6
Let o(f) = -f**2 + 1 + f + f**3 + 3*f**2 + f. Let y(x) = x**3 + 5*x**2 + 5*x + 2. Let s(t) = -5*o(t) + 2*y(t). Differentiate s(a) wrt a.
-9*a**2
Find the third derivative of -10*z + 7*z + 7*z**3 + 3*z - 8*z**2 wrt z.
42
Let r(n) be the second derivative of n**7/210 + n**4/24 + 2*n**3/3 + 2*n. Let b(z) be the second derivative of r(z). Find the first derivative of b(o) wrt o.
12*o**2
Let s(j) = j + 1. Let d(l) = 9*l - 12. Let n(x) = d(x) + 2*s(x). What is the derivative of n(q) wrt q?
11
Let x(w) = w**3 - 3*w + 1. Let r be x(2). Find the third derivative of 2*u**2 - r*u**6 - 40*u + 40*u wrt u.
-360*u**3
Let d(b) be the third derivative of b**10/2520 + b**6/360 + b**3/3 - b**2. Let y(s) be the first derivative of d(s). Find the third derivative of y(f) wrt f.
240*f**3
Let x = -7 - -5. Let t be (x/4)/((-2)/4). What is the derivative of -3 + 1 + t + 2*n**2 wrt n?
4*n
Suppose -4*b = -b - 9. What is the second derivative of -b*r - 36 + 36 - r**3 wrt r?
-6*r
Let h(l) = -15*l**3 + 2*l**2 - 47*l. Let w(u) = -16*u**3 + u**2 - 46*u. Let p(g) = 2*h(g) - 3*w(g). What is the second derivative of p(r) wrt r?
108*r + 2
Let h(o) be the first derivative of -9*o**4/2 + 5*o - 1. What is the first derivative of h(i) wrt i?
-54*i**2
Let q(s) be the second derivative of -s**4/6 - s**2/2 - 3*s. What is the derivative of q(v) wrt v?
-4*v
Let t(p) = 3*p**2 + 3*p + 6. Let i(w) = 6*w**2 + 5*w + 11. Let y(o) = -6*i(o) + 11*t(o). What is the second derivative of y(k) wrt k?
-6
Let y(p) = -1 + 3 + 3*p**2 + 1 + 3. Let f(h) = -2*h**2 - 5. Let j(o) = 5*f(o) + 4*y(o). Differentiate j(a) wrt a.
4*a
Let c(d) = 69*d - 40. Let m(q) = 23*q - 13. Let b(f) = -2*c(f) + 7*m(f). Differentiate b(o) wrt o.
23
Let v(y) = -18*y**2 - 5*y - 9. Let t(i) = 9*i**2 + 2*i + 4. Let w(d) = 9*t(d) + 4*v(d). What is the second derivative of w(a) wrt a?
18
Let r(c) = c**2 + 8*c - 7. Let n be r(-9). Let p be (0 + 1)*n + 2. Find the second derivative of 0*m**5 + 5*m**5 - 2*m - p*m**5 wrt m.
20*m**3
Let m = 16 + -14. Find the third derivative of -10*i**2 + m*i**2 + 5*i**2 + i**4 wrt i.
24*i
Let u(i) be the third derivative of 0*i**3 + i**2 + 1/24*i**6 + 0 + 0*i + 0*i**4 - 1/15*i**5. Find the third derivative of u(z) wrt z.
30
Let a(l) be the first derivative of l**7/210 + l**5/20 - 3*l**2/2 + 3. Let f(h) be the second derivative of a(h). What is the third derivative of f(w) wrt w?
24*w
Let s(r) be the first derivative of 0*r**2 + 2/3*r**3 + 3 + 2*r. Differentiate s(w) wrt w.
4*w
Let m(a) be the second derivative of -a**8/2240 - a**6/720 - a**4/6 - a. Let v(l) be the third derivative of m(l). What is the second derivative of v(o) wrt o?
-18*o
Let q(z) = 3*z**2 - 1. Let o be q(1). What is the second derivative of -9*b + 16*b - 6*b - 2*b**o wrt b?
