.
13
Let k(j) = -47*j**3 + 6*j + 6. What is the remainder when k(-1) is divided by 12?
11
Suppose 2*i + 10 = -4*l, i + 5*l = -4*i - 5. Suppose 1 = -w + i. Suppose 0*o = g - 2*o - 13, -5*g - w*o + 29 = 0. What is the remainder when 13 is divided by g?
6
Let c = -180 - -221. What is the remainder when c is divided by 22?
19
Let j be 7*((-5)/(-5) + 19). Suppose 5*c = -5*b + j, 158 = 3*c + 2*c - 4*b. What is the remainder when 88 is divided by c?
28
Let f = 28 - 42. Let d = f - -16. Suppose -t = -3*u + 7, -6 = 3*t - d*u - 2*u. Calculate the remainder when 4 is divided by t.
0
Let h = 154 - 144. Calculate the remainder when 37 is divided by 10*6*h/75.
5
Suppose -3*j + 0*j = 2*b - 69, 0 = 4*b + 12. Let s = j + 31. What is the remainder when s is divided by 15?
11
Suppose -53*k - 64*k + 82*k = -350. Let m = -5 + 73. Calculate the remainder when m is divided by k.
8
Suppose -20*j - 2*o + 76 = -16*j, 4*o = -4*j + 68. What is the remainder when 41/((-5)/((-10)/2)) is divided by j?
20
Suppose -s = 159 + 15. Let n = 39 + -24. Calculate the remainder when (6/(-18))/(1 + 175/s) is divided by n.
13
Let h(d) = -d + 5. Let i = 80 - -20. Suppose -4*x + 4*o = -i, x + 11 = 2*o + 38. Calculate the remainder when x is divided by h(-8).
10
Suppose -13 = 8*y - 85. Suppose 4*h - 4*m - 108 = 0, 2*h - 43 = -m + 20. Calculate the remainder when h is divided by y.
3
Let x(l) = l**2 - 4*l - 19. Suppose -7*t = -3*t - 4*o - 32, 0 = 2*t - 5*o - 19. Calculate the remainder when t is divided by x(7).
1
Suppose 2*t + 3002 = 4*l, -t - 1809 = -6*l + 2704. What is the remainder when l is divided by 14?
11
Let j(m) = -4*m + 25. Let o be j(-15). Let b = o - -14. Calculate the remainder when b is divided by 25.
24
Suppose -62 - 173 = 5*w. Let p = w + 72. Calculate the remainder when p is divided by 11.
3
Let m(i) = -i**2 + 14*i + 17. Let w be m(15). Let y = 0 - w. Let z = 14 + y. Calculate the remainder when 57 is divided by z.
9
Let m(l) = -l**3 + 6*l**2 + 11*l - 10. Let b(p) = p**2 - 4*p - 5. Let z be b(6). Calculate the remainder when 52 is divided by m(z).
16
Let i = 4 - -4. What is the remainder when 22 is divided by i?
6
Let m = 676 + -606. What is the remainder when 242 is divided by m?
32
Let d = 607 - 287. Calculate the remainder when d is divided by 18.
14
Let j = 2517 + -1271. What is the remainder when j is divided by 139?
134
Suppose 0*b = -3*b - 36. Suppose 5*k + 371 = 366. What is the remainder when 16 is divided by b/k*3/6?
4
Let u(j) = -2*j**3 - 32*j**2 + 2*j - 3. Calculate the remainder when u(-18) is divided by 15.
12
Suppose -2*b + 26 = -2. What is the remainder when 80 is divided by b?
10
Let p(i) = -i. Let t = -14 - 28. Let h = t - -69. What is the remainder when h is divided by p(-7)?
6
Suppose -5*r = -0*r + 2*j - 27, r + j - 6 = 0. Suppose 4*g + 15 = -r*f, g - 35 = 2*g - 5*f. Let k = g + 13. Calculate the remainder when k is divided by 2.
1
What is the remainder when 54 is divided by (-4)/(-6)*(-21)/14*-11?
10
Suppose 3*y = 5*y + 4, 0 = p - 4*y - 11. Suppose -69 = -4*w - q, -2*w - p*q + 52 = q. What is the remainder when 63 is divided by w?
15
Suppose 1 = -r + 18. Let u(b) be the third derivative of b**6/40 - b**5/60 - b**4/12 + 11*b**2. Calculate the remainder when u(3) is divided by r.
15
Let z(k) = -k + 10. Suppose 38*x = 36*x + 4. What is the remainder when 12 is divided by z(x)?
4
What is the remainder when ((-228)/(-10))/((-102)/(-170)) is divided by 2 - (-2 - -1)*12?
10
Let r(l) = -16*l + 15. Let f(v) = 8*v - 7. Let d(w) = 13*f(w) + 6*r(w). What is the remainder when d(13) is divided by 21?
19
Suppose 2*o = 4, o - 4*o + 2 = 2*n. What is the remainder when 17 is divided by 1 + 4/n - -10?
8
Suppose -44 = -4*m + 92. Suppose b + 10 = -b, -b = -3*h + 14. Suppose -7*p + 36 = -h*p. Calculate the remainder when m is divided by p.
7
Suppose 3 = 4*n - 9. Suppose 2*j - 42 = 2*p, 5*p - 138 = -5*j - n. Suppose 4*s + 93 = 5*s. Calculate the remainder when s is divided by j.
21
Let s(v) = -v + 1. Suppose -3*t = -6*t - 6, 5*y = -t + 38. Calculate the remainder when y is divided by s(-4).
