 17*m(k)?
k**3 + 2*k**2 + 1
Let c(l) = l + 1. Let j(v) = 4*v**3 + 5*v. What is 5*c(r) - j(r)?
-4*r**3 + 5
Let x(m) = 3*m**2 - 3*m - 2. Let q(h) = 6*h**2 - 5*h - 3. Determine -3*q(j) + 5*x(j).
-3*j**2 - 1
Let w(c) = -9*c**3 - 7*c**2 + 5*c + 1. Let q(r) = -4*r**3 - 4*r**2 + 3*r + 1. Give 5*q(d) - 3*w(d).
7*d**3 + d**2 + 2
Let o(v) = -5 - 2 + 3 + 2. Let k = 3 - 3. Suppose 7 = 5*h - s - 1, k = 2*h - s - 2. Let r(z) = -z**3 - 1. What is h*r(b) - o(b)?
-2*b**3
Suppose -4 = -7*n + 5*n. Let o(i) = -6*i**3 + 2*i**2 + 2*i + 2. Let w(d) = 7*d**3 - 3*d**2 - 3*d - 3. Give n*w(h) + 3*o(h).
-4*h**3
Let h(r) = 32*r - 16. Let p(y) = 11*y - 5. Give -2*h(s) + 7*p(s).
13*s - 3
Let x(d) = 7*d**2 + 4*d - 6. Let r(n) = -35*n**2 - 27*n + 24. Let v(l) = 52*l**2 + 41*l - 35. Let j(w) = 8*r(w) + 5*v(w). Calculate -6*j(c) - 17*x(c).
c**2 - 2*c
Let t(l) = 3*l + l**2 + l - l - 2*l**3. Let p(a) be the third derivative of -a**5/60 - a**4/24 - a**2. Let q(w) = w + 2. Let g be q(-4). What is g*p(n) - t(n)?
2*n**3 + n**2 - n
Let g(o) be the first derivative of 4*o**3/3 + 10*o**2 + 20*o - 14. Let k(b) = -b - 1. What is -g(q) - 20*k(q)?
-4*q**2
Let o(x) be the first derivative of -x + 1/2*x**2 - 1. Let u(w) = 3*w - 2. Determine 5*o(z) - 2*u(z).
-z - 1
Let f(l) be the first derivative of 5*l**3 - 4*l**2 - 11*l - 52. Let x(u) = -4*u**2 + 2*u + 3. Give -6*f(p) - 22*x(p).
-2*p**2 + 4*p
Suppose 3*g = -0*g + 9, 4*n - 33 = -3*g. Let q(z) = z**3 - z**2 + z - 1. Let j(k) = -5*k**3 + 6*k**2 - 5*k + 8. What is n*q(l) + j(l)?
l**3 + l + 2
Let p = -52 - -49. Let k(t) = 15*t**2. Let i(n) = -7*n**2. Calculate p*k(w) - 7*i(w).
4*w**2
Let u(p) = 8*p**2 - 5*p + 6. Let z(k) be the second derivative of -5*k**4/4 + 3*k**3/2 - 11*k**2/2 + k + 13. Let m = -5 + 11. Calculate m*z(y) + 11*u(y).
-2*y**2 - y
Let p(w) be the second derivative of w**3/6 + 3*w**2/2 - 6*w. Let k(z) be the first derivative of p(z). Let b(x) = x - 4. Let r = 8 + -4. Give r*k(j) + b(j).
j
Let l(k) be the first derivative of k**3/3 - k**2/2 - k + 3. Let b(s) be the first derivative of 3*s - 5/3*s**3 + 2*s**2 + 1. What is -b(i) - 4*l(i)?
i**2 + 1
Let a(l) = -2*l - 2. Let y(f) = 5*f + 6. Suppose -3*x - 2 = 2*v + 20, 3*v + 31 = -4*x. Let t(p) = 6*p + 7. Let j(g) = x*y(g) + 5*t(g). Give 11*a(q) + 2*j(q).
-2*q
Let l(a) = 3*a**2 + 6*a + 2. Let h = -24 + 17. Let y = -11 - h. Let p(d) = -4*d**2 - 7*d - 2. What is y*p(u) - 5*l(u)?
u**2 - 2*u - 2
Let f(a) = -a**2 - a + 1. Let g(x) = 36*x**2 - 5*x + 5. Give -5*f(w) + g(w).
41*w**2
Let l(y) = -6*y + 15. Let a(v) = 3*v - 8. What is -11*a(h) - 6*l(h)?
3*h - 2
Let w(y) = -5*y. Suppose -s = 2*f - 13, 2*s + 3*s - 4*f - 23 = 0. Suppose 3*n = 4*n - s. Let t(q) = -2*q. Give n*t(h) - 3*w(h).
h
Let w(j) = j + 1. Let d(m) = m + 2 - m - 1 + m. Give d(v) - 2*w(v).
