 w(k) = -1675*k**3 + 22*k**2 + 22*k - 572. Let x(s) = -1674*s**3 + 24*s**2 + 24*s - 571. Let m(l) = 12*w(l) - 11*x(l). Differentiate m(z) wrt z.
-5058*z**2
What is the third derivative of -4*x + 442*x**5 - 2*x + 8*x**2 + 49*x**2 + 4554*x**5 wrt x?
299760*x**2
Find the third derivative of -152969 + 160037 + 3*i**2 + 5528*i**3 - 2*i**2 wrt i.
33168
Let z(a) = -5*a**2 - 2720*a - 8462. Let t(u) = u**2 - 15. Let h(n) = 3*t(n) + z(n). Find the first derivative of h(q) wrt q.
-4*q - 2720
Suppose 4*c - 12 = c. Suppose 0 = -2*i + 5*i + 6, -c*y = -4*i - 24. Find the first derivative of 1 - 3 - y*h**3 - 2*h**3 + 14 wrt h.
-18*h**2
Let n(o) = -8467*o**2 - 9978*o - 30. Let p(c) = -8476*c**2 - 9977*c - 36. Let s(u) = -6*n(u) + 5*p(u). Find the second derivative of s(g) wrt g.
16844
Let f(b) be the third derivative of 32*b**7/3 + 287*b**3/6 - 4*b**2 + 2*b. Find the first derivative of f(r) wrt r.
8960*r**3
What is the derivative of 5666 + 4173 - 4436*y + 5690 - 4029*y wrt y?
-8465
Suppose -3*n - 6*n - 5*n = 0. What is the second derivative of -2 + 4 + 37*o + 172*o**4 - 11*o + n wrt o?
2064*o**2
Let b(l) = l**2 + 4*l. Let d(j) = -8*j - 123 + 29 - 70*j**2 + 24*j. Let f(c) = 4*b(c) - d(c). What is the first derivative of f(t) wrt t?
148*t
Suppose -42 = -5*j + 73. Let f = j - 18. What is the second derivative of 27*r**f - 3*r - 3*r - 11*r**5 wrt r?
320*r**3
What is the derivative of 150 - 48*v**3 + 508 - 270 + 1215 + 9*v wrt v?
-144*v**2 + 9
Let v(u) = -3195*u**3 - 4615*u**2 + 5*u - 7. Let z(t) = 1596*t**3 + 2307*t**2 - 2*t + 3. Let i(s) = 2*v(s) + 5*z(s). What is the third derivative of i(f) wrt f?
9540
Suppose -1368 = r + 11*r. Let w = 129 + r. Find the third derivative of 3*i**3 + 13*i**3 + w*i**2 + 17*i**3 wrt i.
198
Let t(s) be the first derivative of 365*s**2/2 + 1059*s - 55. Find the first derivative of t(v) wrt v.
365
Let l(y) = -y**3 + 12*y**2 - 24*y + 22. Let c be l(9). What is the derivative of -35 - 89*p**2 - 3 - 43 + 26 - c + p**4 wrt p?
4*p**3 - 178*p
Find the third derivative of -3034*q**3 - 4106*q**2 + 6224*q**2 + 1038*q**3 wrt q.
-11976
Let b = -26310 - -78940/3. Let q(y) be the third derivative of 11/24*y**4 + b*y**3 + 36*y**2 + 0 + 0*y. Differentiate q(d) wrt d.
11
Find the third derivative of 5481*i**4 + 296 - 1650684*i**2 + 1650683*i**2 + 5 + 6*i wrt i.
131544*i
Let b(r) be the first derivative of -82*r**7 - 527*r**3/3 - 1234. Find the third derivative of b(a) wrt a.
-68880*a**3
Suppose 0 = 4*m - 4, 0*m = -d + 5*m - 6. Let w be 12*(((-24)/9)/(-2) + d). What is the second derivative of 23*l**w + 6*l + 10*l + 22*l wrt l?
276*l**2
Let b(w) be the first derivative of w**4/2 - 933*w**3 + w**2/2 + 5318*w + 1376. Find the second derivative of b(s) wrt s.
