f 365*d**3/6 + 66*d**2 - 40*d. What is the first derivative of p(k) wrt k?
365
Let w(o) = -33*o + 59. Let p be ((-12)/2)/3 - 3. Let n(d) = 16*d - 29. Let v(h) = p*n(h) - 3*w(h). Differentiate v(x) wrt x.
19
Let y = -18 - -27. What is the third derivative of h**4 - y*h**2 + 8*h**3 - 8*h**3 + 9*h**4 wrt h?
240*h
Differentiate 288 + 100*c**2 + 85*c**2 + 2*c + 21*c**2 - 65*c**2 + 99*c**2 with respect to c.
480*c + 2
Let j(k) be the first derivative of -1/2*k**2 + 0*k - 13 + 2*k**3. Find the second derivative of j(t) wrt t.
12
What is the derivative of -3*m**2 + 319 - 105*m + 106*m + 71*m wrt m?
-6*m + 72
Let p = 87 - 83. What is the first derivative of -23*c - 12 - 30 + p wrt c?
-23
Differentiate -30*x**4 + 161 - 244 + 160 wrt x.
-120*x**3
Let l(o) = -2*o**3 + 3*o**2 - o. Let d(n) = 521*n**3 - 98*n**2 - 5*n. Let x(g) = d(g) - 5*l(g). What is the third derivative of x(w) wrt w?
3186
Suppose -10 - 44 = -3*i. Let k be i/2 - 2 - 0. Differentiate -k*d**2 + 3 - 6 + 2 + 0*d**2 with respect to d.
-14*d
Suppose 0 = -3*m - 3*m - 11*m. Let v(a) be the second derivative of m - 3*a**2 + 2/3*a**3 - a. Find the first derivative of v(f) wrt f.
4
Let i(h) be the third derivative of -4*h**7/15 - h**5/60 - 20*h**3/3 - 50*h**2. Find the third derivative of i(t) wrt t.
-1344*t
What is the third derivative of 88*h**2 + 45*h**3 + 13*h**2 - 4*h**2 - 4*h**3 wrt h?
246
Let p(n) = -n**3 - 2*n**2 + 10*n + 13. Let c be p(-4). Suppose 3*q - 416 = 565. Find the third derivative of c*a**5 - 8*a**2 - 327 + q wrt a.
300*a**2
Let t(k) = -11*k**3 + 2*k**2 + 6. Let c = -38 + 33. Let l(z) = -10*z**3 + 2*z**2 + 5. Let v(u) = c*t(u) + 6*l(u). Find the third derivative of v(a) wrt a.
-30
Let o(u) be the first derivative of 99*u**4/4 + 3*u**2/2 - 589*u - 618. What is the first derivative of o(d) wrt d?
297*d**2 + 3
Let s be (317/(-4))/(11/(-44)). Find the first derivative of s + 15*n - n - 330 wrt n.
14
Find the second derivative of 167*m + 23*m**2 + 3*m**3 + m**2 + 135*m - 39*m wrt m.
18*m + 48
Let d(b) be the first derivative of -5*b**4 + b**2/2 - 107*b + 396. What is the second derivative of d(u) wrt u?
-120*u
What is the second derivative of 2*a**4 + a + 116*a**2 - 52*a**2 - 58*a**2 + 56 wrt a?
24*a**2 + 12
Suppose 3*u = 8 + 4. Suppose u*w = 3*w + 2. Find the first derivative of -4 + 1 - 1 - b**2 + 4*b**w wrt b.
6*b
Suppose 8 = 5*x - 22. What is the third derivative of 11*f**2 + 19*f**2 - x*f**3 - 19*f**2 wrt f?
-36
Suppose 4*m + 15 = 3*z + m, -3*m = 0. What is the second derivative of 156*q**5 - 5*q**4 - 161*q**5 - 17*q + z*q**4 wrt q?
-100*q**3
Let v(z) = -13*z + 94. Let x be v(7). Let a(u) be the first derivative of 4 + 0*u + 5/3*u**x + 9/2*u**2. What is the second derivative of a(l) wrt l?
