- 8*v**2 wrt v.
-16*v
Let w = 19 + -16. Differentiate -10*o**3 - 7 + 16 + 6*o**w with respect to o.
-12*o**2
Find the first derivative of 27 + 11 + 12*f - 2*f wrt f.
10
Let s(g) be the first derivative of -g**8/56 + g**4/3 + 5*g + 5. Let q(o) be the first derivative of s(o). Find the third derivative of q(k) wrt k.
-120*k**3
Let l(j) be the second derivative of 0*j**4 + j - 3/20*j**5 + 0*j**2 + 1/3*j**3 + 0. Find the second derivative of l(f) wrt f.
-18*f
Let u(k) be the first derivative of -k**6/180 - k**5/40 - 2*k**3/3 - 3. Let w(j) be the third derivative of u(j). What is the second derivative of w(i) wrt i?
-4
Let d be ((-90)/(-35))/((-9)/(-42)). Find the first derivative of -d*r + 10*r + 9 - 5*r wrt r.
-7
Find the second derivative of 29*j**5 - 13*j - 34*j**5 - 11*j wrt j.
-100*j**3
Let k(j) be the third derivative of j**8/420 - j**6/360 - 2*j**3/3 + j**2. Let r(i) be the first derivative of k(i). Find the third derivative of r(w) wrt w.
96*w
Let h(k) = -k**3 + 12*k**2 - 9*k - 1. Let q be h(11). Let a be 2/3 - q/(-9). What is the third derivative of -a*g**3 + 2*g**2 + 3*g**3 + 3*g**3 wrt g?
18
Let u(b) be the first derivative of 0*b**2 + b - 1 + 1/2*b**4 + 0*b**3. Differentiate u(m) wrt m.
6*m**2
Let r(a) be the third derivative of 0*a**5 + 0*a**3 + 0*a + 1/12*a**4 + 4*a**2 + 1/60*a**6 + 0. Find the second derivative of r(x) wrt x.
12*x
Let d be -59*(-3)/(-90) + 2. Let z(s) be the third derivative of 0*s + d*s**5 + 0 + 2*s**2 - 1/12*s**4 + 0*s**3. Find the second derivative of z(f) wrt f.
4
Find the third derivative of -3*x**2 + x**2 + x**4 - 21*x**6 + 5*x + 26*x**6 wrt x.
600*x**3 + 24*x
Let l(t) = -t**3 + t**2 - t + 1. Let y(b) = -6*b**5 - b**3 + 5*b**2 - b + 1. Let h(z) = -2*l(z) + 2*y(z). Find the third derivative of h(o) wrt o.
-720*o**2
Let d(s) be the first derivative of 2*s + 1/4*s**4 - 2 + 0*s**2 + 0*s**3. Differentiate d(b) wrt b.
3*b**2
Suppose c + 0*c - a = -2, 4*c = -4*a. Let q = c - -3. Find the second derivative of -2*g**3 + g - q*g - g wrt g.
-12*g
What is the third derivative of n + 2*n**6 + 8*n**2 - 11*n + 13*n - 11*n**4 wrt n?
240*n**3 - 264*n
What is the third derivative of -69*o + o**2 + 232*o - 10*o**3 - 98*o + o**2 wrt o?
-60
What is the first derivative of 10*k**4 + 2*k**4 + 5*k**4 - k**4 + 9 wrt k?
64*k**3
Let x = -3 + 4. Let f be x/4 - (-14)/8. What is the first derivative of -5*m**2 + 0*m**2 - 2 + 3*m**f wrt m?
-4*m
Let f(w) be the third derivative of 0*w + 0*w**4 + 8*w**2 - 1/10*w**5 + 1/20*w**6 + 0*w**3 + 0. Find the third derivative of f(g) wrt g.
36
Let d(c) be the second derivative of -c**5/40 - c**4/24 + c**3/3 + 3*c. Let z(o) be the second derivative of d(o). What is the derivative of z(m) wrt m?
-3
Let d(j) be the second derivative of j**4/3 + j**3/3 + 12*j**2 + 42*j. What is the first derivative of d(q) wrt q?
