te d(y) wrt y.
12*y**2
Let f(i) be the first derivative of 13*i**6/6 + 2*i**5/5 + 521*i**3/3 - 450. Find the third derivative of f(v) wrt v.
780*v**2 + 48*v
Suppose -3*h - h + 14 = w, 5*w + 26 = 4*h. Find the third derivative of -156 + h*t**6 + 82 + 74 - 35*t**2 wrt t.
480*t**3
Let w(i) be the second derivative of -20*i + 0 + 3/2*i**3 + 13/10*i**5 + 0*i**4 + 0*i**2. Find the second derivative of w(h) wrt h.
156*h
Let s = -70 + 76. What is the third derivative of 2874*p**4 - 17*p**s - 12*p**2 - 2874*p**4 wrt p?
-2040*p**3
What is the first derivative of 7*r + 37*r**2 + 117 + 9*r - 33 - 14*r wrt r?
74*r + 2
Let j(k) = -5*k**5 + 39*k**4 + 29*k**2 - 8. Let c(v) = -6*v**5 + 40*v**4 + 31*v**2 - 9. Let x(t) = 4*c(t) - 5*j(t). What is the third derivative of x(z) wrt z?
60*z**2 - 840*z
Suppose -4 = -6*y + 2*y, -5*y = w - 8. Let b(d) = d**2 - 7*d + 5. Let v be b(8). Find the third derivative of -22*t**3 + 5*t**w + v*t**3 - 4*t**2 wrt t.
-24
Let m be (0 + 0)*(-3)/9. Suppose -3 = 5*g + h, 4*h + m*h = -2*g - 12. What is the third derivative of 3*w**3 + g*w**2 + w**3 - 5*w**2 wrt w?
24
Let m(d) be the first derivative of -37/2*d**2 + 0*d - 14*d**3 + 30. What is the second derivative of m(a) wrt a?
-84
Let u(l) = l**4 - l**2 + l + 1. Let g(s) = -21*s**4 - 2*s**3 - 144*s**2 - 2*s - 2. Let d(j) = -g(j) - 2*u(j). Find the third derivative of d(y) wrt y.
456*y + 12
Suppose 4*i - 114 - 23 = -3*x, -207 = -5*x + 4*i. Find the third derivative of 21*u**3 - 5*u**2 + 14*u**3 - x*u**3 wrt u.
-48
Let x(c) = 8*c**4 + 13*c**2 + 7*c. Let j(h) = 4*h**4 + 7*h**2 + 4*h. Suppose 3*m + 8 = -13. Let b(i) = m*j(i) + 4*x(i). Find the third derivative of b(d) wrt d.
96*d
Let n(g) = g**2 - g + 2. Let d be n(2). Let r = d + -3. What is the first derivative of -3 - 4 - 4*u**3 - r wrt u?
-12*u**2
Find the third derivative of 21*t**3 + 2 - 2*t**2 - 27*t**5 + 23*t**5 - 2 - 94*t - 25*t**3 wrt t.
-240*t**2 - 24
Let c(m) be the third derivative of -m**8/24 - 9*m**5/5 + 80*m**2. Find the third derivative of c(k) wrt k.
-840*k**2
Let x be 282/4 - (-8)/16. Differentiate j**4 + 69 - 2*j**4 - x + 2*j**4 wrt j.
4*j**3
Let s(r) be the first derivative of -7*r**6/60 + 25*r**3/3 + 7*r**2/2 - 4*r - 43. Let o(c) be the second derivative of s(c). Differentiate o(h) wrt h.
-42*h**2
Let g = 43 + -39. Suppose -2*h + 16 = 2*r, 1 = r + r - 3*h. What is the third derivative of g*z**5 - 3*z**6 + z**2 - 2*z**6 - 4*z**r wrt z?
-600*z**3
Let k(p) = 222*p**4 - 8*p**2 + 4*p + 419. Let y(o) = -444*o**4 + 18*o**2 - 9*o - 838. Let h(x) = -9*k(x) - 4*y(x). Differentiate h(i) wrt i.
-888*i**3
Suppose 34 = v + 5*u, 2*v - 9 - 19 = -2*u. Find the second derivative of -7*r + 8*r - v*r**2 + 8*r**2 wrt r.
