actor h**2/6 + 19*h/6 + 3.
(h + 1)*(h + 18)/6
Suppose -2*t**5/7 + 6*t**4/7 + 10*t**3/7 - 6*t**2/7 - 8*t/7 = 0. Calculate t.
-1, 0, 1, 4
What is c in -5*c**2 + 5360*c = 0?
0, 1072
Find b, given that b**5/7 + 19*b**4/7 - 9*b**3 + 65*b**2/7 - 22*b/7 = 0.
-22, 0, 1
Factor n**4/2 - 43*n**3/2 - 3*n**2/2 + 131*n/2 - 43.
(n - 43)*(n - 1)**2*(n + 2)/2
Find v such that v**5 + 26*v**4 - 147*v**3 + 244*v**2 - 124*v = 0.
-31, 0, 1, 2
Solve 2*a**3/15 - 88*a**2/5 + 598*a - 3380/3 = 0.
2, 65
Factor -g**3 - 7*g**2 - 6*g.
-g*(g + 1)*(g + 6)
Determine l, given that l**2/2 - 47*l/2 + 23 = 0.
1, 46
Factor -2*c**5 + 78*c**4 - 720*c**3 - 800*c**2.
-2*c**2*(c - 20)**2*(c + 1)
Find m, given that -2*m**2/11 + 240*m/11 - 238/11 = 0.
1, 119
Let -4*y**4/7 - 32*y**3/7 - 8*y**2 + 32*y/7 + 60/7 = 0. Calculate y.
-5, -3, -1, 1
Factor -d**3/2 + 316*d**2 - 100485*d/2 + 99225.
-(d - 315)**2*(d - 2)/2
Suppose -15*h**3 + 95*h**2 + 210*h - 80 = 0. What is h?
-2, 1/3, 8
Find h, given that -2*h**4 + 58*h**3 = 0.
0, 29
Determine s so that -5*s**2/4 + 3810*s - 2903220 = 0.
1524
Let -15*v**5 + 20*v**4 + 100*v**3 - 230*v**2 + 155*v - 30 = 0. What is v?
-3, 1/3, 1, 2
What is j in -j**5 + 29*j**4 - 105*j**3 + 127*j**2 - 50*j = 0?
0, 1, 2, 25
Factor 3*w**2/4 - 39*w/4 + 33/2.
3*(w - 11)*(w - 2)/4
Determine k so that 4*k**4 - 624*k**3 + 23056*k**2 + 99840*k + 102400 = 0.
-2, 80
Determine p, given that -p**4 + p**3 + 6*p**2 - 4*p - 8 = 0.
-2, -1, 2
Solve 38*y**4 + 80*y**3 - 144*y**2 - 320*y - 32 = 0 for y.
-2, -2/19, 2
Solve -5*g**4 - 110*g**3 + 915*g**2 + 16720*g - 115520 = 0 for g.
-19, 8
Factor -q**5 - 9*q**4 - 28*q**3 - 36*q**2 - 16*q.
-q*(q + 1)*(q + 2)**2*(q + 4)
Factor 4*f**5 - 16*f**4 + 8*f**3 + 16*f**2 - 12*f.
4*f*(f - 3)*(f - 1)**2*(f + 1)
Factor -2*r**4/9 + 2984*r**3/9.
-2*r**3*(r - 1492)/9
Suppose -6*f**4/7 + 208*f**3/7 - 880*f**2/7 + 1216*f/7 - 480/7 = 0. Calculate f.
2/3, 2, 30
Solve 30*s**3 + 124*s**2 + 16*s = 0.
-4, -2/15, 0
Factor -3*j**5/2 + 27*j**4/2 - 9*j**3/2 - 219*j**2/2 - 144*j - 54.
-3*(j - 6)**2*(j + 1)**3/2
Solve 4*x**5 - 16*x**4 - 44*x**3 - 24*x**2 = 0 for x.
