- 15. What is the second derivative of 4*a**5 + 28*a - 2*a**5 + a**b + 11*a wrt a?
60*a**3
Differentiate 431 + 174*f + 104*f + 64*f with respect to f.
342
Let l = 34 - 30. What is the first derivative of -5 + 9 - 10*z**4 - 11*z**4 + 7*z**l wrt z?
-56*z**3
Let q be ((-4)/(-6))/(2/24). Suppose 1 = 2*v - s, -3*v + q*v + 4*s - 35 = 0. Find the third derivative of 0*h**2 + 11*h**2 - v*h**2 - 2*h**5 - 3*h**5 wrt h.
-300*h**2
Let c be (-24)/3 + 4 + 4. Suppose c*h - 3*h + 6 = -3*r, 4*h + 5*r - 44 = 0. What is the second derivative of 3*n**4 - h*n - 6*n + 9*n wrt n?
36*n**2
Let p(g) be the second derivative of -36*g**3 - 287*g**2/2 + 3*g - 45. What is the derivative of p(w) wrt w?
-216
Let q(r) be the third derivative of -23*r**5/4 + 305*r**3/6 + 144*r**2 - r. What is the derivative of q(z) wrt z?
-690*z
Let x(j) be the second derivative of -j**6/30 + 12*j**5/5 + 59*j**4/6 + 79*j. Find the third derivative of x(z) wrt z.
-24*z + 288
Let y(q) = -q**2 - 3*q - 7. Let f be (6/(-4))/((-2)/4). Let v(d) = 4*d**2 + 8*d + 21. Let n(a) = f*v(a) + 8*y(a). Find the first derivative of n(z) wrt z.
8*z
Let s(a) be the third derivative of -17*a**7/21 + a**5/20 + 199*a**3/3 + 725*a**2. What is the first derivative of s(t) wrt t?
-680*t**3 + 6*t
Suppose 6*q = 3*q + 36. Let k(p) = -p**3 + 13*p**2 - 13*p + 14. Let w be k(q). What is the first derivative of n**2 - 9*n**2 + 2*n**w + 2 wrt n?
-12*n
Let k(w) be the third derivative of -1/15*w**6 + 0*w**4 + 3*w**2 - 43/6*w**3 - 2 + 0*w - 1/70*w**7 + 0*w**5. Differentiate k(n) with respect to n.
-12*n**3 - 24*n**2
Suppose 4*y - 2 = 5*v + 5, y - v - 2 = 0. Suppose n + 3 + y = -3*w, -2*n - 4*w = 8. Find the third derivative of -4*k**2 + 9*k**3 + n*k**2 + k**3 wrt k.
60
What is the third derivative of -27*v**2 - v**5 + 16*v**2 + 2*v**4 + 10*v**2 + 11*v**2 wrt v?
-60*v**2 + 48*v
Let y(v) = 4*v + 10. Let j(t) = 13*t + 43. Let x(w) = -6*j(w) + 26*y(w). Differentiate x(f) with respect to f.
26
Differentiate -327*q**2 - 141*q**2 - 69*q**2 - 139 + 924 with respect to q.
-1074*q
Suppose f = 3*f - 34. What is the third derivative of -230*y + 10*y**2 + 230*y + f*y**4 wrt y?
408*y
Differentiate 4902*y - 4571*y - 105 - 104 with respect to y.
331
What is the first derivative of -1776*m**2 - 211 + 1830*m**2 + 40 wrt m?
108*m
Let i(z) = -z**3 + z**2 + 2*z + 2. Let h be i(-1). What is the third derivative of 3*v**5 - 5*v**2 + 17*v**2 - 13*v**h wrt v?
180*v**2
Differentiate 28 - 289*h**2 - 23 - 110 - 122 - 95 with respect to h.
-578*h
Find the first derivative of 75*b**3 - 43 - 19 + 17 - 38 wrt b.
225*b**2
Let q(k) = -k**2 + 2*k + 4. Let u be q(3). Let n be 4 + 8/(-3 - u). Differentiate 8 - 2*d - 2*d**n + 7*d**2 + 2*d wrt d.
10*d
Let t = 2 - 11. Let d(r) = -r - 9. Let y be d(t). Find the second derivative of 7*x**2 + 5*x - 4*x**2 - 7*x**2 + y*x**2 wrt x.
