f 0*i**4 + 0*i - 8*i**2 + 0 - 23/6*i**3 - 1/30*i**5. Differentiate f(y) with respect to y.
-4*y
Differentiate 50*t**3 + 55 + 41*t**3 - 282 wrt t.
273*t**2
Let i(s) = -22*s**2 + 15*s. Let k(m) = -m**2 + m. Let o be (-81)/99 + 4/(-22). Let d(f) = o*i(f) + 2*k(f). What is the second derivative of d(n) wrt n?
40
Let y(c) = -c**4 - c**3 - c**2 - c + 1. Let l(q) = -109*q**5 + 3*q**4 + 3*q**3 + 66*q - 3. Let r(t) = -l(t) - 3*y(t). Find the third derivative of r(h) wrt h.
6540*h**2
Let k(s) = -s + 34. Let u be k(-12). Find the third derivative of t**2 - u*t**4 + 20*t**4 - 6*t**2 - 6*t**2 wrt t.
-624*t
Let u(i) = 3*i + 7. Suppose 21 = -4*o - 3. Let y(j) = j + 4. Suppose 31*a + 560 = 87*a. Let l(x) = a*y(x) + o*u(x). Differentiate l(r) wrt r.
-8
Let p = -44 + 44. Find the third derivative of p*a**2 - a**4 + 2*a**2 - 3*a**4 + 9*a**4 wrt a.
120*a
Let l(v) be the third derivative of 13*v**7/42 - v**4 - v**3/6 - 71*v**2. What is the second derivative of l(s) wrt s?
780*s**2
Let k(f) be the second derivative of 13*f**7/14 - 97*f**3/6 + 2*f - 5. What is the second derivative of k(j) wrt j?
780*j**3
Let o(u) be the first derivative of -221*u**5/5 - 92*u + 327. What is the first derivative of o(x) wrt x?
-884*x**3
Let l(h) be the second derivative of 0*h**5 - 4/7*h**7 - 20*h + 0*h**4 - 9/2*h**3 + 0 + 0*h**6 + 0*h**2. What is the second derivative of l(v) wrt v?
-480*v**3
Suppose 33 = 6*x - 27. Let z be x/(-3)*6/(-4). What is the second derivative of z*v + 5*v**5 + 7*v**5 - 12*v - 3*v**5 wrt v?
180*v**3
Let w(y) = 15*y + 2. Let i(d) = -16*d - 1. Let v be 9*8/12 - 1. Let q(u) = v*w(u) + 4*i(u). What is the first derivative of q(k) wrt k?
11
Let g = -2 + 4. Suppose g = 5*l - 4*z, 3*z + 3 = 2*l + 5. What is the third derivative of -v**6 + 5*v**l + 2*v**2 - 2*v**2 - 5*v**6 wrt v?
-720*v**3
Suppose -s - 2*c + 5*c + 2 = 0, 0 = 4*s - 3*c - 44. Let x = s - 12. Find the third derivative of -9*h**4 - 6*h**x + 12*h**4 + 2*h**4 wrt h.
120*h
Differentiate 25 - 11*h - 5 - 56 - 5*h**3 + 0*h**2 + 0*h**2 wrt h.
-15*h**2 - 11
Let c(g) = -g**2 - 9*g - 12. Let a be c(-7). Find the third derivative of 21*y**5 - 8*y**2 - 17*y**5 - 16*y**a wrt y.
240*y**2
Let w(h) = 547*h**5 - 25*h**2 - 5*h - 2. Let m(n) = -1094*n**5 + 48*n**2 + 11*n + 5. Let c(q) = -2*m(q) - 5*w(q). Find the third derivative of c(z) wrt z.
-32820*z**2
Let c(z) = 9*z**3 + 5*z**2 + 3. Let p(q) = -26*q**3 - 14*q**2 - 8. Suppose 17 = -3*v - 7. Let w(m) = v*c(m) - 3*p(m). Find the third derivative of w(b) wrt b.
36
Let n(f) be the third derivative of 61*f**4/8 - 70*f**3 + 368*f**2 + 2*f. Differentiate n(q) wrt q.
