Let v(c) be the second derivative of c**7/280 + c**5/40 + c**3/3 + c. Let k(j) be the second derivative of v(j). What is the second derivative of k(h) wrt h?
18*h
Let k = -11 - -20. Differentiate -k - 2*a - a + 8 with respect to a.
-3
Let y(q) be the second derivative of -2*q**6/15 - 3*q**3/2 + 6*q. Find the second derivative of y(k) wrt k.
-48*k**2
Suppose -10 + 26 = 4*p. Suppose 2 = -2*m + 5*s, 0 = -p*m - 2*s + 20. What is the third derivative of 0*g**m + 3*g**2 - g**2 + 2*g**4 wrt g?
48*g
Let w(a) be the third derivative of -a**10/151200 + a**6/144 + a**5/15 + 3*a**2. Let g(d) be the third derivative of w(d). Differentiate g(t) wrt t.
-4*t**3
Suppose 8 = -x + 5*x. Let l(k) be the first derivative of -k - x + 1/2*k**2. What is the derivative of l(z) wrt z?
1
Suppose -5*z + 15 = -r, -2*r = -4*z - 0*z + 18. Suppose -3*w - 2 = 4*h, w + 0*h + z = -2*h. What is the third derivative of -k**2 + k**4 - 3*k**4 - k**w wrt k?
-48*k
Let j(p) be the first derivative of p**3 - 3/5*p**5 - 4 + 0*p + 0*p**4 + 0*p**2. Find the third derivative of j(k) wrt k.
-72*k
Let v be (-1 - -10)*16/24. What is the third derivative of m**2 - 2*m**v + 0*m**6 + m**2 wrt m?
-240*m**3
Suppose -2*k + v = -5, 0 = -5*k - v - 3*v + 6. Find the second derivative of -4 + 2*a**4 - a**4 - k*a + 4 wrt a.
12*a**2
Let s(x) be the third derivative of -7*x**4/24 + 4*x**3/3 - 7*x**2. What is the derivative of s(r) wrt r?
-7
Suppose -3*f - 3 = -4*h, -4*h - f - 3 = 2*f. Let l(k) = -k**3 + k + 5. Let j be l(h). Find the second derivative of -3*y**5 + y**j - y - y wrt y.
-40*y**3
Let i be 12/3 - (1 + 1). Find the third derivative of l**5 + i*l**5 - 2*l**2 - l**5 wrt l.
120*l**2
Let o be ((-6)/4)/(3/(-4)). Find the second derivative of 3*m + 0 + 3*m**o + m + 0 wrt m.
6
Let i(f) = 23*f**2 - 24*f. Let a(n) = 22*n**2 - 25*n. Let x(d) = -6*a(d) + 7*i(d). What is the second derivative of x(u) wrt u?
58
Find the second derivative of 37*r**5 + 36*r - r - 42*r**5 wrt r.
-100*r**3
Let r = 3 + 0. What is the second derivative of -3*c - 4*c + 2*c**5 - 4*c**5 + r*c wrt c?
-40*c**3
Find the first derivative of 738 - 373 + 9*a**3 - 370 wrt a.
27*a**2
Let z = 6 + -5. Suppose 4*n - 14 - 2 = 0. Find the first derivative of -z - k - k + n*k wrt k.
2
Let z(l) = -3*l + 2. Suppose -5*h = 5*p - 10, 10 = 2*p + 3*p - 2*h. Let n(j) = -3*j + 2. Let s(f) = p*n(f) - 3*z(f). Find the first derivative of s(k) wrt k.
3
Let d = -6 + 3. Let v be 1/3 + d/9. Find the third derivative of -5*k**2 + 6*k**2 + v*k**4 - 3*k**4 wrt k.
-72*k
Let o(p) = 13*p**3 - 2*p**2 + 8*p + 2. Let t(m) = -53*m**3 + 9*m**2 - 33*m - 9. Let j(x) = -9*o(x) - 2*t(x). What is the second derivative of j(h) wrt h?
-66*h
Suppose 3*q - 6*q = 0. Suppose -3*d - 3 + 12 = q. Find the second derivative of o - o**d + o + o wrt o.
