*m wrt i.
-240*i**2
Let t = 10 + 2. Suppose r = 3*r - t. What is the third derivative of 4*l**r - l**2 - l**6 + l**6 wrt l?
480*l**3
What is the third derivative of 6*s**5 + 36*s**2 - 3*s**5 - 31*s**2 wrt s?
180*s**2
Let v(l) = l**3 + 3*l**2 - l - 3. Let h(p) = -2*p**2 + p + 2. Suppose 0 = 4*n - 12 + 4. Let j(i) = n*v(i) + 3*h(i). What is the second derivative of j(c) wrt c?
12*c
Let g(r) be the first derivative of r**4/24 + r**3/2 + 5*r**2/2 + 8. Let o(d) be the second derivative of g(d). Differentiate o(y) wrt y.
1
What is the second derivative of -9*x + 6*x**5 - 4*x + 2*x wrt x?
120*x**3
Let k(s) be the first derivative of -s**4/12 - s**3/6 - 5*s - 5. Let g(x) be the first derivative of k(x). Find the second derivative of g(z) wrt z.
-2
Suppose 10*g - 24 = 7*g. Let q(a) = -6*a**3 - 2*a + 8. Let l(b) = 2*b**3 + b - 3. Let v(t) = g*l(t) + 3*q(t). Find the second derivative of v(j) wrt j.
-12*j
Let v(y) = -7*y**4 - 9*y**2 + 7*y + 7. Let h(k) = -7*k**4 - 8*k**2 + 6*k + 6. Let d(u) = -7*h(u) + 6*v(u). Find the third derivative of d(g) wrt g.
168*g
Suppose 17*d + 36 = 23*d. Let u be (1/(-2))/((-2)/12). Find the second derivative of -u*i - 2*i**2 + 0*i**2 + d*i wrt i.
-4
Let w(x) be the second derivative of 17*x**5/20 - 19*x**4/12 - 20*x. What is the third derivative of w(h) wrt h?
102
Let l = 5 + 1. What is the third derivative of -6*i**4 + l*i**2 - 4*i**2 + 5*i**2 wrt i?
-144*i
What is the third derivative of 7*i**2 - 7*i**2 - 8*i**5 + 4*i**2 wrt i?
-480*i**2
Suppose -5*m + 32 = b - 4*b, 2*b = m - 12. Find the third derivative of 3*w**m - w**4 + 2*w**2 - w**2 + 2*w**2 wrt w.
48*w
Let z(l) = -l**3 - 2*l**2 + 4*l + 4. Let x(b) = b**2 - 3*b - 3. Let t = -5 - -9. Let i(c) = t*x(c) + 3*z(c). Find the third derivative of i(a) wrt a.
-18
Let n(d) be the third derivative of 0*d + 2*d**2 + 0 + 0*d**3 + 0*d**6 + 0*d**5 - 1/210*d**7 - 7/24*d**4. What is the second derivative of n(m) wrt m?
-12*m**2
Let l(o) = -15 + 0*o**2 + o**3 + 8*o**2 - 2*o + 5. Let n be l(-8). Find the third derivative of 6*w**2 - 3*w**n + w**6 - 5*w**2 wrt w.
-240*w**3
What is the first derivative of -3*t**3 - 3*t**3 + 10*t**3 - 18 + 11*t**3 wrt t?
45*t**2
Let o(c) be the first derivative of 7*c**3/6 - c**2 - 3*c + 2. Let f(g) be the first derivative of o(g). Differentiate f(d) with respect to d.
7
Let d be 1 + -1 + (0 - -3). Suppose -3*m - 3*h + 15 = 0, -5*h = -d*m + 3 + 4. Find the third derivative of f**3 - 3*f**3 - m*f**2 - 20 + 20 wrt f.
-12
Suppose 2*y - 6 = -j, 2*y = 2*j + 4 + 2. Differentiate -y*t + 7*t - 3 + 7*t**4 - 4*t with respect to t.
28*t**3
Let l(g) be the second derivative of 4*g**6/15 + 7*g**2/2 + 2*g. Differentiate l(m) wrt m.
32*m**3
Let c(r) be the first derivative of 0*r**5 + 0*r + 0*r**4 - 5/2*r**2 + 0*r**3 + 1/6*r**6 - 8. Find the second derivative of c(m) wrt m.
