(r) = -164*r**3 + 89*r**2 - 4*r + 4. Let a(h) = -7*d(h) - 4*j(h). Find the third derivative of a(p) wrt p.
-960
Suppose 0 = 5*c - 37 - 8. Suppose c*b = 5*b. Find the second derivative of 0*s**3 - 7*s**5 + b*s**3 + 23*s - 18*s wrt s.
-140*s**3
Suppose 3*y - y - 2 = 0, -4*m + 5*y + 19 = 0. Find the second derivative of m*i + i**4 + 2*i**4 + 7*i + 2*i**4 wrt i.
60*i**2
Let z be (24/4)/2 - -11. Let h(j) = z - 27 + 14. Let g(p) = -3*p - 7. Let q(v) = g(v) + 3*h(v). What is the derivative of q(c) wrt c?
-3
Let z(t) be the second derivative of -t**4/2 + 14*t**3/3 + 68*t. Find the second derivative of z(v) wrt v.
-12
Find the third derivative of 7*p**2 + 33*p**5 - 14*p**2 + 28*p + 64*p**5 + 8*p**2 - 8*p**5 wrt p.
5340*p**2
Suppose 5*m + 0*m = 3*k - 31, -2*k = -2*m - 14. Find the third derivative of -7*p + 31*p + 31*p**3 + k*p**2 - 18*p**3 wrt p.
78
Let f(i) be the third derivative of -59*i**6/120 + 7*i**4/2 + 49*i**2. Find the second derivative of f(m) wrt m.
-354*m
Let l(h) = h**5 - h**2 - 1. Let j = -17 + 13. Let g(s) = 10*s**5 + 9*s**2 + 4. Let u(k) = j*l(k) - g(k). What is the third derivative of u(v) wrt v?
-840*v**2
Let g(x) = -258*x**3 + 4*x**2 - 676. Let n(f) = -1805*f**3 + 30*f**2 - 4733. Let i(r) = 15*g(r) - 2*n(r). Differentiate i(t) with respect to t.
-780*t**2
Let w(v) be the second derivative of -v**7/21 - 19*v**5/20 + v**4/3 + 7*v**3/6 - 129*v. Find the third derivative of w(a) wrt a.
-120*a**2 - 114
Suppose m - 7 = -2. What is the third derivative of m - h**3 - 2 - 11*h**2 - 3 wrt h?
-6
Suppose 0 = 2*l - 2*k - 444, 172 + 268 = 2*l + 2*k. Find the second derivative of 37*d**5 + 3*d - l + 221 wrt d.
740*d**3
Let l(s) be the first derivative of -3*s**2/2 - 17*s - 4. Let h be l(-7). Differentiate 11*x**h + 162*x - 162*x - 5 wrt x.
44*x**3
Let g(y) be the second derivative of 35*y**4/6 + y**3/3 + 8*y**2 - 119*y. What is the second derivative of g(v) wrt v?
140
Let p(j) = -5*j + 3. Suppose -71*g - 5 = -72*g. Let h(f) = -3*f**2 + f**2 + f**2 + f. Let y(a) = g*h(a) + p(a). What is the first derivative of y(m) wrt m?
-10*m
Let i(t) be the second derivative of -t**6/40 - 3*t**4/8 - t**2 + 5*t. Let s(b) be the first derivative of i(b). Find the second derivative of s(n) wrt n.
-18*n
Differentiate 5*q**2 + 26 - q**2 - 1186*q + 1197*q wrt q.
8*q + 11
Let l(h) be the second derivative of h**6/10 + 11*h**5/10 - h**4/12 - 7*h**3 + 156*h. What is the third derivative of l(j) wrt j?
72*j + 132
Let g(p) = -64*p**3 - 63*p**2. Let a(j) = 24*j**3 - 4*j**2 + 46*j**2 + 9*j**3 + 10*j**3. Let t(h) = 7*a(h) + 5*g(h). Find the third derivative of t(k) wrt k.
-114
Suppose -59*i + 15 = -54*i. Find the second derivative of -8*y - 99*y**3 + 16*y**5 + 99*y**i wrt y.