-6*o
Let i(z) = z + 2. Let b be i(3). What is the second derivative of 3*r - b*r**2 - 7*r + 2*r wrt r?
-10
Let w(y) be the third derivative of y**9/84 + y**5/12 + 5*y**2. What is the third derivative of w(o) wrt o?
720*o**3
Suppose -3*a + 12 = -a. What is the derivative of 2*m + 2*m + a - 14 wrt m?
4
Let o(l) = -4*l**4 + 20*l**3 - 16*l**2. Let i(h) = h**3 - h**2. Let f(x) = 40*i(x) - 2*o(x). Find the third derivative of f(m) wrt m.
192*m
What is the second derivative of 9*g - g**3 - 3*g + 131*g**2 - 131*g**2 wrt g?
-6*g
Let d(y) be the first derivative of 13*y**4/4 - 11*y**3/3 - 18. What is the third derivative of d(f) wrt f?
78
Let r be (-12)/2*1/(-2). Differentiate -3 - 2 + r*b**4 - 2 + 6 wrt b.
12*b**3
Let l(k) be the second derivative of 0*k**5 + 0*k**7 + 0*k**6 + 1/4*k**4 - 3*k + 0*k**3 + 0 + 0*k**2 + 1/56*k**8. Find the third derivative of l(i) wrt i.
120*i**3
Let u(s) = -5*s**2 - 6. Let p be (0 + -1)/((-2)/(-10)). Let y(t) = 2 + 5 - 2 + 2 + 6*t**2. Let l(a) = p*u(a) - 4*y(a). Find the first derivative of l(i) wrt i.
2*i
Let q(r) be the first derivative of 2*r**7/7 + 13*r**3/3 + 18. Find the third derivative of q(s) wrt s.
240*s**3
Let u(n) be the second derivative of n**5/20 - n**3/2 + 3*n**2/2 - n. Let r(q) be the first derivative of u(q). What is the first derivative of r(o) wrt o?
6*o
Let b be ((-18)/12)/((-6)/16). What is the third derivative of 5*u**2 - 81*u**4 + 81*u**b - 2*u**5 wrt u?
-120*u**2
Let w be 1*(-3 + 38/12)*2. Let r(c) be the third derivative of 0*c**4 + 0*c - w*c**3 - 1/20*c**5 + 0 + 2*c**2. Differentiate r(u) wrt u.
-6*u
Let x be (-10)/(-3) - 10/(-15). Differentiate -x + 0 + k**4 + 1 wrt k.
4*k**3
Suppose -4*h - 30 = -8*h + z, -2*z = -5*h + 39. Find the third derivative of 3*l**5 + h*l**2 - 9*l**2 - 2 + 2 wrt l.
180*l**2
Let j = 7 - -1. Suppose -2*w = 4*y - j, 4*w + 4*y = -w + 14. Differentiate w + 0 - 4*n**2 + 2*n**2 wrt n.
-4*n
Let x(h) be the first derivative of -3*h**4/2 - h**2/2 + 6. What is the second derivative of x(p) wrt p?
-36*p
Let x(y) be the third derivative of 0*y**7 + 0*y**5 + y**2 + 1/8*y**4 + 0 + 1/42*y**8 + 0*y**3 + 0*y**6 + 0*y. What is the second derivative of x(b) wrt b?
160*b**3
Let r(g) be the third derivative of 1/24*g**4 + 0*g**5 + 0 - 1/60*g**6 - 3*g**2 + 0*g + 0*g**3. Find the second derivative of r(i) wrt i.
-12*i
Let f = -5 - -8. Let l(h) = 6*h**3 - 4*h**2 + 1. Let t(i) = 5*i**3 - 3*i**2 + 1. Let r(q) = f*l(q) - 4*t(q). Differentiate r(u) wrt u.
-6*u**2
Let u(p) = 42*p**3 - 2*p**2 - 36. Let s(g) = -2*g**3 + 1. Let f(y) = -2*s(y) + u(y). What is the first derivative of f(v) wrt v?
138*v**2 - 4*v
Let p(q) be the second derivative of -q**7/7 + 5*q**3 - 15*q. Find the second derivative of p(d) wrt d.
