243
Let c(l) be the first derivative of 11*l**7/42 - 3*l**3/2 + 20*l + 7. Let y(j) be the first derivative of c(j). What is the second derivative of y(q) wrt q?
220*q**3
Suppose 3*v + 4 = 10. Suppose 6 = 3*c - 4*j - 11, v*j - 8 = -4*c. Find the second derivative of c*m**3 + 75*m**4 - 3*m**3 - 78*m**4 + m wrt m.
-36*m**2
Suppose -2*a = 2*b - 8, 0 = -5*a + 5*b - 0*b. Find the third derivative of -a*x**2 + 19*x**2 + 2*x**6 + 0*x**6 - 6*x**2 wrt x.
240*x**3
Let n(k) = -2 + 8*k - 2*k - k - 2*k. Let f be n(2). What is the derivative of -4*r**4 + 3 + 7*r**f + 0 + 2 wrt r?
12*r**3
Let t(q) be the third derivative of -59*q**8/168 + 43*q**5/20 + 262*q**2. Find the third derivative of t(i) wrt i.
-7080*i**2
Let w(t) = -9*t**4 + t**3 - t**2. Let x(s) = s**3 + 0*s**3 + 23*s**2 + s**4 - 23*s**2. Let y(k) = -w(k) + x(k). What is the third derivative of y(l) wrt l?
240*l
Let k(h) be the first derivative of -19*h**5/30 + 9*h**3/2 + 6*h**2 + 9. Let g(a) be the second derivative of k(a). Differentiate g(b) wrt b.
-76*b
Let b = -5 + 5. Let q(r) be the third derivative of 0 + 0*r**4 + 1/15*r**5 + 0*r + b*r**3 + 1/24*r**6 - 9*r**2. Find the third derivative of q(g) wrt g.
30
Let b = 7 + -3. Suppose 51 = -23*v + 143. What is the third derivative of b*j**2 - 4*j**5 + v*j - 2*j - 2*j wrt j?
-240*j**2
Let z(r) = r**2 + 8*r + 12. Let y be z(-5). Let f(t) = -t + 1. Let b be f(y). What is the third derivative of -38*a**6 - b*a**2 + 43*a**6 + a**2 wrt a?
600*a**3
Suppose 3 = 3*p - 9. Suppose -3*f - f - p = -4*n, 0 = f + 4*n - 24. Find the second derivative of f*g**2 + g**2 + 3*g + 0*g**2 wrt g.
10
Let q(d) = 249*d**3 - 5*d**2 + 57*d - 6. Let h(j) = -124*j**3 + 2*j**2 - 29*j + 2. Let g(b) = -5*h(b) - 2*q(b). Find the second derivative of g(i) wrt i.
732*i
Let g(j) = j**2 + 12. Suppose -3*c - 14 = -5*c. Let b(z) = 3*z**2 + 37. Let l = 57 + -59. Let q(k) = c*g(k) + l*b(k). Differentiate q(n) wrt n.
2*n
Let q(v) = -11*v - 1. Let k be q(1). Let p be (k/10)/(30/(-100)). What is the second derivative of -8*s + s**2 + 2*s**4 - s**p - s**2 wrt s?
12*s**2
Let y(i) = i**4 - i - 1. Let o(p) = -4*p**4 + 68*p**3 - 2*p**2 - 33*p + 6. Let b(h) = o(h) + 6*y(h). What is the third derivative of b(u) wrt u?
48*u + 408
Find the second derivative of 993*v + 29*v**5 - 2*v**3 + 2*v**3 - 1117*v wrt v.
580*v**3
Let k(n) = 15*n**4 + 4*n**3 + 74*n + 17. Let y(w) = 5*w**4 + w**3 + 24*w + 6. Let r(g) = -6*k(g) + 17*y(g). What is the second derivative of r(t) wrt t?
-60*t**2 - 42*t
Let g(p) = -14*p**4 + 11*p**3 + 16*p**2 + 3. Let b(q) = -q**4. Let m(f) = -6*b(f) + g(f). What is the third derivative of m(y) wrt y?
