*g**2 wrt g.
6
Let l(k) = -k + 14. Let p be l(9). Differentiate 6*o**3 + 0*o - 2*o + p + 2*o with respect to o.
18*o**2
Find the first derivative of 8 + 8*q**2 + 3*q**4 - 8*q**2 wrt q.
12*q**3
Suppose -4*x - 2*c = -12, -2*x - 3*c = c - 6. What is the first derivative of 2 + 4 - x*p**3 - 4 wrt p?
-9*p**2
What is the second derivative of 22*h + 3*h**2 - 29*h - 17*h**2 wrt h?
-28
Let k(j) = -j - 1. Let p(f) = 12*f + 6. Suppose 0 = -4*l - 10 + 30, -5*a - 5*l = 25. Let x(y) = a*k(y) - p(y). What is the derivative of x(r) wrt r?
-2
Let u(i) be the first derivative of -13*i**3/3 + 6*i**2 + 18. What is the second derivative of u(g) wrt g?
-26
Let n(u) be the second derivative of 5*u**4/2 + 22*u**3/3 + 22*u. Find the second derivative of n(v) wrt v.
60
Let u(i) = i**2 + i - 1. Suppose 0 = 4*w + 20, 5*w - 5 = -3*x - 15. Let m(v) = 3*v**3 + 5*v**2 + 5*v - 9. Let o(c) = x*u(c) - m(c). Differentiate o(f) wrt f.
-9*f**2
Let c(j) = 4*j**2 - 7*j - 58. Let i(f) = -3*f**2 + 5*f + 39. Let d(k) = 5*c(k) + 7*i(k). What is the first derivative of d(x) wrt x?
-2*x
Let z(l) = -l**2 - 6*l - 3. Let h be z(-5). Suppose -p = h*r - 10, -5*r + 2*p - 6*p = -28. Find the second derivative of j**r + 0*j**4 + 0*j + j wrt j.
12*j**2
Let m(c) = 4*c**3 - 2*c + 6. Let l(d) = -d**3 - 3*d**2 + 1. Let z be l(-3). Let s(n) = n - 1. Let a(q) = z*m(q) + 2*s(q). Differentiate a(o) wrt o.
12*o**2
Let t = -12 - -14. Find the third derivative of b**4 - 3*b**4 + 14*b**2 - 21*b**t wrt b.
-48*b
Let k be ((-4)/5)/(4/(-10)). What is the derivative of -21*v - 3 + 4*v**k + 21*v wrt v?
8*v
Suppose 5*d + 4*k - 27 = 0, -3*d = -d - k - 3. Find the first derivative of 62*r - 62*r - d*r**4 + 1 wrt r.
-12*r**3
Suppose -5*y - 2 = -22. Let g(x) be the second derivative of -2*x + 0*x**2 + 1/20*x**5 + 0 + 1/12*x**y + 0*x**3. Find the third derivative of g(c) wrt c.
6
Let w(f) = f**2. Let m(b) = 12*b**2 - 16*b. Let o(s) = m(s) + w(s). What is the second derivative of o(k) wrt k?
26
Let q(c) be the third derivative of 3*c**8/112 + 5*c**4/12 + 9*c**2. What is the second derivative of q(b) wrt b?
180*b**3
Suppose 0 = -3*j - 2*f + 2, -4*f + 4 = 5*j + 2. Let u be ((-3)/3*0)/j. What is the second derivative of -g**2 - 3*g - g**5 + g**2 + u*g wrt g?
-20*g**3
Suppose 0 = 3*y - r - 12, 0*y + 2*r - 6 = -4*y. Let l(j) be the first derivative of -3/2*j**2 - j**3 + 0*j + y. What is the second derivative of l(d) wrt d?
-6
Suppose 0 = h - 2*j - 3, 3 - 5 = 2*h + 4*j. Let w(r) = 4*r**3 - r**2 + r. Let x be w(h). Find the second derivative of -x*n + 5*n - 2*n**4 + n**4 wrt n.
-12*n**2
Let q(x) = -43*x**2 - 3*x + 1. Let u(g) = -43*g**2 - 4*g + 2. Let c(n) = 4*q(n) - 3*u(n). Differentiate c(r) with respect to r.
