y**2 - 2*y + 2
Suppose 14 = -2*j + 3*c, -19 = 3*j + c - 5*c. Let r(x) = 5*x**3 + 3*x**2 + 6*x. Let g(b) = -b**3 - b**2 - b. Determine j*r(l) - 6*g(l).
l**3 + 3*l**2
Let p(u) = u**3 - 4*u**2 + 2*u + 2. Let k be p(3). Let v(g) = 3*g**2 + 6*g - 1. Let j(i) = i**2 + i. What is k*v(a) + 5*j(a)?
2*a**2 - a + 1
Let t be 3/(-5) - 110/25. Let y be t/3*(1 + 2). Let m(s) = 2*s - 2. Let u(a) = -a + 1. Determine y*u(v) - 3*m(v).
-v + 1
Let m(c) = -c**3 + 1. Let i(g) = 50*g**3 - 75. Determine -i(j) - 75*m(j).
25*j**3
Let n(b) = -2*b + 15. Let w(o) = 2*o - 16. Determine -5*n(t) - 4*w(t).
2*t - 11
Let r(d) = -2*d**3 + 7*d**2 + 3*d - 4. Let b(p) = -p**3 + 7*p**2 + 3*p - 3. What is -4*b(s) + 3*r(s)?
-2*s**3 - 7*s**2 - 3*s
Let p(z) = 5*z**3 - z**2 + 2. Let m(u) = -6*u**3 + u**2 - 2. Let n be 37/7 + 4/(-14). Suppose -24 = -h + 5*v, -3*h - 3*v + 8*v + 32 = 0. Give h*m(d) + n*p(d).
d**3 - d**2 + 2
Let a be (66/(-15))/((-12)/30). Let o(r) = 9*r**3 - 4*r**2 - 9. Let n(l) = 5*l**3 - 2*l**2 - 5. Determine a*n(h) - 6*o(h).
h**3 + 2*h**2 - 1
Let j(d) = d**3 + 5*d**2 + 6*d + 2. Let c be 8/(-24)*222/(-2). Let a(l) = 13*l - 4*l**3 - c*l**2 + 4 + 6*l**3 + 48*l**2. Calculate -6*a(w) + 13*j(w).
w**3 - w**2 + 2
Let b(z) = -2*z + 2. Let r(u) be the third derivative of -u**4/24 + u**2. Suppose -3*s = -2*s. Suppose -t - 3 = -s. Determine t*r(m) + b(m).
m + 2
Let u(x) = -2*x**2 - 3*x + 1. Let v(k) = k**3 + 2*k**2 + 4*k - 1. Give 4*u(q) + 3*v(q).
3*q**3 - 2*q**2 + 1
Let u(l) = 2. Let x(f) = f + 37. Give 2*u(n) - x(n).
-n - 33
Let p(v) = 485*v**2 - 45*v + 45. Let h(k) = 44*k**2 - 4*k + 4. Determine 45*h(m) - 4*p(m).
40*m**2
Let a = -11 - -13. Let d(o) be the first derivative of -2*o - 1 + 2*o**2 + 0*o**3 + 1/2*o**4. Let x(r) = 2*r**3 + 5*r - 3. Give a*x(n) - 3*d(n).
-2*n**3 - 2*n
Let o(d) = d - 1. Let n(x) be the first derivative of -3*x**2/2 + 6*x + 2. What is n(m) + 5*o(m)?
2*m + 1
Let i(w) = 3*w**2 + 3*w - 9. Let y(l) = l**2 + l - 3. Calculate 3*i(z) - 8*y(z).
z**2 + z - 3
Suppose 2*a + 76 = 86. Let j(r) be the third derivative of -r**4/24 + r**3 + r**2. Let f(l) = -l + 5. Determine a*j(g) - 6*f(g).
g
Let a(f) = f - 1. Let z(o) = 5*o - 3. Determine -3*a(q) + z(q).
2*q
Let u(z) = 2*z + 2. Let n(r) = r - 4. Let h(d) = -3*d + 7. Let t(l) = -2*h(l) - 5*n(l). Let i(o) = -o - 3. Let q(s) = 5*i(s) + 2*t(s). Give -4*q(b) - 5*u(b).
2*b + 2
Let w(b) = 7*b - 1. Let s(v) = 0*v - 7*v - 1 + 13*v. What is 5*s(q) - 4*w(q)?
2*q - 1
Let w = 4 - 8. Let z(q) = -q**2 - q + 1. Let v(d) = -3*d**2 - 2*d + 2. Suppose 2*i - 1 = -4*k + 3, 3*k - 3 = 3*i. What is k*v(t) + w*z(t)?
t**2 + 2*t - 2
Let t(h) = -36*h - 3. Let y(l) = -12*l - 1. Calculate 3*t(d) - 8*y(d).
