g - 57)*(g + 1)
What is b in -2*b**2/11 - 206*b/11 + 208/11 = 0?
-104, 1
Factor t**2 - 17*t + 16.
(t - 16)*(t - 1)
Factor -j**5/4 + 5*j**4/4 - 7*j**3/4 + 3*j**2/4.
-j**2*(j - 3)*(j - 1)**2/4
Factor -2*p**2/7 - 1637*p/7 + 117.
-(p + 819)*(2*p - 1)/7
Factor 5*p**3/3 + 5*p**2 - 50*p/3.
5*p*(p - 2)*(p + 5)/3
Factor 5*m**3 + 530*m**2 + 12320*m - 94080.
5*(m - 6)*(m + 56)**2
Factor 2*z**4/11 - 26*z**2/11 + 24*z/11.
2*z*(z - 3)*(z - 1)*(z + 4)/11
Factor v**3/2 - 5*v**2 + 6*v + 36.
(v - 6)**2*(v + 2)/2
Factor -2*v**5/9 + 334*v**4/9 - 662*v**3/9 + 110*v**2/3.
-2*v**2*(v - 165)*(v - 1)**2/9
Factor -5*y**2 + 350*y - 2205.
-5*(y - 63)*(y - 7)
Factor 2*b**5/13 - 10*b**4/13 + 12*b**3/13 + 8*b**2/13 - 16*b/13.
2*b*(b - 2)**3*(b + 1)/13
Find k such that 2*k**3 + 700*k**2 = 0.
-350, 0
Determine p so that -5*p**5 + 1035*p**4 + 1055*p**3 - 3115*p**2 - 1050*p + 2080 = 0.
-2, -1, 1, 208
Find k, given that 3*k**2/2 + 189*k/2 - 1221 = 0.
-74, 11
Factor 4*s**5 + 20*s**4 - 124*s**3 + 172*s**2 - 72*s.
4*s*(s - 2)*(s - 1)**2*(s + 9)
Let -d**4/5 + 22*d**3/5 + 159*d**2/5 + 252*d/5 = 0. What is d?
-3, 0, 28
Suppose 3*n**3 + 144*n**2 + 1404*n - 8112 = 0. What is n?
-26, 4
Factor o**5 - 54*o**4 + 254*o**3 - 448*o**2 + 345*o - 98.
(o - 49)*(o - 2)*(o - 1)**3
Factor 3*a**4/4 + 27*a**3/4 + 15*a**2 + 9*a.
3*a*(a + 1)*(a + 2)*(a + 6)/4
Solve 3*v**3 + 3354*v**2 = 0.
-1118, 0
Let 2*i**5/3 - 16*i**4/3 + 40*i**3/3 - 32*i**2/3 = 0. Calculate i.
0, 2, 4
Let -x**5/3 + 11*x**4/4 + 41*x**3/3 + 63*x**2/4 + 19*x/6 - 2 = 0. What is x?
-2, -1, 1/4, 12
Suppose 18*d**5 + 255*d**4/4 + 86*d**3 + 109*d**2/2 + 16*d + 7/4 = 0. Calculate d.
-1, -7/8, -1/3
Factor 5*x**3 + 28*x**2 - 16*x - 192.
(x + 4)**2*(5*x - 12)
Determine s so that 7*s**3/8 + 15*s**2/8 + 9*s/8 + 1/8 = 0.
-1, -1/7
Let r**3/6 + 5*r**2/2 + 13*r/2 - 55/6 = 0. What is r?
-11, -5, 1
Factor -162*t**2/7 - 576*t/7 - 512/7.
-2*(9*t + 16)**2/7
Determine o, given that -o**2 + 302*o + 1224 = 0.
-4, 306
Solve 3*z**4/4 + 3*z**3/4 - 12*z**2 - 12*z = 0.
