8
Let r(q) = q**4 - q**3 - q**2 + 2*q + 1. Let w(v) = 12*v**4 - v**3 - 74*v**2 + 2*v + 1. Let i(n) = -r(n) + w(n). What is the third derivative of i(y) wrt y?
264*y
Let j(l) = 2*l**2 + 0*l**3 - 2*l + 12 + 3*l**2 + 4*l + l**3. Let y be j(-5). Find the first derivative of -y*f + 0 - 2 + 10*f wrt f.
8
Let d(j) be the second derivative of j**5/20 + 11*j**4/12 + 3*j**3/2 - 9*j**2/2 + 2*j. Let v be d(-10). Differentiate f**2 - 8 - 5*f**2 + v + 2*f**2 wrt f.
-4*f
Find the first derivative of k**2 + 2*k**4 + 760328*k**3 - 487 - 760328*k**3 wrt k.
8*k**3 + 2*k
Let i(t) be the third derivative of -t**6/40 - t**5/4 - 59*t**3/6 - 27*t**2 - 2*t. Differentiate i(h) with respect to h.
-9*h**2 - 30*h
Let w(f) be the second derivative of -5*f - 7/2*f**3 - 2*f**2 + 0. Differentiate w(a) with respect to a.
-21
Let z = 2 - -20. What is the first derivative of 0*c - z*c**4 - 16*c**4 + 13 + 0*c wrt c?
-152*c**3
Suppose k = 4*k - 36. Let j = -9 + k. Find the third derivative of s**2 + s**3 - s**j - s**3 wrt s.
-6
Let p(m) be the third derivative of 0 + 0*m**5 - 11/3*m**3 + 0*m**4 + 0*m + 0*m**6 + 3/35*m**7 + 17*m**2. What is the derivative of p(a) wrt a?
72*a**3
Let a(k) be the second derivative of 25*k**8/56 + 5*k**4/3 - 85*k + 1. What is the third derivative of a(p) wrt p?
3000*p**3
Let w(v) = v**2 - 4*v + 5. Let p(k) = -k**2 - k - 1. Let c be p(1). Let r(o) = -2*o**2 + 3*o - 6. Let i(z) = c*w(z) - 4*r(z). Differentiate i(g) wrt g.
10*g
Let c(f) = 57*f**3 - 12*f**2 - 599. Let p(r) = 170*r**3 - 33*r**2 - 1798. Let z(x) = -11*c(x) + 4*p(x). Differentiate z(v) with respect to v.
159*v**2
Let f(i) = -49*i**3 + 12*i**2 + 4*i - 871. Let x(w) = -5*w**3 + 2*w**2. Let d(y) = f(y) - 6*x(y). Find the first derivative of d(n) wrt n.
-57*n**2 + 4
Let g(l) be the second derivative of l**7/7 + l**6/30 + 5*l**4/12 + 3*l**2/2 + 18*l. Find the third derivative of g(o) wrt o.
360*o**2 + 24*o
Suppose 3*m - 7*m - 88 = -4*k, 2 = -m - 4*k. Let f = -15 - m. What is the third derivative of 2*b**2 + b**3 - 2*b**3 + 4*b**f - b**3 wrt b?
12
Let x(q) = -135*q - 130. Let w(p) = 269*p + 255. Let y(f) = -2*w(f) - 5*x(f). Find the first derivative of y(m) wrt m.
137
Let x(a) be the second derivative of 1/4*a**5 + 0*a**2 + 6*a**3 + 18*a + 0 + 0*a**4. Find the second derivative of x(j) wrt j.
30*j
Find the first derivative of 4 + 5*h + 19*h**3 - 7 + 23*h**3 - 11 - 2*h wrt h.
126*h**2 + 3
Let n(a) be the first derivative of 0*a**2 - 16 + 0*a**3 + 4/5*a**5 + 6*a + 0*a**4. Differentiate n(c) wrt c.
16*c**3
Suppose 0 = n - 3*n + 10. Suppose -n*l + 48 = 2*w - 3*w, 3 = -l - 4*w. Find the third derivative of -2*p**2 + 9*p - l*p - p**5 wrt p.
-60*p**2
Suppose -2*b + 5*h - 23 = 10, 5*b = 3*h - 73. Let x = b + 17. What is the derivative of 1 - s**3 - 6*s**3 + 0*s**x + 0*s**3 wrt s?
