
Let d(n) be the third derivative of n**8/840 - n**4/6 - 5*n**3/2 - 16*n**2. Let i(s) be the first derivative of d(s). Find the first derivative of i(t) wrt t.
8*t**3
Find the second derivative of 2*r**4 + 28*r**5 - 5 - 2*r - 30*r**5 - 27 - 57*r**4 wrt r.
-40*r**3 - 660*r**2
Let u = -19 - -23. Let k(t) = -t**2 + t. Let i(p) = 6*p**3 + p**2 - p + 3. Let r(w) = u*k(w) + 4*i(w). Differentiate r(n) wrt n.
72*n**2
Let i(j) = 3*j**3 + 4*j**2 - 8*j + 90. Let h(m) = 7*m**3 + 7*m**2 - 17*m + 180. Let o(w) = -4*h(w) + 7*i(w). Differentiate o(t) with respect to t.
-21*t**2 + 12
Let o(u) = -3*u + 5 + 3 - 3*u + u**2. Let v(r) = -r**2 + 5*r - 7. Let i = 17 - 11. Let w(y) = i*v(y) + 5*o(y). Differentiate w(j) wrt j.
-2*j
Suppose 2*d - 8*j + 5*j + 2 = 0, -4*d = -4*j. What is the third derivative of -40*q**3 - 5*q**2 - 19*q + 3*q**d + 10*q + 12*q wrt q?
-240
Let k = -25 + 87. Let x(s) = 3*s**2 - 7*s - 4. Let q be x(6). Find the second derivative of j - k + q + 4*j**3 wrt j.
24*j
Let q be 1480/2 + 2*(-3)/(-6). What is the third derivative of 17*n**6 + q*n**2 - 754*n**2 - 2 + 2 wrt n?
2040*n**3
Let s(o) = -o**2 + 23*o. Let f be s(23). Let m(z) be the first derivative of 4*z + 1/3*z**3 + 5 + f*z**2. Differentiate m(d) with respect to d.
2*d
What is the second derivative of 3109*c**4 - 3099*c**4 - 10*c**5 - 196*c - 130*c wrt c?
-200*c**3 + 120*c**2
What is the third derivative of -2*z**5 + 2*z + 10*z - 49*z**3 + 10*z**2 - 61*z**3 - 30*z**2 + 18*z**2 wrt z?
-120*z**2 - 660
Let l(u) be the first derivative of -8*u**6 - 29*u**2/2 + 67. What is the second derivative of l(r) wrt r?
-960*r**3
What is the first derivative of 250 + 185*i + 184*i + 274*i + 88*i wrt i?
731
Suppose -2*f - 25 + 33 = 0. What is the second derivative of -12*t + 0*t + 3*t + 18*t**f wrt t?
216*t**2
Let p(o) = -205*o**3 + 274*o**2 - 10*o. Let b(i) = -i**2 - 2*i. Let r(n) = -5*b(n) + p(n). Find the third derivative of r(t) wrt t.
-1230
Let d(i) be the third derivative of -7*i**6/120 + 9*i**5/40 - 19*i**4/12 + 7*i**2. Let b(k) be the second derivative of d(k). Differentiate b(p) wrt p.
-42
What is the third derivative of -50*i**4 + 14*i**2 + 52*i**4 + 34*i**5 - 212*i**2 wrt i?
2040*i**2 + 48*i
Let t(x) be the first derivative of 17*x**8/56 - 31*x**4/12 - 18*x - 6. Let q(d) be the first derivative of t(d). What is the third derivative of q(z) wrt z?
2040*z**3
Let v(g) = 1637*g**4 - 9*g**2 - 181*g - 12. Let d(q) = -409*q**4 + 2*q**2 + 45*q + 3. Let p(j) = -9*d(j) - 2*v(j). Find the second derivative of p(z) wrt z.
4884*z**2
Let k = -80 + 106. What is the first derivative of k - 21*z**4 + 16*z**4 - 8*z**4 wrt z?
-52*z**3
Let m(g) = g**2 - 9*g + 1. Let c be m(8). Let u = 11 + c. Differentiate -3 + 6*n**u - n**4 - 2*n**4 with respect to n.
