
-10, -2, 1
Let -16*j**3/7 - 1116*j**2/7 - 4920*j/7 + 1300/7 = 0. What is j?
-65, -5, 1/4
Factor 49*b**3/9 - 26159*b**2/3 + 14944*b/3 - 6404/9.
(b - 1601)*(7*b - 2)**2/9
Let 25*u**3 + 110*u**2 + 140*u + 40 = 0. Calculate u.
-2, -2/5
Factor 2*m**3/7 + 2*m**2 - 2*m/7 - 2.
2*(m - 1)*(m + 1)*(m + 7)/7
Suppose -3*y**2/7 - 27*y/7 + 66/7 = 0. What is y?
-11, 2
Let -8*q**2/7 + 46*q/7 + 12/7 = 0. What is q?
-1/4, 6
What is r in -r**2/3 - 35*r + 1150/3 = 0?
-115, 10
Factor -a**2/2 + 954*a + 1909/2.
-(a - 1909)*(a + 1)/2
Factor -3*u**5 + 69*u**4 - 489*u**3 + 1083*u**2 - 960*u + 300.
-3*(u - 10)**2*(u - 1)**3
Factor 3*i**3 + 174*i**2 - 543*i + 366.
3*(i - 2)*(i - 1)*(i + 61)
Factor 3*q**4 - 186*q**3 + 3648*q**2 - 23040*q.
3*q*(q - 30)*(q - 16)**2
Suppose -2*l**3 - 174*l**2 - 2400*l + 65000 = 0. Calculate l.
-50, 13
Factor -6*t**3 + 171*t**2 + 2796*t - 1440.
-3*(t - 40)*(t + 12)*(2*t - 1)
Find i, given that -5*i**2 - 110*i + 1015 = 0.
-29, 7
What is l in -2*l**2/5 - 40*l - 1000 = 0?
-50
Factor a**3/4 - 113*a**2/4 + 439*a/4 - 327/4.
(a - 109)*(a - 3)*(a - 1)/4
Factor b**2 + 45*b - 46.
(b - 1)*(b + 46)
Factor 5*u**2/6 - 1030*u/3 - 2075/2.
5*(u - 415)*(u + 3)/6
Find u such that -u**3/3 - 3*u**2 + 10*u/3 = 0.
-10, 0, 1
Determine r, given that 9*r**5 - 3930*r**4 + 10434*r**3 - 7812*r**2 - 3*r + 1302 = 0.
-1/3, 1, 434
Determine h so that h**3/2 + 18*h**2 - 259*h/2 - 147 = 0.
-42, -1, 7
Factor -3*r**4 + 240*r**3 - 4551*r**2 - 10086*r.
-3*r*(r - 41)**2*(r + 2)
Factor -x**4/8 - 2*x**3 - 29*x**2/8 - 7*x/4.
-x*(x + 1)**2*(x + 14)/8
Factor -2*t**5 - 204*t**4 - 1716*t**3 - 3944*t**2 - 3546*t - 1116.
-2*(t + 1)**3*(t + 6)*(t + 93)
Factor -2*y**2/11 - 510*y/11.
-2*y*(y + 255)/11
Find i, given that -28*i**4 + 120*i**3 + 864*i**2 - 256*i = 0.
-4, 0, 2/7, 8
Let 44*n**5 - 124*n**4 - 156*n**3 + 284*n**2 + 320*n + 48 = 0. Calculate n.
-1, -2/11, 2, 3
What is v in 5*v**3 - 23*v**2 + 20*v + 12 = 0?
-2/5, 2, 3
Factor 10*k**2 - 785*k + 390.
5*(k - 78)*(2*k - 1)
Find s, given that -s**5/4 - 3*s**4/4 + 9*s**3/4 - 5*s**2/4 = 0.
-5, 0, 1
Let 2*p**4/15 + 16*p**3/3 + 364*p**2/5 + 5408*p/15 + 4394/15 = 0. Calculate p.
