 d. What is the third derivative of r*h + 5*h**6 - 4*h - 6*h**2 wrt h?
600*h**3
Let n(c) = -c**5 - 2*c + 1. Let i(z) = 14*z**5 + 2*z**3 + 28*z - 4. Let p(y) = i(y) + 3*n(y). Find the second derivative of p(k) wrt k.
220*k**3 + 12*k
Let u(s) = -22*s**3 - 7*s**2 + 31*s - 516. Let g(n) = -7*n**3 - 2*n**2 + 10*n - 171. Let c(f) = -7*g(f) + 2*u(f). What is the first derivative of c(a) wrt a?
15*a**2 - 8
Suppose 68 = 3*m + 62. Let w(c) be the second derivative of 0 - 5*c + 2*c**m - 1/6*c**3. Differentiate w(p) with respect to p.
-1
Let j(v) be the third derivative of 221*v**7/210 + 19*v**4/24 - 3*v**3/2 + 705*v**2. What is the second derivative of j(p) wrt p?
2652*p**2
Let a(z) be the first derivative of -9 - 8*z + 9/2*z**2. Differentiate a(f) wrt f.
9
Let m(w) be the first derivative of -57*w**4/4 + 503*w**3/3 + 853. What is the third derivative of m(g) wrt g?
-342
Let w(q) be the third derivative of -19*q**9/36 - 9*q**5/10 - 5*q**3/6 + 214*q**2. Find the third derivative of w(z) wrt z.
-31920*z**3
Let t(d) = 2. Let x(q) = 5*q**2 + q + 88. Let p(g) = -5*t(g) + x(g). Differentiate p(j) with respect to j.
10*j + 1
Let s be (-3 - -4)/((33/6)/11). Let j(b) = -32*b + 5. Let k(x) = 33*x - 5. Let w(r) = s*k(r) + 3*j(r). What is the first derivative of w(d) wrt d?
-30
Let h(z) = -7*z - 10. Let r be h(-7). Let t = r + -15. What is the third derivative of 14*b**5 - 47*b - 8*b**2 + t*b + 23*b wrt b?
840*b**2
Let c(s) be the third derivative of 0*s**4 + 19*s**2 + 0*s - 9/40*s**6 + 0 + 8/3*s**3 + 0*s**5. Differentiate c(w) wrt w.
-81*w**2
Suppose 16 = -6*h + 3*h + 4*y, h - 8 = -2*y. What is the derivative of 96 - 84 + h*d - 23*d wrt d?
-23
Let m(u) be the second derivative of -1/3*u**6 + 8*u + 0*u**2 + 0*u**5 + 1/42*u**7 + 0*u**4 + 1 - 2*u**3. Find the second derivative of m(z) wrt z.
20*z**3 - 120*z**2
Suppose -2*v + 86 = 3*x, -3*v = -4*x - 6*v + 114. Find the second derivative of 4*b - x*b**3 + 2*b - 6*b - 15*b wrt b.
-180*b
What is the first derivative of 882*a - 84 - 882*a + 37*a**3 - 2*a**2 wrt a?
111*a**2 - 4*a
Let v(j) = j**3 - j**2 - 8*j. Let x(o) = -187*o**3 + 525*o**2 + 24*o. Let a(w) = -3*v(w) - x(w). What is the third derivative of a(r) wrt r?
1104
Let m(p) be the second derivative of p**6/15 + 25*p**5/4 + 67*p**4/6 - p**2/2 + p + 100. Find the third derivative of m(q) wrt q.
48*q + 750
Let c = 18 + -13. What is the third derivative of -a**2 + c*a**4 + a**4 - 6*a**4 - 2*a**4 wrt a?
-48*a
Let g(a) be the first derivative of -14 + 0*a**2 - 3/2*a**6 + 0*a**5 - 7/3*a**3 + 0*a**4 + 0*a. What is the third derivative of g(o) wrt o?
-540*o**2
Let i be (56/3)/(-4)*3. Let j be 3*4/(-42)*i. What is the second derivative of -m**j - 8*m + 7*m + 3*m**4 wrt m?
24*m**2
Let o(z) be the second derivative of 97*z**5/20 + z**3/3 - 9*z**2 - 113*z. What is the second derivative of o(v) wrt v?
