3*f**2
Let w(l) be the first derivative of -3/5*l**5 + 0*l**2 + 0*l**3 + l - 4 + 0*l**4. Find the first derivative of w(k) wrt k.
-12*k**3
Suppose 5*o = o + 16. Let b = o - 2. What is the second derivative of -3*u**2 - 2*u + 2*u**2 + b*u**2 wrt u?
2
Let a(t) be the third derivative of t**9/3024 + t**6/360 + t**3/3 + 3*t**2. Let o(r) be the first derivative of a(r). Find the third derivative of o(c) wrt c.
60*c**2
What is the first derivative of -3 - 85*z**3 + 4 + 93*z**3 wrt z?
24*z**2
Let c = 17 + -15. What is the first derivative of 3*v**3 - 2 + 1 - c*v**3 wrt v?
3*v**2
Let k(c) be the second derivative of -c**3/6 + c**2 + c. Let p be k(0). Find the second derivative of -1 + 1 - p*r + 3*r**2 - r**2 wrt r.
4
Let r(h) = 20*h**3 - 7*h**2 - 6*h. Let c(k) = 39*k**3 - 13*k**2 - 11*k. Let d(f) = 6*c(f) - 11*r(f). What is the third derivative of d(n) wrt n?
84
Let n(k) = 14*k**4 + 8*k**3 - 8*k + 10. Let z(v) = 5*v**4 + 3*v**3 - 3*v + 3. Let a(w) = 3*n(w) - 8*z(w). Find the first derivative of a(d) wrt d.
8*d**3
Let r = -4 - -4. Suppose 6*f - f - 25 = r. Differentiate -f*i**4 + 2*i**4 + i**4 - 1 wrt i.
-8*i**3
Let r = -3 - -4. Let q be 2 + -2 - (r - 3). Differentiate -2*x - 5 + q + 2 wrt x.
-2
Let q(p) = -p**3 + 11*p**2 - 10*p + 4. Let k be q(10). Let t = 0 + k. What is the derivative of -4*a**3 + t*a**3 + 2 - a**4 + 0*a**3 wrt a?
-4*a**3
Suppose -5*y + 86 = -4. Let n = y + -11. What is the second derivative of -n*f**3 - f + 6*f**3 + 2*f wrt f?
-6*f
Let a(n) be the second derivative of 5/3*n**3 + 0*n**4 + 1/5*n**5 + 0*n**2 + 3*n + 0. What is the second derivative of a(v) wrt v?
24*v
Let c(w) = w**2 - 3*w - 6. Let q be c(5). What is the second derivative of 4*d**4 + 0*d**q + 0*d + 2*d - 3*d wrt d?
48*d**2
Let t(i) be the first derivative of 7*i**4/2 - 9*i**3 - 23. What is the third derivative of t(l) wrt l?
84
Find the third derivative of -t**5 - 2*t**5 + 0*t**5 - 26*t**2 + 48*t**2 wrt t.
-180*t**2
Suppose 5*q - 5 = -j + 11, -5*q + 14 = -j. Differentiate 7*s**4 + 6*s - 6*s - s**4 - j with respect to s.
24*s**3
Let s be (6 - 6)/((-1)/(-1 + 2)). Let l(b) be the second derivative of -1/3*b**3 + b + 0 + 1/6*b**4 + s*b**2. Find the second derivative of l(n) wrt n.
4
Find the first derivative of -6*d**3 - 24*d**2 + 2*d - 6*d**2 + 10 + 30*d**2 wrt d.
-18*d**2 + 2
Let z be 2/(3/(-9) - -1). Suppose -z = 2*h - 3*h. Find the second derivative of 5*m**h - 9*m + 6*m + 0*m wrt m.
30*m
Let q(u) = 7*u**5 + 11*u**2 - 4*u - 4. Let v(x) = x**2 - x - 1. Let f = 11 - 12. Let p(c) = f*q(c) + 4*v(c). Find the third derivative of p(h) wrt h.
-420*h**2
Let c(b) be the second derivative of b**8/2240 - b**6/144 - b**4/6 + 4*b. Let f(h) be the third derivative of c(h). Find the second derivative of f(s) wrt s.
