ond derivative of 89*c + 19*c - 41*c + 27*c**3 wrt c.
162*c
Let c(k) = -473*k**3 + 5*k**2 - 558*k - 11. Let o(t) = 157*t**3 - 2*t**2 + 186*t + 4. Let r(n) = -3*c(n) - 8*o(n). Find the second derivative of r(p) wrt p.
978*p + 2
Let h(p) be the third derivative of p**6/20 + 29*p**5/60 + 80*p**2. What is the third derivative of h(f) wrt f?
36
What is the third derivative of -1321*n**6 + 1297*n**6 + 75*n**2 + 36*n**2 wrt n?
-2880*n**3
Suppose 8*h - 8 - 88 = 0. What is the third derivative of 2*d**4 - 4*d**2 - h*d**4 + d**2 - 5*d**2 wrt d?
-240*d
Let v(z) be the third derivative of 1/2*z**5 + 0 + 32*z**2 + 4/3*z**3 + 0*z + 0*z**4. Find the first derivative of v(d) wrt d.
60*d
Let n = 7 + -2. Suppose -n*v - 2*z + 25 = 0, -v + 5 = -0*v - 3*z. What is the third derivative of 7*p**5 + 2*p**v - 5*p**2 - 15*p**5 wrt p?
-360*p**2
Suppose 0 = 2*x - 6*x. Find the third derivative of -6*j**2 + 14*j**3 - 2*j**2 + x*j**2 - 2*j**2 wrt j.
84
Find the third derivative of 0*v**2 - 83 + 0*v**4 + 3*v**2 - 89 + 163 - v**4 + 18*v**3 wrt v.
-24*v + 108
Suppose -g = -2*g - q, 2*g = 2*q + 20. Suppose 4*z + 4*i = 3*z - 3, 4 = -2*i. Find the third derivative of 0*l**2 + 0*l**2 + l**2 + g*l**z + 3*l**2 wrt l.
300*l**2
Let m(p) = -119*p**4 - 2*p**2 - 2*p + 81. Let b(h) = 237*h**4 + 5*h**2 + 4*h - 161. Let c(z) = 2*b(z) + 5*m(z). What is the second derivative of c(a) wrt a?
-1452*a**2
What is the second derivative of -c - 72*c**2 + 84*c**2 - 147*c**2 + 3 - 6 wrt c?
-270
Find the third derivative of -q - 2*q - 8*q**2 + 199*q**5 - 185*q**5 - 26*q**2 wrt q.
840*q**2
What is the second derivative of 106*y**3 + 47*y**3 - 377*y + 104*y + 48*y**3 wrt y?
1206*y
Suppose -3*w - 4*b = -2*w + 9, 2*w = -b + 3. Let r be (1/w)/((-2)/(-18)). Find the second derivative of 12*n**3 - 16*n + 0*n**r + 18*n wrt n.
72*n
Let o(a) be the first derivative of -2*a**7/35 + 7*a**3/3 - 3*a**2 + 42. Let c(z) be the second derivative of o(z). What is the first derivative of c(d) wrt d?
-48*d**3
Let j(g) be the second derivative of 5*g**9/168 - g**5/3 + 9*g**2 - 17*g. Let q(c) be the first derivative of j(c). What is the third derivative of q(f) wrt f?
1800*f**3
Suppose -7*n = -4*n - 4*k - 20, 4*n - 8 = -4*k. What is the third derivative of -190*c**2 + 174*c**2 - 2*c**n - 8*c**4 wrt c?
-240*c
Suppose -d + 3 - 8 = 0. Let y = d + 9. What is the second derivative of w - 2*w**4 - 3*w**y + 0*w - 2*w wrt w?
-60*w**2
Let x = 50 + -38. Differentiate 0 + 8 + 5*u**3 - 11*u**3 + x wrt u.
-18*u**2
Let l be 8/(-32) + (-9)/(-4). Find the second derivative of 6*d**2 + 7*d**2 - 13*d**l - 14*d**4 + 8*d wrt d.
-168*d**2
Find the third derivative of -8*p**2 + 81*p**5 + 0*p**4 - 69*p**5 + 0*p**4 wrt p.
720*p**2
Let k(o) = -59. Let w(r) = r**2. Let i(m) = -k(m) + 2*w(m). Find the first derivative of i(v) wrt v.