582*v
Let z(j) be the third derivative of -j**9/504 - 19*j**7/70 + j**5/20 - 71*j**4/24 - 2*j**2 - 72. What is the third derivative of z(i) wrt i?
-120*i**3 - 1368*i
Let o(x) = x**3 + 6*x**2 - 3*x - 14. Let z be o(-6). Suppose 9 = z*a - a. Find the second derivative of -7*y**3 - y**a - 6*y - y - 3*y wrt y.
-48*y
Let a(z) be the first derivative of 9*z**8/112 + 2*z**5/5 - 14*z**2 + 2. Let t(h) be the second derivative of a(h). Find the third derivative of t(y) wrt y.
1620*y**2
Let h(k) = 2*k**3. Let l(y) = 746*y**3 - 2*y**2 + 134*y. Let g(n) = 10*h(n) + l(n). Find the third derivative of g(s) wrt s.
4596
Let o(v) = 7*v + 1. Let h be o(-1). Let i = h - -8. Differentiate -i + 6 - 6*u - 3 - 5 wrt u.
-6
Let x = 40 - 31. Differentiate 5 - f + x + 10 - 7 wrt f.
-1
Let l(z) be the second derivative of 31*z**5/20 + z**4/6 + 6*z**2 + 16*z - 6. Find the first derivative of l(w) wrt w.
93*w**2 + 4*w
Let m(w) = 8*w**3 - 99*w**2 + 24*w - 179. Let q(g) = 23*g**3 - 298*g**2 + 66*g - 535. Let y(d) = -11*m(d) + 4*q(d). Find the first derivative of y(p) wrt p.
12*p**2 - 206*p
Let a(f) = 5*f**2 + 2*f + 1. Let m be a(-1). Suppose 4*v - 10 = 2*v. Find the second derivative of 4*k**4 + 3*k**v - 4*k + 0*k**5 - m*k**4 wrt k.
60*k**3
Let j = 42 - 40. Find the third derivative of -t**2 + 4*t**j + 4*t**2 + 4*t**3 + 0*t**3 wrt t.
24
Let q(k) be the third derivative of 0 - 2/35*k**7 + 0*k**5 + 0*k + 0*k**4 + 2/3*k**3 + 0*k**6 + 8*k**2. What is the first derivative of q(n) wrt n?
-48*n**3
Let x be 2 - (-1 - -1)/(-3 - -1). Find the third derivative of -z**x - 5*z**4 + 3*z**4 - 2*z**4 - 12*z**4 wrt z.
-384*z
Let f(r) = -107*r**4 + 6*r**3 - 12*r + 180. Let q(p) = -108*p**4 + 5*p**3 - 10*p + 179. Let h(s) = -5*f(s) + 6*q(s). Find the first derivative of h(m) wrt m.
-452*m**3
Let z(r) = -15*r**4 - 13*r**3 + 78*r**2 - 17. Let m(j) = -5*j**4 - 4*j**3 + 26*j**2 - 6. Let a(n) = 17*m(n) - 6*z(n). Find the third derivative of a(t) wrt t.
120*t + 60
Let o(x) be the first derivative of -x**8/280 + x**5/60 - 14*x**3/3 - 1. Let i(j) be the third derivative of o(j). Find the second derivative of i(v) wrt v.
-72*v**2
Suppose -2*l + 3 - 1 = 0. Suppose 0 = -2*q + 3 + l. Find the second derivative of -21 - q*v + 4*v**4 + 8 + 13 wrt v.
48*v**2
Let z(k) be the first derivative of 67*k**4/4 - 64*k**3/3 - 8. What is the third derivative of z(y) wrt y?
402
Let i(z) = 352*z**4 + 16*z**2 + 8*z + 61. Let v(k) = -235*k**4 - 10*k**2 - 5*k - 41. Let y(n) = 5*i(n) + 8*v(n). Differentiate y(w) wrt w.
-480*w**3
Let w(s) be the first derivative of 0*s**3 - 9/4*s**4 - 2 - 5/2*s**2 + 0*s. What is the second derivative of w(t) wrt t?
-54*t
Differentiate -154 + 8*d**2 + 3*d + 73 + 77 with respect to d.
