st derivative of k(y) wrt y.
8
Let n(k) be the third derivative of -3*k**6/40 - k**5/30 + k**4/6 - 2*k**3/3 + 8*k**2. Find the second derivative of n(a) wrt a.
-54*a - 4
Suppose -z + 2*x + 9 = 0, -5*z - 6*x + 4*x = 3. Let t be 0 - (0 - z*18). What is the second derivative of 8*f**4 + 2*f + 15*f**4 - t*f**4 wrt f?
60*f**2
Let q(n) = -n**3 - 6*n**2 + 7*n. Let k be q(-7). Suppose 0 = -k*a - 4*a. What is the third derivative of -6*i**4 + 3*i**4 + a*i**2 - 2*i**2 - 2*i**4 wrt i?
-120*i
Let m(t) be the second derivative of 0*t**5 + 0*t**3 + 0*t**6 + 1/3*t**7 - 3*t + t**4 + 0 + 0*t**2. Find the third derivative of m(s) wrt s.
840*s**2
Let n(v) = -v**3 + 9*v**2 + 13*v - 9. Let u be n(10). Let o = u - 19. Find the second derivative of -2*k**2 - k + 7*k**2 + o*k**2 - 7*k wrt k.
14
Let m(l) be the third derivative of -119*l**9/72 + l**5/20 + 26*l**3/3 - 11*l**2 - 10*l. What is the third derivative of m(q) wrt q?
-99960*q**3
Differentiate 60*c**2 + 60*c**2 + 65*c**2 + 61*c**2 - 247*c**2 - 170 + c**3 with respect to c.
3*c**2 - 2*c
Let j(k) be the second derivative of 17*k**6/2 + k**4/4 - 29*k**3/6 + 3*k. What is the third derivative of j(d) wrt d?
6120*d
Suppose -2*i = -6 - 16. Find the second derivative of 94*z**4 - 94*z**4 - z - i*z**5 wrt z.
-220*z**3
Let p(g) be the first derivative of -166*g**2 + 209*g + 351. What is the first derivative of p(o) wrt o?
-332
Let t be -3*12*(-4 - -1)/9. Suppose -4*k - 5 = -5*k. What is the first derivative of -12 + t - 7*f**3 + k wrt f?
-21*f**2
Let x(p) be the first derivative of 19*p**7/7 + 3*p**4/4 + 2*p**3 - 9*p**2/2 + 189. What is the third derivative of x(k) wrt k?
2280*k**3 + 18
Let a be ((-8)/6)/(8/(-12)). What is the third derivative of 12*k**a - 7*k**2 - 4*k**3 + 4*k**3 + 6*k**3 wrt k?
36
Let o(d) be the first derivative of 0*d**4 + 0*d**6 + 0*d + 4*d**7 + 0*d**2 + 1/3*d**3 + 0*d**5 + 11. What is the third derivative of o(b) wrt b?
3360*b**3
Suppose -1 = -4*q + 7. Let h(w) be the third derivative of 0*w - 5/24*w**4 + 0 + 5*w**q + 1/2*w**3. Differentiate h(k) with respect to k.
-5
Let o(t) be the first derivative of -1/12*t**4 - 3/2*t**2 + 0*t**3 - 4 - 3*t. Let r(y) be the first derivative of o(y). Differentiate r(m) wrt m.
-2*m
Let w(h) be the second derivative of h**5/2 - 53*h**4/12 - h**2/2 - 8*h. What is the third derivative of w(r) wrt r?
60
Let u(q) be the first derivative of 2*q**5/5 - 23*q**4/4 + 17*q**2 + 36. Find the second derivative of u(l) wrt l.
24*l**2 - 138*l
Let d(o) be the first derivative of 10*o - 9/2*o**2 - 5. What is the first derivative of d(j) wrt j?
-9
Differentiate -246 + 268*v**2 + 81 - 210*v**2 with respect to v.
116*v
Suppose -2 = -7*l + 5*l. Let a = 5 - l. Find the second derivative of -5*f**a + 9*f**3 - 9*f**3 - 5*f wrt f.
