*(j + 6)/7
Solve -w**4/2 + 2*w**3 + 7*w**2/2 - 11*w - 12 = 0 for w.
-2, -1, 3, 4
Find a such that a**4 + 41*a**3 + 352*a**2 - 1452*a = 0.
-22, 0, 3
Factor 5*o**3 + 105*o**2 + 600*o + 500.
5*(o + 1)*(o + 10)**2
Factor 2*m**4/3 - 26*m**3/3.
2*m**3*(m - 13)/3
Factor 15*c**5 + 18*c**4 - 33*c**3/5 - 36*c**2/5 + 12*c/5.
3*c*(c + 1)**2*(5*c - 2)**2/5
Find r, given that r**2 - 324*r + 26244 = 0.
162
Let -5*x**5 - 85*x**4 - 450*x**3 - 540*x**2 + 1080*x = 0. What is x?
-6, 0, 1
Factor 2*y**3 + 372*y**2 + 17664*y + 33856.
2*(y + 2)*(y + 92)**2
What is w in -4*w**5/13 - 118*w**4/13 - 162*w**3/13 + 11846*w**2/13 - 418*w - 17328/13 = 0?
-19, -1, 3/2, 8
Factor 3*b**2 - 9*b.
3*b*(b - 3)
Factor 28227*j**3 - 2328*j**2 + 48*j.
3*j*(97*j - 4)**2
Suppose -4*a**4 + 92*a**3/3 + 280*a**2/3 + 16*a/3 - 160/3 = 0. Calculate a.
-2, -1, 2/3, 10
Factor 2*a**2/13 + 2*a.
2*a*(a + 13)/13
Determine s so that 33*s**3 - 373*s**2/2 + 228*s + 207/2 = 0.
-23/66, 3
Let -4*l**5 - 2*l**4 + 255*l**3/4 + 32*l**2 + 4*l = 0. What is l?
-4, -1/4, 0, 4
Factor 1058*p**2 - 72128*p + 1229312.
2*(23*p - 784)**2
Let m**2/3 + 41*m/3 - 44 = 0. Calculate m.
-44, 3
Factor i**2/4 + 45*i/4 - 47/2.
(i - 2)*(i + 47)/4
Factor -2*j**3 - 24*j**2 - 22*j.
-2*j*(j + 1)*(j + 11)
Solve 5*m**2 + 20*m - 25 = 0.
-5, 1
Factor -4*o**3 - 16*o**2 - 20*o - 8.
-4*(o + 1)**2*(o + 2)
Let -2*h**3/7 + 18*h**2/7 + 2*h/7 - 18/7 = 0. What is h?
-1, 1, 9
Factor -5*v**4 + 165*v**3 - 600*v**2 + 580*v.
-5*v*(v - 29)*(v - 2)**2
Factor 4*u**2 - 52*u + 120.
4*(u - 10)*(u - 3)
Determine i, given that -4*i**4/5 + 488*i**3/5 + 2592*i**2/5 - 6632*i/5 + 3556/5 = 0.
-7, 1, 127
Let c**3 + 125*c**2 + 4200*c + 18000 = 0. What is c?
-60, -5
Determine v, given that -2*v**5/9 + 38*v**4/9 - 202*v**3/9 + 298*v**2/9 - 44*v/3 = 0.
0, 1, 6, 11
Suppose 3*s**5 + 81*s**4 - 183*s**3 - 249*s**2 + 360*s + 348 = 0. What is s?
-29, -1, 2
Factor -80*j**2 + 2804*j - 140.
-4*(j - 35)*(20*j - 1)
Suppose -2*m**3/15 + 4*m**2/3 + 122*m/15 - 28/3 = 0. What is m?
-5, 1, 14
Determine h so that -2*h**5/7 + 418*h**4/7 - 27894*h**3/7 + 629406*h**2/7 - 4246992*h/7 - 4904712/7 = 0.
-1, 18, 87
Factor -2*v**5 - 2212*v**4 - 812528*v**3 - 98029280*v**2 + 401938400*v - 405224000.
-2*(v - 2)**2*(v + 370)**3
Factor 4*x**4 - 648*x**2 - 3584*x - 2940.
4*(x - 15)*(x + 1)*(x + 7)**2
Factor 224*o**3 - 236*o**2 + 12*o.
4*o*(o - 1)*(56*o - 3)
Solve -i**2/4 + 7*i/4 + 2 = 0 for i.
-1, 8
Factor -12*k**4 - 1476*k**3 - 47547*k**2 - 132840*k - 97200.
-3*(k + 60)**2*(2*k + 3)**2
Suppose -3*g**5 + 3*g**4 + 66*g**3 + 132*g**2 + 72*g = 0. What is g?
-2, -1, 0, 6
Let -l**4/3 - 10*l**3 - 253*l**2/3 - 140*l - 196/3 = 0. Calculate l.
-14, -1
Factor -2*b**2/9 - 2*b/9 + 8/3.
-2*(b - 3)*(b + 4)/9
Factor -r**3/3 + 83*r**2/3 - 560*r - 588.
