k
Let a(f) = -3*f**3 - 5*f**2 + 3*f. Let h(b) = 3*b**3 + 4*b**2 - 2*b. Let i(m) = -4*a(m) - 6*h(m). What is the third derivative of i(j) wrt j?
-36
Let j(s) = -7*s - 52. Let w(p) = 3*p + 26. Let h(m) = -6*j(m) - 13*w(m). Find the first derivative of h(q) wrt q.
3
Let c(w) be the second derivative of -w**9/1008 - w**6/180 + w**3/3 - w. Let x(r) be the second derivative of c(r). Find the third derivative of x(v) wrt v.
-180*v**2
Let c(w) = -20*w**5 + 4*w**3 - 4*w**2 - 27*w + 4. Let b(p) = -p**5 - p**3 + p**2 + p - 1. Let m(a) = 4*b(a) + c(a). Find the second derivative of m(j) wrt j.
-480*j**3
Suppose 0 = -s + 5*r, -s = -2*r - 2*r. Let w(t) be the first derivative of s*t**3 + 2*t - 1/4*t**4 + 0*t**2 + 1. What is the first derivative of w(m) wrt m?
-3*m**2
Suppose 4*v + 8 = 0, -v = 5*h - 12 - 1. Let a(p) be the second derivative of -p**2 - 1/20*p**5 - p + 0*p**4 + 0 + 0*p**h. What is the derivative of a(k) wrt k?
-3*k**2
Let j(h) = h**2 + 4*h + 4. Let p be j(-4). Differentiate 0 + 4*a**3 + 5*a**3 - 3 + p with respect to a.
27*a**2
Let x be 3*(-2)/(-6) - -18. Suppose 0 = y + 5, x = -p - 5*y - 4. What is the third derivative of 2*t**3 + 5*t**p - 2*t**2 + 2*t**3 wrt t?
24
Let f(z) = -65*z**3 - 5*z**2 - 16*z. Let o(q) = 32*q**3 + 3*q**2 + 8*q. Let m(a) = -3*f(a) - 5*o(a). Find the second derivative of m(y) wrt y.
210*y
Find the second derivative of -112*b**2 + 46*b**2 + 15*b + 55*b**2 + 12*b wrt b.
-22
Let t(i) be the second derivative of 1/3*i**3 + 0*i**2 + 0 - 4*i - 1/3*i**4. What is the second derivative of t(v) wrt v?
-8
Let h(g) be the third derivative of 7*g**6/60 + 5*g**3/2 + 30*g**2. Find the first derivative of h(c) wrt c.
42*c**2
Find the third derivative of -20*c**5 - 8*c**2 - 9*c + 5*c + 4*c wrt c.
-1200*c**2
Let i(n) = -n**2 - 6*n + 3. Let d be i(-7). Let j = 0 - d. Differentiate 4*v + 2 - 2 - j with respect to v.
4
What is the third derivative of -10*b**2 + 2*b**6 + b**6 - 10*b**6 wrt b?
-840*b**3
What is the first derivative of 4*a**3 + 0*a**3 - 5 - 14*a**3 wrt a?
-30*a**2
Let s = -4 + 4. Suppose -3*q = s, -f - q = 2*q - 3. Find the first derivative of -3*c**f + c**3 + 2 + 0 wrt c.
-6*c**2
Let w be (0 - -1)/(4/8). What is the third derivative of -7*f**w + 0 - 6*f**3 + 0 + 2*f**2 wrt f?
-36
Let w(j) be the first derivative of 0*j + 0*j**3 + 6 + 1/4*j**4 - 2*j**2. Find the second derivative of w(f) wrt f.
6*f
Suppose 3 + 1 = g. Suppose -d - 9 = -g*d. Find the first derivative of -w**3 - 2 + 3*w**2 - d*w**2 wrt w.
-3*w**2
Let v(z) = z + 3. Let n(k) = 3. Let f = -5 - 0. Let s(b) = f*n(b) + 4*v(b). What is the first derivative of s(m) wrt m?
4
Suppose -4 + 12 = 2*z, -5*f + 4*z - 26 = 0. Let q = 0 - f. Find the second derivative of b - b**4 - 6*b**q + 6*b**2 wrt b.
