 8. What is 3*i(s) + 8*p(s)?
s**2
Let p be (-90)/(-14) - 12/28. Let u(m) = -m**2. Let j(o) = o**3 - 6*o**2. What is p*u(w) - j(w)?
-w**3
Let g(n) = n - 2. Let r(i) = 4*i - 11. Calculate -11*g(o) + 2*r(o).
-3*o
Let d(n) = -2*n**2 + 2*n + 1. Let j(l) = 6*l**2 - 7*l - 2. Let p(i) = 7*i**2 - 8*i - 2. Let t = 4 - 7. Let u(m) = t*j(m) + 2*p(m). Calculate -9*d(a) + 4*u(a).
2*a**2 + 2*a - 1
Suppose -4*i + o - 5 = -1, 6 = -5*i + o. Let z(l) = -21*l + 1. Let v(x) = 4*x. Determine i*z(j) - 11*v(j).
-2*j - 2
Let q(h) = h**2 + 3*h + 4. Let s be q(-3). Let c(j) = -5*j - 1. Let k(i) = 6*i + 1. Suppose 25 = -7*x + 12*x. What is s*k(n) + x*c(n)?
-n - 1
Let r(c) = 3*c**2 + 3*c. Let n = -78 + 80. Let m(u) = -u**2 - u + 1. Give n*m(k) + r(k).
k**2 + k + 2
Let p(f) = 3*f**3 + f. Let d(n) = -n**3. Suppose 4*o - o = 15. Determine o*d(b) + p(b).
-2*b**3 + b
Let r(l) = 2*l**2 - l - 5. Let n(t) = t**2 - 1. Calculate 4*n(o) - r(o).
2*o**2 + o + 1
Let f(v) = 7*v**3 - 56*v**2 - 56. Let m(g) = -g**2 - 1. Give -5*f(d) + 280*m(d).
-35*d**3
Let h(r) = r + 1. Let w = -4 + 8. Let z(x) = -2 - 4 - x + 0 + w. What is -5*h(q) - 3*z(q)?
-2*q + 1
Let v(j) = 3*j + 3. Suppose -b = -4, 2*m = -2*b - 0*b. Let z(u) = -u - 1. What is m*z(h) - v(h)?
h + 1
Let r(j) = -15*j**3 - 41. Let l(h) = -3*h**3 - 8. Determine -11*l(z) + 2*r(z).
3*z**3 + 6
Let h(r) = 4*r + 5. Let i(d) be the third derivative of -d**4/8 - 2*d**3/3 - 7*d**2. Calculate 5*h(x) + 6*i(x).
2*x + 1
Let x(r) = -r**3 + 9*r**2 + 16. Let h(t) = 2*t**2 + 4. Calculate -9*h(c) + 2*x(c).
-2*c**3 - 4
Suppose 0 = -t - 5, 25 = -7*n + 6*n - 5*t. Suppose -5*w - 2 = -r, n = -r + w + w + 2. Let z(c) = -c - 2. Let u(j) = 2*j + 2. What is r*u(b) + 3*z(b)?
b - 2
Let z(d) = 2*d - 5*d + 4*d. Let u(r) = -4*r - 1. Suppose 3*a + 20 = 2. Let x = 2 + -3. Give a*z(i) + x*u(i).
-2*i + 1
Let h(d) = 2*d**2 - 2*d. Let s be h(2). Let p(r) = s - 7 + 4 + 0. Let k(t) = -2*t - 2. Calculate k(m) - p(m).
-2*m - 3
Let d(n) be the second derivative of n**5/20 + n**4/6 + n**3/3 - n**2 - 10*n. Let k(h) = 0 + 27*h**2 + 28*h - 27 + 12*h**3 - h. Calculate -27*d(g) + 2*k(g).
-3*g**3
Let b(c) = -57*c + 5. Let p(d) = -28*d + 3. Give -3*b(a) + 5*p(a).
31*a
Let z(h) = -6*h**2 - 6*h - 5. Let j(a) be the third derivative of a**5/30 + a**4/12 + a**3/3 + 10*a**2. Let u(l) = l. Let v be u(3). Determine v*z(o) + 8*j(o).
-2*o**2 - 2*o + 1
Let m(a) = 3 + 323*a**3 + 4*a**2 - 2*a - 5 - 319*a**3 - 8*a**2. Let u(n) = -n**3 + n**2 + n. What is -m(d) - 2*u(d)?
-2*d**3 + 2*d**2 + 2
Let p(r) = -6*r + 4. Let q(m) = -5*m + 5. Give 5*p(u) - 4*q(u).
-10*u
Let i(o) = -3*o - 6. Let h(l) = -l. Calculate -5*h(r) + i(r).
2*r - 6
Let n(m) = 4*m**2 + 5*m + 1. Let b(o) = 7*o**2 + 10*o + 1. Calculate -3*b(k) + 5*n(k).
