7*a**3 - 39*a**4 with respect to a.
-156*a**3 - 12*a**2
Let j(x) = -41*x**3 - 8*x - 533. Let q(l) = -14*l**3 - 3*l - 178. Let k(m) = -3*j(m) + 8*q(m). Differentiate k(s) wrt s.
33*s**2
Find the second derivative of 38*k**2 + 16*k**3 + 162*k + 297*k - 10*k**3 - 98*k**2 wrt k.
36*k - 120
Suppose -19*f + 8 = -15*f. What is the derivative of -16 - 23*x**f + 4 + 36*x**2 wrt x?
26*x
Find the second derivative of 394*l**2 - 104*l - 9 + 11 + 78*l**2 wrt l.
944
Suppose 5*s - 49 = -4*t, 5*t + s - 25 = 2*s. Suppose -3 = a - t. Find the third derivative of 8*q**a + q**2 + 3*q**4 - 8*q**3 wrt q.
72*q
Let y be (0 - -5) + (-1 - -3). What is the derivative of -800 + 854 + y*a**4 + 2*a**4 - 2*a**3 wrt a?
36*a**3 - 6*a**2
Let q be (64/80)/((-2)/(-5)). What is the third derivative of -39*s**3 + 6*s**3 - 27*s**q - 7*s**3 + 4*s**2 wrt s?
-240
Let o = -18 - -57. Find the third derivative of 23*u**3 - o*u**3 + 16*u**3 + 12*u**4 + 15*u**2 wrt u.
288*u
Let d = 13 + -7. Let y(c) = -1. Let z(r) = 9*r**2 + 3*r - 3. Let a(q) = d*y(q) - 2*z(q). What is the second derivative of a(j) wrt j?
-36
Let f(x) be the second derivative of 21*x**5/4 + 327*x**2/2 - x - 126. Find the first derivative of f(b) wrt b.
315*b**2
Let a be (-4 + 0)/(1/1). Let b be (-13)/(3 + (-8 - a)). What is the second derivative of -2*t + 3*t**3 - b*t**3 + 2*t**3 + 7*t**3 wrt t?
-6*t
Suppose -9*d = -5*d - 144. Suppose 0 = -4*y + d - 8. Differentiate 0 + 4 - 12*g**2 + y*g**2 wrt g.
-10*g
Suppose 11*n - n - 60 = 0. Differentiate 27 + 1 - n*b**2 + 26*b**2 with respect to b.
40*b
Suppose 3*o - 3*q - 5 = 2*o, -q - 3 = -o. What is the third derivative of o*n**3 - 7*n**2 - 15*n**6 - 2*n**3 - n**6 wrt n?
-1920*n**3
Let p(r) = -r**3 + 5*r**2 + 5*r + 7. Let l be p(6). Let s(h) = 3*h + 2. Let u be s(l). What is the second derivative of b**3 + 5*b**4 - b**3 - 10*b + u*b wrt b?
60*b**2
Let r(z) be the second derivative of 0*z**2 - 9/4*z**4 + 0*z**3 + 2/15*z**6 + 0 + 10*z + 0*z**5. Find the third derivative of r(n) wrt n.
96*n
Let z(m) be the second derivative of 0*m**4 + 0*m**3 + 7*m**2 + 13*m + 0 + 1/20*m**5. What is the derivative of z(o) wrt o?
3*o**2
Let o(u) = 5*u**3 + 7*u**2 - 4*u + 155. Let z(q) = 4*q**3 + 7*q**2 - 5*q + 157. Let d(f) = -5*o(f) + 4*z(f). Differentiate d(i) wrt i.
-27*i**2 - 14*i
Suppose -4*j = 4*j + 2*j. Let m(k) be the second derivative of -1/12*k**4 + j*k**2 - 3*k + 0*k**3 + 0 + 1/4*k**5. Find the third derivative of m(s) wrt s.
30
Let z(i) be the first derivative of 52*i**7/7 - 23*i**3 + 3*i**2/2 - 182. Find the third derivative of z(s) wrt s.
6240*s**3
Differentiate 3*s**3 - 3*s**3 - 19 + 554*s**4 - 645*s**4 wrt s.
