 7*c - 5. Determine 3*p(h) + 15*w(h).
21*h
Suppose -2*z - 19 = -5. Suppose -8 = -2*k - 4*g, -5*k + 8 - 30 = -4*g. Let f(i) = 4*i**3 - 3*i - 4. Let d(v) = -v**3 + v + 1. Give k*f(t) + z*d(t).
-t**3 - t + 1
Let s(g) = 1. Let t(z) = -3*z + 3. What is 5*s(j) - t(j)?
3*j + 2
Suppose 0 = 4*o - 5*w - 37, -o - 11 = 3*w + 1. Let i(f) = -f + f**2 - 4*f - 1 + 3*f. Let s(k) = -k**2 + k. Give o*s(a) + i(a).
-2*a**2 + a - 1
Let d(q) = 3*q + 52*q**2 - 56*q**2 + 0*q - 4. Let t(j) = -2*j**2 + 2*j - 2. Calculate 3*d(x) - 5*t(x).
-2*x**2 - x - 2
Let f(q) = 14*q - 5. Let z(d) = 69*d - 24. What is -24*f(w) + 5*z(w)?
9*w
Let s(w) = 0 + 3*w + 2*w**2 - w + 4. Let l(y) = y**2 + 2*y + 3. Let u(z) = z + 4. Let g be u(-8). Let n be -1*(-1)/(1/3). Determine g*l(t) + n*s(t).
2*t**2 - 2*t
Suppose -2*z - 26 = 2*u, -7*z - 3*u - 61 = -2*z. Let l = 0 - z. Let f(b) = -2*b - 5. Let x(h) = -6*h - 14. Determine l*f(w) - 4*x(w).
2*w + 1
Let d = 21 + -25. Let i(k) = -k. Let t(h) = h. Let z = 13 - 9. Let s = z + -7. Determine d*i(c) + s*t(c).
c
Let b(g) = 7*g**2 + 2*g + 2. Let u(d) = -22*d**2 - 7*d - 6. Determine -7*b(k) - 2*u(k).
-5*k**2 - 2
Let l(w) = -11*w + 2. Let g(t) be the first derivative of -3*t**2 + t + 31. Give 5*g(k) - 3*l(k).
3*k - 1
Let m(h) = -5*h**2 - 3*h. Suppose -2*u + 25 - 7 = -2*q, 5*q + 37 = 3*u. Let f(o) = -6*o**2 - 4*o. What is u*m(i) - 3*f(i)?
-2*i**2
Let n(t) be the first derivative of t**3/3 + 3*t**2/2 + 4*t + 2. Let d be n(-3). Let x(l) = 3*l**2 + 4*l. Let k(m) = m**2 + m. Calculate d*k(s) - x(s).
s**2
Suppose -5*r - 2 = -6*r. Let v(f) = -5*f**3 + 9*f**2 - 9*f. Let l(z) be the third derivative of -z**6/120 + z**5/30 - z**4/12 + 6*z**2. What is r*v(a) - 9*l(a)?
-a**3
Let y(t) = -4*t**2 - 6*t + 9. Let u(l) be the third derivative of l**5/30 + l**4/8 - 2*l**3/3 + 25*l**2. Give -7*u(i) - 3*y(i).
-2*i**2 - 3*i + 1
Let t(f) = 5*f + 1. Let a(o) = 4*o + 1. Give -3*a(c) + 2*t(c).
-2*c - 1
Let v(z) = z - 1. Let r(t) = -5*t + 4. Calculate -2*r(m) - 6*v(m).
4*m - 2
Let g(j) = -36*j**3 + 33*j**2. Let t(s) = -s**3 + s**2. Determine -2*g(b) + 66*t(b).
6*b**3
Let u(t) = -6 - 5 + 12. Let i(a) be the first derivative of -2*a**3/3 + 3*a + 1. What is i(q) - 3*u(q)?
-2*q**2
Let q(v) = 2. Let t(z) = -z + 15. Let r(a) = -a**3 + 5*a**2 - 3*a + 2. Let g be r(4). Suppose -g*s + 13 = -4*s - 3*n, 0 = 2*s - n - 23. Give s*q(h) - 2*t(h).
2*h - 2
Let j(i) = -i**2 - i + 1. Let t(b) = 0*b**2 - 2*b**2 + 1 + 3*b**3 - 4*b**3. Let g(m) = -m**3 + 6*m**2 + 8*m - 9. Let d be g(7). Give d*j(w) + t(w).
-w**3 + 2*w - 1
Let h(m) = m**3 + 4*m**2 - 3*m - 3. Let i(w) = -w - 8. Let p be i(-6). Suppose -6*n - 8 = 10. Let v(q) = -q**3 - 3*q**2 + 2*q + 2. Calculate n*v(l) + p*h(l).
l**3 + l**2
Let a(t) = -t + 2. Suppose -4*x - 2*q + 68 = q, 4*x = q + 52. Let c(u) = 4*u - 7. What is x*a(b) + 4*c(b)?
