i).
-8*i + 14
Let f(d) = 2*d**2 + 3*d - 1. Let r(h) = -h - 4. Let v(g) = -g**2 - 5*g - 11. Let t(n) = 6*r(n) - 2*v(n). Calculate -4*f(c) + 3*t(c).
-2*c**2 - 2
Let h(r) = 21*r - 3. Let i(f) = 3*f - 2. What is -3*h(g) + 6*i(g)?
-45*g - 3
Let p(u) = -267*u**2 - 36*u + 18. Let b(q) = 2*q**2 + 2*q - 1. Determine 18*b(r) + p(r).
-231*r**2
Let b(p) = -p**2 + 1. Let m(k) be the second derivative of 0*k**3 + 0 + 1/6*k**4 - 20*k - 1/2*k**2. Determine -3*b(s) - 3*m(s).
-3*s**2
Let c = 19 - 11. Let v = -5 + c. Let k(d) = 5*d**3 - d**2 - 3*d. Let x(n) = n**3 - n. Calculate v*x(p) - k(p).
-2*p**3 + p**2
Let z(t) = -4*t**3 + 4*t**2 + t + 2. Let v(n) = -12*n**3 + 14*n**2 + 4*n + 6. Give 2*v(j) - 7*z(j).
4*j**3 + j - 2
Let q(u) = u**2 - 2. Let r(j) = 59*j**3 - 3*j**2 + 9. Determine 3*q(z) + r(z).
59*z**3 + 3
Let m(a) = 9*a**2 - 2*a + 2. Let d(n) = -9*n**2 + 2*n - 2. What is 2*d(l) + 3*m(l)?
9*l**2 - 2*l + 2
Let c(f) = -f**3 + f + 1. Let r(i) = i**3 - 6*i**3 - 30903*i + 30907*i + 4. Determine 4*c(g) - r(g).
g**3
Let m(j) = -4*j + 6. Let r be -1*38/(-4)*-2. Let q = r - -18. Let t(o) = 3*o - 3. Let p(y) = 8*y - 8. Let u(d) = 4*p(d) - 11*t(d). Determine q*m(g) + 5*u(g).
-g - 1
Let f(p) = 719*p + 719. Let t(h) = 2*h + 1. Give -f(w) + 719*t(w).
719*w
Let t(i) be the third derivative of 5*i**4/24 + i**3/6 + 987*i**2. Let v(m) = -m. Give -t(u) - 6*v(u).
u - 1
Let o(z) = 7*z**2 - z - 5. Suppose 0 = -0*y + y + 2. Let g be 5 + (0/(-5))/(-7). Let b(u) = 3*u**2 - 4 + 4 - 2. Determine g*b(x) + y*o(x).
x**2 + 2*x
Let t(q) = 17*q - 18. Let x(y) = -8*y + 9. What is 6*t(c) + 13*x(c)?
-2*c + 9
Let d(b) = -7*b**2 + 92*b - 6. Let z(v) = -v**2 + v - 1. Give -d(x) + 6*z(x).
x**2 - 86*x
Let s(v) = 21*v**2 + 514*v - 11. Let r(d) = -4*d**2 - 103*d + 2. Determine -11*r(j) - 2*s(j).
2*j**2 + 105*j
Let y(q) = 1028*q + 16. Let w(i) = 342*i + 6. Determine 11*w(x) - 4*y(x).
-350*x + 2
Let a(x) = 2*x**2 - 12*x. Let j(g) = -g. Let y(v) = -v**3 - 6*v**2 + 4*v - 22. Let l be y(-7). What is l*a(m) + 12*j(m)?
-2*m**2
Let v(r) = 0*r**2 + 69 + r + r**2 - 35 - 32. Suppose -8 = 2*m, 0 = -2*t - 5*m + 2*m - 16. Let w(k) = 5*k**2 + 5*k + 11. Determine t*w(u) + 11*v(u).
u**2 + u
Let n(d) = -3*d**2 - d - 15. Let h(v) = 3*v**2 + v + 16. Give 4*h(k) + 3*n(k).
3*k**2 + k + 19
Let d(m) = -m**3 - 4*m**2 - 5*m - 9. Let t(x) = x**2 + 4*x + 8. Determine 2*d(u) + 3*t(u).
-2*u**3 - 5*u**2 + 2*u + 6
Let r(y) = 2*y + 0*y - 4*y. Let g(u) = -u. Suppose -4*t + 24 = -4*q, -5*q = 24 - 9. Suppose -3*x + 5 = -p, -5*x + 15 = -t*p - 2*x. Give p*g(l) + 2*r(l).
l
Let t(r) = -3*r**2 - 5. Let j(x) = -1 + 8 - 9 - 2 + 3. Give 4*j(s) - t(s).
3*s**2 + 1
Let r(b) = 2*b**2 + 24*b - 18. Let a(w) = 2*w**2 + 22*w - 19. Calculate 5*a(j) - 4*r(j).
