0 = -4*o + o + 2*u, -2*o - 3*u = -27. Differentiate 2*s**2 - o*s**3 - 2*s**2 + 28 - 44 with respect to s.
-54*s**2
Let w(k) be the first derivative of 25*k**7/42 - 29*k**4/12 + 21*k - 27. Let n(q) be the first derivative of w(q). What is the third derivative of n(o) wrt o?
1500*o**2
Let f(q) = -156*q - 46. Let m(a) = -78*a - 24. Let w(x) = -4*f(x) + 9*m(x). What is the first derivative of w(u) wrt u?
-78
Suppose u + 0 = -2*f + 13, -5*f = u - 25. Find the first derivative of -15*y**4 - 6*y**4 - 7*y**f + 5*y**4 - 5 wrt y.
-92*y**3
Let k be (7 + (-21)/3)/(-2). Let b(o) be the first derivative of -1/3*o**3 + 3 + 0*o**4 + k*o**2 - o**5 + 0*o. What is the third derivative of b(l) wrt l?
-120*l
What is the second derivative of -4*l + 20 - 470*l**2 - 31*l**3 + 470*l**2 - 4 wrt l?
-186*l
Let q(l) be the first derivative of 0*l**2 - 10*l - 5/4*l**4 + 0*l**3 + 9. Differentiate q(n) with respect to n.
-15*n**2
Let f(y) = 3*y**3 + 7*y**2 - 18*y - 4. Let t(i) = 2*i**3 + 8*i**2 - 19*i - 3. Let x(d) = -3*f(d) + 4*t(d). What is the second derivative of x(l) wrt l?
-6*l + 22
Let q(b) be the first derivative of b**5 - 107*b**3/3 - 96*b**2 + 678. Find the second derivative of q(o) wrt o.
60*o**2 - 214
Let h(q) = -q**4 - q - 1. Let o(g) = 2*g**4 - 9*g**4 - 4*g**2 - 12*g - 5 + 4*g**2. Let z(s) = -5*h(s) + o(s). What is the second derivative of z(m) wrt m?
-24*m**2
Suppose 5*q - 3*q = 116. Find the first derivative of q*f - 3 - 18*f**2 - 58*f + 2*f**2 wrt f.
-32*f
What is the second derivative of -8*o - 2394 - 137*o**5 - 104*o + 2394 wrt o?
-2740*o**3
Let a(r) = -269*r**2 - 291. Let q(j) = -135*j**2 - 145. Let g(v) = -4*a(v) + 7*q(v). Find the first derivative of g(u) wrt u.
262*u
What is the second derivative of 109*o + 2*o**3 - 228*o - 4*o**3 wrt o?
-12*o
Let f(j) = 176*j**3 + 14*j**2 + 14*j + 134. Let x(b) = -59*b**3 - 5*b**2 - 5*b - 45. Let p(w) = 5*f(w) + 14*x(w). Find the first derivative of p(u) wrt u.
162*u**2
Let w(b) be the first derivative of 0*b**5 - 11 + 0*b**4 + 0*b**2 + 0*b - 31/3*b**3 - 4/3*b**6. Find the third derivative of w(g) wrt g.
-480*g**2
Let x(z) be the second derivative of 19*z**7/14 + 85*z**4/12 + 2*z + 21. What is the third derivative of x(l) wrt l?
3420*l**2
Let v(z) be the third derivative of -2*z**7/105 + z**5/30 - 79*z**4/24 - 7*z**2 - 5. What is the second derivative of v(q) wrt q?
-48*q**2 + 4
Let x be ((-16)/6)/(-2) - 6120/(-27). Find the second derivative of -x*z**2 + 1 + 3 + 285*z**2 + z wrt z.
114
Find the second derivative of -17 - p - 10 + 197*p**2 + 25 wrt p.
394
Let a(t) be the second derivative of 0*t**2 + 0*t**5 + 0*t**3 + 16*t + 0 - 1/15*t**6 - 3/2*t**4. What is the third derivative of a(p) wrt p?
