respect to f.
20*f**3
Let f(a) be the second derivative of 1/5*a**5 + 0*a**2 - 6*a + 0*a**4 + 1 - 23/6*a**3 + 2/15*a**6. What is the second derivative of f(t) wrt t?
48*t**2 + 24*t
Suppose 4*j + 9*j + 65 = 0. Let g(v) = -21*v**2 - 19*v - 5. Let r(u) = -1. Let m(t) = j*r(t) + g(t). Find the second derivative of m(q) wrt q.
-42
What is the derivative of -21*x**2 + 18*x**2 - 13 + 11*x**2 + 27*x**2 + 2*x**3 wrt x?
6*x**2 + 70*x
Let v = 215 + -215. Let o(i) be the second derivative of 2/3*i**3 + 9*i + 7/20*i**5 + v + 0*i**4 + 0*i**2. What is the second derivative of o(l) wrt l?
42*l
Let l = -18 - -20. Find the second derivative of -x**3 + 39*x**2 - 12*x - 39*x**l wrt x.
-6*x
Let w(b) be the second derivative of 0*b**3 - 10*b + 0 - 25/12*b**4 - 26*b**2. What is the derivative of w(i) wrt i?
-50*i
Suppose 20 = 20*u - 16*u. Let f(a) be the third derivative of 0*a - u*a**2 + 0 - 2/3*a**3 - 1/6*a**4. What is the first derivative of f(i) wrt i?
-4
Find the first derivative of -233 + 11*k**3 + 2*k**3 - 114*k**4 - 13*k**3 wrt k.
-456*k**3
Let n(p) = -2141*p - 401. Let f(z) = -714*z - 133. Let t(j) = 7*f(j) - 2*n(j). What is the first derivative of t(x) wrt x?
-716
Suppose 2*b - 3 = 5. Let r(q) = q**2 + 7*q + 4. Let f be r(-7). What is the third derivative of 5*a**4 - 5*a**f + 7*a**b - 4*a**2 + 9*a**2 wrt a?
168*a
Suppose 0 = -3*h - 13*h. Let k(o) be the third derivative of h*o - 5/6*o**3 + 0*o**4 + 5*o**2 + 0 + 1/15*o**5. Differentiate k(j) with respect to j.
8*j
Let g = -276 - -280. Let l(r) be the first derivative of 0*r**g + 0*r + 0*r**2 - 1/3*r**3 + 3 + 3/5*r**5. What is the third derivative of l(d) wrt d?
72*d
Suppose -5*d - 14 = -4. Let l be 24/(6 + -3) + d. What is the second derivative of 4*c**5 - 2*c**2 + 2*c**2 + 4*c - l*c**5 wrt c?
-40*c**3
Let l be 3*(-2)/(-18)*3. Let n(b) = b + 2. Let j be n(l). What is the second derivative of 0*s**3 + 2*s**3 - 5*s + j*s**3 wrt s?
30*s
Let o(a) = -a - 7. Let w be o(-8). Suppose -w = -y + 18. What is the third derivative of y*s**3 + 5*s**2 - s + s - 15*s**3 wrt s?
24
Let y = -69 - -41. Let m = y - -62. Differentiate m - w - 25 - 6*w wrt w.
-7
Let n(u) = 221*u**5 - 6*u**4 + 53*u - 4. Let t(x) = 443*x**5 - 13*x**4 + 105*x - 9. Let d(s) = 13*n(s) - 6*t(s). Find the second derivative of d(h) wrt h.
4300*h**3
What is the third derivative of -20*q**2 - 52*q**2 - 57 - 234*q**4 + 73*q**2 wrt q?
-5616*q
Let w be (-5)/10 + 7/(-2). Let j = 0 - w. What is the derivative of -3 - j*d - 4 + 12 wrt d?
-4
Let t = -9 - -12. Suppose 0 = 4*q - 2*q + 4, 5*b - t*q = 21. Find the first derivative of 2 + 0 + 3*m**b + 3*m**3 + 1 wrt m.
18*m**2
Let l = 35 - 29. Let p(y) = 55*y**2 - 35*y - 60. Let k(f) = 9*f**2 - 6*f - 10. Let c(v) = l*p(v) - 35*k(v). Differentiate c(i) wrt i.
