second derivative of 83*d - 26*d**2 - 5 - 42*d - 44*d wrt d.
-52
Let v(z) be the third derivative of z**7/315 + z**6/30 - z**4/3 + 42*z**2. Let t(f) be the second derivative of v(f). Find the second derivative of t(o) wrt o.
16
Let t(j) = 53*j**3 - 7*j**2 - 1818*j - 5. Let a(g) = 27*g**3 - 3*g**2 - 909*g - 3. Let b(m) = 5*a(m) - 3*t(m). What is the second derivative of b(r) wrt r?
-144*r + 12
Let n(s) be the first derivative of s**5/5 + 5*s**4/4 - 2*s - 17. Let w(m) = -m**4 - m**3. Let c(k) = 3*n(k) + 15*w(k). What is the derivative of c(x) wrt x?
-48*x**3
Let w(u) be the third derivative of 213*u**8/112 + 103*u**4/6 - 6*u**2 - 20. Find the second derivative of w(c) wrt c.
12780*c**3
Let w(s) be the second derivative of 0 + 1/3*s**4 - 5/6*s**3 + 1/2*s**2 + 2*s. Let r(p) be the first derivative of w(p). What is the derivative of r(l) wrt l?
8
Let j(o) = o**3 + 8*o**2 + 8*o + 7. Let q be j(-7). Suppose 0 = 3*s - q*s - 9. What is the first derivative of a + a + s - 6 wrt a?
2
Let c(d) be the second derivative of -25*d**3 + 141*d**2 - 288*d. Differentiate c(s) with respect to s.
-150
Let s(u) = 6*u - 20. Let b be s(9). What is the third derivative of b*d**2 + 32*d**3 + 12*d**2 - 28*d**2 wrt d?
192
Let t(l) = -15*l**3 + 17*l**2 + 90*l. Let y(o) = -7*o**3 + 9*o**2 + 45*o. Let z(h) = -4*t(h) + 7*y(h). What is the second derivative of z(g) wrt g?
66*g - 10
Let k = 17 - 13. What is the third derivative of 177*b**2 + 4*b**4 - 45*b**k - 191*b**2 wrt b?
-984*b
Let l = -2 + 4. Suppose 195*r = 198*r - 9. Differentiate 5 + 23*c - r*c**l - 23*c wrt c.
-6*c
What is the derivative of a**3 + 2*a**3 - 108 - 81 - 6*a**3 + a**2 + 6*a**2 wrt a?
-9*a**2 + 14*a
Find the second derivative of 49 - 110*t - 49 + 594*t - 562*t**3 wrt t.
-3372*t
Let y(t) be the first derivative of -33*t**8/56 + 7*t**4/4 + 41*t - 36. Let x(v) be the first derivative of y(v). What is the third derivative of x(p) wrt p?
-3960*p**3
Suppose 4*r + 2*w - 272 = 0, -2*w + 7*w = 2*r - 112. Find the second derivative of 2*x**5 + 8*x**5 - r*x + 70*x wrt x.
200*x**3
Let t(j) be the third derivative of -j**4/24 + 7*j**2. Let k be t(-2). What is the third derivative of -2*n**k + 12*n - 2*n + n**5 - 10*n wrt n?
60*n**2
Let z = -72 + 76. Find the second derivative of -m**3 + 5*m**2 - m - 14*m**3 + 8*m - z*m**2 wrt m.
-90*m + 2
Let c be 4 + 0/(-4 - 0). Find the second derivative of -p**c - 21*p**4 - 4*p**4 - 29*p wrt p.
-312*p**2
What is the third derivative of -w**3 - 91*w**2 + 47612*w + w**3 + w**5 - 47612*w wrt w?
60*w**2
Let g(q) be the third derivative of 17*q**5/4 + 65*q**4/6 + 258*q**2. What is the second derivative of g(y) wrt y?
510
Let p(v) be the second derivative of 17/20*v**5 + 0*v**2 - 17/6*v**3 + 14*v + 0*v**4 + 0. What is the second derivative of p(l) wrt l?
