iven that 17*t**2/8 + 5*t/8 - 3/2 = 0.
-1, 12/17
Factor 4*s**2 - 52*s - 56.
4*(s - 14)*(s + 1)
Solve 3*k**2/5 + 102*k/5 + 72 = 0 for k.
-30, -4
Solve 3*t**2 - 642*t + 34347 = 0 for t.
107
Suppose 3*b**2 + 8700*b + 6307500 = 0. Calculate b.
-1450
Factor -2*x**4 + 12*x**2 - 16*x + 6.
-2*(x - 1)**3*(x + 3)
Factor z**4/7 - 9*z**3/7 - 57*z**2/7 + 65*z/7.
z*(z - 13)*(z - 1)*(z + 5)/7
Find f, given that 18*f**5/11 - 42*f**4/11 + 14*f**3/11 + 34*f**2/11 - 32*f/11 + 8/11 = 0.
-1, 2/3, 1
Find q such that q**3/2 - 42*q**2 - 174*q - 176 = 0.
-2, 88
Let 3*d**2/7 + 180*d/7 + 375 = 0. Calculate d.
-35, -25
Factor w**5 + 4*w**4 - 18*w**3 + 20*w**2 - 7*w.
w*(w - 1)**3*(w + 7)
What is t in t**4/3 + 4*t**3 + 14*t**2 + 52*t/3 + 7 = 0?
-7, -3, -1
Let 9*u**2 + 12*u - 60 = 0. Calculate u.
-10/3, 2
Solve 184*r**2 - 188*r + 4 = 0 for r.
1/46, 1
Factor g**2 + 82*g + 1681.
(g + 41)**2
Factor -k**3/2 + 149*k**2/2 - 74*k.
-k*(k - 148)*(k - 1)/2
Factor -2*u**5/7 + 4*u**4/7 + 22*u**3/7 - 24*u**2/7 - 72*u/7.
-2*u*(u - 3)**2*(u + 2)**2/7
Solve -2*a**2/3 + 200*a/3 - 5000/3 = 0 for a.
50
Factor -p**4/6 + 2*p**3/3 + 11*p**2/6 - 5*p.
-p*(p - 5)*(p - 2)*(p + 3)/6
Factor -f**5/2 + 19*f**4/2 + 44*f**3 + 46*f**2.
-f**2*(f - 23)*(f + 2)**2/2
Factor 2*s**2/13 - 10*s/13 + 8/13.
2*(s - 4)*(s - 1)/13
What is o in o**2/2 + 89*o - 179/2 = 0?
-179, 1
Factor 2*c**4 + 42*c**3 - 1980*c**2 + 1936*c.
2*c*(c - 22)*(c - 1)*(c + 44)
Factor -6*z**2/7 + 264*z/7 - 72.
-6*(z - 42)*(z - 2)/7
Factor o**2/3 - 40*o/3 + 319/3.
(o - 29)*(o - 11)/3
Determine n so that -9*n**5 + 210*n**4 - 1350*n**3 + 1380*n**2 + 495*n - 726 = 0.
-2/3, 1, 11
Factor 3*w**3 + 396*w**2 - 801*w + 402.
3*(w - 1)**2*(w + 134)
Find q such that -4*q**3 + 8*q**2 + 28*q + 16 = 0.
-1, 4
Factor g**4/3 - 16*g**3 + 46*g**2 - 136*g/3 + 15.
(g - 45)*(g - 1)**3/3
Factor 4*i**3/3 + 5*i**2 + 17*i/3 + 2.
(i + 1)*(i + 2)*(4*i + 3)/3
Factor -5*r**3 - 80*r**2 - 320*r.
-5*r*(r + 8)**2
Factor -f**4/10 - 21*f**3/10 + 153*f**2/10 - 243*f/10.
-f*(f - 3)**2*(f + 27)/10
Factor 4*c**3 - 4576*c**2 - 4580*c.
4*c*(c - 1145)*(c + 1)
Find t, given that -4*t**4 - 12*t**3 + 24*t**2 + 32*t = 0.
-4, -1, 0, 2
Let 2*k**2 + 148*k - 1134 = 0. What is k?
-81, 7
Let -a**5 - 56*a**4 - 408*a**3 - 1184*a**2 - 1552*a - 768 = 0. What is a?
-48, -2
Solve 5*b**3 - 70*b**2 + 125*b - 60 = 0.
1, 12
Find p, given that 5*p**5 - 65*p**4 + 95*p**3 + 165*p**2 = 0.
-1, 0, 3, 11
Factor 2*t**2 - 38*t - 132.
2*(t - 22)*(t + 3)
Factor -2*b**4 - 26*b**3 + 2*b**2 + 26*b.
-2*b*(b - 1)*(b + 1)*(b + 13)
Factor j**4/4 - 61*j**3/4 + 312*j**2 - 2241*j + 1944.
(j - 24)*(j - 18)**2*(j - 1)/4
Factor 4*q**3/7 + 4*q**2/7 - 8*q/7.
4*q*(q - 1)*(q + 2)/7
Factor -4*o**2 + 72*o - 68.
