 -2*m**2/7 - 432*m/7 - 23328/7.
-2*(m + 108)**2/7
Find j, given that -2*j**4 - 1108*j**3/3 - 1832*j**2/3 - 364*j/3 + 122 = 0.
-183, -1, 1/3
Determine q, given that q**2 - 9*q - 10 = 0.
-1, 10
Factor 5*f**4 + 25*f**3 - 45*f**2 - 225*f.
5*f*(f - 3)*(f + 3)*(f + 5)
Solve -45*q**3 - 600*q**2 - 1265*q + 5290 = 0.
-23/3, 2
Suppose -b**5 - 16*b**4 - 61*b**3 + 50*b**2 + 224*b + 128 = 0. What is b?
-8, -1, 2
Factor 51*i**3 + 6*i**2.
3*i**2*(17*i + 2)
What is y in -16000*y**4 + 546400*y**3 - 81720*y**2 + 4082*y - 68 = 0?
1/20, 34
Determine d, given that -2*d**5/3 + 8*d**4/3 + 46*d**3/3 - 4*d**2/3 - 152*d/3 - 112/3 = 0.
-2, -1, 2, 7
Let g**2/7 + 124*g/7 + 3844/7 = 0. What is g?
-62
Find z such that 24*z**4 - 262*z**3 + 728*z**2 - 502*z + 84 = 0.
1/4, 2/3, 3, 7
Solve -7*z**4 - 26*z**3 + z**2 + 44*z - 12 = 0 for z.
-3, -2, 2/7, 1
Factor -25*c**3/2 + 5*c**2 + 25*c/2 - 5.
-5*(c - 1)*(c + 1)*(5*c - 2)/2
Determine v so that -4*v**3/9 + 1588*v**2/9 - 176*v = 0.
0, 1, 396
Factor -v**2/5 - 52*v/5 - 451/5.
-(v + 11)*(v + 41)/5
What is h in 2*h**5/5 - 34*h**4/5 + 36*h**3 - 324*h**2/5 - 54*h/5 + 486/5 = 0?
-1, 3, 9
Factor -2*u**2 + 84*u - 82.
-2*(u - 41)*(u - 1)
Determine y so that -5*y**4 - 835*y**3 - 34430*y**2 + 36960*y + 70560 = 0.
-84, -1, 2
Let f**5 - 31*f**4 + 190*f**3 + 766*f**2 + 833*f + 289 = 0. Calculate f.
-1, 17
Find m such that -2*m**3 - 28*m**2 - 120*m - 144 = 0.
-6, -2
Suppose -2*q**4/9 + 28*q**3/9 - 50*q**2/9 + 8*q/3 = 0. Calculate q.
0, 1, 12
Factor -2*i**2/7 + 150*i/7 - 432/7.
-2*(i - 72)*(i - 3)/7
Find p such that 2*p**3/13 + 16*p**2/13 + 14*p/13 = 0.
-7, -1, 0
Find v such that -2*v**3/7 + 24*v**2/7 - 58*v/7 - 12 = 0.
-1, 6, 7
Factor 2*z**4 + 4*z**3 - 22*z**2 - 24*z + 72.
2*(z - 2)**2*(z + 3)**2
Determine l so that 50*l**5/9 - 260*l**4/9 + 106*l**3/3 + 92*l**2/9 - 152*l/9 - 16/3 = 0.
-2/5, 1, 2, 3
Factor z**4/6 - 90*z**3 + 2149*z**2/6 - 447*z + 536/3.
(z - 536)*(z - 2)*(z - 1)**2/6
Find t such that t**4/3 - 52*t**3/3 + 50*t**2 - 148*t/3 + 49/3 = 0.
1, 49
Factor -71*t**2/2 - 711*t/2 - 5.
-(t + 10)*(71*t + 1)/2
Factor -2*f**2 + 292*f - 10658.
-2*(f - 73)**2
Let 3*i**3/5 + 6*i**2/5 - 9*i/5 = 0. What is i?
-3, 0, 1
Determine o, given that o**2/7 + 59*o/7 + 114/7 = 0.
-57, -2
Factor -2*x**2 + 58*x - 200.
-2*(x - 25)*(x - 4)
Factor 2*i**3/5 - 15146*i**2/5 + 5733518*i + 28682738/5.
2*(i - 3787)**2*(i + 1)/5
Solve -20*r**5 + 1840*r**4 - 42305*r**3 - 1375*r**2 + 31280*r + 10580 = 0.
-1/2, 1, 46
Let 57*t**2/2 - 294*t + 90 = 0. Calculate t.
6/19, 10
Determine b so that 4*b**3/3 + 4*b**2 - 1600*b/3 + 528 = 0.
-22, 1, 18
What is h in -h**2/3 - 422*h/3 - 280 = 0?
-420, -2
Let o**5/4 + 25*o**4/4 + 42*o**3 + 36*o**2 = 0. What is o?
-12, -1, 0
Factor 3*n**2/4 + 21*n/4 - 90.
3*(n - 8)*(n + 15)/4
Determine x, given that 5*x**3 - 150*x**2 - 155*x = 0.
