s) = 138*s**3 + 38*s**2. Let r(g) = -6*n(g) - 13*x(g). Find the third derivative of r(q) wrt q.
414
Suppose 36 = 2*i + 2*h, 30 + 52 = 5*i - 3*h. Let t = -13 + i. What is the third derivative of -5*x**t + 5*x**2 - 4*x**2 + 7*x**2 wrt x?
-120*x
Let k be (770/30)/(2/(-6)). Let f be 2/12 + k/(-6). What is the second derivative of -7*t + 5*t**4 + 7*t - 9*t - f*t**4 wrt t?
-96*t**2
Let u(a) be the second derivative of 83*a**6/30 - 92*a**2 - 13*a - 2. What is the first derivative of u(d) wrt d?
332*d**3
Let g(i) be the third derivative of i**6/4 - 107*i**5/60 + 26*i**2. What is the third derivative of g(z) wrt z?
180
Let i(d) = -2*d**2 + 2*d + 2. Let w(a) = -164*a**2 - 4*a + 70. Let k(p) = -2*i(p) - w(p). What is the derivative of k(h) wrt h?
336*h
What is the derivative of -18216*y**4 + y - 150 + 18063*y**4 - y wrt y?
-612*y**3
Let j = 17 + -15. Let q(x) be the second derivative of 0*x**5 + 0 + 0*x**4 - 2*x**j + 3*x + 1/10*x**6 + 0*x**3. Differentiate q(r) wrt r.
12*r**3
Let h(w) = 9*w**2 - 12*w + 52. Let r(c) = -4*c**2 + 6*c - 26. Let l(i) = -6*h(i) - 14*r(i). What is the first derivative of l(t) wrt t?
4*t - 12
Let w(v) = 355*v**2 + 19. Let x(r) = 354*r**2 + 15. Let i(d) = -6*w(d) + 7*x(d). Find the first derivative of i(k) wrt k.
696*k
Suppose -3*p + 31 = 1. Find the first derivative of -6*y**4 + 3 - y**2 + p + y**2 wrt y.
-24*y**3
Suppose -24*q - 72 = -60*q. Let d(a) be the first derivative of -1/2*a**4 + 5/2*a**q - 3 + 0*a**3 + 0*a. Find the second derivative of d(c) wrt c.
-12*c
Let u(y) = y. Let t(h) = -2*h + 1. Let o(f) = 2*t(f) + 5*u(f). Let m be o(3). Differentiate -m + q - 1 + 1 + 10 with respect to q.
1
Let m(r) = -r - 2. Let h = 7 + -12. Let j be m(h). What is the third derivative of -v**2 - v**3 - 13*v**4 - j*v**3 + 4*v**3 wrt v?
-312*v
Let u = 15 - 15. Suppose 5*c = -u*c + 10. What is the second derivative of -4*l**2 - 8*l**c - 2*l + 5*l**2 - 2*l**2 wrt l?
-18
Find the second derivative of 9 - 22 + 817*h**2 - 784*h + 13 wrt h.
1634
What is the second derivative of 774*y**3 - 732*y**3 - 21*y - 3*y**2 + 3*y**2 wrt y?
252*y
Let q(c) = -4*c - 11. Let z be q(-5). What is the derivative of -7 - 12 + z*b + 8 wrt b?
9
Let g = 2 - 8. Let f = 8 + g. What is the third derivative of -s**5 + 0*s**f + 6*s**5 - 2*s**5 + s**2 wrt s?
180*s**2
Suppose -52 + 190 = 23*v. Let w(i) be the first derivative of 1/4*i**4 + 2*i + 0*i**3 + v + 0*i**2. What is the derivative of w(a) wrt a?
3*a**2
Let p(i) be the third derivative of 0*i**4 + 0*i + 0*i**7 + 0 - 2*i**2 - 1/5*i**5 + 0*i**6 - 5/112*i**8 + 0*i**3. What is the third derivative of p(c) wrt c?
-900*c**2
Let t(x) = 545*x**3 - 15*x**2 - 5*x + 904. Let z(v) = -v**3 + 3*v**2 + v - 3. Let i(p) = -t(p) - 5*z(p). What is the first derivative of i(w) wrt w?
