 7. Determine c*u(y) - 5*v(y).
3*y + 1
Suppose 3*i + 3*c + 9 + 6 = 0, 4*i = -2*c - 16. Let j(r) = -3*r**3 + 8. Let g(x) = -3*x**3 + 9. Give i*g(h) + 4*j(h).
-3*h**3 + 5
Let u(s) = -4*s + 1. Let j(x) = -x. Determine 4*j(p) - 2*u(p).
4*p - 2
Let x(y) = 4*y. Suppose 3*d = 4*b + 21, 4*d = 3*b + d + 18. Let r(s) be the second derivative of 10*s**3/3 - 2*s. Determine b*r(n) + 16*x(n).
4*n
Let a(p) = -4*p - 21. Let i(q) = 6*q + 32. Give 8*a(c) + 5*i(c).
-2*c - 8
Let j(s) = -3*s - 4. Let q(d) be the first derivative of -3*d**2/2 - 5*d + 1. Let a be 21/(-6)*(-132)/77. Determine a*q(t) - 7*j(t).
3*t - 2
Let x(j) = -2*j**3 + 30*j**2 - 24*j + 12. Let o(v) = -2*v + 1. What is 12*o(r) - x(r)?
2*r**3 - 30*r**2
Let h(d) be the third derivative of -d**5/30 + d**4/12 - 7*d**3/6 - 8*d**2 + d. Let i(l) = 2*l**2 - 3*l + 8. Determine 5*h(j) + 4*i(j).
-2*j**2 - 2*j - 3
Suppose 9*i + 65 = 29. Let p(y) = 1. Let d(v) = 2*v - 2. Determine i*p(b) - 2*d(b).
-4*b
Suppose 15*b - 228 = -42*b. Let h(k) = -11*k - 9. Let d(x) = 6*x + 5. Calculate b*h(f) + 7*d(f).
-2*f - 1
Let h(v) = 3*v + 1. Let g(i) = -i**2 - 22*i - 94. Let t be g(-17). Let b(z) = 5*z + 2. Calculate t*h(p) + 4*b(p).
-7*p - 1
Let h(d) = 2*d**2 - 2. Let b(q) = 4. Let l(n) = n + 12. Let o(x) = -3*b(x) + l(x). Calculate h(u) - 3*o(u).
2*u**2 - 3*u - 2
Let a(i) = -i**2 + 2. Let p(x) be the third derivative of x**4/24 + x**3/6 + 184*x**2. Determine -a(g) - 2*p(g).
g**2 - 2*g - 4
Let h(t) = 15*t + 13. Let x(r) = -2*r + 2. Give -h(f) - 2*x(f).
-11*f - 17
Let b(r) = -3*r**3 - 202*r - 6. Let m(n) = -2*n**3 - 203*n - 5. Determine -5*b(z) + 6*m(z).
3*z**3 - 208*z
Let w(x) = -5*x - 9. Suppose 0 = 21*u + 35 - 14. Let j(h) = -h + 1. Determine u*w(t) + 3*j(t).
2*t + 12
Let g(h) = -89*h - 4. Let i(m) = -174*m - 7. Calculate 11*g(o) - 6*i(o).
65*o - 2
Let y(z) = -z**2 + 5*z - 3. Let t be (-6)/(-1*15/10) - 3. Let g(d) = d - 1. Determine t*y(n) - 5*g(n).
-n**2 + 2
Let g(h) = -h**2 - h. Suppose 3*i - 2*i = -5*r - 4, -4*i = -5*r - 9. Let k(o) = 4*o**2 + 3*o. Give i*k(w) + 3*g(w).
w**2
Let g(n) = 5*n**3 - 11*n**2 + 11. Let b(y) = -4*y**2 + 3*y + 10. Let j(a) = -a**3 + 13*a**2 - 8*a - 29. Let f(x) = -8*b(x) - 3*j(x). Calculate 8*f(m) - 5*g(m).
-m**3 - m**2 + 1
Let k(b) = b. Let n(d) = 5*d**2 + 3*d + 3. Let v be n(-1). Let o(r) be the third derivative of -r**4/12 + r**3/6 + r**2. Determine v*k(s) + 2*o(s).
s + 2
Let d(w) = 10*w. Suppose 0 = 3*u - 9, -2*u + 45 = 5*q + 9. Let b be -3 + 6 - (-6)/q. Suppose -2*i + 0 = b. Let m(z) = -3*z. What is i*d(f) - 7*m(f)?
f
Let l(s) = s**3 - 4*s**2 - 5. Let u(i) = -i**3 + 5*i**2 + 6. Let d = -31 + -6. Let m = d - -16. Let b = 16 + m. Calculate b*l(v) - 4*u(v).
-v**3 + 1
Let w(l) = -1. Suppose 5*t - 10 = 3*t. Let p = 8 - 6. Let d(u) = 6*u**2 - 4 - 1 - 3*u**p. Determine t*w(i) - d(i).
