t v(k) = -2*a(k) + 11*c(k). Let u(s) = 4*s**2 + 4*s - 2. Determine -4*u(q) + 3*v(q).
-q**2 - q - 1
Suppose -3*p + 3*w - 24 = 0, 3*w + 17 = -5*p + 1. Let h(s) = -9*s**2 + s - 7. Let x(c) = -4*c**2 - 3. What is p*x(j) + 2*h(j)?
2*j**2 + 2*j + 1
Let g(t) = -t**3 + t**2 - 1. Let l(n) = -10*n**3 + 8*n**2 - 8. Let m(u) be the second derivative of u**4/12 - u**2/2 + u. Let i be m(3). Give i*g(o) - l(o).
2*o**3
Let b(q) = -4*q**2 + 2*q + 7. Let h(k) be the third derivative of -k**5/30 + k**4/24 + 2*k**3/3 - k**2. Let d = 76 + -71. Calculate d*h(f) - 3*b(f).
2*f**2 - f - 1
Let x = 1 + -2. Let s = -4 - 1. Let u = x - s. Let g(m) = 6*m - 4. Let a(t) = -7*t + 5. Give u*a(c) + 5*g(c).
2*c
Let r(k) = -33*k**2. Let w(m) = 874*m**2. Give 133*r(o) + 5*w(o).
-19*o**2
Let m(y) = -y**3 + 6*y**2 + 8*y - 5. Let z be m(7). Let q(x) = 4*x**3 + 4*x**2 - 2*x + 1. Let o(k) = -17*k**3 - 17*k**2 + 9*k - 4. Give z*o(t) + 9*q(t).
2*t**3 + 2*t**2 + 1
Let h be (-28)/8*(-4)/14. Let b(n) = n. Let q be 6/3*(-10)/4. Let o(z) = 4*z. Determine h*o(x) + q*b(x).
-x
Let y(c) = 3*c**2 - 3*c - 4. Let x(b) = -b**2 + b + 1. Let s = -5 - -6. Give s*y(o) + 2*x(o).
o**2 - o - 2
Let h(m) = -5*m - 6. Let u = 43 - 26. Suppose u = 4*t - 7. Let j(k) = -4*k - 5. Give t*j(b) - 5*h(b).
b
Let a(b) = -8*b + 1. Let s(d) = -17*d + 1. What is 5*a(o) - 3*s(o)?
11*o + 2
Let s(p) = p. Let y(o) = -2 - 4*o + 1 - 1. Let m(v) = 2*v - 16. Let a = 5 - -2. Let z be m(a). What is z*s(q) - y(q)?
2*q + 2
Let w(g) = -7*g**2 + g. Let p(j) = 4*j**2. What is -7*p(b) - 3*w(b)?
-7*b**2 - 3*b
Let b(l) be the first derivative of -l**2 - 7*l - 17. Let o(z) = -1. What is b(h) - 4*o(h)?
-2*h - 3
Let t(v) = 7*v. Suppose -4*n + 4 = -2*n. Let h(q) = 3*q. Let o(w) = -w**3 + 8*w**2 - 2*w + 11. Let p be o(8). What is n*t(b) + p*h(b)?
-b
Let m(g) = 8*g**2 - 5*g + 2. Let q(h) = -1. Let v(p) = -m(p) + 3*q(p). Let k(z) = z**2 - z + 1. Give 5*k(c) + v(c).
-3*c**2
Let r(c) = -c**2 + c. Let g(f) = 2*f**2 + 2*f - 2. Give -g(d) - r(d).
-d**2 - 3*d + 2
Let x(y) = -781*y**3 + 143*y**2 - 143*y + 143. Let v(s) = 11*s**3 - 2*s**2 + 2*s - 2. Give -429*v(q) - 6*x(q).
-33*q**3
Let i(f) = -f**2 - 3*f + 3. Let w(a) = a**2 + 4*a - 4. Calculate 5*i(b) + 4*w(b).
-b**2 + b - 1
Let z(g) = -7*g**2 - 3. Let q(f) = 8*f**2 + 3. Suppose -2*o - 5*s - 32 = 0, -5*o + 2*s - 5*s - 42 = 0. Give o*q(x) - 7*z(x).
x**2 + 3
Let g(l) = 10*l**3 + 12*l**2 + 12*l + 10. Let t(a) = -4*a**3 - 5*a**2 - 5*a - 4. Suppose -4*z + 12 = -0*z. Suppose z*n + 15 = -0. Determine n*g(p) - 12*t(p).
-2*p**3 - 2
Let k be (-3)/(-6)*(1 + -3). Let c = 0 - k. Let t(a) = 2*a - 3*a + 7*a**3 + 1 - 9*a**3. Let j(f) = f**3 + f - 1. Determine c*t(b) + j(b).
-b**3
Let i(q) be the first derivative of -3*q**2 - 2*q + 9. Let r(w) = -14*w - 9. Let u(v) = 21*v + 13. Let y(d) = 7*r(d) + 5*u(d). Determine 5*i(h) + 4*y(h).
