x**3 + q*x wrt x.
192
Find the second derivative of -678131*m**3 - 1626*m + 33*m**2 - 264*m + 678012*m**3 wrt m.
-714*m + 66
Differentiate -2*t**2 + 356*t**3 + 498 + 1695 + 313*t**3 wrt t.
2007*t**2 - 4*t
Let z(y) = 38*y - 1. Let p be 4 - (4 + 0 + -2). Let c be z(p). Find the second derivative of 18*s + 30*s**4 + 41*s**2 - c*s**2 + 34*s**2 wrt s.
360*s**2
Suppose -2*v = -5 + 1. Let a be 4*(-6)/(-18)*3/v. Find the first derivative of 24 + 2*g**a + 1 + 3 wrt g.
4*g
Let t(k) = 322*k**3 - 4787*k**2 + 3*k + 3. Let b(p) = -324*p**3 + 4788*p**2 - 4*p - 4. Let f(h) = 3*b(h) + 4*t(h). What is the third derivative of f(s) wrt s?
1896
Let h(c) = -187*c**3 - 8*c - 127. Let w(s) = 3*s + 255 - 12*s + 376*s**3 + 27*s. Let t(i) = 9*h(i) + 4*w(i). Differentiate t(d) wrt d.
-537*d**2
Let v(h) = h**2 + 7*h + 23. Let n be 159/(-15) - 9/(-15). Let f be v(n). What is the derivative of 3*l**2 - 44 - 18*l**4 - 3*l**2 + f wrt l?
-72*l**3
Let z(l) be the third derivative of 0*l**4 + 0*l**7 + 0*l**6 + 5*l**2 - 1/6*l**3 - 15/112*l**8 - 3/10*l**5 + 0 + 0*l. Find the third derivative of z(s) wrt s.
-2700*s**2
Let q(s) be the second derivative of -431*s**4/2 + 283*s**3/6 + s**2 + 19*s + 41. What is the second derivative of q(i) wrt i?
-5172
Let j(a) = -7*a**2 + 20*a - 301. Let v(n) = 56*n + 0*n**2 - 46*n - 149 - 4*n**2. Let y(q) = -6*j(q) + 11*v(q). Differentiate y(p) wrt p.
-4*p - 10
Let a(t) = t + 7*t - 6*t + t + 20. Let g be a(8). Find the second derivative of -15*k**5 + 16*k + 0*k**5 - g*k + k wrt k.
-300*k**3
Let w(o) be the first derivative of 2984*o**3/3 - 7577*o - 9200. What is the first derivative of w(g) wrt g?
5968*g
Let x = -11 - -13. Suppose -2 = -x*h + 4. Find the second derivative of h*r**4 + 11*r - 2*r**4 + 4*r**5 - r**4 wrt r.
80*r**3
Suppose 57 - 9 = 24*i. What is the third derivative of 46*n**2 + 191*n**5 + 21*n**2 + 0*n**2 - 115*n**i wrt n?
11460*n**2
Let o(j) be the third derivative of 1907*j**9/504 + 172*j**5/15 - 437*j**2 - 2*j. Find the third derivative of o(c) wrt c.
228840*c**3
Let f(q) = 2*q**3 + 2*q**2 + q + 2. Let a(n) = 40*n**3 - 994*n**2 + 17*n + 9903. Let o(w) = a(w) - 19*f(w). Find the first derivative of o(i) wrt i.
6*i**2 - 2064*i - 2
What is the second derivative of 33620*r**2 - 1737*r**5 - 33620*r**2 - 1260*r wrt r?
-34740*r**3
Let i(x) be the third derivative of x**5/30 + 127*x**4/4 + 466*x**3/3 + 1183*x**2. Differentiate i(u) wrt u.
4*u + 762
Let u(f) = 88 + 3*f**3 - 14*f - f**2 - 41 - 41. Let s(x) = 3*x**3 - x**2 - 13*x + 7. Let b(i) = -4*s(i) + 5*u(i). Find the second derivative of b(y) wrt y.
18*y - 2
What is the first derivative of -5338*f - 1906 + 428*f - 3941 - 6380 wrt f?
-4910
Let h(j) be the first derivative of 11*j**6/6 - 81*j**5/5 + 30*j**2 + 8*j + 2352. Find the second derivative of h(q) wrt q.
