b(j) be the third derivative of p(j). Differentiate b(a) wrt a.
52*a**3
Suppose -20 = -4*u + 4. Find the third derivative of o**3 + 4*o**2 - u*o**3 + 3*o**3 wrt o.
-12
Let v(p) = -6*p - 33. Let q be v(-6). Differentiate -8 + d**q + 39 - 7*d**3 with respect to d.
-18*d**2
Let o be (6/(-4))/(3/(-6)). Differentiate 6 + o*r - 3 + r + 6 with respect to r.
4
Let q(l) = -l - 1. Let p be q(-1). Suppose p*d = 2*i + d - 13, 4*d = i + 16. What is the derivative of 4 - 5 + 8 - 6*y**i wrt y?
-24*y**3
Let j(d) be the first derivative of -34*d**4 + 2*d**3/3 - 5*d**2/2 - 2*d - 57. What is the second derivative of j(s) wrt s?
-816*s + 4
What is the third derivative of -45*m**2 + 60*m**3 - 3*m**2 + 66*m**3 + 83*m**3 - 161*m**2 wrt m?
1254
Suppose -10*t = -16*t + 558. What is the second derivative of 43*r + 18*r**5 + t*r**5 - 62*r**5 wrt r?
980*r**3
Let i(z) be the first derivative of z**7/14 - z**3 + 16*z - 17. Let q(y) be the first derivative of i(y). What is the second derivative of q(g) wrt g?
60*g**3
Find the second derivative of -895*s + 627*s + 754*s**2 - 289*s**2 wrt s.
930
Let k(p) be the first derivative of -211*p**6/2 + 3*p**2/2 + 22*p - 330. What is the second derivative of k(o) wrt o?
-12660*o**3
Let h = 543 - 541. Let v(l) be the second derivative of 0 + 1/12*l**4 + 0*l**3 + l - 3*l**h. What is the derivative of v(g) wrt g?
2*g
Suppose -4*u + 22 = 5*s, -u = -5*s - 2 + 9. Suppose -x = -0 - u. Find the second derivative of 3*m**x - 3*m**3 + 3*m + 2*m**3 wrt m.
12*m
Let j(c) be the third derivative of -1/5*c**6 + 0*c**3 + 0*c**4 + 0*c + 0 + 7*c**2 - 7/60*c**5. Find the third derivative of j(m) wrt m.
-144
Let v(m) = -m**4 - 5 - 9*m**4 - 4 - 1 + 12*m**2. Let p(y) = -4*y**4 + 5*y**2 - 4. Let h(w) = -12*p(w) + 5*v(w). Differentiate h(k) with respect to k.
-8*k**3
Find the second derivative of -76*z**2 + 122*z - 674*z - 612*z**2 wrt z.
-1376
Let v(t) = -585*t**2 - 833*t + 18. Let g(o) = 294*o**2 + 417*o - 8. Let n(r) = -9*g(r) - 4*v(r). What is the second derivative of n(b) wrt b?
-612
Let l be (-12)/10*1/27*-15. Let g(z) be the second derivative of 1/2*z**2 + 3*z - l*z**3 + 0. Differentiate g(o) wrt o.
-4
Suppose -11 = -3*s - 5*j - 26, -4*s + 3*j = -9. Suppose s = -r + 5*r - 8. Find the second derivative of -5*q + 6*q**r - 5*q**2 - q wrt q.
2
Let a(q) be the third derivative of 0*q - 5/24*q**4 - 9*q**2 + 0 - 5/3*q**3. What is the first derivative of a(x) wrt x?
-5
Let l(g) be the third derivative of -73*g**4/8 + 38*g**3 + 9*g**2. What is the first derivative of l(b) wrt b?
-219
Find the second derivative of 6*l**5 + 385*l - 1 + 11*l**5 - 403*l + 4*l**2 wrt l.
340*l**3 + 8
Let i(a) = a**2 + a - 1. Let f(z) = -70*z**2 + 2*z - 27. Let l(u) = f(u) - i(u). What is the second derivative of l(m) wrt m?
