et q(b) be the third derivative of -59*b**6/60 + 77*b**5/30 - 3*b**2 + 30. Find the third derivative of q(j) wrt j.
-708
Let a = 19 + -15. Suppose -4*j - 28 = -4*y, -2*y - a*j - 12 = 2*y. Differentiate -10 - 4*v - y*v + 3*v - 5*v wrt v.
-8
Let z(c) be the second derivative of 17/20*c**5 + 0 + 0*c**2 + 25/6*c**3 + 0*c**4 - 17*c. What is the second derivative of z(i) wrt i?
102*i
Let c(n) be the third derivative of -1/120*n**6 - 5/12*n**5 + 0 - 3*n**2 + 0*n**3 - n**4 + 4*n. Find the second derivative of c(l) wrt l.
-6*l - 50
Let x(t) be the first derivative of -5*t - 5*t**3 + 4*t**3 + 2*t - 10*t + 10. What is the first derivative of x(s) wrt s?
-6*s
Let m(b) = -12*b - 15*b - 6 + 11*b. Let t(f) be the first derivative of -f**2/2 + f + 12. Let p(n) = -m(n) + 5*t(n). Find the first derivative of p(l) wrt l.
11
Let i(s) = -s**2 - s + 35. Let r(x) be the third derivative of -x**4/24 - x**3/6 - 20*x**2. Let u(p) = -i(p) + r(p). What is the first derivative of u(h) wrt h?
2*h
Let b(s) be the second derivative of 293*s**5/10 - 59*s**4/6 + 6*s + 2. What is the third derivative of b(n) wrt n?
3516
Let q(f) be the first derivative of -f**4 - 4*f**2 + 32*f - 25. What is the first derivative of q(x) wrt x?
-12*x**2 - 8
Let i(m) be the third derivative of 11*m**6/40 + m**5/10 - 61*m**3 + 254*m**2. Differentiate i(w) wrt w.
99*w**2 + 12*w
What is the second derivative of 22410*s**5 - 22485*s**5 - 62*s - 33*s wrt s?
-1500*s**3
Let k(c) = -713*c**3 + 7*c**2 - 932*c - 21. Let x(t) = 238*t**3 - 2*t**2 + 311*t + 6. Let l(j) = 2*k(j) + 7*x(j). What is the second derivative of l(w) wrt w?
1440*w
Let y(v) be the first derivative of 1009*v**3/3 + 1000*v - 435. Differentiate y(m) with respect to m.
2018*m
Let w be (-26)/(-5) - 6/30. Suppose -v - 3*k = 6, 4*v - w*v + 14 = -2*k. What is the second derivative of -7*c + v*c + 5*c - 5*c**2 wrt c?
-10
Suppose 94*n = 99*n - 80. Find the second derivative of n*j + 17*j - 3*j**4 - 28*j**4 - 5*j wrt j.
-372*j**2
What is the second derivative of 345*s - 322*s**3 - 96 + 49 + 47 wrt s?
-1932*s
Let s(u) = 3*u**3 - 28*u**2 - 4*u - 51. Let l(n) = n**2 + 2*n. Let z(p) = 2*l(p) + s(p). Differentiate z(f) with respect to f.
9*f**2 - 52*f
Let u be 4/(-10)*(-4 + -1). Let l be (-2)/(-10) + (-14)/(-5). Find the third derivative of -4*o**u + 6*o**3 - 6*o**l + 10*o**4 wrt o.
240*o
Suppose 2*x - 9 = 35. What is the second derivative of 33*z**3 - x*z**3 + 6*z + 7*z - 4*z wrt z?
66*z
Suppose 5*i + 2 = -38. Let w(t) = -t + 1. Let j be w(i). What is the second derivative of 5*c - j*c**3 - 8*c - 7*c wrt c?
-54*c
Let d(v) be the first derivative of 45*v**5 + 227*v - 5. Find the first derivative of d(f) wrt f.
900*f**3
Suppose r - 4 = -x - 0*x, r - 2*x = 4. What is the second derivative of -6*l - 37*l**r + 0*l + 39*l**4 wrt l?
