07*w - 248. Let p(m) = 6*a(m) + 22*o(m). Differentiate p(y) with respect to y.
-276
Let t(y) = 113*y**3 - 107*y**2 - 3*y. Let n(a) = a**3 - a. Let k(c) = -3*n(c) + t(c). What is the third derivative of k(v) wrt v?
660
What is the first derivative of -407 - 63 + 1227*o**4 + 82 - 493*o**4 - 212 wrt o?
2936*o**3
Suppose 5 + 11 = 8*j. Find the third derivative of -11*d**5 - 4*d**5 + 12*d**j + 7*d**2 + d**5 wrt d.
-840*d**2
Let s(w) be the second derivative of 176*w**3/3 + 155*w**2 + w + 20. Find the first derivative of s(u) wrt u.
352
Let y(v) be the first derivative of 0*v**5 + 0*v + 13 + 0*v**3 + 0*v**4 - 5/6*v**6 + 35/2*v**2. What is the second derivative of y(r) wrt r?
-100*r**3
Find the second derivative of 28 - 12 - 3 - 106*h**3 + 37*h - 11 wrt h.
-636*h
Let g(l) be the second derivative of -l**7/21 - 29*l**5/5 + l**4/2 + 23*l**3/6 + 107*l - 1. Find the third derivative of g(z) wrt z.
-120*z**2 - 696
What is the derivative of -231*x**2 - 13 - 316*x**2 - 240*x**2 - 63*x**2 - 12 wrt x?
-1700*x
Let o(h) be the third derivative of -29*h**7/15 - 7*h**4/24 + 25*h**3/6 - 699*h**2. Find the second derivative of o(p) wrt p.
-4872*p**2
Let r be (-180)/(-50)*(-10)/(-3). What is the second derivative of 6 + 4*p - p**4 + r*p**4 - 6 wrt p?
132*p**2
Differentiate -14*w - 10*w**4 + w + 262 + 0*w - 8*w**4 with respect to w.
-72*w**3 - 13
Suppose 3*k + 20 = 2*z, 4*z - k = 4*k + 36. What is the second derivative of 8*m + 0*m**z - 4*m**4 + 8*m wrt m?
-48*m**2
What is the second derivative of j**5 - 85*j**4 + 22*j + 0*j**4 + 46*j wrt j?
20*j**3 - 1020*j**2
Let z(o) = 17*o**3 - 8*o**2 - 2*o + 212. Let s(d) = 17*d**3 - 6*d**2 - 3*d + 211. Let m(l) = -4*s(l) + 3*z(l). Differentiate m(p) with respect to p.
-51*p**2 + 6
Suppose -348 = -11*z - z. What is the first derivative of -z + 20*t - 5*t - 5*t + 18*t wrt t?
28
Let i(f) be the third derivative of -137*f**4/12 + 25*f**3/3 - 161*f**2 - f. Differentiate i(l) wrt l.
-274
Suppose 13*i + 6 = 14*i. What is the third derivative of 161*c**6 - 144*c**i - 4*c**2 - 5*c**2 wrt c?
2040*c**3
Let l(g) = -g**2 + 7*g + 4. Let q be l(6). Suppose b = -3*w - 2*b + 6, 2*b - q = -4*w. Find the first derivative of 82*m - w*m**4 - 7 - 82*m wrt m.
-12*m**3
Let w(f) be the first derivative of 18 + 5*f**3 + 0*f - 9/5*f**5 + 0*f**2 + 0*f**4. What is the third derivative of w(h) wrt h?
-216*h
Let b(r) = 21*r**2 + 22. Let p = 8 - 11. Let d(y) = 22*y**2 + 23. Let c(g) = p*d(g) + 2*b(g). Differentiate c(o) wrt o.
-48*o
Let n = 1747/4 - 436. Let o(l) be the second derivative of -1/20*l**5 + 0*l**2 + 0*l**3 - 8*l + 0 - n*l**4. What is the third derivative of o(p) wrt p?
-6
Let t be 4 + 0/(-4) + -1. Differentiate 13 + 1 + 9*h**t - 9*h**3 + 13*h**4 with respect to h.
