 + 38
What is the third derivative of 262*x**6 - 2*x**5 + 38*x**6 - 218*x**2 + 268*x**6 - 283*x**2 - 11*x**2 wrt x?
68160*x**3 - 120*x**2
Let w(a) = a**3 - 12*a**2 + 8*a + 15. Let i be w(11). Let g = 27 + i. Differentiate 10*d**4 - 5 - g*d**4 - 5*d**4 wrt d.
-16*d**3
Let a(r) = -19*r - 150. Let m be a(-8). Suppose 0*i = 5*i - 10. What is the first derivative of 3 - 1 - 1 - 6*z**i + m wrt z?
-12*z
Let m(g) = 25*g**3 - 6*g**2 - 2*g + 80. Let t(u) = 24*u**3 - 8*u**2 - 3*u + 81. Let a(s) = 4*m(s) - 3*t(s). Find the first derivative of a(o) wrt o.
84*o**2 + 1
Let b be 6/2*-1*-1. What is the third derivative of -g**b + 4*g**2 - 2*g**2 + 5*g**3 + 0*g**3 wrt g?
24
Let z(f) be the third derivative of -f**6/60 + 2*f**5/15 - 25*f**4/12 + 339*f**2. What is the second derivative of z(q) wrt q?
-12*q + 16
Suppose g = -z + 6, 34 = 4*z + 5*g + 9. Differentiate z*q**4 - 4*q**4 + 10 + 10*q**4 with respect to q.
44*q**3
Let u(r) = 2*r - 13. Suppose 0 = -3*g + f + 30, -g - 5*f + 21 = 3*g. Let m be u(g). What is the second derivative of -14*p - 6*p**4 - 22 + m*p + 22 wrt p?
-72*p**2
Let k be 2/(-10) - 1456/(-130). Find the second derivative of -14 - 2*v**2 + 49 - k*v**3 + 4*v + 25*v**3 - 2*v wrt v.
84*v - 4
Suppose 2*w + 14 = -2*k, -4*w + 5*k - 25 = 12. Let t = -6 - w. What is the second derivative of 0*n**4 - t*n**4 + 2*n - 3*n**4 + n**4 wrt n?
-48*n**2
Let r(y) be the first derivative of -9/2*y**2 - 7/5*y**5 + 11 + 0*y**4 + 0*y**3 + 0*y. What is the second derivative of r(j) wrt j?
-84*j**2
Let x(k) = 254*k - 721. Let t(n) = -505*n + 1443. Let a(g) = -6*t(g) - 11*x(g). Differentiate a(f) wrt f.
236
Let d = -5 + 10. Let u(q) = -q**3 + 6*q**2 + 7*q - 7. Let i be u(d). What is the third derivative of -i + 2*k**2 + 6*k**3 + 53 wrt k?
36
What is the first derivative of -63 - 118*w + 156*w - 52 wrt w?
38
Differentiate 6445 + 321*b - 2152 - 2146 - 2152 with respect to b.
321
Let z(i) = -i**2 + 3*i + 4. Let t be z(3). Let a(g) = g**4 - 5 + t + 0*g**4. Let o(m) = m**4 + 6. Let n(l) = 2*a(l) - o(l). Differentiate n(c) wrt c.
4*c**3
Let m(r) = -98*r - 93. Let y(k) = 101*k + 91. Let v(p) = 4*m(p) + 3*y(p). Find the first derivative of v(x) wrt x.
-89
Let m(u) be the second derivative of 0*u**2 + 0 + 2/3*u**3 + 0*u**4 + 2/5*u**5 + 10*u. What is the second derivative of m(s) wrt s?
48*s
Let t be -1*(-200 - (-20)/5). What is the second derivative of 22*y**3 + 196 + 2*y**3 - t + 10*y wrt y?
144*y
Let i(n) = 3 + 2*n**3 - n**3 - 4*n**2 - 2 + 4 - n. Let a be i(4). Find the third derivative of -a - 4*q**2 + 5*q**2 + 1 - q**6 wrt q.
-120*q**3
Let a = 35 - 6. What is the second derivative of 9*g**3 + 5*g + 29 - a wrt g?
