- 6. Let i(h) = j(h) - 6*z(h). Find the third derivative of i(k) wrt k.
48*k + 462
What is the second derivative of 26*j - 42*j**4 + 49*j - 23*j + 7*j**4 wrt j?
-420*j**2
Let m = -445 - -450. Suppose 4*h - h = 5*w + 15, -4*h = -2*w - 6. What is the third derivative of 5*q**2 + q**5 + q**m + h*q**5 - 2*q**2 wrt q?
120*q**2
Suppose -240 = -12*j + 8*j. What is the derivative of -5 + 3 - 95*m + j*m wrt m?
-35
Suppose 0 = 4*k - 17 - 3. Let l(o) = -2*o - 3*o - o + k*o. Let w(q) = -18*q + 6. Let b(g) = 9*l(g) - w(g). What is the derivative of b(n) wrt n?
9
Suppose -3*u + 1 + 5 = 0. Find the second derivative of -21*n**u + 25*n - 5*n + 6*n**3 + 21*n**2 wrt n.
36*n
Let k(a) = a**3 + 2*a**2 - 4*a - 3. Let m be k(-3). Suppose -s = 3*s - 4*c - 8, m = 4*s + 5*c - 53. Differentiate -5 + s - 1 + y**2 wrt y.
2*y
Let z(t) be the third derivative of 5*t**8/336 - 3*t**6/10 + 35*t**5/12 + 41*t**2 + 4*t. Find the third derivative of z(k) wrt k.
300*k**2 - 216
Find the third derivative of 103*m**4 + 71*m**2 + 2 - 142*m**2 + 76*m**2 - 3 wrt m.
2472*m
Let x(z) be the third derivative of -47*z**8/112 - z**5/4 - z**2 + 21. Find the third derivative of x(a) wrt a.
-8460*a**2
Let b(g) be the second derivative of 0*g**3 + 0*g**4 + 20*g**2 + 23*g + 3/20*g**5 + 0. What is the first derivative of b(z) wrt z?
9*z**2
Suppose -40*n + 42*n = 30. What is the second derivative of -12*l**3 + 12*l**2 + 16*l - 27*l**2 + n*l**2 wrt l?
-72*l
Let c be -3*(2/(-6) - 16/(-24)). Let d(m) = m**2 - m. Let z(a) = -34*a**2 - 36*a. Let o(r) = c*z(r) - 3*d(r). Find the second derivative of o(n) wrt n.
62
Find the first derivative of -93 + 108 - 360*d**2 + 48 wrt d.
-720*d
Let i(f) be the first derivative of -13*f**6/6 + f**4/4 + 22*f**3/3 - 74. Find the third derivative of i(v) wrt v.
-780*v**2 + 6
Let a(h) be the first derivative of 3*h**7/7 - h**6/2 + 54*h**3 + h + 82. What is the third derivative of a(y) wrt y?
360*y**3 - 180*y**2
Let a(u) be the first derivative of u**7/84 + 11*u**5/120 - u**3/3 + 6. Let d(s) be the third derivative of a(s). What is the second derivative of d(q) wrt q?
60*q
Let h(y) = 3*y**5 + y**4 + y. Let l(a) = -66*a**5 - 4*a**4 + 34*a**2 + 3*a. Let f(i) = h(i) + l(i). Find the third derivative of f(v) wrt v.
-3780*v**2 - 72*v
Let r(q) = 392*q**4 + 44*q + 2. Let l(i) = 1961*i**4 + 220*i + 10. Let a(k) = 2*l(k) - 11*r(k). What is the second derivative of a(d) wrt d?
-4680*d**2
Let b(i) = 13*i**2 - 2*i + 551. Let k(u) = u**2 - u + 1. Let l(q) = -b(q) + 2*k(q). Differentiate l(g) wrt g.
-22*g
Let m(b) = 25*b**4 + 2*b**3 + 8*b**2 - 22. Let d(s) = 50*s**4 + 4*s**3 + 17*s**2 - 44. Let c(p) = 2*d(p) - 5*m(p). What is the third derivative of c(v) wrt v?
-600*v - 12
Suppose 5*d + 6*d - 858 = 0. What is the first derivative of -12*b - 13*b + d - 104 + 8*b wrt b?
