c**2 - 5*c + 1353. Let u(v) = -1565*v**2 - 7*v + 2030. Let x(o) = 7*i(o) - 5*u(o). Differentiate x(a) with respect to a.
1048*a
Suppose -55 = 3*u - 31. Let r be (3392/(-36))/u - 6/(-27). What is the second derivative of -122*p**4 + 122*p**4 + 12*p**5 - r*p wrt p?
240*p**3
Let j = 666 - 649. Suppose 7*u - 4 = g + 2*u, 20 = 4*u. Differentiate 12*x + j*x - 7*x - g - x with respect to x.
21
Let x(u) = u**3 + 7*u**2 + 6*u + 7. Let d be x(-6). Suppose d - 9 = -b. What is the third derivative of 67*g**b + 51*g**2 - 101*g**2 + 7*g**6 wrt g?
840*g**3
Find the third derivative of 6 + 1124*i**4 - 451*i**2 - 2 + 494*i**2 - 44 + 104*i**4 wrt i.
29472*i
Suppose 13 = -3*t + 160. What is the second derivative of -4*v**2 - 58*v**3 - 20*v**2 + t*v + 2*v**2 + 60*v**3 wrt v?
12*v - 44
What is the second derivative of -20*s - 331*s**4 - 10*s - s**3 + 351*s**2 + 284*s**2 + 1233*s**4 - 633*s**2 + 2 wrt s?
10824*s**2 - 6*s + 4
Let v be 30 - 17 - ((3 - 6) + 14). Let i(h) be the first derivative of 0*h - 15 - 18*h**v - 7/3*h**3. Find the second derivative of i(c) wrt c.
-14
Let k be (4/6)/(2/12) + -2. Find the third derivative of 2*j**k + 39 + 37 - 77 - 9*j**3 wrt j.
-54
Suppose 2*s = n - 59, -4*n - 2*s + 3*s + 271 = 0. Let h = -65 + n. What is the derivative of -4 - h*o + 17*o + 0*o wrt o?
13
Find the first derivative of 766*s**2 + 1662*s**2 + 2665 - 639*s**2 wrt s.
3578*s
Let s(w) be the second derivative of 37/30*w**6 + 1/20*w**5 + 0*w**2 - 19/3*w**3 - 34*w + 2 + 0*w**4. Find the second derivative of s(t) wrt t.
444*t**2 + 6*t
Let x(c) = 819*c**2 + 709*c. Let q(w) = 2460*w**2 + 2128*w. Let v(s) = 2*q(s) - 7*x(s). Find the second derivative of v(k) wrt k.
-1626
What is the second derivative of -1503*u**2 + 3929*u - 5686*u + 276*u**2 wrt u?
-2454
Find the second derivative of 6 + 11786*v**2 - 815*v**2 + 1213*v**2 + 1 - 2433*v + 2279*v wrt v.
24368
Suppose -2*i + 5*p + 4 = -20, 0 = -3*i + 5*p + 26. What is the second derivative of -5*x**i - 61*x**2 + x**2 - 30*x + 0 - 3 - 3*x**2 wrt x?
-136
What is the derivative of -117*v**4 + 1011 + 983 + 220*v**4 + 795*v - 101*v**4 wrt v?
8*v**3 + 795
Find the second derivative of -185*a**2 + a - 148*a**2 - 523 + 3768 - 257*a**2 + 927 wrt a.
-1180
Let v = 81 + -74. Find the third derivative of 132*q**3 - v*q**2 - 11*q + 15*q**2 - 4 - 13*q + 24*q wrt q.
792
Let w be 36/(-24)*8/(-3). Suppose -s - 12 = -w*n + 2*n, 3*s + 20 = 2*n. Find the third derivative of 63*f**n - 81*f**4 + 27*f**4 + 6*f**2 + 27*f**4 wrt f.
864*f
Find the third derivative of -150*y**2 - 17 + 441*y**4 + 42 + 146*y**2 wrt y.
10584*y
Let d(v) = 78*v**2 - 52*v + 10. Let o(s) = -52*s - 6*s**2 + 122*s**2 - 37*s**2 + 12. Let x(f) = -6*d(f) + 5*o(f). What is the second derivative of x(j) wrt j?
