= 0. Calculate n.
-29, -1, 0
Factor -2*j**4 + 28*j**3 - 102*j**2 + 108*j.
-2*j*(j - 9)*(j - 3)*(j - 2)
Suppose -2*s**3/23 + 2238*s**2/23 - 834774*s/23 + 103790234/23 = 0. Calculate s.
373
Suppose -14*m**5/9 + 12*m**4 - 10*m**3/9 - 460*m**2/9 + 88*m/3 + 112/9 = 0. What is m?
-2, -2/7, 1, 2, 7
Determine l so that 33*l**5 + 459*l**4 + 1575*l**3 - 147*l**2 = 0.
-7, 0, 1/11
Factor 2*r**5/9 + 100*r**4/9 + 1346*r**3/9 + 800*r**2/3 + 128*r.
2*r*(r + 1)**2*(r + 24)**2/9
Factor h**3 + 326*h**2 - h - 326.
(h - 1)*(h + 1)*(h + 326)
Solve 4*o**2 - 298*o + 148 = 0.
1/2, 74
Factor 2*y**3/3 - 8*y**2 - 30*y.
2*y*(y - 15)*(y + 3)/3
Factor -n**3 - 17*n**2 - 27*n + 45.
-(n - 1)*(n + 3)*(n + 15)
Solve l**3/5 + 5*l**2 + 187*l/5 + 363/5 = 0 for l.
-11, -3
Suppose 16*r**3/7 - 26*r**2/7 - 74*r/7 + 12 = 0. What is r?
-2, 1, 21/8
Factor d**3 - 18*d**2 - 196*d - 312.
(d - 26)*(d + 2)*(d + 6)
Let t**4 - 136*t**3 + 4758*t**2 - 9112*t + 4489 = 0. Calculate t.
1, 67
Suppose 3*p**5/4 + 3*p**4/2 - 21*p**3/4 - 15*p**2 - 9*p = 0. Calculate p.
-2, -1, 0, 3
Factor 2*g**2/7 - 12*g - 98.
2*(g - 49)*(g + 7)/7
Let 3*t**2 - 30*t - 72 = 0. Calculate t.
-2, 12
Determine n so that 26*n**2/11 + 30*n/11 + 4/11 = 0.
-1, -2/13
Suppose 2*s**3 - 22*s**2 + 38*s - 18 = 0. Calculate s.
1, 9
Find s, given that -3*s**3/4 + 399*s**2/4 - 3366*s + 3267 = 0.
1, 66
Factor -c**4 - 3*c**3 + 4*c**2 + 12*c.
-c*(c - 2)*(c + 2)*(c + 3)
Factor -3*r**2 - 150*r - 147.
-3*(r + 1)*(r + 49)
Solve 3*r**5 - 15*r**4 - 6*r**3 + 30*r**2 + 3*r - 15 = 0.
-1, 1, 5
Factor -2*s**3/7 + 1618*s**2/7 - 3230*s/7 + 1614/7.
-2*(s - 807)*(s - 1)**2/7
What is h in 3*h**3/2 - 195*h**2/2 + 1800*h - 6750 = 0?
5, 30
Let 3*q**4/5 - 153*q**3/5 + 1866*q**2/5 + 468*q - 4056/5 = 0. What is q?
-2, 1, 26
Find z such that 2*z**5 - 56*z**4 + 156*z**3 - 152*z**2 + 50*z = 0.
0, 1, 25
Determine l, given that -4*l**2 - 1164*l + 1168 = 0.
-292, 1
Find t, given that 2*t**5/15 - 4*t**4/15 - 4*t**3/15 + 8*t**2/15 + 2*t/15 - 4/15 = 0.
-1, 1, 2
Factor -3*k**2/2 - 2*k + 2.
-(k + 2)*(3*k - 2)/2
Factor -2*r**5 - 8*r**4 + 6*r**3 + 68*r**2 + 104*r + 48.
-2*(r - 3)*(r + 1)*(r + 2)**3
Determine j so that -2*j**2 - 182*j = 0.
-91, 0
Let -s**5/4 - 2*s**4 - 15*s**3/4 + 2*s**2 + 4*s = 0. What is s?
-4, -1, 0, 1
Find j such that -15*j**5 + 755*j**4 + 2135*j**3 - 735*j**2 - 3200*j + 1060 = 0.
-2, 1/3, 1, 53
Factor -3*a**5 - 102*a**4 - 516*a**3 + 5784*a**2 - 13440*a + 9600.
-3*(a - 2)**3*(a + 20)**2
Determine f, given that 4*f**3 - 88*f**2 + 364*f - 408 = 0.
2, 3, 17
Suppose 12*s**5 + s**4 - 24*s**3 - 2*s**2 + 12*s + 1 = 0. Calculate s.
-1, -1/12, 1
Solve 2*t**4/7 - 374*t**3/7 + 17296*t**2/7 + 17672*t/7 = 0 for t.
-1, 0, 94
What is l in -8*l**5 - 116*l**4/3 - 295*l**3/6 - 83*l**2/6 + 31*l/6 + 1/2 = 0?
