
Factor 3*s**3/2 + 183*s**2/2 + 1800*s + 11232.
3*(s + 13)*(s + 24)**2/2
Factor -8*p**4 + 14*p**3 - 4*p**2 - 2*p.
-2*p*(p - 1)**2*(4*p + 1)
Let -q**5/4 - 5*q**4 + 14*q**3 + 139*q**2/2 + 313*q/4 + 55/2 = 0. Calculate q.
-22, -1, 5
Suppose -2*q**2 - 2*q + 60 = 0. Calculate q.
-6, 5
Let d**4/6 - 5*d**3/3 + 5*d**2/2 + 25*d/3 - 28/3 = 0. Calculate d.
-2, 1, 4, 7
Let 4*m**2 + 4872*m + 4868 = 0. Calculate m.
-1217, -1
Factor -2*b**2 + 1474*b + 1476.
-2*(b - 738)*(b + 1)
Factor 4*z**2/3 + 104*z/3 + 676/3.
4*(z + 13)**2/3
Find w such that -w**4/6 + 4*w**3/3 + 9*w**2/2 - 37*w/3 + 20/3 = 0.
-4, 1, 10
Factor 3*b**3/2 + 27*b**2/2 - 6*b - 54.
3*(b - 2)*(b + 2)*(b + 9)/2
Find j such that -3*j**3/7 + 61*j**2/7 - 18*j/7 - 40/7 = 0.
-2/3, 1, 20
Solve 16*a**5/5 + 72*a**4/5 - 559*a**3/5 - 933*a**2/5 - 72*a = 0.
-8, -3/4, 0, 5
Suppose -2*a**3/7 + 78*a**2/7 - 220*a/7 + 144/7 = 0. Calculate a.
1, 2, 36
Determine k so that 2*k**3 + 302*k**2 + 11550*k + 11250 = 0.
-75, -1
Find w such that -3*w**5 - 3*w**4 + 15*w**3 + 15*w**2 - 12*w - 12 = 0.
-2, -1, 1, 2
Solve -20*o**5 - 48*o**4 + 44*o**3 + 24*o**2 = 0.
-3, -2/5, 0, 1
Determine d, given that -15*d**5 - 170*d**4 - 205*d**3 - 50*d**2 = 0.
-10, -1, -1/3, 0
Factor -2*p**4 - 24*p**3 + 236*p**2 - 552*p + 342.
-2*(p - 3)**2*(p - 1)*(p + 19)
Find d, given that -16*d**3 - 26*d**2 + 12*d = 0.
-2, 0, 3/8
Factor 3*q**3/4 - 81*q**2/4 + 162*q - 324.
3*(q - 12)**2*(q - 3)/4
Factor 2*r**3/9 - 16*r**2/9 + 14*r/9.
2*r*(r - 7)*(r - 1)/9
Factor x**4 + 148*x**3 + 4516*x**2 - 71040*x + 230400.
(x - 6)**2*(x + 80)**2
Determine k, given that k**2 + 568*k + 567 = 0.
-567, -1
What is n in 2*n**5/11 + 80*n**4/11 + 800*n**3/11 = 0?
-20, 0
Suppose 5*r**2/3 - 905*r/3 + 890 = 0. Calculate r.
3, 178
What is x in 2*x**3/9 + 14*x**2/3 - 2*x/9 - 14/3 = 0?
-21, -1, 1
Factor 5*r**5 + 15*r**4 - 5*r**3 - 15*r**2.
5*r**2*(r - 1)*(r + 1)*(r + 3)
Let h**4 + 19*h**3 + 112*h**2 + 156*h - 288 = 0. Calculate h.
-8, -6, 1
Find z such that -z**5 + 26*z**4/3 - 79*z**3/3 + 36*z**2 - 68*z/3 + 16/3 = 0.
2/3, 1, 2, 4
Factor -q**3 + 18*q**2 - 69*q + 52.
-(q - 13)*(q - 4)*(q - 1)
Factor 3*i**4 + 2598*i**3 + 562464*i**2 - 2598*i - 562467.
3*(i - 1)*(i + 1)*(i + 433)**2
Solve 2*m**3/7 + 340*m**2/7 - 98*m + 344/7 = 0.
-172, 1
Let 4*q**5 + 24*q**4 + 12*q**3 - 40*q**2 = 0. Calculate q.
-5, -2, 0, 1
What is n in -n**3/6 - n**2/2 + n + 4/3 = 0?
-4, -1, 2
Solve -2*a**4/7 + 10*a**3/7 + 44*a**2/7 - 232*a/7 + 240/7 = 0 for a.
-5, 2, 6
Factor -3*d**2 - 2109*d + 4230.
-3*(d - 2)*(d + 705)
Solve h**4 - 36*h**3 + 235*h**2 + 1800*h - 2000 = 0 for h.
-5, 1, 20
Find k such that -3*k**2/4 + 84*k - 981/4 = 0.
3, 109
Factor -24*j**3 + 45*j**2 + 6*j.
-3*j*(j - 2)*(8*j + 1)
Factor -5*x**2 + 2080*x.
