b(j).
-2*j**3
Let n(p) = -8*p - 2. Let q(r) = -4*r - 1. Suppose 36 = -5*m + l, 2*m + 13 = -2*l + l. What is m*q(t) + 3*n(t)?
4*t + 1
Let u(v) = 7*v**2 - 7*v + 1. Let c(d) = -8*d**2 + 5*d - 1. What is 6*c(b) + 4*u(b)?
-20*b**2 + 2*b - 2
Let l(b) = -8*b**2 - 8. Let u(i) = -5*i**3 - 4*i**3 + i**2 - 8*i**3 + 16*i**3 + 1. Give l(o) + 8*u(o).
-8*o**3
Let r = 6 + -9. Let b(n) = -3*n + 22 - n - 15 - 2*n**2 + 0*n**2. Let z(a) = -a**2 - 2*a + 3. Calculate r*b(i) + 7*z(i).
-i**2 - 2*i
Let j(l) = -4*l**3 - l**2 - l + 2. Let i(r) = 5*r**3 + r**2 - 3. Calculate -3*i(d) - 4*j(d).
d**3 + d**2 + 4*d + 1
Let j(n) = -32*n**2 - 6*n - 1. Let i(q) = 10*q**2 + 2*q. What is -7*i(t) - 2*j(t)?
-6*t**2 - 2*t + 2
Let j(z) = -18042*z**2 - 1054*z - 527. Let m(t) = 205*t**2 + 12*t + 6. What is -6*j(s) - 527*m(s)?
217*s**2
Let l(g) = -3*g**2 - 5*g + 2. Suppose -5*f + 10*f = 0. Suppose f = -2*t + 7*t + 15. Let v(c) = c**3 + 5*c**2 + 9*c - 3. What is t*v(j) - 5*l(j)?
-3*j**3 - 2*j - 1
Let f(k) = -k + 2. Let x(q) be the first derivative of q**2/2 - 11. Let o(h) = f(h) + 2*x(h). Let j(r) = -r - 2. Let n be 2/4 - 13/2. Calculate n*o(i) - 7*j(i).
i + 2
Let n(c) = -171*c - 176*c + 3 - 3 + 22*c**2 + 353*c. Let m(u) = 7*u**2 + 2*u. Determine 7*m(k) - 2*n(k).
5*k**2 + 2*k
Let y(i) = -136*i. Let f(c) = 1. Calculate -2*f(n) + y(n).
-136*n - 2
Let n(v) be the second derivative of -v**5/20 + 2*v**2 - v + 16. Let i(w) = -3*w**3 + 11. Let y(x) = 5 - 6*x + 1 - 5. Let d be y(2). Determine d*n(t) + 4*i(t).
-t**3
Let f(p) = -9*p**2 + 11*p - 8. Let d = -1249 - -1255. Let q(b) = -26*b**2 + 32*b - 23. What is d*q(c) - 17*f(c)?
-3*c**2 + 5*c - 2
Let o(h) = -17 + 8 + 1 + h. Let u(z) = -2*z + 16. Calculate -5*o(p) - 3*u(p).
p - 8
Let p(s) = 246*s**3 - 2*s**2 + 3. Let h(m) = -248*m**3 + 3*m**2 - 4. Calculate 3*h(v) + 4*p(v).
240*v**3 + v**2
Let j(q) = 10*q**2 - 2*q - 4. Let l(n) = 11*n**2 - 3*n - 5. Suppose 2335*y - 2342*y = 14. Give y*l(d) + 3*j(d).
8*d**2 - 2
Let w(n) = -2*n**2 - n - 1. Let h(l) = 13*l**2 + 2*l - 5. What is -h(q) + 5*w(q)?
-23*q**2 - 7*q
Let a(x) = x**2 - 3. Let l(s) = -3*s**2 + s + 7. Let v = -852 - -855. Calculate v*l(p) + 7*a(p).
-2*p**2 + 3*p
Suppose -h = -2, 3*h + 16 = 4*s + h. Let c(t) = -177*t - t**2 + 177*t. Let i(k) = -k**3 + 5*k**2 + k + 2. Give s*c(v) + i(v).
-v**3 + v + 2
Let j(f) = -3*f - 64. Let b(l) = l + 28. Let r(p) = 5*b(p) + 2*j(p). Let q(v) = v - 13. Calculate -3*q(a) - 4*r(a).
a - 9
Let x(f) = 3*f**2 + 122*f - 32. Let b(p) = 6. What is 5*b(u) + x(u)?
3*u**2 + 122*u - 2
Let t(g) = -4. Let a(d) be the third derivative of d**4/24 - 13*d**3/6 - d**2 + 31*d. Let r = -61 - -68. Give r*t(k) - 2*a(k).
-2*k - 2
Let r(p) = 9*p**2 - 5*p. Suppose -m + 3*j = 0, 2*m + 6 = -m + 3*j. Let y(v) = -3*v**2 + 2*v. What is m*r(a) - 8*y(a)?
