- 6. Let o be h*(2 + 22/(-6)). What is the first derivative of -2 + o*m**2 + 7*m**2 - 4*m**2 wrt m?
16*m
Let a(w) = -180*w**3 + 3*w**2 + 27. Let l(v) = v**3 + v**2 - 1. Let h(k) = a(k) + 2*l(k). What is the third derivative of h(s) wrt s?
-1068
Let i(w) be the first derivative of 7*w**6/15 + 7*w**2 - 5*w - 17. Let c(n) be the first derivative of i(n). What is the first derivative of c(m) wrt m?
56*m**3
Suppose 5 = w + 3. Find the second derivative of -6*g**2 + 7*g - 13*g**2 + 7*g**w wrt g.
-24
Let n(l) be the first derivative of 2*l**5/5 - 2*l**4 - 2*l**3 - l + 33. Find the third derivative of n(a) wrt a.
48*a - 48
Find the second derivative of 2*m**2 - 95*m**3 - 2*m**2 + 146*m**3 - 101 + 2*m + 314*m**3 wrt m.
2190*m
Let q(z) = 2*z - 8. Let x be q(5). Let s be 1/2 - x/4. What is the third derivative of -p**4 + 3*p**2 + s*p**4 + p**4 - 12*p**4 wrt p?
-288*p
Let d(y) = 4*y**4 - 4*y - 11. Let m(u) = -11*u + 2*u + 7*u**4 - 35 + 13. Let f(h) = -9*d(h) + 4*m(h). Differentiate f(l) wrt l.
-32*l**3
Let k(c) be the third derivative of 0*c + 1/48*c**8 + 0 + 16*c**2 + 0*c**6 + 0*c**7 - 7/12*c**4 + 0*c**3 + 0*c**5. What is the second derivative of k(l) wrt l?
140*l**3
Let k(o) be the first derivative of 65*o**7/7 + 2*o**3 + 3*o + 26. Find the third derivative of k(d) wrt d.
7800*d**3
Let h = -215 - -215. Let q(i) be the first derivative of 2 - 3*i + h*i**2 + 1/2*i**4 + 0*i**3. What is the first derivative of q(u) wrt u?
6*u**2
Let w(i) be the second derivative of -9*i**5 - i**3/3 + 293*i**2/2 - 436*i - 1. What is the second derivative of w(z) wrt z?
-1080*z
What is the third derivative of -998*y**3 - 3*y**4 + 297*y + 1000*y**3 - y**2 - y**2 wrt y?
-72*y + 12
Suppose -j - 28 = -5*j. Let g(a) be the first derivative of 0 + 4 + 3*a**3 + 7*a + j - 8. Differentiate g(t) with respect to t.
18*t
Let l(t) be the first derivative of -29*t**4/2 + 11*t**3/3 + 3*t**2/2 - 39. Find the third derivative of l(k) wrt k.
-348
Let s(v) = 8*v**2 + 3*v + 12. Let p be -6 - ((-6)/(-3) + 0). Let o(c) = -25*c**2 - 8*c - 35. Let m(n) = p*s(n) - 3*o(n). Differentiate m(x) with respect to x.
22*x
Let s(t) = -150*t**6 + 13*t**4 + 187*t**2 - 39*t - 13. Let o(q) = -q**6 - q**4 + 3*q + 1. Let c(g) = -26*o(g) - 2*s(g). Find the third derivative of c(p) wrt p.
39120*p**3
Differentiate 3 + 29*h - 4*h + 30*h - 78 wrt h.
55
Let a(q) be the second derivative of -39*q**3/2 - 115*q**2/2 - 102*q. What is the derivative of a(r) wrt r?
-117
Let s = -24 - -31. Suppose 8 = s*t - 5*t. What is the second derivative of -f - f**t + f**4 - f**5 + 6*f wrt f?
-20*f**3
Suppose -29 - 31 = -4*y. Find the first derivative of -5 + y*a + 0 - 5 + 4 wrt a.
15
Let u = -317 - -319. Let v = 3 - 1. Find the third derivative of 0*b**2 - 4*b**u + 9*b**3 + 4*b**v - 2*b**2 wrt b.
