i**2 + 68*i + 16 = 0.
-4, -1
Factor s**3/6 - 845*s**2 + 2142075*s/2.
s*(s - 2535)**2/6
Factor 7*h**2/4 - 1213*h/4 + 173/2.
(h - 173)*(7*h - 2)/4
Find y, given that -y**3 - 26*y**2 + 1408*y + 38912 = 0.
-32, 38
Suppose 507*m**4/4 + 3237*m**3/4 + 987*m**2 - 852*m + 144 = 0. What is m?
-4, -3, 4/13
Find x such that -5*x**5 - 5*x**4 + 25*x**3 + 25*x**2 - 20*x - 20 = 0.
-2, -1, 1, 2
Determine z, given that z**2/8 - 33*z/4 + 65/8 = 0.
1, 65
Find g, given that 2*g**2 + 1444*g - 1446 = 0.
-723, 1
What is v in -6*v**3 + 17842*v**2/3 - 3964*v/3 = 0?
0, 2/9, 991
What is o in -4*o**5 - 64*o**4 - 372*o**3 - 1016*o**2 - 1328*o - 672 = 0?
-7, -3, -2
What is u in -30*u**3 + 34*u**2 - 4*u = 0?
0, 2/15, 1
Factor -3*g**2/7 - 9*g/7 + 12.
-3*(g - 4)*(g + 7)/7
Suppose -4*u**4/7 - 184*u**3/7 = 0. What is u?
-46, 0
Let 2*i**3 + 15*i**2 - 125 = 0. Calculate i.
-5, 5/2
Determine c so that -3*c**4 + 171*c**3 - 3090*c**2 + 16704*c + 19968 = 0.
-1, 16, 26
Factor 5*h**3 - 40*h**2 - 20*h + 160.
5*(h - 8)*(h - 2)*(h + 2)
Solve -2*p**4/5 - 201*p**3/10 - 1051*p**2/5 + 11151*p/10 + 1458/5 = 0.
-27, -1/4, 4
Factor -3*c**2/8 + 15*c/4 - 75/8.
-3*(c - 5)**2/8
Factor 3*m**5/5 - 12*m**4/5 - 9*m**3/5 + 102*m**2/5 - 156*m/5 + 72/5.
3*(m - 2)**3*(m - 1)*(m + 3)/5
Find c, given that -5*c**3 + 58*c**2 - 117*c = 0.
0, 13/5, 9
Find l such that -l**2 + 32*l - 112 = 0.
4, 28
Factor -5*g**5/3 - 55*g**4/3 - 75*g**3 - 135*g**2 - 90*g.
-5*g*(g + 2)*(g + 3)**3/3
Solve -112*v**4/5 - 148*v**3/5 - 4*v**2 + 16*v/5 = 0.
-1, -4/7, 0, 1/4
Suppose 125*q**3 + 950*q**2 + 1280*q + 480 = 0. What is q?
-6, -4/5
What is o in 3*o**4/4 - 45*o**3/4 + 21*o**2 + 153*o + 120 = 0?
-2, -1, 8, 10
Factor 2*i**4 - 40*i**3 + 198*i**2 - 176*i - 416.
2*(i - 13)*(i - 4)**2*(i + 1)
Factor -4*b**3 + 20*b**2 - 12*b - 36.
-4*(b - 3)**2*(b + 1)
Factor 5*x**3 - 45*x**2 - 240*x - 260.
5*(x - 13)*(x + 2)**2
Factor 2*m**2/17 - 28*m/17 + 98/17.
2*(m - 7)**2/17
Factor -6*y**2/11 + 210*y/11 - 1296/11.
-6*(y - 27)*(y - 8)/11
Let 4*q**2/3 - 56*q/3 - 128/3 = 0. What is q?
-2, 16
Determine y so that 3*y**4/8 - 21*y**3 + 1089*y**2/4 + 609*y + 2523/8 = 0.
-1, 29
Factor -r**4/6 + r**2/2 - r/3.
-r*(r - 1)**2*(r + 2)/6
Determine x, given that -5*x**4 + 40*x**3 - 115*x**2 + 140*x - 60 = 0.
1, 2, 3
Factor 3*p**5 - 9*p**4 + 3*p**3 + 9*p**2 - 6*p.
3*p*(p - 2)*(p - 1)**2*(p + 1)
Let 20*n**3 - 4136*n**2 + 7372*n + 1640 = 0. Calculate n.
-1/5, 2, 205
Find x, given that x**5 - x**4 - 9*x**3 + 13*x**2 + 8*x - 12 = 0.
-3, -1, 1, 2
Find f such that 2*f**5/5 - 18*f**4/5 + 42*f**3/5 - 38*f**2/5 + 12*f/5 = 0.
0, 1, 6
Factor 196*m**3 + 700*m**2 + 352*m + 48.
4*(m + 3)*(7*m + 2)**2
Factor 2*a**3 - 4*a**2 + 2*a.
2*a*(a - 1)**2
Suppose r**2/4 + 17*r/4 + 4 = 0. What is r?
