- 6*a**h + a wrt a?
-36*a
Let k(b) be the third derivative of -23/120*b**6 + 8/3*b**3 + 0*b + 0*b**5 + 0*b**4 - 34*b**2 + 0. Differentiate k(v) wrt v.
-69*v**2
Suppose -4*y - 2*r + 44 = 0, 5*r + 30 = 4*y - 0. Let s be (12/3)/(4/y). What is the second derivative of s*u**4 - 8*u + 0*u - 2*u wrt u?
120*u**2
Let k = -29 + 34. Let t(j) = 19*j**2 - 3*j. Let x(w) = -w**2 + w. Let m(u) = k*x(u) + t(u). What is the second derivative of m(s) wrt s?
28
Let f = -39 + 42. Let h(u) = u**2 - 3*u + 11. Let t(d) = -2*d**2 + 5*d - 21. Let s(p) = f*t(p) + 5*h(p). What is the first derivative of s(v) wrt v?
-2*v
Let x(i) be the first derivative of i**6/5 + 7*i**2/2 - i - 13. Let j(p) be the first derivative of x(p). What is the derivative of j(g) wrt g?
24*g**3
Suppose 2*h - 4*i = -7*i + 18, 5*h = -4*i + 31. Find the second derivative of -24*f**h - 28*f**3 - f + 70*f**3 - 12*f wrt f.
108*f
What is the second derivative of 2*m**3 - 4*m**3 + 728*m**2 - 728*m**2 + 22*m wrt m?
-12*m
Suppose 2*k = 4*b + 4*k - 38, -k = -2*b + 25. What is the second derivative of -13*a**2 + 17 - 17 + b*a wrt a?
-26
Let l(y) be the second derivative of -272*y**6/15 + 369*y**2/2 - 356*y. Find the first derivative of l(u) wrt u.
-2176*u**3
Find the first derivative of -25*i**4 + 80 + 5*i**4 - 5*i**4 wrt i.
-100*i**3
Let q(y) be the first derivative of -869*y**4/4 - 437*y**2 - 657. Find the second derivative of q(k) wrt k.
-5214*k
Let u(a) = -42*a**3 - 6*a + 30. Let n(b) = 12 - b**3 - 24 + 13. Let j(g) = 30*n(g) - u(g). Find the second derivative of j(q) wrt q.
72*q
Let w(z) be the first derivative of 2*z**4 + 5*z**3/3 - 88*z**2 - 2*z + 221. Find the second derivative of w(t) wrt t.
48*t + 10
Let c(x) be the first derivative of 7*x**4/12 + 9*x**2/2 + 19*x - 38. Let a(s) be the first derivative of c(s). What is the first derivative of a(k) wrt k?
14*k
Suppose 11 = 8*g - 4*g - s, 10 = 4*g - 2*s. Let b(w) be the second derivative of 5/12*w**4 + 2*w - 2*w**2 + 0 + 0*w**g. What is the derivative of b(y) wrt y?
10*y
Let t(x) be the first derivative of 5*x**4/4 - 2*x**2 - 10*x + 91. Find the first derivative of t(z) wrt z.
15*z**2 - 4
Let b(g) be the third derivative of 1/2*g**3 + 0 - 11*g**2 + 1/12*g**4 + 0*g. Find the first derivative of b(m) wrt m.
2
Let k(x) = -x**2 + 6*x - 4. Let j = 31 + -28. Let l be k(j). Find the third derivative of -2*h**l - 5*h**5 - 2*h**5 + 8*h**2 - 5*h**2 wrt h.
-540*h**2
Let b(d) = 28*d**4 + 47*d + 17. Let p(h) = -9*h**4 - 16*h - 6. Suppose -i + 3*i + 12 = 0. Let q(a) = i*b(a) - 17*p(a). Find the second derivative of q(w) wrt w.
-180*w**2
Suppose 7*r - 2*r = 105. Let p = r + -12. Find the third derivative of -96*l + 96*l + p*l**3 - 12*l**2 wrt l.
54
Let c(l) = l - 2. Let v be c(-3). Let h = -3 - v. Differentiate 3 + 8*g**2 + 3*g**h - 15*g**2 with respect to g.
