). What is the first derivative of p(c) wrt c?
32*c**3 - 3*c**2
Suppose 2*d + 9 = 3*d. Suppose d = 3*k, 7*b + 2*k = 2*b + 41. Find the third derivative of -7*n**2 + 25 - 25 - b*n**6 wrt n.
-840*n**3
Let v(a) = -78*a**3 - 3*a**2 - a - 20. Let c(k) = -77*k**3 - 4*k**2 - k - 21. Let g(n) = 5*c(n) - 6*v(n). Find the second derivative of g(s) wrt s.
498*s - 4
Let h(m) = -2*m**2 + 15*m - 6. Let l be h(7). Suppose 11 = x + l. What is the second derivative of r - 8*r**3 - 5*r + x*r wrt r?
-48*r
Suppose 23 = 5*j - 2. Suppose -4*o - 1 = j*s + 4, -2*o + 5 = s. What is the third derivative of 7*g**5 - 4*g**2 + o*g**2 + 0*g**5 wrt g?
420*g**2
Let r = -4 - -4. Let x = r - -2. Differentiate -5*m**4 - m**4 + 2*m**x - 2*m**2 - 5 wrt m.
-24*m**3
Suppose -b = 5*w - 17, 2*w - 5*b = -5 + 1. Let d(x) be the second derivative of 1/2*x**2 + 1/6*x**w + 0 + 3*x. Find the first derivative of d(t) wrt t.
1
Let z(x) be the first derivative of 11*x**4/24 + 7*x**3/2 - x**2/2 - 20. Let l(s) be the second derivative of z(s). Differentiate l(i) wrt i.
11
Let x(p) = -p - 2. Let q be x(-4). What is the first derivative of -16*v**q - 16 + 0*v**2 + 2 + 2 wrt v?
-32*v
What is the second derivative of 40*d - 39*d - 96 + 167*d**2 + 55 + 58 wrt d?
334
Suppose 4*b = 0, 4*m - 8 = -2*b - 0*b. Suppose -m = t - 2*t. Differentiate 3*i**2 + t*i**2 - 6 - 2 with respect to i.
10*i
Suppose 0 = -11*v + 13*v - 38. Find the third derivative of -1172*j**5 + v*j**2 + 1172*j**5 + 19*j**6 wrt j.
2280*j**3
Let u(k) = -k**2 + 12*k + 7. Let y be u(12). Let p = -3 + y. What is the first derivative of p + 0 + 3 + r**4 wrt r?
4*r**3
Suppose -5*t + r + 6 = 0, 5*r - 27 = -7. Find the third derivative of 2*a**2 + 6*a**3 + 2*a**2 - 4*a**2 - 9*a**t wrt a.
36
Let d(n) = 61*n**3 + 64*n - 6. Let m(c) = 183*c**3 + 193*c - 17. Let y(s) = -17*d(s) + 6*m(s). What is the second derivative of y(p) wrt p?
366*p
Suppose 14 = 87*h - 80*h. Let k(a) be the first derivative of 0*a**h - 3*a + 10 - 7/3*a**3. Differentiate k(u) wrt u.
-14*u
Let b(j) be the third derivative of -9*j**4/4 + 11*j**3/6 - 46*j**2. Differentiate b(y) with respect to y.
-54
Let r(i) be the third derivative of 299*i**6/120 - 367*i**5/60 + i**2 - 113*i. Find the third derivative of r(l) wrt l.
1794
Let i(b) be the first derivative of 113*b**4 - 8*b**3/3 + b - 408. Find the third derivative of i(j) wrt j.
2712
Let u(q) be the second derivative of 0*q**3 - 7/6*q**4 + 0*q**5 + 0 + 0*q**2 + 1/15*q**6 + 7*q. What is the third derivative of u(t) wrt t?
48*t
Suppose d - 9*d = -16. Differentiate -2*f**2 + 2*f**2 + 19*f**d - 14 with respect to f.
38*f
Let f(q) be the second derivative of 61*q**4/12 + 111*q**2/2 - 99*q. What is the derivative of f(h) wrt h?
