Let y(h) = -104*h**2 + 20*h. Let n(d) = 41*d**2 - 8*d. Let x(g) = -12*n(g) - 5*y(g). What is the second derivative of x(z) wrt z?
56
Suppose 0 = -2*h, 108 = 5*g - 5*h + 3. Find the first derivative of g*r - 9 - 2 + 27 wrt r.
21
Let b(n) be the second derivative of 0 - 16/21*n**7 + 0*n**4 + 47/6*n**3 + 0*n**5 + 0*n**2 + 26*n + 0*n**6. What is the second derivative of b(j) wrt j?
-640*j**3
Differentiate -102 + 26 - 63 - 3173*p + 3248*p with respect to p.
75
Let a = 89 - 83. Let l(b) be the second derivative of 0*b**4 + 5*b + 2/15*b**a + 0 + 0*b**5 + 1/3*b**3 + 0*b**2. Find the second derivative of l(i) wrt i.
48*i**2
What is the derivative of 14043 + 106*g**3 - 14219 - 388*g**3 wrt g?
-846*g**2
Let c(x) = 925*x**3 + 1040*x**2 + 20*x. Let q(y) = -308*y**3 - 346*y**2 - 6*y. Let v(k) = 3*c(k) + 10*q(k). What is the third derivative of v(j) wrt j?
-1830
Let j(w) be the second derivative of 67*w**8/7 - 257*w**4/6 - 15*w + 2. Find the third derivative of j(t) wrt t.
64320*t**3
Let o(q) be the second derivative of -1/2*q**3 + 0 - 18*q + 0*q**2 - 17/12*q**4. What is the second derivative of o(f) wrt f?
-34
Suppose 0 = -5*x - 1 + 11. Differentiate k**4 - 496*k**2 - 5 + 496*k**x with respect to k.
4*k**3
Let d(f) = -2*f - 4. Let s(k) be the second derivative of k**3/6 - k**2/2 - 6*k. Let z(a) = d(a) - 6*s(a). Differentiate z(v) with respect to v.
-8
Let t(n) be the second derivative of 37*n**4/6 - 28*n**3/3 + 3*n - 18. Find the second derivative of t(m) wrt m.
148
Let x(g) be the second derivative of 17*g**8/6720 + g**5/5 + 7*g**4/3 - 10*g. Let m(z) be the third derivative of x(z). Differentiate m(c) with respect to c.
51*c**2
What is the second derivative of -6*s - 5*s**2 + s**2 - 140*s + 6*s**3 + 15*s wrt s?
36*s - 8
What is the third derivative of -228*x**2 + 44*x**3 + 2466 - 2*x**4 - 2466 - 6*x**3 wrt x?
-48*x + 228
What is the second derivative of -47*q**3 - 64*q**3 - 34*q**3 - 15 - 15*q**3 + 37*q**3 - 5*q wrt q?
-738*q
Let q(u) = -u**3 + 12*u**2 + u - 6. Let n be q(12). Let x = n + 0. Find the second derivative of m - 1 + 3 - 2 + x*m**4 wrt m.
72*m**2
Let q(h) = 142*h**5 - 12*h**3 + h**2. Let s(k) = 285*k**5 - 22*k**3 + 3*k**2 - 1. Let y(d) = -11*q(d) + 6*s(d). What is the third derivative of y(x) wrt x?
8880*x**2
Let y be (-1)/(-2) + 885/30. Suppose -y*m = -28*m. Differentiate 3*d + 6*d + 0*d + m*d - 12 with respect to d.
9
Let a(d) be the first derivative of 6*d**2 + 0*d**5 + 0*d**4 + 0*d + 0*d**3 + 13 - 2/3*d**6. What is the second derivative of a(j) wrt j?
-80*j**3
Let h = -490 - -750. Let v = -4 - -10. What is the derivative of -260*b**2 + 2*b**4 - v + h*b**2 wrt b?
8*b**3
Differentiate -393 - 75*f**2 - 126*f**2 + 22 + 70*f**2 wrt f.
-262*f
Let m(q) be the first derivative of 55*q**3/3 + 399*q**2/2 - 528. What is the second derivative of m(z) wrt z?
