k(s) wrt s?
-128*s
Suppose 2*w = -g + 20, -3*w - 30 = -g - 0*w. What is the third derivative of 2*c**6 - 6*c**3 + 2*c**3 + 0*c**3 + g*c**2 wrt c?
240*c**3 - 24
Let j(y) = 20370*y - 13918. Let i(b) = -6785*b + 4639. Let f(q) = -8*i(q) - 3*j(q). Differentiate f(v) wrt v.
-6830
Let l(a) = -a**2 - 4*a + 126. Let s be l(9). What is the second derivative of 7 + f - 84*f**5 - 32*f**2 + 15*f**2 - s + 19*f**2 wrt f?
-1680*f**3 + 4
Let y(h) = h + 3. Let q be y(-5). Let p be (20/(-30))/(q/6). Find the third derivative of p*i**2 + 4*i**4 + 6*i**2 - 16*i**4 - 3*i**4 wrt i.
-360*i
Suppose -4*c - 5*a = -319, 2*c - 243 + 66 = a. Find the first derivative of -195 - y**4 - c*y**2 - 12*y**2 - 12*y**2 wrt y.
-4*y**3 - 220*y
Let d(n) = -1338*n**3 - 20*n**2 - 7*n + 18110. Let q(r) = -669*r**3 - 11*r**2 - 4*r + 9064. Let w(u) = 4*d(u) - 7*q(u). Differentiate w(c) wrt c.
-2007*c**2 - 6*c
Let n(u) = -4*u - 68. Let w be n(-18). What is the third derivative of 39*t**2 + 98*t**2 + 10*t**2 - 34*t**3 - 2*t**w + 0*t**3 - 6*t**2 wrt t?
-48*t - 204
What is the derivative of 4868*h**2 + 1104*h**2 - 230*h**2 - 4919 wrt h?
11484*h
Suppose 9 = 2*h - 3*f, 6*h = 3*h - 4*f + 5. Find the first derivative of 95 - 30*n**3 + 30*n**h - n**4 + 2*n**4 - 27*n wrt n.
4*n**3 - 27
Let u(z) be the third derivative of 0 - 13/8*z**4 + 23/3*z**3 - 67*z**2 + 0*z. Find the first derivative of u(h) wrt h.
-39
Let v(a) = -1195*a**3 + 1939*a**2 - 22*a - 11. Let w(i) = 239*i**3 - 388*i**2 + 4*i + 2. Let t(m) = -6*v(m) - 33*w(m). Find the third derivative of t(b) wrt b.
-4302
Let s(p) be the third derivative of 251*p**5/10 - 31*p**4/12 - 3*p**2 - 190*p. What is the second derivative of s(a) wrt a?
3012
Find the first derivative of 1208*b + 15 + 36 - 25 + 11 + 42 wrt b.
1208
Let j(i) be the first derivative of 5*i**7/7 - 102*i**5 + i**3/3 + 199*i**2/2 + 2*i - 6318. Find the third derivative of j(n) wrt n.
600*n**3 - 12240*n
What is the second derivative of 262*c + 1048*c**2 - 327*c - 566*c + 127*c - 547*c wrt c?
2096
Let u be 7 + 325/(-45) + 20/9. What is the third derivative of -r**2 + 561 - 566 + 4*r**u - 26*r**3 - 7*r**3 wrt r?
-198
Let x(p) be the first derivative of 958*p**5/5 - 2809*p**2/2 + 2261. Find the second derivative of x(c) wrt c.
11496*c**2
Find the second derivative of 1986*a + 1107*a + 2718*a - 7896*a**2 - 158*a - 123*a wrt a.
-15792
Let p(x) = 1 - 6 + 147*x + 62*x**2 - 9*x**2 + 6*x. Let s(f) = 26*f**2 + 77*f - 2. Let i(l) = -2*p(l) + 5*s(l). Find the second derivative of i(h) wrt h.
48
Let o(v) be the second derivative of -5971*v**6/30 + 113*v**3/6 - 3*v**2/2 - 36*v - 28. What is the second derivative of o(a) wrt a?
