x/7 = 0?
-13/2, 0, 4
Find i, given that 5*i**3 + 155*i**2 + 295*i + 145 = 0.
-29, -1
Determine s, given that -s**2/6 - 62*s/3 - 41/2 = 0.
-123, -1
Factor -5*i**2/4 - 12*i + 5.
-(i + 10)*(5*i - 2)/4
Factor -x**2/6 + 5021*x/3 - 25210441/6.
-(x - 5021)**2/6
Solve -o**2 - 11*o + 900 = 0.
-36, 25
Suppose -27*z**5 + 6*z**4 + 27*z**3 - 6*z**2 = 0. What is z?
-1, 0, 2/9, 1
Factor 135*w**5 - 1134*w**4 + 2232*w**3 - 1840*w**2 + 688*w - 96.
(w - 6)*(3*w - 2)**3*(5*w - 2)
Determine r, given that 7*r**3/4 + 22*r**2 = 0.
-88/7, 0
Let -2*h**4/13 + 22*h**3/13 - 70*h**2/13 + 50*h/13 = 0. What is h?
0, 1, 5
Factor -w**4 - 41*w**3 + 177*w**2 - 135*w.
-w*(w - 3)*(w - 1)*(w + 45)
Find r, given that -2*r**3 + 6*r**2 + 108*r = 0.
-6, 0, 9
Factor b**5 - 3*b**4 - 10*b**3.
b**3*(b - 5)*(b + 2)
Factor 3*o**2 - 33*o - 36.
3*(o - 12)*(o + 1)
Factor -i**3 + 867*i**2 + 1737*i + 869.
-(i - 869)*(i + 1)**2
Suppose 3*j**2 - 699*j - 1410 = 0. What is j?
-2, 235
Factor r**3/3 + 89*r**2/3 + 935*r/3 + 847/3.
(r + 1)*(r + 11)*(r + 77)/3
Suppose 2*t**4/7 + 200*t**3 + 246394*t**2/7 + 487204*t/7 = 0. Calculate t.
-349, -2, 0
Factor w**4 + 8*w**3 + 18*w**2 + 16*w + 5.
(w + 1)**3*(w + 5)
Factor -a**2/3 - 10*a - 75.
-(a + 15)**2/3
Determine c so that -3*c**3/5 - 6*c**2/5 + 21*c/5 - 12/5 = 0.
-4, 1
Find c, given that -3*c**4/2 - 63*c**3/8 - 87*c**2/8 - 9*c/4 = 0.
-3, -2, -1/4, 0
Determine u, given that -2*u**4/3 - 10*u**3 + 82*u**2 - 146*u/3 - 140 = 0.
-21, -1, 2, 5
Factor -c**4/3 - c**3 + 16*c**2/3 - 4*c.
-c*(c - 2)*(c - 1)*(c + 6)/3
Factor -8*x**2 + 94*x + 24.
-2*(x - 12)*(4*x + 1)
Factor h**3/9 - 7*h**2/3 + 20*h/9.
h*(h - 20)*(h - 1)/9
Determine h so that 6*h**3 + 225*h**2 + 324*h = 0.
-36, -3/2, 0
Determine j so that j**5/4 + 35*j**4/4 + 321*j**3/4 + 221*j**2/4 - 289*j/2 = 0.
-17, -2, 0, 1
Find c such that 50*c**4/11 - 1800*c**3/11 - 3808*c**2/11 + 288*c/11 + 608/11 = 0.
-2, -2/5, 2/5, 38
Factor -n**2/6 + 92*n/3 - 4232/3.
-(n - 92)**2/6
Suppose -2*b**2/11 + 720*b/11 - 64800/11 = 0. What is b?
180
Factor -5*b**2 - 20040*b - 20080080.
-5*(b + 2004)**2
Let -k**3 - 118*k**2 - 3360*k + 7200 = 0. Calculate k.
-60, 2
Factor -2*l**5/3 + 76*l**4/3 - 182*l**3 - 1176*l**2.
-2*l**2*(l - 21)**2*(l + 4)/3
Find x such that -62*x**2/17 + 120*x/17 + 8/17 = 0.
-2/31, 2
Determine g so that -3*g**5 - 18*g**4 + 45*g**3 - 24*g**2 = 0.
-8, 0, 1
Factor j**2/4 - 112*j + 12544.
(j - 224)**2/4
Solve 21*i**5 + 99*i**4 + 138*i**3 + 36*i**2 - 24*i = 0 for i.
-2, -1, 0, 2/7
Factor 2*v**3/7 - 178*v**2/7 - 2*v/7 + 178/7.
2*(v - 89)*(v - 1)*(v + 1)/7
Factor -2*k**3/15 - 32*k**2/15 - 146*k/15 - 12.
-2*(k + 2)*(k + 5)*(k + 9)/15
Suppose -4*v**2 + 7008*v - 3069504 = 0. Calculate v.
876
Let -3*l**2 + 66*l + 144 = 0. What is l?
-2, 24
Factor -6*z**3/11 - 134*z**2/11 - 80*z - 1400/11.
