5*b**4 - 15*b**2 wrt b.
-48*b**3 - 24*b
Suppose 17*j + 16 = -32*j + 212. Let d be (21/9 + -1)*3. Find the third derivative of 4*q**j - 3*q**2 - 28*q**2 - 14*q**4 - 12*q**d wrt q.
-528*q
Let d = -171 - -189. Differentiate -26*y**4 - d - 117*y**3 + 117*y**3 + 2*y**4 wrt y.
-96*y**3
Let u(q) = -q**2 - 7*q + 20. Let v be u(-9). Find the third derivative of -9*c**5 + 7*c**5 + 8*c**3 + 45*c**v + 3*c**5 wrt c.
60*c**2 + 48
Let z(m) = 36049*m - 31293. Let t(q) = -9006*q + 7823. Let i(a) = 13*t(a) + 3*z(a). What is the derivative of i(r) wrt r?
-8931
Let c = 419 - 413. Differentiate -53 + c + 3*z - 20*z - 70 - 16 wrt z.
-17
Differentiate 5*m**4 - 2921*m + 1946*m - 3*m**4 + 419 with respect to m.
8*m**3 - 975
Let r(t) be the first derivative of -683*t**3/3 + 5*t**2/2 + 46*t + 1266. What is the second derivative of r(j) wrt j?
-1366
Suppose -12 = -2*z + 2*o, 0 = -o - 0 - 2. What is the second derivative of 2 + 7*m**3 - 13*m**3 - 25*m**3 - 22*m**3 - z*m wrt m?
-318*m
What is the second derivative of 696 + 4068*f**3 - 5*f - 2028*f**3 - 212 + 643*f**2 - 2043*f**3 wrt f?
-18*f + 1286
Let k be (33 - 14) + (5 - 1). What is the second derivative of 0*z**2 + 5*z**2 - 97*z - 2*z**2 + k*z wrt z?
6
Suppose 18 = -20*l + 21*l. Let m = 18 - l. What is the second derivative of 12*q + m*q**2 + q**2 + 2*q - 5*q**2 wrt q?
-8
Let j(d) = 1. Let f(s) = s**3 - 6*s**2 + 2*s + 12. Let c be f(6). Let a(m) = -c - 9*m - 22 + 52. Let t(x) = -a(x) - 5*j(x). Differentiate t(n) wrt n.
9
Let k(s) be the first derivative of -43*s**6/6 + 987*s**2/2 - s + 523. What is the second derivative of k(u) wrt u?
-860*u**3
Let r(m) = -6043*m**2 - 15870. Let h(o) = 6044*o**2 + 15879. Let w(u) = -4*h(u) - 5*r(u). What is the derivative of w(c) wrt c?
12078*c
Let v(q) be the third derivative of -43*q**6/360 - 11*q**4/8 - 53*q**3/6 + 2*q**2 + q. Let o(g) be the first derivative of v(g). Differentiate o(d) wrt d.
-86*d
Find the third derivative of -5230*r**3 - 16255*r**2 + 14367*r**2 - 2235*r**3 wrt r.
-44790
Suppose 0 = 23*p - 3709 + 995. Find the first derivative of -p + 1198*f - 1200*f - 3*f**2 + 23 wrt f.
-6*f - 2
Let h(s) = -6911*s**2 - 11*s - 5871. Let k(y) = 1383*y**2 + 2*y + 1174. Let t(i) = -4*h(i) - 22*k(i). What is the first derivative of t(a) wrt a?
-5564*a
Let z(i) = -142*i - 3. Let k be z(-1). Suppose k*t = 135*t + 40. What is the second derivative of -t*o**2 - 5*o - 5*o + 4*o + 43*o**2 wrt o?
66
Let p = 74 + -69. Suppose 3*g + 2*f - 12 + 3 = 0, -15 = -p*g - 4*f. Find the third derivative of 4*r - 7*r**2 - 249 + 49*r**g + 249 + 10*r**2 wrt r.
294
Let t(q) = 1252*q**3 - 25*q**2 + q - 1. Let d(s) = 1249*s**3 - 23*s**2 + 3*s - 2. Let c(o) = 2*d(o) - 3*t(o). What is the third derivative of c(z) wrt z?
