)
Solve -3*b**2 - 33*b + 36 = 0 for b.
-12, 1
What is b in 2*b**2 - 836*b + 834 = 0?
1, 417
Factor 4*s**3 + 12*s**2 - 52*s - 60.
4*(s - 3)*(s + 1)*(s + 5)
Factor -2*c**2/7 - 8*c/7 + 22.
-2*(c - 7)*(c + 11)/7
Solve -d**2/2 + 528*d - 139392 = 0.
528
Let -2*q**4/7 + 104*q**3 - 14196*q**2 + 861224*q - 19592846 = 0. What is q?
91
Factor -3*m**2 - 42*m - 72.
-3*(m + 2)*(m + 12)
Factor -o**3/3 + 52*o**2 - 204*o + 608/3.
-(o - 152)*(o - 2)**2/3
Factor -3*o**3/2 - 3*o**2 + 3*o/2 + 3.
-3*(o - 1)*(o + 1)*(o + 2)/2
Find h, given that h**4/5 - h**3/5 - 26*h**2/5 + 84*h/5 - 72/5 = 0.
-6, 2, 3
Let 4*s**4/5 + 4*s**3 + 16*s**2/5 = 0. What is s?
-4, -1, 0
Let z**2/5 - 48*z/5 - 49/5 = 0. What is z?
-1, 49
Factor 3*y**4 + 138*y**3 + 1839*y**2 + 5796*y + 5292.
3*(y + 2)**2*(y + 21)**2
Factor 2*z**3/7 - 10*z**2/7 + 12*z/7.
2*z*(z - 3)*(z - 2)/7
Find v such that -3*v**2/4 - 735*v/4 + 558 = 0.
-248, 3
What is p in p**5 + 8*p**4 + 20*p**3 + 10*p**2 - 21*p - 18 = 0?
-3, -2, -1, 1
Solve u**4/7 + 17*u**3/7 + 80*u**2/7 + 64*u/7 = 0.
-8, -1, 0
Solve 3*d**3/4 + 33*d**2/4 + 51*d/2 + 18 = 0.
-6, -4, -1
Find f, given that f**5 + 5*f**4 - 33*f**3 - 81*f**2 + 432*f - 324 = 0.
-6, 1, 3
Solve -12*m**2 + 15*m + 63 = 0 for m.
-7/4, 3
Factor -75*p**3 - 5*p**2 + 55*p - 15.
-5*(p + 1)*(3*p - 1)*(5*p - 3)
Find p such that p**2/2 - 229*p + 52441/2 = 0.
229
Factor -12*i**3/5 - 109*i**2/5 - 249*i/5 - 4.
-(i + 4)*(i + 5)*(12*i + 1)/5
What is h in 2*h**2 - 20*h/9 + 2/9 = 0?
1/9, 1
Factor f**5 - 17*f**4 + 95*f**3 - 175*f**2.
f**2*(f - 7)*(f - 5)**2
Suppose 4*c**3 + 28*c**2 + 60*c + 36 = 0. What is c?
-3, -1
Factor -4*t**2 - 6144*t - 2359296.
-4*(t + 768)**2
Solve p**3 + 22*p**2 + 37*p - 60 = 0 for p.
-20, -3, 1
Determine p so that -4*p**3 - 4780*p**2 - 1430412*p - 1425636 = 0.
-597, -1
Factor 2*x**3/5 + 562*x**2/5 + 556*x/5 - 224.
2*(x - 1)*(x + 2)*(x + 280)/5
Factor d**4/3 + 22*d**3/3 - 53*d**2 + 84*d.
d*(d - 3)**2*(d + 28)/3
Factor a**5/4 - 9*a**4/4 + 7*a**3 - 9*a**2 + 4*a.
a*(a - 4)*(a - 2)**2*(a - 1)/4
Factor -6*l**3/11 - 50*l**2/11 - 112*l/11 - 32/11.
