 3
Determine q so that -2*q**5/3 - 150*q**4 - 25054*q**3/3 + 32810*q**2/3 + 139216*q + 510760/3 = 0.
-113, -2, 5
Find q such that 3*q**2 - 53*q - 56 = 0.
-1, 56/3
Suppose -p**3/5 - 38*p**2/5 - 201*p/5 - 288/5 = 0. What is p?
-32, -3
Factor v**2 - 5242*v + 6869641.
(v - 2621)**2
Determine z, given that -14*z**5/13 + 10*z**4/13 + 60*z**3/13 - 40*z**2/13 - 16*z/13 = 0.
-2, -2/7, 0, 1, 2
Determine b so that -5*b**3 - 50*b**2 + 685*b - 630 = 0.
-18, 1, 7
Factor -5*z**3 - 80*z**2 + 305*z + 380.
-5*(z - 4)*(z + 1)*(z + 19)
Factor j**4 - 5*j**3 - 6*j**2 + 32*j + 32.
(j - 4)**2*(j + 1)*(j + 2)
Factor -3*c**2/2 - 18*c + 42.
-3*(c - 2)*(c + 14)/2
Factor -2*y**3 - 50*y**2 - 286*y - 238.
-2*(y + 1)*(y + 7)*(y + 17)
Factor h**3 + 256*h**2 - 519*h - 774.
(h - 3)*(h + 1)*(h + 258)
Suppose -o**3/3 + 17*o**2/6 - 11*o/3 + 7/6 = 0. What is o?
1/2, 1, 7
Find u such that u**2/7 + 74*u/7 - 75/7 = 0.
-75, 1
What is p in -p**3/2 + p**2/2 + 5*p + 4 = 0?
-2, -1, 4
Factor 5*g**3 - 4415*g**2 + 972400*g + 976820.
5*(g - 442)**2*(g + 1)
Factor -2*n**2/9 - 8324*n/9 - 8661122/9.
-2*(n + 2081)**2/9
Factor -2*p**2/11 - 4*p/11 + 18.
-2*(p - 9)*(p + 11)/11
Factor 15*o**3 - 63*o**2/4 + 3*o/4.
3*o*(o - 1)*(20*o - 1)/4
Determine m, given that -125*m**4 + 1100*m**3 - 3620*m**2 + 5280*m - 2880 = 0.
2, 12/5
Suppose 3*y**5 + 18*y**4 + 39*y**3 + 36*y**2 + 12*y = 0. What is y?
-2, -1, 0
Factor -x**5/5 + x**4 - 9*x**3/5 + 7*x**2/5 - 2*x/5.
-x*(x - 2)*(x - 1)**3/5
Suppose 10*y**4 + 5*y**3 - 10*y**2 - 5*y = 0. What is y?
-1, -1/2, 0, 1
Factor -n**5 - 4*n**4 - 6*n**3 - 4*n**2 - n.
-n*(n + 1)**4
Determine z, given that z**2/4 - 413*z/2 + 825/4 = 0.
1, 825
Solve -2*c**4/5 + 146*c**3/5 + 14*c**2/5 - 202*c - 876/5 = 0 for c.
-2, -1, 3, 73
Factor 12*p**4 - 16*p**3 - 12*p**2 + 16*p.
4*p*(p - 1)*(p + 1)*(3*p - 4)
Factor -3*v**3/2 - 27*v**2/2 + 63*v/2 - 33/2.
-3*(v - 1)**2*(v + 11)/2
What is o in -o**5/2 + 11*o**4/2 - 17*o**3 + 7*o**2 + 35*o/2 - 25/2 = 0?
-1, 1, 5
Suppose -5*y**2 - 750*y - 28125 = 0. What is y?
-75
Find j, given that -2*j**4/7 + 166*j**3/7 + 6*j**2/7 - 502*j/7 + 332/7 = 0.
-2, 1, 83
Factor -3*f**4/5 + 3*f**3/5 + 12*f**2/5 - 12*f/5.
-3*f*(f - 2)*(f - 1)*(f + 2)/5
Solve n**3 + 683*n**2/3 + 376*n - 452/3 = 0 for n.
-226, -2, 1/3
Let -3*q**5/4 + 9*q**4/4 + 48*q**3 + 174*q**2 + 252*q + 132 = 0. Calculate q.
-2, 11
Determine s, given that 2*s**2/11 + 28*s/11 + 98/11 = 0.
-7
Determine u, given that -2*u**4 + 24*u**3 = 0.
0, 12
Factor -2*s**3/7 - 2*s**2/7 + 6*s + 90/7.
-2*(s - 5)*(s + 3)**2/7
Factor -i**3 + 11*i**2/6 + i/3.
-i*(i - 2)*(6*i + 1)/6
Factor -m**2/8 - 71*m/8.
-m*(m + 71)/8
Factor 2*n**3/3 - 88*n**2/3 + 170*n/3 - 28.
2*(n - 42)*(n - 1)**2/3
Factor 4*k**5 + 16*k**4 + 24*k**3 + 16*k**2 + 4*k.
