- 50*f**3/13 + 108*f**2/13 - 34*f/13 - 16/13 = 0.
-8, -1/4, 1
Suppose 3*s**4 - 186*s**3 + 2880*s**2 + 186*s - 2883 = 0. Calculate s.
-1, 1, 31
Factor w**2 - 382*w + 1137.
(w - 379)*(w - 3)
Factor -3*v**2/2 + 93*v/2 - 342.
-3*(v - 19)*(v - 12)/2
Factor 3*z**2 + 41*z + 26.
(z + 13)*(3*z + 2)
Solve -3*t**3 - 6117*t**2 + 6120*t = 0 for t.
-2040, 0, 1
Factor 2*n**5/3 - 10*n**4/3 - 26*n**3/3 - 14*n**2/3.
2*n**2*(n - 7)*(n + 1)**2/3
Suppose 2*n**3 + 20*n**2 + 22*n - 140 = 0. What is n?
-7, -5, 2
Factor 2*l**3/5 - 904*l**2/5 - 728*l - 3648/5.
2*(l - 456)*(l + 2)**2/5
Factor 2*h**2/3 + 92*h + 274/3.
2*(h + 1)*(h + 137)/3
Factor b**5 - 12*b**4 + 32*b**3 + 70*b**2 - 225*b - 250.
(b - 5)**3*(b + 1)*(b + 2)
Factor -57*p**2 - 51*p + 6.
-3*(p + 1)*(19*p - 2)
Suppose 4*p**2/3 - 125*p/3 + 31/3 = 0. Calculate p.
1/4, 31
Let 52*y**4/3 - 92*y**3/3 + 28*y**2/3 + 4*y = 0. Calculate y.
-3/13, 0, 1
Factor -5*s**3 + 85*s**2 + 320*s - 400.
-5*(s - 20)*(s - 1)*(s + 4)
Factor h**3/2 - h**2/2 - h.
h*(h - 2)*(h + 1)/2
Suppose -6*o**5/7 - 74*o**4/7 - 330*o**3/7 - 90*o**2 - 464*o/7 - 96/7 = 0. What is o?
-4, -3, -1, -1/3
Solve d**5/5 - 9*d**4/5 + 7*d**3/5 + 9*d**2/5 - 8*d/5 = 0 for d.
-1, 0, 1, 8
Factor 2*w**2/13 + 4*w/13 - 16/13.
2*(w - 2)*(w + 4)/13
Find w, given that 5*w**4 - 30*w**3 - 505*w**2 - 870*w + 1400 = 0.
-5, -4, 1, 14
Factor -2*x**2/13 - 488*x/13 + 7224/13.
-2*(x - 14)*(x + 258)/13
Factor 5*h**5/4 + 7845*h**4/4 + 1544475*h**3/2 + 4609915*h**2/2 + 9204165*h/4 + 3065445/4.
5*(h + 1)**3*(h + 783)**2/4
Factor l**2 - 83*l + 82.
(l - 82)*(l - 1)
Suppose w**3 + 2*w**2 - 75*w - 216 = 0. Calculate w.
-8, -3, 9
Find b, given that 25*b**5 - 60*b**4 - 5*b**3 + 60*b**2 - 20*b = 0.
-1, 0, 2/5, 1, 2
Factor 3*b**4 - 30*b**3 - 9*b**2 + 96*b - 60.
3*(b - 10)*(b - 1)**2*(b + 2)
Let 2*o**5 - 6*o**4 - 4*o**3 + 12*o**2 + 2*o - 6 = 0. Calculate o.
-1, 1, 3
Factor u**5 - 6*u**3 + 8*u**2 - 3*u.
u*(u - 1)**3*(u + 3)
Factor s**4 + 4*s**3 - 11*s**2 + 6*s.
s*(s - 1)**2*(s + 6)
Find s such that 9*s**4/2 - 26*s**3 + 69*s**2/2 - 9*s - 4 = 0.
-2/9, 1, 4
Let 216*x**4 - 288*x**3 + 30*x**2 + 38*x + 4 = 0. What is x?
-1/6, 2/3, 1
Factor -5*q**2 - 55*q - 50.
-5*(q + 1)*(q + 10)
Determine z so that 15*z**4/8 - 93*z**3/2 + 2445*z**2/8 - 207*z - 54 = 0.
-1/5, 1, 12
Let y**2/5 - 31*y/5 - 66/5 = 0. What is y?
-2, 33
Find s such that -2*s**4 + 398*s**3 + 2*s**2 - 398*s = 0.
-1, 0, 1, 199
Suppose 2*p**3/5 - 678*p**2/5 - 1362*p/5 - 682/5 = 0. Calculate p.
-1, 341
Factor q**4 + 11*q**3 - 72*q**2 - 740*q + 800.
(q - 8)*(q - 1)*(q + 10)**2
Factor 2*q**3 - 52*q**2 + 338*q.
2*q*(q - 13)**2
Let v**4/2 + 12*v**3 + 63*v**2/2 = 0. Calculate v.
-21, -3, 0
Factor -5*x**3 - 20*x**2 + 35*x + 50.