320*y**3
Let g(k) = 22*k**3 + 9*k. Let z(i) = -i**3 + i. Let c(m) = m**2 - 2*m + 6. Let d be c(0). Let w(p) = d*z(p) + g(p). Find the second derivative of w(t) wrt t.
96*t
Let a(g) be the first derivative of 3*g + 0*g**3 + 0*g**2 - 2/5*g**5 + 2 + 0*g**4. Differentiate a(i) wrt i.
-8*i**3
Suppose 2*d = 14*d. Let n(p) be the second derivative of 0*p**3 + d + 1/6*p**4 + 2*p + 3/2*p**2. Find the first derivative of n(l) wrt l.
4*l
What is the first derivative of -z**2 + 817*z**3 - 511 - 364 + 2*z**2 - z**2 wrt z?
2451*z**2
Let w be 6*(-4 - (-11)/3). Let g be (28/w)/(6 - 8). What is the derivative of -p**4 - 6 + 3*p**4 + g + p**4 wrt p?
12*p**3
Find the second derivative of 6*u**4 + 165*u + 8*u**4 + 8*u**4 wrt u.
264*u**2
Suppose 4*v + 5*w - 17 = 0, -2*w + 0 = -2. Suppose 5*c - 23 + 8 = 0. Find the second derivative of -2*l - 12*l**3 + 6*l**v + 6*l**c - 8*l**5 wrt l.
-160*l**3
Let v(a) = a - 12. Let i be v(9). Let d = 5 + i. Find the third derivative of 2*f + f**5 - 2*f - d*f**2 - 4*f**2 wrt f.
60*f**2
Let l(b) = -2*b**5 + 17*b**4 - 9*b - 4. Let o(g) = 2*g**5 - 15*g**4 + 8*g + 5. Let n(h) = -5*l(h) - 4*o(h). Find the second derivative of n(z) wrt z.
40*z**3 - 300*z**2
Find the first derivative of 33 + n**2 + 0 - 1 + 31*n + 71 wrt n.
2*n + 31
Let m(t) = -24*t**4 - 9*t**2 + 197. Let p(d) = -24*d**4 - 11*d**2 + 197. Let u(g) = -5*m(g) + 4*p(g). What is the derivative of u(o) wrt o?
96*o**3 + 2*o
Let k(l) be the first derivative of -3*l**8/560 - 31*l**6/360 + 14*l**3 - 28. Let m(o) be the third derivative of k(o). Find the third derivative of m(j) wrt j.
-216*j
Let x(p) = 38*p**4 - 3*p**3 - 3*p**2 - 37. Let o(b) = b**2 - 2*b**2 - 4 - b**4 - b**3 + 3. Let f(r) = 3*o(r) - x(r). What is the derivative of f(i) wrt i?
-164*i**3
Let d be (-2)/5 - (-70)/50. Let f = d + 5. Find the first derivative of f - 7*z + 12 - 27 wrt z.
-7
Suppose m = -58 + 59. Find the third derivative of -1 + 25*r**3 + 15*r**2 + 20*r**2 + m wrt r.
150
Let b = 232 - 227. Let z(a) be the second derivative of 0 + 1/2*a**2 - b*a + 0*a**3 - 1/4*a**4. What is the first derivative of z(c) wrt c?
-6*c
Let g(j) be the second derivative of 0*j**3 + 0 + 0*j**6 + 0*j**5 + 0*j**2 - 3/14*j**7 - 16*j - 7/12*j**4. What is the third derivative of g(l) wrt l?
-540*l**2
Let q(a) be the second derivative of -a**8/240 - 5*a**4/12 + a**3/3 - 12*a. Let c(l) be the second derivative of q(l). Find the first derivative of c(w) wrt w.
-28*w**3
Let h(x) be the third derivative of 61*x**5/30 + 2*x**4/3 - x**3/6 + 9*x**2 + 3*x. What is the second derivative of h(q) wrt q?
244
Let a(t) be the third derivative of 29/24*t**4 + 0*t + 7/60*t**5 - 40*t**2 + 0*t**3 + 0. Find the second derivative of a(y) wrt y.
14
Let k(q) be the third derivative of 0*q + 0 - 2*q**2 + 0*q**4 - 13/6*q**3 + 13/20*q**5. Differentiate k(t) with respect to t.
