is the first derivative of x(p) wrt p?
-36*p
Differentiate -51 + 28 - 25*c**3 + 3*c**3 with respect to c.
-66*c**2
Let r(q) = q**3 + 4*q**2 - 5*q + 5. Let x be r(-5). What is the derivative of 2*i - 4*i + x*i - 2 wrt i?
3
What is the first derivative of -14*l**4 + 8*l**4 + 41*l**4 - 27 wrt l?
140*l**3
Suppose 3*h = -2*n + 21, 2*n = 3*n + h - 8. Find the second derivative of -5*z + n*z**2 + 2*z**2 + 3*z**2 - 4*z**2 wrt z.
8
Let u(w) = -4*w**2 + 5*w - 11. Let j(a) = -a**2 + a - 1. Let c(i) = -5*j(i) + u(i). What is the first derivative of c(z) wrt z?
2*z
Let s = 2 - 1. Let k be 2*s*(2 + -1). What is the second derivative of 3 - k*n**5 + n - 3 wrt n?
-40*n**3
Let d(q) = 5. Let g(n) be the second derivative of n**3/6 - n. Let u(x) = -d(x) - 2*g(x). Find the first derivative of u(w) wrt w.
-2
Let x(q) be the third derivative of q**8/48 - q**4/24 - 12*q**2. Find the second derivative of x(b) wrt b.
140*b**3
Let x(q) = 7*q + 1. Suppose -14 = -3*a + 4. Let t(o) be the first derivative of -o**2/2 + 1. Let r(h) = a*t(h) + x(h). Find the first derivative of r(w) wrt w.
1
Let a(c) be the first derivative of -2 + 2*c**3 + 0*c**3 - 8*c + 11*c. Differentiate a(j) wrt j.
12*j
Find the first derivative of 2*z**4 + 2*z**4 - 2 - z**4 + 0 wrt z.
12*z**3
Let w(k) be the second derivative of -2*k**6/5 - k**3/3 - 18*k. Find the second derivative of w(x) wrt x.
-144*x**2
Let o(a) = 51*a**5 + 9*a**2 + 21*a + 21. Let v(q) = -5*q**5 - q**2 - 2*q - 2. Let d(t) = -2*o(t) - 21*v(t). Find the third derivative of d(u) wrt u.
180*u**2
Let p(j) be the third derivative of -23*j**6/120 + 29*j**4/24 - 7*j**2. Find the second derivative of p(g) wrt g.
-138*g
Let d(b) be the first derivative of b**4/4 + 5*b - 12. Find the first derivative of d(f) wrt f.
3*f**2
Let p(a) be the second derivative of -2*a**7/21 + 2*a**3/3 - 4*a. Find the second derivative of p(i) wrt i.
-80*i**3
Let s(p) be the third derivative of -p**4/6 + p**3/6 - p**2. Let c be s(-1). Differentiate c*r - 2 - r - 3*r with respect to r.
1
Find the first derivative of -2*o**2 - 5*o**2 + 6 - 2*o**2 wrt o.
-18*o
Let n(q) be the second derivative of -3*q**8/14 - 5*q**4/3 - 22*q. What is the third derivative of n(r) wrt r?
-1440*r**3
Let o(v) be the third derivative of 2*v**7/105 - 5*v**4/24 - 5*v**2. Find the second derivative of o(p) wrt p.
48*p**2
Find the second derivative of -21*n**2 - 10*n**2 + 42*n - 12*n**2 wrt n.
-86
Let f(b) = -74*b - 240. Let v(r) = 15*r + 48. Let a(g) = -3*f(g) - 14*v(g). Differentiate a(y) wrt y.
12
Differentiate 0*v - 55 + 58 + 0*v + 9*v**3 with respect to v.
27*v**2
Let a = 4 + -2. What is the second derivative of 0 + 0 - r + a*r**2 + 4*r wrt r?
4
Let w(y) be the first derivative of 0*y - y**2 - 1/3*y**3 - 4. Find the second derivative of w(i) wrt i.