220*q**3 - 972*q**2
Suppose 8*b = 5 + 11. Suppose -5*d = m - b, 0 = -0*d + 4*d. What is the first derivative of -7*l**m + 8*l**2 + 4 - 8 - 11 wrt l?
2*l
Find the third derivative of -42*h**4 - 4*h**2 - 77*h**3 - 50*h + 12*h**4 + 81*h**3 wrt h.
-720*h + 24
Find the third derivative of 2512*s**4 + 5453*s**4 + 10281*s**2 - 696*s + 696*s - 2455*s**2 wrt s.
191160*s
Let v(p) = 294*p**3 + 13*p**2 - 27*p + 14. Let u(b) = -b**3 + 3*b**2 + 2*b - 1. Let k(q) = 42*u(q) + 3*v(q). Find the third derivative of k(y) wrt y.
5040
Let r(w) = 34*w**2 - 2*w + 4. Let u be r(2). Let j = u - -2234. Find the third derivative of -j*b**4 + 2385*b**4 - 6*b**2 + 20*b**2 wrt b.
360*b
Let b(p) be the third derivative of 6409*p**5/60 - 803*p**4/3 + 17*p**2 - 20*p. Find the second derivative of b(j) wrt j.
12818
Find the third derivative of -37512717 + 199*b**2 + 37512707 + b - 2522*b**3 - b wrt b.
-15132
Find the third derivative of -1656*c**2 - 55*c**3 - 793*c**2 - 169*c**3 + 88*c**2 + 65*c**3 wrt c.
-954
What is the second derivative of 10849*b**3 + 24*b - 58 - 4049*b**3 + b**2 - 5223*b**3 wrt b?
9462*b + 2
Let r(x) = -x**3 + 19*x**2 - 2*x - 2. Let p be r(19). Let o = -38 - p. Find the second derivative of -9*c**5 + 11*c**2 - 14*c + 4*c**o - 15*c**2 wrt c.
-180*c**3
What is the third derivative of -4*v**5 + 7175*v**2 - 8127*v**2 + 8*v**5 - 682*v**4 - 176*v**4 wrt v?
240*v**2 - 20592*v
Find the third derivative of 593*u**2 - 465*u**2 + 697*u**2 + 5*u**4 + 311*u**5 - 4*u**4 wrt u.
18660*u**2 + 24*u
Suppose 2*z - 9 = w, 0 = 2*z + 2*w + 2*w - 4. Suppose -z*v + 12 = -v. Find the second derivative of v*a**2 + 4*a - a**2 - 3*a + 12*a**2 wrt a.
30
Let r(k) = 38*k + 140. Let s be r(0). What is the third derivative of -27*l**2 + 3*l**3 - 69*l**2 + s*l**3 wrt l?
858
Find the second derivative of -2*f + 59*f**2 - 16 - 14*f**2 - 6*f**2 + 50*f**2 wrt f.
178
Find the second derivative of 7052*u**4 + 7049*u**4 - 5834*u - 3*u**3 + 13*u**2 - 14099*u**4 wrt u.
24*u**2 - 18*u + 26
Let z = 2305 + -2301. Let i(x) be the first derivative of 5*x**3 + 0*x**2 + 0*x**z - 13 - 4/5*x**5 + 0*x. Find the third derivative of i(w) wrt w.
-96*w
Let j(u) be the first derivative of 7*u**5/10 - u**4/4 + 57*u**2 + 23*u + 129. Let i(h) be the first derivative of j(h). Differentiate i(p) wrt p.
42*p**2 - 6*p
Let p(q) = q**3 - q - 3*q**3 + q**3 + 15 + 6*q**2 + 2*q**2. Let f be p(8). Differentiate 16 - 2*t**3 - 3*t**3 + 13*t**3 + f*t**3 with respect to t.
45*t**2
Let c(i) be the first derivative of -202*i**2 - 233*i - 898. What is the first derivative of c(z) wrt z?
-404
Suppose -4*l = -52 - 12. Differentiate l*y**2 - 75 - 2*y**3 - 16*y**2 with respect to y.
-6*y**2
Suppose 11 = 2*a + 1. What is the first derivative of 6*z**2 - 15*z**3 - 3*z**2 + a*z**3 - 10 + 23 wrt z?
