 = -3*z + 63, -5*z - 42 = -4*t + 73. Find the second derivative of -6*o**2 + 2*o - t + 30 wrt o.
-12
Let h(m) = m**3 - 4*m**2 + 4*m. Let i = 12 - 9. Let o be h(i). What is the second derivative of o*k + 4*k**4 - 2*k**4 - 2*k wrt k?
24*k**2
Let x(h) be the third derivative of -h**6/120 + 7*h**3/6 - 5*h**2. What is the derivative of x(k) wrt k?
-3*k**2
Let k(y) = -y - 2. Let c be k(-4). What is the third derivative of -21 + w**3 + w**c + 21 wrt w?
6
Let r(z) = z - 1. Let y(p) = 6*p - 4. Let s(n) = 4*r(n) - 2*y(n). Find the first derivative of s(l) wrt l.
-8
Let o(w) = 6*w**4 + 49*w**2 + 2*w - 2. Let q(f) = 7*f**4 + 49*f**2 + 3*f - 3. Let x(m) = -3*o(m) + 2*q(m). Find the third derivative of x(z) wrt z.
-96*z
Find the second derivative of 3*z**4 + 6*z + 3*z + 0*z wrt z.
36*z**2
Let b(p) = -p**5 - 2*p**4 - 2*p**2 + 5*p. Let l(o) = 3*o**4 + 3*o**2 - 6*o. Let m(i) = -3*b(i) - 2*l(i). What is the second derivative of m(f) wrt f?
60*f**3
Let f(b) = -65*b**2 + 53. Let y(j) = -130*j**2 - j + 104. Let r(u) = 5*f(u) - 2*y(u). What is the derivative of r(l) wrt l?
-130*l + 2
Let y(d) = d**5 - d**4 - d**3 - d. Let u(t) = 13*t**5 - 6*t**4 - 6*t**3. Let p(i) = -u(i) + 6*y(i). What is the second derivative of p(c) wrt c?
-140*c**3
Let u(z) = -z**3 + 6*z**2 + 8*z - 6. Let s be u(7). What is the derivative of -11*l + 2*l**2 + s + 11*l wrt l?
4*l
Let x(p) = -p**4 - p**3 - p**2 - p. Let k(v) = 27*v**4 + 2*v**3 - 12*v**2 + 2*v. Let q(j) = -k(j) - 2*x(j). Find the third derivative of q(b) wrt b.
-600*b
Let n(a) = -a - 2. Suppose -21 = 4*j - 5. Let s be n(j). Differentiate 0*q**4 - 1 - s + q**4 + 2*q**4 wrt q.
12*q**3
Let g(w) be the third derivative of w**6/20 - w**3/2 + 7*w**2. Differentiate g(n) with respect to n.
18*n**2
Let c(r) be the third derivative of 0*r + 0 - 7/60*r**5 + 0*r**6 + 0*r**7 + 0*r**3 + 0*r**4 + 3*r**2 + 1/84*r**8. What is the third derivative of c(k) wrt k?
240*k**2
Let r(j) be the third derivative of 0*j**4 + 0 + j**3 + 0*j - 1/30*j**6 + 0*j**5 - j**2. Find the first derivative of r(w) wrt w.
-12*w**2
Let s be (-4 - -3) + (3 - -1). What is the third derivative of -7*k**2 - s*k**5 + 4*k**2 + 0*k**2 wrt k?
-180*k**2
Suppose 6*p = p + 4*z + 8, 5*z + 10 = -2*p. Suppose -9*h = -4*h. Differentiate h*m + p*m + m + 1 with respect to m.
1
Let u(n) be the first derivative of n**5 + 5*n**2/2 - 63*n + 58. Find the first derivative of u(v) wrt v.
20*v**3 + 5
Let c(s) be the first derivative of -s**7/14 - s**4/6 + 2*s - 4. Let i(m) be the first derivative of c(m). Find the third derivative of i(j) wrt j.
-180*j**2
Let r(y) be the third derivative of -y**7/30 - 5*y**3/3 + 2*y**2. Differentiate r(h) with respect to h.
-28*h**3
Differentiate l**3 + 8*l**4 - 6 - 3 - l**3 with respect to l.
