 derivative of 3*h**3/2 + 3*h**2/2 - 2*h. Let u(a) = 1128 + 1138 - 2267 + 4*a - 5*a. Determine p(n) + 3*u(n).
6*n
Let r(d) = -d**2 - d + 1. Let n(y) = 3*y**2 + 1 - 4 + 5*y + 64*y**3 - 63*y**3. Let m(p) = -2*p**3 - 21*p**2 - 27*p + 3. Let a be m(-9). What is a*r(h) + n(h)?
h**3 + 2*h
Let u(r) = 39*r - 13. Let n(w) = -46*w + 16. What is -3*n(a) - 4*u(a)?
-18*a + 4
Let h(j) = -j**3 + 4*j**2 - 133*j + 536. Let v be h(4). Let b(m) = -m**3 + m - 1. Let f(i) = -37*i**3 - i**2 + 2*i - 2. Give v*b(w) - 2*f(w).
70*w**3 + 2*w**2
Let v(h) = -2*h**2 - 5*h - 106. Let s(r) = 5*r**2 + 11*r + 239. Give 4*s(u) + 9*v(u).
2*u**2 - u + 2
Let z(a) = 27*a - 11. Let t(d) = -29*d + 9. Calculate -2*t(p) - 3*z(p).
-23*p + 15
Let t(m) = 23*m**3 + 5*m**2 - 4*m - 5. Let g be (6/45*3)/(((-14)/245)/(-1)). Let k(r) = -35*r**3 - 7*r**2 + 6*r + 7. Calculate g*t(a) + 5*k(a).
-14*a**3 + 2*a
Let p(f) = 203*f + 66. Let v(u) = 202*u + 54. What is -5*p(q) + 6*v(q)?
197*q - 6
Let q(s) = -8*s**2 + 5*s + 7. Suppose 3737*c = 3837*c + 100. Let p(h) = h**2 - h - 1. Calculate c*q(w) - 6*p(w).
2*w**2 + w - 1
Let d(y) = -y - 3. Let s(b) be the second derivative of 0 - 1/6*b**3 + 21*b + 11*b**2. Let j(p) be the first derivative of s(p). Calculate -d(q) + 4*j(q).
q - 1
Let m(h) = -32*h**2 + 3*h - 3. Suppose 477*d - 400 = 239*d + 263*d. Let k(j) = -160*j**2 + 16*j - 16. Give d*m(r) + 3*k(r).
32*r**2
Let c(y) = -2317*y - 34. Let n(b) = -1160*b - 21. Determine -3*c(g) + 5*n(g).
1151*g - 3
Let y(c) = 21*c**2 - 7*c. Let k(b) = 31*b**2 - 10*b. Suppose 0 = 5*a - 2*m + 23, -5*m - 38 = -8. What is a*y(l) + 5*k(l)?
8*l**2 - l
Let t(l) = -23*l - 25. Let a(f) = -f - 10. Give -6*a(n) + t(n).
-17*n + 35
Let p(r) = 52*r**3 + 6*r**2 + 16*r - 2. Let b(w) = -52*w**3 - 2*w**2 - 11*w + 2. Give -3*b(x) - 2*p(x).
52*x**3 - 6*x**2 + x - 2
Let f(b) = -165*b**3 + 5*b**2 + b. Let p(r) = -355*r**3 + 11*r**2 + 3*r. Calculate -5*f(w) + 2*p(w).
115*w**3 - 3*w**2 + w
Let t(k) = 0*k + 6*k**3 + 16*k**2 - 21*k**2 + 0*k. Suppose v + 2*w + 6 = w, 4*v = 3*w - 45. Let m(j) = -3*j**3 + 2*j**2. Determine v*m(c) - 4*t(c).
3*c**3 + 2*c**2
Let h(w) = -6*w - 10. Let q(m) = 538*m - 1603. Let i be q(3). Let s(d) = 12*d + 19. What is i*h(c) + 6*s(c)?
6*c + 4
Suppose 4*t + 6 = -3*r, -9 = 4*r + t - 1. Let k(m) = -22*m**2 - 10*m. Let n(g) = g**2 + g. Calculate r*k(q) - 20*n(q).
24*q**2
Suppose 0 = 5*x + 25 + 30. Let j(u) = -u. Let p(c) = -c**2 + c - 2. Let l be p(1). Let o(b) = -8 - 2 + 18 + 5*b - 9. Give l*o(d) + x*j(d).
d + 2
Let j(s) = -1 + 4*s + 5*s - 2*s - 2*s. Let f(d) = -4*d + 1. Suppose -3 = -16*l - 51. Let a(y) = y + 7. Let q be a(l). Give q*f(w) + 3*j(w).
-w + 1
Suppose 27 - 66 = -3*h. Let d(z) = -z + 7*z + z - h*z. Let s(t) = -13*t. Determine 5*d(u) - 2*s(u).
