- 5*u**2 + 9*u - 7. Determine -18*i(c) - 2*p(c).
-2*c**2 + 2*c
Let w(a) = 2*a**2 - 3*a - 2. Let g(r) = 7*r**2 - 11*r - 8. Give -6*g(o) + 22*w(o).
2*o**2 + 4
Let t(c) = -18*c**3 + 4*c + 4. Let a(n) = -36*n**3 + 9*n + 9. Give -4*a(g) + 9*t(g).
-18*g**3
Let c(j) = -j**3 + 6*j**2 + 6*j - 6. Let r(z) = -z**3 + 7*z**2 + 7*z - 7. Suppose -3*q = -6*q + 21. Let v(k) = k - 12. Let p be v(6). Give p*r(i) + q*c(i).
-i**3
Let p(u) = -48*u + 6. Let f(g) = 16*g - 2. Calculate -8*f(i) - 3*p(i).
16*i - 2
Let l(q) = q**2 - q - 1. Let n(y) = 11*y**2 - 5*y - 6. Calculate -5*l(o) + n(o).
6*o**2 - 1
Let x(k) = 8*k. Let h be -2 + -1*1/(-1). Let a(p) be the second derivative of 0 + p + 1/6*p**3 + 0*p**2. Give h*x(v) + 6*a(v).
-2*v
Let k(g) = 2*g**3 - 4*g**2 + 6*g. Let y(i) = -2*i**3 + 4*i**2 - 5*i. Give 5*k(o) + 6*y(o).
-2*o**3 + 4*o**2
Let x(j) = -9*j**2 - 5*j + 4. Suppose -21*i + 15*i = -30. Let k(v) = 22*v**2 + 12*v - 10. Give i*k(o) + 12*x(o).
2*o**2 - 2
Let b(k) = k**2 - 1. Let z be 74/(-14) + 10/35. Let r(h) = -h**2 - 3*h + 7. Let s be r(z). Let n(y) = 5*y**2 + y - 5. What is s*b(m) + n(m)?
2*m**2 + m - 2
Let a(o) = 0 + 2 + 7*o - 5 - 4. Let n(d) = -4*d + 4. Give -3*a(l) - 5*n(l).
-l + 1
Let k(v) be the second derivative of v**5/5 + v**3/3 - 6*v. Let b(d) = d**3 + d. What is 2*b(h) - k(h)?
-2*h**3
Let l(n) be the third derivative of -n**5/4 - 2*n**2. Let q(y) = 2*y**2. Determine 3*l(z) + 25*q(z).
5*z**2
Let g(f) = -4*f**3 - 11*f**2 - 5*f - 36. Let m(o) = -o**3 - 2*o**2 - o - 7. Give 2*g(b) - 11*m(b).
3*b**3 + b + 5
Let r(n) = -5*n**2 + 11*n - 15. Let c(f) = 3*f**2 - 6*f + 8. Determine 7*c(k) + 4*r(k).
k**2 + 2*k - 4
Suppose 3*o + 11 = 5*z + 1, -14 = 2*o + 4*z. Let a(c) = -2 - 7*c - 6 + 6. Let d(l) = 3*l + 1. Determine o*d(t) - 2*a(t).
-t - 1
Let y(k) = -2*k**3 + 10 + k**2 + 6*k - 2 - 5*k**2 - 2*k**2. Let v(t) = -2*t**3 - 5*t**2 + 5*t + 7. Give 6*v(j) - 5*y(j).
-2*j**3 + 2
Let w(i) = i + 5. Let m(y) = y + 6. Let a(u) = -5*m(u) + 6*w(u). Let j(o) = 1. Suppose 0*b - 8 = -4*b. Give b*j(z) - a(z).
-z + 2
Suppose -3*o + 11 + 7 = 0. Suppose -88 + 33 = 5*i. Let g(p) = 13*p**2 - 11*p - 11. Let t(m) = 7*m**2 - 6*m - 6. Calculate i*t(y) + o*g(y).
y**2
Let x(b) = -3*b**2 - 2*b + 1. Let w(v) = -v**2 - v. Calculate -2*w(p) + x(p).
-p**2 + 1
Let s(q) = -2*q**3 - 3. Let u(p) = p**3 + p**2 + p + 9. Let n be u(0). Suppose 0 = n*m - 7*m - 6. Let r(w) = -3*w**3 - 5. Calculate m*r(z) - 5*s(z).
z**3
Let y(r) = -5*r**3 - 6*r**2 - r + 4. Let p(m) = -m**3 - m**2 + 1. Determine -6*p(u) + y(u).
u**3 - u - 2
Let d(g) = 5*g**2 + 2*g - 2. Let w(y) = 85*y**2 + 35*y - 35. What is 70*d(b) - 4*w(b)?
10*b**2
Let d(c) = -c + 2. Let u(a) be the first derivative of -a**5/30 + 7*a**4/24 - 7*a**3/3 + 7. Let r(p) be the third derivative of u(p). What is -7*d(f) + 2*r(f)?