-86*r
Let b(m) = -m + 10. Let l be b(8). Suppose -i + 30 = i + 3*t, -i + 1 = -l*t. What is the third derivative of -7*p**6 + 3*p**2 + i*p**6 - 2*p**2 wrt p?
240*p**3
Let l = 12 - 6. What is the third derivative of q**6 + 3*q**2 + q**6 - 5*q**l wrt q?
-360*q**3
Let s = 9 + -4. Find the third derivative of -4*o**3 + 0*o**3 + s*o**3 - 3*o**2 wrt o.
6
Suppose 2*f + l = -f + 9, 12 = 4*f - 4*l. Find the second derivative of -3*s + 2*s**4 + f*s + 3*s + s**4 wrt s.
36*s**2
Let p be (-4)/((-1 - 0)*-2). Let c(u) = u**3 - u**2 - u. Let m(z) = -6*z**3 + 2*z**2 - 3*z. Let a(q) = p*c(q) - m(q). Find the second derivative of a(y) wrt y.
24*y
Suppose 0 = 2*o + 3*s - 1, -o - s + 5*s + 28 = 0. Suppose 4*p = p + 9. What is the first derivative of -o*f**2 + 8*f**2 + 2*f**p + 0*f**3 - 3 wrt f?
6*f**2
Let f(q) = 13*q**4 + 4*q**3 - 4*q**2 - 4*q - 11. Let p(h) = -h**3 + h**2 + h + 1. Let o(k) = f(k) + 4*p(k). Find the first derivative of o(j) wrt j.
52*j**3
Let k(p) be the second derivative of 3*p**5/20 - 4*p**4/3 - 2*p. What is the third derivative of k(c) wrt c?
18
Let g(p) be the third derivative of 0 + 0*p**5 + 0*p**3 - 1/6*p**4 + 0*p - 1/210*p**7 - 3*p**2 + 0*p**6. Find the second derivative of g(f) wrt f.
-12*f**2
Let i(c) be the first derivative of -3*c**2 - c - 1. Let y be i(-1). Find the second derivative of -2*k + 5*k - 4*k**y + k**5 wrt k.
-60*k**3
Let c(t) be the second derivative of 6*t**7/7 + 19*t**4/6 + 31*t. What is the third derivative of c(n) wrt n?
2160*n**2
Let t(o) be the third derivative of -o**7/105 + 49*o**6/120 - 5*o**4/8 - o**3/3 + 9*o**2 + 4. What is the second derivative of t(g) wrt g?
-24*g**2 + 294*g
Suppose 8 = -v - 5*f, 0*v = 2*v - 2*f - 8. What is the third derivative of -4*c**3 - v*c**5 + 4*c**3 + 0*c**2 - 5*c**2 wrt c?
-120*c**2
Let w(h) = -h**3 - h**2 - h. Let s = -10 + 7. Let m(v) = -v**3 + 3*v**2 + 3*v + 3. Let d(g) = s*w(g) - m(g). Differentiate d(r) wrt r.
12*r**2
What is the derivative of -g**2 + 5 + 2 - 2*g**2 wrt g?
-6*g
Let s be (-4)/(-36)*3*18. What is the third derivative of d**2 - 2*d**6 - 11*d**2 + d**6 - 4*d**s wrt d?
-600*d**3
Suppose b = 3, -13 = -z - 2*b - 2*b. Let h be z/((4 - 1)/6). What is the second derivative of -4 + 4 - 3*p**h + 2*p + 2*p**2 wrt p?
-2
Let f(p) = 2*p - 4. Let v = 6 - 3. Let l be f(v). What is the derivative of l - g**3 - g**3 - 3 wrt g?
-6*g**2
Find the second derivative of -71*b + 3*b**2 - 8*b**3 - 3*b**2 + 65*b wrt b.
-48*b
Let h(p) be the third derivative of 29*p**4/24 - 8*p**3/3 + 17*p**2. What is the first derivative of h(f) wrt f?
29
Suppose 10*y + 25 = 5*y. Let i = 6 + y. Let r(d) = 2*d**3 - 3*d + 1. Let a(k) = -1. Let l(g) = i*a(g) + r(g). Find the second derivative of l(v) wrt v.
12*v
Let k(t) = t**2 - t. Let c be k(-1). Find the third derivative of c*a**3 - a**3 + 0*a**3 - 4*a**2 wrt a.
