 - 18, -i*d + 3 = -17. Find the second derivative of -5*t + 20*t - 10*t**2 + 11*t**z wrt t.
2
Let w(m) = m**2 + 3. Let z be w(2). Suppose -12*n + z*n + 45 = 0. What is the second derivative of i**4 - 28*i**5 + n*i**5 + 7*i - i**4 wrt i?
-380*i**3
Differentiate -1190 - 1943*u + 1943*u - 823*u**4 wrt u.
-3292*u**3
Let n(i) be the second derivative of -i**7/21 + 13*i**5/4 + 1121*i**4/6 - 2469*i. Find the third derivative of n(p) wrt p.
-120*p**2 + 390
Let y(c) = 271*c**2 + 8*c - 1429. Let s(t) = -406*t**2 - 12*t + 2143. Let v(z) = 5*s(z) + 7*y(z). Differentiate v(l) with respect to l.
-266*l - 4
Let f(m) = -m**2 + 27*m - 62. Let t be f(6). Differentiate 69*w - 58 + t*w - 13*w + 166 wrt w.
120
Let n(l) = -l**3 + 6*l**2 + l. Let v(h) = 1799*h**5 + 4*h**3 - 24*h**2 - 3*h. Let o(a) = 4*n(a) + v(a). What is the second derivative of o(m) wrt m?
35980*m**3
Let u(r) be the second derivative of -369*r**8/7 + r**7/42 - r**4/6 - 387*r**2 + 2999*r. What is the third derivative of u(n) wrt n?
-354240*n**3 + 60*n**2
Differentiate -147*r + 3*r - 63*r + 2980 + 48*r + 8*r with respect to r.
-151
Let z be 8/36 + (-32)/(-18). Differentiate -34*m**2 - 46*m**2 + 4*m**z + 156 - 54*m**2 with respect to m.
-260*m
Differentiate 6569*x + 130*x**2 + 395*x**2 + 159 - 3283*x - 3286*x wrt x.
1050*x
Suppose 6*g + 231 = -5*g. Let z be (-28)/g*(0 - (-6)/4). Find the third derivative of 2*a**3 + 55*a**5 - 16*a**z - 53*a**5 - 2*a**3 wrt a.
120*a**2
Let t be 3*(-8)/132*-11. Let p(r) be the first derivative of 0*r**4 - 1 + 7/2*r**t + 0*r**3 + 0*r - 14/5*r**5. What is the second derivative of p(f) wrt f?
-168*f**2
Let p = -23 - -31. Suppose -3*b + 22 = p*b. Find the second derivative of -7*q**2 + 12*q + 12*q - 46*q - 19*q**b wrt q.
-52
Let z(n) be the second derivative of 355*n**4/12 - 265*n**2/2 - 788*n. Differentiate z(u) wrt u.
710*u
Let d(s) = 3*s**2 - 3*s. Let a be d(2). Let y = 755 - 732. What is the third derivative of -15*k**2 - 13*k**6 + 6*k**6 + y*k**a wrt k?
1920*k**3
Suppose -2*x - 41 = 5*v, -3*x = -4*v - 0*x - 19. Let l = -2 - v. What is the second derivative of 0*p**5 - 15*p - 12*p**l + 8*p**4 - 8*p**4 wrt p?
-240*p**3
Let v(u) be the third derivative of -369*u**7/70 - 1961*u**3/2 - 402*u**2 - 2*u. Differentiate v(h) wrt h.
-4428*h**3
Let v(l) be the third derivative of -7519*l**4/24 - 3377*l**3/3 - 7196*l**2. Find the first derivative of v(c) wrt c.
-7519
Suppose 18*p = -72 - 36. Let x(o) = -95*o**5 + 6*o**3 - 99*o - 6. Let c(v) = v**3 - 1. Let g(u) = p*c(u) + x(u). What is the second derivative of g(r) wrt r?
-1900*r**3
Let x(b) be the third derivative of 1287*b**5/10 - 9833*b**4/24 + 3*b**2 - 2969*b + 1. What is the second derivative of x(j) wrt j?
15444
What is the third derivative of 80 + 72*a**3 - 80 - 226*a**2 + 8*a**2 - 403*a**3 wrt a?
