v) be the second derivative of -v**3/3 + v**2/2 + 52*v - 2. Suppose f + 22 = -5*r - 6, 5*f + 5 = 2*r. Give r*y(i) - 6*j(i).
-2*i + 1
Let r(g) = -g - 1. Let a(q) = -3. What is -a(l) + 4*r(l)?
-4*l - 1
Let v(l) = -l**3 + 3*l**2 + 3*l + 6. Let h(b) = -b - 1. Calculate 6*h(t) + v(t).
-t**3 + 3*t**2 - 3*t
Let f(y) = 7*y + 3. Let o(z) = 8*z + 4. Suppose -16*h = -19*h + 9. Give h*o(r) - 4*f(r).
-4*r
Let y(t) = -23*t**2 - 5*t - 1. Let u(s) = -22*s**2 - 4*s - 1. Calculate -5*u(f) + 4*y(f).
18*f**2 + 1
Let v(b) = 8*b**3 - 4*b + 4. Suppose -2*u + a - 7 = 0, -4*u - 3*a + 0*a = 9. Let n(m) = -7*m**3 + 3*m - 3. Calculate u*v(s) - 4*n(s).
4*s**3
Let z(g) = 4*g**3 + 2. Let b(l) = -l**2 - 8*l + 24. Let i be b(-10). Let t(a) = -17*a**3 - 9. Give i*t(q) + 18*z(q).
4*q**3
Let u(f) = -90*f**2 + 20*f + 20. Let z(s) = 13*s**2 - 3*s - 3. What is -3*u(t) - 20*z(t)?
10*t**2
Let u(l) = -9*l**2 + 8*l. Let r(s) = 9*s**2 - 5*s + 3. Let f(b) = -b**2 - 1. Let i(y) = 3*f(y) + r(y). Suppose 0 = -12*q + 8*q + 20. Give q*u(x) + 8*i(x).
3*x**2
Let p(q) = -q + 35. Let t(m) = -m + 35. Give -5*p(j) + 4*t(j).
j - 35
Let c(q) = -q - 1. Let f(u) = -u**3 + 9*u**2 + 3*u + 1. What is -3*c(x) - f(x)?
x**3 - 9*x**2 + 2
Suppose -4*f = 4*o + 16, 15 = -5*o - 0. Let a(u) = -u**2 + u. Let j(v) = v**3 - 4*v**2 + 2*v + 1. Give f*j(z) + 4*a(z).
-z**3 + 2*z - 1
Let k(j) = 8*j**2 + 2*j - 1. Let g(u) = 3*u - 27. Let o be g(11). Let f(b) = 9*b**2 + 2*b - 1. Calculate o*k(m) - 5*f(m).
3*m**2 + 2*m - 1
Let t(g) = 3*g + 4. Let i(a) = -15*a - 10. Let k(r) = 7*r + 5. Let z(q) = 3*i(q) + 7*k(q). Calculate 3*t(n) - 2*z(n).
n + 2
Let l(s) = s**2 + s + 1. Let h(a) = -a**2 - 5*a - 3. Suppose v - 4*v - 3 = 0. Calculate v*h(z) - 3*l(z).
-2*z**2 + 2*z
Suppose 4*w - 6 = 2. Let g(a) = -3 - 3*a + 2*a + w + 2. Let z(s) = -s**2 - 7*s + 3. What is -5*g(r) + z(r)?
-r**2 - 2*r - 2
Let j(b) = 3*b + 1. Let d(x) = -x - 1. What is -d(l) + j(l)?
4*l + 2
Suppose 4*b - 3*m = 68 - 0, 4*b - 68 = 5*m. Let x = b + -22. Let u(o) = -3*o + 3. Let s(l) = -4*l + 4. Give x*u(h) + 4*s(h).
-h + 1
Let d(u) = 2*u - 1. Let l(h) = -h. Determine -5*d(t) - 4*l(t).
-6*t + 5
Let x = 12 + -30. Let y(d) = d**3 - d**2 - d - 1. Let a(g) = -8*g**3 + 9*g**2 + 9*g + 8. Calculate x*y(i) - 2*a(i).
-2*i**3 + 2
Let t(z) = -3*z - 7. Let a(s) = 2*s + 3. Give 5*a(x) + 2*t(x).
4*x + 1
Let t(u) = -455*u**3 - 39*u + 39. Let s(x) = 24*x**3 + 2*x - 2. Determine 39*s(o) + 2*t(o).
26*o**3
Let l(w) = 4*w + 2. Suppose -n = -5*z - 14, 3*n + 2*n - 18 = -z. Let q(g) = 3*g + 1. Determine n*l(f) - 5*q(f).
f + 3
Let v(t) = 4*t - 4. Suppose 2*l - 3*r + 4 = -23, 3*r + 15 = -5*l. Let i(g) = g - 3. Let h(o) = -5*o + 16. Let w(a) = l*h(a) - 33*i(a). What is -4*v(q) - 6*w(q)?
