(v) wrt v.
-234*v
Let y(i) be the second derivative of 69*i**5/5 - 71*i**3/3 + 297*i. Find the second derivative of y(w) wrt w.
1656*w
Suppose -65*y = -63*y - 4. What is the third derivative of -56*w**6 + 39*w**6 - 39*w**2 + 10*w**y wrt w?
-2040*w**3
Let g(d) = -2*d + 3. Let c be g(3). Let o = -1 - c. Find the second derivative of -o*a**2 - 3*a - 5*a**3 + 2*a**2 wrt a.
-30*a
Let g(t) be the third derivative of 0*t**3 + 0 + 0*t**5 + 6/35*t**7 + 0*t**6 - 37/24*t**4 - 49*t**2 + 0*t. What is the second derivative of g(b) wrt b?
432*b**2
Let d(n) be the third derivative of 3*n**6/5 + 200*n**3/3 - 97*n**2. Find the first derivative of d(r) wrt r.
216*r**2
Let g(d) = -95*d**3 - 8*d**2 - 2*d - 148. Let s(z) = z**3 + 4*z**2 + z + 1. Let t(j) = g(j) + 2*s(j). What is the derivative of t(v) wrt v?
-279*v**2
Find the third derivative of -66*p**5 - 6 + 1 + 32*p**2 + 213*p**5 - 81*p**5 wrt p.
3960*p**2
Suppose -m = -4*m + 2*s - 5, -4*m = -s. What is the derivative of -37*y**3 + 25*y**3 - 10 + m wrt y?
-36*y**2
Let h(g) be the second derivative of 14*g**3 - 15*g**2/2 + g - 1. Find the first derivative of h(b) wrt b.
84
Let v(d) = 26*d + 62. Let j(n) = 53*n + 124. Let z(k) = -6*j(k) + 11*v(k). Find the first derivative of z(l) wrt l.
-32
Let o(u) be the third derivative of 1/30*u**5 + 0 + 7/40*u**6 + 0*u + 3/2*u**3 + 0*u**4 - 8*u**2. What is the third derivative of o(b) wrt b?
126
What is the first derivative of 25*u**2 - 466 + 487 + 40*u**2 wrt u?
130*u
Let u = 43 - 35. What is the second derivative of -j - 4*j**3 - u*j**3 + 11*j + 8*j wrt j?
-72*j
Let w(j) be the first derivative of 4*j**5/15 - j**3 + 18*j**2 + 21. Let s(b) be the second derivative of w(b). Find the first derivative of s(x) wrt x.
32*x
Let n be 2/(-3)*9/6*-13. Find the third derivative of 8*b**5 + 2*b**2 - n*b**5 + 14*b**5 wrt b.
540*b**2
Let a(r) be the second derivative of 23*r + 5/4*r**4 + 0*r**2 + 0*r**5 - r**6 + 0 + 0*r**3. Find the third derivative of a(c) wrt c.
-720*c
Let t(z) be the first derivative of -11*z**5/5 + 6*z**2 - 215*z + 221. What is the first derivative of t(k) wrt k?
-44*k**3 + 12
Let c(z) = 59*z**3 - z**2 - 78*z. Let f(d) = -234*d**3 + 5*d**2 + 314*d + 1. Let n(h) = 9*c(h) + 2*f(h). What is the second derivative of n(a) wrt a?
378*a + 2
What is the first derivative of -29*f**2 + 33 + 14*f**4 - 177 - 15*f**4 - 5*f**2 + 5*f**2 wrt f?
-4*f**3 - 58*f
Let m(z) = -78*z**3 - 5*z**2 - 10*z + 1. Let b(o) = 2*o - 1. Let f(g) = -5*b(g) - m(g). What is the third derivative of f(h) wrt h?
468
Let g(w) be the second derivative of 59*w**6/15 + 61*w**2 - 138*w. Differentiate g(a) wrt a.
472*a**3
Suppose 3*q - 4*q = -3. Suppose -2*c + 4 + 2 = 0. Find the first derivative of 5 - 2*b**q - 2 - 2*b**c wrt b.
-12*b**2
Let g(j) be the second derivative of -j**7/3 + j**5/20 - j**4/12 - j + 6. What is the third derivative of g(p) wrt p?
