 1. What is p*h(l) + 3*y(l)?
-3*l**2 - 2
Let s(z) = 2*z**2 - 2*z - 4. Let r(b) = 6*b**2 - 6*b - 12. What is 6*r(n) - 17*s(n)?
2*n**2 - 2*n - 4
Let f(j) = 12*j - 23. Let b(k) = 14*k - 26. Calculate 2*b(g) - 3*f(g).
-8*g + 17
Let k(h) = -4*h - 5. Let a(n) = 2*n + 2. Let y(m) = -3*m - 5. Let p(u) = -2*a(u) - y(u). What is -k(z) - 5*p(z)?
9*z
Let f(w) = 7*w**3 - 5*w**2 + 2*w - 4. Let y(v) = -v**3 + v**2 + 1. Let s(o) = o**3 - 70*o**2 - 3*o + 205. Let c be s(70). Determine c*y(d) - f(d).
-2*d**3 - 2*d - 1
Let j(p) = -30*p + 6. Let m(i) = -i - 1. Let o(b) = -8*b - 1. Let y(t) = 2*m(t) - o(t). Give 2*j(x) + 11*y(x).
6*x + 1
Let x(z) = -3*z**2 - 5. Let r(q) = 4*q**2 + 2*q**2 - 3*q**2 + 6. Let n(v) = 6*v - 12. Let l be n(3). What is l*x(m) + 5*r(m)?
-3*m**2
Let y(m) = -m + 1. Let x(h) be the first derivative of -h - 1. Suppose 3*g + 18 = 0, 4*a - 84*g = -81*g + 34. What is a*x(v) + y(v)?
-v - 3
Suppose 3*c + 5*b = -0 + 31, 2*b = 4*c + 2. Let d(p) = -p**3 - p**c - 15*p + 1 + 2*p**3 + 14*p. Let u(x) = -6*x**3 + 5*x**2 + 5*x - 5. What is -5*d(s) - u(s)?
s**3
Let t(y) = 2*y**2 + 4*y - 2. Suppose -987 = -7*w - 1015. Let u(b) = -3*b**2 - 5*b + 2. Determine w*t(a) - 3*u(a).
a**2 - a + 2
Let u(c) = c + 5. Let b(x) = 1. Let q = 26 + -22. Let d(s) = q*b(s) - u(s). Let g(l) = -3*l - 6. Calculate -4*d(v) + g(v).
v - 2
Let g(i) = 10*i**3 + 7*i**2 - 4*i + 22. Let o(y) = -7*y**3 - 6*y**2 + y**2 - 9 - 4 + 61*y - 58*y - 2. Calculate 5*g(r) + 7*o(r).
r**3 + r + 5
Let v(n) = 60977*n - 1686. Let z(a) = 289*a - 8. Determine -4*v(w) + 843*z(w).
-281*w
Let k = 16 - 11. Let g(z) = 2*z**3 - 2*z**2 + 14*z. Let v(a) = a - 7*a - a**3 + 3*a + a**2 - 7*a + a. What is k*g(m) + 8*v(m)?
2*m**3 - 2*m**2 - 2*m
Suppose 5*l - 4*i + 65 = 0, 90 = -6*l + l - i. Let m(f) = -2*f**2. Let o(a) = 7*a**2. What is l*m(p) - 6*o(p)?
-8*p**2
Let u(a) = a**3 + 2*a**2. Let k(d) = 628*d**3 - 6*d**2. Determine 2*k(p) + 6*u(p).
1262*p**3
Let p(s) = 6*s**2 + 19*s + 8. Let v(x) = 16*x**2 + 58*x + 23. Give -11*p(a) + 4*v(a).
-2*a**2 + 23*a + 4
Let k(m) = 134*m + 21. Let j(z) = -4. What is -5*j(o) - k(o)?
-134*o - 1
Let f(w) = 2*w**2 - 3*w. Let i(u) = -659*u**3 + 4*u**2 - 6*u. Give -2*f(g) + i(g).
-659*g**3
Let z(a) = -4*a**3 - 2*a**2 - 5*a + 3. Let y(u) = 8*u**3 + 5*u**2 + 11*u - 7. Determine 3*y(m) + 7*z(m).
-4*m**3 + m**2 - 2*m
Let m(p) = 4*p + 3. Let u(y) = -4*y. Let s(i) = 5*i. Let a(g) = s(g) + u(g). Calculate 6*a(j) - m(j).
2*j - 3
Let s(g) = 8*g**2 + 5*g + 8. Let t(c) = 3*c**2 + 2*c + 3. Give -4*s(q) + 11*t(q).
q**2 + 2*q + 1
Let z(v) = 2*v**2 - 23*v - 28. Let q(y) = y**2 - 12*y - 13. What is 5*q(j) - 2*z(j)?
j**2 - 14*j - 9
Let s(r) = 2*r**2 - 8*r - 6. Let f(h) = 10*h**2 - 39*h - 29. Give -2*f(k) + 11*s(k).
