 4. What is 5*g(k) - 4*u(k)?
15*k
Let m(v) = 173*v**2 - 519*v + 1038. Let u(l) = -l + 2. Calculate m(x) - 519*u(x).
173*x**2
Let l(p) = 4*p**2 - 23*p - 5. Let y(v) = 5*v**2 - 22*v - 6. Determine -4*l(j) + 3*y(j).
-j**2 + 26*j + 2
Let p(i) = -2*i + 3. Let q(x) = 7*x - 11. Let u be -5 - (-737)/143 - 228/(-39). Calculate u*q(z) + 22*p(z).
-2*z
Let c(z) = 0 - 66*z - 8 + 71*z. Let a(u) = 2*u - 3. Calculate 8*a(j) - 3*c(j).
j
Let s(t) = -4*t - 1. Let f(z) = 5*z + 1. Let w = 12 - 14. Let m = w - -5. Suppose 3*l - m = 2*l. What is l*s(c) + 2*f(c)?
-2*c - 1
Let i(a) = 5*a**3 + 6*a**2 + 3. Let k(n) = 13*n**3 + 17*n**2 + 9. Give -8*i(w) + 3*k(w).
-w**3 + 3*w**2 + 3
Let t(o) = -36*o + 7. Let i(r) = -7*r + 1. Give 11*i(a) - 2*t(a).
-5*a - 3
Let b(l) = -90*l**2 + 5*l + 4. Let w(t) = 180*t**2 - 11*t - 9. What is -9*b(k) - 4*w(k)?
90*k**2 - k
Let z(y) = -10*y**2 + 5*y + 5. Let j(f) = 11*f**2 - 4*f - 3. Let h(d) = -5*j(d) - 4*z(d). Let k(q) = -q**2 - 1. Give -h(m) + 5*k(m).
10*m**2
Let c(a) = a + 1. Let u(j) = 10*j + 13. Determine -5*c(z) + u(z).
5*z + 8
Let n(z) = 3*z**2 + 8*z + 1. Let c(i) = i**2 - i. Calculate 5*c(q) + n(q).
8*q**2 + 3*q + 1
Let x be 30/(-12) + 2 + 56/(-16). Let d(u) = 8*u**3 - 4*u**2 + 5*u - 4. Let v(a) = a**2 - a + 1. What is x*v(t) - d(t)?
-8*t**3 - t
Let h = -1061 - -1063. Let k(t) be the first derivative of -2 + 1/3*t**3 + 0*t**h + 0*t - t**4. Let m(g) = 21*g**3 - 5*g**2. Calculate -11*k(c) - 2*m(c).
2*c**3 - c**2
Let s(r) be the first derivative of 4*r**2 + 3/4*r**4 + 0*r**3 - 2 - 8*r. Let k(w) = w**3 + 3*w - 3. Determine 8*k(m) - 3*s(m).
-m**3
Let y(k) = -3*k**3 + 27*k**2 - 4*k - 47. Let f(h) = 5*h**3 - 48*h**2 + 7*h + 95. Determine -4*f(c) - 7*y(c).
c**3 + 3*c**2 - 51
Let x(i) = 6*i - 205. Let s(q) = 7*q - 207. Give -5*s(k) + 6*x(k).
k - 195
Let u(s) = 4384*s - 8760*s + 4392*s + 16. Let k(f) = 11*f + 11. Calculate 7*k(i) - 5*u(i).
-3*i - 3
Let q(k) = -k + 18. Let f(w) = -w + 6. Give -7*f(b) + 2*q(b).
5*b - 6
Let i(x) = 10*x - 10. Let t be (1 + (-22)/18)/(19/(-171)). Suppose l + 3 + 5 = y, -26 = -4*y - t*l. Let m(h) = -3*h + 3. Determine y*m(b) + 2*i(b).
-b + 1
Let p(y) = -14*y**3 + 10*y**2 + 7*y + 8. Let o(r) = -9*r**3 + 7*r**2 + 5*r + 5. Give -8*o(l) + 5*p(l).
2*l**3 - 6*l**2 - 5*l
Let i(j) = 2*j - 5. Let y(o) = -5 + 2 - 4 - 9 + 6*o. Suppose 3*w = 10 + 5. What is w*y(d) - 16*i(d)?
-2*d
Let u(a) = -6*a**3 + 2*a - 1. Let s be u(1). Let c be (-70)/(-8) + s/(-20). Let t(r) = -5*r - 2. Let j = 2 + -6. Let z(n) = -2*n - 1. What is c*z(g) + j*t(g)?
2*g - 1
Let i(x) = 45*x. Let d(y) = -y. What is 12*d(j) - i(j)?
-57*j
Let o(w) = 7*w**2 - 4*w + 1. Let v(p) = 20*p**2 - 11*p + 2. Let a be -8*(18/(-45) + (-12)/20). Give a*o(d) - 3*v(d).
