3 - 2
Let v(a) = -a**3 + 2*a**2 + 2*a - 3. Let j(f) = -2*f**3 + 3*f**2 + 3*f - 3. Determine 2*j(h) - 3*v(h).
-h**3 + 3
Suppose 2*h - 4*h - 10 = 0. Suppose 8*y - 35 = 3*y. Let q(c) = -2*c**2 - 5*c + 5. Let o(z) = -3*z**2 - 7*z + 7. Calculate h*o(t) + y*q(t).
t**2
Let x(z) = 2*z**3 + 6*z**2 + 23*z - 20. Let i(k) = k**3 + 2*k**2 + 8*k - 7. What is 17*i(a) - 6*x(a)?
5*a**3 - 2*a**2 - 2*a + 1
Let m(o) = -2*o**2 - 8*o + 2. Let c = 11 + -5. Let s(r) = -c + 6*r**2 + 2*r + 2*r + 19*r. Let p = -10 + 16. Give p*s(j) + 17*m(j).
2*j**2 + 2*j - 2
Let f(w) = -w**2 - w - 3. Let b(p) = 5*p**2 + 6*p + 16. Give -2*b(l) - 11*f(l).
l**2 - l + 1
Let m(i) = 3*i + 2. Let u(c) = 16*c + 11. Suppose 1 + 1 = l. Give l*u(a) - 11*m(a).
-a
Let m be 5*(-1 - 3)/4. Let w(s) = -11*s**3 - 6*s**2 + 6*s + 8. Let q(o) = -7*o**3 - 4*o**2 + 4*o + 5. Calculate m*w(z) + 8*q(z).
-z**3 - 2*z**2 + 2*z
Let h(l) = -4*l**3 + 11*l**2 + 5*l. Let u(f) = -2*f**3 + 5*f**2 + 2*f. Let c = 36 + -31. Calculate c*u(o) - 2*h(o).
-2*o**3 + 3*o**2
Let g(j) = j + 2. Let s(k) = -k**3 - 2*k**2 - 3. Let d be s(-3). Let a(t) = 2*t + 3. What is d*g(x) - 4*a(x)?
-2*x
Let x = 68 + -70. Let c(t) = 3*t**3. Let g(o) = -o**3. Determine x*c(v) - 4*g(v).
-2*v**3
Let d(b) = 22 - 48 + 24 - b**2. Let x be 2 + 0 + 0 - 0. Let y(o) = o + 4 - 5 + x. What is -d(w) - y(w)?
w**2 - w + 1
Let n(p) = 3 + 3 - 5. Let g(r) = 2 - r - 6 + 1. Calculate 2*g(x) + 5*n(x).
-2*x - 1
Let a(n) = 2*n**3 + 2*n + 1. Let k(m) be the second derivative of -2*m**5/5 - 3*m**3/2 - 3*m**2/2 + 2*m. Determine 9*a(o) + 2*k(o).
2*o**3 + 3
Let o(z) = z**3 - z - 5. Let v(c) = -c**3 + 4*c**2 + c + 4 - 4*c**2. Let w = -52 + 55. What is w*o(m) + 4*v(m)?
-m**3 + m + 1
Let h(o) = -3*o + 4. Suppose s = -3*s + 16. Let c(p) = 26*p - 32. Let q(t) = -9*t + 11. Let j(z) = -4*c(z) - 11*q(z). Give s*j(v) - 7*h(v).
v
Suppose -3*c = 2*k - 16, -k = 2*c + c - 11. Let m(x) = 1 - 7*x - 11*x + 18*x - x**2. Let l(y) = -3*y**2 - y + 2. Give c*m(h) - l(h).
h**2 + h
Let h(r) = -5*r**3 - 6*r**2 + 6*r. Let b(g) = -5*g + 5*g**2 - 2*g**3 + 3*g**3 + 3*g**3. Let v(y) = 2*y**3 + y**2 + 6. Let i be v(0). Determine i*b(u) + 5*h(u).
-u**3
Let t(w) = 0*w - 3 + 1 + 3*w. Let d(i) = i**2 - 4*i + 3. Let r = 92 + -95. Give r*t(u) - 2*d(u).
-2*u**2 - u
Let i(b) = -b**3 - b**2 - b + 1. Let z(v) = -2*v**3 - 4*v**2 - 4*v + 7. What is 4*i(o) - z(o)?
-2*o**3 - 3
Let v(a) = a + 2. Let i = -61 - -119. Let g be 8/36 + i/(-18). Let q(d) = -d - 2. What is g*v(o) - 2*q(o)?
-o - 2
Let n(b) = -b**3. Let v(r) = -2*r**3 - 3*r**2 - r. Suppose -3*q + 5 = -2*q, 4*p - 2*q + 14 = 0. What is p*v(z) + 4*n(z)?
-2*z**3 + 3*z**2 + z
Let q(c) = -c**2 + 1. Let o(a) = -14*a**2 - 10*a**2 + 23*a**2 + 2 - 1. Calculate 7*o(p) - 6*q(p).