-142
Let q(d) be the third derivative of -7/30*d**5 + 1/10*d**6 + 10*d**2 + 0*d + 0*d**3 + 0*d**4 + 0. What is the third derivative of q(l) wrt l?
72
Let k(b) be the third derivative of 89*b**8/336 + b**5/15 - 47*b**3/6 - 3*b**2 + 6*b. What is the third derivative of k(s) wrt s?
5340*s**2
Let k(r) be the second derivative of 191*r**5/5 - 641*r**4/12 - 434*r. What is the third derivative of k(f) wrt f?
4584
Let f(i) be the third derivative of i**8/4 + i**6/120 + 13*i**4/12 + i**3/2 + 102*i**2 + 2*i. Find the second derivative of f(n) wrt n.
1680*n**3 + 6*n
Let k(l) be the second derivative of 3*l**8/28 - 3*l**7/14 + 5*l**4/12 - l**2/2 + 21*l. What is the third derivative of k(g) wrt g?
720*g**3 - 540*g**2
Let f(s) = -226*s - 194. Let c(t) = 75*t + 65. Let p(x) = 17*c(x) + 6*f(x). What is the first derivative of p(l) wrt l?
-81
Differentiate -32*r**2 - 1002 + 102*r + 292 - 92*r + 27*r**2 with respect to r.
-10*r + 10
Let m(d) be the second derivative of 3*d**6/5 - 3*d**5/20 - d**4/6 + 110*d**3/3 + 61*d - 2. What is the third derivative of m(w) wrt w?
432*w - 18
Let m(v) be the third derivative of 8*v**7/105 + v**5/20 + v**4/12 + 14*v**3/3 + 6*v**2 - 3*v. Find the second derivative of m(q) wrt q.
192*q**2 + 6
Let j(m) be the second derivative of 311*m**4/12 - m**3/6 + 8*m**2 + 141*m. What is the second derivative of j(v) wrt v?
622
Let s(z) be the second derivative of 3*z**7/14 + z**6/15 - z**4/6 - 215*z**3/6 + 260*z. Find the third derivative of s(g) wrt g.
540*g**2 + 48*g
Suppose -b + 64 = b. Differentiate -b + 12*p**4 - 13*p**4 - 36*p**4 with respect to p.
-148*p**3
Suppose 3*i = -n + 5, 2*i = -4*n - i + 11. Find the second derivative of -20*g + 15*g**n - g - 6*g + 13*g**2 wrt g.
56
Let t(h) be the third derivative of -h**7/105 + 31*h**6/120 + 23*h**5/12 + 79*h**2. Find the third derivative of t(a) wrt a.
-48*a + 186
Suppose s + 2*k - 24 = -9, 2*s + 5*k - 35 = 0. Let t = 5 - s. What is the derivative of 6 - 2 + 6*c + t - 3*c wrt c?
3
Suppose -17 = -7*o - 3. Differentiate -8*m**o - 2 + 5 - 1 with respect to m.
-16*m
Find the third derivative of 7131*p**2 - 3045*p**2 + 234*p**5 - 3545*p**2 wrt p.
14040*p**2
Let q(k) be the third derivative of 2/35*k**7 + 0 + 0*k - 4*k**2 + 0*k**6 + 0*k**4 - 1/6*k**5 + 0*k**3. What is the third derivative of q(a) wrt a?
288*a
What is the third derivative of -447*m**2 + 381 + 76 - 60 + 446*m**2 - 422*m**3 wrt m?
-2532
Find the third derivative of 6 - 160*d**3 - 4 + 10*d**3 + 32*d**2 - 35*d**3 wrt d.
-1110
Let u(n) = 34*n**3 - 12*n**2 + 5*n + 231. Let c(s) = -33*s**3 + 15*s**2 - 6*s - 231. Let r(v) = 4*c(v) + 5*u(v). Find the second derivative of r(d) wrt d.
228*d
Let d(b) be the third derivative of -1/120*b**6 + 0 + 0*b - 31/24*b**4 - 10*b**2 - 1/6*b**5 + 1/3*b**3. Find the second derivative of d(n) wrt n.
