4. Suppose 0 = 40*u - 45 + 125. Let x(w) = w - 8. Determine u*p(k) + 7*x(k).
k - 8
Let f(q) = 7*q**2 + 9*q + 2. Let t(k) = -9*k**2 - 9*k - 3. What is -4*f(d) - 3*t(d)?
-d**2 - 9*d + 1
Let f(c) = -c**3 + 196*c**2 - 6*c + 3. Let a(o) = -197*o**2 + 4*o - 2. Calculate -3*a(p) - 2*f(p).
2*p**3 + 199*p**2
Let v(j) = 9 - 2*j**2 + 0 - 10. Suppose 0 = -a + 5 - 1. Suppose -a*u + 15 = -7*u. Let t(l) = 4*l**2 + l + 2. What is u*v(q) - 2*t(q)?
2*q**2 - 2*q + 1
Let d(m) = m**3 - m + 1. Let y(i) = -14*i**3 + 2*i**2 + 7*i - 6. Calculate 6*d(u) + y(u).
-8*u**3 + 2*u**2 + u
Suppose 304 = -7*a + 339. Let h(n) = -4*n**3 + 7*n**2 - 5*n + 5. Let d(w) = -4*w**3 + 8*w**2 - 6*w + 6. What is a*d(o) - 6*h(o)?
4*o**3 - 2*o**2
Let q(p) = -82*p - 3. Let y(l) = 21*l + 1. Give 2*q(v) + 9*y(v).
25*v + 3
Let a(f) = 48*f + 1. Let q(i) = -44*i - 2. Give 3*a(n) + 2*q(n).
56*n - 1
Let k(h) = 13*h - 2. Suppose -r + 8 = 1. Let v(i) = r*i - 4 + 3 + 0. Give 6*k(g) - 11*v(g).
g - 1
Let k(m) = -10*m + 8. Let o(d) = -d**3 - 3*d**2 + 6*d - 2. Suppose -4*r - 4 = 16. Let v be o(r). Let j = -4 + 2. Let t(l) = -l + 1. Determine j*k(s) + v*t(s).
2*s + 2
Let k(y) be the first derivative of -2*y**3/3 + 3*y**2/2 + y - 5. Let j be (-3 - 0)/((-1)/2) - 9. Let f(l) = -1 + 4*l**2 + 2 - 5*l - 2. Give j*f(u) - 5*k(u).
-2*u**2 - 2
Let j(b) be the second derivative of -b**5/10 - b**3/3 - 34*b. Let t(n) = -n. Give j(q) + t(q).
-2*q**3 - 3*q
Let b(u) = -u - 5. Let a be b(-6). Let f(k) = 1 - a + 2*k. Let m(c) = 2*c**3 - 2*c**2 - 2. Let r be m(2). Let s(l) = -5*l. Give r*f(o) + 2*s(o).
2*o
Let r(x) = -x**2 + 5*x + 4. Let f be r(6). Let a(m) = 16 - 2*m + 334 - 340. Let b(l) = -l + 3. Give f*a(k) + 7*b(k).
-3*k + 1
Let o(c) = 15*c + 13. Let g(n) = -32*n - 26. Give -6*g(i) - 13*o(i).
-3*i - 13
Let o(l) = 292*l**3 + 12*l + 1. Let q(w) = 292*w**3 + 10*w + 1. What is -5*o(p) + 6*q(p)?
292*p**3 + 1
Let n(i) = 441*i**3 + 84*i**2 - 84*i + 84. Let u(q) = -26*q**3 - 5*q**2 + 5*q - 5. Let x be (-8)/(-288)*8*-6*-63. Calculate x*u(r) + 5*n(r).
21*r**3
Let w(k) = -156*k - 7. Let f(x) = -77*x - 3. Give -13*f(p) + 6*w(p).
65*p - 3
Let w(t) = -7*t**3 + 11*t**2 + 13*t + 9. Let o(a) = -4*a**3 + 6*a**2 + 7*a + 5. Let y(d) = d**3 - 48*d**2 - 151*d - 91. Let g be y(51). Give g*o(b) - 6*w(b).
-2*b**3 - b + 1
Suppose -44*m + 53*m = 54. Let v(h) = -6 + 12*h**2 + 6*h**3 - 5*h**2 + 2*h + 2*h**3. Let l(j) = -15*j**3 - 13*j**2 - 4*j + 11. What is m*l(i) + 11*v(i)?
-2*i**3 - i**2 - 2*i
Let b = -53 - -41. Let m = -10 - b. Let a(j) = 7*j + 23*j**2 - 14*j**2 - 7*j**m - 4*j. Let i(s) = s**3 + 2*s**2 + 2*s. Give 2*a(w) - 3*i(w).
-3*w**3 - 2*w**2
Let b(h) = 5*h. Suppose k = 4*t - 5 - 11, 5*k - 3*t + 29 = 0. Let r(u) be the first derivative of -u**4/4 + 2*u**2 - 44. Give k*b(d) + 5*r(d).
