w.
24*w
Let a be (8/4)/(-1) + 6. Let w(c) = -6*c - 3 + 0*c - 2 - a*c. Let p(o) = o + 1. Let y(r) = -3*p(r) - w(r). What is the first derivative of y(s) wrt s?
7
Let y(k) = 188*k**5 - 6*k**4 - 843*k - 12. Let o(h) = 189*h**5 - 5*h**4 - 842*h - 10. Let c(m) = -6*o(m) + 5*y(m). What is the second derivative of c(w) wrt w?
-3880*w**3
What is the second derivative of 43*f**4 - 20 + 16 - 16 - f**3 + 8*f - 54*f**4 wrt f?
-132*f**2 - 6*f
Let q(t) = 7*t**6 + 2*t**5 + 42*t**2 - 2*t + 1. Let b(s) = -s**2 + s. Let n(y) = -2*b(y) - q(y). Find the third derivative of n(p) wrt p.
-840*p**3 - 120*p**2
Let y be (169/4 - 0)*4. Suppose -5*c = -4*r + 477, 2*r - 2*c - y = 69. Find the first derivative of 0*o - r + 120 - 13*o**3 + 0*o wrt o.
-39*o**2
Let d(u) = 109*u**2 + 9*u + 28. Let z(t) = 55*t**2 + 5*t + 14. Let y(x) = -6*d(x) + 11*z(x). What is the first derivative of y(m) wrt m?
-98*m + 1
Let b(o) be the second derivative of 1/5*o**5 - 1/12*o**4 + 0*o**2 + 0 - 6*o + 0*o**3. Find the third derivative of b(r) wrt r.
24
Suppose -21*j + 40 = -16*j. Find the second derivative of -6*c - j*c - 2*c**5 + 12*c wrt c.
-40*c**3
Let c(i) be the first derivative of 101*i**7/7 - 73*i**3/3 + i**2 - 18. Find the third derivative of c(q) wrt q.
12120*q**3
Suppose 5*y = 3*h - 56, -3*h - 3*y = -6*y - 48. What is the second derivative of -11*a**3 - 14*a**2 + 2*a**2 + h*a**2 + 4*a wrt a?
-66*a
Suppose 2*d + d = -m, -4*m + 3*d + 15 = 0. What is the third derivative of 11*s**2 + 20*s**m + 12*s**3 + 0*s**3 + 0*s**3 wrt s?
192
Let f = 38 - 23. Suppose -4*n + n = -f. Find the second derivative of -7*x**n + 10*x - 5*x**5 - x**5 + 5*x**5 wrt x.
-160*x**3
Suppose 5*r + 2*f = 7, -4*f - 8 - 2 = 2*r. Find the third derivative of 7*j**3 - 5*j**3 - 21*j**2 + 11*j**r + 6*j**2 wrt j.
78
Let h(m) be the second derivative of -m**7/70 - 13*m**4/24 - 3*m**3/2 - 4*m. Let g(o) be the second derivative of h(o). What is the derivative of g(a) wrt a?
-36*a**2
Let d(f) = 431*f + 213. Let t(x) = -427*x - 214. Let c(u) = 5*d(u) + 4*t(u). Differentiate c(a) with respect to a.
447
Let c(f) be the second derivative of 0 - 13/20*f**5 + 0*f**4 - 9*f + 5/3*f**3 + 0*f**2. Find the second derivative of c(m) wrt m.
-78*m
Let x(q) = q**4 - 2*q - 5. Suppose -5*z - 20 = -0, -3*p = 2*z + 8. Let l(v) = -10*v + p*v + 9*v. Let f(j) = 2*l(j) - x(j). Differentiate f(o) with respect to o.
-4*o**3
Suppose -3*k + k + 16 = 5*s, -k - 2 = 0. Differentiate -9*n**2 - s - 12 + 2*n - 5*n**2 - 35 wrt n.
-28*n + 2
What is the third derivative of 9*b**5 + 6*b + 52*b**6 + 8*b**2 - 5*b**5 - 2*b**5 wrt b?
6240*b**3 + 120*b**2
Find the third derivative of -8*j**2 - 6*j - 8*j**2 + 2*j**3 + 3*j**6 + 19*j**2 + 5*j**3 wrt j.
