b).
-b + 1
Let w(v) = 1. Let n(q) = q. Let t(i) = n(i) - 2*w(i). Let x(k) = 6*k - 4. Let g(d) = -5*d + 3. Let z(a) = -5*g(a) - 4*x(a). What is t(y) + 2*z(y)?
3*y
Let v(u) = -9*u**2 + 53*u + 5. Let g(j) = -13*j**2 + 80*j + 7. Determine 5*g(r) - 7*v(r).
-2*r**2 + 29*r
Let v(g) be the first derivative of -g + 1. Let i(s) = -s - 4. Suppose -z = o - 2, -5*z - 1 - 1 = o. Determine z*i(r) + 4*v(r).
r
Let o(l) = -1. Suppose 2 = -3*i - 4. Let c(t) = t**2 - 2*t - 2. Calculate i*o(r) + c(r).
r**2 - 2*r
Let s be 3 + 4 + (-2)/1. Let i(l) = l - s*l - 5 + 3. Let v(h) = 3*h + 2. Suppose 0 = 4*y + 10 - 30. Determine y*i(x) + 6*v(x).
-2*x + 2
Let q(a) = 2*a - 2. Let o(i) = -2*i + 3. Determine 4*o(v) + 6*q(v).
4*v
Let n(o) = -14*o**2 + 3*o - 2. Let j(g) = -41*g**2 + 8*g - 7. Give -3*j(b) + 8*n(b).
11*b**2 + 5
Let r(z) = -102*z - 3. Let m(x) = -51*x - 1. What is 7*m(v) - 3*r(v)?
-51*v + 2
Let v(z) = -8*z**2 + 2. Let k(b) = 16*b**2 - 3. Determine -3*k(n) - 5*v(n).
-8*n**2 - 1
Let i(z) = 9*z**2 + 4*z + 9. Suppose 0 = -2*n + 19 - 5. Let q(h) = -5*h**2 - 2*h - 5. Calculate n*q(y) + 4*i(y).
y**2 + 2*y + 1
Suppose 4*m + 1 = -7. Let s(z) = z**3 - z**2 - 2*z - 3. Suppose y + 15 = 4*y. Let o(f) = f - 3 + 5 + 5 - y. Calculate m*s(p) - 3*o(p).
-2*p**3 + 2*p**2 + p
Let a(c) = c - 10. Let b be a(11). Let g(f) = -11 - 3 - b + 2*f + 4. Let n(z) = z - 5. Determine -3*g(k) + 7*n(k).
k - 2
Let q(m) = -5*m**3 + 8*m**2 - 6*m - 1. Suppose 0 = -4*u + 2*k + 2, -3*k + k - 11 = 5*u. Let z(x) = -x**3 + x**2 - x. Determine u*q(h) + 6*z(h).
-h**3 - 2*h**2 + 1
Let c(v) = 6*v - 5. Let q(f) be the first derivative of -f**4/24 + f**3/6 - 3*f**2 + 1. Let i(s) be the second derivative of q(s). Determine 2*c(n) + 10*i(n).
2*n
Let d(n) = -3*n - 3*n**2 + 4*n**2 + 5 + n**2 - 7*n**2. Let v(b) = 6*b**2 + 4*b - 6. Suppose 3*f + 16 = 7*f. What is f*d(t) + 3*v(t)?
-2*t**2 + 2
Let w = -34 - -56. Let k(q) = 4*q + 4. Let y(o) = -15*o - 15. Determine w*k(c) + 6*y(c).
-2*c - 2
Let h(x) = 6*x**2 - 11*x + 1. Let q(b) = -b**2 + 2*b. Give -4*h(z) - 22*q(z).
-2*z**2 - 4
Let f(o) = 4*o**2 + 6*o + 6. Let h(u) = -u - 1. Let n(a) = f(a) + 3*h(a). Let c(v) = -5 + 1 + 3 - v**2 - v. Calculate 3*c(b) + n(b).
b**2
Let d(q) = -5*q**3 + 3*q**2 - 3. Let a(h) = 2*h**3 - h**2 + 1. Determine -11*a(u) - 4*d(u).
-2*u**3 - u**2 + 1
Let z(i) = -2*i + 4. Suppose -2 - 2 = 2*h. Let q = h - 1. Let f(r) = r + 5. Let x(u) = u + 11. Let g(k) = -11*f(k) + 6*x(k). Determine q*g(v) + 8*z(v).
-v - 1
Let y(d) = 1. Let r(i) = 8*i**2 + 3. What is r(p) - 2*y(p)?
8*p**2 + 1
Let k(m) = -3*m + 7. Let a(p) = 2*p - 3. Determine 9*a(f) + 4*k(f).
6*f + 1
Let w(y) = 2*y. Let s(o) = -o - 6. Let v(f) = -2*f - 14. Let i(u) = 14*s(u) - 6*v(u). Determine -6*i(d) - 5*w(d).
