wrt i.
3
Let i(c) = 7*c**4 - 5*c**3. Let y(u) = u**4 + u**3 - u. Let t(l) = -i(l) - 5*y(l). Find the second derivative of t(g) wrt g.
-144*g**2
Let m = -8 - -13. Let o(r) = -r**3 - 10*r**2 - 9*r + 2. Let y be o(-9). Find the third derivative of -2*k**5 + 0*k**m - 2*k**2 + 3*k**y wrt k.
-120*k**2
What is the third derivative of -106*m**3 - 12*m**2 + 106*m**3 - 16*m**4 - 13*m**4 wrt m?
-696*m
Let x(j) be the second derivative of -4*j**6/5 + 10*j**2 + 28*j. Differentiate x(l) wrt l.
-96*l**3
Let y(q) = -3*q**6 + 9*q**3 + 5*q**2 + 9*q - 9. Let x(i) = i**6 - 2*i**3 - i**2 - 2*i + 2. Let j(m) = -9*x(m) - 2*y(m). Find the third derivative of j(w) wrt w.
-360*w**3
Let f(o) be the third derivative of o**7/1680 + o**6/120 + o**5/30 + o**2. Let k(y) be the third derivative of f(y). What is the first derivative of k(h) wrt h?
3
What is the first derivative of -27*z**2 - 29 - 9*z**2 + 77 wrt z?
-72*z
Let z(a) be the first derivative of -a**6/2 - 7*a**3/3 - 3. What is the third derivative of z(t) wrt t?
-180*t**2
Let j(o) = o**2. Let t(h) = 8*h**3 + 6*h**2 + 5*h. Let y(z) = 6*j(z) - t(z). Find the second derivative of y(p) wrt p.
-48*p
Suppose 4*m - 11 = -n + 38, 5*m - 2*n = 58. What is the second derivative of -y - 2 + 2 - 11*y**3 + m*y**3 wrt y?
6*y
Let z(i) = -11*i - 6. Suppose 0*j = 4*v - j + 15, 4*j - 12 = 4*v. Let t(y) = 5*y - 3*y + 3*y + y + 3. Let b(h) = v*z(h) - 7*t(h). Differentiate b(n) wrt n.
2
Let w(f) = 9*f**3 - 3*f**2 + 30*f + 3. Let b(j) = -18*j**3 + 5*j**2 - 60*j - 5. Let o(v) = 3*b(v) + 5*w(v). Find the second derivative of o(h) wrt h.
-54*h
What is the third derivative of -95*p**6 + 39*p**6 + 25*p**2 + 32*p**6 wrt p?
-2880*p**3
Let v(h) be the second derivative of 2*h**6/15 + 3*h**3/2 + 8*h. What is the second derivative of v(y) wrt y?
48*y**2
Let y(c) = c**2. Let q(b) = 8*b. Let g(i) = q(i) - 5*y(i). Find the second derivative of g(h) wrt h.
-10
Let p(x) = 11*x**3 + x**2 + x. Let d be p(-1). Let s = -5 - d. What is the second derivative of -s*l + 1 + 7*l - 1 + l**3 wrt l?
6*l
Find the third derivative of -3*t**3 - 9*t**2 + 2*t**3 + 2*t**6 + t**3 wrt t.
240*t**3
What is the first derivative of -104*u**2 - 39 + 80*u**2 + 46*u**2 wrt u?
44*u
Let j(s) = -s + 1. Let m be j(-3). What is the derivative of 5*f**4 - 4 - m*f**2 + 4*f**2 + 1 wrt f?
20*f**3
Let z(t) be the third derivative of -7*t**5/10 + 7*t**4/6 + t**3/3 + 8*t**2 + 3. What is the second derivative of z(k) wrt k?
-84
Let l(v) = 16*v**4 - 17*v**3 + 17*v + 12. Let r(g) = -5*g**4 + 6*g**3 - 6*g - 4. Let k(z) = -6*l(z) - 17*r(z). What is the first derivative of k(c) wrt c?
-44*c**3
Let f(h) = 4*h**2 - 13. Let t(b) = 15*b - 7*b - 8*b - 7 + 2*b**2. Let v(w) = -6*f(w) + 11*t(w). Differentiate v(l) wrt l.