-7548
Suppose 3*b - 86 + 80 = 0. Suppose -4*v = -3 - 1. What is the derivative of -11 + v + 3 + b*j wrt j?
2
Let j(t) be the third derivative of -1831*t**4/24 + 145*t**3/6 - 2147*t**2. What is the derivative of j(f) wrt f?
-1831
Suppose -4*l + 3*q = 19, 3*q + 15 = -4*l + 2*q. Let m = l + 6. Find the third derivative of 62 - 4*x**m + 15*x**4 - 62 wrt x.
360*x
Let x(a) be the second derivative of a**6/15 - 3*a**5/4 + 1141*a**3/6 + 1500*a + 1. Find the second derivative of x(c) wrt c.
24*c**2 - 90*c
Let s = 320 + -263. What is the second derivative of -t + 172*t**2 - 4*t - 11*t - s*t**2 wrt t?
230
Suppose 208*k = 189*k + 38. What is the second derivative of -11*n + n**5 + 20*n - 361*n**k - 96*n + 161*n**2 wrt n?
20*n**3 - 400
Let g(r) = 2033*r**3 + 24*r - 2613. Let l(v) = -v**3 + 6*v. Let s(i) = -g(i) + 4*l(i). What is the derivative of s(h) wrt h?
-6111*h**2
Let t(d) = d + 18. Let z be t(-14). Let p be (-3)/2*(-3 - -1). Find the second derivative of 5*i**4 + p*i + 3*i + 3*i**z wrt i.
96*i**2
Suppose 12*a - 11 = 11*a. Find the third derivative of -51*s**2 - 11*s + a*s - 11*s**4 wrt s.
-264*s
Let c(a) = 14*a**3 - 12*a**2 - 91*a - 924. Let r(i) = 14*i**3 - 14*i**2 - 97*i - 924. Let o(g) = 16*c(g) - 15*r(g). Differentiate o(t) wrt t.
42*t**2 + 36*t - 1
Let p = 397 + -386. What is the second derivative of 192*y**3 - 3*y - 204*y**3 + y + p*y**2 + 2*y + y - 40 wrt y?
-72*y + 22
Differentiate -592 - 550*c - 926 - 1247 + 2345*c wrt c.
1795
Let z = -7 + 9. Suppose -108 = -7*v - z*v. Differentiate -13 + v*r**2 + 3 - 34*r**2 with respect to r.
-44*r
Let b(n) = 72*n**2 - 5*n + 816. Let d(z) = 143*z**2 - 11*z + 1616. Let x(c) = -7*b(c) + 3*d(c). Differentiate x(g) wrt g.
-150*g + 2
Let k(q) = 2522*q - 10339. Let j(o) = 2482*o - 10344. Let f(y) = -6*j(y) + 7*k(y). What is the derivative of f(c) wrt c?
2762
Let v = -276 - -305. Find the second derivative of -3*c**2 - 5052*c - 1 + v*c**3 + 5057*c + 6*c**2 wrt c.
174*c + 6
Let r = 2 + 18. Let o be 400/24*27/15 - 5. Find the second derivative of -r*l**5 + 137*l**4 - 137*l**4 + o*l wrt l.
-400*l**3
Let q(y) = y**3 - 7*y**2 + 16*y - 16. Let i be q(6). What is the first derivative of -9*n**3 + i + 0 + 61 - 6*n wrt n?
-27*n**2 - 6
Let o(s) be the second derivative of 115/6*s**3 + 0 + 113/2*s**2 + 75*s. What is the derivative of o(n) wrt n?
115
Let a = -280 - -306. What is the third derivative of -a*y**4 + 17*y**2 + 40*y**2 - 34*y**4 - 16*y**2 wrt y?
-1440*y
Let g = 420 + -294. What is the second derivative of 8*z + 40*z**5 + g*z - 55*z wrt z?
800*z**3
Let p(c) be the second derivative of -6679*c**5/20 - 219*c**4/2 - c**2 - 7580*c. What is the third derivative of p(r) wrt r?
-40074
Suppose k = s - 2, 4*k = 30*s - 25*s - 10. Let i = -2 - -6. Find the first derivative of -53*o**4 + 90*o**4 - 53*o**i - s wrt o.
