so that -2*q**5/7 + 74*q**4/7 - 138*q**3/7 - 74*q**2/7 + 20*q = 0.
-1, 0, 1, 2, 35
Factor -2*l**3/7 + 1308*l**2/7 - 213858*l/7.
-2*l*(l - 327)**2/7
Solve -n**2 - 164*n - 640 = 0 for n.
-160, -4
Determine r so that 2*r**5 - 8*r**4 + 6*r**3 + 8*r**2 - 8*r = 0.
-1, 0, 1, 2
Factor -3*a**4 + 5280*a**3 - 3484800*a**2 + 1022208000*a - 112442880000.
-3*(a - 440)**4
Factor 6*o**3/5 - 26*o**2 - 278*o/5 - 142/5.
2*(o + 1)**2*(3*o - 71)/5
Factor -m**2/5 - 14*m/5.
-m*(m + 14)/5
Suppose -2*y**4/7 - 71*y**3/7 + 113*y**2/7 + 71*y/7 - 111/7 = 0. What is y?
-37, -1, 1, 3/2
Factor 3*u**2 + 84*u + 81.
3*(u + 1)*(u + 27)
Factor -v**2/7 - 13*v/7 - 22/7.
-(v + 2)*(v + 11)/7
Find a, given that 20*a**2 - 192*a - 80 = 0.
-2/5, 10
What is w in 14*w**2/9 + 9580*w/9 + 304 = 0?
-684, -2/7
Factor -2*f**3/3 + 26*f - 140/3.
-2*(f - 5)*(f - 2)*(f + 7)/3
Solve 5*x**2 + 5*x - 150 = 0 for x.
-6, 5
Factor 3*a**3/2 - 9*a**2 - 21*a/2.
3*a*(a - 7)*(a + 1)/2
Find k such that -6*k**5 - 94*k**4/3 - 182*k**3/3 - 54*k**2 - 64*k/3 - 8/3 = 0.
-2, -1, -2/9
Determine w so that 212*w**3 + 12*w**2 - 212*w - 12 = 0.
-1, -3/53, 1
Let 5*g**4/3 - 83*g**3/6 + 30*g**2 - 8*g/3 - 32/3 = 0. Calculate g.
-1/2, 4/5, 4
Factor -315*s**3 - 785*s**2 + 460*s - 60.
-5*(s + 3)*(7*s - 2)*(9*s - 2)
Let 48*h**4/7 + 1704*h**3/7 - 123*h**2 + 108*h/7 = 0. Calculate h.
-36, 0, 1/4
Factor 4*n**5 - 4*n**4 - 4*n**3 + 4*n**2.
4*n**2*(n - 1)**2*(n + 1)
Solve 2*i**3/3 + 32*i**2/3 + 10*i = 0.
-15, -1, 0
Factor 4*u**4 + 272*u**3 + 3736*u**2 - 30192*u + 49284.
4*(u - 3)**2*(u + 37)**2
Factor 2*m**2 + 208*m + 5408.
2*(m + 52)**2
Suppose 3*g**3 + 30*g**2 - 81*g - 108 = 0. What is g?
-12, -1, 3
Factor -2*t**5 - 86*t**4 - 1152*t**3 - 4536*t**2.
-2*t**2*(t + 7)*(t + 18)**2
Determine f so that f**4 - 2*f**3 - 108*f**2 - 430*f - 325 = 0.
-5, -1, 13
Find r such that 77*r**4/3 - 76*r**3/3 - 21*r**2 + 46*r/3 + 16/3 = 0.
-8/11, -2/7, 1
Factor -y**4 - 11*y**3 - 33*y**2 - 37*y - 14.
-(y + 1)**2*(y + 2)*(y + 7)
Find p such that -4*p**2/3 + 10*p/3 - 2 = 0.
1, 3/2
Factor 2*r**4/21 - 24*r**3/7 - 162*r**2/7 - 36*r.
2*r*(r - 42)*(r + 3)**2/21
Factor 3*i**2 - 90*i + 672.
3*(i - 16)*(i - 14)
Factor -4*p**4 + 56*p**3 - 28*p**2 - 312*p.
-4*p*(p - 13)*(p - 3)*(p + 2)
Solve -c**5/2 + 9*c**4/2 + 155*c**3/2 + 135*c**2/2 - 77*c - 72 = 0 for c.
-8, -1, 1, 18
What is j in -15*j**3 + 25*j**2 + 20*j - 20 = 0?
-1, 2/3, 2
Factor -p**3/3 - 24*p**2.
-p**2*(p + 72)/3
Find j such that 3*j**4/5 - 12*j**3/5 - 63*j**2/5 - 12*j/5 + 84/5 = 0.
-2, 1, 7
Factor 21*h**4 + 477*h**3 + 324*h**2 - 132*h.
3*h*(h + 1)*(h + 22)*(7*h - 2)
Suppose 5*k**3/2 + 72*k**2 - 33*k/2 - 58 = 0. What is k?
-29, -4/5, 1
Find f, given that -18*f**2 - 60*f - 50 = 0.
