- 2. What is u*a(w) - 3*v(w)?
-w + 1
Let u(d) = 4*d**2 - 1. Let x(v) = v**2 + v + 1. Give -u(g) + 2*x(g).
-2*g**2 + 2*g + 3
Let z(j) = j**3 + 3*j**2 - 3*j - 1. Let x be z(-3). Let c(d) = -3*d + 6 + d + x*d**2 - 4*d. Let p(u) = u**2 - u + 1. Calculate -c(v) + 6*p(v).
-2*v**2
Let k(m) = 13*m + 4 - 8 + 0 - 4*m**2 + 2. Let x(p) = 2*p**2 - 7*p + 1. What is 6*k(q) + 11*x(q)?
-2*q**2 + q - 1
Let s(u) = 7*u**2 - 4*u. Let n(l) be the third derivative of -13*l**5/60 + 7*l**4/24 - l**2. Give 4*n(t) + 7*s(t).
-3*t**2
Let n(o) = -o**2 - 2*o - 5. Let y(z) = 3*z**2 + 4*z + 11. Give -5*n(s) - 2*y(s).
-s**2 + 2*s + 3
Let c(p) = 8*p**3 - 3*p**2 + 29*p - 5. Let h(w) = 3*w**3 - w**2 + 10*w - 2. Give -4*c(d) + 11*h(d).
d**3 + d**2 - 6*d - 2
Let p(d) = 10*d**3 - 5*d**2 + 5*d + 15. Let q(a) = -5*a**3 + 2*a**2 - 2*a - 7. Give 4*p(h) + 9*q(h).
-5*h**3 - 2*h**2 + 2*h - 3
Let c(t) = -t**3 - 9*t**2 - 7*t + 9. Let q(o) = -5*o**2 - 4*o + 5. Determine 4*c(z) - 7*q(z).
-4*z**3 - z**2 + 1
Let p(n) = 11*n**2 - 2. Let g(v) = 55*v**2 - 11. Give 2*g(u) - 11*p(u).
-11*u**2
Let h(p) = p. Let m(j) = -3*j + 64. Let s be m(20). Let a(v) be the third derivative of -v**4/24 + v**2. Give s*h(u) + 3*a(u).
u
Suppose 0*n = -7*n - 21. Suppose -4*p + 3*p + 4 = 0. Let u(m) = -m + 1 + 0*m - p*m. Let q(y) = y. Calculate n*q(s) - u(s).
2*s - 1
Let y(m) = m. Let p(f) = f**3 + 13*f**2 - 12*f + 29. Let d be p(-14). Let n(w) = 0 + 0*w - 1 + w**3 + w - w**2. Calculate d*n(v) - y(v).
v**3 - v**2 - 1
Let f(v) = -21*v**3 + 2*v**2 - 2*v - 2. Let o(i) = -43*i**3 + 5*i**2 - 5*i - 5. Calculate 5*f(c) - 2*o(c).
-19*c**3
Let i(z) = z**2 - z + 2. Let s(g) = 6*g**2 + 1 - 5*g + 11 - 2. Calculate 11*i(r) - 2*s(r).
-r**2 - r + 2
Suppose -3*u - 5*b = -23, 2*b + 20 = 4*u - 2*b. Let o be 1*2 - 12/4. Let r(y) = 5*y**3 - 5. Let z(a) = a**3 - 1. Determine o*r(i) + u*z(i).
i**3 - 1
Suppose -6*b - 116 + 26 = 0. Let u(c) = 21*c**2 + 15*c. Let v(k) = 3*k**2 + 2*k. What is b*v(x) + 2*u(x)?
-3*x**2
Let h(x) = -2*x**2 + x. Let a(l) = -17*l**2 + l + 5. Let u(n) = 42*n**2 - 3*n - 12. Let y(d) = -12*a(d) - 5*u(d). Give 11*h(f) - 4*y(f).
2*f**2 - f
Let y(f) = -6*f - 5. Suppose 4*r - 2*r - 2 = 0. Let p(s) = -s - 1. Determine r*y(t) - 4*p(t).
-2*t - 1
Let g(n) = 7*n + 9. Let t(u) = 2*u**3 - 4*u**2 + 3*u - 9. Let o be t(2). Let d(j) = 4*j + 5. Calculate o*g(i) + 5*d(i).
-i - 2
Let i(l) = 4*l**2 - 6*l - 9. Let s(p) = 4*p**2 - 5*p - 8. Give -3*i(v) + 4*s(v).
4*v**2 - 2*v - 5
Let n = -6 + 3. Let v(h) = 5*h - 2. Let w(q) = 6*q - 3. Give n*w(f) + 4*v(f).
2*f + 1
Let z(g) = 4*g - 13. Let h(x) = 2*x - 7. Let v(j) = -2 + 7*j - 16*j + 8*j. Let i be v(-8). What is i*z(k) - 11*h(k)?
2*k - 1
Let q(f) = f + 1. Let k(u) = -2*u - 37. Calculate -k(p) - 3*q(p).