54
Let v(d) be the third derivative of d**6/60 - d**5/20 - d**4/24 - d**3/6 + 104*d**2. What is the second derivative of v(j) wrt j?
12*j - 6
Find the second derivative of -3*h**3 + 44*h**3 + 4*h**4 + h - 13*h**3 - 28*h**3 + 4*h**2 + 22 wrt h.
48*h**2 + 8
Find the third derivative of 36*f**3 + 4*f**4 - 35*f**3 + 45*f**2 + f**4 - 1 wrt f.
120*f + 6
Let s(u) = -2*u - 1. Let y be s(-3). Find the second derivative of 348*r**5 + 14*r - y*r - 352*r**5 wrt r.
-80*r**3
Let c be 4/(-3)*(3 - 18/4). What is the third derivative of -3*z**2 + z - 3*z**c + 0*z - z**6 - 3*z**4 wrt z?
-120*z**3 - 72*z
Let r(d) be the first derivative of -2*d - 3 + 14 + 4*d**2 - 3*d**2 - 3*d. Find the first derivative of r(p) wrt p.
2
Let h = 46 - 38. Find the second derivative of -7*w + h*w - 2*w**4 + 5*w**4 + 6*w wrt w.
36*w**2
Let z(m) = m**2 - 8*m + 7. Let h be z(7). Suppose -4*d + 7 = 5*u - 1, 4*u = h. Differentiate 2*v + 40 + 5*v - 51 - d*v with respect to v.
5
Let r(c) = c**3 + 4*c**2 + c - 4. Let g be r(-2). Find the third derivative of -9*h**2 + 24*h**g - 200*h**3 + 241*h**3 wrt h.
246
Let k(c) = 2*c + 1. Let h(j) = 43*j**4 + 5*j**3 + 471*j - 4. Let b(o) = h(o) + 4*k(o). What is the second derivative of b(v) wrt v?
516*v**2 + 30*v
Let a(z) be the third derivative of -7*z**4/4 + 7*z**3/6 + z**2 - 93*z. Differentiate a(l) wrt l.
-42
Let x(k) be the first derivative of -11 - 1/6*k**6 + 0*k**5 - 37/4*k**4 - 43/2*k**2 + 0*k**3 + 0*k. Find the second derivative of x(h) wrt h.
-20*h**3 - 222*h
Suppose 0*k = -k + 8. Suppose -y + k = -3*y, -60 = -4*o - y. Find the first derivative of -5 + 2 + 14*w - o*w + 7 wrt w.
-2
Let s = -6 - -11. Suppose 3*q + s = 4*q. Find the second derivative of 5*w - w**5 - 3*w + 3*w + 7*w**q wrt w.
120*w**3
Suppose l + w = -3*w + 21, 54 = 4*l + w. Let z = -11 + l. Find the second derivative of -z*d - d**2 + 6*d**2 - d + 0*d**2 wrt d.
10
Let w(j) be the third derivative of -19/24*j**4 + 15*j**2 + 10/3*j**3 + 0 + 0*j. Differentiate w(b) wrt b.
-19
Let f be ((-24)/84)/((-1)/7). Differentiate 7*h**2 - 6 - 8*h**f - 5 with respect to h.
-2*h
Let z(l) = l**2 + 14*l - 9. Let d be z(-15). Let m be -3 - (-6 - (3 - 5)). What is the second derivative of -13*f**2 + d - 7*f - 5 - m wrt f?
-26
Let p(j) be the third derivative of 0*j**3 - 13*j**2 + 1/168*j**8 + 0 + 0*j**7 + 0*j**4 + 0*j**6 + 4/15*j**5 + 0*j. Find the third derivative of p(k) wrt k.
120*k**2
Let u(c) = -2*c**3 - c**2 + 2*c - 1. Let z be u(1). Let w be ((-1)/(-2))/(z/(-20)). What is the second derivative of -9*k + 3*k - 6*k**4 - 2*k + w*k wrt k?
-72*k**2
Let t(x) be the third derivative of x**5/30 + 5*x**4/4 - 29*x**3/6 + 2*x**2 + 28*x. What is the derivative of t(r) wrt r?
