- 2. Let f(u) = 1. Let n(h) = d*f(h) + 2*w(h). What is the derivative of n(p) wrt p?
-4*p
Find the second derivative of 6*m**4 - 9*m + 2*m**2 + 0*m**2 - 2*m**2 wrt m.
72*m**2
Let x = 1 + 4. Find the first derivative of -1 - 3*p**4 - 5*p**3 + x*p**3 + 3 wrt p.
-12*p**3
Let c(m) = m**5 - 1. Let s(d) = -3*d**5 + 6*d + 2. Let p(r) = -2*c(r) - s(r). Find the second derivative of p(f) wrt f.
20*f**3
Suppose -5*s + 11 + 14 = 0. Suppose i - 4*a + 6 = -8, -s*i - 3*a + 22 = 0. Find the third derivative of 3 - 6*j**i - 3 + j**3 + 3*j**2 wrt j.
6
Suppose -2*g = 2 - 8, -4*w + 3*g + 3 = 0. Differentiate -8*a - 2*a**3 + w + 8*a wrt a.
-6*a**2
Let h(c) be the first derivative of 7*c**4/4 + 8*c**3/3 + 4. Find the third derivative of h(o) wrt o.
42
Let f(n) = n**3 + 11*n**2 + 10*n + 5. Let a be f(-10). Find the first derivative of -b**4 + 1 + a*b**4 + 0 - 2*b**4 wrt b.
8*b**3
Let b = -8 + 9. Let l = 5 - 3. Find the first derivative of -4*q - 2*q**l - b + 4*q wrt q.
-4*q
Let t(a) = 9*a - 9. Let j be 2/4 + (-108)/8. Let m(l) = -19*l + 18. Let w(z) = j*t(z) - 6*m(z). Differentiate w(s) with respect to s.
-3
Suppose 2*q + 9 = 5*q. Let h(t) = q*t - 7*t + t**4 - 3*t. Let r(i) = i. Let b(d) = -h(d) - 5*r(d). What is the second derivative of b(j) wrt j?
-12*j**2
Suppose 0 = -2*c - c + 6. Let a(t) = 5*t**4 - t**2 - 2. Let g(f) = -16*f**4 + 3*f**2 + 7. Let y(m) = c*g(m) + 7*a(m). Find the third derivative of y(j) wrt j.
72*j
Let r(n) = -53*n**3 + 17*n + 11. Let v(o) = -9*o**3 + 3*o + 2. Let h(m) = 6*r(m) - 34*v(m). What is the derivative of h(k) wrt k?
-36*k**2
Let y be 6/(-48)*(-2)/30. Let g(v) be the third derivative of 0*v + 0*v**3 + 1/60*v**5 + 0*v**4 - y*v**6 + 2*v**2 + 0. Find the third derivative of g(i) wrt i.
-6
What is the first derivative of 6 + r**4 + 9*r**4 - 17*r**4 wrt r?
-28*r**3
Find the third derivative of -31*p**2 + 30*p**2 - p**6 + 3*p**6 wrt p.
240*p**3
Let y = -3 - -8. What is the second derivative of 0*q**y + 3*q**2 + 3*q**5 - 3*q**2 - 3*q wrt q?
60*q**3
What is the second derivative of 8*m**3 + 12*m**3 + 42*m - 18*m**3 wrt m?
12*m
Let p = 0 + 2. Suppose p*u - 20 = -3*u. What is the third derivative of -2*r**2 + 3*r**2 - r**4 + 3*r**u wrt r?
48*r
Let h(z) = -3*z**2 + 7*z - 7. Let w(n) = n**2 - 4*n + 3. Let m(j) = -4*h(j) - 7*w(j). Find the first derivative of m(k) wrt k.
10*k
Let q(l) = 8*l**4 - 3*l**3 - 1. Let y(h) = 9*h**4 - 4*h**3 - 2. Let d(j) = 4*q(j) - 3*y(j). What is the first derivative of d(c) wrt c?
20*c**3
Suppose 2*o + 0*o - 6 = 0. What is the third derivative of -2 + o*k**4 + 0*k**2 + 2*k**2 + 2 wrt k?
72*k
Let i(c) be the second derivative of -57*c**5/20 + c**3/3 - 3*c - 3. What is the second derivative of i(a) wrt a?