-5*d**3
Let g be (-50 + 52)*45/2. Let d(l) = 110*l**3 + 45*l**2 + 45*l + 45. Let y(a) = -5*a**3 - 2*a**2 - 2*a - 2. Calculate g*y(k) + 2*d(k).
-5*k**3
Let w(b) = 17*b - 13. Let z be 18/27 + 25/3. Let d(x) be the third derivative of -x**4/6 + x**3/2 - 39*x**2. What is z*d(l) + 2*w(l)?
-2*l + 1
Let y(t) = 21*t**3 + 119*t. Let m(v) = v**3 + 6*v. Let a be (-4 + (2970/(-25))/6)*-5. Give a*m(g) - 6*y(g).
-7*g**3
Let i(y) = -164*y - 35. Let u(g) = -82*g - 19. Give -6*i(h) + 11*u(h).
82*h + 1
Let h(t) = -t**2 + 1. Let x(s) be the third derivative of s**5/60 - 5*s**4/6 + 4*s**2. Let g(n) be the second derivative of x(n). What is g(r) - 2*h(r)?
2*r**2
Let j(y) = -2*y**2 + 7*y + 7. Let p(b) = -1331 - 23*b**2 + 22*b**2 + 1332 + b. Calculate -3*j(q) + 21*p(q).
-15*q**2
Let d(b) = 38*b + 23. Let n(o) = -191*o - 121. Determine 11*d(z) + 2*n(z).
36*z + 11
Let u(o) = -o + 4. Let b(j) = -j + 5. Let c(y) = 16*y + 6 + y**2 - 6*y - 23*y. Let k be c(12). Calculate k*u(g) + 5*b(g).
g + 1
Let t(o) = -10*o**3 + 24*o + 14. Suppose -l + 24 = -5*k, -44 = -4*l + 4*k + 20. Let r(n) = -2*n**3 + 5*n + 3. Determine l*r(g) - 3*t(g).
2*g**3 - 2*g
Let v(d) = 4*d - 5. Let s(u) = u - 4. Let c(p) = -1. Let x(j) = -3*c(j) + s(j). Let m = -36 - -27. Calculate m*x(o) + 2*v(o).
-o - 1
Let n(b) = -37*b**3 - 4*b**2 - 9*b - 5. Let v(s) = -19*s**3 - 2*s**2 - 4*s - 2. Give -2*n(q) + 5*v(q).
-21*q**3 - 2*q**2 - 2*q
Let j(o) = -10*o + 2. Let v(p) = 13*p - 7. Let x(t) = -37*t + 19. Let g(r) = 8*v(r) + 3*x(r). Calculate 7*g(n) - 5*j(n).
n - 3
Suppose 0 = -3*v + 8*i - 13*i - 58, 2*v - 2*i + 12 = 0. Let j(q) = -3*q**3 - 2*q**2 - 3*q. Let c(y) = 16*y**3 + 11*y**2 + 16*y. What is v*j(a) - 2*c(a)?
a**3 + a
Let p(b) = 2*b - 103. Let q(s) = s - 69. Determine -5*p(k) + 7*q(k).
-3*k + 32
Let t(c) = c**3 + c**2 - c - 1. Let f(q) = -3*q**3 - 5*q**2 + 7*q + 4. Give f(z) + 6*t(z).
3*z**3 + z**2 + z - 2
Let k(z) = -360*z - 7. Let s(h) = 181*h + 3. What is 2*k(q) + 5*s(q)?
185*q + 1
Let g(q) = 3*q. Suppose 9*h - 32 = -14. Let u(b) = 6*b + 1. What is h*u(d) - 5*g(d)?
-3*d + 2
Let f(t) = 4*t**2 - 11*t + 19. Let g(o) = 3*o**2 - 8*o + 20. What is 4*f(u) - 6*g(u)?
-2*u**2 + 4*u - 44
Let m(s) = -8*s**3 - 122. Let u(n) = 9*n**3 + 124. Calculate -6*m(c) - 5*u(c).
3*c**3 + 112
Let s(h) = -3*h**2 - 7*h - 1. Let m(w) = w**2 + 3*w. Determine 3*m(x) - s(x).
6*x**2 + 16*x + 1
Let r(h) = -4*h**2 + 44*h + 4. Let a(n) = 3*n**2 - 44*n - 3. Calculate 5*a(u) + 4*r(u).
-u**2 - 44*u + 1
Let y(n) = n**2. Let z(l) = 39*l**3 + 21*l**2 + 24. Let m(q) = 3*y(q) + z(q). Let c(a) = 8*a**3 + 5*a**2 + 5. Suppose 0 = t + 6 - 1. What is t*m(h) + 24*c(h)?
-3*h**3
Let c(k) = -5*k**3 + 2*k. Let x = 13 - 10. Suppose 3*t + l = 4*l + 18, 0 = x*t - l - 14. Let u(r) = -t*r**3 + 1 + 2*r + 2 - 3. What is -6*c(g) + 7*u(g)?
