5 = 0.
-519, 3
Factor -3*s**4/2 - 105*s**3 + 324*s**2 - 327*s + 219/2.
-3*(s - 1)**3*(s + 73)/2
Solve 6*c**3/5 - 428*c**2/5 - 2112*c/5 - 1216/5 = 0 for c.
-4, -2/3, 76
Factor -v**3 - 340*v**2 - 28557*v + 58482.
-(v - 2)*(v + 171)**2
Let -3*p**2 - 351*p + 354 = 0. What is p?
-118, 1
Solve -3*r**5/4 - 3*r**4/4 + 15*r**3/4 + 15*r**2/4 - 3*r - 3 = 0.
-2, -1, 1, 2
Find r, given that -r**2/4 - 10*r - 231/4 = 0.
-33, -7
Factor g**3/5 - 31*g**2/5 + 219*g/5 - 189/5.
(g - 21)*(g - 9)*(g - 1)/5
Factor -w**4/2 - 7*w**3/2 + 83*w**2/2 - 201*w/2 + 63.
-(w - 3)**2*(w - 1)*(w + 14)/2
Factor 3*r**2/4 + 231*r/4 + 225/2.
3*(r + 2)*(r + 75)/4
Factor n**4/6 + 361*n**3/6 + 10799*n**2/2 - 33485*n/6 - 32761/3.
(n - 2)*(n + 1)*(n + 181)**2/6
Factor -2*a**4 - 2*a**3 + 2*a**2 + 2*a.
-2*a*(a - 1)*(a + 1)**2
Factor p**2/7 - 2750*p/7 - 393.
(p - 2751)*(p + 1)/7
Factor -15*w**4/7 + 39*w**3/7 - 33*w**2/7 + 9*w/7.
-3*w*(w - 1)**2*(5*w - 3)/7
Determine a, given that -2*a**3/9 - 46*a**2 - 2020*a/9 = 0.
-202, -5, 0
Solve -8*p**5 - 102*p**4 + 2306*p**3 + 30030*p**2 - 7650*p = 0.
-15, 0, 1/4, 17
Solve -16*q**5/13 + 6*q**4/13 + 240*q**3/13 + 70*q**2/13 - 444*q/13 + 144/13 = 0 for q.
-3, -2, 3/8, 1, 4
Factor 9*m**5 + 12*m**4 - 2*m**3 - 4*m**2 + m.
m*(m + 1)**2*(3*m - 1)**2
Factor -1458*l**4/5 + 8856*l**3/5 - 13772*l**2/5 + 984*l/5 - 18/5.
-2*(l - 3)**2*(27*l - 1)**2/5
Find l such that -l**2/2 - 47*l + 95/2 = 0.
-95, 1
Factor 375*m**5 + 75*m**4 - 1020*m**3 - 1056*m**2 - 384*m - 48.
3*(m - 2)*(m + 1)*(5*m + 2)**3
Factor 3*n**2/5 + 243*n/5 + 48.
3*(n + 1)*(n + 80)/5
Factor t**3/5 - 68*t**2/5 - 71*t/5 + 138/5.
(t - 69)*(t - 1)*(t + 2)/5
Factor -n**4/5 + 17*n**3/5 - 11*n**2/5 - 121*n.
-n*(n - 11)**2*(n + 5)/5
Let -q**2/6 + 34*q - 201/2 = 0. Calculate q.
3, 201
Factor 4*l**4 + 104*l**3 + 420*l**2.
4*l**2*(l + 5)*(l + 21)
Factor -4563*m**2/4 - 234*m - 12.
-3*(39*m + 4)**2/4
Suppose -3*j**4/4 - 15*j**3/2 - 27*j**2/4 = 0. What is j?
-9, -1, 0
Factor i**2/2 - 305*i.
i*(i - 610)/2
Factor -2*c**3/5 - 2424*c**2 - 4896480*c - 3296963200.
-2*(c + 2020)**3/5
Factor -28*w**2 - 1420*w - 4008.
-4*(w + 3)*(7*w + 334)
Find v, given that -2*v**2/9 + 316*v/9 - 12482/9 = 0.
79
Factor -6*v**3 + 21*v**2 + 21*v - 36.
-3*(v - 4)*(v - 1)*(2*v + 3)
Suppose -396900*t**3/11 - 590310*t**2/11 + 7544*t/11 - 24/11 = 0. Calculate t.
-3/2, 2/315
Find p, given that 200*p**3/7 - 160*p**2/7 - 38*p/7 - 2/7 = 0.
-1/10, 1
Determine f so that 841*f**4/6 - 5858*f**3/3 + 6733*f**2 + 1414*f/3 + 49/6 = 0.
-1/29, 7
Factor -3*v**5 + 6*v**4 + 27*v**3 - 66*v**2 - 12*v + 72.
-3*(v - 2)**3*(v + 1)*(v + 3)
Factor -3*l**5 + 519*l**4 - 22185*l**3 - 22707*l**2.
-3*l**2*(l - 87)**2*(l + 1)
Solve 26*j**4 - 186*j**3 - 414*j**2 - 166*j + 36 = 0.
