5*i + 10. Let w(h) = 371*h**3 + 967*h**2 - 4*h - 8. Let p(r) = 4*n(r) + 5*w(r). Find the third derivative of p(k) wrt k.
2178
Suppose w - 5*w + 44 = 0. Suppose 4*r + 3 - w = 0. Differentiate -2*d**2 + 0*d**r + 1 - 4*d**2 with respect to d.
-12*d
Suppose -5 = -4*s + 3. What is the third derivative of 3*q**2 - q**s + 20 + 103*q**3 - 102*q**3 + q**5 wrt q?
60*q**2 + 6
Let a(z) be the third derivative of -13*z**6/12 - 5*z**4/12 - 17*z**2. Find the second derivative of a(r) wrt r.
-780*r
Let l(n) = 111*n**2 + 80*n + 5. Let h(q) = -112*q**2 - 79*q - 6. Let v(b) = -5*h(b) - 6*l(b). What is the second derivative of v(c) wrt c?
-212
Let n(l) = l**3 + l. Let x(m) = -36*m**3 - 16*m**2 - 8*m. Let v(d) = -5*n(d) - x(d). Find the third derivative of v(g) wrt g.
186
Let k(h) = -3*h - 28. Let c be k(-9). Let s = c + 3. Differentiate -8 + 3*b + 0 + 2*b + s with respect to b.
5
Find the third derivative of -3*q + 111*q**3 - q**2 + 12*q**2 + 0*q + 11*q**2 wrt q.
666
Let i be 57/95 - (-1694)/10. Find the third derivative of -23*x**2 + i + 49*x**4 + 6*x**2 - 170 wrt x.
1176*x
Let l(k) = 158*k - 181. Let a(m) = -156*m + 180. Let q(i) = -3*a(i) - 4*l(i). Find the first derivative of q(z) wrt z.
-164
Let p = 10 - 7. Differentiate -7*z**2 - 7 + p*z**2 + 8 + 4 with respect to z.
-8*z
Let d(f) = 90*f**3 - 2*f**2 - 26. Let j(t) = -179*t**3 + 5*t**2 - t + 49. Let q(u) = -5*d(u) - 2*j(u). Find the first derivative of q(b) wrt b.
-276*b**2 + 2
Let m(s) be the third derivative of 13*s**7/70 - s**4 - s**3/3 - 142*s**2. Find the second derivative of m(t) wrt t.
468*t**2
Let d(c) be the second derivative of 0*c**2 + 13*c + 7/12*c**4 + 3/14*c**7 + 0*c**5 + 0*c**6 + 0*c**3 + 0. What is the third derivative of d(r) wrt r?
540*r**2
Let f = 35 - 29. Let s(r) = 16*r**6 - 6*r**4 + 4*r**2 + 6*r. Let u(n) = n**6 + n**4 - n. Let g(q) = f*u(q) + s(q). What is the third derivative of g(b) wrt b?
2640*b**3
Let i(j) = 83*j**2 + 36. Let y(q) = -3*q**2 - 1. Let n(h) = -i(h) - 4*y(h). Find the first derivative of n(f) wrt f.
-142*f
Let l be 12/27 + (-84)/189. Let j(s) be the first derivative of 0*s - 3/4*s**4 + l*s**3 - 7/2*s**2 - 1. What is the second derivative of j(o) wrt o?
-18*o
Let p(s) = 16*s**2 + 39*s. Suppose 72 = 11*r + r. Let o(u) = -u**2 + u. Let m(q) = r*o(q) - p(q). Find the second derivative of m(x) wrt x.
-44
Let x = 70 - 66. What is the derivative of -12 - 3*j**3 - x + 10*j**3 + 9 wrt j?
21*j**2
Let r(s) = 3155*s**2 + 3420*s. Let u(n) = 451*n**2 + 488*n. Let h(j) = -2*r(j) + 15*u(j). What is the second derivative of h(o) wrt o?
910
Let o(x) be the second derivative of -31*x**5/20 + x**4/3 + 23*x**3/6 - 5*x**2/2 - x + 296. Find the second derivative of o(n) wrt n.
