d(z) = -z**3 - 5*z**2 + 3*z + 17. Let j be d(-5). Differentiate 3 + 15 - 13*w**j - w**2 with respect to w.
-28*w
Let x(i) = -114*i**2 + 42*i + 8. Let r(w) = -38*w**2 + 14*w + 3. Suppose h + 2*h = -9. Let k(s) = h*x(s) + 8*r(s). What is the second derivative of k(f) wrt f?
76
Let n(k) = -172*k**3 - 112*k**2. Let t(y) = 58*y**3 + 38*y**2. Let r(v) = -3*n(v) - 8*t(v). What is the third derivative of r(o) wrt o?
312
Let g(x) = -x**4 + x**3 - x**2 - x. Let k(v) = -2*v**4 - v**3 + 8*v**2 + 2*v. Let l(o) = 3*g(o) + k(o). What is the third derivative of l(q) wrt q?
-120*q + 12
What is the third derivative of -284*m**2 + 30*m**2 - 96*m**3 - 358*m**3 - 36*m**3 wrt m?
-2940
Differentiate -104 - 87*v**3 - 8298*v**2 + 8298*v**2 wrt v.
-261*v**2
Let y(l) = 184*l**2 - 9*l - 152. Suppose 0*s + 6 = 3*s. Let z(c) = -46*c**2 + 2*c + 38. Let b(x) = s*y(x) + 9*z(x). What is the first derivative of b(w) wrt w?
-92*w
Differentiate 153 - 268*q + 114 + 54 - 38 with respect to q.
-268
Let h(n) be the first derivative of -6*n + 0*n**2 + 0*n**3 + 19/4*n**4 + 14. Differentiate h(v) wrt v.
57*v**2
Let i be 2/18 - (-588)/54. Suppose -5*w = -39 - i. Find the second derivative of 7*r**3 - 13*r + w*r + 4*r**3 wrt r.
66*r
Suppose 4*f - 5*f = -30. Suppose x = -k + 7, -f = -4*x - 3*k - 2*k. What is the third derivative of -10*b**2 + x*b**2 + 6*b**6 - 4*b**6 wrt b?
240*b**3
Let f = 535 - 528. Let q(w) be the first derivative of -4/3*w**3 + 0*w**2 - 5*w + f. Differentiate q(z) wrt z.
-8*z
Let j(r) = -2*r**4 - 12*r**2 - 13*r + 545. Let z(b) = 6*b**4 + 34*b**2 + 39*b - 1634. Let y(w) = 17*j(w) + 6*z(w). Differentiate y(k) wrt k.
8*k**3 + 13
What is the third derivative of -128*r**4 + 0*r**2 - 15 - 4*r**2 + 18 + 23 wrt r?
-3072*r
Let g(z) be the second derivative of 11*z**5/5 + 5*z**4/12 + 817*z**2/2 + 174*z - 2. What is the derivative of g(a) wrt a?
132*a**2 + 10*a
Find the third derivative of 18 - 101*b**3 - 20*b**2 - 22*b**2 + 38*b**2 wrt b.
-606
Suppose 91 = 3*a + 2*w, 5*a + 5*w = 3*w + 149. Find the second derivative of -a*u**5 + 16*u**4 + 31*u - 16*u**4 wrt u.
-580*u**3
Let f(r) be the third derivative of -37*r**5/20 - r**4/8 - 28*r**3 - r**2 + 269. Find the first derivative of f(w) wrt w.
-222*w - 3
Suppose 3*v = -4*g - 0*v - 40, 0 = -3*g - 4*v - 37. Let y = -5 - g. What is the second derivative of 36 + 5*d**5 - 36 + y*d wrt d?
100*d**3
Suppose -3*b - 6 = -5*s, 6*b - b + 10 = 0. Let x(q) be the third derivative of -5/6*q**3 + 5*q**2 + s*q - 1/12*q**4 + 0. Differentiate x(i) with respect to i.
-2
Let u be 3 + 2 - 2*1. Suppose u*d = d. What is the third derivative of -15*x**2 + 3*x**4 + d*x**4 + 20*x**2 wrt x?
72*x
Suppose 4*c - 36 = -l - 3*l, 0 = -l + 4*c - 6. Suppose -2*q = -3*x, -2*q + l = -x + 2. What is the derivative of 0*d + 1 - x*d - 2 + 0 wrt d?
