wrt r?
-168*r
Suppose s - 12 = -2*s. What is the second derivative of p**s + 4 + 4*p**4 - 8*p - 4 wrt p?
60*p**2
Let v(n) = 3*n - 7. Let j be v(3). Find the third derivative of -b**2 - 3*b**2 - 6*b**3 + 4*b**2 + 4*b**j wrt b.
-36
Find the third derivative of -76*b**3 + 4*b - 86*b**3 - 8*b**2 + 128*b**3 wrt b.
-204
What is the derivative of 36*l**4 - 42 + 33 - 2*l + 2*l wrt l?
144*l**3
Let p(d) = -16*d + 5. Let a(b) = -5*b + 2. Let z(o) = -7*a(o) + 2*p(o). Find the first derivative of z(y) wrt y.
3
Let p(c) be the third derivative of -1/6*c**4 - 1/40*c**6 + 0*c**5 + 0*c + 0 + 0*c**3 - 2*c**2. Find the second derivative of p(y) wrt y.
-18*y
Let y(j) be the first derivative of j**3 - 5*j**2/2 - 4. Find the second derivative of y(l) wrt l.
6
Let c(u) be the second derivative of -u**4/3 - 3*u**2/2 - 2*u. What is the derivative of c(x) wrt x?
-8*x
Let k be (-56)/1*(-1)/2. Suppose 2*c = -2*i + 16, -3*c - i + k = 2*c. What is the second derivative of w + c*w**3 + 0*w - 4*w**3 wrt w?
6*w
What is the third derivative of 34*h**2 + 10*h**4 + 9*h**4 - 49*h**4 wrt h?
-720*h
Find the second derivative of o - 4*o + 2*o**3 + 4*o**3 wrt o.
36*o
Let m(f) be the second derivative of 0*f**2 + 5/6*f**3 - 1/5*f**5 + 0*f**4 - f + 0. What is the second derivative of m(v) wrt v?
-24*v
Let u(n) be the second derivative of 0*n**6 + 0*n**2 + 1/3*n**3 + 0 + 6*n + 0*n**4 + 0*n**5 + 2/21*n**7. What is the second derivative of u(x) wrt x?
80*x**3
Let z(n) be the third derivative of 5*n**2 + 0 - 1/40*n**6 + 1/12*n**5 + 0*n**3 + 0*n + 0*n**4. What is the third derivative of z(r) wrt r?
-18
Let z = -11 + 15. What is the second derivative of 2*k**2 - 7*k + 2*k + z*k wrt k?
4
Suppose -v - 2*v - 9 = 0. Let c = v + 5. Differentiate c*y**2 + 2 - 2 - 2 wrt y.
4*y
Let m(u) be the third derivative of -u**6/20 + u**4/24 + 13*u**3/2 - 2*u**2 + 13*u. What is the first derivative of m(f) wrt f?
-18*f**2 + 1
Suppose 3*f + 3 - 26 = -5*u, 2*u - 2*f = 22. What is the derivative of u + 23*r**2 - 12*r**2 - 15*r**2 wrt r?
-8*r
Let u(p) = 6*p**4 + 3*p + 9. Let x(l) = -5*l**4 - 4*l - 10. Let c = -7 - -3. Let z(a) = c*u(a) - 3*x(a). Find the first derivative of z(v) wrt v.
-36*v**3
Let f(r) be the third derivative of -1/12*r**5 + 0*r**3 - r**2 - 1/112*r**8 + 0*r + 0 + 0*r**4 + 0*r**6 + 0*r**7. Find the third derivative of f(a) wrt a.
-180*a**2
Let k(h) = -h - 2. Suppose 3*i - 3 = 6*i, -5*m - i - 21 = 0. Let v be k(m). Find the second derivative of -3*n**3 - 3*n**2 + n + v*n**2 + n**2 wrt n.
-18*n
Let b = -20 - -22. Let f(k) be the second derivative of 1/12*k**4 - b*k - 1/2*k**3 + 0 + 0*k**2. What is the second derivative of f(v) wrt v?
2
Let g(b) be the second derivative of -b**8/28 + b**4/4 + 6*b. What is the third derivative of g(y) wrt y?
