 8*u**4 - 8*u**4 - 3*u**4 + 0*u**4 wrt u.
-12*u**3
Find the second derivative of -9*r + 45*r**3 - 5*r**3 + 38*r + 14*r wrt r.
240*r
Let y be (-2)/(-3)*(-18)/(-4). Suppose 4*b = -i - 1, 2*i + y*b + 6 = 3*i. Find the first derivative of 4 + 2*c**3 + 0*c**i + 0 - 5 wrt c.
6*c**2
Let v(r) = -r**2 + 9*r + 3. Let z be v(9). Let g(m) = -5*m + 7. Let l(q) = -10*q + 13. Let d(s) = z*l(s) - 5*g(s). What is the derivative of d(t) wrt t?
-5
Let d(v) be the third derivative of -v**6/40 + v**5/10 + 10*v**2. Find the third derivative of d(t) wrt t.
-18
Let y(a) = 2*a + 11. Let q(g) = g**2 - g - 1. Let s(w) = 22*q(w) + 2*y(w). Find the second derivative of s(z) wrt z.
44
Let h(m) be the third derivative of -m**8/56 - m**4/8 + 3*m**2. Find the second derivative of h(d) wrt d.
-120*d**3
Let q(c) be the first derivative of c**8/240 + 7*c**4/24 - 3*c**3 - 5. Let y(a) be the third derivative of q(a). What is the derivative of y(p) wrt p?
28*p**3
Let s be (2/3)/(8/48). What is the third derivative of -a**5 - 2*a**5 - s*a**2 + 2*a**5 + 0*a**2 wrt a?
-60*a**2
Find the second derivative of -5*k - 8*k - 14*k**2 + k wrt k.
-28
Let u(d) be the first derivative of 3*d + 0*d**2 + 2/3*d**3 + 1. Find the first derivative of u(k) wrt k.
4*k
Let h be (-1 - -1)/(1 - 3). Suppose -4*x = -5 - 3. What is the second derivative of -y**2 + 2*y**x + h*y**2 + y wrt y?
2
Let g(p) be the second derivative of p**5/5 + 7*p**4/12 + 2*p. What is the third derivative of g(l) wrt l?
24
Let h(o) = -o - 5. Let p(n) = 3*n + 21. Suppose -4 = -7*d + 5*d. Let l(x) = d*p(x) + 9*h(x). What is the first derivative of l(j) wrt j?
-3
Let m(n) be the first derivative of -9*n**2 + 16*n - 21. Differentiate m(y) with respect to y.
-18
Suppose -d = -3*d - 6, 0 = -5*b + 3*d + 24. What is the third derivative of -2*m**5 - m**5 - 2*m**5 - b*m**2 + 7*m**5 wrt m?
120*m**2
Suppose 2 = 2*y - 68. Find the first derivative of 3*x - 3*x - 3*x**2 - y + 40 wrt x.
-6*x
Let y(f) be the first derivative of 2 + 0*f**4 + 0*f**2 + 4*f + 4/5*f**5 + 0*f**3. Differentiate y(x) with respect to x.
16*x**3
Let c be -1 + 4 + -3 - -2. What is the second derivative of 7*k - k**5 - 12*k - c*k**5 wrt k?
-60*k**3
Let b(v) be the second derivative of v**5/5 + 3*v**4/2 - 28*v. What is the third derivative of b(r) wrt r?
24
Let k(b) = -b**3 + 3*b**2 + 6*b - 3. Let n be k(4). What is the third derivative of i**5 + 2*i**5 - i**5 - 5*i**n - 4*i**2 wrt i?
-180*i**2
Let c(g) = -4*g**2 + 11*g - 37. Let d(h) = -2*h**2 + 6*h - 19. Let q(a) = 6*c(a) - 11*d(a). What is the first derivative of q(r) wrt r?
-4*r
Let q(d) be the third derivative of -7*d**6/24 + 8*d**3/3 - 33*d**2. What is the first derivative of q(w) wrt w?
-105*w**2
Let u be (10/35)/(2/14). Let b(s) be the second derivative of -u*s + 1/20*s**5 + 0*s**2 + 0*s**3 - 1/6*s**4 + 0. Find the third derivative of b(w) wrt w.
