2 - 2*r - 2. Let v(l) = -2*l**3 + l + 1. Let d(z) = -h(z) - 2*v(z). Find the third derivative of d(b) wrt b.
72*b + 1824
Suppose 9*d - 15*d = -18. Let i(u) be the third derivative of 0 + 0*u + 5/6*u**d + 1/60*u**5 + 0*u**4 + 2*u**2. Differentiate i(y) with respect to y.
2*y
Let s = -8 + 23. Suppose s*a = 16*a. What is the first derivative of 1 - 14 + 10*w**3 + a*w**3 wrt w?
30*w**2
Suppose -8 = -12*x + 10*x. Find the second derivative of -f + 24*f**4 - 24*f**x - 8*f**5 wrt f.
-160*f**3
Let a(x) be the second derivative of 2*x**6/15 + 23*x**3/6 - 127*x**2/2 - 277*x. What is the first derivative of a(o) wrt o?
16*o**3 + 23
Let z(x) be the first derivative of 5*x**4/4 + 41*x - 31. Differentiate z(n) with respect to n.
15*n**2
Let h(y) be the second derivative of 13*y**8/28 - y**6/30 + 35*y**4/6 + 32*y. Find the third derivative of h(a) wrt a.
3120*a**3 - 24*a
Let s = 13 + 15. Let i = s + -1. What is the second derivative of -l**5 - 27 - 4*l + i wrt l?
-20*l**3
What is the third derivative of 206*p**3 - 20*p**3 + 23*p**2 - 12*p**3 wrt p?
1044
Let y(z) = -z**3 + 4*z**2 + 12*z + 134. Let q(o) = o**3 - 3*o**2 - 14*o - 134. Let r(g) = 4*q(g) + 3*y(g). What is the derivative of r(a) wrt a?
3*a**2 - 20
Suppose h = -3*h + 12. What is the third derivative of 7*j**3 - 21*j**h - 17*j**3 - 19*j**2 - j**3 wrt j?
-192
Let p(x) be the second derivative of -x**4 + 6*x**3 + 16*x**2 - 5*x. Let a(y) be the first derivative of p(y). What is the first derivative of a(i) wrt i?
-24
Let m = -13 - -10. Let s be (4/8)/(m/(-12)). Find the second derivative of -5*k + 5*k**2 - 3*k**2 + 3*k**2 + 0*k**s wrt k.
10
Let x(s) = s**3 - 8*s**2 + 10*s - 16. Let q be x(7). What is the third derivative of -7171*p - 35*p**q + 7171*p + 36*p**2 wrt p?
-2100*p**2
Let l(p) be the third derivative of 5/4*p**4 + 0*p + 0*p**3 + 0 - 23*p**2 - 3/5*p**5. What is the second derivative of l(i) wrt i?
-72
What is the third derivative of -20*a + 66*a**3 + 6*a**2 - 9*a**2 - 65*a**3 + 4*a**4 + 0*a**4 wrt a?
96*a + 6
Suppose -g + 3*h - 8 = 0, 5*h + 7 - 17 = 0. Let w be (-2)/12 + g/(-12). Differentiate 2*c + w + 0 - 4 wrt c.
2
What is the second derivative of -45*c**3 + 79*c + 73*c**3 + 41*c**3 + 72*c**3 wrt c?
846*c
Let m = 37 + -33. Find the first derivative of 33*i**4 - 46*i**m - 1 - 16 wrt i.
-52*i**3
Let l(f) = 27*f + 34. Let s(z) = -z. Let u = 105 - 99. Let t(o) = u*s(o) + l(o). Differentiate t(c) with respect to c.
21
Find the third derivative of -143*z**4 - 3*z**5 - 4 + 151*z**4 - z**2 + 3*z**2 wrt z.
-180*z**2 + 192*z
Suppose -4*x - b = b - 8, 4*b = 5*x - 23. What is the second derivative of -7*v**5 - v**5 - 5*v**5 - 20*v - x*v**5 wrt v?
-320*v**3
Let o(t) be the third derivative of 0 + 0*t**4 + 0*t - 13/60*t**5 + 13/3*t**3 + 3*t**2. What is the first derivative of o(r) wrt r?