16*d + 3
Let y(q) be the second derivative of 3*q**8/56 + 8*q**6/15 + 19*q**4/12 - 9*q**2/2 - 545*q. Find the third derivative of y(b) wrt b.
360*b**3 + 384*b
Suppose 0 = 3*y - 6 - 6. Let t be (-264)/(-5) + y/20. What is the second derivative of k - 52*k**4 + t*k**4 + 5*k wrt k?
12*k**2
Let o be 1/(-2) + (-10)/(-4). Find the third derivative of -45*r**3 - 19*r**5 - r**o + 45*r**3 wrt r.
-1140*r**2
Let v(f) be the third derivative of 37*f**4/12 + 5*f**3/6 - 45*f**2. What is the first derivative of v(n) wrt n?
74
Suppose -2*w + 6 = 2. What is the derivative of -6*s**2 + 24 + s**w + 6 - 2*s**2 wrt s?
-14*s
Let a(j) be the second derivative of -3/2*j**2 + 38*j + 0 + 8/5*j**5 + 0*j**4 + 0*j**3. What is the derivative of a(y) wrt y?
96*y**2
Let b(k) be the first derivative of 5*k**7/168 + k**5/6 - 8*k**3 + 1. Let q(i) be the third derivative of b(i). Find the second derivative of q(j) wrt j.
150*j
What is the second derivative of 6*u**2 + 26*u**3 - 49*u**3 + 116*u + 28*u**3 + 6*u**2 wrt u?
30*u + 24
Let l(v) be the first derivative of 13*v**5/20 + 4*v**2 - 8*v + 8. Let w(j) be the first derivative of l(j). Differentiate w(s) wrt s.
39*s**2
Suppose 22 = 5*j - 8. Let r(h) = -11*h**3 - 6*h**2 - 2. Suppose -8 = 5*a - 3. Let k(z) = -z**3 - z**2 - 1. Let i(w) = a*r(w) + j*k(w). Differentiate i(n) wrt n.
15*n**2
Suppose 0*p + p - 2 = 0. Find the third derivative of -114*g**6 - p*g**5 + 2*g**5 + 116*g**6 + 14*g**2 wrt g.
240*g**3
Let f = 22 - 18. Find the second derivative of 30*p + 18*p**4 + 8*p**4 - 6*p**f - 6*p wrt p.
240*p**2
Find the first derivative of 74 + 204 + 12 + 58*a + 59 - 2*a**2 - 7*a wrt a.
-4*a + 51
Let h(w) = -63*w**4 + 62*w**2 - 2. Let d(p) = -p**2. Let n(l) = 3*d(l) + h(l). What is the third derivative of n(f) wrt f?
-1512*f
Let f(i) = -i - 1. Let b be f(-4). What is the derivative of -7*g**3 - 4*g**b - 23 - 2*g**3 wrt g?
-39*g**2
Let g(b) be the third derivative of -13*b**7/210 - b**5/60 + b**4/12 - 5*b**3/6 + 72*b**2. Find the second derivative of g(h) wrt h.
-156*h**2 - 2
Suppose 2 + 22 = 8*d. What is the second derivative of 6*y**2 + 11*y**2 - 17*y**2 - 28*y**d + 27*y wrt y?
-168*y
Suppose -2*k + 5*o + 16 = 2*o, -o = -2. Let x be 8/84 - (-328)/84. What is the second derivative of 22*y**x - y - k*y**4 - 18*y**4 wrt y?
-84*y**2
What is the third derivative of -10*d**4 + 3*d**3 + 0*d**4 + 0*d**3 + 18*d**4 - d**2 + 21*d wrt d?
192*d + 18
Let b(d) = 6*d**4 + 2*d**3 + 3*d**2 - 813*d. Let h(r) = 5*r**4 + r**3 + 4*r**2 - 815*r. Let x(m) = 4*b(m) - 3*h(m). Find the second derivative of x(i) wrt i.
108*i**2 + 30*i
Let p = 29 - 25. Differentiate p*m + 20 - 4*m - 2*m with respect to m.
-2
Let v be 36/9 - (-1 + 8). Let q be 5*(18/(-15))/v. Find the sec