- 7*m**2 - 3*m**s - 2*m**2 - 4*m wrt m.
4
Let t(l) be the first derivative of 39*l**6 - 383*l**3/3 + 51. Find the third derivative of t(w) wrt w.
14040*w**2
Let t(s) be the first derivative of s**3/2 + 7*s**2 + 17*s + 3. Let i(n) be the first derivative of t(n). What is the first derivative of i(d) wrt d?
3
What is the third derivative of 169*g**6 + 3*g - 2*g**2 + 68*g**6 - 147*g**6 wrt g?
10800*g**3
Let c(g) be the first derivative of 0*g**2 + 27*g + 29 + 0*g**3 + 13/5*g**5 + 0*g**4. What is the derivative of c(z) wrt z?
52*z**3
Let b = 91 + -57. What is the derivative of 10*r + b - 4 - 40*r wrt r?
-30
Suppose -5*m + 12 = -3*w, -4*m + 11*w = 9*w - 8. Let p(n) be the first derivative of 1/4*n**4 + 6*n + 0*n**2 + m*n**3 + 3. Differentiate p(d) wrt d.
3*d**2
What is the first derivative of 0*t + 74 + 2*t - 10*t wrt t?
-8
Let r be (-78)/(-14) + 3/7. Let o = r - 3. Find the first derivative of 59*x**3 - 6 + 1 - 56*x**o wrt x.
9*x**2
Let q(f) = 7*f - 2. Let l = 10 - 6. Let y be (-5)/10*(2 + l). Let d(k) = 6*k - 3. Let x(n) = y*d(n) + 2*q(n). What is the derivative of x(j) wrt j?
-4
Let f be (-1)/(-1) - (-2 - 1/1). What is the third derivative of -60*a**f + 127*a**4 + 49*a**2 - 60*a**4 wrt a?
168*a
What is the third derivative of -199*d**6 - 4*d**4 + 384*d**2 - 6 + 6 + 204*d**6 wrt d?
600*d**3 - 96*d
Let o(h) be the second derivative of 6*h + 1/2*h**5 + 0*h**2 + 0*h**3 + 0 + 3/2*h**4. Find the third derivative of o(m) wrt m.
60
What is the derivative of -32247*b**2 - 153*b**3 + 429 - 72*b**3 + 32247*b**2 wrt b?
-675*b**2
Suppose 0 = -3*n + 2*n - 5. Let t(w) = 33*w**3 + 39*w**2 + 5*w. Let l(y) = -y**2 - y. Let q(s) = n*l(s) - t(s). What is the third derivative of q(j) wrt j?
-198
Suppose -63*q + 61*q = 4. Let g(m) = -2*m - 2. Let t(u) be the second derivative of u**3/2 + u**2 + u. Let y(b) = q*g(b) - 3*t(b). Differentiate y(h) wrt h.
-5
Let o(s) be the first derivative of s**7/14 - 11*s**5/60 + s**2 - 19. Let b(u) be the second derivative of o(u). What is the third derivative of b(f) wrt f?
360*f
Let r(t) = 94*t**3 - 9*t**2 - 154. Let d(u) = 189*u**3 - 21*u**2 - u - 309. Let y(c) = 3*d(c) - 7*r(c). What is the first derivative of y(x) wrt x?
-273*x**2 - 3
Differentiate -15*r**3 - 27*r**3 + 21*r**3 - 28*r**3 - 3*r**2 - 43*r**3 - 556 with respect to r.
-276*r**2 - 6*r
Let n(j) be the third derivative of -j**5/3 - 19*j**3/3 + 46*j**2. Let i(o) = 39*o**2 + 76. Let s(a) = 4*i(a) + 7*n(a). Differentiate s(c) wrt c.
32*c
Let j(o) = -544*o**3 + 37*o**2 - 5*o + 5. Let u(s) = 816*s**3 - 55*s**2 + 8*s - 8. Let c(n) = 8*j(n) + 5*u(n). Find the third derivative of c(z) wrt z.
-1632
Let q(j) be the first derivative of -14/3*j**3 + 36 + 0*j + 0*j**4 + 0*j**2 - 6*j**5. Find the third derivative of q(x) wrt x.