-1, 0, 6
Factor -p**2/3 + 755*p/3 - 754/3.
-(p - 754)*(p - 1)/3
Let -y**5/5 - 6*y**4/5 - 7*y**3/5 + 18*y**2/5 + 44*y/5 + 24/5 = 0. Calculate y.
-3, -2, -1, 2
Factor -2*t**3/21 + 88*t**2/21 + 376*t/21 + 128/7.
-2*(t - 48)*(t + 2)**2/21
Solve q**5/2 - q**4 - 19*q**3/2 + 34*q**2 - 30*q = 0.
-5, 0, 2, 3
Find c such that -c**2/6 + 11*c/6 - 14/3 = 0.
4, 7
Find a, given that a**2 + 1164*a + 338724 = 0.
-582
Factor v**4/2 - 26*v**3 - 229*v**2/2 + 140*v.
v*(v - 56)*(v - 1)*(v + 5)/2
Factor -m**3/3 + 5*m**2/3 + 22*m/3 + 16/3.
-(m - 8)*(m + 1)*(m + 2)/3
Factor -b**4/7 - 20*b**3/7 + 291*b**2/7 - 270*b/7.
-b*(b - 9)*(b - 1)*(b + 30)/7
Find g such that -2*g**3/9 - 82*g**2/9 + 2*g/9 + 82/9 = 0.
-41, -1, 1
Factor -2*z**2/19 + 104*z/19 - 1352/19.
-2*(z - 26)**2/19
Factor g**2/4 + 1881*g/4 - 941/2.
(g - 1)*(g + 1882)/4
Let -3*l**4 + 17*l**3 + 807*l**2 + 1047*l + 260 = 0. What is l?
-13, -1, -1/3, 20
Find z such that -2*z**5 - 14*z**4 + 2*z**3 + 14*z**2 = 0.
-7, -1, 0, 1
Factor 3*y**2 + 372*y + 1089.
3*(y + 3)*(y + 121)
Factor -3*n**3 - 84*n**2.
-3*n**2*(n + 28)
What is u in -2*u**5 + 14*u**3 - 4*u**2 - 24*u + 16 = 0?
-2, 1, 2
What is c in -2*c**2 + 318*c + 320 = 0?
-1, 160
Find r such that 2*r**4/9 - 14*r**3/9 + 4*r**2/3 = 0.
0, 1, 6
Find u such that -u**2 + 2628*u + 2629 = 0.
-1, 2629
Factor 3*r**2/2 - 9*r/2 - 42.
3*(r - 7)*(r + 4)/2
Factor 4*m**2 + 592*m + 21904.
4*(m + 74)**2
Let -v**4/3 + 8*v**3 - 39*v**2 - 338*v/3 = 0. What is v?
-2, 0, 13
Suppose 3*v**5 + 8*v**4 + 3*v**3 - 2*v**2 = 0. What is v?
-2, -1, 0, 1/3
Factor -x**2 + 48*x + 49.
-(x - 49)*(x + 1)
Factor -z**2 - 17*z + 60.
-(z - 3)*(z + 20)
What is d in 4*d**3 + 128*d**2 + 944*d + 1408 = 0?
-22, -8, -2
Let -v**3/6 - 2*v**2 - 8*v - 32/3 = 0. What is v?
-4
Factor 3*s**2/2 + 45*s.
3*s*(s + 30)/2
Find a such that a**4 + 6*a**3 + 9*a**2 = 0.
-3, 0
Factor 3*m**2/2 - 150*m - 624.
3*(m - 104)*(m + 4)/2
Solve r**5/2 + 17*r**4/2 + 57*r**3/2 + 67*r**2/2 + 13*r = 0 for r.
-13, -2, -1, 0
Factor j**3/2 + 3*j**2/4 - 5*j/4.
j*(j - 1)*(2*j + 5)/4
Solve -5*s**3 - 1350*s**2 - 99840*s - 1146880 = 0.
