 6*m, 24 = 2*o + 3*m. What is the second derivative of -2*w**2 + 13*w**2 - o*w - 3*w**2 + w wrt w?
16
Let s be (-8)/12 - (-13)/15. Let t(g) be the first derivative of 0*g**3 - 1 + 0*g**4 - 5/2*g**2 + 0*g - s*g**5. Find the second derivative of t(d) wrt d.
-12*d**2
Let w(c) = -57*c**3 - 3*c**2 - 5*c + 75. Let o(v) = 57*v**3 + 2*v**2 + 4*v - 76. Let d(m) = -5*o(m) - 4*w(m). What is the derivative of d(y) wrt y?
-171*y**2 + 4*y
Suppose -6*h + 3*h = 30. Let g be (18/h)/((-9)/30). Find the third derivative of 2*v**3 - 4*v**3 + 6*v**2 - g*v**3 + 2*v**3 wrt v.
-36
Let p(u) be the third derivative of 0*u + 0*u**4 + 12*u**2 - 1/3*u**3 + 0 + 0*u**5 + 3/70*u**7 + 0*u**6. What is the derivative of p(j) wrt j?
36*j**3
Let l(r) be the second derivative of r**5/10 - 35*r**4/12 + 5*r**3/6 + 7*r**2/2 - 31*r - 1. What is the second derivative of l(v) wrt v?
12*v - 70
Let w(t) be the first derivative of -13*t**5/60 - 29*t**4/24 - 14*t**3 + 28. Let r(a) be the third derivative of w(a). What is the derivative of r(v) wrt v?
-26
Let r(a) = -86*a**3 - 12*a**2 - 5*a - 2. Let u(y) = -173*y**3 - 22*y**2 - 9*y - 4. Let v(q) = -11*r(q) + 6*u(q). What is the first derivative of v(t) wrt t?
-276*t**2 + 1
Find the first derivative of 70 - 106*g - 121*g - 3*g wrt g.
-230
Let v = 3 + -11. Let l = v - -14. What is the third derivative of -k + l*k - 5*k + 5*k**6 + 3*k**2 wrt k?
600*k**3
Let m = -33 + 38. Let i be 0 + m - (-8 + 10). What is the first derivative of -98 - 2*o**3 + 108 + 0*o**i wrt o?
-6*o**2
Let g(h) = 2*h**3 + h**2 - h - 2. Let o(b) = 38*b**4 - 10*b**3 - 4*b**2 + 437*b + 8. Let v(j) = 4*g(j) + o(j). Find the second derivative of v(l) wrt l.
456*l**2 - 12*l
Let y(x) be the third derivative of -5/24*x**4 + 0*x**7 - 15*x**2 + 0*x**5 + 0*x**3 + 0*x**6 + 0*x - 1/112*x**8 + 0. Find the second derivative of y(s) wrt s.
-60*s**3
Let y(o) = o**3 + o**2 - 2*o. Let v be y(1). What is the third derivative of -l**3 + l**2 + 9*l**3 + v*l**3 wrt l?
48
Let t be -5*(-1 + 344)*(-182)/65. Find the second derivative of 43*o**3 + 29*o + 4802 - t wrt o.
258*o
Let c(o) = o**3 - 13*o**2 + 13*o - 5. Let w be c(12). Find the second derivative of 9*t - w*t**3 + 6*t + 5*t**3 + 19*t**3 wrt t.
102*t
Let f(m) = 4*m**5 - 67*m**3 - 244*m**2 + 5. Let d(u) = u**5 - u**2 + 1. Let z(s) = -5*d(s) + f(s). Find the third derivative of z(y) wrt y.
-60*y**2 - 402
What is the third derivative of 24*h**2 + 103 - 23*h**2 - 272*h**5 + 85*h**5 - 31 wrt h?
-11220*h**2
What is the third derivative of 2*s**5 + 221*s**3 - 73 - 25573*s**2 + 25571*s**2 - 23 - s**3 wrt s?
120*s**2 + 1320
Suppose -3*k - 4 = -4*k. Let d = k + 1. Find the second derivative of -j**d - 2*j**4 + 0*j**4 + 2*j**4 - 3*j wrt j.