-720*x
Let u be (15/(-5) - -1) + 7. What is the second derivative of 30*r**5 - 7*r - 21*r**5 - 20*r**u wrt r?
-220*r**3
Let x(m) = m + 4. Let h be x(18). Suppose -6*a - h + 70 = 0. Find the second derivative of 6*f**5 - 6*f**5 - 4*f**5 + a*f - 4*f**5 wrt f.
-160*f**3
What is the third derivative of 269*t**4 - 272*t**4 - 20*t - 31*t + 2*t**2 - 88*t - 124*t**5 wrt t?
-7440*t**2 - 72*t
Let c(z) be the first derivative of 13*z**5/120 - 17*z**4/24 + 8*z**3/3 - 32. Let h(w) be the third derivative of c(w). What is the derivative of h(d) wrt d?
13
Find the third derivative of 4*q - 65*q**2 - 379*q**6 + 52*q**2 - 32*q**2 wrt q.
-45480*q**3
Suppose 0*t - t = 3, t = -4*m + 25. Find the second derivative of 3*p**2 + 4*p**2 - 7*p**4 + 10*p - m*p**2 wrt p.
-84*p**2
What is the second derivative of -3444*v**4 + 70*v**5 + 2 - 10*v - 10*v**5 + 3444*v**4 wrt v?
1200*v**3
What is the second derivative of 4 - 3*i + 73*i**5 + 0 + 7*i**4 - 4*i**4 - 3*i**4 wrt i?
1460*i**3
Suppose -3*s + 21 = 5*h, -4 = -2*s - 3*s + 2*h. Let d be (-2)/6 - (-13)/3. What is the second derivative of s*x**4 - 3*x**4 - x - 2*x**d + 0*x wrt x?
-36*x**2
Let y(i) = 122*i**2 - 6*i + 1480. Let b(o) = -41*o**2 + 2*o - 494. Let m(f) = -7*b(f) - 2*y(f). Find the first derivative of m(n) wrt n.
86*n - 2
Let h(a) be the third derivative of 0*a**5 + 0*a**7 - 17*a**2 + 0*a + 0 - 1/2*a**4 + 0*a**6 + 0*a**3 - 1/168*a**8. What is the second derivative of h(j) wrt j?
-40*j**3
Suppose 14 - 2 = 4*r. Suppose 2*h = 2*u - u + 5, -5*u = -h + 16. Differentiate r - h - 4*o**3 + 2*o**3 with respect to o.
-6*o**2
Let n(t) be the second derivative of 167*t**7/42 - t**5/10 - 3*t**3 - 2*t**2 - 2*t + 91. Find the second derivative of n(q) wrt q.
3340*q**3 - 12*q
Let o(z) be the first derivative of 11/3*z**3 + 0*z + 0*z**5 + 7/2*z**6 + 0*z**4 + 0*z**2 + 4. What is the third derivative of o(h) wrt h?
1260*h**2
Let x(a) be the second derivative of -313*a**5/10 + 6*a**4 - a**2/2 - 71*a + 2. What is the third derivative of x(c) wrt c?
-3756
Let a(s) = -43*s - 55. Let c(g) = g + 2. Suppose 2*t + 2*v + 6 = 0, -4*v = 2*t - 1 + 15. Let b(f) = t*a(f) + 5*c(f). Differentiate b(p) with respect to p.
-38
Let u(w) = -10*w**3 - 3*w - 7. Let s(v) = 51*v**3 + 17*v + 34. Let g(p) = 2*s(p) + 11*u(p). Differentiate g(m) wrt m.
-24*m**2 + 1
Suppose -641 - 457 = -6*v. What is the third derivative of -5*z**2 - 15*z**2 - 193*z**3 + 347*z**3 - v*z**3 wrt z?
-174
Find the second derivative of 356*f**2 - 4*f**5 + 3*f**5 - 3*f - 364*f**2 wrt f.
-20*f**3 - 16
Let f(g) be the first derivative of -g**4/2 + 8*g**3 - 217*g**2/2 + 208. What is the second derivative of f(o) wrt o?
-12*o + 48
Let l(k) be the third derivative of 13*k**2 + 0 + 0*k + 0*k**6 + 0*k**3 - 1/35*k**7 - 5/8*k**4 + 0*k**5. What is the second derivative of l(x) wrt x?