-16, -1
Factor -3*y**3/4 + 3423*y**2/4 - 974697*y/4 - 978123/4.
-3*(y - 571)**2*(y + 1)/4
Factor u**2/5 + 567*u/5 - 1138/5.
(u - 2)*(u + 569)/5
Solve u**3/3 - 7*u/3 + 2 = 0 for u.
-3, 1, 2
Determine o so that 4*o**3 - 36*o**2 = 0.
0, 9
Determine w, given that -w**2 + 182*w + 555 = 0.
-3, 185
Find g such that 5*g**2 - 1705*g = 0.
0, 341
Find t, given that 4*t**4/5 - 16*t**3/5 - 4*t**2 = 0.
-1, 0, 5
Determine d, given that 15*d**4 - 516*d**3 + 3789*d**2 - 6684*d + 2100 = 0.
2/5, 2, 7, 25
Determine x so that 3*x**5/8 + 15*x**4/4 - 267*x**3/8 + 177*x**2/4 + 33*x - 48 = 0.
-16, -1, 1, 2, 4
Find s, given that 2*s**3/7 - 6*s**2/7 - 12*s/7 + 16/7 = 0.
-2, 1, 4
Suppose 4*g**4 + 120*g**3 + 940*g**2 + 2040*g + 1216 = 0. What is g?
-19, -8, -2, -1
What is v in v**2/8 - 243*v/8 - 247/2 = 0?
-4, 247
Determine g so that 7*g**5/11 - 16*g**4/11 - 17*g**3/11 + 34*g**2/11 + 20*g/11 - 8/11 = 0.
-1, 2/7, 2
Suppose 4*g**3 - 422*g**2 - 1076*g - 432 = 0. What is g?
-2, -1/2, 108
Suppose 3*d**4/2 + 3*d**3/2 - 15*d**2 - 6*d + 36 = 0. What is d?
-3, -2, 2
Find t such that 3*t**5 + 15*t**4 - 183*t**3 + 165*t**2 = 0.
-11, 0, 1, 5
Factor -2*c**3/9 - 116*c**2/3 - 230*c/3 - 344/9.
-2*(c + 1)**2*(c + 172)/9
Let 4*y**2/3 + 14*y + 20/3 = 0. Calculate y.
-10, -1/2
Let 5*r**3 + 2520*r**2 = 0. What is r?
-504, 0
Determine g, given that -318*g**2 - 219*g/2 - 15/2 = 0.
-1/4, -5/53
Factor -f**3/2 - 13*f**2/2 - 23*f/2 - 11/2.
-(f + 1)**2*(f + 11)/2
Factor -2*o**3/7 - 60*o**2/7 - 72*o - 112.
-2*(o + 2)*(o + 14)**2/7
Factor 3*c**2 + 27*c + 54.
3*(c + 3)*(c + 6)
Factor 2*l**2/7 - 886*l/7 + 884/7.
2*(l - 442)*(l - 1)/7
Factor -2*p**4/11 + 2*p**3/11 + 24*p**2/11.
-2*p**2*(p - 4)*(p + 3)/11
Factor 4*o**3 - 668*o**2 - 680*o + 1344.
4*(o - 168)*(o - 1)*(o + 2)
Solve -u**4 + 2*u**3 + 25*u**2 - 2*u - 24 = 0.
-4, -1, 1, 6
Factor -4*b**5 + 84*b**4 - 584*b**3 + 1288*b**2 + 588*b - 1372.
-4*(b - 7)**3*(b - 1)*(b + 1)
What is y in 2*y**3/7 - 14*y**2 - 1482*y/7 + 88218/7 = 0?
-29, 39
Factor -y**4/4 + 75*y**3/2 - 5625*y**2/4.
-y**2*(y - 75)**2/4
Factor -2*s**2/11 + 2488*s/11 - 773768/11.
-2*(s - 622)**2/11
Find n, given that -3*n**2 + 6*n + 144 = 0.
-6, 8
Find w such that 8*w**2 + 14*w - 4 = 0.
-2, 1/4
Factor -5*s**3 - 90*s**2 - 405*s.
-5*s*(s + 9)**2
Factor f**3/3 - f/3.
f*(f - 1)*(f + 1)/3
What is i in -5*i**5 - 120*i**4 - 705*i**3 - 1070*i**2 - 480*i = 0?
-16, -6, -1, 0
Let 450*j**3 - 660*j**2 - 448*j - 64 = 0. Calculate j.
-4/15, 2
Factor -4*r**3 + 116*r**2 - 640*r - 3072.
-4*(r - 16)**2*(r + 3)
Find j, given that -3*j**2 + 15*j - 18 = 0.
2, 3
Find q such that 3*q**2 - 14694*q + 17992803 = 0.
2449
Suppose 12*q**5 + 106*q**4 + 314*q**3 + 298*q**2 - 102*q - 180 = 0. What is q?
-3, -5/2, -1, 2/3
Factor 4*g**5 - 24*g**4 - 24*g**3 + 176*g**2 - 204*g + 72.