-364*s**3
Let c(w) = 11*w - 38. Let u be -2*5/10*2. Let z(k) = 46*k - 153. Let h(f) = u*z(f) + 9*c(f). Differentiate h(p) with respect to p.
7
What is the second derivative of -104*z**3 + 46*z**5 - 36*z + 104*z**3 + 124*z wrt z?
920*z**3
What is the third derivative of 1994*w**3 + 2*w**2 + 0*w - 3*w - 2076*w**3 wrt w?
-492
Let x(d) be the first derivative of -13*d**7/420 + d**4/3 - 32*d**3/3 + 38. Let k(g) be the third derivative of x(g). Differentiate k(v) wrt v.
-78*v**2
Let m(k) be the first derivative of -17*k**4/4 + 8*k**2 + 56. What is the second derivative of m(b) wrt b?
-102*b
Differentiate -5 + 5 - 68*p - 83 wrt p.
-68
Let v be 5/(-5)*6*(-4)/8. Let i(o) be the second derivative of 0*o**2 + 1/2*o**v + 0*o**4 + 3*o + 0 + 1/5*o**5. What is the second derivative of i(d) wrt d?
24*d
Let j(g) = 6*g - 9. Let a be j(2). What is the second derivative of f + 2*f**a + 2*f**3 - 3*f - 2*f**3 wrt f?
12*f
Suppose -7*m + 7 + 21 = 0. Suppose 4*x = 5*u - 24, m = -u + 3*x - 0*x. What is the first derivative of -3 + 11 - 3*v - u*v wrt v?
-11
Let a(b) be the second derivative of -b**6/30 + 117*b**5/20 + 13*b**4/2 - b**2 + 201*b. What is the third derivative of a(w) wrt w?
-24*w + 702
Find the second derivative of 0*c**2 + 14013*c + 273*c**3 + 2 - 14332*c + 0*c**2 wrt c.
1638*c
Suppose -2*f = -6*f + 12. Suppose -4*p + 5 = -f. Find the second derivative of 3*n**p - 5*n**2 - 6*n**2 + 2*n + 3*n**2 wrt n.
-10
Let x(s) be the third derivative of -s**9/15120 - s**6/72 + 3*s**5/20 - 6*s**2. Let g(h) be the third derivative of x(h). Differentiate g(a) wrt a.
-12*a**2
Let a(x) be the third derivative of -x**7/35 - x**6/60 - 7*x**5/30 - 52*x**2 + 2*x. What is the third derivative of a(z) wrt z?
-144*z - 12
Let j(o) be the third derivative of 0*o**5 + 2/21*o**7 + 20*o**2 + 0*o**4 - 11/3*o**3 + 0*o**6 + 0*o + 0. Differentiate j(v) with respect to v.
80*v**3
Let i(v) be the third derivative of v**8/112 + 11*v**7/70 + 157*v**5/60 + 2*v**2. Find the third derivative of i(l) wrt l.
180*l**2 + 792*l
What is the second derivative of 4*c**4 + 11*c**5 + 6*c**2 + 144*c + 16*c**4 - 7*c**2 + c**2 wrt c?
220*c**3 + 240*c**2
Suppose -5*k = 106 - 6. Let s be ((-8)/(-5))/((-4)/k). Find the first derivative of -s*n**2 + 8 + 0*n**2 + 5*n**4 + 8*n**2 wrt n.
20*n**3
Let o(t) = -4*t**3 - 2*t**2 - t. Let k be o(-1). Let c = -127 + 164. Find the third derivative of 13*j**3 + 47*j**2 - k*j**3 - c*j**2 wrt j.
60
Find the third derivative of -116*i**4 - 17*i**2 + 627*i - 318*i - 312*i wrt i.
-2784*i
Let z(c) be the third derivative of 5*c**7/21 + 97*c**3/6 + 2*c**2 - 35*c. Find the first derivative of z(y) wrt y.
200*y**3
Let l(u) be the first derivative of 0*u + 7/2*u**2 + 0*u**4 + 5/3*u**6 + 0*u**5 + 0*u**3 + 2. Find the second derivative of l(h) wrt h.
200*h**3
Let u(n) be the first derivative of 35*n**6/3 - 33*n**3 - 40. Find the third derivative of u(t) wrt t.
