96*z
Let b(q) = q**2. Let v be b(-2). Suppose -2*o + 6 = z - 2, -2*z - 5 = -3*o. What is the third derivative of -o*c**5 - c**2 - 5*c**v + 5*c**4 wrt c?
-180*c**2
Let d(m) be the second derivative of m - 1/2*m**2 + 0 + 1/6*m**3. What is the first derivative of d(k) wrt k?
1
Let l(f) be the third derivative of f**6/12 + 4*f**3/3 - 32*f**2. What is the first derivative of l(m) wrt m?
30*m**2
Let a(q) = -14*q - 2. Let p be a(3). Let t be p/(-10) + (-4)/10. Differentiate -2 - 3*s + 4*s - t*s wrt s.
-3
Let t(z) be the third derivative of -z**8/168 + z**5/60 - 11*z**2. What is the third derivative of t(i) wrt i?
-120*i**2
Let p(s) be the first derivative of s**8/336 - s**5/20 + 8*s**3/3 - 3. Let l(w) be the third derivative of p(w). What is the second derivative of l(g) wrt g?
60*g**2
Let j(n) = -7*n**4 - 6*n**3 + 6*n - 11. Let k(l) = -7*l**4 - 5*l**3 + 5*l - 10. Let d(q) = -5*j(q) + 6*k(q). Find the first derivative of d(v) wrt v.
-28*v**3
Suppose 6*c - 3*c = -p + 13, 3 = -p + c. Suppose -p = -2*q + q. What is the derivative of n**3 + 5 - q - 1 wrt n?
3*n**2
Suppose -18 - 12 = -3*x. Let k = -6 + x. What is the derivative of 2*s - 5 + 0 + k wrt s?
2
Find the second derivative of -20*f**4 - 26*f**4 + 46*f**4 + 28*f + 3*f**5 wrt f.
60*f**3
Let q(z) = z**4 + z**3 - z**2 + z - 1. Let b(g) = 8*g**4 + 5*g**3 - 5*g**2 + 5*g - 6. Let d(h) = -2*b(h) + 10*q(h). Differentiate d(c) wrt c.
-24*c**3
Let v(z) = z**2 + z + 1. Let d be v(-1). Find the first derivative of q + 1 - d - 3 wrt q.
1
Let w be 1*0*2/(-6). What is the second derivative of s + w*s**3 - 3*s - 3*s**3 + 0*s**3 wrt s?
-18*s
Let h(i) = -i**3 + 4*i**2 + 6*i - 2. Let q be h(5). Find the second derivative of -6 - 5*g**3 + 6 - q*g wrt g.
-30*g
Let c be ((-1)/(-2))/((-2)/(-16)). Suppose 6 = c*d - 2. What is the third derivative of -o**4 + 4*o**2 - d*o**2 + 3*o**4 wrt o?
48*o
Let w(a) = -13*a - 7. Let g(f) = -1. Let c(b) = -10*g(b) + 2*w(b). What is the first derivative of c(z) wrt z?
-26
Let h = -17/1320 + 5/132. Let q(s) be the third derivative of 0 + 2*s**2 + 0*s**3 + 0*s**5 + 1/8*s**4 - h*s**6 + 0*s. Find the second derivative of q(r) wrt r.
-18*r
Let n(v) = -v**2 - 7*v. Let p be n(-7). What is the second derivative of p*l**3 - 3*l + 2*l**5 + 0*l**3 + l**5 wrt l?
60*l**3
Let d(o) be the second derivative of -11*o**8/56 + 7*o**4/6 - 15*o. Find the third derivative of d(p) wrt p.
-1320*p**3
Let t(v) = v**2 + 5*v - 11. Let f be t(-8). Let s = f - 8. What is the third derivative of 2*o**3 - 2*o**3 - 2*o**2 + o**s wrt o?
60*o**2
Find the first derivative of 5*t - 5 + 3 + t - 2*t wrt t.
4
Let u(y) be the first derivative of -y**6/3 - 13*y**5/5 - 5*y**3/3 - 6*y - 36. What is the third derivative of u(m) wrt m?
