What is the second derivative of a(p) wrt p?
-4056*p**2
Let c(o) = -o**3 - o**2. Let g(v) = 4*v**2 + 17*v**4 - 16*v**2 - 10*v + 8*v**2 - 4*v**3. Let i(s) = -4*c(s) + g(s). Find the second derivative of i(q) wrt q.
204*q**2
Let f be 0 + (4 - 1) + -8. Let u = 7 + f. What is the first derivative of 4*c**2 + 4*c**2 - 3*c**u - 2*c**2 + 7 wrt c?
6*c
Let a(s) = s**2 + 9. Let l(f) be the second derivative of -f**4/6 - 27*f**2/2 - 3*f. Let m(c) = 7*a(c) + 2*l(c). Differentiate m(r) with respect to r.
6*r
Let l(i) be the third derivative of 43*i**6/40 - 139*i**4/24 + 137*i**2. Find the second derivative of l(s) wrt s.
774*s
Suppose 4*s - 28 + 4 = 0. What is the first derivative of 3 - 7*c + 11 + 5 - s wrt c?
-7
What is the second derivative of 21*x**5 - 82 - 237*x - 88 + 239*x wrt x?
420*x**3
Let u be (11 + 1)*2/3. Find the second derivative of 16*z + 7*z + u*z**3 - 31*z wrt z.
48*z
Suppose -8*j + 126 = 38. What is the first derivative of 0*w**4 + 3*w**4 - w**4 + j wrt w?
8*w**3
Let u(l) be the second derivative of -l**7/84 + 13*l**6/360 - l**3/3 + 11*l. Let r(n) be the second derivative of u(n). Find the third derivative of r(y) wrt y.
-60
Let p(z) = -z. Let r(t) = -21*t**4 - t**3 - 28*t**2 + 7*t. Let w(l) = 6*p(l) + r(l). Find the third derivative of w(v) wrt v.
-504*v - 6
Let y(g) be the first derivative of 4*g**6/3 + 3*g**5/5 + 14*g**3 + 50. What is the third derivative of y(n) wrt n?
480*n**2 + 72*n
Let z(n) be the second derivative of 3/2*n**2 - n + 0 + 0*n**3 + 2/5*n**5 + 0*n**4. Find the first derivative of z(i) wrt i.
24*i**2
Let w = -14 - -14. Suppose 3*c = 2*m, 5*c = 3*m - w*c + 1. Find the second derivative of -u**3 + u + u**3 + 3*u**3 - 4*u**m wrt u.
-6*u
Let l(h) = 4*h - 5. Let c be l(2). Find the second derivative of -2 + 2 + 53*j - 12*j + 25*j**c wrt j.
150*j
Suppose 3*l + 3*l - 24 = 0. What is the second derivative of -11*g - 5*g**4 - 3*g**l - 5*g**4 wrt g?
-156*g**2
Let t(l) = -l**2 - 11*l - 7. Let i be t(-7). What is the derivative of -5*g**2 + i*g**3 + 3 - 4*g**2 + 9*g**2 wrt g?
63*g**2
Let m(n) be the second derivative of -163*n**3/6 - 349*n**2/2 + 363*n - 1. Find the first derivative of m(a) wrt a.
-163
What is the second derivative of 73*l**4 + 7 + 0*l - 16*l**3 - 68*l**4 - l - 2 - 4*l wrt l?
60*l**2 - 96*l
Differentiate 426*g - g**2 + g**3 - 3*g**2 - 188 + 2*g**2 - 426*g wrt g.
3*g**2 - 4*g
Let q(c) = -c - 1. Let g(m) be the first derivative of -2*m**3/3 + 6*m**2 + 32*m + 40. Let d(w) = g(w) - 5*q(w). Find the first derivative of d(k) wrt k.
-4*k + 17
What is the third derivative of x**4 - 27*x + x**2 - 57*x**5 + 25*x - 35*x - 3*x**2 wrt x?
-3420*x**2 + 24*x
Suppose 2*r = -4*y + 16 + 8, 16 = 2*y + 3*r. What is the third derivative of 4*k**y - 3*k**5 - 9*k**5 + 4*k**2 wrt k?
