d the third derivative of f(r) wrt r.
-120*r**2
Suppose 0 = 3*y - y - 4. Find the third derivative of -3*q**y + 4*q**2 - 3*q**4 + q**4 wrt q.
-48*q
Let x(c) be the first derivative of 3*c**3 + 4*c + 8. Let f(b) = -2*b**2 - 1. Let w(i) = -11*f(i) - 2*x(i). Differentiate w(g) wrt g.
8*g
Let c(d) be the first derivative of d**8/560 + d**5/60 + d**3/3 - 1. Let k(u) be the third derivative of c(u). Find the second derivative of k(p) wrt p.
36*p**2
Let d(w) be the third derivative of -17*w**6/40 - 7*w**5/12 - w**4/12 - 43*w**2 + 2. What is the third derivative of d(j) wrt j?
-306
Let x(v) be the second derivative of -2*v**3/3 + 2*v**2 + 5*v. What is the first derivative of x(a) wrt a?
-4
Let g(k) be the second derivative of 2*k + 0*k**4 + 0 + 0*k**5 - 2/15*k**6 + 0*k**3 - 2*k**2. Differentiate g(f) with respect to f.
-16*f**3
Let a(z) be the second derivative of -1/12*z**4 + 1/20*z**5 + 0 + 0*z**2 - 3*z + 0*z**3. Find the third derivative of a(y) wrt y.
6
Let i(v) = 6*v**3 - 2*v**2 + 2*v - 27. Let l(a) = -7*a**3 + 3*a**2 - 3*a + 27. Let j(y) = -3*i(y) - 2*l(y). Find the first derivative of j(r) wrt r.
-12*r**2
Let v(w) = -21*w**2 + 6*w. Let f(p) = p - 4*p**2 - 2*p + 2*p. Suppose 3*o + 4 = 5*o. Let y(a) = o*v(a) - 11*f(a). What is the second derivative of y(t) wrt t?
4
Let b(r) be the second derivative of -r**7/3 + 7*r**4/6 - 34*r. What is the third derivative of b(p) wrt p?
-840*p**2
Suppose -t + 2 = a - 0*a, 3*t = 3*a + 12. What is the derivative of -1 - 3*q**3 + 1 + 4*q**t + 1 wrt q?
3*q**2
Suppose 12 = -y + 5*y. Find the second derivative of 3*v + 5*v**5 - v**5 - y*v**5 wrt v.
20*v**3
Let d be (1/(-4))/(14/(-168)). Let w(c) be the second derivative of 1/2*c**2 + 0 + 1/6*c**d + 2*c. Find the first derivative of w(j) wrt j.
1
Let k(a) = a**2 - 8*a + 10. Let j be k(7). What is the derivative of w - 4*w + 10*w + j wrt w?
7
Let f = -7/4 - -15/8. Let n(c) be the third derivative of 2*c**2 - 1/2*c**3 + 0 + f*c**4 + 0*c. Differentiate n(s) wrt s.
3
Let z be 24/14 - 4/(-14). Let d be -3*(-5)/(15/z). Find the third derivative of 2*k**4 - k**2 - 3*k**3 + 3*k**3 + 2*k**d wrt k.
48*k
Let g(j) = 2*j. Let i(w) = -18*w**2 - 8*w + 37. Let t(m) = -3*g(m) - i(m). Find the second derivative of t(x) wrt x.
36
Let n(t) = -t + 1. Let k = 0 + 4. Let a = 2 - 1. Let j(c) = -2*c**2 + 6*c - 4. Let x(q) = a*j(q) + k*n(q). What is the second derivative of x(h) wrt h?
-4
Let t be -3 - 3/((-6)/2). Let u(g) = 2*g**2 + 2*g - 2. Let b be u(t). Differentiate h**3 - b*h**2 + 2*h**2 + 3 wrt h.
3*h**2
Let a(d) be the first derivative of d**4 + 5*d**3/3 - d**2/2 - 38*d + 57. What is the second derivative of a(q) wrt q?
24*q + 10
Let m = 12 + -8. Find the second derivative of 5*y - 13*y - y**4 - y**m wrt y.