183
Let d be (0 - -47 - -3) + 4. Find the third derivative of -20*n**2 + 63*n**6 + 0*n**3 - d*n**6 + 0*n**3 wrt n.
1080*n**3
Let w(u) be the first derivative of 21/4*u**4 + 0*u + 0*u**3 - 9 + 7*u**2. Find the second derivative of w(g) wrt g.
126*g
What is the derivative of -11 - 40 + 25 - 44 + 45*c**3 wrt c?
135*c**2
Let j(r) = -r + 9. Let i be ((-4)/(-3) - 1)*12. Let g(a) = a - 5. Let c(z) = i*j(z) + 9*g(z). Differentiate c(k) with respect to k.
5
Let q(m) be the second derivative of 13*m**6/6 - 41*m**4/12 - 23*m. Find the third derivative of q(b) wrt b.
1560*b
Let m be 1/(-1*(-1)/19). Let x = -13 + m. What is the first derivative of -1 - 6*z**4 - 5*z**4 - 6 + x*z**4 wrt z?
-20*z**3
Let r be 1*((-2)/(-3 + 1) + 3). Find the third derivative of -38*o**r - 355*o**2 + 336*o**2 - o**3 + o**3 wrt o.
-912*o
Let c be (3 - (-9)/(-5))/(1/10). What is the third derivative of 32*d**6 - 69*d**6 + c*d**2 + 33*d**6 wrt d?
-480*d**3
Suppose -12 = -5*w - 2. Suppose -2*h = 4*t - 28, -w*h + 6*h = -4*t + 28. What is the first derivative of 2*v + t - 6*v + 0 wrt v?
-4
Let z(m) be the second derivative of -8/3*m**3 + 0 + 6*m - 2/5*m**5 + 0*m**2 + 0*m**4. Find the second derivative of z(i) wrt i.
-48*i
Suppose -10 = 5*b + 5*t, 4*t + 13 = -2*b - 1. Suppose g = b, -5*g + 3 = -3*y - 0. What is the second derivative of -33 + 33 + 0*r + 7*r**y - 2*r wrt r?
84*r**2
Suppose -z - k - 6 = -3, -z = -2*k - 12. Let b(v) be the third derivative of -5/24*v**4 + 0*v + 0 - 1/6*v**3 + 4*v**z. Differentiate b(d) with respect to d.
-5
Let o(p) be the second derivative of 61*p**7/21 - p**6/30 + 53*p**3/3 - p**2/2 - 2*p - 12. What is the second derivative of o(m) wrt m?
2440*m**3 - 12*m**2
Let z(t) = t**2 + 4*t - 10. Let g be z(-6). What is the second derivative of -27*k + 810*k**g + 18*k**4 - 810*k**2 wrt k?
216*k**2
Let f(o) be the second derivative of -o**9/1890 + 3*o**5/10 - o**4 + 36*o. Let i(g) be the third derivative of f(g). Differentiate i(b) wrt b.
-32*b**3
Suppose -29*z + 58 = -58. Let s(d) be the first derivative of 0*d**2 + 2/3*d**3 + z + 0*d + 7/4*d**4. What is the third derivative of s(y) wrt y?
42
Let t(j) be the second derivative of -52*j**6/15 + 10*j**2 - 60*j. Differentiate t(y) wrt y.
-416*y**3
Let q(a) = -147*a**3 - 10*a**2 + 444*a. Let t(c) = 585*c**3 + 42*c**2 - 1776*c. Let l(b) = 21*q(b) + 5*t(b). Find the second derivative of l(n) wrt n.
-972*n
Let y(l) = l**3 + l**2. Let p(c) = -74*c**4 - 4*c**3 - 4*c**2 + 10*c. Let g(d) = p(d) + 4*y(d). Find the second derivative of g(f) wrt f.
-888*f**2
Let c(a) be the third derivative of -17*a**6/60 - 12*a**5/5 + 359*a**2. Find the third derivative of c(i) wrt i.
-204
Let u(o) = -4*o - 37. Let a be u(-10). What is the second derivative of -33*l**a - 14*l - 5*l + 52*l wrt l?
-198*l
Find the third derivative of 80*r + 74*r - 12*r**2 - 6*r**3 - 158*r wrt r.