-1, 0, 31
Suppose -3*h**2 + 156*h - 153 = 0. What is h?
1, 51
Solve 9*f**3/4 - 1173*f**2/4 + 38415*f/4 - 12675/4 = 0 for f.
1/3, 65
Suppose -3*z**5/2 - 8*z**4 - 103*z**3/8 - 59*z**2/8 - 5*z/8 + 3/8 = 0. What is z?
-3, -1, -1/2, 1/6
Let 4*x**5/5 - 598*x**4/5 - 908*x**3/5 + 296*x**2/5 + 904*x/5 + 302/5 = 0. What is x?
-1, -1/2, 1, 151
Suppose -4*y**4 + 12*y**3 + 184*y**2 - 192*y = 0. What is y?
-6, 0, 1, 8
Find l such that -4*l**3 - 168*l**2 - 764*l - 888 = 0.
-37, -3, -2
Solve 2*s**5/3 - 40*s**4/3 - 484*s**3/3 + 2280*s**2 + 19494*s = 0 for s.
-9, 0, 19
Let 9*y**4 + 141*y**3 + 324*y**2 + 156*y = 0. Calculate y.
-13, -2, -2/3, 0
Suppose -35*d**3/4 - 25*d**2/4 + 5*d/2 = 0. What is d?
-1, 0, 2/7
Find q such that q**4 - 180*q**3 + 179*q**2 = 0.
0, 1, 179
Factor 4*y**4 + 2400*y**3 + 11916*y**2 + 9520*y.
4*y*(y + 1)*(y + 4)*(y + 595)
Find q such that 2*q**3/7 - 8*q**2/7 - 120*q/7 + 576/7 = 0.
-8, 6
Factor -2*w**2/9 + 2204*w/9 - 607202/9.
-2*(w - 551)**2/9
Factor -2*c**3/5 + 44*c**2/5 + 94*c/5 + 48/5.
-2*(c - 24)*(c + 1)**2/5
What is i in i**4/7 - 57*i**3/7 + 582*i**2/7 + 6784*i/7 + 6144/7 = 0?
-6, -1, 32
Suppose -o**3/9 - 329*o**2/3 - 108241*o/3 - 35611289/9 = 0. Calculate o.
-329
Factor -2*c**3/25 - 4*c**2/25 + 16*c/25.
-2*c*(c - 2)*(c + 4)/25
Factor -2*l**4/11 - 188*l**3/11 - 5952*l**2/11 - 65348*l/11 - 59582/11.
-2*(l + 1)*(l + 31)**3/11
Suppose 3*j**3/5 - 9*j**2/5 + 6*j/5 = 0. What is j?
0, 1, 2
Factor 3*f**2 + 666*f + 36963.
3*(f + 111)**2
Factor f**4/2 + 7*f**3 + 18*f**2 + 17*f + 11/2.
(f + 1)**3*(f + 11)/2
Solve 2*c**5/3 + 80*c**4/3 + 1106*c**3/3 + 5900*c**2/3 + 8792*c/3 + 3920/3 = 0 for c.
-14, -10, -1
Solve -4*z**3 - 84*z**2 - 576*z - 1280 = 0.
-8, -5
Factor -3*w**4/7 + 54*w**3/7 - 45*w**2 + 84*w.
-3*w*(w - 7)**2*(w - 4)/7
Find p such that 45*p**2 - 680*p + 700 = 0.
10/9, 14
Let 6*n**4/5 + 44*n**3/5 - 46*n**2/5 - 116*n/5 - 32/5 = 0. What is n?
-8, -1, -1/3, 2
Factor 2*a**4/3 - 10*a**3/3 + 2*a**2 + 10*a/3 - 8/3.
2*(a - 4)*(a - 1)**2*(a + 1)/3
Let 2*f**5 - 60*f**4 + 394*f**3 + 184*f**2 - 1320*f + 800 = 0. What is f?
-2, 1, 10, 20
Determine o, given that 10*o**4/21 + 194*o**3/7 + 226*o**2/7 - 50*o/3 - 152/7 = 0.
-57, -1, 4/5
Factor x**4 - 75*x**3 - 3*x**2 + 227*x - 150.
(x - 75)*(x - 1)**2*(x + 2)
Factor -1445*d**3 - 4505*d**2 - 515*d - 15.
-5*(d + 3)*(17*d + 1)**2
Factor 2*u**2/9 - 56*u/9 + 104/9.
2*(u - 26)*(u - 2)/9
Let 4*z**3 - 692*z**2 + 31584*z - 141120 = 0. Calculate z.
5, 84
Factor -q**2 + 17*q + 38.
-(q - 19)*(q + 2)
Factor p**2/8 + 303*p/4 - 607/8.
(p - 1)*(p + 607)/8
Factor 2*i**4/7 + 272*i**3/7 + 7148*i**2/7 - 20400*i + 78750.
2*(i - 7)**2*(i + 75)**2/7
Factor 2*l**4/3 - 6*l**3 + 56*l**2/3 - 24*l + 32/3.
2*(l - 4)*(l - 2)**2*(l - 1)/3
Solve -3*n**5/5 - 15*n**4 + 81*n**3/5 + 15*n**2 - 78*n/5 = 0 for n.
