e second derivative of 49*m**2 + 45*m**2 - 2*m + 5*m - 31*m**2 wrt m?
126
Let i(v) = 46*v**4 + 10*v**2 + 46*v + 1242. Let r(l) = 23*l**4 + 4*l**2 + 22*l + 621. Let k(c) = 2*i(c) - 5*r(c). Differentiate k(b) wrt b.
-92*b**3 - 18
Suppose -5*g = -4*x - 16, -2*x = 4*g - 5*x - 13. Differentiate 12 + 6*h + g*h - 2 - 3*h wrt h.
7
Find the second derivative of -39*p - 11*p**4 - 45*p - 29*p - 2 + 325*p**4 wrt p.
3768*p**2
Suppose -12 = 2*s - 6*s. Suppose 5*y = -3 + 13, s*y = -2*x + 16. Find the second derivative of 3*h - 10*h**2 + 4*h**2 + x*h**2 wrt h.
-2
Let a(i) be the second derivative of -i**8/1680 - 7*i**4/8 - i**3 + 13*i. Let p(c) be the second derivative of a(c). Differentiate p(f) with respect to f.
-4*f**3
Let g(c) = 75*c**4 - 22*c**3 - 16*c**2 - 4064. Let f(x) = -15*x**4 + 4*x**3 + 3*x**2 + 813. Let w(v) = 11*f(v) + 2*g(v). Differentiate w(b) wrt b.
-60*b**3 + 2*b
Let r be (-118)/(-7) + 10/70. Differentiate -12*z**4 - r + 9*z**4 + 11*z**4 - 2 with respect to z.
32*z**3
Let j(k) = -13*k - 3. Let s(p) be the first derivative of -10*p**2 + 2*p**2 - 5 + 2*p**2 - 2*p + 16. Let h(f) = 6*j(f) - 7*s(f). Differentiate h(w) wrt w.
6
Let j = 12 + -19. Let g = -4 - j. Find the third derivative of -d**2 - 6*d**g - 4*d**2 + 11*d**3 wrt d.
30
Let v(y) = -y**3 - y + 1. Let w(r) = -2*r**6 - 13*r**5 + 3*r**3 + 97*r**2 + 3*r - 3. Let z(n) = 3*v(n) + w(n). What is the third derivative of z(g) wrt g?
-240*g**3 - 780*g**2
Let z = -40 - -193. Let x = z + -103. Find the second derivative of 51*f**5 + f + 3*f**2 - 3*f**2 - x*f**5 wrt f.
20*f**3
What is the derivative of 15 + 15 - 3*u + u**3 + 18 + 45*u**3 wrt u?
138*u**2 - 3
Let o be 5*((-4)/20 + 1). What is the third derivative of -13*a**2 - 131*a**3 + 131*a**3 - 8*a**4 + 23*a**o wrt a?
360*a
Let j(k) = -12*k**3 + k**2 - 8*k. Let s(b) = 3*b**2 - 2*b**2 - 2*b**2 - b**3. Let q(t) = j(t) + s(t). Find the second derivative of q(h) wrt h.
-78*h
Let q(c) be the first derivative of -c**3/3 - 287*c**2/2 - 41*c - 4. Differentiate q(t) with respect to t.
-2*t - 287
Let n(d) = d**2 - d. Let y(v) be the third derivative of 2*v**5/15 - v**4/6 + 11*v**3/6 + v**2. Let i(q) = 4*n(q) - y(q). Differentiate i(g) with respect to g.
-8*g
Find the third derivative of -138*w**6 - 148021*w**3 + 4*w**2 + 148021*w**3 + 29 wrt w.
-16560*w**3
Let c(z) = -38*z - 10. Let x(b) = 2*b + 1. Let i(d) = -c(d) + x(d). What is the derivative of i(v) wrt v?
40
Let y(i) = i**6 - i**3 - i. Let u(m) = 8*m**6 + 112*m**5 - 5*m**3 + 12*m**2 - 7*m. Let k(t) = u(t) - 5*y(t). What is the third derivative of k(q) wrt q?
360*q**3 + 6720*q**2
Let w(a) be the second derivative of -29*a**9/15120 + 11*a**5/120 + 7*a**4/6 + 7*a + 2. Let z(q) be the third derivative of w(q). Differentiate z(l) wrt l.