-1620*w**2
Let u(l) = 85*l**4 - 4*l**3 - 49*l**2 - 4*l - 4. Let s(w) = w**4 + w**3 + w**2 + w + 1. Let b(f) = -4*s(f) - u(f). Find the third derivative of b(o) wrt o.
-2136*o
Let i(c) be the second derivative of 23*c**4/4 + 2*c**3 + c**2 - 5*c - 4. What is the second derivative of i(f) wrt f?
138
Let t(w) be the third derivative of -77*w**5/60 + w**4/2 + 77*w**2. What is the second derivative of t(l) wrt l?
-154
Let n = 34 + -30. Let p(q) = 22*q + 25. Let d(i) = -i. Let v(s) = n*d(s) - p(s). What is the derivative of v(h) wrt h?
-26
Let b(h) be the first derivative of 3*h**7/7 - 97*h**6/6 + 3*h**3 - h**2 - 122. Find the third derivative of b(g) wrt g.
360*g**3 - 5820*g**2
Let i(x) = 4*x**5 - 2*x**3 - 16*x**2 + 123*x - 2. Let q(t) = t**5 + t**3 - t + 1. Let h(r) = -i(r) - 2*q(r). Find the second derivative of h(l) wrt l.
-120*l**3 + 32
Let k(h) be the second derivative of 323*h**5/20 + 7*h**4 - 3*h + 20. What is the third derivative of k(o) wrt o?
1938
What is the third derivative of 2 - 62*p**6 + 3*p**2 + 0 + 0 + 1 wrt p?
-7440*p**3
What is the second derivative of -2 + 1679*l**2 + 68*l - 1737*l**2 + 2 wrt l?
-116
Let h(g) be the third derivative of 17*g**6/40 - 19*g**3/2 + 241*g**2. Find the first derivative of h(k) wrt k.
153*k**2
What is the third derivative of -7*f**3 - 46 + 2*f**3 + 13 + 19 + 16 + 43*f**2 wrt f?
-30
Let p be (21/14)/(2/(-48)*-3). What is the first derivative of 11*r**3 + p + 39 + 144*r - 145*r wrt r?
33*r**2 - 1
Let a(i) be the second derivative of 11*i**7/14 - 3*i**5/20 + 5*i**4/6 - 93*i + 2. Find the third derivative of a(k) wrt k.
1980*k**2 - 18
Let z(o) be the third derivative of o**6/72 - 3*o**4/8 + 17*o**3/6 + 5*o**2. Let t(w) be the first derivative of z(w). Find the first derivative of t(m) wrt m.
10*m
Let v(w) be the second derivative of 127*w**4/6 - 129*w**2/2 + 173*w. What is the derivative of v(t) wrt t?
508*t
Find the third derivative of -7 - 2*y**2 - 13 + 18 - 130*y**6 wrt y.
-15600*y**3
Find the second derivative of 47 - 5*b**3 - b + 9*b**3 + 75*b**3 wrt b.
474*b
Suppose 4*i = 5*a + 5 + 2, a = i - 2. What is the second derivative of -w**3 - 2*w**3 + 12*w - 5*w**i wrt w?
-48*w
Let w(z) be the second derivative of -10*z**7/7 - z**5/10 + 83*z**4/12 - 60*z. What is the third derivative of w(m) wrt m?
-3600*m**2 - 12
Let u(c) = 216*c**3 - 7*c**2 - c + 1712. Let s(r) = 106*r**3 - 3*r**2 + 856. Let x(f) = 7*s(f) - 3*u(f). What is the first derivative of x(t) wrt t?
282*t**2 + 3
Let p(u) = -12*u + 54 - 24*u + 10*u - 15*u. Let x(o) = -21*o + 27. Let m(t) = 2*p(t) - 5*x(t). Find the first derivative of m(k) wrt k.
23
Let y(z) = 53*z**3 - 27*z**2 - 11*z - 184. Let d(v) = -18*v**3 + 9*v**2 + 4*v + 61. Let a(q) = -17*d(q) - 6*y(q). Find the second derivative of a(c) wrt c.
