e b(p) with respect to p.
688*p**3
Let y be (-3)/12 - 9/(-4). Let f be (-1)/(-1*y/8). What is the second derivative of -41*p + p**4 + 36*p + 0*p**f wrt p?
12*p**2
Suppose -6*m = -40 + 10. What is the second derivative of 7*r**5 - 23*r**m + 7*r**5 - 9*r**5 - 9*r wrt r?
-360*r**3
Suppose -31 = -5*b - 2*v, v = -4*b + 3*v + 14. Let a be -1 + -1 + -1 + b. Find the second derivative of 4*d**4 + 6*d**4 - d + 2*d - a*d**4 wrt d.
96*d**2
Let d be (3 - 5) + 7 + -2. Let g be 4 - (-2 - 8/(-2)). What is the third derivative of q**g + 12*q**2 - q**d - 4*q**2 wrt q?
-6
What is the third derivative of -2645*m**3 + 25 - 231*m**5 + m**2 + 2645*m**3 wrt m?
-13860*m**2
Let g(c) = -91*c**3 + 20*c**2 - 21*c - 10. Let h(p) = 137*p**3 - 29*p**2 + 32*p + 14. Let z(n) = -7*g(n) - 5*h(n). What is the third derivative of z(t) wrt t?
-288
Let c(h) = -322*h**3 - 15*h**2 - 3*h + 3. Let m(w) = 322*w**3 + 13*w**2 + 2*w - 2. Let s(j) = 2*c(j) + 3*m(j). Find the third derivative of s(r) wrt r.
1932
Suppose 3*s - 6*s = -12. Find the third derivative of 19*h**4 + 18*h**2 - 5*h**2 - 4*h**s wrt h.
360*h
Let q(k) be the third derivative of k**8/168 - k**5 + 25*k**4/3 - 227*k**2. Find the second derivative of q(n) wrt n.
40*n**3 - 120
Find the second derivative of 16*q + 123*q**3 + 3*q + 7*q**4 - 122*q**3 + 1 wrt q.
84*q**2 + 6*q
Let h be (-2 - (-1 - -1))/((-2)/6). What is the third derivative of 25*m**2 - 58*m**3 - 8*m**h + 58*m**3 wrt m?
-960*m**3
Let i(d) be the second derivative of 0*d**2 - 1/4*d**5 + 31/12*d**4 + 0*d**3 + 0 + 24*d. What is the third derivative of i(o) wrt o?
-30
Let g(z) be the second derivative of 0*z**3 - 5/4*z**4 + 1/20*z**5 + 0 + z + 0*z**2. Find the third derivative of g(h) wrt h.
6
Let z = 11 + -8. Let i be (-3)/(6/4)*z. Let b(g) = -10*g + 15. Let d(p) = 5*p - 7. Let s(m) = i*b(m) - 13*d(m). What is the first derivative of s(a) wrt a?
-5
Let f(k) be the third derivative of -79*k**6/60 - k**5/30 - 59*k**4/8 + 304*k**2. What is the third derivative of f(o) wrt o?
-948
Let j(m) be the third derivative of 46*m**7/105 - m**5/60 + 187*m**3/6 + 170*m**2. What is the first derivative of j(f) wrt f?
368*f**3 - 2*f
Let p(f) = -87*f**2 + 86*f**2 + f**3 - 2*f + f. Let b(o) = -9*o**3 + 5*o**2. Let g(j) = 2*b(j) + 10*p(j). Find the second derivative of g(l) wrt l.
-48*l
Suppose k + f = -k + 7, -5*k + 3*f + 34 = 0. What is the third derivative of -8*c**2 + 42*c**5 + 14*c**6 - 42*c**k + 0*c**2 wrt c?
1680*c**3
What is the third derivative of -129*q**3 - 68*q**2 - 83*q**2 + 66*q**6 + 129*q**3 wrt q?
7920*q**3
Suppose 2*f - 3 - 5 = 0. Suppose -11 = f*s - 3, 20 = 5*m - 5*s. What is the third derivative of 4*n**4 + 0*n**2 + 2*n**4 + 6*n**m wrt n?