-21*s**2
Let w(v) = -125*v**2 - 227. Let o(a) = 124*a**2 + 226. Let k(s) = 4*o(s) + 3*w(s). What is the derivative of k(d) wrt d?
242*d
Let f(v) be the third derivative of 0 + 0*v + v**3 - 6*v**2 - 1/12*v**4 + 1/120*v**5. Let w(y) be the first derivative of f(y). Differentiate w(m) wrt m.
1
Differentiate -1008 + 2165 - 1012 - 223*x wrt x.
-223
Let i(c) be the first derivative of 13*c**5/20 - 3*c**3 - c**2 + 3. Let o(t) be the second derivative of i(t). What is the first derivative of o(n) wrt n?
78*n
Let j be -46*(5/(-18) - (-6)/(-27)). What is the first derivative of 51*i**2 - j*i**2 - 28*i**2 + 12*i**4 + 14 wrt i?
48*i**3
Let z(i) = 91*i**3 + 2*i - 25. Let u(o) = 182*o**3 + 4*o - 49. Let c(m) = 3*u(m) - 5*z(m). Find the second derivative of c(h) wrt h.
546*h
Let z(k) = -3*k**4 - k**3 - k**2 - k - 1. Let v(l) = -6*l**4 + 2*l**3 + 22*l**2 + 5*l + 6. Let q(y) = -v(y) - 6*z(y). Find the third derivative of q(w) wrt w.
576*w + 24
Let q(d) = -4 + d + 5 - 28. Let m(w) = -2*w + 82. Let x(u) = 5*m(u) + 16*q(u). Differentiate x(j) wrt j.
6
Let j(r) = 27*r**3 - 14*r**2 - 12*r - 536. Let d(h) = -2*h**2 - 2*h. Let v(y) = 6*d(y) - j(y). Differentiate v(g) with respect to g.
-81*g**2 + 4*g
Suppose -13*o - 9 = -14*o. Let h(m) = m - 3. Let w be h(o). Differentiate 0*p**2 + 3*p**2 - w - 8*p**2 wrt p.
-10*p
Let a(w) be the first derivative of 13/5*w**5 + 0*w**4 + 0*w**2 + 0*w + 11/3*w**3 + 3. Find the third derivative of a(g) wrt g.
312*g
What is the second derivative of 3*a**5 - 6*a + a**5 - 35*a**2 + 13*a**2 + 4 + a**5 + 18 wrt a?
100*a**3 - 44
Let h(c) be the first derivative of -1/6*c**4 + 0*c**2 + 5*c + 2/3*c**3 + 3. Let m(u) be the first derivative of h(u). Find the second derivative of m(s) wrt s.
-4
Let u(g) = g**3 - 2*g**2 - 3*g + 2. Let r be u(3). Suppose 0 = -3*y - r*y. Find the first derivative of -28*l + y + 23*l + 5 wrt l.
-5
Let s = 40 - 38. What is the third derivative of 10*j**6 - 8*j**s + 13*j**6 - j**2 + 2*j**2 wrt j?
2760*j**3
Find the second derivative of -u**3 + 0*u**3 - u**3 + 2*u + 0*u**4 + 13 + 35*u**4 wrt u.
420*u**2 - 12*u
Let c(j) = 3*j - 10. Let f be c(6). What is the derivative of 1 + f*n - 15*n + 8 wrt n?
-7
Differentiate 4*f**4 + 83 - 21*f - 77 + 6*f wrt f.
16*f**3 - 15
Let j(b) = 8*b**3 + 4*b + 31. Suppose 5*g = g + 16. Let r(o) = -15*o**3 - 7*o - 61. Let t(z) = g*r(z) + 7*j(z). Differentiate t(q) with respect to q.
-12*q**2
Suppose -3*w - 3 + 18 = 0. What is the second derivative of -37*m + 11*m**5 - 3*m**5 + 36*m + 18*m**w wrt m?
520*m**3
Let f(j) = j**2 - 5*j - 2. Let v be f(6). What is the derivative of -8 - 17 - 27*w**v - 4 wrt w?