-64*o**3
Let l(u) = 232*u**3 + 4*u**2 + 3*u - 33. Let m(p) = -694*p**3 - 13*p**2 - 8*p + 101. Let c(q) = -8*l(q) - 3*m(q). What is the third derivative of c(f) wrt f?
1356
Suppose 7*h = 12*h - 10. What is the second derivative of -19*o - 12*o + 21*o - 2 + 38*o**h wrt o?
76
Find the third derivative of 3*v**2 + 13 + 266 + 332*v**6 - 8*v**2 - 3194*v**6 wrt v.
-343440*v**3
What is the second derivative of -196 - 158 + 355 + 2756*c**4 - 1407*c + c**3 - c**3 wrt c?
33072*c**2
Let s(f) = -74*f**3 + 33*f**2 + 36*f - 5101. Let t(k) = 112*k**3 - 51*k**2 - 57*k + 7651. Let r(d) = 8*s(d) + 5*t(d). Find the first derivative of r(o) wrt o.
-96*o**2 + 18*o + 3
What is the derivative of -101686 - 9334*g**2 - 3641*g**2 + 115873 wrt g?
-25950*g
Let x(a) be the second derivative of -2804*a**6/15 + 4*a**4/3 - 17*a**3/6 - a**2 - 4351*a. Find the third derivative of x(y) wrt y.
-134592*y
Let r(z) = 6*z + 1075. Let s(g) = -g + 4. Let q(w) = -r(w) - 3*s(w). Differentiate q(c) with respect to c.
-3
Differentiate 1191857*y - y**4 - 1267*y**2 - 1191857*y + 4777 wrt y.
-4*y**3 - 2534*y
Let c = 118 - 107. Suppose -2*z = -27 - c. Find the second derivative of -14*b - 8*b - z*b**4 + 31*b**4 wrt b.
144*b**2
Find the first derivative of 1394*n + 1788*n + 936*n - 384*n - 412*n - 2203 wrt n.
3322
Let l = 139 + -135. Find the second derivative of -2*z - 33*z + 11*z**l - 53*z**4 - 19*z**4 wrt z.
-732*z**2
Let q(f) be the second derivative of -2 + 1/20*f**5 - 67*f + 0*f**2 + 211/6*f**3 - 5/4*f**4. Find the second derivative of q(v) wrt v.
6*v - 30
Let t(w) = 4*w - 32. Let c be t(8). Suppose -2*d + 3*k + 74 = 0, 4*d + c*d = 2*k + 140. Find the first derivative of 17*q + d + 4*q**3 - 17*q wrt q.
12*q**2
Suppose 0 = -3*w + i + 5, w = -i + 7. Find the second derivative of 1 + 2*j**w + 4*j + 3*j**3 - 6*j**3 wrt j.
-6*j
Find the first derivative of 1870*m + 518 + 2769*m - 11565 + 2796*m wrt m.
7435
Let o(u) = u**3 - u. Let r(m) = -238*m**3 + 4*m**2 - m + 86. Let a(w) = -o(w) + r(w). What is the derivative of a(y) wrt y?
-717*y**2 + 8*y
Differentiate 5*r - 228*r**3 + 340*r**3 - 222*r**3 - 949 with respect to r.
-330*r**2 + 5
Suppose -65*a + 27 = -56*a. What is the derivative of -34*m**3 + 71*m**a - 36*m**3 + 32 - 9*m**2 wrt m?
3*m**2 - 18*m
Let n(s) = s**3 - 5*s**2 - 8*s + 15. Let r be n(6). Suppose 4 = 5*p - 6*p + r*v, -p + 8 = 3*v. Differentiate 29*o**4 - 2 - 4 + p*o**4 - 5*o**4 wrt o.
104*o**3
Let q be 9 + 23 + (-1)/(1/4). Let v be 3*(q/33 + (-4)/22). What is the third derivative of -30*i**4 + 27*i**4 + 30*i**v + 4*i**4 + 23*i**4 wrt i?
576*i
Let p(m) = 22*m + 18. Let q(l) = -10*l - 9. Let i(k) = -2*p(k) - 5*q(k). Let h be i(17). Find the third derivative of -7*v**3 + h + 14*v**2 - 111 wrt v.
-42
Let f