-128, -14
Factor -2*i**3 - 18*i**2 - 28*i.
-2*i*(i + 2)*(i + 7)
Suppose q**4 + 22*q**3 - 187*q**2/4 + 119*q/4 - 6 = 0. Calculate q.
-24, 1/2, 1
Find q, given that 2*q**4/9 + 2*q**3/3 + 2*q**2/9 - 2*q/3 - 4/9 = 0.
-2, -1, 1
Factor -z**2/5 + 6*z/5 - 8/5.
-(z - 4)*(z - 2)/5
Find w, given that 52*w**3 - 56*w**2 + 4*w = 0.
0, 1/13, 1
Factor -5*m**4 - 70*m**3 + 60*m**2 + 2200*m - 4000.
-5*(m - 4)*(m - 2)*(m + 10)**2
What is a in -3*a**3/5 - 429*a**2/5 + 531*a - 4023/5 = 0?
-149, 3
Let 72*c**4/11 + 390*c**3/11 + 426*c**2/11 + 60*c/11 - 48/11 = 0. What is c?
-4, -1, -2/3, 1/4
Let 5*h**3 - 30*h**2 + 15*h + 50 = 0. Calculate h.
-1, 2, 5
Solve -3*g**4/2 - 540*g**3 - 49137*g**2 - 96660*g - 96123/2 = 0 for g.
-179, -1
Factor -2*l**3 - 460*l**2 - 25984*l + 53824.
-2*(l - 2)*(l + 116)**2
Factor w**2/3 + 3*w - 84.
(w - 12)*(w + 21)/3
Factor -4*v**2 - 44*v - 72.
-4*(v + 2)*(v + 9)
Factor -4*v**2 - 25*v - 21.
-(v + 1)*(4*v + 21)
Factor 5*h**2 - 1930*h + 186245.
5*(h - 193)**2
Suppose -25*t**5/2 + 215*t**4/6 - 46*t**3/3 - 16*t**2 + 16*t/3 + 8/3 = 0. What is t?
-2/5, 2/3, 1, 2
Factor -5*q**3/6 - 1615*q**2/2 - 521645*q/2 - 168491335/6.
-5*(q + 323)**3/6
Factor 2*y**4 - 15*y**3 + 42*y**2 - 52*y + 24.
(y - 2)**3*(2*y - 3)
Factor 2*a**5 + 6*a**4 - 92*a**3 + 144*a**2.
2*a**2*(a - 4)*(a - 2)*(a + 9)
Factor -3*u**2/4 + 522*u - 90828.
-3*(u - 348)**2/4
Factor r**4/4 + 9*r**3/4 + 6*r**2 + 5*r.
r*(r + 2)**2*(r + 5)/4
Find m such that -m**3/3 + 2*m**2 - 11*m/3 + 2 = 0.
1, 2, 3
Solve 2*v**2/21 + 50*v/21 + 8 = 0 for v.
-21, -4
Factor f**3 + 2*f**2 - 4*f - 8.
(f - 2)*(f + 2)**2
Factor -i**2 + 35*i + 246.
-(i - 41)*(i + 6)
Factor p**3/9 + 2*p**2/9 - 29*p/9 + 14/3.
(p - 3)*(p - 2)*(p + 7)/9
Suppose -5*z**3 - 2125*z**2 - 226840*z - 224720 = 0. What is z?
-212, -1
Factor p**2/8 + 389*p/4 + 151321/8.
(p + 389)**2/8
Factor 2*k**4 + 28*k**3 + 72*k**2 - 432*k - 1728.
2*(k - 4)*(k + 6)**3
Solve 75*d**4/2 + 15*d**3/2 - 414*d**2 - 768*d - 384 = 0 for d.
-8/5, -1, 4
Factor j**3/5 - 7*j**2/5 - j/5 + 7/5.
