Differentiate 5 - 2*d**x - 10 - 2 + 21*d**4 with respect to d.
76*d**3
Let i = -6 - -11. What is the second derivative of 20*s - 10*s**i + s**5 + 19*s**5 wrt s?
200*s**3
Let x(j) = 44*j**3 + 11*j**2 + 2*j - 2. Let b(h) = -4*h + 8*h - 3 + 10*h**2 - h + 45*h**3. Let n(i) = -2*b(i) + 3*x(i). Find the third derivative of n(z) wrt z.
252
Let j(r) be the first derivative of 17*r**7/840 + r**4/4 + 16*r**3/3 + 19. Let a(c) be the third derivative of j(c). Differentiate a(t) wrt t.
51*t**2
Suppose -5*t + 85 = -3*n, -n - 17 = -t - 2*n. Find the second derivative of -g - t*g**5 + 15*g - g wrt g.
-340*g**3
Let s = 15 + -12. Suppose 4*x = 5*v - 6 - 14, s*v + x - 12 = 0. Find the second derivative of l**4 - 9*l**v - l + 8*l wrt l.
-96*l**2
Let t = -5 - -7. Suppose -10 = -t*w - 3*w. Find the third derivative of -5*u**w + 0*u**2 - 4*u**6 + 3*u**6 + 3*u**6 wrt u.
240*u**3
Let z(n) = 6*n**3 + n**2 + n + 3. Let p(i) = i**3 + i**2 + i. Let w be ((-3)/(-6))/(3/24). Let s(a) = w*z(a) - 4*p(a). Differentiate s(k) with respect to k.
60*k**2
Find the third derivative of 3*i + 3*i**2 + 62*i**6 - 2*i + 38*i**3 - 38*i**3 wrt i.
7440*i**3
Let w(u) be the first derivative of -u**8/1680 - u**4/6 + 16*u**3/3 + 13. Let f(j) be the third derivative of w(j). What is the derivative of f(s) wrt s?
-4*s**3
Let r(b) be the third derivative of 7*b**6/60 + b**4/8 + 2*b**3/3 - 24*b**2 - 2. What is the second derivative of r(n) wrt n?
84*n
Let o = 21 + -21. Suppose o = 13*d - 15*d + 48. Find the second derivative of 6*z**3 + d - 3*z - 4*z - 24 wrt z.
36*z
Let t be ((-21)/(-2))/(6/12). Suppose a + 2*a - 3*y - t = 0, -a - y - 1 = 0. What is the third derivative of 12*g**2 - 6*g**3 + g**3 - 3*g**a - 2*g**2 wrt g?
-48
Let q(h) = 38*h**3 - 7*h**2 + 445*h + 35. Let n(x) = -x**3 + x**2 + 7. Let z(a) = 5*n(a) - q(a). What is the second derivative of z(l) wrt l?
-258*l + 24
Let u(t) be the third derivative of 0*t + 0 - 7/12*t**4 + 10*t**2 - 1/6*t**3. Find the first derivative of u(j) wrt j.
-14
Let o(p) = 6*p**2 - 1. Let m be o(-1). What is the second derivative of 10*g**4 - 2*g**3 + 6*g + m*g + 2*g**3 wrt g?
120*g**2
Let a(u) be the second derivative of -19*u**6/10 + 113*u**2/2 - 31*u - 3. Differentiate a(r) with respect to r.
-228*r**3
Let y(r) be the third derivative of -r**7/105 - r**5/3 - 3*r**4/8 + r**3/6 - r**2 - 7*r. Find the second derivative of y(a) wrt a.
-24*a**2 - 40
Let r(l) be the third derivative of 13*l**6/40 - 22*l**5/15 + 58*l**2 + 2*l. Find the third derivative of r(v) wrt v.
234
What is the derivative of -3*h**2 + 0*h**2 - 38*h + 170 + 5*h**2 - 45 - 19*h wrt h?
4*h - 57
What is the first derivative of 426*m**2 - 894*m**2 + 4*m - 212 + 444*m**2 wrt m?
-48*m + 4
Let p(b) be the second derivative of -117*b**5/10 - 83*b**3/6 - 159*b. What is the second derivative of p(m) wrt m?
