 i(r) = 4*r**3 - 6*r + 5. Let c(n) = 8*n**3 - 13*n + 11. Suppose -6*y + 6 = -7*y. Let z(x) = y*c(x) + 13*i(x). Differentiate z(o) wrt o.
12*o**2
Differentiate -428999*t**2 + 428999*t**2 - 162*t**4 + 70 with respect to t.
-648*t**3
Let b(z) = -z**3 - 5*z**2 - 7*z - 4. Let f be b(-5). Differentiate 17*y + f - 6*y + 2*y + 8*y wrt y.
21
Let h be (-2)/(-5) + 144/(-60). Let y be ((-10)/(-15))/(h/(-15)). What is the second derivative of 4*x**5 - 4*x - x**5 + 0*x**y wrt x?
60*x**3
Let l = -87 - -2611/30. Let u(y) be the third derivative of 0 - l*y**6 - 5*y**2 + 0*y + 0*y**5 + 0*y**3 + 3/8*y**4. What is the second derivative of u(h) wrt h?
-24*h
Let a(d) = -11*d**3 - 23*d**3 + 32*d**3 + 1 - 4*d. Let j(i) = 7*i**3 + i**2 + 16*i - 5. Let y(n) = -9*a(n) - 2*j(n). Find the second derivative of y(s) wrt s.
24*s - 4
Suppose d - 5 = -0*d. Suppose 14 + 6 = d*s. Find the second derivative of c + 8*c**4 + 3*c - 12*c**s wrt c.
-48*c**2
Let m(x) be the first derivative of -98*x**3/3 - 76*x**2 - 210. Find the second derivative of m(y) wrt y.
-196
Let r(x) be the second derivative of x**8/420 + x**4/6 - 7*x**3/3 + 21*x. Let w(t) be the second derivative of r(t). Find the first derivative of w(l) wrt l.
16*l**3
Let x be (6 - 1)/((-65)/(-26)). Find the first derivative of -7 + 22*v**2 - 14*v**x - 19*v**2 wrt v.
-22*v
Let g(q) = -489*q - 555. Let b(u) = 326*u + 370. Let c(w) = 7*b(w) + 5*g(w). Differentiate c(f) wrt f.
-163
Suppose -3*j - 2*u = -6, 5 = -j - 5*u - 6. Differentiate 9*l**4 + 10*l**j + 6 + 6 + 6 with respect to l.
76*l**3
Let u(c) = 4*c - 2. Let r be u(3). Let w be (15/(-25))/((-1)/r). Differentiate 10 + w*j**4 - 8 + 7 with respect to j.
24*j**3
Let a(z) be the third derivative of 29*z**6/10 + 829*z**4/24 - 610*z**2. What is the second derivative of a(i) wrt i?
2088*i
Let k be (-42 + -4)*4/(-8). Suppose -3*l + 3 = 3*h, 4*h + 3 = 4*l + k. Find the third derivative of 5*f**3 + 5*f**h + 3*f**2 + 0*f**3 - 2*f**3 wrt f.
48
What is the derivative of -2 - 28 - 25*i**2 - 88 + 13 wrt i?
-50*i
Suppose 0 = 3*k + 4*x - 37, -4*k + x + 20 = -x. What is the second derivative of 2*n - k*n - 10*n**3 - 6*n wrt n?
-60*n
Suppose -4*d = -8 - 4. Suppose -k = -d*k + 18. What is the third derivative of y**5 - k*y**2 + 3*y**5 + 6*y**5 + 0*y**5 wrt y?
600*y**2
Let l(r) be the second derivative of -117*r**8/28 - r**4/12 - 27*r**2 - 242*r. Find the third derivative of l(k) wrt k.
-28080*k**3
Suppose x + 2*x + 2*f - 38 = 0, -2*x - 3*f + 27 = 0. Let o = x - 11. Find the first derivative of -o + v**4 + 1 + 1 wrt v.
4*v**3
Let m(y) be the first derivative of -41*y**4/2 + y**2 - 15*y - 88. Find the second derivative of m(i) wrt i.
-492*i
What is the third derivative of 3*t**5 - 485*t**2 - 134*t**2 + 8*t**6 + 2*t**6 wrt t?
