t
Let z = -15 - -18. Let r = z - 1. Find the first derivative of 3 - 9*x**4 - 3 - r wrt x.
-36*x**3
Let j(v) be the third derivative of 8*v**8/21 + v**5/30 - 91*v**4/4 + 2*v**2 + 131*v. Find the second derivative of j(d) wrt d.
2560*d**3 + 4
Let s(g) = 46*g**4 + 3*g**2 + 5. Let n = 12 - 17. Let m(b) = 23*b**4 + b**2 + 2. Let f(i) = n*m(i) + 2*s(i). What is the third derivative of f(d) wrt d?
-552*d
Let f(a) be the second derivative of -a**9/504 + a**6/60 + 5*a**3/6 + 10*a. Let o(g) be the second derivative of f(g). Find the third derivative of o(s) wrt s.
-360*s**2
Differentiate -67*u**2 - 93*u**2 - 74*u - 35*u**2 + 74*u - 70 with respect to u.
-390*u
Let h = -49 - -109. Suppose -2*i = 3*u - 38, u = -4*i - u + h. Find the second derivative of -1 - 19*g + i*g + 2*g**5 + 1 wrt g.
40*g**3
Let i be (-40)/(-15) - (-1)/3. Suppose 4*h - i - 33 = 0. Differentiate -h + f**3 - 14*f**3 + 4*f**3 wrt f.
-27*f**2
Suppose -2 - 4 = -3*s. Find the first derivative of 2 + 3*t - 2 + s wrt t.
3
Find the second derivative of 5 + 5*n - 128*n**4 - 3*n**4 - 55*n - 3*n**2 + 13*n**4 - 2 wrt n.
-1416*n**2 - 6
Suppose -5*v + 7*v - 306 = 0. Find the third derivative of -7*z**2 + 20*z**6 + v*z**3 - 153*z**3 wrt z.
2400*z**3
Suppose 2*o + q + 9 = 4*q, -q + 8 = o. Find the second derivative of 15*i**2 - o*i**2 + 7*i**2 + 42*i - 35*i**2 wrt i.
-32
Let f(y) = 75*y**2 + 13*y - 2. Let z(w) = -151*w**2 - 28*w + 4. Let t(c) = 7*f(c) + 3*z(c). Find the second derivative of t(d) wrt d.
144
Suppose -2*v = 3*v + 15, -3*r - 3*v = -3. What is the third derivative of -41*y**2 + 13*y**2 + 9*y**2 - y**4 + 2*y**r wrt y?
24*y
Let u(s) be the first derivative of 37/4*s**4 + s**3 - 26 - 2*s + 0*s**2. Find the third derivative of u(t) wrt t.
222
Differentiate 32*r**3 - 3*r**2 + r**3 + 14*r**3 - 3*r**2 + 437 + 3*r**2 wrt r.
141*r**2 - 6*r
What is the second derivative of -2 + 335*r + 197*r**5 - 623*r**5 + 2 + 151*r wrt r?
-8520*r**3
Let n(y) be the second derivative of -8/3*y**3 - 9/2*y**2 + 0 + 3*y. Find the first derivative of n(k) wrt k.
-16
What is the second derivative of -2*m**4 - 3*m**4 + 24*m**4 - 115*m**5 - 3*m - 19*m**4 + 2 wrt m?
-2300*m**3
Let v = 1624 - 1624. Let n(o) be the third derivative of 0*o**3 + 0 + v*o**4 - 7/60*o**5 + 5*o**2 - 1/15*o**6 + 0*o. What is the third derivative of n(t) wrt t?
-48
Let t(n) be the first derivative of 209*n**3/3 + 399*n**2/2 + 7. What is the second derivative of t(p) wrt p?
418
Let d(z) = -227*z**3 - 2*z**2 - 107*z - 5. Let b(q) = 114*q**3 + q**2 + 54*q + 3. Let m(r) = 5*b(r) + 3*d(r). What is the second derivative of m(v) wrt v?
-666*v - 2
Let q(y) = y**2 - 4*y + 2. Let i be q(4). Let t = -163 + 186. What is the third derivative of -4*b**i - t - 3*b**2 + 2*b**5 + 23 wrt b?