-f
Let m(y) = -9*y**2 - 7*y - 5. Let w(b) = -2*b - 4*b - 2 - 20*b**2 + 16*b**2 + 3*b. Determine -2*m(n) + 5*w(n).
-2*n**2 - n
Let a(u) = u**2 + 1. Let n(z) be the first derivative of 10*z**3/3 + 9*z + 41. Give -36*a(m) + 4*n(m).
4*m**2
Let v(k) = 2*k**3 + 8*k**2 - 8. Let m(i) = -i**2 + 1. Suppose 5*f - 8 = 3*q, -3*f = -3*q - q - 7. Determine f*v(d) + 8*m(d).
2*d**3
Let y(v) = 0*v + 4*v - 2*v - 8. Let l(g) = 1 + 2 + 0 - 2. What is -6*l(b) - y(b)?
-2*b + 2
Suppose 21*z + 3 = 24*z. Let o(d) = 1. Let j(u) = 5*u + 3. Give z*j(s) - 3*o(s).
5*s
Let i(v) be the first derivative of 2 - v + 3/2*v**2. Let b(w) = -10*w + 4. What is 2*b(p) + 7*i(p)?
p + 1
Let j(m) = -6*m. Let y(n) = -2*n**2 + 30*n. Give -30*j(g) - 6*y(g).
12*g**2
Let g(q) = -76*q - 1. Let t(i) = -51*i - 1. What is -5*g(o) + 7*t(o)?
23*o - 2
Let h(o) = 7*o**3 + 4*o**2 - 5*o. Let m(u) be the first derivative of -u**4 - 2*u**3/3 + 3*u**2/2 + 3. Determine 3*h(t) + 5*m(t).
t**3 + 2*t**2
Let f(w) = 3*w**3 + 5*w**2 - 3. Let z = 14 + -9. Let l(k) = -k - 9. Let r be l(-12). Let j(s) = 5 + 3*s**2 - 4 + 7*s**3 - r - 5*s**3. What is z*j(m) - 3*f(m)?
m**3 - 1
Let i(p) = -7*p - 6. Suppose -18 = 3*r - y, 11 = -3*r - 5*y - 7. Let l(s) = 13 - 6*s + 2*s + 12*s + 7*s. Give r*l(x) - 13*i(x).
x
Let z(n) = -10*n**3 - 2*n. Let d(r) = r. Give -d(u) - z(u).
10*u**3 + u
Let d(p) = 12*p**3 - 10*p**2 - 10*p - 10. Let t(g) = -g**3 + g**2 + g + 1. Give 3*d(l) + 30*t(l).
6*l**3
Let y(d) = -d**3 - 4*d. Let u(v) = -v. Let b(f) = -4*f**2 + f. Let p(n) = n**2. Let a(w) = b(w) + p(w). Let o be a(-1). What is o*u(m) + y(m)?
-m**3
Let i(s) = -5*s**3 - 2*s - 6. Let c(a) = 6*a**3 + 2*a + 7. What is -4*c(g) - 5*i(g)?
g**3 + 2*g + 2
Let z(j) = -3*j**3 + j**2 + j - 2. Let u(p) = 3*p**3 - p**2 - p + 3. Let h be (-48)/26 - (-2)/(-13). Calculate h*u(q) - 3*z(q).
3*q**3 - q**2 - q
Let i(w) be the first derivative of 3*w**3 - 4*w - 2. Let f(n) = 2*n**2 + 0*n**2 + 3*n**2 - 2. What is -5*f(r) + 3*i(r)?
2*r**2 - 2
Let f(w) = -w. Suppose 3*l = -s + 4, s + 3*l + 17 = 7*l. Let x(i) = -6*i - 2. Let y = -2 + 3. What is s*f(j) + y*x(j)?
-j - 2
Let n(g) = -9*g + 6. Let d(t) = 37*t - 25. Let o(l) = -4*d(l) - 18*n(l). Let j(x) = 5*x - 3. What is -8*j(y) + 3*o(y)?
2*y
Let m(c) = 56*c**3 + 8. Let i(z) = -19*z**3 - 3. Determine -8*i(g) - 3*m(g).
-16*g**3
Let w = -3 + 6. Suppose 1 + w = k. Let o(z) = -4*z. Let b(p) = -4*p + 4*p - 2*p. Calculate k*o(c) - 9*b(c).
2*c
Let i(q) = q**3 - q**2 - q + 1. Let c(w) = 5*w**3 - 6*w**2 + 5. What is -c(t) + 4*i(t)?
-t**3 + 2*t**2 - 4*t - 1
Let k = -42 - -37. Let m(b) = -5*b + 7. Let r(l) = -4*l + 6. Give k*m(s) + 6*r(s).
s + 1
Let u(f) = -f**2 - f + 1. Let p(k) = -6*k**2 - 4*k + 6. What is -3*p(n) + 14*u(n)?