4*v
Let z(c) = 9*c - 5*c - 7*c - 7. Let m be z(-3). Find the third derivative of -15*i**2 + 5*i**m + 2*i**2 - i**5 wrt i.
-60*i**2
Let s(l) = -5*l**5 - 4*l**4 - 11*l**3 + 40*l**2 - 2*l + 2. Let d(c) = -2*c**4 - c + 1. Let p(g) = -2*d(g) + s(g). Find the third derivative of p(t) wrt t.
-300*t**2 - 66
Let y be (-1)/2 - 15/(-10). Suppose 6 = 3*c + q - 1, 5*q + y = -3*c. What is the derivative of 114*o**2 - 114*o**2 + 12*o**c - 1 wrt o?
36*o**2
Let p(o) be the first derivative of -o**4/2 - 49*o**3 + 6*o - 442. What is the derivative of p(i) wrt i?
-6*i**2 - 294*i
Let h(y) be the first derivative of 20 + 0*y**3 + 0*y + 2/3*y**6 - 19/2*y**2 + 0*y**4 + 0*y**5. What is the second derivative of h(m) wrt m?
80*m**3
Let w(o) = -130*o**3 + 7*o**2 + 1207. Let z(s) = -65*s**3 + 3*s**2 + 604. Let y(b) = 3*w(b) - 7*z(b). What is the derivative of y(d) wrt d?
195*d**2
Let l(x) = 29*x**4 - x**3 - 2*x**2 + 11. Let k(t) = -116*t**4 + 5*t**3 + 9*t**2 - 43. Let z(h) = 2*k(h) + 9*l(h). Differentiate z(a) wrt a.
116*a**3 + 3*a**2
What is the third derivative of 1 - 20*q**2 - 29*q**6 - 2 - 38*q**3 + 37*q**3 wrt q?
-3480*q**3 - 6
Suppose 3 = -3*g, 9 = -4*s + 2*g + 31. Suppose s*y - 2*y - 6 = 0. What is the derivative of 5*o**y - 5*o + 7 + 8*o**2 + 5*o wrt o?
26*o
Let n(s) = -1693*s**2 + 32*s + 41. Let p(a) = 846*a**2 - 16*a - 22. Let b(t) = 3*n(t) + 5*p(t). What is the second derivative of b(l) wrt l?
-1698
Let g be 60/10 - 2 - (0 - -2). Suppose 5*r + 0*r = 5*w + 30, 5*w + 18 = -r. What is the second derivative of -7*l + 17*l - 8*l - g*l**r wrt l?
-4
What is the third derivative of 81*f**4 + 231*f**2 - 168*f**5 + 313*f**5 - 143*f**5 wrt f?
120*f**2 + 1944*f
Let b(c) = c - 9. Let h(o) = 2*o - 9. Suppose 0 = 2*u - 4*x + 4 - 10, 3 = 4*u - 5*x. Let j(a) = u*b(a) + 4*h(a). Differentiate j(d) with respect to d.
5
Let a be 4/8 + 3/6. Let z(w) = -w**4 + w**3 - w - 1. Let g(y) = -19*y**4 + 6*y**3 - 6*y + 16. Let h(o) = a*g(o) - 6*z(o). What is the derivative of h(s) wrt s?
-52*s**3
Let h(u) = 5*u**3 - 21*u**2 - 95. Let d(c) = -2*c**3 - 1. Let z(t) = -2*d(t) - h(t). Differentiate z(b) wrt b.
-3*b**2 + 42*b
Suppose -4*q = -2*l - 12, -2*q - 3*q + 16 = -2*l. Find the third derivative of -2*j**6 - j**5 - 24*j**q + 6*j**4 + 18*j**4 + 45*j**2 wrt j.
-240*j**3 - 60*j**2
Let j(i) = 6*i**3 - 203. Let z(u) = -9*u**3 + 203. Let n(c) = -5*j(c) - 4*z(c). Differentiate n(y) with respect to y.
18*y**2
Let u(t) = 18*t - 1. Let k(g) = -165*g - 907. Let p(y) = -k(y) + 4*u(y). What is the first derivative of p(q) wrt q?
237
Let c(q) = 14*q**3 + 2328*q**2 - 8*q + 8. Let k(p) = -p**3 - 776*p**2 + 3*p - 3. Let l(b) = 3*c(b) + 8*k(b). Find the third derivative of l(w) wrt w.
