-24
Let w(v) = -v**3 - v**2 + v - 1. Let u = -2 - -3. Let a(q) = -5*q**3 - 6*q**2 + 6*q - 2. Let s(n) = u*a(n) - 6*w(n). What is the derivative of s(f) wrt f?
3*f**2
Let s(n) = n - 6. Let h(p) = -3*p + 17. Let u(q) = -2*h(q) - 7*s(q). Let i be u(6). Find the second derivative of -2*d - i*d**5 + 3*d - 2*d wrt d.
-40*d**3
Let r(t) = -3*t - 3. Let j(p) = 4*p + 2. Let m(f) = 2*j(f) + 3*r(f). Let y be m(-7). Find the second derivative of -2*s - 2*s**2 - s**3 + 2*s**y wrt s.
-6*s
Let p(k) be the second derivative of -k**6/40 + k**5/12 + k**2 - 2*k. Let o(f) be the first derivative of p(f). What is the third derivative of o(u) wrt u?
-18
Suppose -18 = -4*k + 30. Suppose -4*v + k = -v. Find the second derivative of -3*a**v + 6*a**4 - 2*a - a**4 wrt a.
24*a**2
Let s(b) = -31*b**5 + 7*b**3 - 7*b**2 + 12*b - 7. Let u(f) = -f**3 + f**2 + f + 1. Let k(n) = -2*s(n) - 14*u(n). What is the second derivative of k(i) wrt i?
1240*i**3
Suppose -m = m - 10. Find the third derivative of -g + g**2 + 4*g**m + g - 7*g**5 wrt g.
-180*g**2
Let v(u) = u**2 - 6*u + 10. Let y be v(7). Suppose -2*f + 1 = -z - 6, -4*f = -z - y. What is the third derivative of -2*l**2 + 0*l**3 + 4*l**3 - z*l**3 wrt l?
6
Let r(l) be the first derivative of l**8/112 + l**4/8 - l**2/2 + 2. Let o(q) be the second derivative of r(q). What is the second derivative of o(y) wrt y?
60*y**3
Find the second derivative of -u + 2*u - 2*u**2 - u**2 + 5*u wrt u.
-6
Suppose 8 + 10 = 3*v. What is the derivative of -3*k**2 + 3*k**2 + v - 2*k**2 wrt k?
-4*k
Let z(j) = 3*j**4 + 5*j**2 + 2*j. Let y(b) = -2*b**4 - 4*b**2 - b. Let c(k) = -5*y(k) - 4*z(k). What is the second derivative of c(p) wrt p?
-24*p**2
Let x be (-264)/(-36) - 1/3. Find the second derivative of 3*a**3 - 7*a**2 - 5*a + x*a**2 wrt a.
18*a
Suppose 7*n = 2*n. What is the first derivative of -1 - 2*q + n + 2 + 1 wrt q?
-2
Let r(t) be the first derivative of 39*t**5/5 - 14*t + 15. What is the derivative of r(g) wrt g?
156*g**3
Let j = -18 - -24. Find the third derivative of 3*q**2 - 11*q**6 + j*q**6 + 2*q**2 - q**6 wrt q.
-720*q**3
Let c(f) be the second derivative of 0*f**2 + 0*f**4 + 1/3*f**3 + 1/10*f**6 + 4*f + 0*f**5 + 0. Find the second derivative of c(j) wrt j.
36*j**2
Suppose 3*k = d, -3*k - 15 + 3 = -5*d. Let x be (-2*d + 2)/(-2). What is the derivative of a**x - a**2 - 4*a**2 - 2 wrt a?
-8*a
Find the first derivative of -4 - 11*o**3 + 11 - 10*o**3 + 26*o**3 wrt o.
15*o**2
Find the second derivative of -3*f + 6*f**3 + 8*f + 3*f**3 wrt f.
54*f
Suppose -5*z = -0*z. Find the first derivative of -3 + z + 2*j**3 - 6*j**3 + 5 wrt j.
-12*j**2
Let l = 3 + -1. Find the second derivative of k**2 + 2*k**l + 4*k - 6*k wrt k.
6
Let k(o) = 7*o**2 - 3*o + 5. Let p(j) = 34*j**2 - 16*j + 26. Let u(s) = -16*k(s) + 3*p(s). What is the first derivative of u(b) wrt b?