-30*z**2 + 6*z
Let u(y) be the second derivative of 13/10*y**5 + 2*y**3 - 3*y**2 - 143*y + 1/30*y**6 + 0 + 0*y**4. What is the second derivative of u(p) wrt p?
12*p**2 + 156*p
Let u(o) = -o**3 - 18*o**2 - 13*o + 73. Let t be u(-17). Let b(r) = 35*r - 75. Let c(k) = k + 2. Let l(x) = t*c(x) + b(x). What is the derivative of l(w) wrt w?
40
Suppose -183 + 63 = -24*v. What is the derivative of -3*t - 4*t + 68 + 2*t + v + 7*t**2 + 0*t**2 wrt t?
14*t - 5
Suppose -38*p + 2088 = -20*p. What is the second derivative of 70*f + p*f**3 - 242*f**3 + 3*f**2 - f**2 + 115*f**3 wrt f?
-66*f + 4
Let a(h) = -3095*h**2 + 7*h - 5845. Let g(l) = 1545*l**2 - 4*l + 2923. Let x(w) = -6*a(w) - 11*g(w). Find the first derivative of x(d) wrt d.
3150*d + 2
Suppose -103*z + 440 = -899. Let u(x) = -x**3 - x**2 - x - 2. Let t be u(-2). What is the third derivative of -2*y**t - 22*y**2 + z*y**4 - 3*y + 3*y wrt y?
264*y
Let u be 4/(-9)*(-45)/10. Find the third derivative of 91*o**3 - 38*o**3 - 50*o**2 - 4*o**u wrt o.
318
Suppose -q - 5 = -7. Suppose 0 = j - r - 5 - 3, -16 = 3*j + 5*r. Find the third derivative of 8*v**2 - 29*v**3 + 7*v**j + 18*v**q wrt v.
-132
Let h(n) be the third derivative of -n**8/336 + 119*n**5/12 + 895*n**4/24 - n**3/3 + 161*n**2 - 1. What is the second derivative of h(p) wrt p?
-20*p**3 + 1190
Let u = 265 + -271. Let p(h) = -h**3 + 6*h**2 - 40*h + 94. Let s(w) = w**3 - 5*w**2 + 38*w - 93. Let b(o) = u*s(o) - 5*p(o). Differentiate b(r) wrt r.
-3*r**2 - 28
Suppose 0 = 15*x - 169*x. Let t(j) be the second derivative of x*j**2 + 17*j + 0 + 7/3*j**3 - 5/6*j**4. Find the second derivative of t(q) wrt q.
-20
Let g(h) = h**3 - 12*h**2 - 27*h - 11. Let q be g(14). What is the second derivative of -q*v**2 + v**2 - 19982*v**4 + 223*v + 20051*v**4 wrt v?
828*v**2 - 4
Let s(u) = u**3 + u + 1. Let r(g) = -1858*g**4 + 4*g**3 - 808*g**2 + 4*g + 4. Let w(v) = -r(v) + 4*s(v). Find the third derivative of w(f) wrt f.
44592*f
Let x(s) = -10*s - 56. Let r be x(-6). What is the first derivative of 105*v**r - 3853*v**2 + 3853*v**2 + 11*v**4 + 120 wrt v?
464*v**3
Find the third derivative of -473*i**4 - 47*i + 1281*i**4 + 1725*i**4 + 11*i**2 + 150*i**4 wrt i.
64392*i
What is the third derivative of -1453*y**3 - 2603*y**2 + 3*y + y**4 + 0*y**4 - 2 + 3307*y**2 wrt y?
24*y - 8718
Let a(c) be the second derivative of -3243*c**5/20 - 67*c**4/4 + 2*c**3/3 - 3387*c. What is the third derivative of a(q) wrt q?
-19458
Find the second derivative of 459*w**3 - 829*w**3 + 626*w**3 - 2*w**2 - 1233*w wrt w.
1536*w - 4
What is the first derivative of -11*h - 36*h + 107*h - 20*h + 45*h**2 - 24*h + 3252 wrt h?
90*h + 16
Suppose -3*c + 12 = 4*z, 14*z = 2*c + 9*z - 8. Find the third d