
-240*z**3
Let h(o) be the third derivative of -o**6/120 + 71*o**4/24 - 22*o**3/3 - 313*o**2. Differentiate h(g) with respect to g.
-3*g**2 + 71
Suppose -p = -3*p - 3*k + 99, -42 = -p + k. Suppose -w = -6*w + p. Find the third derivative of 3*h**5 + 9*h**3 - w*h**3 - 5*h**2 + 0*h**2 wrt h.
180*h**2
Find the second derivative of -2*d**2 + 134*d**3 - 271*d**3 + 142*d**3 + 34*d wrt d.
30*d - 4
Let v(n) = 2*n**4 - 18*n**5 + 3*n**3 - n**3 + 2*n**5 + n. Let t(z) = z**5 - z**4 - z**3. Let y(j) = -2*t(j) - v(j). What is the second derivative of y(p) wrt p?
280*p**3
Let f be -2*(-2)/4*1. Suppose 0 = -p, -5*l - 4*p = f - 6. What is the derivative of -l - 2*j**2 + 0 + 3 wrt j?
-4*j
Suppose -24 = 10*o - 12*o. Find the first derivative of -16 - 21*q**4 + 7 - o*q**4 - 7 wrt q.
-132*q**3
Suppose 5*r + 2*t - 13 = 0, -2*r + 0*r - 3*t = -14. Let z = 5 + r. Find the third derivative of g**2 - 22*g**6 + 5*g**z + 5*g**6 + 7*g**6 wrt g.
-600*g**3
Let h be 6/153*-3 - (-312)/51. Let b(q) = -9*q**2 - 6*q - 56. Let x(z) = -9*z**2 - 7*z - 57. Let m(a) = h*x(a) - 7*b(a). Differentiate m(k) with respect to k.
18*k
Let c(n) = -1. Let m(l) = 63*l**3 - 25*l - 3. Let t(d) = 3*c(d) - m(d). Find the second derivative of t(q) wrt q.
-378*q
Let b be -2*(-303)/54 + 2/(-9). What is the third derivative of b*o**2 + 90*o**3 - 4*o**4 - 90*o**3 wrt o?
-96*o
Let s(o) be the first derivative of 200*o**7/7 + 8*o**3/3 - 11*o**2/2 + 8. What is the third derivative of s(m) wrt m?
24000*m**3
Find the first derivative of 31*x - 19 - 5*x**2 + 15 - 5 wrt x.
-10*x + 31
Let r(f) = f**3 + f**2 + 2*f + 1. Let j(l) = -234*l**3 - l**2 - l - 48. Let g(o) = -j(o) - r(o). What is the second derivative of g(w) wrt w?
1398*w
Let o(n) be the second derivative of 0*n**2 + 6*n - 7/10*n**5 + 1/3*n**4 + 0*n**3 + 0. What is the third derivative of o(i) wrt i?
-84
Let u(m) = 57*m**3 + 10*m**2 + 5*m - 122. Let h(s) = -2*s**2 - s - 1. Let i(a) = 10*h(a) + 2*u(a). Differentiate i(x) with respect to x.
342*x**2
Let q = -842 - -845. Let w(j) be the first derivative of -7/5*j**5 + 0*j**4 - 8/3*j**q + 0*j - 7 + 0*j**2. Find the third derivative of w(y) wrt y.
-168*y
Let t be (-4)/10 + 22/55. Let a = 2 - t. What is the derivative of 2 - 33*p**4 - 1 + a + 26*p**4 wrt p?
-28*p**3
Let s(d) be the second derivative of 0 + 0*d**2 + 32*d - 35/12*d**4 - 17/3*d**3. What is the second derivative of s(m) wrt m?
-70
Let b(j) be the first derivative of 0*j**4 - 6 + 0*j + 0*j**2 + 5*j**3 - 4/5*j**5. Find the third derivative of b(m) wrt m.
-96*m
Let u(z) be the first derivative of -z**4/2 - 5*z**3/3 - 3*z - 59. Differentiate u(t) with respect to t.
-6*t**2 - 10*t
Let h(b) = -b**4 + b**3 - b**2 - 1. Let d(o) = o**6 + 3*o**4 - 145*o**3 + 46*o**2 + 2. Let z(y) = -d(y) - 3*h(y). Find the third derivative of z(k) wrt k.
