mine r so that 2*r**3/15 + 2*r**2/5 + 4*r/15 = 0.
-2, -1, 0
What is h in 3*h**2 - 3255*h + 6498 = 0?
2, 1083
What is m in 2*m**2/13 + 10368*m/13 + 13436928/13 = 0?
-2592
Factor -2*d**3 + 204*d**2 + 210*d - 412.
-2*(d - 103)*(d - 1)*(d + 2)
Determine u so that 6*u**5/5 + 114*u**4/5 + 72*u**3/5 - 648*u**2/5 = 0.
-18, -3, 0, 2
Factor 20*z**2 + 45*z + 10.
5*(z + 2)*(4*z + 1)
Find j, given that 2*j**2 + 14*j + 20 = 0.
-5, -2
Suppose 729*h**4 - 11421*h**3/2 - 3861*h**2/4 - 431*h/8 - 1 = 0. What is h?
-1/18, 8
Solve -2*c**5 - 320*c**4 - 294*c**3 + 3808*c**2 - 1304*c - 5088 = 0 for c.
-159, -4, -1, 2
Factor -3*o**4 + 3*o**3 + 123*o**2 + 333*o + 216.
-3*(o - 8)*(o + 1)*(o + 3)**2
Factor -3*k**2 + 621*k + 624.
-3*(k - 208)*(k + 1)
Solve 3*r**2/4 + 114*r + 4332 = 0 for r.
-76
Factor -21*b**2 - 48*b - 12.
-3*(b + 2)*(7*b + 2)
What is g in g**3 - 20*g**2 + 116*g - 160 = 0?
2, 8, 10
What is j in -32*j**5/13 - 752*j**4/13 + 1198*j**3/13 - 62*j**2/13 - 302*j/13 - 50/13 = 0?
-25, -1/4, 1
Factor -t**4/3 + 151*t**3/3 - 1823*t**2 - 17479*t/3 - 11858/3.
-(t - 77)**2*(t + 1)*(t + 2)/3
Factor -6*l**2/5 - 1624*l/5 - 329672/15.
-2*(3*l + 406)**2/15
Solve -5*w**3 + 595*w**2 - 2275*w - 2875 = 0.
-1, 5, 115
Factor 2*d**2/3 - 88*d/3.
2*d*(d - 44)/3
Let 6*j**4/5 + 1323*j**3/5 + 3933*j**2/5 + 3921*j/5 + 261 = 0. What is j?
-435/2, -1
Determine l so that -5*l**3 - 180*l**2 + 380*l = 0.
-38, 0, 2
Suppose l**4/4 - 7*l**3/4 - 9*l**2/4 + 7*l/4 + 2 = 0. What is l?
-1, 1, 8
Factor 5*f**3 + 3*f**2 - 2*f.
f*(f + 1)*(5*f - 2)
Factor y**3/6 - 35*y**2/3 + 704*y/3 - 1024.
(y - 32)**2*(y - 6)/6
Solve -35*g**3 - 515*g**2 - 340*g + 140 = 0.
-14, -1, 2/7
What is q in 5*q**5 - 190*q**4 + 1805*q**3 = 0?
0, 19
Factor 3*h**3/4 - 27*h**2 + 567*h/4 - 405/2.
3*(h - 30)*(h - 3)**2/4
Factor 33708*f**2/7 + 636*f/7 + 3/7.
3*(106*f + 1)**2/7
Find d such that 444*d**4 + 880*d**3 + 428*d**2 - 8*d = 0.
-1, 0, 2/111
Suppose 507*p**3 + 58851*p**2 - 54648*p + 12636 = 0. What is p?
-117, 6/13
Find j, given that -2*j**3/3 - 76*j**2/3 = 0.
-38, 0
Suppose -d**3/3 + 58*d**2/3 - 147*d = 0. What is d?
0, 9, 49
Factor 4*v**4 + 40*v**3 - 12*v**2 - 112*v + 80.
4*(v - 1)**2*(v + 2)*(v + 10)
Factor -i**2 - 11*i.
-i*(i + 11)
Factor -4*t**3 - 120*t**2.
-4*t**2*(t + 30)
Factor 1369*d**4 - 8436*d**3 + 13662*d**2 - 2052*d + 81.
(d - 3)**2*(37*d - 3)**2
Factor 4*s**4 - 44*s**3 - 48*s**2.
4*s**2*(s - 12)*(s + 1)
Factor -m**4/6 + m**3 + 14*m**2/3 - 20*m - 48.
-(m - 6)**2*(m + 2)*(m + 4)/6
Factor -y**2 + 5*y - 4.
-(y - 4)*(y - 1)
Determine w, given that 4*w**2/7 - 4*w/7 - 8/7 = 0.
-1, 2
Determine j, given that 35*j**5 + 325*j**4 + 930*j**3 + 940*j**2 + 200*j = 0.
-5, -2, -2/7, 0
Determine k, given that 3*k**3/4 + 117*k**2/2 = 0.
-78, 0
Factor 2*y**4/7 + 2*y**3 + 12*y**2/7.
