(-1)/12). Suppose w*v - v = 3*g + 31, -3*g = 4*v - 14. What is the derivative of -2*f + 0*f - 1 + v*f wrt f?
3
Find the third derivative of 2*g**4 - 166*g**6 + 5*g**5 - 48*g**2 - g**4 - 2*g**4 - 5*g**5 wrt g.
-19920*g**3 - 24*g
Suppose -25 = -3*d + 8. What is the second derivative of -8*z**4 + 2*z**3 + d*z - 2*z**3 + 3*z**4 wrt z?
-60*z**2
Let y(x) be the third derivative of -11/60*x**5 + 15*x**2 + 0*x**4 + 0*x + 0 + 0*x**3 + 0*x**7 + 0*x**6 + 1/56*x**8. Find the third derivative of y(w) wrt w.
360*w**2
Let l(a) be the third derivative of 0*a + 0*a**3 - a**2 + 7/60*a**5 + 0 + 0*a**6 - 1/14*a**7 + 0*a**4. What is the third derivative of l(c) wrt c?
-360*c
Let l(f) be the third derivative of 3*f**6/2 + 11*f**5/60 - f**4/8 + 14*f**2 + 3*f. Find the third derivative of l(n) wrt n.
1080
Let f be ((-1)/(-4) + 4/16)*52. What is the second derivative of 8*o**3 + 19*o - f*o**3 + o**3 wrt o?
-102*o
Let l be ((0/4)/(-5))/(-2). Suppose 4*u + u = l. What is the second derivative of 0*j + u*j - 7*j**2 + 6*j wrt j?
-14
Find the third derivative of 48 - 510*y**5 - 170454*y**3 + y**2 + 170454*y**3 wrt y.
-30600*y**2
Let b(g) = 91*g + 415. Let s(m) = 91*m + 425. Let t(i) = -5*b(i) + 6*s(i). What is the derivative of t(v) wrt v?
91
Find the second derivative of -25*d + 86*d**3 - 32*d + 29*d - 24*d wrt d.
516*d
Suppose 7 = 53*w - 46*w. Let t(u) be the first derivative of w + 0*u + u**2 - 3/4*u**4 + 0*u**3. Find the second derivative of t(f) wrt f.
-18*f
What is the third derivative of -137*v**3 - 45*v**2 - 121*v**3 + 21*v**3 + 25*v**3 wrt v?
-1272
Let l(g) = 7*g**2 - 1. Let z be l(-1). Find the third derivative of z*q**6 + 2*q**4 - q**2 - 2*q**4 - 9*q**2 wrt q.
720*q**3
Let m be (-12)/(-2) - (-1)/1. Let q = 83 - 81. What is the third derivative of w**2 - m*w**2 + 7*w**4 - 7*w**q + 4*w**2 wrt w?
168*w
Find the third derivative of -3*y**3 - 898*y**2 + 851*y**2 + 3*y**6 - 4*y**3 wrt y.
360*y**3 - 42
Let m(y) = 27*y**2 + 51. Let z(v) = 53*v**2 + 102. Let c(t) = -7*m(t) + 4*z(t). Differentiate c(b) with respect to b.
46*b
Let d = 61 - 58. What is the third derivative of -103*o**2 + 63*o**2 + 68*o**2 - 22*o**d wrt o?
-132
Let d(p) be the second derivative of -115*p**7/42 + p**6/10 - 28*p**4/3 + p**2/2 + 297*p. Find the third derivative of d(o) wrt o.
-6900*o**2 + 72*o
Let q = -474 - -479. Let y(x) be the first derivative of 0*x**5 + 0*x**4 + 10/3*x**3 + 0*x**2 - q + 0*x + 5/6*x**6. What is the third derivative of y(m) wrt m?
300*m**2
Differentiate 0*h - 139 + 0*h + 61*h**2 + 47*h**2 - 114 with respect to h.
216*h
Let o(v) be the second derivative of -v**6/30 + 11*v**5/10 - 47*v**4/4 + 5*v - 23. What is the third derivative of o(q) wrt q?
-24*q + 132
What is the first derivative of 126*g - 936 + 966 + 120*g wrt g?
