h + 1
Let t(w) = 6*w**3 + 8*w**2 + 4. Let q(u) = -u**3 + u**2 - 1. Calculate -4*q(p) - t(p).
-2*p**3 - 12*p**2
Let n(v) = -168*v**2 + 126*v + 126. Let u(g) = -g**2 + g + 1. What is n(y) - 126*u(y)?
-42*y**2
Let p = -4 - -8. Suppose 8 = 2*u - 5*s, -3*s - p = -u - 0*u. Let w(t) = t**2 + 4*t + 4. Let z = -10 - -3. Let a(c) = 2*c**2 + 7*c + 7. What is u*a(b) + z*w(b)?
b**2
Let j(c) = c + 10. Let r(o) = 1. Determine -j(y) + 6*r(y).
-y - 4
Let f(g) = 9*g**2 + 9*g - 7. Let d(o) = -10*o**2 - 9*o + 8. Let l(z) = 6*d(z) + 5*f(z). Let u(b) = 7*b**2 + 4*b - 6. Determine -6*l(q) - 13*u(q).
-q**2 + 2*q
Let t(n) = 5*n**2 + 4*n**3 + 349*n - 349*n - 6. Let m(r) = -5*r**2 - 3*r**3 + 8 + r**2 - 3. Give 5*m(d) + 4*t(d).
d**3 + 1
Let n(v) = -1. Let d(x) = x - 7. Give -d(k) + 3*n(k).
-k + 4
Let i(q) = -1. Let l(d) be the second derivative of -d**7/1260 + d**5/30 + d**4/4 - d. Let c(m) be the third derivative of l(m). What is c(k) + 4*i(k)?
-2*k**2
Let v(j) = 42*j**3 + 5*j + 5. Let u(n) = 21*n**3 + 2*n + 2. Determine 5*u(w) - 2*v(w).
21*w**3
Let s(w) = 2*w + 2. Suppose t = -2*t - 4*f + 44, -t = -3*f - 6. Let i be (-40)/t + 3/9. Let d(c) = 2*c + 2. Determine i*s(a) + 2*d(a).
-2*a - 2
Let f(a) = -2*a**3 + 1. Suppose 0 = 4*m - 11 - 5. Suppose -2*g - 3*b + 22 = 2*g, m*g + 4*b = 24. Let j(o) = 2*o**3 - 2. Calculate g*f(r) + 3*j(r).
-2*r**3 - 2
Let x(m) = -6*m**3 - 3*m. Let p(v) = 7*v**3 + 4*v. Let z = -23 - -17. Give z*x(k) - 5*p(k).
k**3 - 2*k
Let o(p) = p**2 - 6. Let w(t) = 1. Let h be (-7 + 11)/(-2 - 0). Let s(c) = -3*c + 8. Let j be s(6). Give h*o(u) + j*w(u).
-2*u**2 + 2
Let j(d) = -d**3 - 1. Suppose 28 = 6*w + 64. Let t(x) = 8*x**3 - 2*x + 6. Determine w*j(k) - t(k).
-2*k**3 + 2*k
Let f(k) = 10*k**2 - 5*k + 7. Let u(s) = -3*s + 4. Let o(b) = b**2 + 3*b - 4. Let a(j) = 5*o(j) + 6*u(j). Calculate 5*a(l) - 3*f(l).
-5*l**2 - 1
Let o(m) = -3*m. Let n(s) = -4*s. Suppose 4*g - 2*x + 16 = 2*x, -2*g = -5*x + 5. Calculate g*o(p) + 4*n(p).
-p
Let h(j) = -4*j - 2*j + 4*j**2 + 2*j + 8*j + 10*j**3. Let m(d) = -9*d**3 - 3*d**2 - 3*d. Give -3*h(t) - 4*m(t).
6*t**3
Let j(s) = s**2. Let p(t) = 5*t**2 - t - 5. What is -3*j(w) + p(w)?
2*w**2 - w - 5
Let t(c) = -2*c. Let p(b) = 5*b. Let l be 2/10 + 2/(-10). Suppose l = -5*r + 7 + 8. What is r*p(s) + 8*t(s)?
-s
Let p(r) = -10*r**2 + 7*r - 4. Let x(g) = -21*g**2 + 15*g - 9. Determine 13*p(m) - 6*x(m).
-4*m**2 + m + 2
Let i(m) = 41*m - 2. Let g(j) = -20*j + 1. Give 13*g(z) + 6*i(z).
-14*z + 1
Let x(b) = -2*b - 2. Let c be (-8)/(-10)*(1 - -4). Suppose -5*r + 33 = 2*f, -4*r + 14 + 2 = -f. Let s(j) = -j + 7 - 4 + f*j. Determine c*s(d) + 7*x(d).
-2*d - 2
Let g(t) = -t**3 + t**2 - t - 1. Let j be 54/(-15) - (-4)/(-10). Let d be (j/(-6))/(4/(-6)). Let v(s) = 2*s**3 - s**2 + s + 1. Determine d*g(f) - v(f).