-v - 1
Let s(y) = 2*y**2 - 6*y - 2. Let x(o) be the first derivative of o**3 - 11*o**2/2 - 3*o + 4. Suppose 4*n - 7 = 3*n. What is n*s(d) - 4*x(d)?
2*d**2 + 2*d - 2
Let t(s) = 26*s - 5. Let g(k) = 9*k - 2. Give 8*g(i) - 3*t(i).
-6*i - 1
Let m(v) = -21*v**3 + 11*v**2 + 13. Let d(j) = 10*j**3 - 6*j**2 - 6. What is 13*d(p) + 6*m(p)?
4*p**3 - 12*p**2
Let j(y) = 2*y + 3. Let f be j(11). Suppose -18*p = -13*p + f. Let b(g) = -g**2. Let w(s) = 6*s**2 - 3. Calculate p*b(v) - w(v).
-v**2 + 3
Let z(m) = 3*m**3 + 2*m**2 - 5*m + 12. Let i(g) = 4*g**3 + 3*g**2 - 7*g + 18. Determine -5*i(k) + 7*z(k).
k**3 - k**2 - 6
Let l(c) = 4*c + 3. Let d(x) be the second derivative of 5*x + 3/2*x**3 + 0 + 7/2*x**2. Give 6*d(t) - 14*l(t).
-2*t
Let x(w) = 14*w - 6. Let c(j) = -9*j + 4. Let s be (-6)/15 + (-23)/5. Give s*x(z) - 8*c(z).
2*z - 2
Let z(r) be the second derivative of -2*r**3/3 + 3*r**2 - 5*r. Let x(t) = -11*t + 17. Give 6*x(u) - 17*z(u).
2*u
Let w(q) = 3*q - 4. Let y(c) = 5*c - 7. Let l = 12 + -8. Let k = l + -8. Calculate k*y(f) + 7*w(f).
f
Let c(i) = i + 3. Let d(k) = -k - 7. Let u = 66 - 61. Calculate u*c(g) + 2*d(g).
3*g + 1
Let y(m) = -17*m**2 - 17*m + 2. Let t(z) = -8*z**2 - 8*z + 1. Suppose 10*o - 9*o - 6 = 0. Calculate o*y(i) - 13*t(i).
2*i**2 + 2*i - 1
Let x(h) = 4*h - 5. Let g(a) = -2*a + 3. Let r(n) = -5*g(n) - 3*x(n). Let m(k) = -k. Give -3*m(o) - r(o).
5*o
Let s(r) = 5*r**3 - 3*r**2 + r. Let g(q) = -6*q**3 + 4*q**2 - 2*q + 1. Let j(z) = -3*g(z) - 4*s(z). Let d(v) = -5*v**3 + 5*v - 8. Calculate 3*d(w) - 8*j(w).
w**3 - w
Let k(w) = -w**2 + w - 1. Let b(v) = 8*v**2 + v - 10*v - 3 + 12. Suppose 0 = -s - 0 + 2. Let h(x) = 4*x**2 - x. Let r be h(-2). Calculate r*k(p) + s*b(p).
-2*p**2
Let a(h) = -h. Let s(z) = 18*z - 1. What is 4*a(w) + s(w)?
14*w - 1
Let k(l) = 4*l**3 + 2*l - 3. Let h(m) = 1. Let z(s) = -2*s**2 - s + 1. Let o be z(0). Calculate o*k(q) + 2*h(q).
4*q**3 + 2*q - 1
Let n(y) = -22*y - 9. Let r(u) = 11*u + 4. What is -4*n(k) - 9*r(k)?
-11*k
Let f(l) = -10*l**2 + 14*l - 12. Let a(h) = h**2 - h - 3. Let y(m) = 1. Let z(g) = a(g) + 4*y(g). What is f(q) + 12*z(q)?
2*q**2 + 2*q
Suppose 14 - 2 = 4*y. Suppose 8 + 1 = y*t. Let x(a) = a**2 + 3*a + 3. Let g(m) = -15*m - 1 - 9 + 5*m - 4*m**2. Calculate t*g(i) + 10*x(i).
-2*i**2
Let a(h) = 3*h**2 + 6*h + 4. Let g(o) = 2 + 1 + o**2 - 2. Let i(w) = 9*w**2 + 7*w + 10. Let x(s) = 5*g(s) - i(s). What is -5*a(r) - 4*x(r)?
r**2 - 2*r
Let o(y) = 6*y**3 + 6*y**2 + 17*y. Let l(v) = 2*v**3 + 2*v**2 + 6*v. Determine -8*l(j) + 3*o(j).
2*j**3 + 2*j**2 + 3*j
Let x(w) = -47*w**2 - 4*w. Let h(y) = -48*y**2 - 5*y. Calculate -4*h(u) + 5*x(u).
-43*u**2
Let q(l) be the third derivative of -l**5/60 + l**4/4 - l**3/6 - 5*l**2. Let u(o) = -3*o**2 + 17*o - 3. What is 17*q(h) - 6*u(h)?
h**2 + 1
Let k(r) = -22*r**2 - 8*r - 8. Let l(c) = 15*c**2 + 5*c + 5. Determine 5*k(i) + 8*l(i).