-36
What is the third derivative of 286*f**4 + 8*f**3 + 282*f**4 + 5*f**2 + 4*f - 570*f**4 wrt f?
-48*f + 48
Let h = -3 - -11. Let s be (18/8)/(2/h). Find the second derivative of 10*k**3 + s*k - 13*k**3 - k wrt k.
-18*k
Let t(f) = 123*f**4 + 5*f**3 - 95*f. Let j(z) = -62*z**4 - 2*z**3 + 47*z. Let d(s) = -5*j(s) - 2*t(s). Find the second derivative of d(x) wrt x.
768*x**2
Let y = -17 - -21. Suppose 8 = y*f - 0. Find the third derivative of 8*k**f + 0*k**2 + 3*k**5 - 5*k**5 wrt k.
-120*k**2
Let h(l) = -17*l**2 - 5*l. Let b(w) be the first derivative of -w**2/2 - w + 1. Let k(c) = -5*b(c) + h(c). Differentiate k(z) with respect to z.
-34*z
What is the second derivative of -17 + 30*q**3 + 38*q**3 - 2*q - 40*q**3 wrt q?
168*q
Let l(x) be the first derivative of 3/2*x**2 - 4 - 4/3*x**3 + 5*x. Let s(c) = -1. Let f(j) = -l(j) - 5*s(j). Find the second derivative of f(d) wrt d.
8
Let q(t) be the second derivative of 3*t**7/2 - t**5/20 - 23*t**4/12 - 2*t**3/3 + 42*t. Find the third derivative of q(d) wrt d.
3780*d**2 - 6
Let u(t) = 180*t**4 + 10*t**3 - 5*t**2 + 93. Let b(s) = -90*s**4 - 6*s**3 + 3*s**2 - 47. Let k(z) = 5*b(z) + 3*u(z). What is the derivative of k(g) wrt g?
360*g**3
Let l be 64/34 - (3 + (-106)/34). Let t(u) be the first derivative of 5/2*u**2 - 2*u - l. Differentiate t(z) wrt z.
5
Let j(x) = 2*x**3 + 22*x**2 + 2*x - 12. Let f(v) = v**4 - v**3 - v**2 - v + 1. Let l(t) = -2*f(t) - j(t). Differentiate l(d) with respect to d.
-8*d**3 - 40*d
What is the third derivative of -68*g**2 + 159*g**4 - 79*g**2 + 88*g**2 wrt g?
3816*g
Let b(w) be the second derivative of -69*w**5/20 - w**4/6 + w**3 + w - 30. Find the third derivative of b(a) wrt a.
-414
Let n(d) = -12*d + 11. Let p be (-2)/7 - (-33)/(-7). Let j(h) = -h. Let b(k) = p*j(k) + n(k). What is the derivative of b(i) wrt i?
-7
Let t(w) be the third derivative of w**7/6 - w**4/12 + 23*w**3/2 + 21*w**2. Differentiate t(a) with respect to a.
140*a**3 - 2
Let c(o) be the second derivative of 7/2*o**2 + 0 - 12*o + 11/6*o**3. Differentiate c(z) with respect to z.
11
What is the derivative of 18788*a**2 - 160*a**3 + 347 - 18788*a**2 wrt a?
-480*a**2
Let y = 39 - -15. What is the third derivative of 5*g**4 + 5*g**2 - y - 2*g**4 + 54 wrt g?
72*g
Suppose 3*v - p = -10, 3*p = v + 2*v + 6. Let s = 0 - v. Differentiate 4 - 7 + 2*h**s + 2 - 1 wrt h.
8*h**3
Let u(y) be the third derivative of -11*y**6/15 + 49*y**5/15 + 90*y**2. Find the third derivative of u(s) wrt s.
-528
Let v be (-26)/(-8) + 20/(-16). Suppose -3*p - 2*w + 21 = -10, 4*p + v*w - 38 = 0. What is the second derivative of -6*f**5 + 12*f + 11*f**5 - p*f**5 wrt f?
-40*f**3
What is the first derivative of 474*p**2 + 435*p**2 + 63 - 713*p**2 wrt p?
392*p
What is the first derivative of -4*t + 2*t + 294 - 91*t**3 + 84*t**3 wrt t?
-21*t**2 -