st derivative of v(w) wrt w.
246*w
Find the third derivative of -56*o**2 - 18*o**3 + 157*o**2 + 68 - 68 wrt o.
-108
Let x(l) = -10*l**4 + 43*l + 4. Let z(i) = 29*i**4 - 130*i - 11. Let f(o) = -11*x(o) - 4*z(o). Find the second derivative of f(r) wrt r.
-72*r**2
Find the third derivative of 6*q**2 - 141*q**3 + 3*q**5 - 2*q - 22*q**2 + 150*q**3 wrt q.
180*q**2 + 54
What is the first derivative of -40 + 262 - 46 + 6*t**4 + 66*t wrt t?
24*t**3 + 66
Let l(a) be the first derivative of 111*a**2/2 + 330*a + 477. Differentiate l(h) wrt h.
111
Let k(d) = d**4 + 3*d**3 + d**2 - 1. Let u(w) = 4*w**4 + 3*w**3 + w**2 - 5*w + 1. Let p(n) = k(n) - u(n). What is the second derivative of p(a) wrt a?
-36*a**2
Let s = 45 + -36. Find the second derivative of 46*r - 39*r - 3*r**2 + s*r**2 wrt r.
12
Let a(g) be the first derivative of 336*g**5/5 - g**3/3 - 13*g**2/2 + 374. Find the third derivative of a(r) wrt r.
8064*r
Let t(r) be the second derivative of 26*r**6/5 - 189*r**2/2 - 62*r - 2. Find the first derivative of t(m) wrt m.
624*m**3
Let n(c) be the second derivative of 19*c**3/3 - 7*c**2 + 4*c + 5. What is the first derivative of n(p) wrt p?
38
Let y(a) be the third derivative of 0*a**3 - 1/6*a**4 + 0*a**6 + 0 + 0*a + 4/105*a**7 + 0*a**5 + 24*a**2. What is the second derivative of y(r) wrt r?
96*r**2
Let b(h) = 2*h + 37. Let w be b(-18). Differentiate 4 - 8*u**3 - u**3 - w + 2 wrt u.
-27*u**2
Let p(k) be the second derivative of 37*k**5/4 + 203*k**4/6 + 2*k - 45. Find the third derivative of p(v) wrt v.
1110
Let c(s) = 138*s**5 - 3*s**2 - 7*s + 3. Let q(m) = 274*m**5 - 5*m**2 - 14*m + 8. Let z(h) = -5*c(h) + 3*q(h). Find the second derivative of z(d) wrt d.
2640*d**3
Differentiate -123 + 752*f - 7*f**2 - 379*f - 2*f**2 - 377*f wrt f.
-18*f - 4
Let p(v) be the first derivative of -v**7/42 - 2*v**4/3 - 5*v**3 - 8. Let d(f) be the third derivative of p(f). What is the first derivative of d(j) wrt j?
-60*j**2
Suppose -2*z - 6 = -28. Suppose -9 = 5*v - 6*v + 5*s, -3*s - z = -v. Differentiate 18*t**2 - 27*t**2 + v*t**2 + 4 with respect to t.
10*t
Let n(w) be the third derivative of -43*w**9/36 - 133*w**5/60 + 3*w**2 - 33. What is the third derivative of n(s) wrt s?
-72240*s**3
Let y(c) be the first derivative of -c**6/2 + 18*c**5/5 + c**2/2 - 55*c - 41. What is the second derivative of y(n) wrt n?
-60*n**3 + 216*n**2
Let a(n) = 14*n**3 + n**2 - 81. Let g(i) = -14*i**3 - 2*i**2 + 81. Let f(l) = 4*a(l) + 5*g(l). Differentiate f(j) wrt j.
-42*j**2 - 12*j
Let d(u) = -22*u - 19. Let o(r) = 87*r + 76. Let q(z) = 9*d(z) + 2*o(z). Differentiate q(p) with respect to p.
-24
What is the third derivative of 2*z + 523*z**3 - 2*z - 3*z**5 - 27*z**2 - 2*z**5 - 507*z**3 wrt z?
-300*z**2 + 96
Suppose -2*z = 3*m - 2*m - 11, -m = -5. Suppose 3*v + v = -2*c - 4, -c = -5*v - 19. Differentiate -5*q**c + q**4 + 4 + 7 - z*q**4 wrt q.
