t g(w) = -w**2. Let u(f) = 5*g(f) - s(f). What is the first derivative of u(d) wrt d?
-78*d
Let s be -3 + 1 + 2 + 3. Find the second derivative of 5*p + 6*p**3 - 7*p**s - 4*p + p wrt p.
-6*p
Let r(o) be the first derivative of o**2/2 - 41*o + 34. Find the first derivative of r(q) wrt q.
1
Suppose -5*q - 10 = s, -3*s + 4 = -q - 14. Differentiate -s*v**2 + 2*v**2 + 3 - 2 with respect to v.
-6*v
Let s = -91 - -91. Let r(v) be the third derivative of 2*v**2 + 1/12*v**4 + 0*v + 1/2*v**3 + s. Differentiate r(j) wrt j.
2
Suppose -4*y + 4*m + 20 = 0, 5*y - 3*m - 19 = -0*y. Let z = 1 + y. Differentiate -o**4 + 5*o**4 + z - 4 wrt o.
16*o**3
Let g(n) be the first derivative of 0*n - 1 + 0*n**4 - 3/7*n**7 + 0*n**6 + 2*n**3 + 0*n**2 + 0*n**5. What is the third derivative of g(y) wrt y?
-360*y**3
Let m(c) = -2*c**2 + 0*c**3 - c**3 + c**2 + 9*c. Let l(g) = -g + 4*g - g. Let t(f) = 9*l(f) - 2*m(f). Find the third derivative of t(p) wrt p.
12
Let z(x) be the second derivative of -2*x**7/21 - x**3 - 10*x. What is the second derivative of z(n) wrt n?
-80*n**3
Let a(z) = 5*z**4 - 3*z**3 - 3*z**2 + 9. Let m(f) = -5*f**4 + 4*f**3 + 4*f**2 - 9. Let u(d) = 4*a(d) + 3*m(d). What is the first derivative of u(h) wrt h?
20*h**3
What is the third derivative of -55*n**2 - 165*n**4 + 293*n**4 - 151*n**4 wrt n?
-552*n
Suppose -3*c = -4 - 2. Find the second derivative of -2*a**4 + a - c*a - 3*a + a**4 wrt a.
-12*a**2
Find the second derivative of 22*s**5 + 17*s**5 - 21*s - 18*s - 13*s**5 wrt s.
520*s**3
Suppose 4*l + 28 - 3 = -5*b, 3*l - 20 = 4*b. Let j(n) be the first derivative of l*n - 3/2*n**2 + 3 - n**3. What is the second derivative of j(v) wrt v?
-6
Suppose 12 = 4*l - 20. What is the derivative of -122*r**2 + 122*r**2 - l - 7*r**3 wrt r?
-21*r**2
Let p(w) = -53*w**2 - 17*w + 2. Let h(s) = -106*s**2 - 35*s + 5. Let x(m) = -2*h(m) + 5*p(m). What is the second derivative of x(k) wrt k?
-106
Let o(r) = -5*r**3 - r**2. Let b be o(-1). Let m be 2/b*4 + 0. What is the first derivative of m*y**3 - 1 - 3*y**3 + 2 wrt y?
-3*y**2
Let l(i) = -i**4 - 3*i**3 - i + 3. Let s(y) = -4*y**3 + y**4 - 3 - 2*y - 2*y**4 + 3 + 4. Let r(f) = 4*l(f) - 3*s(f). Find the second derivative of r(z) wrt z.
-12*z**2
Let a(h) = -h**2 - 19. Let j(x) = x**2 + 37. Let q(g) = 7*a(g) + 3*j(g). What is the first derivative of q(i) wrt i?
-8*i
Let y(g) be the first derivative of 0*g**2 - g + 0*g**3 + 1/4*g**4 + 2. What is the derivative of y(h) wrt h?
3*h**2
Let g(n) be the first derivative of 0*n**4 - 3/5*n**5 - n**2 + 0*n**3 - 2 + 0*n. What is the second derivative of g(v) wrt v?
-36*v**2
Find the third derivative of -8*o + 24*o**4 + 8*o + 22*o**2 - 73*o**4 wrt o.
-1176*o
Let k(h) = -h**2 + 2*h + 3. Let w be k(0). Find the first derivative of 2 - 6 + a**w - 7*a**3 - 4 wrt a.