-3, -1, -1/12, 1/4
Factor 2*s**4/9 + 112*s**3/9 + 424*s**2/9 + 416*s/9.
2*s*(s + 2)**2*(s + 52)/9
Factor 3*r**3 + 723*r**2.
3*r**2*(r + 241)
Determine f, given that -4*f**4 + 56*f**3 = 0.
0, 14
Solve -3*l**3/7 + 102*l**2/7 - 447*l/7 + 348/7 = 0.
1, 4, 29
What is p in 3*p**5 - 10*p**4 + 12*p**3 - 6*p**2 + p = 0?
0, 1/3, 1
Suppose -2*q**4 - q**3 + 21*q**2 - 26*q + 8 = 0. What is q?
-4, 1/2, 1, 2
Factor g**4/8 - 3*g**3/8 - 3*g**2/4 + g.
g*(g - 4)*(g - 1)*(g + 2)/8
Factor -5*v**4 + 170*v**3 - 1785*v**2 + 7380*v - 10260.
-5*(v - 19)*(v - 6)**2*(v - 3)
Factor -2*g**2/9 + 16*g/9 - 8/3.
-2*(g - 6)*(g - 2)/9
Determine r so that -r**5/3 - 176*r**4/3 - 7384*r**3/3 + 10560*r**2 - 10800*r = 0.
-90, 0, 2
Find b, given that -4*b**2 + 576*b - 20736 = 0.
72
Suppose 2*l**4 - 286*l**3 - 14*l**2 + 1990*l + 1716 = 0. What is l?
-2, -1, 3, 143
Solve 2*m**3/13 - 98*m**2/13 + 92*m/13 + 192/13 = 0.
-1, 2, 48
Find n such that 4*n**4/7 + 32*n**3/7 + 20*n**2/7 - 8*n = 0.
-7, -2, 0, 1
Factor 5*s**5/3 + 100*s**4 - 310*s**3 + 940*s**2/3 - 105*s.
5*s*(s - 1)**3*(s + 63)/3
Factor 2*w**2 - 20*w.
2*w*(w - 10)
Factor -2*x**2/5 + 62*x/15 - 56/15.
-2*(x - 1)*(3*x - 28)/15
Factor -3*h**2 + 480*h + 483.
-3*(h - 161)*(h + 1)
Factor o**4/3 + 5*o**3/3 - 4*o**2/3 - 44*o/3 - 16.
(o - 3)*(o + 2)**2*(o + 4)/3
Factor p**4/4 - 31*p**3/2 + 240*p**2 + 31*p/2 - 961/4.
(p - 31)**2*(p - 1)*(p + 1)/4
Factor -2*g**2/7 + 32*g/7 - 110/7.
-2*(g - 11)*(g - 5)/7
Solve -2*x**2/11 - 28916*x/11 - 104516882/11 = 0 for x.
-7229
Let -2*z**4 + 20*z**3 + 6*z**2 - 280*z - 392 = 0. Calculate z.
-2, 7
Factor -2*m**2/3 + 14*m/3 + 12.
-2*(m - 9)*(m + 2)/3
Let -3*s**3/4 + 3*s**2/2 = 0. What is s?
0, 2
Suppose 4*j**4 + 197*j**3 + 238*j**2 - 99*j - 144 = 0. What is j?
-48, -1, 3/4
Determine b, given that 8*b**4 + 34*b**3 + 48*b**2 + 26*b + 4 = 0.
-2, -1, -1/4
What is j in -3*j**4 + 9*j**3 - 6*j**2 = 0?
0, 1, 2
Factor -3*j**4/4 + 9*j**3/4 + 9*j**2/2 - 21*j + 18.
-3*(j - 2)**3*(j + 3)/4
Suppose d**2 - 86*d - 176 = 0. What is d?
-2, 88
Factor a**2 - 5*a + 4.
(a - 4)*(a - 1)
Factor 2*o**3/3 + 118*o**2/3 + 2080*o/3 + 9464/3.
2*(o + 7)*(o + 26)**2/3
Determine r, given that -3*r**5 - 26*r**4 - 71*r**3 - 76*r**2 - 28*r = 0.
-14/3, -2, -1, 0
Suppose -2*v**3 - 2*v**2 + 112*v - 288 = 0. Calculate v.
-9, 4
Find a such that -6*a**2/13 + 2*a - 8/13 = 0.
1/3, 4
Determine f so that -20*f**2 - 2365*f - 590 = 0.
-118, -1/4
What is o in 3*o**5/5 - 14*o**4/5 + 19*o**3/5 - 4*o**2/5 - 4*o/5 = 0?
-1/3, 0, 1, 2
Factor -2*o**2/13 - 14*o/13 - 24/13.
-2*(o + 3)*(o + 4)/13
Factor f**5/3 - f**3/3.
f**3*(f - 1)*(f + 1)/3
Factor y**5 - 31*y**4 - 65*y**3 - 33*y**2.
y**2*(y - 33)*(y + 1)**2
Solve -828*a**2 - 824*a + 4 = 0.
