04. Calculate the remainder when 133 is divided by n.
5
Let l = -398 - -416. What is the remainder when 68 is divided by l?
14
Let d = -53 + 150. Suppose -3*b + 0*b = -99. What is the remainder when d is divided by b?
31
Let y = -33 + 52. Let x(i) = 39*i + 515. Calculate the remainder when y is divided by x(-13).
3
Suppose -3*j - 83 = -305. What is the remainder when 738 is divided by j?
72
Let i = 7 + -16. Let w be 2/(-6) + (-183)/i. Suppose 4*v = 160 + w. What is the remainder when v is divided by 16?
13
Suppose -5*u - 4*m + 473 = -710, -2*u + 493 = -5*m. What is the remainder when u is divided by 11?
8
Suppose 26 = -3*n + 38. Let k = n + 6. What is the remainder when k is divided by 5?
0
Suppose 79 = 3*t - 5*s, 4*t = 29*s - 25*s + 100. Calculate the remainder when 114 is divided by t.
22
Let c(g) = -2*g**2 - 22*g + 18. What is the remainder when 485 is divided by c(-11)?
17
Let w(a) = 8*a - 2. Let i be w(2). Suppose -i*n + 2640 = 540. Calculate the remainder when n is divided by 38.
36
Suppose -6*l - 4*t = -2*l - 64, -2*t + 6 = 0. Suppose -9*s - 3 = -10*s. Suppose -s*x - 5 = -74. Calculate the remainder when x is divided by l.
10
Let g(y) = y**3 - 4*y**2 - 7*y - 5. Let b be g(6). Let n = -25 + b. Suppose 6*q - 50 - 106 = n. Calculate the remainder when 75 is divided by q.
23
Let q(x) = 5*x**3 - 29*x**2 + x + 12. Calculate the remainder when 264 is divided by q(6).
48
Let h(p) = -10*p - 14. Let w be h(-3). Suppose -34 = k - 2*k. Calculate the remainder when k is divided by ((-21)/12)/((-4)/w).
6
Let i(g) = -2*g**2 - 9*g + 6. Let c be i(-6). Let l = 34 - c. What is the remainder when l is divided by 4/(-6) - (-190)/15?
10
Suppose -5*p = -5, 4*p - 31 - 43 = -2*a. Suppose -2524 = -f - 4*f + 3*r, -f + 500 = r. Suppose 5*w - 7 - f = 0. Calculate the remainder when w is divided by a.
32
Calculate the remainder when (6 + (-50)/5)*(-26)/4 is divided by 13.
0
Let o = 246 + -138. Calculate the remainder when o is divided by 37.
34
Let n(u) = -7*u + 48. Let g be n(6). Suppose 7*c = g*c + 5*d + 37, -d = 4. Calculate the remainder when 82 is divided by c.
14
Let a = -430 - -449. What is the remainder when a is divided by 3?
1
Suppose -5*h - 15 = 0, -27*h + 4 = 4*c - 23*h. What is the remainder when 9 is divided by c?
1
Let k = 1 - -26. Let l(s) = 77*s + 1008. Calculate the remainder when k is divided by l(-13).
6
Suppose 4*p - 2*k = 1508, -1080 = -5*p + 3*k + 806. Calculate the remainder when p is divided by 63.
61
Let k = 1809 + -1080. What is the remainder when k is divided by 74?
63
Let n(s) = -s**2 - 4*s + 42. Suppose 4*j + 33 = 1. What is the remainder when 187 is divided by n(j)?
7
Let h(q) = -q**2 - 38*q - 22. What is the remainder when h(-37) is divided by 2?
1
Let v = -251 + 280. What is the remainder when 112 is divided by v?
25
Suppose -4*y + 48 = r, -50*y - 88 = -3*r - 48*y. What is the remainder when r is divided by 6?
2
Let r = 528 + -450. What is the remainder when r is divided by 16?
14
Let s(y) = y**3 - 2*y**2 - 3*y + 4. Let p be s(4). Let v = p - 14. Suppose v - 70 = -6*a. What is the remainder when a is divided by 6?
4
Let z be ((3 - 3) + -4)*-2. Calculate the remainder when z/4 - 315/(-5) is divided by 18.
11
Suppose -2*z + 64 = -3*t, 0 = 2*t - 689 + 685. Let w(v) = -22*v + 2. What is the remainder when w(-3) is divided by z?
33
Let p(r) = -11*r + 51. What is the remainder when p(-9) is divided by 40?
30
Let v be -1 - (0 + 2)*-4. Let u(i) = -1 - 7*i - 2*i**2 - 6*i**2 + v*i**2. Calculate the remainder when 21 is divided by u(-4).
10
Let z(o) = -5*o + 12. Let k(l) = 5*l - 12. Let s(n) = -6*k(n) - 5*z(n). What is the remainder when 107 is divided by s(-3)?
26
Suppose 13*x + 4546 = 3*w + 17*x, 5*w - x = 7546. Calculate the remainder when w is divided by 28.
26
Let k = -4 + 41. Let o be k/7 - (-20)/(-70). Suppose -2*p - 5*v = -141, p = o*v + 19 + 14. What is the remainder when p is divided by 15?
13
Let j(b) = b**2 - b - 2. Calculate the remainder when 260 is divided by j(-9).
84
Suppose 7*a - 99 = -2*a. Suppose 36 = -a*q + 14*q. Let v = -17 - -24. Calculate the remainder when q is divided by v.
