d derivative of r(c) wrt c?
-300*c**2
Let a(v) = 2*v. Let p be a(2). What is the second derivative of 4*z - 4*z**4 + p*z**4 - z**4 wrt z?
-12*z**2
What is the third derivative of 11*w**5 + 52*w**2 - 7*w**5 + 13*w**4 - 4*w**4 - 6*w**5 wrt w?
-120*w**2 + 216*w
Let q(i) be the second derivative of -7*i**5/20 - i**4/12 + 12*i**2 - 56*i. Differentiate q(a) wrt a.
-21*a**2 - 2*a
Find the second derivative of 9*q**2 - 8*q**2 + 0*q**2 + 7*q + 5*q wrt q.
2
Let f(t) = 4*t + 8. Let q(w) = 8*w + 17. Let y(r) = 7*f(r) - 3*q(r). Differentiate y(k) with respect to k.
4
Suppose 3*v + 2 = 11. Suppose -4*m + 12 = 2*f - 0*m, -v*m = 3*f - 15. Find the second derivative of -3*g + 3*g + 2*g + 3*g**f wrt g.
36*g**2
Let j(o) be the third derivative of -7*o**6/120 + 7*o**4/24 + 5*o**2. Find the second derivative of j(q) wrt q.
-42*q
Suppose 0 = -2*s - 1 + 5. Find the second derivative of -2*u - u**s + u**2 + u**5 wrt u.
20*u**3
Let y(u) be the first derivative of -u**6/6 - 5*u**4/4 - u**2/2 + 16*u - 48. What is the second derivative of y(r) wrt r?
-20*r**3 - 30*r
Let x = 31 - 31. Let g(o) be the second derivative of 0*o**3 + x + 0*o**2 - 1/20*o**5 - 1/6*o**4 + o. Find the third derivative of g(m) wrt m.
-6
Let s be -4*(30/4)/(-5). Let n be (-14)/(-3) - s/9. Differentiate y**n + 0*y**4 + 1 - 3 wrt y.
4*y**3
Let j(m) be the third derivative of -2*m**6/15 - 13*m**5/60 + 6*m**2. What is the third derivative of j(y) wrt y?
-96
Let i be (-2)/(-8) + 7/4. Suppose 3 - 7 = -i*f. What is the third derivative of -4*t**2 + 2*t**4 + t**f + 5*t**2 wrt t?
48*t
Let t(i) = 45*i**3 - 4*i**2 + 28. Let r(a) = -45*a**3 + 3*a**2 - 29. Let u(f) = -4*r(f) - 3*t(f). What is the derivative of u(d) wrt d?
135*d**2
Let u(s) = -s**4 + s**3 - s - 1. Let a(w) = 6*w**3 - 6*w - 8. Let k(t) = a(t) - 6*u(t). Find the first derivative of k(h) wrt h.
24*h**3
Let h(b) be the third derivative of -b**6/24 - b**5/30 - b**2. What is the third derivative of h(i) wrt i?
-30
Let z(p) = -p**4 + p**3. Let h(u) = -6*u**4 + u**3 - 3*u. Suppose -1 = t - 0. Let q(i) = t*h(i) + z(i). Find the second derivative of q(f) wrt f.
60*f**2
What is the third derivative of 57*i**2 - 42*i**2 - 6*i**4 - 31*i**2 wrt i?
-144*i
Let g(a) = -a**3 - 5*a**2 - 4*a + 4. Let o be g(-4). Let m be (o/10)/((-1)/(-5)). What is the derivative of -3*n**4 - n**4 + m + 2*n**4 wrt n?
-8*n**3
Let w(j) be the second derivative of 0 + 0*j**3 + 2/5*j**5 + 1/4*j**4 + 5*j + 0*j**2. Find the third derivative of w(x) wrt x.
48
Let x(b) be the second derivative of b**6/6 + 13*b**2/2 + 7*b. Differentiate x(d) with respect to d.
20*d**3
What is the first derivative of -2 - 9 - 14*c + 21 wrt c?
-14
Let t = 0 + 2. Suppose 16 = 4*v, 0 = -3*f + 2*v - 0*v - 2. What is the second derivative of -2*j - j**5 - t + 2 + f*j**5 wrt j?
