e second derivative of 4*v - 10*v + 39*v**4 + 3*v + 22*v**4 wrt v?
732*v**2
Let z(o) = 2*o**4 - 6*o + 5. Let q(j) = j**4 - 6*j + 6. Let f(d) = -5*q(d) + 6*z(d). Find the second derivative of f(c) wrt c.
84*c**2
Let n(o) be the second derivative of -o**7/105 + o**5/60 - o**2 + 3*o. Let c(p) be the first derivative of n(p). What is the third derivative of c(r) wrt r?
-48*r
Let n(t) be the first derivative of 1/7*t**7 + 0*t**6 + 0*t**2 - 4/3*t**3 + 0*t**4 + 0*t + 0*t**5 - 4. What is the third derivative of n(p) wrt p?
120*p**3
Let j be (-22)/(-99) + 50/18. Differentiate 15 + w**j - 11 - 3*w**3 wrt w.
-6*w**2
Let p(u) be the second derivative of u**9/504 + u**5/20 + u**2 + u. Let h(l) be the first derivative of p(l). What is the third derivative of h(g) wrt g?
120*g**3
Suppose -6 = -3*n - 2*b - 3*b, 3*b = 0. Differentiate 1 - 2*f**2 + 2*f**2 + n*f**2 with respect to f.
4*f
Let a(f) = -f**4. Let g(o) = 2*o**4 - o**2. Suppose 5*b - 20 = 5*r, 0 = -0*r + 3*r + b + 8. Let d(l) = r*g(l) - 4*a(l). Find the third derivative of d(t) wrt t.
-48*t
What is the third derivative of 32*n - n**5 - 32*n - 31*n**2 wrt n?
-60*n**2
What is the third derivative of -13*b**5 - 2*b**6 + 3*b**5 - 3*b**5 + 17*b**2 wrt b?
-240*b**3 - 780*b**2
Let y(j) be the second derivative of -11*j**4/12 - j**3/6 - 13*j**2 + 7*j - 3. What is the second derivative of y(i) wrt i?
-22
Let y(v) be the second derivative of 1/12*v**4 + 0 + 2*v - 1/2*v**2 + 0*v**3. What is the first derivative of y(g) wrt g?
2*g
Suppose -5*k = 20, -3*h = 2*h + 5*k. Suppose 8*l - 10 = 3*l. What is the third derivative of y**h + 2*y**l - y**2 - 2*y**2 wrt y?
24*y
Let c(f) be the third derivative of 17*f**7/210 + 11*f**5/60 + 7*f**2. What is the third derivative of c(w) wrt w?
408*w
What is the third derivative of -9*m**2 + m**2 - 4*m**5 + 7*m**5 wrt m?
180*m**2
Let d = 415/3 - 137. Let s(g) be the first derivative of 0*g**2 + 3 - 3*g + d*g**3. What is the derivative of s(z) wrt z?
8*z
Let l(r) = -39*r**4 + 11*r**3 + 11*r - 21. Let u(b) = -20*b**4 + 6*b**3 + 6*b - 11. Let g(c) = -6*l(c) + 11*u(c). Find the first derivative of g(n) wrt n.
56*n**3
Let i(l) be the first derivative of -4*l**5/5 - 7*l**3/3 - 41*l**2/2 + 56. What is the second derivative of i(u) wrt u?
-48*u**2 - 14
Let k(z) = z**3 - z**2 + z. Let b(v) = 7*v**3 - 3*v**2 + 3*v - 8. Let g(i) = b(i) - 3*k(i). Differentiate g(y) wrt y.
12*y**2
Suppose 3*h = g - 14, -2*g = h + 3*h + 12. Let w be (-8 + 2)*h/6. Differentiate 2 + 0*o**4 - 3 + o**w with respect to o.
4*o**3
Let b(l) be the second derivative of l**8/7 - 5*l**4/6 - 6*l. Find the third derivative of b(j) wrt j.
960*j**3
What is the second derivative of 32*r - 12*r - 1 - 14*r**2 + 1 wrt r?
-28
Differentiate -3*i + i**4 - 3 + 3*i + 0 wrt i.
