t f(p) = -p**2 + p + 1. Calculate c*f(z) + a(z).
-2*z**2 + z + 2
Let s(m) = m + 1. Let d(j) be the third derivative of j**4/4 + j**3/6 + 27*j**2. What is d(n) - 3*s(n)?
3*n - 2
Let z(x) = -3*x**2 - 2*x - 6. Let q(r) = 2*r**2 + 2*r + 5. Determine 5*q(w) + 4*z(w).
-2*w**2 + 2*w + 1
Let p(i) = -3*i**3 + 7*i**2 - 4*i + 4. Let x(a) = -a**3 + 4*a**2 - 2*a + 2. Give -4*p(h) + 7*x(h).
5*h**3 + 2*h - 2
Let c be (-2)/(-13) - (-612)/78. Let a(k) = 2*k**3 - 3*k + 2. Let q = -5 + 8. Let i(x) = 6*x**q + 4 + 2 + 4*x - 12*x. Calculate c*a(z) - 3*i(z).
-2*z**3 - 2
Let i(s) = 8*s + 8. Suppose 5*t + 3 = -2. Let o(a) = 4*a + 4. Let j(z) = -z - 1. Let h(r) = -3*j(r) - o(r). Let m be 12/(-9)*9/2. Determine m*h(p) + t*i(p).
-2*p - 2
Let t(g) = 9*g**2 + g + 1. Let k(f) = f. Calculate -2*k(c) + t(c).
9*c**2 - c + 1
Let g(w) = -4*w**2 - 4*w + 7. Let n(b) = -2*b**2 - 2*b + 4. Suppose 3*f = -3*a - 15, -5*f + 6 + 9 = -3*a. What is a*n(z) + 3*g(z)?
-2*z**2 - 2*z + 1
Let t(l) = 2*l**2 + 3*l. Let p(f) = 3*f**2 + 5*f + 1. Let r(b) = -b**2 - 11*b + 3. Let v be r(-11). Suppose 2*m = -v*m - 25. Calculate m*t(j) + 3*p(j).
-j**2 + 3
Let m(i) be the first derivative of i**2/2 - i + 2. Let t(p) = 3*p + 9. Let k(w) = 4*w + 10. Let b(s) = -6*k(s) + 7*t(s). Determine 3*b(x) + 8*m(x).
-x + 1
Let h(q) = -1. Let a(t) = 2*t - 3. What is a(k) - 4*h(k)?
2*k + 1
Let n(t) = -2*t**3 - 3*t**2 + 1. Suppose 2 - 22 = -5*p. Let b = -4 - -1. Let v(h) = -h**3 - 2*h**2 + 1. Calculate b*n(q) + p*v(q).
2*q**3 + q**2 + 1
Let z(i) be the first derivative of i**2/2 + 1. Let w be z(4). Let t(a) = -3*a + 1. Let k(o) = -8*o + 3. Let m be (-12 - 2/(-2))/1. What is m*t(x) + w*k(x)?
x + 1
Let b(f) be the second derivative of 0 + 4*f + 3*f**2 - 1/12*f**4 - 5/6*f**3. Let q = -40 - -23. Let s(c) = 3*c**2 + 14*c - 17. Give q*b(n) - 6*s(n).
-n**2 + n
Let y(d) = 16*d + 5. Let l(h) = 5*h + 2. Give -11*l(j) + 4*y(j).
9*j - 2
Let m(n) = -78*n**2 - 13*n + 13. Let w(a) = -31*a**2 - 5*a + 5. What is 5*m(h) - 13*w(h)?
13*h**2
Let v(w) = 7*w**3 + 11*w**2 + 7. Let q(i) = 5*i**2 - i. Let n be q(1). Let p(r) = 3*r**3 + 5*r**2 + 3. Determine n*v(a) - 9*p(a).
a**3 - a**2 + 1
Let y(j) = -14*j**2 - 17*j - 17. Let f(l) = 5*l**2 + 6*l + 6. Determine 17*f(r) + 6*y(r).
r**2
Let r(i) = i + 1. Let q(b) = 4*b**2 - 4*b - 4. Determine -5*q(g) - 20*r(g).
-20*g**2
Let d(v) = 3 + 0 - 2. Let h(c) = 13*c**2 + 4*c + 9. Let l(q) = 9*q**2 + 3*q + 6. Let p(i) = 5*h(i) - 7*l(i). Suppose g = 3 - 2. Determine g*p(m) - 5*d(m).
2*m**2 - m - 2
Let u(f) = 1. Let x(s) = 29*s - 3. Give -3*u(q) - x(q).
-29*q
Let g(h) = -2*h - 4. Let v(n) = 3*n + 4. Let i(f) = -6*g(f) - 5*v(f). Let p(m) = -2*m + 3. Determine 5*i(k) - 7*p(k).
