Let a(l) = 7*l**2 + 26*l + 8. Let m(p) = a(p) - 5*v(p). Let r(b) be the first derivative of m(b). What is the derivative of r(h) wrt h?
14
Let w be (-4)/(-2) + (-8 - -2384). What is the third derivative of -24*t**2 + 28*t**6 + w*t**3 - 2378*t**3 wrt t?
3360*t**3
Let n(z) = -z**4 - 44*z**3 - z**2 + 21*z. Let r(x) = 6*x**4 + 220*x**3 + 5*x**2 - 104*x. Let u(p) = 11*n(p) + 2*r(p). Find the third derivative of u(w) wrt w.
24*w - 264
Let c(i) be the third derivative of 23*i**7/42 - i**5/60 - 23*i**4/24 + i**3/6 + 201*i**2. Find the second derivative of c(u) wrt u.
1380*u**2 - 2
What is the first derivative of f**4 + 22 + 31 - 21*f**4 + 10*f**4 wrt f?
-40*f**3
Suppose -2*b + 0*b + 5*q + 16 = 0, -4*b + 32 = 5*q. Let x be (-2 + 1)*(b - 12). Find the third derivative of -3*c**2 + 5*c**2 - x*c + 4*c - 2*c**6 wrt c.
-240*c**3
Let t(m) be the first derivative of 0*m**4 + 38/5*m**5 - 29 + 0*m + 15/2*m**2 + 0*m**3. Find the second derivative of t(c) wrt c.
456*c**2
Suppose 15 = -u - 5*h, h + 27 = 24. Let z(a) be the first derivative of u*a**3 - 3/4*a**4 - 5 - 8*a + 0*a**2. What is the derivative of z(l) wrt l?
-9*l**2
Let t = -65 - -69. What is the second derivative of -488 + 488 + 35*g**2 + t*g wrt g?
70
Let a(z) be the first derivative of 0*z**2 - 13*z**3 + 0*z**4 - 33 + 0*z - 33/5*z**5. What is the third derivative of a(q) wrt q?
-792*q
Let a(t) = -78*t**4 - t**3 + t**2 - t - 61. Let w(g) = g**4 - g**3 + g**2 - g - 1. Let o(n) = a(n) - w(n). Differentiate o(h) wrt h.
-316*h**3
Let m(s) = -562*s - 19. Let d(w) = -2260*w - 77. Let o(x) = 2*d(x) - 9*m(x). What is the first derivative of o(k) wrt k?
538
What is the derivative of 20*o - 33*o - 305 - 73*o + 2*o wrt o?
-84
What is the third derivative of 2 + 104*u**2 - 17*u**3 + 311*u + 316*u - 3 + 4*u**4 - 627*u wrt u?
96*u - 102
Let v(g) = -g**3 - 6*g**2 - g + 2. Let k be v(-6). Let w = k + -5. Find the second derivative of -a**4 + 69*a - w*a**4 - 73*a wrt a.
-48*a**2
Let a be 2/((-7)/3 - -3). What is the second derivative of -q**a + 0*q**3 + 16*q + 14*q**3 wrt q?
78*q
Differentiate 25*d + 38*d - 12*d + 212 wrt d.
51
Differentiate -277*v**3 - 6*v**2 - 153 + 6*v**2 + 48*v**3 wrt v.
-687*v**2
Let q(u) be the third derivative of u**6/60 + 2*u**5/5 - 31*u**4/24 - 23*u**2. Find the second derivative of q(i) wrt i.
12*i + 48
Let l(b) be the second derivative of 317*b**5/20 - 26*b**3/3 + 11*b + 2. What is the second derivative of l(x) wrt x?
1902*x
Let w(d) be the third derivative of 0*d**4 + 0 + 13/336*d**8 + 0*d + 0*d**3 + 1/20*d**5 + 0*d**6 - 15*d**2 + 0*d**7. What is the third derivative of w(n) wrt n?
780*n**2
Find the first derivative of -84 - 11*d**4 - 109 + 163 wrt d.
-44*d**3
Let z(t) = -39*t**3 - 6*t**2 + 4*t - 1. Let r(p) = -39*p**3 - 5*p**2 + 4*p - 1. Let s(a) = 6*r(a) - 5*z(a). Find the second derivative of s(j) wrt j.
