What is the third derivative of k(b) wrt b?
-8400*b**3
Let j = -7246 + 7248. Let k(l) be the first derivative of 37/2*l**j + 5*l**3 + 33 + 0*l. Find the second derivative of k(u) wrt u.
30
Let g(w) = -w - 1. Suppose 5*p = 5*v - 30, 0*v = 5*v - 3*p - 20. Let i(q) = 4*q**4 + 2*q - 109. Let h(m) = v*i(m) - 6*g(m). Differentiate h(d) wrt d.
16*d**3 + 8
Let t(a) be the first derivative of a**2 + 0*a**5 + 19/2*a**6 + 0*a**3 + 0*a**4 + 70 + 5*a. Find the second derivative of t(q) wrt q.
1140*q**3
Let t(g) = -1169*g**2 - 5495*g - 26. Let c(f) = 585*f**2 + 2747*f + 12. Let b(w) = -13*c(w) - 6*t(w). Find the second derivative of b(k) wrt k.
-1182
Let u(f) be the second derivative of -143*f**5/2 + f**4/6 - f**3/3 - 49*f**2/2 - 47*f - 67. Find the third derivative of u(i) wrt i.
-8580
Let h(c) = -3*c + 47. Let q be h(14). Find the second derivative of -4*r**5 - 30*r**5 - 2031*r**2 + q*r - 1 + 2031*r**2 wrt r.
-680*r**3
Suppose 3768 = 51*j - 39*j. What is the third derivative of -314*k**4 + 55*k**2 + j*k**4 - 10*k**6 wrt k?
-1200*k**3
Let p(i) be the second derivative of 459 + 59*i**2 + 464 + 9*i**4 + 40*i - 923. What is the first derivative of p(g) wrt g?
216*g
Let d(k) be the first derivative of 2*k + k**3 - 139 - 59*k**2 - 7*k**2 + 19*k**2 - 6*k**4. Find the second derivative of d(h) wrt h.
-144*h + 6
What is the second derivative of 11 - 131*t**2 + 3*t + 1504*t**2 - 127 - 5*t - 701 wrt t?
2746
Suppose -107 = -4*k + 41. Suppose 3*z = -z - 4*h + 28, 0 = -3*z + 5*h + k. What is the derivative of -13*f**2 - z + 0 - f**2 wrt f?
-28*f
Differentiate -1018 - 47 - 65226*o**3 + 63958*o**3 with respect to o.
-3804*o**2
What is the second derivative of 1014 + 946 + 32 + 2*s - 231 - 1946*s**4 wrt s?
-23352*s**2
Let p(r) = -r**3 + 29*r**2 + 26*r + 122. Let k be p(30). Find the second derivative of -48*j**4 - k*j - 7 + 12*j**4 + 0*j + j + 1 wrt j.
-432*j**2
Suppose 0 = -9*z + 1172 - 2. Let r = 268 - z. Find the second derivative of 49*g + 5*g**5 + 62*g + 7*g**5 - r*g wrt g.
240*g**3
Let l(t) = -t**3 + 4*t**2 + 6*t - 3. Let c be l(5). What is the derivative of 972*o**2 - 13*o - 9 - 9*o - 971*o**c + 6*o wrt o?
2*o - 16
Let z(s) be the second derivative of -165/2*s**2 - 1/12*s**4 + 0 + 5/6*s**3 + 20*s. What is the first derivative of z(f) wrt f?
-2*f + 5
Let f(s) be the second derivative of 9481*s**5/20 - s**4/6 + 1057*s**3/6 + s**2/2 + 1170*s + 4. What is the third derivative of f(z) wrt z?
56886
Let g(s) be the second derivative of -30*s + 0*s**2 + 4*s**4 - 2 + 0*s**5 + 0*s**3 + 9/10*s**6. Find the third derivative of g(x) wrt x.
648*x
Let l(n) = 3*n**3 + n**2 - n - 2. Let f(c) = -4379*c**3 - 599*c**2 - 3*c - 6. Let h(k) = -f(k) + 3*l(k). What is the third derivative of h(g) wrt g?
