- 8. Let c(j) = d*w(j) - 5*n(j). What is the second derivative of c(v) wrt v?
50
Suppose 15*i = -6*i + 231. What is the second derivative of -5*g + 5*g**2 - 7*g**2 + g**2 + 4 + 5 - i*g**5 wrt g?
-220*g**3 - 2
Let h(w) = -w - 3. Suppose -8*m - 4*b + 8 = -4*m, 5*m - 10 = 4*b. Let z(a) = -a + 0 - m + 1. Let g(d) = h(d) - 6*z(d). What is the derivative of g(n) wrt n?
5
Find the third derivative of -30*c**5 + 9*c**6 + 64*c**3 - c**2 - 8*c**6 - 25 - 64*c**3 wrt c.
120*c**3 - 1800*c**2
Let b(z) be the first derivative of 69*z**2/2 - 121*z - 142. Find the first derivative of b(p) wrt p.
69
What is the second derivative of -30 + 92*a**3 + 203*a + 93 - 36 - 27 wrt a?
552*a
Suppose -3*j + 10 = -2*j. What is the first derivative of 2*o**4 - j*o**4 - 9 - 1 - 15*o**4 wrt o?
-92*o**3
Let a(z) be the first derivative of z**5/5 - 208*z**3/3 + 169*z - 234. Differentiate a(o) wrt o.
4*o**3 - 416*o
Let w(r) be the first derivative of -r**6/6 + 6*r**5/5 - r**2 - 74. What is the second derivative of w(z) wrt z?
-20*z**3 + 72*z**2
Find the third derivative of -387*y**3 + 284*y**2 - 1038*y**2 - 345*y**3 wrt y.
-4392
Let w(z) = -4*z + 17. Let a be w(0). Differentiate -7 - 10 - 20 + a + 7*q wrt q.
7
Let x(p) be the third derivative of 0*p + 1/105*p**7 + 0 - 3/2*p**3 + 0*p**4 + 0*p**5 - 14*p**2 + 0*p**6. What is the first derivative of x(o) wrt o?
8*o**3
Suppose 0 = 5*x + 5*n - 40, -2 = -0*x + x - n. Find the second derivative of l**5 + 19*l - x*l**5 - 2*l**5 wrt l.
-80*l**3
Let x be -3 + 1 + (2 - -1). Suppose -x - 49 = -2*d. Differentiate -1 + d*a**4 - 3*a**3 + 3*a**3 - 27*a**4 wrt a.
-8*a**3
Let w(l) = 4*l**2 + 3*l + 3. Let k be w(-2). What is the third derivative of 20*r**2 + 19*r**5 - 46*r**2 + k*r**5 - 12*r**5 wrt r?
1200*r**2
Let z(m) be the first derivative of -m**6/2 - 3*m**4 - 17*m**3/3 + 3*m + 253. What is the third derivative of z(y) wrt y?
-180*y**2 - 72
Let w(h) = -3*h - 10 + 2*h + 6 - h**3 + 3. Let a(r) = 2*r**3 + 5*r - 6. Let t(q) = a(q) - 6*w(q). Find the second derivative of t(u) wrt u.
48*u
Let n(o) = -o. Suppose 22 + 13 = -5*v. Let i be n(v). What is the second derivative of m**3 + i*m**3 + 17*m - 13*m wrt m?
48*m
Let h(i) be the first derivative of -i**5 + 7*i**2 - 4*i - 129. What is the second derivative of h(b) wrt b?
-60*b**2
Let a(w) = 123*w**4 + 3*w**3 - 3*w**2 - 62*w. Let o(u) = -u**4 - u**3 + u**2. Let h(m) = -a(m) - 3*o(m). What is the second derivative of h(n) wrt n?
-1440*n**2
Let w(d) be the third derivative of 1/2*d**3 + 0*d**5 + 0*d + 0 + 0*d**4 - 2/15*d**6 + 39*d**2. Differentiate w(g) with respect to g.
-48*g**2
Let v = -16 + 19. Suppose -v*s + 23 = -61. Find the second derivative of -32*j**2 + s*j**2 - j + 8*j wrt j.
