ctor 4*p**4 + 376*p**3 + 736*p**2.
4*p**2*(p + 2)*(p + 92)
Find w such that 4*w**2 + 32*w - 36 = 0.
-9, 1
Solve 12*c**4/5 + 22*c**3/5 - 44*c**2/5 - 2*c/5 + 12/5 = 0 for c.
-3, -1/2, 2/3, 1
Determine g, given that -2*g**3/3 + 20*g**2/3 + 2*g/3 - 20/3 = 0.
-1, 1, 10
Find o, given that -o**4/9 + 4*o**3 + 37*o**2/9 = 0.
-1, 0, 37
What is c in -c**5 - 19*c**4 - 113*c**3 - 161*c**2 + 294*c = 0?
-7, -6, 0, 1
Factor 3*b**3 - 69*b**2 + 228*b.
3*b*(b - 19)*(b - 4)
Factor -5*d**2 + 15*d + 20.
-5*(d - 4)*(d + 1)
Solve 3*d**5 - 4617*d**4 + 2368518*d**3 - 405012474*d**2 - 2368521*d + 405017091 = 0 for d.
-1, 1, 513
Solve 15*g**4 - 245*g**3 + 70*g**2 + 160*g = 0.
-2/3, 0, 1, 16
Factor d**4/4 - d**3/2 - d**2/4 + d/2.
d*(d - 2)*(d - 1)*(d + 1)/4
Determine h, given that 3*h**5/5 - 3*h**4/5 - 66*h**3/5 - 6*h**2/5 + 207*h/5 - 27 = 0.
-3, 1, 5
Factor -r**2/5 - 58*r/5 + 24.
-(r - 2)*(r + 60)/5
What is u in -u**4/5 + 28*u**3/5 - 52*u**2/5 - 2016*u/5 - 5184/5 = 0?
-4, 18
Factor -j**4/3 + 4*j**3/3 - j**2/3 - 2*j.
-j*(j - 3)*(j - 2)*(j + 1)/3
What is t in -35*t**5 + 310*t**4 - 125*t**3 - 950*t**2 + 160*t + 640 = 0?
-8/7, -1, 1, 2, 8
Factor 4*c**2 - 872*c + 47524.
4*(c - 109)**2
Factor -2*v**2 + 3018*v.
-2*v*(v - 1509)
Suppose -4*i**2 + 112*i + 1152 = 0. What is i?
-8, 36
Let -2*v**3/9 + 14*v**2/9 + 20*v/9 - 32/9 = 0. Calculate v.
-2, 1, 8
Factor 2*s**4 + 24*s**3 + 60*s**2 + 56*s + 18.
2*(s + 1)**3*(s + 9)
Factor j**2/5 - 183*j - 916/5.
(j - 916)*(j + 1)/5
Suppose -5*k**2 - 325*k + 330 = 0. Calculate k.
-66, 1
Find o, given that -3*o**3/2 - 135*o**2/2 + 3*o/2 + 135/2 = 0.
-45, -1, 1
Find z such that -4*z**3/11 - 150*z**2/11 - 218*z/11 - 72/11 = 0.
-36, -1, -1/2
Factor 5*n**5 - 425*n**4 + 835*n**3 - 415*n**2.
5*n**2*(n - 83)*(n - 1)**2
Factor p**3 - 154*p**2 + 305*p - 152.
(p - 152)*(p - 1)**2
Suppose 2*w**4/17 - 36*w**3/17 + 64*w**2/17 = 0. Calculate w.
0, 2, 16
Determine l, given that -15*l**2 + 20*l = 0.
0, 4/3
Determine n, given that 2*n**2/13 - 634*n/13 = 0.
0, 317
Factor 2*b**3 + 78*b**2 + 288*b + 280.
2*(b + 2)**2*(b + 35)
Find s such that -5*s**4 + 90*s**3 - 235*s**2 + 150*s = 0.
0, 1, 2, 15
Factor s**3/9 + 3931*s**2/3 + 11591536*s/3 + 34762816/9.
(s + 1)*(s + 5896)**2/9
Factor -m**4/5 + 29*m**3/5 + 201*m**2/5 + 311*m/5 + 28.
-(m - 35)*(m + 1)**2*(m + 4)/5
Suppose -2*b**5 + 8*b**4 - 8*b**3 - 4*b**2 + 10*b - 4 = 0. Calculate b.
-1, 1, 2
Factor -y**4/3 - 4*y**3 - 14*y**2 - 52*y/3 - 7.
-(y + 1)**2*(y + 3)*(y + 7)/3
What is p in -2*p**2 + 494*p + 496 = 0?
-1, 248
Factor -2*j**4 - 246*j**3 + 248*j**2.
-2*j**2*(j - 1)*(j + 124)
Find c, given that 3*c**5 + 531*c**4 + 35376*c**3 + 1057056*c**2 + 12266496*c + 11244288 = 0.
-44, -1
Factor -5*x**4/6 + 10*x**3 - 45*x**2 + 90*x - 135/2.
-5*(x - 3)**4/6
Factor -5*z**2 - 65*z + 70.