-192*y + 66
Let g(d) = 7*d - 196. Let h be g(28). Let w(m) be the first derivative of m**5 + 0*m**4 + 0*m**3 + h*m + 5 - 5/2*m**2. Find the second derivative of w(l) wrt l.
60*l**2
Let n(g) be the first derivative of -g**6/5 - 31*g**3/6 + 9*g + 43. Let o(q) be the first derivative of n(q). Find the second derivative of o(p) wrt p.
-72*p**2
Let z = 13 + -18. Let w = z + 7. Differentiate h - 4 + 4*h + w*h with respect to h.
7
Let q be 4 - (6 + -4 - 3). Find the third derivative of -8*s**q + s**5 - 20*s**5 + 43*s**2 - 16*s**2 wrt s.
-1620*s**2
Let j(v) be the third derivative of -61*v**9/252 - v**5/30 + 99*v**4/8 + 69*v**2. What is the third derivative of j(n) wrt n?
-14640*n**3
Suppose d = 10*d - 45. Find the second derivative of 8*l + l + 3*l + d*l**5 wrt l.
100*l**3
Differentiate 102 - 514 + 2*q**2 + 301*q - 305 - 401*q wrt q.
4*q - 100
What is the third derivative of 25*f**2 + 17*f**3 + 2*f**3 + 9*f**5 + 2*f**6 - 19*f**3 wrt f?
240*f**3 + 540*f**2
Let h be (-4)/(-3)*3*3/6. Differentiate -39 - l**2 + 4 - 9*l**h with respect to l.
-20*l
Suppose g + 6*p - 55 = p, -20 = -5*p. Let h be 6/14 + 370/g. What is the second derivative of h*d**5 + 2*d + d + 2*d - 5*d**5 wrt d?
120*d**3
Let x(m) be the first derivative of m**8/1680 + m**6/120 - 3*m**3 - 5. Let u(n) be the third derivative of x(n). What is the third derivative of u(h) wrt h?
24*h
Let h(d) be the third derivative of -19*d**7/210 + d**6/120 - 4*d**5/15 - 2*d**2 + 2. Find the third derivative of h(z) wrt z.
-456*z + 6
Let d(n) be the third derivative of -n**5/2 + 3*n**4/8 + 63*n**2. Find the second derivative of d(l) wrt l.
-60
Let r be -1*(3 + 0/(-4)). Let m(t) = -t**3 - 3*t**2 + 2. Let w be m(r). Differentiate 5*g - 5*g - w + 7*g - 5 with respect to g.
7
Let d(q) be the third derivative of q**7/15 - 5*q**4/12 - 2*q**3/3 - 2*q**2 - 12. What is the second derivative of d(u) wrt u?
168*u**2
What is the third derivative of y**3 - 331*y**2 + 440*y**2 + y + 75*y**4 - y wrt y?
1800*y + 6
Let d(o) be the first derivative of -15*o**6 - 632*o**3/3 - 244. What is the third derivative of d(f) wrt f?
-5400*f**2
Suppose -5*h + 5*z = -7 - 18, -h - 2*z = 1. Find the second derivative of -3*d + 5*d + 6*d**h - d**3 wrt d.
30*d
Suppose 3*r = -2*r + 10. Suppose -3*d = 3*d - 18. Find the second derivative of 8*m + 2*m**d + 0*m**3 - r*m wrt m.
12*m
Suppose -6*l + 18 + 0 = 0. Let w(k) = -k**2 + 3*k + 3. Let h be w(l). Differentiate 3 + h*a + 3 - 4*a - 3*a wrt a.
-4
Suppose 0 = -144*v + 137*v. Let m(j) = j. Let c be m(5). What is the third derivative of -c*l**2 + v*l**2 + 3*l**2 - 7*l**2 + 6*l**3 wrt l?
36
Let y(c) be the second derivative of -379*c**6/30 - c**5/10 + 106*c**2 - 654*c. Differentiate y(u) wrt u.
-1516*u**3 - 6*u**2
Let v be (-1 + 1)*9/(-27). Let b(g) be the second derivative of v + 0*g**2 - g + 1/3*g**3 - 1/3*g**4. What is the second derivative of b(o) wrt o?
