1
Find x, given that 4*x**3 - 224*x**2 + 2900*x + 6728 = 0.
-2, 29
Let z**2/4 + 3*z/2 + 2 = 0. What is z?
-4, -2
Determine o so that -2*o**2 - 428*o + 864 = 0.
-216, 2
Solve 2*f**4/9 - 44*f**3/3 + 632*f**2/3 + 9380*f/9 + 2450/3 = 0 for f.
-3, -1, 35
Solve -3*t**2 - 1734*t - 3456 = 0 for t.
-576, -2
Factor 2*c**3/3 + 4250*c**2/3 + 2255686*c/3 - 2259938/3.
2*(c - 1)*(c + 1063)**2/3
Determine l so that -4*l**5/3 + 47*l**4/3 - 4*l**3 - 214*l**2/3 - 184*l/3 - 11 = 0.
-1, -1/4, 3, 11
Factor 1682*s**2 - 696*s + 72.
2*(29*s - 6)**2
Factor 10*z**2/7 + 2098*z/7 - 60.
2*(z + 210)*(5*z - 1)/7
Factor 5*j**2/3 + 115*j + 340/3.
5*(j + 1)*(j + 68)/3
Factor -t**2/3 + 4*t/3 + 77/3.
-(t - 11)*(t + 7)/3
Determine k so that 2*k**3/7 + 178*k**2/7 + 50*k + 174/7 = 0.
-87, -1
Determine c, given that 98*c**3/3 - 5432*c**2/3 - 3128*c/3 - 448/3 = 0.
-2/7, 56
Determine u so that -3*u**2 - 66*u - 363 = 0.
-11
Factor 4*r**2 + 704*r - 5888.
4*(r - 8)*(r + 184)
Factor 5*a**2 - 400*a + 8000.
5*(a - 40)**2
Factor 2*q**2/9 - 2*q/3 - 12.
2*(q - 9)*(q + 6)/9
Factor n**2/2 + 152*n - 616.
(n - 4)*(n + 308)/2
Factor -5*b**2 + 230*b - 2645.
-5*(b - 23)**2
Factor 5*z**2 - 3380.
5*(z - 26)*(z + 26)
What is k in -5*k**3 + 80*k**2 = 0?
0, 16
Factor -3*t**4/2 - 165*t**3 - 6051*t**2/2 + 83160*t - 381024.
-3*(t - 8)**2*(t + 63)**2/2
Factor 5*o**3 - 45*o**2 - 105*o - 55.
5*(o - 11)*(o + 1)**2
Factor -n**2/2 + 4*n + 9/2.
-(n - 9)*(n + 1)/2
Let 3*w**2 + 34074*w + 96753123 = 0. Calculate w.
-5679
Suppose 16*d**5 + 84*d**4 + 100*d**3 - 60*d**2 - 116*d - 24 = 0. What is d?
-3, -2, -1, -1/4, 1
Find v such that 6*v**5 - 502*v**4 + 818*v**3 + 174*v**2 - 824*v + 328 = 0.
-1, 2/3, 1, 82
Factor 2*r**4 - 84*r**3 + 480*r**2 + 8500*r + 18750.
2*(r - 25)**2*(r + 3)*(r + 5)
Find m such that 9*m**4/4 - 183*m**3/4 + 647*m**2/2 - 880*m + 600 = 0.
1, 6, 20/3
Factor -2*f**4 + 20*f**3 + 48*f**2.
-2*f**2*(f - 12)*(f + 2)
Let 10*o**5/3 - 4*o**4/3 - 12*o**3 - 8*o**2/3 + 26*o/3 + 4 = 0. Calculate o.
-1, -3/5, 1, 2
Factor 45*y**3/2 - 185*y**2/4 + 25*y - 5/4.
5*(y - 1)**2*(18*y - 1)/4
Let k**5 + 3*k**4/4 - k**3/4 = 0. What is k?
-1, 0, 1/4
Factor 13*v**2 - 421*v + 160.
(v - 32)*(13*v - 5)
Factor -2*o**3/3 + 266*o**2/3 + 2*o/3 - 266/3.
-2*(o - 133)*(o - 1)*(o + 1)/3
Factor 2*p**3/5 + 522*p**2/5 + 6864*p + 6760.
2*(p + 1)*(p + 130)**2/5
Solve -2*y**5 - 4*y**4 + 14*y**3 + 16*y**2 - 24*y = 0 for y.
-3, -2, 0, 1, 2
Solve -35*y**5/2 + 871*y**4/2 - 6021*y**3/2 + 12325*y**2/2 + 1100*y - 750 = 0.
-2/5, 2/7, 5, 15
Suppose -5*q**4 + 120*q**3 - 270*q**2 - 5400*q - 10125 = 0. Calculate q.
-3, 15
Determine g so that 4*g**2 - 296*g + 5476 = 0.
37
Let 2*t**2/7 - 10*t + 68/7 = 0. What is t?
1, 34
Factor -3*t**4/5 - 9*t**3/5 - 9*t**2/5 - 3*t/5.
