3
Let n(y) be the first derivative of 86*y**7/7 + y**4/4 + y**3/3 + 81. What is the third derivative of n(u) wrt u?
10320*u**3 + 6
What is the first derivative of -32*t**3 + 15 + 27 - 105 - 69 wrt t?
-96*t**2
Let q(j) be the third derivative of -87*j**8/56 + 59*j**5/6 + 307*j**2. Find the third derivative of q(g) wrt g.
-31320*g**2
Let j(b) be the first derivative of 43*b**3/3 - b**2 + 149*b + 22. Differentiate j(s) wrt s.
86*s - 2
Let i(o) be the third derivative of 4*o**5/15 - o**4 + 5*o**3 - 12*o**2. Let p(l) be the first derivative of i(l). What is the first derivative of p(h) wrt h?
32
Let x(b) = 3*b**2 + 2*b - 1 + 3*b - 7*b + 0*b. Let r(q) = -2*q**2 + 3*q. Let h(m) = -2*r(m) - 3*x(m). Differentiate h(v) with respect to v.
-10*v
Let p(w) be the third derivative of -w**7/315 - 9*w**5/40 + w**4/12 + 28*w**2. Let g(o) be the second derivative of p(o). Differentiate g(v) wrt v.
-16*v
Let c(l) be the first derivative of -17*l**3/3 + l**2 - 158*l + 140. What is the first derivative of c(m) wrt m?
-34*m + 2
Let c = -1439 + 2883/2. Let u(x) be the second derivative of -1/2*x**4 - 4*x + 0*x**3 + 0 - c*x**2. Find the first derivative of u(y) wrt y.
-12*y
Let n(h) be the first derivative of -35*h**6/3 + 2*h**3/3 + 3*h**2/2 + 25*h - 749. Find the second derivative of n(w) wrt w.
-1400*w**3 + 4
Let u(d) = -d - 6. Let s be u(-8). What is the third derivative of -12*j**6 + 10*j**2 + 5*j**s - 14*j**2 wrt j?
-1440*j**3
Let f(d) be the first derivative of 26 + 0*d - 10*d**3 + 5/2*d**2. Find the second derivative of f(l) wrt l.
-60
Suppose -3*j + 1088 = o, -4*o = 4*j - 1936 + 480. Find the second derivative of j*m**2 - 2*m - 8*m**5 - 362*m**2 wrt m.
-160*m**3
Let y(r) be the second derivative of -17/20*r**5 - 3*r - 9/2*r**2 + 0*r**4 + 0 + 0*r**3. Differentiate y(z) wrt z.
-51*z**2
What is the second derivative of 778*s**5 - 129 - 5*s + 13253*s**2 - 13253*s**2 + 7*s wrt s?
15560*s**3
Let y(k) = -k**4 - k**3 + 2. Let h(m) = -13*m**4 - 3*m**3 + 44*m**2 - 2*m + 6. Let g(x) = -h(x) + 3*y(x). What is the third derivative of g(u) wrt u?
240*u
Let n(x) be the second derivative of 0*x**5 + 0*x**4 + 19/15*x**6 + 42*x + 29/6*x**3 + 0 + 0*x**2. What is the second derivative of n(z) wrt z?
456*z**2
Let r(d) be the second derivative of -d**6/10 + 3*d**5/10 + 13*d**4/4 + d**2 + 8*d + 1. Find the third derivative of r(i) wrt i.
-72*i + 36
Let m(h) = 28*h**2 - 51*h. Suppose 143 = 14*v - 3*v. Let f(j) = -14*j**2 + 25*j. Let x(l) = v*f(l) + 6*m(l). What is the second derivative of x(s) wrt s?
-28
Let y(c) = 469*c**4 + 6*c**3 + 24*c + 14. Let s(f) = -939*f**4 - 13*f**3 - 49*f - 28. Let j(z) = -6*s(z) - 13*y(z). What is the second derivative of j(i) wrt i?
-5556*i**2
Let o(z) be the second derivative of -563*z**5/20 + 361*z**2 + 2*z - 17. Differentiate o(a) wrt a.
