b). What is -6*n(f) + p(f)?
5*f**2 + 2*f
Let d(i) = -692*i**3 + 3*i**2 + 6*i - 6. Let y(s) = 2075*s**3 - 8*s**2 - 16*s + 16. What is 8*d(l) + 3*y(l)?
689*l**3
Let s(r) = -13*r**2 - 160*r + 64. Let b(a) = 3*a**2 + 40*a - 15. Calculate 9*b(t) + 2*s(t).
t**2 + 40*t - 7
Let r(h) = 4*h**2 + 25*h + 42. Let m(j) = -3*j**2 - 16*j - 28. Determine 8*m(i) + 5*r(i).
-4*i**2 - 3*i - 14
Let w(c) = 19*c**3 + 7*c**2 + 17*c + 29. Let u(a) = 9*a**3 + 3*a**2 + 8*a + 13. Determine 13*u(j) - 6*w(j).
3*j**3 - 3*j**2 + 2*j - 5
Let v(p) = -25*p**2 + 3*p + 6. Let b(r) = 38*r**2 - 4*r - 9. Determine 5*b(i) + 8*v(i).
-10*i**2 + 4*i + 3
Let s(q) = -2*q**3 + 2*q**2 + 13*q - 4. Let i(y) = -y**3 + y**2 + y - 1. What is 4*i(r) - s(r)?
-2*r**3 + 2*r**2 - 9*r
Let u(i) = -i + 1. Suppose -n - 5 = 0, 4*n = 3*a - 41 + 9. Suppose -15 = v + a*v. Let r(h) = 4*h. Calculate v*u(l) - r(l).
-l - 3
Let a(c) = -2989*c - 7. Let h(v) = -4487*v - 10. Give -7*a(x) + 5*h(x).
-1512*x - 1
Let f(d) = 17*d**2 - d - 6. Let u(s) = -6*s**2 - s. Give f(i) + 3*u(i).
-i**2 - 4*i - 6
Let n(y) = -5*y + 3. Let q(v) = 7*v + 17. Let s(r) = 4*r + 10. Let w(o) = 3*q(o) - 5*s(o). Determine -n(a) + 4*w(a).
9*a + 1
Let u(l) = -58*l - 4. Let z(m) = 57*m + 3. Determine 6*u(r) + 7*z(r).
51*r - 3
Let u(j) = -1. Let f be (-6 - (-216)/30)*40/6. Let h be (6/f)/(5/20). Let c(a) = 3*a**3 - 2*a - 3. Determine h*u(l) - c(l).
-3*l**3 + 2*l
Let t(b) = 4*b - 143. Let g(s) = -7*s + 285. Determine -3*g(a) - 5*t(a).
a - 140
Let w(q) = -7*q**2 - 6*q - 3. Let b(f) be the second derivative of -5*f**4/3 - 17*f**3/6 - 4*f**2 + 120*f. Determine -4*b(x) + 11*w(x).
3*x**2 + 2*x - 1
Let m(i) = 126*i**2 - 4*i - 2. Let a(o) = -506*o**2 + 18*o + 9. Determine -2*a(h) - 9*m(h).
-122*h**2
Let t(j) = -9*j**3 + 4*j**2 + 6*j - 7. Let s be -14 - (-3 + 21/6)*-2. Let a(v) = -19*v**3 + 9*v**2 + 13*v - 15. Determine s*t(h) + 6*a(h).
3*h**3 + 2*h**2 + 1
Let g(n) = -6*n + 11. Let c(x) = 12*x - 25. Let r(v) = 4*c(v) + 9*g(v). Let u(j) = -j - 1. What is -r(z) + 2*u(z)?
4*z - 1
Let l(f) = -f**3 + 34*f**2. Let q(i) = 2*i**3 - 68*i**2. What is 5*l(n) + 2*q(n)?
-n**3 + 34*n**2
Let k(b) = b. Let q(v) = -v**2 + v. Let s(u) = -u**2 - u - 3. Let g(m) = -m**2 - 1. Let p(x) = -5*g(x) + 3*s(x). Let d be p(3). What is d*q(h) - 5*k(h)?
-5*h**2
Let h(y) = -3*y - 5. Let z(s) = 2*s**3 + 17*s**2 - 8*s + 10. Let g be z(-9). Let k(j) = -1. Calculate g*h(o) - 3*k(o).
-3*o - 2
Let a(j) = 1. Let g(h) = -h + 1. Suppose 8*v - 27 = 13. What is v*a(i) - 2*g(i)?
2*i + 3
Let f(y) = -5*y - 5. Let l(j) = 2*j**2 - 4*j - 1. Suppose 5*a = -v + 14, 2*a - 7*a + 5*v = -20. Let h be l(a). Let d(i) = 6*i + 6. Calculate h*f(g) + 4*d(g).
-g - 1
Let y(x) = 10*x**3 - 12*x**2 - 12*x. Suppose -47*k - 61 = 174. Let n(p) = -p**3 + p**2 + p. Give k*y(w) - 60*n(w).