-60*f**2
Let d(g) be the third derivative of 671*g**8/336 - 4*g**5/15 - 17*g**4/24 + g**2 + 5. What is the third derivative of d(s) wrt s?
40260*s**2
What is the second derivative of 2*h + 3 + 92*h + 3 - 3 - 2 - 38*h**2 wrt h?
-76
Let v(t) be the second derivative of 0*t**4 + 5*t**3 + 1/10*t**5 + 8*t - 1 + 0*t**2. Find the second derivative of v(y) wrt y.
12*y
Suppose 5*q + j + 2*j - 31 = 0, -q + j + 3 = 0. Find the third derivative of q*f**6 - 15*f**2 + 30*f**6 + 3*f**2 - 13*f**2 wrt f.
4200*f**3
What is the second derivative of 8*q**5 + 20*q**5 + 25*q + 2 - 105*q**5 wrt q?
-1540*q**3
Let o(k) be the second derivative of k**5/30 - k**4/12 + 6*k**2 + 2*k. Let b(h) be the first derivative of o(h). What is the second derivative of b(l) wrt l?
4
Suppose -4*s = -4*x, -5*s + 2 = 3*x - 30. Let v(m) be the first derivative of 13*m**4 - 3*m**4 + m**3 - 12*m**s + 6. Find the third derivative of v(c) wrt c.
-48
Find the first derivative of -19 + 54 + 75 + 24 + 197*o**2 + 38 wrt o.
394*o
Let p(z) be the second derivative of -44*z**6/15 + z**5/20 + 509*z**4/12 - 2*z - 188. Find the third derivative of p(l) wrt l.
-2112*l + 6
Suppose 0 = -4*o - b - 0 + 35, -5*o + 5*b = -50. Let l = 11 - o. Differentiate 5*g**4 - 3 - 26*g**2 + 26*g**l with respect to g.
20*g**3
Let n(a) be the third derivative of -19*a**4/2 - 268*a**3/3 - 216*a**2 - 2*a. What is the first derivative of n(x) wrt x?
-228
Let n(x) be the first derivative of -19*x**4/4 - 27*x**3 - 87. What is the third derivative of n(y) wrt y?
-114
Let c(b) be the second derivative of -21*b**5/4 + 73*b**3/2 - 37*b + 2. What is the second derivative of c(w) wrt w?
-630*w
Let q be (6/4)/(147/588). Let l(b) be the first derivative of 0*b**5 + 0*b**4 + 1/2*b**q - 3*b**3 + 8 + 0*b + 0*b**2. Find the third derivative of l(i) wrt i.
180*i**2
Let i(m) be the third derivative of -m**7/14 + 3*m**5/20 - 353*m**3/6 + 11*m**2 + 1. What is the derivative of i(h) wrt h?
-60*h**3 + 18*h
Let p(d) be the first derivative of 0*d + 8/3*d**3 + 0*d**5 - 3 + 0*d**6 + 0*d**2 + 0*d**4 + 12/7*d**7. What is the third derivative of p(r) wrt r?
1440*r**3
Let v = 2 + 0. Suppose 2*l + v*l - 12 = 0. What is the third derivative of -l*i**2 - i**3 + 3*i**4 + i**3 wrt i?
72*i
Suppose 3*l - 2 = -11. Let v be (-2)/(-4) + l/(-2). What is the second derivative of 0*s**2 - s**2 + 5*s + 2*s**4 + s**v wrt s?
24*s**2
Let y(u) be the first derivative of 148*u**2 + 27*u - 256. What is the first derivative of y(w) wrt w?
296
Suppose 17 = 2*k + 2*y + 3, -11 = 3*k - 5*y. Find the second derivative of 1757 - 1757 - 24*c - 8*c**k wrt c.
-48*c
Let f(l) be the first derivative of -399*l**5/5 + 16*l - 30. Differentiate f(d) wrt d.
-1596*d**3
Let p(s) be the first derivative of -7/2*s**4 + 0*s**2 - 4 + 0*s**3 - 13*s. What is the first derivative of p(h) wrt h?
-42*h**2
Find the second derivative of -23*o + 2*o**2 - 7*o**3 - 2*o**3 + 414*o wrt o.
