- 7*n - 1. Let o(p) = -p**3 + p. Let v(r) = -14*o(r) - 2*q(r). Differentiate v(c) wrt c.
-6*c**2
Let d = 17 + -15. Find the third derivative of -30*p**6 + 2*p**d + 25*p**6 - 5*p**2 wrt p.
-600*p**3
What is the third derivative of 7*t**4 - 5*t**2 + t**4 - 5*t**4 wrt t?
72*t
Let f(d) = d**2 + 5*d. Let h be f(-5). Let o(s) = -s + 3. Let b be o(0). Find the first derivative of -1 - y**3 - y**3 + h*y**b wrt y.
-6*y**2
What is the third derivative of -5*v**2 + 4*v**2 - 4*v**6 + 3*v**6 - 9*v**2 wrt v?
-120*v**3
Let p(q) be the third derivative of -q**7/70 + q**4/12 - 6*q**2. What is the second derivative of p(v) wrt v?
-36*v**2
Let g(h) be the first derivative of 8/5*h**5 + 0*h**3 + 0*h**2 + 5 - 8*h + 0*h**4. Differentiate g(r) wrt r.
32*r**3
Let j(l) be the second derivative of -l**5/120 + l**4/12 + l**3/6 + 2*l. Let i(o) be the second derivative of j(o). What is the first derivative of i(r) wrt r?
-1
Let r(q) = 27*q - 7. Let k(g) = -13*g + 3. Let a(i) = -13*k(i) - 6*r(i). Find the first derivative of a(n) wrt n.
7
Let f(i) be the third derivative of i**8/56 + i**4/4 - 3*i**2. Find the second derivative of f(z) wrt z.
120*z**3
Let q(x) = 25*x**2 - 17. Let c(r) = 24*r**2 - 16. Let z(s) = 7*c(s) - 6*q(s). Differentiate z(l) with respect to l.
36*l
What is the derivative of -16 + 0 - 7*k**3 + 38*k**3 - 11 wrt k?
93*k**2
Let i(g) be the second derivative of g**7/6 + g**3/6 - 7*g. Find the second derivative of i(l) wrt l.
140*l**3
Let q = 3 - 3. Let t(v) be the first derivative of v + 1 + 0*v**2 + q*v**3 - 1/4*v**4. Differentiate t(y) wrt y.
-3*y**2
Suppose 5*g - 2*g + 18 = 3*s, 0 = -3*s - 3*g - 6. Suppose s*b + 6 = 5*b. Differentiate -2*f**b + f + 1 - f wrt f.
-4*f
What is the second derivative of 40*o**3 - 20*o**3 - 30*o - 20*o**3 + 34*o**4 wrt o?
408*o**2
Suppose o - 24 = -4*n + 4*o, 13 = -n - 4*o. Find the first derivative of -3*l**3 - n + 4*l**3 + 4 wrt l.
3*l**2
Let v(j) = 2 + 3*j**2 - 1 + 2*j**3 - j**3 - 2*j + 3*j**2. Let n be v(-6). What is the second derivative of 2*q - 10*q**5 + 0*q + n*q**5 wrt q?
60*q**3
What is the second derivative of 30*n**3 + 29*n**3 - 59*n**3 + 40*n - 21*n**5 wrt n?
-420*n**3
Let c(r) = -r + 6. Suppose 3*o - 8*o + 20 = 0. Let v be c(o). What is the derivative of -s + 0*s + 2*s - v wrt s?
1
Suppose -2*b + 97 + 59 = 0. Find the first derivative of -n**3 + 2 + b*n - 78*n wrt n.
-3*n**2
Find the third derivative of 7*i**2 + 5*i**5 - 9*i**2 + i**5 - i**5 wrt i.
300*i**2
Suppose -8 = -3*n + n. What is the third derivative of 19*u**6 - u**2 - n*u + 4*u - 16*u**6 wrt u?
360*u**3
What is the third derivative of -10*w**2 + 50*w - 2*w**6 - 50*w - 9*w**6 wrt w?
-1320*w**3
Let x(b) be the second derivative of -4*b**6/5 + b**4/12 + 6*b. What is the third derivative of x(y) wrt y?
