. Find the third derivative of -168*i**2 - 6*i**6 - 13*i**3 + 13*i**3 - 10*i**x - 11*i**2 + 25*i**6 wrt i.
2280*i**3 - 240*i
Let v(z) be the second derivative of 401*z**4/12 - z**3/6 + 87*z**2/2 - 3*z + 16. Differentiate v(l) with respect to l.
802*l - 1
Let r(a) = -15 - 82*a + 38*a + 22 + 32. Let q(v) = -134*v + 116. Let p(x) = 6*q(x) - 20*r(x). Differentiate p(l) wrt l.
76
Let x be (-4)/3*(-30)/20. What is the third derivative of 237*f**3 - 47*f**3 - 1014*f**2 + 1149*f**x wrt f?
1140
Suppose 0 = 3*b + 2*q - 7, -9*b - q = -8*b - 2. Find the third derivative of -18*r**3 + 10*r**2 - 56*r**b - 31*r**3 - 124*r**2 wrt r.
-630
Let j(h) be the first derivative of 0*h**4 + 0*h**6 + 94/7*h**7 - 151/3*h**3 + 0*h**2 - 218 + 0*h + 0*h**5. What is the third derivative of j(w) wrt w?
11280*w**3
Let t be 92*(1 + 7/(-4)). Let h = t + 84. What is the second derivative of -9 + h*s + 11 - 2 - 16*s**2 wrt s?
-32
Differentiate 506 + 3252*l + 2399*l + 1945 - 142 - 1802*l with respect to l.
3849
Let q(f) = f**3 - f**2 - 9*f + 5. Let w be q(0). What is the third derivative of -6*g**5 + 3*g**3 - 27*g**2 + 9 + 23*g**2 + 2*g**w wrt g?
-240*g**2 + 18
Let h(q) = 0*q**2 - 4*q + 6*q**2 + 0*q**2 + 1. Let m be h(2). Find the second derivative of -10*d**4 - 353 - m*d + 353 wrt d.
-120*d**2
Let i(u) = -57*u - 9. Let r(c) = 2*c - 9. Let k(x) = x - 5. Let g(z) = -7*k(z) + 4*r(z). Let q(a) = -18*g(a) - i(a). Differentiate q(n) wrt n.
39
Let j(x) = 986*x**4 + 5*x**3 - 5*x + 1089. Let i(f) = -987*f**4 - 4*f**3 + 4*f - 1088. Let s(k) = -5*i(k) - 4*j(k). Differentiate s(p) wrt p.
3964*p**3
Suppose 2*c - 112 = -14*c. What is the derivative of -5 - 4*b + c*b + 34 + 16*b**3 + 8 wrt b?
48*b**2 + 3
What is the derivative of 258 - 695*m**2 + 599*m**2 + 1192*m**2 wrt m?
2192*m
Suppose 3*o - s - 1 = -2, 5*o + 3*s = 3. Suppose j - 18 = -3*l - 5, o = -3*j - 4*l + 39. What is the first derivative of 49*k**3 - 4 - j*k**3 - 8 - 2 wrt k?
108*k**2
Let y be (33/22)/(15/20). Find the first derivative of -90*c**2 + 251*c**y + 53 + 4*c**2 - c wrt c.
330*c - 1
Let d(q) = -121*q**3 - 2*q**2 + 11. Let x be d(-3). What is the third derivative of x*v**6 + 10*v**4 - 10*v**4 - 3141*v**6 + 95*v**2 wrt v?
14280*v**3
Find the first derivative of 156740 - 157927 + 304*d + 1403*d wrt d.
1707
Let w(p) be the first derivative of 38*p + 107/2*p**2 + 1/3*p**3 - 131. What is the first derivative of w(f) wrt f?
2*f + 107
Find the second derivative of -314*j**3 + 168621*j + 55*j**3 + 3*j**5 - 1 - 168535*j wrt j.
60*j**3 - 1554*j
Suppose 75 = 5*y + 10*y. What is the second derivative of -14 - 807*h - 24*h**3 - 38*h**3 + 809*h - y*h**3 wrt h?
