et b be a(-11). Let r(l) = l**2 + 7*l + 2. Let f be r(-7). Differentiate f + p**3 + 3*p**b + 1 - 3*p**3 with respect to p.
3*p**2
Find the third derivative of 2*y**5 + 13*y - 34*y + 21*y - 42*y**2 - 68*y**4 wrt y.
120*y**2 - 1632*y
Let o = -10 + 9. Let j = 3 - o. Find the third derivative of -n**2 + n**2 - j*n**2 + 2*n**2 + 4*n**4 wrt n.
96*n
Find the second derivative of -583*l**2 + 5*l - 5 - 3*l + 1306*l**2 wrt l.
1446
Let r(b) = b**4 + b**3 + b**2 + 2. Let u(y) = -104*y**4 - 6*y**3 - 2*y**2 - 35. Let l(t) = -6*r(t) - u(t). Find the third derivative of l(m) wrt m.
2352*m
Let z(w) = -w**2 - w. Let d(n) = -19*n**3 + n**2 + 130*n. Let j(t) = -d(t) + 3*z(t). Find the second derivative of j(k) wrt k.
114*k - 8
What is the second derivative of 4*g**3 - 7*g**3 + 2*g**3 + 53*g**2 + 4*g + 17 - 7 wrt g?
-6*g + 106
Let d(h) = -256*h**3 + 129*h - 1. Let b(k) = -1280*k**3 + 647*k - 5. Let f(y) = 2*b(y) - 11*d(y). What is the second derivative of f(p) wrt p?
1536*p
What is the second derivative of 510*f + 4*f**2 + 436*f**3 - 234*f**3 + 360*f**3 - 4*f**2 wrt f?
3372*f
Find the second derivative of -25*j + 3 - 130*j**5 - 173*j**3 + 173*j**3 wrt j.
-2600*j**3
Let q(d) be the second derivative of -5/2*d**3 + 0*d**2 + 0 + 13*d + 5/4*d**4. What is the second derivative of q(w) wrt w?
30
What is the first derivative of -33*k**4 + 116 + 12*k**2 + 14*k**4 + 404 + 11*k**4 - 3*k**2 wrt k?
-32*k**3 + 18*k
Suppose 13 = -5*f - 17. Let c be 32/18 + f/(-27). What is the first derivative of -1 + 9 - 2*j**c + 10*j**2 wrt j?
16*j
Let h(r) = -11*r**4 - 4*r**2 - 11. Let w = -26 - -30. Let s(y) = -45*y**4 - 15*y**2 - 45. Let k(p) = w*s(p) - 15*h(p). Find the first derivative of k(l) wrt l.
-60*l**3
Let h(i) be the first derivative of -7*i**5/30 - i**4/2 - 5*i**2/2 - 8. Let d(w) be the second derivative of h(w). Find the second derivative of d(s) wrt s.
-28
Let x be 15*(-1 + (-9)/(-5)). Let h = 17 - x. What is the first derivative of -h + 0 + 2 - 14*w**3 + 7*w**3 wrt w?
-21*w**2
Let i be (-4)/(12/3) - -2. Let b be 4/12*(i - -17). What is the first derivative of 3*a**2 - 3 - 3*a**2 + b*a**3 - 3*a**3 wrt a?
9*a**2
Let n(t) = t**3 - 3*t**2 - 5*t - 7. Let k be n(5). What is the second derivative of -10*q - 2*q - 5*q**3 + k*q**3 wrt q?
78*q
Let g(r) be the second derivative of r**7/210 + r**5/10 + 3*r**4/4 - 9*r. Let x(i) be the third derivative of g(i). Differentiate x(z) with respect to z.
24*z
Suppose -3*q + 10*d - 5*d + 12 = 0, 0 = -2*q - 3*d + 8. Suppose q*s + 20 = 8*s. Find the third derivative of -s*m**6 + 0*m**6 + 3*m**2 + 0*m**6 wrt m.
-600*m**3
Let u be 2/12 - ((1 - 0) + -1). Let i(t) be the second derivative of 0 + u*t**3 - 3/2*t**2 - 5*t. Differentiate i(o) wrt o.
