**2 - 64*j - 512 = 0 for j.
-16
Factor 5*k**3 + 30*k**2 - 160.
5*(k - 2)*(k + 4)**2
Factor -1681*d**2/5 - 1558*d/5 - 361/5.
-(41*d + 19)**2/5
Factor 7*u**2 - 18195*u + 5198.
(u - 2599)*(7*u - 2)
Factor 4*l**2/3 + 2840*l/3 + 504100/3.
4*(l + 355)**2/3
Suppose -2*o**3 + 92*o**2 - 262*o + 172 = 0. What is o?
1, 2, 43
Factor -4*o**3/5 - 163*o**2/5 - 119*o/5 + 8.
-(o + 1)*(o + 40)*(4*o - 1)/5
Factor 2*o**2 - 18*o - 20.
2*(o - 10)*(o + 1)
Find g such that -8*g**5 - 1394*g**4/5 - 1146*g**3/5 + 344*g**2/5 + 136*g/5 = 0.
-34, -1, -1/4, 0, 2/5
Factor h**3 + 167*h**2 + 5691*h + 55125.
(h + 21)**2*(h + 125)
Solve 5*h**5 - 5*h**4 - 10*h**3 = 0.
-1, 0, 2
Factor -b**3 - 2*b**2.
-b**2*(b + 2)
Solve -105*q**2 - 44*q - 4 = 0 for q.
-2/7, -2/15
Factor t**3/2 - 2*t**2 + 3*t/2.
t*(t - 3)*(t - 1)/2
Factor 2*s**3/7 - 26*s**2/7 - 48*s.
2*s*(s - 21)*(s + 8)/7
Factor -3*b**3 - 51*b**2 - 66*b + 360.
-3*(b - 2)*(b + 4)*(b + 15)
Factor -3*n**3/7 - 1887*n**2/7 - 42255*n + 42525.
-3*(n - 1)*(n + 315)**2/7
Factor -3*t**2/2 - 2862*t + 5727/2.
-3*(t - 1)*(t + 1909)/2
Solve -3*y**3/2 - 141*y**2/2 - 792*y + 864 = 0.
-24, 1
Factor -12*o**3 + 27*o**2 - 18*o + 3.
-3*(o - 1)**2*(4*o - 1)
Factor -i**4/5 + 62*i**3/5 + i**2/5 - 62*i/5.
-i*(i - 62)*(i - 1)*(i + 1)/5
Solve -5*d**2 + 8640*d + 8645 = 0.
-1, 1729
Factor 4*y**3 - 140*y**2.
4*y**2*(y - 35)
Let -4*p**5/7 - 4*p**4 + 172*p**3/7 + 148*p**2 - 168*p = 0. Calculate p.
-7, 0, 1, 6
Let 2*l**3/9 + 2912*l**2/9 - 5830*l/9 + 324 = 0. Calculate l.
-1458, 1
Factor 3*z**4/2 + 3*z**3/2 - 3*z**2/2 - 3*z/2.
3*z*(z - 1)*(z + 1)**2/2
Determine g so that -g**2/4 + 45*g/4 + 23/2 = 0.
-1, 46
Find q such that -2*q**3/9 - 8*q**2/3 - 10*q - 12 = 0.
-6, -3
Factor 3*i**2 + 180*i - 183.
3*(i - 1)*(i + 61)
Factor i**2 - 3026*i + 2289169.
(i - 1513)**2
Factor 16*c**2 + 7*c - 1/2.
(2*c + 1)*(16*c - 1)/2
Let -a**3/3 - 13*a**2/3 + 16*a/3 + 28/3 = 0. Calculate a.
-14, -1, 2
Suppose 2*u**3/7 + 258*u**2/7 + 510*u/7 + 254/7 = 0. What is u?
-127, -1
Factor -7*l**4/4 + 9*l**3/4 + 10*l**2 - 3*l.
-l*(l - 3)*(l + 2)*(7*l - 2)/4
What is g in -g**3 + 11*g**2 + 185*g + 525 = 0?
-5, 21
Determine y, given that -7*y**4/8 - 191*y**3/8 - 383*y**2/8 + 431*y/8 + 75/4 = 0.
-25, -3, -2/7, 1
Factor -p**5 + 14*p**4 - 61*p**3 + 84*p**2 - 36*p.
-p*(p - 6)**2*(p - 1)**2
Let -68*r**3 - 8*r**2 + 68*r + 8 = 0. Calculate r.
-1, -2/17, 1
Let -n**4/2 + 11*n**2/2 - 9*n + 4 = 0. Calculate n.
-4, 1, 2
Factor z**3 - 6*z**2 - 81*z - 130.
(z - 13)*(z + 2)*(z + 5)
Suppose p**2/4 - 1147*p - 4589/4 = 0. Calculate p.
-1, 4589
Find u, given that u**3/5 + 542*u**2/5 + 14796*u + 29160 = 0.
-270, -2
Let -5*k**2/2 + 17*k/2 - 6 = 0. What is k?
1, 12/5
Let -250*x**5 + 3050*x**4 + 7080*x**3 - 11264*x**2 + 4864*x - 672 = 0. What is x?