-6*n - 20
Let o(m) = 5*m**2 + 2*m - 2. Let f(y) = -y**2 - y + 1. Let t(g) = 8*f(g) + 3*o(g). Find the second derivative of t(j) wrt j.
14
Let h(f) be the first derivative of f**6 - f**4/2 - 49*f**3/3 - 3. Find the third derivative of h(x) wrt x.
360*x**2 - 12
Let v(a) = -a**3 + 5*a**2 - a - 1. Let n be v(5). Let k be 126/27 + (-2)/n. What is the second derivative of -5 + 5 + k*d - 6*d**4 wrt d?
-72*d**2
Let q = -40 + 61. Suppose 3*t = -h + 9, 6 = -5*t - 2*h + q. What is the third derivative of -m**2 + 5*m**5 - 2*m**t + 2*m**3 - 9*m**5 wrt m?
-240*m**2
Let t(b) be the third derivative of b**7/210 + b**6/120 - 10*b**2. Let s(q) = 49*q**4 + 3*q**3 + 44. Let m(x) = s(x) - 3*t(x). Differentiate m(w) wrt w.
184*w**3
Let y(z) = -z**2 - 9*z - 5. Let k be y(-11). Let b = k + 33. Find the third derivative of 11*f**6 + f**6 + 5*f**6 + f**2 - b*f**6 wrt f.
1320*f**3
Let q be ((-20)/14)/(1/(-7)). Let l(x) = -x + 13. Let i be l(q). Differentiate -i*a**3 - 3 + 0 + 8 wrt a.
-9*a**2
Let m(g) be the second derivative of 37/42*g**7 + 25/12*g**4 + 0 + 0*g**5 + 0*g**2 + 28*g + 0*g**6 + 0*g**3. What is the third derivative of m(y) wrt y?
2220*y**2
Let y(z) = 33*z**2 - 8*z + 20. Let n(h) = -11*h**2 + 3*h - 7. Let j be (-5)/1 + 1 + -4. Let t(x) = j*n(x) - 3*y(x). What is the first derivative of t(p) wrt p?
-22*p
Suppose 0 = -4*n, -4*q + 0*q + 2*n + 12 = 0. Let t be q*(-15)/(-9)*1. Find the third derivative of 0*c**5 - 2*c**5 - 2*c**t + 8*c**2 + 0*c**5 wrt c.
-240*c**2
What is the derivative of -28*i + 12 + 117*i + 64*i - 48 - 29 wrt i?
153
Let r(g) be the third derivative of 19*g**5/20 - g**4/8 + 3*g**3/2 + 29*g**2 - g. What is the second derivative of r(d) wrt d?
114
Suppose -k - 72 = -76. Let p(r) be the first derivative of r**2 + 0*r + 0*r**3 - 1/3*r**6 + 0*r**5 - 8 + 0*r**k. Find the second derivative of p(a) wrt a.
-40*a**3
Suppose -5*l = -8*l + 30. Let p(x) = -x**3 + 10*x**2 + x - 6. Let r be p(l). What is the first derivative of 4 - 5*a**2 + 50*a**4 - 41*a**r + 5*a**2 wrt a?
36*a**3
Let y(h) = 3*h. Let d be y(1). Suppose -x = d*m + 7, -2*x + 2 = -7*x - 4*m. What is the second derivative of 7*g**x + g**2 - 7*g**2 - 2*g wrt g?
2
Let a(s) = -3*s - 6*s**2 + 4*s - 5 + 0*s - 2*s. Let k(t) = -t**2 + 1. Let o(p) = -a(p) - 5*k(p). What is the second derivative of o(q) wrt q?
22
Let b(l) be the second derivative of 0*l**4 + 0*l**2 - 23*l + 7/10*l**5 - 3*l**3 + 0. What is the second derivative of b(z) wrt z?
84*z
Let j(t) be the second derivative of t**7/21 - 41*t**5/20 + 7*t**4/12 + 11*t**2 + 53*t + 5. What is the third derivative of j(h) wrt h?
120*h**2 - 246
Let j(m) be the second derivative of 13*m - 1/2*m**6 + 0*m**2 + 1/3*m**4 + 0*m**3 + 0 + 0*m**5