- 1. Let n(y) = 6*y**3 - 12*y**2 - 3*y - 1. Determine 4*m(k) - 5*n(k).
-2*k**3 + 12*k**2 - k + 1
Let f(q) = q**2 - q - 1. Let z be -2 - (-1 - 2) - (3 - 1). Let i(k) = -2*k**2 + 3*k + 3. Give z*i(w) - 3*f(w).
-w**2
Let p(g) = -3*g**2 - 5. Let z(m) = m**3 + 2*m**2 - m + 1. Let w be z(-3). Let x(n) = -3*n**2 - 6. Calculate w*x(o) + 6*p(o).
-3*o**2
Let j(b) = 39*b**2 - 2*b. Let l(s) = -20*s**2 + s. Calculate 2*j(y) + 5*l(y).
-22*y**2 + y
Suppose -6 = 5*l + 4. Let n(g) = -g**2 + 3*g - 1. Let k(o) = -o**2 + 2*o - 1. Determine l*n(v) + 3*k(v).
-v**2 - 1
Let y(u) = -3*u**2. Let g(c) = -10*c**2. What is -5*g(t) + 16*y(t)?
2*t**2
Suppose -6*b + 51 = -3*b. Let d(p) = 3*p + 6. Let w(x) = -8*x - 17. Calculate b*d(m) + 6*w(m).
3*m
Let h(w) = -w**2 + 7*w. Let r(d) = d**2 - 5*d. Give -5*h(k) - 7*r(k).
-2*k**2
Let d(u) = -u**2 + 15*u + 35. Let t be d(17). Let v(n) = 4*n**2 + 7*n - 5. Let j(a) = a**2 + a - 1. Calculate t*v(o) - 5*j(o).
-o**2 + 2*o
Let m be 4 - 3 - -11*1. Let v be 1/(10/m + -1). Let f = 0 + v. Let c(p) = -1. Let b(l) = l**2 - 7. Determine f*c(z) + b(z).
z**2 - 1
Let d(s) = -s**2 - s - 7. Let x(a) = -a**2. Calculate d(m) - 4*x(m).
3*m**2 - m - 7
Let o(n) = n**3 + 3*n + 2. Let d be o(-1). Let c(m) = -2*m**3 - 3*m**2 + 3*m + 2. Let h(l) = -2*l**3 - 4*l**2 + 2*l + 3. Give d*h(j) + 3*c(j).
-2*j**3 - j**2 + 5*j
Let u(m) = -7*m - 22. Let q(k) = -8*k - 23. What is 6*q(b) - 7*u(b)?
b + 16
Let v(y) = -y**2 + 2*y - 4. Let t(g) = g**2 - 3*g + 4. Let p(b) = 4*t(b) + 5*v(b). Let h(k) = 9*k + 29 + 4*k**2 + 16 - 13 - 15. Determine 6*h(l) + 26*p(l).
-2*l**2 + 2*l - 2
Suppose 3*v + 5*c = 3, 0 = 2*v + 3*c - 1 - 2. Let x(t) = -4*t**3 + 3*t**2 + 3. Let w(f) = -15*f**3 + 11*f**2 + 11. Give v*w(h) - 22*x(h).
-2*h**3
Let m(p) = -12*p**2 + 34*p - 34. Let b(y) = 3*y**2 - y - 7. Let g(j) = 8*j**2 - 2*j - 20. Let s(w) = 11*b(w) - 4*g(w). Determine 6*m(c) + 68*s(c).
-4*c**2
Let z = 2 + 1. Let r(g) = g - 1. Let x(o) = 3*o + 2. Let q(i) = 2*r(i) - x(i). Let t(j) = 6*j + 18 - 13 - 5*j. Calculate z*t(w) + 4*q(w).
-w - 1
Let z(w) = w - 9. Let q(b) = b - 10. What is -3*q(l) + 2*z(l)?
-l + 12
Let h(b) = b**3 - b - 1. Let w(o) = 35*o**3 - 42*o - 42. Give -42*h(c) + w(c).
-7*c**3
Let g(s) be the second derivative of -s**5/5 + s**4/3 + 2*s**3/3 + 5*s**2/2 - 44*s. Let z(h) = h**2 + h + 1. What is g(w) - 4*z(w)?
-4*w**3 + 1
Let a(d) = -9*d**2 - 5*d - 8. Let o(q) = -8*q**2 - 4*q - 7. What is 5*a(x) - 6*o(x)?
3*x**2 - x + 2
Suppose 3*g = -s - 11, -6*g = 3*s - 2*g + 13. Let l(p) = -3 + 3*p + 0 + s. Suppose -5*t = 1 - 11. Let v(o) = -16*o + 11. Calculate t*v(y) + 11*l(y).
y
Let m be (0 - -3) + 15/(-5) - 2. Let c(b) = -1. Let z(i) = i - 3. Calculate m*z(j) + 5*c(j).
