x).
-x**3 + 2*x + 1
Let u(f) = -7*f**2 + 5*f. Let g(p) = -28*p**2 + 21*p. Determine 5*g(x) - 21*u(x).
7*x**2
Let x(n) = -n. Let g(v) = -8*v - 2. Calculate -g(c) + 5*x(c).
3*c + 2
Let v(l) be the first derivative of l**3 - 3*l**2 + 6*l - 4. Let t(i) = i**2 - i + 1. Determine -4*t(n) + v(n).
-n**2 - 2*n + 2
Let k(w) = -4*w**2 + w - 5. Let a(r) = 3*r**2 - r + 4. Let c be (3 + -3)/2 - -2. Suppose -c*n - 5 = 3*b - 4*b, -5*n + 10 = 5*b. Give b*a(d) + 2*k(d).
d**2 - d + 2
Let s(p) = -42*p**2 - 9. Let c(t) = -43*t**2 - 8. Give -7*c(d) + 6*s(d).
49*d**2 + 2
Let z(j) = 6*j**3 - 13*j**2 + 13*j - 13. Let t(w) = -3*w**3 + 6*w**2 - 6*w + 6. Calculate 13*t(k) + 6*z(k).
-3*k**3
Suppose -16 = -s + 5*l, -s - 2*s - 4*l + 29 = 0. Let n(q) = 8*q**2 - 4. Let f(p) = -15*p**2 + 8. What is s*n(y) + 6*f(y)?
-2*y**2 + 4
Let q(k) = -7*k - 4. Let w(s) = -s**2 - 8*s - 5. Let z(x) = -5*q(x) + 4*w(x). Let b(c) = -23*c**2 + 17*c. Determine -6*b(a) + 34*z(a).
2*a**2
Let x(s) = -2*s**3 + 7*s**2 - 8*s. Let i(a) be the second derivative of -a**4/12 + a**3/6 - 5*a. Determine -6*i(h) - x(h).
2*h**3 - h**2 + 2*h
Let h(t) = -2*t**2 + 2*t + 2. Let x(u) = u**3 - 3*u**2 + 3*u + 3. Give -3*h(z) + 2*x(z).
2*z**3
Let f(h) = -h. Let g(n) be the second derivative of 5*n**3/6 - 5*n. Determine 6*f(l) + g(l).
-l
Let g(i) = -50*i**3 + 7*i + 7. Let v(f) = 17*f**3 - 2*f - 2. Determine -2*g(u) - 7*v(u).
-19*u**3
Let a(s) = -3*s + 8. Let x(w) = -7*w + 16. What is 10*a(n) - 4*x(n)?
-2*n + 16
Let p(b) = -b**3 - 2*b**2 - 2*b - 1. Let m be p(-2). Let r(h) = 2*h**2 + 5*h - 7. Let o(c) = -c**2 - 3*c + 4. Give m*r(s) + 5*o(s).
s**2 - 1
Let p(x) = -2*x - 2. Let h(d) be the second derivative of d**3 + 5*d**2/2 - 2*d - 19. Give 3*h(t) + 8*p(t).
2*t - 1
Let b(x) = 7*x**3 + 5*x**2 + 6*x + 5. Let m(o) = -8*o**3 - 6*o**2 - 7*o - 6. Give 6*b(k) + 5*m(k).
2*k**3 + k
Let w(q) = 70*q - 129*q + 64*q - 8. Let l(s) = 10*s - 17. Calculate -6*l(i) + 13*w(i).
5*i - 2
Let w(c) = 6*c**2 + 4*c. Let g = 8 - 9. Let n(m) = 3*m**2 - m + 0*m - 4*m**2. What is g*w(l) - 4*n(l)?
-2*l**2
Let t(d) = 9*d - 132. Let y(r) = 4*r - 66. Give 2*t(o) - 5*y(o).
-2*o + 66
Let r(n) = n + 4. Let k be r(4). Let q(s) be the third derivative of 0 - 3*s**2 + 0*s + 1/24*s**4 - 1/2*s**3. Let x(v) = 2*v - 8. What is k*q(p) - 3*x(p)?
2*p
Let o(i) = -3*i**3 - 7*i**2 - 6*i - 4. Let x(l) = 3*l**3 + 6*l**2 + 5*l + 3. Give -6*o(a) - 7*x(a).
-3*a**3 + a + 3
Let w(n) = 6*n**2 + 15*n. Let i(q) = -q**2 - q. What is 15*i(a) + w(a)?
-9*a**2
Let k(f) = 6*f**3 + 5*f**2 + f. Let y(i) = 4*i - 3. Let c be y(2). Let s(a) be the second derivative of a**5/20 + a**4/12 - a. Determine c*s(w) - k(w).
-w**3 - w
Let n(d) = -2*d**2 - 5*d + 6. Let z(c) = -2*c**2 - 4*c + 5. Let a(b) = -b**3 - 6*b**2 - 2*b + 9. Let p be a(-5). Let x = 14 - 7. What is p*n(u) + x*z(u)?
