he first derivative of a(w) wrt w.
6*w
Differentiate -38*y**2 + 38*y**2 - 3 + 3*y**3 with respect to y.
9*y**2
Find the second derivative of -74*z**3 + 53*z - 56*z**3 + 118*z**3 wrt z.
-72*z
Let f(h) be the second derivative of 2*h + 1/2*h**3 + 1/4*h**4 + 0*h**2 + 0. What is the second derivative of f(q) wrt q?
6
Let h(j) = -j - 3. Let r be h(-7). Differentiate -c**r + 0*c**4 + 4*c**4 + 1 wrt c.
12*c**3
Let x(c) = -c**3 - c**2 + 2*c + 2. Let v be x(-2). What is the third derivative of -4*m**2 - 2*m**2 + m**4 + m**2 + m**v wrt m?
24*m
Let v be (24/15)/((-4)/(-10)). Differentiate -3 + 3*i**v - 5*i - 2*i**4 + 5*i with respect to i.
4*i**3
Let t(d) = -3*d**2 - d + 5. Let o(l) = l**2 - 1. Suppose -m + 20 = -5*m. Let v(s) = m*o(s) - t(s). What is the second derivative of v(u) wrt u?
-4
Let j(g) be the second derivative of -1/15*g**6 + 0*g**2 + 0*g**5 - 1/2*g**4 + 8*g + 0*g**3 + 0. Find the third derivative of j(r) wrt r.
-48*r
Let h(f) = f + 4. Let g be h(0). Let c(q) = -3*q**3 + q. Let y be c(-1). Find the third derivative of 2*s**2 + s**g + 0*s**y - s**2 wrt s.
24*s
Let n(g) = -8*g**3 - 3*g**2. Let f(j) = -8*j**3 - 2*j**2. Let i(q) = -6*f(q) + 5*n(q). Find the third derivative of i(c) wrt c.
48
What is the first derivative of 5 - d**2 + 5*d**2 + d**2 wrt d?
10*d
Let x be (-4 - 1)/(0 + -1). Suppose 3*b - 19 = p, -4*p - 16 = b - x. Differentiate -1 + b - 5 - g with respect to g.
-1
Let n(v) be the second derivative of -31*v**5/20 - 7*v**4/12 - 21*v. What is the third derivative of n(g) wrt g?
-186
Let f(j) be the second derivative of -j**6/360 - j**5/40 - j**4/3 - 5*j. Let y(v) be the third derivative of f(v). Differentiate y(u) wrt u.
-2
Suppose 7 = 2*q - n, q - 5 - 12 = 5*n. What is the first derivative of -q*g + 3*g + 2 + 3 wrt g?
1
Let x be 0/(-6)*1/(-1). Let f(j) be the third derivative of -1/3*j**3 + 2*j**2 + 0*j + x - 1/60*j**5 + 0*j**4. What is the derivative of f(b) wrt b?
-2*b
Find the second derivative of r - 32*r**2 + 32*r**2 - 14*r**4 wrt r.
-168*r**2
Let w(o) = o**3 + 7*o**2 - 9. Let c(m) = 1 - 2 + 27*m**2 - 26*m**2. Let z(s) = 35*c(s) - 5*w(s). Differentiate z(l) wrt l.
-15*l**2
Let z(m) be the second derivative of m**4/12 - m**3/2 - m**2 - 3*m. Let t(a) be the first derivative of z(a). Differentiate t(r) wrt r.
2
Let w = -1 + 1. Suppose -4*u + 3*u = c + 2, -2*u = 4*c. What is the derivative of -t + 0 - c + w wrt t?
-1
Let u = 3 - -2. What is the third derivative of -v**2 + u*v**2 + 16*v - 16*v - 8*v**3 wrt v?
-48
Let k(x) = 2*x - 2. Let r(o) = 1 + 1 - 5 + 2. Let z(g) = -k(g) + 4*r(g). What is the first derivative of z(l) wrt l?
-2
Suppose 0 = 3*p + 3*p - 72. What is the second derivative of p*l**4 - 14*l**4 - 3*l - 2*l wrt l?
