10, -7
Determine t so that t**4/5 - 32*t**3/5 - 28*t**2 - 144*t/5 = 0.
-2, 0, 36
Let -12*r**4/5 + 153*r**3/5 - 513*r**2/5 + 438*r/5 + 144/5 = 0. Calculate r.
-1/4, 2, 3, 8
What is w in 3*w**5 - 12*w**3 + 6*w**2 + 9*w - 6 = 0?
-2, -1, 1
Factor -33*w**3 - 30*w**2 + 63*w.
-3*w*(w - 1)*(11*w + 21)
Factor -100*b**2 - 418*b/3 - 8.
-2*(3*b + 4)*(50*b + 3)/3
Determine w so that -2*w**4 - 122*w**3 + 378*w**2 - 382*w + 128 = 0.
-64, 1
Suppose -p**2 + 122*p - 3721 = 0. Calculate p.
61
Factor -3*q**3 + 525*q**2 - 22704*q - 23232.
-3*(q - 88)**2*(q + 1)
Determine l, given that l**2 + 40*l + 39 = 0.
-39, -1
Factor -t**5 + 13*t**4 - 67*t**3 + 171*t**2 - 216*t + 108.
-(t - 3)**3*(t - 2)**2
Find p such that 4*p**3/5 + 36*p**2/5 + 16*p = 0.
-5, -4, 0
Let -f**3/3 + 34*f**2/3 - 65*f/3 + 32/3 = 0. Calculate f.
1, 32
Solve 10*l**4 - 64*l**3 + 60*l**2 + 64*l - 70 = 0.
-1, 1, 7/5, 5
What is b in -4*b**2 - 396*b + 400 = 0?
-100, 1
Suppose x**4/5 + 14*x**3/5 - 171*x**2/5 + 32*x + 220 = 0. What is x?
-22, -2, 5
Suppose 20*y**3 + 185*y**2 + 445*y + 100 = 0. What is y?
-5, -4, -1/4
Factor -c**3 + 375*c**2 - 46875*c + 1953125.
-(c - 125)**3
Factor -35*z**2 + 360*z - 100.
-5*(z - 10)*(7*z - 2)
Factor 4*s**4/5 - 72*s**3/5 - 84*s**2/5 + 152*s/5.
4*s*(s - 19)*(s - 1)*(s + 2)/5
Find w, given that -4*w**2 - 112*w - 784 = 0.
-14
Find g such that -4*g**5 - 144*g**4 + 300*g**3 - 152*g**2 = 0.
-38, 0, 1
Find m, given that m**4/4 - 13*m**3/2 + 143*m**2/4 + 85*m/2 = 0.
-1, 0, 10, 17
Determine z so that -55*z**5 - 573*z**4 - 202*z**3 + 276*z**2 - 40*z = 0.
-10, -1, 0, 2/11, 2/5
Factor 5*v**2/2 - 5*v/2 - 75.
5*(v - 6)*(v + 5)/2
Let -5*b**4 - 6920*b**3 - 3591480*b**2 - 828434720*b - 71659603280 = 0. What is b?
-346
Factor w**3 - 26*w**2 + 185*w - 400.
(w - 16)*(w - 5)**2
Determine k so that 2*k**5/7 - 26*k**4/7 + 128*k**3/7 - 296*k**2/7 + 320*k/7 - 128/7 = 0.
1, 2, 4
Factor -5*z**4 + 125*z**3 - 1000*z**2 + 2500*z.
-5*z*(z - 10)**2*(z - 5)
Find x, given that -12*x**5/11 + 46*x**4/11 + 618*x**3/11 + 104*x**2 + 744*x/11 + 160/11 = 0.
-4, -1, -2/3, -1/2, 10
Factor 7*s**4/4 + 17*s**3/2 - 12*s**2.
s**2*(s + 6)*(7*s - 8)/4
Factor f**2 - 85*f/3 + 28/3.
(f - 28)*(3*f - 1)/3
Factor -p**3/2 + 19*p**2/2 + 165*p.
-p*(p - 30)*(p + 11)/2
Factor 4*t**2/3 - 32*t/3 + 16.
4*(t - 6)*(t - 2)/3
Find t, given that -t**2 - 2613*t - 2612 = 0.
-2612, -1
Let r**3/2 - r**2 - 4*r = 0. What is r?
-2, 0, 4
Determine a, given that 2*a**3/11 - 4*a**2/11 + 2*a/11 = 0.
0, 1
What is n in 14*n**5/3 + 44*n**4/3 - 68*n**3 + 208*n**2/3 - 50*n/3 - 4 = 0?
-6, -1/7, 1
Suppose 3*t**4 - 687*t**3/2 - 882*t**2 + 1053*t/2 = 0. What is t?
-3, 0, 1/2, 117
Solve 4*x**4 + 1028*x**3 + 71292*x**2 + 653868*x - 726192 = 0.
-123, -12, 1
Determine o so that -108*o**5 - 1404*o**4 + 1548*o**3 + 476*o**2 - 400*o - 112 = 0.