-840*p**2 + 6
Suppose -2*c + 6 = -b, -4*b - 6 = -5*b - 2*c. What is the first derivative of -p - 7 + 2*p + 7*p + b wrt p?
8
Suppose 7*f = 8*f. What is the third derivative of f*w**3 + 0*w**2 + 0*w**3 - 15*w**2 - 8*w**3 wrt w?
-48
Suppose 0 = -3*q + 3*x + 5 + 1, q + 3*x = 18. Let t(d) = d - 2. Let j be t(q). Find the first derivative of -2*k**j - 2 - 1 + 2*k**4 + 4*k**4 wrt k.
16*k**3
Find the second derivative of -3210*u**5 + 2291*u**5 + u**2 + 140*u - u**2 wrt u.
-18380*u**3
What is the third derivative of -189*n**2 - 492*n**6 - 55*n**2 - 93*n**2 - 193*n**2 wrt n?
-59040*n**3
Let l(m) = 2*m**4 + 21*m**3 - m**2 - 165*m - 1. Let i(t) = -t**2 + 1. Let k(q) = i(q) + l(q). What is the third derivative of k(n) wrt n?
48*n + 126
Let k = -22 + 25. Find the third derivative of 0*h**3 + 15*h**k - 2*h**3 + 16*h**2 wrt h.
78
Suppose 4*k - 4*y - 4 = 0, -4*y = 4*k - 2*y - 4. Differentiate -k + 0*w + 0*w + 7*w**4 - 6 wrt w.
28*w**3
Let m(j) be the first derivative of 3/8*j**4 + 1/3*j**3 + 0*j + 9 - 4*j**2. Let h(u) be the second derivative of m(u). Differentiate h(x) with respect to x.
9
Let h(u) = -10*u + 17*u - 3 + 32*u**2 - 13*u**2 - 4. Let q(b) = -9*b**2 - 3*b + 4. Let l(v) = -3*h(v) - 7*q(v). What is the derivative of l(a) wrt a?
12*a
Let k(d) = -d**2 - 10*d. Let q be k(-9). Find the first derivative of -8*w**4 - 1 - 8 + q*w**4 wrt w.
4*w**3
Let x(d) = d**3 - 6*d**2 + 2. Let q be x(6). Suppose -3*v + 4 = -q*v. What is the first derivative of -2*i**3 + 8*i**4 + i**v + 2*i**3 - 9 wrt i?
36*i**3
Let w = -14 - -17. Find the third derivative of 5*n**3 + 2*n**2 + 4*n**w + n**2 wrt n.
54
Let d(z) be the third derivative of -3*z**8/28 - z**5/30 - 19*z**4/8 - 3*z**2 + 13*z. What is the second derivative of d(u) wrt u?
-720*u**3 - 4
Let y(n) be the third derivative of -37*n**6/120 + n**5/60 - 29*n**4/3 + n**2 - 43*n. What is the second derivative of y(f) wrt f?
-222*f + 2
Suppose 4*v = 8*v. Suppose -5*x + 7 + 8 = v. Differentiate -15*p + 10*p + x + 2 - 3 with respect to p.
-5
Suppose 3*m + 7 = -4*h + 23, 2 = m - 2*h. Suppose 2*l - 4*w = -3*l + 32, 0 = -m*l - 3*w + 7. Find the first derivative of -z**2 - l - 3*z**3 + 1 + z**2 wrt z.
-9*z**2
Let d(y) be the second derivative of 29*y**7/21 - 5*y**3/6 - 7*y**2 + 50*y - 1. Find the second derivative of d(a) wrt a.
1160*a**3
Suppose -2*h + 4*h - 14 = 0. Let o(d) = d - 5. Let v be o(h). What is the second derivative of v*y - 8*y**4 - 2*y + 6*y + 2*y**4 wrt y?
-72*y**2
Suppose 0 = 83*v - 78*v - 45. Find the third derivative of 2*g**5 + 28*g**5 - 5*g**5 + v*g**2 wrt g.
1500*g**2
Find the third derivative of -22 - w**2 + 30 + 22*w**3 - 2*w**5 - 67 wrt w.
