t to r.
16
Let a(z) = z**3 - 2*z**2 - z - 2. Let i be a(3). Let f = i + -1. Differentiate 0*r**3 - 3 + 2*r**f + 1 wrt r.
6*r**2
Let a(w) = -w - 5. Let k be a(-5). Suppose -2*n - 4*o = 16, n - 2*o = 6*n. What is the second derivative of -2*s + k*s + 4*s**3 + n*s + 4*s wrt s?
24*s
Let w(p) = -p - 4. Let g be w(3). Let a = g - -12. Find the second derivative of 2*q**2 - 2*q + a*q - 2*q wrt q.
4
Let c = -6 - -8. Let p be 1/(c - (-14)/(-8)). Differentiate 1 - 1 + 2*m**3 - p + 0 wrt m.
6*m**2
Let a(d) = -5*d**3 + 6*d**2 - 6*d + 2. Let m(j) = 9*j**3 - 11*j**2 + 11*j - 4. Let g(p) = -11*a(p) - 6*m(p). What is the first derivative of g(u) wrt u?
3*u**2
Find the third derivative of -r**2 - r**2 + 4*r**2 + 3*r**6 wrt r.
360*r**3
What is the second derivative of 0*k**5 - 4*k**5 + 22*k - 3*k**5 wrt k?
-140*k**3
Let c be 31/7 + (-3)/7. What is the third derivative of v**2 + v**c - 5*v**4 + 3*v**2 wrt v?
-96*v
Let k(r) = 3*r - 1. Let a be k(1). Let u be 119/35 - 4/10. Find the third derivative of 6*j**2 + j**u - a*j**2 - 2*j**2 wrt j.
6
What is the second derivative of 9*d**3 + 10*d**3 - 12*d**3 - d wrt d?
42*d
Let t(z) = 8*z - 5. Let c(a) be the second derivative of -7*a**3/6 + 2*a**2 + a. Let q(w) = 6*c(w) + 5*t(w). What is the derivative of q(o) wrt o?
-2
Let w(i) = 14*i**2 - 7*i - 7. Let d(s) = 14*s**2 - 7*s - 6. Let f(u) = 7*d(u) - 6*w(u). What is the second derivative of f(c) wrt c?
28
Let d be (-12)/16*-1*4. Let j = d + -2. Let n(f) = -f**2 - f - 1. Let z(b) = -2*b + 1. Let w(v) = j*n(v) + z(v). What is the second derivative of w(q) wrt q?
-2
Let w(d) = 6*d**2 - 6*d - 2. Let g(r) = r**2 + r - 1. Let q(i) = 6*g(i) + w(i). What is the derivative of q(x) wrt x?
24*x
Let p be 8/10*60/8. Find the third derivative of 3*d**2 - 1 + 0*d**2 + 1 + p*d**4 wrt d.
144*d
Let p(w) = -w**2 - 2*w. Let d be p(-2). Suppose d*k - 2 = -k. What is the first derivative of s**2 + s**k + 0 + 2 wrt s?
4*s
What is the second derivative of -104*v + 92*v - 7*v**3 - 9*v**3 wrt v?
-96*v
What is the third derivative of 77*y**2 + 4*y**3 - 32*y**2 - 2*y + 4*y wrt y?
24
Let b(h) = 1. Let c(f) = 2*f**3 - 5*f**2 - 11. Suppose 3 = 4*k - 5. Let v(d) = k*c(d) + 22*b(d). What is the third derivative of v(l) wrt l?
24
Let m(k) = -k - 4 + 2 + 2*k**4 - k**4 + 5*k. Let h(t) = -t**4 - 5*t + 3. Let u(y) = 2*h(y) + 3*m(y). Find the second derivative of u(a) wrt a.
12*a**2
Let g(f) = -75*f**4 + 28*f**2 + 7. Let c(v) = 37*v**4 - 14*v**2 - 4. Let r(h) = 7*c(h) + 4*g(h). Find the third derivative of r(b) wrt b.
-984*b
Let w(y) be the second derivative of -y**8/336 + y**5/12 + y**2/2 + 4*y. Let x(u) be the first derivative of w(u). What is the third derivative of x(z) wrt z?
