= 16. Differentiate n*w**3 - 2*w**3 - 3*w**3 - 3 with respect to w.
3*w**2
Let t(x) = -x**3 + 2*x**2 + 4*x - 3. Let n be t(3). Suppose f = -n*f + 6. Find the third derivative of 2*r**6 + r**2 + r**f - r**6 wrt r.
240*r**3
What is the derivative of -3 + v**3 + 23 - 11*v**3 - 4*v**3 wrt v?
-42*v**2
Let m(u) be the second derivative of -u**7/14 + 17*u**5/20 + 3*u**4/4 + u**3/6 + 12*u - 3. Find the third derivative of m(k) wrt k.
-180*k**2 + 102
Let h(r) be the second derivative of 1/42*r**7 - 3*r + 0*r**4 - 2/3*r**3 + 0*r**2 + 0 + 0*r**6 + 0*r**5. What is the second derivative of h(j) wrt j?
20*j**3
Let r(u) be the second derivative of 13*u**4/6 - 5*u**2 - 3*u. Differentiate r(o) with respect to o.
52*o
Let o(r) be the first derivative of 2*r**5/5 - r**3/3 + 5. What is the third derivative of o(i) wrt i?
48*i
Let o(n) = 17*n**3 + 5*n**2 + 29*n - 5. Let c(u) = 9*u**3 + 2*u**2 + 14*u - 2. Let w(d) = -5*c(d) + 2*o(d). What is the second derivative of w(a) wrt a?
-66*a
Differentiate -2 + 31 - 3 - 16 - 11*p with respect to p.
-11
Let h = -3 - -3. Suppose h = 2*x - 2*p + 4, 2*p = p + 5. What is the third derivative of 4*j**2 + 2*j**3 + j**3 + j**x - 5*j**3 wrt j?
-6
Let i(w) = w**2 + 3*w - 2. Let v be (-9)/(-4)*16/(-6). Suppose 12 = -5*j + 32. Let y(d) = d**2 + 2*d - 1. Let a(h) = j*i(h) + v*y(h). Differentiate a(m) wrt m.
-4*m
Let z = 107/264 + -4/11. Let w(t) be the third derivative of 0*t - t**2 + 0*t**3 - z*t**4 + 1/60*t**5 + 0. What is the second derivative of w(b) wrt b?
2
Let b = 9 + -5. What is the third derivative of -s - 3*s**2 + s**3 + 5*s - b*s wrt s?
6
Let g(o) = 44*o - 63. Let k(u) = -11*u + 16. Let s(c) = 2*g(c) + 9*k(c). Differentiate s(l) with respect to l.
-11
Let p(r) = -r + 2. Let g be p(-3). What is the second derivative of 6*n**5 + 2*n + 0*n**4 - 8*n**g + 0*n**4 wrt n?
-40*n**3
Let q(r) = 10*r - r + 5*r**3 + 8*r**2 + 2*r - 14*r**3. Let c(i) = 3*i**3 - 3*i**2 - 4*i. Let g(a) = -11*c(a) - 4*q(a). Find the third derivative of g(s) wrt s.
18
Let g(l) = l**4 + l**2 + 1. Let k(y) = 3*y**4 - 3*y**2 - 4. Let i(a) = -3*g(a) - k(a). Differentiate i(z) with respect to z.
-24*z**3
Let y(s) = 1. Let i(d) = d + 2 + 4*d**2 + 0*d**2 - 6*d**2 + 4. Suppose -16 = 5*f + 14. Let w(j) = f*y(j) + i(j). What is the second derivative of w(n) wrt n?
-4
Let g(l) = -13*l**4 + 6*l**3 + 3*l**2. Let n(r) = 38*r**4 - 17*r**3 - 8*r**2. Let u(k) = -17*g(k) - 6*n(k). What is the third derivative of u(m) wrt m?
-168*m
Let l(i) = -i**2 - i. Let f(p) = -5*p**2 - p. Let u(y) = -f(y) - 6*l(y). Find the second derivative of u(d) wrt d.
22
Let v be (-10)/4*18/(-15). Let n(a) = -a**2 - 5*a - 3. Let y be n(-2). What is the third derivative of v*b**2 + b**4 - y*b**2 + 2*b**2 wrt b?
