- d = 12, 3*z - 55 = -2*z + 4*d. What is the third derivative of -2*n**5 + 5*n**2 + 12*n**5 - z*n**5 wrt n?
180*n**2
Let m(c) = 5*c**5 + 2*c**3 + 3*c**2 + 2. Let x(b) = -26*b**5 - 11*b**3 - 16*b**2 - 11. Let v(l) = -11*m(l) - 2*x(l). What is the third derivative of v(w) wrt w?
-180*w**2
Let m be 9/(-12) - (-44)/16. What is the third derivative of m*v**3 + 3*v**4 - 2*v**3 - v**4 + 4*v**2 wrt v?
48*v
Let l(v) be the third derivative of -v**6/20 - v**5/30 - 3*v**2. Find the third derivative of l(m) wrt m.
-36
What is the derivative of 6*q - 8*q + 14*q + 7 wrt q?
12
Let d(j) = 2*j**2 - 3*j. Let x be d(2). Suppose 3 = -6*f + 2*f + 3*s, -3*f + x = 2*s. What is the second derivative of f*l + l**2 + l - 3*l**2 wrt l?
-4
Let o(g) be the third derivative of 16*g**7/105 + 3*g**4/4 + 31*g**2. Find the second derivative of o(i) wrt i.
384*i**2
What is the second derivative of 4 - 4 - 3*c**4 - 3*c wrt c?
-36*c**2
Let m(k) be the first derivative of -5*k**6/3 + 11*k**2/2 - 10. What is the second derivative of m(c) wrt c?
-200*c**3
Let d(r) be the second derivative of r**6/10 + r**2/2 + 11*r. Differentiate d(t) with respect to t.
12*t**3
Let y(j) = 5*j**3 - 5*j**2 + 5*j + 31. Let z(v) = -14*v**3 + 16*v**2 - 16*v - 92. Let m(k) = -16*y(k) - 5*z(k). What is the first derivative of m(u) wrt u?
-30*u**2
Let b(a) be the second derivative of a**8/28 + a**4/2 + a. Find the third derivative of b(u) wrt u.
240*u**3
Let k(h) be the first derivative of -3/7*h**7 + 0*h**2 + h**3 + 0*h + 0*h**6 + 0*h**5 + 0*h**4 + 2. Find the third derivative of k(m) wrt m.
-360*m**3
What is the third derivative of 54*z**4 + 37*z**2 + 33*z**5 - 54*z**4 wrt z?
1980*z**2
Suppose 5*t + 8 = -2. Let m be (4/5)/(t/(-10)). Find the second derivative of 2*v**4 + v**m - v - 4*v**4 wrt v.
-12*v**2
Let y(c) = 0 - 4 - c + 3. Let x be y(-7). What is the third derivative of -5*v**6 + v**2 + 4*v**6 + 2*v**x + 2*v**2 wrt v?
120*v**3
Let q(y) = 35*y**5 - 4*y**4 - 12*y. Let p(h) = 35*h**5 - 3*h**4 - 13*h. Let o(j) = 4*p(j) - 3*q(j). Find the second derivative of o(g) wrt g.
700*g**3
Let l(w) = 7 - 3*w**2 - w**4 + 1 - 7. Let k(v) = -4*v**4 + 4*v**4 - v**2 + 1 - v**4. Let c(u) = -3*k(u) + l(u). Find the first derivative of c(z) wrt z.
8*z**3
Let c(x) be the first derivative of 0*x**3 - 7/4*x**4 + 1/2*x**2 + 0*x - 5. What is the second derivative of c(h) wrt h?
-42*h
What is the first derivative of 5 + 3*t**2 + 114*t - 114*t wrt t?
6*t
Let s(f) be the second derivative of -33*f**5/20 - 5*f**4/2 - 59*f. What is the third derivative of s(q) wrt q?
-198
Let w(b) be the first derivative of 11*b**5/5 + 3*b + 5. What is the derivative of w(m) wrt m?
44*m**3
Let n(j) be the third derivative of -j**9/7560 - j**5/40 + j**4/12 - 3*j**2. Let s(x) be the second derivative of n(x). Differentiate s(z) with respect to z.
