at -2*m**4/15 - 4*m**3 + 2*m**2/5 + 184*m/15 + 8 = 0.
-30, -1, 2
Determine a so that 3*a**5/4 + 7*a**4/2 + 13*a**3/2 + 6*a**2 + 11*a/4 + 1/2 = 0.
-1, -2/3
Determine y, given that -y**3 + 215*y**2 + y - 215 = 0.
-1, 1, 215
Find w such that -2*w**2/5 + 32*w/5 - 78/5 = 0.
3, 13
Let -x**4/3 + 13*x**3/3 - 14*x**2 = 0. Calculate x.
0, 6, 7
Find c, given that 5*c**3 - 2495*c**2 + 310000*c + 312500 = 0.
-1, 250
Factor 2*b**2 - 368*b + 16928.
2*(b - 92)**2
Determine a, given that 2*a**4/11 - 38*a**3/11 + 8*a**2 + 152*a/11 - 384/11 = 0.
-2, 2, 3, 16
Determine l, given that -4*l**4/5 + 258*l**3/5 + 1218*l**2/5 + 1648*l/5 + 552/5 = 0.
-2, -1/2, 69
Determine n so that 7*n**3 + 33*n**2 + 32*n - 12 = 0.
-3, -2, 2/7
Factor 3*y**4 - 21*y**3 + 42*y**2 - 24*y.
3*y*(y - 4)*(y - 2)*(y - 1)
Solve g**2/5 + 2737*g/5 = 0 for g.
-2737, 0
Determine n, given that -9*n**4 - 129*n**3 + 110*n**2 + 308*n + 120 = 0.
-15, -2/3, 2
Suppose 338*i**3/9 + 104*i**2/9 + 8*i/9 = 0. Calculate i.
-2/13, 0
Let 2*x**2/7 - 188*x/7 + 368/7 = 0. Calculate x.
2, 92
Find q such that 3*q**5/4 + 3*q**4 - 9*q**3/4 - 21*q**2/2 - 6*q = 0.
-4, -1, 0, 2
Suppose -4*h**3/9 + 314*h**2/9 - 764*h/9 + 304/9 = 0. What is h?
1/2, 2, 76
Solve 63*o**4 - 663*o**3 + 1674*o**2 - 840*o = 0 for o.
0, 2/3, 20/7, 7
Let 4*w**4 + 408*w**3 - 412*w**2 = 0. What is w?
-103, 0, 1
Solve 4*i**3 + 60*i**2 - 900*i - 13500 = 0.
-15, 15
What is r in -2*r**2/9 + 1292*r/9 - 208658/9 = 0?
323
Find u such that 14*u**2/9 - 1898*u/9 + 120 = 0.
4/7, 135
Solve 49*a**5 - 1897*a**4 - 9113*a**3 + 2909*a**2 + 28864*a - 20812 = 0 for a.
-22/7, 1, 43
Suppose v**2/9 + 11*v/3 = 0. What is v?
-33, 0
Factor 2*c**3 - 60*c**2 - 264*c - 272.
2*(c - 34)*(c + 2)**2
Find s, given that 5*s**4 - 5*s**3 - 45*s**2 + 45*s = 0.
-3, 0, 1, 3
Factor g**2/3 + 4*g/3.
g*(g + 4)/3
Factor -135*b**3 + 141*b**2 + 18*b - 24.
-3*(b - 1)*(5*b + 2)*(9*b - 4)
Solve 4*n**3 - 52*n**2 - 116*n - 60 = 0.
-1, 15
Determine z, given that z**5 + 2*z**4 - 6*z**3 - 8*z**2 + 5*z + 6 = 0.
-3, -1, 1, 2
Factor -3*u**4/4 + 45*u**3/4 + 99*u**2/4 + 51*u/4.
-3*u*(u - 17)*(u + 1)**2/4
Determine j, given that -j**2 + 7642*j - 14600041 = 0.
3821
Determine q, given that -2*q**2/3 + 18*q - 108 = 0.
9, 18
Factor 2*s**2/11 - 32/11.
2*(s - 4)*(s + 4)/11
Factor 4*k**2/7 + 60*k/7 + 104/7.
4*(k + 2)*(k + 13)/7
Suppose p**4/8 + 85*p**3/8 + 21*p**2/2 = 0. Calculate p.
-84, -1, 0
Solve -4*t**3 + 10792*t**2 - 43120*t + 43104 = 0.
2, 2694
Factor -2*r**3/3 - 142*r**2/3 + 290*r/3 - 146/3.
-2*(r - 1)**2*(r + 73)/3
Solve -205*k**4 - 625*k**3 - 440*k**2 - 20*k = 0.
-2, -1, -2/41, 0
Factor 15*g**3 + 13*g**2 - 2*g.
g*(g + 1)*(15*g - 2)
Factor 2*b**2/11 + 532*b/11 - 2160/11.
2*(b - 4)*(b + 270)/11
What is m in 8*m**4/7 + 60*m**3/7 - 20*m**2/7 - 600*m/7 - 288/7 = 0?
