8. Let j(p) = -23*p**2 + 46*p + 1578. Let a(d) = 4*j(d) - 5*z(d). What is the derivative of a(i) wrt i?
-24*i - 41
Let l = -133 + 406. What is the first derivative of 0*r**3 - 4*r**3 + l - 4*r**3 - 428 - 9*r**3 wrt r?
-51*r**2
Suppose w + 2*d + 5 = 26, 2*w - 44 = -5*d. What is the derivative of 52*q**3 - 21 - 11 - w*q**2 + 16*q**2 + 1 wrt q?
156*q**2 - 2*q
Let y(a) = -4416*a**2 + 186*a + 379. Let s(k) = -2208*k**2 + 111*k + 189. Let u(t) = 5*s(t) - 3*y(t). Differentiate u(c) with respect to c.
4416*c - 3
Let x(l) be the first derivative of 302*l**6/3 - l**4/2 - 1015*l**3/3 - l**2/2 + 1896. What is the third derivative of x(b) wrt b?
36240*b**2 - 12
Let w(h) = 2*h + 9. Let v(a) = -1508*a + 1498. Let s(t) = v(t) - 3*w(t). What is the derivative of s(u) wrt u?
-1514
Let w(o) be the first derivative of 1/2*o**6 + 0*o**4 + 12 + 0*o**3 - 7/2*o**2 - 3*o - 9/5*o**5. What is the second derivative of w(p) wrt p?
60*p**3 - 108*p**2
What is the derivative of 2412*a + 2982*a - 8700*a + 7773 wrt a?
-3306
Let n(y) = y**3 + 18*y**2 + 31*y - 13. Let s be n(-16). Find the first derivative of -190*t - 182*t + 372*t + 30 + 44*t**s wrt t.
132*t**2
Let x(y) = -2*y - 2. Let l(n) = 222*n + 475. Let v(p) = l(p) - 2*x(p). Find the first derivative of v(w) wrt w.
226
Let x = -3163 + 3166. Let q(u) be the second derivative of 0*u**x + 3/2*u**4 - u**2 + 0 - u. What is the derivative of q(s) wrt s?
36*s
What is the first derivative of -381*h**4 - 333*h**4 - 1588 - 30*h + 30*h wrt h?
-2856*h**3
Let p(s) be the first derivative of 13*s**4/2 + 45*s**3 - 5*s**2 - 2*s + 197. Let j(r) be the second derivative of p(r). What is the derivative of j(g) wrt g?
156
What is the third derivative of -72*s**6 - 385*s**6 + 1565*s**2 + 109*s**6 - 271*s**6 - 3*s**4 wrt s?
-74280*s**3 - 72*s
Let b(h) = 3*h**2 - 18*h + 3. Let j be b(6). What is the third derivative of 1 + 7 + 6 - 112*l**2 - 16*l**j - 14 wrt l?
-96
Let b(l) be the first derivative of 667*l**4/4 + 1001*l**3/3 - 1580. What is the third derivative of b(u) wrt u?
4002
Find the third derivative of 41*f**5 + 3 + 4*f**5 + 8016*f**6 - 8014*f**6 - 2*f - 403*f**2 wrt f.
240*f**3 + 2700*f**2
Let i(x) = 2757*x**3 - 6*x**2 + 3*x + 1277. Let g(v) = 5511*v**3 - 14*v**2 + 7*v + 2555. Let r(l) = 3*g(l) - 7*i(l). Find the first derivative of r(o) wrt o.
-8298*o**2
Let c(b) be the first derivative of 8*b**5 - 87*b**4/4 - 268*b**2 - 5567. Find the second derivative of c(w) wrt w.
480*w**2 - 522*w
Let b(a) = a**3 + 8*a**2 + 11*a - 8. Let h be b(-6). Let m be (-3 + h - -14) + -5. Find the second derivative of 13*r**2 - r - 13*r**2 - 11*r - 47*r**m wrt r.
-564*r**2
Let w(u) = -u**2 - 7*u + 62. Let b be w(5). Let d be (2 + (-9)/2)*-2. What is the second derivative of -46*t**5 + 10*t - b*t + 38*t**d wrt t?
