**6 - 1/1176*l**8 - 1/105*l**7 - l**2 - 4/21*l**3 - 5/42*l**5. Suppose f(o) = 0. Calculate o.
-2, -1
Let q(i) be the first derivative of 0*i + 1/60*i**5 - 2 + 1/6*i**3 + i**2 - 1/12*i**4. Let n(z) be the second derivative of q(z). Solve n(b) = 0.
1
Let d be ((-1)/(-2))/(3*1). Let k = d - -1/2. Find z, given that -4/9*z + 0 + 10/9*z**2 - k*z**3 = 0.
0, 2/3, 1
Let n(y) be the third derivative of y**8/16 + 6*y**7/35 + 3*y**6/40 - y**5/10 - 21*y**2. Solve n(j) = 0.
-1, 0, 2/7
Factor 9*r**2 + 4*r**4 + 4*r + 11*r**3 - 1 - r - 2*r.
(r + 1)**3*(4*r - 1)
Let h = -22 - -22. Let u(c) be the second derivative of 0*c**2 + 2/21*c**3 + 1/6*c**4 + h - c. Factor u(f).
2*f*(7*f + 2)/7
Let q(p) = p**3 - 8*p**2 - 20*p. Let s be q(10). Let a(c) be the third derivative of s + 0*c**3 - 1/180*c**5 + 2*c**2 - 1/36*c**4 + 0*c. Solve a(j) = 0.
-2, 0
Factor -3/2*k + 3/2*k**4 + 3/2*k**3 - 3/2*k**2 + 0.
3*k*(k - 1)*(k + 1)**2/2
Let y(p) = p**2 + p - 1. Let v(g) = -2*g**3 - 6*g**2 - 20*g + 14. Let q(f) = 2*v(f) + 28*y(f). Suppose q(i) = 0. Calculate i.
0, 1, 3
Let p be -4 + (-5)/(5/3). Let k = 7 + p. Factor -b**2 + 10 + k*b**3 - 10 - 2*b**3 - b**4.
-b**2*(b + 1)**2
Let d(x) be the second derivative of 0 + 1/7*x**2 + 0*x**4 - 2/21*x**3 + 1/35*x**5 - 2*x - 1/105*x**6. Factor d(s).
-2*(s - 1)**3*(s + 1)/7
Let y = -5 - -17. Suppose 0 = c + 3*c - y. Factor -k**3 + 6*k**5 + 6*k**3 + 4*k**5 - 16*k**4 + 4*k**2 - c*k**3.
2*k**2*(k - 1)**2*(5*k + 2)
Let p(d) be the first derivative of 1/40*d**5 - 1 - 1/12*d**3 - d - 1/4*d**2 + 1/24*d**4. Let l(w) be the first derivative of p(w). Factor l(k).
(k - 1)*(k + 1)**2/2
Let f(n) be the first derivative of 5*n**3/9 - n**2/3 - 2. Let f(m) = 0. What is m?
0, 2/5
Let l = -4 + 6. Solve 4*r**5 + 4*r**3 + 7*r**4 - 3*r**4 - l*r**3 - 2*r**5 = 0 for r.
-1, 0
Let n = -8 + 10. Factor 3*i - 3*i**4 - 5*i**n - 9*i**3 - 4*i**2 - 6*i.
-3*i*(i + 1)**3
Let o(d) be the first derivative of -d**4/30 + d**2/15 - 3. Factor o(m).
-2*m*(m - 1)*(m + 1)/15
Let g be ((-18)/4 + -22 + 26)/(-1). Let n(x) be the first derivative of 0*x + 1/3*x**3 - 2 - g*x**2. Factor n(l).
l*(l - 1)
Let j(o) be the second derivative of o**4/12 - o**2/2 + 18*o. Factor j(p).
(p - 1)*(p + 1)
Suppose 0 = 4*v + 14 + 2. Let y be (4 - -1)*v/(-10). Solve -c**4 + c**2 - c**4 + 3*c**3 - c**5 - y*c + c**4 = 0.
-2, -1, 0, 1
Let i(w) = -w**2 - 4*w + 2. Let r be i(-4). Suppose -r*p - 2*p = -12. Factor 6*t**3 + 3*t**2 - 6*t**4 - p*t**2 - 2*t**2 + 2*t**5.
2*t**2*(t - 1)**3
Suppose 3*q + 54 = 5*n + 2*q, 4*n - 4*q - 56 = 0. Let c be (n/(-6))/((-1)/3). What is j in 42/5*j**3 - 14/5*j**c - 4/5*j**4 + 0 + 8*j**2 + 8/5*j = 0?
-1, -2/7, 0, 2
Let s(g) be the third derivative of 0*g**3 + 1/15*g**6 + 0*g**4 + 0 + 0*g - g**2 - 1/30*g**5. Let s(w) = 0. Calculate w.