-4
Let t(q) be the first derivative of -7*q**4/2 + 20*q**3/3 - 23. Find the third derivative of t(l) wrt l.
-84
Let z(w) = w**3 - w**2 + w - 1. Let x be z(1). Let d = 4 - x. Find the first derivative of 4*m - d*m + 0*m - m + 1 wrt m.
-1
What is the third derivative of -9*g**5 - g**2 + 8*g**2 - 2*g**2 wrt g?
-540*g**2
Let l(x) = -x**4 + 8*x**3 + 10*x**2 - 8. Let n(t) = -3*t**3 - 3*t**2 + 3. Let y(z) = 3*l(z) + 8*n(z). What is the third derivative of y(i) wrt i?
-72*i
Differentiate -10*q + 26 - 4*q - 27 with respect to q.
-14
Let l(s) be the second derivative of -s**8/1680 + s**7/840 + s**4/6 + 2*s. Let u(q) be the third derivative of l(q). What is the third derivative of u(k) wrt k?
-24
Let g(i) = -i - 1. Let w(f) = -f + 10. Let y(h) = 4*g(h) + w(h). Find the first derivative of y(q) wrt q.
-5
Differentiate -2*d + 6*d - 13*d**3 + 23 - 4*d with respect to d.
-39*d**2
Let m(w) be the first derivative of -2*w**3/3 - 2*w**2 + 5*w + 4. Let h(s) be the first derivative of m(s). Find the first derivative of h(i) wrt i.
-4
Suppose -5*w + 9*w - 20 = 0. What is the first derivative of w + 8*k**4 + 4 - 3 wrt k?
32*k**3
Let p(o) = -o**2 + o**3 + 0*o**2 - o - 2*o**3 + 1. Let x(v) = 9*v**3 + 4*v**2 + 5*v - 4. Let b(d) = 4*p(d) + x(d). Find the second derivative of b(g) wrt g.
30*g
Let o be 0 - 4*7/(-2). Let k be (-36)/(-21) - (-4)/o. Find the first derivative of -2 + 5*r**2 + r**4 - 5*r**k wrt r.
4*r**3
Let o = -40 + 42. Let d(f) be the second derivative of 4*f + 1/3*f**3 - 3/2*f**o + 0. What is the derivative of d(i) wrt i?
2
Suppose -j + 7 = 5*o - 7, -8 = -2*o + 2*j. Suppose o*x + 4*z + 5 = 0, -x = -3*z - 32 + 12. Differentiate 2 + 3*p**4 + 3*p**4 - x*p**4 with respect to p.
4*p**3
Let o(q) be the second derivative of 13*q**5/10 - q**4/12 - 4*q. Find the third derivative of o(y) wrt y.
156
Let u(f) be the first derivative of -f**7/105 + f**5/15 - 3*f**2/2 + 1. Let j(z) be the second derivative of u(z). What is the third derivative of j(t) wrt t?
-48*t
Let s(r) = -18*r**4 - 6*r**3 - 6*r**2 - 6*r - 22. Let z(c) = c**4 + c**3 + c**2 + c + 1. Let f(h) = s(h) + 6*z(h). Differentiate f(j) with respect to j.
-48*j**3
Find the first derivative of -79 + 37*c**4 + 29 + 6*c**4 wrt c.
172*c**3
Suppose 0*v + 1 = 4*z + 3*v, -5 = 5*v. Let l = 1 + z. Differentiate l*x**2 - 4*x**2 - 1 + 3 with respect to x.
-4*x
Find the second derivative of 41*r**2 + 35*r - 36*r - 10*r**2 wrt r.
62
Let s(o) be the second derivative of -3*o + 0*o**4 - 2/15*o**6 + 0*o**3 + 0 + 0*o**5 + o**2. What is the derivative of s(n) wrt n?
-16*n**3
Suppose -3*i = -6*i + 6. Find the third derivative of -6*o**i + 2*o**5 + 4*o**2 + 7*o**2 wrt o.
120*o**2
Let c(v) be the second derivative of 0*v**2 - 1/5*v**5 - 1/6*v**4 + 0*v**3 + 0 + 4*v. What is the third derivative of c(q) wrt q?
