 0.
-175, -2, -1/4, 0
Factor 2*h**3/17 - 44*h**2/17 + 130*h/17 + 1352/17.
2*(h - 13)**2*(h + 4)/17
Factor 4*v**4 - 220*v**3 - 2016*v**2.
4*v**2*(v - 63)*(v + 8)
Solve 3*p**5/5 + 58*p**4/5 + 149*p**3/5 - 186*p**2/5 - 152*p/5 + 128/5 = 0 for p.
-16, -4, -1, 2/3, 1
Find p such that 3*p**5/2 - 27*p**4/2 + 21*p**3 + 3*p**2 - 45*p/2 + 21/2 = 0.
-1, 1, 7
Factor -3*s**2/8 + 21*s/2.
-3*s*(s - 28)/8
Factor 2*z**3/5 - 54*z**2/5 + 432*z/5 - 864/5.
2*(z - 12)**2*(z - 3)/5
Factor 15*z**5 + 96*z**4 + 36*z**3.
3*z**3*(z + 6)*(5*z + 2)
Factor -4*t**4/3 - 8*t**3/3 + 4*t**2/3 + 8*t/3.
-4*t*(t - 1)*(t + 1)*(t + 2)/3
Factor -100*x**3 - 580*x**2 - 416*x - 80.
-4*(x + 5)*(5*x + 2)**2
Suppose 50*d**2 + 65*d - 15 = 0. What is d?
-3/2, 1/5
Let w**5 - 156*w**4 + 6387*w**3 - 23560*w**2 + 17328*w = 0. What is w?
0, 1, 3, 76
Factor 15*r**3 - 140*r**2 + 165*r - 40.
5*(r - 8)*(r - 1)*(3*r - 1)
Factor -2*l**2/23 - 1268*l/23 - 200978/23.
-2*(l + 317)**2/23
Factor -a**4/6 - 5*a**3/3 - 3*a**2/2.
-a**2*(a + 1)*(a + 9)/6
Find q, given that -2*q**2 - 72*q - 648 = 0.
-18
Factor 100*q**3 + 320*q**2 + 256*q.
4*q*(5*q + 8)**2
Factor 2*c**4/3 - 2*c**3 - 6*c**2 - 10*c/3.
2*c*(c - 5)*(c + 1)**2/3
What is p in -3*p**2/7 - 99*p/7 + 102/7 = 0?
-34, 1
Factor l**2/3 - 130*l/3 + 4225/3.
(l - 65)**2/3
Factor -2*r**5 - 28*r**4 - 120*r**3 - 144*r**2.
-2*r**2*(r + 2)*(r + 6)**2
Let s**2/4 + 1159*s/4 = 0. What is s?
-1159, 0
Suppose -4*u**5 - 4*u**4 + 52*u**3 + 4*u**2 - 48*u = 0. Calculate u.
-4, -1, 0, 1, 3
Solve -12*d**3 + 141*d**2 - 396*d - 108 = 0 for d.
-1/4, 6
Let 5*u**3/3 + 16*u**2 + 100*u/3 - 16 = 0. What is u?
-6, -4, 2/5
Solve -3*u**5 - 6*u**4 + 15*u**3 + 18*u**2 = 0 for u.
-3, -1, 0, 2
Solve h**5/3 - 22*h**4/3 + 109*h**3/3 - 220*h**2/3 + 196*h/3 - 64/3 = 0.
1, 2, 16
Factor -v**4 - 42*v**3 - 120*v**2 - 118*v - 39.
-(v + 1)**3*(v + 39)
Let -3*x**2 + 342*x + 345 = 0. What is x?
-1, 115
Factor 2*d**3/13 - 30*d**2/13 + 96*d/13 - 88/13.
2*(d - 11)*(d - 2)**2/13
Suppose -3*g**4/8 - 15*g**3/2 + 3*g**2/8 + 15*g/2 = 0. Calculate g.
-20, -1, 0, 1
Solve 5*v**4 + 360*v**3 - 15*v**2 - 1070*v + 720 = 0.
-72, -2, 1
Factor -2*n**2 - 220*n.
-2*n*(n + 110)
Determine t, given that -t**3/3 + 649*t**2/3 - 1295*t/3 + 647/3 = 0.
1, 647
Determine k so that -2*k**2/5 - 948*k/5 - 946/5 = 0.
-473, -1
Let 4*x**5/3 + 92*x**4/3 + 253*x**3/3 + 266*x**2/3 + 121*x/3 + 20/3 = 0. Calculate x.
-20, -1, -1/2
Determine a so that -20*a**5 + 345*a**4 - 745*a**3 - 2255*a**2 - 795*a + 350 = 0.
-1, 1/4, 5, 14
Suppose -6*o**3 + 4*o**2 + 6*o - 4 = 0. Calculate o.
-1, 2/3, 1
Factor -3*n**2 - 18*n + 21.
-3*(n - 1)*(n + 7)
Factor -w**4/12 + 3*w**3 + w**2/12 - 3*w.
-w*(w - 36)*(w - 1)*(w + 1)/12
Factor -2*i**5/21 - 26*i**4/21 - 44*i**3/21.
