3
Let m(v) = -v**3 - 2. Suppose 2*k - 9 = 4*t - 31, -4*t + 4 = 4*k. Let w = k + 1. Let b(x) = -23 + 43 - 21. Calculate w*b(s) + m(s).
-s**3
Let s(k) = -4*k**2 - 3*k + 3. Let y be 15/(-1 + -2) - -2. Let j(h) be the first derivative of -5*h**3/3 - 2*h**2 + 4*h - 1. Calculate y*j(a) + 4*s(a).
-a**2
Suppose 0 = -5*s - 3*q - 30, q - 6*q = 25. Let v(u) = u**2 + 2*u + 1. Let g(f) = -f**2 - 3*f. Determine s*v(b) - 2*g(b).
-b**2 - 3
Let s(h) = 4*h + 7. Let u be s(-3). Let l(j) = j**2 - 3*j + 4. Let m(r) be the first derivative of -r**3/3 + r**2 - 2*r - 2. Determine u*m(z) - 3*l(z).
2*z**2 - z - 2
Let q(o) = 8*o**3 + 6*o + 1. Let s = 117 + -122. Let x(c) = -7*c**3 - 5*c - 1. Suppose 2*f = 5*y + 24, 2*y - y - 5*f = 9. Give s*q(w) + y*x(w).
2*w**3 + 1
Let h(t) be the first derivative of -7*t**4/4 - t**3/3 + 4*t**2 + 2. Let i(s) = 13*s**3 + 2*s**2 - 15*s. What is 11*h(o) + 6*i(o)?
o**3 + o**2 - 2*o
Let o(p) = 4*p**2 + 2*p + 2. Let u(l) = -8 + 2*l**2 - 4*l - 11*l**2 + 3. Calculate 7*o(v) + 3*u(v).
v**2 + 2*v - 1
Let k(c) = c. Let n(h) = 7*h**2 + 4*h - 14*h**2 + 6*h**2. Calculate -4*k(j) + n(j).
-j**2
Let a(v) = 2*v**2 + 6*v + 6. Let w(h) = 11 + 9*h + 7*h - 5*h + 4*h**2. Let p be -3*((-20)/(-6) - 3). Let u be p*-2*(-11)/2. Calculate u*a(m) + 6*w(m).
2*m**2
Let a(d) = -4*d**3 + 2. Suppose 5*i - 5*u = 20, 16 = 4*i - 0*i + u. Let n(c) = -5*c**3 + 3. Let t = -6 - -3. Determine i*a(f) + t*n(f).
-f**3 - 1
Let c(s) = -49*s - 7. Let q(i) = 25*i + 4. Determine 6*c(t) + 11*q(t).
-19*t + 2
Let c(r) = -6*r**2 + 6*r - 4. Let z(k) = -13*k**2 + 11*k - 3*k + 8*k - 3*k - 9. Determine -9*c(o) + 4*z(o).
2*o**2 - 2*o
Let h(k) = k. Let z(r) be the third derivative of 7*r**4/24 - r**3/6 + 5*r**2. What is 5*h(u) - z(u)?
-2*u + 1
Let f(x) = -1. Let w(h) = 7*h**2 + 3. Determine 6*f(b) + 2*w(b).
14*b**2
Let z(v) = 2*v**2 - 4*v - 7. Let c(w) = -2*w**2 + 5*w + 8. Give 3*c(t) + 4*z(t).
2*t**2 - t - 4
Let t(o) = -5*o**3 + 5*o**2 + 4*o. Let w be 6 + (3 + -1 - 4). Let m(i) = -i**2 + 3*i + 3. Let h be m(w). Let p(a) = -a**3 + a**2 + a. Calculate h*t(v) + 3*p(v).
2*v**3 - 2*v**2 - v
Let a(r) = -11*r**2 - 7*r + 7. Let v(x) = -4*x + x - 7*x**2 + 2*x**2 + 3. Suppose 0 = -5*f - 9 - 6. Calculate f*a(b) + 7*v(b).
-2*b**2
Let h(z) = -z**3 - z**2 - z. Let v(s) = 6*s**3 + 2*s**2 + 10*s. Give 4*h(m) + v(m).
2*m**3 - 2*m**2 + 6*m
Suppose -5*m = -5*h + 35, 3*h + 27 = -4*m - m. Let s(w) = -11*w**2 + 20*w + 17. Let l(a) = -4*a**2 + 7*a + 6. Calculate m*s(r) + 17*l(r).
-2*r**2 - r
Let d(t) = t - 1. Let f(m) = m**2 + 3. Suppose -9*u + 6 = -12*u. Let l = -8 - -7. Determine l*f(p) + u*d(p).
-p**2 - 2*p - 1
Let w(r) = -15*r + 12*r + 8*r**2 + 7*r + r. Let f(k) = -9*k**2 - 6*k. Calculate -5*f(a) - 6*w(a).