-54*o + 4
Suppose -4 - 3 = 5*w - 3*x, 5*x - 21 = -w. Differentiate -w + 11 + 3 + 7*l**2 - 2*l**2 with respect to l.
10*l
Let k(h) be the third derivative of 0 + 0*h**4 - 13/168*h**8 + 0*h**7 + 0*h**6 + 20*h**2 - 7/15*h**5 + 0*h**3 + 0*h. What is the third derivative of k(n) wrt n?
-1560*n**2
Let l(p) = -314*p**5 - 6*p**4 - 309*p + 2. Let g(m) = -628*m**5 - 14*m**4 - 617*m + 5. Let x(h) = -3*g(h) + 7*l(h). What is the second derivative of x(s) wrt s?
-6280*s**3
Let v(f) = 883*f**3 - 9*f**2 - 2*f - 36. Let u(a) = 441*a**3 - 5*a**2 - a - 18. Let g(r) = -9*u(r) + 5*v(r). What is the second derivative of g(y) wrt y?
2676*y
Let m(h) = 3*h**2 + 2*h + 8. Let f(z) = -z - 1. Let l(j) = -6*f(j) - m(j). Let o(b) = -1. Let c(s) = -l(s) + 2*o(s). Find the second derivative of c(i) wrt i.
6
Let x(l) = -92*l - 94. Let u(s) = 185*s + 186. Let q(o) = 3*u(o) + 7*x(o). Differentiate q(j) with respect to j.
-89
Let i(c) = -3095*c**3 - 413*c**2 - 11*c - 26. Let l(r) = 619*r**3 + 83*r**2 + 2*r + 5. Let w(a) = -2*i(a) - 11*l(a). Find the third derivative of w(h) wrt h.
-3714
Let c be (1/(-4))/(1/(-556)). Find the third derivative of -139*p + 24*p**5 + c*p - 19*p**2 wrt p.
1440*p**2
Suppose 2*h + 5*u - 9 = 0, 5*h + u + 4*u - 15 = 0. Suppose 4 = h*j - 10. What is the second derivative of 3*y - 7*y**2 + y**4 + j*y**2 wrt y?
12*y**2
Suppose 5*d = 3*d. Suppose d = -4*y + s + 213, -3*y = 2*s - 3*s - 159. What is the second derivative of y*k**2 + 8*k - k**5 - 54*k**2 wrt k?
-20*k**3
Let r(l) = l - 11. Let z be r(14). Find the third derivative of 31*f**z + f**2 - 115*f**3 + 54*f**3 wrt f.
-180
Let t(y) be the first derivative of y**5/5 + y**3 - 9*y**2 - 2*y + 38. Find the second derivative of t(v) wrt v.
12*v**2 + 6
Suppose 2*p = -7*p + 288. Find the first derivative of p*z + 10*z + 69 - 26 wrt z.
42
Let h(n) = 11*n**2 + 4*n + 12. Let s = 19 + -30. Let d(a) = -32*a**2 - 11*a - 35. Let x(j) = s*h(j) - 4*d(j). What is the first derivative of x(p) wrt p?
14*p
Suppose u - 48 = -15. What is the first derivative of u*c + 18*c - 2 + 6 wrt c?
51
Let b = -37 + 60. Suppose b = 4*m + 3. Find the third derivative of 7*j**m + 25*j**2 + 22*j**2 - 46*j**2 wrt j.
420*j**2
Let g = -22 - -28. Find the third derivative of -g*p**2 + 27*p**2 - 2*p**4 + p**4 - 2*p**4 wrt p.
-72*p
Suppose -17*a + 33 + 1 = 0. Let s(r) be the first derivative of -2 + 0*r + 7/3*r**3 + 2*r**a. Find the second derivative of s(v) wrt v.
14
Let s = 21 + -18. Find the second derivative of s*y**2 - 11*y**2 - 5*y - 5*y**2 wrt y.
-26
Let b(z) = -27*z**2 - 39*z. Suppose -l - 5*g + 8 = 5, 6 = 3*g. Let c(f) = 53*f**2 +