t y(p) = -72*p**3 + 237*p**2 + 2*p + 2. Let f(k) = 2*x(k) - 5*y(k). Find the third derivative of f(s) wrt s.
432
Suppose f + 9 = 3*o, -2*o + o + 4*f = -14. What is the first derivative of 228 - 222 + 19*b**2 + 6*b**o wrt b?
50*b
What is the first derivative of 85 + 316540*d - 125*d**2 - 316540*d wrt d?
-250*d
Differentiate -1217*x**4 + 556 + 626*x**4 + 0*x - 4*x + 4*x wrt x.
-2364*x**3
Let s(h) be the second derivative of 10*h**3/3 - 29*h**2 - 87*h. What is the derivative of s(y) wrt y?
20
What is the first derivative of 16*p - 32*p - 153*p**2 + 15*p + 404 wrt p?
-306*p - 1
Suppose 3*a + 4*x - 38 = 0, -3*a + 43 = -0*a + 5*x. Let h = -84 - -86. Find the third derivative of 0*j - 6*j**5 + 3*j**5 - a*j**h + 0*j wrt j.
-180*j**2
Let l be 1 + (2 - (9 - 6)). Let y(n) be the first derivative of -8/3*n**3 + 8 - 1/2*n**4 + l*n**2 + 0*n. What is the third derivative of y(k) wrt k?
-12
Let h = 50 + -48. Find the second derivative of -2*b**2 - 11*b**2 - 35*b + 2*b + b**h wrt b.
-24
Let v = 4 - 2. Differentiate -5 - 2 - 4 + 5 + d**v with respect to d.
2*d
Suppose m + 4*t = -18, t + 26 = 3*m - 3*t. What is the second derivative of 10*a - 2*a**2 - 7*a**m - 5*a**2 + 6*a**2 wrt a?
-16
Let t(y) = 15344*y + 41328. Let i(x) = -82*x - 221. Let m(g) = 560*i(g) + 3*t(g). What is the derivative of m(h) wrt h?
112
Let i(l) be the first derivative of -l**7/70 + 17*l**5/60 + 9*l**2/2 + 7. Let g(w) be the second derivative of i(w). Find the third derivative of g(p) wrt p.
-72*p
Let m(a) be the third derivative of 169*a**7/210 - a**6/60 + 389*a**5/60 + 327*a**2 + 2*a. What is the third derivative of m(y) wrt y?
4056*y - 12
Let d(y) = -27*y**2 + 11*y + 9. Suppose -45 + 25 = 5*f. Let q(b) = -9*b**2 + 4*b + 3. Let h(u) = f*d(u) + 11*q(u). What is the first derivative of h(m) wrt m?
18*m
Let n(y) = 1515*y + 21*y**3 + 5 + 4*y**2 - 1515*y. Let l(o) = o**3 - o**2 - 1. Let z(a) = -5*l(a) - n(a). What is the third derivative of z(i) wrt i?
-156
What is the first derivative of 117*d**3 + 40 - 28 + 68 + 79 wrt d?
351*d**2
Suppose 10 = 5*p - 3*p. Suppose 4*s - 4*b = 32, 3*b + 1 = -4*s + p. What is the second derivative of 7*v**s - 5*v - 8*v**4 + 5*v + 5*v wrt v?
-12*v**2
Let f(i) = i**3 - 6*i**2 + 2*i + 38. Let b(o) = o**3 + 5*o**2 - 2*o - 40. Let y(k) = 4*b(k) + 3*f(k). What is the second derivative of y(j) wrt j?
42*j + 4
Let g(l) = -16*l**3 - 66*l**2 + 4*l. Let z(w) = 16*w**3 + 67*w**2 - 5*w. Let d(r) = -5*g(r) - 4*z(r). Find the third derivative of d(u) wrt u.
96
Differentiate 138*u**3 - 107 + 133*u**3 - 29*u**3 + 38 + 9*u**3 with respect to u.
753*u**2
Let u(h) be the third derivative of 34*h**2 - 1/12*h**6 + 0*h + 0*h**5 + 0*h**3 + 17/24*h**4 + 0. Find the second derivative of u(s) wrt s.