-17
Let g = 5 - 3. Let f = 182 - 180. What is the third derivative of 2*y**2 + 9*y**3 - 3*y**f - 5*y**g - 3*y**3 wrt y?
36
Let n(y) be the second derivative of y**8/28 - 19*y**7/42 - 5*y**4/2 + 154*y. Find the third derivative of n(p) wrt p.
240*p**3 - 1140*p**2
Let u(s) be the third derivative of 9*s**6/40 + s**5/30 + 59*s**4/4 + s**2 - 188. What is the second derivative of u(r) wrt r?
162*r + 4
Let z be (-2)/(-14) + (-40)/(-14). Differentiate 2 - 6*d**3 + 9 - d**z with respect to d.
-21*d**2
Let d(n) be the third derivative of -n**8/168 - 73*n**7/210 - 121*n**4/12 - 242*n**2. Find the second derivative of d(l) wrt l.
-40*l**3 - 876*l**2
Let v = 4 + -7. Let l be v/(10/(-4) + 1). What is the second derivative of 5*s + l + 3*s**2 - 5 + 3 wrt s?
6
Let k = 31 + -29. Find the second derivative of 41*i**2 - 51*i**2 - 4*i + k*i wrt i.
-20
What is the derivative of 8 - 89*r**2 + 57*r**2 - 6*r + 16*r + 34*r**2 wrt r?
4*r + 10
What is the second derivative of -130*a**2 + 26*a**2 - 63*a - 50*a wrt a?
-208
Let g(k) = 13*k**3 - 7*k**2 - 15. Let j(l) = 4*l**3 - 2*l**2 - 5. Let w = -5 - -7. Let i(o) = w*g(o) - 7*j(o). Differentiate i(a) wrt a.
-6*a**2
Suppose -18*z - 121 = -29*z. Differentiate q**2 + 7*q - 2*q - z + 12*q + 3 with respect to q.
2*q + 17
Let s(z) be the second derivative of 3*z**6/2 - z**4/12 + 39*z**2 - 5*z - 3. What is the derivative of s(l) wrt l?
180*l**3 - 2*l
Suppose -2*x - 4*d = -30, -35 = 5*x - 4*d - 166. Find the second derivative of -x*i - 899*i**2 + 899*i**2 + 34*i**5 wrt i.
680*i**3
Let u(y) = -29*y**2 - 4 + y + 34*y**2 - 14*y. Let x(d) = -14*d**2 + 39*d + 11. Let v(h) = -11*u(h) - 4*x(h). What is the second derivative of v(t) wrt t?
2
Let l = 13 - 10. Suppose -p + 6 = -l*a, -a = -5*p - 0*p + 16. Differentiate p - 3*g - 2 + 0 - 2 wrt g.
-3
Let x(h) be the first derivative of 0*h**4 + 26/3*h**3 + 7 + 0*h + 19/5*h**5 + 0*h**2. Find the third derivative of x(w) wrt w.
456*w
Let w be (-6)/(-2*(3 - 2)). Let m = -130 + 132. Find the second derivative of 0 + w*k**m + k + 0 - 5*k wrt k.
6
Let s = -581 - -832. Find the second derivative of s*o - 239*o - 14*o**3 + 2*o**3 wrt o.
-72*o
Find the third derivative of 0*f**3 - 1810*f + 33*f**4 + 1810*f + 3*f**3 + 313*f**2 + 2 wrt f.
792*f + 18
Let r(k) be the third derivative of -5*k**9/63 - k**7/210 - k**5/15 + k**4/12 + 2*k**2 + 95*k. Find the third derivative of r(z) wrt z.
-4800*z**3 - 24*z
Find the second derivative of -21*k**3 + 17*k**3 + 252*k**2 + 248*k**2 - 499*k**2 - 21 + 133*k**3 - k wrt k.
774*k + 2
Let z(d) = -7*d + 3. Let y(k) = -6*k + 2. Let a(r) = 6*y(r) - 5*z(r). Let j be a(-4). Differentiate j + 2*w + 3*w + 5 - w with respect to w.
4
Find the third derivative of y - 9*y**3 - y**6 - 2*y + 56*y**2 + 89*y**2 + 13*y**3 - 11*y**3 wrt y.