-2*h - 2
Let h(q) = -3*q**2 + 3*q + 5. Let n(i) = -2*i**2 + 2*i + 3. Give 6*h(u) - 10*n(u).
2*u**2 - 2*u
Let f(c) be the first derivative of -7*c**3/3 - 2*c**2 + 5*c + 8. Suppose -21 = 2*i - 9. Let y(j) = -8*j**2 - 5*j + 6. Calculate i*f(z) + 5*y(z).
2*z**2 - z
Let c(p) = 9*p + 3. Let s(q) = -1. What is c(k) + 5*s(k)?
9*k - 2
Let c(f) = -15*f**3 - 2*f**2 - 2*f. Let a(y) = y. What is 2*a(q) + c(q)?
-15*q**3 - 2*q**2
Let c(r) = -1 + r - 4*r - 2. Let o(n) = 4*n + 4. Suppose 2*l = 2*v + 6, 0 = -v + 2*v + 5*l - 9. Let i be 1 - (1 - 1) - v. Give i*o(x) + 3*c(x).
-x - 1
Let y be (13/13)/((-1)/(-13)). Let b = 11 + -7. Suppose 3*z - b = 14. Let w(k) = 2*k**2. Let m(j) = -4*j**2. Determine y*w(n) + z*m(n).
2*n**2
Let a(q) = -3*q**2 - 21*q + 3. Let g(v) = 5*v**2 + 42*v - 5. Give -7*a(h) - 4*g(h).
h**2 - 21*h - 1
Suppose -7*j + 2*j = 40. Let m(g) = -102*g + 0 + 105*g - 4 - 9*g**2. Let z(w) = 14*w**2 - 5*w + 6. Give j*m(b) - 5*z(b).
2*b**2 + b + 2
Let m(k) = 2*k**2 + 0 - k + 3 - 6. Let y(u) = 3*u**2 - 2*u - 4. Give 4*m(n) - 3*y(n).
-n**2 + 2*n
Let q(c) = c**3 + 3*c**2. Let d(l) = 2*l**3 + 4*l**2. Give -2*d(u) + 3*q(u).
-u**3 + u**2
Let i(b) = -32*b**2 - 3. Let s(r) = 511*r**2 + 49. Calculate -49*i(a) - 3*s(a).
35*a**2
Let s(b) = 1. Let i(y) = 9*y + 13. Let g(p) = -5*p - 7. Let k(z) = 7*g(z) + 4*i(z). What is 2*k(w) - 7*s(w)?
2*w - 1
Let s(a) = -a**2 - 1. Let f(x) = -20*x**2 - 6. Calculate -f(y) + 6*s(y).
14*y**2
Let w(a) = a**3 - 2*a**2 - 2*a + 2. Let g(t) be the first derivative of -t**4/2 + 5*t**3/3 + 5*t**2/2 - 5*t + 8. Give 6*g(l) + 15*w(l).
3*l**3
Let r be ((-10)/(-4) + -2)*-4. Let a(j) = j + 2. Let l(q) = -1. Suppose 0*c + 4*c = -12. Determine c*l(w) + r*a(w).
-2*w - 1
Let m(o) = -9*o**2 - 15*o + 2. Suppose -33*x + 35*x = -12. Let a(t) = 5*t**2 + 8*t - 1. Suppose 0 = 5*b + 31 + 24. Calculate b*a(q) + x*m(q).
-q**2 + 2*q - 1
Let b(s) = -11*s + 26. Let v(c) = 4*c - 9. Calculate -6*b(f) - 17*v(f).
-2*f - 3
Let g(u) = -2*u**2 + 8*u + 3. Let h(y) = y + 1. Let t(o) = -g(o) + 2*h(o). Let x(q) = 2*q**2 - 7*q - 1. Determine 6*t(d) - 5*x(d).
2*d**2 - d - 1
Let h(k) = -40*k - 2. Let c(f) = -f. Calculate -3*c(j) - h(j).
43*j + 2
Let k(j) = -32*j + 7. Let u(s) = -11*s + 2. Give -2*k(m) + 7*u(m).
-13*m
Let n(v) = -10*v**2 + 6*v - 6. Let c(o) = 31*o**2 - 17*o + 17. What is -6*c(g) - 17*n(g)?
-16*g**2
Let o(u) = -3*u. Let c = -5 - -9. Let y(t) be the third derivative of 5*t**4/24 - 11*t**2. What is c*y(x) + 7*o(x)?
-x
Let l(q) = -14*q + 19. Let u(p) = -9*p + 13. Give -5*l(c) + 7*u(c).
7*c - 4
Let b(k) = -2 + 0*k + 5*k - 4*k. Let v(y) = 1. Let m(t) = -t**3 - t**2 + 4*t + 3. Let g = -14 + 12. Let d be m(g). Calculate d*b(w) - 2*v(w).
