-4*q**2/3 + 20*q - 176/3 = 0?
4, 11
Factor -3*w**2/5 + 252*w.
-3*w*(w - 420)/5
Find t such that 2*t**4/7 + 968*t**3/7 + 117128*t**2/7 = 0.
-242, 0
Solve -5*w**2 + 95*w + 100 = 0 for w.
-1, 20
Factor -w**2 - 968*w + 1940.
-(w - 2)*(w + 970)
Factor -4*c**4 + 20*c**3 - 16*c**2.
-4*c**2*(c - 4)*(c - 1)
Find u such that 3*u**2 + 1188*u + 117612 = 0.
-198
Suppose -4*t**3/9 + 1352*t**2/9 + 2716*t/9 + 1360/9 = 0. Calculate t.
-1, 340
Factor -n**2/4 + 113*n - 12769.
-(n - 226)**2/4
Factor 3*b**3 - 66*b**2 + 123*b - 60.
3*(b - 20)*(b - 1)**2
Factor 4*z**4 - 16*z**3 + 24*z**2 - 16*z + 4.
4*(z - 1)**4
Let -2*h**3 + 4*h**2 + 26*h + 20 = 0. Calculate h.
-2, -1, 5
Factor 5*v**3 - 505*v**2 + 1955*v - 1455.
5*(v - 97)*(v - 3)*(v - 1)
Factor -242*j**2 + 440*j - 200.
-2*(11*j - 10)**2
Find j such that -154*j**4 + 1066*j**3 + 1332*j**2 - 16*j - 128 = 0.
-1, -4/11, 2/7, 8
Factor -3*i**2 + 915*i + 918.
-3*(i - 306)*(i + 1)
Suppose 2*y**3/21 - 302*y**2/21 - 304*y/21 = 0. What is y?
-1, 0, 152
Solve -k**5 + 6*k**4 + 28*k**3 - 6*k**2 - 27*k = 0 for k.
-3, -1, 0, 1, 9
Let 9*n**3 + 124*n**2 + 89*n - 26 = 0. What is n?
-13, -1, 2/9
Factor -q**2 + 32*q + 969.
-(q - 51)*(q + 19)
Factor -3*l**4 - 18*l**3 - 24*l**2.
-3*l**2*(l + 2)*(l + 4)
Factor -5*w**2 + 55*w - 120.
-5*(w - 8)*(w - 3)
Factor -h**4/4 + 49*h**3/4 - 55*h**2.
-h**2*(h - 44)*(h - 5)/4
Factor -2*t**2/7 + 120*t - 12600.
-2*(t - 210)**2/7
Factor -2*o**3 + 1110*o**2 - 151200*o - 784000.
-2*(o - 280)**2*(o + 5)
Let 2*b**2 + 88*b + 168 = 0. Calculate b.
-42, -2
Find y, given that 3*y**4/7 = 0.
0
Factor -i**5/4 + 7*i**4/4 - 11*i**3/4 + 5*i**2/4.
-i**2*(i - 5)*(i - 1)**2/4
Let -5*v**4 + 15*v**3 + 30*v**2 - 140*v + 120 = 0. Calculate v.
-3, 2
Let 2*f**2/3 - 13*f/6 + 5/3 = 0. Calculate f.
5/4, 2
Solve -2*f**4 - 4*f**3 + 38*f**2 + 40*f = 0.
-5, -1, 0, 4
Determine v, given that 2*v**5/7 - v**4/7 - 2*v**3 + 19*v**2/7 - 6*v/7 = 0.
-3, 0, 1/2, 1, 2
Factor 2*d**2 + 24*d - 26.
2*(d - 1)*(d + 13)
Factor -2*i**3/5 + 12*i**2/5 - 22*i/5 + 12/5.
-2*(i - 3)*(i - 2)*(i - 1)/5
Solve -3*d**2 - 144*d - 141 = 0.
-47, -1
Find a, given that 198*a**3 + 398*a**2 + 202*a + 2 = 0.
-1, -1/99
Determine f so that f**2/3 + 13*f/3 - 68/3 = 0.
-17, 4
Let 3*d**3/4 + 243*d**2/2 - 1497*d/4 - 495 = 0. Calculate d.
-165, -1, 4
Solve -2*g**2/3 - 80*g - 2400 = 0 for g.
-60
What is i in -2*i**3/5 + 8*i**2/5 + 22*i/5 + 12/5 = 0?
-1, 6
Solve 7*g**3 + 184*g**2 - 340*g - 112 = 0 for g.
-28, -2/7, 2
What is d in -d**3/10 + 91*d**2/5 - 4048*d/5 - 8464/5 = 0?
-2, 92
Factor l**2/4 - 7*l/4 + 5/2.
(l - 5)*(l - 2)/4
Factor -8*p**3 + 22*p**2 - 14*p.
-2*p*(p - 1)*(4*p - 7)
Let -5*k**4 + 50*k**3 - 165*k**2 + 220*k - 100 = 0. What is k?
1, 2, 5
Factor -5*b**4/2 + 9*b**3/2 + 5*b**2/2 - 9*b/2.