-5*(x - 2)*(x + 1)*(x + 5)
Factor h**2 - 154*h + 5929.
(h - 77)**2
Determine x, given that -x**4/2 + 83*x**3/2 + 169*x**2/2 + 85*x/2 = 0.
-1, 0, 85
Suppose -4*m**5 + 1136*m**4 - 4504*m**3 + 6736*m**2 - 4484*m + 1120 = 0. What is m?
1, 280
Factor -c**2/5 - c/5.
-c*(c + 1)/5
Factor a**4 + 4*a**3 + 2*a**2 - 4*a - 3.
(a - 1)*(a + 1)**2*(a + 3)
Solve 4*r**3/3 - 13*r**2/3 + r = 0.
0, 1/4, 3
Let -2*l**2/9 - 430*l/9 - 2912/9 = 0. Calculate l.
-208, -7
Determine m, given that -m**5/6 - 7*m**4/3 - 15*m**3/2 + 28*m**2/3 + 98*m/3 = 0.
-7, -2, 0, 2
Suppose 7*r**5 - 302*r**4/3 - 90*r**3 + 384*r**2 - 391*r/3 - 70 = 0. Calculate r.
-7/3, -2/7, 1, 15
Factor 2*r**3 - 14*r**2.
2*r**2*(r - 7)
Solve n**3/5 + 12*n**2 - 61*n/5 = 0.
-61, 0, 1
Solve j**2/10 + 23*j/2 + 55 = 0 for j.
-110, -5
Suppose -4*g**4/3 + 280*g**3/3 - 1436*g**2 - 20720*g/3 - 21904/3 = 0. Calculate g.
-2, 37
Find u such that 3*u**4/5 - 291*u**3/5 - 1197*u**2/5 - 1509*u/5 - 606/5 = 0.
-2, -1, 101
Factor 372*v**3/11 - 1490*v**2/11 + 136*v - 8/11.
2*(v - 2)**2*(186*v - 1)/11
Factor -t**3/4 - 503*t**2/4 - 251*t/2.
-t*(t + 1)*(t + 502)/4
Suppose 63*d**5 - 466*d**4 + 1185*d**3 - 1170*d**2 + 332*d - 24 = 0. Calculate d.
1/9, 2/7, 2, 3
Factor 3*z**5/2 - 6*z**4 + 21*z**2 - 51*z/2 + 9.
3*(z - 3)*(z - 1)**3*(z + 2)/2
Suppose 5*p**3 - 95*p**2 + 600*p - 1260 = 0. Calculate p.
6, 7
Factor 2*a**2/7 - 16*a/7 + 24/7.
2*(a - 6)*(a - 2)/7
Factor -5*r**3 - 20*r**2 - 25*r - 10.
-5*(r + 1)**2*(r + 2)
Find a, given that -4*a**5 + 16*a**4 - 12*a**3 - 16*a**2 + 16*a = 0.
-1, 0, 1, 2
What is p in -35*p**5 + 185*p**4 + 90*p**3 - 740*p**2 + 200*p = 0?
-2, 0, 2/7, 2, 5
Find w such that -w**2/5 + 7*w + 396/5 = 0.
-9, 44
Suppose -4*n**3 - 864*n**2 - 43008*n + 401408 = 0. Calculate n.
-112, 8
Find v such that -21*v**5/2 - 204*v**4 - 1455*v**3 - 4350*v**2 - 7125*v/2 + 3750 = 0.
-5, 4/7
Suppose q**4/4 - q**3/4 - 9*q**2/4 + 9*q/4 = 0. Calculate q.
-3, 0, 1, 3
Let 2*k**3/13 - 304*k**2/13 - 1258*k/13 + 120 = 0. Calculate k.
-5, 1, 156
Factor -2*d**2/3 - 368*d/3 - 16928/3.
-2*(d + 92)**2/3
Determine g so that 2*g**3/7 - 822*g**2/7 + 84870*g/7 - 84050/7 = 0.
1, 205
Determine b, given that -2*b**4 - 536*b**3 - 47468*b**2 - 1548504*b - 16692642 = 0.
-107, -27
Find y, given that -3*y**2 + 1200*y - 3573 = 0.
3, 397
Determine s, given that 3*s**5 - 81*s**4 + 789*s**3 - 3423*s**2 + 6408*s - 3696 = 0.
1, 4, 7, 11
Let 9*n**3/5 + 29*n**2/5 + 6*n/5 = 0. Calculate n.
-3, -2/9, 0
Factor -x**2 + 8*x + 9.
-(x - 9)*(x + 1)
Solve -9*h**5/7 + 417*h**4/7 - 1686*h**3/7 + 2028*h**2/7 - 72*h = 0 for h.
0, 1/3, 2, 42
Solve 3*x**5 - 87*x**4 + 351*x**3 + 351*x**2 - 3402*x + 3888 = 0.
-3, 2, 3, 24
Solve -5*i**5 + 5*i**4 + 25*i**3 - 25*i**2 - 20*i + 20 = 0.
-2, -1, 1, 2
Factor -l**2/3 + 13*l - 248/3.
