en that -5*j**2 + 150*j - 1105 = 0.
13, 17
Factor -3*w**3/8 + 1281*w**2/8 - 2553*w/8 + 1275/8.
-3*(w - 425)*(w - 1)**2/8
Factor -j**2/2 + 5*j/2 - 2.
-(j - 4)*(j - 1)/2
Let i**3 - 25*i**2 + 138*i - 216 = 0. What is i?
3, 4, 18
Let 4*t**4 + 11*t**3 - 7*t**2 - 11*t + 3 = 0. Calculate t.
-3, -1, 1/4, 1
Factor 10*v**2/9 + 26*v/9 + 16/9.
2*(v + 1)*(5*v + 8)/9
Suppose -2*c**5/13 - 6*c**4/13 + 2*c**3 + 22*c**2/13 - 48*c/13 - 40/13 = 0. What is c?
-5, -1, 2
Factor -2*l**4 - 10*l**3 - 18*l**2 - 14*l - 4.
-2*(l + 1)**3*(l + 2)
Find a such that 2*a**2 - 1774*a + 1772 = 0.
1, 886
Factor -4*k**3 - 656*k**2 - 27540*k - 52488.
-4*(k + 2)*(k + 81)**2
Factor 2*d**2 - 11308*d + 15983858.
2*(d - 2827)**2
Let v**5/6 - 4*v**4/3 + 25*v**3/6 - 19*v**2/3 + 14*v/3 - 4/3 = 0. Calculate v.
1, 2
Factor -21*n**3/2 + 2775*n**2/4 - 11484*n + 3267/4.
-3*(n - 33)**2*(14*n - 1)/4
Let 175*n**5 + 1870*n**4 + 5245*n**3 + 5410*n**2 + 2140*n + 280 = 0. Calculate n.
-7, -2, -1, -2/5, -2/7
Factor -2*t**2 + 20*t + 22.
-2*(t - 11)*(t + 1)
Factor -4*k**2 + 1216*k - 92416.
-4*(k - 152)**2
Factor 10*i**4 - 126*i**3 + 68*i**2 + 48*i.
2*i*(i - 12)*(i - 1)*(5*i + 2)
Factor -2*o**3 + 4*o**2 - 2*o.
-2*o*(o - 1)**2
Determine u so that -2*u**3 - 652*u**2 + 3966*u - 5976 = 0.
-332, 3
Factor -47524*a**3/11 - 22018*a**2/11 + 856*a/11 - 8/11.
-2*(2*a + 1)*(109*a - 2)**2/11
Factor -2*q**2/19 - 196*q/19 + 400/19.
-2*(q - 2)*(q + 100)/19
Determine l so that 15*l**4/4 + 125*l**3 - 435*l**2/2 + 45*l + 175/4 = 0.
-35, -1/3, 1
Let 12*y**3 - 29*y**2 - 20*y - 3 = 0. What is y?
-1/3, -1/4, 3
Let 10*f**3/11 + 444*f**2/11 + 16*f = 0. What is f?
-44, -2/5, 0
Solve -4*c**2/7 - 472*c/7 - 468/7 = 0 for c.
-117, -1
Factor -2*b**4 + 108*b**3 - 210*b**2 + 104*b.
-2*b*(b - 52)*(b - 1)**2
Factor -5*k**4 - 5*k**3 + 30*k**2.
-5*k**2*(k - 2)*(k + 3)
Factor -5*q**3 + 5*q**2 + 100*q.
-5*q*(q - 5)*(q + 4)
Factor p**5/3 - 4*p**4/3 + 4*p**3/3.
p**3*(p - 2)**2/3
Factor 16*j**4 + 284*j**3 + 1608*j**2 + 2716*j - 784.
4*(j + 4)*(j + 7)**2*(4*j - 1)
Suppose -28*n**5 + 128*n**4 - 108*n**3 - 184*n**2 + 176*n + 96 = 0. Calculate n.
-1, -3/7, 2
Suppose 3*i**2/2 + 75*i = 0. What is i?
-50, 0
Suppose 2*i**3 - 4386*i**2 + 3206166*i - 781235782 = 0. What is i?
731
Suppose -6*o**5 + 86*o**4 - 82*o**3 - 1926*o**2 + 648*o = 0. Calculate o.
-4, 0, 1/3, 9
Factor 3*m**2/7 - 33*m/7 + 90/7.
3*(m - 6)*(m - 5)/7
Determine c so that 3*c**3/8 - 129*c**2/8 - 69*c - 141/2 = 0.
-2, 47
Factor p**2/3 - 17*p/3 + 16/3.
(p - 16)*(p - 1)/3
Solve -5*s**4 - 195*s**3 + 200*s**2 = 0.
-40, 0, 1
Find t, given that -t**4/4 - t**3/2 + 3*t**2/4 = 0.
-3, 0, 1
Determine q so that -2*q**5/3 - 26*q**4/15 - 22*q**3/15 - 2*q**2/5 = 0.
-1, -3/5, 0
Solve -16*t**5 - 180*t**4 - 328*t**3 + 344*t + 180 = 0 for t.