-b*(b - 1)*(b + 1)*(5*b - 9)/2
Let -162*s**4/11 + 6876*s**3/11 + 35038*s**2/11 - 16584*s/11 + 1880/11 = 0. What is s?
-5, 2/9, 47
Factor 3*o**3 + 924*o**2 + 71148*o.
3*o*(o + 154)**2
What is v in -2*v**5/11 + 4*v**4/11 + 4*v**3/11 - 16*v**2/11 + 14*v/11 - 4/11 = 0?
-2, 1
Factor -4*v**2 - 84*v + 400.
-4*(v - 4)*(v + 25)
Solve -3*a**2/4 + 5*a - 3 = 0 for a.
2/3, 6
Suppose 2*l**3/13 - 56*l**2/13 + 154*l/13 - 100/13 = 0. What is l?
1, 2, 25
Factor -k**4 + 102*k**3 + 103*k**2.
-k**2*(k - 103)*(k + 1)
Factor -2*j**5/3 + 92*j**4/3 - 176*j**3/3.
-2*j**3*(j - 44)*(j - 2)/3
Solve 4*h**3 + 172*h**2 + 480*h = 0 for h.
-40, -3, 0
Suppose z**5/4 - 27*z**4/4 + 239*z**3/4 - 673*z**2/4 - 60*z + 175 = 0. What is z?
-1, 1, 7, 10
Factor 4*p**3 + 90*p**2 - 1726*p + 840.
2*(p - 12)*(p + 35)*(2*p - 1)
Factor -r**2 + 11*r + 12.
-(r - 12)*(r + 1)
Suppose -5*j**2 + 1120*j - 2220 = 0. What is j?
2, 222
Factor j**3/6 + 13*j**2/6 + 23*j/6 + 11/6.
(j + 1)**2*(j + 11)/6
What is c in -3*c**3 - 18657*c**2 - 38675961*c - 26725089051 = 0?
-2073
Factor 5*f**3 - 395*f**2 + 7600*f + 8000.
5*(f - 40)**2*(f + 1)
Solve -3*f**4 + 105*f**3 - 294*f**2 + 192*f = 0 for f.
0, 1, 2, 32
Find y, given that 4*y**2 - 19720*y + 24304900 = 0.
2465
Factor -64*p**4 - 160*p**3 - 68*p**2 - 8*p.
-4*p*(p + 2)*(4*p + 1)**2
Determine f, given that -3*f**3/2 - 3*f**2/2 + 6*f + 6 = 0.
-2, -1, 2
Factor 2*h**3/7 - 8*h**2/7 - 10*h + 300/7.
2*(h - 5)**2*(h + 6)/7
Find n, given that 4*n**3/5 + 3*n**2/5 - 7*n/5 = 0.
-7/4, 0, 1
Factor -133*h**2/6 - h/3.
-h*(133*h + 2)/6
Solve -6*z**5 + 1124*z**4 - 2594*z**3 + 740*z**2 = 0.
0, 1/3, 2, 185
Factor -i**2/5 - 26*i/5 - 33.
-(i + 11)*(i + 15)/5
Determine c so that -2*c**2/13 + 2144*c/13 + 2146/13 = 0.
-1, 1073
Factor 2*r**3/13 + 2*r**2/13 - 18*r/13 - 18/13.
2*(r - 3)*(r + 1)*(r + 3)/13
Let -m**2 - 119*m + 120 = 0. What is m?
-120, 1
Factor 5*b**2 - 40*b.
5*b*(b - 8)
What is p in 7938*p**4 + 8442*p**3 - 15364*p**2 - 1000*p - 16 = 0?
-2, -2/63, 1
Factor 500*d**5 - 4400*d**4 - 178060*d**3 + 339192*d**2 + 20511792*d + 85645728.
4*(d - 17)**2*(5*d + 42)**3
Factor 4*h**2/3 + 100*h/3 + 152.
4*(h + 6)*(h + 19)/3
Factor 3*c**3/4 + 48*c**2 - 1245*c/4 + 525/2.
3*(c - 5)*(c - 1)*(c + 70)/4
Factor -20*v**3 + 125*v**2 + 290*v - 80.
-5*(v - 8)*(v + 2)*(4*v - 1)
Find d, given that -3*d**2 - 4818*d - 1934427 = 0.
-803
Factor s**5 - 36*s**4 + 248*s**3 - 704*s**2 + 912*s - 448.
(s - 28)*(s - 2)**4
Solve 36*b**3 - 176*b**2 - 36*b + 176 = 0 for b.
-1, 1, 44/9
Factor 22*z**3 - 136*z**2 - 130*z + 28.
2*(z - 7)*(z + 1)*(11*z - 2)
Determine d so that d**2 - 19*d + 60 = 0.
4, 15
Factor 5*g**2 + 95*g + 90.
5*(g + 1)*(g + 18)
What is k in 8*k**5/3 - 52*k**4/3 + 116*k**3/3 - 88*k**2/3 - 16*k/3 + 32/3 = 0?
