- 14*w**3. Give o*s(f) + 8*g(f).
-2*f**3 + 2*f**2
Let h(z) = -6*z**2 + 4*z + 10. Let y(k) = 2*k - 11. Let o be y(7). Let n(v) = -2*v**2 + v + 3. Determine o*h(a) - 10*n(a).
2*a**2 + 2*a
Let z(j) = -3*j**2 + 4*j + 3. Let b(t) = -2*t**2 + 3*t + 2. Let k = 3 + 0. Suppose -3*d = k*y - 0*y + 6, -7 = 2*y - d. Calculate y*z(i) + 4*b(i).
i**2 - 1
Let h(r) = r**3 + 3*r**2 - 2. Let d(m) = m**3 + 4*m**2 - 3. Give -3*d(w) + 4*h(w).
w**3 + 1
Let g(z) = -13*z**3 - 4*z**2 - 11*z - 13. Let f(a) = -7*a**3 - 2*a**2 - 6*a - 7. Suppose 6*y - 3*y + 13 = o, 4*o = -2*y - 32. Calculate y*g(t) + 11*f(t).
t**3 + 2*t**2 + 1
Let h(k) = -44*k**2 - 5*k + 5. Let p(j) = -j**2 + j - 1. What is h(v) + 5*p(v)?
-49*v**2
Let w(k) = -4*k**3 + 8*k + 2. Let n(q) = -q**3 - 6*q**2 + 9*q + 10. Let i(l) = 7*l**2 - 8*l - 11. Let a(o) = -6*i(o) - 7*n(o). Calculate 6*a(j) + 11*w(j).
-2*j**3 - 2*j - 2
Let i(p) = 2*p**2 - 23*p + 44. Let b(z) = -z**2 + 8*z - 15. Give 17*b(r) + 6*i(r).
-5*r**2 - 2*r + 9
Let w(r) = -r**2 + r - 1. Let o(a) = 2*a**2 - a + 7. Give o(i) + 3*w(i).
-i**2 + 2*i + 4
Let z(d) = -15*d + 25. Let j(v) be the first derivative of v**2 - 3*v - 56. Determine -25*j(w) - 3*z(w).
-5*w
Let a(c) = 3*c - 2. Let n(r) = -r. Determine 2*a(z) + 4*n(z).
2*z - 4
Let o(s) = -36*s + 22. Let v(n) = 5*n - 3. Let k(h) = 6*o(h) + 44*v(h). Let f(m) = m. Let b(a) = 10*a - 1. Let d(g) = b(g) + 3*f(g). Calculate -2*d(l) + 7*k(l).
2*l + 2
Let k(q) = 10*q + 4. Let h(z) = 9*z + 3. Let w(l) = 6*h(l) - 5*k(l). Let i(m) = 3*m - 2. Suppose -2*j - j = 9. What is j*i(d) + 2*w(d)?
-d + 2
Let m(z) = -7*z**3 + 5*z - 5. Let k(o) = -4*o**3 + 3*o - 3. Calculate 5*k(l) - 3*m(l).
l**3
Let o(n) = -9*n - 20. Let f(u) = 4*u - 82. Let x be f(19). Let z(k) = -3*k - 7. What is x*o(h) + 17*z(h)?
3*h + 1
Let w(o) = 77*o + 28. Let r(i) = 14*i + 5. Determine -28*r(u) + 5*w(u).
-7*u
Suppose 2*k = 4*k. Let x = -1 - k. Let o(c) = -5*c - 6. Let t(z) = -z - 1. What is x*o(b) + 4*t(b)?
b + 2
Let g(x) be the third derivative of x**6/120 - 7*x**2. Let o(t) = -9*t**3 + 2*t + 2. What is -6*g(u) - o(u)?
3*u**3 - 2*u - 2
Let c(g) = 3*g + 1. Let q(t) = -t. Suppose 4*l = -3 + 23. Let z = l - 12. Give z*q(h) - 2*c(h).
h - 2
Let a(d) = 8*d**2 - 8*d + 7. Let m(s) = 7*s**2 - 7*s + 6. What is -5*a(g) + 6*m(g)?
2*g**2 - 2*g + 1
Let p(s) = 9*s**2 + 9*s - 7. Let q = 35 - 32. Let x(a) = -5*a**2 - 5*a + 4. Determine q*p(r) + 5*x(r).
2*r**2 + 2*r - 1
Let r(x) = -x + 5. Let y(i) be the second derivative of 0 - 11/2*i**2 - 4*i + 1/3*i**3. Determine 7*r(k) + 3*y(k).
-k + 2
Let u(a) = a - 1. Let k(g) = -2*g + 2. Determine -5*k(r) - 8*u(r).
2*r - 2
Let j = 8 - 6. Let r(p) = 0*p**2 - 1 + 3 - p**j - 3. Let w(c) = 3*c**2 + c. Determine -2*r(l) - w(l).
-l**2 - l + 2
Let z(x) = x. Let r(l) = 57*l**2 + l. Calculate -r(k) + z(k).
