(a). Differentiate u(k) wrt k.
-4*k
Let m(y) be the second derivative of 3/2*y**2 + 0 - 1/6*y**3 + 2*y. What is the first derivative of m(l) wrt l?
-1
Let x be 1*(27/3)/3. Suppose -a + 4 = 3*l - 4, x*a + 4*l = 14. Find the second derivative of -4*y**a + 4*y**2 - 4*y**2 + 2*y + y**2 wrt y.
-6
Let s(r) = -r - 5. Let a be s(-6). Suppose a = i - 2. What is the third derivative of i*n**5 - 3*n**5 + n**5 - 2*n**2 wrt n?
60*n**2
Let b(q) = 46*q**4 - 2*q**3 + 2*q**2 - 28. Let d(h) = -139*h**4 + 7*h**3 - 7*h**2 + 85. Let c(s) = 7*b(s) + 2*d(s). What is the first derivative of c(j) wrt j?
176*j**3
Let c(d) be the second derivative of -d**6/60 - d**3/3 - 3*d**2/2 - 3*d. Let f(r) be the first derivative of c(r). Differentiate f(t) wrt t.
-6*t**2
Let c be 12/6 + 0/1. Suppose k = 1 + 2. Find the third derivative of -2*y**2 + k*y**c - 2*y**3 + 4*y**3 wrt y.
12
Suppose 0*l + 6 = 3*l. Let m be -2*(-1)/(l - 1). What is the third derivative of -o**m + 0*o**2 - 2*o**2 + o**3 wrt o?
6
Find the second derivative of 9*b - 48*b - 29*b**2 + 4*b wrt b.
-58
Let v(c) = 2*c - 1. Let y be v(-3). Let t = -4 - y. What is the third derivative of 2*x**t - x**2 + x**2 + 3*x**2 wrt x?
12
Let r(z) = 9*z**2 + 5*z + 36. Let f(v) = -4*v**2 - 3*v - 18. Let p(a) = -5*f(a) - 3*r(a). Differentiate p(m) with respect to m.
-14*m
Let l(x) = 9*x**2 - 6*x + 2. Let g(a) = a**2 - a. Let b(w) = -6*g(w) + l(w). What is the derivative of b(s) wrt s?
6*s
Let b(i) be the second derivative of i**5/5 + 5*i**2 - 12*i. What is the first derivative of b(o) wrt o?
12*o**2
Suppose 5*h - h = 12. Let r = 4 - 2. What is the third derivative of -a**2 - r + 2 + h*a**3 - a**3 wrt a?
12
Let k(d) be the first derivative of 1/3*d**6 + 0*d + 0*d**4 + 0*d**3 + 3 + 0*d**5 + 5/2*d**2. What is the second derivative of k(q) wrt q?
40*q**3
Let g be ((-5)/(-15))/(2/24). Differentiate -1 + 0 - g*c**3 + c**3 with respect to c.
-9*c**2
Let u(w) be the second derivative of -w**8/3360 - w**6/90 + w**4/12 - 3*w. Let y(h) be the third derivative of u(h). Find the second derivative of y(k) wrt k.
-12*k
Let s(r) = r**5 - 4*r**4 + 9*r**2 + 4*r. Let l(w) = 3*w**4 - 8*w**2 - 3*w. Let n(k) = -4*l(k) - 3*s(k). Find the third derivative of n(d) wrt d.
-180*d**2
Let h be (1 - 0) + 21/3. What is the third derivative of -11*j**2 - 4*j**3 + 2*j**2 + h*j**2 wrt j?
-24
Let x(u) be the first derivative of -10*u**3/3 - 6*u + 5. Differentiate x(j) with respect to j.
-20*j
Let p(o) be the first derivative of -o**6/2 - 8*o**3/3 - 7. Find the third derivative of p(a) wrt a.
-180*a**2
Suppose i - 17 = -4*i - a, -4*i + 18 = 3*a. Differentiate q**i + 4 - q**4 - q**3 - 1 with respect to q.
-4*q**3
Let q(y) be the third derivative of -2*y**2 + 1/60*y**5 + 0 + 0*y**6 + 0*y + 0*y**3 + 0*y**4 - 2/105*y**7. Find the third derivative of q(m) wrt m.
