first derivative of 3 - 16 - 1 - r**4 - 8*r**4 wrt r?
-36*r**3
Let v(k) be the first derivative of 12*k**5/5 - k**3/3 + 11. Find the third derivative of v(o) wrt o.
288*o
Let l(q) be the first derivative of 2*q**3 - 7*q + 3. Differentiate l(z) wrt z.
12*z
Find the second derivative of -9*f**2 + 7*f + 6*f**3 + 9*f**2 wrt f.
36*f
Let o(w) be the first derivative of -4*w**5/5 + 2*w**3/3 + 1. What is the third derivative of o(j) wrt j?
-96*j
Let k(g) = -12*g**5 + 5*g**4 - 5*g**2 - 9*g. Let w(i) = 18*i**5 - 7*i**4 + 7*i**2 + 13*i. Let p(c) = 7*k(c) + 5*w(c). Find the second derivative of p(f) wrt f.
120*f**3
Find the second derivative of -17*h**4 + 6*h - 10*h + 5*h wrt h.
-204*h**2
What is the second derivative of 27*w**4 - 13*w - 52*w + 18*w wrt w?
324*w**2
Let g(f) = 5*f + 2. Let d = -3 - -1. Suppose 3*w = 4*w + 3. Let m(c) = -4*c - 1. Let p(t) = d*g(t) + w*m(t). What is the derivative of p(r) wrt r?
2
Let w be 1/(-2)*(-8)/2. Let k(i) be the first derivative of -i - 4*i**2 + 2 + i**2 + 2*i**w. What is the first derivative of k(n) wrt n?
-2
Let z = -149/6 - -25. Let o(j) be the second derivative of 0 - z*j**3 + 1/30*j**6 - j + 0*j**2 + 0*j**4 + 0*j**5. What is the second derivative of o(q) wrt q?
12*q**2
Let u(l) = l - 1. Let f = -1 + 2. Let z(n) = -n**4 - 1 + 5*n - 2*n**2 + 0*n - 4*n. Let q(p) = f*u(p) - z(p). Find the third derivative of q(o) wrt o.
24*o
Let s(b) be the second derivative of 2*b + 1/14*b**8 + 0*b**7 - 1/3*b**4 + 0*b**6 + 0*b**5 + 0*b**2 + 0*b**3 + 0. What is the third derivative of s(a) wrt a?
480*a**3
Let y(i) be the third derivative of 0*i + 0*i**6 - 6*i**2 + 0 + 0*i**3 + 4/105*i**7 + 0*i**5 + 1/4*i**4. Find the second derivative of y(s) wrt s.
96*s**2
Let t(c) be the third derivative of 0*c + 0*c**3 + 0*c**5 + 1/24*c**6 - 1/24*c**4 + 8*c**2 + 0. What is the second derivative of t(j) wrt j?
30*j
Let z(p) = -p**2 + p + 1. Let y(x) = -7*x**3 - 3*x**2 + 3*x + 7. Let k(s) = -y(s) + 3*z(s). What is the first derivative of k(c) wrt c?
21*c**2
Let v = 6 - 4. Find the third derivative of 5 + v*p**2 + p**2 + p**5 - 5 wrt p.
60*p**2
Let d(m) be the third derivative of 4*m**7/105 - m**6/30 + m**5/15 - 4*m**3/3 + 61*m**2. What is the third derivative of d(r) wrt r?
192*r - 24
Let u be 1/((-39)/18 - -2). Let g(a) = -a**2 - 11*a - 7. Let j(o) = -o**2 - 10*o - 6. Let v(f) = u*g(f) + 7*j(f). What is the second derivative of v(x) wrt x?
-2
Let o(u) = u. Let c(f) = -12*f - 19. Let q(n) = c(n) - 2*o(n). Find the first derivative of q(i) wrt i.
-14
Let l(s) be the first derivative of 14*s**5/5 - s**2 + 27. Find the second derivative of l(z) wrt z.
168*z**2
Find the second derivative of 44*a + 25*a**4 + 4*a - 7*a**4 wrt a.
216*a**2
Let z(c) be the second derivative of 10*c**7/21 + 11*c**3/6 - 31*c. Find the second derivative of z(w) wrt w.