26328
Let s(g) be the first derivative of 2*g**3/3 - 7*g**2/2 - 5*g + 14. Let b be s(10). Find the first derivative of -15 + b*a**3 - 125*a**3 + 4*a**4 wrt a.
16*a**3
Let s(x) be the third derivative of x**7/210 - 55*x**4/4 + 4139*x**3/2 - 2*x**2 - 3*x + 344. Differentiate s(w) wrt w.
4*w**3 - 330
Let j(r) = -79*r - 3. Let v be j(5). Let p = 103 - v. What is the second derivative of -14*o - 8*o**3 + p*o**2 - 501*o**2 wrt o?
-48*o
Let f = -202 - -207. What is the second derivative of 12*b**5 + 2*b**4 + 7*b + 5*b**5 - 28*b - 48*b + 5*b**f wrt b?
440*b**3 + 24*b**2
Let f(a) = -14373*a**2 - 3075*a + 30. Let h(k) = 3594*k**2 + 769*k - 8. Let x(l) = 4*f(l) + 15*h(l). Find the second derivative of x(c) wrt c.
-7164
Suppose 3*q - 29 = -4*h, -7 = -3*q - h + 7. Find the second derivative of 39554 + 0*u**2 - q*u**2 - u + 29*u**3 - 39556 wrt u.
174*u - 6
Find the second derivative of -88*g**3 - 55*g - 811*g**4 + 88*g**3 - 334*g wrt g.
-9732*g**2
Let q = 322 - 319. What is the first derivative of -128 - 18*u**q + 67*u**3 + 20*u**3 - u wrt u?
207*u**2 - 1
Let u(b) be the third derivative of -b**9/56 + 3*b**6/20 - 1097*b**5/30 + 5906*b**2. What is the third derivative of u(x) wrt x?
-1080*x**3 + 108
Let r(w) be the second derivative of -85*w**4/6 + w**3/3 + 4670*w**2 - 1880*w. Differentiate r(s) with respect to s.
-340*s + 2
Suppose -4*h + 3*h = 3*n - 109, 2*n = -4*h + 86. Find the first derivative of 138*w**2 + n*w - 140 - 8*w - 139*w**2 wrt w.
-2*w + 27
Let o(t) be the second derivative of 1445*t**3/2 + 1362*t**2 - t - 128. What is the first derivative of o(n) wrt n?
4335
Let f(r) be the third derivative of -233*r**6/120 - 217*r**3/3 + 242*r**2 - 1. Differentiate f(w) with respect to w.
-699*w**2
Suppose -2*v + 15 = f, -f + 13 + 14 = 5*v. What is the derivative of 16*a - 1158*a**3 + f*a + 1159*a**3 - 15 wrt a?
3*a**2 + 23
Let u(g) be the second derivative of -37/2*g**2 + 6/5*g**6 + 0*g**4 + 0*g**5 + 2 + 0*g**3 + 8*g. What is the derivative of u(q) wrt q?
144*q**3
Let c(g) = 135*g**4 + 2*g**3 - 333*g**2. Let z(x) = x**4 + 3*x**3 + 2*x**2. Let l(a) = c(a) - 2*z(a). What is the third derivative of l(f) wrt f?
3192*f - 24
Let p = 974 + -970. What is the first derivative of -27 + 307*z**4 - 596*z**p + 2*z**2 + 236*z**4 wrt z?
-212*z**3 + 4*z
Find the second derivative of 7*x + 17*x - 973*x**2 - 67 - 217*x**2 - 36*x + 10*x wrt x.
-2380
Let q(b) be the third derivative of 15*b**7/7 + b**5/60 + 325*b**4/12 - 1535*b**2. Find the second derivative of q(c) wrt c.
5400*c**2 + 2
Let g = 141 - 134. Suppose -15 = -q - 4*s + g*s, -s + 5 = 3*q. What is the second derivative of 10*a**q - 41*a**2 + 41*a**2 + 22*a wrt a?
60*a
Let j(n) = -n**3 + 11*n**2 - n + 15. Let h be j(11). Let g be (-5)/((-15)/246) - (h + -7). Find the third derivative of -g*a - 2*a**2 + 4*a**4 + 85*a wrt a.
