d).
3*d
Let l(m) = m**2 + m. Let f(o) = 25*o**3 - 150*o**2 - 150*o. Determine -f(p) - 150*l(p).
-25*p**3
Let v(a) = -2*a**2 + 6. Let j(y) = -y**2 + 5. Give -3*j(r) + 2*v(r).
-r**2 - 3
Let o be (-2 - -3)*-1 - 0. Let d(g) = 1. Let n(l) = 2*l + 1. Suppose -4*f - 4*q + 25 - 1 = 0, 3*q = 2*f + 8. Let y = f - 1. Give o*d(m) + y*n(m).
2*m
Suppose -3*j = m - 4*j + 3, 5*m + 55 = -3*j. Let z(c) = -c + 1. Let r(h) = h + 3 + h - 5. Let p = 1 + -4. Calculate m*z(d) + p*r(d).
2*d - 2
Let b(h) = -h + 58 - 121 + 58. Let p(v) = -v - 3. Calculate 5*b(i) - 8*p(i).
3*i - 1
Let t(x) = 35*x. Let q(f) = -f - 1. Calculate 2*q(b) + t(b).
33*b - 2
Let l(s) be the third derivative of s**4/8 - 5*s**2 - 7*s. Let v(w) = -w. Calculate -3*l(q) - 8*v(q).
-q
Let d(r) = 14*r**2 + 8*r - 6. Let k(a) = a + 1. Let o(x) = -5*x**2 + x + 6. Let j(s) = 4*k(s) - o(s). Calculate -3*d(b) + 8*j(b).
-2*b**2 + 2
Let a(j) = 3*j + 1. Let o(q) = 2*q + 1. Let s be ((8/7)/2)/((-7)/(-49)). Calculate s*a(c) - 7*o(c).
-2*c - 3
Let l(y) = y**2 + 13*y - 35. Let n be l(-15). Let a(r) = -6*r**3 + 6*r**2 + 7*r + 5. Let k(s) = -5*s**3 + 5*s**2 + 6*s + 4. What is n*k(m) + 4*a(m)?
m**3 - m**2 - 2*m
Let t(f) = -113 + 13*f + 55 + 63. Let x(h) = 6*h + 2. What is -2*t(y) + 5*x(y)?
4*y
Let p(o) = -2*o**3 + 2*o**2 - 2. Suppose -4*i + 4 = 4*u, 0*u = -u - 2. Suppose 4 = 7*k - i*k. Let t(w) = 2 + w**2 - 3 + 0*w**2. Calculate k*p(n) - 2*t(n).
-2*n**3
Let g(z) = z - 7. Let w(y) = -y**2 + 1. Give g(p) + 2*w(p).
-2*p**2 + p - 5
Let z(q) = q**3 - 3*q - 3. Suppose -c + 9 = 2*c. Let u be (8/12)/((-2)/(-6)). Let f(v) = 0*v - u + 3 + v. Calculate c*f(m) + z(m).
m**3
Let z(f) = -9*f + 9. Let v(p) = -4*p + 4. Let l(h) = -14*v(h) + 6*z(h). Let q(x) = x**2 + 5*x - 5. What is -5*l(n) + 2*q(n)?
2*n**2
Suppose -4*n + 65 = -k, 2*n - 43 = -0*n - 3*k. Let b(x) = -2*x**2 - 6*x - 6. Let j(w) = -5*w**2 - 17*w - 17. Give n*b(q) - 6*j(q).
-4*q**2
Let v(g) = -217*g + 63. Let j(w) = -7*w + 2. Determine -63*j(s) + 2*v(s).
7*s
Suppose -3*q - 14 = -a - 4*a, -3*a = -12. Suppose j = -0*j - q. Let s(b) = 3*b - 2. Let z(o) = 7*o - 4. What is j*z(i) + 5*s(i)?
i - 2
Let a(m) = m**3 - 7*m**2 + 4*m + 6. Let v be a(6). Let j(x) = -2*x + 6. Let b(l) = 1. Let u(o) = -o**2 - 6*o - 4. Let c be u(-5). Give c*j(z) + v*b(z).
-2*z
Suppose 0 = 5*x - 5*q - 40, -4*q + 23 = x - 0*x. Let s(r) = r + 1. Let h(d) be the first derivative of -3*d**2 - 6*d - 1. Calculate x*s(m) + 2*h(m).
-m - 1
Let n(v) = 36*v. Let y(f) = -899*f. Give -124*n(x) - 5*y(x).
31*x
Suppose 0*x - 12 = -2*x. Let l(g) = 23*g + 6. Let a(h) = 11*h + 3. Let p(y) = x*l(y) - 11*a(y). Let s(o) = o + 0*o + 1 + 5*o. Determine -4*p(m) + 11*s(m).
-2*m - 1
Let i(z) = -7*z + 2. Let h(k) = 1. Let s(g) = g + 6. Let c(j) = -22*h(j) + 4*s(j). Let n(q) = 1. Let l(f) = c(f) - 3*n(f). What is -6*i(v) - 10*l(v)?