-1/2, 1, 2
Determine t so that -2*t**3/3 - 726*t**2 - 1450*t - 2174/3 = 0.
-1087, -1
Find o, given that o**3/5 - 9*o**2/5 - 256*o/5 - 132 = 0.
-10, -3, 22
Factor -5*x**3 - 135*x**2 - 1155*x - 3025.
-5*(x + 5)*(x + 11)**2
Factor 5*m**2 - 85*m + 80.
5*(m - 16)*(m - 1)
Factor 4*w**4/3 - 271*w**3/3 + 1192*w**2/3 + 105*w.
w*(w - 63)*(w - 5)*(4*w + 1)/3
Factor g**5/3 - 8*g**4/3 + 7*g**3 - 22*g**2/3 + 8*g/3.
g*(g - 4)*(g - 2)*(g - 1)**2/3
Solve 28*s**2 + 2000*s - 1152 = 0 for s.
-72, 4/7
Factor 3*u**2 - 3405*u + 3402.
3*(u - 1134)*(u - 1)
Factor -3*z**2 - 411*z + 834.
-3*(z - 2)*(z + 139)
What is v in -4*v**4 - 40*v**3 - 128*v**2 - 152*v - 60 = 0?
-5, -3, -1
Factor 12*f**3 - 2300*f**2 + 8296*f - 4512.
4*(f - 188)*(f - 3)*(3*f - 2)
Find g, given that 9*g**3 - 6*g**2 - 21*g - 6 = 0.
-1, -1/3, 2
Determine w, given that -9*w**5/4 - 33*w**4/2 + 69*w**3/2 + 3*w**2 - 129*w/4 + 27/2 = 0.
-9, -1, 2/3, 1
Determine v so that -50*v**3 + 178*v**2 - 84*v = 0.
0, 14/25, 3
Factor 4*k**2 - 60*k.
4*k*(k - 15)
Factor q**3 + 30*q**2 - q - 30.
(q - 1)*(q + 1)*(q + 30)
Factor -2*c**2/7 + 128*c.
-2*c*(c - 448)/7
Suppose d**2/7 + 5*d/7 - 6/7 = 0. What is d?
-6, 1
Suppose 2*j**5 - 6*j**4 + 8*j**2 = 0. What is j?
-1, 0, 2
Find a such that -4*a**3 - 44*a**2 - 156*a - 180 = 0.
-5, -3
Let q**2/9 - 5*q/3 - 16/9 = 0. Calculate q.
-1, 16
Factor y**4 - 159*y**3 + 157*y**2 + 159*y - 158.
(y - 158)*(y - 1)**2*(y + 1)
Find j, given that j**3/4 + 35*j**2/4 + 88*j + 192 = 0.
-16, -3
Find o such that 5*o**4 - 15*o**3 - 5*o**2 + 15*o = 0.
-1, 0, 1, 3
Determine p, given that 35*p**4/3 + 320*p**3/3 + 880*p**2/3 + 640*p/3 = 0.
-4, -8/7, 0
Suppose a**4/3 + a**3 + 2*a**2/3 = 0. What is a?
-2, -1, 0
Factor -7*o**4 + 79*o**3 - 267*o**2 + 245*o - 50.
-(o - 5)**2*(o - 1)*(7*o - 2)
Solve -4*k**3/7 + 68*k**2/7 - 124*k/7 + 60/7 = 0 for k.
1, 15
What is t in t**2 + 13602*t + 46253601 = 0?
-6801
Determine f so that 10*f**3/11 - 328*f**2/11 - 406*f/11 - 68/11 = 0.
-1, -1/5, 34
Find z, given that -2*z**3 + 16*z**2 - 26*z + 12 = 0.
1, 6
Determine h so that -2*h**4/19 - 34*h**3/19 = 0.
-17, 0
Factor -3*z**2/5 + 1779*z/5.
-3*z*(z - 593)/5
Suppose -6*c**2/5 - 234*c/5 = 0. Calculate c.
-39, 0
What is w in -60*w**5 - 100*w**4 - 55*w**3 - 10*w**2 = 0?
-2/3, -1/2, 0
Suppose -3*d**3/4 - 3*d**2/4 + 3*d + 3 = 0. Calculate d.
-2, -1, 2
Suppose -3*n**3 - 15*n**2 + 18*n = 0. Calculate n.
-6, 0, 1
Factor -u**2/6 + 28*u/3 - 320/3.
-(u - 40)*(u - 16)/6
Factor 6*z**3 - 998*z**2 + 41666*z - 13778.
2*(z - 83)**2*(3*z - 1)
Factor -14*a**5 + 30*a**4 - 6*a**3 - 22*a**2 + 12*a.
-2*a*(a - 1)**3*(7*a + 6)
Solve 2*u**2/21 - 124*u/21 + 464/21 = 0.
4, 58
Factor 3*x**3 + 78*x**2 - 81*x.
3*x*(x - 1)*(x + 27)
Solve 3*y**2 - 10998*y + 10079667 = 0 for y.
1833
What is z in -z**2 - 377*z - 376 = 0?
-376, -1
Factor 4*g**3 + 128*g**