- 24*o
Let k(d) be the second derivative of 7*d**6/30 - 7*d**4/12 + 40*d**2 - 3*d. Find the first derivative of k(z) wrt z.
28*z**3 - 14*z
Let x(s) be the first derivative of 27*s**7/7 + s**4/2 + 20*s**3 - s**2/2 + 131. What is the third derivative of x(d) wrt d?
3240*d**3 + 12
Suppose 11*p - 36 = 5*p. What is the first derivative of -11*w**3 + 18*w**3 + 4*w**3 + p wrt w?
33*w**2
Let s(t) = 47*t**4 - 5*t**2 + 9*t + 68. Let v(u) = 23*u**4 - 2*u**2 + 4*u + 35. Let r(j) = -4*s(j) + 9*v(j). Differentiate r(k) with respect to k.
76*k**3 + 4*k
Suppose 2*t = 0, -5*j = -2*t - 30 - 70. What is the third derivative of 16*z**4 + j*z**2 + 124*z**3 - 124*z**3 wrt z?
384*z
Let r(i) = -15*i + 87. Let b(v) = -13*v + 85. Let k(y) = -5*b(y) + 6*r(y). Find the first derivative of k(c) wrt c.
-25
Find the second derivative of 0*h**2 + 5*h**2 - 23*h - 49*h + 24*h wrt h.
10
What is the third derivative of -6*v**5 - 13*v**4 + 11*v**4 + 14*v - 9*v - 9*v**2 wrt v?
-360*v**2 - 48*v
Let w(r) = 2*r + 7. Suppose -4*i = -2*f - 2 + 14, -9 = 3*f + 3*i. Let l be w(f). What is the first derivative of -9*z**4 + z**4 - 1 + l*z**4 wrt z?
-4*z**3
Let v(i) be the second derivative of 0 + 23*i + 0*i**4 + 0*i**2 + 1/4*i**5 - 1/2*i**3. Find the second derivative of v(g) wrt g.
30*g
Let b(o) be the second derivative of 11*o**5/60 - 37*o**3/6 + 11*o**2/2 + 26*o. Let n(a) be the first derivative of b(a). Differentiate n(d) with respect to d.
22*d
Let t(q) be the second derivative of 1/3*q**3 - 4/3*q**4 + 0 - 9*q + 0*q**2. Find the second derivative of t(o) wrt o.
-32
Let b(l) = 47*l + 11. Let w(k) = -16*k - 4. Let v(x) = 3*b(x) + 8*w(x). What is the first derivative of v(f) wrt f?
13
Suppose -w = 3*w - 8. Suppose w = -2*t + 6. Find the second derivative of 2*u**t - 3*u + u - u**2 wrt u.
2
What is the third derivative of -247*l**2 - 103*l**2 - 98*l**3 + 133*l**3 - 4*l**4 wrt l?
-96*l + 210
Suppose 1 = -m + 3. What is the second derivative of -10*f**2 - 7*f**2 + 2*f**m + 19*f wrt f?
-30
Let a(h) be the second derivative of 167*h**7/14 + 13*h**3 + 634*h. Find the second derivative of a(d) wrt d.
10020*d**3
Let n(h) be the first derivative of h**5/5 + 7*h**4/2 + h**3/3 + 131*h**2/2 + 322. Find the third derivative of n(p) wrt p.
24*p + 84
Let h(s) = s**4 + s**3 + s**2 + s - 1. Let z(q) = -86*q**4 - 3*q**3 - 3*q**2 + 47*q + 3. Let m(t) = 3*h(t) + z(t). What is the second derivative of m(b) wrt b?
-996*b**2
What is the third derivative of -25*h**6 - 3*h**2 - 53*h**6 + 8 - 23 + 1 wrt h?
-9360*h**3
Let h(r) be the second derivative of r**6/72 + 11*r**4/24 - 5*r**3/3 + r. Let q(u) be the second derivative of h(u). Differentiate q(i) with respect to i.
10*i
Let z(i) = -651*i + 105. Let m(g) = 219*g - 35. Let v(r) = 17*m(r) + 6*z(r). What is the first derivative of v(o) wrt o?
