c**2/3 - 8*c = 0. Calculate c.
-6, -1, 0, 2
Solve o**4/4 + 9*o**3/4 - 9*o**2 + o + 12 = 0 for o.
-12, -1, 2
Factor -z**4/2 - z**3/2 + 15*z**2.
-z**2*(z - 5)*(z + 6)/2
Let -l**5/11 - 129*l**4/11 + 6*l**3/11 + 766*l**2/11 - 1029*l/11 + 387/11 = 0. Calculate l.
-129, -3, 1
Find g such that g**4 + 4*g**3 - 6*g**2 - 36*g - 27 = 0.
-3, -1, 3
Factor -2*n**3 + 128*n**2 + 438*n - 2412.
-2*(n - 67)*(n - 3)*(n + 6)
Factor 2*p**2/3 - 34*p/3 + 28.
2*(p - 14)*(p - 3)/3
Let -5*q**4 + 117*q**3 - 601*q**2 + 987*q - 306 = 0. Calculate q.
2/5, 3, 17
Let -4*z**2 - 20*z + 336 = 0. Calculate z.
-12, 7
Find a, given that 4*a**2 + 128*a = 0.
-32, 0
Factor -5*s**2 + 145*s - 950.
-5*(s - 19)*(s - 10)
Suppose -4*f**5 - 92*f**4 - 120*f**3 + 952*f**2 - 1156*f + 420 = 0. Calculate f.
-21, -5, 1
Factor -4*x**2 + 5932*x + 5936.
-4*(x - 1484)*(x + 1)
Determine d, given that 5*d**4 + 100*d**3 + 480*d**2 - 1280*d - 10240 = 0.
-8, 4
Determine m so that -2*m**3/13 + 6*m/13 - 4/13 = 0.
-2, 1
Factor 45*b**4 - 125*b**3 + 60*b**2 + 20*b.
5*b*(b - 2)*(b - 1)*(9*b + 2)
Find g such that 2*g**5/15 - 284*g**4/15 - 584*g**3/5 - 3536*g**2/15 - 2368*g/15 = 0.
-2, 0, 148
Solve -3*y**2 + 66*y - 120 = 0 for y.
2, 20
Let 3*h**4/4 + 201*h**3/4 + 4347*h**2/4 + 26979*h/4 - 36501/2 = 0. What is h?
-23, 2
Factor 21*w**2 + 39528*w + 11292.
3*(w + 1882)*(7*w + 2)
Factor -3*d**4 + 528*d**3 - 22698*d**2 - 46992*d - 23763.
-3*(d - 89)**2*(d + 1)**2
Solve 20*m**5/7 + 88*m**4/7 + 20*m**3/7 - 48*m**2/7 = 0 for m.
-4, -1, 0, 3/5
Factor 3*x**2 - 14256*x - 14259.
3*(x - 4753)*(x + 1)
Factor -x**3 + 7*x**2 + 74*x - 168.
-(x - 12)*(x - 2)*(x + 7)
Let r**3/2 - 100*r**2 + 4576*r + 43264 = 0. Calculate r.
-8, 104
Factor -y**3 + 42*y**2 - 156*y + 152.
-(y - 38)*(y - 2)**2
Factor 8*t**3 + 38*t**2 + 48*t + 18.
2*(t + 1)*(t + 3)*(4*t + 3)
Factor w**4/9 + 1028*w**3/9 + 39102*w**2 + 40000660*w/9 - 40353607/9.
(w - 1)*(w + 343)**3/9
Factor 2*x**2 - 192*x + 4608.
2*(x - 48)**2
What is f in -3*f**2 + 27*f - 24 = 0?
1, 8
Suppose -3*q**2 + 1004*q - 668 = 0. What is q?
2/3, 334
Factor 578*h**2/5 + 579*h/5 + 1/5.
(h + 1)*(578*h + 1)/5
Suppose 4*t**2 + 851*t - 213 = 0. Calculate t.
-213, 1/4
What is u in -54*u**5/5 - 1056*u**4/5 - 2248*u**3/5 + 1748*u**2/5 + 1406*u/5 + 204/5 = 0?
-17, -3, -1/3, -2/9, 1
Solve o**5/8 + 2*o**4 + 41*o**3/8 + 13*o**2/4 = 0.
-13, -2, -1, 0
Let 16*p**3/3 + 34*p**2/3 + 20*p/3 + 2/3 = 0. What is p?
-1, -1/8
Factor i**2/7 + 338*i/7 + 28561/7.
(i + 169)**2/7
Determine h, given that 2*h**5/3 + 248*h**4/3 - 1024*h**3/3 = 0.
-128, 0, 4
Suppose -2*w**5/5 + 22*w**4/5 - 72*w**3/5 + 32*w**2/5 + 128*w/5 = 0. Calculate w.
-1, 0, 4
What is b in -2*b**3 + 270*b**2 + 1104*b + 1112 = 0?
-2, 139
Factor 5*j**2 - 1240*j - 3765.
5*(j - 251)*(j + 3)
Let -2*x**2/5 + 4*x/5 = 0. What is x?
