8. Find the first derivative of x(i) wrt i.
-387*i**2
Let q(j) be the first derivative of -28*j**3/3 - 46*j + 23. Differentiate q(w) with respect to w.
-56*w
Let j(c) be the third derivative of -9*c**5/20 + 25*c**4/12 - 2*c**2 + 53. Find the second derivative of j(o) wrt o.
-54
Let x = 46 + -76. Let r = 30 + x. What is the first derivative of r*a + 0*a + 5 + 9*a**2 wrt a?
18*a
Let w(i) be the third derivative of i**8/336 - 13*i**6/60 - 31*i**4/24 - 47*i**2 + 2*i. Find the second derivative of w(h) wrt h.
20*h**3 - 156*h
Let q(s) be the second derivative of 0*s**3 - 5/3*s**4 + 35*s + 0*s**2 + 0 + 3/2*s**6 + 0*s**5. What is the third derivative of q(j) wrt j?
1080*j
Let c(t) be the third derivative of -t**10/75600 + 19*t**6/720 - 2*t**5/15 + 13*t**2. Let j(s) be the third derivative of c(s). Differentiate j(o) wrt o.
-8*o**3
Suppose 3*p = -3*k + 12, 3*p = -5*k - 0*p + 20. Find the second derivative of 18*a + 21*a**k + 2*a**4 - a + 5*a wrt a.
276*a**2
Let p = -3 + -17. Let q be (-22)/(-5) + 8/p. Find the second derivative of 41*h**q + 3*h + 5*h - 50*h**4 wrt h.
-108*h**2
Let u be 5/(-2)*138/(-115) - -2. Differentiate 4*q**3 + u + 15 - q**3 + 5 with respect to q.
9*q**2
Let i(q) = -q**2 - 4*q + 14. Let m be i(-6). Let t be (2/m)/(12/48). What is the second derivative of -171 + 2*o**t + 171 + 5*o wrt o?
24*o**2
Let p(z) = z**2. Suppose -2*o - 11 = -l, 7*l - 5*o = 4*l + 30. Let w(j) = 10*j**2 + 12*j. Let a(t) = l*p(t) - w(t). What is the second derivative of a(y) wrt y?
-10
Find the third derivative of 23*g**2 - 49*g**2 + 0 + 30*g**2 - 4 - 79*g**6 wrt g.
-9480*g**3
Let o(k) be the second derivative of -451*k**6/30 - 197*k**3/6 + 53*k. What is the second derivative of o(u) wrt u?
-5412*u**2
Let v(p) = -161*p**5 - 2*p**2 - 27*p + 8. Let z(f) = -321*f**5 - 5*f**2 - 55*f + 17. Let k(c) = 5*v(c) - 2*z(c). What is the second derivative of k(t) wrt t?
-3260*t**3
What is the third derivative of -71808*w**4 - w**2 - 273 + 3*w**2 + 72297*w**4 wrt w?
11736*w
Let h(u) be the first derivative of 4 - u**2 - 11/4*u**4 + 0*u**3 + 0*u. What is the second derivative of h(z) wrt z?
-66*z
Let t(i) be the third derivative of i**8/84 - i**6/40 + i**4/24 + 19*i**3/6 + 4*i**2 - 2. Find the second derivative of t(g) wrt g.
80*g**3 - 18*g
Let j be 141/13 - 6/(-39). Let z = 11 - j. Differentiate 3 - 9*h**2 + z*h**2 - 3*h + 3*h wrt h.
-18*h
Let c = 8611/6 + -1434. Let v(q) be the first derivative of 0*q**2 + 0*q**4 + c*q**6 + 0*q**5 + 0*q - 11 + 2*q**3. What is the third derivative of v(y) wrt y?
420*y**2
Let b(q) be the first derivative of -15 + 0*q + q**4 - 1/3*q**3 + 0*q**2. Find the third derivative of b(z) wrt z.
24
Let l(f) = -f**2 + 2*f + 3. Let u be l(-3). Let x be (-32)/u - 16/(-12). Differentiate -7 + 7*j**4 - x*j**4 - j**4 + j**4 with respect to j.
