- 4. Let o(p) = p**2 + p - 3. Let b(q) = -q**2 + 2. Let c = 8 + -5. Suppose -c*r - 4*t + 0*t + 7 = 0, -r + 3*t = 15. What is g*o(m) + r*b(m)?
m**2 - 2*m
Let t(y) = 5*y - 1. Let f(p) = -48*p. Let n(l) = -7*l. Let r(c) = 3*f(c) - 20*n(c). Determine 4*r(g) + 3*t(g).
-g - 3
Let o(b) = -b**2 - 5*b + 11. Let g(p) = -p**2 - 3*p + 6. Let a be (-3)/(-12) + 33/12. What is a*o(h) - 5*g(h)?
2*h**2 + 3
Let f(m) = -10*m**2 - 33*m + 28. Let s(t) = 15*t**2 + 50*t - 42. Let z(k) = 8*f(k) + 5*s(k). Let b(v) = 2*v**2 + 5*v - 5. Calculate -8*b(y) - 3*z(y).
-y**2 + 2*y - 2
Let c be 2 - (-1 + 2)*-1. Let x(j) = -16*j - 7. Let p(f) = -47*f - 20. Let d(s) = c*p(s) - 8*x(s). Let l(n) = -3*n - 1. Calculate 4*d(g) - 18*l(g).
2*g + 2
Let i(p) = 9*p**2 + 2*p - 5. Let k(h) = 4*h**2 + h - 3. Give -3*i(j) + 7*k(j).
j**2 + j - 6
Let o(b) = 31*b + 2. Let m(z) = -16*z - 1. What is 5*m(r) + 3*o(r)?
13*r + 1
Let r(b) = -b**3 + b**2 + 2*b + 3. Suppose 23 + 5 = -4*a. Let c(p) = -3*p**3 + 3*p**2 + 7*p + 10. What is a*r(j) + 2*c(j)?
j**3 - j**2 - 1
Let k(h) = 3*h**3 - 5*h**2 - 5*h + 5. Let u(l) = l**2 + l - 1. Give k(m) + 5*u(m).
3*m**3
Suppose 2*o - 4*o = -10. Let j(v) = 4*v + 2. Let f(z) be the third derivative of -z**4/12 - z**3/6 + z**2. Give o*f(w) + 2*j(w).
-2*w - 1
Let t(i) = -1. Let d(y) be the third derivative of y**4/12 + 5*y**3/6 - 9*y**2. What is -d(j) - 6*t(j)?
-2*j + 1
Let l(g) = 0*g**2 - 7*g**2 + 4*g**2. Let d(f) = -6*f**2. Determine 3*d(c) - 7*l(c).
3*c**2
Let r(v) be the first derivative of 4*v - v**2 + 4 - 3*v**2 + 2*v**2. Let j(o) = -2*o + 2. Determine 7*j(t) - 3*r(t).
-2*t + 2
Let c(g) = 2*g**3 + 4*g + 4. Let a = 24 - 28. Let v(u) = 3*u**3 + 7*u + 7. Determine a*v(k) + 7*c(k).
2*k**3
Let w(d) = -33*d**2 - 29*d**2 - 2*d + 66*d**2. Let f(b) = b. Calculate -2*f(q) - w(q).
-4*q**2
Let y(g) = -1197*g**3 - 209*g**2 + 209*g + 209. Let k(o) = -23*o**3 - 4*o**2 + 4*o + 4. What is 209*k(h) - 4*y(h)?
-19*h**3
Let d(h) = -h - 4. Let c(j) = -1. Determine -c(x) + d(x).
-x - 3
Let y(f) = 3*f - 5. Let v(g) = 1. Calculate -2*v(s) - y(s).
-3*s + 3
Let l(u) = -9*u + 2. Let s(q) be the first derivative of -17*q**2/2 + 4*q - 9. Give -7*l(b) + 4*s(b).
-5*b + 2
Let l(s) = 6*s**3 - 4*s. Let p(k) = -5*k**3 + 3*k. Suppose o = 5 + 2. Let y(h) = o*p(h) + 6*l(h). Let c(x) = -x. Determine -3*c(n) + y(n).
n**3
Let b(j) = -j + 1. Let g(y) = -y + 3. Let o be g(4). Let k(d) be the first derivative of 2*d**2 + 1. Suppose -2*s - s - 6 = 0. What is o*k(n) + s*b(n)?
-2*n - 2
Let h(d) = -10*d**3 - 7*d**2 + 7*d. Let n(t) = -t**3 - t**2 + t. Calculate 4*h(o) - 28*n(o).
-12*o**3
Let d(y) = 11 + y - 11 + 4*y + 3*y**2. Suppose i = -3*g - 0*i + 1, -4*g + 4*i = -28. Let t(x) = x**2 + 2*x. What is g*d(w) - 5*t(w)?
w**2
Let j be -3 + 4/2 + -4. Let h(q) = -7*q - 4. Let m(a) = 41 - 22 - 14 + 8*a. Calculate j*h(b) - 4*m(b).
