- f - 21 with respect to f.
7
Let i(b) be the first derivative of 1/7*b**7 + 0*b**2 + 0*b**5 + 1 + 0*b**4 + b**3 + 0*b**6 + 0*b. What is the third derivative of i(m) wrt m?
120*m**3
Let t(o) = o**2 - o. Let q(z) = -25*z**3 + 2*z**2 - 2*z + 42. Let x(u) = -q(u) + 2*t(u). Differentiate x(n) wrt n.
75*n**2
Differentiate 9 - 4*p**3 + 2*p**3 - 3*p**3 + 7 with respect to p.
-15*p**2
Let v(n) = -n**4 - n**3 - n. Let l(s) = 71*s**5 - 3*s**4 - 3*s**3 + 20*s - 2. Let h(r) = -l(r) + 3*v(r). Find the second derivative of h(o) wrt o.
-1420*o**3
Let x(i) = 44*i**4 - 6*i**2 + 7*i. Let u(d) = -d**4 + d**2 - d. Let n(c) = 6*u(c) + x(c). Find the second derivative of n(v) wrt v.
456*v**2
Let t(d) be the second derivative of d**3/6 + d**2/2 + 2*d. Let p be t(3). Find the first derivative of -h**4 + 2*h**4 + 0*h**p - 2 wrt h.
4*h**3
Let f be (-20)/(-36)*-3 + 2. Let i(a) be the first derivative of f*a**3 - a**2 + 0*a + 1. What is the second derivative of i(d) wrt d?
2
Let u(k) = -k**6 - k**4 - k**2 - k - 1. Let c(w) = -w**6 + 2*w**4 - 8*w**2 + 2*w + 2. Let z(n) = c(n) + 2*u(n). Find the third derivative of z(r) wrt r.
-360*r**3
Suppose -1 = 2*c - 5. Find the second derivative of r**2 + r + 0*r + 0*r**c wrt r.
2
Let h(g) be the first derivative of 6*g**5/5 + 2*g - 7. Find the first derivative of h(r) wrt r.
24*r**3
Find the second derivative of 75*w**5 - 4*w - 41*w**5 - 39*w**5 wrt w.
-100*w**3
Let z be (-2 + 1)/(1/2). Let r be (5/15)/(z/(-18)). What is the second derivative of q - 2*q + 3*q - r*q**4 wrt q?
-36*q**2
Let m(l) be the first derivative of -2*l**7/21 + l**4/3 - 4*l - 8. Let g(i) be the first derivative of m(i). Find the third derivative of g(j) wrt j.
-240*j**2
What is the second derivative of -5*l + 2*l**2 + l**2 + 2*l**2 - l**2 wrt l?
8
Let l = -6 + 11. Suppose -l*q + 0*h = -5*h, 36 = 4*q + 5*h. Find the second derivative of 4*g + 8 + 5 - 13 - q*g**2 wrt g.
-8
Let p(u) be the first derivative of -32*u**3/3 - 2*u**2 + 4*u - 39. Find the second derivative of p(l) wrt l.
-64
Let i(p) = 76*p**4 + 7*p**3 - 13*p + 7. Let d(o) = 51*o**4 + 5*o**3 - 9*o + 5. Let c(k) = 7*d(k) - 5*i(k). What is the second derivative of c(w) wrt w?
-276*w**2
Let n = 5 - 1. Let q = 7 + -7. Differentiate 2*j**n + 1 + 1 + q with respect to j.
8*j**3
Let q(f) be the first derivative of -f**6/30 + f**2/2 - 3*f - 3. Let a(p) be the first derivative of q(p). Find the first derivative of a(j) wrt j.
-4*j**3
Let i(k) = 10*k**5 - k**4 - k**2. Let m(z) = z**5 - z**4 - z**2 + z. Let h(q) = i(q) - m(q). Find the second derivative of h(j) wrt j.
180*j**3
Let w(y) be the third derivative of -y**8/21 - y**5/10 - 15*y**2. Find the third derivative of w(v) wrt v.
-960*v**2
Find the second derivative of 139 - 4*z + 7*z**5 - 139 wrt z.
