1/2*k**2. Find the second derivative of b(f) wrt f.
-2
Let d(r) = 5*r**2 - 10*r + 7. Let v = 13 - 20. Let n(l) = 4*l**2 - 9*l + 6. Let z(h) = v*n(h) + 6*d(h). Find the second derivative of z(x) wrt x.
4
Let z(w) = -5*w**2 + 2. Let j(s) = -14*s**2 + 6. Let y be 40/24 - (-2)/6. Let c(g) = y*j(g) - 7*z(g). Differentiate c(v) with respect to v.
14*v
Let c(j) be the third derivative of 4*j**6/15 + 11*j**5/60 + j**3/6 - 38*j**2 - j. What is the third derivative of c(p) wrt p?
192
Let y(o) be the first derivative of 5*o**4/2 - 17*o**2/2 - o + 27. Find the second derivative of y(r) wrt r.
60*r
Let b(h) = 1. Let k(d) = -d - 8. Let t(a) = a + 8. Let l(w) = 4*k(w) + 3*t(w). Let f(v) = 5*b(v) + l(v). Differentiate f(s) wrt s.
-1
Suppose -3*c = c - 8. What is the third derivative of s**6 + 3*s**2 - 4*s**2 - 4*s**c - 4*s**6 wrt s?
-360*s**3
Let s be (-2 + (2 - 0))*1. Suppose -4*k + 8 = 2*d, -6*k + 2*k = -3*d + 22. Differentiate s*n - d*n - 1 + 4*n with respect to n.
-2
Find the third derivative of 4*j**2 + j**2 - 3*j**6 - 2*j**6 wrt j.
-600*j**3
Let k(x) be the first derivative of -55*x**6/6 + 13*x**2/2 + x - 27. What is the second derivative of k(b) wrt b?
-1100*b**3
Suppose 3*t - f = 16, -2 = -3*t - 2*f + 2. Suppose -t = -s - 2. What is the third derivative of -3*h**2 - 2*h**3 + 5*h**s + 3*h**3 wrt h?
6
Let u(p) be the first derivative of -3/2*p**2 + 0*p**4 + 2 + 0*p**3 + 0*p - 1/5*p**5. Find the second derivative of u(c) wrt c.
-12*c**2
Let o(h) be the second derivative of 0*h**6 + 0*h**5 + 3/56*h**8 - 3*h + 0*h**3 + 1/4*h**4 + 0*h**2 + 0 + 0*h**7. Find the third derivative of o(s) wrt s.
360*s**3
Suppose -8 - 4 = -2*a - 4*i, -3*a = -3*i - 27. Suppose 2 = -3*p + a. Find the third derivative of -3*t**5 + 3*t**5 + 2*t**p + t**5 wrt t.
60*t**2
Let q(v) = 86*v**2 - 19. Let c(a) = 17*a**2 - 4. Let p(u) = 11*c(u) - 2*q(u). Differentiate p(y) wrt y.
30*y
Let j(t) = -t + 4. Let q be j(0). Suppose 0 = -3*w + w + q. Differentiate w + 0 - 1 + 2*v wrt v.
2
Find the first derivative of -10 + 6 - 32*c - 5 wrt c.
-32
Suppose -6*p - 7 = -p + j, 5*p - 1 = 3*j. Let a = 5 - p. Differentiate 7*v**3 + 6 - 2 + 0 - a*v**3 wrt v.
3*v**2
Differentiate -7*r**4 - 1 + 4 - 3*r**4 + 4 with respect to r.
-40*r**3
Let v(o) be the first derivative of 4*o**5 + 5*o**2/2 + 3. Find the second derivative of v(n) wrt n.
240*n**2
Let p(t) be the first derivative of 4*t**6/3 - 4*t**2 - 6. What is the second derivative of p(u) wrt u?
160*u**3
Let m(f) be the second derivative of 0*f**6 - 3*f + 0*f**2 + 0 + 0*f**3 - 1/4*f**4 + 1/56*f**8 + 0*f**7 + 0*f**5. Find the third derivative of m(k) wrt k.
120*k**3
Let n(t) = 21*t**2 - 2*t + t + 2*t. Let q(h) = 11*h**2. Let d(y) = -6*n(y) + 11*q(y). What is the second derivative of d(f) wrt f?
