(l + 43)**2
Factor -d**4 - 6*d**3 + d**2 + 30*d.
-d*(d - 2)*(d + 3)*(d + 5)
Factor 4*s**2 - 40*s - 1196.
4*(s - 23)*(s + 13)
Suppose 2*d**4/7 + 2*d**3 - 2064*d**2/7 + 22528*d/7 - 20480/7 = 0. Calculate d.
-40, 1, 16
Factor 6*h**2/5 + 18*h/5 - 24/5.
6*(h - 1)*(h + 4)/5
Factor -2*w**2 - 12*w + 14.
-2*(w - 1)*(w + 7)
Factor n**4 - 86*n**3 + 2520*n**2 - 26656*n + 43904.
(n - 28)**3*(n - 2)
Solve -285*l**2 - 295*l - 10 = 0 for l.
-1, -2/57
Suppose -64*o**3 + 416*o**2 + 924*o - 7056 = 0. What is o?
-4, 21/4
Suppose -4*c**2 + 368*c - 8464 = 0. Calculate c.
46
Solve -3*s**4/4 + 573*s**3/4 + 4125*s**2/4 + 6519*s/4 + 1485/2 = 0 for s.
-5, -1, 198
Suppose 100*z**5 + 708*z**4 + 1856*z**3 + 2144*z**2 + 960*z + 64 = 0. Calculate z.
-2, -1, -2/25
Determine f, given that -f**2 - 6198*f - 9603801 = 0.
-3099
Factor l**3/3 - 46*l**2/3 - l/3 + 46/3.
(l - 46)*(l - 1)*(l + 1)/3
What is l in 5*l**3 + 5*l**2 - 405*l - 405 = 0?
-9, -1, 9
Find c such that c**2 + 48*c = 0.
-48, 0
Suppose l**3/7 + 2*l**2 - 32*l/7 = 0. What is l?
-16, 0, 2
Factor 2*s**3/7 + 16*s**2/7 - 18*s/7.
2*s*(s - 1)*(s + 9)/7
Find m, given that -2*m**2 - 46*m - 44 = 0.
-22, -1
Factor 6*q**3/7 + 972*q**2/7 - 990*q/7 - 1956/7.
6*(q - 2)*(q + 1)*(q + 163)/7
Factor -2*s**2/7 + 6680*s/7 - 5577800/7.
-2*(s - 1670)**2/7
What is s in -2*s**5 - 10*s**4 + 72*s**3 = 0?
-9, 0, 4
Determine h so that 2*h**2 + 120*h + 1800 = 0.
-30
Factor 2*v**2 - 42*v - 324.
2*(v - 27)*(v + 6)
Factor 5662*b**3/3 - 2*b**2.
2*b**2*(2831*b - 3)/3
Find t, given that 3*t**3 - 258*t**2 - 525*t - 264 = 0.
-1, 88
Factor 2*b**2/3 + 44*b/3 - 272.
2*(b - 12)*(b + 34)/3
Find s, given that 31*s**2 - 60*s - 4 = 0.
-2/31, 2
Let -20*t**5 + 372*t**4 - 1828*t**3 + 828*t**2 + 648*t = 0. Calculate t.
-2/5, 0, 1, 9
Factor -w**2 - 11*w + 126.
-(w - 7)*(w + 18)
Let -n**2/6 - 899*n/3 - 808201/6 = 0. What is n?
-899
Find t, given that 4*t**2/5 + 312*t/5 + 1728/5 = 0.
-72, -6
Determine q so that -4*q**2 - 76*q = 0.
-19, 0
Solve -f**3/3 + 13*f**2/3 - 23*f/3 + 11/3 = 0 for f.
1, 11
Factor g**2/3.
g**2/3
Find n, given that 3*n**4 + 694*n**3 + 1608*n**2 + 1146*n + 229 = 0.
-229, -1, -1/3
Factor 2*p**2/7 + 74*p/7 + 20.
2*(p + 2)*(p + 35)/7
Find p such that -2*p**3 + 634*p**2 - 50560*p + 49928 = 0.
1, 158
What is h in -2*h**2 - 126*h - 880 = 0?
-55, -8
What is g in -4*g**5 - 8*g**4 + 20*g**3 + 24*g**2 = 0?
-3, -1, 0, 2
Factor -u**2/4 + 49*u/4.
-u*(u - 49)/4
Determine r so that 3*r**2 + 60*r - 468 = 0.
-26, 6
Let 5*v**3 + 415*v**2 - 850*v = 0. What is v?
-85, 0, 2
Let -3*d**2 - 141*d - 738 = 0. Calculate d.
-41, -6
Determine g so that g**3/4 + g**2/2 + g/4 = 0.
-1, 0
Find i such that -i**5/5 + 7*i**4/5 + 9*i**3/5 - 7*i**2/5 - 8*i/5 = 0.
-1, 0, 1, 8
Factor -5*z**3 - 1890*z**2 - 238140*z - 10001880.
-5*(z + 126)**3
Factor -5*v**2 + 150*v + 320.