-402*h
Let q(w) = 63*w - 55. Suppose -3*u = -6*u - 12, -4*l - 2*u = 12. Let c(b) = 2*b + 1. Let v(n) = l*q(n) - 4*c(n). What is the first derivative of v(p) wrt p?
-71
Let y(s) = s**2 + 6*s - 14. Let j be y(-8). Let m be 7 - (j/(-2) - -5). What is the third derivative of -68*r**4 + 26*r**4 + 7*r**2 + m*r**2 wrt r?
-1008*r
Let u(b) be the third derivative of 1417*b**5/20 + 329*b**4/2 + 8236*b**2. What is the second derivative of u(x) wrt x?
8502
What is the third derivative of 26*o**2 + 25*o - 259*o**3 + 3285*o**3 - 14*o**2 + 52*o wrt o?
18156
Let a(o) = 1004*o**2 - 958*o + 9. Let v(f) = 6024*f**2 - 5752*f + 56. Let h(y) = -25*a(y) + 4*v(y). What is the second derivative of h(n) wrt n?
-2008
Suppose -6*g + 2 = -7*g, 4 = 2*q + 4*g. Find the third derivative of 1485*x**5 - 1485*x**5 - 83*x**2 - 86*x**q wrt x.
-10320*x**3
Let c(v) = 3864*v**2 - 2649*v - 55. Let t(i) = -5795*i**2 + 3973*i + 77. Let f(s) = 7*c(s) + 5*t(s). What is the second derivative of f(u) wrt u?
-3854
Let v(g) be the second derivative of -332*g**5/5 + 5*g**3/6 - 115*g**2 - 19*g - 42. What is the second derivative of v(y) wrt y?
-7968*y
Let c be (-5838)/(-105) + 2/5. Find the first derivative of 548*u**3 + 550*u**3 - 1105*u**3 + c wrt u.
-21*u**2
Find the first derivative of 927*f + 2130*f - 3309 + 2129*f + 2065 - 4063 wrt f.
5186
What is the second derivative of 6*y - 33 + 5913*y**2 - 37*y + 45*y + 3642*y**2 wrt y?
19110
Let x(y) = -779*y**3 - 5*y**2 + 14*y - 2684. Let r(i) = -390*i**3 - 3*i**2 + 8*i - 1340. Let n(k) = 5*r(k) - 3*x(k). Differentiate n(b) with respect to b.
1161*b**2 - 2
Let t = -409 + 662. Suppose 2*n - 5*h - t = 0, 2*n = 4*n - 3*h - 259. Differentiate -8 + s + n*s**3 - s - 158*s**3 with respect to s.
-72*s**2
Let m be -5 + -4*1/(4/(-7)). Find the second derivative of -17 + 123*r**2 + 3 - m*r + 24 wrt r.
246
Let i(b) be the first derivative of -1728*b**5/5 + 2*b**3 + 5*b**2/2 + 2*b + 3907. Find the third derivative of i(r) wrt r.
-41472*r
Let g = -3540 + 3542. Let d(m) be the first derivative of -7*m**g - 17 + 0*m**3 - 13/2*m**4 + 0*m. Find the second derivative of d(b) wrt b.
-156*b
Let r = 16962 + -16946. Let f(j) be the first derivative of -27 - 29/5*j**5 + 0*j**4 + r*j + 0*j**3 + 0*j**2. Differentiate f(o) with respect to o.
-116*o**3
Let c(m) = 75*m**3 + 15*m**2 - 2254*m - 2. Let i(r) = -73*r**3 - 18*r**2 + 2254*r + 3. Let w(p) = -3*c(p) - 2*i(p). What is the second derivative of w(z) wrt z?
-474*z - 18
Let b = -110 - -112. Find the third derivative of -w**b + 4*w**2 + 14 + 2*w**4 + 46*w**3 - 19*w**3 wrt w.
48*w + 162
Suppose -2*a - 774 = 4*a. Let l = -80 - a. Differentiate -l + 31 + 29 + 31*h wrt h.
31
Suppose 0 = -0*q + 4*q + 312. Let j = q - -82. Find the first derivative of -5502*x**2 + 5502*x**2 - 24*x**j - 2 wrt x.
-96*x**3
Find the second derivative of -55 + 12*q**2 - 3*q**2 - 166*q + 176*q - 1067*q**3 - 9*q**2 wrt q.
