-3*q**3/2 - 360*q**2 - 42471*q/2 + 43923.
-3*(q - 2)*(q + 121)**2/2
Suppose -s**3/2 + 501*s**2/2 - 61479*s/2 - 320045/2 = 0. Calculate s.
-5, 253
Factor -2*b**3/11 - 92*b**2/11 - 728*b/11 + 8112/11.
-2*(b - 6)*(b + 26)**2/11
Factor -2*g**2/17 - 20*g/17 - 50/17.
-2*(g + 5)**2/17
Let y**4/5 - 7*y**3/5 + 12*y**2/5 = 0. Calculate y.
0, 3, 4
Find j, given that j**3/3 - j**2/3 - 4*j/3 + 4/3 = 0.
-2, 1, 2
Determine f so that f**5/4 + 79*f**4/4 - 81*f**3/4 - 79*f**2/4 + 20*f = 0.
-80, -1, 0, 1
Find x, given that 2*x**5/5 + 16*x**4/5 + 24*x**3/5 = 0.
-6, -2, 0
Suppose 2*r**3/3 - 32*r**2/3 = 0. What is r?
0, 16
Factor q**3/3 - 3*q**2 - 25*q/3 + 11.
(q - 11)*(q - 1)*(q + 3)/3
Factor -2*i**2/9 - 7724*i/9 - 7457522/9.
-2*(i + 1931)**2/9
Suppose k**5/2 - 5*k**4/2 + k**3 + 4*k**2 = 0. Calculate k.
-1, 0, 2, 4
Factor 5*a**4 - 80*a**3 - 90*a**2 + 80*a + 85.
5*(a - 17)*(a - 1)*(a + 1)**2
Find k, given that 2*k**5/7 - 50*k**4/7 + 278*k**3/7 - 66*k**2 - 144*k/7 + 648/7 = 0.
-1, 2, 3, 18
Factor -65*r**3 - 295*r**2 + 1060*r - 420.
-5*(r - 2)*(r + 7)*(13*r - 6)
Find f, given that -2*f**5/5 + 22*f**4/5 - 2*f**3 - 62*f**2 + 12*f/5 + 288/5 = 0.
-3, -1, 1, 6, 8
Factor -3*f**2 + 123*f + 3906.
-3*(f - 62)*(f + 21)
Determine u, given that 2*u**3/13 - 8*u**2/13 - 6*u/13 + 36/13 = 0.
-2, 3
Factor -3*v**2/2 + 741*v/2 - 369.
-3*(v - 246)*(v - 1)/2
Suppose 405*h**4 + 180*h**3 + 20*h**2 = 0. Calculate h.
-2/9, 0
Find f, given that f**2/7 + 300*f/7 + 22500/7 = 0.
-150
Find l, given that -21*l**2 - 36*l - 15 = 0.
-1, -5/7
Factor f**3 + 71*f**2 - 145*f + 73.
(f - 1)**2*(f + 73)
Determine z so that -12*z**3 + 13036*z**2 - 4344*z = 0.
0, 1/3, 1086
Factor 3*j**2 + 501*j - 2052.
3*(j - 4)*(j + 171)
Factor -u**2 + 66*u + 67.
-(u - 67)*(u + 1)
Factor y**5/2 - 3*y**4 - y**3/2 + 3*y**2.
y**2*(y - 6)*(y - 1)*(y + 1)/2
Find a such that 4*a**4 + 100*a**3 + 664*a**2 + 384*a - 1152 = 0.
-12, -2, 1
Solve -1350*k**5 - 11835*k**4 + 16491*k**3 - 1734*k**2 - 1452*k - 120 = 0.
-10, -2/15, 1/2, 1
Suppose 6*t**4 - 176*t**3/3 - 1678*t**2/3 - 1804*t/3 - 320/3 = 0. Calculate t.
-5, -1, -2/9, 16
Factor 2*y**2/7 - 142*y/7 - 600/7.
2*(y - 75)*(y + 4)/7
Solve 4*k**4 - 27*k**3 + 37*k**2 - 9*k - 5 = 0 for k.
-1/4, 1, 5
Solve -p**4 - 13*p**3/3 - 6*p**2 - 8*p/3 = 0 for p.
-2, -4/3, -1, 0
Factor -y**2 - 25*y.
-y*(y + 25)
Find j, given that j**5/2 + 145*j**4/4 + 211*j**3/4 - 71*j**2/2 = 0.
-71, -2, 0, 1/2
Factor -5*l**5 + 50*l**4.
-5*l**4*(l - 10)
Factor -d**2/6 - 439*d/3 - 877/6.
-(d + 1)*(d + 877)/6
Factor -2*x**4/3 - 8*x**3/3 + 8*x**2/3 + 32*x/3.
-2*x*(x - 2)*(x + 2)*(x + 4)/3
Solve -r**5/5 + 2*r**4/5 + 6*r**3/5 - 8*r**2/5 - r + 6/5 = 0 for r.
-2, -1, 1, 3
Let 14*q**4/9 + 158*q**3/9 + 478*q**2/9 + 418*q/9 + 28/3 = 0. What is q?
