 Determine 12*a(x) - q(x).
-20*x + 2
Let m(t) = -18*t**2 + 18. Let q(d) = 1. Determine m(p) - 18*q(p).
-18*p**2
Let a(v) = -4*v**3 + 2*v**2 - 3*v + 3. Let j(p) = 5*p**3 - 2*p**2 + 4*p - 4. Suppose 0 = -2*n - n - 12. Calculate n*a(l) - 3*j(l).
l**3 - 2*l**2
Let m(n) = n**2 - n + 1. Let i(s) = 5*s**2 - 4*s - 11. Determine -i(r) + 3*m(r).
-2*r**2 + r + 14
Let y(c) = c - 1. Let w(d) = -9*d + 4. Determine -w(r) - 5*y(r).
4*r + 1
Let u be (-4)/(-22) - 630/77. Let j(l) = 5*l - 5. Let h(t) = 14*t - 14. What is u*j(o) + 3*h(o)?
2*o - 2
Let z(l) = 4*l + 10. Let u(b) = -b - 2. Determine 14*u(h) + 3*z(h).
-2*h + 2
Let j(x) = 15*x**2 + 18*x + 18. Let d(z) = 2*z**2 + 2*z + 7. Let y(p) = p**2 + p + 3. Let u(b) = 2*d(b) - 5*y(b). Give -j(s) - 18*u(s).
3*s**2
Let d(n) = 3*n. Let p(z) = 6*z. Let l = 3 - 12. Determine l*d(w) + 4*p(w).
-3*w
Let q(d) = -344*d**2 - 43*d + 43. Let k(g) = -49*g**2 - 6*g + 6. Determine 43*k(a) - 6*q(a).
-43*a**2
Let m(p) = 9*p + 4. Let u(w) = -4*w - 2. Let i = -29 - -36. Suppose -s + v + 0*v = 0, -3*v + 9 = 0. Let c = s + 0. Give c*m(f) + i*u(f).
-f - 2
Let c be 0 + (-3 - -2 - -1). Let n(b) = c*b + b - 2 - 5 + 3. Let o(q) = -q + 5. Give 6*n(t) + 5*o(t).
t + 1
Let n(p) be the second derivative of p**3/3 + 2*p**2 - p. Let d = -7 + 10. Let o(g) be the first derivative of -g**2/2 - 3*g + 1. Calculate d*n(j) + 4*o(j).
2*j
Let l(p) be the third derivative of p**3/6 + p**2. Let i be (6*(-2)/(-8))/(4/(-8)). Let q(g) = -g**2 + g - 1. What is i*l(h) - 2*q(h)?
2*h**2 - 2*h - 1
Suppose -y + 2 + 3 = 0. Suppose 16*t = 10*t + 18. Let h(o) = -o + 2. Let n(r) = 2*r - 4. Calculate t*n(x) + y*h(x).
x - 2
Let w(s) = -2*s**3 + 3. Let n be (-1)/(3 + (-3)/((-18)/(-16))). Let d(h) = 3*h**3 - 5. Determine n*d(v) - 5*w(v).
v**3
Let q(h) = 160*h - 70. Let i(m) = -7*m + 3. Give 70*i(n) + 3*q(n).
-10*n
Let m(s) = s**2 + s - 1. Suppose 0 = -y + 1. Let b(w) = w - 2. Let q be b(-2). Let n = -2 - q. Let g(x) = -x**2 - 4*x + 4. Calculate n*m(z) + y*g(z).
z**2 - 2*z + 2
Let i(f) be the second derivative of f**4/12 - 4*f**3/3 - 9*f**2/2 + 6*f. Let t(v) = -v - 1. Give -2*i(r) + 18*t(r).
-2*r**2 - 2*r
Let g = -7 - 9. Let f = 10 + g. Let w(i) = -i**2 - 7*i + 1. Let x(y) = 2*y**2 + 13*y - 2. Determine f*x(l) - 11*w(l).
-l**2 - l + 1
Suppose -2 = 2*u + 6. Let i(s) be the first derivative of 7*s**3/3 - 5*s**2/2 - 5*s - 1. Let r(h) = 6*h**2 + 1 - 5 + 0*h**2 - 4*h. What is u*i(j) + 5*r(j)?
2*j**2
Let u(x) = 5*x**3 - 7*x**2 + 3*x - 2. Let l(h) = -14*h**3 + 21*h**2 - 8*h + 6. Determine -4*l(s) - 11*u(s).
s**3 - 7*s**2 - s - 2
Let a = -101 - -100. Let c(j) = j**2 - 1. Let y(v) = 4*v**2 + v - 3. Give a*y(b) + 3*c(b).
-b**2 - b
Let c(l) = -30603*l + 1717. Let x(a) = -107*a + 6. Calculate 6*c(h) - 1717*x(h).
101*h
Let m(b) = -20*b + 3. Let c(u) = -60*u + 8. Calculate 3*c(g) - 8*m(g).