-2
Let t(n) be the second derivative of 0*n**2 - 18*n + 0*n**5 + 2/3*n**4 + 0*n**6 + 0*n**3 - 13/42*n**7 + 0. Find the third derivative of t(h) wrt h.
-780*h**2
Let q(x) = 51*x - 8. Let h be q(1). Find the third derivative of -1 + 1 - h*u**2 + 0 + 34*u**4 wrt u.
816*u
Let o(r) be the first derivative of 32/3*r**3 + 15 - 11/2*r**2 + 0*r. What is the second derivative of o(i) wrt i?
64
Let t(m) be the first derivative of -28*m**2 - 19*m + 19. Let f(s) = 19*s + 6. Let c(w) = -8*f(w) - 3*t(w). What is the derivative of c(p) wrt p?
16
Find the second derivative of 4 - 15*x**2 - 245*x**3 + 20*x - 34*x**2 + 6*x**4 + 245*x**3 wrt x.
72*x**2 - 98
Suppose 37 = f + 4*f - 3*t, -5*f = 3*t - 43. Find the third derivative of -d**3 + 552*d - f*d**2 - 552*d wrt d.
-6
Let p(a) = a**2 + 7*a + 4. Let c be p(-7). Differentiate c*t + 5*t - 2 - 1 + 0*t with respect to t.
9
Let y(p) be the first derivative of -4*p**4/3 - 5*p**3/3 + 11*p - 1. Let z(x) be the first derivative of y(x). Find the second derivative of z(l) wrt l.
-32
Let r(k) be the third derivative of -44*k**5/15 + k**4/8 - 5*k**3/6 - 3*k**2 + 3. What is the second derivative of r(f) wrt f?
-352
Let q(x) be the second derivative of x**8/56 - 103*x**5/20 + x**4/3 - x**2 + 67*x. Find the third derivative of q(f) wrt f.
120*f**3 - 618
Suppose 0*x + 2*x + 2*a = 14, -12 = -4*a. What is the second derivative of -m**5 + 2*m - m + x*m**5 - 6*m wrt m?
60*m**3
Let k be (-2 + 6)*(9 + -8). What is the third derivative of -h**4 - 12*h**2 + 23*h**2 + 9*h**k - 12*h**2 wrt h?
192*h
Let t = 53 - 46. Find the first derivative of 3 + 6*b**3 - 4 + t wrt b.
18*b**2
Let i = -4 + 10. Differentiate -i*l + 3*l + 17 - 7*l with respect to l.
-10
Let y(s) = 6*s**4 - 4*s**3 + 6*s**2. Let o(r) = r**4 + r**3. Let h(z) = -4*o(z) - y(z). What is the third derivative of h(t) wrt t?
-240*t
Let t(n) = -n + 11. Let u be t(10). What is the derivative of c**2 + 4 - u - 14 wrt c?
2*c
Suppose 0 = -9*g + 6*g + 6. What is the derivative of -5 + 1 + 5*h**2 - 2*h**g + 15 wrt h?
6*h
Let t(r) be the second derivative of 1/10*r**5 + 0 + 0*r**2 + 7/4*r**4 + 0*r**3 - 20*r. What is the third derivative of t(o) wrt o?
12
Let v(y) be the second derivative of -y**6/12 + 7*y**5/30 + 6*y**2 - 12*y. Let a(h) be the first derivative of v(h). What is the third derivative of a(f) wrt f?
-60
Let q be (10/(-4))/(5/(-10)). Suppose 4*v = -3*s + q, 20 = -s - 3*s. Find the second derivative of 0*i - i + 6*i - 6*i**v wrt i.
-120*i**3
Let g(l) be the first derivative of -l**6/6 + l**5/5 + 7*l**2/2 + 3*l + 60. What is the second derivative of g(k) wrt k?
-20*k**3 + 12*k**2
Let x = -60 + 155. Let v = 225 - x. What is the third derivative of 10*o**2 + 9*o**4 + 130*o - v*o wrt o?
216*o
Let i(j) = -9*j + 21. Let g(s) = 9*s - 22. Suppose 17 = 3*c - 1. Let m(f) = c*g(f) + 5*i(f). What is the first derivative of m(w) wrt w?