-480*k**2
Let w(c) = 53*c**2 + 2*c + 2. Let t(a) = 267*a**2 + 10*a + 11. Let x(g) = -4*t(g) + 22*w(g). Find the second derivative of x(q) wrt q.
196
Let p(c) = 2. Let d(u) = -u + 3. Let r(b) = -5*d(b) + 6*p(b). Let i be r(2). What is the third derivative of -8*h**4 - 76*h + 76*h - i*h**2 wrt h?
-192*h
Let b(f) be the first derivative of 5*f**4/4 + 7*f**2/2 - 131*f - 12. Differentiate b(y) with respect to y.
15*y**2 + 7
Let o(w) = -251*w + 133. Let k(n) = -376*n + 198. Let v(h) = 5*k(h) - 7*o(h). What is the first derivative of v(i) wrt i?
-123
Let z(f) = f**3 - 2*f**2 - 3*f. Let a be z(-2). Let u be (-8)/24 + a/(-3). Find the third derivative of -5*s**2 + 0*s**2 - u*s**5 + 6*s**2 - s**5 wrt s.
-240*s**2
Let l = 128 + -124. Find the third derivative of -5*o**2 + 40*o**l + o**2 - 9*o**4 + 6*o**2 wrt o.
744*o
Differentiate -128 + 378*n - 86 + 4 + 21 wrt n.
378
What is the third derivative of -34312*j**5 - 45*j - j**4 + 0*j**4 + 6*j**2 + 34451*j**5 wrt j?
8340*j**2 - 24*j
Suppose 0 = 4*g - 12. Suppose 72*y - 10 = 71*y. Find the second derivative of 12*b - 4*b**3 + 4*b**3 + y*b**3 - 5*b**g wrt b.
30*b
What is the third derivative of 57*z**2 - 75*z**3 - 38*z**3 + z - 5*z**3 - 240*z**2 wrt z?
-708
Let r = -5 + 10. Suppose 0 = r*s - 5 - 15. Differentiate 3 + s*a**3 + 0 - 5 with respect to a.
12*a**2
Let h(w) be the first derivative of 41*w**6/3 + 142*w**3/3 + 121. What is the third derivative of h(f) wrt f?
4920*f**2
Suppose -2*o = 4*n - 8, 4*n + 3*o + o - 8 = 0. Suppose -4*z + 24 = 4*t, -z = 5*t - n*z - 18. Find the second derivative of 6*m**4 - 2*m + m - m**t wrt m.
60*m**2
Let g(i) be the third derivative of 0*i**3 + 0*i - 1/70*i**7 + 7/12*i**4 + 0 + 0*i**6 + 10*i**2 + 0*i**5. What is the second derivative of g(q) wrt q?
-36*q**2
Let b be (12/(-9))/(10/15). Let n be (-2)/b - (-1 + 0). What is the second derivative of 3*p + n*p**4 - 4*p + 0*p + p**4 wrt p?
36*p**2
Let b(q) be the second derivative of 99*q**3/2 + 343*q**2 + 633*q. Find the first derivative of b(g) wrt g.
297
Let u be 3*1*(-4)/(-12). Suppose 2*v + h = 1 + u, 0 = 3*v - 5*h - 16. Find the second derivative of -w - 5*w + 7*w**3 + 2*w**v - 2*w**2 wrt w.
42*w
Let g = -80 - -124. Suppose 2 = -s, -3*u + g = -s - 3*s. Find the second derivative of 4*d**5 + 12 - u + d wrt d.
80*d**3
Let j(x) = -x**2 + 19*x - 34. Let s be j(17). What is the third derivative of s*r**3 + r**3 - 95*r**2 + 116*r**2 wrt r?
6
What is the third derivative of 488*r**3 - 1401*r**3 + 35*r**2 + 252*r**3 + 321*r**3 wrt r?
-2040
Let l(i) = 11*i**3 - 16*i. Let m(p) be the third derivative of p**6/20 - p**4/3 - 5*p**2. Let x(j) = -4*l(j) + 7*m(j). Find the second derivative of x(r) wrt r.
-12*r
Let q(n) be the third derivative of 1/8*n**6 + 0 - 23*n**2 - 6*n**3 + 0*n + 0*n**4 + 0*n**5. Differentiate q(y) wrt y.