-2
Suppose 0 = 4*y - 19 - 1. Find the second derivative of 2*u + 2*u**5 - 3*u**y - 3*u**5 + u**5 wrt u.
-60*u**3
Let p(n) be the second derivative of -5*n**4/3 + 5*n**3/2 - 14*n. Find the second derivative of p(q) wrt q.
-40
Find the third derivative of 8*c**4 - c**4 + 6*c**2 - 9*c**2 + c**4 wrt c.
192*c
Let g be ((-5)/(-15))/(2/6). Let r(z) = -4*z + 1. Let d(h) = -h. Let t(s) = g*r(s) - 2*d(s). Differentiate t(u) with respect to u.
-2
Suppose -2*z - z + 4*p = 3, 4*z + 2*p = 18. Let s(m) be the second derivative of -1/6*m**4 + m + 3/2*m**2 + 0*m**z + 0. Differentiate s(u) wrt u.
-4*u
Let j(c) = -44*c**4 + 9*c**3 + 48*c**2. Let i(l) = -11*l**4 + 2*l**3 + 12*l**2. Let u(m) = -9*i(m) + 2*j(m). Find the third derivative of u(q) wrt q.
264*q
Suppose 0*s + 3*s = 0. Let x(l) be the second derivative of 0*l**2 + 0*l**5 + 1/6*l**3 + l + s + 1/30*l**6 + 0*l**4. Find the second derivative of x(a) wrt a.
12*a**2
Let o(k) be the second derivative of -k**5/60 + 2*k**3/3 - 3*k**2/2 - 4*k. Let p(i) be the first derivative of o(i). What is the derivative of p(q) wrt q?
-2*q
Let z(c) = -8*c**3 + c**2 + c - 1. Let a be z(1). Let w = 9 + a. What is the second derivative of -3*d**4 - 3*d**2 + 3*d + d**2 + 2*d**w wrt d?
-36*d**2
Let j(r) be the second derivative of -r**8/280 - r**5/120 + 7*r**3/6 - 5*r. Let u(b) be the second derivative of j(b). Find the second derivative of u(t) wrt t.
-72*t**2
Let h(z) be the third derivative of -z**7/280 + z**4/24 - z**3/6 + 5*z**2. Let s(d) be the first derivative of h(d). Find the first derivative of s(p) wrt p.
-9*p**2
Let g be (-1 + 0)/((-1)/5). Differentiate g*y + 6 - 3 + 1 with respect to y.
5
Let x(o) be the third derivative of -o**7/30 + o**4/24 + 2*o**2. Find the second derivative of x(f) wrt f.
-84*f**2
Let u(z) be the third derivative of 3*z**5/20 - z**4/12 + 4*z**3/3 + 3*z**2 - 2*z. What is the second derivative of u(g) wrt g?
18
Let k(o) be the third derivative of -o**7/30 + o**5/12 + 3*o**2. What is the third derivative of k(f) wrt f?
-168*f
Let m(w) be the third derivative of 1/60*w**5 + 0*w + 0*w**4 + 5/6*w**3 + 9*w**2 + 0. Find the first derivative of m(r) wrt r.
2*r
Suppose 3*j - 17 = 106. Suppose 11 = -5*u + 36, -2*b - 5*u = -j. Find the first derivative of -b*y**2 - 1 + 2*y**3 + 8*y**2 wrt y.
6*y**2
Let c(f) = f. Let x(a) = -1. Suppose 4*j - o = -j - 16, -o + 1 = 0. Let p(t) = j*x(t) - 2*c(t). What is the first derivative of p(i) wrt i?
-2
Let o(u) = 5*u**2 + 9*u - 6. Let q(h) = -2*h - 2 + 3*h + 1. Let k(s) = -o(s) + 6*q(s). What is the second derivative of k(n) wrt n?
-10
Let w(i) be the first derivative of 3*i**5/5 - 2*i**2 - 2. What is the second derivative of w(s) wrt s?
36*s**2
Suppose -2*p = 4*r - 16, 0 = -5*p + 3 + 7. What is the second derivative of -2*w**r + 0*w + 4 - 5*w - 4 wrt w?
