(t - 2)*(t + 1)*(t + 45)
Let -80*q**5 - 200*q**4 - 125*q**3 + 25*q**2 + 25*q - 5 = 0. What is q?
-1, 1/4
Factor -k**4 - 43*k**3 - 82*k**2.
-k**2*(k + 2)*(k + 41)
Determine s, given that 2*s**2/11 + 42*s/11 - 324/11 = 0.
-27, 6
Factor 5*p**3 + 1685*p**2 + 6675*p + 4995.
5*(p + 1)*(p + 3)*(p + 333)
Let 980*f**4 - 9660*f**3 - 1395*f**2 - 50*f = 0. What is f?
-1/14, 0, 10
Factor 3*w**5 + 48*w**4 + 36*w**3 - 150*w**2 - 231*w - 90.
3*(w - 2)*(w + 1)**3*(w + 15)
Solve g**3 + 74*g**2 + 575*g - 650 = 0 for g.
-65, -10, 1
Factor b**4/2 - 10*b**3 - 91*b**2/2 - 59*b - 24.
(b - 24)*(b + 1)**2*(b + 2)/2
Suppose 4*z**3 - 1172*z**2 + 86432*z - 85264 = 0. What is z?
1, 146
Factor 4*l**2/7 + 264*l/7 + 4356/7.
4*(l + 33)**2/7
Suppose -974*t**3/7 + 418*t**2 + 3884*t/7 - 16/7 = 0. Calculate t.
-1, 2/487, 4
Find n, given that -12*n**5 - 20*n**4 - 4*n**3 + 4*n**2 = 0.
-1, 0, 1/3
Factor -v**5/4 + v**3/4.
-v**3*(v - 1)*(v + 1)/4
Factor 3*y**2 - 3246*y + 3243.
3*(y - 1081)*(y - 1)
Find r such that -r**4 + 20*r**3 - 48*r**2 - 320*r + 1024 = 0.
-4, 4, 16
Determine m so that -2*m**4 + 6*m**3 + 2*m**2 - 6*m = 0.
-1, 0, 1, 3
Factor -4*a**3 + 2420*a**2 + 2424*a.
-4*a*(a - 606)*(a + 1)
Factor -21*k**5 - 48*k**4 - 33*k**3 - 6*k**2.
-3*k**2*(k + 1)**2*(7*k + 2)
Solve 12*z**4 - 488*z**3 - 172*z**2 + 328*z = 0 for z.
-1, 0, 2/3, 41
Determine c so that -2*c**2/13 + 6*c/13 + 8/13 = 0.
-1, 4
Solve -5*u**3 - 1125*u**2 + 3410*u - 2280 = 0.
-228, 1, 2
Suppose b**3 - 8*b**2 + 16*b = 0. What is b?
0, 4
What is c in 4*c**5 + 32*c**4 - 20*c**3 - 160*c**2 + 16*c + 128 = 0?
-8, -2, -1, 1, 2
Factor -88*c**4 - 76*c**3 + 12*c**2.
-4*c**2*(c + 1)*(22*c - 3)
What is m in -3*m**5 + 174*m**4 + 1347*m**3 + 1266*m**2 - 6144*m - 6240 = 0?
-4, -1, 2, 65
Let 42*m**5 - 51*m**4 - 354*m**3 - 411*m**2 - 174*m - 24 = 0. What is m?
-1, -1/2, -2/7, 4
Let 2*r**5/13 - 20*r**4/13 + 58*r**3/13 - 64*r**2/13 + 24*r/13 = 0. What is r?
0, 1, 2, 6
Let -o**3/5 + 621*o**2/5 - 19344*o + 19220 = 0. Calculate o.
1, 310
Factor 5*n**4 + 105*n**3 + 565*n**2 + 1095*n + 630.
5*(n + 1)*(n + 3)**2*(n + 14)
Factor 2*m**2 - 10*m - 132.
2*(m - 11)*(m + 6)
Factor -5*k**4 + 45*k**3 - 140*k**2 + 180*k - 80.
-5*(k - 4)*(k - 2)**2*(k - 1)
Let 5*f**3 - 10*f**2 - 5*f + 10 = 0. Calculate f.
-1, 1, 2
Find y, given that 2*y**2/11 - 4100*y/11 + 4098/11 = 0.
1, 2049
Let -3*b**2 - 78*b - 507 = 0. What is b?
-13
Factor u**4 + 5900*u**3 + 11601366*u**2 + 7598890796*u - 7610498063.
(u - 1)*(u + 1967)**3
Factor 5*m**4 + 10*m**3 - 10*m - 5.
5*(m - 1)*(m + 1)**3
Suppose q**5/11 - 8*q**4/11 - 32*q**3/11 + 256*q**2/11 + 256*q/11 - 2048/11 = 0. What is q?
-4, 4, 8
Let 2*h**2 - 84*h + 370 = 0. Calculate h.
5, 37
Determine f so that -2*f**2 + 8*f + 42 = 0.
-3, 7
Factor -4*j**2/11 - 62*j/11 + 140/11.
-2*(j - 2)*(2*j + 35)/11
Factor -8*k**2/21 + 202*k/21 - 680/21.
