
Let q(k) = 11*k + 1. Let i(z) = -7*z - 1. Let a(w) = 8*i(w) + 5*q(w). Differentiate a(b) wrt b.
-1
Let g(o) = -o. Let h be g(-1). Suppose 2*x - 4*i + h = -7, i = 3. Find the first derivative of 4*k**2 + 4 + 2*k**x - 6*k**2 + 3*k**2 wrt k.
6*k
Let i be 6/12 + (-6)/(-4). What is the first derivative of 2 - i*u**3 + 0 + 1 wrt u?
-6*u**2
Let y(o) = -o**2 - 5*o + 6. Let c be y(-5). What is the third derivative of -c*s**3 - 5*s**2 + 12*s**3 - 6*s**3 + 2*s**4 wrt s?
48*s
Let v(k) = -k**2 + 2*k - 2. Let j be v(2). Let d be -2*(-4)/(4 + j). Differentiate 2 - 5*o**4 + 3*o**d + o**4 with respect to o.
-4*o**3
Let f(d) be the first derivative of 2*d**3/3 + 3*d**2/2 + 2. Let u be f(-2). What is the third derivative of 3*n**4 - 5*n + 2*n - n**u + 3*n wrt n?
72*n
Let r(h) be the third derivative of 5*h**8/112 - h**5/30 - 19*h**2. What is the third derivative of r(k) wrt k?
900*k**2
Suppose 6 + 6 = 3*k. Let i be (-4)/(-6) + 228/36. Differentiate 5*b**4 - 4*b**k + 4 - i + 0*b**4 wrt b.
4*b**3
Let l(y) be the third derivative of -y**5/15 + 5*y**3/6 + 2*y**2. Differentiate l(v) wrt v.
-8*v
Let f be (-124)/(-240) + (-1)/2. Let y(n) be the third derivative of f*n**6 + 1/6*n**3 + 0*n**5 + 0*n**4 + n**2 + 0*n + 0. What is the derivative of y(c) wrt c?
6*c**2
Suppose 5*q + 4*d + 22 = 0, -3*q - d = d + 12. Let s be 3/2 + 1/q. Find the first derivative of -3*y**2 + 3*y**2 - s + 4 + y**2 wrt y.
2*y
Suppose 13 = -3*k - 2. Let z(r) = 11*r**2 - 4*r + 2. Let w(x) = -22*x**2 + 9*x - 5. Let f(t) = k*z(t) - 2*w(t). Find the second derivative of f(i) wrt i.
-22
Let d = 10 + -2. Let q = d + -4. What is the second derivative of f**4 - f**q + f**4 - 2*f wrt f?
12*f**2
Let o(f) = 9*f + 1. Let q(u) be the third derivative of 19*u**4/24 + u**3/6 + 6*u**2. Let d(b) = -5*o(b) + 2*q(b). Differentiate d(a) wrt a.
-7
Differentiate -6 - 7*r**3 + 5 - 15*r**3 - 12 with respect to r.
-66*r**2
Suppose -5*w - 9 + 19 = 0. Find the third derivative of 2*p**3 + p**2 + 4*p**3 - 6*p**2 + 7*p**w wrt p.
36
Let o(a) be the first derivative of -a**7/42 - a**5/60 + 2*a**2 + 4. Let p(w) be the second derivative of o(w). What is the third derivative of p(d) wrt d?
-120*d
Let v(n) be the third derivative of n**9/63 + 7*n**5/20 - 6*n**2. Find the third derivative of v(j) wrt j.
960*j**3
Let g be (-2)/(-4)*(10 + 2). Find the third derivative of 2*m**2 + 0*m**6 - 2*m**g + 0*m**2 wrt m.
-240*m**3
Let g(d) = d**5 + d**2 - 6*d. Let n(b) = -b**2 - b. Let j(m) = -g(m) - n(m). Find the second derivative of j(o) wrt o.
-20*o**3
Let r(w) = -3*w**2 - 3*w + 2. Let j(y) = 0 - 3 - 5 + 15*y - 3 + 15*y**2. Let d(b) = -2*j(b) - 11*r(b). Find the second derivative of d(f) wrt f.
6
What is the third derivative of -73*r + 73*r + 3*r**2 - 17*r**4 wrt r?
