derivative of 3*r**c - 3*r + 0*r + 5*r wrt r.
6
Let z(f) = -10*f**4 + 5*f**2 - 18. Let a(h) = -9*h**4 + 4*h**2 - 17. Let j(y) = 5*a(y) - 4*z(y). Differentiate j(i) with respect to i.
-20*i**3
Suppose -o + 6 = o. Suppose -o*v + 2*m + 3*m - 4 = 0, v - 2*m = -2. Find the second derivative of -v*s**3 + 0*s**3 - s**3 + 3*s wrt s.
-18*s
Let x be (-3 + 2)*1*-5. Suppose -15 = -3*y - x*s, -5*y = -2*s + 5 + 1. What is the second derivative of -4*h + 0 + 2*h + y + h**4 wrt h?
12*h**2
Let g(b) be the first derivative of -4*b**3 - 5*b**2/2 - 2. What is the second derivative of g(d) wrt d?
-24
Let i(f) be the second derivative of f**5/5 - 2*f**3/3 + 14*f. Find the second derivative of i(m) wrt m.
24*m
Differentiate 5 + 3*c**2 + 6 + 2*c**2 wrt c.
10*c
Let d(f) = 2*f**4 - 3*f**3 - 1. Let i(o) = -3*o**4 + 2*o**3. Let r(q) = 4*d(q) + 6*i(q). Differentiate r(t) with respect to t.
-40*t**3
What is the third derivative of -10*z**5 - 14*z**2 - 9 - z**4 - 5*z**5 + 6*z**5 + 16*z**2 wrt z?
-540*z**2 - 24*z
Suppose 0 = -t - x + 31, -3*x + 66 = 2*t - 2*x. Differentiate t*a**2 - 3 - 4*a**3 - 35*a**2 with respect to a.
-12*a**2
Find the second derivative of -5*d**3 - d + 14*d - 3*d wrt d.
-30*d
Let o(m) = -84*m**4 + 7*m - 45. Let i(u) = -56*u**4 + 5*u - 30. Let d(v) = -7*i(v) + 5*o(v). Find the first derivative of d(f) wrt f.
-112*f**3
Let d(l) = 36*l + 30. Let f(z) = 7*z + 6. Let m(k) = 3*d(k) - 16*f(k). Find the first derivative of m(t) wrt t.
-4
Let r(m) be the second derivative of 2*m**6/15 - 3*m**2 + 5*m. Find the first derivative of r(y) wrt y.
16*y**3
Let q(o) = 2*o**2 + o. Let g be q(0). Let z(k) be the second derivative of 1/2*k**3 + g + k - 1/2*k**2. What is the derivative of z(m) wrt m?
3
Let d = 26 - 13. Find the third derivative of -7*m**2 - 7*m**5 - d*m**2 + 14*m**2 wrt m.
-420*m**2
Let a be ((-4)/(-12))/(2/18). What is the third derivative of -p**2 + p**2 - p**2 + a*p**4 - 2*p**2 wrt p?
72*p
Let x = -3 + 7. Suppose -2*b = -z + 2 - x, -b = 3*z - 8. Differentiate 5*j**b + 3 - 2*j**2 - 2*j**2 wrt j.
2*j
Let m(g) = -g**2 + 4*g + 2. Let o be m(4). What is the second derivative of -3*y + 2*y**2 + y**5 - o*y**2 + 0*y wrt y?
20*y**3
Let l(f) = -3*f**2 - 5*f**2 + 6*f + f**3 + 2*f**2 - 5. Let x be l(5). What is the third derivative of x*z**2 + 3*z**4 + z**2 - 2*z**4 wrt z?
24*z
Let w(v) be the third derivative of -v**6/180 - v**4/8 - v**3/2 - 2*v**2. Let c(k) be the first derivative of w(k). What is the first derivative of c(q) wrt q?
-4*q
Let k(m) = 4*m**6 - 5*m**4 + 23*m**2. Let h(v) = 3*v**6 - 6*v**4 + 24*v**2. Let t(s) = 5*h(s) - 6*k(s). What is the third derivative of t(c) wrt c?
-1080*c**3
Differentiate -9*g**3 + 7 - 10*g**3 + 4 with respect to g.
