- 5. Let j(r) = -r**4 + r**3 - r**2 + r + 1. Let w(t) = a(t) + 5*j(t). Find the third derivative of w(p) wrt p.
504*p + 12
Let n(h) be the first derivative of h**6/15 + h**5/60 - h**2 - 14. Let d(b) be the second derivative of n(b). What is the third derivative of d(v) wrt v?
48
Let f(q) be the first derivative of -24/5*q**5 + 0*q**2 - 29*q + 0*q**3 - 3 + 0*q**4. Find the first derivative of f(r) wrt r.
-96*r**3
Let j(k) be the third derivative of -5*k**8/336 + 3*k**5/4 - k**4/12 - 259*k**3/6 - 4*k**2 - k. Find the second derivative of j(g) wrt g.
-100*g**3 + 90
Suppose 0*k = -2*k - 8, 3*l - 4 = -2*k. Differentiate -653 + 16*o**4 + 2*o**l + 649 wrt o.
72*o**3
Let f be 56/26 + (-10)/65. Find the second derivative of -75*k**2 - f*k - 6*k + 86*k**2 wrt k.
22
Let y be (8 + -1)*(6 + -4). What is the derivative of -3*r**2 + 11*r**4 - 12*r**4 + y + 3*r**2 wrt r?
-4*r**3
Let l(z) = -z**3 - 6*z**2 - 4*z + 3. Let g be l(-5). Let h(b) = b**2 - 2. Let j be h(g). What is the third derivative of -s**2 - s**j + 9*s**2 - 5*s**3 wrt s?
-30
Find the second derivative of -46*l - 17*l**3 + 4441*l**2 - 4441*l**2 wrt l.
-102*l
Let y(j) be the third derivative of 11*j**6/120 - j**4/8 - 43*j**3/3 - 14*j**2 - 11. Differentiate y(k) with respect to k.
33*k**2 - 3
Let h(k) = 3*k**2 + 27*k - 14. Let s be h(-10). What is the second derivative of s*y + 17*y - 52*y - 20*y**5 wrt y?
-400*y**3
Let m(o) be the first derivative of -407*o**5/5 + 432*o - 601. Differentiate m(v) with respect to v.
-1628*v**3
Let d = -55 + 151. Let m be 2/(-11) + d/44. What is the second derivative of -12*u**m + 6*u + u**2 + u**2 + u**2 wrt u?
-18
Let q(w) = -41*w**4 + 5*w**3 + 7*w - 15. Let j(p) = 21*p**4 - 2*p**3 - 3*p + 7. Let v(z) = -5*j(z) - 2*q(z). What is the second derivative of v(x) wrt x?
-276*x**2
Differentiate 47*x - 98 - 40*x + 13 - 115 - 28*x**2 wrt x.
-56*x + 7
Suppose 14*d - 72 = -10*d. Let h(k) be the first derivative of 0*k**2 + 0*k**4 + d + 3*k - 2/5*k**5 + 0*k**3. Differentiate h(z) with respect to z.
-8*z**3
What is the second derivative of -73*v**2 + 116 + 83*v**2 + 16 - 34*v + 33*v wrt v?
20
What is the third derivative of -5*a**5 - a - a**3 + 25*a**5 + 6*a**5 + 19*a**2 - 58*a**2 wrt a?
1560*a**2 - 6
Let z(r) = -11*r**3 + 94*r**2 + 3*r - 95. Let y(u) = 4*u**3 - 32*u**2 - u + 31. Let m(g) = -17*y(g) - 6*z(g). What is the second derivative of m(q) wrt q?
-12*q - 40
Let a(i) be the second derivative of -41/2*i**2 + 0 + 0*i**3 + 0*i**4 + 2/15*i**6 + 0*i**5 + 44*i. What is the first derivative of a(p) wrt p?
16*p**3
Suppose 0 = -5*c, 0*n = 5*n + 3*c - 15. Suppose n*i - 18 + 0 = 0. Find the second derivative of l - 5*l**2 + l + i*l - 2*l wrt l.