20*m**3
Let n(u) = -13*u**2 - 2*u - 6. Let i(g) = -25*g**2 - 5*g - 11. Let r(f) = 6*i(f) - 11*n(f). What is the second derivative of r(y) wrt y?
-14
Let p(v) be the third derivative of v**5/30 + 7*v**4/24 + 15*v**3/2 - 14*v**2 + 2. Differentiate p(q) with respect to q.
4*q + 7
Suppose 8 = d - 2*c - 2, -6 = 3*c. Suppose 1 = -2*n - 9, -5*n = 5*u + 15. Find the second derivative of 5*z**2 - z - d*z**u + z - z wrt z.
-2
Suppose 12*c - 24 = 10*c. Find the first derivative of -4 - 11*f + 5*f + c*f wrt f.
6
Let z(b) = -4*b**4 - 2*b**2 - 3*b - 2. Let s(o) = -7*o**4 - 5*o**2 - 5*o - 5. Let c(j) = 2*s(j) - 5*z(j). Find the second derivative of c(y) wrt y.
72*y**2
Let s(d) = -14*d**3 - 7*d**2 + 3. Let y(p) = -7*p**3 - 4*p**2 + 2. Let x(m) = 4*s(m) - 7*y(m). What is the derivative of x(w) wrt w?
-21*w**2
Suppose -i + 5*l = 13, 4*l - 9 = l. Find the third derivative of p**2 + 2*p**2 + p**4 - i*p**2 wrt p.
24*p
Let g(b) = -7*b - 1. Let v(s) = s. Let c be (-3)/(-9) + (-219)/9. Let i(p) = c*v(p) - 3*g(p). Differentiate i(a) wrt a.
-3
Let n(m) be the first derivative of -8*m**3 - 1 + 9 + 9*m**3 + 4*m. What is the derivative of n(r) wrt r?
6*r
What is the third derivative of -6*o**2 + 314*o**3 - 306*o**3 - 31*o**2 wrt o?
48
What is the third derivative of 8*a**2 - 3*a**5 - 3*a**5 + 0*a**2 wrt a?
-360*a**2
Let u(z) = 6*z**2 - 6*z + 3. Let o(b) = -b - 1. Let h(l) = -3*o(l) - u(l). Find the second derivative of h(v) wrt v.
-12
Suppose -2*a - 2 = -8. Suppose -4*z = 0, 12 - 2 = 2*i + z. What is the third derivative of i*y + a*y**2 - 5*y - 2*y**5 wrt y?
-120*y**2
Suppose r = -2*r + 21. Let y be 40/7 + 2/r. What is the third derivative of 2*i**5 + 0*i**y + 3*i**6 + 4*i**2 - 2*i**5 wrt i?
360*i**3
Let c(k) be the first derivative of 8*k**3/3 - 6*k + 10. What is the derivative of c(b) wrt b?
16*b
Let z(g) be the second derivative of 0 + g**3 + 0*g**2 - 2*g - 5/12*g**4. Find the second derivative of z(l) wrt l.
-10
Let t(c) be the first derivative of 0*c**4 + c**3 - 2 + 0*c**2 + 0*c - 1/5*c**5. Find the third derivative of t(p) wrt p.
-24*p
Let g(m) be the first derivative of -m**5/4 + m**3/6 + 5*m + 3. Let f(s) be the first derivative of g(s). Find the second derivative of f(y) wrt y.
-30*y
Find the second derivative of 2*t**3 + 3 - 11*t**4 - 2*t**3 + 2*t + 14 + t**2 wrt t.
-132*t**2 + 2
Let w be 5/(-2)*(-12)/6. Differentiate 3 + 0*b**2 + 3*b**2 - w with respect to b.
6*b
Let s(o) be the third derivative of -1/12*o**4 + 0*o**5 + 0*o**3 + 4*o**2 + 0 + 0*o**6 + 0*o - 1/168*o**8 + 0*o**7. What is the second derivative of s(f) wrt f?
-40*f**3
Let x(y) = -13*y**3 - 11*y**2. Let m(v) = -27*v**3 - 23*v**2. Let p(w) = 2*m(w) - 5*x(w). What is the third derivative of p(h) wrt h?
