.
-6*h**3 + 2*h**2 + h
Let l(y) = y**3 + y**2 + 2*y - 6. Let i(r) = r**3 + r**2 + 2*r - 5. Determine -6*i(j) + 5*l(j).
-j**3 - j**2 - 2*j
Let p(q) = -q**3 + 3*q**2 + q + 2. Let c = -51 + 62. Suppose g + 0 = -5*w - 9, -5*w = -2*g + 12. Let i(v) = -5*v**3 + 16*v**2 + 6*v + 11. Give c*p(k) + w*i(k).
-k**3 + k**2 - k
Let i(q) be the third derivative of q**5/60 - q**4/24 - 2*q**2. Suppose -3 = 5*b - 8. Let l = -3 - b. Let k(t) = t**3 - 6*t**2 + 4*t. Calculate l*i(w) - k(w).
-w**3 + 2*w**2
Let y(c) = 1. Let g(i) = -7*i + 1. Let f(z) = g(z) + 4*y(z). Let d(x) = -3*x + 2. Determine -5*d(r) + 2*f(r).
r
Let d(x) = 11*x**2 + 35*x + 27. Let n(w) = 2*w + 0 + 4*w**2 + 9 + 10*w. Let r(j) = 3*d(j) - 8*n(j). Let u(k) = -k - 1. Calculate 2*r(z) + 18*u(z).
2*z**2
Let j(g) = -8*g**2 - 6*g - 7. Let q(z) = -4*z**2 - 3*z - 3. Calculate 3*j(p) - 7*q(p).
4*p**2 + 3*p
Let s(w) = 3 - 3*w**2 + 2 - 4*w**2. Let p be (-12)/((-12 + 10)/(-1)). Let r(q) = -q**2 + 1. Calculate p*r(u) + s(u).
-u**2 - 1
Let o(s) = 14*s**2 - 7*s + 2. Let u(y) = 13*y**2 - 6*y + 2. Give 6*o(h) - 7*u(h).
-7*h**2 - 2
Let q(m) = 3*m - 5. Let t be (44/(-8))/((-2)/4). Suppose -2*n + 4*s - 24 = 0, 3*n + 7*s = 2*s + 8. Let w(f) = 8*f - 14. Give n*w(o) + t*q(o).
o + 1
Let z(s) = 5*s**2 + 16*s + 2. Let f(v) = 4*v**2 + 15*v + 2. Give 6*f(p) - 5*z(p).
-p**2 + 10*p + 2
Let b(r) = 3*r + 7. Let y(g) = -3*g - 6. Let t(z) = 2*b(z) + 3*y(z). Let n(q) = 3*q + 5. Determine 3*n(k) + 4*t(k).
-3*k - 1
Suppose b + 3*b + 5*t - 32 = 0, -2*t = b - 11. Let m(i) = i**2 - 5. Let d(j) = -3 + 2 + 4 + 1. Determine b*d(f) + 2*m(f).
2*f**2 + 2
Let h(q) = 5*q + 11. Let n(c) = -4*c - 10. Give 5*h(o) + 6*n(o).
o - 5
Let r(l) be the second derivative of -l**3/6 + l**2/2 - 13*l. Let j(f) = 2*f - 3. Give -3*j(q) - 7*r(q).
q + 2
Let k(t) = 14*t**2 - 5. Let y = 39 - 34. Let l(n) = 21*n**2 - 7. Determine y*l(i) - 7*k(i).
7*i**2
Let q(t) = -t + 1. Let f be q(-3). Let c(z) = 5*z**2 - 5*z + 2 + 10*z**2 - f*z**2. Let v(x) = -7*x**2 + 3*x - 1. Calculate -5*c(g) - 8*v(g).
g**2 + g - 2
Suppose 0 = x + 2*x. Let y = x + 6. Let d(t) = 7*t**2 + 5*t. Let w(s) = -8*s**2 - 6*s. Calculate y*d(j) + 5*w(j).
2*j**2
Suppose 3*k + 2 = m, 3 = -k - m - m. Let a(p) = 4*p**2 - p - 3. Let l(w) = 7 + 3 - 11 + 2 - w**2. Calculate k*l(x) - a(x).
-3*x**2 + x + 2
Let u(r) = r**3 - 2*r - 2. Let a(m) be the second derivative of m**5/5 - 7*m**3/6 - 7*m**2/2 + 9*m. Let x = 15 + -1. Give x*u(b) - 4*a(b).
-2*b**3
Let w(n) = -6*n. Let g(d) = 3*d. Suppose 22 = 3*c - l, 3*c = -0*c - l + 26. Suppose 2*h + c = -v, -5*h - 4*v = -3*h + 8. Determine h*w(o) - 7*g(o).
3*o
Let v(d) be the third derivative of -d**6/60 + 2*d**2. Let s(b) = 6*b**3. Suppose 3*t + 42 = 9. Let i be 5/(-3)*3 - (1 + -2). Determine i*s(m) + t*v(m).