1200*t**3 + 180*t**2
Let o(l) = -22*l + 9. Let w be ((-22)/(-55))/(1/10). Let h(k) = -21*k + 8. Let s(d) = w*h(d) - 3*o(d). What is the derivative of s(f) wrt f?
-18
Suppose -4*v + 18 = -v. Find the third derivative of 12*z**6 - 29*z**6 - 15*z**v - 14*z**2 - 8*z**2 wrt z.
-3840*z**3
Let u = 21 - 20. Differentiate -20*a + 9*a - u + 5*a with respect to a.
-6
Let i be (-3 - -3)/(1*-1). Suppose f + 4*q = -i*q + 18, -2*f = 4*q - 20. Find the third derivative of 24*r**f - 6*r**3 - 17*r**2 - r**3 wrt r.
-42
What is the second derivative of -208*o + 182*o**3 + 336*o**3 + 3 - 2 - 682*o**3 wrt o?
-984*o
What is the derivative of -58*c + 12 + 45 - 19 wrt c?
-58
Suppose -2*j + 15 = 3*u, 2*u + 3 - 1 = 0. Let r(a) = a - 5. Let g be r(j). What is the third derivative of -g*f**2 - 2*f**3 + f**2 + 0*f**3 wrt f?
-12
What is the second derivative of -20*l**2 - 147*l + l**2 + 19*l**2 + 195*l**4 - 24*l wrt l?
2340*l**2
Let r(n) be the third derivative of -2*n**7/105 + n**6/10 - 8*n**5/5 - 2*n**2 - 28. Find the third derivative of r(m) wrt m.
-96*m + 72
What is the third derivative of 36*y**2 - 81*y**5 + 19*y**5 - 7*y**5 + 4*y**5 wrt y?
-3900*y**2
Differentiate -967 + 851 - 539 - 708*c with respect to c.
-708
Find the second derivative of -5*r**2 + 175*r**5 - 99 + 5*r**2 + 58 + 2*r wrt r.
3500*r**3
Let l(j) be the first derivative of j**5/12 + j**4/4 - 11*j**3/3 - 2. Let r(p) be the third derivative of l(p). Find the first derivative of r(o) wrt o.
10
Let v(x) be the second derivative of -3*x**5/4 - x**4/6 + 71*x**2/2 - 12*x. Differentiate v(n) with respect to n.
-45*n**2 - 4*n
Find the third derivative of 23*m**5 + 5*m**2 - 2*m**2 - 866*m**4 + 865*m**4 wrt m.
1380*m**2 - 24*m
Let s(v) be the first derivative of 13*v**4/4 - 2*v**3/3 - 214*v + 272. What is the third derivative of s(f) wrt f?
78
Let q(a) = 119*a**2 - 953*a + 4. Let h(w) = 12*w**2 + w - 1. Let z(n) = -4*h(n) - q(n). Find the second derivative of z(u) wrt u.
-334
Let i(k) = 38*k**3 - 2*k**2 + 5. Let h(n) = -n**3 - 5*n**2 + 1. Let f(j) = -3*h(j) + i(j). Find the third derivative of f(p) wrt p.
246
Let a(d) be the first derivative of 23/6*d**6 + 0*d**2 + 20 + 0*d**5 + 0*d + 0*d**4 - 19/3*d**3. Find the third derivative of a(t) wrt t.
1380*t**2
Suppose -2*l = 4*m - 4, -16 + 0 = -3*l + 4*m. What is the derivative of -5 - 5*g**4 - g**l + 5*g**4 wrt g?
-4*g**3
Let q(i) be the third derivative of 13*i**7/5040 + 13*i**6/720 + i**5/60 + 10*i**2. Let c(k) be the third derivative of q(k). Differentiate c(d) wrt d.
13
What is the derivative of 82 + 11705*o - 3*o**4 + 8*o**2 - 11705*o wrt o?
-12*o**3 + 16*o
Find the third derivative of 673279 - 2*h**4 + 432*h**2 - 673279 - 141*h**3 wrt h.
-48*h - 846
Differentiate 6*q + 10*q - 2*q - 33 + 20*q with respect to q.
