- 7, 5*r + 4*m = 1. Suppose 16 - r = 3*h. What is the second derivative of 5*x**3 - h*x**3 + 6*x**3 + 8*x wrt x?
36*x
Let f(k) be the second derivative of -11*k**8/1680 - 3*k**4/8 + 3*k**3/2 - 3*k. Let y(g) be the second derivative of f(g). What is the derivative of y(t) wrt t?
-44*t**3
Let s(r) = r**2 + 2*r - 7. Let i(b) = -b**2 - b + 6. Let w(m) = 5*i(m) + 4*s(m). Let g be w(3). What is the derivative of g*z - 2 + 2 + 2*z + 1 wrt z?
4
Let l be -5*5/(-25)*0. Differentiate -12*i**3 + 0*i + l*i - 3 + 5*i**3 with respect to i.
-21*i**2
Let u = -45 - 21. Let z be 1/(-8) - u/16. Find the third derivative of -29*f**3 - 5*f**z + 10*f**2 + 29*f**3 wrt f.
-120*f
Suppose j - 6*j = -10. Find the second derivative of -12*h - 60*h**2 + 60*h**j + 12*h**3 wrt h.
72*h
What is the first derivative of -118 - 6*g - 37*g**3 - 40 + 6*g + 146*g**3 wrt g?
327*g**2
Let v(g) = 335*g**2 + 17*g - 171. Let z(y) = -56*y**2 - 3*y + 28. Let o(u) = 6*v(u) + 34*z(u). What is the derivative of o(f) wrt f?
212*f
Let f(q) be the first derivative of -q**7/35 - 3*q**4/8 + 3*q**2 + 15. Let w(s) be the second derivative of f(s). Find the second derivative of w(t) wrt t.
-72*t**2
Let j(z) = z**2 - 3*z + 4. Let t be j(-3). Let v be 10/(-55) - (-48)/t. Differentiate -5*c**2 + 5*c**2 + 4*c**2 - v*c**2 - 5 with respect to c.
4*c
Let m(c) = -199*c**2 + 2*c - 64. Let v(o) = -o**2 + o + 3. Let t(r) = -3*m(r) + 6*v(r). Find the first derivative of t(z) wrt z.
1182*z
Let s(v) = -162*v**5 + 8*v**2 + 17*v - 31. Let d(p) = 108*p**5 - 5*p**2 - 11*p + 21. Let x(b) = 8*d(b) + 5*s(b). Find the second derivative of x(q) wrt q.
1080*q**3
Let g(o) = -o**3 - 3*o**2 + 2*o + 10. Let x be g(-3). Let m = 11 - 5. What is the third derivative of -x*h**2 - 21*h**4 + 3*h**m + 21*h**4 wrt h?
360*h**3
Let u(w) = 0*w - w - 8 + w**2 + 14 - 7. Let c(n) = 48*n**2 - 34*n - 8. Let l(r) = -c(r) + 8*u(r). Find the second derivative of l(y) wrt y.
-80
Let d be (-102)/3 - 21/(-7). Let i = d - -39. Find the third derivative of -i*x**4 - 9*x**3 + 9*x**3 - 2*x**2 wrt x.
-192*x
Let a(c) be the first derivative of -20 + 0*c**5 + 25/2*c**2 + 0*c + 9/2*c**6 + 0*c**3 + 0*c**4. Find the second derivative of a(m) wrt m.
540*m**3
Let y(b) be the first derivative of 17*b**6/120 + 13*b**5/60 + 11*b**2 + 18. Let t(h) be the second derivative of y(h). Find the third derivative of t(n) wrt n.
102
Let i(b) = 114*b**2 - 44*b - 246. Let n(y) = -2*y**2 + 4*y. Let h(k) = i(k) + 12*n(k). Differentiate h(s) wrt s.
180*s + 4
Let k(y) = -612*y**4 + 6*y - 62. Let a(u) = -1219*u**4 + 11*u - 126. Let l(b) = -2*a(b) + 5*k(b). Find the second derivative of l(f) wrt f.
-7464*f**2
Let r(v) be the first derivative of 11*v**3/3 - 53*v**2 - 83. What is the second derivative of r(c) wrt c?