-18*a**2
Let i(u) be the first derivative of 0*u**2 - 7/5*u**5 - 5*u + 0*u**3 + 0*u**4 + 8. Differentiate i(j) with respect to j.
-28*j**3
Let i(h) = 4*h - 3*h - 2*h**4 - 3*h**4 - 3*h - 2. Let a(x) = 5*x**4 + 2*x + 3. Let p(v) = -2*a(v) - 3*i(v). What is the second derivative of p(c) wrt c?
60*c**2
Let t(a) = 9*a**2 + 5*a + 4. Let r be t(-3). Suppose c = 4*c - 5*s - 20, -4*c - 2*s = -r. What is the first derivative of c*u**3 + u**4 - 2 - 15*u**3 wrt u?
4*u**3
Let h = -4 + 9. What is the third derivative of -2*c + 3*c**4 + 2*c - h*c**2 + 3*c**2 wrt c?
72*c
Let w(s) = -s**2 + 4*s - 1. Suppose l = -4*y - 1, 4*y = 2*l - l - 7. Let k(d) = d - 1. Let i(u) = y*w(u) + k(u). What is the second derivative of i(f) wrt f?
2
Let x(g) = g**5 + g**4. Let k(j) = 13*j**5 + 4*j**4 + 7*j. Let l(y) = -k(y) + 4*x(y). Find the second derivative of l(t) wrt t.
-180*t**3
Let i(n) = -n**3 - 2*n**2 + 3*n + 4. Let g be i(-3). What is the derivative of -g - 6*b - 1 + 6 + 1 wrt b?
-6
Let q(h) be the second derivative of -4*h**7/21 - 11*h**3/6 - 10*h. What is the second derivative of q(d) wrt d?
-160*d**3
Suppose -3*g = z - 5, 2*z + 0*z = -2*g + 10. Find the third derivative of g*b**3 + 3*b**3 + 2*b**2 + 3*b**2 - 3*b**2 wrt b.
18
Let l(u) be the third derivative of -u**7/420 - u**5/30 + u**3/2 - 3*u**2. Let o(p) be the first derivative of l(p). Find the second derivative of o(y) wrt y.
-12*y
Let y(m) = -m**2 + 6*m + 5. Let q be y(6). Let p = q - 3. Find the second derivative of -4*k**2 + 15 - p*k - 15 wrt k.
-8
Let q(r) = 2*r**2 - 4*r - 1. Let o(b) = -b + 1. Let a(w) = -4*o(w) + q(w). What is the derivative of a(v) wrt v?
4*v
Let q(u) = -u**3 - 3*u**2 - 3*u + 3. Let s(b) = -b**3 + b**2 + b + 1. Let d(f) = q(f) + 3*s(f). Differentiate d(r) with respect to r.
-12*r**2
Let f be (-4)/(-6) - 35/(-15). Differentiate -p**4 + 1 - 7*p**f + 7*p**3 + 1 wrt p.
-4*p**3
Let m = 17 + -30. Let w = m + 18. What is the third derivative of -3*l**w + 2*l**2 + 2*l**2 - 5*l**2 wrt l?
-180*l**2
Let h(k) be the first derivative of -k + 3 + 0*k**2 + 1/3*k**3. Find the first derivative of h(l) wrt l.
2*l
Let k(w) be the third derivative of w**7/280 - w**6/120 + w**3/3 + w**2. Let y(o) be the first derivative of k(o). Find the third derivative of y(g) wrt g.
18
Let l = 47 - 24. Find the second derivative of 2*k**4 + l*k - k**4 - 24*k wrt k.
12*k**2
Let b(w) be the third derivative of 3*w**4/4 + w**3 + 15*w**2. Differentiate b(c) wrt c.
18
Let g(u) = -120*u + 85. Let j(h) = 7*h - 5. Let z(w) = -6*g(w) - 105*j(w). Find the first derivative of z(a) wrt a.
-15
Let q(z) = -11*z**3 - 3*z - 16. Let s(b) = 10*b**3 + 4*b + 17. Let x(w) = 4*q(w) + 3*s(w). What is the derivative of x(j) wrt j?