-8*g
Let s(z) = -5*z**2 + 2*z + 5. Let i(d) = -6*d**2 + 2*d + 4. Let x(o) = 3*i(o) - 4*s(o). What is the derivative of x(m) wrt m?
4*m - 2
Let g(m) be the first derivative of 75*m**3 - 282*m - 345. Differentiate g(y) with respect to y.
450*y
What is the derivative of 105*o - 156 + 119*o - 43*o + 84*o wrt o?
265
What is the second derivative of 5*w**5 - 56*w**3 - 3*w**5 + 12*w**3 - 71*w wrt w?
40*w**3 - 264*w
Let v(s) = 83*s - 72. Let w(p) = 83*p - 72. Let c(h) = 4*v(h) - 3*w(h). Differentiate c(r) with respect to r.
83
Let u(m) = -737*m**3 - 326*m**2 + 39*m + 13. Let t(q) = 369*q**3 + 163*q**2 - 18*q - 6. Let l(h) = 13*t(h) + 6*u(h). Find the third derivative of l(a) wrt a.
2250
Suppose -5*n = -5, 3*n + 0*n - 7 = -2*p. What is the third derivative of 5*h**2 + h**5 - 12*h**p - 8*h**2 wrt h?
60*h**2
Let k(p) be the third derivative of 109*p**6/120 - p**5/10 - 17*p**3/3 + 5*p**2 - 16. Find the third derivative of k(t) wrt t.
654
Find the second derivative of -93714*k**3 + 365*k + k**4 + 93714*k**3 - 32*k**2 wrt k.
12*k**2 - 64
Let x(y) be the first derivative of -15*y**5 + 115*y + 265. Differentiate x(d) wrt d.
-300*d**3
Suppose 0 = 7*d - 2*d - 10, 2*d = 4*i - 4. Let x(t) be the second derivative of 5*t - 1/6*t**3 + 0 - 2*t**i. Find the first derivative of x(m) wrt m.
-1
Let r(k) = 6*k**2 - 8*k + 69. Let t(d) = 3*d**2 - 4*d + 34. Let n(m) = -6*r(m) + 11*t(m). Differentiate n(x) wrt x.
-6*x + 4
Let g(z) be the second derivative of 54*z**7/7 + 10*z**4 + z - 90. Find the third derivative of g(r) wrt r.
19440*r**2
What is the third derivative of -81*s**3 + s - 11*s**3 + 68*s**2 - 132*s**2 + 0*s wrt s?
-552
Let w = 5 - 3. Let f be (3 - 44/(-8))*w. What is the third derivative of v**2 - 10*v**4 + f*v**4 - 12*v**4 wrt v?
-120*v
Find the third derivative of -9 - 9 - 842*j**2 - 14 - 154*j**3 + 32 wrt j.
-924
Let p(i) be the third derivative of -5*i**8/336 - 5*i**4/24 + 5*i**3/6 + 2*i**2 + 6*i. Find the second derivative of p(b) wrt b.
-100*b**3
Let g = -265 + 270. Let w(n) be the first derivative of 0*n**2 + 3/2*n**4 - 6*n + 0*n**3 - g. What is the first derivative of w(p) wrt p?
18*p**2
Let c = -351 + 355. Let m(y) be the second derivative of 0*y**2 + 0 - 7*y - 1/3*y**c + y**3. Find the second derivative of m(j) wrt j.
-8
Let u(x) be the second derivative of -x**6/8 + x**4/4 + 15*x**2/2 - 3*x. Let l(g) be the first derivative of u(g). What is the second derivative of l(s) wrt s?
-90*s
Let z(i) = -495*i - 627. Let t be 9/(180/16)*-5. Let g(a) = 26*a + 33. Let u(h) = t*z(h) - 77*g(h). What is the derivative of u(o) wrt o?
-22
Suppose 3*g + q - 15 + 6 = 0, 4*g + 2*q = 14. What is the second derivative of -23*i**3 + 330*i**g - 330*i**2 - 26*i wrt i?
