3 + 3
Let d = 7 - 3. Let a(l) = -l**2 - 3*l - 4. Let z(f) = 2*f + 4*f - 10*f - 5 - f**2. Determine d*a(j) - 3*z(j).
-j**2 - 1
Let v(u) = -u**3 + u**2 - u. Let z(s) = 14*s**3 - 17*s**2 + 9*s - 6. Let a(x) = 5*x**3 - 6*x**2 + 3*x - 2. Let y(n) = 8*a(n) - 3*z(n). Determine 3*v(j) - y(j).
-j**3 - 2
Let m(y) = 1. Let d(g) be the first derivative of -g**2 - 6*g - 5. What is -d(t) - 4*m(t)?
2*t + 2
Let b(j) = -2*j**3 - 8. Let o(q) be the second derivative of -q**5/5 - 15*q**2/2 - 24*q. Calculate 11*b(p) - 6*o(p).
2*p**3 + 2
Let r(u) = 1856*u**3 - 319*u - 319. Let f(x) = -35*x**3 + 6*x + 6. What is 319*f(q) + 6*r(q)?
-29*q**3
Let j(x) = 2*x - 1 + x - 2*x. Suppose 0*y = 3*y + 15. Let d(i) = 6*i - 3. Determine y*j(n) + d(n).
n + 2
Let v(y) = -y - 5. Let m(d) = 1. Suppose -3 = -3*i, 0 = 4*q - 0*i - i - 3. Calculate q*m(x) + v(x).
-x - 4
Let p = 45 - 51. Let v(z) = -9*z**2 + 6*z - 6. Let w(f) = f**2 - f + 1. Give p*w(y) - v(y).
3*y**2
Let d(q) = 43*q**3 + q**2 - 3*q + 3. Let p(g) = -44*g**3 - 2*g**2 + 4*g - 4. Determine -4*d(w) - 3*p(w).
-40*w**3 + 2*w**2
Let f(x) = 14*x**2 + 2*x - 3. Let w(r) = 27*r**2 + 4*r - 7. Give -7*f(c) + 3*w(c).
-17*c**2 - 2*c
Let l(i) = 4*i**3 + 4*i + 1. Let m(n) = 5*n**3 + 5*n + 2. Determine 4*l(u) - 3*m(u).
u**3 + u - 2
Let k(v) = 2. Let u(f) = -f + 4. Calculate 9*k(l) - 4*u(l).
4*l + 2
Let u(r) = 7*r - 11. Let x(w) = -2*w + 4. Let t = -65 - -57. Calculate t*x(d) - 3*u(d).
-5*d + 1
Let q = 88 - 90. Let m(u) be the third derivative of u**4/12 - u**3/3 - u**2. Let f(s) be the first derivative of s**2/2 - s + 2. Calculate q*m(h) + 3*f(h).
-h + 1
Let y(n) = -n**2 + 5*n - 1. Suppose -s + 2 = -1. Let j(a) = -a**2 - 6*a - 3. Let d be j(-5). Let t(c) = -14*c + 3*c**2 + 3*c + d + 0. Determine s*t(o) + 7*y(o).
2*o**2 + 2*o - 1
Let r(l) = -1. Let o(t) = -2*t - 6. Let w = -30 - -29. Calculate w*o(i) + 5*r(i).
2*i + 1
Let d(f) = -71*f + 5. Let b(x) = 462*x - 33. Determine 5*b(m) + 33*d(m).
-33*m
Let g(q) = -3*q**3 - 8*q**2 + 4*q + 2. Let o(u) = -3*u**3 - 7*u**2 + 3*u + 1. Give 3*g(v) - 4*o(v).
3*v**3 + 4*v**2 + 2
Let c(z) = -5 + 2*z**2 + 6*z + 5 + 3 + 1. Let d(s) = -2*s**2 - 7*s - 5. What is 5*c(l) + 4*d(l)?
2*l**2 + 2*l
Let k(o) = -29*o**3 - 2*o**2 - 2*o - 2. Let z(p) = 204*p**3 + 15*p**2 + 15*p + 15. Determine 15*k(w) + 2*z(w).
-27*w**3
Let v(g) = 3*g - 1. Let a(m) = -m. Let d(x) = -1. Let h(y) = -4*a(y) + d(y). Suppose -5*s - 5*l + 30 = 0, -3*s + 0*l + 18 = -4*l. Determine s*v(k) - 5*h(k).
-2*k - 1
Suppose 0 = 2*t + 4*t - 12. Let l(p) = -12*p + 10. Let x(z) = z - 1. What is t*l(k) + 22*x(k)?
-2*k - 2
Let t(z) = 0 + 0 - 2*z**2 + 0. Let w(f) = -6*f**2. Let m be ((-9)/(-6))/((-6)/40). Give m*t(h) + 3*w(h).
2*h**2
Let f(z) be the second derivative of 3*z**3/2 - 7*z**2/2 - 18*z. Let q(h) = 5*h - 4. Give -3*f(l) + 5*q(l).