78*t
Suppose 17 = 3*p - 2*p. Suppose 0 = 4*t - 2*c - p + 3, -5*c + 15 = 0. Find the second derivative of -6*w + w + 4*w - t*w**3 wrt w.
-30*w
Let u(c) be the third derivative of c**9/84 - c**5/60 - c**3/6 - 2*c**2 + 3*c. What is the third derivative of u(n) wrt n?
720*n**3
Let n(g) = 10*g**4 - 55*g**3 + 145. Let k(q) = -17*q**4 + 17*q**4 + q**4 - 6*q**3 + 16. Let z(l) = -55*k(l) + 6*n(l). Find the first derivative of z(j) wrt j.
20*j**3
Let x(c) be the third derivative of -3/40*c**6 - 11*c**2 + 0*c**3 + 0*c**4 + 0 + 2/15*c**5 + 0*c. What is the third derivative of x(w) wrt w?
-54
Let n be (-45 - -7)/(0/(-2) + -1). What is the first derivative of -49 + n*r**3 + 4*r - 16*r**3 - 4*r wrt r?
66*r**2
Let x = -15 + -25. Let h be (x/(-15))/((-4)/(-6)). Differentiate -35 + 39 - 3*l**4 - l**h wrt l.
-16*l**3
What is the first derivative of 225 + 59*u**4 - 26*u**4 - 31*u**4 wrt u?
8*u**3
Let q(t) be the first derivative of -141*t**4/4 - 135*t - 244. Differentiate q(u) with respect to u.
-423*u**2
Let d(r) be the third derivative of r**7/105 - 23*r**4/8 - 53*r**3/3 - 147*r**2. Find the first derivative of d(c) wrt c.
8*c**3 - 69
Suppose 4*g - 4*m = 340, m + 122 = 2*g - 44. Suppose 2*k + 2*k + l = 15, -2*l + 18 = 5*k. Find the third derivative of 81*o + 3*o**2 - k*o**4 - g*o wrt o.
-96*o
Let m(l) = 282*l + 494. Let j(w) = 282*w + 499. Let s(i) = -3*j(i) + 4*m(i). What is the derivative of s(u) wrt u?
282
What is the second derivative of 23 - 4 + 22 + s + 3 + 305*s**4 + 1 wrt s?
3660*s**2
Let c be 4/14 - 24/(-14). Find the first derivative of -1 + 2 + 4 + 18*u**c - 6*u**2 wrt u.
24*u
Let t = 32 - 27. What is the first derivative of 4 + t*j**4 + 15*j**4 - 37*j**4 + 1 wrt j?
-68*j**3
Let j(w) be the second derivative of -10*w - w**4 + 0*w**3 + 0*w**5 + 0*w**2 - 7/30*w**6 + 0. What is the third derivative of j(f) wrt f?
-168*f
Let h(r) = -r**2 + 4*r + 2. Let p be h(4). What is the second derivative of 130*w**4 - p + 2 + 11*w - 133*w**4 wrt w?
-36*w**2
Find the third derivative of b**2 - 10 + 10 + 8*b**5 - 215*b + 187*b wrt b.
480*b**2
Let d(a) = -2*a - 11. Let g be 3/((-1)/(20/15)). Let c(r) = 3*r + 10. Let k(f) = g*c(f) - 3*d(f). Find the first derivative of k(y) wrt y.
-6
Let j(f) = -46*f**3 + 4*f - 206. Let r(b) = 15*b**3 - b + 69. Let y(q) = 3*j(q) + 10*r(q). What is the first derivative of y(i) wrt i?
36*i**2 + 2
Suppose 4*c + 553 = 5*a, 2*a + 0*a = 5*c + 704. Let v = c - -254. Find the third derivative of -112*s - 3*s**6 - 3*s**2 + v*s wrt s.
-360*s**3
Suppose -8*b = -877 - 59. Find the third derivative of k**4 - 8*k**5 + b*k**3 - 2*k + 2*k**5 - 117*k**3 - 4*k**2 wrt k.
-360*k**2 + 24*k
Let k(b) be the third derivative of -22/3*b**3 - 37/24*b**4 + 6*b + 0 +