
Let d(l) = l**3 - l**2 + l + 1. Let p(m) = 24*m**3 - 2*m**2 + 2*m + 31. Suppose 8*a = 3*a - 5. Let y(c) = a*p(c) + 2*d(c). Differentiate y(b) wrt b.
-66*b**2
Let q(u) be the first derivative of -10*u**6/3 - 7*u**3/3 + 71. What is the third derivative of q(r) wrt r?
-1200*r**2
Let p(m) be the third derivative of -11*m**5/10 + 13*m**3 + 108*m**2. Differentiate p(u) wrt u.
-132*u
Let n(p) = -2*p - 111. Let b(f) = -f - 37. Let a(d) = 14*b(d) - 4*n(d). What is the derivative of a(v) wrt v?
-6
Let x(k) be the second derivative of 0*k**5 - 13*k + 0*k**2 + 11/6*k**3 + 0*k**4 + 0 + 0*k**6 + 1/21*k**7. Find the second derivative of x(i) wrt i.
40*i**3
Let f(a) be the third derivative of -41*a**4/24 + 35*a**3/2 + 824*a**2. Find the first derivative of f(u) wrt u.
-41
Let v be (-6)/(-10) + 6/15. Suppose -v = -w + 2. Find the second derivative of 5*x + 2*x**3 + x + 2*x**w wrt x.
24*x
Suppose 143 = 2*p + 3*o - 1941, 2*p + 5*o - 2080 = 0. Find the third derivative of -i**3 + 10*i**2 + p - 1045 wrt i.
-6
Let o(c) = c**2 + 4*c + 5. Let w be o(-4). Suppose r + 0 = 5*z - 30, 2*r = -10. What is the third derivative of -7*a**2 - 5*a**5 + 2*a**w - 3*a**z wrt a?
-360*a**2
Let f(a) be the third derivative of 0 + 1/12*a**4 + 11/60*a**5 + 0*a - 1/70*a**7 - 34*a**2 + 0*a**6 + 5/3*a**3. Find the second derivative of f(t) wrt t.
-36*t**2 + 22
Let w(s) = 2*s**5 + 29*s**4 + 8*s**2 + 27*s - 4. Let q(r) = -r**5 - 2*r**2 - r + 1. Let o(k) = 4*q(k) + w(k). What is the second derivative of o(d) wrt d?
-40*d**3 + 348*d**2
Let x(m) be the first derivative of 147*m**4/4 + 24*m**3 + 68. Find the third derivative of x(j) wrt j.
882
Let f be ((-2)/5)/(((-2)/1)/20). Find the second derivative of 0*j + 20*j**f - 10*j**4 - 3*j wrt j.
120*j**2
Let c(g) be the first derivative of -44*g**4 - g**2 - 132*g - 691. Find the second derivative of c(o) wrt o.
-1056*o
Let n(g) = g**2 - 2*g - 1. Let m be n(4). Suppose -4*h - 68 = -4*p, 2*h - m*h + 11 = p. What is the first derivative of p*v + 12*v - 17*v + 8 wrt v?
11
Let o(k) = k**2 + 15*k - 10. Let r be o(-16). Let f be (-5)/(-2) - (-2)/(-4). What is the third derivative of r*m**3 - 7*m**f - 68 + 68 wrt m?
36
Let y(o) = -o**2 - 6*o - 5. Let j be y(-3). Suppose -13 + 5 = -j*g. Find the second derivative of 10 + b**g + 6*b - 10 wrt b.
2
Let a(u) be the second derivative of 3*u**7/280 + u**4/4 - u**3 + 13*u. Let m(s) be the second derivative of a(s). What is the derivative of m(b) wrt b?
27*b**2
Let z(d) = -1168*d**3 + 5*d**2 + 41*d + 10. Let h(x) = 583*x**3 - 2*x**2 - 21*x - 4. Let j(b) = 5*h(b) + 2*z(b). Find the second derivative of j(o) wrt o.
3474*o
Let q(o) = 5*o - 5*o**3 + 0 - 4*o + 0 + 2*o**2. Let f be q(-1). What is the derivative of -1 - 5*x**4 - f + 14*x**4 wrt x?
