*g**2 wrt g.
204
Let o(r) be the third derivative of 7/30*r**5 + 0 - 4*r**2 + 0*r**4 + 0*r + 13/120*r**6 + 0*r**3. Find the third derivative of o(k) wrt k.
78
Find the third derivative of 87*s**2 - 4*s + 5*s**2 - 13*s**2 + 23*s**2 + 131*s**6 wrt s.
15720*s**3
Let u(x) = 778*x**2 + 24*x + 455. Let v(l) = -778*l**2 - 16*l - 455. Let f(k) = -2*u(k) - 3*v(k). What is the derivative of f(c) wrt c?
1556*c
Suppose -9*f + 12 = -6. Differentiate -16*w**f - 15 + 10 - 14 wrt w.
-32*w
Let d be (-6)/27 - 1221/(-27). Suppose q + b = 3*b + 15, 4*q - d = 5*b. What is the second derivative of -q*a - 5*a**5 - a**5 + a wrt a?
-120*a**3
Let u be ((-9)/27)/((-2)/48). Suppose -5*p + u = -p. What is the second derivative of -x**2 - 2*x**p - x + 3*x**2 - 6*x**4 wrt x?
-72*x**2
Let u(m) be the second derivative of m**5/10 + 11*m**4/12 + 26*m**3/3 + 6*m. What is the second derivative of u(v) wrt v?
12*v + 22
Let b(h) be the second derivative of -3*h**8/56 - 3*h**5/2 - 5*h**4/2 - h**3/3 + 120*h. Find the third derivative of b(s) wrt s.
-360*s**3 - 180
Let i(o) be the first derivative of -89*o**4/4 + 30*o**3 - 106. What is the third derivative of i(w) wrt w?
-534
Let p(h) be the third derivative of 1/2*h**3 + 0*h**4 + 0*h - 17*h**2 + 0 - 1/15*h**5. What is the first derivative of p(q) wrt q?
-8*q
Let s(u) be the first derivative of 179*u**5/5 + 4*u**3 - 398. What is the third derivative of s(h) wrt h?
4296*h
Let f(k) be the second derivative of 0 + 0*k**4 - 13*k - 2/5*k**5 + 11/2*k**2 + 0*k**3. Find the first derivative of f(n) wrt n.
-24*n**2
Let u(w) be the first derivative of 971*w**2/2 - 561*w + 715. Find the first derivative of u(j) wrt j.
971
Let t(w) be the second derivative of w**7/21 - 9*w**5/10 + 21*w**4/4 + 91*w. What is the third derivative of t(q) wrt q?
120*q**2 - 108
Let w be -2 + 2 + (-12)/(-4). Let v be 1 - (w + (0 - 5)). Find the third derivative of 2*h**2 + 3 - v - 3*h**4 wrt h.
-72*h
Let h = 11 + 0. What is the first derivative of -13*j**3 + h + 5*j**3 + 6*j**3 wrt j?
-6*j**2
Suppose -5*a - 8 = v, 5*v - 32 = -2*a - 3. What is the first derivative of -v + 22*g - 8 - 7 wrt g?
22
Find the third derivative of 3*c**2 + 2*c - 32*c + 178*c**4 - 7*c**2 + 5*c**2 wrt c.
4272*c
What is the third derivative of -5*n**4 + 4*n**2 + 3*n**4 - 9*n + 8*n**5 + 15*n wrt n?
480*n**2 - 48*n
Let v = 251 + 183. What is the third derivative of 0*l**4 - 420*l**5 + 0*l**4 - 2*l**2 + v*l**5 wrt l?
840*l**2
Let g(v) be the first derivative of -v**9/56 + 9*v**5/20 + 29*v**2/2 - 17. Let z(d) be the second derivative of g(d). Find the third derivative of z(h) wrt h.
-1080*h**3
Let v = -14 - -19. Suppose -2*g + 2*i + 12 = g, -v*i = 0. What is the first derivative of -4*k**4 - 2 + k**g + 0 wrt k?