-2*l + 1
Let a(c) = -c + 1. Let d(r) = 9*r - 5. Determine -5*a(m) - d(m).
-4*m
Let a(u) be the third derivative of -u**6/30 + u**4/8 - u**3/2 + 15*u**2. Let s(j) = 3*j**3 - 2*j + 2. Give 4*a(v) + 6*s(v).
2*v**3
Let x(v) = 39*v - 1 - v**2 + 43*v - 83*v. Let s(i) = -i**3 + 4*i**2 + 4*i + 4. Suppose 2*d - 4 = 4. Calculate d*x(y) + s(y).
-y**3
Let f(c) = -11*c - 7. Let y(o) = 12*o + 8. Determine 6*f(n) + 5*y(n).
-6*n - 2
Suppose 2*l + 5*h - 19 = 3, -l = -3*h. Let k(y) = 13*y - 4 - 7*y - 10*y + y**3. Let m(c) = 6*c**3 - 23*c - 23. Give l*m(n) - 34*k(n).
2*n**3 - 2*n - 2
Let b(z) = -2*z**2 - 2*z - 2. Let c(o) = -6 - 2*o - o - 2*o**2 + 3. Let s = -357 + 354. Give s*b(t) + 2*c(t).
2*t**2
Let i(b) = 4*b - 4. Let q(o) = o - 1. Let d(f) = i(f) - 2*q(f). Let x be 4/(-14) - (-46)/14. Let z(y) = y - 1. Give x*d(c) - 5*z(c).
c - 1
Suppose 5*d = -5*u + 100, 0 = -u - 3 + 8. Let o = 20 - d. Let j(g) = -3*g**2 - 3*g - 1. Let a(x) = -6*x**2 - 5*x - 2. Give o*j(k) - 3*a(k).
3*k**2 + 1
Let w(f) = f**2 + 10. Let u(z) = 3. Determine 8*u(p) - 3*w(p).
-3*p**2 - 6
Let l(c) = c**3 + 5*c + 21. Let j = 24 + -13. Let r(w) = 2*w + 25 - w - 21. Suppose 4*i + 6 = -2. Give i*l(z) + j*r(z).
-2*z**3 + z + 2
Let v be (-4)/7 - (-12)/(-28). Let w(b) = -b + 1. Let n(c) = 3*c + 1. What is v*w(y) - n(y)?
-2*y - 2
Let a(i) be the second derivative of -i**4/3 + 7*i**2/2 + 51*i. Let s(q) = -q**2 + 1. Give 2*a(d) - 10*s(d).
2*d**2 + 4
Let f(x) = -x**3 - x - 1. Let i(t) = t**3 + t**2 + 2*t + 2. Suppose 0*h = 3*h + 6. What is h*f(a) - i(a)?
a**3 - a**2
Let s(n) = -n - 1. Let w(v) = 9*v + 11. Determine 5*s(y) + w(y).
4*y + 6
Let p(f) = -3*f**2 + 6*f + 5. Let t be (9/(-3))/(-3)*5. Let h(n) = 4*n**2 - 7*n - 6. Calculate t*p(m) + 4*h(m).
m**2 + 2*m + 1
Let f(i) = 2*i + 3. Let c(x) be the first derivative of x**2 + 2*x + 5. Determine 4*c(t) - 3*f(t).
2*t - 1
Let s(c) = 2*c + 3. Let m(a) = -a**3 + 9*a**2 - 8*a + 5. Let r be m(8). Let j(q) = -2*q - 2. Calculate r*s(y) + 6*j(y).
-2*y + 3
Let z(d) = 8*d**3 - 2*d**2 - 4. Let c(p) = -10*p**3 + 4*p**2 - 3*p. Let k(l) = -l**3 + l**2 - l - 1. Let y(v) = -c(v) + 3*k(v). Determine 4*y(a) - 3*z(a).
4*a**3 + 2*a**2
Let n(k) be the second derivative of -2*k**3/3 - k**2/2 + 13*k. Let x(v) = 5*v + 1. Give -7*n(u) - 6*x(u).
-2*u + 1
Let o(f) = f**3 - 4*f**2 - 3*f + 5. Let z(t) be the second derivative of t**4/4 + t**3/3 - 2*t**2 + 25*t. Calculate -2*o(l) - 3*z(l).
-2*l**3 - l**2 + 2
Let q(w) = 4 + 2 + w**2 + 0*w**2 + 8*w - 5*w. Let d(z) = -z**2 - 3*z - 7. What is -4*d(n) - 5*q(n)?
-n**2 - 3*n - 2
Let h(o) = -50*o**3 - 26*o**2 - 16*o + 26. Let k(r) = -10*r**3 - 5*r**2 - 3*r + 5. What is 3*h(d) - 16*k(d)?
