a). Let r = -4 - -3. Let c(s) = -s**2 - 3*s. What is r*c(y) + 3*k(y)?
y**2
Let n = 3 - 4. Let k(h) = 7*h**2 + 18*h - 1. Let q(u) = -u**2 - 3*u. Let y(p) = k(p) + 6*q(p). Let w(t) = 5*t**2 - 6. What is n*w(b) + 6*y(b)?
b**2
Let n(c) = -c. Let t(b) = 2*b - 6. Suppose 0*j = g + 2*j - 7, 3*g - 16 = -j. Let d be t(g). Let z(m) = d - 2 - 3*m - 1 + 1. What is -5*n(u) + z(u)?
2*u + 2
Let s(a) = 7*a + 13. Let g(z) = -2*z - 3. Determine 26*g(y) + 6*s(y).
-10*y
Let b(w) = 6*w + 9. Let p(k) = -9*k - 14. Let c(a) = 8*b(a) + 5*p(a). Let j(l) = 8*l + 6. Suppose -4*f - 4 = 20. Let z = 10 + f. Determine z*j(t) - 11*c(t).
-t + 2
Let t(g) = -10*g - 24. Let f(v) = 44*v - 5 - 17*v - 15*v - 14*v. Calculate -14*f(u) + 3*t(u).
-2*u - 2
Let t(o) = -o**2 - o - 1. Let x(b) = -b**2 - b - 3. Let h be x(4). Let a = h + 8. Let z be (-24)/a + (-3)/5. Let u(p) = p**2 + 2*p + 2. Give z*u(c) + 2*t(c).
-c**2
Let w(s) be the third derivative of 7*s**6/120 + s**4/6 + s**3 + 34*s**2. Let a(q) = q**3 + q + 1. Calculate 6*a(z) - w(z).
-z**3 + 2*z
Let h(d) = 9*d**2 - 2*d - 6. Let w(c) = 8*c**2 - c - 5. Let m(q) = 3*h(q) - 4*w(q). Let r(v) = -20*v**2 - 9*v + 9. What is 9*m(i) - 2*r(i)?
-5*i**2
Suppose -4*i = -m + 9, -3*i = 4*m + 1 + 1. Let o(r) = -2*r**3 - 5*r**2. Let j(l) = l**3 + 2*l**2. Calculate i*o(t) - 5*j(t).
-t**3
Let v(x) be the third derivative of -x**4/24 + x**3/6 - x**2. Let z = 2 - 0. Let j(a) = -4 + 3*a - z*a + a + 1. Calculate j(g) + v(g).
g - 2
Let g(m) = 2*m**2 + 26 - 48 + 23. Let f(v) = -v**2 - 1. Calculate -4*f(w) - g(w).
2*w**2 + 3
Let q(i) = -1. Let z(h) = 7*h + 1. Give 2*q(o) + z(o).
7*o - 1
Let h(m) = m**2 - 2. Let l(s) = -s**3 - s**2 + 5. Determine -5*h(o) - 2*l(o).
2*o**3 - 3*o**2
Suppose 0 = 5*y - 1 + 21. Let v(h) = -6*h**2 + 2*h + 1. Let f(o) = 5*o**2 - o - 1. Suppose -3*q + 2*q - 3 = 0. What is q*v(k) + y*f(k)?
-2*k**2 - 2*k + 1
Let l(o) = 5*o + 1. Let x be (3/6*-2)/1. Let w(s) = -s. Give x*l(p) - 2*w(p).
-3*p - 1
Let u(o) = o. Let p(w) = 15*w - 1. Determine p(f) + u(f).
16*f - 1
Let z(m) = -4*m**3 + 2*m**2 - m + 2. Let c(t) = -8*t**3 + 5*t**2 - 2*t + 3. What is 2*c(a) - 5*z(a)?
4*a**3 + a - 4
Let a(k) = -k**2 + 11*k - 1. Let m be a(11). Let r = 2 - m. Let z(x) = -5*x. Let q(p) = -16*p. Determine r*q(b) - 10*z(b).
2*b
Let f(q) = q. Let j(c) = 6*c - 24 + 24. Calculate 8*f(g) - j(g).
2*g
Let y(t) be the third derivative of -t**4/6 + t**3/2 + 43*t**2. Let v(a) = 17*a - 13. What is -2*v(f) - 9*y(f)?
2*f - 1
Let n(a) = 5*a**3 + 6*a**2 - a + 6. Let g(k) = 43 - k**3 - k**2 + 2*k**2 - 2*k**2 - 44. Give 6*g(v) + n(v).
-v**3 - v
Let v(t) = -2 + 1 + t + 3*t. Let j(m) = 3*m - 1. Give 6*j(b) - 5*v(b).
-2*b - 1
Let c(k) = -6*k**2 - k + 5. Let j(x) = 3*x**2 - 2. What is 2*c(p) + 5*j(p)?