-p**2 + 1
Let z(j) = -5*j**2 - 2*j - 4. Let t(w) = 20*w**2 + 9*w + 17. What is 2*t(v) + 9*z(v)?
-5*v**2 - 2
Suppose -2*o - 4*s + 3*s - 9 = 0, -3 = 3*o - 2*s. Let u(y) = 2*y**2 + y - 3. Let i(t) = t**2 - 1. What is o*i(w) + u(w)?
-w**2 + w
Let t(i) = -9*i - 10*i + 5 + 14*i. Let v(r) = -14*r + 14. Suppose 4*u - 17 = 7. Calculate u*v(m) - 17*t(m).
m - 1
Suppose f = t, t - 12 = -3*f - 2*t. Let w(a) = -a**3 - a**2 + a - 1. Let g(i) = -i**3 - 3*i**2 + 3*i - 3. Determine f*g(x) - 6*w(x).
4*x**3
Let x(k) = 3*k**2 + 6*k. Let m(z) = -z**2 - 3*z. What is 7*m(u) + 3*x(u)?
2*u**2 - 3*u
Let a(h) = -1. Let f(d) = -3*d + 5. What is -15*a(n) - 3*f(n)?
9*n
Let w(v) = -v**2 - v + 1. Let d(b) = 4*b**2 + 6*b - 5. Let r = -30 + 24. Determine r*w(k) - d(k).
2*k**2 - 1
Let x(a) = 2*a**2 + 4*a - 5. Let b(l) = -3*l**2 - 4*l + 4. What is -6*b(f) - 5*x(f)?
8*f**2 + 4*f + 1
Let s(d) = 3*d + 5. Let i(g) = 8*g + 14. Calculate 6*i(c) - 17*s(c).
-3*c - 1
Let n(a) be the first derivative of a**4/2 - 2*a**2 - 4*a - 6. Let i(z) = -2*z**3 + 3*z + 3. Calculate 4*i(j) + 3*n(j).
-2*j**3
Let h(q) = -q**2 - 6*q + 4. Let a(p) = p - 1. Let s(o) = -o + 1. Let w be s(1). Suppose 3*r + 6 = -3*k - 0*k, w = 5*r - 5*k + 50. Calculate r*a(b) - h(b).
b**2 + 2
Let d(t) = t**2 + 3. Let y(c) = -c**2 - 10*c - 26. Let r be y(-7). Let q(h) be the first derivative of h - 1. Give r*q(a) + 2*d(a).
2*a**2 + 1
Let m(d) = -9*d. Let u(a) = -4*a. Let r = -43 - -60. Suppose 2*b = -b + 5*f + 31, 5*f = -4*b - r. Determine b*m(t) - 5*u(t).
2*t
Let o(f) = 10*f**3 + 26*f. Suppose -3*l + 7 = 55. Let a(h) = -3*h**3 - 3*h - 2*h + h**3. Calculate l*a(m) - 3*o(m).
2*m**3 + 2*m
Let u(n) = 14*n**3 + 5*n**2 - 6*n + 29. Let f(b) = -5*b**3 - 2*b**2 + 2*b - 10. Give 11*f(d) + 4*u(d).
d**3 - 2*d**2 - 2*d + 6
Let v(t) = -4*t**3 + 9*t**2 + 5*t - 11. Let o(u) = -2*u**3 + 5*u**2 + 3*u - 6. Let f(h) = 2*h + 9. Let g be f(-6). What is g*v(l) + 5*o(l)?
2*l**3 - 2*l**2 + 3
Let k(q) = -6*q - 6. Let d = 7 - 1. Let z(o) = 6 - 5*o - 2 + 12*o + 3. What is d*k(h) + 5*z(h)?
-h - 1
Let a(u) = 8*u**2 - 6*u + 63. Let w(s) = 7*s**2 - 5*s + 62. Determine 5*a(k) - 6*w(k).
-2*k**2 - 57
Let j(x) = x**2 - 6. Suppose 16 = -10*n + 8*n. Let r(w) = -2. What is n*r(a) + 3*j(a)?
3*a**2 - 2
Let j(w) = -w**2 - 6*w + 6. Let g be j(-5). Let q(k) = 2*k - 4. Let o be 2/(1 - 0) + 2. Let a(b) = -5*b + 11. Determine g*q(u) + o*a(u).
2*u
Let b(i) = -3*i + 5. Let m(g) = -g**3 - 2*g**2 + 3*g - 2. Suppose w = -2*w + 12. Let o = 1 - w. Let r be m(o). Let l(h) = h - 2. Give r*b(v) - 5*l(v).
v
Let x(j) = 5*j**3 - 2*j**2 - 8*j - 4. Let d(b) = -4*b**3 + 2*b**2 + 7*b + 3. What is 4*d(h) + 3*x(h)?
-h**3 + 2*h**2 + 4*h
Let x(y) = 6*y**2 + 3*y - 2. Let h = 74 - 78. Let t(d) = 13*d**2 + 7*d - 5. Give h*t(l) + 9*x(l).