-1986
Let m(r) = 5*r**3 - r**2 - r. Let f(o) = -275*o**3 + 5*o**2 + 20*o - 13. Let c(z) = -f(z) - 5*m(z). What is the second derivative of c(s) wrt s?
1500*s
Let y(o) = -2*o**2 + o + 1. Let a be y(0). Let j be -3*a/(-2)*(-8)/(-6). Find the third derivative of 87*t**4 - 44*t**4 + j*t**2 - 39*t**4 wrt t.
96*t
Let m(x) = -x**2. Suppose 3*c = 3*n + 18, -3*n + 60 - 74 = c. Let l(z) = 7*z**2 + 3 - 2 - 7. Let y(b) = c*l(b) + 2*m(b). Differentiate y(w) with respect to w.
10*w
Suppose 0 = -29*v + 25*v + 12. What is the second derivative of 2*c**v + 2*c - 24*c**4 - 75*c**4 - 10*c + 12*c wrt c?
-1188*c**2 + 12*c
Find the second derivative of -2052*y + 1044*y**3 - 38*y**4 - 721*y + 40*y**4 wrt y.
24*y**2 + 6264*y
Suppose -2*y + s = -7 - 19, -3*y + 29 = -4*s. Suppose 4*g + 0*i - 26 = -2*i, 2*g - y = -3*i. Differentiate -o**4 + g - 2 - 5 + 22 with respect to o.
-4*o**3
Let q(n) = n**2 + 11*n - 22. Let h = 1 + -14. Let k be q(h). Find the third derivative of 8*d**4 - 10*d**2 - 8*d**4 - k*d**6 wrt d.
-480*d**3
Let t(z) be the second derivative of 1096*z**3/3 - 979*z**2/2 + 1740*z. What is the first derivative of t(r) wrt r?
2192
Let s(r) be the second derivative of -111/20*r**5 + 0*r**4 + 35/2*r**2 - 1/6*r**3 + 0 - 184*r. Differentiate s(m) with respect to m.
-333*m**2 - 1
Find the third derivative of -638*h**5 + 3*h + 3*h**3 - 3*h**3 + 19026*h**2 - 19225*h**2 wrt h.
-38280*h**2
Suppose 0*a - x + 5 = -a, 9 = -a + 3*x. Let y(c) = -c**3 - 2*c**2 - 3*c - 2. Let t be y(a). What is the second derivative of 38*z - 18*z**2 - 5*z - t*z wrt z?
-36
Let s(p) = 3782*p**3 - 1312*p**2 + 6*p - 9. Let k(z) = z**3 - 3*z**2 + 2*z - 3. Let b(y) = -3*k(y) + s(y). What is the third derivative of b(l) wrt l?
22674
Let n(l) be the first derivative of 0*l**4 + 0*l**6 - 32/7*l**7 + 0*l + 0*l**2 - 86/3*l**3 + 53 + 0*l**5. Find the third derivative of n(x) wrt x.
-3840*x**3
Let i(a) be the second derivative of -397*a**3/6 - 553*a**2/2 + 271*a. What is the derivative of i(n) wrt n?
-397
Let f(g) be the second derivative of -385*g**4/3 + 687*g**3/2 + 2643*g. What is the second derivative of f(l) wrt l?
-3080
Let c be ((-5)/4 - -1) + 10/8. Let q be (-5 + 0)*-1 - (c + 0). Differentiate -69 + q*u**4 + 13*u**4 + 83 wrt u.
68*u**3
Find the second derivative of 153 + 13*c - 298 - 495*c + 599*c**4 + 146 wrt c.
7188*c**2
Let f(o) be the first derivative of 471*o**2/2 + 1540*o + 1281. Differentiate f(a) wrt a.
471
Suppose -p - 8 = -4*q, -2*q - p = -3 + 5. Let b(v) = 1. Let n(m) = -20*m**2 + 100. Let k(o) = q*n(o) - 6*b(o). What is the derivative of k(h) wrt h?
-40*h
Let i be -2*-39*7/(-6). Let s = i + 93. Find the first derivative of -8 + 34 - 3*u**s + u**2 - 6*u**2 wrt u.
