 Find the second derivative of s(m) wrt m.
-40*m**3
Let i = -12 + 24. Suppose -b = -4*b + i. Find the second derivative of -3*r**4 - 5*r + 2*r**b + 4*r wrt r.
-12*r**2
Suppose m + 12 = 4*k, -3*m = 2*k + 3*k - 15. Suppose 2*s + o - 14 = 0, -3*o = -2*s - 1 + 23. Find the second derivative of k*u - s*u + 3*u + 3*u**2 wrt u.
6
Let f(a) be the third derivative of 0*a**4 + 2*a**2 + 0*a - 1/3*a**3 - 1/15*a**5 + 0. What is the derivative of f(n) wrt n?
-8*n
Let s be ((-12)/10)/((-26)/65). Differentiate 5*t**s + 5 - t + t with respect to t.
15*t**2
Let r(t) be the second derivative of -23*t**5/20 - 19*t**3/6 - 18*t. Find the second derivative of r(b) wrt b.
-138*b
Find the first derivative of 1396*a + a**3 - 3 - 1396*a wrt a.
3*a**2
Let d = 2 - 0. Let u(n) = n**3 - 6*n**2 + 2*n - 8. Let c be u(6). What is the second derivative of 0*q + q**3 - d*q + c*q wrt q?
6*q
Let v(t) be the third derivative of 0 + 0*t + 0*t**3 - 1/15*t**5 + 4*t**2 + 1/8*t**4. What is the second derivative of v(x) wrt x?
-8
Let q be 8/(-6) + (-87)/(-45). Let r(y) be the first derivative of 1/3*y**3 + 0*y**4 + 0*y - 3 + 0*y**2 - q*y**5. What is the third derivative of r(w) wrt w?
-72*w
Let v(g) = 2*g**2 + 4*g + 0*g + 7*g**2 - 4*g**4 - 4*g**2. Let x(z) = -z**5 - z**4 + z. Let o(q) = v(q) - 4*x(q). What is the third derivative of o(k) wrt k?
240*k**2
Let u(a) = -5*a**3 - 23*a**2 + 13*a - 13. Let w(n) = 2*n**3 + 11*n**2 - 6*n + 6. Let z(y) = -6*u(y) - 13*w(y). What is the third derivative of z(m) wrt m?
24
Let s(f) = f**3 - 7*f**2 + 7*f - 4. Let a be s(6). What is the third derivative of a*u**2 + 0*u**2 - 4*u**2 - 3*u**4 wrt u?
-72*u
Let p(t) = 2*t**2 - 3*t + 2. Let m be p(2). Suppose 4 = m*i - 4. What is the third derivative of -6*h**2 + i*h**2 + 7*h**5 - 11*h**5 wrt h?
-240*h**2
Let q(p) = -14*p**3 - 3*p**2. Let m(g) = -g**3. Let a(c) = 22*m(c) - 2*q(c). What is the third derivative of a(t) wrt t?
36
Let m(q) = -12*q**2 - 5*q + 1. Let i(x) = 6*x**2 + 3*x. Suppose w = 2*w + 5. Let h(a) = w*i(a) - 3*m(a). Differentiate h(j) wrt j.
12*j
Let a be (-2)/(-4) - 1/2. What is the first derivative of 2 - 2 + 1 - 3*p**4 + a wrt p?
-12*p**3
Suppose -7 = -q + z, 6 = -4*q - 5*z - 11. What is the third derivative of -3*a**2 - 3*a**q + a**2 + a**4 - 2*a**4 wrt a?
-24*a
What is the second derivative of -14*b**5 - 10*b - 11*b**5 - 5*b**5 + 7*b**5 wrt b?
-460*b**3
Suppose 3*l + 2*u - 33 = -u, 0 = -3*l + 4*u + 26. What is the third derivative of l*p**5 - 67*p + 67*p - p**2 wrt p?
600*p**2
Let z(i) = i. Let a(k) = -2*k - 16. Let g(w) = a(w) - 2*z(w). What is the derivative of g(x) wrt x?
-4
Let q(z) be the third derivative of z**5/30 + z**4/8 + z**3/6 + z**2. Let r be q(-2). What is the first derivative of -g**4 + 0*g**4 - 2 + r*g**4 wrt g?