-1, 2/13, 9
Factor -4*y**4 + 208*y**3 - 588*y**2 - 16*y + 784.
-4*(y - 49)*(y - 2)**2*(y + 1)
Factor 2*f**3 - 18*f**2 + 48*f - 40.
2*(f - 5)*(f - 2)**2
Solve -i**4/4 - 5*i**3/2 - 2*i**2 + 5*i/2 + 9/4 = 0.
-9, -1, 1
Determine r so that 44*r**2 - 412*r + 144 = 0.
4/11, 9
Determine z so that 2*z**4/13 + 66*z**3/13 + 48*z**2 + 616*z/13 - 9408/13 = 0.
-14, -8, 3
Find q such that -3*q**3/2 - 753*q**2/2 - 46101*q/2 + 145161/2 = 0.
-127, 3
Let 2*f**3/3 + 2*f**2 - 8/3 = 0. Calculate f.
-2, 1
Find d such that -d**5/9 + d**4/3 - 4*d**2/9 = 0.
-1, 0, 2
What is y in -y**4/2 - 11*y**3/2 + 7*y**2 + 192*y + 432 = 0?
-9, -4, 6
Determine x so that -2*x**3 - 14*x**2 - 28*x - 16 = 0.
-4, -2, -1
Factor -3*n**3/8 + 255*n**2/8 - 7209*n/8 + 67797/8.
-3*(n - 31)*(n - 27)**2/8
Factor 2*u**4/3 + 64*u**3/3 + 368*u**2/3 - 768*u + 864.
2*(u - 2)**2*(u + 18)**2/3
Let 4*a**3 - 104*a**2 + 500*a - 400 = 0. Calculate a.
1, 5, 20
What is z in -2*z**3/11 + 36*z**2/11 - 118*z/11 - 36 = 0?
-2, 9, 11
Solve 3*t**2 - 24*t - 720 = 0.
-12, 20
Factor a**3/5 + 2*a**2 + 7*a/5 - 18/5.
(a - 1)*(a + 2)*(a + 9)/5
Determine x, given that x**2 + 201*x = 0.
-201, 0
Solve -2*c**3 - 332*c**2 = 0 for c.
-166, 0
Factor -4*z**2 + 208*z + 432.
-4*(z - 54)*(z + 2)
Solve 2*g**4/3 + 160*g**3 - 1942*g**2/3 + 812*g - 976/3 = 0.
-244, 1, 2
Factor -z**2 + 120*z - 3600.
-(z - 60)**2
Solve 5*m**4 + 45*m**3 + 35*m**2 - 45*m - 40 = 0.
-8, -1, 1
Factor x**4 - 24*x**3 + 22*x**2 + 24*x - 23.
(x - 23)*(x - 1)**2*(x + 1)
Let -2*c**5 + 10*c**4 - 10*c**3 - 10*c**2 + 12*c = 0. Calculate c.
-1, 0, 1, 2, 3
Determine c so that c**5/3 + 28*c**4 + 464*c**3 - 15824*c**2/3 + 8464*c = 0.
-46, 0, 2, 6
What is j in -21*j**5 - 123*j**4 - 147*j**3 + 171*j**2 + 216*j = 0?
-3, -1, 0, 8/7
Factor -2*i**3/17 + 818*i**2/17 - 82400*i/17 - 254616/17.
-2*(i - 206)**2*(i + 3)/17
Determine x so that -20*x**5 - 15*x**4 + 165*x**3 + 200*x**2 - 60*x = 0.
-2, 0, 1/4, 3
Find t such that -5*t**2 - 1045*t + 1050 = 0.
-210, 1
Factor -v**4/4 + v**3/2 + 3*v**2/4 - 2*v + 1.
-(v - 2)*(v - 1)**2*(v + 2)/4
Factor -k**4/3 + 8*k**3/3 - 2*k**2/3 - 32*k/3 - 7.
-(k - 7)*(k - 3)*(k + 1)**2/3
Solve h**3/3 + 47*h**2/3 + 85*h + 123 = 0 for h.
-41, -3
Let 4*t**2/3 + 10*t/9 - 2/9 = 0. What is t?
-1, 1/6
Solve 6*a**3/7 + 220*a**2/7 + 144*a/7 = 0.
-36, -2/3, 0
Solve -5*u**2/6 - 440*u/3 - 19360/3 = 0.
-88
Solve t**3/6 - 4*t**2/3 - 5*t/6 + 14 = 0.
-3, 4, 7
Suppose 2*b**4 + 4*b**3 - 10*b**2 - 12*b = 0. What is b?
-3, -1, 0, 2
Factor 3*n**4 - 9*n**3 - 3*n**2 + 9*n.
3*n*(n - 3)*(n - 1)*(n + 1)
Factor -2*q**3/15 - 36*q**2/5 - 136*q/5 - 80/3.
-2*(q + 2)**2*(q + 50)/15
Let -2*h**4/5 - 38*h**3/5 + 48*h**2/5 + 152*h/5 - 32 = 0. Calculate h.
-20, -2, 1, 2
Suppose 2*v**5 - 64*v**4 + 756*v**3 - 3888*v**2 + 7290*v = 0. What is v?