400*w**3
Let k(x) = 1 - 3 - 1 + 6*x. Let h(t) = 7*t - 4. Let s(w) = -2*h(w) + 3*k(w). Differentiate s(g) wrt g.
4
Let f(q) = -q - 1. Let u(i) = -18*i**3 + 8*i + 30. Let h(d) = 8*f(d) + u(d). What is the derivative of h(w) wrt w?
-54*w**2
Let u(v) = -26*v**4 + 28. Let k(x) = 25*x**4 - 27. Let r(m) = -3*k(m) - 2*u(m). Differentiate r(h) with respect to h.
-92*h**3
Let i(l) be the second derivative of -l**6/10 + 5*l**2/2 - 2*l. What is the derivative of i(x) wrt x?
-12*x**3
Let y(d) = -3*d**3 - 5*d - 6. Let n(p) = 3*p**3 + 6*p + 7. Suppose -h + 20 = -5*h. Let c(j) = h*n(j) - 6*y(j). Differentiate c(l) wrt l.
9*l**2
Let m(q) be the first derivative of 7/2*q**2 + 0*q**3 - 2 - 2*q**4 + 0*q. What is the second derivative of m(o) wrt o?
-48*o
What is the third derivative of p**2 + 2*p**2 + 9*p**4 + 0*p**2 + 3*p**2 wrt p?
216*p
Let z(u) = -14*u**4 + 5*u**3 + 20. Let m(y) = -y**3 + 1. Let i(t) = 5*m(t) + z(t). Differentiate i(h) wrt h.
-56*h**3
Let h(n) be the second derivative of 3*n**8/28 + 3*n**4/4 - 19*n. What is the third derivative of h(c) wrt c?
720*c**3
Let y be 11/(-2)*6/(-3). Suppose y = 2*u - x, -4*x + 8 - 4 = 4*u. What is the second derivative of 3*o + 0*o**4 + o**u - 2*o wrt o?
12*o**2
Let y(w) be the third derivative of w**8/112 - w**4/12 + 4*w**2. Find the second derivative of y(r) wrt r.
60*r**3
Differentiate 0 + 7*k - 16 + 29 wrt k.
7
Let b be 6 - (-2)/(2 - 0). Find the second derivative of -2 + b*z + 0 - z**5 + 2 wrt z.
-20*z**3
Find the first derivative of 21 - 18 + z**4 + 8*z**4 wrt z.
36*z**3
Let q(w) be the third derivative of w**6/30 - 7*w**4/24 - 4*w**2. Find the second derivative of q(s) wrt s.
24*s
Let m = -1 - -3. What is the second derivative of 3*r**2 + 0*r + 0*r**m - r wrt r?
6
Let l be 2*1/2*2. Suppose -9*x + 4 = -7*x. Find the third derivative of 0*g**x + 3*g**4 + g**2 + 2*g**l - g**4 wrt g.
48*g
What is the second derivative of -1 + 2 - 2*j - 1 - 5*j**2 wrt j?
-10
Let t = 1 - 1. Let w be (-6)/10*(t + -5). What is the derivative of w*v + 0*v - 1 + 3 wrt v?
3
Let b = -8 + 4. Let p(k) = -4*k**4 + k**2 + 5*k. Let d(n) = -3*n**4 + 4*n. Let l(z) = b*p(z) + 5*d(z). Find the third derivative of l(f) wrt f.
24*f
Let i(h) = 2*h**3 + 3*h**2 + 4*h - 4. Let o(m) = 3*m**3 + 4*m**2 + 0*m - m**2 - 3 + 3*m. Let t(r) = 3*i(r) - 4*o(r). What is the third derivative of t(n) wrt n?
-36
Let s(q) = -q**4 - 4*q**3 + q - 4. Let k(c) = c**4 + c**3 + 1. Let h = 9 - 10. Let r(v) = h*s(v) - 4*k(v). Find the second derivative of r(j) wrt j.
-36*j**2
Let d = 7 - 3. Suppose d*g - 14 = -2. What is the second derivative of 8*i - 7*i - 2*i**3 + i**g wrt i?
-6*i
Let k(g) be the first derivative of -6*g**7/7 + 3*g**3 - 5. Find the third derivative of k(c) wrt c.