-186*n + 8
Let k(v) = -3*v**2 + 3*v + 2. Let u(c) = -1 - 3*c**2 - c + 4*c - c + 3. Let b(x) = 2*k(x) - 3*u(x). Find the first derivative of b(r) wrt r.
6*r
Let w = 77 + -75. What is the second derivative of 6*b + 3*b**2 - 14*b**2 - 7*b**w + 0*b**2 wrt b?
-36
Let f(q) be the first derivative of -4*q**5/5 - 113*q**2 - 31. What is the second derivative of f(r) wrt r?
-48*r**2
Let o(f) be the second derivative of f**4/12 - 5*f**3/2 + 8*f**2 + f. Let g be o(14). Find the third derivative of 0*q**g + 4*q**2 + q**6 + 3*q**6 + q**2 wrt q.
480*q**3
What is the derivative of -407*t**2 - 1819798*t**3 + 291 + 1819798*t**3 + t**4 wrt t?
4*t**3 - 814*t
Suppose -w - 5*x = -2*x - 17, 57 = 4*w + x. Find the third derivative of -2*r**5 - w*r**2 + r**2 + 4*r**5 + 6*r**5 wrt r.
480*r**2
Let w(i) = i**3 + 7*i**2 - 9*i - 3. Let a be -10 + (-4)/(-4)*2. Let d be w(a). What is the second derivative of -2*p**5 - p**d - 27*p + 36*p + 0*p**5 wrt p?
-60*p**3
Let a(p) = -119*p - 34. Let m(b) = 24*b + 7. Let s(k) = 3*k + 64. Let o be s(-22). Let g(z) = o*a(z) - 11*m(z). Differentiate g(j) with respect to j.
-26
Let t(f) = -f**3 - f - 1. Let a(c) = 2*c**3 - 10*c**2 + 6*c + 6. Let u be 8/(-2)*(-18)/12. Let p(q) = u*t(q) + a(q). What is the third derivative of p(h) wrt h?
-24
Let l(f) be the second derivative of 11*f - 8/3*f**4 - 47/6*f**3 + 0*f**2 + 2. Find the second derivative of l(i) wrt i.
-64
Let f(r) be the third derivative of -1/15*r**6 + 0*r - 11/2*r**3 + 0*r**5 + 9*r**2 + 0*r**4 + 0. What is the first derivative of f(i) wrt i?
-24*i**2
Suppose 3 = 5*p - 37. Find the third derivative of 64 + p*a**3 - 64 + 28*a**2 wrt a.
48
Let c(v) = -287*v**5 - 3*v**4 - 8*v + 52. Let x(f) = -143*f**5 - f**4 - 4*f + 25. Let z(b) = -2*c(b) + 5*x(b). Find the second derivative of z(q) wrt q.
-2820*q**3 + 12*q**2
What is the third derivative of 26*v**2 + 8577*v**5 - 8676*v**5 - 123*v**2 wrt v?
-5940*v**2
Suppose 4*y - 30 = 2. Let z be ((-2)/(-3))/(y/84). Differentiate 5*h - 3*h - 5*h + z with respect to h.
-3
Let k(a) = 84*a**3 + 2*a**2 - a - 4. Let h(f) = -f**3 + f**2 - 1. Let r(z) = -2*h(z) + k(z). Find the second derivative of r(c) wrt c.
516*c
Let z(i) = -42*i**4 + 2*i**3 + 21*i**2. Let l(u) = u**4 - u**2 + 1. Let x(w) = -2*l(w) + z(w). Find the third derivative of x(f) wrt f.
-1056*f + 12
Suppose -5*m - 18 = g, -3*m - 33 + 13 = -4*g. Let j be (2 + 0 + -1)*g. Find the first derivative of -3 + j - d**4 - 4 wrt d.
-4*d**3
Let k(l) = -209*l - 160. Let m(s) = 104*s + 81. Let n(w) = -3*k(w) - 5*m(w). Differentiate n(f) wrt f.
107
Find the third derivative of 2553*s - 3 - 2553*s - 102*s**3 - 53 + 2*s**2 wrt s.
-612
Let h(m) be the third derivative of 0*m - 15*m**2 - 1/3*m**3 + 0 + 5/12*m**4. What is the first derivative of h(g) wrt g?
