c**6. Find the second derivative of n(d) wrt d.
300*d**3
Let h(q) be the first derivative of 0*q + 0*q**5 + 0*q**2 + 16/7*q**7 + 0*q**6 - 25/3*q**3 + 17 + 0*q**4. Find the third derivative of h(g) wrt g.
1920*g**3
Suppose 4*r = 5*p + 16, 2*p = 2*r + r - 12. Let y(t) be the first derivative of 7/4*t**r - 6 + 0*t**3 + 0*t**2 + 14*t. What is the derivative of y(a) wrt a?
21*a**2
Suppose 4*t = 5*i - 2, -5*i = -5*t - 2*i + 4. Let p(y) be the first derivative of 5*y + 0 + 44*y**4 - 2 - 46*y**4 - t*y. Differentiate p(m) with respect to m.
-24*m**2
Find the second derivative of -111*d + 19*d**4 + 70*d - 247*d + 8*d**4 - d**5 wrt d.
-20*d**3 + 324*d**2
Let w(c) be the third derivative of -1/70*c**7 + 0 + 0*c**5 - 19*c**2 + 0*c - 17/24*c**4 + 0*c**6 + 0*c**3. What is the second derivative of w(m) wrt m?
-36*m**2
Let b = 1952/3 - 650. Let n(z) be the second derivative of 0*z**2 + 4*z + b*z**4 + 0 + 2/3*z**3. Find the second derivative of n(d) wrt d.
16
Let m(s) be the third derivative of 0*s**3 + 0*s**6 + 0 + 0*s + 5/24*s**4 + 0*s**5 + 1/35*s**7 + 2*s**2. Find the second derivative of m(z) wrt z.
72*z**2
Let d(r) = 3*r**2 - 109*r. Let t(o) = 3*o**2 - 110*o. Let v(h) = 5*d(h) - 4*t(h). What is the second derivative of v(n) wrt n?
6
Suppose 3*v - 4*t = -2*v + 34, -t - 19 = -3*v. Let q be (v/(-6))/(2/(-18)). What is the derivative of 9*b + 6 - 10*b**4 - q*b wrt b?
-40*b**3
Let o(v) be the first derivative of -v - 2/3*v**3 + 0*v**2 - 9. Differentiate o(p) wrt p.
-4*p
Let p(k) = 209*k + 220. Let v(a) = -70*a - 73. Let i(q) = -3*p(q) - 8*v(q). Find the first derivative of i(t) wrt t.
-67
What is the second derivative of 16*z**3 + 16*z**3 - 151*z**5 + 1 - 32*z**3 - 107*z wrt z?
-3020*z**3
Let v(l) be the second derivative of -47*l**4/4 + 13*l**3/6 - l**2/2 + 72*l. What is the second derivative of v(p) wrt p?
-282
Let f(v) = -v**3 + 6*v**2 + 1. Suppose 3*q - 13 = -5*d + 2, -3*d = -q - 23. Let c be f(d). Differentiate -2*n + c + 7*n + 4*n + 0 wrt n.
9
Let x(b) be the second derivative of b**7/2520 - b**5/60 - b**4 + 11*b. Let q(t) be the third derivative of x(t). Differentiate q(k) with respect to k.
2*k
Let o(j) be the second derivative of -153*j**6/10 - 625*j**4/12 + 34*j. Find the third derivative of o(d) wrt d.
-11016*d
Find the second derivative of 0*m**4 + 4 + 2 + 2*m**4 - 16*m + 8*m**4 - 5*m**2 + 9*m**2 wrt m.
120*m**2 + 8
Suppose -24*r = -23*r. Let o(i) be the first derivative of 0*i**2 + r*i**3 + 0*i**4 + 6*i - 2/5*i**5 + 6. What is the first derivative of o(s) wrt s?
-8*s**3
What is the second derivative of 75*y**2 - 189*y - 90*y - 30*y**2 + 64*y**2 + 98*y**2 wrt y?
414
Let m(g) be the second derivative of 101*g**6/30 + g**5/20 + 43*g**2/2 + 5*g - 2. What is the first derivative of m(w) wrt w?