-576*y
Let q(x) be the third derivative of 1/6*x**3 + 0 + 1/20*x**5 + 0*x**4 + 2*x**2 + 0*x. What is the first derivative of q(b) wrt b?
6*b
What is the second derivative of 6*v**4 - 13*v - 8*v**4 + 11*v**2 - 11*v**2 wrt v?
-24*v**2
Let t(g) = 35*g**2 + 22. Let x(l) = 18*l**2 + 11. Let a(m) = 4*t(m) - 7*x(m). What is the derivative of a(v) wrt v?
28*v
Let f(u) = -9*u**3 - 11*u**2 - 4*u - 4. Let r(b) = 9*b**3 + 11*b**2 + 3*b + 3. Let a(h) = 3*f(h) + 4*r(h). Find the third derivative of a(l) wrt l.
54
Let c(u) = 1. Let b(f) = -2*f**2 - 2*f - 1. Let x be (-6)/4*(-2)/(-3). Let v(s) = x*b(s) - c(s). Find the second derivative of v(g) wrt g.
4
Let l(d) be the second derivative of -d**7/840 - d**4/24 - d**3/6 - 3*d. Let s(a) be the second derivative of l(a). Differentiate s(m) wrt m.
-3*m**2
Let q(g) = -4*g**3 - 5*g + 19. Let y(r) = -3*r**3 - 6*r + 20. Let u(z) = 6*q(z) - 5*y(z). Find the first derivative of u(x) wrt x.
-27*x**2
Let m(p) be the second derivative of -1/6*p**4 + 3/2*p**2 + 2*p + 0 + 0*p**3. What is the derivative of m(h) wrt h?
-4*h
Find the second derivative of 9*h + 5*h + 12*h + 9*h**2 wrt h.
18
Let m(j) = j**3 + j**2 + 2*j + 1. Let i(r) = 56*r**4 - 2*r**3 - 2*r**2 - 6*r - 25. Let f(u) = i(u) + 2*m(u). Find the second derivative of f(q) wrt q.
672*q**2
What is the third derivative of -a**3 - 10*a**2 + 12*a**3 - 11*a**2 wrt a?
66
Suppose -n - 2*j - 2 = -5*j, 5*n + 2*j - 24 = 0. Find the third derivative of 2*u**4 + 4*u + 5*u**n - 4*u + 3*u**2 wrt u.
168*u
Let z(i) be the third derivative of 5*i**2 + 0 + 5/6*i**3 + 0*i**4 - 1/30*i**6 + 0*i**5 + 0*i. Find the first derivative of z(t) wrt t.
-12*t**2
Let k be (1/5)/((-5)/(-25)). Find the first derivative of k - g + 3 + 0 wrt g.
-1
Find the second derivative of -4*g**3 - 3*g**3 + 6*g**3 - 7*g + 2*g**3 wrt g.
6*g
Suppose 0*b - 5*b = -10. Find the third derivative of 3*m**6 + 3*m**b + m**6 - m**2 - 6*m**6 wrt m.
-240*m**3
Find the third derivative of 36*b**3 + 19 - 15*b**3 + 14*b**2 - 19 wrt b.
126
Let y(x) be the third derivative of x**6/144 - x**5/24 + x**4/8 + 5*x**2. Let g(n) be the second derivative of y(n). Differentiate g(a) wrt a.
5
Let b(c) be the first derivative of -c**5/5 + 11*c**4/4 + 2*c**3/3 + 35*c**2/2 + 60. What is the third derivative of b(k) wrt k?
-24*k + 66
Let z be (-140)/(-18) + 2/9. Suppose 11 = -y + 5*t, 0 = -5*y + 3*t + t + z. What is the second derivative of -p**4 - 4*p**y + 4*p**4 + p wrt p?
-12*p**2
Suppose 0 = 5*k + 3*j - 27, -2*k + 4*j + 0*j - 10 = 0. What is the second derivative of -4*c - c**4 + 2*c + k*c**4 + 0*c wrt c?
24*c**2
Let x(s) be the third derivative of -s**7/30 + s**6/60 + s**5/20 + s**3/3 + 46*s**2. Find the third derivative of x(a) wrt a.
