s
Let k(n) = -8*n**4 - n**2 - 2*n - 3. Let u(c) = c**4 + c**2 - c. Let q(r) = k(r) + u(r). What is the derivative of q(g) wrt g?
-28*g**3 - 3
Let o(g) be the third derivative of 34*g**7/105 + 91*g**4/24 + g**2 - 8*g. Find the second derivative of o(c) wrt c.
816*c**2
Let p(f) = 75*f**2 + 8*f - 5. Let b(g) = -150*g**2 - 17*g + 11. Let u(h) = -3*b(h) - 7*p(h). Find the second derivative of u(w) wrt w.
-150
Let a(r) be the second derivative of -17*r**6/10 + 55*r**4/12 + r - 20. Find the third derivative of a(y) wrt y.
-1224*y
Suppose 14*c = 16*c - 2. Let o(g) = 5*g**3 - g + 1. Let i be o(c). Find the third derivative of 5*f - i*f**6 - 3*f**2 - 5*f wrt f.
-600*f**3
Let i(n) be the third derivative of n**9/504 - n**8/336 - 5*n**5/12 + n**4/24 - 47*n**2. Find the third derivative of i(g) wrt g.
120*g**3 - 60*g**2
Let w(n) = 6*n**3 - n**2 - 1. Let g(f) = -f**2 + f - 1. Let u be (-2)/(-4) - (-95)/(-38). Let k(y) = u*g(y) + 2*w(y). Find the second derivative of k(c) wrt c.
72*c
What is the second derivative of 806 + l + 77*l**3 - 7*l - 817 + 10*l wrt l?
462*l
Let r(f) be the first derivative of -141*f**2/2 + 236*f + 253. Differentiate r(p) with respect to p.
-141
Find the first derivative of 31 + 9 - 81*o**3 + 22*o**2 - 22*o**2 - 14 wrt o.
-243*o**2
Suppose 0 = -2*p + 6 + 4, l + 2*p - 22 = 0. Find the third derivative of -l*b**2 + 5*b**6 + 22*b**2 + 25*b**2 wrt b.
600*b**3
Find the second derivative of -77*p - 2 - 3*p - 43*p**5 + 7*p + 0*p**2 + 2*p**2 wrt p.
-860*p**3 + 4
Let l(t) = -6*t**2 + 13*t + 111. Let q(c) = 11*c**2 - 23*c - 222. Let u(y) = -10*l(y) - 6*q(y). Differentiate u(p) wrt p.
-12*p + 8
Find the second derivative of 3*y**3 + 71 + 84 - 12*y**2 - 155 - 41*y wrt y.
18*y - 24
What is the second derivative of 204*f**5 + f + 3 - 10 + 14*f**5 + 7*f wrt f?
4360*f**3
Let f(l) = 122*l**4 + 125*l**2 - 11*l - 5. Let n(i) = 41*i**4 + 42*i**2 - 4*i - 2. Let m(k) = 4*f(k) - 11*n(k). Find the third derivative of m(u) wrt u.
888*u
Let b(v) be the second derivative of -153*v**4/4 + 74*v**3 - 424*v. What is the second derivative of b(y) wrt y?
-918
What is the first derivative of 118 + 701*g**3 - 302 - 604*g**3 wrt g?
291*g**2
Let s(j) be the third derivative of 0 + 0*j**4 - 1/2*j**3 + 0*j - j**2 + 0*j**5 + 1/30*j**6. What is the derivative of s(b) wrt b?
12*b**2
Let x(c) be the first derivative of 211*c**6/2 - 121*c**2/2 + 612. What is the second derivative of x(t) wrt t?
12660*t**3
Let r = -32 + 34. Find the first derivative of r*a**3 - 11*a + 4*a - 30 + 12 wrt a.
6*a**2 - 7
Let b(j) be the second derivative of 0*j**6 + 0*j**3 + 0*j**5 - 1/42*j**7 - 17/12*j**4 - 5*j + 0*j**2 + 0. What is the third derivative of b(v) wrt v?
-60*v**2
Let l(s) be the second derivative of 1/3*s**4 + 0*s**2 + 0*s**7 - 2*s + 0*s**6 + 0 + 13/28*s**8 + 0*s**3 + 0*s**5. What is the third derivative of l(n) wrt n?