-24*l**2
Let z(t) = -8*t**2 - 2*t + 4. Let v(p) = p**2 + p - 1. Let r(c) = 4*v(c) + z(c). Find the second derivative of r(n) wrt n.
-8
Let f = -20 - -20. Let b(u) be the first derivative of -1/2*u**4 + 0*u**2 + f*u**3 + 1 - 2*u. Differentiate b(l) wrt l.
-6*l**2
Let r(k) = -k**3 + 11*k**2 + 2. Let u be r(11). Find the third derivative of 2*y**2 + u*y**2 - y**3 - y**2 + 0*y**2 wrt y.
-6
Let k = -1 + 3. Find the third derivative of 2*a**6 - a**2 + k - 3*a**6 - 2 wrt a.
-120*a**3
Suppose -i = 4*i - 20. Let q(v) be the first derivative of -3*v**2 + 3*v**2 + v**2 - 2*v**2 - v**i + 1. What is the second derivative of q(c) wrt c?
-24*c
Let d(g) = -8*g - 7. Let q = 7 + -13. Let x(n) = -15*n - 13. Suppose 2*f - 14 - 8 = 0. Let j(k) = f*d(k) + q*x(k). Find the first derivative of j(z) wrt z.
2
Let t be 8*(-2 + (-6)/(-2)). What is the third derivative of 8*s - t*s + 9*s**3 + 0*s**2 + s**2 wrt s?
54
Find the second derivative of 24*i + 11*i**4 - 32 + 32 wrt i.
132*i**2
Let z(d) = d - 1. Let a be z(3). Differentiate 0*k**2 + 0 + 0*k**2 + a*k**3 - 2 wrt k.
6*k**2
Let u(t) be the first derivative of -12*t**5/5 - 17*t + 13. Differentiate u(h) with respect to h.
-48*h**3
Suppose 4*p - 12 = 0, q = -2*q + 5*p + 3. Let v be (8/q)/((-2)/(-3)). Differentiate 3 - 7 + v + z**3 with respect to z.
3*z**2
Let p be (-1 - (-6)/10)*55/(-44). Let l(d) be the second derivative of p*d**2 - 1/6*d**4 + d + 0*d**3 + 0. Differentiate l(v) wrt v.
-4*v
Find the second derivative of 5*z**5 - 3*z + 4*z**5 + z**5 + 13*z wrt z.
200*z**3
What is the first derivative of 14 - 57 - 49*j + 62*j + 28*j wrt j?
41
Let c be ((-1)/(3/9))/(-1). Find the second derivative of 2*d**3 - c*d**3 + d**3 - 3*d**5 - 3*d wrt d.
-60*d**3
Let a = 3 - 3. Let j = 4 + a. Differentiate 2*f**j - f**4 - 2 + 0 wrt f.
4*f**3
Let m(l) be the third derivative of l**7/2520 - l**6/180 - l**5/60 - 5*l**2. Let k(q) be the third derivative of m(q). Find the first derivative of k(c) wrt c.
2
Let h = 1 - 3. Let i be 16/40 + h/5. Differentiate i*s**4 - 3*s**4 + 2*s**4 + 2*s**4 - 2 wrt s.
4*s**3
Let u(x) = -17*x**3 - 25*x + 5. Let r(c) = 9*c**3 + 13*c - 3. Let l(a) = -5*r(a) - 3*u(a). Find the second derivative of l(p) wrt p.
36*p
Let q(r) be the first derivative of 14*r**5/5 + 25*r + 24. What is the derivative of q(d) wrt d?
56*d**3
Let s(m) be the second derivative of -m**5/120 + m**4/8 + m**3/3 + m. Let v(q) be the second derivative of s(q). What is the first derivative of v(a) wrt a?
-1
Find the first derivative of -7*f**4 + 0 - 6*f**4 + 6*f**4 - 4 wrt f.
-28*f**3
Find the third derivative of 7*t**2 + 3*t**2 + 4*t**4 - 15*t**2 wrt t.
96*t
Let f(d) = -9 - 20*d - 6 + 1 - 20*d**3. Let y(n) = 7*n**3 + 7*n + 5. Let p(u) = 5*f(u) + 14*y(u). Find the second derivative of p(h) wrt h.
