f b(r) wrt r?
2
Let c(t) = -47*t**2 - 59*t + 9. Let d(x) = -24*x**2 - 29*x + 4. Let w(v) = -4*c(v) + 9*d(v). Find the second derivative of w(m) wrt m.
-56
Let b(a) be the second derivative of 5*a**4/4 - 15*a**2/2 - 4*a. What is the derivative of b(n) wrt n?
30*n
Suppose -i = 2*b + 3*i + 8, 3*b + 2*i = 4. Find the third derivative of -y**2 - b*y**2 + 2*y**3 - 3*y**3 + 3*y**2 wrt y.
-6
Let n = 8 + -5. Let x = n - 1. What is the third derivative of -2*a**2 - 3*a**4 + 4*a**2 + x*a**4 wrt a?
-24*a
Let m = 8 + -2. Let b = 8 - m. What is the second derivative of 0*v - b*v + 2*v**2 + 4*v - 3*v wrt v?
4
Let m(p) be the third derivative of -p**6/60 - p**5/20 - p**4/12 + p**2. Let n be m(-2). Find the third derivative of -n*x + 2*x**2 + 8*x - 3*x**3 wrt x.
-18
Let f(q) = -8*q**3 + 6*q**2 - 7. Let j be 3/(-4)*60/(-9). Let k(d) = 7*d**3 - 5*d**2 + 6. Let r(l) = j*f(l) + 6*k(l). Differentiate r(v) wrt v.
6*v**2
What is the third derivative of -8*l**3 - 41*l**2 + 36*l**4 + 5*l**3 + 0*l**3 + 4*l**3 wrt l?
864*l + 6
Let j(y) = y**2 + 4*y + 3. Let i be j(-3). Find the third derivative of 0 - 3*l**2 - l**4 + i wrt l.
-24*l
Let y(r) be the third derivative of r**8/336 + r**4/8 + 2*r**3/3 - 6*r**2. Let q(h) be the first derivative of y(h). What is the first derivative of q(b) wrt b?
20*b**3
Let a(n) be the second derivative of 0 - n + 3/2*n**2 + 1/6*n**4 + 0*n**3. Differentiate a(u) with respect to u.
4*u
What is the first derivative of 14*b**2 - 34*b**2 + 6*b**2 + 20 wrt b?
-28*b
Let i(n) = -2*n - 9. Let w be i(-6). Find the first derivative of x**w - 2 - 6*x + 6*x wrt x.
3*x**2
What is the first derivative of 5*i**2 - 7 - 4*i**2 + 0 wrt i?
2*i
Suppose 2*r + 5*h - 3 = 1, r + 2*h = 2. What is the derivative of 6*t**2 + 9 - 7*t**r + 9*t**2 wrt t?
16*t
Let u be 1/(18/8 + -2). Find the second derivative of -2*b - 3*b**4 - u*b + 3*b wrt b.
-36*b**2
Let w(z) be the third derivative of z**8/42 - z**5/60 - 2*z**2. Find the third derivative of w(t) wrt t.
480*t**2
Let s(j) be the third derivative of 4*j**5/15 + 7*j**4/8 - 14*j**2. What is the second derivative of s(q) wrt q?
32
Find the second derivative of -z - 2 + 5 - 6*z - 25*z**4 - 547*z**2 + 545*z**2 wrt z.
-300*z**2 - 4
Let t(f) = f**4 + f**3 - f**2 - 1. Let s(d) = -28*d**4 - 2*d**3 + 2*d**2 - 7*d + 2. Let l(y) = -s(y) - 2*t(y). What is the second derivative of l(v) wrt v?
312*v**2
Suppose -t = -6*t, 0 = 4*k + 3*t + 24. Let s = k + 10. Find the second derivative of -2*d - d + s*d**4 - 3*d**4 wrt d.
12*d**2
What is the third derivative of 3*m - 6*m - 13*m**2 + 2*m - m + 24*m**3 wrt m?
144
Let z(j) be the third derivative of -13*j**6/120 - 8*j**3/3 + 16*j**2. What is the derivative of z(f) wrt f?
