346. Let j(u) = 6*u**2 - 59*u + 898. Let i(p) = 8*j(p) + 5*s(p). Find the first derivative of i(n) wrt n.
6*n - 32
Suppose 20 = 5*a + 4*w, -3*w = -2 - 13. Let d(v) = -v**3 + v**2 + v + 1. Let b be d(a). What is the derivative of -4*i**3 - 7 + 3 + 9*i**3 - b wrt i?
15*i**2
What is the third derivative of 34*k**2 + 11*k**3 + 0*k**3 + 106*k**3 wrt k?
702
Find the second derivative of 63*x + x**2 + 64*x**4 - 62*x - x**2 + 180*x wrt x.
768*x**2
Let b(k) be the first derivative of 0*k + 14/3*k**3 + 11/2*k**2 - 11. Find the second derivative of b(d) wrt d.
28
Let d(y) = 50 - 99 - y + y**2 + 50. Let r(k) = 11*k**2 - 5*k - 12. Let s(b) = 5*d(b) - r(b). Differentiate s(j) wrt j.
-12*j
Suppose 3*k + 27 = 3*y, -42 = -5*y + 2*k + 2*k. Suppose -3*s = -2*a - y, -s - 10 = -6*s - a. Differentiate 7*g**3 + 7 - 4*g**3 + s*g**3 wrt g.
15*g**2
Differentiate 0*p**3 - p**4 - 6*p**3 - 22 - 8*p**3 + 9*p**3 wrt p.
-4*p**3 - 15*p**2
Suppose -4*o - 6 = 3*p - 32, o + p = 7. Suppose -h - t = 0, -h - 5*t - 11 - 5 = 0. What is the derivative of -o*k**4 + 9*k**4 + 0 - 7*k**h - 6 wrt k?
-12*k**3
Let p(z) be the first derivative of 2/3*z**3 + 6*z + 0*z**2 + 1/2*z**4 + 0*z**5 + 40 + 7/2*z**6. What is the third derivative of p(h) wrt h?
1260*h**2 + 12
Let z(r) be the third derivative of r**8/336 + r**6/60 + 101*r**4/24 - r**3/3 - 3*r**2 - 1. Find the second derivative of z(c) wrt c.
20*c**3 + 12*c
Let c(a) = -a**2 - 3*a. Let p be c(-3). Find the first derivative of -2*i + p*i + 11 + 0*i - 6 wrt i.
-2
Let t(w) = w + 9. Let q be t(-7). Suppose 3*u = q*u + 5*f + 14, -u + 2 = f. What is the second derivative of -2*n + n + 7*n + 4*n**4 - 2*n**u wrt n?
24*n**2
What is the derivative of -85 - 140 + 15 + 87*g**4 wrt g?
348*g**3
What is the derivative of 10*z**2 + z - 20*z**2 + 32*z**2 - 6 + 7*z**2 wrt z?
58*z + 1
What is the first derivative of 133*k - 102*k**3 - 39*k - 211 - 45*k - 48*k - 22*k**3 wrt k?
-372*k**2 + 1
Let h(q) be the second derivative of 15*q + 41/6*q**3 + 0*q**2 + 0 + 13/12*q**4. What is the second derivative of h(j) wrt j?
26
Let h(q) be the second derivative of -q**9/1260 + q**6/360 - q**4 - 10*q. Let j(w) be the third derivative of h(w). Find the second derivative of j(p) wrt p.
-144*p**2
Let p(h) be the third derivative of -11*h**6/60 + 31*h**4/8 - h**3/3 + 5*h**2 + 9*h. What is the second derivative of p(x) wrt x?
-132*x
Let z(x) be the second derivative of -41*x**8/56 - 77*x**4/12 - x**3/6 + 6*x. Find the third derivative of z(u) wrt u.
-4920*u**3
Suppose 4*w + 44 = 5*b, -b - 5*w + 0*w = -32. Suppose -4*j + 10 = -c, -2 = -2*j - 4*c + b. Find the first derivative of u - 7*u**3 - u + 12*u**j - 3 wrt u.
15*u**2
Suppose l + 3*g = -7, 9*l - 4*l + 2*g - 17 = 0. Differentiate 7 - l - 18*z + 4 + 4 with respect to z.