120*b**2
Let w(d) = d**3 - 7*d**2 - d + 27. Let g be w(7). Differentiate -g - 9*p - 8*p - 6*p wrt p.
-23
Let z(o) = 8*o**3 - 4*o**2 - 9. Let n = -39 + 20. Let t = n + 23. Let d(v) = 9*v**3 - 5*v**2 - 9. Let h(g) = t*d(g) - 5*z(g). Differentiate h(p) wrt p.
-12*p**2
Suppose -11*b = -5*b - 12. Suppose -20 + 50 = 5*n + b*i, 5*i - 21 = n. Differentiate 7 + n - 3 + 4*v**4 with respect to v.
16*v**3
Let w(n) = -220*n**2 - 42*n - 5. Let d(k) = -222*k**2 - 42*k - 4. Let j(s) = -5*d(s) + 4*w(s). What is the second derivative of j(f) wrt f?
460
Let l(t) be the first derivative of 39*t**2/2 + 61*t - 168. Differentiate l(z) with respect to z.
39
Let s(i) = -2*i**2 - 49*i - 28. Let m be s(-23). Find the first derivative of 5 + 5 + 1 + m*v wrt v.
41
Suppose x + 4*x = 30. Suppose -5*r + x = -2*r. Differentiate r - 2*n**3 + 7 + 3*n**3 - 3 wrt n.
3*n**2
Let a(k) be the first derivative of -3*k**5/10 + 3*k**2/2 - 6*k + 2. Let d(u) be the first derivative of a(u). Differentiate d(y) wrt y.
-18*y**2
Let f(l) be the first derivative of -8*l**5/5 + 13*l**4/4 + 229*l**2 + l - 100. What is the second derivative of f(d) wrt d?
-96*d**2 + 78*d
Let w be 20/(-5)*(-15)/6. What is the derivative of 1 + w - 10*f**4 + 12*f**4 wrt f?
8*f**3
Let i(j) = 40*j**2 + 7*j + 41. Let k be -1 + (175/5)/5. Let p(g) = -39*g**2 - 6*g - 41. Let u(h) = k*i(h) + 7*p(h). Differentiate u(z) with respect to z.
-66*z
Let h(q) = 2*q**3 - 37*q**2 + 19*q - 12. Let w be h(18). Find the second derivative of 36*n - 23*n - 8*n**2 - w*n**2 wrt n.
-28
What is the third derivative of -12*p**4 + p**6 - 48*p**5 + 12*p**4 - 33 + 18 - p**2 wrt p?
120*p**3 - 2880*p**2
Let t(h) be the second derivative of 34*h**3/3 - 106*h**2 - 162*h. Find the first derivative of t(g) wrt g.
68
Suppose 2*h = -2 + 4. Let m be (2 - (-9)/(-12))/(2/8). Find the first derivative of 4*c - h - m*c + 7 wrt c.
-1
Let l(r) be the first derivative of -247*r**2/2 - 324*r + 327. Differentiate l(p) wrt p.
-247
Let a(o) be the first derivative of -1/12*o**4 - 3*o - 8 + 2*o**2 + 0*o**3. Let x(s) be the first derivative of a(s). Find the first derivative of x(f) wrt f.
-2*f
Suppose 0 = -r + 4*q - 8, 0*r - q = r - 17. Let x = r + -9. What is the third derivative of 22*v**3 - 4*v**2 + 3*v**2 - 28*v**x wrt v?
-36
Let p be 8/(-12) - ((-16)/6 - 0). What is the third derivative of 20*o**6 + 25*o**6 - 10*o**6 - 17*o**2 + 10*o**p wrt o?
4200*o**3
Let v(x) = -x**2 + 4*x + 4. Suppose 8 = b + w, -2*b - 1 = -w - 2. Let g be v(b). What is the derivative of -8*n**2 - 1 + 13 - g wrt n?
-16*n
Let f(l) be the third derivative of -7*l**5/4 - l**4/24 + 69*l**3/2 + 39*l**2 - l. Differentiate f(g) with respect to g.
-210*g - 1
Let t(c) be the first derivative of 5/2*c**2 + 8 + 28*c. What is the first derivative of t(s) wrt s?