122*h
Let s(p) be the first derivative of -63*p**4/4 + 62*p**3/3 + 50. What is the third derivative of s(t) wrt t?
-378
Let v(l) be the first derivative of l**4 - l**2 + 56*l + 150. What is the first derivative of v(b) wrt b?
12*b**2 - 2
Differentiate -30 - 108 + 80 + 246*s - 63 - 105 wrt s.
246
Let p(v) be the first derivative of -1/3*v**6 + 0*v**5 + 0*v - 9 - 5*v**3 + 0*v**2 + 0*v**4. Find the third derivative of p(d) wrt d.
-120*d**2
Suppose -5*u - 1 = 3*t, 0 = 2*t - u + 3 - 24. Differentiate -3*v - t*v + 11*v + 2 + 26*v**4 wrt v.
104*v**3
Let n(y) be the first derivative of -y**8/210 - y**6/72 + 3*y**3 - 1. Let d(m) be the third derivative of n(m). What is the third derivative of d(i) wrt i?
-192*i
Let y(j) be the second derivative of -11*j**6/15 - 5*j**4/12 + 7*j**3/6 + 7*j**2/2 + 2*j + 47. What is the second derivative of y(c) wrt c?
-264*c**2 - 10
Find the second derivative of 74*k - 1255 - k**2 + 1255 - 66*k**3 wrt k.
-396*k - 2
Let b(u) be the first derivative of 0*u**2 - u**3 + 0*u + 6 + 0*u**4 + 2/5*u**5. Find the third derivative of b(g) wrt g.
48*g
Find the second derivative of 299 - 180*m**2 + 62*m**2 + 4*m - 3*m - 296 + 0*m wrt m.
-236
Let s(i) be the second derivative of i**6/15 - 91*i**5/20 + 9*i**4 + i**3/6 - i - 91. What is the third derivative of s(b) wrt b?
48*b - 546
Suppose d + 2*d + 5*g - 22 = 0, -5*g + 30 = 5*d. Let c = -67 + 70. Differentiate 3 - d*q**3 - c - 2*q**3 - 2 wrt q.
-18*q**2
Let m(q) be the first derivative of -9*q**7/70 - 35*q**3/6 - 4*q**2 + 30. Let n(t) be the second derivative of m(t). Find the first derivative of n(k) wrt k.
-108*k**3
Suppose -660 = -6*s + 5*s - 5*n, 2*n = 6. Find the third derivative of -s*d**3 + 10*d**4 + 20*d**2 + 645*d**3 wrt d.
240*d
Let x(b) be the third derivative of 343*b**4/24 - 97*b**3/3 + b**2 - 118*b. What is the derivative of x(f) wrt f?
343
Let x(z) = -z**4 + z - 1. Let v(p) = 5*p**5 - 5*p**4 + 48*p**2 + 4*p - 4. Let j(s) = v(s) - 4*x(s). Find the third derivative of j(g) wrt g.
300*g**2 - 24*g
Let p be (-71)/(-12) + 33/396. Let f(v) = v**3 - 3*v**2 + 3*v - 4. Let y be f(3). Find the third derivative of -4*s**2 - 7*s**y + 7*s**5 - s**p wrt s.
-120*s**3
Let t(h) be the first derivative of 12 + 8*h + 7/2*h**2. What is the first derivative of t(v) wrt v?
7
Let d(f) be the second derivative of 8*f + 0*f**5 + 0*f**7 + 0*f**3 + 0*f**6 + 0*f**2 + 1/2*f**4 + 0 - 3/14*f**8. What is the third derivative of d(l) wrt l?
-1440*l**3
Let z(f) be the third derivative of 0*f + 1/4*f**4 + 0*f**5 + 0*f**6 + 20*f**2 + 0*f**3 + 0 - 1/30*f**7. What is the second derivative of z(a) wrt a?
-84*a**2
Let y(g) be the third derivative of g**7/210 + g**5/20 + 61*g**4/12 + 30*g**2. Find the second derivative of y(u) wrt u.
12*u**2 + 6
Find the third derivative of 30*z**3 + 0*z**3 - 25*z**3 + 24*z**4 + 154*z**2 wrt z.
