0, 1/3
Let 3*n**2 + 1260*n + 2508 = 0. What is n?
-418, -2
Factor -11*w**3/5 + 48*w**2 - 187*w/5 - 42/5.
-(w - 21)*(w - 1)*(11*w + 2)/5
Solve -4*r**5/5 + 4*r**4 - 24*r**3/5 - 8*r**2/5 + 28*r/5 - 12/5 = 0.
-1, 1, 3
Determine n, given that -2*n**2 + 316*n + 318 = 0.
-1, 159
Factor -v**2 - 24*v + 81.
-(v - 3)*(v + 27)
Factor -4*w**2 - 64*w - 240.
-4*(w + 6)*(w + 10)
Solve -2*t**4/11 - 430*t**3/11 - 4134*t**2/11 - 6986*t/11 - 3280/11 = 0.
-205, -8, -1
Determine b so that -3*b**3/8 - 57*b**2/8 - 117*b/4 = 0.
-13, -6, 0
Suppose 3*q**4 + 900*q**3 + 67500*q**2 = 0. Calculate q.
-150, 0
Let -17*s**5 - 304*s**4 - 1341*s**3 + 162*s**2 = 0. What is s?
-9, 0, 2/17
What is f in -5*f**2/3 - 55*f/3 = 0?
-11, 0
Suppose 15*c**4 + 99*c**3 + 192*c**2 + 108*c = 0. Calculate c.
-18/5, -2, -1, 0
Factor -6*y**4/19 + 172*y**3/19 - 112*y**2/19.
-2*y**2*(y - 28)*(3*y - 2)/19
Factor 2*n**3/13 - 56*n**2/13 - 62*n/13 + 116/13.
2*(n - 29)*(n - 1)*(n + 2)/13
Factor a**4 - 259*a**3 + 22446*a**2 - 658244*a + 636056.
(a - 86)**3*(a - 1)
Solve -2*a**3/7 - 318*a**2/7 + 2*a/7 + 318/7 = 0 for a.
-159, -1, 1
Factor -5*v**3 + 120*v**2 - 15*v - 2300.
-5*(v - 23)*(v - 5)*(v + 4)
Factor 5*o**4 - 20*o**3 - 75*o**2 + 90*o.
5*o*(o - 6)*(o - 1)*(o + 3)
Factor x**2/5 + 41*x/5 + 8.
(x + 1)*(x + 40)/5
Determine s, given that -2*s**2/3 + 176*s/3 + 120 = 0.
-2, 90
Factor 2*i**4/7 + 22*i**3/7 - 240*i**2/7 + 216*i/7.
2*i*(i - 6)*(i - 1)*(i + 18)/7
What is x in 341*x**2 + 681*x - 2 = 0?
-2, 1/341
Factor j**3/3 - 10*j**2/3 + 32*j/3 - 32/3.
(j - 4)**2*(j - 2)/3
Let w**3/6 - 5*w**2/2 - 37*w/6 + 17/2 = 0. What is w?
-3, 1, 17
Factor -2312652*i**2 + 5268*i - 3.
-3*(878*i - 1)**2
What is y in 3*y**5/5 + 9*y**4 + 231*y**3/5 + 459*y**2/5 + 54*y = 0?
-6, -5, -3, -1, 0
Factor 2*w**4 + 6*w**3 - 8*w.
2*w*(w - 1)*(w + 2)**2
Factor 3*a**3 + 90*a**2 + 576*a + 1056.
3*(a + 4)**2*(a + 22)
Factor 2*l**2/19 + 46*l/19 + 252/19.
2*(l + 9)*(l + 14)/19
Let 2*v**4/21 + 4*v**3/7 + 16*v**2/21 - 4*v/7 - 6/7 = 0. What is v?
-3, -1, 1
Solve -j**5 - 5*j**4 + 3*j**3 + 17*j**2 + 10*j = 0 for j.
-5, -1, 0, 2
Determine w so that w**3 + 2153*w**2 + 1157775*w - 1159929 = 0.
-1077, 1
Suppose -k**2 - 10*k - 16 = 0. What is k?
-8, -2
Let -2*f**3/17 - 146*f**2/17 - 2158*f/17 - 2014/17 = 0. What is f?
-53, -19, -1
Factor -k**3 - 141*k**2 + 5280*k - 44288.
-(k - 16)**2*(k + 173)
Determine m, given that -2*m**2/5 - 752*m/5 - 70688/5 = 0.
-188
Factor 5*o**4/2 + 11*o**3 - 217*o**2/2 - 45*o.
o*(o - 5)*(o + 9)*(5*o + 2)/2
Find c such that -3*c**5/4 - 5*c**4/4 + 5*c**3/4 + 5*c**2/4 - c/2 = 0.
-2, -1, 0, 1/3, 1
Determine u so that 5*u**3 - 375*u**2 + 735*u - 365 = 0.
1, 73
Suppose -3*n**4 - 9*n**3 + 192*n**2 - 180*n = 0. What is n?
-10, 0, 1, 6
Factor 5*b**2 - 255*b + 1150.
5*(b - 46)*(b - 5)
Factor 2*m**4/7 - 110*m**3/7 + 604*m**2/7 - 112*m.