-183
What is the first derivative of 264*v**4 + 174 - 13758*v + 13758*v wrt v?
1056*v**3
Let o(q) = 3*q**3 - q**2 + 59*q - 3. Let p(v) = -5*v**3 + 2*v**2 - 89*v + 5. Let i(a) = 7*o(a) + 5*p(a). Find the second derivative of i(s) wrt s.
-24*s + 6
Let i(t) = 2*t**2 - 2*t - 1. Let l be i(2). Let o = l - -1. What is the second derivative of 11*j - 12*j + 3*j + 4*j**o wrt j?
48*j**2
Find the third derivative of 126*y**2 - 11*y + 16*y + 40*y**2 - 7*y - 2*y**2 + 357*y**4 wrt y.
8568*y
Find the second derivative of -73 - 22*l**5 + l - 114*l**5 + 16 wrt l.
-2720*l**3
Let n(y) be the third derivative of 0 - 7/15*y**5 + 0*y**4 + 0*y + 0*y**6 - 12*y**2 + 0*y**3 + 2/21*y**7. What is the third derivative of n(v) wrt v?
480*v
Let i(j) be the first derivative of j + 2*j**2 - 1/4*j**4 + 2 + 0*j**3. Let f(w) be the first derivative of i(w). What is the first derivative of f(b) wrt b?
-6*b
Let x(p) = 120*p**4 - 20*p**3 + 12*p**2 + 10*p - 34. Let k(f) = 40*f**4 - 6*f**3 + 4*f**2 + 3*f - 11. Let l(d) = 10*k(d) - 3*x(d). Differentiate l(o) wrt o.
160*o**3 + 8*o
Let s(w) be the first derivative of 77*w**5/5 - 2*w**3/3 - w + 25. What is the third derivative of s(f) wrt f?
1848*f
Find the second derivative of 2 + 178*b - 2756*b**4 + 2756*b**4 + 10*b**5 - 4*b**3 wrt b.
200*b**3 - 24*b
Suppose -2*s - 6 + 16 = 0. Suppose 3*t + 2*f - 19 = 0, -7*f + 2*f + 35 = s*t. Find the second derivative of t*l**4 + 6*l - 4*l + 8*l + 8*l**4 wrt l.
156*l**2
Let t(b) be the second derivative of -23*b**7/42 + b**5/5 + 199*b**4/12 + 239*b. Find the third derivative of t(d) wrt d.
-1380*d**2 + 24
Let a(x) be the third derivative of -x**9/20160 - x**6/72 + x**5/10 + x**2. Let w(y) be the third derivative of a(y). What is the derivative of w(p) wrt p?
-9*p**2
Let u(s) = s**3 + s**2 - s + 1. Let a(h) = -190*h**3 - h**2 - 27*h - 2. Let m(r) = a(r) + u(r). What is the second derivative of m(x) wrt x?
-1134*x
Suppose 0 - 2 = -i + 2*q, 0 = 2*i - 2*q - 14. What is the second derivative of -48*j - 57*j**3 + i*j + 19*j**3 wrt j?
-228*j
Let t(c) be the first derivative of 11 + 28/3*c**3 + 0*c**2 + 27*c. Differentiate t(s) wrt s.
56*s
Suppose 2*n = 4*m + 3 + 47, 104 = 5*n - 3*m. What is the first derivative of -2 + 0 - n + 6*x wrt x?
6
Let b(s) be the first derivative of s**5/5 + 67*s**3/3 + 2*s**2 + 8*s + 533. Find the second derivative of b(n) wrt n.
12*n**2 + 134
Find the second derivative of w**2 + 6*w**5 - 4 + 7*w - 2*w**5 + 3*w + 5*w + 3*w**5 wrt w.
140*w**3 + 2
Let w(m) be the first derivative of m**5/20 - 2*m**3 - 21*m - 36. Let g(k) be the first derivative of w(k). What is the second derivative of g(d) wrt d?
6*d
Let m(r) be the first derivative of r**5/4 + 2*r**3 - 8*r**2 - 5. Let z(l) be the second derivative of m(l). Find the first derivative of z(h) wrt h.