-168*a + 12
What is the third derivative of 182 + 43*f**4 + 187 + 66*f**2 - 369 wrt f?
1032*f
What is the second derivative of 14*k + 3*k - 3*k + 2*k**3 + 0*k**3 wrt k?
12*k
Let o(i) be the first derivative of -9*i**5/5 + 11*i + 10. What is the first derivative of o(m) wrt m?
-36*m**3
Let c(b) = -7*b + 9. Let p(s) = -s + 1. Let i(f) = -c(f) + 6*p(f). Differentiate i(n) wrt n.
1
Suppose 4*t + 2*a - 22 = 0, 3*t + a = 6*t - 14. Let s = 9 - t. Find the second derivative of -s*x**5 + x**5 + 2*x**5 + 2*x wrt x.
-20*x**3
Find the third derivative of -6*h**2 + 4*h**4 - 3*h**6 - 4*h**4 + 15*h**2 wrt h.
-360*h**3
Let b(c) be the third derivative of -1/12*c**4 + 0*c + 0 + 0*c**6 + 0*c**3 + 3*c**2 + 1/105*c**7 + 0*c**5. Find the second derivative of b(z) wrt z.
24*z**2
Let o(w) = 6*w + 22. Let p(s) = 1. Let l(d) = o(d) - 6*p(d). Find the first derivative of l(u) wrt u.
6
Let x be (-4)/22 - (-24)/11. Let y(b) = -b + 2. Let i(d) = d**3 + d + 1. Let z(a) = x*i(a) - y(a). What is the second derivative of z(u) wrt u?
12*u
What is the third derivative of 0*f + 3*f**2 + 39*f**4 + 4*f - 3*f - 6*f**2 wrt f?
936*f
Let t(n) = -n - 2. Let u be t(-4). Find the second derivative of 11*b**2 - 10*b**2 + u*b + 3*b**2 wrt b.
8
Let y(r) be the first derivative of -2*r**5/5 + r**3/6 - 7*r + 2. Let g(t) be the first derivative of y(t). Find the second derivative of g(f) wrt f.
-48*f
Let d(z) = 3*z**3 - 7*z**2 + 18*z + 2. Let b(x) = 3*x**3 - 7*x**2 + 19*x + 2. Let g(m) = 6*b(m) - 5*d(m). What is the second derivative of g(q) wrt q?
18*q - 14
Let q be (-2)/(-5) - 6/15. Let f = 0 - -3. Differentiate -f + q*s + s + s wrt s.
2
What is the second derivative of -6 + r**3 + 6 + 5*r**3 + 4*r wrt r?
36*r
Let g = 13 + -9. Find the third derivative of 7*y**2 + g*y**2 - 6*y**2 + y**6 + 0*y**2 wrt y.
120*y**3
Differentiate -7 + 13*s - 4 + 4 wrt s.
13
Let o(r) be the second derivative of -r**7/210 + 2*r**3/3 - r**2 + 2*r. Let n(w) be the first derivative of o(w). What is the first derivative of n(u) wrt u?
-4*u**3
Suppose -2*a = 2*a - t - 21, 2*a - t - 13 = 0. Find the second derivative of -r + r**4 - r**a - 2*r**4 + 3*r wrt r.
-24*r**2
Let a(y) be the first derivative of 2*y**3/3 - 15*y**2/2 + 17. Find the second derivative of a(u) wrt u.
4
Let l(k) = k**3 + 5*k**2 - k - 3. Let o be l(-5). What is the second derivative of q - o*q + 0*q - 3*q**4 wrt q?
-36*q**2
Let s(c) be the third derivative of -c**7/35 + c**5/60 + 25*c**3/3 + 17*c**2. Find the third derivative of s(w) wrt w.
-144*w
Let a(l) = -3*l - 1. Let s be a(-1). What is the third derivative of -9*j**5 + 5*j**5 + 4*j**2 - 2*j**s wrt j?
-240*j**2
Let i = -31 + 31. Let y(b) be the second derivative of i*b**2 + 1/15*b**6 + 0*b**4 + 1/6*b**3 + 2*b + 0 + 0*b**5. What is the second derivative of y(c) wrt c?
24*c**2
