actor v**3 + 134*v**2 + 4620*v + 8712.
(v + 2)*(v + 66)**2
Let 4*t**4 - 2200*t**3 - 12*t**2 + 6592*t + 4400 = 0. What is t?
-1, 2, 550
Solve -5*m**5 - 15*m**4 + 70*m**3 + 90*m**2 - 65*m - 75 = 0.
-5, -1, 1, 3
What is f in 4*f**2/5 - 48*f - 244/5 = 0?
-1, 61
Factor -20*a**3 - 2628*a**2 - 8728*a - 3072.
-4*(a + 3)*(a + 128)*(5*a + 2)
Let 3*k**3 - 36*k**2 - 3*k + 36 = 0. Calculate k.
-1, 1, 12
Suppose -6*o**5/7 + 3*o**4 + 645*o**3/7 - 345*o**2/7 - 639*o/7 + 324/7 = 0. Calculate o.
-9, -1, 1/2, 1, 12
Factor -h**2 - 16*h - 60.
-(h + 6)*(h + 10)
Solve -4*u**3/5 - 144*u**2/5 - 116*u/5 + 168 = 0.
-35, -3, 2
Determine k so that 38*k**2 - 75*k - 2 = 0.
-1/38, 2
Suppose 4*c**2/7 - 1872*c/7 + 219024/7 = 0. Calculate c.
234
Determine b, given that 2*b**4/7 - 160*b**3/7 + 312*b**2/7 = 0.
0, 2, 78
Let -2*p**2/19 + 204*p/19 - 5202/19 = 0. What is p?
51
Factor -3*v**3 + 2250*v**2 - 421875*v.
-3*v*(v - 375)**2
Let 5*l**3 + 340*l**2 + 1905*l + 2790 = 0. What is l?
-62, -3
Factor -o**4/3 - o**3/3 + 26*o**2/3 - 8*o.
-o*(o - 4)*(o - 1)*(o + 6)/3
Solve 2*o**4 + 8*o**3 - 102*o**2 + 180*o = 0.
-10, 0, 3
Factor 4*h**3 - 64*h**2 + 236*h - 176.
4*(h - 11)*(h - 4)*(h - 1)
Factor 25*d**4 - 230*d**3 + 720*d**2 - 810*d + 135.
5*(d - 3)**3*(5*d - 1)
Let 28*g**4 - 512*g**3 + 564*g**2 + 832*g - 272 = 0. What is g?
-1, 2/7, 2, 17
Factor 4*l**4 + 164*l**3 + 2340*l**2 + 12844*l + 17576.
4*(l + 2)*(l + 13)**3
Factor -15*q**3 - 4*q**2 + 60*q + 16.
-(q - 2)*(q + 2)*(15*q + 4)
Solve -10*a**5/3 + 1564*a**4/3 - 63004*a**3/3 + 145072*a**2/3 - 107338*a/3 + 23716/3 = 0.
2/5, 1, 77
Determine f, given that 2*f**4/9 - 224*f**3/9 - 458*f**2/9 + 224*f/9 + 152/3 = 0.
-2, -1, 1, 114
Factor d**2/2 - 312*d - 626.
(d - 626)*(d + 2)/2
Determine m so that -2*m**3/15 - 4*m**2 - 38*m/5 - 56/15 = 0.
-28, -1
Determine k, given that -k**5 - 67*k**4 - 1435*k**3 - 10609*k**2 - 28840*k - 19600 = 0.
-28, -5, -1
Determine z, given that z**4 - 37*z**3 + 104*z**2 - 68*z = 0.
0, 1, 2, 34
Factor 5*o**5 + 80*o**4 + 465*o**3 + 1150*o**2 + 1000*o.
5*o*(o + 2)*(o + 4)*(o + 5)**2
Suppose -3*v**4/4 - 123*v**3 + 507*v**2/4 + 492*v - 495 = 0. What is v?
-165, -2, 1, 2
Factor -3*r**4 + 156*r**3.
-3*r**3*(r - 52)
Suppose i**5/5 - i**4/5 - 2*i**3/5 + 2*i**2/5 + i/5 - 1/5 = 0. What is i?
-1, 1
Let 4*w**2 + 1320*w + 1316 = 0. What is w?
-329, -1
Factor 4*g**2 + 152*g + 148.
4*(g + 1)*(g + 37)
Determine i, given that -2*i**2/15 + 206*i/15 - 1368/5 = 0.
27, 76
Solve 2*t**4/17 + 14*t**3/17 - 42*t**2/17 - 54*t/17 = 0 for t.
-9, -1, 0, 3
Let -28*w**3/3 + 70099*w**2/3 - 37547*w/3 + 5006/3 = 0. What is w?
1/4, 2/7, 2503
Determine z, given that -5*z**5 + 120*z**3 - 320*z**2 + 240*z = 0.
-6, 0, 2
Factor -2*b**2 + 40*b + 42.
-2*(b - 21)*(b + 1)
What is k in -3*k**5/7 - 246*k**4/7 - 1605*k**3/7 - 2250*k**2/7 = 0?