24*b
Suppose -10 = -8*r + 3*r. Find the second derivative of 0*c + 0*c**2 - 3*c - c**r - 2*c**2 wrt c.
-6
Suppose -24 = -5*j - 2*q, -3*j + 2 = -5*q - 0. Suppose -2*h - 4*v - v - 15 = 0, -2*v - 6 = -2*h. Differentiate h*f**j + 1 - f**4 + 2*f**4 with respect to f.
4*f**3
Let l(z) = 7*z**3 + 2*z**2 + 10. Let f(w) = 7*w**3 + 3*w**2 + 9. Let y(v) = -2*f(v) + 3*l(v). Differentiate y(a) with respect to a.
21*a**2
Suppose 0 = -0*r - 4*r + 8. Suppose -2*y + 6 = 0, -r*y = 3*u + 2*u - 26. What is the derivative of q - u*q + q + 1 wrt q?
-2
Suppose -12 = -2*p - p. Let d(k) = k**3 - 2*k**2 + 2*k. Let j be d(2). Find the third derivative of -c**2 + j*c**2 - 2*c**p - c**2 wrt c.
-48*c
Let v be (-8)/12 - 40/(-15). Find the third derivative of 74*x**2 + x**4 - 7*x**4 - 42*x**2 - 37*x**v wrt x.
-144*x
What is the second derivative of -2*s**2 - 6*s - 4*s + 3*s wrt s?
-4
Let c(l) = -l + 11. Let d = -13 + 21. Let m be c(d). What is the third derivative of -5*s**3 - s**2 + m*s**3 + 3*s**2 wrt s?
-12
Suppose 0*y - 5*y = 0. Suppose -w - w + 8 = y. Find the third derivative of 3*r**4 + 2*r**2 + 0*r**4 - r**w wrt r.
48*r
Let o = 11 + -8. What is the third derivative of 2*a**2 - 3*a**4 + o*a**2 + 5*a**4 - 2*a**2 wrt a?
48*a
Let k(y) = -9*y**5 - 3*y**4 + 2*y**2 + 3*y - 3. Let b(q) = q**5 + q**4 + q**2 - q + 1. Let h(r) = 3*b(r) + k(r). What is the third derivative of h(m) wrt m?
-360*m**2
Suppose 25 = -d + 6*d. Suppose d*h - 3 = 22. Find the third derivative of 0*y**3 + 0*y**3 + 2*y**2 - y**h wrt y.
-60*y**2
What is the second derivative of 41*q + 311*q**4 + 0 + 0 - 318*q**4 wrt q?
-84*q**2
Let c(i) = -66*i + 75. Let p(q) = -22*q + 25. Let w(n) = -4*c(n) + 11*p(n). Differentiate w(y) wrt y.
22
Let f(u) = -u**3 + 7*u**2 - 5*u - 3. Let g be f(4). Suppose g - 5 = 5*z. Differentiate a**4 + 3*a**4 - 2 - 7*a**z wrt a.
-12*a**3
What is the derivative of 19 - 5 + 7*b**3 + 3*b - 3*b wrt b?
21*b**2
Let f(o) be the third derivative of 0 - 5*o**2 + 0*o + 0*o**3 + 0*o**7 + 1/12*o**5 - 1/112*o**8 + 0*o**4 + 0*o**6. What is the third derivative of f(b) wrt b?
-180*b**2
Suppose 0 = 3*v - 2*v - 5. Find the second derivative of i - v*i + 3*i + i**2 wrt i.
2
Let t(q) be the second derivative of 0*q**2 + q + 1/3*q**4 + 0 - 1/6*q**3. What is the second derivative of t(u) wrt u?
8
What is the third derivative of 4*w - 5*w + 3*w**3 + 3*w**2 + w wrt w?
18
Let g(d) = d**2 - d + 2. Let q be g(2). Let h = q + 0. Find the third derivative of 3*p**4 - p**2 - p**4 - p**6 - 2*p**h wrt p.
-120*p**3
Let n be (-2)/5 - 141/(-15). Suppose 4*k - 4*l = 44, -k + 5*l + 8 = -11. What is the second derivative of 2*s**2 - k + n - 2*s wrt s?
4
Let r be (-4)/(((-1)/2)/1). Differentiate -r*g + 5*g + 3*g + 4*g**3 + 5 with respect to g.