-3*t*(t + 1)**3/5
Suppose 105*h**5 - 93*h**4 - 969*h**3 + 849*h**2 + 216*h - 108 = 0. What is h?
-3, -2/5, 2/7, 1, 3
Determine a so that -5*a**2 - 75*a = 0.
-15, 0
Solve -3*p**4/2 - 15*p**3 - 81*p**2/2 - 27*p = 0.
-6, -3, -1, 0
Determine a so that -2*a**2/13 - 736*a/13 + 738/13 = 0.
-369, 1
Factor 12*s**3 - 231*s**2 + 633*s - 144.
3*(s - 16)*(s - 3)*(4*s - 1)
Let 6845*q**3 - 14800*q**2 + 2265*q - 90 = 0. What is q?
3/37, 2
Factor 32*n**2 - 332*n + 120.
4*(n - 10)*(8*n - 3)
What is i in -2*i**5 + 2*i**4 + 30*i**3 + 46*i**2 + 20*i = 0?
-2, -1, 0, 5
Factor -3*d**2 + 87*d - 234.
-3*(d - 26)*(d - 3)
Suppose -9*w**4/4 - 75*w**3 - 45*w**2/2 + 75*w + 99/4 = 0. Calculate w.
-33, -1, -1/3, 1
Factor -2*n**4 + 6*n**3 + 6*n**2 - 22*n + 12.
-2*(n - 3)*(n - 1)**2*(n + 2)
Suppose -27*y**3/5 - 16812*y**2/5 + 22452*y/5 - 7488/5 = 0. Calculate y.
-624, 2/3
Factor -b**5 + 6*b**4 + 11*b**3 - 60*b**2 - 100*b.
-b*(b - 5)**2*(b + 2)**2
Factor -2*m**2/3 + 132*m + 7310/3.
-2*(m - 215)*(m + 17)/3
What is w in -44*w**3/9 + 70*w**2/9 + 4*w = 0?
-9/22, 0, 2
Factor -2*u**4 - 8*u**3 - 6*u**2 + 8*u + 8.
-2*(u - 1)*(u + 1)*(u + 2)**2
Suppose 2*p**3/7 + 1118*p**2/7 + 1116*p/7 = 0. What is p?
-558, -1, 0
Find g such that -4*g**2/3 + 92*g/3 = 0.
0, 23
Factor 4*q**4 + 1916*q**3 + 28140*q**2 + 139700*q + 232000.
4*(q + 5)**3*(q + 464)
Find k, given that -2*k**4/11 + 6*k**3/11 + 2*k**2/11 - 6*k/11 = 0.
-1, 0, 1, 3
Suppose -4*u**3 - 68*u**2 - 296*u - 352 = 0. What is u?
-11, -4, -2
Determine y, given that y**4/3 - 2*y**3 - 199*y**2/3 + 68*y = 0.
-12, 0, 1, 17
Solve 5*o**4 + 5*o**3 - 5*o**2 - 5*o = 0 for o.
-1, 0, 1
Solve 2*v**3/15 + 106*v**2/15 + 90*v - 486/5 = 0 for v.
-27, 1
Factor -5*y**2/2 - 225*y - 445/2.
-5*(y + 1)*(y + 89)/2
Find i such that -8*i**4 - 14920*i**3/3 - 6948986*i**2/9 + 2320060*i/9 - 193442/9 = 0.
-311, 1/6
What is o in -3*o**4/8 - 9*o**3/8 + 3*o**2/8 + 9*o/8 = 0?
-3, -1, 0, 1
Factor -10*y**3 - 112*y**2 - 262*y - 48.
-2*(y + 3)*(y + 8)*(5*y + 1)
Determine c, given that -3*c**4/2 - 45*c**3 + 48*c**2 + 45*c - 93/2 = 0.
-31, -1, 1
Let -3*o**4/5 + 537*o**3/5 - 6372*o**2 + 123120*o + 129600 = 0. Calculate o.
-1, 60
Find b, given that 4*b**3 - 1460*b**2 + 132492*b + 133956 = 0.
-1, 183
Determine y so that -55*y**2 - 35*y + 20 = 0.
-1, 4/11
Factor -4*x**3 - 36*x**2 - 92*x - 60.
-4*(x + 1)*(x + 3)*(x + 5)
Determine s, given that 2*s**3 - 662*s**2 + 51680*s + 520200 = 0.
-9, 170
Factor -361*m**5/4 + 3173*m**4/4 - 9067*m**3/4 + 7731*m**2/4 + 486*m + 27.
-(m - 3)**3*(19*m + 2)**2/4
Factor -5*f**2 + 320*f - 915.
-5*(f - 61)*(f - 3)
Solve 21*t**4 - 636*t**3 + 4317*t**2 - 4710*t + 1008 = 0 for t.
2/7, 1, 8, 21
What is z in -5*z**4 - 85*z**3 = 0?
-17, 0
Factor 124*b**2 - 178*b - 12.
2*(2*b - 3)*(31*b + 2)
Factor -2*l**3 - 32*l**2/3 + 26*l/3 + 4.