12*s - 5598
What is the second derivative of u**5 + 112*u**3 + 4909*u - 1024*u**2 + 114*u**3 - 332*u**3 + 105*u**3 + 3634*u**2 wrt u?
20*u**3 - 6*u + 5220
Let f(n) = n - 3. Let d(a) = -a**2 - a + 19. Let b be d(4). Let p(g) = 170*g - 190. Let j(z) = b*p(z) - 2*f(z). Differentiate j(k) wrt k.
-172
Let q(u) be the third derivative of 1129*u**9/504 + 67*u**5/5 + 144*u**2. What is the third derivative of q(d) wrt d?
135480*d**3
What is the first derivative of -98366*k**3 - 845 + 331 + 97987*k**3 wrt k?
-1137*k**2
Let d be (-19)/6 - -3 - (-903)/18. Let q = 54 - d. Find the first derivative of -7 + 3*m**4 + 4*m**q + 0 + 16*m**4 wrt m.
92*m**3
What is the second derivative of v**2 - 2340*v - 830*v + 4597*v**5 - 3726*v**5 wrt v?
17420*v**3 + 2
Let v(a) be the first derivative of a**6/6 + 50*a**3/3 + a**2 - 185*a + 3676. Find the second derivative of v(n) wrt n.
20*n**3 + 100
Suppose 5*y + 55 = 85. What is the second derivative of 2*m - 1 - 1 - 4 - 1 + y*m**4 + 15*m**4 wrt m?
252*m**2
Let s(o) be the first derivative of 0*o + 42*o**3 + 40 + 25/2*o**2. What is the second derivative of s(n) wrt n?
252
Let b(n) be the third derivative of 727*n**6/60 + 345*n**3/2 + 1928*n**2. What is the first derivative of b(p) wrt p?
4362*p**2
Let i(o) be the second derivative of o**8/1120 + o**6/720 + 83*o**5/120 - 5*o**4/2 - 35*o. Let g(z) be the third derivative of i(z). Differentiate g(a) wrt a.
18*a**2 + 1
Find the third derivative of -b**3 - 2758*b**2 + 268*b**4 - 4*b**5 + 2*b**5 + 454*b**4 - 11*b**4 - 51*b**4 wrt b.
-120*b**2 + 15840*b - 6
Differentiate 15*v**2 + 167 + 7*v**3 - 34*v**3 - 53*v**2 + 68*v**2 wrt v.
-81*v**2 + 60*v
Let z be (72/90)/((-2 - 0)/((-10)/8)). Let k(m) be the first derivative of -14 + 5*m**4 + 0*m + 0*m**3 + z*m**2. Find the second derivative of k(j) wrt j.
120*j
Let q be -11708*1*7/(-28). What is the derivative of -q*p**2 + 2927*p**2 - 78 + 42*p**4 wrt p?
168*p**3
Let i(o) = 2*o**2 + 4*o + 3. Let s be i(-3). Let q = -6 + s. What is the third derivative of -7*f**2 - 3*f + f**3 + q*f - 11*f**2 wrt f?
6
Let v(u) = 1106*u**3 - 762*u**2 - 3*u. Let j(h) = 3317*h**3 - 2284*h**2 - 8*h. Let b(i) = -3*j(i) + 8*v(i). Find the third derivative of b(t) wrt t.
-6618
Let x(q) be the second derivative of 187*q**5/10 - 205*q**2 - q + 334. Find the first derivative of x(j) wrt j.
1122*j**2
Let p(j) be the first derivative of -2150*j**7/7 + 1729*j**3 - 3310. Find the third derivative of p(n) wrt n.
-258000*n**3
Differentiate 549*c + 136*c**2 + 5*c**4 + 4*c**3 - 125*c**2 - 549*c + 123 - 18*c**3 with respect to c.
20*c**3 - 42*c**2 + 22*c
Let b(w) be the third derivative of -101*w**9/63 + w**5/15 + 7*w**4/12 - 416*w**2 - w. Find the third derivative of b(v) wrt v.
