- 45. Suppose 5*j + 5 = 0, 5*a + l*j = -2*j + 31. What is the remainder when 75 is divided by a?
5
Let d(w) = w**2 + 6*w - 14. Calculate the remainder when 51 is divided by d(3).
12
Let q(k) = 2*k**3 + 2*k**2 - k - 2. Let p be q(-1). What is the remainder when (p - 2)/(12/(-56)) is divided by 3?
2
Suppose 0 = -21*q - 185 + 1487. What is the remainder when 185 is divided by q?
61
Let b = -45 - -53. Calculate the remainder when 213 is divided by b.
5
What is the remainder when (-89)/((2 + (2 - 3))*-1) is divided by 5?
4
Calculate the remainder when 419 is divided by ((-140)/(-6))/(-1 - (-32)/24).
69
Let k = -138 - -182. Calculate the remainder when k is divided by 36.
8
Let c be (4/(-6))/(6/81). Let p = c + 20. What is the remainder when 52 is divided by p?
8
Let d(i) = 3*i - 11. Let r(n) = 2*n - 1. Let g be r(2). Suppose 0 = g*q + q - 40. What is the remainder when 56 is divided by d(q)?
18
Let v(d) = d + 1. Let f be v(1). Let m be f/((-8)/28) - -1. Let k(o) = o**3 + 7*o**2 + 4*o - 7. What is the remainder when k(m) is divided by 4?
1
Let a(h) = 59*h + 4958. What is the remainder when a(-83) is divided by 4/10 - 246/(-10)?
11
What is the remainder when 111 is divided by 23/(20/(-8)*8/(-20))?
19
Let a(n) = -3*n + 22. Let i be a(5). Suppose 2*p - 3*l - 7 = 0, -p + l - 1 = -2. Let o = i - p. Calculate the remainder when 30 is divided by o.
8
Let d(i) = i**2 - 33*i + 75. What is the remainder when 211 is divided by d(32)?
39
Let d(u) be the first derivative of -u**2/2 + 2*u + 2. Let r be d(-5). Suppose 3*m + 4 = r. Calculate the remainder when 1 is divided by m.
0
What is the remainder when 107 is divided by 0 - -1 - (-5)/((-20)/(-104))?
26
Suppose -2602 = -21*f + 3215. What is the remainder when f is divided by 9?
7
Let n(q) = 6*q**3 + q**2 - 1. Let p(f) = 14*f - 1. Let w be (-4)/10 - 14/(-10). What is the remainder when n(2) is divided by p(w)?
12
Let h(q) = -13*q + 139. What is the remainder when 78 is divided by h(10)?
6
Let h be (0 - 2) + (-1 - -23). Let f = h - 6. Suppose -5*x + 27 + 2 = 3*w, w - 7 = -x. Calculate the remainder when f is divided by x.
2
What is the remainder when 6180/48 - (-2)/8 is divided by 52?
25
Let t(z) = 16*z**2 + 3*z. What is the remainder when t(5) is divided by 84?
79
Suppose -3*s = 3*k - 102, -3*s = -2*s - 1. Calculate the remainder when 155 is divided by k.
23
Let p(f) = -f**2 + 25*f - 36. What is the remainder when p(16) is divided by 16?
12
Suppose 0 = -3*v + 324 - 162. Let a(d) = -2*d. Calculate the remainder when v is divided by a(-5).
4
Suppose -39*t + 35*t = 5*r - 263, t = -2*r + 107. What is the remainder when 107 is divided by r?
52
Let v be 3 - (5 + (-8)/2). Suppose 7*g = v*g - 180. Let p = 86 + g. Calculate the remainder when p is divided by 17.
16
Let a = -2 - -5. Suppose 3*j = a, -5*f - 4*j - 16 = -160. What is the remainder when 111 is divided by f?
27
Suppose 4*i = -0*i + 120. Let j = 3 - -2. Suppose -5*o + j = -75. Calculate the remainder when i is divided by o.
14
Let w(r) = -319*r - 1. Let y be w(-1). Suppose 2*x + 2*n + n = y, 490 = 3*x - 2*n. Let d = x + -113. What is the remainder when d is divided by 17?
15
Suppose -2*d + 3*g + 15 = 0, 6*d = 4*d + g + 21. Calculate the remainder when 46 is divided by d.
10
Calculate the remainder when (-2)/(-12)*2 + (-4596)/(-36) is divided by 65.
63
Let v(b) = 10*b**2 + 17*b - 85. Calculate the remainder when v(-6) is divided by 14.
5
Let m(d) = d**2 + 3*d - 13. Let j be m(-6). Suppose 3*g - u - 29 = 0, j*u - 15 - 60 = -5*g. Calculate the remainder when 107 is divided by g.
8
Suppose -5*y = 27*y - 800. Calculate the remainder when 121 is divided by y.
21
Suppose -3*h + 110 = -2*h. Suppose 0 = -n + 1, 2*s - 5*n = -3*s + h. Let r = -23 + 31. What is the remainder when s is divided by r?
7
Suppose 9*k = 4*k + 4*f + 38, 0 = -f - 2. What is the remainder when 148 is divided by k?
4
What is the remainder when 226 is divided by -3 + -2 + 20 - 3/1?
10
Suppose -2*u + 10*u - 536 = 0. Let l = 190 + -176. What is the remainder when u is divided by l?
11
Let y = 565 - 525. Calculate the remainder when 123 is divided by y.
3
Let k(r) = 9*r**2 + 2*r + 1. Let q be k(-1). Suppose 0 = 7*x - 6*x - q. What is the remainder when 78 is divided by x?
