- z**4 - 1 wrt z?
4*z**3
Find the first derivative of -3*h - h - 3 - 8 wrt h.
-4
Let t(l) = -4*l**5 + l**4 + l**3 - 3*l. Let a(c) = c**5 - c**4 - c**3 - c. Let s(q) = a(q) + t(q). Find the second derivative of s(f) wrt f.
-60*f**3
What is the second derivative of -8*z**4 - 3*z + 136*z**3 - 136*z**3 wrt z?
-96*z**2
Let c(w) = w**2 + w - 2. Let l be c(2). What is the third derivative of l*g**4 + 0*g**4 + 0 - 3*g**2 + 0 wrt g?
96*g
Let s(w) be the second derivative of 0 - 4*w + 0*w**2 - 3/20*w**5 + 0*w**3 + 1/4*w**4. Find the third derivative of s(a) wrt a.
-18
Let t(r) = -4. Suppose -g + 2 = 3*l, -2*l = 3*l. Let a(c) = c**2 - 5. Let m(v) = g*a(v) - 3*t(v). What is the derivative of m(w) wrt w?
4*w
Let u(s) be the third derivative of -s**8/1680 - s**6/360 + s**3 + 6*s**2. Let q(i) be the first derivative of u(i). Find the third derivative of q(v) wrt v.
-24*v
Let m(v) be the third derivative of -4*v**2 + 0*v**3 + 0 + 0*v + 5/24*v**4 + 1/15*v**5. What is the second derivative of m(t) wrt t?
8
What is the second derivative of -5*o**5 + 5*o + o**5 + 3*o**5 wrt o?
-20*o**3
Let t(q) be the first derivative of 7*q**6/6 - 2*q**2 + 2. Find the second derivative of t(x) wrt x.
140*x**3
Let g(d) be the third derivative of d**6/15 + d**3/3 - 6*d**2. What is the first derivative of g(s) wrt s?
24*s**2
Let t(f) be the second derivative of f**5/20 + 3*f**4/2 + 7*f**3 + 23*f. Find the second derivative of t(j) wrt j.
6*j + 36
Suppose -5*o = -25 - 0. Let w = -3 + o. Find the third derivative of 2*y**w - 4*y**2 - y**4 - y**2 + 2*y**4 wrt y.
24*y
Let l(s) be the first derivative of 4*s**5 - 10*s**2 + 20. What is the second derivative of l(c) wrt c?
240*c**2
Suppose -5*i = r, 12 = -3*i - 4*r - 5. Let h = 0 + 2. What is the first derivative of g - 5 + h + i wrt g?
1
Let w(o) be the second derivative of -1/10*o**6 - 2*o + 0*o**2 + 0 + 0*o**5 + 0*o**4 + 1/3*o**3. Find the second derivative of w(u) wrt u.
-36*u**2
Suppose -3*u + 1 + 1 = c, -4 = -2*c + 5*u. What is the first derivative of 1 - c*b - 1 + 3 - b wrt b?
-3
Suppose 0 = -v - 1, 0 = -i - 2*v + 8. Let g = i + -7. What is the third derivative of -c**6 - g*c**2 + 5*c**2 - 5*c**2 wrt c?
-120*c**3
Let a(v) be the first derivative of -9*v**4/2 + 15*v + 5. Differentiate a(b) with respect to b.
-54*b**2
Let z(n) = -3*n + 0*n - 1 - 4*n + 3. Let w(r) = 6*r - 1. Let q(u) = -6*w(u) - 5*z(u). What is the first derivative of q(o) wrt o?
-1
Let h(r) = -r + 1. Let j be h(-3). Differentiate -5*d**j + d**4 + 2*d**4 - 3 with respect to d.
-8*d**3
Let o(i) be the first derivative of -17*i**3/3 - 15*i + 16. Differentiate o(n) wrt n.
-34*n
Let f(v) be the first derivative of -v**4/6 - 4*v**3/3 - 3*v**2 - 1. Let t(x) be the second derivative of f(x). Find the first derivative of t(w) wrt w.
