264*p
Let j(z) be the second derivative of z**5/10 - 35*z**4/12 - z**3/3 - 25*z**2/2 + z + 167. Find the second derivative of j(b) wrt b.
12*b - 70
Suppose 0*a = a. Let y = a - -2. Find the third derivative of -2*w**2 - 6*w**y + 39 - 39 + w**4 wrt w.
24*w
Let d(r) be the first derivative of -553*r**5/5 + r**3/3 + 30*r - 295. Find the third derivative of d(k) wrt k.
-13272*k
Let h(o) be the second derivative of 3*o**5/20 + 13*o**4/2 + 93*o**3/2 - 2*o + 67. What is the second derivative of h(b) wrt b?
18*b + 156
What is the second derivative of 0 - 16*l**5 - 8 - 79*l + 6 - 35*l**4 + 36*l**4 wrt l?
-320*l**3 + 12*l**2
Let d(r) = -r**3 + 34*r**2 - 67. Let y(o) = -o**3 + 103*o**2 - 202. Let j(k) = 7*d(k) - 2*y(k). What is the first derivative of j(x) wrt x?
-15*x**2 + 64*x
Let k(u) be the second derivative of 0*u**6 + 0*u**7 + 0*u**3 + 0 - 7/12*u**4 - 2*u + 0*u**5 + 0*u**2 + 13/56*u**8. What is the third derivative of k(i) wrt i?
1560*i**3
Let h(i) = 3 - 1 + 3 + 2 - i. Let u be h(5). What is the third derivative of 11*x**u - x**2 + 6*x**5 + 4*x**5 wrt x?
600*x**2
Suppose -4*n + 12 = -n. Find the third derivative of -17*a**2 - 549*a**4 + 549*a**n - 18*a**5 wrt a.
-1080*a**2
Let g = 73 - 71. Differentiate 1 + 9*o**2 - 29*o**g - 4 + 4 wrt o.
-40*o
Let f(i) = 212*i + 38. Let n(g) = 213*g + 37. Let a(k) = 4*f(k) - 5*n(k). Differentiate a(j) with respect to j.
-217
Suppose 4*y = y - 5*w - 12, -5*w = -4*y - 51. Let n be (y/2)/((-3)/6). Differentiate 3 - 23*z + 2*z**3 - n + 23*z wrt z.
6*z**2
Let c be (0 - -7) + 9/(-3). Suppose -c*d + 4 = -12. What is the second derivative of 3*j**3 + 10*j**4 - 4*j - 3*j**3 - 8*j**d wrt j?
24*j**2
Differentiate 6*l**3 + 14*l + 59 - l + 6*l + 26 + l wrt l.
18*l**2 + 20
Let x(n) be the second derivative of 25*n**8/7 + 17*n**4/4 - 2*n + 51. Find the third derivative of x(w) wrt w.
24000*w**3
Let b be 1702/115 - 1/(-5). Find the second derivative of -45*m**4 + 9*m - 35*m - b*m wrt m.
-540*m**2
Find the third derivative of 2*i**2 + 2154*i**3 - 2 - 1397*i**3 - 110*i - 2 + 4 wrt i.
4542
Let g(h) be the first derivative of -15/2*h**2 + 4*h - 15. What is the derivative of g(x) wrt x?
-15
Find the first derivative of -77*u**2 - 82*u - 19 + 10 - u**3 + 77*u**2 wrt u.
-3*u**2 - 82
Let b = 151 + -151. Let y(l) be the first derivative of 0*l**4 + 0*l**2 - 1/2*l**6 + 0*l + b*l**5 - 1 + 2/3*l**3. Find the third derivative of y(w) wrt w.
-180*w**2
Let k(t) be the second derivative of 11/6*t**3 - 3*t + 0*t**2 + 13/12*t**4 + 0. What is the second derivative of k(n) wrt n?
26
Let u(s) be the third derivative of 31*s**5/12 + s**4/12 + 17*s**3/6 + 110*s**2. Find the first derivative of u(r) wrt r.
310*r + 2
Suppose f + 9 = -5*h, 0 = -3*f - 3*h - 2*h + 3. Suppose 0 = f*d - 9*d + 18. What is the third derivative of 7*z**6 - d*z**6 - z**2 + 2*z**6 wrt z?