9
Find the first derivative of -525 - 220885*x + 221186*x - 192 wrt x.
301
Let w(z) be the third derivative of z**5/5 + z**4/24 + 29*z**3/3 + 59*z**2. Differentiate w(o) wrt o.
24*o + 1
Find the second derivative of -67 + 101 - 2*a**3 - a + 4*a**3 - 128*a**2 wrt a.
12*a - 256
Let q(j) be the second derivative of 313*j**8/56 + j**5/10 + 155*j**4/12 - 119*j. Find the third derivative of q(y) wrt y.
37560*y**3 + 12
Find the third derivative of -1030*w**2 - 24*w**6 + 499*w**2 - 7*w**6 + 499*w**2 wrt w.
-3720*w**3
Let h(j) = -j + 1. Let o(y) be the first derivative of 4/3*y**3 + 7*y - 5/2*y**2 - 5. Let c(l) = -5*h(l) + o(l). Differentiate c(s) wrt s.
8*s
Let f(t) = -126*t**3 + 2*t**2 - 103*t. Let p(d) = 376*d**3 - 7*d**2 + 310*d. Let r(m) = -7*f(m) - 2*p(m). Find the second derivative of r(h) wrt h.
780*h
Suppose -6*s + 0 = -24. What is the second derivative of -s*f**4 + 14*f**3 + 13*f - 11*f**4 - 14*f**3 wrt f?
-180*f**2
Let c(k) = 57*k**2 - 185*k. Let d(s) = -54*s**2 + 184*s. Let g(o) = 2*c(o) + 3*d(o). Find the second derivative of g(q) wrt q.
-96
Let b(c) be the first derivative of 23*c**5/20 + 4*c**2 + 15*c + 25. Let p(n) be the first derivative of b(n). What is the derivative of p(x) wrt x?
69*x**2
Let f = -5 + 20. Differentiate f*x**3 - 4*x**3 + 11 + 0*x**3 with respect to x.
33*x**2
Find the third derivative of -54*j**5 - 15*j**2 + 495*j - 53*j**2 - 495*j wrt j.
-3240*j**2
Let r(t) be the first derivative of t**6/3 - 7*t**4/4 + 4*t**2 + 4*t - 45. What is the second derivative of r(w) wrt w?
40*w**3 - 42*w
Let c be -1 + 4 + -3 + 3. Find the first derivative of 15*b**3 + 5 + 6 - 23*b**c wrt b.
-24*b**2
Let m(v) = -4*v**3 - 86*v**2 + 162. Let d(l) = 9*l**3 + 170*l**2 - 322. Let j(w) = 2*d(w) + 5*m(w). What is the derivative of j(o) wrt o?
-6*o**2 - 180*o
Let u(d) = -212*d + 115. Let z(g) = -423*g + 233. Let w(l) = 9*u(l) - 4*z(l). What is the derivative of w(y) wrt y?
-216
What is the third derivative of -47*g**2 - 158*g**3 - 19*g**2 - 46*g**2 + 32*g**2 wrt g?
-948
Let r(f) = -2*f + 6. Let a(l) = l + 1. Let o(b) = a(b) + r(b). Let v be o(3). Find the third derivative of 7*y**6 - v*y**6 - 4*y**6 + 2*y**2 wrt y.
-120*y**3
Let c(f) be the third derivative of -35/6*f**3 + 0 + 44*f**2 + 0*f**4 + 31/60*f**5 + 0*f. What is the first derivative of c(h) wrt h?
62*h
Differentiate 37 - 59*r - 28 + 52 wrt r.
-59
Let m(r) be the third derivative of -13*r**9/504 + r**8/336 - 41*r**5/15 + r**3/3 + 37*r**2 - 2. Find the third derivative of m(v) wrt v.
-1560*v**3 + 60*v**2
Let r(i) be the second derivative of 0 + 0*i**5 - 10*i**2 + 19*i + 0*i**4 - 1/2*i**6 + 0*i**3. Differentiate r(o) with respect to o.
-60*o**3
Let m(k) = 375*k**3 + 386*k**2 + 3*k + 