- 21. Let r = 204 + -210. Let k(l) = 155*l - 20. Let z(b) = r*k(b) + 5*f(b). Differentiate z(n) with respect to n.
-185
Suppose -4*g - 2 = 2*d + 4, -2*g = 5*d - 17. Suppose z = -3 + d. What is the first derivative of 5 + z*x - 3*x - 1 - x wrt x?
-2
Let u(s) = 2*s - 14. Let q be u(6). Let a be 48 + 0 + (-5 - q). What is the second derivative of -43*g**5 + a*g**5 - 7*g - 14*g wrt g?
40*g**3
Let i(x) be the first derivative of 529*x**6/2 - 19*x**3 - 2*x**2 + 3674. What is the third derivative of i(w) wrt w?
95220*w**2
Let j(b) = 8*b**2. Let k = 7 - 11. Let w(d) = 5*d**2 + 1 - d**2 - 13*d**2 - 8*d**2. Let u(y) = k*w(y) - 9*j(y). Differentiate u(o) with respect to o.
-8*o
Find the third derivative of -6 + 2 + 95*o + 80*o + 25*o**2 + 3324*o**3 - 183*o wrt o.
19944
Find the second derivative of 8769*s**2 + 494 - 17155*s**2 - 168 + 298 - 3*s wrt s.
-16772
Let v(u) be the second derivative of 3 + 1/2*u**2 + 3/2*u**3 + 15*u + 4*u**4. What is the second derivative of v(s) wrt s?
96
Let q(f) be the third derivative of 41/2*f**3 + 2*f - 25*f**2 + 0 - 5/6*f**4. Differentiate q(g) wrt g.
-20
Let v(y) = -48*y + 80. Let c(r) = 6*r + 1. Let a(w) = -5*w - 1. Let j(n) = -7*a(n) - 6*c(n). Let g(k) = -3*j(k) + v(k). Differentiate g(d) wrt d.
-45
Find the second derivative of -15547*y - 2*y**2 - 83*y**4 + 33 + 31137*y - 15571*y wrt y.
-996*y**2 - 4
Let o(b) be the third derivative of 4*b + 26/15*b**5 + 0 + 0*b**3 + 12*b**2 - 19/6*b**4. What is the second derivative of o(a) wrt a?
208
Let b be 2 + (-26)/(-12) + (-34)/204. Find the third derivative of -41*n**2 + 10*n**b + 15*n**5 - 110*n**2 - 21*n**5 + 4*n**5 wrt n.
-120*n**2 + 240*n
Let i(s) be the first derivative of 5/2*s**2 + 4*s - 9. Differentiate i(a) with respect to a.
5
Let j be (-10)/(-4)*4/(-10)*-35. Let w be (-160)/(-28) + (-2)/j*-5. Find the third derivative of -w*f**2 + 3*f**4 + f**4 - f**4 - 4*f**4 wrt f.
-24*f
Let u(a) = 18 + 14 + 16 - 5*a + 6. Let b be u(9). Find the third derivative of 15*v**4 - b*v**2 - 21*v**2 + 7*v**2 wrt v.
360*v
Let d(p) be the third derivative of 5*p**8/336 + 2*p**7/105 + 43*p**6/120 + 4871*p**4/24 + 3*p**2 - 120*p - 5. Find the second derivative of d(v) wrt v.
100*v**3 + 48*v**2 + 258*v
Let o be -3 - (3 - (-2 - -4)). Let m be (-7 - o)/(-2 + 3/6). Find the third derivative of 9*g**2 - 25*g**m - 21*g**2 - 23*g**5 wrt g.
-1380*g**2
Let i(l) = l**3 + 12*l**2 + 11*l + 2. Let a be 8/68 + (-378)/34. Let h be i(a). Differentiate 29 - 84*w + 84*w - 29*w**h wrt w.
-58*w
Let z(j) be the first derivative of -111/5*j**5 + 17/2*j**2 + 0*j + 0*j**3 - 96 + 0*j**4. Find the second derivative of z(w) wrt w.
-1332*w**2
Let r(h) = h**2 - 77*h + 1320. Let k be r(52). Let x(u) be the first derivative of 40/3*u**3 + 0*u + 5/2*u**2 + k. Find the second derivative of x(d) wrt d.
