3 - 9*n**2 + 6*n = 0. What is n?
0, 1, 2
Suppose 2*q**3 - 58*q**2 + 320*q - 264 = 0. What is q?
1, 6, 22
Factor -p**3 - 10*p**2 - 16*p.
-p*(p + 2)*(p + 8)
Determine y, given that -3*y**5 - 15*y**4 - 6*y**3 + 24*y**2 = 0.
-4, -2, 0, 1
Solve 125*a**3 - 2475*a**2 + 16335*a - 35937 = 0 for a.
33/5
What is k in -5*k**4 - 15*k**3 + 90*k**2 - 20*k - 120 = 0?
-6, -1, 2
Factor 4*s**3/11 + 14*s**2/11 - 10*s/11 - 8/11.
2*(s - 1)*(s + 4)*(2*s + 1)/11
Find c, given that 15*c**2 + 204*c + 3468/5 = 0.
-34/5
Solve -15*d**5/4 + 1197*d**4/2 - 46305*d**3/2 - 57957*d**2 - 176175*d/4 - 19683/2 = 0 for d.
-1, -2/5, 81
Factor -2*s**3/3 + 8*s**2/3 + 10*s - 12.
-2*(s - 6)*(s - 1)*(s + 3)/3
Determine g, given that -4*g**2/3 + 132*g - 392/3 = 0.
1, 98
Factor 3*c**3 + 432*c**2 + 1665*c - 2100.
3*(c - 1)*(c + 5)*(c + 140)
Factor -2*c**2/3 - 8*c - 24.
-2*(c + 6)**2/3
Factor 2*y**5/3 - 6*y**3.
2*y**3*(y - 3)*(y + 3)/3
Factor -3*g**2/8 - 9*g/4 - 15/8.
-3*(g + 1)*(g + 5)/8
Suppose -3*q**3/7 - 213*q**2/7 + 435*q/7 - 219/7 = 0. Calculate q.
-73, 1
Suppose u**4 + 11*u**3 - 18*u**2 - 72*u = 0. Calculate u.
-12, -2, 0, 3
Factor -2*q**3 - 2622*q**2 - 1145814*q - 166906906.
-2*(q + 437)**3
Determine n, given that -147*n**4 + 287*n**3 - 171*n**2 + 33*n - 2 = 0.
1/7, 2/3, 1
Solve -2*k**2/13 + 164*k/13 - 3362/13 = 0 for k.
41
Let 5*q**3 + 2185*q**2 - 4385*q + 2195 = 0. Calculate q.
-439, 1
Let 2*p**3/13 - 794*p**2/13 + 1582*p/13 - 790/13 = 0. What is p?
1, 395
Let -5*o**4 - 310*o**3 - 605*o**2 - 300*o = 0. Calculate o.
-60, -1, 0
Factor 2*k**3/3 - 2*k**2/9 - 6*k + 2.
2*(k - 3)*(k + 3)*(3*k - 1)/9
Suppose -g**3/4 + 71*g**2/2 - 419*g/4 + 139/2 = 0. Calculate g.
1, 2, 139
Find c such that 2*c**3 - 64*c**2 - 280*c - 288 = 0.
-2, 36
Factor -2*g**3/7 - 60*g**2/7 + 18*g - 64/7.
-2*(g - 1)**2*(g + 32)/7
Factor 5*k**2 - k.
k*(5*k - 1)
Solve 4*c**3/5 - 4*c**2 + 12*c/5 + 36/5 = 0.
-1, 3
Factor -n**2 + 154*n - 153.
-(n - 153)*(n - 1)
Factor 3*z**3 + 177*z**2 + 342*z.
3*z*(z + 2)*(z + 57)
Factor 5*o**5 - 4835*o**4 + 9655*o**3 - 4825*o**2.
5*o**2*(o - 965)*(o - 1)**2
Factor -4*a**3 + 20*a**2 - 16*a.