1
Let q be (-1)/(((-3)/12)/(0 - -4)). What is the third derivative of 31*i**2 + 9*i**3 + 24*i**2 - q*i**2 + 23*i**3 wrt i?
192
Let m(v) be the second derivative of -7*v**4/4 - 136*v**2 - v + 80. Differentiate m(s) wrt s.
-42*s
Let b = -1 - -17. What is the first derivative of -b - 12 + 5*l**2 + l**2 + 24 wrt l?
12*l
Suppose 4*t = 3*r + 11, -11 + 2 = -3*t + 3*r. Suppose t*f = -3*f + 15. What is the first derivative of -7*g**f - 5*g**2 + 5*g**2 + 8 wrt g?
-21*g**2
Let p(h) be the first derivative of 2*h**5/15 + h**4/3 - 5*h**2 + 4. Let q(w) be the second derivative of p(w). Find the second derivative of q(v) wrt v.
16
Let n(k) = -2*k - 9. Let u be n(-5). Differentiate -22*b + 22*b - 3 - u - 10*b**3 with respect to b.
-30*b**2
Let k(z) = -4*z + 1. Let q(g) = -49*g - 257. Let j(w) = -k(w) - q(w). Differentiate j(x) wrt x.
53
Let r(x) be the second derivative of 183*x**5/10 + 5*x**4/6 - 7*x**2/2 - 3*x + 37. Find the third derivative of r(f) wrt f.
2196
Let v(m) be the first derivative of -701*m**4/4 + 58*m**3 + 356. Find the third derivative of v(i) wrt i.
-4206
Differentiate -183*f**4 + 91*f**4 - 4*f - 68 + 94*f**4 + 9*f wrt f.
8*f**3 + 5
Let t(r) = -6*r**4 + 40*r**3 - 223*r**2 - 5. Let f(s) = -7*s**4 + 41*s**3 - 222*s**2 - 6. Let h(l) = -5*f(l) + 6*t(l). Find the third derivative of h(g) wrt g.
-24*g + 210
Let o(b) = -b + 19. Let x be o(10). Find the first derivative of -8 + 13 + z + x*z**2 - 39 wrt z.
18*z + 1
Find the second derivative of 14192*h - 14184*h - h**5 + 6 + 2 + 7*h**3 - 29 wrt h.
-20*h**3 + 42*h
Let x(k) be the first derivative of 7*k**6/120 - 4*k**3/3 - 8*k**2 + 21. Let c(d) be the second derivative of x(d). Differentiate c(n) with respect to n.
21*n**2
Let s(h) = 7*h**3 - 4*h**2 + 24*h + 22. Let f(r) = 30*r**3 - 18*r**2 + 97*r + 89. Let u(b) = 2*f(b) - 9*s(b). Differentiate u(v) with respect to v.
-9*v**2 - 22
Let i(u) be the third derivative of 3*u**6/20 + u**5/60 - 31*u**4/24 + 2*u**2 - 11. Find the third derivative of i(r) wrt r.
108
Let o be -3 - 1 - 6/(-2). Let i be o - (18*-2)/4. What is the first derivative of -i + 2 + 2 - 9*n**2 + n**2 wrt n?
-16*n
Let g(w) be the first derivative of 0*w**4 + 0*w**5 + 0*w - 31 + 0*w**2 + 0*w**6 - 7/3*w**3 - 2*w**7. Find the third derivative of g(m) wrt m.
-1680*m**3
Let h(j) = -2*j - 10. Let m(z) = -5*z - 29. Let w(b) = 8*h(b) - 3*m(b). Let n be w(3). What is the derivative of -16 - 5*c**n + 13 + 3*c**4 wrt c?
-8*c**3
Let d(s) be the first derivative of 2*s**6 + 3*s**4/2 - 373*s**2 + 302. What is the second derivative of d(c) wrt c?
240*c**3 + 36*c
Suppose v - 16 = 6. Let o = v - 19. What is the derivative of -2*y**4 + 25*y**o - 2 - 4*y**4 - 25*y**3 wrt y?
-24*y**3
Suppose -3*u - 4*y = -6*u - 58, -5*u = -4*y + 86. Let f(n) = -n - 11. Let k be f(u). What is the second derivative of 5*s - 2*s**3 - s**3 + s**k wrt s?