-2*(z + 10)**2*(3*z + 7)/11
Factor 3*s**3 - 1200*s**2 + 2391*s - 1194.
3*(s - 398)*(s - 1)**2
Let -2*f**2 - 810*f - 4000 = 0. Calculate f.
-400, -5
Factor -35*n**4 - 130*n**3 - 65*n**2 + 30*n.
-5*n*(n + 1)*(n + 3)*(7*n - 2)
Factor -38*j**2 - 32*j + 6.
-2*(j + 1)*(19*j - 3)
Factor -7*a**2/9 - 86*a/9 + 200/9.
-(a - 2)*(7*a + 100)/9
Suppose -2*f**4/3 - 10*f**3/9 + 8*f**2/9 + 8*f/9 = 0. What is f?
-2, -2/3, 0, 1
Factor 3*s**5 - 6*s**4 - 12*s**3 + 24*s**2.
3*s**2*(s - 2)**2*(s + 2)
Factor 4*j**3 + 72*j**2 + 324*j.
4*j*(j + 9)**2
Factor b**2/4 - 153*b + 23409.
(b - 306)**2/4
Let -m**5 - 76*m**4 - 1873*m**3 - 13598*m**2 + 33124*m - 17576 = 0. Calculate m.
-26, 1
Find k, given that -3*k**2/2 - 69*k/2 - 168 = 0.
-16, -7
Find f, given that 2*f**4/5 + 148*f**3 - 9072*f**2/5 + 36544*f/5 - 48896/5 = 0.
-382, 4
Find p such that 3*p**3 + 33*p**2 + 120*p + 144 = 0.
-4, -3
What is z in 5*z**5 + 5*z**4 - 15*z**3 - 25*z**2 - 10*z = 0?
-1, 0, 2
Determine a, given that 2*a**2/19 + 306*a/19 - 620/19 = 0.
-155, 2
Factor -p**2 + 254*p - 16129.
-(p - 127)**2
Solve 3*d**5 - 12*d**4 + 3*d**3 + 18*d**2 = 0 for d.
-1, 0, 2, 3
Determine i so that i**2/2 + 487*i - 975/2 = 0.
-975, 1
Let 2*m**3/3 - 2*m**2/3 - 266*m/3 + 1274/3 = 0. What is m?
-13, 7
Factor 3*g**2/7 + 16245*g/7 - 16248/7.
3*(g - 1)*(g + 5416)/7
Let k**2 - 208*k + 816 = 0. What is k?
4, 204
Factor 2*q**3 + 22*q**2 - 2*q - 22.
2*(q - 1)*(q + 1)*(q + 11)
Solve -2*c**5 + 128*c**4 - 2642*c**3 + 15620*c**2 + 39688*c + 21296 = 0.
-1, 22
Factor 4*w**5 - 8*w**4 - 24*w**3 + 80*w**2 - 76*w + 24.
4*(w - 2)*(w - 1)**3*(w + 3)
Factor 2*y**5/15 + 128*y**4/15 + 1916*y**3/15 - 1408*y**2/5 + 726*y/5.
2*y*(y - 1)**2*(y + 33)**2/15
Factor 5*o**3 + 35*o**2 + 75*o + 45.
5*(o + 1)*(o + 3)**2
Factor -4*j**3/3 - 56*j**2/3 - 28*j/3 + 104.
-4*(j - 2)*(j + 3)*(j + 13)/3
Suppose 2*w**3/15 + 52*w**2/15 - 18*w/5 = 0. What is w?
-27, 0, 1
Let -8*m**5 + 30*m**4 + 24*m**3 - 92*m**2 - 96*m - 18 = 0. What is m?
-1, -1/4, 3
Factor f**5/3 + 2*f**4/3 - 7*f**3/3 + 4*f**2/3.
f**2*(f - 1)**2*(f + 4)/3
Factor 3*g**3 + 12*g**2 + 12*g.
3*g*(g + 2)**2
Determine p, given that -p**2/2 - 19*p/2 - 9 = 0.
-18, -1
Factor 15*w**4 + 17*w**3 - 9*w**2 - 9*w + 2.
(w + 1)**2*(3*w - 2)*(5*w - 1)
Solve -3*z**2/4 + 873*z/4 + 219 = 0.
-1, 292
What is z in -2*z**2 + 162*z + 164 = 0?
-1, 82
Factor 2*t**3/3 + 54*t**2 + 1458*t + 13122.
2*(t + 27)**3/3
Factor 2*y**3 + 616*y**2 - 2488*y + 2496.
2*(y - 2)**2*(y + 312)
Determine b so that 5*b**5 - 3200*b**4 + 515190*b**3 - 1020800*b**2 + 508805*b = 0.
0, 1, 319
Factor -4*c**3 + 160*c**2 + 4*c - 160.
-4*(c - 40)*(c - 1)*(c + 1)
Let 4*j**4 - 8*j**3 - 52*j**2 + 152*j - 96 = 0. Calculate j.
-4, 1, 2, 3
Factor -k**2/3 - 16*k/3 - 28/3.
-(k + 2)*(k + 14)/3
Determine h, given that -3*h**3/4 - 15*h**2/4 + 21*h/2 = 0.