2*k**2 - 10*k - 8
Suppose 4 = -5*m - 3*h + 45, 3 = m - 2*h. Suppose -14 = 4*x - 38. Let s(d) = d + 4. Let n(u) = -u - 5. Calculate m*s(t) + x*n(t).
t - 2
Let t(h) = -14*h**2 + 5*h - 2. Let d(a) = -12*a**2 + 4*a - 2. Determine 4*d(y) - 3*t(y).
-6*y**2 + y - 2
Let y(g) be the second derivative of -g**3/6 - 581*g. Let b(t) = -t**3 - 4*t - 3. What is -b(m) + 5*y(m)?
m**3 - m + 3
Let y(o) = -11 + 2 + 517*o**2 - 515*o**2. Let j(b) = -3*b**2 + 18. Determine -4*j(a) - 7*y(a).
-2*a**2 - 9
Let v(s) = -2*s**2 + s. Let p(a) = 34*a**2 + 3*a + 1. What is p(d) - 4*v(d)?
42*d**2 - d + 1
Let l(n) = -8*n**2 - 3*n + 7. Let j(p) = -9*p**2 - 3*p + 9. What is -5*j(v) + 6*l(v)?
-3*v**2 - 3*v - 3
Let v(a) = a**3 + 3*a - 5. Let u(b) be the first derivative of 11*b - 38 + 0*b**3 - 1/2*b**4 - 3*b**2. What is 3*u(y) + 7*v(y)?
y**3 + 3*y - 2
Let r(h) = -6*h**2 - 24*h + 24. Let s(d) be the second derivative of -d**3/6 + d**2/2 - 52*d. Determine r(c) - 24*s(c).
-6*c**2
Let l(t) = -3*t**3 + 2*t**2 - 2*t - 2. Let g(c) = 38*c - 5 - 67*c + 24*c + 0 + 5*c**2 - 6*c**3. What is 2*g(j) - 5*l(j)?
3*j**3
Let w(q) be the third derivative of q**4/24 - q**3/6 + 6*q**2 - 4. Let l(t) = -3*t**2 - 2*t + 6. Calculate -l(d) - 2*w(d).
3*d**2 - 4
Let d(x) = 2*x**3 + 7*x + 11. Let v(o) = 4233 - 3*o**3 - 4239 + 2*o**3 - 4*o. What is 4*d(s) + 7*v(s)?
s**3 + 2
Suppose 0 = 2*x - 4 - 2. Suppose -h = 3*i - x*h + 12, -3*i - h = 21. Let b(v) = v. Let o(w) = -2*w - 1. Give i*b(p) - o(p).
-4*p + 1
Let p(b) = -43*b**3 - 2*b**2 + 2*b - 2. Let t(q) = -2880*q**3 - 135*q**2 + 135*q - 135. Give 270*p(z) - 4*t(z).
-90*z**3
Let c(o) = 6*o**3 - 5*o**2 - o + 5. Suppose 7*z - 13 = 29. Suppose -6 = -3*v + z. Let s(u) = -5*u**3 + 4*u**2 + u - 4. Determine v*c(x) + 5*s(x).
-x**3 + x
Let l(d) = -14*d**3 + 11*d**2 + 9. Let c = -626 - -637. Let s(q) = 5*q**3 - 4*q**2 - 3. Calculate c*s(i) + 4*l(i).
-i**3 + 3
Let x(h) = 5*h**3 + 2*h**2 - 2*h - 4. Let c be 7/(-3) + 176/24. Let n(s) = -11*s**3 - 4*s**2 + 5*s + 9. Determine c*x(d) + 2*n(d).
3*d**3 + 2*d**2 - 2
Let g(v) = -145*v**3 + 10*v**2 + 6*v - 6. Let f(l) = 292*l**3 - 18*l**2 - 11*l + 11. Calculate -6*f(x) - 11*g(x).
-157*x**3 - 2*x**2
Let j(g) = 3. Let i(o) = 15*o - 23. What is -i(u) - 5*j(u)?
-15*u + 8
Let r(z) be the second derivative of -4*z**3/3 - 6*z**2 - 2*z + 2. Let t(b) = -3*b - 4. Calculate -4*r(s) + 11*t(s).
-s + 4
Let u(j) = 3*j - 3. Let o(i) = -1 - 2*i - 6 - 1 + 10. Let s be 124/(-24) + (-3)/(-18). Give s*o(r) - 4*u(r).
-2*r + 2
Suppose n + 3 = 6. Let q(r) = 0*r + 4 - n*r + 4*r + r. Let c be (-21)/(-4) + 3/(-12). Let o(y) = -2*y - 3. Calculate c*o(h) + 4*q(h).
-2*h + 1
Let t(z) = -z + 24. Let n(a) = 2. Give 3*n(c) + t(c).
-c + 30
Let n be 0 + 4 + (-3)/1. Let u be 2 + n*(-3 + 2). Suppose 0 = -a - 5*g - 4, -4*a + 10 - u = -5*g. Let k(t) = -t. Let d(f) = -6*f. Give a*d(w) - 5*k(w).