144*n
Let p(z) be the second derivative of 1/2*z**4 - 1/10*z**5 + 0*z**2 + 3*z + 0 + 0*z**3. Find the third derivative of p(i) wrt i.
-12
Let o(h) be the second derivative of 103*h**6/15 + 2*h**3/3 + 2*h**2 - h + 50. What is the second derivative of o(x) wrt x?
2472*x**2
Let t be (2/(-3))/(2/(-6)). Suppose -t*z - z + 42 = 0. What is the second derivative of z*w - 5*w - 2*w**4 - 2*w - 6*w**4 wrt w?
-96*w**2
Let k(j) be the first derivative of 52*j**6/3 + 2*j**5/5 - 4*j**3 - 8*j**2 + 543. Find the third derivative of k(l) wrt l.
6240*l**2 + 48*l
Let p(f) be the third derivative of -23*f**5/30 - 5*f**4/8 + f**3/2 - f**2 + 35*f. Find the second derivative of p(u) wrt u.
-92
Let n(u) be the second derivative of -81*u**5/5 + 2*u**3/3 - 3*u**2/2 + 2*u + 50. Find the second derivative of n(c) wrt c.
-1944*c
Let q = 5 - 5. Suppose q + 40 = x - 2*i, -x + 40 = 4*i. Find the third derivative of -x*d**4 + d**5 + 6*d**2 + 40*d**4 wrt d.
60*d**2
Let s = 50 - 46. Let u(q) = 0*q - q**2 - q - 4*q**2. Let f(x) = x**2 + x. Let z(r) = s*f(r) + u(r). What is the second derivative of z(d) wrt d?
-2
Let i(m) be the second derivative of -m**9/7560 + m**7/180 - m**4/4 + 8*m. Let p(r) be the third derivative of i(r). Find the third derivative of p(l) wrt l.
-48*l
Let l(u) = -567*u**3 + 12*u**2 - 3*u + 509. Let o(s) = 4*s**2 - s + 3. Let k(r) = l(r) - 3*o(r). Differentiate k(w) with respect to w.
-1701*w**2
Let j(d) be the third derivative of -7/2*d**3 + 3/40*d**6 + 0*d**5 + 0 + 0*d + 0*d**4 + 7*d**2. Differentiate j(g) wrt g.
27*g**2
Suppose -15 = -5*s, 4*b - 14 = -2*s + 16. Suppose 16 = 5*a + b. What is the third derivative of 0*h**2 + 4*h**a + 2*h**6 - 3*h**6 - 3*h**6 wrt h?
-480*h**3
Let a(n) be the third derivative of -n**7/105 - 37*n**5/60 + 6*n**3 + 55*n**2 + 2*n. Differentiate a(x) with respect to x.
-8*x**3 - 74*x
Suppose 3*z = -2*z. What is the second derivative of 8*j + z*j**4 - 5*j**4 + 0*j wrt j?
-60*j**2
Suppose 0*a + 3*a + 18 = 3*h, 5*a + 12 = -h. Suppose -v = -4*v + h*r + 21, -4*r = 20. Find the second derivative of 4*m**2 - 4*m**v + 6*m**5 - 3*m wrt m.
120*m**3
Let m(c) = -c**3 + 8*c**2 - 2*c - 19. Let t be m(7). Find the second derivative of 39*u**5 + 5*u - t - 19 + 35 wrt u.
780*u**3
Let a(m) = 65*m - 167. Let f(d) = 22*d - 56. Let g be (48/40)/(3/10). Let y(h) = g*a(h) - 11*f(h). Differentiate y(j) with respect to j.
18
Let l = -132/5 + 279/10. Let i(n) be the second derivative of -6*n - l*n**2 + 0 + 1/3*n**3. Find the first derivative of i(g) wrt g.
2
Let t be (-4)/(-32) + 1475/40. Let a = t + -23. What is the second derivative of 4*o**3 + a*o - o**3 + 2*o**3 wrt o?
30*o
Let a = 27 + -22. Find the third derivative of -2*z**a - 8*z**2 + 4*z**2 - 8*z**5 wrt z.
-600*z**2
Suppose 3 + 9 = 4*d. What is the second derivative of v**4 - 2*v**4 + d*v + 9*v**4 wrt v?