2*l**2 - l + 2
Let s(t) = 7*t**3. Let l(n) = 2*n**3 + 7*n**2 - 7. Let w(p) = -p**2 + 1. Let g(h) = -2*l(h) - 14*w(h). Let b = -22 - -33. Determine b*g(o) + 6*s(o).
-2*o**3
Let v(f) = 3*f**2 - 7*f. Let z(i) be the second derivative of -i**4/12 + i**3/3 + 16*i. What is -6*v(k) - 21*z(k)?
3*k**2
Let h(v) = -10*v - 3. Let q(r) = -3*r - 1. Let a(l) = 2*h(l) - 7*q(l). Let w(g) = 2*g + 7. Determine -4*a(i) + w(i).
-2*i + 3
Let l(x) = -6*x + 3*x + 3*x - x. Let o(r) = 2*r. Let t(c) = -c. Let s(b) = 4*o(b) + 5*t(b). Determine 8*l(z) + 3*s(z).
z
Let k = -15 - -12. Let o(m) = -m**2 - 5. Let n(z) = z**2 + 3. Suppose 1 - 7 = -2*c. Suppose c*y + 10 = y. Give k*o(a) + y*n(a).
-2*a**2
Let u(x) = -3*x**2 - 3*x + 2. Let t(b) = 2*b**2 + 3*b - 2. Determine 4*t(i) + 3*u(i).
-i**2 + 3*i - 2
Suppose 4 = -3*y - 5. Let w(g) = -3*g + 5. Let j be w(4). Let x(h) = -9*h - 2. Let v(r) = 4*r + 1. What is j*v(z) + y*x(z)?
-z - 1
Let p(o) = 5*o**2 - 4*o + 7. Let x(l) = -2*l**2 + 2*l - 2. Let b(v) = -v**2 + v - 1. Let f(n) = -5*b(n) + 2*x(n). Calculate 6*f(z) - p(z).
z**2 - 2*z - 1
Let c(w) = -2*w**2 + 8. Let j(a) be the first derivative of -2*a**3/3 + 7*a + 2. Determine -6*c(b) + 7*j(b).
-2*b**2 + 1
Suppose 0 = -5*u - 4*i - 1, -6*u + 3*u = 2*i - 1. Let r(g) = -g**3 - g**2 + 3*g + 1. Let l(k) = -2*k**3 - 3*k**2 + 8*k + 2. Determine u*l(y) - 8*r(y).
2*y**3 - y**2 - 2
Let h(p) = 5*p - 8. Let c(u) = -2*u + 3. Let v be (-6)/15 + 26/(-10). Suppose 21 = -4*a + 93. Let n = a - 26. Give n*c(d) + v*h(d).
d
Let c(h) = 93*h - 9. Let g(a) = -23*a + 2. Calculate -6*c(q) - 26*g(q).
40*q + 2
Let f(q) = q + 1. Let n(h) be the third derivative of h**6/120 - h**4/24 - h**3/6 + 15*h**2. Determine -f(y) - n(y).
-y**3
Let v(g) be the first derivative of g**3 - g**2 + 2*g + 76. Let f(r) = -7*r**2 + 5*r - 5. Let p(n) = 2*n. Let w be p(-1). What is w*f(m) - 5*v(m)?
-m**2
Let i(u) = 6*u**3 - 8*u**2 + 7*u + 7. Let r(f) = f**3 - f**2 + f + 1. Let b = -15 - -29. Determine b*r(d) - 2*i(d).
2*d**3 + 2*d**2
Let p(m) = -2*m + 2*m + 4*m + 5 + 0*m**2 + m**2. Let j be p(-4). Let k(s) = 7*s**2 + 6*s - 2. Let u(n) = -6*n**2 - 5*n + 2. Determine j*u(h) + 4*k(h).
-2*h**2 - h + 2
Let i(c) = -c**2 + 8*c. Let g(b) be the first derivative of 1 + 0*b - 23/2*b**2 + b**3. Calculate 6*g(u) + 17*i(u).
u**2 - 2*u
Let u be 8/(-16) + (-3)/2. Let f(y) = -12*y. Let v(l) = l. Determine u*f(n) - 22*v(n).
2*n
Let y(w) be the second derivative of 2*w**3/3 - 3*w. Let l(x) = -3*x - 1. What is -2*l(n) - 3*y(n)?
-6*n + 2
Let y(w) = 10*w + 1. Let t(x) = -x**2 + 15*x - 13. Let z be t(13). Let g = -20 + z. Let i(d) = -3*d. Determine g*i(n) - 2*y(n).
n - 2
Let w be (-2)/(2 - 0) - -2. Let s be 1*(-1 - 2) - w. Let m(v) = 2*v**2 + 3*v - 3. Let j(c) = 3*c**2 + 4*c - 4. Give s*m(a) + 3*j(a).
a**2
Let l(u) = -u**3 - 17*