 78*x**2/5 - 82*x/5 - 16 = 0 for x.
-40, -1, 1
Determine p, given that p**4/3 - 19*p**3/3 - 21*p**2 - 65*p/3 - 22/3 = 0.
-1, 22
Factor -3*d**4 + 288*d**3 + 585*d**2 + 294*d.
-3*d*(d - 98)*(d + 1)**2
Factor 4*d**4 - 16*d**3 + 64*d - 64.
4*(d - 2)**3*(d + 2)
Factor -x**3/4 - 15*x**2/2 + 2731*x/4 + 690.
-(x - 40)*(x + 1)*(x + 69)/4
Factor a**2/6 + a - 9/2.
(a - 3)*(a + 9)/6
Suppose -u**4/6 - 9*u**3/2 + 31*u**2/3 + 18*u - 116/3 = 0. What is u?
-29, -2, 2
Determine w, given that 2*w**2 + 14*w - 120 = 0.
-12, 5
Factor -3*d**3/7 - 30*d**2/7 - 3*d + 54/7.
-3*(d - 1)*(d + 2)*(d + 9)/7
Determine a, given that -a**2/3 - 96*a - 572/3 = 0.
-286, -2
Let 6*n**5/13 - 2*n**4 - 62*n**3/13 + 2*n**2/13 + 56*n/13 + 24/13 = 0. Calculate n.
-1, -2/3, 1, 6
Factor -u**2 + 48*u - 576.
-(u - 24)**2
Factor -a**5 - 746*a**4 - 209064*a**3 - 26154576*a**2 - 1248362064*a - 2393766432.
-(a + 2)*(a + 186)**4
Find j such that -5*j**4 + 40*j**3 + 125*j**2 - 640*j - 720 = 0.
-4, -1, 4, 9
Suppose -25*f**5/4 - 60*f**4 - 125*f**3/4 + 45*f**2/2 = 0. What is f?
-9, -1, 0, 2/5
Factor j**4/5 - 21*j**3/10 + 26*j**2/5 - 21*j/10.
j*(j - 7)*(j - 3)*(2*j - 1)/10
Determine n, given that 2*n**4 - 2*n**3 - 2*n**2 + 2*n = 0.
-1, 0, 1
Factor 10*x**2/3 + 7174*x/3 + 956.
2*(x + 717)*(5*x + 2)/3
Factor -v**5 - 4*v**4 + 3*v**3 + 18*v**2.
-v**2*(v - 2)*(v + 3)**2
Factor i**2/2 + 25*i/6 + 11/3.
(i + 1)*(3*i + 22)/6
Solve -20*q**3 + 212*q**2 - 112*q - 80 = 0 for q.
-2/5, 1, 10
Suppose -12*q**4 + 152*q**3/3 + 364*q**2/3 + 128*q/3 - 16 = 0. What is q?
-1, 2/9, 6
Determine h, given that 2*h**3/7 + 10*h**2/7 - 226*h/7 - 234/7 = 0.
-13, -1, 9
Factor -4*r**5 + 188*r**4 - 360*r**3 - 8*r**2 + 364*r - 180.
-4*(r - 45)*(r - 1)**3*(r + 1)
Factor -4*h**2 - 160*h.
-4*h*(h + 40)
Factor 3*i**2 + 12102*i + 12204867.
3*(i + 2017)**2
Factor -4*h**3 + 48*h + 64.
-4*(h - 4)*(h + 2)**2
Factor -9*h**2/4 - 11*h/2.
-h*(9*h + 22)/4
Find g such that -2*g**2/5 - 6*g + 648/5 = 0.
-27, 12
Determine r so that -5*r**3/3 - 2*r**2 - r/3 = 0.
-1, -1/5, 0
Factor -2*r**3 - 186*r**2 + 378*r - 190.
-2*(r - 1)**2*(r + 95)
What is r in 5*r**2 - 45*r + 40 = 0?
1, 8
Determine u, given that -2*u**3 - 2432*u**2/3 - 3224*u/3 + 3232/3 = 0.
-404, -2, 2/3
Factor -9*f**4 + 33*f**3 + 18*f**2 - 24*f.
-3*f*(f - 4)*(f + 1)*(3*f - 2)
Determine r so that -897*r**2/2 + 2685*r/2 + 9 = 0.
-2/299, 3
What is q in -2*q**2/5 + 26*q/5 = 0?
0, 13
Factor 3*l**4/5 - 6*l**3 - 69*l**2/5 - 36*l/5.
3*l*(l - 12)*(l + 1)**2/5
Solve 64*l**5 - 1056*l**4 - 1788*l**3 + 1088*l**2 - 144*l = 0 for l.
-2, 0, 1/4, 18
Solve -2*f**3 - 3*f**2/2 + 8*f + 6 = 0.
-2, -3/4, 2
Find z such that z**3/3 + 96*z**2 - 4*z/3 - 384 = 0.
-288, -2, 2
Factor -11*a**5/4 + 21*a**4 - 36*a**3 - 16*a**2.
-a**2*(a - 4)**2*(11*a + 4)/4
Factor -3*g**5 - 120*g**4.