12*g**2
Suppose 5 = 6*j - 7. What is the third derivative of 6 - x**j - 8*x**3 - 6 wrt x?
-48
Let s(y) be the third derivative of 2*y**2 + 1/3*y**3 + 0*y + 1/12*y**4 + 0. What is the first derivative of s(a) wrt a?
2
What is the second derivative of b - 36*b**2 + 33*b**2 - 3*b wrt b?
-6
Differentiate 31*s**2 - 99*s**2 + 41*s**2 + 8 wrt s.
-54*s
What is the derivative of -1 + 3 - 5 - 2 + 9*a**3 wrt a?
27*a**2
Let n(f) = 1. Let c(q) = 5. Let z(i) = -i - 21. Let j(w) = -18*c(w) - 4*z(w). Let l(y) = -j(y) - 8*n(y). What is the derivative of l(v) wrt v?
-4
Let z = 2 + 1. Find the first derivative of -3 - 11*x**3 + 0 + 2*x**4 + 11*x**z wrt x.
8*x**3
Let c(q) = 24*q**4 - 8*q**3 - 11*q - 8. Let y(n) = -8*n**4 + 3*n**3 + 4*n + 3. Let h(i) = 3*c(i) + 8*y(i). Find the second derivative of h(f) wrt f.
96*f**2
Let a(v) = 5*v + 3*v + 3 - v**3 - 4*v - 4*v**2. Let i(q) = 5*q**2 - 5*q - 2. Let g(k) = 5*a(k) + 4*i(k). What is the derivative of g(p) wrt p?
-15*p**2
Let l(k) be the second derivative of k**5/10 - k**3/6 + k. Find the second derivative of l(w) wrt w.
12*w
Let h(i) be the second derivative of -4*i**7/7 - i**3/2 + 25*i. What is the second derivative of h(b) wrt b?
-480*b**3
Let d = 2 - 0. What is the third derivative of -2*z**3 + d*z**3 - 2*z**4 + z**2 wrt z?
-48*z
Let a(k) be the first derivative of -k**6/2 - 13*k**2/2 + 15. Find the second derivative of a(t) wrt t.
-60*t**3
Let s(c) = 3*c - 1. Let x(f) = f. Let i be x(4). Let k(z) = 1 - 6*z + z + 2*z. Let n(o) = i*s(o) + 5*k(o). Differentiate n(r) wrt r.
-3
Let x(i) be the first derivative of 33*i**7/7 - 4*i**3 + 5. Find the third derivative of x(o) wrt o.
3960*o**3
Suppose -4*d = -6*v + 2*v - 12, -d = -2*v - 1. What is the third derivative of -5*i**v + i**2 - 10*i**4 + 0*i**2 wrt i?
-240*i
Let m(w) be the first derivative of w**4 - 1 - 9*w**2 + 9*w**2 - 7*w - 1. Differentiate m(p) with respect to p.
12*p**2
Suppose -10*z + 7*z + 60 = 0. Find the third derivative of 6*u**4 - 4*u**2 + 20 - z wrt u.
144*u
Let x be 9/(-3) + 6 + 0. Differentiate x + 9*i**2 + 2 - 3*i**2 wrt i.
12*i
Let j(v) = -20*v**4 - 16*v**2 + 16*v + 44. Let h(a) = -4*a**4 - 3*a**2 + 3*a + 9. Let w(i) = 16*h(i) - 3*j(i). Differentiate w(k) wrt k.
-16*k**3
Suppose 45*b - 2 = 44*b. Let g(d) be the first derivative of -d + 3/5*d**5 + 0*d**3 + 3 + 0*d**4 + 0*d**b. Differentiate g(k) wrt k.
12*k**3
What is the second derivative of -11*t**2 - 2 + 9*t + 2 + 12*t**2 wrt t?
2
Let c(i) be the third derivative of i**9/7560 - i**7/1260 - i**4/8 - 2*i**2. Let k(b) be the second derivative of c(b). Find the third derivative of k(o) wrt o.
48*o
Suppose 4*z = k + 22, k + 3 + 13 = 3*z. Find the third derivative of o**4 - 3*o**z + o**2 - o**4 wrt o.
-360*o**3
Suppose -3*p = 2*p + 3*o + 2, -3*p - 5*o - 14 = 0. Let j(u) be the third derivative 