-10
What is the second derivative of 26*c**5 - 6*c - 2*c + 6*c + 54 + 3*c wrt c?
520*c**3
Let p(z) = z**5 + z**4 + z**2 + z. Let w(u) = -12*u**5 + 5*u**4 + 21*u**2 + 5*u. Let c(k) = -5*p(k) + w(k). What is the third derivative of c(v) wrt v?
-1020*v**2
What is the second derivative of 12*u**3 - 688 + 9*u + 688 wrt u?
72*u
Let y(r) = -r**2 + 13*r + 5. Let o be y(13). Suppose -13 = -2*k - 3. Find the second derivative of 5*z**o - 5*z**k - 2*z**5 + z wrt z.
-40*z**3
Let s(q) be the second derivative of 5*q**4/24 - 7*q**3/6 + 7*q**2/2 + 6*q. Let l(b) be the first derivative of s(b). Differentiate l(w) with respect to w.
5
Let c(j) be the third derivative of 19*j**9/504 + j**5/20 - 16*j**2. Find the third derivative of c(w) wrt w.
2280*w**3
What is the third derivative of 2*f - 2*f + 7*f**2 + 8*f**2 + 3*f**5 wrt f?
180*f**2
Suppose -5*n + 27 = l, 14 = 4*l + 3*n - 9. Differentiate -1 + o - o + 0*o**2 + l*o**2 wrt o.
4*o
Let j(l) be the second derivative of -l**7/6 + 7*l**4/12 + l. Find the third derivative of j(s) wrt s.
-420*s**2
Let p(m) be the third derivative of 0*m**3 - m**2 + 0 + 1/24*m**6 + 0*m**5 + 0*m + 1/12*m**4. What is the second derivative of p(r) wrt r?
30*r
Suppose -3*m + 5*s + 6 = -23, 0 = 3*s + 12. Let u(v) = v**2 - 13*v - 3. Let a(q) = q + 1. Let r(t) = m*a(t) + u(t). What is the second derivative of r(l) wrt l?
2
What is the first derivative of 15 - 3*o - o - 10 wrt o?
-4
Differentiate -13*c**3 - 5 - 18 - c**3 + 22*c**3 with respect to c.
24*c**2
Let g(j) be the third derivative of j**5/12 + 3*j**3/2 - 5*j**2. What is the derivative of g(c) wrt c?
10*c
Let f(x) = -2*x**2 + 2*x - 1. Suppose 3*t + 3 = 0, 3*m + t + 0*t = 5. Let a(q) = -2*q. Let z(i) = m*a(i) + 2*f(i). What is the derivative of z(d) wrt d?
-8*d
Let x(u) be the first derivative of -13*u**6/3 + 12*u**3 + 27. What is the third derivative of x(w) wrt w?
-1560*w**2
Let w(q) be the third derivative of -q**7/630 - q**5/40 + q**4/8 - 4*q**2. Let v(z) be the second derivative of w(z). What is the derivative of v(b) wrt b?
-8*b
Let r be 468/81 + (-4)/(-18). Differentiate -r - m**4 - 1 + 4*m**4 - 1 wrt m.
12*m**3
What is the third derivative of -76*z**2 + 22*z**6 + 71*z**2 - 2*z**3 + 2*z**3 wrt z?
2640*z**3
Let u(f) = -15*f**3 - 3*f**2. Let c(d) = 7*d**3 - 76*d + d**2 + 76*d. Let o(j) = -5*c(j) - 2*u(j). What is the third derivative of o(y) wrt y?
-30
What is the third derivative of 6*g**3 + 3*g**2 + 21*g**4 - 8*g**2 - 6*g**3 wrt g?
504*g
Let o(j) be the second derivative of 1/28*j**8 + 1/6*j**4 + 0*j**6 + 0*j**2 + 0*j**7 + 0 + 3*j + 0*j**5 + 0*j**3. What is the third derivative of o(x) wrt x?
240*x**3
Suppose 4*p = -5*f - 60, 0*f - 2*f - 58 = 5*p. Let h be (-2)/p - (-9)/5. What is the third derivative of 8*o**5 + h*o**6 - 8*o**5 - o**2 wrt o?
