**4 - 145*l**3 - 364*l**2 - 92*l.
l*(l - 23)*(l + 2)*(7*l + 2)
Suppose -2*s**4 - 272*s**3/3 - 1230*s**2 - 4400*s - 4000/3 = 0. What is s?
-20, -5, -1/3
Find t such that 300*t**3 + 135*t**2 - 147*t + 18 = 0.
-1, 3/20, 2/5
Find p such that 20*p**5 + 196*p**4 + 620*p**3 + 668*p**2 + 160*p - 64 = 0.
-4, -1, 1/5
Determine h so that -h**2 + 7*h = 0.
0, 7
What is p in -4*p**2 + 20*p = 0?
0, 5
Factor -r**5/6 + 56*r**4 - 6327*r**3 + 246420*r**2 - 1367631*r/2.
-r*(r - 111)**3*(r - 3)/6
Suppose 5*u**4 + 185*u**3 + 1490*u**2 + 3900*u + 3240 = 0. What is u?
-27, -6, -2
Let -6*j**5 - 50*j**4 + 50*j**3 + 130*j**2 + 36*j = 0. Calculate j.
-9, -1, -1/3, 0, 2
Factor -9*q**4 - 15*q**3 + 48*q**2 + 84*q.
-3*q*(q + 2)**2*(3*q - 7)
Factor -2*a**2/3 + 4880*a/3 - 2976800/3.
-2*(a - 1220)**2/3
Determine a, given that -a**2/4 + 3*a/2 - 5/4 = 0.
1, 5
Factor 3*j**3/5 - 45*j**2.
3*j**2*(j - 75)/5
Factor x**2 - 3*x - 180.
(x - 15)*(x + 12)
What is i in -2*i**4/19 - 10*i**3/19 - 18*i**2/19 - 14*i/19 - 4/19 = 0?
-2, -1
Find x, given that 5*x**2 - 2670*x = 0.
0, 534
Find o such that 4*o**2 - 4824*o - 4828 = 0.
-1, 1207
Factor 3*k**3 - 18*k**2 + 27*k.
3*k*(k - 3)**2
Solve s**4 - 2*s**3 = 0.
0, 2
Determine u, given that u**2 + 961*u = 0.
-961, 0
Factor -i**3/3 - 25*i**2/3 - 122*i/3 - 152/3.
-(i + 2)*(i + 4)*(i + 19)/3
Let p**4 - 327*p**3 - 328*p**2 = 0. Calculate p.
-1, 0, 328
Suppose u**3/3 + 131*u**2/3 + 1533*u + 6615 = 0. Calculate u.
-63, -5
Determine h, given that h**4/3 - 10*h**3/3 + 28*h**2/3 - 2*h - 15 = 0.
-1, 3, 5
Solve 385*y**4 - 1065*y**3 + 885*y**2 - 115*y - 90 = 0.
-18/77, 1
Factor -5*i**2 + 165*i - 700.
-5*(i - 28)*(i - 5)
Factor 2*h**3 - 102*h**2 + 1710*h - 9450.
2*(h - 21)*(h - 15)**2
Suppose -c**4/6 - 5*c**3/2 - 19*c**2/3 - 4*c = 0. Calculate c.
-12, -2, -1, 0
Find s such that -2*s**5/7 - 3*s**4/7 + 12*s**3/7 + s**2 - 6*s/7 = 0.
-3, -1, 0, 1/2, 2
Factor 2*d**3/3 + 58*d**2/9 + 4*d.
2*d*(d + 9)*(3*d + 2)/9
Factor -5*u**4 + 70*u**3.
-5*u**3*(u - 14)
Factor -4*x**4 - 24*x**3 + 4*x**2 + 24*x.
-4*x*(x - 1)*(x + 1)*(x + 6)
Find n such that -13*n**3/7 + 717*n**2/7 - 9678*n/7 + 1472/7 = 0.
2/13, 23, 32
Determine t so that -2*t**3/13 - 10*t**2/13 - 8*t/13 = 0.
-4, -1, 0
What is c in 5*c**2 - 1380*c + 95220 = 0?
138
Let -56*y**4/5 + 226*y**3/5 + 1788*y**2/5 - 16*y - 128/5 = 0. What is y?
-4, -1/4, 2/7, 8
Determine c so that 4*c**4 + 1400*c**3 + 121092*c**2 - 246400*c + 123904 = 0.
-176, 1
Suppose -9*q**5/4 - 3*q**4/2 + 9*q**3 + 6*q**2 = 0. Calculate q.
-2, -2/3, 0, 2
Factor -4*m**3 + 36*m.
-4*m*(m - 3)*(m + 3)
Determine v, given that -2*v**3/7 + 48*v**2/7 + 216*v/7 + 32 = 0.
-2, 28
Factor 2*u**2/9 + 146*u/9 - 316/3.
2*(u - 6)*(u + 79)/9
Suppose 2*v**5/7 + 68*v**4/7 + 402*v**3/7 + 640*v**2/7 - 248*v/7 - 864/7 = 0. What is v?
-27, -4, -2, 1
Factor 5*m**3 - 395*m**2 - 805*m - 405.
