erentiate -22*i + 68 - 2*i - 5 wrt i.
-24
Find the second derivative of 1733*h**2 - 599*h - 184*h**5 - 229*h**5 - 1733*h**2 wrt h.
-8260*h**3
Differentiate -2*c + 113188*c**2 - 29*c**3 + 127 - 113188*c**2 with respect to c.
-87*c**2 - 2
Let l(y) be the first derivative of -y**7/7 + y**6/6 + 62*y**3/3 + y**2 - 152. Find the third derivative of l(b) wrt b.
-120*b**3 + 60*b**2
Let z(k) be the first derivative of -49*k**6/30 + 31*k**4/12 + 19*k - 1. Let g(i) be the first derivative of z(i). What is the third derivative of g(r) wrt r?
-1176*r
Let p(s) = -245*s**4 + 3*s**3 + 12*s**2 - 55. Let a(d) = -246*d**4 + 2*d**3 + 8*d**2 - 55. Let u(z) = -3*a(z) + 2*p(z). Differentiate u(o) with respect to o.
992*o**3
Let s = 41 - 41. Let n(b) be the third derivative of 0 + 0*b**4 + s*b**5 + 0*b + 1/3*b**3 + 1/20*b**6 - 2*b**2. What is the first derivative of n(k) wrt k?
18*k**2
Suppose 2*n + 68 - 88 = 0. Let c(s) be the third derivative of 0*s - n*s**2 + 0 - s**3 + 1/2*s**4. What is the first derivative of c(d) wrt d?
12
Let a(i) = -2*i**2 - 8*i - 8. Let w be a(-6). Let h = w + 38. What is the third derivative of 5*v**2 + v**6 - h*v**2 - 4*v**6 - 6*v**6 wrt v?
-1080*v**3
Let c(t) = 435*t**2 + 104*t + 14. Let u(q) = -290*q**2 - 69*q - 10. Let n(p) = -5*c(p) - 7*u(p). What is the second derivative of n(f) wrt f?
-290
Let f(d) = -396*d**3 - 16*d**2 + 16*d + 551. Let v(l) = -2*l**2 + 2*l - 1. Let q(h) = f(h) - 8*v(h). Differentiate q(z) with respect to z.
-1188*z**2
Let y(j) = -j**2 - j - 1. Let m(a) = 39*a**3 + 18*a**2 + 18*a + 114. Let s(i) = m(i) + 18*y(i). Differentiate s(r) wrt r.
117*r**2
Suppose -11*v + v = -2*v. Let k(o) be the first derivative of -8*o + v*o**2 - 1/3*o**3 + 9. What is the first derivative of k(u) wrt u?
-2*u
Let t(x) = -176*x**3 + 15*x**2 - 8. Let q(a) = 528*a**3 - 44*a**2 + 22. Let u(p) = -4*q(p) - 11*t(p). Find the third derivative of u(h) wrt h.
-1056
Let x(r) = -2*r**3 - 7*r**2 + 14. Let t be x(-5). What is the second derivative of 39*y - t*y + 32*y - 5*y**3 + 31*y wrt y?
-30*y
Suppose 5*q + 22 = -r, 2*r - 2*q = 10 + 6. Let h(b) be the first derivative of -r*b**3 + 3/2*b**4 + 0*b**2 + 0*b - 2. Find the third derivative of h(k) wrt k.
36
Let d(h) = -37*h - 544. Let g be d(-15). Suppose 4*t = -3*r + 7 + 27, -5*r + 4*t = -46. What is the third derivative of r*v**3 + v**2 - g*v**2 - 9*v**3 wrt v?
6
Let o(x) be the first derivative of 16/3*x**3 - 18 + 9/4*x**4 + 0*x**2 + 0*x. Find the third derivative of o(u) wrt u.
54
Differentiate 120*v**2 - 25 - 94 - 28 wrt v.
240*v
Let c(w) = 4*w**3 + 9*w**2 + 12*w + 4. Let a(m) = -5*m**3 - 11*m**2 - 12*m - 6. Let y(b) = -2*a(b) - 3*c(b). Find the second derivative of y(v) wrt v.