3*p**2 - 2*p
Let x(f) = -2*f + 1. Let o(q) = -2*q + 1. Suppose -20 + 0 = 4*g. Determine g*x(d) + 6*o(d).
-2*d + 1
Let r(c) = 1. Let d(x) = -17*x + 187. What is 2*d(u) - 374*r(u)?
-34*u
Let t(s) = -3*s + 2. Let a be (-2)/(-3)*(4 + 2). Suppose 6 + 2 = a*w. Let n(l) = 16*l - 11. Calculate w*n(g) + 11*t(g).
-g
Let v(u) be the first derivative of u + 1. Suppose d = 4*a + 11, -1 = a + d - 2. Let b(o) = -o - 7. What is a*b(r) - 14*v(r)?
2*r
Let k(h) = -7*h + 6. Let c(t) = -3*t + 3. Give -5*c(u) + 2*k(u).
u - 3
Let g(w) = w**3 - w**2 - 8. Let d(h) = h**3 - 2*h**2 - 15. Calculate 6*d(n) - 11*g(n).
-5*n**3 - n**2 - 2
Let x(t) = 14*t + 17. Let k be -9*(4 + (-56)/12). Let v(z) = 5*z + 6. Suppose h + 4*r = -3*h - 60, -5*r = -5*h - 95. Determine h*v(g) + k*x(g).
-g
Let f(s) be the first derivative of s**2/2 - s + 2. Let l(h) = -6*h + 3. Determine -3*f(i) - l(i).
3*i
Let a(z) = -3*z**2 + 2*z + 2. Let l(s) = 1. Let k(q) = a(q) - 4*l(q). Let y(o) = -o**2 + o - 1. Let j be 6/(-9)*24/2. Let p = 7 + j. What is p*k(f) + 2*y(f)?
f**2
Let n(o) = -10*o**2 - 16*o + 16. Let d(b) be the third derivative of -b**5/30 - b**4/8 + b**3/2 + 11*b**2. Calculate -16*d(i) + 3*n(i).
2*i**2
Let k(d) = 3*d. Let v(n) = -7*n + 1. Suppose 4*y = 4 - 0. Let i = 2 - y. Let s = -1 - i. Give s*v(c) - 5*k(c).
-c - 2
Let w(c) = c**2 - c + 3. Let z(v) = v**2 - 2*v + 5. Let h(l) = -l**3 - 8*l**2 - 3. Let d be ((-9)/6)/((-3)/(-16)). Let p be h(d). Give p*z(r) + 5*w(r).
2*r**2 + r
Suppose -3*u - 25 = 5*v, -4*u + 3*v = -u + 9. Let p(i) = 9*i. Let f(g) = 8*g. Give u*p(h) + 6*f(h).
3*h
Let n(p) = -9*p**3 - 5*p**2 + 11*p + 7. Let b(w) = -32*w**2 + 15*w**2 + 3 + 5*w + 15*w**2 - 4*w**3. Calculate 7*b(t) - 3*n(t).
-t**3 + t**2 + 2*t
Let p(t) = 6*t**3 - 27*t**2 + 27*t - 27. Let n(m) = m**3 - 4*m**2 + 4*m - 4. Let z = 211 - 207. What is z*p(x) - 27*n(x)?
-3*x**3
Let u = -5 - -14. Let r(d) = 0 + 1 + d**2 + 2*d - 4*d**3 + 1. Let m(p) = -16*p**3 + 2*p**2 - p**3 + 2*p**2 + 9*p + 9. What is u*r(t) - 2*m(t)?
-2*t**3 + t**2
Let b(c) = -c + 4. Let m be b(3). Let k(g) = -4 + 4 + 1. Let d(q) = 7*q + 11. Let n(u) = -u - 1. Let s(l) = d(l) + 6*n(l). Determine m*s(h) - 5*k(h).
h
Let v(z) = -2*z - 2*z**2 + z + z**2 - 1. Let q(s) = 5*s**2 - s + 5 + 4*s + 0*s - 2*s. Suppose 4*d = -d - 5. What is d*q(m) - 3*v(m)?
-2*m**2 + 2*m - 2
Let d(q) = 5*q + 3. Let f(w) = 10*w + 5. Calculate -5*d(o) + 3*f(o).
5*o
Let v(b) = 5*b - 7. Suppose -4*u + 71 - 13 = -2*i, -71 = -5*u + i. Let x(g) = g - 1. Give u*x(q) - 2*v(q).
4*q
Let y(m) = 8*m**3 - 4*m**2 - 3. Let s(b) = -9*b**3 + 5*b**2 + 3. What is 6*s(n) + 7*y(n)?
2*n**3 + 2*n**2 - 3
Let j(g) = -g**3 - 3*g. Let i(z) = 4*z**3 - z**2 - z + 1. Let m be i(1). Suppose 4*w - c + 4 = 3*c, -w - c - m = 0. Let k(b) = b**3. Calculate w*k(y) - j(y).
