**3 + o + 1. Let c(g) = 8*g**5 - 11*g**4 - 3*g - 3. Let x(h) = c(h) + 3*f(h). Let x(y) = 0. Calculate y.
0, 3/5, 1
Let d(v) = 4*v**3 + 2*v**2 - 10*v + 4. Let a(l) = -5*l**3 - 2*l**2 + 9*l - 3. Let w(i) = -4*a(i) - 3*d(i). Factor w(k).
2*k*(k + 1)*(4*k - 3)
Let f = 339136 + -80714061/238. Let a = f + -5/34. Determine u so that -a + 40/7*u + 2*u**3 - 46/7*u**2 = 0.
2/7, 1, 2
Let 2/5*c**2 - 2*c - 12/5 = 0. Calculate c.
-1, 6
Let d be (-2 + (-2 - -2))/(-4 + 1). Let 2/9*v**2 + 8/9*v + d = 0. What is v?
-3, -1
Let v = 19647 + -19647. Solve 0*g + 12/5*g**3 - 3/5*g**2 + v - 9/5*g**4 = 0 for g.
0, 1/3, 1
Let a(x) = 7*x**2 + 10*x - 5. Let t be a(-2). Let l(p) be the first derivative of -1/27*p**t - 5/9*p**2 - 25/9*p - 5. Factor l(c).
-(c + 5)**2/9
Let k = 2 - 0. Let o be ((-129)/110 - (-51)/187)/((-6)/4). Find b such that 0 + 1/5*b**3 - o*b + 2/5*b**k = 0.
-3, 0, 1
Factor 32*b**2 - 490 - 52*b**2 + 235*b + 25*b**2.
5*(b - 2)*(b + 49)
Factor 2/5*u**2 + 1/5 + 3/5*u.
(u + 1)*(2*u + 1)/5
Let z(v) be the first derivative of 2*v**3/27 - 8*v/9 + 136. Suppose z(h) = 0. Calculate h.
-2, 2
Factor -2/11*y**5 + 0*y**2 + 0 - 2/11*y**3 + 0*y - 4/11*y**4.
-2*y**3*(y + 1)**2/11
Let z(m) be the third derivative of m**8/3780 - m**7/945 - m**6/810 + m**5/135 - 3*m**3/2 + 16*m**2. Let w(x) be the first derivative of z(x). Factor w(q).
4*q*(q - 2)*(q - 1)*(q + 1)/9
Factor 3/2 + 9/5*k**2 + 0*k**3 - 1/10*k**4 + 16/5*k.
-(k - 5)*(k + 1)**2*(k + 3)/10
Let c(k) be the first derivative of k**9/756 + k**8/420 - k**7/210 - k**6/90 + 5*k**3 - 6. Let z(v) be the third derivative of c(v). Let z(u) = 0. What is u?
-1, 0, 1
Let o(j) be the second derivative of j**8/2100 + 2*j**7/525 + j**6/90 + j**5/75 - 7*j**3/6 - 7*j. Let s(h) be the second derivative of o(h). Factor s(d).
4*d*(d + 1)**2*(d + 2)/5
Let 25*j**3 - 94*j + 190*j**2 + 19 - 90*j**4 - j - 49 = 0. What is j?
-3/2, -2/9, 1
Factor 6560*v - 1823 + 217 - 3522*v**2 - 2*v**4 - 1594 + 164*v**3.
-2*(v - 40)**2*(v - 1)**2
Let a(o) = 3*o**2 - 2*o - 4. Let q(v) = 9*v + 1 - 12*v**2 + 0 + 10 + 4. Let i(y) = 15*a(y) + 4*q(y). Factor i(s).
-3*s*(s - 2)
Let b(a) = 8*a**2 + 2*a + 0*a - 18*a**3 - a. Let c(k) = -k + 24 + 2*k**3 + 0*k**3 - 24 - k**3. Let n(f) = b(f) + 2*c(f). Factor n(l).
-l*(4*l - 1)**2
Let 20 - 2/3*n + 2/3*n**3 - 4*n**2 = 0. What is n?
-2, 3, 5
Suppose -14/9*n**3 - 4/9*n - 10/3*n**2 + 0 = 0. What is n?
-2, -1/7, 0
Let a be -2*(-3)/(-2) + (-36)/(-1). Factor 8*y**3 + 0*y**3 + 12*y**4 - 29*y**5 + a*y**5.
4*y**3*(y + 1)*(y + 2)
Let d(w) = w**2 - 2*w + 13. Let f(g) = 2*g**2 - 4*g + 23. Let v(r) = -7*d(r) + 4*f(r). Determine n, given that v(n) = 0.
1
Let m(n) be the second derivative of 7/96*n**4 + 0*n**2 - 3/160*n**5 - 12*n - 1/12*n**3 + 0. Factor m(h).