6
Let j be (-12)/30*9/(-24). Let y(a) be the second derivative of 0*a**4 - 1/3*a**3 + j*a**5 + 0*a**2 + 4*a + 0. What is the second derivative of y(i) wrt i?
18*i
Suppose -2*x - 40 = 3*x. Let c be x/(5/(15/(-6))). Differentiate 2*n - n - 2 - c*n + 3 with respect to n.
-3
Let r(v) = -v - 1. Let w(l) = -17*l - 29. Let m(o) = -11*o - 19. Let i(t) = 7*m(t) - 5*w(t). Let q(g) = i(g) + 6*r(g). What is the derivative of q(n) wrt n?
2
Let r(y) be the second derivative of 7*y**5/10 + y**4 + 12*y. What is the third derivative of r(z) wrt z?
84
Let o(b) = -b + 5. Let w be o(3). Let j be 2/2 + (2 - 2). Differentiate w*x - x - 2*x + j with respect to x.
-1
Let q be 1*-2*2/(-4). Let s be (2/6)/(q/15). Find the third derivative of p**5 - p**2 + 2*p**5 - 4*p**s wrt p.
-60*p**2
Let g(b) be the third derivative of -b**8/840 + b**6/360 + b**3/2 + b**2. Let p(w) be the first derivative of g(w). Find the third derivative of p(r) wrt r.
-48*r
Suppose -4*g + 16 + 0 = 0. Let c(q) be the first derivative of 1/4*q**g + q**3 - 3 + 0*q + 0*q**2. What is the third derivative of c(l) wrt l?
6
Let z(q) = -11 + 8*q**2 + 2 + 2*q**4 - 8. Let y(r) = -r**4 - 3*r**2 + 6 + 55*r**3 - 55*r**3. Let w(b) = 8*y(b) + 3*z(b). What is the derivative of w(v) wrt v?
-8*v**3
Let f(t) = 7*t**2 + 2*t + 107. Let w(k) = -4*k**2 - k - 53. Let d(o) = 2*f(o) + 5*w(o). Differentiate d(m) wrt m.
-12*m - 1
Let j be (-4)/3*1*3. Let o = j + 8. What is the second derivative of 14*h - 10*h + h**2 - 3*h**o - h**2 wrt h?
-36*h**2
What is the second derivative of 477*x**2 + 19*x - 4*x - 450*x**2 wrt x?
54
Find the second derivative of -27*y**4 + 20*y**2 - 20*y**2 + 62*y wrt y.
-324*y**2
Let u(c) be the first derivative of -c**7/70 + c**5/60 + 3*c**2/2 + 1. Let v(q) be the second derivative of u(q). Find the third derivative of v(k) wrt k.
-72*k
Differentiate 6 - 6 - 1 - 15 + 63*i wrt i.
63
Let q(k) be the third derivative of k**6/40 - 5*k**3/3 + 10*k**2. Find the first derivative of q(g) wrt g.
9*g**2
Let t(q) = -44*q - 17. Let z(g) = -218*g - 84. Let n(y) = -14*t(y) + 3*z(y). What is the derivative of n(a) wrt a?
-38
Let t(v) = -v**4 - v**3. Let y(m) = -4*m**4 - 7*m**3 - 5*m. Let z(c) = -14*t(c) + 2*y(c). What is the second derivative of z(s) wrt s?
72*s**2
Let i(w) be the first derivative of 5*w**2/2 + 2*w + 2. Find the first derivative of i(v) wrt v.
5
Let g(l) = 2*l + 4. Let b be g(8). Suppose 0 = 5*n - 10*n + b. Differentiate -2 - n*x - 6 + 2 + 3 with respect to x.
-4
Let h(f) be the third derivative of 0*f**6 + 0*f**3 - 1/60*f**5 + 0*f + 0*f**4 + f**2 + 0 - 1/210*f**7. Find the third derivative of h(o) wrt o.
-24*o
Let j(h) be the second derivative of 9*h**5/20 - 3*h**2 + 17*h. Differentiate j(f) with respect to f.