-12*b**2
Let c(v) = v**2 + 6*v - 3. Let p be c(-7). Let g(z) = -z**2 + 10*z - 7. Let k be g(9). Differentiate 4*l**4 + p + 1 - 4 - k with respect to l.
16*l**3
Let c(q) = -4*q**3 - q**2 - q - 1. Let g be 1*-1*3/3. Let s be c(g). What is the second derivative of -s*a**5 + 0*a - 2*a + 4*a**2 - 4*a**2 wrt a?
-60*a**3
What is the third derivative of 10*h**3 + 50*h**2 + h**4 + 0*h**4 - 66*h**3 wrt h?
24*h - 336
Find the third derivative of -2*v**4 - 25 - 8*v**4 + 25 + 11*v**2 wrt v.
-240*v
Let a(s) be the first derivative of 3*s**3 + 0*s**2 - 9/4*s**4 + 5 + 0*s. Find the third derivative of a(m) wrt m.
-54
Let d(b) = -3*b**2 + 12*b. Let h(i) = 2*i**2 - 11*i. Let a(x) = -6*d(x) - 5*h(x). Find the second derivative of a(s) wrt s.
16
Let m(r) = -r**3 + 7*r**2 - 4*r - 7. Let u be m(6). Find the second derivative of -2*y + y**u + y + 4*y + 0*y**5 wrt y.
20*y**3
Let f(q) be the third derivative of q**8/168 + 3*q**4/8 + 10*q**2. What is the second derivative of f(m) wrt m?
40*m**3
Let a(c) be the third derivative of c**7/140 - 5*c**4/24 + 2*c**3/3 - 5*c**2. Let s(i) be the first derivative of a(i). Differentiate s(z) with respect to z.
18*z**2
Let c(l) be the first derivative of -l**4/12 - 2*l**3/3 + l**2/2 + 1. Let o(s) be the second derivative of c(s). Find the first derivative of o(m) wrt m.
-2
Let l(f) = -14*f**2 - 19*f - 2. Let a(o) = 70*o**2 + 96*o + 10. Let d(x) = -3*a(x) - 16*l(x). What is the second derivative of d(j) wrt j?
28
Let z(s) be the third derivative of s**5/10 + s**4/24 + 8*s**2. Find the second derivative of z(p) wrt p.
12
Let i(h) be the second derivative of 11*h**3/6 - 9*h**2 + 7*h. What is the derivative of i(m) wrt m?
11
Differentiate 40*d**2 - 5 + 14 - 9 - 2 with respect to d.
80*d
Let w(u) = u**2 - u. Let n(m) = 14*m**3 + 2*m**2 - 10*m. Let s(h) = -n(h) + 2*w(h). What is the second derivative of s(b) wrt b?
-84*b
Let a(y) = 7*y**3 - 5*y**2 - 22*y - 5. Let d(f) = -27*f**3 + 21*f**2 + 87*f + 21. Let v(p) = -21*a(p) - 5*d(p). What is the second derivative of v(n) wrt n?
-72*n
Let m(f) = -4*f**2 - 5. Let k(u) = 12*u**2 + 14. Let n(v) = 3*k(v) + 10*m(v). Find the first derivative of n(r) wrt r.
-8*r
Find the second derivative of -w - w - 3*w - 4*w + w**4 wrt w.
12*w**2
Let j(h) = -h**3 + h**2. Let m(r) = -r**3 + 2*r**2 - 2. Let g(z) = 4*j(z) - 2*m(z). Differentiate g(l) with respect to l.
-6*l**2
Suppose -2*p + 26 = 2. Let c be (6/18)/(2/p). What is the second derivative of 0*i + i**5 - c*i**5 + 2*i - 2*i**5 wrt i?
-60*i**3
Let g(o) = -o**3 - 13*o**2 + 8*o + 8. Let n(d) = -4*d**2 + 3*d + 3. Let r(b) = 3*g(b) - 8*n(b). What is the third derivative of r(z) wrt z?
-18
Let d(t) = -19*t**2 - 47. Let v(s) = 1. Let f(q) = d(q) - 4*v(q). Find the first derivative of f(z) wrt z.