110
Let z(j) = -j**5 + j**4 + j**2 - j + 1. Let k(u) = 3*u**5 - 14*u**4 - 2*u**2 - 32*u - 4. Let b(y) = -k(y) - 2*z(y). What is the second derivative of b(p) wrt p?
-20*p**3 + 144*p**2
Let j = -20 + 23. What is the third derivative of i**3 - 2*i**3 + 24*i**2 + 0*i**3 + 4*i**j wrt i?
18
Let j = 16 - 24. Let y = 17 + j. Find the first derivative of 0*k**3 - 2*k**3 + 9 - y*k**4 + 2*k**3 wrt k.
-36*k**3
Differentiate 114 + 59 - 5*v - 37 + 0 wrt v.
-5
Differentiate 1817*s**2 - 602 - 5*s**3 + 64*s - 1817*s**2 with respect to s.
-15*s**2 + 64
Suppose -3*l - 33 = 2*l - 4*t, -12 = 4*t. Let v be (-69)/(-15) - l/(-15). What is the third derivative of -c**6 - v*c**6 + 4*c**2 + 0*c**6 wrt c?
-600*c**3
Find the first derivative of -1 + 1 - 367*c - 1 - 9 + 1 wrt c.
-367
Suppose -o = -0 - 1. Let b(s) = 8*s**4 + 3*s**2 - 11. Let r(u) = u**2. Let c(w) = o*b(w) - 3*r(w). Differentiate c(g) wrt g.
32*g**3
Let n(w) = -383*w - 678. Let c(y) = 384*y + 681. Let x(v) = -3*c(v) - 2*n(v). Find the first derivative of x(t) wrt t.
-386
Suppose 0 = -3*t + 9 - 0. Suppose -4*s + o + 9 + 6 = 0, 0 = 4*s + t*o - 19. What is the third derivative of 0*m**s - m**4 - 4*m**4 - 5*m**4 + 5*m**2 wrt m?
-240*m
Suppose -5*g - 17 = 4*s, s + 1 = -s - g. Find the third derivative of 13*f**4 + 7*f**2 - 6*f**4 + 14*f**4 - 8*f**s wrt f.
504*f
Let b = 427 - 422. Let j(d) be the second derivative of 7/6*d**3 + 0*d**2 - 4*d + 0*d**4 + 0 - 3/10*d**b. What is the second derivative of j(s) wrt s?
-36*s
Suppose -5*c + 5*x + 119 = -41, x = -c + 22. Differentiate -2*m + c + 18*m**2 + 2*m - 3 with respect to m.
36*m
Let m(b) = -b**2 + 9*b + 23. Let r be m(6). Differentiate 22*t + r + 5*t**3 - 33*t - 6*t**3 wrt t.
-3*t**2 - 11
Let v(w) be the third derivative of 61*w**6/60 - w**5/60 + w**4/12 + w**3/2 - 89*w**2. What is the second derivative of v(a) wrt a?
732*a - 2
Let z = -76 + 135. What is the third derivative of z*w - 15*w**2 - 5*w**3 - 59*w wrt w?
-30
What is the first derivative of 1291 + 24*p + 2*p**2 - 1348 + 22*p wrt p?
4*p + 46
Find the first derivative of -14 + 2*p**3 - 85*p**3 + 21 + 42 - 18*p**3 wrt p.
-303*p**2
Let s(f) be the third derivative of -f**6/8 + f**5/30 - 73*f**4/8 - f**2 + 11. Find the second derivative of s(n) wrt n.
-90*n + 4
Let g(o) be the second derivative of -19*o**7/105 + 2*o**5/5 + 11*o**2 + 4*o. Let t(a) be the first derivative of g(a). Find the third derivative of t(w) wrt w.
-912*w
Let p(d) = 240*d - 319. Let w(a) = -7. Let t(g) = p(g) + 3*w(g). Differentiate t(j) wrt j.
240
Let t(g) = -117*g + 187. Let y(k) = -118*k + 187. Let x(i) = 6*t(i) - 7*y(i). Differentiate x(w) wrt w.
124
Let b be (-4)/14 - 111/(-21). Let o(s) be the second derivative of 0*s**4 + 0 + 0*s**2 - 3/20*s**b - s + 2/3*s**3. What is the second derivative of o(l) wrt l?
