 27. Let j be y(20). What is j*s(g) + 6*q(g)?
-2*g**2 + 5
Let j(q) = q**3. Suppose -228*u + 234*u = 12. Let h(w) = -1 + 1 + w**2. Determine u*h(f) + j(f).
f**3 + 2*f**2
Let k(z) = -z**2 - 2*z - 20. Let b(a) = a**2 - a + 1. Determine -5*b(f) + k(f).
-6*f**2 + 3*f - 25
Let r(t) = -t**3 - t**2 + t - 1. Let m(g) = 5*g**3 + 3*g**2 + 5*g - 5. Calculate m(j) - 5*r(j).
10*j**3 + 8*j**2
Let m(g) = -64*g**2 + g - 4. Let a(o) = -128*o**2 + 2*o - 9. Give -4*a(p) + 9*m(p).
-64*p**2 + p
Let h(y) be the second derivative of 5*y**4/4 + 13*y**3/6 - 11*y**2/2 + 64*y. Let x(p) = -8*p**2 - 7*p + 6. Give -6*h(a) - 11*x(a).
-2*a**2 - a
Let d(z) = z**3 - z**2 - 1. Let w(t) be the second derivative of -3*t**5/10 + t**4/3 + t**3/3 + 3*t**2 - 12*t. Determine -4*d(f) - w(f).
2*f**3 - 2*f - 2
Let v(u) be the third derivative of -17*u**5/60 + 11*u**4/24 - 68*u**2. Let o(j) = -6*j**2 + 4*j. Calculate -8*o(t) + 3*v(t).
-3*t**2 + t
Let d(z) = -229*z**3 - 3*z**2 - 9*z - 4. Let x(g) = 343*g**3 + 5*g**2 + 14*g + 6. Determine 8*d(t) + 5*x(t).
-117*t**3 + t**2 - 2*t - 2
Let g(l) = 10*l**2 + 41*l. Let x(b) = -7*b**2 - 40*b - 1. Determine 2*g(i) + 3*x(i).
-i**2 - 38*i - 3
Let j(a) = 2*a**2 + 2. Let r(i) = -4*i**2 - i - 4. Let l = 368 + -364. Give l*r(v) + 9*j(v).
2*v**2 - 4*v + 2
Let d(k) be the third derivative of -k**6/40 + k**4/4 + 2*k**3/3 - 11*k**2 - 5*k. Let m(h) = 8*h**3 - 17*h - 12. Determine 11*d(i) + 4*m(i).
-i**3 - 2*i - 4
Let b(v) = -v**2 + 1. Let o be (-5)/15 - 12/18. Let y(z) = z**3 + 3*z**2 + 1. Determine o*b(m) + y(m).
m**3 + 4*m**2
Let z(k) = 522*k**3 + 8*k**2 - 22*k + 22. Let y(s) = -75*s**3 - s**2 + 3*s - 3. Give 22*y(l) + 3*z(l).
-84*l**3 + 2*l**2
Let v(s) = -7*s**2 - 30*s + 5. Let t(o) = 15*o**2 + 59*o - 11. Determine 6*t(a) + 13*v(a).
-a**2 - 36*a - 1
Let s(q) = 2*q. Suppose -585*i = -575*i + 110. Let m(z) = 4*z. What is i*s(o) + 6*m(o)?
2*o
Let j(f) be the second derivative of f**4/12 - f**3/6 + f**2/2 + 3*f + 32. Let d(o) = 5*o**3 + 4*o**2 - 4*o + 4. Give -d(v) + 4*j(v).
-5*v**3
Let y(v) = 28*v - 20. Let p(r) = -r + 1. Let k be -3 - (-1*(7 + -3) - -2). Calculate k*y(s) - 20*p(s).
-8*s
Let o(t) = -524*t**3 - 3*t**2 - t + 1. Let l(g) = -g**3 - 3*g**2 - g + 1. Determine -l(r) + o(r).
-523*r**3
Let p(j) = 163*j**3 - 5*j**2 + 5. Let s(o) = -245*o**3 + 8*o**2 - 8. Calculate -8*p(c) - 5*s(c).
-79*c**3
Let s(z) = -6 - 13*z - 6 + 5 + 5 + 4. Let k(i) = 19*i - 3. Give 5*k(n) + 7*s(n).
4*n - 1
Let a(l) = -56*l + 57*l - 7 + 7. Let t(f) = -6*f. Let n(b) = -b**3 + 2*b**2 + 3*b + 2. Let s be n(3). Calculate s*t(o) + 14*a(o).
2*o
Let i(w) = -7*w - 13. Let j(h) = 4*h + 7. Suppose 172 = -3*g - 4*k, 5*k - 12 = -32. Let t = 46 + g. Calculate t*i(q) - 11*j(q).