32*l**3
What is the first derivative of -2*f**2 + 0 - 2*f + 9 - 10 + 4 wrt f?
-4*f - 2
Suppose -4*h - 20 = -9*h. Let o be 1/h - 3/(-4). What is the derivative of -o + 4*z**3 - 7*z**3 - 2 wrt z?
-9*z**2
Find the third derivative of -3*k**4 + 3*k**4 + 38*k**6 - 23*k**6 + 16*k**2 wrt k.
1800*k**3
Suppose -r + 3*u = -37, u = -5*r - 3*u + 90. Suppose 2*p + 5*l - r = 0, 3*l - 6 = -0*l. Find the third derivative of -3*i**6 + 0*i**p + i**6 + 3*i**2 wrt i.
-240*i**3
Let y be (16/10)/((-6)/(-15)). What is the second derivative of -y*c + 0*c**2 + 6*c - 4*c**2 - c wrt c?
-8
Find the second derivative of 0*y + 10*y + 4*y - 11*y**3 wrt y.
-66*y
Let u(g) be the third derivative of -5*g**9/168 - 7*g**5/10 - 10*g**2. Find the third derivative of u(j) wrt j.
-1800*j**3
Let k(q) = -q**3 - 10*q**2 - 9*q. Let b be k(-9). Suppose 0 = -b*l + 3*l. What is the second derivative of l*c**2 - c + c + c**2 + 3*c wrt c?
2
Let o(g) = g + 18. Let x be o(-7). What is the second derivative of -x*m + m**5 - 2*m + 14*m wrt m?
20*m**3
Let f(i) = i**3 - 2*i**2 + 2*i - 2. Let w be f(2). Differentiate -39*u**2 + 20*u**2 + 1 + 15*u**w wrt u.
-8*u
Let a(y) = 5*y**2 - 2*y. Let r be a(2). Suppose -u - 4 + r = 4*q, -2*q + 2*u = 4. Find the second derivative of z - 2*z**4 - z - q*z wrt z.
-24*z**2
Let c(k) = -k**2 - k. Let x(n) be the second derivative of -n**4/3 + n. Let s = 0 + -2. Let t(w) = s*c(w) + x(w). Find the second derivative of t(l) wrt l.
-4
Let u(t) = -t**3 + 3*t**2 + t - 1. Let l be u(3). What is the derivative of 4*g - 2*g + 3 - 2*g - l*g**4 wrt g?
-8*g**3
Let d be (-5)/6 + 3 + -2. Let v(o) be the third derivative of 1/12*o**4 + d*o**3 + 0 + o**2 + 0*o. What is the derivative of v(a) wrt a?
2
Suppose 4*q + 0*q = 24. What is the third derivative of -10*s**2 + 14*s**2 - s**6 - 2*s**q wrt s?
-360*s**3
Let o(l) = l**3 + 5*l**2 + 4*l + 2. Let a be o(-4). Differentiate 3*j**2 + 0*j**2 - 4*j**2 - 6 + a*j**2 with respect to j.
2*j
Let g(l) be the third derivative of -l**6/90 - l**4/8 + 2*l**3/3 + 6*l**2. Let t(x) be the first derivative of g(x). Differentiate t(b) wrt b.
-8*b
Let v(p) be the third derivative of p**9/3780 + p**5/120 - p**4/6 + p**2. Let d(n) be the second derivative of v(n). Differentiate d(h) with respect to h.
16*h**3
Find the second derivative of 11*m + 3*m**2 + 5*m**2 + 2*m wrt m.
16
Differentiate -28*l**2 - 41 + 21 + 39 with respect to l.
-56*l
Let z(t) be the first derivative of 3*t**4 + 4*t**3/3 + 12. What is the third derivative of z(o) wrt o?
72
Let a(g) = -5*g + 1. Suppose w + 13 = 3*d, -3*d - 2*w + 2 = 1. Let x(s) = 6*s - 1. Let m(q) = d*x(q) + 4*a(q). Find the first derivative of m(f) wrt f.