2*y**2*(y + 1)*(y + 6)/7
Factor 298*b**2/3 + 300*b + 6.
2*(b + 3)*(149*b + 3)/3
Factor 3*p**2 - 2016*p.
3*p*(p - 672)
Let i**4 - 6*i**3 + 11*i**2 - 6*i = 0. What is i?
0, 1, 2, 3
Factor 4*d**5 - 2028*d**4 + 258060*d**3 - 256036*d**2.
4*d**2*(d - 253)**2*(d - 1)
Determine n so that 20*n**3 + 1015*n**2 + 745*n - 250 = 0.
-50, -1, 1/4
Factor -121*r**4/3 + 26180*r**3/3 - 1420852*r**2/3 + 171360*r - 15552.
-(r - 108)**2*(11*r - 2)**2/3
What is g in g**5/3 - 20*g**4/3 + 42*g**3 - 268*g**2/3 + 233*g/3 - 24 = 0?
1, 8, 9
Find p such that 8*p**4/19 + 130*p**3/19 - 1504*p**2/19 - 384*p/19 = 0.
-24, -1/4, 0, 8
Find s such that 4*s**4 - 164*s**3 - 4*s**2 + 164*s = 0.
-1, 0, 1, 41
What is a in -9*a**3 - 165*a**2 - 783*a - 243 = 0?
-9, -1/3
Solve x**4/11 + 7*x**3/11 = 0 for x.
-7, 0
Determine u so that -3*u**5/2 + 229*u**4/4 + 49*u**3 - 39*u**2/4 = 0.
-1, 0, 1/6, 39
What is u in u**5/6 + 43*u**4/6 - 68*u**3 = 0?
-51, 0, 8
Factor 5*c**4 + 25*c**3 - 30*c**2.
5*c**2*(c - 1)*(c + 6)
Suppose 2*n**2 - 62*n + 456 = 0. Calculate n.
12, 19
Suppose 2*j**2/3 - 152*j + 8664 = 0. What is j?
114
Factor 4*m**5 - 60*m**4 + 108*m**3 - 52*m**2.
4*m**2*(m - 13)*(m - 1)**2
Factor y**2 + 136*y - 137.
(y - 1)*(y + 137)
Factor 5*q**2/2 + 90*q - 185/2.
5*(q - 1)*(q + 37)/2
Factor -a**2/4 - 13*a - 169.
-(a + 26)**2/4
Factor -d**2/4 - 497*d/2 - 247009/4.
-(d + 497)**2/4
Factor -5*n**5 + 5*n**4 + 25*n**3 + 15*n**2.
-5*n**2*(n - 3)*(n + 1)**2
Suppose 3*b**2 - 2007*b - 2010 = 0. Calculate b.
-1, 670
Solve -3*q**4/5 + 3*q**3 + 18*q**2/5 = 0 for q.
-1, 0, 6
What is j in 7*j**4/2 + 120*j**3 + 1083*j**2/2 + 145*j = 0?
-29, -5, -2/7, 0
Find p such that -15761198*p**3/3 + 158404*p**2 - 1592*p + 16/3 = 0.
2/199
Find x, given that x**5/2 - 13*x**4/2 - 15*x**3/2 + 297*x**2/2 + 189*x - 324 = 0.
-3, 1, 6, 12
Find z such that 5*z**2 + 30*z + 40 = 0.
-4, -2
Factor 4*o**4/5 - 212*o**3/5.
4*o**3*(o - 53)/5
Factor -58*w**4/15 + 70*w**3/3 - 236*w**2/5 + 488*w/15 - 16/15.
-2*(w - 2)**3*(29*w - 1)/15
Suppose 3*p**3/7 + 3*p**2/7 - 48*p/7 - 48/7 = 0. Calculate p.
-4, -1, 4
Suppose -s**2/4 - 4899*s/2 - 24000201/4 = 0. What is s?
-4899
Factor 2*o**2 - 160*o + 3200.
2*(o - 40)**2
Determine x so that 3*x**3/5 + 3*x**2 - 42*x/5 = 0.
-7, 0, 2
Solve -10*w**4 + 64*w**3 + 426*w**2 - 680*w + 200 = 0.
-5, 2/5, 1, 10
Factor 4*z**4/5 + 19968*z**3/5 + 37380096*z**2/5 + 31100239872*z/5 + 9703274840064/5.
4*(z + 1248)**4/5
Factor -p**3/5 - 28*p**2/5 - 119*p/5 - 92/5.
-(p + 1)*(p + 4)*(p + 23)/5
Factor m**3 + 12*m**2 + 45*m + 54.
(m + 3)**2*(m + 6)
Factor 2*j**3/7 + 4*j**2/7 - 30*j/7.
2*j*(j - 3)*(j + 5)/7
Solve v**5 - 40*v**4 + 399*v**3 + 40*v**2 - 400*v = 0.
-1, 0, 1, 20
Suppose -3*p**4 - 69*p**3 - 180*p**2 + 12*p + 240 = 0. What is p?