-4, -1, 0, 4
Solve 75*a**5/4 - 945*a**4/2 - 8373*a**3/4 + 732*a**2 + 1467*a + 348 = 0 for a.
-4, -2/5, 1, 29
Factor -m**2/2 + 25*m - 49/2.
-(m - 49)*(m - 1)/2
Solve 3*q**5/8 + 9*q**4/4 + 3*q**3/8 - 9*q**2 - 15*q/2 = 0.
-5, -2, -1, 0, 2
Factor b**2/3 - 631*b/3 + 210.
(b - 630)*(b - 1)/3
Solve -5*q**2 - 1260*q + 1265 = 0 for q.
-253, 1
Factor 80*j**2 + 360*j + 405.
5*(4*j + 9)**2
Let 5*z**3 - 30*z**2 - 125*z - 90 = 0. Calculate z.
-2, -1, 9
Suppose -15*d**5/7 + 24*d**4/7 + 156*d**3/7 - 234*d**2/7 - 27*d + 162/7 = 0. Calculate d.
-3, -1, 3/5, 2, 3
Solve -4*q**4 - 28*q**3 - 32*q**2 + 64*q = 0.
-4, 0, 1
Factor -x**4/3 - 4*x**3 + x**2/3 + 4*x.
-x*(x - 1)*(x + 1)*(x + 12)/3
Factor -n**4/2 + 5*n**3/2 - 3*n**2.
-n**2*(n - 3)*(n - 2)/2
Factor 2*t**3 + 1410*t**2 + 331350*t + 25955750.
2*(t + 235)**3
Determine q so that 3*q**3 - 42*q**2 + 129*q - 90 = 0.
1, 3, 10
Suppose -v**4/2 - 27*v**3 + 487*v**2/2 - 288*v - 558 = 0. Calculate v.
-62, -1, 3, 6
Find r, given that 3*r**5/5 - 17*r**4/5 + 21*r**3/5 - 3*r**2/5 - 4*r/5 = 0.
-1/3, 0, 1, 4
Let -14*v**5 + 46*v**4/3 + 2*v**3/3 - 2*v**2 = 0. Calculate v.
-1/3, 0, 3/7, 1
Solve -t**4 - 9*t**3 - 2*t**2 + 84*t - 72 = 0.
-6, 1, 2
Factor -21*t**2/2 - 5736*t - 1638.
-3*(t + 546)*(7*t + 2)/2
Factor -5*t**4 + 45*t**3 - 40*t**2.
-5*t**2*(t - 8)*(t - 1)
Let -5*k**5 + 25*k**4 - 35*k**3 - 5*k**2 + 40*k - 20 = 0. Calculate k.
-1, 1, 2
Let -5*i**5 - 17*i**4 - 6*i**3 + 20*i**2 + 8*i = 0. What is i?
-2, -2/5, 0, 1
Factor 2*c**3/7 - 38*c**2 + 1386*c - 7938.
2*(c - 63)**2*(c - 7)/7
Factor 2*w**2 + 166*w + 2144.
2*(w + 16)*(w + 67)
Factor -l**3 + 12*l**2 + 60*l + 64.
-(l - 16)*(l + 2)**2
Suppose -196*g**4 + 112*g**3 + 180*g**2 - 112*g + 16 = 0. What is g?
-1, 2/7, 1
Find p, given that -2*p**3 - 284*p**2 - 1650*p - 2448 = 0.
-136, -3
Factor -2*g**3/7 + 246*g**2/7 - 136*g.
-2*g*(g - 119)*(g - 4)/7
Suppose -7*c**5 - 82*c**4 - 179*c**3 - 68*c**2 + 36*c = 0. Calculate c.
-9, -2, -1, 0, 2/7
Find l, given that 5*l**3 + 109*l**2/4 + 79*l/2 + 33/4 = 0.
-3, -11/5, -1/4
Determine x so that -8*x**5 - 78*x**4 - 236*x**3 - 240*x**2 - 44*x + 30 = 0.