-k - 1
Let r(x) = -2*x - 4. Let p(a) = -3*a - 4. Let h be p(-3). Suppose 4*n = 2*g + 16, -h*n - g = -2*n - 7. Let d(j) = -j - 3. Calculate n*d(v) - 2*r(v).
v - 1
Suppose 39 = 5*p - 3*c, -2*p - 2*c - 1 = -7. Let d(x) = 4*x**3 - x**2 + 4. Let r(o) = 11*o**3 - 3*o**2 + 11. Give p*r(i) - 17*d(i).
-2*i**3 - i**2 - 2
Let q(o) = o**2 - 2*o + 8. Let z(u) = 2*u**2 - 5*u + 17. Give -5*q(x) + 2*z(x).
-x**2 - 6
Let y(d) = -d + 20. Let b(w) = -10. What is 7*b(f) + 3*y(f)?
-3*f - 10
Let u = 23 - 23. Suppose -w + 5*s = -24, -s = -4*w - u*s + 20. Let m(d) = -7*d**2 + 1. Let a(p) = p**2. What is w*a(n) + m(n)?
-3*n**2 + 1
Let u(q) = -2*q**2 - 3. Let z be (-24)/(-18) + (-2)/(-3). Let a(n) = -2*n**2 + 1 - 2 + n**z. Determine 3*a(i) - u(i).
-i**2
Suppose -4*w = 2*j - 16, 0 = -5*j - w + 4 + 18. Let u(f) = 5*f**3 - 3*f**2 - 2*f + 3. Let z(x) = 6*x**3 - 4*x**2 - 3*x + 4. What is j*u(a) - 3*z(a)?
2*a**3 + a
Let n(b) = -6*b + 2. Let i(g) = 6*g - 2. Give 4*i(u) + 5*n(u).
-6*u + 2
Let m(l) = l**3 + 8*l**2 + 8*l - 12. Let z be m(-6). Let r(q) = -8*q**2. Let s(h) = h**2. Determine z*s(i) + r(i).
4*i**2
Let o(f) = -11*f**2. Let b(j) = -143*j**2. Give -6*b(d) + 77*o(d).
11*d**2
Let i(o) be the third derivative of 0*o - 4*o**2 - 1/60*o**5 - 1/3*o**3 + 0 + 1/12*o**4. Let f(v) = 11*v - 9 - 1 - 6*v**2 + 0. Give -2*f(z) + 11*i(z).
z**2 - 2
Suppose -4*z = 5*r + 10, -2*r - 4*z - 4 = -2*z. Let y = -57 + 60. Let w(a) = 2*a + 1. Let x(f) = 2*f + 2. Give r*x(k) + y*w(k).
2*k - 1
Let y(a) = -a**2 - a. Let n(q) = -q - 5. Let c be n(12). Let z = c - -14. Let t(h) = -4*h**2 - h. Give z*y(x) + t(x).
-x**2 + 2*x
Let l(r) be the first derivative of r**2 - 2*r + 21. Let j(t) = -4*t + 5. Give 6*j(n) + 13*l(n).
2*n + 4
Let v(n) = -5*n**3 + 9*n**2 - 6*n - 1. Let a(f) = -4*f**3 + 9*f**2 - 5*f - 1. What is 6*a(z) - 5*v(z)?
z**3 + 9*z**2 - 1
Suppose 11*q - 5*q = -54. Let d(s) = 5*s. Let o(y) be the third derivative of 11/24*y**4 + 0 - 2*y**2 + 0*y + 0*y**3. Determine q*d(g) + 4*o(g).
-g
Let a(o) = 3*o + 8. Let s(v) = -13*v - 31. What is -9*a(j) - 2*s(j)?
-j - 10
Let f(y) = y**2 - y + 1. Let r(o) = 7*o**2 - 9*o + 6. Give 4*f(c) - r(c).
-3*c**2 + 5*c - 2
Let p be 66/(-5) + (-2)/(-10). Let k(i) = 9*i + 7. Let g(n) = 4*n + 3. Calculate p*g(r) + 6*k(r).
2*r + 3
Let r(j) = j**2 + 4*j + 2. Let w(v) be the second derivative of -v**3/6 + 7*v. Give r(q) + 5*w(q).
q**2 - q + 2
Suppose -w + 9 = 2*z + 2*w, 0 = -z + w + 2. Let a(v) = v + 1. Let l(p) = -5*p - 4. Let g be (-9)/2 + 4/(-8). Let q = g - -6. Calculate q*l(s) + z*a(s).
-2*s - 1
Let z(s) = -8*s**3 + 8*s**2 - 1. Let u(c) be the first derivative of -15*c**4/4 + 5*c**3 - 2*c + 33. Give 6*u(o) - 11*z(o).
-2*o**3 + 2*o**2 - 1
Let z(v) = v**2 - v - 4. Let g be z(3). Let l(p) = -2*p**2 + 4*p**2 - p**3 + 3*p**g - 2 - 3*p**2. Let a(b) = -5*b**3 + 10*b**2 - 11. What is 2*a(u) - 11*l(u)?
u**3 - 2*u**2
Let q(j) = 14*j. Let i(z) = 3*z. Let n(c) = 22*i(c) - 4*q(c). Let w(a) = a. Calculate n(u) - 6*w(u).
