- 4*n - 3 - 6 + n**2. Let y be p(4). Differentiate -5 + y - 1 - 5*d - 4 wrt d.
-5
Find the first derivative of -18*k**3 - 21 - 3*k - 16*k - 61 + 9 + 25*k**3 wrt k.
21*k**2 - 19
Let f(n) = -n**2 - 13*n + 16. Let m be f(-14). What is the third derivative of -10*j**5 + 5*j**2 - 4*j**5 + 0*j**m wrt j?
-840*j**2
Let s(v) = 16*v. Let g be s(1). Let o be (24/g)/(3/4). Find the first derivative of -6 + o*i - 2*i + 27*i**2 - 33*i**2 wrt i.
-12*i
Let w = 17 - -16. Find the third derivative of 33*o**3 - 27*o**2 + w*o**3 - 83*o**3 wrt o.
-102
Let z(u) be the third derivative of 0*u**3 - 7/60*u**5 + 0*u**7 + 31/336*u**8 + 0 + 0*u + 0*u**4 + 0*u**6 - 23*u**2. Find the third derivative of z(p) wrt p.
1860*p**2
Let a(n) be the first derivative of -329*n**6/6 + 2*n**5/5 + 15*n**2 + 59. Find the second derivative of a(u) wrt u.
-6580*u**3 + 24*u**2
Let u(a) be the first derivative of -5*a**4 + 11*a**3/3 - 9*a + 9. What is the third derivative of u(h) wrt h?
-120
Let z(x) be the first derivative of 9 - 19/2*x**2 - 18*x. What is the derivative of z(b) wrt b?
-19
What is the third derivative of 189*u**6 + 0*u**4 + 0*u**4 - 77*u**6 - 48*u**2 wrt u?
13440*u**3
Let h be 6 - ((-2)/1 - 2). Find the first derivative of -h*u**3 - 3 + 4 + 14 + 0*u**3 wrt u.
-30*u**2
Let b(m) = -52*m**3 + 6*m**2 - 56*m. Let q(z) = -53*z**3 + 5*z**2 - 57*z. Let v(l) = -3*b(l) + 4*q(l). Find the third derivative of v(k) wrt k.
-336
Let n(b) be the third derivative of -9*b**8/112 - b**5/60 + 19*b**3/2 + 2*b**2 - 4. Find the third derivative of n(l) wrt l.
-1620*l**2
Let g(o) = 3*o - 3. Let i be g(2). Let f(l) be the first derivative of 8/3*l**i - 6 + 0*l - 3/2*l**2. What is the second derivative of f(d) wrt d?
16
Let u(r) = 48*r**3 + 63*r**2 + 26*r - 1034. Let g(w) = -22*w**3 - 31*w**2 - 12*w + 517. Let k(q) = 13*g(q) + 6*u(q). Differentiate k(l) with respect to l.
6*l**2 - 50*l
Let l(v) be the second derivative of -v**9/756 + v**6/72 - 2*v**4/3 - 14*v. Let j(u) be the third derivative of l(u). Find the second derivative of j(d) wrt d.
-240*d**2
Let m(o) be the second derivative of 189*o**5/20 - 43*o**3/6 + 26*o. Find the second derivative of m(n) wrt n.
1134*n
Let c be (-36)/(-20)*(-30)/(-9). Find the first derivative of 5*g - 5*g + c - 15*g**3 wrt g.
-45*g**2
Let n = -36 - -37. Differentiate -51*k**2 + 85*k**2 + n - 55*k**2 wrt k.
-42*k
Let l(d) be the third derivative of 59*d**9/504 + d**5/60 - 17*d**3/6 - 47*d**2. What is the third derivative of l(r) wrt r?
7080*r**3
What is the third derivative of -159*g**4 + 83*g**4 - 82*g**4 - 208*g**2 wrt g?
-3792*g
Suppose 0 = -k + 2*z - 6*z, 5*k = -z - 95. Let y = -18 - k. What is the derivative of 0*b**2 - y*b**2 + 29 - 2*b**2 - 20 wrt b?
