1308*d**3
Suppose 0 = 2*g - g + 1. Let q = 2 - g. Let w(d) = 21*d - 1. Let l(f) = -7*f. Let o(r) = q*w(r) + 8*l(r). What is the first derivative of o(z) wrt z?
7
Let i(p) be the first derivative of 0*p + 17/3*p**3 + 11 - 33/4*p**4 + 0*p**2. Find the third derivative of i(q) wrt q.
-198
Suppose -7*w + 16 = -3*w. What is the third derivative of -2*g**4 + 7*g**4 + 9*g**w - 5*g**4 + g**2 wrt g?
216*g
What is the third derivative of -3*l**3 + 0*l**2 + 2*l**4 + 130*l**2 - 157*l**6 + 3*l**3 - 3*l**4 wrt l?
-18840*l**3 - 24*l
Let w be (32/(-6))/(2/(-3)). Let r = w - 6. Find the third derivative of -7*g**2 - 2*g**6 + 9*g**r - 7*g**6 - 5*g**2 wrt g.
-1080*g**3
Let r = 8753/105 + -250/3. Let c(b) be the third derivative of 1/6*b**3 + r*b**7 + 0*b**5 + 3*b**2 + 0 + 0*b**4 + 0*b**6 + 0*b. Differentiate c(l) wrt l.
24*l**3
Let s(w) = 2*w - 4. Let t be (16/(-12) - -1)*-9. Let x(c) = -2*c - t*c + 0*c + 6 + 1. Let y(n) = 5*s(n) + 3*x(n). What is the first derivative of y(z) wrt z?
-5
Let w(h) = -101*h**3 + 334*h**2 - 3*h - 2. Let o(m) = 104*m**3 - 334*m**2 + 2*m + 1. Let x(c) = 3*o(c) + 2*w(c). Find the third derivative of x(z) wrt z.
660
Let c be (-164)/(-9) - 10/45. Let t = c - 13. Find the third derivative of -4*y**2 + 6*y**4 + 3*y**2 + t*y**2 wrt y.
144*y
Let v(o) be the third derivative of -7*o**6/12 + 24*o**3 + 12*o**2 + 19*o. Differentiate v(w) wrt w.
-210*w**2
Let w(j) be the first derivative of -j**5/2 + 13*j**3/3 + 16*j**2 - 31. Let u(a) be the second derivative of w(a). Differentiate u(i) with respect to i.
-60*i
Suppose 3*s = -14 + 5. Let l be -4 + 3 + (-423)/s. Find the third derivative of -2*t**2 + t**2 - l*t**6 + 9*t**2 + 135*t**6 wrt t.
-600*t**3
Let k(j) be the second derivative of j**6/15 + 251*j**5/20 - 155*j**4/6 - 703*j. What is the third derivative of k(f) wrt f?
48*f + 1506
Let r be (-4*3/12)/(1/(-3)). Differentiate 6 + 7*p**r - 17*p**3 + 22*p**3 with respect to p.
36*p**2
Let v(a) = -3*a. Let s be v(-2). Let d(r) be the first derivative of -10 + 28 - 14 - 3*r**3 + s*r. Find the first derivative of d(z) wrt z.
-18*z
Let a(n) be the third derivative of 0*n**4 - 2/15*n**5 + 0*n**6 + 0*n + 0 + 17*n**2 + 0*n**3 + 8/105*n**7. What is the third derivative of a(m) wrt m?
384*m
Suppose 2*k + 6 + 6 = 0. Let q(d) = -29*d**2 - d - 6. Let h(b) = 1. Let l(x) = k*h(x) - q(x). What is the second derivative of l(w) wrt w?
58
Let v(t) = -13*t**2 - 14*t - 2. Let a(r) = 14*r**2 + 15*r + 3. Let y be (-12)/9*3/(-2). Let j(o) = y*a(o) + 3*v(o). What is the second derivative of j(w) wrt w?
-22
Let h(t) = 10*t - 10. Let r be h(2). What is the second derivative of -10*o + r*o**2 + 18 - 18 + 19*o wrt o?
20
Let x = -22 - -24. What is the third derivative of -o**2 + 4*o**2 + x*o**4 + 3*o**4 + 5*o**2 wrt o?
