e of -19*d**4/4 - 5*d**3/3 - 41*d - 2. Differentiate r(n) with respect to n.
-57*n**2 - 10*n
Let s = 2 + -4. Let c be (-12)/(-20) + s/(-5). Find the first derivative of -2*y**4 - 3 + 3*y**4 + c - 3 wrt y.
4*y**3
Let f(r) = 550*r**2 - 10*r - 395. Let l(g) = -1651*g**2 + 35*g + 1187. Let x(o) = 7*f(o) + 2*l(o). Differentiate x(u) wrt u.
1096*u
Let l(f) be the third derivative of 1/6*f**3 + 0 - 19/24*f**4 + 27*f**2 + 0*f. Differentiate l(p) wrt p.
-19
Let r(d) = -d**3 + 4*d**2 - 3*d. Let g be r(2). Find the second derivative of -107 - n - 2*n - 7*n**g + 107 wrt n.
-14
Let u(k) be the second derivative of 0 + 31*k - 7/6*k**4 + 0*k**5 - 1/30*k**6 + 0*k**2 + 0*k**3. Find the third derivative of u(x) wrt x.
-24*x
Suppose 3*y + 5*p - 2*p = 54, -88 = -5*y - 4*p. What is the first derivative of 6*k**2 + y*k**2 - 2*k**2 - 8 + 18 wrt k?
40*k
Let y(g) = -2*g**3 - g**2 - g. Let s(c) = -20*c**3 + 5*c**2 + 5*c - 249. Let v(j) = s(j) + 5*y(j). Differentiate v(l) with respect to l.
-90*l**2
Let u(t) = -2*t**3 + 9*t**2 + 76. Let b(v) = v**3 + v**2 - 1. Let x(m) = -5*b(m) + u(m). Differentiate x(w) wrt w.
-21*w**2 + 8*w
Let a(t) be the third derivative of t**7/210 + 113*t**6/120 - 29*t**3/3 + 2*t**2 + 61. What is the first derivative of a(s) wrt s?
4*s**3 + 339*s**2
Let v(h) = -h**2 + 2*h - 1. Let o(q) = 90*q**3 - 12*q**2 + 24*q + 216. Let b(n) = o(n) - 12*v(n). What is the derivative of b(r) wrt r?
270*r**2
Let a(o) = 5*o**2 + o - 144. Let f(j) = 25*j**2 + 4*j - 707. Let h(b) = -11*a(b) + 2*f(b). What is the first derivative of h(t) wrt t?
-10*t - 3
Let i(t) = -19*t**2 + 87. Let w(g) = -38*g**2 + 175. Let l(x) = 13*i(x) - 6*w(x). What is the derivative of l(u) wrt u?
-38*u
Let y(f) be the third derivative of -f**9/126 + 5*f**7/42 - 23*f**5/60 + 2*f**3/3 - f**2 - 14. What is the third derivative of y(c) wrt c?
-480*c**3 + 600*c
What is the second derivative of -89*z - 77*z - 73*z**4 + 202*z - 10*z**4 wrt z?
-996*z**2
Let z(h) be the second derivative of 0*h**5 + 0 + 0*h**3 + 0*h**6 - 1/12*h**4 + 1/14*h**7 + 3*h + 0*h**2. What is the third derivative of z(q) wrt q?
180*q**2
Suppose -2*y + 20 = 3*y. Find the third derivative of 19*z**y - 11*z**2 - 10*z**4 + 4*z**2 - 9*z**2 wrt z.
216*z
What is the first derivative of -6*s - 49*s**2 - 10*s**3 + 152 + 10*s**3 + 2*s**4 + 6*s wrt s?
8*s**3 - 98*s
Let n(p) be the second derivative of 0*p**2 + 24*p + 0 + 3/4*p**4 + 0*p**3 + 17/20*p**5. Find the third derivative of n(w) wrt w.
102
Let g(b) be the second derivative of 2*b**2 + 1/6*b**3 + 5*b + 0. Let r(o) = -1. Let t(u) = -g(u) + 4*r(u). Find the first derivative of t(q) wrt q.
-1
Let j(n) = n**3 - 2*n. Let r be j(0). Suppose r = -5*t + 2*m + 48, 2*t - m - 4*m - 15 = 0. What is the first derivative of -t*o + 0 - 2 - 4*o wrt o?
