- 21, -5*h = 4*j - 4 + 7. Find the second derivative of 5*a + n*a - 3*a**5 - j*a wrt a.
-60*a**3
Let v(i) = -i**5 - i**4 + i**2 - i. Let m(w) = -w**5 - 6*w**4 - 6*w. Let u(j) = -m(j) + 6*v(j). What is the third derivative of u(n) wrt n?
-300*n**2
Let p(v) = v**3 + 9*v**2 + v + 11. Let c be p(-9). What is the third derivative of 9*a**3 - 3*a**c + 7*a**2 + a**2 wrt a?
54
Let r(a) be the second derivative of -1/2*a**3 + 0 + 0*a**4 - 2*a - 1/10*a**5 + 0*a**2. Find the second derivative of r(j) wrt j.
-12*j
Let w(m) = 58*m**2 + 15*m. Let k(a) = a**2. Let f(n) = -3*k(n) - w(n). What is the second derivative of f(g) wrt g?
-122
Let t be ((-6)/7)/((-7)/49). Suppose 4*l + 29 = 5*u, -t*l = u - 2*l - 1. What is the derivative of 3 - u + 2*c**2 + 0 wrt c?
4*c
Let q(d) be the second derivative of 7/6*d**3 + 5*d + 0 + 7/2*d**2. Differentiate q(t) with respect to t.
7
Find the first derivative of 22 + 0*b + 0*b - 27 - 4*b**2 wrt b.
-8*b
Let t = 7 + -4. Find the second derivative of 0*y - 7*y + t*y - 2*y**2 + 0*y wrt y.
-4
Let t(y) be the first derivative of -y**7/140 + y**6/360 - 5*y**3/3 - 3. Let q(x) be the third derivative of t(x). Find the third derivative of q(f) wrt f.
-36
Let m(c) be the second derivative of 7*c**5/20 - 17*c**2/2 - 22*c. What is the first derivative of m(w) wrt w?
21*w**2
What is the second derivative of -2*c - 4*c - 5*c**2 + 2*c - 8*c**2 wrt c?
-26
Let o(h) = -2*h**3 - h**2 - h - 1. Let p be o(-1). Suppose 5*u + 2 = 7. Find the first derivative of -2*m**2 + p + 1 - u wrt m.
-4*m
Let j(z) be the second derivative of -23*z**4/12 + 27*z**2/2 + 7*z. Differentiate j(l) with respect to l.
-46*l
Let x(g) be the second derivative of 2*g**5/5 - 13*g**2/2 - 12*g. What is the derivative of x(u) wrt u?
24*u**2
Suppose 0 = -3*u + 4*u + 1. Let g = u + 4. Differentiate -s + g*s + s - 2 + 0*s wrt s.
3
What is the first derivative of -418*j**4 + 2 + 431*j**4 + 1 wrt j?
52*j**3
Let u(f) be the second derivative of -f**8/2240 + f**5/60 - f**4/4 - f. Let m(o) be the third derivative of u(o). Differentiate m(i) wrt i.
-9*i**2
Let w = -9 + 9. Let y(g) be the second derivative of 0*g**4 - 2*g + 0*g**5 + 1/15*g**6 + 1/3*g**3 + w + 0*g**2. Find the second derivative of y(s) wrt s.
24*s**2
Suppose -3*u = 2*u - 20. Differentiate 2*c**u - 9*c**4 + 1 + 3*c**4 wrt c.
-16*c**3
Let l(k) be the third derivative of -k**8/48 - k**6/30 - 4*k**4/3 - 7*k**2. What is the second derivative of l(a) wrt a?
-140*a**3 - 24*a
Let u(c) be the first derivative of c**5 + c**2/2 + 5. What is the second derivative of u(r) wrt r?
60*r**2
Let q(m) be the third derivative of -m**6/40 + 5*m**3/2 - 15*m**2. Differentiate q(k) wrt k.
-9*k**2
Let o(k) be the second derivative of k**6/144 + k**5/60 - 5*k**4/12 + 4*k. Let b(t) be the third derivative of o(t). Differentiate b(r) with respect to r.