-2*i**3*(i + 2)*(i + 11)/21
Factor 2*b**2 - 186*b + 3564.
2*(b - 66)*(b - 27)
Factor 4*y**2 + 320*y + 624.
4*(y + 2)*(y + 78)
Determine k so that -k**3 - 341*k**2 - 28552*k + 88752 = 0.
-172, 3
Factor 3*d**3 + 516*d**2 + 22695*d + 43350.
3*(d + 2)*(d + 85)**2
Let 3*w**5/7 - 18*w**4/7 + 24*w**3/7 + 6*w**2/7 - 27*w/7 + 12/7 = 0. Calculate w.
-1, 1, 4
Solve -2*a**5 - 6*a**4 - 4*a**3 + 4*a**2 + 6*a + 2 = 0 for a.
-1, 1
Determine a so that -30*a**3 - 441*a**2 + 135*a = 0.
-15, 0, 3/10
Suppose 3*b**2/4 + 3*b = 0. Calculate b.
-4, 0
Factor 4*d**3/3 - 32*d**2 - 144*d - 448/3.
4*(d - 28)*(d + 2)**2/3
What is a in 2*a**4/7 + 8*a**3/7 - 6*a**2/7 - 4*a - 16/7 = 0?
-4, -1, 2
Suppose -3*s**4 - 264*s**3 - 8064*s**2 - 94080*s - 263424 = 0. What is s?
-28, -4
Solve -961*l**5/4 - 899*l**4/2 + 61*l**3 - 2*l**2 = 0 for l.
-2, 0, 2/31
Factor p**2/2 - 29*p/2 + 39.
(p - 26)*(p - 3)/2
What is r in -3*r**4 + 144*r**3 - 135*r**2 - 282*r = 0?
-1, 0, 2, 47
Factor 3*a**4 + 21*a**3 + 30*a**2.
3*a**2*(a + 2)*(a + 5)
Suppose 45*u**4/7 + 93*u**3/7 - 174*u**2/7 - 372*u/7 - 24/7 = 0. What is u?
-2, -1/15, 2
Find f such that -2*f**4/9 - 260*f**3/9 - 8450*f**2/9 = 0.
-65, 0
Suppose -18*x**3 + 131*x**2 - 145*x + 42 = 0. What is x?
1/2, 7/9, 6
Factor x**2/4 - 451*x/2 + 203401/4.
(x - 451)**2/4
Find a such that -2*a**4/3 - 10*a**3 + 46*a**2 + 1190*a/3 = 0.
-17, -5, 0, 7
What is v in 2*v**2/7 - 4*v/7 - 6/7 = 0?
-1, 3
Suppose t**4/10 + 43*t**3/10 - 97*t**2/10 - 319*t/10 - 18 = 0. What is t?
-45, -1, 4
Factor -2*d**4 + 18*d**3 - 30*d**2 + 14*d.
-2*d*(d - 7)*(d - 1)**2
Solve 4*r**5 - 12*r**4 + 4*r**3 + 12*r**2 - 8*r = 0.
-1, 0, 1, 2
Suppose 3*o**2 + 207*o - 3780 = 0. Calculate o.
-84, 15
Factor 3*m**2/5 - 87*m/5 + 462/5.
3*(m - 22)*(m - 7)/5
Factor 4*y**3 - 328*y**2 - 2816*y - 5760.
4*(y - 90)*(y + 4)**2
Let 4*i**3 = 0. What is i?
0
Suppose 2*t**3/3 + 2200*t**2/3 = 0. What is t?
-1100, 0
Determine f so that f**4/3 + 7*f**3/3 + 11*f**2/3 + 5*f/3 = 0.
-5, -1, 0
Factor -4*t**3/7 + 36*t**2/7 - 60*t/7 + 4.
-4*(t - 7)*(t - 1)**2/7
Find a such that 5*a**2 - 55*a - 60 = 0.
-1, 12
Factor -5*w**2 + 16755*w - 16750.
-5*(w - 3350)*(w - 1)
Solve j**5/6 + 430*j**4/3 + 147920*j**3/3 + 25442240*j**2/3 + 2188032640*j/3 + 75268322816/3 = 0.
-172
Let 35*j**5 + 170*j**4 + 225*j**3 - 50*j**2 - 260*j - 120 = 0. What is j?
-2, -1, -6/7, 1
Determine c, given that -c**2 - 113*c = 0.
-113, 0
Let 2*u**3/7 + 286*u**2/7 = 0. What is u?
-143, 0
Factor -5*d**5 - 115*d**4 - 1055*d**3 - 4825*d**2 - 11000*d - 10000.
-5*(d + 4)**2*(d + 5)**3
Factor k**4/5 + 14*k**3 + 1153*k**2/5 - 504*k + 1296/5.
(k - 1)**2*(k + 36)**2/5
Factor -w**4/5 + 151*w**3/5 - 5624*w**2/5 - 5776*w/5.
-w*(w - 76)**2*(w + 1)/5
Solve -2*d**5/5 + 6*d**4 - 22*d**3/5 - 94*d**2/5 + 144*d/5 - 56/5 = 0.