-4*a*(a - 4)*(a - 1)
Determine r, given that -r**4 + 30*r**3 - 29*r**2 = 0.
0, 1, 29
Solve -n**3/2 - 22*n**2 + 141*n/2 = 0.
-47, 0, 3
Solve 2*i**4/21 - 64*i**3/21 - 2*i**2/21 + 64*i/21 = 0 for i.
-1, 0, 1, 32
Factor 2*q**2/3 + 4*q - 18.
2*(q - 3)*(q + 9)/3
Let 2*x**4/5 - 4*x**3 + 18*x**2/5 + 104*x/5 + 64/5 = 0. What is x?
-1, 4, 8
Factor 2*b**4/13 - 32*b**3/13 + 120*b**2/13.
2*b**2*(b - 10)*(b - 6)/13
Factor 3*f**3 - 9*f**2 - 30*f.
3*f*(f - 5)*(f + 2)
Suppose -3*a**2 + 3009*a - 3006 = 0. What is a?
1, 1002
Factor -4*o**2/5 - 312*o/5 - 6084/5.
-4*(o + 39)**2/5
Solve 3*a**4 - 60*a**3 + 432*a**2 - 1296*a + 1296 = 0 for a.
2, 6
Factor 72*v**3/5 - 14*v**2/5 - 8*v/5.
2*v*(4*v + 1)*(9*v - 4)/5
Solve 2*r**3 + 10*r**2 + 8*r = 0.
-4, -1, 0
Factor -500*p**5/7 - 9900*p**4/7 - 57240*p**3/7 - 82728*p**2/7 - 45684*p/7 - 8748/7.
-4*(p + 9)**2*(5*p + 3)**3/7
Determine j so that 2*j**5 + 22*j**4 - 430*j**3 + 1138*j**2 - 1084*j + 352 = 0.
-22, 1, 8
Factor -5*c**3/2 - 25*c**2 + 55*c/2.
-5*c*(c - 1)*(c + 11)/2
Factor 2*g**2/9 + 100*g + 898/9.
2*(g + 1)*(g + 449)/9
Factor -2*x**3 - 8*x**2 + 14*x + 20.
-2*(x - 2)*(x + 1)*(x + 5)
Determine i, given that 35*i**4 - 305*i**3 + 715*i**2 - 295*i - 150 = 0.
-2/7, 1, 3, 5
Solve -3*z**4/2 - 9*z**3 - 9*z**2/2 + 39*z + 36 = 0 for z.
-4, -3, -1, 2
Solve 21*w**2 + 615*w + 174 = 0.
-29, -2/7
Solve -15*c**5/8 - 177*c**4/4 - 2001*c**3/8 + 609*c**2/4 + 252*c - 108 = 0 for c.
-12, -1, 2/5, 1
Suppose 2*p**4/5 - 56*p**3/5 + 202*p**2/5 - 244*p/5 + 96/5 = 0. What is p?
1, 2, 24
Factor -5*u**3 - 680*u**2 + 685*u.
-5*u*(u - 1)*(u + 137)
Factor 4*u**3 - 448*u**2 - 4*u + 448.
4*(u - 112)*(u - 1)*(u + 1)
Factor 16*p**3 - 92*p**2 + 44*p + 152.
4*(p - 2)*(p + 1)*(4*p - 19)
Solve h**2 - 20*h - 21 = 0.
-1, 21
Find o such that -15*o**5 - 70*o**4 + 145*o**3 + 140*o**2 - 60*o = 0.
-6, -1, 0, 1/3, 2
Let -2*w**3/9 - 2060*w**2/9 - 530450*w/9 = 0. What is w?
-515, 0
Suppose j**5 + 2*j**4 - 2*j**3 - 4*j**2 + j + 2 = 0. Calculate j.
-2, -1, 1
Factor r**3/2 + 76*r**2 - r/2 - 76.
