
-150
Let a(r) be the third derivative of -101*r**5/60 + 29*r**4/8 + 139*r**2. What is the second derivative of a(u) wrt u?
-202
Find the third derivative of -3*p + 73*p**6 - 11*p**2 + 21*p**2 + p**3 - 5*p - p**3 wrt p.
8760*p**3
Let k(z) = z. Let q(i) = 66*i**2 - 5*i + 35. Let a(r) = 3*k(r) + q(r). What is the derivative of a(h) wrt h?
132*h - 2
Let n(c) = 7*c**4 - 18*c**3 + 6*c**2 - 6*c + 187. Let d(j) = 14*j**4 - 36*j**3 + 11*j**2 - 11*j + 374. Let o(v) = 6*d(v) - 11*n(v). Differentiate o(w) wrt w.
28*w**3 - 54*w**2
Find the first derivative of -136 + 28*x**3 - 23*x**3 - 134*x**4 - 5*x**3 wrt x.
-536*x**3
Let u(o) = o**2 + 2*o. Let r(z) = -168*z**2 - 16*z + 20. Let x(a) = r(a) + 6*u(a). Find the second derivative of x(n) wrt n.
-324
What is the second derivative of -118*l - 40*l + 137*l**3 - 9*l + 127*l**3 + 5*l**2 - 240*l**3 wrt l?
144*l + 10
Let f = 46 - 78. Let x = 34 + f. Find the third derivative of 12*o**x - 20*o**2 + 2*o**4 + 9*o**4 wrt o.
264*o
Let w(y) be the third derivative of -y**6/30 + y**5/20 - 9*y**3/2 - 55*y**2. Find the first derivative of w(c) wrt c.
-12*c**2 + 6*c
Let c(s) be the second derivative of 5*s - s**2 - 1/6*s**4 - 5/6*s**3 + 0. Let f(w) be the first derivative of c(w). What is the first derivative of f(k) wrt k?
-4
Suppose -6*y - 32 = -4*y. Let j be y/(-20) - (-66)/5. What is the third derivative of -j*l - 6*l**5 + 7*l - 7*l**2 + 7*l wrt l?
-360*l**2
Let h = -62 + 67. Find the third derivative of -21*w**2 + 4*w**6 + 11*w**6 + h*w**2 wrt w.
1800*w**3
Let k(u) be the first derivative of u**7/14 - u**3/3 - 3*u**2 + 20. Let v(c) be the second derivative of k(c). Differentiate v(q) wrt q.
60*q**3
Let n(j) be the second derivative of -14*j**5/5 - 48*j**2 + 286*j. Differentiate n(t) with respect to t.
-168*t**2
Let u(b) = -6*b**3 - b**2. Let h(q) = 5*q**3. Let g(k) = 2*h(k) + 3*u(k). Find the third derivative of g(c) wrt c.
-48
Let n(d) = 2*d**3 - d - 1. Let s(i) = -59*i**3 + 6*i**2 + 13*i + 6. Let g(w) = 6*n(w) + s(w). Find the third derivative of g(b) wrt b.
-282
Let o(v) be the second derivative of 0*v**3 + 9*v - 1/6*v**4 + 0 + 7/2*v**2. What is the first derivative of o(f) wrt f?
-4*f
Let j(h) be the third derivative of -h**4/12 + 4*h**3/3 - 6*h**2. Let v be j(0). Find the third derivative of -5*x**5 + v*x**2 - 7*x**6 - 4*x**5 + 9*x**5 wrt x.
-840*x**3
Suppose 5*a = -5*x + 60, -a + 2*x - 4 = -13. Let z be (-29)/(-6) + (-4)/(-24). Find the second derivative of 11 - z*d**3 - 5*d - a + 0*d wrt d.
-30*d
Find the second derivative of 115*f + 454 - 454 + 247*f**2 wrt f.
494
Let y(q) = q**2 + q + 1. Let k(z) = 7*z**2 + 6*z + 12. Let x(l) = k(l) - 6*y(l). Let g(a) = a**2 - 1. Let d(j) = 4*g(j) - x(j). Differentiate d(t) wrt t.