12*n**3
Suppose 0 = -3*p + 13 - 1. What is the third derivative of -p*j**4 - 88*j**2 + 109*j**2 + 29*j**4 wrt j?
600*j
Suppose w - 1 = -g, -4*g + 0*g + w = -19. Find the third derivative of h**g + 6*h**2 + 3*h**2 - h**2 + 2*h**4 wrt h.
72*h
Let n(b) = b**2 - 10*b + 7. Let t be n(10). Find the first derivative of 0 - 3 + t + 4 + 17*j wrt j.
17
Let s(q) be the second derivative of -106*q**4/3 - q**3/6 - 293*q**2/2 - 2*q + 182. Find the first derivative of s(y) wrt y.
-848*y - 1
Let n(u) = -u**3 - 11*u**2 + 11*u - 6. Let j be n(-12). Find the third derivative of -12*x**j + 9*x**2 + 27*x**6 - 2*x**2 + x**2 wrt x.
1800*x**3
What is the second derivative of -31 - c + 0*c - 32 - 56*c**2 + 64 wrt c?
-112
Let m = -168 + 172. Let f(a) be the second derivative of 0 - 1/12*a**m + 0*a**5 + 0*a**3 + 0*a**2 - 8*a + 1/6*a**6. Find the third derivative of f(j) wrt j.
120*j
Let x(s) be the third derivative of -11/60*s**5 + 0 - 12*s**2 + 0*s**3 + 0*s**4 - 1/15*s**6 + 0*s. Find the third derivative of x(o) wrt o.
-48
Let x(j) be the second derivative of 3*j**8/560 + j**4/8 + j**3 - 22*j. Let y(f) be the second derivative of x(f). Differentiate y(v) with respect to v.
36*v**3
Let j(q) be the second derivative of q**4/3 + q**3/6 - 101*q**2/2 + 561*q. Differentiate j(i) with respect to i.
8*i + 1
Let w(j) = 12*j**2 + 30*j. Let l = 5 - 11. Let y(o) = 35*o**2 + 90*o. Let d(q) = l*y(q) + 17*w(q). Find the second derivative of d(i) wrt i.
-12
Suppose 2*z - y = 12, -2*z = -7*z - 5*y + 30. Suppose 0 = 6*j - 3*j - z. What is the second derivative of -s**2 + 0*s**j - s - 4*s + 0*s wrt s?
-2
Let d(n) = -n**2 + 7*n - 3. Let v be d(6). Find the third derivative of -2*w**3 + 14*w**v + 2*w**2 - w**2 wrt w.
72
Let b be 15/(5 - 0) + -3. Let y(d) be the first derivative of b*d + 5 + d**3 + 5/2*d**2. What is the second derivative of y(v) wrt v?
6
Find the third derivative of 53 + 33*m**2 + 210*m**5 + 13 - 14*m**2 - 20*m**2 + 317*m**5 wrt m.
31620*m**2
What is the second derivative of 127414*t - 11 + 464*t**5 + 38 - 127410*t + 40 wrt t?
9280*t**3
What is the second derivative of 2*g**5 + 22*g**4 - 4*g + 68*g**4 + 12*g**4 - 152*g wrt g?
40*g**3 + 1224*g**2
What is the third derivative of -228*l + 97*l - 61*l**2 + 131*l + 27*l**5 wrt l?
1620*l**2
Find the third derivative of -4664*w**2 + 15*w**3 + 14*w**3 + 4603*w**2 wrt w.
174
Suppose -22*a + 8 = -18*a. Suppose -g - a = -2*g. Find the first derivative of 0*s - 1 - g*s + 3*s wrt s.
1
Let u(c) be the first derivative of 3*c**4/4 - 11*c**2 + 130*c - 155. What is the derivative of u(t) wrt t?
9*t**2 - 22
What is the third derivative of -32*b**2 + 27*b**2 + b**6 - 8*b**3 + 0*b**6 - 56*b**2 wrt b?
120*b**3 - 48
Find the second derivative of 145*n**4 - 4833*n + 4574*n + 27*n**4 wrt n.