-4*l
Let t = 19 - 13. Let w(i) be the third derivative of 0*i + 0*i**t + 1/70*i**7 + 0*i**5 - i**2 + 0*i**4 + 0 + 1/2*i**3. Find the first derivative of w(d) wrt d.
12*d**3
What is the derivative of -21 - 18*x + 41 - 2 wrt x?
-18
Let h(x) = 2*x**4 + 4*x**3 + 1. Let b(c) = -3*c**4 - 5*c**3. Let n(m) = -4*b(m) - 5*h(m). What is the derivative of n(y) wrt y?
8*y**3
What is the third derivative of n**4 - 77*n**5 - 3 + 43*n**5 + n**2 + 29*n**5 wrt n?
-300*n**2 + 24*n
Suppose -n + 2*n = -11. Let p = 15 + n. What is the second derivative of r - 2*r**4 + r - p*r wrt r?
-24*r**2
Find the first derivative of -11*h**3 + 25*h**3 - 24*h**3 + 12 wrt h.
-30*h**2
Let r(n) be the second derivative of 7*n**5/20 + n**2 - 3*n. What is the first derivative of r(s) wrt s?
21*s**2
Let a = 4 - 0. Find the third derivative of 0*z**a + 2*z**4 - 5*z**2 + z**4 wrt z.
72*z
Let g = 7 - 4. What is the second derivative of 2*a**2 + 7*a**3 - 2*a**2 - 3*a - 3*a**g wrt a?
24*a
Let w(n) be the first derivative of 0*n + n**2 + 0*n**4 - 1/2*n**6 + 0*n**3 + 0*n**5 - 1. What is the second derivative of w(x) wrt x?
-60*x**3
Let a(r) be the third derivative of -r**5/10 - 3*r**4/4 - 14*r**2. What is the second derivative of a(c) wrt c?
-12
Let o(p) be the second derivative of 0*p**5 + 0*p**6 - 4*p + 0*p**2 + 3/4*p**4 + 9/56*p**8 + 0*p**3 + 0 + 0*p**7. What is the third derivative of o(l) wrt l?
1080*l**3
Let x(h) be the third derivative of -2*h**5/15 + 7*h**4/12 - 6*h**2. What is the second derivative of x(u) wrt u?
-16
Let u be 2/(-1) - (12 + -8). Let c(h) = h + 7. Let a(m) = -m - 8. Let r(v) = u*c(v) - 5*a(v). What is the derivative of r(d) wrt d?
-1
Let k(z) be the second derivative of -z**8/56 - z**4/6 - 3*z**2/2 - 2*z. Let d(w) be the first derivative of k(w). Find the second derivative of d(n) wrt n.
-120*n**3
Let l(y) = -y**2 - y + 1. Let a(o) = -6*o + 5. Let k(p) = a(p) - 5*l(p). Find the second derivative of k(r) wrt r.
10
Let q(l) = -58*l**2 + 6*l. Let r(a) = -2*a**2 - 1. Let u(h) = -q(h) + 4*r(h). Find the second derivative of u(p) wrt p.
100
Let u be (-21)/(-9) - 1/3. Let z be 1/((-5)/u + 3). What is the third derivative of -d**4 + 3*d**z + 2*d**4 - d**2 wrt d?
24*d
Let z(w) = -13*w + 3. Let s(a) = -20*a + 4. Let b(m) = 5*s(m) - 7*z(m). What is the derivative of b(v) wrt v?
-9
Let s(o) be the second derivative of 1/15*o**6 + 0*o**4 + 0*o**3 - 4*o + 0*o**5 - 3/2*o**2 + 0. Find the first derivative of s(c) wrt c.
8*c**3
Let q(b) be the second derivative of b**6/360 + b**5/60 - b**4/4 + 3*b. Let r(g) be the third derivative of q(g). Differentiate r(y) with respect to y.
2
Let l = 4 + -7. Let t(r) = 7*r + 7. Let y(i) = 4*i + 4. Let j(x) = l*t(x) + 5*y(x). What is the first derivative of j(g) wrt g?