-2*m**3
Let v(d) = 31*d**3 - 2*d. Let g(r) = -123*r**3 + 9*r. Calculate -2*g(h) - 9*v(h).
-33*h**3
Let z = -11 - -3. Let a(i) = 2*i**2 + 5*i. Let u(c) = 3*c**2 + 8*c - 11 + 11. Determine z*a(s) + 5*u(s).
-s**2
Let y(o) = 3*o**3 - 4*o**2 - 2*o - 1. Let f(p) = 6*p**3 - 9*p**2 - 5*p - 1. Give -2*f(u) + 5*y(u).
3*u**3 - 2*u**2 - 3
Let z = 7 + -11. Let g(w) = -4*w**3 - 3*w**2 + 3. Suppose 0 = -4*o + 4 + 8. Let h(c) = -5*c**3 - 4*c**2 + 4. Give o*h(k) + z*g(k).
k**3
Let h(z) = z**3 + z**2. Let y(r) = r**3 + 2*r**2. Calculate 3*h(n) - y(n).
2*n**3 + n**2
Let t(q) = q - 2. Let m(o) = 2*o. Let x(i) = 3*i + 1. Let l(c) = -5*m(c) + 3*x(c). Give -3*l(a) - 4*t(a).
-a - 1
Let n(s) = -6*s**2 - 2*s - 15. Let f(y) = 9*y**2 + 3*y + 22. Calculate 5*f(d) + 7*n(d).
3*d**2 + d + 5
Let j(q) = -6*q + 2. Let v(x) be the third derivative of 11*x**4/24 - x**3/2 - 14*x**2. Give 5*j(i) + 3*v(i).
3*i + 1
Let x(f) = -f**2 + 3. Let w(c) = -3*c**2 + c + 7. What is 2*w(v) - 5*x(v)?
-v**2 + 2*v - 1
Let q(t) = 23*t**2 + 17*t + 17. Let h(i) = -8*i**2 - 6*i - 6. What is 17*h(w) + 6*q(w)?
2*w**2
Suppose s = -5*n - 10 - 0, 5*n = 4*s - 35. Let q(m) = m**2 - 5*m - 1. Let u(o) = -3*o - 1. Calculate n*q(d) + 5*u(d).
-3*d**2 - 2
Suppose l = -2*c - 29, 2*l + 52 - 8 = -3*c. Let f = -15 - c. Let k(s) = -s. Let y(d) = d. Suppose 0 = 3*g + 2*g + 10. What is f*k(o) + g*y(o)?
-o
Let j(b) = -1. Let z(h) = -1 + 4 + 3 - 3 + h. What is 4*j(t) + z(t)?
t - 1
Let c(m) = -6*m + 6. Let s(p) = 7*p - 5. Determine -4*c(z) - 5*s(z).
-11*z + 1
Let v(q) = 4*q**2 + 4*q - 6. Let u(k) = k**2 + k - 1. Determine -5*u(x) + v(x).
-x**2 - x - 1
Let i(g) = 1. Suppose 0 = 4*a + 3*v + 31, -2*a - 2*a + 5*v - 55 = 0. Let w = -9 - a. Let r(x) = -x - 7. What is w*r(z) + 6*i(z)?
-z - 1
Let z(r) = 2*r**2 + 2*r - 1. Let l be z(-2). Let p(i) = -l + 2 + 1 + i - 16. Let o be 2/8 - (-172)/16. Let q(h) = -3. Calculate o*q(d) - 2*p(d).
-2*d - 1
Let n(q) = -5 - 20*q**2 - 20*q**2 - 5*q + 49*q**2. Let l = -3 + 4. Let b be (1 + 4)/(2 - l). Let i(d) = -14*d**2 + 8*d + 8. Calculate b*i(p) + 8*n(p).
2*p**2
Let d(i) be the second derivative of -i**4/12 + 3*i. Let n(o) = 2*o. Let x be n(-3). Let q(y) = y**2. Calculate x*q(s) - 5*d(s).
-s**2
Let w(i) = 3*i + 6. Let v be ((-5)/(-3))/(9/27). Let n(f) = -4*f - 7. Calculate v*w(g) + 4*n(g).
-g + 2
Let r(u) = 14*u**2 - 5*u - 5. Let a(o) = -21*o**2 + 8*o + 8. What is -5*a(d) - 8*r(d)?
-7*d**2
Let y(o) = -1. Let s(k) = -k**3 + 7. Let t(m) = -2*m - 5. Let r be t(-1). What is r*s(h) - 21*y(h)?
3*h**3
Let r(k) = 3 + 8*k - 11*k - k - 16. Let q(h) = -1 + 5 + h - 1. Let n(o) = -o + 9. Let f be n(0). What is f*q(a) + 2*r(a)?
a + 1
Let v(f) = -f**2 - 5*f - 1. Let h(w) be the third derivative of -w**5/20 - 7*w**4/12 - w**3/3 - w**2. Give -3*h(g) + 8*v(g).
g**2 + 2*g - 2
Let g(f) = -9*f - 4. Suppose -2*u - 5 = -u, -5 = 3*d - 2*u. Let r(w) = -5*w - 2. Determine d*r(y) + 3*g(y).