-39*f**2
Let p be ((-3)/6)/(3/(-24)). Find the second derivative of a**5 + 3*a - 8*a**4 + 8*a**p wrt a.
20*a**3
Let v be (3/(-2))/((-4)/8). Find the second derivative of 10*p**3 - 17*p**v - 5*p + 3*p**3 wrt p.
-24*p
Let u(t) = -5*t**3 + 3*t**2 - 2*t. Let q(l) = -10*l**3 + 5*l**2 - 4*l. Let f(v) = -3*q(v) + 5*u(v). Find the second derivative of f(r) wrt r.
30*r
Find the second derivative of 4*m**2 + 10*m - 6*m**2 - 5*m**2 wrt m.
-14
Let c(j) be the third derivative of j**8/28 + j**5/6 - j**2. What is the third derivative of c(o) wrt o?
720*o**2
Let z(w) be the first derivative of -4*w**2 + 6*w - 7. Differentiate z(d) wrt d.
-8
Suppose 0*p = 4*p - 8. What is the third derivative of p*y**3 - 4*y**2 + 27*y**6 - 29*y**6 - 2*y**3 wrt y?
-240*y**3
Let b(m) be the first derivative of -2*m**7/21 + 2*m**3/3 - 2*m + 4. Let o(g) be the first derivative of b(g). What is the second derivative of o(y) wrt y?
-80*y**3
Find the second derivative of -12 + 3*x + 34*x**2 - 5*x - 2*x + 6*x wrt x.
68
Let d(n) be the second derivative of -4*n**3 - 3*n**2/2 + 20*n. Differentiate d(i) with respect to i.
-24
Let h(k) = -2*k. Let f be h(7). Let u = f - -20. Find the second derivative of -2*d**4 + d + u*d**4 - 2*d**4 wrt d.
24*d**2
Let u be (-69)/(-12) - (-2)/8. Suppose 2*j = -5*n + 4, 2*n + 2*j - 19 = 7*j. Find the first derivative of u*s**3 - n*s**3 + 1 - 3*s**3 wrt s.
3*s**2
Let f = 1 + 3. Let w = f + 0. What is the second derivative of n**w + 0*n**4 + n**4 - 2*n wrt n?
24*n**2
What is the second derivative of 3*m**3 + 4 - 20*m**3 + 3 + 2*m**5 + 2*m wrt m?
40*m**3 - 102*m
Suppose 4*i - 6 = -2*y - 2, -4*i = 4. Suppose -f - 1 = y*m + 2*f, 2*m + 8 = -4*f. Find the third derivative of -3*s**3 + s**m + s**6 + 3*s**3 wrt s.
120*s**3
Let r(z) be the third derivative of -17*z**6/60 - z**5/30 - z**4/24 + 61*z**2. Find the third derivative of r(a) wrt a.
-204
Let d(a) be the second derivative of a**7/70 + a**3/3 + a**2 - 4*a. Let m(b) be the first derivative of d(b). Differentiate m(r) wrt r.
12*r**3
Let x be 1*-3*1/(-3). Find the first derivative of 0 + 5*u**2 - x + 5 wrt u.
10*u
Let i(f) = -f**2 - 8*f - 7. Let a be i(-7). Let v(m) be the second derivative of m**2 + a*m**3 + 2*m + 1/4*m**4 + 0. Differentiate v(o) wrt o.
6*o
Let v(p) = p**2 + 9*p - 8. Let u be v(-10). What is the second derivative of u*h**4 + h - h**4 - 3*h**4 wrt h?
-24*h**2
Let r(i) = 3*i**3 - i**2 + 2*i - 2. Let b be r(1). What is the first derivative of 11*u - b - u + 0*u wrt u?
10
Let g(u) be the second derivative of -u**8/336 - u**5/60 + 2*u**2 + 4*u. Let w(k) be the first derivative of g(k). Find the third derivative of w(s) wrt s.
-60*s**2
Let p(m) be the third derivative of -3*m**8/56 - m**5/15 - 9*m**2. Find the third derivative of p(k) wrt k.
-1080*k**2
Let h(i) be the third derivative of i**6/24 - i**5/30 - 6*i**2. Find the third derivative of h(m) wrt m.
