- 53. Let i(v) = 5*l(v) + 8*r(v). What is the first derivative of i(u) wrt u?
14*u
Suppose 6*i - 17 = 13. Find the third derivative of 11*f - 11*f - 5*f**3 - i*f**2 wrt f.
-30
Let y = 36 + -34. Let r = -1 - -3. What is the second derivative of 4*z**2 - y*z**2 - 4*z**2 + r*z wrt z?
-4
Find the first derivative of 6*g - 6*g + 4 + 20*g**3 + 2 wrt g.
60*g**2
Let k(z) be the second derivative of -z**7/14 + z**4/6 + 8*z. What is the third derivative of k(i) wrt i?
-180*i**2
Let z(b) be the second derivative of -23*b**7/42 - 5*b**3/2 + 7*b. What is the second derivative of z(k) wrt k?
-460*k**3
Let x(q) = 2*q**3 + 7*q + 4. Let k = -39 + 66. Let y(c) = -15*c**3 - 48*c - 27. Let s(h) = k*x(h) + 4*y(h). What is the second derivative of s(p) wrt p?
-36*p
What is the first derivative of 8*z - 7 + 6 + 29 wrt z?
8
Find the second derivative of 4*j + 6*j + 117*j**4 - 91*j**4 wrt j.
312*j**2
Let a(r) = 3*r**4 + 2*r**2 - 2*r - 33. Let i(b) = 9*b**4 + 7*b**2 - 7*b - 100. Let w(z) = -7*a(z) + 2*i(z). Differentiate w(j) with respect to j.
-12*j**3
Let d be -1*(-14)/(-4)*-2. Suppose -3*f + 5 = -d. Find the first derivative of u - f - u + u**3 wrt u.
3*u**2
Let z be (-41)/2*(-4 - -2). What is the third derivative of -z*b**2 + 0*b**6 + 49*b**2 + 4*b**6 wrt b?
480*b**3
Suppose -2 = -6*i + 5*i. Find the third derivative of -i*m**2 - 9*m**4 + 3 + 11*m**2 - 3 wrt m.
-216*m
Let v(q) be the second derivative of q**7/105 + q**4/6 + q**2 + q. Let t(y) be the first derivative of v(y). Find the second derivative of t(u) wrt u.
24*u**2
Let m(n) be the third derivative of 6*n**2 + 0*n**5 + 1/20*n**6 + 1/8*n**4 + 0*n + 0 + 0*n**3. What is the second derivative of m(a) wrt a?
36*a
Let y be (1 + 5)*(-10)/(-20). Find the third derivative of z**2 + 3*z**3 + y*z**2 - 2*z**3 wrt z.
6
Let y = -3 - -9. Find the second derivative of y*x + 3*x**4 - 3*x - 4*x wrt x.
36*x**2
Let f(c) be the second derivative of -5*c**7/14 - c**3/3 + 2*c. Find the second derivative of f(u) wrt u.
-300*u**3
Let o(a) = -11*a**3 - 5*a**2 - 27*a - 5. Let y(s) = -12*s**3 - 4*s**2 - 26*s - 4. Let x(r) = -4*o(r) + 5*y(r). Find the second derivative of x(l) wrt l.
-96*l
Let h(u) be the second derivative of -13*u**5/20 + 13*u**2/2 - 6*u. Differentiate h(z) with respect to z.
-39*z**2
Let i(x) = 12*x - 20*x**2 - 10 + 3*x**2 + 2. Let z(r) = -6*r**2 + 4*r - 3. Let y(p) = 3*i(p) - 8*z(p). Find the second derivative of y(u) wrt u.
-6
What is the derivative of -7*k - 4*k + 7*k + 3 - 9 wrt k?
-4
Let r(y) be the third derivative of 0*y**4 - 1/20*y**5 + 0*y + 0*y**6 - 1/210*y**7 + 4*y**2 + 0*y**3 + 0. Find the third derivative of r(u) wrt u.