2*m*(m - 49)*(m - 4)*(m - 2)/7
Let 21*g**5/8 + 33*g**4/2 + 9*g**3/2 - 84*g**2 - 24*g = 0. Calculate g.
-4, -2/7, 0, 2
Suppose -2*o**4/3 + 7240*o**3/9 - 12052*o**2/9 + 2408*o/9 + 2410/9 = 0. Calculate o.
-1/3, 1, 1205
Find z, given that 5*z**3/3 - 85*z**2/3 - 100*z = 0.
-3, 0, 20
Let -11*i**5 - 7*i**4 + 290*i**3 - 368*i**2 + 96*i = 0. Calculate i.
-6, 0, 4/11, 1, 4
Factor a**2 - 1020*a + 260100.
(a - 510)**2
Factor -2*j**5/13 - 8*j**4/13 - 6*j**3/13.
-2*j**3*(j + 1)*(j + 3)/13
Suppose q**5 - 10*q**4 + 36*q**3 - 58*q**2 + 43*q - 12 = 0. What is q?
1, 3, 4
Solve -5*w**2 + 45*w - 70 = 0 for w.
2, 7
Solve -q**2/8 + 9*q/2 - 323/8 = 0.
17, 19
Factor -2*a**3/5 + 16*a**2/5 + 8*a.
-2*a*(a - 10)*(a + 2)/5
Solve 4*d**4 + 136*d**3 - 1216*d**2 - 2824*d - 1476 = 0 for d.
-41, -1, 9
Suppose 2*s**5 - 60*s**4 - 370*s**3 + 660*s**2 + 1448*s - 1680 = 0. Calculate s.
-6, -2, 1, 2, 35
Determine x, given that -3*x**2 + 462*x = 0.
0, 154
Factor -8*f**5 + 240*f**4 + 246*f**3 + 62*f**2.
-2*f**2*(f - 31)*(2*f + 1)**2
Factor 18*a**4 + 4*a**3 - 18*a**2 - 4*a.
2*a*(a - 1)*(a + 1)*(9*a + 2)
Factor -2*n**2/17 - 6*n/17.
-2*n*(n + 3)/17
Factor 3*m**4/7 + 3*m**3 + 6*m**2 + 24*m/7.
3*m*(m + 1)*(m + 2)*(m + 4)/7
Let -2*f**5 + 32*f**4/5 - 26*f**3/5 + 4*f**2/5 = 0. Calculate f.
0, 1/5, 1, 2
Find n such that -4*n**4 - 20*n**3 = 0.
-5, 0
Factor 8*q**3 - 122*q**2/3 + 106*q/3 - 8/3.
2*(q - 4)*(q - 1)*(12*q - 1)/3
Find j, given that -2*j**3/11 + 208*j**2/11 - 410*j/11 + 204/11 = 0.
1, 102
Suppose -2*i**3/11 + 310*i**2/11 - 28*i = 0. Calculate i.
0, 1, 154
Determine o so that 6*o**3/5 + 24*o**2/5 + 24*o/5 = 0.
-2, 0
Factor 4*z**5 - 4*z**4 - 32*z**3 + 48*z**2.
4*z**2*(z - 2)**2*(z + 3)
Let 4*r**5 + 4*r**4 - 52*r**3 - 4*r**2 + 48*r = 0. What is r?
-4, -1, 0, 1, 3
Find k such that 1083*k**4 - 2109*k**3 + 3879*k**2/4 + 111*k/2 + 3/4 = 0.
-1/38, 1
Let k**3/2 - 543*k**2 + 2169*k/2 - 542 = 0. Calculate k.
1, 1084
Factor 28*q**3 - 120*q**2 - 108*q + 40.
4*(q - 5)*(q + 1)*(7*q - 2)
Factor -4*h**4 - 52*h**3 + 180*h**2 - 188*h + 64.
-4*(h - 1)**3*(h + 16)
Factor -v**5/2 + 17*v**4/2 - 33*v**3 + 34*v**2 + 28*v - 48.
-(v - 12)*(v - 2)**3*(v + 1)/2
Determine q so that -1274*q**4 + 3962*q**3 + 1268*q**2 - 7040*q - 3072 = 0.
-1, -6/13, 16/7
Factor t**2 + 33*t - 190.
(t - 5)*(t + 38)
Factor -2*u**4 + 14*u**3 - 22*u**2 + 10*u.
-2*u*(u - 5)*(u - 1)**2
Determine y so that 3*y**5 - 15*y**4 + 24*y**3 - 12*y**2 = 0.
0, 1, 2
Factor -4*y**4 + 32*y**3 - 20*y**2 - 200*y.
-4*y*(y - 5)**2*(y + 2)
Factor 4*x**3 - 548*x**2 - 552*x.
4*x*(x - 138)*(x + 1)
Factor 2*g**2/5 - 90*g + 5112/5.
2*(g - 213)*(g - 12)/5
Suppose 2*x**5/3 - 356*x**4/9 + 118*x**3/9 = 0. What is x?
0, 1/3, 59
Determine d, given that -5*d**4 + 155*d**3 + 15*d**2 - 455*d - 310 = 0.
