9 + 9. Suppose 0 = 4*n - k - 8. What is the second derivative of 5*c**n - 4*c - 3*c**5 - 5*c**2 wrt c?
-60*c**3
Let u(d) be the first derivative of -d**3 + 2*d**2 - 6*d + 3. Let p(f) = f**2 - f + 1. Let a(s) = 4*p(s) + u(s). What is the derivative of a(l) wrt l?
2*l
Let k be (0 - -2)/(0 - 2). Let y be (4 + k)*(3 - 2). What is the derivative of -3*l**3 + 2*l**4 + 1 + y*l**3 wrt l?
8*l**3
Find the second derivative of x + x**4 + 2 + 14*x - 2 wrt x.
12*x**2
Let v(z) = -z**3 - 4*z**2 - 3*z - 8. Let n be v(-4). Find the third derivative of -n + 4 + 9*p**3 - p**2 wrt p.
54
Find the first derivative of -45 + 3 + 5*x**2 + 4*x**2 - 13*x**2 - 4*x wrt x.
-8*x - 4
What is the second derivative of 0*a**5 - 4*a - 2*a**5 + 12*a - 2*a**5 wrt a?
-80*a**3
What is the second derivative of -24*g + 48*g**4 + 39*g**4 - 38*g**4 wrt g?
588*g**2
Let x(h) be the second derivative of h**6/60 + h**3/2 - 3*h**2/2 + 3*h. Let t(u) be the first derivative of x(u). Differentiate t(c) wrt c.
6*c**2
Let r be (110/30)/((-1)/(-3)). What is the first derivative of 1 + r*d**2 - 15*d**2 - 5 wrt d?
-8*d
Let v(j) be the second derivative of -7*j**6/30 + 3*j**2 + 7*j. What is the first derivative of v(m) wrt m?
-28*m**3
Let s(q) = -5*q**4 + 6*q**3 + 13*q**2 + 6*q + 6. Let n(l) = -l**3 - l - 1. Let b(j) = 6*n(j) + s(j). Find the third derivative of b(y) wrt y.
-120*y
What is the first derivative of 14 - 14*o**2 + 0*o**2 - 17 wrt o?
-28*o
Let r(t) = t**2 + t - 1. Let w = -1 + 3. Let i(a) = -5*a**2 + 2*a + 2. Let u(z) = w*r(z) + i(z). What is the second derivative of u(m) wrt m?
-6
Let y = -22 + 24. Find the second derivative of -11*r - r**2 - 4*r**y + 19*r wrt r.
-10
Let v(m) = -m**2 - m + 2. Let i(k) = -k. Let r be i(0). Let t be v(r). What is the third derivative of 0*u - t*u**2 - u**2 + 0*u + u**3 wrt u?
6
Suppose 13*i + 10 = 15*i. Find the third derivative of 5*x**i - 2*x**2 + 0*x**2 - 2*x**2 wrt x.
300*x**2
Let h(r) = -11*r**4 - 3*r**2 + 8*r - 8. Let j(q) = -4*q**4 - q**2 + 3*q - 3. Let u(d) = 3*h(d) - 8*j(d). What is the third derivative of u(o) wrt o?
-24*o
Let s(q) = -q**3 - q**2 + q + 1. Let u(r) = 8*r**4 - 20*r**3 - 20*r**2 + 20*r + 24. Let k(f) = -20*s(f) + u(f). What is the derivative of k(x) wrt x?
32*x**3
Let p(b) = 13*b**3 + 4*b**2 - 19*b + 4. Let q(z) = -z**3 + z**2 + 1. Let w(g) = p(g) - 4*q(g). Find the second derivative of w(u) wrt u.
102*u
Let b(c) = -c**2 - 10*c + 13. Let t be b(-11). Find the first derivative of 4*y**2 - 3*y**3 + 3 - 4*y**t wrt y.
-9*y**2
Let g(w) = w**2 - w + 2. Let j(d) = 1 + 1 - 4 + 5 - d. Let y(o) = -2*o. Let a be y(1). Let c(s) = a*j(s) + 3*g(s). Find the second derivative of c(l) wrt l.