-12*v - 10
Let a(z) = -z**2. Suppose -2*d + 5*d = 45. Let b(t) = 16*t**2 - 1 - d*t**2 + 2 - 15*t**2. Let g(k) = 5*a(k) - b(k). What is the first derivative of g(c) wrt c?
18*c
Let z(w) be the third derivative of -w**8/14 - 2*w**7/105 + 85*w**5/12 - 355*w**2. Find the third derivative of z(r) wrt r.
-1440*r**2 - 96*r
Let h = 47 + -45. Differentiate 5*q**2 - 20*q**h + 33*q - 33*q - 23 with respect to q.
-30*q
Let d be (8 - 4)*(0 + -2 - -3). Let b(s) = s**2 - 1. Let f(w) = -19*w**3 - 5*w**2 + 4. Let v(q) = d*b(q) + f(q). Find the third derivative of v(j) wrt j.
-114
Let f(t) be the second derivative of -13*t**5/5 - t**4/12 - 3*t**3 + t**2 + 13*t + 2. Find the second derivative of f(v) wrt v.
-312*v - 2
Let c(b) be the second derivative of -39*b**5/20 - b**4/3 + 2*b**3 + 28*b. What is the third derivative of c(o) wrt o?
-234
Find the second derivative of 104*b**5 + 103*b - 171*b**5 - 135*b**5 - 93*b**5 wrt b.
-5900*b**3
Let y(f) be the second derivative of -f**5/4 - f**3/3 - 87*f**2/2 + 148*f. Differentiate y(p) wrt p.
-15*p**2 - 2
Let h(z) = 5*z**4 - 3*z. Let j(r) = -5*r**4 + 3*r. Suppose 0 = 4*c + 19 - 11. Let x(v) = c*j(v) - 3*h(v). Find the second derivative of x(f) wrt f.
-60*f**2
Let g = -2451 - -9805/4. Let f(v) be the third derivative of 0*v + 0 + 6*v**2 + 0*v**3 - 1/12*v**5 + g*v**4. Find the second derivative of f(w) wrt w.
-10
Let a(g) be the second derivative of g**7/42 - 31*g**5/20 - g**3/6 + 3*g**2 + 2*g + 5. What is the second derivative of a(l) wrt l?
20*l**3 - 186*l
Differentiate -56*i**3 + 56*i**3 + 9*i**2 - 114 - 2*i**4 + 15*i**2 with respect to i.
-8*i**3 + 48*i
Suppose -6*l - 4 = -22. Find the third derivative of -o**l + 12*o**2 + 4*o**3 + 4*o**3 - 16*o**3 wrt o.
-54
Let q(l) = l - 2. Let b be q(5). Suppose b*i + 16 = 5*i. What is the third derivative of i + 6*g**4 + g**2 + 3*g**2 - 8 wrt g?
144*g
Let d(y) = -y**3 + 1 + 0*y - 9*y - y**2 + 9*y. Let c(g) = 28*g**3 + 39*g**2 - 4. Let x(t) = -c(t) - 4*d(t). Find the third derivative of x(i) wrt i.
-144
Suppose -6 = -4*n + 6, -4*n = y - 52. Find the third derivative of -37*v**2 + 9*v**2 - 11*v**3 - 2*v**2 + y*v**3 wrt v.
174
Find the third derivative of 12*v + 2*v**2 - 12*v**3 + 7*v**3 + 6*v**3 + 9*v**3 + 13*v**3 wrt v.
138
Suppose -10*l + 4 = -8*l. Find the third derivative of -11*b**l - 7*b**6 + 2*b**2 + 18*b**6 - 3*b**2 wrt b.
1320*b**3
Let j(u) be the second derivative of 0*u**6 + 0*u**3 + 20*u + 7/12*u**4 + 0 + 0*u**5 + 0*u**2 + 33/56*u**8 + 0*u**7. What is the third derivative of j(n) wrt n?
3960*n**3
Let y(o) = 22*o**3 - 15. Suppose 0 = s + 2*s - 18. Let h(m) = -178*m**3 + 120. Let k(w) = s*h(w) + 51*y(w). Differentiate k(r) with respect to r.
162*r**2
Let a(s) = 7 - 2 - s**2 + 14 - 6*s. Suppose -95 = -16*m + 1. Let q(f) = -2*f**2 - 13*f + 39. Let k(z) = m*q(z) - 13*a(z). What is the derivative of k(j) wrt j?
