+ 20. Let t(x) be the second derivative of w(x). Differentiate t(r) with respect to r.
164*r**3
Let s be ((-2)/2)/((-2)/4). Find the third derivative of -8*u**3 - 5*u**2 + 2*u**3 - 10*u**3 - 9*u**s wrt u.
-96
Differentiate 28*o**2 - 99*o**2 + 8*o**4 + o + 37*o**2 + 34*o**2 + 269 wrt o.
32*o**3 + 1
Let a be (4 + 15/(-24))/(30/40). Let s(n) be the first derivative of 11 - 11/3*n**3 + 0*n + a*n**2. What is the second derivative of s(g) wrt g?
-22
Let y(o) be the third derivative of -8*o**5/5 - 5*o**4/8 - 23*o**2. What is the second derivative of y(w) wrt w?
-192
Let y(g) = 14*g**2 - 2*g - 1. Let v be y(-1). Suppose 0 = 2*b - 2, 3*f + 3*b - v = -0*f. What is the derivative of 0*w**4 - 5 - f*w**4 + w**4 - 2*w**4 wrt w?
-20*w**3
Let b(k) be the second derivative of 307*k**4/12 - 2*k**3/3 - 25*k**2 + 3*k + 40. Find the second derivative of b(i) wrt i.
614
Let h(q) = 548*q**3 + 17*q - 274. Let i(v) = 183*v**3 + 6*v - 92. Let m(a) = 6*h(a) - 17*i(a). Differentiate m(p) with respect to p.
531*p**2
Let w(b) = b**2 + 17*b - 18. Let x be w(-18). What is the second derivative of 5*o**2 - 15*o + x*o**2 + 8*o**2 wrt o?
26
Let b = 7 - 4. Let f = b - 1. What is the second derivative of 0*p**f + 9*p - p**2 - 6*p wrt p?
-2
Let v(o) be the second derivative of -45*o**8/56 - o**6/10 - o**4/2 - 8*o - 28. What is the third derivative of v(r) wrt r?
-5400*r**3 - 72*r
Let p(x) = 88*x**4 + 3*x**3 + 2*x**2 - 375. Let k(z) = -89*z**4 - 4*z**3 - 2*z**2 + 375. Let w(y) = -3*k(y) - 4*p(y). Differentiate w(s) wrt s.
-340*s**3 - 4*s
Suppose 5*d - 4*x - 15 = -5*x, 5*x + 25 = 0. Find the first derivative of 2*t**d + 6 + 9 - 14*t**4 + 5 wrt t.
-48*t**3
Find the third derivative of -20*l**2 + 55 + 46 + 228*l**6 - 101 wrt l.
27360*l**3
Let c(s) be the third derivative of -29*s**5/30 - 431*s**4/24 - 356*s**2. What is the second derivative of c(w) wrt w?
-116
Let n = 7 - -8. What is the first derivative of -i - n*i + 19*i + 10 - 19*i wrt i?
-16
Let h = -2 + -11. Let w = h - -18. Differentiate -3 + 4 - w*o**3 + 9 + 2*o**3 with respect to o.
-9*o**2
Let t(m) = -m + 9. Let w be t(-6). Suppose 3*j + 2*h - 13 = 15, -w = -j + 5*h. Find the third derivative of -9*z**2 + 3*z**3 - j*z**2 + 13*z**2 wrt z.
18
Let j(g) = 0*g - 7*g + 2*g + 56 - 12*g. Let w(m) = m + 1. Let k(a) = j(a) - 3*w(a). Differentiate k(q) with respect to q.
-20
Let d(r) be the second derivative of -17*r**4/2 - 103*r**2 - r - 7. Differentiate d(v) with respect to v.
-204*v
Let f(d) = 61*d**6 - 3*d**4 + 9*d**2 - 13. Let h(n) = 62*n**6 - 4*n**4 + 9*n**2 - 14. Let s(x) = 4*f(x) - 3*h(x). Find the third derivative of s(m) wrt m.
6960*m**3
Let g(j) = 592*j**2 + 812*j - 32. Let o(v) = 91*v**2 + 125*v - 5. Let p(r) = -5*g(r) + 32*o(r). What is the second derivative of p(q) wrt q?