-3, 2/5, 14
Suppose -3*z**2 - 450*z + 1377 = 0. What is z?
-153, 3
Factor -2*h**2/9 + 148*h/3 - 442/9.
-2*(h - 221)*(h - 1)/9
Solve 3*f**4 + 36*f**3 + 63*f**2 + 30*f = 0.
-10, -1, 0
Find m such that -10*m**4/3 + 475*m**3/3 - 525*m**2 + 1550*m/3 - 440/3 = 0.
1/2, 1, 2, 44
Suppose t**3 + 4*t**2 - 5*t = 0. Calculate t.
-5, 0, 1
Suppose 3*a**5/5 - 27*a**4/5 + 33*a**3/5 + 87*a**2/5 - 36*a + 84/5 = 0. Calculate a.
-2, 1, 2, 7
Solve -2*a**2/9 - 28*a/3 - 82/9 = 0 for a.
-41, -1
What is n in -n**5 - 6*n**4 - 9*n**3 - 4*n**2 = 0?
-4, -1, 0
Factor -5*a**2 - 1100*a - 60500.
-5*(a + 110)**2
Let 2*o**5 + 104*o**4 + 1440*o**3 + 1988*o**2 - 6850*o - 7500 = 0. What is o?
-25, -3, -1, 2
Factor -i**3/4 - 3*i**2/4 - 3*i/4 - 1/4.
-(i + 1)**3/4
Factor 6*i**2/7 + 2004*i/7 - 2010/7.
6*(i - 1)*(i + 335)/7
Let -5*k**5/2 + 35*k**4/2 + 75*k**3 + 10*k**2 - 100*k = 0. Calculate k.
-2, 0, 1, 10
Factor 2*b**4/3 + 22*b**3/3 + 10*b**2 - 18*b.
2*b*(b - 1)*(b + 3)*(b + 9)/3
Find h such that h**4/9 + h**3 - h**2/3 - 29*h/9 - 2 = 0.
-9, -1, 2
Solve 2*j**2 + 68*j + 240 = 0 for j.
-30, -4
Suppose -2*u**5/7 + 388*u**4/7 - 1152*u**3/7 + 164*u**2 - 382*u/7 = 0. Calculate u.
0, 1, 191
Suppose -j**2/8 - 121*j/8 = 0. Calculate j.
-121, 0
Factor -2*q**2/3 - 58*q/3.
-2*q*(q + 29)/3
Solve -4*j**4 + 280*j**3 + 1828*j**2 - 280*j - 1824 = 0 for j.
-6, -1, 1, 76
Suppose 2*t**3/3 - 1554*t**2 + 1207458*t - 312731622 = 0. Calculate t.
777
Factor 4*u**2 - 2452*u.
4*u*(u - 613)
Solve -g**2/4 + 1219*g/4 = 0 for g.
0, 1219
Factor k**2 + 2*k - 3.
(k - 1)*(k + 3)
Factor n**4 + 11*n**3 - n**2 - 11*n.
n*(n - 1)*(n + 1)*(n + 11)
Factor -5*f**3/9 - 32*f**2/9 - f + 2.
-(f + 1)*(f + 6)*(5*f - 3)/9
Suppose 22*p**2/3 - 1294*p/3 + 424 = 0. What is p?
1, 636/11
Factor -2*f**2 - 5200*f - 3380000.
-2*(f + 1300)**2
Factor -w**3/2 + 26*w**2 - 101*w/2 + 25.
-(w - 50)*(w - 1)**2/2
Suppose -g**2 - 418*g - 832 = 0. Calculate g.
-416, -2
Factor d**5 + 11*d**4 + 24*d**3 - 36*d**2.
d**2*(d - 1)*(d + 6)**2
Find y such that -3*y**3 - 423*y**2 - 19872*y - 311052 = 0.
-49, -46
Solve 2*z**3 - 14*z**2 - 146*z - 130 = 0.
-5, -1, 13
Factor -5*h**5 - 10*h**4 + 10*h**2 + 5*h.
-5*h*(h - 1)*(h + 1)**3
Suppose a**2/2 + 20*a - 825/2 = 0. Calculate a.
-55, 15
Factor a**3 - 31*a**2 + 146*a + 1144.
(a - 22)*(a - 13)*(a + 4)
Let -z**4/9 + z**3/3 + 2*z**2/9 - 4*z/3 + 8/9 = 0. Calculate z.
-2, 1, 2
Solve -3*u**4/5 - 18*u**3/5 - 21*u**2/5 + 18*u/5 + 24/5 = 0.
-4, -2, -1, 1
Find w such that -4*w**2 - 4*w + 24 = 0.
-3, 2
Factor -18*i**3 - 89004*i**2 + 118696*i - 39568.
-2*(i + 4946)*(3*i - 2)**2
Factor 4*j**5 + 12*j**4 - 36*j**3 + 20*j**2.
4*j**2*(j - 1)**2*(j + 5)
Determine a, given that -2*a**3 + 6*a**2 - 6*a + 2 = 0.
1
Factor -2*t**2/17 - 80*t/17 - 78/17.