-16*u
Let z(i) = 57*i**2 + 10*i + 6. Let b(u) = -58*u**2 - 9*u - 5. Let f = 117 - 122. Let m(s) = f*b(s) - 4*z(s). What is the second derivative of m(n) wrt n?
124
Suppose -2*w - 10 = l, -3*l - 5*w - 24 = -2*w. Let t be (2 - (l - -2)) + -3 + 0. What is the derivative of 5*d - 9*d - t + 7*d - 17 wrt d?
3
Let f(g) be the second derivative of -2115*g**4/4 + 1835*g**3/2 + 5*g + 53. What is the second derivative of f(r) wrt r?
-12690
Find the third derivative of -12 - 8*i**4 + 12 + 314*i**5 - 7*i + 41*i**2 - 299*i**5 wrt i.
900*i**2 - 192*i
Let d(z) = -3*z**2 + 69*z + 7. Let q be d(23). What is the derivative of -q - 22 - 28*l**2 + 6*l**2 + l - 30 wrt l?
-44*l + 1
Let q(b) = b**3 + 5*b**2 - 15*b - 7. Let c be q(-7). What is the second derivative of c*t**4 - 3*t**4 + 62*t**5 + 103*t - 34*t + 3*t**4 wrt t?
1240*t**3
Suppose -3*n - 276 = -9*n. Let l = n - 44. What is the second derivative of -8*b**2 - 2*b**l - 7*b**2 - 6*b wrt b?
-34
Let r(s) be the first derivative of 735*s**5 + s**3/3 + 111*s**2/2 + 2469. What is the third derivative of r(x) wrt x?
88200*x
Let s(q) = 7*q + 142. Let n be s(-20). Find the second derivative of -55*o + o + 220*o**n + o + 2 wrt o.
440
Let o(u) be the third derivative of 653*u**4/6 - 3097*u**3/6 + 13*u**2 - u - 2. Differentiate o(s) wrt s.
2612
Let m(t) = -75*t**2 + 2*t + 6. Let n(o) = 11*o. Let s(u) = 8*u. Let i(c) = 5*n(c) - 7*s(c). Let j(g) = -2*i(g) - m(g). What is the derivative of j(f) wrt f?
150*f
Find the third derivative of 5*f**4 + 757*f**2 - 459*f**6 + 8875*f + 3248*f**2 - 8875*f wrt f.
-55080*f**3 + 120*f
Let d(m) = 80*m**3 - 5*m**2 + 15*m - 7. Let s(p) = 241*p**3 - 16*p**2 + 40*p - 20. Let x(q) = 8*d(q) - 3*s(q). Find the third derivative of x(z) wrt z.
-498
Let b = 168 - 93. What is the third derivative of b*n**3 + 3 - 2*n**2 - 1 - 30*n**3 wrt n?
270
Let x(q) = 19*q - 169. Let z be x(9). What is the second derivative of 10*c**5 + 5 - 6 + 1 + 11*c - z*c**4 + 5*c**5 wrt c?
300*c**3 - 24*c**2
Let s(a) be the first derivative of 1813*a**3/3 + 3752*a + 4510. Differentiate s(d) wrt d.
3626*d
Find the second derivative of -v**3 - 851*v**4 - 512*v**4 + 2327*v + 1586*v - 2582*v wrt v.
-16356*v**2 - 6*v
What is the third derivative of 21*s**5 - 477*s**2 - 22 - 29*s**4 + s**3 + 478*s**2 - 83 + 26*s**5 wrt s?
2820*s**2 - 696*s + 6
Let h be (0 + -2 + 4)*(-2)/(-2). Find the third derivative of 3*g**4 + 2*g + 12*g**h + 984 - 984 wrt g.
72*g
Let r(t) be the second derivative of -654*t**5/5 + t**4/6 - t**3/3 - 180*t**2 - 1635*t. What is the second derivative of r(k) wrt k?
-15696*k + 4
Let w(g) be the third derivative of -g**7/420 - 19*g**6/180 - g**5/5 + 28*g**2. Let a(n) be the third derivative of w(n). What is the derivative of a(i) wrt i?
-12
What is the derivative of -2802*o**4 - 6328 +