- 1. Determine d*f(m) + b(m).
m + 2
Let t(l) = l**2 - l. Let j(s) = s**2 - 2*s. Give j(u) - 2*t(u).
-u**2
Let t(q) = -q**2 - q - 1. Let y(s) = 9*s**2 + 4*s + 6. Determine 4*t(u) + y(u).
5*u**2 + 2
Let c(h) be the first derivative of h**3 - h**2/2 + 3*h - 3. Let b(n) be the first derivative of c(n). Let m(r) = 2*r. Give 2*b(u) - 7*m(u).
-2*u - 2
Suppose -2*a + 3*m = 6*m + 37, 3*a + 38 = -m. Let l(h) = -17*h - 5. Let v(g) = -6*g - 2. Determine a*v(q) + 4*l(q).
-2*q + 2
Let m(s) = -1. Let f(z) = -2*z - 7. Let b(a) = 3*a**2 - 3*a. Let h be b(2). Calculate h*m(c) - f(c).
2*c + 1
Suppose -50 = 4*l - 2*t, 2*t + 2*t - 50 = 3*l. Let z(s) be the second derivative of s**2/2 - 79*s. Let g(c) = 2*c + 8. Calculate l*z(x) + g(x).
2*x - 2
Let f(j) = 7*j + 6. Let k(x) = 20*x + 17. Suppose 2*s - 4*t + 16 = s, 5*s - t + 23 = 0. Let a = s - -10. Give a*k(r) - 17*f(r).
r
Let c(o) = 6*o**2 + 11*o + 4. Let g(m) = -3*m**2 - 6*m - 2. Let v(b) = b**2 + 5*b - 3. Let r be v(-7). Calculate r*g(i) + 6*c(i).
3*i**2 + 2
Let p(o) = -2*o**3. Let g(h) = -3*h**3 - h. Calculate -3*g(w) + 5*p(w).
-w**3 + 3*w
Let o(g) = -36*g - 39. Let v(b) = b + 1. Give -6*o(x) - 234*v(x).
-18*x
Let h(b) = -4*b - 2. Let a(o) = 32*o + 17. Determine 6*a(m) + 51*h(m).
-12*m
Let f(h) = h + 1. Let y(z) = 4*z**3 - 2*z - 2. Give 10*f(u) + 5*y(u).
20*u**3
Let a = -8 - -15. Let v(y) = 0*y**2 + y - 3*y + a*y - 6*y**2. Let u(z) = z**2 - z. Determine -5*u(h) - v(h).
h**2
Let q(g) = 5*g**3 - 3*g**2 + 3*g - 3. Suppose 3*u + 2 = u. Let m(d) = d**3 - d**2 + d - 1. Let r = 2 + 1. Determine r*m(f) + u*q(f).
-2*f**3
Let d(b) be the third derivative of b**4/24 - b**3/6 + 6*b**2. Let n(k) = -2*k + 4. Determine -4*d(p) - n(p).
-2*p
Let n(r) = 3*r**3 + 4*r**2 - 5*r. Let l(k) = k**2 - k. Let g = -15 - -14. What is g*n(b) + 4*l(b)?
-3*b**3 + b
Let k(n) = -8*n**2 - 4*n - 7. Suppose -6*j = -j - 95. Let w(l) = 11*l + 10 + 23*l**2 - 9 + j. What is 17*k(f) + 6*w(f)?
2*f**2 - 2*f + 1
Let k(a) = 38*a + 3. Let y(r) = 77*r + 7. Calculate 7*k(x) - 3*y(x).
35*x
Let n(a) = 5*a**3 + 7*a**2 - 7*a + 2. Let m(f) = 3*f**3 + 4*f**2 - 4*f + 1. Suppose 2*q + 2 = 0, 3*v + 5 + 10 = -3*q. Calculate v*n(w) + 7*m(w).
w**3 - 1
Let b(j) = 36*j**3 - 21*j**2 + 21. Let k = -15 - -36. Let i(q) = -7*q**3 + 4*q**2 - 4. Calculate k*i(r) + 4*b(r).
-3*r**3
Suppose k = 11 - 1. Let y = -7 + k. Let s(z) = 4*z**2 + 2*z + 3. Let t(o) = -11*o**2 - 6*o - 8. What is y*t(x) + 8*s(x)?
-x**2 - 2*x
Let k(x) = -x**3 + x - 1. Let t(y) = -3*y**3 + y**2 + 5*y + 13. What is 5*k(g) - t(g)?
-2*g**3 - g**2 - 18
Let y(l) = -7*l**2 + 7*l - 9. Let q(w) = 10*w**2 - 10*w + 13. Give 5*q(u) + 7*y(u).
u**2 - u + 2
Let z(t) = 240*t**3 + 35*t**2 + 35*t + 35. Let q(r) = -20*r**3 - 3*r**2 - 3*r - 3. Calculate -35*q(w) - 3*z(w).
-20*w**3
Let y(x) = -4*x**2 - 4*x + 8. Let w(z) = -z**2 + 1. Give -8*w(c) + y(c).
