(a).
2*a - 3
Let i(p) = p + 1. Let k(g) = 4*g + 6. What is -6*i(c) + k(c)?
-2*c
Let d(a) = -3*a**3 - 8. Let h(w) = -w**3 - 1. What is 3*d(y) - 24*h(y)?
15*y**3
Let x(y) = -7*y**2 - 9*y. Let u(r) = -20*r**2 - 26*r. Determine 6*u(v) - 17*x(v).
-v**2 - 3*v
Let g(t) = t - 7. Let z(i) = i**2 + 5*i - 28. Calculate -9*g(x) + 2*z(x).
2*x**2 + x + 7
Let v(z) be the second derivative of -3*z**5/20 - 5*z**4/12 + 2*z. Let u(k) = 2*k**3 - 3*k - 1037*k**2 + 1040*k**2 + 3*k. Calculate -5*u(c) - 3*v(c).
-c**3
Let w(q) = -q**3 - 2*q**2 - 2. Let a(g) = 0*g**3 - 18 - 2*g**3 - 2*g**2 - g**2 + 15 + g. Give 2*a(u) - 3*w(u).
-u**3 + 2*u
Let z(i) = -7*i**2 + 3*i + 7. Let s(v) = -v**2 + v + 1. What is -5*s(n) + z(n)?
-2*n**2 - 2*n + 2
Let x(j) = -2*j + 9. Let d(z) = z - 4. Give 9*d(n) + 4*x(n).
n
Let v(l) = -2135*l**2 + 245*l + 245. Let y(k) = -35*k**2 + 4*k + 4. What is -4*v(m) + 245*y(m)?
-35*m**2
Let p(f) = -4*f**3 - 6*f**2 + 1. Let y(t) = 3*t**3 + 4*t**2 - 1. Let m(a) = 5*p(a) + 7*y(a). Let u(k) = -k**2 - 1. Determine 2*m(z) - 4*u(z).
2*z**3
Let l(b) = 1. Let a(t) = 1. Let y(i) = 4*i - 3. Let p(j) = 5*a(j) + y(j). Determine l(r) - p(r).
-4*r - 1
Let w(d) = 2*d**3 - d**2 - 6*d - 4. Let s(j) be the third derivative of -j**6/40 + j**5/60 + 7*j**4/24 + 5*j**3/6 - 6*j**2. Calculate 4*s(z) + 5*w(z).
-2*z**3 - z**2 - 2*z
Let f(x) = 9 - 25 + 9 + 4*x - 2*x**2. Let c(o) = o**2 - 2*o + 3. Give 7*c(m) + 3*f(m).
m**2 - 2*m
Let k(r) = 1. Let b(i) = -3*i + 3. Let p(j) = b(j) - 4*k(j). Let l(m) = m**2 + 4*m + 1. Give 2*l(n) + 3*p(n).
2*n**2 - n - 1
Let k(j) = -j - 72 - 4*j**2 + 72. Let t be 3/6 - 9/(-2). Let r(s) = -s + 7*s**2 - 2*s + 5*s. Give t*k(h) + 3*r(h).
h**2 + h
Let j(f) = 9*f - 9*f**2 - 4 + 0 - 2*f. Suppose 31 = 3*a - 2. Let m(t) = 5*t**2 - 4*t + 2. Determine a*m(n) + 6*j(n).
n**2 - 2*n - 2
Let h(t) = -t. Let s be 8 + (3/3 - 3). Suppose -2*r - 8 = -2*l, l = 5*r + s + 2. Let y(j) = 6*j. Calculate r*y(w) - 5*h(w).
-w
Let l(h) = -29*h**3 + 7. Let g(o) = -10*o**3 + 2. Calculate 8*g(q) - 3*l(q).
7*q**3 - 5
Let i(l) = 24*l - 26. Let r(c) = -5*c + 5. Calculate 2*i(o) + 11*r(o).
-7*o + 3
Let s(t) = -3*t + 4. Let v be s(4). Let q(k) = 11*k**2 + 5*k - 8. Let r(u) = 4*u**2 + 2*u - 3. Give v*r(w) + 3*q(w).
w**2 - w
Let p(c) = c**2 - c. Let m(o) = -6*o**2 + 4*o. Suppose 0 = -7*s + 3*s - 4. Let f be s/(-1 + (-14)/(-12)). Let z = 5 + f. Determine z*m(y) - 4*p(y).
2*y**2
Let v(b) = 17*b + 6. Let f = 11 + -4. Let u(a) = -a + 3 + f*a - 1. Give 11*u(h) - 4*v(h).
-2*h - 2
Let n(p) = -3*p + 6. Let r(c) = 4*c - c + 3*c - 2*c - 7. Calculate 6*n(a) + 5*r(a).
2*a + 1
Let f = 4 - 9. Let j(q) = -5*q + 1. Let c(n) = 11*n - 3. Give f*j(i) - 2*c(i).
