-24*l**3 - 21*l**2
Let t(d) be the first derivative of -3 + 3/2*d**4 + 6*d**3 + 0*d + 0*d**2. What is the third derivative of t(a) wrt a?
36
Let y(s) be the second derivative of 83*s**6/30 - 23*s**3/3 + s**2 + 41*s - 1. Find the second derivative of y(k) wrt k.
996*k**2
Differentiate 4 - 6 + 240*o**2 + 28 - 26*o - 243*o**2 wrt o.
-6*o - 26
Find the second derivative of -2*z + 17*z**2 + 93 + 7*z + 15*z**2 - 89 wrt z.
64
Let k(g) be the first derivative of -639*g**7/7 + 421*g**3/3 + 447. What is the third derivative of k(r) wrt r?
-76680*r**3
Suppose 0 = -5*z - 2*c + 93, -42 = -3*z + 2*c + 17. Let w = -15 + z. What is the third derivative of -w*x**3 - 8*x**2 + x**3 + 2*x**3 + 7*x**2 wrt x?
-6
Let l(g) = -5*g + 2*g**3 - 6*g + 6 + 2*g**3 - 2*g**3. Let f(n) = -5*n**3 + 22*n - 13. Let u(d) = -6*f(d) - 13*l(d). What is the second derivative of u(o) wrt o?
24*o
Let r(s) = s + 2. Let i(w) = -31 - 4*w + 12 + 4 + 8 + 0. Suppose -2*a = -5*a - 54. Let f(x) = a*r(x) - 4*i(x). Differentiate f(k) wrt k.
-2
Let d(v) = 2*v**4 - 29*v**3 - 50*v - 6. Let b(r) = r**4 - 10*r**3 - 17*r - 2. Let g(o) = 17*b(o) - 6*d(o). Find the second derivative of g(j) wrt j.
60*j**2 + 24*j
Let t(y) = y**2 + 4*y + 2. Let d(h) = -57*h**2 + 133*h + 10. Let j(s) = -d(s) + 5*t(s). What is the second derivative of j(p) wrt p?
124
Let o(g) = -148*g**2 - 571*g. Let d(h) = 295*h**2 + 1139*h. Let r(t) = -6*d(t) - 11*o(t). Find the second derivative of r(y) wrt y.
-284
Let z(k) = -k. Let a be z(8). Let y be -4*5*4/a. Differentiate 24*j - y*j + 10 - 13*j wrt j.
1
Let x(d) be the first derivative of -3*d**7/7 - 40*d**6/3 + 118*d**3 + 366. What is the third derivative of x(n) wrt n?
-360*n**3 - 4800*n**2
Let w be 8/3 - (-2)/6. Suppose -4*k = k + 15, w*k + 12 = p. What is the second derivative of c**3 - 6*c**p + 3*c - 2*c**2 + 2*c**2 wrt c?
-30*c
Let i(c) = c**3 + 11*c**2 + 9*c + 10. Let a be i(-10). Find the second derivative of 38*g - a*g + 13*g**2 - 8*g wrt g.
26
What is the second derivative of -90*m - 76*m + 61*m - 59*m**5 wrt m?
-1180*m**3
Let q(c) be the first derivative of c**5/4 + 2*c**3/3 + 6*c - 12. Let s(y) be the first derivative of q(y). What is the second derivative of s(w) wrt w?
30*w
What is the derivative of -130*t**2 + 306 - 46*t**2 - 53 wrt t?
-352*t
Let v(b) be the first derivative of -5*b**7/7 + 13*b**5/5 + 7*b**3 - 372. What is the third derivative of v(q) wrt q?
-600*q**3 + 312*q
Let r(v) be the second derivative of -32*v**6/5 + 2*v**4 + v**3 - 81*v. Find the third derivative of r(n) wrt n.
-4608*n
Find the third derivative of 4907*j**4 - 215*j**2 - 4337*j**4 + 92*j**2 - 140*j**2 wrt j.
13680*j
Let s(z) = z**2 + 7*z + 8. Let r(u) = 3*u**2 + 21*u + 23. Let a(w) = -3*r(w) + 8*s(w). Let l be a(-2). Differentiate -5*t - l*t + 2 + 9*t with respect to t.