-24
Let h be (-12)/8 + 2/(-4). Let n be 1 - ((-3 - h) + 0). Find the third derivative of -6*k**6 - 2*k**2 + n*k**6 + 5*k**6 wrt k.
120*k**3
Let b be -6*(-2)/(-4) - -7. What is the third derivative of 8 - 8 - i**2 - b*i**5 wrt i?
-240*i**2
Let u(f) be the third derivative of f**8/1344 + f**6/360 + f**4/8 - 5*f**2. Let s(k) be the second derivative of u(k). Find the second derivative of s(n) wrt n.
30*n
Let d(z) be the first derivative of -4/3*z**3 + 0*z - 5/2*z**2 + 2. Find the second derivative of d(b) wrt b.
-8
Let c = -19 - -5. Let l be (-24)/(-14) - 4/c. What is the second derivative of l*r + 0*r + r + r**4 wrt r?
12*r**2
Find the third derivative of 35*u**4 - 12*u**2 - 35*u**4 + 13*u**2 - 5*u**6 wrt u.
-600*u**3
Let k(h) = 44*h**3 - 2*h**2 + 2*h - 44. Let z(m) = -441*m**3 + 21*m**2 - 21*m + 441. Let q(f) = -21*k(f) - 2*z(f). What is the derivative of q(b) wrt b?
-126*b**2
Let o = 62 + -62. Let g(u) be the second derivative of 0*u**4 - 1/30*u**6 + o*u**3 + u**2 + 0 + 0*u**5 + u. Find the first derivative of g(v) wrt v.
-4*v**3
Let d(k) be the second derivative of 17*k**6/30 + k**4 - 15*k. Find the third derivative of d(q) wrt q.
408*q
Let w(q) be the first derivative of -2*q**5/5 - 13*q**2/2 - 69*q - 55. What is the first derivative of w(r) wrt r?
-8*r**3 - 13
Let q(i) be the first derivative of -26*i**3/3 + 14*i - 9. What is the first derivative of q(t) wrt t?
-52*t
Let y(c) = -c**3 - 11*c**2 + 13*c + 16. Let m be y(-12). What is the third derivative of 3*o**2 - 2*o**2 - m*o**4 - o**4 wrt o?
-120*o
Suppose 5*c - 3 = -3*g - 0, 0 = -g - 4*c - 6. Let b be 27/6 + (-3)/g. What is the derivative of -5 - b*f**2 + 2 - 2 wrt f?
-8*f
Find the first derivative of -9 + 11 + 22*l**4 + 5 wrt l.
88*l**3
Let k(y) = -y + 1. Let u be k(-1). Let j(b) be the second derivative of b**u + 1/6*b**4 + 0*b**3 + 0 - b. Differentiate j(v) with respect to v.
4*v
Suppose -3*r - 35 = -8*r. Differentiate r + 4*q**4 - 24 + 9 - 11*q**4 wrt q.
-28*q**3
Let x(m) = -2*m**4 - 4*m**3 + 4*m**2 - 5*m. Let t(n) = -n**4 + n**3 - n**2. Let b(q) = 4*t(q) + x(q). What is the second derivative of b(v) wrt v?
-72*v**2
Let i be (12/(-30))/((-1)/5). Suppose 0 = u - 6 + 3. What is the third derivative of 4*o**2 - u + 3 - o**3 - 5*o**i wrt o?
-6
Let b(r) be the first derivative of 0*r**6 - 4 + 0*r**4 + 0*r**2 + 0*r + 2/7*r**7 + 0*r**5 + r**3. Find the third derivative of b(g) wrt g.
240*g**3
Let k(c) be the second derivative of 13*c**3/6 - 9*c**2 - 25*c. What is the first derivative of k(m) wrt m?
13
Let n(f) = -f**2. Let t(a) = -37*a**2 - 38. Let v(k) = n(k) - t(k). What is the derivative of v(p) wrt p?
72*p
Suppose j - 23 = -4*g, -j + 3*g - 18 = -2*j. What is the first derivative of -3*f