f -7*n**4/4 - n**3/6 - 46*n**2 + 20*n - 1. What is the second derivative of b(t) wrt t?
-42
Let n be (2/(-4))/(5/20). Let b(y) = -y**3 - y**2 - 1. Let t be b(n). Differentiate -2*j - 3*j + t*j + 1 + 4 with respect to j.
-2
Suppose -5*c = j - 225 - 278, -5*j = c - 115. Suppose 6*p - p - c = 0. Find the second derivative of 2*k**3 - 4*k**3 - 16*k + p*k wrt k.
-12*k
Suppose -9*v + 136 = -5*v. Suppose -10 - v = -y. Find the first derivative of 2*n**2 - 6 + y*n**3 - 42*n**3 - 2*n**2 wrt n.
6*n**2
Let o(n) be the second derivative of n**8/7 - 19*n**7/42 - 169*n**4/6 + 32*n. Find the third derivative of o(d) wrt d.
960*d**3 - 1140*d**2
Let s(w) = 22*w**3 + 8*w**2 + 610*w - 8. Let v(f) = 7*f**3 + 3*f**2 + 203*f - 3. Let i(j) = 3*s(j) - 8*v(j). Find the second derivative of i(p) wrt p.
60*p
Let y(u) be the second derivative of -7*u**6/30 - u**5/10 - 17*u**4/4 + 7*u - 5. Find the third derivative of y(o) wrt o.
-168*o - 12
Let p(k) be the first derivative of -2*k**6/15 - 3*k**2/2 + 11*k + 15. Let c(j) be the first derivative of p(j). What is the derivative of c(a) wrt a?
-16*a**3
Let f = -138 + 143. Let p(z) be the third derivative of 0*z**f - z**2 + 0*z - 1/70*z**7 + 0 + 0*z**4 + 1/2*z**3 + 0*z**6. Differentiate p(o) with respect to o.
-12*o**3
Suppose -2*q = 8, -2*q = -t + 2*q + 18. What is the third derivative of -21*m**5 + 87*m - 87*m + 8*m**t + 6*m**2 wrt m?
-1260*m**2
Suppose -28*c + 33*c - 85 = 0. What is the first derivative of c*x**3 - 1 - 8 + 2 - 12 wrt x?
51*x**2
Let r be (-4)/(-16)*0 + 1. Suppose l - 3 = m, 10 = -2*m + 3*l - r. What is the second derivative of -24*b**m + 2*b + 20*b**2 + 2*b wrt b?
-8
Let c(g) = -g**3 - g**2. Let f be (2/3)/(2/3). Let b(a) = 2*a**3 - 27*a**2. Let w(y) = f*b(y) - 5*c(y). Find the third derivative of w(d) wrt d.
42
Find the third derivative of -113*a**5 - 4*a**4 + 236*a**2 - 510*a**5 + 4*a**4 + 18*a**5 wrt a.
-36300*a**2
Let n(m) = -m**2 + 8*m - 5. Let j be n(7). Let f be ((-20)/4 - -7) + 4. What is the third derivative of -2*h**2 + 4*h**f + h**j + 3*h - 3*h wrt h?
480*h**3
Let y(w) be the first derivative of 865*w**4/4 - 466*w**3/3 - 714. What is the third derivative of y(i) wrt i?
5190
Differentiate -101 + 270*r - 625*r - 258*r + 667 with respect to r.
-613
Let g(s) be the third derivative of -5*s**2 + 0*s + 0 - 17/6*s**3 + 0*s**4 + 11/60*s**5. What is the derivative of g(l) wrt l?
22*l
Let t(k) = 55*k**2 + 8*k + 850. Let n(y) = -18*y**2 - 3*y - 283. Let c(q) = -8*n(q) - 3*t(q). Differentiate c(u) with respect to u.
-42*u
Let g(f) be the first derivative of f**7/56 + f**6/120 - 10*f**3/3 - 9. Let t(q) be the third derivative of g(q). What is the third derivative of t(c) wrt c?
90
What is the third derivative of -74*r**2 + 192*r**4 + 2*r**3 - 2*r**3 - 116*r**4 wrt r?
