
Let n(q) be the third derivative of -31*q**5/10 + 27*q**3/2 + 65*q**2 - 1. What is the derivative of n(j) wrt j?
-372*j
Let d(b) be the second derivative of 0 + 0*b**3 - 9*b - 3/2*b**2 + 0*b**4 + 19/20*b**5. Find the first derivative of d(i) wrt i.
57*i**2
Let k(x) be the second derivative of -69*x**5/20 - 179*x**2/2 + 80*x - 2. What is the first derivative of k(z) wrt z?
-207*z**2
Let r(o) be the first derivative of 3*o**8/28 - o**4/3 - 7*o + 8. Let q(x) be the first derivative of r(x). Find the third derivative of q(m) wrt m.
720*m**3
Let a be -1*2/(-1) + -2 + 4. What is the second derivative of j + j + 15*j + 19*j**a wrt j?
228*j**2
Let j(z) = -14*z**2 - 15*z + 521. Let o(d) = 15*d**2 + 15*d - 519. Let y(r) = -3*j(r) - 2*o(r). Differentiate y(q) wrt q.
24*q + 15
Let s = 5 + -3. Suppose -5*r = -s*c + 6, -4*r - 6 = -2*c - 0*c. Differentiate 3*d**4 - 4*d**4 - 2 + c*d**4 - 1 wrt d.
8*d**3
Let g be 0/((-9)/((-36)/(-8))). Let x = -3 + 6. Differentiate -2 - 1 - x*j + 5 + g with respect to j.
-3
Find the second derivative of -12*d**2 + 12*d**2 + 527*d + 509*d**3 - 173*d wrt d.
3054*d
Let z(q) be the first derivative of q**4/8 - 11*q**3/6 + 3*q**2/2 + 9. Let g(b) be the second derivative of z(b). Differentiate g(v) wrt v.
3
Let o(w) be the first derivative of 0*w**2 + 0*w**3 + 3 + 3*w - 11/2*w**4. Differentiate o(u) with respect to u.
-66*u**2
Let u be 2/(-2*1/(-1)). Differentiate -27*x**4 + 1 + 3 + u - x**4 with respect to x.
-112*x**3
Let x(l) = 217*l**3 + 9*l**2 - 3*l - 505. Let t(q) = -1084*q**3 - 48*q**2 + 16*q + 2528. Let w(s) = -3*t(s) - 16*x(s). Differentiate w(p) wrt p.
-660*p**2
Let s(c) be the third derivative of 281*c**6/120 + c**4/4 - 7*c**3/3 + 87*c**2. What is the second derivative of s(u) wrt u?
1686*u
Let t = -18 + 25. Let d(f) = 3*f + 0*f + f - t. Let y(w) = 2*w - 3. Let z(k) = -6*d(k) + 13*y(k). What is the derivative of z(m) wrt m?
2
Let a(i) be the first derivative of -2*i**5/5 - 291*i**4/4 - i**2/2 + 143*i - 204. Find the second derivative of a(v) wrt v.
-24*v**2 - 1746*v
Find the second derivative of 113*i - 161*i + 26 - 191*i - 26 - 28*i**4 wrt i.
-336*i**2
Suppose 0 = 2*y + y - 3*m - 69, 5*m = 2*y - 49. Let q = -21 + y. Find the second derivative of -q + 7*b - 10*b**5 + 1 wrt b.
-200*b**3
Suppose -y - 2*y = -36. Differentiate 26*t + y*t**2 + 0*t**2 + 11 - 26*t with respect to t.
24*t
Suppose 4*d - h = -d + 26, -5*h = d. Find the third derivative of -25*a**2 + 12*a**5 + d*a**2 - 11*a**5 + 2*a**5 wrt a.
180*a**2
Let w(t) be the second derivative of 109*t**4/6 - 23*t**3/3 + t - 14. Find the second derivative of w(v) wrt v.
436
Suppose 0 = -4*g + 5*g - 5*z + 11, -4*g = -3*z - 24. Suppose -15*n = -12*n - g. What is the second derivative of 3*a**2 + a - 4*a - n*a wrt a?
6
Let f(r) be the third derivative of 0*r + 0 + 11/60*r**5 + 0*r**3 - 7/12*r**4 - 27*r**2. Find the second derivative of f(c) wrt c.
