 3. Let p(v) = -9*k(v) + 4*z(v). What is the first derivative of p(s) wrt s?
-28*s**3
Suppose 0 = -5*a - 5, 231 = 5*m + 5*a - a. What is the first derivative of -m*k**2 + 9 - 4 + 41*k**2 wrt k?
-12*k
Let g(s) be the first derivative of 0*s + 3 + 0*s**2 + 0*s**6 + 0*s**5 + 0*s**4 + 4/3*s**3 - 3/7*s**7. What is the third derivative of g(d) wrt d?
-360*d**3
Let b = -3 + 5. Suppose 5*l - 18 - b = 0. Find the first derivative of l - 2*k**4 - 2 + 3*k**4 wrt k.
4*k**3
Let l(r) be the first derivative of 8*r**5/5 + 3*r**2 + 16. Find the second derivative of l(j) wrt j.
96*j**2
Let l = 7 + -5. Find the second derivative of 3*h - 4*h**l - 3*h + 2*h wrt h.
-8
Let a(x) be the first derivative of -x**9/504 - x**5/60 + 3*x**2/2 + 1. Let z(m) be the second derivative of a(m). What is the third derivative of z(k) wrt k?
-120*k**3
Let d(b) be the first derivative of 1/4*b**4 - 1/2*b**2 - 3 + 0*b**3 + 0*b. What is the second derivative of d(q) wrt q?
6*q
Let a(s) be the second derivative of 0*s**4 + 1/14*s**7 + 1/2*s**3 + 0 + 0*s**2 + 0*s**6 + 0*s**5 + 2*s. What is the second derivative of a(p) wrt p?
60*p**3
Let v = -11 - -16. Find the second derivative of -6*r + v*r**2 - 10*r**2 + 0 + 0 wrt r.
-10
Suppose -101 = -5*c + j, -3*c + j + 41 = -c. Let l be 8/5 - (-8)/c. What is the second derivative of s + 10 - 10 - l*s**2 wrt s?
-4
Let w(q) = -q**3 + 6*q**2 - 5*q + 1. Let m be w(5). Let r = m + 1. Find the third derivative of -4*d**2 - r*d**3 + 3*d**2 + 3*d**3 wrt d.
6
Let d(z) be the second derivative of 31*z**5/20 - 23*z**4/6 - 4*z - 2. What is the third derivative of d(w) wrt w?
186
What is the first derivative of 3*k**4 - 105*k**2 + 13*k**4 + 105*k**2 - 12 wrt k?
64*k**3
What is the derivative of 61 - 58 - 4*x**4 + 10*x**4 wrt x?
24*x**3
Differentiate -6 + 28*f - 16*f - 25*f with respect to f.
-13
Let y(s) be the third derivative of s**6/8 - 11*s**5/30 - 2*s**2. What is the third derivative of y(p) wrt p?
90
Let r(q) = -5*q - 7*q - 9*q**2 + 3*q + 4 + 0*q. Let t(m) = -55*m**2 - 55*m + 25. Let z(n) = 25*r(n) - 4*t(n). What is the second derivative of z(k) wrt k?
-10
Suppose -3*o = -3 - 3. Find the third derivative of 5*k**2 + 0*k**o - k**2 + k**4 - 2*k**2 wrt k.
24*k
Let u(l) be the first derivative of -l**4/2 + 5*l - 3. What is the first derivative of u(r) wrt r?
-6*r**2
Let a(c) be the first derivative of 9*c**6/2 - 26*c**3/3 + 20. Find the third derivative of a(v) wrt v.
1620*v**2
Let v(m) be the first derivative of m**3/3 + m**2/2 - m + 3. Let p(y) = 4*y**2 + 3*y + 2. Let i(o) = p(o) - 3*v(o). Find the first derivative of i(u) wrt u.
2*u
Let n(m) = 9*m**2 - 9. Let z(d) = d**2 - 1. Let c(y) = -n(y) + 2*z(y). Differentiate c(u) wrt u.