5
What is the third derivative of -10664*p - 72*p**3 - 350*p**3 + 3*p**2 + 10583*p wrt p?
-2532
Suppose -2*h - 9*h + 44 = 0. Let q = 114 - 59. Find the first derivative of q - 51 + 0*y**h - 4*y**4 wrt y.
-16*y**3
Let r(n) = -n**5 - n**4 + n**2 + 13*n. Let h(l) = -l**4 + l**2. Suppose 20*a + 1 = 21*a. Let z(t) = a*h(t) - r(t). Find the second derivative of z(f) wrt f.
20*f**3
Let l(v) = 24*v**2 + 20*v + 10. Let x(o) = -4*o + 1. Let s(r) = l(r) - 3*x(r). What is the second derivative of s(t) wrt t?
48
Let c = -3 - -7. Suppose 0 = 4*m + 3*d - 1, c*m = 2*d + 26. Find the second derivative of 3*o - 2*o - 2*o**m - 4*o + 3*o**4 wrt o.
12*o**2
Let s(f) be the first derivative of -39*f**4/2 - 2*f**3/3 - 61*f + 539. What is the first derivative of s(n) wrt n?
-234*n**2 - 4*n
Let n = 212 - 209. Let m(v) be the third derivative of 0*v**4 + 0 + 0*v - 1/60*v**6 - v**2 + 0*v**n - 3/20*v**5. Find the third derivative of m(w) wrt w.
-12
Let a(h) = -346*h**4 + 4*h**3 - 6*h**2 - 207. Let t(y) = 173*y**4 - 2*y**3 + 4*y**2 + 105. Let l(j) = -3*a(j) - 5*t(j). Find the third derivative of l(n) wrt n.
4152*n - 12
Let j = 3 + 0. Suppose f - 7 = 6*b - b, 0 = j*b - 3. Find the second derivative of 0 - 22*u + 0 + f*u**2 + 18*u wrt u.
24
Let v(r) be the first derivative of -13*r**6/15 + r**4 - 20*r + 15. Let f(n) be the first derivative of v(n). Find the third derivative of f(g) wrt g.
-624*g
Let m(p) be the second derivative of -1/4*p**4 - 1/6*p**3 + 0*p**2 - p + 0. Find the second derivative of m(d) wrt d.
-6
Suppose 51*j + 2 = 52*j. Let z(b) = -b**3 + 9*b**2 - 9*b + 12. Let a be z(8). Find the second derivative of a*v - 10*v - 3*v**5 - j*v**5 - v**5 wrt v.
-120*v**3
Let p(h) be the third derivative of 19*h**8/20160 - h**6/45 - h**5/10 - 5*h**2. Let z(j) be the third derivative of p(j). What is the derivative of z(g) wrt g?
38*g
What is the third derivative of 0*p**4 + 4*p**2 - 42*p**2 - 12*p**4 + 16*p**6 - 14*p**6 wrt p?
240*p**3 - 288*p
Let x = -2 - -8. Find the third derivative of -j**2 + 9*j + 37*j**2 - 14*j**x - 9*j wrt j.
-1680*j**3
Suppose 2*k - 7 = -l, -3*l + 3*k + 5 = -7. Find the second derivative of y**3 + l*y**3 - 2*y**3 + 2*y - 4 wrt y.
24*y
Find the third derivative of -40*y + y**6 - 119*y**5 + y**2 - 98*y**5 - 103*y**5 wrt y.
120*y**3 - 19200*y**2
Suppose 11*c - 69 + 14 = 0. Let w(u) be the first derivative of 0*u**2 + 0*u**4 + 7 + 8/5*u**c - 3*u + 0*u**3. Differentiate w(i) wrt i.
32*i**3
Let h be (-4 - 2)*4/(-8). Suppose 0 + 3 = w, 9 = h*l + w. What is the third derivative of 0*v**3 - v**3 + 1 - 1 + l*v**2 wrt v?
-6
Let o be (-7)/(-1)*(-39)/(-91). Let p be (-4)/((16/(-6))/4). What is the first derivative of y**3 + 8*y**3 - 7*y**o - p wrt y?
6*y**2
Let s(o) = 42*o**4 + 5*o**3 - 114*o.