5*(m - 81)*(m + 1)**2
Suppose -4*c**5 - 8*c**4 + 8*c**3 + 16*c**2 - 4*c - 8 = 0. Calculate c.
-2, -1, 1
Solve -3*y**4 + 75*y**3 - 561*y**2 + 1089*y = 0.
0, 3, 11
Suppose q**4 + 5*q**3 - 14*q**2 = 0. What is q?
-7, 0, 2
Factor -3*b**3 - 89*b**2 - 345*b + 125.
-(b + 5)*(b + 25)*(3*b - 1)
Factor -w**4/6 - 7*w**3/6 + 5*w**2 - 2*w/3 - 20/3.
-(w - 2)**2*(w + 1)*(w + 10)/6
What is v in -v**2/2 + v + 4 = 0?
-2, 4
Suppose 25*f**3 + 460*f**2 + 180*f = 0. What is f?
-18, -2/5, 0
Factor 2*a**2/3 + 2780*a/3 + 966050/3.
2*(a + 695)**2/3
Factor -3*j**2/7 - 3*j/7 + 60/7.
-3*(j - 4)*(j + 5)/7
Find b such that -25*b**3/6 + 35*b**2 - 147*b/2 = 0.
0, 21/5
Let -k**4/3 - 8*k**3/3 + 16*k**2 = 0. What is k?
-12, 0, 4
Factor 2*c**3/3 - 14*c**2 + 136*c/3.
2*c*(c - 17)*(c - 4)/3
Factor -m**3 - 194*m**2/3 + 67*m/3 + 130/3.
-(m - 1)*(m + 65)*(3*m + 2)/3
Factor -t**3 - 3*t**2 + 4*t + 12.
-(t - 2)*(t + 2)*(t + 3)
Factor 3*a**3/2 - 279*a**2/2 + 6345*a/2 + 6627/2.
3*(a - 47)**2*(a + 1)/2
Factor -3*n**5/7 + 27*n**4/7 - 90*n**3/7 + 138*n**2/7 - 99*n/7 + 27/7.
-3*(n - 3)**2*(n - 1)**3/7
Determine f so that 2*f**4/11 - 6*f**3 + 342*f**2/11 - 486*f/11 = 0.
0, 3, 27
Determine m, given that -m**4/6 + 8*m**3/3 - 14*m**2 + 24*m = 0.
0, 4, 6
Suppose -2*q**4/3 - 8*q**3/3 - 4*q**2 - 8*q/3 - 2/3 = 0. Calculate q.
-1
Factor -9*p**5/8 - 231*p**4/8 - 151*p**3/8 - 25*p**2/8.
-p**2*(p + 25)*(3*p + 1)**2/8
Factor -3*f**3/7 + 45*f**2/7 - 69*f/7 - 117/7.
-3*(f - 13)*(f - 3)*(f + 1)/7
Solve -c**3/2 - 247*c**2/2 + 500*c - 502 = 0.
-251, 2
Factor -2*k**3/15 - 606*k**2/5 - 183618*k/5 - 18545418/5.
-2*(k + 303)**3/15
Solve 2*z**4/15 - 2984*z**3/3 + 5565160*z**2/3 = 0 for z.
0, 3730
Solve 62*x**2/5 - 128*x/5 + 8/5 = 0.
2/31, 2
Let -r**3/6 + 85*r**2/6 + 178*r/3 = 0. What is r?
-4, 0, 89
Suppose g**3/3 - 3*g**2 - 49*g/3 - 13 = 0. Calculate g.
-3, -1, 13
Factor m**4/5 - 212*m**3/5 + 289*m**2 - 410*m.
m*(m - 205)*(m - 5)*(m - 2)/5
Factor -s**3/4 + 31*s**2/2 - 273*s/4 - 6084.
-(s - 39)**2*(s + 16)/4
Factor -4*x**2/3 - 23*x/3 + 35/3.
-(x + 7)*(4*x - 5)/3
Determine b, given that 2*b**3/5 - 2066*b**2/5 - 8288*b/5 - 8296/5 = 0.
-2, 1037
Factor -3*q**3 - 24*q**2 - 57*q - 36.
-3*(q + 1)*(q + 3)*(q + 4)
Factor 10*v**3 - 105*v**2 - 175*v - 60.
5*(v - 12)*(v + 1)*(2*v + 1)
Factor -2*a**5/5 - 8*a**4 - 156*a**3/5 + 88*a**2 - 242*a/5.
-2*a*(a - 1)**2*(a + 11)**2/5
Factor -2*l**5/11 - 16*l**4/11 - 36*l**3/11 + 54*l/11.
-2*l*(l - 1)*(l + 3)**3/11
Let 11*m**3/4 + 7*m**2/2 + 3*m/4 = 0. What is m?
-1, -3/11, 0
Factor -2*p**2 - 1464*p - 5824.
-2*(p + 4)*(p + 728)
Factor 2*g**4 - 5292*g**3 + 3505946*g**2 - 6996024*g + 3495368.
