cond derivative of w(f) wrt f.
12*f
Let g(w) be the second derivative of 163*w**4/12 - 11*w**2 + 4*w - 19. Differentiate g(x) wrt x.
326*x
Let y = 15 + -4. Let f = y + -2. What is the second derivative of 11*t**3 - 15*t**3 + f*t**3 + 3*t wrt t?
30*t
What is the third derivative of -302*f**2 + 2*f**5 + 309*f**6 - 118*f**2 + 0*f**5 + 157*f**6 wrt f?
55920*f**3 + 120*f**2
Let h be (14/(-3))/(1/(-3)). Suppose 3*y + 2 = h. Find the third derivative of -26 - 5*t**y - t**2 + 26 wrt t.
-120*t
Let h(d) be the first derivative of 89*d**4 - 90*d + 355. Find the first derivative of h(u) wrt u.
1068*u**2
Let l = 121 - 118. What is the second derivative of 32*m**3 - 32*m**l - 41*m**4 + 30*m wrt m?
-492*m**2
Let l(n) be the third derivative of -n**8/168 - 17*n**7/105 - 4*n**4/3 - n**2 - 92*n. Find the second derivative of l(c) wrt c.
-40*c**3 - 408*c**2
What is the second derivative of -18 + 23 + 117*q - 5 + 83*q**5 wrt q?
1660*q**3
Suppose 55 = 3*g - 2*u, 2*g = 5*g - 5*u - 52. Find the second derivative of -34*s + s**4 + g*s + 12*s**4 wrt s.
156*s**2
Let o(q) = q + 1. Let r = 62 - 64. Let j(y) = -39*y + 17. Let a(c) = r*o(c) - j(c). What is the derivative of a(u) wrt u?
37
What is the second derivative of 11*f + 6 - 590*f**3 + 505*f**3 - 6 wrt f?
-510*f
Let r be (-5 - (-1)/(-3)) + 6. Let h(m) be the second derivative of r*m**4 - 4/3*m**3 + 0 - 7*m + 0*m**2. Find the second derivative of h(u) wrt u.
16
Let r(x) be the first derivative of 11*x**6/120 - 5*x**4/6 + 6*x**3 + 5. Let m(f) be the third derivative of r(f). What is the first derivative of m(o) wrt o?
66*o
Suppose -18 = -h + 8. Suppose -5*i - t + 425 = 0, 2*i + 5*t - 196 + h = 0. Differentiate -5 + i*m - 85*m - 3*m**3 wrt m.
-9*m**2
Let c(d) = 8*d**5 - d**3 - d + 1. Let f(z) = 6*z**5 + z**3 + 6*z**2 - 3*z + 3. Let i(r) = -3*c(r) + f(r). What is the third derivative of i(o) wrt o?
-1080*o**2 + 24
What is the third derivative of 28*r**6 + 3*r - 357*r**5 + 2*r**3 - 60*r**2 + 357*r**5 wrt r?
3360*r**3 + 12
What is the first derivative of -15563 + 2*u**2 + 2*u**3 + 15602 + 5*u**3 wrt u?
21*u**2 + 4*u
What is the first derivative of 186*l**4 + 7 - 13 - 2 - 7 + 516*l**4 wrt l?
2808*l**3
Let g be ((-9)/12)/((-9)/24). Let j be 1/(g - 140/72). Find the third derivative of -7*h**4 + 8*h**2 + 3*h**4 - j*h**2 - 5*h**4 wrt h.
-216*h
Suppose -4*b = 4*r - 48, -4*b - 4*r + 3*r + 36 = 0. Let a = b - 6. Differentiate -5 - a*z**3 + 5*z**3 + 3*z**3 wrt z.
18*z**2
Differentiate 10 - 3*u + 3*u**4 + 130 + 3*u + 4*u**2 wrt u.
12*u**3 + 8*u
Let b(p) be the first derivative of 39*p**4/4 - 26*p**3/3 + 3*p**2/2 - 337. What is the third derivative of b(a) wrt a?