2*v - 2
Let b(t) = -t**2 - 6*t - 4. Let o be b(-6). Let n(k) = -2*k**2 + 2*k + 4. Let p(h) = 5*h**2 - 5*h - 9. Give o*p(r) - 9*n(r).
-2*r**2 + 2*r
Let a(j) = 7*j**3 + 5*j**2 + 11*j - 15. Let g(w) = -11*w**3 - 8*w**2 - 17*w + 23. Determine 8*a(b) + 5*g(b).
b**3 + 3*b - 5
Suppose -5*d - 3*q + 18 = 0, -3*d - 4*q = -1 - 1. Let z(h) = -7*h**2 + 1 + 0 - d. Let p(m) = 3*m**2 + 2. Let r be 2 + 0*3/(-3). Give r*z(v) + 5*p(v).
v**2
Suppose -x + 3*x - 2 = 0. Let q(y) = y - 1. Let c(n) = 6*n**2 + n - 2. Let i(f) = -17*f**2 - 2*f + 5. Let t(v) = -11*c(v) - 4*i(v). Determine x*t(r) + 2*q(r).
2*r**2 - r
Let w(p) = -35*p - 15. Suppose -12*d + 74 = -106. Let k(h) = -5*h - 2. Determine d*k(i) - 2*w(i).
-5*i
Let x(u) = -5*u - 1. Let y(h) = -h**2 + 9*h - 6. Let m be y(8). Let q(v) = 6*v + 2. Determine m*q(i) + 3*x(i).
-3*i + 1
Let f(m) = -16*m**3 + 12*m - 5. Let o(r) = 8*r**3 - 6*r + 3. Calculate -3*f(h) - 5*o(h).
8*h**3 - 6*h
Let k(c) = 11*c**3 - 10*c**2 - 4. Let j(d) = 6*d**3 - 5*d**2 - 2. Calculate -7*j(o) + 4*k(o).
2*o**3 - 5*o**2 - 2
Suppose -2*r + 3 = -17. Let y(d) = r + 4*d**3 - d**3 - 2 - 1 - 5*d. Let a(g) = 8*g + 1. Let v be a(-1). Let n(m) = m**3 - 2*m + 3. Give v*n(u) + 3*y(u).
2*u**3 - u
Let u(g) = -4*g**2 + 3*g - 3. Let n = -2 + -1. Let w be 9*(-1 + (-4)/n). Let b(i) = -i - 2*i**2 + 3*i**2 - 1 - 3 + 5. Calculate w*b(c) + u(c).
-c**2
Suppose 0 = 3*n - 4*n + 1. Let d(x) = -1 + 3 - 1. Let p(t) = -t**2 + 1. Give n*p(a) - d(a).
-a**2
Let q(w) = 19*w - 2. Let t(n) = 18*n - 3. Calculate 3*q(j) - 2*t(j).
21*j
Let b(d) = 8*d**3 + 3*d**2 - 4*d. Let q(f) = -f**2 + f. Determine -b(y) - 3*q(y).
-8*y**3 + y
Let j(a) = -28*a**3 + 5*a**2 - 5*a + 5. Let l(o) = -o**3 + o**2 - o + 1. Give j(g) - 5*l(g).
-23*g**3
Let h(l) = l**3 - l**2 + 1. Let m(r) = -7*r**3 + 6*r**2 - 2*r - 5. Let x = 23 + -24. Determine x*m(n) - 5*h(n).
2*n**3 - n**2 + 2*n
Let s be (0 - 0)*(3 + -4). Suppose g - 6*g - 15 = s. Let u(z) = 2*z - 2. Let p(v) = -2*v + 3. What is g*p(j) - 4*u(j)?
-2*j - 1
Let b be (-1 - 2) + 0 + 20 + -16. Let z(v) = -2*v. Let a(y) = -y - 2*y - 1 + 2*y. Calculate b*a(o) - z(o).
o - 1
Let y be (-1)/((-2)/(-8)) + -1. Let m(w) = -7*w**2. Let h(f) = -f**2 - f. Let d(r) = -5*r**2 - 7*r. Let o(b) = 3*d(b) - 21*h(b). What is y*m(x) - 6*o(x)?
-x**2
Let j(f) be the third derivative of f**5/15 - f**4/8 - f**3/6 + 10*f**2. Let s(i) be the first derivative of -i**3 + i**2 + 3. What is -2*j(m) - 3*s(m)?
m**2 + 2
Let v(o) = 2*o**2 + o - 8. Let q be 1*(5 - (-20)/(-5)). Let b(m) = -1. Determine q*v(j) - 5*b(j).
2*j**2 + j - 3
Let p(q) = -3*q + 4. Let u(d) = 10*d - 26. Let n(v) = -2*v + 5. Let c(l) = -11*n(l) - 2*u(l). Calculate 4*c(h) + 3*p(h).