-3*g**4*(g + 40)
Determine b so that -2*b**5 - 28*b**4 + 32*b**3 + 28*b**2 - 30*b = 0.
-15, -1, 0, 1
Factor 4*x**5 - 20*x**4 + 32*x**3 - 16*x**2.
4*x**2*(x - 2)**2*(x - 1)
Factor -4*c**3 - 8*c**2 - 4*c.
-4*c*(c + 1)**2
Find d, given that 20*d**3 + 32*d**2 - 76*d + 24 = 0.
-3, 2/5, 1
Find x, given that 2*x**4 + 22*x**3 + 64*x**2 + 56*x = 0.
-7, -2, 0
Let i**5 - 38*i**4 + 34*i**3 + 116*i**2 - 187*i + 74 = 0. What is i?
-2, 1, 37
Suppose g**4/4 + 1801*g**3/8 + 101475*g**2/2 + 50625*g/2 = 0. Calculate g.
-450, -1/2, 0
Factor 3*x**4 - 93*x**3 + 588*x**2 - 828*x.
3*x*(x - 23)*(x - 6)*(x - 2)
Suppose v**3/7 + 4*v**2/7 + 4*v/7 = 0. What is v?
-2, 0
Find p, given that -4*p**3 - 460*p**2 + 1408*p - 944 = 0.
-118, 1, 2
Factor -r**3/3 + 3*r**2 + 72*r + 252.
-(r - 21)*(r + 6)**2/3
Factor u**2/4 - 47*u/4.
u*(u - 47)/4
Factor 5*j**3 - 2155*j**2 + 231120*j + 233280.
5*(j - 216)**2*(j + 1)
Solve -16*m**3 - 188*m**2 - 292*m - 120 = 0 for m.
-10, -1, -3/4
Determine t, given that 4*t**4 + 2988*t**3 + 556504*t**2 - 565488*t - 1119008 = 0.
-374, -1, 2
Determine w so that -3*w**4/8 - 69*w**3/4 + 2523*w**2/8 + 69*w/4 - 315 = 0.
-60, -1, 1, 14
Let t**4/6 - 17*t**3/6 + 41*t**2/3 - 20*t = 0. Calculate t.
0, 3, 4, 10
Factor -4*d**4 - 33*d**3 - 28*d**2 + 195*d + 50.
-(d - 2)*(d + 5)**2*(4*d + 1)
Factor 5*t**2/3 + 80*t + 720.
5*(t + 12)*(t + 36)/3
Let -w**3/4 - w**2/2 + 3*w/4 = 0. Calculate w.
-3, 0, 1
Factor -3*m**4 + 15*m**3 + 75*m**2 - 375*m.
-3*m*(m - 5)**2*(m + 5)
Find v such that -v**2 - 948*v - 224676 = 0.
-474
Let 2*a**4/3 + 4*a**3 + 2*a**2/3 - 16*a + 32/3 = 0. Calculate a.
-4, 1
Factor -x**3/2 - 213*x**2/2.
-x**2*(x + 213)/2
Factor -132651*w**3 - 15606*w**2 - 612*w - 8.
-(51*w + 2)**3
Factor s**2/2 + 7*s/2 + 5.
(s + 2)*(s + 5)/2
Factor 2*q**5/3 - 80*q**4/3 - 166*q**3/3 - 28*q**2.
2*q**2*(q - 42)*(q + 1)**2/3
Let -3*d**2/7 - 258*d/7 + 195 = 0. What is d?
-91, 5
Let -3*b**3 - 114*b**2 - 105*b + 222 = 0. What is b?
-37, -2, 1
Suppose -f**4/8 + 2391*f**3/8 + 7179*f**2/8 + 7181*f/8 + 1197/4 = 0. Calculate f.
-1, 2394
What is w in w**4/2 - 9*w**3/2 - 71*w**2/2 + 9*w/2 + 35 = 0?
-5, -1, 1, 14
Factor -4*o**4/3 - 88*o**3/3 - 260*o**2/3 + 2704*o/3.
-4*o*(o - 4)*(o + 13)**2/3
Find a such that 2*a**4 - 14*a**3 + 20*a**2 = 0.
0, 2, 5
Factor 8*q**3 + 2084*q**2 - 5252*q + 2104.
4*(q - 2)*(q + 263)*(2*q - 1)
What is n in 2*n**4 - 2*n**3 = 0?
0, 1
Factor -4*a**3 - 10*a**2 + 46*a - 20.
-2*(a - 2)*(a + 5)*(2*a - 1)
Factor 2*a**2 - 1688*a - 1690.
2*(a - 845)*(a + 1)
Let -2*y**3/9 + 276*y**2 - 114264*y + 15768432 = 0. What is y?
414
Factor u**5/6 - 7*u**3/6 + u**2.
u**2*(u - 2)*(u - 1)*(u + 3)/6
Suppose 5*x**5 + 90*x**4 + 400*x**3 - 90*x**2 - 405*x = 0. Calculate x.
-9, -1, 0, 1
Factor o**3 + 8*o**2 + 5*o - 14.