-120*m**2 - 312*m
Let x(v) be the third derivative of 3*v**7/70 + 19*v**4/24 + 12*v**2. Find the second derivative of x(g) wrt g.
108*g**2
Suppose -5*n - 55 = -0. Let m = -8 - n. Find the second derivative of 3 + 2*t**4 - m - t wrt t.
24*t**2
Let m(x) be the third derivative of -x**6/40 - x**3/2 - 3*x**2. Find the first derivative of m(p) wrt p.
-9*p**2
Let y(f) be the second derivative of f**6/360 - f**5/15 - f**4/12 - 5*f. Let g(w) be the third derivative of y(w). What is the derivative of g(h) wrt h?
2
Let y = -5 + 10. Suppose -s = -5*q + 4*s + 25, 0 = -2*q + y*s + 13. Find the second derivative of 0*h + 4*h - h**q - 3*h + 3*h**4 wrt h.
24*h**2
Let h(q) be the first derivative of 3*q**5/5 - q**2/2 - 5*q + 6. What is the second derivative of h(p) wrt p?
36*p**2
Let q(n) = -26*n + 1. Let l(y) be the third derivative of 5*y**4/24 - 3*y**2. Let k(t) = -11*l(t) - 2*q(t). Differentiate k(u) with respect to u.
-3
Let q(k) be the first derivative of 2*k**5/5 + 9*k**4/2 + 39*k + 58. What is the first derivative of q(f) wrt f?
8*f**3 + 54*f**2
Let o(y) = 3*y**2 - 7*y. Let m(u) = -8*u**2 + 20*u. Let c(q) = 6*m(q) + 17*o(q). Find the second derivative of c(n) wrt n.
6
Find the second derivative of -19*d - 3*d**2 + 10*d + 8*d wrt d.
-6
Let i = 7 + -3. What is the first derivative of 7*t - 5 - 2*t + 2 - i*t wrt t?
1
What is the third derivative of -4*s**3 - 41*s - 4*s**2 - 8*s**4 - 5*s**2 + 7*s**2 + 0*s**4 wrt s?
-192*s - 24
Let l(y) = 4*y**4 + 5*y + 20. Let x(j) = -j**4 - j + 1. Let o(v) = -l(v) - 5*x(v). What is the first derivative of o(d) wrt d?
4*d**3
Suppose -m - 5*j + 13 = 0, -3*m - 3*j = 2*j - 19. Find the second derivative of 4*o + 0*o**3 - 2*o**3 + 2*o**m + 3*o**4 wrt o.
36*o**2
Let y(x) be the third derivative of x**7/70 - x**3/2 - 4*x**2. Find the first derivative of y(l) wrt l.
12*l**3
Let p(r) = r**4 - r**3 + r**2 + r. Let k(x) = 27*x**4 - 4*x**3 + 4*x**2 - 18*x. Let h(t) = k(t) - 4*p(t). Find the second derivative of h(m) wrt m.
276*m**2
Let m be 2/7 + (-38)/(-14). What is the second derivative of 3*h + h + 6*h**m - 8*h**3 + h wrt h?
-12*h
Suppose 80 - 30 = 5*m. Suppose -25 = -m*n + 5*n. What is the second derivative of -3*t + 4*t - 2*t**4 + n*t**4 wrt t?
36*t**2
Let s(w) be the second derivative of -w + 0 + 1/6*w**3 + 7/2*w**2. What is the first derivative of s(t) wrt t?
1
Suppose 0*q = 5*y - 4*q - 16, 5*q - 21 = -4*y. What is the third derivative of o - 4*o**3 - 5*o - 3*o**2 + y*o wrt o?
-24
Find the second derivative of 4*s**2 + s**2 + 13*s - 6*s**2 wrt s.
-2
Let c(m) = -m**3 - 6*m**2 - 6. Let p be c(-6). Let g be (16/p)/((-2)/3). What is the third derivative of 3*r**2 + 0*r**2 - 3*r**2 - 3*r**g - 3*r**2 wrt r?
-72*r
Let w(i) be the second derivative of 0*i**4 + 5*i + 0*i**5 - 2/3*i**3 + 0*i**2 + 0 + 1/5*i**6. What is the second derivative of w(f) wrt f?