204
Let j be 517/(-264) + -5 - -7. Let r(v) be the third derivative of j*v**4 + 0*v - 11/60*v**5 + 0*v**3 + 0 - v**2. What is the second derivative of r(b) wrt b?
-22
Let n be 8/(-28) - 16/(-7). Suppose -n = 2*x - 10. Find the third derivative of 10*o**6 + 5*o**2 + x*o**6 - 2*o**6 wrt o.
1440*o**3
Let k(z) be the third derivative of 0 + 1/30*z**5 - 1/15*z**6 + 0*z**4 - 23/6*z**3 + 2*z - 2*z**2. What is the third derivative of k(h) wrt h?
-48
Let k(o) be the second derivative of 20*o**3/3 + 42*o**2 + 6*o - 2. What is the derivative of k(m) wrt m?
40
Let o = 23 + 10. Suppose 47 + o = 5*c. Find the third derivative of 8*r - r**4 + 8*r - c*r + 7*r**2 wrt r.
-24*r
Let y = 43 + -48. Let x(h) = -27*h**3 - 30*h**2 + 9. Let u(p) = 14*p**3 + 15*p**2 - 5. Let j(w) = y*x(w) - 9*u(w). Find the third derivative of j(b) wrt b.
54
Let l be 15/(0 + 1)*1. What is the second derivative of 1 + l*j**4 - 1 + 0 + 4*j wrt j?
180*j**2
Let p(t) be the second derivative of 5*t**6/6 + 127*t**3/6 - 2*t - 72. What is the second derivative of p(f) wrt f?
300*f**2
Let w(v) be the third derivative of v**8/84 - 11*v**4/24 - v**3/2 - 85*v**2. What is the second derivative of w(i) wrt i?
80*i**3
Suppose 0 = 3*m + 3*p - 12, -p = 5*m - 2 - 22. Suppose 0 = -m*x + 7 + 3. Differentiate -5*g**4 - 4*g**2 + 4 + 15*g**4 + 4*g**x wrt g.
40*g**3
Find the second derivative of -6*d**2 + 38*d**4 - 11*d**2 + 19*d**4 + 185*d + 28*d**4 + 15*d**2 wrt d.
1020*d**2 - 4
Suppose 7*u + 18 = 53. Let i(a) be the third derivative of 1/6*a**4 + 0*a + 0*a**3 - u*a**2 + 0 + 1/12*a**5. What is the second derivative of i(y) wrt y?
10
Suppose -27*a + 24*a = -6. Let k(s) be the second derivative of 1/20*s**5 - 3/2*s**a + 0*s**3 + 0 + 0*s**4 - s. Differentiate k(r) wrt r.
3*r**2
Let y = 33 + 3. What is the third derivative of v**5 + y*v**3 - 36*v**3 - 11*v**2 wrt v?
60*v**2
Let j(d) be the first derivative of d**2 - d**2 - 3 - 5*d + 5*d**2. What is the first derivative of j(b) wrt b?
10
Suppose -3*s + 10 = 4. Find the third derivative of 74*t**5 + 4*t**2 - 57*t**5 + t**s wrt t.
1020*t**2
What is the derivative of -16*j**4 - 9*j**4 + 41*j**4 - 6*j - 12*j**4 - 22 wrt j?
16*j**3 - 6
Let x be (84/24)/(1/2). Find the third derivative of 2*b**3 + 8*b**4 + 0*b**3 + x*b**2 - 2*b**3 wrt b.
192*b
Let u be (-342)/(-66) - 5 - 106/(-22). Find the third derivative of -z**2 + 3 - 25*z**u + 752*z - 752*z wrt z.
-1500*z**2
Differentiate -2*f + 61*f**2 + 11*f - 30*f**2 - 37*f**2 - 66 wrt f.
-12*f + 9
Let m(k) be the second derivative of k**6/30 + 3*k**5/20 + 25*k**4/6 + 25*k - 2. Find the third derivative of m(g) wrt g.
24*g + 18
Let m(n) be the third derivative of -n**7/210 + n**6/20 - n**5/15 + n**4/24 + 9*n**2. Find the third derivative of m(j) wrt j.
-24*j + 36
Let a(x) be the second de