-240*y**3
What is the third derivative of 578*y**3 - 540*y**3 - 5 + 4*y**2 - 3*y**2 wrt y?
228
Suppose 20 = -5*i - 4*t, t = -i - 3*i - 5. Differentiate 0*z - 3 + i*z + 5 + z**3 with respect to z.
3*z**2
Let j(a) be the second derivative of -a**4/4 + 16*a**2 + 8*a - 2. Differentiate j(d) wrt d.
-6*d
Let a(l) be the third derivative of l**6/15 - 13*l**5/60 + 19*l**2 + 1. What is the third derivative of a(j) wrt j?
48
Let d(y) be the first derivative of -y**7/70 + y**5/20 - y**2/2 - 3. Let w(n) be the second derivative of d(n). What is the third derivative of w(r) wrt r?
-72*r
Find the second derivative of 4*t**5 + 14*t + 7*t**5 + 4*t - 9*t wrt t.
220*t**3
What is the derivative of -1 + 8 + 0 - 13*t**3 wrt t?
-39*t**2
Let y(r) be the third derivative of 2*r**5/15 - 2*r**3/3 + 16*r**2. What is the first derivative of y(c) wrt c?
16*c
Let a(z) be the third derivative of -29*z**8/336 + 15*z**4/8 - 25*z**2. What is the second derivative of a(i) wrt i?
-580*i**3
Let a(y) = y**3 - 4*y**2 + y - 1. Let b be a(4). What is the first derivative of -2*f**3 - b + 2*f**3 + 0 - 4*f**3 wrt f?
-12*f**2
Let x = -1 + 3. Find the third derivative of b**2 + 0*b**x - b**5 + b**2 - 2*b**5 wrt b.
-180*b**2
Suppose 6*t = 3*t + 12. Let z(d) = 10 + 12*d**3 - t*d**2 - 2*d**2 - 5*d**2. Let g(i) = -i**3 + i**2 - 1. Let v(p) = 22*g(p) + 2*z(p). Differentiate v(q) wrt q.
6*q**2
Let h(v) = -v**2. Let x(r) = -9*r**2 - 22*r. Let n(o) = -3*h(o) + x(o). Find the second derivative of n(i) wrt i.
-12
Let m(u) be the third derivative of 5*u**2 + 0*u + 0*u**4 - 5/6*u**3 + 0*u**5 + 0 + 1/60*u**6. Differentiate m(b) wrt b.
6*b**2
What is the third derivative of -3*i**2 - 330*i**6 + 328*i**6 + 15*i**2 wrt i?
-240*i**3
Let o(z) = -z**3 - z**2 - z + 2. Let r be o(0). What is the third derivative of -5*u**r + 5*u**4 - u**4 + 3*u**2 + 0*u**2 wrt u?
96*u
Let q be -6 + 2/6*0. Let v be (q/4)/((-9)/12). What is the first derivative of 3*y + y - 1 - v*y**2 - 4*y wrt y?
-4*y
Let r(s) be the second derivative of -s**6/360 - s**5/30 - s**4/6 + 6*s. Let f(a) be the third derivative of r(a). What is the first derivative of f(h) wrt h?
-2
Suppose 2 - 14 = -3*t. Suppose w - t*w = -15. Find the second derivative of -l - 4*l**w - 2*l + 2*l**5 wrt l.
-40*l**3
Let u(v) be the third derivative of 3*v**6/20 - v**5/2 - 3*v**2 - 2. Find the third derivative of u(a) wrt a.
108
Find the first derivative of -6 - 2 + 3 - 12*g wrt g.
-12
Find the third derivative of -26*a**2 - 3118*a - 30*a**3 + 3118*a wrt a.
-180
Differentiate 0*d - 366 + 385 + 0*d - 52*d**2 wrt d.
-104*d
Let d(u) be the second derivative of -2*u**5/5 + u**4/2 + 6*u. What is the third derivative of d(m) wrt m?
-48
Let u(o) be the third derivative of -2*o**8/21 + o**4/12 - 5*o**2. Find the second derivative of u(d) wrt d.