96*v**2
Let g(f) = -130*f - 237. Let p(s) = 2. Let t(b) = -g(b) + 5*p(b). What is the derivative of t(u) wrt u?
130
Let z(s) = 1303*s**4 + 8*s**3 + 16*s - 1322. Let j(i) = 869*i**4 + 5*i**3 + 10*i - 881. Let b(h) = 8*j(h) - 5*z(h). What is the first derivative of b(c) wrt c?
1748*c**3
Let b(l) be the first derivative of l**6/15 + 8*l**3/3 - 9*l**2 + 14. Let x(h) be the second derivative of b(h). Find the first derivative of x(m) wrt m.
24*m**2
Let y(k) = k**3 + 4*k**2 - 5*k. Let b be y(-5). Let d(z) be the first derivative of 2*z**2 + 3 - 2*z + b*z**2 + z - 2*z. Differentiate d(q) wrt q.
4
Let g(o) be the second derivative of 2*o**6/3 + o**3/3 - 65*o**2 - o - 23. What is the first derivative of g(n) wrt n?
80*n**3 + 2
Let y(w) be the first derivative of -w**7/210 - w**5/12 - w**3 + 4. Let t(m) be the third derivative of y(m). Find the second derivative of t(b) wrt b.
-24*b
Suppose -12 = 3*m - 6*m. Suppose 0 = -4*y + m*h + h - 15, -5*h = -15. What is the derivative of -4*x + y*x + 2 - 2*x + 2 wrt x?
-6
Let o = -166 - -333/2. Let f(b) be the first derivative of 5 - o*b**2 + 7*b. Find the first derivative of f(x) wrt x.
-1
Let c(s) = s**5 + s**2. Let k(o) = -31*o**5 + 4*o**2 + 2*o - 6. Let y(h) = -4*c(h) + k(h). Find the second derivative of y(j) wrt j.
-700*j**3
Find the second derivative of 6*t**3 + 29*t**2 + 19*t - 29*t**2 + t**3 wrt t.
42*t
Let v(n) be the third derivative of -7/12*n**4 + 0 - 6*n**2 + 0*n - 1/6*n**3. Differentiate v(l) wrt l.
-14
Let j(n) = n**3 + 7*n**2 + 3*n - 4. Let d be j(-6). Differentiate -5 + 15 - 4 + d*c wrt c.
14
Suppose -5*p = -m + 41, -2*p - 144 = -3*m - 34. Find the second derivative of 103*x - 43*x - 5*x**5 - m*x wrt x.
-100*x**3
Let f(x) be the first derivative of -8 + 0*x**3 + 0*x - 13*x**2 + 3/2*x**6 + 0*x**4 + 0*x**5. What is the second derivative of f(j) wrt j?
180*j**3
Let v(i) be the second derivative of 3*i**5/5 - i**4/6 - 575*i**2/2 - 53*i + 2. What is the first derivative of v(g) wrt g?
36*g**2 - 4*g
Let y(v) = -15*v**3 - 3*v**2 + v**2 - 2 - v**2 + 24. Let k(w) = -w**3 - w**2. Let l(q) = -3*k(q) + y(q). Find the first derivative of l(g) wrt g.
-36*g**2
Find the third derivative of -22*t**4 + 8 - 51*t**2 - 17*t**3 + 53*t**2 + 23*t**4 - 11*t**3 wrt t.
24*t - 168
Suppose -w + 3 = 1. Suppose -3*z + 0 = -9. What is the first derivative of -z + 4 - 7*q**4 + w*q**4 wrt q?
-20*q**3
Let q(l) be the second derivative of 5*l**4 - 2*l**3/3 + l**2/2 + 26*l. Find the second derivative of q(v) wrt v.
120
Let w(i) = 23*i**4 + i**3 + 4*i**2 + 15*i + 1. Let d(k) = 45*k**4 + 7*k**2 + 31*k + 3. Let p(m) = 4*d(m) - 7*w(m). What is the second derivative of p(n) wrt n?
228*n**2 - 42*n
Let u(q) = q. Let d(a) = -137*a - 148. Let p(s) = d(s) + 4*u(s). Differentiate p(x