e 25*w**4/2 + 135*w**3/2 + 1009*w**2/8 + 189*w/2 + 49/2 = 0.
-2, -7/10
Solve -q**2 + 17*q - 30 = 0.
2, 15
Let z**2/3 - 83*z - 250/3 = 0. What is z?
-1, 250
Suppose 189*j**5/5 + 3*j**4 - 39*j**3 - 3*j**2 + 6*j/5 = 0. Calculate j.
-1, -2/9, 0, 1/7, 1
Find k such that -2*k**4 + 312*k**3 + 6*k**2 - 940*k + 624 = 0.
-2, 1, 156
Solve -h**5/3 - 44*h**4/3 - 28*h**3 = 0.
-42, -2, 0
Solve -2*a**5/7 + 10*a**3 + 60*a**2/7 - 320*a/7 + 192/7 = 0.
-4, 1, 6
Let 2*d**2 - 442*d - 444 = 0. Calculate d.
-1, 222
Factor 3*g**3 + 429*g**2 + 849*g + 423.
3*(g + 1)**2*(g + 141)
Factor y**2 - 358*y + 32041.
(y - 179)**2
Solve -3*h**3/4 - 135*h**2/2 - 2025*h - 20250 = 0 for h.
-30
Factor -s**4 - 53*s**3 + 54*s**2.
-s**2*(s - 1)*(s + 54)
Let -4*p**4/7 + 44*p**3/7 + 1796*p**2/7 - 1836*p/7 = 0. Calculate p.
-17, 0, 1, 27
Factor 3*t**3/2 - 33*t**2/2 + 36*t + 54.
3*(t - 6)**2*(t + 1)/2
Factor -27*i**3 + 150*i**2 - 276*i + 168.
-3*(i - 2)**2*(9*i - 14)
Suppose 2*q**3 + 32*q**2 + 30*q = 0. What is q?
-15, -1, 0
Let 3*q**2 - 189*q + 186 = 0. What is q?
1, 62
Find y such that y**2/6 + 2*y/3 - 5/6 = 0.
-5, 1
Factor 5*s**2 - 350*s + 2205.
5*(s - 63)*(s - 7)
Factor u**2/4 + 67*u/2 - 695/4.
(u - 5)*(u + 139)/4
Factor 12*x**3 + 648*x**2 + 639*x + 159.
3*(x + 53)*(2*x + 1)**2
Factor -n**2 - 13*n/2 - 15/2.
-(n + 5)*(2*n + 3)/2
Suppose d**5/3 - 336*d**4 + 256025*d**3/3 - 1013038*d**2/3 + 420676*d - 504008/3 = 0. What is d?
1, 2, 502
Suppose 2*s**3/15 + 408*s**2/5 + 12320*s - 758912/15 = 0. Calculate s.
-308, 4
Factor 23*l**3/6 - 7*l**2/2 - 23*l/6 + 7/2.
(l - 1)*(l + 1)*(23*l - 21)/6
Solve 2*a**3 - 8*a**2 - 104*a - 160 = 0 for a.
-4, -2, 10
Factor -14*h**3 + 24*h**2 + 66*h - 76.
-2*(h - 1)*(h + 2)*(7*h - 19)
Find p, given that 2*p**4/3 - 26*p**3 + 856*p**2/3 - 552*p - 864 = 0.
-1, 4, 18
Factor -2*t**3/15 - 34*t**2/15 - 10*t - 66/5.
-2*(t + 3)**2*(t + 11)/15
Let t**3/3 - 8*t**2/3 + 5*t = 0. What is t?
0, 3, 5
Factor 3*d**2/5 + 30*d + 147/5.
3*(d + 1)*(d + 49)/5
Let 4*j**3 + 191*j**2 + 1100*j - 287 = 0. What is j?
-41, -7, 1/4
Let -3*x**3/7 + 9096*x**2/7 - 6894768*x/7 = 0. What is x?
0, 1516
Let 10*y**3 + 18*y**2 - 4*y = 0. What is y?
-2, 0, 1/5
Factor -r**2/5 - 7*r - 34/5.
-(r + 1)*(r + 34)/5
Let -f**4 - 243*f**3 + f**2 + 243*f = 0. What is f?
-243, -1, 0, 1
Suppose 5*d**2 - 1300*d + 84500 = 0. Calculate d.
130
Factor -5*s**3/4 + 1335*s**2/4 - 118815*s/4 + 3524845/4.
-5*(s - 89)**3/4
Factor 5*w**2 + 45*w + 100.
5*(w + 4)*(w + 5)
Factor 2*i**2/5 + 6*i/5 - 4.
2*(i - 2)*(i + 5)/5
Find p, given that -2*p**2/15 + 166*p/15 - 108/5 = 0.
2, 81
Determine k, given that -3*k**5/4 + 33*k**4 - 243*k**3/4 - 189*k**2/2 = 0.
-1, 0, 3, 42
Factor 2*z**2/3 + 194*z/3 + 364.
2*(z + 6)*(z + 91)/3
Let -4*n**4/9 + 20*n**3/9 = 0. What is n?
