*z - 2
Let v(w) = w**3 + w**2 + w - 1. Let q(j) = -9*j**3 + 7*j**2 + 5*j - 8. Determine -q(x) + 6*v(x).
15*x**3 - x**2 + x + 2
Let l = 6 - 12. Let f(q) = -15*q**3 - 85*q + 85. Suppose 0 = -2*p - 74 - 96. Let g(r) = r**3 + 6*r - 6. What is l*f(m) + p*g(m)?
5*m**3
Let l(p) = p**2 + 2*p - 1. Let j(c) = c**2 + 19*c + 7. Determine j(d) - 2*l(d).
-d**2 + 15*d + 9
Suppose x = -4*y - 10, 4*y = -2*x + 2*y + 10. Let a(r) = 3*r + 2. Let f(u) be the second derivative of u**3/6 + u**2/2 - 45*u. Give x*f(w) - 5*a(w).
-5*w
Let v(j) be the third derivative of -j**5/12 - j**4/8 - 4*j**2 - 45. Let p(y) = y**2 + y - 1. What is 3*p(u) + v(u)?
-2*u**2 - 3
Let n be -6 - ((-9)/27)/((-2)/(-6)). Let l(t) be the second derivative of -t**2/2 - 3*t. Let p(r) = r - 2. What is n*l(g) + 3*p(g)?
3*g - 1
Let u(i) = 106*i**2 - i + 7. Let x(v) = v**2 + 1. Calculate -u(q) + 6*x(q).
-100*q**2 + q - 1
Suppose 54*v = 35*v - 114. Let j(o) = -6*o**2 - 2*o. Let g(q) = -12*q**2 - 4*q. What is v*g(l) + 11*j(l)?
6*l**2 + 2*l
Suppose -11*a + 3 = -10*a. Let i(u) = 3*u**a - 13*u**3 + 9*u**3 + 1. Let f(n) = -4*n**3 - n. Give f(o) - 2*i(o).
-2*o**3 - o - 2
Let b(i) = -1004*i + 1. Let p(f) = -501*f. Determine -2*b(y) + 5*p(y).
-497*y - 2
Let b(w) = 17*w**3 - 8*w - 8. Suppose 3*a + 20 = -4*q, -5*q = -7*q - 5*a + 4. Let i(u) = 2*u + 3 - u**2 + u - 6*u**3 + u**2. Give q*i(r) - 3*b(r).
-3*r**3
Let h(l) = 0 - 2*l**2 + 1 + l**2. Let w = -3 + 8. Let t(f) = -6 + 2 + 6 - w*f**2. Calculate -4*h(k) + t(k).
-k**2 - 2
Let u(o) = -o**3 - 14*o**2 + 20*o + 21. Let r be u(-15). Let v = -55 - r. Let h(k) = k**2 - 1. Let q(d) = -4*d**2 + 5. Determine v*q(f) - 5*h(f).
-f**2
Let v(t) = -1 + 3*t - 3*t - t + 2*t. Let m(d) = 4*d - 2. Calculate 3*m(a) - 10*v(a).
2*a + 4
Let q(p) = 63*p**2 - 2*p + 1. Let z(r) = -252*r**2 + 8*r - 6. Calculate -9*q(b) - 2*z(b).
-63*b**2 + 2*b + 3
Suppose 13*h - 5*h - 88 = 0. Let n = -6 + h. Let v(t) = -3*t**2 - 2*t - 3. Let p(q) = -7*q**2 - q - 7*q**2 - 4*q + 7*q**2 - 6. Give n*v(a) - 2*p(a).
-a**2 - 3
Let o(h) = h**2 - 6*h. Let x be o(5). Let d(k) = 7*k**3 - 5*k**2. Let z(v) = -6*v**3 + 6*v**2. Give x*z(t) - 6*d(t).
-12*t**3
Let z(p) = -p**2 + p - 1. Let s(x) = 5*x**2 - 6*x + 15. What is -s(c) - 4*z(c)?
-c**2 + 2*c - 11
Let r(y) = -19*y**3 - 2*y**2 - 5*y + 12. Let x(n) = 20*n**3 + 3*n**2 + 6*n - 14. What is -6*r(g) - 5*x(g)?
14*g**3 - 3*g**2 - 2
Let s(f) = f**2 + 3*f + 2. Let h = 3 - 15. Let k = h - -15. Let m(x) = 3*x**2 + 8*x + 6. Determine k*m(p) - 8*s(p).
p**2 + 2
Let a(s) = -4*s + 1. Let v(y) = 1. Let l(h) = 2. Let z(k) = -3*l(k) + 7*v(k). Calculate a(n) + 2*z(n).
-4*n + 3
Let c(d) = -57706*d**3 - 1462*d**2. Let z(k) = 473*k**3 + 12*k**2. Give -6*c(j) - 731*z(j).
