417*g**2/7 - 90*g/7 = 0. What is g?
-5, 0, 2/7, 1, 3
Determine n so that -4*n**3 + 96*n**2 - 576*n = 0.
0, 12
Factor 4*s**5 - 144*s**4 + 656*s**3 - 1144*s**2 + 876*s - 248.
4*(s - 31)*(s - 2)*(s - 1)**3
Determine l so that l**2 - 193*l - 194 = 0.
-1, 194
Find k such that -k**5/5 - 4*k**4/5 + 12*k**3/5 = 0.
-6, 0, 2
Find s, given that -8*s**4/7 - 16*s**3/7 + 54*s**2/7 + 54*s/7 - 108/7 = 0.
-3, -2, 3/2
Let 4*h**2/7 + 64*h/7 + 60/7 = 0. What is h?
-15, -1
Factor -4*f**4 - 76*f**3 - 156*f**2 + 556*f - 320.
-4*(f - 1)**2*(f + 5)*(f + 16)
Determine u so that -15*u**2/8 + 3*u/2 = 0.
0, 4/5
Let -2*d**5 - 4*d**4 + 8*d**3 + 4*d**2 - 6*d = 0. What is d?
-3, -1, 0, 1
Find m, given that -2*m**3/3 - 4*m**2/3 + 26*m/3 - 20/3 = 0.
-5, 1, 2
Factor -36*b**3/5 + 8*b**2/5 + 36*b/5 - 8/5.
-4*(b - 1)*(b + 1)*(9*b - 2)/5
Let 5*b**5/3 - 30*b**3 + 20*b**2/3 + 95*b + 60 = 0. What is b?
-4, -1, 3
Let 2*q**4 - 34*q**3 + 150*q**2 - 198*q = 0. Calculate q.
0, 3, 11
What is x in 2*x**2/5 - 298*x/5 - 2184/5 = 0?
-7, 156
Factor -5*m**4 + 380*m**3 - 7215*m**2 - 380*m + 7220.
-5*(m - 38)**2*(m - 1)*(m + 1)
Let -5*k**5/2 - 3*k**4/2 + 137*k**3/2 + 351*k**2/2 + 54*k - 54 = 0. Calculate k.
-3, -1, 2/5, 6
Factor -4*g**3 - 112*g**2 + 4*g + 112.
-4*(g - 1)*(g + 1)*(g + 28)
Factor t**5 - 2*t**4 - 2*t**3 + 4*t**2 + t - 2.
(t - 2)*(t - 1)**2*(t + 1)**2
Factor -2*f**3/7 + 40*f**2/7 + 86*f/7 + 44/7.
-2*(f - 22)*(f + 1)**2/7
Factor -q**5 - q**4 + 7*q**3 + 13*q**2 + 6*q.
-q*(q - 3)*(q + 1)**2*(q + 2)
Let -3*t**3 - 69*t**2 + 78*t + 144 = 0. What is t?
-24, -1, 2
Suppose -2*s**4 - 78*s**3 - 222*s**2 - 218*s - 72 = 0. Calculate s.
-36, -1
Factor 5*i**4/2 + 20*i**3 + 95*i**2/2 + 30*i.
5*i*(i + 1)*(i + 3)*(i + 4)/2
Solve -2*n**2/9 + 14*n/9 - 20/9 = 0.
2, 5
Factor y**3 + 61*y**2 + 1015*y + 2523.
(y + 3)*(y + 29)**2
Factor 6*j**2 + 112*j + 392.
2*(j + 14)*(3*j + 14)
Find r, given that 2*r**4 + 18*r**3 - 152*r**2 - 168*r = 0.
-14, -1, 0, 6
Suppose -4*a**5 + 10*a**4 + 12*a**3 - 40*a**2 + 16*a = 0. Calculate a.
-2, 0, 1/2, 2
Solve -2*w**2/9 - 476*w/9 - 28322/9 = 0.
-119
Let 10*q**3 + 128*q**2 - 34*q - 104 = 0. Calculate q.
-13, -4/5, 1
Factor -5*t**3/3 + 718*t**2/3 - 8544*t - 3456.
-(t - 72)**2*(5*t + 2)/3
Factor 2*q**3 - 16*q**2 - 88*q - 96.
2*(q - 12)*(q + 2)**2
Let -3*l**3 + 744*l**2 = 0. What is l?
0, 248
Factor -s**5/5 + 558*s**4/5 - 76152*s**3/5 - 470384*s**2/5 - 949776*s/5 - 636192/5.
-(s - 282)**2*(s + 2)**3/5
Find f, given that -2*f**2/13 + 12*f/13 - 18/13 = 0.
3
Suppose -m**5/7 + 29*m**4/7 - 293*m**3/7 + 1291*m**2/7 - 366*m + 1872/7 = 0. What is m?
2, 3, 8, 13
Solve -2*w**2/13 + 16*w/13 - 24/13 = 0.
2, 6
Factor f**4 + 15*f**3 - 3*f**2 - 43*f + 30.
(f - 1)**2*(f + 2)*(f + 15)
Factor 12*y**3 + 3*y**2 - 33*y + 18.