-9, -5/4, -1, 1
Factor 2*t**5/5 - 44*t**4/5 + 368*t**3/5 - 288*t**2 + 2592*t/5 - 1728/5.
2*(t - 6)**3*(t - 2)**2/5
Factor -2*a**3/13 + 32*a**2/13 - 58*a/13 + 28/13.
-2*(a - 14)*(a - 1)**2/13
Solve y**3/10 + 23*y**2/5 - 2*y/5 - 92/5 = 0 for y.
-46, -2, 2
Factor -2*v**2 + 60*v - 162.
-2*(v - 27)*(v - 3)
Factor 5*w**4 - 110*w**3 + 540*w**2 - 1000*w + 640.
5*(w - 16)*(w - 2)**3
Let -135*u**5 + 800*u**4 + 3840*u**3 - 530*u**2 - 3705*u - 270 = 0. What is u?
-3, -1, -2/27, 1, 9
Solve 4*b**2 - 22768*b + 32398864 = 0 for b.
2846
Factor -5*l**4 - 175*l**3 - 1290*l**2 - 3200*l - 2080.
-5*(l + 1)*(l + 4)**2*(l + 26)
Find d, given that -d**5 - 8*d**4 - 23*d**3 - 28*d**2 - 12*d = 0.
-3, -2, -1, 0
Factor d**4 + 27*d**3 + 237*d**2 + 737*d + 726.
(d + 2)*(d + 3)*(d + 11)**2
Find v such that -v**2 - 16*v - 64 = 0.
-8
Let q**3/4 - 141*q**2/4 + 516*q - 2000 = 0. What is q?
8, 125
Factor 4*x**2 + 13456*x.
4*x*(x + 3364)
Determine x so that -5*x**3 - 210*x**2 + 1440*x = 0.
-48, 0, 6
Factor 2*q**2/3 + 280*q/3 - 94.
2*(q - 1)*(q + 141)/3
Solve 40*k**3 - 885*k**2 + 4950*k - 605 = 0.
1/8, 11
Let 2*u**3 - 50*u**2 + 384*u - 936 = 0. Calculate u.
6, 13
Factor -27*h**2 - 28491*h - 6330.
-3*(h + 1055)*(9*h + 2)
Solve -12*x**3/7 - 320*x**2/7 - 492*x/7 + 200/7 = 0 for x.
-25, -2, 1/3
Factor -2*p**2 + 96*p.
-2*p*(p - 48)
Factor 2*a**3 + 12*a**2 + 18*a.
2*a*(a + 3)**2
Factor -3*n**5 + 177*n**4 - 513*n**3 + 507*n**2 - 168*n.
-3*n*(n - 56)*(n - 1)**3
Find h, given that -90*h**4 + 848*h**3 + 536*h**2 - 160*h = 0.
-4/5, 0, 2/9, 10
Solve -s**4 - 34*s**3 - 32*s**2 + 34*s + 33 = 0.
-33, -1, 1
Solve 15*q**4/4 - 599*q**3/4 - 13*q**2 + 119*q + 40 = 0 for q.
-2/3, -2/5, 1, 40
Solve -28*p**3 - 114*p**2 - 8*p = 0.
-4, -1/14, 0
Find k such that 5*k**5 + 75*k**4 + 235*k**3 - 395*k**2 - 240*k + 320 = 0.
-8, -1, 1
Determine p, given that 2*p**3 + 32*p**2 - 34*p = 0.
-17, 0, 1
Solve 5*h**4 + 55*h**3 - 210*h**2 + 20*h + 280 = 0.
-14, -1, 2
Let 480*j**5 - 30920*j**4 + 663020*j**3 - 4712370*j**2 - 453005*j + 397535 = 0. What is j?
-1/3, 1/4, 43/2
Find n, given that -5*n**2/6 + 2390*n/3 - 571210/3 = 0.
478
Suppose -2*r**3 - 78*r**2 - 772*r - 1248 = 0. Calculate r.
-24, -13, -2
Solve 21*s**5 - 78*s**4 + 39*s**3 + 102*s**2 - 60*s - 24 = 0 for s.
-1, -2/7, 1, 2
Solve w**2 + 69*w = 0.
-69, 0
Factor -4*c**5/3 - 5*c**4/3.
-c**4*(4*c + 5)/3
Suppose 5*c**5 + 55*c**4 + 165*c**3 + 25*c**2 - 250*c = 0. What is c?
-5, -2, 0, 1
Factor 5*w**4 + 85*w**3 - 95*w**2 - 85*w + 90.
5*(w - 1)**2*(w + 1)*(w + 18)
Factor -3*l**2/7 - 429*l/7 + 432/7.
-3*(l - 1)*(l + 144)/7
Factor 2*b**2/5 - 92*b + 458/5.
2*(b - 229)*(b - 1)/5
Factor -3*n**5/4 - 27*n**4/4 + 36*n**3 + 336*n**2.
-3*n**2*(n - 7)*(n + 8)**2/4
Factor m**3 - 26*m**2 - 511*m - 1960.
(m - 40)*(m + 7)**2
Factor 2*q**4 - 1422*q**3 + 1420*q**2.