-8*z**3
Differentiate -45*j + 19 - 83 + 2*j + 1 with respect to j.
-43
Let c(i) = i**2 - 3*i - 4. Let n be c(4). Let z = 4 - 2. Find the second derivative of z*d**3 + d + 0*d + n*d**3 wrt d.
12*d
Let r(y) = 6*y**3 - 16. Let h be 4/(2*(-2)/(-4)). Let w(l) = -l**3 + 3. Let z(v) = h*r(v) + 22*w(v). What is the first derivative of z(m) wrt m?
6*m**2
Let g(f) = -18*f**2 - 2*f. Let h(m) = 17*m**2 + 3*m. Let i(t) = 6*g(t) + 5*h(t). What is the second derivative of i(n) wrt n?
-46
Suppose 3*r = 1 + 29. Let q = -6 + r. What is the third derivative of -u**2 - u**q - 3*u**2 - u**4 wrt u?
-48*u
Let m(u) = 22*u**5 - 2*u**3 + 16*u**2. Let p(c) = -45*c**5 + 5*c**3 - 32*c**2. Let v(t) = -5*m(t) - 2*p(t). What is the third derivative of v(x) wrt x?
-1200*x**2
Let p(i) be the first derivative of 19*i**4/4 + 8*i**3/3 - 20. Find the third derivative of p(k) wrt k.
114
Suppose 2*r + f = r - 3, 3*f + 19 = 2*r. Let o(v) = -v + 2. Let u be o(r). What is the second derivative of 3*p**3 + p + u*p**3 - 5*p**3 wrt p?
-12*p
Let i(p) = -6 + 3 - p**2 + 4 - p + p**3. Let t be (-11)/3 - 18/(-27). Let o(a) = 4*a**3 - 3*a**2 - 3*a + 2. Let f(b) = t*i(b) + o(b). Differentiate f(w) wrt w.
3*w**2
Let b(v) be the third derivative of 0*v - 1/42*v**7 + 4*v**2 + 1/60*v**5 + 0*v**4 + 0 + 0*v**3 + 0*v**6. What is the third derivative of b(j) wrt j?
-120*j
Let r(x) = 12*x**3 + 8*x**2 + 214. Let b(f) = -4*f**3 - 3*f**2 - 71. Let g(m) = 8*b(m) + 3*r(m). Find the first derivative of g(w) wrt w.
12*w**2
Let t(j) be the third derivative of j**9/3024 - j**6/360 + j**3/3 - j**2. Let c(n) be the first derivative of t(n). Find the third derivative of c(m) wrt m.
60*m**2
Let m(g) = -3*g**2 + 1. Let s(b) = 3*b**2 + 6*b**2 - 12*b**2. Let j(a) = -5*m(a) + 6*s(a). Find the first derivative of j(v) wrt v.
-6*v
Suppose -20 = 4*v + 4*k, v + 4*k + 15 = k. What is the second derivative of v*t - 3*t + 3*t**3 + 0*t wrt t?
18*t
Let l(q) be the first derivative of 7/2*q**2 + 3 - 5*q. Find the first derivative of l(d) wrt d.
7
Let a(j) = -j**2 + 10*j - 6. Let h be a(9). Differentiate -c**h + 5 + 3*c**3 + 2*c**3 with respect to c.
12*c**2
Let v = 8 - 5. Differentiate 2 + 3*w - 3*w + w**4 - v*w**4 wrt w.
-8*w**3
Let p(o) be the first derivative of o**5/120 + o**4/4 + 4*o**3/3 - 6. Let k(r) be the third derivative of p(r). What is the derivative of k(a) wrt a?
1
Let o(l) be the first derivative of l**4 - 3*l**3 + 5. Find the third derivative of o(z) wrt z.
24
Let z(k) be the second derivative of -7*k**6/30 - 3*k**2 - 3*k. Differentiate z(f) wrt f.
-28*f**3
Let o(f) be the third derivative of -f**6/15 + f**3 - 9*f**2. Differentiate o(t) wrt t.
-24*t**2
Let t(w) be the third derivative of -w**8/84 - 7*w**4/12 + 18*w**2. What is the second derivative of t(n) wrt n?