3*(y - 1)*(y + 2)*(4*y - 3)
Find g, given that -81*g**5 + 18*g**4 + 971*g**3 - 1512*g**2 + 300*g - 16 = 0.
-4, 1/9, 2
Determine f, given that 2*f**2 - 14*f = 0.
0, 7
Let 5*w**5 + 120*w**4 + 760*w**3 - 640*w**2 - 10800*w + 16000 = 0. Calculate w.
-10, -8, 2
Determine m so that -5*m**3 + 12810*m**2 - 25605*m + 12800 = 0.
1, 2560
Factor -l**4/2 - 14*l**3 - 13*l**2 + 14*l + 27/2.
-(l - 1)*(l + 1)**2*(l + 27)/2
Find p such that -3*p**3 + 6897*p**2 - 6894*p = 0.
0, 1, 2298
Find a such that 6*a**4/11 + 16*a**3/11 - 12*a**2/11 - 16*a/11 + 6/11 = 0.
-3, -1, 1/3, 1
What is f in -5*f**5 - 5*f**4 + 135*f**3 + 385*f**2 + 370*f + 120 = 0?
-4, -1, 6
Find q, given that 3*q**5/7 - 33*q**4/7 - 171*q**3/7 - 135*q**2/7 = 0.
-3, -1, 0, 15
Determine u, given that 2*u**4/7 + 10*u**3/7 - 12*u**2/7 - 64*u/7 + 64/7 = 0.
-4, 1, 2
Factor -14*v**3/5 - 68*v**2/5 - 74*v/5 + 12/5.
-2*(v + 2)*(v + 3)*(7*v - 1)/5
What is y in 4*y**5 - 4*y**4 - 108*y**3 + 100*y**2 + 200*y = 0?
-5, -1, 0, 2, 5
Determine h, given that 15*h**2/2 - 28413*h/2 + 2841 = 0.
1/5, 1894
Factor -4*z**2 + 180*z + 9856.
-4*(z - 77)*(z + 32)
Suppose 2*i**5/3 - 16*i**4/3 + 4*i**3/3 + 160*i**2/3 - 50*i = 0. What is i?
-3, 0, 1, 5
Suppose -2*p**5 + 34*p**4/3 - 8*p**3/3 - 152*p**2/3 + 32*p = 0. What is p?
-2, 0, 2/3, 3, 4
Factor 4*v**4/3 + 748*v**3/3 + 15624*v**2 + 999440*v/3 + 953312/3.
4*(v + 1)*(v + 62)**3/3
Determine k so that 729*k**2 + 726*k - 3 = 0.
-1, 1/243
Factor 3*l**2 + 61*l/3 - 60.
(l + 9)*(9*l - 20)/3
Find i such that 3*i**5/2 + 15*i**4 + 9*i**3 - 48*i**2 - 141*i/2 - 27 = 0.
-9, -1, 2
Factor -3*f**3 - 15*f**2 + 39*f - 21.
-3*(f - 1)**2*(f + 7)
Suppose 2*d**2 + 2228*d + 620498 = 0. Calculate d.
-557
Let -2*z**2/11 + 2350*z/11 + 428 = 0. What is z?
-2, 1177
Determine d so that 3*d**4 - 78*d**3 - 87*d**2 + 162*d = 0.
-2, 0, 1, 27
Find w such that 14*w**5/11 - 6*w**4 - 62*w**3/11 + 170*w**2/11 + 192*w/11 + 40/11 = 0.
-1, -2/7, 2, 5
Factor 3*b**2 + 1365*b.
3*b*(b + 455)
Let 2*b**4/5 - 62*b**3/5 - 6*b**2/5 + 182*b/5 + 124/5 = 0. What is b?
-1, 2, 31
Suppose 2*f**2/9 - 20*f/3 = 0. Calculate f.
0, 30
Find o such that 2*o**2/13 + 226*o/13 - 460/13 = 0.
-115, 2
Find o, given that 3*o**3/7 + 27*o**2/7 + 45*o/7 - 75/7 = 0.
-5, 1
Determine o so that 61*o**4/2 - 185*o**3/2 + 189*o**2/2 - 67*o/2 + 1 = 0.
2/61, 1
Factor -5*w**5/2 - 20*w**4 - 45*w**3 - 40*w**2 - 25*w/2.
-5*w*(w + 1)**3*(w + 5)/2
Factor 2*d**2/11 - 54*d/11 - 4736/11.
2*(d - 64)*(d + 37)/11
Determine c so that c**2/4 - 23*c/4 = 0.
0, 23
Let -2*d**3 + 50*d = 0. Calculate d.
-5, 0, 5
Determine d so that 2*d**3/15 + 44*d**2/15 - 50*d - 264/5 = 0.
-33, -1, 12
Factor -2*l**3/3 + 350*l**2/3 + 706*l/3 + 118.
-2*(l - 177)*(l + 1)**2/3
Factor s**2 - 75*s - 756.
(s - 84)*(s + 9)
Factor -s**2 - 14*s.
