4. Let w be c(1). Find the second derivative of w + v**2 - 45*v - 13 + 4*v**3 - 2*v**2 wrt v.
24*v - 2
Let i(h) = -194*h + 266. Let d(b) = 194*b - 266. Let f(o) = 3*d(o) + 2*i(o). What is the first derivative of f(m) wrt m?
194
Let g(k) be the third derivative of 15*k**7/7 + 163*k**4/24 + 47*k**2 - 5*k. What is the second derivative of g(p) wrt p?
5400*p**2
Let u(k) be the third derivative of -k**4/4 - k**3/6 + 5*k**2. Let n be u(-1). Find the first derivative of 0 - 4 - c + n wrt c.
-1
Let c(j) be the third derivative of j**9/504 - 19*j**6/60 - 29*j**5/20 + 2*j**2 - 70*j. Find the third derivative of c(a) wrt a.
120*a**3 - 228
Let k(c) = -11*c + 76. Let h(y) = 10*y - 73. Let n(i) = -2*h(i) - 3*k(i). Differentiate n(l) wrt l.
13
What is the third derivative of 50*z**2 + 2*z**3 - 47309*z + 47309*z + 4*z**6 wrt z?
480*z**3 + 12
Let z(g) = -73*g**3 - 3*g**2 - 53*g + 3. Let u(v) = 73*v**3 + 2*v**2 + 52*v - 2. Let h(x) = -3*u(x) - 2*z(x). Find the second derivative of h(s) wrt s.
-438*s
Let a(s) = 33*s**4 - 4*s**3 - 466*s**2 - 3*s + 1. Let b(q) = -q**4 - 3*q**2 - q + 1. Let x(f) = -a(f) + 3*b(f). What is the third derivative of x(z) wrt z?
-864*z + 24
Let r(a) be the first derivative of a**10/630 - a**6/120 - a**3/3 + 12. Let i(k) be the third derivative of r(k). Find the third derivative of i(u) wrt u.
960*u**3
Let f(n) = -n**2 - 2*n + 3. Let y be f(4). Let o = -17 - y. Differentiate c**o - 2 + c**4 - c**4 + 6*c**4 wrt c.
28*c**3
Let d(u) = -u**2 + 2. Let p be d(0). Differentiate 10*q**p - q**2 - 2 + 15 wrt q.
18*q
Let t(h) = -h**2 + 7*h + 8. Let n be t(8). Suppose 2*g + g - 42 = n. Find the first derivative of -7 + 0 + 5*z**4 + g wrt z.
20*z**3
Let z(q) be the third derivative of 7/20*q**5 + 0*q**3 + 17*q**2 + 0 - 5/8*q**4 + 0*q. Find the second derivative of z(v) wrt v.
42
Let s(p) = -185*p**2 - 16*p - 257. Let t(x) = -62*x**2 - 6*x - 86. Let n(y) = -3*s(y) + 8*t(y). Differentiate n(z) with respect to z.
118*z
Differentiate -23*r**3 + 11*r**3 + 63 - 4*r**3 with respect to r.
-48*r**2
Let j(m) be the third derivative of 15*m**8/28 + 17*m**5/30 + m**4/12 - 3*m**2 - 3. What is the third derivative of j(r) wrt r?
10800*r**2
Let g(k) be the second derivative of k**4/2 - k**3/3 - 107*k**2/2 - k + 205. Find the first derivative of g(x) wrt x.
12*x - 2
Let d(m) = -367*m**4 + 8*m - 14. Let j(b) = -366*b**4 + 8*b - 13. Let q(u) = 6*d(u) - 7*j(u). Find the second derivative of q(i) wrt i.
4320*i**2
Let d(c) = 249*c**6 - 8*c**3 + 25*c**2 - 4. Let v(p) = -83*p**6 + 3*p**3 - 8*p**2 + 1. Let l(b) = -3*d(b) - 8*v(b). What is the third derivative of l(n) wrt n?
-9960*n**3
Suppose 2*w - 9 - 11 = 0. Find the second derivative of 5*p**5 + 15*p + 3*p**5 - w*p**5 wrt p.
-40*p**3
Let p be ((-5)/20)/((-1)/12). Suppose 11 = 4*x + p. Differentiate 20*w**4 - 25*w**4 - x*w + 2*w + 1 wrt w.
