**2 + 2882*d - 1924 = 0. What is d?
-481, 1, 2
Determine n so that -n**2 - 1160*n + 1161 = 0.
-1161, 1
Solve -5*s**3 + 7555*s**2 - 2850120*s - 2857680 = 0.
-1, 756
What is q in 159*q**4/5 + 153*q**3/5 - 324*q**2/5 + 12*q/5 = 0?
-2, 0, 2/53, 1
Factor r**5 - 426*r**4 - 427*r**3.
r**3*(r - 427)*(r + 1)
Find m such that 25*m**5/2 + 45*m**4 + 43*m**3 + 2*m**2 - 15*m/2 + 1 = 0.
-2, -1, 1/5
Suppose 8*f**2 - 270*f - 68 = 0. What is f?
-1/4, 34
Factor -3*f**3/8 - 21*f**2/8 + 51*f/8 - 27/8.
-3*(f - 1)**2*(f + 9)/8
Factor -l**2/2 + 8*l - 39/2.
-(l - 13)*(l - 3)/2
What is s in 2*s**2/17 + 4*s/17 = 0?
-2, 0
Find v, given that -2*v**2/7 + v/7 = 0.
0, 1/2
Let 2*x**4/9 - 40*x**3/9 + 26*x**2 - 36*x = 0. Calculate x.
0, 2, 9
Factor -3*v**3/5 - 267*v**2/5 + 111*v + 819/5.
-3*(v - 3)*(v + 1)*(v + 91)/5
Factor 5*r**2 - 75*r + 220.
5*(r - 11)*(r - 4)
Factor 6*p**3 - 3*p**2 - 6*p + 3.
3*(p - 1)*(p + 1)*(2*p - 1)
Find d, given that -3*d**2 + 576*d = 0.
0, 192
What is b in 5*b**3/2 - 5*b**2/2 - 25*b/2 - 15/2 = 0?
-1, 3
Factor 3*w**2/5 - 93*w/5 + 684/5.
3*(w - 19)*(w - 12)/5
Factor -3*c**4 + 78*c**3 - 612*c**2 + 1122*c + 1815.
-3*(c - 11)**2*(c - 5)*(c + 1)
Suppose -5*h**4 + 175*h**3 + 5*h**2 - 175*h = 0. Calculate h.
-1, 0, 1, 35
Factor -d**4 + 4*d**3 - 3*d**2 - 4*d + 4.
-(d - 2)**2*(d - 1)*(d + 1)
Factor k**5/4 - 7*k**4/4 + 15*k**3/4 - 9*k**2/4.
k**2*(k - 3)**2*(k - 1)/4
Factor 2*n**2/7 - 698*n/7 - 100.
2*(n - 350)*(n + 1)/7
What is h in 2*h**5/7 + 102*h**4/7 + 1062*h**3/7 + 962*h**2/7 = 0?
-37, -13, -1, 0
Suppose 2*y**5/15 - 2*y**4/3 + 2*y**3/3 + 2*y**2/3 - 4*y/5 = 0. Calculate y.
-1, 0, 1, 2, 3
Factor -2*b**2/3 + 23*b/9.
-b*(6*b - 23)/9
Determine k so that 4*k**3 - 504*k**2 + 4740*k - 11600 = 0.
5, 116
Solve 98*w**4 - 160*w**3 + 26*w**2 + 36*w = 0.
-18/49, 0, 1
Factor 2*a**3/3 - 10*a**2 - 48*a - 152/3.
2*(a - 19)*(a + 2)**2/3
Factor -2*u**2 + 158*u + 1020.
-2*(u - 85)*(u + 6)
Factor j**2/3 + 5678*j + 24179763.
(j + 8517)**2/3
Factor 4*q**3 + 76*q**2 - 256*q + 176.
4*(q - 2)*(q - 1)*(q + 22)
Factor -f**4 + 16*f**3 - 96*f**2 + 256*f - 256.
-(f - 4)**4
Factor -s**4/5 + 43*s**3/5 - 42*s**2/5.
-s**2*(s - 42)*(s - 1)/5
Factor -3*s**3/2 + 3*s**2/2 + 3*s/2 - 3/2.
-3*(s - 1)**2*(s + 1)/2
Suppose 2*i**4 - 1110*i**3 + 153452*i**2 + 156792*i - 309136 = 0. What is i?
-2, 1, 278
Solve -90*b**5 + 376*b**4 + 1294*b**3 - 1892*b**2 + 168*b + 144 = 0 for b.
-3, -2/9, 2/5, 1, 6
Factor -2*o**2 - 46*o + 216.
-2*(o - 4)*(o + 27)
Factor 2*s**3 - 132*s**2 - 4446*s - 31096.
2*(s - 92)*(s + 13)**2
Factor -y**5/2 + 9*y**4/2 - 13*y**3 + 9*y**2 + 27*y/2 - 27/2.
-(y - 3)**3*(y - 1)*(y + 1)/2
Suppose 4*u**4 + 16*u**3 + 16*u**2 = 0. What is u?
-2, 0
Factor 5*v**2 - 645*v + 9040.