12*j**3
Let j(d) = d**2 - 9*d - 10. Let a be j(10). Suppose a*t - 7 = -t. Find the second derivative of l + 3*l + t*l**3 + 2*l wrt l.
42*l
Let l(z) = -17*z - 25. Let y(u) be the third derivative of 17*u**4/8 + 37*u**3/3 - u**2. Let p(j) = -11*l(j) - 4*y(j). What is the derivative of p(q) wrt q?
-17
Suppose 0 - 15 = -3*u. Let s(m) = 2*m**4 - 2*m - 5. Let t(v) = -2*v**4 + 3*v + 4. Let z(g) = u*t(g) + 4*s(g). Find the second derivative of z(f) wrt f.
-24*f**2
Let i(z) be the second derivative of 2*z**7/21 - z**5/2 + z**3/3 + 36*z**2 + 136*z. Find the second derivative of i(h) wrt h.
80*h**3 - 60*h
Suppose -5*i + 21 = -i - 3*b, 4*i - 5*b = 19. What is the second derivative of 15*q**2 - 16*q + i - 27*q**2 - 6 wrt q?
-24
Let g(s) = -2. Let d(v) = 6*v - 3. Let z(x) = -12*x + 6. Let b(i) = 5*d(i) + 3*z(i). Let a(c) = -2*b(c) - 6*g(c). Differentiate a(p) with respect to p.
12
Let c = 9 - 4. Let i be (-11)/(-55) + 19/c. What is the derivative of -2*j**4 - 2*j**4 + 5*j**i - 1 + 4*j**4 wrt j?
20*j**3
Let n(f) = 15*f**2 + 122*f + 235. Let y(q) = 8*q**2 + 62*q + 117. Let z(r) = -6*n(r) + 11*y(r). Differentiate z(i) wrt i.
-4*i - 50
What is the second derivative of 2446*s + 121*s**5 - 2519*s + 6*s**5 wrt s?
2540*s**3
Let g(k) = k**2 + 9*k - 10. Let s be g(-8). Let p = s - -22. What is the third derivative of 4*m**2 + 10*m**4 + 2*m**4 - 16*m**p wrt m?
-96*m
Differentiate -4 - 14 - c - 17 + 63*c wrt c.
62
Differentiate -40 + 255 + 242 + 59*t - 17 with respect to t.
59
Let x(r) be the second derivative of -19*r**8/6720 + r**7/280 + r**4/2 - 9*r. Let z(a) be the third derivative of x(a). Find the third derivative of z(b) wrt b.
-114
Suppose 0*k - 10 = -5*k. Suppose 1 = r - k. Find the third derivative of -4*w**2 + 2*w**2 + r*w**6 + w**6 wrt w.
480*w**3
Let s(m) be the first derivative of -11*m**7/7 + m**6/3 + 2*m**3/3 - 92*m + 280. What is the third derivative of s(q) wrt q?
-1320*q**3 + 120*q**2
Let f(i) = 97*i**2 - 9*i + 197. Let q(x) = -146*x**2 + 14*x - 295. Let u(t) = -8*f(t) - 5*q(t). What is the first derivative of u(h) wrt h?
-92*h + 2
Let i(z) be the second derivative of 1/20*z**5 - 2/3*z**4 - 18*z + 0 + 0*z**3 + 0*z**2. Find the third derivative of i(y) wrt y.
6
Let m = -83 + 99. What is the third derivative of -16*n**4 + 20*n**2 - m*n**4 + 7*n**4 wrt n?
-600*n
Differentiate 26*y**2 + 2*y**2 + 112*y**2 - 66 wrt y.
280*y
Suppose -5*r + j = -3*j + 26, -5*r - 2*j = 2. Let l be 0 - -8 - r/(-1). What is the third derivative of 6*s**2 - 5*s**2 + 2*s**l - 3*s**6 - 4*s**2 wrt s?
-120*s**3
Let j(u) be the first derivative of u**5/5 + 67*u**4/2 + 803*u**3/3 + 36. Find the third derivative of j(c) wrt c.
