*n**2/17 - 336*n/17 + 328/17 = 0?
2, 41
Solve 2*r**2/5 - 2056*r/5 - 824 = 0 for r.
-2, 1030
Factor -2*y**2 + 476*y - 474.
-2*(y - 237)*(y - 1)
Factor 9*u**2 - 41*u + 20.
(u - 4)*(9*u - 5)
Factor -4*j**2 + 24*j + 108.
-4*(j - 9)*(j + 3)
Find k such that -50*k**3/3 - 4*k**2/3 + 800*k/3 + 64/3 = 0.
-4, -2/25, 4
Factor -5*p**3 + 125*p**2 - 875*p + 1875.
-5*(p - 15)*(p - 5)**2
Find w such that 4*w**5 - 16*w**3 - 8*w**2 + 12*w + 8 = 0.
-1, 1, 2
Factor w**4/6 - 2*w**3/3 - 15*w**2/2 + 98*w/3 - 98/3.
(w - 7)*(w - 2)**2*(w + 7)/6
Factor h**5 - 3*h**4 + h**3 + 3*h**2 - 2*h.
h*(h - 2)*(h - 1)**2*(h + 1)
Find z, given that 2*z**3/7 - 8*z**2/7 - 10*z/7 = 0.
-1, 0, 5
Factor p**4/4 - 5*p**3/2 + 33*p**2/4 - 11*p + 5.
(p - 5)*(p - 2)**2*(p - 1)/4
Factor -4*d**4/7 + 32*d**3/7 - 64*d**2/7.
-4*d**2*(d - 4)**2/7
Solve 2*i**3 - 32*i**2 + 130*i - 100 = 0 for i.
1, 5, 10
Factor -i**4/4 + 11*i**3/4 - 19*i**2/4 + 9*i/4.
-i*(i - 9)*(i - 1)**2/4
Suppose -5*g**4 - 20*g**3 + 35*g**2 + 50*g = 0. Calculate g.
-5, -1, 0, 2
Factor 3*w**2 + 99*w + 270.
3*(w + 3)*(w + 30)
Suppose -4*p**2/3 - 262*p/15 - 26/15 = 0. What is p?
-13, -1/10
Let 2*s**3 + 16*s**2 - 426*s + 1080 = 0. Calculate s.
-20, 3, 9
Suppose -5*y**2/2 + 125*y + 255/2 = 0. What is y?
-1, 51
Factor o**2 + 13*o - 14.
(o - 1)*(o + 14)
Let 2*q**2/3 - 86*q/3 = 0. Calculate q.
0, 43
Factor 8*f**3/3 + 96*f**2 - 306*f + 234.
2*(f + 39)*(2*f - 3)**2/3
Determine j, given that -4*j**5/11 - 90*j**4/11 - 412*j**3/11 - 672*j**2/11 - 448*j/11 - 102/11 = 0.
-17, -3, -1, -1/2
Suppose -6*u**5 - 87*u**4 - 24*u**3 + 249*u**2 - 48*u - 84 = 0. Calculate u.
-14, -2, -1/2, 1
Suppose 14*v**4 - 118*v**3 + 876*v**2/7 + 712*v/7 + 16 = 0. Calculate v.
-2/7, 2, 7
Factor -2*d**3 - 8*d**2 - 6*d.
-2*d*(d + 1)*(d + 3)
What is x in 4*x**4/7 - 100*x**3/7 + 92*x**2/7 + 100*x/7 - 96/7 = 0?
-1, 1, 24
Find z such that -3*z**5 + 54*z**4 - 330*z**3 + 900*z**2 - 1107*z + 486 = 0.
1, 2, 3, 9
Solve t**4/2 - 55*t**3/3 + 132*t**2 - 304*t + 448/3 = 0.
2/3, 4, 28
Find x, given that -13*x**5/2 - 246*x**4 - 196*x**3 + 283*x**2 + 405*x/2 - 37 = 0.
