*2/5 + 274*k/5 + 273/5.
(k + 1)*(k + 273)/5
Factor 3*d**2 + 12*d - 63.
3*(d - 3)*(d + 7)
What is i in 2*i**5/21 - 50*i**4/21 - 2*i**3/21 + 50*i**2/21 = 0?
-1, 0, 1, 25
Factor 3*m**3 - 141*m**2 + 138*m.
3*m*(m - 46)*(m - 1)
Factor -2*n**4/7 - 11*n**3/7 + 43*n**2/7 + 24*n/7.
-n*(n - 3)*(n + 8)*(2*n + 1)/7
Solve -i**4/4 - 325*i**3/4 - 34989*i**2/4 - 1223743*i/4 + 1295029/2 = 0.
-109, 2
Find b such that -2*b**5/7 - 4*b**4/7 + 4*b**3/7 + 16*b**2/7 + 2*b + 4/7 = 0.
-1, 2
Find k such that -2*k**2/21 - 48*k - 1006/21 = 0.
-503, -1
Solve -t**3/4 + 255*t**2 - 261117*t/4 + 259081/2 = 0 for t.
2, 509
Factor -l**5 + 34*l**4 - 123*l**3 + 90*l**2.
-l**2*(l - 30)*(l - 3)*(l - 1)
Find i such that -3*i**2 + 282*i - 4752 = 0.
22, 72
Determine i, given that 2*i**3/5 - 6*i**2/5 - 8*i/5 = 0.
-1, 0, 4
Suppose -2*y**2/7 - 8*y/7 = 0. What is y?
-4, 0
Factor -t**4 - t**3 + 17*t**2 + 21*t - 36.
-(t - 4)*(t - 1)*(t + 3)**2
What is k in -60*k**4 - 18575*k**3 + 7760*k**2 + 3100*k = 0?
-310, -1/4, 0, 2/3
Factor 2*x**2/3 + 186*x + 556/3.
2*(x + 1)*(x + 278)/3
Factor w**2/3 + 121*w/3 - 122/3.
(w - 1)*(w + 122)/3
Factor -3*w**3/4 - 33*w**2/2 + 225*w/4.
-3*w*(w - 3)*(w + 25)/4
Suppose -2*t**3/5 + 144*t**2/5 = 0. What is t?
0, 72
Determine j so that -j**2/2 + 27*j + 55/2 = 0.
-1, 55
Factor -4*t**3/5 - 16*t**2/5 + 4*t/5 + 16/5.
-4*(t - 1)*(t + 1)*(t + 4)/5
Let -w**4/2 + 7*w**3 - 36*w**2 + 80*w - 64 = 0. What is w?
2, 4
Find j such that 2*j**5/9 - 28*j**4/9 + 122*j**3/9 - 56*j**2/3 + 8*j = 0.
0, 1, 6
Factor 12*z**3 - 28*z**2 + 8*z.
4*z*(z - 2)*(3*z - 1)
Let -2*n**2/7 + 36*n/7 + 38/7 = 0. What is n?
-1, 19
Suppose -r**3/9 - 55*r**2/9 + 233*r/9 - 59/3 = 0. What is r?
-59, 1, 3
Find b such that -2*b**4/9 + 8*b**3/9 + 8*b**2/3 = 0.
-2, 0, 6
Let -2*k**3 - 6*k**2 + 48*k + 160 = 0. What is k?
-4, 5
Factor 5*p**5 - 50*p**4 + 165*p**3 - 200*p**2 + 80*p.
5*p*(p - 4)**2*(p - 1)**2
Factor -9*a**2/7 + 893*a/7 - 198/7.
-(a - 99)*(9*a - 2)/7
Find c, given that 2*c**4/5 - 58*c**3/5 + 114*c**2 - 2198*c/5 + 2548/5 = 0.
2, 7, 13
What is w in 2*w**5 - 6*w**4 - 12*w**3 + 16*w**2 = 0?
-2, 0, 1, 4
Factor -2*z**5/9 - 10*z**4/9 - 16*z**3/9 - 8*z**2/9.
-2*z**2*(z + 1)*(z + 2)**2/9
Factor -5*i**2 + 45*i + 2210.
-5*(i - 26)*(i + 17)
Let 5*o**4 - 20*o**3 - 275*o**2 - 250*o = 0. What is o?
-5, -1, 0, 10
Suppose -2*z**5/11 + 16*z**4/11 - 46*z**3/11 + 56*z**2/11 - 24*z/11 = 0. What is z?
0, 1, 2, 3
Suppose -363*u**3 - 1914*u**2 + 1536*u - 288 = 0. What is u?
-6, 4/11
Let -4*a**3/3 + 7*a**2/3 = 0. What is a?
0, 7/4
Factor -p**4/3 + 152*p**3/3 + 463*p**2/3 + 310*p/3.
-p*(p - 155)*(p + 1)*(p + 2)/3
Factor 3*g**2 - 15*g - 42.
3*(g - 7)*(g + 2)
Factor 125*q**5/2 + 36325*q**4 + 5299780*q**3 + 6324904*q**2 + 2525320*q + 336400.