45*y**2
Let k(j) = -12 - j + 25 - 4*j**2 - 13. Let x(l) = -3*l**2 + 2*l + 6*l**2 - 3*l + 3*l. Let y(r) = -4*k(r) - 5*x(r). Find the second derivative of y(n) wrt n.
2
Let a(x) be the third derivative of 35*x**6/24 - x**5/30 + 73*x**4/24 + 2*x**2 - 56. What is the third derivative of a(w) wrt w?
1050
Let a be 38/475 - (-240)/125. Let j(i) be the first derivative of -2 - 5*i + 9/2*i**a. Find the first derivative of j(s) wrt s.
9
Let k(l) = -2*l**2 - l - 2. Let i(p) = 223*p**2 + 6*p + 71. Let y(z) = -i(z) - 6*k(z). What is the derivative of y(r) wrt r?
-422*r
Suppose 21 - 1 = 5*y. Differentiate -11*g**y - g**4 + 10*g - 10*g + 13 with respect to g.
-48*g**3
Let p(t) = t + 1. Suppose -24 = 6*d - 30. Let o(z) = 4 - 4*z - z + 4*z. Let v(y) = d*o(y) - 5*p(y). Find the first derivative of v(l) wrt l.
-6
Let u = -9 + 18. Suppose -6*n - 5*z + u = -4*n, -3*n + 5*z + 26 = 0. Find the third derivative of n*w**3 - 9*w**4 - 9*w**2 - 7*w**3 wrt w.
-216*w
Suppose 3*v - 15 = -5*o, -v - 3*v + 4 = 4*o. What is the second derivative of 16*a**4 + 10*a + a**4 - o*a**4 wrt a?
132*a**2
Let b(x) = 2*x**5 - x**2 + 1. Let w(g) = 18*g**5 + 4*g**4 + 81*g**2 + 2. Let d(h) = -2*b(h) + w(h). What is the third derivative of d(s) wrt s?
840*s**2 + 96*s
Let w(i) be the first derivative of i**5/5 - 6*i**4 - 40*i**3/3 + 81. What is the third derivative of w(l) wrt l?
24*l - 144
Let p(y) = 8*y**2 - 13*y + 4. Let b = -43 + 47. Let q(w) = -17*w**2 + 27*w - 9. Let g(n) = b*q(n) + 9*p(n). What is the second derivative of g(x) wrt x?
8
Suppose 3*b + 4*x = 10, -7 = -b + 5*x + 9. What is the derivative of -3*q**4 - 3 - b*q**4 + 11 wrt q?
-36*q**3
Let i(c) = -c**2 + 12*c + 16. Let q be i(13). Find the third derivative of 82*w**5 + w**3 + 31*w**2 - 44*w**5 - w**q wrt w.
2280*w**2
Let y(v) = 37*v**3 + 18*v**2 + 4*v - 3. Let z(q) = q**3 + q**2 + q - 3. Let h(k) = y(k) - z(k). What is the third derivative of h(o) wrt o?
216
Let x(b) = -b**3 + 2*b**2 + b. Let u = -14 - -13. Let s be x(u). Find the second derivative of -3*f + 2*f**4 + s*f + 0*f**4 wrt f.
24*f**2
Let a(m) be the third derivative of 5*m**4/6 + 28*m**3/3 + m**2 + 5*m. Differentiate a(y) with respect to y.
20
Suppose 5*t - 378 = -2*z, -t + 4*z - 2*z = -78. Find the third derivative of -4*g**2 + 76*g - 3*g**5 - t*g wrt g.
-180*g**2
Let l be (1 - (-44)/(-36))/(28/(-231)). Let y(a) be the third derivative of l*a**3 + 1/12*a**4 + 0*a + 5*a**2 + 0. What is the derivative of y(o) wrt o?
2
Suppose 2*u = -2*f + 12, 4*f - 11 = -u + 7. Find the third derivative of 63*t**4 + 70*t**f - 111*t**4 + 23*t**2 wrt t.
528*t
What is the third derivative of 27 + 32 - 4*f**2 - 55 - 85*f**6 wrt f?
-10200*f**3
Let n(k) be the third derivative o