*w/7 - 27/7 = 0.
-3, -1/3, 3
Determine z so that -14*z**4/3 - 64*z**3/3 - 34*z**2 - 68*z/3 - 16/3 = 0.
-2, -1, -4/7
Find c, given that c**3 - 26*c**2 + 169*c = 0.
0, 13
Factor v**3 + 335*v**2 - v - 335.
(v - 1)*(v + 1)*(v + 335)
Let 2*u**3/17 + 554*u**2/17 - 5690*u/17 + 14350/17 = 0. Calculate u.
-287, 5
Solve s**2/2 - 63*s/2 - 32 = 0.
-1, 64
Solve -2*f**5/9 + 2*f**4/3 + 4*f**3/9 - 8*f**2/3 + 16*f/9 = 0.
-2, 0, 1, 2
What is f in 2*f**2/13 + 24*f/13 + 22/13 = 0?
-11, -1
Factor s**3 + 9*s**2 + 24*s + 16.
(s + 1)*(s + 4)**2
Factor -2*y**2 - 6*y.
-2*y*(y + 3)
Determine t, given that t**5/5 - t**4/5 - 2*t**3/5 = 0.
-1, 0, 2
Factor -a**3/3 + 29*a**2/3 + 10*a.
-a*(a - 30)*(a + 1)/3
Suppose -4*y**4 + 76*y**3 - 420*y**2 + 500*y + 1000 = 0. What is y?
-1, 5, 10
Solve -5*m**4 - 50*m**3 + 55*m**2 = 0 for m.
-11, 0, 1
Solve 75*s**2/7 + 24210*s/7 + 1953747/7 = 0.
-807/5
Suppose 2*t**4/11 + 36*t**3 - 402*t**2/11 - 796*t/11 = 0. Calculate t.
-199, -1, 0, 2
Find v, given that -5*v**4 - 20*v**3 + 160*v**2 + 720*v + 720 = 0.
-6, -2, 6
What is z in -2*z**2/7 - 8*z - 56 = 0?
-14
Let d**2 + 76*d/3 - 52/3 = 0. Calculate d.
-26, 2/3
Solve -15*f**5 - 96*f**4 - 216*f**3 - 222*f**2 - 105*f - 18 = 0 for f.
-3, -1, -2/5
Factor 5*j**4 + 50*j**3 - 35*j**2 - 980*j.
5*j*(j - 4)*(j + 7)**2
Factor z**3 - 33*z**2 + 171*z - 243.
(z - 27)*(z - 3)**2
What is q in q**2/4 + 27*q/2 - 55/4 = 0?
-55, 1
Factor -2*c**2 - 12*c + 80.
-2*(c - 4)*(c + 10)
Factor -2*h**4 + 20*h**3 + 26*h**2 - 44*h.
-2*h*(h - 11)*(h - 1)*(h + 2)
Suppose -4*y**2 + 148*y - 640 = 0. Calculate y.
5, 32
Let -2*q**5 + 946*q**4 - 97334*q**3 - 3429554*q**2 - 28027664*q - 24696392 = 0. What is q?
-14, -1, 251
Factor -i**2 + 15*i + 34.
-(i - 17)*(i + 2)
Factor 2*z**4/9 - 1496*z**3/9 + 92248*z**2/3 + 1124992*z/9 + 1131008/9.
2*(z - 376)**2*(z + 2)**2/9
Let -5*w**3/3 + 620*w**2/3 - 21460*w/3 + 134560/3 = 0. What is w?
8, 58
Factor 10*q**2 - 26*q + 12.
2*(q - 2)*(5*q - 3)
Suppose 98*w**5/3 - 5705*w**4/3 + 84436*w**3/3 - 40804*w**2/3 = 0. What is w?
0, 1/2, 202/7
Suppose -2*r**5 + 31*r**4/3 + 31*r**3/3 - 2*r**2 = 0. What is r?
-1, 0, 1/6, 6
Let -4*t**2 - 124*t + 128 = 0. Calculate t.
-32, 1
Factor b**5/6 + 2*b**4/3 - b**3/6 - 2*b**2/3.
b**2*(b - 1)*(b + 1)*(b + 4)/6
Determine a so that -2*a**4/3 + 38*a**3/3 + 325*a**2/2 + 458*a/3 + 112/3 = 0.
-8, -1/2, 28
Find t, given that 49*t**5 + 91*t**4 - 145*t**3 - 355*t**2 - 204*t - 36 = 0.
-2, -1, -3/7, 2
Factor -5*b**4 + 45*b**3 + 170*b**2 + 120*b.
-5*b*(b - 12)*(b + 1)*(b + 2)
Let -4*m**3/3 + 20*m**2/3 + 8*m = 0. Calculate m.
-1, 0, 6
What is g in g**4 + 2*g**3 - 59*g**2 - 60*g + 900 = 0?
-6, 5
Suppose 2550*s**5 - 3015*s**4 - 237*s**3 + 834*s**2 - 108*s - 24 = 0. Calculate s.
