**3*(6*l + 5)/9
Factor -t**4 + 11*t**2 + 18*t + 8.
-(t - 4)*(t + 1)**2*(t + 2)
Find i such that 3*i**2 + 312*i = 0.
-104, 0
Determine w so that 3*w**4 - 111*w**3 + 1179*w**2 - 2805*w + 1734 = 0.
1, 2, 17
Solve -5*k**4 - 935*k**3 + 940*k**2 = 0.
-188, 0, 1
Let j**4 + 7*j**3 - j**2 - 7*j = 0. What is j?
-7, -1, 0, 1
Let 4*m**2 + 60*m - 136 = 0. Calculate m.
-17, 2
Solve -6*t**3/7 - 94*t**2/7 + 36*t/7 + 64/7 = 0.
-16, -2/3, 1
Suppose -2*s**3 - 8*s**2 - 6*s = 0. What is s?
-3, -1, 0
Factor -t**2/6 + 73*t/6.
-t*(t - 73)/6
Factor g**5/5 - 2*g**4/5 - 9*g**3/5 + 22*g**2/5 + 4*g/5 - 24/5.
(g - 2)**3*(g + 1)*(g + 3)/5
Suppose -7*q**3 - 34*q**2 + 5*q = 0. Calculate q.
-5, 0, 1/7
Let 2*q**5/5 - 10*q**4 + 102*q**3/5 + 626*q**2/5 + 736*q/5 + 264/5 = 0. What is q?
-1, 6, 22
Find m such that -3*m**2 + 4272*m - 1520832 = 0.
712
Factor -z**5/5 - 23*z**4/5 - 43*z**3/5 - 21*z**2/5.
-z**2*(z + 1)**2*(z + 21)/5
Let 3*a**5/2 + 57*a**4/2 - 207*a**3 + 438*a**2 - 300*a = 0. Calculate a.
-25, 0, 2
Factor 5*m**4 + 130*m**3 + 380*m**2 - 1320*m.
5*m*(m - 2)*(m + 6)*(m + 22)
Factor -k**4 - 367*k**3 + 1110*k**2.
-k**2*(k - 3)*(k + 370)
Factor 6*z**3 + 44*z**2 + 86*z + 24.
2*(z + 3)*(z + 4)*(3*z + 1)
What is u in -3*u**4/4 + 6*u**3 + 240*u**2 + 1152*u = 0?
-8, 0, 24
Factor 5*s**2 + 4665*s - 4670.
5*(s - 1)*(s + 934)
Factor -21*h**3/4 + 285*h**2/4 - 903*h/4 - 441/4.
-3*(h - 7)**2*(7*h + 3)/4
Solve 34295*j**5 + 45125*j**4 + 11970*j**3 + 1180*j**2 + 40*j = 0 for j.
-1, -2/19, 0
Factor 2*x**4 - 620*x**3 - 2506*x**2 - 1884*x.
2*x*(x - 314)*(x + 1)*(x + 3)
Suppose -4*z**3/9 + 551*z**2/9 - 137*z/3 = 0. Calculate z.
0, 3/4, 137
Factor b**3 + 55*b**2 + 667*b - 2523.
(b - 3)*(b + 29)**2
Factor -2*o**4 + 8*o**3 + 186*o**2 + 592*o + 416.
-2*(o - 13)*(o + 1)*(o + 4)**2
Factor 3*v**2 + 9633*v + 9630.
3*(v + 1)*(v + 3210)
Factor 2*m**3/13 - 216*m**2/13 + 7776*m/13 - 93312/13.
2*(m - 36)**3/13
Suppose -f**3 + 3*f**2/2 + 9*f - 27/2 = 0. What is f?
-3, 3/2, 3
What is o in 44*o**5/3 + 404*o**4/3 + 376*o**3 + 896*o**2/3 + 128*o/3 = 0?
-4, -1, -2/11, 0
Factor -2*b**4 - 1282*b**3 - 274770*b**2 - 19871622*b - 38654388.
-2*(b + 2)*(b + 213)**3
Let 6*a**4 + 50*a**3/3 - 28*a**2 - 200*a/3 + 16 = 0. What is a?
-3, -2, 2/9, 2
Factor 5*b**2 - 1380*b + 95220.
5*(b - 138)**2
Factor 2*i**4/15 + 398*i**3/5 + 79202*i**2/5 + 15761198*i/15.
2*i*(i + 199)**3/15
Suppose -3*x**4/7 + 39*x**3/7 - 75*x**2/7 - 279*x/7 - 162/7 = 0. Calculate x.
-1, 6, 9
Factor -5*l**3 - 185*l**2 - 355*l - 175.
-5*(l + 1)**2*(l + 35)
Find k such that k**4/3 - 2*k**3 - 101*k**2 - 280*k/3 + 196 = 0.
-14, -2, 1, 21
Factor -5*c**5 - 170*c**4 + 175*c**3.
-5*c**3*(c - 1)*(c + 35)
Determine x so that -2*x**2/15 + 56*x/5 - 90 = 0.
9, 75
Let -b**5/5 + 12*b**4/5 - 46*b**3/5 + 12*b**2 - 5*b = 0. What is b?
0, 1, 5
What is o in -25*o**3 - 610*o**2 - 241*o - 24 = 0?
-24, -1/5
Solve -5*s**2 + 1610*s + 1615 = 0 for s.