72*f**2
Let x(n) be the first derivative of -n**4/6 - n**2 - 2*n - 5. Let m(b) be the first derivative of x(b). What is the derivative of m(f) wrt f?
-4*f
Let i(c) be the third derivative of -1/105*c**7 + 0*c**4 + 0 + 0*c + 7*c**2 + 0*c**6 - 1/10*c**5 + 0*c**3. What is the third derivative of i(j) wrt j?
-48*j
Let w = -6 + 8. What is the third derivative of 2 - w + 2*p**6 - 7*p**2 wrt p?
240*p**3
Let b(p) be the second derivative of 11*p**8/56 + 19*p**4/12 - 14*p. Find the third derivative of b(t) wrt t.
1320*t**3
Differentiate 31 + 56*z**3 - 33*z**3 - 28*z**3 + 5 with respect to z.
-15*z**2
Let a(h) be the third derivative of -h**7/252 - h**5/15 + 5*h**4/12 - 4*h**2. Let q(k) be the second derivative of a(k). Differentiate q(j) wrt j.
-20*j
Let s(d) be the second derivative of d**5/4 + 2*d**2 - 4*d. Find the first derivative of s(v) wrt v.
15*v**2
Let y(j) be the third derivative of -2*j**4/3 - j**3 + 41*j**2. Differentiate y(u) with respect to u.
-16
Suppose -2*d - 22 = -5*q + d, -4*q + d + 19 = 0. Suppose -q*l - 8 = -33. Find the third derivative of -5*j**2 + 2*j**l - j**5 + 3*j**2 wrt j.
60*j**2
Let r(p) = p**2 + 9*p + 10. Let a be r(-8). What is the first derivative of 0 + a - 4 - 2*o - 1 wrt o?
-2
Let o = -11 - -12. What is the derivative of 3*j + o - 3*j + 4*j**4 wrt j?
16*j**3
Let o = -6 + 4. Let j be 6/4 - o/4. What is the third derivative of -w**2 + j + w**4 - 2 wrt w?
24*w
Let j(l) be the third derivative of l**5/40 - l**4/8 + l**3/2 - l**2. Let o(i) be the first derivative of j(i). Differentiate o(s) wrt s.
3
Differentiate 1 - 1 - 6 + 0 + 9*b**2 wrt b.
18*b
Let m(j) = 24*j**3 + 3*j**2 - 34*j - 3. Let h(y) = -25*y**3 - 2*y**2 + 34*y + 2. Let z(g) = 3*h(g) + 2*m(g). Find the second derivative of z(q) wrt q.
-162*q
Let k(t) be the second derivative of -t**2/2 - t. Let w(q) = 3*q**2 + q + 6. Let m(x) = 6*k(x) + w(x). Find the second derivative of m(o) wrt o.
6
Let o(m) be the third derivative of m**5/6 + m**4/12 + 13*m**3/2 + 14*m**2. What is the first derivative of o(j) wrt j?
20*j + 2
Let u(t) be the third derivative of -21*t**4/8 + 28*t**3/3 - 19*t**2. Differentiate u(s) wrt s.
-63
Suppose 4*h = -0*t + 4*t, 5*h = -t. Suppose 3*y = -t*y + 15. What is the third derivative of 3*v**3 + 4*v**5 - y*v**2 + 6*v**2 - 3*v**3 wrt v?
240*v**2
Find the third derivative of 3*d**2 + 15*d**6 + 8*d**4 - 8*d**4 + 5*d**6 wrt d.
2400*d**3
Let s(b) = -b + 13. Let q be s(9). Let u(p) = p**3 + 4*p**2 + 3*p. Let t be u(-2). Find the third derivative of -4*x**4 - x**2 + 0*x**2 + x**q + 3*x**t wrt x.
-72*x
Let m be (-5)/(-1)*(9 + -8). What is the second derivative of -30*v**2 + 0*v + 30*v**2 - 9*v**m + 5*v wrt v?
-180*v**3
Let w = -17 + 22. What is the 