-20*g
Let l(d) = d + 1. Let i(r) = 13*r**2. Let o be i(1). Let t(x) = -11*x - 7. Let f(q) = 1 - 5 - 2 + 3 - 5*q. Let j(w) = o*f(w) - 6*t(w). Determine j(z) - 2*l(z).
-z + 1
Let b(r) = -8*r**2 + 4*r + 10. Let m(f) = 7*f**2 - 5*f - 9. Let k(j) = 2*b(j) + 3*m(j). Let a(w) = -2*w**2 + 3*w + 3. Determine 14*a(x) + 6*k(x).
2*x**2
Let l(g) = 7*g - 7. Let p(v) = -7*v + 6. Calculate -4*l(c) - 5*p(c).
7*c - 2
Let c(r) = 5*r**3 + 6. Let m(u) = u**3 + 1. Let x = 22 - 21. Determine x*c(p) - 6*m(p).
-p**3
Let g(u) be the second derivative of u**4/6 - u**3/3 - 3*u**2/2 + 27*u. Let w(j) = -8*j**2 + 9*j + 13. Determine 18*g(q) + 4*w(q).
4*q**2 - 2
Let u(q) = -4*q + 1. Let w(l) = l. Let p(f) = -6*f. Let i(m) = -3*p(m) - 21*w(m). Determine -3*i(o) + 2*u(o).
o + 2
Let g(j) = 4*j + 3*j**2 - 2*j**2 + 2*j**2. Let d(f) = f**2 - f. Let v be d(2). Suppose 2 = -4*t - v. Let k(r) = -r**2 - r. What is t*g(c) - 2*k(c)?
-c**2 - 2*c
Let x(v) = v**3 - v. Let g(c) = 19*c. Determine 2*g(r) + 38*x(r).
38*r**3
Let r(l) = 4*l + 5. Let t(x) = 3*x + x + 6 + 4 - 4. Determine -7*r(u) + 6*t(u).
-4*u + 1
Let f(d) = -8*d**2 - 8*d. Suppose -5*z + 30 = -0*z. Let q(t) = 7*t**2 + 7*t. What is z*q(a) + 5*f(a)?
2*a**2 + 2*a
Let b(f) = -5*f - 6. Let v(q) = 4*q + 5. Let o(a) = 5*b(a) + 6*v(a). Let n(c) = -c**2 - c. Give n(w) - o(w).
-w**2
Let o(p) = -p**3 + p**2 - p. Let v(f) = -3*f - 4*f**3 + 5*f**2 + 3*f - 5*f. Determine 5*o(a) - v(a).
-a**3
Let k(g) = 6*g**3 - g**2 + g + 3. Let d(u) = -3*u**3 + u**2 - 1. Calculate 5*d(s) + 2*k(s).
-3*s**3 + 3*s**2 + 2*s + 1
Let q(g) = 7*g + 9. Let z(v) = 3*v - 4*v + 4*v + 4. Suppose -3*x - 3 = -4*p - 1, -5*p = 2*x - 14. Calculate p*q(a) - 5*z(a).
-a - 2
Let p(k) = -9*k**3 - 7*k**2. Let t = 39 + -53. Let j(x) = x**3 + x**2. Calculate t*j(l) - 2*p(l).
4*l**3
Let y(s) = s. Let x(w) be the second derivative of w**2 - w. Calculate -x(o) - 2*y(o).
-2*o - 2
Let s(x) = 7*x**3 + 6*x**2 - 6*x. Let u be 1 - ((-6)/(-2) + -4). Let c(o) = -18*o - 31*o**2 + 13*o**3 + 7*o + 42*o**u. What is -6*c(v) + 11*s(v)?
-v**3
Let q = 0 - -2. Let x(o) = o + o + 0*o + q - 4*o. Let g(r) = -r**2 - 11*r + 11. Give 2*g(b) - 11*x(b).
-2*b**2
Let k(h) = 5*h + 4. Let n(x) be the third derivative of x**4/6 + 2*x**3/3 - 20*x**2. What is -3*k(v) + 4*n(v)?
v + 4
Let q(h) = -8*h + 1. Let c(m) = 4*m. Calculate 5*c(r) + 2*q(r).
4*r + 2
Let k(u) = -u - 3. Let j be k(-4). Let v(m) = m**3 + 2*m**2 + 3*m - 1. Let p(q) = q - 1. Give j*v(y) - 3*p(y).
y**3 + 2*y**2 + 2
Let l(t) = t**2 - 8*t + 2. Suppose -9*z + 6 = -12. Let n(m) be the first derivative of -1/3*m**3 + 7/2*m**2 + 1 - z*m. What is 5*l(c) + 6*n(c)?
-c**2 + 2*c - 2
Let q(b) = -7*b**3 + b**2 + 5*b - 5. Suppose -z + 8 = 3*z. Suppose 16 = z*i + 20. Let p(n) = -3*n**3 + 2*n - 2. Calculate i*q(x) + 5*p(x).
