g**2 - 23*g/3.
-g*(g + 1)*(g + 23)/3
Suppose -2*z**2/11 + 5592*z/11 = 0. What is z?
0, 2796
Solve -2*m**3/9 - 22*m**2/9 - 26*m/3 - 10 = 0.
-5, -3
Factor 21*g**4 - 204*g**3 + 129*g**2 + 54*g.
3*g*(g - 9)*(g - 1)*(7*g + 2)
Let 2*n**5/5 + 4*n**4/5 - 276*n**3/5 + 784*n**2/5 - 766*n/5 + 252/5 = 0. What is n?
-14, 1, 9
Factor 4*j**2/5 + 2112*j/5 - 848.
4*(j - 2)*(j + 530)/5
Solve 5*a**2 - 85*a = 0 for a.
0, 17
Determine y, given that 45*y**2 + 210*y + 245 = 0.
-7/3
Solve -2*o**2/11 + 10*o/11 + 12/11 = 0.
-1, 6
Let 16*n**4 + 196*n**3 + 622*n**2 + 120*n - 72 = 0. What is n?
-6, -1/2, 1/4
Let 13*l**4 - 67*l**3 + 114*l**2 - 68*l + 8 = 0. Calculate l.
2/13, 1, 2
Factor -2*c**3 - 110*c**2 - 1566*c - 1458.
-2*(c + 1)*(c + 27)**2
Suppose 4*r**2/5 + 184*r/5 + 2112/5 = 0. What is r?
-24, -22
Factor o**4/2 - 299*o**3/2 + 14850*o**2 - 485000*o - 500000.
(o - 100)**3*(o + 1)/2
Factor 4*x**2 - 108*x + 704.
4*(x - 16)*(x - 11)
Let 38*b**4/13 - 8*b**3 + 84*b**2/13 - 8*b/13 - 10/13 = 0. What is b?
-5/19, 1
Suppose -35*u**4 - 234*u**3 - 505*u**2 - 378*u - 72 = 0. What is u?
-3, -12/5, -1, -2/7
Determine p so that p**5/3 - p**4/3 - 7*p**3 + 13*p**2/3 + 80*p/3 + 16 = 0.
-4, -1, 3, 4
Factor -6*n**3/5 + 28*n**2/5 - 8*n + 16/5.
-2*(n - 2)**2*(3*n - 2)/5
Factor 3*n**4 - 189*n**3 - 1242*n**2.
3*n**2*(n - 69)*(n + 6)
Suppose 2*f**2/11 - 214*f/11 + 2280/11 = 0. Calculate f.
12, 95
Factor -14*b**3 - 32820*b**2 - 19239552*b - 5494336.
-2*(b + 1172)**2*(7*b + 2)
What is w in -21*w**5 + 120*w**4 - 153*w**3 + 30*w**2 + 24*w = 0?
-2/7, 0, 1, 4
Determine m so that -2*m**5 + 314*m**4 - 24325*m**3/2 - 13036*m**2 + 44003*m/2 - 6241 = 0.
-2, 1/2, 79
Find v such that -v**2/2 - 8*v = 0.
-16, 0
Solve -3*o**3/4 + 36*o**2 - 351*o - 2028 = 0 for o.
-4, 26
Factor -n**2 + 68*n.
-n*(n - 68)
Factor r**4/5 - 3*r**3/5 + 3*r**2/5 - r/5.
r*(r - 1)**3/5
Let 28*m**5 + 12*m**4 - 196*m**3 + 84*m**2 + 72*m = 0. Calculate m.
-3, -3/7, 0, 1, 2
Factor l**2/4 + 119*l.
l*(l + 476)/4
Let -36*u**5 - 1324*u**4 - 2224*u**3 + 560*u**2 = 0. What is u?
-35, -2, 0, 2/9
Factor d**3/3 - 2*d**2 + 4*d - 8/3.
(d - 2)**3/3
Factor 29*a**3/6 - 205*a**2/6 + 7*a/3.
a*(a - 7)*(29*a - 2)/6
Let -2*z**3/15 - 408*z**2/5 - 83232*z/5 - 5659776/5 = 0. Calculate z.
-204
Factor 4*h**4/3 - 32*h**2 + 256*h/3 - 64.
4*(h - 2)**3*(h + 6)/3
What is p in -2*p**3 - 12*p**2 = 0?
-6, 0
Let -3*n**2 + 162*n - 312 = 0. What is n?
2, 52
Determine w so that -24*w**4 + 28*w**3 + 64*w**2 - 28*w - 40 = 0.
-1, -5/6, 1, 2
Find b such that -25*b**5 - 70*b**4 + 81*b**3 + 242*b**2 + 140*b + 24 = 0.
-3, -1, -2/5, 2
Factor -4*b**4 + b**3 + 18*b**2.
-b**2*(b + 2)*(4*b - 9)
Determine f, given that f**5/6 + 29*f**4/3 + 167*f**3/2 - 4930*f**2/3 + 14450*f/3 = 0.
-34, 0, 5
Suppose -5*b**2 - 4255*b - 12720 = 0. What is b?