36*x**3
Let o(f) = -f**3 - 3*f**2 - 5*f - 13. Let b be o(-4). Differentiate b*t + 15*t + 13 - 41*t + 18*t wrt t.
15
Let a(s) be the third derivative of 481*s**8/336 + 167*s**5/60 - s**2 + 221*s. What is the third derivative of a(f) wrt f?
28860*f**2
Let i be (-30)/(-3)*7584/15. Differentiate -i*s - 16 - 28*s**3 + 5056*s wrt s.
-84*s**2
Let y(b) be the third derivative of 0 + 1/4*b**4 - 15*b**2 + 0*b - 17/6*b**3. Differentiate y(m) wrt m.
6
Suppose -3*f = 6, u + 0 = 3*f + 8. Let i(x) = 4*x - 4. Let q be i(u). Find the third derivative of 18*k**4 - 3*k**q - 15*k**2 + 2*k**2 wrt k.
360*k
Suppose -2*s = -5*m + s + 133, -m + 25 = s. Find the first derivative of -23*f**4 + 38*f**4 - 69 + m - 59*f**4 wrt f.
-176*f**3
Let w(k) = -22*k**4 + 101*k**2 - 17*k + 11. Let x(p) = -10*p**4 + 50*p**2 - 8*p + 6. Let i(s) = -6*w(s) + 13*x(s). Find the second derivative of i(c) wrt c.
24*c**2 + 88
Let l(i) = 120*i**4 - 4*i**3 - 8*i**2 - 417. Let j(c) = 241*c**4 - 7*c**3 - 14*c**2 - 831. Let n(d) = 4*j(d) - 7*l(d). Differentiate n(g) wrt g.
496*g**3
Differentiate 377*b**4 + 277 - 151 + 184 wrt b.
1508*b**3
Suppose 20 = 5*k, 0 = x - 4*k + 3 + 9. Differentiate 226 - 2*m**x - 221 - 3*m**4 with respect to m.
-20*m**3
Let u(h) be the first derivative of 4*h**5 - 26 + 23/2*h**2 + 0*h + 0*h**4 - 1/3*h**3. What is the second derivative of u(z) wrt z?
240*z**2 - 2
Let b(n) be the third derivative of n**8/112 + n**4/24 - 5*n**3/6 + 17*n**2. Let y(g) be the first derivative of b(g). Find the first derivative of y(u) wrt u.
60*u**3
Let k(p) = -44*p**4 + 94*p**4 + 4*p**2 - 44*p**4. Let j(c) = 29*c**4 + 20*c**2. Let s(q) = 6*j(q) - 33*k(q). What is the third derivative of s(a) wrt a?
-576*a
Find the second derivative of -5*r**5 - 2379*r + 2*r**4 + 2229*r + 7*r**4 - r**5 wrt r.
-120*r**3 + 108*r**2
Suppose -13 = -9*u + 212. What is the first derivative of -5*c + 2*c + u + 19*c + 5*c wrt c?
21
Let m(z) = z**3 - z**2 + z + 1. Let j(f) = 12*f**4 + 11*f**3 - 11*f**2 - 51*f + 11. Let d(t) = -2*j(t) + 22*m(t). What is the second derivative of d(i) wrt i?
-288*i**2
Suppose 2*g = 2 - 0. Let n(q) = 183 - 183 + q - q**2. Let w(p) = 10*p**2 - p. Let v(f) = g*w(f) + 3*n(f). What is the second derivative of v(l) wrt l?
14
Let f(v) be the second derivative of v**7/14 - 2*v**6/15 + 44*v**4/3 + 346*v. What is the third derivative of f(y) wrt y?
180*y**2 - 96*y
Suppose 0 = -2*r - 0*r. Let i(g) be the first derivative of 0*g**4 + r*g**4 + 6*g + 8 + 159*g**5 - 160*g**5. Differentiate i(n) wrt n.
-20*n**3
Let z(n) be the third derivative of 0 + 0*n**6 + 0*n**4 + 0*n**7 - 7*n**2 - 1/56*n**8 + 0*n**3 + 0*n + 1/30*n**5. Find the third derivative of z(r) wrt r.
-360*r**2
Let k(p) = 9*p + 39. Let r(v) = -6*v - 40. Let q(c) = 3*k(c) + 4*r(c). What is the derivative of q(h) wrt h?