2*j
Let f(a) = -2*a**4 - 10*a**3 - 4*a**2 - 8*a - 108. Let h(k) = -k**4 - k**2 - 2*k - 1. Let l(v) = -f(v) + 4*h(v). Differentiate l(r) with respect to r.
-8*r**3 + 30*r**2
Let r(w) = w**4 + 2*w**3 - w**2 - 2*w + 1. Let q(z) = -5*z**4 - 6*z**3 + 7*z**2 + 11*z - 29. Let p(o) = q(o) + 3*r(o). Find the second derivative of p(v) wrt v.
-24*v**2 + 8
Find the third derivative of -4*j**2 - 216*j**3 - 345 - 24*j**2 + 344 wrt j.
-1296
Suppose 3*c - 2*o - 440 = 0, 3*c - 3*o + 8*o - 412 = 0. What is the first derivative of 144*h**2 + 9 + 8*h**3 - c*h**2 wrt h?
24*h**2
Let p(l) be the third derivative of -13*l**8/24 + l**5/60 - 7*l**4/12 + 2*l**2 + 19*l. Find the third derivative of p(i) wrt i.
-10920*i**2
Let d be ((-140)/16)/5*-4. Differentiate -24*a + d*a - 1 - 26 with respect to a.
-17
Let v(x) = 264*x - 445. Let p(h) = 791*h - 1338. Let w(r) = -3*p(r) + 8*v(r). Differentiate w(g) with respect to g.
-261
Let a(d) = 2*d**2. Let v be a(-1). Let g be (-17)/(-6) - v/(-12). What is the third derivative of 90*m**2 - 84*m**2 - g*m**6 - m**6 wrt m?
-480*m**3
Let r = -538 + 538. Let i(y) be the third derivative of r*y + 1/30*y**5 + 0*y**3 - 1/12*y**4 - 4*y**2 + 0. What is the second derivative of i(j) wrt j?
4
What is the second derivative of 90*p + p**2 - 134 + 134 - 624*p - 23*p**3 - 10*p**3 wrt p?
-198*p + 2
Let u(m) be the third derivative of 59*m**8/42 + m**5/20 + 5*m**4/12 + 505*m**2. What is the third derivative of u(o) wrt o?
28320*o**2
Let k(c) = -7*c**2 + 10*c + 9. Let m(o) = -o**2 + 2*o. Let u(l) = k(l) - 5*m(l). Find the first derivative of u(w) wrt w.
-4*w
Suppose 5*x - 40 = 2*j, x + x + 5*j + 13 = 0. What is the third derivative of 22*g**x - 8*g**6 - 3*g**2 - 4*g**2 wrt g?
1680*g**3
Let h(x) = x**3 - 14*x**2 - 15*x + 3. Let b be h(15). Find the second derivative of 8*l**5 - 16*l**5 - 3*l**5 + b*l wrt l.
-220*l**3
Let b(r) be the first derivative of -8*r**5/5 - 17*r**2/2 - 25*r - 26. Let m(p) be the first derivative of b(p). Find the first derivative of m(h) wrt h.
-96*h**2
Suppose -27 = -3*q + 2*d, -2*q - 18 = -5*q - d. Let g(h) be the second derivative of q*h - 1/2*h**2 + 0 - 7/6*h**3. Find the first derivative of g(t) wrt t.
-7
Let v(a) = 2*a**3 - 12*a - 122. Let b(l) = -6*l**3 + 36*l + 365. Let h(n) = 3*b(n) + 8*v(n). Differentiate h(c) with respect to c.
-6*c**2 + 12
Suppose -3*f + 24 = -5*f. Let a = -10 - f. What is the second derivative of -a*v + 5*v**2 - 13*v**2 + 6*v**2 + 3*v**2 wrt v?
2
Let j = 4 - -2. Find the first derivative of -149*l**2 - j + 149*l**2 + 14*l**3 - 4 wrt l.
42*l**2
What is the first derivative of 188*m + 203*m + 65*m + 440 wrt m?
456
Let j(i) = 198*i - 73. Let d(c) = -66*c + 24. Let z(y) = -7*d(y) - 2*j(y). What is the deri