-20, -2, 1
Factor 25*j**5/8 + 55*j**4/4 + 39*j**3/2 + 9*j**2.
j**2*(j + 2)*(5*j + 6)**2/8
Find n, given that -3*n**2/4 - 9*n + 21 = 0.
-14, 2
Suppose -5*m**2 + 300*m - 4500 = 0. What is m?
30
What is y in -5*y**2 + 2150*y - 231125 = 0?
215
Solve -2*p**5 + 46*p**4 - 382*p**3 + 1394*p**2 - 2208*p + 1152 = 0.
1, 3, 8
Factor -a**2/3 - a/3 + 2/3.
-(a - 1)*(a + 2)/3
Factor -3*b**3 + 3*b**2 + 15*b + 9.
-3*(b - 3)*(b + 1)**2
Factor 4*p**2 - 20*p + 16.
4*(p - 4)*(p - 1)
Factor 5*y**2/2 + 195*y + 7605/2.
5*(y + 39)**2/2
What is a in -9*a**4/2 + 618*a**3 - 21011*a**2 - 14214*a - 4761/2 = 0?
-1/3, 69
Let k**2/4 + 4*k - 57/4 = 0. Calculate k.
-19, 3
Factor -4*y**3 - 216*y**2 - 3300*y - 10000.
-4*(y + 4)*(y + 25)**2
Factor 3*d**2 + 147*d - 3618.
3*(d - 18)*(d + 67)
Solve b**2 - 21*b - 46 = 0 for b.
-2, 23
Solve -4*v**2 - 6024*v - 2268036 = 0.
-753
Factor x**4 - 4*x**3 - 10*x**2 + 28*x - 15.
(x - 5)*(x - 1)**2*(x + 3)
Determine b, given that 3*b**2/4 + 549*b + 100467 = 0.
-366
Factor s**2/7 + 239*s/7 - 240/7.
(s - 1)*(s + 240)/7
Factor 4*v**5 + 7*v**4 - 18*v**3 - 28*v**2 + 8*v.
v*(v - 2)*(v + 2)**2*(4*v - 1)
Factor -m**2/4 - 171*m/4.
-m*(m + 171)/4
Find d such that 4*d**4/7 - 8*d**3/7 - 12*d**2/7 + 32*d/7 - 16/7 = 0.
-2, 1, 2
Determine w, given that -3*w**4 + 18*w**3 + 51*w**2 - 18*w - 48 = 0.
-2, -1, 1, 8
Factor -4*g**4 - 128*g**3 - 1148*g**2 - 784*g + 16464.
-4*(g - 3)*(g + 7)*(g + 14)**2
Factor -2*f**2 - 44*f + 96.
-2*(f - 2)*(f + 24)
What is l in 6*l**3 - 176*l**2 + 1230*l + 900 = 0?
-2/3, 15
Find j such that 2*j**3/7 - 134*j**2 + 112288*j/7 - 538240/7 = 0.
5, 232
Let 10*i**4 - 1416*i**3 + 2232*i**2 + 1120*i = 0. Calculate i.
-2/5, 0, 2, 140
Factor -4*q**3 - 20*q**2 + 88*q - 64.
-4*(q - 2)*(q - 1)*(q + 8)
Let 4*b**4 - 11*b**3 + 9*b**2 - b - 1 = 0. Calculate b.
-1/4, 1
Factor -15*b**2 - 11920*b + 3975.
-5*(b + 795)*(3*b - 1)
Factor -y**4/5 - 7*y**3 + 3*y**2/5 + 107*y/5 + 14.
-(y - 2)*(y + 1)**2*(y + 35)/5
Factor -5*a**5 + 45*a**4 + 165*a**3 + 175*a**2 + 60*a.
-5*a*(a - 12)*(a + 1)**3
Factor -2*m**2/9 + 2*m/3 + 4.
-2*(m - 6)*(m + 3)/9
What is r in -3*r**3/8 + 39*r**2/8 + 366*r - 741/2 = 0?
-26, 1, 38
Let -2*l**3/17 + 54*l**2/17 - 6*l + 50/17 = 0. What is l?
1, 25
Factor -3*d**2 - 39*d + 1014.
-3*(d - 13)*(d + 26)
Factor -5*s**4 - 100*s**3 + 105*s**2.
-5*s**2*(s - 1)*(s + 21)
Factor 2*a**3/3 - 4*a**2/3 - 8*a/3 + 16/3.
2*(a - 2)**2*(a + 2)/3
Find x such that 2*x**3 - 20*x**2 = 0.
0, 10
Factor 2*t**3/7 + 36*t**2/7 - 80*t.
2*t*(t - 10)*(t + 28)/7
Factor -d**4 - 33*d**3 + 69*d**2 - 35*d.
-d*(d - 1)**2*(d + 35)
Solve -h**2 - 123*h = 0 for h.
-123, 0
Solve 3*g**3 + 78*g**2 - 81*g = 0 for g.
-27, 0, 1
Solve -2*d**5/15 + 22*d**4/5 + 104*d**3/15 - 224*d**2/3 - 1152*d/5 - 544/3 = 0 for d.
-2, 5, 34
Factor 2*v**3 + 52*v**2 - 1