80
Let v(f) be the first derivative of 841*f**4/2 + 4*f**3/3 + 465*f + 2656. What is the third derivative of v(i) wrt i?
10092
Let t(q) = 10*q - 14. Let x be t(3). What is the third derivative of -11*k**2 - 24*k**4 - 18*k**2 - x*k**4 - 9*k**2 wrt k?
-960*k
Suppose -3*m + 51 = -0*m. Suppose 19 = 6*i - m. What is the third derivative of -10*g**5 + 5*g**5 - 4*g**2 - i*g**5 wrt g?
-660*g**2
Let t(v) be the third derivative of 161*v**4/8 + 2761*v**3/3 + 2586*v**2. What is the first derivative of t(j) wrt j?
483
Differentiate -2364 - 749*c**2 + 806 + 814 + 785 wrt c.
-1498*c
Let i = 321 + -319. Differentiate -55 - 12*y**2 - 12*y**i + 1 - 50*y**2 wrt y.
-148*y
Find the third derivative of 39*c**3 - 2*c**5 + 16157 + c**2 + 16*c**5 - 9267 - c**4 wrt c.
840*c**2 - 24*c + 234
Suppose 17*p - 16 = 137. What is the derivative of 209 - 16*s - 7*s + 55*s - p*s + 125*s wrt s?
148
Let r(y) = 29*y**2 + 2*y - 93. Let t(o) = -2*o - 3*o - 67 - 6*o**2 + 255 - 54*o**2. Let x(k) = -5*r(k) - 2*t(k). Find the first derivative of x(h) wrt h.
-50*h
What is the third derivative of 98*i - 4717*i**6 - 187*i + 89*i + 2352*i**2 wrt i?
-566040*i**3
Let i = 60 + -54. Suppose -60 = -4*d - i*d. Find the third derivative of -21*o**2 - 5*o**d - 15*o**6 + 9*o**2 wrt o.
-2400*o**3
Let g(l) = -48*l**3 - 10*l**2 - 3*l - 134. Let k(x) = 48*x**3 + 12*x**2 + 2*x + 134. Let j(h) = -2*g(h) - 3*k(h). Find the first derivative of j(w) wrt w.
-144*w**2 - 32*w
Let l(v) be the second derivative of 79/20*v**5 - 3/2*v**2 - 23/12*v**4 - 46*v + 0*v**3 + 0. Find the third derivative of l(t) wrt t.
474
Let c = 131 + -118. What is the third derivative of 6 - c + 35*i**2 - 66*i**3 + 7 wrt i?
-396
What is the second derivative of -59*k + 6*k**4 - 678*k**5 + 524*k + 6*k**4 - 6*k**4 - 8*k**4 wrt k?
-13560*k**3 - 24*k**2
Let h(s) = 268*s**2 + 305*s + 12. Let t(d) = 267*d**2 + 302*d + 10. Let c(i) = 5*h(i) - 6*t(i). What is the second derivative of c(z) wrt z?
-524
Let l(w) be the second derivative of 103/12*w**4 + 0*w**2 + 0 - 107/20*w**5 - 4*w + 0*w**3. Find the third derivative of l(r) wrt r.
-642
Let r(b) = 6906*b - 2525. Let z(x) = -7*x. Let u(y) = -r(y) - 6*z(y). What is the derivative of u(m) wrt m?
-6864
Let h(r) = 2536*r**3 + 35*r**2 + r - 272. Let y(n) = -1269*n**3 - 14*n**2 - n + 136. Let x(k) = -2*h(k) - 5*y(k). What is the second derivative of x(a) wrt a?
7638*a
What is the third derivative of -1781 - 2*d**2 - 7609*d**5 - 394*d**2 + 1786 wrt d?
-456540*d**2
Let t(y) = 7871*y**2 - 152*y - 15174. Let l(i) = -1312*i**2 + 24*i + 2529. Let f(v) = 19*l(v) + 3*t(v). What is the first derivative of f(j) wrt j?
