v). Find the third derivative of k(u) wrt u.
132
Let b(j) be the third derivative of 25*j**8/336 - 13*j**4/24 - 35*j**2. Find the second derivative of b(u) wrt u.
500*u**3
Let a = 1 + 1. Let o(u) be the first derivative of 2*u + u**2 - a*u**2 + u + 1. Differentiate o(m) wrt m.
-2
Let v(h) = -6*h**3 - 8*h - 78. Let t(c) = 3*c**3 + 4*c + 40. Let z(n) = 7*t(n) + 4*v(n). What is the first derivative of z(w) wrt w?
-9*w**2 - 4
Let r(p) be the third derivative of -5*p**8/112 + 23*p**4/24 - 7*p**2. What is the second derivative of r(m) wrt m?
-300*m**3
Let u(p) be the third derivative of -p**7/840 + p**4/8 + p**3/6 - 3*p**2. Let s(f) be the first derivative of u(f). What is the first derivative of s(o) wrt o?
-3*o**2
Let v(q) = -2*q - 7. Let g(n) = -2*n - 6. Let s be 32/12 - 2/(-6). Let y(m) = s*g(m) - 2*v(m). Differentiate y(c) wrt c.
-2
Suppose -5*q + 4 = -1. Let h be (2 - q) + (-1 - -1). Differentiate h - r + 2*r**3 + r wrt r.
6*r**2
Let f(v) be the second derivative of 0*v**4 + 1/15*v**6 - 3*v - 1/3*v**3 + 0*v**2 + 0 + 0*v**5. Find the second derivative of f(r) wrt r.
24*r**2
Let u(w) = w**2. Let r(l) = -5*l**3 - 8*l**2. Let y(q) = r(q) + 4*u(q). What is the third derivative of y(h) wrt h?
-30
What is the third derivative of 5 - 5 - 3*n**2 + 3*n**4 + n**4 wrt n?
96*n
Let h(t) = -11*t - 15. Suppose -16 - 29 = -5*i. Let j(a) = 5*a + 7. Let l(p) = i*j(p) + 4*h(p). Differentiate l(x) wrt x.
1
Let h(g) be the third derivative of 37*g**6/120 + 4*g**5/15 - 23*g**2. Find the third derivative of h(j) wrt j.
222
What is the first derivative of -1 + 6*l**2 + 3 + 0 wrt l?
12*l
Let k(m) = 33*m**2 + 13*m - 3. Let p(l) = -66*l**2 - 25*l + 5. Let v(w) = -5*k(w) - 3*p(w). Find the second derivative of v(j) wrt j.
66
Let a(j) be the third derivative of 7*j**6/30 + 8*j**3/3 - 18*j**2. Differentiate a(c) wrt c.
84*c**2
Suppose -2*r - r = -12. Suppose -5*s + 3 - 8 = 5*c, 4*s - 5*c - 32 = 0. Find the first derivative of j**r + 0 - 2 - j**4 - s*j**4 wrt j.
-12*j**3
What is the second derivative of -3*i + 0*i**4 + 14*i + 2*i + 12*i**4 wrt i?
144*i**2
What is the second derivative of -38*p + 35*p**3 + 7*p - 2*p**3 wrt p?
198*p
Let u(r) be the first derivative of 0*r + 0*r**4 + 0*r**5 - 1 + 1/3*r**3 - 1/2*r**6 + 0*r**2. Find the third derivative of u(w) wrt w.
-180*w**2
Suppose -4 = -t - 2. Let p be 0 - -2*3/t. Find the second derivative of p*c**5 + 2*c - 9*c**4 + 9*c**4 wrt c.
60*c**3
Find the third derivative of 5*t**4 + t**2 - 5*t**4 + 3*t**5 - 5*t**2 wrt t.
180*t**2
Find the second derivative of -21*s**4 + 2*s - 5*s - 6*s wrt s.
-252*s**2
Let q be ((-126)/(-10))/(15/50). Find the third derivative of q - 42 - 3*w**5 - 3*w**5 - 8*w**2 wrt w.
-360*w**2
Suppose 3*w + 1 = 7. Let b(n) = -6*n - 13. Let f(c) = 2*c + 4. Let r(q) = w*b(q) + 7*f(q). Differentiate r(d) wrt d.
