*3 + 21. Let f(x) = x**4 + x**3 + 1. Let z(n) = 3*f(n) - s(n). Differentiate z(y) with respect to y.
-28*y**3
Let b(n) be the third derivative of -5*n**7/42 - 13*n**5/20 - 42*n**2. Find the third derivative of b(p) wrt p.
-600*p
Let h(k) be the first derivative of 11*k**6/2 + 13*k**2/2 - 38. What is the second derivative of h(a) wrt a?
660*a**3
Suppose 0 = 2*k + k + 45. Let l(n) = n - 1. Let o(j) = 6*j - 4. Let v(s) = k*l(s) + 3*o(s). What is the derivative of v(z) wrt z?
3
What is the second derivative of 6*z**4 + 192*z - 184*z + 10*z**4 wrt z?
192*z**2
Let s be (-141)/(-27) - 2/9. Differentiate 3 - 6*n**2 - s*n**2 + 8*n**2 with respect to n.
-6*n
Suppose -2*u - 8 = 2, 0 = -3*b + u + 8. Let y(q) = 4*q**2 - q - 2. Let z be y(-1). What is the derivative of -2*f**2 + z*f**2 + 2*f**2 - f**2 - b wrt f?
4*f
Suppose 5*j = -5*r - 5, 0 = j + j + 3*r + 7. What is the derivative of -j + 7*s + 6 - 2*s wrt s?
5
Let h(x) = x**3 - 6*x**2 - x + 8. Let f be h(6). Find the third derivative of -3*y**f + y**2 - 2*y**2 - 3*y**4 wrt y.
-72*y
Let d(v) be the second derivative of -5*v**7/42 - v**4/3 + 2*v. What is the third derivative of d(c) wrt c?
-300*c**2
Let p(l) be the second derivative of 7*l**4/12 + 9*l**2/2 - 2*l. Differentiate p(o) wrt o.
14*o
Let a(h) = -h + 0 - 3 - 2*h. Let i(k) = -k. Let w(d) = a(d) - i(d). Differentiate w(x) wrt x.
-2
Suppose 0 = 3*g - 7 - 8. Suppose -o - 2*c = 6, g*c + 26 - 1 = 0. Find the third derivative of 12 + l**o - 12 + 2*l**2 wrt l.
24*l
Let h(y) be the first derivative of y**7/30 - 2*y**3/3 - 3*y**2 + 3. Let v(d) be the second derivative of h(d). Find the first derivative of v(n) wrt n.
28*n**3
Let j(o) = 126*o - 106. Let k(w) = 25*w - 21. Let f(p) = -2*j(p) + 11*k(p). Differentiate f(s) with respect to s.
23
Let y(g) = -3*g + 5*g - 3*g**2 + 2 - 2*g. Let r(f) = f**3 + 4*f**2 - 2. Let u = -1 + -2. Let x(b) = u*r(b) - 4*y(b). Differentiate x(w) wrt w.
-9*w**2
Let s(z) be the second derivative of -z**5/4 - 2*z**2 + z. Differentiate s(l) with respect to l.
-15*l**2
Suppose 5*z + 0*z - 15 = 0. What is the first derivative of 6*k**z - 2*k**3 + 2 - k**3 wrt k?
9*k**2
Let f(o) be the second derivative of 0*o**2 + 2*o + 0*o**4 + 0 + 1/21*o**7 - 1/2*o**3 + 0*o**5 + 0*o**6. What is the second derivative of f(d) wrt d?
40*d**3
Suppose -v - 14 = -4*b, 3*v + 6 = 4*v + b. What is the third derivative of -5*w**v + 5 - 7*w**3 + 3*w**3 - 5 wrt w?
-24
Let r(b) be the first derivative of 19*b**4/4 + 38*b - 21. Differentiate r(c) wrt c.
57*c**2
Let q(l) be the second derivative of 1/4*l**4 + 0*l**2 + 0*l**3 + 0*l**6 + 0*l**5 + 0*l**7 + 3/56*l**8 + 0 + l. Find the third derivative of q(y) wrt y.