-8*b
Find the third derivative of 337*g**2 + 317*g**3 + 536*g**2 - 225*g**2 wrt g.
1902
Find the second derivative of 122*f**3 + 0 + 107*f**3 - 225*f**3 + 0 - 54*f**4 + 1015*f wrt f.
-648*f**2 + 24*f
Let p(j) be the third derivative of 5/24*j**6 + 0*j**4 - j - 7*j**2 + 0*j**3 + 0 + 7/10*j**5. What is the third derivative of p(h) wrt h?
150
Differentiate 850*m - 104*m**4 + 6 + 8 - 850*m with respect to m.
-416*m**3
Let m(c) be the third derivative of 361*c**8/336 + 373*c**5/60 + 133*c**2 + 2. What is the third derivative of m(j) wrt j?
21660*j**2
Let y(w) = 2*w**2 - 11. Suppose 5*z = 3*c - 4*c + 6, 5*c - 30 = -3*z. Let x(n) = 2*n**2 - 12. Let k(b) = c*y(b) - 5*x(b). Differentiate k(d) with respect to d.
4*d
Let j(b) be the first derivative of 13*b + 5/2*b**2 + 2. What is the first derivative of j(y) wrt y?
5
Let q(v) = -17*v**2 - 11. Let n(p) = p**2. Let u = -31 - -35. Let k(x) = u*n(x) + q(x). Find the first derivative of k(d) wrt d.
-26*d
Let n = 44 + -40. Suppose -5 - 1 = -4*x + 2*t, -3*x - t + 7 = 0. Find the second derivative of -x*p**n - p**4 - p + 3*p wrt p.
-36*p**2
Let v(j) be the second derivative of -17*j**6/10 - 5*j**4/3 + j**3/3 + 4*j + 1. What is the third derivative of v(l) wrt l?
-1224*l
Let f(i) be the first derivative of -803*i**4/4 + 419*i + 604. What is the first derivative of f(d) wrt d?
-2409*d**2
Let w be -2 + 1 - -2 - -3. Suppose -28 = -4*y + 3*t, y = -2*t + w*t + 7. Find the second derivative of 5*r - 3*r - 5*r + y*r**5 + 0*r wrt r.
140*r**3
Let f be ((-12)/(-4) - 1)*1 - -3. Find the second derivative of -91*b**5 + 36*b**5 - 14*b + 13*b**f wrt b.
-840*b**3
Let q(a) be the second derivative of -a**7/140 + a**6/72 + a**3/6 - 6*a. Let b(l) be the second derivative of q(l). What is the third derivative of b(w) wrt w?
-36
Let h(b) be the second derivative of -17/6*b**3 + 6*b + 0 + 5/4*b**4 + 0*b**2. Find the second derivative of h(r) wrt r.
30
Differentiate -11*l**2 + 252 - 3*l + 271 - 182 - 84*l**2 wrt l.
-190*l - 3
Let w(x) be the first derivative of -8*x**7/21 + x**4 + 7*x + 13. Let b(y) be the first derivative of w(y). Find the third derivative of b(g) wrt g.
-960*g**2
Let h = 678 - 676. Let c(b) be the first derivative of 0*b**3 + 9 - 11/2*b**h + 1/4*b**4 + 0*b. What is the second derivative of c(p) wrt p?
6*p
Find the third derivative of 14946*x**6 - 11*x**3 + 613*x**2 - 7472*x**6 - 7476*x**6 wrt x.
-240*x**3 - 66
Let m(p) be the third derivative of p**6/30 - p**5/8 - 3*p**3 - 19*p**2. Let c(l) be the first derivative of m(l). Find the second derivative of c(z) wrt z.
24
Let g = 53 + -29. What is the derivative of -1 - 938*h**3 - g + 947*h**3 wrt h?
27*h**2
Suppose 49*n = 54*n - 80. What is the first derivative of -15*l + 24 - n*l + 27*l wrt l?
-4
Let h(p) = 36*p**4 - 30*p**2 - 25*p + 13. Let t(k) = -19*k**4 + 14*k**2 + 13*k - 6. Let n(v) = 6*h(v) + 13*t(v). Find the third derivative of n(u) wrt u.