-4*(o - 17)*(o - 1)
Factor n**3 + 3*n**2/4 - 9*n - 27/4.
(n - 3)*(n + 3)*(4*n + 3)/4
Factor 4*v**5 - 41*v**4 + 106*v**3 - 112*v**2 + 50*v - 7.
(v - 7)*(v - 1)**3*(4*v - 1)
Suppose -p**3/8 - 13*p**2/8 - 11*p/2 - 4 = 0. Calculate p.
-8, -4, -1
Suppose 5*f**5 + 165*f**4 - 530*f**3 + 360*f**2 = 0. Calculate f.
-36, 0, 1, 2
What is v in 2*v**5/5 - 4*v**4/5 - 2*v**3/5 + 4*v**2/5 = 0?
-1, 0, 1, 2
Determine x, given that 4*x**2 + 560*x + 19600 = 0.
-70
Determine n so that 4*n**4 - 68*n**3 + 180*n**2 - 172*n + 56 = 0.
1, 14
Solve 3*p**2 - 72*p + 432 = 0.
12
Suppose -2*o**3/3 - 8*o**2/9 - 2*o/9 = 0. Calculate o.
-1, -1/3, 0
Solve 2*t**2/5 - 628*t/5 + 49298/5 = 0.
157
Determine j so that 2*j**2/7 - 10*j/7 - 12/7 = 0.
-1, 6
Factor 2*n**3 + 4*n**2 - 40*n + 48.
2*(n - 2)**2*(n + 6)
Find l such that -2*l**4 + 2*l**3 + 30*l**2 + 46*l + 20 = 0.
-2, -1, 5
Determine u, given that -u**2 + 774*u - 149769 = 0.
387
Solve 3*u**4 - 246*u**3 + 5040*u**2 + 246*u - 5043 = 0.
-1, 1, 41
Factor 5*s**4 + 4400*s**3 + 1452000*s**2 + 212960000*s + 11712800000.
5*(s + 220)**4
Suppose 2*x**2/7 + 380*x/7 - 382/7 = 0. Calculate x.
-191, 1
Suppose -2*z**3/3 - 8*z**2/3 + 10*z/3 = 0. What is z?
-5, 0, 1
Solve -2*b**4/3 - 164*b**3/15 - 118*b**2/5 - 256*b/15 - 56/15 = 0.
-14, -1, -2/5
Let -112*v**3/3 + 3032*v**2/3 - 19855*v/3 - 3025 = 0. Calculate v.
-3/7, 55/4
Find h, given that 2*h**5 + 28*h**4 + 156*h**3 + 432*h**2 + 594*h + 324 = 0.
-3, -2
Factor 2*g**2/21 - 4*g/21 - 2/7.
2*(g - 3)*(g + 1)/21
Factor 45*f**2/2 - 93*f/2 + 3.
3*(f - 2)*(15*f - 1)/2
Factor l**3/4 - 147*l**2/2 - 591*l/4 - 74.
(l - 296)*(l + 1)**2/4
Determine q, given that -2*q**5/13 - 2*q**4/13 + 2*q**3 + 2*q**2/13 - 24*q/13 = 0.
-4, -1, 0, 1, 3
Factor -12*x**2/11 + 46*x/11 - 30/11.
-2*(x - 3)*(6*x - 5)/11
Solve 46787312*w**3/9 - 163592*w**2/3 + 572*w/3 - 2/9 = 0.
1/286
Let -x**4 - 19*x**3 - 33*x**2 + 19*x + 34 = 0. What is x?
-17, -2, -1, 1
Let -p**3 + 20*p**2 - 117*p + 162 = 0. What is p?
2, 9
Factor -2*u**3/3 + 24*u**2 - 190*u - 1444/3.
-2*(u - 19)**2*(u + 2)/3
Factor -3*r**5 - 1488*r**4 - 245019*r**3 - 13228374*r**2 + 27197772*r - 13722888.
-3*(r - 1)**2*(r + 166)**3
Factor l**2/4 + 65*l + 4225.
(l + 130)**2/4
Factor -4*r**3 - 80*r**2 + 2412*r - 12312.
-4*(r - 9)**2*(r + 38)
Suppose 6*l**3/5 + 226*l**2/5 + 446*l/15 + 74/15 = 0. Calculate l.
-37, -1/3
Factor 4*f**4 - 96*f**3 + 660*f**2 - 968*f.
4*f*(f - 11)**2*(f - 2)
Factor -2*w**2/9 - 50*w/9 - 56/3.
-2*(w + 4)*(w + 21)/9
Determine s, given that s**2/3 + 5*s + 12 = 0.
-12, -3
Let -40*h**4 - 98*h**3 + 338*h**2/5 + 16*h/5 - 24/5 = 0. Calculate h.
-3, -1/4, 2/5
Find t such that -2*t**4/3 + 49*t**3/3 - 81*t**2 - 454*t/3 - 160/3 = 0.
-1, -1/2, 10, 16
Factor 51*u**4 - 45*u**3 - 6*u**2.
3*u**2*(u - 1)*(17*u + 2)
Determine w so that w**2/2 + 5*w/2 - 3 = 0.