10*d**3 + 2*d**2 - 2
Let y(z) = 4*z + 7 - 3 + 11*z - 13*z. Let i(h) be the first derivative of -5*h**2/2 - 9*h - 1. What is -3*i(c) - 7*y(c)?
c - 1
Let j(v) = v**2 - 6*v - 2. Let d be j(6). Let m(t) = 0*t**2 + 2 - 9*t**2 + 7*t**2 - 4*t. Let y(p) = p**2 + 3*p - 2. Give d*m(f) - 3*y(f).
f**2 - f + 2
Let k be (-3)/(6/(-16)) - (1 + 2). Let r(u) = 7*u - 3. Let y(z) = -8*z + 2. Let n(t) = 4*r(t) + 6*y(t). Let p(f) = -7*f. Calculate k*n(w) - 14*p(w).
-2*w
Let p(o) = -o**3 + 5*o**2 - 5*o. Let y(c) = 43 + 12*c + 2*c**3 - 43 - 12*c**2. Suppose -2*h - 4*f + 8*f = 4, 0 = -4*h - 4*f - 68. Calculate h*p(v) - 5*y(v).
2*v**3
Let n(s) = -17*s**2 - 6*s + 6. Let y(f) = f**2 + f - 1. Calculate n(r) + 6*y(r).
-11*r**2
Let t(w) = 2*w**2 + 2*w. Let m(v) = -v**2. Let o(f) = -f**3 - 6*f**2 + 17*f + 9. Let d be o(-8). Give d*m(q) + t(q).
q**2 + 2*q
Suppose 3*t = n - 3, 5*n - 10 = 3*n + 2*t. Let f(r) = 4*r**3 + 13*r**2 - 17. Let j(q) = -2*q**2 + 9 - q**3 - 5 - q**2. Calculate n*f(w) + 26*j(w).
-2*w**3 + 2
Let a(h) = h**2 - 1 - h + 0 + 0. Let t(i) = -8*i**2 + 4*i + 5. Suppose -4*d + 4*l + 10 = 38, 0 = -3*d + 4*l - 22. Give d*a(s) - t(s).
2*s**2 + 2*s + 1
Let o(t) = 4*t - 29. Let f(a) = -a + 10. Let j(y) = 11*f(y) + 4*o(y). Suppose 0 = -0*z - 3*z + 51. Let k(b) = 14*b - 17. Calculate z*j(s) - 6*k(s).
s
Let a(k) = k**2 + 6*k - 5. Let m(w) = -w + 1. Calculate -2*a(c) - 10*m(c).
-2*c**2 - 2*c
Let s be (-14)/(-8) + 15/12. Let w(y) = -17*y + 8. Let g(k) = -6*k + 3. Calculate s*w(q) - 8*g(q).
-3*q
Suppose -4*i = -16, 2*a + 2*i = 3*i + 14. Let y(h) = -4*h**2. Let z(t) = 8*t**2. Determine a*y(k) + 4*z(k).
-4*k**2
Let n(d) = -d. Let c(j) = 7*j + 2. Determine c(x) + 4*n(x).
3*x + 2
Suppose -9 = -15*p + 6*p. Let z(r) = 3*r**2 - 3*r + 3. Let m(v) = -v**3 + v**2 - v + 1. Calculate p*z(t) - 3*m(t).
3*t**3
Let r(j) = 4*j - 5. Let y(s) = s. Let u(x) = r(x) - 2*y(x). Let f = -1 + 3. Suppose -3*g - f*o = 1 - 9, 3*g + 5*o + 7 = 0. Let d(m) = -1. Give g*d(z) - u(z).
-2*z - 1
Let t(v) = 14*v**2 - 3*v. Let o(i) = -i**2 - i. Determine -3*o(a) + t(a).
17*a**2
Let g = 3 + 1. Let z(c) = g + 2*c**2 - 4 + 3*c + 4 - c**2. Let r(f) = f + 1. Give 5*r(i) - z(i).
-i**2 + 2*i + 1
Let h(m) = 7*m - 5. Let p(b) = 8*b - 6. What is -5*h(g) + 4*p(g)?
-3*g + 1
Let v(a) = a. Suppose -5*d + 3*d = -2. Let s(z) = -2*z**2 - 5*z - 4. Let t(i) = 2*i**2 + 5*i + 5. Let c(p) = 5*s(p) + 4*t(p). What is d*c(q) + 5*v(q)?
-2*q**2
Let u = 8 + -6. Let i(l) = -1 + l + 0*l - 1. Let d(h) = 2 + 0 - 2*h + 1. Calculate u*d(m) + 3*i(m).
-m
Let s(m) = 3*m**3 + 5*m**2 - 4. Let r(n) = -2*n + 3. Let g be r(-1). Let u(a) = -5*a**3 - 8*a**2 + 6. What is g*u(p) + 8*s(p)?
-p**3 - 2
Let s(r) = -r + 1. Let z(b) = -3*b - 2. Calculate s(x) + z(x).
-4*x - 1
Suppose p - 3*m = 15, 0 = -5*p - 5*m + 15. Let a(y) = -11*y**3 - 20*y - 6. Let g(f) = 4*f