(i). What is the first derivative of m(g) wrt g?
-6*g + 37
Suppose 2*c - u = 2*u + 12, -5*c + u = -4. Let f(j) be the first derivative of 5 + 0*j**2 + j + c*j**2 - 5*j - 2*j**2. Find the first derivative of f(h) wrt h.
-4
Suppose -3*n + 34 = 13. Let u(w) = -4*w**2 + 7*w - 3. Let h(d) = -3*d**2 + 5*d - 2. Let m(i) = n*h(i) - 5*u(i). What is the derivative of m(j) wrt j?
-2*j
Let l = -150 + 153. Let z(b) be the third derivative of 2/3*b**l + 5*b**2 + 0*b - 1/6*b**4 + 0. Differentiate z(t) with respect to t.
-4
Let l(b) = -b**2 - 5*b + 2. Let u be l(-5). Differentiate 2*k**u + 4*k**2 + 3*k**2 - 1 wrt k.
18*k
What is the derivative of -20*l - 2*l**3 - 322*l**2 - 111 + 20*l + 334*l**2 wrt l?
-6*l**2 + 24*l
What is the third derivative of 10*z**2 + 8*z**2 - 18*z**2 + 68*z**4 + 18*z**2 wrt z?
1632*z
Let j(n) be the third derivative of -29*n**6/120 - 31*n**4/24 + 14*n**2. Let i(c) = c**3. Let g(a) = 4*i(a) - j(a). Find the second derivative of g(p) wrt p.
198*p
Let p(x) = 286*x - 397. Let n(k) = -5*k. Let j(l) = 3*n(l) + p(l). What is the first derivative of j(s) wrt s?
271
Let y = 17 - 12. Suppose 3*l - y = 3*u + 4, 3*l + 4*u = -12. What is the second derivative of l*n**2 + 5*n**2 - 7*n**4 + 6*n - 5*n**2 wrt n?
-84*n**2
What is the third derivative of -r**3 + r**5 - 82*r**2 + 2*r**3 + 50*r**2 - 33*r**3 wrt r?
60*r**2 - 192
What is the third derivative of 3*o**5 + 0*o**3 + 3*o**3 + 28 + o**2 + 13 + 6*o**5 wrt o?
540*o**2 + 18
What is the second derivative of -10*p**2 - 200*p + 107*p**2 + 228*p**2 + 121*p**2 + p**2 wrt p?
894
Let r(z) = -z - 1. Let h = -9 - -6. Let d be r(h). What is the third derivative of -2*n**2 + n**5 + d*n**5 - 6*n**5 wrt n?
-180*n**2
Let p(x) = -x**2 - 7*x - 7. Let g be p(-5). Suppose 5*a - 5*w = 5, 2*a - g*w = 2*w - 1. Differentiate 0 - r**2 + 9 - r**a - 1 wrt r.
-4*r
Differentiate -447 + 276*c + 359*c + 565 + 101 + 683 with respect to c.
635
Let l be (-30)/12 - -5 - (-2)/4. Differentiate 488*d - 488*d + 5*d**3 - l*d**3 - 7 wrt d.
6*d**2
Let f(l) = 12*l**3 - 4*l**2 + 12*l - 170. Let g(u) = 35*u**3 - 11*u**2 + 34*u - 510. Let m(b) = -11*f(b) + 4*g(b). Differentiate m(j) wrt j.
24*j**2 + 4
Let j(v) = -v**3 - v**2 + v - 2. Let z(l) = -416*l**4 - 2*l**2 + 199*l - 4. Let t(o) = -2*j(o) + z(o). Find the second derivative of t(q) wrt q.
-4992*q**2 + 12*q
Let d be (-2)/2 + 225/50. Let z(i) be the first derivative of -d*i**2 + 5/4*i**4 + 2 + 0*i**3 + 0*i. Find the second derivative of z(c) wrt c.
30*c
Let y(d) be the second derivative of -7*d**3 - 39*d**2/2 + 2*d + 69. Differentiate y(j) with respect to j.
-42
Let h(q) = -q - 1. Let z(n) = -n**3 + 2*n**2 + n + 7. Let k be z(3). Let i(r) = -3*r - 39. Let d(c) = k*h(c) + i(c). Differentiate d(t) wrt t.