-6, -4, -1/2, 3
Suppose -7*x**5/4 + 23*x**4/4 - 13*x**3/4 - 19*x**2/4 + 5*x - 1 = 0. Calculate x.
-1, 2/7, 1, 2
Find g such that -4*g**4 + 1628*g**3 + 12*g**2 - 4892*g + 3256 = 0.
-2, 1, 407
Let a**5/3 - 4*a**4/3 - 2*a**3 + 4*a**2/3 + 5*a/3 = 0. Calculate a.
-1, 0, 1, 5
Factor d**4/4 - 7*d**3/2 - 8*d**2.
d**2*(d - 16)*(d + 2)/4
Factor -75*i**4/4 + 114*i**3 - 711*i**2/4 + 27*i/2.
-3*i*(i - 3)**2*(25*i - 2)/4
Factor 4*j**4 - 68*j**3 + 360*j**2 - 432*j - 864.
4*(j - 6)**3*(j + 1)
Suppose 4*s**4/3 + 80*s**3/3 - 88*s**2/3 - 80*s/3 + 28 = 0. What is s?
-21, -1, 1
Determine q so that 2*q**3/7 - 26*q**2/7 - 60*q/7 = 0.
-2, 0, 15
Factor 4*v**3/7 - 44*v**2/7 + 80*v/7 + 128/7.
4*(v - 8)*(v - 4)*(v + 1)/7
Determine d, given that 2*d**2 + 36*d/5 + 18/5 = 0.
-3, -3/5
Factor -4*i**4 + 24*i**3 - 16*i**2 - 24*i + 20.
-4*(i - 5)*(i - 1)**2*(i + 1)
Find s, given that -7*s**5/5 + 2616*s**4/5 - 1856*s**3/5 - 3362*s**2/5 + 1863*s/5 + 746/5 = 0.
-1, -2/7, 1, 373
Suppose 2*z**4 - 74*z**3 + 186*z**2 + 666*z - 1836 = 0. Calculate z.
-3, 3, 34
Determine i so that -4*i**2 + 3232*i - 652864 = 0.
404
Factor 2*j**3/3 - 14*j**2/3 + 24.
2*(j - 6)*(j - 3)*(j + 2)/3
Determine m so that -m**2/3 + 1390*m - 1449075 = 0.
2085
Factor -2*g**2 - 240*g + 1250.
-2*(g - 5)*(g + 125)
Factor 2*y**3 + 118*y**2 + 2150*y + 11250.
2*(y + 9)*(y + 25)**2
Factor 2*w**4/5 + 528*w**3/5 + 35372*w**2/5 + 69168*w/5 + 34322/5.
2*(w + 1)**2*(w + 131)**2/5
Factor 2*a**2/11 + 28*a/11 + 98/11.
2*(a + 7)**2/11
Factor 10*i**5/7 - 822*i**4/7 + 972*i**3/7.
2*i**3*(i - 81)*(5*i - 6)/7
What is q in -4*q**2 - 376*q - 736 = 0?
-92, -2
Let -5*b**2 + 210*b = 0. Calculate b.
0, 42
Solve y**2/7 - 19*y + 1230/7 = 0.
10, 123
Let -15*k**3 - 192*k**2 + 39*k = 0. What is k?
-13, 0, 1/5
Find d, given that -2*d**4/3 - 362*d**3/3 - 716*d**2/3 = 0.
-179, -2, 0
Factor -z**3/2 + 11*z**2 - 19*z/2 - 21.
-(z - 21)*(z - 2)*(z + 1)/2
Suppose -2*l**5/9 - 34*l**4/9 + 16*l**3/3 + 224*l**2 = 0. What is l?
-12, 0, 7
Find t, given that 4*t**2 - 468*t = 0.
0, 117
Solve 5*t**2 + 5*t - 30 = 0.
-3, 2
Suppose -2*v**2/9 - 2*v + 56 = 0. What is v?
-21, 12
What is f in 2*f**4 - 52*f**3 + 106*f**2 + 712*f + 552 = 0?
-2, -1, 6, 23
Solve -3*q**5/2 + 207*q**4/4 - 639*q**3 + 13467*q**2/4 - 6930*q + 2700 = 0.
1/2, 5, 12
Determine m so that -m**2/6 - 5*m/3 + 11/6 = 0.
-11, 1
Suppose -2*q**4 + 3*q**3 - q**2 = 0. Calculate q.
0, 1/2, 1
Solve 3*s**3 + 45*s**2 - 675*s + 1875 = 0 for s.
-25, 5
Determine s so that -s**4/2 + 8*s**3 + 3*s**2/2 - 25*s + 16 = 0.
-2, 1, 16
Factor -2*y**3 - 4*y**2 - 2*y.
-2*y*(y + 1)**2
Factor 3*i**3/5 + 27*i**2/5 - 36*i/5 - 12.
3*(i - 2)*(i + 1)*(i + 10)/5
Let -4*h**5 + 48*h**4 - 164*h**3 + 152*h**2 + 144*h - 224 = 0. What is h?
-1, 2, 7
Factor 2*l**5 - 34*l**4 + 36*l**3 + 332*l**2 + 410*l + 150.