5*(v - 113)*(v - 16)
Suppose -4*c**4/7 + 10*c**3 - 22*c**2 + 60*c/7 = 0. What is c?
0, 1/2, 2, 15
Find a such that -2*a**3/3 + 2*a**2 + 50*a/3 + 14 = 0.
-3, -1, 7
Suppose p**5 - 13*p**4 - 365*p**3 + 6309*p**2 - 20520*p + 18900 = 0. What is p?
-21, 2, 15
What is h in -h**5/3 - 140*h**4/3 - 1724*h**3 - 19040*h**2/3 - 18496*h/3 = 0?
-68, -2, 0
Factor 289*y**3/6 - 629*y**2/6 + 220*y/3 - 50/3.
(y - 1)*(17*y - 10)**2/6
What is t in -t**3 - 4*t**2 - 4*t = 0?
-2, 0
Find t, given that 7*t**5/9 + 10*t**4/3 + 22*t**3/9 - 8*t**2/3 - 29*t/9 - 2/3 = 0.
-3, -1, -2/7, 1
Factor 5*u**2 + 160*u - 165.
5*(u - 1)*(u + 33)
Factor 5*n**2/6 - 553*n/6 - 37.
(n - 111)*(5*n + 2)/6
Let 2*u**5/5 + 68*u**4 + 16274*u**3/5 + 149784*u**2/5 = 0. Calculate u.
-79, -12, 0
Factor -3*f**3 - 102*f**2 + 3*f + 102.
-3*(f - 1)*(f + 1)*(f + 34)
Solve 20*a**5 - 124*a**4 + 84*a**3 + 188*a**2 - 40*a = 0.
-1, 0, 1/5, 2, 5
Find u such that 3*u**5 - 9*u**4 + 9*u**3 - 3*u**2 = 0.
0, 1
Suppose 2*j**4/19 + 72*j**3/19 - 8*j**2/19 - 288*j/19 = 0. Calculate j.
-36, -2, 0, 2
Factor -15*o**3 - 57*o**2 - 48*o + 12.
-3*(o + 2)**2*(5*o - 1)
Factor 6*n**5/7 - 138*n**4/7 - 42*n**3 - 150*n**2/7.
6*n**2*(n - 25)*(n + 1)**2/7
Find a such that a**2/4 + 32*a + 63 = 0.
-126, -2
Determine b so that -3*b**3/5 - 348*b**2/5 - 10431*b/5 - 19494/5 = 0.
-57, -2
Find k such that -6*k**4 + 130*k**3 - 298*k**2 - 114*k = 0.
-1/3, 0, 3, 19
Let -784*q**4 + 2240*q**3 + 332*q**2 + 12*q = 0. Calculate q.
-1/14, 0, 3
Factor -4*j**2 + 100*j - 400.
-4*(j - 20)*(j - 5)
Solve -56*f**5/9 + 2*f**4/9 + 4*f**3/9 = 0.
-1/4, 0, 2/7
What is j in -3*j**4/5 + 36*j**3 + 3*j**2/5 - 36*j = 0?
-1, 0, 1, 60
Factor -a**5/2 - 4*a**4 + 4*a**3 + 48*a**2 - 72*a.
-a*(a - 2)**2*(a + 6)**2/2
Suppose -2*a**5 + 130*a**4 - 2026*a**3 - 3514*a**2 + 22836*a - 17424 = 0. What is a?
-4, 1, 2, 33
Solve -32*f**2/5 - 446*f/5 + 28/5 = 0.
-14, 1/16
Determine g so that -5*g**5 + 5*g**4 + 65*g**3 - 5*g**2 - 60*g = 0.
-3, -1, 0, 1, 4
Determine j so that -j**3/4 + j**2/4 + 21*j/4 - 45/4 = 0.
-5, 3
Factor -g**2 - 1034*g + 1035.
-(g - 1)*(g + 1035)
Suppose -3*p**4 + 72*p**2 - 192*p + 144 = 0. What is p?
-6, 2
Factor -7*r**3/2 + 400*r**2 + 698*r - 232.
-(r - 116)*(r + 2)*(7*r - 2)/2
Determine k, given that 3*k**3/5 + 123*k**2/5 + 954*k/5 - 216 = 0.
-30, -12, 1
Find s, given that -100*s**2 + 18080*s - 817216 = 0.
452/5
Factor -5*z**5 + 20*z**3 + 10*z**2 - 15*z - 10.
-5*(z - 2)*(z - 1)*(z + 1)**3
Determine p, given that p**4 + 7*p**3 + 5*p**2 - 7*p - 6 = 0.
-6, -1, 1
Suppose x**3/6 + 17*x**2/3 + 50*x + 132 = 0. Calculate x.
-22, -6
Factor 3*s**2 + 288*s.
3*s*(s + 96)
Factor z**4/6 - z**3/6 - 23*z**2/6 - 13*z/2 - 3.
(z - 6)*(z + 1)**2*(z + 3)/6
Factor -7*q**3/2 - 25*q**2 - 53*q/2 + 55.
-(q - 1)*(q + 5)*(7*q + 22)/2
Find p, given that p**3/3 + p**2 - 4*p/3 = 0.