2*b
Let j(a) = a**3 - 2*a**2 + 2*a + 1. Let d(r) be the first derivative of -r**4/2 + r**3 - 3*r**2/2 - r - 31. Calculate 4*d(x) + 6*j(x).
-2*x**3 + 2
Let q(x) = x**3 - x. Let a(u) = u**3 - 30*u**2 - 2*u. Determine -a(d) + 2*q(d).
d**3 + 30*d**2
Let m(n) = -5*n**2 + 1. Let d be (2 + -15)/(-2 - -1). Let f = d - 17. Let c(z) = -z**2. Determine f*c(t) + m(t).
-t**2 + 1
Let s(p) = -3*p**2 + 4. Suppose -4*y = 3*w - 13, 0 = 3*y + w + 1 - 12. Let n(u) = 2*u**2 - 3. Give y*n(d) + 3*s(d).
-d**2
Let n(k) be the first derivative of k**3 - 5*k**2/2 + 5*k + 3. Let q(p) = -2*p**2 + 3*p - 3. Determine -6*n(d) - 10*q(d).
2*d**2
Let h(x) = x - 12 + 5*x - 11 + x**2 + 22. Let m(n) = -n. Determine h(t) + 6*m(t).
t**2 - 1
Let h(y) = -7*y**3 - 5*y**2 - 7*y. Let g = 32 + -37. Let l(f) = 3*f**3 + 2*f**2 + 3*f. Calculate g*l(m) - 2*h(m).
-m**3 - m
Suppose 10*o - 55 + 5 = 0. Let z(l) = -2*l - 3. Let g be z(3). Let j(r) = -3*r**2. Let u(y) = -2*y**2. Give g*u(c) + o*j(c).
3*c**2
Let r(x) = -5*x + 1. Let c(q) = 6*q - 1. Let b(n) = -5*c(n) - 4*r(n). Let o(a) = 2*a. Let i = 47 - 56. Calculate i*o(j) - 2*b(j).
2*j - 2
Let n(z) = -z**2 + 6. Let h(l) = -2*l**2 + 13. Determine -6*h(t) + 13*n(t).
-t**2
Let n(r) = 2*r + 5. Suppose -2*j - 4 = 8. Let f(v) = 3. Let x(c) = 7. Let z(s) = -5*f(s) + 2*x(s). What is j*z(b) - n(b)?
-2*b + 1
Let x(w) = w - 1. Let b(q) = 8*q - 2 + 1 - 3. Suppose -v = -3*v + 2. What is v*b(a) - 6*x(a)?
2*a + 2
Let q(b) = b**3 - b + 1. Let j(m) = -41*m**3 + 3*m - 3. Determine -j(o) - 3*q(o).
38*o**3
Let y(n) = -2*n - 4. Let a(h) be the first derivative of h**2/2 + h + 18. Give 6*a(t) + 2*y(t).
2*t - 2
Let v(w) = -7. Let a(c) = -c + 7. Calculate -2*a(b) - 3*v(b).
2*b + 7
Let g(f) = 2*f**2 - 3*f - 1. Let m(n) = -7*n**2 + 12*n + 3. What is 9*g(b) + 2*m(b)?
4*b**2 - 3*b - 3
Let t(j) = j**2 - j - 4. Let w(q) = q**2 - q - 5. Let h(b) = 5*t(b) - 4*w(b). Let i(d) = 2*d**3 + 3*d**2 - 4*d. Calculate -5*h(r) + i(r).
2*r**3 - 2*r**2 + r
Let a(v) = 5*v**2 + 11*v - 11. Let j(y) be the first derivative of y**2 - 5 - 2*y + 1/3*y**3. Calculate 4*a(i) - 22*j(i).
-2*i**2
Let r(h) = 5*h - 1. Let y(c) = 4*c. What is -5*r(x) + 6*y(x)?
-x + 5
Let b(s) = -s. Let i(q) = -2*q. Determine -5*b(v) + 3*i(v).
-v
Let c(h) = 21*h + 16. Let v = -183 + 185. Let w(r) = -4*r - 3. Determine v*c(u) + 11*w(u).
-2*u - 1
Let t(r) = 6*r**2 - 36*r + 11. Let h = -34 - -32. Let a(n) = n**2 - 7*n + 2. Give h*t(p) + 11*a(p).
-p**2 - 5*p
Let b(a) = a + 1. Let i(g) = 5. Let w(q) = 16. Let p(v) = 7*i(v) - 2*w(v). Suppose -3*h = 5*h + 8. What is h*b(k) + p(k)?
-k + 2
Let c(t) = -t - 2. Let h(i) = i + 1. What is -2*c(x) - 5*h(x)?
-3*x - 1
Let a(c) = 2*c**3 - 6*c**2 + 14*c - 89. Let z(r) = r**3 - 2*r**2 + 5*r - 30. Calculate 3*a(f) - 8*z(f).
