). Find the third derivative of v(o) wrt o.
48
Let j(l) = 3*l + 1. Let b(c) = -6*c - 2. Let g(f) = -f**2 - 2*f + 1. Let y be g(-3). Let k(v) = y*b(v) - 5*j(v). Find the first derivative of k(a) wrt a.
-3
Suppose -5*v = 3*f - 2*f, 0 = -v + 5*f. Find the second derivative of -9*k**2 + 16*k + v*k**2 - 6*k wrt k.
-18
What is the third derivative of 0*f**3 - 9*f**2 - 8*f**3 - 11*f**2 - 9*f**3 wrt f?
-102
Let i = 8 - 5. What is the third derivative of 39*p**3 - 7*p**2 - 4*p**6 - 39*p**i wrt p?
-480*p**3
Let z(h) = -h**2 - h - 1. Let u be (-22)/(-6) + (-14)/21. Let o(f) = -5*f**2 - 2*f - 5. Let w(g) = u*o(g) - 6*z(g). What is the derivative of w(n) wrt n?
-18*n
Let g(m) be the third derivative of 0 + 0*m**4 + 0*m**3 + 0*m + 1/24*m**6 - 3*m**2 + 1/12*m**5. What is the third derivative of g(k) wrt k?
30
Let m(p) be the first derivative of -1/2*p**2 + 4 - p**3 + 0*p. What is the second derivative of m(w) wrt w?
-6
Let t(y) be the third derivative of -4*y**7/35 + 3*y**5/10 + 22*y**2. What is the third derivative of t(v) wrt v?
-576*v
Let q(c) = 2*c**2 - 3*c + 3. Let d = -16 - -13. Let k(y) = 4*y**2 - 5*y + 6. Let u(m) = d*k(m) + 5*q(m). What is the derivative of u(o) wrt o?
-4*o
Suppose 9 = -5*j + 54. Find the second derivative of -5*a + j*a - a**2 + 6*a**2 wrt a.
10
Let y(t) be the first derivative of 2 + 0*t**3 + 0*t**2 + 2*t - 1/2*t**4. Find the first derivative of y(w) wrt w.
-6*w**2
Let u = -9 - -9. Suppose -3*c - 11 = v - 8*c, -v - 5*c + 39 = u. What is the derivative of -10 + 2*a**4 + v - 8 wrt a?
8*a**3
Let x = -21 - -15. Let c = x - -8. What is the third derivative of -6*w**5 + 4*w**5 + w**5 - w**c wrt w?
-60*w**2
Let i = -5 + 2. Let q(k) = k**3 + 4*k**2 + k - 1. Let j be q(i). Find the second derivative of -p - p**j + 4*p**5 - p**5 wrt p.
40*p**3
Let w(k) = 0*k**3 + 0*k + 0*k**3 - k**3 - k. Let q(n) = -4*n**3 + n**2 - 5*n. Let o(f) = 3*q(f) - 15*w(f). What is the third derivative of o(j) wrt j?
18
What is the second derivative of 2*b + 7*b - 5*b - 6*b**2 wrt b?
-12
What is the derivative of -8*r**2 - 8*r**2 + 0*r**2 + 38 + 4*r**2 wrt r?
-24*r
Let j(k) be the second derivative of -k**8/84 - k**5/20 - 2*k**2 + 3*k. Let q(o) be the first derivative of j(o). What is the third derivative of q(m) wrt m?
-240*m**2
Let j(d) = d**2 - 3*d. Let b be j(2). Let s = 1 - b. Find the second derivative of -2*i + 2*i + s*i**5 - 4*i + 2*i wrt i.
60*i**3
Differentiate 2 - 9*y - 2 - 3 + 1 wrt y.
-9
Let i(t) = 5*t**2 + 7*t + 2. Let r(s) = 6*s**2 - 9*s**2 + 8*s + 3*s**2 + 3 + 5*s**2. Let q(z) = -3*i(z) + 2*r(z). Find the second derivative of q(h) wrt h.
-10
Let w(m) be the second derivative of -8*m + 0*m**2 + 1/6*m**4 + 0 + 0*m**3 + 2/5*m**5. Find the third derivative of w(c) wrt c.
