hat is the first derivative of a(i) wrt i?
1
Let p(u) = -3*u**2 + 1 - 5 + 0*u + 2*u - 2*u**3 - 5*u. Let q(g) = -g**3 - 2*g**2 - 2*g - 3. Let d(j) = -2*p(j) + 3*q(j). What is the derivative of d(r) wrt r?
3*r**2
Let a(y) be the third derivative of 23*y**9/504 - 19*y**5/60 + 12*y**2. What is the third derivative of a(l) wrt l?
2760*l**3
Let h = -1 + -3. Let f(v) = -1. Let u(z) = -2*z + 6. Let s(i) = h*f(i) - u(i). What is the derivative of s(c) wrt c?
2
Let o be -1 + 5 - (2 + 0). Suppose -2*k = -2*x - 13 + 3, -15 = 5*x. Find the second derivative of k*z - 3*z + o*z - z**4 wrt z.
-12*z**2
Suppose 0*w = 4*t - 4*w + 4, 2*t - 13 = -3*w. What is the third derivative of -p**2 - 2*p**2 + 4*p**t + 5*p**3 wrt p?
30
Find the first derivative of 27*i**2 - 16*i + 7*i + 9*i - 20 wrt i.
54*i
Find the third derivative of -i**2 + 7*i**2 - 16 - 5*i**5 + 16 wrt i.
-300*i**2
Let d(b) be the second derivative of -11*b**6/30 - b**2/2 - 8*b. Differentiate d(m) with respect to m.
-44*m**3
Let u(b) be the third derivative of b**7/1008 - 7*b**6/720 - b**5/30 - 2*b**2. Let w(i) be the third derivative of u(i). Differentiate w(h) wrt h.
5
Let f be 12*(10/4 - 2). Find the second derivative of 66*j**4 + 7*j + f*j - 5*j - 71*j**4 wrt j.
-60*j**2
Let h(y) = -y**4 - y**2 + y + 1. Let s(n) = 15*n**4 + 3*n**2 + 10*n - 3. Let w(x) = 3*h(x) + s(x). Find the second derivative of w(l) wrt l.
144*l**2
Suppose -3*u + 10 + 8 = 0. Suppose 0 = -5*s - 2*r + r + 12, -r = 3*s - u. What is the second derivative of -2*z + 0*z + s*z**5 - 4*z**5 wrt z?
-20*z**3
Suppose -q + 0*q = 0. Find the third derivative of j**6 + 4*j**2 + 2*j**2 + q*j**6 wrt j.
120*j**3
Let y = -2 + 8. What is the derivative of -2 - 6*f + y*f - 4*f - 1 wrt f?
-4
Let y(j) be the first derivative of 0*j**4 + 1 + 0*j**3 + 0*j + 0*j**5 + 1/3*j**6 - 3/2*j**2. What is the second derivative of y(q) wrt q?
40*q**3
Find the third derivative of -21*p + 15*p**3 + 8*p + 3*p**2 + 13*p wrt p.
90
Suppose 3*h + 62 = d, 3*h = -0*d - 3*d - 54. Let k be 8/h + (-27)/(-5). What is the derivative of 3 - 3*v**2 - 3 + 2 + k*v**2 wrt v?
4*v
Find the first derivative of 77*a + 51 - 36*a - 40*a - 2*a**4 wrt a.
-8*a**3 + 1
Let t(z) be the third derivative of z**7/210 - 2*z**3 - 3*z**2. What is the first derivative of t(g) wrt g?
4*g**3
Let h(o) be the third derivative of -o**9/126 + 5*o**5/6 - 30*o**2. Find the third derivative of h(p) wrt p.
-480*p**3
Let a(r) = -r**2 - 6*r + 8. Let d be a(-7). Let g be 1*(-2)/(-1) + d. Find the second derivative of -2*w**g - w**3 - 2*w + 2*w**3 + 3*w wrt w.
-6*w
Let f = -5 - -13. Find the first derivative of -10 + f - 3*i**4 - 5*i**4 wrt i.
-32*i**3
Let p(a) be the third derivative of -7*a**5/120 - a**4/4 - 4*a**3/3 - 5*a**2. Let g(v) be the first derivative of p(v). Differentiate g(f) with respect to f.