-138*i
Let b be 5/(-3)*(-24)/20. Find the third derivative of 19*k**2 - 2*k**4 + 76*k**5 - 73*k**5 + b*k**4 wrt k.
180*k**2
Let k(j) = j**2. Let l(f) = 159*f**4 - 5*f**2 + 119*f + 1. Let c(t) = -5*k(t) - l(t). What is the second derivative of c(i) wrt i?
-1908*i**2
Let y(o) be the third derivative of -193*o**6/120 + 863*o**5/60 - o**2 - 175*o. Find the third derivative of y(t) wrt t.
-1158
What is the third derivative of -454*r**2 + 38*r**5 + 16 - 305*r**5 + 455*r**2 wrt r?
-16020*r**2
Let b(v) = -9*v + 9. Let p(h) be the third derivative of 1/12*h**4 - 1/3*h**3 + 0 + 2*h**2 + 0*h. Let x(m) = 5*b(m) + 24*p(m). Differentiate x(r) wrt r.
3
Let x(v) = -v**3 + 5*v**2 + 9*v - 6. Let o be x(6). Let c be o/(-8)*-2 + -1. Find the third derivative of -2*f**5 + 7*f**5 - 6*f**c + 0*f**5 + 8*f**5 wrt f.
780*f**2
Let o(f) = 67*f**3 - f**2 - 12*f + 4. Let z(n) = -67*n**3 + 2*n**2 + 11*n - 3. Let v(i) = -3*o(i) - 4*z(i). Find the third derivative of v(r) wrt r.
402
Let l(h) be the second derivative of -139*h**4/6 - 291*h**2/2 - 236*h. What is the first derivative of l(t) wrt t?
-556*t
Let r(w) = 13*w**4 - 69*w**2 + 277*w. Let b(u) = -28*u**4 + 137*u**2 - 555*u. Let h(x) = 6*b(x) + 13*r(x). Find the second derivative of h(p) wrt p.
12*p**2 - 150
Find the second derivative of 9*j - 29*j**3 + 75*j - 13*j**3 - 2*j**2 wrt j.
-252*j - 4
Let y(d) be the second derivative of d**6/15 + 5*d**3/2 + 9*d**2/2 + d. Let m(l) be the first derivative of y(l). Differentiate m(c) with respect to c.
24*c**2
Let b(d) = -428*d - 276. Let x(j) = -107*j - 69. Let k(w) = 2*b(w) - 9*x(w). Differentiate k(o) with respect to o.
107
Let j(g) be the first derivative of -g**8/105 - g**6/45 + 17*g**3/3 - 3. Let m(a) be the third derivative of j(a). Find the third derivative of m(k) wrt k.
-384*k
Let i(w) be the second derivative of -5/7*w**7 + 7*w + 0*w**3 + 0*w**5 + 0 + 0*w**6 + 5/3*w**4 + 0*w**2. What is the third derivative of i(y) wrt y?
-1800*y**2
Let p be 13/(3 + -2) - 0. Find the third derivative of -p*f**2 + 15*f**4 - 160*f + 160*f wrt f.
360*f
Suppose 0 = -x + 4*x + 15. Let f be 24/30 + (-1)/x. What is the first derivative of -1 + 4 + 3*g**4 + f wrt g?
12*g**3
Let q(w) be the second derivative of -w**6/240 - w**5/40 - 17*w**4/12 + 19*w. Let r(f) be the third derivative of q(f). What is the derivative of r(m) wrt m?
-3
Suppose 3*u + 20 = 62. Find the second derivative of 19*f - 14*f + 10*f**2 + u*f wrt f.
20
Let z(u) = u**3 + 5*u**2 - 8*u + 7. Let j be z(-6). What is the second derivative of j*m**5 + 21*m + 36*m**3 - 36*m**3 wrt m?
380*m**3
Find the third derivative of -7*x**4 - 4*x**4 + 2*x**5 - 6*x - 7*x**4 - 17*x**2 + 18*x**4 + 164*x**3 wrt x.
120*x**2 + 984
Let t(h) be the second derivative of 0 + 0*h**2 + 0*h