-26*r
Let j = -46 + 52. Find the third derivative of j*o**2 - 6*o**6 + 0*o**2 + 4*o**6 + 8*o**6 wrt o.
720*o**3
Let x be (-140)/100 - (-21)/15. Let g(a) be the third derivative of a**3 + x*a + 0 + 1/3*a**4 + 5*a**2. What is the derivative of g(z) wrt z?
8
Let q(u) = -u**2 + u - 1. Let z(y) = -34*y**4 + 4*y**2 - 4*y + 151. Let a(p) = 4*q(p) + z(p). Differentiate a(o) wrt o.
-136*o**3
What is the first derivative of -39 + 498*r**2 - 31 - 244*r**2 + 272*r**2 wrt r?
1052*r
Let j(y) = y + 2. Let v(q) = 4*q - 18. Let d be v(5). Let a(i) = 7 + 2*i - 8 - 3*i. Let n(z) = d*j(z) - 2*a(z). Differentiate n(t) wrt t.
4
What is the third derivative of -4*l**5 - 18*l**2 - 7*l**2 - 10*l**2 - 29*l**5 wrt l?
-1980*l**2
Let v(s) be the third derivative of 50*s**2 + 0 + 8/3*s**3 + 49/24*s**4 + 0*s. What is the first derivative of v(l) wrt l?
49
Let b = 31 + -26. Suppose -3*r + 5 = u - b, -4*r - 5*u = -28. What is the third derivative of 3*q**3 + 3 - 6 - 7*q**r + 3 wrt q?
18
Let w(g) be the third derivative of -17*g**7/30 + g**6/40 - 12*g**5/5 + g**4/8 - 634*g**2. Find the third derivative of w(r) wrt r.
-2856*r + 18
Suppose 7*z - 10*z + 12 = 0. Let n be (0 - (-16)/z)/2. Find the second derivative of -7*s - 4*s - 11*s**n + s wrt s.
-22
Let h be 3/(-6)*-10 + 1. Find the third derivative of -6*u**6 + 8*u**6 + 5*u**6 + 33*u**2 + h*u**6 wrt u.
1560*u**3
Let p(k) be the first derivative of 42*k**5/5 - 5*k**4/4 + 866*k + 356. What is the first derivative of p(n) wrt n?
168*n**3 - 15*n**2
Suppose -5*z = -2*s + 21, -2*s = -2*z - z - 27. Differentiate -s*k - 27 + 5 + 8 + 9 wrt k.
-18
Let b(y) be the first derivative of -11*y**7/840 + y**4/4 + 5*y**3/3 - 4. Let o(d) be the third derivative of b(d). Differentiate o(s) with respect to s.
-33*s**2
Let w = 8 + -18. Let k be (w/40)/((-2)/24). Find the second derivative of -3*s**4 + 8*s**4 - 3*s**k + 3*s**3 + 4*s wrt s.
60*s**2
Let c(o) be the third derivative of -559*o**9/504 + 21*o**5/5 - 106*o**2. What is the third derivative of c(d) wrt d?
-67080*d**3
Let r(x) be the third derivative of -x**7/21 - x**6/40 - 5*x**3 + 51*x**2. What is the derivative of r(y) wrt y?
-40*y**3 - 9*y**2
Differentiate 169 + 6*h - 2*h - 95 with respect to h.
4
Differentiate -20*f**4 - 55 + 65 + 112 + 48 - 154*f**4 with respect to f.
-696*f**3
What is the derivative of -28 + 198 + 461*s + 258*s - 481*s wrt s?
238
Let r(c) = -c - 6. Let f be r(8). Let p = f - -14. Find the first derivative of -2*z + 1 - 1 + p - 2 wrt z.
-2
Let g = 38 - 16. Suppose 4*w - 2*s - g = 2*w, 4*w = -s + 24. Differentiate -7*v - 2 + v**2 + w*v - 4*v**2 wrt v.
-6*v
Let o(c) = -16*c**6 - 3*c**5 - 11*c - 3. Let g(x) = 31*x**6 + 6*x**5 - x**2 + 21*x + 5. Let u(r) = -3*g(r) - 5*o(r). Find the third derivative of u(m) wrt m.
