**4/5 + 144*k**3/5 - 166*k**2/5 + 36*k/5 = 0.
0, 2/7, 1, 9
Solve -2*x**5/11 + 14*x**4/11 - 20*x**3/11 - 4*x**2/11 + 2*x - 10/11 = 0.
-1, 1, 5
Solve -4*x**3 + 188*x**2 - 2412*x + 9396 = 0.
9, 29
Solve 16*y**3 - 30*y**2 + 14*y = 0.
0, 7/8, 1
Factor 6*i**3 - 183*i**2 + 87*i + 90.
3*(i - 30)*(i - 1)*(2*i + 1)
Find y such that 2*y**4 - 8*y**3 - 20*y**2 + 56*y - 30 = 0.
-3, 1, 5
Find x such that -3*x**3 - 66*x**2 - 111*x + 180 = 0.
-20, -3, 1
Let 5*j**5/6 - 340*j**4/3 + 3965*j**3 - 22780*j**2/3 + 22445*j/6 = 0. What is j?
0, 1, 67
Suppose -3*c**3 - 16*c**2 - 3*c + 10 = 0. What is c?
-5, -1, 2/3
Factor -4*s**2 + 12*s + 72.
-4*(s - 6)*(s + 3)
Let -i**2/5 - 36*i/5 - 324/5 = 0. Calculate i.
-18
Factor -r**5 + 328*r**4 - 1302*r**3 + 1948*r**2 - 1297*r + 324.
-(r - 324)*(r - 1)**4
Factor -f**5/8 - 3*f**4/8 + 9*f**3/8 - 5*f**2/8.
-f**2*(f - 1)**2*(f + 5)/8
Find a, given that -a**4/6 - 40*a**3/3 - 253*a**2 + 1640*a/3 - 1681/6 = 0.
-41, 1
Find q such that q**3/3 - 4*q**2/3 - 4*q = 0.
-2, 0, 6
Determine w so that -15*w**4/4 - 76*w**3 - 394*w**2 - 80*w + 100 = 0.
-10, -2/3, 2/5
Factor 2*u**2/13 + 17800*u/13 + 39605000/13.
2*(u + 4450)**2/13
Solve 5*m**2 + 5670*m + 1607445 = 0 for m.
-567
Determine a so that 4*a**3/7 + 44*a**2/7 + 96*a/7 = 0.
-8, -3, 0
Factor 5*j**2 + 12350*j + 7626125.
5*(j + 1235)**2
Factor 51529*t**2/2 - 1135*t/2 + 25/8.
(454*t - 5)**2/8
Let 4*f**3 + 7*f**2 - 62*f + 15 = 0. What is f?
-5, 1/4, 3
Solve -3*b**3/5 + 66*b**2/5 + 15*b - 138/5 = 0 for b.
-2, 1, 23
Solve 14*c**2/11 + 200*c/11 = 0 for c.
-100/7, 0
Factor 4*v**3 - 184*v**2 + 2116*v.
4*v*(v - 23)**2
Let v**4 + 2*v**3 - 4*v**2 - 8*v = 0. What is v?
-2, 0, 2
Let -c**4/4 + 3*c**2/4 + c/2 = 0. What is c?
-1, 0, 2
Determine w, given that 9*w**4 - 15*w**3 + 3*w**2 + 3*w = 0.
-1/3, 0, 1
Suppose 16*z**2 + 7796*z + 1948 = 0. Calculate z.
-487, -1/4
Factor 3*s**3 + 15*s**2 + 24*s + 12.
3*(s + 1)*(s + 2)**2
Suppose 2*d**3/23 + 56*d**2/23 + 50*d/23 - 108/23 = 0. Calculate d.
-27, -2, 1
What is p in 48*p**5/5 - 876*p**4 + 134982*p**3/5 - 291276*p**2 + 314280*p + 97200 = 0?
-1/4, 3/2, 30
Solve -2*z**3 - 36*z**2 + 230*z = 0.
