8*d**2 + 1
Find the third derivative of -q**5 + 341*q**3 - 119*q**3 - 115*q**3 - 113*q**3 + 5*q**2 - 2 wrt q.
-60*q**2 - 36
Suppose 12 = 2*g + 5*o - 20, 4*g = 4*o + 8. What is the third derivative of -4*b**5 - 15*b**2 + 759*b**6 + 4*b**5 - 755*b**g wrt b?
480*b**3
Let m = -55 + 64. Find the third derivative of 10*r**4 - 9*r**2 - m*r**3 + 9*r**3 - 5*r**4 wrt r.
120*r
Let g(w) be the third derivative of 0*w**7 + 0*w**3 + 0*w + 7/8*w**4 + 0 + 0*w**6 + 0*w**5 - 1/48*w**8 - 22*w**2. Find the second derivative of g(u) wrt u.
-140*u**3
Let a(k) be the first derivative of -5*k**4 + 83*k**3/3 - 5*k**2/2 + 373. What is the third derivative of a(c) wrt c?
-120
Let a(c) be the first derivative of -4*c**3/3 + c**2 + 78*c - 53. Differentiate a(r) with respect to r.
-8*r + 2
Let i(q) = 19*q**2 + 6*q - 6. Let v(b) = -3*b**2 - 7*b - 8*b**2 - 3*b**2 + 5 - 4*b**2. Let w(m) = -5*i(m) - 6*v(m). What is the second derivative of w(c) wrt c?
26
Let o(v) be the first derivative of -46*v**5/5 + v**4/2 + 356*v + 64. Find the first derivative of o(b) wrt b.
-184*b**3 + 6*b**2
Let y(z) be the second derivative of 0 + 0*z**4 - 1/2*z**3 + 1/12*z**5 + 3*z + 1/2*z**2. Let n(t) be the first derivative of y(t). Differentiate n(b) wrt b.
10*b
Let x(r) be the second derivative of 196*r**5/5 + 109*r**4/6 - 218*r. Find the third derivative of x(y) wrt y.
4704
Let a = 1135 + -1131. Let y(c) be the third derivative of 0*c + 0 - 1/4*c**a - c**2 + 0*c**3 - 1/6*c**5. What is the second derivative of y(j) wrt j?
-20
Suppose -4*p = 4*o - 36, 51 = -0*o + 3*o - 5*p. What is the third derivative of -19*l**6 - 22 - 12*l**2 + o + 10 wrt l?
-2280*l**3
Let y(g) be the second derivative of 25*g**4/24 + 2*g**3/3 + 5*g**2 + 17*g. Let t(o) be the first derivative of y(o). Differentiate t(z) wrt z.
25
Find the first derivative of 9*v**3 + 2*v**3 + 218*v - 228 + 4*v**3 - 14*v**3 wrt v.
3*v**2 + 218
Let m be 2*(-35)/(-10)*(-5)/(-70). Let b(j) be the first derivative of j - m*j**2 - 3. Find the first derivative of b(o) wrt o.
-1
Let b(m) be the first derivative of -32*m**5/5 - m**2/2 - 12*m + 112. Find the second derivative of b(x) wrt x.
-384*x**2
Let i(t) be the second derivative of 419*t**7/42 + t**4/12 - 31*t**2/2 + 43*t. What is the third derivative of i(d) wrt d?
25140*d**2
Let r(d) be the first derivative of -3*d**7/7 - 41*d**5/5 - 23*d**3/3 - 3*d - 26. Find the third derivative of r(a) wrt a.
-360*a**3 - 984*a
Let f(d) = d**2 - 4*d - 22. Let b be f(9). What is the third derivative of -b*a**2 - 2*a**2 + 75*a**6 - 56*a**6 wrt a?
2280*a**3
Let x(y) = -31*y**3 + 179*y**2 - 7*y + 7. Let c(b) = -30*b**3 + 178*b**2 - 6*b + 6. Let u(z) = 7*c(z) - 6*x(z). Find the third derivative of u(o) wrt o.