-20*j**3
Let j(y) be the second derivative of 11*y**8/56 + 11*y**6/30 + 65*y**4/3 - 5*y - 15. Find the third derivative of j(l) wrt l.
1320*l**3 + 264*l
Let n(r) = r**4 + 43*r**3 + 9*r**2 + 16*r + 4. Let p(l) = 44*l**3 + 10*l**2 + 12*l + 3. Let g(d) = 3*n(d) - 4*p(d). What is the third derivative of g(a) wrt a?
72*a - 282
Suppose -4*b = 2*f + f - 28, f = -3*b + 11. Suppose -f = -4*j - 0. What is the second derivative of -2*q + 5*q - 3*q**j - 2*q wrt q?
-6
Let t(f) be the third derivative of f**9/504 + 13*f**7/210 - f**5/30 + 3*f**3/2 + 8*f**2 + 2. What is the third derivative of t(x) wrt x?
120*x**3 + 312*x
Let b(c) = 99*c + 400. Let o be b(-4). Let x(d) be the first derivative of -7/5*d**5 + 0*d**4 + 0*d**3 + 6*d - o + 0*d**2. Differentiate x(t) with respect to t.
-28*t**3
Let n(l) = -l + 11. Let k be n(7). Suppose k*i - 26 = 18. Find the third derivative of 2*w**3 - 2*w**2 - 6*w**3 + i*w**2 wrt w.
-24
Find the third derivative of -9*q**4 - 4*q**4 + 10*q**4 - 10*q**2 + 3*q - 4*q**5 + 5*q**3 + 3*q**4 wrt q.
-240*q**2 + 30
Let q(k) = -609*k + 681. Let l(u) = 153*u - 170. Let n(m) = 9*l(m) + 2*q(m). Differentiate n(c) with respect to c.
159
Let p(l) = 280*l**3 - 45*l**2 + 4*l - 19. Let v(g) = 279*g**3 - 54*g**2 + 5*g - 19. Let k(a) = 5*p(a) - 4*v(a). What is the third derivative of k(n) wrt n?
1704
Let h(p) be the second derivative of -46*p**7/21 - 10*p**3/3 - 7*p**2/2 + 79*p. Find the second derivative of h(r) wrt r.
-1840*r**3
Find the second derivative of -24*m + 179*m**2 + 158*m**2 - 120*m**2 + 2 + 166*m wrt m.
434
Let y(h) = 2*h + 22. Let r be y(-9). What is the first derivative of 172*w + 0 - 183*w + r wrt w?
-11
Let i(s) be the second derivative of 0*s**2 + 0*s**3 - 9/20*s**5 - 2*s**4 + 25*s + 0. Find the third derivative of i(k) wrt k.
-54
Find the second derivative of 55*c**2 + 61*c**2 - 9 + 3*c + 4*c**2 - 21*c**2 wrt c.
198
Suppose -5*n = -3*n + 2*y + 8, 5*n + 2*y + 17 = 0. Let t = 9 + n. What is the derivative of 0*z**4 + 3 - 3 + t + 4*z**4 wrt z?
16*z**3
Suppose -7 - 33 = -5*i. Let w(g) be the first derivative of 7/4*g**4 + i + 0*g - 9/2*g**2 + 0*g**3. Find the second derivative of w(j) wrt j.
42*j
Suppose -6*s = 6*s - 48. Find the first derivative of s*r**4 - 2*r**4 + 4 - 14*r**4 wrt r.
-48*r**3
Let p(o) be the first derivative of -4/3*o**3 + 0*o**5 + 0*o + 10 + 0*o**4 - 3/7*o**7 + 0*o**6 + 0*o**2. What is the third derivative of p(y) wrt y?
-360*y**3
Let c be 10/15 + (-38)/(-6). Let o = c + -1. What is the second derivative of 2*y**4 - o - 3*y + 6 - 3*y wrt y?
24*y**2
Let l = -6 - -9. What is the first derivative of c**l - 12 + 10*c**3 - c**3 wrt c?
30*c**2
Suppose -40*m = -36*m. Let s(y) be the second derivative of 5*y + 0*y**2 + 1/3*y**3 - 1/5*y**5 + 0*y**4 + m. Find the second derivative of s(h) wrt h.
