*5/10 - 9*x**2/2 + 7*x + 5. Let b(k) be the first derivative of f(k). Differentiate b(n) wrt n.
-18*n**2
Let d(f) = 35*f**2 + 11*f - 7. Let b(c) = 22*c**2 + 7*c - 5. Let s(l) = 8*b(l) - 5*d(l). What is the first derivative of s(t) wrt t?
2*t + 1
Let y(m) be the third derivative of 0*m**3 + 0*m + 4/15*m**5 + 0*m**4 + 10*m**2 - 1/20*m**6 + 0. What is the third derivative of y(j) wrt j?
-36
Let n(a) be the third derivative of 5*a**8/112 + 49*a**4/4 - 4*a**2 - 27. What is the second derivative of n(i) wrt i?
300*i**3
Let t(o) be the second derivative of 0 + 0*o**3 + 5/3*o**4 + 0*o**5 + 0*o**2 + 0*o**6 - 22*o - 13/42*o**7. Find the third derivative of t(w) wrt w.
-780*w**2
Let o(b) be the second derivative of -2*b**2 + 0 + 7/3*b**3 - 10*b. Differentiate o(l) with respect to l.
14
Let k(s) be the second derivative of -317*s**5/10 - 407*s**4/6 + 68*s - 6. What is the third derivative of k(v) wrt v?
-3804
Let p(u) be the third derivative of 0*u**3 - 3/20*u**5 + 0*u**6 + 0*u**4 - 19*u**2 + 0 + 0*u + 1/15*u**7. Find the third derivative of p(m) wrt m.
336*m
Find the third derivative of -30*b**4 - 7*b**5 - 10 + 259*b**2 - 6 + 10*b**5 - 260*b**2 wrt b.
180*b**2 - 720*b
Let o(q) = 1627*q - 1331. Let h(v) = 818*v - 666. Let d(m) = -5*h(m) + 3*o(m). Find the first derivative of d(k) wrt k.
791
What is the third derivative of 5*o**4 + 7*o - 2*o**2 - 7*o + 19*o**3 - 21*o**3 wrt o?
120*o - 12
Let m(v) be the second derivative of 11*v**8/56 - v**5/10 - v**4/3 + v**3/6 - 8*v - 2. What is the third derivative of m(g) wrt g?
1320*g**3 - 12
Let c(j) be the first derivative of 0*j + 0*j**3 - 7/2*j**4 - 5/2*j**2 - 8. What is the second derivative of c(s) wrt s?
-84*s
Let z(q) be the third derivative of -169*q**7/210 - q**4/24 + 115*q**3/6 + 574*q**2. What is the derivative of z(f) wrt f?
-676*f**3 - 1
Let z(m) = -m**3 - 10*m**2 + 11*m + 2. Let g be z(-11). Differentiate 27 - 9*w + 5*w**g + w**4 + 9*w - 4*w**4 with respect to w.
-12*w**3 + 10*w
Suppose 0 = -5*m + m - h + 72, 4*h = -3*m + 54. Let x = m - 13. Differentiate 1 + x*f + 1 - 2 - 1 wrt f.
5
Differentiate -1803 + 428*s + 1378 + 258*s with respect to s.
686
Let a = 962 + -962. Let d(f) be the second derivative of 1/5*f**6 + 0 - f**3 + a*f**4 + 0*f**5 + f + 0*f**2. Find the second derivative of d(k) wrt k.
72*k**2
Suppose 2*c - 12 = -2*b, 2*c - 1 = 3*b + 1. What is the third derivative of 19*g**b + 3*g**4 - 9*g**5 - 3*g**4 - 4*g**2 wrt g?
-540*g**2
Let m(c) be the first derivative of -6*c**5/5 - 16*c**3/3 - 12*c + 207. Differentiate m(z) wrt z.
-24*z**3 - 32*z
Let o(h) = 212*h**3 + 31*h**2 + 5*h. Let j(r) = 3*r**3 + r**2 - r. Let g(p) = 5*j(p) + o(p). What is the third derivative of g(i) wrt i?
1362
Differentiate 135*b - 577*b + 369 - 144*b + 190 with respect to b.