4200*t**2
Let p = -215 - -215. Let n(w) be the second derivative of 0*w**2 + 1/12*w**4 + 4*w + w**3 + p. What is the second derivative of n(d) wrt d?
2
Let c(k) be the first derivative of 5/3*k**3 + 4*k - 1 + 0*k**2. What is the first derivative of c(y) wrt y?
10*y
Suppose 10 + 5 = 3*q. Let k be 0 + 1*(-2 + q). What is the first derivative of -3 + 8 - k*w + 3*w - 4*w**3 wrt w?
-12*w**2
Let p(s) = -s**5 - s**4 - s**3 + s. Let g(a) = 4*a**5 + 23*a**4 + a**3 + 31*a. Let c(l) = -g(l) - p(l). What is the second derivative of c(j) wrt j?
-60*j**3 - 264*j**2
Let x(c) be the third derivative of 0 + 0*c**6 + 26*c**2 + 3/56*c**8 + 0*c - 1/12*c**4 + 0*c**5 + 0*c**7 + 0*c**3. What is the second derivative of x(a) wrt a?
360*a**3
Let i = 153 + -150. Let o(y) be the second derivative of 0*y**4 + 8*y + 0 - 3/10*y**5 + 7/2*y**2 + 0*y**i. What is the first derivative of o(u) wrt u?
-18*u**2
Suppose 1 = d - 2. Let t be d - (2 - 3 - 2). Find the third derivative of 0*p**6 + t*p**2 + 3*p**6 + p**6 + p**2 wrt p.
480*p**3
Let j(d) = 237*d**3 - 5*d**2 - 327. Let n(z) = 119*z**3 - 2*z**2 - 163. Let c(t) = -2*j(t) + 5*n(t). Differentiate c(p) wrt p.
363*p**2
Let d(c) be the first derivative of -3*c**7/35 + 17*c**3/3 + 13*c**2 + 15. Let s(v) be the second derivative of d(v). Find the first derivative of s(y) wrt y.
-72*y**3
Let s(r) = 4*r + 10. Let m(w) = w**2 - 34*w + 68. Let u be m(32). Let o(p) = -1 + 1 + 1. Let t(a) = u*o(a) - s(a). Find the first derivative of t(q) wrt q.
-4
Let c(q) = -4*q**4 - 5*q**3 - 38*q**2 - 5*q + 236. Let a(z) = 2*z**4 - z**3 - 3*z**2 - z - 1. Let j(t) = 5*a(t) - c(t). Find the first derivative of j(i) wrt i.
56*i**3 + 46*i
Let z(f) be the first derivative of f**4 - f**4 - 5*f**4 - 44 + 30 - 4*f**2. Find the second derivative of z(i) wrt i.
-120*i
Let z(i) be the second derivative of 0*i**4 - 4/3*i**6 - 13/2*i**3 + 0*i**5 + 0 + 0*i**2 + 15*i. Find the second derivative of z(g) wrt g.
-480*g**2
Let w(v) be the second derivative of -v**6/2 - v**5/5 + 343*v**3/6 + 18*v - 1. What is the second derivative of w(r) wrt r?
-180*r**2 - 24*r
Let m(w) = -32*w**4 + 14*w**3 - 7*w + 5. Let c(z) = 28*z**4 - 12*z**3 + 7*z - 4. Let s(p) = -6*c(p) - 5*m(p). What is the second derivative of s(i) wrt i?
-96*i**2 + 12*i
Let p(u) be the second derivative of -26*u**7/21 + u**4/4 - u**3/3 - u**2/2 - 340*u. What is the second derivative of p(l) wrt l?
-1040*l**3 + 6
Let g be (-1 - -11)/(3 + -1). Suppose -g + 4 = -q. What is the third derivative of -q + 1 + 0 + u**2 + 2*u**3 wrt u?
12
Let m = -21 - -37. Let y = m - 13. Let s(i) = -5*i - 12. Let b(q) = 1. Let k(h) = y*b(h) + s(h). Differentiate k(p) wrt p.
-5
Let m(s) = s**3 + 3*s**2 - 2*s - 4. Suppose -3*g = 3*g + 18. Let o be m(g). Wha