-7, -3, -1, -2/7
Suppose 3*i**4/4 + 6*i**3 - 3*i**2/4 - 6*i = 0. What is i?
-8, -1, 0, 1
Factor -8*k**3/5 + 11248*k**2/5 + 11254*k/5 + 2814/5.
-2*(k - 1407)*(2*k + 1)**2/5
Solve 2*t**3/13 - 38*t**2/13 + 230*t/13 - 450/13 = 0 for t.
5, 9
Factor -14*d**2/5 - 86*d/5 + 20.
-2*(d - 1)*(7*d + 50)/5
What is l in -l**2 - 108*l - 2916 = 0?
-54
Factor -3*q**4 - 420*q**3 + 1287*q**2.
-3*q**2*(q - 3)*(q + 143)
Suppose 4*i**3/5 - 2388*i**2/5 - 4*i/5 + 2388/5 = 0. Calculate i.
-1, 1, 597
Solve 3*y**3/4 - 48*y**2 - 204*y = 0.
-4, 0, 68
Factor 2*f**5 + 18*f**4 - 8*f**3 - 72*f**2.
2*f**2*(f - 2)*(f + 2)*(f + 9)
Determine j, given that 2*j**2/3 - 2572*j/3 + 2570/3 = 0.
1, 1285
Factor -5*x**3 + 2160*x**2 - 233280*x.
-5*x*(x - 216)**2
What is b in -b**5/4 - 263*b**4/4 + 1331*b**3/4 - 2405*b**2/4 + 937*b/2 - 134 = 0?
-268, 1, 2
Factor a**4/3 + 19*a**3/9 + 31*a**2/9 - a/3 - 2.
(a + 1)*(a + 3)**2*(3*a - 2)/9
Find w such that -w**5 + 55*w**4 - 106*w**3 = 0.
0, 2, 53
Find w such that 4*w**3/3 + 79*w**2/3 + 364*w/3 - 32 = 0.
-12, -8, 1/4
Determine b so that 3*b**2/2 - 24*b + 45/2 = 0.
1, 15
Factor -7*f**2/5 - 383*f/5 + 22.
-(f + 55)*(7*f - 2)/5
Find h, given that 4*h**3 - 644*h**2 - 4*h + 644 = 0.
-1, 1, 161
Let j**5/7 + 8*j**4/7 + 13*j**3/7 - 26*j**2/7 - 64*j/7 - 32/7 = 0. What is j?
-4, -1, 2
Factor -3*k**4/5 + 2958*k**3/5 - 194832*k**2 + 107799168*k/5 - 211725312/5.
-3*(k - 328)**3*(k - 2)/5
Let -2*l**5/11 - 2*l**4/11 + 12*l**3/11 = 0. What is l?
-3, 0, 2
Solve t**5 - 32*t**4 + 253*t**3 + 94*t**2 - 704*t - 512 = 0 for t.
-1, 2, 16
Factor 3*i**4/2 - 33*i**3/2 + 117*i**2/2 - 135*i/2.
3*i*(i - 5)*(i - 3)**2/2
Factor -5*g**3/2 + 11*g**2/2 - 7*g/2 + 1/2.
-(g - 1)**2*(5*g - 1)/2
Suppose 2*h**5 + 130*h**4 - 138*h**3 - 386*h**2 + 656*h - 264 = 0. What is h?
-66, -2, 1
Suppose 2*m**4/3 - 2*m**3/3 - 6*m**2 + 6*m = 0. What is m?
-3, 0, 1, 3
Suppose l**4/2 + l**3/2 - 7*l**2/2 - l/2 + 3 = 0. What is l?
-3, -1, 1, 2
Solve -w**3 - 204*w**2 + 625*w + 828 = 0.
-207, -1, 4
Factor l**2/6 + 2*l/3 + 1/2.
(l + 1)*(l + 3)/6
Factor 729*o**4 + 14823*o**3 + 18900*o**2 + 8272*o + 1216.
(o + 19)*(9*o + 4)**3
Solve -4*b**3 + 212*b**2 + 440*b = 0 for b.
-2, 0, 55
Factor 4*o**3 + 52*o**2 + 48*o.
4*o*(o + 1)*(o + 12)
Factor -p**5 + p**4 + 10*p**3 + 8*p**2.
-p**2*(p - 4)*(p + 1)*(p + 2)
Factor -4*w**3 - 5532*w**2 - 11052*w - 5524.
-4*(w + 1)**2*(w + 1381)
Let v**3/4 + 87*v**2/4 + 462*v - 484 = 0. What is v?
-44, 1
Suppose -2*t**2/3 + 38*t = 0. What is t?
0, 57
Suppose 10*x**2 + 6474*x + 2588 = 0. What is x?
-647, -2/5
Suppose -2*s**2 - 62*s + 204 = 0. Calculate s.
-34, 3
Let -3*b**4 + 75*b**3 - 429*b**2 + 357*b = 0. Calculate b.
0, 1, 7, 17
Factor 27*p**4 - 630*p**3 + 4071*p**2 - 4620*p + 1452.