4*n**2 - 2*n - 4
Let d = 2 - -2. Let h = d + -1. Let x(k) = 9*k**3 - 7*k**2 + 11*k. Let r = -45 - -38. Let v(o) = 4*o**3 - 3*o**2 + 5*o. Calculate h*x(i) + r*v(i).
-i**3 - 2*i
Let h(j) = -38*j**2 - 6*j - 6. Let w(y) = -77*y**2 - 13*y - 13. Determine -13*h(o) + 6*w(o).
32*o**2
Let i(v) = -7*v**2 + 7*v - 5. Let f(c) = -15*c**2 + 15*c - 11. Let w be (1 + 3 + 2)*-1. Give w*f(a) + 13*i(a).
-a**2 + a + 1
Let k(f) = 2*f - 7. Let w(b) = -6*b + 20. Give -17*k(v) - 6*w(v).
2*v - 1
Let u(p) = -5*p - 2. Suppose 12 = 3*y, -7 = h + 4*y - 26. Suppose -18*n + 14*n - 16 = 0. Let o(c) = -4*c - 1. Determine h*u(i) + n*o(i).
i - 2
Suppose -2*q + 6 = 0, 2*q - 8 = i - 3*i. Let b(y) = -y - 1. Let d(t) = -1866 - 2*t + 1865 + 4*t. Let a be 2 - 1 - 0/1. Determine a*d(p) + i*b(p).
p - 2
Let v(n) = 10*n**3 - 7*n**2. Let a(m) = 5*m**3 - 3*m**2. Give 7*a(h) - 3*v(h).
5*h**3
Let q(h) = 5*h + 9. Let g be q(-2). Let j(w) = -w + 2*w - 2*w. Let n(a) = 2*a**2 + 2*a - 2. Calculate g*j(t) - n(t).
-2*t**2 - t + 2
Let w(r) = -r**3 - r + 1. Let q(c) = -c**3. Let p(d) = 4*d**3 + 2*d**2 - 4*d + 3. Suppose -1 = 4*n - 3*n. Let k(g) = n*p(g) - 6*q(g). Give -k(o) - 3*w(o).
o**3 + 2*o**2 - o
Let f(d) = 2*d - 8. Let w(m) be the third derivative of 0*m - 1/6*m**3 + 0 + m**2. Let r(x) = x - 3. Let k be r(2). Give k*f(i) + 6*w(i).
-2*i + 2
Let u(h) = 2*h + 1. Let z(k) = 28*k + 4. Give -3*u(j) + z(j).
22*j + 1
Let l(x) = -x**2 + 3*x + 1. Suppose 4*z - 7 - 5 = 0. Let j be l(z). Let k(f) = 2*f**2 + 2*f. Let a(q) = q**3 + q - 89 + q**2 + 89. Give j*k(y) - 2*a(y).
-2*y**3
Let n(z) = 8*z - 4. Let j be -3*(-2 - 5)*2/(-7). Let v(t) = -7*t + 4. Calculate j*n(a) - 7*v(a).
a - 4
Let p(i) = 54*i + 16. Let b(m) = -11*m - 3. Calculate 11*b(w) + 2*p(w).
-13*w - 1
Let f(r) = 12*r + 5. Let o(n) = 30*n + 12. Determine 12*f(b) - 5*o(b).
-6*b
Suppose g + g - 4*j = -4, 5*j - 12 = -g. Let t = 7 - 4. Let l(c) = -3 + t - 1. Let m(x) = x - 5. Give g*m(z) - 11*l(z).
2*z + 1
Let m(c) = -2*c**2 + 2*c + 2. Let z(g) = g + 1. Determine -m(n) + 2*z(n).
2*n**2
Let b(z) = 6 + 8 + 2*z**2 - 5*z - 9 + 0. Let c(l) = 23*l**2 - l + 1. Let g(n) = 4*n**2. Let q(w) = -6*c(w) + 34*g(w). Determine 6*b(u) + 5*q(u).
2*u**2
Let c(u) = -2*u**2 - 9*u. Let v(h) = h**2 + h. Let i(r) = 9*r**2 + 19*r. Let a(b) = i(b) - 6*v(b). Suppose d - 4 = 0, -4*d + 7 = y - d. What is y*a(x) - 7*c(x)?
-x**2 - 2*x
Let y be 2/(-3)*21/(-2). Let o(j) = 4*j**2 + 13. Let b(l) = -3*l**2 - 9. Calculate y*b(r) + 5*o(r).
-r**2 + 2
Let g(b) be the second derivative of -b**4/4 - b**3 - b. Let q = 4 - -1. Let h(f) = 3*f**2 + 5*f. What is q*g(v) + 6*h(v)?
3*v**2
Let f(j) = -5*j**2 - 5*j - 4. Let x(h) = 14*h**2 + 15*h + 11. Calculate 11*f(t) + 4*x(t).
t**2 + 5*t
Suppose -5*y - 33 - 12 = 0. Let l(s) = 13*s**2 - 3*s + 11. Let g(h) = 