 - 1. Let l(n) = -n**2. Let w(g) = k(g) - 5*l(g). Let s be w(-2). What is the derivative of s + t**4 - 4*t**3 + 4*t**3 wrt t?
4*t**3
Suppose -2*x = m + 3, -5*x = -8*m + 3*m + 45. What is the second derivative of -m*h**4 - 5*h + 10*h + 3*h**4 wrt h?
-24*h**2
What is the second derivative of 0*d + d - 6*d**5 + 2*d - 4*d wrt d?
-120*d**3
Let u(n) be the first derivative of -1 + 0*n**4 + 0*n + 0*n**2 + 3/5*n**5 - n**3. What is the third derivative of u(a) wrt a?
72*a
Let i(k) be the second derivative of k**6/360 + k**4/6 + 2*k**3/3 - 3*k. Let n(r) be the second derivative of i(r). What is the first derivative of n(h) wrt h?
2*h
Let f(m) be the second derivative of -m**10/10080 - m**6/240 - m**4/6 + 3*m. Let v(r) be the third derivative of f(r). Find the second derivative of v(l) wrt l.
-60*l**3
Let i(g) = -3*g**3 - g + 1. Let w be i(1). Let j = w + 5. What is the second derivative of -5*c - 3*c**2 + 3*c + 4*c**j wrt c?
2
Let i = -9 + 20. Suppose 3*y - 4*s = 0, y = 4*s - i + 3. What is the third derivative of 3*x**2 - x**2 + 0*x**2 - 2*x**y wrt x?
-48*x
Suppose -13*m = -18*m + 15. Let o(a) be the third derivative of 0*a**4 + 0*a + 1/6*a**m + 0 + a**2 + 1/30*a**5. What is the first derivative of o(v) wrt v?
4*v
Let p(d) be the third derivative of 0 + 0*d**5 + 1/120*d**6 + d**2 + 1/8*d**4 + 0*d**3 + 0*d. Find the second derivative of p(f) wrt f.
6*f
What is the third derivative of 236*t**2 - 253*t**2 + 3*t**3 + 8*t**3 wrt t?
66
Let t(b) = 19*b + 1. Let u(a) = 29*a + 2. Let m(l) = -8*t(l) + 5*u(l). Differentiate m(c) with respect to c.
-7
What is the first derivative of 0 - 3 - 44*y**2 - 3 + 59*y**2 wrt y?
30*y
Let b = 15 + -10. What is the second derivative of 2*y**5 - b*y + 4*y - 3*y wrt y?
40*y**3
What is the first derivative of 27*x**4 - 55*x**4 + 4 + 23*x**4 wrt x?
-20*x**3
Find the second derivative of 7*y - 2*y**2 + 7*y + 2*y**2 + 5*y**4 wrt y.
60*y**2
Let g(t) be the third derivative of t**6/40 + 11*t**4/24 - 3*t**2. Find the second derivative of g(n) wrt n.
18*n
Let r be ((1 - 0) + -2)/1. Let p = 3 + r. What is the third derivative of -3*s**2 - 3*s**5 + s**5 - p*s**5 wrt s?
-240*s**2
Let i(u) = u + 3. Let q(r) = -r**3 + 9*r**2 - r + 6. Let s be q(9). Let z be i(s). What is the second derivative of 0*y + z*y**5 - 2*y**5 - y wrt y?
-40*y**3
Find the third derivative of 3 + 11*m**2 - 17*m**3 - 15*m**2 + 2*m**4 + 7*m**2 wrt m.
48*m - 102
Let u be 0/(-6) + 2*1. What is the third derivative of 0*k**2 - 4*k**2 + k**3 + k**u - k**2 wrt k?
6
What is the derivative of -2 - 44*k**2 + 44*k**2 - 2 - 20*k**3 wrt k?
-60*k**2
Let b = 3 + 2. Find the third derivative of 0*k**5 - 2*k**2 + 0*k**5 + 3*k**b wrt k.
180*k**2
Find the first derivative of -1 - s - 2 + 11 wrt s.
