*b**3
Let z(b) be the second derivative of -1/15*b**6 + 0 + 0*b**4 + 4*b + 0*b**3 + 0*b**5 + b**2. Differentiate z(k) with respect to k.
-8*k**3
Let w(r) = -r**2 + r - 1. Let k = -12 + 14. Let j(u) = -4*u**2 - u - 2. Let o(x) = k*w(x) - j(x). Find the second derivative of o(v) wrt v.
4
Let y(d) = -d**3 - 9*d**2 - 8*d + 5. Let b be y(-8). Suppose -5*k + 22 = b*f + 2, -4*k = -4*f. Find the first derivative of -5 + 3*q**4 + k - q**4 wrt q.
8*q**3
What is the derivative of 4*u**4 - 217*u**3 + 7 + 217*u**3 wrt u?
16*u**3
Let j(o) = -4 + o + o**3 + 2 + 8 + o**2 - 5. Let q(r) = 12*r**3 + 2*r**2 - 9*r + 2. Let y(g) = -2*j(g) + q(g). Find the second derivative of y(h) wrt h.
60*h
Let p be -4*((-3)/4 - 0). Differentiate 45*l**2 - 45*l**2 - p + l**3 with respect to l.
3*l**2
Let r(x) = x**3 + 6*x**2 - 7*x + 9. Let d be r(-7). Find the third derivative of -2*p**2 + d*p**2 + 2*p**3 + 5 - 5 wrt p.
12
Let u(p) = p + 9. Suppose 0 = -4*y - 3*s - 51, -y - 2*y - 3*s - 42 = 0. Let d be u(y). Find the second derivative of d*h - 3*h - h**2 + h wrt h.
-2
Let i(r) = r**3 - 1. Let s(k) = 3*k**2 - 5*k + 0 + k**4 + 5*k + 3 - 3*k**3. Let l(o) = 3*i(o) + s(o). Find the third derivative of l(d) wrt d.
24*d
Suppose -5 = -5*z, -l + 0*l - z + 2 = 0. What is the first derivative of -5 - s + l - 3 + 3 wrt s?
-1
Suppose -13 = -n + 18. What is the third derivative of -31*c + n*c - c**2 + 4*c**3 wrt c?
24
Find the second derivative of -9*w + 16*w - 10*w**2 + w**2 wrt w.
-18
What is the third derivative of 2*p**3 - 9*p**2 + 4*p**2 + 5*p**3 - 5*p**2 wrt p?
42
Let m be 99/18 + 2/(-4). What is the second derivative of 5*b**m + 2*b + 0*b**5 + 3*b wrt b?
100*b**3
Let t(d) = d**3 - 5*d**2 + 5*d - 2. Let u be t(3). Let p = u + 8. Find the third derivative of -c**p + c**2 + 0*c**2 + 3*c**3 wrt c.
12
Let u(i) = -3*i**4 + 2*i**3 - 2*i**2 - 5. Let r(s) = 7*s**4 - 5*s**3 + 5*s**2 + 11. Let g(b) = -2*r(b) - 5*u(b). Differentiate g(w) wrt w.
4*w**3
Let d(v) = -5*v**4 + 2*v**3 + 2*v. Let q(r) = 9*r**4 - 5*r**3 - r**2 - 5*r. Let w(i) = 5*d(i) + 2*q(i). Find the third derivative of w(t) wrt t.
-168*t
Let j(d) be the second derivative of 3*d**5/2 - 17*d**2 + 29*d. Find the first derivative of j(t) wrt t.
90*t**2
Let o(r) be the second derivative of r**9/5040 + r**6/720 - r**4/12 - r. Let l(y) be the third derivative of o(y). Find the second derivative of l(h) wrt h.
36*h**2
Suppose -2*r = 3*d - 0*d - 22, -r = 2*d - 13. Suppose 0 = 5*v - 4*v. Find the second derivative of -i**5 + v*i**r + 2*i + 0*i**5 wrt i.
-20*i**3
Let g(i) = 8*i**2 - 12. Let u(o) be the first derivative of 0*o**2 + 2/3*o**3 - 3 - 3*o. Let n(r) = -2*g(r) + 9*u(r). Differentiate n(m) with respect to m.