2*j**2 + 14*j - 23
Let j(d) = -492*d**3 + 9*d**2 + 3*d. Let g(u) = -739*u**3 + 14*u**2 + 5*u. Give 5*g(n) - 8*j(n).
241*n**3 - 2*n**2 + n
Let k(y) = -4*y**3 - 19*y**2 - 1. Let w(u) = -6*u**3 - 28*u**2 - 2. Let m(t) = -7*k(t) + 5*w(t). Let n(d) = -2*d**3 - 6*d**2 - 3. What is 4*m(q) - 5*n(q)?
2*q**3 + 2*q**2 + 3
Let b(n) = -5. Let h(x) be the first derivative of x**2/2 - 6*x - 80. Give 6*b(t) - 5*h(t).
-5*t
Let c(d) = -101*d**2 + 2*d. Let h(v) = -v**3 + 101*v**2 - 3*v. Calculate 3*c(t) + 2*h(t).
-2*t**3 - 101*t**2
Let k(f) = -f**3. Let u(b) = -3*b**3 - b**2 + 3*b. Let x = -60 - 9. Let l = -73 - x. What is l*k(g) + u(g)?
g**3 - g**2 + 3*g
Let u(t) = 3*t + 3. Let o(r) = -3*r - 4. Let g = -13 - -27. Let b = 11 - g. Calculate b*o(z) - 4*u(z).
-3*z
Let w(b) = 142*b + 1. Let y(v) = -47*v. Give -6*w(c) - 17*y(c).
-53*c - 6
Let o(g) = 26*g - 6. Let y(m) = -m - 1. What is -o(s) + 3*y(s)?
-29*s + 3
Let i(j) be the second derivative of -j**3/6 - j**2/2 + 814*j. Let u(g) = -3*g - 4. Let w(v) = -v**2 + 5*v - 4. Let f be w(3). Calculate f*i(y) - u(y).
y + 2
Let y(o) = 2*o + 5. Suppose -2*m - 4 = -10. Let a be (10/(-2))/(2 - (m - 0)). Let g(b) = 6 - 3*b + 5*b - 2. Give a*g(s) - 4*y(s).
2*s
Let t(m) = m - 4. Let w be t(3). Let c(q) = q**2 + 1. Let r be ((-19)/(-2660)*14)/(2/20). Let s(j) = -2*j**3 + 5*j**2 + 1. Determine r*s(k) + w*c(k).
-2*k**3 + 4*k**2
Let n(m) = 464*m - 234*m - 231*m. Let r(k) = 2 - 3*k + 2 - 4 - 5. Give -2*n(o) + r(o).
-o - 5
Suppose 0 - 10 = 3*f - o, 5*f = -4*o - 28. Let l(d) = -d. Let g(r) = -3*r - 1. Give f*l(h) + g(h).
h - 1
Let w(o) = 2*o**3 - 11*o**2 - 4. Let g(k) be the third derivative of k**6/120 - k**5/12 - k**3/3 + 70*k**2. Give 13*g(y) - 6*w(y).
y**3 + y**2 - 2
Let r(y) = 4*y + 1. Let d(v) = -13*v + 3. Let b(m) = -2*m + 1. Let o(k) = 4*b(k) - d(k). Give 3*o(p) - 4*r(p).
-p - 1
Let u(d) = -5*d**2 + 5*d - 2*d + 3*d. Let n(s) = -1245 - 8*s**2 + 7*s + 1245 + 2*s**2 + 0*s. Determine 6*n(x) - 7*u(x).
-x**2
Let r(v) = -85*v**3 - 6*v**2 + 6*v - 6. Let k(c) = 255*c**3 + 17*c**2 - 17*c + 17. Calculate 6*k(o) + 17*r(o).
85*o**3
Let u(y) = -11*y - 8. Let g(w) = 5*w + 4. Determine -5*g(l) - 2*u(l).
-3*l - 4
Let h(s) = -4*s**3 - 14*s**2 - 14*s - 14. Let x(d) be the second derivative of -d**5/20 - d**4/4 - d**3/2 - 3*d**2/2 - 6*d - 11. Calculate 3*h(a) - 14*x(a).
2*a**3
Let s(h) = 4*h**2 - 7*h + 3. Let q(r) = -9*r**2 + 14*r - 8. Calculate 6*q(i) + 13*s(i).
-2*i**2 - 7*i - 9
Let z be 0 + -1 + (-20)/(-2). Let b = z + -8. Let x = 63 + -68. Let k(d) = 7*d**3 - 5*d**2 - d - 6. Let i(y) = y**3 - y**2 - 1. Calculate b*k(q) + x*i(q).
2*q**3 - q - 1
Let h be (-8)/28 - (-494)/14. Suppose -4*r - 3 = -h. Let n(q) = -6*q**2 - q + 2. Let y(z) = -17*z**2 - 2*z + 5. What is r*n(f) - 3*y(f)?