22
Let a(p) be the first derivative of -1/3*p**4 - 7/3*p**3 + 8 + 0*p**2 - 3/40*p**5 + 0*p. Let j(c) be the third derivative of a(c). Differentiate j(b) wrt b.
-9
What is the second derivative of -10*x - 5 - 11*x**3 + 51*x**3 - 19*x + 2 wrt x?
240*x
Let u(m) be the second derivative of 14/15*m**6 + 0*m**5 + 0*m**3 + 0*m**4 + 15*m**2 + 34*m + 0. Differentiate u(f) wrt f.
112*f**3
Let q = 7 + -3. What is the third derivative of -10*s**q + 17*s - 32*s + 15*s - 16*s**2 wrt s?
-240*s
Let v(f) = 14*f**2 + 12. Let x(a) = -1. Let k be 65/10 - (-2)/(-4). Let d(m) = k*x(m) + v(m). Find the first derivative of d(r) wrt r.
28*r
Let u(f) be the first derivative of 200*f**3/3 + 10*f**2 - 121. What is the second derivative of u(o) wrt o?
400
Suppose -39 = -3*r + 12*t - 7*t, 0 = -3*r - 4*t + 12. Find the second derivative of 31*s + 13*s**4 + 2*s**4 + r*s**4 wrt s.
276*s**2
Find the third derivative of 13*s**4 - 42*s**5 - s**2 + 123*s**5 - 13*s**4 + 41*s wrt s.
4860*s**2
What is the second derivative of -14*y**4 - 41 - 224646*y**3 + 2*y + y**5 + 224646*y**3 wrt y?
20*y**3 - 168*y**2
Differentiate -112*y**2 + 112*y**2 - 81*y**3 + 87 wrt y.
-243*y**2
Let k be 12/((-2)/(-1)) + (4 - 4). What is the first derivative of -27 + 18 - k + 6*l**4 wrt l?
24*l**3
Let o(u) be the second derivative of -u**6/90 + u**5/40 - u**3/3 - 2*u. Let y(q) be the second derivative of o(q). Find the second derivative of y(i) wrt i.
-8
Let k(z) be the third derivative of -z**5/30 + 23*z**4/12 - 59*z**3/3 + 3*z**2 - 26*z. Differentiate k(r) wrt r.
-4*r + 46
Let j = 3 + 0. Suppose -j*s + 15 = 2*s + k, -25 = -5*s - 3*k. What is the third derivative of -d**6 - 14*d**s + 19*d**2 + 4*d**6 wrt d?
360*d**3
What is the second derivative of -30*m**3 + 105*m + 2178*m**4 - 3*m - 2176*m**4 wrt m?
24*m**2 - 180*m
Let t(p) be the second derivative of -13*p**6/15 + 14*p**4/3 + 4*p. What is the third derivative of t(i) wrt i?
-624*i
Let l(f) be the second derivative of 7*f**5/20 - 2*f**4/3 - 2*f**3/3 + 70*f. What is the second derivative of l(m) wrt m?
42*m - 16
Let q(z) be the first derivative of -2*z**6/15 + z**3 - 3*z + 9. Let k(x) be the first derivative of q(x). Find the second derivative of k(c) wrt c.
-48*c**2
Let a(n) be the first derivative of 2*n**5/5 + 4*n**4 + 39*n**2/2 - 2*n + 528. What is the second derivative of a(k) wrt k?
24*k**2 + 96*k
Let n(d) = -d**4 - d**2 + d - 1. Let c(v) = 4*v**4 - 5*v**2 + 5*v - 20. Let s = -11 - -6. Let r(o) = s*n(o) + c(o). Differentiate r(j) wrt j.
36*j**3
Suppose 3 = g + 2*v, -5 = -g - 4*v - 4. Find the second derivative of -3*r**3 + 24*r + 237*r**g + 3*r**3 - 272*r**5 wrt r.
-700*r**3
Suppose -2*p = -p - 5*l + 1, 3*l = -p + 7. What is the derivative of 14*q**2 - p*q**2 - 19 + 8*q**2 wrt q?
36*q
Let r(o) be the second derivative of -2*o**6/15 + 41*o**3/6 + 232*o**2 + 20*o. Differentiate r(s) wrt s.