-120*k**3 + 852
Find the second derivative of -120*c**2 - 477 - 203*c**2 - c - c + c - c**3 wrt c.
-6*c - 646
What is the third derivative of d + d**6 + d + 0*d + 11*d**2 + 49*d**4 - 65*d**4 wrt d?
120*d**3 - 384*d
Let h(x) be the second derivative of 0*x**2 + 5/8*x**8 + 0 + 0*x**6 - 37*x + 7/4*x**4 + 0*x**5 + 0*x**7 + 0*x**3. What is the third derivative of h(g) wrt g?
4200*g**3
Suppose -3*g - 18 = -12*g. What is the third derivative of 3*h - 3*h - h**g + 9*h**4 - 29*h**2 wrt h?
216*h
Let o(w) be the first derivative of w**6/3 + 61*w**2/2 - 43. Find the second derivative of o(a) wrt a.
40*a**3
Suppose -2*f - 2*g - 8 = 0, 3*g - g = 5*f - 8. Let q(u) = -u**3 - u**2 + u + 17. Let h be q(f). Find the second derivative of -9*m**2 + 21*m - h*m + 8*m wrt m.
-18
Let d(g) = -g**3 + 6*g**2 - 6*g + 9. Let j be d(5). Let o(r) = -r + 7. Let b be o(j). What is the second derivative of 7*w - 2*w**b + 9*w**3 + 2*w wrt w?
42*w
Let z(q) = 126 - 4*q**2 + 3*q - 126 + 3*q**2. Let h be z(2). Find the third derivative of -3*u**h + 3*u**2 - 3*u**3 - 3*u**2 + 2*u**3 wrt u.
-6
Let n(p) = -p**3 + 1. Let g(o) = -37*o**4 - 5*o**3 - 95. Let z(l) = g(l) - 5*n(l). What is the first derivative of z(i) wrt i?
-148*i**3
Let m(v) be the first derivative of 0*v**6 - 12/7*v**7 + 12 + 0*v**5 + 0*v + 0*v**2 + 0*v**4 + 34/3*v**3. What is the third derivative of m(z) wrt z?
-1440*z**3
What is the third derivative of 150*d**6 - 303*d**6 + 4*d**2 + 7*d**2 + 152*d**6 - d**3 wrt d?
-120*d**3 - 6
Let s(v) = -105*v**3 - 8*v**2 - 346. Let q(w) = 104*w**3 + 6*w**2 + 345. Let j(h) = 4*q(h) + 3*s(h). What is the derivative of j(y) wrt y?
303*y**2
Let y be (1*48/40)/((-6)/(-20)). Find the second derivative of 3*x**2 + 17*x**y - 16*x - 6*x - 3*x**2 wrt x.
204*x**2
Suppose -3*t + 3*g - 6 = 0, 0 = 5*t - 3*g - g + 7. Let h be (5 + 1)*t/3. Find the first derivative of -5 + 4*n**2 + 2*n**3 + 4 - 4*n**h wrt n.
6*n**2
Let z(d) = -d - 4. Let l be z(-14). Find the third derivative of -9*y + l*y**4 + 8*y**2 + 9*y wrt y.
240*y
Let w(i) be the third derivative of i**9/84 - i**8/42 - 2*i**5/5 - i**4/24 - 69*i**2. What is the third derivative of w(s) wrt s?
720*s**3 - 480*s**2
Let a(p) = -319*p + 5. Let o(y) = -y + 2. Let l(u) = -a(u) - 6*o(u). Differentiate l(q) with respect to q.
325
Let d(f) be the second derivative of -44*f**3/3 - 47*f**2 + 2*f - 12. Differentiate d(r) with respect to r.
-88
Let g be (-129)/(-72) + (10/(-16))/5. Let x(w) be the first derivative of -2*w - 1 + 0*w**2 - g*w**3. What is the derivative of x(k) wrt k?
-10*k
Let k(w) = 14*w**2 + 13*w - 4. Let x(g) = 70*g**2 + 65*g - 21. Let l(r) = 11*k(r) - 2*x(r). What is the second derivative of l(a) wrt a?
