r -c**3/11 - 149*c**2/11.
-c**2*(c + 149)/11
Factor 44*r**3/5 - 36*r**2/5 - 96*r/5 - 16/5.
4*(r - 2)*(r + 1)*(11*r + 2)/5
Determine c so that 48*c**5 + 40*c**4 - 29*c**3 + 4*c**2 = 0.
-4/3, 0, 1/4
Suppose 2*h**4/9 - 58*h**3/9 + 12*h**2 = 0. Calculate h.
0, 2, 27
Suppose c**3/9 - 10*c**2/9 - 13*c/9 + 22/9 = 0. Calculate c.
-2, 1, 11
Factor 2*n**2 - 136*n.
2*n*(n - 68)
Factor -2*c**3/9 - 4*c**2/9 + 2*c/9 + 4/9.
-2*(c - 1)*(c + 1)*(c + 2)/9
Suppose -4*x**3 - 32*x**2 + 316*x - 280 = 0. What is x?
-14, 1, 5
Factor -15*w**3 - 3*w**2 + 42*w - 24.
-3*(w - 1)*(w + 2)*(5*w - 4)
Factor 289*y**3/8 + 901*y**2/4 + 103*y/2 + 3.
(y + 6)*(17*y + 2)**2/8
Solve -2*r**5 - 10*r**4 - 6*r**3 + 34*r**2 + 56*r + 24 = 0.
-3, -2, -1, 2
Suppose -p**3/4 + 5*p**2/4 - 3*p/2 = 0. Calculate p.
0, 2, 3
Find c such that -7*c**5/3 - 142*c**4/3 - 11*c**3 + 142*c**2/3 + 40*c/3 = 0.
-20, -1, -2/7, 0, 1
Let p**3/2 - 335*p**2/6 + 221*p/6 + 37/2 = 0. Calculate p.
-1/3, 1, 111
Factor -2*p**2 + 14*p + 16.
-2*(p - 8)*(p + 1)
Determine u so that -2*u**3/5 + 12*u**2/5 + 9102*u/5 + 43808 = 0.
-37, 80
Factor -2*h**2 + 96*h + 896.
-2*(h - 56)*(h + 8)
Solve -3*v**2 - 1404*v + 2820 = 0 for v.
-470, 2
Let -p**4 - 4*p**3 - p**2 + 6*p = 0. What is p?
-3, -2, 0, 1
Solve -h**3 - 5*h**2 + 8*h + 12 = 0 for h.
-6, -1, 2
Find h such that -h**5/2 - 3*h**4 + 15*h**3 + 10*h**2 - 69*h/2 - 27 = 0.
-9, -1, 2, 3
Determine a, given that 4*a**3/3 + 716*a**2/3 = 0.
-179, 0
Determine c so that 5*c**3 + 48*c**2 - 140*c + 48 = 0.
-12, 2/5, 2
Factor 5*u**2 + 40*u.
5*u*(u + 8)
Factor k**3/2 - 4*k**2 + 6*k.
k*(k - 6)*(k - 2)/2
Factor -4*l**2/5 + 28*l/5 + 96.
-4*(l - 15)*(l + 8)/5
Solve -2*v**4 + 186*v**3 + 190*v**2 - 186*v - 188 = 0.
-1, 1, 94
What is w in -2*w**2 - 1344*w - 225792 = 0?
-336
Factor -25*m**2 + 610*m - 240.
-5*(m - 24)*(5*m - 2)
Factor -5*c**5 - 800*c**4.
-5*c**4*(c + 160)
Factor -2*z**2/13 - 84*z/13 - 882/13.
-2*(z + 21)**2/13
Factor -i**3/5 - 296*i**2/5 + i/5 + 296/5.
-(i - 1)*(i + 1)*(i + 296)/5
Suppose -y**3 - 139*y**2 - 4760*y + 4900 = 0. Calculate y.
-70, 1
Suppose -4*m**5/5 + 8*m**4/5 + 96*m**3/5 - 448*m**2/5 + 704*m/5 - 384/5 = 0. What is m?
-6, 2
Determine r so that r**4/8 - 89*r**3/2 + 15663*r**2/4 + 15931*r/2 + 32041/8 = 0.
-1, 179
Solve 39*h**4/5 + 165*h**3 + 87*h**2/5 - 165*h - 126/5 = 0 for h.
-21, -1, -2/13, 1
Factor 2*z**5 + 2*z**4 - 10*z**3 + 6*z**2.
2*z**2*(z - 1)**2*(z + 3)
Let 2*v**4/11 - 12*v**3/11 - 94*v**2/11 + 336*v/11 + 1568/11 = 0. What is v?
-4, 7
Let 2*q**3 + 418*q**2 - 842*q + 422 = 0. Calculate q.
-211, 1
Factor -x**2 + 38*x - 72.
-(x - 36)*(x - 2)
Factor -20*f**2 - 168*f.
-4*f*(5*f + 42)
Suppose -4*i**2 - 228*i - 848 = 0. What is i?
-53, -4
Let -2*d**2/3 - 146*d + 5060/3 = 0. What is d?
-230, 11
Factor 3*a**2 - 4572*a + 1741932.
