0, 5
Let 3*i**2 + 651*i - 1314 = 0. What is i?
-219, 2
Factor 4*a**5 - 56*a**4 - 128*a**3 - 8*a**2 + 124*a + 64.
4*(a - 16)*(a - 1)*(a + 1)**3
Factor -2*s**3/9 - 2*s**2/9 + 8*s/3.
-2*s*(s - 3)*(s + 4)/9
Factor 9*l**4/2 + 51*l**3/2 - 13*l**2 - 22*l + 12.
(l + 1)*(l + 6)*(3*l - 2)**2/2
Find f such that 2*f**5/21 - 456*f**4/7 + 103968*f**3/7 - 7901568*f**2/7 = 0.
0, 228
Suppose 2*w**3 + 570*w**2 + 39744*w - 124416 = 0. What is w?
-144, 3
Suppose 2*c**4/7 + 16*c**3/7 + 34*c**2/7 + 20*c/7 = 0. What is c?
-5, -2, -1, 0
Solve -5*g**4/4 - 105*g**3/4 + 2325*g**2/4 - 12875*g/4 + 5625 = 0.
-36, 5
Solve w**3/2 + 13*w**2/2 + 17*w - 24 = 0 for w.
-8, -6, 1
Factor 2*x**3 - 304*x**2.
2*x**2*(x - 152)
What is n in n**3 + 18*n**2 + 33*n + 16 = 0?
-16, -1
Find z, given that -z**2/5 - 36*z/5 - 99/5 = 0.
-33, -3
Find y such that -2*y**5/5 + 46*y**4/5 - 406*y**3/5 + 1682*y**2/5 - 624*y + 360 = 0.
1, 5, 6
Factor 2*q**3/5 - 114*q**2/5 + 288*q + 1080.
2*(q - 30)**2*(q + 3)/5
Suppose -2*w**3 - 20*w**2 - 34*w - 16 = 0. Calculate w.
-8, -1
Factor 2*z**5 + 30*z**4 + 150*z**3 + 290*z**2 + 240*z + 72.
2*(z + 1)**3*(z + 6)**2
Suppose -51*y**2/4 + 72*y + 1539/4 = 0. Calculate y.
-57/17, 9
Find i, given that 2*i**4 - 196*i**3 + 944*i**2 - 1308*i + 558 = 0.
1, 3, 93
Factor 4*j**2/3 - 80*j/3 + 48.
4*(j - 18)*(j - 2)/3
Solve -n**4/4 + 5*n**3/4 - 3*n**2/2 - n + 2 = 0 for n.
-1, 2
Factor 2*u**4/13 - 644*u**3/13 + 56738*u**2/13 - 788256*u/13 + 2996352/13.
2*(u - 153)**2*(u - 8)**2/13
Find o such that o**4/6 - 11*o**3/6 - 20*o**2/3 - 14*o/3 = 0.
-2, -1, 0, 14
Factor -u**3/3 + 209*u**2/3 + 421*u/3 + 211/3.
-(u - 211)*(u + 1)**2/3
Factor 4*x**2/5 - 14*x/5 - 8/5.
2*(x - 4)*(2*x + 1)/5
Factor 4*d**2/5 + 64*d/5 - 144/5.
4*(d - 2)*(d + 18)/5
Factor v**2 + 2*v - 3.
(v - 1)*(v + 3)
Solve -4*p**5/5 + 352*p**4/5 - 2016*p**3/5 + 3976*p**2/5 - 3292*p/5 + 984/5 = 0 for p.
1, 3, 82
Solve 3*k**4/2 - 9*k**3 + 18*k**2 - 15*k + 9/2 = 0.
1, 3
Suppose -z**2/9 - 70*z/9 = 0. What is z?
-70, 0
Factor -16*k**5 - 56*k**4 - 73*k**3 - 43*k**2 - 11*k - 1.
-(k + 1)**3*(4*k + 1)**2
Find a such that 2*a**4 + 70*a**3 + 836*a**2 + 3648*a + 2880 = 0.
-12, -10, -1
Factor -2*v**3 + 80*v**2 - 934*v + 2584.
-2*(v - 19)*(v - 17)*(v - 4)
What is v in 5*v**2 - 305*v + 1890 = 0?
7, 54
Find q such that q**4 + q**3/2 - 9*q**2/2 - 2*q + 2 = 0.
-2, -1, 1/2, 2
What is s in -2*s**2 - 3104*s - 1204352 = 0?
-776
Let -3*q**2 - 12822*q - 13700307 = 0. Calculate q.
-2137
Factor 3*h**2/7 + 72*h/7 + 27.
3*(h + 3)*(h + 21)/7
Solve 2*d**4/5 + 156*d**3/5 = 0 for d.
-78, 0
Let f**4 + 77*f**3 - 240*f**2 + 4*f + 320 = 0. Calculate f.
-80, -1, 2
Let 2*x**2/7 + 492*x/7 - 1494/7 = 0. Calculate x.
-249, 3
Factor 2*c**3 - 200*c**2 + 1850*c - 4500.