-14
Suppose -5*f - 4*u = -211, -7*f - 3*u = -3*f - 169. What is the first derivative of 31 + f*h**3 - 20 - 19 wrt h?
129*h**2
Let r(q) be the second derivative of 41*q**4/4 + 61*q**3/6 - 4*q. What is the second derivative of r(f) wrt f?
246
What is the second derivative of -81*t + 2969*t**5 + 2523*t**5 - 4686*t**5 wrt t?
16120*t**3
Let t(i) = 16*i**2 - 3 - 10*i**2 - i**3 - 2*i + 3*i. Let y be t(6). What is the second derivative of 10*f**y - 4*f**3 - 4*f**3 - f wrt f?
12*f
Let t(z) = 16*z**3 + 16*z - 7. Let p(q) = -47*q**3 - q**2 - 49*q + 25. Let s(g) = 2*p(g) + 7*t(g). Find the second derivative of s(v) wrt v.
108*v - 4
Find the second derivative of -2*c + 36 - 80 + c**3 - 2*c + 3*c + 12 + 24*c**2 wrt c.
6*c + 48
Let q = -445/3 + 150. Let s(k) be the first derivative of -q*k**3 - 6 - 2*k**5 + 0*k**2 + 0*k**4 + 0*k. Find the third derivative of s(h) wrt h.
-240*h
Let p(c) be the second derivative of 9*c**4/4 + c**3/6 + 205*c**2/2 + 63*c. What is the first derivative of p(b) wrt b?
54*b + 1
Let a(g) be the second derivative of -g**4/12 - g**3/6 + 125*g**2/2 + 2*g + 8. Find the first derivative of a(d) wrt d.
-2*d - 1
Let o(v) be the second derivative of v**6/30 + 14*v**5/5 + 241*v**4/12 + v**3/3 + 22*v - 10. Find the third derivative of o(r) wrt r.
24*r + 336
Let d be 15/(-20) - 30/(-8). Find the second derivative of 3*m + 8*m - 1 + d*m**2 + 1 wrt m.
6
Let q(u) be the third derivative of 11/60*u**5 - 1/120*u**6 + 0*u**3 + 0 - 1/21*u**7 - 5*u**2 + 0*u + 1/12*u**4. What is the third derivative of q(y) wrt y?
-240*y - 6
Let y = 0 - -4. Suppose -99 = -y*d + 25. What is the third derivative of d*u**2 + u**5 - 36*u**2 + u**5 - 9*u**5 wrt u?
-420*u**2
Let u be 0 - 6/(-5)*(-55)/(-22). What is the second derivative of -21*t**4 - 3*t**3 + 3*t**u - 11*t + 2*t**4 wrt t?
-228*t**2
Let w(h) = -2*h + 36. Let u be w(15). Find the second derivative of -u + 68*r - 49*r**5 + 0*r**2 - 72*r + 0*r**2 wrt r.
-980*r**3
Suppose -2*t - a - 1 = 0, -5*t + 5 - 10 = 3*a. Find the second derivative of -26*r**2 + 70*r**2 - 34*r**t + 10*r wrt r.
20
Let l be 9*(666/108 - (5 - -1)). Let b(i) be the first derivative of 9*i - 9 + l*i**2. What is the first derivative of b(f) wrt f?
3
Let f = -13 + 17. Differentiate -48*z**3 - 8 + 48*z**3 - 10*z**f with respect to z.
-40*z**3
Let s(l) = -239*l**2 + 20*l + 10. Let p(m) = -239*m**2 + 19*m + 9. Let f(d) = -7*p(d) + 6*s(d). Find the second derivative of f(x) wrt x.
478
Let j(i) = -1320*i**3 + 21*i + 1493. Let g(l) = 661*l**3 - 9*l - 747. Let p(n) = -7*g(n) - 3*j(n). What is the derivative of p(c) wrt c?
-2001*c**2
Let h be 41/(-4) + (-4)/(-16). Let i be h/35 - 30/(-7). What is the third derivative of 2*t**2 - 3*t**4 - 4*t**4 + 3*t**4 - i*t**2 wrt t?