3120*n**3
Suppose -4*u = 12, u - 54 = -3*c + 63. Let x = -28 + c. What is the first derivative of -4 - 1 + 6 + 8 - x*f**3 wrt f?
-36*f**2
Let p(v) = v**2 + v - 8. Let z be p(-6). Suppose -4*o - 4*y = o - 12, 5*y + z = 3*o. What is the third derivative of -k**o + 7*k - 7*k - 7*k**2 wrt k?
-24*k
Let k = 72 + -38. Find the second derivative of -88*l**3 - k*l + 106*l**3 + 3 - 3 wrt l.
108*l
Let v(i) be the second derivative of 164*i**4/3 - 390*i**2 + 49*i. Find the first derivative of v(d) wrt d.
1312*d
Suppose -8*f + 90 - 34 = 0. What is the second derivative of -23*o**3 - 28*o - f*o**3 - 7*o + 14*o**3 wrt o?
-96*o
Let i(j) be the first derivative of 11*j**6/180 + j**4/2 + 22*j**3/3 + 23. Let o(q) be the third derivative of i(q). What is the first derivative of o(y) wrt y?
44*y
Find the first derivative of 138*b + 136*b + 122 - 287*b wrt b.
-13
Let l(f) = -226*f + 160. Let o(z) = -564*z + 400. Let u(m) = 12*l(m) - 5*o(m). Differentiate u(v) wrt v.
108
Let b(c) be the first derivative of -c**4/2 - 199*c**3/3 + 483*c - 987. Differentiate b(j) wrt j.
-6*j**2 - 398*j
Let z(g) be the second derivative of -g**8/112 + 4*g**5/15 + g**2/2 + 7*g. Let l(h) be the first derivative of z(h). What is the third derivative of l(b) wrt b?
-180*b**2
Let f(y) be the first derivative of 212*y**3/3 - 47*y**2 - 79. Find the second derivative of f(b) wrt b.
424
Suppose 3*r - 130 + 22 = 0. Let s be (-3)/(r/40)*-6. What is the third derivative of -11*v**3 + 2*v**2 + s*v**3 - 10*v**3 wrt v?
-6
Let d(v) = -v**2 + 8*v + 6. Let y be d(8). Let n(x) be the first derivative of -x - 8 - y - 2*x**4 + 0*x**4 - x. What is the first derivative of n(m) wrt m?
-24*m**2
Let o(b) be the second derivative of -11*b**3/6 + 270*b**2 - 174*b + 1. What is the derivative of o(z) wrt z?
-11
Let b(w) = -w + 2. Let o(p) = -65*p + 32. Let j(y) = -6*b(y) - o(y). Differentiate j(m) wrt m.
71
Let l(s) = 7*s**2 + 12*s. Let x be (-2 - 3)/1 + 0. Let u(q) = 7*q**2 + 12*q. Let t(m) = x*u(m) + 4*l(m). Find the second derivative of t(c) wrt c.
-14
Let m(z) = 3*z**2 + z + 4. Let l be m(-3). What is the third derivative of -13*n**3 + 28 + 16*n**2 - l + 15*n**2 wrt n?
-78
Let f(m) = m**4 + 2*m**3 + m**2 + 1. Let v(h) = -134*h**4 - 4*h**3 - 2*h**2 - 185. Let y(b) = 2*f(b) + v(b). Differentiate y(w) wrt w.
-528*w**3
Differentiate 363 - 134 - 2*m**4 - 181 - 4*m**3 with respect to m.
-8*m**3 - 12*m**2
Let k = 64/21 - 12/7. Let a(h) be the third derivative of 0 - 4*h**2 + 0*h + 0*h**4 - k*h**3 + 1/20*h**6 + 0*h**5. Differentiate a(c) wrt c.
18*c**2
Suppose 37*m = 21*m + 48. Let v(z) be the first derivative of 0*z**m + 0*z**4 + 0*z**2 - 2 - 9*z + 3/5*z**5. Differentiate v(t) wrt t.