-y**3 + 3*y
Let j(x) = x**2 - x - 1. Let u(s) = 5*s**2 + s - 2. Calculate 4*j(l) - u(l).
-l**2 - 5*l - 2
Let w(r) = r**3 - r. Let i(l) = -117*l**3 + 78*l. Calculate i(d) + 78*w(d).
-39*d**3
Let i(f) = 1. Let l(g) = -48 - 4*g + 42 + 3*g. Let z(d) = -18*i(d) - 2*l(d). Let o(j) = 2*j - 5. Calculate 7*o(t) - 6*z(t).
2*t + 1
Let m be 2 + 2/(-1) + 1. Let j(t) = -t**3 + t**2 + t - 1. Let d(w) be the second derivative of -w**5/20 - w**4/12 - w**3/3 + w + 30. Give m*d(l) + j(l).
-2*l**3 - l - 1
Let l(z) = -11*z + 0*z + 7*z + 1 + 8*z. Let f(d) = -d - 1. What is 2*f(b) + l(b)?
2*b - 1
Let i(p) = 18*p**2 - 26*p + 26. Suppose 3*s = -43 - 113. Let x(t) = 2*t**2 - 3*t + 3. Give s*x(k) + 6*i(k).
4*k**2
Suppose -5*r = -0*r - 5. Let a(k) = -k**2 + k + 1. Let n(d) be the first derivative of -3 - 5/2*d**2 - 5*d + 4/3*d**3. Determine r*n(h) + 5*a(h).
-h**2
Suppose 2*m - 3*r = 2*r + 18, 0 = 3*m - 3*r - 9. Let a(o) = 0 - 11*o**2 + 15*o**2 + 6. Let s(p) = -2*p**2 + 1 + p**2 + 2*p**2. Calculate m*a(k) + 5*s(k).
k**2 - 1
Suppose 4*s - 5*s - 7 = 0. Let c(u) = 11*u**2 - 11*u - 3. Let d(k) = 5*k**2 - 5*k - 1. Let p(l) = -l**2 + 7*l + 3. Let n be p(7). Determine n*c(v) + s*d(v).
-2*v**2 + 2*v - 2
Let u(r) = -1 + r + 2*r + 5*r**2 - 2*r - 4*r**3. Let d(f) = -5*f**3 + 6*f**2 + f - 1. Suppose -n + 5*n = m - 19, 0 = -4*m - 4. Determine n*d(x) + 6*u(x).
x**3 + x - 1
Suppose 0 = 3*p - 8 - 16. Let v(z) = -3*z**2 - 3*z + 6. Let r(c) = -2*c**2 - 2*c + 4. Calculate p*r(u) - 5*v(u).
-u**2 - u + 2
Let i(r) = -3*r**2 + r - 6. Let b(h) be the first derivative of -h**3/3 - h + 9. What is 5*b(n) - i(n)?
-2*n**2 - n + 1
Let t(b) = b**2 - b - 2. Let d(j) = 3*j**2 - 3*j - 6. Calculate 2*d(r) - 7*t(r).
-r**2 + r + 2
Let k(q) = 41*q**2 + 2*q + 2. Let y(f) = -820*f**2 - 41*f - 41. What is 41*k(w) + 2*y(w)?
41*w**2
Let v(b) be the second derivative of b**3/3 - b**2 + b. Let q(d) = -6*d + 7. What is -2*q(i) - 7*v(i)?
-2*i
Let d(r) = -10*r + 10. Suppose -10 = g + 4. Let k(z) = -3*z + 3. What is g*k(y) + 4*d(y)?
2*y - 2
Let c(a) = a + 5. Let r be 3/15*-5*-1*1. Let q(j) = -1. Determine r*c(l) + 5*q(l).
l
Let j(b) = 4*b**2 - 1. Let i(c) = c**2 + 1. What is -2*i(v) + j(v)?
2*v**2 - 3
Let m = -2 - -4. Let a(t) = t**3 - t - 4*t**3 - m - t**2 + 2*t**3. Let s = -3 + 12. Let y(j) = 5*j**3 + 4*j**2 + 5*j + 9. Determine s*a(o) + 2*y(o).
o**3 - o**2 + o
Let j(h) = -2*h + 9. Let a(s) = s - 4. Calculate -9*a(u) - 4*j(u).
-u
Let o = 26 + -20. Let k(z) = 2*z - 6. Let j(l) = -2*l + 5. Calculate o*k(h) + 7*j(h).
-2*h - 1
Let h(w) = 13*w + 1. Let a(o) = 38*o + 4. Calculate -2*a(v) + 7*h(v).
15*v - 1
Let r(f) be the third derivative of -f**5/120 - f**4/24 + f**3/3 - f**2. Let z(q) be the first derivative of r(q). Let a(h) = -4*h - 5. Calculate a(j) - 6*z(j).
2*j + 1
Le