30
Let o = -12 - -22. Find the third derivative of -6*u**4 - 6*u**2 + 3*u**2 + o*u**2 wrt u.
-144*u
Let m(p) = -p**2 + 6*p - 6. Let g be m(6). Let l = g + 11. Find the third derivative of 3*x**2 - l + 5 + 2*x**3 - x**2 wrt x.
12
What is the second derivative of 3*l - 7*l**3 + 5*l**3 + 0*l - 2*l**3 wrt l?
-24*l
Suppose 5*b - 7 - 8 = 0. Suppose b*z + 1 = 10. Differentiate -z*u**2 + 2 + 2*u**2 + 0 with respect to u.
-2*u
Let s(u) = u**3 + u**2. Let q(n) = -5*n**3 - 3*n**2. Let j(y) = -q(y) + 2*s(y). What is the third derivative of j(i) wrt i?
42
Let l be (-2 - -2)*1/9*-3. Let v(q) be the first derivative of l*q**4 + 0*q - 3/5*q**5 + 0*q**3 + 3 + 1/2*q**2. What is the second derivative of v(j) wrt j?
-36*j**2
Let i(f) be the second derivative of 2*f + 1/20*f**5 + 0*f**4 + 1/6*f**3 + 0*f**2 + 0. Find the second derivative of i(j) wrt j.
6*j
Let y(i) be the first derivative of i**9/1512 + i**6/72 - 2*i**3/3 + 1. Let u(f) be the third derivative of y(f). Find the third derivative of u(g) wrt g.
120*g**2
Let i be (-4)/(0 - (-2 - -3)). Find the third derivative of -i*x**4 + x**2 + 7*x**2 - x**2 - 3*x**4 wrt x.
-168*x
Differentiate -5 - 11 - 46*z**3 + 21*z**3 + 26*z**3 with respect to z.
3*z**2
Let r(a) = -111*a**3 - 119*a**2 + 14*a - 7. Let n(k) = -56*k**3 - 59*k**2 + 6*k - 3. Let p(b) = -7*n(b) + 3*r(b). What is the third derivative of p(o) wrt o?
354
Differentiate 3*l**4 - 1 + 3 - 6 - 2 wrt l.
12*l**3
What is the derivative of 225 - 7*k - 88 - 88 wrt k?
-7
Suppose -5*b + 10 = -0*b. Find the second derivative of 6*d + 5 - 3*d - 5 + 2*d**b wrt d.
4
Find the second derivative of -3*h**4 - 8*h + 4*h**3 + h**3 - 5*h**3 wrt h.
-36*h**2
Suppose -2*q + 2*l = l - 37, 4*q + 3*l - 89 = 0. Suppose -3*b - 5*a = -4*b - q, 4*b - 16 = -4*a. Find the first derivative of b - 1 + 0 - 3*r**3 wrt r.
-9*r**2
Let h(s) be the second derivative of 23*s**4/12 + 3*s**2/2 - 13*s. Differentiate h(t) with respect to t.
46*t
Suppose 4*r = 5 + 7. Find the second derivative of k - 3*k**4 + r*k**5 + 6*k**4 - 3*k**4 wrt k.
60*k**3
Let s(w) = 14*w**2 - 8*w + 14. Let a(o) be the third derivative of -o**5/12 + o**4/8 - 5*o**3/6 + 3*o**2. Let u(b) = -8*a(b) - 3*s(b). Differentiate u(z) wrt z.
-4*z
Let r(p) be the first derivative of -19*p**6/2 - 5*p**3 - p**2/2 - 35. What is the third derivative of r(n) wrt n?
-3420*n**2
Let r(p) be the first derivative of 13*p**6/6 + 6*p**2 + 9. Find the second derivative of r(t) wrt t.
260*t**3
Let q be (-4)/(24/15)*2. Let j = -3 - q. What is the first derivative of 2 + 0 - 3*p**2 + 3*p**3 + 3*p**j wrt p?
9*p**2
Suppose 4*i = -5*d + 2 + 3, -5 = i. Suppose 4*p + 18 = 3*n, 2*n - 7 = 6*p - d*p. What is the second derivative of -7*v**n + 2