-8
Let w(c) be the third derivative of 0*c + 17*c**2 + 0 + 4/3*c**3 + 5/4*c**4. Differentiate w(y) with respect to y.
30
Let i(v) be the first derivative of -v**7/42 + v**6/18 - 4*v**3/3 - 18. Let s(l) be the third derivative of i(l). Find the third derivative of s(p) wrt p.
-120
Let z(x) be the first derivative of -116*x**6/3 - x**4/4 - 70*x**3 - 39. Find the third derivative of z(l) wrt l.
-13920*l**2 - 6
Find the second derivative of 216*w**4 + 38*w + 39*w - 40*w + 73*w wrt w.
2592*w**2
Let q(h) be the first derivative of 4*h**5/5 - 13*h**3 + 216*h - 120. Differentiate q(b) wrt b.
16*b**3 - 78*b
Find the first derivative of -88*p**2 + 76 - 86*p**2 + 174*p**2 + 72*p**3 wrt p.
216*p**2
Let d be (-1 + 2)*-1 + 26. Let j = d - 21. What is the second derivative of 0*u - 2*u**3 + 2*u + 4*u**3 - j*u wrt u?
12*u
Let q be 3/42 - (-4)/(-56). Let d(v) be the first derivative of -1/2*v**4 + q*v**2 + 4*v - 2 + 0*v**3. What is the derivative of d(g) wrt g?
-6*g**2
Let d(p) be the first derivative of -12 - 1/3*p**3 + 0*p**4 + 0*p**2 + 0*p - 2/5*p**5. Find the third derivative of d(z) wrt z.
-48*z
What is the derivative of 2*j**3 + 2*j**3 + 4*j + 2*j - 74 - 14*j + 0*j**3 wrt j?
12*j**2 - 8
Let t(c) be the second derivative of -9/2*c**2 + 0*c**3 + 2/3*c**4 + 0 + 5*c. Find the first derivative of t(r) wrt r.
16*r
Let c(a) be the third derivative of 22*a**5/3 + 257*a**4/24 - a**2 + 151*a. What is the second derivative of c(o) wrt o?
880
Let n = -2784 + 4165. Find the third derivative of -12*b**5 + 13*b**2 - 1381*b**3 + n*b**3 wrt b.
-720*b**2
Let s(d) = d**3 + 6*d - 77. Let q(a) = 7*a - 78. Let u(k) = -3*q(k) + 2*s(k). Find the first derivative of u(x) wrt x.
6*x**2 - 9
Let i(p) = 2*p**3 - p - 1. Let c(n) = -77*n**3 + 4*n + 93. Let r(l) = c(l) + 4*i(l). Differentiate r(y) with respect to y.
-207*y**2
Let w(l) be the second derivative of -l**6/30 - l**5/20 + 215*l**4/12 + 3*l - 54. What is the third derivative of w(d) wrt d?
-24*d - 6
Suppose -1 - 25 = -3*t + x, -5*t = -4*x - 48. Let k(z) = z - 5. Let g be k(t). What is the derivative of -2 - 4*n + 5*n - g*n wrt n?
-2
What is the second derivative of -18*v**5 + 0*v**3 - 5*v**5 - 2 - 3*v**3 - 62*v wrt v?
-460*v**3 - 18*v
Let i = -33 + 47. Find the second derivative of 23*r**2 - 15*r + r**5 - 6*r**2 - 5*r**2 - i*r wrt r.
20*r**3 + 24
Find the second derivative of 66*d + 4*d**5 - 56*d + 241*d + 31*d**5 + 165*d**5 wrt d.
4000*d**3
Suppose t + 0 = 5. What is the first derivative of 14*u**2 + 2*u**2 + 13 - 6*u**2 + t*u**2 wrt u?
30*u
Let r(u) = 0*u + 3*u + 2*u - 4*u. Let i(c) = -25*c**3 - 7*c**2 + 2*c. Let d(z) = -i(z) + 2*r(z). Find the third derivative of d(y) wrt y.
150
Let r(b) be the first derivative of 1 - 6*b + 2*b**2 + 2/3*b**3. Let w(i) be the first derivative of r(i). What is the first derivative of w(x) wrt x?