360*y**3
Let z(q) = q**2 - 3. Suppose 4*x = -2*u + 44, -5*u + x + 24 = -42. Let a(o) = -7 + 9 - 4*o**2 + 8. Let r(d) = u*z(d) + 4*a(d). Differentiate r(v) wrt v.
-4*v
Find the second derivative of -9*f**4 - 2*f**3 + 4*f + f**4 + 2*f**3 wrt f.
-96*f**2
Let m(i) be the second derivative of i**6/20 + i**5/60 + 5*i**2/2 - 2*i. Let n(s) be the first derivative of m(s). What is the third derivative of n(b) wrt b?
36
Let o = -18 - -22. Differentiate -12 + o + f**3 - 2*f**3 wrt f.
-3*f**2
Suppose -10 = 2*w - 0. Let i be w/10*(-3 + -1). Find the second derivative of 3*t**3 + i*t**3 - 2*t**3 + 0*t - 2*t wrt t.
18*t
Let w(b) = 5*b + 4. Let v(h) = -20 - 17*h + 0 - 8*h - h. Let o(j) = -2*v(j) - 11*w(j). Find the first derivative of o(p) wrt p.
-3
Suppose -5*g + 3*s = -26, g + 2 = 2*s - 5*s. Suppose -15 = -4*l - l. What is the third derivative of 2*m**2 + 2*m**3 - 6*m**3 + 6*m**l - g*m**2 wrt m?
12
Let u(b) = -6*b**3 + 13*b**2 + 6*b + 6. Let a(x) = 19*x**3 - 38*x**2 - 17*x - 17. Let z(g) = 6*a(g) + 17*u(g). Find the third derivative of z(t) wrt t.
72
Let p be (-1)/(-3) + 15/(-45). Let r(g) be the third derivative of 0 - 1/12*g**4 + g**2 + p*g**3 + 0*g + 1/60*g**5. What is the second derivative of r(x) wrt x?
2
Let d(o) be the second derivative of 3*o**6/10 + 17*o**2/2 - 12*o. Differentiate d(r) wrt r.
36*r**3
Find the second derivative of -9*q**2 + 6*q**5 + 3*q**2 + 3*q + 6*q**2 wrt q.
120*q**3
Let j = -23 + 27. Find the second derivative of 7*w - 7*w**4 + w**4 + 0*w**4 + 4*w**j wrt w.
-24*w**2
Let l(s) be the second derivative of -s**6/90 + s**5/40 + s**3/3 + 4*s. Let t(g) be the second derivative of l(g). What is the second derivative of t(k) wrt k?
-8
Suppose 2*j + 2 = 3*j. Suppose 4*l = -j*c + 16, 2*l - 5*c - 2 = -2*l. What is the second derivative of -u**3 - 3*u + u**3 + l*u**3 - 2*u**3 wrt u?
6*u
What is the first derivative of 45*z - 2*z**2 - 45*z - 6*z**2 + 17 wrt z?
-16*z
Let i(c) be the second derivative of -c**7/30 + 5*c**4/24 - c**2/2 - 5*c. Let s(z) be the first derivative of i(z). What is the second derivative of s(n) wrt n?
-84*n**2
Let j be 5*(-4 + 46/10). Suppose -1 = -2*r + 3. Find the second derivative of p**j + p - p**r + p**2 wrt p.
6*p
Suppose 2*h + 2*u = 10, 4*h = -3*u - 0*u + 15. Suppose 0 = -v + 2 - h. What is the second derivative of -10 + 10 + v*s**2 + 2*s wrt s?
4
Let b(o) be the second derivative of 0*o**3 + 1/10*o**5 - 1/12*o**4 + 0 - 2*o + 0*o**2. Find the third derivative of b(q) wrt q.
12
What is the first derivative of -28*p + 2*p**2 + 47 - 14*p + 27*p wrt p?
4*p - 15
Let t(p) be the first derivative of -9*p**2/2 + 7*p - 7. What is the derivative of t(o) wrt o?
-9
Let j(r) be the third derivative of 0*r**5 - 1/70*r**7 - 7*r**2 + 0 + 0*r**6 + 0*r**4 + 7/6*r**3 + 0*r. What is the derivative of j(k) wrt k?
