*o**2 - 454*o. Let y(m) = -5*k(m) + 7*w(m). Find the second derivative of y(v) wrt v.
-6*v + 274
What is the second derivative of -23*r - 21*r**3 - 31*r**3 + 51*r**3 - 9*r**4 wrt r?
-108*r**2 - 6*r
Let c(b) be the second derivative of -25/12*b**4 - 9*b + 0 + 0*b**3 + 7*b**2. Differentiate c(w) wrt w.
-50*w
Suppose 0 = -4*r + 5*i + 97, -r = -3*r - 2*i + 44. Find the third derivative of 13*c**3 - c**3 - 23*c + 7*c**2 + r*c wrt c.
72
What is the third derivative of 108*h**2 + 59*h**2 + 10*h**3 - 36*h**3 + h**4 - 49*h**2 wrt h?
24*h - 156
What is the third derivative of 7*d**3 - 2*d**3 - 3*d**3 - 61*d**4 + 112*d**4 - 327*d**2 + 57*d**4 wrt d?
2592*d + 12
Let x = 1202 - 1202. Let t(q) be the second derivative of 1/2*q**4 + x + 0*q**3 + 9/2*q**2 - 6*q. Find the first derivative of t(r) wrt r.
12*r
Let x(f) = 2*f**2 + 2*f - 12. Let k be x(4). Find the second derivative of k*r**5 + 32*r**5 - 51*r**5 + 21*r wrt r.
180*r**3
Let w(o) be the first derivative of 261*o**5/5 + 199*o - 72. What is the first derivative of w(t) wrt t?
1044*t**3
Let v(y) be the second derivative of 0 - y**2 + 0*y**4 + 0*y**3 + 9*y + 1/10*y**5. What is the first derivative of v(z) wrt z?
6*z**2
Suppose 3*w - 4 - 8 = 0. Suppose 4 = -w*r + 12. Differentiate i**3 + 3 - i**3 - r*i**3 wrt i.
-6*i**2
Let u(a) = -18*a**2 - 5*a + 29. Let b(l) = 27*l**2 + 8*l - 43. Let y be -1 + 29/(-7) + 22/154. Let f(j) = y*b(j) - 8*u(j). What is the derivative of f(x) wrt x?
18*x
Let l(y) = y**3 - y. Let z be 0 + 12/8*2. Let p(t) = -z*t - 8*t**3 - 9 - 4*t + 3*t. Let a(x) = -4*l(x) + p(x). Differentiate a(b) wrt b.
-36*b**2
Let a = 264 + -258. Let x(s) be the third derivative of 1/120*s**a + 0*s**5 + 0*s + 5*s**2 + 1/6*s**3 + 0*s**4 + 0. Differentiate x(f) with respect to f.
3*f**2
Let h(i) be the first derivative of -8*i + 0*i**2 + 0*i**3 + 0*i**4 - 7 - 12/5*i**5. What is the derivative of h(l) wrt l?
-48*l**3
Let t(w) be the first derivative of -145*w**2/2 + 31*w + 147. Differentiate t(b) wrt b.
-145
Let h(i) = i**3 - i**2 - i + 3. Let m be h(0). Let v = -1 + m. What is the third derivative of 2*p**2 + 0*p**v - 20*p**3 + 15*p**3 wrt p?
-30
Let s(v) be the second derivative of 0 + 0*v**3 - 1/4*v**8 + 0*v**5 + 0*v**7 + 0*v**6 - 20*v + 0*v**2 + 4/3*v**4. What is the third derivative of s(h) wrt h?
-1680*h**3
Let z be ((-7)/2)/((-15)/90). What is the second derivative of 22*v - z*v**2 + 3*v**2 + 8*v**2 wrt v?
-20
Let i(t) be the second derivative of 0*t**2 + t + 0*t**3 + 0*t**5 - 23/30*t**6 - 7/6*t**4 + 0. What is the third derivative of i(s) wrt s?
-552*s
Let y(o) = -377*o**2 + 115*o + 20. Let n(s) = 251*s**2 - 77*s - 14. Let b(w) = -7*n(w) - 5*y(w). What is the second derivative of b(v) wrt v?