-37, -1, 2/13, 1
Factor 5*r**4 + 455*r**3 - 465*r**2 - 455*r + 460.
5*(r - 1)**2*(r + 1)*(r + 92)
Let f**2/4 + f/2 + 1/4 = 0. What is f?
-1
Find p such that -5*p**3 - 55*p**2 - 90*p = 0.
-9, -2, 0
Factor -5*b**2 + 50*b + 595.
-5*(b - 17)*(b + 7)
Let -z**3/10 - 61*z**2/10 - 96*z - 90 = 0. What is z?
-30, -1
Let 3*s**2 + 309*s + 606 = 0. What is s?
-101, -2
Factor -4*z**3 - 8*z**2 - 4*z.
-4*z*(z + 1)**2
Find c, given that -c**3 + 83*c**2 + 344*c + 348 = 0.
-2, 87
Suppose -5*q**4 - 40*q**3 - 30*q**2 + 200*q - 125 = 0. What is q?
-5, 1
Find t, given that 30*t**4 + 52*t**3 - 264*t**2 + 48*t + 64 = 0.
-4, -2/5, 2/3, 2
Factor 2*f**3/7 + 32*f**2/7 + 26*f/7 - 60/7.
2*(f - 1)*(f + 2)*(f + 15)/7
Factor 2*u**3 - 54*u**2 - 56*u.
2*u*(u - 28)*(u + 1)
Find k, given that 2*k**3/9 + 4*k**2/3 - 10*k/3 - 200/9 = 0.
-5, 4
Find x, given that -5*x**2 + 415*x + 850 = 0.
-2, 85
Factor 2*u**5/9 + 8*u**4/3 - 68*u**3/9 - 1624*u**2/9 - 1274*u/3 + 5488/9.
2*(u - 8)*(u - 1)*(u + 7)**3/9
Factor -36*a**4 + 132*a**3 + 224*a**2 + 80*a.
-4*a*(a - 5)*(3*a + 2)**2
Suppose 2*d**4 - 4*d**3 - 2*d**2 + 4*d = 0. Calculate d.
-1, 0, 1, 2
Factor 3*i**3/8 + 15*i**2/2 + 18*i - 216.
3*(i - 4)*(i + 12)**2/8
Suppose -5*s**3 - 20*s**2 - 15*s = 0. Calculate s.
-3, -1, 0
What is g in 180*g**3/7 - 582*g**2/7 + 60*g + 48/7 = 0?
-1/10, 4/3, 2
Factor 3*s**4/8 - 21*s**3/4 + 21*s**2/2 + 45*s.
3*s*(s - 10)*(s - 6)*(s + 2)/8
Solve 18*a**2 - 40*a + 8 = 0.
2/9, 2
Factor -4*a**2/3 + 2312*a/3 - 334084/3.
-4*(a - 289)**2/3
Suppose 92*s**2 + 6064*s - 528 = 0. What is s?
-66, 2/23
Find g such that g**4/2 + 40*g**3 - g**2/2 - 40*g = 0.
-80, -1, 0, 1
Factor l**2/2 + 133*l + 524.
(l + 4)*(l + 262)/2
Determine x so that 4*x**2 - 792*x + 39204 = 0.
99
Find k, given that 2*k**2/15 + 138*k/5 + 412/15 = 0.
-206, -1
Let 3*a**4 + 12*a**3 + 15*a**2 + 6*a = 0. What is a?
-2, -1, 0
Let 2*j**2/9 + 68*j/3 + 202/9 = 0. What is j?
-101, -1
Let 3*g**4/8 - 9*g**3/4 - 3*g**2/8 + 9*g/4 = 0. Calculate g.
-1, 0, 1, 6
Factor 2*l**3/11 + 14*l**2/11.
2*l**2*(l + 7)/11
Solve 3*g**4 - 6*g**3 - 45*g**2 = 0.
