2 - 3
Let b(z) = -2*z**3 - 2*z**2 + 4*z + 2. Let c(a) = 60*a + 72*a - 3*a**2 - 127*a - 2*a**3 + 3. Determine -3*b(t) + 2*c(t).
2*t**3 - 2*t
Let w(z) = -20*z**3 + 8. Let a(n) = 7*n**3 - 3. Calculate 14*a(v) + 5*w(v).
-2*v**3 - 2
Let m(k) = k**2. Let l(t) = -t**3 + 5*t**2 - 2*t + 1. Calculate -l(x) + 5*m(x).
x**3 + 2*x - 1
Let p(a) = a**2 + 2*a + 2. Let y be 2/6 - (-22)/6. Let z(r) = -7*r - y*r**2 - 20 + 13 + r**2. Calculate 7*p(m) + 2*z(m).
m**2
Let t(w) = w**3 - 2 + 0*w**3 + 1 - w. Let x(h) = -3*h**3 - 2*h**2 + h + 1. Let j(n) = -n**2 - 2*n + 14. Let a be j(-5). Calculate a*t(l) - x(l).
2*l**3 + 2*l**2
Let w = -36 + 34. Let g(t) = 16*t**3 - 10*t**2 + 7*t. Let l(p) = -5*p**3 + 3*p**2 - 2*p. Determine w*g(n) - 7*l(n).
3*n**3 - n**2
Let b(k) be the second derivative of 0 - 1/12*k**4 + 0*k**3 + 1/2*k**2 - 3*k. Let h(t) = 3*t**2 - 2. What is -2*b(v) - h(v)?
-v**2
Let k(q) = -4*q**2 - q + 13. Let g(m) be the second derivative of -m**4/12 + 3*m**2/2 - m + 1. Calculate -9*g(y) + 2*k(y).
y**2 - 2*y - 1
Let l(d) = 13*d + 2. Let x(a) = -7*a - 1. Let i(g) = 6*l(g) + 11*x(g). Let r(v) = -v**2 - 5*v - 5. Give 5*i(h) + r(h).
-h**2
Let b be (-8 + 6)*(-3 + -1). Let f(q) = 3*q - 11. Let r(z) = z - 4. Determine b*r(y) - 3*f(y).
-y + 1
Let m(p) = -3*p**2 + p + 3. Let v(q) = -q**2 + q + 1. Suppose -5*j + 4*j + 5 = 0. What is j*v(b) - 2*m(b)?
b**2 + 3*b - 1
Let t(g) = 45*g + 10. Let l(u) = 15*u + 3. Give -10*l(h) + 3*t(h).
-15*h
Let d(r) = -r**3 - r**2 - 1. Let x(k) = 2*k**3 + 2*k**3 - 2*k**3 + 4*k**2 + 4. Suppose 0 = -18*t + 19*t + 4. What is t*d(o) - x(o)?
2*o**3
Let t(n) = n**2 + 1. Let z(u) = -7*u**2 - 3. Let d(m) = -6*m**2 - 3. Let s(r) = -3*d(r) + 2*z(r). Determine -s(p) + 6*t(p).
2*p**2 + 3
Let t(k) = 1. Let n(o) = 4*o - 52. Give -6*n(b) - 312*t(b).
-24*b
Let z(k) = -6*k**2 - 7*k + 7. Suppose 6*p - 2*p = 28. Let h(y) = 2*y**2 + 2*y - 2. Give p*h(x) + 2*z(x).
2*x**2
Let b(n) = -3*n**2 + 4*n. Let w(s) = -7*s**2 + 7*s. Let k(t) = 28*t**2 - 27*t. Let j(v) = -2*k(v) - 9*w(v). What is 9*b(u) + 4*j(u)?
u**2
Let z(o) = -4*o - 3. Let c(t) = 2*t + 1. Give 5*c(a) + 2*z(a).
2*a - 1
Let g = 3 - -1. Let m be 18/8*1*-4. Let o(f) = 7*f**3 - 9*f**2 - 4*f - 7. Let w(h) = 3*h**3 - 4*h**2 - 2*h - 3. Determine g*o(i) + m*w(i).
i**3 + 2*i - 1
Let d(p) = 3*p + 3. Let z(n) = 8*n + 1. Let k(l) = -l. Let f(w) = 28*k(w) + 4*z(w). Give -5*d(g) + 4*f(g).
g + 1
Let l(o) = o + 2. Let w(u) = 1. Let k(b) = -39*b + 21. Let c(f) = -11*f + 6. Let x(t) = -18*c(t) + 5*k(t). Let j be x(2). Determine j*w(i) - 2*l(i).
-2*i - 1
Let t = 14 + -12. Suppose m + t = -0*m. Let k(q) = -4*q**3 + 2*q + 3. Let p(c) = -13*c**3 - c**2 + 7*c + 10. Calculate m*p(l) + 7*k(l).
-2*l**3 + 2*l**2 + 1
Suppose 7*y = 11*y - 12. Let l(o) = 2*o + 3. Let m(g) = 5*g + 5. Determine y*m(d) - 5*l(d).