576*z + 30
Let r(k) = k**3 - k**2 + 5 + 1 - 3 - 2*k + 0*k**3. Let d be r(2). What is the second derivative of d*x**2 + 0*x - 3*x**2 - 4*x**4 + 7*x wrt x?
-48*x**2
What is the third derivative of -156*o**2 + 243*o + 167*o**3 + 30*o**3 + 82*o**2 - 92*o + 72*o**2 wrt o?
1182
Let j(u) = -u**2 - 9*u - 4. Let g be j(-10). Let c = -12 - g. What is the first derivative of c*r**3 - 2 + r**3 + 3 - 4*r**3 wrt r?
-3*r**2
Let t(u) = u + 12. Let b be t(-8). Let n = -274 - -275. Differentiate 3*z**3 - b - n + 5*z**3 - 3 with respect to z.
24*z**2
Let k(f) = 16*f**3 - 44*f + 14. Let j(l) = -8*l**3 + 12*l**3 + 5 - 15*l + l**3. Let y(s) = -14*j(s) + 5*k(s). What is the second derivative of y(v) wrt v?
60*v
Let s be (-40)/180 + 2/18*38. Find the first derivative of 216*y**3 - 20*y**s - 14 + 2 - 216*y**3 wrt y.
-80*y**3
Let d(x) = 547*x - 296. Let z(h) = 273*h - 146. Let c(b) = 2*d(b) - 5*z(b). What is the derivative of c(s) wrt s?
-271
What is the second derivative of -n**3 - 2*n**3 - 17*n - 15*n**2 + 28*n + 5 - 12*n wrt n?
-18*n - 30
Let a(g) = 38*g**3 - 36*g**2 - 8*g. Let h(f) = f**2 - f. Let d(u) = a(u) - 6*h(u). What is the third derivative of d(y) wrt y?
228
Let m(o) = o**3 - o**2 - 1. Let d(u) = -2*u + 3*u - 7 - 7*u**2 + 0 + 10*u**3 + 0. Let t(a) = -3*d(a) + 21*m(a). What is the second derivative of t(x) wrt x?
-54*x
Let y(p) = 15*p**4 + 663*p**3 - p**2. Let q(s) = -7*s**4 - 331*s**3 + s**2. Let b(i) = 13*q(i) + 6*y(i). What is the third derivative of b(k) wrt k?
-24*k - 1950
Let c = -21 + 26. Suppose c*d + 3 - 18 = 0. What is the second derivative of 146*q - 139*q + 15*q**d + q**2 - q**2 wrt q?
90*q
What is the derivative of -15461*q + 15461*q - 17 + 37*q**2 + 2*q**4 wrt q?
8*q**3 + 74*q
Let j(y) be the second derivative of 5*y + 1/10*y**5 + 0*y**2 + 5/12*y**4 + 0*y**3 + 0. Find the third derivative of j(m) wrt m.
12
Find the third derivative of 271 + 0*k**6 - 234 - 2*k**2 + 9*k**6 wrt k.
1080*k**3
Let q(m) be the third derivative of m**9/432 + 13*m**6/360 + m**3/3 - 4*m**2. Let l(h) be the first derivative of q(h). Find the third derivative of l(f) wrt f.
420*f**2
Let s(d) be the third derivative of -d**9/2160 - 2*d**5/15 - 7*d**4/8 + 8*d**2. Let r(m) be the second derivative of s(m). Differentiate r(o) with respect to o.
-28*o**3
Let g(m) be the third derivative of 0*m + 0*m**6 + 0*m**4 + 4/105*m**7 + 0*m**3 + 11*m**2 - 1/15*m**5 + 0. What is the third derivative of g(k) wrt k?
192*k
Let f(x) = 65 + 0*x + 65 - 2*x - 133. Let b(i) = i + 1. Suppose -4*h + 9 + 7 = 0. Let g(y) = h*b(y) + f(y). Differentiate g(s) wrt s.
2
Let q = -729 + 731. Let c(n) be the second derivative of n + 0 + 0*n**3 - 2*n**q + 0*n**4 + 1/20*n**5. What is the derivative of c(g) wrt g?
3*g**2