140*z**3
Suppose -g + 20 = 4*o, o = -2*g - 6 + 18. Suppose 19 = l - o*q - 3, -3*l - 9 = 3*q. Differentiate 0*p**3 + 0*p**3 + 1 + l*p**3 wrt p.
6*p**2
Let g(i) = i - 5. Let x be g(7). Find the second derivative of 8*v + x*v**4 - 10*v**4 + 2*v**4 wrt v.
-72*v**2
What is the first derivative of 2128 + 8*g**4 - 2160 - 45*g**4 wrt g?
-148*g**3
Let i(p) be the third derivative of p**10/75600 - p**6/180 - p**5/30 - p**2. Let l(c) be the third derivative of i(c). Differentiate l(u) with respect to u.
8*u**3
Suppose -3*i = -4*i - 4*k - 16, -2*i = -3*k - 23. Differentiate -1 + 0 - 1 + 1 - 3*p**i with respect to p.
-12*p**3
Find the second derivative of 3*r**4 + 4*r - 1 + 1 wrt r.
36*r**2
Let x(j) be the first derivative of 7*j**5/60 + 5*j**3/6 - j**2/2 - 2. Let f(g) be the second derivative of x(g). What is the first derivative of f(h) wrt h?
14*h
Let x(o) = -o**2 - 6*o + 2. Let t be x(-6). Find the second derivative of -4*g**2 + 6*g**3 - g**3 + 4*g**t + 3*g wrt g.
30*g
Let o = 157 - 97. Find the second derivative of -60*d**3 - d - 4*d**5 + o*d**3 wrt d.
-80*d**3
What is the derivative of 7*c - 8 + 4*c - 3 wrt c?
11
Find the second derivative of 10*r - 7*r**2 + 5*r**2 - 6*r**2 wrt r.
-16
Suppose -5*c = x - 7, -5*x + c + c = -8. Find the third derivative of -2*m**2 + 5*m**x + 0*m**3 + 0*m**3 - 2*m**4 wrt m.
-48*m
Find the second derivative of 12*c**2 - c**2 - 34*c + 22*c**2 wrt c.
66
Suppose -3*u = -4 - 2. Let t be (-10)/(-6) - 4/(-12). Differentiate t*p - 2*p - 2 - u*p with respect to p.
-2
Let n(r) be the third derivative of 8*r**2 + 0*r + 0*r**4 + 4/105*r**7 + 0*r**6 + 0*r**5 - 2/3*r**3 + 0. Find the first derivative of n(c) wrt c.
32*c**3
Let p(v) be the third derivative of -3*v**7/70 - v**4/8 + 8*v**2. Find the second derivative of p(q) wrt q.
-108*q**2
Let y(m) be the third derivative of 7*m**6/30 + 7*m**3/2 - 20*m**2. Differentiate y(x) wrt x.
84*x**2
Let m(d) be the first derivative of -34*d**3/3 + 13*d**2 - 2*d - 45. Find the second derivative of m(x) wrt x.
-68
Let q(v) be the first derivative of -3*v**4/2 + v + 8. What is the first derivative of q(t) wrt t?
-18*t**2
Let r(y) be the second derivative of y**9/252 + y**5/60 - y**2 - y. Let o(z) be the first derivative of r(z). What is the third derivative of o(h) wrt h?
240*h**3
Let i = 10 + 0. Suppose -5*l + i = -5*t, 8 = 2*l + 2*l - 5*t. What is the derivative of 2 + 0*g**2 - 4*g**2 + l wrt g?
-8*g
Suppose -4*h = -4*i - 76, -2*i = h - 4*i - 23. Let n be (6/h)/((-1)/(-5)). What is the first derivative of 2*c**2 + c**2 - 4*c**n - 2 wrt c?
-2*c
Find the first derivative of -4 - 5*n**2 + 7 - 4 wrt n.
-10*n
Let u(n) be the third derivative of -n**7/30 - 2*n**5/15 + 6*n**2. Find the third derivative of u(o) wrt o.
-168*o
Let s = -91 + 343. What is the first derivative of 2*x**4 - x**2 - s + x**2 + 253 wrt x?
