- 6. Calculate 11*r(l) - 6*x(l).
-l**2 + 3
Let h(v) = -4 - 6*v + 6*v**2 + 15*v**2 - 13*v**2 + 10. Let x(b) = b**2 - b + 1. Determine h(f) - 6*x(f).
2*f**2
Let w(n) be the third derivative of n**5/15 + n**4/12 - n**3/3 - 10*n**2. Let t(k) = -3*k**2 - 2*k + 2. Calculate -3*t(h) - 2*w(h).
h**2 + 2*h - 2
Let d(q) = -4*q**3. Let a(j) = j**3. What is -12*a(r) - 2*d(r)?
-4*r**3
Let y(v) = -v**3 + v**2 - v. Let w(h) = 6*h**3 - 7*h**2 + 5*h - 1. Let s(j) = j + 2. Let c be s(3). Suppose -c = 4*p - 1. Determine p*w(a) - 5*y(a).
-a**3 + 2*a**2 + 1
Let b(r) = 2*r + 3. Let w(z) = -5*z - 7. Suppose -2*s - 92 = -0*s. Let u(c) = -4*c - 8. Let k be u(-10). Let m = s + k. What is m*b(g) - 6*w(g)?
2*g
Let u(i) = -3*i + 3. Let v(b) = -2*b + 1 - 2 + 3 + b**2. Calculate -2*u(z) + 3*v(z).
3*z**2
Let w be (-8)/14 - (-44)/28. Let i(m) = -m. Let p(y) = 2*y**2 + 6*y - 2. Calculate w*p(s) + 4*i(s).
2*s**2 + 2*s - 2
Let b(w) = -w**3 + 3*w**2 + 4*w + 4. Let l = 25 - 21. Let t(k) = 4*k**2 + 5*k + 5. Give l*t(u) - 5*b(u).
5*u**3 + u**2
Let v(y) = -2*y**2 + 2*y + 2. Let i(l) = -10*l**2 + 10*l + 11. Give 2*i(d) - 11*v(d).
2*d**2 - 2*d
Let r(p) = -p + 3. Let f(i) = 3*i - 5. What is 2*f(g) + 5*r(g)?
g + 5
Let w(u) = -7*u + 3*u + 3*u. Let p(o) = o - 42 + 42. What is 5*p(i) + 6*w(i)?
-i
Suppose 0 = -3*v + v - 4*l + 18, 3*v + 9 = 3*l. Let m(q) be the second derivative of -q**3/6 - 2*q**2 + 2*q. Let i(k) = -1. Determine v*m(b) - 6*i(b).
-b + 2
Let g(u) = -u**2 + 1. Let p(y) = 5*y**2 + y - 5. Give -6*g(f) - p(f).
f**2 - f - 1
Let y(o) = -2*o**3 - 2*o**2. Let a(b) = b**2. Let f(r) = 6*r - 61. Let i be f(10). Give i*y(k) - a(k).
2*k**3 + k**2
Let q(h) = -h**3 + 2*h**2 - 2*h. Let v(k) = -k**2 - k - 1. Let m(p) = -2*p**3 + 5*p**2 + 3. Let f(g) = m(g) + 2*v(g). Calculate 2*f(x) - 3*q(x).
-x**3 + 2*x + 2
Let s(d) = 4*d + 4. Let k(g) = g - 4*g + 2*g - 1. Let o(l) = 3*l**3 - 5*l**2 + 7*l - 3. Let f be o(1). Give f*s(a) + 6*k(a).
2*a + 2
Let c(r) = 1. Let x(d) = 1 - 5*d + d + 8*d. Let u(g) = -4*c(g) - x(g). Let p(v) = 1. Let j(n) = -n + 3. Let q(a) = j(a) - 4*p(a). Give -6*q(s) + u(s).
2*s + 1
Let s(g) = 4*g + 3 + 4 - 3 - 1. Suppose -2*w + 17 = -35. Suppose -j - 4*h = w, 3*h + 14 = -1. Let u(c) = 23*c + 17. What is j*u(y) + 34*s(y)?
-2*y
Let b = -9 + 13. Let a(l) = -3 + l + 2*l**2 - b*l**2 - 4*l. Suppose 5*j - 4*v = 57, 5*v = 3*j - 8 - 34. Let c(r) = -5*r**2 - 7*r - 7. Determine j*a(p) - 4*c(p).
2*p**2 + p + 1
Suppose 0 = 5*j + y - 17, -5*y - 3 - 20 = -2*j. Let i = -10 + 1. Let o(k) = -k - 2. Let q(c) = -2*c - 5. Determine i*o(w) + j*q(w).
w - 2
Let r(u) = u**2 + u. Let w(n) = -10*n**2 - 6*n + 1. Give -6*r(t) - w(t).