102*l
Let i(q) = -215*q**2 + 8*q - 29. Let k(g) = 2*g**2 + 4*g + 1. Let v(y) = i(y) - 2*k(y). Differentiate v(j) with respect to j.
-438*j
Let g(p) be the third derivative of -p**6/30 + 7*p**5/15 - 4*p**4/3 - 51*p**2. What is the second derivative of g(f) wrt f?
-24*f + 56
Find the second derivative of m**2 - 877*m + 238*m**3 - 348*m**3 + 371*m**3 wrt m.
1566*m + 2
What is the third derivative of 666*a**3 - 222*a**2 + a + 184*a**2 - 248*a**2 wrt a?
3996
Let z(l) = l**2 - l - 1. Let p(j) = 16*j**2 + j - 6. Let u(o) = -p(o) + 6*z(o). Find the second derivative of u(n) wrt n.
-20
What is the first derivative of -7*d - 37 - 407 + 7*d + 713*d**2 wrt d?
1426*d
Let m(u) be the first derivative of 98*u**6/3 - 398*u**3/3 + 670. Find the third derivative of m(d) wrt d.
11760*d**2
Let t(y) be the third derivative of -103*y**5/60 + 49*y**4/12 - y**3/3 - 129*y**2. Find the second derivative of t(x) wrt x.
-206
Find the first derivative of 60*n + 17 + 63*n - 111*n + 5 - 2*n**2 wrt n.
-4*n + 12
Let x(k) = -12*k**4 - 4*k**2 + 186*k - 3. Let o(c) = -c**4 + c**2 - c + 1. Let p(s) = 3*o(s) + x(s). What is the second derivative of p(t) wrt t?
-180*t**2 - 2
Find the second derivative of 2*d + 82*d**3 + 3*d - 13 - 74*d**3 wrt d.
48*d
What is the third derivative of 24 - 16*j**3 - 24 + 25*j**2 - 66*j**3 wrt j?
-492
Let f(r) = r**3 - r**2 - r + 140. Let w be f(0). Suppose -33*b = -38*b + w. What is the second derivative of 0*m**3 - b*m + 13*m**4 + 0*m**3 + 22*m wrt m?
156*m**2
Let p(u) be the second derivative of 3*u**4/4 + 5*u**3/2 + 61*u**2 + u + 2. What is the derivative of p(k) wrt k?
18*k + 15
Let t(x) be the second derivative of x**4/4 - x**3/3 - 309*x**2/2 + 2*x - 14. Differentiate t(c) wrt c.
6*c - 2
Let n(a) = 2. Let h(s) = -39*s**3 - 9*s**2 - s + 6. Let v(p) = 2*h(p) - 6*n(p). What is the third derivative of v(i) wrt i?
-468
Let x = -56 - -65. Differentiate 5*d**3 + x*d**3 + 0 - 3 wrt d.
42*d**2
Let r(q) = -91*q + 108. Let n(t) = 182*t - 218. Let u(o) = -3*n(o) - 5*r(o). Find the first derivative of u(c) wrt c.
-91
Suppose 2*b + 11 - 3 = 0. Let o be ((-3)/6)/(b/8). What is the first derivative of o - 4 + 0*h**2 - 6*h**2 wrt h?
-12*h
Let q(v) = v**3 - 33*v**2 + 115*v + 31. Let l be q(29). Let w be (4/(-10))/(2/(-10)). Find the third derivative of -1 + 1 - 6*c**3 + 17*c**w - 11*c**l wrt c.
-36
Let z(v) = -225*v - 129. Let o(y) = -452*y - 262. Let p(j) = 4*o(j) - 7*z(j). What is the first derivative of p(g) wrt g?
-233
Let c(a) be the first derivative of -a**6/6 - 2*a**5 - 2*a**3 - 2. What is the third derivative of c(f) wrt f?
-60*f**2 - 240*f
Find the third derivative of -3*t**6 + 22716*t**4 + 384*t**2 - 2*t**6 - 22758*t**4 + 6*t**6 wrt t.