-w
Let v(f) = -f. Let t(a) = 2*a**3 + 2*a**2 - 1. Let r be t(-1). Let w(j) = -1. Let d be 52/20 + (4/10 - 1). What is d*w(k) + r*v(k)?
k - 2
Let l(f) = -33*f**3 + 4*f**2 + 7*f + 2. Let y(p) = -35*p**3 + 3*p**2 + 6*p + 2. What is -2*l(z) + 3*y(z)?
-39*z**3 + z**2 + 4*z + 2
Suppose 10 = 10*o - 6*o - 3*c, -13 = -5*o + 4*c. Let z(x) = 1. Let p(q) = -6*q + 2. Calculate o*p(j) - 2*z(j).
-6*j
Let n(d) = 25*d**3 + 41*d**2 - 8*d - 19. Let j(o) = -4*o**3 - 7*o**2 + o + 3. Calculate 13*j(x) + 2*n(x).
-2*x**3 - 9*x**2 - 3*x + 1
Let p(a) = -2*a**2 + 6. Let f(d) = -d**2 - d**2 + 3*d**2 - 8 + 6. Determine 8*f(u) + 3*p(u).
2*u**2 + 2
Let g(k) = k**3 + k + 1. Let l(b) = b**3 + 2*b**2 - 3*b - 4. Let c(d) = d**3 + 5*d**2 + 2*d - 8. Let o be c(-3). Give o*g(i) + l(i).
5*i**3 + 2*i**2 + i
Let k(t) = 5*t**3 - 3*t - 3. Let l(a) = 6*a**3 - 4*a - 4. Let y = 627 - 630. Calculate y*l(z) + 4*k(z).
2*z**3
Let b(q) = -20*q**2 + 14*q - 1. Let f(k) = -43*k**2 + 29*k - 2. What is 13*b(w) - 6*f(w)?
-2*w**2 + 8*w - 1
Let s = 20 + -24. Let b(j) be the second derivative of 5*j**3/2 - 9*j**2/2 - 2*j. Let f(o) = -2*o - 4 - 4*o + 13*o. What is s*b(r) + 9*f(r)?
3*r
Let z(a) = -2*a - 28. Let d(f) = f + 14. Give -10*d(o) - 4*z(o).
-2*o - 28
Let p(a) = -5*a + 12. Let f(o) = 4*o - 11. Give 3*f(v) + 2*p(v).
2*v - 9
Let a(i) = 2*i - 5. Let z be a(3). Let f(x) = -z + 9*x - x**2 + 0 - 10*x. Let c(o) = -o**2. Determine -3*c(j) + f(j).
2*j**2 - j - 1
Let l(a) = 11*a + 231. Let u(i) = 7*i + 152. Calculate 5*l(c) - 8*u(c).
-c - 61
Let v(k) = k**2 - 5*k - 9. Let b(y) = y**2 - 4*y - 7. Let r(u) = 4*b(u) - 3*v(u). Let z(l) = 2*l**2 - 2*l + 3. Give r(i) + z(i).
3*i**2 - 3*i + 2
Let x(z) = 6*z + 16. Let j(k) = 13 - 19 + 9 + k. Determine 11*j(v) - 2*x(v).
-v + 1
Let g(p) = -3*p - 1. Let v = 955 - 961. Let a(c) = 6*c + 2. Calculate v*a(j) - 11*g(j).
-3*j - 1
Let v(p) = -16*p**2 + 11*p - 61. Let w = -524 + 535. Let m(a) = -3*a**2 + 2*a - 12. Give w*m(z) - 2*v(z).
-z**2 - 10
Let v(l) be the first derivative of -l**3 - 5*l**2 - 5*l + 210. Let o(t) = 2*t**2 + 5*t + 3. What is -5*o(b) - 3*v(b)?
-b**2 + 5*b
Let s(o) = 5*o - 328. Let k(l) = -18*l + 984. Calculate 2*k(t) + 7*s(t).
-t - 328
Let j(t) = -t**2 - 2*t + 5. Let q(m) = m**2 + 3*m - 9. Calculate -5*j(b) - 3*q(b).
2*b**2 + b + 2
Let n(v) = -2*v - 56. Let l be n(-28). Suppose 8*d - 1 + 9 = l. Let g(c) = 5*c**3 + 2*c**2 - 2. Let y(m) = -m**3 + 1. Give d*g(q) - 2*y(q).
-3*q**3 - 2*q**2
Suppose -2*n = -i - 2, -2*i - n + 28 = 2*i. Let l be 10/6 - (-8)/i. Let s(u) = 5*u**2 - 2*u - 4. Let o(x) = 14*x**2 - 5*x - 11. Give l*o(h) - 8*s(h).
2*h**2 + h - 1
Let p(b) = 10*b + 6. Let f(r) be the third derivative of 0 + 29/24*r**4 - 32*r**2 + 0*r + 17/6*r**3.