4*c**2 - 4*c
Let k(w) = -6*w**3 - 5*w**2 + 2*w + 8. Let h(p) = -p**3 - p**2 + 1. Determine 5*h(o) - k(o).
o**3 - 2*o - 3
Let v = 35 - 37. Let g(b) = -4*b - 3. Let y(i) = -2*i - 1. Calculate v*g(h) + 5*y(h).
-2*h + 1
Let g(z) = -238*z - 204. Let h(j) = -j - 1. Give -g(k) + 204*h(k).
34*k
Let d(m) = 4*m**3 - 2*m + 2. Let o(j) = j**3 + 6*j**2 + 6*j + 3. Let c be o(-5). Let z(l) = -9*l**3 + 5*l - 5. Calculate c*z(q) - 5*d(q).
-2*q**3
Let n(y) = y**3 + 2*y**2 - 4*y - 3. Suppose 0*j - 5*j = -i - 12, 4*j - 16 = 4*i. Let z(a) = -a**3 - 3*a**2 + 5*a + 4. Determine j*z(x) + 3*n(x).
x**3 - 2*x - 1
Let n(x) = -x + 1. Let a be (12/(-36))/((-3)/(-9)). Let m(p) = -p + 6. Determine a*m(c) + 3*n(c).
-2*c - 3
Let i(v) = -5*v**2 + 69. Let w(a) = 3*a**2 - 46. Determine 5*i(l) + 8*w(l).
-l**2 - 23
Let a(y) = 11*y**3 + 5*y - 1. Let o(t) = 11*t**3 + 5*t - 2. Let l(u) = -3*a(u) + 4*o(u). Let m(k) = 16*k**3 + 7*k - 7. What is 7*l(j) - 5*m(j)?
-3*j**3
Let p(g) = -2*g - 8. Let c(u) = 5*u + 24. What is -3*c(x) - 8*p(x)?
x - 8
Let i(o) = 1. Let q(l) = 2. Let w(j) = 3*i(j) - q(j). Let r be (-20)/(-3) - 10/15. Let k(y) = y - 2 + 2 - r. Determine -2*k(z) - 11*w(z).
-2*z + 1
Let c(a) = 4*a - 8. Let j(l) = 1. Calculate c(t) + 10*j(t).
4*t + 2
Let z(j) = 5*j**3 + 5. Let y(w) = -w**3 - 1. Suppose 2*g = i - 1, 4*i = -6*g + g - 22. Let u = i - -6. What is u*y(k) + z(k)?
2*k**3 + 2
Suppose 0*z = 2*z - 4. Suppose -d - 5*c + 9 = -0*d, -12 = 3*d + z*c. Let f(p) = 7*p + 1. Let n(k) = 15*k + 2. Give d*n(w) + 13*f(w).
w + 1
Let p(z) = 9*z**3 - z**2 - z + 1. Let t be p(1). Let d(y) = 4*y. Let l(v) be the second derivative of -11*v**3/6 - 28*v. Give t*d(u) + 3*l(u).
-u
Let z(f) be the third derivative of f**5/30 - f**4/12 - f**3/3 + 2*f**2. Let q(k) = k + 1. Let n be q(-3). Let v(u) = -u**2 + u + 1. What is n*z(c) - 6*v(c)?
2*c**2 - 2*c - 2
Let s(u) = 7. Let c(n) = n - 36. Determine 2*c(v) + 11*s(v).
2*v + 5
Let c(x) = -x**3 - 3. Let t(l) = -3*l**3 - 5*l**2 - 5*l. Let o(j) = j**3 + j**2 + j + 1. Let i(m) = 5*o(m) + t(m). Suppose -38 + 59 = 3*b. Give b*c(h) + 4*i(h).
h**3 - 1
Suppose 3*k - 1 = 2*k - w, 0 = -4*k - 3*w + 8. Let r(q) = -9*q - 11 - k*q + 3*q + 3*q**2. Let t(n) = -n**2 + 4*n + 4. What is 4*r(x) + 11*t(x)?
x**2
Let x(v) = 3*v + 2. Let n(j) be the second derivative of j**3/6 - 5*j. Calculate 2*n(b) - x(b).
-b - 2
Let x(n) = -4*n + 9. Let g(i) = -2*i + 4. Determine 7*g(d) - 3*x(d).
-2*d + 1
Let r(n) = 6*n**3 - 8*n - 8. Let o(t) = -4*t - 1. Let q be o(-1). Let m(s) = q - 3*s**3 + 0 + s**3 + 3*s. What is 8*m(k) + 3*r(k)?
2*k**3
Let u(m) = -5*m**3 - 5*m**2 + 6. Let w(h) = -21*h**3 - 21*h**2 + 25. Give -9*u(o) + 2*w(o).
