te i(f) wrt f.
5
Let w(q) be the third derivative of 0*q**5 - q**2 - 1/24*q**4 - 1/60*q**6 + 0*q + 0*q**3 + 0. Find the second derivative of w(s) wrt s.
-12*s
Let w(z) be the third derivative of z**9/252 - z**8/336 - 7*z**5/60 + z**3/6 + 60*z**2. What is the third derivative of w(s) wrt s?
240*s**3 - 60*s**2
Find the second derivative of 5*y**3 - y + 5*y + 0*y wrt y.
30*y
Let q(v) = v**3 - 6*v**2 + 5*v + 6. Let f be ((-20)/(-6))/((-2)/(-3)). Let o be q(f). What is the third derivative of 0*s**6 - 2*s**2 + s**o + s**2 wrt s?
120*s**3
Let o be -2 + (-3 - (-18)/2). What is the first derivative of 5*r + 0*r - 3*r + o*r - 9 wrt r?
6
Differentiate -25*c**2 - 21 - 6*c + 36 + 24*c**2 wrt c.
-2*c - 6
Suppose 3*l - 9 = -0. Let v be (-1)/3 - (-7)/l. Find the third derivative of -w**4 - 2*w**v - 4*w**4 + 2*w**4 + w**2 wrt w.
-72*w
Let c = -10 - -14. What is the first derivative of 11*d + 5*d**4 - 11*d + c wrt d?
20*d**3
Let b(v) = -v**3 - 7*v**2 - v - 7. Let r(u) = u**2 + 1. Let d(i) = -3*b(i) - 21*r(i). Find the second derivative of d(c) wrt c.
18*c
Let w be ((-1)/(-3))/((-1)/(-6)). Suppose 4*x + w*l - 8 = 0, 4*l = -2*x - l - 4. Find the first derivative of x - 5 + 5*b**4 - 3*b**4 wrt b.
8*b**3
Let g(a) = -7*a**2 + 9. Let p(t) = -13*t**2 + 17. Suppose -m = -5*m - 44. Let w(c) = m*g(c) + 6*p(c). Find the first derivative of w(j) wrt j.
-2*j
Let b(t) = 6*t - 1. Let x = -1 + 6. Let i(y) = -x*y - 6 + 3 + 4 - 6*y. Let l(w) = -7*b(w) - 4*i(w). Differentiate l(m) with respect to m.
2
Suppose w - 8 = 2*r, 0 = -3*w - 0*w + 5*r + 21. What is the third derivative of f**2 - 26*f - w*f**3 + 26*f wrt f?
-12
Let i(o) be the third derivative of -o**7/14 - o**5/30 + 43*o**2. Find the third derivative of i(z) wrt z.
-360*z
Let t(s) be the second derivative of 5*s**7/42 + 3*s**3/2 + s. What is the second derivative of t(f) wrt f?
100*f**3
Let x(h) be the first derivative of -h**5/20 + 7*h**4/24 + h**3/3 - 8. Let d(i) be the third derivative of x(i). What is the first derivative of d(p) wrt p?
-6
Suppose -3*a + 5*h = -40, 2*a + 15 = -2*h - 3*h. Find the third derivative of 2*p**5 + p**6 + p**5 - 6*p**2 - 3*p**a wrt p.
120*p**3
Let b(q) = -5*q**3 - q**2 - q. Let l be b(-1). What is the third derivative of -4*s**2 + 0*s**2 - s**6 + 3*s**5 - 3*s**l wrt s?
-120*s**3
Let a(x) be the second derivative of -x**7/168 - x**5/40 - 2*x**3/3 - x. Let y(f) be the second derivative of a(f). Find the second derivative of y(s) wrt s.
-30*s
Let p(q) be the third derivative of q**6/4 - 7*q**5/10 - 41*q**2. Find the third derivative of p(g) wrt g.
180
Suppose s - 5*i = -4*s - 10, -4 = -3*s + i. What is the second derivative of 5*t**4 - 116 + s*t + 116 wrt t?
60*t**2
Differentiate 8*r + 9 - 2*r + 3*r - r wrt r.