5*d
Let v(t) = -7*t**3 - 8*t**2 - 5*t - 5. Let z(s) = 4*s**3 + 4*s**2 + 3*s + 3. Calculate -3*v(k) - 5*z(k).
k**3 + 4*k**2
Let b(d) = 7*d - 3. Let o(c) = c. What is b(t) - 5*o(t)?
2*t - 3
Let c(u) = -2. Let v(w) = -2. Let m(t) = -5*c(t) + 4*v(t). Let r(o) = -o - 6. What is -7*m(p) - 2*r(p)?
2*p - 2
Let o(k) = -2*k**2 + 11*k + 7. Let y(a) = a**2 - 5*a - 3. Calculate -3*o(p) - 7*y(p).
-p**2 + 2*p
Let j(h) = -h**2 + h - 1. Let o(t) = 12*t**2 - 8*t + 5. Calculate 6*j(v) + o(v).
6*v**2 - 2*v - 1
Let o(y) = -y**3 + y**2 + 1. Let j = -14 - -16. Let z(u) = 6 + 2*u**j + 0 - 4. Give 2*o(h) - z(h).
-2*h**3
Let j(f) = -6*f**3 + 4*f**2 + 4*f + 4. Let r(s) = -s**3 - s**2 - s - 1. Give j(d) + 4*r(d).
-10*d**3
Let b(q) = -7*q + 3. Let h(s) = 11*s - 5. Let u(r) = 8*b(r) + 5*h(r). Let f(a) = a**2 + 4*a + 1. Give -f(o) - 3*u(o).
-o**2 - o + 2
Suppose 3*h = o - 1, -2 = 5*h - 4*o - 5. Let f(m) = m**3 - m**2 + m. Let b(i) = 8*i**3 - 6*i**2 + 6*i - 1. Give h*b(x) + 6*f(x).
-2*x**3 + 1
Let a(n) = 90*n - 12. Let q(g) = 36*g - 5. What is 5*a(z) - 12*q(z)?
18*z
Let w(p) = 7*p + 14*p**3 + 4*p - 1 - 3*p + 8*p**2. Let r(f) = -9*f**3 - 5*f**2 - 5*f + 1. What is 8*r(q) + 5*w(q)?
-2*q**3 + 3
Let d(r) = -3*r**2 - 2*r + 3. Let w(i) = i**2 + i - 1. Let q(z) = d(z) + 2*w(z). Let p(h) = -h**3 + 5*h**2 - 2*h - 3. Calculate p(y) + 5*q(y).
-y**3 - 2*y + 2
Let n(z) = -3*z**2 - 2. Let t(g) = -13*g**2 - 9. Let u = -38 - -20. What is u*n(f) + 4*t(f)?
2*f**2
Let c(j) = -7 + 8 - 2 - 2*j. Let y(i) = i**2 + 8*i + 5. Give 9*c(v) + 2*y(v).
2*v**2 - 2*v + 1
Let w(q) = -114*q - 130. Let g(v) = -23*v - 26. Let h(j) = 16*g(j) - 3*w(j). Let k(p) = 5*p + 5. Let y = 2 + -3. Let r = y - 15. Calculate r*k(a) - 3*h(a).
-2*a - 2
Let z(b) = -2*b**2 + 2*b - 2. Let f(m) = 3*m**2 - 2*m + 2. Let n(p) = -4*f(p) - 5*z(p). Let d(l) = 3*l**2 + 3*l - 2. Give 3*d(q) + 4*n(q).
q**2 + q + 2
Suppose 0 = -5*r + 10 - 20. Let s(h) = -3*h**2 - 2. Let k(v) be the third derivative of v**5/60 + v**3/6 + v**2. Give r*k(w) - s(w).
w**2
Let q(u) = u**2 + 2. Let w(a) = 2*a**2 + a + 4. Suppose -6*o + 4*o + 10 = 0. Determine o*q(r) - 2*w(r).
r**2 - 2*r + 2
Let u(o) = 2 - o + 6*o**2 - 7*o**2 - 2. Let a(t) = -10*t**2 - 10*t + 1. What is 2*a(f) - 18*u(f)?
-2*f**2 - 2*f + 2
Let n = 8 + -7. Let y be (-1 + 4 + -2)/n. Let k(t) = -4*t**2 + 6*t + 6. Let m(j) = -j**2 + 2*j + 0*j + 1 - j. What is y*k(v) - 6*m(v)?
2*v**2
Let t(o) = 1. Let v be 2/(-4) + 3/(-2). Let n be (2 + 3 - 2) + -1. Let x(z) = 0*z**2 + z - 4 + 9 - z**n. Give v*x(g) + 11*t(g).
2*g**2 - 2*g + 1
Let f(j) = 20*j - 1. Let l(u) = u. Calculate -f(o) + 2*l(o).