-14*u
Let r(o) = o**2 - 1. Let g(x) = 2*x**5 - 3*x**2 + x + 3. Suppose -3*t = -8 - 10. Let s(k) = t*r(k) + 2*g(k). Find the second derivative of s(j) wrt j.
80*j**3
Let s(f) be the first derivative of -f**4/4 - 23*f**3/3 - 71*f - 72. What is the first derivative of s(m) wrt m?
-3*m**2 - 46*m
Let r(v) be the third derivative of 5*v**4/8 - 29*v**3/6 + 8*v**2. What is the first derivative of r(o) wrt o?
15
Let v(l) = -9*l**4 + 17*l**3 + 4*l**2 - 17*l. Let z(x) = 3*x**4 - 6*x**3 - x**2 + 6*x. Let m(w) = 6*v(w) + 17*z(w). What is the third derivative of m(r) wrt r?
-72*r
Find the third derivative of -a**2 + 4*a**3 - 5*a**4 + 9*a**3 - 13*a**3 wrt a.
-120*a
What is the second derivative of -5*h**3 + h**3 - 7*h - 8*h - 6*h**3 wrt h?
-60*h
Let t(k) = -6*k**3 - 28*k - 7. Let w(j) = 3*j**3 + 14*j + 4. Let q(u) = 4*t(u) + 7*w(u). What is the second derivative of q(a) wrt a?
-18*a
Suppose 12 = 5*v - 8. Find the third derivative of 3*p**2 + 2 - 2 - 2*p**4 + 3*p**v wrt p.
24*p
Let l be (-4)/(-3) - 16/(-24). Let z(x) be the second derivative of -x**l - 1/4*x**4 + 0*x**3 + x + 0. Find the first derivative of z(f) wrt f.
-6*f
Let q = 3 - -1. Find the second derivative of 0*y - 2*y - 3*y**3 + y + q*y**3 wrt y.
6*y
Let q(n) be the second derivative of -n**6/15 + 7*n**4/12 + 7*n. What is the third derivative of q(g) wrt g?
-48*g
What is the second derivative of -7*r + 81*r**4 - 42*r**4 - 43*r**4 wrt r?
-48*r**2
Let p(s) be the second derivative of s**7/7 + s**3/6 + 8*s. Find the second derivative of p(x) wrt x.
120*x**3
Suppose -2*m = -3 - 1. What is the second derivative of 4*h - h**m + 0*h + 3*h**2 wrt h?
4
Suppose -5*l = -2 - 43. Let c = -5 + l. Find the first derivative of -2*v**c + 2*v - 7*v + 2 + 5*v wrt v.
-8*v**3
Let f(v) = -7*v**2 + 6. Let p(s) = 3*s**2 - 3. Suppose -4*b = o - 3, 10 = -o - o. Let z(a) = b*f(a) + 5*p(a). Find the first derivative of z(m) wrt m.
2*m
Let k(y) be the third derivative of y**6/60 - y**4/6 + 5*y**3/6 + 9*y**2. Let a(z) be the first derivative of k(z). Differentiate a(x) wrt x.
12*x
Let z(a) = -5*a**3 + a. Let f be z(-1). What is the first derivative of -5 - 12*p**4 + 0*p**f + 6*p**4 wrt p?
-24*p**3
Let r(o) = o**2 - 2*o. Let t be r(2). Let c(m) be the second derivative of 2/3*m**3 + t*m**2 + 1/6*m**4 + 2*m + 0. What is the second derivative of c(v) wrt v?
4
Let p = 7 + -8. Let r(i) = -1. Let o(f) = -7*f**2 + 4*f - 1. Let g(a) = p*r(a) + o(a). Find the second derivative of g(y) wrt y.
-14
Let o(k) = -2*k**4 - 4*k**3 - 4*k**2 - 4*k + 4. Let g(y) = 3*y**4 + 7*y**3 + 7*y**2 + 7*y - 9. Let s(t) = -4*g(t) - 7*o(t). Differentiate s(u) wrt u.
8*u**3
Let a(i) be the second derivative of -i**8/2240 - i**6/360 + i**4/4 + 3*i. Let b(n) be the third derivative of a(n). Find the second derivative of b(q) wrt q.