-120*y**3 - 42
Suppose 3*l + l - 2*x = 18, x = 5*l - 15. Suppose b + l*q - 10 = 0, -2*q = -b + q - 5. Differentiate -4 + g + b - 1 - 5 with respect to g.
1
Let o be (-72)/54 + (-10)/(-3). Suppose 0 = 2*k + t - 20, 0 = 5*k - 4*t - 33 - 30. Differentiate k - 10 + o*s**4 + 10*s - 10*s wrt s.
8*s**3
Let h(o) be the second derivative of -487*o**6/30 - 469*o**3/6 + 418*o. What is the second derivative of h(s) wrt s?
-5844*s**2
Let o = 166 + -40. Suppose 0 = -4*h + 11*h - o. Differentiate -8*k**3 - h*k + 5 - 15*k + 33*k with respect to k.
-24*k**2
Let t(j) be the second derivative of -65*j**3/6 - 123*j**2/2 - 2*j + 37. Differentiate t(h) wrt h.
-65
What is the second derivative of -57*u - 51*u - 394*u**5 + 817*u**5 wrt u?
8460*u**3
Let q(d) = 36*d - 8. Let m(n) = 37*n - 9. Suppose 0 = 3*p - 2*p + 3. Let a(z) = p*m(z) + 2*q(z). Find the first derivative of a(f) wrt f.
-39
Let v(b) = 14*b**4 + 5*b**3 - 5*b**2 - 15. Let r(a) = -a**4 + a**3 - a**2. Let l = 43 + -44. Let k(n) = l*v(n) + 5*r(n). What is the derivative of k(u) wrt u?
-76*u**3
Suppose -7*q + 2*q + 30 = 0. Let d be ((-36)/(-14))/(q/56). What is the second derivative of -3*j - 2*j + 24*j**3 - d*j**3 + 14*j**4 wrt j?
168*j**2
Differentiate 2*i**3 - 34309 + 3*i**3 + 34888 with respect to i.
15*i**2
Let i(w) = -87*w**3 + 2*w**2 - 228*w - 4. Let z(c) = -87*c**3 + 2*c**2 - 230*c - 6. Let g(v) = -3*i(v) + 2*z(v). What is the third derivative of g(q) wrt q?
522
Suppose 2*u + 2 = 0, 1 = -2*y + u + 10. What is the third derivative of -31*w**6 + 23*w**2 - 305*w**4 + 305*w**y wrt w?
-3720*w**3
Suppose -4*z + 4*t = -40, -3*t = 5*z - 4*t - 50. Let d be (2 - -1)/(z/10). What is the second derivative of 3*p**d + 9*p - 11*p + p wrt p?
18*p
Find the third derivative of -3 - 60*v**4 - 69*v**2 + 5 + 64*v**2 - 56*v**4 wrt v.
-2784*v
Let n(s) be the first derivative of -25*s**4/4 - 192*s - 377. What is the derivative of n(k) wrt k?
-75*k**2
Let x(n) = 25*n**2 - 76*n + 11. Let y(h) = 5*h**2 - 15*h + 2. Let z be -1*(3 - 4)*-11. Let u(j) = z*y(j) + 2*x(j). Find the second derivative of u(t) wrt t.
-10
Let w(j) be the first derivative of -j**6 + 22*j**2 + 43. What is the second derivative of w(n) wrt n?
-120*n**3
Let r(i) be the first derivative of 23/6*i**6 + 0*i**5 + 5 + 8*i**3 + 0*i + 0*i**2 + 0*i**4. Find the third derivative of r(o) wrt o.
1380*o**2
Let m(u) be the first derivative of -u**4/4 - 8*u**3 + 21*u**2/2 - u + 593. What is the second derivative of m(r) wrt r?
-6*r - 48
Suppose 16 + 3 = 19*s. Let t(g) be the first derivative of 0*g**2 + s - 5/4*g**4 + 0*g**3 + g. Differentiate t(p) wrt p.
-15*p**2
Suppose -2*w - 51 = -y + 2*w, 5*w = -5*y + 130. Differentiate -29*i + 29*i - 55*i**3 + y + 21