-12*d - 1
Let g(c) = c**3 + 3*c**2 - 4*c. Let u(z) be the second derivative of z**3/6 - 2*z. Suppose 0 = -0*l + l + 4*w, -2*l + 3*w = 11. What is l*u(i) - g(i)?
-i**3 - 3*i**2
Let t(c) = 4*c - 21. Let z be 1/(-3)*(-37 + 4). Let w(q) = q - 4. Determine z*w(s) - 2*t(s).
3*s - 2
Let i(b) = 7*b + 0*b + b**3 - 7*b. Let u(j) = 4*j**3 + j**2. Determine 2*i(a) - u(a).
-2*a**3 - a**2
Suppose -29 = -5*n + 21. Let l be -6 + 4 + -1 + n. Let w(j) = -6*j**2 + 7*j + 8. Let a(h) = 5*h**2 - 6*h - 7. What is l*a(i) + 6*w(i)?
-i**2 - 1
Let l = 29 + -11. Let p be 4/14 + l/(-14). Let y(d) be the third derivative of -d**3/6 - 8*d**2. Let q(w) = 2*w - 6. Calculate p*q(j) + 5*y(j).
-2*j + 1
Let z(b) = -2*b + 2. Let s(d) = d - 1. Calculate -7*s(m) - 3*z(m).
-m + 1
Suppose 29*i = 26*i - 9. Let k(l) = -5*l**2 + l + 3. Let g(u) = 4*u**2 - u - 2. What is i*g(p) - 2*k(p)?
-2*p**2 + p
Let p(y) = 7*y + 5. Suppose -5*x + 68 = -12. Suppose 3*r - x = 5*r + j, 5*r + j + 46 = 0. Let z(n) = -4*n - 3. What is r*z(v) - 6*p(v)?
-2*v
Let y(i) be the second derivative of -i**5/20 - 5*i**4/24 + i**3 + 5*i. Let k(w) be the second derivative of y(w). Let s(t) = 5*t + 4. What is -4*k(l) - 5*s(l)?
-l
Let s(r) = -r - 1. Let b(y) = -4*y - 12. What is -b(p) + 2*s(p)?
2*p + 10
Let a(c) be the second derivative of 5*c**3/3 + 9*c**2/2 + 2*c + 14. Let l(w) = 15*w + 13. What is 7*a(h) - 5*l(h)?
-5*h - 2
Suppose -4*t - 1 = -5*h, 2*h + 3*t - 4*t + 2 = 0. Suppose -o = o + 5*r + 8, -4*r = 8. Let w(x) = -x - 1. Let v(u) = -2*u - 4. Give h*w(y) + o*v(y).
y - 1
Let u(j) = 7*j**3 + 4*j**2 + 4*j + 4. Let t(p) = -27*p**3 - 15*p**2 - 15*p - 15. Let h = 29 - 14. Determine h*u(g) + 4*t(g).
-3*g**3
Let x(w) = w**3 - 6*w**2 + 6*w - 6. Let l(r) = -4*r**3 + 17*r**2 - 17*r + 17. Calculate 6*l(n) + 17*x(n).
-7*n**3
Let u(b) = b**3. Let i(q) = -7*q**3 - 2. What is -i(c) - 5*u(c)?
2*c**3 + 2
Let i(j) = j - 1. Let v be -1*12/30*1*-5. Let q(m) = m. Determine v*q(n) - i(n).
n + 1
Let q(y) = -15*y**2 + 2*y - 11. Suppose -2*k = -4*o - 22, -2*k - 5*o - 24 = -10. Let f(n) = -9 + 4 - 7*n**2 + k*n - 2*n. What is 13*f(l) - 6*q(l)?
-l**2 + l + 1
Let u(p) = -2*p + 2. Suppose 3*g + 48 = 12. Let a be -3*-3*g/(-27). Let o(j) = 2*j - 3. Give a*u(x) + 3*o(x).
-2*x - 1
Let k(j) = -13*j + 26. Let p(t) = 7*t - 14. Let l(i) = 6*k(i) + 11*p(i). Let h(u) = 2. What is -3*h(s) + 2*l(s)?
-2*s - 2
Let d(j) = 65*j**2 - 45. Let w(v) = 3*v**2 - 2. Give -2*d(p) + 45*w(p).
5*p**2
Let n(f) be the second derivative of 3*f**5/20 - 5*f**4/12 + 5*f**3/6 - f**2 + 2*f - 1. Let g(x) = -x**3 + x**2 - x + 1. What is 5*g(b) + n(b)?
-2*b**3 + 3
Let a = -19 - -30. Let i = -5 + a. Let d(r) = r**2. Let z(c) = -4*c**2 + 48 - c**3 - 48. Give i*d(s) + z(s).
-s**3 + 2*s**2
Let i(g) = -7*g - 2. Suppose -29 = -3*p - 35. Let w(a) = 8*a + 2. Calculate p*w(x) - 3*i(x).