3
Let l(k) = k**2 + 17*k + 10. Let s be l(-8). Suppose -2*q + 4*c = -230, 3*c + 97 + 242 = 3*q. Let p = q + s. Calculate the remainder when p is divided by 17.
15
Suppose 3*n - 2 = 2*n. Suppose 7*w - n*w = 45. Calculate the remainder when 15 is divided by w.
6
Let n = 294 + -227. Calculate the remainder when n is divided by 14.
11
Let d = 234 - 157. Suppose 20 = -2*a - 28. Let j = 37 + a. Calculate the remainder when d is divided by j.
12
Let p(n) = n**3 + 9*n**2 + n + 11. Suppose -5*a = 46 - 1. Let m be p(a). What is the remainder when 68 is divided by (-139)/(-6) - m/12?
22
Let u(c) = -22*c**2 + 1. Let j be u(1). Suppose 4*f = 102 + 162. Let d = f + j. Calculate the remainder when d is divided by 16.
13
Suppose 18*i - 260 - 136 = 0. Calculate the remainder when i is divided by 8.
6
Suppose -5*g + 5*q + 285 = 0, 3*g - 76 = -4*q + 81. What is the remainder when g is divided by 30?
25
Suppose -4*r - v - 45 = -191, -5*v = -r + 26. Suppose 2*j - p = 2*p + r, -j = -p - 20. What is the remainder when ((-1)/(-1))/(1981/(-497) + 4) is divided by j?
23
Let j(q) = 27*q**2 + 8*q + 21. What is the remainder when j(-2) is divided by 35?
8
Suppose -5*g = 2*b - 12, 2*g - b = 3*b. Let t = -50 - -85. Suppose -j = g*i + 2*i - t, -5 = -i. What is the remainder when 27 is divided by j?
12
Let r(s) = 0*s**2 + 3*s**2 - 4*s**2 + 21 + s. Calculate the remainder when r(0) is divided by -1 + 1/((-1)/(-13)).
9
Let z(x) = -4*x**2 - 2*x + 1. Let u be z(3). Let p = -5 - u. Suppose c = -2*m - c + p, -m - 4*c = -18. What is the remainder when m is divided by 10?
8
Let u(m) = -m**2 + 6*m + 9. Let k be u(6). Let h = k - -111. What is the remainder when h + 4/(-4) - 0 is divided by 30?
29
Suppose -5*m + 8*m - 12 = 0, 5*i + 2*m - 98 = 0. Calculate the remainder when 157 is divided by i.
13
Suppose 0 = -3*f + 5*k + 7, 7 = -5*f - 5*k - 8. Calculate the remainder when (-30 - 28)*(3/(-14) + 8/(-28)) is divided by 11/2*(-2)/f.
7
Let i = 10 - 5. Suppose -s - 68 = -i*s. Let g = -27 - -76. What is the remainder when g is divided by s?
15
Suppose 2*r - 1292 = -15*r. What is the remainder when r is divided by 13?
11
Suppose -16*w + 4335 = -2305. What is the remainder when w is divided by 145?
125
Let x(d) = -d**3 + 17*d**2 - 15*d - 9. Let f(j) = 2*j**2 + 2*j + 16. Let b be f(0). Let m = 4 + 0. What is the remainder when x(b) is divided by m?
3
Suppose -4*y = -5*h - 20 - 97, -3*h + 25 = y. Suppose -y = 4*u - 6*u. What is the remainder when 27 is divided by u?
13
Suppose 1 = 2*j - 15. Suppose 0 = -16*f + 15*f - 2. Calculate the remainder when 31/((-3)/(-2) - (-1)/f) is divided by j.
7
Suppose -4*h = -2*h - 116. Suppose 5*f + 11 = 86. Calculate the remainder when h is divided by f.
13
Let o(h) = h**3 + h**2 + h + 18. Let n(x) = -13*x - 164. What is the remainder when n(-18) is divided by o(0)?
16
Suppose -p = -0*p + 19. Let b = p - -48. Let x(r) = 3*r - 28. Calculate the remainder when x(47) is divided by b.
26
Suppose 4*a = -2*y - 2*y - 40, a - 2*y - 2 = 0. What is the remainder when 43 is divided by -34*(1 + 2)*1/a?
9
Let x(r) be the third derivative of r**5/60 + 5*r**4/24 - 8*r**3/3 + 7*r**2 + 2. Calculate the remainder when x(-11) is divided by 13.
11
Let a(f) = -3*f + 10. Calculate the remainder when 327 is divided by a(-15).
52
Let n = 112 - 47. Let h = 30 - 12. Calculate the remainder when n is divided by h.
11
Let h(r) = -r**2 - 57*r + 39. Calculate the remainder when h(-17) is divided by 60.
59
Let d(j) = -76*j - 969. What is the remainder when 94 is divided by d(-13)?
18
Let s(g) = -g**3 - 4*g**2 - 3*g - 34. Calculate the remainder when 23 is divided by s(-5).
5
Suppose -2*m - 18 = -3*m. Let a = m + 6. Suppose -w - 186 = -3*w. What is the remainder when w is divided by a?
21
Let b(o) = -6*o + 32. Let h = -24 + 63. What is the remainder when h is divided by b(4)?
7
Suppose -f - 164 = -4*u, -2*u + 3*u - f = 44. Suppose -2*j - 14 - 16 = 0. Let x = 29 + j. What is the remainder when u is divided by x?
12
Suppose 2*d - 229 = v, -3*d + 13*v + 350 = 18*v. Calculate the remainder when 457 is divided by d.
112
Let w(g) = -g**3 - 24*g**2 - 5*g - 91. Calculate the remainder when 55 is divided by w(-24).
26
Let g(x) = x**2 + 13*x 