b).
-3*b + 32
Let g(p) = 3*p. Suppose 0 = 11*k + 1164 - 1120. Let d(j) = 2*j + 1. Determine k*d(t) + 3*g(t).
t - 4
Let w(g) = -12*g - 19. Let d(m) = -m - 2. Calculate -18*d(x) + 2*w(x).
-6*x - 2
Let o(f) be the first derivative of f**2 + 4*f - 2. Let p(v) = v**2 - 24*v + 31. Let g be p(17). Let k = 93 + g. Let z(d) = 2*d + 5. Calculate k*z(r) - 6*o(r).
-2*r + 1
Let h(y) = 15*y - 32. Let u(s) = -13*s + 31. Calculate -6*h(d) - 7*u(d).
d - 25
Let m = -10 + 14. Let c(f) = f + 1. Let p be 1/(3 + 5/(-2)). Suppose p*t - 1 = 3*t. Let w(q) = 3*q + 2. What is m*c(d) + t*w(d)?
d + 2
Let k(d) = 64*d + 8. Let w(j) = -64*j - 10. Give -4*k(a) - 3*w(a).
-64*a - 2
Let w(k) = 3*k**2 + 1. Let v(m) = 10*m**2 - 2*m - 182. Calculate -v(p) + 4*w(p).
2*p**2 + 2*p + 186
Let x(g) = g**2 - 3*g - 10. Let v(a) = -a**2 + a - 1. Let k(d) = v(d) - x(d). Let s(p) = -p**2 + 351 - 171 + 2*p - 175. What is 3*k(i) - 5*s(i)?
-i**2 + 2*i + 2
Let n(z) = -5*z**2 - 3*z + 7. Let g(b) = 6*b**2 + 3*b - 9. Calculate 4*g(w) + 5*n(w).
-w**2 - 3*w - 1
Let i(t) = -t + 1. Let v = -4 + 10. Let j be 2 + 2 + -8 - -3. Let k(r) = -7*r + 4. Give j*k(p) + v*i(p).
p + 2
Let r(a) be the third derivative of 1/30*a**5 + 0 + 5/6*a**3 + 5/24*a**4 + 0*a + 7*a**2. Let g(m) = -m**2 - m - 1. Calculate -5*g(f) - r(f).
3*f**2
Let x(y) = y**3 - 20*y**2 + 2*y - 25. Let z be x(20). Suppose -z + 83 = -4*w. Let u(d) = -4*d**3. Let c(s) = 11*s**3. Give w*u(b) - 6*c(b).
2*b**3
Let s(q) = -10*q**3 + 8*q - 2. Let d(h) be the first derivative of -h**4/4 + h**2/2 + 101. Determine -8*d(v) + s(v).
-2*v**3 - 2
Let b = -136 + 136. Let k(h) = -82 + 80 - 5*h + b*h. Suppose -8 = -0*l - 4*l. Let v(y) = -6*y - 3. Determine l*v(f) - 3*k(f).
3*f
Let c(o) = 15*o**2 - 8*o + 6. Let a(w) = -29*w**2 + 15*w - 11. Calculate 6*a(v) + 11*c(v).
-9*v**2 + 2*v
Let k(i) = -i + 7. Let o(q) = -3. Let d be ((-19)/57)/((-2)/42). Determine d*o(b) + 3*k(b).
-3*b
Let u(a) = -20*a + 11. Let f(t) = -7*t + 4. Suppose -b + 3*q - 105 = 0, -5*b - 5*q - 508 = -3*q. Let h be b/(-12) - 10/4. Determine h*u(o) - 17*f(o).
-o - 2
Let z(w) = 123*w - 64*w - 6 - 55*w. Let p(m) = -2*m + 3. Give 5*p(n) + 2*z(n).
-2*n + 3
Let f(d) = -11*d**3 + 11*d + 11. Let h(r) = -9*r**3 + 10*r + 10. Calculate 3*f(g) - 4*h(g).
3*g**3 - 7*g - 7
Let j(l) = -9*l**2 - 17*l + 7. Let c(m) = 13*m**2 + 18*m - 7. Calculate -2*c(w) - 3*j(w).
w**2 + 15*w - 7
Let p(l) = 3*l - 13. Let s(v) = v - 6. Determine 4*p(h) - 9*s(h).
3*h + 2
Let x(g) = g**3 + g**2 - g + 1. Let f(u) = -u**3 - 6*u**2 + 6*u - 6. Let y = 97 + -92. Suppose -j = 4*k - k + 11, 7 = -y*j - 3*k. Calculate j*f(n) + 6*x(n).
5*n**3
Let y(f) = 11*f**2 + 39*f - 6. Let u(h) = 10*h**2 + 38*h - 5. Give -6*u(r) + 5*y(r).
-5*r**2 - 33*r
Let n(o) = 52*o**2 + 3*o + 9. Let v(u) = 18*u**2 + u + 3. Give -4*n(c) + 11*v(c).