52*h**3
Let g(y) be the first derivative of 135*y**4/4 - 5*y**2/2 + 5*y + 193. What is the second derivative of g(h) wrt h?
810*h
Let y(k) be the first derivative of -k**4/2 - 5*k**2/2 + 32*k + 2. Let b(v) be the first derivative of y(v). Differentiate b(h) with respect to h.
-12*h
Let l(m) = m**3 + 6*m**2 - m - 1. Suppose 5*f + 31 = -x + 2*x, 3*x - 33 = 5*f. Let n be l(f). What is the second derivative of 2*c - n*c**2 + 2*c + 2*c wrt c?
-10
Let i(d) be the second derivative of d**4/12 + 5*d**2/2 - 9*d. Let x be i(0). Find the second derivative of -4*w**3 - 3*w**3 - 6*w + 2*w**3 - x*w**3 wrt w.
-60*w
Differentiate -7*g**4 - 13*g**4 + g - 44*g**4 - 21*g**4 - 10*g**4 - 309 wrt g.
-380*g**3 + 1
Let a(t) be the second derivative of -185*t**3/6 + 107*t**2 + 184*t. Find the first derivative of a(g) wrt g.
-185
Let t(p) be the third derivative of -p**9/504 - p**8/84 + p**5/10 - 2*p**4/3 - 13*p**2 - 4*p. Find the third derivative of t(k) wrt k.
-120*k**3 - 240*k**2
Let x be (1/4)/(9 - 528/60). Let b(y) be the first derivative of 0*y + 1/3*y**3 + 0*y**2 - 3 + x*y**4. What is the third derivative of b(r) wrt r?
30
Suppose 9 - 12 = -v. Suppose 0 = 3*m - 3*p + 8*p - 24, v*m - 15 = -2*p. Find the third derivative of -g**2 - m*g**4 - 2*g**2 + 6*g**4 wrt g.
72*g
Suppose -3*j + 0*j + 75 = 4*k, -3*j = -3*k + 30. Let h = 20 - k. Differentiate 20 - 2 - 9 + h*l**4 wrt l.
20*l**3
Suppose -3*u - 5*o + 10 = -25, -6 = 2*u - 4*o. Find the third derivative of 3*f**5 + 6*f**5 - 20*f**u + 23*f**2 wrt f.
-660*f**2
Let h(p) be the second derivative of 0*p**3 - 11*p + 0*p**6 + 0*p**7 + 0*p**5 + 0*p**2 + 5/12*p**4 + 0 + 1/7*p**8. What is the third derivative of h(j) wrt j?
960*j**3
Let f = -69 + 77. Let w(u) = 26*u + 2. Let y(b) = 17*b + 1. Let v(i) = f*y(i) - 5*w(i). What is the first derivative of v(m) wrt m?
6
Let x(g) be the second derivative of -3*g**5/20 + 11*g**3/3 - 49*g**2/2 - 217*g. Differentiate x(z) with respect to z.
-9*z**2 + 22
Suppose -6*d + 78 = 66. Let q(i) be the second derivative of 0*i**5 - 3*i + 0 - 1/5*i**6 + 0*i**d - i**3 + 0*i**4. Find the second derivative of q(h) wrt h.
-72*h**2
Suppose 0 = f + 2*i - 2, 2*f - 3*i - 4 = 7. What is the first derivative of f - 7 + 10*x**2 - 10 - 4*x**2 wrt x?
12*x
What is the second derivative of -2*z**3 - 41*z + 3*z**3 - 8*z + 17*z - 5*z**4 wrt z?
-60*z**2 + 6*z
Suppose -10 = -5*p - 3*o, 4*o + 18 = 3*p - 17. Find the second derivative of -3*t**3 - 18*t**3 - 18*t + p*t**3 wrt t.
-96*t
Let l(d) be the second derivative of -3*d**7/2 - 2*d**4/3 - 25*d**3/6 - 289*d. Find the third derivative of l(s) wrt s.
-3780*s**2
Let j(y) = -200*y + 151. Let a(w) = -1610*w + 1209. Let s(h) = 6*a(h) - 51*j(h). Differentiate s(v) wrt v.