-57*g**2
Let w(u) = 2*u**3 + 2*u**2 - 1. Let c be w(1). Let i(p) be the second derivative of 2*p + p**2 + 0 + 1/6*p**c. Differentiate i(h) wrt h.
1
Let p(x) = x**3 - x**2 - x - 1. Let j(r) = -5*r**3 + 4*r**2 + r + 4. Let h(n) = -5*j(n) - 20*p(n). Find the second derivative of h(g) wrt g.
30*g
Let z(p) = 2*p**2 - 9. Let a(o) = -1. Let g(x) = -2*a(x) + z(x). What is the first derivative of g(d) wrt d?
4*d
Let v = -25 - -25. Let k(r) be the second derivative of 0 + 0*r**3 + 3/2*r**2 + 2*r - 1/30*r**6 + 0*r**5 + v*r**4. What is the derivative of k(h) wrt h?
-4*h**3
Suppose -5*x + 9 = -11. Differentiate x - y - 2*y - 2*y**2 + 3*y with respect to y.
-4*y
Let j(i) be the third derivative of -i**7/105 - 5*i**4/12 + 3*i**2. Find the second derivative of j(q) wrt q.
-24*q**2
Find the second derivative of -5*l + 4*l**5 - 14*l**3 - 2 + 15*l**3 + 7 - 6 wrt l.
80*l**3 + 6*l
Let d(j) be the third derivative of -j**4/24 + j**3 + 2*j**2. Let n be d(4). Find the third derivative of 2*c**4 + 2*c**4 - 6*c**4 + 2*c**n wrt c.
-48*c
Let c(v) be the second derivative of v**5/5 + 5*v**2/2 - 5*v. Differentiate c(b) with respect to b.
12*b**2
What is the third derivative of -27*a**2 - 34*a**3 - 13*a**3 - 24*a**2 wrt a?
-282
Let j = -18 + 18. Let h(s) be the third derivative of j*s + 0*s**4 + s**2 + 1/60*s**5 + 1/3*s**3 + 0. Differentiate h(g) with respect to g.
2*g
Suppose 0 = -7*y + 4*y + 6. What is the second derivative of s**2 + 4*s + 6*s**y + 2*s**3 - 7*s**2 wrt s?
12*s
Suppose 5*f - 31 = -2*l, -3 + 23 = 4*f. Suppose -6*r - r = -49. Find the third derivative of -3*t**3 + 8*t**3 + l*t**2 - r*t**3 wrt t.
-12
Let n(r) = 90*r**4 - 25*r**3 + 55*r. Let a(c) = 15*c**4 - 4*c**3 + 9*c. Let u(x) = 25*a(x) - 4*n(x). Find the second derivative of u(w) wrt w.
180*w**2
Let f(d) be the third derivative of 13*d**6/60 - 5*d**4/24 + 23*d**2. Find the second derivative of f(o) wrt o.
156*o
Let t = 9 + -6. Find the second derivative of 0*z - z - 4*z**3 + 8*z**t wrt z.
24*z
Differentiate 3*r - 17 - 3*r + 2*r**4 + 13*r**4 wrt r.
60*r**3
Let u be 45/(-5)*(-3)/9. Differentiate v**3 - 4*v**3 + 8 - v**3 - 2*v**u wrt v.
-18*v**2
Let t(m) be the third derivative of 0*m + 0*m**4 + 1/105*m**7 + 0*m**6 + 2*m**2 + 0*m**3 + 0 - 1/12*m**5. What is the third derivative of t(c) wrt c?
48*c
Suppose 0 = -0*r + 2*r + 2. Let l be r - 1/(1/(-4)). Find the third derivative of -y**l + y**2 - 3*y**2 + 0*y**3 wrt y.
-6
Suppose -3 = l - 2*b, -l + b = -4*b + 15. Find the third derivative of 3*w**2 + l*w**2 + 3*w**4 - 13*w**2 - 11*w**4 wrt w.
-192*w
Find the third derivative of -63*q**3 - 15*q**6 + 28*q**2 + 63*q**3 wrt q.
-1800*q**3
Suppose -4*v - 8 + 28 = 0. Let z be 1*3*(-16)/(-24). Find the third derivative of 2*q**2 - 3*q**z - q**v + 0*q**5 wrt q.
