2
Let v(m) = -m**2 - 15*m - 10. Let h be v(-14). Find the second derivative of -2*k**h - 3*k - k + 2*k - 2*k wrt k.
-24*k**2
What is the derivative of 4*d + 5 + 3*d**4 - 4*d + 2 wrt d?
12*d**3
What is the third derivative of -8*t**4 - 11*t**2 + 10*t**2 + 18*t**4 + 14*t**2 wrt t?
240*t
Suppose -2*x + 0 = -2*g + 12, 5*g = -5*x. Suppose 0 = 4*v - 5*a - 30, -g*v + 16 + 1 = -a. Find the first derivative of 6*y - y - 2 - y**2 - v*y wrt y.
-2*y
What is the second derivative of 2*k**3 + 16*k - 13*k**3 + 0*k**3 + 2*k wrt k?
-66*k
Let w(f) = 21*f**4 - 4*f**2 - 4*f - 8. Let p(v) = 41*v**4 - 9*v**2 - 9*v - 16. Let t(y) = 4*p(y) - 9*w(y). Find the first derivative of t(o) wrt o.
-100*o**3
Let q(c) be the first derivative of 31*c**2/2 - 23*c - 5. Differentiate q(b) with respect to b.
31
Let v(w) be the second derivative of 4*w**4 - w**3/6 + 34*w. What is the second derivative of v(t) wrt t?
96
Let f(l) be the third derivative of -1/168*l**8 + 0*l**4 + 0*l**6 + 0*l**3 + 0 + 0*l + 0*l**7 - 1/60*l**5 + 3*l**2. Find the third derivative of f(v) wrt v.
-120*v**2
Suppose 3*q + 0*q - 14 = 5*k, -3*q = k - 8. Find the second derivative of -3*n**4 - n - q*n**3 + 3*n**3 wrt n.
-36*n**2
Let r(q) be the second derivative of 3*q**5/10 + 4*q**2 - 5*q. What is the first derivative of r(m) wrt m?
18*m**2
Let g = 9 + -5. Suppose -3*l + g*v + 13 = 0, -4*l = -l + v - 8. What is the derivative of l*n**3 + 0*n**2 + 3 + 0 + 0*n**2 wrt n?
9*n**2
Let i = 125/822 + 2/137. Let n(m) be the third derivative of -2*m**2 + 0*m**4 - 1/60*m**5 + 0*m - i*m**3 + 0. Differentiate n(v) wrt v.
-2*v
Suppose -x - 1 = -3. Find the third derivative of 0*f**3 + 0*f**3 - f**2 + 4*f**x - 2*f**3 wrt f.
-12
Find the third derivative of 9*v**6 - 10*v**3 - 12*v**2 + 10*v**3 wrt v.
1080*v**3
Let n(q) = -17 + 13*q**3 + 2*q + 10*q - 3*q + 9*q**2. Let s(y) = -3*y**3 - 2*y**2 - 2*y + 4. Let o(k) = 2*n(k) + 9*s(k). Differentiate o(f) wrt f.
-3*f**2
Suppose 0 = c - 3, -5*r - 1 = -4*c + 1. Let x be r*(-1)/(-5)*15. Find the third derivative of -4*y**2 + 2*y**6 - 3*y**x + 6*y**2 wrt y.
-120*y**3
Let k(j) = j**4 - j**2 - 1. Let g(x) = -15*x**4 + 5*x**2 + 13. Let s(q) = -g(q) - 5*k(q). Differentiate s(u) with respect to u.
40*u**3
Let x(s) = 5*s**2 + s - 2. Let m be x(1). What is the second derivative of 4*h + m*h**2 + h - 4*h**2 + 8*h**3 wrt h?
48*h
What is the second derivative of 6*v**4 + 0*v + v - 3*v**4 wrt v?
36*v**2
Differentiate -12 - v + 13*v - v + 15*v wrt v.
26
Let n(f) = f**2 + f + 1. Let o(i) = 4*i + 13. Let m(x) = -4*n(x) + o(x). What is the first derivative of m(z) wrt z?
-8*z
Suppose 6 = 3*d - 3. Find the second derivative of 0*p**3 + 2*p**d - 2*p - 2*p wrt p.