-24*u
Let a(w) be the second derivative of w**8/3360 - w**6/720 + w**4/2 - 6*w. Let o(l) be the third derivative of a(l). What is the second derivative of o(b) wrt b?
12*b
Let h(g) be the second derivative of -5*g**8/28 + g**4/3 - 5*g. What is the third derivative of h(f) wrt f?
-1200*f**3
Let n(v) be the first derivative of -11*v**4/4 + 12*v - 13. What is the derivative of n(i) wrt i?
-33*i**2
Let x(o) be the second derivative of 0*o**2 + 0 - 1/8*o**8 + 0*o**3 + 0*o**5 + 0*o**7 + o + 0*o**6 + 1/3*o**4. What is the third derivative of x(g) wrt g?
-840*g**3
What is the derivative of -31*m**4 + m**4 + 28 + 16*m**4 wrt m?
-56*m**3
Let o(j) = 8*j + 1. Let n(i) = -3*i. Let d(u) = 11*n(u) + 4*o(u). Find the first derivative of d(k) wrt k.
-1
Let w(t) = -31*t**3 - 13*t + 20. Let u(f) = 15*f**3 + 6*f - 10. Let j(g) = 13*u(g) + 6*w(g). Differentiate j(n) with respect to n.
27*n**2
Let t(p) = 2*p**3 - 5*p**2 + 1. Let o be t(4). What is the third derivative of l**2 - 49 - l**6 + o wrt l?
-120*l**3
Let w(l) = l**2 + 1. Let d(i) = i**2 + 1. Let m(v) = 6*d(v) + w(v). Differentiate m(j) wrt j.
14*j
Let h = 5 + -3. What is the second derivative of h*c + 6*c**2 + c**4 - 6*c**2 wrt c?
12*c**2
Let s be (-4)/(-6) - 16/(-12). Differentiate -2 + 3*a - a - 2*a - s*a with respect to a.
-2
Let x(q) = 8*q**3 - 6*q**2 - 16*q - 6. Let l(y) = -8*y**3 + 5*y**2 + 15*y + 5. Let u(j) = 6*l(j) + 5*x(j). What is the second derivative of u(b) wrt b?
-48*b
Let q(p) = -3*p - 10. Let d be q(-5). Find the second derivative of 4*b**2 + 3*b + d*b - 4*b + b wrt b.
8
Let x(d) be the second derivative of d**7/21 + 3*d**4/2 - 4*d. Find the third derivative of x(o) wrt o.
120*o**2
Let h be -1 + 14*(-3)/(-6). Let j be (0 + -1)/((-2)/h). Find the second derivative of 9 - 9 - 2*a + 2*a**j wrt a.
12*a
Find the third derivative of -22*d**2 + d**3 + d**3 - 3*d**3 + d wrt d.
-6
Let q(o) be the second derivative of -2*o**6/5 + 11*o**4/12 - 5*o. What is the third derivative of q(v) wrt v?
-288*v
Let w(r) = r. Let j(t) = -13*t - 27. Let k(p) = j(p) + 4*w(p). What is the derivative of k(a) wrt a?
-9
Suppose -3*n = 2*n - 20. What is the first derivative of n - 5*l**3 + 5*l**3 + 3*l**4 wrt l?
12*l**3
Let v(b) be the first derivative of 2*b**6 - 7*b**3/3 - 4. Find the third derivative of v(l) wrt l.
720*l**2
Let a(b) be the third derivative of b**8/56 + 7*b**4/12 + 21*b**2. Find the second derivative of a(i) wrt i.
120*i**3
Let c(p) be the first derivative of p**4/2 - 26*p + 20. What is the derivative of c(j) wrt j?
6*j**2
Let m be 13/5 - (-4)/10. Let n = m - 1. What is the third derivative of -2*z**2 - 3*z**4 - 2 + n - z**2 wrt z?
-72*z
Let p(y) be the second derivative of y**7/42 + y**4/6 + y**2 - 2*y. Let c(n) be the first derivative of p(n). What is the second derivative of c(u) wrt u?