18*s
What is the second derivative of 9*s + 30*s**3 - 8*s**3 + 34*s wrt s?
132*s
Let h(t) be the second derivative of t**6/3 + 6*t**2 - 23*t. What is the first derivative of h(v) wrt v?
40*v**3
Suppose 5*z - 12 = -4*q + 86, -5*q = -5*z + 80. What is the second derivative of a - 7*a + z*a**4 - 10*a**4 wrt a?
96*a**2
Differentiate 12*m**3 - 4 - 5*m**3 - m**3 + 14 wrt m.
18*m**2
Let o(r) = -21*r + 12. Let z(w) = 126*w - 73. Let y(d) = -34*o(d) - 6*z(d). Differentiate y(n) with respect to n.
-42
Let t(q) = 9*q**2 - 1. Let u(a) = 13*a**2 - 2. Suppose -5 = 3*r - 2*r. Let i(n) = r*u(n) + 7*t(n). What is the derivative of i(c) wrt c?
-4*c
Let c(m) be the first derivative of -3*m**8/56 - m**4/6 - 3*m + 3. Let o(h) be the first derivative of c(h). Find the third derivative of o(d) wrt d.
-360*d**3
Let i(z) = 7*z**2 + 5. Let x be 3/(-1 + -2) - 3. Let y be -4 + 3 - (-3 + -1). Let s(l) = 6*l**2 + 4. Let a(b) = x*s(b) + y*i(b). Differentiate a(j) wrt j.
-6*j
Find the third derivative of 11*q**2 + 3 + 2 - 5 + 6*q**4 wrt q.
144*q
Let m = 9 - 7. What is the second derivative of 6*n**m - 11*n + 3*n + 7*n wrt n?
12
Differentiate -4*h**2 + 3*h**2 + 0*h**2 + 8*h**2 - 6 with respect to h.
14*h
What is the derivative of 12 + 24*v**3 - 7*v**3 + 3 wrt v?
51*v**2
Let h(q) be the third derivative of -4*q**2 - 1/3*q**4 + 0*q**3 + 0*q**5 + 0*q**7 - 3/112*q**8 + 0*q + 0 + 0*q**6. What is the second derivative of h(v) wrt v?
-180*v**3
Let t be (1/(-3))/((-3)/27). What is the third derivative of w**2 + 18 - 18 - 5*w**4 + t*w**4 wrt w?
-48*w
What is the second derivative of -15 - 2*p - 5*p + 15 - 5*p**2 wrt p?
-10
Let s(h) = -h. Let x(q) = -2*q**2 + 16*q + 4. Let f(w) = -48*s(w) - 3*x(w). Find the first derivative of f(b) wrt b.
12*b
Let u(f) be the first derivative of 0*f**5 + 0*f + 1/3*f**3 - 5/6*f**6 - 7 + 0*f**4 + 0*f**2. Find the third derivative of u(x) wrt x.
-300*x**2
Let b(a) = a**3 - 7*a**2 + 7*a - 4. Let m be b(6). Suppose 0*q - 3*q = -f - 6, 0 = m*f. What is the third derivative of 2*n**5 - 2 + 3*n**q + 2 wrt n?
120*n**2
Let d(s) be the first derivative of 7/5*s**5 + 2 + 0*s**4 - 6*s + 0*s**2 + 0*s**3. Differentiate d(n) wrt n.
28*n**3
Let w(c) = -1 + 0*c - 4 + c. Let b be w(5). Find the third derivative of 3*j**2 - 2*j**2 - 2*j**6 + b*j**2 wrt j.
-240*j**3
Let t be ((-4)/(-3))/(6/9). Suppose 18 = t*n + n. Differentiate -n + 3 + q**2 + 2*q**4 - q**2 with respect to q.
8*q**3
Let t(y) be the third derivative of -3*y**5/20 + 7*y**4/24 - 5*y**2. Find the second derivative of t(f) wrt f.
-18
Let w(j) be the second derivative of -j**7/21 - 3*j**4/4 + 10*j. Find the third derivative of w(u) wrt u.
-120*u**2
Let h(a) = 10*a**3 + 4*a**2 + 6*a - 4. Let p(z) = 11*z**3 + 3*z**2 + 7*z - 3. Let g(d) = 3*h(d) - 4*p(d). What is the second derivative of g(s) wrt s?
