ven that -12*i**5/5 + 117*i**4/5 - 333*i**3/5 + 177*i**2/5 + 369*i/5 - 54 = 0.
-1, 3/4, 2, 3, 5
Factor g**3/8 + 19*g**2/8 + 63*g/8 + 45/8.
(g + 1)*(g + 3)*(g + 15)/8
Find r, given that -r**2/4 + 1573*r/4 - 1571/2 = 0.
2, 1571
Factor -g**4/7 + 4*g**3 + 123*g**2/7 + 158*g/7 + 64/7.
-(g - 32)*(g + 1)**2*(g + 2)/7
Suppose i**2/8 - 259*i/2 + 1035/8 = 0. What is i?
1, 1035
What is p in -2*p**2/9 + 386*p/9 + 388/9 = 0?
-1, 194
Factor 4*f**4/9 + 56*f**3/9 + 140*f**2/9 + 88*f/9.
4*f*(f + 1)*(f + 2)*(f + 11)/9
Let 12*f**5 + 123*f**4 + 426*f**3 + 531*f**2 + 108*f = 0. What is f?
-4, -3, -1/4, 0
Factor -a**4/3 - 64*a**3/3 - 62*a**2/3 + 64*a/3 + 21.
-(a - 1)*(a + 1)**2*(a + 63)/3
Factor -8*k**4 + 10*k**3 + 12*k**2.
-2*k**2*(k - 2)*(4*k + 3)
Solve 4*z**2 + 252*z - 256 = 0 for z.
-64, 1
Find w such that -7*w**3 + 579*w**2 + 1356*w + 340 = 0.
-2, -2/7, 85
Solve 5*o**4 + 5*o**3 - 35*o**2 - 65*o - 30 = 0 for o.
-2, -1, 3
Find b such that -6*b**4/23 - 514*b**3/23 - 334*b**2/23 + 514*b/23 + 340/23 = 0.
-85, -1, -2/3, 1
Determine r, given that 5*r**5 - 101*r**4/2 + 46*r**3 + 37*r**2 - 51*r + 27/2 = 0.
-1, 1/2, 3/5, 1, 9
Solve y**3/5 - 7*y**2/5 - 8*y/5 = 0.
-1, 0, 8
Factor -14*j**3 + 62*j**2 - 80*j + 24.
-2*(j - 2)**2*(7*j - 3)
Find j, given that -j**4 - 106*j**3 - 4176*j**2 - 72326*j - 463391 = 0.
-29, -19
Determine w, given that -16*w**3/9 + 10*w**2/3 - 4*w/3 - 2/9 = 0.
-1/8, 1
Suppose -2*h**5/5 - 88*h**4/15 - 248*h**3/15 + 128*h**2/3 + 512*h/15 = 0. What is h?
-8, -2/3, 0, 2
Factor 8*c**2/5 - 33*c/5 - 18.
(c - 6)*(8*c + 15)/5
Determine w, given that -w**2/8 - 85*w/8 - 123/4 = 0.
-82, -3
Let -2*y**4/21 + 74*y**3/21 - 240*y**2/7 + 216*y/7 = 0. Calculate y.
0, 1, 18
Solve -2*b**5/7 - 36*b**4/7 - 194*b**3/7 - 288*b**2/7 - 128*b/7 = 0 for b.
-8, -1, 0
Suppose 6*u**3 + 334*u**2 - 454*u + 114 = 0. What is u?
-57, 1/3, 1
What is u in -u**5 - 18*u**4 - 61*u**3 + 180*u**2 - 100*u = 0?
-10, 0, 1
Find z, given that 2*z**2/5 - 46*z/5 + 44/5 = 0.
1, 22
Factor t**2/4 - t/4 - 5.
(t - 5)*(t + 4)/4
Solve -2*i**2 + 478*i - 948 = 0.
2, 237
Factor 18*z**4 - 120*z**3 + 74*z**2 - 12*z.
2*z*(z - 6)*(3*z - 1)**2
Let -4*f**4/5 + 236*f**3/5 - 3028*f**2/5 - 15996*f/5 + 69192/5 = 0. What is f?
-6, 3, 31
Let -5*i**2 - 285*i + 1550 = 0. Calculate i.
-62, 5
Factor 2*y**2/5 + 686*y/5 + 684/5.
2*(y + 1)*(y + 342)/5
Suppose -5*t**2 + 140*t - 260 = 0. What is t?
2, 26
Factor 5*p**5 + 5*p**4 - 30*p**3 - 20*p**2 + 40*p.
5*p*(p - 2)*(p - 1)*(p + 2)**2
Factor r**3 + 396*r**2 + 1949*r - 2346.
(r - 1)*(r + 6)*(r + 391)
Determine g so that g**3/4 + 5*g**2/2 + 29*g/4 + 5 = 0.
-5, -4, -1
Let -3*i**3 - 258*i**2 - 996*i - 984 = 0. What is i?
-82, -2
Factor -3*s**3/7.
-3*s**3/7
What is g in 5*g**4/8 + 4*g**3 + 57*g**2/8 + 9*g/4 = 0?
