- 56*t + 64*t + 2*t**2 - 2*t**2 wrt t?
6*t
Let h(s) = 5*s**2 - 15*s - 3*s**2 + 5*s**2. Let p(v) = 3*v**2 - 8*v. Let f(t) = 3*h(t) - 5*p(t). What is the second derivative of f(l) wrt l?
12
Suppose 0 = 2*v - 5*q + 23, -5*v + 0*v = -q. Let n = 2 + v. What is the derivative of -7*g**3 + g**3 + 3*g**n - 3 wrt g?
-9*g**2
Let g(t) = -t - 8. Let v be g(-15). Differentiate 6 + v*w**4 - 13 + 9 with respect to w.
28*w**3
What is the third derivative of 48*j**2 + 2*j**2 + 34 - 34 + 47*j**3 wrt j?
282
Let x(a) = 16*a**2 + 11*a + 22. Let k(m) = -5*m**2 - 4*m - 7. Let g(w) = 11*k(w) + 4*x(w). What is the derivative of g(s) wrt s?
18*s
Let r be (0 + 1)/((-1)/(-2)). Suppose r*c - 2 = 4. Find the first derivative of -f**c - 2*f**4 + f**3 + 19 - 17 wrt f.
-8*f**3
Let t(m) be the third derivative of 0*m + 0 + 1/60*m**5 - 1/2*m**3 - 2*m**2 + 0*m**4. What is the derivative of t(s) wrt s?
2*s
Let i be -1*(3 + -7 + 4). What is the third derivative of 0*z**3 - z**3 + 4*z**2 + i*z**3 - z**2 wrt z?
-6
Differentiate -3*c**3 - 7*c**3 + 5*c**3 + 2 + c**2 with respect to c.
-15*c**2 + 2*c
Let j(g) be the second derivative of 0 + 1/56*g**8 + 0*g**2 + 1/4*g**4 + 0*g**6 + 0*g**3 + 0*g**7 + 2*g + 0*g**5. Find the third derivative of j(l) wrt l.
120*l**3
Let t(a) = 7*a**2 - 8 - 4*a**3 + 2*a**3 + 3*a**3 + 4*a. Let g be t(-6). Find the third derivative of 0*h**5 - g*h**5 + 3*h**5 - h**2 wrt h.
-60*h**2
Let l(w) = 72*w**4 - 13*w**3 + 13*w + 45. Let d(c) = -18*c**4 + 3*c**3 - 3*c - 11. Let q(g) = 26*d(g) + 6*l(g). What is the first derivative of q(r) wrt r?
-144*r**3
Let w(c) be the first derivative of 56*c**5/5 + 10*c**3/3 + 5*c**2/2 + 53. What is the third derivative of w(j) wrt j?
1344*j
Let b = 9 - 3. What is the first derivative of -b + 6*y**3 - 2*y**2 + y**2 + y**2 wrt y?
18*y**2
Let z(i) = -33*i**4 + 17*i**2 - 13*i - 13. Let f(q) = -17*q**4 + 9*q**2 - 6*q - 6. Let c(u) = 13*f(u) - 6*z(u). What is the third derivative of c(m) wrt m?
-552*m
Let b be (-25)/(-3) - (-3)/(-9). Let g be (-2)/(-4)*b - 2. Find the second derivative of g*q**2 - q + 4*q - q wrt q.
4
Let n(q) be the second derivative of 3*q**5/10 + 3*q**3/2 + q + 10. What is the second derivative of n(b) wrt b?
36*b
Let a(j) = j - 1. Let o(r) = -51*r + 63. Let i(c) = -12*a(c) - o(c). Find the first derivative of i(g) wrt g.
39
Suppose 0 = 5*k - 6 - 9. Let s(o) = -o**2 + 6*o - 4. Let x be s(3). Find the first derivative of -n + 0 + k - x wrt n.
-1
What is the second derivative of 6*o**5 - 3*o**5 - o**5 + o - 6*o wrt o?
40*o**3
Let u(a) be the first derivative of -a**8/840 + a**5/120 + a**3 - 1. Let x(m) be the third derivative of u(m). What is the second derivative of x(l) wrt l?
