 = 0.
-1, 1/8, 2
Let 2*j**2/9 - 10*j/9 - 1000/9 = 0. What is j?
-20, 25
Solve -2*v**2 + 300*v - 882 = 0.
3, 147
Determine b so that -12*b**4/5 + 29*b**3/5 + 668*b**2/5 + 381*b/5 + 54/5 = 0.
-6, -1/3, -1/4, 9
Solve 2*m**2/7 - 6*m - 324/7 = 0 for m.
-6, 27
Factor -5*j**3 - 100*j**2 - 85*j + 190.
-5*(j - 1)*(j + 2)*(j + 19)
Factor -2*c**2/9 - 10*c + 392/9.
-2*(c - 4)*(c + 49)/9
Suppose -c**4 + 70*c**3 - 1584*c**2 + 10368*c + 27648 = 0. Calculate c.
-2, 24
Suppose -h**2/3 - 275*h/3 + 92 = 0. What is h?
-276, 1
Find q, given that -q**2/2 - 424*q - 89888 = 0.
-424
Suppose -20*a**4 - 212*a**3 - 592*a**2 - 208*a + 192 = 0. Calculate a.
-6, -4, -1, 2/5
Determine o so that 4*o**4/5 - 136*o**3/5 + 252*o**2/5 + 136*o/5 - 256/5 = 0.
-1, 1, 2, 32
Let -7*z**4/4 + 33*z**3/4 - z**2 - 15*z - 4 = 0. What is z?
-1, -2/7, 2, 4
Factor x**3 - 362*x**2 - 727*x - 364.
(x - 364)*(x + 1)**2
Solve -4*s**4 - 716*s**3 - 4200*s**2 - 8336*s - 5536 = 0 for s.
-173, -2
Solve 3*x**2 - 63*x + 330 = 0 for x.
10, 11
Factor 3*j**3 - 33*j**2 - 168*j - 180.
3*(j - 15)*(j + 2)**2
Factor 5*h**5 + 35*h**4 + 75*h**3 + 65*h**2 + 20*h.
5*h*(h + 1)**3*(h + 4)
Find t such that -3*t**5 + 42*t**4 - 63*t**3 - 120*t**2 + 132*t + 144 = 0.
-1, 2, 12
Factor -k**2/5 + 1186*k/5 - 237.
-(k - 1185)*(k - 1)/5
Factor 4*t**2 - 2088*t - 4192.
4*(t - 524)*(t + 2)
Solve -2*s**3/3 + 14*s**2 - 12*s - 80/3 = 0 for s.
-1, 2, 20
Let 4*j**3 + 104*j**2 + 836*j + 1936 = 0. What is j?
-11, -4
Solve -14*t**4/13 - 332*t**3/13 + 810*t**2/13 - 568*t/13 + 8 = 0.
-26, 2/7, 1
Factor 3*w**3 - 27*w**2 + 45*w + 75.
3*(w - 5)**2*(w + 1)
Factor g**5/5 - g**4/5 - g**3/5 + g**2/5.
g**2*(g - 1)**2*(g + 1)/5
Factor -32*q**3/9 + 464*q**2/9 - 1976*q/9 + 676/3.
-4*(2*q - 13)**2*(2*q - 3)/9
Let 4*z**2/5 + 196*z/5 + 376/5 = 0. What is z?
-47, -2
Find b such that -35*b**5 - 45*b**4 + 95*b**3 + 65*b**2 - 60*b - 20 = 0.
-2, -1, -2/7, 1
Determine l so that -3*l**2/7 + 117*l/7 + 120/7 = 0.
-1, 40
Factor -5*h**4 - 600*h**3 - 17390*h**2 + 36600*h - 18605.
-5*(h - 1)**2*(h + 61)**2
What is c in -c**5/4 + 17*c**4/4 - 61*c**3/4 - 117*c**2/4 + 81*c/2 = 0?