-72*c + 18
Let x = 105 + -98. Let o(v) be the second derivative of 0*v**3 + 0 + x*v**2 + 7/12*v**4 - 6*v. What is the first derivative of o(g) wrt g?
14*g
Let f(p) be the first derivative of 5*p**5 - 3*p**4/4 + p**3/3 + 45*p**2/2 - 27. Find the third derivative of f(o) wrt o.
600*o - 18
Let a(f) be the first derivative of -7*f**3 + 3*f**2 - 6. Let n(y) = -41*y**2 + 11*y. Let q(d) = -5*a(d) + 2*n(d). Find the second derivative of q(s) wrt s.
46
Let s(g) be the second derivative of g**8/280 + 7*g**4/12 - 8*g**3/3 - 10*g. Let y(h) be the second derivative of s(h). What is the derivative of y(u) wrt u?
24*u**3
What is the first derivative of 7 + 8 + 215*b**4 - 3 + 27 - 80*b**4 wrt b?
540*b**3
Let j(o) be the third derivative of -1/21*o**7 + 0*o**5 + 0*o + 1 - 10*o**2 + 0*o**6 - 1/2*o**4 + 1/3*o**3. Find the second derivative of j(g) wrt g.
-120*g**2
Let m(v) = -v**3 + 4*v + 1. Let j(a) = -415*a**3 - 242*a**2 - 24*a - 6. Let w(y) = -j(y) - 6*m(y). What is the third derivative of w(b) wrt b?
2526
Let l(t) = 85*t**3 + t + 27. Let b(s) = 42*s**3 + 14. Let g = 133 - 135. Let x(k) = g*l(k) + 5*b(k). What is the second derivative of x(u) wrt u?
240*u
Suppose 3*n - 10 - 6 = -5*m, 4*m - 16 = -4*n. Find the third derivative of 2*f**m - f**3 - 3*f**2 + 3*f**3 + 5*f**2 wrt f.
12
What is the second derivative of 1172*r**3 + r**2 - r**2 + 170 - 1172*r**3 + 300*r**5 + 2*r wrt r?
6000*r**3
Let j(a) = -3*a**2 + a - 1. Let n(c) = -79*c**2 - 3*c + 55. Let m(s) = -4*j(s) - 2*n(s). What is the second derivative of m(i) wrt i?
340
Let f(y) = -234*y**3 + 12*y**2 + 711. Let d(c) = 3*c**3 - c**2. Let b(r) = -12*d(r) - f(r). What is the first derivative of b(i) wrt i?
594*i**2
Let x(k) = k**3 - 12*k**2 - 2*k + 26. Let u be x(12). What is the second derivative of -37*w**2 + 14*w**u - 3*w + 17*w**2 wrt w?
-12
Let k(r) be the second derivative of 0*r**5 + 2*r**3 + 0*r**2 - 26*r + 1/2*r**6 + 0*r**4 + 0. What is the second derivative of k(o) wrt o?
180*o**2
Let q(k) be the first derivative of k**8/336 - k**6/24 + 13*k**3/3 + 14. Let u(l) be the third derivative of q(l). Find the third derivative of u(j) wrt j.
120*j
Suppose 164 = 4*v + 5*o, -2*v - 8*o = -4*o - 76. Find the first derivative of 18 - 92 - 7*s**4 + v wrt s.
-28*s**3
Let l(m) be the first derivative of 20 + 0*m**3 + 7/2*m**4 + 0*m**2 + 9*m. Differentiate l(z) with respect to z.
42*z**2
Let n = 409 + -404. Let i(g) be the second derivative of 11/2*g**2 + 0*g**4 + 0*g**n + 0*g**3 + 0 + 4/15*g**6 - 11*g. Differentiate i(p) wrt p.
32*p**3
Find the first derivative of -15 - 70 + 35*z - 11 + 42*z wrt z.
77
What is the third derivative of 36*g**6 - 233*g**6 + g + 11*g**2 + 127*g**6 wrt g?
-8400*g**3
Let q = 0 + 8. Differentiate q + 5 + x**2 -