-96*m
Suppose -3*v = -0*v + 3, 0 = 2*j - 5*v - 9. What is the second derivative of -2*c - 2*c**2 + 0*c**2 + c**j + 3*c**2 wrt c?
4
Find the third derivative of -41*f**3 + 41*f**3 + f**2 + 64*f**4 - 3*f**4 wrt f.
1464*f
Let d(k) be the third derivative of -13*k**8/168 - 23*k**5/30 + 3*k**2. What is the third derivative of d(f) wrt f?
-1560*f**2
Suppose 3*j - 15 = -0*j. What is the third derivative of 4*q**j - q**2 + q**5 - 2*q**2 wrt q?
300*q**2
Let g(c) = -c**2 + 5*c + 3. Let o be g(4). Suppose -3*r = -o + 1. What is the first derivative of q - q + q**3 + r wrt q?
3*q**2
Let d(p) be the first derivative of -3*p**2 - 18*p + 19. Differentiate d(c) with respect to c.
-6
Differentiate 4*b**2 + 11*b**2 - 1 - 13 - 3*b**2 with respect to b.
24*b
Let l(k) = k + 1. Let g be -1 - 3/(-1 + 0). Let i be l(g). What is the first derivative of i*p + 3*p**4 + 2 - 11*p + 8*p wrt p?
12*p**3
Let v = -33 + 33. Let p(l) be the third derivative of 0*l**3 + v + 2*l**2 + 1/24*l**4 + 0*l - 1/30*l**5. Find the second derivative of p(t) wrt t.
-4
Let n(b) = -11*b**3 + 10*b + 5. Let j(v) = 10*v**3 - 9*v - 4. Let s be (-3 - -6)*4/3. Let u(w) = s*n(w) + 5*j(w). What is the second derivative of u(t) wrt t?
36*t
Let c(g) = 13*g - 4. Let d(p) = -3*p + 1. Let v(m) = 4*c(m) + 18*d(m). What is the first derivative of v(t) wrt t?
-2
Let i(z) be the second derivative of 0 + 0*z**3 + 5*z - 1/6*z**4 - 7/2*z**2. What is the first derivative of i(b) wrt b?
-4*b
What is the third derivative of -17 + 9*x**3 - 4*x**2 + 17 + 27*x**2 wrt x?
54
Let w(v) = v**3 - v. Let c(a) = 6*a**4 - 4*a**3 + 10*a**2 + 4*a. Let s(l) = c(l) + 4*w(l). What is the third derivative of s(f) wrt f?
144*f
Let q(b) be the first derivative of -1/4*b**4 + b**3 + 0*b**2 + 0*b + 1. Find the third derivative of q(d) wrt d.
-6
What is the derivative of -18*m**4 - 9 - 19 - 6*m**4 - 7 wrt m?
-96*m**3
Let n be (-5)/((-15)/(-6))*2. Let g = 6 + n. Find the second derivative of 8*f**g - 8*f**2 + 2*f**3 + f wrt f.
12*f
Let q(x) = -x**2 - 8*x - 9. Let u be q(-6). Differentiate -4*o**4 - 3*o**3 + 4 + 5*o**3 - 2*o**u wrt o.
-16*o**3
Let l(z) be the third derivative of 4*z**7/21 + 13*z**5/20 + 16*z**2. Find the third derivative of l(b) wrt b.
960*b
What is the third derivative of 0*c**3 - 56*c**2 + 81*c**2 + 39*c**3 wrt c?
234
Let p(n) = 6*n**3 - 1. Let u(t) = 29*t**3 - 4. Let v(d) = -11*p(d) + 2*u(d). What is the derivative of v(b) wrt b?
-24*b**2
Let y(r) = -174*r**2 + 64*r + 6. Let b(o) = 58*o**2 - 21*o - 2. Let c(d) = 10*b(d) + 3*y(d). What is the second derivative of c(a) wrt a?
116
Let z(d) = -d**2 - 6*d - 14. Let b(u) = -u**2 + u + 1. Let s(r) = -6*b(r) - z(r). Find the first derivative of s(c) wrt c.