-75, -5, -2, 0
Suppose a**4/2 - 37*a**3 + 108*a**2 - 107*a + 71/2 = 0. What is a?
1, 71
Factor 53144100*l**4 + 53931420*l**3 + 791208*l**2 + 19472*l/5 + 32/5.
4*(l + 1)*(405*l + 2)**3/5
Factor -3*f**2 + 48*f - 45.
-3*(f - 15)*(f - 1)
Find h, given that -2*h**5/11 + 20*h**4/11 - 68*h**3/11 + 104*h**2/11 - 74*h/11 + 20/11 = 0.
1, 2, 5
Find x such that x**3/3 - 419*x**2/6 - 211*x/6 + 35 = 0.
-1, 1/2, 210
Factor d**2/6 - 11*d/2 + 16/3.
(d - 32)*(d - 1)/6
Factor 4*r**4 - 264*r**3 + 228*r**2 + 2128*r - 3120.
4*(r - 65)*(r - 2)**2*(r + 3)
Solve -2*l**3/11 - 1185*l**2/11 + 2*l/11 + 1185/11 = 0.
-1185/2, -1, 1
Factor 2*p**3/3 + 80*p**2 - 1032*p + 3168.
2*(p - 6)**2*(p + 132)/3
Determine k, given that 2*k**2/7 - 2*k - 396/7 = 0.
-11, 18
Factor -8*q**3 + 14*q**2 + 68*q + 16.
-2*(q - 4)*(q + 2)*(4*q + 1)
Factor -3*u**3 - 605*u**2 + 2432*u/3 - 812/3.
-(u + 203)*(3*u - 2)**2/3
Determine m, given that 26*m**3/5 - 32*m**2 - 158*m/5 + 28/5 = 0.
-1, 2/13, 7
Factor -5*c**5 + 5*c**4 + 25*c**3 + 15*c**2.
-5*c**2*(c - 3)*(c + 1)**2
Find l, given that l**3/2 - 119*l**2/4 + 29*l/2 + 59/4 = 0.
-1/2, 1, 59
Suppose 6*h**3/11 - 5268*h**2/11 - 6*h/11 + 5268/11 = 0. What is h?
-1, 1, 878
Let f**5/2 - 23*f**4 - 97*f**3/2 + 23*f**2 + 48*f = 0. What is f?
-2, -1, 0, 1, 48
Factor z**5/6 - z**4/6 - z**3/2 + 5*z**2/6 - z/3.
z*(z - 1)**3*(z + 2)/6
Find y such that -36*y**3 + 1164*y**2 + 788*y + 132 = 0.
-1/3, 33
Find x such that 4*x**3 - 2184*x**2 + 397488*x - 24114272 = 0.
182
Determine s so that -18*s**3/11 - 102*s**2/11 + 756*s/11 - 240/11 = 0.
-10, 1/3, 4
Factor 2*t**5/3 - 2*t**4/3 - 10*t**3/3 - 2*t**2.
2*t**2*(t - 3)*(t + 1)**2/3
Let -x**5/5 + 13*x**4 - 1078*x**3/5 + 190*x**2 + 1079*x/5 - 203 = 0. Calculate x.
-1, 1, 29, 35
Factor -2*a**3 + 246*a**2 - 484*a.
-2*a*(a - 121)*(a - 2)
Factor w**4/2 - 13*w**3/2 + 33*w**2/2 - 31*w/2 + 5.
(w - 10)*(w - 1)**3/2
Find w such that -7*w**5/5 - 1678*w**4/5 - 30144*w**3 - 1200960*w**2 - 17798400*w + 5184000 = 0.
-60, 2/7
Factor -2*r**2/7 - 52*r/7 + 54/7.
-2*(r - 1)*(r + 27)/7
Solve -17*r**3/4 + 25*r**2 - 73*r/4 - 5/2 = 0 for r.
-2/17, 1, 5
Determine k so that 76*k**3 + 1212*k**2/5 + 184*k/5 - 96/5 = 0.
-3, -2/5, 4/19
Suppose 3*k**3 - 90*k**2 + 387*k - 300 = 0. What is k?
1, 4, 25
Let -4*q**4/5 - 16*q**3/5 + 108*q**2/5 + 216*q/5 - 864/5 = 0. What is q?
-6, -4, 3
Find a, given that -17*a**5 + 818*a**4 - 9038*a**3 - 19348*a**2 - 8225*a + 1250 = 0.
-1, 2/17, 25
Find n, given that 4*n**3 - 2*n**2/3 - 8*n/3 - 2/3 = 0.
-1/2, -1/3, 1
What is q in -3*q**4/5 - 12*q**3 - 234*q**2/5 + 132*q - 363/5 = 0?
-11, 1
Factor 4*r**4 + 16*r**3 + 4*r**2 - 24*r.
4*r*(r - 1)*(r + 2)*(r + 3)
Factor 4*h**2 - 768*h + 36864.
4*(h - 96)**2
Find l such that l**5 - 161*l**4 + 6558*l**3 - 6080*l**2 - 12800*l = 0.