0, 2
Determine k, given that -3*k**2/2 + 15*k/4 + 9 = 0.
-3/2, 4
Let s**5/10 + s**4/10 - 3*s**3/2 - s**2/2 + 17*s/5 + 12/5 = 0. What is s?
-4, -1, 2, 3
Factor -20*c**5 + 44*c**4 - 12*c**3 - 28*c**2 + 16*c.
-4*c*(c - 1)**3*(5*c + 4)
Factor w**3/5 - 52*w**2/5 + 276*w/5.
w*(w - 46)*(w - 6)/5
Solve 3*o**3 + 174*o**2 + 1257*o - 3234 = 0.
-49, -11, 2
Find j, given that 4*j**5/7 + 12*j**4/7 - 68*j**3/7 - 60*j**2/7 + 352*j/7 - 240/7 = 0.
-5, -3, 1, 2
Factor 5*x**3/7 - 174*x**2/7 + 457*x/7 - 288/7.
(x - 32)*(x - 1)*(5*x - 9)/7
Factor -39*y**3 - 174*y**2 + 396*y + 216.
-3*(y - 2)*(y + 6)*(13*y + 6)
Factor -2*s**3/5 - 2388*s**2/5 - 2386*s/5.
-2*s*(s + 1)*(s + 1193)/5
Find x, given that -2*x**5/13 + 2*x**4/13 + 16*x**3/13 - 16*x**2/13 - 32*x/13 + 32/13 = 0.
-2, 1, 2
Factor 4*t**2 - 28*t.
4*t*(t - 7)
Let 2*n**3 + 18*n**2 - 404*n + 720 = 0. What is n?
-20, 2, 9
Determine g, given that 3*g**5/4 - 195*g**4/4 + 5025*g**3/4 - 64125*g**2/4 + 101250*g - 253125 = 0.
10, 15
Factor 35*l**3 - 2040*l**2 + 2575*l - 570.
5*(l - 57)*(l - 1)*(7*l - 2)
Find r, given that 4*r**2 + 136*r + 132 = 0.
-33, -1
Find m, given that 2*m**2/5 + 94*m/5 = 0.
-47, 0
Determine k, given that -2*k**4/3 + 16*k**3/3 - 10*k**2 - 8*k/3 + 40/3 = 0.
-1, 2, 5
Suppose -b**4/4 + 4*b**3 + 27*b**2/2 + 14*b + 19/4 = 0. Calculate b.
-1, 19
Factor 147*i**3/2 + 51114*i**2 - 29226*i + 4176.
3*(i + 696)*(7*i - 2)**2/2
Solve -5*j**4/4 - 5*j**3 + 5*j**2/4 + 5*j = 0.
-4, -1, 0, 1
Factor -5*f**4 - 32700*f**3 - 80196750*f**2 - 87414457500*f - 35730659503125.
-5*(f + 1635)**4
Let 3*q**2/2 + 19170*q + 61248150 = 0. What is q?
-6390
Solve 2*j**3/7 + 36*j**2 - 1040*j/7 = 0.
-130, 0, 4
Suppose 3*c**5 - 21*c**4 + 45*c**3 - 39*c**2 + 12*c = 0. Calculate c.
0, 1, 4
Let v**5 - 10*v**4 + 25*v**3 + 20*v**2 - 80*v - 64 = 0. Calculate v.
-1, 4
Suppose -5*i**3 - 140*i**2 - 625*i + 770 = 0. What is i?
-22, -7, 1
Let 5*l**5 + 30*l**4 - 760*l**3 + 690*l**2 + 755*l - 720 = 0. Calculate l.
-16, -1, 1, 9
Factor -2*p**3 + 112*p**2 - 406*p - 520.
-2*(p - 52)*(p - 5)*(p + 1)
Factor -u**3/3 + 4*u**2/3 + u/3 - 4/3.
-(u - 4)*(u - 1)*(u + 1)/3
Suppose 5*p**5 + 180*p**4 + 105*p**3 - 29030*p**2 + 84000*p + 282240 = 0. Calculate p.
-24, -2, 7
Solve -2*n**3/11 - 46*n**2/11 + 48*n/11 = 0.
-24, 0, 1
Factor d**4/8 - 2*d**3 + 71*d**2/8 - 7*d.
d*(d - 8)*(d - 7)*(d - 1)/8
Factor -2*w**4/17 - 46*w**3/17 - 286*w**2/17 - 242*w/17.
-2*w*(w + 1)*(w + 11)**2/17
Factor -3*i**3 - 54*i**2 + 201*i + 252.
-3*(i - 4)*(i + 1)*(i + 21)
Factor -j**3/3 - 158*j**2/3 - 1505*j/3 - 3700/3.
-(j + 5)**2*(j + 148)/3
Let 250*b**5/17 + 450*b**4/17 + 270*b**3/17 + 54*b**2/17 = 0. Calculate b.
-3/5, 0
Solve b**5 + 32*b**4 - 666*b**3 + 1796*b**2 - 1727*b + 564 = 0.