-24*l**2
Let q(k) = 39*k**4 + 66*k**2 + 27*k + 27. Let f(y) = -3*y**4 - 5*y**2 - 2*y - 2. Let c(s) = -27*f(s) - 2*q(s). What is the third derivative of c(j) wrt j?
72*j
Let j(w) be the first derivative of -7/4*w**4 + 3*w**2 + 0*w - 1 + 0*w**3. What is the second derivative of j(d) wrt d?
-42*d
Let x(g) = 7*g - 19. Let c(h) = -22*h + 56. Let w(t) = -3*c(t) - 8*x(t). What is the first derivative of w(r) wrt r?
10
Let l be 0 - (20/(-24))/5. Let d(x) be the second derivative of -1/6*x**3 + 0*x**2 + 0 + l*x**4 - x. What is the second derivative of d(g) wrt g?
4
Let z(t) be the second derivative of t**6/2 - 17*t**3/6 + 11*t. What is the second derivative of z(x) wrt x?
180*x**2
Let l(f) be the first derivative of -f**4/4 - f**3/3 - 4. What is the third derivative of l(r) wrt r?
-6
Let n(z) = -z**4 - 6*z**3 - z. Let x(l) = -l**4 - 5*l**3. Let u(c) = 5*n(c) - 6*x(c). What is the second derivative of u(b) wrt b?
12*b**2
Let z(q) = 3*q**3 + 10*q**2 + 7*q + 7. Let r(w) = -4*w**3 - 9*w**2 - 6*w - 6. Let h(t) = -7*r(t) - 6*z(t). Find the third derivative of h(o) wrt o.
60
Let p(g) be the third derivative of g**6/360 + g**5/120 - g**4/24 - 2*g**2. Let i(o) be the second derivative of p(o). Differentiate i(h) with respect to h.
2
Let k(h) = h**2 + 3*h - 6. Let s be k(-5). Suppose -m = -j, 3*j - 7*j + s = -2*m. What is the second derivative of -6*y + 0*y**j - y**2 + 4*y wrt y?
-2
Let b be (-1 + 0)*(-1 - 1). Let g = b + 0. Find the third derivative of 2*r**4 + g*r**2 + 0*r**2 - 3*r**2 wrt r.
48*r
Let l(t) be the first derivative of t**7/14 + t**3/2 + 2*t - 3. Let x(a) be the first derivative of l(a). What is the second derivative of x(q) wrt q?
60*q**3
What is the second derivative of -26*l + 39*l**4 + 10*l - 26*l - 5*l**4 wrt l?
408*l**2
Let z(b) = b. Let q be z(5). Let y = -2 + q. Find the third derivative of f**2 - y*f**2 + 2*f**4 + 0*f**4 wrt f.
48*f
Let y(s) = 15*s**3 + 6*s**2 - 6*s + 1. Let x(i) = 16*i**3 + 7*i**2 - 7*i. Let b(j) = 6*x(j) - 7*y(j). Find the first derivative of b(m) wrt m.
-27*m**2
Let z(c) be the second derivative of -c**5/5 - 7*c**3/6 - 4*c. Find the second derivative of z(g) wrt g.
-24*g
Let j = 8 - 4. Suppose 2*g + 10 = j*g. What is the third derivative of 0*b**g - 3*b**2 - 4*b**2 + 3*b**5 + 4*b**2 wrt b?
180*b**2
Let i(o) = 2*o - 19. Let h be i(11). Find the first derivative of 0 - 5 + h + t wrt t.
1
Let c = 23 - 15. What is the second derivative of -c + m**2 + 2*m + 8 - m wrt m?
2
Let c = -12 - -15. Let o(g) be the first derivative of 0*g**c + 0*g - 2/5*g**5 - 2 + 0*g**4 + g**2. Find the second derivative of o(x) wrt x.
-24*x**2
Let s(t) be the second derivative of -7*t**6/6 + 4*t**3/3 + 41*t. What is the second derivative of s(o) wrt o?
-420*o**2
Suppose 3*m + 1 = -2. Let z be (8 - 5) + (-2 - m). Find the third derivative of -x**3 + 2*x**6 + x**3 + x**2 + z*x**6 wrt x.