3*b
Let w(z) = -z**2 + z. Let d(m) = -8*m**2 - m. Give d(t) + 2*w(t).
-10*t**2 + t
Let s(r) be the second derivative of r**3/2 + 3*r**2/2 - r. Let j be 511/(-73) + 2/2. Let m(i) = i + 1. Determine j*s(d) + 17*m(d).
-d - 1
Let k(r) = 132*r**3 + 63*r. Let b(h) = -19*h**3 - 9*h. Let n(t) = -27*b(t) - 4*k(t). Let p = -9 + 14. Let s(d) = 8*d**3 + 5*d. What is p*n(c) + 9*s(c)?
-3*c**3
Let f = 41 + -47. Let t(b) = 17*b - 13. Let p(g) = 8*g - 6. What is f*t(o) + 13*p(o)?
2*o
Let o(n) = -2*n**2 - 2*n + 3. Let d(w) = -6 + 1 + 5 - w**2 - w + 1. What is 4*d(u) - o(u)?
-2*u**2 - 2*u + 1
Let k(h) = -h**3 - h**2 - 1. Let m(u) = -2*u**2 - 2. Determine -2*k(b) + m(b).
2*b**3
Let a(r) = -3*r**2 + r. Let u(g) = 4*g**2 - 2*g. Suppose 2*h + 54 = 5*n, 0*n - 3*n + 3*h + 27 = 0. Suppose -n = 5*j + 18. Determine j*a(f) - 4*u(f).
2*f**2 + 2*f
Let w(u) = -u**3 - 2*u**2 + 8*u + 3. Let z be w(-4). Let r(b) = -b**3 + 3*b + 2. Let l(y) = y**3 - 5*y - 3. What is z*l(i) + 5*r(i)?
-2*i**3 + 1
Let o(v) = -3*v. Let c(r) be the second derivative of -1/3*r**3 + 0*r**2 + r + 0. What is 5*c(x) - 3*o(x)?
-x
Let s(f) = 3*f**3 - f**2 - f - 3. Let a(m) = 3*m**3 - m**2 - 2*m - 4. Suppose 5*n + 3 = 4*n. What is n*a(i) + 4*s(i)?
3*i**3 - i**2 + 2*i
Suppose 4*p - 5 - 9 = -2*j, -3*p + 13 = 2*j. Suppose -5*v - 9 = -4*b + 11, -j*v = 0. Let l(z) = 5*z + 6. Let c(s) = 3*s + 4. What is b*l(x) - 8*c(x)?
x - 2
Let n(r) = -4*r**3 - 5*r**2 - 6*r - 6. Let b(o) = 48*o**3 - o - 6*o**2 - 7 - 53*o**3 - 6*o. Calculate -5*b(x) + 6*n(x).
x**3 - x - 1
Let c(k) = 253*k**2 - 55*k - 55. Let r(z) = 18*z**2 - 4*z - 4. Determine -4*c(f) + 55*r(f).
-22*f**2
Let s(b) = b**2 + 2*b - 6. Let g(z) = z**2 + z - 5. Calculate -3*g(c) + 2*s(c).
-c**2 + c + 3
Let m(o) = -13*o**2 + 4*o. Let f(k) = -26*k**2 + 7*k. Calculate -4*f(b) + 7*m(b).
13*b**2
Let p(x) be the first derivative of -5*x**2/2 + 6*x - 29. Let a(u) = 5*u - 7. Calculate 6*a(g) + 7*p(g).
-5*g
Let m(w) = -43*w - 5. Let r(q) = 21*q + 2. Calculate 3*m(f) + 7*r(f).
18*f - 1
Let f be (-1)/1 + 1 + -3. Let g(h) = -4 + 4*h - 3*h + 3. Let i(k) = k**2 + k - 2. Let q(n) = -5*g(n) + i(n). Let a(j) = j**2 - 3*j + 2. What is f*q(r) + 4*a(r)?
r**2 - 1
Let m(a) = -a**2 + 2. Let p = 4 - 0. Suppose b + 3*b = p. Let t(o) = 1 + 2 + o**2 - 4 + 0*o**2. What is b*m(w) + 3*t(w)?
2*w**2 - 1
Let c(r) = r - 1. Let n(t) be the third derivative of -t**4/4 + 7*t**3/6 + 2*t**2. Determine 5*c(s) + n(s).
-s + 2
Let j(b) = -1. Let h(x) = 8*x - 4. Calculate h(z) - 6*j(z).
8*z + 2
Let d(j) = -2*j - 4. Let p(z) = -1 + 15 - 1. Let b(u) = 7. Let r(t) = 11*b(t) - 6*p(t). Give -d(k) + 4*r(k).
2*k
Let c(h) = 42*h - 14. Let s(f) = 28*f - 9. Determine -5*c(u) + 8*s(u).