-2*j + 1
Let t(q) = -q**2 + q. Let d(j) = -3*j**2 + j. Let v(u) = -d(u) + 2*t(u). Let n(m) = -2*m**2 - 3*m - 2. Give -n(i) - 3*v(i).
-i**2 + 2
Let d be (1/(-1))/2*-2. Let t(m) = -m**2 + m + 1. Let u be (-6)/8 - 22/(-8). Let p(l) = 6*l**u - 5*l + 10 + 15*l - 18*l**2. Calculate d*p(h) - 10*t(h).
-2*h**2
Suppose 4*k = z + 2, -4*z - 3 = -2*k + 19. Let d(h) = -4*h - 2. Suppose 2*s - 3 = 7. Let y(q) = -3*q - 2. Give s*d(a) + z*y(a).
-2*a + 2
Let u(w) = 2*w**2 - 2. Let h(k) = 1. Give -2*h(s) - u(s).
-2*s**2
Let u(n) = 2*n - 1. Let l(k) = -5*k + 3. Let x = -8 + 22. Suppose -5*v + x = 54. Give v*u(r) - 3*l(r).
-r - 1
Let o(a) = -a + 2. Let f be o(6). Let k(p) = -3*p + 1. Let l(q) = -4 + 5*q - 3 + 5 + 0*q. What is f*l(j) - 7*k(j)?
j + 1
Let p(j) = -3*j**2 + 2*j + 4. Let y(g) = -3*g**2 + 3*g + 5. Calculate -3*p(a) + 2*y(a).
3*a**2 - 2
Let i(t) = -8*t**2. Let g(q) = -3*q**2. Let v(n) = 16*g(n) - 5*i(n). Let j(p) = -15*p**2. Give -5*j(k) + 9*v(k).
3*k**2
Let k(o) = 6*o**3 - 4*o**2 - 4*o + 4. Let n(l) = -30*l**3 + 21*l**2 + 21*l - 21. Give -21*k(c) - 4*n(c).
-6*c**3
Let q(m) = -2*m**2 + 5*m - 2. Let k(h) = -3*h**2 + 9*h - 3. Determine 3*k(z) - 5*q(z).
z**2 + 2*z + 1
Let b(y) = y. Let c(f) = -3*f**3 - 5*f. What is -5*b(s) + c(s)?
-3*s**3 - 10*s
Let b = -103 + 92. Let d(o) = -2*o + 17. Let n(x) = -x + 6. Determine b*n(s) + 4*d(s).
3*s + 2
Let f(y) = -3*y**2 + 5*y + 1. Let z(l) = -6*l**2 + 11*l + 2. What is -9*f(w) + 4*z(w)?
3*w**2 - w - 1
Let w(h) = -1. Suppose z - 3*o = -12, -5*o - 11 + 31 = -3*z. Let q(y) = -y + z*y - y. What is q(g) + 2*w(g)?
-2*g - 2
Let d(m) = -m - 2. Let l(p) = p. Suppose -5*w - 2*n = -6*n - 7, -5*n = -w + 14. Calculate w*d(b) - 2*l(b).
-b + 2
Let a(q) = 4*q**3 - q**2 + q + 3. Let m(d) be the second derivative of 7/2*d**2 - 1/4*d**4 + 0 + 9/20*d**5 + d + 1/2*d**3. Calculate -7*a(g) + 3*m(g).
-g**3 - 2*g**2 + 2*g
Let p(t) = 4*t - 1. Let v(k) = 5*k - 1. Determine 6*p(j) - 5*v(j).
-j - 1
Let c(h) = 10*h - 5. Let w(b) = 29*b - 14. What is 8*c(v) - 3*w(v)?
-7*v + 2
Let w(u) = 0*u - 6*u - u + 7*u**2. Let b(m) = 12*m**2 - 10*m + 2. Let n(x) = 61*x**2 - 50*x + 11. Let h(o) = 22*b(o) - 4*n(o). Give 6*h(t) - 17*w(t).
t**2 - t
Let p(s) = s. Let t(v) = -v**2 - 4*v - 11. Let i(j) = 2*j**2 + 9*j + 24. Let f(y) = -6*i(y) - 13*t(y). Calculate -f(u) - 4*p(u).
-u**2 - 2*u + 1
Suppose 4*o + 7 = -1. Let t(j) = 0*j - 3*j**2 - 1 + 2*j**2 + j. Let g(b) = 15*b + 7 - 6*b + 3*b**2 - 5*b - 7*b - 4. Calculate o*g(z) - 5*t(z).
-z**2 + z - 1
Let w(g) = 6*g**3 - 3*g**2 - 4*g - 4. Let t(i) = -17*i**3 + 8*i**2 + 11*i + 12. Determine 4*t(d) + 11*w(d).
-2*d**3 - d**2 + 4
Suppose 0*w - 3*w - 5*c = -34, 3*c = 5*w. Let r(n) = 5*n. Let d(g) = 2*g. Determine w*r(p) - 8*d(p).
-p
Let y(p) be the first derivative of -p**2 - 3. Let c(j) be the third derivative of 3*j**2 + 0 + 0*j + 1/24*j**4 + 0*j**3. Calculate 5*c(z) + 3*y(z).