360*z**3
Let y = -8 - -18. Let l = y - 8. Find the second derivative of 2*d**2 + 4*d**l + 2*d**2 - 6*d + 4*d wrt d.
16
Let k(q) = -q**3 + 8*q**2 + 9*q + 12. Let l be k(9). Let t be 4*-1*(-141)/l. What is the third derivative of -2*a**6 - 50*a**2 - 2*a**3 + t*a**2 + 2*a**3 wrt a?
-240*a**3
Let h(t) = 3*t**4 + 170*t**3 + 227*t**2 + 2. Let p(l) = -7*l**4 - 340*l**3 - 455*l**2 - 5. Let m(u) = 5*h(u) + 2*p(u). Find the third derivative of m(c) wrt c.
24*c + 1020
Let t be (-3 + (-21)/(-3) + 12)/2. What is the derivative of -26 + 33*h**3 - 13 + t wrt h?
99*h**2
Suppose -2*k + 2*m = -2, -m - 2 = -2*k + 3. Suppose k - 8 = -2*p. Find the third derivative of 2*u**2 - 9*u**2 - 2*u**p + 3*u**4 + 3*u**4 wrt u.
144*u
Let q(f) = 647*f + 30. Let o(a) = 4530*a + 210. Let y(x) = 2*o(x) - 15*q(x). What is the first derivative of y(v) wrt v?
-645
Let r be ((-3)/(-2))/((-11)/(-22)). Differentiate 8 + 7*i**r + 2*i**3 + 0 + 5 with respect to i.
27*i**2
Let p(k) be the first derivative of -131*k**4 - 2*k**3/3 - 61*k**2 - 120. Find the third derivative of p(a) wrt a.
-3144
Suppose n - 3*n = i, 0 = 4*n + 3*i + 4. Suppose 0*x + 5*x - 15 = 0. What is the first derivative of -2 - 6*z**3 - n*z**3 + 4*z**x wrt z?
-12*z**2
Differentiate -74 + 46 + 54 - 40*z with respect to z.
-40
Let b(l) be the second derivative of 6*l - 11/28*l**8 + 0*l**3 + 0 + 5/2*l**4 + 0*l**7 + 0*l**5 + 0*l**2 + 0*l**6. Find the third derivative of b(x) wrt x.
-2640*x**3
Let r be (6/40)/(2 - 6/30). Let a(n) be the third derivative of 0*n - 9*n**2 + 0 - r*n**4 - 5/6*n**3. What is the first derivative of a(l) wrt l?
-2
Find the third derivative of -98*r**5 - 149*r**2 - 9*r**5 - 60*r**5 - 57*r**5 wrt r.
-13440*r**2
Let o(z) = 207*z**3 + 8*z**2 - 141*z - 8. Let x(s) = 69*s**3 + 3*s**2 - 47*s - 3. Let r(q) = -3*o(q) + 8*x(q). What is the second derivative of r(t) wrt t?
-414*t
Let j(i) be the third derivative of i**8/1344 - 11*i**5/120 + i**4/12 - 10*i**2. Let f(p) be the second derivative of j(p). Differentiate f(t) wrt t.
15*t**2
Differentiate 10*d - 31*d + 9*d + 215*d**4 + 177 + 12*d with respect to d.
860*d**3
Let t(y) be the second derivative of y**5/20 + 193*y**3/6 + 757*y**2/2 - 7*y + 4. Differentiate t(a) wrt a.
3*a**2 + 193
Find the first derivative of 378 - 11*v**2 + 426 - 707 + 390 + 54*v**2 + 2*v**3 wrt v.
6*v**2 + 86*v
Let g(x) be the third derivative of -19/12*x**4 + 0*x**7 + 0*x**6 + 0*x**3 + 0*x + 55/336*x**8 + 0 + 0*x**5 - 25*x**2. Find the second derivative of g(l) wrt l.
1100*l**3
Suppose -3*u + 1081 - 1075 = 0. Let s(t) be the first derivative of -2/3*t**3 + 9*t - 7 + 0*t**u. Find the first derivative of s(l) wrt l.