0, 5, 9
Let 2*s**3 - 55*s**2/2 - 7*s = 0. What is s?
-1/4, 0, 14
Factor g**3 + 1912*g**2 + 912021*g - 1831698.
(g - 2)*(g + 957)**2
Find y such that 1165*y**3 + 1180*y**2 + 15*y = 0.
-1, -3/233, 0
Factor 2*x**4 + 912*x**3 + 108428*x**2 + 1016880*x + 2486450.
2*(x + 5)**2*(x + 223)**2
Suppose -2*k**2/7 + 20920*k/7 - 54705800/7 = 0. Calculate k.
5230
What is g in -236*g**4 - 235*g**3 + 945*g**2 + 940*g - 4 = 0?
-2, -1, 1/236, 2
Find y, given that -4*y**3 - 8196*y**2 + 16404*y - 8204 = 0.
-2051, 1
Solve -u**4/4 - 3*u**3/2 - 3*u**2 - 5*u/2 - 3/4 = 0.
-3, -1
Suppose -w**3 + 27*w**2 + 57*w - 3971 = 0. What is w?
-11, 19
Let -q**4/4 - q**3 - q**2/2 + q + 3/4 = 0. Calculate q.
-3, -1, 1
Factor -x**5 + 3*x**4 + 2*x**3 - 12*x**2 + 8*x.
-x*(x - 2)**2*(x - 1)*(x + 2)
Let n**2/7 + 4644*n/7 + 5391684/7 = 0. Calculate n.
-2322
Factor -5*x**2 + 450*x + 2375.
-5*(x - 95)*(x + 5)
Factor 5*q**2 - 110*q - 115.
5*(q - 23)*(q + 1)
Find f such that -9*f**5/8 + 1681*f**4/8 + 5477*f**3/8 + 6255*f**2/8 + 356*f + 95/2 = 0.
-1, -2/9, 190
Factor -3*a**3/5 + 63*a**2/5 - 258*a/5 + 288/5.
-3*(a - 16)*(a - 3)*(a - 2)/5
Factor -2*i**2/3 + 32*i/3.
-2*i*(i - 16)/3
Factor h**4/2 - 5*h**3/2 - 33*h**2.
h**2*(h - 11)*(h + 6)/2
Factor -2*b**2 - 862*b + 1732.
-2*(b - 2)*(b + 433)
Factor 5*a**3 + 765*a**2.
5*a**2*(a + 153)
Find w, given that w**4 - 16*w**3 + 63*w**2 + 16*w - 64 = 0.
-1, 1, 8
Let 2*a**5/7 - 10*a**4 + 860*a**3/7 - 4500*a**2/7 + 10530*a/7 - 9126/7 = 0. Calculate a.
3, 13
Factor -h**4/3 + 3*h**3 - 5*h**2 + 7*h/3.
-h*(h - 7)*(h - 1)**2/3
Suppose -5*b**3 + 5450*b**2 - 21735*b + 16290 = 0. Calculate b.
1, 3, 1086
Let -5*k**4 - 455*k**3 - 13485*k**2 - 120125*k + 297910 = 0. Calculate k.
-31, 2
Let -5*o**3/2 + 35*o**2/2 - 55*o/2 + 25/2 = 0. Calculate o.
1, 5
Factor 4*h**5 + 40*h**4 - 12*h**3 - 560*h**2 + 784*h.
4*h*(h - 2)**2*(h + 7)**2
Factor 2*c**4 - 16*c**3 + 12*c**2 + 80*c + 50.
2*(c - 5)**2*(c + 1)**2
Suppose -4*i**4 + 96*i**3 - 328*i**2 - 960*i - 532 = 0. What is i?
-1, 7, 19
Factor -2*m**4/13 - 3792*m**3/13.
-2*m**3*(m + 1896)/13
Suppose 5*l**5 - 40*l**4 + 90*l**3 - 135*l = 0. What is l?
-1, 0, 3
Factor -2*s**2/15 - 852*s - 1361070.
-2*(s + 3195)**2/15
Solve 10*j**3 + 805*j**2 - 1240*j - 820 = 0.
-82, -1/2, 2
Determine x, given that 35*x**5 - 200*x**4 - 305*x**3 + 1190*x**2 + 1620*x + 360 = 0.
-2, -1, -2/7, 3, 6
Factor 3*i**2/4 + 690*i + 158700.
3*(i + 460)**2/4
Factor 4*q**3/5 + 92*q**2 + 13452*q/5 + 12996/5.
4*(q + 1)*(q + 57)**2/5
Factor -3*j**4 + 9*j**2 - 6*j.
-3*j*(j - 1)**2*(j + 2)
Let 2*d**2 + 4*d - 6 = 0. What is d?
-3, 1
Let 5*z**4 + 2965*z**3 + 441010*z**2 + 420320*z - 2628480 = 0. What is z?
-296, -3, 2
Suppose -2*x**5/15 + 4*x**4/15 + 4*x**3/15 - 16*x**2/15 + 14*x/15 - 4/15 = 0. What is x?
-2, 1
Factor 10*w**3/9 + 194*w**2/9 - 34