-10*c**2 - c - 3
Let w(k) = k**3 + k**2 + k + 1. Let n(x) = 6*x**3 + 5*x**2 + 5*x + 73. What is -n(o) + 5*w(o)?
-o**3 - 68
Let p(o) = -2*o**3 - o**2 - 4*o + 2. Let n(u) = 4*u**3 + 2*u**2 + 9*u - 5. Suppose 3*d - 9 + 30 = 3*z, -5*d - 51 = 3*z. Determine d*p(r) - 4*n(r).
2*r**3 + r**2 + 2
Let g(j) = j - 1. Let k be -1*((-188)/(-28) + (-8)/(-28)). Let n(z) = 3*z - 3. Give k*g(s) + 2*n(s).
-s + 1
Let f(c) = 1. Let w(k) = -3*k**2 + 1. Let s = -64 - -63. Give s*w(r) - 3*f(r).
3*r**2 - 4
Let q(w) = -2*w**3 + 11*w - 11. Suppose 5*o = -74*y + 78*y, 5*y - 45 = -5*o. Let g(r) = -r**3 + 4*r - 4. What is o*q(h) - 11*g(h)?
3*h**3
Let w be -1*(1 - (1 + -2)). Suppose 2*d - 7 = -3*k + 3*d, 2*d = 10. Let i(x) = -x + k*x - 4*x + 1 + 0. Let p(q) = 3. Calculate w*i(t) + p(t).
2*t + 1
Let g(p) = -p. Let j(z) = 6*z**3 + 6*z - 1. Let f(c) = 5*c**3 + 4*c + 1. Let s(n) = -4*f(n) + 3*j(n). Determine -2*g(d) - s(d).
2*d**3 + 7
Suppose 2*y - y = r, y - 2*r = -1. Let n(h) = -3*h**2 - 3*h + 2. Suppose 4*c + 8 = 2*f, f + 2 + 12 = -4*c. Let o(q) = -q**2 - q. Calculate f*o(m) + y*n(m).
-m**2 - m + 2
Let z be -3 - -5 - -3 - -40. Let c(j) = 41*j + j**2 + z*j + 1 - 87*j. Let b(q) = -7*q**2 + 7*q - 6. Let g = 3 + -2. What is g*b(u) + 5*c(u)?
-2*u**2 + 2*u - 1
Suppose -12*x - 45 - 15 = -0. Let q(a) = -2*a**2 - 6*a. Let n(v) = 7*v**2 + v - 6. Let j(s) = -s**2 + 1. Let b(h) = -6*j(h) - n(h). Determine x*b(t) + q(t).
3*t**2 - t
Let a(n) = -2*n**2 - 2*n + 6. Suppose i - 2*w - 3*w = 26, 5*w + 25 = 0. Let x(y) = -y + 1. Calculate i*a(t) - 3*x(t).
-2*t**2 + t + 3
Let l(b) = 2*b + 6. Let s(w) = -w**2 - 10*w + 4. Let q be s(-10). Let v(x) = -2*x - 7. Give q*l(h) + 3*v(h).
2*h + 3
Let y(d) = 2*d**3 + 8*d + 24. Let t(b) = -b**3 - 3*b - 8. Calculate -8*t(h) - 3*y(h).
2*h**3 - 8
Let n(k) = k. Let i(z) be the first derivative of -4*z**2 + 98. What is 6*i(o) + 56*n(o)?
8*o
Let f(b) = 30. Let p(j) = 13. Let a(y) = 2*f(y) - 5*p(y). Let k(r) = r - 5. Calculate -4*a(v) + 3*k(v).
3*v + 5
Let s(h) = -h. Let u(d) = 1. Let q(z) = -z**2 + 13*z - 19. Let o be q(10). Suppose o = 8*j + 19. Give j*u(x) - s(x).
x - 1
Let h(v) = 6*v**3 - 155*v**2 + 5*v. Let j(y) = -10*y**3 + 232*y**2 - 8*y. What is -8*h(l) - 5*j(l)?
2*l**3 + 80*l**2
Let n(u) = u + 1. Suppose -7*d + 212 = 219. Let q(z) = -11*z - 5. Determine d*q(b) - 5*n(b).
6*b
Let c(g) = 2*g**2. Let l(p) = 2*p**2 - 6*p - 13. Determine 2*c(r) - l(r).
2*r**2 + 6*r + 13
Let k(q) = 6*q**2 - 4*q - 1. Let p(t) = 11*t**2 - 9*t - 1. Give -5*k(r) + 2*p(r).
-8*r**2 + 2*r + 3
Let s(j) = 12*j**2 - 5*j + 5. Let t(h) = -62*h**2 + 3021 - 3063 + 44*h - 2*h - 40*h**2. Suppose 10 = -5*i + 3*i. Determine i*t(z) - 42*s(z).
6*z**2
Let r(n) = -n - 1. Let b(g) = -4*g - 2. Suppose 6*l + 12 = -0*l. Calculate l*r(j) + b(j).