-1404*m
Suppose -13*q - 336 = -19*q. What is the derivative of -29 + q + 5*j**3 + j**3 + 8*j**3 wrt j?
42*j**2
Let y(x) = -64*x + 149. Let q(n) = -n. Let i(c) = 2*q(c) + y(c). What is the first derivative of i(g) wrt g?
-66
Let d(t) = -t**2 + 8*t - 6. Suppose y = 5 + 1. Let j be d(y). Find the third derivative of -4*b**2 - 2*b**j + 3*b**3 - 2*b**3 - b**3 wrt b.
-240*b**3
Find the third derivative of 2 - 1 + 10*u**5 + 102*u**5 - 4*u**2 + 3 wrt u.
6720*u**2
Let a(k) = -k**4 + 9*k**2 - 80*k - 241. Let t(s) = -2*s**4 + 12*s**2 - 79*s - 241. Let z(q) = -4*a(q) + 3*t(q). What is the first derivative of z(x) wrt x?
-8*x**3 + 83
Let c be 2/4 - (-3)/2. Let b(d) = 3 - 5 + 2 + 1 - c*d. Let y(r) = 1. Let h(k) = -b(k) + 4*y(k). Find the first derivative of h(g) wrt g.
2
Suppose 0 = 15*j + 84 - 219. Let n(l) = 3*l**2 - 3*l + 3. Let x be n(2). Find the third derivative of -3 + 3 - x*y**2 - y**2 - j*y**5 wrt y.
-540*y**2
Let g(n) = -100*n - 164. Let w(k) = 198*k + 330. Let a(h) = -7*g(h) - 4*w(h). What is the first derivative of a(t) wrt t?
-92
Suppose -5*a + 5 = -3*k, -3*k + 5*a + 55 = -6*k. Let j = 12 + k. What is the second derivative of -3 + i - j*i**2 + 3 + 2*i wrt i?
-4
Let l(u) = -u - 1. Let x be l(3). Let w = 0 - x. What is the second derivative of 9*f - f**4 - f**w - 15*f wrt f?
-24*f**2
Let d(m) = 670*m**3 + 3*m**2 + 6*m - 825. Let l(i) = 668*i**3 + 2*i**2 + 4*i - 824. Let f(c) = -2*d(c) + 3*l(c). Differentiate f(k) wrt k.
1992*k**2
Let n = 13 - 6. Find the second derivative of 8*q**3 - 3*q - n*q + 4*q**3 + 3*q**3 wrt q.
90*q
Let c(d) be the second derivative of 0*d**3 + 1/6*d**6 + 0 + 0*d**5 + 4*d**2 - 3*d + 0*d**4. What is the first derivative of c(y) wrt y?
20*y**3
Let g be 202 - (1 + 1 + -5). Let m = -106 + g. What is the third derivative of m - 99 - 5*p**2 - 4*p**4 wrt p?
-96*p
Let a = 122 + 17. What is the second derivative of -a*c**4 + 10*c + 139*c**4 - 11*c**5 wrt c?
-220*c**3
Let h = -1 + 3. What is the third derivative of 44*c**6 + h*c + 11*c**2 - 2*c - 54*c**6 wrt c?
-1200*c**3
Let s(i) be the second derivative of 4*i**5/15 + 4*i**3/3 + i**2 + 4*i. Let k(r) be the first derivative of s(r). Find the first derivative of k(m) wrt m.
32*m
Find the third derivative of -52*q**2 + 366*q**2 - 397*q**3 + 397*q**3 + q**5 + 46*q**4 wrt q.
60*q**2 + 1104*q
What is the third derivative of 330*k**4 + 156*k - 13*k**2 + k**2 - 8*k**2 + 21*k**2 wrt k?
7920*k
Let l(f) = -2324*f - 2821. Let b(q) = 75*q + 91. Let c(k) = 63*b(k) + 2*l(k). Find the first derivative of c(a) wrt a.
77
Suppose 10*o + 4 = 12*o. Find the third derivative of 10*i**4 - 15*i**2 - 10*i**4 - 2*i**o - 2*i**5 wrt i.
