-2024*q**3
Let c(i) = -38*i**3 - 11*i**2 + 47*i + 10. Let r(n) = -19*n**3 - 6*n**2 + 24*n + 6. Let a(b) = -3*c(b) + 5*r(b). What is the second derivative of a(p) wrt p?
114*p + 6
Let s(u) be the first derivative of -17*u**6 - 117*u**2/2 + 35. What is the second derivative of s(j) wrt j?
-2040*j**3
Find the first derivative of 8 + 6 + 71*o**3 - 2*o**3 - 12*o**3 wrt o.
171*o**2
Suppose k + 4*w - 228 = -5, -3*w - 1138 = -5*k. What is the third derivative of 227*r**5 + 16*r**2 - 2*r**6 - k*r**5 wrt r?
-240*r**3
Differentiate -3*n**4 - 4*n**4 - n**3 + 3*n**4 + 2*n**4 - 84 with respect to n.
-8*n**3 - 3*n**2
Suppose -4*r - 5*t + 32 = 0, 5*r + 0*t + 5 = 5*t. Find the third derivative of 5*m**2 + m**r + 43*m**4 - m**3 - 26*m**4 wrt m.
408*m
Let q(b) = -26*b**2 + 39. Let z(p) = -1. Let m(s) = -q(s) - 5*z(s). Let k(h) = -13*h**2 + 17. Let f(i) = -5*k(i) - 3*m(i). Differentiate f(v) wrt v.
-26*v
Let w(z) be the third derivative of z**5 - z**4/24 + 3*z**3/2 + 9*z**2. Find the second derivative of w(b) wrt b.
120
Let v(c) = 2716*c**3 + 16*c**2 - 508*c - 10. Let j(h) = 543*h**3 + 3*h**2 - 102*h - 2. Let m(g) = 11*j(g) - 2*v(g). What is the second derivative of m(i) wrt i?
3246*i + 2
Let p(o) be the first derivative of -o**3/6 + 3*o**2 - 11*o + 12. Let z(j) be the first derivative of p(j). Find the first derivative of z(i) wrt i.
-1
Let j(d) = -7*d + 16. Let h(o) = -2*o + 5. Let b(n) = -n**2 - 13*n - 4. Let y be b(-12). Let i(p) = y*h(p) - 3*j(p). What is the first derivative of i(k) wrt k?
5
Let a(m) = -m + 1. Let x(g) = 4*g**2 - 4*g + 53. Let r(i) = 6*a(i) + x(i). What is the first derivative of r(y) wrt y?
8*y - 10
Let p(k) be the first derivative of 64*k**7/7 - 170*k**3/3 + 177. Find the third derivative of p(x) wrt x.
7680*x**3
Let b(j) be the third derivative of -11/120*j**6 + 0*j**3 + 0 - 1/12*j**5 + 0*j**4 - 3*j**2 + 0*j. What is the third derivative of b(o) wrt o?
-66
Let s(g) be the second derivative of -2*g**6/5 - 3*g**5/20 - g**4/12 + 13*g**3/3 + 5*g + 3. Find the third derivative of s(k) wrt k.
-288*k - 18
Suppose 10*z - 52 = -12. Find the second derivative of -21*p**4 + 25*p + 2*p**z - 6*p**4 wrt p.
-300*p**2
Let u(n) be the second derivative of n**7/168 + n**4/24 + 5*n**3/3 + 3*n. Let i(z) be the second derivative of u(z). What is the first derivative of i(f) wrt f?
15*f**2
Let h(y) be the third derivative of 5*y**5/12 + y**3/2 + 5*y**2. Differentiate h(p) wrt p.
50*p
Let k(i) = -1 + 27*i + 9*i**2 - 23*i + i**3 - 4*i**2. Let c be k(-2). What is the derivative of -18 - p**3 + 10*p**c + 29 wrt p?
27*p**2
Let a(x) be the second derivative of 3/4*x**5 + 0*x**3 + 23*x + 0*x**2 + 1/6*x**4 + 0. What is the third derivative of a(o) wrt o?