20*j**3
Let z(w) be the second derivative of w**4/6 - 5*w**2 - 3*w. What is the derivative of z(b) wrt b?
4*b
Let q(h) be the second derivative of 7*h**6/30 + 17*h**3/6 + 22*h. What is the second derivative of q(k) wrt k?
84*k**2
What is the first derivative of -4 + 3*p**3 + 5*p**3 + p**3 + 2 wrt p?
27*p**2
Suppose -2*a + 11 = -1. Find the third derivative of -d**2 + 4*d**6 - 2 - 7*d**a + 2 wrt d.
-360*d**3
Let w(b) be the first derivative of b**5/40 - b**4/8 + b**3/3 + 1. Let i(j) be the third derivative of w(j). Differentiate i(k) wrt k.
3
Let d(x) = -4*x - 1. Let l be d(-1). Find the first derivative of 6*j**3 - 3 - 4*j**l + 6 - 3*j**3 wrt j.
-3*j**2
Let c(y) be the third derivative of y**6/10 - 17*y**5/60 - 14*y**2. Find the third derivative of c(u) wrt u.
72
Let v = 20 + -18. Differentiate -10*d**v + 13 + 7 - 9 with respect to d.
-20*d
What is the derivative of 13 - 36 - 3 + v**3 + 2*v**2 - 19*v**2 wrt v?
3*v**2 - 34*v
Let d(h) = -37*h**3 + 46*h - 7. Let b(v) = -25*v**3 + 31*v - 5. Let o(r) = -7*b(r) + 5*d(r). Find the second derivative of o(p) wrt p.
-60*p
Let j(t) = 19*t**2 + 11. Let o(w) = 1. Let f(r) = j(r) + 6*o(r). Differentiate f(h) wrt h.
38*h
What is the third derivative of -17*v**6 + 13*v**2 + 25*v**2 - 22*v**2 wrt v?
-2040*v**3
Let z(i) be the second derivative of 0*i**3 + 0 - 3*i + 0*i**2 + 1/6*i**4 + 1/20*i**5. What is the third derivative of z(r) wrt r?
6
Let z(q) be the second derivative of 2*q**7/21 - 13*q**3/6 + q**2 + 24*q - 1. What is the second derivative of z(n) wrt n?
80*n**3
Suppose 0*n + 4*n + 4 = -4*c, 0 = -3*n + 5*c + 29. Differentiate 20*x**2 + 1 - 20*x**2 + n*x**4 with respect to x.
12*x**3
Find the second derivative of -2 + 10*m + 0 + m + 299*m**3 - 247*m**3 + m**2 wrt m.
312*m + 2
Let u be (-2)/(-5) - 4/10. Let a(l) be the third derivative of -1/2*l**3 - l**2 + 0*l + 0*l**5 + u*l**4 + 0 + 1/120*l**6. Differentiate a(f) wrt f.
3*f**2
Let u(g) be the second derivative of -3*g**8/28 + 2*g**4/3 - 6*g. Find the third derivative of u(m) wrt m.
-720*m**3
Suppose -2*g + 5 = -3. What is the derivative of -z**g + 1 + 1 - 4 - 2*z**4 wrt z?
-12*z**3
Suppose 2*u - 7 = 3*q, -3*q + 1 = -5*u + 5. Let l(w) = -w. Let j be l(q). What is the second derivative of -o + 0*o**2 + j*o + 2*o + 2*o**2 wrt o?
4
What is the first derivative of 7*b**3 + 221 - 174 - 3*b**4 + 0*b**4 wrt b?
-12*b**3 + 21*b**2
What is the third derivative of 10*z**2 - 24*z**2 + 13*z**2 + 36*z**3 wrt z?
216
Let g be (2 - 0/2) + -4. Let n be -3*(0 - g/(-3)). What is the second derivative of 0*h**4 - 2*h + 4*h + n*h**4 wrt h?
24*h**2
Let w = -65 - -65. Let d(i) be the second derivative of 0*i**4 + 0 + 1/2*i**3 + 3/20*i**5 + w*i**2 - i. What is the second derivative of d(h) wrt h?