404*w**3 + 3*w**2
Let s = 13 + -5. What is the third derivative of 0*g**2 + 8*g**2 + s*g**4 + g**4 wrt g?
216*g
Let m(c) be the first derivative of -131*c**4/4 - 35*c**3/3 - c**2/2 + 7. Find the third derivative of m(z) wrt z.
-786
Let o be -33*((-6)/(-9) - 1). Let d = -9 + o. What is the third derivative of g**2 - d*g**4 - 4*g**2 + 6*g**2 wrt g?
-48*g
Let h = 61 - 59. Find the first derivative of -6*l**4 - 7*l**4 - h - 3 wrt l.
-52*l**3
Find the third derivative of 254*h**4 + 44*h**2 - 57*h**4 + h - h + 235*h**4 wrt h.
10368*h
Let u be ((1 + 2)/3)/((-4)/(-8)). Find the second derivative of -11*y**5 - 24*y**2 + 6*y + 24*y**u + 3*y wrt y.
-220*y**3
What is the second derivative of -864*c - 437*c**5 + 1175*c**5 - 612*c**5 wrt c?
2520*c**3
Let p(l) be the third derivative of l**8/336 + 41*l**7/210 - 23*l**5/15 - 59*l**2. What is the third derivative of p(y) wrt y?
60*y**2 + 984*y
Let x(q) = -q**3 + 8*q**2 - 5*q + 4. Let o be x(5). Find the second derivative of 2 - 37*c**3 - 7*c + o*c**3 - 2 wrt c.
102*c
Let u(l) = -43*l**3 - 8*l**2 - 2*l - 202. Let o(i) = -172*i**3 - 36*i**2 - 9*i - 807. Let k(v) = -2*o(v) + 9*u(v). What is the first derivative of k(w) wrt w?
-129*w**2
Let x(d) = -d - 8. Let p be x(-6). Let y be 3*(3 + p)*1. Find the third derivative of -2*w**3 + w - w**2 - w**y - w wrt w.
-18
Let c(p) be the first derivative of -p**6/2 + 9*p**5/5 - 30*p**3 - 5. What is the third derivative of c(z) wrt z?
-180*z**2 + 216*z
Let a(n) = n**2 - 6*n + 5. Let p be a(6). Suppose -10 = p*b, 2*r + 5*b + 3 = -3. What is the third derivative of c**6 + r*c**2 - 4 + 6*c**6 + 4 wrt c?
840*c**3
Let b(o) be the second derivative of 5*o**6/3 - o**4/6 - 169*o**3/6 - 73*o. Find the second derivative of b(k) wrt k.
600*k**2 - 4
What is the second derivative of 8*r**2 - r**3 - 8*r**3 - 5*r**2 - 3*r**2 + 116*r - 2*r**5 wrt r?
-40*r**3 - 54*r
Let t(l) be the second derivative of -19*l**7/42 - l**5/10 + 49*l**3/3 - 7*l. What is the second derivative of t(a) wrt a?
-380*a**3 - 12*a
Let j(k) be the third derivative of 42*k**2 + 7/40*k**6 + 0 + 0*k**3 + 0*k + 23/60*k**5 + 0*k**4. Find the third derivative of j(x) wrt x.
126
Let w(a) be the third derivative of -a**2 + 0 + 0*a + 3/8*a**4 + 1/15*a**6 + 0*a**3 + 0*a**5. Find the second derivative of w(c) wrt c.
48*c
Let m(k) = 12*k**3 - 9*k**2 + 11. Let o(u) = -u**4 + u**3 - 2*u**2 - 1. Let a(t) = -m(t) - 3*o(t). Find the third derivative of a(s) wrt s.
72*s - 90
What is the third derivative of -341*m**2 + 127*m**2 + 0 + 420*m**6 - 3 - 101*m**6 wrt m?
38280*m**3
Let r(s) = 4*s**5 + 111*s**3 + 2*s**2 + 25*s - 2. Let f(w) = w**5 + w**2 - w - 1. Let z(l) = 2*f(l) - r(l). What is the second derivative of z(p) wrt p?