-14, -1/3, 2/3, 1
Find k such that 6*k**3/5 + 1011*k**2/5 + 8568*k + 21168/5 = 0.
-84, -1/2
Factor 5*h**4 + 22*h**3 + 25*h**2 - 4*h - 12.
(h + 1)*(h + 2)**2*(5*h - 3)
Find t such that 2*t**4 + 46*t**3 + 124*t**2 - 1624*t + 2352 = 0.
-14, 2, 3
Determine l, given that -44*l**4/13 + 174*l**3/13 - 212*l**2/13 + 6*l + 4/13 = 0.
-1/22, 1, 2
What is q in 3*q**3 - 51*q**2/4 + 12*q - 9/4 = 0?
1/4, 1, 3
Factor 2*m**3 - 2*m**2 - 480*m.
2*m*(m - 16)*(m + 15)
Factor -h**3/3 - 22*h**2/3 + 47*h/3 - 8.
-(h - 1)**2*(h + 24)/3
What is j in -9*j**2/2 - 15*j + 48 = 0?
-16/3, 2
Factor p**5 + 4*p**4 - 12*p**3 - 32*p**2 + 64*p.
p*(p - 2)**2*(p + 4)**2
Find l such that 5*l**4 + 375*l**3 + 10005*l**2 + 108445*l + 365010 = 0.
-23, -6
Factor 3*n**2/4 - 15*n - 783/4.
3*(n - 29)*(n + 9)/4
Solve -4*l**4 + 292*l**3 + 928*l**2 - 1216*l = 0 for l.
-4, 0, 1, 76
Let t**2/7 - 106*t/7 - 107/7 = 0. What is t?
-1, 107
Solve 3*u**4/4 - 135*u**3/2 - 273*u**2/4 = 0 for u.
-1, 0, 91
What is w in -w**2/3 + 42*w - 1323 = 0?
63
Factor i**2/4 - 5*i + 25.
(i - 10)**2/4
Let -d**4/2 + 369*d**3/2 + 1487*d**2/2 + 1863*d/2 + 373 = 0. Calculate d.
-2, -1, 373
Factor -4*i**2 + 416*i + 420.
-4*(i - 105)*(i + 1)
Determine t so that -5*t**5 - 20*t**4 + 185*t**3 - 340*t**2 + 180*t = 0.
-9, 0, 1, 2
Factor 2*t**2/7 + 12*t/7 - 2.
2*(t - 1)*(t + 7)/7
Find z, given that -15*z**5 - 290*z**4 - 1055*z**3 - 1220*z**2 - 300*z = 0.
-15, -2, -1/3, 0
Factor 10*u**4/7 + 416*u**3/7 + 816*u**2 + 3584*u - 1568.
2*(u + 14)**3*(5*u - 2)/7
Suppose 33*k**3 - 19*k**2 - 10*k = 0. What is k?
-1/3, 0, 10/11
Solve 25*h**3 + 7985*h**2 + 3190*h = 0 for h.
-319, -2/5, 0
Determine o so that -4*o**4 + 368*o**3 + 4*o**2 - 368*o = 0.
-1, 0, 1, 92
Let 2*x**3/7 + 772*x**2/7 = 0. What is x?
-386, 0
Determine k, given that -2*k**2/15 + 56*k/3 + 94/5 = 0.
-1, 141
Factor -t**2/5 - 1726*t/5 + 1727/5.
-(t - 1)*(t + 1727)/5
Solve 2*b**3/5 - 908*b**2 + 515290*b = 0 for b.
0, 1135
Determine i so that 5*i**2 - 2550*i - 2555 = 0.
-1, 511
Factor k**2/9 + k/3.
k*(k + 3)/9
What is i in -37*i**5 + 1293*i**4/5 - 3316*i**3/5 + 3664*i**2/5 - 288*i - 16/5 = 0?
-2/185, 1, 2
Solve 54*s**5 + 110*s**4 - 374*s**3 - 1094*s**2 - 688*s - 24 = 0 for s.
-2, -1, -1/27, 3
Let 2*q**2/3 + 576*q + 3448/3 = 0. Calculate q.
-862, -2
Solve 2*q**5/9 + 2*q**4 + 14*q**3/9 - 2*q**2 - 16*q/9 = 0 for q.
-8, -1, 0, 1
Factor -4*r**2/3 - 536*r/3 + 3648.
-4*(r - 18)*(r + 152)/3
Suppose s**2 - 741*s = 0. Calculate s.
0, 741
Factor -2*g**2/3 - 9532*g/3 - 11357378/3.
-2*(g + 2383)**2/3
Solve -5*k**4 + 90*k**3 + 315*k**2 = 0 for k.
-3, 0, 21
Suppose -v**2/2 + 77*v/2 - 245 = 0. Calculate v.
7, 70
Factor 2*k**2 + 130*k - 132.
2*(k - 1)*(k + 66)
Factor r**2/5 - 52*r/5.
r*(r - 52)/5
Find w such that 4*w**5 + 2*w**4 - 12*w**3 + 2*w**2 + 4*w = 0.
