 - t**6/36 - 7*t**5/12 + 5*t**2. Let i(d) be the third derivative of k(d). Find the first derivative of i(w) wrt w.
45
Suppose 0 = 6*y - 2*y - 12, 13 = d + 3*y. Find the third derivative of -f - 4*f**d + 6*f**4 + f + 18*f**2 wrt f.
48*f
Let w(q) be the second derivative of 0 + 0*q**6 + 0*q**5 + 7/6*q**4 + 1/6*q**3 + 17/14*q**7 + 21*q + 0*q**2. What is the third derivative of w(j) wrt j?
3060*j**2
Suppose 0*s = -s + 2. Suppose 7 = s*c - 3*j, 6 = 5*c + 2*j + 2*j. Find the second derivative of -2*i + 3*i + 2*i + 5*i**c - 4*i wrt i.
10
Let s = 95 + -59. Find the third derivative of -s*w**2 - w**5 + 4*w**2 + 11*w**5 wrt w.
600*w**2
Let r(d) be the second derivative of 61*d**7/42 - 17*d**4/4 - d - 1. What is the third derivative of r(c) wrt c?
3660*c**2
Find the second derivative of 807*o**5 - 402*o**5 - 403*o**5 + 11 - 52*o**2 - 12*o wrt o.
40*o**3 - 104
Let q = 7 - 4. Suppose -19 = -6*o + o - q*d, 0 = 4*o - 5*d + 7. What is the third derivative of 4 + 4*b**2 - o*b**2 - 4 + 5*b**3 wrt b?
30
Suppose -6*g = -3*g - 27. Let m(c) = -c**3 + 4*c**2 - 2*c - 1. Let j be m(3). What is the third derivative of -2*i**4 + 8*i**2 + 0*i**2 - g*i**j wrt i?
-48*i
Suppose -5*a = -4*x - 22, -14 = -5*a + 4*a + 4*x. What is the third derivative of 8*i**3 + 4*i**a + 2*i**3 + 19*i**2 - 2*i**2 wrt i?
60
What is the third derivative of -8431*q**3 + 9*q**2 + 8431*q**3 + 212*q**6 + 31*q**2 wrt q?
25440*q**3
Find the second derivative of 252*b**2 - 25*b - 513*b**2 - 2 + 5*b**3 + 259*b**2 wrt b.
30*b - 4
Find the third derivative of -160*b**2 - 15 + 5 + 1 - 30*b**5 + 9 wrt b.
-1800*b**2
Let z(y) be the first derivative of 19*y**4 - 3*y**2/2 + 7*y + 15. Find the second derivative of z(w) wrt w.
456*w
Let a(n) = -10*n + 73. Let k be a(7). Let c(h) be the first derivative of 5/3*h**k + 0*h - 4 - 3*h**2. Find the second derivative of c(m) wrt m.
10
Let m(a) = -20*a**3 - 15*a**2 - 2*a - 76. Let f(t) = -4*t**3 - 3*t**2 - 15. Let r(c) = 11*f(c) - 2*m(c). What is the second derivative of r(v) wrt v?
-24*v - 6
Let r(l) be the second derivative of 0*l**2 + 0*l**4 - 25/6*l**3 + 0 - 17/42*l**7 - 6*l + 0*l**6 + 0*l**5. What is the second derivative of r(y) wrt y?
-340*y**3
Let n(c) = c - 1. Let u be 6/(-4)*(-8)/12. Let z be n(u). What is the second derivative of -3*w + z*w**3 + 2*w + 4*w**3 - 3*w**3 wrt w?
6*w
Let w = 9 - 14. Let j = w + 7. What is the second derivative of 2*p**j + 6*p - p**2 - 2*p**2 - p**2 wrt p?
-4
Let d(u) be the second derivative of u**8/28 - 15*u**7/14 + 227*u**4/12 + 52*u. Find the third derivative of d(t) wrt t.
240*t**3 - 2700*t**2
Let r(j) be the first derivative of 2*j**7/105 - j**4/8 + 8*j**2 + 5. Let i(x) be the second derivative of r(x). Find the second derivative of i(s) wrt s.