60*u**2
Suppose 5*r - 17 = -2. Suppose 2*n - 19 = -n + 2*t, -3*t + r = -n. What is the third derivative of 3*o**2 - 9*o + n*o + 3*o**3 wrt o?
18
Let d(f) be the second derivative of 2*f + 1/12*f**4 + 0 + 5/2*f**2 + 0*f**3. What is the derivative of d(h) wrt h?
2*h
Find the first derivative of -72 - 74 + 136 + w**3 wrt w.
3*w**2
Let p(h) be the first derivative of h**4/6 - h**3/6 + h**2/2 + 3. Let x(d) be the second derivative of p(d). What is the derivative of x(j) wrt j?
4
Let s = -45 - -45. Let g(m) be the first derivative of -m + 0*m**4 - 2/5*m**5 - 3 + 0*m**3 + s*m**2. Find the first derivative of g(u) wrt u.
-8*u**3
Let k = 6 + 0. Let z(m) be the third derivative of 0*m**4 + 1/60*m**k + 2*m**2 + 0*m**5 - 1/3*m**3 + 0 + 0*m. Find the first derivative of z(i) wrt i.
6*i**2
Suppose -5*y + 5 = 0, -t - 2*t - 2*y = -23. What is the derivative of 4 + 7*u - 2*u**3 - t*u wrt u?
-6*u**2
Let w(o) be the first derivative of 11*o**3 + 2*o**2 - 23. Find the second derivative of w(b) wrt b.
66
Let x(r) be the second derivative of 0*r**4 - 7/20*r**5 + 0*r**2 + 0 - 3*r - 7/6*r**3. What is the second derivative of x(s) wrt s?
-42*s
What is the first derivative of -3 + 7 + 11*d**4 - 7 wrt d?
44*d**3
Let g(s) be the first derivative of s**6/10 + 2*s**3/3 - 2*s + 3. Let r(d) be the first derivative of g(d). Find the second derivative of r(i) wrt i.
36*i**2
What is the third derivative of -33*s**3 + 11*s**3 + 19*s**3 - 8*s**2 wrt s?
-18
Find the third derivative of -9*d**2 + 2*d**2 + 5*d**2 - 16*d**2 - 6*d**6 wrt d.
-720*d**3
Let o(g) be the second derivative of -g**6/72 + 7*g**5/120 + g**3/2 - 4*g. Let i(h) be the second derivative of o(h). Find the second derivative of i(t) wrt t.
-10
Let d(q) = 3*q**4 + 4*q**3 - 8*q - 4. Let a(w) = 10*w**4 + 11*w**3 - 23*w - 11. Let g(n) = 4*a(n) - 11*d(n). What is the second derivative of g(c) wrt c?
84*c**2
Let b = 2 + -18. Let v be (b/6)/((-6)/9). Find the second derivative of -3*g**v + 2*g + g**4 + g**4 wrt g.
-12*g**2
Let p(h) be the third derivative of -h**7/210 - 7*h**3/6 + 10*h**2. What is the first derivative of p(s) wrt s?
-4*s**3
Suppose -1 = -h + 6. What is the second derivative of 4*m**4 - m**4 + 9*m - h*m wrt m?
36*m**2
Let w = 3 + -1. Let n be 26/10 + (-2)/(-5). What is the second derivative of 0*q + q + 3*q**n + w*q wrt q?
18*q
Let s(a) be the third derivative of -11*a**8/84 - 11*a**5/15 - 39*a**2. What is the third derivative of s(j) wrt j?
-2640*j**2
Suppose -5*r - 2*k = -41, 3*r - 7*k - 6 = -2*k. What is the second derivative of -2*f**3 + 3*f**3 - f - r*f - 4*f**3 wrt f?
-18*f
Let u be (-3)/((-18)/16)*3. Suppose -u - 4 = -4*q. Find the first derivative of -2*x + 2*x + q*x - 2 wrt x.
3
Let t be 40/18 + (-2)/9. Let c(b) be the second derivative of 2*b + 0 + 0*b**4 - 1/2*b**t - 1/10*b**5 + 0*b**3. What is the first derivat