-(r - 42)**2*(r + 1)/3
Factor -5*a**2 - 365*a.
-5*a*(a + 73)
What is g in 3*g**3/4 - 87*g**2/4 + 315*g/2 = 0?
0, 14, 15
Find f such that 196*f**3 - 122584*f**2 - 70096*f - 10016 = 0.
-2/7, 626
Factor 2*n**5 + 20*n**4 + 66*n**3 + 72*n**2.
2*n**2*(n + 3)**2*(n + 4)
Let -20*s**3 - 365*s**2 + 290*s + 95 = 0. Calculate s.
-19, -1/4, 1
Find f such that 3*f**2/4 + 183*f/2 + 11163/4 = 0.
-61
Solve -146*k**5/5 + 588*k**4/5 - 308*k**3/5 - 576*k**2/5 + 454*k/5 - 12/5 = 0.
-1, 2/73, 1, 3
Let 5*h**4 - 185*h**3 + 910*h**2 + 15620*h + 14520 = 0. What is h?
-6, -1, 22
Factor -4*b**2 + 96*b + 1728.
-4*(b - 36)*(b + 12)
Determine q, given that q**3 - 36*q**2 + 35*q = 0.
0, 1, 35
Solve 44*s**4 - 28*s**3 - 368*s**2 + 400*s + 192 = 0 for s.
-3, -4/11, 2
Factor 4*r**2 + 1424*r + 126736.
4*(r + 178)**2
Find v, given that 15*v**5 + 545*v**4 + 2625*v**3 + 4595*v**2 + 3120*v + 620 = 0.
-31, -2, -1, -1/3
Factor s**3 + 62*s**2/5 + 79*s/5 + 22/5.
(s + 1)*(s + 11)*(5*s + 2)/5
Suppose -3*v**4/4 + 15*v**3/4 - 15*v**2/4 - 15*v/4 + 9/2 = 0. Calculate v.
-1, 1, 2, 3
Factor -1058*l**3 + 966*l**2 + 90*l + 2.
-2*(l - 1)*(23*l + 1)**2
Solve 4*l**2 - 392*l + 9604 = 0.
49
Factor o**5/4 + 71*o**4/4 + 1363*o**3/4 + 3673*o**2/4 + 884*o + 289.
(o + 1)**3*(o + 34)**2/4
Solve 4*l**4 - 172*l**3 + 2080*l**2 - 4800*l = 0 for l.
0, 3, 20
What is j in -3*j**4 + 107*j**3 + 1341*j**2 + 3885*j + 1150 = 0?
-5, -1/3, 46
What is u in u**3/5 - 103*u**2/5 + 591*u/5 - 873/5 = 0?
3, 97
Factor 2*h**5/7 + 36*h**4/7 + 96*h**3/7 + 92*h**2/7 + 30*h/7.
2*h*(h + 1)**3*(h + 15)/7
Determine t so that 3*t**3 - 1632*t**2 - 1635*t = 0.
-1, 0, 545
Let 2*a**4/7 + 92*a**3/7 + 738*a**2/7 - 7592*a/7 + 6760/7 = 0. Calculate a.
-26, 1, 5
Factor 4*u**5 - 44*u**4 + 168*u**3 - 216*u**2 - 108*u + 324.
4*(u - 3)**4*(u + 1)
Factor 5*j**2 + 160*j + 675.
5*(j + 5)*(j + 27)
Find z, given that -z**5/8 + 15*z**4/8 - 27*z**3/8 - 239*z**2/8 - 9*z + 81/2 = 0.
-2, 1, 9
Factor -4*g**2/3 + 8*g + 36.
-4*(g - 9)*(g + 3)/3
Factor -3*s**5/7 - 102*s**4/7 + 213*s**3/7 - 108*s**2/7.
-3*s**2*(s - 1)**2*(s + 36)/7
Factor -4*o**2 + 40*o - 84.
-4*(o - 7)*(o - 3)
Determine g, given that -4*g**4 + 112*g**3 - 556*g**2 - 672*g = 0.
-1, 0, 8, 21
Factor -o**2/3 + 122*o/3 - 121/3.
-(o - 121)*(o - 1)/3
What is c in c**4/3 - 12*c**3 - 41*c**2/3 + 48*c + 148/3 = 0?
-2, -1, 2, 37
Determine b, given that b**2/11 + 38*b/11 = 0.
-38, 0
Suppose 2*k**4/9 - 64*k**3/9 + 148*k**2/3 + 1088*k/9 + 578/9 = 0. Calculate k.
-1, 17
What is w in 10*w**4 + 54*w**3 - 110*w**2 + 18*w + 28 = 0?
-7, -2/5, 1
Solve -2*x**5 - 1234*x**4/3 - 818*x**3/3 + 410*x**2/3 = 0.
-205, -1, 0, 1/3
Determine w so that 9*w**2/2 + 12813*w/2 - 2136 = 0.
-1424, 1/3
Factor 4*q**4 - 4*q**3 - 64*q**2 - 80*q.