-1
Let t(g) be the third derivative of -2*g + 0*g**3 + 19*g**2 + 0*g**6 - 1/168*g**8 - 3/20*g**5 + 0*g**7 + 0 + 0*g**4. Find the third derivative of t(m) wrt m.
-120*m**2
Let r(w) = -w**3 - 17*w**2 + 21*w - 19. Let g be r(-19). What is the third derivative of 9*x**6 + g*x**3 + 3*x**2 - 304*x**3 wrt x?
1080*x**3
Let s(t) = -12*t**3 + t**2 + 6*t. Let c(f) = 4 + f**3 + 135*f - 136*f - 4 + f**2. Let a(k) = -6*c(k) - s(k). Find the third derivative of a(v) wrt v.
36
Let h(r) = -r + 3. Let v be h(6). Let w be v/(-4) - (-3)/12. Differentiate 1 - 6*j - w + 2 + 1 with respect to j.
-6
Let r(s) = -10*s**3 - 26*s**2 + 6*s + 198. Let u(b) = -b**3 - 2*b**2 + b. Let a(t) = -r(t) + 6*u(t). Find the first derivative of a(v) wrt v.
12*v**2 + 28*v
Let t = 61 - 34. Let x be 75/t + 4/18. Differentiate -14*i**2 + 6*i**x + 6 + 14*i**2 wrt i.
18*i**2
Let w(n) = -100*n**4 - 74*n - 3. Let l(z) = 101*z**4 + 74*z + 2. Let u(m) = 3*l(m) + 2*w(m). Find the second derivative of u(h) wrt h.
1236*h**2
Let n(l) be the third derivative of 0*l**3 - 3/40*l**6 - 14*l**2 + 0*l**4 - 3/20*l**5 + 0 + 0*l. What is the third derivative of n(b) wrt b?
-54
Let s(c) be the second derivative of 0*c**6 + 0 + 0*c**2 - 6*c + 1/4*c**4 - 4/21*c**7 + 0*c**3 + 0*c**5. What is the third derivative of s(b) wrt b?
-480*b**2
Let m(o) be the first derivative of 1/6*o**3 + 0*o**2 + 5/12*o**4 - o - 3. Let i(f) be the first derivative of m(f). Find the second derivative of i(x) wrt x.
10
Let l(b) = -2*b - 9. Let a be l(-14). What is the derivative of -11*j**3 + a + 14*j**3 + 10*j**3 wrt j?
39*j**2
Let t(b) = 2*b**2 + b. Let p be t(-2). Find the third derivative of 3 + 2 + 36*z**2 - 5 - 21*z**p wrt z.
-2520*z**3
Let h(k) be the third derivative of -9*k**6/20 - 7*k**5/4 + k**2 - 14*k. Find the third derivative of h(z) wrt z.
-324
Let m(r) = -176*r**2 - 16*r - 78. Let s(n) = -59*n**2 - 5*n - 26. Let z(c) = 5*m(c) - 16*s(c). What is the derivative of z(i) wrt i?
128*i
Let z(n) be the first derivative of 0*n**3 - 1 + 0*n**4 + 0*n**2 - 6/5*n**5 + 7*n. What is the derivative of z(b) wrt b?
-24*b**3
Let s(o) be the first derivative of 351*o**7/7 + 388*o**3/3 + 150. Find the third derivative of s(l) wrt l.
42120*l**3
Let b(p) be the first derivative of -4*p**6/3 - p**5/5 + 41*p**3/3 + 41. Find the third derivative of b(n) wrt n.
-480*n**2 - 24*n
Suppose 5*b = 4 + 6. Let t be 1 + (1 - b) + 0. Find the second derivative of -1 + t*p - 6*p + 2*p**5 + 1 wrt p.
40*p**3
What is the second derivative of 43*y - 1 + 18*y + 106*y**3 - 46*y wrt y?
636*y
Let v(u) be the first derivative of 145*u**4/2 - 28*u**3 + 3*u + 509. What is the third derivative of v(m) wrt m?
1740
Let b(h) be the second derivative of -1/2*h**5 + 0 + 0*h**3 - 5*h**2 + 0*h**4 - 9*h. What is the first derivative of b(l) wrt l?
