 the third derivative of j(a). Factor w(k).
-2*(k - 1)**2*(k + 1)/5
Let v = -1294 - -1300. Determine t, given that 0 - 3/2*t - v*t**2 = 0.
-1/4, 0
Let c(l) = -l**2 - 6*l + 6. Let b be c(-6). Let y be (-8)/(-6)*b/4. Solve k**y + 5/4*k + 1/4 = 0.
-1, -1/4
Let g(z) be the first derivative of 1/5*z**5 + 0*z**6 - 1/3*z**3 + 0*z**4 + 0*z**2 - 2*z - 1/21*z**7 + 2. Let r(l) be the first derivative of g(l). Factor r(w).
-2*w*(w - 1)**2*(w + 1)**2
Let j(u) be the first derivative of -2*u + 1/2*u**4 - u**2 + 2/3*u**3 - 3. Factor j(o).
2*(o - 1)*(o + 1)**2
Factor 0*h - 2/3 + 2/3*h**2.
2*(h - 1)*(h + 1)/3
Let b(u) be the second derivative of -u**6/240 - 3*u**5/160 - u**4/32 - u**3/48 + 3*u. Factor b(q).
-q*(q + 1)**3/8
Let q(o) be the second derivative of 2*o**6/15 - 4*o**5/5 + 5*o**4/3 - 4*o**3/3 - 16*o. Let q(i) = 0. What is i?
0, 1, 2
Let x(c) be the second derivative of c**5/70 + c**4/14 + 2*c**3/21 + 16*c. Let x(m) = 0. What is m?
-2, -1, 0
Determine u so that 2*u**2 - 2 + 5*u**3 - u - 2*u**3 - u**3 - u = 0.
-1, 1
Determine p, given that -1/2 + 1/6*p**2 - 1/3*p = 0.
-1, 3
Let n(c) be the third derivative of -c**5/30 - c**4/3 - 4*c**3/3 - 28*c**2. Find k, given that n(k) = 0.
-2
Let r be (-14)/(2/(-4)*4). Factor 2 + 15*w**2 - 11*w**3 - w - w + 3*w**4 - r*w.
(w - 1)**3*(3*w - 2)
Let n(m) = 2*m**2 - 2*m + 4. Let f = 3 - 2. Let x(y) = 2 - 4 + y + 4 - 1. Let k(r) = f*n(r) - 2*x(r). Factor k(o).
2*(o - 1)**2
Let r = -103 + 107. Factor 26/3*b**2 + 0 + 14/3*b**5 + 18*b**3 + 46/3*b**r + 4/3*b.
2*b*(b + 1)**3*(7*b + 2)/3
Let j(p) be the first derivative of 2/5*p**5 + 26/3*p**3 + 8*p + 3*p**4 + 12*p**2 + 5. Let j(l) = 0. Calculate l.
-2, -1
Determine c, given that 42*c**2 + 98*c**5 - 43*c + 274*c**3 - 29*c - 131*c**4 - 205*c**4 + 10*c**2 - 16 = 0.
-2/7, 1, 2
Let j(r) be the first derivative of 0*r**2 + 4/85*r**5 + 6 + 0*r + 0*r**3 + 1/34*r**4 + 1/51*r**6. Factor j(v).
2*v**3*(v + 1)**2/17
Let b(q) be the first derivative of -q**8/504 - 2*q**7/315 + q**5/45 + q**4/36 - q**2 + 1. Let p(y) be the second derivative of b(y). Factor p(u).
-2*u*(u - 1)*(u + 1)**3/3
Find s, given that 3 + 4*s - 11 + 2*s**2 + 8 = 0.
-2, 0
Let v(p) be the second derivative of p**4/18 - p**3/9 + 2*p. Factor v(c).
2*c*(c - 1)/3
Let t(z) = -z**2 + 7*z - 6. Let i be t(6). Let y(u) be the second derivative of 0 - 1/20*u**5 + 0*u**3 + 2*u - 1/30*u**6 + i*u**4 + 0*u**2. Factor y(l).
-l**3*(l + 1)
Let p be 4/(-6)*333/(-259). Solve 2/7*t**5 + 0 - 2/7*t**2 - p*t**3 + 4/7*t + 2/7*t**4 = 0.
-2, -1, 0, 1
Let k(d) be the second derivative of -2/5*d**5 + 0*d**2 - 1/3*d**4 + 8*d + 0 + 2/3*d**3. Solve k(g) = 0 for g.
-1, 0, 1/2
Let d(z) be the third derivative of z**7/350 - z**6/100 - z**5/100 + z**4/20 - 31*z**2. Find y such that d(y) = 0.
-1, 0, 1, 2
Factor 8/11 + 4/11*f**2 - 2/11*f**3 + 14/11*f.
