5. Calculate the remainder when j is divided by 47.
45
Suppose o - 15 = -6. Let a = -19 - -20. What is the remainder when o is divided by a + (-2 - 2 - -6)?
0
Calculate the remainder when -1 + 42 - (-3)/(5 - 2) is divided by 11.
9
Suppose 9 = 4*g - 3. Let x be (-20)/(-4) + 1 - g. Suppose -14 = -x*b - 2. Calculate the remainder when 13 is divided by b.
1
Suppose v + v - 4 = 0. Suppose 176 = -6*s + 14*s. What is the remainder when s is divided by (32/10)/(v/5)?
6
Let v(k) = -k**2 + k - 1. Let l be v(-1). Let h(p) = p**3 + 3*p**2 - 2*p - 4. Let b be h(l). Calculate the remainder when (-3)/(-3)*(33 - b) is divided by 9.
4
Let q be 4 - -2 - 1 - 3. Suppose q*t - 30 = -4*y, -5*t = y + 15 - 45. What is the remainder when t is divided by 4?
1
Let c(v) = -v**3 + 6*v**2 + 5*v + 6. Let k be c(6). Let b = k + -14. Calculate the remainder when 56 - -38 - (6 + 1) is divided by b.
21
Let w(z) = -18*z + 14. Calculate the remainder when w(-2) is divided by 35.
15
Let m(s) = -14*s + 391. Let p(t) = 7*t + 8. Calculate the remainder when p(6) is divided by m(27).
11
Suppose -v = -0*v + 3*g - 125, 0 = 5*v + 2*g - 560. What is the remainder when 238 is divided by v?
18
Calculate the remainder when 100/250*505/2 is divided by 26.
23
Suppose 0 = -4*k - 5*n + 215 + 137, -2*k + n = -190. Let t = -81 + k. Calculate the remainder when t is divided by 8.
4
Suppose 121*d - 116*d = 275. What is the remainder when d is divided by (110/(-12) + 1/(-3))*-2?
17
Suppose p + 3 + 3 = 4*a, 5*p = -3*a + 39. Suppose 5*x - 185 = 162*m - 165*m, 0 = x - 2*m - 24. What is the remainder when x is divided by p?
4
Let l = -14 + 16. Suppose -586 = -4*r - 5*v, -r - l*r - v + 434 = 0. Suppose 0 = y + 6 - 2, -3*y = 3*w - r. What is the remainder when w is divided by 14?
10
Let g = 56 - 44. Let t(q) = -q**2 + 11*q + 24. Let p = 1 + 4. Calculate the remainder when t(g) is divided by p.
2
Let h(q) = -q + 14. Let y(u) = -u**3 - 13*u**2 + 11*u - 26. What is the remainder when y(-14) is divided by h(11)?
1
Suppose -2*f + 95 = -3*y, f - 2*f = 5*y - 67. What is the remainder when 147 is divided by f?
43
Suppose 206*w - 163*w = 602. Calculate the remainder when ((-6)/(-4))/((-1)/(-18)) is divided by w.
13
Suppose 28*m + 4 - 32 = 0. What is the remainder when 1 is divided by m?
0
Suppose 29*v - 56 = -27. Calculate the remainder when 30 is divided by v.
0
Suppose -59*s + 63*s = 772. What is the remainder when s is divided by 39?
37
Let l(f) = f**3 + 8*f**2 - 8*f + 9. Let x be l(-9). Let r = 1 + 2. Let n = r - x. What is the remainder when 4 is divided by n?
1
Let j = -2033 + 2555. Calculate the remainder when j is divided by 16.
10
Suppose 8*k - 27 = 93. Calculate the remainder when 22 is divided by k.
7
Let s = -3 - -2. Let p(a) be the third derivative of -a**6/40 + a**3/6 - 39*a**2. What is the remainder when 6 is divided by p(s)?
2
Suppose -20*s + 28 = 3*s - 386. Let d = -113 - -166. Calculate the remainder when d is divided by s.
17
Let z = 6 + 31. What is the remainder when 89 is divided by z?
15
Suppose -5*v + 3395 = -5*f, 1355 = v + v - 3*f. What is the remainder when v is divided by 36?
34
Suppose -5*r = 37 - 42. Suppose -83 = -6*y + r. What is the remainder when 68 is divided by y?
12
Let w(m) = 2*m**2 - 11*m - 30. Calculate the remainder when 40 is divided by w(-3).
19
Let a(t) = 2*t**2 - 7*t + 1. Let r be a(5). Suppose -u + r + 4 = 0. Let y(p) = 104*p - 1521. Calculate the remainder when y(15) is divided by u.
19
Let i(c) = c**3 - 7*c**2 - 13*c - 24. Calculate the remainder when 82/(-3)*(-1 - 2) is divided by i(9).
19
What is the remainder when 142 is divided by ((-51)/(-2))/((-6 + 4)/(-4))?
40
Let t = -103 - -155. What is the remainder when 145 is divided by t?
41
What is the remainder when ((-8775)/(-108))/(3/12) is divided by 66?
61
Suppose 4*q = 136 - 28. Calculate the remainder when 61 is divided by q.
7
What is the remainder when 93 is divided by (-2)/3*(-627)/22?
17
Let u be (4 - 21/6)*106. Let x = u - -2. Calculate the remainder when 162 is divided by x.
52
Let r = 16 + -3. Let b = -5 + r. Let t(w) = -w**3 - 6*w**2 + 3*w + 3. Calculate the remainder when t(-7) is divided by b.
