9*v**3 - 29 + 8*v**3 - 14 + 3*v**2 with respect to v.
81*v**2 - 2*v
Let l(p) be the second derivative of -p**8/28 - 13*p**7/42 + p**4/12 + 17*p**3/6 - p + 8. Find the third derivative of l(r) wrt r.
-240*r**3 - 780*r**2
Let m(k) be the second derivative of k**6/10 - 5*k**5/4 - 2*k**4/3 - 5*k**2/2 + 54*k. What is the third derivative of m(j) wrt j?
72*j - 150
Let v(o) = 7*o + 1. Let f(g) = 241*g**2 + 411*g + 4. Let p(i) = -f(i) + 4*v(i). Find the second derivative of p(n) wrt n.
-482
Let d(h) be the second derivative of -113*h**3/6 + 233*h**2/2 + 248*h. Differentiate d(m) wrt m.
-113
What is the first derivative of 32*y**3 - 46 + 33*y**3 + 56*y**3 + 19*y**3 + 16 wrt y?
420*y**2
Let a(b) = -292*b**4 - 219*b**2 + 3*b - 6. Let r(j) = 290*j**4 + 219*j**2 - 2*j + 4. Let m(y) = -2*a(y) - 3*r(y). Find the third derivative of m(t) wrt t.
-6864*t
Let y = -34 - -48. Let d be (-4)/y - 112/(-49). What is the second derivative of -2*c**2 + c**2 + 3*c**d - 7*c wrt c?
4
Suppose 0 = 2*u + 2*k + 6, -2*u + 5*k - 4 = 2. Let h be u*(1 - (-14)/(-6)). Find the third derivative of 22*l + 3*l**3 - h*l**2 - 22*l wrt l.
18
Let z(u) be the first derivative of -u**5/60 + u**3/6 - 5*u**2/2 + 6. Let c(o) be the second derivative of z(o). Find the first derivative of c(s) wrt s.
-2*s
Suppose -4*y - 2*y + 12 = 0. Find the second derivative of 4*f**2 - 5*f**y + 4*f**2 + 5*f**2 - 5*f wrt f.
16
Let w = -151 - -155. Let z(v) be the first derivative of 5*v - 3 + 0*v**2 + 0*v**3 + 7/4*v**w. What is the derivative of z(k) wrt k?
21*k**2
Let s(u) be the second derivative of 97*u**3/2 + 27*u**2 + 3*u + 3. What is the first derivative of s(y) wrt y?
291
Suppose p + 5*y + 15 = 0, 2*p = -5*y - 5 - 5. Find the second derivative of 271 - 271 - 3*c**p + 8*c wrt c.
-60*c**3
Suppose 2 = 2*c - c. What is the second derivative of -r**2 - r - 6*r**c - 4*r**2 - 10*r**2 wrt r?
-42
Let l(w) be the second derivative of -2/21*w**7 + 11*w + 0*w**2 + 0*w**6 + 0*w**5 - 4/3*w**4 + 0 + 0*w**3. Find the third derivative of l(z) wrt z.
-240*z**2
Let k(z) be the second derivative of 0*z**2 + 0 + 23*z + 3*z**3 - 11/15*z**6 + 0*z**4 + 0*z**5. Find the second derivative of k(r) wrt r.
-264*r**2
Let s(o) be the first derivative of -o**10/210 - o**6/360 + 12*o**3 + 32. Let k(z) be the third derivative of s(z). What is the third derivative of k(u) wrt u?
-2880*u**3
Let n(x) = x**3 + 6*x**2 + 3*x + 9. Let r be n(-6). Let t = r - -11. Find the second derivative of 9*f**3 + t*f**3 - 6*f**3 + f + 6*f**3 wrt f.
66*f
Suppose 0 = 6*i - 153 - 129. What is the second derivative of 41*s**3 - 9*s - 88*s**3 + 36*s**4 + i*s**3 wrt s?
432*s**2
Differentiate 12*z + 319 - 20*z + 112*z**3 + 8*z + 442*z**3 wrt z.