-7
Suppose y - 5*y = -20. What is the third derivative of 5*s**y - 2*s**3 + 2*s**3 - 7*s**5 + 3*s**2 wrt s?
-120*s**2
Let g(u) = -u**3 - 2*u**2 + 6*u + 5. Let n(k) = -k**3 - 3*k**2 + 7*k + 4. Let p(v) = 4*g(v) - 5*n(v). What is the second derivative of p(f) wrt f?
6*f + 14
Let o(g) be the second derivative of 5*g**6/3 - 2*g**4 + 9*g. Find the third derivative of o(t) wrt t.
1200*t
Let c = 0 - -2. Find the second derivative of c*g + g + g**3 - 2*g**3 wrt g.
-6*g
Let h(q) = q**3 + 3*q**2 - q + 2. Let u be h(-3). Suppose 2*k + 2*n + u = -n, 5*n = 3*k - 21. What is the derivative of -4 + 3 + k*m**3 + m - m wrt m?
6*m**2
Let l(f) be the first derivative of -f**4/2 + 3*f**2 - f + 5. Let j(x) be the first derivative of l(x). What is the derivative of j(n) wrt n?
-12*n
Suppose 0 = -2*l + 2*h - 10, 2 + 13 = -2*l + h. Let v = -6 - l. Find the second derivative of -k**4 - 3*k - 3*k**4 - 2*k**v + 2*k**4 wrt k.
-48*k**2
Let x(m) be the third derivative of m**9/1008 + m**6/360 - 5*m**3/6 - m**2. Let w(r) be the first derivative of x(r). Find the third derivative of w(s) wrt s.
180*s**2
Let x(p) = -p**4 - 1. Let l(b) = 8*b**4 + 5*b + 6. Let w(s) = s - 3. Let d be w(4). Let k(a) = d*l(a) + 6*x(a). Find the second derivative of k(q) wrt q.
24*q**2
Find the third derivative of -3*h**3 + 4*h**3 + h**3 - h**3 - 14*h**2 wrt h.
6
Let d be (10/(-4))/(1/(-2)). Suppose 3*x - 15 = -0*x. What is the second derivative of -2*q - 2*q**2 - d + x wrt q?
-4
Let t(o) = -2*o**2 + 11*o - 2. Let z(v) = v + 1. Let h(s) = t(s) + 2*z(s). What is the second derivative of h(y) wrt y?
-4
Suppose 3*w - 2 = 7. Find the third derivative of 0*z**2 - 2*z**w + 2*z**2 + z - z wrt z.
-12
Let p(m) = 7*m**4 - 6*m - 5. Let t(r) = 7*r**4 - 5*r - 4. Let q(i) = -5*p(i) + 6*t(i). Differentiate q(x) with respect to x.
28*x**3
Let g(h) be the second derivative of 5*h**4/12 - 3*h**2 - h. Differentiate g(t) wrt t.
10*t
What is the third derivative of 0*c + 0*c + 0*c**5 - 10*c**2 - 2*c**5 wrt c?
-120*c**2
Let a(p) be the first derivative of -41*p**5/5 + 14*p**3/3 - 3*p + 46. What is the third derivative of a(g) wrt g?
-984*g
Suppose 4*y - g = 23, -5*g - 40 = -5*y - 0*g. What is the second derivative of -5*i**5 - 5*i + y*i + 4*i wrt i?
-100*i**3
Let r(h) be the first derivative of 2*h**3 + 2*h**2 + 25*h - 19. What is the first derivative of r(p) wrt p?
12*p + 4
Let u(c) be the first derivative of 5*c**7/42 + c**3/6 - 3*c + 4. Let s(a) be the first derivative of u(a). What is the second derivative of s(i) wrt i?
100*i**3
Let r(t) be the first derivative of -8*t**5/5 + 4*t**3 + 8. What is the third derivative of r(h) wrt h?
-192*h
Let p(m) be the second derivative of m**5/20 + m**2/2 - 5*m. Find the first derivative of p(k) wrt k.