-5*(v - 32)*(v + 2)
Factor -q**2/4 - 77*q/4 + 39/2.
-(q - 1)*(q + 78)/4
What is x in -x**5 + x**4 + 2*x**3 = 0?
-1, 0, 2
Let -2*h**2 - 14700*h - 27011250 = 0. Calculate h.
-3675
Factor -4*z**3 - 424*z**2 - 421*z - 105.
-(z + 105)*(2*z + 1)**2
Factor u**2/7 + 5*u/7 + 6/7.
(u + 2)*(u + 3)/7
Factor -2*q**5/21 + 52*q**4/21 + 110*q**3/21 + 8*q**2/3.
-2*q**2*(q - 28)*(q + 1)**2/21
Suppose 9*q**5 - 66*q**4 - 816*q**3 + 2106*q**2 - 1545*q + 312 = 0. What is q?
-8, 1/3, 1, 13
Factor -f**2/4 + 47*f - 2209.
-(f - 94)**2/4
Factor 2*o**3/3 + 8*o**2 + 10*o/3 - 44.
2*(o - 2)*(o + 3)*(o + 11)/3
Determine v so that 507*v**3 + 17082*v**2 - 5292*v + 408 = 0.
-34, 2/13
Factor 3*q**3/2 - 131*q**2/4 + 513*q/4 - 85.
(q - 17)*(q - 4)*(6*q - 5)/4
Suppose -h**3/10 + 47*h**2/5 + 97*h/10 - 19 = 0. What is h?
-2, 1, 95
Suppose 2*h**5/7 - 4*h**4/7 - 4*h**3/7 + 8*h**2/7 + 2*h/7 - 4/7 = 0. What is h?
-1, 1, 2
Factor b**2 + 286*b + 285.
(b + 1)*(b + 285)
Let 12*t**5 + 44*t**4 - 72*t**3 - 296*t**2 + 60*t + 252 = 0. Calculate t.
-3, -1, 1, 7/3
Factor 3*b**3 - 429*b**2 + 1668*b.
3*b*(b - 139)*(b - 4)
Solve -5*a**2 + 810*a + 5040 = 0.
-6, 168
Suppose -9*c**5 + 939*c**4 + 1602*c**3 - 1260*c**2 - 1272*c = 0. What is c?
-2, -2/3, 0, 1, 106
Suppose -2*m**5 + 6*m**4 + 20*m**3 - 40*m**2 - 48*m + 64 = 0. What is m?
-2, 1, 2, 4
What is a in -a**5 + 17*a**4 + 26*a**3 - 132*a**2 - 216*a = 0?
-2, 0, 3, 18
Solve -3*m**2/4 - 1749*m/4 + 438 = 0.
-584, 1
Factor q**3 - 107*q**2 - q + 107.
(q - 107)*(q - 1)*(q + 1)
Factor -p**3/2 - p**2 + 3*p/2.
-p*(p - 1)*(p + 3)/2
Factor s**5/3 + 89*s**4/3 + 1022*s**3 + 16758*s**2 + 126567*s + 324135.
(s + 5)*(s + 21)**4/3
Solve -2*q**2/17 - 752*q/17 - 70688/17 = 0 for q.
-188
Factor 3*g**4 - 12*g**3 - 33*g**2 - 18*g.
3*g*(g - 6)*(g + 1)**2
Solve 3*d**5/8 + 3*d**4/2 - 39*d**3/2 - 87*d**2/4 + 153*d/8 + 81/4 = 0 for d.
-9, -1, 1, 6
Determine u so that -4*u**5/7 - 124*u**4/7 + 264*u**3/7 - 8*u**2/7 - 260*u/7 + 132/7 = 0.
-33, -1, 1
Factor -3*o**4 + 18*o**3 - 39*o**2 + 36*o - 12.
-3*(o - 2)**2*(o - 1)**2
Factor x**2/11 + 38*x/11 + 280/11.
(x + 10)*(x + 28)/11
Solve i**2 + 1269*i - 1270 = 0.
-1270, 1
Factor 3*u**2 + 24*u + 45.
3*(u + 3)*(u + 5)
Determine g, given that -2*g**4/3 - 26*g**3 - 634*g**2/3 + 826*g - 588 = 0.
-21, 1, 2
Factor 4*x**4 + 52*x**3 - 4*x**2 - 52*x.
4*x*(x - 1)*(x + 1)*(x + 13)
Factor r**2/4 - 11*r/4 + 7.
(r - 7)*(r - 4)/4
Let 2*r**4/5 - 38*r**3/5 - 90*r**2 + 486*r/5 = 0. What is r?
-9, 0, 1, 27
Suppose -l**4/2 + 73*l**3/2 + 387*l**2/2 + 243*l/2 - 351 = 0. Calculate l.
-3, 1, 78
Factor -3*y**3 - 45*y**2 + 102*y.
-3*y*(y - 2)*(y + 17)
Determine a so that -a**3/6 - 9*a**2 - 623*a/6 - 95 = 0.
-38, -15, -1
Factor -3*v**2 - 93*v - 174.