234
Let m be (10/(-4) + 3)*10. Suppose -35 = m*r - 10*r. Find the third derivative of 0*u**5 + r*u**2 + 2*u**5 + u**5 wrt u.
180*u**2
Let s(v) be the second derivative of 0*v**3 + 0 + 0*v**4 - 3/5*v**5 - 3*v**2 - 9*v. Differentiate s(h) wrt h.
-36*h**2
Let p(d) be the third derivative of 0*d**5 + 0 - 13*d**2 + 1/8*d**4 + 0*d + 0*d**3 + 13/40*d**6. Find the second derivative of p(t) wrt t.
234*t
Let k be -1*(4 + -2) - -2. Suppose 5*w - 27*w + 88 = 0. What is the second derivative of 3*p**4 - 4*p - p + 2*p**w + k*p**4 wrt p?
60*p**2
Let y(w) be the second derivative of -w**6 - 383*w**2/2 - 571*w. Differentiate y(v) wrt v.
-120*v**3
Find the second derivative of -72*w**3 - 92*w**3 + 63*w + 15*w**3 + 58*w wrt w.
-894*w
Let i(m) be the second derivative of -287*m**6/30 - 147*m**2 + 3*m - 49. Differentiate i(s) wrt s.
-1148*s**3
Let n(h) be the second derivative of 31*h**5/10 - 13*h**3/3 + h - 1. Find the second derivative of n(i) wrt i.
372*i
Suppose 4*z - 5 = 11. Find the third derivative of -a**5 + z*a**5 + 7*a**2 + 8*a**5 wrt a.
660*a**2
What is the third derivative of -952*z**2 + 58*z**4 + 478*z**2 - 9 + 470*z**2 wrt z?
1392*z
Let d(q) = q**3 - 7*q**2 + 7*q - 4. Suppose 0*t = -3*t + 18. Let s be d(t). Find the second derivative of 38*x - x**2 - x**s - 36*x wrt x.
-4
Suppose -g - 9 = 3*q, 5*g - g + 8 = -5*q. Suppose 0 = b - 4, g*b = 5*f - 4 - 4. Find the third derivative of -10*u**4 - u**2 - 11*u**f + 22*u**4 wrt u.
24*u
Differentiate 275*r + 246*r + 2*r - 10245 - 73*r + 10264 wrt r.
450
Let x(l) be the second derivative of 17*l**5/5 + l**4/3 + 20*l**3/3 + 73*l. Find the third derivative of x(m) wrt m.
408
Suppose -2*l + 2 = -2. Differentiate 15 - 11*a**3 - l*a - a + 3*a with respect to a.
-33*a**2
Let m(b) be the first derivative of 0*b**2 + 7/2*b**4 + 4/3*b**3 - 28 + 0*b. What is the third derivative of m(y) wrt y?
84
Let q(k) be the first derivative of k**5/20 - k**4/6 + 11*k**3/3 + 9. Let m(s) be the third derivative of q(s). What is the first derivative of m(p) wrt p?
6
Let d(x) be the first derivative of -x**7/42 + 5*x**4/12 - 12*x - 14. Let f(q) be the first derivative of d(q). Find the third derivative of f(u) wrt u.
-60*u**2
Let m(w) be the third derivative of 17*w**4/24 + 47*w**3/6 - w**2 + 79*w. Find the first derivative of m(h) wrt h.
17
What is the third derivative of 53*t**2 + 18*t**2 + t**5 - 2510*t**3 + 2635*t**3 wrt t?
60*t**2 + 750
Let w(a) be the first derivative of 209*a**4/2 - 165*a**2 - 389. What is the second derivative of w(p) wrt p?
2508*p
Suppose -9*z = -5*z - 8. What is the second derivative of 16*n - n + 9*n + 19*n**z wrt n?
38
Let c(h) be the first derivative of 14*h + 0*h**2 - 34/5*h**5 + 0*h**4 - 31 + 0*h**3. What is the derivative of c(z) wrt z?
-136*z**3
Let x = -10 + 14. Let k = x + -1. Differentiate 4 + 0 - 4*l + k + 1 wrt l.