-60*s
Suppose -12 = 12*n - 6*n. Let f(i) = -2*i**3 - 5*i**2 - 3. Let d(m) = -m**3 + m**2 + 1. Let q(k) = n*f(k) - 10*d(k). Find the first derivative of q(v) wrt v.
42*v**2
Let l(n) be the third derivative of 0*n**6 + 0*n**5 - 1/10*n**7 + 5/2*n**3 + 0 + 0*n + 0*n**4 + 24*n**2. Differentiate l(w) wrt w.
-84*w**3
Suppose 0 = -z - 5*w + 26, 2*w - 3*w + 50 = 3*z. What is the second derivative of z*t + 2*t + 18*t**5 + t wrt t?
360*t**3
Let q(m) be the third derivative of 35*m**4 - 325*m**3/3 - 396*m**2 + 2*m. What is the first derivative of q(w) wrt w?
840
Let f(r) be the second derivative of 3*r + 0*r**3 - 5/2*r**2 + 0*r**5 + 0 + 4/5*r**6 + 0*r**4. Differentiate f(v) with respect to v.
96*v**3
Let m(g) = g**3 - g**2 - 7*g. Let z(y) = -y + 2*y**2 - 8*y**2 + 7*y**2. Let w(x) = -m(x) - z(x). What is the second derivative of w(r) wrt r?
-6*r
Let x(i) be the first derivative of 9/5*i**5 + 0*i**4 + 0*i**3 + 0*i + 10 + 5/2*i**2. Find the second derivative of x(f) wrt f.
108*f**2
Suppose -4*w + 73 = -3*f - 43, 3*f = -5*w + 172. Find the second derivative of 2*r**3 + 24*r + w + 26 - 58 + 7*r**2 wrt r.
12*r + 14
Find the third derivative of 266*d**2 - 94*d**4 + 275*d**2 - 543*d**2 + d**6 + 48*d wrt d.
120*d**3 - 2256*d
What is the third derivative of -2 - 3*x**2 + 214*x**3 + 4 - 13 wrt x?
1284
Suppose 4*v + 4*w - 80 + 0 = 0, 4*w = 5*v - 136. Suppose 4*k - v = -0. Differentiate k*j**3 - 5 + 4 - 13*j**3 wrt j.
-21*j**2
Let o(u) be the first derivative of -246*u**7/7 + u**6/3 - 4*u**3/3 + 13*u**2 - 259. What is the third derivative of o(j) wrt j?
-29520*j**3 + 120*j**2
Let t(g) be the second derivative of g**7/30 - 19*g**4/24 - g**2/2 - 13*g. Let m(x) be the first derivative of t(x). Find the second derivative of m(o) wrt o.
84*o**2
Let n = 1 - -4. Let v(h) = -2*h + 5. Let s be v(0). Find the third derivative of -16*q**s - q**2 + 20*q**n + 14*q**2 wrt q.
240*q**2
Let y(b) = 4*b - 6*b + 0*b - 2*b. Let k(p) = -3*p + 1. Let i(a) = -5*k(a) + 6*y(a). Differentiate i(s) with respect to s.
-9
Suppose -4*d + 51 = -5*j, -d + 0*j = -3*j - 18. Let b(k) = k**2 + 10*k + 8. Let g be b(-10). What is the second derivative of 1 + 11*w**3 + 9*w + g - d wrt w?
66*w
Let d(t) be the first derivative of 269*t**5/5 - 110*t**2 + 104. Find the second derivative of d(u) wrt u.
3228*u**2
Let s(k) = -88*k**2 + k + 420. Let b(v) = -177*v**2 + 2*v + 841. Let l(z) = 6*b(z) - 10*s(z). What is the derivative of l(r) wrt r?
-364*r + 2
Suppose -q + 9 - 3 = 0. Suppose 5*r = q + 49. What is the third derivative of -l**2 - 4*l**2 + 0*l**4 - 5*l**2 - r*l**4 wrt l?
-264*l
Differentiate -237 + 204*l - 299*l - 337*l wrt l.
-432
Let o(h) be the third derivative of 97*h**6/60 - h**5/5 + h**4/12 - 65*h**2. Find the third derivative of o(i) wrt i.
