**3 + 6*i**2 + 40*i + 25.
(i - 5)**2*(i + 1)**2
Let -v**3 - 59*v**2 - 115*v - 57 = 0. What is v?
-57, -1
Suppose -2*x**4/3 - 160*x**3/3 - 1118*x**2 - 2028*x = 0. What is x?
-39, -2, 0
Factor n**2 + 2*n - 15.
(n - 3)*(n + 5)
What is d in -3*d**5/7 - 10*d**4/7 - 3*d**3/7 + 12*d**2/7 + 4*d/7 = 0?
-2, -1/3, 0, 1
What is o in o**2 - 35*o - 200 = 0?
-5, 40
Solve -4*f**2 - 21056*f - 27709696 = 0 for f.
-2632
Factor 2*f**5/13 + 14*f**4/13 + 22*f**3/13 + 10*f**2/13.
2*f**2*(f + 1)**2*(f + 5)/13
Determine n so that 9*n**3/7 + 23*n**2/7 + 6*n/7 - 8/7 = 0.
-2, -1, 4/9
Solve -5*q**3 - 4915*q**2 - 1210315*q - 1205405 = 0.
-491, -1
Factor -h**3/5 + 17*h**2/5 + 37*h/5 + 19/5.
-(h - 19)*(h + 1)**2/5
Factor -7*v**3/4 + 239*v**2/2 - 34*v.
-v*(v - 68)*(7*v - 2)/4
Find d, given that 147*d**3 + 187488*d**2 - 107172*d + 15312 = 0.
-1276, 2/7
Determine a, given that -4*a**3 - 92*a**2 - 64*a + 528 = 0.
-22, -3, 2
Factor 80*z**2/9 + 238*z/9 - 2/3.
2*(z + 3)*(40*z - 1)/9
Solve 2*t**2/3 - 752*t/9 + 250/9 = 0 for t.
1/3, 125
Factor -w**2/4 + 533*w/4 + 537.
-(w - 537)*(w + 4)/4
Factor -2*u**2/5 + 378*u/5 + 76.
-2*(u - 190)*(u + 1)/5
Factor 2*u**4 + 494*u**3 + 1464*u**2.
2*u**2*(u + 3)*(u + 244)
Factor -b**2/11 + 9*b/11 + 10/11.
-(b - 10)*(b + 1)/11
Factor l**5/3 + 11*l**4/3 - 5*l**3 - 31*l**2/3 + 58*l/3 - 8.
(l - 1)**3*(l + 2)*(l + 12)/3
Factor 4*t**3 - 2604*t**2 + 422496*t + 425104.
4*(t - 326)**2*(t + 1)
Suppose 2*w**2/13 - 94*w/13 + 344/13 = 0. Calculate w.
4, 43
Solve -a**2 + 9 = 0 for a.
-3, 3
Factor p**4/4 + 15*p**3/2 + 333*p**2/4 + 405*p + 729.
(p + 6)**2*(p + 9)**2/4
Factor -4*b**5/9 + 16*b**4/9 + 44*b**3/9 + 8*b**2/3.
-4*b**2*(b - 6)*(b + 1)**2/9
Determine t so that -5*t**3 - 50*t**2 - 105*t = 0.
-7, -3, 0
Find g, given that -4*g**3/7 + 48*g**2/7 - 144*g/7 = 0.
0, 6
Factor -5*d**3 + 15*d**2 + 120*d + 140.
-5*(d - 7)*(d + 2)**2
Find r, given that r**3/7 - 8*r**2/7 - 11*r/7 + 18/7 = 0.
-2, 1, 9
Factor 3*y**2 - 1476*y + 181548.
3*(y - 246)**2
What is k in -3*k**5 + 18*k**4 - 3*k**3 - 144*k**2 + 276*k - 144 = 0?
-3, 1, 2, 4
Factor -n**2/3 - 208*n/3 - 10816/3.
-(n + 104)**2/3
Suppose -4*p**5 + 16*p**3 - 8*p**2 - 12*p + 8 = 0. What is p?
-2, -1, 1
Factor -q**3 + 47*q**2 - 90*q.
-q*(q - 45)*(q - 2)
Solve 2*z**4/3 - 16*z**3/3 + 4*z**2 + 16*z/3 - 14/3 = 0 for z.
-1, 1, 7
Find h such that -2*h**4/7 + 18*h**3/7 + 134*h**2/7 + 102*h/7 - 36 = 0.
-3, 1, 14
Suppose 18*j**4/5 + 57*j**3/5 + 9*j**2/5 = 0. Calculate j.
-3, -1/6, 0
Find j, given that 2*j**5 - 16*j**4 + 36*j**3 - 8*j**2 - 38*j + 24 = 0.
-1, 1, 3, 4
Factor -2*n**3/13 - 392*n**2/13 - 30*n.
-2*n*(n + 1)*(n + 195)/13
Let 4*p**2 - 182*p + 90 = 0. What is p?
1/2, 45
Let -2*g**2/13 + 14*g + 372/13 = 0. Calculate g.
-2, 93
What is b in b**3 + 234*b**2 - 471*b + 236 = 0?