6
Let x(n) = -13*n**3 + 5*n**2 - 6*n. Let t(d) = -d**2. Let m(c) = -5*t(c) - x(c). Find the second derivative of m(f) wrt f.
78*f
Find the third derivative of 12*b**3 - 6*b**3 - 2*b**2 - 3*b**2 wrt b.
36
Let f(s) be the third derivative of -s**8/42 - 19*s**4/24 + 8*s**2. What is the second derivative of f(l) wrt l?
-160*l**3
Let r(w) = 121*w**4 - 11*w**3 - 51*w**2 + 11. Let y(k) = 24*k**4 - 2*k**3 - 10*k**2 + 2. Let x(v) = 2*r(v) - 11*y(v). Find the third derivative of x(b) wrt b.
-528*b
Suppose 6*k - 2*k = 0. Differentiate k*t - t - 2 - 2 wrt t.
-1
Suppose -l - 6 = -2*l. What is the third derivative of 4*r**3 + l*r**2 - 4*r**3 + 3*r**4 wrt r?
72*r
Let s(j) be the third derivative of 1/70*j**7 + 0*j**4 + 0 + 0*j - 2/3*j**3 + 0*j**5 - 6*j**2 + 0*j**6. Differentiate s(z) wrt z.
12*z**3
Find the second derivative of -9*p**3 + 6*p + 0*p**2 - 3*p + 0*p**2 wrt p.
-54*p
What is the second derivative of 11*p - 3*p + 12*p - 2*p + 13*p**4 wrt p?
156*p**2
Differentiate -1 - 4 + 3*m**2 + 4*m**2 + 3 with respect to m.
14*m
Let a(r) be the second derivative of 0*r**3 - 1/5*r**5 + 0 - 4*r**2 - 3*r + 0*r**4. What is the first derivative of a(z) wrt z?
-12*z**2
Let h(d) = 3*d**4 - 6*d**2. Suppose -3*u + 4*u - 4 = 0. Let g(i) = 6*i**4 - 13*i**2. Let c(k) = u*g(k) - 9*h(k). Find the third derivative of c(p) wrt p.
-72*p
Let i(c) be the second derivative of c**6/10 - 5*c**4/4 + 6*c. Find the third derivative of i(m) wrt m.
72*m
Let v(f) = 11*f**3 + 3*f**2 + 6*f + 6. Let g(d) = -12*d**3 - 2*d**2 - 7*d - 7. Let y(h) = -6*g(h) - 7*v(h). Find the third derivative of y(k) wrt k.
-30
Let i(l) be the first derivative of -43*l**2/2 + 56*l - 39. What is the first derivative of i(f) wrt f?
-43
Let n(j) = -j - 3. Let b(i) = i**3 - i - 4. Let z(k) = 3*b(k) - 4*n(k). Find the second derivative of z(m) wrt m.
18*m
Suppose 0 = 2*f - 6*f + 16. What is the second derivative of 2*z**2 - f + 2*z + 4 + 0 wrt z?
4
Suppose 2*g = 10 + 10. Let p be (-4)/g - (-12)/5. Find the third derivative of -2*c**p + c**2 + c**2 - c**2 + 3*c**4 wrt c.
72*c
Let o(i) = 341*i**3 - 121*i**2 + 220*i + 121. Let r(u) = 17*u**3 - 6*u**2 + 11*u + 6. Let c(h) = -6*o(h) + 121*r(h). Find the second derivative of c(x) wrt x.
66*x
Let w(o) be the third derivative of 5*o**8/168 + o**5/20 + 5*o**2. What is the third derivative of w(g) wrt g?
600*g**2
Let n(r) = -3*r**3 - 11*r**2 + 17. Let c(h) = h**3 + 6*h**2 - 9. Let t(a) = 11*c(a) + 6*n(a). Differentiate t(s) wrt s.
-21*s**2
Let d be (-3)/(-6)*4 - -2. Suppose 0 = -4*n - 7*o + 2*o + 34, -d*n = -2*o - 20. Find the third derivative of -8*s - s**n + 8*s + s**2 wrt s.
-120*s**3
Let k(x) = 83*x + 39. Let d(t) = 56*t + 26. Let v(c) = 8*d(c) - 5*k(c). What is the derivative of v(p) wrt p?
33
Let h be (