18*h
What is the third derivative of w**3 - 6*w**3 + 10*w**3 + 10*w**2 + 15*w**3 wrt w?
120
Let o = 7 - 4. Find the third derivative of -j**2 - 2*j**3 - 4*j**2 - o*j**3 + 7*j**2 wrt j.
-30
Let a(k) be the first derivative of -k**4/2 - 15*k + 11. What is the derivative of a(m) wrt m?
-6*m**2
Let b(t) = 17*t**4 - 3*t + 14. Let g(k) = -33*k**4 + 5*k - 29. Let u(h) = -5*b(h) - 3*g(h). Differentiate u(y) wrt y.
56*y**3
Let x(s) be the first derivative of s**6/5 - s**3/3 + 7*s + 7. Let n(t) be the first derivative of x(t). What is the second derivative of n(z) wrt z?
72*z**2
Let u(d) = -d**3 + 6*d**2 - 5*d - 1. Let k be u(4). Suppose -4*n + i + k = 0, 4*i = 5*n - 0*n - 22. Find the first derivative of 4 - n + 0 - 2*c**4 wrt c.
-8*c**3
Find the third derivative of 24*i**5 - i**2 + 8*i**2 + 9*i**2 wrt i.
1440*i**2
Suppose -c = -2*w - 5, -2*w = w + 3. Let f be (c/2)/(1/2). Differentiate -3 + 1 + 6*p - f*p wrt p.
3
Let x be (-2)/((-2)/3 - 0). Suppose 3 + 3 = x*i. What is the derivative of -2 + i*s**2 + 4 - s**2 wrt s?
2*s
Let z be 2 + (2/2 - 0). What is the second derivative of t - z*t - t**3 - t wrt t?
-6*t
Let z(f) be the second derivative of 0 + 7/6*f**3 + f - 7/12*f**4 + 0*f**2. What is the second derivative of z(p) wrt p?
-14
What is the second derivative of 76*f + 2*f**2 - 4*f**2 - 79*f wrt f?
-4
Let s(x) be the third derivative of 0*x**6 + 0*x**4 + 0 - 2/105*x**7 + 0*x**3 + 0*x + 4*x**2 + 1/15*x**5. Find the third derivative of s(q) wrt q.
-96*q
What is the second derivative of 76*s**5 - 58*s**5 + 9*s - s wrt s?
360*s**3
Let i(z) be the third derivative of -z**8/42 + 7*z**4/24 + 7*z**2. What is the second derivative of i(r) wrt r?
-160*r**3
Let u(o) = 6*o**3 - 3*o - 3. Let g(b) = 7*b**3 - b**2 - 2*b - 2. Let d(v) = -3*g(v) + 2*u(v). Find the third derivative of d(k) wrt k.
-54
Suppose 2*d = -z + 1, 0*d + 3*z = -4*d - 1. Let h = 2 + -2. What is the second derivative of 2*y**3 + h*y - y + d*y wrt y?
12*y
Let a = 10 + -4. Let w be a/8 - (-1)/4. What is the derivative of 0*d**2 - d**2 + w + 0 wrt d?
-2*d
Let r = 1 - -3. Let c = 37 - 32. Find the second derivative of h - r*h + h - h**c wrt h.
-20*h**3
Let r = -9 + 22. Suppose 4*k + r = 3*w, -2*w - 6*k = -4*k - 4. Find the second derivative of -4*n**3 - 3*n + w*n - n + 7*n**3 wrt n.
18*n
Find the second derivative of -12*x**3 + 9*x - 5*x - 9*x wrt x.
-72*x
What is the third derivative of 170*m**4 + 10*m**2 + 14*m**6 - 170*m**4 wrt m?
1680*m**3
Let v(h) be the first derivative of -h**5/60 - h**4/8 + h**2 - 1. Let w(y) be the second derivative of v(y). What is the second derivative of w(f) wrt f?
-2
Let m(y) = y**2 - 9*y + 11. Let u be m(8). Suppose -4*r + 5 = 2*c - 5*r, u*c - 3*r - 9 = 0. Find the first derivative of -2 - 4*w**2 + c*w**2 +