-38*z
Let z be (-4)/2 - (0 - 4). Suppose 3*g = 4*t + 8, -g + 9 = 5*t - 0. Find the second derivative of -2*u + 0*u**2 - 2*u**z + g*u wrt u.
-4
What is the second derivative of -i - 5*i**2 + 4*i**2 - 2*i**2 + 5*i**2 wrt i?
4
Let c(j) = 13*j**3 - 4*j**2 + 4*j - 14. Let r(f) = -12*f**3 + 3*f**2 - 3*f + 13. Let n(u) = 3*c(u) + 4*r(u). What is the derivative of n(h) wrt h?
-27*h**2
Let z(x) = 30*x**3 - 5*x**2 + 8*x - 8. Let m(w) = 10*w**3 - 2*w**2 + 3*w - 3. Let o(u) = -8*m(u) + 3*z(u). Find the third derivative of o(i) wrt i.
60
Suppose -2*a = -4 - 2. Suppose a + 6 = 3*u. Find the first derivative of u*y - 2*y + 0*y + 2 wrt y.
1
Let t(s) be the second derivative of -9*s**5/20 - 5*s**3/2 + 13*s. What is the second derivative of t(l) wrt l?
-54*l
Let b be 0/((1 - 0) + 0). Let z = 2 + b. Find the third derivative of -2*k**2 + 3*k**z - k**6 - 3*k**2 wrt k.
-120*k**3
Find the first derivative of 0*i**2 + 3*i**2 - 3*i**2 + 10 + 15*i**4 wrt i.
60*i**3
Let z(c) = -3*c - 1. Suppose 0 = -2*g - 0*g - 4. Let k be z(g). Find the third derivative of -3*m**k + m**4 - m**4 - 3*m**2 + 0*m**5 wrt m.
-180*m**2
Let r(q) = q**5 + q**3 - q**2 - q - 1. Let s(y) = -3*y**5 - 6*y**3 + 6*y**2 + 9*y + 6. Let x(w) = -6*r(w) - s(w). Find the second derivative of x(j) wrt j.
-60*j**3
What is the second derivative of -2*x**4 + 4*x**4 - 14*x + 12*x wrt x?
24*x**2
Let a(p) be the second derivative of p**5/20 - 5*p**4/6 + 5*p. What is the third derivative of a(b) wrt b?
6
Suppose -r + 2*r - 10 = 0. Let x = -8 + r. Find the second derivative of -4*a - 4*a**2 + 0*a**2 + 5*a**x wrt a.
2
Let x(s) be the third derivative of -s**6/15 + s**4/3 + 4*s**2. Find the second derivative of x(z) wrt z.
-48*z
Suppose -2*l - 4*d - 6 = -0*l, -15 = -3*l + 2*d. Let x(i) be the second derivative of i**2 + 0 - 1/6*i**l + i. Differentiate x(s) with respect to s.
-1
Let n(x) be the second derivative of 0 + 1/2*x**2 + 1/2*x**3 - x. What is the first derivative of n(d) wrt d?
3
Suppose -11 = -2*z + 7. Suppose -7 = -6*n + n + 3*h, 2*n - z = -5*h. Find the second derivative of 3*t + 8*t - 12*t - n*t**5 wrt t.
-40*t**3
Let f(m) be the second derivative of -m**6/180 + m**5/60 + 5*m**3/6 + m. Let w(l) be the second derivative of f(l). Find the second derivative of w(d) wrt d.
-4
Let n(m) = 11 - 8*m**2 + m**3 - 21*m - 13*m**2 + 4*m + 4*m**2. Let w(o) = -3*o**2 - 3*o + 2. Let r(s) = 6*n(s) - 34*w(s). Differentiate r(x) wrt x.
18*x**2
Let x = 2 - -1. Suppose -5*z + 26 = -h, 3*h = -5*z + 6*h + 28. Find the first derivative of z*u**3 + 3*u - x*u - u**3 - 2 wrt u.
12*u**2
Let u(y) be the third derivative of 29*y**6/120 - 17*y**4/24 + 6*y**2. Find the second derivative of u(b) wrt b.
174*b
Let i(w) be the second derivative of -2*w**7/7 - 11*w**4/12 + w. What is the third deri