246
Let j(v) = 447*v**3 + 22*v**2 - 29*v - 8. Let s(q) = 149*q**3 + 8*q**2 - 10*q - 3. Let k(u) = -4*j(u) + 11*s(u). Find the second derivative of k(p) wrt p.
-894*p
Let r(t) = -24*t - 2 + 22*t**2 + 4 - 4 - 6. Let y(w) = -15*w**2 + 16*w + 5. Let q(m) = 5*r(m) + 8*y(m). Find the second derivative of q(a) wrt a.
-20
Suppose -10 = 7*v - 31. Find the second derivative of -5*n**3 + n + 0*n + 2*n + v*n wrt n.
-30*n
Let i be 114 - (-2)/8*0. Differentiate -i*w**2 - 23 + 4 + 100*w**2 with respect to w.
-28*w
Let r(u) = u**3 + 7*u**2 - 19*u + 2. Let z be r(-9). Find the first derivative of z*t**2 - 15*t**2 - 18 + 11*t**2 wrt t.
14*t
Let d(u) be the first derivative of -u**6/3 + u**5/5 + 2*u**2 + 2*u - 70. What is the second derivative of d(l) wrt l?
-40*l**3 + 12*l**2
Suppose 3*o = 3*g - 18, -3*g - 6 = -6*g - 3*o. Suppose -4*w + 20 = -0*n + 3*n, g*n - 10 = 3*w. What is the derivative of -31 + b**n + 8*b**4 + 40 wrt b?
36*b**3
Let c(v) be the second derivative of 0*v**2 + 0*v**5 + 0*v**6 - 9/14*v**7 + 0 - 13/6*v**4 + 0*v**3 + 23*v. What is the third derivative of c(j) wrt j?
-1620*j**2
Let w(q) be the first derivative of -14*q**6/15 + 7*q**3/6 + 16*q + 7. Let m(h) be the first derivative of w(h). Find the second derivative of m(c) wrt c.
-336*c**2
Let b(u) = 109*u**3 + 3*u**2 + 4. Let o(j) = 110*j**3 + 4*j**2 + 3. Let s(y) = 6*b(y) - 5*o(y). What is the third derivative of s(h) wrt h?
624
Find the third derivative of 2*o**3 + 3*o + 69*o**5 - 192*o**4 - 9*o**2 + 192*o**4 wrt o.
4140*o**2 + 12
Let o = 14 - 4. Suppose 4*w + 5*c = 2*c + 234, -5*c + o = 0. What is the third derivative of -6*b**2 + b**4 + 57*b - w*b wrt b?
24*b
Suppose 0 = 2*s - 4*s + 8. Let v(x) = x**2 + x. Let j(l) = -23*l**2 - 4*l + 17. Let t(a) = s*v(a) + j(a). Differentiate t(w) with respect to w.
-38*w
Let g(a) be the third derivative of -27*a**6/10 + 223*a**5/60 + 8*a**2 + 2. Find the third derivative of g(b) wrt b.
-1944
Let u(j) be the second derivative of -j**7/14 + 7*j**6/30 - 7*j**3/2 + j + 2. Find the second derivative of u(f) wrt f.
-60*f**3 + 84*f**2
Let v(y) be the third derivative of -y**8/336 + 11*y**7/105 - 31*y**5/12 + 8*y**2 + 30*y. Find the third derivative of v(i) wrt i.
-60*i**2 + 528*i
Let n(f) be the first derivative of -5*f**4/3 + 11*f**2/2 + 46*f + 7. Let m(w) be the first derivative of n(w). What is the derivative of m(d) wrt d?
-40*d
Let g(d) = -2*d + 1 - 2*d + 8*d + 5*d. Let i(z) = 10*z. Let x(v) = 4*g(v) - 3*i(v). What is the first derivative of x(s) wrt s?
6
Let t(k) be the third derivative of 0*k + 0 - k**2 - 2/3*k**3 + 0*k**4 + 1/15*k**5. Find the first derivative of t(j) wrt j.
8*j
Suppose o - 2*o + 52 = 0. Suppose s - 16 = 2*z, 0 = -5*s + 5*z - 2*z + o. What is the second derivative of -w**2 + s*w**3 + 460*w + w**2 - 462*w wrt w?