4*(g - 6)*(g - 1)**3*(g + 3)
Factor 4*o**3 - 869*o**2 - 1535*o + 438.
(o - 219)*(o + 2)*(4*o - 1)
Find l, given that 6*l**4 + 610*l**3 + 2756*l**2 + 3896*l + 1552 = 0.
-97, -2, -2/3
Factor 110*v**2/7 - 194*v/7 - 52/7.
2*(v - 2)*(55*v + 13)/7
Let 5*k**4 - 60*k**3 + 35*k**2 + 240*k - 220 = 0. What is k?
-2, 1, 2, 11
What is c in 8*c**5 + 72*c**4 + 34*c**3 - 272*c**2 - 264*c - 64 = 0?
-8, -2, -1/2, 2
Factor 3*z**4 + 105*z**3 + 972*z**2 + 3504*z + 4416.
3*(z + 4)**3*(z + 23)
Determine r so that 2*r**5/7 + 20*r**4/7 - 4*r**3/7 - 40*r**2/7 + 2*r/7 + 20/7 = 0.
-10, -1, 1
Let -l**4/6 + l**3/3 + 2*l**2/3 - l/3 - 1/2 = 0. What is l?
-1, 1, 3
Factor -2*h**2 + 148*h - 2738.
-2*(h - 37)**2
Factor 2*x**5 + 16*x**4 + 24*x**3 - 4*x**2 - 26*x - 12.
2*(x - 1)*(x + 1)**3*(x + 6)
Solve d**3/5 + 13*d**2/5 = 0 for d.
-13, 0
Determine q, given that q**3/5 - 122*q**2/5 - 100*q - 504/5 = 0.
-2, 126
Solve 2*k**3 - 25*k**2/3 + 22*k/3 - 1 = 0 for k.
1/6, 1, 3
Factor -75*c**2 - 560*c - 3136/3.
-(15*c + 56)**2/3
Solve -i**5/8 - 3*i**4/8 + 5*i**3/4 + 3*i**2 = 0.
-4, -2, 0, 3
Find q such that -5*q**2 + 60*q - 180 = 0.
6
Factor 153160002*n**2 + 70008*n + 8.
2*(8751*n + 2)**2
Determine k, given that -2*k**4/5 + 34*k**3 - 166*k**2/5 - 34*k + 168/5 = 0.
-1, 1, 84
Determine k so that 4*k**3 - 68*k**2 + 280*k = 0.
0, 7, 10
Solve -7*a**5/6 + 3*a**4/2 + 593*a**3/6 + 585*a**2/2 - 275*a/3 = 0 for a.
-5, 0, 2/7, 11
Suppose 3*k**5/5 + 8*k**4 + 37*k**3/5 - 148*k**2/5 - 196*k/5 - 48/5 = 0. Calculate k.
-12, -2, -1, -1/3, 2
Factor 4*p**3/3 - 32*p**2/3.
4*p**2*(p - 8)/3
Factor -4*h**4 + 14956*h**3 - 18630180*h**2 + 7719064676*h + 15512769784.
-4*(h - 1247)**3*(h + 2)
Let -15*r**3 - 96*r**2 + 333*r - 162 = 0. Calculate r.
-9, 3/5, 2
Factor q**2/2 + 3*q/2 - 9.
(q - 3)*(q + 6)/2
Determine q so that 450*q**5/11 - 5160*q**4/11 - 858*q**3 + 6012*q**2/11 + 984*q/11 - 624/11 = 0.
-2, -1/3, 2/5, 13
Factor 4*k**4 - 128*k**3 + 360*k**2 - 352*k + 116.
4*(k - 29)*(k - 1)**3
Solve -2*a**3 + 1512*a**2 - 282720*a - 1155200 = 0.
-4, 380
Factor 5*n**4 + 635*n**3 + 3090*n**2 + 4900*n + 2440.
5*(n + 1)*(n + 2)**2*(n + 122)
Find x, given that -4*x**2/7 - 4*x/7 + 32 = 0.
-8, 7
Solve -5*g**2 - 180*g + 585 = 0.
-39, 3
Factor -2*m**3/7 - 5942*m**2/7 + 11890*m/7 - 5946/7.
-2*(m - 1)**2*(m + 2973)/7
Factor 4*f**5/7 - 604*f**4/7 + 21880*f**3/7 + 69304*f**2/7 + 10076*f + 3388.
4*(f - 77)**2*(f + 1)**3/7
Factor 4*w**2 - 7944*w + 3944196.
4*(w - 993)**2
Determine o so that -2*o**4 + 54*o**3 - 436*o**2 + 960*o - 576 = 0.
1, 2, 12
What is k in 250*k**5 - 1250*k**4 + 2080*k**3 - 1328*k**2 + 352*k - 32 = 0?
1/5, 2/5, 2
Determine f, given that f**4/4 - 9*f**3/4 + 2*f**2 = 0.
0, 1, 8
What is r in -8*r**3/15 - 238*r**2/15 - 172*r/15 + 58/15 = 0?
-29, -1, 1/4
Factor -3*z**4 - 18*z**3 +