-1
Let r(h) be the third derivative of 7*h**6/60 + 3*h**3/2 - 17*h**2. What is the first derivative of r(m) wrt m?
42*m**2
Let m(f) be the first derivative of 17*f**4/4 - 2*f + 1. Differentiate m(a) wrt a.
51*a**2
Let x(n) = -n - 8. Let d be x(-9). Differentiate -8 + 3 + 2*z**4 + d wrt z.
8*z**3
Let r(f) be the third derivative of f**8/168 - f**5/20 + f**2. What is the third derivative of r(l) wrt l?
120*l**2
Find the second derivative of -16 - 20 + 3*i + 31 - 45*i**4 wrt i.
-540*i**2
Let u(d) be the first derivative of d**8/336 + d**4/24 + d**2/2 - 1. Let s(p) be the second derivative of u(p). What is the second derivative of s(r) wrt r?
20*r**3
Let d(b) be the third derivative of b**7/42 + 5*b**3/6 - 7*b**2. Find the first derivative of d(u) wrt u.
20*u**3
Let b(s) be the third derivative of -s**8/14 + 3*s**4/4 + 29*s**2. What is the second derivative of b(l) wrt l?
-480*l**3
Let h(d) = 154*d**3 + 187*d**2 + 495*d + 187. Let k(g) = 5*g**3 + 6*g**2 + 16*g + 6. Let f(p) = -6*h(p) + 187*k(p). Find the second derivative of f(v) wrt v.
66*v
Let x(l) = 30*l**4 + 3*l**3 + 13*l**2 - 3. Let m(z) = 60*z**4 + 5*z**3 + 25*z**2 - 5. Let b(h) = 3*m(h) - 5*x(h). Find the third derivative of b(d) wrt d.
720*d
Let y(b) be the first derivative of 3*b**2/2 + 7*b - 7. What is the first derivative of y(g) wrt g?
3
Let a be ((-2)/4)/(1/(-4)). Suppose 15 = h + 4*h. Find the second derivative of -f**4 + f - h*f + a*f**4 wrt f.
12*f**2
Let d(r) = r**3 - 4*r + 1. Let t(m) = -m**3 + 3*m. Let b(s) = -3*d(s) - 4*t(s). What is the first derivative of b(w) wrt w?
3*w**2
Differentiate 74 + 66 - 16*m - 155 wrt m.
-16
Let y be 81/(-36)*(-16)/6. Differentiate t - 2*t + y*t + 6 - 1 with respect to t.
5
Let q be (-3)/(3/2*-1). Find the third derivative of 21*u**3 - 4 - q*u**2 - 16*u**3 + 4 wrt u.
30
Let b(l) = l**2 + 4*l + 4. Let y be b(-2). Let t(c) be the first derivative of 0*c**2 + y*c**3 + 1/4*c**4 - 1 + c. Differentiate t(p) wrt p.
3*p**2
Suppose -4*h = -3*h - 6. Find the first derivative of -h*c - 2 - 2 + 4 + 6 wrt c.
-6
Let s(q) be the second derivative of -3*q**6/2 + 5*q**4/4 + 22*q. What is the third derivative of s(v) wrt v?
-1080*v
Let s(p) be the first derivative of 0*p**5 - 5/2*p**2 + 0*p**3 + 0*p + 0*p**4 + 2 + 1/3*p**6. Find the second derivative of s(j) wrt j.
40*j**3
Let x(z) be the second derivative of z**7/210 - z**5/15 - 3*z**2/2 + 4*z. Let m(h) be the first derivative of x(h). Find the third derivative of m(q) wrt q.
24*q
Let j(t) be the second derivative of 0*t**4 + 0*t**2 + 1/4*t**5 - 4*t + 2/3*t**3 + 0. What is the second derivative of j(p) wrt p?
30*p
Let j(y) = 22*y**4 + y**3 + y**2 + 21*y + 1. Let t(r) = -r**4 + r**3 + r**2 - r + 1. Let b(a) = j(a) - t(a). What is the second derivative of b(o) wrt o?
276*o**2
Suppose 0*h + 5*h = 0