-8
Let r be 24*((-40)/(-15))/8. Let t(c) be the second derivative of -4/3*c**3 + 0*c**2 - 1/6*c**4 + 0 - r*c. Find the second derivative of t(u) wrt u.
-4
Let h(j) = 16*j**3 - j + 2. Let i be h(1). Find the third derivative of 20 - 7 - i*a**2 + 11*a**5 - 13 wrt a.
660*a**2
Let w(x) = x**3 - 1. Let m(q) = 90*q**3 + q**2 + 54. Let o(i) = m(i) - 5*w(i). What is the third derivative of o(s) wrt s?
510
What is the third derivative of -21*t**2 + 64*t**5 + 12*t**2 - 12*t**2 + 5*t - 17*t**5 - 14*t wrt t?
2820*t**2
Let p(x) be the first derivative of -19*x**7/840 - 5*x**4/24 - 14*x**3/3 + 19. Let w(u) be the third derivative of p(u). What is the derivative of w(n) wrt n?
-57*n**2
Let r(b) be the third derivative of 0*b**4 - 9*b**2 + 3/40*b**6 + 1/12*b**5 + 0*b + 0*b**3 + 0. Find the third derivative of r(z) wrt z.
54
Let w(l) be the second derivative of 0*l**3 - 5/12*l**4 + 11/2*l**2 + 0 - 12*l. Differentiate w(v) wrt v.
-10*v
Let m(o) = -4*o**2 - 23*o + 30. Let y(z) = -z**2. Let g(h) = -m(h) + 3*y(h). Differentiate g(d) with respect to d.
2*d + 23
Let v(u) be the third derivative of -u**6/24 - 7*u**4/12 - 91*u**3/2 + 40*u**2. Differentiate v(l) with respect to l.
-15*l**2 - 14
Let v(g) = 2*g**2 - 5*g + 2. Let n be v(2). Let f(w) be the first derivative of 1/2*w**4 + 0*w + 1 + 2/3*w**3 + n*w**2. Find the third derivative of f(u) wrt u.
12
Let d(y) be the second derivative of -24*y + 0*y**2 + 2*y**4 + 0 + 0*y**3 - 1/15*y**6 + 0*y**5. Find the third derivative of d(i) wrt i.
-48*i
What is the derivative of -63064*p + 753*p**3 + 291 + 63064*p - 1062 wrt p?
2259*p**2
Suppose 19*y = -62*y. Let c(n) be the second derivative of y*n**3 - 1/6*n**4 + 0 + 0*n**2 - 1/5*n**5 + 11*n. Find the third derivative of c(s) wrt s.
-24
Let h be (-84)/(-22) - 16/(-88). What is the third derivative of -8*r**2 - 15*r**2 + 5*r**h + 5*r**2 - 5*r**2 wrt r?
120*r
Suppose -8*x - 2 = -9*x. Suppose -o - 16 = -4*l, x*o + 0*l + 4*l = 28. What is the third derivative of -4*b**3 + o*b**3 + b**2 + 6*b**4 wrt b?
144*b
Let w(y) be the second derivative of -1/3*y**6 - 16*y + 0*y**5 + 0*y**2 + 0 - 2/3*y**4 + 0*y**3. Find the third derivative of w(v) wrt v.
-240*v
Let d(q) be the second derivative of 33*q**6/10 + q**4/12 - 56*q**3/3 - 52*q. What is the third derivative of d(h) wrt h?
2376*h
Let i(b) be the second derivative of b**6/10 + b**5/20 - 59*b**4/12 + 6*b + 3. Find the third derivative of i(d) wrt d.
72*d + 6
Let n(p) = p**2 + 9*p + 10. Let x be n(-8). Let s be 9*x*(-5)/(-15). Differentiate -7 - t + 5*t - s*t - 2 wrt t.
-2
Let b(j) be the second derivative of -4/3*j**3 + 0*j**4 + 0 - 8*j + 0*j**2 - 1/20*j**5. Find the second derivative of b(g) wrt g.
-6*g
Let x = 2/39 - -35/78. Let j(p) be the third derivative of -1/12*p**5 + 0*p**4 - x*p**3 + 0*p - p**2 + 0. Differentiate j(a) wrt a.