34
Let o(s) be the first derivative of 2*s**6/3 + 11*s**5 + 22*s**3 - 125. Find the third derivative of o(k) wrt k.
240*k**2 + 1320*k
Let h(k) = -3*k - 45. Let c be h(-17). Differentiate 6*r**2 - 12*r**2 - 24*r**3 + 10 + c*r**2 wrt r.
-72*r**2
Let q(c) = -c**2 + 5*c - 2. Let l = 17 - 13. Let s be q(l). Differentiate -s - 3*k**3 + 3 - 4*k**3 with respect to k.
-21*k**2
Let l(d) = -3*d + 10. Let k be ((-18)/(-27))/((-1)/(-36)). Let v = k + -28. Let y(r) = 4*r - 10. Let g(o) = v*y(o) - 5*l(o). Differentiate g(u) wrt u.
-1
Let y be 3/(-6) + (-2 - (-46)/4). What is the first derivative of 14 - 9*k**3 + y - 10 wrt k?
-27*k**2
Let f(h) = 318*h - 341. Let x(p) = 4152*p - 4432. Let v(a) = -80*f(a) + 6*x(a). Find the first derivative of v(n) wrt n.
-528
Let o(a) be the second derivative of -a - a**4 + 1/2*a**3 + 2*a**2 - 5. Find the second derivative of o(s) wrt s.
-24
What is the derivative of 159 + 334 - 321*t**4 - 92 wrt t?
-1284*t**3
Let k(b) be the second derivative of b**5/20 - b**3/2 + 163*b**2/2 + 10*b + 9. What is the first derivative of k(z) wrt z?
3*z**2 - 3
Let t = 12 + -10. Find the second derivative of 3*d**2 - 5*d + 0*d - 2*d**t - 8*d**2 wrt d.
-14
What is the third derivative of -5*s + 5*s - 62*s**2 - 19*s**3 - 71756*s**4 + 71752*s**4 wrt s?
-96*s - 114
Suppose 4*j = 2*v + 2*v - 28, -v + 3 = 3*j. Find the third derivative of 11*p**v + 3*p**3 + p**2 - 4*p**2 - 3*p**3 wrt p.
1320*p**3
Let i(b) = 7*b**3 - 6*b**2 - 17*b - 6. Suppose -5*s + 9*s - 24 = 0. Let w(h) = h**2 + h + 1. Let l(z) = s*w(z) + i(z). Find the second derivative of l(n) wrt n.
42*n
Let t = 12 + -9. Suppose -15 = -5*h + v, t*v + 10 = -h - 3. Differentiate -4 + 2 - 6 + h + p**4 with respect to p.
4*p**3
Let n be 1 + 0 - (5 - 6). Suppose -7*b = -n*b - 60. What is the first derivative of 4*z - b*z**4 - 3*z - 9 - z wrt z?
-48*z**3
Let v(z) be the third derivative of -151*z**7/210 - z**5/15 + 25*z**3/6 + 130*z**2. What is the third derivative of v(o) wrt o?
-3624*o
Let h(x) be the first derivative of -342*x**5/5 + 53*x**3/3 + 3*x + 55. What is the third derivative of h(n) wrt n?
-8208*n
Let v(b) = -3*b**2 + 106. Let p(u) = u**2 - u + 1. Let y(k) = 2*p(k) - v(k). What is the derivative of y(t) wrt t?
10*t - 2
Let m(i) = 73*i**2 + 8*i + 251. Let l(n) = -147*n**2 - 18*n - 500. Let q(h) = -4*l(h) - 9*m(h). Differentiate q(z) wrt z.
-138*z
Let j be (-3)/(((-2)/(-12))/(96/(-108))). What is the derivative of 15 - j - 23 + 4*n - n wrt n?
3
Let j(t) = -33*t + 47. Let z(x) = 11*x - 16. Let a be (40/(-50))/(-1 - (-13)/15). Let g(w) = a*j(w) + 17*z(w). What is the derivative of g(v) wrt v?
-11
What is the second derivative of 180*l - 125*l - 125*l + 16*l**2 - l**4 wrt l?
-12*l**2 + 32
Let v(a) be the third derivative of -6/35*a*