t h(c) = 1693*c**3 - 1737*c**2 + 55*c. Let s(o) = 2540*o**3 - 2606*o**2 + 77*o. Let x(g) = 7*h(g) - 5*s(g). What is the third derivative of x(j) wrt j?
-5094
Find the first derivative of -42589 - 3445*y**4 + 21598 + 21443 wrt y.
-13780*y**3
Find the second derivative of 21*s + 102 - 2*s**2 + 347*s**3 - 8*s - 8*s + 8*s - 12*s wrt s.
2082*s - 4
Let z(n) = -1294*n**2 - 34*n - 48. Let w(k) = -k**2 + 2. Let t(l) = -5*w(l) - z(l). What is the second derivative of t(x) wrt x?
2598
Let j(x) be the second derivative of 3523*x**7/42 - 8*x**3 + 23*x**2 + 15*x. What is the second derivative of j(t) wrt t?
70460*t**3
Let y(d) = -387*d**3 + 3*d**2 + 10*d + 1604. Let o(a) = -1354*a**3 + 12*a**2 + 36*a + 5613. Let p(c) = -5*o(c) + 18*y(c). What is the derivative of p(w) wrt w?
-588*w**2 - 12*w
Let y(x) be the third derivative of -4 + 0*x**7 + 0*x**4 - 3/20*x**5 + 103/168*x**8 + 0*x + 0*x**6 - 30*x**2 + 0*x**3. Find the third derivative of y(u) wrt u.
12360*u**2
Let l(v) = v**3 - 15*v**2 + 14*v + 2. Let q be l(14). Suppose -q*m = -14 + 10. What is the third derivative of -o**m - 18*o**4 + 1391 - 1391 wrt o?
-432*o
Find the third derivative of -4*h**5 - 2 + 650*h**3 + 2*h**4 - 3*h + 514799*h**2 - 3*h**4 - 514893*h**2 wrt h.
-240*h**2 - 24*h + 3900
Let k(q) be the third derivative of 2497*q**5/20 + 436*q**4 + 33*q**2 + 5. Find the second derivative of k(d) wrt d.
14982
Suppose 0 = -7*h - 11 - 24. Let w be (-4 - (-64)/40)/(2/h). Differentiate 3*y**2 - w + 4*y**2 - 14*y**2 with respect to y.
-14*y
Let p(l) = 2*l**3 + l**2 + l + 1. Let f(h) = 1546*h**4 - 4*h**3 - 2*h**2 - 2*h + 445. Let g(j) = f(j) + 2*p(j). What is the first derivative of g(d) wrt d?
6184*d**3
Let y(t) be the first derivative of 2*t**7/7 + 954*t**5/5 - 616*t**3 + 340. Find the third derivative of y(m) wrt m.
240*m**3 + 22896*m
Find the third derivative of 3344*g**3 - 3346*g**3 + 10*g**4 + 238*g**2 + 90*g**2 wrt g.
240*g - 12
Let q be 66/24 + (3/(-4) - -1). What is the second derivative of y**4 - 3 + 3*y**4 + 3*y**q - 7*y - 2*y + 9 wrt y?
48*y**2 + 18*y
What is the first derivative of -382*f + 642859 + 53*f - 644974 wrt f?
-329
Let t(k) be the third derivative of -13*k**7/42 - k**5/3 - 869*k**4/8 - 4302*k**2. Find the second derivative of t(h) wrt h.
-780*h**2 - 40
Let w(s) be the second derivative of -15*s**8 - s**5/5 - 3301*s**4/6 + 425*s. What is the third derivative of w(p) wrt p?
-100800*p**3 - 24
Suppose 156 = -h + 160. Let o(w) = -w**4 + 4*w**3 - 4*w**2 - 14. Let j(m) = m**4 + m**3 - m**2. Let v(a) = h*j(a) - o(a). What is the derivative of v(n) wrt n?
20*n**3
Let j(a) = 178*a**3 + 6*a**2 + 6*a - 6. Let m(o) = o**2 + o + 1. Let u = -165 - -159. Let d(p) = u*m(p) + j(p). Find the first derivative of d(c) wrt c.
