-132*b**2
Let d(o) = o**2 - o - 5. Let i(u) = 16*u**2 - u - 793. Let v(t) = -4*d(t) - i(t). What is the first derivative of v(j) wrt j?
-40*j + 5
Let d be (15/2)/((-2)/(-4)). What is the first derivative of -d*h + 10*h**3 + 15*h - 10 wrt h?
30*h**2
Let y(m) be the third derivative of -m**7/210 + 33*m**6/40 - m**5/20 + 19*m**4/12 + 455*m**2. What is the third derivative of y(k) wrt k?
-24*k + 594
Differentiate -217*n + 111*n + 104*n + 37 + 129*n**2 + 2 wrt n.
258*n - 2
Let r(i) be the second derivative of 15*i**8/4 + 2*i**4/3 - 5*i**3/3 + 348*i. Find the third derivative of r(z) wrt z.
25200*z**3
Let i(m) = -3*m - 6. Let s be i(-3). Let h be (3 - 3)/(s*1). What is the second derivative of -7*a - 3*a**2 + 9 - 9 + h*a**2 wrt a?
-6
Suppose -d + 24 = 11*d. What is the first derivative of -23 - 36*v**2 + 5*v**d + 12*v**2 wrt v?
-38*v
Let r be (-430)/(-345) + 8/92. Let f(l) be the first derivative of l**4 + 4 + 0*l**2 + 0*l + r*l**3. What is the third derivative of f(v) wrt v?
24
Suppose 2*y - 18 = -2*l, 4 - 3 = -l + y. Suppose 24 = l*c + 4. What is the third derivative of 5*k**5 - 10*k**2 + 12*k**2 + c*k**5 wrt k?
600*k**2
Let m(f) = 266*f - 422. Let b(g) = 401*g - 633. Let c(k) = -5*b(k) + 7*m(k). Differentiate c(u) wrt u.
-143
Let l = -388 + 392. Let w(y) be the first derivative of 0*y**2 + 1/2*y**l + 5 + 0*y + 2*y**3. Find the third derivative of w(o) wrt o.
12
Suppose 5 = -11*r + 27. Find the second derivative of 5*d**5 - 20*d**5 - 2*d + 10*d**r - 10*d**2 wrt d.
-300*d**3
Let t = -46 - -51. Find the third derivative of -789*s**2 - 7*s**5 + 20*s**t + 804*s**2 wrt s.
780*s**2
Suppose t + t - 4 = 0. What is the third derivative of 7*x**4 + x**t - 13*x**2 + 6*x**4 + 4*x**2 wrt x?
312*x
Let j(s) be the second derivative of -137*s**5/4 + 103*s**4/12 + 678*s. What is the third derivative of j(t) wrt t?
-4110
Let h(z) be the first derivative of 0*z**3 - 10*z**2 + 0*z**5 - 23 + 0*z**4 + 1/3*z**6 + 0*z. What is the second derivative of h(g) wrt g?
40*g**3
Let t(y) = y**3 - y**2 + y + 2. Let x(a) = a**3 + 8*a**2 - 9*a. Let i be x(-9). Let j be t(i). What is the derivative of -h**3 + 3 - j - 2 wrt h?
-3*h**2
Let j(v) be the second derivative of -v**9/1680 - 11*v**5/120 - 7*v**4/12 - 4*v. Let g(a) be the third derivative of j(a). Differentiate g(h) wrt h.
-36*h**3
Let c(d) = -3*d + 4. Let p be c(-22). What is the derivative of -30*k**4 - 23*k**4 + 7 + p*k**4 wrt k?
68*k**3
Let q(d) be the first derivative of d**6/6 - 25*d**4/4 - 49*d**3/3 - 100. Find the third derivative of q(h) wrt h.
60*h**2 - 150
Find the third derivative of -x**2 - 2*x**3 + 2*x**2 + 16*x**2 + 34*x**2 - 15*x**4 wrt x.
-360*x - 12
Suppose 0 = 2*h + h - 2*r - 10, 0 = 5*h - 4*r - 14. Find the third derivative of -2*d**2 + 7*d**2 + d**4 + 0*d**2 + h*d**2 wrt d.