-12*h
Let a(m) be the second derivative of -2/3*m**3 + 1/2*m**2 + 0 - 4*m. What is the first derivative of a(u) wrt u?
-4
What is the third derivative of 14*t**2 + 4*t**3 + 10 - 2*t**3 - 10 wrt t?
12
Find the second derivative of 33*i - 4*i**2 - 11*i**2 - 8*i**2 wrt i.
-46
Let v = 12 - 10. What is the second derivative of g**2 + g - 2*g**2 - 3*g**2 + 6*g**v wrt g?
4
Let r be (-6)/8 + (-7)/28. Let f be (4/(-10))/(r/10). Find the second derivative of -q**f + q + 4*q**4 - 3*q + 6*q wrt q.
36*q**2
Let h(o) be the first derivative of 0*o - 2*o**2 + 7 + 8/3*o**3. Find the second derivative of h(d) wrt d.
16
Suppose -2*n = -4 - 2. Let z(y) = -1 - y - 3 + n - y**4. Let m(c) = 4*c**4 + 4*c + 3. Let f(s) = -2*m(s) - 6*z(s). Find the second derivative of f(j) wrt j.
-24*j**2
Let a(r) be the first derivative of 5*r**4/6 - 4*r**3/3 + 7*r + 5. Let w(z) be the first derivative of a(z). What is the second derivative of w(p) wrt p?
20
Differentiate -3*i**4 + 1 + 3 + 0 - 1 with respect to i.
-12*i**3
Let p(y) be the second derivative of 7*y**6/10 - 13*y**2/2 + 13*y. Differentiate p(r) wrt r.
84*r**3
What is the first derivative of 22 + 17*p**3 - 4 + 19 wrt p?
51*p**2
Let w be (3/2)/(9/(-60)). Let a be (-8)/w*10/4. What is the second derivative of -a*u - 5 + 5 - u**3 wrt u?
-6*u
Let s(v) = -16*v**2 - 8*v - 11. Let p(r) = 11*r**2 + 5*r + 7. Let k(l) = 8*p(l) + 5*s(l). What is the derivative of k(c) wrt c?
16*c
Let m = -1 + 4. Suppose 0 = -f - 3*f + 12. Find the second derivative of 3*k + f - 2*k**2 - m wrt k.
-4
Let j(x) be the third derivative of x**6/60 + x**5/5 + x**2. What is the third derivative of j(u) wrt u?
12
Find the third derivative of 3*f**6 + 5*f**4 - 2*f**2 - 4*f**4 - f + 6*f**3 - f**4 wrt f.
360*f**3 + 36
Let v = -4 + 7. Let d(w) be the second derivative of 0*w**4 + 0*w**2 + 0 - w - 1/20*w**5 - 1/3*w**v. What is the second derivative of d(k) wrt k?
-6*k
Let y(v) be the first derivative of -v**4/2 - 9*v**2/2 + 3. What is the second derivative of y(d) wrt d?
-12*d
Let j(g) = 5*g**3 + 5*g**2 - 5*g - 5. Let z(h) = h**4 - h**3 + h + 1. Let x(f) = -j(f) - 5*z(f). Find the third derivative of x(w) wrt w.
-120*w
Find the third derivative of -14 + 12*i**2 - 15*i**4 + 14 wrt i.
-360*i
Let m(z) be the second derivative of -z**5/20 - z**4/6 + 6*z. Find the third derivative of m(p) wrt p.
-6
Differentiate 2*b**4 + 44*b**3 - 44*b**3 - 3 with respect to b.
8*b**3
Let w(p) be the third derivative of 0 + 0*p - p**2 + 0*p**6 + 0*p**5 + 0*p**3 + 1/12*p**4 - 1/105*p**7. What is the second derivative of w(s) wrt s?
-24*s**2
Let a(r) be the first derivative of -3*r**5/20 - r**3/2 + 2*r - 2. Let g(l) be the first derivative of a(l). What is the second derivative of g(c) wrt c?
-18*c
What is the second derivative of 0*g + 6*g + 2 - 18*g**2 + 0