120*o
Let z(d) = 5*d - 2*d - 12*d**2 - 6 + 7*d**2 + 0 + d**3. Let i be z(5). What is the second derivative of i*c**4 + 0*c + c - 11*c**4 + 0*c wrt c?
-24*c**2
Let x be (4/3)/(2/21). Find the third derivative of -17*n**2 - 910*n + 910*n + x*n**3 wrt n.
84
Find the third derivative of 109 + 4*x**5 - 39*x**4 + 90*x**4 - x**2 - 32*x**4 wrt x.
240*x**2 + 456*x
Let c = -45 - -49. What is the second derivative of 8*j**4 - 75*j + 45*j + 5*j**c wrt j?
156*j**2
Let l(d) be the second derivative of -331*d**4/12 + 132*d**2 + 36*d + 6. Find the first derivative of l(p) wrt p.
-662*p
Let g(b) = 10*b**2 - b - 1. Let l be g(-1). Let h be l - 4/((-12)/(-9)). Differentiate -6*d - h + 4*d - 10*d - 3 wrt d.
-12
Let a(m) be the third derivative of -m**6/60 + 89*m**4/12 - 61*m**3/3 + 2*m**2 - 18. What is the first derivative of a(b) wrt b?
-6*b**2 + 178
Suppose -u + 12 = -2*j, -4*u - 4*j + 3*j + 66 = 0. Let b be -2 - (u/(-1))/4. What is the derivative of -4 + b - 37*w**4 + 32*w**4 wrt w?
-20*w**3
Let b(j) be the third derivative of j**8/336 + 26*j**7/105 + j**5/60 + 137*j**3/2 - 30*j**2 - 3*j. Find the third derivative of b(v) wrt v.
60*v**2 + 1248*v
Let j(k) = 58*k**2 + 33. Let o(z) = -2*z**2 - 1. Let x(r) = -j(r) + 2*o(r). Differentiate x(m) wrt m.
-124*m
Let u be 6*((-4)/6 + 1). Let x(y) be the first derivative of -y**3 + u + 45*y - 42*y - y**3. What is the derivative of x(k) wrt k?
-12*k
Find the first derivative of -81*w**4 + 8 - 313*w + 313*w wrt w.
-324*w**3
What is the second derivative of -65*u + 23*u - 32*u**2 + 26*u wrt u?
-64
Let m(a) = -a**3 + a**2 - 2*a + 1. Let n(u) = -22*u**3 - 6*u**2 + 13*u + 4. Let g(b) = 6*m(b) + n(b). What is the second derivative of g(y) wrt y?
-168*y
Let a(m) be the second derivative of 8*m**7 - m**3/3 - 103*m**2/2 - 2*m + 110. What is the second derivative of a(q) wrt q?
6720*q**3
Find the third derivative of -933*d**4 + 22 - 130 - 535*d**4 + 795*d**4 - d**2 wrt d.
-16152*d
Suppose 28 = 4*z - 0*z. Find the third derivative of 25*a**2 + z*a**5 - 15*a**2 + 22*a**5 wrt a.
1740*a**2
Find the third derivative of -309*w**4 + 12*w**2 + 82*w**3 + 95*w**2 - 82*w**3 + 69*w**4 wrt w.
-5760*w
Differentiate 202*q**4 + 6 - 38*q**2 + 24*q**2 + 14*q**2 with respect to q.
808*q**3
Let x(i) = -11*i + 53. Let z(y) = -5*y + 26. Suppose 4*d - 8 + 44 = 0. Let r(c) = d*z(c) + 4*x(c). Differentiate r(n) wrt n.
1
Let v(m) = -231*m**2 - 4*m + 278. Let g(a) = -a**2 - a - 1. Let b(j) = 4*g(j) - v(j). Differentiate b(y) wrt y.
454*y
Find the third derivative of -82*r**3 + 50 + 7*r**2 - 8*r**2 - 26 wrt r.
-492
Let q(i) be the first derivative of -5*i**9/504 + i**5/6 + 8*i**2 - 12. Let m(d) be the second derivative of q(d). What is the third derivative of m(j) wrt j?