-144
Let m = 3 - -1. Suppose g = 5 - 2. Find the second derivative of -9*d + 4*d**m + 2*d**4 - 12*d**4 - g*d**4 wrt d.
-108*d**2
Let y(b) be the third derivative of 47*b**6/60 + 49*b**5/15 + 136*b**2. Find the third derivative of y(l) wrt l.
564
Let t(w) be the first derivative of 76*w**3/3 + 222*w + 186. What is the first derivative of t(b) wrt b?
152*b
Let y(t) = 28*t**2 + 8*t. Let q(x) = -x**2. Suppose -3*h = 3*h - 144. Let c(a) = h*q(a) + 2*y(a). Find the second derivative of c(f) wrt f.
64
Let s be (-1)/(-2) - (-14)/4. Let f(v) = -4*v - 51. Let l be f(-13). Differentiate -b + 0 + s + 4 + l with respect to b.
-1
Let b(f) = -f**3 + 5*f**2 - 4*f + 3. Let c be b(4). Differentiate 1 - 16*h**2 + c + 3 with respect to h.
-32*h
Let z = -11 - -11. Suppose -5*l + 17 + 3 = z. Find the second derivative of 2*q - l*q - 2*q**2 + 6*q wrt q.
-4
Let d(k) be the first derivative of -6*k**6 + 34*k**3 + 2*k - 4. What is the third derivative of d(j) wrt j?
-2160*j**2
Let s(m) be the second derivative of 3*m**4/2 + 3*m**3/2 - 9*m**2 - 373*m. What is the second derivative of s(o) wrt o?
36
Suppose 23*v = 28*v - 50. Find the third derivative of 2*r**3 + v*r**3 - 5 - 4*r**3 + 4 - 2*r**2 wrt r.
48
Let y = -75 + 84. Suppose 1 + 3 = 2*h. What is the first derivative of c + h + 8*c - y - c wrt c?
8
Let f(q) be the first derivative of q**5/15 - 7*q**4/12 + q**3/3 + 12. Let c(l) be the third derivative of f(l). What is the first derivative of c(u) wrt u?
8
Let x(s) be the third derivative of -83*s**6/40 - s**5/60 + 18*s**4 - 16*s**2 - 6*s. Find the second derivative of x(p) wrt p.
-1494*p - 2
Let o(v) be the third derivative of 3*v**6/20 + v**4/4 + 2*v**3/3 - 173*v**2. What is the second derivative of o(q) wrt q?
108*q
Suppose 4*p - 21 = 11. Suppose 2*b = 6*b - p. What is the third derivative of 0*z**2 - 2*z**b + 24*z**4 - 22*z**4 wrt z?
48*z
Let t(h) be the second derivative of -2*h**3 + 0 + 1/2*h**2 - 11*h. Let v(j) = -j + 1. Let k(a) = -t(a) + 4*v(a). Find the first derivative of k(o) wrt o.
8
Let d = 19 - 15. Let v(c) be the first derivative of 2*c**4 - d - 3 - 5*c + 0 + c. Find the first derivative of v(f) wrt f.
24*f**2
Let z(m) be the first derivative of -32/5*m**5 + 0*m**4 + 25*m - 4 + 0*m**2 + 0*m**3. Differentiate z(l) wrt l.
-128*l**3
Let z(b) be the second derivative of 22*b**6/5 + 29*b**4/12 + 391*b. What is the third derivative of z(c) wrt c?
3168*c
What is the third derivative of 37*t**2 + 73*t**3 + 8*t**2 - 26*t**2 - 3*t**4 + 2 wrt t?
-72*t + 438
Let s = -38 + 33. Let c(g) = 11*g - 21. Let t(u) = 5*u - 11. Let b(z) = s*t(z) + 2*c(z). What is the derivative of b(o) wrt o?
-3
Let m(d) be the second derivative of 63*d**5/20 + 9*d**4/4 + d**3/2 - 175*d. Find the third derivative of m(j) wrt j.
378
Let y(m) be the first derivative of m**7/7 - 559*m**4/4 + 322*m**3/3 + 515. Find the third derivative of y(g) wrt g.