7
Suppose -2100 = -13*t - 71*t. What is the remainder when (2 + -3)/((-2)/146) is divided by t?
23
What is the remainder when 6/(-9)*-111 - (-2)/(-1) is divided by 37?
35
Suppose -8461 = -10*a - 921. What is the remainder when a is divided by 54?
52
Suppose -2*n + 0*n = 2*l + 40, -2*l = 5*n + 115. Let a = -19 - n. Let m = 25 - a. Calculate the remainder when m is divided by 10.
9
Calculate the remainder when 59 is divided by 8/(-3) + 3 - 672/(-36).
2
Let w = 192 - 136. Let x(t) = -7*t**2 - 11 + 0*t**2 + 6*t**2 - 17*t. Calculate the remainder when w is divided by x(-15).
18
Let r be (-7)/((-14)/(-4)) + -2 - -31. Let x = r + 20. What is the remainder when x is divided by 17?
13
Calculate the remainder when 5/(5/(-7)) + 156 is divided by 10.
9
Suppose -3*b + 225 = 3*t, -5*t = -5*b + b - 339. Let v(q) = -147*q + 1. Let r be v(1). Calculate the remainder when t is divided by r/(-8) + 3/(-12).
17
Suppose 3*z + 553 = -4*o, -16*z = -11*z - 25. Let k = -97 - o. Calculate the remainder when k is divided by 12.
9
Suppose -4*a - 3*m = -71, -4*m + 73 = 3*a + 18. Suppose -11*p - 12 = -14*p. Let r = 36 - p. What is the remainder when r is divided by a?
15
Let n = 150 + -211. Let z = n + 88. What is the remainder when 107 is divided by z?
26
Suppose 16 = 2*l - 3*u, -3*l + 5*u = -0*l - 24. Let d = l - -1. What is the remainder when (-31844)/(-1330) - (-6)/105 is divided by d?
6
Suppose 1 = 4*y + 25. Let h(w) = -w - 3. Let s be h(y). Suppose 5*d - 100 = -s*c, 3*c = 6*d - 2*d + 136. What is the remainder when c is divided by 21?
19
Suppose 2*p + b = 471, -p - 4*b = -b - 223. Calculate the remainder when p is divided by 40.
38
Let y = -19 + 6. Let g = y + 32. Let t(k) = 15*k**2 - 3*k + 1. Calculate the remainder when t(2) is divided by g.
17
Suppose 6*a - 15*a = 54. What is the remainder when 22 is divided by 407/33 + (-4)/a?
9
Let g = 227 - 181. What is the remainder when 735 is divided by g?
45
Suppose -8 = 2*z - 28. Suppose 3*n - 2*k = -0*k - 2, 3*k - z = n. What is the remainder when n/(3/(-2 - -35)) is divided by 8?
6
Suppose 8*c - 486 = 5*c + 3*m, 3*c - 4*m - 490 = 0. Calculate the remainder when c is divided by 40.
38
Let q = 5 - -1. Let v(a) = 4*a - 20. Let t be v(6). Suppose -2*l - 20 = -t*l. Calculate the remainder when l is divided by q.
4
Suppose 44 = -4*i + 6*i. Suppose w - 14 = -7. Calculate the remainder when i is divided by w.
1
Suppose -4*u - 4*d + 132 = 0, -2*d = -6*u + 2*u + 144. Suppose j - u = 27. Calculate the remainder when j is divided by 21.
20
Let r = 427 + -283. Calculate the remainder when r is divided by 52.
40
Let t(s) = -90*s - 90. What is the remainder when t(-3) is divided by 86?
8
Suppose 3*n - 935 = -5*v + 8*n, -2*v = -n - 371. Calculate the remainder when v is divided by 31.
29
Let j be (-66)/(-16) + (-9)/72. Suppose k = s - j, -k - 6 = -4*s + 2*s. Calculate the remainder when 103 is divided by s/((-4)/(52*-1)).
25
Let r(h) = h**3 - 16*h**2 - h + 42. What is the remainder when 200 is divided by r(16)?
18
Suppose 4*u - 63 = 21. Let c(g) = -g**3 - 8*g**2 - 11*g - 5. Calculate the remainder when c(-8) is divided by u.
20
Let m(d) = -10*d - 37. Let n be m(-16). Suppose 12*w - 801 - n = 0. Calculate the remainder when w is divided by 16.
13
Let h = -251 - -275. What is the remainder when 87 is divided by h?
15
Let f(a) = -2*a**3 - 6 - 8*a**2 - 3 + 11*a + 3*a**3. Suppose -h - 5*c + 7 = 0, -4*h + 4*c + 28 = c. What is the remainder when 35 is divided by f(h)?
16
What is the remainder when 53 is divided by 22 - (20/(-60))/((-2)/6)?
11
Let v = 1380 + -1276. Calculate the remainder when v is divided by 14.
6
Calculate the remainder when 83 is divided by 18/3 - (-25 - -7).
11
Let l(f) = -89*f**3 + f**2 + 3*f + 1. What is the remainder when l(-1) is divided by 35?
18
Suppose 0 = 3*c - 17 - 4. Suppose c*u - 14 = 91. Calculate the remainder when 40 is divided by u.
10
Let l = 4494 - 4439. Let p(k) = -6*k - 5. Calculate the remainder when l is divided by p(-4).
17
Suppose 0 = -4*w + 20, 2*w + 469 - 53 = 2*r. What is the remainder when r is divided by 54?
51
Let w(p) = p**3 - 3*p**2 - 6*p + 33. What is the rema