4*t**2 - 1
Let j(g) be the third derivative of g**4/24 + g**3/2 + g**2. Let q be j(-5). Let b(s) = 3*s**2 + 2*s + 2. Let x(t) = t**2. Determine q*x(n) + b(n).
n**2 + 2*n + 2
Let g(k) = 101*k. Let q(i) = -6566*i. Give -196*g(d) - 3*q(d).
-98*d
Let d(y) be the first derivative of y**3/3 - 7. Let h(o) = 4*o**2. What is 21*d(b) - 6*h(b)?
-3*b**2
Let g(l) = l**2 + l + 6. Let a(w) = w**2 + 4*w + 7. Let q(y) = 2*y**2 + 7*y + 13. Let s(j) = -5*a(j) + 3*q(j). What is -5*g(f) + 7*s(f)?
2*f**2 + 2*f - 2
Let z(h) = 25*h**3 + 14*h**2 + 8*h + 8. Let o(u) = 8*u**3 + 5*u**2 + 3*u + 3. Determine -8*o(a) + 3*z(a).
11*a**3 + 2*a**2
Let j(c) = 8*c**3 - 4*c**2 - 6*c + 6. Let d(q) = -7*q**3 + 3*q**2 + 5*q - 5. Calculate -6*d(g) - 5*j(g).
2*g**3 + 2*g**2
Let n(z) = -z**2 - z + 2. Let o(f) = 1. Let g(v) = n(v) - 2*o(v). Suppose 5*s - 16 + 21 = 0. Let r(t) = -4*t**2 - 4*t + 2. What is s*r(k) + 2*g(k)?
2*k**2 + 2*k - 2
Let n(x) = -2*x - 10. Let w(t) = -t + 1. Determine n(k) - 3*w(k).
k - 13
Let w(o) = -77*o - 10. Let j(r) = 10086*r + 1312. Calculate 5*j(k) + 656*w(k).
-82*k
Let x(v) = 4*v - 1. Let r(b) = -3*b + 1. What is 7*r(s) + 6*x(s)?
3*s + 1
Let q(z) = -4*z**2 + 5*z - 1. Let y be (-2 - 1)*105/45. Let g be (-80)/(-56) + 3/y. Let t(r) = r**2 - r. Give g*q(i) + 6*t(i).
2*i**2 - i - 1
Let j(v) = -9*v + 1. Let o(l) = -13*l + 1. What is -7*j(c) + 5*o(c)?
-2*c - 2
Let w(l) = l**3 - l**2 - l - 1. Let x be w(-2). Let f(p) = -6*p**2 + p + 2. Let z(g) = -17*g**2 + 3*g + 5. Give x*f(t) + 4*z(t).
-2*t**2 + t - 2
Let l(a) = a**3 + 9*a**2 + 4. Let c(i) = 5*i**2 + 2. Suppose -5*m + 20 = -m. Determine m*c(t) - 3*l(t).
-3*t**3 - 2*t**2 - 2
Let o(y) = -y - 4. Let x(w) = -4*w - 19. Let p(i) = -2*i - 9. Let k(m) = 5*p(m) - 2*x(m). Give 4*k(b) - 7*o(b).
-b
Let t(p) = 351*p**3 - 65*p**2 - 65*p - 65. Let c(z) = -16*z**3 + 3*z**2 + 3*z + 3. Calculate 65*c(l) + 3*t(l).
13*l**3
Let t(j) = -4*j + 2. Let o(b) be the third derivative of 5*b**4/24 - b**3/3 + 8*b**2. Calculate 5*o(h) + 6*t(h).
h + 2
Let k(d) = -5*d**3 + 6*d - 3. Let i(j) = -4*j**3 + 5*j - 2. Let r = -9 - -9. Suppose 2 = q - r*q. What is q*k(n) - 3*i(n)?
2*n**3 - 3*n
Let u(h) = 9*h**3 + 2*h**2 + 2*h - 2. Let x(z) = -18*z**3 - 5*z**2 - 4*z + 5. Calculate 5*u(t) + 2*x(t).
9*t**3 + 2*t
Let x = -1 - -9. Let i(r) = 3*r**2 + 3*r - 3. Let q(c) = 10*c**2 + 9*c - 9. Let b(n) = 7*i(n) - 2*q(n). Let j(y) = -3*y**2 - 8*y + 8. Calculate x*b(v) + 3*j(v).
-v**2
Let v(c) = c - 1. Let h(t) = -15*t + 7. Determine h(r) + 6*v(r).
-9*r + 1
Let t(a) = -4 - 7 + 10. Let s(r) = r**2 - 7. Give -4*s(i) + 28*t(i).
-4*i**2
Let d(t) = -4*t. Let j(f) = 2*f - 4*f + f + 2*f. Let m be (18/(-15))/(2/(-5)). What is m*j(p) + d(p)?
-p
Let s(r) = 26*r + 21. Let h = -30 + 28. Let a(z) = -5*z - 4. Determine h*s(c) - 11*a(c).