3*k**2
Let c(w) = 5*w - 7. Let i be -3 - (-12)/((-2)/(-1)). Let q = 4 - i. Let s(n) = n - 1. Let v(y) = q*c(y) - 6*s(y). Differentiate v(b) wrt b.
-1
Suppose 0 = 3*b - 10 + 4. Suppose 2*u + b - 6 = 0. What is the third derivative of 5*v**4 - 2*v**u - 2*v**4 + 0*v**4 wrt v?
72*v
Let u(i) = 4*i**2 - i - 5. Let z be u(4). Suppose -2*r + 5*y = r - 14, -4*r = -4*y - 16. Find the third derivative of p**2 - 55 + 3*p**r + z wrt p.
18
Let b(t) be the first derivative of -7*t**4/4 + 6*t**2 - 14. Find the second derivative of b(g) wrt g.
-42*g
Let t(x) be the second derivative of 3*x**6/10 - 5*x**3/6 - 3*x. Find the second derivative of t(r) wrt r.
108*r**2
Let i(u) = -11*u**3 + 2*u**2 + 8. Let g(a) = -11*a**3 + 3*a**2 + 7. Let y(h) = 2*g(h) - 3*i(h). Differentiate y(k) wrt k.
33*k**2
Let h(w) be the third derivative of -3*w**5/20 + 5*w**3/6 - 7*w**2. What is the first derivative of h(u) wrt u?
-18*u
Let q(u) = -3*u + 2*u**2 + 0*u**2 - u**3 + 2*u**2. Let m be q(2). What is the derivative of -3*p**2 + 0*p**m + 4*p**2 - 1 wrt p?
2*p
Let x(o) be the second derivative of -8*o + 0*o**2 + 0*o**4 + 0*o**5 - 1/30*o**6 - 5/6*o**3 + 0. What is the second derivative of x(j) wrt j?
-12*j**2
Let p = -14 + 26. Find the first derivative of 2*o**2 - 7 - p + 16 wrt o.
4*o
Suppose 27 + 3 = 5*t. Suppose 2*c - t = -0*c. What is the third derivative of 2*o**c + 3*o**2 - 36*o + 36*o wrt o?
12
Let l(v) be the first derivative of v**4/4 + v**3/3 + 7. Find the third derivative of l(o) wrt o.
6
Let t(g) = -9*g**3 - 5*g**2 - 1. Let r(p) = -5*p**3 - 3*p**2. Let u = -3 - 0. Let l(a) = u*t(a) + 5*r(a). Differentiate l(m) with respect to m.
6*m**2
Let q(b) = -11*b - 6. Let s(h) = -34*h - 18. Let d(g) = -14*q(g) + 5*s(g). What is the first derivative of d(c) wrt c?
-16
Let p(d) be the third derivative of -3*d**2 + 0*d**3 - 1/120*d**6 + 0*d + 0*d**5 + 0 - 1/8*d**4. Find the second derivative of p(h) wrt h.
-6*h
Let a(j) be the second derivative of -j**5/20 - j**4/3 + 2*j. Find the third derivative of a(b) wrt b.
-6
Differentiate -2*d**4 + 369*d**3 - 8 - 369*d**3 - 8 wrt d.
-8*d**3
Suppose -3*x - 12 = -2*m - x, 2*x = 5*m - 27. Find the second derivative of m*w + 8*w**2 - w + w wrt w.
16
Suppose 3*u + 6 = 5*f, -3*f + 7 = u - 5. Suppose -f*v + 7 = -2. What is the third derivative of -2*b**4 - b**4 + 3*b**4 + 3*b**4 - v*b**2 wrt b?
72*b
Let p be 0/(-2) - (1 - 5). Suppose -3*j = p*w - 74, -3*j + 32 = 2*w + j. What is the third derivative of -20 - 3*t**2 - 2*t**3 + w wrt t?
-12
Let v = 76/3 + -25. Let c(j) be the third derivative of 0*j + v*j**3 + 0 + 1/60*j**5 + 0*j**4 + 2*j**2. What is the derivative of c(l) wrt l?
2*l
Let b be (3 + (-18)/8)*4. What is the third derivative of b*o**2 + o**4 + 0*o