-3, 0, 5
Determine f so that 3*f**2/7 + 1518*f/7 = 0.
-506, 0
Suppose 2*p**2 - 210*p + 208 = 0. What is p?
1, 104
Factor 4*t**2/7 + 176*t/7 + 180.
4*(t + 9)*(t + 35)/7
Suppose -2*a**4/7 + 4*a**3 + 310*a**2/7 + 888*a/7 + 792/7 = 0. Calculate a.
-3, -2, 22
Factor s**5/9 - 5*s**4/9 + s**3/9 + 17*s**2/9 - 22*s/9 + 8/9.
(s - 4)*(s - 1)**3*(s + 2)/9
Factor -4*w**4 + 4*w**3 + 40*w**2 + 32*w.
-4*w*(w - 4)*(w + 1)*(w + 2)
Determine k, given that k**4/3 + 130*k**3/9 + 1487*k**2/9 + 532*k/3 - 196 = 0.
-21, -2, 2/3
Solve j**3/7 - 11*j**2/7 + 34*j/7 - 24/7 = 0 for j.
1, 4, 6
Determine g, given that -5*g**4 + 20*g**3 - 15*g**2 = 0.
0, 1, 3
Find y such that -4*y**2/3 + y + 1/3 = 0.
-1/4, 1
Suppose 4*f**2 - 276*f + 2160 = 0. Calculate f.
9, 60
Let 2*m**5/3 - 28*m**4/3 + 122*m**3/3 - 232*m**2/3 + 200*m/3 - 64/3 = 0. Calculate m.
1, 2, 8
Factor -2*p**3 + 10*p**2 - 14*p + 6.
-2*(p - 3)*(p - 1)**2
Factor -q**2/3 + 11*q + 70/3.
-(q - 35)*(q + 2)/3
Find a such that a**2 - 160*a - 161 = 0.
-1, 161
Let 50*u**3/11 + 540*u**2/11 + 408*u/11 + 80/11 = 0. What is u?
-10, -2/5
Factor -2*v**3 + 4*v**2 + 6*v.
-2*v*(v - 3)*(v + 1)
Suppose i**2 - 31*i - 140 = 0. What is i?
-4, 35
Factor -10000*z**5 - 16000*z**4 + 7400*z**3 - 1160*z**2 + 79*z - 2.
-(z + 2)*(10*z - 1)**4
What is c in -2*c**3 + 314*c**2 + 634*c + 318 = 0?
-1, 159
Solve -4*s**2 - 16*s + 240 = 0.
-10, 6
What is a in -a**3 + 4*a = 0?
-2, 0, 2
Factor 2*d**3/9 + 3668*d**2/9 + 1222*d/3.
2*d*(d + 1)*(d + 1833)/9
Find q such that -q**4/4 + 127*q**3/4 + 65*q**2/2 - 64*q = 0.
-2, 0, 1, 128
Let 7*u**5/4 + 43*u**4/4 + 69*u**3/4 + 37*u**2/4 + u = 0. Calculate u.
-4, -1, -1/7, 0
Find h such that -3*h**5/4 + 15*h**4 - 81*h**3/2 + 39*h**2 - 51*h/4 = 0.
0, 1, 17
Solve -q**3/5 + q**2/5 + 2*q/5 = 0.
-1, 0, 2
Factor 3*c**3 - 3*c**2 - 27*c + 27.
3*(c - 3)*(c - 1)*(c + 3)
Find i, given that -3*i**3 - 1617*i**2 = 0.
-539, 0
Factor -3*w**2 - 57*w - 54.
-3*(w + 1)*(w + 18)
Factor i**5 + 32*i**4 - 4*i**3 - 128*i**2.
i**2*(i - 2)*(i + 2)*(i + 32)
Solve -2*u**5/11 + 26*u**4 - 9166*u**3/11 - 6938*u**2 - 94800*u/11 + 180000/11 = 0 for u.