24*l**2
Let r be 7/42 + (-22)/(-12). Differentiate 8*j**4 - 7*j**4 + r*j**4 + 13 + 13*j**4 wrt j.
64*j**3
Let a(y) = 2*y + 16. Let f be a(-7). Suppose -f = -2*r + 4. Find the second derivative of 27*l - 37*l - 17*l**r + 7*l**3 wrt l.
-60*l
Let a(o) be the third derivative of o**7/210 - 11*o**6/360 - 3*o**5/10 - o**2. Let h(p) be the third derivative of a(p). What is the derivative of h(j) wrt j?
24
Let r = 82 + -80. Find the second derivative of 12*l**5 + 9*l**5 + r*l - 8*l - 3*l wrt l.
420*l**3
Let l(n) be the second derivative of 8*n + 9/5*n**5 + 0 + 0*n**4 + 23/3*n**3 + 0*n**2. What is the second derivative of l(m) wrt m?
216*m
Suppose -15*c = 7 - 37. Find the third derivative of -35*s**4 + 24*s**2 + 48*s**4 - c*s**2 wrt s.
312*s
Let n(u) be the third derivative of 29*u**6/60 + u**4/6 - 2*u**3/3 + 83*u**2. Find the second derivative of n(k) wrt k.
348*k
Differentiate 18*b**2 - 19*b**2 + 92 + 16*b**2 - 82*b**2 with respect to b.
-134*b
Suppose 0 = -3*k + 2*h - 6, -2*k + h - 3 = -k. Suppose -a - 3*a + 8 = k. Find the third derivative of -10*m**5 + 12*m**5 - m**a - 4*m**2 wrt m.
120*m**2
Let h(k) = -2*k. Let d(y) = -51*y - 423. Let m(g) = d(g) - 4*h(g). What is the derivative of m(s) wrt s?
-43
Let f(q) be the third derivative of 0*q**4 + 5/6*q**3 + 0*q**6 + 30*q**2 + 0 + 0*q + 9/70*q**7 + 0*q**5. Differentiate f(s) wrt s.
108*s**3
Let z(j) = -j**3 + 11*j**2 + 13*j - 3. Let k be z(12). Differentiate 9*y + 5 - 33*y + 8*y + k*y with respect to y.
-7
What is the derivative of 28*v + 15*v - 24 - 4*v**2 - 14 - 21 - 45*v wrt v?
-8*v - 2
Let t(i) be the third derivative of i**7/105 - 13*i**5/60 + i**4/24 + 47*i**3/6 + 2*i**2 - 7*i. What is the second derivative of t(v) wrt v?
24*v**2 - 26
Let u(f) be the second derivative of f**7/7 + 2*f**6/15 - 2*f**3/3 + f**2 - 8*f + 2. What is the second derivative of u(c) wrt c?
120*c**3 + 48*c**2
Suppose 2*o + 2 = 8. Differentiate 2 - 3 - 1 + 22*t**o wrt t.
66*t**2
Let m be 12/21*(-7)/(-2). Let w(y) = 4*y - 4. Let j be w(m). Find the second derivative of 22*d**4 - 14*d**4 - 2 + 2 - j*d wrt d.
96*d**2
Suppose 4*m - 12 = -u - u, 2 = m. Let a be 0 + 4/(-10)*-5. What is the first derivative of -a*w**2 + w**u + 3*w**2 - 3 + w**2 wrt w?
6*w
Let l(y) = 636*y**3 - 86*y - 5. Let p(f) = -320*f**3 + 42*f + 2. Let m(k) = 2*l(k) + 5*p(k). Find the second derivative of m(t) wrt t.
-1968*t
Let a = -30 + 35. What is the third derivative of -11*w**2 - 7*w**5 - 19*w**5 - 6*w**a - 15*w**2 wrt w?
-1920*w**2
Let c(m) be the third derivative of -29*m**4/8 + 13*m**3/2 - 72*m**2 - 1. Differentiate c(q) wrt q.
-87
Let k(g) = g + 1. Let v(b) = -636*b**2 - 2*b + 49. Let t(p) = 5*k(p) + v(p). Find the second derivative of t(l) wrt l.