4*q*(q - 5)*(q + 2)**2
Determine g so that g**2/3 - 5*g - 76/3 = 0.
-4, 19
Find h, given that 2106*h**5 - 3915*h**4 + 2547*h**3 - 672*h**2 + 60*h = 0.
0, 5/26, 1/3, 2/3
Solve 81*a**3/10 - 171*a**2/2 + 1183*a/10 - 441/10 = 0 for a.
7/9, 9
Factor -3*n**5 - 30*n**4 + 150*n**3 - 240*n**2 + 165*n - 42.
-3*(n - 1)**4*(n + 14)
Solve -l**4 + 21*l**3 + 72*l**2 = 0.
-3, 0, 24
Find x such that -3*x**3/7 + 3*x**2 + 180*x/7 = 0.
-5, 0, 12
Suppose 3380*r**3 - 2080*r**2 - 1175*r - 125 = 0. Calculate r.
-5/26, 1
Determine a, given that -3*a**3/4 + 9*a**2/4 - 9*a/4 + 3/4 = 0.
1
Determine u so that -u**4/5 + 178*u**3/5 - 8097*u**2/5 + 15664*u/5 - 7744/5 = 0.
1, 88
Factor -2*v**4/3 + 2*v**3 - 4*v**2/3.
-2*v**2*(v - 2)*(v - 1)/3
Find h such that h**4/3 - 202*h**3/3 + 796*h**2/3 - 264*h = 0.
0, 2, 198
What is a in -3*a**4/4 + 51*a**3/4 - 93*a**2/4 + 45*a/4 = 0?
0, 1, 15
Factor 2*s**2/7 - 6*s/7.
2*s*(s - 3)/7
Factor -x**3/5 - 9*x**2 + 260*x.
-x*(x - 20)*(x + 65)/5
Solve -5*y**2 + 330*y + 335 = 0.
-1, 67
Let 4*z**2 - 5560*z + 1932100 = 0. What is z?
695
Suppose -28*y**5 - 944*y**4 - 6700*y**3 + 23160*y**2 + 21168*y - 7776 = 0. Calculate y.
-18, -1, 2/7, 3
Find x such that -2*x**4 - 28*x**3 - 24*x**2 + 28*x + 26 = 0.
-13, -1, 1
Factor -23*z**2/4 - 25*z/4 - 1/2.
-(z + 1)*(23*z + 2)/4
Suppose -l**3/2 - 5757*l**2 - 33143049*l/2 = 0. What is l?
-5757, 0
Factor i**4/3 + 133*i**3/3 + 1537*i**2 + 12155*i/3 - 16900/3.
(i - 1)*(i + 4)*(i + 65)**2/3
Find u, given that 2*u**4 - 1442*u**3 + 1440*u**2 = 0.
0, 1, 720
Factor 12*t**4 - 96*t**3 - 51*t**2.
3*t**2*(2*t - 17)*(2*t + 1)
Factor -2*i**2 + 416*i - 21632.
-2*(i - 104)**2
Solve -2*a**5/7 - 74*a**4/7 - 936*a**3/7 - 4320*a**2/7 - 3456*a/7 = 0.
-12, -1, 0
Factor w**3/6 + 5*w**2/6 - w/6 - 5/6.
(w - 1)*(w + 1)*(w + 5)/6
Determine t, given that t**2/2 - 1115*t - 2232 = 0.
-2, 2232
What is w in 2*w**5/9 + 2*w**4 - 8*w**3/3 - 40*w**2/9 = 0?
-10, -1, 0, 2
Factor 3*p**3 - 27*p**2 + 72*p - 60.
3*(p - 5)*(p - 2)**2
Factor v**3/5 + 16*v**2/5 + 48*v/5.
v*(v + 4)*(v + 12)/5
Find i, given that -5*i**4/4 - 2075*i**3/4 - 53560*i**2 + 54080*i = 0.
-208, 0, 1
Factor -a**3/4 - 23*a**2/2 - 649*a/4 - 726.
-(a + 11)**2*(a + 24)/4
Determine u, given that 2*u**3 - 12*u**2 - 8*u + 48 = 0.
-2, 2, 6
Factor h**2/5 - 56*h/5 + 11.
(h - 55)*(h - 1)/5
Find r such that -2*r**2/5 - 232*r/5 + 234/5 = 0.
-117, 1
Find g, given that -195*g**2 - 2337*g/4 + 9/4 = 0.
-3, 1/260
Factor -5*f**3 + 6135*f**2 + 12285*f + 6145.
-5*(f - 1229)*(f + 1)**2
What is m in -m**4 - 1370*m**3 - 470593*m**2 - 937080*m - 467856 = 0?
-684, -1
Suppose -3*z**2 + 33*z = 0. What is z?
0, 11
Solve 7*m**3/2 + 139*m**2/4 + 85*m - 25/4 = 0.
-5, 1/14
Solve -5*u**3 - 95*u**2 - 60*u + 540 = 0.
-18, -3, 2
Find p, given that 3*p**4 - 438*p**3 + 17244*p**2 - 91560*p + 117600 = 0.