-2*(k - 4)*(4*k - 85)/21
Suppose 2*g**2 + 216*g - 666 = 0. Calculate g.
-111, 3
Suppose -y**2/4 - 69*y/2 - 4761/4 = 0. What is y?
-69
Find n such that 4*n**5 + 56*n**4 + 36*n**3 - 224*n**2 - 208*n = 0.
-13, -2, -1, 0, 2
Suppose q**2/3 - 3*q = 0. Calculate q.
0, 9
Find l such that 3*l**5 - 90*l**4 + 168*l**3 = 0.
0, 2, 28
Factor 5*w**4/2 - 15*w**3 - 15*w**2/2 + 50*w - 30.
5*(w - 6)*(w - 1)**2*(w + 2)/2
Factor 3*m**3 + 21*m**2 - 54*m.
3*m*(m - 2)*(m + 9)
Factor -2*l**4/19 + 1966*l**3/19.
-2*l**3*(l - 983)/19
Find z, given that 2*z**5/3 - 6*z**4 + 10*z**3/3 + 58*z**2/3 - 28*z + 32/3 = 0.
-2, 1, 8
Find z, given that -z**3/3 - 67*z**2/3 - 595*z/3 - 475 = 0.
-57, -5
Factor -f**4/3 + 4*f**3 + 43*f**2/3 + 10*f.
-f*(f - 15)*(f + 1)*(f + 2)/3
Determine f, given that f**4 - 3*f**3/2 - 5*f**2 + 6*f + 4 = 0.
-2, -1/2, 2
Suppose -10*w**5 + 136*w**4 - 274*w**3 - 132*w**2 = 0. Calculate w.
-2/5, 0, 3, 11
Factor 81*x**2 - 36*x + 4.
(9*x - 2)**2
Factor -j**2 - 3700*j - 3422500.
-(j + 1850)**2
Find c such that c**3/5 + 13*c**2/5 - 112*c + 660 = 0.
-33, 10
Factor -6*o**4 - 105*o**3 - 192*o**2 - 93*o.
-3*o*(o + 1)**2*(2*o + 31)
Solve 2*l**4/3 - 6*l**3 + 16*l**2/3 = 0.
0, 1, 8
Factor -h**2/7 + 12*h/7 + 4.
-(h - 14)*(h + 2)/7
Factor 31*o**2 - 184*o/3 - 4/3.
(o - 2)*(93*o + 2)/3
Factor -y**3/5 + 29*y**2/5 - 247*y/5 + 507/5.
-(y - 13)**2*(y - 3)/5
Factor -3*a**4/2 + 3*a**3 + 3*a**2/2 - 3*a.
-3*a*(a - 2)*(a - 1)*(a + 1)/2
Factor p**5/3 - 41*p**4/3 + 440*p**3/3 - 400*p**2/3.
p**2*(p - 20)**2*(p - 1)/3
Let -5*m**3/4 - 25*m**2/4 + 185*m/2 + 300 = 0. What is m?
-10, -3, 8
Suppose b**4/2 - 11*b**3/2 + 13*b**2 - 8*b = 0. What is b?
0, 1, 2, 8
Factor -2*u**4 - 250*u**3 - 244*u**2 + 496*u.
-2*u*(u - 1)*(u + 2)*(u + 124)
Let -5*h**4 - 725*h**3 - 1435*h**2 - 715*h = 0. What is h?
-143, -1, 0
Factor -4*s**5 - 16*s**4 - 4*s**3 + 40*s**2 + 16*s - 32.
-4*(s - 1)**2*(s + 2)**3
Factor -n**3/8 + 207*n**2/8 - 205*n/4.
-n*(n - 205)*(n - 2)/8
Factor 20*a**4 + 8*a**3 - 80*a**2 - 32*a.
4*a*(a - 2)*(a + 2)*(5*a + 2)
Determine v, given that -33*v**4/7 - 237*v**3/7 + 519*v**2/7 - 195*v/7 - 54/7 = 0.
-9, -2/11, 1
What is r in -r**4/4 + 17*r**3/4 + 31*r**2 - 623*r + 588 = 0?
-12, 1, 14
Factor 2*b**4/11 + 10*b**3/11 + 14*b**2/11 + 6*b/11.
2*b*(b + 1)**2*(b + 3)/11
Determine x, given that 3*x**2 + 1350*x + 1347 = 0.
-449, -1
Factor -i**4/4 - 53*i**3/4 - 153*i**2/4 - 151*i/4 - 25/2.
-(i + 1)**3*(i + 50)/4
Let -5*a**3 + 20*a**2 + 5*a - 20 = 0. Calculate a.
-1, 1, 4
Solve 2*p**5/9 - 236*p**4/9 - 4108*p**3/9 - 23720*p**2/9 - 53350*p/9 - 33500/9 = 0.
-5, -1, 134
Factor 2*c**4 - 28*c**3 - 96*c**2 - 100*c - 34.
2*(c - 17)*(c + 1)**3
Suppose -4*k**3/5 - 328*k**2/5 - 1520*k - 34656/5 = 0. What is k?