-72*x**2
Let d(n) be the first derivative of -7/4*n**4 + 2*n**3 + 0*n**2 + 0*n**5 - 1/6*n**6 + 5*n + 22. What is the third derivative of d(r) wrt r?
-60*r**2 - 42
Suppose -3*q = 4*l - 109, -l = -6*q + q - 10. Differentiate -6 - l*j + 24 - 11 with respect to j.
-25
Let s be (0 + 3/(-3))*-2. Suppose 5*r = 6 + 14. Differentiate 5 - r*t**3 + 0 + 1 - s wrt t.
-12*t**2
What is the third derivative of 1 - 1 - j**3 + 9*j**3 + 31*j**2 - 2*j + 4*j**3 wrt j?
72
Differentiate 25*x**3 - 57*x**3 + x**2 - 26 + 33*x**3 - 44*x**2 wrt x.
3*x**2 - 86*x
What is the derivative of -c**3 + 94 + 2*c**3 + 103 - 2*c**3 - 20 - 62*c**2 wrt c?
-3*c**2 - 124*c
Let n(k) = -k**2 - 5*k - 6. Let x be n(-3). Find the third derivative of -4*a**2 + x*a**3 - 2*a**3 - 4*a**3 - 3*a**3 wrt a.
-54
Suppose -4*y + 20 = 0, 0 = 2*k - 4*y + 16 - 2. What is the third derivative of -16*r**k - 16*r**3 - 21*r**2 + 25*r**3 wrt r?
-42
Find the third derivative of 303*h**6 - 6731*h**5 + h**2 - 32 + 6731*h**5 - 5*h**2 wrt h.
36360*h**3
Let x(s) = -2*s - 7. Let a be x(-6). Let y(p) = -p**2 - 6*p + 1. Let n be y(-5). What is the third derivative of g**n - 8*g + a*g**2 + 8*g wrt g?
120*g**3
What is the third derivative of -4016*k**5 - 114*k**2 - 162*k**2 - 2*k + 4981*k**5 wrt k?
57900*k**2
Let c(w) = -4*w - 6. Let a be c(-8). Differentiate -19 - a*x**3 - 15 + 7 wrt x.
-78*x**2
Differentiate 209*o**2 + 618 + 125*o**2 + 71*o**2 + 531*o**2 - 109*o**2 with respect to o.
1654*o
Let s be 1 - (-1 + 0)/(-1). What is the third derivative of -5*i**2 + 3*i**5 - 5*i**2 + s*i + 0*i wrt i?
180*i**2
Let z(j) be the second derivative of -274*j**7/21 + j**3/3 + 280*j**2 - 27*j - 2. Find the second derivative of z(q) wrt q.
-10960*q**3
Suppose 4 = 2*u + 5*c, 5*u + 3 - 13 = -3*c. Let y = 13 - 9. What is the second derivative of -12 + 12 - 2*x - 7*x**u + y*x wrt x?
-14
Suppose -14 - 322 = -6*p. What is the second derivative of -p*y**5 - 4*y - 3*y + 61*y**5 wrt y?
100*y**3
Let w = -15 - -21. Suppose -t + 13 = w. Differentiate 0*d**2 - d**2 - 9*d**2 + t wrt d.
-20*d
Let r(y) be the third derivative of -1/3*y**3 + 0*y + 0 + 23/24*y**4 + 16*y**2. Find the first derivative of r(c) wrt c.
23
Suppose 2*d - 2 = 4*s, -56 = -3*s - 5*d - 25. Suppose s*g = -g + 6. What is the third derivative of 5*n**2 + n**6 + n**6 - g*n**2 wrt n?
240*n**3
Let l(n) = 2 + 3*n**2 - 2*n**2 - 4*n**2 - 3*n + 4*n**2. Let a be l(4). Find the second derivative of 4*s**3 + 0*s + a*s + 0*s wrt s.
24*s
What is the third derivative of 186*k**2 - 160*k**3 - 162*k**2 + 195*k**2 wrt k?
-960
Let u(l) be the first derivative of -104*l**6 - 298*l**3/3 - 378. Find the third derivative of u(v) wrt v.
-37440*v**2
Let h(x) be the third derivative of -127*