-2*f**3 - 2*f**2 + 2*f - 27
Let k(z) = -z + 1. Let q(d) = -32*d + 8. Give -5*k(t) + q(t).
-27*t + 3
Let m(l) = -l**2 - 3*l + 3. Let s(i) = -i + 1. What is m(o) - 3*s(o)?
-o**2
Let a(o) = -4*o**3 + 4*o**2 + 3. Let w(v) = -5*v**3 + 4*v**2 + 3. Give -6*a(n) + 5*w(n).
-n**3 - 4*n**2 - 3
Suppose -9 = -5*l + 16. Let n(y) = 2*y + 2. Let p(w) be the second derivative of -1/6*w**3 - 2*w + 0 - 1/2*w**2. Calculate l*p(v) + 3*n(v).
v + 1
Let p(o) = -o - 1 - 3*o + 5*o. Suppose -x + 5*x = -28. Let r(z) = -2*z - 4. Let n(b) = -5*b - 9. Let s(g) = x*r(g) + 3*n(g). Determine -4*p(a) - 3*s(a).
-a + 1
Let k(o) = -o**3 - o**2 + 1. Suppose -45 = x - 6*x. Let u = -7 + x. Let b(i) = 2*i**3 + 3*i**2 - 3. What is u*b(t) + 6*k(t)?
-2*t**3
Let v(r) = -5*r**2 - 5*r - 6. Let i(b) = -b**2 - b - 1. Calculate 3*i(d) - v(d).
2*d**2 + 2*d + 3
Let c(a) = -6*a + 5. Let v(j) = -j**2 + 11*j - 7. Let w be v(10). Let t(l) = -2 + w - 2 + l. What is c(i) + 5*t(i)?
-i
Let c be (-1)/2 + 10/4. Let q(d) = 0*d - c*d + d. Let a(f) = -3*f - 2. Let m(r) = -r**2 - 4*r + 3. Let n be m(-5). What is n*q(x) + a(x)?
-x - 2
Let x(f) = -19*f**2 + 5. Let t(q) = -9*q**2 + 2. Give 13*t(w) - 6*x(w).
-3*w**2 - 4
Let y(s) = 5*s**3 - s**2 + 3. Let x(n) = -n**3 + 1. Calculate x(r) - y(r).
-6*r**3 + r**2 - 2
Let m(l) = 7 - 4 - 6. Let n(j) = j - 8. Calculate -8*m(f) + 3*n(f).
3*f
Let g(o) = 2*o**2 - 3*o + 3. Let y(d) = d**3 - d + 1. Determine -g(i) + 3*y(i).
3*i**3 - 2*i**2
Let p(b) = -7*b - 2. Let o(l) = 13*l + 3. Let c(s) = 3*o(s) + 5*p(s). Let v(a) = -3*a + 1. Determine -2*c(m) - 3*v(m).
m - 1
Let c(t) = 6*t**2 - 2*t - 1. Let w(y) = -25*y**2 + 48*y**2 - 24*y**2. Give -c(x) - 5*w(x).
-x**2 + 2*x + 1
Let x(n) = -10*n - 16. Suppose -11*k + 29 = -4. Let w(z) = 2*z + 3. Calculate k*x(f) + 16*w(f).
2*f
Let b(n) = -n - 9. Let a(r) = r. What is -3*a(y) - b(y)?
-2*y + 9
Let p(m) = -2*m**3 - 6*m**2 - 12*m + 5. Let q(g) = 4*g**3 + 13*g**2 + 25*g - 11. Give 13*p(c) + 6*q(c).
-2*c**3 - 6*c - 1
Let w(m) be the third derivative of m**4/3 + m**3/3 + 2*m**2 - 4. Let c(t) = 3*t + 1. Give 11*c(d) - 4*w(d).
d + 3
Suppose -5*w = -4*w - 5. Suppose 10 = w*p - 0. Let g(v) = -3*v**2 - 3*v + 2. Let q(u) = u**2 + u - 1. Give p*q(c) + g(c).
-c**2 - c
Let n = -15 + 19. Let t(s) = 2*s**3 + s - 2*s + 0*s - n*s**2 + 2. Let z(f) = -11 + 4*f - 10*f**3 + 21*f**2 - f + 2*f. Give 11*t(v) + 2*z(v).
2*v**3 - 2*v**2 - v
Let z(o) = 12*o**2 + 4. Let x(q) = -q**2 - 1. Determine -4*x(s) - z(s).
-8*s**2
Let c(p) = 2*p - 4. Suppose 2*d - 5*i + 7 = 0, 2*d + 7*i - 1 = 4*i. Let a be (-22)/4 + (-1)/(-2). Let t(j) = -2 - 2 + 5. Calculate a*t(x) + d*c(x).
-2*x - 1
Let j(t) = -8*t**3 + 17*t**2 + 17*t + 17. Let d be (0 + 2 - 49) + (-5 - -1). Let p(o) = -o*