-h
Let v(m) = 17*m**3 - 7*m - 6. Let q(c) = 8*c**3 - 3*c - 3. Calculate 7*q(y) - 3*v(y).
5*y**3 - 3
Suppose -2*a = 5*w - 18, 4*a - w - 26 = -6*w. Let g = 5 - a. Let m(i) be the first derivative of -i + 1. Let u(z) = z + 7. Calculate g*u(c) + 6*m(c).
c + 1
Let r(m) = -8*m**3 - m**2 + m. Let h(v) = -v**3 + 329*v - 329*v + 0*v**3. What is 14*h(b) - 2*r(b)?
2*b**3 + 2*b**2 - 2*b
Let f(m) = -4 + 0*m - 2*m + 7*m. Let v(b) be the third derivative of b**4/6 - b**3/2 - b**2. Suppose -2 = t + 2. Give t*v(w) + 3*f(w).
-w
Let m(j) = -j**2 - 1. Let y(d) be the second derivative of -7*d**4/12 - 2*d**2 + 12*d. Give -6*m(s) + y(s).
-s**2 + 2
Let h(x) = 24*x**2 + 14*x + 14. Let b(p) = 5*p**2 + 3*p + 3. What is -14*b(a) + 3*h(a)?
2*a**2
Let n(w) = -78*w**2 + 65*w. Let r(d) = -7*d**2 + 6*d. Calculate -6*n(i) + 65*r(i).
13*i**2
Let v(p) = -p. Let a(c) = -4*c - 2*c - 12*c + 20*c - 1 + 2. Let o(l) = -l**3 - 6*l**2 - 6*l - 7. Let w be o(-5). Let n = w - -3. Give n*v(z) + a(z).
z + 1
Let w(o) = o**2 - 1. Let j(t) = -8*t**2 - 2*t - 3. What is -j(l) + w(l)?
9*l**2 + 2*l + 2
Let k(g) = -g**3 + g**2 + 1. Let j(i) = 6*i**3 - 3*i**2 - 2*i - 3. Calculate j(m) + 2*k(m).
4*m**3 - m**2 - 2*m - 1
Let v(n) = -5*n**3 - 4*n**2 + 5*n. Let f(a) = a**3 + a**2 - a. Calculate -3*f(p) - v(p).
2*p**3 + p**2 - 2*p
Let z(k) = 2*k**2 + k - 1. Let h(v) = 2*v**2 + v - 2. Suppose -2*c + 7 = -3. Suppose 2*x = -c - 1. What is x*h(f) + 4*z(f)?
2*f**2 + f + 2
Let v(l) = 37*l**2 + 5*l - 2. Let b(a) = 55*a**2 + 8*a - 3. What is 5*b(h) - 8*v(h)?
-21*h**2 + 1
Let z(o) = -2*o**3 + 3*o**2 + 2. Let f(l) = l**3 - 2*l**2 - 1. Let b = -14 - -8. Determine b*f(v) - 4*z(v).
2*v**3 - 2
Let p(l) = -7*l**2 - 9*l - 12. Let c(x) = 3*x**2 + 4*x + 6. Calculate 5*c(k) + 2*p(k).
k**2 + 2*k + 6
Suppose -2*p - 2 - 16 = 0. Let b(a) = -13*a**3 - 9*a**2 - 9*a + 9. Let u(r) = -3*r**3 - 2*r**2 - 2*r + 2. Let w be 4*(-1)/(-4) - -1. Give p*u(s) + w*b(s).
s**3
Let t(w) = w + 1. Suppose 2*p + 26 = -3*s, 4*p = -5*s - 5 - 41. Let n(h) = h + 1. Let i(v) = v + 19. Let l be i(-14). What is l*t(y) + s*n(y)?
-y - 1
Let p(o) = 2 - 2*o**2 - 4 - 1 - 3*o. Let c(j) = -j**2 - j + 1. Let h(v) = -4. Let d(t) = 2*c(t) + h(t). Calculate 3*d(x) - 2*p(x).
-2*x**2
Let q(z) = 575*z**3 + 690*z**2 + 690*z. Let n(a) = a**3 + a**2 + a. Calculate -690*n(g) + q(g).
-115*g**3
Let o(k) = -8*k**3 - k**2 - 7*k + 7. Let y(d) be the first derivative of -7/4*d**4 + 6*d - 3*d**2 - 1 - 1/3*d**3. Calculate -6*o(v) + 7*y(v).
-v**3 - v**2
Let p(r) = -r - 2. Suppose -3*q - x + 9 = 3*x, 8 = q + 3*x. Let z(a) = 3 - 2 + 0. Calculate q*z(g) - p(g).
g + 1
Let w(k) = -540*k**2 + 35*k - 35. Let o(i) = -45*i**2 + 3*i - 3. What is 35*o(l) - 3*w(l)?
45*l**2
Let z(i) = i**3 - 3*i**2 + 2*i - 2. Let p(a) = -4*a**3 + 10*a**2 - 7*a + 5. Calculate -2*p