w?
62
Let i(n) = -n**2 + 5*n - 2. Let j be i(3). Let d(z) = z**2 - 4*z + 5. Let g be d(j). Find the third derivative of -g + 5 + 0 + 4*c**5 - 3*c**2 wrt c.
240*c**2
Let d(h) be the second derivative of -h**4/3 + 5*h**3/2 + 12*h. What is the second derivative of d(v) wrt v?
-8
Let o(n) be the first derivative of 0*n + 0*n**4 - 4/5*n**5 + 4 - 1/3*n**3 + 0*n**2. Find the third derivative of o(f) wrt f.
-96*f
Suppose 8*h - 4 = 4*h. Differentiate 4 - 3*w**2 + h - 3 + w**2 wrt w.
-4*w
Let w(n) = n**2 + 8*n + 9. Let v be w(-7). What is the second derivative of -13*l**2 + 2*l + 13*l**v - 2*l**3 - 3*l wrt l?
-12*l
Let c(l) be the second derivative of l**7/7 - 5*l**3/3 - 6*l. What is the second derivative of c(u) wrt u?
120*u**3
Let i(t) be the first derivative of -t**8/336 + t**5/60 + t**2/2 - 2. Let r(z) be the second derivative of i(z). Find the third derivative of r(p) wrt p.
-60*p**2
Let d(w) = w - 3. Let b be d(2). Let q be -5 - -4 - (b - 3). Differentiate -2 - 4*s - s + q*s with respect to s.
-2
Suppose 3*g - 4*h - 3 = -7*h, -2*g - 2 = 3*h. Suppose -p + 2 = -2. What is the second derivative of -i + p*i**3 - g*i**3 + 2*i**3 wrt i?
6*i
Suppose 0 = 3*h - 5 - 7. Find the second derivative of 2*y - 3*y + h*y - y + y**5 wrt y.
20*y**3
Let k(c) be the first derivative of 0*c**5 + 1/2*c**2 - 7/6*c**6 + 0*c**3 + 5 + 0*c + 0*c**4. What is the second derivative of k(w) wrt w?
-140*w**3
Let d(l) be the first derivative of -19*l**5/5 + 8*l**3/3 + 18. What is the third derivative of d(t) wrt t?
-456*t
Suppose 6*s - 5 = 7. Find the first derivative of -4*k**s - 57*k + 8 + 57*k wrt k.
-8*k
Find the third derivative of 10*o**4 - 301 - 9*o**2 + 301 wrt o.
240*o
Let c(i) be the third derivative of 0*i**4 + 0*i**6 - 1/20*i**5 + 3*i**2 + 0*i**3 + 0 - 1/168*i**8 + 0*i**7 + 0*i. What is the third derivative of c(m) wrt m?
-120*m**2
Let m(y) = y**4 - 4*y**3 + 8*y + 4. Let g(o) = o**4 - 3*o**3 + 7*o + 3. Let x(k) = 4*g(k) - 3*m(k). Find the second derivative of x(c) wrt c.
12*c**2
Let i(n) be the second derivative of -n**4/2 + 3*n**3/2 - 3*n. Find the second derivative of i(y) wrt y.
-12
Let v(w) = -w**2 + 4*w + 2. Let x be v(4). Find the third derivative of 2*z**6 + 3*z**2 - 2*z**4 - z**6 + x*z**4 wrt z.
120*z**3
Differentiate 3*m - 3*m + 3 + 5*m**4 wrt m.
20*m**3
Let y = 1/118 + 88/59. Let i(p) be the second derivative of -3*p + 0 - 2/3*p**3 + y*p**2. Differentiate i(m) with respect to m.
-4
Let y(w) = -7*w + 12. Let k(h) = 15*h - 25. Let p(t) = -3*k(t) - 7*y(t). What is the first derivative of p(i) wrt i?
4
Find the third derivative of 14*l**3 - 7 - 7 - 15*l**2 + 14 wrt l.
84
Let g be 2/(-3) + (-55)/(-15). Let b be (4 - 6/g) + 0. Find the third derivative of -5*k**3 + k**3 - 2*k**2 + b*k**3 wrt k.
-12
Suppose 5*s - 7 = -0*s - g, -2*s + 10 = -2*g. What is the third derivative of -j**s + 1 - 3 + j**6 + 2 wrt j?