-p + 34
Let t(g) = -4*g + 7. Let r(j) be the second derivative of -j**3/6 + j**2 + 4*j. What is -14*r(i) + 4*t(i)?
-2*i
Suppose 0 = -2*p - 0*p + 64. Let w(u) = 10 - p*u**3 - 2*u**2 + 23*u**3 - 3. Let o(x) = -4*x**3 - x**2 + 3. Determine 7*o(d) - 3*w(d).
-d**3 - d**2
Let p(b) = b**2 - 4*b - 3. Let w(l) = -2*l**2 + 6*l + 4. What is 7*p(y) + 5*w(y)?
-3*y**2 + 2*y - 1
Let j be (-8)/2*(12/8 + -1). Let v(i) = i - 5. Let h(m) = -m + 4. Determine j*v(b) - 3*h(b).
b - 2
Let s be (-246)/(-24) + (-2)/8. Let o = 5 + -2. Let a(h) = 4*h + 10. Let y(m) = -m - 3. Give o*a(j) + s*y(j).
2*j
Let k(s) = s**3 + 9*s**2 + 8*s - 6. Let q be k(-8). Let a be 3 - 0 - (-5 - q). Let c(o) = o + 1. Let m(v) = 1. Calculate a*m(r) - c(r).
-r + 1
Let m(f) = 9*f**3 - 7*f**2 + 5*f + 5. Let v(r) = -r**2 + 2. Let z be v(-3). Let p(o) = 4*o**3 - 3*o**2 + 2*o + 2. Determine z*p(d) + 3*m(d).
-d**3 + d + 1
Let v(o) = -o**2 + 9*o + 9. Let c be 4 + -5 - 6/(-2). Let g = 10 - c. Let y(j) = -2*j**2 + 14*j + 14. Calculate g*v(k) - 5*y(k).
2*k**2 + 2*k + 2
Let s(z) = -2*z**3 - 3*z**2 + 3*z + 3. Let c(l) = 18*l**3 + 26*l**2 - 26*l - 26. Suppose 3*n + 4*h + 22 = -16, -2*n = h + 17. Determine n*c(o) - 52*s(o).
-4*o**3
Let f(y) = -2*y**2 + 4*y. Let o(p) = p + 26. Let b be o(0). Let g = b - 23. Let k(c) = c**2 - c. What is g*k(u) + f(u)?
u**2 + u
Suppose -3*h - 1 + 7 = 0. Suppose -q + 5*q = 12. Let z(r) = -1 + 9 - 8*r**3 - h + 2*r**q. Let k(s) = 7*s**3 - 7. Calculate -5*k(w) - 6*z(w).
w**3 - 1
Let k be (-4)/(-6) - 4/(-12). Let m(i) = -i + 4. Let h = -16 + 23. Let q be m(h). Let y(r) = 2*r**2 + r. Let w(d) = d**2. Determine k*y(g) + q*w(g).
-g**2 + g
Suppose 9*b + 20 = 4*b. Let p(w) = -w**2 - 5*w + 6. Let u(q) be the second derivative of q**4/4 + 7*q**3/3 - 17*q**2/2 + 7*q. Determine b*u(i) - 11*p(i).
-i**2 - i + 2
Let g(u) = -u**2 - u. Let f be 20/(-15)*(-3)/2. Let z be (3 - f)/(4/8). Let l(k) = 2*k**3 - 2*k**2 - 2*k - 1. What is z*g(p) - l(p)?
-2*p**3 + 1
Let k(y) = 6*y - 5. Let b(c) = -8 + 2 + 2 + 4*c. Let u(h) = -2*h + 0*h + 3*h + 5 - 6*h. Let r(a) = 4*b(a) + 3*u(a). What is k(z) - 4*r(z)?
2*z - 1
Let r(g) = -5*g - 16. Let z(d) = -d - 3. Let k(u) = -2*r(u) + 11*z(u). Let l(y) be the first derivative of k(y). Let h(o) = -o + 3. What is h(f) + 5*l(f)?
-f - 2
Let f(j) be the second derivative of j**3/6 + j**2/2 + 41*j. Let y(g) = -9*g - 8. Give -24*f(z) - 3*y(z).
3*z
Let b(q) = -q - 5. Let t(h) = -h. Let j(x) = -b(x) + 2*t(x). Let c(z) = -z + 4. Let r = -7 + 4. Determine r*c(p) + 2*j(p).
p - 2
Let g(w) = -22*w**2 - 3*w + 3. Let i(a) = 133*a**2 + 19*a - 19. Calculate -19*g(d) - 3*i(d).
19*d**2
Let o(b) = b**2 - 16*b - 9. Let h be o(16). Let y(x) = -6*x - 4. Let f(z) = -13*z - 9. Give h*y(m) + 4*f(m).
2*m
Let d(r) = -24*r**2 + 9*r - 9. Let o(s) = -12*s**2 + 5*s - 5. Determine 5*d(q) - 9*o(q).