4*k*(k + 1)**4
Solve -k**5/3 + 38*k**4/3 + 334*k**3/3 - 848*k**2/3 - 111*k + 270 = 0 for k.
-9, -1, 1, 2, 45
Find v such that 2*v**3/3 + 2*v**2 - 2*v/3 - 2 = 0.
-3, -1, 1
Factor 3*t**5 + 25*t**4 + 27*t**3 - 9*t**2 - 14*t.
t*(t + 1)**2*(t + 7)*(3*t - 2)
Solve -3*m**5 - 294*m**4 - 5583*m**3 + 79380*m**2 - 218700*m = 0.
-54, 0, 5
Find d such that 5*d**2 + 23300*d + 27144500 = 0.
-2330
Factor a**4/6 + a**3/3 - 2*a**2/3 - a/3 + 1/2.
(a - 1)**2*(a + 1)*(a + 3)/6
Determine w so that -6*w**2/11 - 738*w/11 - 132 = 0.
-121, -2
Solve -6*r**3/5 + 9*r**2 + 6*r/5 - 9 = 0 for r.
-1, 1, 15/2
Determine f so that -2*f**2 - 2*f + 12 = 0.
-3, 2
Find u, given that 108*u**3 - 100*u**2 - 8*u = 0.
-2/27, 0, 1
What is l in -l**4/4 + 11*l**3/4 - 5*l**2/2 = 0?
0, 1, 10
Suppose 5*j**5 - 105*j**4 - 85*j**3 + 1965*j**2 - 3880*j + 2100 = 0. Calculate j.
-5, 1, 2, 21
Factor 2*w**3/13 - 176*w**2/13 - 2*w/13 + 176/13.
2*(w - 88)*(w - 1)*(w + 1)/13
What is x in -4*x**3 + 24*x**2 - 44*x + 24 = 0?
1, 2, 3
Factor s**2 + 511*s - 512.
(s - 1)*(s + 512)
Find u such that -u**5/2 + 6*u**4/5 + u**3/10 - 6*u**2/5 + 2*u/5 = 0.
-1, 0, 2/5, 1, 2
Let c**3/3 - c**2/3 - 5*c/3 - 1 = 0. Calculate c.
-1, 3
Find o, given that -3*o**4 + 51*o**2 - 48 = 0.
-4, -1, 1, 4
Factor -f**2 - 1072*f - 287296.
-(f + 536)**2
Factor -x**2 - 250*x - 249.
-(x + 1)*(x + 249)
Find b, given that -8*b**5/3 + 4*b**4 - 5*b**3/6 - b**2/2 = 0.
-1/4, 0, 3/4, 1
What is n in 3*n**3/5 + 15*n**2 + 129*n/5 - 207/5 = 0?
-23, -3, 1
Determine w so that w**3 - 1268*w**2 + 400685*w + 806450 = 0.
-2, 635
Let 34*d**5/5 - 72*d**4/5 - 128*d**3/5 + 84*d**2/5 + 94*d/5 - 12/5 = 0. Calculate d.
-1, 2/17, 1, 3
Suppose -5*g**5/2 - 145*g**4 - 680*g**3 - 935*g**2 - 795*g/2 = 0. Calculate g.
-53, -3, -1, 0
Find d, given that 5*d**3 - 105*d**2 + 600*d - 500 = 0.
1, 10
Factor 344*q**2/9 - 50*q/3 + 16/9.
2*(4*q - 1)*(43*q - 8)/9
Let -4*q**4/7 + 30*q**3/7 - 6*q**2/7 - 62*q/7 + 6 = 0. What is q?
-3/2, 1, 7
Determine m, given that -2*m**3/11 + 256*m**2/11 - 8442*m/11 + 15876/11 = 0.
2, 63
Solve -2*t**3/17 + 6*t**2/17 + 20*t/17 = 0.
-2, 0, 5
Let -5*m**2 + 70*m + 4255 = 0. Calculate m.
-23, 37
Find l, given that 3*l**2 + 96*l + 768 = 0.
-16
What is v in -2*v**5/9 - 2*v**4/9 + 2*v**3 - 22*v**2/9 + 8*v/9 = 0?
-4, 0, 1
Factor -h**2/2 + 187*h.
-h*(h - 374)/2
Factor z**5 - 90*z**4 + 177*z**3 - 88*z**2.
z**2*(z - 88)*(z - 1)**2
Factor -3*s**3 + 27*s**2 + 360*s + 816.
-3*(s - 17)*(s + 4)**2
Find q, given that -q**2/3 + 28*q/3 + 29/3 = 0.
-1, 29
Factor 2*l**4/5 + 2*l**3/5 - 4*l**2/5.
2*l**2*(l - 1)*(l + 2)/5
Factor -2*i**2 - 9*i - 4.
-(i + 4)*(2*i + 1)
Factor q**2/2 - 214*q - 1293/2.
(q - 431)*(q + 3)/2
Factor -4*v**2/5 - 112*v/5 - 108/5.
-4*(v + 1)*(v + 27)/5
Solve 10*w**4/9 - 44*w**3/9 - 34*w**2/9 + 20*w/9 = 0 for w.
