*3 + 2*s**2 + v*s**2 wrt s?
12
Let h(v) be the third derivative of -5/168*v**8 + 0*v + 3/20*v**5 + 0*v**3 + 0 + 0*v**7 + 0*v**6 + 15*v**2 + 0*v**4. What is the third derivative of h(c) wrt c?
-600*c**2
Let z(i) = 15*i**3 - 2*i**2 + 11*i - 456. Let m(v) = -8*v**3 + v**2 - 6*v + 227. Let h(b) = 11*m(b) + 6*z(b). What is the first derivative of h(t) wrt t?
6*t**2 - 2*t
Let a(w) be the first derivative of -37*w**5/5 - w**4/4 - 3*w**2/2 - 8*w - 108. Find the second derivative of a(m) wrt m.
-444*m**2 - 6*m
Let w = -81 + 102. What is the second derivative of 230*r**5 + r**3 + w*r - 256*r**5 - r**3 wrt r?
-520*r**3
Let c(d) = d**2 + 2*d + 2. Let r be c(-1). Let w(n) be the first derivative of n**2 - r + 4*n**2 - 3*n**2 + 3*n. What is the first derivative of w(h) wrt h?
4
Suppose 5*k = 1187 - 317. Let d(u) = -u**3 + 4*u + 3. Let j be d(-2). What is the third derivative of -9*i**3 - 4*i**2 + k*i - i**j - 174*i wrt i?
-60
Let g be (10/(-20))/(2/(-36)). Find the third derivative of g*t**3 + 10*t**2 + 13*t**3 - 11*t**2 wrt t.
132
Let v(j) be the third derivative of 0 + 0*j**3 + 13*j**2 + 1/8*j**4 - 1/6*j**5 + 0*j. What is the second derivative of v(q) wrt q?
-20
Let t(r) = 75*r**2 + 57*r - 11. Suppose -6*o = 2*o - 88. Let f(v) = 37*v**2 + 28*v - 6. Let b(l) = o*f(l) - 6*t(l). Find the second derivative of b(d) wrt d.
-86
Let y(c) be the first derivative of -5*c**7/14 + 4*c**3 + 24*c + 9. Let u(k) be the first derivative of y(k). What is the second derivative of u(g) wrt g?
-300*g**3
Let m(s) be the second derivative of 193*s**4/4 + 23*s**3/3 + 861*s. What is the second derivative of m(z) wrt z?
1158
Let t(f) be the first derivative of -f**5/5 + 2*f**4 + 31*f**2/2 + 2*f + 104. Find the second derivative of t(g) wrt g.
-12*g**2 + 48*g
Differentiate -93*w + 45009 - 44866 - 87*w with respect to w.
-180
Let f = -12 + 45. Let l = 35 - f. Find the third derivative of 175*m**3 + 12*m**l - 175*m**3 - m**5 wrt m.
-60*m**2
Let l(y) = -y**2 - 2*y - 2. Let s(m) = -83*m**2 - 22*m - 6. Let o(x) = 6*l(x) - s(x). Find the second derivative of o(w) wrt w.
154
Let f be 2/(-8) + 21/(-28). Let q be 5/(-15) - f/3. Differentiate -28 + 5*n**2 + 31 + q*n + 0*n wrt n.
10*n
Let p = 49 - 29. Differentiate -p*m**2 - 5 + 9*m**2 + 16 wrt m.
-22*m
Let m(b) = 1. Let y(l) = 0*l**2 + 6 + 0*l**2 - 4*l**3. Let k(d) = d - 4. Let p be k(5). Let i(h) = p*y(h) - 3*m(h). Differentiate i(u) with respect to u.
-12*u**2
Let b(n) be the second derivative of 8*n - 7/6*n**4 - 4 + 25/2*n**2 + 0*n**3. Find the first derivative of b(m) wrt m.
-28*m
Let p(q) be the second derivative of -82*q**7/21 + q**5/10 - q**4/6 - 69*q**2/2 + 260*q. What is the third derivative of p(m) wrt m?