120*g**3 - 3354
Let v(r) be the second derivative of 609*r**5/20 + r**4/12 - 128*r**3 + 3*r + 4. Find the second derivative of v(d) wrt d.
3654*d + 2
Let q(d) be the second derivative of d**3/3 + 2*d. Let l be q(1). What is the first derivative of 6 - l - 3*o**2 - o**2 wrt o?
-8*o
Find the third derivative of 54 - 15 - 15 + 62*m**2 - 165*m**4 - 23 wrt m.
-3960*m
Let h(d) = -8*d**2 + 7*d + 39. Let u(y) = 3*y**2 - 9 + 14*y - 4 - 16*y. Let n(g) = 2*h(g) + 7*u(g). Differentiate n(b) wrt b.
10*b
Let h(y) = 26*y**3 - y**2 + 2*y. Let w be h(1). Differentiate -5*t + w - t + 9*t + 17*t with respect to t.
20
Suppose -v = -8*v + 49. What is the third derivative of 7*l**5 - 5*l**5 - 3*l**2 - v*l**2 - 5*l**5 wrt l?
-180*l**2
Find the second derivative of 332*z**4 - 44*z - 96*z - 106*z + 95*z wrt z.
3984*z**2
Suppose 34 = 2*x + 2*h, 3*h = x - 3*x + 34. Differentiate -12*c**3 - 2 - x*c + 17*c with respect to c.
-36*c**2
Let a(i) = -i - 245. Let x(r) = r + 368. Let p(z) = -8*a(z) - 5*x(z). Differentiate p(y) wrt y.
3
Let n(y) be the third derivative of 37*y**5/30 - 43*y**4/24 - 80*y**2. Find the second derivative of n(f) wrt f.
148
Let z(v) be the third derivative of -v**7/105 + 11*v**5/15 + 17*v**4/24 + 4*v**3/3 + 103*v**2. What is the second derivative of z(g) wrt g?
-24*g**2 + 88
Let u(r) = -6*r**3 - 5*r**2 - 40*r + 186. Let q(p) = -5*p**3 - 4*p**2 - 40*p + 184. Let c(v) = 5*q(v) - 4*u(v). Differentiate c(b) with respect to b.
-3*b**2 - 40
Let p(z) be the first derivative of -z**5 - 3*z**3 - 338*z - 510. Differentiate p(b) wrt b.
-20*b**3 - 18*b
Let g(s) be the first derivative of 0*s**3 - 10 + 7/4*s**4 + 0*s - 7*s**2. Find the second derivative of g(w) wrt w.
42*w
Let f(v) be the third derivative of 31*v**6/40 + v**5/60 + 7*v**3 + 15*v**2 + 3. Find the third derivative of f(i) wrt i.
558
Let m = -3 + 3. Let x(a) be the second derivative of m*a**2 + 0*a**4 + a + 7/20*a**5 + 0 + a**3. What is the second derivative of x(n) wrt n?
42*n
Let s(f) = 2*f - 10. Suppose 3*g + 8 - 26 = y, 2*y = g - 6. Let i be s(g). Find the third derivative of v**3 + 8*v**i + 2*v**3 - v**6 - 3*v**3 wrt v.
-120*v**3
Suppose z - 5 = -0*z. Suppose -2*q - 15 = 5*o, -z*q + 2*q = 3*o. What is the third derivative of q*i**3 + 0*i**2 - 5*i**2 - 7*i**3 wrt i?
-12
Let w(z) be the second derivative of 43*z**7/42 - 4*z**4/3 - z**3/2 + 106*z. Find the third derivative of w(b) wrt b.
2580*b**2
Let x(q) be the third derivative of 1/15*q**6 - 10*q**2 + 0*q + 0 + 0*q**5 + 0*q**4 + q**3. Find the first derivative of x(m) wrt m.
24*m**2
Let n = 30 + -23. What is the second derivative of 3*o**2 - 17*o + 27*o + n*o**2 wrt o?
20
Let c(r) be the second derivative of -9*r + 2