*n**2 + 11*n**2 + 6*n**3 wrt n?
36*n + 8
Let g(q) be the first derivative of 61*q**4/4 - 532*q - 171. What is the first derivative of g(m) wrt m?
183*m**2
Suppose -4*t = 4*o - 28, -7 - 9 = -3*t + 2*o. What is the first derivative of 11*p**4 + t*p**4 - 9 + 3 wrt p?
68*p**3
Suppose -t + 2*t = -5. Let g(z) = -32*z**2 - 34. Let j(o) = -32*o**2 - 35. Let x(l) = t*j(l) + 6*g(l). What is the first derivative of x(c) wrt c?
-64*c
Let c = -66 - -1321/20. Let x(t) be the third derivative of 0*t**3 + 5*t**2 - c*t**5 + 0*t + 1/24*t**4 + 0. What is the second derivative of x(i) wrt i?
-6
Let z(x) = -5*x**4 + 17*x**3 + 116. Let d(p) be the first derivative of 2*p**5/5 - 3*p**4/2 - 39*p - 3. Let a(g) = -17*d(g) - 6*z(g). Differentiate a(r) wrt r.
-16*r**3
Let h(b) = b**3 + b**2 + 1. Let a(x) = -333*x**5 + x**3 + 96*x**2 - 1. Let q(s) = a(s) + h(s). Find the third derivative of q(m) wrt m.
-19980*m**2 + 12
Let l = 9 + -6. Let n be (-6216)/(-333) - (-2)/6. Find the first derivative of 3*d**l - 3 + 19*d - n*d - 6 wrt d.
9*d**2
Let g be (20/2)/(-19 + 21). Let b be 15 + -1 + -1 + 1. What is the third derivative of g*h**6 + 9*h**2 + b*h**6 - 29*h**6 + 15*h**6 wrt h?
600*h**3
Let p(z) = 2*z + 4. Let u be p(12). Differentiate 11*r**3 - 52*r**3 + u*r**3 + 5 with respect to r.
-39*r**2
Let j(w) be the first derivative of -199*w**6/6 + 44*w**2 + w + 64. What is the second derivative of j(y) wrt y?
-3980*y**3
Let n(b) = 310*b - 290. Let c(p) = -62*p + 58. Let z(y) = -14*c(y) - 3*n(y). What is the first derivative of z(d) wrt d?
-62
Let f(j) = j**3 - 11*j**2 - 13*j + 18. Let k be f(12). Find the second derivative of -n + 34*n - 7*n - k*n**3 + n**3 wrt n.
-30*n
Find the third derivative of -639*k**5 - 123*k**2 + 635*k**5 - 230*k**2 + 38*k**6 wrt k.
4560*k**3 - 240*k**2
Let z(k) be the first derivative of 31*k**6/6 - 286*k**3/3 + 119. Find the third derivative of z(w) wrt w.
1860*w**2
Differentiate 12 - 98*w**3 + 20 + 278*w**3 + 230*w**3 wrt w.
1230*w**2
Let l(y) = -y**3 - 8*y**2 - y + 2. Let k be l(-8). Let o = 16 - k. What is the second derivative of -2*r**4 - r**4 + 3*r**4 - 2*r - o*r**4 wrt r?
-72*r**2
What is the second derivative of 0*n**3 - 2*n**3 + 93*n**5 + n + 104 - 46 - 77*n**5 wrt n?
320*n**3 - 12*n
Suppose t = -0*t + 4. Let c = -5 + 9. Find the third derivative of p**2 - 3*p**t + 0*p**2 + c*p**4 + 0*p**2 wrt p.
24*p
Suppose 12 = -8*s + 12*s. Differentiate -9*c**s + 14*c**3 - 7*c**3 + 29*c**3 - 18 wrt c.
81*c**2
Let t(a) = -a**3 + 12*a**2 + 28*a + 3. Let b be t(14). Find the second derivative of 42 + 2626*v**b - 2*v - 2626*v**3 - 44*v**4 wrt v.
-528*v**2
Let b(g) = 13*g**3 + 6*g**2 - 10*g - 678. Let d(o) = 8*o**3 + 3*o**2 - 6*o - 339. Let v(q) = -3*b(q) + 5*d(q). Find the first derivative of v(a) wrt a.