-2, 0, 1, 9
Find x such that -5*x**5 - 55*x**4 - 165*x**3 - 185*x**2 - 70*x = 0.
-7, -2, -1, 0
Factor j**2/4 - 587*j + 344569.
(j - 1174)**2/4
Determine x, given that -x**5/2 - 109*x**4/2 - 2915*x**3/2 + 3025*x**2/2 = 0.
-55, 0, 1
Solve 4*b**2/3 - 320*b/3 - 1068 = 0 for b.
-9, 89
Solve -4*b**4 - 4*b**3 + 16*b**2 + 16*b = 0.
-2, -1, 0, 2
Factor 14*i**3 - 4*i**2 - 224*i + 64.
2*(i - 4)*(i + 4)*(7*i - 2)
Factor -2*r**2/7 + 18/7.
-2*(r - 3)*(r + 3)/7
Solve -3*v**2 + 462*v - 459 = 0.
1, 153
Factor 12*r**4 + 93*r**3 - 420*r**2 + 99*r.
3*r*(r - 3)*(r + 11)*(4*r - 1)
Factor -p**3/10 - 19*p**2/5 + 173*p/10 + 21.
-(p - 5)*(p + 1)*(p + 42)/10
Solve -9*t**3/2 + 33*t**2/2 + 171*t - 120 = 0 for t.
-5, 2/3, 8
Let 5*u**3/2 - 5*u**2/2 - 25*u/2 - 15/2 = 0. What is u?
-1, 3
Find x such that x**4/8 + 9*x**3/8 + 3*x**2/4 - 2*x = 0.
-8, -2, 0, 1
Determine g so that -17*g**5/4 - 133*g**4/8 - 24*g**3 - 59*g**2/4 - 11*g/4 + 3/8 = 0.
-1, 3/34
Solve 88*v**5/3 - 490*v**4/3 - 3392*v**3/3 - 4912*v**2/3 - 1664*v/3 - 160/3 = 0 for v.
-2, -1/4, -2/11, 10
What is p in -p**3/2 - 57*p**2 - 335*p/2 - 111 = 0?
-111, -2, -1
Solve -5*j**5 + 10*j**4 + 15*j**3 - 20*j**2 - 20*j = 0 for j.
-1, 0, 2
Suppose q**4/8 + q**3/8 - 3*q**2/4 - q/2 + 1 = 0. What is q?
-2, 1, 2
Suppose -4*x**5 - 168*x**4 + 528*x**3 - 536*x**2 + 180*x = 0. What is x?
-45, 0, 1
Solve -2*s**2 - 524*s - 522 = 0.
-261, -1
Factor 4*g**3 - 2564*g**2 - 4*g + 2564.
4*(g - 641)*(g - 1)*(g + 1)
Find o such that o**3/4 + 63*o**2/2 + 1323*o + 18522 = 0.
-42
Solve -5*s**3 - 170*s**2 - 600*s = 0.
-30, -4, 0
Solve y**3/5 + 24*y**2/5 + 19*y = 0 for y.
-19, -5, 0
Suppose -2*w**5/11 + 14*w**4/11 + 4*w**3/11 - 28*w**2/11 - 2*w/11 + 14/11 = 0. What is w?
-1, 1, 7
What is b in 6*b**4 + 5*b**3 - 37*b**2 + 6*b = 0?
-3, 0, 1/6, 2
Find r, given that 4*r**3/7 - 2*r**2/7 - 10*r/7 - 4/7 = 0.
-1, -1/2, 2
Factor 2*d**2/7 - 1088*d/7 + 1086/7.
2*(d - 543)*(d - 1)/7
Find n, given that 3025*n**4 - 5830*n**3 - 363436*n**2 - 26408*n - 480 = 0.
-10, -2/55, 12
Factor 2*h**2 + 18*h + 28.