-146
Let c(j) = -4*j + 12. Let s be c(2). What is the second derivative of -20*n - 34*n**5 - 99 - s*n + 99 wrt n?
-680*n**3
Find the second derivative of 10088*h**3 - 10084*h**3 + 4 + 2*h**4 + 71*h + 1 wrt h.
24*h**2 + 24*h
Let t(m) be the second derivative of 1533*m**5/4 - m**4/2 + 591*m**2/2 + 6284*m. What is the third derivative of t(w) wrt w?
45990
Suppose -5*t + 73 = r, t - 197 = 11*r - 15*r. What is the first derivative of -87 + 41*j + r*j + 38*j - 134*j wrt j?
-7
Suppose 28*f = 34*f - 12. Let x(i) = -4*i - 3. Let b be x(-2). What is the derivative of 0*s**2 + 4*s**2 - 8 + 3 + b*s**f wrt s?
18*s
Find the third derivative of -949*r**6 + 402*r**2 - 1992*r**6 + 5037*r**6 wrt r.
251520*r**3
Let l(n) be the second derivative of 13*n**5/20 - 49*n**4/12 + n**3/3 + 577*n**2/2 - 3842*n. What is the second derivative of l(z) wrt z?
78*z - 98
Let g be -6*(-17)/18 + 12/9. Find the first derivative of g*h - 43 - 2*h**2 - 72*h - 39 - 84 wrt h.
-4*h - 65
Find the second derivative of -11088*n**4 - 262*n + 3 + 3400*n - 1 + 2742*n**4 - 2230*n**4 wrt n.
-126912*n**2
Suppose 0*x - 4*c = -x + 17, -x + c = -14. Suppose -5*b = -x - 2. Find the second derivative of -9*m**4 + 2*m + 9*m - b*m + 5*m wrt m.
-108*m**2
Let y(k) = -274*k**4 - 3*k**3 - 3053*k**2. Let h(c) = -547*c**4 - 4*c**3 - 6108*c**2. Let z(u) = -4*h(u) + 7*y(u). What is the third derivative of z(d) wrt d?
6480*d - 30
Let k = -169 + 179. Find the third derivative of k + 6 - 41*a**6 - 13*a**2 + 5*a**6 - 19 wrt a.
-4320*a**3
Let j(m) be the third derivative of 499*m**5/12 - 7*m**4/24 + 169*m**3/6 + 2627*m**2. What is the second derivative of j(x) wrt x?
4990
Let f = -4190 + 6162. Find the second derivative of 47*y**3 + 38*y**3 + 1784*y + 23*y**3 - f*y wrt y.
648*y
Let y(x) be the second derivative of x**6/15 - 3*x**5/20 - 299*x**4/6 + 46*x**3/3 - x**2 + x - 1565. Find the second derivative of y(m) wrt m.
24*m**2 - 18*m - 1196
Suppose 3*d = 4*d - 16. Let h be 5/15 + d/6. Find the third derivative of -3*y**2 + h*y**2 + 4*y**4 - 10*y**2 wrt y.
96*y
What is the third derivative of -26 + 1357*b**3 + 660*b**2 + 10267*b**4 - 10269*b**4 + 22 wrt b?
-48*b + 8142
Let w(z) = 3*z - 16. Let f be w(7). Suppose -9*h + f*h + 16 = 0. Find the second derivative of -16*n + 0 + 1 - 1 - 17*n**h wrt n.
-204*n**2
What is the third derivative of 1809*g**4 - 1808*g**2 - 1921*g**2 + 4338*g**4 - 2 + 1067*g**2 - 658*g**4 wrt g?
131736*g
Suppose 72 = 15*w + 21*w. Differentiate 99*k**w + 161 + 2*k - 204*k**2 + 100*k**2 with respect to k.
-10*k + 2
Let y = 272 - 270. What is the third derivative of -144 + 144 + 8*z**y + 11*z**5 + 5*z**5 wrt z?
960*z**2
Let x be 10 - (-2 + -2) - (4 - 0). Differentiate -5*s**2 + 6*s**3 + x*s**2 - 3*s**2 - 8 with respect to s.
