(c). What is the derivative of t(a) wrt a?
-20*a
Suppose 5*m = -21 + 76. Let i = m + -6. Find the first derivative of -4 + i + 1 + 2*u**2 wrt u.
4*u
Let s(n) = -11*n**3 + 4*n**2 + 8*n. Let y(i) = -21*i**3 + 7*i**2 + 17*i. Let c(w) = -7*s(w) + 4*y(w). What is the second derivative of c(z) wrt z?
-42*z
Let l(b) be the first derivative of -3*b + 0*b**4 - 3 + 3/5*b**5 + 0*b**2 + 0*b**3. What is the derivative of l(u) wrt u?
12*u**3
Let f(t) be the second derivative of -1/6*t**4 + 0*t**5 + 0*t**6 + 0*t**3 - 1/56*t**8 + 0 + 0*t**2 + 0*t**7 - t. What is the third derivative of f(a) wrt a?
-120*a**3
Let m(q) be the second derivative of 0*q**2 - 1/4*q**4 + 1/3*q**3 - q + 0. What is the second derivative of m(n) wrt n?
-6
What is the third derivative of -14*u**6 + 22*u**2 + u**4 + 0*u**4 - u**4 wrt u?
-1680*u**3
Let h(i) be the first derivative of -i**10/1680 + i**6/72 + 2*i**3/3 - 4. Let m(w) be the third derivative of h(w). Find the third derivative of m(y) wrt y.
-360*y**3
Let a(v) be the second derivative of v**7/7 - v**4/2 - 5*v. What is the third derivative of a(p) wrt p?
360*p**2
Differentiate -6 + 0 - d**4 + d**4 - d**4 wrt d.
-4*d**3
Find the second derivative of 16*u**2 - 16*u**2 - u - 7*u**2 wrt u.
-14
Let t(c) = 9*c**4 + 6*c**3 - 7*c**2 + c + 8. Let h(p) = 8*p**4 + 5*p**3 - 6*p**2 + 7. Let q(r) = 7*h(r) - 6*t(r). Find the second derivative of q(k) wrt k.
24*k**2 - 6*k
Let u(v) be the second derivative of 8*v**3/3 + v**2/2 + 3*v. What is the derivative of u(j) wrt j?
16
Differentiate -y - 2 + 0 - 6 + 9*y wrt y.
8
Let u(t) be the second derivative of 0 - 1/28*t**8 + 0*t**3 - 1/12*t**4 + 0*t**7 + 0*t**2 + 0*t**5 + 2*t + 0*t**6. Find the third derivative of u(o) wrt o.
-240*o**3
Let q(t) be the second derivative of 3*t + 0*t**3 + 0*t**5 + 0 + 0*t**2 - 1/21*t**7 + 2/3*t**4 + 0*t**6. What is the third derivative of q(u) wrt u?
-120*u**2
Let k(a) be the third derivative of -a**6/90 + a**5/40 + a**3/6 - 4*a**2. Let r(n) be the first derivative of k(n). Find the second derivative of r(y) wrt y.
-8
Let t(g) = -2*g**3 - 9 + 3*g**3 + 3*g + 6 + 3*g**3. Let u(q) = q**3 - 1. Let o(z) = -t(z) + 3*u(z). What is the second derivative of o(k) wrt k?
-6*k
Let x(i) = -3*i**3 + 2*i**2 - 6*i + 6. Let c(l) = 3*l**3 - 2*l**2 + 7*l - 7. Let k(f) = -6*c(f) - 7*x(f). Find the third derivative of k(b) wrt b.
18
Let z(x) = -11*x**3 - 6*x**2 - 16. Let h(j) = -j**3 - j**2 + 1. Let b(t) = -6*h(t) + z(t). What is the first derivative of b(q) wrt q?
-15*q**2
Let u be 4/14 - (-78)/21. Find the second derivative of -a + 3*a - 3*a - a**u wrt a.
-12*a**2
Let x(l) be the first derivative of l**8/112 - l**4/24 + l**2 - 1. Let g(m) be the second derivative of x(m). Find the second derivative of g(u) wrt u.