3*(a - 762)**2
Factor v**3 + 17*v**2 + 80*v + 64.
(v + 1)*(v + 8)**2
Suppose 3*u**4/2 - 21*u**3/2 + 3*u**2 + 42*u - 36 = 0. What is u?
-2, 1, 2, 6
Determine x, given that x**4/4 - 7*x**3 + 127*x**2/2 - 203*x + 585/4 = 0.
1, 5, 9, 13
Determine l so that -2*l**5 + 12*l**4 + 32*l**3 + 4*l**2 - 30*l - 16 = 0.
-1, 1, 8
Factor -2*x**2 - 62*x - 116.
-2*(x + 2)*(x + 29)
Suppose -z**4/3 + 7*z**3/3 - 2*z**2 - 28*z/3 + 40/3 = 0. What is z?
-2, 2, 5
Factor -z**3/3 + 31*z**2 - 840*z + 5292.
-(z - 42)**2*(z - 9)/3
Determine u, given that -14*u**3/11 + 4*u**2/11 + 56*u/11 - 16/11 = 0.
-2, 2/7, 2
Find j, given that 27*j**5 - 255*j**4 + 1948*j**3/3 - 576*j**2 + 512*j/3 - 16 = 0.
2/9, 1, 2, 6
Factor 5*i**3 - 585*i**2 + 1710*i.
5*i*(i - 114)*(i - 3)
Factor 5*s**3/2 - 1625*s**2/2 - 1635*s.
5*s*(s - 327)*(s + 2)/2
Let 14*x**3/3 - 80*x**2 + 384*x - 1024/3 = 0. What is x?
8/7, 8
Factor -m**3 + 9*m**2 - 108.
-(m - 6)**2*(m + 3)
Solve 45*y**4 + 1360*y**3 + 10425*y**2 + 2250*y = 0 for y.
-15, -2/9, 0
What is j in 2*j**5/23 + 22*j**4/23 + 18*j**3/23 - 238*j**2/23 + 196*j/23 = 0?
-7, 0, 1, 2
Factor -c**2 + 30*c + 259.
-(c - 37)*(c + 7)
Factor -4*u**4 + 64*u**3 + 328*u**2 - 5824*u - 6084.
-4*(u - 13)**2*(u + 1)*(u + 9)
Find v, given that v**5 - 21*v**4 - 114*v**3 + 3320*v**2 - 2304*v - 18432 = 0.
-12, -2, 3, 16
Factor o**3/4 + 181*o**2/4 + 45*o.
o*(o + 1)*(o + 180)/4
Factor -20*i**3 - 5*i**2 + 55*i - 30.
-5*(i - 1)*(i + 2)*(4*i - 3)
Let -2*c**2 - 378*c = 0. What is c?
-189, 0
Factor -y**5 - 7*y**4 - 17*y**3 - 17*y**2 - 6*y.
-y*(y + 1)**2*(y + 2)*(y + 3)
Factor -2*l**3/7 + 40*l**2/7 - 234*l/7 + 324/7.
-2*(l - 9)**2*(l - 2)/7
Factor -5*z**2 + 660*z + 2025.
-5*(z - 135)*(z + 3)
Determine u so that 2*u**3 + 54*u**2 - 378*u + 594 = 0.
-33, 3
Let -5*j**4 + 10*j**3 + 435*j**2 + 1800*j + 2160 = 0. What is j?
-4, -3, 12
Solve -45*c**5/7 + 264*c**4/7 - 9*c**3/7 - 1086*c**2/7 - 864*c/7 - 96/7 = 0.
-1, -2/15, 4
Factor -2*h**4 + 14*h**3 - 22*h**2 + 10*h.
-2*h*(h - 5)*(h - 1)**2
Suppose 3*c**3/8 - 27*c**2/8 - 51*c/4 - 9 = 0. Calculate c.
-2, -1, 12
Factor -722*i**2/3 + 152*i/3 - 8/3.
-2*(19*i - 2)**2/3
Solve -4*q**5 - 52*q**4 + 492*q**3 - 1292*q**2 + 1336*q - 480 = 0 for q.
-20, 1, 2, 3
Factor -20*v**3 + 4*v**2 + 232*v + 288.
-4*(v - 4)*(v + 2)*(5*v + 9)
Factor r**5/5 - 6*r**3/5 + 8*r**2/5 - 3*r/5.
r*(r - 1)**3*(r + 3)/5
Determine k, given that -49*k**5 + 1050*k**4 - 4484*k**3 + 3448*k**2 + 3168*k + 512 = 0.
-2/7, 2, 4, 16
Solve -2*z**5/9 + 4*z**4/9 + 22*z**3/9 - 8*z**2/3 - 8*z = 0 for z.
-2, 0, 3
Factor -w**3 - 19*w**2 - 104*w - 176.
-(w + 4)**2*(w + 11)
Suppose 4*n**4 + 152*n**3 + 420*n**2 = 0. Calculate n.
-35, -3, 0
Factor c**2/2 + 99*c/2 + 49.
(c + 1)*(c + 98)/2
Factor i**2/2 + 100*i + 199/2.