-3, -2/5, 0
Factor 2*n**2/11 + 6*n/11.
2*n*(n + 3)/11
Determine v, given that -v**4/4 - 12*v**3 - 621*v**2/4 - 1215*v/2 = 0.
-30, -9, 0
Let 98315*b**4 + 161120*b**3 - 68760*b**2 + 4480*b - 80 = 0. Calculate b.
-2, 2/53, 2/7
Factor 2*z**2/15 - 26584*z/15 + 88338632/15.
2*(z - 6646)**2/15
Let 25*u**4 + 855*u**3 + 154*u**2 - 540*u + 136 = 0. What is u?
-34, -1, 2/5
Suppose -f**3/3 - 10*f**2/3 - 16*f/3 = 0. Calculate f.
-8, -2, 0
Find h such that 3*h**5 + 33*h**4 - 324*h**3 + 912*h**2 - 1056*h + 432 = 0.
-18, 1, 2
Suppose 4*b**5 + 4*b**4 - 40*b**3 - 40*b**2 + 36*b + 36 = 0. Calculate b.
-3, -1, 1, 3
Suppose 5*f**2 + 1665*f + 4950 = 0. What is f?
-330, -3
Factor 3*m**2/4 - 21*m - 45.
3*(m - 30)*(m + 2)/4
Solve -3*b**4/8 + 3*b**3/8 + 3*b**2/8 - 3*b/8 = 0 for b.
-1, 0, 1
Factor 555025*b**2/3 - 2980*b/3 + 4/3.
(745*b - 2)**2/3
Solve -2*r**2/5 - 4*r - 18/5 = 0.
-9, -1
Factor i**5/3 - 7*i**4/3 + 6*i**3 - 20*i**2/3 + 8*i/3.
i*(i - 2)**3*(i - 1)/3
Factor 25*o**4/11 + 20*o**3/11 - 156*o**2/11 - 64*o/11 + 256/11.
(o + 2)**2*(5*o - 8)**2/11
Find b, given that 35*b**4 - 710*b**3 + 200*b**2 = 0.
0, 2/7, 20
Find c, given that 5*c**3/3 + 20*c**2/3 - 35*c/3 - 50/3 = 0.
-5, -1, 2
Determine v so that 2*v**4 + 16*v**3/3 + 2*v**2 - 4*v/3 = 0.
-2, -1, 0, 1/3
Find c, given that 18*c**4 + 778*c**3 + 928*c**2 + 168*c = 0.
-42, -1, -2/9, 0
Let 2*h**4/5 - 22*h**3/15 - 118*h**2/15 - 146*h/15 - 56/15 = 0. Calculate h.
-4/3, -1, 7
Suppose 6*f**2 + 87*f/2 + 21/2 = 0. What is f?
-7, -1/4
Factor 2*v**3/3 + 26*v**2/3 + 32*v + 24.
2*(v + 1)*(v + 6)**2/3
Find v such that -4*v**4 - 92*v**3 + 300*v**2 - 308*v + 104 = 0.
-26, 1
Factor 100*c**4 + 1180*c**3 - 1524*c**2 + 468*c.
4*c*(c + 13)*(5*c - 3)**2
Suppose -c**4/3 + 5*c**3/6 + 2*c**2/3 - c/2 = 0. Calculate c.
-1, 0, 1/2, 3
Let 3*q**3 - 12*q**2 - 63*q = 0. Calculate q.
-3, 0, 7
Determine g, given that -268324*g**3/11 + 269360*g**2/11 - 1037*g/11 + 1/11 = 0.
1/518, 1
Determine r so that 16*r**4/3 - 344*r**3/3 + 643*r**2 - 901*r/3 + 110/3 = 0.
1/4, 10, 11
Factor w**3 + 206*w**2 + 611*w + 406.
(w + 1)*(w + 2)*(w + 203)
Suppose b**4/6 - 10*b**3 - 41*b**2/2 - 31*b/3 = 0. Calculate b.
-1, 0, 62
Factor k**4/4 + 27*k**3/4 - 7*k**2.
k**2*(k - 1)*(k + 28)/4
What is w in 4*w**3 + 80*w**2 + 76*w = 0?
-19, -1, 0
Find a such that a**3/9 - 975*a**2 + 2851875*a - 2780578125 = 0.
2925
Factor 8*v**3/9 - 106*v**2/9 + 26*v/9.
2*v*(v - 13)*(4*v - 1)/9
Determine a so that -5*a**5/3 + 225*a**4 - 7920*a**3 + 65320*a**2/3 + 880*a - 29040 = 0.
-1, 2, 66
Factor 49*o**4/4 + 42*o**3 - 27*o**2 + 4*o.
o*(o + 4)*(7*o - 2)**2/4
Find r, given that 4*r**4 + 1504*r**3 + 212064*r**2 + 13289344*r + 312299584 = 0.
-94
Suppose -f**3 + 27*f**2 + 345*f + 925 = 0. What is f?
-5, 37
Factor -x**4/9 + 2*x**3 - 9*x**2.