-23, 0, 5
Determine f so that -2*f**4/3 + 50*f**3/9 - 88*f**2/9 + 8*f/3 = 0.
0, 1/3, 2, 6
Let -4*g**4 - 4*g**3 + 12*g**2 + 4*g - 8 = 0. Calculate g.
-2, -1, 1
Factor 3*y**2/5 + 558*y/5 + 25947/5.
3*(y + 93)**2/5
Solve -c**3/5 + 22*c**2/5 - 67*c/5 - 18 = 0.
-1, 5, 18
Find b such that 4*b**4/7 - 164*b**3/7 - 340*b**2/7 - 172*b/7 = 0.
-1, 0, 43
Suppose 2*a**2 + 44*a + 144 = 0. Calculate a.
-18, -4
Factor 4*j**4/5 + 196*j**3/5 - 3132*j**2/5 - 57188*j - 3707128/5.
4*(j - 38)*(j + 29)**3/5
Factor l**2 + 780*l + 152100.
(l + 390)**2
Factor -14*q**3/15 + 2*q**2/15 + 4*q.
-2*q*(q + 2)*(7*q - 15)/15
Factor 832*d**2/3 - 200*d/3 - 2/3.
2*(4*d - 1)*(104*d + 1)/3
Suppose 5*a**3 - 15*a + 10 = 0. Calculate a.
-2, 1
Factor -3*h**3 + 30*h**2 + 3*h - 30.
-3*(h - 10)*(h - 1)*(h + 1)
Factor -o**3/6 - 6*o**2 + 90*o + 3600.
-(o - 24)*(o + 30)**2/6
Find h such that -h**3/4 + 10*h**2 - 253*h/4 - 1587/2 = 0.
-6, 23
Factor -5*z**3 - 30*z**2 - 15*z + 50.
-5*(z - 1)*(z + 2)*(z + 5)
Factor -2*q**2/3 + 26*q/3 + 28/3.
-2*(q - 14)*(q + 1)/3
What is p in -13*p**3/2 - 6*p**2 + 15*p/2 + 7 = 0?
-1, 14/13
Factor 6*n**4 - 14*n**3 - 20*n**2 + 56*n - 16.
2*(n - 2)**2*(n + 2)*(3*n - 1)
Solve -2*v**4/7 - 54*v**3/7 + 6*v**2/7 + 166*v/7 + 108/7 = 0.
-27, -1, 2
Suppose 3*d**5 + 51*d**4 + 189*d**3 + 81*d**2 - 324*d = 0. Calculate d.
-12, -3, 0, 1
What is k in -4*k**4 - 60*k**3 = 0?
-15, 0
Determine t, given that 3*t**5/2 + 27*t**4/2 + 15*t**3/2 - 75*t**2/2 - 9*t + 24 = 0.
-8, -2, -1, 1
Factor 2*d**3 - 1548*d**2 - 3102*d - 1552.
2*(d - 776)*(d + 1)**2
Determine g, given that g**2/6 + 27*g/2 + 79/3 = 0.
-79, -2
Solve -4*y**3 - 62*y**2 - 134*y - 52 = 0 for y.
-13, -2, -1/2
What is u in -2*u**2/7 + 34*u/7 - 32/7 = 0?
1, 16
Find p, given that 5*p**3 + 370*p**2 - 760*p = 0.
-76, 0, 2
Factor -2*t**4/5 + 2*t**3/5 + 16*t**2/5 - 24*t/5.
-2*t*(t - 2)**2*(t + 3)/5
Solve j**2 + 549*j - 1102 = 0 for j.
-551, 2
Find j such that j**5/4 - j**4/2 + j**3/4 = 0.
0, 1
Factor c**3/4 + 229*c**2/4 - 115*c/2.
c*(c - 1)*(c + 230)/4
What is l in 2*l**4/17 - 18*l**3/17 + 60*l**2/17 - 88*l/17 + 48/17 = 0?