96*a
Let i = -82 - -85. Differentiate 74 - 145 - 4*h**2 + 3*h**2 + 15*h**i + 77 wrt h.
45*h**2 - 2*h
Let m(d) be the first derivative of -d - 1/4*d**4 - 35 - 4*d**2 + 34/3*d**3. Find the second derivative of m(r) wrt r.
-6*r + 68
Differentiate -236*j**4 - 28*j**3 + 8*j**4 + 3213 - 14359 + 7*j**3 + 27*j**3 with respect to j.
-912*j**3 + 18*j**2
Let c(k) be the second derivative of -1/3*k**3 + 11 + 0*k**2 + 9/4*k**5 - 1/3*k**4 + 3*k. Find the third derivative of c(s) wrt s.
270
Let j(l) be the second derivative of -2*l**2 - 3 + 0*l**5 + 7*l + 146/15*l**6 + 23/12*l**4 + 0*l**3. Find the third derivative of j(q) wrt q.
7008*q
Let j(k) be the third derivative of 0*k - 1/42*k**7 + 21*k**2 + 0 + 0*k**4 - 1/48*k**8 + 2/3*k**5 + 0*k**3 + 0*k**6. What is the third derivative of j(p) wrt p?
-420*p**2 - 120*p
Let q(f) = 8*f - 10 - 29*f + 21*f - f**2 + 13*f. Let h be q(12). Differentiate -23*l**h + 4 - 21 + 38 with respect to l.
-46*l
Let h = -45 - -52. Suppose h + 7 = 7*z. Find the first derivative of 18*d**2 - 24*d**z - 6 + 19*d**2 + 6*d**2 wrt d.
38*d
Suppose 4*l = 2*l + 10. Find the second derivative of l*z**4 - 18*z**4 - 13*z + 29*z wrt z.
-156*z**2
Let p = -282 + 284. What is the third derivative of -35*d**3 + 2*d - 28247 - 21*d**p + 28247 wrt d?
-210
Let t(x) = -29*x - 230. Let p be t(-8). What is the third derivative of -j**6 - 24*j**2 + 132*j**4 + 2*j**6 + 133*j**p + 98*j**2 wrt j?
120*j**3 + 3168*j
Let o(t) be the second derivative of t**6/6 - 61*t**5/5 + 2911*t**2/2 - 9560*t. Differentiate o(r) with respect to r.
20*r**3 - 732*r**2
Suppose -29 - 41 = -5*u. Let d = u - 6. Find the second derivative of d*m**2 - 14*m + 5 - 5 + 10*m**2 wrt m.
36
Let b(y) = -y**3 + 23*y**2 + 3*y + 27. Let d be b(23). Find the first derivative of -15*l + 2*l**3 - 234 + 29*l - 302*l**4 - 14*l + d*l**4 wrt l.
-824*l**3 + 6*l**2
What is the second derivative of 135*i**2 - 180*i**3 + 174*i + 206*i**3 - 27*i**3 wrt i?
-6*i + 270
Let v(t) = t**4 + 1006*t**2 - 988*t + 16. Let r(l) = -l**2 + 4. Let b(p) = 4*r(p) - v(p). What is the second derivative of b(f) wrt f?
-12*f**2 - 2020
Find the third derivative of 0*i**6 + 29 - 21 - 999*i**5 - 8 + 2*i**6 + 2324*i**2 wrt i.
240*i**3 - 59940*i**2
Let j(i) = -80*i + 1. Let c(f) = 1813*f - 12534. Let s(v) = -c(v) - 6*j(v). What is the derivative of s(u) wrt u?
-1333
Let x(q) be the first derivative of 0*q**3 + 0*q - 45/2*q**2 + 49/2*q**4 - 109. What is the second derivative of x(z) wrt z?
588*z
Let d(m) = 326*m**2 + 6*m - 1372. Let h(i) = 336*i**2 + 5*i - 1370. Let p(x) = 5*d(x) - 6*h(x). Differentiate p(g) with respect to g.
-772*g
Let m(x) be the third derivative of -215*x**9/252 + x**6/120 + 373*x**5/30 - 2043*x**2. Find the third 