-12*k**3
Let w(a) = -517*a**4 + 8*a**2 - 334*a - 4. Let g(k) = 522*k**4 - 10*k**2 + 335*k + 5. Let u(s) = -4*g(s) - 5*w(s). Find the second derivative of u(t) wrt t.
5964*t**2
What is the second derivative of -26*m**2 + 3367*m + 2*m**3 - 6729*m + 8 + 3361*m wrt m?
12*m - 52
Let n(k) be the third derivative of 0*k**6 + 0*k**5 + 2/3*k**4 + 0*k**3 + 0 + 0*k - 2*k**2 + 2/21*k**7. What is the second derivative of n(i) wrt i?
240*i**2
What is the third derivative of -39*z**2 - 12*z**2 - 4*z**6 + 8*z**5 - 1 - 4*z**5 wrt z?
-480*z**3 + 240*z**2
Let b(p) be the second derivative of -p**9/7560 + p**5/12 + 3*p**4/4 + 11*p. Let h(g) be the third derivative of b(g). Find the first derivative of h(w) wrt w.
-8*w**3
Suppose 30*z = 88 + 32. Let j(v) be the second derivative of -3/2*v**2 + 0 + v - 5/12*v**z + 0*v**3. Differentiate j(g) wrt g.
-10*g
Let n(c) = 15*c**3 - 10*c**2 + 6*c + 95. Let t(k) = -14*k**3 + 10*k**2 - 5*k - 94. Let y(o) = 5*n(o) + 6*t(o). What is the first derivative of y(s) wrt s?
-27*s**2 + 20*s
Suppose r = 3*r - 6. Suppose 0*a = r*a - 9. Find the second derivative of -2*d**3 + 3*d**3 - 3*d**3 - 2*d**a + 3*d wrt d.
-24*d
Let k(o) = -283*o - 346. Let m(a) = -280*a - 348. Let b(c) = 3*k(c) - 2*m(c). Differentiate b(i) with respect to i.
-289
Let t(n) = -n**2 + 10*n - 2. Let k be t(8). Find the third derivative of 109*l**3 - 99*l**3 - k*l**2 + 39*l**2 wrt l.
60
Let u be 1*2/14*0. Let q(a) be the third derivative of u*a - 1/20*a**6 + 0 + 7/6*a**3 + 0*a**4 - 6*a**2 + 0*a**5. What is the first derivative of q(i) wrt i?
-18*i**2
Let n be ((-27)/(-12))/(9/120). What is the third derivative of -6*l**3 + 6*l**3 - 13*l**3 + n*l**3 - 8*l**2 wrt l?
102
Suppose -2 = 3*v - 8. Find the first derivative of -6*w**4 + 13*w**3 + 8 - 13*w**3 + v*w**4 wrt w.
-16*w**3
Suppose s = 5*s - 8. Find the third derivative of -2*a**5 + 32*a**s - a**5 - 21*a**2 wrt a.
-180*a**2
Find the third derivative of 146*q**3 + 198*q**2 - 93*q**3 + 137*q**3 wrt q.
1140
Let i(p) be the second derivative of p**8/420 - p**4/6 - p**3 - 3*p. Let u(r) be the second derivative of i(r). What is the first derivative of u(y) wrt y?
16*y**3
Let l be ((-12)/8)/(9/(-12)). Find the second derivative of -93*q**3 + 2*q**2 - l*q**2 + 114*q**3 + 3*q wrt q.
126*q
Let o(h) be the third derivative of h**7/70 + h**5/4 + 59*h**4/8 - h**3/3 - 3*h**2 - 14. What is the second derivative of o(z) wrt z?
36*z**2 + 30
Let y(q) be the second derivative of 136*q**5/5 - 106*q**4/3 - 637*q. What is the third derivative of y(j) wrt j?
3264
Let u = -155 - -158. Let r(w) be the first derivative of u*w + 0*w**3 - 4 - 1/4*w**4 + 0*w**2. What is the derivative of r(s) wrt s?
-3*s**2
Suppose 2*t + 150 = 7*t. Let w = t + -96. Let r(h) = -3*h - 1. Let q(s) = -48*s - 15. Let j(y) = w*r(y) + 4*q(y). Differentiate j(z) with respect to z.