2, 3
Factor i**5/7 - 768*i**4/7 - 769*i**3/7.
i**3*(i - 769)*(i + 1)/7
Factor 3*x**2 - 3264*x + 887808.
3*(x - 544)**2
Solve -n**2/6 + 19*n/6 + 7 = 0.
-2, 21
Solve -t**5/2 - 8*t**4/3 + 35*t**3/2 + 23*t**2/3 - 12*t = 0.
-9, -1, 0, 2/3, 4
Suppose 3*o**2/7 - 36*o/7 + 33/7 = 0. Calculate o.
1, 11
Solve 3*v**2/4 + 1161*v/4 = 0 for v.
-387, 0
Determine k so that -2*k**2/7 + 1464*k/7 - 267912/7 = 0.
366
Find b, given that -2*b**2/5 - 631*b/5 - 63 = 0.
-315, -1/2
Factor -2*r**2/3 - 176*r/3 - 224.
-2*(r + 4)*(r + 84)/3
Factor 5*h**2 + 30*h + 25.
5*(h + 1)*(h + 5)
Factor -2*d**3/17 - 72*d**2/17 - 138*d/17 - 4.
-2*(d + 1)**2*(d + 34)/17
Find x such that 4*x**3/9 + 32*x**2/9 - 4*x = 0.
-9, 0, 1
Find b such that 2*b**3/3 + 44*b**2/3 + 74*b/3 - 40 = 0.
-20, -3, 1
Suppose -8*q**2/7 - 52*q/7 - 72/7 = 0. Calculate q.
-9/2, -2
Factor 5*s**3/3 - 64*s**2 + 87*s - 74/3.
(s - 37)*(s - 1)*(5*s - 2)/3
Determine m so that 5*m**4 - 60*m**3 + 45*m**2 + 110*m = 0.
-1, 0, 2, 11
What is b in 75*b**5 + 180*b**4 + 138*b**3 + 36*b**2 + 3*b = 0?
-1, -1/5, 0
Factor 69*c**3 + 129*c**2 - 18*c.
3*c*(c + 2)*(23*c - 3)
What is f in -2*f**4/13 + 16*f**3/13 + 38*f**2/13 + 20*f/13 = 0?
-1, 0, 10
Factor -2*s**5/7 - 34*s**4/7 - 80*s**3/7 + 600*s**2/7.
-2*s**2*(s - 3)*(s + 10)**2/7
Factor -3*j**4 + 6*j**3 + 81*j**2 - 324.
-3*(j - 6)*(j - 2)*(j + 3)**2
Solve 4*a**2 + 1240*a + 96100 = 0.
-155
Solve 3*v**2 - 78*v + 144 = 0.
2, 24
Solve -s**3 - 17*s**2 - 47*s + 65 = 0.
-13, -5, 1
Suppose 5*s**2 + 90*s = 0. What is s?
-18, 0
Factor -o**3/6 - 169*o**2/6 - 1204*o - 1176.
-(o + 1)*(o + 84)**2/6
Solve -12*a**4 - 68*a**3 - 112*a**2 - 48*a = 0.
-3, -2, -2/3, 0
Solve -2*s**4/9 + 46*s**3/9 - 292*s**2/9 + 584*s/9 - 112/3 = 0 for s.
1, 2, 6, 14
Factor -2*a**4/11 - 864*a**3/11 + 5238*a**2/11 - 7884*a/11.
-2*a*(a - 3)**2*(a + 438)/11
Solve -5*u**4/2 - 23*u**3/2 - 27*u**2/2 - 9*u/2 = 0 for u.
-3, -1, -3/5, 0
Solve 4*r**2 + 5432*r + 5428 = 0.
-1357, -1
Factor 5*i**5 - 1255*i**4 + 78120*i**3 + 79380*i**2.