-13, -1
Factor z**5/4 + z**4 - z**3/4 - z**2.
z**2*(z - 1)*(z + 1)*(z + 4)/4
What is b in 2*b**2 - 4*b = 0?
0, 2
Solve 3*y**5 - 4*y**4/5 - 24*y**3/5 + 2*y**2/5 + 9*y/5 + 2/5 = 0.
-1, -2/5, -1/3, 1
Let -24*g**4/7 + 800*g**3/7 - 1038*g**2/7 + 450*g/7 - 64/7 = 0. What is g?
1/3, 1/2, 32
Find h such that 2*h**5 + 22*h**4 + 20*h**3 - 248*h**2 - 112*h + 640 = 0.
-8, -5, -2, 2
Suppose -4*x**5 - 20*x**4 + 80*x**2 + 64*x = 0. Calculate x.
-4, -2, -1, 0, 2
Suppose 9*g**4/2 - 37713*g**3 + 79027590*g**2 - 52668300*g = 0. What is g?
0, 2/3, 4190
Factor -5*r**2 + 170*r - 1040.
-5*(r - 26)*(r - 8)
Let 2*t**2/9 - 200*t/9 + 194/3 = 0. Calculate t.
3, 97
Solve -98*m**2 + 280*m - 200 = 0.
10/7
Factor -5*s**2 - 65*s - 110.
-5*(s + 2)*(s + 11)
Factor q**2/6 + 25*q/2 - 38/3.
(q - 1)*(q + 76)/6
Determine z, given that -2*z**3 + 4*z**2 + 6*z = 0.
-1, 0, 3
Suppose -3*z**5/5 + 21*z**4/5 - 3*z**3 - 21*z**2/5 + 18*z/5 = 0. What is z?
-1, 0, 1, 6
Solve -3*g**2 - 2820*g - 2817 = 0.
-939, -1
Factor -128*d**4 + 2656*d**3/3 + 670*d**2/9 + 14*d/9.
-2*d*(d - 7)*(24*d + 1)**2/9
Factor a**3/5 + 24*a**2 + 353*a/5 + 234/5.
(a + 1)*(a + 2)*(a + 117)/5
Determine f, given that -28*f**4/9 - 148*f**3/9 - 208*f**2/9 - 16*f/3 = 0.
-3, -2, -2/7, 0
Factor y**2/4 - 2*y.
y*(y - 8)/4
Factor -2*j**2/3 - 5004*j - 9390006.
-2*(j + 3753)**2/3
Factor -k**4/4 - 5*k**3/4 + 33*k**2/4 - 27*k/4.
-k*(k - 3)*(k - 1)*(k + 9)/4
Factor 2*q**2 + 456*q + 25992.
2*(q + 114)**2
Factor 2*k**2 - 134*k.
2*k*(k - 67)
Suppose -2*f**5 - 16*f**4 - 36*f**3 - 8*f**2 + 38*f + 24 = 0. Calculate f.
-4, -3, -1, 1
Factor -4*h**2 + 2576*h - 7692.
-4*(h - 641)*(h - 3)
Determine w, given that -4*w**3 + 24*w**2 + 4*w - 24 = 0.
-1, 1, 6
Factor c**4/5 + 2*c**3/5 - 7*c**2/5 + 4*c/5.
c*(c - 1)**2*(c + 4)/5
Factor -2*n**4 + 52*n**3 + 56*n**2 - 52*n - 54.
-2*(n - 27)*(n - 1)*(n + 1)**2
Factor -9*k**3 - 489*k**2 + 330*k.
-3*k*(k + 55)*(3*k - 2)
Factor 2*c**4 + 22*c**3 + 54*c**2 + 50*c + 16.
2*(c + 1)**3*(c + 8)
Suppose n**3/7 - 12*n**2/7 = 0. Calculate n.