-60*q**2
Let y(k) = -2 + 2*k + 2*k - 10. Let c(m) = -m + 4. Let i(u) = -16*c(u) - 5*y(u). What is the first derivative of i(j) wrt j?
-4
Let v(q) = -q**3 + 3*q**2 - 7. Let r(x) = -27 + 10 + 23*x**2 + 11*x**2 - 61 - 12*x**3. Let w(p) = -6*r(p) + 68*v(p). What is the derivative of w(h) wrt h?
12*h**2
Find the third derivative of 19*x**3 + 17*x**6 + 43*x**2 - 16*x**3 - 42*x**2 wrt x.
2040*x**3 + 18
Let l(k) = -k**3 - 6*k**2 - k - 4. Let x be l(-6). Find the second derivative of 2*m**3 + 2*m**3 + 4*m**3 + m + x*m wrt m.
48*m
Let v be 8*3*(-4)/(-24). What is the derivative of 5 + 0 - v*d**3 - d**3 - 1 wrt d?
-15*d**2
Let t(z) = -2*z**3 + 4*z**2 + 2*z. Let a(d) = -5*d + 3*d**3 - 5*d**2 - 8*d**2 + 4*d**2. Let n(j) = 2*a(j) + 5*t(j). Find the third derivative of n(l) wrt l.
-24
Let n(z) be the first derivative of -z**7/210 - z**6/120 + 4*z**3/3 - 1. Let q(f) be the third derivative of n(f). Find the third derivative of q(s) wrt s.
-24
Let z(t) be the second derivative of t**4/6 - 4*t**3 + 36*t. What is the second derivative of z(l) wrt l?
4
What is the third derivative of -2*p**4 - 31*p**2 - 17*p**2 + 25*p**2 - 43*p**3 wrt p?
-48*p - 258
Suppose 3*k - 6*k + 6 = 0. What is the third derivative of -2*p**3 + k*p**2 + 5*p**2 - p**2 - 3*p**3 wrt p?
-30
Let m = 10 - 10. Let p(v) be the third derivative of v**2 + m + 0*v + 1/6*v**3 - 1/24*v**4. Differentiate p(y) with respect to y.
-1
Let h = 15 + -13. Differentiate -5*p**2 - 2*p**2 - 6*p**4 - h + 7*p**2 wrt p.
-24*p**3
Let f(i) be the first derivative of -16*i**2 - 21*i + 26. Find the first derivative of f(d) wrt d.
-32
Suppose 2*u + 2 = 3*u. Suppose -b = -5*c + 1, -c = -6*c - u*b + 13. What is the derivative of 0*r**3 - 4 + r**3 + c wrt r?
3*r**2
Let a(h) be the second derivative of -h**9/5040 + h**5/40 - h**4/12 + 2*h. Let v(t) be the third derivative of a(t). What is the first derivative of v(r) wrt r?
-12*r**3
Let g = 15 + -9. What is the third derivative of 6*n - g*n + n**4 + n**2 wrt n?
24*n
Let r(g) be the third derivative of 37*g**7/210 - 5*g**4/12 + 15*g**2. Find the second derivative of r(z) wrt z.
444*z**2
Let l(i) = i**2 + 5*i - 3. Let j be l(-6). Let a = j + 1. Find the first derivative of -4 + 3 - 3*p**4 + 2*p**a wrt p.
-4*p**3
Let f(m) be the second derivative of -3*m**5/20 - 11*m**4/6 - 28*m. What is the third derivative of f(q) wrt q?
-18
Let q(w) = -6 - 2 + 3 - w. Let g be q(-6). What is the first derivative of 3*x - 1 - x - g wrt x?
2
Suppose 2*x + 2*d = -x - 8, 3*x - 5*d = 20. Let j be (1/2 + x)*4. What is the second derivative of -j*r - 4*r**2 + 4*r**2 - 2*r**5 wrt r?
-40*r**3
Let s be 6/27 - (-4)/(-18). Let v(t) be the second derivative of 0 + s*t**4 + 3/2*t**2 - t - 1/10*t**5 + 0*t**3. What is the derivative of v(b) wrt b?
-6*b**2
Let s be (-300)/(-70) + 4/(-14). Find the sec