. Let j(y) = 4*a(y) - 7*r(y). Differentiate j(b) wrt b.
126*b**2
Suppose l - 5 = -2*l - x, 3*l + 2*x = 1. What is the second derivative of v + 0*v + v**l + v wrt v?
6*v
Let s(x) be the first derivative of -x**4/12 - x**3/3 - 3*x**2/2 - 1. Let a(g) be the second derivative of s(g). Differentiate a(h) wrt h.
-2
Let i(h) = -h**2 - 8*h - 11. Let g be i(-5). Find the third derivative of g*m**3 - 3*m**2 - m**2 + 2*m**3 wrt m.
36
Let t(l) = -l + 11. Let g be t(7). Find the third derivative of -g*b**2 - 23*b - 3*b**4 + 23*b wrt b.
-72*b
Let f(l) = 4*l**2 + 9*l - 5. Let a(n) = 7*n**2 + 18*n - 9. Let y(b) = -3*a(b) + 5*f(b). Let p be y(-9). What is the derivative of 1 - 2*z - p*z**3 + 2*z wrt z?
-6*z**2
Suppose 2*o + 2*d = -8, -5*o - 4 = -d - 14. Let g be o/(-3*2/(-24)). What is the second derivative of 2*w - w**g + 0*w**4 - 3*w**4 wrt w?
-48*w**2
Let i be 9/(-3) + (-2)/2. Let y = 1 - i. What is the second derivative of 2*m + 2*m**5 - 5*m**5 + m + 7*m**y wrt m?
80*m**3
Let k = 16 - 14. Suppose 6*r - 8 = 2*r. Find the third derivative of 4*n**k - n**3 - n**3 - n**r + 0*n**2 wrt n.
-12
Suppose -3*q = -0*q - 6. Find the second derivative of -4*y + 4*y + 2*y - q*y**2 wrt y.
-4
Suppose -2*m = -5*k - 2 + 12, 3*m + 10 = 5*k. Find the second derivative of -x - 8 - k*x**3 + 8 wrt x.
-12*x
Let x(d) be the first derivative of -d**5/15 + d**3 - d**2/2 + 6. Let j(k) be the second derivative of x(k). Differentiate j(i) with respect to i.
-8*i
Let x(v) = 6*v**2 - 14. Let h(i) = -1. Let d(q) = 4*h(q) - x(q). What is the derivative of d(j) wrt j?
-12*j
Find the second derivative of -5*k + 4*k + 4*k - 2*k - 4*k**2 wrt k.
-8
Let x(m) = 9*m**4 + 3*m**3 + 10*m**2 - 3*m - 3. Let n(l) = l**4 + l**3 - l**2 - l - 1. Let q(u) = 3*n(u) - x(u). What is the third derivative of q(f) wrt f?
-144*f
Let t be -1 + (1 - 3) - -6. Find the second derivative of -3*o**t - o - 2*o + 6*o**3 wrt o.
18*o
Let o(y) = -2*y**3 - 10*y**2 + 28*y + 10. Let n(v) = -v**3 - 3*v**2 + 9*v + 3. Let z(b) = 10*n(b) - 3*o(b). Find the second derivative of z(q) wrt q.
-24*q
Let l(f) = 41*f**3 - 5*f**2 - 76*f. Let p(t) = -61*t**3 + 8*t**2 + 114*t. Let i(k) = 8*l(k) + 5*p(k). Find the second derivative of i(u) wrt u.
138*u
Let g = 46 - 275/6. Let k(i) be the first derivative of 3/2*i**2 + 0*i**5 + 0*i**4 + g*i**6 + 0*i**3 + 1 + 0*i. Find the second derivative of k(u) wrt u.
20*u**3
Let q(s) be the first derivative of -11*s**7/7 - 7*s**3/3 + 6. Find the third derivative of q(f) wrt f.
-1320*f**3
Let x(m) = m**3 - 9*m**2 - 11*m + 15. Let b be x(10). Differentiate b*n**2 - 5*n**2 + 1 + n**3 wrt n.
3*n**2
Let o(n) be the third derivative of 23*n**8/336 - 5*n**5/12 - 21*n**2. What is the third derivative of o(i) wrt i?