54*g
Let r(j) = 845*j**2 - 5*j - 65. Let b(a) = -421*a**2 + 3*a + 33. Let x(i) = -11*b(i) - 6*r(i). Find the second derivative of x(q) wrt q.
-878
Let u(v) = -502*v**3 + 2*v + 2. Let c be u(-1). What is the second derivative of -502*a**4 + 3*a + 20*a**5 + c*a**4 wrt a?
400*a**3
Let r(l) be the first derivative of 0*l - 13/5*l**5 + 0*l**3 + 7*l**2 + 0*l**4 - 17. What is the second derivative of r(s) wrt s?
-156*s**2
What is the third derivative of 118749*q**3 - 118391*q**3 + 123*q**2 + 112*q**2 wrt q?
2148
Find the third derivative of -s**3 + 7*s**3 + 0*s**2 - 98*s**2 - 8*s**5 + 17*s**5 - 12*s**5 wrt s.
-180*s**2 + 36
Let y(o) = o**3 - 17*o**2 - o + 21. Let a = 5 - -12. Let u be y(a). Find the second derivative of 4*b**3 - u*b - 7*b - 6*b**3 - 9*b**3 wrt b.
-66*b
Find the first derivative of 10*p + 95*p + 193 + 71*p + 0*p wrt p.
176
Let o be 10 - 4/(-2 - -3). Let x be (4/o)/((-16)/(-120)). Find the second derivative of 10*l - x*l - 7*l + 8*l**4 wrt l.
96*l**2
Let n(x) be the second derivative of 493*x**4/12 - 259*x**2 - 192*x. What is the derivative of n(w) wrt w?
986*w
Let i(q) be the second derivative of -19*q**4/3 + 5*q**3/6 + 27*q**2/2 + 19*q + 9. What is the second derivative of i(x) wrt x?
-152
Find the first derivative of 17*a**2 - 119*a**3 - 23 + 115 - 17*a**2 + 27*a**3 wrt a.
-276*a**2
Let s(r) be the second derivative of 75*r**3/2 + 109*r**2 - 96*r. Differentiate s(w) with respect to w.
225
Let v(t) = -838*t**3 + 10*t**2 - 44*t + 11. Let r(m) = -841*m**3 + 12*m**2 - 44*m + 11. Let k(f) = 5*r(f) - 6*v(f). Find the second derivative of k(d) wrt d.
4938*d
Suppose 3 - 11 = -4*t. Differentiate -6*u**2 + 2*u**2 + 0*u**2 + 4 - 2*u**t wrt u.
-12*u
Let a(t) be the third derivative of -139*t**4/12 - 1015*t**3/6 + 666*t**2. What is the derivative of a(d) wrt d?
-278
Let x(v) be the third derivative of -45*v**2 + 0*v + 7/120*v**6 + 0*v**3 + 23/60*v**5 + 0 + 0*v**4. Find the third derivative of x(k) wrt k.
42
Let a(m) = 47*m + 1. Let k(q) be the third derivative of -2*q**4/3 - 6*q**2. Let s(l) = -6*a(l) - 17*k(l). What is the derivative of s(v) wrt v?
-10
Differentiate 968*m + 36 - 73*m**3 - 968*m wrt m.
-219*m**2
What is the first derivative of -131*k**4 - 38*k**4 - 89 - 50 wrt k?
-676*k**3
Let l(k) be the second derivative of -124*k**6/15 - k**4/12 - 5*k**3/2 + 205*k. What is the third derivative of l(p) wrt p?
-5952*p
Let u = -2 + -1. Let r be u/(-12) + (-78)/(-8). What is the second derivative of -r*t**2 + 3*t**2 - 85*t + 90*t wrt t?
-14
Let m(a) be the first derivative of 43*a**3 - 38*a**2 + a - 435. Find the second derivative of m(n) wrt n.
258
Let s(y) be the second derivative of 7*y**6/30 - 65*y**3/6 - 95*y. Find the second derivative of s(q) wrt q.
84*q**2
Let i be (-2)/6*0 + 4. Let r be -2*(-1 - 2/i). What is the first derivative of -6*m**3 - 7 + m**r + 3 wrt m?
-15*m**2
Suppose -11*y + 444 = -8*y. What is the third derivative of -y + 11*i**2 + 148 - 15*i**3 wrt i?
