Let s = 0 + -4. Let x be v(s). Differentiate -3 + 11*z**3 + z**2 - z**x - 3*z**3 with respect to z.
24*z**2
Let t(n) = 39*n**3 - 9. Let m(f) = -11. Let y(i) = 5. Let s(x) = 6*m(x) + 13*y(x). Let o(b) = 2*s(b) - t(b). Differentiate o(l) wrt l.
-117*l**2
Let p be -3 - ((-10 - -3) + -1). Find the third derivative of 3*d**2 - 2*d**2 - p*d**6 - 2*d**2 - 2*d**2 wrt d.
-600*d**3
What is the derivative of 50 + 47 - 437*a**3 + 17 - 4 - 11 wrt a?
-1311*a**2
Let p(g) = 7*g - 9. Let d be p(3). Find the third derivative of -d*o**2 + o**5 + 0*o**2 + 0*o**2 wrt o.
60*o**2
Let b(h) be the second derivative of 19*h**7/70 - 2*h**3/3 - 22*h**2 - 6*h - 3. Let n(f) be the first derivative of b(f). Differentiate n(s) wrt s.
228*s**3
Let d(r) be the second derivative of r**3 + r**2/2 + 4*r. Let l(s) = 13*s + 3. Let u(m) = -5*d(m) + 3*l(m). Differentiate u(k) with respect to k.
9
Let h(d) = 45*d**3 - 2*d**2 - 5*d - 504. Let a(m) = 48*m**3 - 2*m**2 - 4*m - 505. Let g(j) = 5*a(j) - 4*h(j). What is the derivative of g(c) wrt c?
180*c**2 - 4*c
Let a = 10 + -7. Suppose b - 12 = -a*b. Find the second derivative of b*t + 5*t**2 - t - 2*t - 2*t wrt t.
10
Let j(v) = -157*v**2 - 15*v - 493. Let t(c) = c**2 - 4*c - 2. Let o(b) = -j(b) + 4*t(b). What is the second derivative of o(m) wrt m?
322
Let s(a) = 2*a**3 + 8*a**2 - 10*a + 4. Let x be s(-5). What is the second derivative of 3 + 1 + 10*h**4 + 39*h - x wrt h?
120*h**2
Suppose -20 = 34*c - 35*c. What is the third derivative of -c*s**2 - 10 + 10 + 23*s**4 - 5*s**4 wrt s?
432*s
Let u(m) = -15*m - 18. Let s be u(-8). What is the third derivative of s*l**3 - 48*l**3 - 2*l**2 - 53*l**3 wrt l?
6
Let h = 42 + 8. Let r be -5*(-5)/(h/4). Find the second derivative of 0*l + 10*l**4 - 6*l + 2*l**3 - r*l**3 wrt l.
120*l**2
Differentiate 18*b**2 - 147*b + 147*b + 90 + 276*b**4 - 18*b**2 with respect to b.
1104*b**3
Let i(s) be the first derivative of -393*s**2 - 43*s - 188. Find the first derivative of i(w) wrt w.
-786
Let a(l) be the first derivative of -879*l**4/4 - 28*l**3/3 + l + 537. Find the third derivative of a(v) wrt v.
-5274
Suppose -4*z + 4*g - 6*g + 20 = 0, -g - 5 = -3*z. Find the third derivative of -3*v**3 - 2*v**z + 8*v**2 - 2*v**2 + 2*v**2 wrt v.
-30
Let m(a) be the first derivative of -101*a**3/3 + 61*a**2/2 - 98. What is the second derivative of m(p) wrt p?
-202
Suppose 5*j + 19 = u, 0 = -4*u - 4*j - 0 + 4. Let b(g) = g + 5. Let x be b(5). Differentiate 2 - 11*q + x*q - u with respect to q.
-1
Suppose -11*f = -7 - 4. Let j(b) be the first derivative of 1/2*b**2 + f + 0*b + 2/3*b**3. Find the second derivative of j(y) wrt y.
4
Let x(i) be the first derivative of -25*i**3 + i**2/2 + 492*i - 915. Find the first derivative of x(z) wrt z.