-640*d**3
Let x(o) be the first derivative of o**7/420 - o**6/120 + 5*o**3/3 - 5. Let f(n) be the third derivative of x(n). Find the third derivative of f(b) wrt b.
12
Let i(d) be the first derivative of 6*d**5/5 - 7*d**3/3 + 4. Find the third derivative of i(p) wrt p.
144*p
Find the first derivative of -14*a**2 + 6*a**2 + 14*a**2 + 34 wrt a.
12*a
Let g(f) = -27*f**2 + 4*f - 11. Let l(r) = 28*r**2 - 5*r + 12. Let a(h) = 5*g(h) + 4*l(h). What is the derivative of a(b) wrt b?
-46*b
Let w(x) = 2*x**6 - x**4 + x**3 - 4*x**2 + x. Let j(q) = q**4 - q**3 + q**2 - q. Let v(o) = j(o) + w(o). Find the third derivative of v(g) wrt g.
240*g**3
Let r(p) = -p**3 - 9*p**2 - 32 + 32 + 0*p - 6*p. Let f(m) = 2*m**3 + 26*m**2 + 17*m. Let h(s) = 6*f(s) + 17*r(s). Find the third derivative of h(z) wrt z.
-30
Let l(s) be the third derivative of s**6/15 - s**5/6 - 6*s**2. Find the third derivative of l(j) wrt j.
48
Let i(k) be the second derivative of -3*k**3/2 - 5*k**2 + 7*k. What is the derivative of i(v) wrt v?
-9
Let x(t) = t**2 - t. Let y(o) = o**2 - 7*o + 2. Let i(b) = -2*x(b) + y(b). Let c be i(-5). What is the second derivative of c*v**2 + v + v - 3*v**2 - v wrt v?
-2
Let t(i) = 6*i + 76. Let o(q) = q + 15. Let w(n) = 28*o(n) - 6*t(n). Differentiate w(p) with respect to p.
-8
Let x(i) = -24*i**6 - 10*i**2 + 8*i + 8. Let a(p) = -8*p**6 - 3*p**2 + 3*p + 3. Let c(s) = -8*a(s) + 3*x(s). Find the third derivative of c(r) wrt r.
-960*r**3
Let x(b) = -2*b + 1. Let c be x(1). Let z be c/5 - (-3)/15. What is the third derivative of -3*r**2 + 0*r**2 + z*r**2 + 7*r**6 - 4*r**6 wrt r?
360*r**3
Suppose -5*h + 52 = -8. Suppose -4*x = -5*f + 36, 2*f - 7*f - 2*x + h = 0. Find the first derivative of q**2 - f*q**2 + 2 + q**2 + q**2 wrt q.
-2*q
Find the first derivative of 7 + 2*p**3 - 1 - 7*p**3 + 1 wrt p.
-15*p**2
Let n = 0 + 2. Differentiate -n + 4*r**4 + 4 - 8 - 4 wrt r.
16*r**3
Let h be ((-1)/(-3))/((-5)/15). Let a be 2*(1 + (0 - h)). What is the first derivative of -v**4 + v**a - 3*v**4 - 1 wrt v?
-12*v**3
Let r(v) = -v**4 + 2*v**3 + 2*v**2 - 2*v - 1. Let i(u) = -5*u**4 + 11*u**3 + 11*u**2 - 11*u - 6. Let j(t) = 2*i(t) - 11*r(t). Differentiate j(b) wrt b.
4*b**3
Suppose -2*c + 0*c = 0. Let u(b) = c*b**2 - 3 + b**2 - 2. Let j(z) = -z**2 + 1. Let o(r) = -2*j(r) - u(r). Differentiate o(h) wrt h.
2*h
Let g(l) be the second derivative of 0 + 1/4*l**4 - 10*l + 5/2*l**2 + 0*l**3. Differentiate g(h) with respect to h.
6*h
Let w(k) = -11*k**2 + 3. Let r(l) = 6*l**2 - 1. Let q(y) = 5*r(y) + 2*w(y). Differentiate q(s) with respect to s.
16*s
Let g(j) be the second derivative of -j**7/14 - j**4/6 - 8*j. Find the third derivative of g(w) wrt w.
-180*w**2
Suppose 0 = -3*g + 6*g - 3. Let r