33*y**3/3 + 2022. What is the third derivative of i(v) wrt v?
47160*v**2
Let g = -9388/5 - -1878. Let i(p) be the second derivative of 0*p**5 - 14*p - g*p**6 + 0 + 1/12*p**4 + 0*p**2 + 0*p**3. Find the third derivative of i(c) wrt c.
-288*c
What is the second derivative of 32*y + 55*y**5 - 18*y**5 - 228*y - 294110*y**4 + 294116*y**4 wrt y?
740*y**3 + 72*y**2
Let c(d) be the first derivative of 1577*d**4/2 - 892*d**3/3 + 2713. What is the third derivative of c(v) wrt v?
18924
Let c(w) = 3*w**3 + w**2 - 73*w. Let q(p) be the first derivative of -p**4/2 - p**2/2 - 64. Let u(m) = c(m) + 4*q(m). Find the second derivative of u(j) wrt j.
-30*j + 2
Let f(p) = -6*p + 17. Let u be f(-7). Find the second derivative of -6*g - 32*g - u*g**4 - 32*g wrt g.
-708*g**2
Let o(n) be the first derivative of -151 + 0*n + 0*n**2 + 30*n**4 - 154/3*n**3. Find the third derivative of o(m) wrt m.
720
Let n be (-1788)/33 + (-2)/(-11). Let r be ((-12)/n - (-187)/9) + -4. Find the second derivative of -6*u + u**3 - r*u + 0*u - 2*u wrt u.
6*u
Let y(n) = 1307*n**3 - 10*n**2 + 5*n - 55. Let w(c) = 1306*c**3 - 12*c**2 + 6*c - 63. Let u(h) = -5*w(h) + 6*y(h). What is the derivative of u(b) wrt b?
3936*b**2
Suppose -10*r + 20 + 0 = 0. Suppose 0 = -f + r*f - 16. Find the second derivative of -f*n - 10*n + 11*n - 6*n**3 wrt n.
-36*n
Let v(s) = s**2 - 25*s + 139. Let f be v(6). What is the second derivative of 0*d**3 + 18*d + f*d**4 - 1 - 1 - d**3 - 10*d + 18*d**4 wrt d?
516*d**2 - 6*d
Suppose -4*u = -4*z + 4, -z - u = -6*u + 3. Differentiate -116*p**2 - 2*p + 65*p**z + 50*p**2 + 233 with respect to p.
-2*p - 2
Let k(i) = -i**2 - 4*i + 3. Let n be k(-4). Let p be 160/28 + 10/35. Find the first derivative of 23 - 2 + 9*u**n + p wrt u.
27*u**2
Find the third derivative of 915*l**2 + 42*l**5 - 429*l**2 + 9*l**4 - 471*l**2 wrt l.
2520*l**2 + 216*l
Suppose 22*y = -35*y - 23*y + 17*y. Let m(c) be the first derivative of 0*c**2 - 26*c + 37 + y*c**3 - 47/5*c**5 + 0*c**4. Differentiate m(o) wrt o.
-188*o**3
Suppose 12 = 2*c - 4*c - 5*q, -3*c + q - 52 = 0. Let k = 19 + c. What is the third derivative of 3*n**k + 11*n**2 + 3*n**4 - 51*n**2 - 7*n**3 + 6*n**3 wrt n?
72*n + 12
Let y(b) = b**3 - 3*b - 4. Let i(l) = 1094*l**3 + 361*l - 4. Let m(z) = i(z) - y(z). What is the second derivative of m(s) wrt s?
6558*s
What is the third derivative of 11 - 47562*x**2 - 6283*x**3 + 22*x + 23789*x**2 + 23776*x**2 wrt x?
-37698
Suppose -2*f + 10 = -2*j, 3*f - 4*j = 5*f + 2. Let r = 17 + 0. What is the second derivative of -r*d**2 + 3 - f - 11*d + d**2 wrt d?
-32
Find the third derivative of -1243*z + 414*z - 1 + 2152*z**4 + 411*z - 1498*z**2 + 417*z wrt z.
51648*z
Let t be (42/18)/(1/9). What is the derivative of -31*w - 11 + 26 - t*w + 35 wrt w?
