5*z**3 - 3*z**3 + 8*z**2 + 5 - 5 wrt z?
12
Let d(b) be the second derivative of b**5/120 - b**4/8 - b**3/6 + 2*b. Let r(v) be the second derivative of d(v). Differentiate r(h) with respect to h.
1
Let f(w) be the first derivative of -13*w**4/2 + 30*w - 19. Differentiate f(d) wrt d.
-78*d**2
What is the first derivative of -6 - 16*a**3 + 27*a**3 + 6*a**4 - 11*a**3 wrt a?
24*a**3
Let g(y) be the third derivative of 13*y**8/336 + 7*y**4/24 + 12*y**2. What is the second derivative of g(z) wrt z?
260*z**3
Let t(w) be the first derivative of 31*w**4/2 - 6*w**3 + 56. What is the third derivative of t(b) wrt b?
372
Let y(a) = -a**3 - 5*a**2. Let g be y(-5). Find the third derivative of -5*d**2 + 2*d**2 - 2*d**4 + g*d**4 wrt d.
-48*d
Let z be 6 + 1 + 9/(-3). Find the first derivative of i**z - 10*i**3 + 10*i**3 + 2 wrt i.
4*i**3
Let q(d) = -d + 4. Let i be q(-7). Suppose 6 = 3*h - 2*k, 0 = 3*h + 2*k - i - 7. Find the first derivative of -6 + h - v + 0*v wrt v.
-1
Let t(a) be the third derivative of a**6/60 + a**5/20 + a**2. What is the third derivative of t(j) wrt j?
12
Suppose -3*a + 13 + 11 = 0. Let h(u) = u**2 + u - 3. Let m be h(2). Find the second derivative of -2*g - 8*g**2 + 2*g**m + 3*g + a*g**2 wrt g.
12*g
Let n(i) be the third derivative of -1/6*i**3 + 0 - 1/8*i**4 + 0*i + 3*i**2. What is the derivative of n(l) wrt l?
-3
Let f(n) be the third derivative of -11*n**4/24 - 5*n**3/3 + 6*n**2. Differentiate f(v) wrt v.
-11
Let t(c) be the third derivative of c**8/840 + c**4/3 - 5*c**3/3 - 3*c**2. Let x(w) be the first derivative of t(w). Find the first derivative of x(z) wrt z.
8*z**3
Suppose -2*l = -2*b + 14, 0 = -b + 3*l - 0*l + 13. Find the first derivative of -b*z + z + 3*z + 4*z**3 - 3 wrt z.
12*z**2
Differentiate 4 + 5*w**4 + w - w - 10 with respect to w.
20*w**3
Let d(v) = v**3. Let c(s) = -9*s**3 + 5*s**2. Let b(u) = -c(u) - 6*d(u). Find the third derivative of b(w) wrt w.
18
Let v(h) be the first derivative of h**5/60 + h**3/2 - h**2 - 1. Let w(q) be the second derivative of v(q). What is the first derivative of w(a) wrt a?
2*a
Let t(a) = -18*a**3 + 6*a**2. Let j(n) = n**3 - n**2. Let w(v) = -12*j(v) - t(v). Find the third derivative of w(o) wrt o.
36
Find the third derivative of 231*l**3 - 13 - l + l**2 - 276*l**3 + l wrt l.
-270
Let r(y) = -1. Let w(l) = 32*l - 23. Let v(s) = r(s) - w(s). Find the first derivative of v(q) wrt q.
-32
Let s(y) be the second derivative of 5*y + 0*y**5 - 1/6*y**6 + 0*y**3 + 0 + 1/6*y**4 + 0*y**2. What is the third derivative of s(l) wrt l?
-120*l
Suppose 2*r - 15 = 3. Suppose 4*p - 16 = -0. Find the third derivative of 7*j**4 + 0*j**p + 3*j**2 - r*j**4 wrt j.
-48*j
Suppose -4 = -5*q + 6. Let i(h) be the first derivative of -5*h**4 + q + 2*h + 1 + 2*h**4 + 2*h**4. Find the first derivative of i(o) wrt o.