10
Let a(j) = -688*j**3 + 2*j**2 - 61*j + 1. Let r(u) = 687*u**3 - 3*u**2 + 62*u - 2. Let z(t) = -3*a(t) - 2*r(t). Find the second derivative of z(g) wrt g.
4140*g
Let g(a) = -22*a**2 - 4*a + 79. Let v(p) = 25*p**2 + 3*p - 78. Let l(x) = -3*g(x) - 4*v(x). What is the first derivative of l(q) wrt q?
-68*q
Let c be 12/10 - 8/40. Let h = 4 + c. Find the third derivative of -2*i**h - 4*i**5 - i**2 + 10*i**5 wrt i.
240*i**2
Let r(o) be the third derivative of 3*o**5/40 - 3*o**4/8 - o**3 + 10*o**2. Let c(d) be the first derivative of r(d). What is the derivative of c(f) wrt f?
9
Let f(m) be the second derivative of 987*m**5/20 - 109*m**3 - 2*m + 303. Find the second derivative of f(r) wrt r.
5922*r
Let p(x) = 3*x - 7. Let q be p(3). Suppose -q*b = 2*b - 28. Find the second derivative of -14*w**2 - 4*w + b*w**2 - 2*w wrt w.
-14
Let i(q) = -1054*q**2 - 769*q - 5. Let h(y) = 527*y**2 + 384*y + 3. Let l(p) = -5*h(p) - 3*i(p). What is the second derivative of l(x) wrt x?
1054
Suppose -c - 7 = 2. Let h(p) = p**2 + 9*p + 5. Let y be h(c). Find the second derivative of y*b + 0 + 6 - b**2 - 6 wrt b.
-2
Suppose 13*s - 19 = 59. Find the third derivative of -49*n**6 + 6*n**2 - 48*n**s + 93*n**6 - 3*n**5 + 5*n**2 wrt n.
-480*n**3 - 180*n**2
Let b(q) = 18*q**2 - 16*q - 14. Let x(v) = 1. Let g(f) = -5*b(f) - 70*x(f). Find the second derivative of g(w) wrt w.
-180
Let c(l) be the first derivative of -18*l**5/5 - l**4/2 + 2*l**3/3 + 27*l + 8. Find the third derivative of c(f) wrt f.
-432*f - 12
Let s(j) be the first derivative of 0*j + 0*j**2 + 17 - 1/3*j**3 - 5/2*j**4. Find the third derivative of s(h) wrt h.
-60
Find the second derivative of 74*x**4 - 86*x + 373*x - 183*x + 1 wrt x.
888*x**2
Let p(t) be the second derivative of -7*t - 1/6*t**3 + 0 - 1/2*t**2. Differentiate p(j) with respect to j.
-1
Find the third derivative of -14520*y**3 + 74*y**6 + 62*y**2 + 14518*y**3 - 9*y**2 wrt y.
8880*y**3 - 12
Suppose 5*d = m + 1 + 8, 2*d + 2 = -m. What is the first derivative of 8 + c**2 + 2 - d + 0 wrt c?
2*c
Let z = -79 + 97. Differentiate -z*y + 370 - 352 - 28*y + 8*y wrt y.
-38
Let b(n) = -149*n - 110. Let s(h) = -75*h - 54. Let d(q) = -4*b(q) + 7*s(q). Find the first derivative of d(z) wrt z.
71
Find the second derivative of 0 - 30*a + 19*a - 48*a - 256*a**3 + 1 + 73*a**3 wrt a.
-1098*a
Let b(t) = -t**3 + t**2 - t. Let j(o) = -12*o**3 - 5*o**2 - 15*o - 1. Let l(h) = -5*b(h) - j(h). Find the second derivative of l(a) wrt a.
102*a
Suppose 0 = -4*w + 11 + 1. Let a = -1 + 7. What is the third derivative of 3*f**2 + 10*f - 6*f**w - a*f - 4*f wrt f?
-36
Let i(s) be the third derivative of 17*s**6/120 - s**5/60 + 5*s**4/12 - 59*s**2 + 1. Find the third derivative of i(d) wrt d.
102
Let q be (4/(-6))/((-2)/24). Find the third derivative of -q*o**3 + 0*o**3 + 1