0, 12
Factor 3*x**2 - 4962*x - 14913.
3*(x - 1657)*(x + 3)
Determine w, given that 169*w**5/5 + 598*w**4/5 + 789*w**3/5 + 92*w**2 + 20*w = 0.
-1, -10/13, 0
What is m in -5*m**3 + 60*m**2 - 225*m + 270 = 0?
3, 6
Factor 5*j**3 + 15*j**2 + 10*j.
5*j*(j + 1)*(j + 2)
Factor 2*o**3/5 - 6*o**2/5 + 4*o/5.
2*o*(o - 2)*(o - 1)/5
Factor -3*t**3/2 - 63*t**2/8 + 57*t/8 + 9/4.
-3*(t - 1)*(t + 6)*(4*t + 1)/8
Solve 300*u**5/11 + 298*u**4/11 - 302*u**3/11 - 298*u**2/11 + 2*u/11 = 0.
-1, 0, 1/150, 1
Solve 4*r**4 - 24*r**3 = 0.
0, 6
Factor 3*p**4 - 60*p**3 + 300*p**2.
3*p**2*(p - 10)**2
Find q, given that -5*q**2 + 195*q - 990 = 0.
6, 33
Find b, given that 4*b**4/7 - 268*b**3/7 + 1712*b**2/7 - 1856*b/7 - 3840/7 = 0.
-1, 4, 60
Factor -5*w**5 - 5*w**4.
-5*w**4*(w + 1)
Suppose -3*p**3/4 - 87*p**2/2 - 3339*p/4 - 5292 = 0. What is p?
-21, -16
Find u such that -3*u**5/4 - 33*u**4/4 + 63*u**3/4 + 837*u**2/4 - 486*u = 0.
-9, -8, 0, 3
Let -u**4/7 + 8*u**3/7 + 10*u**2/7 - 200*u/7 + 375/7 = 0. What is u?
-5, 3, 5
Let -2*b**3/7 + 120*b**2/7 - 550*b/7 = 0. What is b?
0, 5, 55
Factor j**2 - 437*j + 436.
(j - 436)*(j - 1)
Solve -2*s**2 - 16*s - 14 = 0.
-7, -1
Find j such that 9*j**5 - 363*j**4 - 1010*j**3 - 938*j**2 - 343*j - 43 = 0.
-1, -1/3, 43
Let 5*w**3 + 3450*w**2 + 6885*w + 3440 = 0. Calculate w.
-688, -1
Solve b**5 + 4*b**4 = 0.
-4, 0
Find o, given that 6*o**5 - 148*o**4/3 + 356*o**3/3 - 120*o**2 + 154*o/3 - 20/3 = 0.
2/9, 1, 5
Find l such that l**4/2 + 15*l**3/2 + 29*l**2 + 42*l + 20 = 0.
-10, -2, -1
Factor 7*j**5 - 30*j**4 + 8*j**3.
j**3*(j - 4)*(7*j - 2)
Find r, given that r**2/11 + 26*r/11 - 37 = 0.
-37, 11
Factor -4*a**2 - 60*a - 104.
-4*(a + 2)*(a + 13)
Suppose h**3 + h**2 - 4*h - 4 = 0. Calculate h.
-2, -1, 2
Factor f**5 - 6*f**4 + 4*f**3 + 6*f**2 - 5*f.
f*(f - 5)*(f - 1)**2*(f + 1)
Let 5*r**2 + 165*r = 0. What is r?
-33, 0
Factor t**2 - 170*t + 7225.
(t - 85)**2
Let x**5/8 + 3*x**4/4 + 3*x**3/2 + x**2 = 0. Calculate x.
-2, 0
Solve -5*y**3 + 165*y**2 + 530*y + 360 = 0.
-2, -1, 36
Factor 2*r**2/3 - 16*r - 50/3.
2*(r - 25)*(r + 1)/3
Solve -2*o**2/3 + 8*o - 40/3 = 0.