-2*j
Let v(b) = 462*b**2 + 3*b. Let m(w) = 922*w**2 + 5*w. Calculate 4*m(k) - 7*v(k).
454*k**2 - k
Let l(j) = 2*j**3 + 14*j - 6. Let h(n) be the second derivative of -n**5/20 - 5*n**3/6 + n**2 + 506*n. Calculate -17*h(t) - 6*l(t).
5*t**3 + t + 2
Let j(r) = 27*r + 4. Let c(w) = 24*w + 7. What is -3*c(n) + 2*j(n)?
-18*n - 13
Let b be 3 - (-2 + (4 - 0))/(-1). Let q(f) = 3*f**3 - 5. Let l(g) = -g**3 + 2. What is b*l(w) + 2*q(w)?
w**3
Let h(t) = 1404*t - 24. Let y(q) = 281*q - 5. Give 5*h(c) - 24*y(c).
276*c
Let u(c) = -128247*c**2 - 985*c + 1970. Let f(z) = -391*z**2 - 3*z + 6. Give 985*f(i) - 3*u(i).
-394*i**2
Let z(f) = 1. Let j(i) = -2*i**2 + 2*i + 18. Determine j(c) + 5*z(c).
-2*c**2 + 2*c + 23
Let c(f) = -2*f**2 + 3*f - 14. Let p(t) = 2*t**2 - 2*t + 13. What is -2*c(m) - 3*p(m)?
-2*m**2 - 11
Let q(p) = p - 1. Let a(c) = -3*c - 20 + 29 - 8. What is -2*a(y) - 5*q(y)?
y + 3
Let t(c) = 1. Let o = -12 + 22. Let j be 6/o*(13 - 3). Suppose -18*x + 13 = -5*x. Let d(p) = p**3 + p**2 - 7. What is j*t(v) + x*d(v)?
v**3 + v**2 - 1
Let u(b) = -6*b**3 - 177*b**2 + 6*b + 3. Let y(h) = 19*h**3 + 531*h**2 - 20*h - 10. What is -10*u(r) - 3*y(r)?
3*r**3 + 177*r**2
Let o(z) = 4*z**3 + 5*z**2 - z + 14. Let h(c) = -3*c**3 - 4*c**2 - 15. What is -3*h(n) - 2*o(n)?
n**3 + 2*n**2 + 2*n + 17
Let r(s) = 14*s**2 - 3*s. Let h(k) = 9*k + 127. Let b be h(-19). Let u(o) = 209*o**2 - 44*o. What is b*r(y) + 3*u(y)?
11*y**2
Let d(r) = -r**2 - r. Let t(o) = 2219 + 7*o**2 + 8*o - 2219. Give 5*d(q) + t(q).
2*q**2 + 3*q
Let r(c) = -2*c**2 + 10*c. Suppose -1309 = 3*o - 1321. Let z(m) = -m**2 + 9*m. What is o*z(a) - 3*r(a)?
2*a**2 + 6*a
Let t(f) = 12*f**2 - 2*f - 2. Let y(l) = -7*l**2 + l + 1. What is -4*t(s) - 7*y(s)?
s**2 + s + 1
Let l(h) = 4*h - 3*h**2 + 84 - 80 - 2*h. Let j(u) = 4*u**2 - 2*u - 5. Let s be ((-6)/(-4) - (-9)/6) + 1. What is s*j(g) + 5*l(g)?
g**2 + 2*g
Let h(a) = 2*a + 7. Suppose 0 = -x - 3*f + 2, -5*x = -4*x + 5*f. Let g be x/(-3)*2*(-9)/5. Let r(u) = u + 4. Determine g*h(n) - 10*r(n).
2*n + 2
Let g(d) = -d - 2. Let u(w) be the third derivative of -1/8*w**4 + 0 - 5/6*w**3 + 0*w - 5*w**2. What is -11*g(b) + 4*u(b)?
-b + 2
Let d(j) = 9*j - 1. Let f(q) = -8*q + 1. Suppose -2*n + 3*i - 5*i + 4 = 0, 2 = -4*n - 2*i. What is n*d(y) - 4*f(y)?
5*y - 1
Let m(o) = -87*o**3 - 2*o**2 - o - 4. Let h(q) = 174*q**3 + 5*q**2 + 3*q + 10. Calculate 2*h(y) + 5*m(y).
-87*y**3 + y
Let c(n) = -45*n - 13. Let f(x) = 6*x + 3. Let k(o) = -c(o) - 6*f(o). Let z(i) be the first derivative of -13*i**2/2 + 7*i - 1. Determine 7*k(m) + 5*z(m).
-2*m
Suppose 4*i + 2*n - 32 = 0, -3*n + 11 + 23 = 4*i. Let d(p) = 22*p - 12*p - i*p - 7*p. Let r(l) = -17*l. Determine -18*d(y) + 4*r(y).
4*y
Let a(k) = 8*k**3 - 