-24*y**2
Let t(x) be the third derivative of 0*x - 1/105*x**7 + 0*x**6 - 5*x**2 + 0*x**4 + 0 - 1/20*x**5 + 0*x**3. What is the third derivative of t(u) wrt u?
-48*u
Suppose -3*r + 4*r = 2. Find the first derivative of 48*v**2 + v**4 + 9 + 5*v**4 - 48*v**r wrt v.
24*v**3
Let y(p) be the third derivative of -6*p**2 - 1/35*p**7 - 1/12*p**5 + 0 + 0*p**6 + 0*p**3 + 0*p + 0*p**4. Find the third derivative of y(g) wrt g.
-144*g
Suppose -2*f + 2*a + 8 = 4*a, 3*f - 13 = -4*a. Let p(s) = s**2 - s - 2. Let d be p(f). Differentiate -2 + 1 - d*z**4 + 2*z**4 with respect to z.
-8*z**3
Let v(t) be the first derivative of 5/2*t**2 + 0*t**3 - 7 + 0*t + 0*t**4 + t**5. What is the second derivative of v(p) wrt p?
60*p**2
Let p(m) = -10*m**3 - 4*m + 5. Let y(l) = -30*l**3 - 11*l + 16. Let k(z) = -11*p(z) + 4*y(z). Differentiate k(w) with respect to w.
-30*w**2
Differentiate 7 - 7*n**2 - 626*n + 626*n wrt n.
-14*n
What is the second derivative of 13*g + 5*g**3 - 11*g + 20*g + 3*g**3 wrt g?
48*g
Let b = 5 + -3. What is the third derivative of -4*c**2 + c**6 - c**b + c**6 + 4*c**2 wrt c?
240*c**3
What is the first derivative of 14 - 6 + 139*n - 71*n - 64*n wrt n?
4
Let h(p) = -p**3 + 7*p**2 + 2*p - 5. Let z be h(7). Let l(g) = -5. Let o(s) = s - 21. Let r(d) = z*l(d) - 2*o(d). Differentiate r(x) wrt x.
-2
Let x(v) be the third derivative of 0 + 0*v**6 - 1/24*v**4 + 0*v**3 - 1/70*v**7 + 0*v + 0*v**5 - v**2. What is the second derivative of x(d) wrt d?
-36*d**2
Let h(w) be the third derivative of -w**5/20 + 19*w**3/6 - 30*w**2. Differentiate h(i) with respect to i.
-6*i
Let x(p) = -4*p + 1. Let o be 3/(-9) - (-33)/(-9). Let d(s) = -s**2 - s - 1. Let v(n) = o*d(n) + x(n). Find the first derivative of v(w) wrt w.
8*w
Let c(i) = -i**2 + 2*i. Let h(s) = -s**2 + 2*s. Suppose 5*l + 17 + 23 = 0. Let o = 11 + l. Let g(x) = o*h(x) - 2*c(x). Find the second derivative of g(b) wrt b.
-2
Let m(k) be the first derivative of -31*k**6/6 - 23*k**2 + 18. What is the second derivative of m(f) wrt f?
-620*f**3
Suppose -3*n = -4*f - n + 22, 3*f - 20 = 5*n. Find the first derivative of -f*y**3 + y**3 + 2*y**3 - 2 wrt y.
-6*y**2
Let c(j) be the second derivative of 3*j**5/10 + j**4/12 + 6*j. Find the third derivative of c(q) wrt q.
36
Let p(s) = 1 - 11*s**2 - 2*s**3 + 4*s**2 + s**3 - 7*s + 5*s**3. Let n(z) = -z**3 + z**2 + z. Let j(x) = 14*n(x) + 2*p(x). What is the derivative of j(a) wrt a?
-18*a**2
Let z(k) = -3*k. Let f be z(-1). Suppose 0 = -0*w + f*w - 9. What is the third derivative of -2*n**3 + w*n**3 - 2*n**2 + 3*n**3 - 2*n**2 wrt n?
24
Let b(t) = -13*t + 26. Let h(v) = 13*v - 25. Let z(y) = -4*b(y) - 5*h(y). Differentiate z(k) wrt k.