1380*i**2
Let y(q) = 61*q**4 - 5*q**3 + 4*q**2 - 15*q - 10. Let l(k) = k**3 + k + 2. Let w(f) = -5*l(f) - y(f). Find the third derivative of w(u) wrt u.
-1464*u
Find the second derivative of -14*t + 18*t**4 - t**4 - 8*t**4 wrt t.
108*t**2
Let k(l) be the third derivative of 11*l**5/60 + l**3/2 + 7*l**2. Differentiate k(c) with respect to c.
22*c
Let h(f) = 2*f**2 - 3*f. Let y be h(2). Let s = -2 + 5. What is the second derivative of -z**s - z - y*z + z wrt z?
-6*z
Find the third derivative of 7*h**3 - 7*h**2 - 16*h**2 + 4*h**3 + 7*h**3 wrt h.
108
Let n(g) = -g**2 - 1. Let k(a) = 4*a**5 - 9*a**2 - 6. Let x(y) = -k(y) + 6*n(y). What is the third derivative of x(h) wrt h?
-240*h**2
What is the second derivative of -93*a**5 + a + 2*a + 11*a + 80*a**5 wrt a?
-260*a**3
Let j(g) = g**3 - 9*g**2 + 9*g - 5. Let s be j(8). Suppose -5*x + 6 = -3*h, x = s*h - 2 - 4. Differentiate l**2 - 2*l**x - l**2 + 2 wrt l.
-6*l**2
Let d = 7 + -4. Suppose -d*j = -3*g - 21, 10 = -2*j + 6*j + 2*g. Find the second derivative of 3*b + j*b**3 + 60 - 60 wrt b.
24*b
Find the first derivative of 5*o**2 - 5*o**2 + 8 + 8 - 29*o**3 wrt o.
-87*o**2
Find the third derivative of -95*d**5 - 10*d**2 - 11*d**2 + 108*d**5 + 8*d**2 wrt d.
780*d**2
Let d(l) be the first derivative of -9*l**5/5 - 3*l**2/2 - 18. Find the second derivative of d(y) wrt y.
-108*y**2
Let q(p) be the first derivative of -2*p + 3*p**2 + 1 - 3*p**2 + p**3 + 0*p**3. Differentiate q(d) with respect to d.
6*d
Suppose -3 + 9 = -3*x, -3*w + 181 = 4*x. Find the second derivative of -63*v**2 - 3*v**4 - 8*v + w*v**2 wrt v.
-36*v**2
Let q = -7 + 13. Find the first derivative of -q*t**2 + 9*t**2 - 3 + 7 wrt t.
6*t
Let a(b) = b**2 - b + 1. Let d(c) = -5*c**3 + 20*c**2 + 10*c - 10. Let v(h) = 10*a(h) + d(h). What is the third derivative of v(k) wrt k?
-30
Suppose 0 = 2*w - 3*w + 10. Let m be 44/w - (-2)/(-5). What is the derivative of 2*o**2 - 2*o**2 + 2 - 2*o**m wrt o?
-8*o**3
Let s(p) = -3*p**4. Let k(i) = -10*i**4 + i. Suppose 0 = 5*w + 21 + 4, -7 = 4*u - w. Let h(d) = u*k(d) + 8*s(d). What is the second derivative of h(n) wrt n?
72*n**2
Let c(m) = 62*m**2 - 41*m + 7. Let y(f) = -41*f**2 + 27*f - 5. Let l(u) = 5*c(u) + 7*y(u). Find the second derivative of l(z) wrt z.
46
Let a(j) be the second derivative of -j**6/10 + 5*j**4/4 - 28*j. Find the third derivative of a(d) wrt d.
-72*d
Let z(b) be the second derivative of b**4/12 - 10*b**3/3 - 19*b**2 + 6*b - 3. Find the first derivative of z(w) wrt w.
2*w - 20
Let l(y) be the second derivative of -17*y**4/6 + y**3/3 + y. Find the second derivative of l(g) wrt g.
-68
Let p(n) = -4*n**3 - 2*n**2 - 2*n - 1. Let y be p(-1). Let j = y + 0. What is the second derivative of a**j + 0*a**3 - 2*a + a wrt a?