66
Suppose -9 = -3*m + 2*w, 2*m - m = 2*w + 3. Find the third derivative of 4*r**2 + 3*r**m - 3*r**3 - r**2 + r**6 wrt r.
120*r**3
Let x(f) be the first derivative of -1/2*f**4 + 0*f**3 - f**2 + 3 + 0*f. What is the second derivative of x(v) wrt v?
-12*v
Let q(s) be the first derivative of -1 + 2*s - 3/2*s**2. Find the first derivative of q(u) wrt u.
-3
Let w(s) be the third derivative of s**7/30 - s**6/60 - 6*s**5/5 + s**2 + 1. What is the third derivative of w(i) wrt i?
168*i - 12
Suppose 5*q = 4*l - 18, 2*l + 0*q = -3*q - 2. What is the third derivative of 0*v**3 - v**3 + 7*v**l - 9*v**3 wrt v?
-60
Let i(c) = 3*c + 9. Let o be i(5). What is the second derivative of -o*h - 27*h + 11*h**5 + 40*h wrt h?
220*h**3
Let y be (-16)/(-6)*9/(-6). Let i be y/(-10)*(-5 - -10). Find the second derivative of 4*q - 5*q + 0*q**i - q**2 wrt q.
-2
Suppose 3 = -2*x + 7. Suppose m - 6 = -2*f, 5*m - f = 3*f + x. Find the first derivative of -3 - 2*s**2 + 2*s**2 + 0*s**2 - m*s**3 wrt s.
-6*s**2
Let p(t) = -7*t + 3. Let i be p(2). Let j(r) = 9*r**2 + r + 11. Let u(n) = 2*n**2 + 2. Let h(g) = i*u(g) + 2*j(g). What is the second derivative of h(m) wrt m?
-8
Suppose -g = 3 - 5. What is the third derivative of 0*o + 2*o**2 - 3*o**3 + 0*o + 0*o**g wrt o?
-18
Find the second derivative of 2 - 10*x**4 - 4*x**2 + 9*x - 19*x**4 + 9*x + 38*x**4 wrt x.
108*x**2 - 8
Let v(z) be the third derivative of -13*z**9/504 + z**5/20 + 7*z**2. Find the third derivative of v(l) wrt l.
-1560*l**3
Let j(x) be the third derivative of 0*x + 1/8*x**4 - 1/20*x**6 + 0*x**3 - 3*x**2 + 0 + 0*x**5. What is the second derivative of j(q) wrt q?
-36*q
What is the second derivative of -8*t**3 + 83*t - 12*t**3 - 100*t - t**3 wrt t?
-126*t
Let z(l) be the second derivative of -5/42*l**7 + 0*l**6 + 0*l**2 + 0 + 6*l + 0*l**5 + 1/3*l**3 + 0*l**4. What is the second derivative of z(j) wrt j?
-100*j**3
Suppose 8*p = 3*p - 5. Let f be 93/15 + p/5. Find the third derivative of -3*y**2 + 0*y**5 + f*y**2 - 4*y**5 wrt y.
-240*y**2
Let l(a) = a - 3. Let c(u) = u - 5. Suppose -3*t - b = 2*b + 21, 5*t = -b - 15. Let d(i) = t*c(i) + 5*l(i). Differentiate d(x) wrt x.
3
Differentiate 20*a**2 - 3 - 18*a**2 - 25*a**2 - 21*a**2 with respect to a.
-88*a
Let t be ((-16)/(-6))/(2/36). What is the third derivative of 48*q**5 + 3*q**2 - q**6 - t*q**5 wrt q?
-120*q**3
Suppose 0 = 5*q + 5*c - 60, -7*q + 4*c = -2*q - 33. Let d = 5 + -2. What is the second derivative of q*y**2 - 9*y**2 + 2*y + 2*y**d wrt y?
12*y
Let m(n) = -n**2 + 4*n + 2. Let k be ((-4)/(-2))/((-1)/(-2)). Let l be m(k). What is the second derivative of x + 2*x**2 - 4*x**2 + 3*x**l wrt x?
2
Let l(m) = m. Let k(q) = 4*q - 1. Let u = 3 + -4. Let a(o) = u*k(o) + 6*l(o). What is t