534*c**2
Let g(f) = 62*f**2 - 2*f + 1. Let a be g(3). What is the second derivative of -86*k**5 + 0*k - a + k + 572 wrt k?
-1720*k**3
Suppose 443*w - 441*w - 10 = 0. What is the second derivative of 61*z**w + 44*z**5 + 6*z + 12*z + 29*z**5 wrt z?
2680*z**3
What is the derivative of 367 + 177 + 138*y - 245*y - 1085*y**2 + 107*y wrt y?
-2170*y
Let r(z) be the first derivative of 420*z**4 + z**3/3 + 23*z**2/2 - 1909. What is the third derivative of r(q) wrt q?
10080
Suppose 5*r = -2*i - 1, -7*r = -3*r + 4. Suppose -d - y = -25, 2*d = -i*d - 2*y + 92. Find the second derivative of d*h**3 - 4*h**3 - 20*h + 49*h wrt h.
102*h
Find the second derivative of 17283*j**4 - 2109*j - 4*j**3 + 4*j**3 - 18376*j**4 wrt j.
-13116*j**2
Differentiate 81 - 29*n**2 - 199*n - 2125 + 52*n + 291 wrt n.
-58*n - 147
Let y = -2181 + 2183. Let s(k) be the second derivative of 11/12*k**4 + 0*k**3 + 7*k**y + 0 - 15*k. What is the first derivative of s(m) wrt m?
22*m
Let b be (-4)/(-1) + (-45 - -45). Let v = -20 - -27. What is the derivative of -17*p + b*p - 20 - v*p wrt p?
-20
Let c(u) be the third derivative of -4*u**7/21 - u**6/10 + 95*u**4/4 + 820*u**2 + 3*u. What is the second derivative of c(g) wrt g?
-480*g**2 - 72*g
Let q(v) be the second derivative of 67/6*v**4 + 0*v**6 - 2 - 9*v + 0*v**3 + 0*v**7 + 0*v**5 - 87/56*v**8 + 0*v**2. What is the third derivative of q(z) wrt z?
-10440*z**3
Let f(s) be the second derivative of 5*s**8/56 - 17*s**7/6 - s**4/12 - s**3/6 - 63*s**2/2 + 5727*s. Find the third derivative of f(o) wrt o.
600*o**3 - 7140*o**2
What is the third derivative of 258*z**2 + 253*z**3 - 253*z**3 + 16*z**6 + 82*z**5 - 72*z**5 wrt z?
1920*z**3 + 600*z**2
Suppose -97 = -2*u - 5*r, -u + r - 2*r = -44. What is the first derivative of -19*t**2 - u - 20*t**2 + 23*t**2 wrt t?
-32*t
Let y(c) = 2*c + 13. Let o be y(13). Suppose 4*f = -4*x + 32, 5*x - o = 3*f - 7*f. Differentiate 9*n**4 + x*n + 9 - 7*n - 4*n**4 with respect to n.
20*n**3
Let g(z) be the second derivative of z**5/10 + 1111*z**4/4 - z**3/3 + 5087*z**2 + 1621*z. Find the second derivative of g(t) wrt t.
12*t + 6666
Let l(s) be the first derivative of -98 + 0*s**2 + 0*s + 0*s**5 + 0*s**4 + 0*s**6 + 102/7*s**7 - 79*s**3. Find the third derivative of l(f) wrt f.
12240*f**3
Let f(k) = 1053*k - 903. Let l(w) = 526*w - 453. Let d(a) = -3*f(a) + 5*l(a). Differentiate d(z) wrt z.
-529
Let s(d) be the third derivative of -1159*d**4/12 - 731*d**3/6 - 558*d**2. Differentiate s(z) with respect to z.
-2318
Let i(j) be the second derivative of 2 - 13/4*j**4 + 21*j**2 + 0*j**3 + 44*j. What is the first derivative of i(f) wrt f?
-78*f
Let t be 1/(-3) + 120/36. Find the second derivative of 18199*g**t + 46*g**4 - g + 8 - 18199*g**3 wrt g.