120*t**3 - 1008*t
Let t(a) be the second derivative of 0 + 0*a**4 - 9/10*a**5 - 5/3*a**3 + 23*a + 0*a**2. Find the second derivative of t(j) wrt j.
-108*j
Let i(x) = x**2 + 17*x + 20. Let u be i(-16). Find the second derivative of -2 - 15*d**4 - 13*d**u + d**2 + d + 24*d**4 - 3 wrt d.
-48*d**2 + 2
What is the third derivative of -19*x**5 - 2*x**5 + 27*x**5 + 14*x - 12*x**3 - 5*x**2 wrt x?
360*x**2 - 72
Suppose h - 3*h = -40. What is the second derivative of h*v**2 + 33 - v + 26*v**2 - 15*v**2 - 2*v**4 wrt v?
-24*v**2 + 62
Let i be (5/10)/((-3)/(-6)). Let k(f) = 4 - i - 9*f**4 - 5. Let a(t) = -t**4 - t - 1. Let z(y) = -2*a(y) + k(y). What is the second derivative of z(d) wrt d?
-84*d**2
Let i(o) be the third derivative of -o**9/4032 - o**6/72 + o**5/30 - 6*o**2. Let u(a) be the third derivative of i(a). Find the first derivative of u(n) wrt n.
-45*n**2
Let x(v) = -v. Let g = -30 - -32. Suppose p = 6*p - 30. Let f(h) = -3*h**2 + h. Let q(k) = g*f(k) + p*x(k). Find the second derivative of q(l) wrt l.
-12
Let d = 892 - 892. Let u(s) be the second derivative of 0*s**4 + 7/30*s**6 + d - 5*s + 0*s**3 - 4*s**2 + 0*s**5. What is the derivative of u(r) wrt r?
28*r**3
Differentiate -1556*g**3 + 1556*g**3 + 8*g**4 - 3*g**2 - 51 with respect to g.
32*g**3 - 6*g
Suppose 4*t - 3 = 5. Find the third derivative of -5*c**2 + 11*c**2 + 6*c**5 - t*c + 2*c wrt c.
360*c**2
Suppose 3*g = 42 - 15. Find the third derivative of 11*u**3 + g - 4*u**2 - 16 + 7 wrt u.
66
Let w be (-4)/(-22) + 8/(-44). Let i be (1 + w)/((-2)/(-26)). Find the first derivative of 1 + 3 + i*o**3 - 2 wrt o.
39*o**2
Let s(m) be the first derivative of 28*m**4 + 122*m**3/3 + 218. Find the third derivative of s(f) wrt f.
672
Let s(j) = j**4 - 4*j**3 - 12*j + 46. Let z(w) = w**4 - 8*w**3 - 22*w + 91. Let f(x) = 11*s(x) - 6*z(x). Differentiate f(i) with respect to i.
20*i**3 + 12*i**2
Suppose 15*n = 12*n - 18. Let v be 1*10/n*-3. What is the second derivative of 7*a**5 - 4*a + 3*a**v - 8*a**5 - 5*a wrt a?
40*a**3
Let w(c) = -c**3 - 5*c**2 + 4*c - 10. Let z be w(-6). What is the first derivative of 56*m**2 + 55*m**z - 78*m**2 + 32 wrt m?
66*m
Let x(n) be the third derivative of -5*n**8/112 + n**7/210 - 19*n**5/15 - 17*n**2 + 1. What is the third derivative of x(k) wrt k?
-900*k**2 + 24*k
Let k(d) be the first derivative of 27*d**5/5 - 139*d + 142. Differentiate k(x) with respect to x.
108*x**3
Let f(c) = 4*c**2 - c. Let d(m) = 147*m**2 + 3*m + 2. Let n(z) = d(z) - 5*f(z). Find the second derivative of n(k) wrt k.
254
Let y(k) = k - 1. Let c(a) = -14*a - 5. Let o be ((-24)/2)/4 - -5. Let i be (-2)/o + (-1)/1. Let z(v) = i*y(v) - c(v). Differentiate z(t) with respect to t.
12
Let z(h) be the third derivative of 23*h**7/105 + 145*h**3/6 - 70*h**2 - h. What is the first de