-160*t**3
Let l(o) be the second derivative of 67*o**7/7 + o**5/20 - o**3/6 - 541*o**2 + 9*o - 51. Find the second derivative of l(k) wrt k.
8040*k**3 + 6*k
Let s(t) = 3*t - 31. Let n be s(11). Differentiate 3*l**n - 7*l**3 - 36 - 30 + 6 + 2*l**2 wrt l.
-21*l**2 + 10*l
Let p(k) be the third derivative of 71*k**2 + 0 - 1/24*k**4 + 0*k**3 + 0*k + 0*k**6 + 1/5*k**7 + 1/30*k**5. What is the third derivative of p(w) wrt w?
1008*w
Suppose 14 + 12 = 3*i + a, 2*i - 23 = 5*a. Suppose 3*x = i*x - 24. Differentiate 24*g**4 - 4*g**4 - 14 - 8*g**x with respect to g.
48*g**3
Let j(i) be the first derivative of -8*i**7/105 - i**4/8 + 58*i**3/3 + 15. Let x(g) be the third derivative of j(g). Find the first derivative of x(p) wrt p.
-192*p**2
Suppose 2*f - 2*n + 69 = 81, -3*f + 10 = n. Let o(h) be the second derivative of 0 - 2*h**2 - 8*h + 0*h**3 - 7/12*h**f. Find the first derivative of o(i) wrt i.
-14*i
Let k(t) be the third derivative of -13*t**4/3 - 13*t**3/2 - 15*t**2 - 2*t. Let h(y) = -1. Let d(i) = 4*h(i) - k(i). Differentiate d(r) wrt r.
104
Suppose 613*f - 613*f = -a, f - 4*a = 5. Let u = 7 + 3. What is the second derivative of -n**4 + n**4 - 52*n**5 + u*n**f - 24*n wrt n?
-840*n**3
Let f be (21/(-2))/(-7) + 5/2. What is the second derivative of -5*i**4 + 7*i**5 - 4*i**4 + 2*i**f + 2*i**4 + 6*i**4 + 132*i wrt i?
140*i**3 + 12*i**2
Suppose -2*j = -w - 42, j = -0*j - 4*w + 12. Let l = -20 + j. Differentiate 8 + l*p**4 - 5*p**4 + 7 - 1 with respect to p.
-20*p**3
Let f(r) = 636*r**2 + 15*r + 12195. Let n(k) = -634*k**2 - 12*k - 12186. Let a(x) = 4*f(x) + 5*n(x). Differentiate a(l) with respect to l.
-1252*l
Let s(i) be the third derivative of 2777*i**5/30 - 1223*i**4/4 - 6*i**2 + 38. Find the second derivative of s(p) wrt p.
11108
Let b(q) = 6760*q + 4410. Let n(k) = -6732*k - 4410. Let d(z) = -4*b(z) - 5*n(z). Find the first derivative of d(i) wrt i.
6620
Let f(d) be the first derivative of 53*d**4/4 - 2290*d - 2175. What is the derivative of f(q) wrt q?
159*q**2
Find the third derivative of -94*h**3 + 34*h + 44 - 92 + h**5 + 48 - 3*h**2 - 7*h**5 wrt h.
-360*h**2 - 564
Let n(b) be the first derivative of 2129*b**3/3 + 4086*b + 2186. Differentiate n(k) with respect to k.
4258*k
Let v(b) = b**3 - 8*b**2 + 6*b + 11. Let o be v(7). Find the first derivative of -8*g**2 + 14*g**2 - 77 + 7*g - o*g**2 + 8*g wrt g.
4*g + 15
Find the third derivative of 463*n - 252*n**3 + 252*n**3 + 4*n**2 - 129*n**5 - 6*n**2 wrt n.
-7740*n**2
Let q(v) = -v**2 - 7*v + 32. Let m be q(3). Find the second derivative of 4*f + 12*f**4 + m*f - 3*f - 1 + f wrt f.
144*f**2
Suppose -7*m + 4*m + 24 = 0. Suppose 14*g - 18*g + m = 0. What is the first derivative of -16*s**g - 10*s**3 - 12*s**2 + 28*s**2 + 34 wrt s?