8*g**3
Let x(c) = 3*c**4 - 6*c**3 + 6*c**2 - 3. Let z(d) = d**3 - d**2. Let y(a) = -x(a) - 6*z(a). Differentiate y(t) with respect to t.
-12*t**3
Let b be (-4)/10 + 78/(-5). Let v be 2/(-3) - b/6. Differentiate 0 - 2*a**4 - v + 0*a**4 with respect to a.
-8*a**3
Let b(a) = a**5 + a**2 - a + 1. Let v(m) = -3*m**5 - 5*m**2 + m - 5. Let l(y) = 5*b(y) + v(y). Find the second derivative of l(g) wrt g.
40*g**3
Suppose -3*y - 2*n + 14 = 0, y + 4*n - 10 = 8. Find the third derivative of 0*o**2 + 0*o**y - o**5 + 2*o**2 - 5*o**2 wrt o.
-60*o**2
Let q(k) = -k**2 - 5*k - 2. Let j be q(-3). Find the third derivative of 1 + 3*l**j - 26*l**2 + 28*l**2 - 1 wrt l.
72*l
Let b(d) be the second derivative of -d**5/20 - 5*d**4/6 + d**3/6 + 5*d**2 - 3*d - 15. Find the second derivative of b(t) wrt t.
-6*t - 20
Let g(f) be the first derivative of -f**8/84 + f**5/60 + f**2/2 + 4. Let y(s) be the second derivative of g(s). Find the third derivative of y(h) wrt h.
-240*h**2
Suppose 0 = -2*w - 2*z - 6, 2*w - 6 = 2*z. Let b(g) be the first derivative of -4/3*g**3 - 5/2*g**2 + w*g + 3. What is the second derivative of b(o) wrt o?
-8
Let p be (-1 + (-17)/(-15))/(70/315). Let m(l) be the first derivative of -p*l**5 + l + 0*l**4 + 0*l**3 + 0*l**2 + 1. What is the derivative of m(b) wrt b?
-12*b**3
Let a(f) be the third derivative of f**6/120 + f**5/5 + 14*f**2. What is the third derivative of a(p) wrt p?
6
Suppose 15 = m + 4*m. Let i(c) = 6*c**3 + 0*c**m + 1 + 0 - 2*c**3. Let w(p) = -12*p**3 - 3. Let g(z) = -11*i(z) - 4*w(z). What is the derivative of g(f) wrt f?
12*f**2
Find the second derivative of -3*g + 6*g**3 - 7*g**3 - g wrt g.
-6*g
Let i(q) = 9*q**2 + 6*q - 5. Let y be (-2)/7 - 220/(-35). Let u(l) = 10*l**2 + 7*l - 6. Let m(h) = y*i(h) - 5*u(h). Find the second derivative of m(c) wrt c.
8
Let f(s) = s**2 - 2*s - 1. Let k be 2*(0 - (-9)/6). Let n be f(k). What is the third derivative of -4*l**2 + l**2 + 4*l**2 - 4*l**2 + n*l**3 wrt l?
12
Let h(q) = 11*q + 2. Let a(t) = 10*t + 2. Let b(p) = -6*a(p) + 5*h(p). Let z(k) = -24*k - 10. Let s(v) = 11*b(v) - 2*z(v). What is the derivative of s(r) wrt r?
-7
Let l = -15 + 18. Let r(c) = c**3 - 8*c**2 + c - 6. Let g be r(8). Find the second derivative of -g + 0*k**3 + k**l + 2 - 2*k wrt k.
6*k
Suppose 3*w = a - 1, -7 = -0*a - a - 3*w. Suppose 4 = 4*q + 3*c, 5*q + 1 = -a*c + 5. Find the second derivative of -q*j**2 - 5*j + 4*j + 5*j**2 wrt j.
2
What is the derivative of -5*x**2 + 15 + 3*x - 3*x - 7*x**2 wrt x?
-24*x
Suppose -4*b + 2*b = 0. Suppose b = -5*l + 2*l. Differentiate -1 + 2*c - 1 + l wrt c.
2
Suppose 5*w - d = 10, -4*d + 4 = -2*w - 2*d. Differentiate -3 + 0*v + 6 + 3 + w*v wrt v.