-12*o**2
Let q(w) be the third derivative of 0*w**5 + 3*w**2 - 1/40*w**6 + 0 + 0*w + 0*w**4 + 1/3*w**3. What is the derivative of q(t) wrt t?
-9*t**2
Let a be 4/(-22) + 8/44. What is the derivative of -4 + 1 + 3*j + a*j - 2*j wrt j?
1
Let k be -2*1*2/(-2). Find the first derivative of -a**2 + 0*a**k + 2 - 4 wrt a.
-2*a
Let g(t) be the third derivative of 1/30*t**5 + 0*t**4 + 0*t**7 + 0*t**3 - 1/112*t**8 + 0*t + 0 - 2*t**2 + 0*t**6. What is the third derivative of g(h) wrt h?
-180*h**2
Let q(f) = -10*f**2 + 9*f - 5. Suppose -5 = -r - 7. Let c(j) = -5*j**2 + 5*j - 2. Let v(k) = r*q(k) + 5*c(k). Find the second derivative of v(x) wrt x.
-10
Let o(y) = y**3 + y**2 + 1. Let t(p) = 3 + 2*p**4 + 3*p**3 + 4*p**3 + p**2 - 6*p**3. Let m(k) = o(k) - t(k). Differentiate m(s) wrt s.
-8*s**3
Let z(f) be the second derivative of 19*f**3/6 + 8*f**2 + 5*f. What is the derivative of z(s) wrt s?
19
Let o(p) be the second derivative of 5*p**8/56 - p**4/3 - 7*p. Find the third derivative of o(r) wrt r.
600*r**3
Suppose -f + 3*f - 8 = 0. Find the second derivative of -2*b**f + 2*b**4 - 2*b**4 + b wrt b.
-24*b**2
Let b(g) be the second derivative of 0*g**3 + 0 - 1/6*g**4 - 3*g + 0*g**5 + 0*g**2 - 1/15*g**6. What is the third derivative of b(j) wrt j?
-48*j
Let h(o) = -o**5 - o**2 + o - 1. Let i(b) = -6*b**5 - 2*b**4 + 5*b**2 - b + 1. Let k(j) = -h(j) - i(j). Find the third derivative of k(m) wrt m.
420*m**2 + 48*m
Find the second derivative of -2374*n**4 + 10*n + 2372*n**4 + 13*n + 33*n**3 wrt n.
-24*n**2 + 198*n
Let y(s) = -12*s**2 - 4. Let x(m) = -47*m**2 - 17. Let d(o) = -6*x(o) + 22*y(o). What is the derivative of d(w) wrt w?
36*w
What is the third derivative of 6*y**2 - y**6 + 16*y**2 - 5*y**6 wrt y?
-720*y**3
Let u(o) be the first derivative of 0*o + 2/5*o**5 - o**2 + 0*o**3 - 4 + 0*o**4. Find the second derivative of u(p) wrt p.
24*p**2
Let z(b) be the first derivative of 19*b**4/4 + 5*b**3 - 17. Find the third derivative of z(n) wrt n.
114
Let k(d) be the third derivative of 0*d**3 - 1/30*d**5 - d**2 + 0*d**4 - 1/24*d**6 + 0 + 0*d. Find the third derivative of k(z) wrt z.
-30
Differentiate -13*m - 44 + 14 + 5 - 7 with respect to m.
-13
Let i = -38 + 42. Let w(q) be the first derivative of 1/3*q**6 + 0*q + 0*q**i + 0*q**3 - 2 - q**2 + 0*q**5. Find the second derivative of w(b) wrt b.
40*b**3
Let a(n) = 11*n**3 - 12*n + 17. Let r(u) = u + 3 + 2*u**3 + u - 4*u. Let w = -8 + -26. Let p(y) = w*r(y) + 6*a(y). Find the second derivative of p(d) wrt d.
-12*d
Suppose 11 = 4*d - 3*k, -4*k + 2 = 2*d - 2*k. Suppose 5 = d*j + 1. What is the second derivative of 4*m + j*m**3 - 4*m + m wrt m?
12*m
Find the third derivative of -48*o**5 + 61*o**2 + 29*o**5 - 24*o**2 + 30*o**5 wrt o.