-52
Suppose 0*r = -4*r + 28. Let u = 10 - r. Find the second derivative of -3*n + 3*n**u + 4 - 3*n - 4 wrt n.
18*n
Let d = -94 - -97. Find the third derivative of 10*a**2 + 14*a**4 - a**d - 51*a**4 + a**3 wrt a.
-888*a
Let x(h) = -h**4 + 2*h**3 + 3*h**2 - h. Let t(b) = 4*b**4 - 10*b**3 - 15*b**2 - 12*b - 808. Let f(p) = 2*t(p) + 10*x(p). Differentiate f(d) wrt d.
-8*d**3 - 34
Find the first derivative of -171 + 119 - 943 - 1868 - 2483*h**2 + 117 wrt h.
-4966*h
Let l(g) be the first derivative of -3/2*g**4 + 0*g**2 + 14 - 3*g**3 + 2*g. Let z(o) be the first derivative of l(o). Find the second derivative of z(q) wrt q.
-36
Let y = 0 - -24. Let f be ((-1)/(-2))/(4/y). Differentiate 3 + 11 - f*k**3 - 11 + 2*k**3 with respect to k.
-3*k**2
Find the third derivative of -3767*v**3 + 683*v - 58*v**2 + 173*v**2 - 59*v**2 - 61*v**2 - 3664*v**3 wrt v.
-44586
Let r(g) = -7*g - 9. Let b be r(-11). Let q = -57 + b. What is the second derivative of h**3 + h**3 + 14*h**3 + q*h wrt h?
96*h
Let c(u) be the first derivative of 32*u - 66 - 63*u - 67*u + 71*u**2 - 11*u. What is the derivative of c(y) wrt y?
142
Suppose 4*c - 28 = -5*n, 2*c + n + 14 = 22. Let s(i) be the second derivative of 34*i + 0 + 19/6*i**3 + 18*i**c. What is the first derivative of s(w) wrt w?
19
Differentiate 725 + 1365*f - 177*f + 1253*f with respect to f.
2441
Let k(f) = -1336*f**3 - 2*f**2 + 7*f - 95. Let n(x) = -x**3 - 2*x**2 + 2*x. Let u(b) = k(b) - 3*n(b). What is the third derivative of u(p) wrt p?
-7998
Let q(o) be the second derivative of -143*o**6/5 + o**4/4 - 29*o**3/2 - 16*o. Find the third derivative of q(n) wrt n.
-20592*n
Let w(r) be the first derivative of -1187*r**5/5 - r**4/2 - 46*r**3/3 - 46*r**2 - 1772. What is the third derivative of w(m) wrt m?
-28488*m - 12
Let m = -645/11 + 19427/330. Let h(i) be the third derivative of m*i**5 + 0 - 11*i**2 + 8/3*i**3 + 0*i + 0*i**4. What is the derivative of h(b) wrt b?
28*b
What is the second derivative of 6*g**3 - 30*g + 137*g**3 + 3 + 46*g**3 + 0*g**5 - g**5 wrt g?
-20*g**3 + 1134*g
Let h(i) be the first derivative of -30*i + 63/4*i**4 + 0*i**2 - 56 + 0*i**3. What is the derivative of h(g) wrt g?
189*g**2
Let v(x) = -x**2 + 20*x. Let o be v(20). Suppose 0 = -2*y + 4, 3*q - 5*y - 31 - 94 = o. Find the third derivative of -2*c**2 + 20*c**6 + 7*c**6 - q*c**6 wrt c.
-2160*c**3
Let g(o) be the second derivative of 292*o**4/3 - 123*o**2/2 - 1765*o. Differentiate g(h) wrt h.
2336*h
Let v(s) = -1310*s**4 - 7069*s**2 + 17. Let c(j) = -437*j**4 - 2357*j**2 + 6. Let n(h) = -17*c(h) + 6*v(h). Find the third derivative of n(g) wrt g.
-10344*g
Let b(x) = -1547*x**4 + 2*x**2 + 4*x + 9. Let s(o) = 1552*o**4 - 3*o**2 - 6*o - 9. Let w(q) = 3*b(q) + 2*s(q). Differentiate w(g) with respect to g.