12*p
Let i(r) = 2*r. Let d be i(1). Differentiate -18*t + 18*t + 6*t**d - 5 with respect to t.
12*t
Let m(g) = 9*g - 2. Let x(z) = -5*z + 1. Let f be -1*(1*-3)/1. Suppose -f*r - 6 = 9. Let a(p) = r*x(p) - 3*m(p). Differentiate a(q) with respect to q.
-2
Suppose 2*h - 3*g + 5 + 6 = 0, 2*h + 3*g = 19. What is the second derivative of 2*u**4 + 7*u**5 - u - h*u**4 - 10*u**5 wrt u?
-60*u**3
Let q(t) be the first derivative of 13*t**5/5 + 15*t - 7. What is the first derivative of q(g) wrt g?
52*g**3
Suppose 2*i + 80 = -3*i. Let x = i + 10. Let w(k) = k**2 + 8*k. Let p(z) = z. Let l(s) = x*p(s) + w(s). Find the second derivative of l(q) wrt q.
2
Suppose -34 = -4*h + 42. Suppose -x + 3*g + h = 0, 3 = -5*x + g + 28. Find the second derivative of -2*l**4 + l**x - l + 2*l**4 wrt l.
12*l**2
Let s(t) = 14*t**2 - 15*t. Let q(n) = n**2 + n. Let c(f) = -4*q(f) + s(f). Find the second derivative of c(y) wrt y.
20
Differentiate -8 - 458*h + 9*h**4 + 458*h wrt h.
36*h**3
Let m(q) be the first derivative of 3*q**4/4 - 7*q - 2. Let c(b) = 3*b**3 - 6. Let f(u) = -6*c(u) + 5*m(u). Differentiate f(y) wrt y.
-9*y**2
Find the second derivative of -5*c - 31*c + 3*c - 22*c**5 - 13*c**5 wrt c.
-700*c**3
Find the third derivative of -2*p**2 + 2*p**2 + 17*p**3 - 20*p**3 + p**2 wrt p.
-18
Let r(h) = -h + 5. Let l be r(3). Find the third derivative of 1 - l*f**5 + 3*f**2 - 1 wrt f.
-120*f**2
Let w be (2/3)/((-10)/(-45)). Suppose 2*j = -w*j + 15. Find the second derivative of -j*k**3 + 3*k**3 - k**4 - k + 0*k**3 wrt k.
-12*k**2
Suppose -16 = -3*s + 5. What is the second derivative of 2*q + s*q**4 - 7*q + q - q**4 wrt q?
72*q**2
Let g(p) = p**5 - p**4 + 1. Let i(d) = 10*d**5 - 5*d**4 - 8*d + 5. Let b(l) = -5*g(l) + i(l). Find the second derivative of b(c) wrt c.
100*c**3
Let q(k) be the third derivative of k**8/840 - 5*k**4/24 - k**3/6 + k**2. Let o(i) be the first derivative of q(i). What is the derivative of o(b) wrt b?
8*b**3
Let t = 12 + -3. Let r(h) = -5*h + 5. Let q(p) = -20*p + 20. Let b(k) = t*r(k) - 2*q(k). What is the first derivative of b(n) wrt n?
-5
Let c(t) be the first derivative of 0*t**4 - 3/5*t**5 + 0*t**3 - 5*t + 1 + 0*t**2. Find the first derivative of c(i) wrt i.
-12*i**3
Let z(f) be the third derivative of f**2 - 1/3*f**3 + 1/24*f**6 + 0*f**4 + 0 + 0*f + 0*f**5. Differentiate z(x) wrt x.
15*x**2
Differentiate -500*s**3 + 470*s**3 + 2 + 34 wrt s.
-90*s**2
Suppose -49 = 5*v - 4. Let o(f) = -f**2 - 9*f + 5. Let w be o(v). What is the third derivative of 2*d**3 - 2*d**5 - 2*d**2 - 2*d**3 + 5*d**w wrt d?
180*d**2
Let s(h) be the first derivative of 0*h**4 + 0*h**3 + 1/2*h**6 + 0*h - h**2 + 0*h**5 - 2. What is the second derivative of s(o) wrt o?
60*o**3
Let g(x) be the second derivative of 19*x**6/30 + 5*x**4/6 + 18*x. Find the third derivative of g(o) wrt o.