-2*(l + 4)**2*(3*l + 1)/11
Solve 2*k**5/3 + 46*k**4/3 + 326*k**3/3 + 506*k**2/3 - 1736*k/3 - 1960/3 = 0.
-10, -7, -1, 2
Suppose 80*n**4 + 1320*n**3 + 4565*n**2 - 8925*n - 12250 = 0. Calculate n.
-35/4, -1, 2
Factor 5*y**3 + 5*y**2 - 25*y + 15.
5*(y - 1)**2*(y + 3)
Suppose b**2 + 49*b + 48 = 0. Calculate b.
-48, -1
What is y in 50*y**4/7 + 60*y**3/7 - 142*y**2/7 - 96*y/7 + 128/7 = 0?
-8/5, 1
Factor -2*y**2/7 + 60*y/7 + 62/7.
-2*(y - 31)*(y + 1)/7
Let -r**3/5 - 42*r**2/5 - 576*r/5 - 512 = 0. Calculate r.
-16, -10
Find d such that 2*d**2 + 78*d + 76 = 0.
-38, -1
Factor j**4 - 3*j**2 + 2*j.
j*(j - 1)**2*(j + 2)
Factor -2*w**3 + 6*w**2 - 4*w.
-2*w*(w - 2)*(w - 1)
Let -2*i**3/7 + 114*i**2/7 + 236*i/7 = 0. What is i?
-2, 0, 59
Factor 4*w**5 - 12*w**4 + 8*w**3.
4*w**3*(w - 2)*(w - 1)
Determine p, given that 2*p**4/5 - 54*p**3/5 - 2*p**2/5 + 54*p/5 = 0.
-1, 0, 1, 27
What is o in 4*o**4/9 - 68*o**3/9 + 56*o**2/3 + 1040*o/9 + 800/9 = 0?
-2, -1, 10
Factor -4*n**3/5 + 112*n**2/5 - 468*n/5 - 504.
-4*(n - 21)*(n - 10)*(n + 3)/5
Determine x, given that 12*x**4 + 441*x**3 + 729*x**2 - 210*x = 0.
-35, -2, 0, 1/4
Solve 5*u**3 - 40*u**2 + 60*u = 0.
0, 2, 6
Let -4*g**5/7 + 101*g**4/7 - 209*g**3/7 + 46*g**2/7 = 0. What is g?
0, 1/4, 2, 23
Factor -d**2/5 - d + 24/5.
-(d - 3)*(d + 8)/5
Factor -2*u**3 + 4*u**2 + 30*u.
-2*u*(u - 5)*(u + 3)
Find a such that -2*a**5/15 - 16*a**4/15 + 2*a**3/3 + 16*a**2/3 - 8*a/15 - 64/15 = 0.
-8, -2, -1, 1, 2
Factor -3*m**3/5 + 21*m**2/5 + 12*m/5 - 84/5.
-3*(m - 7)*(m - 2)*(m + 2)/5
Factor -z**5 - 15*z**4 + 160*z**3 - 520*z**2 + 720*z - 368.
-(z - 2)**4*(z + 23)
Factor 2*h**4/15 + 16*h**3/15 + 4*h**2/5 - 16*h/3 + 10/3.
2*(h - 1)**2*(h + 5)**2/15
Solve -4*o**4 - 48*o**3 + 4*o**2 + 48*o = 0 for o.
-12, -1, 0, 1
Let -m**5/4 - 3*m**4/4 + m**2 = 0. Calculate m.
-2, 0, 1
Let -2*y**3 - 20*y**2 + 22*y = 0. What is y?
-11, 0, 1
Factor x**3/2 + 16*x**2 - 70*x + 72.
(x - 2)**2*(x + 36)/2
Solve 3*j**4/5 - 6*j**2/5 + 3/5 = 0.
-1, 1
Factor 5*b**2 + 1255*b + 3720.
5*(b + 3)*(b + 248)
Factor f**5 + 7*f**4 - 17*f**3 - 99*f**2 + 216*f - 108.