-18
Let u = 0 + 3. What is the first derivative of 10 - 73*v - 2*v**3 - 6*v**u + 73*v wrt v?
-24*v**2
Let h = 161 + -161. Let u(z) be the first derivative of 4/5*z**5 - 4 + 0*z**2 + 0*z**4 + 5*z + h*z**3. Find the first derivative of u(s) wrt s.
16*s**3
Let t(q) be the second derivative of -7*q**6/15 + q**5/20 + 19*q**4/12 + q**3 - 197*q. What is the third derivative of t(w) wrt w?
-336*w + 6
Let n(r) be the first derivative of 0*r**5 + 11*r**2 + 0*r**3 + 0*r**4 - 19/6*r**6 + 0*r - 27. What is the second derivative of n(y) wrt y?
-380*y**3
What is the second derivative of -25*d**4 - 73*d**4 - 3 + 27*d - 32*d**4 - 184*d**4 + 10*d wrt d?
-3768*d**2
Let b(a) be the first derivative of -5*a**4/4 + a**3/3 - a**2 + 166*a - 12. What is the second derivative of b(u) wrt u?
-30*u + 2
Let n(k) = -7*k**2 - 2*k - 51 + 2*k + 49. Let m(g) be the second derivative of 7*g**4/4 + 3*g**2 - 2*g. Let u(f) = 4*m(f) + 11*n(f). Differentiate u(w) wrt w.
14*w
Suppose 55 = -0*g + 11*g. What is the third derivative of -11*y**2 + 47*y**2 + 7*y**g - 52*y**5 + 3*y**2 wrt y?
-2700*y**2
Let k(j) = -31*j**3 + 2*j + 46. Let b(v) = -402*v**3 + 27*v + 597. Let a = -116 - -114. Let t(o) = a*b(o) + 27*k(o). Find the first derivative of t(w) wrt w.
-99*w**2
Find the second derivative of -33*k**4 + 17*k - 42*k**4 + 1 - 4*k - 10*k wrt k.
-900*k**2
Suppose 0 = 60*w - 65*w + 5. Find the first derivative of -w + 33 - 26*f**3 - 7 wrt f.
-78*f**2
Let v = -12 + 14. Find the second derivative of 35*c**3 - 4*c + 0*c**2 - 37*c**3 + 0*c**v wrt c.
-12*c
Let c(q) be the first derivative of 35 + 0*q**3 - 15/2*q**2 + 0*q + 3/5*q**5 + 0*q**4. What is the second derivative of c(x) wrt x?
36*x**2
Let f(l) = l**2 + 1. Suppose -4 = a - 0. Let i(n) = 2*n**2 + 5. Suppose 0 = -2*c - 2*c + 4. Let h(t) = a*f(t) + c*i(t). Differentiate h(m) with respect to m.
-4*m
Let u(s) = -64*s**2 + 11*s - 15. Let i(g) = -31*g**2 + 5*g - 8. Let f(x) = 7*i(x) - 4*u(x). Find the second derivative of f(n) wrt n.
78
Let b(o) = -164*o**2 + 432*o + 5. Let d(h) = -165*h**2 + 427*h + 4. Let k(w) = -4*b(w) + 5*d(w). Find the second derivative of k(q) wrt q.
-338
Let x = -85 + 94. What is the second derivative of x*c - 2*c**4 + 8*c - 7*c wrt c?
-24*c**2
Let j be (((-2)/(-6))/(15/(-45)))/(-1). Find the second derivative of -2 + 0*f + 4 - 14*f**3 - 2*f + 2*f**2 - j wrt f.
-84*f + 4
Suppose -j = 2*i - 8, 5*i - j - 3*j + 6 = 0. Find the third derivative of -i*a**4 + 16*a**4 - 9*a**4 - 10*a**4 - 11*a**2 wrt a.
-120*a
Let m(c) be the third derivative of -7*c**6/240 + c**5/8 + 19*c**4/24 + 4*c**2. Let p(q) be the second derivative of m(q). Differentiate p(x) with respect to x.