-18*q
Let f = -21 - -25. What is the first derivative of -5 + 1 - 2*l**f + 3 + 6*l**4 wrt l?
16*l**3
Let a(h) = h**2 + 8*h - 5. Let x be a(-9). What is the second derivative of 2*m + x*m - 4*m**5 + 5*m**5 - 5*m wrt m?
20*m**3
Let q(x) = -2*x - 9. Let j be -7 + 2 + 1/(-1). Let k be q(j). What is the second derivative of -3*v**3 - k*v + 5*v**3 + 2*v wrt v?
12*v
Let j = 67/21 + -20/7. Let o(d) be the second derivative of -j*d**3 - 2*d + 0 + 0*d**2 - 1/6*d**4. What is the second derivative of o(u) wrt u?
-4
Let h = 39 - 39. Let f(n) be the second derivative of 0 + h*n**3 + n**2 - n - 1/12*n**4. Differentiate f(c) wrt c.
-2*c
Suppose -10 = -3*i + 2. What is the second derivative of -3*t - 2*t - i*t**5 + 7*t wrt t?
-80*t**3
Let l(c) be the second derivative of 13*c**6/30 + 5*c**2/2 + 18*c. Differentiate l(m) with respect to m.
52*m**3
Find the second derivative of -25*g + 41*g**3 + 2*g**2 + g**3 - 2*g**2 wrt g.
252*g
Let k(z) = z**2 + 5*z - 5. Let c be k(-6). Let a(g) = 0 + c + 0. Let w(l) = l - 1. Let v(n) = 4*a(n) + 2*w(n). Differentiate v(h) wrt h.
2
Suppose -2*w - 5 = -3*w. Find the first derivative of -3*b - w + 1 + 2 wrt b.
-3
Let p(a) = -a**2 - 8*a + 12. Let y be p(-9). Find the second derivative of 4*b - b - 4*b**3 - 2*b - b**y wrt b.
-30*b
Let f = 2 - 2. Let y be -2 - (-7 + 1) - f. Differentiate -4 + 0*t**y - 3*t**4 + 6 with respect to t.
-12*t**3
Let p(k) be the second derivative of -k**4/12 - k**3/3 - 12*k. What is the second derivative of p(l) wrt l?
-2
What is the third derivative of 19*l**3 + 14*l**2 + 41*l - 41*l wrt l?
114
What is the second derivative of 64*h**2 - 13*h**4 - 38*h - 64*h**2 wrt h?
-156*h**2
Suppose p = -4*p. Suppose -v = -2*v + 5. Find the second derivative of 4*d + p*d**v + d**5 - d wrt d.
20*d**3
Suppose -3*x = 2*x - 20. Find the third derivative of 2*w**4 + 4*w**x - 5*w**4 + 3*w**2 - 6*w**2 wrt w.
24*w
Let j(g) be the third derivative of g**8/840 + g**5/120 + g**3/6 - g**2. Let s(t) be the first derivative of j(t). What is the second derivative of s(r) wrt r?
24*r**2
Suppose 0*u - 2*u = 24. Let b be 8/u - (-22)/6. What is the derivative of 1 - 1 - 2 + 5 + b*g**4 wrt g?
12*g**3
Let q be 0*(4 + -2)/(-2). Suppose q = -3*x - 3 + 33. What is the second derivative of 10 + 2*l + l**5 - x wrt l?
20*l**3
Let j(t) be the second derivative of -t**10/2520 + t**6/180 + t**3/6 + 7*t. Let g(y) be the second derivative of j(y). Find the third derivative of g(h) wrt h.
-240*h**3
Let s be (0 - -3)/((-1)/4). Let w be (-3)/s + (-21)/(-12). Find the second derivative of -3*t - w*t**2 + 4*t + 3*t**2 wrt t.
2
Let t(g) = -g + 6. Let d be t(9). Let h be (d - -4)/(1/2). What is the second derivative of -4*j**2 + 4*j**2 - j + 3*j**h wrt j?
6
Let h(c) = -16*c**4 - 3*c**2 - 1. Let b(z) = -16*z**4 - 2*z**2. Let w(p) =