-1
Let f(g) = g - 3. Let y(o) = o - 2. Let k(r) = 3*f(r) - 2*y(r). Let d be k(7). Find the third derivative of 2*s**2 + s**3 - s**3 - d*s**3 wrt s.
-12
Let n(p) be the first derivative of -p**7/14 - p**3/2 - 6*p + 8. Let f(u) be the first derivative of n(u). Find the second derivative of f(z) wrt z.
-60*z**3
Let j(r) = -13*r + 16. Let y(t) = -66*t + 81. Let s(o) = 24*j(o) - 5*y(o). Differentiate s(a) wrt a.
18
Suppose -2*k + 0 = -8. Let l(s) = -s. Let y be l(-1). What is the derivative of -2*p**k - p**4 + 4*p**4 + y wrt p?
4*p**3
Suppose -b + 3 = -0. Differentiate 3*y**3 - b*y**3 - 6*y**3 + 1 wrt y.
-18*y**2
Find the third derivative of -7*t**2 + 5*t**2 - 5*t**3 + 0*t + 0*t wrt t.
-30
Let w be ((-26)/(-4))/(6/12). What is the derivative of -10 + w*x - 10*x**2 - 13*x wrt x?
-20*x
Let s(p) be the second derivative of 5*p**3/3 + 11*p**2/2 - 5*p. What is the derivative of s(l) wrt l?
10
Let u(f) be the third derivative of f**8/3360 + f**7/630 - f**4/12 - 2*f**2. Let n(s) be the second derivative of u(s). Find the third derivative of n(t) wrt t.
12
Let k be (20/(-8))/((-2)/4). What is the derivative of k*c**4 + 9*c**2 - 9*c**2 - 1 - c**4 wrt c?
16*c**3
Let x(h) be the third derivative of 1/15*h**5 + 0 + 0*h**3 + 2*h**2 + 0*h + 1/12*h**4. Find the second derivative of x(c) wrt c.
8
What is the second derivative of 2*x + 4*x**3 - 10*x**3 - 3*x**3 wrt x?
-54*x
Let o(y) be the first derivative of -y**7/280 + y**6/90 - y**3/3 + 2. Let t(f) be the third derivative of o(f). What is the third derivative of t(x) wrt x?
-18
What is the derivative of -2 + 0*p**4 + 3*p**4 + 1 - 6*p**4 wrt p?
-12*p**3
Let s(a) = -a**4 - 5*a**3 + 20. Let x(i) = 3*i**3 - 10. Let w(m) = 6*s(m) + 10*x(m). Differentiate w(k) wrt k.
-24*k**3
Let t(x) be the first derivative of -x**10/5040 - x**6/360 - x**3 + 1. Let n(a) be the third derivative of t(a). What is the third derivative of n(d) wrt d?
-120*d**3
Let k(o) = -o + 26. Let i be k(0). What is the second derivative of -6*u**4 + 26 - i - 10*u wrt u?
-72*u**2
What is the second derivative of -5*s**3 + 5*s + s**3 - 5*s**3 wrt s?
-54*s
Suppose -7*c = -3*c - 2*g - 34, 0 = 4*c - 5*g - 49. What is the third derivative of -2*y**4 + y**4 - c*y**2 + 7*y**2 - y**4 wrt y?
-48*y
Let z(l) be the first derivative of -12*l**7/7 + 10*l**3/3 - 7. Find the third derivative of z(p) wrt p.
-1440*p**3
Let p(r) be the first derivative of 0*r**4 + 0*r + 1/2*r**2 + 0*r**3 - 2 + 1/5*r**5. Find the second derivative of p(x) wrt x.
12*x**2
Let f = -83 - -83. Let o(s) be the first derivative of f*s**2 + 1/3*s**3 - 1 - 3/4*s**4 + 0*s. What is the third derivative of o(w) wrt w?
-18
Let j(b) be the second derivative of -b**9/15120 + b**5/40 + b**4/4 + 2*b. Let g(s) be the third derivative of j(s). What is the first derivative of g(k) wrt k?