-84*s
Let k(d) be the second derivative of 9*d**5/20 - d**4/6 + 4*d. Find the third derivative of k(f) wrt f.
54
Differentiate 45 - 213*c - 209*c + 461*c wrt c.
39
Differentiate -t + 5 + 0*t + 1 wrt t.
-1
Let n(r) be the third derivative of -r**7/70 - 3*r**4/8 + 2*r**2. What is the second derivative of n(a) wrt a?
-36*a**2
Suppose 1 - 3 = -2*v. Let a(t) be the first derivative of 0*t**2 - v + 0*t**3 - 2*t + 0*t**4 + 2/5*t**5. What is the first derivative of a(m) wrt m?
8*m**3
Let p(f) = 3*f**2 + 11*f + 4. Let z(w) = 6*w**2 + 21*w + 9. Let j(y) = 9*p(y) - 4*z(y). Find the second derivative of j(t) wrt t.
6
Let v(d) = 3*d**2. Let c be v(-1). Suppose 2*l - 9 = -f + 2*f, 0 = -c*l - 5*f - 19. Find the second derivative of 2*r**4 + 0*r - l*r - r**4 + 2*r**4 wrt r.
36*r**2
Let p(t) be the second derivative of t**5/60 + t**3/2 + t**2/2 + 3*t. Let g(m) be the first derivative of p(m). What is the derivative of g(q) wrt q?
2*q
Let a(i) = -6*i - 12. Let g(s) = 13*s + 23. Let q(n) = 5*a(n) + 3*g(n). Differentiate q(d) wrt d.
9
Let m(p) be the second derivative of 31*p**4/12 - 4*p**3/3 + p**2 - 7*p. What is the second derivative of m(a) wrt a?
62
Let y(w) be the third derivative of w**4/4 + w**3/3 - 2*w**2. What is the first derivative of y(p) wrt p?
6
Let k(o) be the third derivative of o**8/16 - 19*o**4/24 + 15*o**2. What is the second derivative of k(r) wrt r?
420*r**3
Let o(i) = -i**5 - i**3 - i**2 + i - 1. Let k(b) = b**5 - 2*b**3 - 2*b**2 + 9*b - 2. Let q(d) = k(d) - 2*o(d). What is the second derivative of q(v) wrt v?
60*v**3
Let o(g) = -g**2 + 6*g - 3. Let q(l) = -l - 1. Let i be q(-6). Let p be o(i). Differentiate 2*j**2 + p*j - 2 + 6 - 2*j with respect to j.
4*j
Let y be (-1)/((-1)/3*1). Differentiate y*f**4 - 4 - 2*f**4 + 1 wrt f.
4*f**3
Let s(k) be the second derivative of 0 + 3*k + 0*k**4 + 0*k**3 + 0*k**5 - 5/2*k**2 - 1/5*k**6. Differentiate s(a) with respect to a.
-24*a**3
What is the first derivative of 3 - 2*y**2 + 0*y**2 - 7 + 0*y**2 wrt y?
-4*y
Differentiate 12 - 6*c**2 - 3*c**2 - 3 + 2*c**2 wrt c.
-14*c
Find the second derivative of 7*k - k**2 + k**2 - 3*k**2 wrt k.
-6
Find the first derivative of 0 - 20*m**4 + 21*m**4 - 1 wrt m.
4*m**3
Let u(r) = -2*r**2 + r**2 - r - 3*r**2 + 4 - r. Let f(g) = g**5 + 3*g**2 + g - 3. Let n(h) = 4*f(h) + 3*u(h). Find the second derivative of n(q) wrt q.
80*q**3
Let c(y) be the second derivative of y**4/6 + 9*y**2/2 - 5*y. Differentiate c(z) with respect to z.
4*z
Suppose 5*t - 10 = 2*z, 2*t = 5*t + 3*z - 6. Find the second derivative of -2*r**5 - r**2 + r**2 - t*r wrt r.
-40*r**3
Let w(p) = p**2 + 4*p. Let g be w(-5). Let v(h) = h**3 - 5*h**2 + h - 5. Let s be v(g). What is the second derivative of x + 7