-1689*a**2
Suppose -2*q - 3*a = 11, -12 = 4*q + 4*a - 0. Let o be (2/(-7))/(9/(-63)). What is the third derivative of 6*z**4 - 5*z**2 + z**o - 4*z**4 + 3*z**q wrt z?
48*z
Let k(h) = -h**4 - 5*h**3 + 6*h**2 - 5*h + 1. Let g(n) = -n**4 + n**3 - n**2 + n - 1. Let j(f) = 6*g(f) + k(f). Find the second derivative of j(y) wrt y.
-84*y**2 + 6*y
Suppose 9 = -6*u + 39. Let t be (u - 3)*2/2. Find the third derivative of 6*w**5 - 3*w**5 - 4*w**2 + 3*w**t wrt w.
180*w**2
Let g(w) be the second derivative of 0*w**6 - 15/56*w**8 + 0*w**7 + 0 - 2/3*w**4 + 0*w**3 + 0*w**5 + 0*w**2 - 12*w. What is the third derivative of g(s) wrt s?
-1800*s**3
Let w(t) = -4*t - 2. Let u be w(-1). Suppose n + p - 6 = -0*n, u*n - 15 = -5*p. Find the third derivative of 5*y**2 - 3*y**5 + 3*y**2 + n*y**5 + 7*y**5 wrt y.
540*y**2
Let p(y) = -6*y - 9. Let w be p(-4). Differentiate -51*c - 26*c**2 + w + 51*c wrt c.
-52*c
Let l(y) = 38*y**3 - 42*y**2 + 8. Let o(t) = 8*t**3 - 12*t**3 + 29*t**3 + 5 - 28*t**2. Let u(d) = -5*l(d) + 8*o(d). What is the third derivative of u(v) wrt v?
60
Let x(f) be the second derivative of -11*f**4/6 - 34*f**3/3 + 100*f. What is the second derivative of x(s) wrt s?
-44
Let d(w) be the first derivative of -29*w**5/120 - 5*w**4/6 + 8*w**3/3 + 22. Let b(a) be the third derivative of d(a). Differentiate b(m) wrt m.
-29
Suppose w - 10 = -4*w. Let r(g) = -5 + 2 + 9*g - w*g. Let f(t) = 3*t - 1. Let d(l) = 5*f(l) - 2*r(l). Differentiate d(z) wrt z.
1
Let n(b) be the second derivative of 16*b**6/5 + 641*b**3/6 - b - 324. Find the second derivative of n(h) wrt h.
1152*h**2
Let y(p) = -15*p**3 - 10*p**2 + 6*p - 99. Let v(s) = -13*s**3 - 12*s**2 + 5*s - 100. Let k(h) = 6*v(h) - 5*y(h). Differentiate k(d) wrt d.
-9*d**2 - 44*d
Find the third derivative of 41*m - 17*m - 4 - 33*m**4 + 12*m**2 - 24*m wrt m.
-792*m
Let x(f) = 24*f**2 + 9*f + 27. Let k(u) = -13*u**2 - 4*u - 14. Let n(v) = -9*k(v) - 5*x(v). What is the second derivative of n(j) wrt j?
-6
Let w(u) be the first derivative of 10 + 20*u + 14*u**5 - 11*u**5 + 7. Find the first derivative of w(m) wrt m.
60*m**3
Let v = 13 + -8. Let k = -2 + v. Differentiate d - d + 0 + 2 + k*d**2 with respect to d.
6*d
Let i(d) be the third derivative of -d**8/240 + d**4/4 + d**3/6 + 9*d**2. Let k(v) be the first derivative of i(v). Find the first derivative of k(f) wrt f.
-28*f**3
Suppose -5*l = 5*a - 155, 5*l + 33 = -2*a + 95. What is the second derivative of 44*o**3 - a*o + 21*o - 12*o**3 wrt o?
192*o
What is the second derivative of -905*x + 7 - 2 - 8 + 91*x**2 + 3 wrt x?
182
Let d(f) be the third derivative of -f**6/40 - 11*f**5/60 + f**3/2 - 70*f**2 + f. Differentiate d(w) wrt w.
-9*w**2 - 22*w
Let l(d) be the third derivative of 0*d + 18*d**2 - 11/24*d**4 + 0 - 11/6*d**3. Find the first derivative of l(h) wrt h.