-5, -3, -1, 1/4
Suppose 46*l**3/11 - 226*l**2/11 + 256*l/11 + 24/11 = 0. What is l?
-2/23, 2, 3
Factor i**4 + 854*i**3 + 245340*i**2 + 24334344*i + 179406144.
(i + 8)*(i + 282)**3
Factor -2*b**2/7 - 18780*b/7 - 44086050/7.
-2*(b + 4695)**2/7
What is z in -192*z**5/7 - 624*z**4/7 + 1500*z**3/7 - 123*z**2 + 192*z/7 - 15/7 = 0?
-5, 1/4, 1
Factor 2*b**2/9 - 14*b.
2*b*(b - 63)/9
Factor 3*j**3/5 + 84*j**2 - 429*j/5 - 846/5.
3*(j - 2)*(j + 1)*(j + 141)/5
Factor -g**5/4 + 303*g**4/2 + 1827*g**3/4.
-g**3*(g - 609)*(g + 3)/4
Factor -3*r**2/4 - 3165*r/2 - 3339075/4.
-3*(r + 1055)**2/4
Let 5*b**4 + 20*b**3 + 5*b**2 - 30*b = 0. What is b?
-3, -2, 0, 1
Factor -14*c**2/15 - 4*c/15.
-2*c*(7*c + 2)/15
Determine v so that -13*v**5 - 213*v**4/4 - 113*v**3/2 - 3*v**2 + 2*v = 0.
-2, -1/4, 0, 2/13
Factor -2*w**4/7 - 10*w**3/7.
-2*w**3*(w + 5)/7
Solve -49*s**3 - 105*s**2 + 117*s - 27 = 0 for s.
-3, 3/7
Determine b so that 16*b**3/13 - 14*b**2 + 66*b/13 = 0.
0, 3/8, 11
Factor 5*u**2 - 685*u.
5*u*(u - 137)
Factor -3*c**2 - 102*c - 192.
-3*(c + 2)*(c + 32)
What is n in -2*n**5/3 + 17*n**4/3 - 5*n**3/3 - 25*n**2/3 + 7*n/3 + 8/3 = 0?
-1, -1/2, 1, 8
Factor y**3 + 2*y**2 - y - 2.
(y - 1)*(y + 1)*(y + 2)
Find x, given that -3*x**5 - 246*x**4 - 3963*x**3 + 44280*x**2 - 97200*x = 0.
-45, 0, 4
Solve -5*u**2 + 50*u - 45 = 0.
1, 9
What is f in -f**2/6 + 5*f/2 + 17/3 = 0?
-2, 17
Let 4*r**5 - 28*r**4 + 60*r**3 - 20*r**2 - 64*r + 48 = 0. What is r?
-1, 1, 2, 3
Factor 4*v**4 + 1076*v**3 + 71821*v**2 - 72630*v + 18225.
(v + 135)**2*(2*v - 1)**2
Suppose -2*k**2/7 + 324*k/7 = 0. Calculate k.
0, 162
Find x, given that -6*x**2/7 - 16*x - 72/7 = 0.
-18, -2/3
Let -j**2 - 7*j + 44 = 0. Calculate j.
-11, 4
Find q such that 2*q**5/3 - 122*q**4/21 - 460*q**3/7 - 3800*q**2/21 - 3664*q/21 - 256/7 = 0.
-3, -2, -2/7, 16
Factor w**4/2 + 355*w**3/2 + 21063*w**2 + 842402*w + 821516.
(w + 1)*(w + 118)**3/2
Factor -t**4/2 - 19*t**3 - 361*t**2/2.
-t**2*(t + 19)**2/2
Solve -5*q**2 + 10890*q - 10885 = 0.
1, 2177
Determine x, given that -4*x**4 + 8*x**3 + 12*x**2 - 32*x + 16 = 0.
-2, 1, 2
Factor -2*s**3 - 50*s**2 - 94*s - 46.