28
Let c(l) = 0*l**2 + 39*l**3 + 0*l - l + l**2 - 37*l**3. Let k be c(1). Find the first derivative of 1 - 7 - k + 6*q**2 wrt q.
12*q
Let y(r) be the second derivative of 7*r**6/120 + 4*r**3/3 - r**2 + 4*r. Let b(g) be the first derivative of y(g). What is the derivative of b(s) wrt s?
21*s**2
Let w(v) be the first derivative of -58*v**4 + v**3/3 - 65*v + 428. What is the first derivative of w(d) wrt d?
-696*d**2 + 2*d
Let y = -8 + 27. Differentiate -18 + y + 17*d - 32 wrt d.
17
Suppose 0 = 4*k - 27 + 7. Let r be (-20)/(-6)*12/k. What is the third derivative of 2*n**3 - r*n**3 + n**2 + 7*n**3 + 6*n**2 wrt n?
6
Let s(j) be the first derivative of j**8/120 - 11*j**5/60 + 13*j**3 + 14. Let i(k) be the third derivative of s(k). Find the second derivative of i(u) wrt u.
168*u**2
Let d(v) = v**2 + 3*v + 2. Let a be d(-3). Find the second derivative of -8*n + a - 9*n**4 - 24*n**3 - 20*n**3 + 66*n**3 - 20*n**3 wrt n.
-108*n**2 + 12*n
What is the third derivative of 512 - 261 - 253 + 161*y**2 - 668*y**3 wrt y?
-4008
Let i(y) = 19*y**4 - 6*y**3 - 17*y**2 - 3*y + 170. Let g(n) = 37*n**4 - 10*n**3 - 33*n**2 - 5*n + 340. Let p(c) = -3*g(c) + 5*i(c). Differentiate p(x) wrt x.
-64*x**3 + 28*x
Let o(d) = 3*d + 28*d**3 - 15*d**3 + 2 + 9*d**3. Let u(v) = -22*v**3 - 2*v - 1. Let l(m) = -2*o(m) - 3*u(m). Differentiate l(w) wrt w.
66*w**2
Let t(p) be the second derivative of -20*p + 0*p**5 + 0*p**6 + 0 - 17/6*p**3 + 0*p**2 - 1/6*p**7 + 0*p**4. What is the second derivative of t(d) wrt d?
-140*d**3
What is the third derivative of -6*v**6 + 174*v**2 + 17*v**5 - 29*v**6 - 41*v**2 + 33*v**6 wrt v?
-240*v**3 + 1020*v**2
Let f = -5 - -7. What is the third derivative of 3*b**4 - 14*b**2 + b**f - 2*b**4 wrt b?
24*b
Suppose -3*m - 3*p = -6, -3*m + 5*p = 2*m + 20. Let w = m + 3. What is the second derivative of 2*t**w - 12*t - 2*t**2 + 7*t + 2*t**2 wrt t?
4
Let t(h) = -534*h**4 - h**3 - 2*h**2 + 14*h - 6. Let a(l) = l**3 + 2*l**2 + 2*l + 1. Let d(j) = a(j) + t(j). Find the second derivative of d(x) wrt x.
-6408*x**2
Find the third derivative of -36*p**6 - 29*p**6 - 2*p**2 + 55*p**6 - 3*p - p wrt p.
-1200*p**3
Let c(i) be the third derivative of 16*i**2 + 7/24*i**4 + 0*i**3 + 0*i**5 + 0*i + 0 + 1/120*i**6. What is the second derivative of c(w) wrt w?
6*w
Let t(v) = -1016*v**3 + 190. Let s(q) = -339*q**3 + 62. Let m(h) = -7*s(h) + 2*t(h). Find the first derivative of m(r) wrt r.
1023*r**2
What is the second derivative of 243*m**3 + 194*m**3 - 489*m**3 + 179*m**3 - 427*m wrt m?
762*m
Differentiate -3*x**2 - 7*x**4 - 8*x**4 - 2*x**2 + 297 - 2*x**2 + 26*x**4 with respect to x.
44*x**3 - 14*x
Find the first derivative of -a - 4*a - 2*a - 2*a - 241 - 9*a wrt a.
-18
Let c(p) = -809*p - 810. Let m(i) = -1213*i - 1217. Let o(x) = 7*c(x) - 5*m(x). What is 