18*s**2 + 4*s
Let h(r) be the first derivative of -3*r**5/5 + r**4/6 - 6*r**2 + 16*r + 62. Let g(k) be the first derivative of h(k). Find the third derivative of g(w) wrt w.
-72
Suppose 18*j + 77 - 12 = 137. Let c(f) be the second derivative of 0 + 19/10*f**5 - 36*f + 0*f**3 + 0*f**2 - 10/3*f**j. Find the third derivative of c(a) wrt a.
228
Let q = 203 + -143. Differentiate -2*u**3 - 7 - 118*u**2 + 58*u**2 + q*u**2 + 38*u with respect to u.
-6*u**2 + 38
What is the third derivative of 1416*w**2 + 579*w**2 - 671*w**2 + 1229*w**3 wrt w?
7374
Find the third derivative of -9418*t**2 + 7302*t**6 - 3492*t**6 - 3812*t**6 - 9*t**4 - 208*t**5 wrt t.
-240*t**3 - 12480*t**2 - 216*t
Let l(p) = 21958*p + 13214. Let x(k) = 4392*k + 2642. Let o(r) = -6*l(r) + 31*x(r). What is the first derivative of o(j) wrt j?
4404
Suppose 159 = -4*t + 5*t. Let z = t - -1. Find the first derivative of 30 - 77*h**2 + z*h**2 - 73*h**2 wrt h.
20*h
Let n(q) = -q**4 + 8603*q**3 - 1912*q**2 + 2*q + 6. Let w(f) = -f**4 + f**3 + f + 3. Let a(c) = n(c) - 2*w(c). Find the third derivative of a(z) wrt z.
24*z + 51606
Suppose -5*w + 2*w = -42. Suppose w*d - 10 = 12*d. What is the second derivative of -2*s**d - s + 13*s - 3*s**5 - s**5 wrt s?
-120*s**3
Let w(o) = -22*o**2 - 26*o - 5979. Let b(z) = -24*z**2 - 31*z - 5981. Let x(n) = -3*b(n) + 2*w(n). Differentiate x(v) wrt v.
56*v + 41
Let x be 1*-7 + 46452/49. What is the second derivative of -1 + 31*g + 468*g**3 - 120*g**4 - x*g**3 + 472*g**3 wrt g?
-1440*g**2 - 6*g
Suppose -4*k - 3*c + 6*c = -507, 2*c - 628 = -5*k. What is the third derivative of -t**3 + 3691 - t**4 - k*t**2 + 2*t**3 - 3691 wrt t?
-24*t + 6
Let m = -79 - -83. Find the second derivative of 435*u**3 + 37*u**m + 73*u - 435*u**3 wrt u.
444*u**2
What is the third derivative of 11*g**3 - 1176*g**2 - 13*g**3 + 606*g**4 - 10*g**5 + 553*g**4 - 840*g**4 wrt g?
-600*g**2 + 7656*g - 12
Let j(w) be the first derivative of 0*w**5 + 0*w**3 - w + 5/3*w**6 + 6*w**2 + 52 - 1/4*w**4. Find the second derivative of j(p) wrt p.
200*p**3 - 6*p
Suppose -30*f - 9 = -33*f. Find the first derivative of 27 + 0 - 209*w**f + 2*w**2 + 208*w**3 - 20*w**2 wrt w.
-3*w**2 - 36*w
Suppose -3*y - 224 + 1091 = 0. Suppose 0 = -11*m - 6*m + y. Find the first derivative of 13*r**2 - m - 15 + 5*r**2 - 6 wrt r.
36*r
Let z(f) = -950*f**4 - 10*f**3 + 4*f**2 - 6*f + 41. Let c(t) = t**4 + 2*t**3 - t**2 - t - 1. Let i(m) = 4*c(m) + z(m). Find the second derivative of i(l) wrt l.
-11352*l**2 - 12*l
Suppose 21*r + 8 = 25*r. What is the second derivative of -25*c**2 - 86 - 10*c**2 + 61 + 2*c - 9*c**r - c**4 wrt c?
-12*c**2 - 88
Let v(i) = 2*i**3 + i**2 + i + 4. Let r be v(3). Suppose -16*h + 2*h = -r. Differentiate h*w + 17*w - 22*w - 7*w**3 + 47 wrt w.
-21*w**2
Let j(q) be the second d