j(p).
p**3 - 10
Let v(o) = -o**2 - o - 1. Let b(s) = 4*s**2 + 15*s - 2. Let j(y) = -b(y) - 6*v(y). Let l(k) = -k**2 + 3*k - 3. Calculate -3*j(t) - 8*l(t).
2*t**2 + 3*t
Let v(r) = -2 + 4 + 3*r - 4*r + 0. Let p(q) = 5*q - 9. Calculate 2*p(d) + 9*v(d).
d
Let s(p) = p + 3. Let n(f) = -2*f - 4. Let q be 1*(1 + -6) - -3. What is q*n(c) - 3*s(c)?
c - 1
Let l(y) = -2*y**3 - 3*y + 3. Suppose -4*f = -4, 2*f = 3*v + 3*f - 4. Suppose -3*z = -z. Let p(o) = 0*o + o + z + o**3 - 1. Determine v*l(w) + 3*p(w).
w**3
Let g = -9 + 11. Let t(i) = i**3 - 3*i**2 + i. Let l be t(g). Let r(o) = 2*o + 2. Let v(k) = -k**3 - 7*k - 7. Calculate l*v(b) - 7*r(b).
2*b**3
Let x(g) = 11*g - 5. Let q(o) = -23*o + 11. What is 4*q(m) + 9*x(m)?
7*m - 1
Let g(v) = 3*v + 1. Let n(p) = 6*p + 2. Determine -13*g(c) + 6*n(c).
-3*c - 1
Let a(b) = b - 1. Let x(g) = -24*g + 21. Determine -18*a(v) - x(v).
6*v - 3
Let f(l) = l**3 + 5*l**2 - 1. Let o(u) = u**3 + 4*u**2 - 1. What is 4*f(n) - 5*o(n)?
-n**3 + 1
Let q(x) = -8*x**2 - 4*x + 4. Let f(d) = -9*d**2 - 5*d + 5. Calculate -4*f(v) + 5*q(v).
-4*v**2
Suppose -3*z - 1 = -h, -4*z - h + 1 = -9*z. Let o(b) = -b**2 - 3. Let n be o(z). Let a(d) = 10*d - 16. Let p(v) = -2*v + 3. Give n*a(q) - 16*p(q).
2*q
Let y(h) be the third derivative of h**5/60 + h**4/24 - h**3/6 - 4*h**2. Let u(c) = 2*c - 1. Let s = 18 + -16. What is s*y(l) - u(l)?
2*l**2 - 1
Let i(b) = 0*b + 5*b + 5 - 11*b + 10*b. Let d(c) = 11*c + 5 - 3 + 12. What is 3*d(x) - 8*i(x)?
x + 2
Let x(q) = 1 + 4 + 19*q**3 + 446*q**2 - 451*q**2 + 5*q. Let g(b) = 105*b**3 - 28*b**2 + 28*b + 28. What is 5*g(f) - 28*x(f)?
-7*f**3
Suppose -n = -4*h - 17 - 3, 4*n = -16. Let d(q) = 4*q - 2. Let t(c) = -c - 4 + 2*c + 8*c. Give h*t(r) + 13*d(r).
-2*r - 2
Let w(q) = -q**3 + 2*q**2 - 3*q + 7. Let m(a) = -4*a**3 + 11*a**2 - 16*a + 36. Determine 2*m(v) - 11*w(v).
3*v**3 + v - 5
Let v(p) = -135*p**2 + 55*p. Let t(n) be the third derivative of n**5/12 - n**4/12 + 5*n**2. Determine 55*t(f) + 2*v(f).
5*f**2
Let w(r) be the third derivative of r**5/12 + r**4/6 + 2*r**3/3 - r**2. Let y = -22 + 25. Let t(f) = -4*f**2 - 3*f - 3. Calculate y*w(h) + 4*t(h).
-h**2
Suppose -4*h - 3*y + 6 = 3, -6 = -h + y. Let k(f) = 2 + h*f**2 - 4*f**2 - f - 4*f. Let s(v) = -4 + 0*v**2 + 3*v + 3 + v**2. Calculate -3*k(r) - 5*s(r).
-2*r**2 - 1
Let x(b) = -25*b + 9. Let d(j) = -6*j + 2. Let f = -116 - -114. Calculate f*x(i) + 9*d(i).
-4*i
Let u be 0 - (-4 + 2 - 0). Let w(l) = 5*l**2 - 5*l - u - 5*l**2 - l**2. Let z be w(-2). Let c(y) = y**2 - 1. Let s(m) = -m**2 + 2. Determine z*c(n) + 2*s(n).
2*n**2
Let l(c) = -c**2 - c. Suppose 5 = 5*d, 7 = 2*j + 3*d + 2. Let u(s) = -s**2. What is j*l(m) - 2*u(m)?
m**2 - m
Let f(d) = 3*d + 6. Let r(m) = -m**2 + 3*m + 5. What is 3*f(q) - 4*r(q)?