48*s**2
Let r be -1*(-2 + -2) - 8/(-8). Let j(z) be the third derivative of 0*z + 1/12*z**4 - r*z**2 + 2/3*z**3 + 0. Differentiate j(t) with respect to t.
2
What is the second derivative of -3213 - 6*t + 23*t + 20*t**2 + 20*t**2 + 3211 + 2*t wrt t?
80
Let o(v) be the second derivative of -23*v**5/4 + 29*v**4/12 + v**3/3 - 2*v + 14. What is the third derivative of o(f) wrt f?
-690
Let i(f) be the first derivative of 0*f**2 + 0*f**5 + 0*f**4 - 11/7*f**7 + 0*f + 0*f**6 - 19 + 18*f**3. Find the third derivative of i(q) wrt q.
-1320*q**3
Let a(i) be the first derivative of -3*i**8/560 + i**6/45 + 4*i**3 + 12. Let b(k) be the third derivative of a(k). What is the third derivative of b(q) wrt q?
-216*q
Let s(z) = z**2 + 14*z + 25. Let y be s(-12). Let o(n) = -n**3 - n + 2. Let c be o(y). What is the second derivative of c*f - 3*f + 2*f**3 + 12*f + 0*f wrt f?
12*f
Find the third derivative of -185 - 6*g**2 + 4*g + 185 - 37*g**4 - 7*g**4 wrt g.
-1056*g
Find the second derivative of 210*w**3 - 348*w**3 - 41*w + 12*w wrt w.
-828*w
Find the first derivative of -24*v + 55 + 106 - 209 wrt v.
-24
Let y(n) = 4*n + 1. Let x be y(1). Suppose -8*u - 816 + 872 = 0. What is the first derivative of -x + 10 - u*g + 15*g wrt g?
8
Let i(p) = -792*p**2 + 551. Let x(m) = 791*m**2 - 555. Let l(o) = 3*i(o) + 2*x(o). Differentiate l(n) with respect to n.
-1588*n
Let h = -50 - -62. Differentiate h - 3*r**2 - 20*r**2 + 8*r**2 with respect to r.
-30*r
Let a(v) be the second derivative of 69*v**4/2 - 175*v**2 + 266*v. Find the first derivative of a(r) wrt r.
828*r
Let x(c) = -63*c - 9. Let r(t) = 94*t + 14. Suppose -2*m + 1 = 2*b - 1, 19 = 3*m - b. Let u(i) = m*r(i) + 8*x(i). What is the derivative of u(z) wrt z?
-34
Suppose 0 = o + 2. Let h be 9*(20/(-12) - o). Find the first derivative of h - 5*t**2 + t**2 - 4 wrt t.
-8*t
Let c(s) be the first derivative of -3*s**7/7 + s**3/3 + 23*s - 5. Let y(m) be the first derivative of c(m). Find the second derivative of y(g) wrt g.
-360*g**3
Let m = 13 - 8. Find the second derivative of 12*j**4 - 8*j + 17*j**5 - 7*j**4 - m*j**4 wrt j.
340*j**3
Find the third derivative of 34*h**2 + 14*h**4 - 76*h**3 - 20*h**4 + 5*h**4 - 166*h**2 wrt h.
-24*h - 456
Let t(a) be the third derivative of 36*a**2 - 23/120*a**6 + 0*a + 4/3*a**3 + 0*a**5 + 0*a**4 + 0. Find the first derivative of t(h) wrt h.
-69*h**2
Let b(d) be the third derivative of 11*d**9/504 - 11*d**5/60 - d**4/24 - 7*d**2. What is the third derivative of b(o) wrt o?
1320*o**3
Let o(m) = 80*m**3 - 46*m**2 + 3*m + 3. Let h(j) = -161*j**3 + 93*j**2 - 7*j - 7. Let z(q) = -3*h(q) - 7*o(q). Find the third derivative of z(y) wrt y.
-462
Let w(h) be the second derivative of 19*h**5/20 + h**3/6 - 15*h**2 - 100*h. What is the derivative of w(g) wrt g?