14*u - 2
Let i(d) = 23*d**2 + 2. Let k(c) = 69*c**2 + 7. Give 7*i(y) - 2*k(y).
23*y**2
Let s(q) = 2*q**3 - 5*q**2 + 3. Let b(g) = -5*g**3 + 11*g**2 - 6. Calculate -4*b(a) - 9*s(a).
2*a**3 + a**2 - 3
Suppose 4*y + 4 = 0, 3*y = -a + 11 - 31. Let c(z) be the second derivative of z**3/6 + 7*z**2/2 - 2*z. Let h(o) = 20 + o + o + o. Calculate a*c(m) + 6*h(m).
m + 1
Suppose 25 = 6*h - h, -2*p - h = 11. Let l(s) = 14*s**3 + 2*s**2 + 14*s + 8. Let d(c) = 5*c**3 + c**2 + 5*c + 3. Give p*d(u) + 3*l(u).
2*u**3 - 2*u**2 + 2*u
Let t(w) = -w. Let c(v) = -3*v**3 - 12*v. Give -c(u) + 15*t(u).
3*u**3 - 3*u
Let g(x) = -x**3 - x**2 - x. Let p(q) = -4*q**3 - 4*q**2 - 2*q + 0*q - 2*q - 2*q. Determine 5*g(w) - p(w).
-w**3 - w**2 + w
Suppose 3*q = -2*i + 11, 3*i - 16 = -4*q - 0*q. Let w(p) = p**2 + p. Let a(s) = -3*s**2 - 4*s. Let f be -1 + (-3 - -4) - (2 + -6). Calculate f*w(k) + q*a(k).
k**2
Let g(b) = -15*b + 5. Let x(p) = p + 1. Let d(z) = -14*z - 3. Let a(i) = -d(i) - 6*x(i). Give -5*a(f) - 3*g(f).
5*f
Let w = 198 + -199. Let r(g) = 7*g - 7. Let z(l) = l**3 - l + 1. Determine w*r(u) - 7*z(u).
-7*u**3
Let s = -111 - -120. Suppose -6 = -j - 4. Let r(i) = -2 - 1 + 4*i**2 - 2 + 8*i. Let m(x) = -x**2 - 2*x + 1. Calculate j*r(t) + s*m(t).
-t**2 - 2*t - 1
Let q(i) = 2 - 13*i + 14*i**2 - 16*i**3 - 4 + 3 + 15*i**3. Let b be q(13). Let w(a) = -a - 1. Let l(j) = -j. What is b*l(s) - 2*w(s)?
s + 2
Let a(j) be the second derivative of 0*j**3 + 1/6*j**4 + 3*j + 0*j**2 + 0. Let v(k) = k**2. Calculate 2*a(n) - 3*v(n).
n**2
Let d(z) = -13*z + 130. Let b(v) = 2. Give -130*b(n) + 2*d(n).
-26*n
Let l(u) = 2. Let g(x) = 4*x - 10. Determine -2*g(j) - 10*l(j).
-8*j
Let t(w) be the second derivative of 7*w**4/12 + w**3/2 + 3*w**2/2 - 2*w. Let l(v) = 10*v**2 + 4*v + 4. Give 5*l(q) - 7*t(q).
q**2 - q - 1
Let q(i) = -12*i + 59. Let l be q(5). Let f(a) = -a**2 + a - 1. Let x(c) = 8*c**2 - 6*c + 5. Determine l*x(y) - 6*f(y).
-2*y**2 + 1
Let t(m) = -2*m**3 + 3*m**2 - m + 1. Let d(w) = -9*w**3 + 13*w**2 - 5*w + 4. Calculate -6*d(g) + 26*t(g).
2*g**3 + 4*g + 2
Let i(p) = 2*p**3 - 6*p. Let q(u) = -10*u - 4*u + 15*u. Suppose 3*j = -2*n + 6, -7*n + 3*n - 2*j = -20. Calculate n*q(x) + i(x).
2*x**3
Let l(y) = 6*y - 4. Let i(p) = -7*p + 2. Let c(r) = 5*i(r) + 4*l(r). Let h(m) = -4*m - 2. Calculate -3*c(f) + 8*h(f).
f + 2
Let l(p) = -p**3 + p**2 - 1. Suppose 0 = b + 4*b - 40. Suppose 0 = 5*c + b - 53. Let i(f) = 12*f**2 - 8*f**3 - c - 2 + 1. What is i(n) - 10*l(n)?
2*n**3 + 2*n**2
Let l(s) = -s**3 - 6*s + 7. Let o(r) = 3*r**3 + 17*r - 20. Give -17*l(a) - 6*o(a).
-a**3 + 1
Suppose y - 3*s = 0, 0 = 2*s - 3*s. Let q = y - 5. Let a(o) = -o**3 + 7*o**2 + 7*o. Let z(i) = i**3 - 5*i**2 - 5*i. Calculate q*a(r) - 7*z(r).
-2*r**3
Let q(w) = 5*w**2 + 2*w. 