 is divided by 12?
6
Suppose 50747 = 8*r + 23*r. Calculate the remainder when r is divided by 14.
13
Suppose 5*d - 2*q - 3 = -1, 3*d = 3*q - 6. Let m(l) = 851 - l + 27*l**d - 850 + 0*l. What is the remainder when 71 is divided by m(1)?
17
Let b be (-12)/10*(3 - (-19)/(-3)). Let s(v) = 5*v + 43. Let m be s(-8). Suppose -m*y - z = z - 2, -20 = b*z. Calculate the remainder when 11 is divided by y.
3
Let d be (5 - 0) + -1 + -2. Suppose f = 3 - 5, f = -d*p + 426. Calculate the remainder when p is divided by 43.
42
What is the remainder when 3401 is divided by (-249)/166 + ((-38)/(-4) - -1)?
8
Calculate the remainder when 258 is divided by 4263/116*((-2)/12 + 3/2).
13
Let c = -108566 - -108575. Let k(u) = 14*u**2 + 3*u + 1. Let t be k(-2). Calculate the remainder when 9*-1*t/(-9) is divided by c.
6
Suppose 13*q + 4 = 14*q. Suppose -81 - 99 = -q*o. Calculate the remainder when 134 is divided by o.
44
Suppose 160 = 2*t + 373*c - 378*c, -5*t - c + 292 = 0. Suppose y - 242 = -z - 4*y, -5*z - 4*y = -1189. Calculate the remainder when z is divided by t.
57
Let m = 2913 + -2835. What is the remainder when 1012 is divided by m?
76
Let k = -134 - -64. What is the remainder when (-6680)/k - 3/7 is divided by 24?
23
Let z(f) = f**2 + 8*f - 141. Let l be z(-15). Suppose -1 = -2*u - 3. Calculate the remainder when 8 is divided by (l - u)*(-4)/20.
1
Let p = -117 + 127. Calculate the remainder when (-3 - -10 - -4) + 0 is divided by p.
1
Suppose -5*i + 140 + 375 = 0. Calculate the remainder when 44 is divided by (-48)/(-168) - 2*i/(-14).
14
Suppose -4*f = 2*b - 310, -20*f - 2*b = -23*f + 222. Calculate the remainder when 609 is divided by f.
1
Suppose -54*i + i = -31*i - 1518. Calculate the remainder when 355 is divided by i.
10
Let o = 3141 - 2903. Calculate the remainder when o is divided by 125.
113
Let h(b) = 242*b - 1615. What is the remainder when h(8) is divided by 23?
22
Suppose -565 = -14*c + 256 + 985. What is the remainder when 388 is divided by c?
1
Calculate the remainder when 9852 is divided by 1 + 22620/104 + ((-3)/2)/(-3).
216
Suppose 0 = -4*m + 3*u + 532, m - 3*u - 128 = -u. Calculate the remainder when (-7 - m/(-1)) + 1 + -2 is divided by 45.
38
Let f(g) = 6*g + 58. Let k be f(-8). Let m(t) = 2*t**3 - 17*t**2 - 19*t - 2. Calculate the remainder when m(k) is divided by 19.
13
Suppose 0 = y - 2*y - 5. Let j = 7 - y. Calculate the remainder when j is divided by (-17 + 24)/(14/4).
0
Let o(d) be the third derivative of 7*d**4/24 - 7*d**3/3 + 42*d**2. What is the remainder when 167 is divided by o(5)?
20
Suppose 2*y - 581 = -1937. Let f = 768 + y. Calculate the remainder when 190 is divided by f.
10
Let n(i) = -5*i**3 - i**2 + i + 2. Let r be n(-2). Suppose -r = 17*l - 26*l. Suppose 40 = 4*m + 12. What is the remainder when m is divided by l?
3
Let c be 16/(-24)*(-9)/3. Let l = c + 12. Calculate the remainder when 96 is divided by l.
12
Suppose -3*i + 11 = 2*p, -2*i - 13*p - 17075 + 16884 = 0. Suppose -4*z = -z - 534. What is the remainder when z is divided by i?
13
Let g(z) = z**2 - 14*z - 43. Let l be g(16). Let j(w) = 13*w + 128*w**2 - 64*w**2 - 73*w**2 - 22 - w**3. What is the remainder when j(l) is divided by 6?
5
Suppose -2*y + 7 = 5, -2*x + 5*y + 1 = 0. Suppose -4*a - 5*f + 172 = 0, 0 = a + 2*f + x*f - 28. Calculate the remainder when 141 is divided by a.
45
Let w = -44 - -48. Suppose -w*n = -4, 2*v - 31 = -3*v - n. Calculate the remainder when v is divided by 4.
2
Suppose -3*m + 424 = -2*h, -h + 4*m = -2*h - 190. Let g = -171 - h. What is the remainder when g is divided by 12?
11
Suppose 856 = 2*r - 2*k, -341*r + 342*r - 428 = 3*k. What is the remainder when r is divided by 356?
72
Suppose 353 + 7541 = 24*v - 9626. What is the remainder when v is divided by 105?
100
Calculate the remainder when 901 is divided by (-20)/(-18) + 275710/1422.
121
Let o = -52 - 108. Let w = o - -174. What is the remainder when 83 is divided by w?
13
Let b be (2/(-4))/(2/(-16)). Suppose -2 = b*v - 470. Suppose 5*g - 3*y + 7 = 163, v = 4*g - 5*y. What is the remainder when 98 is divided by g?