-h*(h - 1)*(3*h - 4)/8
Let d(p) be the first derivative of -2*p**3/15 + 8*p**2/5 - 6*p - 202. Factor d(r).
-2*(r - 5)*(r - 3)/5
Let g(y) be the third derivative of 0 + 0*y**3 + 11*y**2 + 0*y + 1/24*y**4 + 3/40*y**5. Factor g(s).
s*(9*s + 2)/2
Let q be -8*(-6 - (-3 + (-30)/12)). Factor -1/3*i**5 + 7/9*i**q - 1/3*i**2 + 0 - 1/3*i**3 + 2/9*i.
-i*(i - 1)**3*(3*i + 2)/9
Let v be 2/4*(-2698)/(-19). Suppose -169 = -5*q + v. Factor q*c**3 + 2*c**4 + 4*c - 8*c + 2*c**4 - 45*c**3 + c**5 - 4*c**2.
c*(c - 1)*(c + 1)*(c + 2)**2
Find h, given that -2*h**5 + 52*h**4 - 270*h**2 + 58*h**2 - 106*h**3 + 6*h - 76*h**4 - 198*h - 64 = 0.
-4, -2, -1
Let h(u) be the third derivative of -u**6/144 - 29*u**5/72 - 35*u**4/36 + 10*u**2 + 18. Factor h(c).
-5*c*(c + 1)*(c + 28)/6
Let l be (-5 - -5) + (5 - 3). Suppose -16*c + 5*c - 5*c**l - 4*c = 0. What is c?
-3, 0
Let d be 36/45 - (-22)/5 - 5. Let 1/5 - d*p**2 + 0*p = 0. Calculate p.
-1, 1
Let h = 23 - 20. Let l be (3/h)/((3/12)/1). Factor -2/3*d**3 - 8*d + 16/3 + l*d**2.
-2*(d - 2)**3/3
Let z be (8/28)/((160/504)/5). Factor -z*j + 3/2*j**2 + 3.
3*(j - 2)*(j - 1)/2
Let t be 3/(-2)*20/(-6). Suppose -2*b - 3*i = 20, 75 = 2*i + 91. What is d in 0*d + 1/3*d**b + 0 - 1/3*d**4 - 1/6*d**3 + 1/6*d**t = 0?
-1, 0, 1, 2
Let d(t) be the second derivative of -t**6/15 - 3*t**5/10 + 2*t**4/3 - 120*t. Factor d(z).
-2*z**2*(z - 1)*(z + 4)
Let p(s) be the third derivative of -1/10*s**5 - 11*s**2 - 1/4*s**4 + 0*s - 1/60*s**6 + 0 - 1/3*s**3. Suppose p(i) = 0. Calculate i.
-1
Suppose -2 = -r + 2*s, -3*r - 4*s + 1 + 5 = 0. Factor -5*o**5 - 10*o**r - 20*o**4 - 23 + 50 - 27 - 25*o**3.
-5*o**2*(o + 1)**2*(o + 2)
Let i(w) be the first derivative of -w**3 + 45*w**2/2 + 601. Suppose i(g) = 0. Calculate g.
0, 15
Suppose v - 16 = q - 10, 0 = -3*v - q + 2. Let p(a) be the first derivative of -7 + 0*a - 3/4*a**4 + 3*a**v + a**3. Let p(z) = 0. What is z?
-1, 0, 2
Let w = 24933/7 + -3555. Factor -579/7*z**3 - 27/7*z - 312/7*z**4 - 234/7*z**2 + 0 - w*z**5.
-3*z*(z + 3)**2*(4*z + 1)**2/7
Factor -15/4*d**2 + 1/4*d**3 + 3*d + 7.
(d - 14)*(d - 2)*(d + 1)/4
Let v(p) = 2*p**2 - 61*p - 144. Suppose -12 - 4 = -4*w. Let m(r) = -r**2 + 20*r + 48. Let o(a) = w*v(a) + 11*m(a). Factor o(k).
-3*(k + 4)**2
Solve 0 + 6*s**5 - 160/3*s**2 - 32/3*s - 64/3*s**3 + 40/3*s**4 = 0.
-2, -2/9, 0, 2
Factor 304*n - 60 - 14*n**2 - 400*n + 5*n**2.
-3*(n + 10)*(3*n + 2)
Let -2/11*q**2 - 1352/11 - 104/11*q = 0. What is q?
-26
Find m, given that 17/3*m + 16/3*m**2 - 7/3*m**3 - 2 = 0.
-1, 2/7, 3
Let y(q) = -q**2 - 20*q - 12. Let p be y(-10). Factor 2*t**2 - 86*t + p*t - 16 + 4.
2*(t - 2)*(t + 3)
Let o(y) be the first derivative of -2 - 6/35*y**5 - 1/21*y**6 + 2/7*y**2 - 1/14*y**4 + 0*y + 2/7*y**3. Let o(i) = 0. Calculate i.