-4*u
Let u(i) = 4*i**2 + 15*i + 79. Let p(f) = -11*f**2 - 31*f - 160. Give -2*p(y) - 5*u(y).
2*y**2 - 13*y - 75
Let u(n) = -17*n**3 - 4*n**2 + n + 7. Let c(m) = -3*m**3 - m**2 - m + 1. Let g(f) = -4*c(f) + u(f). Let x(d) = 4*d**3 - 4*d - 2. Determine -6*g(k) - 7*x(k).
2*k**3 - 2*k - 4
Let l(c) = 4207*c**2 + 7*c + 7. Let a(i) = 180900*i**2 + 300*i + 300. Calculate 7*a(g) - 300*l(g).
4200*g**2
Let y(n) = 9*n**3 + 4*n**2 + 3*n + 6. Let w(b) be the first derivative of 5*b**4/2 + 5*b**3/3 + 3*b**2/2 + 7*b + 4851. What is 4*w(m) - 5*y(m)?
-5*m**3 - 3*m - 2
Let y(o) = 4*o**2 + 5*o + 5. Let r(a) = -17*a**2 - 4*a - 4 + 12*a**2 + 2*a**2. What is -5*r(g) - 4*y(g)?
-g**2
Let f(m) = 25*m - 5. Let v be 20/(-110) + 92/22. Suppose 18 = v*j + 6. Let o(d) = 13*d - 3. Calculate j*f(x) - 5*o(x).
10*x
Let x(w) = -w + 32. Let h(k) be the second derivative of -k**2/2 + 6082*k. Determine -4*h(v) - x(v).
v - 28
Let x(c) = -2*c**3 + 7*c**2 + 7*c - 19. Suppose -o = 4, 5*j + 657 = o - 959. Let f = 328 + j. Let a(v) = -v**3 + 4*v**2 + 4*v - 10. Give f*x(d) - 7*a(d).
-d**3 - 6
Let c(g) = -18*g**2 + 21*g + 4. Let q(t) = -10*t**2 + 11*t + 3. Determine 4*c(o) - 7*q(o).
-2*o**2 + 7*o - 5
Let s = 10785 - 10790. Let r(q) = 7*q**2 + q + 2. Let b(y) = 6*y**2 + 2*y + 2. Determine s*r(a) + 6*b(a).
a**2 + 7*a + 2
Let w(h) be the first derivative of -2/3*h**3 + 2*h**2 - 4*h + 143. Let s(o) = -3*o**2 + 5*o - 5. Let a(l) = l + 1. Let x be a(4). What is x*w(d) - 4*s(d)?
2*d**2
Let u(f) = -14*f**2 - 11*f. Let m(v) = 3*v**2 + 2*v. Suppose -28*p + 39*p = 22. What is p*u(h) + 11*m(h)?
5*h**2
Let i(c) = 2263*c - 9050. Let m be i(4). Let z(p) = 3*p**2. Let g(o) = -o**2 - 1 + 1. What is m*g(j) + z(j)?
j**2
Let l(g) = 15*g**2 - 6*g. Suppose 0 = -18*s + 7*s + 44. Suppose -s*r - 24 = -8*r. Let w(b) = -31*b**2 + 13*b. What is r*w(q) + 13*l(q)?
9*q**2
Let n(b) = 20*b. Suppose -3*g - 711 + 701 = -4*o, 0 = 3*g + o + 20. Let l(h) = 7*h. What is g*n(s) + 17*l(s)?
-s
Let i(d) = 5*d**2. Let r(s) = 10*s**2. Suppose -72 = -h - 77. Let q be (-1)/(-1) + (2 - 1). Determine h*i(l) + q*r(l).
-5*l**2
Let b(w) = -35*w + 10. Let n(z) = -12*z + 3. Let t be ((-2)/(-2)*1)/((-66)/(-660)). Calculate t*n(y) - 3*b(y).
-15*y
Let v(z) = z - 10. Let o(x) = x**2 + x - 1. Let g be o(3). Let c be v(g). Let q(f) be the first derivative of f - 28. Let r(w) = -w + 2. Give c*r(u) - 2*q(u).
-u
Let s(c) = -c. Suppose -3*p + 46 = -u - 9, 5*p - 87 = 4*u. Let x(q) = -38*q. What is p*s(r) - x(r)?
19*r
Let n(y) = -4*y**2 + 4*y - 1. Let p(q) = -536*q**2 - 3*q + 1 + 980*q**2 - 441*q**2. Give -6*n(l) - 7*p(l).
3*l**2 - 3*l - 1
Let r = 45 + -42. Let v(f) = -41*f + 0 - 1 + 24*f + 19*f. Let s(a) = 5*a - 1. Give r*s(i) - 7*v(i).
i + 4
Let s(x) = -7*x. Let q(o) = 6*o. Suppose 2*u + 2 = -2*a, 2*u + 3*a = 2*a + 2. Let y be (140/42)/((-35)/(-42)). Give u*s(t) + y*q(t).