-8
Find the second derivative of 101*h**2 + 307*h + 30*h**2 - 154*h**2 wrt h.
-46
Let m(t) be the first derivative of 25*t**4 + 31*t**3/3 - 2*t - 22. Find the third derivative of m(r) wrt r.
600
Let y(f) be the first derivative of 0*f - 5/3*f**3 + 7/2*f**2 - 5. Find the second derivative of y(u) wrt u.
-10
Let z be 3 - (9*-2 + 1). What is the derivative of z*r**2 + 95*r + 20 + 5 - 95*r wrt r?
40*r
Let z be (8 + -11)/(((-9)/(-2))/(-3)). Find the third derivative of 48*b - 25*b - 23*b - 15*b**4 + 31*b**z wrt b.
-360*b
Let p(a) be the third derivative of -105*a**4/8 - 65*a**3 - 33*a**2 + 6*a. Differentiate p(s) wrt s.
-315
What is the third derivative of -42*i**2 - 25*i**3 + 37*i**2 + 224*i**3 - 15*i wrt i?
1194
Let j(w) be the first derivative of 3*w**7/56 - w**6/360 + 47*w**3/3 + 18. Let f(m) be the third derivative of j(m). Find the third derivative of f(d) wrt d.
270
Let i(p) = 35*p**4 - 11*p**2 + 713*p - 4. Let x(r) = 69*r**4 - 21*r**2 + 1427*r - 7. Let k(l) = -7*i(l) + 4*x(l). Find the second derivative of k(b) wrt b.
372*b**2 - 14
What is the derivative of -13*a**2 + 178 + 289 - 2*a - 30*a**2 - 7*a**2 wrt a?
-100*a - 2
Let y(g) = 87*g**3 + 38*g**2 + 8*g + 4. Let d(c) = 2*c**3 + c**2 - 2*c - 1. Let p(l) = 4*d(l) + y(l). Find the third derivative of p(k) wrt k.
570
Let u(w) be the first derivative of -367*w**5/5 - 328*w**3/3 - 144. Find the third derivative of u(i) wrt i.
-8808*i
Let y(u) be the first derivative of 0*u**4 + 0*u + 10/3*u**3 + 0*u**5 + 0*u**2 - 10 + 2*u**6. Find the third derivative of y(n) wrt n.
720*n**2
Let h(u) be the second derivative of -25*u**5/2 + 237*u**2/2 - 227*u. Differentiate h(l) wrt l.
-750*l**2
Differentiate 20*i + 16*i - 140 - 13*i + i**2 + 7*i with respect to i.
2*i + 30
Find the second derivative of 136*n - 2 + 6*n**2 - 21*n**2 - 127*n - 3 wrt n.
-30
Let l(n) be the second derivative of -107*n**3/6 + 42*n**2 - 294*n. Differentiate l(c) wrt c.
-107
Let a(r) be the first derivative of -8 + 0*r**3 + 0*r + 13/4*r**4 - 15*r**2. What is the second derivative of a(w) wrt w?
78*w
Let k(b) = 4*b**4 + 3*b**3 - 3*b + 14. Let r(h) = 13*h**4 + 25 - 8*h - 15 + 8*h**3 + 0*h + 32. Let o(p) = 8*k(p) - 3*r(p). What is the derivative of o(d) wrt d?
-28*d**3
Let s = 366 - 363. Let u(m) be the first derivative of 0*m**s - 4 + 0*m**2 - 8*m + 3/2*m**4. What is the derivative of u(w) wrt w?
18*w**2
Let n(r) = -r**3 + 4*r**2 + 1. Let c(f) = 2*f**3 + 18*f**2 + 15. Let u(g) = -c(g) + 5*n(g). What is the first derivative of u(b) wrt b?
-21*b**2 + 4*b
What is the second derivative of -27*n**4 - 29*n**4 - 80*n + 86*n**4 - 24*n**3 - 2 - 29*n**4 wrt n?
12*n**2 - 144*n
Suppose -5*s + 108 = -42. Find the first derivative of 37*w - 28*w**2 - s + 43*w - 80*w wrt w.
-56*w
Let s(j) be the thi