240*o**3
Let k be 15/9 - (-3)/9. Suppose 0*f = -k*f + 2. Differentiate -8*p + 5*p + 1 + f wrt p.
-3
Suppose 7*a - 6*a = 2. What is the first derivative of -2*r**4 + a + 4 - 1 - 6 wrt r?
-8*r**3
What is the third derivative of -2*f**6 + f**2 + f**6 - 3*f**6 wrt f?
-480*f**3
Let x = -3 - -6. Find the second derivative of -19*y**3 + 3*y**4 + 19*y**x - 2*y wrt y.
36*y**2
Suppose -3 - 9 = -2*o. Let q(k) = -3*k - 8. Let p(b) = -8*b - 23. Let s = -5 - 12. Let w(h) = o*p(h) + s*q(h). Differentiate w(t) with respect to t.
3
Let p = 0 - -3. Differentiate -8*f**3 + 12 - 3 - p wrt f.
-24*f**2
Suppose -q = 2, 0*k - q = -k + 6. Suppose -10*x = -5*x. What is the second derivative of 5*m - 4*m + 3*m**k - 5*m + x*m wrt m?
36*m**2
Differentiate 3 + 13*s**4 + 30*s**2 - 30*s**2 + 1 wrt s.
52*s**3
Let b(v) be the second derivative of v**6/15 + 23*v**5/20 - 43*v**2/2 + 38*v. Find the first derivative of b(j) wrt j.
8*j**3 + 69*j**2
Find the first derivative of -6*h**3 - 4 - 13 + 2 wrt h.
-18*h**2
Suppose -5*j - 4 + 24 = 0. What is the second derivative of 7*b - 4*b**4 - b**2 - j*b + b**2 wrt b?
-48*b**2
Find the third derivative of -3*x**3 - x + 4*x**2 - 4*x**4 + x**4 + 3*x**4 + 4*x**4 wrt x.
96*x - 18
Let j(y) be the first derivative of -y**8/168 - 11*y**5/120 - 3*y**3 - 5. Let w(l) be the third derivative of j(l). What is the second derivative of w(x) wrt x?
-120*x**2
What is the third derivative of -2*b**2 - b**2 + b - 5*b**3 - b wrt b?
-30
Let x(z) be the second derivative of 0 + 0*z**5 + 2*z**2 - z + 0*z**4 + 0*z**3 - 2/15*z**6. Differentiate x(t) with respect to t.
-16*t**3
Find the third derivative of -34*m**6 - 12*m**6 + 4*m**6 + 42*m**2 - 5*m**2 wrt m.
-5040*m**3
Let h(g) be the second derivative of 5/42*g**7 + 0 + 0*g**5 + 1/3*g**3 + g + 0*g**4 + 0*g**6 + 0*g**2. Find the second derivative of h(b) wrt b.
100*b**3
Let h(p) be the first derivative of 3/7*p**7 + 0*p**5 + 0*p + 0*p**4 + 0*p**2 + p**3 + 1 + 0*p**6. Find the third derivative of h(b) wrt b.
360*b**3
Suppose 5*x = -4*u + 8*u + 7, -2*u + 5*x = 11. Let r be 2 - (-3)/(-1 - u). What is the first derivative of -2*d - 2 + 2 - r wrt d?
-2
Let d(a) be the first derivative of -32*a**5/5 + 47*a**3/3 + 2*a - 34. Find the third derivative of d(p) wrt p.
-768*p
Let g(j) = -4*j**5 - 2*j + 3. Let d(r) = r**5 - 3*r**3 - 1 + r + 3*r**3. Let a(b) = -3*d(b) - g(b). What is the second derivative of a(p) wrt p?
20*p**3
Let b(m) be the first derivative of 0*m - 3/5*m**5 + 0*m**4 - 3 + 2*m**2 + 0*m**3. Find the second derivative of b(s) wrt s.
-36*s**2
Suppose -4 = n - 5. Let c(d) = -d**3. Let s(w) = -9*w**3 + 2*w. Let u(g) = n*s(g) - 6*c(g). Find the second derivative of u(k) wrt k.
-18*k
Let y be (-4 + 4)*1/(-2). Differentiate 4*s -