480*x**3
Let g(j) be the third derivative of j**5/30 + j**4/3 - 12*j**2. What is the second derivative of g(p) wrt p?
4
Let z(p) be the third derivative of -p**9/63 + p**5/10 - 3*p**2. Find the third derivative of z(a) wrt a.
-960*a**3
What is the second derivative of -5*x**4 + 0*x - 34*x + 10*x**4 wrt x?
60*x**2
Let h = -22 - -24. Let v(y) be the first derivative of -2/3*y**3 + 1/2*y**4 + 0*y + 0*y**h - 2. Find the third derivative of v(u) wrt u.
12
What is the third derivative of 26*p**2 + 4*p**2 - 42 + 42 + 16*p**5 wrt p?
960*p**2
Let m(b) be the second derivative of -b**6/3 - 5*b**4/6 + b. Find the third derivative of m(f) wrt f.
-240*f
Suppose -3 - 1 = -t. Find the second derivative of -4*o - 4*o**4 + 4*o**t - o**5 + 7*o wrt o.
-20*o**3
Let s(o) = 9*o**5 + 3*o**4 - 25*o**2 - 3. Let w(v) = 18*v**5 + 7*v**4 - 50*v**2 - 7. Let g(q) = -7*s(q) + 3*w(q). What is the third derivative of g(f) wrt f?
-540*f**2
Suppose -2*y + 10 = -5*y + 2*w, y + 10 = 2*w. Differentiate -2*j**3 + 2 + 4 + y - 5*j**3 with respect to j.
-21*j**2
Let n(r) = r**2 + 4. Let j be n(0). What is the second derivative of -4*c + 0*c - j*c**5 + 6*c wrt c?
-80*c**3
Let s(z) be the third derivative of 0*z**6 + 0 + 4*z**2 + 0*z**4 - 1/60*z**5 + 1/112*z**8 + 0*z**3 + 0*z**7 + 0*z. What is the third derivative of s(f) wrt f?
180*f**2
Let q = 6 + -1. Suppose q*j = -3*d - 9, 0*d + 2*d + 3*j = -5. What is the first derivative of -3 - 2*b + 4 + d - 4 wrt b?
-2
Let b(p) be the first derivative of -17*p**5/5 - p**2 - 11. What is the second derivative of b(l) wrt l?
-204*l**2
Let r(p) = -13*p**4 + 5*p**3 - 25*p**2 - 5. Let q(v) = 6*v**4 - 3*v**3 + 13*v**2 + 3. Let j(h) = -5*q(h) - 3*r(h). Find the third derivative of j(u) wrt u.
216*u
Differentiate -7*a**3 - 1 + 8 - 14 with respect to a.
-21*a**2
Let v(w) be the first derivative of -9*w**2 - 20*w - 27. Differentiate v(x) with respect to x.
-18
Suppose -5*v - 1 = -16. Find the third derivative of -y**2 - 3*y**2 - y**2 + y**5 + v*y**2 wrt y.
60*y**2
Let c(f) = 8*f + 8. Let x(z) = 3 + 14*z + 4 - 7*z. Let d(s) = -6*c(s) + 7*x(s). Find the first derivative of d(m) wrt m.
1
Let v(y) be the third derivative of 19*y**5/60 + 3*y**3 + 10*y**2. Differentiate v(z) wrt z.
38*z
Let i(r) be the first derivative of -25*r**6/6 + 22*r**3/3 + 25. What is the third derivative of i(v) wrt v?
-1500*v**2
Let j(z) be the first derivative of 23*z**4/4 - 27*z + 9. What is the first derivative of j(n) wrt n?
69*n**2
Find the third derivative of -6*l**2 + 3*l**3 + 5*l**3 + 21*l**2 wrt l.
48
Let m(a) = -2*a**3 - 3*a**2 - a - 3. Let n(x) = -8*x**3 - 11*x**2 - 5*x - 11. Let i(p) = 22*m(p) - 6*n(p). Find the second derivative of i(l) wrt l.
24*l
Suppose 0 = 2*p - 4. Let q be (-6)/(p + 1) - -5