5
Let u = -9 + 9. Let c(p) = -p**2 - p. Let t be c(u). Suppose 2 - 3 = -4*m + 5*z, -2*m - 5*z + 23 = t. What is the remainder when m is divided by 2?
0
Suppose -9*y + 171 = -144. Let c = 2 - -2. Suppose -4*x + 43 = r, 0 = -r - c - 1. Calculate the remainder when y is divided by x.
11
What is the remainder when 56/(-21)*(-33)/2 is divided by (-1)/2*23*-2?
21
Let d(n) be the third derivative of n**4/24 - n**3/2 + 4*n**2. Let p be d(5). Suppose -p*k = k - 27. Calculate the remainder when k is divided by 5.
4
Let u = -150 + 167. Let l = -9 - 2. Calculate the remainder when u is divided by 1/(-2) - l/2.
2
Suppose 46*w - 4*w - 7140 = 0. What is the remainder when w is divided by 57?
56
Let d(s) = -3*s**2 + 2*s + 6. Let g be d(5). Let l = g - -88. What is the remainder when l is divided by 15?
14
Let q = 7 - 4. Suppose m + 2*y - 28 = -q*y, 4*m - 7 = y. Suppose 4*w - 151 = -t, 2*w - m*t + 5*t = 68. Calculate the remainder when w is divided by 14.
11
Let t = 274 + -261. Let d(l) = l - 5. What is the remainder when t is divided by d(9)?
1
Suppose g + 5*q = 92, 2*g - 5*g - q = -276. Suppose 0 = -2*u - 3*n + 67, 4*n - g = -2*u - 24. Calculate the remainder when u is divided by 7.
4
Suppose -27 = 7*m - 132. What is the remainder when 54 is divided by m?
9
Let o be (-51)/(-4) + (-2)/(-8). Let v = 14 - o. Let q = -1 + 4. What is the remainder when q is divided by v?
0
Let k = 6 + 0. Let p(r) = r**3 - 7*r**2 + 8*r - 8. Let w be p(k). Suppose 0 = -w*g + 8 + 28. Calculate the remainder when 17 is divided by g.
8
Suppose 494 = -5*y + 104. Let s = 92 + y. What is the remainder when 38 is divided by s?
10
Let y = 325 - 296. What is the remainder when y is divided by 16?
13
Let r(k) = k**2 + 17*k + 79. Let j(a) = a**3 - 7*a**2 + 6*a - 10. What is the remainder when j(7) is divided by r(-8)?
4
Let t(c) = c**3 + 6*c**2 + 2*c - 1. Let s be t(-5). Suppose -18*y = -s*y - 172. Let a = 69 - 46. Calculate the remainder when y is divided by a.
20
Let l = 9 + -7. Suppose l*o - 10 = -6. What is the remainder when 36/4 + (1 - o) is divided by 3?
2
Suppose 2*g - 4 + 104 = 3*w, -5*g = 2*w - 73. What is the remainder when w is divided by (-12)/(-39 + -9)*80?
14
Let w(p) = 4*p - 47. Let j be w(23). Let l = 13 + j. Suppose -2*v = 2*u - 52, -3*v + 4*u + 86 = -20. Calculate the remainder when l is divided by v.
28
Calculate the remainder when 59 is divided by (-10)/40 + 3 + 117/4.
27
Let a(x) = -2*x + 27. Let t = -43 - -103. What is the remainder when t is divided by a(9)?
6
Let z = 0 + -35. Let i = 63 + z. What is the remainder when 83 is divided by i?
27
Let t = -709 - -744. What is the remainder when 106 is divided by t?
1
Let z be (-1)/(-1)*(-4 - -6). Suppose -g + 1 = -z. Suppose 0*d = -2*d + 22. Calculate the remainder when d is divided by g.
2
Suppose 0 = 7*h - 104 - 232. Suppose -33 = -2*o - 97. Let p = h + o. Calculate the remainder when 63 is divided by p.
15
Let s = -1045 + 1051. What is the remainder when 251 is divided by s?
5
Let h = -6 - -10. Suppose 2*a - 5*n - 2 = 0, 2*n = h*a - 23 + 3. Let c(p) = 4*p - 5. Calculate the remainder when c(a) is divided by 7.
5
What is the remainder when (0 - 3 - -1) + (43 - -6) is divided by 16?
15
Suppose 4*w - 60 = -2*j, 28*j + 3 = -w + 32*j. Calculate the remainder when 361 is divided by w.
10
Let j(u) = -21*u**3 - 2*u**2 - u. Let b(h) = -h**3 + 2*h**2 + 6*h - 1. What is the remainder when j(-1) is divided by b(3)?
4
Let v(x) = 7*x**2 + 6*x - 1. Let h(r) = 11*r**2 - 2. Calculate the remainder when h(-2) is divided by v(-2).
12
Let c = 4 + -7. Let k = 10 + c. Let p = 1 + k. Calculate the remainder when 13 is divided by p.
5
Let q = -7 + 17. Let o = -7 - -13. What is the remainder when q is divided by o?
4
Suppose 0 = -4*k - o + 404, 74 = 2*k - 4*o - 128. Let t = k + -90. Calculate the remainder when 41 is divided by t.
8
Suppose -625*o = -634*o + 63. Let p(t) = 2*t**2 + 5*t. What is the remainder when p(-4) is divided by o?
5
Let t = -18 - -18. Let f(s) = 3*s + 45. Let j be f(t). Suppose w = -4*w + j. What is the remainder when 26 is divided by w?
8
Let c = 26 + -2. Suppose 5*w - 1 = c. Calculate the remainder when 11 is divided by w.