0, 5
Solve -2*y**3/13 - 332*y**2/13 - 9400*y/13 + 388784/13 = 0.
-94, 22
Factor 13122*d**2/5 - 29808*d/5 + 16928/5.
2*(81*d - 92)**2/5
Factor 5*s**4 - 20*s**3 - 5*s**2 + 20*s.
5*s*(s - 4)*(s - 1)*(s + 1)
Let -k**3/9 - 2*k**2/9 + k + 2 = 0. What is k?
-3, -2, 3
Solve -3*h**2/5 + 69*h/5 - 36 = 0 for h.
3, 20
Factor -2*w**4 + 59*w**3 - 1275*w**2/2 + 11849*w/4 - 4913.
-(w - 4)*(2*w - 17)**3/4
Factor -2*w**2 + 482*w - 2820.
-2*(w - 235)*(w - 6)
Find d such that 48*d**5 + 7896*d**4 - 4005*d**3 - 7401*d**2 + 3957*d - 495 = 0.
-165, -1, 1/4, 1
Factor -4*b**2/7 - 8*b/7 + 12/7.
-4*(b - 1)*(b + 3)/7
Factor 2*c**4 + 25*c**3/4 + 27*c**2/4 + 11*c/4 + 1/4.
(c + 1)**3*(8*c + 1)/4
Factor -5*h**5 + 270*h**4 - 525*h**3 + 260*h**2.
-5*h**2*(h - 52)*(h - 1)**2
Factor u**3 - 57*u**2 + 720*u + 2700.
(u - 30)**2*(u + 3)
Determine b so that -4*b**3/3 + 1420*b**2/3 + 4*b/3 - 1420/3 = 0.
-1, 1, 355
Let -2*p**4/5 - 18*p**3/5 - 48*p**2/5 - 32*p/5 = 0. What is p?
-4, -1, 0
What is x in 10*x**4 + 6525*x**3 + 1072485*x**2 + 2630875*x - 1584375 = 0?
-325, -3, 1/2
Determine a, given that -2*a**4/15 + 2*a**3/15 + 4*a**2/5 - 8*a/15 - 16/15 = 0.
-2, -1, 2
Let -r**4 + 991*r**3/2 - 495*r**2/2 = 0. Calculate r.
0, 1/2, 495
Factor x**3/3 + 5*x**2 + 24*x + 112/3.
(x + 4)**2*(x + 7)/3
Factor 4*i**2 + 62*i - 32.
2*(i + 16)*(2*i - 1)
Factor 3*c**2/5 - 48*c/5 + 192/5.
3*(c - 8)**2/5
Factor r**2/3 - 98*r/3 - 208.
(r - 104)*(r + 6)/3
What is g in -5*g**2 - 45850*g - 105111125 = 0?
-4585
Determine i, given that -i**3/2 + 529*i**2/2 - 69695*i/2 - 70225/2 = 0.
-1, 265
Find o such that 4*o**4 + 56*o**3 + 176*o**2 + 160*o = 0.
-10, -2, 0
Let -k**5/8 - 12*k**4 - 384*k**3 - 4096*k**2 = 0. What is k?
-32, 0
Factor 3*k**4 - 3*k**3.
3*k**3*(k - 1)
Let c**5/4 + 7*c**4/4 + c**3 - 3*c**2 = 0. Calculate c.
-6, -2, 0, 1
Solve -z**2/5 + 78*z - 776/5 = 0 for z.
2, 388
Factor v**4/11 + 7*v**3/11 + 15*v**2/11 + 9*v/11.
v*(v + 1)*(v + 3)**2/11
What is i in -i**5/4 + i**4 + 2*i**3 - 5*i**2/2 - 23*i/4 - 5/2 = 0?
-1, 2, 5
Determine a, given that -4*a**2 - 6728*a - 2829124 = 0.
-841
Let -306*n**4 + 59*n**3 + 2*n**2 = 0. What is n?
-1/34, 0, 2/9
Suppose -24843*u**3 + 1141686*u**2 + 50220*u + 552 = 0. What is u?
-2/91, 46
Factor -2*u**4/15 + 28*u**3/15 - 46*u**2/5 + 56*u/3 - 40/3.
-2*(u - 5)**2*(u - 2)**2/15
Let -12*d**3/5 - 374*d**2 + 312*d/5 = 0. Calculate d.
-156, 0, 1/6
Find r such that -r**5/3 - 25*r**4/3 + 95*r**3 + 685*r**2/3 - 284*r/3 - 220 = 0.
-33, -2, -1, 1, 10
Solve 3*b**5/8 - 45*b**4/8 - 501*b**3/8 - 1143*b**2/8 - 345*b/4 = 0.
-5, -2, -1, 0, 23
Determine l so that l**5 + 65*l**4 + 1084*l**3 + 764*l**2 - 4352*l - 4096 = 0.
-32, -2, -1, 2
Factor -w**2/3 + 11*w - 272/3.
-(w - 17)*(w - 16)/3
Factor -3249*f**3 - 3021*f**2 + 224*f - 4.