-4
Let g(m) = m. Let b(o) be the first derivative of 3/2*o**2 - 4*o - 5 - o**3. Let k(l) = b(l) - 3*g(l). Find the first derivative of k(f) wrt f.
-6*f
Let o = -3 + 5. Suppose -3*z + 11 = c, -o*z + 4 = -0*z + 4*c. What is the derivative of z*m - 1 - m**4 - 4*m wrt m?
-4*m**3
Let k(w) = -54*w**4 + 60*w**2. Let p(q) = 11*q**4 - 12*q**2. Let x(v) = 3*k(v) + 14*p(v). Find the third derivative of x(c) wrt c.
-192*c
Let k be 4/6 - 48/(-9). Let m = k - 4. What is the second derivative of q**m - q**2 + 2*q + 2*q**2 + 0*q wrt q?
4
Let n = -3 + 5. What is the derivative of -4*s**n - 2 - 4 + 3*s**2 wrt s?
-2*s
Let i(l) be the third derivative of -11*l**8/336 + 5*l**4/24 - 23*l**2. What is the second derivative of i(f) wrt f?
-220*f**3
Let z(m) = 12*m + 18. Let t(w) = 6*w + 9. Let i(f) = -13*t(f) + 6*z(f). Differentiate i(a) wrt a.
-6
Let w(b) be the first derivative of 4*b**3 + 27*b**2/2 - 29. Find the second derivative of w(r) wrt r.
24
Let t(i) = i**3 + i**2 - i - 1. Let f(p) = 3*p**4 + 9*p**3 + 2*p**2 - 5*p - 2. Let d(c) = -f(c) + 2*t(c). Find the second derivative of d(r) wrt r.
-36*r**2 - 42*r
Let w(x) be the third derivative of -x**8/1680 - x**6/360 + x**3/2 - 2*x**2. Let d(v) be the first derivative of w(v). Find the third derivative of d(b) wrt b.
-24*b
Let o(p) = -p**3 + 4*p**2 + 7*p - 7. Let y be o(5). Let l be (-2 - -1)/((-2)/6). Find the first derivative of -2*g**3 - 2*g**y + 6*g**l + 1 wrt g.
6*g**2
Let y(s) = -2*s. Let c be y(-6). Suppose -a - g = 0, 3*g + c = a + 2*a. Find the second derivative of a*b**2 + 2 + 3*b - 2 wrt b.
4
Let c(t) = -t. Let m be c(-4). Let k(q) = -7*q**4 + 7*q. Let s(x) = 14*x**4 - 13*x. Let h(l) = m*s(l) + 7*k(l). What is the second derivative of h(b) wrt b?
84*b**2
Let m(s) = s - 1. Let z be m(-3). Let n be 2/z*0 + 2. Find the second derivative of 4*d - 2*d - n*d**5 + d**5 wrt d.
-20*d**3
Suppose 1 + 24 = -5*r. Let g = 7 + r. What is the third derivative of 2*h**3 - 2*h**2 + 5*h**g - 2*h**2 wrt h?
12
Let p(u) = 7*u**4 + 4*u**3 + 5*u**2 + 4. Let w(y) = -y**4 + y**3 + y**2 + 1. Let g(m) = p(m) - 4*w(m). Find the third derivative of g(b) wrt b.
264*b
Let h(p) be the second derivative of 4*p**5/5 - 5*p**4/6 + 2*p. Find the third derivative of h(l) wrt l.
96
Let l(v) be the third derivative of v**6/5 + v**5/10 - 19*v**2. Find the third derivative of l(j) wrt j.
144
Find the third derivative of 4*y**2 + y - y + 6*y**3 - 12*y**2 wrt y.
36
Let r(x) = -4*x**4 - 15*x**3 + 2*x**2 + 17*x + 2. Let z(g) = -g**4 - g**3 + g**2. Let i(m) = r(m) - 2*z(m). Find the second derivative of i(n) wrt n.
-24*n**2 - 78*n
What is the second derivative of -2*j**2 + 3*j + 6*j - 4*j - 8*j**2 wrt j?
