j**2 - 292*j + 48 = 0.
-6, 1/4, 1, 4
Find u, given that 2*u**5/7 - 4*u**4 - 42*u**3 + 392*u**2 + 2744*u = 0.
-7, 0, 14
Find n such that 4*n**4 - 56*n**3 + 260*n**2 - 448*n + 240 = 0.
1, 2, 5, 6
Find y such that 30*y**2 + 52*y + 22 = 0.
-1, -11/15
Factor 2*v**4/3 + 2370*v**3 + 2107522*v**2 + 6315458*v/3.
2*v*(v + 1)*(v + 1777)**2/3
What is p in -4*p**4/3 + 4*p**3/3 + 44*p**2/3 - 12*p - 24 = 0?
-3, -1, 2, 3
Factor c**5/2 + 15*c**4/2 + 37*c**3 + 71*c**2 + 117*c/2 + 35/2.
(c + 1)**3*(c + 5)*(c + 7)/2
Find z such that -3*z**4/4 - 3*z**3 + 21*z**2/4 + 51*z/2 + 18 = 0.
-4, -2, -1, 3
Let -q**3/7 - 2*q**2/7 + 55*q/7 + 200/7 = 0. Calculate q.
-5, 8
Determine u, given that -3*u**2 + 52524*u - 229897548 = 0.
8754
Factor -2*s**5/13 + 84*s**4/13 - 1314*s**3/13 + 9288*s**2/13 - 28512*s/13 + 31104/13.
-2*(s - 12)**3*(s - 3)**2/13
Determine f so that -2*f**4/3 + 29*f**3/6 - 21*f**2/2 + 23*f/3 - 4/3 = 0.
1/4, 1, 2, 4
Find y, given that -5*y**4 - 1650*y**3 + 1655*y**2 = 0.
-331, 0, 1
Determine d, given that 4*d**3 + 5340*d**2 + 2376300*d + 352484500 = 0.
-445
Let 16*v**5/3 - 1688*v**4/3 - 847*v**3/3 - 106*v**2/3 = 0. Calculate v.
-1/4, 0, 106
Factor 8*n**4 - 14*n**3 - 68*n**2 - 16*n.
2*n*(n - 4)*(n + 2)*(4*n + 1)
Factor -n**2/3 + 8752*n/3 - 19149376/3.
-(n - 4376)**2/3
Suppose f**4 + 8*f**3 + 13*f**2 + 6*f = 0. Calculate f.
-6, -1, 0
Factor 4*k**3/7 - 96*k**2/7 + 596*k/7 - 120.
4*(k - 15)*(k - 7)*(k - 2)/7
Factor -4*y**4 - 8*y**3 + 80*y**2 - 96*y.
-4*y*(y - 2)**2*(y + 6)
Factor -10*w**2/13 + 2466*w/13 + 76.
-2*(w - 247)*(5*w + 2)/13
Let -z**2 - 33*z - 32 = 0. What is z?
-32, -1
Factor 4*t**3 + 80*t**2 + 468*t + 648.
4*(t + 2)*(t + 9)**2
Suppose 21*i**4 - 15*i**3 - 27*i**2 + 15*i + 6 = 0. Calculate i.
-1, -2/7, 1
Factor -4*u**3 - 24*u**2 + 64*u.
-4*u*(u - 2)*(u + 8)
Factor -3*a**4/7 + 18*a**2/7 + 24*a/7 + 9/7.
-3*(a - 3)*(a + 1)**3/7
Factor 3*c**5/2 - 3*c**4 - 21*c**3/2 - 6*c**2.
3*c**2*(c - 4)*(c + 1)**2/2
Let 5*y**2 - 4990*y + 1245005 = 0. What is y?
499
Factor 3*t**2/4 + 12*t + 189/4.
3*(t + 7)*(t + 9)/4
Factor 2*w**3/3 + 14*w**2/3 + 22*w/3 + 10/3.
2*(w + 1)**2*(w + 5)/3
Suppose -3*s**3 + 15*s**2 + 12*s - 60 = 0. What is s?
-2, 2, 5
Let -z**4/2 + 19*z**3 - 33*z**2/2 - 76*z + 74 = 0. Calculate z.
-2, 1, 2, 37
Determine s so that -4*s**5 - 84*s**4 - 76*s**3 + 84*s**2 + 80*s = 0.
-20, -1, 0, 1
Determine t, given that -t**3 - 26*t**2 - 49*t - 24 = 0.
-24, -1
Factor -5*l**5 - 70*l**4 + 340*l**3 - 360*l**2.
-5*l**2*(l - 2)**2*(l + 18)
Determine l so that -2*l**3/5 + 5614*l**2/5 - 22432*l/5 + 22424/5 = 0.
2, 2803
Solve 3*l**2 - 97*l + 124 = 0.
4/3, 31
What is q in q**5/4 + 11*q**4/4 - 39*q**3/4 + 41*q**2/4 - 7*q/2 = 0?
-14, 0, 1
Solve 3*l**5 + 39*l**4 + 63*l**3 - 39*l**2 - 66*l = 0 for l.