-120*d**3
What is the second derivative of 19*y - 6*y + 0*y**2 - 16*y**2 + 3*y**2 wrt y?
-26
Let k be 4/(-6) + 21/18. Let m(a) be the second derivative of -2*a + 0 + k*a**2 - 1/3*a**3. Find the first derivative of m(v) wrt v.
-2
Let p = 24 + -22. Let j(s) be the second derivative of 1/12*s**4 - s**p + 0 + 2*s + 0*s**3. Find the first derivative of j(u) wrt u.
2*u
Let v(q) = -q**4 - 5*q**2 - 2*q + 7. Let r(l) = l**4 + 6*l**2 + l - 8. Let w(z) = 5*r(z) + 6*v(z). Differentiate w(u) with respect to u.
-4*u**3 - 7
What is the third derivative of -2*c**5 + 3*c**2 - 16*c**4 + 35*c**4 - 7*c**2 - 4 + 3*c**5 wrt c?
60*c**2 + 456*c
Let j(o) = -o + 8. Let m be j(6). Find the second derivative of 0*x**m + 2*x + 3*x**2 - 2*x**2 - 2*x**2 wrt x.
-2
Let f(s) be the third derivative of -s**9/42 - 11*s**5/60 + 5*s**2. What is the third derivative of f(m) wrt m?
-1440*m**3
What is the derivative of -15*u + 5 - 3 + 36*u + 3 wrt u?
21
Let r(f) be the third derivative of f**9/756 - f**5/40 + f**3/6 - f**2. Let j(i) be the first derivative of r(i). What is the second derivative of j(c) wrt c?
80*c**3
Let a be 7 - 1/(3/(-3)). Let v = a + -5. What is the third derivative of -p**2 + 0*p**2 - v*p**6 + 3*p**2 wrt p?
-360*p**3
Let v(c) = 2 - c**3 - 7*c + 6 + 0*c**2 - 6 + 8*c**2. Let y be v(7). Find the third derivative of -2*o**2 - o**6 + o**y + 4*o**2 - o**2 wrt o.
-120*o**3
Let b be 4/(-4 + 28/6). Let a(w) be the first derivative of 1/2*w**b + 0*w**2 + 0*w + 0*w**5 - 4 + w**3 + 0*w**4. Find the third derivative of a(m) wrt m.
180*m**2
Let q(p) = -p**2 + p + 1. Let s = 3 - -1. Let h(r) = -r**2 + 9*r + 4. Let l(m) = s*q(m) - h(m). Find the second derivative of l(n) wrt n.
-6
Let f(q) = -3*q + 21. Let s(c) = c. Let k(p) = f(p) - 2*s(p). Differentiate k(x) wrt x.
-5
Let i(u) = -u**3 - 8*u**2 + u + 10. Let g be i(-8). Find the first derivative of 1 - 3 + g - 1 + k wrt k.
1
Let t(m) be the second derivative of 0*m**3 - 8*m + 0*m**4 + 0 + 3/10*m**5 - 5/2*m**2. Find the first derivative of t(y) wrt y.
18*y**2
Suppose 19 = 5*p + 4. Find the second derivative of 2*r + 0*r - 7*r**3 + 3*r**p wrt r.
-24*r
Let d(h) be the second derivative of h**5/20 - h**4/2 + 5*h**2/2 - 2*h. Let m be d(6). What is the third derivative of 16*v - 16*v + v**2 - v**m wrt v?
-60*v**2
Suppose -2*u + 8 = 2. Let b be (-1)/(u/(-3)) + 1. What is the third derivative of -b*r**6 - 6*r**2 - r**2 + 3*r**2 + 3*r**6 wrt r?
120*r**3
Let s(o) be the first derivative of o**4/2 - 14*o + 8. Differentiate s(h) wrt h.
6*h**2
Let h(g) = 21*g**3 + 8*g**2 - 8*g - 4. Suppose 4*c = 5*c - 3. Let p(q) = -7*q**3 - 3*q**2 + 3*q + 1. Let t(v) = c*h(v) + 8*p(v). Differentiate t(b) wrt b.
21*b**2
Find the second derivative of -6*r + 9*r - 10*r**4 - 7*r wrt r.
-120*r**2
Find the 