2*z**3 + 2*z**2 + z
Let w(k) = k - 1. Let n(d) = -2*d + 2. Determine 4*n(m) + 7*w(m).
-m + 1
Let d(g) = -2*g**2 + 2*g + 11. Let h(l) = -2*l**2 + 3*l + 12. Calculate -3*d(q) + 2*h(q).
2*q**2 - 9
Let h(s) = -6*s**2 + 1. Let r be h(-1). Let y(u) = u + 2. Let m(b) be the third derivative of -b**4/24 - b**3/3 + b**2. Calculate r*y(t) - 6*m(t).
t + 2
Let r(k) = -6*k**2 - k - 4. Suppose 2*l - 3*l + 3 = 0. Let y(m) = -5*m**2 - 3. Determine l*r(t) - 4*y(t).
2*t**2 - 3*t
Let a(m) = -6*m - m - 5 + 2*m + m**2. Let s be 31/(-3) - 4/6. Let z = s - -6. Let x(r) = -r**2 + 7*r + 7. What is z*x(y) - 7*a(y)?
-2*y**2
Let d(v) = 9*v**2 - 7*v. Let c(o) = 4*o**2 - 3*o. Let w(s) = s. Let q be w(4). Suppose -q*p + 0 + 28 = 0. Give p*c(t) - 3*d(t).
t**2
Let k(x) = -8*x + 5. Let o(m) = -1. Let s(b) = 7*b - 7. Let c(u) = 3*o(u) - s(u). Determine 5*c(f) - 4*k(f).
-3*f
Let u(x) = 3*x**3 + 2. Let y(t) = t**2 + 1. What is -u(w) + 2*y(w)?
-3*w**3 + 2*w**2
Let k(u) = -23*u - 6. Let s(n) = n + 1. What is k(b) + 4*s(b)?
-19*b - 2
Suppose 3 - 2 = -y. Suppose -3*f + 0 = -2*s - 20, -5*s = 4*f + 4. Let p(k) = k**3 - k**2 + k + 1. Let c(i) = 3*i**3 - 5*i**2 + 4*i + 4. What is f*p(o) + y*c(o)?
o**3 + o**2
Suppose 2*p + 15 = 3*z + 7*p, 4*z = -5*p + 20. Let f(m) = -6*m**3 - 5*m**2 + 6*m + 4. Let h(n) = 7*n**3 + 6*n**2 - 7*n - 5. Determine z*h(d) + 6*f(d).
-d**3 + d - 1
Let u(j) = 2*j - 7. Let d be u(2). Let p(h) = 6*h**3 + 2*h**2 + 2*h + 2. Let x(q) = 6*q**3 + 3*q**2 + 3*q + 3. Calculate d*p(y) + 2*x(y).
-6*y**3
Let w(u) = -10*u**3 - 4*u**2 - 5*u - 2. Let n(h) = 11*h**3 + 3*h**2 + 4*h + 2. Give -4*n(y) - 3*w(y).
-14*y**3 - y - 2
Let k(t) = -10 + 13 - 4. Let j(r) = r + 5. What is j(q) + 5*k(q)?
q
Suppose 0 = 3*h + v - 6, 4*h = -2*v + 4 + 6. Let t(o) = -h + 1 + o + 1. Let r(f) = 3*f + 3. Calculate -r(c) + 2*t(c).
-c - 1
Let y = 8 + -13. Let k(f) = -232*f**2 + 64. Let i(s) = 11*s**2 - 3. Let b(g) = 64*i(g) + 3*k(g). Let r(m) = 226*m - 7*m**2 - 226*m. What is y*b(z) - 6*r(z)?
2*z**2
Let u(r) be the first derivative of -2*r**3 + 3*r**2 + 19. Let v(d) = d**2 - d. Calculate -2*u(l) - 11*v(l).
l**2 - l
Let h(j) = j**2 - 2*j + 7. Let z(i) = -i**2 + i - 4. What is 4*h(p) + 7*z(p)?
-3*p**2 - p
Let u(y) = -2*y**2 + y**2 + 1 - 3 - 2*y + 1. Let m be u(-3). Let a(t) = 2*t**2 - 5. Suppose -14 = 5*s + 36. Let g(q) = -q**2 + 2. Give m*a(n) + s*g(n).
2*n**2
Suppose 19 = 5*o - 4*x, o - 2*o = 4*x + 1. Let a(z) = o*z - 4*z + 4*z**2 - 8*z**2 + z**3. Let l(t) = -t**2. Calculate a(s) - 4*l(s).
s**3 - s
Let y(k) = -k**3 + 2*k**2 - k - 2. Let n(i) = -2*i**2 + i + 3. Give 2*n(c) + 3*y(c).
-3*c**3 + 2*c**2 - c
Let y(j) = -j**2 - j + 1. Let a(m) = -m + 1 + 0*m**2 - 5*m**2 + 2*m**2. Give -a(h) + y(h).