-71652*a**2
Let w(t) = -63*t**2 - 51*t - 4. Let i(m) = -28*m - 63*m**2 - 6360 - 23*m + 6354. Let q(z) = 6*i(z) - 9*w(z). What is the second derivative of q(h) wrt h?
378
Let o be 1 + (1 - 1) - (-46 + -6). What is the third derivative of 6 - 18*v**2 - o*v**3 + 17*v**2 + 2*v**2 wrt v?
-318
Let a(p) = -2*p**2 + 33*p - 14. Let u be a(16). What is the derivative of 6*j - 9*j + 4*j - 4*j**3 + 3*j**3 + u*j + 262 wrt j?
-3*j**2 + 3
Let h(c) be the second derivative of -c**4/6 - 180*c**3 + 1579*c**2 + 2175*c. Differentiate h(v) wrt v.
-4*v - 1080
Let r = 47 - 52. Let z be 13 - 1 - (2 - (r + 5)). What is the first derivative of b**2 - 19 - 6*b**2 + z*b**2 + 9*b**2 wrt b?
28*b
Suppose 52*z - 51*z = 81. Suppose 10*m - z = m. What is the second derivative of -9*i**2 + m*i**2 + 10*i - i**2 wrt i?
-2
Let j(c) = 707*c**2 - c + 6. Let v be j(2). What is the first derivative of v - 2881 - 56*l - l + 7*l wrt l?
-50
Let p be (15*10/(-45))/(5/(-15)). Find the second derivative of -p*t**4 - 2*t + 165*t**5 - 82*t**5 - 82*t**5 + 33 wrt t.
20*t**3 - 120*t**2
Let o(v) be the second derivative of 10067*v**7/42 - 4220*v**3/3 + 10818*v. What is the second derivative of o(t) wrt t?
201340*t**3
Let d(f) be the third derivative of -f**9/21 - f**7/210 - f**6/24 - 293*f**5/30 - f**3/3 - 11*f**2 - 3*f - 5. Find the third derivative of d(p) wrt p.
-2880*p**3 - 24*p - 30
Differentiate -2*l**2 + 27*l - 220*l - 259*l + 52*l + 33*l + 54 with respect to l.
-4*l - 367
Let x(c) = -c + 27. Let y be x(16). Differentiate y*j + 3*j**2 + 2 - 13*j - 87 - 23 with respect to j.
6*j - 2
Find the second derivative of 98*d - 1718*d**3 - 1156*d**3 - 260 - 601*d**3 + 282 wrt d.
-20850*d
What is the first derivative of -2506*a**3 - 7637*a**3 + 7428 + 856 wrt a?
-30429*a**2
Suppose 1 = 3*w - 2*s + s, 5 = -5*w + 3*s. Find the third derivative of 1944*d**4 - d + w*d - d + 20*d**6 + 30*d**2 - 1940*d**4 wrt d.
2400*d**3 + 96*d
Let c be (((-15)/10)/3)/((-8)/48). Let s(m) be the first derivative of 7 + 0*m**2 - 21/5*m**5 + 0*m**4 + 0*m**c + 31*m. Find the first derivative of s(l) wrt l.
-84*l**3
Let b(k) = -k + 13. Let r(q) = 1248*q + 1612. Let w(m) = 3*b(m) - r(m). Differentiate w(y) wrt y.
-1251
Let h(j) be the first derivative of -499*j**6/6 - 5*j**3 - 27*j**2 - 971. Find the third derivative of h(u) wrt u.
-29940*u**2
Suppose 0*w + 2*w = 6. What is the second derivative of -13*j**3 + 20 + 12*j**w - 19 - 25*j - 13*j**4 wrt j?
-156*j**2 - 6*j
Let i(o) be the third derivative of 487*o**7/30 - o**5/60 + 449*o**4/8 - o**3/3 - 397*o**2 + 2. Find the second derivative of i(t) wrt t.
40908*t**2 - 2
Let x(q) be the third derivative of 0*q**6 + 123*q**2 - 31/24*q**4 + 0*q + 0*q**3 + 0 + 59/105*q**7 - 1/20*q**5. Find the third derivative of x(t) wrt t.
2832*t
Let w(p) = 1501*p**3 - 69*p**2 - 9*p - 4. Let k(g) = 7*g**3 + g**2 + g + 2. Let n(b) = -2*k(b) - w(b). What is the third derivative of n(a) wrt a?
