- 1. Give l*p(y) - 3*b(y).
y**2 - y
Let z(u) = -14*u**2 - 4*u. Let l(v) = -13*v**2 - 3*v. Calculate 4*l(c) - 3*z(c).
-10*c**2
Let a(q) = -10*q**3 - 6*q. Let k(c) = c**3 + c. Determine 2*a(z) + 10*k(z).
-10*z**3 - 2*z
Let q(r) = -2*r + 2. Let x(y) = 8*y - 9. Calculate 9*q(l) + 2*x(l).
-2*l
Let c(m) = 88*m + 32. Let g(w) = 8*w + 3. Determine 3*c(f) - 32*g(f).
8*f
Let a(c) = -6*c + 8. Let o(f) = 1. Let s(j) = a(j) - 5*o(j). Let q(u) = 2*u - 1. What is 11*q(v) + 4*s(v)?
-2*v + 1
Let p = 39 - 28. Let w(f) be the first derivative of -f**4/2 - 11*f**2/2 + 13*f + 7. Let r(z) = z**3 + 6*z - 7. Calculate p*r(v) + 6*w(v).
-v**3 + 1
Let g(b) = 4*b**2 + 4*b. Let s(l) = 9*l**2 + 9*l. Suppose 43 = 4*t - 5*c, 3*t - 110 = -2*t - 5*c. Let h = t + -12. Give h*g(z) - 2*s(z).
2*z**2 + 2*z
Let w(g) = -4*g + 2. Let a(f) = -f. Let t be (-4 - 27/(-6))*6. What is t*a(p) - w(p)?
p - 2
Let q(s) = -53*s**2. Let b(w) = -13*w**2. Calculate 9*b(n) - 2*q(n).
-11*n**2
Suppose -18*z + 23*z = -25. Let l(s) = -s**2 + s. Let i(p) = 7*p**2 - 3*p - 1. Determine z*l(n) - i(n).
-2*n**2 - 2*n + 1
Let g(v) = -2*v**3 + 2*v**2 - 2*v - 1. Let z(o) = o**3 - o**2 + 1. Let c(f) = -2*f - 12. Let h be c(-8). Suppose h*k - 1 - 3 = 0. Calculate k*g(b) + z(b).
-b**3 + b**2 - 2*b
Let j(z) = -z**3 - 6*z**2 - z. Let n(d) = -6*d**3 - 31*d**2 - 5*d. Calculate 11*j(q) - 2*n(q).
q**3 - 4*q**2 - q
Let t(k) = 4*k**3 - 8*k**2 + 6*k + 6. Let l(v) = 3*v**3 - 7*v**2 + 5*v + 5. What is -6*l(q) + 5*t(q)?
2*q**3 + 2*q**2
Let c(t) = 224*t**3 + 136*t**2 - 136*t - 136. Let u(x) = 5*x**3 + 3*x**2 - 3*x - 3. What is -6*c(q) + 272*u(q)?
16*q**3
Let a(p) = 1. Let v(o) = -6*o + 16. Let t(x) = 6*a(x) - v(x). Let c(z) = 2*z - 3. Calculate 20*c(q) - 6*t(q).
4*q
Let m = 4 - 3. Let n(d) = -2 - 2*d - 2 + 9*d - m. Let a(u) = -3*u + 2. Suppose -4*l = -x, x + 9 = -x - l. Determine x*n(r) - 9*a(r).
-r + 2
Let u(g) = -g**3 + 2*g**2 + 5*g - 2. Let m(n) = -n**3 + n**2 + 5*n - 2. Give 5*m(h) - 4*u(h).
-h**3 - 3*h**2 + 5*h - 2
Let x(n) = -2*n**2 - 3*n - 2. Let b(c) be the second derivative of 0 + 5/12*c**4 + 5/2*c**2 - c + 7/6*c**3. Calculate -3*b(o) - 7*x(o).
-o**2 - 1
Suppose 0 = -p + 4*p + 6, 5*o = 3*p + 31. Let t(s) = s**2 + 2*s - 2. Let r(n) = 2*n**2 + 4*n - 3. Give o*t(f) - 3*r(f).
-f**2 - 2*f - 1
Let j(l) = -3*l - 1 + 6*l**2 + 3*l + 8*l**3. Let f(b) be the first derivative of 7*b**4/4 + 5*b**3/3 - b + 4. What is -6*f(m) + 5*j(m)?
-2*m**3 + 1
Let j(t) be the third derivative of t**5/5 + 11*t**4/24 - t**3/6 - 13*t**2. Let w(r) = -r**2 - r. Calculate 2*j(x) + 22*w(x).
2*x**2 - 2
Let u(m) = 3*m**2 + 6*m + 4*m**3 - 3*m - 5*m**3. Let d = 10 - 7. Let z(q) = 3*q**3 - 7*q**2 - 7*q. Determine d*z(h) + 7*u(h).