(r - 1)*(r + 1)*(r + 152)/2
Determine p so that 5*p**3 - 29*p**2 + 39*p + 9 = 0.
-1/5, 3
Factor 3*g**4/4 + 27*g**3/4 + 21*g**2/4 - 27*g/4 - 6.
3*(g - 1)*(g + 1)**2*(g + 8)/4
Factor -3*o**2 - 96*o - 261.
-3*(o + 3)*(o + 29)
Factor 20*v**2/3 + 5162*v/9 + 172/9.
2*(v + 86)*(30*v + 1)/9
Determine c, given that -2*c**2/5 + 4*c/5 + 6/5 = 0.
-1, 3
Factor 10*g**3 - 1115*g**2 - 10245*g + 5400.
5*(g - 120)*(g + 9)*(2*g - 1)
Find t such that -9*t**2 + 354*t + 240 = 0.
-2/3, 40
Suppose 98*p**4 - 5432*p**3 + 21862*p**2 + 13832*p + 2040 = 0. What is p?
-2/7, 5, 51
Solve -j**4/4 + 15*j**3/4 - 69*j**2/4 + 65*j/4 + 75/2 = 0 for j.
-1, 5, 6
Solve -92*r**4 - 360*r**3 - 244*r**2 + 24*r = 0.
-3, -1, 0, 2/23
Solve 5*g**3 + 605*g**2 = 0 for g.
-121, 0
Find b, given that b**4/5 + 2*b**3/5 - 3*b**2/5 = 0.
-3, 0, 1
Suppose -2*c**5/7 + 2*c**4/7 + 18*c**3/7 + 22*c**2/7 + 8*c/7 = 0. Calculate c.
-1, 0, 4
What is v in v**5/2 + 4*v**4/3 - 2*v**3 - 3*v**2 + 25*v/6 - 1 = 0?
-3, -2, 1/3, 1
Factor 2*w**4 + 14*w**3 - 16*w**2.
2*w**2*(w - 1)*(w + 8)
Factor -10*s**5/7 + 18*s**4/7 + 4*s**3/7.
-2*s**3*(s - 2)*(5*s + 1)/7
Solve -5*r**2 - 70*r - 200 = 0.
-10, -4
Determine u so that -3*u**2/2 + 225*u + 453/2 = 0.
-1, 151
Find d such that -3*d**5 + 133*d**4 - 650*d**3 + 1030*d**2 - 627*d + 117 = 0.
1/3, 1, 3, 39
Factor -g**4 + 12*g**3 - 45*g**2 + 54*g.
-g*(g - 6)*(g - 3)**2
Determine u so that -11*u**4/3 - 2*u**3/3 + 77*u**2/3 - 52*u/3 - 4 = 0.
-3, -2/11, 1, 2
Determine i, given that -9*i**4 - 264*i**3 - 1845*i**2 + 1350*i = 0.
-15, 0, 2/3
Solve -m**2/2 + 853*m - 1705/2 = 0 for m.
1, 1705
Find i such that 3*i**5 - 228*i**4 - 6*i**3 + 456*i**2 + 3*i - 228 = 0.
-1, 1, 76
Let i**3/6 + i**2/6 - 5*i/3 + 4/3 = 0. What is i?
-4, 1, 2
Factor -p**2 + 5792*p - 8386816.
-(p - 2896)**2
Factor 2*r**4/15 + 776*r**3/15 + 24568*r**2/5 - 304192*r/15 + 307328/15.
2*(r - 2)**2*(r + 196)**2/15
Solve -3*z**2 + 1839*z - 1836 = 0 for z.
1, 612
Determine n so that n**3/8 + 13*n**2/2 - 165*n/8 = 0.
-55, 0, 3
Solve -p**2/7 + 33*p/7 + 34/7 = 0.
-1, 34
Factor 5*x**5 - 135*x**4 + 1200*x**3 - 3520*x**2.