-57*k**2
Let r(b) be the third derivative of b**6/120 - b**5/60 + b**4/24 - b**3/6 + b**2. Suppose -15*m + 2 = -14*m. Let f(g) = g**3 + 2*g - 2. Calculate m*r(p) - f(p).
p**3 - 2*p**2
Let l be ((-1)/(-2))/(1/(-2)). Let v(i) = -i + 1. Let u = -321 - -326. Let g(d) = -7*d + 5. What is l*g(k) + u*v(k)?
2*k
Suppose 0 = -14*j + 10*j + 8. Let r(m) = 5 - 3*m - 5 + 3*m**2 + 5*m**3 + 5. Let v(q) = -4*q**3 - 2*q**2 + 2*q - 4. Calculate j*r(l) + 3*v(l).
-2*l**3 - 2
Let q(j) = 4*j**2 - 2*j + 1. Let x = -12 + 21. Let b(m) = -13*m**2 - 3 + 0*m - 2*m + x*m. Let k be 5/2*2 + 2. What is k*q(v) + 2*b(v)?
2*v**2 + 1
Let o be (-5)/10 + 27/(-6). Let a(k) = 2*k. Let l(r) = -9*r. Give o*l(w) - 24*a(w).
-3*w
Let r(b) = -b**3 - b**2 + b. Let p(k) = 11*k**3 + 4*k**2 - 4*k. Determine 5*p(l) + 20*r(l).
35*l**3
Let d(c) = 6*c**3 - 8*c**2 + 8*c + 8. Let j(m) = -2*m**3 + 3*m**2 - 3*m - 3. Determine -3*d(n) - 8*j(n).
-2*n**3
Let d(z) = 8 + 3*z + 14*z**2 - 4 - 4. Let y(j) = 5*j**2 + j. Give 6*d(x) - 17*y(x).
-x**2 + x
Let c(y) = 2*y**3 - 13*y**2 + 2. Let w(x) = 2*x**3 - 14*x**2 + 3. What is 3*c(f) - 2*w(f)?
2*f**3 - 11*f**2
Let m(g) = g**3 - 14*g**2 + g - 1. Let h be m(14). Let i(q) = 7*q**3 - 6*q**2 + 4. Let s(r) = 15*r**3 - 13*r**2 + 9. What is h*i(y) - 6*s(y)?
y**3 - 2
Let m(a) = -35*a**3 + 55*a**2 + 55*a + 55. Let t(x) = -2*x**3 + 3*x**2 + 3*x + 3. Give -6*m(c) + 110*t(c).
-10*c**3
Suppose 4*d + 5*t - 24 = -2, 0 = 4*d - 5*t - 2. Let i(c) = 6*c**3 + 3*c**2 - 3*c. Let k(u) = -13*u**3 - 7*u**2 + 7*u. Calculate d*k(y) + 7*i(y).
3*y**3
Let x(w) = -363*w**3 - 77*w**2 + 77*w. Let t(o) = 28*o**3 + 6*o**2 - 6*o. Give 77*t(b) + 6*x(b).
-22*b**3
Let u(d) = -2*d + 1. Suppose -2*i + 3*o + 1 = -i, -4*i - 3*o + 34 = 0. Let x(f) = -2*f + 1. Give i*x(a) - 6*u(a).
-2*a + 1
Let h(i) = -i**3 - 4*i**2 - 4*i + 5. Let d = 1 - -1. Let m be d*(3/2 + 0). Let z(s) = -5*s + 6 + s**m - 5*s**2 - 2*s**3 + 0. Give -5*h(j) + 4*z(j).
j**3 - 1
Let j(c) = -c - 5. Let i(y) = 4. Determine -5*i(f) - 4*j(f).
4*f
Let n be 2 - (-1)/3*0. Let g(q) = -4*q**n - 10*q**3 + 3*q**3 - 6 - 10*q**3 + 7*q**2. Let f(b) = 6*b**3 - b**2 + 2. Calculate -11*f(h) - 4*g(h).
2*h**3 - h**2 + 2
Let x(i) = -5*i**3 - 9*i**2 - 9. Let w = 10 - 15. Let g = 9 + w. Suppose 22 = -2*t + g. Let b(a) = -2*a**3 - 4*a**2 - 4. Give t*b(l) + 4*x(l).
-2*l**3
Let b(k) = -3*k - 11. Let g(h) = h + 4. What is 4*b(v) + 11*g(v)?
-v
Let u(z) = z + 30. Let d(t) = 5*t + 121. Calculate -2*d(a) + 9*u(a).
-a + 28
Let x(v) = -v**2 + 0 + 0*v**2 + 4 - 4*v + 2. Let q(p) be the second derivative of p**3/6 - p**2/2 + p. Give 4*q(w) + x(w).
-w**2 + 2
Let x(w) = 2*w - 2. Let j(k) = k**2 - 9*k + 5. Let h be j(8). Let i(t) be the second derivative of -t**3/3 + t**2 - 16*t. Determine h*x(c) - 2*i(c).