-47, 1, 12
Factor i**4/4 + 23*i**3/4 - 34*i**2 + 28*i.
i*(i - 4)*(i - 1)*(i + 28)/4
Determine o, given that -2*o**3 + 26*o**2 = 0.
0, 13
Factor 2*m**2/11 - 124*m/11 + 1922/11.
2*(m - 31)**2/11
Factor -g**4 - 6*g**3 + 63*g**2 - 104*g + 48.
-(g - 4)*(g - 1)**2*(g + 12)
Determine c, given that -10*c**4 - 655*c**3 + 1720*c**2 + 1300*c - 4080 = 0.
-68, -3/2, 2
Find u such that -u**2 - 152*u - 5776 = 0.
-76
Find f, given that -2*f**3 + 11*f**2/2 = 0.
0, 11/4
Find r, given that -6*r**3/7 - 2834*r**2/7 - 9364*r/7 + 1072 = 0.
-469, -4, 2/3
Determine f, given that f**4 + 70*f**3 + 1357*f**2 + 4620*f + 4356 = 0.
-33, -2
Factor 84*x**3 - 92*x**2 + 8*x.
4*x*(x - 1)*(21*x - 2)
Suppose 3*y**2 - 24*y + 36 = 0. Calculate y.
2, 6
Find j, given that -j**2 - 119*j - 234 = 0.
-117, -2
Factor -103684*k**4 - 15456*k**3 - 576*k**2.
-4*k**2*(161*k + 12)**2
Determine f so that 3*f**3 - 6*f**2 - 8109*f = 0.
-51, 0, 53
Suppose 2*k**5/5 - 12*k**4/5 + 26*k**3/5 - 24*k**2/5 + 8*k/5 = 0. Calculate k.
0, 1, 2
Let -4*g**3 - 48*g**2 - 180*g - 200 = 0. What is g?
-5, -2
Solve 3*r**4 - 12*r**3 - 9*r**2 + 30*r + 24 = 0.
-1, 2, 4
Determine q so that -9*q**5/2 - 7*q**4/2 + 33*q**3/2 + 51*q**2/2 + 10*q = 0.
-1, 0, 20/9
Suppose n**2 + n - 20 = 0. What is n?
-5, 4
Find y such that y**5/8 + 3*y**4/4 - 3*y**3 + 13*y**2/4 - 9*y/8 = 0.
-9, 0, 1
What is y in -44*y**3/3 + 575*y**2/3 - 1742*y/3 - 112 = 0?
-2/11, 21/4, 8
Factor -36*m**4 + 2256*m**3 - 38224*m**2 + 90240*m - 57600.
-4*(m - 30)**2*(3*m - 4)**2
Let 4*h**4 + 112*h**3 + 1068*h**2 + 3760*h + 2800 = 0. What is h?
-10, -7, -1
What is l in 4*l**5 + 28*l**4 + 12*l**3 - 124*l**2 + 80*l = 0?
-5, -4, 0, 1
Factor 2*q**4/21 - 8*q**3/21 - 4*q**2/21 + 8*q/7 + 6/7.
2*(q - 3)**2*(q + 1)**2/21
Find d, given that 3*d**2 + 24*d - 27 = 0.
-9, 1
Find u, given that -12*u**5 + 2806*u**4/9 + 52*u**3/9 = 0.
-1/54, 0, 26
Solve -10*y**5/13 + 346*y**4/13 - 3610*y**3/13 + 750*y**2 + 4500*y/13 = 0 for y.
-2/5, 0, 5, 15
Factor 12*u**2 + 1316*u - 440.
4*(u + 110)*(3*u - 1)
Suppose -2*o**3 - 204*o**2 - 5202*o = 0. Calculate o.
-51, 0
Factor 2*m**2/3 + 692*m/3 + 59858/3.
2*(m + 173)**2/3
Solve s**4/2 + 7*s**3/2 + 15*s**2/2 + 9*s/2 = 0.
-3, -1, 0
Factor 8*u**3 - 308*u**2 - 476*u - 160.
4*(u - 40)*(u + 1)*(2*u + 1)
Find n, given that -21*n**4/4 - 447*n**3/4 + 231*n**2/2 + 735*n + 198 = 0.
-22, -2, -2/7, 3
Factor i**4 - 514*i**3 + 66048*i**2 + 514*i - 66049.
(i - 257)**2*(i - 1)*(i + 1)
Let 4*f**3 - 7544*f**2 + 3556996*f = 0. What is f?
0, 943
Solve -2*l**2 - 58*l - 56 = 0 for l.
-28, -1
Factor 2*r**4 - 12*r**3 - 6*r**2 + 104*r - 120.
2*(r - 5)*(r - 2)**2*(r + 3)
Solve -4*z**4/7 + 4*z**3/7 + 52*z**2/7 - 100*z/7 + 48/7 = 0.
-4, 1, 3
Find u, given that 2*u**2/9 - 1184*u/9 + 175232/9 = 0.
296
Factor 7*i**2/2 + 50*i + 86.
(i + 2)*(7*i 