6
Let d(z) be the first derivative of -3/5*z**5 + 0*z - 2/3*z**3 + 0*z**2 + 2 + 0*z**4. What is the third derivative of d(g) wrt g?
-72*g
Let n(x) be the second derivative of x**5/20 - 3*x**3/2 - 4*x. Find the second derivative of n(r) wrt r.
6*r
Let z(a) be the first derivative of -2/3*a**3 + 1/2*a**2 - 1 + 0*a. What is the second derivative of z(i) wrt i?
-4
Let r(v) be the second derivative of v**7/105 + v**3/2 + v**2 + v. Let t(b) be the first derivative of r(b). What is the first derivative of t(u) wrt u?
8*u**3
Let p(l) be the second derivative of -l**9/15120 - l**7/1260 - l**4/6 - 2*l. Let s(x) be the third derivative of p(x). Find the third derivative of s(g) wrt g.
-24*g
What is the second derivative of -77*b**2 - 50 + 6*b + 94 - 47 wrt b?
-154
Let x(t) be the first derivative of 0*t - 2/5*t**5 + 7 + 0*t**2 - 11/3*t**3 + 0*t**4. Find the third derivative of x(i) wrt i.
-48*i
Let p(r) = 2*r**2. Let h be p(-1). Suppose 3*t - t = -h*g + 4, 0 = -g. What is the third derivative of -t*j**2 - j**2 + 0*j**3 - 4*j**3 + j**3 wrt j?
-18
Let w(l) be the second derivative of 5*l**4/12 + 7*l**2/2 + 11*l. What is the derivative of w(c) wrt c?
10*c
Let q = -3 - -6. Let p(j) = j**3 + 4*j**2 + 2*j - 1. Let w be p(-2). What is the second derivative of -a + a**q - 2*a**4 - a**w wrt a?
-24*a**2
Suppose 2*z - 22 = -2*z - 2*n, 3*n - 23 = -4*z. Differentiate 2*u**4 + z*u**4 - 5*u**4 + 1 + 6*u**4 with respect to u.
32*u**3
Let m(p) be the first derivative of -3*p**2/2 + 7*p + 9. What is the first derivative of m(s) wrt s?
-3
Let r(o) be the first derivative of -4*o**3/3 - o**2/2 + 54*o + 56. Find the first derivative of r(j) wrt j.
-8*j - 1
Let y(n) be the third derivative of 13*n**8/168 - n**5/12 + 41*n**2. Find the third derivative of y(l) wrt l.
1560*l**2
Let o(m) be the second derivative of -m**8/3360 - m**6/360 + m**4/6 + m. Let h(f) be the third derivative of o(f). Find the second derivative of h(q) wrt q.
-12*q
Suppose 2*o = -2*o - 4*a, -o + 4*a = 15. Let g(u) = 3*u - 4. Let i(j) = 6*j - 8. Let h(k) = o*i(k) + 5*g(k). Differentiate h(q) wrt q.
-3
Let h be (1/(-12))/((-90)/54). Let r(c) be the second derivative of 0*c**2 - 1/12*c**4 + c + h*c**5 + 0*c**3 + 0. Find the third derivative of r(d) wrt d.
6
Suppose 2 = 2*v - 2*p, 0*v = v - 3*p - 3. Let o(h) be the first derivative of h + 0*h**2 + v*h**3 - 3 + 0*h**4 - 3/5*h**5. What is the derivative of o(s) wrt s?
-12*s**3
Find the second derivative of 17*u - 26*u**2 + 0*u + 9*u + 0*u wrt u.
-52
Let w(s) = s**2 + s - 14. Let y be w(-6). What is the third derivative of -4*d**2 + 3*d**2 - y*d**5 + 15*d**5 wrt d?
-60*d**2
Find the third derivative of -102*z**3 + 55*z**3 + 2*z**2 + 59*z**3 + 4*z wrt z.
72
What is the second derivative of -6503 + 6503 - 28*u**2 + 29*u wrt u?
-56
What is the third derivative of 19*s**2 + 3*s**6 - 3*s + 3*s - 20*s**6 wrt s?