660*o**2
Find the third derivative of p**5 - p**2 + p**5 + 6*p**2 + 3*p**5 wrt p.
300*p**2
Let v(s) be the second derivative of -1/5*s**6 - 6*s + 0 + 0*s**3 + 0*s**2 + 0*s**5 + 1/2*s**4. Find the third derivative of v(r) wrt r.
-144*r
What is the second derivative of 4*q**5 + q - 18 + 18 wrt q?
80*q**3
Let c(y) be the second derivative of -3*y**6/5 + 11*y**4/12 + 2*y. Find the third derivative of c(z) wrt z.
-432*z
Suppose 2*x = -y + 3*y - 8, -4 = -y - 4*x. Find the second derivative of -2*r**5 - 3*r + 2 + 2 - y wrt r.
-40*r**3
Let d(y) = -y**2 - 4*y + 2. Let c be d(-5). Let g be (0/(1*c))/1. What is the third derivative of -3*h**6 + 0*h**6 + g*h**6 + 2*h**2 wrt h?
-360*h**3
Let m(o) be the first derivative of 3*o**4/4 - 5*o - 5. What is the derivative of m(g) wrt g?
9*g**2
Let o(b) = -21*b**2 + 15*b - 6. Let c(v) = 3*v**2 - 2*v + 1. Let g(y) = 45*c(y) + 6*o(y). Differentiate g(p) with respect to p.
18*p
Let b(f) = f**3 + 6*f**2 - 11*f - 3. Let l be b(-7). Find the second derivative of -5*a + l*a**5 - 47*a**5 + 28*a**5 wrt a.
120*a**3
Let j(x) be the second derivative of 1/6*x**4 + 1/42*x**7 + 0*x**6 + 0*x**5 + 0*x**2 + 0*x**3 - 4*x + 0. What is the third derivative of j(y) wrt y?
60*y**2
Let w(o) = o**3 - 5*o**2 + 4*o + 3. Let t be w(4). Suppose -15 = -t*z - 0. What is the second derivative of 2*b**z + 10*b**3 - 2*b - 10*b**3 wrt b?
40*b**3
Let n(m) be the third derivative of 1/336*m**8 + 0*m**7 + 0*m**3 + 0*m + 0 + 0*m**6 + 0*m**5 + m**2 - 1/24*m**4. What is the second derivative of n(o) wrt o?
20*o**3
What is the derivative of -6 - 7 + 6 + 2*x wrt x?
2
Let r(a) be the third derivative of 0*a**4 + 0*a - 1/20*a**5 + 2/3*a**3 + 5*a**2 + 0. Find the first derivative of r(y) wrt y.
-6*y
Let r(m) be the first derivative of 0*m**3 + 6/5*m**5 - 5 + 6*m + 0*m**2 + 0*m**4. Differentiate r(s) with respect to s.
24*s**3
Let y(r) be the first derivative of -17*r**3/3 + 9*r**2/2 + 24. Find the second derivative of y(t) wrt t.
-34
Suppose -3*b - v = -36, -6 = 4*b - 5*v - 35. Suppose 2*f + 5*m = 14, -5*m = 5*f - b - 9. What is the first derivative of -4*o + 3 + 2*o - f wrt o?
-2
Let u(l) be the second derivative of -5*l + 0*l**4 + 0 + 0*l**2 + 0*l**6 + 0*l**5 + 1/2*l**3 - 1/21*l**7. Find the second derivative of u(k) wrt k.
-40*k**3
Let h(j) = 5*j**4 + 10*j**2 - 4*j + 4. Let v(z) = 5*z**4 + 11*z**2 - 3*z + 3. Let p(f) = 3*h(f) - 4*v(f). What is the third derivative of p(w) wrt w?
-120*w
Let d(k) be the first derivative of -9*k**2/2 - 25*k + 28. What is the derivative of d(o) wrt o?
-9
Let u(y) be the third derivative of -1/12*y**5 - 5*y**2 + 0*y + 0*y**4 + 1/6*y**3 + 0. Differentiate u(q) wrt q.
-10*q
Let q be 0*(-2)/(-4) - -3. Let a be 1 + -2 + 9/q. Find the third der