he second derivative of s(d) wrt d.
-4
Let k(x) be the second derivative of 0*x**4 + 5*x + 0*x**2 - 1/6*x**6 + 0 + 1/2*x**3 + 0*x**5. Find the second derivative of k(w) wrt w.
-60*w**2
Suppose 18 = 5*j + r, 3*j = 2*j + 2*r - 3. What is the second derivative of j*l + 1 - 1 - 4*l + l**2 wrt l?
2
Let a = -9 + 13. What is the second derivative of -j - a*j**4 - 2*j**4 - 2*j - 3*j wrt j?
-72*j**2
Let d(n) be the first derivative of -n**7/210 + n**5/60 + n**3/3 + 5. Let s(z) be the third derivative of d(z). Find the second derivative of s(a) wrt a.
-24*a
Let q(p) = -24*p + 10. Let d(m) = 5*m - 2. Let b = -4 - 10. Let w(k) = b*d(k) - 3*q(k). Find the first derivative of w(f) wrt f.
2
Let i(b) be the second derivative of -b**7/840 - b**4/6 - 4*b**3/3 + 8*b. Let k(p) be the second derivative of i(p). What is the first derivative of k(c) wrt c?
-3*c**2
Let w(i) = 5*i**4 - 3*i**2 - 2*i + 3. Let k(c) = 11*c**4 - 5*c**2 - 5*c + 5. Let g(d) = 3*k(d) - 5*w(d). What is the second derivative of g(y) wrt y?
96*y**2
Suppose -6*h + 2*h = 12. Let m(w) = -2*w - 4. Let a be m(h). What is the derivative of -p + 2*p - a - 2*p wrt p?
-1
Let p(d) = 11*d**4 - 7*d**2 - 9*d + 7. Let f(v) = 5*v**4 - 3*v**2 - 5*v + 3. Let w(o) = -7*f(o) + 3*p(o). Find the second derivative of w(u) wrt u.
-24*u**2
Let z be (-2 - 0)*3/2. Let v be 3*z*6/(-27). Find the second derivative of 3*f + f**2 - 5*f - 2*f**v wrt f.
-2
Find the third derivative of -105*z**3 + 31*z**3 + 24*z**3 + 16*z**2 + 8*z**3 wrt z.
-252
Let n(y) be the second derivative of y**4/6 - 5*y**3/3 + 25*y. What is the second derivative of n(o) wrt o?
4
Suppose 4*d + 12 = 6*d. Let g = 9 - d. Differentiate -2*p - 8 + 2*p - g*p + 9 with respect to p.
-3
Find the third derivative of 0*n**4 + 6*n**4 + n**2 - 3*n**4 wrt n.
72*n
Let b(a) be the third derivative of 1/30*a**5 + 0*a + 0*a**3 + 0 + a**2 - 1/24*a**4. What is the second derivative of b(j) wrt j?
4
Let t be (3/(-2))/(9/(-30)). What is the second derivative of -5*n**5 + 24*n**3 + n**t - 24*n**3 + 3*n wrt n?
-80*n**3
Suppose 3*x - 5*h = 28, -3*x - 3*h - 12 = -0*x. Let t be 0/(x/(-2 - -1)). What is the first derivative of 0 + t - p + 1 + 0 wrt p?
-1
What is the second derivative of 4*k + 6*k - 3*k + 9*k**2 - 3*k wrt k?
18
Let s(i) = -i**3 - 8*i**2 + 8. Let n be s(-8). Let o = n - 6. Differentiate 2*g**o + 1 + 1 + 2 - 2 wrt g.
4*g
Let c = -88 - -529/6. Let d(g) be the first derivative of 0*g**5 + 0*g**3 + 0*g**4 - 2 - 3/2*g**2 + 0*g - c*g**6. What is the second derivative of d(o) wrt o?
-20*o**3
Suppose 3 = 3*p + 5*v, p + 5*v - 2 + 11 = 0. What is the derivative of g**3 + p*g**4 - g**3 - 3*g**4 + 1 wrt g?
12*g**3
Let l(k) be the third derivative of -k**7/210 - k**5/60 - 5*k**2. What is the third derivative of l(o) wrt o?