-w
Let i(o) = -4*o**3 - 7*o**2 + 5. Let q(d) = -5*d**3 - 8*d**2 + 6. What is -4*i(f) + 3*q(f)?
f**3 + 4*f**2 - 2
Let r(b) = -b**2 + 0*b + 2*b**2 + 9*b - 2*b**2 + 9*b**3. Let h(q) = -14*q**3 + 2*q**2 - 14*q. Calculate 5*h(a) + 8*r(a).
2*a**3 + 2*a**2 + 2*a
Let m(a) = -23*a. Let c(i) = -23*i. Determine -5*c(q) + 6*m(q).
-23*q
Suppose 3*n - 2 = -5*u, n + 5*u - 2*u - 6 = 0. Let b(p) = 2*p**2 - 1. Let m = 1 + 4. Let w(s) = 2*s**2 - 1. Give m*w(v) + n*b(v).
-2*v**2 + 1
Let u(x) = 3*x**3 + 3*x - 13. Let w(a) = -2*a**3 - 2*a**2 - 2*a + 9. Let q(k) = k**2. Let b(m) = 2*q(m) + w(m). Determine -7*b(c) - 5*u(c).
-c**3 - c + 2
Suppose 2*i + 0*i + 4 = 0. Let o(f) = -2*f**2 - 2*f - 4. Suppose 0 = 2*t, 5*j - 6*t - 15 = -t. Let d(w) = -w**3 - 3*w**2 - 3*w - 5. Determine i*d(b) + j*o(b).
2*b**3 - 2
Let a(t) = t - 1. Let c be a(2). Let w(n) = -1. Let z(b) = b + 6. Let y(r) = 6*w(r) + z(r). Let j(x) = 2*x. What is c*j(s) - 3*y(s)?
-s
Let h(p) = -p**2. Suppose -4*l = -3*l + 1. Let k(z) = 0*z + 7*z**2 + 0*z. Determine l*k(y) - 6*h(y).
-y**2
Let u(v) = -5*v**3 - v**2 - 5. Let k(b) = -14*b**3 - 2*b**2 - 14. Calculate -4*k(r) + 11*u(r).
r**3 - 3*r**2 + 1
Let h(a) = 80*a. Let x(t) = -159*t. Determine -7*h(r) - 3*x(r).
-83*r
Let z(f) = -2*f**3 + 4*f**2. Let d(x) = x**3 + x + 1. Let y(n) = 4*n**3 - 5*n**2 + n + 1. Let l(r) = d(r) - y(r). Calculate 5*l(p) - 6*z(p).
-3*p**3 + p**2
Let b(m) = -5*m**2 + 1. Let j(a) = -6*a**2 + a + 2. Let x(f) = 3*b(f) - 2*j(f). Let k(s) = 7*s**2 + 4*s + 2. What is -2*k(g) - 5*x(g)?
g**2 + 2*g + 1
Let n(k) = 238*k**2 + 84. Let y(c) = 14*c**2 + 5. Determine -5*n(v) + 84*y(v).
-14*v**2
Let o(b) = 5*b**2 + 7*b. Let h(y) be the third derivative of -7*y**5/30 - 5*y**4/6 - 31*y**2. What is -6*h(q) - 17*o(q)?
-q**2 + q
Let f(n) = -n - 1. Let w(p) = p - 1. Let s(k) = k. Let h(q) = -2*s(q) + w(q). Determine 7*f(y) - 5*h(y).
-2*y - 2
Let r(q) = -7*q**3 + 8*q**2 - 8. Let z(w) = 2*w**3 - 3*w**2 + 3. Determine 3*r(v) + 8*z(v).
-5*v**3
Let b(k) = 2*k**2 - 3*k + 3. Let y(c) = c**2 - c + 1. What is 4*b(z) - 11*y(z)?
-3*z**2 - z + 1
Let z(y) = -3*y + 1. Suppose 0*t + 3*t = 0. Suppose t*p = 2*p - 4. Let b(w) = 0 + 3 - 9*w + p*w. Determine -2*b(g) + 5*z(g).
-g - 1
Let n(j) = j**3 + 7*j - 5. Let c(v) = v**3 + 6*v - 5. Give -7*c(d) + 6*n(d).
-d**3 + 5
Let w(g) = -g**2 + 4*g + 4. Let j(b) = b**2 - 3*b - 5. Calculate 5*j(n) + 4*w(n).
n**2 + n - 9
Let t(m) = -8*m - 2. Let s be (1 + -4)*21/(-9). Let u(r) be the second derivative of 7*r**3/6 + r**2 - 3*r. What is s*u(x) + 6*t(x)?
x + 2
Let v(b) = -b + 6. Let x(w) = -5. Let s = 84 + -78. Determine s*x(h) + 5*v(h).
-5*h
Let x(i) = 4*i - 7. Let k(n) = 3*n - 8. Determine -5*k(v) + 6*x(v).
9*v - 2
Let l(d) = -1 + 38*d - 3 - 36*d - d**2. Let g(s) = -2*s**2 + 3*s -