-1, 0, 2, 80
Suppose 3*h**4 - 105*h**3 + 1224*h**2 - 4752*h = 0. What is h?
0, 11, 12
Solve -2*q**5 + 8*q**4 + 6*q**3 - 20*q**2 - 16*q = 0.
-1, 0, 2, 4
Find r, given that r**4/2 - 627*r**3 + 393129*r**2/2 = 0.
0, 627
Let -3*o**4 + 404*o**3 - 666*o**2 + 132*o + 133 = 0. Calculate o.
-1/3, 1, 133
Determine l so that 2*l**2/7 + 200*l/7 + 5000/7 = 0.
-50
Solve -3*r**5 - 9*r**4 + 12*r**3 = 0 for r.
-4, 0, 1
What is k in 5*k**4/2 - 165*k**3 + 6265*k**2/2 - 12450*k - 15750 = 0?
-1, 7, 30
Solve 4*n**5 - 16*n**4 - 8*n**3 + 48*n**2 + 36*n = 0.
-1, 0, 3
Solve 12*o**4 - 8*o**3 - 32*o**2 + 8*o + 20 = 0 for o.
-1, 1, 5/3
Let -2*y**3/3 - 2*y**2/9 + 2*y/3 + 2/9 = 0. What is y?
-1, -1/3, 1
Suppose x**3/4 - 33*x**2/2 - 34*x = 0. What is x?
-2, 0, 68
Solve -3*c**2/5 + 28*c/5 - 49/5 = 0.
7/3, 7
Factor -k**2 - 48*k + 49.
-(k - 1)*(k + 49)
Let 225*h**3 + 2255*h**2 + 5675*h + 125 = 0. What is h?
-5, -1/45
Factor -4*q**2 - 3236*q + 3240.
-4*(q - 1)*(q + 810)
Determine j so that 4*j**3 + 2972*j**2 + 550560*j - 553536 = 0.
-372, 1
Factor -t**3 - 70*t**2 - 1152*t + 2592.
-(t - 2)*(t + 36)**2
Factor 8*d**3/3 - 359*d**2/3 + 307*d/3 + 44/3.
(d - 44)*(d - 1)*(8*d + 1)/3
Factor -n**5/4 - n**4 - n**3 + n**2/2 + 5*n/4 + 1/2.
-(n - 1)*(n + 1)**3*(n + 2)/4
Find o, given that 6*o**2/5 - 84*o/5 - 1056/5 = 0.
-8, 22
Let -a**2/4 - 28*a - 784 = 0. Calculate a.
-56
Let -79*p**5/6 + p**4/3 + 79*p**3/6 - p**2/3 = 0. What is p?
-1, 0, 2/79, 1
Suppose 5*u**2 - 140*u + 375 = 0. Calculate u.
3, 25
Factor -t**3 + 150*t**2 - 6732*t + 78408.
-(t - 66)**2*(t - 18)
Solve 15*b**3 - 130*b**2 + 320*b - 160 = 0.
2/3, 4
Determine i so that -146*i**2/7 + 138*i/7 + 8/7 = 0.
-4/73, 1
Factor -k**3/6 - 4*k**2 + 17*k/2 - 13/3.
-(k - 1)**2*(k + 26)/6
Factor 8*i**4/5 - 14*i**3/5 - 4*i**2/5.
2*i**2*(i - 2)*(4*i + 1)/5
Determine z so that 177*z**3/4 - 3*z**2/4 = 0.
0, 1/59
Solve -i**4/5 - 66*i**3/5 + 56*i**2 = 0.
-70, 0, 4
Factor 2*d**3/3 + 26*d**2/3 + 20*d/3 - 16.
2*(d - 1)*(d + 2)*(d + 12)/3
Determine r so that -2*r**4/11 - 142*r**3/11 - 400*r**2/11 + 568*r/11 + 1632/11 = 0.
-68, -3, -2, 2
Let 3*b**4 - 363*b**3 + 1071*b**2 - 1065*b + 354 = 0. What is b?
1, 118
Suppose -9*q**5/4 + 21*q**4 - 21*q**3 - 453*q**2/2 + 1485*q/4 + 675/2 = 0. What is q?
-3, -2/3, 3, 5
Factor 2*v**2 - 3646*v.
2*v*(v - 1823)
Factor -2*m**2 - 360*m - 16200.
-2*(m + 90)**2
Factor -1671*m**2 - 1674*m - 3.
-3*(m + 1)*(557*m + 1)
Solve -32*t**2 + 4912*t - 188498 = 0.
307/4
Suppose n**2/7 + 270*n/7 + 18225/7 = 0. Calculate n.
-135
Solve 3*t**2/7 + 354*t/7 + 10443/7 = 0 for t.
-59
Factor -3*k**3 - 81*k**2 - 357*k + 1881.
-3*(k - 3)*(k + 11)*(k + 19)
Factor -2*z**4 - 224*z**3 - 6044*z**2 + 12768*z - 6498.
-2*(z - 1)**2*(z + 57)**2
Factor -3*c*