l such that 0*l + 0*l**3 + 0 - 2/9*l**2 + 2/9*l**r = 0.
-1, 0, 1
Let n(t) be the second derivative of -t**4/3 - 4*t**3/3 - 10*t. Solve n(d) = 0 for d.
-2, 0
Let l(j) be the first derivative of 0*j**4 - 5 - 8/21*j**3 + 0*j - 2/7*j**2 + 8/35*j**5 + 2/21*j**6. Solve l(o) = 0.
-1, 0, 1
Let k(l) be the third derivative of l**7/1470 - l**6/168 + 3*l**5/140 - l**4/24 + l**3/21 + 8*l**2. Factor k(z).
(z - 2)*(z - 1)**3/7
Let t(y) be the second derivative of 2*y**7/63 + 8*y**6/45 + 4*y**5/15 - 2*y**4/9 - 10*y**3/9 - 4*y**2/3 + 11*y. Factor t(c).
4*(c - 1)*(c + 1)**3*(c + 2)/3
Let i(u) = -u**5 - 4*u**4 - 2*u**3 + 4*u**2 + 3*u. Let r(c) = -c**5 - 3*c**4 - c**3 + 3*c**2 + 2*c. Let b(k) = -3*i(k) + 4*r(k). Factor b(p).
-p*(p - 1)**2*(p + 1)**2
Let v be -12 + (-12 - -26) + (-10)/8. Factor v*j**3 - 3/4*j**2 + 0*j + 0.
3*j**2*(j - 1)/4
Factor 1/2*p**3 + 0 + 0*p + 0*p**2.
p**3/2
Let k = -14 + 18. Let f be (-80)/(-165) + k/22. What is c in 0*c**2 - 2/3*c**3 + 0 + f*c = 0?
-1, 0, 1
Let d(x) = x**4 - 2*x - 2*x**3 - 2*x - 2*x**4 + x**2. Let s(g) = g**3 + g. Let q(n) = 4*n - 5. Let t be q(2). Let j(c) = t*s(c) + d(c). Factor j(a).
-a*(a - 1)**2*(a + 1)
Let f(y) be the first derivative of 7/6*y**4 - 2/3*y**2 + 0*y - 3 - 10/9*y**3. Factor f(o).
2*o*(o - 1)*(7*o + 2)/3
Suppose 4 = -p - p. Let t be 11 - p/(6/(-9)). Factor 2 - 9*u**4 + t*u**2 - u**2 + 2*u**2 - 2*u**2 - 11*u + 11*u**3.
-(u - 1)**2*(u + 1)*(9*u - 2)
Let j(u) be the third derivative of -u**6/24 - u**5/12 + 3*u**2. Solve j(x) = 0 for x.
-1, 0
Find l such that 0 - 32/9*l - 2/9*l**3 - 16/9*l**2 = 0.
-4, 0
Suppose -7 - 3 + 9*f - 14*f + 20*f**2 + 15*f**3 = 0. Calculate f.
-1, 2/3
Let o = -149/12 - -38/3. Factor o*m**4 + 0 + 3/4*m**3 + 0*m**2 - m.
m*(m - 1)*(m + 2)**2/4
Let t = 80/3 - 26. Let g(x) be the first derivative of -1/15*x**5 - 2/3*x**2 - 1/3*x**4 + 1 - 1/3*x - t*x**3. Factor g(k).
-(k + 1)**4/3
Let i(n) be the second derivative of n**7/1260 + n**6/360 - n**5/30 + 5*n**4/12 + 4*n. Let w(b) be the third derivative of i(b). Determine p so that w(p) = 0.
-2, 1
Solve 4/15*i**3 - 8/15*i - 2/5*i**2 + 8/15 + 2/15*i**4 = 0.
-2, 1
Suppose -s + v = 2, 4*s - 2*v + 0*v = 0. Factor -s*h**2 - 2*h + 7*h**4 + h**3 - 5*h**4 + h**3.
2*h*(h - 1)*(h + 1)**2
Let n(f) be the first derivative of f**7/420 + f**6/90 - f**5/60 - f**4/6 + 2*f**3/3 - 3. Let o(z) be the third derivative of n(z). Factor o(x).
2*(x - 1)*(x + 1)*(x + 2)
Suppose 4*g = -0*g + 68. Suppose -18*k + 2 = -g*k. Determine o, given that 2/3*o**4 - 10/3*o**3 + 16/3*o + 2/3*o**5 - 8/3 - 2/3*o**k = 0.
-2, 1
Suppose -17*z = -20*z. Solve 0*v - 1/4*v**2 + 1/4*v**4 + 0*v**3 + z = 0 for v.
-1, 0, 1
Let s be (-1*12/3)/(-3). Let f(l) be the first derivative of -s*l - l**2 + 2 + 1/2*l**4 - 2/3*l**5 + 14/9*l**3. Solve f(a) = 0 for a.