4*m
Let d(y) = 0*y + y + 2 - 3*y**2 - y. Let r(m) be the second derivative of m**4/12 - m. Let z(f) = d(f) + 2*r(f). Differentiate z(n) wrt n.
-2*n
Let t(k) = k**3 + 11*k**2 + 9*k - 4. Let s be t(-10). What is the third derivative of g**2 + 3*g**6 + 9*g**6 + g**s - 4*g**6 wrt g?
1080*g**3
Let r(c) = 3*c - 3. Let f(w) = -16*w + 14. Let u be -1*1 - (-5 + 2). Let p(h) = u*f(h) + 11*r(h). Differentiate p(v) wrt v.
1
Let w(r) = -r + 10. Let h be w(6). What is the second derivative of h*d**2 - 3*d - d**2 - 3*d - 5*d**2 wrt d?
-4
Let t(i) = 2*i**3 + 3*i**2 - 14*i. Let j(u) = u**3 - u**2 - u. Let l(g) = -3*j(g) - t(g). Find the second derivative of l(a) wrt a.
-30*a
Let y(s) = -11*s - 1. Let g(o) = 3 - 5 + 7*o + 3 + 3*o. Let i(p) = 7*g(p) + 6*y(p). What is the first derivative of i(v) wrt v?
4
Let r(z) = 25*z**3 + 3*z**2 - 3*z + 18. Let p(q) = 75*q**3 + 8*q**2 - 8*q + 55. Let l(o) = 3*p(o) - 8*r(o). Differentiate l(a) with respect to a.
75*a**2
Find the first derivative of -4 + 0 - 6*d**4 + d**4 - 10 wrt d.
-20*d**3
Let o(t) = 26*t**5 + 5*t**2 + 25*t + 5. Let w(j) = -13*j**5 - 2*j**2 - 12*j - 2. Let v(d) = 2*o(d) + 5*w(d). Find the second derivative of v(f) wrt f.
-260*f**3
Suppose 3*n - n = 10. Suppose -n = -4*m + 7. Differentiate 1 - m*x + 0 + x with respect to x.
-2
Let q be 5/10 - (-3)/2. Let h = 1 + q. What is the second derivative of -h*k**3 + 2*k**3 + k**3 + 4*k - 2*k**4 wrt k?
-24*k**2
Suppose 2*k = -2*k + 16. Let t(w) be the first derivative of -3/4*w**k + 2 + w + 0*w**2 + 0*w**3. What is the first derivative of t(d) wrt d?
-9*d**2
Let a(h) be the first derivative of 21*h**5/5 + 3*h**4/4 - 24*h**2 - 50. Find the second derivative of a(u) wrt u.
252*u**2 + 18*u
Let l(i) = -i - 11. Let p(h) = 6*h + 54. Let z(s) = 16*l(s) + 3*p(s). Find the first derivative of z(o) wrt o.
2
Let i(d) = 5*d + 8. Let k(s) be the first derivative of s**2/2 + s - 2. Let y(b) = 2*i(b) - 14*k(b). Differentiate y(j) with respect to j.
-4
Let f = 4 + -4. Suppose 16 = -f*x + 4*x, -5*x + 17 = -w. What is the second derivative of k + k - 6*k - 2*k**3 + w*k wrt k?
-12*k
Let j(d) be the second derivative of -d**6/90 + d**4/12 + d**3/2 - 3*d. Let m(n) be the second derivative of j(n). Differentiate m(y) wrt y.
-8*y
Let k(z) be the first derivative of 0*z**2 + 1/5*z**5 + 0*z - 5 + 4/3*z**3 + 0*z**4. What is the third derivative of k(n) wrt n?
24*n
Suppose 3*a - 15 = -2*a. What is the first derivative of 0 + 1 - v**3 + 4*v**3 - a wrt v?
9*v**2
Suppose -2*h - 2 = -4*h - 4*p, -4*h = 5*p - 7. Differentiate l**2 - 2 - l**2 - 4 + 5*l**h with respect to l.
15*l**2
Let j(d) = 10*d - 57. Let p be j(6). Let w(l) be the first derivative of 0*l**3 + 3/5*l**5 + 0*l**4 - p - 2*l + 0*l**2. Differentiate w(a) with respect to a.
12*a**3
Let h = -9 - -13. Differentiate h*p**3 + p**3 - 5*p**3 + 2 - 4*p**3 with respect to p.
