ivative of b(r) wrt r?
3*r**2
Suppose 5*q - 8 = -38. Let p = 8 + q. Find the third derivative of -2*y**p - 2*y**4 + 5*y**2 + 0*y**4 wrt y.
-48*y
Let a(c) = 44*c**4 - 4*c**3 - 41*c + 3. Let p(f) = -132*f**4 + 11*f**3 + 122*f - 8. Let b(z) = -11*a(z) - 4*p(z). What is the second derivative of b(y) wrt y?
528*y**2
Suppose 0 = 2*k - 3*k + 5. Find the second derivative of 3*r**k - r**3 - 5*r + r**3 + 3*r wrt r.
60*r**3
Let h(m) = 61*m**4 - 81*m**2 - 11*m + 11. Let l(g) = 12*g**4 - 16*g**2 - 2*g + 2. Let w(f) = -2*h(f) + 11*l(f). What is the third derivative of w(t) wrt t?
240*t
Let q(y) = y**5 + y**4 + y**3 - y. Let h(x) = -3*x**5 - 5*x**4 - 6*x**3 - 61*x**2 + 5*x. Let g(t) = -h(t) - 5*q(t). What is the third derivative of g(z) wrt z?
-120*z**2 + 6
Let w(a) be the first derivative of a**4/4 + a - 2. Differentiate w(k) wrt k.
3*k**2
Let s(j) = -27*j**3 + 4*j**2 + 19*j. Let k(y) = -161*y**3 + 23*y**2 + 115*y. Let d(q) = -4*k(q) + 23*s(q). Find the second derivative of d(l) wrt l.
138*l
Let i(m) = 7*m**4 - 3*m**3 + 3*m**2 + 20*m. Let s(l) = 6*l**4 - 4*l**3 + 4*l**2 + 21*l. Let v(o) = 4*i(o) - 3*s(o). What is the second derivative of v(g) wrt g?
120*g**2
Let d(h) be the second derivative of -h**6/180 - h**5/120 - h**4/3 - h. Let x(v) be the third derivative of d(v). What is the first derivative of x(m) wrt m?
-4
What is the first derivative of 1 + 31*r**3 - 31*r**3 + 4*r**4 wrt r?
16*r**3
Suppose 0 = 4*b - 3*b - 5. Find the second derivative of -d**4 + 4*d + b*d - 2*d wrt d.
-12*d**2
Let f(x) = 10*x**3 - 40. Let m(g) = -4*g**3 + 16. Let h(c) = -5*f(c) - 12*m(c). Differentiate h(p) with respect to p.
-6*p**2
Let y(v) = v + 15. Let q be y(-10). What is the third derivative of -8*h**2 + 4*h**2 - q*h**3 + 0*h**2 wrt h?
-30
Differentiate 260*b - 49 - 260*b + 25*b**2 with respect to b.
50*b
Suppose 1 + 3 = -4*z - s, 0 = z + 4*s + 16. Let o = -57 - -60. What is the first derivative of 4 - 4*r**3 + z + r**o - 3 wrt r?
-9*r**2
What is the third derivative of -64*w**2 - 10*w**6 + 54*w**2 - 4*w**6 wrt w?
-1680*w**3
Let y(u) be the first derivative of -3*u**4/2 + 2*u**3/3 + 2. Find the third derivative of y(f) wrt f.
-36
Let k = 2 + -6. Let v be (0/(-1))/(-6 - k). What is the second derivative of v*c**2 + 2*c**4 + 3*c + 0*c**2 - c wrt c?
24*c**2
Let b(j) be the third derivative of j**7/42 + j**4/3 + 4*j**2. Find the second derivative of b(n) wrt n.
60*n**2
Let t(x) = 4*x**2 - 2. Let j(s) = s**2. Suppose 5*g + 13 = -4*u, -5*u - 5*g = 5 + 5. Let i(b) = u*j(b) - t(b). What is the derivative of i(m) wrt m?
-2*m
Let m(n) be the first derivative of 3*n**4/2 - 2*n**3 - 4. Find the third derivative of m(i) wrt i.
36
Let x(p) be the third derivative of -16*p**7/105 - 5*p**4/24 - 38*p**2. Find the second derivative of x(i) wrt i.