10*i**2
Let y(i) = -6*i - 4. Let x(g) = -12*g - 9. Let l(n) = -3*x(n) + 5*y(n). Let u(f) = 5*f + 6. Determine -4*l(c) + 5*u(c).
c + 2
Let c be (0/1)/3 + 15. Suppose -5*j + 2*j = c. Let g(w) = -2*w**3 - 3*w**2 - w + 4. Let i(z) = 3*z**3 + 5*z**2 + z - 7. What is j*g(h) - 3*i(h)?
h**3 + 2*h + 1
Suppose -3*x + 11 = 4*q - 4*x, -4*q + 10 = -2*x. Let i(b) = 5*b + 1. Let l(z) = -6*z - 3 + 1 - 3*z. Calculate q*l(o) + 5*i(o).
-2*o - 1
Let v(q) = -q**2 + 3*q + 3. Let i(t) = 2*t**2 - 8*t - 8. Let g = -13 + 18. Let f = g + -3. Suppose 6*j - f*j = 32. Determine j*v(n) + 3*i(n).
-2*n**2
Let z(q) = -2*q - 2. Let u(g) = -6*g + 8 + 2 - 4 + 11*g. Give -4*u(i) - 11*z(i).
2*i - 2
Let v(f) = 17*f. Let b(a) = 50*a. What is -6*b(s) + 17*v(s)?
-11*s
Let v(p) = 12*p**2 + 12. Let x(w) be the first derivative of -w - 1/3*w**3 + 0*w**2 + 3. Determine v(g) + 10*x(g).
2*g**2 + 2
Let m(r) = r**2 + r - 1. Let b(k) = -6*k**2 - 6*k + 1. Give b(p) + 4*m(p).
-2*p**2 - 2*p - 3
Let r(a) = 4*a + 2. Let x = 83 + -76. Let v(j) = -2*j - 1. What is x*v(h) + 3*r(h)?
-2*h - 1
Let p(v) = -v**3 - v**2 + 1. Let h(k) = -2*k**3 - 4*k**2 - 15*k + 4. What is -h(c) + 4*p(c)?
-2*c**3 + 15*c
Let r(n) = -3*n**3 + 5*n**2 - 7*n - 5. Let j(i) = 3*i**2 - 3 - 7*i + 3*i + 0*i**2 - 2*i**3. Calculate 5*j(l) - 3*r(l).
-l**3 + l
Let n(b) = b**3 + b + 1. Suppose -3 = 7*z - 6*z + y, 4*y = 5*z + 33. Let c(q) = -6*q**3 - 7*q - 5. Determine z*n(j) - c(j).
j**3 + 2*j
Let f(o) = -5*o + 3. Let q(g) = 21*g - 13. What is 26*f(i) + 6*q(i)?
-4*i
Suppose -2*i - 2*o = 0, -o + 2 + 2 = 3*i. Let v(u) = -2. Suppose -8*a + 4*a = 4. Let p be ((-5)/3)/(a/3). Let y(t) = t + 4. Determine i*y(g) + p*v(g).
2*g - 2
Let s(k) = -2*k**2 - k + 5. Let n(r) = -r**2 - r + 1. Suppose 0*p - 2 = -2*p. Let h be 2 - (0 - p - 0). Calculate h*n(a) - s(a).
-a**2 - 2*a - 2
Let y(r) = 2*r + 1. Let a(t) = -65*t - 6. Give a(f) + 5*y(f).
-55*f - 1
Let j be (-14)/7*(-6)/4. Let g(m) = m - 2. Let k(h) = 2. Let o(d) = j*g(d) + 2*k(d). Let b(c) = 2*c - 2. What is -4*b(a) + 3*o(a)?
a + 2
Let x(l) = -2*l**3 + 11. Let h(a) = -2*a**3 - a**2 + 10. Determine -6*h(r) + 5*x(r).
2*r**3 + 6*r**2 - 5
Let l(d) = -4*d**2 + 2*d - 2. Let t(j) = 8*j**2 - 4*j + 5. Calculate 5*l(q) + 2*t(q).
-4*q**2 + 2*q
Let a(x) = -x**2 - x - 1. Let v(i) = -45*i**2 - 5*i - 5. Determine 5*a(p) - v(p).
40*p**2
Let n be (-133)/(-76) + (-1)/(-4). Let i(d) = 8*d**3 - 9*d**2 + 17*d - 13. Let m(s) = -2*s**3 + 2*s**2 - 4*s + 3. Determine n*i(g) + 9*m(g).
-2*g**3 - 2*g + 1
Let i(r) = r**3 - r**2 - 1. Let h be i(2). Let b(j) = 7*j**2 + j + 1. Let c(p) = -51 - 29 + 81 + 4*p**2 + p. Give h*b(s) - 5*c(s).
s**2