(i + 1)*(i + 199)/2
What is i in -2*i**3/21 - 72*i**2/7 - 142*i/7 - 212/21 = 0?
-106, -1
Solve -4*s**3 + 108*s**2 = 0 for s.
0, 27
Factor -c**3/7 + 164*c**2/7 + 1011*c/7 + 1530/7.
-(c - 170)*(c + 3)**2/7
Factor 2*j**5/7 + 32*j**4/7 + 146*j**3/7 + 36*j**2/7 - 648*j/7 + 432/7.
2*(j - 1)**2*(j + 6)**3/7
Factor 3*h**4 - 5*h**3 - 47*h**2 + 93*h + 36.
(h - 3)**2*(h + 4)*(3*h + 1)
Factor -3*w**4 - 9*w**3 - 6*w**2.
-3*w**2*(w + 1)*(w + 2)
Solve 2*t**3 + 26*t**2 + 44*t = 0 for t.
-11, -2, 0
Factor -6*l**2/7 - 66*l.
-6*l*(l + 77)/7
Suppose 45*s**5 - 174*s**4 - 2769*s**3 - 7746*s**2 - 6924*s - 792 = 0. Calculate s.
-3, -2, -2/15, 11
Factor 35*r**4 + 45*r**3 + 10*r**2.
5*r**2*(r + 1)*(7*r + 2)
Solve -3*k**2 + 1083 = 0 for k.
-19, 19
Suppose -72*b**5 - 294*b**4 - 237*b**3 - 6*b**2 + 9*b = 0. What is b?
-3, -1, -1/4, 0, 1/6
Suppose -2*o**5/5 - 22*o**4/5 + 22*o**3 - 146*o**2/5 + 12*o = 0. Calculate o.
-15, 0, 1, 2
Solve -2*z**4 - 28*z**3 - 26*z**2 = 0 for z.
-13, -1, 0
Let -16*b**5 + 11452*b**4 - 8576*b**3 - 2860*b**2 = 0. Calculate b.
-1/4, 0, 1, 715
Factor -4*l**2 + 16*l + 84.
-4*(l - 7)*(l + 3)
Suppose -8*p**3 + 552*p**2 + 558*p + 140 = 0. What is p?
-1/2, 70
Suppose -2*a**3/3 + 34*a**2/3 + 178*a/3 - 70 = 0. What is a?
-5, 1, 21
Factor 4*t**5 - 120*t**4 - 520*t**3 - 800*t**2 - 540*t - 136.
4*(t - 34)*(t + 1)**4
Suppose -4*j**3 - 228*j**2 - 224*j = 0. Calculate j.
-56, -1, 0
Determine m, given that m**4/8 + 13*m**3/8 + 33*m**2/8 - 77*m/8 - 49/4 = 0.
-7, -1, 2
Factor -5*d**2 - 35*d - 50.
-5*(d + 2)*(d + 5)
Determine d so that 5*d**5 - 510*d**4 + 2460*d**3 - 3410*d**2 + 1455*d = 0.
0, 1, 3, 97
Find o, given that 2*o**5 + 10*o**4 - 132*o**3 + 392*o**2 - 464*o + 192 = 0.
-12, 1, 2
Factor 4*i**4 + 160*i**3 + 592*i**2 + 576*i.
4*i*(i + 2)**2*(i + 36)
What is o in -2*o**4 - 10*o**3 - 12*o**2 = 0?
-3, -2, 0
Solve 1496450*y**2/7 - 3460*y/7 + 2/7 = 0.
1/865
Determine h so that -3*h**4/2 - 9*h**3 + 207*h**2/2 + 471*h + 360 = 0.
-10, -3, -1, 8
Factor 2*h**3 - 98*h**2.
2*h**2*(h - 49)
Suppose 12*w**3/5 + 62*w**2/5 - 62*w/5 - 12/5 = 0. Calculate w.
-6, -1/6, 1
Factor t**2 + 16372*t + 67010596.
(t + 8186)**2
Find k, given that k**4/7 + 5*k**3/7 - 20*k/7 - 16/7 = 0.
-4, -2, -1, 2
Factor -19*l**2/2 + 113*l + 12.
-(l - 12)*(19*l + 2)/2
Find z such that -55*z**5 + 265*z**4 - 280*z**3 - 280*z**2 + 400*z + 80 = 0.
-1, -2/11, 2
Let -i**5/6 + 13*i**4/6 + 37*i**3/2 - 293*i**2/6 - 815*i/3 + 300 = 0. Calculate i.
-5, 1, 4, 18
Factor s**4 - 33*s**3/7 + 32*s**2/7 + 12*s/7.
s*(s - 3)*(s - 2)*(7*s + 2)/7
Solve 7*q**5 - 30*q**4 + 43*q**3 - 24*q**2 + 4*q = 0 for q.
0, 2/7, 1, 2
Factor 4*r**4 + 216*r**3 + 4068*r**2 + 29808*r + 58320.
4*(r + 3)*(r + 15)*(r + 18)**2
Let 3*g**3/2 + 4*g**2 + 7*g/2 + 1 = 0. Calculate g.
-1, -2/3
Factor v**2 - 