(q + 290)**2*(5*q + 2)**3/2
Suppose p**3/3 - 31*p**2/2 + 263*p/3 - 40 = 0. What is p?
1/2, 6, 40
Factor -4*h**4 + 200*h**3 - 1476*h**2 - 432*h + 17712.
-4*(h - 41)*(h - 6)**2*(h + 3)
Let -n**4/4 + 11*n**3/2 + 31*n**2/4 - 373*n + 360 = 0. Calculate n.
-8, 1, 9, 20
Find s such that 5*s**5 - 25*s**4 - 95*s**3 + 145*s**2 + 210*s = 0.
-3, -1, 0, 2, 7
Factor -2*p**2/3 - 40*p/3 - 24.
-2*(p + 2)*(p + 18)/3
Factor 2*p**5 - 202*p**4 + 6932*p**3 - 85140*p**2 + 150282*p - 71874.
2*(p - 33)**3*(p - 1)**2
Solve 3*d**5 - 27*d**4 + 42*d**3 = 0 for d.
0, 2, 7
Determine b so that -2*b**3/7 + 29690*b**2/7 - 110201856*b/7 + 110172168/7 = 0.
1, 7422
Factor 2*g**2 + 294*g.
2*g*(g + 147)
Factor -2*y**5/21 - 4*y**4/21 - 2*y**3/21.
-2*y**3*(y + 1)**2/21
Suppose 3*j**2/4 - 3*j/2 - 18 = 0. What is j?
-4, 6
Factor -4*k**5/3 - 52*k**4/3 - 160*k**3/3 - 48*k**2.
-4*k**2*(k + 2)**2*(k + 9)/3
Find q such that -2*q**3/5 + 52*q**2 + 262*q/5 = 0.
-1, 0, 131
Solve -5*j**4 - 20*j**3 + 30*j**2 + 20*j - 25 = 0 for j.
-5, -1, 1
Factor 3*d**5/8 + 21*d**4/8 + 33*d**3/8 + 15*d**2/8.
3*d**2*(d + 1)**2*(d + 5)/8
Factor -c**4 + 11*c**3 + 341*c**2 - 711*c + 360.
-(c - 24)*(c - 1)**2*(c + 15)
Factor 4*t**3/9 - 376*t**2/9 + 484*t/3 - 120.
4*(t - 90)*(t - 3)*(t - 1)/9
Let 3*k**4 - 15*k**3 + 9*k**2 + 15*k - 12 = 0. Calculate k.
-1, 1, 4
Find t such that -5*t**2/6 - 710*t/3 - 1415/6 = 0.
-283, -1
Factor -2*h**5/7 - 12*h**4/7 - 18*h**3/7 - 8*h**2/7.
-2*h**2*(h + 1)**2*(h + 4)/7
Find m, given that -2*m**5/7 + 22*m**4/7 + 6*m**3/7 - 62*m**2/7 - 44*m/7 = 0.
-1, 0, 2, 11
Determine g, given that 42*g**3/13 + 10*g**2 + 12*g/13 = 0.
-3, -2/21, 0
Suppose d**5/7 - 18*d**4/7 + 25*d**3/7 + 108*d**2/7 + 64*d/7 = 0. What is d?
-1, 0, 4, 16
Determine z so that 6*z**4/7 + 60*z**3/7 - 18*z**2 - 708*z/7 - 528/7 = 0.
-11, -2, -1, 4
Let q**2/2 - 261*q + 520 = 0. What is q?
2, 520
Factor -5*t**3 - 10*t**2 + 65*t - 50.
-5*(t - 2)*(t - 1)*(t + 5)
Factor 12*j**2 - 21*j - 6.
3*(j - 2)*(4*j + 1)
Factor -5*c**2 + 90*c - 160.
-5*(c - 16)*(c - 2)
Factor 2*t**4 + 112*t**3 + 624*t**2 + 1216*t + 800.
2*(t + 2)**3*(t + 50)
Factor 2*c**3/7 + 276*c**2/7 - 558*c/7 + 40.
2*(c - 1)**2*(c + 140)/7
Solve 2*h**3/5 + 4*h**2/5 - 2*h/5 - 4/5 = 0.
-2, -1, 1
Solve -900*f**4/7 - 60*f**3 + 411*f**2/7 - 66*f/7 + 3/7 = 0 for f.
-1, 1/10, 1/3
What is x in 2*x**5/19 - 22*x**4/19 - 86*x**3/19 + 22*x**2/19 + 84*x/19 = 0?
-3, -1, 0, 1, 14
Suppose -36*l**4 - 9384*l**3 + 60620*l**2 - 68272*l + 21360 = 0. Calculate l.
-267, 2/3, 5
Solve -4*p**3/5 + 8*p**2 - 52*p/5 - 96/5 = 0 for p.
-1, 3, 8
Solve -12482*d**2/13 + 1580*d/13 - 50/13 = 0 for d.
5/79
Factor -y**2/4 - 13*y/4 + 1107/2.
-(y - 41)*(y + 54)/4
Suppose -5*q**3 - 70*q**2 - 325*q - 500 = 0. Calculate q.