4*q**2 - 3*q - 2
Let q(v) = -8*v**3 + 11*v**2 + 11*v - 11. Let k(r) = -8*r**2 - 4*r + 4*r**2 + 4*r**3 + 1 + 3 - r**3. Let i = -7 + 11. Give i*q(f) + 11*k(f).
f**3
Let q(f) = 2*f**2 + f + 1. Let u = 16 + -13. Let w(r) = -r**2 - r - 1. Calculate u*q(z) + 3*w(z).
3*z**2
Let s(j) = -j + 1. Let f(v) = -v + 52. Determine f(r) - 2*s(r).
r + 50
Let d(q) = 5*q - 1. Let t(a) = a + 1. Let w be t(2). Let v(j) be the third derivative of 0 + 1/24*j**4 - 1/6*j**3 - 2*j**2 + 0*j. What is w*v(x) - d(x)?
-2*x - 2
Let r(o) = 14*o**3 - 8*o**2 - 8*o - 8. Let x(l) = -l**2 - 8*l - 4. Let v be x(-7). Let p(u) = 5*u**3 - 3*u**2 - 3*u - 3. What is v*r(i) - 8*p(i)?
2*i**3
Let i(b) = -b + 1. Let n(g) = 1. Let r be -10 + 3/(-9)*-3. Let u = 7 + r. Determine u*n(d) + 2*i(d).
-2*d
Let v(k) be the third derivative of k**6/60 - k**5/15 - k**4/8 + k**3/3 - 2*k**2. Let f(h) = 2*h**3 - 3*h**2 - 2*h + 1. Let d = -7 + 9. Give d*v(t) - 3*f(t).
-2*t**3 + t**2 + 1
Let i = 14 - 13. Let z(g) = -g - 1. Let j(u) = -3. What is i*z(h) - j(h)?
-h + 2
Let q(z) = 3*z + 6. Let p(u) = 1. Give -4*p(r) + q(r).
3*r + 2
Let f(g) = -13*g**3 - 2*g**2 + 9*g. Let d(u) = 7*u**3 + u**2 - 5*u. Calculate -11*d(o) - 6*f(o).
o**3 + o**2 + o
Let l(v) = v**2 - 2*v + 3. Let t(f) = 1. Let w be (5 - 0)*(2 - 1). Determine w*t(m) - l(m).
-m**2 + 2*m + 2
Let l(r) = -3*r**2 + 23*r - 13. Let t(y) = 4*y**2 - 34*y + 19. Calculate -7*l(a) - 5*t(a).
a**2 + 9*a - 4
Suppose -o - 4*m - 3 = -m, 0 = o - 4*m + 10. Let q(x) = -9*x**2 + 5*x + 5. Let r(i) = -10*i**2 + 6*i + 6. Determine o*q(v) + 5*r(v).
4*v**2
Let v(s) = 4*s - 9. Let z(d) = -2*d + 4. Give -3*v(l) - 7*z(l).
2*l - 1
Let f(i) = -13*i + 6. Let u(b) = 12*b - 7. Let p(c) = -3*f(c) - 2*u(c). Let g(a) = 11 - 7*a + 0 - 9. Calculate -13*g(r) - 6*p(r).
r - 2
Let v(x) = x - 8. Let g be v(1). Let i(u) = 22*u**2 - 13*u - 13. Let f(d) = 7*d**2 - 4*d - 4. What is g*f(k) + 2*i(k)?
-5*k**2 + 2*k + 2
Let r(a) = -2*a**2 + 6*a + 6. Let j(s) = -3 + s - 2 + 7 - 1. Suppose 7 = b - 2*y, -2*y - 4 = -5*b - 1. Give b*r(p) + 6*j(p).
2*p**2
Let x(l) = 207*l**3 + 18*l**2 - 18*l + 18. Let j(w) = 59*w**3 + 5*w**2 - 5*w + 5. What is -18*j(t) + 5*x(t)?
-27*t**3
Suppose 9 = x + n + 12, 2*n - 4 = 0. Let f(p) be the second derivative of p**5/10 - p**3/3 - 3*p**2/2 - 2*p. Let u(a) = 2*a**3 - 2*a - 4. Give x*f(l) + 4*u(l).
-2*l**3 + 2*l - 1
Let z(j) = -2*j**3 + 6*j**2 - 6. Suppose 0 = 2*b - 27 + 15. Let y(a) = 6*a**3 - 17*a**2 + 17. What is b*y(f) + 17*z(f)?
2*f**3
Let y(d) = d - 5. Let g(q) = -q + 6. Determine 3*g(v) + 4*y(v).
v - 2
Let f(w) = -w**3 + 6*w**2 + 4*w + 2. Let u(d) = d**3 - 7*d**2 - 5*d - 2. Calculate 5*f(z) + 4*u(z).