2*(l - 15)*(l - 5)*(l + 1)**3
Solve 2*v**3 + 8280*v**2 + 11426400*v + 5256144000 = 0.
-1380
Let 4*w**3 - 138*w**2 = 0. Calculate w.
0, 69/2
Factor 3*i**4/4 - 3*i**3/2 - 9*i**2/4 + 3*i + 3.
3*(i - 2)**2*(i + 1)**2/4
Factor -2*c**5/15 + 2*c**4/15 + 12*c**3/5 - 104*c**2/15 + 16*c/3.
-2*c*(c - 2)**3*(c + 5)/15
Suppose 14*c**5/11 - 38*c**4/11 - 12*c**3/11 + 56*c**2/11 + 16*c/11 = 0. What is c?
-1, -2/7, 0, 2
Determine x, given that -2*x**4 + 22*x**3/3 - 8*x**2 + 8*x/3 = 0.
0, 2/3, 1, 2
Factor b**3/5 + 12*b**2/5 - 9*b/5 - 108/5.
(b - 3)*(b + 3)*(b + 12)/5
Factor 4*n**3 + 136*n**2 + 1156*n.
4*n*(n + 17)**2
Determine w so that w**5/5 - 19*w**4/5 + 122*w**3/5 - 278*w**2/5 + 21*w/5 + 441/5 = 0.
-1, 3, 7
Find y such that -2*y**3/13 + 4*y**2/13 + 10*y/13 - 12/13 = 0.
-2, 1, 3
Factor 3*t**2 + 45*t + 162.
3*(t + 6)*(t + 9)
Solve 2*b**3/9 + 2*b**2/3 - 32*b/9 - 32/3 = 0.
-4, -3, 4
Factor 2*i**3/9 + 44*i**2/9 + 178*i/9 - 224/9.
2*(i - 1)*(i + 7)*(i + 16)/9
Let 3*v**4 + 6*v**3 - 12*v**2 - 24*v = 0. What is v?
-2, 0, 2
Determine t, given that -11*t**2 + 30*t + 9 = 0.
-3/11, 3
What is w in -4*w**4 - 16*w**3 + 20*w**2 = 0?
-5, 0, 1
Factor j**5 - 2*j**4 - 3*j**3 + 4*j**2 + 4*j.
j*(j - 2)**2*(j + 1)**2
Find v, given that v**3 + 13*v**2 + 56*v + 80 = 0.
-5, -4
Factor -2*r**2 + 928*r - 107648.
-2*(r - 232)**2
Find s, given that -s**2/4 - s/4 + 1/2 = 0.
-2, 1
Factor -5*h**4 - 870*h**3 - 41945*h**2 - 356700*h - 840500.
-5*(h + 5)**2*(h + 82)**2
Let -36*y**4 + 492*y**3 - 1756*y**2 + 1012*y - 160 = 0. Calculate y.
1/3, 5, 8
Suppose -4*c**2 - 44*c + 48 = 0. Calculate c.
-12, 1
Determine f, given that f**3/8 + 15*f**2/8 + 27*f/8 + 13/8 = 0.
-13, -1
Suppose -2*v**3/11 - 208*v**2/11 - 808*v/11 - 800/11 = 0. Calculate v.
-100, -2
Factor -t**3 + 30*t**2 + 31*t.
-t*(t - 31)*(t + 1)
Find n, given that 2*n**5 - 6*n**4 - 28*n**3 + 72*n**2 + 80*n - 192 = 0.
-3, -2, 2, 4
Find z, given that 2*z**5 + 62*z**4 + 516*z**3 - 432*z**2 - 12096*z + 20736 = 0.
-12, 2, 3
What is y in y**2/2 - 3*y + 4 = 0?
2, 4
Factor 2*j**2 - 258*j - 260.
2*(j - 130)*(j + 1)
What is s in -s**4/4 + s**3 + 97*s**2/4 + 62*s + 39 = 0?
-6, -2, -1, 13
Factor -2*h**3/19 - 6*h**2/19 + 18*h/19 - 10/19.
-2*(h - 1)**2*(h + 5)/19
Determine l so that 2*l**2/9 + 146*l/9 - 616/9 = 0.
-77, 4
Solve 25*r**4 + 20*r**3 - 30*r**2 - 20*r + 5 = 0.
-1, 1/5, 1
Let y**3/4 - 5*y**2/2 - 13*y/4 + 11/2 = 0. What is y?
-2, 1, 11
Factor y**2/3 + 4*y/3.
y*(y + 4)/3
Find r such that 2*r**3/9 + 128*r**2/9 + 90*r + 76 = 0.
-57, -6, -1
Suppose -2*q**2 - 174*q - 2944 = 0. Calculate q.
-64, -23
Factor -2*u**3/3 + 80*u**2.
-2*u**2*(u - 120)/3
Let -3*o**2/2 + 96*o + 195/2 = 0. Calculate o.
-1, 65
Suppose 125*x**5 - 1150*x**4 + 1145*x**3 + 500*x**2 - 460