-234*j
Let d(w) be the second derivative of 0 + 0*w**2 + 0*w**4 - 2*w**3 + 1/10*w**5 + 6*w. Find the second derivative of d(h) wrt h.
12*h
Let m(c) be the first derivative of -4*c**4 + c**3 + 322*c - 115. Differentiate m(j) with respect to j.
-48*j**2 + 6*j
Let p(d) be the third derivative of 0*d**3 - 1/12*d**4 + 0 + 12*d**2 + 3/20*d**6 + 0*d**5 + 0*d. What is the second derivative of p(u) wrt u?
108*u
Let a(d) be the third derivative of -13*d**5/12 - 41*d**3/2 + 2*d**2 + 95*d. Differentiate a(g) with respect to g.
-130*g
Let x(i) = 3*i + 24. Let m be x(-7). Differentiate -m - 1 - 29*l**2 + 1 - 16 wrt l.
-58*l
Let t be (-1)/(-1) - (-24 - -12). Let d = t + 10. Find the first derivative of 4 - 18*s + d*s - 2 wrt s.
5
Let r(c) be the third derivative of 2*c**7/21 + 13*c**5/60 + c**4/24 + 15*c**2. Find the third derivative of r(p) wrt p.
480*p
Differentiate 17*x**4 - 4*x - 12 - 12*x + 15*x with respect to x.
68*x**3 - 1
Let k(x) = 2*x - 3. Let g(m) = -575*m - 389. Let w(v) = -g(v) + 6*k(v). What is the derivative of w(o) wrt o?
587
Let a(f) = 244*f**2 - 12*f - 456. Let i(t) = 162*t**2 - 9*t - 304. Let l(x) = 5*a(x) - 7*i(x). What is the first derivative of l(c) wrt c?
172*c + 3
Find the third derivative of o**2 + 68*o - 2704*o**6 + 6427*o**6 - 3114*o**6 wrt o.
73080*o**3
Suppose 0 = -t - 2*t - 54. Let i = t + 20. Find the first derivative of i - 5 - z**2 + z**2 + 7*z**2 wrt z.
14*z
Let q be 1 + -2*(-3)/(-6). Suppose i = -b - 4*i - 21, q = -3*b - 4*i - 8. What is the third derivative of 3*r**4 + b*r**2 + 4*r**4 - 2*r**4 wrt r?
120*r
Let g(s) be the third derivative of -49*s**6/40 - s**3/6 + 127*s**2 + 2*s. What is the derivative of g(t) wrt t?
-441*t**2
Find the first derivative of -6*u**2 - u**2 - u**3 - 204 + 197 wrt u.
-3*u**2 - 14*u
Let i(o) = o**4 + 116*o**3 - 5*o**2 - 77*o. Let f(j) = -j**2 - j. Let d(p) = 5*f(p) - i(p). Find the second derivative of d(k) wrt k.
-12*k**2 - 696*k
Find the second derivative of 11*p**5 - 6*p**3 - 2*p**2 - p**3 + 6*p**3 + 2*p**2 + 201*p wrt p.
220*p**3 - 6*p
Suppose -3*s - 44 + 0 = -2*d, -d - 3*s = -13. Differentiate 8*a**2 - 16*a**2 - d + 8*a**2 - 16*a**4 wrt a.
-64*a**3
Suppose -2*s = -7*s + 10. What is the third derivative of -39*z**s - 8*z**3 + 54*z**2 + 2*z**3 wrt z?
-36
Let j be (-1 - 1) + (-15)/(-3). Suppose j = 3*n + o - 5, -2*n - o + 4 = 0. What is the third derivative of 3*a**2 - n*a**2 + 0*a**2 + 8*a**2 - a**3 wrt a?
-6
Let f(k) = -k**3 + 12*k**2 + 13*k + 11. Let w be f(13). What is the third derivative of -r - 3*r + 13*r**2 + 4*r - w*r**6 wrt r?
-1320*r**3
Find the second derivative of 3906*n - 3155*n - 722*n**2 - 150*n**2 wrt n.