-3*i**2
Let r(a) = -38*a + 6. Let i(s) = -1326*s + 208. Let l(n) = -3*i(n) + 104*r(n). Let u(k) = -39*k. Calculate -8*l(q) - 5*u(q).
-13*q
Suppose s = 3*s + 10, -3*g = 4*s + 38. Let q(t) = 5*t**3 - 2*t**2 - 6*t + 6. Let h(z) = 2 + 7*z - 6*z**3 - 5 - 4 + 2*z**2. Calculate g*h(n) - 7*q(n).
n**3 + 2*n**2
Let p(s) = s - 1. Suppose 2*z - q - 11 = 0, -2*q = 3*z + z - 42. Let v(t) = 2*t - 11. Let l be v(z). Let x(f) = -2*f**2 + 7*f - 5. Determine l*p(b) - x(b).
2*b**2 - 2*b
Let s(q) = 4*q - 98. Let w(u) = -14*u + 294. Give 10*s(l) + 3*w(l).
-2*l - 98
Let n(p) = 6*p + 7. Let h be 0 + 11/((-22)/36). Let b = 17 + h. Let m(s) = -s - 1. Give b*n(z) - 4*m(z).
-2*z - 3
Let h(d) = 51*d - 1. Let o(s) = -26*s. Determine 2*h(m) + 5*o(m).
-28*m - 2
Let o(u) = 3 + 5 - 9 - 1 - 13*u**2. Let s(m) = -m - 2*m - 1 - 4*m**2 + 3*m. Calculate -2*o(k) + 7*s(k).
-2*k**2 - 3
Let u(j) = -55*j**2 - 44*j. Let i(m) = 16*m**2 - 4*m - 5*m - 17*m**2 + 8*m. What is 44*i(s) - u(s)?
11*s**2
Let u(z) = 140*z**2 - 240*z - 240. Let b(l) = l**2 - 2*l - 2. Give -600*b(x) + 5*u(x).
100*x**2
Let r(c) = c**2 - c + 1. Let g(q) be the second derivative of q**4/6 - q**3/2 + 3*q**2/2 + 76*q. Give g(s) - 4*r(s).
-2*s**2 + s - 1
Let q(o) = 9*o + 5. Suppose 3*l + 2914 - 2935 = 0. Let r(t) = -17*t - 9. Give l*q(z) + 4*r(z).
-5*z - 1
Suppose -20 + 30 = -2*f. Let m(b) = 11*b**2 - 3*b - 6. Let z(j) = 7*j**2 - 2*j - 4. Give f*m(x) + 8*z(x).
x**2 - x - 2
Let f(c) = 1. Let a(w) = 2. Let i(t) = 3*a(t) - 7*f(t). Let x(z) = -87*z - 262. Let b be x(-3). Let g(j) = -j**2 + 3. Determine b*g(q) - 3*i(q).
q**2
Let t(q) = -q - 2. Suppose 4*l + 20 = -l, 0 = -4*s - 2*l + 32. Suppose 3*h = -m + 3*m, -4*m + s = -h. Let f(b) = 2*b + 2. What is m*t(j) + 2*f(j)?
j - 2
Let k(c) = -1. Let z(v) = -42*v + 10. Determine 22*k(j) + 2*z(j).
-84*j - 2
Let s(t) = -7*t - 3. Let u(g) = 3*g. Give -2*s(v) - 6*u(v).
-4*v + 6
Let f(c) = 4*c**3 - c**2 - 5*c - 8. Let k(t) = -4*t**3 + t**2 + 4*t + 7. Calculate 5*f(h) + 6*k(h).
-4*h**3 + h**2 - h + 2
Let f(j) = 2*j**2 - j - 4. Let d(c) = 4*c**2 - 2*c - 9. Suppose -66*g - 24 = -156. Calculate g*d(r) - 5*f(r).
-2*r**2 + r + 2
Let j(d) = -162*d**3 + 4*d - 2. Let q(t) = 161*t**3 - 3*t + 2. Calculate -3*j(m) - 4*q(m).
-158*m**3 - 2
Let o be 128/(-68) - 8/(-544)*-8. Let z(w) = 5*w**2 + 21*w - 5. Let s(c) = -c**2 - 5*c + 1. Calculate o*z(g) - 9*s(g).
-g**2 + 3*g + 1
Let w(k) be the first derivative of 0*k**3 + 5/4*k**4 + 0*k**2 - 6*k + 5. Let d(s) = -s**3 + 2 - s**3 + 3 - 2*s**3. Give 6*d(b) + 5*w(b).
b**3
Let g(z) = z + 7. Let k(d) = 3. Let p(n) = n**2 - 5. Let b(f) = f**2 - 7*f + 4. Let q be b(7). Let m be p(q). Suppose 3*s + m = 5. What is s*g(o) + 5*k(o)?