2*(h + 2)*(h + 7)
Solve 6*b**5 + 124*b**4 - 1492*b**3 - 1168*b**2 + 1486*b + 1044 = 0 for b.
-29, -1, -2/3, 1, 9
Factor -2*f**3/9 - 2660*f**2/3 - 3537800*f/3 - 4705274000/9.
-2*(f + 1330)**3/9
Factor 4*i**5/9 - 4*i**4/3 - 124*i**3/9 - 260*i**2/9 - 24*i - 64/9.
4*(i - 8)*(i + 1)**3*(i + 2)/9
Let -72*q**4 - 222*q**3 - 15*q**2 + 9*q = 0. Calculate q.
-3, -1/4, 0, 1/6
Factor 57*h**3/4 + 58*h**2 + 61*h + 4.
(h + 2)**2*(57*h + 4)/4
Factor 2*s**2 - 2128*s + 566048.
2*(s - 532)**2
Let -2*b**5/3 + 5*b**4/3 + 4*b**3/3 - 19*b**2/3 + 16*b/3 - 4/3 = 0. What is b?
-2, 1/2, 1, 2
Let i**4 - 25*i**3/2 - 73*i**2/2 - 15*i = 0. What is i?
-2, -1/2, 0, 15
Determine u, given that -4*u**2 + 196*u + 200 = 0.
-1, 50
Factor 18*a**3 - 43626*a**2 - 58192*a - 19400.
2*(a - 2425)*(3*a + 2)**2
Factor 3*k**5/4 + 99*k**4/4 + 945*k**3/4 + 2025*k**2/4.
3*k**2*(k + 3)*(k + 15)**2/4
Find f, given that -2*f**2/7 - 968*f/7 = 0.
-484, 0
Factor 4*n**2/5 - 64/5.
4*(n - 4)*(n + 4)/5
What is s in -24*s**4/7 + 310*s**3/7 + 1130*s**2/7 + 860*s/7 + 64/7 = 0?
-2, -1, -1/12, 16
Factor -2*g**3 + 156*g**2 - 142*g - 924.
-2*(g - 77)*(g - 3)*(g + 2)
Factor -5*d**2 + 7480*d + 7485.
-5*(d - 1497)*(d + 1)
Factor -5*z**2 + 35*z + 150.
-5*(z - 10)*(z + 3)
Factor 75*t**3 - 180*t**2 + 108*t.
3*t*(5*t - 6)**2
Factor -3*n**2/4 + 2397*n/2 - 4791/4.
-3*(n - 1597)*(n - 1)/4
Factor -x**4 + 39*x**3 - 110*x**2 + 72*x.
-x*(x - 36)*(x - 2)*(x - 1)
Factor 4*x**2/5 - 76*x/5 + 192/5.
4*(x - 16)*(x - 3)/5
Solve -4*c**4/5 + 232*c**3/5 - 3364*c**2/5 = 0.
0, 29
Solve 4*x**2 - 8*x - 60 = 0.
-3, 5
Factor f**3/2 - 3*f**2/2 - 9*f.
f*(f - 6)*(f + 3)/2
Factor -m**2 - 5*m - 4.
-(m + 1)*(m + 4)
Factor b**2/5 - 39*b/5 + 54.
(b - 30)*(b - 9)/5
Factor i**4/4 + 9*i**3/2 - 95*i**2 - 3249*i/2 + 6859/4.
(i - 19)*(i - 1)*(i + 19)**2/4
Factor 165*f**2 - 7765*f + 470.
5*(f - 47)*(33*f - 2)
What is o in 2*o**3/7 - 310*o**2/7 - 626*o/7 - 314/7 = 0?
-1, 157
Factor o**3 + 164*o**2 - o - 164.
(o - 1)*(o + 1)*(o + 164)
Factor r**5/4 + 2*r**4 + 4*r**3 - 9*r**2/2 - 81*r/4 - 27/2.
(r - 2)*(r + 1)*(r + 3)**3/4
Factor 5*h**2 - 30*h - 80.
