Let p = -13 + 18. Suppose -12*j - 45 = -21*j. Find the second derivative of -9*h**j + 6*h - 12*h - p*h wrt h.
-180*h**3
Let p(k) be the first derivative of -204*k**5/5 + 98*k**3 - 39. What is the third derivative of p(d) wrt d?
-4896*d
Let j = 117 - 65. Differentiate 73 - j - 2*d**2 - 13*d**2 wrt d.
-30*d
Let b(f) = -5. Let n(i) = 2. Let c(d) = 3*b(d) + 7*n(d). Let o(z) = 17*z**2 - 8. Let m(v) = -5*c(v) - o(v). Differentiate m(j) wrt j.
-34*j
Let d(a) be the second derivative of -a**6/5 + a**4/12 - 97*a. What is the third derivative of d(s) wrt s?
-144*s
Let d = -317 + 321. Let x(f) be the first derivative of -5 + 0*f**3 + 0*f**d + 0*f**2 - 4/5*f**5 + 6*f. Differentiate x(t) with respect to t.
-16*t**3
Let q = -58/3 - -21. Let c(s) be the first derivative of -2/5*s**5 + q*s**3 + 0*s + 0*s**2 + 5 + 0*s**4. Find the third derivative of c(v) wrt v.
-48*v
Let p be 0*2/6 + 1 + -1. Let g(k) be the third derivative of 0 + 0*k**4 + p*k + k**2 - 1/15*k**5 + 1/3*k**3. Find the first derivative of g(a) wrt a.
-8*a
Let c(b) = b**2 + 10*b + 20. Let f be c(-9). What is the first derivative of -8*t + 15*t + f + 13*t + 6*t wrt t?
26
Let j(n) = -43*n - 112. Let m(i) = -43*i - 113. Let r(t) = -3*j(t) + 4*m(t). What is the first derivative of r(b) wrt b?
-43
Find the second derivative of -946*w**2 - 26*w**2 - 10*w + 32 + w + 34*w - 35 wrt w.
-1944
Let h be (155/20 - 4)*-4. Let l be (-7884)/h + (-6)/10. Differentiate -523*a**3 - 4 - 9 + l*a**3 wrt a.
6*a**2
What is the derivative of 243*t**3 + 300 - 480*t**3 + 235*t**3 + 90*t**4 wrt t?
360*t**3 - 6*t**2
What is the third derivative of -43*n**3 + 11*n**3 + 48*n**3 + 112*n**3 - 289*n**2 + 80*n**3 wrt n?
1248
Let s be ((-2)/(-12)*4)/((-5)/(-45)). Find the second derivative of 18*p - s*p**4 + p**4 - p wrt p.
-60*p**2
Let r(a) be the second derivative of -68*a**6/15 + 80*a**4/3 + 76*a. Find the third derivative of r(j) wrt j.
-3264*j
Let u(w) = -w**2 + 9*w - 14. Let m be u(4). Let x(b) be the first derivative of -5 - m*b + 0*b**2 - 3/5*b**5 + 0*b**4 + 0*b**3. Differentiate x(l) wrt l.
-12*l**3
Let q = -17 + 21. Find the first derivative of q*r - 7*r + 12 + 22*r wrt r.
19
Let t(i) be the second derivative of 0*i**2 + 0 - 3/14*i**7 + 10*i + 0*i**6 + 0*i**5 + 0*i**4 - 5/2*i**3. What is the second derivative of t(w) wrt w?
-180*w**3
Let s = 196 + -192. Let y(p) be the second derivative of -7/20*p**5 - 11/6*p**3 + 0 + 0*p**2 + 0*p**s + 3*p. Find the second derivative of y(b) wrt b.
-42*b
Let g(r) be the first derivative of -2*r**7/7 - 49*r**4/4 - 29*r**3/3 + 11*r**2/2 - 250. What is the third derivative of g(n) wrt n?
-240*n**3 - 294
Let y(v) = 22*v**3 + 19*v**2. Let m(i) = 45*i**3 + 38*i**2. Let g = 33 + -24. Let j(x) = g*y(x) - 4*m(x). What is the third derivative of j(q) wrt q?