-2*c + 2
Let n(j) = -3*j**3 + 13*j**2 + 7*j - 11. Let h(k) = -k**3 + 6*k**2 + 3*k - 5. Give -7*h(x) + 3*n(x).
-2*x**3 - 3*x**2 + 2
Let b(l) = 5*l**2 - 7. Suppose 105 = -4*i + 11*i. Let k = -1 - -3. Let m be k/2 - i/(-3). Let g(j) = -2*j**2 + 3. Calculate m*b(w) + 14*g(w).
2*w**2
Let w be 8/(-40) - 12/15. Let i(v) = 8*v**3 + 5*v**2 + 5*v - 1. Let o(s) = s**3 + s**2 + s. Calculate w*i(f) + 5*o(f).
-3*f**3 + 1
Let d(y) = 2*y + 5. Let u = 56 + -35. Let x(r) = -8 - 13 - 3*r + 0*r - 6*r. Calculate u*d(i) + 5*x(i).
-3*i
Let r(s) = -s - 1. Let y(d) = d - 2. Give -3*r(t) - y(t).
2*t + 5
Let n(j) = -j - 1. Let w(z) = -2*z**2 - 6*z - 4. Give -6*n(s) + w(s).
-2*s**2 + 2
Let x(u) = -4*u + 16. Let g(p) = -2 + 52*p - 51*p - 1. What is -16*g(v) - 3*x(v)?
-4*v
Let v(f) = 9*f. Let k be v(-1). Let c = k - -8. Let i(d) = d - 5. Let y(a) = -1. Give c*i(q) + 5*y(q).
-q
Let i be -6 - 1*6/3. Let m = i + 18. Let a(c) = -4*c**2 - 5*c - 4. Let v(k) = -k**2 - k - 1. Give m*v(t) - 2*a(t).
-2*t**2 - 2
Let f(t) = -4*t + 5. Let u(x) = -12*x + 16. What is 16*f(g) - 5*u(g)?
-4*g
Let j(b) = -5*b - 15. Let f(t) = 3*t + 8. Give 7*f(s) + 4*j(s).
s - 4
Let m(p) = p**2 + 4. Let u(t) = -t**2. What is m(b) + 5*u(b)?
-4*b**2 + 4
Suppose -2 = 2*h - h, -k + 5*h = -7. Let r(o) = o**2 - 10*o + 8. Let l be r(9). Let u(i) = -2 - 1 + 6 - 2. Let s(t) = -2*t - 3. Determine k*u(b) + l*s(b).
2*b
Let k(c) = 29*c + 11. Let g(p) = -6*p - 2. Calculate -11*g(f) - 2*k(f).
8*f
Let x(f) = -f**2 + f - 1. Let d(w) = -2*w**2 + w - 3. Calculate -d(r) + x(r).
r**2 + 2
Let y(b) = -2*b + b + 4*b**2 + b**3 - 2*b**3 + 5*b. Let p be (-4)/(-8)*4/2. Let a(v) = v**2 + v. Calculate p*y(x) - 4*a(x).
-x**3
Let r(n) = n**3 + n. Let t(v) = v**3 - 54*v**2 + 2*v. What is -2*r(u) + t(u)?
-u**3 - 54*u**2
Let b(f) = -10*f**2 - 6*f. Let s(h) = h + 1. Let z(a) = 9*a**2 + 3*a - 2. Let o(d) = -2*s(d) - z(d). Calculate -5*b(m) + 6*o(m).
-4*m**2
Let s = 22 + -17. Let n(d) = -d + 1. Let g(h) = -h + 1. Let j(l) = s*g(l) - 4*n(l). Let c(u) = 2*u**2 + 3*u - 3. Determine c(v) + 3*j(v).
2*v**2
Let f(q) = -13*q + 5. Let i(l) = 12*l - 4. Calculate -3*f(g) - 4*i(g).
-9*g + 1
Let a = 6 - -5. Let i(s) = -3*s**3 - s**2 + 2*s. Let g(w) = -16*w**3 - 6*w**2 + 11*w. Give a*i(z) - 2*g(z).
-z**3 + z**2
Let q(r) = 8*r**2 + 6*r + 5. Let f(w) = 7*w**2 + 5*w + 6. Give 7*f(n) - 6*q(n).
n**2 - n + 12
Let x(u) = -2*u**3 - 3*u**2 - 3*u - 3. Let k(n) = -2*n - 7 + 0*n - 5*n - 5*n**3 - 7*n**2. Determine -3*k(d) + 7*x(d).
d**3
Let s(n) = -8*n**2 - 6*n - 1. Let b(r) be the third derivative of r**5/60 + r**4/24 + r**2. Suppose 0 = -3*f + 25 - 7. What is f*b(x) + s(x)?
-2*x**2 - 1
Let c(j) = -j**3 + 2*j**2 + j - 2. Let z(r) be the third derivative of r**6/40 - r**5/12 - r**4/24 + 5*r**