. Let v(i) = -14*i**2 + 16*i - 34. Let a = 73 - 68. Let t(m) = a*v(m) - 16*q(m). Find the first derivative of t(p) wrt p.
20*p
Let c be 4/(-14) + 44/7 + -1. What is the second derivative of 8*m - 5*m + 6*m**c - 21*m wrt m?
120*m**3
Let y be 4/42 + -15 + (-3550)/(-210). Let p(v) be the first derivative of 9 + 0*v**3 - 7/4*v**4 + 3*v + 0*v**y. What is the derivative of p(k) wrt k?
-21*k**2
Let o(z) be the first derivative of 2*z**5 + 5*z**4/4 - 10*z**3 - 88. Find the third derivative of o(b) wrt b.
240*b + 30
Let q(d) be the third derivative of -7/20*d**5 + 28*d**2 + 0 + 0*d**4 + 0*d**6 + 0*d**3 + 5/112*d**8 + 0*d + 0*d**7. Find the third derivative of q(g) wrt g.
900*g**2
Suppose -17 = -4*t + 3*x, 3*x - 38 = -5*t - 10. Find the third derivative of -13*f**t + 5*f**2 - 5*f**2 - 6*f**2 + 0*f**2 wrt f.
-780*f**2
Let m(y) = -79*y**3 - 15*y**2 - 10*y - 7. Let n(p) = 78*p**3 + 16*p**2 + 8*p + 7. Let d(l) = -4*m(l) - 5*n(l). What is the third derivative of d(h) wrt h?
-444
Let g(p) be the second derivative of 39*p**3/2 + 62*p**2 - 149*p. What is the derivative of g(d) wrt d?
117
Let u(x) be the first derivative of 3*x**5/10 - x**3/6 + 3*x**2/2 - 14. Let g(o) be the second derivative of u(o). Find the first derivative of g(l) wrt l.
36*l
Let q(b) be the first derivative of b**5/5 - 13*b**4/4 + b**2 + 37*b - 17. Find the second derivative of q(h) wrt h.
12*h**2 - 78*h
Let c be 0 + (7 - (1 - -2)). Let i be 35/(-14)*c/(-5). Differentiate 2*r**4 - i*r**4 - 2 + 0 + 4*r**4 wrt r.
16*r**3
Let s(z) = z**3 - 16*z**2 + 16*z - 13. Let b be s(15). Find the second derivative of n**2 - 6*n**3 - n**b - 11*n + 18*n**3 wrt n.
72*n
Let x(w) = 7*w**4 + w + 2. Let s(k) = 1 - 7*k**4 - 5*k - 4 + 3*k. Let l(a) = -2*s(a) - 3*x(a). Find the second derivative of l(d) wrt d.
-84*d**2
Suppose q + 6 + 5 = 0. Let g = q + 13. What is the third derivative of -4*y**4 + 13*y**g + 6*y**4 - 6*y**2 wrt y?
48*y
Let c be (117/(-15))/(1/(-5)) - 2. What is the second derivative of -c*x**5 - 5*x**3 + 5*x**3 - 14*x + x wrt x?
-740*x**3
Suppose 0 = -46*i + 40*i + 78. Find the first derivative of 0 - 20*c**4 - i*c**4 - 9 wrt c.
-132*c**3
Let t(m) be the third derivative of 9*m**6/40 + m**3/6 - 27*m**2. What is the derivative of t(l) wrt l?
81*l**2
Let h(c) be the first derivative of -39/2*c**2 + 8 + 0*c**4 + 0*c**5 + 0*c - 3/2*c**6 + 0*c**3. What is the second derivative of h(u) wrt u?
-180*u**3
Let j(x) = -x**3 + 12*x**2 + 6. Suppose -4*t + 9 + 39 = 0. Let d be j(t). Differentiate -3 - d*b**3 + 10 + 0*b**3 wrt b.
-18*b**2
Let i(j) = 87*j**2 + 35*j + 20. Let x(f) = -f + 4. Let k(t) = 3*i(t) - 15*x(t). Find the second derivative of k(w) wrt w.