2*(c - 90)*(c - 5)**2
Determine f so that -25*f**3/4 + 727*f**2/4 + 173*f - 15 = 0.
-1, 2/25, 30
Solve 2*s**2/5 + 794*s/5 + 792/5 = 0 for s.
-396, -1
What is c in 20*c**5 + 125*c**4 - 2390*c**3 + 3595*c**2 + 1050*c = 0?
-15, -1/4, 0, 2, 7
Factor -c**3/4 - 11*c**2/4 + 14*c - 15.
-(c - 2)**2*(c + 15)/4
Find o such that 3*o**4/2 - 3*o**2/2 = 0.
-1, 0, 1
Suppose 2*k**5/7 - 16*k**4/7 + 26*k**3/7 - 12*k**2/7 = 0. Calculate k.
0, 1, 6
What is g in -3*g**5/7 - 159*g**4/7 + 849*g**3/7 - 1209*g**2/7 + 522*g/7 = 0?
-58, 0, 1, 3
Factor 1764*s**3 - 15792*s**2 - 755*s - 9.
(s - 9)*(42*s + 1)**2
Find m such that -8*m**5 + 14*m**4 + 4*m**3 = 0.
-1/4, 0, 2
Let 4*g**2 + 768*g - 1552 = 0. Calculate g.
-194, 2
Factor r**5/4 + r**4/4 - 5*r**3/4 + 3*r**2/4.
r**2*(r - 1)**2*(r + 3)/4
Determine p so that 2*p**3 + 444*p**2 + 882*p + 440 = 0.
-220, -1
Factor q**3 - 22*q**2 - 29*q + 138.
(q - 23)*(q - 2)*(q + 3)
Factor 3*m**2 + 309*m - 630.
3*(m - 2)*(m + 105)
Factor 13*l**2 - 596*l + 1140.
(l - 2)*(13*l - 570)
Factor 3*s**3/2 - 150*s**2 - 1881*s/2 - 1431.
3*(s - 106)*(s + 3)**2/2
Let 2*b**4/9 - 14*b**3/3 + 30*b**2 - 550*b/9 = 0. Calculate b.
0, 5, 11
Determine a, given that -5*a**4 - 5*a**3 + 150*a**2 = 0.
-6, 0, 5
Solve -2*h**3/11 + 24*h**2/11 + 2*h/11 - 24/11 = 0 for h.
-1, 1, 12
Let -2*s**2 - 26*s - 44 = 0. Calculate s.
-11, -2
Factor u**5/6 + 5*u**4/3 + 4*u**3 + 11*u**2/3 + 7*u/6.
u*(u + 1)**3*(u + 7)/6
Let -16*m**5 - 36*m**4 + 200*m**3 + 660*m**2 + 536*m + 96 = 0. What is m?
-3, -2, -1, -1/4, 4
What is j in -2*j**2/3 + 24*j - 162 = 0?
9, 27
Factor c**5 + 94*c**4 + 3001*c**3 + 37224*c**2 + 156816*c.
c*(c + 11)**2*(c + 36)**2
Factor -2*o**3 - 58*o**2 - 156*o.
-2*o*(o + 3)*(o + 26)
Find c such that 4*c**2/9 - 776*c/3 + 37636 = 0.
291
Determine m, given that -2*m**2/7 + 3316*m/7 - 6624/7 = 0.
2, 1656
Find p such that p**3 - 4*p**2/5 - 61*p/5 - 12/5 = 0.
-3, -1/5, 4
Find p such that -16*p**3/5 - 212*p**2/5 + 172*p/5 + 56/5 = 0.
-14, -1/4, 1
What is o in 15*o**4 + 65*o**3 + 5*o**2 - 65*o - 20 = 0?
-4, -1, -1/3, 1
Find s, given that s**5/5 - 8*s**4/5 - 24*s**3/5 + 382*s**2/5 - 229*s + 210 = 0.
-7, 2, 3, 5
Find p, given that -5*p**5 + 70*p**4 - 125*p**3 + 60*p**2 = 0.
0, 1, 12
What is r in -28*r**2/9 + 38*r/9 - 10/9 = 0?
5/14, 1
Factor 8*t**3/5 - 122*t**2/5 + 4*t + 30.
2*(t - 15)*(t + 1)*(4*t - 5)/5
Determine p so that -5*p**2 + 740*p = 0.
0, 148
Factor 2*l**2/13 + 2712*l/13 + 919368/13.
2*(l + 678)**2/13
Determine i so that i**2/3 - 1268*i/3 + 401956/3 = 0.
634
Determine f, given that f**4/6 + 67*f**3/6 - 211*f**2/6 - 67*f/6 + 35 = 0.
-70, -1, 1, 3
Determine p so that -p**5 + 8*p**4 + 90*p**3 - 648*p**2 - 729*p = 0.
-9, -1, 0, 9
What is q in 2*q**4/5 + 8*q**3 + 264*q**2/5 + 128*q + 512/5 = 0?
-8, -2
Determine p so that -189*p**5/4 - 591*p**4 - 2865*p**3/4 + 1575*p**2/2 + 501*p + 66 = 0.
