 + 1. Let d(v) = o(v) - 2*s(v). What is the second derivative of d(f) wrt f?
-960*f**3
Let n(l) be the third derivative of 18*l**7/35 + l**6/60 + 14*l**5/3 - 220*l**2. What is the third derivative of n(f) wrt f?
2592*f + 12
Let u = -35 - -37. Find the third derivative of -10*n**5 + 3*n - u*n**2 + n - 4*n wrt n.
-600*n**2
Let w(c) be the third derivative of -c**9/63 + c**8/112 - 4*c**5/5 + c**2 - c. Find the third derivative of w(v) wrt v.
-960*v**3 + 180*v**2
Suppose n = 4*n + 9. Let q = n + 8. Differentiate 2*w + 2 + q*w - 6*w with respect to w.
1
Let t = 40 - 33. What is the derivative of 0*l**2 + 12 + t*l**2 - 9 - l**2 wrt l?
12*l
Let t(f) be the first derivative of 49*f**6/6 - 4*f**5/5 - 152*f**3/3 - 1047. What is the third derivative of t(u) wrt u?
2940*u**2 - 96*u
Let c be (-5 - 4/(-6))*(-2 - 1). Differentiate d - 5*d - c - 7*d + 10*d wrt d.
-1
Find the third derivative of -4 - 9*b**2 + 1 - 51*b**3 + 1 wrt b.
-306
Differentiate 37 - 13*g**3 + 67*g**3 + g**2 - 122 wrt g.
162*g**2 + 2*g
Let r(f) be the third derivative of 29*f**6/40 + f**5/30 - 19*f**4/24 + f**3/6 - 74*f**2. Find the second derivative of r(j) wrt j.
522*j + 4
What is the third derivative of 35*y**2 + 11*y**3 + 49*y**3 + 62*y**2 + 60*y**3 wrt y?
720
Let w(h) be the second derivative of 0*h**2 - 13/10*h**5 - 17/4*h**4 + 0 + 0*h**3 + 35*h. Find the third derivative of w(z) wrt z.
-156
Let i(u) be the second derivative of 17/2*u**2 + 0*u**3 - 13/30*u**6 + 11*u + 0 + 0*u**5 + 0*u**4. Differentiate i(c) with respect to c.
-52*c**3
Suppose 5*v = 13*v - 24. What is the third derivative of -9*w**2 - 36*w**2 - 39*w**3 + 29*w**3 - v*w**6 wrt w?
-360*w**3 - 60
Let q(p) be the second derivative of -14*p**5 - 19*p**4/4 - p + 80. What is the third derivative of q(k) wrt k?
-1680
Let s(r) = -83*r**2 + 4*r - 4. Let t(f) = -582*f**2 + 27*f - 27. Let h(v) = -15*s(v) + 2*t(v). What is the second derivative of h(b) wrt b?
162
Let n = 18 - -4. Suppose -5*a - 5*l + 310 = 0, -n - 156 = -3*a - 5*l. What is the third derivative of -1 - 67*j**2 + 1 + 6*j**3 + a*j**2 wrt j?
36
Let t(y) be the third derivative of -113*y**5/60 - 56*y**3/3 - 186*y**2. Differentiate t(o) wrt o.
-226*o
Differentiate 4*r + 257 - 8*r**3 + r**3 + 18*r + 1 wrt r.
-21*r**2 + 22
Let v(y) = -y**2 + y + 4. Suppose 0*b - 21 = 7*b. Let a(i) = -2*i**2 + 3. Let g(p) = b*v(p) + 4*a(p). Find the second derivative of g(u) wrt u.
-10
Let t(r) be the second derivative of -69*r**3 + 247*r**2/2 + 46*r - 2. Differentiate t(o) with respect to o.
-414
Let q(w) be the second derivative of -643*w**3/6 - 144*w**2 + 670*w. What is the first derivative of q(d) wrt d?
-643
Let r(p) = p**3 - 4*p**2 + 2*p + 3. Let a be r(3). Let v = 6 - a. Find the third derivative of 6*h**2 - 3*h**2 - h**v + 7*h**6 - 2*h**2 wrt h.