30*h
Let r(x) be the third derivative of -17/60*x**5 - 17/210*x**7 + 0*x**3 + 0 + 0*x + 0*x**6 + 0*x**4 - 10*x**2. Find the third derivative of r(u) wrt u.
-408*u
Suppose -3*k - 7 - 8 = 0, -3*k = 5*a - 15. Suppose 3*t = -0*t + a. Differentiate o**2 - o**t + 175*o**4 - 10 - 176*o**4 wrt o.
-4*o**3
Find the first derivative of -73*f**4 + 90 - 8 + 129 + 33 - 3*f**2 wrt f.
-292*f**3 - 6*f
Let u(g) be the first derivative of g**8/336 - 11*g**6/360 + g**3 - 10. Let d(s) be the third derivative of u(s). Find the third derivative of d(l) wrt l.
120*l
Let x(d) be the third derivative of -13*d**5/15 + d**3 - 6*d**2 + 2. Differentiate x(r) wrt r.
-104*r
Let p(m) = m. Let k(x) = 66*x - 124. Let s(t) = -k(t) - 2*p(t). Find the first derivative of s(n) wrt n.
-68
Let l(d) = d**2 + d - 2. Let n(u) = 55*u**4 - 2*u**3 - 5*u**2 + 7*u + 2. Let h(q) = 5*l(q) + n(q). Find the second derivative of h(m) wrt m.
660*m**2 - 12*m
Find the second derivative of -48*s**3 - 48*s**3 + 135*s**3 - 5*s**5 - 11*s - 40*s**3 wrt s.
-100*s**3 - 6*s
Find the second derivative of -103*z**4 - 42*z + 211*z**4 - 104*z**4 - 21*z**5 + z**5 wrt z.
-400*z**3 + 48*z**2
What is the second derivative of 2*c**2 + 0*c + 4*c**3 - 4*c**2 + 6*c + 0*c - 13*c**2 + 26 wrt c?
24*c - 30
Let g(r) be the second derivative of -13*r**7/21 - r**6/2 + 407*r**4/12 + 2*r - 225. What is the third derivative of g(m) wrt m?
-1560*m**2 - 360*m
Let v be 13 + (-4)/(-12)*(-1 - -1). Suppose 0 = 4*w + w - 35. Find the second derivative of c - 3*c**4 + w*c - v*c wrt c.
-36*c**2
Let a(w) be the first derivative of 2*w**2 - 4*w**2 - 34*w + 7*w**3 + 34*w - 8. What is the second derivative of a(l) wrt l?
42
Let a(m) be the third derivative of -151*m**7/70 - 253*m**5/30 + 184*m**2. What is the third derivative of a(w) wrt w?
-10872*w
Let r(p) = -87*p**4 - 12*p**2 - 4*p + 3. Let v(l) = -l**2 - l + 1. Let w(y) = -r(y) + 3*v(y). Find the third derivative of w(n) wrt n.
2088*n
Let h(c) be the third derivative of 0*c**3 + 0*c**6 + 0*c**4 - 1/30*c**7 + 0 - 1/12*c**5 + 8*c**2 + 0*c. What is the third derivative of h(s) wrt s?
-168*s
Let j(c) be the first derivative of -2 - 12 - 3*c**2 - 3*c + 6*c**2. What is the derivative of j(z) wrt z?
6
Let n(v) = -240*v + 1667. Let s(h) = 60*h - 417. Let i(x) = -2*n(x) - 9*s(x). What is the derivative of i(t) wrt t?
-60
Let u(z) be the second derivative of -z**8/56 - 27*z**5/10 - 139*z**4/12 - 38*z. Find the third derivative of u(w) wrt w.
-120*w**3 - 324
Let i be 1/(4/(-56)*-1). What is the third derivative of -9*p**4 - 9*p**2 + i*p**4 - p**2 wrt p?
120*p
Suppose 0 = z - 6 - 0. Let n(t) = -517 + 3*t + 2*t**2 + 517. Let h(q) = -q. Let m(g) = z*h(g) + 3*n(g). Find the