ve 3*j**4 + 524*j**3 - 703*j**2 + 176*j = 0.
-176, 0, 1/3, 1
Solve -a**5 + 34*a**4 - 414*a**3 + 2108*a**2 - 3905*a + 2178 = 0.
1, 2, 9, 11
Factor -t**4/4 + 20*t**3 + 417*t**2/4 + 169*t + 85.
-(t - 85)*(t + 1)*(t + 2)**2/4
Factor n**2/2 + 79*n + 6241/2.
(n + 79)**2/2
Factor 3*z**2/8 + 975*z/8 - 987/2.
3*(z - 4)*(z + 329)/8
Factor -n**2 + 98*n - 1725.
-(n - 75)*(n - 23)
Factor -3*w**5 + 81*w**4 - 504*w**3 - 588*w**2.
-3*w**2*(w - 14)**2*(w + 1)
Let 147*k**3 - 6006*k**2 + 61347*k = 0. Calculate k.
0, 143/7
What is v in 2*v**2 + 462*v + 1368 = 0?
-228, -3
Factor 2*t**3/3 + 10*t**2/3 - 136*t/3 - 192.
2*(t - 8)*(t + 4)*(t + 9)/3
Factor -2*r**3 - 1446*r**2 - 348486*r - 27995042.
-2*(r + 241)**3
Determine b so that -8*b**2/3 + 142*b - 106/3 = 0.
1/4, 53
Determine d so that -2*d**4/7 - 20*d**3/7 - 58*d**2/7 - 64*d/7 - 24/7 = 0.
-6, -2, -1
Let 3*r**4 - 549*r**3 - 1110*r**2 = 0. What is r?
-2, 0, 185
Find h such that 2*h**5/3 - 14*h**4/3 - 82*h**3/3 - 74*h**2/3 + 80*h/3 + 88/3 = 0.
-2, -1, 1, 11
Determine b so that 2*b**2/11 - 326*b/11 = 0.
0, 163
Find n, given that 28*n**3 + 188*n**2 - 56*n = 0.
-7, 0, 2/7
Factor 5*v**4 - 10*v**3 - 5*v**2 + 10*v.
5*v*(v - 2)*(v - 1)*(v + 1)
Find i such that -3*i**4 - 123*i**3 + 1269*i**2 - 3969*i + 4050 = 0.
-50, 3
Factor h**3/3 + 5*h**2/3.
h**2*(h + 5)/3
Suppose 4*f**3/5 + 21768*f**2/5 + 43524*f/5 + 4352 = 0. What is f?
-5440, -1
Suppose -2*w**4 - 64*w**3 + 70*w**2 + 132*w = 0. Calculate w.
-33, -1, 0, 2
Factor 4*m**2/7 - 8182*m/7 - 4092/7.
2*(m - 2046)*(2*m + 1)/7
Solve -3*q**4 + 6*q**3 + 219*q**2 + 210*q = 0.
-7, -1, 0, 10
Solve -4*c**5/3 - c**4/3 + 4*c**3 - 5*c**2/3 - 2*c/3 = 0 for c.
-2, -1/4, 0, 1
Factor -2*q**3 + 8*q**2 - 10*q + 4.
-2*(q - 2)*(q - 1)**2
Determine u, given that u**3 + 8*u**2 - 79*u + 70 = 0.
-14, 1, 5
Factor -c**5/6 + 7*c**4/6 - 11*c**3/6 + 5*c**2/6.
-c**2*(c - 5)*(c - 1)**2/6
Factor 4*y**4 - 96*y**3 - 312*y**2 - 320*y - 108.
4*(y - 27)*(y + 1)**3
Factor 7*d**4 - 47*d**3 - 14*d**2.
d**2*(d - 7)*(7*d + 2)
Factor -2*z**5/13 - 12*z**4/13 - 2*z**3 - 24*z**2/13 - 8*z/13.
-2*z*(z + 1)**2*(z + 2)**2/13
Factor 4*s**2/3 + 9160*s/3 + 5244100/3.
4*(s + 1145)**2/3
Find m such that -m**3/8 - m**2/2 + 3*m/2 = 0.
-6, 0, 2
Let 2*f**3/5 - 56*f**2/5 + 104*f/5 = 0. Calculate f.
0, 2, 26
Suppose -2*j**4/11 - 50*j**3/11 + 232*j**2/11 = 0. What is j?
-29, 0, 4
Let -2*n**4 - 6*n**3 + 6*n**2 + 14*n - 12 = 0. What is n?
-3, -2, 1
Factor -k**2 + 629*k.
-k*(k - 629)
Factor q**2 - 2*q - 3.
(q - 3)*(q + 1)
Factor h**5/3 - 799*h**4/3 + 159200*h**3/3 + 160000*h**2/3.
h**2*(h - 400)**2*(h + 1)/3
Factor -2*j**3 + 10*j**2 + 34*j - 42.
-2*(j - 7)*(j - 1)*(j + 3)
Let -q**4 - 164*q**3 - 6558*q**2 + 13612*q - 6889 = 0. Calculate q.
-83, 1
Let i**2/5 + 143*i/5 - 1368/5 = 0. What is i?