-384*i**2
Let j = 0 - -8. What is the second derivative of j*p**4 - 7*p - 7*p**4 + 4*p**4 wrt p?
60*p**2
Let b(h) be the second derivative of 1/12*h**4 + 1/6*h**3 - 4*h + 0*h**2 + 0. Find the second derivative of b(r) wrt r.
2
Find the first derivative of 13 - 27*z**3 - 29 + 4*z**3 wrt z.
-69*z**2
Let j be 32/14 + 18/(-63). What is the second derivative of -4*u**2 - u + j*u + 4*u wrt u?
-8
Find the first derivative of -2*f**2 + 11 - 6*f**2 + 4*f**2 wrt f.
-8*f
Let d(n) be the third derivative of 0*n + 0*n**7 + 0*n**6 - n**2 + 1/336*n**8 + 0*n**5 + 0 + 1/24*n**4 + 0*n**3. Find the second derivative of d(q) wrt q.
20*q**3
Let c(a) = -4*a**2 - 19*a + 6. Let h(p) = -13*p**2 - 56*p + 17. Let r(o) = 17*c(o) - 6*h(o). What is the second derivative of r(l) wrt l?
20
What is the third derivative of 12*x + 4*x + x**6 - 16*x + 18*x**2 wrt x?
120*x**3
Let q(u) be the third derivative of -3*u**2 + 0*u**4 + 1/3*u**3 + 0 + 0*u + 1/30*u**5. Differentiate q(j) wrt j.
4*j
Suppose 2*w + 0*o = -o + 92, 0 = -w - o + 45. Differentiate -10*i + i + 42 - w with respect to i.
-9
Let p(h) = -h + 1. Let d(q) = -6*q - 14. Let l(c) = d(c) - 10*p(c). Differentiate l(m) with respect to m.
4
Let h be (-16)/(-10) - (-4)/10. Suppose -1 = 3*y - 7. What is the first derivative of -i**4 + i**2 - i**y + h wrt i?
-4*i**3
Let s(z) be the first derivative of z**5/20 + z**3/3 - 3*z**2/2 - 1. Let k(a) be the second derivative of s(a). What is the first derivative of k(j) wrt j?
6*j
Let t(b) = -b**3 + 9*b**2 - 8*b + 6. Let s be t(8). Suppose 2*p - 16 = -4*g, 3*g - 2*p - 24 = -g. Find the third derivative of 2*m**2 - m**g - s*m + 6*m wrt m.
-60*m**2
Let g(u) be the second derivative of -1/4*u**4 + 0 - 3/2*u**2 - 3*u + 0*u**3. Differentiate g(j) wrt j.
-6*j
Let g(o) = 7*o**4 + 3*o**3 - 4*o**2 - 3*o. Let j(a) = 6*a**4 + 4*a**3 - 3*a**2 - 4*a. Let t(s) = -4*g(s) + 3*j(s). What is the third derivative of t(u) wrt u?
-240*u
Suppose 4*x + 16 = 6*x. Differentiate -x*r**3 + 2*r**4 + 8*r**3 - 1 with respect to r.
8*r**3
Let l(v) = 12*v**3 - 11*v**2 + 3. Let k(c) = -c**3 + c**2 - c - 1. Let o(w) = 3*k(w) + l(w). Find the third derivative of o(m) wrt m.
54
Let v(d) be the first derivative of d + 0*d**2 - 1/2*d**4 + 2 + 0*d**3. What is the first derivative of v(n) wrt n?
-6*n**2
Let c(f) = -f. Let x(v) = -29*v**2. Let n(t) = 4*c(t) - x(t). Find the second derivative of n(y) wrt y.
58
Let b(f) = -5*f**4 - 11*f**2 - 31. Let z(p) = 2*p**4 + 4*p**2 + 10. Let v(w) = -4*b(w) - 11*z(w). Differentiate v(g) with respect to g.
-8*g**3
Differentiate 5*u - 18*u + 1 + u + 6 wrt u.
-12
Let a(v) = -v**2. Suppose -p + 4*p = 0. Let j be a(p). Find the second derivative of 4*m**3 - 2*m**3 + j*m + 2*m wrt m.