-1, 2, 31
Find g, given that -4*g**5 + 12*g**4 + 4*g**3 - 28*g**2 + 16 = 0.
-1, 1, 2
Factor -c**3/5 - 3*c**2 + 18*c/5 + 32/5.
-(c - 2)*(c + 1)*(c + 16)/5
Factor -3*w**3 + 39*w**2 - 153*w + 189.
-3*(w - 7)*(w - 3)**2
Suppose -5*r**3 - 1425*r**2 - 100815*r + 102245 = 0. What is r?
-143, 1
Find i, given that -2*i**4/5 + 74*i**3/5 - 858*i**2/5 + 2366*i/5 + 8788/5 = 0.
-2, 13
Suppose -2*h**5 + 2*h**3 = 0. What is h?
-1, 0, 1
Factor i**3/4 - 153*i**2/2 - 615*i/4 - 77.
(i - 308)*(i + 1)**2/4
Determine f so that f**4/7 + 25*f**3/7 + 47*f**2/7 + 23*f/7 = 0.
-23, -1, 0
What is l in -3*l**4/2 - 21*l**3 + 105*l**2/2 + 72*l = 0?
-16, -1, 0, 3
Let 5*x**2 - 11180*x + 6249620 = 0. Calculate x.
1118
Factor 3*s**5 + 39*s**4 - 15*s**3 - 999*s**2 + 972*s.
3*s*(s - 4)*(s - 1)*(s + 9)**2
Factor t**3/2 - 3683*t**2/2 + 3392963*t/2 - 3389281/2.
(t - 1841)**2*(t - 1)/2
Let -12*s**5 - 40*s**4 - 24*s**3 + 32*s**2 + 36*s + 8 = 0. Calculate s.
-2, -1, -1/3, 1
Factor -3*p**2/4 - 123*p/2 + 1305/4.
-3*(p - 5)*(p + 87)/4
Factor 4*o**3/5 - 5352*o**2/5 + 2386992*o/5 - 354866144/5.
4*(o - 446)**3/5
Solve 4*q**4 - 172*q**3 - 764*q**2 + 492*q + 3384 = 0 for q.
-3, 2, 47
Factor -4*r**4/7 + 156*r**3/7 - 444*r**2/7 + 436*r/7 - 144/7.
-4*(r - 36)*(r - 1)**3/7
Factor -5*z**2/3 - 55*z/3 + 130/3.
-5*(z - 2)*(z + 13)/3
Determine s so that -9*s**3 + 186*s**2 - 1165*s/4 + 475/4 = 0.
5/6, 19
Find m, given that 5*m**4 - 25*m**3 + 15*m**2 + 25*m - 20 = 0.
-1, 1, 4
Solve 3*c**5 - 50*c**4 + 158*c**3 - 204*c**2 + 119*c - 26 = 0.
2/3, 1, 13
Determine j so that 4*j**3/5 + 548*j**2/5 - 552*j/5 = 0.
-138, 0, 1
Factor 4*k**3/11 - 18*k**2/11 - 12*k/11 + 10/11.
2*(k - 5)*(k + 1)*(2*k - 1)/11
Determine g so that -338*g**5/5 + 3276*g**4/5 - 1754*g**3 + 3824*g**2/5 + 1848*g/5 + 32 = 0.
-2/13, 1, 4, 5
Let 45*i**5 + 75*i**4 - 85*i**3 - 155*i**2 + 40*i + 80 = 0. What is i?
-4/3, -1, 1
Factor -7*f**4 - 508*f**3 - 8846*f**2 + 13468*f - 4107.
-(f - 1)*(f + 37)**2*(7*f - 3)
Factor 162*s**2/7 + 166*s/7 + 4/7.
2*(s + 1)*(81*s + 2)/7
Factor 3*i**3/7 + 6*i**2/7 - 9*i/7.
3*i*(i - 1)*(i + 3)/7
Find j such that 3*j**5/4 + 3*j**4/2 - 9*j**3/4 = 0.
-3, 0, 1
Let 12*a**4 + 56*a**3 + 92*a**2 + 64*a + 16 = 0. What is a?
-2, -1, -2/3
Factor -2*x**2/3 - 60*x - 1350.
-2*(x + 45)**2/3
Factor -m**2 + 13*m - 30.
-(m - 10)*(m - 3)
Factor -55*q**2/3 + 395*q/3 - 70/3.
-5*(q - 7)*(11*q - 2)/3
Find b, given that -2*b**3/7 - 2*b**2/7 + 4*b/7 = 0.
-2, 0, 1
Solve 123*i**4/7 - 2085*i**3/7 + 5310*i**2/7 - 3180*i/7 - 24 = 0 for i.
-2/41, 1, 2, 14
Factor -s**4/6 - 5*s**3/3 - 4*s**2 - 11*s/3 - 7/6.
-(s + 1)**3*(s + 7)/6
Factor -a**2/2 + 799*a/2 - 797.
-(a - 797)*(a - 2)/2
Let -5*y**3 + 1185*y**2 = 0. Calculate y.
0, 237
Factor v**5 - 119