-28*q**3
Let w = 21 - 6. Find the second derivative of 293 - 293 + 36*i**2 - w*i wrt i.
72
Let u(g) = -388*g**2 - 24*g + 44. Let f(q) = -259*q**2 - 16*q + 29. Let d(v) = 8*f(v) - 5*u(v). Find the second derivative of d(i) wrt i.
-264
Suppose 0*a + 92 = 4*a. Find the second derivative of -a*o + 4*o + 9*o**2 + 7*o wrt o.
18
Differentiate 991 - 1866 + 585 - 338*n**4 with respect to n.
-1352*n**3
Let x be ((-3)/(-6))/(3/(-84)). Let b(f) = -f**2 - 14*f + 10. Let l be b(x). Differentiate -l*q + 2 + 4 + 6*q with respect to q.
-4
Let u(r) = -845*r**3 - 4*r**2 + 14*r + 360. Let g(o) = -422*o**3 - 2*o**2 + 6*o + 179. Let f(p) = 7*g(p) - 3*u(p). Find the third derivative of f(b) wrt b.
-2514
Let u(z) = -116*z - 101. Let h(j) = -235*j - 202. Let f(m) = -2*h(m) + 5*u(m). Differentiate f(w) with respect to w.
-110
Let m(v) be the second derivative of 0*v**5 + 0*v**3 + 3*v + 7/30*v**6 - 4/3*v**4 + 0*v**2 + 0. What is the third derivative of m(l) wrt l?
168*l
Let x(i) = i**2 - 2*i. Let g(d) = 11*d**4 + 11*d**2 - 12*d + 356. Let n(l) = g(l) - 6*x(l). What is the derivative of n(c) wrt c?
44*c**3 + 10*c
What is the second derivative of 18*j**2 - 4*j**2 - 5*j - 11*j**2 + 4*j**4 - 17*j wrt j?
48*j**2 + 6
Let m(s) be the third derivative of 11*s**7/105 - s**4/12 + 16*s**3/3 - s**2 + 77*s. Find the second derivative of m(t) wrt t.
264*t**2
Let m be ((-2)/(-6))/(5/405). Let x = 29 - m. Differentiate -10 - 1 + 7*j**x - 3 with respect to j.
14*j
Let r(t) = 104*t**3 - 129*t**2 - 3*t - 6. Let w(b) = -107*b**3 + 130*b**2 + 2*b + 4. Let l(x) = -2*r(x) - 3*w(x). Find the third derivative of l(q) wrt q.
678
What is the third derivative of 9*j**5 - 6*j**6 - 6 + 24*j**2 - 15*j**5 + 7 - 72*j**2 wrt j?
-720*j**3 - 360*j**2
What is the derivative of 42*n + 14*n**4 + 80 - 43*n - 16*n**4 - 19*n**4 wrt n?
-84*n**3 - 1
Let l(c) = -8*c - 11. Let r(o) = -14 - 1 + 4*o + 21. Let d(i) = 3*l(i) + 5*r(i). Find the first derivative of d(p) wrt p.
-4
Let u be ((-4)/(-7))/((-12)/(-42)). Differentiate -3*s**u - 5*s**2 + 4*s**2 + 12 wrt s.
-8*s
Let r(b) = -4*b**4 - 11*b**3 + 181*b**2 - 11*b - 944. Let w(t) = t**4 + 2*t**3 - 36*t**2 + 2*t + 189. Let n(a) = 2*r(a) + 11*w(a). Differentiate n(y) wrt y.
12*y**3 - 68*y
Let r = 11 + -8. What is the third derivative of -u**3 + 3*u**2 + r*u**3 + 7*u**4 - 2*u**3 wrt u?
168*u
Let w(k) = k**3 - 2*k**2 - 3*k + 3. Let x be w(4). Find the third derivative of 33*a**2 + x*a**5 + 4*a**2 - a**2 + 18*a**2 wrt a.
1380*a**2
Let x(w) be the second derivative of w**9/7560 - w**6/120 + w**4/4 + 14*w. Let i(u) be the third derivative of x(u). Find the second derivative of i(m) wrt m.
