x(5). Find the third derivative of k*g**2 + 28*g**5 + 38*g**5 - 21*g**5 + 2*g**2 wrt g.
2700*g**2
Suppose -4*x - 18 = -x. Let k be x/5*10/6*-1. What is the third derivative of -k*r**5 - 13*r**5 - 31*r**5 + 9*r**2 + 3*r**2 wrt r?
-2760*r**2
Let p be (-1)/(-2 - (-18)/8). Let r be (32 + p)/(4/2 + -1). What is the third derivative of 32*g**4 + 11*g**2 - r*g**4 + 12*g**2 wrt g?
96*g
Let x(a) = 16*a + 100. Let p be x(-5). Find the second derivative of -97*q - 17*q**3 - 4*q + 6*q**3 - p*q**3 wrt q.
-186*q
Let u be (-3)/6*-4 + 35/7. Differentiate -18*o**2 + u + 26*o**2 + 17 + 24*o**2 wrt o.
64*o
Let g(k) be the second derivative of 0 + 40*k + 0*k**2 + 0*k**3 - 1/14*k**7 - 3/20*k**5 - 7/2*k**4 + 0*k**6. Find the third derivative of g(v) wrt v.
-180*v**2 - 18
Let s be 6/(-4)*(-8)/6. Let k be 5 - (-7 + 3)/(-4). What is the third derivative of k*q**2 + 5*q**4 + s*q**2 - 19*q**2 wrt q?
120*q
Let x be 12/9 + 12/18. Find the third derivative of 3*i + 163*i**6 - 3*i + 310*i**x - 300*i**6 wrt i.
-16440*i**3
Let j(l) be the first derivative of -885*l**4/2 + 57*l**2/2 + l - 665. What is the second derivative of j(r) wrt r?
-10620*r
Suppose 0 = -8*r + 3*r + 3*u + 24, 3*u = -3*r. What is the third derivative of 3*n**r + 130*n**4 + 5*n**2 + 5*n**2 - 177*n**4 wrt n?
-1128*n + 18
Let f = 89 + -55. Suppose -f*n = -28*n - 174. Find the first derivative of -42*x**4 - n*x + 29*x - 18 wrt x.
-168*x**3
Let j be (0/(-2) + 2)/((-1)/(-2)). Suppose 3*u + 3 = j*u. What is the second derivative of 0*g**3 + 127 - 127 - 20*g - g**u wrt g?
-6*g
Suppose 73 = 4*n + 73. Suppose n = -5*w + 2*o + 17, 0 = 5*w - w - o - 16. Differentiate -5 + 796*i - 808*i - w wrt i.
-12
Find the second derivative of -97 + 155 - o + 1867*o**4 - 704 wrt o.
22404*o**2
Let l(i) = -7*i**4 - 60*i**3 + 15*i**2 + 323*i - 15492. Let s(z) = z**4 + 8*z**3 - 2*z**2 - 46*z + 2213. Let m(k) = 2*l(k) + 15*s(k). Differentiate m(a) wrt a.
4*a**3 - 44
Let w(c) = -4*c + 98. Let z be w(20). What is the third derivative of 0*i**2 + 6*i**2 - z - 5*i**4 + 3 - 2*i**2 + 6*i**3 wrt i?
-120*i + 36
Let p(l) be the first derivative of 326*l**5/5 + 98*l**3/3 - 6*l + 526. Find the third derivative of p(f) wrt f.
7824*f
What is the second derivative of -57 - 308*w**2 + 680*w**2 + w - 1257*w**2 wrt w?
-1770
Let p(k) = k**2 + 26*k - 102. Let m be p(-31). Differentiate -180*y - m*y + 72*y + 152 wrt y.
-161
Let m(v) be the first derivative of -174*v**5 + 6383*v - 1801. What is the first derivative of m(x) wrt x?
-3480*x**3
Find the second derivative of -225*t**2 + 190 + 308*t**2 - 2*t - 272 wrt t.
166
Let d(f) be the second derivative of 105/2*f**2 - 59 - f + 0*f**3 + 3*f**4. What is the derivative of d(s) wrt s?
72*s
What is the third derivative of -238*t**3 + 3*t**2 - 407 + 456*t**3 + 1391*t**3 wrt t?