5
Let f(i) = -i**3 + i**2 + 2*i. Let n be f(2). Suppose s + n*s = 0. Find the first derivative of -v + 1 + s + 0 wrt v.
-1
What is the derivative of 0*b**3 + 4*b**3 + 2 + b**3 + 11 wrt b?
15*b**2
Let j(v) = -v + 12. Let g be j(5). What is the derivative of 5*y**3 - 6 - g + 4 wrt y?
15*y**2
Suppose 5*c = 2*h + 31, -5*c + 17 + 11 = -h. Find the third derivative of -b - 3*b**c - 3*b**2 + b + 4*b**2 wrt b.
-180*b**2
Suppose 3*n - a - 6 = 0, n - 3*n = 4*a + 10. Suppose 5*j = 9*j - 4. Differentiate j + i + 2 + n + 0 wrt i.
1
Let g(k) be the third derivative of -11*k**6/60 - k**4/24 - 37*k**3/6 - k**2 + 6. Differentiate g(f) with respect to f.
-66*f**2 - 1
Let b(g) = -g**4 + 2*g**2 - 4*g. Let o(x) be the first derivative of -x**2/2 + 2. Let y(n) = b(n) - 4*o(n). Find the third derivative of y(t) wrt t.
-24*t
Find the third derivative of 3*y**5 - 6*y**5 - 3*y**2 + 0*y**4 + 0*y**4 wrt y.
-180*y**2
What is the third derivative of -413*n**2 + 387*n**2 + 14*n**6 - 2*n**6 wrt n?
1440*n**3
Let h(k) = -10*k**3 + 14*k - 4. Let s(z) = 11*z**3 - 15*z + 3. Let w(g) = -3*h(g) - 4*s(g). Find the second derivative of w(q) wrt q.
-84*q
Let c(l) = 20*l**2 - 19*l + 2. Let v(n) = 101*n**2 - 95*n + 11. Let k(i) = 11*c(i) - 2*v(i). Find the second derivative of k(w) wrt w.
36
Let o(i) be the second derivative of i**6/120 + i**4/6 + 5*i**2/2 - 3*i. Let t(a) be the first derivative of o(a). What is the second derivative of t(g) wrt g?
6*g
Let n(s) = -11*s - 9. Let f(t) = -t**2 + 7*t + 5. Let b be f(8). Let a(z) = -6*z - 4. Let i(x) = b*n(x) + 5*a(x). Find the first derivative of i(r) wrt r.
3
Let r(q) = -16*q**3 + 46*q + 14. Let o(z) = -3*z**3 + 9*z + 3. Let l(t) = 14*o(t) - 3*r(t). What is the second derivative of l(v) wrt v?
36*v
Find the third derivative of 7*c**3 + 27*c**3 + 25*c**3 + 19*c**2 - 19*c**3 wrt c.
240
Differentiate 4*b + 3 + 2*b - 4 + 8 wrt b.
6
Differentiate -2*z - 9 + z**2 + 2*z with respect to z.
2*z
Let p = -1 - 4. Let j be -1 - (0 + -1) - p. What is the third derivative of -2*g**2 + g**5 - g**5 + g**j wrt g?
60*g**2
Let u = 19 + -17. Let n = -2 - -4. What is the second derivative of -3*q**n + q**u + 0*q - q wrt q?
-4
What is the second derivative of 7*f + 3*f**3 + 3*f**3 - 8*f - 11*f wrt f?
36*f
Suppose 6*f - 6 = 3*f. What is the third derivative of 2*l**2 + 0*l**2 - 4*l**5 - l**f wrt l?
-240*l**2
Differentiate 8 - 2 + 1 - 2*g + g wrt g.
-1
Let i(c) be the first derivative of 2*c + 3 + 1/2*c**2. What is the derivative of i(v) wrt v?
1
Let j(c) be the second derivative of -c + 0*c**6 + 0*c**7 + 0*c**3 + 0*c**5 + 1/12*c**4 + 0 - 1/28*c**8 + 0*c**2. What is the third derivative of j(n) wrt n?