2
Let k(m) = -m**4 + m**3 + m + 1. Let a(z) = -19*z**4 + 3*z**3 + 3*z - 6. Let o(f) = a(f) - 3*k(f). Find the first derivative of o(c) wrt c.
-64*c**3
Let w(b) = -b**2 + 4*b + 2. Let d be w(4). Let v = -4 + 6. Find the third derivative of a**d + a**v - a**4 - a**2 wrt a.
-24*a
Let x(k) = -30*k**4 - 12*k**3 + 32*k**2 + 12*k - 12. Let u(z) = z**4 + z**3 - z**2 - z + 1. Let t(q) = 12*u(q) + x(q). Find the third derivative of t(f) wrt f.
-432*f
Let k(c) = 31*c - 43. Let w(g) = -78*g + 108. Let z(u) = -12*k(u) - 5*w(u). What is the derivative of z(l) wrt l?
18
Let h be 0/((-4 - 2)/(-3)). Let y(o) be the third derivative of 1/6*o**3 + 0*o**4 + o**2 - 1/60*o**5 + 0*o + h. Find the first derivative of y(k) wrt k.
-2*k
Suppose -2*a + 10 = 0, 6 = -2*g + a + a. Let n(l) be the first derivative of l**3 + 2 + 3*l + 35*l**g - 35*l**2. Differentiate n(h) with respect to h.
6*h
Let i(x) be the second derivative of 0 + 0*x**5 + 0*x**4 + 1/6*x**3 + 0*x**6 + x + 0*x**2 + 1/14*x**7. What is the second derivative of i(v) wrt v?
60*v**3
Let u = -15 + 10. Let i = u - -7. What is the derivative of v**3 + 1 + 7*v**i - 7*v**2 wrt v?
3*v**2
Find the third derivative of 4*h - 1332*h**3 - 55*h**4 + 2*h**2 + 1332*h**3 wrt h.
-1320*h
What is the second derivative of 6*l + 32*l**2 - 15*l - 7*l - 2*l wrt l?
64
Let p(f) = f**2 + 8*f + 9. Let w be p(-7). What is the first derivative of 4 + h**w + 1 - 2*h**2 - 3 wrt h?
-2*h
Let q(f) = 6*f**4 - 2*f**3 + 1. Let d(k) = 25*k**4 - 9*k**3 + 5. Let t(c) = 2*d(c) - 9*q(c). Differentiate t(h) with respect to h.
-16*h**3
Find the third derivative of -12*x**2 + 8*x**5 + 11*x**5 + x**5 - 3*x**5 wrt x.
1020*x**2
Let c(v) be the third derivative of 0*v**6 + 0*v + 0*v**7 + 4*v**2 + 0*v**3 + 0 + 0*v**4 - 1/112*v**8 + 1/12*v**5. What is the third derivative of c(x) wrt x?
-180*x**2
Let q = 21 + -7. What is the first derivative of 3*p**4 + 14*p - 2 - q*p wrt p?
12*p**3
Let z be -5 + 9 - 8 - -6. Let d(u) be the second derivative of 2*u + 0 + 1/2*u**3 + 3/20*u**5 + 0*u**z + 0*u**4. Find the second derivative of d(f) wrt f.
18*f
Suppose 4*j - 2 = -v, 2*v + 4 + 0 = 0. Let n be (-4 + 0)*j/(-2). What is the derivative of -u**2 + 3*u**2 - 1 + 0*u**n wrt u?
4*u
Suppose -n - 3 = -0*n. Let j(a) = 5*a**4 + 3*a - 2. Let r(o) = 6*o**4 - o + o**4 - 8*o**4. Let y(k) = n*r(k) - j(k). What is the first derivative of y(p) wrt p?
-8*p**3
Let j(z) = -z - 1. Suppose 5*y - 20 = -0*y. Let c(w) = -8 - y*w + 0 + 2. Let t(s) = -c(s) + 3*j(s). Differentiate t(q) wrt q.
1
Suppose -5*x + 2*i = -4, 5*x - 2 = x + i. Suppose -2*v + 8 = -x*c + c, -13 = -5*c - v. What is the third derivative of 2*s**4 + c*s**2 + 0 + 1 - 1 wrt s?