-6148*g**3
Let t(o) = 0*o - 7 + 16*o - 36 - 5*o. Let g(y) = -y**2 + 12*y - 41. Let r(d) = -3*g(d) + 4*t(d). What is the derivative of r(v) wrt v?
6*v + 8
Let w(r) be the second derivative of 1/2*r**2 - 43*r + 6*r**3 - 3/20*r**5 - 29/6*r**4 - 2. Find the second derivative of w(u) wrt u.
-18*u - 116
What is the third derivative of -1184*v**3 + 17030 + v**4 + 17032 - 69*v - 34061 + v**2 wrt v?
24*v - 7104
What is the second derivative of -653*v + 3*v**2 + 130899*v**3 + 48*v**5 - 130900*v**3 + 3848*v wrt v?
960*v**3 - 6*v + 6
Let t be (2 - -1)/((-24)/(-128)*4). Find the second derivative of 2*o - 15 + o**3 - 1 + 0*o**4 - 3*o - 4*o**t wrt o.
-48*o**2 + 6*o
Let i(k) be the third derivative of -40*k**9/9 - 1999*k**5/60 + 414*k**2 - 2*k. What is the third derivative of i(f) wrt f?
-268800*f**3
Suppose 0 = -9*u + 253 - 226. Let p(m) be the first derivative of 0*m**2 + u + 13/3*m**3 + 16*m. Find the first derivative of p(d) wrt d.
26*d
Find the second derivative of -366*t + 521*t + 1311*t - 2*t + 615*t + 3739*t**2 wrt t.
7478
Suppose 8*f - 50 = -2*f. Let y(k) = k**2 + 1. Let a be y(f). Differentiate 31 + a*m**2 - 5*m + 9*m - 4*m with respect to m.
52*m
Let z be 8/(-3)*(30/(-8) - -3). Find the third derivative of 11*u + 6*u - 17*u + 50*u**z + 161*u**3 wrt u.
966
Let y(p) = -p + 8. Let q(x) = -x + 4. Let h(j) = 5*q(j) - 3*y(j). Let d be h(-3). What is the second derivative of -16*z**d - z - 7*z**2 - 18*z - 5*z wrt z?
-46
What is the second derivative of -2255*f**4 + f - 2490*f**4 + 10654 - 907*f**4 - 1627 wrt f?
-67824*f**2
Suppose -8*g + 3*g = 270. Let d = g + 57. Find the first derivative of -2 - 13 + 407*h**d - 396*h**3 wrt h.
33*h**2
Let i(h) be the second derivative of 0*h**2 - 5*h**5 + 0*h**4 + 46/3*h**3 + 2 - 20*h. What is the second derivative of i(z) wrt z?
-600*z
Let o(z) = -z**3 - 13*z**2 + 14*z + 4. Let d be o(-14). Find the third derivative of -15*l**3 - 28*l**3 - l**6 - 25*l**3 + d*l**2 - 9 wrt l.
-120*l**3 - 408
Let w(c) = 7074*c**2 + 10063*c. Let n(j) = 10611*j**2 + 15088*j. Let d(b) = 5*n(b) - 7*w(b). What is the second derivative of d(t) wrt t?
7074
Suppose 4*n - 36 = -8*n. Suppose -8*t + 13 + n = 0. Find the second derivative of 9*k**2 + t*k + 2*k**2 + 5*k**2 - 24*k**2 wrt k.
-16
Let k(v) be the third derivative of 1552*v**7/105 - 767*v**5/4 - 57*v**2 - 72. Find the third derivative of k(b) wrt b.
74496*b
Let r(y) be the third derivative of -y**8/168 - y**7/105 + 19*y**5/6 - 13*y**4/24 - 16*y**3/3 - 3*y**2 - 531*y + 2. What is the second derivative of r(h) wrt h?
-40*h**3 - 24*h**2 + 380
Let v(r) = 5677*r**3 + 30*r**2 + 320*r + 16. Let b(o) = 5676*o**3 + 20*o**2 + 321*o + 14. Let g(n) = -3*b(n) + 2*v(n). Find the second derivative of g(k) wrt k.
-34044*k
Suppose -5*r 