2*h**2
Suppose -8 = 4*x + 12. Let i(s) = 7*s - 7. Let t(w) be the first derivative of 3*w**2 - 6*w - 2. Give x*t(a) + 4*i(a).
-2*a + 2
Let f(c) = -2*c**3 + 3*c**2 - 7*c - 3. Let l(d) = -d**3 - d. Let p(a) = -f(a) + 4*l(a). Let y(g) = 3*g**3 + 5*g**2 - 5*g - 5. Calculate 5*p(b) + 3*y(b).
-b**3
Let m = -21 - -13. Let b(g) = -14*g**3 + 8*g**2 + 2*g - 8. Let y(d) = 5*d**2 - 3963 - 9*d**3 + 3958 + d + 0*d. Calculate m*y(v) + 5*b(v).
2*v**3 + 2*v
Let o(n) = 2*n**3 + 3*n**2 - n + 3. Let j(w) = 4*w**3 + 7*w**2 - w + 7. What is -3*j(h) + 7*o(h)?
2*h**3 - 4*h
Let d(b) = 9*b**3 + 9*b**2 + 5*b - 1. Let f(g) be the third derivative of 11*g**6/60 + 11*g**5/30 + g**4/2 - g**3/3 + 7*g**2. Give -12*d(y) + 5*f(y).
2*y**3 + 2*y**2 + 2
Let n(z) = -z + 1. Suppose 0 = 5*a + 20 + 10. Let f = a - -3. Let i(q) = -4*q + 4. Calculate f*n(b) + i(b).
-b + 1
Let z(y) = 2*y**2 + y + 4. Let x(c) = 1. Determine 6*x(q) - z(q).
-2*q**2 - q + 2
Let y(a) = -4*a**2 + 2*a. Let n(i) = -i**2 + i. Let f(q) = -2*q + 9. Let t be f(5). Calculate t*y(l) + 2*n(l).
2*l**2
Let u(r) be the first derivative of r**4/2 - 2*r**3/3 - r**2 + 4. Let t(k) = 10*k**3 - 11*k**2 - 11*k. Give -2*t(i) + 11*u(i).
2*i**3
Let d(n) = n**2 - 15*n + 34. Let b be d(12). Let x(j) be the second derivative of 5*j**3/6 - 5*j**2/2 + j. Let a(k) = 4*k - 4. Calculate b*x(u) + 3*a(u).
2*u - 2
Let c(s) = -3*s**2 - 5*s + 5. Let w(z) = -4*z**2 + 0*z - 106 + 2*z - 8*z + 112. Give 6*c(v) - 5*w(v).
2*v**2
Let q(l) = 2*l**3 + 7*l**2 + 1. Let f(g) be the third derivative of -g**6/60 - g**5/10 - g**3/6 - 2*g**2. Determine -5*f(h) - 4*q(h).
2*h**3 + 2*h**2 + 1
Let y(s) = -1 + 2 + s - s - s. Let p(t) be the second derivative of t**3/3 - t**2/2 - 11*t. Determine -4*p(l) - 6*y(l).
-2*l - 2
Let y(u) = -11*u**3 - 17*u + 2. Let s(g) = -6*g**3 - 9*g + 1. Give 7*s(t) - 4*y(t).
2*t**3 + 5*t - 1
Let y(h) = 14*h - 7. Let d(j) = 15*j - 8. Determine 5*d(m) - 6*y(m).
-9*m + 2
Let g be -3 + 2/(-1*2). Let w(k) = 2*k**2 + 2*k + 4. Let z = -17 + 24. Let m(i) = 3*i**2 + 3*i + 7. Calculate g*m(p) + z*w(p).
2*p**2 + 2*p
Let a(t) = 3*t**2 + t + 1. Let z(f) = f. Let n(l) = -a(l) - 3*z(l). Let b(i) = -3*i + 1064*i**2 + 2 + 2*i - 1065*i**2 - 3. Give -2*b(u) + n(u).
-u**2 - 2*u + 1
Let t(v) = -11*v**3 + 3*v**2 - 3*v - 3. Let q(p) = 11*p**3 - 4*p**2 + 4*p + 4. Give -3*q(s) - 4*t(s).
11*s**3
Let w(z) = 2*z**2 + z - 1. Let o(g) = -g + 1. Calculate 4*o(s) + 4*w(s).
8*s**2
Let o(r) = 16*r**2 + 21*r + 6. Let g(k) = -3*k**2 - 4*k - 1. Give 11*g(a) + 2*o(a).
-a**2 - 2*a + 1
Let z(v) = 41*v**2. Let o(r) = 9225*r**2. Give -2*o(q) + 451*z(q).
41*q**2
Let z(o) = 3*o - 6. Let x(s) = 1. Let d(r) = 5*x(r) + z(r). Suppose -2*y = -0*y - 10, -41 = 4*j - 5*y. Let h(g) = -16*g + 6. What is j*h(b) - 22*d(b)?