-586
Let g = 77 + -74. Let a(f) be the second derivative of f - 3*f**2 + 1/6*f**g + 0. What is the derivative of a(z) wrt z?
1
Let l(m) be the third derivative of 0*m**5 + 0 + m**2 + 0*m + 1/35*m**7 + 0*m**4 + 5/6*m**3 + 0*m**6. What is the first derivative of l(r) wrt r?
24*r**3
Let n = -11 - -36. Suppose 5*b - 3*f - 25 = 0, -f = -6*f - n. What is the first derivative of 4 + 3*d**b + 7 - 2 - 3 wrt d?
6*d
What is the second derivative of -282*a**3 - 177*a - 2*a**2 + 181*a**3 - 82*a + 1 wrt a?
-606*a - 4
Suppose k = -1 + 4. What is the derivative of -26*c**4 + 17 - 13*c**3 + 13*c**k - 1 wrt c?
-104*c**3
Suppose -6 = -6*p + 4*p. What is the third derivative of 61 - 61 + p*l**2 - 2*l**3 wrt l?
-12
Let c be (-2 - -3 - (3 + 1)) + 20. What is the second derivative of -17*s - 17 - 22*s**4 + c wrt s?
-264*s**2
Find the second derivative of -66*v**2 - 79*v - 62*v + 35*v - 62*v**2 wrt v.
-256
Let l be 6/8 - (-639)/12. What is the third derivative of 8*v**2 - 34*v**2 - 19*v**5 + l*v**5 wrt v?
2100*v**2
Let a(y) be the second derivative of -y**8/60 + y**4 - 13*y**3/3 + 11*y. Let k(u) be the second derivative of a(u). Differentiate k(p) wrt p.
-112*p**3
Let o = 3 - -3. Suppose a - 1 - o = -2*k, 19 = 3*a + 5*k. What is the first derivative of 7*t**3 - 4*t**4 - 8*t**3 - 4 + t**a wrt t?
-16*t**3
Let w(o) be the first derivative of 0*o**4 + 0*o**2 - 3*o**5 + 0*o - 11 - 20/3*o**3. What is the third derivative of w(p) wrt p?
-360*p
Let p(a) be the second derivative of -1/4*a**4 + 3/10*a**6 + 0 + 0*a**5 + 0*a**2 + 2*a + 0*a**3. What is the third derivative of p(x) wrt x?
216*x
Let j(a) = a**2 + 1. Let q(l) = -15*l - 15 + 10 + 8*l**2 + 0*l. Let f(c) = -15*j(c) - 3*q(c). Find the second derivative of f(b) wrt b.
-78
Let a be (40/12*-3)/(2/(-6)). Find the first derivative of 19*o - 24 + 21 - 8 - a wrt o.
19
Suppose -5*w + 1 = -2*d, 3*d - 1 - 2 = 3*w. Differentiate -j - 4 - w - 2 wrt j.
-1
Let g(a) be the second derivative of -8*a + 17/6*a**3 + 5/6*a**6 + 0*a**2 + 0 + 0*a**5 + 0*a**4. What is the second derivative of g(n) wrt n?
300*n**2
Let u(s) be the first derivative of -s**7/7 + s**6/3 + 128*s**3/3 - 1. Find the third derivative of u(p) wrt p.
-120*p**3 + 120*p**2
Let z(h) = -h**2 - 4*h + 1. Let r be z(-3). Suppose -2*c = -3*c + r. Find the third derivative of -13*m**2 + 0*m**4 + 14*m**2 + 3*m**5 + 0*m**c wrt m.
180*m**2
Suppose -6*n - n = -14. What is the first derivative of -19*j**4 - 7 + 209*j**2 - 209*j**n - 6*j**4 wrt j?
-100*j**3
Suppose 4*j = 146 - 466. Let t be (-10)/j + (-270)/(-16). Differentiate o**2 + 26 - t - 7*o**2 wrt o.
-12*o
Let r(w) = 4*w**4 + 7*w**3 - 7*w**2 + 21*w + 133. Let o(n) = -2*n**4 - 3*n**3 + 3*n**2 - 10*n - 66. Let y(b) = -7*o(b) - 3*r(b). Differentiate y(m) wrt m.