-5*x*(x - 416)
Solve -54*h**5 + 2268*h**4 - 4392*h**3 + 2900*h**2 - 802*h + 80 = 0 for h.
1/3, 1, 40
Find s, given that -s**4 - 2357*s**3/2 - 925515*s**2/2 - 120933567*s/2 + 60698457/2 = 0.
-393, 1/2
Factor -3*m**2/4 + 435*m/4 + 219/2.
-3*(m - 146)*(m + 1)/4
Factor 2*r**2/5 - 1828*r/5 + 417698/5.
2*(r - 457)**2/5
Determine g so that -g**5/8 - 423*g**4/8 - 21599*g**3/4 + 165447*g**2/4 + 789695*g/8 + 416025/8 = 0.
-215, -1, 9
Solve 2*f**4/5 + 14*f**3/5 - 2*f**2/5 - 14*f/5 = 0.
-7, -1, 0, 1
Factor -5*y**4 + 55*y**3 - 110*y**2 - 300*y + 360.
-5*(y - 6)**2*(y - 1)*(y + 2)
Factor -x**2/11 - 134*x/11.
-x*(x + 134)/11
What is f in -2*f**3/7 + 4*f**2/7 + 2*f/7 - 4/7 = 0?
-1, 1, 2
Suppose 36*l**4/5 - 1628*l**3/5 - 1296*l**2/5 + 368*l/5 = 0. What is l?
-1, 0, 2/9, 46
Factor 2500*g**4/3 + 16000*g**3 + 115200*g**2 + 368640*g + 442368.
4*(5*g + 24)**4/3
Factor w**4/5 + 47*w**3 - 723*w**2/5 - 2147*w/5 - 238.
(w - 5)*(w + 1)**2*(w + 238)/5
Factor 3*u**3 + 312*u**2.
3*u**2*(u + 104)
Let 6*c**2/23 - 10*c/23 + 4/23 = 0. What is c?
2/3, 1
Factor -289*q**3/4 + 1139*q**2/2 - 1475*q + 1250.
-(q - 2)*(17*q - 50)**2/4
Solve 3*o**3/4 + 21*o**2/4 + 15*o/2 = 0.
-5, -2, 0
Determine s, given that s**5/7 + 13*s**4/7 + 5*s**3/7 - 97*s**2/7 - 162*s/7 - 72/7 = 0.
-12, -2, -1, 3
Factor -3*w**4/7 + 18*w**3/7 + 45*w**2/7 + 24*w/7.
-3*w*(w - 8)*(w + 1)**2/7
Solve 3*m**5/8 - 15*m**4/8 - 33*m**3/4 + 21*m**2 = 0.
-4, 0, 2, 7
Solve 238*t**2 - 4*t = 0.
0, 2/119
Factor -2*p**4/5 + 264*p**3/5 - 11616*p**2/5 + 170368*p/5.
-2*p*(p - 44)**3/5
What is f in 20*f**3/7 + 116*f**2/7 - 27*f/7 - 18/7 = 0?
-6, -3/10, 1/2
Solve -4*y**3/3 + 4*y**2/3 + 64*y/3 + 80/3 = 0 for y.
-2, 5
Find p such that p**2 - 48*p + 576 = 0.
24
Factor -3*j**2 + 51*j + 252.
-3*(j - 21)*(j + 4)
Factor -2*w**2/13 + 100*w/13 - 450/13.
-2*(w - 45)*(w - 5)/13
Factor -4*v**4 - 16*v**3 + 4*v**2 + 16*v.
-4*v*(v - 1)*(v + 1)*(v + 4)
Factor 3*a**4/7 + 15*a**3/7 - 54*a**2/7 - 60*a/7 + 24.
3*(a - 2)**2*(a + 2)*(a + 7)/7
Factor -4*u**4 - 12*u**3 + 4*u**2 + 12*u.
-4*u*(u - 1)*(u + 1)*(u + 3)
Let 20*k**3 + 3655*k**2 + 2730*k = 0. Calculate k.
-182, -3/4, 0
Solve -m**4/3 + 6*m**3 - 112*m**2/3 + 96*m - 256/3 = 0 for m.
2, 4, 8
Factor 2*t**3 + 8*t**2.
2*t**2*(t + 4)
Suppose 5*v**2/4 - 155*v/4 - 40 = 0. What is v?
-1, 32
Suppose h**2/4 - 21*h/2 - 46 = 0. What is h?
-4, 46
Solve -4*i**3/3 + 20*i**2 - 224*i/3 = 0 for i.
0, 7, 8
Factor l**4/7 - 11*l**3/7 - 12*l**2/7.
l**2*(l - 12)*(l + 1)/7
Determine c, given that -22*c**3/3 + 9*c**2 = 0.
0, 27/22
Find u, given that 3*u**3 - 12*u**2 + 9*u = 0.
0, 1, 3
Solve -3*n**3/5 - 177*n**2/5 - 168*n/5 + 348/5 = 0 for n.
-58, -2, 1
Find t, given that t**2 + 220*t + 219 = 0.
-219, -1
What is v in -2*v**2 - 16*v - 32 = 0?
-4
Factor -10*q**2/3 - 55*q/3 + 10.