-z**3 + 2*z**2 + 2
Let u(k) = -k**3 - k**2. Suppose -5*t + 2 - 7 = 0. Let s(f) = f**3 + 2*f**2. What is t*s(d) - 2*u(d)?
d**3
Let p(y) = 2*y**2 + 2*y. Let h(u) = u. Let w(a) = 6*a. Let t(j) = -5*h(j) + w(j). Let g = 23 - 21. Determine g*t(d) - p(d).
-2*d**2
Let j(s) = -5*s**3 + 2*s**2 - 2*s. Let w(t) = 19*t**3 - 9*t**2 + 9*t. Give 9*j(r) + 2*w(r).
-7*r**3
Let o(c) = 2*c + 5. Let i be o(-4). Let f(b) be the third derivative of b**6/30 + 2*b**2. Let m(p) = 11*p**3. Give i*m(x) + 8*f(x).
-x**3
Let o(r) = 7*r - 2. Let h(d) = 7*d - 3. Let j(n) = 6*h(n) - 5*o(n). Let b(f) = 20*f - 23. Give -6*b(m) + 17*j(m).
-m + 2
Let k(m) be the third derivative of m**6/120 - m**5/60 + m**4/24 + 10*m**2. Let s(x) = -6*x**3 + 2*x**2 - 2*x. Calculate 2*k(w) + s(w).
-4*w**3
Let g(j) = j + 2. Let z(x) = 8*x. Let y(q) = 3*g(q) - z(q). Let r(k) = -2*k + 5. Let l(p) = 3*p - 10. Let i(a) = 2*l(a) + 5*r(a). What is -6*i(t) + 5*y(t)?
-t
Let u(g) = 51*g**2 + 11. Let y(w) = 10*w**2 + 2. What is 4*u(h) - 22*y(h)?
-16*h**2
Let x(q) = 15*q**3 + 6*q**2 - 9*q - 11. Let b(g) be the third derivative of g**6/15 + g**5/20 - 5*g**4/24 - g**3 - 31*g**2. Give 11*b(n) - 6*x(n).
-2*n**3 - 3*n**2 - n
Let k(j) = -j**2 + 5*j + 2. Let r be k(5). Let v be r*(1 + (-20)/8). Let z(m) = -2*m**2 + 3*m - 2. Let t(u) = 5*u**2 - 8*u + 5. What is v*t(n) - 8*z(n)?
n**2 + 1
Let t(z) be the third derivative of z**5/20 - z**3/3 - 2*z**2. Let j(p) be the first derivative of t(p). Let y(v) = -5*v. What is 6*j(g) + 7*y(g)?
g
Let d(r) = 2*r**3 + r**2 + 3*r + 2. Let v(n) = -n**3 - 2*n**2 - 2*n - 2. Determine -2*d(m) - 3*v(m).
-m**3 + 4*m**2 + 2
Let x(k) = -k + 7. Let n(c) = 1 - 2 + 0 - 6. Let z(p) = -4*n(p) - 5*x(p). Let r(g) = -4*g + 6. Calculate -7*r(v) - 6*z(v).
-2*v
Let q(n) = 3*n + 12. Let k(t) = -t**3 + 8*t**2 - 4*t - 20. Let s be k(7). Let j(g) = 1. Calculate s*q(h) - 12*j(h).
3*h
Let t(i) = -5*i - 5. Let c(n) = 13 + 14*n + 4 - 3 + 0. Give -3*c(z) - 8*t(z).
-2*z - 2
Let n(k) = -47*k**2 - 5*k + 7. Let w(r) = -23*r**2 - 2*r + 3. Calculate 4*n(m) - 10*w(m).
42*m**2 - 2
Let y(t) = 9*t**3 - 3*t**2 - 3*t. Let n(v) = 8*v**3 - 4*v**2 - 4*v. Determine -3*n(i) + 4*y(i).
12*i**3
Let n(d) = 2*d. Suppose s = 6*s - 235. Suppose -4*x = -5*r + s, -4*x + 6 = 2*r + 4. Let i(t) = 5*t. Give r*n(w) - 3*i(w).
-w
Let j(b) = -b**2 + b + 1. Suppose -5 = n - 4. Let r(w) = 4*w**2 - 3*w - 5. Determine n*r(g) - 5*j(g).
g**2 - 2*g
Let w(j) = 9*j - 3. Let v(o) = 18*o - 6. Calculate 3*v(c) - 7*w(c).
-9*c + 3
Let s be 40/30*6/4. Let t(x) = x**3 + 2*x**2 - 2*x + 1. Let j be 2/(-3) + 28/6. Let a(b) = -b - 2 + j + b**2 - 2 + 1. Determine s*t(c) - 4*a(c).
2*c**3 - 2
Let l(n) = -n + 3*n - n. Let z = -67 + 64. Let m(k) = k**2 - 2*k + 1. What is z*l(r) - m(r)?
-r**2 - r - 1
Let f(v) = -5*v**2 - 5*v + 3. Let y(q) = -2*q + 1. Let b be y(-8). Let i(u) = -b*u + 11*u + 2 - 24*u**2 + 12 - 18*u. What