-9840*m**2 + 12
Let j(s) = 12*s**2 - 32*s. Let a(o) be the first derivative of -4*o**3 + 33*o**2/2 + 3. Let l(k) = 3*a(k) + 4*j(k). Find the second derivative of l(p) wrt p.
24
Let w(r) be the first derivative of -113*r**2 - 331*r - 309. Find the first derivative of w(z) wrt z.
-226
Suppose 12*l + 4 = 13*l, 3*h - 64 = -l. What is the second derivative of 41*y**2 + h*y - 87*y + 27*y wrt y?
82
Find the third derivative of -23*a + 937 - 937 + 4*a**2 + 10*a**5 - 3*a**6 wrt a.
-360*a**3 + 600*a**2
Find the second derivative of -607*z**5 + 35 - 37 + 24*z + 136*z wrt z.
-12140*z**3
Suppose 18*i - 27*i = -27. What is the third derivative of -4*q**4 + 39*q**2 + 12*q**4 - 53*q**2 + 42*q**2 + i*q**5 wrt q?
180*q**2 + 192*q
Let z = 10 + -7. Let f = z - 2. Differentiate -2*k**3 + k**3 - 3*k**3 + 2*k**3 + f with respect to k.
-6*k**2
Let v(w) = -144*w + 724. Let o(j) = 720*j - 3626. Let g(k) = -2*o(k) - 11*v(k). What is the derivative of g(r) wrt r?
144
Let u(i) = i**2. Let c be u(3). Suppose -4*r = -4*w + 3 + c, 4*r - w - 3 = 0. Find the third derivative of 8*d**r - 2*d**2 - 4*d**4 + 0*d**2 - d**2 wrt d.
-96*d
Differentiate 8 - 8*z**4 - 55*z**4 - 24 wrt z.
-252*z**3
Find the third derivative of -69*c**2 - 117*c**2 - 181*c**2 - 181*c**3 + 923*c**3 wrt c.
4452
Let g(r) be the first derivative of r**4/2 + 7*r**3 + 11*r**2 - 79. What is the second derivative of g(q) wrt q?
12*q + 42
Let q(z) = 13*z**4 + 9*z**3 - 249*z**2. Let b(l) = 36*l**4 + 26*l**3 - 747*l**2. Let k(n) = 4*b(n) - 11*q(n). What is the third derivative of k(x) wrt x?
24*x + 30
Let b(d) be the third derivative of 67*d**7/35 + 59*d**3/2 - 71*d**2 - 3*d. Differentiate b(y) wrt y.
1608*y**3
Let q be 4/(100/(-15)) - 13/(-5). Find the first derivative of 23*b**3 - 257*b**q - 33 + 257*b**2 wrt b.
69*b**2
Differentiate -5 + 8 - 4 - 20*c**3 - 5 + 7 wrt c.
-60*c**2
Let a(s) = s - 14. Let m be a(16). What is the first derivative of -117*r + 2*r**m + 117*r - 8 wrt r?
4*r
Let j be (-21 + -1)/(-2*(-4)/4). Let x(u) = -u**4 - 17*u. Let y(q) = 4*q**4 + 50*q. Let o(p) = j*x(p) - 4*y(p). What is the second derivative of o(z) wrt z?
-60*z**2
Let q(b) = b**2 - 4*b - 17. Let i = 33 - 26. Let r be q(i). What is the first derivative of 12*c**r - 5*c**4 - 1 - 6 wrt c?
28*c**3
Let f(g) be the third derivative of -44*g**2 + 0 - 1/3*g**3 + 0*g + 0*g**4 + 1/6*g**5. What is the first derivative of f(l) wrt l?
20*l
Let u(y) be the first derivative of -13*y**6/120 - y**5/20 - 6*y**2 - 5. Let h(z) be the second derivative of u(z). What is the third derivative of h(g) wrt g?
-78
What is the derivative of 176*t**4 + 388 + 71*t**4 - 42*t**4 + 148*t**4 - 68*t**4 wrt t?
1140*t**3
Let k(m) be the second derivative of m**9/1080 - m**7/120 + 7*m**4/6 - 14*m. Let t(h) be the third derivative of k(h). Find the third derivative of t(g) wrt g.