3*c + 2
Let a(f) be the second derivative of 17*f**3/6 - 13*f**2/2 - f. Let p(o) = 4*o - 3. Let v be (8/(-6))/(8/12). Give v*a(h) + 9*p(h).
2*h - 1
Let p(m) = -m. Let n(f) = 5*f. What is -n(j) - 6*p(j)?
j
Let x(p) = -p + 2. Let z(d) = 2*d - 4. Let o = -27 - -40. Suppose h + 0*h - o = 0. Calculate h*x(c) + 6*z(c).
-c + 2
Let s(y) = y**3 - y**2 - y - 1. Let t(h) = 7*h**3 - 5*h**2 - 6*h - 5. Let c(z) = 6*s(z) - t(z). Let l(x) = x**3 - x**2. Determine c(f) - l(f).
-2*f**3 - 1
Let j(s) = -2*s + 2. Let q(r) = -3 + 16*r - 15*r + 3 - 1. What is -5*j(c) - 8*q(c)?
2*c - 2
Let t(w) be the third derivative of w**5/15 - w**4/6 - w**3/6 - w**2. Let y(j) = -7*j - 1 + 7*j**2 - 1 + 0 + 0. Determine -11*t(h) + 6*y(h).
-2*h**2 + 2*h - 1
Let n(s) = -s - 7. Let g(d) = 1. Let x = -3 - -9. Give x*g(k) + n(k).
-k - 1
Let w(r) = 4*r**2 + 6*r + 2. Let t(f) = -5*f**2 - 7*f - 3. Give -2*t(i) - 3*w(i).
-2*i**2 - 4*i
Suppose 3*j = 6*j - 39. Let z(i) = 1 - 6*i + j - 3. Let x = 31 - -3. Let r(u) = u - 2. Give x*r(k) + 6*z(k).
-2*k - 2
Let u(l) = 2*l**2 + l - 2. Let n be 50/(-10)*2/5. Let v be n/(-1 + 3/9). Let h(d) = d - 1. Determine v*h(t) - u(t).
-2*t**2 + 2*t - 1
Let w(n) = 2*n**3 + 5*n**2 + 5*n + 3. Let k(b) = 2*b**3 + 6*b**2 + 6*b + 2. Calculate -5*k(u) + 6*w(u).
2*u**3 + 8
Let l = -17 + 12. Let a(x) = 4*x. Let c(h) be the first derivative of 9*h**2/2 - 2. Give l*a(y) + 2*c(y).
-2*y
Let r(p) = -p**2 + 2*p + 7. Let u(s) = -s**2 + 2*s + 7. Determine 5*r(y) - 4*u(y).
-y**2 + 2*y + 7
Let d(z) = -6*z + 16. Let o(c) = -2*c + 5. What is -3*d(y) + 10*o(y)?
-2*y + 2
Suppose 55 = -219*s + 224*s. Let y = -15 + 9. Let j(q) = q - 1. Let z(k) = 2*k - 2. Determine s*j(f) + y*z(f).
-f + 1
Let l(t) = 6*t**3 - 5*t**2 + 2*t + 5. Let i(q) = 3*q**3 - 2*q**2 + q + 2. What is -5*i(z) + 2*l(z)?
-3*z**3 - z
Let k(r) = 2*r - 6. Let p(u) = 5. Let s(y) = y + 10. Let v(b) = 5*p(b) - 2*s(b). Give -4*k(j) - 5*v(j).
2*j - 1
Let f(c) = -4*c**3 + 3*c**2 - 3*c - 2. Let u(w) be the second derivative of -w**5/20 + w**4/12 - w**3/6 - 17*w. What is -f(o) + 3*u(o)?
o**3 + 2
Let p(g) be the first derivative of -g + 1. Let m(w) = w**2 + 4*w - 16. Let f be m(-7). Let s(h) = 2*h - 5. Give f*p(o) - s(o).
-2*o
Let u(m) = -7. Let d(r) = r + 1. Let o(h) = -3*d(h) - u(h). Suppose 4*i = -n - 9, -4*i + 25 = 3*n - 5*i. Let x(s) = 10*s - 13. Give n*o(c) + 2*x(c).
-c + 2
Let r(v) = -3*v + 3. Let y = 12 - 5. Let t(d) be the third derivative of d**4/4 - 7*d**3/6 - 13*d**2. What is y*r(u) + 3*t(u)?
-3*u
Let f(p) = -2*p**3 + p**2 - p + 1. Let k(m) = -m**2 + m - 1. Let j = -6 + 5. Calculate j*k(t) - f(t).
2*t**3
Let d(z) = 2*z. Let l(c) be the third derivative of -c**4/24 - c**3/6 - 5*c**2. Let h(p) = -8*p - 7. Let v(q) = h(q) - 6*l(q). Give 3*d(g) + 2*v(g).
2*g - 2
Let x(t) = -2*t**2 + 4*t - 3. Let b be x(1). Let z(u) = u**3 - u. Let o(y) = -4*y**3 + y**2 + 3*y. De