30*i
Let z(u) = u**3 + 8*u**2 - u - 3. Let f be z(-8). What is the third derivative of a**5 - 14*a**2 + 6*a**2 + 0*a**f wrt a?
60*a**2
Let d(m) = -36*m**3 + 4*m**2 + 89. Let s(y) = 72*y**3 - 9*y**2 - 178. Let g(a) = 9*d(a) + 4*s(a). Find the first derivative of g(r) wrt r.
-108*r**2
Let r(p) be the second derivative of -37/20*p**5 + 0*p**4 + 0 + 5/2*p**3 + 0*p**2 + 31*p. What is the second derivative of r(v) wrt v?
-222*v
Let l(d) be the first derivative of -24 - 35/3*d**3 + 0*d + 0*d**2 + 0*d**4 - 29/5*d**5. What is the third derivative of l(y) wrt y?
-696*y
What is the second derivative of 19*s - 30*s - 99 + 13*s + 4*s**2 + 2 - 24*s**3 wrt s?
-144*s + 8
Let v(i) be the second derivative of i**9/1512 + i**7/2520 - 5*i**4/12 + 7*i. Let n(p) be the third derivative of v(p). Find the third derivative of n(r) wrt r.
240*r
Let r(k) = k**3 + 5*k**2 - 5*k + 6. Let x be r(-6). Suppose x = -s - s + 4. What is the second derivative of 6*h**s - h - 3*h**2 - h wrt h?
6
Let l(u) = u**3 + 4*u**2 - 6*u - 4. Let a be l(-4). Suppose 5*v - o - a = 2*v, 3*o = -6. Differentiate 5*w**3 - 3*w**3 - 2*w**3 - v + 3*w**4 with respect to w.
12*w**3
What is the second derivative of b + 9*b**3 - 37 + 57 + 3*b**5 - 421 - 63*b**3 wrt b?
60*b**3 - 324*b
Suppose -9*a + 1278 - 477 = 0. Differentiate -a*g - 3*g**3 + 28 + 89*g with respect to g.
-9*g**2
Find the second derivative of -46*y**5 + 3*y**2 + 9*y - 2*y - 2*y - 2*y**2 wrt y.
-920*y**3 + 2
Let v(g) = -g - 4. Let o be v(-5). Suppose -o = -3*u + 2. Differentiate -3*z + 0*z - u + 6*z wrt z.
3
Let z(o) = -483*o**3 - 20*o**2 + 30*o + 8. Let h(n) = 483*n**3 + 19*n**2 - 31*n - 6. Let c(i) = -4*h(i) - 3*z(i). Find the third derivative of c(j) wrt j.
-2898
Suppose -4*b + 10 = 2*q + 38, 0 = -3*q - 12. Let c be ((-10)/b + -2)*-1. What is the second derivative of -13*v**2 + v + c + 12*v**2 + 0 wrt v?
-2
Let y(s) = -s**3 - s**2 + 11. Let m be y(0). Find the second derivative of -7*l**2 - 11*l - m*l**4 + 9*l**2 - 2*l**2 wrt l.
-132*l**2
Let a(v) be the second derivative of 27*v**5/10 + 161*v**4/3 + 405*v. Find the third derivative of a(l) wrt l.
324
Let v be ((-9)/(-5))/(3/10). What is the derivative of -7 + 7*h**4 + v - h**4 + 0*h**4 wrt h?
24*h**3
What is the first derivative of 4*m**3 + 494 + 148*m**4 + 0*m**3 - 4*m**3 - 445 wrt m?
592*m**3
Let b(q) be the second derivative of -q**6/30 + 16*q**3/3 - 67*q**2/2 - 5*q - 3. Differentiate b(o) with respect to o.
-4*o**3 + 32
Let j(a) = -4*a - 6. Let l = -2 + 5. Let o be 18/4 + (-1)/2. Let f(h) = 5*h + 7. Let q(b) = l*f(b) + o*j(b). What is the first derivative of q(r) wrt r?
-1
Suppose 42 = -8*f + 66. Let x(o) be the second derivative of -1/6*o**4 + 0 + 0*o**3 + 1/4*o**5 + 0*o**2 - f*o. Find the third derivative of x(r) wrt r.