10*w**3
Let o(w) = -3*w - 1. Suppose z + 9 = 4*z. Suppose -2*b - 2*b = -8, -3*p - z*b + 12 = 0. Let j(a) = 10*a - 2 - 1 + 4 + p. What is 2*j(y) + 7*o(y)?
-y - 1
Let b(h) = -1. Let q(v) = -4*v. Let s(r) = 2*r. Suppose -i - y + 1 = -17, 5*i + 4*y = 85. Let c(n) = i*s(n) + 6*q(n). What is -2*b(x) + c(x)?
2*x + 2
Let c(d) = 4*d + 7*d + 13*d - 15*d + 13. Let s(g) = 6*g + 9. Calculate -5*c(u) + 7*s(u).
-3*u - 2
Let n(m) = -m**3 + 1. Let c(x) = x**3 - 8*x**2 + x - 14. Let q be c(8). Let j(d) = 5*d**3 - 3. What is q*n(r) - 2*j(r)?
-4*r**3
Suppose -2*c = -2 - 2. Let g = c - 1. Let o(q) be the second derivative of -q**3/6 + q**2/2 - 268*q + 5. Let k(b) = 3. Determine g*k(s) - 3*o(s).
3*s
Let q(j) = 7*j**2 + 2*j + 2. Let y(u) = u**2 - 6*u - 6. Let a(v) = -v**2 + 5*v + 5. Let c(g) = 7*a(g) + 6*y(g). Calculate -5*c(z) - q(z).
-2*z**2 + 3*z + 3
Let i be (1 + -8)*(26 + -25). Let j(r) = -3*r**2 - 4*r + 1. Let c(n) = 10*n**2 + 13*n - 3. What is i*j(a) - 2*c(a)?
a**2 + 2*a - 1
Let i(q) = 1 - 2*q - 106*q**2 - 63*q**2 + 170*q**2. Let r(v) = v**2 - v + 1. Determine 4*i(m) - 7*r(m).
-3*m**2 - m - 3
Let x(n) be the second derivative of n**3/3 + 3*n**2/2 + 114*n. Let c(b) = 3*b + 6. Give 3*c(w) - 5*x(w).
-w + 3
Let c be -9 + 2 - -6 - 2. Let i(l) = 2*l + 3. Let u(n) = -n - 1. Calculate c*u(q) - i(q).
q
Let q = 929 + -933. Let h(b) be the second derivative of b**3/2 + 5*b**2/2 + b. Let f(g) = -5*g - 9. Calculate q*f(k) - 7*h(k).
-k + 1
Let b be ((-18)/(-36))/(3/6). Suppose -3*y = -2 + 5. Let q(r) = r - 2. Let c(z) = -z - 3*z + 3*z - 1. Give b*q(k) + y*c(k).
2*k - 1
Let m(u) = 2*u**3 - u**2 - u - 1. Let x(d) = -7*d**3 - 8*d**2 - 3*d + 2. Calculate -2*m(g) - x(g).
3*g**3 + 10*g**2 + 5*g
Let l(z) be the first derivative of -9*z**2/2 - 9*z + 472. Let w(q) = -q**2 + q + 1. Give -2*l(x) - 18*w(x).
18*x**2
Let y(x) = x**3 - x**2 - 1. Let w(p) = 4*p**3 - 5*p**2 - p + 17. Calculate -w(z) + 5*y(z).
z**3 + z - 22
Let w(u) = 770*u - 13. Let m(l) = 192*l - 3. Give -9*m(j) + 2*w(j).
-188*j + 1
Let k(g) = 97*g + 4. Let q(n) = -17556*n - 726. Determine 363*k(u) + 2*q(u).
99*u
Let n(v) = 0 - 5 - v + 4. Let q(s) be the second derivative of -2*s**3/3 - 2*s**2 - s - 2. Let o be (-16)/10 - (-9)/15. Determine o*q(u) + 6*n(u).
-2*u - 2
Let n(v) = 129*v**3 + 6*v**2 - 10*v. Let o(g) = -2*g**3 + g**2 - g. What is -n(y) + 6*o(y)?
-141*y**3 + 4*y
Let r(k) = -5*k + 4. Let f(b) = 13*b + 1. Let d(v) = 11*v + 1. Let q(y) = 7*d(y) - 6*f(y). Suppose -7*h + 2*h + 15 = 0. What is h*r(x) - 12*q(x)?
-3*x
Let u(d) = -4*d**2 + 2. Suppose -1 = -r + 2*r. Let y(l) = 3*l**2 - 22*l + 8. Let v(f) = -f**2 + 8*f - 3. Let q(m) = 11*v(m) + 4*y(m). Give r*u(h) - 2*q(h).