-5*(q + 6)*(2*q - 1)/3
Determine r, given that -12*r**3/7 + 19857*r**2/7 - 14883*r/7 - 4962/7 = 0.
-1/4, 1, 1654
Factor -g**3/4 - 151*g**2/4 - 1406*g + 1444.
-(g - 1)*(g + 76)**2/4
Factor -8*w**2/7 + 1276*w/7 + 1284/7.
-4*(w + 1)*(2*w - 321)/7
Factor -p**2/8 - 13*p - 338.
-(p + 52)**2/8
Solve 5*c**4 - 155*c**3 + 1000*c**2 - 1840*c = 0.
0, 4, 23
Factor 6075*k**2 + 540*k + 12.
3*(45*k + 2)**2
Determine x, given that 2*x**2 - 46*x + 224 = 0.
7, 16
Solve -3*p**2/7 + 12*p + 495/7 = 0 for p.
-5, 33
Factor -4*l**4 + 40*l**3 - 36*l**2.
-4*l**2*(l - 9)*(l - 1)
Let -3*v**5 + 3*v**4 + 9*v**3 - 15*v**2 + 6*v = 0. What is v?
-2, 0, 1
Factor g**4 - 5*g**3 + 6*g**2.
g**2*(g - 3)*(g - 2)
Let -p**4 - 3*p**3 + 5*p**2 + 3*p - 4 = 0. Calculate p.
-4, -1, 1
Solve -2*q**2/5 + 42*q/5 + 44/5 = 0.
-1, 22
Solve 2*d**5/7 + 58*d**4/7 + 590*d**3/7 + 346*d**2 + 3296*d/7 + 1408/7 = 0.
-11, -8, -1
Let 3*h**2/4 + 789*h/2 + 207507/4 = 0. What is h?
-263
Suppose -n**5/10 + 2*n**4/5 + 91*n**3/10 - 49*n**2 = 0. Calculate n.
-10, 0, 7
Let k**2 + k - 2 = 0. Calculate k.
-2, 1
Determine t, given that 2*t**4 - 22*t**3 - 704*t**2 - 1928*t - 1248 = 0.
-12, -2, -1, 26
What is q in 86490*q**3 - 13485*q**2 - 12320*q - 1280 = 0?
-16/93, 1/2
Find t such that -2*t**3/7 + 816*t**2/7 + 1646*t/7 - 2460/7 = 0.
-3, 1, 410
Suppose 5*s**5 + 5*s**4 - 35*s**3 - 65*s**2 - 30*s = 0. What is s?
-2, -1, 0, 3
Factor 4*i**4/7 - 16*i**3/7 - 12*i**2/7 + 72*i/7.
4*i*(i - 3)**2*(i + 2)/7
Factor -l**2 + 11*l - 28.
-(l - 7)*(l - 4)
Factor -l**3/4 - 199*l**2/4 - 99*l/2.
-l*(l + 1)*(l + 198)/4
Factor 5*m**3/3 - 2350*m**2/3 - 785*m.
5*m*(m - 471)*(m + 1)/3
Factor -17*w**3 - 190*w**2 - 203*w - 30.
-(w + 1)*(w + 10)*(17*w + 3)
Suppose 16*u**4 - 104*u**3 + 225*u**2 - 189*u + 54 = 0. What is u?
3/4, 2, 3
Factor -3*s**2 - 9*s + 1134.
-3*(s - 18)*(s + 21)
Find o such that -5*o**2 - 40*o - 35 = 0.
-7, -1
Factor 2*a**5 + 8*a**4 + 4*a**3 - 8*a**2 - 6*a.
2*a*(a - 1)*(a + 1)**2*(a + 3)
Solve 12*x**5 + 148*x**4 - 548*x**3 - 1012*x**2 + 152*x + 480 = 0 for x.
-15, -1, 2/3, 4
Let -d**4/5 + 16*d**3/5 - 27*d**2/5 - 16*d/5 + 28/5 = 0. Calculate d.
-1, 1, 2, 14
Suppose -125*n**5 + 1750*n**4 + 4015*n**3 - 208*n**2 - 508*n - 64 = 0. Calculate n.
-2, -1/5, 2/5, 16
Factor 5*p**2/3 - 86*p/3 - 280/3.
(p - 20)*(5*p + 14)/3
Factor a**4 + 65*a**3 + 1023*a**2 + 4235*a - 5324.
(a - 1)*(a + 11)**2*(a + 44)
Determine o so that 3*o**3 + 432*o**2 + 855*o + 426 = 0.
-142, -1
Factor -245*j**4/2 + 3010*j**3 - 19330*j**2 + 10320*j - 1440.
-5*(j - 12)**2*(7*j - 2)**2/2
Factor 2*g**2/3 - 14*g/3 + 8.
2*(g - 4)*(g - 3)/3
Factor 4*x**4 - 40*x**3 - 48*x**2 + 40*x + 44.
4*(x - 11)*(x - 1)*(x + 1)**2
Determine v so that 126025*v**5/4 - 1888955*v**4/4 + 9430579*v**3/4 - 15646685*v**2/4 - 44300*v - 125 = 0.
-2/355, 5
Factor 