2*d
Let s(b) = -210*b**3 - 45*b**2 - 45*b + 45. Let z(g) = -19*g**3 - 4*g**2 - 4*g + 4. Calculate -4*s(t) + 45*z(t).
-15*t**3
Suppose h - 1 = 3. Let t(n) = 7*n + 0 - h - 4*n. Let l(p) = -7*p + 9. Suppose 0 = -4*w - 4*c + 9 - 33, -2*w - 4*c - 16 = 0. Calculate w*l(o) - 9*t(o).
o
Let f(n) = n - 7. Let s(o) = -6 - 1 + 10 - 4. Calculate f(z) - 6*s(z).
z - 1
Let i(z) be the second derivative of -11*z**3/6 + z**2/2 + 19*z. Let v(a) be the third derivative of -a**4/4 + a**3/6 - 2*a**2. Determine -3*i(w) + 5*v(w).
3*w + 2
Let w(t) = -2 + 1 + 19*t + 4 - 14*t. Let l(d) = 11*d + 7. Calculate -6*l(b) + 13*w(b).
-b - 3
Let t(o) = -23*o. Suppose 0 = 8*x + 5*x - 65. Let d(a) = 15*a. Calculate x*t(f) + 8*d(f).
5*f
Suppose v - s = 3, 0 = 4*v + 4*s + s + 24. Let w(f) = f**3 + f. Let i(g) be the first derivative of 5*g**4/4 + 2*g**2 - 2. Calculate v*i(p) + 4*w(p).
-p**3
Let l(q) = 6*q**2 - 3. Let m(v) = -3*v**2 + 2. What is 4*l(o) + 7*m(o)?
3*o**2 + 2
Let q(t) = 5*t**2 + 3*t + 3. Let l(c) = -39*c**2 - 24*c - 16. Let v(b) = 116*b**2 + 71*b + 49. Let m(o) = -11*l(o) - 4*v(o). Determine -3*m(h) - 20*q(h).
5*h**2
Let t(m) = -3*m + 1. Let r(c) = -c**3 - 3*c**2 + 4. Let y be r(-3). Let l(q) be the second derivative of 5*q**3/6 - q**2 - 4*q. Determine y*l(j) + 7*t(j).
-j - 1
Let t(m) = -m - 2. Let d(r) = 5*r + 11. Calculate 6*d(x) + 33*t(x).
-3*x
Let d(t) = -t**2 + t + 1. Let a(l) = -4*l - 4. Suppose -5*b + f = -4, 0*f = 2*b - 4*f + 2. Calculate b*a(z) + 4*d(z).
-4*z**2
Let x(i) = -i**3 - 11*i**2 - 5*i - 5. Let v(t) = -5*t**2 - 2*t - 2. What is 5*v(o) - 2*x(o)?
2*o**3 - 3*o**2
Let m(y) = -19*y**2 + y. Let h(o) = -9*o**2. What is 9*h(a) - 4*m(a)?
-5*a**2 - 4*a
Let w(t) = 18*t - 1. Let j(f) = -19*f + 1. Calculate 2*j(c) + 3*w(c).
16*c - 1
Let o(u) = u**2. Let y(h) = -2*h**2. Let l be (3/(-4))/(4 + (-201)/48). What is l*y(t) + 9*o(t)?
t**2
Let p(a) = 2*a**2 - 2*a. Let u(x) = x**2 + x. Calculate 4*p(v) + 8*u(v).
16*v**2
Let r(m) = 21*m**2 + 6*m + 6. Let f(c) = 4*c**2 + c + 1. Determine -11*f(y) + 2*r(y).
-2*y**2 + y + 1
Let m(a) = -a**3. Let g = 6 - 4. Suppose 0 = b - g*v, v = -0*b + 3*b + 15. Let l(x) = 2*x**3. Determine b*m(s) - 2*l(s).
2*s**3
Let t be (-4)/(-10)*(4 - 19). Let k(x) = -x. Let w(y) = -2*y + 3*y + y + 4*y. Determine t*w(i) - 33*k(i).
-3*i
Let u(m) = -9*m**3 + 13*m**2 - 13. Let g(d) = d + 10. Let o be g(-16). Let c(y) = 6*y**2 - 3 - y**2 - 2*y**3 - 2*y**2. Calculate o*u(l) + 26*c(l).
2*l**3
Let m(w) = -26*w**2 + 16*w. Let q(y) be the third derivative of -3*y**2 + 1/12*y**5 + 0 + 0*y**3 + 0*y - 1/8*y**4. Determine -3*m(o) - 16*q(o).
-2*o**2
Let m(q) = -8*q + 4. Let v(h) = -11 + 15*h + 3 - 1. Let j(o) = 5*m(o) + 3*v(o). Let x(r) = 2*r - 3. Let a = 34 - 30. Give a*j(l) - 9*x(l).