540
Let n(i) = -33*i + 1. Let d(r) = 70 + 17*r - 70. Let u(h) = 11*d(h) + 6*n(h). What is the derivative of u(j) wrt j?
-11
Let n(q) be the second derivative of 16*q**7/21 + q**4/3 + q**2 - 234*q. Find the third derivative of n(i) wrt i.
1920*i**2
Suppose 4*f + 4 = -5*g, -4*f + 0 = -2*g - 24. What is the second derivative of -18 - 41*c - f + 22 - 20*c**3 wrt c?
-120*c
Let f be (-16 + 14)*(-2)/2. Let u be ((-8)/f)/2 - -10. Find the third derivative of u*x**2 + 9*x**5 - 2*x**5 + 4*x**2 + x**5 wrt x.
480*x**2
Suppose -5*z = -4 - 6. Let u(y) be the second derivative of -y**3 - 10*y + 0*y**2 - y**2 + 4*y**z. What is the first derivative of u(n) wrt n?
-6
Find the first derivative of -51 + 527*m - 329 + 221 - 420 wrt m.
527
Let f(q) be the second derivative of -q**5/20 - 23*q**4/12 + 23*q**2/2 + 3*q - 15. Find the first derivative of f(z) wrt z.
-3*z**2 - 46*z
Let h = 2 - -2. Suppose -h*q + 13 = -3. Let k(y) = y - 4. Let b(i) = -i + 8. Let u(j) = q*b(j) + 7*k(j). What is the derivative of u(g) wrt g?
3
What is the third derivative of 8 - 3*s**3 - 64*s**3 + 29*s**2 - 30*s**2 + 8 wrt s?
-402
Let a(j) be the first derivative of -7 + 0*j - 5*j**3 + 9/2*j**2. Find the second derivative of a(p) wrt p.
-30
Let v(c) = 21*c**4 - 3*c**3 + 8*c - 364. Let w(n) = -21*n**4 + 4*n**3 - 9*n + 364. Let k(j) = -9*v(j) - 8*w(j). Differentiate k(i) wrt i.
-84*i**3 - 15*i**2
Let n(g) be the third derivative of -3*g**6/5 - 359*g**3/6 + 314*g**2 + 2. What is the first derivative of n(a) wrt a?
-216*a**2
Let y(i) be the second derivative of 17*i**6/10 - 3*i**4/2 + 2*i**2 - 32*i. What is the third derivative of y(w) wrt w?
1224*w
Let a be (3 - 0) + -1 - 0. Suppose 5*t + 3*m = 1, -2*t - a = -4*m - 18. What is the third derivative of -i**3 + 2*i**2 + 0*i**2 + 0*i**2 + i**t wrt i?
-6
Let b(c) = 8*c**2 + 37. Let q(o) = 7*o**2 + 37. Suppose 0 - 12 = 3*j. Let l(d) = j*q(d) + 5*b(d). Find the first derivative of l(y) wrt y.
24*y
Let d(t) = -t**2 - t + 2. Let h be d(0). Let c(f) = -f + 1. Let l be c(-2). What is the derivative of -2 + 5 + 5*m**l + 3 - h wrt m?
15*m**2
Suppose 223*f + 8 = 231*f. Let o = 37 - 22. Find the third derivative of f - o*u**3 + 3*u**2 + 22*u**3 - 1 wrt u.
42
Find the second derivative of -88*r**2 + 3 - 45*r**2 - 3 - 232*r - r**3 + 16*r wrt r.
-6*r - 266
Find the third derivative of -511*c**2 - 1823*c**3 - 1560*c**3 + 2858*c**3 wrt c.
-3150
Let m(k) = -3*k + 7. Let y be m(2). Find the third derivative of -1 + 27*b**4 - 55*b**4 + y + 33*b**2 wrt b.
-672*b
Let a(p) be the second derivative of 229*p**5/5 - 543*p**2/2 + 16*p + 2. What is the derivative of a(s) wrt s?
2748*s**2
Let f be 6/(-21) - (-10)/(-14). Let p be f/(-3) + (-336)/(-18). What is the third derivative of p*l**6 - 22*l**6 + 10*l**2 - l**2 wrt l?
-360*l**3
Let s be 0 + 2 + -5 + (-2 - -287). Differ