-120*i**2
Let c(u) = -619*u**2 + 191*u - 8. Let o(g) = 4. Let l(s) = c(s) + 2*o(s). What is the second derivative of l(y) wrt y?
-1238
What is the derivative of -22 - 61 + 21*n + 7 - 21 + 18 wrt n?
21
Find the third derivative of -53 - 55*s**6 + 70*s**6 + 2*s**2 - 4*s**4 + 30*s**6 + 3*s**4 wrt s.
5400*s**3 - 24*s
Let g be (48/(-36))/((-3 - -1)/6). What is the second derivative of -1386*a**g + 26*a**5 - 23*a + 1386*a**4 wrt a?
520*a**3
Let g(l) = 310*l**3 + 10*l**2 - 12*l + 28. Let c(w) = 311*w**3 + 9*w**2 - 10*w + 28. Let q(y) = 6*c(y) - 5*g(y). Find the third derivative of q(j) wrt j.
1896
Let k(f) = 17*f**4 + 2*f**3 + 2*f**2 - 10. Let i(m) = -m**4 - m**3 + 3. Let v(b) = 4*i(b) + k(b). Find the third derivative of v(t) wrt t.
312*t - 12
Let y(u) = -u + 18 + 4*u - 36. Let m be y(6). Find the second derivative of 3*q + 6*q - 3*q**2 + m*q + 2*q**2 wrt q.
-2
Let p be 0 - ((-4 - -1) + -1). Suppose -p = -a - 2*k + 1, -5*a = 3*k - 25. What is the first derivative of z + 8*z + 2 + a*z - 4*z wrt z?
10
Let m(c) = 397*c**3 - 48*c**2 - 17*c + 191. Let h(t) = -199*t**3 + 22*t**2 + 8*t - 95. Let o(y) = -13*h(y) - 6*m(y). Find the second derivative of o(q) wrt q.
1230*q + 4
Let x(k) = -k**3 - 7*k**2 - 12*k - 2. Let h be x(-5). What is the first derivative of 15 + 4*v**3 - 12*v**3 + 2 - h*v**3 wrt v?
-48*v**2
What is the second derivative of -32*d**3 + 33*d**3 + 13*d - 92*d**2 - 50*d - 15*d + 1 wrt d?
6*d - 184
Suppose -39 - 41 = 5*f. Let t = -14 - f. Find the second derivative of 2*v - 2*v**3 + 18*v**5 - 17*v**5 + t*v**3 wrt v.
20*v**3
Find the second derivative of 83*d**5 - 53*d**5 - 160*d + 8*d**2 - 8*d**2 wrt d.
600*d**3
Let s(h) be the third derivative of 0*h + 0 + 1/3*h**4 + 18*h**2 + 13/3*h**3. What is the derivative of s(m) wrt m?
8
What is the second derivative of 126*y - 9 - 40*y**2 - 6 - 125*y**2 - 61*y - 74*y wrt y?
-330
What is the third derivative of -2*b**4 + 4 + 26*b**2 - 5*b**2 + 13*b**3 + 33*b**3 wrt b?
-48*b + 276
Let n(z) be the third derivative of -323*z**6/120 + z**4/12 - 17*z**3/6 - 86*z**2. What is the second derivative of n(u) wrt u?
-1938*u
Let p(v) be the first derivative of -8*v**3 - 8 - 4 + 3*v**3 - 6*v**3 + 13*v**2. What is the second derivative of p(h) wrt h?
-66
Let y = 24 - 22. What is the third derivative of 2*s**2 + 11*s**4 - 2 - 17*s**4 + y wrt s?
-144*s
Let t(k) be the first derivative of -k**6/3 - 30*k**4 - 12*k**3 + 33. What is the third derivative of t(i) wrt i?
-120*i**2 - 720
Let b(q) be the third derivative of 67*q**6/120 - 19*q**3/6 + 2*q**2 - 2*q. What is the derivative of b(g) wrt g?
201*g**2
Let f(y) = 69*y + 120. Let d(q) = -209*q - 357. Let s(a) = 3*d(a) + 8*f(a). Find the first derivative of s(x) wrt x.
-75
Let n(w) = 5*w - 6. Let v be n(4). Find the third derivative of -5 - v*j**2 + 11*j**3 + 5 wr