-150*z + 1
Let j(k) = -352*k**2 - 5*k + 19. Let q(d) = 352*d**2 + 4*d - 18. Let b(r) = -4*j(r) - 5*q(r). Differentiate b(h) with respect to h.
-704*h
Find the second derivative of -y + 47*y**3 - 15*y**3 - 221*y**3 - 127*y**3 + 7 wrt y.
-1896*y
Find the second derivative of 83*i - 48*i**2 - 10*i**2 - 7*i**2 - 40*i**2 + 13*i**2 wrt i.
-184
Let v(n) be the third derivative of -19*n**5/120 + n**4/4 + 4*n**3/3 - 12*n**2. Let p(g) be the first derivative of v(g). What is the derivative of p(z) wrt z?
-19
Let i(c) be the second derivative of c**6/30 + 7*c**4/24 + c**3/6 - 3*c. Let a(j) be the second derivative of i(j). Differentiate a(f) with respect to f.
24*f
Suppose -3*a - 8 = 5*a. Let h(g) = -g**2 - g - 1. Let c(f) = 41*f**4 + 5*f**2 + 5*f + 31. Let d(z) = a*c(z) - 5*h(z). What is the derivative of d(k) wrt k?
-164*k**3
Let p(m) = -5*m**2 + 11*m + 2. Suppose 5*k - 7*k = -2. Let f(g) = g**2 - g - 1. Let n(c) = k*p(c) + 2*f(c). What is the second derivative of n(v) wrt v?
-6
Suppose 5*m - 3*y = -214, m - y + 6*y = -54. Let h be (m/12 + 4)*6. Differentiate 43*z**2 + 41*z**2 - 7*z**4 - 84*z**2 + h with respect to z.
-28*z**3
Find the first derivative of -5*b**2 + 3*b - 2*b - 20*b**2 + 26 + 9*b**2 wrt b.
-32*b + 1
Let u(x) = x**2 - x + 1. Let i(w) = -w**4 + 16*w**3 + 6*w**2 - 18*w + 3. Let g(r) = -i(r) + 3*u(r). Find the third derivative of g(s) wrt s.
24*s - 96
Let b = -47 - -91. Let c be 8/(-20) + b/10. What is the third derivative of 10*r**6 + 4 - 18*r**2 - c + 11*r**2 wrt r?
1200*r**3
Find the second derivative of -8150*j**2 + 115 + 8150*j**2 + 531*j**4 - 2*j wrt j.
6372*j**2
Let s(u) = -19*u + 171. Let b be s(9). Let c(d) be the first derivative of b*d**3 + 0*d + 3 - 1/2*d**2 - 3/2*d**4. Find the second derivative of c(h) wrt h.
-36*h
Find the second derivative of -23*b + 25*b - 11 + 7*b**2 - 2*b**2 + 3*b**3 + 28 + 18*b**2 wrt b.
18*b + 46
Differentiate 19 - 26*o**2 + 27 - 32 - 65*o**2 with respect to o.
-182*o
What is the third derivative of -27*m**5 - 51*m**3 + 33*m**2 + 25*m**5 - 8*m**2 wrt m?
-120*m**2 - 306
Let j = -97 - -101. Let q(c) be the first derivative of -c**2 + j + 0*c + 0*c**3 - 5/4*c**4. What is the second derivative of q(x) wrt x?
-30*x
Suppose -107 = -4*r + 93. Find the third derivative of -36*h**5 - r*h**5 + 12*h**2 + 59*h**5 wrt h.
-1620*h**2
Let h(g) be the third derivative of 3*g**8/112 + g**7/105 + g**5/60 - g**3/6 + 30*g**2. Find the third derivative of h(b) wrt b.
540*b**2 + 48*b
Let l(r) = r**6 + r**5 - r**2 + r - 1. Let j(q) = 131*q**6 - 6*q**5 + 10*q**2 + 22*q + 6. Let s(n) = j(n) + 6*l(n). Find the third derivative of s(f) wrt f.
16440*f**3
Find the first derivative of v**4 - 11 + 7*v**4 - 44 wrt v.
32*v**3
Let a(x) = -5*x**5 + x**4 + 5*x**3 + 92*x**2 + 5*x - 5. Let v(q) = q**3 + q**2 + q - 1. Let s(w) = a(w) - 5*v(w). Find the third derivative of s(i) wrt i.