-240*n**3
Let x(r) be the second derivative of -r**7/840 + 3*r**5/40 + 7*r**4/12 + 5*r. Let c(l) be the third derivative of x(l). What is the derivative of c(t) wrt t?
-6*t
Let r(c) be the third derivative of -c**7/70 + 4*c**3/3 - 3*c**2. Differentiate r(q) wrt q.
-12*q**3
Differentiate 3*l**4 - 4*l**4 - l**4 - 6 wrt l.
-8*l**3
Let c be 27/(-36) + (-38)/(-8). What is the third derivative of 3*i**2 + i**c - 6*i**4 + 3*i**4 - 5*i**2 wrt i?
-48*i
Let n be 3 - (3 - (-1 + -2)). Let s(x) = -2*x**2 - 2*x. Let h(w) = 5*w**2 + 3*w. Let q(j) = n*h(j) - 7*s(j). What is the second derivative of q(g) wrt g?
-2
Let u(l) be the second derivative of 0*l**5 + 8*l + 0*l**2 + 0*l**6 + 0 + 0*l**3 - 4/21*l**7 + 1/4*l**4. What is the third derivative of u(j) wrt j?
-480*j**2
Let g(y) be the first derivative of 9*y**5/5 + y**4/4 - 29*y**3/3 + 24. What is the third derivative of g(v) wrt v?
216*v + 6
Let u = 8 - 2. Let m be 40/18 + (-12)/54. Find the second derivative of -3*s**2 + 0*s**2 + s - m*s**2 + u*s**2 wrt s.
2
Let x(q) = 3*q + 2. Let t be x(1). Let v(y) = y - 4. Let h be v(6). Find the third derivative of 2*i**t - 5*i**2 + i**5 + 3*i**h wrt i.
180*i**2
Differentiate -10*d**3 + 7*d**3 + 25 - 15*d**4 + 3*d**3 with respect to d.
-60*d**3
Let x(n) = 2*n**2 + 3*n - 4. Let s be x(-3). Let w(d) = d - 2. Let q be w(s). Find the second derivative of t - t**3 - q*t + t wrt t.
-6*t
Let m be (-4)/(-2)*(-2 - -3). Differentiate -5*r**m + 2*r**2 + 3 + 4*r**2 with respect to r.
2*r
Suppose -9 = -p - 3*s + 3, 37 = 4*p + s. Suppose 0*k - 3*k = -p. Find the third derivative of 0*x**5 - 2*x**5 + x**2 + k*x**5 wrt x.
60*x**2
What is the second derivative of -21*m - 1 + 4*m + 17*m**2 + 1 wrt m?
34
Let x be 3 + -2 + -2 + 3. What is the third derivative of -5*d**2 + 13*d**3 - 4*d**3 + 6*d**x wrt d?
54
Let o(r) be the second derivative of -13*r**5/20 - r**4/4 - 18*r. What is the third derivative of o(i) wrt i?
-78
Let m = 8 + -6. Find the third derivative of 2*k**2 - 3*k**3 + 2*k**3 - 2*k**3 + 0*k**m wrt k.
-18
Let q(y) be the first derivative of -7*y**5/5 + y**4/2 - 17*y - 54. Differentiate q(r) with respect to r.
-28*r**3 + 6*r**2
What is the third derivative of 233*i**4 - 227*i**4 - i**3 + i**3 + 8*i**2 wrt i?
144*i
Find the second derivative of -6*w**2 + 13*w + 17*w + 6*w**4 + 0*w - w**4 wrt w.
60*w**2 - 12
Let j(a) be the first derivative of 3*a**4/4 - 8*a**3 - 18. What is the third derivative of j(z) wrt z?
18
Let k(i) be the first derivative of 2*i**5/5 - 10*i**2 + 20. Find the second derivative of k(z) wrt z.
24*z**2
Let n be -5*2/(0 + 2). Let c = 9 + n. Find the second derivative of -a + a**c - 7*a**2 + 7*a**2 wrt a.
12*a**2
Let h(n) be the first derivative of n**7/210 - n**5/20 - 3*n**2/2 + 5. Let o(z) be the second derivative of h(z). Find the thi