3
Suppose -y + i = y - 4, 8 = y - 2*i. Let t(p) be the first derivative of 0*p**2 + y*p + 3/5*p**5 + 0*p**4 + p**3 + 9. Find the third derivative of t(j) wrt j.
72*j
Let l(m) = m - 5 + 1 - 2*m + 1. Let s be l(-5). What is the third derivative of -6*z**6 - 115*z**s + 3*z**6 + 121*z**2 wrt z?
-360*z**3
What is the derivative of 31*j**2 - 613 + 133 - 178*j**2 - 254*j**2 wrt j?
-802*j
Let m(x) = -113*x**4 + 71*x - 7. Let i(o) = -113*o**4 + 72*o - 8. Let n(b) = 5*i(b) - 6*m(b). Find the second derivative of n(f) wrt f.
1356*f**2
Suppose u + 4*b + 0*b = 19, 0 = -3*u + b + 83. Find the third derivative of 32*h**2 - u*h**5 + 5*h**5 - 17*h**5 wrt h.
-2340*h**2
Let s(j) be the third derivative of j**5/60 + j**4 + 17*j**3/6 - 97*j**2. What is the derivative of s(m) wrt m?
2*m + 24
Let t(m) = 6*m**3 - 6*m**2 + 13*m + 54. Let n(c) = 6*c**3 - 5*c**2 + 12*c + 55. Let h(l) = 6*n(l) - 5*t(l). What is the derivative of h(o) wrt o?
18*o**2 + 7
Let y(i) = i**3 - i**2 + 97*i + 1. Let b(l) = 2*l**3 - 2*l**2 + 293*l + 2. Let s(u) = -4*b(u) + 11*y(u). Find the second derivative of s(k) wrt k.
18*k - 6
Find the third derivative of 0*v + 5*v**3 - 7*v**4 - 3739 + 41*v**2 + 2*v + 3739 - 3*v**2 wrt v.
-168*v + 30
Suppose 2*y - 151 = -q + 2232, -y - 7177 = -3*q. What is the second derivative of -8*n + q - 2391 + 24*n**3 wrt n?
144*n
Let z(o) = 2*o**3 + 8*o**2 - 2*o - 2. Let y(v) = 6 - 18 - v**3 + v**5 + v + 13. Let s(k) = 2*y(k) + z(k). Find the third derivative of s(d) wrt d.
120*d**2
Let n(z) = -z**2 - 1. Let c(a) = -17*a**2 + 23*a - 40. Let k(o) = c(o) - 4*n(o). Let b(p) be the first derivative of k(p). Differentiate b(t) with respect to t.
-26
Let u(j) be the first derivative of -7 + 9*j + 4*j**2 + 6 - 11. What is the derivative of u(c) wrt c?
8
Let l(m) = -53*m**2 - 4*m + 54. Let o(b) = b - 1. Let z(v) = -l(v) - 3*o(v). Differentiate z(j) with respect to j.
106*j + 1
Differentiate -450 + 40*u**2 + 7*u**4 + u**4 - 6*u**2 - 5*u**4 - 12 with respect to u.
12*u**3 + 68*u
What is the third derivative of -14*l**3 - 5*l**4 + 13 + 7*l**4 - 6*l**3 - 2*l**2 wrt l?
48*l - 120
Let d be (-3)/6 + (-13)/(-2). Differentiate -2*u + 1 - d - 5 + 4 with respect to u.
-2
Let k(i) be the second derivative of -i**5/20 + 5*i**4/3 + 103*i**3/6 - 91*i + 3. Find the second derivative of k(l) wrt l.
-6*l + 40
Find the third derivative of 52*q**2 + 32*q**3 - q + 26*q**3 - 48*q**2 wrt q.
348
Suppose 4*s - 37 = 19. Let h be (424/28 + 2)*s. Find the second derivative of 6*n**5 + 240*n**2 - h*n**2 + 4*n wrt n.
120*n**3
Let f(z) = z**2 - 4*z + 6. Let y be f(5). Suppose -4*w + 2 = o + 5, 4*o = w + 22. Find the first derivative of 2 + 16*n**2 - y*n**2 - o wrt n.
10*n
Let r(j) be the third derivative of -55*j**4/3 + 265*