-116*l**3
Let r(t) = 40*t**3 + 15*t**2 + 4*t. Let o(y) = 38*y**3 + 18*y**2 + 5*y - 1. Let j(b) = -4*o(b) + 5*r(b). Find the third derivative of j(s) wrt s.
288
Let k be -4*(-3)/12 + -1. Suppose k = -5*w + 11 + 19. What is the third derivative of 3*g**5 + 4*g**2 + 14*g**5 - w*g**2 - 7*g**5 wrt g?
600*g**2
Let i(z) = -z**3 - 4*z**2 - 2*z - 6. Let t be i(-4). What is the first derivative of 2*u**t + 20 - 27 + 3*u - 17 - 19 wrt u?
4*u + 3
Suppose -r = -3*r + 4. Suppose l + 15 = r*k + 6, 3 = -k - l. What is the derivative of 5*o**3 - k*o - 1 + o + o wrt o?
15*o**2
Let h(l) = l**4 + l**2. Let a(j) = -5*j**4 - 2*j**4 + 2*j**2 - 3 - 1 - j**4. Let g(c) = a(c) - 2*h(c). What is the derivative of g(m) wrt m?
-40*m**3
Let n(l) = -19*l**3 + 5*l**2 + 18*l + 430. Let g(w) = -16*w**3 + 4*w**2 + 16*w + 428. Let h(p) = 5*g(p) - 4*n(p). What is the derivative of h(f) wrt f?
-12*f**2 + 8
Let c(z) = -88*z**2 - 3. Let p(y) = 176*y**2 + 6. Let s(u) = 5*c(u) + 2*p(u). Differentiate s(d) wrt d.
-176*d
Let i(l) be the first derivative of -2*l**7/105 - l**4/24 - 6*l**2 + 9. Let u(v) be the second derivative of i(v). Find the second derivative of u(x) wrt x.
-48*x**2
Find the third derivative of -29*u**2 - 98*u**4 - 36 + 11*u**2 - 105*u**4 + 17*u**2 wrt u.
-4872*u
Let j(g) = -g**3 - 14*g**2 - 23*g + 4. Let v be j(-13). Find the second derivative of -v*n**3 - n + 86*n**3 + 70*n**3 wrt n.
132*n
Suppose 3*v = -0*v + 5*g - 2, -3*g - 60 = 5*v. Let f = -6 - v. Find the second derivative of 6*b**3 + 4*b**3 - 7*b**3 + 2*b**f - 2*b wrt b.
30*b
Suppose 6*w - 104 = -38. Suppose -f + 15 = w. What is the third derivative of 2*s**2 - 9*s**3 + 0*s**2 + 5*s**2 - f*s**2 wrt s?
-54
Let p(z) be the third derivative of z**8/336 + z**4/6 - z**3/6 - 13*z**2. Let f(d) be the first derivative of p(d). What is the derivative of f(n) wrt n?
20*n**3
Let k(i) = -i**2 - i - 2. Let w(l) = -4*l**3 + 5*l**2 - 2*l - 127. Let v(y) = 2*k(y) - w(y). Find the first derivative of v(n) wrt n.
12*n**2 - 14*n
Suppose l + 2 - 8 = 0. What is the second derivative of 8 - 2 + 9*n - 6 - l*n**5 wrt n?
-120*n**3
Let j(d) = 3*d**2 + 5*d - 10. Let n be j(-5). Suppose -u = -5*b - n, -2*u + 3*b - 6*b + 54 = 0. Differentiate u*k**4 - 8*k**4 - 14*k**4 + 14 wrt k.
32*k**3
Let m be (12/10)/((-8)/(-40)). Let q = -59 + 63. Differentiate m*p + 2*p - q + p with respect to p.
9
Let a(c) be the first derivative of 641*c**7/7 - 4*c**3 - 16*c + 590. What is the third derivative of a(o) wrt o?
76920*o**3
Let d(r) = -2*r - 2. Suppose -2*f - 3*f = -10. Let w(g) = g**2 + 4*g + 5. Let h(y) = f*w(y) + 5*d(y). What is the second derivative of h(c) wrt c?