3
Suppose 0 = 5*s - 10, y - 2 = s - 0. Let f = y - 1. What is the second derivative of 3*z**2 + 3*z**2 + z**2 - 3*z**2 - f*z wrt z?
8
Let k(y) = 51*y**3 - 11*y**2 - 76. Let g(m) = -10*m**3 + 2*m**2 + 15. Let q(w) = 22*g(w) + 4*k(w). What is the first derivative of q(v) wrt v?
-48*v**2
Let p(c) be the second derivative of c**5/4 - 5*c**4/6 - 8*c. What is the third derivative of p(x) wrt x?
30
Let d(m) = -m**2 + 4*m - 2. Let y be d(3). What is the first derivative of -2 + 12*b**4 + y - 15*b**4 wrt b?
-12*b**3
Suppose -x - 14 = 5*m, 2*m = -2*m - 16. Find the third derivative of 3*l**x + 0*l**2 + l**2 - l**2 + 2*l**2 wrt l.
360*l**3
Let t(j) = -7*j**2 - 15*j + 1. Let w(o) = o**2 - o + 1. Let u(m) = t(m) - w(m). What is the second derivative of u(x) wrt x?
-16
Let r(s) be the third derivative of s**9/756 + s**6/90 + 2*s**3/3 + s**2. Let x(h) be the first derivative of r(h). What is the third derivative of x(o) wrt o?
240*o**2
Suppose -2*r - 3*v = -8, -5 + 1 = -r + v. Let i(c) = c**2 + 4*c - 1. Let k be i(-5). What is the second derivative of -4*t - t - t**r + k*t wrt t?
-12*t**2
Suppose -3*h + 6 = -6. Suppose h*r - 14 = 2*a, 5*r = 2*a - 3*a + 35. What is the third derivative of 5*y**3 - 5*y**3 + 2*y**2 - 2*y**r wrt y?
-240*y**3
Let o(t) = t**6 - t**4 - t**3 + t**2. Let s(a) = -9*a**6 + 3*a**4 + 3*a**3 + 2*a**2. Let k(m) = -3*o(m) - s(m). What is the third derivative of k(c) wrt c?
720*c**3
Suppose -7 + 17 = 5*a. Let l be (-12)/(1 + a)*-1. Differentiate -l + 4 + 2*o**2 - 1 wrt o.
4*o
Let k(w) be the third derivative of 19*w**6/40 + 9*w**3/2 - 6*w**2 - 3*w. Find the first derivative of k(l) wrt l.
171*l**2
Find the third derivative of -14*q + 14*q + 4*q**4 + 3*q**2 wrt q.
96*q
Let n(t) = -t**2 - 5*t + 12. Let g be n(-6). What is the third derivative of 4*d**6 + d**6 - d**2 - 3*d**g wrt d?
240*d**3
What is the third derivative of 6*g**2 - 5*g**2 + 3*g**3 - 5*g**3 wrt g?
-12
Let o = 73 + -43. What is the second derivative of -2*k**2 - 30 + o - 2*k wrt k?
-4
Suppose 6*u = 3*u + 6. What is the third derivative of 5*n**6 - 4*n**u + 77 - 77 wrt n?
600*n**3
Let a(z) = 8*z - 3. Let k(p) = -23*p + 8. Let h(c) = -8*a(c) - 3*k(c). Let i(n) = -9*n + 1. Let b(w) = -5*h(w) - 3*i(w). Differentiate b(y) with respect to y.
2
Let t(m) be the first derivative of m**6/90 + m**5/40 - 4*m**3/3 + 2. Let o(y) be the third derivative of t(y). Find the second derivative of o(k) wrt k.
8
Let b(q) be the third derivative of q**7/70 + q**4/6 - 2*q**2. What is the second derivative of b(c) wrt c?
36*c**2
Let z = 5 + 2. Let d(n) be the second derivative of 1/6*n**4 + 0*n**3 + 0 + 0*n**6 + n + 0*n**5 - 1/42*n**z + 0*n**2. Find the third derivative of d(r) wrt r.
-60*r**2
What is the second derivative of u**2 + 4*u + 0*u**2 + u wrt u?
2
Let y(d) = -11*d - 2. Let l(i) = 11*i + 3. Let t(h) = -3*l(h) - 4*y(h