-4*d**2 + d + 2
Let b = 19 + -17. Let h(v) = 55 - 54 - v**3 + b*v**3 - v. Let x(u) = -4*u**3 + u**2 + 3*u - 5. Determine 5*h(f) + x(f).
f**3 + f**2 - 2*f
Let c(k) = 9*k + 4*k + 14 - 5. Let a(y) = -y**3 - 2*y**2 - y - 3. Let f be a(-3). Let w be 56/(-784) - 58/(-28). Let d(h) = -3*h - 2. Give f*d(l) + w*c(l).
-l
Let n(j) = 21*j + 2. Let t(f) = 24*f + 1. Let u(m) = -6*n(m) + 5*t(m). Let y(r) = -5*r - 6. Determine 3*u(o) - 4*y(o).
2*o + 3
Suppose 2 = 5*j - 3*z, -3*j = 6*z - 3*z - 6. Let i(w) = -2*w**2 - 3*w + 5. Let u(k) be the second derivative of -k**2/2 + k. Give j*i(y) + 3*u(y).
-2*y**2 - 3*y + 2
Let l(p) = 35*p**2 + 8*p - 4. Let b(o) = -70*o**2 - 17*o + 9. Calculate 6*b(v) + 13*l(v).
35*v**2 + 2*v + 2
Let w(p) = 9*p + 1. Let a(j) = -1008*j - 144. Give 3*a(h) + 432*w(h).
864*h
Let y(m) = -5*m + 2. Let r(t) = -14*t + 5. Suppose -12 = 4*q - 28. Let l(h) = q*r(h) - 11*y(h). Let i(n) = -2*n - 3. Give -3*i(f) + 5*l(f).
f - 1
Let h(n) = -176*n**3 - n**2 - 3*n. Let q(t) = -177*t**3 - t**2 - 2*t. What is 2*h(k) - 3*q(k)?
179*k**3 + k**2
Let t(y) = -5*y**3 + 5*y**2. Let m(k) = k + 3. Suppose 2*s - s - p = -12, s + 20 = 5*p. Let x be m(s). Let n(f) = -8*f**3 + 7*f**2. What is x*t(v) + 5*n(v)?
-5*v**3
Let q(u) = -289*u**2 - 3*u - 4. Let t(d) = -d**2 + d + 1. Determine q(w) + 4*t(w).
-293*w**2 + w
Let r(l) = -27*l - 11. Let f(v) = 4*v + 5*v - 10425 + 10429. Calculate -8*f(m) - 3*r(m).
9*m + 1
Let y(h) = -14*h**2 - 59*h. Let v(q) = -3*q**2 - 12*q. Give -11*v(u) + 2*y(u).
5*u**2 + 14*u
Let r(j) = 35*j - 115. Let l(g) = -16*g + 57. What is 13*l(v) + 6*r(v)?
2*v + 51
Let f(b) = -b + 7. Let z(s) = s - 4. Suppose -128*t - 72 = -146*t. Give t*f(d) + 7*z(d).
3*d
Let a(c) = -3*c**2 - 5*c + 5. Let w(l) = -l**2 - 2*l + 2. Suppose -4*v - 25 = 7. Let s be 336/34 - (-8)/68. Let u = s + v. Calculate u*a(x) - 5*w(x).
-x**2
Let j(z) be the first derivative of 17*z**4/2 + 5*z**3/3 + 5*z**2/2 - 146. Let b(u) = 17*u**3 + 2*u**2 + 2*u. Determine -5*b(i) + 2*j(i).
-17*i**3
Let c(s) be the second derivative of s**4/6 + 13*s**3/6 + s**2/2 - 170*s. Let y(f) = f**2 + 6*f + 1. Determine 4*c(w) - 9*y(w).
-w**2 - 2*w - 5
Let q(a) = -17550*a - 325. Let f(t) = -325*t - 6. What is 325*f(o) - 6*q(o)?
-325*o
Let p(b) = b - 1. Suppose 4*a = -4*k + 4, 0 = k - 3*k - 5*a - 13. Let r(z) be the second derivative of -5*z**3/6 + 2*z**2 - 14*z. Calculate k*p(j) + r(j).
j - 2
Let x(n) = 20*n**2 - 27*n. Let f(j) = -6*j**2 + 8*j. Let h(u) = -14*f(u) - 4*x(u). Let g(y) = -13*y**2 + 13*y - 1. What is -2*g(w) - 7*h(w)?
-2*w**2 + 2*w + 2
Let q(c) be the second derivative of c**3/6 + 5*c**2 + 6*c + 8. Let h(z) = -2*z - 21. Give 6*h(t) + 13*q(t).
t + 4
Let v(q) = 4*q**3 - 12*q + 12. Let s(a) = a - 1. Suppose -3*z - 3*n - 5 - 4 = 0, n + 6 = 2*z. Calculate z*v(u) + 12*s(u).
