3
Let o(b) = 1917*b**3 - 11*b**2 + 11*b + 818. Let v(k) = 641*k**3 - 4*k**2 + 4*k + 273. Let c(u) = 4*o(u) - 11*v(u). What is the derivative of c(n) wrt n?
1851*n**2
Let r(i) = 278*i**2 + 787*i + 5. Let l(y) = 139*y**2 + 393*y + 2. Let p(g) = -5*l(g) + 2*r(g). Find the second derivative of p(q) wrt q.
-278
Let n(h) be the third derivative of -19*h**6/120 + 19*h**3/3 - 40*h**2. What is the first derivative of n(g) wrt g?
-57*g**2
What is the derivative of 196 - 17*u + u + u**2 + 15*u - 14*u**3 - u**2 wrt u?
-42*u**2 - 1
Let r(u) be the second derivative of 13*u**8/336 - 7*u**5/60 - 9*u**2 + 14*u. Let z(y) be the first derivative of r(y). Find the third derivative of z(s) wrt s.
780*s**2
Let p(k) be the second derivative of 0 + 0*k**6 - 12*k - 5/28*k**8 + 0*k**7 + 0*k**3 + 0*k**2 + 0*k**5 - 1/6*k**4. What is the third derivative of p(l) wrt l?
-1200*l**3
Let n(v) = -v**3 - v**2 + v + 1. Let c be n(-2). Let t = c - -2. What is the third derivative of 3*h**2 - 2*h**5 + 2*h**2 - h**t wrt h?
-180*h**2
Let x(o) = -113*o + 42. Let q(g) = 171*g - 63. Let u(m) = -5*q(m) - 7*x(m). What is the derivative of u(a) wrt a?
-64
Suppose -5*u + 1 = -99. Let o = 23 - u. Find the third derivative of 9*m**2 - 4*m**5 + 9*m**3 - 8*m**5 - 9*m**o wrt m.
-720*m**2
Let z be (3 - 266/(-6))/((-8)/(-36)). What is the third derivative of 2 - 2 - z*w**3 - 29*w**2 + 246*w**3 wrt w?
198
Differentiate -6*q - 27 + 4*q - 410 - 157*q**4 + 143*q**4 with respect to q.
-56*q**3 - 2
Let h = -132 - -132. Let o(r) be the first derivative of 3/5*r**5 + 0*r**3 + 5 + h*r**2 - r + 0*r**4. Find the first derivative of o(c) wrt c.
12*c**3
What is the derivative of -267 - 248 - 260*b**3 - 769*b**3 - 102 wrt b?
-3087*b**2
What is the second derivative of -45*f + 118*f**2 + 571*f**2 + 54*f wrt f?
1378
Let f be (-770)/(-242) + (-4)/22. Find the second derivative of 10*t**3 + 2*t - 3*t**3 - f + 3 wrt t.
42*t
What is the derivative of 2*u + 65*u + 310 + 0*u + 9*u**3 - 11*u**3 wrt u?
-6*u**2 + 67
Let q(p) be the second derivative of 179*p**4/12 - 13*p**3/6 + p**2 + 27*p. What is the second derivative of q(z) wrt z?
358
Let f be (-1384)/(-40) + (-6)/10. Find the third derivative of -7*q**4 + 70*q - 70*q + f*q**2 wrt q.
-168*q
What is the derivative of -1766 - 35*p**4 - 5*p**4 + 1702 wrt p?
-160*p**3
Let g(a) = -59*a - 155. Let r(k) = 179*k + 468. Let y(u) = 7*g(u) + 2*r(u). Differentiate y(d) with respect to d.
-55
Let t = -623 + 623. Let v(q) be the third derivative of -1/3*q**3 + 1/60*q**5 + 0*q**4 + 0*q + t + q**2. Find the first derivative of v(j) wrt j.
2*j
What is the third derivative of -96*g**5 - 100*g**2 + 29*g**5 - 171*g**2 - 34*g**5 wrt g?