-12*k**3
Let c(u) = u - 3. Suppose 8*a = 4*a + 4. Let p be 26/4 - a/2. Let x(m) = 3*m - 8. Let f(t) = p*x(t) - 17*c(t). Differentiate f(d) with respect to d.
1
Let a = -14 + 14. Let l(r) be the third derivative of 0*r**4 + r**2 + a + 0*r + 1/30*r**5 + 1/6*r**3. What is the derivative of l(c) wrt c?
4*c
Let z = 17 - 14. Let p(g) be the third derivative of 1/3*g**z + 0*g + 0 - 2*g**2 + 1/24*g**4. Differentiate p(b) with respect to b.
1
Suppose 8 = 5*k - k. Find the second derivative of -8*l**k + 11*l**2 - l**2 + 5*l wrt l.
4
Suppose -26 = -5*t - 2*b - 0*b, 9 = 3*b. Differentiate -1 + 6 - 2 - d**t with respect to d.
-4*d**3
Let c(l) = 3*l**3 - 9. Let h be 0 + (-9)/(-6)*-2. Let p(m) = -m**3 + 4. Let n(f) = h*c(f) - 5*p(f). Differentiate n(a) with respect to a.
-12*a**2
Let y(z) = -14*z**6 - 15*z**2. Let j(a) = a**6 + a**2. Let k(u) = -3*j(u) - y(u). Find the third derivative of k(q) wrt q.
1320*q**3
Suppose 6*z + l = 2*z + 11, -l + 7 = 3*z. Suppose -3*a - 4 = u - 2, z*a = 2*u - 6. Find the first derivative of -u - p + p + p wrt p.
1
Find the second derivative of 6*n - 4*n - 7*n**5 + 2*n wrt n.
-140*n**3
Let u(v) = v + 1. Let f(c) = -20*c**2 - 19*c - 6. Let b(w) = -f(w) - 6*u(w). Find the second derivative of b(s) wrt s.
40
Suppose 6*j - 6 = -0*j. Differentiate 0*u**4 - j + 4 + 0 - 8*u**4 wrt u.
-32*u**3
Let k(w) be the second derivative of -3*w**4/2 - 29*w**3/6 + 14*w. Find the second derivative of k(i) wrt i.
-36
Suppose 1 = -4*r + 9. Let z be (2 - (r + 0))/2. Find the second derivative of 0*a**4 + z*a + 2*a**4 + 2*a wrt a.
24*a**2
Let d(w) be the first derivative of -w**8/1680 - w**5/30 + 8*w**3/3 + 10. Let c(l) be the third derivative of d(l). What is the second derivative of c(b) wrt b?
-12*b**2
What is the third derivative of -9*s**3 - 50*s**2 + 2*s**6 - s**6 + 0*s**6 + 19*s**2 wrt s?
120*s**3 - 54
Let o(n) = n**3 - 5*n**2 + 4*n + 3. Let v be o(4). What is the second derivative of -d**v + 3*d**3 - 4*d**3 - d + 4*d**3 wrt d?
12*d
Let l(z) be the second derivative of -z**7/280 + z**4/8 - z**3/6 + 2*z. Let d(u) be the second derivative of l(u). What is the first derivative of d(f) wrt f?
-9*f**2
Let p(j) = -7*j - 8 + j + 3*j. Let d(t) = t - 1. Let z(f) = 3*d(f) - p(f). Differentiate z(g) wrt g.
6
Let f be ((-18)/4 + -1)*-2. Differentiate -7 - t + 2*t + f - 2*t with respect to t.
-1
Let x(y) be the second derivative of 1/20*y**5 + 0 - 1/3*y**3 + 3*y + 0*y**4 + 0*y**2. Find the second derivative of x(w) wrt w.
6*w
Let p(s) be the first derivative of -7*s**3/3 + 14*s**2 - 47. What is the second derivative of p(a) wrt a?
-14
Let r(a) be the first derivative of -a**4 - 8 - 9/2*a**2 + 0*a + 0*a**3. Find the second derivative of r(p) wrt p.
-24*p
Suppose -4*t + 2 = -2. Let p = 1 + t. Find the third derivative of 2 - 2 - n**p - n**3 wrt n.
-6