-5/3
What is t in -t**5/5 + 7*t**3/5 - 2*t**2/5 - 12*t/5 + 8/5 = 0?
-2, 1, 2
Solve 2*k**5/7 + 10*k**4 + 416*k**3/7 - 3368*k**2/7 + 6080*k/7 - 3200/7 = 0 for k.
-20, 1, 2
Factor 4*u**2 + 72*u + 308.
4*(u + 7)*(u + 11)
What is p in 4*p**3 - 1204*p**2 - 17444*p - 61740 = 0?
-7, 315
Factor -s**2/3 + 74*s/3 - 73/3.
-(s - 73)*(s - 1)/3
Determine c, given that -2*c**2/5 + 60*c - 2250 = 0.
75
What is n in 3*n**4 - 42*n**3 + 180*n**2 - 216*n = 0?
0, 2, 6
Find i such that -2*i**2/7 + 184*i/7 - 26 = 0.
1, 91
What is i in 4*i**2/7 - 860*i/7 - 248 = 0?
-2, 217
Factor -3*i**2 - 288*i + 891.
-3*(i - 3)*(i + 99)
Find u such that -2*u**5 - 278*u**4/3 - 1340*u**3/3 - 1100*u**2/3 + 662*u + 246 = 0.
-41, -3, -1/3, 1
Factor 5*v**4 - 80*v**3 + 65*v**2 + 150*v.
5*v*(v - 15)*(v - 2)*(v + 1)
Solve 5*p**3/3 + 55*p**2/3 + 175*p/3 + 125/3 = 0 for p.
-5, -1
Let 2*g**4 + 68*g**3 + 698*g**2 + 2040*g + 1800 = 0. What is g?
-15, -2
Determine w so that w**4 + 3*w**3 - 7*w**2 - 27*w - 18 = 0.
-3, -2, -1, 3
Let -9*h**5 + 39*h**4 - 39*h**3 + 9*h**2 = 0. Calculate h.
0, 1/3, 1, 3
Suppose -j**5 - 3*j**4 + 4*j**2 = 0. What is j?
-2, 0, 1
Factor -2*b**2 - 766*b.
-2*b*(b + 383)
Find r, given that -r**4/8 - 9*r**3/8 + 57*r**2/8 + 65*r/8 = 0.
-13, -1, 0, 5
Let -n**2 - 220*n - 12100 = 0. Calculate n.
-110
Factor 3*q**3/2 + 2034*q**2 + 919368*q + 138518112.
3*(q + 452)**3/2
Determine p so that 34*p**2/5 + 652*p/5 + 114/5 = 0.
-19, -3/17
Let -389*m**3/9 + 1558*m**2/9 - 1564*m/9 + 8/9 = 0. Calculate m.
2/389, 2
Suppose -3*z**5/4 - 45*z**4/4 + 153*z**3/4 - 159*z**2/4 + 27*z/2 = 0. Calculate z.
-18, 0, 1
Solve 5*x**2/3 + 85*x/3 = 0 for x.
-17, 0
What is p in -2*p**2/3 + 1132*p - 480534 = 0?
849
Determine s so that -47*s**2 - 165*s/4 - 9/2 = 0.
-3/4, -6/47
Factor 2*h**4 - 16*h**3 + 24*h**2.
2*h**2*(h - 6)*(h - 2)
Solve -4*b**4 + 72*b**3 - 132*b**2 + 64*b = 0 for b.
0, 1, 16
Determine q, given that -4*q**2 - 60*q - 104 = 0.
-13, -2
Factor 6*c**4 + 52*c**3 + 158*c**2 + 192*c + 72.
2*(c + 2)*(c + 3)**2*(3*c + 2)
Factor 4*a**2/7 + 4*a + 24/7.
4*(a + 1)*(a + 6)/7
Find k, given that -5*k**2 + 5*k + 10 = 0.
-1, 2
Solve -5*u**4 - 16*u**3 - 3*u**2 + 20*u + 4 = 0 for u.
-2, -1/5, 1
Determine y so that -2*y**3/7 - 4*y**2 + 30*y/7 = 0.
-15, 0, 1
Solve 5*z**2 - 155*z - 900 = 0 for z.
-5, 36
What is s in 3*s**3/2 - 138*s**2 + 267*s/2 + 273 = 0?
-1, 2, 91
Factor 10*w**4 + 115*w**3 + 155*w**2 + 50*w.
5*w*(w + 1)*(w + 10)*(2*w + 1)
Factor -3*o**4/7 - 6*o**3/7 + 3*o**2 - 12*o/7.
-3*o*(o - 1)**2*(o + 4)/7
Factor 5*w**4 - 1415*w**3 + 1410*w**2.
5*w**2*(w - 282)*(w - 1)
Determine n so that -2*n**3/3 + 68*n**2/3 - 728*n/3 + 784 = 0.
6, 14
Determine b, given that 2*b**3 + 8*b**2 - 2*b - 8 = 0.
-4, -1, 1
Factor 3*d**2 + 930*d.
3*d*(d + 310)
Let -2*s**4/5 + 4*s**3/5 + 14*s**2/5 - 16*s/5 - 24/5 = 0. Calculate s.