-21
Let f(w) be the third derivative of 30*w**2 + 0*w**6 + 0*w**7 + 0*w + 0*w**3 + 0*w**4 - 41/60*w**5 + 2/21*w**8 + 0. Find the third derivative of f(g) wrt g.
1920*g**2
Let g(m) = m**3 + m**2 - m + 1. Let v(r) = 30*r**3 + 26*r**2 - 8*r + 8. Let p(b) = 24*g(b) - 3*v(b). What is the third derivative of p(y) wrt y?
-396
Let f(j) be the first derivative of -23*j**5 + j**2 - 830*j + 10. What is the first derivative of f(s) wrt s?
-460*s**3 + 2
Suppose 4*w - 38 = 2. Find the second derivative of 6*u**5 - u**5 - 2*u**5 - w*u wrt u.
60*u**3
Let g(s) be the third derivative of 331*s**9/504 - 7*s**5/60 - 11*s**3/3 - 3*s**2 - 30*s. What is the third derivative of g(f) wrt f?
39720*f**3
Let j(t) be the third derivative of t**5/30 - 89*t**4/24 - 71*t**3/3 - t**2 + 61. Find the first derivative of j(f) wrt f.
4*f - 89
Let v(n) be the third derivative of -1/12*n**6 - 11/24*n**4 + 0*n**3 + 0*n + 0 + 0*n**5 + 4*n**2. What is the second derivative of v(j) wrt j?
-60*j
Let w(p) be the first derivative of 0*p + 0*p**3 - 18 + 19/2*p**2 - 27/4*p**4. What is the second derivative of w(h) wrt h?
-162*h
Let z(s) = 128*s**2 - 4*s + 38. Let o(x) = 640*x**2 - 23*x + 191. Let y(w) = -2*o(w) + 11*z(w). What is the second derivative of y(p) wrt p?
256
Let t(x) be the second derivative of 0 + 0*x**4 - 1/5*x**5 + 0*x**2 - 7/2*x**3 - 16*x. What is the second derivative of t(k) wrt k?
-24*k
Let y(l) = 38*l**2 - l - 10. Let d be y(4). What is the third derivative of -7*p**5 + 0*p**2 - d*p**4 + 594*p**4 - 3*p**2 wrt p?
-420*p**2
Let p = -135 + 188. What is the first derivative of -5*c**2 + 2 - p + 7*c**2 + 26*c**2 wrt c?
56*c
Let v = 74 + -53. Find the third derivative of 17*r**5 + 2*r**2 - v*r**3 + 21*r**3 + 5*r**2 wrt r.
1020*r**2
Let o = -37 - -40. What is the second derivative of -6*f - 1 + 3*f**3 - o + 4 wrt f?
18*f
Suppose 7*y = 3*y + 40. Let b be 15/y - 3/(-6). What is the third derivative of 5*i**4 + 2*i**4 - 2*i**b - 3*i**2 + 8*i**2 wrt i?
168*i
Let m(r) = -r + 1. Let y(l) = -5 + 12 - 4*l - 4. Let b(u) = 2*m(u) + 2*y(u). What is the first derivative of b(q) wrt q?
-10
Let p(q) be the second derivative of -q**6/15 - 23*q**4/4 + 148*q**2 + 132*q. Differentiate p(r) wrt r.
-8*r**3 - 138*r
Let w(y) = -y**2 - y + 8. Let d be w(-3). What is the first derivative of -4*x**d + 7*x**2 + 105 - 144 wrt x?
6*x
Let l(u) = -5*u**3 - 228*u**2 - 36. Let j(z) = 12*z**3 + 456*z**2 - 3*z + 73. Let t(c) = 2*j(c) + 5*l(c). What is the second derivative of t(w) wrt w?
-6*w - 456
Let d be (4/(-3))/(-1 - 6/(-9)). What is the third derivative of 3*i**3 - 3*i**3 + 8*i**2 - 8*i**4 + 4*i**d wrt i?
-96*i
Let c(t) be the first derivative of 106*t**5 - 3*t**2/2 + 3*t + 182. What is the second derivative of c(l) wrt l?
6360*l**2
Suppose -5*a + 2*a = -2*u - 1, 5*u - 29 = -3*a. What is the second derivative of -6*r + 0*r + 3*r**a + 2*r*