 0. Find the second derivative of -n*k**4 + k**4 - 5*k - 4*k wrt k.
-24*k**2
Let p(v) be the second derivative of -23*v**4/3 + 5*v**3/6 + 10*v**2 - 134*v. What is the second derivative of p(n) wrt n?
-184
Suppose -3*x + x = 0. Suppose x = 3*p + 3, -2*o = 2*o + 2*p - 6. Find the third derivative of -3*i**2 + 16*i**5 - 9*i**5 + 2*i**o wrt i.
420*i**2
Let i(y) = y**3 - y + 4. Let x(a) = 32*a**3 + 4*a**2 - 208*a + 12. Let t(w) = -3*i(w) + x(w). Find the second derivative of t(n) wrt n.
174*n + 8
Let f(o) be the first derivative of 0*o**3 - 17/2*o**4 + 0*o**2 + 17 + 31*o. Find the first derivative of f(i) wrt i.
-102*i**2
Let w(v) be the third derivative of 7*v**6/120 + v**5/12 + 89*v**4/24 - 17*v**2 + 4*v. Find the second derivative of w(b) wrt b.
42*b + 10
Let k be 4 - ((-6)/10 - (-15)/25). Differentiate b**k - 132*b**3 + 132*b**3 - 6 wrt b.
4*b**3
Let d(r) be the third derivative of -11*r**4/6 - 85*r**3/6 + 8*r**2 - 4. What is the first derivative of d(s) wrt s?
-44
Let v(j) be the third derivative of -83*j**8/168 + j**5/60 + 107*j**4/24 - 178*j**2. What is the third derivative of v(d) wrt d?
-9960*d**2
Let s(q) be the third derivative of 12*q**6/5 + q**5/60 - q**4/6 + 53*q**2 - 5. Find the third derivative of s(g) wrt g.
1728
Let u(i) = -2 - 3 + 2 + 9 + i. Let z(n) = -n - 3. Let x(a) = 3*u(a) + 5*z(a). Differentiate x(c) with respect to c.
-2
Let u be -1*1*3*-3. Suppose -u = -4*l + l. Differentiate 3*i**l - 3*i**3 + 7*i**4 - 3 wrt i.
28*i**3
Suppose 2*h + h = 0. Suppose -a + 3*a - 2*p - 10 = h, a = -4*p. Find the third derivative of 3*j**a - j**4 + 6*j**4 + 7*j**2 + 2*j**2 wrt j.
192*j
Let a(o) be the first derivative of 0*o + 18 + 0*o**3 + 33/4*o**4 - 1/2*o**2. What is the second derivative of a(h) wrt h?
198*h
Let v(u) be the third derivative of -8*u**2 + 0*u - 7/120*u**6 + 0*u**4 + 0*u**3 + 0 - 2/15*u**5. Find the third derivative of v(a) wrt a.
-42
Let h(l) be the second derivative of 13/12*l**4 + 0*l**3 - 31*l + 13*l**2 + 0. What is the derivative of h(r) wrt r?
26*r
Let s(t) = t**3 + t**2 + t. Let u(n) = -10*n**3 + 34*n - 8*n**3 - 6*n**2 - 55*n. Let h(p) = 6*s(p) + u(p). Find the second derivative of h(v) wrt v.
-72*v
Let w(l) be the first derivative of -l**5/20 - 5*l**3 - 9*l**2/2 + 31. Let i(j) be the second derivative of w(j). Differentiate i(q) wrt q.
-6*q
Find the second derivative of -141*z**2 + 1 - 9*z - 3 - 20*z + 8 wrt z.
-282
Let k(b) = 621*b**3 - 534*b**2 + 13. Let m(r) = -310*r**3 + 266*r**2 - 6. Let n(d) = -6*k(d) - 13*m(d). Find the third derivative of n(w) wrt w.
1824
Suppose -3*r - 11 = -4*i + 6, 1 = -3*i + 5*r. What is the first derivative of -40 - 13*l + 13*l + i + l**2 wrt l?
2*l
Let k(z) be the third derivative of 2*z**7/105 - 23*z**6/120 - z**5/10 - 5*z**4/24 + 68*z**2. What is the third derivative of k(j) wrt j?