120*j**3
Let k = -3 - -3. Suppose -5*r + r + 24 = k. What is the third derivative of -2*s**2 + 4*s**2 - 3*s**6 + s**r wrt s?
-240*s**3
Let o(x) be the second derivative of 0 - 5*x - 1/7*x**7 + 0*x**6 + 0*x**2 + 0*x**5 + 0*x**4 - 2/3*x**3. Find the second derivative of o(d) wrt d.
-120*d**3
Let h(b) be the third derivative of -b**6/24 - 11*b**3/6 + 22*b**2. What is the first derivative of h(w) wrt w?
-15*w**2
Let w(z) be the third derivative of 0*z**6 + 0*z**4 + 0*z - z**2 + 1/20*z**5 + 1/105*z**7 + 0 + 0*z**3. Find the third derivative of w(n) wrt n.
48*n
Differentiate -11 - 12*c**2 - 22*c**2 + 0 - 12 wrt c.
-68*c
Let u = -3 + 3. Let k be -3 + 1 - -2 - u. Find the third derivative of k*y**3 - 4*y**3 - 2*y**2 + 7*y**3 wrt y.
18
Suppose -4 = -0*v - v - w, v - 4*w - 19 = 0. Suppose 0 = -2*t - 1 + v. Find the third derivative of 2*r**3 - 4*r**2 + 9*r**2 - t*r**2 wrt r.
12
Let t = -7 - -12. What is the third derivative of -2*m**2 + 20*m**t + 0*m**2 - 16*m**5 wrt m?
240*m**2
Let w(m) = 4*m**2 + m + 1. Let l(r) = -r - 1 + r - r**2. Let j = 16 - 17. Let d(v) = j*w(v) - l(v). What is the second derivative of d(g) wrt g?
-6
Let z(d) be the second derivative of -4*d + 0 + 1/15*d**6 + 0*d**2 + 0*d**3 + 0*d**5 - 1/4*d**4. What is the third derivative of z(j) wrt j?
48*j
Let p be 0*((-15)/6)/5. Suppose 5*s = p, -s + 6 - 2 = 2*g. Find the second derivative of j**2 + 2*j**2 - g*j + 0*j**2 + 4*j wrt j.
6
Suppose 0 = -4*m + 4, 2*r - 5*m = 2 + 11. Differentiate 3*b**4 - 2 - 3 + r with respect to b.
12*b**3
Find the third derivative of 5*n**4 - 6*n**6 + 9*n**5 + 7*n**6 - 14*n - 9*n**5 + 3*n**2 wrt n.
120*n**3 + 120*n
Let y(s) = -52*s**4 - s - 19. Let t(j) = -51*j**4 - 2*j - 19. Let d(x) = -3*t(x) + 4*y(x). What is the second derivative of d(c) wrt c?
-660*c**2
Let t = 9 - 5. Differentiate -4*k**t + 0 + 5*k**4 + 3 with respect to k.
4*k**3
Let o(p) = p**3 + 3*p**2 - 5*p - 1. Let d be o(-4). Differentiate 0 - 3 + s - d*s + 2 wrt s.
-2
Let w(j) = 5*j**2 - 14*j + 17*j - 2 - 2*j**2 + 0*j**2. Let s(i) = -3*i**2 - 4*i + 2. Let r(k) = -3*s(k) - 4*w(k). What is the derivative of r(v) wrt v?
-6*v
Let z(i) = i**2 - 8*i - 6. Let u be z(9). What is the third derivative of -3*f**2 + 0*f**3 - f**2 + 6*f**5 + 0*f**u wrt f?
360*f**2
Let y(g) be the first derivative of -1/2*g**2 + 1/4*g**4 + 2*g - 1 + 0*g**3. Let z(k) be the first derivative of y(k). Find the first derivative of z(t) wrt t.
6*t
Find the second derivative of -h - h + 0*h + h**4 + 5*h wrt h.
12*h**2
Let f(v) = -9*v**2 - 10*v. Let j(u) = 5*u - 2*u**2 - u**2 - u - 7*u. Let q(h) = 3*f(h) - 8*j(h). What is the second derivative of q(z) wrt z?