1824*r
Find the third derivative of j**6 + j**6 + 466*j**3 - 135*j**2 - 213*j**3 - 214*j**3 wrt j.
240*j**3 + 234
Let i(c) = c**4 + c**2 - c. Let w(r) = -3*r**4 + 37*r**3 - 7*r**2 + 2*r - 21. Let g(y) = 2*i(y) + w(y). What is the third derivative of g(d) wrt d?
-24*d + 222
Let g(c) = c**3 + 8*c**2 + 2*c - 4. Let i be g(-8). Let a be (-5)/i*28*1. Find the first derivative of 9*w - 9*w - 9 - a*w - 5*w wrt w.
-12
Let s(k) = 16*k**2 - 11*k + 82. Let a(m) = -24*m**2 + 16*m - 123. Let w(u) = 5*a(u) + 7*s(u). What is the derivative of w(t) wrt t?
-16*t + 3
Let t(l) = 10 + 10*l + 8 + 3 - 6 - l**2. Let o be t(11). What is the derivative of -8*d**4 + 9 + 25*d**4 - 6*d**o wrt d?
44*d**3
Find the second derivative of -53 + 0*s + 0*s**4 + s - 2*s**4 + 235*s**3 - 178*s**3 wrt s.
-24*s**2 + 342*s
Let c be (60/40)/((-1)/(-2)). What is the third derivative of 4*h**3 + 3*h**3 - 26*h**c + 24*h**2 wrt h?
-114
Differentiate 36*a**2 - 14 + 9 - 6*a**3 - 93 with respect to a.
-18*a**2 + 72*a
Let r(w) be the first derivative of 24 + 0*w**3 + 5/4*w**4 + 0*w**2 + 6*w. Differentiate r(h) with respect to h.
15*h**2
Let a(t) = -t**3 + 11*t**2 + t - 8. Let q be a(11). Suppose -q*k + 4*k - 3 = 0. What is the derivative of -k*g**2 + 4*g**2 + g - 5 - g wrt g?
2*g
Find the third derivative of 3*g**2 + 5 - 5 - 5*g**4 + 53*g**2 - 3*g**3 + 173*g**2 wrt g.
-120*g - 18
Let k(a) be the third derivative of 0 + 0*a - 13/30*a**5 + 0*a**3 + 22*a**2 + 11/12*a**4. Find the second derivative of k(o) wrt o.
-52
Let w = -91 + 91. What is the second derivative of -8*s + 31*s**2 - 13*s - 5*s + w*s**2 wrt s?
62
Let h be (-8)/36 - (-40)/18. Suppose 0*q = h*q - 6. What is the third derivative of -4*z**2 - 73*z**3 + 73*z**q - 3*z**6 wrt z?
-360*z**3
Suppose 0 = 3*x + k - 53, -x + k + 26 = 3*k. Suppose 0 = 4*q - x. Find the second derivative of 3*z**5 + 2*z**2 - 2*z**2 + q*z**5 + 7*z wrt z.
140*z**3
Let u be 17/3*(-15)/(-5). Suppose u*z - 19*z = -6. Find the first derivative of 5 - 6*b**z + 2 - 7 - 8 wrt b.
-18*b**2
Differentiate 40*p**4 + 20*p**4 - 74*p**4 - 76 - 2*p**2 wrt p.
-56*p**3 - 4*p
Let f(z) be the second derivative of -z**8/7 - 7*z**4/12 + z**3/2 + 119*z. What is the third derivative of f(d) wrt d?
-960*d**3
Let r(m) = m**2 + m - 1. Let y = -3 + 9. Let z(w) = 7*w**2 - 6*w - 4. Let f(h) = y*r(h) + z(h). Differentiate f(d) with respect to d.
26*d
Let v(y) = 6*y**3 - 75*y - 113. Let u(h) = 2*h**3 - 25*h - 38. Let g(z) = 7*u(z) - 2*v(z). Differentiate g(w) with respect to w.
6*w**2 - 25
Let j(y) be the second derivative of -63*y**5/20 + y**4/6 - 12*y**3 - 8*y - 3. Find the third derivative of j(m) wrt m.
-378
Suppose 0 = -143*d + 138*d + 60. What is the second derivative of -6*g**2 + d*g**2 + 6*g**2 + 12*g wrt g?
