)*(z - 17)**2/3
Determine v so that 2*v**2/5 - 226*v/5 + 224/5 = 0.
1, 112
Solve -2*k**3 - 34*k**2 + 76*k = 0.
-19, 0, 2
Suppose 15*m**4 - 4377*m**3 + 314439*m**2 + 711333*m + 129654 = 0. Calculate m.
-2, -1/5, 147
Find p, given that -4*p**2 - 40*p - 84 = 0.
-7, -3
Solve -8*l**4 + 8428*l**3 - 4452073*l**2/2 + 3324846*l - 1245042 = 0.
3/4, 526
Determine c so that 2*c**2 - 906*c = 0.
0, 453
Factor 5*h**4 - 1270*h**3 - 1275*h**2.
5*h**2*(h - 255)*(h + 1)
Factor -i**4 + 4*i**3 + 21*i**2 - 100*i + 100.
-(i - 5)*(i - 2)**2*(i + 5)
Factor -2*d**3/5 + 6*d**2/5 + 72*d/5 + 64/5.
-2*(d - 8)*(d + 1)*(d + 4)/5
Let 15*k**5 + 55*k**4 - 2360*k**3 - 4020*k**2 + 97600*k - 32000 = 0. What is k?
-10, 1/3, 8
Let 12*x**2/5 - 666*x/5 + 1284/5 = 0. What is x?
2, 107/2
Suppose -6*c**2 + 786*c/5 - 156/5 = 0. What is c?
1/5, 26
Let 4*r**4 + 40*r**3 + 128*r**2 + 152*r + 60 = 0. What is r?
-5, -3, -1
Factor 2*y**3 - 16*y**2 - 152*y - 224.
2*(y - 14)*(y + 2)*(y + 4)
Determine k so that -3*k**2 + 207*k + 1110 = 0.
-5, 74
Factor -2*l**2/3 - 3404*l/3 - 1448402/3.
-2*(l + 851)**2/3
Factor -s**2/3 - 94*s/3 - 1120/3.
-(s + 14)*(s + 80)/3
Determine g so that g**4/3 - 29*g**3/3 + 50*g**2 - 284*g/3 + 184/3 = 0.
2, 23
Suppose o**4 - 13*o**3 - 156*o**2 - 252*o = 0. Calculate o.
-6, -2, 0, 21
Determine f so that -4*f**3/5 + 16*f**2 - 268*f/5 + 192/5 = 0.
1, 3, 16
What is j in 4*j**2/3 + 104*j/3 + 64 = 0?
-24, -2
Solve 2*c**3/9 + 46*c**2/9 - 208*c/9 + 24 = 0.
-27, 2
Factor 3*d**4 + 24*d**3 + 51*d**2 + 30*d.
3*d*(d + 1)*(d + 2)*(d + 5)
Factor p**5 - 7*p**4 - 70*p**3 - 104*p**2.
p**2*(p - 13)*(p + 2)*(p + 4)
Factor s**4 - 24*s**3 + 88*s**2 + 672*s + 784.
(s - 14)**2*(s + 2)**2
Factor -c**2 - 10*c + 231.
-(c - 11)*(c + 21)
Determine o so that o**2/6 - 880*o/3 + 387200/3 = 0.
880
Let 2*g**5/5 - 4*g**4/5 - 102*g**3/5 + 448*g**2/5 - 224*g/5 - 768/5 = 0. Calculate g.
-8, -1, 3, 4
Let 3*s**5/2 + 249*s**4/4 - 129*s**3/4 - 63*s**2/2 = 0. Calculate s.
-42, -1/2, 0, 1
Factor -5*q**4 + 10*q**3 - 5*q**2.
-5*q**2*(q - 1)**2
Let 867*z**3 + 89505*z**2 + 21024*z + 1236 = 0. What is z?
-103, -2/17
Suppose 21*l**5/2 + 1509*l**4/2 + 18036*l**3 + 142560*l**2 - 20736*l = 0. Calculate l.
-24, 0, 1/7
Find w, given that -6*w**4/5 + 51*w**3/5 - 63*w**2/5 - 3*w/5 + 21/5 = 0.
-1/2, 1, 7
Factor -x**3/4 + 521*x**2 - 271441*x.
-x*(x - 1042)**2/4
Factor -2*y**3/3 - 12*y**2.
-2*y**2*(y + 18)/3
Find r, given that r**2/4 + r - 5/4 = 0.
-5, 1
Factor -5*t**2 - 2280*t - 4540.
-5*(t + 2)*(t + 454)
Determine x, given that -2*x**5/7 + 12*x**4/7 - 8*x**3/7 - 12*x**2/7 + 10*x/7 = 0.
-1, 0, 1, 5
Suppose o**5/4 - o**4/4 - 5*o**3/2 - 2*o**2 = 0. What is o?
-2, -1, 0, 4
Let 26*k**2 - 22*k - 4 = 0. What is k?
-2/13, 1
Factor 6*q**2 + 9*q.
3*q*(2*q + 3)
Factor -i**4/9 - i**3/9 + 11*i**2/3 - 59*i/9 + 28/9.