(o - 1)*(o + 2)*(o + 7)
Let -f**2 - 25*f/2 + 13/2 = 0. What is f?
-13, 1/2
Factor v**3/7 + 13*v**2/7 - v/7 - 13/7.
(v - 1)*(v + 1)*(v + 13)/7
Suppose 4*v**2 + 6232*v = 0. Calculate v.
-1558, 0
Factor -4*v**3/5 + 8904*v**2/5 + 17824*v/5.
-4*v*(v - 2228)*(v + 2)/5
Factor -5*d**3 + 195*d**2 - 370*d.
-5*d*(d - 37)*(d - 2)
Factor -9*u**4 - 3*u**3 + 24*u**2 - 12*u.
-3*u*(u - 1)*(u + 2)*(3*u - 2)
Determine x so that -4*x**5/5 + 22*x**4/5 - 4*x**3 - 16*x**2/5 = 0.
-1/2, 0, 2, 4
What is p in 4*p**3/5 + 4*p**2/5 = 0?
-1, 0
Factor -4*m**3 - 56*m**2 + 140*m + 192.
-4*(m - 3)*(m + 1)*(m + 16)
Solve 185*x**3/3 - 246*x**2 + 547*x/3 + 2 = 0.
-2/185, 1, 3
Solve -a**3 + 103*a**2 - 3536*a + 40460 = 0 for a.
34, 35
Let s**4/5 + 2*s**3/5 - 3*s**2/5 - 4*s/5 + 4/5 = 0. What is s?
-2, 1
Factor 3*r**3/5 - 66*r**2/5 + 408*r/5 - 576/5.
3*(r - 12)*(r - 8)*(r - 2)/5
Solve -2*k**3 + 12*k**2 - 16*k = 0 for k.
0, 2, 4
Solve -3*r**4 - 696*r**3 - 54054*r**2 - 1422960*r - 1369599 = 0 for r.
-77, -1
Let 5*h**4 - 110*h**3 + 285*h**2 + 7040*h - 38720 = 0. Calculate h.
-8, 8, 11
Factor 5*u**2 - 20*u + 15.
5*(u - 3)*(u - 1)
Factor 3*y**3/5 + 6*y**2/5 - 1212*y/5 + 2376/5.
3*(y - 18)*(y - 2)*(y + 22)/5
Factor -2*j**3/3 - 487*j**2/6 - 883*j/3 + 236/3.
-(j + 4)*(j + 118)*(4*j - 1)/6
Factor -q**3/4 + 51*q**2 - 2268*q - 34992.
-(q - 108)**2*(q + 12)/4
Factor n**3 + 783*n**2 + 204363*n + 17779581.
(n + 261)**3
Let -5*m**2 + 370*m - 6845 = 0. Calculate m.
37
Find a such that -2*a**3 - 536*a**2 - 34816*a + 147968 = 0.
-136, 4
Find c, given that -5*c**3 + 50*c**2 + 65*c - 110 = 0.
-2, 1, 11
Suppose -f**5/5 + 4*f**4/5 + 21*f**3/5 + 4*f**2/5 - 28*f/5 = 0. What is f?
-2, 0, 1, 7
Factor 2*q**3 - 16*q**2 + 38*q - 24.
2*(q - 4)*(q - 3)*(q - 1)
Suppose -i**2/2 - 6*i - 11/2 = 0. Calculate i.
-11, -1
Determine f, given that -4*f**2/3 - 32248*f/3 - 64995844/3 = 0.
-4031
Factor 5*d**2 + 5*d - 30.
5*(d - 2)*(d + 3)
Determine i so that i**2/3 + 68*i/3 + 252 = 0.
-54, -14
Factor -k**3 - 16*k**2 + 17*k.
-k*(k - 1)*(k + 17)
Suppose 8*k**5 - 42*k**4 + 66*k**3 - 38*k**2 + 6*k = 0. What is k?
0, 1/4, 1, 3
Factor g**4 + 438*g**3 - g**2 - 438*g.
g*(g - 1)*(g + 1)*(g + 438)
Factor 4*v**4 - 48*v**3 + 88*v**2 + 336*v + 196.
4*(v - 7)**2*(v + 1)**2
Solve -w**2 + 378*w - 35721 = 0 for w.
189
Solve s**2/4 + 43*s/2 + 42 = 0 for s.
-84, -2
Factor 4*y**4 + 16*y**3 - 24*y**2 - 16*y + 20.
4*(y - 1)**2*(y + 1)*(y + 5)
Factor -h**2/2 + h + 3/2.
-(h - 3)*(h + 1)/2
What is i in -8*i**4/13 + 58*i**3/13 - 102*i**2/13 + 62*i/13 - 10/13 = 0?
1/4, 1, 5
Factor v**4/9 + 10*v**3/9 + 11*v**2/3 + 40*v/9 + 16/9.
(v + 1)**2*(v + 4)**2/9
Factor y**2/4 - 21*y + 83/4.
(y - 83)*(y - 1)/4
Factor -3*w**3 + 162*w**2 - 1557*w - 1722.
-3*(w - 41)*(w - 14)*(w + 1)
Solve -4*o**5 + 136*o*