-342*a
Let f(a) = -3 - 3 + a**3 + 3 + 9*a - 9*a**2. Let d be f(8). What is the second derivative of -b + b**d + 2*b**5 - b**5 wrt b?
40*b**3
Let h(b) = -b**2 + 8*b - 14. Let d be h(4). Let j(g) be the first derivative of 3/2*g**2 + d + 3*g. What is the derivative of j(n) wrt n?
3
Let q(u) be the first derivative of -u**4/2 - 2*u**3/3 + u - 2. Let l(n) = -n**2. Let m(g) = 2*l(g) - q(g). What is the derivative of m(t) wrt t?
6*t**2
Let x(c) = -7*c**3 + 13*c**2 + 13*c - 1. Let h(g) = -4*g**3 + 6*g**2 + 6*g - 1. Let d(o) = -13*h(o) + 6*x(o). Differentiate d(y) wrt y.
30*y**2
Let d(i) = -i**2 - 6*i + 4. Let f(w) = -6*w + 3. Let o = 14 + -11. Let l(a) = o*d(a) - 4*f(a). What is the second derivative of l(y) wrt y?
-6
Suppose 5 - 9 = -i. Differentiate 11 - 19 + n**i + 5 with respect to n.
4*n**3
Let c(l) = -3*l**3 - l**2. Let x(s) = -2*s**3. Let h(k) = -2*c(k) - 2*x(k). What is the third derivative of h(v) wrt v?
60
Let v(f) = f**4 + f**3 - f - 1. Let g(p) = -5*p**6 - 4*p**4 - 4*p**3 - 41*p**2 + 4*p + 4. Let n(z) = -g(z) - 4*v(z). What is the third derivative of n(q) wrt q?
600*q**3
Let b(x) be the first derivative of 2*x**2 - 2*x - 2. Let z(g) = -11*g + 6. Let h(k) = -8*b(k) - 3*z(k). What is the first derivative of h(o) wrt o?
1
Let j(k) = 2*k**3 + 4*k**2 + 2*k. Let v be j(-2). Let o = 0 - v. Find the third derivative of d**2 + 9*d**4 - 7*d**4 - 4*d + o*d wrt d.
48*d
Let f(d) be the first derivative of -3*d**7/7 - 8*d**3/3 + 18. Find the third derivative of f(x) wrt x.
-360*x**3
Suppose 3*x + 3*r - 11 = 2*r, -x + 2*r - 8 = 0. Suppose -x*h = 2*h - 12. What is the derivative of -4*t**2 + 3*t**2 - 1 + h*t**2 wrt t?
4*t
Find the first derivative of 18*a**2 + 8*a**2 + 17 - a - 27*a**2 wrt a.
-2*a - 1
Let d = 5 - 2. Find the second derivative of -2*v**2 - 4*v**2 + v + v**2 + d*v**2 wrt v.
-4
Let k(x) = 32*x**3 + x**2 - x - 40. Let c(z) = z**3 - z**2 + z - 1. Let t(n) = -c(n) - k(n). Differentiate t(o) wrt o.
-99*o**2
Suppose -4*m = 3*l - 20, -2*m + 5*m + 5*l = 26. Find the first derivative of 9 - 11 + 3*s**3 + m*s**3 wrt s.
15*s**2
Let p be 0*2/6*1. What is the second derivative of 4*f**4 + p*f - f + 3*f wrt f?
48*f**2
Let i be (2 + -3 + 1)/(-2). What is the third derivative of -2*x**2 - 7*x**5 + i*x**5 + x**5 + 2*x**5 wrt x?
-240*x**2
Let u(a) be the second derivative of 0*a**3 - 7/2*a**2 - 1/10*a**6 + 0*a**5 + 0*a**4 - 9*a + 0. Differentiate u(r) wrt r.
-12*r**3
Let o be 2 + (-1)/((-2)/2). Let f = 2 + o. Find the third derivative of 2*k**f + 2*k**5 - 2*k**5 - 2*k**2 wrt k.
120*k**2
What is the first derivative of -4*g + 4 - 8*g + g - 3*g wrt g?
-14
Differentiate -25 + 0*a + 20*a + 17 wrt a.
20
Let w = 22 + -18. Differentiate -30 + 36 - s**3 - w*s**3 with respect to s.