90
Let h be (-444)/(-114) - (-4)/38. What is the second derivative of -2*y - 2*y - 2*y + 0*y**h + 12*y**4 wrt y?
144*y**2
Find the second derivative of 19 - 7*g + 3 + 82*g**2 + 4*g + 35 wrt g.
164
Let o(f) = -f + 2. Let y be o(-4). Let l = -5 + 8. What is the third derivative of y*i**5 + l*i**2 + i**5 - 2*i**2 wrt i?
420*i**2
Let g(y) be the third derivative of -y**9/20160 - y**6/72 - y**5/60 + 6*y**2. Let z(l) be the third derivative of g(l). Differentiate z(m) with respect to m.
-9*m**2
Let o(h) be the first derivative of -1 + 0*h + 0*h**3 - 13/4*h**4 + 11/2*h**2. Find the second derivative of o(q) wrt q.
-78*q
Let o = -31 - -34. Differentiate 54 - 12*p**2 - o*p**2 + 12*p**2 - 2*p with respect to p.
-6*p - 2
Suppose -4*r + 9*y - 4*y + 53 = 0, 0 = -5*y + 15. What is the second derivative of -33*w**3 + 0*w**2 - 4*w + 0*w**2 - r*w wrt w?
-198*w
Suppose -4*s + 3*l = -38 + 9, 5*s - 38 = 2*l. Find the second derivative of -6*h + s*h + 12*h**3 + 3*h wrt h.
72*h
Let s(x) be the third derivative of -127*x**5/30 - x**4/24 - 329*x**3/2 + 274*x**2 - 2*x. Find the first derivative of s(q) wrt q.
-508*q - 1
Let q(i) = -11*i + 9. Suppose 0 = -7*r - 11 - 10. Let g(m) = -11*m + 10. Let o(h) = r*g(h) + 2*q(h). What is the first derivative of o(p) wrt p?
11
Find the second derivative of -k**3 - 19*k - 76*k + 52*k**3 + 3*k wrt k.
306*k
Find the third derivative of -125*i**2 - 109*i**4 + 3*i**2 - 38*i**2 wrt i.
-2616*i
Let k = -14 + 11. Let f be (k/(-12))/(5/60). What is the first derivative of -4 - l**3 - l**3 - l**f + 1 wrt l?
-9*l**2
Suppose -4*m + 8*m = 20. Suppose -40*a + 42*a - 10 = 0. What is the third derivative of -2*p**m + 3*p**5 - a*p**5 + 10*p**2 - 3*p**5 wrt p?
-420*p**2
What is the second derivative of 5 - 183*n**4 + 168*n + 148*n - 297*n - 268*n**4 wrt n?
-5412*n**2
What is the third derivative of -14269*t**4 - 31*t**2 + 5 + 14269*t**4 + 58*t**5 wrt t?
3480*t**2
Let v(p) = 3*p**2 - 12*p + 32. Let g be v(4). Differentiate -133*n + g + 0 + 129*n with respect to n.
-4
Let g(c) be the first derivative of 8*c**4 - 104*c - 120. Differentiate g(p) with respect to p.
96*p**2
Let j be ((-6)/(-2))/((-12)/(-20)). Suppose -2*r + 3 + 7 = 4*d, 3*d = -r + j. What is the second derivative of 2*c**5 - 53 + 53 - r*c wrt c?
40*c**3
Let u = -16 + 23. Suppose -t + 3*k = k + 6, -3*k = -2*t - u. Find the second derivative of j + 2*j**t - 5*j + 10*j wrt j.
24*j**2
Let p(z) = -15*z**2 + 11*z - 3. Let s = -15 - -23. Let g(h) = -44*h**2 + 32*h - 8. Let q(v) = s*p(v) - 3*g(v). Find the second derivative of q(m) wrt m.
24
Let c be 17/(-306) - (-2 - 32/(-18)). Let q(v) be the second derivative of -c*v**3 - v + 5/2*v**2 + 0. What is the derivative of q(s) wrt s?
-1
Let s(j) be the second derivative of -69*j**4/4 - 137*j**3/6 - 177*j. What is the second derivative of s(c) wrt c?