-60*z**2
Differentiate 0*a**3 - 7*a**3 + 3 + 2*a**2 - 54 with respect to a.
-21*a**2 + 4*a
Let q(i) = -i - 3. Let t be q(-5). Suppose -t = -m + 3*c - 13, -3*m + 7 = -c. Differentiate 3*f**4 - f**4 - 3 + m with respect to f.
8*f**3
Let d = -4 - -4. Find the third derivative of 0*p**5 - 3*p**2 - 3*p**6 + d*p**5 wrt p.
-360*p**3
Let d(c) be the third derivative of -19*c**9/504 - c**5/6 + 4*c**2. What is the third derivative of d(a) wrt a?
-2280*a**3
Let o(y) be the first derivative of y**4/12 + y**3/2 - 3*y + 5. Let a(w) be the first derivative of o(w). Find the second derivative of a(s) wrt s.
2
Let o(z) = 3*z**2 - 9. Let w(u) = u**2 - 1. Let g(t) = o(t) - 2*w(t). Differentiate g(n) wrt n.
2*n
Let b(c) = 3. Let y(w) = 4*w + 3 - 5*w - 3. Let a(p) = -3*b(p) - 6*y(p). Find the first derivative of a(n) wrt n.
6
Let a(i) = -6*i**2 - 4*i - 1. Let d(l) = 5*l**2 + 3*l + 2. Let u(w) = -3*a(w) - 4*d(w). Differentiate u(v) with respect to v.
-4*v
Let b(s) = -9*s**4 - 4*s**2 - 4. Let i(y) = -17*y**4 - 9*y**2 - 7. Let q(m) = 7*b(m) - 4*i(m). Find the third derivative of q(x) wrt x.
120*x
Suppose -3*w = -2*x - 14, -9 = -3*w + 4*x + 13. Find the second derivative of 3*k + k**2 + 3*k**2 + w*k**2 - k**2 wrt k.
10
Let p(t) = -t**2 + t + 2. Let m(n) = -n - 1. Let h be m(-3). Let l(o) = 3*o**2 - 3*o - 7. Let s(u) = h*l(u) + 7*p(u). Find the second derivative of s(a) wrt a.
-2
What is the third derivative of 9*k**4 + 3*k**4 - 3*k**4 + k**4 + 5*k**2 wrt k?
240*k
Let g = 5 + -2. Find the first derivative of g*a - 17 + 16 - 7*a wrt a.
-4
Let i(j) = j**4 - 4*j**2 + 4. Let b(t) = 3*t**2 - t - 3. Let l(g) = 4*b(g) + 3*i(g). Find the second derivative of l(s) wrt s.
36*s**2
Let t(q) be the first derivative of -2*q**5 + 21*q**2/2 + 32. What is the second derivative of t(y) wrt y?
-120*y**2
Let c(o) = -o**3 - o**2 - 1. Let w(t) = -t**3 + 9*t**2 + 36. Let m(f) = -4*c(f) - w(f). Find the first derivative of m(q) wrt q.
15*q**2 - 10*q
Let w(y) be the first derivative of 1 + 0*y**3 + 0*y**5 + 1/2*y**6 + 0*y + 0*y**4 - 1/2*y**2. Find the second derivative of w(v) wrt v.
60*v**3
Suppose -w = -5*c + 16 + 1, 5*w = -3*c - 1. Find the third derivative of 0*q**3 + c*q**2 - 2*q**2 - 2*q**3 wrt q.
-12
Let v(p) be the third derivative of 0*p**3 - 1/8*p**4 - p**2 + 0 + 0*p - 1/60*p**5. What is the second derivative of v(m) wrt m?
-2
Find the second derivative of -9 + 4*k + 9 + 3*k**5 wrt k.
60*k**3
Let x(p) be the third derivative of -p**4/3 - p**3/6 - p**2. What is the derivative of x(q) wrt q?
-8
Let a(p) = 9*p**3 - 2*p**2 + 2. Let b(y) = -37*y**3 + 9*y**2 - 7. Let w(g) = 9*a(g) + 2*b(g). Differentiate w(c) with respect to c.
21*c**2
Let o(t) be the second derivative of t**5/10 - 5*t**3/3 - 6*t. What is the second derivative of o(q) wrt q?