12*m
Let v(x) be the first derivative of -x**3/3 + 2*x + 3. Let u be v(0). What is the third derivative of 2*m**4 - 3*m**4 - 4*m**u + 2*m**2 - 2*m**2 wrt m?
-24*m
Let d = 1 + -2. Let o be d + (18/3)/2. Find the third derivative of i - 3*i**6 - 2*i**o - i**2 - i wrt i.
-360*i**3
Let t(p) = -3*p**3 - 5*p**2 + 4*p. Let h(b) = 2*b**3 + 5*b**2 - 3*b. Let k(r) = -4*h(r) - 3*t(r). Find the third derivative of k(z) wrt z.
6
Suppose 2*j + 15 = 3*u, -2*j = -5*j - 2*u + 10. Differentiate 6*n - 2 + j*n - 4*n wrt n.
2
Suppose t = 4*y + 18 + 5, -5*t = -5*y - 40. Find the second derivative of 2*d + d + d**t - d wrt d.
6*d
Find the second derivative of 2 - 2*s + 1140*s**4 - 1190*s**4 - 40*s wrt s.
-600*s**2
Let i(m) be the third derivative of -m**7/210 - 7*m**4/24 - 3*m**2. Find the second derivative of i(t) wrt t.
-12*t**2
Let j(c) be the first derivative of 8*c**5/5 + 8*c**2 + 16. What is the second derivative of j(u) wrt u?
96*u**2
Let y(r) be the first derivative of -r**7 - 2*r**3/3 - 3. Find the third derivative of y(b) wrt b.
-840*b**3
Let i(x) be the second derivative of x**9/432 + x**6/360 + x**3/6 - 2*x. Let n(p) be the second derivative of i(p). Find the third derivative of n(w) wrt w.
420*w**2
Let q(b) = b**3 + 0*b**3 + 6*b**2 + 0*b**3 + 5*b**2 - 5. Let t(u) = -5*u**2 + 2. Let m(i) = -2*q(i) - 5*t(i). What is the third derivative of m(a) wrt a?
-12
Let j(i) = -65*i**2 + 3*i - 11. Let o(h) = -194*h**2 + 10*h - 34. Let m(q) = -10*j(q) + 3*o(q). What is the first derivative of m(c) wrt c?
136*c
Suppose 6*i = i. Let z(r) be the third derivative of -1/30*r**5 + 1/24*r**4 + 0*r + i + 0*r**3 + r**2. Find the second derivative of z(p) wrt p.
-4
Let v(b) be the first derivative of b**8/280 + b**5/40 - 2*b**3/3 - 3. Let s(x) be the third derivative of v(x). What is the second derivative of s(l) wrt l?
72*l**2
Let c(f) be the third derivative of f**5/30 - 2*f**3 + 15*f**2. What is the derivative of c(x) wrt x?
4*x
Let g be (-4)/(-6) + 20/6. Find the second derivative of -2*s**2 + 2*s**2 - 2*s - g*s**5 wrt s.
-80*s**3
Let g be 8/2 + 0/(-3). Let a(z) be the first derivative of 0*z**g + z**2 - 1/6*z**6 + 1 + 0*z**3 + 0*z + 0*z**5. What is the second derivative of a(p) wrt p?
-20*p**3
Let x(h) be the second derivative of -h**7/168 - h**6/72 - h**3/2 + 4*h. Let i(s) be the second derivative of x(s). Find the third derivative of i(y) wrt y.
-30
Let u(b) be the third derivative of -b**5/60 + 5*b**4/24 - b**3/2 - b**2. Let h be u(3). What is the second derivative of 0*y - 3*y - h*y**5 + y wrt y?
-60*y**3
Let i = 8 - 6. Find the third derivative of i*w**4 + w**2 + 3*w**2 - 2*w**2 wrt w.
48*w
Let p be -10 + 2*(-2)/(-2). Let v = -4 - p. What is the derivative of h**v - h**4 + h**4 + 2 wrt h?
4*h**3
Let j(l) = 58*l**2 + 8. Let y(r) = 19*r**2 