2*q - 2
Let d(o) = o + 1. Let g(m) = 9*m + 10. Let u(y) = 5*d(y) - g(y). Let h(i) = 2 + 5*i - 3*i + 0*i. Calculate 5*h(q) + 2*u(q).
2*q
Let s(u) = -8*u + 3. Let z(y) = -143*y + 55. What is -55*s(q) + 3*z(q)?
11*q
Let l(a) = a. Let v be l(4). Suppose -v = -4*t + 4. Let p(z) = z + 1. Let b be p(t). Let m(i) = 26*i - 16. Let g(w) = -5*w + 3. Determine b*m(x) + 16*g(x).
-2*x
Let y(b) = -4*b**2 - 5*b + 5. Let i(g) be the second derivative of 1/3*g**3 - g**2 + 0 + 1/6*g**4 + 3*g. Give -5*i(d) - 2*y(d).
-2*d**2
Let x(i) = -9*i**3 - 21*i**2 + 21*i + 21. Let m(b) be the second derivative of b**5/20 + b**4/6 - b**3/3 - b**2 - 9*b. What is -21*m(n) - 2*x(n)?
-3*n**3
Let q(r) = 10*r + 7. Let g(i) = -5 - 4*i - 4*i + i. Let y = 21 - 19. Suppose u + u + 2 = -3*b, -y*u + 14 = -b. Give u*q(j) + 7*g(j).
j
Let n(v) = 4*v**2 - 6*v**2 - 1 + v**2 + v. Let j(f) = -8*f**2 - 3*f**2 - 5 - 6 + 11*f + f**3. Give 2*j(k) - 22*n(k).
2*k**3
Let x(j) = -j**3 - 6*j**2 - 6*j + 7. Let g = -1 + 2. Let t(b) = -4 + 0 - b**2 + 5 - b. Calculate g*x(y) - 6*t(y).
-y**3 + 1
Let o(g) = -3*g - 8 - 2*g - 6*g. Let k(t) = -7*t - 5. Give -8*k(b) + 5*o(b).
b
Let r be -7 + (1*-1 - -2). Let w(p) = 7*p + 0*p + 0*p. Let b(q) = -10*q + 5*q + 5*q + 2*q. Calculate r*b(a) + 2*w(a).
2*a
Let v(l) = 5*l**2 - 2*l - 5. Let m(c) = -14*c**2 + 5*c + 14. Suppose h = -4 + 1. Determine h*m(s) - 8*v(s).
2*s**2 + s - 2
Let u(o) = -o - 3. Let i(x) be the third derivative of -x**4/24 - x**3/3 + x**2. Let m(q) = -q + 2. Let l = -4 + 9. Let a be m(l). Give a*i(n) + 2*u(n).
n
Let y(p) = -8*p**3 + 7*p**2 + 2. Let q(w) = -7*w**3 + 6*w**2 + 3. Give 7*q(r) - 6*y(r).
-r**3 + 9
Let i(t) = -2*t. Let l be i(7). Suppose 0 = x - 3 + 1. Let f be l/21*(-9)/x. Let g(p) = -p**3 + 3*p + 3. Let c(s) = 2*s**3 - 4*s - 4. Calculate f*c(v) + 4*g(v).
2*v**3
Let q(c) = 2*c**2 + 2*c + 1. Let f be -1*(0 + -1 + 8). Suppose 12 = 3*o - 0*v - v, 5*o + 5*v = 0. Let h(t) = 5*t**2 + 4*t + 2. What is f*q(i) + o*h(i)?
i**2 - 2*i - 1
Let n(t) = -6*t**2 - 9*t. Let a(o) = 3*o**2 + 5*o. Calculate 5*a(b) + 3*n(b).
-3*b**2 - 2*b
Let n(t) = 4*t - 5. Let u(l) = l + 1. Give -n(x) + 5*u(x).
x + 10
Let m(x) = -4*x + 6*x**2 - 2 + 4*x. Suppose 0 = 2*t - 4*v + 3 - 25, -v - 16 = -4*t. Let j(k) = 17*k**2 - 5. Determine t*j(w) - 8*m(w).
3*w**2 + 1
Let h(o) = -13*o + 5. Suppose -2*p = -4*p - 8. Let f be 58/12 - (-2)/12. Suppose 51 = d + d + f*m, -4*d - m + 75 = 0. Let k(q) = -3*q + 1. Give d*k(g) + p*h(g).
-2*g - 2
Let m(v) = -v**3 + 2*v + 17. Let u(i) = 3*i**3 - 5*i - 35. Calculate 5*m(o) + 2*u(o).
o**3 + 15
Let m(d) = 3*d**3 + 4*d - 2. Suppose 4*c - n - 23 = -0*n, -4*c + 3*n = -29. Let u(z) = -4*z**3 - 5*z + 2. Let w be (-12)/10*30/(-9). Determine c*m(k) + w*u(k).