27*f**2
What is the first derivative of 2 + 3*d - 11 + 3*d**2 - 4 + 0 wrt d?
6*d + 3
Let b(q) be the third derivative of 0*q**3 + 2*q**2 + 0 + 1/30*q**5 + 0*q - 1/24*q**4. Find the second derivative of b(l) wrt l.
4
Let t(u) be the third derivative of 0*u**4 + 2*u**2 - 1/42*u**7 + 1/3*u**3 + 0*u + 0*u**5 + 0 + 0*u**6. What is the derivative of t(d) wrt d?
-20*d**3
Let k = -42 - -42. Let h(t) be the first derivative of 1/4*t**4 - 2*t + k*t**3 + 0*t**2 - 3. What is the derivative of h(j) wrt j?
3*j**2
Find the first derivative of 23*o**2 - 19 + 4 - 7*o**2 wrt o.
32*o
Let k(u) be the second derivative of -u**8/1344 - 7*u**6/720 + u**4/6 - 6*u. Let x(s) be the third derivative of k(s). Find the second derivative of x(o) wrt o.
-30*o
Let c(l) = 8*l**3 + 6*l**2 + 16*l - 6. Let f(y) = -7*y**3 - 5*y**2 - 15*y + 5. Let g(a) = 5*c(a) + 6*f(a). Find the second derivative of g(b) wrt b.
-12*b
Let o(t) be the first derivative of -t**6/30 + 5*t**3/6 + t**2/2 - 1. Let d(w) be the second derivative of o(w). Find the first derivative of d(v) wrt v.
-12*v**2
Let w(m) = m**2 - m. Let s(f) = -12*f**2 - 8*f. Let a(c) = s(c) - 2*w(c). Find the second derivative of a(h) wrt h.
-28
Let f(r) be the second derivative of -r**9/5040 - r**5/24 - r**4/12 - 3*r. Let c(h) be the third derivative of f(h). Differentiate c(b) wrt b.
-12*b**3
Suppose 2*g = 4*r - 24, -g - r + 8 = -2*g. Let v = 7 + g. Find the third derivative of -2*f**v + f**3 + 2*f**2 - 3*f**2 + 4*f**2 wrt f.
-6
Let j = -10 + 12. Find the second derivative of j*b**2 + b - 2*b**2 - b**4 wrt b.
-12*b**2
Let f(q) be the third derivative of q**9/21 + q**5/4 - 3*q**2. What is the third derivative of f(k) wrt k?
2880*k**3
Let b(n) be the second derivative of -9*n + 0*n**2 + 0*n**4 + 0 + 2/15*n**6 + 3/2*n**3 + 0*n**5. Find the second derivative of b(d) wrt d.
48*d**2
Suppose -h - 4*c = 9 + 12, 102 = -3*h + c. Let g(f) = 24*f - 24. Let t(b) = -3*b + 3. Let o(l) = h*t(l) - 4*g(l). What is the first derivative of o(z) wrt z?
3
Let c(y) = 5*y + 1. Let i be c(1). Suppose 5*t + 2*v = 0, -30 = -5*t + i*v - 2*v. Differentiate 2 + q**t + 0 + 0 wrt q.
2*q
Suppose 6*d - 4 = 5*d. Suppose d*b = b + 3. Differentiate 3 - b + 3*i**2 + 2 wrt i.
6*i
Let z(h) = 30*h**3 + h - 23*h**3 + 4*h**2 - 5*h. Let u(q) = q**3 + q**2 - q + 1. Let l(r) = -4*u(r) + z(r). Find the first derivative of l(g) wrt g.
9*g**2
Suppose 0 = a + 3*a + 12. Let z be (-4)/((-4)/(-6)*a). Differentiate 2 + z*b**3 + 0 - b**3 with respect to b.
3*b**2
Let q(y) be the third derivative of 11*y**6/120 - y**4/8 - 3*y**2. Find the second derivative of q(l) wrt l.
66*l
Let f(t) be the second derivative of -7*t**3/6 - t**2 + 7*t. Differentiate f(n) with