-s*(s + 14)
What is g in -2*g**5/3 - 152*g**4/3 - 2566*g**3/3 + 12320*g**2/3 - 3200*g = 0?
-40, 0, 1, 3
Factor w**5/2 - 9*w**4/2 + 15*w**3/2 - 7*w**2/2.
w**2*(w - 7)*(w - 1)**2/2
Factor 5*a**5 + 20*a**4.
5*a**4*(a + 4)
Let 10*c**5/19 + 24*c**4/19 + 8*c**3/19 - 20*c**2/19 - 18*c/19 - 4/19 = 0. Calculate c.
-1, -2/5, 1
Factor 2*u**3/5 - 366*u**2/5 + 22326*u/5 - 453962/5.
2*(u - 61)**3/5
Solve -2*p**3 - 140*p**2 - 2304*p + 5184 = 0 for p.
-36, 2
Factor -5385762*c**2 + 13128*c - 8.
-2*(1641*c - 2)**2
Factor b**4/9 + b**3/3 + b**2/9 - b/3 - 2/9.
(b - 1)*(b + 1)**2*(b + 2)/9
Factor -c**4/4 + 63*c**3/4 - 45*c**2 - c + 60.
-(c - 60)*(c - 2)**2*(c + 1)/4
Let z**5 - 24*z**4/5 + 6*z**3 - 8*z**2/5 - 3*z/5 = 0. Calculate z.
-1/5, 0, 1, 3
Find k such that 15*k**3 + 369*k**2 + 1368*k - 4332 = 0.
-19, -38/5, 2
Suppose 4*d**2 - 1416*d + 125316 = 0. Calculate d.
177
Solve -15*h**4/7 + 327*h**3/7 + 291*h**2/7 - 26955*h/7 - 5400/7 = 0.
-8, -1/5, 15
Factor -382*o**2 + 762*o + 4.
-2*(o - 2)*(191*o + 1)
Factor -b**2 - 77*b + 78.
-(b - 1)*(b + 78)
Solve w**2/4 + 1345*w/2 = 0.
-2690, 0
Suppose 33*c**4/8 + 97*c**3/8 - 3*c**2/4 - 33*c/2 + 1 = 0. Calculate c.
-2, 2/33, 1
Factor -5*w**2 + 865*w.
-5*w*(w - 173)
Factor h**2 - 446*h.
h*(h - 446)
What is n in -n**2/3 + 11*n - 30 = 0?
3, 30
Suppose 93*x**5 - 6*x**4 - 1023*x**3 + 1740*x**2 - 852*x + 48 = 0. Calculate x.
-4, 2/31, 1, 2
What is c in -2*c**3/9 - 80*c**2/9 - 800*c/9 = 0?
-20, 0
Suppose -2*r**3/7 + 128*r**2/7 + 2*r/7 - 128/7 = 0. What is r?
-1, 1, 64
Find b, given that -4*b**4 + 336*b**3 + 2880*b**2 + 5888*b = 0.
-4, 0, 92
Find o, given that 5*o**5/4 + 31*o**4/2 + 31*o**3 + 10*o**2 = 0.
-10, -2, -2/5, 0
Determine z so that -z**2/4 - 17*z/4 = 0.
-17, 0
Factor 4*q**2/7 - 6*q/7 - 4/7.
2*(q - 2)*(2*q + 1)/7
Suppose -4*p**5 - 628*p**4 - 21660*p**3 + 234772*p**2 - 543152*p + 330672 = 0. Calculate p.
-83, 1, 2, 6
Factor 4*w**3 + 16*w**2 - 156*w + 216.
4*(w - 3)*(w - 2)*(w + 9)
Factor 4*z**3 - 28*z**2 - 112*z - 80.
4*(z - 10)*(z + 1)*(z + 2)
Determine z so that 4*z**2 - 196*z + 376 = 0.
2, 47
Factor 2*y**3 + 328*y**2 + 13770*y + 26244.
2*(y + 2)*(y + 81)**2
Suppose r**3/3 + 28*r**2/3 + 119*r/3 + 92/3 = 0. What is r?
-23, -4, -1
Factor -5*w**3/2 - 140*w**2 - 4185*w/2 - 3645.
-5*(w + 2)*(w + 27)**2/2
Solve -3*u**2 - 147*u - 660 = 0 for u.
-44, -5
Determine l so that l**4 - 7*l**3 - 9*l**2 + 115*l - 100 = 0.
-4, 1, 5
Find k, given that k**5/5 + k**4/5 - 41*k**3/5 + 31*k**2/5 + 184*k/5 + 112/5 = 0.
-7, -1, 4
Factor 25*c**5 + 210*c**4 - 144*c**3 - 82*c**2 - 9*c.
c*(c - 1)*(c + 9)*(5*c + 1)**2
Determine v, given that -v**4/7 - v**3/7 + 5*v**2/7 - 3*v/7 = 0.
-3, 0, 1
Factor -s**4/4 + 37*s**3/4 - 391*s**2/4 + 867*s/4.
-s*(s - 17)**2*(s - 3)/4
Factor -2*w**3/13 - 42*w**2/13 - 36*w/13 + 80/13