360*j**3 + 42
Suppose -5*v - 5*o = 0, 8 = -3*v + 2*o + 28. Find the third derivative of 25*r**3 + 16*r**v - 25*r**3 + 14*r**2 + 8*r**2 wrt r.
384*r
Suppose 3*w + 6 = 0, 2*x + 3*w - 6 = -x. Suppose 0 = -2*p + p + 2. Find the first derivative of 5 - 3 - x + p*k - 2 wrt k.
2
What is the third derivative of -9*t**5 + 6*t**2 + 5*t**5 + 130*t**2 + 36*t**5 wrt t?
1920*t**2
Let c be (-1)/(-4 - 22/(-6)). What is the second derivative of r - 18*r**3 + 26*r**c - 2*r wrt r?
48*r
Let x(j) = -12*j**2 - 16*j - 4. Let r(z) = -2*z**2 + 1. Let l(a) = -4*r(a) - x(a). Find the second derivative of l(h) wrt h.
40
Let z be (-204)/(-54) - 6/(-27). Find the third derivative of 25*l**4 - l**4 + l**2 - z*l**2 wrt l.
576*l
Suppose 10 = 2*g - 2*p, 5 + 4 = -3*p. What is the third derivative of -6*q**g + q**2 - 2*q**6 + 22*q**2 - 3*q**6 wrt q?
-600*q**3
Let k(a) = -a**3 + 6*a**2 - 2*a + 9. Let g be k(6). Let j be -1*(g + -1 + 2). Find the first derivative of 2*w - 8 + 5 - 6*w - j wrt w.
-4
Let u(x) be the second derivative of 0 + 1/2*x**2 + 1/6*x**3 - 1/30*x**5 - 6*x + 0*x**4. Let t(d) be the first derivative of u(d). Differentiate t(i) wrt i.
-4*i
Suppose -8 = 4*t, -5*r + 7 + 9 = -3*t. Let c(d) = -2*d**3 - 47*d**2 - 21*d + 56. Let y be c(-23). Differentiate g**2 - 6 - y*g**r + 2*g**2 wrt g.
-14*g
Let h(f) be the third derivative of 30*f**2 + 0 - 11/6*f**3 + 1/6*f**5 + 0*f + 0*f**4. What is the first derivative of h(n) wrt n?
20*n
Find the third derivative of -53*g**4 - 29*g**2 - 5*g**6 + 20*g**4 - 112*g**6 + 31*g**4 - 123*g**2 wrt g.
-14040*g**3 - 48*g
Let k(y) = y**2 + y + 1. Let j(x) be the first derivative of 13*x**3/3 + x**2 - 9. Let p(v) = j(v) - 2*k(v). What is the first derivative of p(m) wrt m?
22*m
Let u = -42 + 73. Find the first derivative of 2 - 5 + u - 57*b + 48*b wrt b.
-9
Suppose 2*z + 2*q = -3*q + 31, -z + 3*q = 1. Suppose -5*v = -v - z. Find the second derivative of -a**5 + 5*a - v*a - a wrt a.
-20*a**3
Let j(w) be the first derivative of -w**10/840 - w**6/60 + w**3/3 + 12. Let x(k) be the third derivative of j(k). Find the third derivative of x(l) wrt l.
-720*l**3
What is the third derivative of -63*l**3 - 95*l**3 + 21 - 55*l**3 + 3*l**2 wrt l?
-1278
Let b(l) be the second derivative of 0*l**2 + 0*l**5 - 47/30*l**6 + 0*l**3 - l**4 + 23*l + 0. Find the third derivative of b(z) wrt z.
-1128*z
Let s(f) be the first derivative of 62*f**5/5 + 63*f + 32. Differentiate s(d) wrt d.
248*d**3
What is the third derivative of 9*n**3 - 46*n**2 - 3*n**3 + 226*n**2 + 25*n**4 - 5*n**3 wrt n?
600*n + 6
What is the third derivative of -2 + 2*h**2 + 3405*h**3 + 12*h**6 - 20*h**5 - 3405*h**3 wrt h?
1440*h**3 - 1200*h**2
Let s(l) be the second derivative of -23/2*l**2 + 0 + 7/2*l**3 + 23*l. Find the first derivative of s(f) wrt f.