-4*l
Let x(p) = -p**4 - p**3 - p**2 + 2. Let n(z) = 14*z**4 - z**3 - 6*z**2 + 53. Let l(h) = n(h) - 6*x(h). Find the first derivative of l(s) wrt s.
80*s**3 + 15*s**2
Let a(b) = 4*b**2 + 8*b + 5. Let p(r) = -3*r - 1. Let v(k) = -4*k - 1. Let m(g) = -3*p(g) + 2*v(g). Let d(n) = 3*a(n) - 24*m(n). Differentiate d(t) wrt t.
24*t
What is the third derivative of 5 - 6*a**4 + 5*a**2 - 13 + 3 + 8*a**4 + 41*a**5 wrt a?
2460*a**2 + 48*a
Let k(r) = -r**3 - 3*r**2 + 3*r - 1. Let d(j) = j - 4. Let g be d(0). Let t be k(g). What is the first derivative of -2 + t*y**3 + 0*y**3 - y**3 wrt y?
6*y**2
Let m(p) = -p**2 - 2*p - 2. Let j(h) = -273*h**3 - 9*h**2 + 12*h - 8. Let a(b) = j(b) - 4*m(b). Find the third derivative of a(o) wrt o.
-1638
Let d = 22 + -20. Suppose 3*q + 4*m - 12 = 0, -43 = -q - 4*q + m. What is the third derivative of 8 - q + 3*i**3 + 3*i**d wrt i?
18
Let g(d) be the first derivative of -151*d**6/6 - d**3/3 + 6*d + 46. What is the third derivative of g(z) wrt z?
-9060*z**2
Let d = 125 + -122. What is the derivative of -2*t**3 - t**d + 3*t**2 + 49 - 104 wrt t?
-9*t**2 + 6*t
Let o be 0*(0 - 1) - 40/5. Let p(m) = -25*m**4 + 5*m - 37. Let u(j) = 38*j**4 - 8*j + 55. Let h(t) = o*p(t) - 5*u(t). Find the first derivative of h(x) wrt x.
40*x**3
Find the second derivative of -9*a**4 + a**3 - 9*a**3 - 2947 + 2947 - 52*a wrt a.
-108*a**2 - 48*a
Let v(o) be the first derivative of -95*o**3/3 + 56*o + 210. Differentiate v(s) wrt s.
-190*s
Let k(q) = -q**2 - 16*q - 32. Let d be k(-10). What is the first derivative of -2*w - 3*w - 8*w + d - 10*w wrt w?
-23
Suppose -3*j - j - 16 = 0, 5*n + j - 51 = 0. Let q = -8 + n. What is the second derivative of -2*r**3 + q*r - 10*r - 5*r**3 + 2*r**3 wrt r?
-30*r
Let a(i) be the first derivative of 3*i**5/20 - 11*i**3/6 - 13*i**2/2 - 1. Let m(l) be the second derivative of a(l). Differentiate m(j) wrt j.
18*j
Let k(x) be the third derivative of x**9/72 - 17*x**5/6 + 136*x**2. What is the third derivative of k(w) wrt w?
840*w**3
Let b(d) be the second derivative of 0*d**3 + 0 + 19/20*d**5 + 8*d - 4*d**2 + 0*d**4. What is the derivative of b(x) wrt x?
57*x**2
Let n(y) = -37*y**4 + 6*y**3 + 6*y**2 - 88*y - 6. Let f(r) = r**4 + r**3 + r**2 - r - 1. Let g(p) = 6*f(p) - n(p). Find the second derivative of g(m) wrt m.
516*m**2
What is the third derivative of 22*p + 76*p**2 + 11*p - 52*p**5 - 33*p wrt p?
-3120*p**2
What is the third derivative of -550*j + 269*j - 281*j**2 + 281*j - 168*j**3 wrt j?
-1008
Let r(s) be the second derivative of -34*s**7/21 - 298*s**3/3 - 581*s. What is the second derivative of r(d) wrt d?
-1360*d**3
Find the first derivative of -11*x**2 - x**2 + 2*x**2 - 4*x - 2*x**2 + 32 wrt x.
-24*x - 4
Suppose 5*k + 36 - 11 = 0, -4*j + 2*k + 26 = 0. What is the second derivative of -15*u**j - 4 -