-848, -3
Find b such that -5*b**2 + 1575*b - 1570 = 0.
1, 314
Suppose 20*o**5/7 + 1524*o**4/7 + 4724*o**3/7 + 3804*o**2/7 + 584*o/7 = 0. What is o?
-73, -2, -1, -1/5, 0
Factor 3*o**3 - 84*o**2 + 537*o + 624.
3*(o - 16)*(o - 13)*(o + 1)
Let m**3/4 - 7*m**2/2 - 15*m/4 = 0. What is m?
-1, 0, 15
Factor k**4/3 - 582*k**3 + 770809*k**2/3 - 2525880*k + 18835600/3.
(k - 868)**2*(k - 5)**2/3
Solve -2*i**3/5 + 66*i**2/5 - 576*i/5 + 512/5 = 0 for i.
1, 16
Factor -2*k**3/5 - 114*k**2/5 - 1566*k/5 + 1682/5.
-2*(k - 1)*(k + 29)**2/5
Let 2*v**2/13 - 50*v/13 + 200/13 = 0. Calculate v.
5, 20
Factor -4*g**3/5 + 24*g**2/5 + 204*g/5 + 176/5.
-4*(g - 11)*(g + 1)*(g + 4)/5
Factor -4*l**5 - 1352*l**4 - 112884*l**3 + 229840*l**2 - 115600*l.
-4*l*(l - 1)**2*(l + 170)**2
What is c in -3*c**3 + 33*c**2 + 42*c - 72 = 0?
-2, 1, 12
Suppose -2*k**3/11 - 28*k**2/11 - 114*k/11 - 144/11 = 0. Calculate k.
-8, -3
Factor o**5 - 24*o**4 + 44*o**3 + 2*o**2 - 45*o + 22.
(o - 22)*(o - 1)**3*(o + 1)
Suppose -3*v**4 + 321*v**3 - 8739*v**2 + 7791*v + 16854 = 0. Calculate v.
-1, 2, 53
Find l such that -4*l**5 + 16*l**4 + 136*l**3 - 16*l**2 - 420*l + 288 = 0.
-3, 1, 8
What is n in -3*n**4/7 + 744*n**3/7 - 5094*n**2/7 + 7968*n/7 - 3615/7 = 0?
1, 5, 241
Solve i**4 - 5*i**3 - 40*i**2 + 260*i - 336 = 0 for i.
-7, 2, 4, 6
Suppose -8*n**3 - 1708*n**2 + 2576*n - 860 = 0. What is n?
-215, 1/2, 1
Let -2*i**4 - 136*i**3 - 644*i**2 - 888*i - 378 = 0. Calculate i.
-63, -3, -1
Factor -5*i**3 - 90*i**2 - 355*i - 390.
-5*(i + 2)*(i + 3)*(i + 13)
Factor -2*z**4/9 + 70*z**3/9 - 68*z**2/9.
-2*z**2*(z - 34)*(z - 1)/9
Factor -3*v**4/4 - 165*v**3/2 + 333*v**2/4.
-3*v**2*(v - 1)*(v + 111)/4
Determine x, given that 2*x**2 - 8*x = 0.
0, 4
Factor p**4/3 + 7*p**3 + 33*p**2 + 139*p/3 + 20.
(p + 1)**2*(p + 4)*(p + 15)/3
Factor 5*w**2 + 16800*w + 14112000.
5*(w + 1680)**2
What is c in -2*c**3/3 + 16*c**2/9 - 14*c/9 + 4/9 = 0?
2/3, 1
Solve 39*a**4 + 33*a**3 - 84*a**2 + 12*a = 0.
-2, 0, 2/13, 1
Suppose 2*h**2/3 - 32*h/3 + 26 = 0. Calculate h.
3, 13
Factor -3*w**2/4 - 3399*w/2 - 3851067/4.
-3*(w + 1133)**2/4
Let f**4 - 366*f**3 + 44652*f**2 - 1815848*f = 0. Calculate f.
0, 122
Factor m**5 - 15*m**4 + 39*m**3 - 37*m**2 + 12*m.
m*(m - 12)*(m - 1)**3
Find k such that -4*k**3 - 284*k**2 + 12648*k = 0.
-102, 0, 31
Factor 5*q**2 + 140*q.
5*q*(q + 28)
Solve -4*s**2/3 + 488*s/3 - 320 = 0.
2, 120
Factor 2*u**3/15 - 8*u**2/15 - 2*u/15 + 8/15.
2*(u - 4)*(u - 1)*(u + 1)/15
Let 36*w**5 + 741*w**4 - 357*w**3 - 867*w**2 + 321*w + 126 = 0. Calculate w.
-21, -1, -1/4, 2/3, 1
Let 4*y**2 + 2920*y + 532900 = 0. Calculate y.
-365
Factor -i**5 - 24*i**4 - 164*i**3 - 54*i**2 + 1701*i - 1458.
-(i - 2)*(i - 1)*(i + 9)**3
Factor 2*w**3/11 - 38*w**2/11 + 224*w/11 - 384/11.