12*q
Differentiate 2*l + 2*l - 4 - 7*l + 1 with respect to l.
-3
Let r(h) be the first derivative of 1 - 3/4*h**4 + 0*h**3 + 0*h**2 - 2*h. What is the derivative of r(y) wrt y?
-9*y**2
What is the third derivative of -5*n**5 + 50*n**4 - 50*n**4 - 7*n**2 wrt n?
-300*n**2
Let b(v) = -v**2 + 1. Let c(d) = -d**3 - 10*d**2 - 2. Let i(r) = 2*b(r) + c(r). Find the third derivative of i(n) wrt n.
-6
Let b(k) be the second derivative of -k**2 + 0 + 5*k - 1/3*k**3. What is the first derivative of b(p) wrt p?
-2
Let w(r) = r + 8. Let p be w(-6). Suppose -u - 1 = -p*t, -2*t - 6 = -4*u + 2. Find the second derivative of -4*y + y + y**4 - 2*y + u*y wrt y.
12*y**2
Suppose 0*q + 8 = 4*q. Find the third derivative of 3*n**3 + 2*n**2 + q*n**2 - 2*n**3 - n**2 wrt n.
6
Suppose 4*v + 4*y + 12 = 0, -5*y + 27 = v - 10*y. What is the derivative of -6*r**v + 1 + 2*r**2 + r**2 wrt r?
-6*r
Suppose -4*l = -6 - 2. Suppose -4*b - 3 = d + 2, -4*d - 5*b = -l. Find the third derivative of 2*m**4 - 2*m**2 + m**3 - m**d wrt m.
48*m
Let w(t) be the third derivative of -11*t**5/60 - 19*t**3/6 + 12*t**2. What is the derivative of w(h) wrt h?
-22*h
Let x(u) be the first derivative of -u**6/120 + u**4/24 + 3*u**2/2 - 5. Let v(f) be the second derivative of x(f). Find the second derivative of v(c) wrt c.
-6*c
Suppose 6*z = 2*z. Let j(t) be the first derivative of t**2 + 1 + 0*t + z*t**3 + 0*t**4 + 1/5*t**5. Find the second derivative of j(w) wrt w.
12*w**2
Let i(a) be the second derivative of -1/6*a**3 + 0*a**2 + 0 - 1/3*a**4 - 3*a. What is the second derivative of i(o) wrt o?
-8
Let o(k) be the first derivative of -2*k**5 - 8*k - 9. Find the first derivative of o(h) wrt h.
-40*h**3
Suppose c + 12 = -2*c. Let r(n) = -n**3 - 4*n**2 - n. Let k be r(c). What is the second derivative of l - 5*l**4 + 4*l**k + l wrt l?
-12*l**2
Let g be (-5)/(-1) + 1*-3. Let m(w) be the first derivative of -3*w + w**3 + 4 + 0*w**3 - g. What is the first derivative of m(j) wrt j?
6*j
Let m(j) = -j + 4. Let h be m(5). Let w be h + -2 + 12/3. What is the derivative of w + 0 - r + 3*r - r wrt r?
1
Let d(f) = 4*f**4 - 3*f**2 - 5. Let h(s) = -s**4 + 0 + 2*s**4 + s**2 + 1 - 2*s**4. Let y(i) = -2*d(i) - 6*h(i). Find the first derivative of y(j) wrt j.
-8*j**3
Let h(b) be the third derivative of b**7/210 - 2*b**5/15 - 9*b**2. What is the third derivative of h(o) wrt o?
24*o
Let s(d) = -7*d**2 + 3*d. Let u(r) = -21*r**2 + 9*r. Let o(y) = 14*s(y) - 4*u(y). Find the second derivative of o(k) wrt k.
-28
Let s(l) be the second derivative of 0*l**3 + 0 + 0*l**4 + 3*l**2 - 3/20*l**5 + 5*l. What is the first derivative of s(q) wrt q?
-9*q**2
Suppose 0 = 4*g + 1 - 17. What is the third derivative of 0*r**2 - 5*r**g - 2*r**2 + 9*r**2 wrt r?
-120*r
Let v(p) = 3*p**2 - 2*p - 2. Let z be v(2). Suppose -4*g + 2 - 4 = -y, -