3*f**2 - 2*f + 1
Let m(z) = -7*z. Suppose 4*d + 5*d = 18. Let w be (d/7)/((-11)/77). Let i(r) = 3*r + 3. Let x(s) = 6*s + 7. Let u(b) = -7*i(b) + 3*x(b). Give w*m(f) + 5*u(f).
-f
Let s(b) = b**3 - b**2 - 1. Let w(c) = c**3 - 3*c**2 + c - 3. Let n(l) = 2*s(l) - w(l). Let y(x) = 4*x**3 + 3*x**2 - 6*x + 3. Calculate 3*n(d) - y(d).
-d**3 + 3*d
Let v(s) = -9*s**2 + 2. Let n(o) = 36*o**2 - 9. Let m be 18/(-4)*(-240)/(-540). Determine m*n(d) - 9*v(d).
9*d**2
Let x(r) = 5*r + 2. Let z(g) = -22*g - 7. Let o(b) = -19*b - 6. Let y(j) = -7*o(j) + 6*z(j). Give -x(v) + 3*y(v).
-2*v - 2
Let c(u) = -4*u + 17. Let v(k) = -3*k + 18. Calculate -2*c(z) + 3*v(z).
-z + 20
Let g(r) = 102*r - 7. Let l(q) = 105*q - 10. What is 5*g(u) - 4*l(u)?
90*u + 5
Let q(w) be the third derivative of -5/24*w**4 + 7*w**2 + 0*w - 1/3*w**3 + 0. Let l(b) = 0 + b - 4*b**2 + 1 + 3*b**2. What is 3*l(i) + q(i)?
-3*i**2 - 2*i + 1
Let w(n) = -n - 51. Let i(z) = z**2 - z. Determine -i(l) + w(l).
-l**2 - 51
Let r be 9 + -4 + -3 - 8. Let q be (-1)/(-1) - (-1 - (10 - -5)). Let j(h) = -4*h. Let l(n) = -11*n. Determine q*j(s) + r*l(s).
-2*s
Let r(u) = -u**2 - 102. Let m(g) = -5*g + 1. What is -m(l) - r(l)?
l**2 + 5*l + 101
Let q be 21/15 + (-21)/(-35). Let c(i) = 651*i**q + 2*i + i**3 - 651*i**2. Let k(y) = y**3 + 3*y - 1. Calculate 3*c(v) - 2*k(v).
v**3 + 2
Let u(x) = -x**3 + x**2 + x - 1. Suppose 0*l = 4*l + 16. Suppose -3*s = -0*s. Let f(n) = -4 - 2*n**3 + 6*n - 3*n**3 + n**2 + s*n + 3*n**2. Give l*u(r) + f(r).
-r**3 + 2*r
Let b(c) = -c - 1. Let s be 2/(3*2/3). Let u(t) = -9983 - 3*t + t - 8*t + 9977. Determine s*u(h) - 6*b(h).
-4*h
Let n(r) = -2*r**2 + 67*r - 3. Let j(p) = -p**2 + p - 1. Calculate -3*j(b) + n(b).
b**2 + 64*b
Let y(z) = z**2 + z - 1. Let c(b) be the first derivative of 2*b**3/3 + b**2/2 - 4*b - 1781. Suppose -4 = m - 2*w, 2*m - 4*w + 12 = w. Give m*y(q) - c(q).
2*q**2 + 3*q
Let u(q) = 3*q**3 + 154*q**2 - q + 4. Let s(o) = 9*o**3 + 461*o**2 - 4*o + 14. What is 2*s(f) - 7*u(f)?
-3*f**3 - 156*f**2 - f
Let c(y) = 88*y**2 + 11*y. Let t(i) = -58*i**2 - 7*i. Calculate 5*c(r) + 8*t(r).
-24*r**2 - r
Let p(b) = -99*b**2 + 99*b**2 - 25*b**3 + 18*b**3. Let o(l) = 4*l**3. Give -11*o(x) - 6*p(x).
-2*x**3
Let s(y) = -5*y**2 + 6*y + 3. Let h(o) = 11*o**2 - 11*o - 5. Calculate 3*h(k) + 5*s(k).
8*k**2 - 3*k
Let l(k) = k**3 + 3*k**2 - 3. Suppose 3*x = -24 + 12. Let z(s) = -2*s**2 + 2. What is x*l(i) - 6*z(i)?
-4*i**3
Let t(n) = 25*n - 3*n - 32*n - 10. Let u(o) = -o - 1. Give 2*t(x) - 18*u(x).
-2*x - 2
Let h(z) = -3*z - 105 + 50 + 51. Let q(k) = -4*k - 4. Determine -5*h(a) + 4*q(a).
-a + 4
Let m(l) = -3*l - 314 + 314. Let a(f) = 6*f. What is -4*a(v) - 9*m(v)?
3*v
Let q = 1 + 3. Let h(p) = -3*p**2 - 4*p + 4. Let j(i) = 29*i - 32*i - 24*i**2 + 33 - 30*i. Determine q*j(t) - 33*