-2, -1/2, 0, 1
Factor -f**2 - 18*f + 19.
-(f - 1)*(f + 19)
Factor 2*s**3/5 - 6*s**2 - 2*s/5 + 6.
2*(s - 15)*(s - 1)*(s + 1)/5
Let 676*p**4 + 1092*p**3 + 181*p**2 - 210*p + 25 = 0. Calculate p.
-1, 5/26
Suppose 2*a**3/23 - 2*a**2 + 40*a/23 + 88/23 = 0. Calculate a.
-1, 2, 22
Factor -3*d**4/5 + 39*d**3/5 - 141*d**2/5 + 21*d.
-3*d*(d - 7)*(d - 5)*(d - 1)/5
Solve 2*n**2/11 - 5996*n/11 + 4494002/11 = 0.
1499
Determine r, given that r**5/2 - r**4/2 - 45*r**3/2 + 37*r**2/2 + 190*r + 150 = 0.
-6, -2, -1, 5
Suppose 2*q**3/11 - 38*q**2/11 - 90*q/11 + 126/11 = 0. What is q?
-3, 1, 21
Suppose -n**4/5 - 9*n**3/5 + 3*n**2/5 + 5*n - 18/5 = 0. What is n?
-9, -2, 1
Factor d**3/3 - 4*d**2 - 5*d + 26/3.
(d - 13)*(d - 1)*(d + 2)/3
Factor 3*o**2 - 7224*o - 7227.
3*(o - 2409)*(o + 1)
Factor -h**5/3 - 11*h**4/6 - 2*h**3 + 3*h**2/2.
-h**2*(h + 3)**2*(2*h - 1)/6
Factor 2*a**3 - 36*a**2 + 90*a.
2*a*(a - 15)*(a - 3)
Factor z**2/5 + 23*z/5 - 24/5.
(z - 1)*(z + 24)/5
What is x in -5*x**3 + 45*x**2 + 330*x + 280 = 0?
-4, -1, 14
Factor -3*j**2/2 - 33*j/2 - 42.
-3*(j + 4)*(j + 7)/2
Factor -x**2/5 - 33*x/5 - 18.
-(x + 3)*(x + 30)/5
Let t**3/6 - 317*t**2 - 1903*t/6 = 0. Calculate t.
-1, 0, 1903
Suppose x**2/3 - 86*x/3 - 29 = 0. Calculate x.
-1, 87
Factor -k**2 + 83*k - 240.
-(k - 80)*(k - 3)
Factor 60*o**4 - 65*o**3 - 50*o**2 + 55*o.
5*o*(o - 1)**2*(12*o + 11)
Factor -16*w**4 + 20*w**3 - 4*w**2.
-4*w**2*(w - 1)*(4*w - 1)
Let 4*l**4/3 + 436*l**3/3 + 5328*l**2 + 67392*l + 62208 = 0. Calculate l.
-36, -1
Solve 2*f**5/13 - 66*f**4/13 - 450*f**3/13 - 710*f**2/13 + 288*f/13 + 72 = 0.
-3, -2, 1, 39
Factor -3*d**2 + 603*d + 606.
-3*(d - 202)*(d + 1)
Factor -2*f**2/13 + 94*f/13 - 92/13.
-2*(f - 46)*(f - 1)/13
Factor -n**4 - 3*n**3 - 3*n**2 - n.
-n*(n + 1)**3
Factor 5*m**2 - 1650*m + 136125.
5*(m - 165)**2
Determine r so that -10125*r**3 - 39600*r**2 + 3580*r - 80 = 0.
-4, 2/45
Factor -2*p**4 - 304*p**3 - 17328*p**2 - 438976*p - 4170272.
-2*(p + 38)**4
Factor 5*s**2 + 125*s + 120.
5*(s + 1)*(s + 24)
Factor 2*u**4/5 - 18*u**3/5 + 8*u**2 - 24*u/5.
2*u*(u - 6)*(u - 2)*(u - 1)/5
Factor -2*q**4 - 14*q**3 - 2*q**2 + 54*q - 36.
-2*(q - 1)**2*(q + 3)*(q + 6)
Factor 4*d**3 - 196*d**2 + 560*d - 368.
4*(d - 46)*(d - 2)*(d - 1)
Find u, given that u**4/6 - 123*u**3 + 136897*u**2/6 - 45264*u + 67712/3 = 0.
1, 368
Factor -h**3/9 - 118*h**2/9 - 3596*h/9 - 6728/9.
-(h + 2)*(h + 58)**2/9
Factor 3*t**2/5 - 24*t + 240.
3*(t - 20)**2/5
Determine w, given that 4*w**2 - 24*w - 160 = 0.
-4, 10
Suppose 2*c**4/9 - 4*c**3 - 46*c**2/3 + 236*c/9 + 112/3 = 0. Calculate c.
-4, -1, 2, 21
Find w, given that -105*w**5 + 9*w**4 + 111*w**3 - 9*w**2 - 6*w = 0.
-1, -1/5, 0, 2/7, 1
Determine n, given that 10*n*