-720*c**3
Find the third derivative of -2*i + 9*i**4 + 3*i - i - i**2 wrt i.
216*i
Let k(r) = 9*r**4 + 2*r**3 - 5. Let s(z) = z**4 + z**3. Let p(d) = -k(d) + 2*s(d). Find the first derivative of p(b) wrt b.
-28*b**3
Suppose -2*u - 5 = -3*y, -4*y + 25 = y + 5*u. Find the second derivative of 3*m + 7*m**2 + 5*m**y - 7*m**2 wrt m.
30*m
Suppose -4*d = 2*d - 48. Find the third derivative of 7*r**4 + 0*r**4 + 0*r**4 - 3*r**4 + d*r**2 wrt r.
96*r
Suppose 4*x = -3*q - 2*q + 15, -4*q + 16 = 4*x. What is the second derivative of -4*v - x*v**4 + v**4 + 0*v**4 wrt v?
-48*v**2
What is the second derivative of -68*f - 76*f + 40*f**2 + 4 + 145*f wrt f?
80
Find the third derivative of -5*f**6 + f**2 + 7*f**2 + 0*f**6 + f**6 wrt f.
-480*f**3
Let d = -14 + 16. Suppose 3*j = 5 + 1. Find the third derivative of -4*q**d - q**2 - q**4 + j*q**2 wrt q.
-24*q
Let s = -100 + 102. Let i(c) be the second derivative of 0 + 4*c + s*c**2 + 1/2*c**3. Find the first derivative of i(n) wrt n.
3
Let f be 6/(-12)*(-1 + -9). What is the second derivative of x**5 - 3*x + 0*x - 3*x**f - 3*x**5 wrt x?
-100*x**3
Suppose 0 = -z + 4*l - 3 - 2, 0 = -2*z + 3*l. Find the second derivative of 7*n - 2*n - 5*n**5 - z*n wrt n.
-100*n**3
Let k(s) = -s**3 - 3*s**2 + s. Let l be k(-4). Suppose -l = -4*q + 2*r, -q = q - 4*r - 12. Find the third derivative of 2*a**2 + q*a - 2*a + a**6 wrt a.
120*a**3
Let q(t) = 7*t**3 - t**2. Let g(j) = 3*j**3 - 2*j**3 - 5 + 6 + 0*j**2 + j**2. Let p(o) = g(o) + q(o). Find the first derivative of p(c) wrt c.
24*c**2
Let b(k) = k**4 + k**2 + k - 1. Let s(x) = x**4 - 6*x**2 - 13*x + 6. Let d(f) = 6*b(f) + s(f). What is the second derivative of d(w) wrt w?
84*w**2
Suppose 0 = 10*p - 5*p - 10. Find the third derivative of -3*w**p - 7*w**3 + 5*w**2 + 7*w**3 - w**4 wrt w.
-24*w
Let y(j) = 12*j**5 + 5*j**4 + j + 5. Let i(w) = -11*w**5 - 4*w**4 - 4. Let g(t) = 5*i(t) + 4*y(t). Find the second derivative of g(p) wrt p.
-140*p**3
Let t(c) be the second derivative of 0 + 1/5*c**6 - 1/4*c**4 + 0*c**5 + 5*c + 0*c**2 + 0*c**3. What is the third derivative of t(k) wrt k?
144*k
Let l = 6 + -3. Find the first derivative of 2 - 4 + l - 3*a wrt a.
-3
Let u = 3 + 0. Find the third derivative of 3*f**3 - 2*f**2 - 2*f**3 - u*f**2 - 4*f**3 wrt f.
-18
Let n(w) be the second derivative of -w**5/20 + w**4/2 + w**2/2 - 3*w. Let d be n(6). Find the second derivative of 3*g - 1 + d + g**3 - g wrt g.
6*g
Let u(i) be the second derivative of 2/3*i**3 + 2*i**2 + 0 - 4*i. Find the first derivative of u(n) wrt n.
4
Let n(v) be the second derivative of v**6/180 + v**5/30 + v**3/3 + v. Let a(k) be the second derivative of n(k). Find the second derivative of a(x) wrt x.
4
Let i(b) = b**2. Let v(p) = 3*p**4 + 3*p**2 + 1. L