-120*w**2 + 132
Let r(p) be the second derivative of -5*p**7/21 + 9*p**5/20 - 8*p**4 - p**3/6 + 289*p. Find the third derivative of r(h) wrt h.
-600*h**2 + 54
Let w(v) = -50*v**4 + 2*v**2 + 5*v + 27. Let d(c) = -75*c**4 + 3*c**2 + 7*c + 41. Let p(n) = -5*d(n) + 7*w(n). Find the third derivative of p(y) wrt y.
600*y
Let g(f) be the third derivative of 13/60*f**5 + 3/40*f**6 + 0*f + 0*f**4 - 8*f**2 + 0 + 0*f**3. Find the third derivative of g(r) wrt r.
54
Suppose 9*b - 6 - 12 = 0. Find the third derivative of 363*k**4 + 3*k - 3*k - 372*k**4 + 11*k**b wrt k.
-216*k
What is the second derivative of -2*x**4 + 3*x**4 - 8*x**2 + 19*x**2 - 3 + 16*x wrt x?
12*x**2 + 22
Let n(d) be the first derivative of 0*d + 0*d**2 - 13/3*d**3 - 13 - 2*d**4. Find the third derivative of n(t) wrt t.
-48
Suppose 0 = -3*c, 2*c - c + 5 = u. Suppose 3*s - u*s = -4. What is the derivative of 0*a**2 - 6*a**s + a**2 - 1 wrt a?
-10*a
What is the third derivative of 0*m - 2990*m**3 + 3007*m**3 - 92*m**2 + 0*m wrt m?
102
Differentiate -2*r + 19912*r**3 - 20129*r**3 + 2*r - 72 wrt r.
-651*r**2
Let b(z) = 9*z**3 + 63*z**2 - 17*z - 11. Let d(s) = -2*s**3 - s**2 + 4*s + 1. Let n(w) = b(w) + 6*d(w). Find the second derivative of n(l) wrt l.
-18*l + 114
Let b(t) be the third derivative of 7/24*t**4 + 0*t - 17/6*t**3 - 27*t**2 + 0. What is the first derivative of b(g) wrt g?
7
Suppose 2*q + 0 = 5*h + 85, 2*h = 4*q - 130. What is the second derivative of -q*k**4 + 2993*k - 3005*k + 5*k**4 wrt k?
-300*k**2
Let y(x) be the second derivative of 0*x**4 + 0 - 6*x - 1/5*x**5 + 0*x**3 + 7/2*x**2. Differentiate y(i) with respect to i.
-12*i**2
Suppose 5 - 7 = -s. Suppose -3*w + b + b + 14 = 0, -2*w + s*b = -6. Find the second derivative of -10*p**5 + w*p**5 - 2*p + 0*p wrt p.
-40*p**3
Let h(v) = -18*v**3 - 4*v**2 + 6*v + 2. Let b(r) = -19*r**3 - 3*r**2 + 5*r + 2. Let y(l) = -6*b(l) + 5*h(l). Find the first derivative of y(d) wrt d.
72*d**2 - 4*d
Let g(a) be the second derivative of a**7/42 - a**6/6 + 797*a**4/12 + 521*a. What is the third derivative of g(q) wrt q?
60*q**2 - 120*q
Let c(r) be the first derivative of r**7/7 - 173*r**4 - 282*r**3 + 750. What is the third derivative of c(d) wrt d?
120*d**3 - 4152
Let r(n) be the first derivative of -3*n**8/56 + 5*n**4/3 - 21*n + 8. Let f(d) be the first derivative of r(d). What is the third derivative of f(x) wrt x?
-360*x**3
Suppose 0 = -v + 3*v + 36. Let x = -11 - v. Differentiate 2 + 0 + 6 - x*d**3 - 1 wrt d.
-21*d**2
Let v = 64 + -62. What is the second derivative of 12*z**2 - 10*z + 5*z**2 - 11*z**v wrt z?
12
Let n(c) be the second derivative of c**10/2160 + c**6/45 + 3*c**4/4 - 16*c. Let w(k) be the third derivative of n(k). Find the second derivative of w(m) wrt m.
280*m**3
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