-4, 0, 1
Suppose -b**2/5 + 176*b/5 - 7744/5 = 0. What is b?
88
Solve -15*h**4 + 115*h**3 + 505*h**2 + 485*h + 110 = 0.
-2, -1, -1/3, 11
Suppose 60*f**3 + 64*f**2 - 116*f - 8 = 0. What is f?
-2, -1/15, 1
Solve 3*x**2 + 732*x + 1452 = 0 for x.
-242, -2
Find k, given that 18*k**3/7 - 6376*k**2/7 + 565338*k/7 - 125316/7 = 0.
2/9, 177
Find x such that 2*x**4/3 + 760*x**3/3 - 3094*x**2/3 - 2820*x - 1536 = 0.
-384, -1, 6
Solve -74*k**3/5 + 142*k**2/5 + 234*k/5 + 18/5 = 0 for k.
-1, -3/37, 3
Solve 4*f**5 - 556*f**4 - 3428*f**3 - 7492*f**2 - 6944*f - 2320 = 0 for f.
-2, -1, 145
Factor -3*f**2 - 690*f + 2097.
-3*(f - 3)*(f + 233)
Find n, given that 7*n**5/4 + n**4/2 - 21*n**3/4 - 5*n**2 - n = 0.
-1, -2/7, 0, 2
Solve 2*j**3/7 + 2*j**2/7 - 312*j/7 = 0.
-13, 0, 12
Solve -4*p**2 - 288*p - 5184 = 0 for p.
-36
Determine h, given that 4*h**3 - 12*h**2 - 288*h - 704 = 0.
-4, 11
Find c, given that 20*c**3 + 23*c**2 + 3*c = 0.
-1, -3/20, 0
Determine o, given that 4*o**2 + 104*o + 676 = 0.
-13
Let -5*d**4 + 392*d**3 - 156*d**2 = 0. What is d?
0, 2/5, 78
Let -81*t**2 + 4056*t - 300 = 0. Calculate t.
2/27, 50
Factor j**2/4 + 209*j/2 + 417/4.
(j + 1)*(j + 417)/4
Factor r**3/6 + 23*r**2/6 + 91*r/6 - 169/2.
(r - 3)*(r + 13)**2/6
Find o, given that -5*o**4 + 25*o**3 + 135*o**2 - 405*o - 1350 = 0.
-3, 5, 6
Solve -3*i**5 + 57*i**4 + 264*i**3 + 276*i**2 = 0 for i.
-2, 0, 23
Factor -45*r**2 + 80*r + 20.
-5*(r - 2)*(9*r + 2)
Find d, given that -d**4/2 - d**3/2 + d**2/2 + d/2 = 0.
-1, 0, 1
Factor 19*k**2/6 + 17*k/2 - 3.
(k + 3)*(19*k - 6)/6
Suppose -2*r**2 - 368*r - 366 = 0. Calculate r.
-183, -1
Factor v**3 + 5*v**2 + 6*v.
v*(v + 2)*(v + 3)
Suppose -4*x**3 + 52*x - 48 = 0. What is x?
-4, 1, 3
Factor 2*p**4 + 10*p**3 + 8*p**2.
2*p**2*(p + 1)*(p + 4)
Solve -31*p**2/12 + 21*p/2 - 2/3 = 0 for p.
2/31, 4
Solve -15*a**4 + 950*a**3 - 5340*a**2 - 4310*a + 1995 = 0 for a.
-1, 1/3, 7, 57
What is q in -2*q**4 + 40*q**3 - 104*q**2 - 384*q = 0?
-2, 0, 6, 16
Suppose o**3/2 - 6*o**2 + 11*o/2 = 0. Calculate o.
0, 1, 11
Factor -x**4 + 11*x**3 + 13*x**2 - 11*x - 12.
-(x - 12)*(x - 1)*(x + 1)**2
Determine x so that x**2/4 - 2*x - 9/4 = 0.
-1, 9
What is m in -m**2/7 - 69*m/7 = 0?
-69, 0
Let 5*m**3 + 975*m**2 + 1935*m + 965 = 0. Calculate m.
-193, -1
Suppose -2*h**5/9 + 5*h**4/9 + 5*h**3/9 - 5*h**2/9 - h/3 = 0. What is h?
-1, -1/2, 0, 1, 3
Suppose -y**4/4 - y**3/2 + 57*y**2/4 - 27*y/2 = 0. What is y?
-9, 0, 1, 6
Factor x**2/5 + x/5 - 2/5.
(x - 1)*(x + 2)/5
Let 3*a**2 - 84*a + 513 = 0. What is a?
9, 19
Factor -s**2 - 2850*s - 2030625.
-(s + 1425)**2
Find d, given that -d**4/3 - 2*d**3 - 13*d**2/3 - 4*d - 4/3 = 0.
-2, -1
Factor 2*m**2/5 - 124*m/15 - 14/5.
2*(m - 21)*(3*m + 1)/15
Factor -g**5/6 - 61*g**4/6 - 599*g**3/3 - 1113*g**2 + 5733*g/2 - 3087