473*j**3
Suppose p - 2 = -p. Suppose 2*a - 15 = 5*m - p, -5*a - 3*m - 27 = 0. Let d(l) = -2*l**2 - 7*l + 3. Let f(c) = -c**2 - 4*c + 2. Determine a*d(g) + 5*f(g).
g**2 + g + 1
Let r(i) = 97*i + 4. Let w(m) = 292*m + 11. Determine -11*r(j) + 4*w(j).
101*j
Let g(j) = 8*j**2 - j**2 - 4*j**2 - 11*j - 2. Let u(c) = -c**2 - 1. Let a(k) = g(k) - 2*u(k). Let x(i) = 2*i**2 - 5*i. Determine -3*a(y) + 7*x(y).
-y**2 - 2*y
Suppose -3*s + 4*h = -31, 3*s - 47 = -2*s + 2*h. Suppose s*x - 68 - 67 = 0. Let g(k) = -36*k**2 + 15. Let u(m) = 5*m**2 - 2. What is x*u(z) + 2*g(z)?
3*z**2
Suppose 13 = -5*r - 2*j, 0 = r + 2*j + 1 - 0. Let u = -1 - r. Let x(h) = 4*h**u - 2*h + 0*h - h - 13. Let y(v) = -v**2 + v + 4. Give -2*x(l) - 7*y(l).
-l**2 - l - 2
Let n(u) = 7*u**2 + 115*u + 5. Let y(p) = 8*p**2 + 115*p + 6. Give -6*n(t) + 5*y(t).
-2*t**2 - 115*t
Let j(b) = -6*b**2 - 55*b. Let z(v) = 2*v**2 + 18*v. What is 2*j(l) + 7*z(l)?
2*l**2 + 16*l
Let d(u) = 7*u**2 + 2*u + 6. Let x(y) = y**2 + 1. Let g(z) = z**3 - 17*z**2 + 52*z - 139. Let n be g(14). Give n*d(k) - 5*x(k).
2*k**2 + 2*k + 1
Let n(r) = 10*r**2 + 2*r - 3. Let v(p) = -9*p**2 - p + 3. What is -4*n(y) - 5*v(y)?
5*y**2 - 3*y - 3
Suppose 3*u - 3*y + 9 = 0, -5*u - 4*y + 5*y + 1 = 0. Let a(m) = -2*m + 4. Let j(v) = -v + 1. Determine u*a(x) - 4*j(x).
2*x
Suppose 0 = -5*t + 4*r - 1 - 0, -t + 4*r = 13. Let h(u) = -3*u**2 + 11 - 16 + u**3 - 4*u**t. Let f(m) = -3*m**3 - 4*m**2 - 6. Give 3*f(b) - 4*h(b).
3*b**3 + 2
Let u(z) = 2*z**3. Let c(n) = -11*n**3 - 17*n + 34. Let x(k) = -2*k**3 - 3*k + 6. Let t(r) = -6*c(r) + 34*x(r). Give 3*t(w) + 2*u(w).
-2*w**3
Suppose 0 = -5*n - 10, 2*b + 5*n = -17 - 5. Let t(w) = -w. Let d(f) be the first derivative of 7/2*f**2 + 0*f - 1 - 1/3*f**3. Give b*t(v) - d(v).
v**2 - v
Let o(j) = -9*j**2 - 4*j**3 - 13*j + 2*j**3 + 0*j**3. Let p(x) = 2*x**2 + x**3 - 33049*x + 2*x**2 + 33055*x. Determine 6*o(y) + 13*p(y).
y**3 - 2*y**2
Let m(x) = -14*x - 20. Let a(c) = -9*c - 14. Determine 8*a(t) - 5*m(t).
-2*t - 12
Let c(h) = 5*h**2. Let a(f) = 5*f**2 - 8. Let z(u) = u**2 - 2. Let s(i) = -a(i) + 4*z(i). Calculate -c(o) - 6*s(o).
o**2
Let d(v) = 8*v**2 - v + 1. Let j be d(-2). Let k = j + -37. Let n(m) = -m - 4. Let q(z) = -z**3 - 3. Determine k*n(r) + 3*q(r).
-3*r**3 + 2*r - 1
Let w(c) = -2*c - 53. Let v(h) = -2*h - 51. What is -3*v(b) + 2*w(b)?
2*b + 47
Let i(w) = 14*w**3 + 11*w. Let x(h) = -187*h + 3*h**3 - 10*h**3 + 181*h. Give 6*i(f) + 11*x(f).
7*f**3
Let m(u) = -2*u**3 - u**2 - 6*u + 5. Suppose 9*w + 12 = 11*w. Let q(d) = 2*d**3 + 7*d - 6. Give w*m(g) + 5*q(g).
-2*g**3 - 6*g**2 - g
Let p(i) = -i + 1. Let y(g) = 13*g - 10. Give -3*p(q) + y(q).
16*q - 13
Let g(c) = -5*c**3 - 3*c**2 - 4*c - 3. Let f(r) be the first derivative of -9*r**4/4 - 5*r**3/3 - 7*r**2/2 - 5*r - 13. What is 3*f(u) - 5*g(u)?