-12*s
Let t(d) = 299*d + 448. Let y(f) = 298*f + 448. Let w(q) = -4*t(q) + 3*y(q). Differentiate w(u) with respect to u.
-302
Let d(g) be the first derivative of 229*g**4/2 - 550*g**3/3 + 197. Find the third derivative of d(r) wrt r.
2748
Let l(t) be the third derivative of -13*t**7/70 + 5*t**4/24 - t**3/2 + 56*t**2 + 2*t. What is the second derivative of l(g) wrt g?
-468*g**2
Let d(m) = m**2 + 3*m + 4. Let r be d(-3). Suppose 0 = n + r*n - 10. What is the third derivative of -5*c**4 + 5*c**2 + n*c**4 + 0*c**2 wrt c?
-72*c
Let o(z) be the third derivative of -1/12*z**6 + 0*z**4 + 0 - 11/6*z**3 + 0*z**5 + 10*z**2 + 0*z. Differentiate o(x) with respect to x.
-30*x**2
Suppose 0 = -2*o + b + 26, 4*b = 2*b. What is the second derivative of -100*u**4 + 100*u**4 - o*u + 7*u**5 wrt u?
140*u**3
Find the third derivative of 46*g**2 + 262*g**6 - 82*g**2 - 709*g**2 wrt g.
31440*g**3
Let q(v) be the second derivative of -6*v + 0*v**2 - 5/12*v**4 + 0*v**3 - 1/4*v**5 + 0. Find the third derivative of q(a) wrt a.
-30
Let a(c) be the second derivative of 43*c**5/10 - c**4/6 - 437*c**3/6 - 30*c. Find the second derivative of a(v) wrt v.
516*v - 4
What is the third derivative of 26*h**4 + 33*h**3 - 37*h**3 - 84*h**2 - 26*h**4 - 32*h**5 wrt h?
-1920*h**2 - 24
Let h(j) = 4*j. Let z(x) = 19*x + 9. Let w(c) = -6*h(c) + z(c). What is the first derivative of w(n) wrt n?
-5
Let k(l) be the third derivative of 3*l**6/10 - l**5/60 + 25*l**3/2 - 31*l**2 - l. What is the third derivative of k(m) wrt m?
216
Find the second derivative of -96*v - v**3 - 3 - v**4 + 92*v**5 - 28*v**5 + v**4 wrt v.
1280*v**3 - 6*v
Suppose 0 = 4*c + 4*d - 32, 0*d + 5*d - 28 = -2*c. Differentiate 2*i**4 + c + 0 - 3*i**4 - 7*i**4 with respect to i.
-32*i**3
Let c(f) = 6*f - 81. Let d be c(24). Differentiate 15 + 63*b + 8 - b**3 - d*b wrt b.
-3*b**2
Let w(t) be the first derivative of 201*t**2/2 + 122*t + 73. Differentiate w(j) with respect to j.
201
Suppose -3*g - 53 = -59. Find the third derivative of -216*m - 21*m**g - 41*m**6 + 216*m wrt m.
-4920*m**3
Let k(b) be the second derivative of 2/3*b**4 + 0*b**2 - 13*b + 0*b**6 + 4/21*b**7 + 0*b**3 + 0 + 0*b**5. What is the third derivative of k(m) wrt m?
480*m**2
Let w be 17/6 + 4/24. Let b be 8*3/3 - w. Find the second derivative of 1 + 4 + 7*r - b + r**2 wrt r.
2
Let b = -8 + 10. Suppose -2*m + 12 = 2*m. Find the second derivative of 2*z**m + 2*z**3 - b*z - 7*z**3 wrt z.
-18*z
Let o(a) = -a**2 + 7*a - 4. Let m be o(6). Differentiate 19 - 9*t**2 - 12*t**2 - 3*t**m with respect to t.
-48*t
Let r(w) = -w**2 - 3*w + 3. Let q be r(0). What is the second derivative of 19*o - 12*o**3 + 5*o**q + 3*o**3 wrt o?
-24*o
Let g(i) be the first derivative of 29*i*