-1, 0, 2/5, 5
Factor 2*w**2 + 7296*w - 7298.
2*(w - 1)*(w + 3649)
Factor -g**4 - 9*g**3 - 15*g**2 - 7*g.
-g*(g + 1)**2*(g + 7)
Factor 26*o**3/11 - 82*o**2/11 + 12*o/11.
2*o*(o - 3)*(13*o - 2)/11
Factor 4*x**3/7 - 184*x**2/7 - 380*x/7 - 192/7.
4*(x - 48)*(x + 1)**2/7
Let k**5/5 + 21*k**4/5 + 158*k**3/5 + 94*k**2 + 45*k - 175 = 0. What is k?
-7, -5, 1
Factor 2*s**2/3 - 22*s/3 + 20/3.
2*(s - 10)*(s - 1)/3
Find x, given that -2*x**4 - 11224*x**3 - 15758492*x**2 - 31483320*x - 15736050 = 0.
-2805, -1
Let -w**4/3 + 82*w**3 + 248*w**2/3 - 82*w - 247/3 = 0. What is w?
-1, 1, 247
Factor -3*f**2/5 - 12*f - 153/5.
-3*(f + 3)*(f + 17)/5
Let 2*q**5/9 - 4*q**4/9 - 74*q**3/3 - 24*q**2 = 0. Calculate q.
-9, -1, 0, 12
Factor 26*h**2 - 482*h - 228.
2*(h - 19)*(13*h + 6)
Factor 3*f**3 - 94*f**2/5 + 144*f/5 - 32/5.
(f - 4)*(f - 2)*(15*f - 4)/5
What is z in -4*z**2 + 348*z = 0?
0, 87
What is m in -3*m**5 + 18*m**3 - 24*m**2 + 9*m = 0?
-3, 0, 1
Factor 5*d**5 - 45*d**3 - 20*d**2 + 60*d.
5*d*(d - 3)*(d - 1)*(d + 2)**2
Factor 4*q**4 + 76*q**3 - 84*q**2 - 76*q + 80.
4*(q - 1)**2*(q + 1)*(q + 20)
Determine k, given that k**5 + 10*k**4 + 31*k**3 + 26*k**2 - 28*k - 40 = 0.
-5, -2, 1
Let 5*o**2 + 4170*o + 869445 = 0. What is o?
-417
Determine x so that -2*x**2/7 - 38*x/7 = 0.
-19, 0
Suppose 4*v**3 + 228*v**2 - 1480*v + 2016 = 0. Calculate v.
-63, 2, 4
Suppose 4*z**4 - 28*z**3 + 60*z**2 - 52*z + 16 = 0. What is z?
1, 4
Solve -13*u**3/5 + 11*u**2/5 + 158*u/5 + 24/5 = 0 for u.
-3, -2/13, 4
Find j such that -2*j**3 + 82*j**2 + 84*j = 0.
-1, 0, 42
Solve -8*u**5 - 44*u**4 + 272*u**3 + 164*u**2 - 144*u = 0.
-9, -1, 0, 1/2, 4
Factor -3*q**2 + 348*q - 345.
-3*(q - 115)*(q - 1)
Find n such that -6*n**5/11 + 30*n**4 - 5010*n**3/11 + 13110*n**2/11 - 12480*n/11 + 4056/11 = 0.
1, 26
Factor 2*t**3/9 + 98*t**2/9 + 320*t/3 + 296.
2*(t + 6)**2*(t + 37)/9
Suppose 4*x**3/3 - 548*x**2/3 + 360*x = 0. What is x?
0, 2, 135
Factor -2*f**3/13 - 666*f**2/13 - 55110*f/13 + 55778/13.
-2*(f - 1)*(f + 167)**2/13
What is l in 5*l**4 - 30*l**2 - 40*l - 15 = 0?
-1, 3
Solve 4*j**3 - 304*j**2 + 1712*j - 2240 = 0.
2, 4, 70
Factor -i**4/4 - 9*i**3/4 + 11*i**2/4 + 9*i/4 - 5/2.
-(i - 1)**2*(i + 1)*(i + 10)/4
Let 2*x**3 - 464*x**2 - 1880*x - 1888 = 0. What is x?
-2, 236
Factor n**5 + 3*n**4 - 12*n**3 - 52*n**2 - 48*n.
n*(n - 4)*(n + 2)**2*(n + 3)
What is f in -147*f**5 - 1680*f**4 - 1944*f**3 + 1536*f**2 - 240*f = 0?
-10, -2, 0, 2/7
Factor -z**2/4 - 91*z/2 - 178.
-(z + 4)*(z + 178)/4
Factor 4*r**2 + 104*r + 100.
4*(r + 1)*(r + 25)
Factor -r**2 - 13*r - 30.
-(r + 3)*(r + 10)
Factor a**5/3 - 2965*a**4/3 + 2928430*a**3/3 - 961495910*a**2/3 - 1931788975*a/3 - 967361669/3.
(a - 989)**3*(a + 1)**2/3
What is z in -z**5/6 - 5*z**4/3 - 29*z**3/6 - 16*z**2/3 - 2*z = 0?
-6