3*i + 1
Let b(j) = 2*j**3 + 4*j**2 + 7*j. Let t(g) = -3*g**3 - 5*g**2 - 7*g. Give -5*b(n) - 4*t(n).
2*n**3 - 7*n
Let w = 5 + 3. Let r(v) = -80 + 157 - 76 - 2*v. Let g(d) = -6*d + 2. Calculate w*r(c) - 3*g(c).
2*c + 2
Let u(h) = -23*h**3 - 5*h**2 - 9*h. Let o(t) = -12*t**3 - 3*t**2 - 5*t. Calculate 11*o(d) - 6*u(d).
6*d**3 - 3*d**2 - d
Let u(l) = l**2 - 3. Suppose -29*q = -32*q + 9. Let g(s) = -5 + 2*s**2 + 1 - 4. Calculate q*g(x) - 8*u(x).
-2*x**2
Let g(r) = -11*r + 9. Let v(l) = 8*l**3 + l**2. Let p be v(-1). Let f(q) = 5*q + 2. Let n(h) = 15*h + 5. Let u(x) = 17*f(x) - 6*n(x). Give p*u(o) + 3*g(o).
2*o - 1
Let d(v) = 22*v + 4. Let f(r) = 7*r + 1. Calculate 5*d(m) - 16*f(m).
-2*m + 4
Let g(n) be the first derivative of -3*n**4/2 - 8*n**3/3 + 3*n**2/2 - 8*n + 1. Let m = 318 + -321. Let j(w) = 2*w**3 + 3*w**2 - w + 3. Give m*g(q) - 8*j(q).
2*q**3 - q
Let h(q) = -115*q**3 + 92. Let v(r) = r**3 - 1. What is h(z) + 92*v(z)?
-23*z**3
Let p(n) = -7*n. Let q(w) = 111*w. Give -33*p(u) - 2*q(u).
9*u
Let p(u) = -10*u - 12. Let c be p(-1). Let s(b) = -50*b**3 + 35*b**2 + 35. Let i(w) = -3*w**3 + 2*w**2 + 2. Give c*s(g) + 35*i(g).
-5*g**3
Let x(b) = 28*b**3 - b**2 - b + 1. Let t(v) = v**2 - 1. Determine -t(h) - x(h).
-28*h**3 + h
Let g(v) = v**2 + 2*v - 2*v - v. Let l(b) = b + 1. What is 2*g(i) + 2*l(i)?
2*i**2 + 2
Let y(x) be the third derivative of -3*x**4/8 + 2*x**3/3 + 10*x**2. Let t(c) = -3*c + 1. What is -7*t(o) + 2*y(o)?
3*o + 1
Suppose 2*a - 6 = 2. Let n be (-2 - -8)*a/6. Let x(m) = 11*m**3 - 7*m**2 - 7*m - 7. Let j(r) = -6*r**3 + 4*r**2 + 4*r + 4. What is n*x(z) + 7*j(z)?
2*z**3
Let l(o) = -o**2 - o. Let p(b) = -34*b**2 - 17*b. What is 51*l(h) - 3*p(h)?
51*h**2
Let o(i) be the first derivative of i**3/3 - i - 2. Suppose -6*t - 4 = -10. Let b = -3 - -2. Let z(f) = 2*f**2 + f - 1. Give b*o(s) + t*z(s).
s**2 + s
Let u(s) = -6*s - 3. Let q = -8 - -9. Let y be 4/2 - -2 - q. Let i(x) = -5*x - 2. What is y*u(a) - 4*i(a)?
2*a - 1
Let r = 165 + -171. Let x(o) = -19*o**2 - 13. Let a(z) be the first derivative of z**3 + 2*z - 1. Give r*x(f) - 39*a(f).
-3*f**2
Let j(i) = i - 2. Let x(a) = -a + 5. Calculate 15*j(d) + 6*x(d).
9*d
Let w(j) = -15*j - 1. Let t(y) = -45*y - 4. Determine 2*t(n) - 7*w(n).
15*n - 1
Let x be 5/3*(3 - -3). Let w = -17 + x. Let m(k) = 3*k**2 + 7*k. Let o(u) = u**2 + 2*u. What is w*o(g) + 2*m(g)?
-g**2
Let d(w) = 3*w + 1. Let u be d(-2). Let p(z) = 4*z + 8. Let r(q) = -19*q - 32. Let f(k) = -9*p(k) - 2*r(k). Let j(a) = -2*a + 7. Give u*f(h) - 6*j(h).
2*h - 2
Let d(n) = 1. Let i(l) = l**3 + 9*l**2 - 9*l + 12. Let g be i(-10). Let x(c) = 1 + 2*c**g + 6 + 4*c - 3*c. Let r = 15 + -21. Calculate r*d(o) + x(o).
2*o**2 + o + 1
Let o(u) = 459*u + 136. Let y(j) = 17*j + 5. Determine 5*o(i) - 136*y(i).
-17*i
Let c(b) = -12*b**2 - 4*b + 2. Let d(v) = 24*v**2 + 7*v - 3. Give -5*c(q) - 3*d(q).