720*h**3
Let k(t) be the second derivative of 15*t**7/7 + 17*t**4/4 - t**3/3 + 108*t. What is the third derivative of k(a) wrt a?
5400*a**2
Let k(u) be the third derivative of -39*u**4/4 + 415*u**3/6 + 214*u**2. Differentiate k(p) wrt p.
-234
Let o(b) be the second derivative of 15*b**5/4 + 13*b**2 - 2*b + 5. What is the derivative of o(t) wrt t?
225*t**2
Let z = 497 + -497. Let y(u) be the first derivative of 0*u**5 + 0*u**2 + 0*u**4 - u**3 - 4/3*u**6 - 7 + z*u. Find the third derivative of y(m) wrt m.
-480*m**2
Let i(k) be the third derivative of 0*k**3 - 6*k**2 - 1/4*k**5 + 0*k**4 + 0 + 0*k - 11/60*k**6. What is the third derivative of i(f) wrt f?
-132
Let z(m) = m + 1. Let k be z(7). Differentiate k*c**4 + 30*c**3 - 30*c**3 - 1 with respect to c.
32*c**3
Suppose -1 - 4 = a + v, -5*v - 20 = 0. Let x be (-5 - (-2 + a))*-2. Differentiate 7*z - 2 + x - 4 with respect to z.
7
Let n(v) = 4*v**2 + 6*v + 14. Let h be n(-1). Let z(r) be the first derivative of 3*r**3 + h + 0*r - 3/2*r**2. Find the second derivative of z(p) wrt p.
18
Find the first derivative of -27*c - 22*c**4 + 29*c - 456 - 389 wrt c.
-88*c**3 + 2
Let o(f) be the third derivative of -22*f**2 + 0 + 1/10*f**5 - 1/8*f**6 + 0*f + 0*f**3 + 0*f**4. What is the third derivative of o(y) wrt y?
-90
Let g(z) = -z**3 - 9*z**2 - 7*z + 10. Let c be g(-8). Find the third derivative of -216*b**3 + 104*b**3 + 22*b**c + 112*b**3 + 8*b**5 wrt b.
480*b**2
Let s(r) be the third derivative of -13*r**8/48 + 89*r**4/24 + 51*r**2. Find the second derivative of s(z) wrt z.
-1820*z**3
What is the third derivative of 144*c**2 + 36*c**2 + 591*c**5 + 313*c**5 wrt c?
54240*c**2
Differentiate -9 - 71*f**4 + 118 - 18*f**4 with respect to f.
-356*f**3
Let l be (0 - -1) + 7 - 4. What is the third derivative of 0*c**2 - 2*c**2 + 25*c**l - 12*c**5 - 25*c**4 wrt c?
-720*c**2
Suppose -4*d = -15 - 25. Differentiate 4 - d - 5*i + 7 - i wrt i.
-6
Let x(c) = -5*c**2 - 22*c + 31. Let k(v) = -6*v**2 - 20*v + 32. Let u(j) = -6*k(j) + 5*x(j). What is the first derivative of u(b) wrt b?
22*b + 10
What is the second derivative of -29*p**5 - 94*p - 20*p**2 + 26*p**2 + 8*p**5 - 15*p**5 wrt p?
-720*p**3 + 12
What is the derivative of 608*i - 327*i - 346*i - 51 wrt i?
-65
Let n(f) = 57*f**3 - f - 222. Let v(b) = 114*b**3 - b - 446. Let s(p) = 5*n(p) - 3*v(p). Differentiate s(w) with respect to w.
-171*w**2 - 2
Let v be (-309)/(-9) + (-5)/15. Find the first derivative of v*x**3 - 13*x**3 - 23 + 11*x**3 wrt x.
96*x**2
Let p(i) = 122*i**2 + 5*i + 446. Let z(h) = -30*h**2 - h - 111. Let v(s) = 2*p(s) + 9*z(s). What is the derivative of v(u) wrt u?
-52*u + 1
Let d(u) be the third derivative of -u**6/48 - 7*u**5/120 + u**4/3 - 15*u**2. Let b(l) be the second derivative of d(l). Differentiate b(t) wrt t.
-15
Differentiate -447*p**2 - 3897*p + 3898*p + 5 + 167*p**2 wrt p.