-k**2 - 5*k + 2
Let z(t) = -2*t**3 - 3*t**2 + 3*t - 3. Let f be 30/(-25)*(-3 - 38/(-6)). Let m(w) = -2*w**3 - 4*w**2 + 4*w - 4. Give f*z(u) + 3*m(u).
2*u**3
Let w(x) = -x - 1. Let k(q) = -15*q - 10. Give -3*k(g) + 30*w(g).
15*g
Let g(l) = 34*l - 6. Let t(k) = k - 1. Calculate g(v) - 6*t(v).
28*v
Let w(k) = -7*k**3 - 13. Let r(i) = -i**3 - i**2 - 3*i**2 - 2 + 4*i**2. Determine -39*r(l) + 6*w(l).
-3*l**3
Let u(o) = -2*o + 5. Let r = -5 + 11. Let y(g) = -3 - 3*g + r + 4. What is -7*u(n) + 5*y(n)?
-n
Let g(v) = v**3 + 2*v**2 + 4*v - 4. Let y(p) = p**3 + 2*p**2 + 5*p - 5. Calculate -5*g(h) + 4*y(h).
-h**3 - 2*h**2
Suppose -10 = -5*w + 4*i, 0 = -5*w + 3*i - 0*i + 5. Let s(l) = 5*l**2 + 5. Let q(m) be the second derivative of m**4/3 + 2*m**2 - 8*m. What is w*s(p) + 3*q(p)?
2*p**2 + 2
Let c(s) = -s. Let b(w) = 6*w - 1. Calculate 3*b(x) + 15*c(x).
3*x - 3
Let y(w) = -4*w**3 + 3*w**2 - 3*w - 4. Let u(p) = p**3 - p**2 + p + 1. What is 3*u(o) + y(o)?
-o**3 - 1
Let o(i) = -17*i**3 - 4*i - 4. Let m(q) = -646*q**3 - 153*q - 153. Determine 4*m(f) - 153*o(f).
17*f**3
Let c(w) = 6*w**2 + 5*w - 5. Let g(d) = 2*d**2 + d - 6. Let f(i) = -i**2 + 6. Let n(o) = -5*f(o) - 6*g(o). Give -6*c(m) - 5*n(m).
-m**2
Suppose 7*n - 10*n = 3. Let d(o) = 2 + 2 - 3 - o. Let l(k) = -k**3 - k + 2. Let r be (0 - 1)/((-2)/4). Calculate n*l(f) + r*d(f).
f**3 - f
Let i(n) = -7 + 5 + 0. Let t(c) = -c + 1. Give -2*i(x) - 3*t(x).
3*x + 1
Let j(r) = 184*r. Let o(g) = -g. Determine -2*j(v) - 322*o(v).
-46*v
Let m(v) = -7*v**2 - v - 6. Let d(r) = -r**2 + 1. Calculate 5*d(o) - m(o).
2*o**2 + o + 11
Let r(c) = -5*c**2 - 4. Let i(g) be the first derivative of g**2 - 5*g - 2*g**3 + 1 - g**2. Let s = 6 + -1. Calculate s*r(u) - 4*i(u).
-u**2
Suppose 2*o = -3*i - 7, -3*o - 4*i = 5 + 3. Let x(d) = -2*d**2 + d + 2. Let z(n) = -4*n**2 + 2*n + 4 - 2 + n**2. Give o*x(a) - 3*z(a).
a**2 - 2*a + 2
Let j(g) = -6*g**3 + 4*g**2 - 10. Let n(t) = -11*t**3 + 7*t**2 - 19. Calculate -7*j(v) + 4*n(v).
-2*v**3 - 6
Let f(c) = 2*c**2 + 4*c + 1. Let i(g) = -6*g**2 - 11*g - 4. What is 8*f(s) + 3*i(s)?
-2*s**2 - s - 4
Let x(q) = 5*q + 1. Let v(j) = 2*j. Let s(t) = 8*v(t) - 3*x(t). Suppose g - 13 = 7. Let y be (-6)/5*g/6. Let z(m) = -2*m + 4. Give y*s(i) - 3*z(i).
2*i
Let m(x) = -1. Let z(l) = 2*l - 6. Calculate -3*m(p) + z(p).
2*p - 3
Let v(n) = 29*n + 4. Let y(o) = -28*o - 3. Calculate -4*v(i) - 5*y(i).
24*i - 1
Let m be (-2 + 1)*-2*2. Let h(d) = 3*d**3 + 3*d**2 - 3*d - 3. Let i(u) = 3*u**3 + 4*u**2 - 4*u - 4. Calculate m*h(c) - 3*i(c).
3*c**3
Suppose 6*f + 45 = -3*f. Let i = 14 - 38. Let k(l) = 2*l + 5. Let d(a) = -9*a - 24. What is f*d(s) + i*k(s)?
-3*s
Let d(z) = 14*z**2 + 1. Let y(x) = 13*x**2. Determine -2*d(q) + 3*y(q).