-30*s**2
Let m = -36 - -61. Suppose 8*d = 3*d - m, 4*g = -4*d + 80. What is the first derivative of g - 11 - 4*b**3 - 18 wrt b?
-12*b**2
What is the derivative of 64*n - 44861 + 28*n**2 - 19*n**2 + 51789 + 22*n**2 wrt n?
62*n + 64
Let o(n) = 15*n**4 + 6*n**3 - n**2 - 26*n - 6. Let g(c) = -6*c - 12 + 5*c + 13 - c**3. Let z(q) = -6*g(q) - o(q). Find the third derivative of z(p) wrt p.
-360*p
Let q(z) be the first derivative of -14*z**6/15 - 8*z**2 + 105*z + 45. Let u(v) be the first derivative of q(v). Differentiate u(t) wrt t.
-112*t**3
Let k(m) = -8*m - 118. Let p be k(-15). What is the second derivative of -4*z + 15*z - 62*z**p + 12*z wrt z?
-124
Suppose 4*o = -0*o + 116. Let q(p) = 129*p + 2713. Let w be q(-21). Find the first derivative of o*k**w + 1689 - 1671 + 0*k**4 wrt k.
116*k**3
What is the derivative of -282 + 420*g**4 - 1188*g**4 - 123 + 29*g**4 wrt g?
-2956*g**3
What is the third derivative of 3*z + 4613*z**5 + 1393*z**2 - 1152*z**2 - z + 0*z wrt z?
276780*z**2
Let z = -125 - -133. What is the third derivative of 5*p - 80*p**4 - z*p - p - 3*p**2 wrt p?
-1920*p
Find the second derivative of 383*n**3 + 12 + 5 + 2*n**2 - 55*n - 5*n + 42*n**3 - 13 wrt n.
2550*n + 4
Let l(r) = -2*r**3 + 3*r**2 - 2*r. Let h be l(2). Let i be h/14*(-210)/20. Find the third derivative of -26*s**2 + 10*s**6 + s**i - 4*s**6 wrt s.
840*s**3
Let m(n) be the third derivative of -29*n**8/48 + n**6/60 - 959*n**5/5 - 5353*n**2. What is the third derivative of m(j) wrt j?
-12180*j**2 + 12
Suppose 2*s + 2 = 6, 2*f = -5*s + 20. What is the third derivative of -11217*a + 22*a**3 - 2*a**f + 76*a**2 + 11217*a wrt a?
-120*a**2 + 132
Suppose 10*h + 25 = 85. What is the derivative of h*l**3 - 127 - 19*l + 0*l**3 + 6*l wrt l?
18*l**2 - 13
What is the second derivative of 466*r**5 + 457*r**5 + 554*r - 952*r**5 - 63*r**4 wrt r?
-580*r**3 - 756*r**2
Let c(g) = -11*g**2 - 2*g - 94. Let p(b) = 3*b + 23*b**2 + 0*b + 92 + 95. Let m(j) = 5*c(j) + 2*p(j). Differentiate m(h) with respect to h.
-18*h - 4
Let v(t) be the second derivative of 1559*t**4/12 + t**3/3 + 811*t**2 + 4783*t. Find the second derivative of v(z) wrt z.
3118
Let t = -103 - -125. Let w be t + (-3)/(9/15). Differentiate 13*h**2 + 24*h**2 - 6*h**2 - w + 5 with respect to h.
62*h
Let b(x) = 395*x**4 - 8*x**2 + 1698. Let a(r) = 264*r**4 - 5*r**2 + 1132. Let y(z) = 8*a(z) - 5*b(z). Differentiate y(m) with respect to m.
548*m**3
Let o(z) be the third derivative of -z**8/112 + 81*z**7/35 - 613*z**4/6 - 2*z**2 + 21*z. What is the second derivative of o(s) wrt s?
-60*s**3 + 5832*s**2
Let c(j) be the second derivative of -10*j**7/21 + 11*j**6/30 - j**4/12 - 2*j**3/3 - 453*j**2 - 12949*j. What is the second derivative of c(u) wrt u?
-400*u**3 + 132*u**2 - 2
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