-2040*s**3
Find the second derivative of 4*x + 3*x**3 + 0*x + 2*x wrt x.
18*x
Suppose -15 = -h - 11. Differentiate 7*k**2 + 5*k**2 - 5*k**2 - h + 0*k**2 wrt k.
14*k
What is the third derivative of 7*w**4 - 2*w**4 - 9*w**2 + 2*w**4 - 4*w**2 wrt w?
168*w
Let q(b) be the third derivative of -17*b**5/60 + 13*b**3/3 - 36*b**2. Differentiate q(a) wrt a.
-34*a
Let r(l) be the first derivative of -2/5*l**5 - 3 + 2/3*l**3 + 0*l**2 + 0*l**4 + 0*l. Find the third derivative of r(z) wrt z.
-48*z
Find the second derivative of -35 + 0*w**3 + 33 - 2*w**3 - 46*w wrt w.
-12*w
Let x = 3 - 3. Let p(f) be the second derivative of 0*f**3 + 1/2*f**2 + f + 0 + x*f**4 + 1/10*f**5. Differentiate p(k) wrt k.
6*k**2
Let k(u) be the third derivative of u**7/2520 - u**5/40 - u**4/8 + 2*u**2. Let s(a) be the second derivative of k(a). Differentiate s(y) with respect to y.
2*y
Suppose -5*l + 12 = -l. What is the second derivative of -2*a**4 - 2*a**l - 2*a + 2*a**3 wrt a?
-24*a**2
Let l(j) be the second derivative of -3/2*j**2 + 0 - 3/20*j**5 - 3*j + 0*j**4 + 0*j**3. Differentiate l(d) wrt d.
-9*d**2
Let i(p) = -5*p - 7. Let n(d) be the first derivative of 13*d + 9/2*d**2 - 3. Let v(m) = -11*i(m) - 6*n(m). What is the derivative of v(r) wrt r?
1
Let t(j) be the third derivative of 0*j + 0*j**3 - 1/30*j**5 + 1/12*j**4 - 3*j**2 + 0. Find the second derivative of t(f) wrt f.
-4
What is the third derivative of 3*b**2 + 5*b**2 - 17*b**4 + 27*b**4 - 2*b**2 wrt b?
240*b
Let c(s) be the first derivative of 37*s**2/2 + 2*s + 42. Find the first derivative of c(w) wrt w.
37
Suppose 2*f = -f + 6. Suppose a = -f*a. What is the third derivative of a*g**6 + 0*g**6 + g**2 + g**6 wrt g?
120*g**3
Let c(v) be the third derivative of 1/60*v**6 + 0 + 0*v**5 + 0*v - 1/12*v**4 + 0*v**3 + 3*v**2. Find the second derivative of c(y) wrt y.
12*y
Find the third derivative of 0*m - 13*m**6 + 18*m**2 + 0*m + 10*m**6 wrt m.
-360*m**3
Let b(l) be the second derivative of 13*l**8/28 + 7*l**4/6 + 10*l. Find the third derivative of b(o) wrt o.
3120*o**3
Let l = -3 - -5. What is the second derivative of 0*v**l - 2*v**2 - 6*v + 7*v wrt v?
-4
Let y be 1/(2/18*3). What is the first derivative of -5 + 2*m**3 + 4 + y wrt m?
6*m**2
Let b = 9 - 6. Let m = -2 - -5. Find the second derivative of 2*y - 4*y + 3*y**m - 2*y - y**b wrt y.
12*y
Let s(w) = 3*w**3 + 6*w**2 - 16*w. Let h(k) = 5*k**3 + 13*k**2 - 33*k. Let y(n) = 6*h(n) - 13*s(n). Find the second derivative of y(p) wrt p.
-54*p
What is the derivative of -10*a + 35 + 34 - 75 wrt a?
-10
What is the third derivative of -10*r**2 + 17*r**2 - 12*r**3 - 8*r**2 wrt r?
-72
Suppose -b = -2*b - 2. Let q be (6/4)/(b/(-4)). Find the first derivative of -m**4 + 0*m**4 + q*m**4 - 2 wrt m.
8*m**3
What is the d