-42*j**2
Let v(p) = -p**4 + 8. Let q = -7 - -16. Let u(d) = -3*d**4 + 33. Let y(c) = q*v(c) - 2*u(c). Find the first derivative of y(z) wrt z.
-12*z**3
Suppose -11 = -f - 2*c - 2*c, f - c = 1. Find the third derivative of -l**3 - 2*l**3 + 3*l**2 + 0*l**f wrt l.
-18
Let u(q) be the third derivative of -q**7/42 + 13*q**3/6 - 21*q**2. What is the derivative of u(i) wrt i?
-20*i**3
Let k(a) be the first derivative of 13*a**4/4 - a**3/3 + 56*a - 44. Differentiate k(b) wrt b.
39*b**2 - 2*b
Suppose 4*r - 8 + 0 = 0. What is the third derivative of 2*m - m + 4*m**r + 2*m**6 - m wrt m?
240*m**3
Let j = 3 + -1. Find the second derivative of 3*q - 2*q**j + 5*q**2 - q - 6*q wrt q.
6
Let h be (-8)/((-3)/3 - 1). Suppose -h*a - 5 = -5*z - 17, -5*a - 3*z = -15. What is the second derivative of 2*s**5 + 0*s + 2*s - a*s wrt s?
40*s**3
Let g(z) = z**3 + 5*z**2 + 4*z + 3. Let o be g(-4). Suppose -7*d + 29 = n - o*d, -4*n - 5*d + 61 = 0. What is the third derivative of 9 + p**6 + p**2 - n wrt p?
120*p**3
Suppose -4*d + 26 = w + 4*w, w + 10 = 3*d. Suppose c - 43 = -3*j, -c = -d*j - 3 - 33. Find the second derivative of -c*l + 0*l**4 + 42*l + l**4 wrt l.
12*l**2
Let h = 5 - 1. Suppose -5*i = 4*c - 17, -2*c + 19 = 3*i - h*c. What is the third derivative of -j**2 - j**5 - 2*j**i - j**5 - 2*j**2 wrt j?
-240*j**2
Let f(w) be the third derivative of 7*w**2 + 0*w**4 + 1/210*w**7 + 0*w + 0*w**6 + 0*w**3 + 0 - 1/10*w**5. Find the third derivative of f(g) wrt g.
24*g
Let u(k) = -44*k**5 - 11*k**4 + 115*k - 11. Let c(y) = -9*y**5 - 2*y**4 + 23*y - 2. Let z(t) = -11*c(t) + 2*u(t). Find the second derivative of z(d) wrt d.
220*d**3
What is the third derivative of 4*q - 4*q**2 + 5*q - 9*q + 33*q**3 wrt q?
198
Let g(t) = -2*t**2 + 5*t. Let w(r) = r**2 - 6*r. Let n(q) = 4*g(q) + 3*w(q). Find the second derivative of n(x) wrt x.
-10
Let g(q) = -q**3 + 4*q**2 - 3*q. Let j be g(2). Find the second derivative of v**2 - j*v + 0*v + v wrt v.
2
Let a(f) be the second derivative of 0*f**6 + 0 + 1/42*f**7 + 0*f**5 + 1/3*f**3 + 0*f**2 + 0*f**4 + 3*f. Find the second derivative of a(o) wrt o.
20*o**3
Let s = 0 - -2. What is the second derivative of 2*f**2 + 3*f - f**s - f**2 - 2*f**2 wrt f?
-4
Let i(j) be the first derivative of 3*j**2 + 27*j - 38. Differentiate i(b) wrt b.
6
Let n be 8/(-10)*10/(-4). Suppose 0 = 4*i - 5*i + 2. What is the third derivative of -6*z**6 + 5*z**6 - z**i + n*z**2 wrt z?
-120*z**3
Let l(b) be the second derivative of -2*b - 1/20*b**5 + 0*b**4 - b**2 + 0 + 0*b**3. What is the derivative of l(u) wrt u?
-3*u**2
Let i(c) = -2*c**3 - c**2 + c - 1. Let z(u) = 0 - 2*u - 1 + 3*u. Let n = 6 - 7. Let h(a) = n*z(a) + i(a). What is the third derivative of h(r) wrt r?
-12
Let o(u) = u + 1. Let b(h) = -4*h**4 - 5*h - 13. Let m(c) = -2*b(c) - 10