-16*s**3 + 41
Let w be 5/(-15)*(1 + 14). Let h be (-4 - w/1)*0. What is the second derivative of h*a**3 - 5*a - 3*a + 3*a + a**3 wrt a?
6*a
Suppose 5 = -3*y + 17. What is the second derivative of -3*u**3 + 3*u**3 + 6*u**3 - 3*u**3 - y*u wrt u?
18*u
Let j(d) be the first derivative of -71*d**6/3 - 155*d**2/2 - 790. What is the second derivative of j(r) wrt r?
-2840*r**3
Let f(r) = -2*r**4 - r + 1. Let t(g) = 10*g**4 + 2*g**2 + 2*g + 174. Let d(m) = -2*f(m) - t(m). Differentiate d(s) with respect to s.
-24*s**3 - 4*s
Suppose -7 = -2*q - l, -3*l = 5*q - 2*l - 19. Differentiate -12 - 8*m**2 - q*m**2 + 5*m**2 wrt m.
-14*m
Let h(f) = 71*f - 345. Let o(y) = 70*y - 346. Let m(v) = 3*h(v) - 4*o(v). Differentiate m(j) wrt j.
-67
Suppose 0 = 5*v - 2*s - 15, -v - 3 = -2*v - 5*s. Suppose 23 = v*a + 5. Differentiate 0*q - q + a*q**2 - 5 + q wrt q.
12*q
Suppose -12*c = -21*c + 261. Find the first derivative of 46 + c + 8*q**2 - 58 + 6*q**2 wrt q.
28*q
Let g(z) = -193*z**2 + 3*z + 236. Let o(b) = -b. Let q(k) = g(k) + 3*o(k). Find the first derivative of q(f) wrt f.
-386*f
Let x(m) = -5*m**3 - 8*m**2 + 2*m - 8. Let z(u) = -6*u**3 - 7*u**2 + 2*u - 8. Let r(w) = -4*x(w) + 5*z(w). Find the second derivative of r(f) wrt f.
-60*f - 6
Let n(v) be the first derivative of v**4/2 + 38*v**3/3 + 333*v**2/2 - 211. Find the second derivative of n(k) wrt k.
12*k + 76
Let v(y) = 3*y**3 - 87*y**2 - 3*y. Let a(l) = 3*l**3 - 88*l**2 - 4*l. Let w(g) = 3*a(g) - 4*v(g). Find the third derivative of w(p) wrt p.
-18
Let s(t) = 36*t**3 + 80*t**2 + 7*t - 71. Let y(z) = -12*z**3 - 26*z**2 - 2*z + 24. Let a(m) = -2*s(m) - 7*y(m). What is the derivative of a(o) wrt o?
36*o**2 + 44*o
Suppose -37*u = -81 + 7. Let w(c) be the third derivative of 0*c + 1/12*c**4 - 6*c**u + c**3 + 0. What is the derivative of w(v) wrt v?
2
Let t(n) be the second derivative of -4*n**7/35 - 19*n**3/3 - 43*n**2/2 - 46*n. Let m(b) be the first derivative of t(b). Differentiate m(s) with respect to s.
-96*s**3
Let n = -44 + 46. Find the second derivative of 11*k**5 - n*k - 38*k**5 + 7*k wrt k.
-540*k**3
Find the third derivative of 36*y**2 + 35*y + 224*y**3 + 49*y - 84*y + 44*y**2 wrt y.
1344
Let m be (-15)/10 - (-18)/4. Let f(l) be the third derivative of 0 + 0*l + 9*l**2 + 0*l**m + 1/10*l**5 + 5/24*l**4. Find the second derivative of f(q) wrt q.
12
What is the second derivative of -192*o**3 - 11*o**4 + 29*o + 377*o**3 - 189*o**3 wrt o?
-132*o**2 - 24*o
Let v(a) be the first derivative of 14*a**5/5 + 13*a**4/2 + 165*a + 42. Differentiate v(s) wrt s.
56*s**3 + 78*s**2
Differentiate -87*s - 54*s - 189 + 274*s wrt s.
133
Let i(q) be the second derivative of 0*q