-2
Let f(u) be the third derivative of u**6/60 - 13*u**5/4 - 335*u**4/12 + 125*u**2. Find the second derivative of f(r) wrt r.
12*r - 390
Let b(m) = -3*m**2 + 53*m + 113. Let l(y) = -y**2 + 2*y + 3. Let r(c) = 3*b(c) - 6*l(c). What is the derivative of r(s) wrt s?
-6*s + 147
Suppose -4*q = q. Let i(t) be the first derivative of -5 + 3/2*t**4 + 0*t + 5/2*t**2 + q*t**3. What is the second derivative of i(j) wrt j?
36*j
Let y(u) = 24*u**3 + 3*u**2 - 12*u - 340. Let w(t) = 47*t**3 + 7*t**2 - 28*t - 679. Let x(s) = -3*w(s) + 7*y(s). Differentiate x(h) with respect to h.
81*h**2
Differentiate -4 + 18 - 49 - 205*t**2 - 87 with respect to t.
-410*t
Let q be (2190/13)/3 + 14/(-91). Find the third derivative of -q*h**2 - 30*h**2 + 29*h**6 - h**6 + 110*h**2 wrt h.
3360*h**3
Let v be (-4 + -1)/((-3)/(18/6)). Find the second derivative of 41*p + 20*p**v + 0 - 1 - 32*p wrt p.
400*p**3
Let b(h) = -16*h**2 - 1142 - 9*h**5 + 1143 - 7*h**5. Let f(z) = -z**2 - 1. Let x(a) = b(a) + f(a). Find the third derivative of x(w) wrt w.
-960*w**2
Let g(j) be the first derivative of 4*j**5/5 + 3*j**4/4 + 143*j**3/3 - j**2/2 + 362. Find the third derivative of g(c) wrt c.
96*c + 18
Let u(d) be the second derivative of -41*d**6/10 + d**4 - d. Find the third derivative of u(y) wrt y.
-2952*y
Let u(v) be the second derivative of -36*v + 0*v**5 + 0*v**2 + 0*v**4 + 0*v**6 + 0 - 11/2*v**3 + 6/7*v**7. What is the second derivative of u(a) wrt a?
720*a**3
Let l be (28/(-10))/(9/(-45)). Suppose -2*c + 0*y = -y - 9, 2*c - 2*y = l. What is the third derivative of z**3 + c*z**3 - 6*z**3 + 3*z**2 wrt z?
-18
Suppose -2*a = 3*a + y - 27, 2*a = -5*y + 20. Differentiate -12*g**3 - 8*g**3 - 20 - a*g**3 + 5*g**3 wrt g.
-60*g**2
Let a(j) = -j**2 + 13*j**2 - 13*j - 3*j**2 - 45*j**3. Let y(b) = -11*b**3 + 2*b**2 - 3*b. Let u(s) = 2*a(s) - 9*y(s). Find the second derivative of u(m) wrt m.
54*m
Let r(p) = -p + 5. Let g be r(1). Differentiate 0 - 2 - 79*w**4 + 83*w**g wrt w.
16*w**3
Let k be (-4)/(-30)*36/24. Let x(p) be the second derivative of 2*p**3 - 11*p + k*p**6 + 0 + 0*p**4 + 0*p**2 + 0*p**5. Find the second derivative of x(z) wrt z.
72*z**2
Let n(a) be the first derivative of -13*a**4/6 - 11*a**3/3 + 9*a + 21. Let m(b) be the first derivative of n(b). What is the second derivative of m(z) wrt z?
-52
Let m(y) be the first derivative of 0*y - 3/4*y**4 + 12 + 0*y**2 - 1/3*y**3. Find the third derivative of m(g) wrt g.
-18
Find the third derivative of -204*j**4 + 58*j**4 + 841*j**2 - 256*j**4 wrt j.
-9648*j
Let s(o) = -76*o - 5. Let t be s(-2). What is the derivative of -156*r**2 + 1 + t*r**2 + 0 wrt r?
-18*r
Let h(r) be the third derivative of 1/3*r**3 + 0*r**6 + 23*r**2 + 0*r + 0*r**5 + 2/15*r**7 + 0 + 19/24*r**4. Find the second derivative of h(b) wrt b.