-2*(l - 1)*(l + 6)*(3*l + 1)/3
Factor b**4/7 - 20*b**3/7 - 21*b**2 - 234*b/7.
b*(b - 26)*(b + 3)**2/7
Factor 3*n**5 - 33*n**4 + 57*n**3 - 27*n**2.
3*n**2*(n - 9)*(n - 1)**2
Factor -2*p**5/7 + 116*p**4/7 - 1562*p**3/7 - 3480*p**2/7 - 1800*p/7.
-2*p*(p - 30)**2*(p + 1)**2/7
Suppose -10*u**3 - 215*u**2 - 765*u + 990 = 0. Calculate u.
-33/2, -6, 1
Factor s**4 + 5*s**3 - 3*s**2 - 13*s + 10.
(s - 1)**2*(s + 2)*(s + 5)
Factor 8*u**3 + 36*u**2 + 16*u.
4*u*(u + 4)*(2*u + 1)
Factor c**5/4 + 3*c**4 + c**3/2 - 22*c**2 + 117*c/4 - 11.
(c - 1)**3*(c + 4)*(c + 11)/4
Determine t so that 2*t**3 - 8*t**2 - 2*t + 8 = 0.
-1, 1, 4
Determine x, given that -3*x**4/4 + 7*x**3 + 59*x**2/4 - 10*x - 11 = 0.
-2, -2/3, 1, 11
Factor 2*g**2/5 - 2*g/5.
2*g*(g - 1)/5
Factor 98*w**2 + 84*w + 18.
2*(7*w + 3)**2
Let -3*m**5 + 96*m**4 - 345*m**3 + 240*m**2 + 348*m - 336 = 0. What is m?
-1, 1, 2, 28
Factor -4*b**4 - 24*b**3 + 60*b**2 - 32*b.
-4*b*(b - 1)**2*(b + 8)
Let 4*l**4 - 8*l**3 - 324*l**2 + 8*l + 320 = 0. What is l?
-8, -1, 1, 10
Determine u, given that 2*u**3/11 - 94*u**2/11 + 560*u/11 + 14112/11 = 0.
-9, 28
Let -4*u**3 + 16*u**2 - 16*u = 0. Calculate u.
0, 2
Factor -2*p**4/3 + 142*p**3/3 + 146*p**2 + 442*p/3 + 148/3.
-2*(p - 74)*(p + 1)**3/3
Find p such that -p**4 - 6*p**3 + 8*p**2 + 96*p + 128 = 0.
-4, -2, 4
Solve -4*z**2 - 420*z + 424 = 0.
-106, 1
What is b in 2*b**4 + 8*b**3 - 10*b**2 = 0?
-5, 0, 1
Find g such that 2*g**4 - 26*g**3 + 96*g**2 - 72*g = 0.
0, 1, 6
Factor 2*w**3/5 + 42*w**2 + 414*w/5 + 206/5.
2*(w + 1)**2*(w + 103)/5
Find t, given that 2*t**2 - 98*t - 1320 = 0.
-11, 60
Solve -3*o**2 - 30*o + 33 = 0 for o.
-11, 1
Factor 2*f**3/3 + 50*f**2/3 + 188*f/3 - 80.
2*(f - 1)*(f + 6)*(f + 20)/3
Let -2*i**2/11 + 2/11 = 0. Calculate i.
-1, 1
Let 2*q**2 + 246*q - 1548 = 0. What is q?
-129, 6
Factor -2*m**2 + 18*m + 44.
-2*(m - 11)*(m + 2)
Find d such that 5*d**5 - 50*d**4 - 405*d**3 + 450*d**2 = 0.
-6, 0, 1, 15
Factor a**2/5 + 13*a/5.
a*(a + 13)/5
Determine w, given that -2*w**4 - 1648*w**3 - 3290*w**2 - 1644*w = 0.
-822, -1, 0
Determine o, given that -25*o**3 + 395*o**2 - 650*o + 280 = 0.
4/5, 1, 14
Factor 65*l**2 + 95*l + 30.
5*(l + 1)*(13*l + 6)
Determine f so that 4*f**2 - 672*f + 28224 = 0.
84
Solve 4*q**2 - 12484*q - 24984 = 0.
-2, 3123
Solve 5*g**4 - 278*g**3/7 + 544*g**2/7 + 32*g/7 = 0 for g.
-2/35, 0, 4
Factor -4*x**3/9 + 68*x**2/3 + 4*x/9 - 68/3.
-4*(x - 51)*(x - 1)*(x + 1)/9
Factor 2*c**2/9 + 292*c/9 + 10658/9.
2*(c + 73)**2/9
Let -5*p**5 + 15*p**4 + 640*p**3 + 3420*p**2 + 6880*p + 4800 = 0. Calculate p.
-4, -2, 15
Factor -m**3 - 38*m**2 - 476*m - 1960.
-(m + 10)*(m + 14)**2
Solve 24*c**4 - 9*c**3 = 0 for c.
0, 3/8
Solve 3*g**4/2 + 54*g**3 - 345*g**2/2 + 117*g = 0 for g.
-39, 0, 1, 2
Solve 309*z**3 - 