-600*j**3
Let y be -10*((-3)/(-2) - 2). Find the second derivative of y + 10*d - 3*d**3 - 5 wrt d.
-18*d
Let u(q) be the first derivative of -8*q**3 + q**2 + 139*q - 135. Find the first derivative of u(j) wrt j.
-48*j + 2
Suppose -88*u - 50 = -93*u. Differentiate 1 + 10 + u + 33*r + 0 wrt r.
33
Find the second derivative of 300*b - 2751 + 2751 - 26*b**2 wrt b.
-52
Let y(u) be the first derivative of -u**3 - 3*u**2 + 83*u - 94. What is the first derivative of y(q) wrt q?
-6*q - 6
Let i(x) be the second derivative of -23*x**8/7 - 47*x**4/4 - 75*x - 1. Find the third derivative of i(o) wrt o.
-22080*o**3
Let h be 1*(1/6 - (-370)/12). Differentiate 11*i**2 + 40 - h - 5*i**2 + 44 with respect to i.
12*i
Let p be 6/4*32/24. What is the derivative of -8 + 3 - 7 + 3 + 8*k**p wrt k?
16*k
Let j(w) be the third derivative of 3*w**9/56 - w**7/105 - w**5 - 2*w**2 + 47. What is the third derivative of j(t) wrt t?
3240*t**3 - 48*t
Let q(v) be the second derivative of 68*v**7/21 + 14*v**3 - 75*v. Find the second derivative of q(o) wrt o.
2720*o**3
Let u(d) = -1396*d**3 + 30*d**2 - 132*d. Let f(m) = -279*m**3 + 6*m**2 - 27*m. Let w(a) = 11*f(a) - 2*u(a). What is the third derivative of w(c) wrt c?
-1662
Suppose 20*r + 3 = 21*r. What is the third derivative of -21*z**3 + 15*z**r - 4*z**2 + 2*z**2 - 31*z**3 + 5 wrt z?
-222
Let y be (2/5)/(2/(-20)). Let o = 5 - y. What is the second derivative of 2*i - o*i + 8*i**2 - 4*i**2 wrt i?
8
Let r(a) be the third derivative of 661*a**4/24 - 90*a**3 + 605*a**2. What is the first derivative of r(w) wrt w?
661
Differentiate 1606823*r**3 - 1073 - 1606823*r**3 - 1011*r**4 wrt r.
-4044*r**3
Let g = 3579 - 1946. Find the first derivative of -4*y**2 + 17 + g*y**3 + 2*y**4 + 4*y**2 - 1612*y**3 wrt y.
8*y**3 + 63*y**2
Let s(i) = -13*i**4 - 173*i**2 - 12*i + 5. Let a(g) = 29*g**4 + 348*g**2 + 26*g - 11. Let p(b) = 6*a(b) + 13*s(b). Find the third derivative of p(u) wrt u.
120*u
Suppose -89*a = -56*a. Let m(v) be the first derivative of 3/4*v**4 + 0*v + a*v**3 + 7 - 4*v**2. What is the second derivative of m(o) wrt o?
18*o
Find the first derivative of 60 - 487*w + 101 - 19*w**2 + 248*w - 23 + 246*w wrt w.
-38*w + 7
Let r(a) = -a**2 - 2*a + 22. Let y be r(-5). Find the third derivative of -24*n**2 - 33*n**4 - 8*n**4 - 18*n**2 + y*n**2 wrt n.
-984*n
Find the third derivative of 25*m**3 + 10*m - 13*m**3 + 4*m + 22*m**3 + 7*m**2 + 2*m wrt m.
204
Let d = -1072 + 3217/3. Let n(j) be the second derivative of -d*j**4 + 0 + 2*j**2 + 7*j + 0*j**3. Differentiate n(w) with respect to w.
-8*w
Let w(a) be the third derivative of -275*a**9/504 - a**5/20 + 25*a**3/3 - 162*a**2. What is the third derivative of w(s) wrt s?
-33000*s**3
Let s(b) = -7*b**2 - 32*b + 381. Let c(v) = -2*v**2 + v - 2. Let m(i) = 5*c(i) - s