-48*p
Let x(v) be the third derivative of -5*v**6/6 - 2*v**5/3 - 3*v**2 + v. Find the third derivative of x(a) wrt a.
-600
Suppose 4*r - 53 = -q, 2*r - 24 + 3 = 5*q. Find the first derivative of 114*w - 114*w + 34 + 27*w**2 - r wrt w.
54*w
Suppose 128 = 3*i + i. What is the derivative of 75*f - 38*f - i*f - 2 wrt f?
5
Suppose 4*w + 9 = -c - 1, 3*w + 3 = -3*c. What is the third derivative of -p**2 + 16*p**c - 6*p**2 - 12*p**6 wrt p?
-1440*p**3
Let a = 217 + -217. Let q(d) be the first derivative of -8/5*d**5 + 0*d**4 + 0*d**3 - 4*d - 4 + a*d**2. Differentiate q(w) wrt w.
-32*w**3
Suppose 3*j - g = 8, 2*j - 2 + 10 = 4*g. Suppose -w - i = -3*w + 9, j*w - i = 13. What is the second derivative of 3*m + 13*m**w - 16*m**2 + 2*m wrt m?
-6
Let m be 2*(84/(-7))/(-12). Let c(a) be the second derivative of 9/20*a**5 + 0*a**4 + 7*a**m + 0*a**3 + 0 - 11*a. What is the first derivative of c(u) wrt u?
27*u**2
Let q(c) be the second derivative of 39*c**8/56 - 2*c**4 - c**2/2 - 45*c - 2. What is the third derivative of q(j) wrt j?
4680*j**3
Let o(t) = -2. Let j(h) = 53*h + 23. Suppose 3*b + 1 - 4 = 0. Let z(q) = b*o(q) - j(q). What is the derivative of z(r) wrt r?
-53
Let f(o) be the third derivative of -229*o**4/24 - 355*o**3/6 + 9*o**2 + 7. Find the first derivative of f(h) wrt h.
-229
Let p(z) be the first derivative of 11*z**6/2 - 32*z**3/3 + 94. What is the third derivative of p(q) wrt q?
1980*q**2
Suppose 0 = 3*t - 27 - 12. Find the second derivative of -9*b - 10*b**5 + t*b + 8*b wrt b.
-200*b**3
Suppose 0 = -p - 9 + 11. Let s be 1*(2 - (-1 + 1)). Find the second derivative of -9*q - 5*q**2 - 4*q + 0*q**s - 4*q**p wrt q.
-18
Let f(v) be the second derivative of v**4/12 - 5*v**3/6 + 4*v**2 - 2*v. Let w be f(4). What is the derivative of 5 - 7*h**4 - h**4 + h**w wrt h?
-28*h**3
Let d(t) be the third derivative of t**7/105 + 43*t**4/24 + 73*t**3/6 + t**2 - 34*t. Differentiate d(v) with respect to v.
8*v**3 + 43
Let b(p) be the second derivative of 77*p**6/30 + 107*p**2/2 - p - 39. Find the first derivative of b(q) wrt q.
308*q**3
Let v(m) be the second derivative of 71*m**5/10 - 65*m**2/2 - 2*m + 53. What is the derivative of v(w) wrt w?
426*w**2
Let z(c) be the first derivative of 51*c**7/7 + c**4/4 - 5*c**3/3 + 3*c - 128. Find the third derivative of z(d) wrt d.
6120*d**3 + 6
Let s be (-3)/12 - (-45)/4. Suppose -13 = -3*x + s. What is the second derivative of -k**5 - x*k - 9*k + 7*k wrt k?
-20*k**3
Let g(r) be the third derivative of 157*r**5/30 + 449*r**3/3 - 47*r**2. Differentiate g(t) with respect to t.
628*t
Let n be (32/10)/((-23)/(-115)). What is the second derivative of n - 13 + 7 + 39*c**4 - 3*c wrt c?
468*c**2
Let w(q) = -444*q**2 + 885*q + 37. Let r(g) = -444*g**2 + 884*g + 31. Let z(d) = -6*r(d) + 5*w(d). What is the second derivative of z(o) wrt o?