2*h**3
Let a(w) = -w**3 + 9*w**2 + 9*w. Let h(l) = -l**3 + 8*l**2 + 8*l. What is 6*a(y) - 7*h(y)?
y**3 - 2*y**2 - 2*y
Let v(r) = -17*r**3 + 4. Let d(b) = 35*b**3 - 9. Calculate -4*d(m) - 9*v(m).
13*m**3
Let l(u) = -u**2 - 23*u + 8. Let a(w) = 8*w - 3. Let t(f) = 8*a(f) + 3*l(f). Let v(r) = -r**2 - 2*r. What is -2*t(p) + 5*v(p)?
p**2
Let b(o) = -o - 1. Let m(r) = -14*r - 85. Let y be m(-6). Let x(n) = -5*n. Give y*x(z) + 2*b(z).
3*z - 2
Let y(f) = 2*f**3 - 7*f**2 - 4. Let s(l) = -3*l**3 + 7*l**2 + 5. Calculate 4*s(v) + 5*y(v).
-2*v**3 - 7*v**2
Suppose -m + 3*d = -10, 2*m + 25 = -d - 2*d. Let k(l) = l - 3. Let a = -3 - -5. Let p(b) = -2*b + b - a + 7. Determine m*k(q) - 3*p(q).
-2*q
Let a(l) = -3*l**2 - 12*l - 15. Let z(p) = p + 1. Let j(b) = -3*a(b) - 36*z(b). Let g(h) = -19*h**2 - 19. What is -6*g(i) - 13*j(i)?
-3*i**2 - 3
Let a(r) = 8*r - 6. Let f(m) = -19*m + 10. Let z(v) = 9*v - 5. Let h(w) = -2*f(w) - 5*z(w). Let k be 2/(-5) - (-2)/5. Let p = k - 5. Calculate p*a(o) - 6*h(o).
2*o
Let g(j) = 3*j**3 - 2*j**2 - 2. Let k(h) = -2*h**3 + 2*h**2 + 1. Suppose -4*p + p - 12 = 0. Calculate p*k(s) - 3*g(s).
-s**3 - 2*s**2 + 2
Let l(v) = -7*v**2 + 6*v. Let b(a) = a**2 - a. Determine -6*b(q) - l(q).
q**2
Let s(a) = a + 2. Let p be s(-2). Suppose -2*y - 2 = p, 2*g - y + 5*y + 6 = 0. Let z(r) = -r**3 + r - 1. Let c(u) = u - 1. Calculate g*z(f) + 2*c(f).
f**3 + f - 1
Let l(a) = -4*a. Let q(r) = 5*r - 4 + 5 - 2. Calculate 4*l(i) + 3*q(i).
-i - 3
Let p(s) = 2*s**3 - 41. Let m(t) = -5*t**3 + 82. What is 3*m(z) + 7*p(z)?
-z**3 - 41
Let o(z) = 82*z + 5. Let r(k) = -41*k - 3. What is 3*o(c) + 5*r(c)?
41*c
Let w(z) = 2*z**2 + 47*z - 9. Let l(n) = -n**2 - 23*n + 4. What is -13*l(k) - 6*w(k)?
k**2 + 17*k + 2
Let n(h) be the first derivative of h**3/3 + 2*h + 6. Let a(f) = f. Determine -2*a(m) - n(m).
-m**2 - 2*m - 2
Let o(y) = -2*y**2 + 4*y + 4. Let d = -3 - 1. Suppose 3*v + 5 = -2*v. Let x = v + d. Let m(s) = -s**3 + 5*s**2 - 9*s - 9. What is x*o(z) - 2*m(z)?
2*z**3 - 2*z - 2
Let p be -4*(1 - (-9)/(-3)). Let l(t) be the first derivative of -t**2 + t - 1. Let r(c) = -6*c + 2. What is p*l(h) - 3*r(h)?
2*h + 2
Let n(i) = -4*i**3 + i**2. Let v(t) = t**2 - t - 9. Let u be v(3). Let a(m) = -11*m**3 + 3*m**2. Determine u*a(s) + 8*n(s).
s**3 - s**2
Let i(k) = 2*k + 2. Let s(f) = -2 - 3 + 10*f + 15. Suppose 0*j = j + 14. Give j*i(r) + 3*s(r).
2*r + 2
Let j(d) = -2*d - 7. Let p(x) = 2*x + 6. Let v(l) = -5*j(l) - 6*p(l). Let f(g) = -g. What is 3*f(z) - 2*v(z)?
z + 2
Let c(p) = -p**2 + 3*p + 2. Let j be (4/2)/((-12)/18). Let g(h) = -h**2 + 2*h + 2. What is j*c(z) + 4*g(z)?
-z**2 - z + 2
Suppose 2*u - 3*j = 2 - 13, 2*u = 2*j - 6. Let o(d) = -4*d**2 + d**u + 4*d**2. Let v(i) = 6 + i**2 - 2 - 4. What is -2*o(y) + v(y)?
-y**2
Let f(k) = -17*k**3 - 9*k**2 + 13. Suppose 4*l + 13 = -4*t - 27, 2*l - 6 = 0. Let c(y) = 8*y**3 + 4*y**2 - 6. Calculate t*c(b) - 6*f(b).
