 12. Differentiate p(c) with respect to c.
48
Let z = -5 + 8. Let n(m) = 7*m - 3. Let g be n(1). What is the third derivative of z*q**6 + 4*q**4 - q**2 - 4*q**g + 2*q**2 wrt q?
360*q**3
Suppose 4*k + t + 9 = 0, -t = k - 4*t - 1. Let n(q) = -q**2 + 1. Let v(f) = 2*f**2 - 3. Let w(z) = k*v(z) - 5*n(z). What is the first derivative of w(l) wrt l?
2*l
Let c(z) be the first derivative of -z**7/280 + z**5/60 - 4*z**3/3 + 8. Let r(p) be the third derivative of c(p). Find the second derivative of r(w) wrt w.
-18*w
Let a(w) = -w**3 + w**2. Suppose -3 = 3*h, -k - 14 = -5*h - 5. Let r(g) = g**3 - g**2. Let m(z) = k*r(z) - 6*a(z). What is the third derivative of m(t) wrt t?
-48
Let x(f) = -57*f**2 + 4*f - 42. Let p(k) = 170*k**2 - 11*k + 125. Let b(w) = -4*p(w) - 11*x(w). What is the first derivative of b(v) wrt v?
-106*v
Let u(k) be the first derivative of 4*k**5/5 - 18*k - 16. What is the derivative of u(f) wrt f?
16*f**3
Let m(d) be the first derivative of d**6/10 + d**3/2 - d - 3. Let k(f) be the first derivative of m(f). Find the second derivative of k(s) wrt s.
36*s**2
Let g(v) be the second derivative of -v**6/144 + v**5/120 + v**4/6 + 5*v. Let d(x) be the third derivative of g(x). Differentiate d(f) with respect to f.
-5
Find the second derivative of 8*h - 21*h - 11*h**2 - h wrt h.
-22
Let w(d) = d**3 + d**2 + d - 1. Let b(a) = -10*a**3 - 14*a**2 - 5*a + 5. Let i(g) = -b(g) - 5*w(g). What is the third derivative of i(z) wrt z?
30
What is the third derivative of 73 - 73 + 16*j**2 + 3*j**4 wrt j?
72*j
Let t(c) be the first derivative of 5*c**4/2 + 10*c + 3. What is the first derivative of t(y) wrt y?
30*y**2
Let z(l) = 25*l**2 + 4*l + 9. Let c(o) = -24*o**2 - 5*o - 9. Let i(j) = -4*c(j) - 5*z(j). Differentiate i(r) wrt r.
-58*r
Suppose 34 = 4*k + 6. Let t(y) = -y**3 + 11*y**2 + 13*y - 7. Let h be t(12). What is the third derivative of k*l**2 + 0*l**2 + 3*l**5 + 2*l**h - 3*l**2 wrt l?
300*l**2
Let n(u) be the second derivative of -u**4/12 - u**2 - 6*u. Differentiate n(s) with respect to s.
-2*s
Let y(x) = 43*x - 5. Let n(j) = -42*j + 4. Let t(f) = -3*n(f) - 2*y(f). Differentiate t(u) wrt u.
40
Let a(x) be the second derivative of 1/6*x**3 + 0*x**2 + 1/12*x**4 + 0 - x. Find the second derivative of a(n) wrt n.
2
Suppose -3*b = -2*b - 2. Let l be ((-2)/b)/(1/(-2)). Differentiate -v**2 - 5*v + 2 + 5*v - 2*v**l with respect to v.
-6*v
Let a be (1/(-2))/((-8)/(-176)). Let t = a + 16. What is the third derivative of 0*l**5 - 2*l**5 - t*l**2 + 3*l**2 wrt l?
-120*l**2
Find the second derivative of 5*v**2 - 23*v + 6*v + 19*v + 56 wrt v.
10
Let x(v) be the second derivative of 3*v**5/20 - 5*v**2/2 + 9*v. Find the first derivative of x(a) wrt a.
9*a**2
Let s(a) be the second derivative of -a**4/8 - a**3 - a**2 + a. Let c(q) be the first derivative of s(q). What is the first derivative of c(o) wrt o?