-x**2*(x - 9)**2/9
Solve 6*a**4 + 184*a**3/5 - 6*a**2/5 - 184*a/5 - 24/5 = 0.
-6, -1, -2/15, 1
Factor -3*s**2 - 480*s - 948.
-3*(s + 2)*(s + 158)
Let -5*g**5 + 10*g**4 + 390*g**3 + 1060*g**2 + 1015*g + 330 = 0. What is g?
-6, -1, 11
Factor -2*f**3/5 + 18*f**2 + 386*f/5 + 294/5.
-2*(f - 49)*(f + 1)*(f + 3)/5
Factor -x**4/3 + x**3 - x**2/3 - x + 2/3.
-(x - 2)*(x - 1)**2*(x + 1)/3
Determine r so that 3*r**2/2 - 24*r - 51/2 = 0.
-1, 17
Determine q so that 3*q**3/7 + 24*q**2 + 336*q = 0.
-28, 0
What is g in 2*g**4/3 - 5*g**3/6 - 26*g**2/3 + 17*g/6 + 10 = 0?
-3, -1, 5/4, 4
Let 36*q**4/7 - 125*q**3/7 + 125*q**2/7 - 40*q/7 + 4/7 = 0. Calculate q.
2/9, 1/4, 1, 2
Determine c so that -5*c**2 + 990*c - 985 = 0.
1, 197
Factor n**4/4 + n**3/4 - n**2/4 - n/4.
n*(n - 1)*(n + 1)**2/4
Find y such that -4*y**3/3 + 16*y**2/3 + 20*y - 24 = 0.
-3, 1, 6
Factor -3*u**3/5 - 12*u**2/5 + 36*u/5.
-3*u*(u - 2)*(u + 6)/5
Determine y, given that -4*y**3 - 8*y**2 + 20*y + 24 = 0.
-3, -1, 2
Suppose 4*c**4 + 44*c**3 - 47*c**2 + 12*c = 0. Calculate c.
-12, 0, 1/2
Let 2*g**2/11 + 92*g/11 + 1058/11 = 0. Calculate g.
-23
Factor -2*t**3/11 + 140*t**2/11 - 2626*t/11 + 1352.
-2*(t - 44)*(t - 13)**2/11
Factor -3*g**2/4 - 111*g/4 - 99.
-3*(g + 4)*(g + 33)/4
Determine y so that -45*y**4 - 24*y**3 + 42*y**2 + 24*y + 3 = 0.
-1, -1/3, -1/5, 1
Factor i**2 + 434*i - 3087.
(i - 7)*(i + 441)
Determine u so that -2*u**4 + 30*u**3 - 168*u**2 + 416*u - 384 = 0.
3, 4
Factor -12*y**4 + 128*y**3 - 244*y**2 - 96*y.
-4*y*(y - 8)*(y - 3)*(3*y + 1)
Factor 3*k**4/7 + 4*k**3/7 - 4*k**2/7.
k**2*(k + 2)*(3*k - 2)/7
Factor 2*z**2 - 516*z - 518.
2*(z - 259)*(z + 1)
Find j, given that -4*j**5/5 - 52*j**4/5 + 188*j**3/5 - 76*j**2/5 - 184*j/5 + 128/5 = 0.
-16, -1, 1, 2
Determine s, given that 4*s**5/7 - 20*s**3/7 + 16*s/7 = 0.
-2, -1, 0, 1, 2
Find r, given that 5*r**2 - 950*r + 945 = 0.
1, 189
Solve -f**4/4 - 2*f**3 + 33*f**2/4 = 0 for f.
-11, 0, 3
Determine z, given that -3*z**5/4 - 51*z**4/2 - 321*z**3/2 + 942*z**2 - 5187*z/4 + 1083/2 = 0.
-19, 1, 2
Determine z, given that -3*z**3/4 - 6*z**2 - 21*z/4 = 0.
-7, -1, 0
What is d in 2*d**5/5 + 6*d**4/5 - 12*d**3/5 - 52*d**2/5 - 54*d/5 - 18/5 = 0?
-3, -1, 3
Factor 4*l**3 - 20*l**2 - 3332*l + 3348.
4*(l - 31)*(l - 1)*(l + 27)
Let -3*g**2 - 111*g + 2970 = 0. Calculate g.
-55, 18
Factor k**2/5 - 36*k/5 - 637/5.
(k - 49)*(k + 13)/5
Let 200*y**5 - 290*y**4 - 1205*y**3 + 620*y**2 + 585*y + 90 = 0. What is y?
-2, -3/10, -1/4, 1, 3
Suppose -5*a**5 + 170*a**4 - 1350*a**3 - 1700*a**2 + 1355*a + 1530 = 0. What is a?
-1, 1, 17, 18
Let -q**5/6 - q**4/6 + 5*q**3/6 + 5*q**2/6 - 2*q/3 - 2/3 = 0. Calculate q.
-2, -1, 1, 2
Factor 5*n**2 - 825*n.
5*n*(n - 165)
Factor 4*s**4/9 - 124*s**3/9 + 116*s**2/3 - 340*s/9 + 112/9.
4*(s - 28)*(s - 1