-96
Let h(x) = 2*x - 17. Let o be h(10). Suppose 4*a + 2*u - 8 = 0, 2*a + 5*u + 2 = 3*a. What is the third derivative of -2*r**2 + 0*r**a + 2*r**4 - o*r**2 wrt r?
48*r
Let w(m) be the third derivative of m**6/15 - 3*m**5/20 - 36*m**3 + 10*m**2 + 23. What is the derivative of w(v) wrt v?
24*v**2 - 18*v
Let a(q) = -2*q**3 + 2*q**2 + 224*q - 155. Let w(c) = -4*c**3 + 3*c**2 + 225*c - 152. Let b(g) = -3*a(g) + 2*w(g). Differentiate b(v) with respect to v.
-6*v**2 - 222
Suppose 24 = -c + 2. Let j = -17 - c. What is the third derivative of -8*d**j - d**2 - 9*d**2 - d**5 + 3*d**5 wrt d?
-360*d**2
Let n(v) = -9*v**3 - 4*v - 2. Let d(j) = -19*j**3 - 7*j - 3. Suppose -31*w + 27*w = 16. Let r(a) = w*d(a) + 7*n(a). What is the first derivative of r(c) wrt c?
39*c**2
Find the second derivative of 41*a**4 - 60*a + 43*a + 43*a + 13*a wrt a.
492*a**2
Suppose 4*q = 3*w + 12, 5*w = -2*q + q + 26. What is the first derivative of q - p**4 + 10 + 9*p**4 wrt p?
32*p**3
Let i(c) be the first derivative of 4*c**5/5 + 53*c**4/4 + 2*c**3/3 + 14*c**2 + 150. Find the third derivative of i(x) wrt x.
96*x + 318
Let b be ((-6)/9)/(4/39)*-2. What is the derivative of -13*f**2 + 20*f**2 - 7 + b*f**2 - 8 wrt f?
40*f
Let z be (-72)/90 + (-48)/(-10). What is the second derivative of 78*s**2 - 46*s**z - 11*s + 15*s - 78*s**2 wrt s?
-552*s**2
Let z be ((-2)/(-5))/((-9)/(-45)). What is the derivative of -4*t**4 + 8 + 24*t**z - 24*t**2 wrt t?
-16*t**3
Let f(t) be the third derivative of -t**7/210 - 11*t**6/60 + 3*t**5/5 + 15*t**2. What is the third derivative of f(q) wrt q?
-24*q - 132
What is the second derivative of 227*d**4 - 8*d - 3 + 64*d + 0*d + 2 - 7*d wrt d?
2724*d**2
Let v(i) be the second derivative of 9*i**3/2 + 425*i**2/2 + 34*i - 2. Differentiate v(l) wrt l.
27
Let w(t) be the second derivative of -t**5 + t**4/6 - 55*t**3/6 + t**2/2 + 23*t + 2. What is the second derivative of w(g) wrt g?
-120*g + 4
Let k(u) = -u**4 - u**3 - u**2 - u. Let o(r) = 18*r**4 + 17*r**3 + 17*r**2 + 16*r - 66. Let q(z) = -102*k(z) - 6*o(z). What is the derivative of q(i) wrt i?
-24*i**3 + 6
Let l(k) be the second derivative of k**8/168 + k**4/12 - 7*k**3/6 - 9*k. Let i(t) be the second derivative of l(t). What is the derivative of i(b) wrt b?
40*b**3
Let j(a) = 29*a**3 + 6*a**2 + 32*a. Let f(r) = r**3 + r**2 + r. Let s(c) = 2*f(c) + j(c). What is the second derivative of s(u) wrt u?
186*u + 16
What is the derivative of -4*j + 81 + 268 - 368*j**2 + 4*j wrt j?
-736*j
What is the first derivative of 52 + 43 + 22*s**4 - 4 - 32 wrt s?
88*s**3
Suppose 112*l = 107*l + 15. Let y(h) be the third derivative of 5/6*h**l + 0 - 5*h**2 + 1/12*h**4 + 0*h. Differentiate y(q) with respect to q.
