 d(z) be the third derivative of 0*z**3 - 1/10*z**6 + 0*z + 0 + 0*z**5 + 1/2*z**4 - 5*z**2. What is the second derivative of d(b) wrt b?
-72*b
Let g be -6*(((-8)/(-3))/2 + -3). What is the second derivative of h**5 - g*h - 17*h + 41*h wrt h?
20*h**3
Let a(t) = 29*t**3 - 7*t - 5. Let p(v) = -30*v**3 + 8*v + 6. Let z(w) = 7*a(w) + 6*p(w). Find the second derivative of z(s) wrt s.
138*s
Let o(u) = 63*u**2 + u + 14. Let d(q) = -64*q**2 - 13. Let r(p) = -2*d(p) - 3*o(p). What is the first derivative of r(h) wrt h?
-122*h - 3
Let w(j) = 75*j**2. Let r be w(-1). Suppose n + r = 4*n. What is the first derivative of -11 + 19*v + 2 - n*v wrt v?
-6
Let z(i) be the third derivative of 137*i**7/105 - 65*i**3/6 + 5*i**2 + 10. What is the derivative of z(j) wrt j?
1096*j**3
Differentiate -5 + 21 - 278*y + 269 - 122*y with respect to y.
-400
Suppose -3*x = 3*y - 18 - 0, 6 = 3*x - y. Find the third derivative of -9*f**2 - f**3 - 9*f**6 + f**x + 28*f**2 wrt f.
-1080*f**3
Suppose 2*b - 55 - 16 = v, 4*b - 152 = 4*v. Let i = -31 + b. Find the third derivative of -h**2 + i*h**6 + 3*h**2 - 8*h**2 wrt h.
240*h**3
What is the third derivative of -3*p**6 - 1 - 2*p**2 + 38*p**2 - 4*p**2 wrt p?
-360*p**3
Let a(u) = 2*u - 10*u + 5*u - 19*u + 4. Let g(h) = 21*h - 4. Let v(i) = 7*a(i) + 6*g(i). What is the derivative of v(z) wrt z?
-28
Let y = 179 + -29. What is the third derivative of -2*h - y*h**3 + 160*h**3 - 18*h**2 + 2*h wrt h?
60
What is the second derivative of 3*p**2 + 2 - 4*p**4 - 58*p - 2*p**4 + 41*p wrt p?
-72*p**2 + 6
Let f(u) be the third derivative of 139*u**6/120 + 49*u**5/6 - 8*u**2 + 8. What is the third derivative of f(s) wrt s?
834
Suppose -5*n + 3 = -4*m - 3, 5*n - 9 = m. Differentiate 3*g - 10 - n*g + 3*g with respect to g.
4
Find the first derivative of 188*c**4 + 253*c**4 - 159 + 397 wrt c.
1764*c**3
Let u(t) be the first derivative of t**7/24 - 13*t**5/120 + 7*t**3 + 9. Let w(f) be the third derivative of u(f). Find the second derivative of w(z) wrt z.
210*z
Differentiate -15*m**2 + 35 - 79 + 16*m**2 - 129 + 70*m wrt m.
2*m + 70
Find the third derivative of -s**2 + 212*s**3 - 79*s**3 - 674*s**3 - 170 wrt s.
-3246
Find the first derivative of 2*x**3 + 4*x**2 - 3*x**3 - 4*x**2 + 41*x**4 + 139 - 37 wrt x.
164*x**3 - 3*x**2
Let s be 39/7 + 9/21. Let u(o) = -s - o + 2*o + 5. Let g(k) = -11*k + 6. Let w(y) = -2*g(y) - 18*u(y). Differentiate w(m) with respect to m.
4
Let c(d) be the third derivative of 0*d**3 + 16*d**2 + 1/15*d**5 + 0 + 13/12*d**4 + 0*d. Find the second derivative of c(w) wrt w.
8
Let l(x) = -x**3 + 2*x**2 - 1. Let t(y) = 100*y**3 + 80*y**2 - 150*y - 40. Let f(a) = 40*l(a) - t(a). What is the second derivative of f(d) wrt d?
-840*d
Find the third derivative of 2*h**2 - 117*h**6 + h - 950*h**4 + 951*h**4 + 2*h**3 - 4*h - 2*h**3 wrt h.