-7, 0, 2
Find b such that 2*b**4/7 + 10*b**3/7 - 40*b/7 - 32/7 = 0.
-4, -2, -1, 2
Solve 5*c**4 - 5*c**3 - 5*c**2 + 5*c = 0.
-1, 0, 1
Determine q so that 3*q**4 - 60*q**3 - 723*q**2 - 1704*q - 1044 = 0.
-6, -2, -1, 29
Factor -o**3/4 + 7*o**2/4 + 9*o/2.
-o*(o - 9)*(o + 2)/4
Find w such that -w**2/2 - w/2 + 66 = 0.
-12, 11
Factor -2*n**5/15 - 76*n**4/15 - 312*n**3/5 - 676*n**2/3 + 4394*n/15.
-2*n*(n - 1)*(n + 13)**3/15
Determine k, given that -2*k**2/7 - 40*k/7 - 150/7 = 0.
-15, -5
Solve 2*o**4 + 18*o**3 + 12*o**2 - 32*o = 0.
-8, -2, 0, 1
Suppose -4*v**2 + 16112*v - 16224784 = 0. Calculate v.
2014
Find f, given that -16*f**2 - 4*f = 0.
-1/4, 0
Determine w so that -2*w**5/11 + 6*w**4/11 + 14*w**3/11 - 2*w**2 - 12*w/11 + 16/11 = 0.
-2, -1, 1, 4
Suppose -7*w**4/6 + 3*w**3/2 + 2*w**2 - 2*w/3 = 0. Calculate w.
-1, 0, 2/7, 2
Factor 2*q**5/3 - 2*q**4 - 10*q**3 - 34*q**2/3 - 4*q.
2*q*(q - 6)*(q + 1)**3/3
Solve 3*m**2/8 + 375*m/8 - 387/2 = 0 for m.
-129, 4
Factor s**2/4 - 13*s/4 + 10.
(s - 8)*(s - 5)/4
Solve -2*t**2 - 42*t - 40 = 0 for t.
-20, -1
Let 3*f**4/4 - 18*f**3 - 507*f**2/4 - 243*f - 135 = 0. Calculate f.
-3, -2, -1, 30
Factor 2*r**3/13 - 6*r**2/13 - 20*r/13.
2*r*(r - 5)*(r + 2)/13
Factor -3*s**3 - 3*s**2 + 3*s + 3.
-3*(s - 1)*(s + 1)**2
Factor c**4/2 + 21*c**3/2 + 73*c**2/2 + 87*c/2 + 17.
(c + 1)**2*(c + 2)*(c + 17)/2
Factor -3*d**2/2 + 135*d/2 + 294.
-3*(d - 49)*(d + 4)/2
Determine d so that -75*d**4/7 + 720*d**3/7 - 2223*d**2/7 + 2166*d/7 = 0.
0, 2, 19/5
Factor -2*p**3/9 + 2*p**2/3 + 2*p/9 - 2/3.
-2*(p - 3)*(p - 1)*(p + 1)/9
Find g, given that -g**2 - 456*g + 457 = 0.
-457, 1
Factor 4*i**4 - 8*i**3 + 8*i - 4.
4*(i - 1)**3*(i + 1)
Factor 2*a**2 + 454*a + 452.
2*(a + 1)*(a + 226)
Solve -q**3 + q**2 + 184*q - 364 = 0 for q.
-14, 2, 13
Let 4*n**4 + 8*n**3 - 700*n**2 - 4544*n - 3840 = 0. What is n?
-8, -1, 15
Factor 10*z**3/21 + 332*z**2/21 + 22*z/7.
2*z*(z + 33)*(5*z + 1)/21
Determine m, given that -m**5/5 + 4*m**4 + m**3/5 - 4*m**2 = 0.
-1, 0, 1, 20
Factor -g**2/2 + 45*g/2 - 162.
-(g - 36)*(g - 9)/2
Find g such that g**2/6 - 350*g/3 + 61250/3 = 0.
350
Determine l, given that -4*l**2 + 92*l + 96 = 0.
-1, 24
Let 92*z**5 - 260*z**4 + 251*z**3 - 86*z**2 - z + 4 = 0. What is z?
-4/23, 1/2, 1
Suppose -44*q**2/9 + 436*q/9 + 40/9 = 0. Calculate q.
-1/11, 10
Factor -2*r**2/3 + r/6 + 1/2.
-(r - 1)*(4*r + 3)/6
Suppose 3*u**2/7 - 216*u/7 - 219/7 = 0. What is u?
-1, 73
Solve 4*u**3/5 + 144*u**2/5 - 304*u/5 = 0.
-38, 0, 2
Factor -21*w**3/4 - 249*w**2/4 - 399*w/4 + 2205/4.
-3*(w + 7)**2*(7*w - 15)/4
Factor 5*w**4 - 205*w**3 + 2375*w**2 - 5415*w.
5*w*(w - 19)**2*(w - 3)
Factor 4*u**4 + 60*u**3 + 300*u**2 + 500*u.
4*u*(u + 5)**3
What is z i