552*g**2
Let c(r) be the first derivative of 953*r**5/5 + 145*r**2 - 1639. What is the second derivative of c(k) wrt k?
11436*k**2
Let y(b) = -359*b - 85. Let k be y(-11). Find the second derivative of -k + 89*o**3 + 78*o + 2*o**2 + 3864 wrt o.
534*o + 4
What is the second derivative of 640068*t**2 + 0*t - 640068*t**2 - 3*t - 1279 - 5689*t**4 wrt t?
-68268*t**2
Suppose -132 - 449 = 7*g. Let x = 87 + g. Differentiate -x + 3*j**4 + 0 + 13*j**4 with respect to j.
64*j**3
Let v = -16 + 23. Differentiate 5*t**2 + 5*t**2 - 9*t - 12 - v*t**2 - 30 with respect to t.
6*t - 9
Let z(n) = 5034*n**2 + 10977*n - 9. Let g(d) = 2517*d**2 + 5488*d - 5. Let r(u) = -9*g(u) + 5*z(u). What is the second derivative of r(v) wrt v?
5034
Let x(p) be the first derivative of -p**5/5 + 887*p**4/4 + 2*p**3/3 + 1147*p + 2089. Find the third derivative of x(q) wrt q.
-24*q + 5322
Let r(u) be the first derivative of -156*u + 6587*u**2 + 5*u**3 - 6587*u**2 - 195 + 24*u**3. Differentiate r(p) wrt p.
174*p
Let x be (0/1)/(7/((-7)/(-2))). Suppose 4*c = -4*a + 28, x*c + 2*a = -4*c + 20. Differentiate 0*f**3 - 3*f**2 + 5 - 20*f**c + 3*f**2 wrt f.
-60*f**2
Let p(x) be the first derivative of 0*x**4 + 0*x**6 - 98 + 101/3*x**3 + 0*x**2 + 0*x**5 + 0*x + 67/7*x**7. Find the third derivative of p(u) wrt u.
8040*u**3
Let m(q) be the first derivative of 2469*q**4/4 - 424*q + 1119. Differentiate m(i) wrt i.
7407*i**2
Let j = 2 - -4. Let o(q) = q**2 - 6*q + 2. Let g be o(j). What is the third derivative of -v**3 + 17*v**2 - 6*v**3 - 30*v**g wrt v?
-42
Suppose 180 = 19*y - 1644. Let x be (15/10)/((45/y)/5). Find the third derivative of 9*u**2 + 10*u**3 + 20*u**2 + x*u**2 - 3*u**6 wrt u.
-360*u**3 + 60
Let f(w) be the first derivative of 619*w**3/3 + 110*w - 586. What is the first derivative of f(h) wrt h?
1238*h
Let i(f) be the second derivative of -114*f**5/5 - 189*f**2 + 1271*f. Find the first derivative of i(k) wrt k.
-1368*k**2
Suppose -4 = -3*j + j. What is the second derivative of 11*n**j - 47*n**2 + 4*n**5 - 34 - n + 38*n**2 wrt n?
80*n**3 + 4
Let l(a) be the second derivative of -999*a**5/20 + 415*a**3/2 - 9*a + 34. What is the second derivative of l(w) wrt w?
-5994*w
Suppose 3*n - 7*n + 76 = 0. Let f be ((-20)/(-6))/((-31)/(-93)). What is the derivative of -469*v**3 + f + n + 490*v**3 wrt v?
63*v**2
Find the third derivative of -7*c**3 + 1146 - 4*c**3 + 32*c**2 - 1173 + 8*c**3 - 145*c**5 - 372*c**5 wrt c.
-31020*c**2 - 18
Let z(i) be the first derivative of 405*i**7 + 26*i**3/3 - 5*i**2/2 + 2411. What is the third derivative of z(s) wrt s?
340200*s**3
Let b(r) = -r**3 + 3*r**2 - 2*r + 140. Let w be b(0). What is the second derivative of 54*q**2 + w*q + 132*q - 1 - 293*q wrt q?
108
Let j(p) = 7*p**2 - 17*p + 38. Let d be j(4). Find the second derivative of -44*k**