-2, 1, 14
Factor -13924*u**3 - 14632*u**2 - 717*u - 9.
-(u + 1)*(118*u + 3)**2
Suppose f**3/4 - 5*f**2/4 - 7*f/2 = 0. Calculate f.
-2, 0, 7
Factor w**4/7 - 18*w**3/7 - 39*w**2/7 - 20*w/7.
w*(w - 20)*(w + 1)**2/7
Factor -5*t**4 + 1060*t**3 - 55110*t**2 - 113420*t - 57245.
-5*(t - 107)**2*(t + 1)**2
Factor -u**3/3 - 3*u**2 - 8*u/3.
-u*(u + 1)*(u + 8)/3
Suppose 5*u**4 - 45*u**3 + 150*u**2 - 220*u + 120 = 0. What is u?
2, 3
Let 2*f**5 - 64*f**4 - 72*f**3 + 196*f**2 + 70*f - 132 = 0. What is f?
-2, -1, 1, 33
Find m such that m**2 - 48*m + 576 = 0.
24
Find r, given that -2*r**5/13 - 2*r**4/13 + 6*r**3/13 + 10*r**2/13 + 4*r/13 = 0.
-1, 0, 2
Factor -4*p**2/3 - 76*p - 408.
-4*(p + 6)*(p + 51)/3
Determine a, given that -4*a**4 + 64*a**3 - 156*a**2 - 16*a + 208 = 0.
-1, 2, 13
Factor 8*k**4 - 52*k**3 + 36*k**2 + 160*k + 64.
4*(k - 4)**2*(k + 1)*(2*k + 1)
Factor -20*f**5 - 21*f**4 - f**3.
-f**3*(f + 1)*(20*f + 1)
Factor -4*m**4 + 4*m**3 + 12*m**2 - 20*m + 8.
-4*(m - 1)**3*(m + 2)
Solve -3*y**2 - 57*y - 54 = 0 for y.
-18, -1
Let -w**5/6 + 13*w**4/6 - 19*w**3/6 - 37*w**2/6 + 20*w/3 + 22/3 = 0. What is w?
-1, 2, 11
Suppose t**5/3 - 65*t**4/3 + 1022*t**3/3 + 1154*t**2/3 - 341*t - 363 = 0. Calculate t.
-1, 1, 33
Factor j**4/6 - 133*j**3/6 + 747*j**2 - 594*j - 4356.
(j - 66)**2*(j - 3)*(j + 2)/6
Factor f**2/8 + 7*f/2 - 93/8.
(f - 3)*(f + 31)/8
Find x, given that -2*x**2/15 - 1492*x/15 - 278258/15 = 0.
-373
Solve -4*p**3 + 892*p**2 - 50172*p + 49284 = 0 for p.
1, 111
Find h such that 12*h**2 - 18808*h + 6268 = 0.
1/3, 1567
Solve -h**3/8 - 3*h**2 + h/2 + 12 = 0 for h.
-24, -2, 2
Factor 20667*u**3 - 20169*u**2 - 495*u - 3.
3*(u - 1)*(83*u + 1)**2
Factor -2*p**2/15 - 38*p/15.
-2*p*(p + 19)/15
Factor s**2 - 7*s + 10.
(s - 5)*(s - 2)
Factor 3*w**3 + 30*w**2 + 63*w.
3*w*(w + 3)*(w + 7)
Find b such that -3*b**5 + 48*b**3 + 114*b**2 + 99*b + 30 = 0.
-2, -1, 5
Factor s**4/11 - 2*s**3/11 - s**2 + 12*s/11.
s*(s - 4)*(s - 1)*(s + 3)/11
Factor t**2 + 1143*t - 2290.
(t - 2)*(t + 1145)
Find l such that 3*l**5/2 - 3*l**4 - 36*l**3 = 0.
-4, 0, 6
Factor -5*d**2 + 575*d + 1770.
-5*(d - 118)*(d + 3)
Factor -2*a**2/13 - 946*a/13 - 944/13.
-2*(a + 1)*(a + 472)/13
Factor -i**3/10 + 93*i**2/10 + i/10 - 93/10.
-(i - 93)*(i - 1)*(i + 1)/10
Factor 5*r**3/4 - 5*r**2 - 175*r/4 + 375/2.
5*(r - 5)**2*(r + 6)/4
Let -j**2/4 - 47*j/2 - 2209/4 = 0. What is j?
-47
What is i in 4*i**4 - 15*i**3 + 12*i**2 + 4*i = 0?
-1/4, 0, 2
Find h, given that -h**2/7 - 424*h/7 - 44944/7 = 0.
-212
Let -a**5/4 - 3*a**4/4 + a**3/2 + 3*a**2 + 2*a = 0. What is a?
-2, -1, 0, 2
Suppose -2*q**4/11 + 1604*q**3/11 + 8054*q**2/11 + 12904*q/11 + 6456/11 = 0. What is q?
-2, -1, 807
Determine t, given that 5*t**2 - 25*t - 30 = 0.
-1, 6
Factor -5*n**3 - 35*n**2 + 90*n.
-5*n*(n - 2)*(n + 9)
Factor