-(i - 4)*(i - 1)**2*(i + 7)/9
Factor 63*v**3 + 138*v**2 + 93*v + 18.
3*(v + 1)*(3*v + 1)*(7*v + 6)
Let u**4/2 - 166*u**3 - 2019*u**2/2 - 1521*u = 0. Calculate u.
-3, 0, 338
Find w, given that 5*w**2/3 - 95*w/3 + 30 = 0.
1, 18
Find o, given that 2*o**3 + 10*o**2 - 154*o - 882 = 0.
-7, 9
Find n such that -3*n**4 + 6*n**3 + 243*n**2 - 6*n - 240 = 0.
-8, -1, 1, 10
Determine x so that -2*x**5/7 - 86*x**4/7 - 908*x**3/7 - 2756*x**2/7 + 130*x + 406 = 0.
-29, -7, -1, 1
Factor 2*x**4/7 + 4*x**3/7 - 6*x**2/7.
2*x**2*(x - 1)*(x + 3)/7
Factor d**3/4 + 3*d**2/4 - 429*d/4 + 3025/4.
(d - 11)**2*(d + 25)/4
Factor -2*z**5/7 + 198*z**4/7 - 7206*z**3/7 + 115594*z**2/7 - 766992*z/7 + 1756008/7.
-2*(z - 29)**3*(z - 6)**2/7
Factor -t**3 + 3*t**2 + 4*t.
-t*(t - 4)*(t + 1)
Solve -2*s**5 - 38*s**4 + 4*s**3 + 76*s**2 - 2*s - 38 = 0.
-19, -1, 1
Find s, given that -3*s**3 + 27*s**2 - 18*s - 48 = 0.
-1, 2, 8
Solve -n**2 - 6041*n + 6042 = 0.
-6042, 1
Factor 3*p**4 - 150*p**3 + 2019*p**2 - 3600*p + 1728.
3*(p - 24)**2*(p - 1)**2
Solve 2*i**4/9 - 8*i**3/9 - 20*i**2/9 + 56*i/9 - 10/3 = 0.
-3, 1, 5
Factor 5*o**4 + 705*o**3 - 5*o**2 - 705*o.
5*o*(o - 1)*(o + 1)*(o + 141)
Let 32*o**5 + 1688*o**4 + 21172*o**3 - 28940*o**2 + 3132*o + 2916 = 0. What is o?
-27, -1/4, 1/2, 1
Factor -58*t**3 + 416*t**2 - 544*t - 768.
-2*(t - 4)**2*(29*t + 24)
Factor 39*h**2/2 - 19*h - 1/2.
(h - 1)*(39*h + 1)/2
Let 2*u**5/3 + 10*u**4 + 26*u**3/3 - 10*u**2 - 28*u/3 = 0. What is u?
-14, -1, 0, 1
Factor -3*p**3 - 12*p**2 + 348*p + 720.
-3*(p - 10)*(p + 2)*(p + 12)
Let -8*c**4 + 6*c**3 + 24*c**2 - 34*c + 12 = 0. What is c?
-2, 3/4, 1
Factor -4*h**4 - 24*h**3 - 48*h**2 - 40*h - 12.
-4*(h + 1)**3*(h + 3)
Factor 5*r**4 - 80*r**3 - 1440*r**2 + 34560*r - 172800.
5*(r - 12)**3*(r + 20)
Factor -5*x**2 - 1425*x + 2870.
-5*(x - 2)*(x + 287)
Factor -2*l**2/5 - 4442*l/5 + 4444/5.
-2*(l - 1)*(l + 2222)/5
Find u, given that -4*u**3/5 + 28*u**2/5 + 196*u/5 - 1372/5 = 0.
-7, 7
Factor -4*r**4 - 8*r**3 + 28*r**2 - 16*r.
-4*r*(r - 1)**2*(r + 4)
Factor 4*t**2 + 2260*t + 2256.
4*(t + 1)*(t + 564)
Find s, given that -3*s**5/2 + 27*s**4 - 42*s**3 - 108*s**2 + 192*s = 0.
-2, 0, 2, 16
Find k, given that 4*k**2 - 4624*k + 1336336 = 0.
578
Factor 4*f**4/5 + 204*f**3/5 - 4*f**2/5 - 204*f/5.
4*f*(f - 1)*(f + 1)*(f + 51)/5
Find g such that 6*g**3/11 + 312*g**2/11 = 0.
-52, 0
Factor 10*i**3/13 + 32*i**2/13 + 2*i + 4/13.
2*(i + 1)*(i + 2)*(5*i + 1)/13
What is s in -s**3 - 96*s**2 - 3072*s - 32768 = 0?
-32
What is j in -44*j**4 + 168*j**3 - 12*j**2 - 272*j - 48 = 0?
-1, -2/11, 2, 3
Solve a**2 - a - 12 = 0.
-3, 4
Solve 2*p**4 + 96*p**3 - 306*p**2 + 8*p + 408 = 0 for p.
-51, -1, 2
Determine l so that 5*l**3 + 110*l**2 + 805*l + 1960 = 0.