2064*n**2
Find the third derivative of -20*v**5 + 22*v**5 + 2*v**6 + 22*v**5 - 94*v**2 wrt v.
240*v**3 + 1440*v**2
Find the second derivative of -3499*o**3 - 99*o - 3521*o**3 - 9*o**2 + 7037*o**3 wrt o.
102*o - 18
What is the first derivative of 2*i + 0*i**4 - i**4 + 79 + 61*i**2 - 71*i**2 - 2*i wrt i?
-4*i**3 - 20*i
Let t be (-12)/13*26/(-4). Let j(g) = 0 - 1 - 10*g**2 + 2. Let i(x) = -11*x**2 + 2. Let q(v) = t*i(v) - 7*j(v). Differentiate q(s) wrt s.
8*s
Let c(f) = -67*f**4 - 3*f**2 + f - 7. Let p(u) = -133*u**4 - 5*u**2 + 2*u - 15. Let i(q) = 5*c(q) - 3*p(q). Find the second derivative of i(n) wrt n.
768*n**2
Let r(w) = 586*w**2 + 4*w - 3. Let t(j) = -391*j**2 - 3*j + 2. Let d(s) = 5*r(s) + 8*t(s). Find the second derivative of d(v) wrt v.
-396
Let j(v) = -v**4 + v**2 - 1. Let f(z) = 15*z**4 + 11*z**2 + 5. Let x = -36 - -35. Let i(k) = x*f(k) - 5*j(k). Find the third derivative of i(r) wrt r.
-240*r
Let j be ((-2)/(-4) + 4)*2. Find the second derivative of -j*t - 6*t**5 + 36*t - 19*t wrt t.
-120*t**3
Let v(n) be the first derivative of -n**5 + n**4 - 2*n**3/3 + 51*n**2 + 19. What is the third derivative of v(p) wrt p?
-120*p + 24
What is the second derivative of 33*x - 2*x**4 - 4*x**2 - 1 - 38*x + 120*x wrt x?
-24*x**2 - 8
Suppose -60 = -43*b + 40*b. What is the second derivative of -2 + 44*v + 2 - 14*v**3 - b*v**3 wrt v?
-204*v
Let x = 2164/3 - 721. Let m(h) be the first derivative of -x*h**3 + 5 + 8*h + 0*h**2. Differentiate m(p) wrt p.
-2*p
Differentiate 199*x + 132*x - 314 - 87*x - 79 + 231*x wrt x.
475
Let k(y) be the second derivative of -2*y**7/21 - y**6/15 + y**4/12 - y**3/3 - y + 2. Find the third derivative of k(r) wrt r.
-240*r**2 - 48*r
Let w(y) be the third derivative of -5*y**6/24 - 34*y**5/15 - 2*y**2 + 47. What is the third derivative of w(c) wrt c?
-150
Let w(f) be the third derivative of 13*f**8/1680 + f**6/36 - f**3/2 + 5*f**2. Let o(l) be the first derivative of w(l). Find the third derivative of o(n) wrt n.
312*n
Find the second derivative of 5 - 10 - 66*d**4 + 4 + 87*d + 177*d - 19*d wrt d.
-792*d**2
Let s(z) = z**3 + 8*z**2 + 5*z - 10. Let u = 15 - 22. Let k be s(u). Find the second derivative of -v**2 + 4*v**2 - 4*v**2 + v - k*v wrt v.
-2
Let i be ((-44)/6)/((-8)/(-12)). Let w(p) = -7*p**3 + 6. Let o(j) = -15*j**3 - j**2 + 11. Let k(h) = i*w(h) + 6*o(h). Find the third derivative of k(v) wrt v.
-78
Let i(f) be the first derivative of 0*f**3 - f - 9/4*f**4 + 0*f**2 - 20. Differentiate i(q) with respect to q.
-27*q**2
Let v(u) = 5*u**2 + u + 3. Let z(k) = 5 + 6*k**2 + 3*k**2 - 9*k + 11*k. Let r(m) = 5*v(m) - 3*z(m). What is the second derivative of r(y) wrt y?
-4
Suppose -w + 0 = 15. Let b(z) = -z**2 - 18*z - 28. Let u be b(w). What is the derivative of -4*