-11, -2, -2/7, -2/9, 1
Let -2*k**2/7 + 352*k/7 - 15488/7 = 0. What is k?
88
Suppose 2*n**3/5 - 64*n**2/5 + 166*n/5 + 232/5 = 0. What is n?
-1, 4, 29
Determine d so that 7*d**4 - 12*d**3 - 53*d**2 - 42*d - 8 = 0.
-1, -2/7, 4
Factor m**4 + 3*m**3 + m**2 - 3*m - 2.
(m - 1)*(m + 1)**2*(m + 2)
Let 3*c**4 + 12606*c**3 + 13255203*c**2 + 26472600*c + 13230000 = 0. Calculate c.
-2100, -1
Determine h so that h**5/5 - 7*h**4/5 - 4*h**3/5 + 112*h**2/5 - 192*h/5 = 0.
-4, 0, 3, 4
Solve 9*q**3/7 - 4062*q**2/7 - 2711*q/7 - 452/7 = 0.
-1/3, 452
What is d in -4*d**3 + 48*d**2 + 108*d - 1944 = 0?
-6, 9
Factor 4*n**5 + 4*n**4 - 12*n**3 - 20*n**2 - 8*n.
4*n*(n - 2)*(n + 1)**3
Factor 3*k**5/4 - 13*k**4/4 + 17*k**3/4 - 3*k**2/4 - 2*k + 1.
(k - 2)*(k - 1)**3*(3*k + 2)/4
Suppose -y**2/4 - 41*y/2 = 0. Calculate y.
-82, 0
Find t, given that -2*t**5/7 + 2*t**3 - 4*t**2/7 - 24*t/7 + 16/7 = 0.
-2, 1, 2
Factor 4*w**2 - 264*w - 268.
4*(w - 67)*(w + 1)
Factor -5*n**2 - 45*n + 110.
-5*(n - 2)*(n + 11)
Factor -5*b**3 + 20*b**2 - 25*b + 10.
-5*(b - 2)*(b - 1)**2
Let -3*g**5/4 + 333*g**4/4 - 4533*g**3/2 - 2520*g**2 + 4704*g = 0. What is g?
-2, 0, 1, 56
Solve 2*m**4 + 12*m**3 + 8*m**2 - 48*m - 64 = 0.
-4, -2, 2
Solve o**3/4 - 9*o**2/2 + 33*o/4 - 4 = 0 for o.
1, 16
Let 2*k**2/15 - 80*k + 1198/15 = 0. What is k?
1, 599
Factor -y**3/4 + 357*y**2/4 - 32391*y/4 + 93987/4.
-(y - 177)**2*(y - 3)/4
Factor c**3/3 - 2*c**2 - c/3 + 2.
(c - 6)*(c - 1)*(c + 1)/3
Suppose 2500*d**3/3 - 100*d**2/3 + d/3 = 0. What is d?
0, 1/50
Find y, given that 25*y**2/4 + 9435*y + 3560769 = 0.
-3774/5
Factor 14*m**3 + 94*m**2 - 280*m + 72.
2*(m - 2)*(m + 9)*(7*m - 2)
Factor -252*y**2 - 90*y - 2.
-2*(3*y + 1)*(42*y + 1)
Factor m**3/8 + 1245*m**2/4 + 516675*m/2 + 71473375.
(m + 830)**3/8
Factor -3*h**2 + 162*h + 336.
-3*(h - 56)*(h + 2)
Factor -l**3/3 - 56*l**2/3 - 1040*l/3 - 6400/3.
-(l + 16)*(l + 20)**2/3
Factor o**3/5 + 29*o**2/5 + 28*o/5.
o*(o + 1)*(o + 28)/5
Factor 20*j**3 - 1028*j**2 + 1408*j - 400.
4*(j - 50)*(j - 1)*(5*j - 2)
Find a such that -324*a**5/7 + 87786*a**4/7 - 82708*a**3/7 + 23768*a**2/7 - 2160*a/7 = 0.
0, 2/9, 1/2, 270
Solve 3*f**2/5 + 10494*f/5 + 9177003/5 = 0.
-1749
Factor -18*q**2/5 + 112*q/5 - 152/5.
-2*(q - 2)*(9*q - 38)/5
What is j in 20*j**4/3 + 16*j**3 + 41*j**2/3 + 5*j + 2/3 = 0?
-1, -1/2, -2/5
Determine h, given that 2*h**4/9 + 112*h**3/9 - 404*h**2/3 - 2752*h/9 - 1430/9 = 0.
-65, -1, 11
Suppose -2*s**3 + 24*s - 32 = 0. What is s?
-4, 2
Factor -f**2 - 98*f + 2223.
-(f - 19)*(f + 117)
Factor 4*k**3 + 84*k**2 + 80*k.
4*k*(k + 1)*(k + 20)
Solve j**2/7 + 5202*j/7 + 6765201/7 = 0 for j.
-2601
Factor 12*q**5 - 39*q**4 + 9*q**3.
3*q**3*(q - 3)*(4*q - 1)
What is d in 3*d**4 - 24*d**3 + 207*d**