60*u**3
Let c(n) be the second derivative of -1/12*n**4 + 0*n**6 - 1/42*n**7 + 0*n**5 + 0*n**2 + 0 + 2*n + 0*n**3. Find the third derivative of c(v) wrt v.
-60*v**2
Suppose -s - 2*t = -3*s + 8, 3*s + 3*t = 0. Let i = -3 + 7. What is the derivative of w**2 + 3*w**2 + 3*w**4 - i*w**s + 1 wrt w?
12*w**3
Let s(q) = q - 6. Let p be s(13). Find the second derivative of -4*v - p*v - 2*v**3 + 6*v wrt v.
-12*v
Let u(o) be the first derivative of 2*o**5/5 - 6*o - 7. What is the first derivative of u(g) wrt g?
8*g**3
Let r(f) be the second derivative of 0*f**6 + 0*f**5 + 0 - 1/2*f**3 + 0*f**4 - 1/42*f**7 + 0*f**2 - 2*f. What is the second derivative of r(i) wrt i?
-20*i**3
Suppose 7*d = 2*d - 55. Let r(m) = -4*m + 12. Let i(n) = 9*n - 23. Let z(q) = d*r(q) - 6*i(q). What is the derivative of z(o) wrt o?
-10
Let t(g) = 23*g**3 - 9*g**2 + 6*g - 6. Let s(v) = 69*v**3 - 27*v**2 + 17*v - 17. Let i(d) = 6*s(d) - 17*t(d). What is the third derivative of i(b) wrt b?
138
Let p(c) be the third derivative of -17*c**7/70 + 47*c**3/6 - 68*c**2. Differentiate p(t) wrt t.
-204*t**3
What is the third derivative of 2*a**2 - 2*a**3 + 0*a**3 + 7*a**3 wrt a?
30
Let u be 34/9 + 14/63. Let y(b) = b + 4. Let w be y(0). What is the derivative of 5*t**u - 3*t**w - 2 - 4*t**4 wrt t?
-8*t**3
Suppose -2*x = -5*x - 21. Let l be 2/7 + (-61)/x. Find the first derivative of 9*i - l*i + 2*i**3 + 2 wrt i.
6*i**2
Let u(s) = -9*s + 12. Let x(f) = 4*f - 6. Suppose -5*h = 3*q - 2*h, 35 = 2*q - 5*h. Let w(g) = q*x(g) + 2*u(g). Find the first derivative of w(z) wrt z.
2
Let y be ((-5)/(-4))/((-6)/(-24)). Suppose -y*m + 4*m + 2 = 0. Find the first derivative of 3*t - m*t - 1 - 1 wrt t.
1
Let n(b) be the third derivative of b**4/24 + b**3/2 + 2*b**2. Let k be n(0). Find the third derivative of 3*v**2 + k*v**6 - 5*v**6 - 2*v**2 wrt v.
-240*v**3
Suppose -3*a + 4 = 5*r - 16, -20 = -5*a + 5*r. Let w = -29 + 49. Find the third derivative of 18*n**2 - w*n**2 + 7*n**a - 4*n**5 wrt n.
180*n**2
Let i(d) be the first derivative of d**7/42 + d**5/60 - 2*d**2 - 5. Let l(z) be the second derivative of i(z). What is the third derivative of l(s) wrt s?
120*s
Suppose 13 = 4*u - 27. Suppose -w - 6 = -u. Differentiate w + 3*r - r - 3*r - 3*r with respect to r.
-4
Find the first derivative of 11 + 2*s**3 - 4 + 7 + 13*s**3 wrt s.
45*s**2
Let n(p) be the second derivative of -5*p**4/4 + 2*p**2 - 13*p. Differentiate n(w) with respect to w.
-30*w
Let v(f) be the first derivative of -3*f**6/2 - 19*f**3/3 + 2. Find the third derivative of v(d) wrt d.
-540*d**2
Suppose 2*a - 3 = a. What is the second derivative of -5*i + a*i**2 - 4*i**2 + 0*i**2 wrt i?
-2
Find the third derivative of 15*l**2 - 5*l**2 + 32*l**4 - 5*l**2 wrt l.
768*l
Find the second derivative of -10*b**2 - 15*b**2 - 15*b - 19*b**2 + 35*b**2 wrt b.