-6, 1
Let -f**4/7 - 5*f**3/7 - 4*f**2/7 = 0. Calculate f.
-4, -1, 0
Solve -h**4/5 + 8*h**3/5 - 19*h**2/5 + 12*h/5 = 0.
0, 1, 3, 4
What is x in -3*x**5 - 135*x**4 + 282*x**3 - 6*x**2 - 279*x + 141 = 0?
-47, -1, 1
Suppose 3*s**3 - 1368*s**2 + 207936*s - 10535424 = 0. Calculate s.
152
Solve 3*y**2/4 + 81*y/4 - 87/2 = 0 for y.
-29, 2
Suppose w**2 - 542*w + 73441 = 0. Calculate w.
271
Determine o so that -2*o**4/7 - 4*o**3 - 10*o**2 - 44*o/7 = 0.
-11, -2, -1, 0
Find t such that t**4/10 + 57*t**3/2 - 115*t**2/2 - 57*t/2 + 287/5 = 0.
-287, -1, 1, 2
Factor -f**2/3 + 40*f - 1200.
-(f - 60)**2/3
Determine q, given that -q**5/9 + 43*q**4/9 - 70*q**3 + 3332*q**2/9 - 2744*q/9 = 0.
0, 1, 14
Factor -j**2/6 - 209*j/6.
-j*(j + 209)/6
Factor x**2/2 - 2188*x + 2393672.
(x - 2188)**2/2
Solve 3*p**2/4 + 201*p/4 + 144 = 0.
-64, -3
Factor -5*b**3 + 20*b**2 + 255*b + 450.
-5*(b - 10)*(b + 3)**2
Factor 4*p**3 + 8*p**2 - 80*p + 96.
4*(p - 2)**2*(p + 6)
Determine y so that y**5 + 2*y**4 - 17*y**3 - 18*y**2 + 72*y = 0.
-4, -3, 0, 2, 3
Factor -25*a**5/2 - 51*a**4 - 79*a**3 - 56*a**2 - 33*a/2 - 1.
-(a + 1)**4*(25*a + 2)/2
Solve -r**3 + 4*r**2 - 4*r = 0 for r.
0, 2
Factor -2*p**4 + 16*p**3 + 150*p**2 + 244*p + 112.
-2*(p - 14)*(p + 1)**2*(p + 4)
Factor -d**4/2 - 37*d**3 + 154*d**2 - 156*d.
-d*(d - 2)**2*(d + 78)/2
Factor -2*a**4 - 26*a**3 - 90*a**2 + 50*a + 500.
-2*(a - 2)*(a + 5)**3
Factor 2*o**2 + 1508*o + 1506.
2*(o + 1)*(o + 753)
Factor 5*l**3 - 185*l**2 + 680*l - 660.
5*(l - 33)*(l - 2)**2
Suppose 4*p**3 - 4*p**2 - 8*p = 0. What is p?
-1, 0, 2
Factor 2*v**4 - 1142*v**3 + 163590*v**2 - 162450*v.
2*v*(v - 285)**2*(v - 1)
Determine k so that k**3/3 - 50*k**2/3 + 625*k/3 = 0.
0, 25
Solve -y**3 - 109*y**2 - 424*y - 420 = 0.
-105, -2
Let -2*r**2/11 + 10*r/11 = 0. Calculate r.
0, 5
Solve 2*y**2/3 + 806*y - 2420/3 = 0.
-1210, 1
Factor -6*g**2 - 2727*g - 1362.
-3*(g + 454)*(2*g + 1)
Suppose -j**3/8 - 25*j**2/8 + 625*j/8 + 15625/8 = 0. Calculate j.
-25, 25
Factor q**2/5 + 28*q.
q*(q + 140)/5
What is v in 3*v**2/5 - 171*v - 1722/5 = 0?
-2, 287
Let -s**2/3 + 2*s/3 - 1/3 = 0. Calculate s.
1
Factor -k**3/5 - 29*k**2.
-k**2*(k + 145)/5
What is d in d**3 + 3*d**2 - 4 = 0?
-2, 1
Find f, given that -2*f**2/7 + 36*f/7 - 64/7 = 0.
2, 16
Factor 3*g**2 - 9*g - 12.
3*(g - 4)*(g + 1)
Find x such that 4*x**3/7 - 136*x**2 - 2908*x/7 + 3856/7 = 0.
-4, 1, 241
Suppose 12*r**5 + 748*r**4 + 980*r**3 + 244*r**2 = 0. What is r?
-61, -1, -1/3, 0
Find r, given that -2*r**4/3 - 12*r**3 + 2*r**2 + 104*r/3 - 24 = 0.
-18, -2, 1
Find s, given that 22*s**2 + 2900*s - 528 = 0.
-132, 2/11
Factor -h**2/4 - 11*h/4 + 3.
-(h - 1)*(h + 12)/4
Find d such that 2*d**2 + 358*d = 0.
-179, 0
Factor t**3 + 17*t**2 + 42*t.
t*(t + 3)*(t + 14)
Factor -p**3 + 9*p**2 + p - 9.
-(p - 9)*(p -