2*g**3 + 2*g
Let i(z) = 26*z - 30. Let w(n) = -31*n + 31. Give 6*i(k) + 5*w(k).
k - 25
Let f(q) = -14*q - 4. Let j(k) = 6*k + 2. Calculate -2*f(h) - 5*j(h).
-2*h - 2
Let w(o) = 1. Let k(n) = -31*n + 5. Give k(v) - 6*w(v).
-31*v - 1
Let j(h) = 2*h**2 + 5*h**2 + 2 - 3*h**2 - 2*h. Let n = -35 + 46. Let t(q) = 41*q - 9 - 5*q - 17*q**2 - 16*q - n*q. Give 9*j(p) + 2*t(p).
2*p**2
Let s(r) = 96*r. Let x(d) = 288*d. Determine 8*s(y) - 3*x(y).
-96*y
Let g(f) = 5*f - 3*f - f + f**2. Let k(t) = -247*t + 7*t**2 + 758*t - 248*t - 258*t. Determine 10*g(z) - 2*k(z).
-4*z**2
Let s(a) = 9*a + 42. Let l(x) = -4*x - 20. What is -7*l(z) - 3*s(z)?
z + 14
Let y(s) = 64*s + 387. Let h(z) = 35*z + 193. Determine 11*h(a) - 6*y(a).
a - 199
Suppose 5*l = 10, 2*l - 259 = 21*n - 18*n. Let b(a) = 20*a - 3. Let s(q) = -561*q + 85. What is n*b(p) - 3*s(p)?
-17*p
Let y(a) = 8*a**2 + 5*a - 105. Let h(u) = -7*u**2 - 4*u + 105. Calculate 6*h(r) + 5*y(r).
-2*r**2 + r + 105
Let q be (-5 - -6)/(1/(-13)). Let x(p) = 11*p**3 + 11*p**2 + 17*p + 13. Let t(y) = -8*y - 2 + 4 - 5*y**2 - 6 - 5*y**3 - 2. Calculate q*t(k) - 6*x(k).
-k**3 - k**2 + 2*k
Let g(j) = -3*j**2 - 4*j + 4. Let z = 340 + -344. Let u(i) = 2*i**2 + 3*i - 3. Calculate z*u(a) - 3*g(a).
a**2
Let j(o) = -3*o**3 + 8*o**2 - 6*o - 6. Let l(g) be the first derivative of 1/2*g**4 + 2*g**2 - 5/3*g**3 + 4*g + 4. Give 5*j(w) + 8*l(w).
w**3 + 2*w + 2
Let i(m) = 34*m**3 + 10*m**2 + 10*m - 10. Let q(h) be the second derivative of -11*h**5/20 - h**4/4 - h**3/2 + 3*h**2/2 + 44*h. Give -3*i(f) - 10*q(f).
8*f**3
Let r(k) = -14*k - 93. Let m(p) = -3*p - 23. What is 18*m(a) - 4*r(a)?
2*a - 42
Let s(z) = z**2 - z + 4. Let p(y) = -2*y**2 + y - 317. Give p(j) + s(j).
-j**2 - 313
Let a(i) = 14*i**3. Let n(d) = 9*d**3. Let t = -22 - -23. Let j = -6 + t. Let m = 10 + j. What is m*a(b) - 8*n(b)?
-2*b**3
Let j(b) = 34*b + 48*b - 8*b**2 - 62*b. Let x(u) = 3*u**2 - 7*u. Determine 5*j(y) + 14*x(y).
2*y**2 + 2*y
Suppose -29*v = -25*v + 24. Let c(r) = -3*r**3 - 2. Let t(d) = -4*d**3 - 3. Calculate v*c(q) + 4*t(q).
2*q**3
Let x(k) = 8*k**3 + 25*k**2 - 12*k - 7. Let y(t) = -23*t**3 - 74*t**2 + 34*t + 20. Give 17*x(l) + 6*y(l).
-2*l**3 - 19*l**2 + 1
Let y(z) = -2*z + 60. Let q(v) = v - 30. Determine -5*q(u) - 2*y(u).
-u + 30
Let o(y) = -5*y**3 + 5*y**2 - y + 4. Let l(p) = p**3 - p**2 + p + 1. Give -l(z) - o(z).
4*z**3 - 4*z**2 - 5
Let a(x) = 6*x + 17. Let s(u) = -25*u - 68. Calculate -9*a(v) - 2*s(v).
-4*v - 17
Let l(y) = y - 1. Let t(o) = -4*o - 7. Let s(b) = -b - 4. Let x(n) = 10*s(n) - 5*t(n). Determine -3*l(j) + x(j).
7*j - 2
Let t be (-1)/(-5) + 322/(-35). Suppose 0 = m - 2*m + 5. Let f(a) = m*a + 0*a + 0*a + 5 - 3. Let w(x) = -11*x - 4. What is t*f(p) - 4*w(