(f - 3)*(f - 1)**2*(f + 6)**2
Factor -2*i**2/7 - 68*i/7 - 578/7.
-2*(i + 17)**2/7
Factor -2*o**3/9 + 380*o**2/9 + 766*o/9 + 128/3.
-2*(o - 192)*(o + 1)**2/9
Factor -4*i**5/5 - 4*i**4 - 36*i**3/5 - 28*i**2/5 - 8*i/5.
-4*i*(i + 1)**3*(i + 2)/5
Factor 3*b**3 - 336*b**2.
3*b**2*(b - 112)
Solve 45*v**2 + 145*v + 30 = 0.
-3, -2/9
Let 2*v**3 - 2*v**2 - 74*v - 70 = 0. What is v?
-5, -1, 7
Factor -k**3/3 + 164*k**2/3 + k/3 - 164/3.
-(k - 164)*(k - 1)*(k + 1)/3
Factor s**2/4 - 2960*s + 8761600.
(s - 5920)**2/4
Factor -3*p**3/5 - 6*p**2 - 51*p/5 - 24/5.
-3*(p + 1)**2*(p + 8)/5
Determine k, given that -12*k**4 - 980*k**3 + 1324*k**2 - 332*k = 0.
-83, 0, 1/3, 1
Find w such that -2*w**5 - 4*w**4 + 16*w**3 = 0.
-4, 0, 2
Factor 2592*m**5 - 864*m**4 + 90*m**3 - 3*m**2.
3*m**2*(6*m - 1)*(12*m - 1)**2
Solve -3*y**2/2 + 18*y + 135/2 = 0 for y.
-3, 15
Suppose r**3/4 + 91*r**2/4 - 93*r/2 = 0. What is r?
-93, 0, 2
Find o such that 5*o**2 + 30*o - 675 = 0.
-15, 9
Find x such that -2*x**5/19 + 14*x**4/19 - 30*x**3/19 + 26*x**2/19 - 8*x/19 = 0.
0, 1, 4
Factor -5*f**4 + 465*f**3 - 1350*f**2.
-5*f**2*(f - 90)*(f - 3)
Factor -159*o**4/7 - 1278*o**3/7 - 2592*o**2/7 - 96*o/7.
-3*o*(o + 4)**2*(53*o + 2)/7
Find t such that 5*t**3/4 - 2753*t**2/2 + 1101*t/4 = 0.
0, 1/5, 1101
Determine h so that -h**2/4 + 379*h/4 - 282 = 0.
3, 376
Determine x so that 5*x**2 - 295*x = 0.
0, 59
What is r in 5*r**4 - 40*r**3 - 155*r**2 + 490*r + 600 = 0?
-4, -1, 3, 10
Factor 2*r**5/9 - 4*r**4 + 80*r**3/3 - 736*r**2/9 + 352*r/3 - 64.
2*(r - 6)**2*(r - 2)**3/9
Let -2*u**3/7 + 404*u**2/7 - 800*u/7 = 0. Calculate u.
0, 2, 200
Factor 2*x**3/5 + 6*x**2/5.
2*x**2*(x + 3)/5
Solve -f**3/5 + 2*f**2 + 23*f/5 + 12/5 = 0 for f.
-1, 12
Factor -j**3/3 + 25*j**2/3.
-j**2*(j - 25)/3
Determine s, given that -s**2 - 153*s + 310 = 0.
-155, 2
Factor -3*o**5/2 + 3*o**4/2 + 3*o**3 - 3*o**2 - 3*o/2 + 3/2.
-3*(o - 1)**3*(o + 1)**2/2
Suppose -u**4/3 + 3*u**3/2 - u**2/2 - 2*u/3 = 0. What is u?
-1/2, 0, 1, 4
What is h in h**3/6 + 41*h**2/6 + 58*h = 0?