24*d
Let w(h) = 798*h**3 - 266*h**2 + 56*h - 56. Let u(i) = 42*i**3 - 14*i**2 + 3*i - 3. Let n(c) = -56*u(c) + 3*w(c). Find the third derivative of n(b) wrt b.
252
Suppose -2*o = -2*w + 6, 2*w - 3 = o + 2. Let p = 63 - 61. What is the derivative of 2*y**p - w*y**2 + y**2 + 5 wrt y?
2*y
Let d(f) be the third derivative of 517*f**4/24 - 367*f**3/6 - 153*f**2. What is the first derivative of d(w) wrt w?
517
Let q(v) be the second derivative of v**3/6 - 495*v**2/2 + 20*v - 7. Differentiate q(z) wrt z.
1
Let y(q) be the first derivative of -33*q**4/4 - 2*q**3/3 - 185*q**2/2 - 330. What is the second derivative of y(j) wrt j?
-198*j - 4
Let y(m) be the first derivative of 53*m**4/4 + 79*m**3/3 - 44. What is the third derivative of y(o) wrt o?
318
Let z(y) = -y - 3. Suppose 0 = 2*q - 4*l + 4, -22 + 0 = 2*q + 5*l. Let h be z(q). What is the second derivative of 0*b + 4*b**h - 8*b**3 - 2*b wrt b?
-24*b
Suppose 13*c - 16*c + 15 = 0. What is the third derivative of q**2 + 3*q**2 - 18*q**2 - c*q**5 wrt q?
-300*q**2
Suppose -q + 5*q - 8 = 0. Suppose -q*h = 2*h - 12. What is the first derivative of 3*l**h + 6*l**2 - 6*l**2 + 5 wrt l?
9*l**2
Let o(a) be the third derivative of 0 + 0*a**5 + 1/4*a**4 + 0*a - 3/40*a**6 + 0*a**3 - 7*a**2. What is the second derivative of o(c) wrt c?
-54*c
Let u(g) be the second derivative of 0*g**2 - 11/12*g**4 + 0 + 2/5*g**6 + 0*g**3 - 8*g + 0*g**5. Find the third derivative of u(n) wrt n.
288*n
Let a(t) be the third derivative of -7*t**2 + 0*t + 13/6*t**3 + 7/8*t**4 + 0. What is the derivative of a(h) wrt h?
21
Find the second derivative of 100*x**4 - 20*x + 65*x - 2*x**3 + 9 + 2 - 13 wrt x.
1200*x**2 - 12*x
Let r(m) = 2*m**2 + 1. Let s(b) = 19*b**2 + 46*b - 7. Let l(f) = 5*r(f) + s(f). What is the second derivative of l(h) wrt h?
58
Let v(y) be the second derivative of -y**8/336 + 13*y**5/120 + 13*y**4/6 - 17*y. Let w(r) be the third derivative of v(r). What is the derivative of w(b) wrt b?
-60*b**2
What is the derivative of 451*w**2 - 187*w - 178*w - 2*w**2 + 59 + 365*w wrt w?
898*w
Let c(z) = -23*z**6 + 16*z**2 - 2*z. Let l(h) = 46*h**6 - 31*h**2 + 5*h. Let p = 8 + -6. Let o(k) = p*l(k) + 5*c(k). What is the third derivative of o(x) wrt x?
-2760*x**3
Let g(y) be the second derivative of 41*y**4/3 - 3*y**2/2 + y + 5. Find the first derivative of g(f) wrt f.
328*f
What is the third derivative of 21*a**2 + 23*a**2 - 19*a**5 + 40*a**5 - 26*a**5 wrt a?
-300*a**2
Let z(o) be the third derivative of o**9/168 + o**6/72 - 3*o**3 + 8*o**2. Let k(y) be the first derivative of z(y). What is the third derivative of k(f) wrt f?
1080*f**2
Let k(g) be the first derivative of 0*g**2 + 0*g**3 - 14/5*g**5 + 6*g + 0*g**4 + 24. What is the derivative of k(v) wrt v?