-18*o + 1
Let p(y) = -15*y**3 + 3*y**2 - 4*y. Let r(i) = 45*i**3 - 8*i**2 + 11*i. Calculate -8*p(f) - 3*r(f).
-15*f**3 - f
Let r(v) = 2*v**2 + 2*v - 3. Let p(y) be the second derivative of y**4/12 + y**3/6 - y**2 + 5*y. Let z = -3 + -1. Let j = 7 + z. Give j*p(x) - 2*r(x).
-x**2 - x
Let o(z) = -10*z**3 - 5*z. Let p(k) = -76 + 76 - 8*k - 15*k**3. Calculate 8*o(d) - 5*p(d).
-5*d**3
Let r(v) = 19*v**3 + 19*v + 19. Let g(t) = -t - 1. Calculate 38*g(h) + 2*r(h).
38*h**3
Let u(z) = 5*z**3 - z**2 - 3*z + 1. Suppose 0 = 3*l - 0 + 6. Let i = 3 + l. Let q(k) = -7*k**3 + 2*k**2 - 2*k**3 + k + 4*k - i. What is 3*q(y) + 5*u(y)?
-2*y**3 + y**2 + 2
Let b(x) = -x**3 + 11*x**2 - 8*x - 4. Let l be b(10). Suppose -l - 8 = 3*i. Let s(f) = -8*f + 2 + 6 - 3*f. Let m(q) = 7*q - 5. Calculate i*m(w) - 5*s(w).
-w
Let d(i) = -4*i**2 + 2*i. Let q(n) = -6*n**2 + 3*n. Let g(v) = v**3 - 5*v**2 - 6*v. Let c be g(6). Suppose j = -5 - c. What is j*q(w) + 8*d(w)?
-2*w**2 + w
Let h(l) = 2*l**3 - 3*l**2 + 3*l - 3. Let j(p) be the first derivative of -5/4*p**4 + 8*p - 2 + 8/3*p**3 - 4*p**2. Suppose 2*r - 3*r = 8. Give r*h(z) - 3*j(z).
-z**3
Let f(y) = 9*y**2 + 6*y + 7. Let v = 102 + -109. Let z(t) be the second derivative of -2/3*t**4 + t - 5/6*t**3 + 0 - 3*t**2. Give v*z(h) - 6*f(h).
2*h**2 - h
Let p(j) = 4*j - 2. Let c be p(-5). Let l(u) = -4. Let a(v) = v + 10. Let k(h) = -2*a(h) - 5*l(h). Let t(x) = -7*x. Give c*k(d) + 6*t(d).
2*d
Let a(i) = -3*i + 11. Let j(h) = -h + 1. Calculate -a(l) + 2*j(l).
l - 9
Let c(w) be the first derivative of w**2 + 2*w - 4. Let z(i) = 3*i + 4. Let r be z(-3). Let q(f) = 3*f + 3. Suppose -2*g + 4 = -10. Calculate g*c(p) + r*q(p).
-p - 1
Let o(i) = 2*i + 7. Let l(z) be the second derivative of 2*z**3/3 + 15*z**2/2 - 4*z. Determine -6*l(b) + 13*o(b).
2*b + 1
Let p(o) = -6*o**3 + 5*o**2 - 2. Let k(s) = 5*s**3 - 4*s**2 + 1. Let h = 12 + -16. Determine h*k(i) - 3*p(i).
-2*i**3 + i**2 + 2
Let z = 2 + 3. Suppose z*p = -18 - 2. Let c(x) = 2*x - 4. Let k(a) = 3*a - 5. Determine p*k(m) + 5*c(m).
-2*m
Let q(n) = -n**2 - 1. Let g be (-18)/(-4) + 2/(-4). Let k(v) be the first derivative of 2*v + 1 + 2*v + 0 + v**3. Determine g*q(m) + k(m).
-m**2
Let u(a) = 18*a**3 + 2*a + 1. Let g(r) = 37*r**3 + 5*r + 2. Determine -2*g(d) + 5*u(d).
16*d**3 + 1
Let u(a) = 4*a + 1. Let p(j) be the second derivative of 7*j**3/6 + j**2 - 2*j + 109. Let b be (5/(-2))/(1/2). Suppose 3*k = 4*k - 3. Calculate b*u(w) + k*p(w).
w + 1
Suppose t = -t + 4. Suppose 0 = -3*p + 12, p - t*p = 2*d - 32. Let r(q) = -q**2 + 2*q. Let n(a) = -4*a**2 + 7*a. Give d*r(z) - 4*n(z).
2*z**2
Let z(w) = -w**3 + 15*w. Let y(u) = -u**3 + 16*u. What is -4*y(t) + 5*z(t)?
-t**3 + 11*t
Let o(n) = -6*n + 3. Let a(w) = -13*w + 7. Let d(u) = -2*a(u) + 5*o(u). Let c(g) = -9*g + 3. Let r = 2 - 0. Suppose r*s = -2*s + 28. Determine s*d(m) - 3*c(m).
-m - 2
Let o(z) = -2*z + 1. Let w 