-x**3 - 2*x**2
Let w(a) = 189*a**2 - 21*a. Let n(x) = 47*x**2 - 5*x. What is 21*n(l) - 5*w(l)?
42*l**2
Let r be (-2)/((-6)/4 - (-4)/(-8)). Let s(h) = h**3 - 2*h**2 + h + 1. Suppose 5*k = 25, 40 = 5*g - 2*k + 7*k. Let n(z) = 0 - g + 2 - z. What is r*s(l) + n(l)?
l**3 - 2*l**2
Let v = -6 - -11. Let y = 1 + v. Let f(w) = 27*w**2 - 10*w**2 + 3 + 4*w + 10. Let a(d) = 8*d**2 + 2*d + 6. Give y*f(x) - 13*a(x).
-2*x**2 - 2*x
Suppose 0 = b - 4 + 2. Let d(v) = -2*v. Let z(l) be the third derivative of -l**3/6 + l**2. Calculate b*z(s) + d(s).
-2*s - 2
Let f(h) = -3*h - h**3 + 3*h**3 - 8*h**3 - 3*h**2. Let x(c) = -7*c**3 - 4*c**2 - 4*c. Calculate 4*f(u) - 3*x(u).
-3*u**3
Let l(y) = 5*y**3 + 4*y. Let p(o) = 19*o**3 + 15*o. Calculate -22*l(n) + 6*p(n).
4*n**3 + 2*n
Suppose -4*y - 2*t + 24 = 0, y - 3*t - 11 = 2. Let f(j) = 11*j**2 + 7*j + 7. Let i(x) = -6*x**2 - 4*x - 4. Give y*i(m) + 4*f(m).
2*m**2
Let d(q) = -q - 1. Let m(x) = 12*x + 4. What is 5*d(f) + m(f)?
7*f - 1
Let y(w) = -13*w**3 - 6*w**2 + 6*w + 4. Let f(n) = -25*n**3 - 11*n**2 + 11*n + 7. Give -6*f(v) + 11*y(v).
7*v**3 + 2
Let h(x) = 7*x**3 + 4*x**2 + 4*x - 4. Let v(b) = 20*b**3 + 11*b**2 + 11*b - 11. Suppose c + 2*o + 3 = -3, 4*c - 21 = o. What is c*v(w) - 11*h(w)?
3*w**3
Let s(t) = 5*t**3 + 8*t**2 + 8*t. Let v(m) be the second derivative of m**5/10 + m**4/4 + m**3/2 - 7*m. Give 3*s(z) - 8*v(z).
-z**3
Let k(t) be the second derivative of -t**3/6 + 2*t**2 + 2*t. Suppose 5*g = 12 - 2. Suppose g*u + 1 + 3 = 0. Let l(s) = 2. Calculate u*k(r) + 3*l(r).
2*r - 2
Let s(u) = u**3. Let m(c) be the first derivative of -3*c**5/20 + c + 3. Let p(v) be the first derivative of m(v). Calculate -p(o) - 2*s(o).
o**3
Let q(i) = 2*i - 11. Let p(b) = b - 1. Let k(d) = -5*p(d) + q(d). Let g(c) = -7*c - 13. What is -6*g(y) + 13*k(y)?
3*y
Let j(c) = -13*c**3 - 3*c**2 - 3*c - 3. Let p(t) = 300*t**3 + 70*t**2 + 70*t + 70. Determine 70*j(r) + 3*p(r).
-10*r**3
Suppose j + 5*o - 2 = o, -5*j = -2*o - 10. Let n(k) = -3 - j - k + 4. Let v(c) = -4*c**2 + 2*c + 0 + 2 + 5*c**2. What is 2*n(z) + v(z)?
z**2
Let o(d) = 8*d + 7. Suppose -8*q - 130 = 2*q. Let c(g) = 17*g + 15. Calculate q*o(r) + 6*c(r).
-2*r - 1
Let c(d) = -24*d**2 - 3*d - 3. Let b(n) = -23*n**2 - 2*n - 2. Calculate 3*b(s) - 2*c(s).
-21*s**2
Let y(k) = 4*k + 2. Let g(m) = 5*m + 21. Let r(b) = -3*b - 10. Let x(q) = 6*g(q) + 13*r(q). Calculate -3*x(d) - 7*y(d).
-d - 2
Let t(d) = d**3 + 2*d**2 - d - 2. Let a be t(-1). Suppose a = -9*k + 10*k + 6. Let r(g) = -1. Let u(x) = x + 8. Give k*r(h) - u(h).
-h - 2
Let a(s) = -s**2 - 1. Let g(p) = 6*p**3 + 3*p**2 - 2*p + 4. Determine -3*a(z) - g(z).
-6*z**3 + 2*z - 1
Let t be 1*4 - (-2 + 2). Let