-2*(f - 4)*(f + 1)**2/11
Let s = 57 - 167/3. Factor 14/3*t**3 - s*t - 10/3*t**2 + 0.
2*t*(t - 1)*(7*t + 2)/3
Let n(u) be the first derivative of 4*u**5/5 - 18*u**4 + 244*u**3/3 + 360*u**2 + 400*u - 1. Factor n(s).
4*(s - 10)**2*(s + 1)**2
Let b = -8 - -11. Find i such that -2*i**3 + 6*i + 6*i**5 + b*i**4 + 4 + i**4 - 10*i**3 - 8*i**2 = 0.
-1, -2/3, 1
Let a(c) be the third derivative of -c**8/336 + c**7/210 + c**6/60 - c**5/30 - c**4/24 + c**3/6 - 23*c**2. Factor a(u).
-(u - 1)**3*(u + 1)**2
Factor 0 - 3/4*n**5 - 9/4*n**3 + 3/4*n**2 + 9/4*n**4 + 0*n.
-3*n**2*(n - 1)**3/4
Let f be 5/(-5)*(-10)/35. Determine d so that 0 - 2/7*d**2 - f*d = 0.
-1, 0
Determine t so that 15 + 195 + 114 - 4*t**2 - 72*t + 8*t**2 = 0.
9
Let z(y) be the second derivative of y**4/4 - y**3/6 + y**2/2 + 4*y. Let q be z(1). Factor -2/5*a**2 + 0 + 2/5*a**5 - 2/5*a**q + 0*a + 2/5*a**4.
2*a**2*(a - 1)*(a + 1)**2/5
Let q = 364 + -364. Find j such that 0*j**2 + q - 8/3*j + 2/3*j**3 = 0.
-2, 0, 2
Let y(o) be the second derivative of o**6/180 - o**5/60 - o**4/6 + o**3/6 + o. Let x(u) be the second derivative of y(u). Factor x(v).
2*(v - 2)*(v + 1)
Let a(v) = -v**3 + 11*v**2 + v. Let z be a(11). Factor -4*y - 4*y**3 - 3*y + z*y + 0*y.
-4*y*(y - 1)*(y + 1)
Suppose -3*f + 32 = -5*c - 0*c, 8 = -2*c. Let l(x) be the first derivative of 0*x**2 - 1/20*x**f + 0*x + 1/15*x**3 + 2. Find v, given that l(v) = 0.
0, 1
Let k(n) be the third derivative of -n**11/997920 + n**10/151200 - n**9/90720 - n**5/15 + 3*n**2. Let s(m) be the third derivative of k(m). Factor s(a).
-a**3*(a - 2)*(a - 1)/3
Let g(v) = -113 + 52 + 61 - v**3 - 2*v. Let w(r) = -5*r**3 + r**2 - 9*r. Let s(u) = 9*g(u) - 2*w(u). Factor s(b).
b**2*(b - 2)
Let p(j) be the second derivative of 18*j**6/5 - 27*j**5/10 - 15*j**4/4 - 17*j**3/12 - j**2/4 + 4*j. Find c, given that p(c) = 0.
-1/6, 1
Let o be 0 + -1*6/(-8). Solve o*t**3 - 3/4*t**2 + 0 + 0*t = 0.
0, 1
Let j(n) be the third derivative of n**7/315 - 2*n**6/45 + 11*n**5/45 - 2*n**4/3 + n**3 + 13*n**2. Find v, given that j(v) = 0.
1, 3
Let q(s) be the second derivative of s**7/42 - 7*s**6/30 + 4*s**5/5 - 2*s**4/3 - 8*s**3/3 + 8*s**2 + 18*s. Factor q(i).
(i - 2)**4*(i + 1)
Let t(r) be the second derivative of r**6/40 - 9*r**5/80 - r**4/4 + 24*r. Factor t(q).
3*q**2*(q - 4)*(q + 1)/4
Suppose 4 + 26 = 5*x. What is a in 0*a**2 + 3*a - x*a + 2*a**2 + a**2 = 0?
0, 1
Let m be (8 - 4) + 4 - 4. Let b(p) be the second derivative of -1/27*p**6 + 0*p**3 - 4*p + 0*p**2 + 1/27*p**m + 1/30*p**5 + 0. Suppose b(k) = 0. What is k?
-2/5, 0, 1
Let k(y) be the second derivative of y**7/1120 + y**6/288 + y**5/240 - 4*y**3/3 - 2*y. Let g(z) be the second derivative of k(z). Factor g(c).
c*(c + 1)*(3*c + 2)/4
Let g be (-28)/(-3)*(-6 - -9). Let l be 4/14 + (-8)/g. Factor 2*j**2 + 0*j**2 - 5*j**4 + l*j**4 + 3*j**4.