48*s
Let b(k) be the third derivative of 3*k**2 + 0*k + 0 + 1/3*k**3 - 1/24*k**4. Differentiate b(p) wrt p.
-1
Let i = -3 + 8. Find the second derivative of 2*d + d**3 - i*d**3 + 5*d**3 wrt d.
6*d
Let i(y) be the first derivative of 0*y**4 - 6 - 3*y**2 + 2/5*y**5 + 0*y**3 + 0*y. What is the second derivative of i(o) wrt o?
24*o**2
Let d(q) = 4*q**5 - 7*q - 5. Let v = -7 + 11. Let n(w) = 4*w**5 - 7*w - 4. Let m(g) = v*d(g) - 5*n(g). What is the second derivative of m(z) wrt z?
-80*z**3
Let a be (-3)/4*(-7 - (1 + -4)). Let x be -1 + (0 - 0) - -3. What is the first derivative of 4 - 8 + x*s**2 - a*s**4 - 2*s**2 wrt s?
-12*s**3
Differentiate 5*z**2 + 8*z**2 + 2*z**2 - 7*z**2 + 11 with respect to z.
16*z
Suppose -3*q + 3 + 0 = 0. Find the third derivative of j**5 + q + 3*j**2 - 1 wrt j.
60*j**2
Find the first derivative of 17 - 271*g - 19*g**4 + 271*g wrt g.
-76*g**3
Let y(f) be the second derivative of 0*f**3 + 1/12*f**4 - 5*f + 0*f**5 - 2/15*f**6 + 0 + 0*f**2. What is the third derivative of y(a) wrt a?
-96*a
Let p(y) = 47*y + 5. Let a(u) = -23*u - 3. Let s(l) = 13*a(l) + 6*p(l). What is the first derivative of s(b) wrt b?
-17
Let j(t) = 10*t**2 + 6. Let x(u) = 2*u**2 + 1. Let g be (-136)/(-24) - 2/(-6). Let n(m) = g*j(m) - 33*x(m). Differentiate n(b) wrt b.
-12*b
What is the first derivative of -15 - v - 9*v + 8 + 5 wrt v?
-10
Let d(u) be the third derivative of -u**7/42 - u**3/3 - 6*u**2. What is the first derivative of d(o) wrt o?
-20*o**3
Let w(t) be the third derivative of t**8/84 + 7*t**5/60 + 5*t**2. Find the third derivative of w(x) wrt x.
240*x**2
Let u(y) be the first derivative of -2 - y + 0*y**3 - 1/12*y**4 - y**2. Let a(c) be the first derivative of u(c). Find the first derivative of a(f) wrt f.
-2*f
Let j(m) = 23*m**2 + 5*m - 32. Let n(y) = -12*y**2 - 2*y + 16. Let k(o) = -2*j(o) - 5*n(o). Find the first derivative of k(x) wrt x.
28*x
Suppose p = 2*p. Let y(m) = m + 4. Let z be y(p). Find the third derivative of -5*a**2 + 0 + 0 - z*a**4 + 6*a**2 wrt a.
-96*a
Let m be (0/(2/5*5))/1. Let o(j) be the first derivative of 0*j + 3/5*j**5 + 3 + m*j**3 + 1/2*j**2 + 0*j**4. What is the second derivative of o(d) wrt d?
36*d**2
Let q(b) = -20*b**2 - 8*b + 14. Let g(p) = 13*p**2 + 5*p - 9. Let j(t) = 8*g(t) + 5*q(t). Differentiate j(s) with respect to s.
8*s
Let h(f) be the first derivative of -8*f**3/3 + 2*f + 10. Differentiate h(i) with respect to i.
-16*i
Let p(k) = 5*k**3 + 6*k**2 - 2. Suppose -4*q - q = -15. Let b(o) = 6*o**3 + 7*o**2 - 3. Let i(w) = q*p(w) - 2*b(w). What is the third derivative of i(l) wrt l?
18
Let a(s) be the third derivative of 5*s**9/168 - 23*s**5/60 + 23*s**2. Find the third derivative of a(w) wrt w.
1800*w**3
Suppose -2*x + 8 = 2*x. Find the third derivative of l**2 - 2*l**2 - 4*l**2 + 2