-29, -12, 0
Factor -2*u**5/9 - 266*u**4/9 + 1088*u**3/9 - 1096*u**2/9.
-2*u**2*(u - 2)**2*(u + 137)/9
Find a, given that -236*a**2 - 8*a/3 = 0.
-2/177, 0
Suppose -11*m**5 - 78*m**4 + 91*m**3 + 78*m**2 - 80*m = 0. Calculate m.
-8, -1, 0, 10/11, 1
Factor -k**4/6 - 2*k**3/3 + k**2/6 + 2*k/3.
-k*(k - 1)*(k + 1)*(k + 4)/6
Factor -4*k**4 + 12*k**3 - 16*k.
-4*k*(k - 2)**2*(k + 1)
Factor 4*h**3/5 - 4*h**2/5 - 24*h/5.
4*h*(h - 3)*(h + 2)/5
Factor 5*z**5 + 285*z**4 + 1455*z**3 - 70825*z**2 + 441000*z - 810000.
5*(z - 5)**3*(z + 36)**2
What is w in -15*w**2/2 + 77*w - 20 = 0?
4/15, 10
Factor r**3/4 - 125*r**2/2 + 497*r/4 - 62.
(r - 248)*(r - 1)**2/4
Find k, given that -2*k**3/11 - 54*k**2/11 + 3264*k/11 - 30208/11 = 0.
-59, 16
Factor 2*q**3/5 + 1718*q**2/5 + 373198*q/5 + 364658.
2*(q + 5)*(q + 427)**2/5
Factor -5*r**4 - 415*r**3 + 3070*r**2 - 7140*r + 5400.
-5*(r - 3)*(r - 2)**2*(r + 90)
Solve -2*d**5 - 504*d**4 + 1030*d**3 + 3516*d**2 - 10136*d + 6096 = 0 for d.
-254, -3, 1, 2
What is n in -5*n**3 - 40*n**2 + 55*n + 90 = 0?
-9, -1, 2
Factor 3*l**2 - 453*l + 894.
3*(l - 149)*(l - 2)
Find u such that -u**5/5 + 38*u**4/5 - 64*u**3 - 160*u**2 = 0.
-2, 0, 20
Solve p**3 - 13*p**2 + 47*p - 35 = 0.
1, 5, 7
Determine m so that 3*m**3 + 264*m**2 - 267*m = 0.
-89, 0, 1
Let -3*d**3/5 - 3*d**2/5 + 18*d/5 = 0. Calculate d.
-3, 0, 2
Determine q, given that -q**5/2 - 12*q**4 - 105*q**3 - 400*q**2 - 1125*q/2 = 0.
-9, -5, 0
Factor -4*n**4 - 192*n**3 + 396*n**2 - 200*n.
-4*n*(n - 1)**2*(n + 50)
Find k, given that -k**5/2 + 9*k**4/2 - 7*k**3/2 - 9*k**2/2 + 4*k = 0.
-1, 0, 1, 8
Suppose -f**3/3 + 19*f**2/3 + 64*f/3 + 44/3 = 0. Calculate f.
-2, -1, 22
Factor -l**5/5 - 8*l**4/5 - 18*l**3/5 - 16*l**2/5 - l.
-l*(l + 1)**3*(l + 5)/5
Let -4*i**4 + 8*i**3 - 4*i**2 = 0. Calculate i.
0, 1
Factor -2*k**4/3 - 10*k**3/3 - 6*k**2 - 14*k/3 - 4/3.
-2*(k + 1)**3*(k + 2)/3
Let 2*a**3 - 56*a**2/3 + 6*a = 0. What is a?
0, 1/3, 9
Factor -5*d**3/2 - 95*d**2/2 - 225*d - 180.
-5*(d + 1)*(d + 6)*(d + 12)/2
Factor p**3 + 31*p**2 + 95*p - 2527.
(p - 7)*(p + 19)**2
Solve -5*f**3/4 + 55*f**2 + 455*f/4 +