-2, -1, 2, 3
Determine q so that 2*q**2/13 - 220*q/13 + 218/13 = 0.
1, 109
Determine x, given that x**3/4 - x**2 = 0.
0, 4
Factor 4*l**2 - 168*l + 1764.
4*(l - 21)**2
Factor -2*m**2/7 + 26*m/7.
-2*m*(m - 13)/7
Suppose 2*h**4 - 24*h**3 + 70*h**2 + 24*h - 72 = 0. What is h?
-1, 1, 6
Factor b**5 + 17*b**4 + 58*b**3 + 82*b**2 + 53*b + 13.
(b + 1)**4*(b + 13)
Factor -2*o**5/5 + 2*o**4/5 + 4*o**3/5.
-2*o**3*(o - 2)*(o + 1)/5
Factor -2*l**5/7 + 32*l**4/7 + 4*l**3/7 - 1056*l**2/7 - 2178*l/7.
-2*l*(l - 11)**2*(l + 3)**2/7
Suppose -3*z**3 - 72*z**2 + 81*z + 150 = 0. What is z?
-25, -1, 2
Factor 5*c**2 + 35*c.
5*c*(c + 7)
What is q in 2*q**3 + 432*q**2 + 1704*q + 1696 = 0?
-212, -2
Suppose -405*c**5 - 7875*c**4 + 32200*c**3 - 21800*c**2 - 14800*c - 1840 = 0. Calculate c.
-23, -2/9, 2
Determine u so that -2*u**3/5 + 336*u**2/5 - 14112*u/5 = 0.
0, 84
Determine j, given that 9*j**5 + 21*j**4 - 27*j**3 - 21*j**2 + 18*j = 0.
-3, -1, 0, 2/3, 1
Solve -2*h**4/5 + 6*h**3/5 + 4*h**2/5 - 24*h/5 + 16/5 = 0.
-2, 1, 2
Factor h**5 - 114*h**4 + 224*h**3.
h**3*(h - 112)*(h - 2)
Factor y**2/2 + 174*y - 350.
(y - 2)*(y + 350)/2
Factor -n**2 + 395*n.
-n*(n - 395)
Factor -50*a**5 - 1640*a**4 - 14088*a**3 - 10496*a**2 - 2048*a.
-2*a*(a + 16)**2*(5*a + 2)**2
Solve w**5/5 + 2*w**4/5 - 2*w**2/5 - w/5 = 0.
-1, 0, 1
Find k such that 2*k**2 - 500*k + 1482 = 0.
3, 247
Find m, given that m**4/3 + 9*m**3 - 472*m**2/3 + 628*m - 480 = 0.
-40, 1, 6
Factor 4*l**4 + 118*l**3 - 184*l**2 + 62*l.
2*l*(l - 1)*(l + 31)*(2*l - 1)
Determine g, given that g**3/4 - 633*g**2/4 + 133563*g/4 - 9393931/4 = 0.
211
Suppose -245*d**5 + 245*d**4 + 20*d**3 - 20*d**2 = 0. Calculate d.
-2/7, 0, 2/7, 1
Determine y, given that y**2 + 3509*y/3 + 2338/3 = 0.
-1169, -2/3
Solve -2*o**3/7 + 964*o**2/7 - 1920*o/7 = 0.
0, 2, 480
Factor -3*m**2/2 + 1071*m/2 - 2640.
-3*(m - 352)*(m - 5)/2
Solve -4*y**5/5 + 32*y**4/5 + 24*y**3/5 - 32*y**2 - 244*y/5 - 96/5 = 0.
-1, 3, 8
What is j in 15*j**5 + 129*j**4 + 387*j**3 + 519*j**2 + 318*j + 72 = 0?
-4, -2, -1, -3/5
Suppose 2*y**5/5 + 4*y**4 + 42*y**3/5 - 8*y**2/5 - 56*y/5 = 0. Calculate y.
-7, -2, 0, 1
Factor -4*h**3 - 80*h**2 + 1932*h + 38808.
-4*(h - 22)*(h + 21)**2
Find j such that -2*j**4 + 20*j**3 - 42*j**2 - 8*j + 56 = 0.
-1, 2, 7
Determine f, given that -f**2 + 112*f - 3136 = 0.
56
Suppose -l**5 + 5*l**4 + 7*l**3 - 5*l**2 - 6*l = 0. What is l?
-1, 0, 1, 6
Determine h so that -6*h**5/7 - 132*h**4/7 + 12*h**3/7 + 264*h**2/7 - 6*h/7 - 132/7 = 0.
-22, -1, 1
Factor -159*z**3/7 + 312*z**2/7 - 21*z - 6/7.
-3*(z - 1)**2*(53*z + 2)/7
Factor 12*h**4 + 1092*h**3 + 24291*h**2 - 25116*h + 6348.
3*(h + 46)**2*(2*h - 1)**2
Factor 5*x**4 + 37*x**3 - 71*x**2 + 11*x + 18.
(x - 1)**2*(x + 9)*(5*x + 2)
Determine f, given that -5*f**5/4 + 101*f**4