24*m**2
Let l(r) = -648*r**4 - 4*r**3 - 597*r - 16. Let b(p) = -649*p**4 - 5*p**3 - 597*p - 20. Let c(h) = 4*b(h) - 5*l(h). What is the second derivative of c(s) wrt s?
7728*s**2
Let h(p) be the second derivative of -56*p**3 - 233*p**2 - 15*p + 5. Find the first derivative of h(d) wrt d.
-336
Let l(s) = -s. Let b be l(-2). Suppose -3 - 2 = -p, b*w + 4*p = 24. Find the third derivative of 7*n**3 + 3*n**w + 2*n**2 + n**3 - 4*n**3 wrt n.
24
Suppose -96 = -5*d + 3*j, -2*d - 2*d = 2*j - 68. Find the first derivative of d*m**3 + 13*m**3 - 6 + 15 + 3 wrt m.
93*m**2
Let f(t) be the first derivative of -113*t**4/2 + 239*t**3/3 + 149. What is the third derivative of f(m) wrt m?
-1356
Find the first derivative of -2 + 6 + 3 + 8*d + 1 wrt d.
8
Find the third derivative of -12*d**3 + 9*d**3 + 50*d**2 + 18*d**5 - 42*d**5 wrt d.
-1440*d**2 - 18
Suppose m - 412 = -400. Let l(g) be the first derivative of -m + 5/2*g**2 + 0*g**3 - 11/4*g**4 + 0*g. What is the second derivative of l(k) wrt k?
-66*k
Suppose -3*r + 9 = 0, -3*k + r + 3 = -0*r. Find the second derivative of -81*c**k + 9*c + 181*c**2 - 89*c**2 wrt c.
22
Let n(l) = -2*l**3. Let r(k) = 170*k**3 + 2*k**2 + 16*k + 15. Let t(g) = -8*n(g) + r(g). What is the second derivative of t(x) wrt x?
1116*x + 4
Let l(d) = -50*d**3 - 7*d**2 - 10*d - 5. Let s(z) = -z**3 - z**2 + 2*z + 1. Let f(b) = -l(b) - 5*s(b). Find the third derivative of f(v) wrt v.
330
Let k(f) be the first derivative of 0*f**2 + 2/3*f**3 - 1 + f. Differentiate k(w) with respect to w.
4*w
Let u(d) be the third derivative of 89*d**7/210 - 41*d**5/12 + 14*d**2 + 2. What is the third derivative of u(z) wrt z?
2136*z
Suppose -4*x - 2*u + 8 = 2, -2*x + 12 = -2*u. Let i(v) = -v**2 - 6*v - 2. Let o be i(-5). What is the derivative of 0 + f**o + 4*f**x + 3 wrt f?
15*f**2
What is the second derivative of 287*y**3 + 111 - y - 145*y**3 + 13*y**4 - 142*y**3 wrt y?
156*y**2
What is the third derivative of 41*t**2 + 2*t**5 + 92*t**2 - 21600*t**3 + 21603*t**3 wrt t?
120*t**2 + 18
Let d(o) = 15*o**4 - 11*o**2 + 34*o + 9. Let z(q) = 23*q**4 - 16*q**2 + 51*q + 14. Let v(f) = -8*d(f) + 5*z(f). What is the second derivative of v(l) wrt l?
-60*l**2 + 16
Let x = 20 - 20. Suppose x = g + 4*t - 25, 2*g + 5*t - 96 = -g. What is the second derivative of 37*l**2 + 7*l**3 + 6*l - g*l**2 - 2*l**3 wrt l?
30*l
Let f(k) be the second derivative of -11/2*k**3 + 0 + 3*k - k**2. Differentiate f(s) wrt s.
-33
Find the third derivative of -160*h**2 + 20*h**4 + 7*h**5 + 2*h + h**2 - 14*h**4 wrt h.
420*h**2 + 144*h
Let z(v) = 9*v**4 + 4*v**3 + 4*v + 96. Let b(d) = -10*d**4 - 3*d**3 - 5*d - 96. Let t(u) = 4*b(u) + 5*z(u). What is the derivative of t(k) wrt k?
20*k**3 + 24*k**2
Let w = 24 + -8. Suppose w*r - 19*r = -9. What is the third deriv