2*(w - 8)**2*(w - 3)/11
Determine a so that -125*a**5/8 + 25*a**4 + 595*a**3/8 - 341*a**2/4 - 203*a/2 + 49 = 0.
-7/5, 2/5, 2
Factor -5*n**3/4 + 12745*n**2/2 - 32487005*n/4.
-5*n*(n - 2549)**2/4
Suppose y**2/2 - 92*y = 0. What is y?
0, 184
Determine k, given that -2*k**4/23 - 324*k**3/23 - 642*k**2/23 - 320*k/23 = 0.
-160, -1, 0
Find x such that 4*x**4 + 28*x**3 + 73*x**2 + 84*x + 36 = 0.
-2, -3/2
Factor -j**4/8 + 6*j**3 - 693*j**2/8 + 1323*j/4.
-j*(j - 21)**2*(j - 6)/8
Determine c, given that 2*c**5 + 6*c**4 - 4*c**3 - 24*c**2 - 16*c = 0.
-2, -1, 0, 2
Factor -2*c**2/7 + 18*c/7 + 72/7.
-2*(c - 12)*(c + 3)/7
Factor y**4/8 + y**3/2 - 10*y**2 + 24*y.
y*(y - 4)**2*(y + 12)/8
Find z, given that z**3/2 + 21*z**2/2 - 686 = 0.
-14, 7
Find n, given that -5*n**2 - 50*n - 120 = 0.
-6, -4
Factor h**4 + 2*h**3 - h**2 - 2*h.
h*(h - 1)*(h + 1)*(h + 2)
Factor -16*p**2 - 28*p + 8.
-4*(p + 2)*(4*p - 1)
Factor 2*z**3 - 66*z**2 + 60*z + 128.
2*(z - 32)*(z - 2)*(z + 1)
Find o such that -16*o**5 + 236*o**4 - 996*o**3 + 1592*o**2 - 688*o - 288 = 0.
-1/4, 2, 9
Let -v**2/7 + 8*v/7 = 0. Calculate v.
0, 8
Suppose 3*b**5 - 3*b**4 - 27*b**3 + 15*b**2 + 48*b - 36 = 0. What is b?
-2, 1, 3
Solve 2*q**5/11 + 8*q**4/11 + 10*q**3/11 + 4*q**2/11 = 0.
-2, -1, 0
Find o such that 12*o**5/5 + 4*o**4/5 - 12*o**3 - 4*o**2 + 48*o/5 + 16/5 = 0.
-2, -1, -1/3, 1, 2
Factor 21*r**4 - 48*r**3 + 33*r**2 - 6*r.
3*r*(r - 1)**2*(7*r - 2)
Factor 2*z**3/7 - 36*z**2 + 2370*z/7 - 5800/7.
2*(z - 116)*(z - 5)**2/7
Let -2*r**5 - 42*r**4 - 148*r**3 - 212*r**2 - 138*r - 34 = 0. What is r?
-17, -1
Suppose -3*o**2 - 1002*o - 1992 = 0. What is o?
-332, -2
Determine a, given that 4*a**5/5 - 48*a**4/5 + 112*a**3/5 + 216*a**2/5 - 116*a/5 - 168/5 = 0.
-1, 1, 6, 7
Factor 3*j**4/8 + 21*j**3/8 + 45*j**2/8 + 39*j/8 + 3/2.
3*(j + 1)**3*(j + 4)/8
Factor 12*s**2/17 + 242*s/17 + 910/17.
2*(s + 5)*(6*s + 91)/17
Factor -p**4/2 - 69*p**3/2 - 720*p**2 - 4736*p.
-p*(p + 16)**2*(p + 37)/2
Determine o, given that -o**3 - 608*o**2 - 1209*o + 1818 = 0.
-606, -3, 1
Determine y so that -6*y**3/7 - 124*y**2/7 - 680*y/7 - 400/7 = 0.
-10, -2/3
Let i**2 - 8*i + 7 = 0. Calculate i.
1, 7
Factor 3*u**3/8 - 3*u**2/2 - 39*u/2 - 30.
3*(u - 10)*(u + 2)*(u + 4)/8
What is f in -2*f**3/7 + 24*f**2/7 + 198*f/7 + 324/7 = 0?
-3, 18
Find t such that -12*t**3 - 100*t**2 + 912*t - 560 = 0.
-14, 2/3, 5
Solve -3*l**3 + 51*l**2 - 90*l = 0 for l.
0, 2, 15
Factor 4*u**2 - 760*u + 3700.
4*(u - 185)*(u - 5)
Factor 4*k**3/3 + k**2/2 - 16*k/3 - 2.
(k - 2)*(k + 2)*(8*k + 3)/6
Factor w**2 + 19*w - 20.
(w - 1)*(w + 20)
Factor -r**2/6 - 14*r/3 - 26/3.
-(r + 2)*(r + 26)/6
Factor -5*t**3 - 85*t**2 - 55*t + 3025.
-5*(t - 5)*(t + 11)**2
Factor 5*z**4 + 55*z**3 + 40*z**2 - 100*z.
5*z*(z - 1)*(z + 2)*(z + 