-30*l**2
Find the third derivative of -16*l**5 - 12*l**5 - 89 + 3*l**3 - 43 + 2*l**2 + 30*l**5 - 5*l**5 wrt l.
-180*l**2 + 18
Let c(h) = 2*h**3 - 3 + h + 2*h**3 + 2*h. Let s(m) = -4*m**3 - 4*m + 2. Let q(y) = -4*c(y) - 6*s(y). What is the second derivative of q(w) wrt w?
48*w
What is the second derivative of 544*g**2 - 16*g + 230*g**2 + 7*g - 3 - 83*g**2 wrt g?
1382
Find the second derivative of 2023*x - 4 + 4 - 244*x**3 - 1550*x - 149*x**3 wrt x.
-2358*x
Let w(i) = 13*i - 8. Let s be w(1). Let c(q) be the second derivative of 1/2*q**4 - q + 0*q**3 + 1/5*q**s + 0*q**2 + 0. Find the third derivative of c(j) wrt j.
24
Let f(t) be the first derivative of t**5/5 - 29*t**4/4 + 28*t**3/3 - 61. Find the third derivative of f(g) wrt g.
24*g - 174
Suppose 3*c + a - 3*a = 0, 0 = -4*a + 12. Differentiate -10 - 2*g + 2*g + 14*g**c - 12 with respect to g.
28*g
Differentiate -9*t**2 + 8*t + 10*t - 18*t - 3*t**3 - 272 wrt t.
-9*t**2 - 18*t
Let v(q) be the second derivative of 11*q**7/21 + 7*q**4/12 + 5*q**3/6 + 4*q. Find the third derivative of v(s) wrt s.
1320*s**2
Find the second derivative of 4 + 8*i**3 + 29*i + 8794*i**2 - 3 + 0 - 8834*i**2 - 2 wrt i.
48*i - 80
Suppose -15 - 12 = -9*r. What is the second derivative of -410*f**2 + 410*f**2 - 11*f - 9*f**r wrt f?
-54*f
Find the second derivative of 3*h - 25328*h**2 + 41*h**3 + 47 - 4*h**3 + 25328*h**2 - 7*h**5 wrt h.
-140*h**3 + 222*h
Find the second derivative of 16*r**5 + 8*r - 566*r**5 - 22*r - 2*r**4 - 1 + r**4 wrt r.
-11000*r**3 - 12*r**2
Let f(u) = -7*u**2 + 12. Let j(p) = -8. Let c(r) = 7. Let s(d) = -7*c(d) - 6*j(d). Let l(a) = -f(a) + s(a). What is the first derivative of l(z) wrt z?
14*z
Differentiate -255 - 605 + 577 - 774*k**2 with respect to k.
-1548*k
Find the second derivative of 13*n + 2 - 15 - 2*n**4 + 12 + 47*n**3 + 85*n + 2*n wrt n.
-24*n**2 + 282*n
Let c(s) = -s**2 + 7*s + 16. Let g be c(8). What is the first derivative of 8 - g*l - 22*l**2 + 8*l + 5*l**2 wrt l?
-34*l
Find the second derivative of 158*m**3 - 3*m**2 + 6*m**2 - 228*m - 164*m**3 wrt m.
-36*m + 6
Suppose 4*c = 5*s - 21 - 6, 0 = -4*s - 3*c + 3. Let q be (-14)/(-21)*21/2. Find the third derivative of 0*m**s + 3*m**2 + 3*m**3 - q*m**2 wrt m.
18
Let x be 9/(-12)*2*-604. Find the second derivative of -2*p - 906*p**4 + x*p**4 + 8*p**5 wrt p.
160*p**3
Let x(t) be the first derivative of 44*t**3/3 + 67*t**2/2 + 2*t - 7. What is the second derivative of x(r) wrt r?
88
Let w(r) be the second derivative of -r**4/6 - r**3/6 - 6*r. Let k(m) = -m**2 + m. Let a(f) = 5*k(f) - w(f). What is the second derivative of a(b) wrt b?
-6
Let f(c) be the first derivative of -c**6 + 2*c**5/5 + 61*c**3/3 + 47. Find the t