-2*b**3 + 2*b**2
Let z(s) = -13*s**2 - 9*s - 7. Let o(h) = 4*h**2 + 3*h + 2. Let a be (9/6)/(3/4). What is a*z(u) + 7*o(u)?
2*u**2 + 3*u
Let s(n) = n**2 + 1. Let k(c) = 8*c**2 + 2. Determine 4*k(y) - 8*s(y).
24*y**2
Let t(s) = s**3 + 2*s**2 + 3*s + 2. Let o(h) = 6*h**3 + 11*h**2 + 15*h + 11. Let f be 36/12 + 1 + -2. Calculate f*o(c) - 11*t(c).
c**3 - 3*c
Let q(g) = g - 2. Suppose 2*w + 0*w + k + 2 = 0, 5*k = 2*w - 22. Let a(c) = -1. Let m(v) = 3*v - 18. Let j be m(5). Determine j*a(x) + w*q(x).
x + 1
Let n(w) = 5*w - 3. Let m(b) = 14*b - 8. Determine -3*m(s) + 8*n(s).
-2*s
Let g(c) = 3*c**3 - c**2 + 2*c. Let y(f) = 10*f**3 - 4*f**2 + 7*f. Suppose -26 = 4*l + 30. Determine l*g(p) + 4*y(p).
-2*p**3 - 2*p**2
Let o(y) = 70*y**3 + 6*y - 6. Let k(j) = -69*j**3 - 7*j + 7. Determine 6*k(t) + 7*o(t).
76*t**3
Let s(q) = 10*q**2 + 6*q + 3. Suppose 0 = 2*p - 2*n - 2, -2*n = -p - 1 + 5. Let k(l) = -3*l**2 - 2*l - 1. What is p*s(u) - 7*k(u)?
u**2 + 2*u + 1
Let y(s) = s - 1. Let f(d) = -3. Let g(l) = -1. Let o(z) = f(z) - 2*g(z). What is -4*o(r) + 3*y(r)?
3*r + 1
Let y(j) = -8*j**3 + 13*j**2 + 7*j + 7. Let k(l) = -4*l**3 + 7*l**2 + 4*l + 4. Give -7*k(b) + 4*y(b).
-4*b**3 + 3*b**2
Let h(a) = -a**2 - a + 1. Let w(n) = -7*n**2 - 6*n + 4. Give -5*h(c) + w(c).
-2*c**2 - c - 1
Let l(y) = -y**2 + 1. Let a(g) = 2 - 2 - 1. Determine -a(z) - l(z).
z**2
Let i(w) = 7*w**3 - 18*w**2 + 6*w + 6. Let c(l) = -20*l**3 + 53*l**2 - 17*l - 17. Give -6*c(n) - 17*i(n).
n**3 - 12*n**2
Let g(n) = -7*n - 6. Let b(q) = -6*q - 5. Let o be -3 + (-6)/(-1) + -1. Suppose d + 9 = -2*c, o*d - 3 = -d. What is c*b(f) + 4*g(f)?
2*f + 1
Let d(v) = 1218*v**3 + 116*v**2 + 116*v - 116. Let f(i) = -53*i**3 - 5*i**2 - 5*i + 5. Give -5*d(j) - 116*f(j).
58*j**3
Let a(p) = 7*p + 3. Let n(c) = -1 - 1 + 3*c + 4. Calculate -3*a(f) + 5*n(f).
-6*f + 1
Let a(z) be the third derivative of -7*z**4/24 - 13*z**3/6 + 4*z**2 + 2. Let p(w) = 4*w + 7. Determine -3*a(f) - 5*p(f).
f + 4
Let n(z) = z**3 + z**2 - z + 1. Let y(c) = -3*c**3 - 7*c**2 + 5*c - 5. Let h be 10*((-28)/(-8) + -3). Calculate h*n(t) + y(t).
2*t**3 - 2*t**2
Let f(t) = 3*t**3 - t**2 - 3*t - 4. Let g(w) = -2*w**3 + w**2 + 3*w + 3. Calculate 3*f(v) + 4*g(v).
v**3 + v**2 + 3*v
Let y(v) = -4*v**2 + v + 1. Let i(b) = 9*b**2 - 3*b - 1. What is -2*i(s) - 5*y(s)?
2*s**2 + s - 3
Let j(m) = 3*m + 22. Let t be j(-8). Let s(l) = 4*l + 2. Let y(r) = -17*r - 9. What is t*y(h) - 9*s(h)?
-2*h
Let l be ((-7)/(7/(-6)))/3. Let t(x) = x**3 - 3*x - 3. Let a(y) = -y - 1. Determine l*t(v) - 6*a(v).
2*v**3
Let r(a) = -9*a + 2. Let q(s) = 10*s - 3. Calculate 6*q(c) + 7*r(c).
-3*c - 4
Let t(q) = -q**3 - q**2 + 1. Let f(v) = -5*v**3 - 6*v**2