48
What is the third derivative of 5*w**2 + 14*w**6 + 11*w**6 - 30*w**6 + 2*w**4 + 0*w**2 - w wrt w?
-600*w**3 + 48*w
Let g(c) be the third derivative of 0*c - 3*c**2 + 1/30*c**5 + 0 + 0*c**3 + 1/8*c**4. Find the second derivative of g(l) wrt l.
4
Suppose 0 = 2*a - 4, d = -4*a + 5 + 5. Let z(g) be the second derivative of 4*g - 2/15*g**6 + 0 + d*g**2 + 0*g**5 + 0*g**4 + 0*g**3. Differentiate z(j) wrt j.
-16*j**3
Let p(i) = 11*i**4 + 4*i**2 - 6*i. Let l(z) = 21*z**4 + 7*z**2 - 12*z. Let c(q) = 4*l(q) - 7*p(q). Find the second derivative of c(s) wrt s.
84*s**2
What is the third derivative of -11*y**2 + 7*y**6 + 13*y**6 - 17*y**2 - 2*y**6 wrt y?
2160*y**3
Let y(w) = w**3 - w**2 + w - 1. Let t be y(0). Let r be 6 + (-3 - 0) + t. Find the first derivative of -7 + 9 + r*s + 0*s wrt s.
2
Suppose -s + 3*i = 0, -2*s + 4*i = -i. Let t(b) be the second derivative of -1/4*b**4 + s + 0*b**3 + 3/2*b**2 + 3*b. Differentiate t(x) wrt x.
-6*x
Let j(r) = -25*r**3 + 41*r**2. Let f(k) = 24*k**3 - 42*k**2 + k. Let o(m) = 2*f(m) + 3*j(m). Find the third derivative of o(x) wrt x.
-162
Let j(q) = -10*q**3 - 6*q**2 + 12*q - 6. Let x(v) = 30*v**3 + 17*v**2 - 36*v + 17. Let a(b) = 17*j(b) + 6*x(b). Find the second derivative of a(w) wrt w.
60*w
Suppose -4*i = 2*o - 1 - 7, -i - o + 1 = 0. Let p(g) be the first derivative of 0*g - 1/2*g**2 - g**i - 3. What is the second derivative of p(c) wrt c?
-6
Let v(d) be the second derivative of -4*d + 1/20*d**5 + 5/12*d**4 + 0 + 0*d**3 + 0*d**2. What is the third derivative of v(i) wrt i?
6
Let n(q) = 4*q**3 - 4*q**2 + 3. Let m(o) = -o**3 + o**2 - 1. Let d(z) = -6*m(z) - 2*n(z). Find the third derivative of d(v) wrt v.
-12
Let b be 2/(-7) + (-120)/(-28). What is the second derivative of 5*s**b + 45 - 45 + 2*s wrt s?
60*s**2
Let j(l) be the second derivative of -l**6/10 - l**3/3 - 4*l. What is the second derivative of j(o) wrt o?
-36*o**2
Let f(k) = 20*k**2 - 4*k - 14. Let a(v) = v**2 + v + 1. Let n(s) = 4*a(s) + f(s). Differentiate n(c) with respect to c.
48*c
Let f(t) = t**3 + 4*t**2 - 6*t - 3. Let i be f(-5). Let m be i + -3 - 2/(-2). What is the derivative of -3 + y**2 + m + 1 wrt y?
2*y
Suppose -l = -2*l. Suppose l*h + 2 = h. Find the first derivative of 0*d**2 + 4*d**3 - 4 + 0*d**h wrt d.
12*d**2
Find the third derivative of -18*r**2 + 66*r**2 + 563*r**4 + 2*r**6 - 512*r**4 wrt r.
240*r**3 + 1224*r
Let b(n) be the second derivative of 0 + 1/3*n**4 + 0*n**3 - 5*n + 5/2*n**2. Find the first derivative of b(i) wrt i.
8*i
Suppose -3*v - j + 36 = 4*j, -2*j = 2*v - 28. Differentiate -v + 2*h**4 + 5 + 2 wrt h.
8*h**3
Suppose -3*b - 8 = -l, 0*l + 14 = 4*l - 3*b. What is the second derivative of x**2 + 5*x**2 - x**l + 0*x**2 + 2*x wrt x?