0, 1/4
Let x be 6/(-8) + (-81)/(-12). Let z = x + -4. Factor 0*f**2 + z*f**3 - 2*f + 0*f**2 + 0*f.
2*f*(f - 1)*(f + 1)
Let d(a) be the third derivative of 0*a**4 + 2/3*a**3 - 1/40*a**5 + 0 + 1/120*a**6 + 4*a**2 + 0*a. Let j(r) be the first derivative of d(r). Factor j(h).
3*h*(h - 1)
Let y be (3 + 47/(-15))*(1 - 6). Factor 1/3 + 1/3*a**2 - y*a.
(a - 1)**2/3
Let d = -28 - -28. Let 0 + 2/7*l**3 - 4/7*l**2 + d*l = 0. What is l?
0, 2
Suppose 16*c - 96 + 48 = 0. Let q be (4/9)/((-2)/(-3)). Find j such that -2/3 + q*j**4 + 4/3*j - 4/3*j**c + 0*j**2 = 0.
-1, 1
Suppose 2*s = -r - r + 26, 0 = -r + s + 5. Let t be (0 - 1) + 11/r. Factor t*q**5 + 0 + 0*q - 2/9*q**4 + 2/9*q**2 - 2/9*q**3.
2*q**2*(q - 1)**2*(q + 1)/9
Let x(u) be the first derivative of -u**4/6 - 4*u**3/3 - 5*u**2/3 - 15. Determine z, given that x(z) = 0.
-5, -1, 0
Let j = -10 - -38. Suppose -o + j = o. Factor -8*c - o*c**2 - 8/7.
-2*(7*c + 2)**2/7
Let b(n) = 5*n**3 + 15*n**2 + 54*n + 54. Let g(a) = 56*a**3 + 164*a**2 + 594*a + 594. Let z(u) = 68*b(u) - 6*g(u). Factor z(t).
4*(t + 3)**3
Let i(g) be the first derivative of g**2 - 2 - 2/3*g**3 + 0*g. Factor i(h).
-2*h*(h - 1)
Let k(u) = u**2 + 1. Let b(i) = -25*i**5 - 10*i**4 + 50*i**3 + 5*i**2 - 25*i - 25. Let a(w) = b(w) + 15*k(w). Find g such that a(g) = 0.
-1, -2/5, 1
Let d be (9/7)/3 - 36/84. Factor 0 - 1/4*r**3 + d*r**2 + 0*r - 1/4*r**5 + 1/2*r**4.
-r**3*(r - 1)**2/4
Let i(c) be the first derivative of -c**5/20 - c**4 - 8*c**3 + 7*c**2/2 - 3. Let y(z) be the second derivative of i(z). Solve y(a) = 0.
-4
Let t(p) be the second derivative of p**7/42 - p**6/6 + p**5/2 - 5*p**4/6 + 5*p**3/6 - p**2/2 + 9*p. Suppose t(k) = 0. What is k?
1
Let f = 82 - 325/4. What is l in -f*l**4 + l + 0 - 7/4*l**3 + 0*l**2 = 0?
-2, -1, 0, 2/3
Let f(s) be the first derivative of -s**6/21 - 8*s**5/35 - 3*s**4/7 - 8*s**3/21 - s**2/7 + 10. Determine g so that f(g) = 0.
-1, 0
Suppose 3*v = 31 - 4. Let k = v + -7. Find y, given that -y**3 - 3*y**2 - 3*y**2 - k*y**3 = 0.
-2, 0
Find k, given that -7/3*k + 2/3 - 3*k**2 = 0.
-1, 2/9
Let h = -208 - -208. Suppose h*d - 2/11*d**2 + 0 = 0. What is d?
0
Determine p so that -2 + 6*p - 1/2*p**4 - 13/2*p**2 + 3*p**3 = 0.
1, 2
Factor 0*y + 0 + 3/2*y**2 - 3/4*y**3.
-3*y**2*(y - 2)/4
Let 2071*b + 10 + 0*b**2 - 37 - 2095*b + 3*b**2 = 0. What is b?
-1, 9
Let c(r) be the second derivative of r**4/60 - r**3/10 + r**2/5 - r. Factor c(q).
(q - 2)*(q - 1)/5
Suppose 7 + 13 = 4*i. Suppose 0*y + 13 = -v + 3*y, -30 = -i*v - 4*y. Find x, given that -5*x**4 + 15*x**3 - 3*x - 7*x**v + 4*x - 4*x**4 = 0.
0, 1/3, 1
Let y = -133/2 - -68. Factor -3*m**2 + y*m**3 + 3 - 3/2*m.
3*(m - 2)*(m - 1)*(m + 1)/2
Let a(u) be the second derivative of u**7/56 + u**6/8 + 3*u**5/8 + 5*u**4/8 + 5*u**3/8 + 3*u**2/8 - 9*u. Factor a(x).