8
Let z(b) = -b**2 - 5*b - 2. Let d be z(-3). Find the first derivative of 3*v**4 - 11*v**d - 2*v**2 + 2*v**2 + 6 wrt v.
-32*v**3
Let j(y) be the first derivative of -5/2*y**2 - 5/6*y**6 + 0*y**3 + 0*y + 0*y**4 + 4 + 0*y**5. What is the second derivative of j(i) wrt i?
-100*i**3
Let l(t) be the third derivative of t**5/20 - 11*t**4/12 - 33*t**2. Find the second derivative of l(f) wrt f.
6
Let i(m) = m - 3. Let x be i(6). What is the first derivative of -2*b**4 + 5*b**4 + x - 1 wrt b?
12*b**3
Let w(j) be the second derivative of j**5/40 - j**4/8 + j**3/2 - 3*j. Let i(t) be the second derivative of w(t). Find the first derivative of i(y) wrt y.
3
Let b(f) be the second derivative of 0 - 6*f - 1/3*f**3 - 1/12*f**4 + 0*f**2. Find the second derivative of b(l) wrt l.
-2
Let g(t) = t**2 + 4*t + 3. Let m be g(-4). Differentiate 5 - 7*u**m - 2 + u**3 with respect to u.
-18*u**2
Let h(b) be the third derivative of 0*b + 0*b**4 - 2/3*b**3 + 2*b**2 + 1/15*b**5 + 0. Differentiate h(u) wrt u.
8*u
Let d be 66/15 + -2 + -2. Let f(a) be the first derivative of 0*a**3 - 3 + 0*a**4 + a + 0*a**2 + d*a**5. Differentiate f(c) wrt c.
8*c**3
Let o(b) = -39*b + 22. Let l(f) = -116*f + 66. Let q(c) = -4*l(c) + 11*o(c). Differentiate q(t) with respect to t.
35
Let b(a) be the second derivative of -7*a**4/6 + 23*a**3/6 + 4*a. What is the second derivative of b(t) wrt t?
-28
Let z(f) be the first derivative of 8*f**5/5 - f**4/2 - 41*f**3/3 + 44. Find the third derivative of z(d) wrt d.
192*d - 12
Let v(p) = 22*p**4 + 45*p**2 + 5*p - 5. Let b(g) = 33*g**4 + 67*g**2 + 7*g - 7. Let z(t) = -5*b(t) + 7*v(t). Find the third derivative of z(f) wrt f.
-264*f
Let u(m) = -9*m + 12. Let z(b) = -10*b + 11. Let x(n) = 2*u(n) - 3*z(n). Find the first derivative of x(s) wrt s.
12
Let g(j) = -j**2 - 7*j + 3. Let f be g(-7). Suppose -f*b + b + 8 = 0. Find the second derivative of -2*w**b - 2*w + 4 - 4 wrt w.
-24*w**2
Let q(b) = b**3 + b**2 - b. Let n(s) = 24*s**4 - 2*s**3 - 2*s**2 + 2*s + 17. Let f(y) = n(y) + 2*q(y). Differentiate f(c) wrt c.
96*c**3
Suppose -2*b + 3*x = 6*x - 2, 4*b + x - 14 = 0. What is the second derivative of 0*z + 3*z - 106*z**4 + 117*z**b wrt z?
132*z**2
Let o(i) be the third derivative of i**9/5040 + i**5/40 - i**4/12 - 2*i**2. Let d(s) be the second derivative of o(s). Differentiate d(l) wrt l.
12*l**3
Let c(i) be the second derivative of -11*i**8/56 + i**4/12 - 5*i**2/2 + 2*i - 19. Find the third derivative of c(d) wrt d.
-1320*d**3
Suppose 3*o - o + 3*d = -3, -d - 18 = -5*o. Find the second derivative of -8*k + 8*k + 5*k**3 + o*k + k wrt k.
30*k
What is the third derivative of 7*u**3 - 7*u**3 + 29*u**3 + u**4 + 46*u**2 wrt u?
24*u + 174
Suppose -3*r = r - 20. What is the second derivative of -4*v**5 + 4*v**r - 2*v - 3*v**5 - 2*v wrt v?
-60*v**3
What is the derivative of -5*x**4 + 451*x**3 + 5 - 451*x**3 wrt x?