3*a**2 - 6*a
Let o(l) be the first derivative of -3*l**8/14 - l**4/4 + 6*l + 2. Let h(q) be the first derivative of o(q). Find the third derivative of h(n) wrt n.
-1440*n**3
Let h = -24 + 20. Let o(q) = q**2 + 3*q + 5. Let w be o(h). Find the third derivative of -w*x**6 - 314*x + 314*x + 5*x**2 wrt x.
-1080*x**3
Let m(h) = 5*h**2 - h. Let x(n) = 205*n**2 + 282*n. Let c(u) = 3*m(u) - x(u). Find the second derivative of c(v) wrt v.
-380
Let v(b) be the second derivative of -97*b**6/30 - b**5/20 + 14*b**3 + 475*b. What is the second derivative of v(y) wrt y?
-1164*y**2 - 6*y
Let k(o) be the third derivative of -o**9/1080 - o**5/40 - o**4/2 + 8*o**2. Let l(g) be the second derivative of k(g). Differentiate l(v) with respect to v.
-56*v**3
Let r(b) = 21*b**3 + 31*b**2. Let m(k) = 16*k**2 + 7*k + 11*k**3 - 7*k. Let t(a) = -5*m(a) + 3*r(a). What is the third derivative of t(s) wrt s?
48
Let d = -24 + 42. Find the second derivative of -2 - 12*h - d*h + 2 - 4*h**4 wrt h.
-48*h**2
Let l(m) be the third derivative of -37*m**4/8 + 79*m**3/6 - 25*m**2. What is the derivative of l(t) wrt t?
-111
Let s(d) = 4*d**3 + 6*d**2 + 6*d + 8. Let u(c) = -5*c**3 - 5*c**2 - 5*c - 7. Let i(f) = -5*s(f) - 6*u(f). What is the derivative of i(l) wrt l?
30*l**2
Let o(q) = 52*q**5 - 4*q**4 - 281*q**2 + 4*q. Let a(n) = -n**5 - n**4 + n. Let i(c) = -4*a(c) + o(c). Find the third derivative of i(w) wrt w.
3360*w**2
Let q(n) be the third derivative of -n**10/8400 + n**6/180 + 4*n**5/15 - 12*n**2. Let y(s) be the third derivative of q(s). Differentiate y(k) wrt k.
-72*k**3
Let m(q) be the second derivative of 0 + 0*q**5 - 3/5*q**6 + 0*q**3 + 16*q - 11/12*q**4 + 0*q**2. What is the third derivative of m(t) wrt t?
-432*t
Suppose -4*w - 19 + 3 = 0. Let t(c) = -3*c - 2. Let y(p) = -p. Let s(j) = w*y(j) + t(j). What is the derivative of s(r) wrt r?
1
Let j(m) = 24*m**3 - 11*m**2 - 53. Let t(h) = -24*h**3 + 9*h**2 + 53. Let y(z) = 4*j(z) + 5*t(z). Find the first derivative of y(w) wrt w.
-72*w**2 + 2*w
Let d(k) be the first derivative of 629*k**3/3 - k**2/2 - 22*k + 629. Find the second derivative of d(a) wrt a.
1258
Let i(b) be the third derivative of -95*b**9/504 + 37*b**5/20 + 10*b**2 - 7. What is the third derivative of i(q) wrt q?
-11400*q**3
Let i(m) be the first derivative of -4*m**5 - m**4/4 + 16*m**3/3 + 46. Find the third derivative of i(y) wrt y.
-480*y - 6
Let c(y) = 53*y**3 + 97*y**2 - 6*y + 3. Let k(d) = d**3 + 2*d - 1. Let p(z) = -c(z) - 3*k(z). Find the third derivative of p(a) wrt a.
-336
Let a be (14/(-77) + 7/(-22))*-6. Let z(q) be the first derivative of -4 - 4/3*q**a + 0*q + 2*q**2. What is the second derivative of z(w) wrt w?
-8
Find the second derivative of 2 + 38*r**3 + 8*r - 16*r + 5*r wrt r.