4*i**3
Let p(x) be the second derivative of -3*x**8/28 + x**4 - 6*x. What is the third derivative of p(y) wrt y?
-720*y**3
Let f(w) be the second derivative of -w**8/840 - w**4/12 - w**3/3 + 2*w. Let y(k) be the second derivative of f(k). Find the first derivative of y(a) wrt a.
-8*a**3
Let h(t) be the third derivative of 3*t**5/20 - 2*t**3/3 + t**2. Differentiate h(l) with respect to l.
18*l
Let a(y) = -60*y**3 + 6*y**2 - 6*y - 23. Let r(c) = -60*c**3 + 5*c**2 - 5*c - 22. Let m(h) = -5*a(h) + 6*r(h). Differentiate m(b) with respect to b.
-180*b**2
Suppose 2*l + 4 = -a + 12, -3*l + a + 7 = 0. Find the third derivative of -5*d**3 + 4*d**2 + 0*d**l + 2*d**3 - 8*d**2 wrt d.
-18
Find the second derivative of m - 4*m - 36*m**4 + 36*m**4 - 9*m**5 wrt m.
-180*m**3
Differentiate 10*g**2 - 23*g**2 + 47 - 4*g**3 + g**3 + 11*g**2 wrt g.
-9*g**2 - 4*g
Suppose 2 = 2*p - 2. What is the first derivative of -6 + 2 + 2*s**2 + p wrt s?
4*s
Let x(w) = 43*w**3 + 20*w**2 + 5. Let g(p) = -43*p**3 - 19*p**2 - 4. Let m(t) = -5*g(t) - 4*x(t). What is the third derivative of m(h) wrt h?
258
Let t(l) = 56*l**2 - 6*l - 21. Let w(v) = -113*v**2 + 13*v + 43. Let n(c) = 13*t(c) + 6*w(c). What is the derivative of n(j) wrt j?
100*j
Let h be 5 + 7/(21/(-6)). What is the second derivative of -2*g**5 - 2*g + h*g**5 + 7*g + 4*g**5 wrt g?
100*g**3
Suppose 7 = -0*z + 5*z + 3*n, 2*z = 4*n + 8. What is the second derivative of 3*b + 2*b**z - 3*b**5 + 7*b**5 - 2*b**2 wrt b?
80*b**3
Suppose -3*g + 2 = -2*g. Let o(s) be the first derivative of 0*s**4 + 0*s**3 + 1/5*s**5 + 0*s**2 - g*s + 3. What is the derivative of o(c) wrt c?
4*c**3
Find the third derivative of -4*a**5 - 5*a**3 - 9*a**2 + 7*a**5 - 26*a**3 + 11*a**3 wrt a.
180*a**2 - 120
Let w(v) be the third derivative of -2*v**7/105 - v**6/24 - 2*v**4/3 - 3*v**2. Find the second derivative of w(u) wrt u.
-48*u**2 - 30*u
Let m(n) = -30*n**3 - 2*n + 23. Let w(f) = 90*f**3 + 7*f - 69. Let k(x) = 7*m(x) + 2*w(x). What is the first derivative of k(a) wrt a?
-90*a**2
Let b(i) be the third derivative of -i**9/72 - i**5/10 + 11*i**2. Find the third derivative of b(s) wrt s.
-840*s**3
Let k be -2 + 3/(6/8). What is the third derivative of 0*p**2 - k*p**2 - 3*p**4 + 3*p**3 - 3*p**3 wrt p?
-72*p
Suppose 3*o = 2*o + 3. What is the second derivative of -o*v + 5 - 5 + 3*v**2 - v**2 wrt v?
4
Let k = -2 + 2. What is the third derivative of 4*w**2 - 3*w**5 - 2*w**2 + 2*w**5 + k*w**2 wrt w?
-60*w**2
Let n(p) = -13*p**2 - 18*p + 161. Let l(h) = -4*h**2 - 6*h + 54. Let s(w) = -7*l(w) + 2*n(w). Differentiate s(d) with respect to d.
4*d + 6
Let k(r) be the third derivative of -7*r**6/60 + 31*r**5/60 - 42*r**2. Find the third derivative of k(f) wrt f.
-84
Find the third derivative of 264*l**5 + 7*l**2 - 135*l**5 - 143*l**5 wrt l.