-1, -2/5, 1
Let m(h) = -3*h**2 - 2*h - 1. Let g(p) = 10*p**2 + 7*p + 4. Let b = 16 + -23. Let k(j) = b*m(j) - 2*g(j). Suppose k(z) = 0. What is z?
-1, 1
Let t be 33/(-7) + (1 - -4). Factor -4/7 + 2/7*g**2 + t*g.
2*(g - 1)*(g + 2)/7
Let p(k) be the first derivative of -1/18*k**4 + 5/9*k**2 - 2/45*k**5 + 4/9*k + 2/9*k**3 + 2. Factor p(d).
-2*(d - 2)*(d + 1)**3/9
Suppose -t + j - 6*j = -29, 0 = -t + 2*j - 6. Solve -4*p**2 - p**4 + 0*p**3 - t*p**3 - p**2 + p**2 = 0 for p.
-2, 0
Suppose 4*g - 7*g = 3*b - 18, -5*g + 2*b + 16 = 0. Solve -v**3 - 2/3*v**2 + 0 - 1/3*v**g + 0*v = 0.
-2, -1, 0
Let h(z) be the first derivative of -z**4/2 + 8*z**3/3 - 3*z**2 + 8. Suppose h(j) = 0. Calculate j.
0, 1, 3
Let w = 841/6 - 140. Let o(y) be the second derivative of w*y**4 + 0 + y**2 + 2/3*y**3 + 2*y. Determine t so that o(t) = 0.
-1
Let a(m) be the second derivative of -3*m**5/20 - m**4/4 - 14*m. Find w, given that a(w) = 0.
-1, 0
Solve -8/3*m + 0 + 0*m**3 + 4/3*m**4 - 4*m**2 = 0.
-1, 0, 2
Let h = 5 - -1. Let i = -3 + h. Find q such that 3*q**2 - q**2 - 4*q**3 + 2*q**i = 0.
0, 1
Let k(v) be the second derivative of -v**7/126 - 7*v**6/90 - 3*v**5/10 - 5*v**4/9 - 4*v**3/9 + 15*v. Factor k(s).
-s*(s + 1)*(s + 2)**3/3
Let t(m) be the first derivative of -2*m**3/51 - 13*m**2/17 - 24*m/17 - 16. Factor t(q).
-2*(q + 1)*(q + 12)/17
Let k(w) = -2*w**2 + 5*w - 3. Let x(s) = -19*s - 2 + 8 + 7*s**2 + 5. Let o(i) = -22*k(i) - 6*x(i). Solve o(a) = 0.
-2, 0
Let k(y) = -3*y + 12. Let a be k(4). Factor 0*q**4 + 3/2*q**5 - 3*q**3 + 0 + a*q**2 + 3/2*q.
3*q*(q - 1)**2*(q + 1)**2/2
Let j(r) be the first derivative of r**4/16 - 3*r**2/8 - r/2 + 9. Find h such that j(h) = 0.
-1, 2
Suppose 2*t - 2*y = -2, t - 5*y + 2 = -3*t. Let o(g) = 5*g**2 - g - 7. Let x(a) = -6*a**2 + 2*a + 8. Let r(w) = t*x(w) - 4*o(w). Factor r(q).
-2*(q - 1)*(q + 2)
Let j(i) be the third derivative of i**7/735 + i**6/84 + 4*i**5/105 + i**4/21 - 5*i**2. Let j(a) = 0. Calculate a.
-2, -1, 0
Suppose 3*q + 4 = -3*y + 16, -3*y + 3*q = -12. Factor -1/2*d**2 - d**3 + 1/2*d**y + 0 + d.
d*(d - 2)*(d - 1)*(d + 1)/2
Determine j so that 1/9*j**2 - 5/9 - 4/9*j = 0.
-1, 5
Find q, given that 2/7*q**3 - 18/7*q**2 + 48/7*q - 32/7 = 0.
1, 4
Let a(k) be the third derivative of -9*k**6/40 + 21*k**5/20 - 2*k**4 + 2*k**3 - 15*k**2. Factor a(w).
-3*(w - 1)*(3*w - 2)**2
Suppose -3*a + i = -4*i + 16, 2*a - 11 = -i. Let f(g) be the first derivative of -2 + 11/9*g**2 - 4/9*g - 32/27*g**a + 7/18*g**4. Factor f(t).
2*(t - 1)**2*(7*t - 2)/9
Suppose 0 = -4*y + 3*g + 34 - 10, -5*y - 2*g + 53 = 0. Let v = y + -5. Determine t so that -2*t - t**4 + 2*t**3 - v*t**2 + 6*t**2 - t**4 = 0.