-96*t
Let u(j) = -j**3 - 43*j**2 + 201*j. Let f(q) = 3*q**3 + 86*q**2 - 401*q. Let y(t) = -3*f(t) - 7*u(t). What is the second derivative of y(b) wrt b?
-12*b + 86
Let x(q) be the third derivative of -101*q**6/60 - 871*q**3/6 - 22*q**2. Differentiate x(p) with respect to p.
-606*p**2
Find the third derivative of 29*p**3 + 26*p**3 + 322*p**2 + 120*p**3 + 206*p**3 wrt p.
2286
Suppose 4*q - 8*m + 10*m - 12 = 0, q + m - 4 = 0. What is the third derivative of -5*h**3 - 4*h - 23*h**4 + 24*h**4 - 7*h**q + 2*h wrt h?
24*h - 30
Let r be 36/24*(-8)/(-6). What is the third derivative of 0*z**3 + r*z + 17*z**3 - 19*z**2 - 2*z wrt z?
102
Let i(c) be the first derivative of 43/2*c**2 - 31*c + 22. Differentiate i(b) wrt b.
43
Suppose 0 = -i - 1 + 2, -p + i = -43. Find the first derivative of -5*m**2 - p - 3*m**2 + 33 wrt m.
-16*m
Let r be 3 + (3 - 2) - -25. What is the second derivative of 32*x**2 + r*x**2 - 61*x**2 + 30*x + 26*x**4 wrt x?
312*x**2
Let n(p) = -p**2 + p + 1. Let h(k) = 80*k**3 - 68*k**2 + 6*k + 6. Let r(q) = -h(q) + 6*n(q). Find the third derivative of r(j) wrt j.
-480
Let u(j) = j**2 - j + 1. Let z be 4/1 + 3 + -13. Let a(i) = -54*i**2 + 3*i - 7. Let v(w) = z*u(w) - a(w). What is the second derivative of v(l) wrt l?
96
Let j(d) be the first derivative of -5 + 0*d**3 + 19/2*d**2 - 14/5*d**5 + 0*d**4 + 0*d. Find the second derivative of j(k) wrt k.
-168*k**2
Suppose 2*n + 10*n = 456. Find the third derivative of 10*u**2 - n*u**2 + 48*u**6 - 12*u**6 wrt u.
4320*u**3
Let a(b) = -b**4 + b**3 - b**2. Let k(o) = -9*o**5 + o**4 - 2*o**3 - o**2 - 13. Let i(c) = a(c) + k(c). Find the third derivative of i(f) wrt f.
-540*f**2 - 6
Let i(y) be the third derivative of -y**6/20 + 3*y**5/4 - 91*y**4/8 - y**2 + 240. What is the second derivative of i(v) wrt v?
-36*v + 90
Let j(a) be the second derivative of -19*a**5/20 - a**4/12 + 83*a**2 + 44*a + 1. What is the first derivative of j(g) wrt g?
-57*g**2 - 2*g
Let w(f) be the first derivative of 0*f**2 + 0*f + 0*f**4 + 5/2*f**6 + 3*f**3 - 2 + 0*f**5. Find the third derivative of w(a) wrt a.
900*a**2
What is the third derivative of -788*p**3 - 783*p**3 + 1570*p**3 + 116*p**2 + 16*p**5 wrt p?
960*p**2 - 6
Suppose -3*m + 364 = -7*m. Let g be (-338)/m + 4/14. Differentiate 8*l**g - 3 + 1 + 0 - 6 wrt l.
32*l**3
Let t(n) be the third derivative of n**8/336 + 17*n**5/60 + 31*n**4/12 - 17*n**2. What is the second derivative of t(j) wrt j?
20*j**3 + 34
Suppose -3 = l - 1, 4*y = -3*l + 6. Suppose 11 = -3*t - 1, -y*i + 35 = -5*t. Find the third derivative of -46*c**5 + 18*c**i - 7*c**2 + 22*c**5 wrt c.
-360*c**2
What is the derivative of -16*w**2 + 137*w + 6 - 137*w + 0*w**3 - 2*w**3 wrt w?
-6*w**2 - 32*w
Suppose -36 = -3*c - 3*c. What is the third derivative of -c*m**2 -