-13
Let w(c) = 2*c + 7. Let i be w(-7). Let u = 12 + i. Find the third derivative of -3*h**2 - 3*h**5 - h**u + 5*h**5 wrt h.
60*h**2
Differentiate -4 + n + 4 - 2*n + 3 with respect to n.
-1
Let w = -2 + 5. Differentiate 4*a - 4*a + 2 - w*a with respect to a.
-3
Let z(s) be the third derivative of -s**3/6 - 8*s**2. Let k(t) = t + 5. Let r(m) = -4*k(m) - 12*z(m). What is the first derivative of r(b) wrt b?
-4
Let a(r) be the first derivative of r**6/30 + 2*r**2 + 3*r + 3. Let w(b) be the first derivative of a(b). Differentiate w(j) wrt j.
4*j**3
Let a(h) be the first derivative of -h**6/60 + h**4/12 + h**2 + 1. Let l(o) be the second derivative of a(o). Find the second derivative of l(b) wrt b.
-12*b
Differentiate -38*a**3 + 42 + 10 - 14 wrt a.
-114*a**2
Let c(u) be the third derivative of -5*u**2 - 7/6*u**3 + 0*u - 1/12*u**4 + 0. Find the first derivative of c(k) wrt k.
-2
Let j(q) be the second derivative of q**9/7560 - q**7/630 + q**4/6 + 3*q. Let c(v) be the third derivative of j(v). Find the third derivative of c(x) wrt x.
48*x
Let v(n) = 6*n**2 - 4*n - 5. Suppose -1 = 3*y + 11. Let s(z) = -5*z**2 + 5*z + 4. Let c(w) = y*v(w) - 5*s(w). Find the second derivative of c(x) wrt x.
2
Let o(a) = -11*a**4 + 3*a**3 + 3*a**2 + 3*a - 11. Let b(j) = 10*j**4 - 4*j**3 - 4*j**2 - 4*j + 12. Let f(m) = 3*b(m) + 4*o(m). Differentiate f(s) wrt s.
-56*s**3
Let c be (-2)/(-7) - (-6)/(-21). Let o(k) = k - 2. Let q be o(3). What is the derivative of c + 0*j - 2*j + q - j wrt j?
-3
What is the first derivative of 13 - 15 - 9 + 5*z**3 wrt z?
15*z**2
Let u(v) = 3*v**2 - v. Let d(m) = -5*m**2 + 3*m. Suppose 7 = 3*l - 8. Let g(c) = l*u(c) + 2*d(c). Find the second derivative of g(f) wrt f.
10
Suppose -2*u + 0*u = 2, -2*z + 2 = 2*u. What is the second derivative of -3*g**z + g + 3*g**2 + 2*g**2 wrt g?
4
Let n(q) be the third derivative of -7*q**4/12 - 5*q**3/3 - 4*q**2. Find the first derivative of n(m) wrt m.
-14
Differentiate 5*i**4 + 4*i - 4*i - 51 + 48 with respect to i.
20*i**3
What is the third derivative of 12*b**5 + 13*b**2 + 17 - 17 wrt b?
720*b**2
Let i(b) be the second derivative of -b**7/210 - 5*b**4/24 - 5*b**2/2 - 4*b. Let v(p) be the first derivative of i(p). Find the second derivative of v(x) wrt x.
-12*x**2
Let h be (0 + 2)/((-11)/(-22)). Find the third derivative of -2*a**2 - a**h + 7*a**3 - 3*a**3 - 4*a**3 wrt a.
-24*a
Let d(x) = 2 - 1 + 3*x**2 - 4*x**2 - 2 + x. Let y(n) = -2*n**2 + 4*n - 2. Let k(v) = 4*d(v) - y(v). Differentiate k(t) with respect to t.
-4*t
Let v = -2 + 8. Suppose -k + v = q, -5*k - 1 = 3*q - 23. What is the second derivative of 3*j - 6*j + 0*j**q - 4*j**4 wrt j?
-48*j**2
Let d(n) be the third derivative of -n**6/24 - 5*n**3/2 - 16*n**2. Differentiate d(o) wrt o.
-15*o**2
Let g(m) be the first derivative of 5*m**4/4 + m**2/2 + 5. What is the second derivative of g(k) wrt k?