1662*z**2
Let x(c) be the second derivative of c**4/12 - 193*c**3/3 - 212*c**2 - 2*c - 65. Find the first derivative of x(w) wrt w.
2*w - 386
Let w = -15 - -14. Let x be w/(-6) + (-119)/(-42). Find the third derivative of -7*h + 4*h**2 + 4*h**3 + 4*h + x*h wrt h.
24
Find the second derivative of -1670*j - 14 + 829*j + 828*j + 22*j**2 + 3*j**4 wrt j.
36*j**2 + 44
Let x(i) be the third derivative of i**4/12 - 5*i**3/6 - 7*i**2. Let g be x(10). What is the derivative of -4 - 7*p**2 - 8 + g*p**2 wrt p?
16*p
Find the first derivative of 209888*f - 92*f**2 - 57 - 4 - 209891*f wrt f.
-184*f - 3
What is the second derivative of -9*s**5 - 41*s**2 + 6*s**2 + 13*s**2 + 14*s**2 + 1 + 7*s**2 + 4*s wrt s?
-180*s**3 - 2
Suppose 150 = 63*x - 60*x. What is the third derivative of -45*i**2 - 62*i**2 + 124*i**2 - x*i**3 wrt i?
-300
Let c(j) be the third derivative of 361*j**9/504 + j**7/105 + 139*j**5/60 + 13*j**2. Find the third derivative of c(w) wrt w.
43320*w**3 + 48*w
Let f(t) be the first derivative of 142*t**5/5 - 103*t - 2. Find the first derivative of f(i) wrt i.
568*i**3
What is the third derivative of -540*p**6 - p**3 + 582*p**6 + 120*p**4 - 3*p - 120*p**4 + 25*p**2 wrt p?
5040*p**3 - 6
What is the third derivative of 5*h**3 + 2*h**5 + 2*h**5 + 11*h**5 - 405*h + 8*h**5 - 14*h**5 - 2*h**2 wrt h?
540*h**2 + 30
What is the first derivative of -11*s - 4*s**3 - 35 + 7*s**3 - s**3 wrt s?
6*s**2 - 11
Let z be (2/(-5))/((-5)/(-25)). Let v = 6 + z. What is the second derivative of -3*a + a + 4*a**4 - 2*a**v wrt a?
24*a**2
What is the derivative of 67*o + 88 + 4*o - 10 + 42*o wrt o?
113
Let y(l) be the first derivative of 97*l**4/2 + 140*l + 138. Find the first derivative of y(m) wrt m.
582*m**2
Let q be 7/2 - (1 - -2). Let c(i) be the third derivative of -8*i**2 - q*i**3 + 0*i + 0 - 1/10*i**5 + 0*i**4. Find the first derivative of c(k) wrt k.
-12*k
Let l(i) = -35*i**2 - 162. Let f(a) = 106*a**2 + 483. Let n(o) = 6*f(o) + 17*l(o). Differentiate n(j) wrt j.
82*j
Let q be 5 - (-1)/(0 - 1). Let o be 2/4 + 66/q. Find the third derivative of o + 6*c**5 - 17 + 2*c**2 wrt c.
360*c**2
Let g(o) be the third derivative of -o**9/252 + o**6/3 + 3*o**5/20 + 180*o**2. What is the third derivative of g(f) wrt f?
-240*f**3 + 240
What is the derivative of 62*q**2 + 9*q**2 - q**2 + 11*q**2 - 9 wrt q?
162*q
Let f(q) be the second derivative of -13*q**6/3 - 107*q**3/3 + 259*q. What is the second derivative of f(i) wrt i?
-1560*i**2
Let d(l) = -170*l**3 + 60*l**2 - 60*l - 390. Let j(u) = 2*u**3 - u**2 + u. Let k(c) = d(c) + 60*j(c). Differentiate k(q) with respect to q.
-150*q**2
Let j(k) be the second derivative of 79*k**3/3 - 95*k**2 + 124*k. Differentiate j(c) with respect to c.
158
Let a(v) = v - 5. Let j be a(7). Suppose j*r + 3*r = 35. Differentiate 5*q + 0*q - 10*q - r with respect to q.