-20*w**3
Let v = 11 - 15. Let m(y) = 3*y**2 + 6. Let t(n) = 4*n**2 - 25 - 2*n**2 + 31. Let c(r) = v*m(r) + 5*t(r). Find the first derivative of c(d) wrt d.
-4*d
Let o(s) be the second derivative of -24*s**5/5 - 5*s**3/6 - 3*s**2 - 2*s - 34. Find the second derivative of o(a) wrt a.
-576*a
Let j be 2*(-3 + 14/4). Suppose c + j = 3. Find the third derivative of -4 + 3*s**3 + s**c + 1 + 3 wrt s.
18
Suppose 0*l + 5*l = 0. Suppose l = -8*x + 3*x + 20. Find the third derivative of -w**2 + 11*w - 10*w - 5*w**x - w wrt w.
-120*w
Let r(a) = 4*a**3 + 5*a**2 + 6. Let k(j) = -j**3 - j**2 - 1. Let b be -1 - -5 - 10/2. Let s(y) = b*r(y) - 6*k(y). Find the third derivative of s(u) wrt u.
12
Let j(w) be the first derivative of -26*w**6 + w**5/5 + 4*w**3/3 - 83*w**2/2 - 526. Find the third derivative of j(a) wrt a.
-9360*a**2 + 24*a
What is the second derivative of 29*q + 70*q + 24*q**4 - 88*q**4 wrt q?
-768*q**2
Let h(g) be the first derivative of 8*g**5/5 - 11*g**3/3 + 75*g - 132. Differentiate h(t) with respect to t.
32*t**3 - 22*t
What is the third derivative of -6*y + 4*y + 2*y**6 + 5*y**5 - 57*y**6 - 5*y**5 - 58*y**2 wrt y?
-6600*y**3
Let a be (3 + -5)*(-2 - 0). Suppose 3*p + 0*p - 2*s = 6, -3*p + 5*s - 3 = 0. Find the second derivative of 9 + 4*v - 6 - 3 - a*v**p wrt v.
-48*v**2
Let p(g) be the third derivative of 19*g**7/10 + 10*g**4 + 2*g**2 - 108*g. Find the second derivative of p(r) wrt r.
4788*r**2
Let h(m) be the third derivative of 221*m**6/120 + 19*m**5/60 + 5*m**4/24 + 113*m**2. What is the third derivative of h(b) wrt b?
1326
Let z be 3/6*((-6)/(-3) - 0). Let x be (-2 + 2)/1 - 8. Let y(o) = -4*o + 10. Let n(t) = 1. Let d(s) = x*n(s) + z*y(s). Find the first derivative of d(j) wrt j.
-4
Let b = -144 - -154. Differentiate -b*l - 5*l + 59*l + 36 with respect to l.
44
Let c(m) = -m**5 - 44*m**3 - 3*m**2 - 10*m + 3. Let n(a) = -a**3 - a**2 + a + 1. Let l(i) = -c(i) + 3*n(i). Find the second derivative of l(x) wrt x.
20*x**3 + 246*x
Suppose -a - 2 = 2*c - 13, 2*c - 5*a + 19 = 0. Differentiate 94*r**c - 13*r**4 - 46 - 94*r**3 with respect to r.
-52*r**3
Let h(t) = 3*t**2 + 19. Let n(w) = -9*w**2 - 58. Let l be -3 - -1*1 - (12 - -3). Let v(y) = l*h(y) - 6*n(y). What is the first derivative of v(z) wrt z?
6*z
Let s(h) be the second derivative of 25*h**3/6 + h**2/2 - 83*h. Differentiate s(m) wrt m.
25
Let m(d) = -37*d**2 - 5. Let x = 75 + -82. Let w(f) = 36*f**2 + 4. Let n(p) = x*w(p) - 6*m(p). What is the first derivative of n(j) wrt j?
-60*j
Find the second derivative of 2*l + 18 + 151*l**2 - 15 + 5 wrt l.
302
Let f(w) = -7*w**3 + 20*w**2 - 23*w - 94. Let x(d) = 6*d**3 - 16*d**2 + 22*d + 93. Let l(t) = -4*f(t) - 5*x(t). What is the first derivative of l(k) wrt k?