9654
Let x = 30 + 21. Suppose -5*s - 2 = y, 2*y + 4*s = 4*y - 10. What is the derivative of -30*q**3 + 2 - 35*q**y + x*q**3 wrt q?
-42*q**2
Let t = -12 + -20. Let i be (1942/4)/((-16)/t). Differentiate -i*w**2 - 1 + 974*w**2 - 3 wrt w.
6*w
Let w be -1 + (8/(-10))/(9/(-270)). Let i = w - 17. What is the third derivative of 64*o**6 + 76*o**6 - 133*o**i - 12*o**2 wrt o?
840*o**3
Differentiate -8724 - 9190 - 255*o + 1963*o + 18379 wrt o.
1708
Let w(q) = -3*q + 35. Let u be w(12). Let a(z) = -8*z - 2. Let x be a(u). What is the third derivative of -3 - 109*h**6 + 3 + 16*h**2 + 107*h**x wrt h?
-240*h**3
Let m(w) be the first derivative of -78 + 55/3*w**3 + 2*w + 7/2*w**2. What is the second derivative of m(i) wrt i?
110
Find the third derivative of -4*o**5 + 139396*o**6 + 2*o**3 - o**4 + 2*o**4 - 141148*o**6 + 7291*o**2 + 4*o**5 wrt o.
-210240*o**3 + 24*o + 12
Let o(g) be the third derivative of -751*g**6/40 - 19*g**5/10 - 11*g**3/6 - 2542*g**2. Find the third derivative of o(r) wrt r.
-13518
Suppose 380 = -1259*l + 1264*l. Find the second derivative of 32*y - 148*y**2 - l*y**3 + 29*y**3 + 68*y**2 + 5 + 77*y**2 wrt y.
-282*y - 6
Let q(t) be the first derivative of 49/3*t**3 - 219/2*t**2 + 301 + 0*t. What is the second derivative of q(w) wrt w?
98
Let q(n) be the first derivative of 96*n**5 + 3*n**4/4 + n**3/3 - 333*n**2/2 + 244. Find the third derivative of q(r) wrt r.
11520*r + 18
Let g(w) be the third derivative of 8*w**7/105 - w**6/6 + 417*w**4/8 - 1084*w**2. Find the second derivative of g(n) wrt n.
192*n**2 - 120*n
Let p = 168 - 162. What is the first derivative of -18*v + v**2 - 11*v - 63 - 18*v + p*v + 2*v**2 wrt v?
6*v - 41
Let q(r) = -2*r**3 + 435*r**2 + 864*r. Let o(g) = -4*g**3 + 870*g**2 + 1731*g. Let z(w) = 2*o(w) - 5*q(w). What is the second derivative of z(l) wrt l?
12*l - 870
Let r(n) be the first derivative of -23*n**5/5 + 40*n**2 + 2803*n + 269. What is the derivative of r(x) wrt x?
-92*x**3 + 80
Let t be (-1 - 4/(-6))*-87. Let h = 31 - t. Find the third derivative of -6*j**h + 0*j**6 + 4*j**6 + 4*j**2 wrt j.
480*j**3
Let m(f) = -f - 1. Let b be m(-4). Let a be 2/(((-77)/(-28))/11). Find the second derivative of 20*v**3 - a*v**b + 0*v + 10*v wrt v.
72*v
Suppose 7*a = 645 + 41. Let w = a + -94. What is the second derivative of q**3 - 2*q**w + 29*q**4 - q**3 + 16*q wrt q?
324*q**2
What is the derivative of 5752 + 2013 - 87*s + 75*s - 161*s**2 wrt s?
-322*s - 12
Let p(c) be the second derivative of -3*c**8/28 + c**4/12 + 83*c**3/2 + 2*c + 281. What is the third derivative of p(f) wrt f?
-720*f**3
Suppose 3*l = 6*l + 63. Let o = 40 + l. Differentiate -16 - o + 9 + 2 + 14*f**3 with respect to f.
42*f**2
Let k(o) be the second derivative of -1/2*o**2 + 3/10*o**6 + 0*o**5 + 0 + 11/6*o**3 + 0*o**4 + 109*o. Find the second derivative of k(z) wrt z.