-14040*h**3 + 24*h
Suppose 5*a - 3*f - 21 = 0, 2*a - 17 = -3*a + f. What is the third derivative of 2*u**2 + 7*u**2 + 12*u**3 - 23*u**a + 13*u**3 wrt u?
12
Let u = -165 + 165. Let g(s) be the first derivative of -2/3*s**6 + 0*s + 2/3*s**3 + u*s**4 + 0*s**5 - 4 + 0*s**2. Find the third derivative of g(w) wrt w.
-240*w**2
Let c = 0 - -2. Let j(f) = 9 - 2 - 4*f**2 + c*f + 0*f. Let w(y) = y + 1. Let u(v) = -j(v) + 2*w(v). Differentiate u(k) wrt k.
8*k
Let t(v) = 49*v**5 + 7*v**4 - 5*v**3 - 9*v**2 - 3. Let l(q) = q**5 - q**4 + q**3 + q**2. Let i(o) = -5*l(o) - t(o). What is the third derivative of i(g) wrt g?
-3240*g**2 - 48*g
Let k(q) = -9*q**3 - 42*q**2 - 7*q - 33. Let l(s) = 4*s**3 + 21*s**2 + 3*s + 17. Let x(d) = 6*k(d) + 14*l(d). Differentiate x(p) with respect to p.
6*p**2 + 84*p
Suppose -y + 4 = -11. What is the second derivative of 9*u + 4*u - 2*u - y*u**4 + 19*u wrt u?
-180*u**2
Let j(d) = d**3 + 3*d**2 - 6*d - 2. Let t be j(-4). Suppose 0 = -3*w - 0 + t. What is the derivative of 4*f - w*f - 4*f + 1 - 3*f wrt f?
-5
Let j(v) be the second derivative of -43*v**4/12 + 299*v**3/6 + 10*v + 8. Find the second derivative of j(o) wrt o.
-86
Let g = -1360 - -1362. Let n(c) be the third derivative of 10*c**g + 0 - 1/8*c**4 + 0*c + 1/3*c**3. Differentiate n(b) wrt b.
-3
Let b be 4/20 - (-14)/5. Suppose -3*d + 454 = 2*s, b*s + 3*d = 2*d + 688. Differentiate -230*g + 5 + 4*g**2 + s*g wrt g.
8*g
Let g(b) be the second derivative of 95*b**4/6 - 29*b**3/6 + 144*b. What is the second derivative of g(f) wrt f?
380
Suppose -h + 280*b = 278*b + 1, h - 23 = -4*b. Let g(u) be the second derivative of 0*u**3 + 0 - 2*u**2 + 3/4*u**4 + h*u. Differentiate g(t) wrt t.
18*t
Find the third derivative of 0 - 5 - 16*j**5 - 8*j - 11*j**2 + 8*j + 46*j**6 - 42*j**6 wrt j.
480*j**3 - 960*j**2
Let z(u) = -26*u**4 - 4*u**2 + 16*u. Let b(w) = 25*w**4 + 3*w**2 - 16*w. Let f(k) = 3*b(k) + 2*z(k). Find the third derivative of f(j) wrt j.
552*j
What is the second derivative of 231*t**3 + 355*t - 460*t**3 + 228*t**3 - 10*t**4 wrt t?
-120*t**2 - 6*t
Let f(y) = -y**3 + 7*y**2 - 2*y - 8. Let h be f(6). Suppose 20*c = 24*c - h. What is the first derivative of 4*l**4 + 7*l**2 + 6*l**2 - 13*l**2 - c wrt l?
16*l**3
Let x(t) = -1650*t - 851. Let n(a) = -1099*a - 567. Let c(d) = -8*n(d) + 5*x(d). Differentiate c(b) with respect to b.
542
Suppose -4*f = -10*f + 126. What is the first derivative of 2 - 6 - 21*n**2 + 13*n**4 + f*n**2 wrt n?
52*n**3
Let v(h) be the first derivative of -15/2*h**2 + 0*h**3 + 15/4*h**4 - 1 + 0*h. Find the second derivative of v(j) wrt j.
90*j
Let j(k) = 33*k**3 - 85*k**2 - 7*k + 6. Let v(l) = -99*l**3 + 254*l**2 + 20*l - 17. Let d(x) = 17*j(x) + 6*v(x). Find the third derivative of d(q) wrt q.