-z
Let m(s) = 2. Let g(h) = h + 2. Calculate 5*g(o) - 6*m(o).
5*o - 2
Let k(v) = -v**2. Suppose -4 + 32 = -7*r. Let n(u) = 3*u**2 - 2*u. Determine r*k(w) - n(w).
w**2 + 2*w
Let o(f) = -2*f**2 + f - 6. Let b(x) = -4*x**2 + 2*x - 13. Give -6*b(t) + 13*o(t).
-2*t**2 + t
Let r(c) = -2*c**3 + 2*c - 3. Let i(l) = 6*l**3 - 6*l + 9. Give 6*i(b) + 17*r(b).
2*b**3 - 2*b + 3
Let s(f) = -8*f**3 + 5*f**2 - 7*f. Let r(q) = -q**3 + q**2 - q. Let a(w) = w**2 + 3*w - 17. Let z be a(-6). Give z*s(c) - 5*r(c).
-3*c**3 - 2*c
Let c(k) = k**3 - 4*k + 4. Suppose z + 3*q = -0*q, 3*z - 5*q - 14 = 0. Let n(a) = -3*a**3 + 11*a - 11. What is z*n(g) + 8*c(g)?
-g**3 + g - 1
Let x(g) = -1 - 4*g - 4*g - 5. Let l(r) = r**2 - 3*r - 4. Let j be l(5). Let t(c) = -5 + 8*c + 4*c - 23*c + 4*c. Calculate j*t(i) - 5*x(i).
-2*i
Let u(z) = -8*z + 3. Let m(q) = 17*q - 7. Calculate 3*m(c) + 7*u(c).
-5*c
Let u(r) = 14*r**2 - 14*r + 14. Let g(o) = o - 1. Give -14*g(m) - u(m).
-14*m**2
Let r(b) be the third derivative of 7*b**4/8 + b**3 - b**2. Let a(g) be the third derivative of -g**4/6 - g**3/6 - 91*g**2. Calculate 11*a(f) + 2*r(f).
-2*f + 1
Let v(k) = -1 - 1 - k + 1. Let n(w) = w - 4. What is -n(u) + 2*v(u)?
-3*u + 2
Let o(z) = 2*z**3 + 3*z**2 + 8*z + 5. Let n(u) = u**2 - u + 1. Give 5*n(h) - o(h).
-2*h**3 + 2*h**2 - 13*h
Let v be (1 - 4) + (-3)/1 + 3. Let t(a) = a**2 - 3*a. Let f(p) = 2*p**2 - 4*p - 1. Calculate v*t(d) + 2*f(d).
d**2 + d - 2
Let x(u) be the second derivative of 5*u**3/2 + 2*u**2 - u. Suppose -2*a = -a - 13. Let z(b) = 6*b + 6*b + 2 - 5*b. Give a*z(j) - 6*x(j).
j + 2
Let y(p) = 5*p**3 - 2*p**2 + 1. Let w be y(-1). Let j(o) be the second derivative of -o**4/2 + 7*o**2/2 + 2*o. Let q(x) = -5*x**2 + 6. Give w*j(z) + 7*q(z).
z**2
Let n(s) = -3*s**2 + 2*s - 2. Let m(o) = o**2 - o + 1. Let c = 9 + -6. Suppose 6*w = 3*w + 6. Suppose c*x - w = x. Determine x*n(l) + 2*m(l).
-l**2
Let h(k) = k**3 + 1. Let u(n) = -5*n**3 - 3. Determine -2*h(a) - u(a).
3*a**3 + 1
Let x(m) = -3*m - 6. Let r(j) = 2*j + 3. What is -5*r(d) - 2*x(d)?
-4*d - 3
Let q(u) = 4*u**2 + 3. Suppose y + 1 = 3*k, -2*k - 8 = -5*y - 0*k. Let w(l) = 6 + 1 - 3 + 2*l**2 + 3*l**y. Give 4*q(m) - 3*w(m).
m**2
Let m(s) = -3*s**2 - 2. Let a = 2 - -8. Suppose -a*f + 6 = -7*f. Let h(v) = 7*v**2 - 2*v + 2*v + 5. What is f*h(x) + 5*m(x)?
-x**2
Let k(u) = -4*u**2 + 2*u. Suppose -10 = -2*i - 3*i. Let a(p) = 17*p**2 - 9*p. Let h(y) = y**2 - 5*y + 3. Let w be h(6). Calculate i*a(f) + w*k(f).
-2*f**2
Let w(j) = -j + 1. Let x(b) = 3*b - 11 - 15 + 24. Give -w(u) - x(u).
-2*u + 1
Let i(j) = 16*j**2 + 5*j - 11. Let y(r) = 3*r**2 + r - 2. Suppose -3*f = -4*f - 22. Calculate f*y(a) + 4*i(a).
-2*a**2 - 2*a
Let s(t) = 4*t**3 - 2*t**2 