-2*q + 1
Let k(z) = z**3 - 6*z**2 - 11*z + 6. Let r = -6 - 0. Let a(p) = 2*p**3 - 13*p**2 - 23*p + 13. Determine r*a(w) + 13*k(w).
w**3 - 5*w
Suppose -3*i - 5*f = -8*i + 55, 3*i - 2*f - 33 = 0. Let p(r) = 11*r + 1. Let x(n) = 8*n - 5*n - 24*n - 2 + 0*n. What is i*p(o) + 6*x(o)?
-5*o - 1
Let x(l) = 2*l - 2. Let s be (15 - 15)*1/(-3). Let k be (0 + 3)*((-7)/(-3) - s). Let h(r) = r - 1. Calculate k*h(m) - 3*x(m).
m - 1
Suppose -1 + 10 = -3*h. Let m(g) = -2*g**3 + 2*g**2 - g + 3. Let q = 645 + -640. Let d(u) = -3*u**3 + 4*u**2 - u + 5. Calculate h*d(j) + q*m(j).
-j**3 - 2*j**2 - 2*j
Let v(c) = -2*c - 5. Suppose 18 = -349*a + 331*a. Let b(y) = y. Determine a*v(i) - 4*b(i).
-2*i + 5
Let p(d) = -3*d**2 + 4*d + 2. Let h(f) = -2*f**2 + 3*f + 1. Suppose -7*z = 2668 - 2647. Calculate z*p(t) + 4*h(t).
t**2 - 2
Let a(d) = 2*d + 4. Let n(z) = -2*z - 5. Let y(k) = 4*k**2 - 4*k + 5. Let r be y(-3). Let s = r + -82. Let b = -31 - s. Give b*n(f) - 3*a(f).
-2*f - 2
Let a(t) = -3*t**3 + t**2 - 6*t + 2. Let i(o) = -6*o**3 + 2*o**2 - 13*o + 5. What is -5*a(f) + 2*i(f)?
3*f**3 - f**2 + 4*f
Let y(a) = -10. Let k(p) = -7. Let f(j) = -7*k(j) + 5*y(j). Suppose 20 + 15 = 35*z. Let t(v) = 4*v - 1. Calculate z*t(c) - f(c).
4*c
Let p(y) = -5 - 3*y - 5*y**2 + 8 + 0*y. Let k(f) = -5*f**2 - 4*f + 4. Calculate -5*k(o) + 6*p(o).
-5*o**2 + 2*o - 2
Let o(a) = -a**3 - 2*a**2 + 2. Suppose 13 - 1 = -4*j. Let g be (-4)/j*12/8. Let l be (2 + 0)*(-11)/g. Let b(m) = 4*m**3 + 11*m**2 - 11. Give l*o(d) - 2*b(d).
3*d**3
Let v(w) = 2*w - 1. Let q be 458/(-14) + (-8)/28. Let x = 49 + q. Let y be (x/20)/(4/30). Let s(k) = -2*k + 1. Calculate y*s(z) + 5*v(z).
-2*z + 1
Let o(m) = -18 + m + 17 + 0*m. Let g(d) = 14*d + 2. Let x(w) = -2*g(w) + 6*o(w). Let n(l) = -7*l - 3. Give 10*n(u) - 3*x(u).
-4*u
Suppose 5*i = -3*k - 1, 0 = -2*i - 6*k + 5*k. Let w be i*(-2 - 4/(-4)). Let z(v) = -v**2. Let q(d) = -6*d**2 + 2*d - 2. Calculate w*q(a) + 4*z(a).
2*a**2 - 2*a + 2
Let j(o) = 5*o**2 + 9*o + 9. Suppose 0 = 2*c + c. Let h be 1*(c - -1) - 3. Let y(l) = -2*l + 5804*l**2 - 5805*l**2 - 15 + 13. What is h*j(r) - 9*y(r)?
-r**2
Let i = -369 - -363. Let u(b) = 7*b - 7. Let s(f) = 8*f - 7. What is i*s(v) + 7*u(v)?
v - 7
Let s be 5*2/10*1. Let c(x) = x**3 - x - 1. Let a(t) = -12*t - 41*t**3 + 56*t**3 - 13 + 1. Give s*a(j) - 12*c(j).
3*j**3
Let h = -6066 - -6071. Let o(z) = z**2 + z + 1. Let v(q) be the first derivative of 2*q**3/3 + q**2/2 + q - 1. Determine h*o(s) - 4*v(s).
-3*s**2 + s + 1
Let m(y) be the third derivative of -y**6/30 + y**4/12 + 4*y**2 - 2. Let s(k) = -k**2 - k. Calculate -m(a) - 2*s(a).
4*a**3 + 2*a**2
Let n(a) = -6*a**2 + 19*a**2 - 2 - 11*a**2. Let y(q) = -2*q**2 + 1. Suppose 5*f - 9 = f - 3*j, -4*f - 2*j + 10 = 0. What is f*y(u) + 2*n(u)?
-2*u**2 - 1
Let m(s) = -4*s**3 + 2*s**2 - 3*s. Let p(f) = 3*f**3 - f**2 + 2*f. Suppose 0 = 136*n - 143*n - 21. Suppose 12 = -4*g + 4. Give g*m(w) + n*p(w).
