 + 6*g**2
Find the third derivative of 9*y**2 - 707*y**2 - 12755 + 12755 - 252*y**2 - 472*y**6 wrt y.
-56640*y**3
Let g(k) be the first derivative of 67*k**7/7 - k**6 - 9*k**5/5 + 2*k**3 - 320*k**2 - 2*k - 13742. What is the third derivative of g(h) wrt h?
8040*h**3 - 360*h**2 - 216*h
Let f = -4758 - -4762. Let h(j) be the third derivative of -19/60*j**5 - 5/2*j**3 + 0*j + 0*j**4 - f*j**2 + 0. What is the first derivative of h(a) wrt a?
-38*a
Let k(g) = -85*g**2 + 67. Suppose -23 = 7*h - 72. Let z(w) = 43*w**2 - 33. Let o(d) = h*z(d) + 4*k(d). What is the derivative of o(u) wrt u?
-78*u
Let x(i) = -i**3 + 6*i**2 - 6*i - 4. Let v be x(4). Suppose v = -16*o + 4. Differentiate -4 + o + 16*l**3 - 34*l**3 wrt l.
-54*l**2
Let g(p) be the third derivative of -41*p**6/4 - p**4/8 + 749*p**3/3 + 409*p**2 - 3. What is the derivative of g(f) wrt f?
-3690*f**2 - 3
Suppose 5*p = -3*n + 74, -4*p = -0*p - n - 49. Let s = p - 6. Find the second derivative of 9*o + 3*o**3 + o**3 + s*o - 3*o wrt o.
24*o
Let a(d) be the second derivative of 0*d**2 + 0*d**3 + 0*d**6 + 0*d**5 - 7/6*d**4 - 1 - 11/14*d**8 - 57*d + 0*d**7. Find the third derivative of a(y) wrt y.
-5280*y**3
Find the first derivative of -1692 - 555*t + 1820 - 6013 - 240*t wrt t.
-795
Find the second derivative of 11 - 9 - 508*l + 400*l - 2297*l**2 wrt l.
-4594
Find the second derivative of -297*n + 245*n**3 + 1588*n**2 + 6*n**4 - 4770*n**2 + 1591*n**2 - 10 + 1592*n**2 - 3 wrt n.
72*n**2 + 1470*n + 2
Suppose -m - 4*m + 80 = 4*d, 5*m = 2*d + 50. Suppose 3*s + 6 - m = 0. What is the second derivative of 94*k**s - 94*k**2 - 24*k**4 + k wrt k?
-288*k**2
Suppose 3*m - 2 = 5*y - 6, m + y - 4 = 0. What is the third derivative of 156 + 4*f**4 - 156 + 7*f**3 - 54*f**m + 8*f**3 wrt f?
96*f + 90
Let v(g) = g**4 + 2*g**2 - 2*g - 9. Let r(q) = -31*q**4 - q**3 - 4*q**2 - 18*q + 5841. Let d(m) = r(m) - 9*v(m). Find the first derivative of d(p) wrt p.
-160*p**3 - 3*p**2 - 44*p
Suppose -14*g + 17*g = 9. Suppose -74 + 89 = g*c. What is the third derivative of 8*b**4 - 16*b**5 + 32*b**c + 36*b**2 - 8*b**4 wrt b?
960*b**2
Let u(d) = 17863*d**2 - 14161*d + 248. Let s(i) = 23818*i**2 - 18881*i + 341. Let t(g) = 8*s(g) - 11*u(g). Find the second derivative of t(c) wrt c.
-11898
What is the derivative of 359*m**2 + 463 + 142*m**2 - 62*m**2 + 1018 + 126 + m wrt m?
878*m + 1
Suppose 3559 - 1159 = 15*t. What is the first derivative of -429920*q + 151 - t*q**4 + 429920*q wrt q?
-640*q**3
Let t be (-55)/(3*2/(-18)). Suppose 4*j - 5*x - t = 3*j, -2*j + x = -366. What is the third derivative of j - 185 + 4*m**2 - 5*m**5 wrt m?
-300*m**2
Let a(l) be the second derivative of 1471*l**7/21 - 161*l**3/6 + 9*l**2/2 + 2*l - 260. Find the second derivative of a(n) wrt n.