-3*a**2 - a
Let z(n) = -13*n + 7. Let j be (0 + 4)*(-25)/4. Let p be (-4)/((-5)/j - 1). Let h(g) = 6*g - 3. Calculate p*h(u) + 2*z(u).
4*u - 1
Let r(d) = -250*d**3 - 1500*d**2 + 500*d + 500. Let p(t) = -3*t**2 + t + 1. Determine 1500*p(k) - 3*r(k).
750*k**3
Let i(y) = 415*y + 6. Let v(z) = -488040*z - 7055. Give -7055*i(j) - 6*v(j).
415*j
Suppose 4*b - w - 87 = 0, 0*b = 4*b + 3*w - 91. Let t(m) be the second derivative of -2 + 7/6*m**3 + 2*m + 11/2*m**2. Let r(y) = 2*y + 3. Give b*r(a) - 6*t(a).
2*a
Let r(z) = -z**2 - z + 2. Let d(b) = 5*b**2 - 4*b - 13. Give -d(p) - 4*r(p).
-p**2 + 8*p + 5
Let a(c) = 3*c**2 - 3*c. Let z(u) = 3*u**2 + 13*u. Let l(y) = -y**2 - 5*y. Let b(o) = -8*l(o) - 3*z(o). Give a(x) + 2*b(x).
x**2 - x
Let b(p) = -2*p**2 + 8*p - 24. Suppose 5*k + 4*i + 9 + 2 = 0, 0 = -2*i + 2. Let o(x) = x**2 - 3*x + 8. What is k*b(g) - 8*o(g)?
-2*g**2 + 8
Let p(t) = 3*t**2 - 5*t + 6. Let u(r) = r. Let z(f) = -2*f - 1. Let x(m) = -3*u(m) - z(m). Suppose -v - 2*o - 3 + 0 = 0, -4*o - 11 = -3*v. Give v*p(n) - 5*x(n).
3*n**2 + 1
Let h(y) be the second derivative of -5*y**4/3 - y**3 - 318*y. Let w(a) = 20*a**2 + 7*a. What is -7*h(n) - 6*w(n)?
20*n**2
Let r(g) = g - 3. Let y(o) = -o**2 + 5*o + 5. Let q be y(5). Let x(f) = q + f - 4*f + f. Give 5*r(b) + 3*x(b).
-b
Let f(o) = -o - 3. Let u be (-3)/(6/(-4)) - -3. Suppose 0 = l + 3*l - 12. Let y(h) = 3*h + 5. What is l*y(s) + u*f(s)?
4*s
Let c(i) = 3*i**2 - 4*i - 4. Let r(o) = 4*o**2 - 4*o - 5. Calculate -3*c(q) + 2*r(q).
-q**2 + 4*q + 2
Let r = -59 + 63. Let l(h) = 2*h**3 + 2*h**2 - 5*h. Let p(c) be the second derivative of -c**5/20 - c**4/6 + 2*c**3/3 - 8*c. Calculate r*p(k) + 3*l(k).
2*k**3 - 2*k**2 + k
Let d(y) = y**2 + 2*y + 1. Suppose 3*k - 2*r + 10 = -k, 8 = k + 3*r. Let o(s) = -15 + 31 + s**2 - 15. Give k*d(i) + 3*o(i).
2*i**2 - 2*i + 2
Let x(z) = 4*z. Let y(i) = -27*i - i + 10*i + 10*i. What is 11*x(k) + 6*y(k)?
-4*k
Let q(j) = 19*j**2 + 5. Let s(p) = 9*p**2 + 3. Determine -3*q(t) + 5*s(t).
-12*t**2
Let l(i) = -3*i - 3. Let w(z) = 14*z + 16. Let v(d) = -7*d + 72. Let o be v(10). Give o*w(j) + 11*l(j).
-5*j - 1
Let c(r) = 4*r**3. Let y(h) = -8*h**3 + 15*h**3 - 177 + 352 - 175. Give -5*c(u) + 2*y(u).
-6*u**3
Let q(f) = -f - 2. Let h(k) = k - 1. Let m(t) = -6*t**2 + 5*t - 1. Let r be m(1). Give r*h(p) - q(p).
-p + 4
Let j(s) = 7*s**3 + 5*s**2 - 650*s - 15. Let m(p) = 6*p**3 + 4*p**2 - 649*p - 12. Determine -4*j(h) + 5*m(h).
2*h**3 - 645*h
Let y(n) = 4*n**3 - 3*n. Suppose 535*i = 531*i - 16. Let d(l) = 3*l**3 - 2*l. Determine i*y(q) + 6*d(q).
2*q**3
Let o(f) = 6*f + 2. Let l(y) = -7*y - 2. Suppose -2*q - 5 + 11 = 0. Let c = 0 + q. Let p = -8 + c. Determine p*o(j) - 4*l(j).