-2*j**2*(j - 1)*(j + 1)
Let p(s) be the third derivative of s**6/120 + s**5/10 - s**4/12 - 5*s**3/3 - 5*s**2. Let b be p(-6). Solve -3*k**3 - 3/5*k + 24/5*k**b - 6/5 = 0 for k.
-2/5, 1
Suppose v - 5*m + 80 = 3*v, 3*m + 262 = 5*v. Let a be (-2)/(-11) - v/(-88). Factor 0 + q**2 - 1/4*q - a*q**3.
-q*(q - 1)*(3*q - 1)/4
Let v(k) be the second derivative of k**5/10 + k**4/2 + k**3 + k**2 + 17*k. Suppose v(r) = 0. Calculate r.
-1
Let v(m) = 2*m**2 + 2*m - 1. Suppose -3*n + 19 = -2*c, 3*c + 6*n - n = 19. Let t be v(c). Factor 0 + 0*d**2 - 1/4*d + 1/4*d**t.
d*(d - 1)*(d + 1)/4
Let d be (5 - (-14)/7) + 1*-2. Let c(v) be the third derivative of -1/60*v**d + 0 + 0*v + v**2 + 0*v**3 + 0*v**4. Factor c(t).
-t**2
Let q(i) be the third derivative of -i**7/420 - i**6/60 - i**5/20 - i**4/12 - i**3/12 + 16*i**2. Let q(o) = 0. Calculate o.
-1
Let p(r) be the first derivative of 1/9*r**2 - 6 + 2/27*r**3 - 2/9*r - 1/18*r**4. Suppose p(t) = 0. What is t?
-1, 1
Let l = -50 + 53. Factor 0 + 45/4*u**l + 27/4*u**2 + 33/4*u**4 + 9/4*u**5 + 3/2*u.
3*u*(u + 1)**3*(3*u + 2)/4
Factor -2*j + 0 + 2/5*j**2.
2*j*(j - 5)/5
Let g(h) be the third derivative of 2*h**7/105 - h**6/15 - 7*h**5/15 - 2*h**4/3 - 62*h**2. Factor g(n).
4*n*(n - 4)*(n + 1)**2
Suppose -3 = -2*v - r - 0, -9 = -3*r. Factor 3/2*t**5 + v - 3/2*t**2 + 3/2*t**4 - 3/2*t**3 + 0*t.
3*t**2*(t - 1)*(t + 1)**2/2
Let a = -1 - -3. Find y such that -1 - y**a + 9*y**3 + 8*y**2 - 2*y - 13*y**3 = 0.
-1/4, 1
Let q(u) be the first derivative of -u**6/2 + 9*u**5/5 - 3*u**4/4 - 3*u**3 + 3*u**2 - 13. Determine r, given that q(r) = 0.
-1, 0, 1, 2
Let n be 3/(9/2)*3. Suppose -4*w = -n*x - 3*w - 3, 15 = 5*w. Suppose -2*j**5 - 2*j + 3*j**3 + j**3 + x*j = 0. Calculate j.
-1, 0, 1
Let r(g) = g**3 + 4*g**2 + 9*g + 1. Let d(w) = -2*w**3 - 6*w**2 - 14*w - 2. Let l(u) = 5*d(u) + 8*r(u). Let l(z) = 0. Calculate z.
-1, 1
Let k = 47 + -44. Find g, given that 0 - 1/2*g**5 + 0*g + 1/2*g**k - 1/2*g**4 + 1/2*g**2 = 0.
-1, 0, 1
Find s, given that 0 - 2/3*s + 2/3*s**2 = 0.
0, 1
Let c be 1*(-4)/36 - (-4)/12. Factor 0 - 8/9*a - c*a**4 - 10/9*a**3 - 16/9*a**2.
-2*a*(a + 1)*(a + 2)**2/9
Let p = 39 - 85. Let z = -137/3 - p. Let 1/3*d**4 - 2/3*d**2 + 1/3 - 2/3*d**3 + 1/3*d + z*d**5 = 0. What is d?
-1, 1
Let v be 4 + (8/(-2) - -5). Factor t**v + 0 - 1/4*t**3 + 0*t**2 + 0*t - 3/4*t**4.
t**3*(t - 1)*(4*t + 1)/4
Let z = -10 + 16. Factor -3*d**2 + 3*d - z*d**3 + 3 + 2*d**3 + d**3.
-3*(d - 1)*(d + 1)**2
Let n(b) be the third derivative of -b**5/24 + 5*b**4/48 - 6*b**2. Factor n(q).
-5*q*(q - 1)/2
Factor 3*w**2 - 9 - 2*w**2 + w**2 + 4*w**2 - 3*w.
3*(w + 1)*(2*w - 3)
Let s = 13/