10
Suppose 3 = 2*t - 7. Differentiate t*d**2 - 24*d + 8 + 24*d + 2*d**2 with respect to d.
14*d
Let d = 5 + -4. Let v be (-11)/(-4) - d/(-4). What is the first derivative of -v - 2*l + 5*l - 4*l + 2*l wrt l?
1
Let a(l) be the first derivative of -19*l**5/5 + 41*l + 134. What is the derivative of a(r) wrt r?
-76*r**3
Let n(s) be the first derivative of -23*s**7/105 + 5*s**3/2 + 16*s**2 + 4. Let x(v) be the second derivative of n(v). What is the derivative of x(y) wrt y?
-184*y**3
Let f(v) be the third derivative of 42*v**2 + 0*v**3 + 0 + 0*v**4 + 0*v + 0*v**6 - 29/60*v**5 + 0*v**7 + 1/112*v**8. Find the third derivative of f(m) wrt m.
180*m**2
Find the first derivative of 21*m**2 - 428*m**2 + 152 - 180 - 221 + 35*m**2 wrt m.
-744*m
Let n = -11 + 23. Suppose 4*p = -8 - n, p = -5*s. What is the first derivative of -11*b**4 + b**4 - s + 13*b - 13*b wrt b?
-40*b**3
Let o(p) be the first derivative of 0*p**4 + 7/2*p**6 + 0*p - 26 + 0*p**5 + 19/3*p**3 + 0*p**2. What is the third derivative of o(j) wrt j?
1260*j**2
Let y = -4 - -6. Let t(q) = q**3 - 14*q**2 + 12*q + 16. Let w be t(13). What is the derivative of -a + a - w*a + 6*a + y wrt a?
3
Suppose 43*w = 49*w. Let o(m) be the second derivative of -6*m + 0*m**2 - 1/5*m**6 + w*m**5 + 0 + 0*m**4 - m**3. What is the second derivative of o(u) wrt u?
-72*u**2
Let s(x) be the second derivative of -55*x**7/42 + x**5/20 + x**3/6 - 11*x**2 + 8*x + 6. Find the second derivative of s(y) wrt y.
-1100*y**3 + 6*y
Let y(i) = 24*i**4 + 3*i**3 - 8*i**2 - 2*i + 6. Let j(d) = d**3 - d**2 - d. Let f(c) = 3*j(c) - y(c). What is the second derivative of f(p) wrt p?
-288*p**2 + 10
Let x(q) be the third derivative of 0*q - 1/6*q**5 + 3/8*q**4 + 0*q**3 - q**2 + 0. Find the second derivative of x(p) wrt p.
-20
Let l(s) be the first derivative of 8*s**5/5 + 11*s**2 - 175*s + 103. Differentiate l(t) with respect to t.
32*t**3 + 22
What is the third derivative of -31*w**5 + 3 + 207*w**2 + 3*w**6 + 31*w**5 - 3 + 48*w**4 wrt w?
360*w**3 + 1152*w
Let q(m) = 4*m**4 - 5*m**3 + 5*m**2 - 14*m. Let i(z) = 5*z**4 - 5*z**3 + 4*z**2 - 13*z. Let c(n) = 3*i(n) - 4*q(n). What is the third derivative of c(d) wrt d?
-24*d + 30
Let s(h) be the second derivative of -31*h**4/6 + 99*h**2 - 32*h - 5. Find the first derivative of s(u) wrt u.
-124*u
Let b be (4 + 46/(-12))/((-2)/(-36)). Let l(x) be the third derivative of 7/6*x**b + 12*x**2 + 13/24*x**4 + 0*x + 0. What is the first derivative of l(y) wrt y?
13
Let k(v) be the third derivative of -37*v**9/504 - v**6/60 - 91*v**5/30 - 95*v**2. What is the third derivative of k(y) wrt y?
-4440*y**3 - 12
What is the second derivative of -301*u + 187*u**2 - 155 + 153 + 0*u**2 wrt u?
374
What is the second derivative of -60 + 60 + 190*d - 438*d - 16*d**4 wrt d?