-2*o + 1
Let u(d) = d - 2. Let y(z) be the first derivative of 3*z**2/2 - 4*z - 20. Calculate 5*u(a) - 2*y(a).
-a - 2
Let z(j) = -3*j**2 + 3*j. Let c(a) = -a**3 - 2*a**2 + 2*a. Let h(b) = b**2 + 9*b + 14. Let s be h(-6). Let n be (-7 + 6 - (-2)/8)*s. Calculate n*c(d) - 2*z(d).
-3*d**3
Let u(z) = 3*z**3 - 3*z**2 - 26. Let k(b) = -b**3 + b**2 - b + 1. Give k(m) + u(m).
2*m**3 - 2*m**2 - m - 25
Let n(g) = -3*g - 95. Let d(f) = 6*f + 198. Determine -2*d(h) - 5*n(h).
3*h + 79
Let k(a) be the second derivative of -3*a**4/2 - a**3/2 - 707*a. Let p(c) = -90*c**2 - 14*c. Determine -14*k(t) + 3*p(t).
-18*t**2
Let k(d) = -d**3 - d**2 + d - 2. Let m(r) = -5*r**3 - 6*r**2 + 4*r - 50. Determine 6*k(u) - m(u).
-u**3 + 2*u + 38
Let n(r) = -r - 12. Let x(p) = 2*p + 22. Let y(j) = -7*n(j) - 4*x(j). Let b(i) = -i - 1. Give -2*b(q) + y(q).
q - 2
Let y(x) = -10*x. Let t(i) = 11*i + 1. Determine 5*t(b) + 4*y(b).
15*b + 5
Let p(o) = -1. Let m(x) = 2*x - 8. Let j be (73/(-219))/((-20)/(-18) - 1). Calculate j*m(c) + 24*p(c).
-6*c
Let f(i) = 2*i - 1. Let r(q) = -3*q. Suppose 17*u = 36*u + 38. Determine u*f(w) - 3*r(w).
5*w + 2
Let m(y) = y. Let z(c) = -2*c - 1. Let l(d) = d**2 - 6*d - 45. Let k be l(-4). What is k*m(q) - 2*z(q)?
-q + 2
Let x = 7 - 1. Let k(v) = 2*v**2 - 8*v + 4. Let p(g) be the third derivative of g**5/30 - 7*g**4/24 + g**3/2 + 1264*g**2. Calculate x*p(t) - 5*k(t).
2*t**2 - 2*t - 2
Let s(o) = 3*o + 4. Let a(u) = -u**3 + 11*u**2 + 13*u - 9. Let p be a(12). Suppose -5*k + 4*h + 1 = 6, p*h = -2*k - 25. Let q(d) = -d. Calculate k*q(g) - s(g).
2*g - 4
Let q(s) = s**3 - 2*s**2 + 2*s. Let t = -81 - -114. Let y(x) = 15*x**3 - 33*x**2 + 33*x. Give t*q(u) - 2*y(u).
3*u**3
Let z(n) = -n**3 + 1. Let q(o) = -2*o - 5. Suppose 3*h = 4*r + 26, 3*r + 2*h + 8 = -3. Let y be q(r). Let l(g) = -1 + 2 - y + 5. Give l(u) - 2*z(u).
2*u**3 - 1
Let h(n) = -5*n - 2*n - 2 - 4*n**2 + 0. Let a(o) = o**2 - 812 + 4*o**2 + o**2 + 10*o + 815. Calculate -5*a(x) - 7*h(x).
-2*x**2 - x - 1
Let p(z) = -19*z**2. Let g(u) = -u + 28. Let y be g(25). Let l(n) = 10*n**2. Give y*p(m) + 7*l(m).
13*m**2
Suppose -2*o - 65*s - 14 = -69*s, 0 = -5*o + 2*s - 11. Let h(p) = -56*p**2 + 42*p - 42. Let v(g) = g**2 - g + 1. Determine o*h(f) - 42*v(f).
14*f**2
Let g(c) = c**2 - 2*c + 1. Let m(x) = -2*x + 5. Suppose 0 = -5*n + 7 + 23. Suppose n = -t + 10. Let b be m(t). Let j(a) = a**2 - a. What is b*j(l) + 2*g(l)?
-l**2 - l + 2
Suppose 24*p = -14 + 110. Let q(w) = -w - 3. Let j(b) = -b - 3. Give p*j(m) - 5*q(m).
m + 3
Let a(x) = -2*x**2 + 4*x + 15. Let r(y) = 2*y**2 - 4*y - 14. Give 4*a(f) + 5*r(f).
2*f**2 - 4*f - 10
Let z be ((2 + (-3)/6)*-4)/2. Let d(q) = 3*q**2 + 2. Let v(b) = 1 + b**2 + 7362*b - 7362*b. What is z*d(k) + 6*v(k)?
-3*k**2
Let a(f) = f**2 + 5*f - 1. Let g(k) be th