-8, -7
What is w in -15*w**3 + 19*w**2 - 4*w = 0?
0, 4/15, 1
Factor -r**3/6 + 11*r**2/6 + 13*r/3.
-r*(r - 13)*(r + 2)/6
Factor 2*n**4/3 - 4*n**3 - 32*n**2/3.
2*n**2*(n - 8)*(n + 2)/3
Determine z so that 2*z**2/7 + 24*z/7 - 128/7 = 0.
-16, 4
Factor p**5/6 + 2*p**4 + 5*p**3/6 - 57*p**2 - 126*p + 180.
(p - 5)*(p - 1)*(p + 6)**3/6
Determine s, given that s**2/5 - 4*s/5 - 1 = 0.
-1, 5
Find f such that 2*f**2 - 1046*f - 1048 = 0.
-1, 524
Let -4*f**4 - 8*f**3 + 44*f**2 + 48*f - 144 = 0. Calculate f.
-3, 2
Solve 4*b**4 - 256*b**3 + 4340*b**2 - 7688*b = 0 for b.
0, 2, 31
Suppose 5*j**2 + 275*j + 3720 = 0. Calculate j.
-31, -24
Find t such that 4*t**3 - 196*t**2 + 2496*t - 2304 = 0.
1, 24
Factor 2*u**3/11 - 40*u**2/11 - 42*u/11.
2*u*(u - 21)*(u + 1)/11
Factor -x**2 - 56*x.
-x*(x + 56)
Determine j, given that -3*j**2 + 474*j - 18723 = 0.
79
Factor q**2 + 8*q.
q*(q + 8)
Suppose 2*u**3 - 246*u**2 + 7182*u + 23814 = 0. Calculate u.
-3, 63
Factor 4*z**2 + 15696*z + 15397776.
4*(z + 1962)**2
Factor -i**2/2 + 127*i - 753/2.
-(i - 251)*(i - 3)/2
Find j, given that 64*j**4 + 96*j**3 - 92*j**2 - 60*j - 8 = 0.
-2, -1/4, 1
Find i, given that 4*i**4 + 172*i**3 + 476*i**2 - 172*i - 480 = 0.
-40, -3, -1, 1
Factor -32*f**2/7 + 844*f + 2220/7.
-4*(f - 185)*(8*f + 3)/7
Let -3*r**3 + 30*r**2 + 72*r = 0. What is r?
-2, 0, 12
Let -9*n**2 + 2397*n - 798 = 0. Calculate n.
1/3, 266
Factor 11*i**2 + 13*i/2 - 6.
(2*i - 1)*(11*i + 12)/2
Factor -5*m**2 + 315*m - 310.
-5*(m - 62)*(m - 1)
Factor -2*s**3/9 - 18*s**2 - 946*s/3 + 18490/9.
-2*(s - 5)*(s + 43)**2/9
Suppose 6*o**3 - 2*o**2 = 0. Calculate o.
0, 1/3
Factor -2*u**4 + 220*u**3.
-2*u**3*(u - 110)
Find d, given that -5*d**4 - 695*d**3 - 23800*d**2 + 24500*d = 0.
-70, 0, 1
Factor 13*p**3/10 + 12*p**2/5 - 2*p/5.
p*(p + 2)*(13*p - 2)/10
Solve x**3 + 20*x**2 - 69*x = 0 for x.
-23, 0, 3
Solve -r**2/4 + 87*r/2 - 1485/4 = 0.
9, 165
Factor 2*x**2/13 - 262*x/13 - 264/13.
2*(x - 132)*(x + 1)/13
Factor x**2/4 - 13*x/2.
x*(x - 26)/4
Factor 196*q**3/9 - 448*q**2/9 + 116*q/9 - 8/9.
4*(q - 2)*(7*q - 1)**2/9
Find u, given that -4*u**4/5 + 6136*u**3/5 + 18432*u**2/5 + 3688*u + 6148/5 = 0.
-1, 1537
What is t in -12*t**5/11 - 2*t**4/11 + 190*t**3/11 - 218*t**2/11 - 6*t + 108/11 = 0?
-9/2, -2/3, 1, 3
Let b**3/6 - 23*b**2/2 + 34*b/3 = 0. Calculate b.
0, 1, 68
Factor 48*b**4 + 264*b**3 + 507*b**2 + 396*b + 108.
3*(b + 2)**2*(4*b + 3)**2
Determine m, given that -9*m**3 + 28*m**2 - 3*m = 0.
0, 1/9, 3
Find b such that 15*b**3 - 65*b**2 - 55*b + 25 = 0.
-1, 1/3, 5
Solve 2*s**4 + 38*s**3 - 276*s**2 + 584*s - 400 = 0.
-25, 2
Solve -150*u**5 + 195*u**4 + 42*u**3 - 69*u**2 - 18*u = 0 for u.
-2/5, -3/10, 0, 1
Factor 2*k**2 + 180*k + 688.
2*(k + 4)*(k + 86)
Find f, given that 12*f**5 - 45*f**4 + 36*f**3 + 1