-1, 323
Find v, given that -75*v**3 + 1281*v**2 - 1302*v + 96 = 0.
2/25, 1, 16
Determine r, given that 2*r**2/11 + 226*r/11 + 224/11 = 0.
-112, -1
Determine c so that -4*c**3/3 + 14*c**2/3 - 16*c/3 + 2 = 0.
1, 3/2
What is t in -t**3/8 - 17*t**2/8 + 245*t/8 - 675/8 = 0?
-27, 5
Let 75*f**3 + 160*f**2 + 20*f = 0. What is f?
-2, -2/15, 0
Suppose 49*g**5 + 371*g**4 - 192*g**3 - 196*g**2 - 32*g = 0. Calculate g.
-8, -2/7, 0, 1
Let -3*c**3 - 594*c**2 - 3456*c = 0. Calculate c.
-192, -6, 0
Factor -2*i**4/3 - 10*i**3/3.
-2*i**3*(i + 5)/3
Factor -z**4/8 + 9*z**3/2 - 109*z**2/2 + 252*z - 392.
-(z - 14)**2*(z - 4)**2/8
Find t such that -8*t**2/7 + 38*t/7 + 10/7 = 0.
-1/4, 5
Factor 3*n**5 + 243*n**4 + 1806*n**3 + 3990*n**2 + 3519*n + 1095.
3*(n + 1)**3*(n + 5)*(n + 73)
Let 2*x**2 - 860*x + 92450 = 0. What is x?
215
Find v such that 2*v**4/5 - 324*v**3/5 + 314*v**2 = 0.
0, 5, 157
Factor 2*p**5/9 - 8*p**3/9.
2*p**3*(p - 2)*(p + 2)/9
Find j such that 2*j**4 - 64*j**3 + 62*j**2 = 0.
0, 1, 31
Find a such that -2*a**3 + 16*a**2 + 2*a - 16 = 0.
-1, 1, 8
What is o in 27*o**5 + 114*o**4 - 462*o**3 + 432*o**2 - 69*o - 42 = 0?
-7, -2/9, 1
Determine n so that -2*n**4/7 - 48*n**3/7 - 206*n**2/7 - 312*n/7 - 152/7 = 0.
-19, -2, -1
Find t such that -3*t**2/4 + 45*t/4 + 57 = 0.
-4, 19
Factor 2*f**3/7 - 38*f**2/7 + 28*f - 160/7.
2*(f - 10)*(f - 8)*(f - 1)/7
Determine d, given that -6*d**4 - 15*d**3 + 33*d**2 - 12*d = 0.
-4, 0, 1/2, 1
Factor u**4/3 + 5*u**3 + 16*u**2 - 64*u/3.
u*(u - 1)*(u + 8)**2/3
Determine q, given that -3*q**3 - q**2 + 3*q + 1 = 0.
-1, -1/3, 1
Factor f**4/9 - 2*f**3/3 - 40*f**2/3 - 218*f/9 - 35/3.
(f - 15)*(f + 1)**2*(f + 7)/9
Find k, given that 10*k**2/7 + 262*k/7 + 52/7 = 0.
-26, -1/5
Factor -2*k**5/11 - 1036*k**4/11 - 134162*k**3/11.
-2*k**3*(k + 259)**2/11
Let -2*b**5/9 + 4*b**4/3 - 8*b**3/3 + 20*b**2/9 - 2*b/3 = 0. What is b?
0, 1, 3
Factor -3*o**2/2 + 45*o + 96.
-3*(o - 32)*(o + 2)/2
Let -32*v**3/7 - 48*v**2/7 + 18*v + 28 = 0. What is v?
-7/4, 2
Factor 63*d**5 - 57*d**4 - 6*d**3.
3*d**3*(d - 1)*(21*d + 2)
Let -4*d**2/3 - 200*d/3 + 5600/3 = 0. Calculate d.
-70, 20
Factor -n**3 + 1150*n**2 - 2297*n + 1148.
-(n - 1148)*(n - 1)**2
Factor f**4/8 + 5*f**3/2 + 13*f**2/2 - 60*f + 72.
(f - 2)**2*(f + 12)**2/8
What is g in 14*g**2 + 47*g/4 - 9/2 = 0?
-9/8, 2/7
Factor 867*z**3 + 4539*z**2 + 1032*z + 60.
3*(z + 5)*(17*z + 2)**2
What is l in 2*l**2 - 2*l = 0?
0, 1
Suppose 12*j**5 + 4*j**4 - 84*j**3 - 100*j**2 - 24*j = 0. What is j?
-2, -1, -1/3, 0, 3
Let 20*k**5 - 436*k**4 + 1832*k**3 + 6144*k**2 + 1152*k = 0. What is k?
-2, -1/5, 0, 12
Suppose 5*m**2 + 2340*m + 6975 = 0. Calculate m.
-465, -3
Factor -4*v**4 + 72*v**3 + 76*v**2.
-4*v**2*(v - 19)*(v + 1)
Suppose -2*i**5/9 + 2*i**4/3 + 4*i**3/3 - 20*i**2/9 - 14*i/3 - 2 = 0. What is i?
-1, 3
Factor -u**3 + 48*u**2 - 693*u + 3146.
-(u - 26)*(u - 11)**2
Suppose -8*c**4/7 - 130*c**3/7 +