-414
What is the second derivative of -65*z + 34*z**3 - 7*z + 7*z wrt z?
204*z
Let a(c) = c**3 - 6*c**2 + 4*c + 5. Let l be (-2)/3*(-120)/16. Let o be a(l). Find the second derivative of -10*h + o*h**2 + 20*h + h**2 wrt h.
2
Let o(y) = -y**3 + y**2 + 2. Let d(h) = 6*h**3 + 2*h**2 + 47*h + 8. Let s(v) = -d(v) + 4*o(v). Find the second derivative of s(f) wrt f.
-60*f + 4
Let u(r) be the first derivative of 116*r**5/5 + 94*r + 197. What is the first derivative of u(q) wrt q?
464*q**3
Let v(w) be the second derivative of -26*w + 0*w**2 - 17/12*w**4 + 29/20*w**5 + 0*w**3 + 0. What is the third derivative of v(m) wrt m?
174
Let x(h) be the first derivative of -h**6/120 + h**3/3 + 3*h**2/2 + 5. Let d(y) be the second derivative of x(y). Differentiate d(u) with respect to u.
-3*u**2
Let x(l) = 2*l**2 - l. Let w(a) = 55*a**3 + 22*a**2. Let t(s) = -w(s) - 2*x(s). What is the third derivative of t(d) wrt d?
-330
Let v(x) be the first derivative of -507*x**5/5 - 542*x - 470. What is the derivative of v(z) wrt z?
-2028*z**3
Suppose -5*m + 2*m = 0, -3*z - 4*m - 51 = 0. Let x = z - -21. Find the third derivative of 5*y**2 + x*y**2 + 2*y**6 + 7*y**6 - 3*y**2 wrt y.
1080*y**3
Suppose 3 = -4*s + 23. Suppose 0 = 2*r + 4*x - 26 - 34, -2*r + 15 = -s*x. What is the second derivative of -r*k**3 - 4*k + 20*k**3 - 6*k**5 wrt k?
-120*k**3
Let o(b) be the third derivative of -23*b**7/210 - b**4/12 + 84*b**2. What is the second derivative of o(m) wrt m?
-276*m**2
Let w(c) = c**3 - 3*c**2 + 1. Let k(o) = -440*o**3 + 189*o**2 + 6. Let j(t) = k(t) - 6*w(t). What is the third derivative of j(u) wrt u?
-2676
What is the second derivative of 63*v**2 + 14*v**2 + 25*v + 8*v - 3*v + 19*v**2 wrt v?
192
Let s(z) be the first derivative of -49*z**5/20 + 17*z**4/12 - 34*z - 25. Let p(y) be the first derivative of s(y). Find the third derivative of p(v) wrt v.
-294
Let w(z) = -7 - 6*z + 15*z - 5 + 16. Let t(p) = -3*p. Let j(h) = -6*t(h) - 3*w(h). What is the derivative of j(c) wrt c?
-9
Let p be 1 - (0 - (-3)/(-1)). Find the second derivative of -132*s**p + 120*s**4 + 0*s + 3*s wrt s.
-144*s**2
Let c(q) = -5*q - 20. Let d(t) = t**2 + t + 1. Let r be d(-2). Let n(g) = -2*g - 10. Let o(l) = r*c(l) - 7*n(l). What is the first derivative of o(f) wrt f?
-1
Let k(d) be the third derivative of 0*d**5 + 1/12*d**4 + 0*d + 0*d**3 + 11*d**2 + 0 - 1/56*d**8 + 0*d**7 + 0*d**6. Find the second derivative of k(w) wrt w.
-120*w**3
Let w(f) be the second derivative of 0*f**2 + 0*f**4 + 17/3*f**3 - 22*f + 0 + 31/20*f**5. Find the second derivative of w(s) wrt s.
186*s
Let j(c) = -49*c**3 + 2*c**2 - 7*c + 41. Let v(z) = 98*z**3 - 4*z**2 + 13*z - 83. Let a(f) = -11*j(f) - 6*v(f). Find the second derivative of a(k) wrt k.
-294*k + 4
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