-(l - 31)*(l - 8)/3
Factor 3*h**3/2 - 3*h**2 - 24*h + 48.
3*(h - 4)*(h - 2)*(h + 4)/2
Factor -2*j**4/5 + 12*j**3/5 + 14*j**2/5.
-2*j**2*(j - 7)*(j + 1)/5
What is v in 3*v**5 + 15*v**4 + 6*v**3 - 24*v**2 = 0?
-4, -2, 0, 1
Let 3*m**3 + 126*m**2 - 273*m - 396 = 0. Calculate m.
-44, -1, 3
Suppose -5*q**5 - 30*q**4 - 50*q**3 + 55*q + 30 = 0. What is q?
-3, -2, -1, 1
Factor g**2 - 5*g + 6.
(g - 3)*(g - 2)
Determine w so that -w**5/2 + 5*w**4/2 + 23*w**3/2 + 11*w**2/2 - 11*w - 8 = 0.
-2, -1, 1, 8
Factor -4*a**3/3 + 128*a**2 - 252*a + 376/3.
-4*(a - 94)*(a - 1)**2/3
Factor -4*d**5 + 28*d**4 + 24*d**3 - 200*d**2 + 236*d - 84.
-4*(d - 7)*(d - 1)**3*(d + 3)
Factor -u**3/7 - 4289*u**2/7 + 4290*u/7.
-u*(u - 1)*(u + 4290)/7
What is z in z**4/9 - z**3/9 - 2*z**2/3 = 0?
-2, 0, 3
Factor -5*v**5 + 215*v**4 - 3420*v**3 + 23760*v**2 - 60480*v.
-5*v*(v - 12)**3*(v - 7)
Find j such that -2*j**4/13 - 232*j**3/13 - 684*j**2/13 - 680*j/13 - 226/13 = 0.
-113, -1
Factor -4*x**4 - 92*x**3 - 456*x**2 - 848*x - 544.
-4*(x + 2)**3*(x + 17)
Solve -5*n**5 + 7*n**4 + 3*n**3 - 7*n**2 + 2*n = 0 for n.
-1, 0, 2/5, 1
Solve -d**2/5 - 108*d/5 + 44 = 0 for d.
-110, 2
Factor 5*q**5 + 115*q**4 + 345*q**3 - 1775*q**2 + 2030*q - 720.
5*(q - 1)**3*(q + 8)*(q + 18)
Factor i**4/5 - 24*i**3 + 3832*i**2/5 - 2784*i + 13456/5.
(i - 58)**2*(i - 2)**2/5
Factor v**2 + 7168*v + 12845056.
(v + 3584)**2
Determine w, given that -2*w**5/15 + 12*w**4/5 + 286*w**3/15 + 32*w**2/5 - 1184*w/15 + 256/5 = 0.
-4, 1, 24
Determine l, given that -2*l**4/15 + 16*l**3/15 + 182*l**2/15 - 196*l/15 = 0.
-7, 0, 1, 14
Solve -5*q**5 - 95*q**4 - 470*q**3 - 290*q**2 + 475*q + 385 = 0 for q.
-11, -7, -1, 1
Suppose 2*j**4/3 - 416*j**3/9 + 2356*j**2/3 + 560*j - 2450/9 = 0. Calculate j.
-1, 1/3, 35
Let s**3 - 841*s**2 + 3352*s - 3348 = 0. Calculate s.
2, 837
Let -2*i**3 + 196*i**2 - 2450*i + 8232 = 0. What is i?
7, 84
Determine j, given that 3*j**2 + 18*j = 0.
-6, 0
Determine k, given that -k**2/6 + 23*k/6 - 56/3 = 0.
7, 16
Factor -2*t**3 + 434*t**2.
-2*t**2*(t - 217)
Determine p, given that 2*p**5/13 - 4*p**4 - 60*p**3/13 + 856*p**2 - 6734*p + 10140 = 0.
-15, 2, 13
Suppose 2*s**5 + 106*s**4 + 1538*s**3 + 3134*s**2 - 8300*s - 10000 = 0. What is s?
-25, -4, -1, 2
Factor -5*x**3 + 165*x**2 + 365*x - 525.
-5*(x - 35)*(x - 1)*(x + 3)
Find t such that -60*t**5 + 475*t**4 + 865*t**3 - 2705*t**2 + 1695*t - 270 = 0.
-3, 1/4, 2/3, 1, 9
Suppose -5*f**3 + 175*f**2 - 1435*f + 1265 = 0. Calculate f.
1, 11, 23
Factor -j**4 + 102*j**3 + 975*j**2 + 2648*j + 1776.
-(j - 111)*(j + 1)*(j + 4)**2
Factor 5*c**2 + 2080*c - 10525.
5*(c - 5)*(c + 421)
Find s such that 4*s**3/9 + 20*s**2/3 + 236*s/9 + 20 = 0.
-9, -5, -1
Factor -y**2 - 40*y + 41.
-(y - 1)*(y + 41)
Find u, given that -2*u**4 + 20*u**3 - 46*u**2 + 28*u = 0.
0, 1, 2, 7
Factor -5*d**3/6 - 15