-18*l
Find the third derivative of -17*h**5 - 2850*h**3 - 223*h**5 + 5707*h**3 - 2857*h**3 + 39*h**2 wrt h.
-14400*h**2
Let j(x) = -x**3 - 16*x**2 - 3*x - 38. Let r(a) = 2*a + 5*a + 34 + 42 + 31*a**2 + 2*a**3. Let z(f) = -7*j(f) - 3*r(f). Differentiate z(d) with respect to d.
3*d**2 + 38*d
Let z(f) = 1099*f**3 - 6*f**2 - 8*f + 38. Let n(w) = -732*w**3 + 4*w**2 + 5*w - 25. Let s(b) = 8*n(b) + 5*z(b). Find the third derivative of s(u) wrt u.
-2166
Let k be 5060/30 + (-4)/6. What is the second derivative of 8*g**4 - 168*g**2 + 3*g + k*g**2 wrt g?
96*g**2
Suppose -2*s = -3*q + 88, -2*q + 7*s + 77 = 2*s. Find the second derivative of 44*l**2 + 45*l**2 + 7*l**4 - 89*l**2 + q*l wrt l.
84*l**2
Let p(a) be the first derivative of -5/2*a**4 - 7 + 0*a + 4/3*a**3 + 0*a**2. What is the third derivative of p(w) wrt w?
-60
Differentiate 155*s**4 + 43 - 1354*s + 676*s + 678*s with respect to s.
620*s**3
Let z(y) = -9 - 11*y - 56 + 17*y. Let x(a) = -2*a + 21. Let h(d) = -8*x(d) - 3*z(d). Differentiate h(s) wrt s.
-2
Let n(z) be the first derivative of -31*z**4 + 133*z - 9. Differentiate n(d) wrt d.
-372*d**2
What is the third derivative of -2*c + 7*c**5 + 31*c**5 + 84*c**5 - 10*c**2 + 53*c**5 - 8*c**2 wrt c?
10500*c**2
Let s be ((-22)/(-4))/((-2)/(-4)). Suppose -278 = -10*l - 258. What is the first derivative of -6*x**2 - 19 + 11 + s*x**l wrt x?
10*x
Suppose 6*p - 189 - 27 = 0. Find the second derivative of -7*z**3 + 25*z - p*z**2 + 19*z**2 + 17*z**2 wrt z.
-42*z
Let g = 94 + -92. What is the third derivative of 12 + 8 + 25*j**5 - 20 + 23*j**g wrt j?
1500*j**2
Let n be ((-396)/(-154))/((-50)/56 - -1). Find the first derivative of 5 - n*o**3 + 7 + 3 - 4 wrt o.
-72*o**2
Let h = 14 + -15. Let g(t) = -10 + 25*t - 10 + 6*t**3 + 9*t**3. Let c(b) = -b**3 - b + 1. Let p(u) = h*g(u) - 25*c(u). Differentiate p(k) wrt k.
30*k**2
Let u(g) be the first derivative of -4*g**5/5 - 8*g**3 + g**2 - 55*g + 81. Find the second derivative of u(v) wrt v.
-48*v**2 - 48
Find the first derivative of 15*p**2 - 32*p**2 + 668*p**3 + 159 + 8*p**2 + 9*p**2 wrt p.
2004*p**2
What is the first derivative of 158*q + 809 + 153 + 184*q + 45 - 83*q wrt q?
259
Find the third derivative of 3543*v**3 + 35 - 3543*v**3 - 2*v**2 - 246*v**6 - 161 wrt v.
-29520*v**3
Let i(w) be the first derivative of 753*w**5/5 + w**2/2 + 415*w - 388. Differentiate i(t) with respect to t.
3012*t**3 + 1
Let w = -30 - -28. Let g be (w - (2 - 2)) + 4. What is the third derivative of 2*u**4 + g*u**4 - 3*u**2 - u**4 - 5*u**4 wrt u?
-48*u
Let i(r) be the first derivative of 0*r**2 - 1/6*r**6 + 0*r**4 + 1 + 5*r**3 + 0*r**5 + 0*r. What is the third derivative of i(q) wr