-1/2, -2/17, 2/5, 1
What is z in 2*z**4 + 4*z**3 - 10*z**2 - 12*z = 0?
-3, -1, 0, 2
Suppose -q**2 + 1373*q - 2742 = 0. Calculate q.
2, 1371
Determine l, given that -20*l**2 + 4*l + 16 = 0.
-4/5, 1
Factor 4*v**3/7 + 52*v**2/7 - 8096*v/7 + 110352/7.
4*(v - 22)**2*(v + 57)/7
Suppose 77860436*t**3 + 1736664*t**2 + 12912*t + 32 = 0. Calculate t.
-2/269
Find r such that 2*r**4/9 - 82*r**3/9 - 154*r**2/3 + 82*r/9 + 460/9 = 0.
-5, -1, 1, 46
Determine a, given that 4*a**4 + 96*a**3 + 648*a**2 + 704*a - 1452 = 0.
-11, -3, 1
Factor -20*m**2 - 808*m + 492.
-4*(m + 41)*(5*m - 3)
Determine t, given that -4*t**5 - 155*t**4 - 1633*t**3 - 3566*t**2 - 1468*t + 616 = 0.
-22, -14, -2, -1, 1/4
Factor 476*q**3 - 2852*q**2 + 4260*q + 36.
4*(q - 3)**2*(119*q + 1)
Factor 3*h**2/5 - 27*h/5 - 66/5.
3*(h - 11)*(h + 2)/5
Find l such that -l**3/4 - 19*l**2 - 853*l/4 + 465/2 = 0.
-62, -15, 1
Factor 3*a**2/2 + 504*a + 1005/2.
3*(a + 1)*(a + 335)/2
Suppose w**5/5 - 22*w**4/5 - 27*w**3/5 + 88*w**2/5 + 92*w/5 = 0. What is w?
-2, -1, 0, 2, 23
Factor n**3/2 + 56*n**2.
n**2*(n + 112)/2
Factor -2*s**2/3 + 964*s/3 - 116162/3.
-2*(s - 241)**2/3
Find i, given that 2*i**5/5 - 8*i**4/5 + 6*i**3/5 + 8*i**2/5 - 8*i/5 = 0.
-1, 0, 1, 2
Factor -4*h**5 + 16*h**4 - 16*h**3 - 8*h**2 + 20*h - 8.
-4*(h - 2)*(h - 1)**3*(h + 1)
Factor 3*y**2/8 + 567*y/8.
3*y*(y + 189)/8
Suppose 3*f**5 - 21*f**4 + 18*f**3 = 0. What is f?
0, 1, 6
What is a in -3*a**3/2 + 18*a**2 + 135*a/2 = 0?
-3, 0, 15
Suppose -4*r**5 - 4*r**4 + 32*r**3 + 48*r**2 = 0. Calculate r.
-2, 0, 3
Determine u, given that -5*u**4 + 200*u**3 - 1040*u**2 - 19200*u - 46080 = 0.
-4, 24
Determine a, given that -a**2/6 - 8*a/3 - 5/2 = 0.
-15, -1
Suppose z**2/2 + 25*z/2 + 12 = 0. Calculate z.
-24, -1
Determine l so that -18*l**4 - 156*l**3 - 146*l**2 + 424*l - 168 = 0.
-7, -3, 2/3
Factor 32*f**2/19 + 15056*f/19 + 1770962/19.
2*(4*f + 941)**2/19
Solve -4*y**2 + 32*y - 64 = 0 for y.
4
Let -d**2/6 + 97*d + 584/3 = 0. What is d?
-2, 584
Factor v**4/2 - 149*v**3/2 + 441*v**2/2 - 439*v/2 + 73.
(v - 146)*(v - 1)**3/2
Factor 625*q**3/6 - 850*q**2/3 + 578*q/3.
q*(25*q - 34)**2/6
Factor -28*p**2 - 10256*p - 2928.
-4*(p + 366)*(7*p + 2)
Factor g**3 - 317*g**2 + 25591*g - 73947.
(g - 157)**2*(g - 3)
Find j such that 2*j**2 - 78*j - 80 = 0.
-1, 40
Determine v so that 21*v**4/5 + 687*v**3/5 + 4338*v**2/5 - 21708*v/5 + 5832/5 = 0.
-18, 2/7, 3
Let 5*l**3/3 + l**2 - 2*l/3 = 0. What is l?
-1, 0, 2/5
Determine o so that 28*o**4/11 + 2*o**3/11 - 84*o**2/11 - 62*o/11 - 4/11 = 0.
-1, -1/14, 2
Let 4*p**4 + 7*p**3 - 34*p**2 + 8*p = 0. Calculate p.
-4, 0, 1/4, 2
What is x in 16562*x**4 - 103012*x**3 + 171098*x**2 - 33960*x + 1800 = 0?
10/91, 3
Find q such that -q**3/10 + 81*q**2/2 - 20604*q/5 + 20402/5 = 0.
1, 202
What is l in 36*l**2 - 44*l + 8 = 0?