-10*a
Let h(f) be the third derivative of 1/24*f**6 + 0 + 0*f**5 + 1/2*f**4 + 0*f + 12*f**2 + 0*f**3. Find the second derivative of h(u) wrt u.
30*u
Let b(s) = s**3. Let f(w) = -2*w**3 + w**2. Let i(a) = 3*a**3 + a. Let n be i(1). Let x(z) = n*f(z) + 3*b(z). Find the third derivative of x(t) wrt t.
-30
Let j be ((-3)/2 - -1)*-6. Suppose 4*q = 4*d + 20, -2*q + j*d = -1 - 9. What is the derivative of q*t**2 + t**2 + 8*t**2 - 3 - 5*t**2 wrt t?
18*t
Find the second derivative of 338 - 5*a**3 - 19*a**2 - a - 3*a**3 + 2*a + 0*a + a**3 wrt a.
-42*a - 38
Let h(p) = p**2 - 5*p - 13. Let d be h(8). What is the derivative of -d*v**2 + 15*v**2 + 9*v**2 - 24 wrt v?
26*v
Suppose -f - 5*f = 0. Let x(p) be the third derivative of 1/6*p**3 + 1/60*p**5 + 0 + p**2 + 0*p**4 + f*p. What is the derivative of x(i) wrt i?
2*i
Let s(m) = 6*m - 3. Let b be s(2). Let i = -358 + 360. What is the first derivative of -b*l**3 + 0 + i*l**3 - 7 wrt l?
-21*l**2
Let m be (45/(-10))/(3/(-6)). What is the third derivative of 13*z**5 - 5*z**5 - m*z**5 + 0*z**2 - 9*z**2 wrt z?
-60*z**2
Let u = 20 + -15. Suppose 4*y = -u*b - 14 + 2, 3*b + 4 = -4*y. What is the third derivative of -2 + 1 - 6*q**y + 1 + 4*q**5 wrt q?
240*q**2
Suppose o + 6 = -o. Let r be o/6*(-48)/6. Differentiate -10*f**4 - 5 - 4*f - 4 + r*f with respect to f.
-40*f**3
Let x(f) be the second derivative of 219*f**5/10 - 527*f**4/12 + 3*f - 70. What is the third derivative of x(q) wrt q?
2628
Let y(v) = -v**3 - 5*v**2 + 3*v + 4. Let j be y(-5). Let k(b) = -b - 8. Let w be k(j). Find the third derivative of -3*l**w + 3*l**3 - 5*l**3 + 6*l**2 wrt l.
-30
Suppose -5*f - 4 = -29. Find the second derivative of f*i - 12*i + 4*i + 2*i + 12*i**4 wrt i.
144*i**2
Let n = 1096/5 + -219. Let u(v) be the first derivative of n*v**5 + 0*v**4 + 0*v**3 + 0*v**2 + 3*v - 5. Differentiate u(q) wrt q.
4*q**3
Let b be ((-1644)/16)/(-3) + (-1)/4. Differentiate -b - 9*o**3 + 55*o**3 + 78 wrt o.
138*o**2
Let f(k) be the third derivative of -157*k**4/8 - 511*k**3/6 + 7*k**2 - 25*k. Differentiate f(o) wrt o.
-471
Let i(g) = 7*g + 684 + 0*g + 6*g**2 - g**3 - 682. Let p be i(7). Find the third derivative of -w**2 - 13*w**3 - 6*w**2 - p*w**2 wrt w.
-78
Let c = 15 + -13. Let l be (1 - 11)*(-1)/c. What is the second derivative of 6*q**l + q**5 + 0*q - 5*q - q**5 wrt q?
120*q**3
Suppose -3*j = 9, -3 = 3*f - 2*f + 3*j. Suppose -f*x + 3*x + 18 = 0. What is the third derivative of -5*h**2 - 7*h**2 + x*h**2 + 4*h**6 wrt h?
480*h**3
Let x(d) = 572*d**3 - 3*d**2 + 3*d - 15. Let v(t) = -573*t**3 + 2*t**2 - 2*t + 14. Let n(y) = -3*v(y) - 2*x(y). What is the derivative 