-1272
Let s be 1/3 + 38/3. Let a = -10 + s. Find the second derivative of -2*h + 6*h + 4*h**a + h**3 - 2*h**3 wrt h.
18*h
Find the third derivative of 1394*h**3 - 201*h**2 - 780*h**3 - 50*h**3 wrt h.
3384
Let w(i) be the second derivative of i**8/56 - 11*i**6/15 - i**4/4 - i**3/6 + 19*i. Find the third derivative of w(h) wrt h.
120*h**3 - 528*h
Let w(d) be the first derivative of -d**7 - 4*d**3 - 2*d**7 - 12 + 6*d**7 - 4*d**7. Find the third derivative of w(s) wrt s.
-840*s**3
Let q(s) be the first derivative of -8*s**7/7 + 5*s**6/6 + 62*s**3/3 - s - 35. What is the third derivative of q(z) wrt z?
-960*z**3 + 300*z**2
Let k(r) = -r + 4. Let o be k(1). What is the first derivative of -9 - 1 - 4 + 0 + 3*s**o wrt s?
9*s**2
Let y(j) be the third derivative of j**7/70 + j**5/15 + 5*j**3/6 - 4*j**2. Let m(k) be the first derivative of y(k). Find the second derivative of m(n) wrt n.
72*n
Suppose 0 = -m + 5*m + 12. Let r be (-12 + 3)*1/m. What is the derivative of 7 - r*u**3 - 3 + 0*u**3 wrt u?
-9*u**2
Let b be 10/(-15)*(-18)/4. What is the third derivative of 9*y**b - 27*y**2 - 3*y**3 + 37*y**2 wrt y?
36
Let g = 489/604 - 9/151. Let n(h) be the second derivative of 0*h**2 + 0 + 2*h + 3/2*h**3 - g*h**4. Find the second derivative of n(x) wrt x.
-18
Let w(m) = m**3 + 8*m**2 + 8*m + 10. Let y be w(-7). Let l be (2/y)/(2/12). What is the first derivative of 2 - 5*s**4 + 7*s**4 + 4*s**l wrt s?
24*s**3
Suppose 4 = 6*u - 2*u. Let i be ((-4)/((-16)/12))/u. Find the second derivative of -8*m**3 + 12*m**i - 2*m**2 - m + 2*m**2 wrt m.
24*m
Let w(g) = 11. Let i(l) = -l - 1. Let v = -18 + 22. Suppose -2*c - v = -2*q, 2*c + 7 = 5*q - 2*c. Let x(b) = q*w(b) - 6*i(b). Differentiate x(m) wrt m.
6
Let r(s) be the first derivative of 143*s**3/3 - 14*s**2 - s - 91. Find the second derivative of r(y) wrt y.
286
Let y(j) be the third derivative of 9*j**2 + 0*j**5 + 0*j + 0*j**4 + 0 - 1/3*j**3 - 1/20*j**6. Differentiate y(x) wrt x.
-18*x**2
Let f(y) be the third derivative of y**3 + 1/6*y**5 + 0 + 0*y**4 + 0*y + y**2. Differentiate f(q) with respect to q.
20*q
Suppose 3*g - 2*i - 48 = 0, g - 38 = -4*i - 8. Find the first derivative of 18*a + 2*a**2 - g*a + 5 wrt a.
4*a
Let h(a) = -a**2 + 10*a - 2. Let j be h(7). Find the third derivative of -3*c**2 + j*c**2 + 2*c**3 - 3*c**2 wrt c.
12
Let b(w) be the third derivative of 0*w**6 + 1/2*w**3 + 0*w**4 - 1/70*w**7 + 0*w**5 + 0 + 4*w**2 + 0*w. What is the first derivative of b(m) wrt m?
-12*m**3
Let k(x) be the second derivative of -13/12*x**4 + 0 + 20*x + 0*x**5 + 0*x**2 + 0*x**3 + 11/30*x**6. Find the third derivative of k(o) wrt o.
264*o
Suppose 0 = -3*n + 7*n - 12. Suppose y + 92 = 2*r + 5*y, 5*y - 181 = -4*r. What is the third derivative of -44*h**n + 4*h**5 + 5*h**2 + r*h