30
Let r(h) = 5*h**3 - 6*h - 12. Let n(m) = 10*m**3 - 13*m - 25. Let z = -49 + 43. Let p(a) = z*n(a) + 13*r(a). What is the derivative of p(g) wrt g?
15*g**2
Let z(c) be the first derivative of 0*c**3 - 13/2*c**2 + 3*c**4 + 0*c - 14. What is the second derivative of z(q) wrt q?
72*q
Find the second derivative of 524 + 2*n - 266 - 279 - 15*n**4 - 2*n**3 wrt n.
-180*n**2 - 12*n
Let r(q) = 2*q**2 + 9*q - 7. Let n be r(-6). Let p = -3 + 14. Find the second derivative of 0*o**2 + p*o - 10*o + 0*o**2 + n*o**3 wrt o.
66*o
Find the first derivative of -35*y + 4*y**2 + 0*y**2 + 8*y**2 - 3*y**2 - 3*y**2 - 6 wrt y.
12*y - 35
Suppose 3*p = 3*y - 12 - 15, -4*y - 2*p = -12. Find the third derivative of -4*w**4 + 2*w**2 + 205*w - y*w**4 - 205*w wrt w.
-216*w
Let r(f) be the second derivative of -f**7/105 + f**4/2 - f**3/6 + 10*f. Let c(m) be the second derivative of r(m). Differentiate c(v) with respect to v.
-24*v**2
Let r(k) be the first derivative of 221*k**4/4 - 7*k**3 + 2*k + 194. Find the third derivative of r(o) wrt o.
1326
Let y(q) be the first derivative of -8*q**7/7 - 2*q**6/3 - 2*q**3/3 - 14*q**2 + 43. What is the third derivative of y(t) wrt t?
-960*t**3 - 240*t**2
Suppose 20 = -5*m - 20. Let r(u) = u**3 + 7*u**2 - 8*u + 7. Let i be r(m). Differentiate 2 + i*g - 10 - g wrt g.
6
Suppose -y - 341 = -m, -2*y - 1360 = -4*m - 0*y. What is the second derivative of 41*b - 294*b**5 + m*b**5 - b wrt b?
900*b**3
Find the third derivative of -8 + 4 - 4*y**5 - 17*y**3 + 15*y**3 + 0 + 5*y**2 wrt y.
-240*y**2 - 12
Let y(h) = -2*h**4 + h**2 - h + 1. Let f(u) = -9*u**4 + 66*u**2 - 3*u - 224. Let o(s) = -f(s) + 3*y(s). Find the first derivative of o(b) wrt b.
12*b**3 - 126*b
Let h(j) = 3*j**2 + 4*j + 3. Let u be h(-2). Find the third derivative of -10*p**2 + 8*p**5 - 6*p**5 - u*p**5 wrt p.
-300*p**2
Let y(v) be the third derivative of 12*v**7/5 - 419*v**5/60 - 42*v**2 - 5. Find the third derivative of y(a) wrt a.
12096*a
Let a(d) be the third derivative of d**5/12 - 5*d**4/12 - 23*d**3 - 41*d**2 + 1. Differentiate a(m) wrt m.
10*m - 10
Let r be (6 - 0)*(-5)/(-15). Find the third derivative of -10*z**6 + z**6 - 2*z**2 + 0*z**2 - 6*z**r wrt z.
-1080*z**3
Let c(o) = -134*o**3 - 3*o**2 + 42*o - 7. Let h(w) = 67*w**3 + 2*w**2 - 21*w + 4. Let q(k) = -4*c(k) - 7*h(k). What is the third derivative of q(l) wrt l?
402
Let i be (-6)/(-15) - 3/(-5). Find the second derivative of 13*x**2 - 24*x - 1 + i + 13*x wrt x.
26
Let u(m) = -923*m**3 + 27*m**2 - 9*m + 1036. Let x(v) = 461*v**3 - 12*v**2 + 4*v - 519. Let s(o) = -4*u(o) - 9*x(o). What is the first derivative of s(p) wrt p?
-1371*p**2
What is the third derivative of 187 - 2*o**5 - 216*o**5 + 223*o**2 - 187 - 109*o**5 wrt o?
-19620*o**2
Let w(x) = -x + 13. Le