rd derivative of a(q) wrt q.
180
Let v(n) = -2*n - 13. Let d be v(-10). Let p = -5 + d. Find the third derivative of 2*z**2 + 2*z**2 - z**2 + p*z**6 wrt z.
240*z**3
Let p(v) be the third derivative of v**2 + 1/20*v**5 + 0 + 0*v**4 + 2/3*v**3 + 0*v. Differentiate p(b) with respect to b.
6*b
Differentiate -27*x - 20 + 27*x + 9*x**2 with respect to x.
18*x
Let i(g) be the third derivative of 0 + 0*g + 0*g**6 + 0*g**4 + 8*g**2 + 1/10*g**5 - 1/70*g**7 + 0*g**3. Find the third derivative of i(s) wrt s.
-72*s
Suppose 4 = 3*m - g - 12, -5*g = -2*m + 15. What is the first derivative of -11*b**4 + m*b**4 - 3 + b**4 wrt b?
-20*b**3
Let d(p) be the second derivative of 2*p**7/21 - 5*p**4/12 + 5*p. Find the third derivative of d(l) wrt l.
240*l**2
What is the third derivative of -5*o**3 + o**3 - 7*o**3 + 14*o**2 + 0*o**3 wrt o?
-66
Let q(w) be the second derivative of 0*w**4 + 0*w**3 + w**2 + w + 0*w**5 + 0 + 1/15*w**6. What is the first derivative of q(c) wrt c?
8*c**3
Suppose -3*l + 16 = -l. Let p = l - 6. What is the third derivative of 4*f**p - 2*f**6 - f**2 - 2*f**2 wrt f?
-240*f**3
Let y(g) be the first derivative of g**4/4 + g + 7. What is the derivative of y(h) wrt h?
3*h**2
Let g be 0 + 2 - 0 - 0. Suppose -4*a = -3*a - 3. What is the second derivative of -a*m + 3*m + m + 2*m**g wrt m?
4
Find the second derivative of 39*m + 14*m**5 - 59*m + 0*m**5 wrt m.
280*m**3
Let b(v) = -v**3 + 3*v**2 - 5. Let d(u) = -u**2 + 1. Let i(z) = b(z) + 3*d(z). What is the first derivative of i(g) wrt g?
-3*g**2
Differentiate -6*i**3 - 3*i**3 - 6 - 5 wrt i.
-27*i**2
Let w(p) = 4*p**4 - 2*p**3 - 2*p**2 - p. Let f(k) = k**4 - k**3 - k**2 - k. Let u(j) = -2*f(j) + w(j). Find the second derivative of u(r) wrt r.
24*r**2
Let f(n) be the first derivative of n**6/3 - 53*n**5/5 - 7*n**3 - 76. What is the third derivative of f(o) wrt o?
120*o**2 - 1272*o
Find the third derivative of 7*j**2 - j**2 + 19*j**3 + 13*j**2 + 2*j**3 wrt j.
126
Let p(t) be the third derivative of 3*t**6/40 - 7*t**5/60 - 7*t**2. Find the third derivative of p(u) wrt u.
54
Let t(l) be the first derivative of l**5/15 + l**4/12 + 5*l**2/2 + 3. Let a(v) be the second derivative of t(v). What is the second derivative of a(n) wrt n?
8
Let p(v) be the third derivative of -v**7/2520 - v**6/240 - v**5/12 + 4*v**2. Let k(c) be the third derivative of p(c). Differentiate k(x) with respect to x.
-2
Suppose 0 = -4*m + 4*d - 16, d + 0 = 3. Let p = 7 + m. What is the third derivative of -3*q**2 - 8*q**5 + 2*q**p + 8*q**5 wrt q?
240*q**3
Let b(t) be the second derivative of -1/12*t**4 + 1/2*t**3 + 0*t**2 + 0 + 2*t. What is the second derivative of b(l) wrt l?
-2
Let j(z) = -z**3 - 2*z + 1. Let v(w) = -w**3 - w + 1. Let m(b) = 3*j(b) - 6*v(b). What is the first derivative of m(t) wrt t?