5*x + 2
Let u(a) = -2*a - 3. Let j(h) be the third derivative of h**4/24 + h**3/3 - 20*h**2. What is 5*j(q) + 4*u(q)?
-3*q - 2
Let k = -18 + 13. Let v(j) = -7*j**2 - 3. Let r = 5 - 3. Let t(s) = 2*s**r - s**2 + 4 - 3. What is k*t(p) - v(p)?
2*p**2 - 2
Let w(m) = 8*m**3 + 7*m**2 - 7. Let b(y) be the second derivative of y**5/20 + y**4/12 - y**2/2 + 2*y. What is 21*b(t) - 3*w(t)?
-3*t**3
Let o(s) = 13*s**3 + 11*s**2 - 10*s. Let w(z) = 7*z**3 + 6*z**2 - 5*z. Determine -6*o(f) + 11*w(f).
-f**3 + 5*f
Let c(v) = v. Let w(t) = -12*t. Give 4*c(s) + 2*w(s).
-20*s
Let a(t) = -8*t**3 - 5*t**2. Let w(d) = -d**3 - d**2. Determine -a(s) + 4*w(s).
4*s**3 + s**2
Let a(i) = -1. Let l(h) = 2*h + 1. What is -a(s) + l(s)?
2*s + 2
Let g(f) = 161*f**2 - 6*f + 8. Let x(l) = 54*l**2 - 2*l + 3. Determine 3*g(v) - 8*x(v).
51*v**2 - 2*v
Let f(j) = -3*j - 5. Let q(x) = -9*x - 15. Determine -8*f(o) + 3*q(o).
-3*o - 5
Let q(f) = 4*f**3 - 13*f**2 - 15*f - 17. Let l = 35 - 23. Let s be 1/(-4) + (-69)/l. Let t(o) = -2*o**3 + 6*o**2 + 7*o + 8. Determine s*q(c) - 13*t(c).
2*c**3 - c - 2
Let n(d) = 6*d + 6. Let i be -1*(0 + -5 + 2). Let v(s) = 3*s - i*s - 1 - 5*s + 4*s. What is n(l) + 4*v(l)?
2*l + 2
Let y(a) = a. Let q(z) = 8*z - 1. Calculate q(g) + 4*y(g).
12*g - 1
Let b(m) = 7*m - 4. Let g be 2*((-2)/4 - -1). Let n(f) = 4 - 3 + g + 0*f - 3*f. Determine -4*b(l) - 9*n(l).
-l - 2
Suppose n + 10 = 4*n + 5*g, 2*n = -4*g + 10. Let l(z) = -z + 1. Suppose -4*t + a + 4 = 0, 0 + 2 = -t + a. Let r(c) = 1 + 0 - 7*c + t. Give n*l(y) + r(y).
-2*y - 2
Suppose -4*b + 2 - 23 = -5*s, -s + 13 = -3*b. Let m(w) = -w - 1. Let v(o) = -o - 1. Calculate s*v(f) - 2*m(f).
f + 1
Let a(k) = k**2 - k. Let m(c) = -2*c**2 + 8*c + 1. Calculate -5*a(r) - m(r).
-3*r**2 - 3*r - 1
Let t(b) = -2*b + 1. Suppose 44 = -4*g + 12. Let a(r) = -17*r + 1. Let w(o) = 26*o - 1. Let c(p) = g*a(p) - 5*w(p). Calculate 3*c(k) + 8*t(k).
2*k - 1
Let n(w) = 14*w**2 - 17*w - 14. Suppose -3*d - 17 = -5. Let u(y) = -5*y**2 + 6*y + 5. Give d*n(l) - 11*u(l).
-l**2 + 2*l + 1
Let a(p) = -p - 16. Let h(g) = g + 17. What is 4*a(b) + 5*h(b)?
b + 21
Let p(s) = s**2 + 9*s - 8. Let k be p(-10). Suppose -5*g - 6 = 4*v, -v = k*g - 0*v. Let w(n) = -8*n. Let z(m) = m. What is g*w(c) + 18*z(c)?
2*c
Let u(d) = -17*d. Let f(i) = 16*i. Give 6*f(m) + 5*u(m).
11*m
Let y(t) = -39*t - 1. Let b(l) = -26*l - 1. What is -7*b(s) + 5*y(s)?
-13*s + 2
Let p = 13 - 5. Suppose 0 = -h - 2*h - 6, -2*y = 4*h - p. Suppose 0*t + y = -2*t. Let c(m) = -3*m + 4. Let i(s) = -2*s + 3. Determine t*i(z) + 3*c(z).
-z
Let f(i) = 450*i**2 - 165*i. Let l(k) = 11*k**2 - 4*k. Determine 4*f(o) - 165*l(o).
-15*o**2
Let g(s) be the first derivative of -5*s**3/3 - 2*s**2 + 2*s - 1. Let i(f) = 4*f**2 + 3*f - 2. Let a = 810 - 813. Determine a*g(q) - 4*i