22
Find the third derivative of 16*t**2 - 49*t**2 - 31*t**2 - 4*t**5 - 11*t**2 wrt t.
-240*t**2
Differentiate -24*a**2 - 57 - 28*a**2 - 27*a**2 with respect to a.
-158*a
Let u = -123 + 127. Let a be 5 - (2 - (0 + 1)). Find the third derivative of 6*m**2 - 4*m**2 - u*m**2 + 4*m**a + m**2 wrt m.
96*m
Let v(r) = -390*r**2 - 2*r + 717. Let g(k) = 10525*k**2 + 55*k - 19360. Let d(q) = 2*g(q) + 55*v(q). Find the first derivative of d(x) wrt x.
-800*x
Let n(l) be the third derivative of 0*l - 5/6*l**4 + 7/60*l**6 + 17*l**2 + 0 + 0*l**5 + 0*l**3. What is the second derivative of n(x) wrt x?
84*x
Let s(a) = 9 - 8 + 5*a + 4*a**2 + 14. Let f be s(-9). What is the derivative of 304 - f + r**2 + 0*r + 0*r wrt r?
2*r
Let p(r) be the third derivative of -29*r**8/28 + 127*r**4/12 - 159*r**2. What is the second derivative of p(a) wrt a?
-6960*a**3
What is the second derivative of -n**4 - 1 + 11679*n - 11627*n + 5*n**4 - 11*n**5 wrt n?
-220*n**3 + 48*n**2
Suppose 0 = -5*d + 4 + 11. Suppose 0*l - 24 = -2*l + 2*x, d*x = l - 14. Find the third derivative of -6*i**3 - i**2 - 2*i**2 + l*i**2 + 9*i**3 wrt i.
18
Let s be (-12096)/(-405) - 4/(-30). Let i be (-1)/(-4) - 10/8. Let q(j) = -1. Let z(x) = 5*x**2 - 20. Let f(w) = i*z(w) + s*q(w). Differentiate f(k) wrt k.
-10*k
Let i(x) = 62*x**4 - 2*x**3 + 33*x - 7. Let w(k) = -123*k**4 + 5*k**3 + k**2 - 69*k + 15. Let u(s) = -5*i(s) - 2*w(s). Find the second derivative of u(m) wrt m.
-768*m**2 - 4
Let g(x) be the third derivative of x**8/336 + x**6/30 + 17*x**4/12 + x**3/2 - 8*x**2 + 6*x. What is the second derivative of g(y) wrt y?
20*y**3 + 24*y
Let v(o) = 5*o**2 - o - 11. Let b(r) = -r**2 - r. Let y = 15 + -16. Let m(d) = y*v(d) + b(d). Find the first derivative of m(k) wrt k.
-12*k
Let j(n) = -43*n**3 - 4*n**2 - 3*n - 290. Let i(r) = -r**2 - r - 1. Let l(k) = 4*i(k) - j(k). What is the first derivative of l(m) wrt m?
129*m**2 - 1
Let n(y) = y**3 - 16*y**2 + 15*y + 2. Let g be n(15). Find the third derivative of 0*z**2 - z**3 - 8*z**g + 8*z**6 + z**3 wrt z.
960*z**3
Let v(m) = -124*m**3 - 3*m**2 + 12*m - 1. Let f(r) = -r**3 + r**2 + r + 1. Let i(n) = 6*f(n) + 2*v(n). What is the second derivative of i(c) wrt c?
-1524*c
Let r = 749 - 749. Let q(a) be the second derivative of -2*a**2 - 1/6*a**6 + r*a**5 + 0*a**4 + 0*a**3 - 5*a + 0. Find the first derivative of q(h) wrt h.
-20*h**3
Let f(p) be the second derivative of 10*p**4/3 - 17*p**3/3 - 5*p + 5. Find the second derivative of f(x) wrt x.
80
Find the second derivative of -20*s + 2*s**2 - 17*s**2 + 10*s**2 - 22*s**2 - 3 wrt s.
-54
Let c(a) = -34*a**2 - 28*a. Let x(m) = 35*m**2 + 29*m. Let h = 9 - 3. Let r(n) = h*c(n) + 5*x(n). Find the second derivative of r(p) wrt p.