5*i**2*(i - 126)**2*(i + 1)
Factor -5*b**4 - 120*b**3 - 785*b**2 - 330*b + 4840.
-5*(b - 2)*(b + 4)*(b + 11)**2
Factor -8*z**2/9 - 28*z/9.
-4*z*(2*z + 7)/9
Factor 122*w**2/5 + 48*w - 8/5.
2*(w + 2)*(61*w - 2)/5
Let 8*w**4/15 + 14*w**3/15 + 4*w**2/15 - 2*w/15 = 0. Calculate w.
-1, 0, 1/4
Factor -x**3/5 - 12*x**2/5 - 9*x/5 + 22/5.
-(x - 1)*(x + 2)*(x + 11)/5
Suppose -5*l**5/2 + 23*l**4/4 + 5*l**3/2 - 29*l**2/4 - 3*l/2 = 0. What is l?
-1, -1/5, 0, 3/2, 2
Factor -2048*x**3 - 16448*x**2 - 1025*x/2 - 4.
-(x + 8)*(64*x + 1)**2/2
Factor 4*z**3 - 12*z**2 - 4*z + 12.
4*(z - 3)*(z - 1)*(z + 1)
Suppose -10*d**4 + 6*d**3 + 54*d**2 + 50*d + 12 = 0. Calculate d.
-1, -2/5, 3
Find q such that q**4/7 + 6*q**3/7 + 13*q**2/7 + 12*q/7 + 4/7 = 0.
-2, -1
What is t in 115*t**4 - 2520*t**3 - 5625*t**2 - 3230*t - 240 = 0?
-1, -2/23, 24
Factor -2*c**2 + 2060*c + 4128.
-2*(c - 1032)*(c + 2)
Determine x so that 2*x**4 - 20*x**3 + 24*x**2 + 80*x - 128 = 0.
-2, 2, 8
Factor -5*n**4 - 190*n**3 - 1980*n**2 - 3240*n.
-5*n*(n + 2)*(n + 18)**2
Solve -3*q**2/4 - 21*q + 1599/4 = 0.
-41, 13
Factor 25*t**5/4 - 105*t**4/4 + 87*t**3/2 - 71*t**2/2 + 57*t/4 - 9/4.
(t - 1)**3*(5*t - 3)**2/4
Suppose 2*a**3 + 140*a**2 + 402*a = 0. What is a?
-67, -3, 0
What is m in -3*m**3 + 24*m**2 + 57*m + 30 = 0?
-1, 10
Factor -a**3/7 - 11*a**2/7 + 45*a/7 + 81.
-(a - 7)*(a + 9)**2/7
Find v such that -4*v**3/5 - 144*v**2/5 - 972*v/5 = 0.
-27, -9, 0
Factor 2*h**2/3 + 4880*h/3 + 2976800/3.
2*(h + 1220)**2/3
Factor c**3 - 30*c**2 + 108*c - 104.
(c - 26)*(c - 2)**2
Let -2*f**3 + 376*f**2/5 - 218*f/5 - 148/5 = 0. Calculate f.
-2/5, 1, 37
Factor -2*y**2 + 326*y - 3060.
-2*(y - 153)*(y - 10)
Let 2*y**2/7 + 8*y - 58/7 = 0. Calculate y.
-29, 1
Suppose k**2/6 + 29*k/6 + 20 = 0. What is k?
-24, -5
Let 5*v**3 - 45*v**2 + 135*v - 135 = 0. Calculate v.
3
Factor -3*u**2/7 - 276*u/7 + 279/7.
-3*(u - 1)*(u + 93)/7
Factor -5*l**5 - 60*l**4 - 230*l**3 - 300*l**2 - 125*l.
-5*l*(l + 1)**2*(l + 5)**2
Factor 2*i**3/5 - 16*i**2/5 - 24*i/5 + 288/5.
2*(i - 6)**2*(i + 4)/5
Let -2*h**2 + 2504*h = 0. 