a. Let s(g) = -2*b(g) + 9*k(g). What is the second derivative of s(u) wrt u?
-18*u
Let b(t) = t**4 + t**3 + t + 1. Let f(k) = -k**4 + k**3 + k + 2. Let v(i) = 3*b(i) - 3*f(i). What is the derivative of v(z) wrt z?
24*z**3
Let h(j) be the third derivative of j**7/210 - j**4/4 - 3*j**2. Find the second derivative of h(n) wrt n.
12*n**2
Let d(i) = -4*i. Let p be d(1). Let u = p + 7. Find the third derivative of -3*z**2 - 2*z**2 - 2*z**6 + u*z**2 wrt z.
-240*z**3
Let x(d) be the third derivative of -2*d**3/3 + 3*d**2. Let m(r) = r**2 + 4. Let k(i) = 4*m(i) + 3*x(i). What is the first derivative of k(y) wrt y?
8*y
Let j = 5 + -3. Let v be (-5)/j*6/(-5). What is the third derivative of -v*w**2 - 2*w**4 + 6*w**3 - 6*w**3 wrt w?
-48*w
Let j(b) be the third derivative of -5*b**4/24 - b**3/3 - 15*b**2. Differentiate j(o) with respect to o.
-5
Let r(v) be the third derivative of 0*v**3 + 0 + 3*v**2 + 0*v + 1/20*v**5 + 1/12*v**4. What is the second derivative of r(h) wrt h?
6
Find the second derivative of 0*r - 10*r**3 + 2*r**3 - 2*r wrt r.
-48*r
Let d be 1/(4*(-4)/(-64)). Let m be 1/((-10)/6 - -2). What is the second derivative of -3*p + d*p + m*p**3 - 2*p**3 wrt p?
6*p
Suppose 3 = r + 2. Let j be 12*(r + (-2)/4). Find the third derivative of j*y**2 + 0*y**2 - 3*y**2 + 3*y**5 wrt y.
180*y**2
Let r(l) be the first derivative of -l**6/120 - l**4/12 + 2*l**3/3 + 3. Let o(a) be the third derivative of r(a). What is the first derivative of o(n) wrt n?
-6*n
Let y(k) be the second derivative of -k**3/6 - k**2 - 3*k. Differentiate y(j) wrt j.
-1
Let o(c) = -c**4 - 3*c**3 + 1. Let t(r) = -r**3 + r**4 + 4*r + 2*r**3 - 4*r. Let k(v) = o(v) + 3*t(v). Differentiate k(b) wrt b.
8*b**3
Let o = -3 - -5. What is the derivative of -o*i - i**2 - 1 + 2*i wrt i?
-2*i
Let b(l) be the second derivative of 0*l**2 - 4*l + 0*l**4 - 1/3*l**3 + 0 + 1/20*l**5. Find the second derivative of b(d) wrt d.
6*d
Let m(l) be the second derivative of -21*l**5/20 + 13*l**3/6 - 7*l. What is the second derivative of m(z) wrt z?
-126*z
Let s(p) be the first derivative of p**6/90 + p**5/60 - p**3 + 4. Let l(c) be the third derivative of s(c). What is the second derivative of l(r) wrt r?
8
Let l be 7 + -2 + 4 + -3. Let s = -3 + l. What is the second derivative of -i**3 + 7*i**5 + i + i**s - 10*i**5 wrt i?
-60*i**3
Suppose 5*w + 14 = -1. Let i be 2/w - (-28)/6. Differentiate -k**3 + 25*k**4 + k**3 - i - 22*k**4 wrt k.
12*k**3
Let p(b) be the second derivative of b**5/60 + b**4/24 - b**3/3 + 3*b. Let u(s) be the second derivative of p(s). Differentiate u(m) with respect to m.
2
Let b(r) = 15*r**3 + 2*r**2 - 10*r + 2. Let c(a) = 15*a**3 + 3*a**2 - 9*a + 2. Let j(d) = -3*b(d) + 2*c(d). What is the second derivative of j(v) wrt v?
-90*v
Suppose 12 = -3*k + 42. Suppose -z - k = -6*z. Differentiate q - 1 + 0*q - z*q wrt q.