-4*k**3
Let f(q) be the second derivative of -15*q**8/28 + 11*q**4/3 + 5*q. Find the third derivative of f(n) wrt n.
-3600*n**3
Let z(q) = q**5 - q**4 + q**2 + q + 1. Let d(a) = -17*a**5 - 2*a**4 + 2*a**2 + 11*a + 2. Let c(v) = d(v) - 2*z(v). What is the second derivative of c(s) wrt s?
-380*s**3
Let v(k) be the second derivative of -k**6/2 - 17*k**4/12 - 37*k. What is the third derivative of v(d) wrt d?
-360*d
Let n(m) be the first derivative of -m**9/378 - 3*m**5/40 - 5*m**3/3 + 6. Let u(q) be the third derivative of n(q). Find the second derivative of u(a) wrt a.
-160*a**3
Let l(a) be the first derivative of a**4/24 + 3*a**3/2 - 9*a**2/2 + 2. Let r(k) be the second derivative of l(k). Find the first derivative of r(v) wrt v.
1
Let k(f) be the third derivative of f**7/105 + f**4/3 - 19*f**2. What is the second derivative of k(b) wrt b?
24*b**2
Let y(l) be the third derivative of 1/20*l**5 + 0*l**3 - 5*l**2 + 0*l - 1/12*l**4 + 0. What is the second derivative of y(h) wrt h?
6
Find the third derivative of 0*f**4 + f**4 - 6*f**2 + 7*f**2 wrt f.
24*f
What is the second derivative of 2*y + 2*y**5 + 19*y**3 - 19*y**3 wrt y?
40*y**3
Let a(o) be the third derivative of o**6/180 - o**4/6 + o**3/2 - 3*o**2. Let r(x) be the first derivative of a(x). Differentiate r(l) wrt l.
4*l
Let s(t) = -1 - 1 - 6*t - 2 + 3*t**2. Let g(j) = -3*j**2 + 7*j + 5. Let k = 19 + -23. Let i(z) = k*g(z) - 5*s(z). Find the second derivative of i(f) wrt f.
-6
Suppose -4*q + 23 - 3 = 0. Let m(w) be the third derivative of 0 - w**2 + 0*w**4 + 1/60*w**q + 0*w - 1/6*w**3. Differentiate m(y) with respect to y.
2*y
Suppose 19 = 2*m - 3*d, 0 = 4*m + 3*d - 5 + 12. Find the third derivative of -17*x + 4*x**m + 17*x + 6*x**3 + 5*x**2 wrt x.
36
Let n(k) be the second derivative of 2*k**7/7 - 11*k**3/6 + 5*k. What is the second derivative of n(o) wrt o?
240*o**3
What is the derivative of -12*u**3 - u**4 + 6*u**3 - 26 + 6*u**3 wrt u?
-4*u**3
Let j = -1 + 8. What is the derivative of 1 - 3*a + 0*a + j wrt a?
-3
Let n(i) = 11*i + 6. Let q(d) = -1. Let w(g) = -n(g) + 4*q(g). What is the first derivative of w(t) wrt t?
-11
Let m = 9 + -6. Let u(i) be the second derivative of i + 1/10*i**5 + 0*i**2 + 0 + 0*i**m - 1/12*i**4. Find the third derivative of u(a) wrt a.
12
Let x = 6 + -1. Find the second derivative of 3*g - 5*g - 2*g**2 + 0*g + x*g wrt g.
-4
Let z be (-3*(-40)/(-12))/(-2). Differentiate -4*i**4 + z*i**4 + 8 - 2*i**4 wrt i.
-4*i**3
Find the second derivative of 7*f**3 + 36*f**5 - 12*f + 41*f - 7*f**3 wrt f.
720*f**3
Let a(c) be the third derivative of 1/60*c**5 + 1/42*c**7 + 0*c + 0 + 0*c**6 + 0*c**4 + 0*c**3 + c**2. Find the third derivative of a(m) wrt m.
120*m
Suppose 2*t = -t + 3*h, 4*t + 2*h - 12 = 0. Wha