21
Let t = -15 + 18. Suppose l + t*l = -3*k + 57, -l + 78 = 5*k. Find the second derivative of -5*p**5 + 0*p + k*p**5 - 3*p wrt p.
200*p**3
Let s(j) be the second derivative of j**6/20 - 11*j**4/24 - 7*j**3/2 - 22*j. Let i(o) be the second derivative of s(o). Differentiate i(p) wrt p.
36*p
Let o(m) = 35*m + 12 - 71*m + 11*m. Let z(w) = -49*w + 23. Let y(a) = -5*o(a) + 3*z(a). What is the derivative of y(d) wrt d?
-22
Let v(p) = 3*p**2. Let k be v(1). What is the third derivative of -18*b**2 - k*b**6 + 9*b**6 + 13*b**3 - 13*b**3 wrt b?
720*b**3
Suppose 5*f = 2*z + 4, f + 0*z - 2*z = -4. Find the second derivative of -g**4 + g + 4*g**4 + 2*g - f*g wrt g.
36*g**2
Let x(q) be the second derivative of q**9/1008 - q**5/30 - 19*q**4/12 - 19*q. Let p(z) be the third derivative of x(z). Find the first derivative of p(j) wrt j.
60*j**3
Let x(q) be the first derivative of q**7/7 + 8*q**5/5 - 278*q**3/3 + 116. Find the third derivative of x(s) wrt s.
120*s**3 + 192*s
Find the first derivative of -32 + 162 + 2075*b**2 - 1218*b**2 wrt b.
1714*b
Let o(d) be the second derivative of d**7/21 + 47*d**6/30 + 265*d**3/2 + d - 124. What is the second derivative of o(u) wrt u?
40*u**3 + 564*u**2
Suppose 2*p - 24 = k - 2*k, 3*k + 4*p - 76 = 0. Find the first derivative of 6*d**3 - 10*d**3 + d**3 - k wrt d.
-9*d**2
Let c be (5 - 1)*-1*21/(-14). Find the third derivative of 20*f**c + 8*f**2 + 3*f**4 + 8*f**2 - 3*f**4 wrt f.
2400*f**3
Let m(s) = 3*s + 4. Let f be m(0). What is the derivative of -2*w**f + 3 + 1 - 2*w**4 wrt w?
-16*w**3
Suppose -d - 2*y = 3 - 5, 4*d = 2*y + 8. What is the third derivative of -44*g**3 - g + 36*g**3 + d*g**2 - 47*g**3 + 3*g wrt g?
-330
Let g(y) = -y**4 - y**2 - y - 2. Let t(h) = 26*h**5 - 4*h**4 + 10*h**2 - 2*h - 2. Let f(s) = -2*g(s) + t(s). What is the third derivative of f(w) wrt w?
1560*w**2 - 48*w
Let n be (-64)/(-28) + (-2)/7. Let b(h) = h + 1. Let f be b(2). Find the second derivative of m**n - 6*m + m + f - 3 wrt m.
2
Let m(z) = 509*z**2 + 12*z + 299. Let p(c) = 1017*c**2 + 22*c + 600. Let o(n) = -11*m(n) + 6*p(n). Differentiate o(b) wrt b.
1006*b
Let m(v) = -6*v**4 - 408*v**2 - 165*v - 17. Let b(t) = 2*t**4 + 136*t**2 + 55*t + 6. Let a(g) = -17*b(g) - 6*m(g). Find the second derivative of a(u) wrt u.
24*u**2 + 272
Let o be (-1 + -1 - -1)*-5. Suppose 70*s - 95*s + 75 = 0. What is the second derivative of x + 3*x + 7*x**s - o*x + 2*x**3 wrt x?
54*x
Find the second derivative of -143*d + 1 - 4 + 38*d**4 + 66*d + 67*d wrt d.
456*d**2
Let l(g) = -429*g**2 - 2*g + 271. Let j(t) = -1287*t**2 - 6*t + 810. Let i(u) = 3*j(u) - 8*l(u). Find the second derivative of i(s) wrt s.
-858
Let a = -41 - -59. Find the first derivative of -6*i**2 - 29 + a*i**2 + 5 wrt i.
24*i
Differentiate -3*y**3 - 9*y**4 + 161 + 268 - 2*y**3 + 0*y