96*j - 138
Let l(v) be the third derivative of 0 + 0*v**4 + 0*v**6 - 9*v**2 + 0*v**5 + 0*v - 13/6*v**3 + 1/105*v**7. Differentiate l(f) with respect to f.
8*f**3
Let s be (-119)/(-35) - 4/10. Let r(n) be the second derivative of -n**2 + 2*n + 0 - 1/3*n**s. Differentiate r(t) with respect to t.
-2
Let s(m) = -17*m**2 + 6*m - 18. Let g(d) = -d**2 + d. Let u = 22 - 21. Let i(t) = u*s(t) - 6*g(t). Differentiate i(n) wrt n.
-22*n
Let a(k) = 5*k + 43. Let m be a(-8). Find the first derivative of -54 - 17*c**3 + 57 - 10*c**m wrt c.
-81*c**2
Let h(j) be the second derivative of 179*j**5/20 - 13*j**4/3 - 5*j**2/2 - 67*j + 2. Find the third derivative of h(d) wrt d.
1074
Let a be (42/(-24))/(-1) + (-1)/(-4). Find the third derivative of 8*d - 8*d - 4*d**5 + 8*d**a wrt d.
-240*d**2
Let w(d) = -5*d - 13. Let n be w(-3). Find the third derivative of 721*a**3 - 9*a**n - 680*a**3 - 23*a**2 wrt a.
246
Let l(h) = 627*h**4 - 7*h**3 + 9*h**2 + 7*h - 459. Let r(d) = 314*d**4 - 3*d**3 + 4*d**2 + 3*d - 230. Let b(v) = 3*l(v) - 7*r(v). Differentiate b(p) wrt p.
-1268*p**3 - 2*p
Let v(u) = 161*u + 174. Suppose -2*j + 2*l = 8, -8 = -3*l - 2. Let g(w) = 40*w + 43. Let d(a) = j*v(a) + 9*g(a). Differentiate d(n) with respect to n.
38
What is the second derivative of -145*p**4 + 100*p**5 + 145*p**4 + 26*p + 32*p**5 wrt p?
2640*p**3
Let h(c) = 654*c**4 - 8*c**3 + 8*c + 603. Let m(q) = -1308*q**4 + 18*q**3 - 18*q - 1205. Let y(z) = 9*h(z) + 4*m(z). Differentiate y(w) wrt w.
2616*w**3
Suppose -3*p + 55 = -0*o + 4*o, o - 8 = 5*p. Let m(a) = -15*a**2 - 13*a - 9. Let b(k) = 7*k**2 + 6*k + 5. Let s(g) = o*b(g) + 6*m(g). Differentiate s(c) wrt c.
2*c
Differentiate 18 - 112*o**2 + 36 + 73 wrt o.
-224*o
Suppose 45 + 5 = 5*j. Suppose u - 2 = j. Find the third derivative of 4*l**6 + u*l**2 + 4*l**6 - 7*l**6 + 2*l**6 wrt l.
360*l**3
Let y(q) be the first derivative of 11*q**6 - q**4/4 - 203*q**2/2 - 190. What is the second derivative of y(j) wrt j?
1320*j**3 - 6*j
Let n(k) be the third derivative of k**7/168 - 5*k**4/24 + 8*k**3/3 + 7*k**2. Let z(l) be the first derivative of n(l). Differentiate z(m) wrt m.
15*m**2
Let z(r) = -7*r - 10. Let c(g) = 29 + 25 - 55. Let q(k) = 3*c(k) + z(k). Find the first derivative of q(w) wrt w.
-7
Let h(k) = -78*k + 5 + 79*k + 9. Let p be h(-9). Find the third derivative of -5*m**p - 2*m**2 - 3*m**5 + 12*m**2 wrt m.
-480*m**2
Let v(j) be the second derivative of 5*j**7/42 - 3*j**5/4 - 13*j**2 - 33*j. Let h(q) be the first derivative of v(q). Find the third derivative of h(t) wrt t.
600*t
What is the first derivative of 2*u**2 - 292 - 6*u**2 + 4*u**3 + 4*u**2 + 0*u - 3*u wrt u?