522
Let z(t) be the second derivative of -18*t - 11/6*t**3 + 0 + 6*t**2. Find the first derivative of z(k) wrt k.
-11
Let a(n) = -n + 8. Let m be a(6). Let h be (-9)/(-12) + 10/8. What is the third derivative of 3*u**m - u**3 + u**2 - 7*u**2 - h*u**2 wrt u?
-6
Let v(s) be the third derivative of 46*s**5/15 - 140*s**3/3 - 5*s**2 - 66*s. Differentiate v(z) with respect to z.
368*z
Let d(p) = -7*p**2 + 19*p + 2. Let m be 1 + 1 + (0 - 0). Let v(z) = 15*z**2 - 39*z - 5. Let i(u) = m*v(u) + 5*d(u). Find the second derivative of i(l) wrt l.
-10
Let s(c) be the third derivative of 0*c**6 + 0 - 7*c**2 - 1/2*c**4 + 0*c**3 + 11/105*c**7 + 0*c + 0*c**5. Find the second derivative of s(k) wrt k.
264*k**2
Let a(c) = -c**2 - 8*c - 3. Let s = 11 - 18. Let x be a(s). Find the second derivative of -x*f**3 + 153*f - 143*f - f**3 wrt f.
-30*f
Let f be 9 - ((-4)/18 - (-76)/18). Find the second derivative of -13*z**f + 153 - 4*z**5 + 29*z - 8*z**5 - 151 wrt z.
-500*z**3
Let z(g) be the first derivative of -14 + 0*g**2 - 7/3*g**3 + 4*g**4 + 0*g. Find the third derivative of z(h) wrt h.
96
Let r be (-15)/(-10)*1/((-6)/(-352)). Find the third derivative of -5*a**2 - r*a**4 + 67*a**4 - 20*a**2 wrt a.
-504*a
Let n be 60 - 57 - 5/2. Let f(h) be the first derivative of 0*h**2 + 0*h + n*h**4 - 2*h**3 - 5. What is the third derivative of f(j) wrt j?
12
What is the first derivative of 34*r**3 - 109*r**3 + 8*r**2 - 14*r**2 - 62 + 7*r**2 - 10 wrt r?
-225*r**2 + 2*r
Let w(o) be the first derivative of -94*o**3/3 + 25*o**2 + 21. Find the second derivative of w(u) wrt u.
-188
Let n be (9/(-4))/(6/(-48)). Suppose 0 = 3*y - n + 3. Find the third derivative of 5*b**2 - 5*b**y - b**5 + 10*b**5 + 2*b**5 wrt b.
360*b**2
Let o = 4 + -3. Suppose 3*y - 4 = -o. Let v(z) = z. Let q(d) = 9*d - 5. Let t(w) = y*q(w) - 4*v(w). Differentiate t(m) wrt m.
5
Let b(c) be the third derivative of -c**6/60 + 343*c**5/60 - c**4/8 + 17*c**3/6 + 312*c**2 + 2*c. Find the second derivative of b(f) wrt f.
-12*f + 686
Let s(a) be the second derivative of -9/2*a**2 + 0 + a**3 + 4*a. Find the first derivative of s(u) wrt u.
6
Let c(r) = -6*r + 1. Let s be (-2)/(-8) - (-27)/(-12). Let y(f) = 7*f - 3*f - 1 + f. Let q(z) = s*c(z) - 3*y(z). What is the first derivative of q(p) wrt p?
-3
Let l(r) = 2*r**4 + 2*r**3 + 2*r**2 - 29*r - 62. Let v(t) = 2*t**4 + 3*t**3 + 3*t**2 - 30*t - 61. Let i(q) = -3*l(q) + 2*v(q). Differentiate i(c) wrt c.
-8*c**3 + 27
Let k(w) be the third derivative of -4*w**9/63 - 3*w**7/70 + 709*w**5/60 - 732*w**2. What is the third derivative of k(i) wrt i?
-3840*i**3 - 216*i
Suppose 12*j + 7*j = 38. Let q(c) be the first derivative of 0*c + 2 + 5/3*c**3 + c**j. Find the second derivative of q(m) wrt m.