-20*x**3
Suppose 2*b - 7 - 5 = 0. Find the second derivative of r**3 + 4*r**3 + 7*r - b*r wrt r.
30*r
Suppose 3*c - 4*x = 11, 2*c + 1 = x - 0. Let a be c/1 + (-6 - -13). What is the third derivative of -2*m**2 - m**6 + 4*m**4 - a*m**4 + 0*m**4 wrt m?
-120*m**3
Let z(s) = s**2 - 3*s. Suppose 0 = -3*o - 6, -2*c + 6 = -3*c - 5*o. Let b be z(c). What is the third derivative of g**4 - g**b - g**5 + 2*g**2 wrt g?
-60*g**2
What is the second derivative of -6*q - 8*q**2 - 186 - 2*q + 186 wrt q?
-16
What is the third derivative of h**2 - 4*h**4 + 7*h**4 - 7*h**2 + 3*h**4 wrt h?
144*h
Let l(j) be the first derivative of -1 + 0*j**4 - 6/5*j**5 - 2/3*j**3 + 0*j + 0*j**2. What is the third derivative of l(s) wrt s?
-144*s
Let h = -2 + 6. Suppose 3*a + 10 - 33 = -x, -h*a + 3*x = -9. What is the third derivative of 5 - 3*m**a + m**2 - 5 wrt m?
-360*m**3
Let g(o) = -27*o**5 - 3*o**4 - 43*o**2. Let c(t) = 54*t**5 + 5*t**4 + 86*t**2. Let n(s) = -3*c(s) - 5*g(s). What is the third derivative of n(h) wrt h?
-1620*h**2
Let b(v) = 15*v**4 - 22*v. Let h(j) = 16*j**4 - 22*j. Let a(u) = 4*b(u) - 3*h(u). Find the second derivative of a(l) wrt l.
144*l**2
Let f(s) = 2*s**3 + 2*s**2 - 3*s + 9. Let a(t) = 22*t**3 + 22*t**2 - 34*t + 98. Let w(p) = -6*a(p) + 68*f(p). What is the derivative of w(c) wrt c?
12*c**2 + 8*c
Let f(z) be the first derivative of 5*z**3/3 + 5*z**2/2 - 6*z + 35. What is the derivative of f(u) wrt u?
10*u + 5
Let n(j) be the third derivative of -14*j**5/15 - j**4/24 + 11*j**3/3 - 58*j**2. Find the second derivative of n(o) wrt o.
-112
Let i be 16 + -2 + 4 + -2. Suppose 2*h = 6*h - i. What is the first derivative of 0*f**4 - 2*f**4 + 4*f**h + 1 wrt f?
8*f**3
Differentiate -19*r**2 + 20*r**3 + 10 + 19*r**2 - 5*r**3 with respect to r.
45*r**2
Differentiate -6 + 98*t - t**2 - 98*t wrt t.
-2*t
Let a(w) be the second derivative of 1/30*w**5 + 0*w**4 + 0 - w**2 - 1/6*w**3 - 4*w. Let b(x) be the first derivative of a(x). Differentiate b(l) wrt l.
4*l
Suppose -5*r = -5*p + 35, 17 = -p - 4*r - r. What is the third derivative of 5*i**2 - 3*i**4 + 3*i - 7*i**2 - p*i wrt i?
-72*i
Let a(s) = 18*s**4 + 2*s**3 + 18*s - 2. Let j(y) = 558*y**4 + 63*y**3 + 558*y - 63. Let g(l) = 63*a(l) - 2*j(l). Find the second derivative of g(c) wrt c.
216*c**2
Let k = -2 + 5. What is the derivative of 4*d - 3*d - k - 3*d wrt d?
-2
Let i(w) = -9*w**4 - 4*w**3 + 15*w**2. Let c(p) = -8*p**4 - 3*p**3 + 16*p**2. Let q(y) = -4*c(y) + 3*i(y). What is the third derivative of q(g) wrt g?
120*g
Let y(t) be the first derivative of -7*t**4/4 + t**3 + 4. Find the third derivative of y(m) wrt m.
-42
Let r(o) = 2*o**2 + o + 1. Let x be r(-1). Find t