8*x**3
Let c(u) = u**2 + 9*u + 11. Let a be c(-8). Find the third derivative of -5*t**2 - 6*t**3 + 2*t**3 + 6*t**a wrt t.
12
Let a be (-10)/(-6) + (-5)/(-15). Suppose 3*s - a = 2*s. What is the third derivative of -c**4 + 2*c**4 - 5*c**s + c**2 + 0*c**4 wrt c?
24*c
Let p = -12 - -14. Let j(l) be the first derivative of -2 + 0*l**p + 3/4*l**4 - l + 0*l**3. Differentiate j(v) with respect to v.
9*v**2
Find the third derivative of -14*b**2 - 3*b**2 - 4*b**3 + 8*b**2 wrt b.
-24
Let c(z) = 6*z**3 - 5*z**2 + 13*z - 5. Let j(x) = -9*x**3 + 8*x**2 - 20*x + 8. Let y(k) = -8*c(k) - 5*j(k). What is the second derivative of y(t) wrt t?
-18*t
Let m(w) = w**2 + w. Let n(u) = 3*u. Suppose 0 = -2*h + 5*b - 23, -h - b = 4*h - 10. Let d(g) = h*n(g) + 3*m(g). What is the second derivative of d(c) wrt c?
6
Let v(p) = 3*p**2 - 5*p. Let q be v(2). What is the third derivative of -k**2 + 7*k**q + 6*k**6 - 4*k**6 wrt k?
240*k**3
Let k(p) be the first derivative of -p**5/15 - p**3/6 - 2*p**2 - 2. Let i(b) be the second derivative of k(b). Differentiate i(g) with respect to g.
-8*g
Let j(a) = -2*a**3 + 1. Let b(q) = 8*q**3 + 33. Let t(u) = b(u) + 6*j(u). What is the derivative of t(s) wrt s?
-12*s**2
Suppose 5 + 1 = -2*d - 2*v, 2*v = -10. Suppose 14 + 0 = 4*w - 2*q, 2*q = 5*w - 16. What is the first derivative of y - y + d + y**w wrt y?
2*y
Differentiate 7 - 6*v + 6*v - 5*v wrt v.
-5
Let l be (-1)/(-1) - (0 + 1). Let b(j) be the second derivative of 1/4*j**4 + 1/2*j**2 + l - 2*j + 0*j**3. Differentiate b(q) wrt q.
6*q
Let r(w) = -w**2 + 6. Let i be r(0). Suppose 2*j - 8 = 2*s, -4*j - s + 26 = -0*j. Find the third derivative of d**6 - d**2 - 4*d**i + d**j wrt d.
-240*d**3
What is the second derivative of 7*h**5 - 6*h**5 - 9*h - 9*h**5 wrt h?
-160*h**3
Let o(n) = 4*n**3 + 3*n**2 - 3*n - 3. Let t(m) = -m**2 + m. Let s(w) = o(w) + 3*t(w). Find the first derivative of s(a) wrt a.
12*a**2
Suppose -2*f + 14 = -0*f + 3*m, -2*m + 12 = 4*f. Find the first derivative of 4 - 3*l - 1 - f wrt l.
-3
Let m(z) be the first derivative of -6*z**2 + 10*z + 4. What is the first derivative of m(q) wrt q?
-12
Let g(n) be the first derivative of n**8/112 - n**5/15 - 3*n**2 - 1. Let w(p) be the second derivative of g(p). What is the third derivative of w(q) wrt q?
180*q**2
Let a(g) be the third derivative of -g**7/210 + 47*g**3/6 - 28*g**2. What is the first derivative of a(q) wrt q?
-4*q**3
Let a(n) = -2*n + 1. Let q be a(-1). What is the derivative of -2*c**2 + 0 + 6*c**2 + q wrt c?
8*c
Let c(z) = -24*z**5 - 6*z**4 - 15*z. Let x(q) = 49*q**5 + 13*q**4 + 30*q. Let k(m) = 13*c(m) + 6*x(m). What is the second derivative of k(i) wrt i?
-360*i**3
Let n(c) be the third