4
Let u(o) be the third derivative of 239*o**8/168 - o**4/8 - 9*o**3/2 + 335*o**2. What is the second derivative of u(f) wrt f?
9560*f**3
Suppose 0*l - 4*l - 36 = 0. Let n be (-19)/(-4) + l/(-36). What is the second derivative of 96 - 4*b - 96 - 3*b**n wrt b?
-60*b**3
Let o(i) = -i**2 + 9 + 3*i**2 - 2 - 8*i**2. Let u(k) = -k**2. Suppose 4*g - 6 = -a + 8, 4*g - 2*a - 8 = 0. Let y(m) = g*u(m) - o(m). Differentiate y(c) wrt c.
6*c
Let t(n) be the first derivative of 2*n**5/5 - 21*n**4/4 + 4*n**2 + 52. What is the second derivative of t(p) wrt p?
24*p**2 - 126*p
Let q(l) = -2*l + 0*l + 14 + l + 2*l. Let u be q(-12). Find the third derivative of -4*d**2 + 4*d**5 - 11*d**5 + 9*d**u wrt d.
-420*d**2
Let r(k) be the first derivative of 0*k + 10/7*k**7 + 0*k**6 + 14 + 0*k**5 + 5*k**3 + 0*k**2 + 0*k**4. What is the third derivative of r(l) wrt l?
1200*l**3
Let z(n) be the first derivative of -n**7/280 - n**4/8 - 13*n**3/3 - 3. Let l(u) be the third derivative of z(u). What is the first derivative of l(d) wrt d?
-9*d**2
Let f(i) = 78*i**5 + 4*i**4 + 3*i**3 - 208*i. Let t(x) = -2*x**4 - x**3 - x. Let j(d) = -f(d) - 2*t(d). Find the second derivative of j(a) wrt a.
-1560*a**3 - 6*a
Let p be (-22)/(-4) - ((-10)/(-4) + -2). What is the first derivative of p*l**2 - 34 + 28*l**2 + 3*l**2 - 4*l**2 wrt l?
64*l
Find the third derivative of 0*j + 32*j**2 - 42*j**6 + 10*j**2 + 0*j - 142*j**6 wrt j.
-22080*j**3
Let a(w) = -45*w**3 - 71*w + 2. Let y(o) = -o - 1. Let r(l) = -a(l) - 2*y(l). Find the second derivative of r(f) wrt f.
270*f
Let o(r) = 9*r**2 - 8*r. Let v(c) = -10*c**2 + 8*c. Let d be -4*(-9)/24*-2. Let b(m) = d*o(m) - 4*v(m). Find the second derivative of b(w) wrt w.
26
Let p(b) = -137*b**4 - 10*b**3 + 390. Let q(t) = 273*t**4 + 22*t**3 - 779. Let c(j) = 9*p(j) + 4*q(j). Differentiate c(n) wrt n.
-564*n**3 - 6*n**2
Let l(k) = -k**3 - 15*k**2 + 14*k - 21. Let d be l(-16). Differentiate -7 + 9*a**4 + 0 + 0*a**4 - d wrt a.
36*a**3
Let o(w) be the second derivative of -4*w + 0 + 0*w**2 + 5/2*w**3 + 0*w**4 - 23/20*w**5. Find the second derivative of o(t) wrt t.
-138*t
Let d(b) = 2*b**2 - 7*b + 10. Let w be d(3). What is the first derivative of -17*t**3 - 45*t + 45*t - w wrt t?
-51*t**2
Let y(k) be the second derivative of -121*k**6/15 + 2*k**4/3 + 5*k**2 + 224*k. What is the third derivative of y(m) wrt m?
-5808*m
What is the second derivative of 45773*r**3 + 44*r - 29*r**5 - 45773*r**3 + 3*r**2 wrt r?
-580*r**3 + 6
Let k(g) be the first derivative of 27/5*g**5 + 0*g**4 + 0*g**3 - 12*g - 28 + 0*g**2. Differentiate k(a) with respect to a.
108*a**3
Let q be 4/1 + (-20)/(-288)*-57. Let l(i) be the third derivative of 0*i**5 - 8*i**2 - 1/6*i**3 + 0*i + 0*i**4 + 0 - q*i**6. Differentiate l(f) wr