-5*(z - 1)*(z + 14)
Suppose -36*j**4/7 + 32*j**3 - 228*j**2/7 + 40*j/7 = 0. Calculate j.
0, 2/9, 1, 5
Let a**2/3 + 137*a + 810 = 0. What is a?
-405, -6
What is w in -4*w**2 - 2176*w - 295936 = 0?
-272
Determine u, given that u**2 - 14*u + 40 = 0.
4, 10
Let k**3/5 - 29*k**2/5 + 224*k/5 - 196/5 = 0. What is k?
1, 14
Factor h**4/2 + 3*h**3 + 9*h**2/2 + 2*h.
h*(h + 1)**2*(h + 4)/2
What is w in 4*w**2 - 1732*w - 1736 = 0?
-1, 434
Factor 5*f**4/4 - 15*f**3/2 - 45*f**2 + 270*f.
5*f*(f - 6)**2*(f + 6)/4
Suppose h**5 - 16*h**4 + 63*h**3 + 16*h**2 - 64*h = 0. What is h?
-1, 0, 1, 8
Factor -5*a**4 - 35*a**3 - 75*a**2 - 45*a.
-5*a*(a + 1)*(a + 3)**2
Determine t, given that -2*t**2 - 248*t = 0.
-124, 0
Find l such that l**2/3 + 24*l + 432 = 0.
-36
Factor 4*b**5 + 28*b**4 + 36*b**3 - 108*b**2 - 216*b.
4*b*(b - 2)*(b + 3)**3
Find s, given that 4*s**5/9 + 398*s**4/9 + 9388*s**3/9 - 8534*s**2/3 + 1156*s = 0.
-51, 0, 1/2, 2
Factor 2*u**4/3 + 26*u**3/3 + 68*u**2/3 - 32*u.
2*u*(u - 1)*(u + 6)*(u + 8)/3
Determine f, given that 6*f**5/7 - 8*f**4 - 58*f**3/7 + 156*f**2/7 + 232*f/7 + 80/7 = 0.
-1, -2/3, 2, 10
Suppose 4*k**5 - 72*k**3 + 128*k**2 - 60*k = 0. Calculate k.
-5, 0, 1, 3
Factor -4*i**2 + 44*i + 720.
-4*(i - 20)*(i + 9)
Factor -80*l**3 + 1720*l**2 - 845*l + 105.
-5*(l - 21)*(4*l - 1)**2
Factor -5*i**3 - 16685*i**2 - 13911115*i + 13927805.
-5*(i - 1)*(i + 1669)**2
What is s in s**2/3 + 16*s + 527/3 = 0?
-31, -17
Factor 3*g**3/5 + 102*g**2/5 + 57*g + 186/5.
3*(g + 1)*(g + 2)*(g + 31)/5
Factor -r**3 - 40*r**2 - 337*r - 522.
-(r + 2)*(r + 9)*(r + 29)
Determine s so that -2*s**2 + 98 = 0.
-7, 7
Factor -3*w**2/4 - 1377*w/2 - 2751/4.
-3*(w + 1)*(w + 917)/4
Factor 2*f**3/9 + 38*f**2/9 - 44*f/9 - 80/9.
2*(f - 2)*(f + 1)*(f + 20)/9
Let q**5/4 + q**4/2 - 31*q**3/4 - 8*q**2 + 15*q = 0. What is q?
-6, -2, 0, 1, 5
Determine a so that -5*a**2 + 380*a - 7220 = 0.
38
Suppose -440*z**3 - 652*z**2 - 236*z - 24 = 0. Calculate z.
-1, -3/10, -2/11
Find i such that -2*i**5/7 - 58*i**4/7 - 508*i**3/7 - 908*i**2/7 + 3582*i/7 - 2106/7 = 0.
-13, -9, 1
Factor 2*n**2/7 + 46*n/7 - 156/7.
2*(n - 3)*(n + 26)/7
Factor t**2 - 1016*t + 258064.
(t - 508)**2
Factor -2*n**2/3 - 8*n + 170/3.
-2*(n - 5)*(n + 17)/3
Let -b**2 + 264*b - 17424 = 0. Calculate b.
132
Factor 4*t**2 - 68*t - 152.
4*(t - 19)*(t + 2)
Factor -3*o**2 - 414*o.
-3*o*(o + 138)
Determine x, given that 3*x**2/2 + 111*x/2 + 240 = 0.
-32, -5
Let -s**3/3 + 58*s**2/3 = 0. Calculate s.
0, 58
Let -2*q**5 - 8*q**4 - 8*q**3 + 4*q**2 + 10*q + 4 = 0. What is q?
-2, -1, 1
Solve -7300*k**3 + 8*k**2 = 0 for k.
0, 2/1825
Factor -z**2 + 514*z + 1032.
-(z - 516)*(z + 2)
Suppose 2*j**2/15 - 686*j/15 - 92 = 0. What is j?
-2, 345
Determine w, given that 14*w**4 + 200*w**3 - 896*w**2 + 736*w + 288 = 0.