-3
Let v(a) be the third derivative of a**7/42 + 7*a**5/60 - 3*a**2. Find the third derivative of v(x) wrt x.
120*x
Let c(v) be the first derivative of -v**6/6 - 23*v**3/3 + 7. What is the third derivative of c(j) wrt j?
-60*j**2
Let k = -20/3 + 7. Let d(z) be the first derivative of k*z**3 - 2*z - 2 + 0*z**2. Find the first derivative of d(p) wrt p.
2*p
Let i(b) = -44*b**2 - 7*b - 45. Let d(m) = -15*m**2 - 2*m - 15. Let k(h) = -7*d(h) + 2*i(h). What is the first derivative of k(y) wrt y?
34*y
What is the second derivative of 3 + 12*r**4 - 656*r - 3 + 652*r wrt r?
144*r**2
Let p(k) be the first derivative of -7*k**4/4 - 11*k**2/2 + 14. What is the second derivative of p(q) wrt q?
-42*q
Let v be 112/35 + 2/(-10). What is the second derivative of -3*t - t - t**3 + v*t wrt t?
-6*t
Let t be 1/((5/(-7))/(-5)). Find the second derivative of p + 35*p**3 - t*p + 4*p**4 - 35*p**3 wrt p.
48*p**2
Differentiate -4*f + 10*f + 7 - 4*f wrt f.
2
Let y(p) be the first derivative of 31*p**5/5 - 36*p + 26. What is the first derivative of y(k) wrt k?
124*k**3
Let c = -20 + 22. Let g(w) be the third derivative of 0 - 1/120*w**6 + 0*w + 0*w**4 + 0*w**5 - 2/3*w**3 + c*w**2. What is the derivative of g(n) wrt n?
-3*n**2
Let z(h) = 9*h**2 + 15. Let v(t) = 3*t**2 + 5. Let u(b) = 8*v(b) - 3*z(b). Differentiate u(k) wrt k.
-6*k
Let a(y) = y**3 - y**2. Let u(w) = -21*w**3 + 3*w**2 + 4*w. Let l(h) = 3*a(h) + u(h). Find the second derivative of l(s) wrt s.
-108*s
Differentiate -178*t**2 + 17*t**4 - 14 + 178*t**2 wrt t.
68*t**3
Let n(l) be the first derivative of l**6/3 - 37*l**2/2 + 3. What is the second derivative of n(d) wrt d?
40*d**3
Let r be (-3)/(-2) + 66/(-12). Let f = r + 7. Find the first derivative of t**f + 2 - 8*t**3 + 4*t**3 wrt t.
-9*t**2
Let a(x) = x**3 - 6*x**2 - 10*x + 7. Let b be a(9). Find the first derivative of -5*o**3 - 160*o + b*o + 1 wrt o.
-15*o**2
Suppose r + 16 = -8*x + 3*x, r = 4*x + 20. Find the second derivative of 0*b + 0*b + 4*b + 4*b**r - 3*b wrt b.
48*b**2
Let c(s) = 21*s**2 + 5*s - 12. Let w(j) = 10*j**2 + 3*j - 6. Let u(h) = -3*c(h) + 5*w(h). Find the first derivative of u(m) wrt m.
-26*m
Let s(o) be the third derivative of o**9/252 + o**7/210 - 19*o**5/60 + 8*o**2. Find the third derivative of s(x) wrt x.
240*x**3 + 24*x
Let n(u) = -151*u**4 - 8*u**3 + 8*u**2 + 8*u + 52. Let g(t) = -101*t**4 - 5*t**3 + 5*t**2 + 5*t + 35. Let w(m) = 8*g(m) - 5*n(m). Differentiate w(c) wrt c.
-212*c**3
Let p(s) be the first derivative of s**7/840 + s**6/360 + s**3 - 3. Let u(x) be the third derivative of p(x). What is the third derivative of u(i) wrt i?
6
What is the second derivative of 0*s**3 - 3*s**3 + s**3 + 7*s wrt s?
-12*s
Differentiate -3*a**2 + 3*a**2 + 2 - 5*a**2 - a**2 wrt a.