-80*n**3
Find the third derivative of 10*n**5 - 11*n**5 + 20*n**5 - 4*n**2 wrt n.
1140*n**2
Let w(p) = p**2 - 1. Let l(u) = 9*u**2 - 13. Let s(g) = -l(g) + 4*w(g). Differentiate s(v) with respect to v.
-10*v
Let u(v) = -12*v**2 - 17*v + 2. Let z(d) = -60*d**2 - 85*d + 11. Let k(c) = -11*u(c) + 2*z(c). Find the second derivative of k(m) wrt m.
24
Find the third derivative of -26*c**2 + 8*c**2 + 6*c**2 - 8*c**4 wrt c.
-192*c
Let u be -1*(-2 - (9 + -1)). Suppose -v = v - u. What is the second derivative of 3*m - 5*m**2 + v*m**2 + 4*m**2 wrt m?
8
Let w be (18/(-27))/((-2)/12). Differentiate -26*o**4 - 6 - 20*o**w + 52*o**4 wrt o.
24*o**3
Let r(m) be the first derivative of -m**5/20 + m**3/3 - m + 2. Let x(h) be the first derivative of r(h). Find the second derivative of x(i) wrt i.
-6*i
Let l(r) = 4*r + 11. Let f be ((-9)/6)/(-3)*10. Let u(x) = -f + x - x - 2*x. Let z(g) = 4*l(g) + 9*u(g). What is the first derivative of z(w) wrt w?
-2
Suppose 0 = -o + v + 4*v + 18, -4*o + 34 = -v. Find the second derivative of 5 + 2*r**2 - o - r + 3 wrt r.
4
Suppose h = -2*h. Let f(q) be the first derivative of 0*q**3 + 1/3*q**6 + 0*q**5 + h*q + 0*q**4 + 1 - 1/2*q**2. What is the second derivative of f(g) wrt g?
40*g**3
What is the second derivative of -2 + 7*o + 7*o**4 + 9 - 7 wrt o?
84*o**2
Suppose -3*i - 6*v = -v - 20, -3*v - 2 = -i. Differentiate 1 - 4 + i*h**3 + 2 wrt h.
15*h**2
Let w(l) = l**3 - 2*l**2 - 3*l + 4. Let p be w(3). What is the second derivative of -u**3 + p*u**3 - 11*u + 7*u wrt u?
18*u
Suppose -7*n - 1 + 15 = 0. Let w(u) be the second derivative of 0*u**3 + 4*u + 3/2*u**n + 1/4*u**4 + 0. Differentiate w(t) wrt t.
6*t
Suppose -3 = d - 5. Let a(b) = b - 2. Let o be a(4). What is the third derivative of -2*c**o + d*c**3 - c**3 + 0*c**2 wrt c?
6
What is the derivative of -5*q + 6*q + 1 - 22*q wrt q?
-21
Let u = 1 + -1. Let b be -2 + 1 + 1 - u. What is the second derivative of -2*p**5 + b*p - 2*p + 0*p wrt p?
-40*p**3
Let f(o) = o**2 + 5*o + 3. Let x(b) = -b**3 - b**2 + b - 5. Let v be x(0). Let w be f(v). Find the first derivative of 2 - 11*y**w + 14*y**3 - 6 wrt y.
9*y**2
Let i(s) = s**5 + s**4 + s + 1. Let g(k) = 7*k**5 + 2*k**4 + 16*k**2 + 2*k + 2. Let q(z) = g(z) - 2*i(z). What is the third derivative of q(t) wrt t?
300*t**2
Let j(x) = x**3 + x**2 + x. Let s(f) = 9*f**3 + f**2 + 50*f. Let w(o) = -3*j(o) + s(o). Find the second derivative of w(t) wrt t.
36*t - 4
Let q be (12/1)/(1/1). What is the third derivative of -12 - 3*z**3 + q - 3*z**2 wrt z?
-18
Let n(w) be the first derivative of 0*w**2 + 0*w**4 + 0*w + 4 + 0*w**5 - w**3 - 1/3*w**6. Find the third derivative of n(a) wrt a.
-120*a**2
Find the third derivative