-108*w**3
Let r = -87 + 90. What is the third derivative of 17*z**6 + 19*z**2 + r*z**4 + 11*z**6 - 3*z**4 wrt z?
3360*z**3
Let h = 75 + -41. Let b be h/6 - (-4)/12. Find the second derivative of -6*k - 3*k**2 - 3*k**2 - 3*k**2 + b*k**2 wrt k.
-6
Let c(m) be the second derivative of 9/20*m**5 - 17/6*m**3 - m + 0*m**4 + 0*m**2 + 0. What is the second derivative of c(q) wrt q?
54*q
Let r(y) = -y**3 - 6*y**2 - 4*y + 6. Let u be r(-5). Suppose -n + u = -2. Find the second derivative of 3*t**3 - 3*t - 3*t**3 + 2*t**n + 6*t wrt t.
12*t
Let t(m) = 362*m**2 + 2*m + 567. Let c(z) = -724*z**2 - 5*z - 1136. Let r(q) = 2*c(q) + 5*t(q). What is the derivative of r(h) wrt h?
724*h
Let w(m) = -6*m - 24. Suppose 2*p - 8 = -q, 5*p - 7*q = -2*q + 35. Let o(s) = -4*s - 16. Let k(x) = p*w(x) - 7*o(x). Find the first derivative of k(g) wrt g.
-2
Let b be 6*8/9*9/4. What is the second derivative of 9*g - b*g - 17*g - 5*g - g**3 wrt g?
-6*g
Suppose 3 = -3*a + 12. Let f = 216 - 212. Find the first derivative of 10*r**3 + 3*r**a - r**3 - f wrt r.
36*r**2
Let w(v) be the second derivative of 317*v**5/20 - 315*v**2/2 - 267*v. What is the derivative of w(m) wrt m?
951*m**2
Let x(g) = -9*g**2 + 2*g - 3. Let t(w) = 26*w**2 - 7*w + 10. Suppose 0 = -4*b + 8. Let h(m) = b*t(m) + 7*x(m). Differentiate h(v) with respect to v.
-22*v
Find the third derivative of -24*z**2 + z**5 - 2*z + 63*z**2 - 20*z**2 - 20*z**2 + 5*z**6 wrt z.
600*z**3 + 60*z**2
What is the third derivative of 1482*v + 4*v**2 + 54*v**3 - 747*v - 749*v wrt v?
324
Find the second derivative of -4*y**3 + 164*y - 363*y - 5*y**5 - 39*y**5 wrt y.
-880*y**3 - 24*y
Suppose -12 - 3 = -3*g. What is the third derivative of 0 + 3 + 14*j**2 + 11*j**g - 3 wrt j?
660*j**2
What is the first derivative of 245 + 101*b**2 + b + 71 + 341 wrt b?
202*b + 1
Suppose 7*i - 10*i = -6. Find the second derivative of -8*q + 18*q + 3*q**i + 3*q**2 + 12*q wrt q.
12
Let t(p) = p**2 - p. Let x(u) = -2*u**2 + 31*u - 2*u**2 - 9*u**3 + 34*u**3. Let d(f) = 4*t(f) + x(f). What is the second derivative of d(g) wrt g?
150*g
Let z(w) be the second derivative of -w**9/84 + 2*w**5/15 - 9*w**2/2 + 2*w. Let n(f) be the first derivative of z(f). Find the third derivative of n(k) wrt k.
-720*k**3
Let j(d) = -30*d**3 + 12*d**2 - 258*d - 12. Let u(c) = 31*c**3 - 10*c**2 + 257*c + 10. Let w(m) = -5*j(m) - 6*u(m). What is the second derivative of w(i) wrt i?
-216*i
Let g(z) be the third derivative of -z**9/1512 - z**5/15 - z**4/2 + 4*z**2. Let c(h) be the second derivative of g(h). What is the derivative of c(t) wrt t?
-40*t**3
Let m = -48 - -50. Find the third derivative of -19*v**m - 5*v**2 + v**2 - 11*v**5 wrt v.
-660*v**2
Suppose -7*b + 12 = -4*b. What is the second derivative of 6*n + 8*n**2 - b*n + 2*n + n**2 wrt n?
18
Differentiate 171*w**4 - 57*w**4 + 129*w**4 - 641 + 3*w**2 - 3*w**2 wrt w