9*t**2
Let j(x) = -14*x**3 - x**2 + x. Let g be j(1). Let w be g/(-3) + (-10)/15. Find the second derivative of 2*a - 4 + w + 2*a**2 wrt a.
4
Suppose 0 = 2*h - 3 - 7. What is the second derivative of -8*s**h - 4*s - 15 + 15 + s wrt s?
-160*s**3
Let b(z) be the second derivative of 19*z**4/12 - 3*z**2/2 + 31*z. Differentiate b(k) with respect to k.
38*k
Let a(q) be the second derivative of -17*q**4/12 - 13*q**2/2 + 7*q. What is the first derivative of a(x) wrt x?
-34*x
Let d(p) be the first derivative of 0*p - 3*p + 6*p + p**2 + 2. Differentiate d(v) with respect to v.
2
Let a be (-6)/1*2/(-3). Suppose -4*r + a = -2*r. Find the second derivative of -n + 5*n - 3*n - 5*n**4 + r*n**4 wrt n.
-36*n**2
Suppose -1 - 5 = -2*h. Let j = h + -3. What is the second derivative of i**3 + j*i - 3*i + i wrt i?
6*i
Let s(y) be the third derivative of 0*y**4 + 0*y**6 - 4*y**2 + 1/84*y**8 + 0*y**3 + 0 + 0*y**7 + 1/60*y**5 + 0*y. Find the third derivative of s(m) wrt m.
240*m**2
What is the third derivative of -10*i**2 - i**2 + 65*i**5 - 29*i**5 wrt i?
2160*i**2
Suppose 0*f + 8 = 4*f. Let c(t) be the second derivative of 0 + t**2 - f*t - 1/3*t**3. What is the derivative of c(z) wrt z?
-2
Let n(f) be the first derivative of -8*f**4 - 39*f**2/2 + 19. What is the second derivative of n(k) wrt k?
-192*k
Let w(h) be the first derivative of -h**7/210 - h**5/12 + 5*h**2/2 + 5. Let r(q) be the second derivative of w(q). Find the third derivative of r(t) wrt t.
-24*t
Let s(j) be the third derivative of -1/12*j**5 - 3*j**2 + 0*j**4 + 0*j + 0*j**6 + 0*j**3 + 0 - 1/30*j**7. Find the third derivative of s(b) wrt b.
-168*b
Find the third derivative of -154*t**4 + 85*t**4 + 15*t**2 + 95*t**4 wrt t.
624*t
Let y(n) = 7*n**3 + 6*n**2 + 6. Let w(k) = 6*k**3 + 5*k**2 + k + 5. Let c(b) = 6*w(b) - 5*y(b). What is the second derivative of c(g) wrt g?
6*g
Let j(w) be the third derivative of -1/60*w**5 + 0*w**4 - 1/3*w**3 - 3*w**2 + 0*w + 0. Differentiate j(l) with respect to l.
-2*l
Let d(o) be the third derivative of -73*o**6/120 - 23*o**5/20 - 47*o**2 - o. What is the third derivative of d(q) wrt q?
-438
Suppose 4*l + 5*m - 18 = 0, 5*l + 2*m - 18 = -2*m. What is the second derivative of -3*b**2 + 0*b**2 - 3*b + b**l - 2*b**2 wrt b?
-8
Suppose -7*z + 3 = -18. Let c(t) be the first derivative of 0*t**z + 2*t + 0*t**2 + 2 - 3/4*t**4. What is the first derivative of c(r) wrt r?
-9*r**2
Let c be (39/(-12))/((-1)/(-4)). Let n(r) = -2*r**2 + 13*r - 9. Let a(v) = v**2 - 6*v + 4. Let t(o) = c*a(o) - 6*n(o). Differentiate t(j) wrt j.
-2*j
Let n(w) = -13*w**3 - 10*w + 3. Let r(p) = 14*p**3 + 11*p - 4. Suppose 14 = -3*v + 2. Let l(o) = v*n(o) - 3*r(o). What is the second derivative of l(u) wrt u?