-300*i**2 + 24*i
Find the third derivative of 3*q**3 - 571*q**2 - 620*q**2 - 220*q**4 - 3*q**3 + 1338*q**2 wrt q.
-5280*q
Let r(f) be the third derivative of 11/60*f**5 + 0*f**3 + 0 + 15*f**2 + 0*f + 5/12*f**4. What is the second derivative of r(x) wrt x?
22
Find the third derivative of 3 - 63*o**3 - 173*o**2 - 13*o**3 + 76*o**3 - o**4 - 11*o**6 wrt o.
-1320*o**3 - 24*o
Suppose 2*g + 4*a = 16 + 4, -4*a - 4 = 0. Differentiate 5*o**4 + 7*o**4 + 9*o**4 - g - 6*o**4 with respect to o.
60*o**3
Let j(l) = l. Let g(u) = -7*u**2. Let w = -43 + 49. Let p(s) = w*j(s) + g(s). What is the second derivative of p(k) wrt k?
-14
Let y(l) = -665*l**3 - 57*l**2 - 5*l + 10. Let i(m) = -667*m**3 - 57*m**2 - 4*m + 8. Let j(d) = -5*i(d) + 4*y(d). Find the third derivative of j(n) wrt n.
4050
Find the first derivative of 203*s**4 - 288*s**4 - 24 + 3 wrt s.
-340*s**3
Let m(o) be the second derivative of -o**7/42 - 139*o**5/20 - 499*o**4/12 - 338*o. What is the third derivative of m(w) wrt w?
-60*w**2 - 834
Suppose 4*o - 23 = 1. What is the derivative of 13 + 0*n**2 - 6 + 14 + o*n**2 wrt n?
12*n
Let x(u) = -37*u**3 + 21*u**2 - 5*u + 23. Let z(b) = 19*b**3 - 12*b**2 + 3*b - 12. Let a(w) = -4*x(w) - 7*z(w). What is the second derivative of a(l) wrt l?
90*l
What is the third derivative of 10*l**2 + 41*l**6 + 69*l**2 - 66*l**6 - 71*l**6 wrt l?
-11520*l**3
Let j(f) = -f**2 + 8*f - 9. Let v be j(6). Let c be (18/(-42) - (-46)/42)*3. Find the second derivative of -c*r**3 + r**3 + 0*r**v + 7*r - r**3 wrt r.
-12*r
Let k be 2 - -377 - (5 - 6). Find the second derivative of -4*d**2 + 0*d**2 + k*d - 377*d wrt d.
-8
Let v(d) be the third derivative of 137*d**8/336 + 11*d**4/24 + 2*d**3/3 - 209*d**2. What is the second derivative of v(i) wrt i?
2740*i**3
Let i = 12 - 8. What is the third derivative of -15*r**2 - 20*r**4 + 11*r**2 - 12*r**4 + 5*r**i wrt r?
-648*r
Let f be (12/10)/((-2)/(-5)). Suppose r = -0*r + f. Differentiate 9 - 24 + 11 - r*p with respect to p.
-3
Let z(a) be the second derivative of a**8/28 - 11*a**6/30 + 16*a**4/3 + a**3/2 + 67*a. Find the third derivative of z(o) wrt o.
240*o**3 - 264*o
Let h be (4 - 51/15)*5. What is the first derivative of 9*v**4 + 2*v**2 - 5*v**2 + 6 + h*v**2 wrt v?
36*v**3
Let q(d) be the second derivative of -176*d**7/21 + 53*d**3/6 + d**2 - 2*d - 47. Find the second derivative of q(f) wrt f.
-7040*f**3
Let d(h) be the third derivative of 0*h + 11/24*h**4 + 0*h**6 + 0*h**5 + 0 + 0*h**7 + 1/28*h**8 + 0*h**3 + 11*h**2. Find the second derivative of d(t) wrt t.
240*t**3
Let b(g) be the first derivative of -19*g**7 + 94*g**3/3 + 115. Find the third derivative of b(d) wrt d.
-15960*d**3
Let u = -1165 + 116