-2630*j
Let x(t) be the second derivative of 2581*t**4/6 + t**3/6 + 96*t**2 - 2*t - 2698. Find the second derivative of x(u) wrt u.
10324
Let j(t) = 2160*t**4 + 11*t**3 + 11*t - 1024. Let r(d) = 1620*d**4 + 8*d**3 + 8*d - 768. Let n(p) = 8*j(p) - 11*r(p). Find the first derivative of n(k) wrt k.
-2160*k**3
Let u(g) be the second derivative of 1107*g**8/14 - 1042*g**4/3 + 25*g - 51. Find the third derivative of u(q) wrt q.
531360*q**3
Let x(j) be the third derivative of 0*j**3 + 3 - 191/120*j**6 - 1/30*j**5 + 0*j + 11*j**2 - 11/6*j**4. What is the third derivative of x(v) wrt v?
-1146
Let u(c) = -c**2 + c + 1. Let v be (3/(-2))/(18/(-8) - -3). Let b(y) = -4*y**2 - 53. Let a(o) = v*u(o) + 2*b(o). What is the first derivative of a(q) wrt q?
-12*q - 2
Let m be ((-1)/(-2))/(((-186)/(-180))/31). What is the first derivative of -401*d**2 + 401*d**2 + 61*d**3 - m - 21 wrt d?
183*d**2
Let b be (-1 + -4)/(17 - 16). Let o(w) = -12*w + 40 + 9*w + 15*w. Let y(u) = 14*u + 40. Let l(t) = b*y(t) + 6*o(t). Differentiate l(j) wrt j.
2
Suppose -h + 42*z = 41*z, 0 = -h - 4*z + 20. Let k be (20/(-2))/((-1)/2). What is the derivative of 4*w**4 + 6 - k*w**h + 11 wrt w?
-64*w**3
Let z(v) be the first derivative of 1858*v**3/3 + 6*v**2 - 4*v - 1115. Find the second derivative of z(x) wrt x.
3716
Let i(v) be the second derivative of 2*v + v**2 + 133/10*v**5 + 52/3*v**3 + 0*v**4 - 134. Find the second derivative of i(a) wrt a.
1596*a
Let l(h) be the first derivative of -4*h**3/3 + 3*h**2/2 + 1061*h - 413. Differentiate l(j) with respect to j.
-8*j + 3
Let v(j) be the second derivative of 3*j**4/2 - 5*j**3 - 34*j**2 + 39*j - 2. Let t(r) be the first derivative of v(r). Differentiate t(w) with respect to w.
36
Let g(p) be the second derivative of 4*p**7/7 - 2*p**6/15 + p**5/10 + p**4/6 + 3487*p**3/6 + 2670*p. What is the third derivative of g(h) wrt h?
1440*h**2 - 96*h + 12
Let q(t) = t**2 + 22*t + 23. Let z be q(-1). Find the second derivative of 103*v**2 + 15*v**3 - 213*v**2 - z*v**3 - 243*v + 103*v**2 wrt v.
78*v - 14
Let d = 116611/21864 - 1/7288. Let g(h) be the first derivative of -13*h + 0*h**2 - 2 + d*h**3. What is the first derivative of g(v) wrt v?
32*v
Differentiate 4*u**2 - 4*u**2 + 6*u**3 + 57 + 249*u - 7*u**3 - 296*u wrt u.
-3*u**2 - 47
Let c be ((-136)/(-16))/((-4)/(-8)). Differentiate 477*g + 12 + c*g**2 - 477*g wrt g.
34*g
Find the third derivative of 144 - 7*p**2 + 88 + 431 - 1511*p**3 - 116 + 9*p**2 wrt p.
-9066
Let z(a) be the first derivative of 77*a**5/120 - 43*a**4/12 + 20*a**3 + 106. Let s(m) be the third derivative of z(m). Differentiate s(n) wrt n.
77
Let p = -14 - -30. Suppose 20*s - 92 = p*s. What is the first derivative of 5 + s + 232*j - 260*j wrt j?
-28
Let f(y) = 113*y**4 - 264*y. Let d(h) = -57*h**4 + 131*h. Let s = -71 + 67. Let w(n) = s*f(n) - 9*d(n). Find the second deri