24
Suppose 0 = -u - 3*u - 4*x + 8, 2*u - 4*x - 22 = 0. What is the third derivative of 22*a**2 - 37*a**5 - 32*a**5 + 79*a**u wrt a?
600*a**2
Let m be 3249/95 - 8/(-10). What is the third derivative of m*v**2 - 52*v**4 + 16*v**4 + 16*v**4 wrt v?
-480*v
Let f(w) be the second derivative of 0*w**3 + 5/12*w**4 + 0*w**2 + 0 - 2/5*w**5 + 7*w. Find the third derivative of f(x) wrt x.
-48
Let a(t) be the second derivative of 5*t + 0*t**2 + 0 - 2/15*t**6 - 5/3*t**3 + 0*t**5 + 0*t**4. What is the second derivative of a(g) wrt g?
-48*g**2
Let j(c) be the second derivative of 503*c**5/20 - 25*c**3 + 284*c. What is the second derivative of j(x) wrt x?
3018*x
Let x(y) = 10*y**4 - 10*y**3 - 89*y**2 + 6*y - 6. Let p(i) = -i**4 - 2*i**2 - i + 1. Let n(q) = 6*p(q) + x(q). Find the third derivative of n(l) wrt l.
96*l - 60
Differentiate -100 - 148 + 148*d - 338*d + 65 wrt d.
-190
What is the third derivative of -99*w**2 + 46*w**2 + 7*w**3 + 6 + 45*w**2 wrt w?
42
Let t(v) = 4*v**3 - v + 1. Let j(a) = -2*a**4 + 290*a**3 + 2*a**2 + 16*a + 2. Let n(b) = -j(b) + 2*t(b). Find the third derivative of n(q) wrt q.
48*q - 1692
Let k(c) be the third derivative of c**6/72 + c**5/60 + 2*c**3 + c**2. Let l(o) be the first derivative of k(o). What is the second derivative of l(w) wrt w?
10
Let i(m) = m**4 + m**3 - m**2 + 7*m - 1. Let s(u) = 19*u**4 + u**3 - u**2 + 13*u + 198. Let g(t) = i(t) - s(t). What is the derivative of g(v) wrt v?
-72*v**3 - 6
Find the third derivative of 5*i**2 - 71*i**2 - 96*i**4 + 100*i**6 + 98*i**4 wrt i.
12000*i**3 + 48*i
Let a(k) be the third derivative of 13*k**8/336 + 19*k**4/12 + 12*k**2. What is the second derivative of a(s) wrt s?
260*s**3
What is the third derivative of -93*q**2 + 19*q**3 - 92*q**3 + 24 + 92*q**2 wrt q?
-438
Let y be (18/2)/((-3)/(-6)). Suppose 5*d = 2*d + y. Find the third derivative of 8*t**3 - t**3 - 5*t**3 - d*t**2 wrt t.
12
Suppose -4*h + h = -6. Differentiate -c**3 + h*c**3 - 9 - c**3 - c**3 with respect to c.
-3*c**2
Let v = -44 - -48. What is the third derivative of -26*g**v + 361*g + 18*g**2 - 361*g wrt g?
-624*g
Suppose 4*n - o = 20 + 3, 4*o + 37 = 5*n. Find the second derivative of 4*z + 19*z**5 - 4*z**n - 13*z wrt z.
300*z**3
Let z(p) = -3*p**2 + 6*p + 8. Suppose -2 = -4*q + 6. Let n(g) = -2 - 3*g**2 + 10 - q*g + 7*g. Let i(r) = 6*n(r) - 5*z(r). What is the derivative of i(c) wrt c?
-6*c
Let a(b) be the first derivative of 77*b**5/5 - 77*b + 100. What is the first derivative of a(p) wrt p?
308*p**3
Let j(h) = 15*h**3 - 4*h + 44. Let c = -164 + 159. Let l(d) = -13*d**3 + 5*d - 45. Let r(i) = c*j(i) - 4*l(i). Differentiate r(m) with respect to m.
-69*m**2
Let f(z) be the third derivative of -37/336*z**8 + 0*z + 0 + 0*z**3 + 0*z**7 + 10*z**2 + 0*z**6 - 2/5