-2, -1, 0, 1
Let n(q) be the third derivative of -q**6/24 - 2*q**5/3 + 55*q**4/6 - 40*q**3 + 21*q**2. Factor n(r).
-5*(r - 2)**2*(r + 12)
Let p be (85/28 + -4 + 1)/3. Let b(f) be the third derivative of -p*f**4 + 1/210*f**5 + 0 + 5*f**2 - 2/21*f**3 + 0*f. Solve b(h) = 0.
-1, 2
Let g be 15/(-70)*7*3/(-27). Let i(x) be the third derivative of -4*x**2 + 0 - 4/15*x**3 + g*x**4 - 1/25*x**5 + 0*x. Factor i(y).
-4*(y - 1)*(3*y - 2)/5
Suppose 4*s - 2*s = 8*s. Let d(n) be the second derivative of -1/10*n**3 + s + 1/10*n**4 + 3/100*n**5 - 4*n - 3/5*n**2. Factor d(t).
3*(t - 1)*(t + 1)*(t + 2)/5
Find t such that 4*t - t**2 - 8567 + 8567 - 10*t = 0.
-6, 0
Suppose -z + 23 = f + 3, 0 = 2*z + 4*f - 42. Factor 14*r + 2*r**3 + 3*r**3 - z*r.
5*r*(r - 1)*(r + 1)
Let q be 3*2 - (7 + -4). Suppose 4*s - q*s = 0. Factor s*g**4 + 0 - g**5 - g**2 - 3*g**3 + 0 - 3*g**4.
-g**2*(g + 1)**3
Let a(r) be the third derivative of 0 - 1/30*r**3 + 0*r**4 + 1/300*r**5 + 0*r + 16*r**2. Suppose a(u) = 0. What is u?
-1, 1
Let n(i) = 2*i**4 - 54*i**3 - 56*i**2 - 5*i. Let a(z) = -2*z**4 + 52*z**3 + 54*z**2 + 6*z. Let t(l) = -5*a(l) - 6*n(l). Factor t(u).
-2*u**2*(u - 33)*(u + 1)
Let s be ((-126)/84)/((-60)/(-32))*(-10)/12. Solve -s*c**3 - 2*c + 8/3*c**2 + 0 = 0.
0, 1, 3
Let d(h) be the second derivative of -11*h**4 - 656*h**3/15 + 8*h**2/5 + 636*h. Determine f, given that d(f) = 0.
-2, 2/165
Suppose -2084 = 2*z - 2094. Let i(s) be the first derivative of 0*s**4 + 7 - 4/3*s**3 + 0*s**2 + 2*s + 2/5*s**z. Let i(j) = 0. Calculate j.
-1, 1
Let j(m) be the second derivative of 11*m**5/90 - m**4/9 - 11*m**3/27 + 2*m**2/3 + 4*m - 16. Solve j(c) = 0.
-1, 6/11, 1
Let l(f) = -f**3 - 6*f**2 - 2*f - 10. Let z be l(-6). Factor 15*i**2 + 9*i - z*i**2 + 27 - 10*i**2 + 9*i.
3*(i + 3)**2
Let w be ((1 - 1)/2)/(-1). Let s be (-280)/(-88) + 6/(-33). Factor w*o + 0 + 2/5*o**s - 1/5*o**4 - 1/5*o**2.
-o**2*(o - 1)**2/5
Let a(c) be the third derivative of c**8/560 + 6*c**7/175 + 51*c**6/200 + 22*c**5/25 + 6*c**4/5 - 474*c**2. Solve a(k) = 0 for k.
-4, -3, -1, 0
Let y(m) = -3*m**3 + 145*m**2 + 248*m + 103. Let w be y(50). Factor -8/15*j**2 - 4/15 + 2/3*j + 2/15*j**w.
2*(j - 2)*(j - 1)**2/15
Let g(o) be the first derivative of -2/3*o**3 + 0*o - 1/4*o**2 - 1/2*o**4 + 1. What is w in g(w) = 0?
-1/2, 0
Find n, given that 0*n**3 + 0 + 0*n + 0*n**2 + 3/5*n**5 + 3/5*n**4 = 0.
-1, 0
Suppose 24/11*s**3 + 4/11*s**4 + 10/11*s - 2/11*s**5 + 28/11*s**2 + 0 = 0. Calculate s.
-1, 0, 5
Let i(z) be the third derivative of -3/40*z**6 + 0*z**3 + 1/12*z**5 - 1/42*z**7 + 0*z + 1/48*z**8 + 1/12*z**4 - 25*z**2 + 0. Determine c so that i(c) = 0.
-1, -2/7, 0, 1
Let b(j) be the second derivative of 11*j - 1/6*j**4 + 0 - j**2 + 2/3*j**3. What is z in b(z) = 0?
1
Find o such that -4/7*o**3 + 60/7*o - 