1164
Let q(k) be the second derivative of 41*k**6/30 + k**3/3 - 31*k**2/2 - 46*k. Find the second derivative of q(w) wrt w.
492*w**2
Let n = -19 - -21. Find the third derivative of -n*f**2 + 4*f**2 + 3*f**2 + 44*f**3 - 48*f**3 wrt f.
-24
Let i = -610 - -618. Let u(w) be the second derivative of i*w - 1/4*w**5 + 0 + 0*w**3 + 0*w**2 + 1/12*w**4. Find the third derivative of u(o) wrt o.
-30
What is the second derivative of 445*x**3 - 445*x**3 - 103*x + 328*x**4 wrt x?
3936*x**2
What is the second derivative of -761*y**4 + 367*y**4 + 371*y**4 + 167*y wrt y?
-276*y**2
Let b(l) be the second derivative of 33*l**5/5 - 5*l**4/6 - l**3 - 329*l. Find the third derivative of b(q) wrt q.
792
Let f(c) be the second derivative of 26*c**3 - 185*c**2/2 + 97*c + 2. What is the first derivative of f(w) wrt w?
156
Let c(i) = -i**3 + 3*i**2 + 6*i - 6. Let j be c(4). Suppose a + 6 = j*a. Find the third derivative of -3*n**6 - 4*n**6 + 2*n**a + 4*n**6 + 4*n**2 wrt n.
-120*n**3
Let s(a) be the third derivative of 341*a**6/120 - 179*a**3/6 + 2*a**2 + 90*a. Differentiate s(f) wrt f.
1023*f**2
Let x(t) be the first derivative of 89*t**4/2 - 3*t**2/2 + 100*t + 198. What is the second derivative of x(s) wrt s?
1068*s
Let t(d) = -d**6 - d**5 - d**2 + 1. Let h(a) = -36*a**6 + a**5 + 4*a**2 - 2. Let i(b) = -2*h(b) - 2*t(b). Find the third derivative of i(s) wrt s.
8880*s**3
Let f(z) be the third derivative of -9/8*z**4 + 0 + 3*z**2 - 5*z**3 + 0*z. Find the first derivative of f(q) wrt q.
-27
Let l = 137 + -107. Find the third derivative of 10*b - 13*b**3 - l*b**3 - 10*b - 22*b**2 wrt b.
-258
Let p(w) be the second derivative of 0*w**6 - 1/12*w**4 + 28*w - 1/20*w**5 + 0 - 1/6*w**3 + 0*w**2 + 1/3*w**7. Find the third derivative of p(l) wrt l.
840*l**2 - 6
Let j(d) = -376*d**4 + 5*d**2 - 14*d - 133. Let q(x) = -188*x**4 + 2*x**2 - 6*x - 66. Let h(v) = 2*j(v) - 5*q(v). What is the second derivative of h(z) wrt z?
2256*z**2
Suppose 2 = 2*s - 10. Differentiate -21 - 8*n + s*n**2 + 5*n + 6*n with respect to n.
12*n + 3
Suppose 0 = -4*d - 2*u + 6 - 2, 4*u = 5*d - 18. What is the third derivative of -b**2 + 5*b**2 + 2*b**4 + b**4 + 3*b**d wrt b?
72*b
Let v(f) be the third derivative of -211*f**6/60 - 179*f**5/30 - 14*f**2 - 4. What is the third derivative of v(w) wrt w?
-2532
Let y(d) = 2*d**2 + d. Let f(u) = 588*u**5 + 12*u**2 - 207*u. Let z(k) = -f(k) + 6*y(k). Find the second derivative of z(s) wrt s.
-11760*s**3
What is the first derivative of 31*w**3 - 116 + 47*w - 47*w + 6 - 307 wrt w?
93*w**2
Suppose -18 = -4*q - 3*v, -5*q = -v - v - 34. Suppose q = 4*c - c. What is the second derivative of 10*g**3 - 10*g**3 + 2*g - c*g**5 wrt g?
-40*g**3
Let a = 93 + -91. Let g be (0 - -9)/3 + -1. Find the first derivative of -16*m**4 - a*m + 2*m + 18*m**4