32
Let l = 2 - 36. Let z = l - -35. What is the remainder when 14*(-1)/(-2)*z is divided by 2?
1
Suppose 100*b + 73*b + 50*b - 313761 = 0. What is the remainder when b is divided by 101?
94
Let g(d) = -187*d - 436. Calculate the remainder when 1369 is divided by g(-3).
119
Let r(p) = p**3 + 23*p**2 + 53*p + 23. Let k be r(-25). Calculate the remainder when 5/15 + k/(-12) is divided by 31.
27
Let b(f) = 18*f - 1564. Calculate the remainder when 1099 is divided by b(88).
19
Let s(y) = -y**2 + 3*y - 4. Let g be (-1)/2*(0 - (8 + 0)). Let f be s(g). Calculate the remainder when (-114)/f - (-8)/(-32) is divided by 2.
0
Let w be 30/((14/(-42))/(7/(-6))). Let x = w + -91. Suppose -t = t + r - 15, 2*t - 11 = -5*r. Calculate the remainder when x is divided by t.
6
Suppose 2*y = -5*y + 2562. Suppose -10*w - 96 = -y. Calculate the remainder when 42 is divided by w.
15
Suppose 0 = 3*v + 9, 0 = 3*s + 3*v + 2*v - 18. Let x = 3564 - 3522. What is the remainder when x is divided by s?
9
Let p(k) be the first derivative of -2*k**3/3 + 207*k - 20. What is the remainder when p(0) is divided by 35?
32
Suppose 0 = 22*r - 30*r + 120. Suppose r*n - 198 = 6*n. Calculate the remainder when 73 is divided by n.
7
Suppose 16*v = 758 + 1898. What is the remainder when v is divided by 53?
7
Let c = -266286 - -266402. Let z = 10 - 7. Suppose 0 = -0*u + z*u - 45. Calculate the remainder when c is divided by u.
11
Let m = 13 - -297. Let k = m + -243. Calculate the remainder when k is divided by (-4)/(14/18 - 1).
13
Suppose 95*r = 92*r - 3. Let n(x) = 69*x**2 + 3*x + 1. Suppose 0 = -3*b - 0*b + 21. What is the remainder when n(r) is divided by b?
4
Suppose 0 = -12*d + 274 + 1070. Suppose 1026 = d*x - 103*x. Calculate the remainder when 338 is divided by x.
110
Let a(f) = -f**2 - 11*f + 46. Let r be a(-15). Let q = r - -22. Calculate the remainder when 12 is divided by q.
4
Let p = 106 - 86. Suppose 64 = -16*a + p*a. Calculate the remainder when 23 is divided by a.
7
Let x(i) = i**2 + 7*i + 9. Let f be x(12). Let b = f + -120. Let w = b - 96. Calculate the remainder when w is divided by 8.
5
Let z = -7938 - -13758. What is the remainder when z is divided by 8?
4
Let s be (-4)/(-34) + 2/(-17). Suppose 74 = 2*l - s*l. What is the remainder when 48 is divided by l?
11
Suppose 2*j - 544 = -5*h + 591, -3*h + 1707 = 3*j. What is the remainder when j is divided by 265?
40
Let p = 6676 - 6609. What is the remainder when 3347 is divided by p?
64
Suppose -5*q + 94 + 31 = 4*w, -4*q + 34 = w. Calculate the remainder when 313 is divided by w.
13
Let y(f) = 2*f**3 + 6*f**2 - 54*f + 112. Suppose -l + 45 + 0 = 0. Calculate the remainder when y(4) is divided by l.
30
Suppose -53*r + 57*r = 12. What is the remainder when (3 + -4)/((-2)/102*r) is divided by 7?
3
Suppose -5*v + 46 = 71, 0 = -x + v + 99. Calculate the remainder when 844 is divided by x.
92
Let k(f) = f**3 + 19*f**2 + 49*f + 17. Let t = -8 + 18. What is the remainder when t is divided by k(-16)?
0
Suppose -3*q + 7560 = -q. Suppose -3*v - q = -0*v. Calculate the remainder when v/(-27)*6/4 is divided by 8.
6
Suppose 0 = 5*j - 13*j - 104. Let q(x) = -5*x**2 - 69*x - 6. What is the remainder when q(j) is divided by 16?
14
What is the remainder when 617 is divided by (0 - -2)/(8/3)*(-552)/(-6)?
65
Let u = 58 - 41. Let g be (-36)/(-66) + (-972)/(-396). What is the remainder when 59 is divided by 6/(-9)*g + u?
14
Let p = -6916 - -7741. What is the remainder when p is divided by 24?
9
Suppose 0 = -4*q + 31*q - 6912. Suppose -2*j + 2*w = -q, -400 = -11*j + 8*j - w. What is the remainder when j is divided by 23?
17
Let t(p) = -53*p - 119. What is the remainder when 118 is divided by t(-3)?
38
Let o be 6*(-8)/18*141. Let n = -287 - o. Calculate the remainder when 354 is divided by n.
87
Let i(d) = 3*d**2 - 176*d + 32. Calculate the remainder when i(-13) is divided by 7.
6
Let z(x) = x**2 - 7*x + 10. Let w be z(7). Let v = -3 + w. Let m = 5397 + -5343. Calculate the remainder when m is divided by v.
5
Suppose -303 = -3*r - 2*a, -2*r + 104 + 98 = 4*a. Let d = r + 99. What is the remainder when d is divided by 41?
36
Calculate the remainder when 4469 is divided by (76/(-57))/((-4