48*w
Let p(n) be the second derivative of 0 + 0*n**3 + 35*n - 49/2*n**2 + 3*n**4. What is the derivative of p(v) wrt v?
72*v
Let o = 47 - -17. What is the second derivative of -60*q + q**2 - o*q + 128*q wrt q?
2
Find the second derivative of 8*d**5 + 33*d**2 + 20*d**5 - 136*d - 36*d**2 - 2*d**5 wrt d.
520*d**3 - 6
What is the first derivative of -37*w**2 + 169*w - 25*w**2 - 88*w - 82*w + 217 - 50*w**2 wrt w?
-224*w - 1
Let h(s) be the third derivative of 7*s**5/3 - s**4/24 - 7*s**3/6 + 104*s**2. Find the second derivative of h(o) wrt o.
280
Find the second derivative of -2*c**2 - 15*c**3 + 90*c - 22*c**3 + 2*c**3 + c**2 + 3*c**3 - 2 wrt c.
-192*c - 2
Let f(s) be the first derivative of -4*s**3 + 7*s**2/2 - 21*s + 140. Find the second derivative of f(h) wrt h.
-24
Let x(a) = -2*a**3 - a**2 + 2*a + 3. Let g be x(-1). What is the third derivative of 50*w**3 + w**2 + 7 + 5*w**g - 13 + 5 wrt w?
300
Suppose 0 = -4*x + 5*v + 146, 2*v = -12*x + 7*x + 199. What is the third derivative of 9*g**3 + 17*g**2 - 633 + 633 - x*g**3 wrt g?
-180
Let j = -42 + 46. What is the second derivative of 4*s**j + 7*s + 7*s**4 - 16*s**4 + 2*s**4 wrt s?
-36*s**2
Let m = 123/10 + -59/5. Let g(i) be the second derivative of m*i**2 + 1/6*i**3 + 0 - 5*i. What is the first derivative of g(w) wrt w?
1
Let t(y) = y**2 - 142*y - 163. Let m(i) = 4*i**2 - 569*i - 654. Let o(x) = 4*m(x) - 18*t(x). What is the derivative of o(r) wrt r?
-4*r + 280
Let h(y) = y**2 + 2*y. Let o(c) = 76*c**2 - 6*c + 2. Let n(t) = 3*h(t) + o(t). Differentiate n(z) with respect to z.
158*z
What is the third derivative of 94765*u**4 + 1 - 2 + 33*u**2 - 94458*u**4 wrt u?
7368*u
Let b = -9 + 21. Let z = -10 + b. Find the first derivative of -z + 8 + 0 - 3*k wrt k.
-3
Let d(f) be the first derivative of -2*f**2 + f**2 + 2*f**2 - 5*f**5 + 14 + 6*f**5. What is the second derivative of d(n) wrt n?
60*n**2
What is the first derivative of -8*m**2 - 32*m - 239 + m**2 + 49*m wrt m?
-14*m + 17
Find the third derivative of -349*b - b**2 - 272*b + 469*b - 31*b**4 + b**5 + 3*b**5 wrt b.
240*b**2 - 744*b
Let r(j) = -392*j**3 - 242*j**2 + 4. Let k(z) = -z**3 - z**2 + 1. Let w(s) = 4*k(s) - r(s). Find the third derivative of w(y) wrt y.
2328
Suppose 0*z - 67 = -x + 3*z, -2*x + 130 = -5*z. Let v = 94 - x. What is the second derivative of -39*n**2 - 7*n + v*n**2 + 3*n**5 wrt n?
60*n**3
What is the second derivative of -3*c**3 - 6*c**2 + 5*c**2 + 34*c + 95*c + 131*c wrt c?
-18*c - 2
Let u(w) = 189*w**3 + 5*w**2 - 30*w + 248. Let x(b) = -189*b**3 - 6*b**2 + 36*b - 248. Let k(m) = -6*u(m) - 5*x(m). Differentiate k(n) wrt n.
-567*n**2
Let c(t) be the first derivative of -127*t**4 + 7*t**3/3 + 33*t + 681. What is the third derivat