-18
Let f be ((-60)/(-24))/(1/2). What is the second derivative of 3*z**5 + 4*z**f - 5*z**5 + 5*z wrt z?
40*z**3
Let u(g) = -33*g**2 - 9*g + 3. Let o(t) = 66*t**2 + 18*t - 7. Let l(j) = 3*o(j) + 7*u(j). Find the second derivative of l(b) wrt b.
-66
What is the second derivative of -6*v**5 - 10*v + 0*v + 15*v**5 wrt v?
180*v**3
Let u(y) = y**5 + y**3 + y**2 + y. Let c(w) = 8*w**5 + 2*w**3 + 2*w**2 + 4*w. Let r(z) = c(z) - 2*u(z). What is the second derivative of r(b) wrt b?
120*b**3
Let z(u) be the third derivative of -u**6/10 + 7*u**3/6 - 26*u**2. What is the derivative of z(h) wrt h?
-36*h**2
Let k(j) = 4*j**2 - 3*j + 5. Let u(n) = -6*n**2 + 2*n - 3 + 1 + 3*n**2 - 4. Let w(s) = -6*k(s) - 5*u(s). Find the second derivative of w(d) wrt d.
-18
Let f(n) be the second derivative of n**6/10 - 5*n**2/2 + 3*n. Differentiate f(c) with respect to c.
12*c**3
Find the first derivative of -35*d**2 + 26*d + 26*d - 41 - 52*d wrt d.
-70*d
Let j = -2 + 4. Suppose j*k - 4 = k. Find the first derivative of 1 + 2*n**k - 2 + 0 wrt n.
8*n**3
Let f(r) = -11*r**2 + 8*r + 6. Let w(g) = 32*g**2 - 24*g - 17. Let d(h) = 17*f(h) + 6*w(h). Find the second derivative of d(i) wrt i.
10
Let o = 1 + 1. Suppose 3*s - 2*s = o. Find the third derivative of a**s + a**3 + 3*a**3 - 3*a**3 wrt a.
6
Let c(p) be the first derivative of p**7/420 - p**4/24 - 4*p**3/3 + 2. Let h(t) be the third derivative of c(t). Find the first derivative of h(f) wrt f.
6*f**2
Find the second derivative of -3*x**4 + 2*x**4 + 4*x + 4*x**5 + x**4 wrt x.
80*x**3
Let n(y) be the second derivative of -y**8/4 + 11*y**4/12 - 6*y. What is the third derivative of n(i) wrt i?
-1680*i**3
What is the third derivative of 9*y**2 + 2*y - 2*y + 5*y**4 - 5*y**2 wrt y?
120*y
Suppose -j - 4 = -2*j. Suppose -5*g + g - 3 = -3*l, l = -j*g + 17. What is the first derivative of 1 + g - r**4 - 1 wrt r?
-4*r**3
What is the derivative of -5*r**3 + 3 + 6*r**2 - 6*r**2 wrt r?
-15*r**2
Let d(j) = -10*j**3 + 8*j**2 - 5*j - 5. Let s(a) = -5*a**3 + 4*a**2 - 2*a - 2. Let i(r) = 2*d(r) - 5*s(r). What is the third derivative of i(u) wrt u?
30
Let o be (-8)/4 + 5 - 1. What is the derivative of -8*y - 3 - o*y + 2*y + 0*y wrt y?
-8
Let v be 0/(1/(-3)*-3). Let t(d) be the first derivative of 0*d**4 + 1/6*d**6 + 4 + v*d**5 + 0*d - d**2 + 0*d**3. What is the second derivative of t(x) wrt x?
20*x**3
Let h(s) be the first derivative of 4*s**2 - 25*s + 26. What is the first derivative of h(d) wrt d?
8
Find the second derivative of d + 12*d**2 - 2*d - 8*d - 3*d wrt d.
24
Differentiate -334*y**3 + 668*y**3 + 3*y - 334*y**3 + 6*y**4 + 24 with respect to y.
24*y**3 + 3
Let c be 60/14 - (-2)/(-7). Differentiate -6*m**2 - 2 + m**3 + c + 6*m**2 with respe