-744*u
Find the third derivative of -56*u**4 - 73*u**4 + 13*u**3 - 382*u**2 + 74*u**2 + 138*u**4 wrt u.
216*u + 78
Let o(j) be the first derivative of 196*j**3 - 503*j**2/2 - 2*j + 522. Find the second derivative of o(b) wrt b.
1176
Let k be (-2)/(-5) + (-153)/45. Let j be (-88)/(-12) - (-1)/k. What is the first derivative of -l**2 + j + l**2 + l**2 + 4*l**2 wrt l?
10*l
Find the third derivative of 136*z**3 + 6237 - 6237 + 36*z**2 wrt z.
816
Let v be 8/5 - 4/(-10). Let h(t) = -t**2 + 7*t - 6. Let u be h(2). Find the first derivative of n**4 - 2*n**3 + 0*n**u - 1 + v*n**3 wrt n.
4*n**3
What is the third derivative of -10*c**4 - 13*c**4 - 23*c**4 - 38*c**4 - 177*c**2 wrt c?
-2016*c
Suppose -12*o + 35 + 1 = 0. Differentiate -14 - 4 + 3 - 49*f**o with respect to f.
-147*f**2
Let j be (-4)/(4 - 90/21). What is the derivative of j*o + 0*o - o - 2*o**3 + 634 - 639 wrt o?
-6*o**2 + 13
Let j be 2*(2 + -5 + 4). Suppose 3*p - 10 = -j*p. What is the first derivative of 0 - 7 + p - 8*t**3 + 1 wrt t?
-24*t**2
Let l(g) = -4*g - 5. Let y(b) = -12*b - 16. Let t(k) = -7*l(k) + 2*y(k). Let s be t(0). What is the second derivative of -3*i - s*i**3 - i**3 - 8*i - 3*i wrt i?
-24*i
Let v(o) be the first derivative of -9*o + 0*o**2 - 5 + 1/3*o**3. Differentiate v(j) wrt j.
2*j
Let n(d) be the second derivative of 3*d**5/2 + d**4/12 + 6*d**2 + 2*d - 43. Find the third derivative of n(z) wrt z.
180
Suppose -o - 3*p + 12 = 2*o, -4*p = -o - 1. Suppose 3*l + 3*c - 6 = l, 0 = l - o*c - 3. Find the third derivative of l*w**2 - w**2 + 3*w**6 + 10*w**2 wrt w.
360*w**3
Let z be 1/4 - (-310)/8. Suppose -2*o - 4*m = -18, 3*m + z = -0*o + 2*o. Find the third derivative of -x**3 - 3*x**2 + 15*x - o*x wrt x.
-6
Let m(t) = 21*t**4 + 5*t**3 - 3*t + 109. Let j(v) = -31*v**4 - 7*v**3 + 5*v - 164. Let i(f) = 5*j(f) + 7*m(f). Differentiate i(y) with respect to y.
-32*y**3 + 4
Let z(w) be the third derivative of w**7/105 - 13*w**6/120 - 2*w**5/15 + w**3/6 - 6*w**2 + 3*w. What is the third derivative of z(x) wrt x?
48*x - 78
Let h(j) = 6*j**3 + 11*j**2 - 82*j + 5. Let w(k) = 3*k**3 + 6*k**2 - 41*k + 3. Let p(i) = -3*h(i) + 5*w(i). Find the second derivative of p(y) wrt y.
-18*y - 6
Let v(c) be the first derivative of -2*c**3/3 - 63*c**2/2 + 361*c + 267. What is the first derivative of v(l) wrt l?
-4*l - 63
What is the first derivative of -26*u**3 + 13*u**3 - 10*u**3 - 2*u - 2*u + 173 wrt u?
-69*u**2 - 4
Let b(l) be the first derivative of 26 + 10*l**2 + 0*l**4 + 0*l**3 + 0*l + 9/5*l**5. What is the second derivative of b(x) wrt x?
108*x**2
Let b(i) be the first derivative of -33*i**4/2 + 44*i**2 + 33. Find the second derivative of b(t) 