-58
Let i = 46 + -91/2. Let j(a) be the second derivative of 0 + i*a**3 + 2/15*a**6 + 0*a**2 - a + 0*a**4 + 0*a**5. What is the second derivative of j(t) wrt t?
48*t**2
Find the third derivative of 104*a**3 - 148*a**2 + 41*a**3 - 5*a**6 + 28*a + 3*a**6 + 150*a**2 wrt a.
-240*a**3 + 870
Let a(w) be the first derivative of -2*w**6/3 - 36*w**5/5 + 38*w**3 - 380. What is the third derivative of a(x) wrt x?
-240*x**2 - 864*x
Let k(h) = h**3 - 11*h**2 - 2*h + 12. Let c be k(11). Let i = c - -13. What is the third derivative of -9*d**2 - 108*d**i + 0*d**2 + 106*d**3 wrt d?
-12
Let b(t) = t**3 - t**2 - t + 2. Let v be b(0). Suppose 2*d + v*l = 12, -d + 4*l = l + 10. Find the first derivative of -2 - d + 3*a + 3*a - a wrt a.
5
Let n(i) = -i**3 + i**2 - 2*i. Let d(y) = 429*y**4 + 4*y**3 - 4*y**2 + 8*y + 430. Let j(g) = d(g) + 4*n(g). Find the first derivative of j(a) wrt a.
1716*a**3
Let j(k) be the second derivative of 0*k**4 + 0 + 0*k**2 + 14*k + 11/6*k**3 + 7/10*k**5. What is the second derivative of j(z) wrt z?
84*z
Let b = -197 - -200. Let h(r) be the first derivative of 2*r**2 - 3 + 0*r**b + 0*r + 1/2*r**4. What is the second derivative of h(j) wrt j?
12*j
Let z(f) = 11*f**3 + 136*f**2 + 5*f - 5. Let m(p) = -11*p**3 - 137*p**2 - 4*p + 4. Let u(t) = -5*m(t) - 4*z(t). What is the third derivative of u(k) wrt k?
66
Let o(h) = -h**3 - h**3 + 0*h**3 + 2 - h + h**3. Let z be o(0). What is the third derivative of 3*b**4 + 2*b**4 + 13*b**2 - 27*b**z + 17*b**2 wrt b?
120*b
Find the second derivative of -11*o + 39*o**2 + 21*o**2 - 19*o**2 + 4*o**2 wrt o.
90
Let g(o) = -42*o**2 + 11*o - 27. Let p(r) = -21*r**2 + 5*r - 13. Let y(w) = -4*g(w) + 7*p(w). What is the second derivative of y(l) wrt l?
42
What is the second derivative of -d**2 + 24*d**4 - 131*d + 398*d + 67*d wrt d?
288*d**2 - 2
Let f(o) = 6*o**2 - 14*o**2 + o**3 + 7*o**2. Let a(u) = 18*u**4 + 5*u**3 - 4*u**2. Let m(r) = a(r) - 5*f(r). Find the third derivative of m(h) wrt h.
432*h
Let k(p) = -127*p**3 - 2*p**2 - 8*p - 110. Let u(m) = 128*m**3 + 3*m**2 + 10*m + 109. Let z(w) = 5*k(w) + 4*u(w). What is the third derivative of z(r) wrt r?
-738
Let v be (-2)/(-13) + (-3199)/91. Let b = -31 - v. Find the second derivative of 109*s**2 + s**b - 109*s**2 + 4*s**4 - s wrt s.
60*s**2
Let v be 93/(-775)*20/(-12). Let f(l) be the first derivative of v*l**5 - 12 + 0*l**3 + 0*l - 9/2*l**2 + 0*l**4. Find the second derivative of f(k) wrt k.
12*k**2
Let a(h) = 2*h**3 - 2*h - 1. Let x(k) = -722*k**3 + 3*k**2 + 129*k - 6. Let t(j) = -6*a(j) + x(j). What is the third derivative of t(y) wrt y?
-4404
Find the third derivative of -135*b**2 + 0*b**4 + 3*b**4 - 7*b**4 - 