108
Let o(x) = x**3 + 5*x**2 - 33*x - 146. Let r(a) = a**3 + 6*a**2 - 34*a - 146. Let g(u) = -6*o(u) + 5*r(u). Differentiate g(p) wrt p.
-3*p**2 + 28
Let g(q) be the first derivative of 7*q**4/2 + q**2 + 131*q - 70. Find the first derivative of g(d) wrt d.
42*d**2 + 2
Suppose -q - 427 + 1391 = 0. Find the second derivative of -964 - 19*l + q - 33*l**2 wrt l.
-66
Let h = 20 - 16. What is the derivative of -7*k**4 - 12 - 2*k**h + 0 wrt k?
-36*k**3
Suppose 0*a - a - 2 = 0, -n = 2*a + 2. Find the third derivative of 2*l**2 - 7*l**2 - 6*l**4 + 8*l**n wrt l.
-144*l
Suppose -4*b + 26 - 10 = 0. Suppose b*n - 7 = 5, 7 = 2*v - n. What is the third derivative of 49*a**2 - 50*a**2 + 10*a**v + 0*a**5 wrt a?
600*a**2
Let t(q) be the second derivative of -2/3*q**4 + 7/6*q**3 + 0*q**2 + 6*q + 0. Find the second derivative of t(r) wrt r.
-16
What is the derivative of 57*l + 18*l - 294 + 178*l + 102 wrt l?
253
Let m(w) be the first derivative of 13*w**6/6 + w**3 - 21*w - 572. What is the third derivative of m(f) wrt f?
780*f**2
Let l(w) be the second derivative of -w**7/14 - 22*w**6/15 - 13*w**4/4 + w + 57. Find the third derivative of l(a) wrt a.
-180*a**2 - 1056*a
Let h be -20 + (-1)/(3/(-6)). Let l = h + 28. Differentiate l*w + 4 - 7 - 4 with respect to w.
10
Let b(p) = p**3 + 3*p**2 + 7*p. Let n(r) = -r**3 - r**2 - r. Let y = -15 - -12. Let t(j) = y*n(j) - b(j). What is the second derivative of t(s) wrt s?
12*s
Suppose 0 = -2*a - t - 5, 2*a - 3*t + 25 = 0. Let s = a + 6. Find the second derivative of -4*c**4 + 0*c**4 - 1 + s - 6*c wrt c.
-48*c**2
What is the second derivative of -24157*n + 5*n**3 + 24282*n - n**3 wrt n?
24*n
What is the second derivative of -73*s**3 - 117*s**3 - 98*s**3 + 4*s + 551*s wrt s?
-1728*s
What is the second derivative of 2*a**3 + 13*a + 12*a - 458*a**4 + 246*a**4 wrt a?
-2544*a**2 + 12*a
Let w be (-20)/2*(-4)/(1 - -3). What is the first derivative of -w + 2*x**4 + 30*x**4 - 6*x**4 wrt x?
104*x**3
Let i(x) be the first derivative of -117*x**3 + x**2/2 + 9*x + 247. What is the second derivative of i(n) wrt n?
-702
What is the derivative of -37 - 73*n**4 - 33 - 13*n**4 - 22*n**4 wrt n?
-432*n**3
Let k be -5 - (3 - 0 - 2). Let d = k - -10. What is the first derivative of 0*v**4 - 4 + 2*v**4 - 4*v**d wrt v?
-8*v**3
Let a = -25 + 29. What is the third derivative of -11*d**2 + 12*d**2 + 9*d**a - 7*d**2 wrt d?
216*d
Let j(v) be the first derivative of -v**2 - 2. Let d be j(-4). What is the second derivative of 0*m**4 + 6*m**4 - 6*m**4 - d*m + 5*m**4 wrt m?
60*m**2
Let l(k) be the third derivative of 1/12*k**5 + 0*k**3 - 14*k**2 + 0 + 3/8*k**4 + 0*k. What is the second derivative of l(t) wrt t?
10
Let h(c) = 5*c**2 - 5*c - 4. Let d be h(3). Differentiate 2 + 10*n**3 - 10 + d wrt n.
