actor 7*f**2 + 75*f - 550.
(f - 5)*(7*f + 110)
Factor -i**2/11 + 10*i/11 + 75/11.
-(i - 15)*(i + 5)/11
Determine r so that -20*r**2 - 32*r - 12 = 0.
-1, -3/5
Find y, given that 4*y**5/11 - 42*y**4/11 + 106*y**3/11 + 48*y**2/11 - 200*y/11 - 96/11 = 0.
-1, -1/2, 2, 4, 6
Factor 2*l**3/3 + 106*l**2 + 5618*l + 297754/3.
2*(l + 53)**3/3
Factor w**3 - w**2 - 4*w + 4.
(w - 2)*(w - 1)*(w + 2)
Determine j, given that 4*j**2 - 1604*j + 1600 = 0.
1, 400
Solve -4*k**3 - 361*k**2 - 90*k = 0.
-90, -1/4, 0
Suppose b**4/4 + 7*b**3/2 - 67*b**2/4 - 71*b - 51 = 0. Calculate b.
-17, -2, -1, 6
Solve 2*l**5 + 46*l**4/5 - 20*l**3 - 88*l**2/5 + 48*l/5 = 0 for l.
-6, -1, 0, 2/5, 2
Factor -11163*h**3/4 + 8235*h**2/4 + 684*h + 48.
-3*(h - 1)*(61*h + 8)**2/4
What is t in t**3/4 - 21*t/4 - 5 = 0?
-4, -1, 5
Factor 2*j**2 - 168*j - 170.
2*(j - 85)*(j + 1)
Solve 2*w**5/19 - 334*w**4/19 + 14754*w**3/19 - 67554*w**2/19 + 78732*w/19 = 0.
0, 2, 3, 81
Determine b, given that -4*b**3/3 + 7*b**2 - 5*b/3 = 0.
0, 1/4, 5
Let 5*p**4 - 35*p**2 + 30*p = 0. Calculate p.
-3, 0, 1, 2
Factor 4*b**2/9 + 8*b/3 + 4.
4*(b + 3)**2/9
Factor t**4/8 + 7*t**3/8 - 3*t**2/8 - 19*t/8 + 7/4.
(t - 1)**2*(t + 2)*(t + 7)/8
Let -18*y**5/5 + 138*y**4/5 + 674*y**3 + 10022*y**2/5 - 7824*y/5 + 1368/5 = 0. What is y?
-6, 1/3, 19
Determine i so that i**5/2 + 13*i**4/2 + 9*i**3/2 - 41*i**2/2 - 31*i - 12 = 0.
-12, -1, 2
Factor 4*a**2/3 - 1024*a/3 + 340.
4*(a - 255)*(a - 1)/3
Solve -v**3/2 - 200*v**2 - 20000*v = 0 for v.
-200, 0
Determine f so that -4*f**2 + 84*f + 1960 = 0.
-14, 35
Factor 3*x**4 + 27*x**3/2 - 39*x**2.
3*x**2*(x - 2)*(2*x + 13)/2
Factor -2*n**3/3 - 64*n**2 - 376*n/3.
-2*n*(n + 2)*(n + 94)/3
Suppose -2*c**2 - 114*c + 236 = 0. Calculate c.
-59, 2
Find u such that -294*u**3 - 8652*u**2 - 7335*u/2 - 783/2 = 0.
-29, -3/14
Factor -4*w**4 - 344*w**3.
-4*w**3*(w + 86)
Suppose m**2/7 - 9/7 = 0. What is m?
-3, 3
Factor 23*r**3 - 6*r**2.
r**2*(23*r - 6)
Factor -22*w**3/9 + 26*w**2/9 - 4*w/9.
-2*w*(w - 1)*(11*w - 2)/9
Solve t**2/6 - 15*t + 675/2 = 0.
45
Solve -45*y**5 - 60*y**4 - 5*y**3 + 10*y**2 = 0 for y.
-1, -2/3, 0, 1/3
Find a, given that 2*a**5 + 72*a**4 + 260*a**3 + 120*a**2 - 262*a - 192 = 0.
-32, -3, -1, 1
Determine y so that -y**2/7 + 894*y/7 - 199809/7 = 0.
447
Determine p, given that 6*p**3 - 5661*p**2 + 1333872*p + 668352 = 0.
-1/2, 472
Factor -9*a**4/5 + 37*a**3/5 + 8*a**2.
-a**2*(a - 5)*(9*a + 8)/5
Factor -4*y**2/7 + 240*y/7 + 496/7.
-4*(y - 62)*(y + 2)/7
Factor -2*w**2 + 68*w - 578.
-2*(w - 17)**2
Factor 10*w**5 + 94*w**4 + 352*w**3 + 656*w**2 + 608*w + 224.
2*(w + 2)**4*(5*w + 7)
Determine n, given that 2*n**5 - 36*n**4 + 120*n**3 + 400*n**2 = 0.
-2, 0, 10
Solve 3*q**2/8 + 21*q/4 + 18 = 0.
-8, -6
Suppose a**2/3 - 13*a + 126 = 0. What is a?