6*t
Suppose 0*d = 3*d - p - 58, -100 = -5*d + 5*p. What is the third derivative of -5*y + d*y**5 - 26*y**2 + 6*y - y wrt y?
1140*y**2
What is the second derivative of 82*r**2 - 34*r**2 - 11*r - 36*r**2 - 34*r**2 wrt r?
-44
Find the second derivative of 54*t**2 + 82*t**2 - 3 + 4 - 4*t**3 + 89*t - 161*t**2 wrt t.
-24*t - 50
Let r be 1/4 - (-3)/4. Let t be (r + 3)/(-5 + 7). What is the third derivative of -6*s**2 + 9*s**t - 3*s**4 + 2*s**4 + 4*s**4 wrt s?
72*s
Let g(r) = -r**2 + 12*r - 20. Let j be g(8). Differentiate -19*t**3 + 29 + 9 + 5*t**3 - j wrt t.
-42*t**2
Find the third derivative of 7 + 4 - p**2 - 130*p**5 - 4*p**2 - 3 + 1 wrt p.
-7800*p**2
Suppose 4*g = -20, -c + 5*g = 146 - 442. Suppose 0 = 3*r - 95 - c. Find the second derivative of 9*k**4 + 122*k**2 - r*k**2 - 9*k wrt k.
108*k**2
Let y be (-40)/(-18) - 4/18. Let j(u) = 0 + 4 + 8 - 10 - 1. Let t(s) = -6*s + 4. Let x(d) = y*j(d) - t(d). What is the first derivative of x(w) wrt w?
6
Let p(b) = -186*b**2 - 18*b + 22. Let z(o) = o**2 - o + 3. Let i(a) = p(a) - 6*z(a). Find the second derivative of i(c) wrt c.
-384
Let t(c) = 15*c**2 + 6*c - 61. Let y(b) = -b. Let z(q) = -t(q) - 6*y(q). What is the derivative of z(v) wrt v?
-30*v
Find the second derivative of -424*s + 309*s**5 - 700*s**2 + 700*s**2 wrt s.
6180*s**3
Let s be 1 + 2 + ((-3105)/(-3))/5. What is the derivative of -s - 43*f + 344 - 172 wrt f?
-43
Let l(r) be the third derivative of 127*r**4/24 + 21*r**3 - 41*r**2. What is the first derivative of l(g) wrt g?
127
Let p(v) = 3*v**2 + 2*v - 13. Let f be p(2). Let o be 32/18 + 2/9. Find the third derivative of o*i**2 + 0*i**2 + f*i**2 + 4*i**4 wrt i.
96*i
Let q(a) be the second derivative of -3*a**8/56 - a**6/6 + 3*a**4/2 - 3*a**2/2 - 60*a. Find the third derivative of q(m) wrt m.
-360*m**3 - 120*m
What is the second derivative of 2*i**5 - 10*i**2 + 44*i**2 + 6*i - 5*i + 10*i wrt i?
40*i**3 + 68
Suppose -5*n + p - 4*p + 39 = 0, 0 = 5*n - 5*p - 15. Let u be n/(-9)*(-9 + 3). What is the third derivative of 10*g**5 + g**5 + g**2 - u*g**2 wrt g?
660*g**2
Let h(p) be the first derivative of 118*p**5/5 - 4*p**3/3 - 3*p + 103. Find the third derivative of h(w) wrt w.
2832*w
Let n(x) be the second derivative of 9*x**5/5 + x**4/12 - 105*x**2/2 + 52*x. Differentiate n(w) with respect to w.
108*w**2 + 2*w
Let a(f) be the first derivative of 4*f**6/3 - 11*f**2/2 + 29*f + 42. Let i(b) be the first derivative of a(b). Differentiate i(y) wrt y.
160*y**3
Let y be 3*4/(4 - 0). Suppose -c - 2*p + 6 = -6*c, -y*p = c - 9. What is the first derivative of -3*m**3 + c - 8*m**3 + 1 wrt m?
-33*m**2
Let a(h) be the third derivative of -h**7/210 + 41*h**6/120 + h**4/3 + 41*h**3/6 + 3*h**2 + 23*h. Find the second derivative of a(q) wrt q.