2*q**2*(q - 710)*(q - 1)
Let -3*n**3 - 105*n**2 + 126*n + 648 = 0. What is n?
-36, -2, 3
Solve -d**4 + 8*d**3 + 108*d**2 + 304*d + 256 = 0 for d.
-4, -2, 16
Find k such that -8*k**3/7 - 26*k**2/7 - 8*k/7 + 24/7 = 0.
-2, 3/4
Solve 27*v**4 + 360*v**3 + 1416*v**2 + 1440*v + 432 = 0 for v.
-6, -2/3
Let 5*s**3 - 7065*s**2 + 3327615*s - 522435555 = 0. Calculate s.
471
Determine i so that i**5/4 + i**4/4 - 43*i**3/2 + 121*i**2/2 - 235*i/4 + 77/4 = 0.
-11, 1, 7
What is f in -f**2/9 - 169*f/9 + 38 = 0?
-171, 2
Factor -2*j**3/7 + 32*j**2/7 - 162*j/7 + 36.
-2*(j - 7)*(j - 6)*(j - 3)/7
Find t such that -t**5/2 - 5*t**4/2 - 4*t**3 - 2*t**2 = 0.
-2, -1, 0
Let 15*d**5 + 312*d**4 + 1680*d**3 - 48*d**2 - 6960*d - 4800 = 0. Calculate d.
-10, -2, -4/5, 2
Factor -2*t**2 - 36*t + 80.
-2*(t - 2)*(t + 20)
Factor n**3/7 + 22*n**2/7.
n**2*(n + 22)/7
Factor -4*n**2/7 - 580*n/7.
-4*n*(n + 145)/7
Factor 12*g**4 + 592*g**3 + 7100*g**2 - 5000*g.
4*g*(g + 25)**2*(3*g - 2)
Solve -2*t**5 - 24*t**4 + 56*t**3 - 4*t**2 - 54*t + 28 = 0 for t.
-14, -1, 1
Let h**3/4 + 291*h**2/4 + 1151*h/4 + 861/4 = 0. Calculate h.
-287, -3, -1
Factor 10*h**3/13 - 66*h**2/13 + 92*h/13 + 48/13.
2*(h - 4)*(h - 3)*(5*h + 2)/13
Let -2*t**5/17 - 42*t**4/17 - 240*t**3/17 - 200*t**2/17 = 0. Calculate t.
-10, -1, 0
Factor -64*o**3 - 848*o**2 + 663*o - 126.
-(o + 14)*(8*o - 3)**2
Determine h, given that 33*h**4/8 - 3425*h**3/8 - 367*h**2/4 + 78*h = 0.
-6/11, 0, 1/3, 104
What is k in -k**4/7 + 17*k**3/7 - 80*k**2/7 + 64*k/7 = 0?
0, 1, 8
What is q in -5*q**2 + 185*q - 800 = 0?
5, 32
Find w, given that 8*w**5/5 + 18*w**4/5 - 26*w**3/5 - 18*w**2/5 + 18*w/5 = 0.
-3, -1, 0, 3/4, 1
Factor g**2/7 - 81*g/7 + 80/7.
(g - 80)*(g - 1)/7
Let 729*i**2 - 108*i + 4 = 0. What is i?
2/27
Factor 2*n**2/5 + 16*n/5 - 66/5.
2*(n - 3)*(n + 11)/5
What is i in -2*i**2/5 - 12*i - 442/5 = 0?
-17, -13
Factor 5*v**4 - 10*v**3 - 55*v**2 + 60*v + 180.
5*(v - 3)**2*(v + 2)**2
Factor 2*h**3/15 - 178*h**2/15 + 1168*h/15 - 328/3.
2*(h - 82)*(h - 5)*(h - 2)/15
Factor -4*b**4 - 16*b**3 - 12*b**2.
-4*b**2*(b + 1)*(b + 3)
Let f**4 + 6472*f**3 + 15707544*f**2 + 16943204128*f + 6853526069776 = 0. Calculate f.
-1618
Factor 2*o**4/3 + 78*o**3 + 2960*o**2 + 99200*o/3 - 128000.
2*(o - 3)*(o + 40)**3/3
Let 3*o**2 - 66*o - 69 = 0. What is o?
-1, 23
Solve -56*k**5/3 - 398*k**4/3 - 296*k**3 - 854*k**2/3 - 356*k/3 - 16 = 0.
-4, -1, -6/7, -1/4
Solve -5*q**3 - 15*q**2 = 0 for q.
-3, 0
Factor -2*p**2/15 + 46*p/15 + 52/5.
-2*(p - 26)*(p + 3)/15
Determine p so that 78*p**5 - 628*p**4 + 1904*p**3 - 2592*p**2 + 1376*p - 64 = 0.
2/39, 2
Factor 45*u**2 - 48*u + 12.
3*(3*u - 2)*(5*u - 2)
Solve -197*v**2 - 595*v - 12 = 0.
-3, -4/197
Solve d**4 + d**3 - 10*d**2 + 8*d = 0.
-4, 0, 