-k**3 - 2
Suppose 0 = -3*d + 2 + 13. Let g(n) be the second derivative of 7*n**3/6 + n**2/2 - n. Let a(q) = 7*q + 1 + 6*q - 7*q. Calculate d*g(u) - 6*a(u).
-u - 1
Let k(l) = -4*l**3 + 5*l**2 + 5*l + 5. Let w(p) = 5*p**3 - 6*p**2 - 6*p - 6. What is 6*k(o) + 5*w(o)?
o**3
Let k(x) = x + 1. Let q(z) = -2*z + 1. Let b be q(-5). Let l(s) = -6*s - 5. Let o = 27 - 25. Suppose g - v = 2, -g = -2*g + 3*v + o. Give b*k(p) + g*l(p).
-p + 1
Let o(k) = -3*k**2 + 2*k. Let n(q) = 451 + 4*q**2 - 2*q - 451. Give -2*n(j) - 3*o(j).
j**2 - 2*j
Let l(c) = c**2 + 3*c + 2. Let f(j) = -3*j**2 - 9*j - 5. Calculate 2*f(m) + 7*l(m).
m**2 + 3*m + 4
Let p(j) = -7*j**3 - 3*j**2 + 3*j - 3. Let k(u) = -14*u**3 - 5*u**2 + 5*u - 5. Determine -3*k(q) + 5*p(q).
7*q**3
Let q(h) = -h**2 + h + 1. Let v(z) = z**3 - 2*z**2 + 2*z + 1. What is -q(y) + v(y)?
y**3 - y**2 + y
Let h(c) = -5*c - 13. Let y(k) = 2*k + 6. Calculate 3*h(m) + 7*y(m).
-m + 3
Let c(w) = 1. Let m(l) = 4*l**2 - 2*l + 8. Let o(g) = 4*c(g) - m(g). Let u(x) = 3*x**2 - 2*x + 3. Determine 4*o(b) + 5*u(b).
-b**2 - 2*b - 1
Let i(k) = -2*k + 4. Let j(m) = 2*m - 3. Determine 5*i(n) + 6*j(n).
2*n + 2
Let g(c) be the first derivative of -c**2/2 - 4*c + 1. Let n(i) = -i - 3. Let s(u) = -2*u**2 + 78*u + 75. Let m be s(40). Determine m*g(f) + 7*n(f).
-2*f - 1
Let h = -8 - -11. Let b(x) = -8*x + 1. Let z(u) = 7*u. Let k(d) = 2*b(d) + 3*z(d). Let v(t) = 4*t + 2. Determine h*k(a) - 4*v(a).
-a - 2
Let v = -12 - -13. Let m(c) = -c. Let r(i) = 6*i + 1. Let w(s) = -s**3 + 9*s**2 + 2*s - 13. Let j be w(9). Determine j*m(z) + v*r(z).
z + 1
Let g(d) = d - 1. Suppose 8 = -3*f - 4. Let c(o) = 3*o - 5. Determine f*g(z) + c(z).
-z - 1
Let j(u) = -20*u - 1. Let p(v) = 41*v + 2. Give -7*j(h) - 3*p(h).
17*h + 1
Let p(v) = v + 1. Let r(z) = -10*z - 6. Let h be (4 - (-1 - -2)) + -9. Determine h*p(g) - r(g).
4*g
Let b(o) = -o**2 - 3*o + 1. Let y(x) = -x. Let p = -6 - -3. Suppose -1 = 5*m + 3*h, -15 = -0*m - 5*m + 5*h. Give m*b(u) + p*y(u).
-u**2 + 1
Let v(f) = 8*f**2 + 1. Let u(h) = -h**2 + h + 1. Let j(d) = 5*d**2 - 3*d - 3. Let m(a) = j(a) + 3*u(a). What is 9*m(w) - 2*v(w)?
2*w**2 - 2
Let n(o) = -36*o + 21. Let c = -27 + 23. Let a(u) = 7*u - 4. Calculate c*n(z) - 21*a(z).
-3*z
Let w(r) = -2*r**2 + 5*r - 6. Let l(u) = -u + 1. Determine -4*l(s) - w(s).
2*s**2 - s + 2
Let u(z) = -z - 2. Let a(i) be the second derivative of -i**3/2 - 5*i**2/2 + 2*i. Give -4*a(c) + 11*u(c).
c - 2
Let b(s) = s - 4. Let g(n) = -1. Let t(p) = p - 3. Let l(v) = 4*g(v) - t(v). What is -b(y) + 2*l(y)?
-3*y + 2
Let z(b) = 2*b - 4. Let a(d) = 3*d - 3. What is 4*a(x) - 3*z(x)?
6*x
Suppose -y = -5*y + 4*r - 28, 2*r + 2 = 0. Let q(d) = -d**2 + 3*d - 3. Let v(s) = 3*s**2 - 8*s + 8. Give y*q(u) - 3*v(u).
-u**2
Let h(o) = 6*o + 2. Let g(d) = -4*d - 1. Calculate -7*g(w) - 5*h(w).
-2*w - 3
Let f(r) = 3*r**3 + 2*r