6*a
Let l be (-2)/8 - (-51)/12. What is the first derivative of -4*r**3 + 3*r**4 + l*r**3 - 1 wrt r?
12*r**3
Find the second derivative of 5*t - 2*t**2 + t**2 - 4*t**2 wrt t.
-10
Let x(i) = -2*i**2 - 3*i**2 + 4 + 3*i + 4*i**2. Let j be x(3). What is the third derivative of 3*b + 2*b**3 - 3*b + j*b**2 wrt b?
12
Let l(c) be the first derivative of 0*c - 1/2*c**6 + 1 + 0*c**5 + 0*c**2 + 4/3*c**3 + 0*c**4. Find the third derivative of l(b) wrt b.
-180*b**2
Let w = -6 + 12. What is the third derivative of 5*r**6 - w*r**6 + 4 + 3*r**2 - 4 wrt r?
-120*r**3
Let z = -2/27 - -31/54. Let k(o) be the second derivative of 0*o**3 - 1/4*o**4 + 0 - o - z*o**2. What is the first derivative of k(i) wrt i?
-6*i
Let n be 3 - (-3 + (-2 - 16)). Find the first derivative of -n*c + 17*c - 2 + 1 wrt c.
-7
Let k(s) be the third derivative of s**8/168 - 11*s**4/24 - s**2. What is the second derivative of k(z) wrt z?
40*z**3
Suppose 4*y - 15 + 3 = 0. Find the first derivative of 0 + y - 3*h**4 + 28*h - 28*h wrt h.
-12*h**3
Let d(t) = -5*t**4 + 6*t**3 + 10*t. Let f(p) = -4*p**4 + 5*p**3 + 9*p. Let w(u) = 5*d(u) - 6*f(u). What is the second derivative of w(x) wrt x?
-12*x**2
Let z(i) = 4*i - i - 1 + 4. Let s(h) = 3*h + 2 - 2 + 0*h + 3. Let g(r) = -4*s(r) + 5*z(r). Find the first derivative of g(k) wrt k.
3
Let d(o) be the first derivative of -4*o**7/7 - 14*o**3/3 - 6. Find the third derivative of d(z) wrt z.
-480*z**3
What is the third derivative of 5 + 24*o**3 + 4 + 7*o**3 + 2*o**2 - 7 wrt o?
186
Let o = -5 - -9. Suppose -2 = -o*l + 14. Find the third derivative of -l*i**2 + 5*i**3 + 5*i**2 - 3*i**3 wrt i.
12
Let p(i) be the second derivative of i**6/180 + i**5/60 + i**4/12 + 3*i. Let h(r) be the third derivative of p(r). Find the first derivative of h(t) wrt t.
4
Suppose -3*z = 22 - 4. Let c = z + 12. Find the first derivative of c*h**4 - 9 + 6 - 4*h**4 + h**4 wrt h.
12*h**3
Let z(d) be the third derivative of 0*d**6 + 0*d**3 + 0*d + 2/105*d**7 - 3*d**2 + 1/30*d**5 + 0 + 0*d**4. Find the third derivative of z(r) wrt r.
96*r
Let i(r) be the third derivative of 1/30*r**6 + 3*r**2 + 0*r + 0 + 0*r**4 + 0*r**5 + 4/3*r**3. Differentiate i(f) wrt f.
12*f**2
Let c(h) be the third derivative of -h**8/6720 - h**6/240 - h**5/30 + 3*h**2. Let p(b) be the third derivative of c(b). What is the derivative of p(w) wrt w?
-6*w
Find the first derivative of 0 + 69*m - 79*m + 2 wrt m.
-10
Let f(v) = -8*v**2 - 9. Let i(c) = -7*c**2 - 8. Let h(s) = -3*f(s) + 2*i(s). What is the first derivative of h(g) wrt g?
20*g
Let o(u) = 7*u**3 - 5*u**2 + 3. Suppose 2*d - 4*d = 10. Let f(x) = 4*x**3 - 3*x**2 + 2. Let b(t) = d*f(t) + 3*o(t). What is the first derivative of b(k) wrt k?
3*k**2
Let u(l) = 32*l**2 + 26*l + 11. Let v(x) = -11*x**2 - 9*x - 4. Let d(y) = 4*u(y) + 11*v(y). What is the second 