-20*b
Let a(x) be the third derivative of -x**8/1680 - x**4/6 + x**3/6 - 2*x**2. Let u(h) be the first derivative of a(h). What is the derivative of u(l) wrt l?
-4*l**3
Let s be (1 + 2 + 2)/1. Find the second derivative of -5*q**s - 2*q + 5*q**5 - q**5 wrt q.
-20*q**3
Let g be (-1)/(36/20 - 2). Let a(n) = -n**2 + n - n - 1. Let w(k) = -6*k**2 + 3*k - 5. Let r(h) = g*a(h) - w(h). Find the second derivative of r(v) wrt v.
2
Let f(r) = -23*r**2 + 26. Let v(o) = 12*o**2 - 13. Let u(y) = -3*f(y) - 7*v(y). Differentiate u(q) wrt q.
-30*q
Suppose 0*k + k - 2 = 0. Find the third derivative of 2*s**3 - 4*s**2 - k - s**3 + 2 wrt s.
6
Let t(f) be the first derivative of -2*f**4 + 13*f**2/2 - 18. What is the second derivative of t(c) wrt c?
-48*c
Let z = 9 - 3. Let s(k) = -k**2 + 1. Let t(d) = 1. Let g(p) = z*t(p) + 3*s(p). What is the first derivative of g(o) wrt o?
-6*o
Suppose 0 = 2*q - 7 - 5. Let z = q - 1. What is the second derivative of 2*i - i**z + 34*i**2 - 34*i**2 wrt i?
-20*i**3
Let y be 1/(-5) - (-22)/10. Suppose -3*p = 2*d - 4*d - 49, 0 = p + 5*d - 39. What is the third derivative of 7*o**2 - 4*o**y + p*o**6 - 22*o**6 wrt o?
-360*o**3
Let v(f) = f**2. Let d = -7 + 4. Let z(j) = -3*j**3 - 3*j**2 + 2*j. Let p(a) = d*v(a) - z(a). Find the second derivative of p(w) wrt w.
18*w
Let b(t) be the second derivative of t**5/20 - t**4/3 + t**3/6 - t**2 - 2*t. Let m be b(4). What is the second derivative of -m*w**5 + 5*w**5 - w**5 + w wrt w?
40*w**3
Let b(r) = -8*r**4 + 27*r**2 + 6*r - 6. Let i(g) = -8*g**4 + 26*g**2 + 5*g - 5. Let z(w) = 5*b(w) - 6*i(w). What is the third derivative of z(l) wrt l?
192*l
Let m(w) be the first derivative of 6*w**5/5 - 2*w**3 + 2. What is the third derivative of m(t) wrt t?
144*t
Let d(f) = f**2 - f + 0 - 1 - 2. Let a be d(3). Differentiate 0*m - a + m + 5 wrt m.
1
Let q(u) be the third derivative of 7*u**4/4 - 13*u**3/2 - 30*u**2. Differentiate q(z) wrt z.
42
Suppose 0*h + 24 = -3*i + 4*h, -4*h = i - 8. Let m(j) = -j - 3. Let f be m(i). What is the first derivative of -6*p**3 + 0 + 7*p**3 - f wrt p?
3*p**2
Let t(w) = -38*w**3 - 19*w. Let a(d) = d**3 + d + 1. Let u(f) = 19*a(f) + t(f). What is the derivative of u(v) wrt v?
-57*v**2
Let v(f) = 2*f**2 - 3*f - 4. Let i be v(3). What is the second derivative of -2*a + 3*a**i + a**5 - a wrt a?
80*a**3
Let d(b) = 21*b**5 + 37*b. Let s(l) = -41*l**5 - 73*l. Let h(g) = -5*d(g) - 2*s(g). Find the second derivative of h(w) wrt w.
-460*w**3
Let k(z) = -9*z**3 + 6*z + 10. Let y(b) = -9*b**3 + 7*b + 11. Let d(a) = -5*k(a) + 4*y(a). Find the second derivative of d(w) wrt w.
54*w
Let k be 0 + (-2)/((-4)/10). Let i(n) be the third derivative of -1/60*n**k - n**2 + 0*n**3 + 0*n + 0 - 1/12*n**4. What is the second derivative of i(g) wrt g?