256
Let o(k) be the second derivative of 201*k**5/20 + 121*k**2 + k + 138. Differentiate o(u) wrt u.
603*u**2
Let m(o) be the third derivative of -o**8/210 - o**6/18 - 7*o**3/6 + 20*o**2. Let u(j) be the first derivative of m(j). Find the third derivative of u(k) wrt k.
-192*k
Let k = -134 - -70. Let j be k/(-10) + (-45)/(-75). Find the second derivative of -6*t**5 + 0*t**5 + j*t + 4*t**5 wrt t.
-40*t**3
Let a(n) = n**3 + 6*n - 3 + 6 + 0 + 4*n - 11*n**2. Let x be a(10). Find the first derivative of -4*u + 6*u + 3*u - 11 + x*u wrt u.
8
Suppose -3*h = -3*q, 0*h - 4 = -2*q + h. Suppose 2*n = q*t - 152, 4*n = 1 - 17. Find the first derivative of 5 + 36*w + 7*w**2 - t*w wrt w.
14*w
Let l(g) be the second derivative of -11*g**6/720 - 17*g**5/120 - 11*g**4/12 + 4*g. Let c(y) be the third derivative of l(y). Differentiate c(v) wrt v.
-11
Let o(s) be the third derivative of -8*s**2 + 0*s - 1/6*s**7 + 0*s**3 + 13/24*s**4 + 0*s**5 + 0*s**6 + 0. Find the second derivative of o(a) wrt a.
-420*a**2
Let j(p) = p**2 + 8*p + 9. Let n be j(-7). What is the second derivative of -7*q**5 - 209*q + 3*q**2 - 3*q**n + 200*q wrt q?
-140*q**3
Let w(f) = f**3 - f**2 - 2*f + 1. Let h(v) = 128*v**3 - 3*v**2 - 6*v + 46. Let l(t) = h(t) - 3*w(t). What is the derivative of l(z) wrt z?
375*z**2
Let b = 425 + -425. Let k(x) be the third derivative of 1/10*x**5 + 0*x**4 + 11/6*x**3 + 0 + b*x - 9*x**2. Differentiate k(y) wrt y.
12*y
Let c(z) be the second derivative of 1/6*z**4 - 28 + 2*z - 1/2*z**3 + 3/2*z**2 + 3/20*z**5. Find the second derivative of c(o) wrt o.
18*o + 4
Find the third derivative of 5*j**3 - 301079*j + 2*j**4 + 301079*j + 122*j**2 wrt j.
48*j + 30
Let w(b) = -10*b**3 - 5*b**2 + 38*b + 102. Let l(h) = 9*h**3 + 4*h**2 - 35*h - 102. Let j(a) = -5*l(a) - 4*w(a). What is the derivative of j(m) wrt m?
-15*m**2 + 23
Find the first derivative of 311*x + 17 + 341*x - 731*x wrt x.
-79
Find the third derivative of 53*g**2 + 20*g**2 - 150*g**6 + 7*g**3 - 3*g**3 - 4*g**3 wrt g.
-18000*g**3
Let z(h) be the second derivative of 425*h**3/6 + 217*h**2 + 387*h. Find the first derivative of z(n) wrt n.
425
Suppose 5*r + 0*r = 0. What is the derivative of r - 12*i**3 - 12 - 7*i**3 wrt i?
-57*i**2
Let a = -156 + 158. Let x(w) be the first derivative of 0*w + 9 + 11/2*w**a - 11/3*w**3. What is the second derivative of x(m) wrt m?
-22
Let w(b) = 35*b**2 + b - 3*b + b + 7 + 3*b. Let a(m) = 18*m**2 + m + 3. Let t(i) = 7*a(i) - 3*w(i). What is the second derivative of t(d) wrt d?
42
Let o(l) be the second derivative of -203*l**6/30 - l**5/10 + l**4/3 + 33*l**2/2 - 6*l - 33. What is the third derivative of o(g) wrt g?
-4872*g - 12
Let f = 42 - 38. What is the second derivative of k**f - 11*k**4 + 15*k + 21 - 21 wrt k?