4*u
Let i(d) = 10*d + 8. Let c(n) = n + 1. What is -8*c(x) + i(x)?
2*x
Let d(n) = 2*n**2 + 4*n - 4. Let g(m) = -4*m**2 - 9*m + 9. Suppose -3*p = -26 - 13. Let x = -48 - -54. Calculate p*d(k) + x*g(k).
2*k**2 - 2*k + 2
Let u(n) = -2*n**2 + 2. Let k(l) = -6*l**2 - l + 7. Suppose 5*b - 50 = 5*i, -1 = -0*i - 2*i - 5*b. Determine i*u(d) + 2*k(d).
2*d**2 - 2*d
Let m(d) = -1. Let k(f) = 6. Let j(g) = -k(g) - 5*m(g). Let l(c) be the second derivative of -c**4/6 - 2*c**2 + c. Give -4*j(r) + l(r).
-2*r**2
Let g(r) = 9*r - 19. Let a(y) = 8*y - 18. Determine -6*a(x) + 5*g(x).
-3*x + 13
Let v(k) = -k + 2. Let j(h) = 15*h + 17. Let n be j(-1). Let d(x) = -9. Let w(r) = -4. Let b(t) = -6*d(t) + 13*w(t). Give n*v(o) - b(o).
-2*o + 2
Let v(j) = -j - 1. Let q(n) = 2*n + 1. Calculate -q(o) + 2*v(o).
-4*o - 3
Let b(w) = -6*w - 2. Let l(s) = -19*s - 7. Give 7*b(a) - 2*l(a).
-4*a
Let p(j) = -11*j**3 + 4*j**2 - 4*j - 6. Let w(u) = 10*u**3 - 3*u**2 + 3*u + 5. Give 3*p(h) + 4*w(h).
7*h**3 + 2
Let b(r) = -2*r**2 + 4*r - 2. Let o(k) = -4*k**2 + 7*k - 3. What is 5*b(n) - 3*o(n)?
2*n**2 - n - 1
Suppose -2*r + 4*r = 0. Let b(u) = 0 - 1 + r. Let z(c) = c. Determine -b(k) + z(k).
k + 1
Let n(g) = 7*g**2. Let f be 4*(-44)/(-16) - 5. Let h(c) = -7*c**2. Determine f*h(y) + 7*n(y).
7*y**2
Let m(v) = -2*v**2 + 3*v - 7. Let n(k) = 4*k**2 - 5*k + 13. Calculate -7*m(r) - 4*n(r).
-2*r**2 - r - 3
Suppose -10 = -4*a + 10. Let o(g) = 6*g - 6. Let u(w) = 5*w - 5. What is a*u(x) - 4*o(x)?
x - 1
Let t(x) = x - 2*x**2 + 21 - 17 - 13. Let w(v) = v**2 + 4. Calculate 4*t(k) + 9*w(k).
k**2 + 4*k
Let q(h) = h**2 - 5*h - 2. Let f(s) = 5*s**2 - 13*s - 5. Let m(y) = y**2. Let w(a) = 2*f(a) - 4*m(a). Suppose t = -4*t - 80. What is t*q(d) + 3*w(d)?
2*d**2 + 2*d + 2
Let m(f) = f**2 + f. Let o(x) = 3*x**2 + 4*x - 20. Determine -4*m(s) + o(s).
-s**2 - 20
Let o = -2 - 0. Let j = o - -5. Let b(h) = -3*h + 3*h + 2*h**2 - h**j. Let r(q) = -q**3 + q**2. Give -2*b(i) + 3*r(i).
-i**3 - i**2
Let n(k) = k**2 - 1. Let y = -44 - -47. Let z(f) = 2. Determine y*n(p) + z(p).
3*p**2 - 1
Let q(b) = b + 11. Let r(o) = 1. What is -q(p) - 5*r(p)?
-p - 16
Let p(t) = -2*t**3 - 7*t**2. Suppose 4*w = 3*j + 3, j - 12 = 2*j - 5*w. Let m(r) = -r**2 - 3*r**2 + r**2 - r**j + 0*r**2. Determine 7*m(a) - 3*p(a).
-a**3
Suppose 2*z - 5*z + 9 = 0. Let b(d) = d + 2 - 3 - 3. Let p be b(z). Let v(k) = -k - 1. Let r(g) = -2*g - 2. What is p*r(y) + v(y)?
y + 1
Let l(h) = -8*h**3 - 3*h**2 + 5*h - 1. Let r(m) = m**3 + m**2 - m. What is -l(k) - 3*r(k)?
5*k**3 - 2*k + 1
Let o(n) = -8*n**2 - 2. Let f(i) = -1. Give 2*f(p) - o(p).
8*p**2
Let u(b) = -b - 1. Let n(c) 