-198
Suppose -6*t + 0 = -12. Let d = t - 1. Differentiate -10*k - 2 + 3 + d with respect to k.
-10
Let u(i) be the second derivative of 367*i**3/6 + 227*i**2 - 203*i. Differentiate u(w) wrt w.
367
What is the second derivative of 5678 - 11373 - v + 4*v - 338*v**3 + 5606 wrt v?
-2028*v
Differentiate -105*a**2 - 165*a**4 - 84*a**4 + 105*a**2 - 36 wrt a.
-996*a**3
Suppose -2*h = -2*s - h + 63, -s + 5*h = -9. Suppose -6*y + 4*y + 8 = 0. Differentiate -s*o + 34*o + 1 + 4*o**y with respect to o.
16*o**3
Let l(h) = 25*h**4 + 4*h**2 + 5*h - 7. Let c(r) = -r**4 - r**2 + 2. Let w(a) = -5*c(a) - l(a). Find the second derivative of w(o) wrt o.
-240*o**2 + 2
What is the derivative of -4*l + 0*l + 5*l**2 - 31*l**4 + 120 - 5*l**2 + 75 wrt l?
-124*l**3 - 4
Let m(x) be the second derivative of 167*x**3/6 + 121*x**2/2 - 97*x + 1. Differentiate m(h) with respect to h.
167
Suppose -5*v - o = o - 16, v + o - 2 = 0. Find the second derivative of 5*y**5 - 19*y**v + 19*y**4 + 8*y + 15*y wrt y.
100*y**3
Suppose 1 = 2*l - 3. Let v(r) = 9*r**2 - 2*r + 9. Let f(u) = 37*u**2 - 9*u + 36. Let d(t) = l*f(t) - 9*v(t). What is the derivative of d(h) wrt h?
-14*h
Let o(a) = 16*a**4 - 7*a**3 + 18*a**2 - 365. Let b(j) = 15*j**4 - 6*j**3 + 15*j**2 - 364. Let v(d) = 7*b(d) - 6*o(d). Differentiate v(n) wrt n.
36*n**3 - 6*n
Suppose 6*n - n + 2*l - 84 = 0, -8 = -n + 4*l. Find the third derivative of 11*u**4 - 8*u**4 - 16*u**2 + n*u**4 wrt u.
456*u
Let f(m) be the second derivative of m**7/84 - m**4/2 - 11*m**3/6 + 10*m. Let v(t) be the second derivative of f(t). What is the derivative of v(o) wrt o?
30*o**2
Let g(i) be the first derivative of -63*i**5/5 - i**4/4 - 81*i**2 - 565. Find the second derivative of g(q) wrt q.
-756*q**2 - 6*q
Suppose -5*h + 55 + 45 = 0. Suppose 19*d = h*d - 15. What is the third derivative of -d*g**2 + 2*g**3 - 8*g**6 + 8*g**2 - 2*g**3 wrt g?
-960*g**3
Suppose -2*j + 13 = 7. Suppose j*q - 22 = 2*v - 7*v, -4*v - 2*q + 18 = 0. Find the second derivative of 7*l + 5*l**v - 11*l**2 + 11*l**2 wrt l.
100*l**3
What is the first derivative of 435*q**4 - 129 + 93 - 373 wrt q?
1740*q**3
Let n(z) = -12*z**4 + z**3 + 9*z**2 + 6*z - 3. Let y(x) = x**3 + 2*x**2 + x + 1. Let v(k) = n(k) - 6*y(k). What is the third derivative of v(q) wrt q?
-288*q - 30
Let i = 93 - 68. Find the third derivative of -9*c**3 - 9*c**3 + 27*c**2 - c**3 + i*c**3 wrt c.
36
Let u(l) be the third derivative of 0*l**3 + 0*l**4 + 0 + 8*l**2 - 1/4*l**5 + 0*l - 11/120*l**6. What is the third derivative of u(p) wrt p?
-66
Suppose 5*i - 15 - 5 = 0. Suppose -3*u = -5*l + 16, -2*u + 0*u - i = 0. What is the second derivative of -8*t + 2 + l*t**4 + 2*t - 2 wrt t?
24*t**2
Let l(q) be the second derivati