-3*(v + 2)*(v + 29)
Determine p, given that p**4/2 - p**3/2 - p**2 = 0.
-1, 0, 2
Let -10*p**5 + 42*p**4 - 40*p**3 - 24*p**2 + 32*p = 0. Calculate p.
-4/5, 0, 1, 2
Find w, given that -162*w**5 - 2358*w**4 - 4112*w**3 + 23568*w**2 - 9760*w + 1056 = 0.
-11, -6, 2/9, 2
Factor -3*z**2 - 61*z - 20.
-(z + 20)*(3*z + 1)
Solve a**5 - 3*a**4 - 13*a**3 + 39*a**2 + 36*a - 108 = 0.
-3, -2, 2, 3
Solve 4*q**2 - 628*q = 0.
0, 157
Find h, given that 10*h**2 + 85*h + 40 = 0.
-8, -1/2
Let 12*k**4 - 2*k**3 - 16*k**2 + 2*k + 4 = 0. Calculate k.
-1, -1/2, 2/3, 1
Factor q**5 + 45*q**4 - 8*q**3 - 360*q**2 + 16*q + 720.
(q - 2)**2*(q + 2)**2*(q + 45)
Factor -3*y**3/7 - 132*y**2/7 - 1311*y/7 + 3174/7.
-3*(y - 2)*(y + 23)**2/7
Let -w**3 - 59*w**2 - 58*w = 0. What is w?
-58, -1, 0
Factor -w**2 + 16*w + 57.
-(w - 19)*(w + 3)
Find t such that -3*t**2 - 171*t - 636 = 0.
-53, -4
Factor 5*g**3 - 135*g**2 - 140*g.
5*g*(g - 28)*(g + 1)
What is v in -2*v**4/9 - 20*v**3/9 - 14*v**2/3 = 0?
-7, -3, 0
Factor -4*a**5 + 804*a**4 - 39180*a**3 - 122404*a**2 - 124032*a - 41616.
-4*(a - 102)**2*(a + 1)**3
Find r, given that 3*r**4 + 36*r**3 - 234*r**2 + 348*r - 153 = 0.
-17, 1, 3
Suppose -2*q**3 - 48*q**2 + 162*q = 0. Calculate q.
-27, 0, 3
Solve 35*q**5 + 25*q**4 - 45*q**3 - 25*q**2 + 10*q = 0 for q.
-1, 0, 2/7, 1
Suppose 2*l**5/15 + 38*l**4/15 = 0. Calculate l.
-19, 0
Solve -3*z**2/5 + 22668*z/5 = 0 for z.
0, 7556
Find g, given that 4*g**5/5 + 86*g**4/5 + 88*g**3 - 242*g**2/5 = 0.
-11, 0, 1/2
Factor -t**3/3 - 144*t**2 - 15695*t - 92450/3.
-(t + 2)*(t + 215)**2/3
Determine z, given that -2*z**5/5 - 2*z**4/5 + 18*z**3/5 - 22*z**2/5 + 8*z/5 = 0.
-4, 0, 1
Factor -5*t**2 + 13530*t - 9153045.
-5*(t - 1353)**2
Factor -25*z**5 - 55*z**4 - 35*z**3 - 5*z**2.
-5*z**2*(z + 1)**2*(5*z + 1)
Factor 5*p**2 - 5895*p + 5890.
5*(p - 1178)*(p - 1)
Factor 2*p**2/3 + 172*p/3.
2*p*(p + 86)/3
Factor h**2 - 1744*h + 760384.
(h - 872)**2
Let 2*o**5/9 + 136*o**4/9 + 2144*o**3/9 - 6740*o**2/9 - 33250*o/9 - 24500/9 = 0. Calculate o.
-35, -2, -1, 5
Find m, given that 3*m**2/5 + 216*m/5 + 1536/5 = 0.
-64, -8
Let 2*k**2/7 - 468*k/7 + 27378/7 = 0. Calculate k.
117
Find d, given that -3*d**3/7 - 9*d**2/7 = 0.
-3, 0
Factor -m**4 - 21*m**3 - 125*m**2 - 291*m - 234.
-(m + 2)*(m + 3)**2*(m + 13)
Factor j**4 - 8*j**3 - 11*j**2 + 18*j.
j*(j - 9)*(j - 1)*(j + 2)
Let -10*m**4/23 - 118*m**3/23 + 32*m**2/23 + 96*m/23 = 0. What is m?
-12, -4/5, 0, 1
Factor -5*h**2 + 595*h + 3750.
-5*(h - 125)*(h + 6)
Factor -t**4/2 - 9*t**3/2 - 3*t**2/2 + 145*t/2 + 150.
-(t - 4)*(t + 3)*(t + 5)**2/2
Factor 10*s**4 - 25*s**3 + 5*s**2 + 10*s.
5*s*(s - 2)*(s - 1)*(2*s + 1)
Find u, given that 2*u**4/9 + 428*u**3/9 + 3408*u**2 + 746068*u/9 + 715822/9 = 0.
-71, -1
Find c such that 4*c**2 + 120*c + 224 = 0