-1
Let q(a) = a**2 - 4*a + 1. Suppose 0 = r + 4*k - 16, -2*r - 4*k + 24 = r. Let l be q(r). Find the second derivative of 3*g - g**4 + l - 1 - g**4 wrt g.
-24*g**2
What is the second derivative of -42*z**2 - 14*z + 21*z**2 + 14*z**2 - 5*z wrt z?
-14
Let u(d) be the first derivative of -d**6/60 - d**5/20 - d**2/2 - 4. Let g(o) be the second derivative of u(o). Find the third derivative of g(t) wrt t.
-12
Let k(i) = i**3 - i**2 - i. Let r be k(2). Suppose 3*g - 4 = g. What is the second derivative of 3*u**2 + u - u**g - u**r wrt u?
2
Let u(o) be the second derivative of 2*o**2 + 0 + 0*o**4 + 3/10*o**5 + 0*o**3 + 7*o. Differentiate u(y) with respect to y.
18*y**2
Find the third derivative of -3*n**3 + 3*n**3 - 10*n**2 - 31*n**4 wrt n.
-744*n
Let o be 3/2 + 6/12. Find the third derivative of -2*a**2 - 3*a**4 + 4*a**o - 2*a**4 wrt a.
-120*a
Let x(f) = f + 8. Let r(j) = -4*j - 23. Let i(t) = 6*r(t) + 17*x(t). Differentiate i(a) wrt a.
-7
Let o(m) = -2*m**4 - 5*m**2 - 2. Suppose l = 1 - 2. Let u(c) = 0*c**2 + c**2 + 0*c**2. Let j(v) = l*o(v) - 5*u(v). Differentiate j(r) wrt r.
8*r**3
Let f(l) be the second derivative of -3/2*l**2 - 1/6*l**3 - 2*l - 1/8*l**4 + 0. Let g(n) be the first derivative of f(n). Differentiate g(r) wrt r.
-3
Let p(f) = 6*f - 55. Let d(l) = l - 11. Let u(m) = -11*d(m) + 2*p(m). Let t be u(-9). What is the derivative of -n**t - n**2 + 3 - 5 wrt n?
-4*n
Let o(f) be the third derivative of 0 + 0*f**5 + 0*f**7 + 0*f**6 - 1/48*f**8 + 0*f - 5*f**2 + 0*f**3 + 5/24*f**4. Find the second derivative of o(b) wrt b.
-140*b**3
Let j(o) = -8*o**2 + 17. Let k(v) = -9*v**2 + 18. Let t(q) = -7*j(q) + 6*k(q). Differentiate t(x) wrt x.
4*x
Suppose 0 = -5*a + 10*a - 100. Suppose a + 21 = 4*h + 5*c, c - 5 = 0. What is the third derivative of 2*s**2 + s**4 + 6*s**4 - 3*s**h wrt s?
96*s
Let v(h) = -h**2 - h - 1. Let c(u) = 3*u**2 + 10*u + 3. Let t(f) = c(f) + 4*v(f). Let b be t(5). What is the third derivative of w**b + w + 3*w**2 - w wrt w?
24*w
Let u(y) be the first derivative of -6*y**2 - 6*y - 16. What is the derivative of u(v) wrt v?
-12
Let a(p) be the second derivative of -3*p**5/4 - p**3/6 - 8*p. Find the second derivative of a(o) wrt o.
-90*o
Let s(q) = -6 - 4*q**2 + 2*q**2 + 3*q**2. Suppose -3*w + 16 = 4. Let p(j) = -3. Let l(m) = w*s(m) - 7*p(m). Differentiate l(t) wrt t.
8*t
Let p(c) be the second derivative of 5/6*c**3 + 5*c + 0 + 2*c**2. What is the derivative of p(v) wrt v?
5
Let u(s) = 14*s**3 - 6*s**2 + 6*s - 19. Let z(d) = -d**3 - d**2 + d. Let t(o) = -u(o) + 6*z(o). Differentiate t(m) wrt m.
-60*m**2
Let b be (-1)/(((-9)/(-6))/(-3)). Suppose 0 + 4 = b*l. What is the first derivative of -2 - 2*r**2 + 0*r**l + 4*r**2 wrt r?