-2*u**2 + 2*u - 1
Let k(d) = -d**2 + d + 1. Suppose -8 = 3*r - 5*r - 2*a, -2*a - 4 = -4*r. Let y(h) = -r*h**2 + 7 + h**2 + 0*h - 6*h**2 + 5*h. Give 6*k(c) - y(c).
c**2 + c - 1
Suppose 1 = y - 0*y. Suppose 4*f = -y - 3. Let n(h) = h**2 - 1. Let w(r) = -2*r**3 - 2*r**2 + 3. Determine f*w(c) - 4*n(c).
2*c**3 - 2*c**2 + 1
Let a(u) = -4*u**2 - 3*u - 3. Suppose 4*s - d - 1 = 0, 16 = -s - d - 2*d. Let h(f) = -f**2 - f - 1. What is s*a(c) + 3*h(c)?
c**2
Let f(p) = p**2 + p - 1. Suppose l + 5*o = -20, 0 = -3*o + 1 - 16. Let i(h) = 4*h**2 + 6*h - 7. Determine l*f(m) - i(m).
m**2 - m + 2
Let x(i) = 2*i**2 + 5. Let c(p) be the second derivative of -p**4/12 - 2*p**2 + 7*p. Suppose -2*d - 2 = 3*t, 5*t + 2*d + 15 = d. Determine t*x(a) - 5*c(a).
-3*a**2
Let i(j) = -2*j**2 - j. Let f(s) = -10*s**2 - 4*s - 1. Give 2*f(c) - 11*i(c).
2*c**2 + 3*c - 2
Let b(r) = r**2 - 4*r + 2. Let d(s) = s**2 - 4*s + 2. Determine -6*b(y) + 7*d(y).
y**2 - 4*y + 2
Let b(r) = -7*r**3 - 5*r - 6. Let g(t) = 13*t**3 - t**2 + 9*t + 11. Give 11*b(f) + 6*g(f).
f**3 - 6*f**2 - f
Let v(b) = 29*b**2 + 5*b + 2. Let n(h) = 28*h**2 + 6*h + 2. Determine 3*n(w) - 4*v(w).
-32*w**2 - 2*w - 2
Let x(h) = 3*h**2 + 7*h + 3. Let g(p) = p**2 - 9*p + 13. Let o be g(8). Suppose 12 = -2*m + o*m. Let q(t) = -2*t**2 - 4*t - 2. What is m*x(u) + 7*q(u)?
-2*u**2 - 2
Let v(l) = 4*l**3 + 13*l**2 + 5*l - 5. Let m(f) = -10*f**3 - 32*f**2 - 12*f + 12. Determine -5*m(d) - 12*v(d).
2*d**3 + 4*d**2
Let v(x) = -20*x. Let q = -30 + 36. Let d(g) = -217*g. Let a(s) = -7*s. Let u(h) = -63*a(h) + 2*d(h). Give q*v(t) + 17*u(t).
-t
Let d be (-14)/4 + 1/(-2). Let o(r) = r + 3. Let s(t) = -t - 4. Let n(x) = -5*o(x) - 4*s(x). Let b(v) = 2*v - 1. Calculate d*n(g) - 3*b(g).
-2*g - 1
Let p(i) = i**2 - 2*i + 31. Let h(d) = -3*d**2 + 5*d - 92. Calculate -3*h(b) - 8*p(b).
b**2 + b + 28
Let b(q) = 29*q**2 - 4*q - 3. Let z(s) = -14*s**2 + 2*s + 1. What is -2*b(g) - 5*z(g)?
12*g**2 - 2*g + 1
Let b(m) = 13*m**3 - 2*m**2 - 11*m + 11. Let w(d) = -3*d + 5*d + 10*d + d**2 - 7*d**3 - 6*d - 6. What is -6*b(p) - 11*w(p)?
-p**3 + p**2
Let p(d) = -d - 30. Let x(f) = -f - 29. Calculate 4*p(m) - 5*x(m).
m + 25
Let v(s) = -9*s + 7. Let x(q) be the first derivative of 7*q**2 - 11*q + 13. What is 8*v(p) + 5*x(p)?
-2*p + 1
Let x(f) = -9*f**3 - 3*f**2 + f. Let o(c) = 14*c**3 + 5*c**2 - c. Calculate 5*o(p) + 8*x(p).
-2*p**3 + p**2 + 3*p
Let k(g) = g**3 - g - 1. Let c(o) = 12*o**3 + o**2 - o - 1. Determine c(s) - k(s).
11*s**3 + s**2
Let l(n) = 8*n**3 + 6*n**2. Suppose -20*q + 21*q = -6. Let r(d) = d**3 + d**2. Calculate q*r(c) + l(c).
2*c**3
Let w(s) = -2 - 6*s**2 + s - 5*s**2 + s + 9*s**2. Let c(q) = -q**3 - 5*q**2 + 5*q - 5. Calculate -4*c(f) + 10*w(f).