-6
Find the first derivative of -7 - 22*f**3 + 29*f**3 + 14 wrt f.
21*f**2
Let c(j) = 2*j**2 + 2*j - 2. Let b be c(-2). Suppose 0 = 2*u - 0*u - 5*a + b, 3*a = 5*u - 14. Differentiate 2*n**4 + 2*n**u + 0*n**4 - 4 with respect to n.
16*n**3
Suppose -2*k = -5*k. Differentiate -2 + 7*l**3 + 0*l**2 + k*l**2 - 1 with respect to l.
21*l**2
Let l(v) = v**2 - 6*v - 3. Let d be l(6). Let x be 2/(-1 - d)*2. What is the second derivative of -2*t**x - 2*t + 5*t**2 + 0*t**2 wrt t?
6
Find the second derivative of 7*f + 3*f**4 - 7*f**5 - 16*f - 3*f**4 wrt f.
-140*f**3
Suppose -v - 9 = -4*v. Find the third derivative of 2*f**v - 2*f**3 + 3*f**2 + f**5 wrt f.
60*f**2
Let v(o) = 2*o**2 - 13*o. Let x(t) = 2*t + 3*t**2 + 0*t - 4*t**2 + 2*t. Let q(y) = 2*v(y) + 7*x(y). Find the second derivative of q(k) wrt k.
-6
Let z(t) = -t - 6. Let n be z(-10). Suppose 3 + 7 = -n*j - 5*w, -4*w = 2*j + 8. What is the first derivative of j*d - 5 - d + 5*d + d wrt d?
5
Let n(f) = -6*f**4 - 6*f**3 + 7*f + 6. Let p = 16 - 10. Let r(h) = -h**3 + h + 1. Let o(j) = p*r(j) - n(j). What is the second derivative of o(a) wrt a?
72*a**2
Find the third derivative of -4*r**2 - r**5 + 3*r**2 - r**5 - 4*r**2 wrt r.
-120*r**2
Let j = 1 + 1. Suppose p - 6 = -j*p. What is the second derivative of 0 - p*v + 0 - 2*v**2 wrt v?
-4
Let p be 14/35 + (-3)/8. Let g(f) be the third derivative of 0 + 2*f**2 + p*f**6 + 0*f**3 - 1/24*f**4 + 0*f + 0*f**5. Find the second derivative of g(h) wrt h.
18*h
Let q(f) = -8*f**4 - 7*f - 5. Let s(y) = 4*y**3 - 4*y**3 + 8 + 12*y**4 + 11*y. Let h(p) = 8*q(p) + 5*s(p). What is the second derivative of h(o) wrt o?
-48*o**2
Let c(d) be the third derivative of d**7/21 + 31*d**4/24 + 3*d**2. Find the second derivative of c(m) wrt m.
120*m**2
Suppose 5*k + 11 = 36. Let m(y) = -y**3 - 3*y**2 - 3*y - 4. Let c be m(-3). What is the third derivative of 2*f**c - 2*f**k + f**2 - f**5 wrt f?
-60*f**2
Let i(b) be the third derivative of 0*b - 3*b**2 - 1/8*b**4 + 0 - 1/6*b**3. Find the first derivative of i(a) wrt a.
-3
Let i(v) = v**3 + 6*v**2 + 3*v. Let l be i(-4). Suppose 0 = 2*k - 7*k + l. What is the second derivative of -2*u - u**4 + u + 0*u**k wrt u?
-12*u**2
Let s = -7 + 10. Find the third derivative of 11*m**3 - 11*m**s + 2*m**5 + m**2 wrt m.
120*m**2
Let n(c) be the third derivative of c**6/10 + 5*c**3/3 + 7*c**2. What is the derivative of n(q) wrt q?
36*q**2
Suppose x = -2*x + 6. Suppose -2*t = 4*k + 10, -x*t + k = -0*k - 5. Find the first derivative of -t - 2 + 2 - 2*y**3 wrt y.
-6*y**2
Let n be 4*9/(-24)*-2. Let m be -4*((-6)/4 - -1). What is the second derivative of h + 2*h**m + 0*h**2 + n*h wrt h?
4
Let z(u) be the third derivative of -11*u**6/120 - 3*u**5/10 + 11*u**2. What is the third derivative of z(s) wrt s?
-66
Suppose