14*c
Let u(v) = -15*v**2 - 2. Let w(g) = -2 - 2 + 3 - 7*g**2. Let b(n) = 4*u(n) - 9*w(n). Differentiate b(p) with respect to p.
6*p
Let t(x) be the second derivative of -23*x**6/30 - 9*x**2 - 21*x. Find the first derivative of t(s) wrt s.
-92*s**3
Let m(z) be the first derivative of z + 0*z**2 + 2/3*z**3 - 6. Differentiate m(v) wrt v.
4*v
Let i(d) = -2*d**2 - 6*d. Let a(v) = -v**2 - v. Let w(f) = -6*a(f) + 2*i(f). Find the second derivative of w(o) wrt o.
4
Let o(l) be the first derivative of l**6/90 - l**5/30 - l**3 + 2. Let b(g) be the third derivative of o(g). Find the second derivative of b(t) wrt t.
8
Let y(c) = -6*c**4 - 5*c**3 - 6*c + 5. Let h(k) = -k**3 - k + 1. Let r = -3 + 4. Let p(v) = r*y(v) - 5*h(v). Find the second derivative of p(d) wrt d.
-72*d**2
Let w(a) be the second derivative of -16*a**7/21 + 9*a**3/2 + 35*a. Find the second derivative of w(v) wrt v.
-640*v**3
Let s(i) be the third derivative of 0*i + 0 - 2*i**2 + 5/6*i**3 + 5/24*i**4. Differentiate s(h) wrt h.
5
Find the second derivative of 11*l + 117*l**4 - 117*l**4 - 32*l**5 wrt l.
-640*l**3
Let m(f) be the third derivative of -f**6/8 - f**5/20 + 7*f**2. What is the third derivative of m(q) wrt q?
-90
Suppose 0 = -q + 5*q - 8. Let b(u) be the first derivative of -1/2*u**q + u - 1. Find the first derivative of b(z) wrt z.
-1
Let k(n) be the first derivative of 9*n**5/5 + 19*n**2/2 - 16. Find the second derivative of k(c) wrt c.
108*c**2
Suppose y = -3*y. Find the first derivative of y*b - 1 + 0 - 4*b + 2 wrt b.
-4
Find the third derivative of 2*y**3 + 15*y**3 - 2*y**2 + y**2 + 6*y**2 wrt y.
102
Let q(m) be the first derivative of 4*m**3 + 3*m**3 - 1 - 2*m**2 - 4*m**3 - m**3. Find the second derivative of q(w) wrt w.
12
Let x(v) = -v**3 - 7*v**2 + 1. Let h be x(-7). Let o = 1 + h. What is the first derivative of -o*c**2 + 3 + 0 + 1 - 1 wrt c?
-4*c
Find the second derivative of z**3 + z**3 - 14*z + z**3 + 6*z**3 wrt z.
54*z
Let g(c) be the first derivative of 0*c**4 + 0*c**6 + 3/7*c**7 + 1/3*c**3 + 0*c + 0*c**2 + 0*c**5 - 1. What is the third derivative of g(o) wrt o?
360*o**3
Let z(f) be the third derivative of 0*f**3 + 0*f**6 + 1/48*f**8 + 0*f + 9*f**2 + 1/6*f**5 + 0*f**7 + 0*f**4 + 0. Find the third derivative of z(b) wrt b.
420*b**2
Let t = 1 - -2. Find the second derivative of -12*k**3 - k - 2*k + 11*k**t wrt k.
-6*k
Let c(x) = x**2 + 4*x + 2. Let u be c(-5). Let m = u + -4. Find the first derivative of -7 + 1 - 4*a + m wrt a.
-4
Let u be (-5)/25 + 12/10. Find the first derivative of u + 23*d**3 + d**4 - 23*d**3 wrt d.
4*d**3
Let z(m) be the first derivative of 9*m**6/2 + 8*m**3/3 - 5. What is the third derivative of z(p) wrt p?
1620*p**2
Let o(r) = -7*r**6 - 6*r**4 + 6*r**2 - 6*r - 6. Let m(j) = -j**6 - j**4 - j - 1