-2*j - 2
Let b(l) = -105*l**3 + 16*l**2 + 4*l - 1. Let a(w) = -104*w**3 + 12*w**2 + 3*w - 1. Determine 4*a(k) - 3*b(k).
-101*k**3 - 1
Let d(n) = n**2 + n + 1. Let i(r) = 2*r**2 - 3*r - 3. Suppose 2*x + c - 3*c = 8, -3*x + 4*c = -17. Determine x*i(f) - 3*d(f).
-5*f**2
Let r(a) = -3*a - 5. Let c(g) = -7*g - 11. Let w = 741 - 732. Give w*r(i) - 4*c(i).
i - 1
Let f(p) = -139*p**2 - 5*p - 7. Let r(m) = m**2 + m + 1. Give f(s) + 6*r(s).
-133*s**2 + s - 1
Let s(o) = 2*o**2 + 2. Let y(x) = -6*x**2 - 6. Let l = 22 - 16. Suppose -11*r + 1000 = -l*r. Let g be (-6)/21 - r/35. Determine g*y(f) - 17*s(f).
2*f**2 + 2
Let o(a) = -a**3 - 1. Let w(l) = -l**3 - 2*l**2 + 1. Let v(d) = -2*d**3 + 4*d**2 - 4. Let b(t) = 7*v(t) + 14*w(t). Determine b(c) - 14*o(c).
-14*c**3
Let w(l) = 1. Let t(r) = 32*r**2 + 5 - 2*r - 30*r**2 + 0*r + 3*r. Determine t(o) - 6*w(o).
2*o**2 + o - 1
Let v(l) = l + 259. Let k(m) = -2*m - 519. Give 6*k(o) + 13*v(o).
o + 253
Let o(v) = 21*v**2. Let i(x) be the second derivative of -x**4/12 + 4*x + 1. What is -119*i(z) - 6*o(z)?
-7*z**2
Let s(t) = -27*t - 2. Let o(y) = -4*y. What is -28*o(x) + 4*s(x)?
4*x - 8
Let c(p) be the first derivative of 1/2*p**2 - 14 + 0*p. Let u(w) = -3*w + 1. What is -2*c(g) - u(g)?
g - 1
Let i(y) = -11*y - 4. Let k(d) = -6 - 16 - 1 + 6 + 6 - 32*d. Calculate -11*i(r) + 4*k(r).
-7*r
Suppose -5*h - 35 = 14*q - 19*q, 32 = -5*h + 4*q. Let w(n) = -n**2 - 5. Let f(g) = -g**2 - 4. Determine h*w(s) + 5*f(s).
-s**2
Let o(d) = -66*d - 27. Let w(b) = 18*b**2 - 4*b**2 + b**3 - 13 + 3*b - 2*b. Let p be w(-14). Let m(a) = 5*a + 2. Determine p*m(h) - 2*o(h).
-3*h
Let v(h) = 3*h - 273 + 275 - 4*h**2 - h + 0*h. Let d(a) = a**2 - a - 1. Suppose -25*f + 20*f - 10 = 0. Calculate f*d(o) - v(o).
2*o**2
Let y(q) be the second derivative of q**5/20 - q**2/2 + 78*q + 2. Let r(a) = a + 3. Calculate -r(l) - 2*y(l).
-2*l**3 - l - 1
Let n(q) = q + 7. Let l(b) be the first derivative of b**4/24 + 2*b**3/3 - b**2 + 6. Let g(c) be the second derivative of l(c). Give -7*g(r) + 4*n(r).
-3*r
Let l(u) = -5*u**3 + 3*u**2 + 5*u. Let p(x) = 11*x**3 - 7*x**2 - 11*x. Suppose -4*t + 5*o = -7*t + 11, -t = 4*o + 1. Determine t*l(v) + 3*p(v).
-2*v**3 + 2*v
Let p(z) be the first derivative of -3*z**2 + z - 11. Let s(c) = 11*c - 1. Calculate 7*p(d) + 4*s(d).
2*d + 3
Suppose 0*r + 4*h = 4*r, 3*r = 2*h. Suppose 0*u + 4*y + 18 = u, 21 = 4*u + y. Let w(f) = u + r + 5*f - 7. Let b(s) = -4*s + 1. Give 7*b(j) + 6*w(j).
2*j + 1
Let t(g) = -12*g**3 - 7*g**2 - 9*g - 7. Let c(q) = -6*q**3 - 4 - 36*q - 13*q**2 + 31*q + 9*q**2. Give 7*c(o) - 4*t(o).
6*o**3 + o
Suppose 5*n = 8162 - 8197. Let c(z) be the third derivative of 5*z**4/24 + z**3 + 2*z**2. Let w(a) = 5*a + 7. What is n*c(t) + 6*w(t)?
-5*t
Let f(s) = -s**2 - s + 1. Let u(t) be the third derivative of -