888
Let f(t) be the second derivative of -23*t**3/3 + 81*t**2/2 - 13*t - 2. Find the first derivative of f(p) wrt p.
-46
Let a(q) be the second derivative of 19*q**5/20 - q**4/4 - 24*q**2 - 258*q. What is the third derivative of a(k) wrt k?
114
Let l(b) be the second derivative of -37*b**5/120 + 19*b**4/12 - 11*b**3/3 - 8*b. Let t(n) be the second derivative of l(n). Differentiate t(z) wrt z.
-37
Let p(a) be the third derivative of 0 - 1/70*a**7 + 0*a**6 + 0*a**5 + 0*a + 0*a**3 + 5/24*a**4 - 12*a**2. Find the second derivative of p(i) wrt i.
-36*i**2
Let i(c) = 2*c + 0 + 6 - c. Let p be i(-4). Differentiate -p + o**3 + 6*o**3 - 4*o**3 wrt o.
9*o**2
Find the second derivative of f + 0*f**2 + 10*f**2 - 13*f**2 - 2 - 2*f**3 wrt f.
-12*f - 6
Let w(j) be the first derivative of j**7/21 - j**3 - 13*j**2/2 - 9. Let i(f) be the second derivative of w(f). Find the first derivative of i(g) wrt g.
40*g**3
Let d(q) be the third derivative of 43*q**9/252 + q**5/30 - q**3/3 + q**2 + 6. Find the third derivative of d(u) wrt u.
10320*u**3
Let c be (-1)/2 + (-3)/(-2). Let s(p) = -p**3 + p + 1. Let r(u) = 18*u**3 - u + 6. Let k(x) = c*s(x) + r(x). Differentiate k(y) with respect to y.
51*y**2
Let d(q) be the first derivative of -20*q**7/7 + 118*q**3/3 + q**2 + 163. What is the third derivative of d(u) wrt u?
-2400*u**3
Suppose -2*a - 2*o = a - 55, 2*a - 39 = o. Find the second derivative of 16 + 3 - 13*x**2 - 22*x - a wrt x.
-26
Let j(d) be the third derivative of 29*d**6/40 - 127*d**4/12 + 3*d**2 - 110*d. What is the second derivative of j(p) wrt p?
522*p
Let w(g) be the first derivative of g**6/3 + g**3/2 + 13*g + 17. Let m(c) be the first derivative of w(c). What is the second derivative of m(n) wrt n?
120*n**2
Let i(v) be the first derivative of -13*v**4/4 + 21*v**3 + 36. What is the third derivative of i(p) wrt p?
-78
Let u(b) be the second derivative of b**8/4 - b**7/14 - b**4/6 + 26*b**3/3 + 7*b + 16. What is the third derivative of u(c) wrt c?
1680*c**3 - 180*c**2
Let n(t) = 3*t**3 - 4*t**2 + 26. Let s(c) = -2*c**3 + 5*c**2 - 25. Let z(k) = 5*n(k) + 4*s(k). What is the first derivative of z(m) wrt m?
21*m**2
Let a(o) be the third derivative of -o**9/504 - 73*o**6/120 + 61*o**5/20 + 150*o**2 + 2*o. What is the third derivative of a(r) wrt r?
-120*r**3 - 438
Let q(l) be the first derivative of l**7/35 + 7*l**5/60 - 4*l**2 + 10. Let d(a) be the second derivative of q(a). What is the third derivative of d(w) wrt w?
144*w
Suppose -5*a = 2 - 17. Differentiate -13 + 5*c**3 - 2*c**3 + 2*c**a with respect to c.
15*c**2
Let w(v) = 88*v**4 - 7*v**3 + 14*v**2 + 7*v - 365. Let l(y) = 29*y**4 - 2*y**3 + 4*y**2 + 2*y - 122. Let j(h) = -7*l(h) + 2*w(h). Differentiate j(f) wrt f.
-108*f**3
Let g(w) = -w**2 