-f**3
Suppose -2 = -l + 3. Let p(j) = 2*j**3 - 5*j - 1. Let u(z) = -z**3 + 3*z + 1. Determine l*u(m) + 3*p(m).
m**3 + 2
Let q(x) = x - 2. Let y(k) = -3*k + 6. Let a be (-3)/(-6) - 14/(-4). Determine a*y(b) + 11*q(b).
-b + 2
Let k(p) = 2*p - 6. Let u(s) = -s + 6. What is 4*k(b) + 3*u(b)?
5*b - 6
Suppose 2*x - 2 = -0*x. Let v(q) = -q - 1. Let b(n) = n**3 - 1. Determine x*b(o) + v(o).
o**3 - o - 2
Let r(x) = 12*x**3 + 3*x + 3. Let p(c) = -c**3 - c - 1. Determine 3*p(d) + r(d).
9*d**3
Let x(r) = -1 + 13*r + 1 + 2 - 3. Let q(g) = -6*g. Determine -5*q(y) - 2*x(y).
4*y + 2
Let h(z) = 14*z**3 + 4*z - 4. Let r(l) = -l**3 + l - 1. Calculate h(y) - 5*r(y).
19*y**3 - y + 1
Let s = -2 - -3. Let u(y) be the third derivative of 7*y**6/120 - y**3 - y**2. Let h(d) = -3*d**2 + 1 + 0*d**2 - d**3 + 3*d**2. What is s*u(x) + 6*h(x)?
x**3
Let w(a) = a**2 + 3*a - 3. Let o(d) = -27*d + 69*d - 21*d - 22*d. Calculate 2*o(h) + w(h).
h**2 + h - 3
Suppose u + 3 - 17 = -2*y, -2*u = -4*y - 44. Suppose u = -4*t - k, -5*t - 28 = k - 6. Let w(l) = l - 5. Let f(v) = v - 4. Calculate t*f(a) + 3*w(a).
-a + 1
Let v = -13 + 6. Let h(m) = -2*m**2 - 6*m + 6. Let j(z) = -2*z**2 - 10*z + 7. Let n(t) = t. Let s(l) = -j(l) - 3*n(l). What is v*h(g) - 6*s(g)?
2*g**2
Let a(v) = v**3 - v**2 - v + 1. Let d(r) = -10*r**3 - r**2 - r + 1. Calculate a(k) - d(k).
11*k**3
Let b(m) = 189*m**3 + 77*m**2 + 77*m. Let u(a) = -5*a**3 - 2*a**2 - 2*a. What is -4*b(g) - 154*u(g)?
14*g**3
Let z(j) = 6 - 7 - 2 + j. Let m = 3 - 8. Let c(o) = o - 4. Determine m*z(n) + 4*c(n).
-n - 1
Let s(w) = -5*w + 4. Let q(k) = 5*k - 5. Calculate -3*q(b) - 4*s(b).
5*b - 1
Let t(b) = -9*b**2 - 3*b + 7. Let y(g) = -8*g**2 - 2*g + 6. What is -2*t(v) + 3*y(v)?
-6*v**2 + 4
Let o(y) = 2*y - 1. Let s(r) = r - 1. What is -o(v) + 5*s(v)?
3*v - 4
Let o be (-8)/(-28) - 102/14. Let r = o - -2. Let k(d) = 7*d**3 - 6*d**2 + 5*d + 1. Let z(s) = -8*s**3 + 7*s**2 - 6*s - 1. Give r*z(w) - 6*k(w).
-2*w**3 + w**2 - 1
Let o(i) = 16*i + 3. Let h(c) = 31*c + 7. Determine -3*h(a) + 7*o(a).
19*a
Let n(s) = 4*s**2 + 10*s + 47. Let t(j) = 3*j**2 + 7*j + 31. Give 5*n(x) - 7*t(x).
-x**2 + x + 18
Let d(i) be the second derivative of i**5/5 - 7*i**4/12 + i**3/3 + i**2/2 - 2*i + 14. Let j(m) = 5*m**3 - 8*m**2 + 3*m + 2. Give -3*d(v) + 2*j(v).
-2*v**3 + 5*v**2 + 1
Let w = 3 - 6. Let k(u) = -2*u - 2. Suppose -22*i - 20 = 4*s - 18*i, 3*s + i = -21. Let b(c) = 5*c + 5. Calculate s*k(p) + w*b(p).
p + 1
Let f(o) = 4*o + 11. Let t(p) be the third derivative of -p**4/24 - p**3/3 - 48*p**2. What is 4*f(i) + 22*t(i)?
-6*i
Let b(o) = -9*o**3 - 7. Let q(d) = 5*d**3 + 4. Let v(m) = 4*m - 2. Let s be v(2). What is s*b(h) + 11*q(h)?
h**3 + 2
Suppose 0 = 4*d - 9 - 15. Let v(c) = -5 - 4*c + d*c - 3*c - 2. Let j be v(-8). Let y(m) = -m**2 + m. Let h(n) = 8*n**2 - 6*n - 1. Give j*h(z) + 6*y(z).