-12*q**2 - q - 1
Let v(q) = -3*q - 6. Let m(s) = -2*s + 1. Let y(x) = -5*x + 3. Let f(r) = 8*m(r) - 3*y(r). Determine -6*f(c) + v(c).
3*c
Let l(p) = -13*p**2 - 2*p + 3. Let f(j) = -6*j**2 - j + 1. Let v(h) = -5*f(h) + 2*l(h). Let t(i) = -7*i**2 - 2*i - 1. Determine -3*t(a) - 5*v(a).
a**2 + a - 2
Let d(t) = -17*t**3 - 101*t**2 + 8*t + 13. Let y(o) = 4*o**3 + 25*o**2 - 2*o - 3. Calculate -2*d(v) - 9*y(v).
-2*v**3 - 23*v**2 + 2*v + 1
Let c(s) = 3*s**3 - 3*s**2 - 3*s - 3. Let m = 0 - -3. Let i(r) = -3*r**3 + 2*r**2 + 2*r + 2. Give m*i(t) + 2*c(t).
-3*t**3
Let s(h) be the first derivative of -h**4/2 + 4*h**3/3 - 2*h**2 + 5*h + 2. Let k(w) = -2*w**3 + 5*w**2 - 5*w + 6. What is 4*k(x) - 5*s(x)?
2*x**3 - 1
Let j(s) be the first derivative of 11*s**2/2 - 2*s + 1. Let q(g) be the third derivative of 5*g**4/24 - g**3/6 - 2*g**2. Determine -4*j(z) + 9*q(z).
z - 1
Let l(t) = 17*t**3 + 4*t**2 - 4*t + 2. Let z(u) = 51*u**3 + 11*u**2 - 11*u + 6. Calculate 11*l(f) - 4*z(f).
-17*f**3 - 2
Let x(k) = 2*k + 2. Let w(s) = 2*s + 2. Suppose -c - 2 = -2*c. Suppose 9 = c*a - 5*a. What is a*x(o) + 4*w(o)?
2*o + 2
Let g(i) = 1. Suppose 8*p = 4*p + 3*u + 11, 21 = 3*p + 2*u. Let k be 6/p + 1/(-5). Let c(y) = 2*y + 10. Give k*c(w) - 12*g(w).
2*w - 2
Let j(n) = -5*n**2 + 9*n + 2. Suppose 14 = -o - o. Let k(q) = -4*q**2 + 8*q + 2. Determine o*k(y) + 6*j(y).
-2*y**2 - 2*y - 2
Let q(s) = 5*s**3 + 11*s**2 + 8*s + 6. Let f(h) be the first derivative of h**4/2 + 4*h**3/3 + 3*h**2/2 + 2*h + 11. Give 8*f(t) - 3*q(t).
t**3 - t**2 - 2
Let g(m) = m**2 - 4*m + 3. Let a(l) = 2*l**2 - 8*l + 7. Let d(s) = -2*a(s) + 5*g(s). Let q(v) = 2*v**2 - 5*v + 1. What is -3*d(c) + 2*q(c)?
c**2 + 2*c - 1
Let t(s) = -22*s**3 + 5*s**2 + 8*s**3 + 5*s**3. Let f(k) = 26*k**3 - 14*k**2. Determine -5*f(c) - 14*t(c).
-4*c**3
Let n(a) = 2*a. Let y(p) = -p. Calculate -n(l) + y(l).
-3*l
Let p(h) = h - 1. Let u(w) = w - 2. Let y be (4/(-4))/((-4)/(-12)) + -2. Determine y*p(o) + 3*u(o).
-2*o - 1
Let n(v) = 12*v + 11. Let s(f) = 3*f + 3. What is 2*n(u) - 9*s(u)?
-3*u - 5
Let f(j) = 7*j**2 - 6*j + 4. Let i(s) = s**2 + s + 1. Let u(z) = -f(z) - 4*i(z). Let c(p) = 7*p**2 - p + 5. Calculate 8*c(w) + 5*u(w).
w**2 + 2*w
Let v(j) = j + 1. Let w(x) = 2*x + 3. Give 8*v(u) - 3*w(u).
2*u - 1
Let j(h) = 5*h + 3. Let b(g) = 6*g + 3. Determine 5*b(l) - 4*j(l).
10*l + 3
Let l(q) = -3*q + 5. Let j(x) be the third derivative of -x**4/12 + x**3/2 - 2*x**2. Calculate 7*j(p) - 4*l(p).
-2*p + 1
Suppose -q - n = -3*q - 6, 0 = -3*q - 3*n - 9. Let v(i) = i**3 - 2*i**2. Let w(m) be the third derivative of -m**5/20 - 11*m**2. What is q*v(x) + 2*w(x)?
-3*x**3
Let n(r) = -4*r + r + 5 + 0*r. Let p = -4 + -6. Let h(z) = -2*z + 3. Calculate p*h(m) + 6*n(m).
2*m
Let w = 5