-12*q**2
Let d(b) = 11*b - 6*b + 2 - 6*b. Let h(q) = q - 1. Give -d(y) - 3*h(y).
-2*y + 1
Let g = 0 - 4. Let q(v) = 2*v**2 - 5*v + 4. Let b(f) be the third derivative of f**5/12 - 11*f**4/24 + 3*f**3/2 - 3*f**2. Give g*b(h) + 9*q(h).
-2*h**2 - h
Let x(m) = 8*m + 3. Let a(b) = -1. Let h(q) = 2*a(q) + x(q). Let c(i) = -9*i - 1. Suppose -s - 7 = -1. Determine s*c(d) - 7*h(d).
-2*d - 1
Let s(x) = -2*x**3 + x**2 + 5*x. Let p(z) = -2*z**3 + 5*z + 1. Let d(f) = 6*p(f) - 5*s(f). Let q(w) = -w**3 - 4*w**2 + 4*w + 5. Determine 4*d(c) - 5*q(c).
-3*c**3 - 1
Let r(x) be the third derivative of 0 + 0*x + 1/4*x**5 + 2*x**2 + 5/24*x**4 + 0*x**3. Let b(a) = 7*a**2 + 2*a. Determine 9*b(c) - 4*r(c).
3*c**2 - 2*c
Let f(r) = -6*r + 5. Suppose 0 = -3*z + 21 + 6. Suppose -4*l + 50 = -z*l. Let w be 4/10 + 84/l. Let q(c) = -2*c + 2. What is w*q(y) + 3*f(y)?
-2*y - 1
Let f(o) = 8*o**3 + 4*o**2 - 13*o + 6. Let b(g) = g**3 - g**2 - g. Let u(l) = 5*b(l) - f(l). Let x(a) = -a**3 - 3*a**2 + 3*a - 2. Give 3*u(n) - 8*x(n).
-n**3 - 3*n**2 - 2
Let x(l) = 3*l**2 - 2*l. Let c(j) = -j**2 + 1. Determine 2*c(a) + x(a).
a**2 - 2*a + 2
Let x(t) = -13*t**3 - 22*t + 4. Let p(f) = -4*f**3 - 7*f + 1. Determine -7*p(q) + 2*x(q).
2*q**3 + 5*q + 1
Let v(b) = 7*b**2 - 4*b + 7. Suppose -5*h - 38 + 8 = 0. Let i(l) = -20*l**2 + 11*l - 20. Calculate h*i(u) - 17*v(u).
u**2 + 2*u + 1
Let u(v) = -v**2 - v. Let y be 1 + -2 - (1 + -1). Let m(a) = a**2 - 11*a - 4. Let r be m(12). Let s(c) = -r*c + 2*c + 7*c. Determine y*u(g) - s(g).
g**2
Let s(r) = -r - 1. Let u(y) = -y**3 - 2*y**2 + y. Let g be u(-3). Let j(l) = -4*l + 3*l + g*l + 0*l + 7. What is -j(v) - 6*s(v)?
v - 1
Let o(r) = 4*r**3 + r**2 + 3*r + 2. Let y(d) = -4*d**3 + d**2 - 5*d - 4. Let l(q) = -5*q**3 - 5*q - 4. Let b(j) = -3*l(j) + 2*y(j). Calculate -3*b(x) + 5*o(x).
-x**3 - x**2 - 2
Let w be (5/((-5)/(-6)))/((-24)/16). Let k(v) = -v**3 - 5. Let d(j) = -2*j - 1. Let h be d(2). Let p(i) = i**3 + 6. Determine h*k(f) + w*p(f).
f**3 + 1
Let b(p) = -7*p**3 + 7*p + 6. Let t(x) = -6*x**3 + 6*x + 5. Suppose -z + 0*k - 4 = -5*k, 0 = 5*z + 4*k - 38. Let g = z + 0. Calculate g*t(a) - 5*b(a).
-a**3 + a
Let n(m) be the first derivative of 3*m**4/2 + 4*m - 23. Let r(k) = -k**3 - 1. Let j(a) = a**3 + 8*a**2 + 9*a + 10. Let d be j(-7). Give d*r(v) - n(v).
-2*v**3
Let m(d) = -2*d**3 - 1. Let b(f) = -f**3 - f**2 + f. Let t(z) = -4*z**3 - 4*z**2 + 5*z + 1. Let y(q) = 5*b(q) - t(q). What is 2*m(u) - 2*y(u)?
-2*u**3 + 2*u**2
Let x(y) = y**2 - 5. Let j(h) = -3*h**2 + 15. Let m = 4 - 0. Suppose -5*k - 51 = m. Let t(q) = k*x(q) - 4*j(q). Let d(g) = -2*g**2 + 11. Give 3*d(u) + 7*t(u).
u**2 - 2
Let p(u) = 4*u**3 + 2*u**2 + 3*u - 2. Let o(y) = y**3 + y**2 - 1. Give -2*o(x) + p(x).