6
Let i(n) be the second derivative of -267*n**5/20 + 11*n**4/4 - 2*n**2 - 16*n - 5. Find the third derivative of i(s) wrt s.
-1602
Suppose 4*n - x - 21 = 0, 5*x + 16 + 29 = 5*n. Find the third derivative of 14*r**6 - 15*r**2 - 1898*r**n + 1898*r**4 wrt r.
1680*r**3
What is the second derivative of -47417 + 500*y**2 + 47417 - 282*y wrt y?
1000
Let d(k) be the first derivative of -149*k**7/7 + 32*k**3 + k + 115. What is the third derivative of d(p) wrt p?
-17880*p**3
Let w(t) be the third derivative of -t**6/60 - 61*t**5/30 + 179*t**4/6 + 3*t**2 + 16. Find the second derivative of w(s) wrt s.
-12*s - 244
Let k(g) = -g + 16. Let t be k(6). Find the first derivative of -9*o**2 + 9*o**2 + 10 + t*o**4 wrt o.
40*o**3
Suppose -15*f - 80 = -16*f. What is the second derivative of -3*m**2 - f*m - 25*m**2 + 90*m wrt m?
-56
Let n be (-1)/(5 + 55/(-10)). Let f be (1 - 2) + -7 + 8. Find the third derivative of -57*b**3 + 2*b**2 + 2*b**2 + f*b**n + 47*b**3 wrt b.
-60
What is the second derivative of 707*j**4 + 2*j - 5 + 488*j**4 - 3*j - 900*j**4 wrt j?
3540*j**2
Let u(n) be the third derivative of -359*n**5/60 - 5*n**4/8 - 7*n**3/6 - 98*n**2 + 4. Find the second derivative of u(i) wrt i.
-718
Let n be -2*(-5)/10 - -1. Find the third derivative of 7*a**n + 6*a**2 - 7*a**2 - 3*a**3 - 2*a**2 wrt a.
-18
Let z(q) be the first derivative of 56*q**3/3 - q**2/2 - 31*q + 72. Differentiate z(b) wrt b.
112*b - 1
Let q(n) = n**4 + n**3 - n**2 + n. Let r(z) = -27*z**6 + 5*z**4 + 3*z**3 - 6*z**2 + 3*z - 2. Let l(k) = -3*q(k) + r(k). Find the third derivative of l(w) wrt w.
-3240*w**3 + 48*w
Let x be (14/(-35))/(2/(-10)). What is the second derivative of 7*k**2 + 3*k + 5*k + x*k wrt k?
14
Let f(q) = 23*q**2 + 1. Let u be f(-1). Let n = u + -9. What is the first derivative of -h**2 - 7*h**2 + h**2 + 5 - n wrt h?
-14*h
Let j be (-24)/4*2/(-6). Let v = 7 - j. What is the third derivative of 0*o**2 - v*o**2 - 2*o**4 + o**4 wrt o?
-24*o
Let v(r) be the first derivative of -2*r**7/105 + 7*r**4/24 - 2*r**3 + 1. Let m(j) be the third derivative of v(j). Differentiate m(t) wrt t.
-48*t**2
Find the third derivative of -75 + 132*d**3 + d**2 + 75 - 78*d - 2*d**2 wrt d.
792
Let t be ((-152)/20 - -6)*1/(-12). Let h(w) be the second derivative of 5/2*w**2 - 3*w + 0*w**5 - t*w**6 + 0 + 0*w**3 + 0*w**4. Differentiate h(p) wrt p.
-16*p**3
Let c(w) be the first derivative of w**5/5 - 4*w**3 + 11*w**2 - 16. Let t(u) be the second derivative of c(u). Find the first derivative of t(s) wrt s.
24*s
Let v(y) be the first derivative of 6*y**5 + 2*y**3/3 + 39*y - 15. What is the third derivative of v(n) wrt n?
720*n
Let h(v) = 182*v**4 + 6*v**3 + 6*v**2 + 12*v + 45. Let z(f) = f**4 - f**3 - f**2