8*q + 2
Let b(z) = 8*z - 7. Let t = 9 - 3. Let m(r) = -1 + 2 - r + 0. Let q(n) = t*m(n) + b(n). What is the first derivative of q(o) wrt o?
2
Let a(i) = 22*i**4 - 10*i**3 + 22*i. Let s(z) = 7*z**4 - 3*z**3 + 7*z. Let k(h) = -6*a(h) + 20*s(h). Find the second derivative of k(w) wrt w.
96*w**2
Suppose -5*g + 12 = 2*w, 2*g + w = -4*w + 9. What is the first derivative of 1 + 2*v**2 - 4*v**2 - v**2 - g wrt v?
-6*v
Suppose 39 = -3*v - o, -5*o = -v - 3*o - 13. Let w = 27 + v. What is the derivative of -w - a + 15 - 2*a wrt a?
-3
Let c(v) = v**2 + v - 2. Suppose -3*i + 3 = -3. Let u be c(i). What is the second derivative of -3*a**u + 6*a**3 + a - 6*a**3 - 3*a wrt a?
-36*a**2
Let a be 6*(-2 + (-14)/(-3)). Suppose 0 = -y + 5*y - a. What is the third derivative of -y*u**5 + 2*u**2 + 3*u**5 + 2*u**5 wrt u?
60*u**2
Let n(f) be the first derivative of -18*f**2 + 19*f + 28. What is the derivative of n(y) wrt y?
-36
Let x(z) be the second derivative of -3*z**5/10 - 11*z**3/6 + 6*z. What is the second derivative of x(g) wrt g?
-36*g
Let f(w) be the second derivative of -w**8/6720 - w**5/60 + w**4/4 + 4*w. Let q(k) be the third derivative of f(k). Differentiate q(s) wrt s.
-3*s**2
Let u(q) be the second derivative of -q**4/2 + 3*q**2 + 3*q. What is the derivative of u(z) wrt z?
-12*z
What is the derivative of 12 + 5*y**2 - 5 + 2 wrt y?
10*y
Let k(b) be the third derivative of -b**8/840 - b**5/40 + b**3/2 + b**2. Let c(g) be the first derivative of k(g). What is the second derivative of c(s) wrt s?
-24*s**2
Let l be (-4 - -5) + 1 + -1. Let f = 1 + l. Find the first derivative of -3 + 1 + 3 - f*r**2 wrt r.
-4*r
Let l(v) = -5*v**4 - 2*v**3 - 2*v + 50. Let q(s) = 14*s**4 + 7*s**3 + 7*s - 151. Let d(x) = -7*l(x) - 2*q(x). Find the first derivative of d(f) wrt f.
28*f**3
Let z(m) be the third derivative of 1/70*m**7 + 0*m**3 - 1/24*m**4 + 0 + 0*m**5 + 0*m + 0*m**6 - 2*m**2. What is the second derivative of z(j) wrt j?
36*j**2
Let c(g) be the third derivative of g**7/420 + g**5/30 - g**3/3 + g**2. Let q(l) be the first derivative of c(l). Find the second derivative of q(p) wrt p.
12*p
Find the third derivative of -3*k**3 + 4*k**4 - 11*k**4 - k**2 + 3*k**3 wrt k.
-168*k
Let w(h) be the second derivative of h**5/10 - 8*h**2 + 23*h. Differentiate w(p) with respect to p.
6*p**2
Let p(n) = 17*n**5 + 3*n**2 - 26*n - 3. Let m(f) = 35*f**5 + 5*f**2 - 53*f - 5. Let w(t) = -3*m(t) + 5*p(t). What is the second derivative of w(a) wrt a?
-400*a**3
Let s(v) be the third derivative of v**2 - 5/24*v**4 + 0*v + 0 - 5/6*v**3. Find the first derivative of s(k) wrt k.
-5
Suppose 3*v + 2*q = 8, -3*v - 4*q + 3 = -1. Differentiate -5*h + v + 3*h + 7*h wrt h.
5
Let s(j) = 44*j**3 + 11*j**2 - 7*j + 103. Let a(u) = -22*u**3 - 5*u**2 + 3*u - 52. Let i(m) = -7*a(m) - 3*s(m). Differentiate i(q) wrt q.