-90
Let y(x) = 6*x**4 - x**3 + 2*x**2 - x + 1. Let u(w) = w**3 - w - w**2 + 2*w + 0*w - 1. Let d(j) = 2*u(j) + 2*y(j). Find the third derivative of d(r) wrt r.
288*r
Let u(b) be the second derivative of 0*b**5 - 17*b + 0*b**6 - 3/7*b**8 + 0*b**3 - 1/3*b**4 + 0*b**2 + 0 + 0*b**7. Find the third derivative of u(o) wrt o.
-2880*o**3
Find the third derivative of -27*n**2 - 13*n**4 - 21*n**2 + 0 + 3*n**3 + 20*n**2 - 1 wrt n.
-312*n + 18
Let t(d) = -7*d**3 - 9*d**2 - 15*d + 3. Let p(g) = 3*g**3 + 4*g**2 + 7*g - 2. Let n(o) = -13*p(o) - 6*t(o). Find the second derivative of n(b) wrt b.
18*b + 4
Let n(t) = t**2 + t - 2. Let w(u) = -446*u**3 - 5*u**2 + 202*u + 10. Let f(d) = -5*n(d) - w(d). Find the second derivative of f(z) wrt z.
2676*z
Let a(y) = 2*y - 22. Let x be a(12). What is the second derivative of -2*w**2 + 28*w**3 + x*w**2 + w - 18*w**3 wrt w?
60*w
Suppose m - 3 = -4*o, 4*o - 5*m = 1 + 8. Differentiate -6*y + 7 + o + 10*y + 0 with respect to y.
4
Let a(q) be the first derivative of -401*q**3/3 - 677*q**2/2 - 348. What is the second derivative of a(n) wrt n?
-802
Let z be ((-3)/6)/((-2)/8). Let a be (-1)/(-1) + 15/15. Find the second derivative of -w**z - 2*w**a - 2*w**2 + 6*w wrt w.
-10
What is the first derivative of -110*r - 33*r + 41*r + 96 wrt r?
-102
Suppose -k - 5*w = 2, 3*w + 6 = 5*k - 12. Suppose -16 = -4*y, k*f - y - 8 = 6. What is the third derivative of p**2 - 7*p**6 - 2*p + p**f + 2*p wrt p?
-720*p**3
Let u = -7 - -9. What is the derivative of -12 - 7 + 2 + s**u + 2 wrt s?
2*s
Let f(r) = r**2. Let p(w) = -181*w**3 - 6*w**2 - 3*w - 37. Let l(g) = 6*f(g) + p(g). Find the second derivative of l(k) wrt k.
-1086*k
Let p be 0 + -2 + 1 + 3. Suppose -p = 2*l - 10. Differentiate 5*q**3 - q**3 - 1 + l - 4 with respect to q.
12*q**2
Let p(t) be the second derivative of 2*t**4/3 + t**3/6 - 95*t**2/2 - 137*t. What is the derivative of p(y) wrt y?
16*y + 1
Let k(z) = -z**4 + 2*z**3 - 2*z**2 + 23*z + 55. Let u(g) = -g**4 + g**3 - g**2 - 1. Let w(a) = -k(a) + 2*u(a). Differentiate w(i) with respect to i.
-4*i**3 - 23
Let j(b) = 2*b**3 - b**2 - b + 1. Let r(c) = 20*c**4 - 15*c**3 - 83*c**2 + 6*c - 6. Let s(t) = -6*j(t) - r(t). Find the third derivative of s(f) wrt f.
-480*f + 18
Let q(f) be the third derivative of -17*f**5/12 + 21*f**4/8 + f**3/6 - 256*f**2. What is the second derivative of q(z) wrt z?
-170
Suppose v + 0*v = 2*s - 18, -4*s = -v - 38. Suppose 0 = -s*a + 6*a + 24. What is the second derivative of -3*j**5 + a*j**5 + 14*j - 20*j wrt j?
60*j**3
Let g(t) = -t**2 - t + 3. Let i(b) = 41*b**3 + 3*b**2 - 182*b - 15. Let j(r) = 5*g(r) + i(r). What is the second derivative of j(n) wrt n?
246*n 