336*b**2
Differentiate 3159*h - 29*h**4 - 34 - 3159*h - 11*h**4 wrt h.
-160*h**3
Let i = 38 - 35. What is the third derivative of 15*q**2 + 8*q**5 - i*q**5 - 4*q**2 - 18*q**5 wrt q?
-780*q**2
Let v = -2/73 + 369/146. Let i(u) be the second derivative of -5*u - v*u**2 + 0*u**3 + 5/12*u**4 + 0. Differentiate i(t) wrt t.
10*t
Let r be (-4)/38 - 300/(-684). Let l(f) be the first derivative of 2 + 0*f**2 + 0*f + r*f**3 + 0*f**4 + 2/5*f**5. Find the third derivative of l(z) wrt z.
48*z
Suppose 5*j = -4*o + 45, -9*o = -4*o + 3*j - 40. Find the second derivative of 0*v**5 - 2*v**5 + 13*v**o + 3*v + v wrt v.
220*v**3
Let l = 4 - 5. Let n(k) = -2*k**3 + 2*k**2 + 2*k. Let s be n(l). Find the second derivative of -81*o**2 - 8*o - 3*o + 73*o**s wrt o.
-16
Find the second derivative of 5*a + 16*a**3 - 33 + 38*a**3 + 2*a**4 - 7*a + 0 wrt a.
24*a**2 + 324*a
Let v(c) be the first derivative of 10 + 0*c**6 - 7*c**3 + 0*c**2 + 0*c**4 + 0*c**5 - 45/7*c**7 + 0*c. Find the third derivative of v(k) wrt k.
-5400*k**3
Let b = -7 - 13. Let g be (-3)/(-15) + (-76)/b. What is the first derivative of g + 1 - 1 - 4*j + 0*j wrt j?
-4
What is the third derivative of -12*a**4 + 162*a**2 - 237*a**4 + 75*a**4 wrt a?
-4176*a
Let s(x) be the first derivative of -15*x**5 - 24*x**3 + 2*x**2 - 369. Find the third derivative of s(u) wrt u.
-1800*u
Suppose 11 = -5*k + 4*b - 5, 5*b - 20 = -4*k. Let c be (4 + (-4 - -2))/1. What is the second derivative of -7*p**2 + k*p**c + p**2 + 3*p wrt p?
-12
Let y(b) be the first derivative of -78*b**4 - 77*b**2/2 - 2*b + 358. What is the second derivative of y(w) wrt w?
-1872*w
Let k = -69 - -75. What is the second derivative of -5*d - 4*d**4 - k*d + 9*d**4 - 9*d wrt d?
60*d**2
Let i(l) = -13*l - 26. Suppose 2*q - 2*h + 1 = -7, -3*q + 5*h - 16 = 0. Let v(r) = 51*r + 104. Let t(y) = q*v(y) - 9*i(y). What is the derivative of t(u) wrt u?
15
Find the second derivative of 980268*w**3 - 261*w**4 - 980268*w**3 + 626*w wrt w.
-3132*w**2
Find the third derivative of 2720*s**4 - 1418*s**4 - 1512*s**4 - 5*s**2 + 2*s**5 - 5*s**5 - 11 wrt s.
-180*s**2 - 5040*s
Find the third derivative of -23*w**2 - 21*w**5 + 0*w**5 - 44*w**5 - 2*w - 11*w**5 wrt w.
-4560*w**2
Find the third derivative of -121*b**2 - 3*b**5 + 32*b**3 + 11*b**4 - 2*b - 33*b**3 + b**3 wrt b.
-180*b**2 + 264*b
Let d(l) be the second derivative of -3*l**8/56 + 34*l**7/21 + 7*l**4/3 + 13*l**3/6 + 2*l - 3. Find the third derivative of d(p) wrt p.
-360*p**3 + 4080*p**2
Let v = 66 - 67. Let x(q) = q**4 + q. Let w(t) = -8*t**4 + t**3 - t + 46. Let h(z) = v*x(z) - w(z). What is the first derivative of h(i) wrt i?
28*i**3 - 3*i**2
What is the first derivative of -108*p**3 - 113*p**3 -