-1, 0, 1
Let c(t) be the third derivative of -t**7/70 - t**6/5 - 9*t**5/10 - 2*t**4 - 5*t**3/2 + 11*t**2. Factor c(d).
-3*(d + 1)**3*(d + 5)
Let i be (-1 + 1)/(3 - (0 - -1)). Let z(n) be the first derivative of -n**2 + 2 - 1/2*n**4 + i*n + 4/3*n**3. Factor z(w).
-2*w*(w - 1)**2
Let k(g) be the third derivative of g**8/10080 - g**7/2520 - g**6/180 + g**5/12 + 3*g**2. Let h(l) be the third derivative of k(l). Factor h(b).
2*(b - 2)*(b + 1)
Let f be -6 - 5/((-765)/936). Factor 0*n + 0 - 2/17*n**2 - f*n**3.
-2*n**2*(n + 1)/17
Suppose -3*g + 4*g - 5 = 0. Let h(d) be the third derivative of 1/8*d**4 + 0 + 0*d**g + 0*d + 1/3*d**3 - 1/120*d**6 - 2*d**2. Factor h(n).
-(n - 2)*(n + 1)**2
Suppose 2*q - 3*u + 15 = 2*u, 2*q + 2*u - 6 = 0. Suppose q - 12/5*c**4 - 3/5*c**5 - 18/5*c**3 - 3/5*c - 12/5*c**2 = 0. What is c?
-1, 0
Factor 1/3*s**2 + 4/3 + 5/3*s.
(s + 1)*(s + 4)/3
Suppose -2*z - 5*f + 5 = 0, -2*z - f = z - 14. Determine c so that 3*c**4 - 4*c**4 + 4*c**2 - 3*c**4 - z*c**3 + 8*c - 3*c**3 = 0.
-2, -1, 0, 1
Suppose -5*g = -g. Factor 13*p - 2 - 2*p**2 + g - 17*p.
-2*(p + 1)**2
Let q = -1509 + 6041/4. Factor 0 + 1/4*y + 7/4*y**3 - q*y**2 - 3/4*y**4.
-y*(y - 1)**2*(3*y - 1)/4
Suppose c - 2 = 0, 17 - 7 = 4*q - c. Let p(t) be the second derivative of 1/21*t**q + 0 + t - 16/105*t**6 + 0*t**2 + 1/6*t**4 + 4/35*t**5. Factor p(v).
-2*v*(v - 1)*(4*v + 1)**2/7
Let h(r) = -r + 3. Let y be h(0). Let d(u) be the first derivative of 4*u**2 - 2 - 2/3*u**y - 8*u. What is c in d(c) = 0?
2
Factor 0*z**2 + 2/3*z**4 + 0*z + 0*z**3 - 2/3*z**5 + 0.
-2*z**4*(z - 1)/3
Find r, given that -1/10*r**2 + 3/10 - 1/5*r = 0.
-3, 1
Let q(l) = 8*l**2 - 56*l + 5. Let y be q(7). Let i(f) be the third derivative of 1/30*f**y + 0*f - 2*f**2 + 0 + 1/3*f**3 + 1/6*f**4. Factor i(d).
2*(d + 1)**2
Let w(s) be the first derivative of 3*s**4/4 - 9*s**3 + 81*s**2/2 - 81*s - 4. Solve w(k) = 0 for k.
3
Let l(h) be the first derivative of h**4/4 - 4*h**3/3 + 5*h**2/2 - 2*h - 15. Determine a, given that l(a) = 0.
1, 2
Let l(h) be the first derivative of -h**6/2 - 6*h**5/5 - 6. Determine k, given that l(k) = 0.
-2, 0
Let c = 9 - 7. Suppose -u = -5*x, 3*x - c*u = -u. Factor -5*j**3 - 4*j**3 - 3*j**4 + 12*j + x*j**4.
-3*j*(j - 1)*(j + 2)**2
Solve 3*p**2 + 11*p + 28 + 7*p - 1 = 0.
-3
Let d be (-1 - -1)*(-1)/(-2). Determine c, given that -1/2*c**5 + d - 1/2*c**2 + 1/2*c**4 + 1/2*c**3 + 0*c = 0.
-1, 0, 1
Let c = 65231 - 20547673/315. Let r = c + -2/315. Factor 2/7*v + 0 + r*v**2.
2*v*(v + 1)/7
Suppose -2*h = -0 - 6. Let j = -175/36 - -46/9. Factor 1/4 - 1/4*p**h - j*p**2 + 1/4*p.
-(p - 1)*(p + 1)**2/4
Let h(c) be the second derivative of 8/3*c**3 - 8*c**2 - 5*c - 1/3*c**4 + 0. Find r, given that h(r) = 0.
2
Let x(o) be the third derivative of -o**7/5040 - o**6/480 - o**5/120 + 5*o**4/12 - 8*o**2. Let b(r) be the second derivat