3*t
Let k(c) = -22*c**3 - 8*c**2 - 7*c - 18. Let v(y) = -46*y**3 - 16*y**2 - 12*y - 30. Determine 5*k(d) - 3*v(d).
28*d**3 + 8*d**2 + d
Let g(a) = a**2 + 2*a - 6. Let x(o) = o**2 + 3*o - 5. Suppose 0 = v - 4*w + 7, 3*w = 2*v + 37 - 28. Give v*g(b) + 4*x(b).
b**2 + 6*b - 2
Let u(p) be the second derivative of 3*p**5/5 - 7*p**4/4 + p**3/2 - 664*p. Let c(d) = -3*d**3 + 5*d**2 - d. Determine 21*c(v) + 5*u(v).
-3*v**3 - 6*v
Let x(z) = -282*z - 7585. Let l(s) = 89*s + 2528. What is -19*l(i) - 6*x(i)?
i - 2522
Let c = 5209 - 5214. Let u(z) = -z**3 + 5*z**2 + 5*z - 7. Suppose -6 = -5*o - 1. Let g(f) = f**2 + f - 1. What is c*g(q) + o*u(q)?
-q**3 - 2
Let a(g) = 23*g**3 - 6*g + 2129. Let q(h) = -42*h**3 + 11*h - 4258. Determine 11*a(p) + 6*q(p).
p**3 - 2129
Let y(w) = 22*w**2 - 12*w + 24. Let x(h) = -28*h**2 + 10*h - 23. What is -6*x(c) - 5*y(c)?
58*c**2 + 18
Let c(i) = 45*i + 16. Let w(z) = 87*z + 31. Calculate -5*c(x) + 3*w(x).
36*x + 13
Suppose 460 = -4*c + 472, -3*c = 5*b + 1. Let q(s) = s - 1. Let i(u) = -3*u + 2. Calculate b*i(t) - 2*q(t).
4*t - 2
Let o(n) = 3 - 3 + 7*n**2 - 11*n**3 + 7 + 0*n**3 + 13*n**3. Let r(z) = -z**3 - 6*z**2 - 6. Let m(p) = -p - 9. Let h be m(-15). Give h*o(t) + 7*r(t).
5*t**3
Suppose -7*l + 2 = -16*l + 11*l. Let p(a) = 7*a - 1. Let f(t) = t. Calculate l*p(d) - 5*f(d).
2*d - 1
Let p(n) = -n + 4. Let j(l) be the second derivative of 5*l**3/6 - 15*l**2/2 + l. Suppose 62*q - 60*q + 25*q + 108 = 0. Give q*j(h) - 15*p(h).
-5*h
Let v(g) = -12*g**2 + 17. Suppose 897 = -436*f + 505*f + 138. Let j(y) = -4*y**2 + 6. Calculate f*j(b) - 4*v(b).
4*b**2 - 2
Suppose 67 = -5*g + z + 3*z, -75 = 5*g - 5*z. Let u(f) = 4*f**3 - f**2 - 3*f - 4. Let k(d) = -9*d**3 + 3*d**2 + 7*d + 9. Calculate g*u(t) - 3*k(t).
-t**3 - 2*t**2 + 1
Let f(p) = 278*p - 17. Let b(y) = -81*y + 6. Determine 8*b(u) + 3*f(u).
186*u - 3
Let x(d) = 7*d**2 + 20*d. Let m(h) = 11*h**2 + 21*h. Give -6*m(o) + 5*x(o).
-31*o**2 - 26*o
Let m(l) = -l**3 - 7*l**2 + l + 3. Let v be m(-7). Let b(o) = -2*o - 1. Let x(t) be the first derivative of -t**2/2 - 893. Give v*x(s) + b(s).
2*s - 1
Suppose -29*t + 389 = -133. Let g(s) be the third derivative of -1/12*s**4 + t*s**2 - 2/3*s**3 + 0*s + 0. Let d(i) = -i - 1. Determine 4*d(v) - g(v).
-2*v
Let b(y) = y**2. Let i(h) = h**2 + 7746 + h + h**2 - 7749. Give -4*b(d) + i(d).
-2*d**2 + d - 3
Let c(v) be the third derivative of -v**5/12 + 3*v**3 - 3095*v**2. Suppose -36 = 2*g - 0*g. Let x(p) = 2. Give g*x(i) + 2*c(i).
-10*i**2
Let g(h) = -h**3 + 8. Let w(q) be the second derivative of -q**5/20 + 5*q**2/2 - 122*q - 2. Determine 5*g(n) - 8*w(n).
3*n**3
Let z(i) = -117*i**3 - 8*i**2 - 18*i - 7. Let o(n) = -115*n**3 - 