-236, 1
Find n, given that 21*n**5/5 + 78*n**4/5 + 102*n**3/5 + 48*n**2/5 - 3*n/5 - 6/5 = 0.
-1, 2/7
Determine s so that 4*s**5 - 184*s**4 + 696*s**3 - 1024*s**2 + 676*s - 168 = 0.
1, 42
Find y such that y**4/4 + 25*y**3/4 + 47*y**2/4 + 23*y/4 = 0.
-23, -1, 0
Factor -k**3/4 - 5*k**2 - 33*k/4 + 27/2.
-(k - 1)*(k + 3)*(k + 18)/4
Factor 125*q**5/3 + 70150*q**4/3 + 28020*q**3 + 33608*q**2/3 + 4480*q/3.
q*(q + 560)*(5*q + 2)**3/3
Factor -2*j**3/13 - 32*j**2/13 - 160*j/13 - 256/13.
-2*(j + 4)**2*(j + 8)/13
What is o in 2*o**3/7 + 4*o**2/7 - 6*o/7 = 0?
-3, 0, 1
Factor 5*x**4 + 265*x**3 + 995*x**2 + 735*x.
5*x*(x + 1)*(x + 3)*(x + 49)
Find z, given that 2*z**4/7 + 2*z**3/7 - 32*z**2/7 - 8*z/7 + 96/7 = 0.
-4, -2, 2, 3
Let 5*v**3 + 5*v**2 - 30*v = 0. What is v?
-3, 0, 2
Factor -i**5 - 4*i**4 - 4*i**3 + 2*i**2 + 5*i + 2.
-(i - 1)*(i + 1)**3*(i + 2)
Factor -12*w**4 - 40*w**3 - 4*w**2 + 24*w.
-4*w*(w + 1)*(w + 3)*(3*w - 2)
Determine h, given that -3*h**4/2 - 550*h**3 - 4001*h**2/2 - 1450*h + 726 = 0.
-363, -2, 1/3
Find k such that k**2 - 264*k + 17424 = 0.
132
Determine m so that m**5/3 + 13*m**4/3 - 14*m**3/3 = 0.
-14, 0, 1
Factor -3*n**2/4 - 87*n/2 - 84.
-3*(n + 2)*(n + 56)/4
Let -u**2/6 + 68*u - 406/3 = 0. Calculate u.
2, 406
Determine g so that -g**2 + 63*g - 62 = 0.
1, 62
What is u in -2*u**4/13 - 888*u**3/13 + 890*u**2/13 = 0?
-445, 0, 1
Factor 10*x**4 - 45*x**3 - 85*x**2 - 30*x.
5*x*(x - 6)*(x + 1)*(2*x + 1)
Let -i**4 - 431*i**3 + 866*i**2 = 0. What is i?
-433, 0, 2
Determine p, given that -5*p**3 + 1880*p**2 = 0.
0, 376
Factor c**3 - 8*c**2 + 11*c + 20.
(c - 5)*(c - 4)*(c + 1)
Suppose p**4 - 11*p**3 - 12*p**2 = 0. What is p?
-1, 0, 12
Factor -10*m**4 + 635*m**3 + 320*m**2.
-5*m**2*(m - 64)*(2*m + 1)
Let -6*j**4/11 + 2*j**3/11 = 0. What is j?
0, 1/3
Factor 5*s**2 - 14335*s.
5*s*(s - 2867)
Find s, given that 2*s**5 - 90*s**4 + 494*s**3 - 1038*s**2 + 944*s - 312 = 0.
1, 2, 39
Factor -25*z**5/3 + 55*z**4/3 + 56*z**3/3 + 4*z**2.
-z**2*(z - 3)*(5*z + 2)**2/3
Find h such that 2*h**5 + 36*h**4 + 186*h**3 + 160*h**2 - 384*h = 0.
-8, -3, 0, 1
Determine w so that 3*w**2/2 + 69*w/2 - 117 = 0.
-26, 3
Solve 42*b**4/5 - 58*b**3 + 308*b**2/5 + 704*b/5 + 64/5 = 0.
-1, -2/21, 4
Factor 3*q**3 + 846*q**2 + 79524*q + 2491752.
3*(q + 94)**3
Factor 114*l**3/7 + 460*l**2/7 + 16*l/7.
2*l*(l + 4)*(57*l + 2)/7
Suppose 2*c**2 - 238*c = 0. What is c?
0, 119
Let 2*j**3 + 1250*j**2 + 195936*j + 194688 = 0. What is j?
-312, -1
Suppose 20*i**3/3 + 84*i**2 - 704*i/3 + 80 = 0. What is i?
-15, 2/5, 2
Factor -g**3/5 - 41*g**2/5 - 116*g/5 - 76/5.
-(g + 1)*(g + 2)*(g + 38)/5
Factor -5*g**4/4 + 19*g**3/4 - 27*g**2/4 + 17*g/4 - 1.
-(g - 1)**3*(5*g - 4)/4
Let -5*u**3 + 185*u**2 + 390*u = 0. Calculate u.