-6402*q
Suppose -2*g = 2*l - 5*g - 632, 3*g = -2*l + 608. Suppose -416*j = -394*j - 638. Find the second derivative of -j*a**2 - l + 310 + 2*a wrt a.
-58
Let v(g) = -26*g - 28. Let x = -7 - -13. Suppose r - x + 1 = 0. Let y(n) = -52*n - 55. Let z(s) = r*v(s) - 3*y(s). What is the first derivative of z(p) wrt p?
26
Suppose 13*s - 3*p - 19 = 9*s, -3*s = -p - 13. Find the second derivative of 15 - 70*t**s - 32 + 62*t + 15 wrt t.
-840*t**2
Let b(h) = -h**3 - 7*h**2 - 13*h - 40. Let o be b(-6). What is the third derivative of -49*d**o + 48*d**2 + 17*d**4 - 62*d**2 wrt d?
408*d
Let x(w) = 11*w**2 + 11*w + 2103. Let k(n) = 34*n**2 + 32*n + 6318. Let y(u) = -2*k(u) + 7*x(u). What is the first derivative of y(m) wrt m?
18*m + 13
Let o(g) be the second derivative of 5*g**5/4 - 5*g**3/3 - 629*g**2 - 2*g + 59. Differentiate o(f) with respect to f.
75*f**2 - 10
What is the first derivative of 588 + 398*t - 353*t + 513 - 174 wrt t?
45
What is the third derivative of -15806551*z**3 + 645*z**2 + 15801139*z**3 + 21*z**2 wrt z?
-32472
What is the second derivative of 2*j**3 + 346*j**4 - j**5 - 1889*j + 1291 + 102*j**4 + 1890*j wrt j?
-20*j**3 + 5376*j**2 + 12*j
Suppose -2*d + 124 = -5*m + 8*m, 5*m = 10. Differentiate 42 - 8*j - 11*j + 19*j + d*j**3 wrt j.
177*j**2
Let h(n) be the second derivative of 345*n**5/4 - 703*n**4/12 + 948*n. What is the third derivative of h(y) wrt y?
10350
Let z(v) = -v**3 + 2*v**2 + 7*v - 2. Let h be z(3). Suppose 0 = -k + 23 - h. Differentiate 29 + 4*x**2 - k - 15 wrt x.
8*x
Let o be (-3189)/(-15) + 3/(-5). Let w = -137 + o. Find the third derivative of -w*y + 75*y + 19*y**6 - 6*y**6 + 3*y**2 wrt y.
1560*y**3
What is the second derivative of -2 + 90*z**2 - 245*z**2 + 12*z - 934*z**2 + 136 wrt z?
-2178
What is the third derivative of -4322*n**2 + 1377*n**4 - 5838*n**4 - 264*n**2 wrt n?
-107064*n
Let m(a) = 2*a**3 - a**2 + a. Let i(n) = 64*n**3 - 7*n**2 + 31*n + 10. Let u(l) = -i(l) + 12*m(l). Find the second derivative of u(r) wrt r.
-240*r - 10
Let f(c) = -48*c + 1 + c**2 + 101*c - 53*c. Let t(z) = 39*z**3 - 4*z**2 - 3*z + 1. Let s(q) = 2*f(q) + t(q). What is the second derivative of s(n) wrt n?
234*n - 4
Find the third derivative of 235*s**5 - 123*s**4 + 5336*s**6 - 5331*s**6 + 122*s**4 + 8*s - 133*s**2 wrt s.
600*s**3 + 14100*s**2 - 24*s
Let r(u) = -9*u**2 + 18*u + 1. Let k be r(1). What is the third derivative of c + k*c**3 + 20 - 20 - 90*c**3 + 43*c**2 wrt c?
-480
Let g(i) be the third derivative of 1/24*i**4 - 43/6*i**3 + 43/60*i**5 + 0 - 4*i**2 + 0*i. What is the first derivative of g(c) wrt c?
86*c + 1
What is the derivative of 71*x**2 + 118 - x**2 - 20*x**2 - x + 685 wrt x?
100*x - 1
Let p(f) be the second derivative of -56*f**7/3 - 973*f**3 - f**2/2 - 