-4
Let o(m) be the second derivative of m**6/30 + 41*m**5/20 - 4*m**2 + 2*m + 1. Differentiate o(k) wrt k.
4*k**3 + 123*k**2
Let t(a) be the first derivative of 0*a**2 - 6*a - 1/3*a**3 + 12. Differentiate t(m) wrt m.
-2*m
Let l(t) be the second derivative of t**7/21 + t**4/6 - 5*t**3/3 + 9*t - 2. What is the second derivative of l(m) wrt m?
40*m**3 + 4
Let c(a) be the first derivative of -1 + a**6 + 0*a**4 + 0*a**2 - 4/3*a**3 + 0*a + 0*a**5. Find the third derivative of c(w) wrt w.
360*w**2
Let n be -21*3/18*-4. Suppose -6 = -v + 5*z - n, -24 = -v - 3*z. What is the third derivative of 0 + v*m**6 - m**2 - 1 + 1 wrt m?
1440*m**3
Find the first derivative of 349 - 11*x - 23*x - 22*x - 7*x + 21 wrt x.
-63
Let t(d) be the first derivative of -d**5/5 - d**4 + d**2 + 51*d - 85. Find the second derivative of t(u) wrt u.
-12*u**2 - 24*u
Let z(w) be the second derivative of 59*w**4/12 - 13*w**2 - 148*w. Differentiate z(v) with respect to v.
118*v
Find the third derivative of 199*a**2 + 117 - 117 - 39*a**4 + 218*a**2 + 33*a**2 wrt a.
-936*a
Let i(s) be the third derivative of s**7/30 + 3*s**4/4 + 10*s**3/3 + 4*s**2. Let r(l) be the first derivative of i(l). Find the first derivative of r(a) wrt a.
84*a**2
Let r(s) be the third derivative of 0*s - 4*s**2 + 0 + 37/24*s**4 + 0*s**6 + 0*s**5 + 0*s**3 - 3/35*s**7. Find the second derivative of r(u) wrt u.
-216*u**2
Find the third derivative of 5617*m + 106*m**2 + 2*m**6 - 16*m**3 - 5617*m + 323*m**2 wrt m.
240*m**3 - 96
Differentiate -45*u**3 + 42*u**4 - 26*u**3 + 112*u**4 - 967 + 7*u**4 + 72*u**3 wrt u.
644*u**3 + 3*u**2
Let s = 6 - 33. Let y be s/15*10/(-3). What is the first derivative of -y + 3*l**3 - l**3 + 2*l**3 wrt l?
12*l**2
Find the third derivative of 749*b**5 + 170*b**3 - 12*b**4 - b + 333*b**2 + 12*b**4 - 168*b**3 wrt b.
44940*b**2 + 12
Let c(x) = x**2 - x - 38. Let f be c(-6). What is the third derivative of f*o**2 + 9*o**4 - 2*o**2 + 8*o**2 - 4*o**2 wrt o?
216*o
Let d(q) be the third derivative of q**7/105 - q**6/8 + 9*q**3 + 321*q**2. Differentiate d(c) wrt c.
8*c**3 - 45*c**2
Let s(b) = -1798*b - 1079. Let r(d) = -450*d - 270. Let a(k) = -9*r(k) + 2*s(k). Find the first derivative of a(o) wrt o.
454
Let w(d) = -10*d**5 + d**4 + 2*d. Let u(b) = -b**5 - b**4 - 2*b**2. Let k(s) = -3*u(s) - w(s). What is the third derivative of k(c) wrt c?
780*c**2 + 48*c
Let n(d) = d**4 + d**2 + 1. Let p = -5 - -8. Let m(o) = 14*o**4 - 3*o**2 + 25*o - 3. Let b(f) = p*n(f) + m(f). What is the second derivative of b(y) wrt y?
204*y**2
Let b(o) be the first derivative of 3*o**8/7 - o**4/2 + o + 16. Let t(a) be the first derivative of b(a). Find the third derivative of t(y) wrt y.
2880*y**3
Let j(h) = 38*h**2 - 29*h - 17. Let i = 20 + -14. Let t(u) = 13*u**2 - 10*u - 6. Let p(l) = i*j(