-2*b - 2
Let v(k) be the third derivative of -k**5/60 + 4*k**2. Let t(c) = 2*c**2 + 3*c. Calculate t(x) + 3*v(x).
-x**2 + 3*x
Suppose -4*h + 6*h - 11 = -w, 24 = -w + 5*h. Let x(q) = 6*q**2 + 4*q + 2. Let l(a) = -a**2 - a - 1. Calculate w*x(i) + 4*l(i).
2*i**2 - 2
Let s = -22 + 20. Let u(l) = -l**2. Let f(x) = 2*x**3 + 2*x**2. Give s*u(h) - f(h).
-2*h**3
Let f(o) = -3*o + 4. Let j(k) = 6*k - 7. Give -11*f(r) - 6*j(r).
-3*r - 2
Let n(h) = -7*h**2 - 3*h - 3. Let p(t) = -34*t**2 - 14*t - 14. Give -14*n(d) + 3*p(d).
-4*d**2
Let g(a) = -a + 1. Let r(x) = 3*x - 9. Let s(m) = 5*g(m) + r(m). Let i(t) = 1. Let u = 1 + -3. Determine u*i(y) - s(y).
2*y + 2
Let j(n) = -5*n**2 + 2*n. Let w(v) be the first derivative of 16*v**3/3 - 3*v**2 - 19. Give -10*j(o) - 3*w(o).
2*o**2 - 2*o
Suppose 28 = l - 5*l. Let k(z) = 8*z**3 + 7*z**2 + 7. Let x(c) be the third derivative of -7*c**6/120 - c**5/10 - c**3 + 3*c**2. Give l*x(i) - 6*k(i).
i**3
Let x(k) = k**3 + k**2 - 7. Let z(d) = d**3 - 6. What is 2*x(b) - 3*z(b)?
-b**3 + 2*b**2 + 4
Let c(k) = k**2 - k - 1. Let p(u) = u**2 + 2*u + 2. Calculate -2*c(x) - p(x).
-3*x**2
Let m(r) = r + 5. Let v(b) = b**2 - 5. Let g(i) = -7*m(i) - 6*v(i). Let w(o) = -o**2 - o - 1. Determine -g(h) + 5*w(h).
h**2 + 2*h
Let y(q) = 17*q**2 - 37*q. Let j(n) = -4*n**2 + 9*n. What is 26*j(t) + 6*y(t)?
-2*t**2 + 12*t
Let f be (-2 - -4)/1 + -2. Let j(x) = f*x - 2*x**2 - 2*x + 0 + 4*x**3 + 2. Let l = 91 + -93. Let n(o) = 17*o**3 - 9*o**2 - 8*o + 9. Give l*n(g) + 9*j(g).
2*g**3 - 2*g
Let s(f) = -f**2 + f + 1. Let m(w) = -w**2 - 5*w - 6. Determine -m(n) - 4*s(n).
5*n**2 + n + 2
Let t(b) = 14*b + 11*b + 3*b - 7 - 21*b. Let g(w) = 4*w - 4. Calculate 10*g(v) - 6*t(v).
-2*v + 2
Let d(v) be the first derivative of -v**2 - 4*v + 43. Let k(a) = -6*a - 12. Determine 8*d(f) - 3*k(f).
2*f + 4
Let h(c) = c**2 - c - 1. Let f(o) = -o**3 - 9*o**2 + 8*o + 8. Calculate -3*f(j) - 24*h(j).
3*j**3 + 3*j**2
Let x(d) = 7*d**2 - 6*d - 5. Let q(w) = 11*w + 3 - 13*w**2 - 1 + 7. Let c = -1 - -2. Suppose -3*a = c - 34. What is a*x(r) + 6*q(r)?
-r**2 - 1
Let s(q) = 2*q + 2. Let m(v) = -1. Suppose -6*u + 4*r + 23 = -3*u, -4*u - 2*r + 16 = 0. Determine u*m(t) + s(t).
2*t - 3
Let t(b) = b - 1. Let o(q) = -4*q + 5. Suppose -6*g - 16 - 14 = 0. Calculate g*t(l) - o(l).
-l
Let x(j) = j + 1. Let y(q) = -q**2 - 9*q - 13. Let a be y(-7). Let g(o) = -5*o - 2. Let f(b) = a*g(b) + 4*x(b). Let t(s) = s - 3. Give -3*f(m) - 2*t(m).
m
Let p(a) = 6*a**2 + 5*a. Suppose 0 = -0*w + w - 4. Let t(c) = -11*c**2 - 9*c. Calculate w*t(h) + 7*p(h).
-2*h**2 - h
Let q(f) = -45*f + 30. Let a(t) = 9*t - 6. Let o(p) = 21*a(p) + 4*q(p). Let c(b) = -26*b + 17. Calculate -6*c(y) - 17*o(y).
3*y
Let t(c) = c**3 - c**2 - c. Let i(y) = 24*y**3 - 3*y**2 - 3*y. Determine i(g) - 3*t(g).
21*g**3
Let k(p) be the second d