-192*d**2
Let b(c) be the first derivative of 0*c**5 + 0*c**2 + 25/3*c**3 + 13/7*c**7 + 0*c - 24 + 0*c**4 + 0*c**6. Find the third derivative of b(f) wrt f.
1560*f**3
What is the second derivative of -147 + 147 + 149*g**2 + 7*g wrt g?
298
Let v be (-2)/(-6) + 20/12. Find the second derivative of 5*g + g**v - g**2 + 3*g + 8*g**4 wrt g.
96*g**2
Suppose 0 = -3*d - 3*u - 0*u - 12, 4*d = 4*u + 16. Suppose -m + 4 = d, -3*b + m + 4 = -1. What is the second derivative of -z - 6*z + 6*z + z**3 - b*z wrt z?
6*z
Let w(t) be the second derivative of 0 + 0*t**2 - 1/2*t**3 - 11/4*t**4 - 9*t. Find the second derivative of w(a) wrt a.
-66
Let w(u) be the second derivative of -19*u**7/42 - u**5/10 + 56*u**4/3 - 245*u. Find the third derivative of w(s) wrt s.
-1140*s**2 - 12
Let s(t) = 2*t**2 - 4*t + 4. Let r be ((-6)/21)/(1/(-7)). Let b be s(r). Find the first derivative of -82*y + 77*y - b - 1 wrt y.
-5
Let t(q) = 2*q**2 + q - 2. Let o be t(-5). Differentiate -14 - o*p**3 + 21 - 14 wrt p.
-129*p**2
Let b(q) be the third derivative of 0*q**4 + 2/105*q**7 + 0 + 0*q**6 - 8*q**2 + 0*q - 13/6*q**3 + 0*q**5. Find the first derivative of b(p) wrt p.
16*p**3
Let p(r) be the first derivative of 7*r**5/20 + 11*r**4/12 + 6*r + 1. Let b(z) be the first derivative of p(z). Find the third derivative of b(l) wrt l.
42
Suppose 3*t - 10*t + 5677 = 0. Find the first derivative of -811*o + 18*o**3 + t*o + 2 wrt o.
54*o**2
Suppose -3*s + 75 = 21. Let z = s - 15. What is the third derivative of 3*h**5 - 2*h**4 + z*h**5 - 5*h**2 + 2*h**4 wrt h?
360*h**2
Let x = 27 - 24. Suppose -3*g + 6*g - 9 = 0. What is the derivative of 7*v**x + 5 - 1 - g + 5 wrt v?
21*v**2
Let i be 6/(-5) + -3 + 315/75. Let u(n) be the second derivative of 11/6*n**3 + 15*n - 5/6*n**4 + i*n**2 + 0. Find the second derivative of u(a) wrt a.
-20
Find the second derivative of 128*s**5 - 79*s**2 + 129*s**5 + 5*s + 61 - 391*s**5 + 130*s**5 wrt s.
-80*s**3 - 158
Let x(r) be the first derivative of 77*r**6/2 - 121*r**2 + 154. What is the second derivative of x(g) wrt g?
4620*g**3
Let x be (22/(-3))/(15/(-9) + 1). Differentiate 0*t + x + 16*t + 9 + 2 with respect to t.
16
Let z(r) be the first derivative of 35*r**3/3 - 43*r**2/2 - 40. Find the second derivative of z(s) wrt s.
70
Let s(b) be the third derivative of -137*b**8/336 - b**7/210 - 22*b**5/5 - 332*b**2. What is the third derivative of s(h) wrt h?
-8220*h**2 - 24*h
Let t(w) be the first derivative of -68*w**3/3 + w**2/2 + 404*w + 10. What is the first derivative of t(d) wrt d?
-136*d + 1
Suppose w + 2*r = 2*w, -2*w - 2*r - 6 = 0. Let a be 0/w + 6 + -4. What is the third derivative of 3*l**2 + l**3 - l**2 + 3*l**a wrt l?
6
Let i(m) = -19*m**2 - 4 - 11*m - 7 - 30. Let k(x) = -9*x**2 - 6*x - 21. Let f(w) = -6*i(w) + 