4*r
Let z = 0 + -2. Let n(a) = -2*a. Let r be n(z). What is the third derivative of 3*q**2 - 5*q**3 + 5*q**3 + 2*q**r wrt q?
48*q
Let w(s) = 23*s**3 + 6*s**2 - 2. Let x(b) = 24*b**3 + 5*b**2 - 3. Let g(y) = 3*w(y) - 2*x(y). What is the third derivative of g(i) wrt i?
126
Let v(x) be the third derivative of -x**7/1260 - x**5/24 + 5*x**4/24 + 4*x**2. Let g(t) be the second derivative of v(t). Differentiate g(n) wrt n.
-4*n
Suppose -2*k = -q + 3, 4*k + 3*q = -q + 24. Find the first derivative of 0 - 2*t - k - 2*t wrt t.
-4
Suppose 2 + 0 = c. Find the second derivative of -3*b**2 - 2*b - 2*b**c + 0*b + 2*b**2 wrt b.
-6
Let m be (10 + -8)/(1/2). Find the third derivative of -5*j**m + 4*j**2 - 1 + 1 wrt j.
-120*j
Let d(f) = f + 2. Let g(q) = 3*q + 3. Let b(a) = -5*d(a) + 3*g(a). Find the first derivative of b(m) wrt m.
4
What is the third derivative of 12*t**2 + 12*t**4 - 850 + 850 wrt t?
288*t
Suppose 3*i + 0 = 6. What is the second derivative of 2*r**i + 1 - 4*r + 2 - 3 wrt r?
4
What is the second derivative of -474*u + 466*u - u**3 + 32*u**3 wrt u?
186*u
Let n(a) = a - 9. Suppose -p + 10 = p. Let y(f) = -2*f + 10. Let g(h) = p*y(h) + 6*n(h). Differentiate g(s) wrt s.
-4
Let f(b) = -b**2 + 10*b + 8. Let q be f(11). Let c = q - -8. Find the third derivative of 3*g**4 + 2*g**2 + 2*g**4 - g**4 - c*g**4 wrt g.
-24*g
Let f(w) = w**2 + w. Let g(a) = -a**6 - 4*a**2 + 3*a. Let v(p) = -6*f(p) + 2*g(p). Find the third derivative of v(b) wrt b.
-240*b**3
Let b(i) be the first derivative of 2 + 9/2*i**2 - 8*i. What is the derivative of b(t) wrt t?
9
Suppose 2*y + 3 = -5*c + 20, 0 = c + 2*y + 3. Let x be (c/10)/(1/8). What is the first derivative of 3 - 3*f**3 - 3*f**3 + x*f**3 wrt f?
-6*f**2
Let v be (-11 + -1)*3/(-6). Let g be ((-8)/(-10))/(5/25). Find the second derivative of -2*k + v*k + k**g - 3*k wrt k.
12*k**2
Let v be 2 + 1 + (0 - 2). What is the derivative of 1 + v - 4 + 3*d wrt d?
3
Find the third derivative of 3*f**4 + 8*f**2 + f**4 - 3*f**2 wrt f.
96*f
Let m = 5 + -1. Suppose y = -2*o + 4, -2*y - 7 = -3*o - 1. Find the first derivative of -4*g**3 + m - 3 + o*g**3 wrt g.
-6*g**2
Let s = 4 + -10. Let c(u) = -8*u**2 - 2*u - 3*u - 3*u. Let t(a) = -7*a**2 - 7*a. Let h(i) = s*c(i) + 7*t(i). What is the second derivative of h(g) wrt g?
-2
Let z(s) = 4*s. Let u be z(1). Suppose -3 = 3*m + 3*r, 5*m + 1 = u*r - 5*r. Find the third derivative of -5*h**5 + h**5 + 2*h**2 + m*h**5 wrt h.
-240*h**2
Let s(a) = 8*a**4 + 6*a + 6. Let u(h) = -23*h**4 - 17*h - 18. Let t(f) = -17*s(f) - 6*u(f). Differentiate t(i) with respect to i.
8*i**3
Let y(p) = p**2 + 1. Suppose -u - 2*u = 2*v + 8, -3*u - 3*v - 9 = 0. Let j be y(u). What is the second derivative of 2*o - 2*o**j + 0*o**5 +