-840*l**2
What is the third derivative of -28*u**6 + 3*u**6 - 21*u**2 + 13*u**2 wrt u?
-3000*u**3
Let s be (6/4)/(3/10). Let p(c) be the second derivative of -3/2*c**2 + 2*c + 0*c**3 + 0 + 1/20*c**s + 0*c**4. Differentiate p(w) wrt w.
3*w**2
Differentiate 16*h**2 - 5*h**2 - 12*h**2 - 8*h**2 + 59 - 3*h with respect to h.
-18*h - 3
Let d(n) be the third derivative of 0*n + 0*n**4 - 5/6*n**3 + 0 + 0*n**5 + 0*n**6 + 7*n**2 + 1/70*n**7. Differentiate d(s) with respect to s.
12*s**3
Find the second derivative of a + 4*a - 5*a**4 - 6*a - 2*a wrt a.
-60*a**2
What is the third derivative of s**3 - s**2 + 15 + s**3 + 23*s**6 - 5 - 4 wrt s?
2760*s**3 + 12
Let t(d) = 7*d**2 - 3. Suppose 4*f = -0 - 12. Let o(n) = 4*n**2 - 1. Let b(u) = f*t(u) + 5*o(u). Find the first derivative of b(g) wrt g.
-2*g
Let b(i) be the first derivative of 11*i**4/4 - 4*i**2 + 6. What is the second derivative of b(r) wrt r?
66*r
Let g(m) = -8*m - 3. Let j(v) = 3 - 11*v - 4 - 2 + 2*v. Let w(x) = 7*g(x) - 6*j(x). Find the first derivative of w(b) wrt b.
-2
Suppose -o + 5*u + 2 = -2*o, -3*u + 3 = 2*o. Let d be 4/(o/2 - 1). Find the first derivative of d*c**3 - c**2 - 6*c**3 + c**2 + 4 wrt c.
6*c**2
Let o = 14 + -9. What is the first derivative of -7 - 2 + o*z**2 - 2*z**2 + 15 wrt z?
6*z
Let j(q) be the first derivative of 3*q**4/4 - 13*q**2/2 - 1. What is the second derivative of j(h) wrt h?
18*h
Find the first derivative of 18*w**3 - 11*w**3 - w**2 + 1 + w**2 wrt w.
21*w**2
Let c(m) be the second derivative of m**8/3360 - m**5/20 + m**4/12 + 3*m. Let w(z) be the third derivative of c(z). Differentiate w(u) with respect to u.
6*u**2
Let i(d) be the first derivative of -2*d**3/3 - 3*d**2/2 + 3. Let u(y) = 3*y**2 + 6*y. Let l(n) = -9*i(n) - 5*u(n). Find the second derivative of l(t) wrt t.
6
Let u(g) be the third derivative of -5*g**9/504 - g**5/12 - 8*g**2. Find the third derivative of u(f) wrt f.
-600*f**3
Suppose 0 = -k - 0*d + d, -5*k + 4*d = -2. Find the second derivative of 5*v - 4*v - 4*v**2 + 2*v**2 + 3*v**k wrt v.
2
Let d(u) = 15*u**2 + 6*u + 13. Let a(f) = -f. Let h(g) = -6*a(g) - d(g). Find the first derivative of h(l) wrt l.
-30*l
Let x(c) = -c**2 - 12*c + 18. Let m be x(-13). Suppose -4*p = -4 - 12. Find the third derivative of -3*j**2 - m*j**4 - j**p + 5*j**4 wrt j.
-24*j
Let b(j) be the third derivative of 0*j**7 + 0*j - 1/15*j**5 - 1/84*j**8 + 0*j**4 + 0*j**3 + 0*j**6 + 8*j**2 + 0. What is the third derivative of b(a) wrt a?
-240*a**2
Let f(j) = 8*j**2 + 6*j + 2. Let y(s) = 6 + 31*s**2 + 14*s + 3*s - 8*s**2. Let c(b) = 17*f(b) - 6*y(b). Differentiate c(k) with respect to k.
-4*k
Let w(a) be the third derivative of a**6/60 - 13*a**4/24 + 4*a**2. What is the second derivati