3*(x + 1)**5/4
Let s(g) = 4*g - 4. Let t be s(3). Suppose -3*j = -1 - t. Suppose -1 - 3*f**2 + 3*f**4 - 2*f**j + 2*f + 1 = 0. Calculate f.
-1, 0, 2/3, 1
Factor 3*d**5 + 7*d**4 + 3*d**4 - 12*d**4.
d**4*(3*d - 2)
Let x(k) be the first derivative of -k**4/12 + k**3/3 - 20. Factor x(w).
-w**2*(w - 3)/3
Let d(z) be the third derivative of -z**6/10 + z**5/60 + 35*z**4/24 + 5*z**3/6 - 4*z**2. Let w(y) = 2*y**3 - 6*y - 1. Let p(r) = -6*d(r) - 34*w(r). Factor p(v).
2*(v - 2)*(v + 1)*(2*v - 1)
Let t(b) be the first derivative of b**4 - 16*b**3/3 + 10*b**2 - 8*b - 3. Solve t(s) = 0 for s.
1, 2
Let b(m) = 10*m**3 - 12*m**2 + 6*m. Let h(z) = -z**4 - 11*z**3 + 13*z**2 - 7*z. Let w(l) = 3*b(l) + 2*h(l). Solve w(r) = 0.
0, 1, 2
Suppose m = -4*m - 30. Let b be ((-3)/m - 1)*-6. Determine n so that -1/4 - 12*n**2 - 16*n**3 - b*n = 0.
-1/4
Let q(c) be the first derivative of -21*c**5/5 + 15*c**4/2 + 3*c**3/7 - 30*c**2/7 - 12*c/7 + 9. Let q(i) = 0. What is i?
-2/7, 1
Factor 1/4*i**3 + 0*i**2 - 1/4*i + 0.
i*(i - 1)*(i + 1)/4
Let q be 5*1*1/(0 - -1). Solve 2/3*i**4 - i**q - i + 2/3 - 4/3*i**2 + 2*i**3 = 0.
-1, 2/3, 1
Factor 4/7*b**2 - 2/7*b + 0 + 6/7*b**3.
2*b*(b + 1)*(3*b - 1)/7
Let l(n) be the first derivative of 12*n + 20/3*n**3 - 14*n**2 - 1 - n**4. Factor l(k).
-4*(k - 3)*(k - 1)**2
Let n(t) = 3*t**3 + 11*t**2 - 9*t - 5. Let f = 15 - 10. Suppose 12 = f*r - 8. Let k(c) = -c**3 - 4*c**2 + 3*c + 2. Let l(g) = r*n(g) + 11*k(g). Factor l(p).
(p - 1)**2*(p + 2)
Let i(n) be the first derivative of -n**7/105 + n**6/10 - 13*n**5/30 + n**4 - 4*n**3/3 + n**2/2 - 4. Let t(l) be the second derivative of i(l). Solve t(j) = 0.
1, 2
Let j(c) be the third derivative of -1/24*c**4 - 1/30*c**5 - 1/120*c**6 + 0 + 0*c + 0*c**3 + 8*c**2. What is n in j(n) = 0?
-1, 0
Let s(x) = -x**3 - x**2 + x. Let i(q) be the third derivative of q**6/40 + q**5/15 - q**4/24 - 5*q**2. Let b(d) = -3*i(d) - 6*s(d). Suppose b(r) = 0. What is r?
-1, 0
Let l(i) = 3*i**2 + 27*i - 30. Let c(r) = 7*r**2 + 82*r - 89. Let o(g) = -3*c(g) + 8*l(g). Factor o(h).
3*(h - 9)*(h - 1)
Let i(y) be the second derivative of -2*y**2 - 4*y - 1/30*y**5 + 1/12*y**4 + 0*y**3 + 0. Let n(x) be the first derivative of i(x). Factor n(t).
-2*t*(t - 1)
Suppose 2*c - x = 4, c + 3*x - 2 = 2*x. Factor 2*l**c - 4*l**3 + 2*l**4 + 5*l - 6*l + l.
2*l**2*(l - 1)**2
Let j(l) = -6*l - 3. Let i be j(-2). Let h = i - 6. Suppose -9 - 1/3*x**h - 3*x**2 - 9*x = 0. Calculate x.
-3
Let n be (1 - 1)/(15/(-5) + 1). Let c(r) be the third derivative of n*r - 1/60*r**6 + 2/15*r**3 - 7/60*r**4 + 1/525*r**7 + 3/50*r**5 + 2*r**2 + 0. Factor c(p).
2*(p - 2)*(p - 1)**3/5
Let i(t) be the third derivative of -t**9/30240 - t**8/10080 + t**5/60 + 2*t**2. Let q(w