18, 21
Find l, given that 2*l**3 + 24*l**2 - 62*l - 84 = 0.
-14, -1, 3
Factor 3*y**4 - 6*y**3.
3*y**3*(y - 2)
Determine p so that -4*p**2/3 + 16*p/3 + 128 = 0.
-8, 12
Determine f, given that 3*f**4 + 12*f**3 - 3*f**2 - 12*f = 0.
-4, -1, 0, 1
Factor 2*z**2/13 - 28*z/13 + 48/13.
2*(z - 12)*(z - 2)/13
Factor -5*k**3/2 + 90*k**2.
-5*k**2*(k - 36)/2
Factor 2*k**2 - 2932*k + 1074578.
2*(k - 733)**2
Solve -18*l**4/13 + 30*l**3/13 + 16*l**2/13 - 32*l/13 = 0.
-1, 0, 4/3
Determine d, given that d**3 + 10*d**2 - 23*d + 12 = 0.
-12, 1
Find n such that 2*n**2/3 + 730*n/3 + 5012/3 = 0.
-358, -7
Find u, given that u**4 + 4*u**3 + 3*u**2 - 4*u - 4 = 0.
-2, -1, 1
Solve 3*j**2/5 - 12432*j/5 + 12879552/5 = 0.
2072
Factor -15*x**5 - 24*x**4 - 3*x**3 + 6*x**2.
-3*x**2*(x + 1)**2*(5*x - 2)
Factor 2*i**4 - 28*i**3 + 98*i**2.
2*i**2*(i - 7)**2
Factor 5*j**2 + 15*j - 540.
5*(j - 9)*(j + 12)
Factor 3*d**3/2 - 21*d**2 + 195*d/2 - 150.
3*(d - 5)**2*(d - 4)/2
What is r in r**2/9 - 949*r/9 + 946/3 = 0?
3, 946
Solve -2*n**5/9 - 10*n**4/9 + 2*n**3/3 + 10*n**2 + 12*n = 0 for n.
-3, -2, 0, 3
Find o such that -605*o**5 - 9790*o**4 - 1160*o**3 + 9710*o**2 + 1765*o + 80 = 0.
-16, -1, -1/11, 1
Factor o**2/3 - 2356*o/3 + 785.
(o - 2355)*(o - 1)/3
Let 3*s**3 - 495*s**2 - 498*s = 0. Calculate s.
-1, 0, 166
Solve 3*q**3/4 - 76*q**2 - 835*q/4 + 78 = 0 for q.
-3, 1/3, 104
Factor o**4 - 3*o**3 - 3*o**2 + 11*o - 6.
(o - 3)*(o - 1)**2*(o + 2)
Suppose -n**5/3 - n**4/3 + 5*n**3/3 - n**2 = 0. Calculate n.
-3, 0, 1
Factor -2*m**3 + 196*m**2 - 574*m + 380.
-2*(m - 95)*(m - 2)*(m - 1)
Let -3*m**5 - 21*m**4 - 42*m**3 - 6*m**2 + 45*m + 27 = 0. Calculate m.
-3, -1, 1
Find v, given that 648*v**4 - 15750*v**3 + 4568*v**2 + 4392*v + 576 = 0.
-2/9, 3/4, 24
Find l, given that 2*l**3/11 - 28*l**2/11 + 114*l/11 - 144/11 = 0.
3, 8
Factor 2*g**3/11 + 96*g**2/11 - 632*g/11 + 864/11.
2*(g - 4)*(g - 2)*(g + 54)/11
Factor 3*p**2 + 330*p.
3*p*(p + 110)
Let 5*x**3 + 20*x**2 - 140*x + 160 = 0. Calculate x.
-8, 2
Let 10*q**4 + 3514*q**3 + 307644*q**2 - 187264*q - 123904 = 0. Calculate q.
-176, -2/5, 1
Factor -i**4/4 + 7*i**3/4 + 13*i**2/2 - 18*i.
-i*(i - 9)*(i - 2)*(i + 4)/4
Suppose -3*y**4 - 51*y**3 - 261*y**2 - 273*y + 588 = 0. What is y?
-7, -4, 1
Determine v, given that -3*v**2 + 99*v/2 + 81 = 0.
-3/2, 18
Solve 2*r**5/5 - 4*r**4/5 - 4*r**3/5 + 8*r**2/5 + 2*r/5 - 4/5 = 0.
-1, 1, 2
Factor -100*k**4/9 - 40*k**3 - 244*k**2/9 + 16*k - 16/9.
-4*(k + 2)**2*(5*k - 1)**2/9
Factor -3*m**3 - 60*m**2 - 261*m + 324.
-3*(m - 1)*(m + 9)*(m + 12)
Solve -r**3 + 67*r**2 + 5805*r + 88209 = 0 for r.
-27, 121
Solve f**2/5 + 456*f/5 + 51984/5 = 0 for f.
-228
Determine t so that -60*t**4 - 1225*t**3 - 3350*t**2 + 2275*t - 340 = 0.