108*z**2
Suppose -l - 2*u = -2, -l = 2*l + 4*u - 4. Find the third derivative of l*w**6 + 1 + 8*w**3 + 2*w**2 + 5*w**2 + 5*w**3 - w**6 wrt w.
-120*w**3 + 78
Let a be 6/4 + (-17)/(-34). Find the second derivative of -6*j**2 + 2*j**4 + 32*j**a + 7*j**2 + 45*j - 9*j**2 wrt j.
24*j**2 + 48
Suppose 0 = v + n, -5*v = -v - 4*n. Suppose 4*f = 6*f - 18. Find the first derivative of f*q - 13*q**4 - 9*q + 4 + v*q wrt q.
-52*q**3
Differentiate 1071*c**4 - 263*c**4 - 3301 + 1794*c**4 with respect to c.
10408*c**3
Let v = -37 - 7. Let w = v - -46. What is the third derivative of 10*m**3 - 20*m**w - 12*m**2 + 7*m**3 wrt m?
102
Let o(z) = z**2 + 4*z. Let p be o(-4). Let w be 3 + (-6)/24*4. Find the third derivative of p*v**4 + w*v**4 + 8*v**2 - v**4 + 11*v**2 wrt v.
24*v
Let j be 6/(-2) - (8 - 15). Find the second derivative of -56*d**2 - j*d + 2 - 124*d**2 + 76*d**2 wrt d.
-208
What is the second derivative of 5848*f + 6544*f - 447*f**5 - 11216*f wrt f?
-8940*f**3
Let p be 80/30 + (-4)/6. What is the third derivative of -p*y**6 + 78*y**5 + 13*y**5 + 19*y - 5*y**2 - 19*y**5 wrt y?
-240*y**3 + 4320*y**2
Find the second derivative of 5*w - 271*w**2 - 454*w**3 + 506 - 3892*w**4 + 454*w**3 + 271*w**2 wrt w.
-46704*w**2
Let o(z) be the third derivative of 0 + 0*z**5 + 0*z**6 + 3*z**3 + 11*z - 3/35*z**7 + 3*z**2 + 0*z**4. Differentiate o(c) wrt c.
-72*c**3
Let w(h) = h**3 - 3*h**2 + 3*h + 8. Let n be w(5). Let j = 76 - n. What is the second derivative of -28*c**j + 59*c**3 - 17*c**3 + 5*c wrt c?
84*c
Let g(b) = 1015*b**3 + 731*b**2 + 4. Let c(m) = -2023*m**3 - 1463*m**2 - 9. Let l(z) = -2*c(z) - 5*g(z). What is the third derivative of l(s) wrt s?
-6174
Let w(j) = 4*j - 30. Let a be w(9). Let q(n) = -n**3 + 6*n**2 + n + 4. Let x be q(a). Find the third derivative of -3*m**3 + 5*m**2 + x*m**2 - m**3 wrt m.
-24
Find the second derivative of -4 + 250*y + 331*y**2 - 368*y**2 + 37*y**2 - 6748*y**3 wrt y.
-40488*y
Suppose -4*i = -f - 3, 6*f - 3*f = 4*i - 1. Let m = i + 2. Find the third derivative of 2*b - 2*b - 11*b**m + 32*b**3 + 8*b**2 wrt b.
126
Find the third derivative of -1093*f**2 + 45*f**6 + 12*f**6 + 8*f**6 - 15*f**6 - 23*f**5 + f - 538*f**2 wrt f.
6000*f**3 - 1380*f**2
Let b(r) be the third derivative of -2/3*r**3 + 11 + 1/6*r**4 + 0*r**5 + 73/40*r**6 - 3*r**2 + 0*r. Find the second derivative of b(k) wrt k.
1314*k
Let i(n) = 2615*n + 2574. Let t(s) = -2616*s - 2572. Let w(k) = -3*i(k) - 4*t(k). Differentiate w(b) wrt b.
2619
Find the second derivative of -2*j**2 - j**2 + 314*j**3 - 281*j + 3*j**2 + 1212*j**3 wrt j.
9156*j
Let s(r) = -21*r + 12*r - 91 - 23*r - 11*r. Let h(v) = 9*v + 18. Let b(y) = 33*h(y) 