12*t**3
Let y(s) = -s - 2. Let k be y(-4). Suppose -k = 3*m - 8. What is the second derivative of 4*d**m + 6*d - d**2 - 7*d**3 - 3*d**2 wrt d?
-42*d
Differentiate 61*w - 139 + 242 + 30*w wrt w.
91
Let l(o) = -2*o - 36. Let n be l(-21). Find the third derivative of 14*y**6 - 36*y**2 + 16*y**n - 11*y**6 wrt y.
2280*y**3
Let s(i) = i**3 - 9*i**2 + 10*i - 3. Let m be s(8). Let y(c) = 7*c + 9. Let x(r) = -13*r - 19. Let v(b) = m*y(b) + 6*x(b). Differentiate v(n) with respect to n.
13
Let d(p) be the first derivative of -2*p**5 + p**4/4 - 10*p**3/3 - 5*p**2/2 + 96. What is the third derivative of d(g) wrt g?
-240*g + 6
Let l be -4*(-2)/(-4) - -4. Find the first derivative of l*z**2 + 0*z**2 + 1 - 10*z**4 - 2*z**2 wrt z.
-40*z**3
What is the derivative of -552*y - 3239 + 10621 - 3522 - 3210 wrt y?
-552
Let p(b) be the third derivative of -b**6/12 + 26*b**4/3 + 2*b**2 + 300. What is the second derivative of p(c) wrt c?
-60*c
Let k be (-6)/(-15)*(-135)/(-18). Find the second derivative of -32*f**k - 321*f**2 + 24*f + 321*f**2 wrt f.
-192*f
Suppose 0 = -3*j + 2*f + 4, -3*j + 0*f + 8 = 2*f. What is the second derivative of 7*d + 15*d**3 + 29*d**3 + j + 4*d wrt d?
264*d
Let f(c) = 504*c + 94. Let l(w) = -503*w - 91. Let v(z) = 6*f(z) + 7*l(z). Find the first derivative of v(m) wrt m.
-497
Let o(t) be the second derivative of 22*t**6/15 + t**4/12 + 76*t. What is the third derivative of o(k) wrt k?
1056*k
Let c(m) = 3*m**2 + m - 1. Let w be c(2). Suppose q = 5*p - 7, -2*q + w + 18 = 5*p. Differentiate -2 - 10*l**3 - 1 + q*l**3 wrt l.
-6*l**2
Let u(f) be the second derivative of -7*f**5/5 - f**4/4 + 17*f**2 - 28*f. Differentiate u(w) with respect to w.
-84*w**2 - 6*w
Let u(q) = 2*q**2 - 32*q - 32. Let s be u(17). What is the third derivative of -22*c**3 - 12*c**2 - 6*c**2 - 5*c**2 + 14*c**s wrt c?
-132
Let x(p) = -p**3 - 10*p**2 + 11*p + 1. Let s be x(-11). Suppose 4*q - 9 + s = 0. Find the third derivative of 11*k**q + 7*k**4 - 21*k**2 + 11*k**2 wrt k.
168*k
Suppose 5*a - 7 = -3*h, 2*h - 18 = -2*h + 2*a. What is the second derivative of 13*p + 9*p**h + 8*p**4 + 2*p**4 wrt p?
228*p**2
Let z(g) = -342*g**2 + 48. Let r(v) = -2*v**2 - 1. Let u(k) = -8*r(k) - z(k). What is the derivative of u(x) wrt x?
716*x
What is the third derivative of 10*u**2 + 15 + 19*u**4 - 26*u**2 - 57*u**2 - 13 wrt u?
456*u
Let x(f) = 221*f**2 - 7*f - 922. Let j(w) = -110*w**2 + 3*w + 460. Let q(s) = -13*j(s) - 6*x(s). Differentiate q(y) with respect to y.
208*y + 3
Suppose 2*c + 4*n = -14 - 10, -5*c - 3*n - 60 = 0. Let h be ((-6)/c)/((-2)/(-20)). Find the first derivative of h*r - 5*r + 0*r + r - 4 wrt r.
1
Let p(s) be the second derivative of -2*s**3 + 2*s**4 - 2*s**4 + 16*s + 3*s**3 + s**4. Find the se