-3*a**2
Let u(w) be the first derivative of -2*w**3/3 - 5*w - 1. Let k be (-9)/3 + (4 - -5). Suppose k + 0 = 3*l. Let a(r) = -r**2 - 2. What is l*u(c) - 5*a(c)?
c**2
Suppose -5*d = 3*c + 6, -2*c + 5*d + 3 = 7. Let a(i) = -2*i. Let g(w) = -8*w. Suppose 63 = -4*r - 17. Let m = 29 + r. Calculate c*g(l) + m*a(l).
-2*l
Suppose -3*v = 2*v + 5. Let q(a) = -1. Let u(w) = w - 9 + 19 - 11. Calculate v*u(n) + q(n).
-n
Let y(o) = -10*o**2 + 6*o - 5. Let f(h) = 2*h**2 - h + 1. Give 11*f(j) + 2*y(j).
2*j**2 + j + 1
Let v(c) = -6*c - 5*c + 0*c. Let z(o) = -5*o. Let r be ((-13)/(-2))/((-6)/(-4) - 1). Determine r*z(m) - 6*v(m).
m
Let f(b) = 12*b**2. Let m(w) = 3*w**2 + 5*w. Let h(s) = -3*s**2 - 6*s. Let l(d) = 5*h(d) + 6*m(d). Determine -4*f(c) + 15*l(c).
-3*c**2
Let z(k) = -4*k**3 - 11*k**2 - 13*k - 11. Suppose -5*u - 1 = 29. Let w(m) = 2*m**3 + 6*m**2 + 7*m + 6. Determine u*z(v) - 11*w(v).
2*v**3 + v
Let z(h) = 4*h**3 - 17*h + 9. Let r(x) = 2*x**3 + 4*x - 5. Let q(k) = 3*k**3 + 8*k - 9. Let n(o) = -3*q(o) + 5*r(o). Determine 9*n(w) - 2*z(w).
w**3 - 2*w
Let y(c) = -11*c - 9*c + c**2 + 17*c. Let q(g) = g. Determine -7*q(z) - 3*y(z).
-3*z**2 + 2*z
Let u be (6/(-4))/(3/(-4)). Let h(s) = s + 7 - 7. Let p(m) = m + 1. Give u*h(o) - p(o).
o - 1
Let l(s) = 4*s**2 + 2*s - 2. Let n(u) = 4*u**2 + u - 1. What is 3*l(r) - 4*n(r)?
-4*r**2 + 2*r - 2
Let b = -28 + 12. Let f(h) = -5*h - 1. Suppose 4*x + 9 = x. Let u(j) = 26*j + 6. Calculate b*f(k) + x*u(k).
2*k - 2
Suppose 4*w - 12 = 12. Let n(l) be the second derivative of -l**2/2 - l. Let c(z) = 2*z + 4. Let k(q) = -q + 5. Let f be k(4). What is f*c(m) + w*n(m)?
2*m - 2
Suppose -3*b - 70 = 5*v, -3*v - 25 = 2*b + 18. Let i(c) = -17*c - 3. Let z(k) = -6*k - 1. What is v*z(w) + 4*i(w)?
-2*w - 1
Suppose 0 = -g - 4*i + 27, i + 40 = 7*g - 3*g. Let a(x) be the first derivative of 0*x**2 - 11*x - x**2 + 4*x**2 - 2. Let f(v) = v - 2. What is g*f(l) - 2*a(l)?
-l
Let b(f) = f + 1. Let j(r) = 6*r - 14. Calculate -4*b(q) + j(q).
2*q - 18
Let f(r) = -14*r - 14. Let q(c) = -3 - 5 + 1 - 5*c + 2. Determine -3*f(j) + 8*q(j).
2*j + 2
Let k(g) = 5*g**2 + 7*g - 6. Let x(t) = -4*t**2 - 6*t + 5. Let p(j) = -5*k(j) - 6*x(j). Let u(h) = -4*h. Give -3*p(d) - u(d).
3*d**2 + d
Let k(c) = c - 6. Let r = -18 - -21. Let g(j) = -9 + 10 - r*j + 6 + 10. What is 4*g(s) + 11*k(s)?
-s + 2
Let u(v) = -7*v - 8 + 7*v + 9*v - 4*v**2 + 21. Let d(b) = b**3 - 4*b**2 - b. Let z be d(4). Let n(p) = p**2 - 2*p - 3. What is z*u(a) - 18*n(a)?
-2*a**2 + 2
Let y(b) = b**3 - 3*b. Suppose 0*l - 6 = -3*l. Let j be (-6)/15 + 6/15. Let k(z) = -z + j*z + l*z. Give -3*k(x) - y(x).
-x**3
Let n(g) = -4*g - 3. Let h(r) = -4*r**2 - 6*r + 1. Let y be h(5). Let j be y/18 - 3/(-18). Let d(l) = -13*l - 10. Determine j*n(i) + 2*d(i).