-408*r
Let y(h) = 15*h + 2. Let s(x) = -6*x - 1 - 8*x + 6*x. Let m(f) = -11*s(f) - 6*y(f). What is the first derivative of m(g) wrt g?
-2
Let q be (-122)/(-12) - 2/12. What is the third derivative of -8*s**6 - q*s**6 - s**2 + 19*s**6 wrt s?
120*s**3
Suppose 4*k - 6 = -w, -k - 2*w = -6*w - 10. Suppose 2*c + 4 = 10. Find the third derivative of 0*n**2 + 0*n**3 + 3*n**c - 3*n**k wrt n.
18
Let y(k) = 2*k**2 - 8*k + 3. Let t(r) = -r + 1. Let w(j) = -3*t(j) + y(j). What is the second derivative of w(l) wrt l?
4
Let a = -3 + 5. Find the third derivative of -4*s**4 + 4*s**2 + 0*s**a - 6*s**2 + s**4 wrt s.
-72*s
Suppose -5*a - 10 = 0, 4*d + a - 8 = -a. Suppose -d*u - 4 = 5*i, -3*u = -i - i - 10. What is the derivative of 1 + u - 1 + 3*l**3 wrt l?
9*l**2
What is the derivative of 13 + 10 - 16 - 5*w**2 wrt w?
-10*w
What is the second derivative of -2*j + 7*j**5 - 5*j + 6*j + 11*j wrt j?
140*j**3
Let j(g) be the second derivative of -g**7/1260 - g**5/40 - g**4/6 + g. Let y(v) be the third derivative of j(v). Differentiate y(n) wrt n.
-4*n
Let n = 3 - 1. Suppose n*p - p - 2 = 0. Find the third derivative of -2*o**2 + o**4 - o**2 + 4*o**p wrt o.
24*o
Let r(b) = -16*b**5 - 4*b**4 - 4*b**3 + 4*b**2 + 18*b. Let i(h) = -h**4 - h**3 + h**2. Let x(k) = 12*i(k) - 3*r(k). Find the second derivative of x(s) wrt s.
960*s**3
Let f(m) = 2*m**4 + 5*m**2 + 7. Suppose -c - 18 = -4*c. Let l(g) = g**4 + 2*g**2 + 3. Let b(u) = c*f(u) - 14*l(u). Find the third derivative of b(i) wrt i.
-48*i
What is the third derivative of 8 + 2*u**2 + 9 - 8*u**3 + 7 + 5*u**5 - 7*u**5 wrt u?
-120*u**2 - 48
Suppose 5*p + 2 = -23, 4*p + 5 = 5*a. Let d = a + 4. What is the derivative of 2 + 8*m**3 - d - 11*m**3 wrt m?
-9*m**2
Let h(p) be the first derivative of 5*p**3/3 + 17*p + 15. Differentiate h(b) with respect to b.
10*b
Let m(f) be the first derivative of 13*f**4/4 + 4*f**3/3 - 10. Find the third derivative of m(u) wrt u.
78
Let z be (-2 - 10/(-4))*4. What is the derivative of -z*c - c + 6*c - 1 wrt c?
3
Let m(f) = -2 + f**3 + 2 - f. Let a = 6 - 1. Let s(h) = 8*h**3 + h**2 - 5*h. Let j(t) = a*m(t) - s(t). Find the third derivative of j(c) wrt c.
-18
Let x(v) be the second derivative of -1/3*v**3 + 5*v + 0*v**5 + 0*v**6 + 0 + 0*v**2 + 1/14*v**7 + 0*v**4. Find the second derivative of x(o) wrt o.
60*o**3
Find the second derivative of -10*s - 7*s + 20*s**2 - 74*s**2 + 3*s wrt s.
-108
Let j(x) = -27*x**2 - 13*x + 8. Let f(q) = -13*q**2 - 6*q + 4. Let y(a) = 13*f(a) - 6*j(a). Find the first derivative of y(o) wrt o.
-14*o
Let c(n) = 19*n**2 - 24*n - 4. Let x(q) = 20*q**2 - 24*q - 5. Let i(d) = 5*c(d) - 4*x(d). What is the second derivative of i(f) wrt f?