3*(p - 11)**2*(3*p - 2)**2
Factor w**3/7 - 12*w/7 + 16/7.
(w - 2)**2*(w + 4)/7
Factor -3*f**4 + 315*f**3 - 306*f**2 - 624*f.
-3*f*(f - 104)*(f - 2)*(f + 1)
Factor 2*n**4 - 988*n**3 + 164304*n**2 - 9458564*n + 43307470.
2*(n - 163)**3*(n - 5)
Determine l so that 25*l**3/4 - 38*l**2 + 3*l = 0.
0, 2/25, 6
Suppose -27*b**2 - 213*b/2 + 6 = 0. Calculate b.
-4, 1/18
Find d, given that -4*d**4 - 72*d**3 - 244*d**2 - 288*d - 112 = 0.
-14, -2, -1
Factor -3*w**3 + 75*w**2 + 78*w.
-3*w*(w - 26)*(w + 1)
Determine v so that -3*v**3 + 387*v**2 - 1500*v = 0.
0, 4, 125
Suppose q**2/7 - 178*q/7 + 7921/7 = 0. What is q?
89
Suppose 75*x**4/7 - 60*x**3/7 - 9*x**2 + 60*x/7 - 12/7 = 0. What is x?
-1, 2/5, 1
Solve -u**3 - 14*u**2 + 35*u + 48 = 0 for u.
-16, -1, 3
What is s in -2*s**3 - 30*s**2 + 336*s - 736 = 0?
-23, 4
Factor -4*f**4 + 106*f**3/5 - 132*f**2/5.
-2*f**2*(f - 2)*(10*f - 33)/5
Factor c**2/3 + 341*c/3 - 114.
(c - 1)*(c + 342)/3
Factor -18*l**5/7 + 60*l**4/7 - 8*l**3 + 16*l**2/7.
-2*l**2*(l - 2)*(3*l - 2)**2/7
Suppose 2*k**4/11 - 64*k**3/11 + 232*k**2/11 - 224*k/11 = 0. What is k?
0, 2, 28
Let -t**3/2 - 31*t**2/2 - 59*t/2 - 29/2 = 0. Calculate t.
-29, -1
Find s, given that 2*s**3/3 - 36*s**2 - 2*s/3 + 36 = 0.
-1, 1, 54
Let -5*m**2 - 25*m + 120 = 0. Calculate m.
-8, 3
Factor -2*r**4 - 8*r**3 - 4*r**2 + 8*r + 6.
-2*(r - 1)*(r + 1)**2*(r + 3)
Factor -4*w**5 - 1804*w**4 + 5436*w**3 - 5444*w**2 + 1816*w.
-4*w*(w - 1)**3*(w + 454)
Factor 2*u**2/15 - 686*u/15.
2*u*(u - 343)/15
Let 4*c**5/3 - 52*c**4/3 + 64*c**3 - 48*c**2 = 0. What is c?
0, 1, 6
Factor -h**2/12 + 127*h/3 - 16129/3.
-(h - 254)**2/12
Let -76*v**2/7 + 16*v/7 = 0. What is v?
0, 4/19
Determine l so that -l**4 + 25*l**3 + l**2 - 25*l = 0.
-1, 0, 1, 25
Factor 2*f**2/3 - 10*f - 32/3.
2*(f - 16)*(f + 1)/3
Suppose -3*c**5 - 63*c**4 + 132*c**3 + 7812*c**2 + 25872*c = 0. What is c?
-14, -4, 0, 11
Factor -j**2/4.
-j**2/4
Factor 3*v**5 + 12*v**4 + 6*v**3 - 12*v**2 - 9*v.
3*v*(v - 1)*(v + 1)**2*(v + 3)
Factor 7*y**4 + 17*y**3 + 6*y**2.
y**2*(y + 2)*(7*y + 3)
Factor 2*t**2 - 884*t + 97682.
2*(t - 221)**2
Determine d so that -1000*d**2 + 750*d - 135 = 0.
3/10, 9/20
Find l, given that -l**5/3 - 88*l**4/3 - 2185*l**3/3 - 11078*l**2/3 - 20828*l/3 - 13448/3 = 0.
-41, -2
Find n, given that -2*n**2 + 44*n + 96 = 0.
-2, 24
Suppose -o**3 - 22*o**2 - 75*o - 54 = 0. Calculate o.
-18, -3, -1
Find p, given that p**4/6 + 32*p**3/3 + 101*p**2/2 + 238*p/3 + 118/3 = 0.
-59, -2, -1
Find f, given that -f**5/8 + 9*f**4 - 323*f**3/2 - 36*f**2 + 648*f = 0.
-2, 0, 2, 36
Factor 3*a**3/2 + 39*a**2/2 + 165*a/2 + 225/2.
3*(a + 3)*(a + 5)**2/2
Factor -w**2 - 536*w - 535.
-(w + 1)*(w + 535)
Solve -4*h**2 + 132*h - 864 = 0.
9, 24
Suppose 2*w**2/3 - 22*w + 532/3 = 0. What is w?
14, 19
Factor 5*x**2 - 580*x.
5*x*(x - 116)
Factor 3*x**2 - 1353*x + 66