-2*(t + 1)*(t + 39)/17
Determine i, given that -7*i**4 - 10*i**3 + 60*i**2 + 90*i + 27 = 0.
-3, -1, -3/7, 3
Solve -3*v**2/5 - 3381*v/5 - 3378/5 = 0.
-1126, -1
Factor 3*u**4/5 + 18*u**3/5 + 39*u**2/5 + 36*u/5 + 12/5.
3*(u + 1)**2*(u + 2)**2/5
Factor 8*q**3 - 484*q**2 + 4240*q - 2000.
4*(q - 50)*(q - 10)*(2*q - 1)
Factor -y**4 + 13*y**2 - 12*y.
-y*(y - 3)*(y - 1)*(y + 4)
Find u such that -2*u**4/3 + 82*u**3 - 2304*u**2 - 40960*u/3 = 0.
-5, 0, 64
Suppose -2*h**4 + 10*h**3 - 16*h**2 + 8*h = 0. Calculate h.
0, 1, 2
Factor 42*o**2/11 - 58*o/11 - 20/11.
2*(3*o - 5)*(7*o + 2)/11
Factor 5*f**4/3 - 475*f**3/3 + 5915*f**2/3 - 6615*f.
5*f*(f - 81)*(f - 7)**2/3
Solve o**3/4 + 5*o**2/4 + 7*o/4 + 3/4 = 0 for o.
-3, -1
Factor -4*g**4 - 2296*g**3 - 322516*g**2 + 1997520*g - 3027600.
-4*(g - 3)**2*(g + 290)**2
Determine o so that 5*o**2 - 75*o - 920 = 0.
-8, 23
Let -3*o**2 - 39*o + 90 = 0. Calculate o.
-15, 2
What is t in 10*t**5 + 86*t**4 + 164*t**3 + 40*t**2 - 48*t = 0?
-6, -2, -1, 0, 2/5
Find u, given that -2*u**3/7 - 97*u**2/7 - 552*u/7 - 36 = 0.
-42, -6, -1/2
Factor -3*y**3 + 3*y.
-3*y*(y - 1)*(y + 1)
Factor 2*n**4/9 - 2*n**3/9 - 46*n**2/9 - 26*n/3 - 4.
2*(n - 6)*(n + 1)**2*(n + 3)/9
Determine v so that -2*v**3 + 2064*v**2 - 534570*v + 1060900 = 0.
2, 515
Determine q so that 18*q**5/11 + 490*q**4/11 + 3096*q**3/11 - 352*q**2 - 8064*q/11 - 1568/11 = 0.
-14, -1, -2/9, 2
What is v in -814*v**2/3 + 4*v/15 = 0?
0, 2/2035
Let 80*n**4 + 1560*n**3 - 4315*n**2 + 1860*n - 220 = 0. Calculate n.
-22, 1/4, 2
Factor -4*z**4 - 192*z**3 - 2472*z**2 - 3680*z + 6348.
-4*(z - 1)*(z + 3)*(z + 23)**2
Factor 2*c**2 - 916*c + 104882.
2*(c - 229)**2
Factor 3*h**4 - 645*h**3 - 1953*h**2 - 1959*h - 654.
3*(h - 218)*(h + 1)**3
Determine g so that g**2 - 7096*g + 12588304 = 0.
3548
Factor 2*k**2/5 + 36*k/5 - 38/5.
2*(k - 1)*(k + 19)/5
Factor -c**3/3 + 11*c**2 + 23*c + 35/3.
-(c - 35)*(c + 1)**2/3
Determine v, given that 3*v**2 + 2646*v + 2643 = 0.
-881, -1
Factor 2*h**2/13 + 1186*h/13 - 3576/13.
2*(h - 3)*(h + 596)/13
Factor -2*p**4/9 + 4*p**3/3 + 2*p**2/9 - 4*p/3.
-2*p*(p - 6)*(p - 1)*(p + 1)/9
Find i, given that i**3 + 370*i**2 - 743*i + 372 = 0.
-372, 1
Factor -80*b**3 - 40*b**2 + 875*b - 980.
-5*(b + 4)*(4*b - 7)**2
Factor 2*d**3/7 - 12*d**2/7 + 24*d/7 - 16/7.
2*(d - 2)**3/7
Let 4*s**5/5 + 4*s**4 - 8*s**3/5 - 112*s**2/5 - 32*s/5 + 128/5 = 0. Calculate s.
-4, -2, 1, 2
Factor -2*v**3/13 + 440*v**2/13 - 438*v/13.
-2*v*(v - 219)*(v - 1)/13
Factor 2*n**2 - 4*n - 30.
2*(n - 5)*(n + 3)
Let -5*z**3 - 655*z**2 - 21120*z + 21780 = 0. What is z?
-66, 1
Find w, given that -4*w**3 - 6*w**2 + 6*w + 4 = 0.
-2, -1/2, 1
Find n such that -5*n**3/2 - 3*n**2 - n/2 = 0.
-1, -1/5, 0
Factor 4*q**2 - 272*q + 2688.
4*(q - 56)*(q - 12)
Factor 4*g**5 + 532*g**4 + 18472*g**3 + 52264*g**2 