(j - 7)*(j - 1)*(j + 1)/5
Factor -2*r**4 - 26*r**3 - 94*r**2 - 70*r.
-2*r*(r + 1)*(r + 5)*(r + 7)
Determine s so that -23*s**3/6 + 45*s**2/2 + 3*s = 0.
-3/23, 0, 6
Factor 2*p**3/7 - 396*p**2/7 + 16536*p/7 + 44944.
2*(p - 106)**2*(p + 14)/7
Let -3*a**5/7 + 39*a**3/7 - 48*a**2/7 - 36*a/7 + 48/7 = 0. What is a?
-4, -1, 1, 2
Determine o, given that 2*o**4/3 - 70*o**3/3 + 700*o**2/3 - 1640*o/3 + 336 = 0.
1, 2, 14, 18
Solve -b**4/7 - 379*b**3/7 - 755*b**2/7 - 377*b/7 = 0 for b.
-377, -1, 0
Determine c so that 6*c**4/7 - 62*c**3/7 - 1154*c**2/7 - 3890*c/7 - 300 = 0.
-5, -2/3, 21
Solve -3*u**3/2 - 423*u**2/2 - 210*u = 0 for u.
-140, -1, 0
Solve 4*j**3 - 32*j**2 - 4*j + 32 = 0.
-1, 1, 8
Let -2*o**3/5 + 212*o**2 - 139384*o/5 - 283024/5 = 0. What is o?
-2, 266
Solve -2*f**4 + 6*f**3 - 8*f = 0.
-1, 0, 2
Factor 4*c**3 + 240*c**2 + 3348*c - 7688.
4*(c - 2)*(c + 31)**2
Factor -3*x**4/2 + x**3/2 + 10*x**2 + 6*x.
-x*(x - 3)*(x + 2)*(3*x + 2)/2
Factor -2*n**3/13 - 44*n**2/13 - 152*n/13 - 144/13.
-2*(n + 2)**2*(n + 18)/13
Determine a, given that a**5/4 - a**4/4 - a**3/4 + a**2/4 = 0.
-1, 0, 1
Suppose -294*t**5 + 21*t**4 + 60*t**3 - 12*t**2 = 0. Calculate t.
-1/2, 0, 2/7
Factor -4*j**2/7 + 4360*j/7 - 1188100/7.
-4*(j - 545)**2/7
Solve 3*h**2/2 - 10665*h/2 - 5334 = 0.
-1, 3556
Find w such that 4*w**2/7 - 844*w - 5912/7 = 0.
-1, 1478
Solve 2*a**4/5 + 32*a**3/5 - 4*a**2/5 - 1056*a/5 + 2178/5 = 0 for a.
-11, 3
Solve 4*s**2 + 716*s - 720 = 0 for s.
-180, 1
Factor 2*p**3/5 + 2*p**2 - 16*p/5 - 24/5.
2*(p - 2)*(p + 1)*(p + 6)/5
Factor -l**2/2 + 53*l - 2809/2.
-(l - 53)**2/2
Factor -4*k**3/5 + 68*k**2/5 - 284*k/5 + 44.
-4*(k - 11)*(k - 5)*(k - 1)/5
Factor 3*b**3 - 24*b**2 - 183*b - 156.
3*(b - 13)*(b + 1)*(b + 4)
What is t in 20*t**3 + 108*t**2 - 440*t - 192 = 0?
-8, -2/5, 3
Let 4*w**3 - 8*w**2 = 0. What is w?
0, 2
Find c, given that 5*c**3 - 460*c**2 - 1905*c - 1440 = 0.
-3, -1, 96
Factor -3*i**3 - 210*i**2 - 3219*i + 16428.
-3*(i - 4)*(i + 37)**2
Factor -2*p**4/9 - 290*p**3/9 - 4606*p**2/3 - 206486*p/9 + 470596/9.
-2*(p - 2)*(p + 49)**3/9
Solve y**5/4 - 9*y**4