-12*p**2
Let a(q) be the third derivative of -2*q**2 + 0*q**5 + 0*q - 1/210*q**7 + 0*q**3 + 0 + 0*q**6 + 1/24*q**4. Find the second derivative of a(u) wrt u.
-12*u**2
Find the third derivative of -12*t**5 + 35*t**2 + 0*t**5 - 11*t**5 wrt t.
-1380*t**2
Let w(c) be the second derivative of 1/6*c**4 - 1/20*c**5 + 0 + 0*c**2 + 0*c**3 - 3*c. Find the third derivative of w(o) wrt o.
-6
Let c(z) = z**4 - z**3 + z**2 - z + 1. Let s(g) = -15*g**4 - 3*g**3 + 3*g**2 + 3. Let o(r) = -3*c(r) + s(r). What is the second derivative of o(d) wrt d?
-216*d**2
Let b = -9 + 5. Let h be (-14)/(-6) - b/6. Find the third derivative of h*u**2 - 4*u**6 - u**6 + 2*u**6 wrt u.
-360*u**3
Let k(c) = c**3 + c**2 + 1. Let u(y) = 22*y**3 + 4*y**2 + y - 36. Let g(s) = -4*k(s) + u(s). Differentiate g(p) wrt p.
54*p**2 + 1
Let y(u) be the second derivative of u**8/840 + u**4/12 - 2*u**3/3 - 4*u. Let g(s) be the second derivative of y(s). Find the first derivative of g(d) wrt d.
8*d**3
Find the second derivative of -3*y**2 + 5*y**2 + 111*y - 114*y wrt y.
4
Suppose 2*q = 9 + 1. Let h(o) be the second derivative of 0*o**2 + 0 - 2*o + 1/10*o**6 + 0*o**3 + 0*o**q - 1/12*o**4. Find the third derivative of h(r) wrt r.
72*r
Find the second derivative of -839*g**3 - 16*g - 12*g**4 + 839*g**3 wrt g.
-144*g**2
Suppose 5 = -5*a + 5*x, 1 + 2 = 2*a + 3*x. Suppose -t + 6 - 3 = a. Find the second derivative of 0*z - 2*z - 3*z + 2*z + t*z**3 wrt z.
18*z
Let b be 2 + (0 - 0)/3. What is the third derivative of -8*t**3 + 4*t**3 - 3*t + 2*t**b + 3*t wrt t?
-24
Let m(h) = -2 + 2 - h - 3 + 2 + h**3 - h**2. Let r(y) = -8*y**3 + 5*y**2 + 7*y + 5. Let s(b) = -5*m(b) - r(b). What is the second derivative of s(p) wrt p?
18*p
What is the third derivative of 64*m**5 + 7*m - m**2 + 6*m**2 - 2*m**2 wrt m?
3840*m**2
Let p(a) be the first derivative of 13*a**4/4 + 7*a**3 - 19. What is the third derivative of p(d) wrt d?
78
Let m = 15 - 11. Find the first derivative of -m*w**2 - 4 - 2*w**2 + 5*w**2 - 3*w**2 wrt w.
-8*w
Let v(z) = -13*z + 6. Let m(n) = -14*n + 7. Let w(h) = -5*m(h) + 6*v(h). Find the first derivative of w(a) wrt a.
-8
Let q(s) = s**2 - 1. Let k be q(-1). Let a = k + 0. What is the derivative of a*l + 1 + l + 0*l wrt l?
1
Let c(f) = -3*f - 1. Let w be c(-2). Find the second derivative of 0*g + 0*g**w + g**5 - 4*g wrt g.
20*g**3
Find the second derivative of -40*m - 47*m**2 - 4*m**2 - 2*m**2 + 16*m**2 wrt m.
-74
Let j(u) = 14*u**2 - 5. Let g(q) = -q**4 + 14*q**2 - 4. Let l(v) = 5*g(v) - 4*j(v). Find the third derivative of l(r) wrt r.
-120*r
Suppose 0*m - m - 2*n = -12, 0 = m + 3*n - 16. Find the second derivative of -3*y + 4*y**4 - 3*y**m + 6*y wrt y.
12*y**2
Let q(j) be the second derivative of j**6/2 + 7*j**4/12 - 2