336*g
Let j(b) = 176*b**2 + 5*b - 6. Let v(x) = 354*x**2 + 10*x - 13. Let k(y) = -7*j(y) + 3*v(y). Find the second derivative of k(i) wrt i.
-340
Find the second derivative of 26 - 26 - 61*n**5 - 11*n**5 - 147*n wrt n.
-1440*n**3
Let l = 98/5 - 39/2. Let g(y) be the second derivative of 0*y**5 + 0*y**4 + l*y**6 - 5*y - 1/6*y**3 + 0 + 0*y**2. Find the second derivative of g(m) wrt m.
36*m**2
Let m(c) be the first derivative of -7*c**5/20 - 5*c**4/2 + 23*c + 4. Let y(w) be the first derivative of m(w). Find the third derivative of y(h) wrt h.
-42
Suppose -3*l = -l + 24. Let q = -10 - l. What is the derivative of 4*g - 2*g + 0*g + q*g + 4 wrt g?
4
Let w = -139 - -141. Find the second derivative of -9*z - 25*z**2 + 44*z**2 - 19*z**w + 42*z**3 wrt z.
252*z
Let f(y) be the third derivative of 97*y**5/60 - y**3/3 - 2*y**2 + 34. Find the first derivative of f(w) wrt w.
194*w
Suppose 6*m = -0*m + 450. What is the second derivative of -m*w - 2*w**2 + 2*w**2 + 64*w - 5*w**5 wrt w?
-100*w**3
Suppose -22*k = -25*k + 78. What is the second derivative of 26 - k + 3*v + 16*v - 25*v**2 wrt v?
-50
Let h(k) = -49551*k**2 + 26145. Let s(o) = -163*o**2 + 86. Let g(x) = 6*h(x) - 1826*s(x). Differentiate g(c) with respect to c.
664*c
Let t(x) = 57*x**2 - 21*x - 7. Let l = 37 + -35. Let h(p) = 19*p**2 - 7*p - 2. Let g(j) = l*t(j) - 7*h(j). Find the second derivative of g(y) wrt y.
-38
Let l(i) = -i**2 - 2*i + 1. Let s(z) = 102*z**2 + 2*z + 139. Let f(j) = -l(j) - s(j). What is the first derivative of f(v) wrt v?
-202*v
Let l(o) be the second derivative of 2*o**5/5 - 37*o**2 - 37*o. Differentiate l(g) with respect to g.
24*g**2
Let g(s) be the third derivative of -191*s**6/120 - 77*s**3/3 - 2*s**2 + 26*s. Find the first derivative of g(w) wrt w.
-573*w**2
Let g(s) be the third derivative of s**4 + 23*s**3/3 + 17*s**2 - s. What is the derivative of g(v) wrt v?
24
Let j(o) = 139*o**4 - 7*o**3 - 7*o - 190. Let f(r) = 70*r**4 - 3*r**3 - 3*r - 95. Let i(n) = 7*f(n) - 3*j(n). What is the derivative of i(t) wrt t?
292*t**3
Let c(a) be the second derivative of 39*a**5/10 + a**4/6 - 5*a**2 - a. Find the third derivative of c(k) wrt k.
468
Suppose -4*m + 79 = -3*i, m + 3*m = 5*i + 73. What is the third derivative of 11*g**4 + m*g**2 - 6*g**2 - 17*g**4 - 19*g**4 wrt g?
-600*g
Differentiate 386*y**2 - y**3 + 36 - 2*y**3 - 134 - 425*y**2 wrt y.
-9*y**2 - 78*y
Let p(t) = 2*t**4. Let q(d) = 32*d**4 - 80. Let j(o) = -40*p(o) + 2*q(o). Find the first derivative of j(x) wrt x.
-64*x**3
Suppose 0*n - 9 = -3*n. Let y = n + -1. Find the third derivative of 3*u**4 + 3*u**2 + u**2 - y*u**4 + u**2 wrt u.
24*u
What is the second derivative of -46*g - 269 - 262 - 524*g**4 + 532 wrt g?
-6288*g**2
Let t = -11 - -13. Let b(v) be the 