-1, 1/207
Let 3*r**5 - 36*r**4 - 276*r**3 + 342*r**2 + 273*r - 306 = 0. Calculate r.
-6, -1, 1, 17
Factor h**5/6 + 53*h**4/2 + 2133*h**3/2 + 6241*h**2/6.
h**2*(h + 1)*(h + 79)**2/6
Solve 3*b**3 + 21*b**2 + 18*b = 0 for b.
-6, -1, 0
Determine c, given that 2*c**2/3 + 620*c/3 + 206 = 0.
-309, -1
Factor 2*i**4/5 + 8*i**3/5 - 42*i**2/5 + 8*i/5 + 56/5.
2*(i - 2)**2*(i + 1)*(i + 7)/5
Factor 937445*m**2 + 8660*m + 20.
5*(433*m + 2)**2
Factor -36*o**3/5 + 1896*o**2/5 + 2576*o/5 + 864/5.
-4*(o - 54)*(3*o + 2)**2/5
Solve -3*g**2/8 + 243*g/4 - 19683/8 = 0.
81
Suppose o**2/2 + 7*o/2 + 6 = 0. Calculate o.
-4, -3
Factor -2*u**2/9 - 14*u/3.
-2*u*(u + 21)/9
What is p in -2*p**5/7 - 2*p**4/7 + 16*p**3/7 + 24*p**2/7 = 0?
-2, 0, 3
Factor c**3/5 - 13*c**2/5 + 8*c - 36/5.
(c - 9)*(c - 2)**2/5
Factor -4*f**4/5 + 424*f**3/5 - 7332*f**2/5 - 206912*f/5 - 952576/5.
-4*(f - 61)**2*(f + 8)**2/5
Suppose -4*s**3 + 1512*s**2 - 190512*s + 8001504 = 0. Calculate s.
126
Suppose 4*n**4/7 - 268*n**3/7 + 4612*n**2/7 - 3828*n/7 - 8712/7 = 0. What is n?
-1, 2, 33
Factor u**2/4 + 24*u + 576.
(u + 48)**2/4
Let -36*z**5 - 620*z**4 - 28*z**3 + 1788*z**2 - 832*z - 272 = 0. Calculate z.
-17, -2, -2/9, 1
Determine n so that -n**3 - 216*n**2 + 877*n - 660 = 0.
-220, 1, 3
Find s such that 3*s**5 + 9*s**4 - 12*s**2 = 0.
-2, 0, 1
Factor x**2/5 + 144*x/5 + 112.
(x + 4)*(x + 140)/5
Determine p, given that 35*p**3 - 230*p**2 + 500*p - 360 = 0.
2, 18/7
Factor 2*k**3/7 - 8*k**2 - 18*k + 180/7.
2*(k - 30)*(k - 1)*(k + 3)/7
Factor -5*l**2 - 230*l - 840.
-5*(l + 4)*(l + 42)
Factor 1296*j**3/7 - 180*j**2/7 - 32*j/7 - 1/7.
(4*j - 1)*(18*j + 1)**2/7
Suppose -5*l**5 + 260*l**4 - 4325*l**3 + 19710*l**2 + 53460*l + 29160 = 0. Calculate l.
-1, 18
Let 2*u**5/11 + 18*u**4/11 + 60*u**3/11 + 8*u**2 + 48*u/11 = 0. Calculate u.
-3, -2, 0
Factor r**5/4 - 7*r**4/4 + 3*r**3/4 + 63*r**2/4 - 27*r.
r*(r - 4)*(r - 3)**2*(r + 3)/4
Find y, given that 20*y**3 + 348*y**2 + 456*y + 128 = 0.
-16, -1, -2/5
Determine i, given that 49*i**2/4 + 105*i/2 + 225/4 = 0.
-15/7
Determine n, given that n**2/2 + 2750*n + 3781250 = 0.
-2750
Suppose -686*r**5/23 + 3528*r**4/23 - 2814*r**3/23 - 4300*r**2/23 - 1416*r/23 - 144/23 = 0. Calculate r.
-2/7, 3
Determine h, given that -h**5/3 - 8*h**4 - 47*h**3 + 70*h**2/3 + 128*h - 96 = 0.
-12, -2, 1
Factor h**3/9 + 2*h**2 - 28*h/3 - 1960/9.
(h - 10)*(h + 14)**2/9
Suppose x**5/8 - 5*x**4/8 - x**3 + 3*x**2/2 = 0. Calculate x.
-2, 0, 1, 6
Suppose -78*j**4 - 70*j**3 + 398*j**2 - 274*j + 24 = 0. What is j?
-3, 4/39, 1
Factor -4*l**2/5 - 80*l - 1680.
-4*(l + 30)*(l + 70)/5
Find w, given that -2*w**3/5 - 210*w**2 = 0.
-525, 0
Factor n**3/9 + 377*n**2/9 + 1124*n/9 + 748/9.
(n + 1)*(n + 2)*(n + 374)/9
Determine l so that -6*l**2/5 + 942*l/5 + 948/5 = 0.
-1, 158
What is u in -u**3 + 18*u**2/5 - 19*u/5 + 6/5 = 0?
3/5, 1, 2