456*o
Let g(o) be the third derivative of -7*o**5/60 + 11*o**4/24 + 8*o**2. What is the second derivative of g(f) wrt f?
-14
Let u(a) = -a - 10. Let t be u(-13). What is the derivative of 11 + 3*h**2 - 2 + 2 - t wrt h?
6*h
Let i be ((-2)/4)/(3/(-18)). What is the first derivative of 5*f**2 - 5 - 5*f**3 + i*f**2 - 8*f**2 wrt f?
-15*f**2
Find the first derivative of 13*d**3 - 38 + 24 - 4*d + 4*d wrt d.
39*d**2
Let n(o) = 2*o**2. Let y = 1 + 0. Let c be n(y). What is the third derivative of 9*i**4 + 2*i**2 - 8*i**4 - 4*i**c wrt i?
24*i
Let u(j) = 16*j**3 + 15*j**2 - 6. Let l(a) = 17*a**3 + 16*a**2 - 7. Let p(f) = 6*l(f) - 7*u(f). What is the third derivative of p(i) wrt i?
-60
Suppose 5*r - 22 = -2. Find the third derivative of -5*t**2 + 3*t**4 + 2*t**4 - 2*t**r + 4*t**2 wrt t.
72*t
Let f(a) = 4*a**2 + 2*a - 2. Let c be f(1). Find the first derivative of c + 0*d**3 + 0*d**3 - 4*d**3 wrt d.
-12*d**2
Let a = 21 + -18. What is the derivative of -8*o + 6*o + a + 0*o wrt o?
-2
Let u be (-4)/10 + 182/5. What is the second derivative of -35*s - 3*s**4 + u*s + 7*s**4 wrt s?
48*s**2
Let i(h) be the second derivative of 0 + 0*h**4 - 1/2*h**2 - 1/10*h**5 - 2*h + 0*h**3. What is the first derivative of i(g) wrt g?
-6*g**2
What is the third derivative of -32*k**2 + 60*k**2 + 7*k**6 - 33*k**2 wrt k?
840*k**3
Find the second derivative of 0*s**5 - 21*s - s**5 + 5*s wrt s.
-20*s**3
Let a(j) = -j**3 + 5*j**2 - 2*j + 4. Let n be a(5). Let f be n/(9/(-3)) - -1. What is the third derivative of 3*d**3 + 2*d**2 - 2*d**4 - 3*d**f wrt d?
-48*d
Find the third derivative of -27*y**2 + 31*y**4 - 4*y**4 + 2*y**4 wrt y.
696*y
Let k(c) be the third derivative of 4*c**2 - 1/20*c**5 + 0*c + 0*c**3 + 0 - 1/6*c**4. What is the second derivative of k(l) wrt l?
-6
What is the third derivative of -c**2 - c**2 - 4*c**5 + c**2 - 3*c**5 wrt c?
-420*c**2
Let p(j) be the first derivative of -j**3/3 - 3*j**2 - 2. Let g be p(-6). Differentiate g*f**2 + 0*f**2 + f**3 + 1 with respect to f.
3*f**2
Let t(w) = 13*w - 24. Let z(f) = 27*f - 47. Let h(q) = 7*t(q) - 4*z(q). Differentiate h(m) wrt m.
-17
Suppose 5*p = -5 + 20. Find the first derivative of 0*f + p*f + 5 + 3*f - 4*f wrt f.
2
Let c(o) be the second derivative of o**7/35 + 5*o**3/6 + 2*o**2 - 2*o. Let f(y) be the first derivative of c(y). Differentiate f(g) wrt g.
24*g**3
Let v(c) be the third derivative of -c**8/28 - c**4/6 - 7*c**2. What is the second derivative of v(y) wrt y?
-240*y**3
Suppose 6*t - 10*t = -8. What is the third derivative of -3*m**2 - 2 + 2 + t*m**2 + 6*m**3 wrt m?
36
Suppose 3*i + i - 8 = 0. Suppose -i*n + 5 = 1. Find the third derivative of 3*k**2 - k**4 - 2*k**2 - n*k**2 wrt k.
-24*k
Let x(r) be the first derivative of -20 - r**3 - r**7 + 11 + 11 + 2*r**7. Find the third de