-560*p + 1
What is the derivative of 63 - 128 + 8*q**4 + 67 + 6*q - 6*q wrt q?
32*q**3
Let z(i) = -2*i - 16. Let a be z(-11). Let p be (6/8)/(a/16). Find the first derivative of 2 - 2*l**p - l**2 + 2 wrt l.
-6*l
Let l(c) be the first derivative of -12*c + 3 + 5/2*c**2. What is the first derivative of l(h) wrt h?
5
Let n = 5 + 0. Suppose -7 = -3*s - 1. What is the second derivative of u**2 + 0*u**2 + n*u**3 - 5*u - u**s wrt u?
30*u
Let s(j) = j**3 - 9*j**2 - j + 12. Let v be s(9). Suppose -2*z - v*k + 13 = -6, 0 = -5*z - k + 28. Differentiate -2 - 2*n - z*n**2 + n + n with respect to n.
-10*n
Let g(u) be the first derivative of -37*u**3/3 + 61*u + 55. Differentiate g(x) wrt x.
-74*x
Let k(u) be the third derivative of 13/336*u**8 + 0*u**3 + 0*u + 0*u**6 - 26*u**2 + 0 - 1/60*u**5 + 0*u**7 + 0*u**4. What is the third derivative of k(v) wrt v?
780*v**2
Suppose -2*n - 24 = -2*m, -5*m + 81 = -0*n + 2*n. Find the second derivative of m*q - 22*q + 44*q - 3*q**2 - 2*q**2 + 2*q**3 wrt q.
12*q - 10
Let i(v) = v + 12. Let c be i(8). Find the first derivative of c + 0*a**4 + 9 + 31*a**4 - 3*a**4 wrt a.
112*a**3
Let b(g) = -427*g**4 + 34*g**2 + 35*g - 33. Let l(q) = 142*q**4 - 12*q**2 - 12*q + 11. Let n(w) = -6*b(w) - 17*l(w). Find the second derivative of n(o) wrt o.
1776*o**2
Let o(c) = 7*c**3 + 6*c**2 - 34*c - 6. Let l(x) = -x**4 + 6*x**3 + 5*x**2 - 34*x - 5. Let j(d) = -6*l(d) + 5*o(d). What is the second derivative of j(p) wrt p?
72*p**2 - 6*p
Let j = -6 + 6. Suppose j = -y + 3*y - 8. What is the derivative of -9 - 2*m**2 + 20 - y wrt m?
-4*m
Let q(b) be the first derivative of 0*b**2 + 0*b**5 + 0*b - 2*b**7 + 1 + 0*b**6 + 0*b**4 - 23/3*b**3. What is the third derivative of q(o) wrt o?
-1680*o**3
Let k(a) = -117*a**2 + 5*a - 11. Let q(x) = 469*x**2 - 22*x + 45. Let w(m) = 9*k(m) + 2*q(m). What is the second derivative of w(u) wrt u?
-230
Let g(u) be the second derivative of 3/4*u**4 + 13/21*u**7 + 0*u**3 + 0*u**5 + 0*u**6 - 8*u + 0*u**2 + 0. Find the third derivative of g(m) wrt m.
1560*m**2
Let o(q) be the second derivative of -7/10*q**5 + 0*q**3 + 0*q**2 + 0 + 28*q + 11/6*q**4. Find the third derivative of o(x) wrt x.
-84
Let c(u) = 235*u**3 - 5*u**2 - 6*u + 78. Let d(l) = -235*l**3 + 6*l**2 + 8*l - 80. Let h(s) = 3*c(s) + 2*d(s). Find the second derivative of h(p) wrt p.
1410*p - 6
Suppose 2*s + 3*y = -s + 39, 5*s - 3*y = 33. Differentiate -13 - 3*m**2 + 6*m**2 - s*m**2 wrt m.
-12*m
Suppose 2 - 10 = -4*w. Let v = 305 + -296. What is the first derivative of -46 - w*r + 49 + 2*r + v*r**4 wrt r?
36*r**3
Let z(r) = 2*r - 5. Let x be z(7). Suppose w + 3 - 5 = 0. Differentiat