66*q**2 + 4*q
Suppose d = -l + 1, -2*l + 3 = -d - 2. Let b(p) = p**2 - p. Let f be b(2). Find the second derivative of -f*y**3 + 2*y**5 + l*y + 2*y**3 wrt y.
40*y**3
Let n(k) = -20*k + 3. Let b(y) = -7*y + 1. Let l(s) = 17*b(s) - 6*n(s). What is the derivative of l(c) wrt c?
1
Find the third derivative of -155*p**3 + 139*p**3 - 9*p**2 - 29*p**2 wrt p.
-96
Let r(m) = 45*m**2 - 45*m - 2. Let l(g) = 89*g**2 - 91*g - 5. Let w(k) = -2*l(k) + 5*r(k). What is the second derivative of w(x) wrt x?
94
Let p(x) be the third derivative of 13*x**5/60 - 13*x**4/24 - 4*x**2. Find the second derivative of p(z) wrt z.
26
Let w(x) = 2*x + 7. Let d(a) = 3*a + 6. Let u(m) = -5*d(m) + 6*w(m). Let n(l) = -l + 6. Let c(z) = -11*n(z) + 6*u(z). Differentiate c(b) wrt b.
-7
Let y(n) be the first derivative of 29*n**2/2 + 6*n - 25. Differentiate y(c) wrt c.
29
Let k(l) be the third derivative of 7*l**5/12 + 67*l**4/24 + 39*l**2. Find the second derivative of k(u) wrt u.
70
Let m = 7 + -4. Let a(j) = -j + 2. Let c be a(0). Find the third derivative of w**3 - 4*w**2 - c*w**3 + m*w**2 wrt w.
-6
Let o(d) = d**3 - 5*d**2 - 5 + 2*d**3 + 6*d - 2*d**3. Let n be o(4). What is the third derivative of -2*g**5 - n*g + g + 3*g**2 + 2*g wrt g?
-120*g**2
Let a(o) = -o**5 + o**4 - 4*o + 1. Let d(i) = i**4 + i + 1. Let n be 3 - (2 - 0) - 2. Let q(f) = n*a(f) + d(f). What is the second derivative of q(l) wrt l?
20*l**3
Let s = -12 - -20. Let w(h) = 10*h**3 - 8*h**2 - 14*h. Let r(o) = 3*o**3 - 3*o**2 - 5*o. Let n(u) = s*r(u) - 3*w(u). Find the second derivative of n(z) wrt z.
-36*z
Let t = 463/6 - 77. Let h(z) be the second derivative of t*z**3 - 1/6*z**4 + 0*z**2 - z + 0. Find the second derivative of h(y) wrt y.
-4
Let l(o) = 8*o + 11. Let x = 8 - 3. Let s(b) = -7*b - 10. Let r(v) = x*l(v) + 6*s(v). Differentiate r(h) wrt h.
-2
Let c(d) = -d**2 + 7*d - 3. Let w be c(6). Find the second derivative of p**3 + 9*p**w - 4*p - p**3 - 3*p**3 wrt p.
36*p
Let c(t) be the first derivative of 3 + 5/2*t**2 + t. What is the derivative of c(v) wrt v?
5
Let f(y) = -3*y**3 + y**2 + 2*y. Let g be ((-2)/3)/((-4)/(-6)). Let s(b) = b**3 - b**2 + b. Let p(j) = g*s(j) - f(j). Find the second derivative of p(u) wrt u.
12*u
Suppose -4*y = -3*y + 4. Let l = y - -6. Find the second derivative of 7*c**5 + 0*c**5 + c - l*c - 4*c**5 wrt c.
60*c**3
Find the second derivative of -l**2 - 5*l**2 + 16*l**2 + 13*l**2 - 22*l wrt l.
46
Let v be 87/12 - 2/8. Let r = -3 + v. Differentiate r*s - 1 - 3*s + s wrt s.
2
Suppose -7 = 9*i - 10*i. What is the second derivative of -5*f + 4*f - 3*f + 2*f + i*f**4 wrt f?
84*f**2
Let y(b) = 