-2
What is the second derivative of 4*u - 3*u + 32*u**4 - 21*u**4 wrt u?
132*u**2
Let f(k) be the first derivative of 3 + 0*k**2 - 1/2*k**6 + 0*k**5 - 1/3*k**3 + 0*k**4 + 0*k. What is the third derivative of f(r) wrt r?
-180*r**2
Let l(j) = -4*j**3 + 3*j**2 + 7*j. Let k(o) = -5*o**3 + 2*o**2 + 8*o. Let f(t) = -3*k(t) + 2*l(t). What is the second derivative of f(v) wrt v?
42*v
What is the third derivative of 7*i**2 + 6*i**6 - 24*i**6 + 12*i**6 - 4*i**2 wrt i?
-720*i**3
What is the third derivative of -9*j**2 + 9*j**6 + 7*j**2 - 6*j**2 wrt j?
1080*j**3
Let k(n) = -n + 1. Let p be k(5). Let x be (p + -2 + 2)/(-2). What is the first derivative of z**x + 0*z**2 + 2 - 2*z**2 + 2*z**2 wrt z?
2*z
Let z(c) be the third derivative of -c**3/6 - 3*c**2. Let i(f) = 2*f + 13. Let y(m) = -i(m) - 4*z(m). Differentiate y(n) wrt n.
-2
Let j be -5 + (-3)/(-6)*-2. Let g be (-5)/(-5)*j/(-2). What is the second derivative of -s**g + 3*s**3 + s**3 + 0*s**3 + 3*s wrt s?
18*s
Let n(f) = -f**2 - 6*f - 5. Let r be n(-5). Find the second derivative of r*b - b - 4*b - 2*b**2 + 6*b wrt b.
-4
Find the second derivative of 5*z - 31*z**2 + 46*z**2 - 35*z**2 wrt z.
-40
Suppose 22*q = 25*q - 15. Let f(g) be the second derivative of 0*g**4 - g + 3/20*g**q + 1/2*g**3 + 0*g**2 + 0. What is the second derivative of f(b) wrt b?
18*b
Let j(n) = 10*n**2 - 4*n - 2. Let s(g) = 11*g**2 - 5*g - 3. Let o(h) = -5*j(h) + 4*s(h). Find the first derivative of o(a) wrt a.
-12*a
What is the second derivative of 10*a**3 + 9*a**3 - 11*a + a**3 - 8*a**3 wrt a?
72*a
Let l be -3 - (-2 - -1)*7. What is the second derivative of -7*c**5 - 5*c**5 + 5*c**5 + l*c wrt c?
-140*c**3
Let x(a) = -a**2 - 7*a + 3. Let u be x(-7). Find the third derivative of 5*c**u + 128 - 128 - 3*c**2 wrt c.
30
Let k(b) = b**3 + b + 1. Let m(n) = 9*n**3 - n - 12. Let y(f) = -k(f) - m(f). What is the derivative of y(s) wrt s?
-30*s**2
What is the third derivative of 0*v**2 + 2*v**2 + 10*v**3 + 6*v**2 - 4*v**2 wrt v?
60
Suppose -4*j = 4*w - 20, 0 = -3*j + 6*j + w - 15. Let s(n) = -2*n - 7. Let p be s(-5). What is the first derivative of 5*x**3 + 3*x**3 - j*x**p + 2 - 5 wrt x?
9*x**2
Let h = -3 + 7. Suppose h*k - 3 = 17. Find the second derivative of 0*d - d**k - d + 0*d wrt d.
-20*d**3
Suppose -3*r + 6 = -0*r. Suppose -t - 4*t = -25. Find the second derivative of 2*i**4 - 2*i**4 + r*i**t + i wrt i.
40*i**3
Suppose -2*s + 0 = -2*g + 4, -5*s = -2*g + 10. Suppose -2*a + 8 - 2 = g. What is the first derivative of -2*y**2 + 3*y**2 + 2 - a*y**2 wrt y?
-4*y
Let q(k) be the second derivative of k**7/2520 - k**5/120 + k**4/12 - 2*k. Let o(s) be the third derivative of q(s). Differentiate o(r) wrt r.
2