4
Let b(g) be the first derivative of -101*g**5/5 - g**3/3 + 131*g - 72. Find the third derivative of b(m) wrt m.
-2424*m
Let v(a) be the third derivative of -19*a**6/24 - 8*a**3 - 51*a**2. Differentiate v(l) with respect to l.
-285*l**2
Let o be 11/(726/(-12)) - (-8)/44. Let v(a) be the second derivative of o - 1/2*a**2 + 7*a + 7/6*a**3. What is the first derivative of v(l) wrt l?
7
Let m(k) be the second derivative of 101*k**7/14 - 2*k**3 + 13*k**2/2 - 50*k + 1. Find the second derivative of m(n) wrt n.
6060*n**3
What is the second derivative of -62*b - 6*b**3 + 4*b**2 + 61*b + 202*b wrt b?
-36*b + 8
Let y(g) = g**4 + 2*g - 1. Let d(m) = 27*m**4 + 3*m**2 - 3*m + 2. Let s(j) = d(j) + 2*y(j). Find the second derivative of s(v) wrt v.
348*v**2 + 6
Let q(k) be the third derivative of -31*k**6/120 + 55*k**4/24 + k**3/6 + 25*k**2. Find the second derivative of q(m) wrt m.
-186*m
Find the third derivative of -408*a**2 + 198*a**4 + 8*a**3 - 48*a**2 + 3*a**3 - 219*a**4 wrt a.
-504*a + 66
Let y(c) = 2*c**2 + 3*c + 3. Let v be y(-2). What is the second derivative of 15*n**5 + 13*n**5 - 4*n**v - 23*n wrt n?
480*n**3
Let n(j) be the third derivative of 61*j**5/30 - j**4/6 + j**3/3 + 66*j**2. What is the second derivative of n(q) wrt q?
244
Let n(s) = 10*s + 2. Let l(d) = 21*d + 5. Let c be (8 + -11)/((-3)/(-7)). Let q(h) = c*n(h) + 3*l(h). What is the derivative of q(k) wrt k?
-7
Let j(m) = -m**3 - 2*m + 1. Let x(b) = -45*b**3 + 5*b**2 - b + 1. Let l(q) = 3*j(q) - 3*x(q). What is the third derivative of l(r) wrt r?
792
Let t(o) be the third derivative of o**6/120 + 53*o**5/30 + 11*o**4/2 + 563*o**2. Find the second derivative of t(z) wrt z.
6*z + 212
Let k(t) be the second derivative of -7*t**5/60 - 13*t**3/6 + 7*t**2/2 + 6*t. Let b(o) be the first derivative of k(o). What is the derivative of b(x) wrt x?
-14*x
Let r(w) = 15*w + 5. Let f(o) = -14*o - 5. Let y be (4 + -16 + -2)*(-2)/7. Let g(d) = y*f(d) + 3*r(d). Differentiate g(u) wrt u.
-11
What is the second derivative of -30*n**2 - 32*n**2 - 60*n + 63*n wrt n?
-124
Suppose 50 - 8 = 7*i. Differentiate -i - 9 - 19*k**3 - 1 with respect to k.
-57*k**2
Let n(m) be the first derivative of m**6/3 - 46*m**5/5 + 9*m**3 - m**2/2 + 61. What is the third derivative of n(h) wrt h?
120*h**2 - 1104*h
Let n(q) be the second derivative of 3/2*q**2 + 8*q + 7/12*q**4 + 0 + 0*q**3. What is the derivative of n(t) wrt t?
14*t
Let i(r) be the first derivative of 230*r**6/3 + 505*r**2/2 - 329. Find the second derivative of i(k) wrt k.
9200*k**3
Let q = -24 + 33. Suppose 0 = 4*w + q - 21. Differentiate -4 + 3*i**2 - w*i**2 - 4*i**2 - 5 with respect to i.
-8*i
Suppose -16*a + 4 = -14*a. What is the third derivative of -18*p**a + 3*p**2 - 10*p**3 - 4*p**2 wrt p?
-60
Let s = 25 + -23. Find the third derivative of 9*d**3 - 12*d**2 + 18*d**3 - 7*d**s - 40*d**3 wrt d.
-78
Let x be 80/(-6)*132/(-110). Fi