24*c + 804
Let d(c) be the third derivative of c**8/3 + 53*c**5/12 + 6*c**2 - 11*c. What is the third derivative of d(i) wrt i?
6720*i**2
Let z(t) be the first derivative of 2 - 3*t**2 - t**3 - 1/8*t**4 + 0*t. Let k(o) be the second derivative of z(o). Differentiate k(p) wrt p.
-3
Let l(o) be the second derivative of 11*o**8/336 + 7*o**5/60 - 6*o**2 - 13*o. Let g(v) be the first derivative of l(v). Find the third derivative of g(f) wrt f.
660*f**2
Let j = 65 - 79. Let q(d) = 45*d**2 + 76. Let l(w) = 15*w**2 + 25. Let s(a) = j*l(a) + 4*q(a). What is the derivative of s(p) wrt p?
-60*p
Suppose 0 = -i + 3*q + 7 + 9, -4*q - 19 = i. Let c be 9 - ((1 - -1) + i). Find the second derivative of 5*m + 2*m**3 + c*m**3 - 9*m**3 wrt m.
-6*m
Let u(z) be the first derivative of -z**7/6 + 3*z**4/2 - 17*z - 14. Let y(w) be the first derivative of u(w). What is the third derivative of y(q) wrt q?
-420*q**2
Let j(c) be the third derivative of c**7/21 - c**5/10 - 7*c**3/6 + 10*c**2. Let h(m) = -m**2. Let f(y) = -6*h(y) + j(y). What is the derivative of f(o) wrt o?
40*o**3
Let w(z) be the second derivative of -18*z - 1/2*z**2 + 0 + 35/12*z**4 - 3/2*z**3. What is the second derivative of w(r) wrt r?
70
Let c(k) be the first derivative of 94*k**3/3 + 63*k**2/2 + k + 27. What is the second derivative of c(z) wrt z?
188
Let q(i) be the first derivative of -4*i**5/5 - 22*i**3/3 - 167*i**2/2 + 181. Find the second derivative of q(r) wrt r.
-48*r**2 - 44
Suppose -w + 3*h - 12 = 0, 0 = -w - h + 6*h - 22. What is the third derivative of 0*n**3 + 18*n**2 - 19*n**w + 3*n**2 wrt n?
-114
Let f(s) be the second derivative of 54*s**7/7 + 114*s**3 - 130*s - 2. What is the second derivative of f(w) wrt w?
6480*w**3
What is the first derivative of -27389*y + 170 + 27969*y + 132 + 130 wrt y?
580
Let c be (84/(-8))/7*(-80)/6. Differentiate 1 - 19*y**3 + 6 + c with respect to y.
-57*y**2
Suppose 43*t - 42*t - 3 = 0. What is the first derivative of -4*i - 7 + t + 14 wrt i?
-4
Let y(s) = s**2 - 8*s + 7. Let z be y(7). Suppose 5*l + a - 74 = z, 5*l = a - 7 + 83. What is the second derivative of 15 - l + 5*c + 6*c**3 wrt c?
36*c
Let s(i) be the first derivative of -187*i**6/3 - 127*i**2/2 - 2*i + 201. What is the second derivative of s(p) wrt p?
-7480*p**3
Let p(f) be the second derivative of 0*f**3 - 1/2*f**4 + 0 + 38*f + 0*f**2 - 11/20*f**5. Find the third derivative of p(k) wrt k.
-66
Let g(u) be the second derivative of -197*u**7/14 + 13*u**4/12 + 5*u**2/2 - u + 96. What is the third derivative of g(t) wrt t?
-35460*t**2
Suppose 12*i = 5*i + 21. Suppose i*q - 5 - 1 = 0. What is the derivative of 12*s**2 + 4 - 25*s**2 - 6*s**4 + 13*s**q wrt s?
-24*s**3
Let v(o) be the second derivative of 262*o**6/15 + 234*o**2 - 289*o. Differentiate v(g) wrt g.
2096*g**3
Let p = 26 - 36. Let j(