-(f + 1)*(57*f - 2)**2
Factor -u**4/3 + 5*u**3/3 - u**2 - 5*u/3 + 4/3.
-(u - 4)*(u - 1)**2*(u + 1)/3
Let q**5/3 - 4*q**4/3 - q**3/3 + 4*q**2/3 = 0. Calculate q.
-1, 0, 1, 4
Solve 4*q**3 + 1972*q**2 + 3932*q + 1964 = 0.
-491, -1
Let 4*o**4 - 4*o**3 - 44*o**2 + 36*o + 72 = 0. Calculate o.
-3, -1, 2, 3
Factor -5*z**2 - 515*z + 1050.
-5*(z - 2)*(z + 105)
Factor 2*c**2/23 + 246*c/23 + 484/23.
2*(c + 2)*(c + 121)/23
Let -2*v**2 + 38*v - 36 = 0. What is v?
1, 18
Find t, given that 3*t**2 - 809*t - 270 = 0.
-1/3, 270
Factor -u**4 + 12*u**3 - 35*u**2 - 12*u + 36.
-(u - 6)**2*(u - 1)*(u + 1)
Find c, given that -2*c**5 + 14*c**4 - 36*c**3 + 40*c**2 - 16*c = 0.
0, 1, 2
Find c such that 11*c**2/7 + 101*c/7 + 18/7 = 0.
-9, -2/11
Suppose b**2 - 14*b + 13 = 0. What is b?
1, 13
Solve -u**3 - 2*u**2 + 20*u - 24 = 0.
-6, 2
Determine y, given that -3*y**2 - 1548*y + 1551 = 0.
-517, 1
Determine k so that 3*k**2 + 633*k = 0.
-211, 0
Factor -6*l**5 + 11*l**4 - 4*l**3 - l**2.
-l**2*(l - 1)**2*(6*l + 1)
Solve i**4/4 + 125*i**3/2 + 1233*i**2/4 + 491*i + 245 = 0.
-245, -2, -1
Find y such that -y**3 - 284*y**2 - 19877*y + 40898 = 0.
-143, 2
Factor 2*b**3 + 126*b**2 + 2646*b + 18522.
2*(b + 21)**3
Factor y**4 + 30*y**3 + 225*y**2.
y**2*(y + 15)**2
Let -2*w**4 - 20*w**3 + 186*w**2 - 116*w - 320 = 0. Calculate w.
-16, -1, 2, 5
Suppose m**3/5 + 12*m**2/5 - 13*m/5 = 0. Calculate m.
-13, 0, 1
Let 242*i**3/7 + 2332*i**2/7 - 872*i/7 + 80/7 = 0. Calculate i.
-10, 2/11
Solve 3*b**2/8 + 33*b/4 = 0 for b.
-22, 0
Factor 4*c**4 - 456*c**3 + 12532*c**2 + 26448*c + 13456.
4*(c - 58)**2*(c + 1)**2
Solve -24*y**2 - 212*y - 308 = 0.
-7, -11/6
Factor c**5/9 + 4*c**4/9 - 2*c**3 + 20*c**2/9 - 7*c/9.
c*(c - 1)**3*(c + 7)/9
Suppose v**5 - 5*v**4 + 7*v**3 + v**2 - 8*v + 4 = 0. Calculate v.
-1, 1, 2
Factor 16*m**3/3 - 890*m**2/3 - 2192*m/3 - 232.
2*(m - 58)*(m + 2)*(8*m + 3)/3
Factor t**5/6 + 7*t**4 + 20*t**3 + 59*t**2/3 + 13*t/2.
t*(t + 1)**3*(t + 39)/6
Factor -x**2/6 - 308*x - 142296.
-(x + 924)**2/6
Let -2*t**3 + 1308*t**2 = 0. What is t?
0, 654
Solve -2*b**4 - 442*b**3 - 1314*b**2 - 1310*b - 436 = 0 for b.
-218, -1
Solve 2197*q**5/4 - 167479*q**4/2 + 519714*q**3 - 227996*q**2 + 34468*q - 1752 = 0.
2/13, 6, 146
Factor j**4/4 + 3*j**3 - 27*j**2.
j**2*(j - 6)*(j + 18)/4
Factor 3*v**4/4 - 9*v**3/4 + 3*v.
3*v*(v - 2)**2*(v + 1)/4
Determine i, given that 4*i**4 - 1924*i**3 + 305208*i**2 - 15431472*i - 85030560 = 0.
-5, 162
Factor -3*d**4 - 30*d**3 + 72*d**2.
-3*d**2*(d - 2)*(d + 12)
Solve -2*c**5 - 12*c**4 + 56*c**3 + 212*c**2 - 534*c + 280 = 0.
-7, -5, 1, 4
Factor -3*z**3 + 6*z**2.
-3*z**2*(z - 2)
Factor -3*w**2/7 + 75*w/7 - 36.
-3*(w - 21)*(w - 4)/7
Let r**4/2 + 9*r**3/2 + 13*r**2/2 - 45*r/2 - 25 = 0. What is r?
-5, -1, 2
Factor 5*f**3/3 - 370*f**2/3 - 20*f/3