2*i + 1
Let q(y) = -y. Let u(f) = -5*f + 22. Let k be u(8). Let v(n) = 11*n. Calculate k*q(t) - 2*v(t).
-4*t
Let c(v) = 14*v**3 + 10*v**2 + 12*v + 10. Let z(b) = -b**3 - b**2 - b - 1. Calculate c(f) + 12*z(f).
2*f**3 - 2*f**2 - 2
Let p(q) = 3*q - 2. Let d(c) = -10*c + 6. Let m = 18 + -2. Suppose -h + m + 20 = 4*s, h + 24 = 2*s. Suppose -5*y = s - 0. Calculate y*d(x) - 7*p(x).
-x + 2
Let c(r) = -r**3 + r**2 - 1. Let d(u) = -4*u**2 + 7. Calculate -4*c(i) - d(i).
4*i**3 - 3
Let p(w) = 3*w + 3. Suppose 0*o = 2*o - 8. Let s(x) = o*x - 3*x + 0*x + 1. Give p(h) - 4*s(h).
-h - 1
Let c(d) = -5*d**2 - 3*d - 3. Let w(s) = 4*s**2 + 2*s + 2. Give -2*c(x) - 3*w(x).
-2*x**2
Let d(r) be the second derivative of 2*r**3/3 - 15*r. Let c(y) = -2*y. Calculate -7*c(m) - 4*d(m).
-2*m
Let u(p) = 3*p - 6. Let f(g) = -20 - 5 + 13*g - 8*g + 8*g. Let x(j) = 2*f(j) - 9*u(j). Let l(r) = 1. What is -2*l(c) + x(c)?
-c + 2
Suppose 3*a = 4*a + 13. Let s be 9/(-1)*(-1)/(-1). Let y = a - s. Let d(w) = w. Let o(m) = 3*m. Calculate y*d(h) + o(h).
-h
Suppose -45*q + 20 = -49*q. Let o(z) = 3*z - 2. Let i(m) = -4*m + 3. What is q*o(r) - 4*i(r)?
r - 2
Let q(y) = -4*y**3 - 45*y**2 + 5*y. Let k(w) = 3*w**3 + 44*w**2 - 4*w. What is 5*k(j) + 4*q(j)?
-j**3 + 40*j**2
Let l(p) = 88*p**3 - 24*p - 24. Let y(r) = r**3 - r - 1. What is -l(u) + 24*y(u)?
-64*u**3
Let i(k) = -k**2 - 2*k + 2. Let z(o) be the first derivative of 5/3*o**3 - 11*o + 11/2*o**2 + 7. Give -33*i(c) - 6*z(c).
3*c**2
Let x(z) = -2*z**2 - 3*z - 4. Let a(j) = -4*j**2 - 6*j - 9. Let n = -38 + 34. Calculate n*a(p) + 9*x(p).
-2*p**2 - 3*p
Let l(y) = y**3 - 4*y**2 - 6*y + 3. Let w(f) = -f**2 - f + 1. Determine l(q) - 4*w(q).
q**3 - 2*q - 1
Let x(k) be the second derivative of -k**4/12 + k**3/6 + k**2/2 - 20*k. Let l(p) be the third derivative of p**3/6 + p**2. Determine -3*l(i) + x(i).
-i**2 + i - 2
Let z = 7 - 3. Let t(b) = 7*b - 3. Let k(s) = -6*s + 3. Give z*t(m) + 5*k(m).
-2*m + 3
Let d(w) = -2*w**2 - 4*w - 10. Let b(q) = q + 1. What is 4*b(m) + d(m)?
-2*m**2 - 6
Let l(h) = h. Let p(m) = 4*m - 10. Give -3*l(o) + p(o).
o - 10
Let q(b) = b + 1. Let z(j) = 9*j**2 - 15*j - 15. Give -15*q(t) - z(t).
-9*t**2
Let h(r) = -5. Let s(z) = z + 4. Let b(q) = -q**3 - 23*q**2 + 23*q - 29. Let u be b(-24). Calculate u*s(t) - 4*h(t).
-5*t
Let y(h) = 6*h - 2. Let c(b) = 6*b + 2*b - 5 + 4*b. Calculate 2*c(i) - 5*y(i).
-6*i
Let f(w) be the third derivative of w**6/60 - w**5/20 - w**4/8 - w**3/2 - 28*w**2. Let p(k) = -15*k**3 + 20*k**2 + 20*k + 20. Calculate -20*f(u) - 3*p(u).
5*u**3
Let y(o) = 13321*o**2 + 693*o - 693. Let w(m) = 77*m**2 + 4*m - 4. What is 693*w(j) - 4*y(j)?
77*j**2
Let v(n) be the third derivative of -n**4/24 + 4*n**3/3 + 3*n**2. Let q(f) be the first derivative of f - 1. Give 6*q(p) - v(p).
p - 2
Let q(d) = 