-24*o
Let b(h) be the first derivative of h**6/6 + 38*h**3/3 - 61. Find the third derivative of b(z) wrt z.
60*z**2
Suppose -8*a + 3*a - 5*a = 0. Let f(n) be the third derivative of 0*n**4 + a + 3*n**2 - 1/60*n**5 - 1/3*n**3 + 0*n. Differentiate f(k) with respect to k.
-2*k
Differentiate -3*i**3 + 2 - 3 - i**3 + 0*i**3 with respect to i.
-12*i**2
Suppose -5*i + 11 = -3*n, 2*n - 3*i + 14 = 2*i. What is the first derivative of 3*g**3 + 4 + 0*g**n - 5 wrt g?
9*g**2
Let l(n) = -8*n**4 - 4*n**3 + 1. Let v(c) = 8*c**4 + 5*c**3. Let k(m) = -5*l(m) - 4*v(m). What is the derivative of k(p) wrt p?
32*p**3
Let i(t) = t**3 + t**2 + t + 1. Let p(a) = -11*a**4 + 5*a**3 + 5*a**2 + 5*a - 9. Let g(z) = -5*i(z) + p(z). What is the first derivative of g(q) wrt q?
-44*q**3
Let b = 18 + 4. Let f be b/10 - 1/5. Find the first derivative of -j + j**3 + f*j**3 - 4 + j wrt j.
9*j**2
Let b(f) be the third derivative of 1/40*f**6 + 0 + 0*f + 0*f**3 + 0*f**4 - 1/12*f**5 - 5*f**2. What is the third derivative of b(o) wrt o?
18
Let a(w) = 4. Let b(j) = -3*j + 23. Let v(k) = 20*a(k) - 4*b(k). What is the first derivative of v(i) wrt i?
12
Let p(d) = -d + 1 - d**2 + 0*d + 0*d**2. Let n(h) = 7*h**2 + h - 4. Let j(q) = -n(q) - 4*p(q). What is the second derivative of j(w) wrt w?
-6
Let z(h) be the first derivative of -h**10/1008 - h**6/180 - 5*h**3/3 + 2. Let t(f) be the third derivative of z(f). What is the third derivative of t(p) wrt p?
-600*p**3
Let t(n) be the first derivative of -23*n**3/3 - 6*n - 5. Differentiate t(l) wrt l.
-46*l
Let k(y) = -y**2 + 7*y - 4. Let p be k(6). Find the third derivative of -10*b**2 + b**6 + b**6 + 12*b**p + 3*b**2 wrt b.
240*b**3
Suppose -c + 4*c = 9. Let o = 3 + -1. Differentiate 2 - a**c - o - 2 wrt a.
-3*a**2
Let f(g) = 20*g**2 + 8*g - 5. Let z be (-32)/(-4)*-1*1. Let x(d) = -7*d**2 - 3*d + 2. Let r(q) = z*x(q) - 3*f(q). What is the first derivative of r(t) wrt t?
-8*t
Find the third derivative of 1 - 19*t**5 - 535*t**2 + 548*t**2 - 1 wrt t.
-1140*t**2
Suppose -3*m - 4*p = -2, -5*m + 7*p + 42 = 4*p. What is the third derivative of m*q**5 - q**5 - 2*q**5 + 4*q**2 wrt q?
180*q**2
Let c = -24 - -26. Let v(z) be the third derivative of 0 + 1/6*z**3 + 0*z - c*z**2 - 1/12*z**4. Differentiate v(i) with respect to i.
-2
Let u(f) = 28*f**2 + 32*f. Let x(b) = 29*b**2 + 33*b. Let g(r) = -5*u(r) + 4*x(r). Find the second derivative of g(j) wrt j.
-48
Let f(b) = -11*b**3 - 2*b**2 + 2*b + 11. Let g(p) = 11*p**3 + 3*p**2 - 3*p - 12. Let t(i) = 3*f(i) + 2*g(i). Differentiate t(r) with respect to r.
-33*r**2
Let g(s) be the second derivative of -23*s**6/30 - 13*s**4/6 + 9*s. Find the third derivative of g(b) wrt b.
-552*b
Suppose 5*f = n - 15, 5*n - 4*f - 20 = -8. Let g(b) be the second derivative of b + n + 1/2*b**2 - 1/6*b**3. Differentiate g(u) wrt u.