2
Let w(d) be the first derivative of 39*d**7/7 - d**6/6 - 3*d**3 + 29*d**2/2 - 75. What is the third derivative of w(l) wrt l?
4680*l**3 - 60*l**2
Find the third derivative of 32138*m + 176*m**2 + 195*m**6 - 32138*m wrt m.
23400*m**3
Let m be (-4)/(0 - 4/(-6)). Let a be (m/(-8))/((-2)/(-8)). What is the second derivative of -3*q + 7*q**3 + 3*q**3 - 5*q**a wrt q?
30*q
Let l(b) = 255*b**4 - 3*b**2 + 3*b - 13. Let p(j) = 511*j**4 - 7*j**2 + 5*j - 28. Let z(h) = -7*l(h) + 3*p(h). Find the second derivative of z(a) wrt a.
-3024*a**2
Let h(f) be the second derivative of 3*f**2 + 0*f**3 + 0 - 19*f + 17/12*f**4. Find the first derivative of h(v) wrt v.
34*v
Let t be (2/4)/((-3)/(-24)). Find the third derivative of -4*c**2 + 8*c**t - 7*c**2 - 17*c**3 + 17*c**3 wrt c.
192*c
Let d be 98/(-112) - (-2)/(-16). Let i(g) = 2*g**2 - 4*g + 6. Let t(n) = n. Let q(y) = d*i(y) - 4*t(y). Find the first derivative of q(s) wrt s.
-4*s
Let w(s) be the third derivative of s**8/112 + s**6/10 - s**5/12 + s**3/3 - 7*s**2 - 2. Find the third derivative of w(j) wrt j.
180*j**2 + 72
Let w(g) = g**3 + 7*g**2 + 7*g. Let l be w(-6). Let n be (3 + 0)/(l/(-8)). What is the second derivative of -15*u + 8*u - u**2 + n*u**2 wrt u?
6
Let b(t) be the first derivative of -691*t**5/5 + 22*t**2 - 9*t + 177. What is the second derivative of b(n) wrt n?
-8292*n**2
Differentiate -17 - 10 - 26 + 1 - 88*m wrt m.
-88
Suppose 0 = -5*t - 108 - 42. Let a be (-175)/t - 1/(-6). Find the second derivative of 32*x**2 + 2*x + a*x - 31*x**2 - 3*x wrt x.
2
Let u(p) = p**2 + 7*p + 18. Let v be u(-9). What is the first derivative of 1501*r + v - 1501*r + 38*r**4 wrt r?
152*r**3
Suppose 3*z + 30 = 2*w - 2*z, w - 25 = 5*z. What is the third derivative of -27*o**2 + 0*o**w + 12*o**5 + 18*o**2 - 3*o**5 wrt o?
540*o**2
Let z(j) be the third derivative of 0*j**4 - 3/40*j**6 + 0 - 23*j**2 - 1/10*j**5 + 0*j**3 + 0*j. What is the third derivative of z(s) wrt s?
-54
Find the third derivative of 572*i**4 + 622*i**4 + 564*i**4 - 389*i**2 - 1472*i**4 - 117*i**2 wrt i.
6864*i
Let y(h) be the second derivative of -h**8/48 + h**4/3 - 9*h**2/2 - 12*h. Let b(w) be the first derivative of y(w). What is the second derivative of b(k) wrt k?
-140*k**3
Find the third derivative of 93*j**3 - 311*j**2 - 97*j**3 + 304*j**3 wrt j.
1800
Let l = 139 + -118. Differentiate 2 + l*a**4 - 4 - 9 + 3*a**4 wrt a.
96*a**3
Let n(r) be the third derivative of 2*r**7/35 - 3*r**5/20 + 89*r**4/24 + 2*r**2 - 30*r. What is the second derivative of n(c) wrt c?
144*c**2 - 18
Let p(m) be the second derivative of -m**5/30 + 3*m**3/2 + 7*m**2 + 6*m. Let d(z) be the first derivative of p(z). What is the first derivative of d(j) wrt j?
-4*j
Let x(a) be the third derivative of -521*a**7/210 - 793*a**3/6 - 13*a**2 + 8*a. Differentiate x(b) w