-40*p**3 - 666*p
Let w(i) = -i**6 + i**5 - i**3. Let f(c) = -2*c**6 - 15*c**5 - 6*c**3 + 2*c**2 + 6*c. Let h(m) = f(m) - 6*w(m). Find the third derivative of h(g) wrt g.
480*g**3 - 1260*g**2
What is the first derivative of -29*f - 6*f + 215 + 208 - 3*f wrt f?
-38
Let s(f) = -97*f**2 - 81*f - 2. Let x(g) = -294*g**2 - 242*g - 7. Let a(o) = 14*s(o) - 4*x(o). Find the second derivative of a(t) wrt t.
-364
What is the third derivative of -5*a**2 + 842*a**4 - 70 + 0*a**2 - 1651*a**4 + 3*a**2 wrt a?
-19416*a
Suppose -2*v - 1 = -3*v - 3*o, -5*o - 1 = -v. Let t(l) = l**3 - 2*l + 1. Let n be t(v). What is the second derivative of n*u - 2*u**2 + 2*u - u**2 wrt u?
-6
Let s(p) be the first derivative of 40*p**5 + 79*p + 104. Find the first derivative of s(o) wrt o.
800*o**3
Let x(j) = -1283*j**2 - 493*j + 14. Let p(k) = 427*k**2 + 164*k - 5. Let a(d) = 8*p(d) + 3*x(d). Find the second derivative of a(c) wrt c.
-866
Let d(n) = -2*n - 6. Let w be -1 + -1 - (2 - -2). Let c be d(w). Find the third derivative of 43*s**3 + 5*s**c + 5*s**2 - 43*s**3 wrt s.
600*s**3
Let t(a) = 49*a**4 - 35*a**3 - 35*a**2 - 35*a - 63. Let q(d) = d**4 - d**3 - d**2 - d. Let h(p) = -35*q(p) + t(p). Differentiate h(w) wrt w.
56*w**3
Find the second derivative of 698*w**4 - 131*w - 252*w - 891*w**4 wrt w.
-2316*w**2
Let u = 211/2 + -1579/15. Let i(o) be the third derivative of 0*o + 0 - u*o**5 + 0*o**4 - o**2 + 7/6*o**3. What is the derivative of i(t) wrt t?
-28*t
Suppose -15*g = -14*g - 4. Find the third derivative of 11*d**g + 8*d**2 + d**2 + 3*d**2 + 2*d**4 wrt d.
312*d
Let t(y) = y**3 - 7*y**2 + 7*y - 1. Let f be t(6). What is the second derivative of -b**f - 1 + 3*b**5 + 32*b**2 - 28*b**2 - 37*b + 6*b wrt b?
40*b**3 + 8
Let o be 5 - (-8)/(-6 - -2). Let m(q) = -q**3 + 4*q**2 - 3*q + 3. Let l be m(o). Find the third derivative of -14*r**2 + 15*r**l - r**3 + r**2 - r**3 wrt r.
78
Let r(l) be the third derivative of 11*l**6/20 - 23*l**4/24 - l**3/6 - 2*l**2 - 178*l. Find the second derivative of r(b) wrt b.
396*b
Let k(h) = h**2 + 3*h - 3. Let v be k(-6). Find the second derivative of 142 - v*g - 26*g**4 - 142 wrt g.
-312*g**2
What is the derivative of 520*l + 295*l - 153 - 1004*l wrt l?
-189
Let x(g) = 2*g. Let i be x(5). Suppose -i = -3*k - 1. Find the third derivative of 3*w**k + 4*w**3 - 4*w**3 + 2*w**2 wrt w.
18
Let d(v) be the third derivative of 0*v + 0*v**5 + 2*v**2 + 0*v**3 - 1/120*v**6 + 0 + 5/24*v**4. What is the second derivative of d(q) wrt q?
-6*q
Let j(a) be the third derivative of -13*a**7/210 + a**6/30 + 8*a**5/15 - a**4/24 + 41*a**2 - 1. What is the third derivative of j(p) wrt p?
-312*p + 24
Let v(k) be the third derivative of -7*k**4/4 - 12*k**3 - 25*k**2. Differentiate v(s) wrt s.
-42
Find the second derivative of 61*v**4 + 34*v**2 - 68*v**2 + 32*v**2 + 