-120*k**2
Suppose 4*y = 13 + 11. Suppose -y*j + 5*j + 4 = 0. What is the second derivative of -2*d**4 - 3*d**j + d + 3*d wrt d?
-60*d**2
Let o(b) be the third derivative of 4*b**5/15 - b**4/12 - 61*b**2. Find the second derivative of o(h) wrt h.
32
Let y(c) be the first derivative of -5*c**5/6 - c**3/6 + 21*c**2 + 7. Let h(p) be the second derivative of y(p). Find the first derivative of h(j) wrt j.
-100*j
Let d(y) be the third derivative of 101*y**5/60 - y**4/8 - 11*y**3 + 335*y**2. Find the first derivative of d(s) wrt s.
202*s - 3
Suppose -3*v + 5 = -4. Let x = v + 1. Find the third derivative of 4*q**2 + 7*q**4 - 3*q**2 - 2*q**x wrt q.
120*q
Let o(p) = 107*p**3 + 14*p**2 + 6. Let c(h) = -107*h**3 - 14*h**2 - 4. Let b(i) = 2*c(i) + 3*o(i). What is the third derivative of b(v) wrt v?
642
Let v = 395/996 + 5/249. Let o(x) be the second derivative of 0 + 4*x + 0*x**3 + 1/6*x**6 + 0*x**2 + 0*x**5 - v*x**4. Find the third derivative of o(a) wrt a.
120*a
Let i(l) be the second derivative of 6*l**5/5 - 19*l**4/12 + 2*l. Find the third derivative of i(f) wrt f.
144
Let o(g) be the second derivative of -g**7/420 + g**4/24 + 5*g**3/3 - g. Let f(v) be the second derivative of o(v). Differentiate f(a) with respect to a.
-6*a**2
Let b be -4*(-3)/(-12)*-2. Let q(t) = t**3 - t**2 - t + 2. Let j be q(0). Find the third derivative of 0*k**2 + 3*k**2 - 2*k**b - 4*k**j + 3*k**4 wrt k.
72*k
Find the third derivative of -31*f**5 + 2*f**3 - 69*f**5 + 61*f**5 - 49*f**2 + 4*f**2 wrt f.
-2340*f**2 + 12
Let j(p) be the first derivative of -152*p**3/3 - 620*p - 147. Find the first derivative of j(n) wrt n.
-304*n
Let l(h) be the first derivative of -13*h**5/5 + 5*h**4/2 + 602*h**3/3 + 929. What is the third derivative of l(g) wrt g?
-312*g + 60
Suppose 28 = 4*z - 16. Let p(a) = -a**2 - 6*a + 3. Let b(v) = -5 - v + 3*v**2 - 4*v + 16*v. Let q(o) = z*p(o) + 6*b(o). Differentiate q(x) with respect to x.
14*x
Let b(t) be the first derivative of 61*t**6/2 - t**3/3 - 26*t - 506. Find the third derivative of b(y) wrt y.
10980*y**2
Let n(l) = -537*l**2 + 211*l + 33. Let f(u) = 269*u**2 - 105*u - 20. Let d(m) = -5*f(m) - 3*n(m). What is the second derivative of d(x) wrt x?
532
Suppose -3*b + 5 = 2*b. Let f be b + (6/(-3) - -3). Differentiate 2*c**3 + 3*c**3 - 3 - f*c**3 + 2 with respect to c.
9*c**2
Let z = 10 - 5. Suppose 3*l - 1 - z = 0. Find the first derivative of -5*y**4 - 80*y**l + 80*y**2 - 6 wrt y.
-20*y**3
Let a(h) = h**2 + 3*h. Let z(p) = -568*p**4 + 3*p**2 + 17*p + 141. Let s(d) = 5*a(d) - z(d). What is the second derivative of s(b) wrt b?
6816*b**2 + 4
What is the second derivative of -23 - 19 + 2*s**3 + 80*s**2 - 19*s + 44 - 15*s**2 wrt s?
12*s + 130
Let q(n) be the first derivative of -79*n**2/2 + 43*n - 21. Differentiate q(z) wrt z.
-79
Let x(w) = -14*w - 5