-24*h
Suppose 4*f - 5 - 7 = 0. Suppose -15 + f = -6*i. Differentiate -t**4 - t**2 + t**i - 2 - 7*t**4 with respect to t.
-32*t**3
Let m(g) = 5*g**3 - 32*g**2 - 2*g - 32. Let i(a) = -2*a**3 - a**2 + a. Let j(r) = -2*i(r) - m(r). What is the first derivative of j(t) wrt t?
-3*t**2 + 68*t
What is the derivative of 363 + 1 + 476*v**3 - 637*v**3 wrt v?
-483*v**2
Let j(n) = 228*n - 95. Let i(l) = -229*l + 96. Let r(b) = 5*i(b) + 6*j(b). Find the first derivative of r(d) wrt d.
223
Let c(n) = -117*n**2 + n + 10. Let k(d) = -233*d**2 + 3*d + 17. Let i(r) = -7*c(r) + 3*k(r). Find the second derivative of i(h) wrt h.
240
Let x(i) be the first derivative of 0*i**4 + 0*i**3 - 16 + 11/5*i**5 + 19/2*i**2 + 0*i. What is the second derivative of x(j) wrt j?
132*j**2
Suppose -o + c + 21 = 7, -3 = c. Let j = o + -9. Find the second derivative of 2*s**5 + 5*s + j*s - 4*s wrt s.
40*s**3
Suppose 0 = -s - 4*u - 10, 4*u = 2*s + 3*s - 22. Find the second derivative of 3*h - 22*h + 0*h - h**s + 4*h**2 wrt h.
6
Let v(o) be the third derivative of -5*o**8/48 - 13*o**4/24 - 4*o**3/3 + 223*o**2. What is the second derivative of v(m) wrt m?
-700*m**3
Suppose -4*t + 8 = -4. Suppose -p - 10 = p, 3*v + 6 = -t*p. Find the second derivative of 6*l - l**3 - l**3 + l**v - 2*l**3 wrt l.
-18*l
Suppose -h - 58 = -5*h + 2*y, 36 = 3*h - 3*y. Let z = h + -15. Find the third derivative of 6*a**z - a**3 + 0*a**2 + a**2 - a**3 wrt a.
-12
Let u(m) be the first derivative of 0*m**2 - 17/4*m**4 + 0*m**3 + 9*m - 10. What is the derivative of u(l) wrt l?
-51*l**2
Let o(n) be the first derivative of 27*n**4/2 - n**3/3 + 15*n + 64. Find the third derivative of o(m) wrt m.
324
Suppose 3*c - 501 = -0*c. Find the second derivative of 3*v**4 + c - v**4 + 12*v - 167 wrt v.
24*v**2
Differentiate 17380*y**2 + 4*y**4 - 17373*y**2 + 286 + 12*y**4 with respect to y.
64*y**3 + 14*y
What is the third derivative of -11114*h**2 + 28*h**5 + 10765*h**2 - 230*h**5 wrt h?
-12120*h**2
Let h(j) be the first derivative of -3/4*j**4 + 0*j**3 + 3 + j**2 - 5*j. Let b(x) be the first derivative of h(x). Differentiate b(i) with respect to i.
-18*i
Let u(t) be the third derivative of -t**3/6 - 2*t**2. Let c(z) = 12*z + 6. Let p(l) = -c(l) + 5*u(l). Differentiate p(h) with respect to h.
-12
Let i(t) = -t**4 + 2*t**3 - 71*t**2 - 2*t + 51. Let p(f) = -6*f**4 + 13*f**3 - 427*f**2 - 13*f + 308. Let c(o) = -13*i(o) + 2*p(o). Differentiate c(h) wrt h.
4*h**3 + 138*h
Suppose 2*h + 0*h = 4*y + 2, -15 = -3*h. Suppose -y*m - 16 = -6*m. What is the third derivative of -10*b**4 + 4*b**2 + b**m - b**4 wrt b?
-240*b
Let p = -54 - -83. What is the derivative of 4*u**4 - 29*u**3 + u**4 + 2 + p*u**3 wrt u?
20*u**3
Suppose -212 - 220 = -6*g. Let m be g/48*20/6. Find the second derivative of -14*l**