60*u
Let o(h) = -h**3 - h**2 + h. Let x(y) = -15*y**3 - 9*y**2 + 9*y - 2. Let a(f) = 18*o(f) - 2*x(f). What is the derivative of a(v) wrt v?
36*v**2
Let f(u) be the first derivative of 0*u**5 + 0*u**2 + 0*u**6 + 2 + 0*u**4 - 1/7*u**7 - u**3 + 0*u. What is the third derivative of f(b) wrt b?
-120*b**3
Let l = -2 - -4. Suppose l + 7 = 3*c. Differentiate 2*k**4 + 2*k**4 + 4 - c with respect to k.
16*k**3
Let y(p) be the first derivative of p**6/120 + p**5/120 + p**3/3 + 2. Let n(x) be the third derivative of y(x). Find the second derivative of n(z) wrt z.
6
Let p(w) = -19*w**3 - 7*w**2. Let z(i) = 9*i**3 + 3*i**2. Let x(o) = 4*p(o) + 9*z(o). Find the third derivative of x(q) wrt q.
30
Suppose 0*z - 4*z = -68. Let w(b) = -3*b**3 + 6*b**2 - 10. Let f(a) = 8*a**3 - 17*a**2 + 29. Let t(d) = z*w(d) + 6*f(d). Differentiate t(p) wrt p.
-9*p**2
Let j(q) = 9*q - 35. Let g(c) = c - 1. Let y(u) = 6*g(u) - j(u). Find the first derivative of y(t) wrt t.
-3
Let i = -4 - -9. Differentiate -i*r + 8 + 6*r**2 + 5*r wrt r.
12*r
Find the second derivative of 6*o - 518*o**4 + o**5 + 518*o**4 - 9*o wrt o.
20*o**3
What is the derivative of 3*s**4 + 2*s - 2*s + 4*s - 29 + 32 wrt s?
12*s**3 + 4
Let s be (4/3)/(6/81). Find the third derivative of -18*n + n**2 - n**3 + s*n - 6*n**3 wrt n.
-42
Let n(l) = 1 + 5*l + l - l + 0*l - l**2. Let r be n(5). What is the first derivative of 0*x - 2 + r - 3*x wrt x?
-3
Let i = 19 - 15. Let p(m) be the second derivative of 1/12*m**i + 0 + 0*m**3 + 1/2*m**2 + 2*m. Differentiate p(s) with respect to s.
2*s
Let b be 0*(6/(-4) + 1). Let i = -8 + 10. What is the second derivative of b*c**i - 2*c - c**2 - c wrt c?
-2
Let l(v) be the first derivative of 1/2*v**2 + 2 - v - 1/12*v**4 + 0*v**3. Let r(m) be the first derivative of l(m). Differentiate r(z) wrt z.
-2*z
Suppose -n + 5*n - 8 = 0, 100 = 5*p + 5*n. What is the third derivative of 29*c**2 + 6*c**4 - p*c**2 + 3*c**4 wrt c?
216*c
Let y(m) = 13*m**2 + 3*m + 5. Let a(t) = -6*t**2 - t - 2. Let j(z) = -10*a(z) - 4*y(z). What is the second derivative of j(r) wrt r?
16
Find the second derivative of 3*r + 2*r**2 - 4*r**2 - 9*r**2 wrt r.
-22
Let y(f) be the third derivative of -f**6/30 - 11*f**5/15 - 15*f**2. Find the third derivative of y(n) wrt n.
-24
Let m(g) be the second derivative of g**5/10 - 3*g**2/2 + 7*g. Differentiate m(l) with respect to l.
6*l**2
Let h(i) be the first derivative of -2*i**4 - 8*i**2 - 12. Find the second derivative of h(l) wrt l.
-48*l
Let i(u) be the first derivative of u**5/60 - 5*u**3/6 + 5*u**2/2 + 4. Let d(m) be the second derivative of i(m). Find the first derivative of d(b) wrt b.
2*b
Differentiate -55*i + 42*i - 3 + 0 - 2 with respect to i.
-13
Let m(j) be the third derivative of j**6/40 + j**4/24 - 4*j**2. What 