-11
Let v = 31 + -21. Let f be (v + -4 + -2)/1. Find the second derivative of 2*i**3 - 2*i**3 + 32*i - 41*i + f*i**4 wrt i.
48*i**2
Let f be -4*(-78)/120 - 2/(-5). Find the second derivative of c - 118*c**3 + 0*c + 3 + 13 + 65*c**f wrt c.
-318*c
Let x be 40/10 + 19/(-1). Let o be 10/x*6 + 11. What is the third derivative of 20*p**5 - 7*p**2 - o*p**5 - p**2 wrt p?
780*p**2
Let a = -4 + 10. Suppose 0 = -5*q + 2*q + a. Find the third derivative of -x**6 + q*x**2 + 6*x**6 + 0*x**2 + 0*x**6 wrt x.
600*x**3
Let g = -5 + 5. Suppose g*d + 5*z = d - 5, -z - 25 = -5*d. What is the second derivative of -7*y**d + 4*y - 2*y**5 + y + 0*y wrt y?
-180*y**3
Let u(f) be the second derivative of -19/2*f**2 - 5*f + 0 + 5/12*f**4 + 0*f**3. Differentiate u(w) wrt w.
10*w
Let i(k) be the second derivative of 0*k**3 + 3/28*k**8 + 0*k**5 + 0*k**2 + 1/6*k**4 + 14*k + 0*k**6 + 0 + 0*k**7. What is the third derivative of i(p) wrt p?
720*p**3
Let p(h) = h**3 + 4*h**2 + 30*h + 1. Let j(v) = v**3 + 4*v**2 + 30*v + 2. Let c(z) = -3*j(z) + 4*p(z). What is the second derivative of c(q) wrt q?
6*q + 8
Let n(g) = 44*g**2 - 8*g - 4. Let a(y) = -2*y + 6 - 29*y**2 + 7*y + 0*y - 3. Let s(m) = 8*a(m) + 5*n(m). Differentiate s(q) wrt q.
-24*q
Let s(n) be the second derivative of -389*n**6/30 + 807*n**2/2 + 24*n + 1. What is the derivative of s(q) wrt q?
-1556*q**3
Let b be (2/3)/(13/3 + -4). Find the third derivative of i**4 - 19*i**2 + 36*i**b + i**4 wrt i.
48*i
Let s(v) be the second derivative of v**5/10 - v**4/12 - v**3/3 + 2*v**2 + 103*v. What is the second derivative of s(u) wrt u?
12*u - 2
Find the second derivative of 46*s**2 + s**2 + 199*s**5 + 403*s - 48*s**2 wrt s.
3980*s**3 - 2
Let z(d) = -3*d**2 + 6*d - 47. Let u(h) = -4*h**2 + 5*h - 46. Let w(k) = 5*u(k) - 4*z(k). Differentiate w(p) wrt p.
-16*p + 1
Let r(u) be the third derivative of 83*u**7/70 + 159*u**4/8 - 572*u**2. Find the second derivative of r(v) wrt v.
2988*v**2
Let w(r) = -19*r**2 - 205. Let a(i) = -9*i**2 - 104. Let b(d) = -7*a(d) + 4*w(d). What is the derivative of b(g) wrt g?
-26*g
Let s(n) be the first derivative of -5*n**6/6 - n**5/5 + 19*n**3/3 + 3*n - 424. Find the third derivative of s(c) wrt c.
-300*c**2 - 24*c
Differentiate 8*j**2 + 40 - 142*j**2 + 96 wrt j.
-268*j
Let r(m) = -198*m**2 - 6*m - 260. Let o(d) = 198*d**2 + 7*d + 260. Let c(u) = -5*o(u) - 6*r(u). Find the first derivative of c(j) wrt j.
396*j + 1
Let j(g) be the third derivative of -979*g**4/24 - 517*g**3/3 - 11*g**2 + 12*g. What is the derivative of j(x) wrt x?
-979
Let v(q) be the second derivative of -283*q**4/12 + 29*q**3 - 165*q. What is the second derivative of v(j) wrt j?
-