-10
Let d(g) = -3*g**2 + 6*g**2 - 4*g**2 + g**4 + 3 - 4. Let t(i) = -15*i**4 - 4*i**2 + 15. Let j(z) = 4*d(z) - t(z). What is the derivative of j(b) wrt b?
76*b**3
Let g(z) = z**2 - 2. Let q(p) = -1. Let n(t) = -g(t) + 2*q(t). Let y(m) = -16*m**2 + 18*m. Let d(x) = 5*n(x) + y(x). Find the second derivative of d(a) wrt a.
-42
Let c(r) = 46*r**3 + r**2 - 99*r + 1. Let q(g) = -2*g**2 + g - 1. Let f(b) = -c(b) - q(b). What is the second derivative of f(z) wrt z?
-276*z + 2
Let i be (9/6 - -1)*(-36)/(-30). Find the first derivative of -8*r**3 + 0*r - 2 + 0*r - i*r**3 wrt r.
-33*r**2
Let f(c) be the second derivative of 0*c**2 - 37*c + 0 + 17/3*c**3 - 11/4*c**4. Find the second derivative of f(p) wrt p.
-66
Let a(t) = -t**3 - t - 1. Let s(r) = -17*r + 5 + 0*r**3 - 18*r**2 - 9*r**3 + 28*r - 6*r. Let u(x) = -5*a(x) - s(x). Find the third derivative of u(j) wrt j.
84
Let f(t) be the third derivative of 17*t**6/40 - t**5/60 + t**4/12 + 5*t**3/6 + 46*t**2. Find the second derivative of f(d) wrt d.
306*d - 2
Suppose -37*c + 31 - 31 = 0. Let x(z) be the third derivative of 0*z**4 + c*z + z**2 + 0 + 1/10*z**5 + 1/6*z**3. Differentiate x(o) with respect to o.
12*o
Let c(n) be the second derivative of -101*n**3/6 - 39*n**2/2 + 20*n + 2. What is the derivative of c(i) wrt i?
-101
Let h(g) = g + 7. Let a be h(-7). Suppose 4 = s - a. Find the third derivative of -3*d**3 - 4*d**2 - 2*d**3 + s*d**3 + 4*d**3 wrt d.
18
Differentiate 85 - 7 + 37*l**2 + 0 wrt l.
74*l
Find the second derivative of 338*l + 303*l - 77*l**2 - 604*l wrt l.
-154
Let n(k) = -144*k**3 + 183*k**2 + 2*k. Let y(d) = -718*d**3 + 915*d**2 + 11*d. Let s(c) = -11*n(c) + 2*y(c). Find the third derivative of s(q) wrt q.
888
Let z(y) be the second derivative of y**8/168 + y**6/72 + y**3/2 - 4*y. Let p(o) be the second derivative of z(o). What is the third derivative of p(w) wrt w?
240*w
Find the second derivative of -133*j**2 - 12*j + 0 + 102*j**2 - 164*j**2 + 6 wrt j.
-390
Suppose -4*a - 3 + 15 = 0. Find the second derivative of -2*o**2 + 3*o + a - 2*o**2 - 9*o**2 + 3*o**2 wrt o.
-20
Let v(q) = 22*q - 34. Let g(d) = -50 + 16 + 131*d - 109*d. Let z(i) = 6*g(i) - 5*v(i). Find the first derivative of z(n) wrt n.
22
Let t(o) be the second derivative of 37*o**5/20 - o**4/12 - 314*o**3/3 + 312*o. What is the second derivative of t(u) wrt u?
222*u - 2
Let h(t) be the second derivative of -2/7*t**7 + 0*t**3 + 1/12*t**4 + 0*t**5 + 0*t**2 + 0*t**6 - 17*t + 0. What is the third derivative of h(q) wrt q?
-720*q**2
Suppose 0 = 5*t - 5*i + 10, -5*t - 7*i = -3*i - 8. Suppose h - 5*h + 28 = t. What is the third derivative of 0*y**6 - 8*y**2 - y**6 + y**6 + h*y**6 wrt y?
840*y**3
Let w(r) = -59*r**5 + 312*r. Let d(g) = -59*g**5 + 310*g. Let a(b) = -7*d(b) + 6*w(b). Find the second derivative of a(z) wrt z.