2*(g - 1322)**2*(g - 1)**2
Determine h, given that 2*h**3/7 - 1112*h**2/7 + 154568*h/7 = 0.
0, 278
Factor 2*d**5/7 - 2*d**4/7 - 18*d**3/7 - 22*d**2/7 - 8*d/7.
2*d*(d - 4)*(d + 1)**3/7
What is g in 25*g**5 + 4330*g**4 - 3476*g**3 + 696*g**2 = 0?
-174, 0, 2/5
Factor -3*z**2/4 + 291*z/8 - 423/8.
-3*(z - 47)*(2*z - 3)/8
Factor z**3 + 142*z**2 - 580*z + 584.
(z - 2)**2*(z + 146)
Factor -2*f**2 + 38*f + 132.
-2*(f - 22)*(f + 3)
Determine n, given that -3*n**3 + 387*n**2 - 16317*n + 225885 = 0.
37, 55
Suppose -8*w**3/7 + 58*w**2/3 - 974*w/21 - 4 = 0. What is w?
-1/12, 3, 14
Let -v**3/2 + 3*v**2 - 3*v/2 - 5 = 0. What is v?
-1, 2, 5
Determine f, given that -3*f**5/2 + 27*f**4 - 33*f**3/2 - 159*f**2 + 90*f + 204 = 0.
-2, -1, 2, 17
Factor 2*r**2/9 - 124*r/9.
2*r*(r - 62)/9
Find f, given that 32*f**5 - 432*f**4 - 238*f**3 + 198*f**2 - 28*f = 0.
-1, 0, 1/4, 14
Suppose -3*z**5 - 45*z**4 - 102*z**3 + 108*z**2 + 456*z + 288 = 0. Calculate z.
-12, -2, -1, 2
Factor r**4 + 210*r**3 + 10813*r**2 - 22260*r + 11236.
(r - 1)**2*(r + 106)**2
Solve -5*h**5 - 865*h**4 - 30455*h**3 + 592825*h**2 - 3196000*h + 5522500 = 0.
-94, 5
Solve -2*y**2/5 + 156*y/5 - 304/5 = 0.
2, 76
Find p such that -2*p**3/5 - 12*p**2/5 + 2*p/5 + 12/5 = 0.
-6, -1, 1
Solve -8*o**5/15 + 206*o**4/15 - 68*o**3/3 + 94*o**2/15 + 16*o/5 = 0 for o.
-1/4, 0, 1, 24
Factor a**3 - 18*a**2 + 96*a - 128.
(a - 8)**2*(a - 2)
Factor 4*v**5/7 - 1172*v**4/7 - 168*v**3.
4*v**3*(v - 294)*(v + 1)/7
Determine s so that -3*s**4 + 66*s**3 + 12*s**2 - 264*s = 0.
-2, 0, 2, 22
Determine n so that -n**3/5 - 444*n**2/5 - 49284*n/5 = 0.
-222, 0
Let 2*n**2 + 86*n + 812 = 0. What is n?
-29, -14
Factor 2*x**4/7 + 26*x**3/7 + 52*x**2/7 - 80*x/7.
2*x*(x - 1)*(x + 4)*(x + 10)/7
Factor 2*f**2/3 - 16*f/3 + 8.
2*(f - 6)*(f - 2)/3
Factor -3*l**3/2 - 21*l**2 - 171*l/2 - 108.
-3*(l + 3)**2*(l + 8)/2
Solve g**4 + 8*g**3 = 0 for g.
-8, 0
Factor -5*b**3 + 20*b**2 - 25*b + 10.
-5*(b - 2)*(b - 1)**2
Factor 4*a**3/9 + 52*a**2/9 - 272*a/9.
4*a*(a - 4)*(a + 17)/9
Determine a, given that 4*a**3 + 4*a**2 = 0.
-1, 0
Solve z**5/2 + 15*z**4/2 - 45*z**3/2 - 675*z**2/2 + 1620*z - 1944 = 0 for z.
-12, 3
Suppose -5*h**5 - 240*h**4 - 2865*h**3 + 730*h**2 + 9120*h + 5760 = 0. Calculate h.
-24, -1, 2
Solve -3*t**3/5 - 2766*t**2/5 + 16677*t/5 - 25056/5 = 0.
-928, 3
Determine d, given that -3*d**2 - 156*d + 324 = 0.
-54, 2
Determine g, given that -8*g**3 - 204*g**2 - 928*g + 2736 = 0.
-18, -19/2, 2
Factor 2*c**3 + 54*c**2 + 48*c - 104.
2*(c - 1)*(c + 2)*(c + 26)
Factor -2*n**4/7 - 20*n**3/7.
-2*n**3*(n + 10)/7
Find q, given that -6*q**3/5 + 1314*q**2/5 + 264*q = 0.
-1, 0, 220
What is o in -4*o**3 - 44*o**2 - 144*o - 144 = 0?
-6, -3, -2
Let 4*i**4 - 76*i**3 - 556*i**2 - 1076*i - 600 = 0. Calculate i.
-3, -2, -1, 25
Factor 2*s**2/11 + 664*s/11 - 4056/11.
2*(s - 6)*(s + 3