57*g**2 + 1
Suppose -x - 26 - 15 = 3*c, -c + 2*x = 23. Let z = c - -20. What is the third derivative of -12*g**5 + z*g**2 + 15*g**5 - 6*g**2 wrt g?
180*g**2
Let h(c) be the third derivative of c**8/84 - c**6/60 + 19*c**4/24 - c**3/6 - 107*c**2. What is the second derivative of h(p) wrt p?
80*p**3 - 12*p
Let x(b) = -2*b**2 + 5*b - 57. Let d(s) = -s**2 + 6*s - 58. Let n(l) = 4*d(l) - 5*x(l). Find the first derivative of n(i) wrt i.
12*i - 1
Let f be 3 - 7 - (0 - 2). Let h(n) = -n**2 - 2*n. Let a be h(f). Find the first derivative of -5*p**3 + a*p**3 - 30 + 33 wrt p.
-15*p**2
What is the derivative of -2389*w**2 - 2258*w**2 + 5002*w**2 - w + w - 391 wrt w?
710*w
Let x be (4/144)/((-9)/(-27)). Let j(y) be the third derivative of -1/12*y**4 + 0*y - 5*y**2 + 0*y**3 + x*y**5 + 0. Find the second derivative of j(z) wrt z.
10
Let k(y) = 6*y**2 + 20*y + 102. Let c(z) = z**2 - z - 1. Let a(s) = -5*c(s) + k(s). What is the first derivative of a(h) wrt h?
2*h + 25
Let c = -324 - -328. Let w(f) be the second derivative of 1/4*f**c - 1/6*f**3 - 2*f + 0 + 0*f**2. Find the second derivative of w(u) wrt u.
6
Let l be (-48)/(-40)*-10*(-1)/4. Find the second derivative of 62*u**5 - u**l + u**3 - 47*u**5 - 9*u wrt u.
300*u**3
Let w = -986 - -986. Let d(u) be the first derivative of w*u**3 + 0*u - 9 + 9/5*u**5 - u**2 + 0*u**4. Find the second derivative of d(m) wrt m.
108*m**2
Let f(d) = 13*d**3 + 87*d**2 - 110*d + 10. Let j(k) = -2*k**3 - k**2 + k - 2. Let p(i) = -f(i) - 5*j(i). Find the second derivative of p(w) wrt w.
-18*w - 164
Let s(d) = 389*d**3 - 24*d**2 + 190*d + 3. Let p(j) = -259*j**3 + 15*j**2 - 127*j - 2. Let b(t) = 8*p(t) + 5*s(t). What is the second derivative of b(g) wrt g?
-762*g
Let w(r) be the first derivative of 4*r**5/5 - 3*r**4/2 - 28*r**3/3 - 80. Find the third derivative of w(h) wrt h.
96*h - 36
Let h(v) = 550*v + 521. Let a(g) = 826*g + 782. Let n(u) = 5*a(u) - 7*h(u). What is the first derivative of n(r) wrt r?
280
Let d(k) be the third derivative of -379*k**6/60 - 833*k**5/60 + 818*k**2. What is the third derivative of d(j) wrt j?
-4548
Let u(k) = 4*k**2 + 2*k - 2. Let s be u(2). Suppose -5*w = -s - 2. Find the third derivative of 4*m**4 - 6*m**2 + m**w + 5*m**2 wrt m.
120*m
What is the second derivative of 293 + 8*i**2 - 293 - 54*i + 7*i**5 wrt i?
140*i**3 + 16
What is the third derivative of -116*c**2 + 270*c**4 + 37*c**4 + 62*c**4 wrt c?
8856*c
What is the third derivative of -324 - 83*z**2 + 180*z**6 + 324 wrt z?
21600*z**3
Let c(q) = 79*q**4 - 3*q**2 + 3*q + 47. Let n(b) = -79*b**4 + 2*b**2 - 2*b - 48. Let h(x) = 2*c(x) + 3*n(x). Differentiate h(a) with respect to a.
-316*a**3
Let j(x) be the first derivative of 0*x**3 + 10 + 0*x + 3/2*x**4 - 5/2*x**2. What is the second deriva