-1744
Let y(w) = -175*w**5 + 33*w**2 + 2*w + 3. Let z(i) = 350*i**5 - 66*i**2 - 5*i - 7. Let b(q) = 5*y(q) + 2*z(q). Find the third derivative of b(f) wrt f.
-10500*f**2
Let d(c) = 602*c**2 - 1988*c - 70. Let l(q) = 67*q**2 - 221*q - 8. Let j(o) = 4*d(o) - 35*l(o). Find the second derivative of j(h) wrt h.
126
Let q(z) = -241*z**3 - 54*z**2 - 8*z + 4. Let d(m) = -240*m**3 - 54*m**2 - 9*m + 5. Let c(k) = 4*d(k) - 5*q(k). What is the third derivative of c(r) wrt r?
1470
Let c(y) = 2*y**2 - 15*y + 9. Let x be c(7). What is the third derivative of -6*h**x - 18*h**6 - h**2 - 4*h**2 - 11*h**2 wrt h?
-2160*h**3
Let c(r) = 37*r**4 - 23*r**3 + 9*r + 752. Let l(t) = 9*t**4 - 6*t**3 + 2*t + 188. Let y(u) = 2*c(u) - 9*l(u). Differentiate y(n) with respect to n.
-28*n**3 + 24*n**2
Let j(t) be the second derivative of -t**6/30 + 259*t**5/20 + 167*t**4/12 + 7*t - 24. Find the third derivative of j(c) wrt c.
-24*c + 1554
Suppose 3*u = 8*u. Suppose u = -2*t - 0*t + 8. What is the second derivative of -w**4 - 4*w - t*w + 2*w - w**4 wrt w?
-24*w**2
Let a = 84 + -81. Find the third derivative of -46*y**a + 78*y**3 + y - 24*y**2 - y wrt y.
192
Let f(r) = -r**3 + 6*r**2 - r + 8. Let h be f(6). Suppose h + 13 = 3*k. What is the derivative of k*s - 3 - 3*s + 7 + 1 wrt s?
2
Let k = 432 + -429. Let b(a) be the third derivative of 5/6*a**3 + 0 + k*a**2 - 7/24*a**4 + 0*a. What is the derivative of b(q) wrt q?
-7
Let m(x) = -146*x + 268. Let i(p) = p + 1. Let f(v) = 5*i(v) - m(v). What is the derivative of f(t) wrt t?
151
Find the second derivative of -3*u**2 - 2608*u - 23*u**3 + 3*u**2 + 2552*u wrt u.
-138*u
What is the third derivative of -16*l**2 + 8*l**2 + 240*l**4 + 2*l**2 + 20 wrt l?
5760*l
Suppose 5*k = 5*g - 3 - 7, -4 = -2*g - 4*k. What is the second derivative of 47*z + 60*z - 69*z - z**2 - 8*z**g wrt z?
-18
Suppose -3*i = -6*i. Suppose 2 = -5*v + w + 30, -v + w + 8 = i. Find the second derivative of 0*y**5 + 7*y**v + 0*y**5 - 5*y - 4*y**5 wrt y.
60*y**3
Let d(k) be the second derivative of 153*k**5/20 - 75*k**2 - 74*k. What is the derivative of d(g) wrt g?
459*g**2
Suppose 0*k = 5*k - 15. Let v be 1/k*18/2. What is the third derivative of -2*z**5 - v*z**4 + 3*z**4 - 5*z**5 + z**2 wrt z?
-420*z**2
Suppose s = -5*g - 0*s + 21, -5*g + 15 = -5*s. Let x(t) = -t**3 - 6*t**2 - t - 1. Let j be x(-6). What is the derivative of -g + 0 - 1 - j*o**4 wrt o?
-20*o**3
Let w(n) be the third derivative of 139*n**8/336 - 35*n**4/8 - 32*n**2 + 2*n. What is the second derivative of w(g) wrt g?
2780*g**3
Let g(c) = -9*c**4 + c**3 - 26*c**2 - 10*c. Let l(j) = -2*j**4 - j**3 - j**2 - j. Let p(b) = g(b) - 6*l(b). Find the third derivative of p(o) wrt o.
72*o + 42
Find the second derivative of 215*d**2 - 100*d - 69 - 24 + 2*d**3 + 102*d - 17 wrt d.
12*d + 430