10
Let j(x) be the third derivative of -x**9/630 - x**6/144 + x**4/4 - 8*x**2. Let r(w) be the second derivative of j(w). Find the second derivative of r(b) wrt b.
-288*b**2
Let g(y) be the second derivative of y**5/10 + y**4/4 + 55*y**3/2 + 8*y + 7. What is the second derivative of g(a) wrt a?
12*a + 6
Let g(d) be the first derivative of 5*d**8/42 + 8*d**5/15 - 16*d**2 - 22. Let v(l) be the second derivative of g(l). Find the third derivative of v(r) wrt r.
2400*r**2
Suppose 5*w - 21 = -11. What is the derivative of -13 + 3*g + w*g + 9*g wrt g?
14
Let t(p) = -p**3 - 2*p**2 - p + 1. Let l be t(-2). Find the third derivative of -494*h**3 + 494*h**l + 5*h**2 - 3*h**5 wrt h.
-180*h**2
Find the second derivative of 4 - 14*h - 2*h - 133*h**2 - 137*h**2 wrt h.
-540
Let z(i) = -i + 2. Let q be z(3). Let j be ((-9)/((-3)/(-1)))/q. What is the derivative of -5 - 7 - 3*t**j + 4 + 0*t**3 wrt t?
-9*t**2
Let i be (2 - (6 - 1))*(2 + -3). Find the second derivative of i*h - h + 2*h**2 + 9*h + 8*h**2 wrt h.
20
Let a be (-438)/(-14) - 14/49 - 2. What is the derivative of -111 - 4*c**3 + 117 + a*c**3 wrt c?
75*c**2
Find the first derivative of -26298*r - 41 + 26220*r - 19 wrt r.
-78
Let x(c) = -9*c - 21. Let k(d) = 13*d + 31. Let m(n) = -5*k(n) - 7*x(n). Let s(l) = 1. Let j(i) = 3*m(i) + 21*s(i). What is the derivative of j(h) wrt h?
-6
What is the derivative of 188 - 23*d**3 - 7551*d**4 + 5*d**3 + 7547*d**4 wrt d?
-16*d**3 - 54*d**2
Let z be ((-7 + 60/8)*0)/(-6). Let a(t) be the first derivative of 0*t**2 + 2 - 12/5*t**5 + 2*t**3 + z*t**4 + 0*t. What is the third derivative of a(p) wrt p?
-288*p
Suppose f - 9*f + 16 = 0. Find the third derivative of 12*x**6 + 0*x**2 - 4*x**2 + 0*x**f wrt x.
1440*x**3
Let n(g) be the third derivative of 0*g**4 - 7/30*g**5 + 37/6*g**3 + 0 + 0*g + 31*g**2. What is the first derivative of n(r) wrt r?
-28*r
Let x(r) = r - 10. Let g be x(17). Find the third derivative of 8*k**2 - g*k**6 - 38*k + 72*k - 34*k wrt k.
-840*k**3
Let x(m) be the second derivative of -m**8/336 + m**5/24 + m**3/3 + 3*m. Let u(v) be the second derivative of x(v). Find the second derivative of u(k) wrt k.
-60*k**2
Let s = -8 + 11. Suppose 3*c = 5*j + 6, s + 5 = 4*c - 3*j. Find the third derivative of -o**2 - o**3 + 5*o**c + 0*o**3 wrt o.
-6
Differentiate -9 + 4*t**3 + 318*t**2 - 75*t**2 - 81*t**2 - 85*t**2 - 80*t**2 wrt t.
12*t**2 - 6*t
Let m(z) = -5*z + 1. Let k be m(-1). What is the third derivative of 6 + 6*i**2 - 11*i**6 - k wrt i?
-1320*i**3
Let g(k) be the second derivative of -89*k**4/12 - 265*k**3/6 - k**2 + 975*k. What is the second derivative of g(c) wrt c?
-178
Let j(g) be the first derivative of 61*g**2/2 - 98*g + 54. Differentiate j(n) wrt n.
61
Let k(s) be the second derivative of -46*s**7/21 + 343*s**4/12 + 270*s. What is the third derivative of k(u) wrt u?
-5520*u**2
What is the second derivative of 14*p + 2