2*l - 1
Suppose -z = 2 - 3. Let l(p) = p. Let f(m) = -3*m. Let t(h) = 3*h. Let j(x) = -4*f(x) - 3*t(x). Give z*j(w) - 4*l(w).
-w
Suppose -5*m + 22 - 7 = 0. Let a(z) be the third derivative of z**5/60 - z**3/6 + z**2. Let k(x) = x**2 - 3. Give m*a(q) - k(q).
2*q**2
Let u(n) = -4*n**3 - 3*n**2 + 2*n. Let x(r) = 21*r**3 + 16*r**2 - 11*r - 1. Determine 11*u(f) + 2*x(f).
-2*f**3 - f**2 - 2
Let i(d) = -d**2 + d. Let j(w) = 6*w + 11. Give -4*i(h) + j(h).
4*h**2 + 2*h + 11
Let f(y) = -9*y + 7. Let q be (6 - 0)/(2 - 3). Let h be 2/q - (-5)/(-3). Let z(b) = -b**2 + 1. Let r be z(h). Let k(g) = -4*g + 3. Determine r*f(v) + 7*k(v).
-v
Let k(a) = 10*a**2 - 2*a. Let b(u) = 70*u**2 - 15*u. What is 2*b(z) - 15*k(z)?
-10*z**2
Let c(l) be the second derivative of l**4/3 - l**3/2 + 2*l**2 - l. Let x be 3 + (98/(-42) - 2/(-6)). Let f(w) = w**2 - w + 1. Calculate x*c(m) - 3*f(m).
m**2 + 1
Let r(w) = w**2 + 2*w + 4. Let c(p) = -2*p**2 - 6*p - 11. Suppose 0 = -3*f - 7 + 31. Give f*r(z) + 3*c(z).
2*z**2 - 2*z - 1
Let p(z) = 26*z**2. Let d(h) = -234*h**2 + 462*h**2 - 223*h**2. Calculate 11*d(s) - 2*p(s).
3*s**2
Let j(i) be the second derivative of i**4/3 - 2*i**3/3 - 3*i**2/2 - 11*i. Let t = -8 - -5. Let z(h) = -3*h**2 + 3*h + 2. What is t*z(d) - 2*j(d)?
d**2 - d
Let a(h) = h**3 + 3*h**2 - 3*h - 3. Let f(o) = o**3 + o + 1. Let v(x) = 4*x**3 + 4*x**2 - x - 1. Let p(n) = 6*f(n) - 2*v(n). Determine 8*a(z) + 3*p(z).
2*z**3
Let u(w) = 2*w - 3*w + 0*w - 3*w. Let z(s) = 3*s - 4. Let j be z(4). Let m be (j/10)/((-1)/5). Let i(q) = 3*q. What is m*u(f) - 5*i(f)?
f
Let x(z) = z**2 - z + 1. Let p(y) = 15*y**2 - 3*y + 3. Calculate -p(k) + 3*x(k).
-12*k**2
Let a(m) = m. Let d(l) = 26*l**3 + 6*l. Calculate -6*a(b) + d(b).
26*b**3
Let u be 3 + 2 + -3 + 0. Let j(n) be the first derivative of 4*n**4 + 5*n**2 + 11*n - 1/3*n**3 + u. Let p(l) = -3*l**3 - 2*l - 2. Determine 2*j(o) + 11*p(o).
-o**3 - 2*o**2 - 2*o
Let i(w) = -5*w**2 - 3*w. Let d(b) = 6*b**2 + 4*b. Let r(x) = 2*x**3 - 3*x**2 + x + 2. Let t be r(2). Let f = t - 11. Give f*d(l) - 4*i(l).
2*l**2
Let q(j) = -j + 1. Let i(g) = -7*g + 3. What is i(s) - 6*q(s)?
-s - 3
Let c(y) = 2*y**3 + 2*y**2 + 6*y + 1. Let w(z) = z. Give -c(q) + 6*w(q).
-2*q**3 - 2*q**2 - 1
Let t(s) = -32*s. Let c(d) = 63*d. Give -6*c(x) - 11*t(x).
-26*x
Let q(u) = u**2 - 3*u + 4. Let w(t) be the first derivative of -t**2/2 + t + 5. Determine 2*q(h) - 6*w(h).
2*h**2 + 2
Suppose 5*x + 25 + 5 = 0. Let z(q) = -2*q - 5. Let h = 2 - -3. Let d(m) be the first derivative of -m**2 - 6*m + 2. Determine h*d(t) + x*z(t).
2*t
Let u be (-58)/6 + (-20)/(-30). Let j(z) = z**2 - 4*z + 2. Let w(a) = 4*a**2 - 17*a + 9. Give u*j(g) + 2*w(g).
-g**2 + 2*g
Let m(o) = -4*o - 7. Let x(a) be the third derivative of -3*a**4/8 - 5*a**3/2 + 46*a**2. Give -13*m(w) + 6*x(w).
-2*w 