1180*z**3
Suppose 0 = -3*p + 3 + 9. Differentiate 17 + 8 + 21*x**p - 10 with respect to x.
84*x**3
Let h = -14 + 5. Let k = h - -12. What is the third derivative of 8*y**2 + y**k - 3*y**2 + 3*y**3 wrt y?
24
Let p(f) = 23*f - 16. Let w be p(3). Find the first derivative of 47 + 4*l**2 + 8*l**2 + l**2 - w wrt l.
26*l
Let i(z) be the second derivative of -3*z**4 + 85*z**2/2 - z + 85. Differentiate i(d) wrt d.
-72*d
What is the second derivative of -6*f**2 + 16*f**4 + 4*f - 8*f + 2*f**4 + 13 + 0*f**2 wrt f?
216*f**2 - 12
Let j(r) = -8*r - 16. Let m be j(-2). Find the second derivative of 0 - 15*s - 23*s - 18*s**3 + m wrt s.
-108*s
Let v = 30 - 16. Suppose -3*f + v + 1 = 0. Find the third derivative of -f*l**2 + 1 - 4 + 3 + 3*l**6 wrt l.
360*l**3
Let q(d) be the third derivative of d**7/35 - 2*d**5/15 + 169*d**4/24 - d**3/3 + d**2 - 215. What is the second derivative of q(y) wrt y?
72*y**2 - 16
Let q(g) be the first derivative of 13/3*g**3 + 0*g + 0*g**4 + 0*g**2 - 1 + 2/5*g**5. What is the third derivative of q(c) wrt c?
48*c
Let l(z) be the third derivative of 57*z**7/70 - 35*z**4/24 + z**3/3 - 225*z**2. What is the second derivative of l(v) wrt v?
2052*v**2
Let k(a) = -306*a**2 - 148*a + 9. Let y(f) = -612*f**2 - 297*f + 16. Let h(p) = 7*k(p) - 4*y(p). What is the second derivative of h(u) wrt u?
612
Let p(u) be the third derivative of u**5/2 - 83*u**3/6 + 25*u**2. What is the first derivative of p(j) wrt j?
60*j
Let y(i) be the third derivative of -i**8/24 - i**7/70 + 473*i**4/12 - 318*i**2 + 1. What is the second derivative of y(g) wrt g?
-280*g**3 - 36*g**2
Suppose -11 = -4*q - 3. What is the first derivative of -5 + 9*g**q + 0*g**2 + 0*g**2 - 12 wrt g?
18*g
Let j(m) = -m**2. Let b = -30 + 28. Let x(h) = 9*h**2 + 19. Let n(c) = b*j(c) - 2*x(c). What is the first derivative of n(t) wrt t?
-32*t
Let y(q) = -q**3 - 8*q**2 - 7*q + 4. Let f be y(-7). What is the second derivative of l**4 - 7*l**4 + 7*l + l**4 + 2*l**f wrt l?
-36*l**2
Let r(p) be the second derivative of 15*p**4/4 + p**3/6 - 4*p**2 - 19*p + 2. What is the second derivative of r(j) wrt j?
90
Differentiate 4*w + 120*w**3 - 4*w - 108*w**3 - 54 wrt w.
36*w**2
Let y be ((-169)/78 + 1)*-3. Let f(r) be the second derivative of 13/20*r**5 - 11*r + 0*r**3 + 0*r**4 + 0 - y*r**2. Differentiate f(p) with respect to p.
39*p**2
Let t(q) be the first derivative of -8 - 10*q + 1/3*q**3 + 0*q**2. Find the first derivative of t(x) wrt x.
2*x
Let f(j) = 1578*j + 1188. Let x(n) = -786*n - 593. Let s(r) = -3*f(r) - 5*x(r). What is the derivative of s(g) wrt g?
-804
Differentiate -f**2 - 311 - 4*f + 25*f + 25 + 11*f + 5*f with respect to f.
-2*f + 37
Let o(r) be the first derivative of -52*r**2 + 154*r + 49. Differentiate o(y) with respect to y.
-104
Suppose -4*u - 5*o