228*r
Let p(l) be the second derivative of l**6/30 + 23*l**5/20 - 169*l**4/12 + l**2 - 278*l. What is the third derivative of p(b) wrt b?
24*b + 138
Let s(q) be the second derivative of 37*q + 0 + 0*q**2 - 5/3*q**4 + 0*q**5 + 0*q**3 + 31/30*q**6. What is the third derivative of s(t) wrt t?
744*t
Let a(i) be the second derivative of 31*i**5/4 - 89*i**3/3 - 203*i. What is the second derivative of a(j) wrt j?
930*j
Suppose 0 = -m - 2*w + 6, -2*w + 3*w = 3*m - 4. Let x(h) = -h - 1. Let s(c) = -2*c - 5. Let r(n) = m*x(n) - 2*s(n). Differentiate r(l) with respect to l.
2
Let q(g) be the third derivative of g**6/60 - g**5/12 - 59*g**3/6 + 6*g**2 - 2*g. Differentiate q(h) wrt h.
6*h**2 - 10*h
Suppose 0 = -2*p - 4*t + 2 + 2, 3*t = -5*p + 17. Let n be (-96)/(-18) - p/(-6). What is the derivative of -4 + 3 + 4*h + 0 + n wrt h?
4
Let n(m) be the first derivative of -m**6/3 + 57*m**4/2 - m**2/2 + 23*m + 160. Find the second derivative of n(c) wrt c.
-40*c**3 + 684*c
Let h(y) = -14*y**3 - y**2. Let l be h(-1). Find the second derivative of -9*b + 54 + l*b**3 - 101 + 47 wrt b.
78*b
Let p(n) = 4*n - 6. Let q be p(2). Find the second derivative of -45*m**2 - 3*m + 3*m + 55*m**q - 5*m wrt m.
20
Let c = 2791/5574 + -2/2787. Let p(v) be the first derivative of -8*v + c*v**4 + 0*v**2 + 0*v**3 - 11. What is the derivative of p(m) wrt m?
6*m**2
Let k(q) be the third derivative of -38*q**7/35 + 85*q**5/6 + 148*q**2 - 1. What is the third derivative of k(d) wrt d?
-5472*d
Let r(s) be the third derivative of 83*s**9/168 - 17*s**5/30 - s**4/24 + 23*s**2 + 4*s. Find the third derivative of r(n) wrt n.
29880*n**3
Let s = 17 + -5. Suppose -2*a + 0 + s = 0. Find the third derivative of -a*w**2 - 11*w + 11*w - 8*w**4 + 5*w**2 wrt w.
-192*w
Let h(q) = -3*q**4 - 78*q**3 + 584*q**2. Let m(n) = 7*n**4 + 157*n**3 - 1169*n**2. Let c(j) = -9*h(j) - 4*m(j). What is the third derivative of c(k) wrt k?
-24*k + 444
Suppose m + 3*m + 3*d - 30 = 0, 4*m - 18 = 3*d. Let a be (8/10)/(m/15). What is the third derivative of -2 - 2*h**5 - h**2 - 3*h**a + 2 wrt h?
-120*h**2
Let o(t) be the first derivative of 19*t**6/30 + 5*t**3/6 + 14*t + 32. Let b(p) be the first derivative of o(p). Find the second derivative of b(g) wrt g.
228*g**2
Let u(v) be the second derivative of 0*v**2 - 9/20*v**5 - 17*v + 0 + 0*v**3 - 1/4*v**4. Find the third derivative of u(q) wrt q.
-54
Suppose -z = 5*w - 8 - 12, 4*w = -3*z + 27. Let r = 23 - z. What is the second derivative of r*m**3 + 2*m - 18*m**3 + 6*m**4 wrt m?
72*m**2
Let z(g) = 19*g**3 + 9*g**2 - 4. Let n = -9 - -11. Let m(p) = p**3 + p**2 - 1. Let h(k) = n*z(k) - 18*m(k). Differentiate h(b) wrt b.
60*b**2
Suppose w + w = 10. What is the first derivative of w*m + 14 - 4*m - 19*m wrt m?
-18
Let y(t) be 