-152, 9
Factor -5*a**3 - 570*a**2 - 21660*a - 274360.
-5*(a + 38)**3
Determine h so that -h**5/3 - 5*h**4/3 + h**3/3 + 17*h**2/3 - 4*h = 0.
-4, -3, 0, 1
Solve -2*s**3 + 20*s**2 + 86*s - 104 = 0 for s.
-4, 1, 13
Find t such that -10*t**2 + 5045*t + 2525 = 0.
-1/2, 505
Factor -s**5 + 6*s**4 + 9*s**3 - 14*s**2.
-s**2*(s - 7)*(s - 1)*(s + 2)
Factor 4*b**2 + 68*b + 280.
4*(b + 7)*(b + 10)
Factor 5*q**3 + 2430*q**2 + 292800*q - 595360.
5*(q - 2)*(q + 244)**2
Factor 2*j**2/5 - 68*j/5 + 66/5.
2*(j - 33)*(j - 1)/5
Determine k, given that 5*k**5/2 + 275*k**4 + 9990*k**3 + 116365*k**2 - 253265*k/2 = 0.
-37, 0, 1
Let -15*y**4 + 35*y**3 + 570*y**2 + 840*y + 320 = 0. What is y?
-4, -1, -2/3, 8
Find h such that -45*h**3/2 - 40945*h**2 - 18623150*h + 4140500 = 0.
-910, 2/9
Factor -4*o**5 - 20*o**4 - 24*o**3 + 16*o**2 + 32*o.
-4*o*(o - 1)*(o + 2)**3
Factor 2*j**2/5 - 42*j/5 + 8.
2*(j - 20)*(j - 1)/5
Factor m**2 - 4366*m + 4765489.
(m - 2183)**2
Suppose 5*f**3 - 50*f**2 - 480*f = 0. What is f?
-6, 0, 16
Let 3*g**2 - 63*g = 0. What is g?
0, 21
What is u in -u**3 - 4*u**2 + 55*u - 50 = 0?
-10, 1, 5
Find o, given that 2*o**5 - 2*o**4 - 26*o**3 + 50*o**2 - 24*o = 0.
-4, 0, 1, 3
Let -5*h**2 + 18190*h - 16543805 = 0. What is h?
1819
Factor -4*b**5 - 184*b**4 - 2452*b**3 - 7728*b**2 - 7056*b.
-4*b*(b + 2)**2*(b + 21)**2
Suppose -3*a**5/2 + 48*a**3 - 153*a**2 + 339*a/2 - 63 = 0. What is a?
-7, 1, 2, 3
Determine u so that -5*u**3 + 620*u**2 + 20*u - 2480 = 0.
-2, 2, 124
Solve -3*l**5 + 15*l**4 + 15*l**3 - 75*l**2 - 12*l + 60 = 0.
-2, -1, 1, 2, 5
Let 14*l**3/15 - 58*l**2/5 + 472*l/15 - 24 = 0. What is l?
10/7, 2, 9
Find c such that -3*c**3/2 + 387*c**2/2 - 5940*c - 19602 = 0.
-3, 66
Factor 4*z**2/7 + 7680*z/7 + 3686400/7.
4*(z + 960)**2/7
Solve -2*h**4 + 16*h**3 - 30*h**2 - 16*h + 32 = 0.
-1, 1, 4
Factor 2*z**3/7 + 32*z**2/7 + 50*z/7 - 12.
2*(z - 1)*(z + 3)*(z + 14)/7
Factor -4*v**5 - 1172*v**4 - 85260*v**3 + 86436*v**2.
-4*v**2*(v - 1)*(v + 147)**2
Factor g**2 + 10*g - 119.
(g - 7)*(g + 17)
What is u in 5*u**3 + 5*u**2 + 5*u/4 = 0?
-1/2, 0
Solve 3*g**2/2 + 1641*g/4 + 819/4 = 0 for g.
-273, -1/2
Factor 2*n**3/9 + 22*n**2/9 - 80*n/9 + 56/9.
2*(n - 2)*(n - 1)*(n + 14)/9
Let a**2/3 - 24*a + 432 = 0. What is a?
36
Factor -2*f**2/3 - 354*f + 1064/3.
-2*(f - 1)*(f + 532)/3
Let 2*n**4/9 + 10*n**3/3 - 1000*n/9 = 0. What is n?
-10, 0, 5
Suppose -g**5 + 14*g**4 - 76*g**3 + 198*g**2 - 243*g + 108 = 0. Calculate g.
1, 3, 4
Factor -5*q**3 + 455*q**2 - 420*q - 2700.
-5*(q - 90)*(q - 3)*(q + 2)
Let 5*m**3 - 5*m**2 - 20*m + 20 = 0. Calculate m.
-2, 1, 2
Factor 2*g**2 - 80*g + 782.
2*(g - 23)*(g - 17)
Let c**3/3 - 5*c**2/3 - 13*c/3 - 7/3 = 0. Calculate c.
-1, 7
Factor f**5 + 12*f**4 + 26*f**3 - 160*f**2 - 675*f - 500.