-2*(s + 1)**2*(s + 23)
Factor 10*c**3/3 + 16*c**2/3 - 38*c/3 + 4.
2*(c - 1)*(c + 3)*(5*c - 2)/3
What is v in v**2 + 514*v - 515 = 0?
-515, 1
Solve -y**2 + 72*y - 272 = 0.
4, 68
Solve 10*x**3 + 6814*x**2 + 9524*x + 2720 = 0.
-680, -1, -2/5
Factor 2*y**2/9 - 20*y/3 + 42.
2*(y - 21)*(y - 9)/9
Factor 3*d**2 + 93*d.
3*d*(d + 31)
Let -p**4/4 + 125*p**3/4 - 183*p**2/2 - p + 122 = 0. Calculate p.
-1, 2, 122
Suppose 4*i**5 - 1012*i**4 + 64512*i**3 - 63504*i**2 = 0. Calculate i.
0, 1, 126
Solve -2*q**4/3 - 350*q**3 - 61596*q**2 - 3693672*q - 10536048 = 0 for q.
-174, -3
What is m in 5*m**3 - 1580*m**2 + 1575*m = 0?
0, 1, 315
Factor 3*b**3 - 570*b**2 + 31059*b - 363312.
3*(b - 87)**2*(b - 16)
Factor h**4/7 - 6*h**3/7 - 47*h**2/7 - 12*h - 44/7.
(h - 11)*(h + 1)*(h + 2)**2/7
Factor 5*c**4 - 5*c**2.
5*c**2*(c - 1)*(c + 1)
Find w, given that w**4 - 11*w**3 + 30*w**2 = 0.
0, 5, 6
Factor g**4/2 - 42*g**3 + 794*g**2 + 3696*g + 3872.
(g - 44)**2*(g + 2)**2/2
Factor -2*i**4 + 10*i**3 + 6*i**2 - 34*i + 20.
-2*(i - 5)*(i - 1)**2*(i + 2)
Solve 14*p**5/9 - 2*p**4 - 94*p**3/9 + 14*p**2/3 + 80*p/9 - 8/3 = 0.
-2, -1, 2/7, 1, 3
Factor 2*z**4 - 14*z**2 - 12*z.
2*z*(z - 3)*(z + 1)*(z + 2)
What is b in 5314805*b**2 + 10310*b + 5 = 0?
-1/1031
Let 5*z**5 - 10*z**4 + 10*z**2 - 5*z = 0. Calculate z.
-1, 0, 1
Find z, given that 5*z**4 + 12*z**3 + 9*z**2 + 2*z = 0.
-1, -2/5, 0
Determine p, given that -2*p**4 + 14*p**3/5 + 6*p**2/5 - 14*p/5 + 4/5 = 0.
-1, 2/5, 1
Determine a, given that -2*a**5/19 - 2*a**4/19 + 8*a**3/19 + 8*a**2/19 = 0.
-2, -1, 0, 2
Factor 2*a**5/9 - 4*a**4/9 - 14*a**3/9 - 8*a**2/9.
2*a**2*(a - 4)*(a + 1)**2/9
Factor 3*w**5 + 24*w**4 + 33*w**3 - 60*w**2.
3*w**2*(w - 1)*(w + 4)*(w + 5)
Factor o**2/5 - 12*o/5 - 9.
(o - 15)*(o + 3)/5
Let 4*k**3/3 + 2588*k**2/3 + 139104*k - 139968 = 0. What is k?
-324, 1
Factor 2*n**2/11 + 288*n/11 + 568/11.
2*(n + 2)*(n + 142)/11
What is r in -r**3/2 - 22*r**2 - 537*r/2 - 621 = 0?
-23, -18, -3
Factor j**4 - 12*j**3 + 13*j**2 + 66*j + 40.
(j - 10)*(j - 4)*(j + 1)**2
Factor -16*k**2 + 1