2, 10
Suppose -c**4/2 + 85*c**3/2 + 353*c**2/2 + 267*c/2 = 0. What is c?
-3, -1, 0, 89
Factor -2*l**4/11 - 124*l**3/11 - 2834*l**2/11 - 28272*l/11 - 103968/11.
-2*(l + 12)**2*(l + 19)**2/11
Determine x, given that 9*x**2/2 - 731*x/2 + 81 = 0.
2/9, 81
Solve 2*a**3/3 + a**2/3 = 0.
-1/2, 0
Factor 3*u**2 - 12*u + 12.
3*(u - 2)**2
Factor 4*g**2 + 12*g - 72.
4*(g - 3)*(g + 6)
Let -4*w**2 - 528*w + 532 = 0. What is w?
-133, 1
Suppose -100*q**5 + 96*q**4 + 204*q**3 + 8*q**2 = 0. Calculate q.
-1, -1/25, 0, 2
Let 2*m**4 + 54*m**3 + 252*m**2 = 0. Calculate m.
-21, -6, 0
Find b, given that -4*b**5 + 12*b**4 + 52*b**3 - 156*b**2 - 144*b + 432 = 0.
-3, -2, 2, 3
Factor 3*m**5 + 6*m**4 - 3*m**3 - 6*m**2.
3*m**2*(m - 1)*(m + 1)*(m + 2)
Factor -14*l**2 + 32*l - 8.
-2*(l - 2)*(7*l - 2)
Factor 2*i**4 + 34*i**3 + 192*i**2 + 360*i.
2*i*(i + 5)*(i + 6)**2
Factor -5*r**2 + 55*r - 140.
-5*(r - 7)*(r - 4)
Determine b, given that 5*b**4 + 5*b**3 - 1055*b**2 - 2105*b - 1050 = 0.
-14, -1, 15
Solve -20*a**5 - 232*a**4 - 344*a**3 + 1856*a**2 - 1652*a + 392 = 0.
-7, 2/5, 1
Solve h**5/7 + 23*h**4/7 - 50*h**3/7 + 2*h**2/7 + 7*h - 25/7 = 0 for h.
-25, -1, 1
Factor -4*z**2 + 16*z - 12.
-4*(z - 3)*(z - 1)
Factor 9*m**4 - 69*m**3 + 177*m**2 - 171*m + 54.
3*(m - 3)**2*(m - 1)*(3*m - 2)
Determine m, given that -3*m**4 + 57*m**3 + 63*m**2 - 57*m - 60 = 0.
-1, 1, 20
Factor 4*k**4 - 20*k**3 + 16*k**2.
4*k**2*(k - 4)*(k - 1)
Solve -3*r**2/4 - 423*r/2 - 1242 = 0.
-276, -6
Factor 8*q**4 - 108*q**3 + 300*q**2 - 200*q.
4*q*(q - 10)*(q - 1)*(2*q - 5)
Factor 4*o**2 + 4*o - 24.
4*(o - 2)*(o + 3)
Solve x**4/11 - 10*x**3/11 + 20*x**2/11 + 10*x/11 - 21/11 = 0.
-1, 1, 3, 7
Determine u so that 185*u**3 - 2580*u**2 - 2915*u - 150 = 0.
-1, -2/37, 15
Solve -2*b**5 - 42*b**4 - 148*b**3 + 768*b**2 - 576*b = 0.
-12, 0, 1, 2
Solve 12*l**5 + 94*l**4 - 128*l**3 - 14*l**2 + 36*l = 0.
-9, -1/2, 0, 2/3, 1
Solve 70*z**5 + 365*z**4 + 625*z**3 + 350*z**2 - 20*z - 40 = 0 for z.
-2, -1, -1/2, 2/7
Solve f**4/3 + f**3 - 11*f**2/3 - f + 10/3 = 0