3*o**3 + 3*o**2 - 4
Let n(r) = -r**2 - r + 1. Let x(w) = w**3 + 11*w**2 + 4*w - 5. Determine 4*n(a) + x(a).
a**3 + 7*a**2 - 1
Let w(m) = -m**2 - 2*m + 3. Let i(q) = 3*q**2 + 5*q - 5. Give 2*i(k) + 5*w(k).
k**2 + 5
Let f(m) = m + 1. Let n(v) = -11*v - 3. What is 4*f(p) + n(p)?
-7*p + 1
Suppose -2*x = -11 + 3. Let f(c) = c. Let i(w) = 11*w - 4. Let l(q) = x*f(q) - i(q). Let u(a) = -a + 1. Calculate -l(g) + 5*u(g).
2*g + 1
Let p(r) = 11*r**2 + 21*r - 14. Let q(z) = 7*z**2 + 14*z - 9. Let j(x) = 5*p(x) - 7*q(x). Let k(n) = 5*n**2 + 6*n - 6. Give 6*j(c) - 7*k(c).
c**2
Let o(x) = -12*x**3 - 28*x**2 + 28. Let i(b) = b**2 - 1. Calculate -84*i(q) - 3*o(q).
36*q**3
Suppose 16*q - 25 = 11*q. Let x(t) be the first derivative of -4*t**3/3 + 5*t**2 - 13*t - 4. Let k(s) = 3*s**2 - 7*s + 9. What is q*x(y) + 7*k(y)?
y**2 + y - 2
Suppose 36 = 4*p + 4*o, 0 = 4*p - o - o - 6. Let d(l) = -p*l - 4 + 3 - 1. Let r(b) = -11*b - 6. Determine 8*d(z) - 3*r(z).
z + 2
Let g(f) = -3*f. Let b(k) = -k**2 - 3*k. Let t(d) = 4*b(d) - 3*g(d). Let y(n) = -9*n**2 - 7*n. What is -14*t(i) + 6*y(i)?
2*i**2
Let q(p) = -4*p**3 + 4*p**2 + 3*p - 3. Let c(s) = 5 + 3*s**2 - 6*s**2 - 4*s**2 - 5*s + 7*s**3. Calculate -3*c(d) - 5*q(d).
-d**3 + d**2
Let s(h) = h**2 + 2*h - 1. Let y(z) = -2*z**2 - 3*z + 2. Let r be (-14)/3 + (-22)/(-33). Calculate r*y(g) - 6*s(g).
2*g**2 - 2
Let v(b) = -5*b**3 - 3*b**2 - 3*b + 5. Let g(a) = 7 - 9*a**3 + 0 + 2 - 5*a**2 + 0*a**3 - 5*a. Determine 3*g(h) - 5*v(h).
-2*h**3 + 2
Let a(n) = n - 5*n**3 + n**3 + 9*n**3 - 5. Let s(r) = 11*r**3 + 2*r - 11. Suppose 13 = 4*b + 2*g + 3, 3*b - 14 = 5*g. What is b*s(y) - 7*a(y)?
-2*y**3 - y + 2
Let z(t) = -4*t**3 - 10*t**2. Let q = -5 - -8. Suppose q = -2*c + 5. Let a be (2/(-3))/(c/(-15)). Let l(j) = -j**3 - 3*j**2. Calculate a*l(m) - 3*z(m).
2*m**3
Let o(r) = 0 - 5 - 11*r**2 + 6*r + 4*r**2. Let a(u) = -8*u**2 + 7*u - 6. Calculate -5*a(g) + 6*o(g).
-2*g**2 + g
Let f(g) = -70*g**3 + 7*g**2 + 7*g. Let s(o) = 47*o**3 - 5*o**2 - 5*o. Calculate 5*f(i) + 7*s(i).
-21*i**3
Let f(c) = 5*c - 10. Let i(p) = -15*p + 29. Determine -17*f(y) - 6*i(y).
5*y - 4
Let z(m) = -2*m + 11*m**2 + 0*m**3 - m**3 - 12*m**2 - 1 + 3*m. Suppose -4*j + 1 + 3 = 0. Let p(c) = -3*c**2 + 3*c - 3. What is j*p(w) - 3*z(w)?
3*w**3
Let z(h) = -11*h**3 - h**2 - 9*h + 9. Let v(p) = 17*p**3 + p**2 + 14*p - 14. Give -5*v(t) - 8*z(t).
3*t**3 + 3*t**2 + 2*t - 2
Let n(q) = q**2 + 7. Let u(y) = 1. Let b(w) = -n(w) + 6*u(w). Let s(v) = -4*v**2 - 6. What is -6*b(k) + s(k)?
2*k**2
Let u be 4 + -1 + 2 + -1. Let j(w) = -u - 6 - 5*w + 0 - 6. Let x be 4/6*(-15)/5. Let k(r) = r + 3. Calculate x*j(f) - 11*k(f).
-f - 1
Let d(f) be the third derivative of -3*f**2 + 0 + 1/24*f**4 - f**3 + 0*f. Let v(k) = -1. Let n(l) = l - 3. Let m be n(2). What is 