-11, -2, -1, 0, 1
Solve -21*f**3/5 + 39*f**2/5 + 6*f/5 = 0 for f.
-1/7, 0, 2
Factor x**4 + 16*x**3 + 39*x**2.
x**2*(x + 3)*(x + 13)
Factor u**4/7 - 2*u**3 + 7*u**2.
u**2*(u - 7)**2/7
Factor 5*m**4 - 310*m**3 + 4800*m**2 + 310*m - 4805.
5*(m - 31)**2*(m - 1)*(m + 1)
Suppose -p**5/2 + p**4 - p**3/2 = 0. Calculate p.
0, 1
Let 20*q**2 - 256*q + 396 = 0. Calculate q.
9/5, 11
Suppose c**2/3 + 938*c/3 - 941 = 0. What is c?
-941, 3
Let -2*r**5/13 + 8*r**4/13 - 2*r**3/13 - 28*r**2/13 + 40*r/13 - 16/13 = 0. Calculate r.
-2, 1, 2
Find m such that -m**2 + 3208*m - 2572816 = 0.
1604
Factor 5*d**2 + 10620*d + 5639220.
5*(d + 1062)**2
Factor 2*y**2/3 - 20*y.
2*y*(y - 30)/3
Factor 5*v**5/9 - 2*v**4/9.
v**4*(5*v - 2)/9
Factor -t**2/7 + 2342*t/7 - 1371241/7.
-(t - 1171)**2/7
Solve 29645*p**3 + 1540*p**2 + 20*p = 0 for p.
-2/77, 0
Find b such that 3*b**5 + 12*b**4 + 6*b**3 - 12*b**2 - 9*b = 0.
-3, -1, 0, 1
Let 2*j**4 + 10*j**3 + 16*j**2 + 8*j = 0. Calculate j.
-2, -1, 0
Factor 4*q**3 + 180*q**2 + 1500*q - 12500.
4*(q - 5)*(q + 25)**2
Solve 7*o**2 - 187*o - 54 = 0.
-2/7, 27
Suppose 2*g**5/7 + 12*g**4/7 - 8*g**3/7 - 132*g**2/7 - 90*g/7 + 216/7 = 0. Calculate g.
-4, -3, 1, 3
Let t**3/7 + 80*t**2/7 + 1748*t/7 + 5776/7 = 0. What is t?
-38, -4
What is p in 33*p**4/2 + 159*p**3/2 - 63*p**2/2 - 159*p/2 + 15 = 0?
-5, -1, 2/11, 1
Solve f**2 + 189*f - 1170 = 0.
-195, 6
Let 5*a**4/4 + 15*a**3/4 - 5*a**2/4 - 15*a/4 = 0. Calculate a.
-3, -1, 0, 1
Solve -5*x**5 - 145*x**4 - 130*x**3 + 280*x**2 = 0.
-28, -2, 0, 1
Factor 5*w**3 + 90*w**2 + 160*w.
5*w*(w + 2)*(w + 16)
What is i in -3*i**5 - 99*i**4 - 969*i**3 - 1869*i**2 + 7056*i - 4116 = 0?
-14, -7, 1
Factor -q**4 + 12*q**3 + 182*q**2 - 2028*q - 2197.
-(q - 13)**2*(q + 1)*(q + 13)
Factor -s**4/9 + 1073*s**3/9 - 42721*s**2 + 5140443*s - 10110954.
-(s - 357)**3*(s - 2)/9
Let u**3 - 282*u**2 + 26508*u - 830584 = 0. What is u?
94
Factor 1479117*g**4 + 3407586*g**3 + 944208*g**2 + 92544*g + 3072.
3*(g + 2)*(79*g + 8)**3
Determine z, given that -4*z**4 - 56*z**3 - 144*z**2 - 136*z - 44 = 0.
-11, -1
Let 2*u**5 + 42*u**4 + 238*u**3 + 158*u**2 - 240*u - 200 = 0. What is u?
-10, -1, 1
Let -y**3/4 - 629*y**2/4 + 315*y/2 = 0. Calculate y.
-630, 0, 1
Solve 2*q**2 - 2328*q - 4664 = 0.
-2, 1166
Solve -2*g**3 + 20*g**2 = 0 for g.
0, 10
Factor 2*v**2 + 24*v + 64.
2*(v + 4)*(v + 8)
What is a in -2*a**2/3 - 308*a/3 - 11858/3 = 0?
-77
Factor 2*m**3/9 - 2*m**2 + 6*m - 6.
2*(m - 3)**3/9
Find b, given that 3*b**4 + 15*b**3 - 57*b**2 - 195*b + 450 = 0.
-5, 2, 3
Determine t so that -2*t**4/7 - 4*t**3/7 - 2*t**2/7 = 0.
-1, 0
Factor -x**4/2 - 195*x**3/2 - 384*x**2 - 382*x.
-x*(x + 2)**2*(x + 191)/2
Determine b, given that 9*b**3 + 439*b**2 - 548*b + 100 = 0.
-50, 2/9, 1
Factor -69*r**2/7 + 3441*r/7 + 450/7.