-26, -1, 0, 1
Factor -2*j**2 + 42*j + 44.
-2*(j - 22)*(j + 1)
Factor -49*m**3/12 + 11641*m**2/12 - 1660*m/3 + 79.
-(m - 237)*(7*m - 2)**2/12
Factor -789*y**2/8 - 2373*y/8 - 9/4.
-3*(y + 3)*(263*y + 2)/8
Find b such that -2*b**4/5 + 16*b**3/5 + 52*b**2/5 - 336*b/5 - 882/5 = 0.
-3, 7
What is f in 4*f**2 + 200*f + 736 = 0?
-46, -4
Determine j, given that -5*j**5 + 35*j**4 - 90*j**3 + 110*j**2 - 65*j + 15 = 0.
1, 3
Let -k**4/4 + 73*k**3/4 + 151*k**2/4 - 73*k/4 - 75/2 = 0. Calculate k.
-2, -1, 1, 75
Factor 4*m**4/7 - 10*m**3 + 128*m**2/7 - 62*m/7.
2*m*(m - 1)**2*(2*m - 31)/7
Solve 65*f**4/2 + 43*f**3 - 111*f**2/2 - 22*f + 2 = 0.
-2, -2/5, 1/13, 1
Solve -16*y**4/3 + 2126*y**3/3 - 73574*y**2/3 + 193570*y/3 + 8450 = 0.
-1/8, 3, 65
Determine b so that 8*b**4/13 - 78*b**3 + 32506*b**2/13 - 23562*b/13 - 7938/13 = 0.
-1/4, 1, 63
Find o such that -8*o**4/11 - 262*o**3/11 + 930*o**2/11 - 216*o/11 = 0.
-36, 0, 1/4, 3
Factor -2*d**3/5 - d**2/5 + 2*d/5 + 1/5.
-(d - 1)*(d + 1)*(2*d + 1)/5
Solve -3*d**2/4 - 243*d/2 + 489/4 = 0.
-163, 1
Suppose -3*k**4 + 1235*k**3 - 126894*k**2 - 43260*k + 84872 = 0. What is k?
-1, 2/3, 206
Suppose -5*m**3/4 + 35*m**2/2 + 5*m/4 - 35/2 = 0. What is m?
-1, 1, 14
Solve 31*a**5/9 + 41*a**4/3 + 182*a**3/9 + 118*a**2/9 + 3*a - 1/9 = 0.
-1, 1/31
What is t in t**5 + t**4 - 17*t**3 - 53*t**2 - 56*t - 20 = 0?
-2, -1, 5
Factor -4*z**3/3 + 55*z**2/3 + 14*z/3.
-z*(z - 14)*(4*z + 1)/3
Factor 5*p**5 - 20*p**4 + 5*p**3 + 50*p**2 - 20*p - 40.
5*(p - 2)**3*(p + 1)**2
Let 425*m**5/4 + 30*m**4 - 107*m**3 - 61*m**2/2 + 3*m/4 + 1/2 = 0. What is m?
-1, -1/5, 2/17, 1
Determine a so that -2*a**3 - 314*a**2 - 13350*a - 78750 = 0.
-75, -7
Factor -z**2/8 - 187*z/8 - 455/4.
-(z + 5)*(z + 182)/8
Factor 81*a**3 - 1938*a**2 + 1719*a + 138.
3*(a - 23)*(a - 1)*(27*a + 2)
Let -5*a**4 - 20*a**3 + 45*a**2 + 80*a - 100 = 0. What is a?
-5, -2, 1, 2
Let 4*j**5/9 - 176*j**4/9 + 628*j**3/9 + 520*j**2/9 - 1568*j/9 - 1280/9 = 0. What is j?
-1, 2, 4, 40
Suppose u**2/4 - 17*u/2 - 195/4 = 0. Calculate u.
-5, 39
Factor 2*k**4/11 - 30*k**3/11 + 168*k**2/11 - 416*k/11 + 384/11.
2*(k - 4)**3*(k - 3)/11
Suppose -5*m**3 + 25*m**2 + 40*m - 240 = 0. Calculate m.
-3, 4
Find c, given that c**3 - 39*c**2 - 81*c - 41 = 0.
-1, 41
Factor 3*p**4/2 - 3*p**3 - 3*p**2/2 + 3*p.
3*p*(p - 2)*(p - 1)*(p + 1)/2
Solve v**4 + 7*v**3 - 5*v**2 - 75*v = 0 for v.
-5, 0, 3
What is f in 2*f**2 + 132*f = 0?
-66, 0
Suppose -g**4/6 - 5*g**3/2 - 7*g**2/6 + 89*g/2 + 130/3 = 0. What is g?
-13, -5, -1, 4
Find f such that 3*f**2 - 138*f + 1587 = 0.
23
Find d such that -d**4/3 - 16*d**3/3 + d**2 + 46*d/3 - 32/3 = 0.
-16, -2, 1
Suppose -2*f**5 - 62*f**4/5 - 30*f**3 - 178*f**2/5 -