(f - 4)*(f + 1)*(f + 5)**3
What is a in 7*a**5/6 + 253*a**4/3 + 41*a**3/2 - 752*a**2/3 + 290*a/3 + 48 = 0?
-72, -2, -2/7, 1
Let -3*a**5 - 47*a**4/3 - 64*a**3/3 + 8*a**2 + 80*a/3 + 16/3 = 0. What is a?
-2, -2/9, 1
What is b in 2*b**2/7 + 10*b/7 + 8/7 = 0?
-4, -1
Factor -z**4/3 - 8*z**3/3 - 2*z**2 + 8*z/3 + 7/3.
-(z - 1)*(z + 1)**2*(z + 7)/3
Suppose 2*m**4 + 40*m**3 + 162*m**2 + 180*m = 0. Calculate m.
-15, -3, -2, 0
Factor -2*i**5 - 10*i**4 - 18*i**3 - 14*i**2 - 4*i.
-2*i*(i + 1)**3*(i + 2)
Determine k so that 42*k**4 - 3*k**3 - 12*k**2 = 0.
-1/2, 0, 4/7
Solve -3*u**3 - 66*u**2 + 69*u = 0.
-23, 0, 1
Determine n, given that 3*n**4 + 60*n**3 + 33*n**2 - 492*n - 684 = 0.
-19, -2, 3
Determine f, given that -5*f**2 + 60*f - 135 = 0.
3, 9
Find x, given that x**3/6 - 82*x**2/3 - x/6 + 82/3 = 0.
-1, 1, 164
Factor -5*b**2 - 60*b + 65.
-5*(b - 1)*(b + 13)
Determine y, given that -2*y**3 + 40*y**2 - 234*y + 324 = 0.
2, 9
Solve -2*c**2/9 + 928*c/9 + 310/3 = 0.
-1, 465
Determine m, given that -7*m**3/3 - 3964*m**2/3 - 561755*m/3 - 160178/3 = 0.
-283, -2/7
Factor 2*z**3/5 - 14*z**2/5 + 28*z/5 - 16/5.
2*(z - 4)*(z - 2)*(z - 1)/5
Factor -2*t**3 - 44*t**2 - 174*t + 540.
-2*(t - 2)*(t + 9)*(t + 15)
Factor y**3 + 18*y**2 + 32*y.
y*(y + 2)*(y + 16)
Factor -2*t**4/5 - 12*t**3 + 128*t**2/5.
-2*t**2*(t - 2)*(t + 32)/5
Let 5*u**5 + 15*u**4 - 25*u**3 - 15*u**2 + 20*u = 0. Calculate u.
-4, -1, 0, 1
Let -3*v**2/7 + 129*v/7 = 0. What is v?
0, 43
Find n such that -n**2/5 - 19*n/5 - 48/5 = 0.
-16, -3
Determine v so that -3*v**5 - 12*v**4 + 33*v**3 + 90*v**2 = 0.
-5, -2, 0, 3
Factor 2*w**3/5 + 284*w**2/5.
2*w**2*(w + 142)/5
Determine q, given that 3*q**5/5 - 27*q**3/5 + 12*q**2/5 + 36*q/5 = 0.
-3, -1, 0, 2
Factor -10*h**2 - 85*h.
-5*h*(2*h + 17)
Factor -2*d**3 - 14*d**2 + 2*d + 14.
-2*(d - 1)*(d + 1)*(d + 7)
Find l such that -5*l**2/4 - 75*l/2 - 1125/4 = 0.
-15
What is j in j**4 + 7*j**3 - 8*j**2 = 0?
-8, 0, 1
Determine y so that -y**5/6 - y**4 - 11*y**3/6 - y**2 = 0.
-3, -2, -1, 0
Suppose -f**5 - 4*f**4 + 47*f**3 + 102*f**2 - 144*f = 0. Calculate f.
-8, -3, 0, 1, 6
Factor -2*y**2/5 + 12*y.
-2*y*(y - 30)/5
Factor -2*y**4/5 - 26*y**3/5 - 102*y**2/5 - 126*y/5.
-2*y*(y + 3)**2*(y + 7)/5
Let -a**4/2 - 9*a**3/2 + 73*a**2/2 + 585*a/2 - 324 = 0. Calculate a.
-9, 1, 8
Factor r**4/4 + 9*r**3/2 + 24*r**2 + 71*r/2 + 63/4.
(r + 1)**2*(r + 7)*(r + 9)/4
Factor -3*u**3 - 57*u**2 + 264*u - 276.
-3*(u - 2)**2*(u + 23)
Suppose -2*b**5/3 - 8*b**4/3 + 14*b**3/3 + 20*b**2/3 = 0. Calculate b.
-5, -1, 0, 2
Find c such that 3*c**5 - 3*c**4 - 3*c**3 + 3*c**2 = 0.
-1, 0, 1
Determine o, given that 3*o**4 - 30*o**3 + 69*o**2 - 42*o = 0.
0, 1, 2, 7
Factor -5*a**4 - 80*a**3 - 435*a**2 - 900*a - 540.
-5*(a + 1)*(a + 3)*(a + 6)**2
What is g in