4*r + 30
Let k(r) be the second derivative of 14*r**4 - 73*r**3/3 + r - 2. What is the second derivative of k(l) wrt l?
336
Suppose -2*c - 5*n - 5 = -0*c, 0 = 3*c - 2*n - 40. Suppose 6*b - c = b. Find the second derivative of 7*q - q**3 - 4*q + b*q wrt q.
-6*q
Let q(j) = -28*j**3 - 18*j**2 - 328*j - 11. Let m(h) = 9*h**3 + 6*h**2 + 111*h + 4. Let n(a) = -11*m(a) - 4*q(a). Find the second derivative of n(i) wrt i.
78*i + 12
Let y(x) be the third derivative of 0 - x + 4*x**2 - 23/60*x**5 + 41/6*x**3 + 0*x**4. Differentiate y(q) with respect to q.
-46*q
Let w(b) be the second derivative of 8*b**3 - 13/3*b**4 + b + 2 + 0*b**2. What is the second derivative of w(k) wrt k?
-104
Differentiate -25*g + 82*g - 19 - 21 - 24 with respect to g.
57
Let z(o) be the third derivative of -19/24*o**4 + 0*o**3 - 1/10*o**6 + 0*o - 24*o**2 + 0*o**5 + 0. What is the second derivative of z(b) wrt b?
-72*b
Let d(w) be the third derivative of 0 - 13*w**2 - 1/4*w**4 + 0*w + 8/3*w**3. Differentiate d(j) with respect to j.
-6
Let j(i) be the second derivative of 11*i**7/2520 + i**5/12 + 29*i**4/12 - 6*i. Let o(t) be the third derivative of j(t). What is the derivative of o(d) wrt d?
22*d
Let n(s) = s**3 - 9*s**2 + 7*s + 12. Let d be n(8). What is the second derivative of 2*t - 14*t**d + 3*t - 2*t**4 + 0*t**4 wrt t?
-192*t**2
Let f(h) be the third derivative of 0*h**4 - 49/60*h**5 + 0*h + 0 - h**3 - 47*h**2. Differentiate f(o) wrt o.
-98*o
Let a(n) be the third derivative of -5/12*n**4 + 0*n**6 + 0*n + 0 + 0*n**5 + 0*n**3 - 4*n**2 - 11/210*n**7. What is the second derivative of a(s) wrt s?
-132*s**2
Let n(q) be the first derivative of 4*q**5/5 - 10*q**2 + 81*q + 17. Differentiate n(m) with respect to m.
16*m**3 - 20
Let d(k) be the second derivative of 1/2*k**3 + 0 + 0*k**6 + 0*k**2 + 0*k**4 + 0*k**5 + 8*k + 5/21*k**7. What is the second derivative of d(z) wrt z?
200*z**3
Let w = 21 - 15. Let g = 42 + -40. Find the second derivative of g*u**4 + 3*u**4 - 2*u**4 - w*u wrt u.
36*u**2
Let x(m) be the first derivative of 4*m**6/3 - 11*m**5/5 - 622*m**3/3 - 152. What is the third derivative of x(j) wrt j?
480*j**2 - 264*j
Let j(n) = 182*n - 42. Let y(a) = 364*a - 83. Let b(f) = 11*j(f) - 6*y(f). What is the derivative of b(x) wrt x?
-182
Let q(l) be the third derivative of 15*l**5/4 + l**4/24 + 89*l**3/3 + 2*l**2 - 6*l. What is the second derivative of q(v) wrt v?
450
Let s(r) = -r - 7. Let p(c) = c**2 - 6*c - 10. Let v be p(6). Let w be s(v). Differentiate 2*g**3 - 5 + w*g**3 - 7*g**3 with respect to g.
-6*g**2
Let a(t) be the second derivative of -t**6/15 - 29*t**4/12 - 41*t**3/6 + 3*t + 14. What is the second derivative of a(s) wrt s?
-24*s**2 - 58
Let l = -18 + 20. Find the first derivative of -3 + 3*h**3 - l*h**2 + 5*h**2 - 3*h**2 wrt h.
9*h**2
Differentiate 7