2*h**2
Let l = -849 + 850. Let p(q) = q - 8. Let f(v) = -1. Determine l*p(j) - 4*f(j).
j - 4
Let a(o) = -5*o - 2. Let w(m) = m**2 + m. Let p(s) = -s**2 - 6*s - 1. Let q = 30 + -31. Let j(t) = q*p(t) - 2*w(t). Calculate -2*a(x) - 3*j(x).
3*x**2 - 2*x + 1
Let d(t) = 1 - 87*t + 25*t + t**2 + 26*t + 36*t. Let v = 6 - 4. Let u(n) = 4*n**2 - n. Calculate v*d(x) - u(x).
-2*x**2 + x + 2
Let d(s) = 6*s**2 - 3*s - 3. Let o(j) = -7*j**2 + 4*j + 4. Let r = 5 + -1. Suppose -5*i + c = -4 - 6, -2*i + c + 1 = 0. Determine i*o(v) + r*d(v).
3*v**2
Let u(o) = -o**2 - o + 1. Let m(r) = -7*r**2 - 52*r + 6. Calculate m(h) - 6*u(h).
-h**2 - 46*h
Suppose -4*z + 2 = -2*a, 2 = -4*a + 22. Let x(p) = -6*p - 7*p**2 - 9 - z + 12. Let l = 7 - 6. Let u(c) = c**2 + c. What is l*x(o) + 6*u(o)?
-o**2
Let k(c) = 38*c**2 - 2*c - 2. Let b(t) = 77*t**2 - 5*t - 4. Give 2*b(o) - 5*k(o).
-36*o**2 + 2
Let m = -32 + 15. Let n(c) = -c - 20. Let g be n(m). Let t(j) = 2*j - 3*j + 2*j. Let p(s) = -2*s. Calculate g*p(u) - 4*t(u).
2*u
Let k(g) = 2308*g**3 - g**2 - 2305*g**3 - g**2 - 2*g + 5 - g. Let y(p) = 3*p**3 - 2*p**2 - 4*p + 6. What is -6*k(q) + 5*y(q)?
-3*q**3 + 2*q**2 - 2*q
Let k(d) = -17*d + 10 - d + 2. Let x(i) = -9*i + 5 + 15*i - 8 + 4 - 7*i. What is -k(b) + 12*x(b)?
6*b
Let k(t) = t**3 + 2. Let s(v) = 7*v**3 - 2*v**2 + 1. Calculate 3*k(z) - s(z).
-4*z**3 + 2*z**2 + 5
Let h(a) be the first derivative of a**2 - 6*a + 4. Let o(p) = -p + 5. Let m(t) = -3*t + 14. Let z(y) = 2*m(y) - 5*o(y). Calculate -3*h(w) - 7*z(w).
w - 3
Let c(g) = g**2 + 2*g + 1. Let u(o) = -o**2. Suppose 0 = -9*h - h + 30. Suppose 3*k - 4*k - 2 = j, -9 = h*j + 4*k. Give j*u(n) - c(n).
-2*n**2 - 2*n - 1
Let w(n) = -536*n**2. Let k(u) = 175539*u**2. Determine -5*k(x) - 1638*w(x).
273*x**2
Let l(q) = -4*q**2 + 16*q - 9. Let g = -191 + 200. Let x(m) = m**2 - 4*m + 2. Calculate g*x(u) + 2*l(u).
u**2 - 4*u
Let z(a) = -25*a**3 - 30*a**2 + 30*a - 30. Suppose 11*b = 320 + 791. Suppose -3*i + 11 = b. Let m(p) = p**3 + p**2 - p + 1. Give i*m(v) - z(v).
-5*v**3
Let m(c) = 437*c - 6. Let n(d) = 442*d - 5. Give -5*m(r) + 6*n(r).
467*r
Suppose -3*f = k - 4 + 15, -3*k - 13 = 5*f. Suppose -k*a + 3 = -1. Let y(j) = j + 1. Let n(r) = 3*r + 4. Calculate a*n(c) - 4*y(c).
-c
Let w(r) = 15*r - 9. Let o be (0 + 1)/((-7)/(-91)). Let c = o - 10. Let v(d) = -5 - d + 5*d + d + c*d. Determine 11*v(t) - 6*w(t).
-2*t - 1
Let g(p) = p**3 - 15*p**2 + 59*p - 37. Let b be g(6). Let l(s) = -9*s**2 - 8*s + 19. Let j(a) = 8*a**2 + 7*a - 18. Calculate b*j(v) - 6*l(v).
-2*v**2 - v + 12
Let n(x) = -x. Let j(k) = -1. Let a(h) = 5*h + 4. Let r(t) = a(t) + 6*j(t). Calculate -4*n(o) - r(o).
-o + 2
Let w(s) be the third derivative of s**5/60 - s**3/6 + 2*s**2. Suppose 24 - 19 = 5*p. Let x(o) = 2*o**3 + 2*o**2 - 3. Give p*x(t) - 3*w(t).
2*t**3 - t**2
Suppose -2 = -t