-w**3 - w**2
Let l(f) = 109*f**3 + 3*f**2 - 2*f + 3. Let s(o) = -72*o**3 - 2*o**2 + o - 2. Calculate 5*l(i) + 7*s(i).
41*i**3 + i**2 - 3*i + 1
Let w(i) = -3*i + 9. Let b(d) = -9*d + 25. What is -4*b(m) + 11*w(m)?
3*m - 1
Let q(a) = 12*a**2 - 2*a. Let v(k) = -25*k**2 + 5*k. Suppose 5*d - 5*o + 25 = 0, 12*o = -5*d + 10*o - 25. What is d*q(p) - 2*v(p)?
-10*p**2
Let b(y) = -155*y**3 + 85*y**2. Suppose -19 - 11 = -5*s. Let u(p) = 11*p**3 - 6*p**2. Calculate s*b(t) + 85*u(t).
5*t**3
Let q(n) = -6*n - 7. Let u(y) = 10*y + 7. Let l(m) = -3*m - 2. Let z(o) = -3*l(o) - u(o). Calculate q(t) - 4*z(t).
-2*t - 3
Let y(k) = -42*k**3 + 27*k**2 - 48*k + 6. Let h(x) = -6*x**3 + 4*x**2 - 7*x + 1. What is -27*h(a) + 4*y(a)?
-6*a**3 - 3*a - 3
Let z(n) = 39*n + 18. Let d be 68/16 + ((-9)/(-12))/(-3). Suppose -d*o - s = 13 + 8, 5*o + 4*s = -29. Let g(l) = 5*l - 1 + 6*l + 6. Determine o*z(c) + 18*g(c).
3*c
Let k(o) = -o**2 + 39*o - 112. Let u be k(3). Let l(v) = 7*v**3 - 3*v**2 - 3*v - 5. Let q(j) = 6*j**3 - 3*j**2 - 2*j - 4. What is u*l(n) + 5*q(n)?
2*n**3 - 3*n**2 + 2*n
Let n(q) = 2*q + 2. Let g(m) = -1. Let c(v) = -5*g(v) - n(v). Let t be (-14)/18 - 32/144 - -6. Let y(k) = 4*k - 5. Determine t*c(f) + 3*y(f).
2*f
Let h(s) = s**2 - 1. Suppose 0 = 5*q - 2*j - 22, -2*j + 6*j + 8 = q. Let k(i) = 9*i**2 - 7. Give q*k(l) - 28*h(l).
8*l**2
Let g(a) = 3*a**2 - 6*a + 5. Let k(w) be the third derivative of w**5/15 - 7*w**4/24 + w**3 - 310*w**2. Give 7*g(d) - 6*k(d).
-3*d**2 - 1
Let f(w) = -w**3 + 7*w**2 + 6. Let q(v) = -34*v**3 + 15*v**2 + 32*v**3 + 16*v + 13 - 16*v. Suppose -52 = 3*j + j. Determine j*f(b) + 6*q(b).
b**3 - b**2
Let z(b) = -17*b**3 + 18*b**2 - 12*b - 8. Let q(l) = -17*l**3 + 18*l**2 - 15*l - 10. What is 4*q(m) - 5*z(m)?
17*m**3 - 18*m**2
Let y(w) = -8*w - 22. Let f(x) = -x + 2. Determine -12*f(z) - y(z).
20*z - 2
Let x(s) = -199 + 0*s**2 - 2*s**2 + 197. Let t(w) = -4*w**2 - 5. Determine 2*t(p) - 5*x(p).
2*p**2
Let f(n) = -3*n + 4*n - 9*n**2 + 8*n - 3*n**3. Let m(o) = 2*o**3 + 5*o**2 - 5*o. Give 5*f(k) + 9*m(k).
3*k**3
Let g be -1*(-2)/(-2)*(-15 + 26). Let s(a) be the third derivative of 13*a**4/24 + 3*a**3/2 - a**2. Let y(k) = 3 + 4 + 7*k - 2 + 0. What is g*y(f) + 6*s(f)?
f - 1
Let x(g) = 0*g + g + 109 + 10*g**2 - 103. Let c(f) be the first derivative of -3*f**3 - f**2/2 - 5*f + 5. Give -7*c(p) - 6*x(p).
3*p**2 + p - 1
Let p(x) = x - 1. Let u(t) = -27*t + 6. Calculate 4*p(j) + u(j).
-23*j + 2
Let a(k) = 1 - 21 - 1 + k + 6 + 4 + 61*k**2. Let b(z) = -12*z**2 + 2. Give 2*a(t) + 11*b(t).
-10*t**2 + 2*t
Let s(a) = 61*a**3 - 4*a**2 - 4. Let i(o) = 121*o**3 - 7*o**2 - 7. Calculate 4*i(q) - 7*s(q).
57*q**3