5*(h - 8)*(h + 2)
Factor 2*q**4/3 + 10*q**3/3 + 2*q**2 - 6*q.
2*q*(q - 1)*(q + 3)**2/3
Suppose -4*g**3/3 - 32*g**2 + 100*g/3 = 0. Calculate g.
-25, 0, 1
Find a such that -a**5/6 + 23*a**4/2 - 204*a**3 + 578*a**2/3 = 0.
0, 1, 34
Factor 2*n**4 - 2*n**3 - 30*n**2 - 46*n - 20.
2*(n - 5)*(n + 1)**2*(n + 2)
What is w in 2*w**5 - 6*w**4 - 40*w**3 + 128*w + 96 = 0?
-2, -1, 2, 6
Factor b**4 - 6*b**3 + b**2 + 24*b + 16.
(b - 4)**2*(b + 1)**2
Let 2*t**2/3 - 430*t/3 + 1688/3 = 0. What is t?
4, 211
What is h in 42*h**5/5 - 7052*h**4/5 + 59136*h**3 + 28224*h**2/5 = 0?
-2/21, 0, 84
Find a, given that 2*a**3/5 - 4004*a**2/5 + 401600*a - 800000 = 0.
2, 1000
Factor -u**3/3 + 325*u**2/3 + 1321*u/3 - 1645/3.
-(u - 329)*(u - 1)*(u + 5)/3
Factor b**5/2 + 95*b**4/2 - 99*b**3/2 - 283*b**2/2 + 239*b - 96.
(b - 1)**3*(b + 2)*(b + 96)/2
Factor 2*c**5/7 - 272*c**4/7 - 1108*c**3/7 - 1672*c**2/7 - 1118*c/7 - 40.
2*(c - 140)*(c + 1)**4/7
Solve -2*b**2/7 - 116*b/7 + 118/7 = 0 for b.
-59, 1
Factor 14*n**2 - 1488*n + 424.
2*(n - 106)*(7*n - 2)
Let 4*s**4 - 116*s**3 + 760*s**2 = 0. Calculate s.
0, 10, 19
Factor o**5/4 - 59*o**4/4 + 171*o**3/4 - 169*o**2/4 + 14*o.
o*(o - 56)*(o - 1)**3/4
Solve g**3 - 56*g**2 + 55*g = 0.
0, 1, 55
Determine j, given that -j**5/5 - j**4/5 + 2*j**3/5 + 2*j**2/5 - j/5 - 1/5 = 0.
-1, 1
Factor 4*s**3/3 + 304*s**2/3 + 2112*s + 6912.
4*(s + 4)*(s + 36)**2/3
Factor -2*w**3 + 20*w**2 + 26*w - 44.
-2*(w - 11)*(w - 1)*(w + 2)
What is u in u**5/3 + 3*u**4 + 20*u**3/3 + 4*u**2 = 0?
-6, -2, -1, 0
Suppose -4*m**2/3 + 208*m/3 + 1920 = 0. Calculate m.
-20, 72
Determine u, given that 2*u**3/3 - 14*u**2/3 = 0.
0, 7
Determine s, given that -s**2 + 5*s + 14 = 0.
-2, 7
What is t in t**2 - 4546*t + 4545 = 0?
1, 4545
Factor 21*h**4 - 141*h**3 - 210*h**2 - 48*h.
3*h*(h - 8)*(h + 1)*(7*h + 2)
Factor -2*h**5/7 + 29*h**4/7 - 39*h**3/7.
-h**3*(h - 13)*(2*h - 3)/7
Factor -2*a**4 + 44*a**3 - 234*a**2 - 176*a + 968.
-2*(a - 11)**2*(a - 2)*(a + 2)
Factor -4*i**3 - 104*i**2 + 6268*i - 6160.
-4*(i - 28)*(i - 1)*(i + 55)
Suppose