-1560*m**3 - 180*m**2
Suppose 3*d + 12 = 0, 6 = 2*z - 2*d - 10. Suppose -3*t = -6*t. What is the second derivative of -289*r**z + 0 + 299*r**4 + 9*r + t wrt r?
120*r**2
Find the second derivative of -19 - 11*o - 9*o + 13 + 9 - 49*o**3 wrt o.
-294*o
Let z(p) be the third derivative of -17*p**9/72 - 143*p**5/60 + p**3/3 + p**2 - 4. Find the third derivative of z(u) wrt u.
-14280*u**3
Find the third derivative of -7*m - 2*m**5 + 3 - m**4 + 4 - 7 - m**2 wrt m.
-120*m**2 - 24*m
Let r(w) = 13*w - 44. Let s be r(9). Differentiate -s*t**2 + 58*t**2 - 17 - 12 with respect to t.
-30*t
Let s(p) = -9*p - 204. Let o be s(-23). Let k(m) be the first derivative of -o + 2*m - 9/2*m**2. What is the first derivative of k(h) wrt h?
-9
Let g be (6 + -3 + -6)*-1. Let a(o) be the first derivative of -3/2*o**2 - 8 + 0*o + 4/3*o**g. What is the second derivative of a(z) wrt z?
8
Let s be 2/((-1)/(-6)*4). Let u be (8/(-12))/((-1)/3). What is the derivative of -2 + 3*m**2 + s*m**u - 4 wrt m?
12*m
Let k(r) = -347*r + 4. Let j(y) = -348*y + 7. Let x(g) = -5*j(g) + 4*k(g). What is the derivative of x(l) wrt l?
352
Let g(f) = -46*f. Let h be g(-6). What is the second derivative of 24*w + h*w**5 - w**2 - 273*w**5 + w**2 wrt w?
60*w**3
Let d = 17 + -15. Let t(m) be the first derivative of 2*m**2 + m**2 + 2*m**3 - 5*m**d - 6 - 2*m**2. What is the second derivative of t(f) wrt f?
12
Let c be (11 - 1) + (-3)/(-1). Find the second derivative of -x + 3*x + 14*x**3 + c*x wrt x.
84*x
Let i(q) be the second derivative of q**9/560 - q**6/90 + 5*q**4/3 + 18*q. Let b(y) be the third derivative of i(y). Find the second derivative of b(t) wrt t.
324*t**2
Suppose 2*h = -4*s + 14, -17*h = s - 18*h - 2. Let t(m) be the first derivative of -5/3*m**3 + 0*m**2 + 10 + s*m. Differentiate t(f) with respect to f.
-10*f
Let k(u) = -28*u**4 - 26*u**3 - 13*u - 9. Let a(j) = 14*j**4 + 12*j**3 + 6*j + 4. Let r(m) = 13*a(m) + 6*k(m). Differentiate r(b) wrt b.
56*b**3
Let v(i) be the first derivative of -175*i**4/2 - 5*i**3/3 - 9*i**2 - 21. Find the third derivative of v(f) wrt f.
-2100
What is the third derivative of 11 - 2 - 8 - 145*r**5 + 39*r**2 + r**4 - r**4 wrt r?
-8700*r**2
Let k(x) be the second derivative of 32*x**6/15 + x**4/4 - 97*x**3/6 - 883*x. Find the second derivative of k(n) wrt n.
768*n**2 + 6
Let u(b) be the first derivative of -89*b**6/6 - 24*b**3 + 5. Find the third derivative of u(z) wrt z.
-5340*z**2
Let l(j) = 10*j**4 - 10*j**2 + 15*j - 744. Let h(r) = 10*r**4 - 9*r**2 + 10*r - 744. Let x(d) = 3*h(d) - 2*l(d). Differentiate x(c) wrt c.
40*c**3 - 14*c
Let v(t) = 13*t - 25. Let m be v(5). What is the second derivative of -m*l**4 - 10 - 3*l**4 - l + l**2 - l**2 wrt l?
-516*l**2