6
Let p = -83 - -75. What is the remainder when p/(-2) + -2 + 41 is divided by 23?
20
Suppose -4*v + 73 = -d + 10, 117 = -2*d + 5*v. Let i = d - -25. Let f = i - -30. Calculate the remainder when 5 is divided by f.
1
Let f = 37 + 11. Let c = -28 - -45. Calculate the remainder when f is divided by c.
14
Suppose -14*a - 152 = -18*a. What is the remainder when 110 is divided by a?
34
What is the remainder when 1*(-11816)/(-136) - (-4)/34 is divided by 71?
16
Suppose -3 = -p + 5*g, 2*p + 0*g - 3*g - 6 = 0. Suppose -4*r - r + p*f + 210 = 0, -42 = -r + 2*f. Calculate the remainder when r is divided by 15.
12
Suppose 3*a - 210 = -3*u, 2*u - 110 - 25 = 3*a. Let g = u + -61. What is the remainder when 13 is divided by g?
5
Suppose -5 = -5*l, 24*d + 3*l = 23*d + 47. Suppose h + 2*w - 241 = -22, h + w = 218. What is the remainder when h is divided by d?
41
Let a(n) = n**3 - 7*n**2 - n + 11. Let q be a(7). Suppose 0 = -3*k + q*k - 2. Suppose 4*j - 194 = k*j. What is the remainder when j is divided by 25?
22
Let i(z) = 2*z + 2*z + 0*z - 4*z**2 + 16 + 10*z. Let y(b) = b**2 - b - 1. Let k(u) = -i(u) - 3*y(u). What is the remainder when k(15) is divided by 12?
11
Let z(d) = -d**2 + 10*d + 6. Suppose 22*k = 17*k + 25. Suppose -k*o + 115 = -30. What is the remainder when o is divided by z(10)?
5
Suppose -2*s + 574 = 4*y, -3*y + 2*s + 198 + 243 = 0. Suppose 0*d - 5*d + y = 0. Calculate the remainder when 57 is divided by d.
28
Let j = 369 - 358. Let h(v) = 42*v**2 + 1. Calculate the remainder when h(1) is divided by j.
10
Let p(n) = -7*n - 7. Let b = -38 - -38. Suppose -f - 5*s = -b*s - 15, -f - s = -11. What is the remainder when p(-5) is divided by f?
8
Suppose 0 = -4*s + 112 - 40. Suppose 4*l - s = 50. What is the remainder when 66 is divided by l?
15
Suppose -120*p + 133*p - 585 = 0. Calculate the remainder when p is divided by 6.
3
What is the remainder when 5/(15/117) + 2 is divided by 12 - -1 - 7/21*-3?
13
Suppose 0 = -3*s + 3*m + 333, -5*s - m = -0*s - 525. Suppose 9*n = -16 + s. Calculate the remainder when 27 is divided by n.
7
Let r(m) = -2*m + 1. Let w be r(-2). Suppose w*t = -6*c + c + 80, 4*c + 24 = 4*t. What is the remainder when 18 is divided by t?
7
Suppose -2*z - 11 = -3*z. Let i = 63 + z. Suppose -190*y + 6511 - 1761 = 0. What is the remainder when i is divided by y?
24
What is the remainder when 22 is divided by (-58)/(-8) + (-2)/8?
1
Suppose 315 = 1347*m - 1338*m. Calculate the remainder when 1608 is divided by m.
33
Suppose 4*h - 104 = 2*h - 5*o, 4*h - o - 230 = 0. What is the remainder when h is divided by (5 - 14/3)/(4/348)?
28
Let x(c) = 2*c - 5. What is the remainder when (-4)/38 - ((-5376)/(-133))/(-4) is divided by x(4)?
1
Let a(u) = -6*u - 16. Let d be 10/(-4)*(-32)/40. Suppose 0 = d*h + h - 27. What is the remainder when a(-8) is divided by h?
5
What is the remainder when 3 is divided by 0 - ((-1)/(-5) - 12/10)?
0
Suppose 2*g = 4*g - 2. Suppose -3*f - 3*k = 3, 2*k + 4 = f - g. What is the remainder when -4 + f + (-168)/(-2) is divided by 21?
18
Let n(b) = -b**3 + 4*b**2 + 6*b - 3. Let r be n(5). Suppose -r = -2*f + 20. What is the remainder when f is divided by 7?
4
Let g be 0*4*(-2)/(-16). Let d be (-2)/(-5) - 26/(-10). Suppose d*c - 40 + 4 = g. What is the remainder when 23 is divided by c?
11
Let p(y) = y**2 - 5*y - 113. What is the remainder when p(-16) is divided by 41?
18
Suppose 14*h = 93 + 47. What is the remainder when 20 is divided by h?
0
Let g = -81 + 247. Calculate the remainder when g is divided by 56.
54
Let q be 884/(-22) + (-14)/(-77). Calculate the remainder when 7 is divided by (10/25)/((-4)/q).
3
Suppose -26 - 26 = -4*r. What is the remainder when ((-679)/(-97))/(0 + 1) + 69 is divided by r?
11
Suppose -d + 15 = 11. Suppose -f - 241 = -4*m, -2*m + 5*f - d = -111. Calculate the remainder when m is divided by 9.
7
Let w(c) = c**3 + 2*c**2. Let z be w(0). Suppose z = 17*r - 16*r - 28. Calculate the remainder when 81 is divided by r.
25
Let d(s) = -s**2 - s + 2. Let c be d(-2). Let x be (c - -248) + (-3)