8*m**3 + 7
Let k(x) be the third derivative of 91*x**6/120 - x**5/30 + 73*x**4/8 - x**3/6 - 54*x**2. Find the second derivative of k(p) wrt p.
546*p - 4
Suppose l + 4 = 2*l + k, 2*k + 1 = l. What is the derivative of -3*i**3 + 31*i**4 - 19 + 3*i**l - 5 wrt i?
124*i**3
What is the second derivative of -s**4 + 0*s**4 - 178*s**3 + 393*s - 93*s - s**4 wrt s?
-24*s**2 - 1068*s
Let s(x) = 264*x**2 + 12*x - 223. Let b(y) = -y**2 - 2*y + 1. Let p(h) = -6*b(h) - s(h). What is the first derivative of p(a) wrt a?
-516*a
Let g(p) = -62*p**2 - 134*p + 12. Let t(b) = 124*b**2 + 267*b - 26. Let r(c) = 13*g(c) + 6*t(c). Find the second derivative of r(f) wrt f.
-124
Let o(z) = z + 38. Let k be o(-18). Find the second derivative of k*y + 146*y**3 - y**5 - 27*y**5 - 146*y**3 wrt y.
-560*y**3
Suppose -3*z + 2*t = -7*z + 10, 5*z = 3*t - 15. What is the first derivative of 2*j - 2 + 16*j + z + 1 wrt j?
18
Let g(h) be the first derivative of -13*h**10/5040 - h**6/36 - 4*h**3/3 + 6. Let k(c) be the third derivative of g(c). Find the third derivative of k(l) wrt l.
-1560*l**3
Let a(y) = 1. Suppose 0 = o - 5*o + 12. Let p(c) = -3*c**2 - 9. Let i(m) = o*p(m) + 15*a(m). Differentiate i(g) wrt g.
-18*g
Let f(l) be the first derivative of -209*l**4/2 - 40*l**3/3 + 5*l**2/2 - 631. What is the third derivative of f(o) wrt o?
-2508
Let t(v) be the second derivative of -13*v**6/30 - 3*v**5/20 - v**3/6 - 64*v**2 + 7*v + 3. Find the second derivative of t(w) wrt w.
-156*w**2 - 18*w
Let s(i) be the second derivative of -i**6/30 + 179*i**3/6 - 3*i**2/2 + 254*i. Differentiate s(g) wrt g.
-4*g**3 + 179
Find the second derivative of -61*h**3 - 6*h**2 + 373*h + 6*h**2 - 5*h**2 - 6*h**3 wrt h.
-402*h - 10
Suppose o + 0 = 2. Let t = 4 - o. What is the third derivative of 4*z**2 - 2*z**2 + t*z**3 - 3*z**3 wrt z?
-6
Let w(y) be the second derivative of y**6/144 + y**5/10 - 17*y**4/12 + 20*y. Let b(x) be the third derivative of w(x). Differentiate b(d) with respect to d.
5
Find the first derivative of -82*g**3 + 43 + 48 - 58 wrt g.
-246*g**2
Let v(h) = h**3 - 12*h + 2. Let l(d) = -d**3 + d - 1. Suppose 6 = 10*t + 26. Let s(u) = t*v(u) - 4*l(u). What is the second derivative of s(f) wrt f?
12*f
Let y = 40 + -23. What is the first derivative of -23*o**2 + 35 - y + 6*o**2 wrt o?
-34*o
Let p be (9 + -9)/(1 - 3). Suppose -7 = 4*m + 5*d, p*m - m = -2*d - 8. What is the second derivative of y**m - 5*y + 3*y + 3*y**2 - 3*y**2 wrt y?
2
Let l(b) = -27*b**2 + 25*b. Let i(c) = -29 + 29 - c**2. Let w(s) = i(s) - l(s). Find the second derivative of w(u) wrt u.
52
Suppose 3*j + 20 = -2*j - 5*s, -4*j + 4*s = 0. Let a be (3/j)/(15/(-260)). Find the second derivative of 0*t - 26 - 7*t + a - 13*t**4 wrt t.
-156*t**2
Let h(q) be the third der