-6060*g**2
Let y(w) be the first derivative of w**6/30 - 5*w**4/24 - 9*w**2/2 + 6. Let n(k) be the second derivative of y(k). What is the second derivative of n(a) wrt a?
24*a
Find the third derivative of -11431*i + 8*i**5 + 11431*i - 90*i**2 wrt i.
480*i**2
Let b(c) be the second derivative of 0*c**2 + 5/12*c**4 + 0*c**3 + 0*c**5 - 9*c - 1/2*c**6 + 0. What is the third derivative of b(f) wrt f?
-360*f
Let w = 22 - 17. What is the second derivative of -5*s**4 - 16*s - 5*s + 8*s**w + 5*s**4 wrt s?
160*s**3
Let u(y) be the first derivative of -5*y**4 - 2*y**3/3 + 56*y**2 - 194. Find the second derivative of u(o) wrt o.
-120*o - 4
Let q(j) be the first derivative of -j**5/60 - 7*j**4/12 + 2*j**3/3 + 15. Let i(w) be the third derivative of q(w). Find the first derivative of i(m) wrt m.
-2
Let k(h) be the second derivative of -75*h**3/2 - 93*h**2 + 231*h. Differentiate k(l) with respect to l.
-225
Let l(v) be the first derivative of -100*v**3/3 - 21*v - 11. Differentiate l(u) with respect to u.
-200*u
Let h(f) be the third derivative of 181*f**7/210 + 27*f**3 + 89*f**2 - 1. What is the first derivative of h(q) wrt q?
724*q**3
Let s(m) be the first derivative of 12*m**2 - 138*m - 160. What is the derivative of s(k) wrt k?
24
Let j = -88 - -94. What is the third derivative of 62*k**j - 40*k**2 + 0*k**3 - 31*k**6 + 0*k**3 wrt k?
3720*k**3
Find the third derivative of -2225*v**3 + 29*v**5 + 121*v**2 + 1103*v**3 + 1123*v**3 wrt v.
1740*v**2 + 6
Let t(v) be the first derivative of 0*v + 2/5*v**5 + 7 + 0*v**3 + 0*v**4 + 11/2*v**2. What is the second derivative of t(h) wrt h?
24*h**2
Let g(y) be the third derivative of 1/4*y**5 - 9/40*y**6 + 0 + 0*y**4 + 10*y**2 + 0*y**3 + 0*y. What is the third derivative of g(o) wrt o?
-162
Let g(o) = 1395*o**3 - 14*o + 1013. Let j(y) = 697*y**3 - 8*y + 507. Let a(s) = -4*g(s) + 7*j(s). Differentiate a(m) wrt m.
-2103*m**2
Let s(t) = t**3 - 6*t**2 - 16*t + 7. Let q be s(8). What is the derivative of -234*i**3 - q*i**4 + 234*i**3 - 8 + 19 wrt i?
-28*i**3
Suppose 1 = -2*t + 7. Differentiate 16*g**4 - t - 9*g**4 + 3*g**4 with respect to g.
40*g**3
Suppose -23*q = 47*q - 210. Let b(y) be the first derivative of 4*y**2 - 2/3*y**q - 8 + 0*y. Find the second derivative of b(j) wrt j.
-4
Let h(m) = 14*m**3 + 345*m**2. Let n(c) = 21*c**3 + 517*c**2. Let d(r) = 8*h(r) - 5*n(r). Find the third derivative of d(t) wrt t.
42
Find the first derivative of 575 - 1272 + 7*r + 8*r - 4*r**3 wrt r.
-12*r**2 + 15
Let m(h) = 2*h - 3. Let p(c) = -83*c - 233. Let r(n) = -4*m(n) - p(n). Differentiate r(s) wrt s.
75
Find the third derivative of -116*f**6 - 13*f**2 + 160*f**6 + f**3 - f**3 wrt f.
5280*f**3
Let c(p) = -p**2 - 18*p - 76. Let h be c(-8). Let z(l) be the second derivative of 3*l**2 + h*l - 7/6*l**3 + 0. Differentiate z(w) with respect to w.