30
Let t(u) be the third derivative of -u**4/24 - 8*u**3/3 + 11*u**2. What is the first derivative of t(w) wrt w?
-1
Suppose -5*w + 10 = -0*w. Differentiate -2*v + w*v - v**3 + 1 + 0*v**3 with respect to v.
-3*v**2
Let l = 17 - -15. Let c(x) = -13*x**2 + x - x + 3. Let j(w) = -84*w**2 + 20. Let g(m) = l*c(m) - 5*j(m). What is the first derivative of g(y) wrt y?
8*y
Let y = -5 + 10. Suppose -9 = -3*u + 5*c - 25, -y*u - 10 = -5*c. Find the second derivative of -2*h + 1 - 3*h - 1 - u*h**2 wrt h.
-6
Let b(h) = 5*h - 7. Let d(y) = 9*y - 13. Let f(k) = -11*b(k) + 6*d(k). Let a be f(-3). Find the first derivative of 0*o - 2 - 4*o**a + 0*o + 7*o**2 wrt o.
6*o
Suppose 6 = 2*u - 2. Suppose -10 = -2*i + i - j, 2 = 3*i - u*j. Find the third derivative of 3*p**2 - 3*p**3 + 4*p**i + 0*p**6 + 3*p**3 wrt p.
480*p**3
Let s(d) be the second derivative of -d**6/60 - d**4/12 - d**2/2 + 3*d. Let a(r) be the first derivative of s(r). What is the second derivative of a(h) wrt h?
-12*h
Find the first derivative of -11*m + 5 + 16*m - 1 wrt m.
5
Let r(f) be the third derivative of -3*f**7/70 - 3*f**5/20 - 6*f**2. Find the third derivative of r(u) wrt u.
-216*u
Suppose 3*c + 0*c = 12. Suppose 4*z - 28 = c*v, 0*z + v + 12 = 2*z. What is the second derivative of p**5 + p + 0*p + p**z wrt p?
40*p**3
Let a(c) = 53*c**3 - 9*c**2 - 100. Let b(w) = -13*w**3 + 2*w**2 + 25. Let l(d) = 2*a(d) + 9*b(d). Find the first derivative of l(u) wrt u.
-33*u**2
Suppose 4*o - 1 - 11 = 0. Suppose -5*n + n = -o*b - 10, 0 = 5*n + b - 22. Find the first derivative of -1 + 5*w**4 + 0*w**4 + 3 - 4*w**n wrt w.
4*w**3
Suppose 0 = t - 6*t. Differentiate 5*x - 3*x + 4 + t*x with respect to x.
2
Let l(i) = i**3 - 8*i**2 + 8*i - 7. Let s be l(7). Find the second derivative of -v - 3*v**2 + v**2 + s*v wrt v.
-4
Let l(j) be the third derivative of 8*j**5/15 + 2*j**3/3 + 34*j**2. What is the derivative of l(u) wrt u?
64*u
What is the third derivative of 10*f**3 - 9*f**2 + 8*f**2 + 16*f**3 wrt f?
156
Find the second derivative of -5*f - 2*f**5 - 5*f + 3*f**5 wrt f.
20*f**3
Let z(j) be the second derivative of -j**8/840 - j**6/360 + j**3/2 - j. Let d(o) be the second derivative of z(o). Find the third derivative of d(q) wrt q.
-48*q
Let x be (-60)/(-14) + 14/(-49). Find the third derivative of -4 + x - v**5 + v**2 wrt v.
-60*v**2
Let z(y) be the first derivative of -y**8/280 - y**5/30 + 3*y**3 - 5. Let v(x) be the third derivative of z(x). Find the second derivative of v(q) wrt q.
-72*q**2
Let v(c) be the first derivative of 0*c**4 + 0*c**6 + 0*c**2 - 4/7*c**7 - 2 + 0*c + 0*c**5 + 2/3*c**3. Find the third derivative of v(l) wrt l.
-480*l**3
Let n(b) be the first derivative of -b**2/2 - 6*b - 2. Let s be n(-8). What is the third derivative of -l**2 + l**s + 2*l**3 + 3*l**2 wrt l?
12
Let b(c) be the third derivative of -1/24*c**4 + 0*c**5 + 