-56*v**3
Let r(j) = -34*j**4 - 8*j**3 + 7*j**2 + 106. Let f(g) = -33*g**4 - 7*g**3 + 6*g**2 + 106. Let b(i) = -7*f(i) + 6*r(i). Find the first derivative of b(u) wrt u.
108*u**3 + 3*u**2
Let m(d) = 330*d**2 + 59. Let l(b) = 329*b**2 + 60. Let z(i) = 5*l(i) - 6*m(i). Find the first derivative of z(k) wrt k.
-670*k
Let f = 24 - 15. Let x(b) = -b**2 + 8*b + 9. Let v be x(f). Find the first derivative of 4 + m + v - 3 wrt m.
1
Let n(z) be the first derivative of 261*z**2/2 - 129*z - 398. Differentiate n(k) with respect to k.
261
Let d(n) be the third derivative of 0*n**6 + 0*n**5 + 3/4*n**4 + 0 + 0*n**3 + 0*n + 29/210*n**7 + 34*n**2. Find the second derivative of d(u) wrt u.
348*u**2
Let x(o) = 5*o + 5. Let w be x(2). What is the third derivative of -31*u**4 - w*u**2 + 78*u**4 - 31*u**4 wrt u?
384*u
Let m(i) be the third derivative of 0*i**3 + 0 - 12*i**2 - 1/60*i**5 + 0*i**4 + 0*i - 2/15*i**7 + 0*i**6. What is the third derivative of m(j) wrt j?
-672*j
Let l(c) = c**3 + 7*c**2 + 9. Let g be l(-7). What is the first derivative of -4 + g*q**3 + 1 + 4 wrt q?
27*q**2
Suppose -3*v + 18 = v + 2*s, -28 = -4*v - 4*s. Differentiate -2*n**2 + v*n**2 + 4*n**2 - 13 + n**2 wrt n.
10*n
Suppose 3 = -3*n + 9. Suppose 0 = -n*g + 14 - 2. Differentiate 9*d**3 - 5*d**3 + 1 + g - 2 wrt d.
12*d**2
Let m(t) = -385*t**3 + 5*t - 102. Let i(z) = 193*z**3 - 3*z + 51. Let b(c) = -5*i(c) - 3*m(c). Find the first derivative of b(a) wrt a.
570*a**2
Let k(h) be the second derivative of 0*h**4 + 0*h**2 + 0*h**5 + 1/6*h**6 + 30*h + 5/2*h**3 + 0. Find the second derivative of k(y) wrt y.
60*y**2
Let n(q) = -17*q**3 + 7*q**2 + 261*q - 8. Let k(j) = 6*j**3 - 2*j**2 - 87*j + 3. Let b(s) = -8*k(s) - 3*n(s). What is the second derivative of b(f) wrt f?
18*f - 10
Let a = -8 + 10. Let z be (a/4)/((-6)/(-36)). Find the second derivative of 3*c**z + c - c**4 - 3*c**3 - 3*c**4 wrt c.
-48*c**2
Let i(l) be the third derivative of 0*l**3 + 0*l**6 + 1/14*l**7 - 1/12*l**4 + 0*l + 0 + 0*l**5 - 25*l**2. What is the second derivative of i(b) wrt b?
180*b**2
Find the second derivative of 13*d - 54 - 50 - 178*d**2 + 103 wrt d.
-356
Suppose 39*g - 40*g = -2. Find the third derivative of 81*n + 13*n**5 - 2*n**g - 81*n wrt n.
780*n**2
Let f(b) = -b**3 + 2*b - 1. Let a(o) = 2*o**3 - 17*o**2 - 73*o + 5. Let l(y) = a(y) + 3*f(y). What is the second derivative of l(n) wrt n?
-6*n - 34
Find the second derivative of -18020 - 4*l - 247*l**4 + 18033 + 13*l + 64*l**4 wrt l.
-2196*l**2
Suppose -5 - 10 = -5*g. What is the second derivative of 15*b**4 + 14*b**4 + 3*b**2 - g*b**2 + 22*b wrt b?
348*b**2
Let j(t) be the third derivative of -t**6/20 - t**4/24 + 158*t**3/3 - 5*t**2 + 41*t. What is the derivative of j(s) wrt s?
-18*s**2 - 1
Let x =