-6*k**2 - 18
Let i(w) = w**3 - 7*w**2 + 2*w - 9. Let f be i(7). Let q be 7/2 - (-8)/16. What is the second derivative of 31*o**3 - 31*o**3 + f*o**q - 6*o wrt o?
60*o**2
What is the third derivative of -155*q**5 + q**5 - 981*q**2 - 52*q**5 - 981*q**2 + 1954*q**2 + q wrt q?
-12360*q**2
Let v(h) = 2*h**2 - 16*h + 5. Let a be 60/7 + 24/(-42). Let m be v(a). What is the third derivative of -5*k**5 - 6*k**5 - 6*k**2 + 6*k**5 + 0*k**m wrt k?
-300*k**2
What is the second derivative of 0*d**2 - 227*d - 644*d + 11*d**2 - 12*d**2 - 161*d**3 - 3*d**2 wrt d?
-966*d - 8
Let d(y) be the first derivative of -605*y**4/4 - 214*y + 114. What is the derivative of d(t) wrt t?
-1815*t**2
Let g(r) be the third derivative of -93*r**6/40 + 191*r**5/60 + 29*r**2. What is the third derivative of g(j) wrt j?
-1674
Let r(o) be the second derivative of o**7/3 + o**5/4 - 11*o**3/6 - 3*o**2/2 - 5*o + 3. Find the second derivative of r(h) wrt h.
280*h**3 + 30*h
Let l(h) be the second derivative of 8/3*h**3 - 7*h + 0 + 23/2*h**2. Differentiate l(s) wrt s.
16
Suppose -28 = -4*q - 0. What is the third derivative of 3*i**2 - 7 - 11*i**2 + q + 5*i**4 wrt i?
120*i
Let u(q) = 176*q**2 - 3*q - 157. Let z(d) = 3*d**2 - d + 1. Let p(l) = u(l) - 3*z(l). Find the first derivative of p(c) wrt c.
334*c
Let l(q) be the second derivative of 3*q**3/2 + 5*q**2/2 - 9*q. Let z be l(6). Find the third derivative of v**5 + z*v**4 + 11*v**2 - 59*v**4 wrt v.
60*v**2
Let p = 22 - 16. Let j(l) = l - 14. Let u be j(19). What is the third derivative of 4*i**2 + p*i**5 - 12*i**u + 0*i**5 wrt i?
-360*i**2
What is the third derivative of -61*l**2 - 42*l**3 - 31*l**3 + 22*l**3 wrt l?
-306
Let q(p) = p**3 + 6*p**2 - 2*p - 9. Let z be q(-6). What is the third derivative of z*s**2 + 17*s**4 + s**3 - s**3 - 12*s**4 wrt s?
120*s
Let l(k) = k - 1. Let c be l(4). Find the second derivative of -3*m**3 + 84*m**4 + 7*m - 91*m**4 + 3*m**c wrt m.
-84*m**2
Let p = 3 + 2. Suppose x = 4*z - 8, p*z - 13 + 3 = 2*x. Find the third derivative of -3*j**z + 255*j - 4*j**4 - 255*j wrt j.
-96*j
Let w(c) be the first derivative of 10*c**3/3 - 5*c**2 - 2. Let h(n) = -n. Let x(k) = 5*h(k) + w(k). What is the second derivative of x(d) wrt d?
20
Let v(k) = 648*k**3 + 44*k - 439. Let w(x) = 324*x**3 + 24*x - 220. Let l(z) = 6*v(z) - 11*w(z). Differentiate l(f) with respect to f.
972*f**2
Find the second derivative of -2*f - 4*f - 2*f**5 + 14*f**5 + 2*f + 26 + 50*f**4 - 48*f**4 wrt f.
240*f**3 + 24*f**2
Let m(n) = 8*n**6 - 3*n**4 + 26*n**2 + 1. Let f(z) = -17*z**6 + 6*z**4 - 51*z**2 - 2. Let k(u) = 4*f(u) + 7*m(u). Find the third derivative of k(l) wrt l.
-1440*l**3 + 72*l
Find the third derivative of -159*t**2 + 66 + 28 - 2