-12*q**2 + 246*q
Let m(j) be the third derivative of 0 - 37*j**2 + 7/12*j**5 + 0*j - 13/3*j**3 + 0*j**4. Differentiate m(n) wrt n.
70*n
Let v(k) be the third derivative of -k**8/28 - 71*k**4/24 + 2*k**2 + 60*k. What is the second derivative of v(r) wrt r?
-240*r**3
What is the derivative of d**4 - 763*d - 65 - 19 + 923*d wrt d?
4*d**3 + 160
Let i(h) be the first derivative of 3*h**5/5 + h**4/4 + 29*h**2/2 + 2*h + 69. What is the second derivative of i(n) wrt n?
36*n**2 + 6*n
Let c be -2 - 7/((-28)/16). Suppose 2060 - 578 = 3*j. What is the first derivative of -494*k + 5*k**c + j*k - 3 wrt k?
10*k
Let g(k) = -562*k**3 - 778*k - 13. Let v(i) = -280*i**3 - 391*i - 6. Let x(l) = -6*g(l) + 13*v(l). What is the second derivative of x(a) wrt a?
-1608*a
Let y = 12/19 - 17/57. Let v(l) be the third derivative of -y*l**4 + 5/3*l**3 + 0 + 0*l + 4*l**2. Differentiate v(x) wrt x.
-8
Differentiate 3*s**4 - 36124*s**3 - 4*s**2 - 130*s + 519 + 36124*s**3 + 4*s**2 wrt s.
12*s**3 - 130
Let q be 2/3 - 10/(-3). Suppose -3*y + q = -y. What is the third derivative of 13*s - 13*s - 4*s**y + 7*s**5 wrt s?
420*s**2
Suppose -3*p - 4*x + 42 - 10 = 0, 5*x - 29 = -p. What is the third derivative of p*a**5 - 2116*a**2 + 2102*a**2 - 34*a**5 wrt a?
-1800*a**2
Let x(c) = c**2 + 12*c + 7. Let d be x(-11). Let h be ((-4)/10)/(d/20). Find the second derivative of h*q + 7*q**4 + 4*q - 5*q wrt q.
84*q**2
Let f(h) be the second derivative of 295*h**4/12 - 131*h**3/6 - 2*h**2 + 644*h. What is the second derivative of f(a) wrt a?
590
What is the first derivative of 4*k + 4*k**2 + 15*k - 425 + 123 + 2*k**2 wrt k?
12*k + 19
What is the second derivative of 10*g**5 + 0*g - 59*g + 15*g**5 - 12*g**5 wrt g?
260*g**3
Let h(g) = 9*g**4 + 6*g**3 - 3*g + 124. Let i(x) = -8*x**4 - 6*x**3 + 2*x - 123. Let w(u) = 2*h(u) + 3*i(u). Differentiate w(p) with respect to p.
-24*p**3 - 18*p**2
Let r(m) be the third derivative of m**6/45 - 13*m**4/24 + 5*m**3/6 + 10*m**2. Let f(q) be the first derivative of r(q). Differentiate f(o) wrt o.
16*o
Let v(s) be the second derivative of -2/15*s**6 + 0*s**2 + 0 + 10*s - 4/3*s**3 + 0*s**4 + 0*s**5. What is the second derivative of v(p) wrt p?
-48*p**2
Find the second derivative of -4 - 325*g**5 - 2*g**4 - 9 + 2*g + 2*g**4 - 8 wrt g.
-6500*g**3
Let x(q) = 24 + 9*q + 7*q - 24*q. Let z(r) = -4*r + 12. Let n(j) = 6*x(j) - 13*z(j). Differentiate n(m) with respect to m.
4
Suppose 2*z - 86 = -z - 5*s, z = 3*s + 52. What is the derivative of -75 + z + 37 + 47*v**4 wrt v?
188*v**3
Let y(h) be the third derivative of 2*h**7/105 - 16*h**3/3 - 138*h**2. What is the derivative of y(j) wrt j?
16*j**3
Suppose n + 4*n - 20 = 0. Find the second derivative of -21*p - 20*p**n - 4*p**4 - 5*p**4 wrt p.
-348*p**2
Suppose k + 14 = 2*m, 10 + 14 = 3*m - 3*k. Suppose 0 = 3*