-2*y - 2
Let o(v) = 5*v - 15. Let d(x) = 3*x - 10. What is -8*d(z) + 5*o(z)?
z + 5
Let r(w) = -41*w**2 + 8*w. Let i(q) = -122*q**2 + 23*q. Calculate -6*i(a) + 17*r(a).
35*a**2 - 2*a
Let m be -15*3/(-18)*-2. Suppose -10 = -3*f - 2*f. Let n(o) = 2*o**3 + 2*o + 2. Let k(s) = 4*s**3 + s**2 + 4*s + 5. What is f*k(g) + m*n(g)?
-2*g**3 + 2*g**2 - 2*g
Let w(d) = -3*d**2 + 1. Let j = 14 + -13. Suppose g + 9 = 2*s, 5*g - 12 + j = 2*s. Let o(v) = -10*v**2 + v + 3. Determine s*w(p) - 2*o(p).
-p**2 - 2*p + 1
Let t(v) = -v. Let c(p) = 8*p - 1. Calculate -c(o) + t(o).
-9*o + 1
Let f(a) = -4*a**2 - 9. Let g(q) = 17*q**2 + 37. Calculate 9*f(b) + 2*g(b).
-2*b**2 - 7
Let m(i) = 4*i**3 - 3*i**2 - 7*i + 5. Let o(h) = -h**3 + h**2 + h - 1. Calculate -m(t) - 5*o(t).
t**3 - 2*t**2 + 2*t
Let u(j) = -57*j**3 + 17*j**2 - 17*j - 17. Let m(s) = 19*s**3 - 6*s**2 + 6*s + 6. Determine -17*m(a) - 6*u(a).
19*a**3
Let f(j) = -4*j**2 - 53*j. Let i(h) = h**2 - h. What is -f(x) - 6*i(x)?
-2*x**2 + 59*x
Let o(l) = -2*l**3 - l**2 - 4*l. Let v(b) be the third derivative of -b**6/30 - b**5/30 - 7*b**4/24 + b**2. Let c = 17 - 13. What is c*v(q) - 7*o(q)?
-2*q**3 - q**2
Let z(h) = -1. Let p(u) = -30*u**2 + 15. What is p(d) + 15*z(d)?
-30*d**2
Let r(f) = 2*f**2 - 12*f - 7. Let c(q) = 5*q**2 - 25*q - 15. What is -4*c(h) + 9*r(h)?
-2*h**2 - 8*h - 3
Let t(c) = 4*c - 22. Let n(z) = -3*z + 22. What is 5*n(p) + 4*t(p)?
p + 22
Let v(i) = -i + 6. Let m(q) = -q**2 + q + 1. Let w be m(-2). Let f(g) = 5. Calculate w*v(x) + 6*f(x).
5*x
Let t(k) = 9*k**3 + 6*k - 6. Suppose 0 = -3*s + 6*s - 51. Let i(y) = -26*y**3 - 17*y + 17. What is s*t(w) + 6*i(w)?
-3*w**3
Let x(a) = 6*a**3 - 2*a. Let z(s) = s**3. Suppose 1 = 5*w + 11. Give w*x(h) + 10*z(h).
-2*h**3 + 4*h
Let p(v) be the third derivative of -11*v**6/24 - 3*v**5/4 + 15*v**4/8 - 15*v**3/2 - 5*v**2. Let y(q) = 5*q**3 + 4*q**2 - 4*q + 4. What is -4*p(x) - 45*y(x)?
-5*x**3
Let y(q) = 2*q - 1. Let w(f) = 2*f - 10. Let v(u) = -u + 6. Let j(t) = -5*v(t) - 3*w(t). Calculate -5*j(g) - y(g).
3*g + 1
Let c(m) = m**2 + 1. Let n(y) = y**2 - 4*y + 8. Let d be n(6). Let j be 2/(-10) - 16/d. Let a(r) = 8*r**2 + r + 6. Determine j*a(l) + 6*c(l).
-2*l**2 - l
Let d(u) = -3*u**3 - 5*u - 3. Let v(r) = -6*r**3 - r**2 - 9*r - 5. Give -5*d(z) + 3*v(z).
-3*z**3 - 3*z**2 - 2*z
Let a(s) = -s**3 - s**2 - s - 1. Let l(k) = 5*k**3 + 6*k**2 + 9*k + 6. Give 6*a(v) + l(v).
-v**3 + 3*v
Let s(h) = 3*h - 2. Let p(u) = 16*u - 11. Let c(a) = 2*p(a) - 11*s(a). Let o(t) = -12*t. Calculate -22*c(v) + 2*o(v).
-2*v
Let i(f) be the second derivative of -f**5/5 + f**4/6 + 2*f**3/3 + 3*f**2/2 - 3*f. Let k(m)