-2, 0, 39
What is y in -12*y**3 + 10*y**2 + 48*y - 40 = 0?
-2, 5/6, 2
Factor -2*l**4 - 58*l**3 - 210*l**2 - 254*l - 100.
-2*(l + 1)**2*(l + 2)*(l + 25)
Let -r**4 + 11*r**3 + 1350*r**2 - 35964*r + 250776 = 0. What is r?
-43, 18
Let 70*a**5/13 + 76*a**4/13 - 194*a**3/13 - 368*a**2/13 - 200*a/13 - 32/13 = 0. What is a?
-1, -4/5, -2/7, 2
Solve 2*p**2/9 + 208*p/9 - 214/3 = 0 for p.
-107, 3
Find n, given that 2*n**2 + 250*n - 252 = 0.
-126, 1
Determine v, given that 20*v**4 + 715*v**3 + 3520*v**2 + 2075*v - 750 = 0.
-30, -5, -1, 1/4
Solve -2*n**5/15 - 2*n**4/3 + 4*n**3 + 16*n**2/3 - 128*n/15 = 0 for n.
-8, -2, 0, 1, 4
Factor -9*u**2 - 163*u - 18.
-(u + 18)*(9*u + 1)
Factor 27*u**2/4 - 8823*u/4 - 981/2.
3*(u - 327)*(9*u + 2)/4
Factor -3*n**3 - 15*n**2 + 24*n + 144.
-3*(n - 3)*(n + 4)**2
Factor -8*b**2/15 - 58222*b/15 + 4852/5.
-2*(b + 7278)*(4*b - 1)/15
Factor s**4/9 - 32*s**3/9 + 10*s**2/3 + 32*s/9 - 31/9.
(s - 31)*(s - 1)**2*(s + 1)/9
Determine o, given that o**2/3 - 34*o/3 + 11 = 0.
1, 33
Determine h so that 5*h**3 - 395*h**2 + 775*h - 385 = 0.
1, 77
Factor -i**2/10 + 31*i + 311/10.
-(i - 311)*(i + 1)/10
Factor -m**2 - 120*m/7 + 268/7.
-(m - 2)*(7*m + 134)/7
Factor 2*i**2 - 13508*i + 22808258.
2*(i - 3377)**2
Factor 2*w**2/15 + 112*w/15 + 40.
2*(w + 6)*(w + 50)/15
What is z in z**2 - 29*z - 30 = 0?
-1, 30
Factor 5*i**2/8 + 21*i/8 + 9/4.
(i + 3)*(5*i + 6)/8
Factor -2*h**3 - 30*h**2 - 94*h - 66.
-2*(h + 1)*(h + 3)*(h + 11)
Factor 4241205*q**5 - 25465650*q**4 + 38281385*q**3 - 165900*q**2 + 180*q.
5*q*(q - 3)**2*(921*q - 2)**2
Solve -4*g**2/3 + 40*g/3 - 64/3 = 0.
2, 8
Factor -11406549*p**3/5 + 614658*p**2 + 52308*p/5 + 216/5.
-3*(7*p - 2)*(737*p + 6)**2/5
Factor 4*v**2 + 2132*v + 2128.
4*(v + 1)*(v + 532)
Factor 2*l**2 + 484*l - 486.
2*(l - 1)*(l + 243)
Factor 3*t**2 + 168*t + 324.
3*(t + 2)*(t + 54)
Factor n**4/5 - 9*n**3/5 + 2*n**2/5 + 84*n/5 + 72/5.
(n - 6)**2*(n + 1)*(n + 2)/5
Factor -2*p**5/9 - 26*p**4/9 + 100*p**3/9 + 116*p**2 - 594*p + 726.
-2*(p - 3)**3*(p + 11)**2/9
Let -10*z**2/7 + 54*z/7 - 20/7 = 0. Calculate z.
2/5, 5
Factor -x**3 - 77*x**2 - 1443*x + 1521.
-(x - 1)*(x + 39)**2
Find x, given that -3*x**2 + 39*x = 0.
0, 13
What is u in 3*u**4 - 93*u**3 + 765*u**2 - 675*u = 0?
0, 1, 15
Suppose f**5 - 29*f**4/3 + 21*f**3 + 15*f**2 - 50*f/3 = 0. Calculate f.
-1, 0, 2/3, 5
Let u**5 - 592*u**4 + 588*u**3 + 1774*u**2 - 589*u - 1182 = 0. Calculate u.
-1, 1, 2, 591
Factor g**2/5 + 46*g/5 - 47/5.
(g - 1)*(g + 47)/5
Determine g so that -3*g**4 - 33*g**3 - 69*g**2 + 33*g + 72 = 0.
-8, -3, -1, 1
Factor -4*n**3 - 176*n**2 + 4*n + 176.
-4*(n - 1)*(n + 1)*(n + 44)
Suppose -15*j**5 - 280*j**4 - 420*j**3 + 110*j**2 + 435*j + 170 = 0. Calculate j.
-17, -1, -2/3, 1
Find j, given that 3*j**2 - 30*j + 72 = 0.
4, 6
Fact