-5, -4
Find k such that -2*k**2/11 + 3474*k/11 = 0.
0, 1737
Determine x so that 5*x**4/4 - 165*x**3/4 - 5*x**2/4 + 165*x/4 = 0.
-1, 0, 1, 33
Factor z**3/3 + 20*z**2/3 - 217*z/3 + 196/3.
(z - 7)*(z - 1)*(z + 28)/3
Factor 4*t**4/5 + 24*t**3/5 + 36*t**2/5.
4*t**2*(t + 3)**2/5
What is p in -35*p**2 + 1705*p + 490 = 0?
-2/7, 49
Determine y, given that y**3/2 - 49*y**2/2 + 304*y - 280 = 0.
1, 20, 28
Factor 2*g**3 - 144*g**2 + 142*g.
2*g*(g - 71)*(g - 1)
Find p, given that 4*p**5 + 480*p**4 + 19188*p**3 + 255512*p**2 = 0.
-41, -38, 0
Factor 2*l**3 - 8*l**2 - 2*l + 8.
2*(l - 4)*(l - 1)*(l + 1)
Solve -2*s**2/7 + 16*s/7 + 18/7 = 0 for s.
-1, 9
Find m such that -m**4/2 - m**3 + 3*m**2/2 = 0.
-3, 0, 1
Factor 2*l**2 - 14*l + 12.
2*(l - 6)*(l - 1)
Let 2*q**4/5 - 2*q**3 + 16*q**2/5 - 8*q/5 = 0. What is q?
0, 1, 2
Find t, given that -5*t**2 + 36670*t - 67234445 = 0.
3667
Let -2*j**2 + 196*j + 198 = 0. Calculate j.
-1, 99
Factor 2*w**2/23 - 56*w/23 + 54/23.
2*(w - 27)*(w - 1)/23
Suppose -2*t**2 - 552*t + 2240 = 0. What is t?
-280, 4
Factor -2*g**3 - 98*g**2 + 320*g + 416.
-2*(g - 4)*(g + 1)*(g + 52)
Factor 2*p**3/3 + 4*p**2/3 - 14*p/3 + 8/3.
2*(p - 1)**2*(p + 4)/3
Determine i so that -2*i**2/5 - 884*i/5 - 352 = 0.
-440, -2
Determine d, given that -4*d**3/7 + 340*d**2 + 1024*d + 4784/7 = 0.
-2, -1, 598
Factor 2*d**4/9 - 28*d**3/9 + 50*d**2/9 - 8*d/3.
2*d*(d - 12)*(d - 1)**2/9
Solve -2*p**2 - 1678*p - 1676 = 0 for p.
-838, -1
Find u such that -3*u**4 + 45*u**3 + 9*u**2 - 141*u + 90 = 0.
-2, 1, 15
Factor 4*k**4 - 48*k**3 + 180*k**2 - 200*k.
4*k*(k - 5)**2*(k - 2)
Let 5*b**2 + 603*b - 242 = 0. What is b?
-121, 2/5
Factor -2*x**4 + 10*x**3 + 12*x**2.
-2*x**2*(x - 6)*(x + 1)
Factor 2*q**4 - 192*q**3 + 4608*q**2.
2*q**2*(q - 48)**2
Determine v, given that -2*v**3/15 - 4502*v**2/15 - 2526734*v/15 + 2540258/5 = 0.
-1127, 3
Factor 4*d**2/3 - 12936*d + 31376268.
4*(d - 4851)**2/3
Suppose -3*c**4/2 - 954*c**3 - 152637*c**2 - 302418*c - 301467/2 = 0. What is c?
-317, -1
Find t such that -2*t**5/7 - 40*t**4/7 + 2*t**3/7 + 40*t**2/7 = 0.
-20, -1, 0, 1
Let -3*z**4 - 30*z**3 + 12*z**2 + 120*z = 0. Calculate z.
-10, -2, 0, 2
Determine t, given that -2*t**2/13 - 426*t/13 + 860/13 = 0.
-215, 2
Suppose 2*h**2 - 10*h = 0. What is h?
0, 5
What is k in -2*k**5/9 + 16*k**4/9 - 28*k**3/9 - 16*k**2/9 + 10*k/3 = 0?
-1, 0, 1, 3, 5
Factor -5*k**2 - 7240*k - 2620880.
-5*(k + 724)**2
Factor -h**4/3 - 2*h**3.
-h**3*(h + 6)/3
Factor -5*d**2 - 65*d.
-5*d*(d + 13)
Factor -4*s**4 + 56*s**3 - 156*s**2 - 216*s.
-4*s*(s - 9)*(s - 6)*(s + 1)
Let -r**3 + 221*r**2 = 0. What is r?
0, 221
Find n such that -3*n**4 + 243*n**3 - 708*n**2 + 468*n = 0.
0, 1, 2, 78
Find u, given that -7*u**4/10 + 29*u**3/2 - 651*u**2/10 - 209*u/2 - 121/5 = 0.
-1, -2/7, 11
Factor -3*i**5/7 + 12*i**4/7 + 54*i**3/7 + 60*i**2/7 + 3*i