-5
Find the first derivative of -100 + 304 - 224 - 71*d - 427 wrt d.
-71
Let j(r) be the second derivative of 13*r**6/10 + r**5/10 - 10*r**3 + 73*r. What is the second derivative of j(s) wrt s?
468*s**2 + 12*s
What is the second derivative of 57 + 3 - 59*a**4 + 3 - a + 87*a**4 + 36*a**4 wrt a?
768*a**2
Let i(g) be the first derivative of -74*g**6/3 + g**2 - 328*g - 313. Find the second derivative of i(h) wrt h.
-2960*h**3
Let d = 247 - 493/2. Let a(h) be the second derivative of -d*h**3 + 0 - 1/2*h**2 - 5*h. What is the first derivative of a(i) wrt i?
-3
Suppose 15 = -u + 33. Differentiate u*w**3 - 24 + 34*w**3 - 87*w**3 with respect to w.
-105*w**2
Let w = -7 + 10. Suppose -3*q - 5*c = -10, -w*q - 2*q + 26 = -c. What is the second derivative of 8*z - 4*z + 7*z**5 - 14*z**q wrt z?
-140*z**3
Let g(j) = -9*j**3 - 65*j**2 + 175*j. Let p(d) = 11*d**3 + 65*d**2 - 176*d. Let u(y) = -5*g(y) - 4*p(y). What is the second derivative of u(v) wrt v?
6*v + 130
Suppose 3*g = -g, 0 = 4*a + g - 20. Suppose r - 3 = -d + a*r, 0 = -4*d - 4*r + 12. Differentiate -253 - 2*m**3 - 2*m**d + 257 with respect to m.
-12*m**2
Let k(p) be the second derivative of p**5/10 - 47*p**4/12 - p**3/2 + 4*p**2 - 122*p. Find the second derivative of k(h) wrt h.
12*h - 94
Let b(m) = -m**3 - 22*m**2 - 2*m - 33. Let k be b(-22). Suppose 5*n = 4*n + 11. Find the second derivative of -11*i**2 + k*i**2 + n*i**4 + 7*i wrt i.
132*i**2
Let f(r) be the third derivative of 53*r**6/60 - r**3 + 17*r**2. What is the derivative of f(t) wrt t?
318*t**2
Let x(g) = g**2 - g. Let z(o) = 88*o**2 - 7*o + 24. Let m(k) = -x(k) + z(k). What is the second derivative of m(j) wrt j?
174
Let a(y) be the first derivative of 55*y**2 - 136*y - 115. Differentiate a(b) wrt b.
110
Let m(i) be the second derivative of 32*i + 13/2*i**2 - 7/6*i**3 - 1. What is the first derivative of m(r) wrt r?
-7
Let m(j) be the third derivative of 0*j**3 + 6*j**2 + 0 + 0*j**4 - 5/24*j**6 + 0*j + 13/60*j**5. What is the third derivative of m(u) wrt u?
-150
Let g(o) be the first derivative of 2*o**7/7 - 111*o**4/4 + 8*o**3/3 + 9. Find the third derivative of g(w) wrt w.
240*w**3 - 666
Differentiate 114*v**4 + 97*v**4 - 48 - 292*v**4 with respect to v.
-324*v**3
Let b(r) = -r**3 + r**2 - r - 1. Let t(k) = -102*k**3 + 16*k**2 + 6*k + 6. Let o(j) = 6*b(j) + t(j). What is the third derivative of o(g) wrt g?
-648
Let i(p) be the third derivative of -1/210*p**7 - 1/8*p**4 + 11*p + 0 + 1/15*p**5 + 3*p**2 - 1/20*p**6 + 0*p**3. Find the third derivative of i(a) wrt a.
-24*a - 36
Let q(d) = -6*d**2 + 24*d - 71. Let p(y) = 11*y**2 - 47*y + 143. Let n(u) = -4*p(u) - 7*q(u). Differentiate n(g) with respect to g.
-4*g + 20
Let p(a) = -a - 2. Let i(u) = 2*u**3 + 3*u**2 -