4*u**3
Let r(f) = 11*f**3 + 2*f**2 - 8*f - 3. Let v(g) = 7*g**3 + g**2 - 5*g - 2. Let u = -693 - -688. Determine u*r(x) + 8*v(x).
x**3 - 2*x**2 - 1
Let p(s) = -s + 3. Let g(a) = -966*a - 828. Give -g(u) - 276*p(u).
1242*u
Let p(w) = 372*w**3 - 371*w**3 - 50*w + 1 - w**2 + 51*w. Let s(f) = 7*f**3 - 5*f**2 + 3*f + 10. Give 5*p(r) - s(r).
-2*r**3 + 2*r - 5
Let y(i) = -i**2 - i - 1. Let c(f) be the first derivative of -f**2 - 7*f - 9. Let u be c(-4). Let s(j) = j**3 - j**2. What is u*s(g) - y(g)?
g**3 + g + 1
Let m(k) = 6*k + 4. Let n(b) = 5*b + 3. Suppose 0 = 6*x + 4*x - 410. Let u = x - 37. Calculate u*m(p) - 5*n(p).
-p + 1
Let w(x) = -3*x**3 - x + 1. Let t(y) = -y**3 - y. Let r = 69 + -66. Let z be (r + (3 - 5))/(-3 - -2). What is z*t(k) + w(k)?
-2*k**3 + 1
Let z(q) = 2 + 1 + 50102*q - 50107*q. Let f(m) = -6*m + 4. What is -3*f(k) + 4*z(k)?
-2*k
Let v(d) = 5*d + 1. Let q(l) = 218*l - 2. Give -q(a) - 3*v(a).
-233*a - 1
Let x(u) = 3*u**2 - 5. Let o(k) be the third derivative of -k**5/60 + k**3/3 + k**2. Let h be 60/24*(2 - 0 - 0). What is h*o(d) + 2*x(d)?
d**2
Let q(f) = -3*f**2 + f - 1. Let s(c) = -8*c**2 - 21*c + 3. What is 3*q(h) + s(h)?
-17*h**2 - 18*h
Let s(j) = -288*j - 9. Let u(z) = -145*z - 5. Calculate -5*s(h) + 9*u(h).
135*h
Let j(z) = -9*z**2 - 17*z. Let o(b) = -4*b**2 - 8*b. Suppose g - 8 = 3*q - 2*q, -3 = -4*q - 3*g. Determine q*j(d) + 7*o(d).
-d**2 - 5*d
Let b(a) = 7*a**3 - 7*a**2 + 2. Let n(m) = 3*m**3 - 3*m**2 + 1. Let u be (18/24)/((-1)/(-12)). Let j = 725 - 729. Calculate j*b(f) + u*n(f).
-f**3 + f**2 + 1
Let s(l) = -6*l + 1. Let o(i) be the second derivative of -5*i**3/6 + i**2 + 67*i. Give 2*o(z) - 3*s(z).
8*z + 1
Let w(z) = 40*z + 22. Let v(u) = u + 2. What is 12*v(p) - w(p)?
-28*p + 2
Let q(f) be the first derivative of 4*f**3/3 + 1. Let s = -76 + 1. Let d = s + 72. Let y(i) = 20*i**2. Determine d*y(t) + 14*q(t).
-4*t**2
Let x = 101 - 92. Let l(c) = -3*c**3 - 2*c**2. Let a(p) = 12*p**3 + 9*p**2. What is x*l(w) + 2*a(w)?
-3*w**3
Let g(f) = 2*f**3 + 3*f - 4. Suppose 0 = -26*o + 44*o + 36. Let s(h) = -2*h**3 - 3*h + 3. Determine o*g(y) - 3*s(y).
2*y**3 + 3*y - 1
Let c(w) = -3*w**3 + 4*w**2 - w + 5. Let x = -1770 - -1766. Let q(o) = -o**3 + o**2 + 1. Give x*q(t) + c(t).
t**3 - t + 1
Let w(m) = 63*m**2 + 6*m - 1. Let j(x) = 62*x**2 + 4*x - 1. Give -3*j(l) + 2*w(l).
-60*l**2 + 1
Let r(t) = -t**2 - 1. Let w(l) = 117*l**2 - 2*l - 1. Determine -r(p) + w(p).
118*p**2 - 2*p
Let v(w) = -w - 233. Let u(o) = o + 234. Give 2*u(a) + 3*v(a).
-a - 231
Let o(d) = 13*d**2 - 43*d - 52. Let c(z) = 7*z**2 - 23*z - 26. What is 11*c(q) - 6*o(q)?
-q**2 + 5*q + 26
Let v(w) = -15*w**2 + w. Let q(t) = -14*t**2 + 2*t. Calculate -4*q(j) + 6*v(j).
-34*j**2 - 2*j
Let j = 138 + -103. Let t = 42 - j. Let x(z) = 4 + 