-18, -2/7, 2
Let 2*f**4/11 + 16*f**3/11 + 10*f**2/11 - 100*f/11 = 0. Calculate f.
-5, 0, 2
Factor 2*t**3/3 + 1004*t**2/3 - 674*t - 1008.
2*(t - 3)*(t + 1)*(t + 504)/3
Factor b**4 + b**3 - 23*b**2 + 3*b + 90.
(b - 3)**2*(b + 2)*(b + 5)
Find w such that 35*w**2 - 2355*w + 670 = 0.
2/7, 67
Factor 2*u**2/7 - 2932*u/7 - 2934/7.
2*(u - 1467)*(u + 1)/7
Solve -3*b**2/2 - 3285*b - 3597075/2 = 0 for b.
-1095
Let 3*j**2/4 - 369*j/2 + 45387/4 = 0. Calculate j.
123
Factor -o**5/3 + 5*o**4/3 - 8*o**3/3 + 4*o**2/3.
-o**2*(o - 2)**2*(o - 1)/3
Let 3*n**3 - 30*n**2 - 156*n - 168 = 0. What is n?
-2, 14
Factor 5*p**2 + 89*p/5 - 44/5.
(p + 4)*(25*p - 11)/5
Find x, given that 2*x**5/3 + 44*x**4 + 2408*x**3/3 + 2356*x**2 - 9610*x/3 = 0.
-31, -5, 0, 1
Solve -9*w**3 + 111*w**2/2 + 777*w/2 - 435 = 0 for w.
-29/6, 1, 10
Factor 4*u**2 - 224*u - 228.
4*(u - 57)*(u + 1)
Let 2*o**3/7 - 22*o**2/7 - 148*o/7 - 192/7 = 0. What is o?
-3, -2, 16
Find n such that 2*n**2/7 - 1762*n/7 = 0.
0, 881
What is v in -3*v**3/2 + 103*v**2/4 - 101*v/2 + 105/4 = 0?
1, 7/6, 15
Solve -5*b**3 - 20*b**2 = 0.
-4, 0
Suppose -2*c**2/15 - 38*c/15 + 28/5 = 0. What is c?
-21, 2
Suppose -14*t**2/19 + 598*t/19 + 172/19 = 0. What is t?
-2/7, 43
Factor -4*z**3/5 + 1024*z**2/5 - 66548*z/5 + 129032/5.
-4*(z - 127)**2*(z - 2)/5
Solve 4*y**5/5 - 8*y**4/5 - 16*y**3/5 + 8*y**2/5 + 12*y/5 = 0.
-1, 0, 1, 3
Factor -17*z**3/7 - 33*z**2/7 - 16*z/7.
-z*(z + 1)*(17*z + 16)/7
Factor -3*p**2/2 + 63*p + 705/2.
-3*(p - 47)*(p + 5)/2
Factor -12*w**4 - 28*w**3 + 72*w**2 - 32*w.
-4*w*(w - 1)*(w + 4)*(3*w - 2)
Let -2*p**4 - 66*p**3 + 6*p**2 + 194*p - 132 = 0. What is p?
-33, -2, 1
Let -12*h**3 - 28*h**2 + 28*h + 12 = 0. Calculate h.
-3, -1/3, 1
What is w in 8*w**4 + 214*w**3 - 510*w**2 + 346*w - 58 = 0?
-29, 1/4, 1
Find s, given that -3*s**3/2 + 27*s**2/8 - 3*s/4 = 0.
0, 1/4, 2
Factor 5*o**5 + 10*o**4 + 5*o**3.
5*o**3*(o + 1)**2
Find q, given that -3*q**3 + 219*q**2 - 1233*q + 1809 = 0.
3, 67
Determine d, given that -d**5/6 + d**4/3 + 3*d**3/2 - d**2/3 - 4*d/3 = 0.
-2, -1, 0, 1, 4
Suppose -v**3 - 160*v**2 - 6400*v = 0. What is v?
-80, 0
Let 3*r**5/5 + 24*r**4/5 + 39*r**3/5 - 78*r**2/5 - 192*r/5 - 96/5 = 0. What is r?
-4, -1, 2
Determine y, given that 63*y**2 + 125*y - 2 = 0.
-2, 1/63
Suppose 2*t**4/9 - 14*t**3/9 - 50*t**2/9 + 134*t/9 - 8 = 0. Calculate t.
-4, 1, 9
Let 2*p**5 - 36*p**4 + 32*p**3 + 36*p**2 - 34*p = 0. Calculate p.
-1, 0, 1, 17
Suppose 9*u**4/4 - 1941*u**3/4 - 650*u**2 - 217*u = 0. What is u?
-2/3, 0, 217
Determine d, given that -4*d**2 - 320*d + 324 = 0.
-81, 1
Factor 4*q**4 - 28*q**3.
4*q**3*(q - 7)
Determine n so that 2*n**3/5 + 1114*n**2 + 3875326*n/5 - 3880898/5 = 0.
-1393, 1
Factor s**2 - 6*s - 16.
(s - 8)*(s + 2)
Fact