12*u**2 - 3
Let l(x) be the first derivative of -7 + 9*x - 2*x**2 - 15*x - 3 + 5*x**2. Differentiate l(q) with respect to q.
6
Let h = 96 - 89. Let w(z) be the third derivative of 0 + 0*z + 2/15*z**5 + 0*z**3 + h*z**2 - 1/8*z**4. What is the second derivative of w(f) wrt f?
16
Let a(i) be the third derivative of 11/24*i**4 + 0 + 0*i - 25/6*i**3 - 30*i**2. Differentiate a(t) with respect to t.
11
Find the second derivative of 28*q**2 + 27*q**2 + 33*q**2 - 202*q**3 - 86*q**2 + 368*q wrt q.
-1212*q + 4
Let v = 8 + 4. Let k be ((-3)/v)/((-1)/8). Find the third derivative of k*r**3 - r**2 + 4*r**3 - 8*r**2 - r**3 wrt r.
30
What is the derivative of 25*a - 47 - 59 - 34 + 37 wrt a?
25
Let v(q) be the second derivative of q**8/210 + q**4/4 + 2*q**3 - 6*q. Let b(n) be the second derivative of v(n). Find the first derivative of b(f) wrt f.
32*f**3
Let s(c) be the first derivative of -35/3*c**3 - 33/4*c**4 + 0*c**2 + 0*c + 24. What is the third derivative of s(x) wrt x?
-198
Let z(u) be the second derivative of 0*u**2 - 4*u + 0*u**5 + 2/15*u**6 + 5/12*u**4 + 0 + 0*u**3. Find the third derivative of z(s) wrt s.
96*s
What is the second derivative of 3*y**4 - 10*y**2 - 53*y - y**4 - 117*y wrt y?
24*y**2 - 20
Suppose 2*u - 2*c = -0*c + 54, 0 = -4*c. Differentiate 5 + 12 - 5 + u*o**2 wrt o.
54*o
What is the third derivative of 435*w**3 - 152*w**3 + 1 - 64*w**2 - 779*w**3 wrt w?
-2976
Let l(y) be the first derivative of -48*y**5/5 + 283*y + 53. What is the derivative of l(u) wrt u?
-192*u**3
Let t = 0 + 4. Suppose 2605*i - 2603*i - 4 = 0. Differentiate -230*h**i - 9 + 230*h**2 + 8*h**t wrt h.
32*h**3
Let y(z) = 4*z**3 - 2*z**2 + 2*z - 1. Let u be y(1). Differentiate 11 - 2*j**3 - 4*j**u + j**3 wrt j.
-15*j**2
Let w(x) be the second derivative of 0*x**5 + 0*x**3 - 6*x + 0*x**2 - 19/12*x**4 + 0*x**6 + 0 + 1/42*x**7. What is the third derivative of w(g) wrt g?
60*g**2
Let j be (3 - 0) + 0/(-4). Let m be (-3)/(-6) + (-33)/(-6). Find the first derivative of -j - 7*a + a + 6*a + m*a**3 wrt a.
18*a**2
Let b(w) be the first derivative of 64*w**2 - 143*w + 538. Differentiate b(y) wrt y.
128
What is the second derivative of 226*u + 1 - 216*u - 23*u**3 - 44*u**3 - 5*u**3 wrt u?
-432*u
Let f(x) = 106*x - 14. Let m(g) = 105*g - 15. Let l(t) = -4*f(t) + 5*m(t). Differentiate l(o) wrt o.
101
Let o(k) be the third derivative of 205*k**8/84 + k**5/15 + 38*k**3/3 - 772*k**2 - 1. What is the third derivative of o(a) wrt a?
49200*a**2
Suppose 0*s = -4*s. Suppose -2 = y - 6, s = 4*p - y - 24. Find the third derivative of 0*r**4 + r**6 + 4*r**2 + p*r**6 + 0*r**4 wrt r.
960*r**3
Let h = 12 - 8. Suppose 4*q - 2*d + 38 = 0, 3*q + 4*d = h*q + 27. Let v(p) = -7. Let i(u) = -u + 2. Let x(w) = q*i(w) - v(w). Differentiate x(z) wrt z.
7
Let j be (15/(-10))/((-3)/6). Let t(x) = 17*x**2 -