58840*n**3
Suppose -2 = -17*l + 16*l. Differentiate 159 - l*k**3 + 157 - 300 with respect to k.
-6*k**2
Let k = -92 + 92. Suppose k = -3*o - 3*o + 30. What is the second derivative of -21*w + 11*w**5 + 14*w**5 + 0*w**o wrt w?
500*w**3
Find the third derivative of -15 + h**3 + 145*h**4 + 154*h**4 + 83 - 5*h**2 wrt h.
7176*h + 6
Let f(k) be the first derivative of 5*k**6/8 - k**4/24 - 29*k**3/2 - 3*k**2 - 2*k + 70. Let x(w) be the second derivative of f(w). Differentiate x(p) wrt p.
225*p**2 - 1
Suppose -k + 33 = -5*g, g - 10 = 3*k - 81. Find the second derivative of -3*l**3 - l**3 - 23 - 13*l - 12*l**5 + k wrt l.
-240*l**3 - 24*l
Suppose 3*d + k - 2139 + 45 = 0, 0 = -2*d + 3*k + 1396. Differentiate -328*h**4 - 207 + d*h**4 - 350*h**4 wrt h.
80*h**3
Suppose 0 = -i + 9 - 5. Let z(q) = q**2 - 7*q + 15. Let h be z(i). Differentiate 2 + 0 - h + 4*x wrt x.
4
Suppose -5*k - 6*t + t = -15, k + 4*t = 0. Suppose -g + 12 = 5*h, k*h - 30 = -h + 5*g. Find the third derivative of -r**4 - 59*r**2 + 48*r**2 + h*r**4 wrt r.
48*r
Let h = 30639 - 30618. Let u(q) be the first derivative of -h - 16*q + 43/2*q**2. Differentiate u(i) wrt i.
43
Let v(c) be the first derivative of 115/2*c**4 + 0*c - 17 + 0*c**3 + 219/2*c**2. What is the second derivative of v(k) wrt k?
1380*k
What is the second derivative of 5 + 129*n - 2689*n**2 - 264*n + 6 + 134*n wrt n?
-5378
Suppose 461 = 14*b - 57. Find the first derivative of 1 - 4*i**2 - 11*i**4 - 12*i**4 + b*i**4 - 16*i**4 wrt i.
-8*i**3 - 8*i
Let g(m) = 9*m**2 - 7*m. Let a(f) = -14*f**2 - f + 4*f + 8*f. Let o = -1821 + 1814. Let r(u) = o*g(u) - 5*a(u). What is the second derivative of r(x) wrt x?
14
Find the second derivative of -k**4 + k**4 + 4 - 875*k**5 - 10 - 8*k - 1060*k**5 wrt k.
-38700*k**3
Let x be 4/(-6) - (-17 + 294/18). Let s(z) be the first derivative of -10 + 0*z**2 + x*z + 7/3*z**3 + 1/2*z**4. What is the third derivative of s(f) wrt f?
12
Let r(g) = 4*g**2 - 4*g**3 + 34 - 6*g + 2*g - 238*g**4 + 161*g**4. Let w(b) = -b**3 + b**2 - b - 1. Let f(v) = -r(v) + 4*w(v). Differentiate f(t) wrt t.
308*t**3
Find the third derivative of -2490889*c - 4706*c**2 - 4748*c**4 + 2490889*c wrt c.
-113952*c
Let l(f) be the first derivative of 55*f**8/56 - 5*f**4/2 - 66*f + 22. Let h(r) be the first derivative of l(r). What is the third derivative of h(j) wrt j?
6600*j**3
Let b be 10/(-1)*26/(-65). Find the second derivative of -40*y - 5631*y**b + 5464*y**4 - 23*y wrt y.
-2004*y**2
Let r = 370 - 368. Differentiate 3*f**3 - 25*f**r - 4*f**3 + 67*f**2 + 38 - 22*f**2 with respect to f.
-3*f**2 + 40*f
Suppose -3*l = -5*l + 4*y + 30, -2*y = 10. Find the second derivative of -4*a**5 - 22*a**5 - 45*a**l + 4*a wrt a.