30*n**2
Suppose 0 = -4*l - 4*p + 2 - 6, -5*l + 2*p + 16 = 0. Find the third derivative of -8*f**l + 229*f + 5*f**5 - 229*f wrt f.
300*f**2
Let n(m) be the third derivative of 7*m**5/20 - 173*m**3/6 + 10*m**2. Differentiate n(b) with respect to b.
42*b
Suppose 5*t - 4*v = 12, -3*v = -3*t + 2*t + 9. Suppose -n + t*n + 3 = 0. Differentiate 2*l - n*l**2 - 2*l - 5 wrt l.
-6*l
Let u = 65 + -61. Find the second derivative of -75 + 17*f + 4*f**u + 15*f**2 - 3*f**4 + 74 wrt f.
12*f**2 + 30
Let v(u) be the first derivative of -3*u**5/40 - 3*u**4/8 - 3*u**3 - 6. Let n(y) be the third derivative of v(y). What is the derivative of n(r) wrt r?
-9
What is the derivative of 6 + 29*u**4 + 85*u**4 + 3 + 339*u**4 - 3 wrt u?
1812*u**3
Let t(j) be the second derivative of -53*j**7/21 + 187*j**3/6 - 4*j - 1. What is the second derivative of t(r) wrt r?
-2120*r**3
Suppose 5*a - 4*m - 12 - 16 = 0, -2*m = 4*a - 38. Find the second derivative of -9*i - 15*i**3 + a*i**3 - 9*i**4 + 7*i**3 wrt i.
-108*i**2
Suppose -101 = -4*z + 3. Suppose -3*d + 5*y + 9 = 0, 5*d - 5*y - z = -11. What is the derivative of 6*v**3 - 13*v**3 - 8 + 5*v**3 + 4*v**d wrt v?
6*v**2
Differentiate -24*l**2 + 16*l**2 - 58 + l**4 - 6 wrt l.
4*l**3 - 16*l
Let l(m) = -3*m + 41. Let o be l(13). Let p(b) be the second derivative of -1/4*b**4 + 0*b**o + 0 - 4*b + 5/6*b**3. What is the second derivative of p(j) wrt j?
-6
Let c(z) be the second derivative of 10*z**7/21 + z**6/15 + z**4/6 - z**3/2 - 179*z. What is the third derivative of c(r) wrt r?
1200*r**2 + 48*r
What is the third derivative of -4*r + 2*r**2 + 79*r**5 - 2*r - 41*r**5 wrt r?
2280*r**2
What is the derivative of -s + 26 + 4*s + 8*s - 92 wrt s?
11
Let f(l) = 6*l**2 + 13*l + 302. Let t(c) = -6*c**2 - 11*c - 300. Let o(r) = -5*f(r) - 6*t(r). Differentiate o(q) with respect to q.
12*q + 1
Let x(y) be the third derivative of y**5/30 + 55*y**4/24 - 23*y**3/2 - 76*y**2. Differentiate x(p) wrt p.
4*p + 55
Let w(c) = -c**2 - 7*c - 3. Let r be w(-5). Let s be (-75)/(-35) + (-1)/r. Find the third derivative of 4*p**3 - 2*p**3 + 60*p**s - 55*p**2 wrt p.
12
Let u(n) be the third derivative of -31*n**5/20 + 41*n**3/3 - 20*n**2 + n. What is the derivative of u(d) wrt d?
-186*d
What is the second derivative of 165*k - 386*k**2 + 460*k**2 - 899*k**2 wrt k?
-1650
Let n(k) = -k**2 + k - 53. Let m(x) = 2*x**2 - x + 1. Let g(j) = 3*m(j) + n(j). Differentiate g(a) with respect to a.
10*a - 2
Let w(x) be the third derivative of -3/112*x**8 + 0*x**5 + 0*x**3 - 13/24*x**4 + 0*x**6 - 3*x**2 + 0*x**7 + 0*x + 0. Find the second derivative of w(h) wrt h.
-180*h**3
Let l(z) be the second derivative of 7*z**6/15 - 9*z**5/20 - 139*z**2/2 - z - 80. What is the first derivative of l(x) wrt x?