10
Let r(o) be the third derivative of 4*o**9/63 + o**5/60 - 5*o**4/24 - o**2 + 12. Find the third derivative of r(y) wrt y.
3840*y**3
Let h(u) = -u + 10. Let o be h(6). What is the second derivative of -a**o - 2*a**2 + 2*a**2 + 3*a**4 - 3*a wrt a?
24*a**2
Let j(u) be the third derivative of -u**6/24 - u**4/6 - 6*u**2. What is the second derivative of j(k) wrt k?
-30*k
Let u(k) = k**2 + 1. Suppose 3*h + 2*a + 13 = 0, 0 = -2*a + 3*a - 1. Let n(v) = -2. Let w(x) = h*u(x) - n(x). What is the first derivative of w(f) wrt f?
-10*f
Let w(o) = o + 6. Let n be w(-2). What is the third derivative of 235 - 235 + n*c**4 - 4*c**2 wrt c?
96*c
Let x(y) be the second derivative of -8*y**6/15 - 5*y**2 - 20*y. What is the first derivative of x(t) wrt t?
-64*t**3
Differentiate 1 + k**2 - 8*k**2 + 6*k**2 wrt k.
-2*k
Find the second derivative of -u**2 + u**2 - 2*u**2 + 25*u + 3*u**2 wrt u.
2
Let i(z) = 25*z**4 - 2*z**2 + 2*z - 7. Let k(x) = -25*x**4 + 3*x**2 - 3*x + 6. Let q(s) = 3*i(s) + 2*k(s). Differentiate q(o) wrt o.
100*o**3
Let u(o) be the third derivative of -1/60*o**5 + 0*o**3 + 9*o**2 + 0*o + 0*o**4 - 1/56*o**8 + 0*o**6 + 0 + 0*o**7. What is the third derivative of u(k) wrt k?
-360*k**2
Let l(j) be the first derivative of 3 + 7*j**4 - 5 - 7*j - 6*j**4 + 0. Find the first derivative of l(i) wrt i.
12*i**2
Let m(s) be the third derivative of 5*s**9/3024 + s**6/40 + s**3/3 + s**2. Let h(k) be the first derivative of m(k). What is the third derivative of h(f) wrt f?
300*f**2
Let u(q) = q + 2. Let l(r) = -r - 1. Let s(c) = 6*l(c) - u(c). What is the derivative of s(o) wrt o?
-7
Let z(o) be the first derivative of 3*o**4/4 - 3*o**2/2 + 3. Find the second derivative of z(n) wrt n.
18*n
Suppose 6*d - 5*v = d + 40, 3*d + 4*v - 3 = 0. Let g = 15 - 9. Differentiate g + d*r**3 - 4 - 4*r**3 wrt r.
3*r**2
Find the third derivative of -2*t**2 + 28*t**3 - 18*t**2 - 4*t**3 wrt t.
144
Let n(z) = -2*z**3 - 4*z**2 - z + 2. Let m be n(-2). Suppose 0*y - 5*q = -y - 17, 8 = m*y - q. Find the second derivative of -j**2 - y*j - 2 + 2 wrt j.
-2
Let c be 32/(-48)*2/((-16)/18). Let i(n) be the second derivative of 0 + 2*n + c*n**2 + 1/6*n**3. Differentiate i(o) with respect to o.
1
Let y = 10 + -7. Find the first derivative of i**2 - 7 + 0*i**2 + y + 1 wrt i.
2*i
Let z be (-10)/(-4) - 5/10. Find the second derivative of -3*h + 4*h**z - 3*h**2 + 4*h**4 - h**2 wrt h.
48*h**2
Let z(m) = -m**2 + m + 2. Let w be z(0). Let k = -1 - -1. Find the second derivative of j + k*j + 0*j**2 - j**w wrt j.
-2
Find the third derivative of 9*f**3 + 2 - 2 - 10*f**2 wrt f.
54
Let b = 15 - 7. What is the second derivative of w - b*w + 4*w**3 + 5*w wrt w?
24*w
Let t(p) = 16*p**5 + 3*p**2 - p - 3. Let d(r) = -16*r**5 - 4*r**2 + 4. Let u(n) = -3*d(n) - 4*t(n). What is the second derivative of u(h) wrt h