-4, 1, 75
Determine k, given that -2*k**2 - 48*k - 190 = 0.
-19, -5
Factor 2*m**4 - 18*m**3 - 22*m**2 + 18*m + 20.
2*(m - 10)*(m - 1)*(m + 1)**2
Determine a so that 2*a**2/5 + 6*a/5 - 8/5 = 0.
-4, 1
Factor 1244*t**2 - 2476*t - 24.
4*(t - 2)*(311*t + 3)
Factor 5*r**4 + 970*r**3 + 51645*r**2 + 446200*r + 1058000.
5*(r + 5)**2*(r + 92)**2
Suppose 3*q**5 + 6*q**4 - 156*q**3 + 282*q**2 - 135*q = 0. Calculate q.
-9, 0, 1, 5
Factor -2*c**4 + 586*c**3 + 1772*c**2 + 1184*c.
-2*c*(c - 296)*(c + 1)*(c + 2)
Determine h, given that 5*h**2 - 1310*h - 5320 = 0.
-4, 266
What is n in -2*n**3/7 - 24*n**2/7 - 54*n/7 + 80/7 = 0?
-8, -5, 1
Factor y**4 + 19*y**3 + 64*y**2 + 60*y.
y*(y + 2)**2*(y + 15)
Solve 4*b**3/7 - 96*b**2/7 + 48*b - 320/7 = 0 for b.
2, 20
What is z in -z**2/2 + 45*z/2 + 23 = 0?
-1, 46
Factor -4*k**5 - 88*k**4 - 560*k**3 - 800*k**2.
-4*k**2*(k + 2)*(k + 10)**2
Factor -8*h**4 - 38*h**3 + 58*h**2 - 12*h.
-2*h*(h - 1)*(h + 6)*(4*h - 1)
Find d such that 4*d**5/9 - 86*d**4/9 + 8*d**3/3 + 386*d**2/9 - 160*d/9 - 56/3 = 0.
-2, -1/2, 1, 2, 21
Let -25*m**2 + 45*m = 0. What is m?
0, 9/5
Factor -2*v**3/9 - 78*v**2 - 9126*v - 355914.
-2*(v + 117)**3/9
Suppose 4*d**3/13 - 10*d**2/13 - 6*d/13 = 0. Calculate d.
-1/2, 0, 3
Determine w, given that w**2/6 + 314*w/3 + 49298/3 = 0.
-314
Factor g**2/2 + 1734*g.
g*(g + 3468)/2
Factor -i**2/2 + 29*i - 420.
-(i - 30)*(i - 28)/2
Suppose -3*v**5/2 + 6*v**4 - 9*v**3/2 - 6*v**2 + 6*v = 0. Calculate v.
-1, 0, 1, 2
Solve 2*f**2 + 222*f + 1260 = 0 for f.
-105, -6
Solve 4*a**5 + 24*a**4 - 32*a**3 - 24*a**2 + 28*a = 0.
-7, -1, 0, 1
Factor -16*r**2/7 + 34*r/7 - 4/7.
-2*(r - 2)*(8*r - 1)/7
Let -2*s**4 - 32*s**3 - 126*s**2 = 0. Calculate s.
-9, -7, 0
Factor -4*f**3/9 + 8*f**2/9 + 80*f/9 + 32/3.
-4*(f - 6)*(f + 2)**2/9
Solve -q**3/3 - 4*q**2 - 17*q/3 + 30 = 0 for q.
-9, -5, 2
Factor -2*c**5/3 - 16*c**4 - 46*c**3/3.
-2*c**3*(c + 1)*(c + 23)/3
Factor -2*t**4/11 + 8*t**3/11 - 8*t**2/11.
-2*t**2*(t - 2)**2/11
Factor -3*i**3/7 - 141*i**2/7 - 39*i - 135/7.
-3*(i + 1)**2*(