-12*a
Let a(y) = -36*y**3 - 3*y**2 - 7. Let s(n) = 107*n**3 + 8*n**2 + 20. Let r(h) = 8*a(h) + 3*s(h). Differentiate r(q) with respect to q.
99*q**2
Let j be (-3)/3 + (1 - 0). What is the second derivative of j*r + 2*r - 2*r - 3*r + 3*r**2 wrt r?
6
Let v be 2/(-7) - (-54)/(-7). Let u = 14 + v. What is the third derivative of -4*a**u - a**2 + 5*a**6 - a**2 wrt a?
120*a**3
Suppose 4*o - 37 + 25 = 0. Let d(b) be the second derivative of 2*b + 3/20*b**5 + 0*b**2 + 0*b**4 + 0 + 1/2*b**o. Find the second derivative of d(y) wrt y.
18*y
Let i(x) = 19*x**3 - 12*x**2 + 6*x. Let m(b) = -56*b**3 + 35*b**2 - 17*b. Let n(j) = 17*i(j) + 6*m(j). Find the third derivative of n(g) wrt g.
-78
Let d(w) be the first derivative of -w**9/756 - w**5/60 - 2*w**3/3 - 2. Let h(r) be the third derivative of d(r). What is the second derivative of h(a) wrt a?
-80*a**3
Let s(d) be the third derivative of d**2 + 0 + 0*d + 0*d**3 - 1/15*d**5 + 1/24*d**4. What is the second derivative of s(t) wrt t?
-8
Let o(d) = d**2 - 27*d + 11. Let j(z) = -z**2 + 14*z - 6. Let l(r) = -11*j(r) - 6*o(r). What is the second derivative of l(a) wrt a?
10
Let j(i) = 14*i**4 - 4*i**3 + 11*i - 4. Let n(z) = -29*z**4 + 9*z**3 - 22*z + 9. Let c(f) = -9*j(f) - 4*n(f). Find the second derivative of c(o) wrt o.
-120*o**2
Let d(m) = 3*m**4 - m**2 - 4*m + 4. Let h(q) = 3*q**4 - 5*q + 5. Let x(o) = -5*d(o) + 4*h(o). What is the third derivative of x(c) wrt c?
-72*c
Let x be -1 - 10*5/(-10). Let p(g) be the first derivative of 0*g**4 - g**2 - 2/3*g**6 + 0*g**5 + x + 0*g**3 + 0*g. What is the second derivative of p(k) wrt k?
-80*k**3
Let x(i) = -7*i**2 - 4*i. Let l(s) = s**3 - 15*s**2 - 9*s. Suppose -16 = -z - 3*z. Let u(k) = z*l(k) - 9*x(k). What is the third derivative of u(p) wrt p?
24
Let i(x) = -3*x. Let t(y) = 6*y + 4 + y**2 - 4. Let a = 0 + -3. Let g(u) = a*t(u) - 5*i(u). Find the second derivative of g(b) wrt b.
-6
Let r(b) = b**4 - b**3 - b + 1. Let x(l) = 12*l**5 + l**4 - l**3 + 9*l**2 - l + 1. Let y(j) = -r(j) + x(j). Find the third derivative of y(c) wrt c.
720*c**2
What is the third derivative of -8*r**6 + r**2 + 4*r**2 - 2*r**6 - 2*r**2 wrt r?
-1200*r**3
Suppose 4*l - 4 = -0. Find the second derivative of -1 - 5*t**4 + 2*t**4 + l - 2*t wrt t.
-36*t**2
Let q be (-6)/((-3 + 1)/(-4)). Let r be (-2)/3 + (-32)/q. What is the second derivative of -3*a**5 - 3*a + r*a + 2*a**5 wrt a?
-20*a**3
Let s(j) be the first derivative of -12*j**5/5 - j**2/2 - 28*j + 15. Find the first derivative of s(m) wrt m.
-48*m**3 - 1
Let j(a) be the first derivative of 13*a**3/3 - 19*a - 8. Differentiate j(p) with respect to p.
26*p
Let d(s) be the third derivative of -s*