-96960*v**3
Let o(q) = 5*q**3 - 4*q**2 - 5*q - 24. Suppose -4*c - 25 = -29. Let f(m) = -m**2 - m + 1. Let t(i) = c*o(i) - 5*f(i). Differentiate t(j) wrt j.
15*j**2 + 2*j
Let z(q) be the third derivative of -137*q**4/3 + 1709*q**3/6 + 711*q**2. Find the first derivative of z(v) wrt v.
-1096
Find the second derivative of 1606*m + 223*m**4 - 1149*m - 15*m**5 - 1427*m wrt m.
-300*m**3 + 2676*m**2
Let w(y) be the third derivative of -124*y**4/3 + 14*y**3/3 + 484*y**2. What is the derivative of w(u) wrt u?
-992
Differentiate -22 + 300*s + 27 - 58 - 211*s - 79 wrt s.
89
Let w(o) be the third derivative of 436*o**7/105 - 77*o**4/24 + o**3/6 + 810*o**2. Find the second derivative of w(z) wrt z.
10464*z**2
Let b(u) = -u**3 - 6*u**2 + 7*u + 5. Let f be b(-7). Find the third derivative of 74*c**2 + 2*c + 8*c**5 - 5*c**5 + 138*c**f wrt c.
8460*c**2
Let k = 127 + -125. What is the second derivative of -11*z**3 + 291*z**2 - 117*z - 291*z**k - 137*z**5 + 11*z**3 wrt z?
-2740*z**3
Let x(r) = 24378*r + 45654. Let t(a) = -2868*a - 5371. Let y(f) = 42*t(f) + 5*x(f). Find the first derivative of y(i) wrt i.
1434
Let r(s) be the second derivative of -3460*s**4/3 - 3366*s**2 + 771*s + 1. Find the first derivative of r(k) wrt k.
-27680*k
What is the third derivative of 17*i**4 - 5192 + 2597 + 136*i**2 + 2597 + 26*i - 20*i**4 - 637*i**3 wrt i?
-72*i - 3822
Let c(a) be the third derivative of 1853*a**6/60 - a**5/30 - 1819*a**3/2 + 216*a**2. Find the first derivative of c(b) wrt b.
11118*b**2 - 4*b
Suppose -9*p + 30 = p. Differentiate -453*u**3 - 1 - u + 2*u**2 - 2*u**2 + 443*u**3 - p*u with respect to u.
-30*u**2 - 4
Suppose 5*x = 3*y - 210, -2*y + 140 = 5*x - 8*x. What is the second derivative of 43*n**2 + 150*n**2 - y*n**2 - 178*n wrt n?
246
Let d(r) = -r**3 + 9*r**2 - 11*r + 101. Let w be d(9). What is the second derivative of -154*z**2 + 151*z - 132*z**2 + 69*z**w wrt z?
-434
What is the second derivative of 2650*t - 4*t**2 - t**3 - 379*t + 11*t**2 + 11*t**3 + 225*t**3 wrt t?
1410*t + 14
Let c = -9 - -12. Suppose 24*s - 6*s = 180. What is the third derivative of -14*w**2 - 18*w**c + s*w**3 + 13*w**3 - 7*w**2 wrt w?
30
What is the second derivative of 1712*n - 132*n**3 + 65*n - 1133*n - 7*n**2 - 35*n**3 + 2904*n wrt n?
-1002*n - 14
Let u(c) = c**2 + 7*c - 15. Let w = -5 + 9. Let v be u(w). What is the derivative of 16*n + 17*n - 33*n + 19*n**3 - v wrt n?
57*n**2
Let f(m) = 18*m**3 - 10*m**2 + 75*m + 15286. Let w(v) = 6*v**3 - 4*v**2 + 25*v + 5096. Let x(t) = -6*f(t) + 17*w(t). Differentiate x(o) wrt o.
-18*o**2 - 16*o - 25
Let l(x) be the second derivative of -13*x**4/4 + 5*x**3/3 - 21*x**2 + 82*x. Let n(c) be the first derivative of l(c). Differentiate n(w) with respect to w.
-78
Let s(d) = -d + 51. Let r(p) = -8187*p + 5884. Let a(n) = r(n) - 4*s(n). Differentiate a(m) wr