-7
Let n = -141 + 155. Suppose -z + 2*z + 4*l - 2 = 0, -42 = -4*z + l. What is the second derivative of 21*g - z*g**4 - 10*g - n*g wrt g?
-120*g**2
Let k(j) be the first derivative of 0*j**4 + 0*j - 19 + 0*j**2 + 11/3*j**3 + 7/5*j**5. What is the third derivative of k(v) wrt v?
168*v
Let s(o) = -46*o**2 - 64*o - 27. Let k(d) = 9*d**2 + 13*d + 5. Let m(r) = -11*k(r) - 2*s(r). What is the first derivative of m(t) wrt t?
-14*t - 15
Let f(d) be the first derivative of -d**6/3 + 68*d**5/5 - 38*d**2 + 432. Find the second derivative of f(z) wrt z.
-40*z**3 + 816*z**2
Let i(d) be the third derivative of d**6/120 - 17*d**4/24 - 3*d**3/2 - 80*d**2. What is the derivative of i(w) wrt w?
3*w**2 - 17
Let x(b) = 17*b - 306. Let q be x(18). Let l(t) be the first derivative of 13/2*t**2 + q*t + 2 - 13/3*t**3. What is the second derivative of l(n) wrt n?
-26
Let w(v) be the third derivative of v**6/8 - v**4/12 + 167*v**3/6 - 113*v**2. Differentiate w(b) wrt b.
45*b**2 - 2
Find the second derivative of -42*y + 49*y**2 + 5*y**3 + 44*y - 52*y**2 + 4 wrt y.
30*y - 6
Let k be (2/3)/(12/90). What is the third derivative of j**k + 30*j**5 - 14*j**2 - 13*j**5 wrt j?
1080*j**2
Let p(j) = j - 6. Let k be p(9). Find the second derivative of 21*o**k - 9*o - 10*o**3 - o**3 wrt o.
60*o
Let w = -53 + 59. What is the third derivative of 20*y**5 - w*y**2 - 3*y**2 + 4*y**5 wrt y?
1440*y**2
Let d(m) be the third derivative of -73*m**7/210 - m**5/20 + 11*m**4/24 - m**2 + 102*m. Find the third derivative of d(r) wrt r.
-1752*r
Let h(x) = -x**2 + 7*x - 3. Let w be h(5). Differentiate 0 + 151*q**2 + w - 149*q**2 wrt q.
4*q
Let b(r) = r**2 - 3*r - 13. Let v be b(-8). Differentiate -40 - 62*i - v*i + 98*i with respect to i.
-39
Let r(g) = -4*g**3 - 21*g**2 + 3*g - 5. Let c(y) = -4*y**3 - 23*y**2 + 4*y - 6. Let v(b) = -3*c(b) + 4*r(b). Find the third derivative of v(s) wrt s.
-24
Let p(b) be the first derivative of 3*b**5/10 + 23*b**4/24 + 9*b**2 - 5. Let l(y) be the second derivative of p(y). What is the second derivative of l(q) wrt q?
36
Let m(k) be the third derivative of k**8/84 - 23*k**6/120 - 53*k**4/3 + 488*k**2. Find the second derivative of m(n) wrt n.
80*n**3 - 138*n
Find the second derivative of -174*s - 866*s**2 + 334*s + 2 - 207*s - 176*s wrt s.
-1732
Suppose 5*g - 65 = -5*d, -3*g + 27 = -2*d - 17. Find the second derivative of 14*n**2 - 5*n**5 + 3*n - g*n**2 + 4*n wrt n.
-100*n**3
What is the third derivative of 27*c**2 - 19*c**5 + 0*c**4 + 38*c**2 + 3*c**4 wrt c?
-1140*c**2 + 72*c
Differentiate 4514 - 76*p - 3*p**3 - 4808 + 0*p**3 with respect to p.
-9*p**2 - 76
Let x be ((-16)/(-40))/((-1)/(-20)). Let z = 14 - x. What is the third derivative of 13*u**2 + 2*u**5 - z*u**5 - 16*u**2 wrt u?
-240*u**2
Let a(v) be the third derivative o