-20
Find the third derivative of 704 - 704 + 59*l**5 + 32*l**2 - 18*l**5 wrt l.
2460*l**2
Let c = -2231/24 - -93. Let i(k) be the third derivative of c*k**6 - 1/3*k**3 + 0*k**5 + 0*k + 0 + 4*k**2 + 0*k**4. What is the first derivative of i(v) wrt v?
15*v**2
Let u be 43/2 - 3/2. Find the first derivative of -l**3 - 3*l**3 - 23 + u wrt l.
-12*l**2
Suppose -4*c + 6 + 4 = -2*x, x + 5*c - 16 = 0. Let u = 2 + 2. Differentiate -4 - u*v + x + 6*v with respect to v.
2
Let t(l) be the second derivative of l**7/35 - l**5/30 + 2*l**2 + 6*l. Let u(b) be the first derivative of t(b). What is the third derivative of u(h) wrt h?
144*h
Let i(r) be the first derivative of -4*r**2 + 2 - 3*r - 5*r**2 + 11*r**2. Differentiate i(d) with respect to d.
4
Let z(p) be the third derivative of -p**6/360 + p**4/12 + 2*p**3/3 + 4*p**2. Let w(q) be the first derivative of z(q). Differentiate w(a) with respect to a.
-2*a
Let b(t) = t**2 + t + 1. Let z(m) = 22*m**2 + 3*m - 2. Let a(w) = -4*b(w) - 2*z(w). Find the second derivative of a(j) wrt j.
-96
Let f(v) be the second derivative of -v**6/30 - v**4/4 + 2*v. What is the third derivative of f(o) wrt o?
-24*o
Let c(q) be the first derivative of -11*q**5/5 + 7*q**2/2 - 11. Find the second derivative of c(l) wrt l.
-132*l**2
Let z(j) be the third derivative of 3*j**7/70 - 5*j**5/12 + 8*j**2. What is the third derivative of z(l) wrt l?
216*l
Let b = -3 + 7. What is the second derivative of -3*s**4 - 3*s**4 - s**4 + 4*s**b - 5*s wrt s?
-36*s**2
Find the third derivative of -8*j**2 + 4*j**5 - 14*j**5 + 2*j**5 wrt j.
-480*j**2
Let n(s) be the third derivative of -s**9/5040 + s**7/840 - s**4/8 + 2*s**2. Let c(x) be the second derivative of n(x). Find the third derivative of c(i) wrt i.
-72*i
Let z = -3 + 9. What is the third derivative of 0*r**z + r**6 - 3*r**2 - r**6 + r**6 wrt r?
120*r**3
What is the first derivative of -76*o**2 + 87*o**2 - 7 - 30 + 2*o**3 wrt o?
6*o**2 + 22*o
Let k(l) be the first derivative of -l**7/7 + 9*l**4/2 + 17*l**3 + 9. What is the third derivative of k(f) wrt f?
-120*f**3 + 108
Let c(l) = -2*l**2 - l - 2. Let k be c(2). Let s be (-32)/k - (-2)/(-3). Find the second derivative of 5*h**2 + h**3 - 4*h**2 - h**s - h wrt h.
6*h
Let l(d) = -d**2 - 1. Let g(w) = 2*w**2 - 5. Let f be 2/(2 + -3 + 3). Let c(q) = f*g(q) - l(q). What is the first derivative of c(u) wrt u?
6*u
Let w = 6 + -4. Suppose 3*m - 5 = w*m. What is the third derivative of 0*k**5 + 5*k**2 + 2*k**m - 4*k**2 wrt k?
120*k**2
Let x(a) be the third derivative of 0*a - 6*a**2 - 1/8*a**4 - 1/2*a**3 + 0. Differentiate x(h) with respect to h.
-3
Let f = -3 + 6. Differentiate 3*j**f - 3 - 2 + 0*j**3 - j**3 with respect to j.
6*j**2
Let x(k) be the first derivative of -k**8/336 + k**4/12 - k**3/3 + 3. Let h(c) be the third derivative of x(c). Differentiate h(r) 