-3*(r - 50)*(23*r + 3)/7
Factor -3*k**3 + 42*k**2 + 204*k + 216.
-3*(k - 18)*(k + 2)**2
Determine w, given that 38*w**2/5 + 192*w/5 + 2 = 0.
-5, -1/19
Factor 21296*s**4 + 51304*s**3 + 18612*s**2 + 2430*s + 108.
2*(s + 2)*(22*s + 3)**3
Factor -3*h**3/4 + 3*h**2/4 + 39*h/2 + 18.
-3*(h - 6)*(h + 1)*(h + 4)/4
Determine m, given that 2*m**4/9 + 218*m**3/9 + 24*m**2 = 0.
-108, -1, 0
Find p such that 1445*p**5 + 22695*p**4 + 106515*p**3 + 137765*p**2 + 61320*p + 8820 = 0.
-7, -1, -6/17
Let -a**3/4 + a**2/4 = 0. Calculate a.
0, 1
Let -3*u**4/8 - 81*u**3/8 - 135*u**2/8 + 393*u/8 + 225/4 = 0. What is u?
-25, -3, -1, 2
Suppose 3*c**5 - 33*c**4 - 168*c**3 - 180*c**2 = 0. Calculate c.
-2, 0, 15
Solve -3*a**2/2 + 255*a/2 + 129 = 0.
-1, 86
Factor -y**3/4 - 7*y**2/4 + 9*y/2.
-y*(y - 2)*(y + 9)/4
Solve -3*y**4 + 63*y**3 + 9*y**2 - 195*y + 126 = 0.
-2, 1, 21
Factor -l**5 + 7*l**3 - 2*l**2 - 12*l + 8.
-(l - 2)*(l - 1)**2*(l + 2)**2
Suppose 4*u**5/5 + 36*u**4/5 - 248*u**3/5 + 432*u**2/5 - 224*u/5 = 0. What is u?
-14, 0, 1, 2
Suppose -2*j**4/7 + 32*j**3/7 - 22*j**2 + 28*j = 0. What is j?
0, 2, 7
Suppose 225*a**3 + 290*a**2 + 55*a - 10 = 0. Calculate a.
-1, -2/5, 1/9
Factor -3*n**5/5 - 9*n**4/5 + 12*n**3/5.
-3*n**3*(n - 1)*(n + 4)/5
Factor -2*i**4/9 - 506*i**3/9 - 56*i**2.
-2*i**2*(i + 1)*(i + 252)/9
Factor 2*r**2/17 - 36*r/17 + 2.
2*(r - 17)*(r - 1)/17
Let 2*m**4/9 - 10*m**3/9 + 16*m**2/9 - 8*m/9 = 0. What is m?
0, 1, 2
Factor 5*l**3 - 3325*l**2 - 10010*l - 6680.
5*(l - 668)*(l + 1)*(l + 2)
Factor 4*y**3 - 36*y**2 - 16*y + 144.
4*(y - 9)*(y - 2)*(y + 2)
Solve 3*a**2 + 57*a + 180 = 0 for a.
-15, -4
Factor -4*j**3 + 846*j**2 - 2096*j + 1254.
-2*(j - 209)*(j - 1)*(2*j - 3)
Find w, given that -3*w**2/2 + 3*w/2 + 900 = 0.
-24, 25
Factor h**3/4 - h**2 + h/4 + 3/2.
(h - 3)*(h - 2)*(h + 1)/4
Factor -289*w**4/2 - 6715*w**3/2 - 784*w**2 - 46*w.
-w*(w + 23)*(17*w + 2)**2/2
Factor 3*z**2 + 8610*z + 6177675.
3*(z + 1435)**2
Suppose 4*b**5 - 12*b**4 + 16*b**2 = 0. What is b?
-1, 0, 2
Suppose 2*g**5/9 - 118*g**4/9 + 1228*g**3/9 - 4868*g**2/9 + 2662*g/3 - 470 = 0. What is g?
1, 3, 5, 47
Let -2*w**2/5 + 2*w/5 + 152 = 0. What is w?
-19, 20
Factor 3*n**2 + 273*n + 792.
3*(n + 3)*(n + 88)
What is r in 4*r**4/7 - 60*r**3/7 + 156*r**2/7 - 148*r/7 + 48/7 = 0?
1, 12
Determine m so that -5*m**5 + 70*m**4 - 120*m**3 - 10*m**2 + 125*m - 60 = 0.
-1, 1, 12
Factor p**2/3 + 298*p/3 + 22201/3.
(p + 149)**2/3
Factor -30*f**2 - 4135*f - 3425.
-5*(f + 137)*(6*f + 5)
Factor 25*p**2/4 - 315*p/2 + 3969/4.
(5*p - 63)**2/4
Factor 2*q**4 + 40*q**3 + 264*q**2 + 640*q + 512.
2*(q + 2)**2*(q + 8)**2
Factor -3*p**2 - 33*p.
-3*p*(p + 11)
Factor -2*d**3/9 - 34*d**2/9 - 112*d/9 - 104/9.
-2*(d + 2)**2*(d + 13)/9
Factor -5*k**2 + 330*k - 5445.
-5*(k - 33)*