-4
Suppose 4*g + 2*t - 30 = 0, 3*g + t - 2*t = 15. Suppose 0 = -l + g - 3. Find the second derivative of -4*n + 12*n**5 - 8*n + l*n wrt n.
240*n**3
Let q(p) be the third derivative of 127*p**6/120 + 191*p**3/6 - 276*p**2 + 2. What is the derivative of q(c) wrt c?
381*c**2
Let l = -17 + 19. What is the third derivative of 17*o**2 - 12*o**2 + 28*o**l - 2*o**6 - 6*o**2 wrt o?
-240*o**3
Let r(u) = 2*u + 1. Let j be r(3). Suppose 0 = 3*y - j*y + 16. Find the third derivative of -3*p**4 + 6*p**4 + 3*p**y + 8*p**2 wrt p.
144*p
Let f be (1 + 5)*(8 - 124/16). Let z(o) be the first derivative of 0*o**3 + 0*o**4 + f*o**2 + 0*o - 2/5*o**5 + 5. What is the second derivative of z(y) wrt y?
-24*y**2
Let t = -7 + 7. Suppose -4*f + f + d + 4 = t, 5*f + 5*d - 40 = 0. What is the derivative of 5*b**f - 10 + 4 + 0*b**3 wrt b?
15*b**2
Let x(a) = -a**3 - 4*a**2. Let y be 3 - 21/(-6)*-2. Let i be x(y). Find the third derivative of 6*l**4 + i*l**2 - 2*l**4 - 3*l**4 + 6*l**2 wrt l.
24*l
Suppose 3*q = -0*q + 2*t + 46, 3*q + 4*t - 70 = 0. Find the first derivative of -g**4 - 39 - 9*g**3 - 2*g**4 + 5 - q wrt g.
-12*g**3 - 27*g**2
Let y(s) = 86*s - 92. Let g(k) = -43*k + 48. Let o(a) = -10*g(a) - 6*y(a). What is the derivative of o(t) wrt t?
-86
Let b(r) be the third derivative of r**8/1344 + 7*r**6/720 + r**5/30 + 2*r**2. Let f(v) be the third derivative of b(v). Differentiate f(a) wrt a.
30*a
Let f(o) = 272*o**3 - 5*o**2 + 126*o + 6. Let m(r) = 546*r**3 - 9*r**2 + 251*r + 11. Let z(s) = 11*f(s) - 6*m(s). Find the third derivative of z(j) wrt j.
-1704
Let y be 58/4*(6 - 4). Suppose y = 4*m - 19. Differentiate m*g - 7 - 12*g + 8*g**3 with respect to g.
24*g**2
Let x(j) be the second derivative of -19/6*j**3 + 0*j**2 + 0*j**5 + 0*j**4 + 0 - 32*j - 11/30*j**6. Find the second derivative of x(u) wrt u.
-132*u**2
Let x(h) be the third derivative of -79*h**9/504 - 29*h**5/60 + h**3/3 + 75*h**2. What is the third derivative of x(l) wrt l?
-9480*l**3
Suppose 4*u - r - 5 = 6, 2*u - 4*r + 12 = 0. Differentiate 5*c**u - 133 + 124 + 8*c**4 wrt c.
52*c**3
What is the derivative of -47*h + 10*h - 2*h - 71*h + 5*h - 21 wrt h?
-105
Find the second derivative of 0*m + 3*m + 70 - m**2 + 57 - 2344*m**3 + 2493*m**3 wrt m.
894*m - 2
Let p(z) be the third derivative of z**9/56 - z**7/70 - 29*z**5/30 + z**4/12 - 3*z**2 + 5*z. What is the third derivative of p(i) wrt i?
1080*i**3 - 72*i
Let s(v) = -10*v**3 - 16*v**2 - 7. Let w(o) = 3*o**3 + 5*o**2 + 2. Suppose 9 + 5 = -t. Let q(r) = t*w(r) - 4*s(r). Find the third derivative of q(z) wrt z.
-12
Let t(u) be the second derivative of -12*u**2 + 0 + 0*u**3 + 1/4*u**4 - 12*u. Differentiate t(k) with respect to k.
6*k
Let d(w) = -2*w + 6. Let p be d(-6). What is the derivative of -m**3 + m**3 + 7*m**3 + p - 10 wrt m?