-38, -6
Solve 5*t**2 + 5*t/2 - 5/2 = 0.
-1, 1/2
Solve -215*s**4 - 5*s**3 + 215*s**2 + 5*s = 0 for s.
-1, -1/43, 0, 1
Solve -3*s**3 + 249*s**2 - 726*s + 480 = 0 for s.
1, 2, 80
Factor 2*t**4/7 - 2*t**3 + 2*t**2/7 + 54*t/7 + 36/7.
2*(t - 6)*(t - 3)*(t + 1)**2/7
Determine o so that 18*o**5/5 + 144*o**4/5 - 374*o**3/5 - 108*o**2/5 + 312*o/5 - 16 = 0.
-10, -1, 1/3, 2/3, 2
Factor 20*i**3 + 255*i**2 + 175*i - 60.
5*(i + 1)*(i + 12)*(4*i - 1)
Factor -4*s**3 - 340*s**2 + 344*s.
-4*s*(s - 1)*(s + 86)
Factor 3*f**3/7 + 9*f**2/7 - 3*f/7 - 9/7.
3*(f - 1)*(f + 1)*(f + 3)/7
Determine l so that -l**4/2 - l**3 + 6*l**2 + 9*l - 27/2 = 0.
-3, 1, 3
Factor o**3/2 - 13*o**2 + 45*o/2 + 36.
(o - 24)*(o - 3)*(o + 1)/2
Factor 3*z**3 + 63*z**2 - 138*z.
3*z*(z - 2)*(z + 23)
Suppose -10*n**2 - 25*n + 15 = 0. Calculate n.
-3, 1/2
Find h, given that -3*h**3 - 1608*h**2 - 215472*h = 0.
-268, 0
Factor -r**3/5 - 29*r**2/5 - 224*r/5 - 196/5.
-(r + 1)*(r + 14)**2/5
Factor 4*n**4 + 4*n**3 - 36*n**2 - 36*n.
4*n*(n - 3)*(n + 1)*(n + 3)
Factor 3*j**4 + 3*j**3 - 171*j**2 - 339*j - 168.
3*(j - 8)*(j + 1)**2*(j + 7)
Factor 2*h**5 + 16*h**4 + 46*h**3 + 56*h**2 + 24*h.
2*h*(h + 1)*(h + 2)**2*(h + 3)
Determine d, given that -4*d**5 - 32*d**4 - 16*d**3 + 104*d**2 + 148*d + 56 = 0.
-7, -1, 2
Factor c**2 - 5404*c + 7300804.
(c - 2702)**2
Solve d**3 + 512*d**2 + 66548*d + 258064 = 0.
-254, -4
Solve d**2 - 296*d + 21904 = 0 for d.
148
What is s in -5*s**2 + 15*s + 90 = 0?
-3, 6
Find i, given that -724*i**2 + 152*i = 0.
0, 38/181
Solve t**3/3 + 106*t**2 + 11236*t + 1191016/3 = 0.
-106
Solve 20*y**4 - 4100*y**3 + 4085*y**2 - 1020*y = 0 for y.
0, 1/2, 204
What is n in 2*n**3/15 + 104*n**2/15 + 1352*n/15 = 0?
-26, 0
Factor t**5/3 - t**4/3 - 5*t**3/3 + t**2/3 + 8*t/3 + 4/3.
(t - 2)**2*(t + 1)**3/3
Find h such that -h**5 - 81*h**4 + 92*h**3 + 816*h**2 - 352*h - 1968 = 0.
-82, -2, 2, 3
Factor 18*c**3/5 - 564*c**2/5 + 2624*c/5 - 3328/5.
2*(c - 26)*(3*c - 8)**2/5
Factor -k**3/3 - 37*k**2 + k/3 + 37.
-(k - 1)*(k + 1)*(k + 111)/3
What is r in -2*r**5/15 + 64*r**4/15 - 568*r**3/15 + 836*r**2/15 + 38*r - 60 = 0?
-1, 1, 2, 15
Suppose -2*m**2/17 + 1720*m/17 + 1722/17 = 0. Calculate m.
-1, 861
Factor -b**4/4 + 3*b**3 - 51*b**2/4 + 22*b - 12.
-(b - 4)**2*(b - 3)*(b - 1)/4
Factor 5*n**4 + 25*n**3 + 45*n**2 + 35*n + 10.
5*(n + 1)**3*(n + 2)
Factor 7*b**2/2 + 207*b + 59/2.
(b + 59)*(7*b + 1)/2
Solve -a**2/3 - 26*a/3 + 9 = 0.
-27, 1
Suppose s**2/6 - 3*s + 27/2 = 0. Calculate s.
9
What is u in 2*u**2/3 + 22*u - 68/3 = 0?
-34, 1
Suppose -2*u**4/13 - 14*u**3/13 + 2*u**2/13 + 14*u/13 = 0. Calculate u.
-7, -1, 0, 1
Suppose 324*h**4 + 5328*h**3 + 17872*h**2 + 7168*h + 768 = 0. What is h?
-12, -4, -2/9
Factor n**2/4 - 243*n/2 + 485/4.
(n -