11*q**2 - 2
Let w = -10 + 15. Suppose -5*c + c + 2*d + 14 = 0, -w*d = 2*c + 11. Let x(u) = u. Let f(n) = 0 - 6*n + 0 - n**2 + 8*n. Determine c*x(r) - f(r).
r**2
Let w(y) = 60*y**2 - 5. Let m(u) = -30*u**2 + 3. Calculate -5*m(l) - 3*w(l).
-30*l**2
Let t(q) = -3*q - 11. Let g(x) = -3*x - 10. Let s(w) = -4*g(w) + 3*t(w). Let o(l) = -4*l - 8. Give -5*o(z) - 6*s(z).
2*z - 2
Let h(k) = 74*k**3 + 11*k**2 + 11*k + 11. Let s(d) = 37*d**3 + 6*d**2 + 6*d + 6. Give 6*h(z) - 11*s(z).
37*z**3
Let u(x) = -x + 1. Suppose 0 = 29*c - 28*c - 4. Let k(w) be the second derivative of 3/2*w**2 + 0 - w - 1/6*w**3. Determine c*u(b) - 2*k(b).
-2*b - 2
Let t(z) = -z + 1. Let c(d) = d**2 - 7*d + 10. What is c(i) - 6*t(i)?
i**2 - i + 4
Let o(z) = -4*z + 5. Let x(f) = 3*f + 2. Let r(m) = -2*m - 1. Let p(k) = -5*r(k) - 3*x(k). Calculate 2*o(n) + 9*p(n).
n + 1
Let z(d) = 8*d. Let o(g) be the second derivative of -7*g**4/24 - g**2/2 - 2*g. Let k(h) be the first derivative of o(h). What is 7*k(y) + 6*z(y)?
-y
Suppose -16 = 5*a + 9, -4*a = -3*v + 35. Suppose -q = -2*q - 2. Let r(b) be the first derivative of -b**2 + 3*b + 1. Let z(s) = -4*s + 7. Give q*z(h) + v*r(h).
-2*h + 1
Let c(z) = 9*z + 6. Let b(q) = 2 - 1 + q + 2 - 2. Determine 6*b(m) - c(m).
-3*m
Suppose -7*r = r + 272. Let b(d) = d - 1. Let g(k) = -6*k + 6. Calculate r*b(q) - 6*g(q).
2*q - 2
Let g(j) = -2 + 3 + j - 2. Let l(z) = -z**2 + 4*z + 7. Let s be l(5). Let x be (1/s)/(2/(-4)). Let p(o) = o**3 + 3*o - 3. Calculate x*p(a) + 3*g(a).
-a**3
Let z(q) = -2*q - 2. Let r(j) = j + 1. Determine 3*r(t) + z(t).
t + 1
Suppose -6 = -2*m - 2. Let b(j) = 20*j**3 - 9*j**2 - 9*j - 9. Let a(v) = -5*v**3 + 2*v**2 + 2*v + 2. Determine m*b(l) + 9*a(l).
-5*l**3
Let k(s) = -5*s - 9. Let b(d) = -24*d - 45. What is 2*b(o) - 11*k(o)?
7*o + 9
Let l(o) = -3*o**3 + 7*o**2 + 2*o + 6. Let n(x) = -4*x**3 + 6*x**2 + 2*x + 5. Determine 6*l(u) - 7*n(u).
10*u**3 - 2*u + 1
Let v(m) = m**2. Let q be 21/(-4) + 13/52. Let z(w) = -4*w**2 - 2*w - 1. Calculate q*v(y) - z(y).
-y**2 + 2*y + 1
Let s(d) = -d - 1. Let o(m) = -m - 2. Let j(z) = o(z) - 2*s(z). Let h(x) = x**2 + 0*x**2 - x + 0*x**2. Let c = 5 - 4. Determine c*h(p) + j(p).
p**2
Let b(s) = -2*s + 3*s**2 - 6*s**2 + 8*s**3 - 4*s**3 + 2*s**2. Let g(a) = 3*a**2 + 7*a - 4*a - 7*a**3 - a**2. Calculate -5*b(n) - 3*g(n).
n**3 - n**2 + n
Let q(u) = 3*u - 5. Let i(m) = -m. Let p(z) = -6*z + 4. Let f(h) = 3*i(h) - p(h). Give -3*f(r) + 2*q(r).
-3*r + 2
Let g(a) = 6*a**3 - 6*a**2. Let z(t) = -2*t**3 + 5*t**2 - 3. Let b(f) = f**3 - 5*f**2 + 4. Let p(o) = 3*b(o) + 4*z(o). Determine -4*g(u) - 5*p(u).
u**3 - u**2
Let d(y) = 9*y**3 - 5*y. Let g(h) = -14*h**3 + 7*h. Calculate -7*d(t) - 5*g(t).
7*t**3
Let z(y) = y**2 - 3*y + 5. Let p(x) be the second derivative of x**4/12 - x**3/3 + 2*x**2 - 18*x + 1. What is -6*p(n)