-1420*a**3
What is the second derivative of 831*u + 157*u + u**3 - 1599*u + 3125*u + 3040*u + 1872*u**2 wrt u?
6*u + 3744
Let l = -285 + 287. What is the third derivative of l - 69*o**3 + 28*o**3 + 1 + 21*o**2 wrt o?
-246
Let w = 477 - 475. What is the second derivative of 60*h - 35140*h**2 + 35148*h**w + 5*h wrt h?
16
Suppose -2*n - 5*w + 1585 = 0, 10*n = 11*n + 2*w - 793. What is the first derivative of -838*q**3 - n*q**3 + 224 + q**4 + 1519*q**3 wrt q?
4*q**3 - 342*q**2
Suppose 0*y = 3*y - 6. Suppose -25 = -5*z, 2*g - 2*z + 0 = -4. What is the first derivative of g*k**y - 15*k**2 - 12*k**2 - 5 - 5 wrt k?
-48*k
Let c = -33 - -42. Find the second derivative of 2 - 18*m**2 - 5*m + 8*m**3 - c*m + 2*m - 11*m**3 wrt m.
-18*m - 36
Let q(b) be the first derivative of 1/3*b**3 - 11*b + 0*b**4 + 0*b**2 - 39 + 0*b**5 - 3*b**6. Find the third derivative of q(u) wrt u.
-1080*u**2
Let k be -6*(-6)/90 - (-1984)/(-10). Let z be k/(-126) - (-6)/14. Find the second derivative of -z*m - 67*m**5 + 11*m + 78*m**5 wrt m.
220*m**3
What is the third derivative of -1742*x**2 + 1315*x**4 + 1890*x**4 + 37*x**6 + 35*x**6 - 74*x**6 wrt x?
-240*x**3 + 76920*x
Let y(n) be the second derivative of -20*n**7/21 + 9*n**4/4 - 383*n**3 + 1323*n. What is the second derivative of y(w) wrt w?
-800*w**3 + 54
Suppose 128*n - 127*n - 9 = 0. What is the second derivative of 34*d**5 - 8*d - 6*d + n*d - 1 wrt d?
680*d**3
Let k(d) be the third derivative of -d**7/105 - d**6/4 + 31*d**4/24 - 1544*d**3/3 - 9*d**2 - 4*d - 1. What is the derivative of k(h) wrt h?
-8*h**3 - 90*h**2 + 31
Let x(y) be the first derivative of 0*y**3 + 81 + 0*y - 31/4*y**4 + 43/2*y**2. What is the second derivative of x(d) wrt d?
-186*d
Let z = -387 - -614. Suppose c = -0*h - 3*h + 675, h = -c + z. Find the second derivative of -o - 7*o**5 + h - 224 wrt o.
-140*o**3
Let b(h) be the third derivative of -h**6/120 - 1423*h**5/60 + 33*h**4/4 - h**3/2 - 3344*h**2. Find the second derivative of b(s) wrt s.
-6*s - 2846
Let j(n) be the second derivative of 13/6*n**4 + 0*n**3 + 16*n**2 + n + 3. What is the derivative of j(b) wrt b?
52*b
Let r = -147 - -68. Let w = r - -87. Find the second derivative of w*i + 3*i**3 - 27*i**4 + 29*i**4 - 3*i**3 wrt i.
24*i**2
Suppose -24 = 5*f - 0*f + k, -k = 2*f + 12. Let x be f + 7 + 3 - 4. Find the second derivative of 12*u + u**2 + x*u + u wrt u.
2
Suppose 64 = 16*s - 0*s. What is the second derivative of -15*k + s*k**3 + 146*k - 47*k**2 - 5*k**3 + 179*k**2 wrt k?
-6*k + 264
Let r(g) = -g**2 + 13*g - 32. Let b be r(7). Differentiate -9 + 5*i**4 - i**3 - 7*i**3 + 4*i**3 - b wrt i.
20*i**3 - 12*i**2
What is the derivative of 6657*v + 57907 + 3835*v - 47297 wrt v?
10492
Suppose -8 = w - 12. Find the third derivative of 3*u**w + 6*u**3 - 3*u**2 - 10*u**3 - 4 - 21*u**3 + u**2 wrt u.
72*u - 150
Let n(