-15*s**2
Let l(b) be the second derivative of -5*b**4/12 + b**2 - 7*b. Find the first derivative of l(w) wrt w.
-10*w
Let m = 48 - 43. Let o(z) be the third derivative of 0 + 0*z + 2*z**2 + 0*z**m + 1/3*z**3 - 1/40*z**6 + 0*z**4. Differentiate o(l) wrt l.
-9*l**2
Let b(l) be the first derivative of 0*l - 1 - 1/2*l**2 + 0*l**4 - 1/2*l**6 + 0*l**3 + 0*l**5. What is the second derivative of b(c) wrt c?
-60*c**3
Let r(h) be the first derivative of 0*h + 5/2*h**2 + 0*h**4 + 1/5*h**5 - 2 + 0*h**3. Find the second derivative of r(t) wrt t.
12*t**2
Find the third derivative of 27*p**5 + 39*p**2 - 9*p**5 - 5*p**5 wrt p.
780*p**2
What is the second derivative of 33*b - 7 - 19*b**2 - 63*b + 32*b wrt b?
-38
Let o(d) be the second derivative of -7*d**4/12 - 3*d**2/2 - d. What is the first derivative of o(r) wrt r?
-14*r
Find the third derivative of -5*t**4 - 6*t + 3*t**2 + 6*t wrt t.
-120*t
Let v(x) be the second derivative of x**3/6 + 3*x**2 + 4*x. Find the first derivative of v(y) wrt y.
1
Suppose 0 = -3*p + 6 + 9. Find the second derivative of 2*f**5 + 24 - 24 + p*f - f**5 wrt f.
20*f**3
Find the third derivative of -4*c**5 + 0*c**5 - 3*c**2 - c**2 - 3*c**2 wrt c.
-240*c**2
Let k(s) be the second derivative of 1/12*s**4 - 3/20*s**5 + 0 + 3*s + 0*s**2 + 0*s**3. What is the third derivative of k(g) wrt g?
-18
Let r(o) be the second derivative of 23*o**5/20 - 7*o**2/2 + 19*o. What is the first derivative of r(y) wrt y?
69*y**2
Let v(g) be the second derivative of 0*g**2 - 1/42*g**7 + 0 + 1/6*g**3 + 0*g**4 + 0*g**5 + 0*g**6 - 3*g. What is the second derivative of v(d) wrt d?
-20*d**3
Let h(o) be the third derivative of 7*o**4/8 - 17*o**3/6 + 6*o**2. What is the derivative of h(b) wrt b?
21
Suppose 1 = 2*b - 3. Find the third derivative of -3*y**2 + 5*y**2 - b*y**6 - 3*y**6 wrt y.
-600*y**3
Let r(d) be the second derivative of -1/12*d**4 + 3/2*d**2 + 2*d + 0 + 0*d**3. What is the derivative of r(y) wrt y?
-2*y
Let p(u) be the first derivative of 27*u**7/7 + u**4/4 - u**3/3 - 16*u - 36. What is the third derivative of p(a) wrt a?
3240*a**3 + 6
Let a(i) be the third derivative of 0*i**3 - 1/30*i**5 + 0*i**6 + 0*i + 0 - 3*i**2 + 0*i**4 + 1/105*i**7. Find the third derivative of a(j) wrt j.
48*j
Let m(o) be the second derivative of -o**5/5 - o**3/6 - o. Find the second derivative of m(i) wrt i.
-24*i
Let l = 2 + 2. Suppose 2*o + 6 = l*j - 3*o, -28 = -5*j - 4*o. Find the third derivative of 2 - 2 + b**2 - 2*b**j wrt b.
-48*b
Suppose j - 23 = -5*m, -3*m = -2*j - m - 2. Find the third derivative of -5*f**3 - 4 + 4 - 2*f**j - 4*f**2 wrt f.
-42
Let o(k) = -11*k**3 - 11*k**2 + 3*k + 3. Let r(p) = -34*p**3 - 34*p**2 + 8*p + 8. Let l(y) = -8*o(y) + 3*r(y). Find the third derivative of l(s) wrt s.
-84
Find the second derivative of -24*s - 127*s**3 - 173*s**3 + 342*s**3 wrt s.
252*s
What i