-12*w
Let y(c) be the third derivative of -c**5/12 + c**4/8 - 5*c**3/2 - 2*c**2 - 5*c. What is the second derivative of y(a) wrt a?
-10
Let o(s) be the first derivative of -5*s**3 + 11*s**2 + 4. What is the second derivative of o(q) wrt q?
-30
Let i(y) = 12*y**2 - 6. Let m(o) = 11*o**2 - 6. Let g(r) = 6*i(r) - 4*m(r). Find the first derivative of g(v) wrt v.
56*v
Let q(d) be the third derivative of 0*d**4 + 0 - 1/168*d**8 + 0*d + 1/20*d**5 + 0*d**7 - d**2 + 0*d**3 + 0*d**6. Find the third derivative of q(b) wrt b.
-120*b**2
Let l(p) be the third derivative of 5*p**4/12 - p**3/2 + 5*p**2. Differentiate l(g) wrt g.
10
Let t(g) = -g**2. Let v(p) = -8*p**2 - 12. Let i(k) = -6*t(k) - v(k). Differentiate i(w) with respect to w.
28*w
Let y(g) be the second derivative of 5*g + 0 - g**3 - 2/3*g**4 + 0*g**2. What is the second derivative of y(n) wrt n?
-16
Suppose -2*p = -p - 2. Suppose -5*b + 17 = p. What is the third derivative of -b*z**2 + 4*z**2 + z**6 + 0*z**2 wrt z?
120*z**3
Let j(q) be the third derivative of -q**5/60 + q**4/24 + q**3/3 + q**2. Let a be j(0). Find the second derivative of 7*z**2 - z**2 - 3*z**a + 0*z**2 + z wrt z.
6
Let f(d) = -d**4 - d**3. Let l(b) = 2*b**4 - 2*b**3 + 10*b**2. Let i(q) = 2*f(q) - l(q). What is the third derivative of i(o) wrt o?
-96*o
Let j(p) = -2*p - 2. Let a be j(-3). Find the first derivative of 0*i**4 - 6 - 4*i**a + 5 wrt i.
-16*i**3
Let a(q) = -q + 2. Suppose 5*i - 5 = -2*g + 5*g, -3*i + 3 = -3*g. Let y be a(g). What is the second derivative of s + 3*s**5 - s**5 - y*s wrt s?
40*s**3
Suppose 3*m = -3*y - 6, -y + 2*m = -0*m - 13. Find the first derivative of -100*n**2 - 7*n**3 + 100*n**2 + 4 - n**y wrt n.
-24*n**2
Let r(o) be the first derivative of o**7/210 + 5*o**3/6 - o**2 - 3. Let f(p) be the second derivative of r(p). What is the first derivative of f(k) wrt k?
4*k**3
Let l = 3 - -2. Let v be (0 - l)*1/(-1). Find the third derivative of -2*z**4 - 2*z**4 - 3*z**2 + v*z**4 wrt z.
24*z
Let m(z) = -2 + 5*z**2 + 0*z**2 + 4*z + 2*z**2. Let s(d) = d. Let o(p) = m(p) - 4*s(p). Differentiate o(y) with respect to y.
14*y
Let u(p) = -25*p**5 - 9*p**4 - 17*p + 9. Let a(c) = 6*c**5 + 2*c**4 + 4*c - 2. Let j(o) = 18*a(o) + 4*u(o). Find the second derivative of j(y) wrt y.
160*y**3
Suppose 2*v - 1 = 3. Let s = -2 + 4. Find the third derivative of 2*d**v + 2*d**2 - s*d**2 - 2*d**3 wrt d.
-12
Let b = 40 + -40. Let t(g) be the third derivative of 1/8*g**4 + b + 3*g**2 + 1/2*g**3 + 0*g. Differentiate t(c) with respect to c.
3
Let u(g) = -6*g**3 + 9*g. Let t(d) = d**3. Let c(o) = 5*t(o) + u(o). Find the second derivative of c(y) wrt y.
-6*y
Let i(f) be the third derivative of f**9/56 + f**5/30 + 2*