-9090
Let s(o) be the first derivative of 41*o**5/5 + 2*o**4 + 635*o**3/3 - 4592. What is the third derivative of s(w) wrt w?
984*w + 48
Let q(x) = 2*x**2. Let g(i) = 17*i**2 - 2*i - 215. Let f(d) = -g(d) + 10*q(d). Differentiate f(v) with respect to v.
6*v + 2
Let t(k) be the second derivative of -169*k**7/6 + k**4/6 - 193*k**2/2 + 32*k + 18. Find the third derivative of t(q) wrt q.
-70980*q**2
Let n(b) be the third derivative of 1529*b**6/120 - 2417*b**3/6 + 1491*b**2. Differentiate n(q) wrt q.
4587*q**2
Let n(m) = -8657*m**4 + 88*m + 1419. Let x(p) = -p**4 - 2*p + 1. Let c(g) = n(g) + 44*x(g). Find the first derivative of c(d) wrt d.
-34804*d**3
Let m(k) be the third derivative of 0*k**3 + 41/210*k**7 + 0*k**6 + 0 - 1/30*k**5 - 8*k + 11/12*k**4 - k**2. What is the third derivative of m(s) wrt s?
984*s
What is the second derivative of -300*u + 163*u + 575*u**5 - 284*u wrt u?
11500*u**3
Differentiate 13*h**2 + 322 + 1272*h + 1851 + 1283*h + 1272*h - 3838*h + 2*h**3 wrt h.
6*h**2 + 26*h - 11
Suppose 47*m = 35*m + 192. What is the second derivative of -69*f + 17*f - f**5 - 3*f**4 + m*f**5 + f**4 wrt f?
300*f**3 - 24*f**2
Let g(d) be the first derivative of -3041*d**5/5 + 1053*d**3 + 1183. What is the third derivative of g(c) wrt c?
-72984*c
Let p(z) = -3*z + 8. Suppose 5*j + 0*j - 10 = 0. Let f be p(j). What is the second derivative of -15*v**f - 21*v**2 + 25*v**2 - 15*v wrt v?
-22
Let z(s) be the first derivative of 71*s**5 - 2*s**3/3 - 1796*s - 533. What is the derivative of z(w) wrt w?
1420*w**3 - 4*w
Let j = 271 + -227. Differentiate -j*n**4 + 2*n**2 - 2*n**2 - 363 + 341 wrt n.
-176*n**3
Let t(p) be the third derivative of 55/8*p**4 + 8 + 0*p**6 + 0*p + 25/42*p**7 + 0*p**3 - 10*p**2 + 0*p**5. Find the second derivative of t(h) wrt h.
1500*h**2
Let n(p) be the second derivative of 1023*p**4/4 + 2619*p**2/2 - 308*p + 2. Differentiate n(f) with respect to f.
6138*f
Let y(f) be the second derivative of -1/10*f**6 + 0*f**4 + 5/6*f**3 - 177*f + 0*f**5 + 0 - 31*f**2. Differentiate y(j) wrt j.
-12*j**3 + 5
Let a(o) = 34*o + 1. Let l be a(-1). Let r = l + 39. What is the first derivative of -r + 8*c**2 + 2*c**2 - 4*c**2 + 2*c**2 wrt c?
16*c
Let v(l) = 37*l - 66. Let c(d) = 74*d - 136. Let z(m) = 1. Let t(i) = c(i) + 4*z(i). Let s(g) = -4*t(g) + 9*v(g). What is the first derivative of s(b) wrt b?
37
Let r be ((-25)/5 - 0)*(-28)/10. Suppose -2*q + h - 6*h = -24, r = -3*q + 5*h. What is the third derivative of -4*s**6 + s**6 - 4*s**2 + 9*s**2 - q*s**2 wrt s?
-360*s**3
What is the third derivative of -2532*g**4 - 55*g**2 - 192*g**2 + 0*g**5 - 431 + g**5 + 431 wrt g?
60*g**2 - 60768*g
What is the third derivative of 1152*h**2 - 2 - 4018*h**3 + 1130*h**