-2
Let f(s) = -9*s**4 - 5*s**3 - 5*s**2 - 3. Let m(g) = -g**4 - g**3 - g**2 - 1. Let k(c) = -f(c) + 5*m(c). What is the derivative of k(i) wrt i?
16*i**3
Let y(l) be the third derivative of -29*l**9/504 + 31*l**5/60 - 24*l**2 + 2. What is the third derivative of y(s) wrt s?
-3480*s**3
Let h(x) be the third derivative of x**8/336 - 7*x**5/60 + 5*x**2. What is the third derivative of h(m) wrt m?
60*m**2
Let o(b) be the third derivative of 3*b**2 + 1/60*b**6 - 1/60*b**5 + 0*b**4 + 0*b + 0 + 0*b**3. What is the third derivative of o(k) wrt k?
12
Let m = 24 + -21. Let w(y) be the first derivative of -1/2*y**2 - 1/3*y**m - 2 + 0*y. Find the second derivative of w(a) wrt a.
-2
Let t(c) = -19*c**3 - 10*c**2 - 7. Let d(l) = 6*l**3 + 3*l**2 + 2. Let s(g) = 7*d(g) + 2*t(g). Find the third derivative of s(m) wrt m.
24
What is the second derivative of 13*o - 20*o + 11*o + 17*o - 21*o**5 wrt o?
-420*o**3
What is the second derivative of -4*f - f**3 - 9*f**3 + 5*f wrt f?
-60*f
Let c(k) = -35*k**5 - 15*k**2 - 4*k. Let z(x) = -104*x**5 - 44*x**2 - 11*x. Let f(p) = 11*c(p) - 4*z(p). What is the third derivative of f(v) wrt v?
1860*v**2
Let s(v) be the second derivative of 7/2*v**2 + 3/10*v**5 - 5*v + 0*v**4 + 0*v**3 + 0. Find the first derivative of s(q) wrt q.
18*q**2
Let u(j) be the second derivative of j**4 - 3*j**3 - 10*j. Find the second derivative of u(s) wrt s.
24
Find the second derivative of 12*v**2 + 54*v**4 + 19*v**2 + 71*v - 31*v**2 wrt v.
648*v**2
Suppose 10 = -5*u + 4*a, 4*u + 5*a - 28 = a. Differentiate -3*m - u + 2*m - 2 + 1 with respect to m.
-1
Let s(q) be the second derivative of q**6/5 - q**4/4 - 2*q**2 - 50*q. What is the derivative of s(b) wrt b?
24*b**3 - 6*b
Find the first derivative of 2*w - 9*w + 13 + 9*w wrt w.
2
Find the third derivative of 12*z**2 - 6*z + 6*z**4 - 10*z**4 + 6*z wrt z.
-96*z
Let z(r) = 3*r + 65. Let t be z(-20). Let a(f) be the first derivative of 0*f**3 + 3 + 0*f**4 + 0*f**2 + 1/5*f**t + f. Find the first derivative of a(b) wrt b.
4*b**3
Suppose 0 = -b - b + 20. Let d(i) = 2*i - 11. Let l be d(b). What is the second derivative of -l*w + 3*w + w**4 + 4*w wrt w?
12*w**2
Let x(q) be the second derivative of q**6/15 - q**4 - q**3/6 + 29*q**2/2 + 4*q - 5. What is the second derivative of x(a) wrt a?
24*a**2 - 24
Let q(n) = -3*n + 10. Let r(b) = -3*b + 9. Let z(o) = 4*q(o) - 5*r(o). Differentiate z(p) with respect to p.
3
Find the second derivative of -54*q**4 + q + 0*q + 45*q**4 wrt q.
-108*q**2
Let r(o) be the second derivative of o**8/336 - 5*o**4/24 - 7*o**3/6 - 4*o. Let g(t) be the second derivative of r(t). Differentiate g(m) wrt m.
20*m**3
Let h(k) = k**2 + 7*k + 8. Let q be h(-6). What is the third derivative of 3 + 2*w**q + w**3 - 3 wrt w?
6
Let u(d) = d**3 - 3*d - 1. Let z(h) = h + 1. Let x(r) = -2*u(r) - 6*z(r). Differentiate x(j) with respect to j.
-6*j**2
Let 