5*x**2*(x - 11)*(x - 8)**2
Solve -s**5 + 6*s**4 - 2*s**3 - 48*s**2 + 99*s - 54 = 0 for s.
-3, 1, 2, 3
Factor 5*v**3/3 - 175*v**2/3 - 260*v.
5*v*(v - 39)*(v + 4)/3
Determine d, given that d**5/8 + 15*d**4/8 - 39*d**3/4 - 13*d**2/4 + 237*d/8 + 171/8 = 0.
-19, -1, 3
Solve -3*q**5/2 + 55*q**4 - 193*q**3/6 - 412*q**2/3 - 74*q/3 + 24 = 0.
-1, -2/3, 1/3, 2, 36
Find f, given that 5*f**2 + 155*f - 160 = 0.
-32, 1
Factor 4*q**5 + 4*q**4 - 12*q**3 - 20*q**2 - 8*q.
4*q*(q - 2)*(q + 1)**3
Suppose 3*d**5 - 9*d**4 + 3*d**3 + 9*d**2 - 6*d = 0. Calculate d.
-1, 0, 1, 2
Let -3*m**3 + 12*m**2 + 15*m = 0. What is m?
-1, 0, 5
Factor -2*m**3/7 + 72*m**2/7 - 864*m/7 + 3456/7.
-2*(m - 12)**3/7
Factor p**2/5 + 189*p/5 + 374/5.
(p + 2)*(p + 187)/5
Factor -t**4/7 + 23*t**3/7 - 80*t**2/7 + 76*t/7.
-t*(t - 19)*(t - 2)**2/7
Factor -2*i**2/9 - 172*i/9 + 910/9.
-2*(i - 5)*(i + 91)/9
Solve -507*b**4 + 741*b**3 - 261*b**2 + 27*b = 0 for b.
0, 3/13, 1
Factor -3*n**4/2 - 27*n**3/2 - 33*n**2/2 + 63*n/2.
-3*n*(n - 1)*(n + 3)*(n + 7)/2
Factor -10*a**3/9 + 8*a**2/3 - 2*a + 4/9.
-2*(a - 1)**2*(5*a - 2)/9
Solve 2*t**5/9 + 2*t**4 - 20*t**3/9 = 0 for t.
-10, 0, 1
Factor -l**2/2 + 2079*l - 4322241/2.
-(l - 2079)**2/2
Factor 4*h**2 + 168*h.
4*h*(h + 42)
Factor -x**2/3 + 442*x/3 - 48841/3.
-(x - 221)**2/3
What is g in -g**2/4 + 51*g/4 + 13 = 0?
-1, 52
Factor 3*h**2 - 108.
3*(h - 6)*(h + 6)
Factor -b**3 + 5*b**2 + 24*b.
-b*(b - 8)*(b + 3)
Let -2*z**5/3 + 2*z**4/9 + 286*z**3/9 - 82*z**2/9 - 320*z - 200 = 0. Calculate z.
-6, -3, -2/3, 5
Determine l, given that -3*l**5 + 39*l**4 - 129*l**3 + 45*l**2 + 216*l = 0.
-1, 0, 3, 8
Solve 3*h**3 - 48*h**2 + 87*h - 42 = 0.
1, 14
Suppose v**2/2 + 343*v/4 + 171/4 = 0. Calculate v.
-171, -1/2
Solve 7*n**4/2 + 4*n**3 - 13*n**2/2 - n = 0 for n.
-2, -1/7, 0, 1
Factor -81*p**3 + 63*p**2 + 1664*p - 3380.
-(p + 5)*(9*p - 26)**2
Factor -2*b**2 - 18428*b - 42448898.
-2*(b + 4607)**2
Suppose 4*s**4/3 + 200*s**3/3 = 0. What is s?
-50, 0
Factor 33*p**3 + 9*p**2 - 33*p - 9.
3*(p - 1)*(p + 1)*(11*p + 3)
Let 49*c**3/3 + 119*c**2 + 33*c +