2/9, 1
Determine v, given that -2*v**2/13 - 98*v/13 - 276/13 = 0.
-46, -3
Suppose 4*x**5 + 636*x**4 + 22972*x**3 - 182316*x**2 + 432928*x - 330672 = 0. What is x?
-83, 2, 3
Solve 5*q**2 - 153*q - 62 = 0 for q.
-2/5, 31
Factor -5*t**5 - 60*t**4 - 150*t**3 - 140*t**2 - 45*t.
-5*t*(t + 1)**3*(t + 9)
Factor -s**2/4 + 19*s + 77/4.
-(s - 77)*(s + 1)/4
Factor -x**2 - 55*x - 54.
-(x + 1)*(x + 54)
Let h**2 - 92*h + 352 = 0. Calculate h.
4, 88
Factor -2*r**3/21 + 2*r/21.
-2*r*(r - 1)*(r + 1)/21
Determine l, given that -l**4 - 3002*l**3 - 2999988*l**2 - 993963960*l + 4024048032 = 0.
-1002, 4
Factor 1058*f**3/11 + 782*f**2/11 - 258*f/11 + 18/11.
2*(f + 1)*(23*f - 3)**2/11
Factor 3*n**5/4 + 9*n**4/2 + 27*n**3/4 + 3*n**2.
3*n**2*(n + 1)**2*(n + 4)/4
Factor -3*a**2 - 6636*a.
-3*a*(a + 2212)
Determine c, given that -c**3/4 - c**2/2 + 7*c/4 - 1 = 0.
-4, 1
Let -3*t**3/4 + 189*t**2 - 5121*t/4 - 1470 = 0. Calculate t.
-1, 8, 245
Factor -3*m**3/5 - 291*m**2/5 - 288*m/5.
-3*m*(m + 1)*(m + 96)/5
Let -3*w**3 - 36*w**2 - 33*w = 0. Calculate w.
-11, -1, 0
Let 5*n**2 + 49*n + 36 = 0. Calculate n.
-9, -4/5
Determine r, given that -15*r**4/2 - 57*r**3/2 - 63*r**2/2 - 15*r/2 + 3 = 0.
-2, -1, 1/5
Factor -2*i**3/13 - 36*i**2/13 - 120*i/13 - 112/13.
-2*(i + 2)**2*(i + 14)/13
Let t**4 + 58*t**3 - 123*t**2 - 180*t = 0. What is t?
-60, -1, 0, 3
Factor -2*y**4/9 - 178*y**3/9 - 660*y**2 - 88088*y/9 - 489808/9.
-2*(y + 22)**3*(y + 23)/9
Factor l**2 + 49*l - 50.
(l - 1)*(l + 50)
Factor 81*c**3 - 46701*c**2 - 20768*c - 2308.
(c - 577)*(9*c + 2)**2
Factor 2*x**4/9 - 34*x**3 + 1734*x**2 - 29478*x.
2*x*(x - 51)**3/9
Find m such that 3*m**2/2 - 4566*m + 3474726 = 0.
1522
Suppose -2*f**2/5 - 2*f/5 + 12 = 0. Calculate f.
-6, 5
Factor 2*r**5/11 - 6*r**4/11 + 6*r**3/11 - 2*r**2/11.
2*r**2*(r - 1)**3/11
Determine k so that k**5/5 - 34*k**4/5 + 384*k**3/5 - 1984*k**2/5 + 4864*k/5 - 4608/5 = 0.
4, 18
Factor -3*r**3 - 96*r**2 - 267*r - 174.
-3*(r + 1)*(r + 2)*(r + 29)
Find c, given that -18*c**3/5 + 357*c**2/5 - 288*c/5 + 57/5 = 0.
1/3, 1/2, 19
Factor 4*l**4 + 110*l**3 - 56*l**2.
2*l**2*(l + 28)*(2*l - 1)
Determine n so that n**5/2 - 7*n**3 + 6*n**2 + 13*n/2 - 6 = 0.
-4, -1, 1, 3
Let 2*r**5/3 - 8*r**4 + 24*r**3 = 0. Calculate r.
0, 6
Solve -4*m**2 - 48*m + 180 = 0.
-15, 3
Factor -i**4/4 - 9*i**3 - 80*i**2 + 36*i + 324.
-(i - 2)*(i + 2)*(i + 18)**2/4
Factor n**2/2 + 5*n + 9/2.
(n + 1)*(n + 9)/2
Factor -2*x**2/7 + 314*x/7 + 4420/7.
-2*(x - 170)*(x + 13)/7
Suppose -2*z**4/7 - 486*z**3/7 - 27774*z**2/7 + 212750*z/7 - 375000/7 = 0. Calculate z.
-125, 3, 4
Find i, given that -5*i**4 - 20*i**3 + 35*i**2 + 110*i - 120 = 0.
-4, -3, 1, 2
Determine p so that 2*p**4/11 - 868*p**3/11 - 3494*p**2/11 - 4376*p/11 - 1752/11 = 0.
-2, -1, 438
Solve -2*l**3/7 