2*z**2 - 1
Let p = -8 - -3. Let u(i) = 4*i**2 - 5*i - 5. Let j(r) = -3*r**2 + 4*r + 4. Give p*j(x) - 4*u(x).
-x**2
Let r = -50 + 51. Let j = -10 - -2. Let a be (-1 - -3)*(-4)/j. Let s(i) = -i**3 + 1. Let z(x) = -x - 3. Calculate a*s(o) + r*z(o).
-o**3 - o - 2
Let d(n) = 40*n**2 - 20*n. Let t(w) = -w**2 + w. Calculate -d(z) - 20*t(z).
-20*z**2
Let q(h) = -6*h**2 + 5. Suppose -2*x - 1 - 9 = 0. Let d be 6/3 + 0 + 4. Let c(v) = -7*v**2 + 6. Determine d*q(m) + x*c(m).
-m**2
Let t(g) = g + 17. Let h be t(-12). Let x be ((-12)/16)/((-2)/8). Let n(v) = 4*v - x*v - 2*v - 2*v. Let r(z) = z. Determine h*r(d) + 2*n(d).
-d
Let p(v) = 7*v**2 + 2*v - 6. Let d(m) = -m**2 - 7*m**2 - 1 + 6 + 2*m**2 - 2*m. Determine -4*d(g) - 3*p(g).
3*g**2 + 2*g - 2
Let b(z) = 5*z - 4*z - 1 + z. Let n(s) = -2*s + 1. Let r = -6 - -1. Let l = 1 - 7. Determine l*n(u) + r*b(u).
2*u - 1
Let x(l) = -l**3 + 3*l**2 + 5. Let y(f) = f**2 + 1. Give -x(d) + 2*y(d).
d**3 - d**2 - 3
Let v(j) = -j. Suppose 0 = -0*r - 4*r + l - 4, -4*r - 2*l = 16. Let w be 2/(-8) + (-1)/(-4). Let y(b) = w + 5 - 3. Determine r*v(t) + y(t).
2*t + 2
Let r(z) = 2*z. Let u = -2 + 3. Let j be r(u). Let l(c) = -2*c**3 - 3*c**2 + 3*c**2 - j*c**3 + 2*c. Let y(p) = -p**3 - p**2 + p. Calculate l(i) - 2*y(i).
-2*i**3 + 2*i**2
Let g(t) = 29*t**2 - 2. Let u(y) = y**2 - 1. Give g(n) - 2*u(n).
27*n**2
Let j(q) = -4*q - 4. Let x(z) be the third derivative of z**4/8 + z**3/2 - 6*z**2. Calculate -2*j(f) - 3*x(f).
-f - 1
Let k(b) = 11*b + 3. Let o(c) = 32*c + 8. Calculate 17*k(m) - 6*o(m).
-5*m + 3
Let d(a) = 3*a**2 - 3*a - 1. Let u(i) = 8*i**2 - 8*i - 3. Let j(n) = -11*d(n) + 4*u(n). Let b(h) = -8*h**2 + 8*h - 5. Calculate b(m) - 6*j(m).
-2*m**2 + 2*m + 1
Suppose 5*m + 4*y + 24 = m, 3*y = 2*m + 2. Let r(d) = -2*d - 3. Let b(o) = -o - 2. Calculate m*r(f) + 5*b(f).
3*f + 2
Let l(t) be the third derivative of -t**5/60 + t**4/24 - t**3/6 + 4*t**2. Let v(y) = -3*y**2 + 6*y - 3. Determine 4*l(b) - v(b).
-b**2 - 2*b - 1
Let n(t) = 0*t - 3*t - 2 - 8*t. Let p(q) = -q**2 + 8*q + 1. Let k be p(7). Suppose -2*h + k = -0*h. Let z(b) = 5*b + 1. Determine h*n(d) + 9*z(d).
d + 1
Let k(t) = t**2 - t + 1. Let y be k(0). Let o(s) = 2*s. Let m(p) = -1 - 1 + 1. What is y*m(a) + o(a)?
2*a - 1
Let p(n) = 11*n + 7. Let q(d) = -6*d - 3. Let h(r) = 4*p(r) + 7*q(r). Let s(a) = -2*a - 8. Let b be s(-6). Let v(k) = -k - 1 + 1 - 3. Give b*h(x) + 10*v(x).
-2*x - 2
Let c(b) = -1. Let u = 3 - -3. Let o(a) = -a + 8. Calculate u*c(j) + o(j).
-j + 2
Let v(w) = w**2 - w - 1. Let u(i) = -2*i**3 + 7*i**2 - 11*i - 6. Let s(n) = -u(n) + 6*v(n). Let b(a) = -3*a**3 + 2*a**2 - 8*a. What is -5*b(j) - 8*s(j)?
-