-17, -4, 1/4, 1/3
Suppose -3*z**4/4 + 831*z**3/2 - 57546*z**2 - 831*z/2 + 230187/4 = 0. Calculate z.
-1, 1, 277
Let -2*i**5 + 36*i**4 - 160*i**3 - 36*i**2 + 162*i = 0. What is i?
-1, 0, 1, 9
Factor -2*j**3/5 + 76*j**2/5 + 158*j/5 + 16.
-2*(j - 40)*(j + 1)**2/5
Factor 6*m**3 - 124*m**2/5 + 136*m/5 - 16/5.
2*(m - 2)**2*(15*m - 2)/5
Factor 2*a**2/3 + 94*a - 1460/3.
2*(a - 5)*(a + 146)/3
Determine b, given that -2*b**4 - 2*b**3 + 4*b**2 = 0.
-2, 0, 1
Factor 5*z**2 - 15*z + 10.
5*(z - 2)*(z - 1)
Factor 2*s**3/7 - 22*s**2/7 + 72*s/7 - 72/7.
2*(s - 6)*(s - 3)*(s - 2)/7
Factor -4*v**4 + 52*v**3 - 216*v**2 + 368*v - 224.
-4*(v - 7)*(v - 2)**3
Solve 5*k**5 + 1415*k**4 + 100815*k**3 + 99405*k**2 = 0 for k.
-141, -1, 0
Let 2*g**5/11 + 140*g**4/11 + 1968*g**3/11 - 6764*g**2/11 + 7054*g/11 - 2400/11 = 0. Calculate g.
-48, -25, 1
Factor j**3/2 - 7*j**2 - 15*j/2.
j*(j - 15)*(j + 1)/2
Find f, given that 3*f**2 + 228*f - 231 = 0.
-77, 1
Let -2*l**5/5 - 32*l**4/5 + 8*l**3 + 20*l**2 - 38*l/5 - 68/5 = 0. Calculate l.
-17, -1, 1, 2
Let z**2/4 + 193*z/4 = 0. Calculate z.
-193, 0
Suppose 2*s**2/7 - 276*s/7 + 544/7 = 0. What is s?
2, 136
Factor 3*c**4 + 18*c**3 - 156*c**2 + 126*c + 297.
3*(c - 3)**2*(c + 1)*(c + 11)
Determine x, given that -3*x**2 + 882*x - 64827 = 0.
147
Determine r so that -9*r**4/4 + 84*r**3 - 375*r**2/2 + 132*r - 105/4 = 0.
1/3, 1, 35
Factor -3*n**4 + 1101*n**3 - 3285*n**2 + 3279*n - 1092.
-3*(n - 364)*(n - 1)**3
Let -16*n**5 - 224*n**4 - 196*n**3 + 172*n**2 + 212*n + 52 = 0. Calculate n.
-13, -1, -1/2, 1
Factor -2*x**2 + 76*x - 272.
-2*(x - 34)*(x - 4)
Factor -3*p**2 - 27*p + 66.
-3*(p - 2)*(p + 11)
Suppose -4*i**4/5 - 64*i**3 - 1532*i**2/5 - 2416*i/5 - 240 = 0. Calculate i.
-75, -2, -1
Find x such that 21*x**4 + 48*x**3 - 513*x**2 - 1200*x - 300 = 0.
-5, -2, -2/7, 5
Factor j**3/3 - 91*j**2/3 + 352*j/3 - 116.
(j - 87)*(j - 2)**2/3
Let -3*i**5 - 36*i**4 - 15*i**3 + 534*i**2 - 864*i + 384 = 0. Calculate i.
-8, 1, 2
Factor 5*o**5 + 50*o**4 + 180*o**3 + 290*o**2 + 215*o + 60.
5*(o + 1)**3*(o + 3)*(o + 4)
Factor 3*a**4 - 93*a**3 + 765*a**2 - 2175*a + 1500.
3*(a - 20)*(a - 5)**2*(a - 1)
Let -5*p**5 + 175*p**4 - 2150*p**3 + 10450*p**2 - 15125*p + 6655 = 0. Calculate p.
1, 11
Factor -5*o**2 + 6040*o - 1824080.
-5*(o - 604)**2
Suppose -3*o**5 + 48*o**4 - 282*o**3 + 720*o**2 - 675*o = 0. Calculate o.
0, 3, 5
Determine s, given that 2*s**5/9 + 8*s**4/9 + 2*s**3/3 - 8*s**2/9 - 8*s/9 = 0.
-2, -1, 0, 1
Solve -8*r**3/9 - 44*r**2/9 + 4*r/9 + 40/3 = 0.
-5, -2, 3/2
Factor 4*y**4 + 12*y**3 - 348*y**2 - 716*y - 360.
4*(y - 9)*(y + 1)**2*(y + 10)
Factor -2*b**2/11 - 3956*b/11 - 1956242/11.
-2*(b + 989)**2/11
Solve -4*d**4 + 16*d**3 - 4*d**2 - 24*d = 0 for d.
-1, 0, 2, 3
Solve 2*r**3 - 24*r**2 + 58*r - 36 = 0 for r.
1, 2, 9
Factor 4*b**3 + 248*b