-2*u**3 - u
Let h(d) be the third derivative of -d**4/6 - 2*d**3/3 - 4*d**2 - 57. Let k(b) = b**2 + 7*b + 8. Give 7*h(z) + 4*k(z).
4*z**2 + 4
Let t(p) be the second derivative of -p**5/20 + p**4/12 + p**3/6 + p**2/2 + 5*p + 14. Let w(s) = s**2 + s**2 + 2*s + 2 + 0*s. Give -4*t(j) + 2*w(j).
4*j**3
Let s(l) = -23*l. Let i(q) = 23*q. Let b be (-15)/13 + -3 - (-6)/39. Determine b*s(d) - 3*i(d).
23*d
Let q(r) = 42*r - 28. Let z(i) = -i - 3. Calculate -q(m) + 8*z(m).
-50*m + 4
Let r(y) = -y**2. Suppose 2*c - c - 5 = 0. Let b(p) = 2*p**2 + 1. Let v = 2325 + -2324. Determine c*r(z) + v*b(z).
-3*z**2 + 1
Let x(w) be the third derivative of -w**4/24 - w**3/2 + 2*w**2. Let c be x(3). Let u(r) = -3*r + 6. Let b(z) = -4*z + 7. Calculate c*b(n) + 7*u(n).
3*n
Let l(p) = -2*p - 462. Let a(c) = c + 154. What is -8*a(z) - 3*l(z)?
-2*z + 154
Let u(f) be the second derivative of -f**4/12 - f**3/6 - f**2/2 - 639*f. Let c(o) = -14*o**2 - 12*o - 12. Determine -c(r) + 12*u(r).
2*r**2
Let k(q) = -2*q**3 + 8*q**2 + 6*q + 3. Let f(g) = -2*g**3 + 9*g**2 + 7*g + 1. Calculate 6*f(d) - 7*k(d).
2*d**3 - 2*d**2 - 15
Let c(x) = -25*x**2 - 3*x + 5. Let b(q) = -24*q**2 - 4*q + 4. Determine 3*b(m) - 2*c(m).
-22*m**2 - 6*m + 2
Let k(t) = 24*t**3 + 4*t - 5. Let y(u) = -47*u**3 - 7*u + 9. Calculate 11*k(d) + 6*y(d).
-18*d**3 + 2*d - 1
Let h(q) = -3*q**3 + 4*q**2 - 4. Let r(w) = -4*w**3 + 5*w**2 - 5. Suppose -4*v + 384 = 368. Give v*r(m) - 5*h(m).
-m**3
Suppose -11 = f - 5*v, -v - v + 6 = 0. Let c = 5 - f. Let u(g) = g + 1. Let q(d) = -d**2 + 5*d + 3. Let w be (0 - 1)*(6 - 3). What is c*q(s) + w*u(s)?
-s**2 + 2*s
Suppose -3*n + 60 = -8*n. Let q be 2/8 - 201/n. Let l(y) = 7*y - 4. Let x(z) = 20*z - 11. Let i = -1118 - -1112. Determine i*x(t) + q*l(t).
-t - 2
Let u(v) = 4. Let a(b) = -b - 3. Let x(y) = 2*y**3 - 7*y**2 - y + 1. Let l be x(3). Let n = 8 + l. Determine n*u(r) - 4*a(r).
4*r
Let j(d) = -10*d**3 + 10*d**2 + 17*d + 7. Let v(a) = -5*a**3 + 4*a**2 + 9*a + 3. Determine 2*j(y) - 5*v(y).
5*y**3 - 11*y - 1
Let p(k) = 12*k**3 + 3*k**2 - 5*k - 4. Let h(a) = a**2 - a - 1. Give 4*h(r) - p(r).
-12*r**3 + r**2 + r
Let y(h) = 2*h + 37. Let t(q) = q - 4. Give -2*t(p) - y(p).
-4*p - 29
Let g(p) = -66*p - 12. Let t(y) = -y + 3. Give -g(n) - 3*t(n).
69*n + 3
Let r(n) = -6*n**2 + 8*n + 2. Let c(a) = -2*a**2 + 4*a + 1. Give -5*c(h) + 2*r(h).
-2*h**2 - 4*h - 1
Suppose -86*t = -126*t + 80. Let x(k) = 2*k + 4. Let u(a) = 1 - 3 + 1. Calculate t*u(v) + x(v).
2*v + 2
Let k(a) = -7*a**3 + 63*a**2 + 3*a. Let v(u) = 11*u**3 - 92*u**2 - 5*u. What is -8*k(b) - 5*v(b)?
b**3 - 44*b**2 + b
Let a(r) = 0 + 3 + r + 4*r**2 + r**3 - r**2. Let w(q) = q**3 - q**2 - q - 1. Let p be 4/(-1)*2*(6 - 7). Suppose 0 = g + 9 - p. Determine g*a(s) - w(s).
-2*s**3 - 2