21*m**2
Let z(x) be the third derivative of -893*x**6/120 - 11*x**5/30 + x**4/2 - 201*x**2. What is the third derivative of z(b) wrt b?
-5358
Let t(o) be the first derivative of 0*o**3 + 0*o**2 - 20*o + 20 + 25/4*o**4. What is the derivative of t(c) wrt c?
75*c**2
Suppose 0 = -7*a + 2*a, 0 = 4*l - 3*a - 12. Find the second derivative of 47*r**3 - 41*r**5 + 10*r - 47*r**l wrt r.
-820*r**3
Find the first derivative of -44 - b**3 - 70*b**2 + 3*b**3 - 3*b**3 + 76*b**2 wrt b.
-3*b**2 + 12*b
Let m(c) = -c**3 - 8*c**2 - c. Let v be m(-8). Let u be 4/v - 52/(-8). Find the second derivative of 9*p**3 - 18*p**3 + 3*p + 13*p**3 - u*p wrt p.
24*p
Let g(f) = -43*f**2 + 10*f - 637. Let l(s) = -68*s**2 + 15*s - 955. Let c(t) = 8*g(t) - 5*l(t). What is the derivative of c(w) wrt w?
-8*w + 5
Let b = 24 - 8. Let z be 52/b + 3/4. Differentiate 0*x**4 - 8*x**z + 7 - 6*x + 6*x with respect to x.
-32*x**3
Let r(x) be the second derivative of 14*x**6/15 + x**4/2 - x**3/6 - 62*x. What is the third derivative of r(t) wrt t?
672*t
Let r be 14/6 + 2/(-6). What is the derivative of 2*g**2 + 32*g**4 - 2*g**r - 11*g**4 + 4 wrt g?
84*g**3
Let p(j) be the second derivative of j**7/21 - 11*j**5/2 - 7*j**4/4 - 2*j**2 - j - 6. What is the third derivative of p(q) wrt q?
120*q**2 - 660
Let x(v) = -3*v**4 - v**3 + v**2 + v + 1. Let y(t) = -351*t**4 - 4*t**3 + 4*t**2 - 22*t + 8. Let g(m) = 4*x(m) - y(m). Find the second derivative of g(h) wrt h.
4068*h**2
Let z(b) = -b + 13. Let m be z(9). Suppose 0 = 4*j + 12, -3*d + m*j + 18 = 5*j. Find the second derivative of 15*h - h - 21*h**4 + d*h**4 wrt h.
-168*h**2
Let y(r) be the second derivative of -51*r**5/20 + r**4/6 + r**3/3 + 17*r**2 + 50*r + 1. What is the second derivative of y(j) wrt j?
-306*j + 4
What is the second derivative of 25*p**2 - 217*p + 219*p - 162*p**2 + 28 wrt p?
-274
Let z(i) be the third derivative of -99*i**7/70 - 551*i**5/60 - 38*i**2 - 1. Find the third derivative of z(h) wrt h.
-7128*h
Let s(r) be the first derivative of -4/5*r**5 + 5 + 0*r - 8/3*r**3 + 0*r**2 + 0*r**4. Find the third derivative of s(h) wrt h.
-96*h
Let r(q) = -82*q**5 - 2*q**4 + 84*q. Let c(l) = -83*l**5 - 3*l**4 + l**3 + 85*l. Let j(f) = 2*c(f) - 3*r(f). Find the second derivative of j(o) wrt o.
1600*o**3 + 12*o
Let u(d) = 3*d + 4. Let r be u(-3). Let s = 0 - r. Find the third derivative of 2*x**5 + 3*x**2 + 3*x**s + x**5 - 2*x**5 wrt x.
240*x**2
Let g(j) be the second derivative of -13*j**7/2520 + j**5/40 + 11*j**4/12 - 7*j. Let n(a) be the third derivative of g(a). Differentiate n(c) with respect to c.
-26*c
Let a(f) = -1 - f**2 - 16 - 9*f + 3. Let o = 61 - 70. Let k(j) = 4*j + 7. Let p(d) = o*k(d) - 4*a(d). Find the first derivative of p(s) wrt s.
8*s
Let h(l) = 141*l**2 - 12*