4*f**3
Let l(w) = -9*w**2 + 21*w - 21. Let m(u) = -u**2 - 10*u + 9. Let a be m(-11). Let v(o) = o**2 - 2*o + 2. Determine a*l(c) - 21*v(c).
-3*c**2
Let f(k) = -5 + 4 + 2*k - k. Let l(d) = -2*d**2 + d - 1. Let v = -7 + 6. Determine v*f(b) + l(b).
-2*b**2
Let f(s) = 22*s**3 - 7*s**2 - 7*s + 7. Let t = -2 + -5. Let v(a) = 7*a**3 - 2*a**2 - 2*a + 2. What is t*v(g) + 2*f(g)?
-5*g**3
Let z(o) = -o - 1. Let l(f) = -14*f - 7. What is l(w) - 5*z(w)?
-9*w - 2
Let q = -3 + -2. Let l(s) = -4*s**2 + 3*s + 3. Suppose -8 = 3*y + 3*c + 13, -2*c = 8. Let a(b) = 7*b**2 - 1 - 6*b + b - 4. Give q*l(p) + y*a(p).
-p**2
Let q(f) = f. Let n(x) = x. Let p(j) = j**2. Let c(d) = n(d) + p(d). Calculate 2*c(z) - 2*q(z).
2*z**2
Let g(t) = -2*t**2 + 4*t - 4. Let a(m) be the first derivative of -3/2*m**2 - 6 + 3*m + 1/3*m**3. Give 4*a(q) + 3*g(q).
-2*q**2
Let o(q) = 2*q**2 + 8*q + 7. Let b(c) = c**2 + 4*c + 3. Calculate -9*b(a) + 4*o(a).
-a**2 - 4*a + 1
Let c(z) = -z**3 + 6*z**2 + 4*z + 6. Let j be (4 - 18)*1/2*1. Let u(b) = 2*b**3 - 11*b**2 - 7*b - 11. Determine j*c(n) - 4*u(n).
-n**3 + 2*n**2 + 2
Let l(f) be the first derivative of 3*f**4/4 + f**3 - 5*f**2/2 + 13. Let w(h) = 2*h**3 + 2*h**2 - 4*h. What is 3*l(a) - 4*w(a)?
a**3 + a**2 + a
Let s(d) = d**3 - d**2 + 1. Let m(j) = 10*j**3 - 23*j**2 - 11*j + 12. Let c(x) = -3*x**3 + 8*x**2 + 4*x - 4. Let k(z) = 11*c(z) + 4*m(z). What is k(y) - 4*s(y)?
3*y**3
Let l(u) be the third derivative of u**6/120 - u**5/20 + u**4/8 + u**3/6 - 5*u**2. Let y(w) = w**3 + 4 + 2 - 4 + 0*w + 5*w - 5*w**2. Calculate 5*l(k) - 3*y(k).
2*k**3 - 1
Suppose 3 = -5*h - 7, -h - 14 = 2*g. Let u(q) = 2*q**2 - 5*q + 3. Let t(w) = -2*w**2 + 4*w + 3*w - w - 4. Give g*u(j) - 5*t(j).
-2*j**2 + 2
Let n(o) = o - 1. Let z(x) = 24*x - 8. Determine 10*n(d) - z(d).
-14*d - 2
Let u(b) = 2*b - 1. Suppose 3*c + 2 = 17. Suppose c*s + 2 = -3. Let z = 2 - 3. Let m(k) = -k. Calculate s*u(i) + z*m(i).
-i + 1
Let s(y) = 3*y - 6. Let g(v) = 12*v - 8*v - 3*v - 1. What is 6*g(r) - s(r)?
3*r
Let x(y) = 17*y**3 - 2*y**2 - y + 2. Let j(c) = 52*c**3 - 7*c**2 - 4*c + 7. Calculate 2*j(u) - 7*x(u).
-15*u**3 - u
Let s(k) = 2*k**3 - 3*k**2 - 3*k + 3. Suppose 4*f + 11 = 23. Let u(x) = -6*x**2 - 2*x - 8 + 0*x**3 + 10 + 4*x**2 + x**3. Determine f*u(b) - 2*s(b).
-b**3
Let b(q) = 5*q**2 - 5*q. Let f(g) = g**2 - g + 1. What is b(c) - 2*f(c)?
3*c**2 - 3*c - 2
Let r(u) = -3*u**3 - 2*u**2 + u - 1. Let f be (-4)/12 + (-2)/3. Let i(x) = x**3 + x**2 - x + 1. What is f*i(b) - r(b)?
2*b**3 + b**2
Let q(a) = -4*a + 1. Let k be (-8)/2 - -2 - -9. Let v = k + -8. Let b be (3 + -1)/v - -4. Let j(l) = 21*l - 5. Determine b*j(x) + 11*q(x).
-2*x + 1
Let r(k) = 4*k**2 - k + 4. Let f(j) = -j**3 + 7*j**2 - 3*j + 7. Determine 4*f(s) - 7*r(s).
-4*s