-1
Let n = -2 - -3. Let y(h) = -1 + h - 1 - 2*h + n. Let l(m) = 4*m**2 - 7*m - 6. Let t(q) = l(q) - 6*y(q). Find the second derivative of t(p) wrt p.
8
Let f(m) be the second derivative of -3*m**5/10 - m**3/3 - 16*m. Find the second derivative of f(d) wrt d.
-36*d
Let q(y) = 19*y**3 + 5*y**2 + 9*y + 9. Let r(s) = -10*s**3 - 2*s**2 - 4*s - 4. Let x(j) = 4*q(j) + 9*r(j). Find the third derivative of x(f) wrt f.
-84
Find the first derivative of 3*t - 12*t**2 - 10 - 12*t**2 - 3*t wrt t.
-48*t
Let j(a) = 11*a**3 - 2*a**2 + 1. Let z be j(1). Suppose 0 = 3*b - b - z. What is the first derivative of 8 + p**2 - 9 + 5 - b*p**2 wrt p?
-8*p
Find the second derivative of 5*d**4 - d - 6*d**2 + 6*d**2 + 4*d wrt d.
60*d**2
Let f(j) be the second derivative of -7*j**3/6 + 9*j**2 - 4*j. Differentiate f(m) with respect to m.
-7
Let b(c) be the third derivative of -c**8/48 + c**4/24 + 7*c**2. What is the second derivative of b(o) wrt o?
-140*o**3
Let l(s) = -2*s**2 + 3*s - 1. Let y(a) = -3*a**2 + 4*a - 1. Let n(p) = 4*l(p) - 3*y(p). Differentiate n(f) wrt f.
2*f
Let r(y) = -y**3 - 15*y**2 - y - 12. Let x be r(-15). Differentiate -4 + 7 - x*v**3 + 9*v**3 + 3 with respect to v.
18*v**2
Let f(d) be the first derivative of 4*d**3/3 + 13*d**2 + 60. What is the second derivative of f(y) wrt y?
8
Let g(x) = -x**2 - 4*x + 3. Let o be g(-4). What is the first derivative of -4*j**3 - 4 + 4*j**3 - j**o wrt j?
-3*j**2
Let t(u) be the first derivative of -u**4/4 + 3*u**2/2 + 3*u + 3. Let s(n) be the first derivative of t(n). What is the first derivative of s(d) wrt d?
-6*d
Let d(a) = -8*a**3 + 64*a**2 - 9. Let c(l) = -2*l**3 + 16*l**2 - 2. Let n(j) = -9*c(j) + 2*d(j). What is the third derivative of n(u) wrt u?
12
Differentiate -9*h**4 - 7 - 85*h + 85*h + 2 with respect to h.
-36*h**3
Let q(l) = 9*l**2 + 14. Let f(t) = -35*t**2 - 55. Let g(u) = -4*f(u) - 15*q(u). Find the first derivative of g(v) wrt v.
10*v
Let s(f) = -f**2 + f + 1. Let m(c) = 9*c**3 - 6*c**2 + 48*c + 6. Let z(k) = -m(k) + 6*s(k). Find the second derivative of z(j) wrt j.
-54*j
Suppose 2*f + w - 6 = 0, -5*f - 5*w + 30 - 10 = 0. Let j be (-2)/4*-2 + 1. What is the first derivative of 5*p**j + 1 - 5*p**f - 2*p**2 wrt p?
-4*p
Let q be (-29)/(-9) + 2/(-9). What is the third derivative of -s**4 + 2*s**2 + 25*s**3 - 25*s**q wrt s?
-24*s
Suppose -12 = 4*m - 32. What is the second derivative of 0*h**3 + 3*h**m + 0*h**3 - 5*h wrt h?
60*h**3
Let t(i) = i**4 - 2*i**3 - i + 1. Let s(k) = 23*k**4 + 4*k**3 - 52*k - 2. Let u(a) = s(a) + 2*t(a). Find the second derivative of u(q) wrt q.
300*q**2
Let g be (-3)/2*(-90)/27. Let w(c) = c**5 + c**2 - 1. Let i(h) = 3*h**5 + 5*h**2 - h - 5. Let o(p) = g*w