alculate the remainder when k is divided by 4.
3
Let d = -142 - -144. Calculate the remainder when 108 is divided by 195/15 + (-1)/(d/4).
9
Suppose 5*y + 19 = 7*y - 3*n, 3 = -n. Suppose -b - 16*o = -11*o - 55, y = 5*o. Calculate the remainder when b is divided by 21.
8
Suppose 22*z + 105*z = 25146. Calculate the remainder when 626 is divided by z.
32
Suppose 73 = 4*q + 25. Let t = 2263 + -2135. Calculate the remainder when t is divided by q.
8
Let i = 133 - 105. Calculate the remainder when (-464)/(-11) - 3/66*4 is divided by i.
14
Let v = 16760 + -16734. Calculate the remainder when 3912 is divided by v.
12
Let w(s) = 407*s**2 - 20*s + 21. Let z = 1108 - 1049. What is the remainder when w(1) is divided by z?
54
Let c(p) = 18 - 5 - 165*p - p**3 + 145*p - 21*p**2. Suppose i + 27 = 207. What is the remainder when i is divided by c(-20)?
11
Let y = 340 - 368. Let x = y - -33. Calculate the remainder when 13 is divided by x.
3
Let x be (-3)/12*(-20)/5. Suppose -x = -m + 2. Let d = -23 + 39. What is the remainder when d is divided by m?
1
Suppose 508*k - 506*k = 164. What is the remainder when 261 is divided by k?
15
Suppose -2*y + 2 = 5*r - 4, 4 = -r - 3*y. Suppose -d + 3*k + 93 = 0, -d + r*k + 107 = 9. Calculate the remainder when d is divided by 37.
34
Let w(h) = -4*h - 6. Let o be w(-3). What is the remainder when -158*((-8)/(-6) + (-11)/o) is divided by (-112)/(-7) - (1 - 5)?
19
Let w(l) = -l**3 + 18*l**2 - 8*l + 264. What is the remainder when w(17) is divided by 187?
43
Let k = 23119 - 22939. Calculate the remainder when 867 is divided by k.
147
Let c be 3/(-24)*14 + (-6)/24. Calculate the remainder when 2 + 3*7*3 is divided by (7 - (c + 3)) + -1 - -9.
9
Suppose 10 = 4*k + 2. Suppose -h = k*h - 9. Suppose 5*b = -4*l + 216 + 288, h*l = b - 116. What is the remainder when b is divided by 35?
34
Let p be -2 + 18 + (3 - 8). Suppose 4*n - 251 + p = 0. Calculate the remainder when n is divided by 17.
9
Suppose 0 = d - 26 + 7. What is the remainder when 18126/162 - (-536)/(-603) is divided by d?
16
Let l = 118 - 115. Suppose 4*q - 2*f = 294, f - 3*f = -l*q + 219. What is the remainder when q is divided by 16?
11
Let h = -6284 - -6307. What is the remainder when 5218 is divided by h?
20
Let d(p) = 52*p + 1552. What is the remainder when d(12) is divided by 6?
4
Let i(s) = 5*s**2 - 131*s - 6*s**2 + 70 + 133*s. What is the remainder when 16 is divided by i(9)?
2
Let d = 380 + -46. Let m = -256 + d. Calculate the remainder when m is divided by 16.
14
Suppose 301 = 5*x + 61. Let a(v) = 17*v**3 + v**2 - 2*v + 1. Let y = -107 + 108. Calculate the remainder when x is divided by a(y).
14
Calculate the remainder when -5*(-1284)/54 - (-6)/162*3 is divided by 11.
9
Let u be ((-2)/5)/((-9)/45). Suppose -20 - 7 = o. Calculate the remainder when 35 is divided by ((o/u)/9)/(3/(-4)).
1
Let p(a) = 4*a**2 + 29*a + 4. Let x be p(-5). Let h(j) = -j**2 - 45*j - 32. What is the remainder when h(x) is divided by 55?
22
Let j = -483 + 911. Suppose -j = -7*s + 244. What is the remainder when s is divided by 17?
11
Suppose -5*w + 88 = 13. Let f(l) = l**2 - 9*l - 43. What is the remainder when f(21) is divided by w?
14
Let n = 71 - -147. Suppose 7*d - 55 - n = 0. Suppose 4*m = 38 + 18. What is the remainder when d is divided by m?
11
Let b(l) = l**2 + 22*l + 1. Let w be b(-22). Calculate the remainder when (-532)/(-4) - (w + 4) is divided by 13.
11
Suppose -d + 0*d + u + 51 = 0, -3*d + 161 = 5*u. What is the remainder when d is divided by ((25/(-5) - -29) + 5)/(7 - 6)?
23
Let x(n) be the first derivative of -49*n**2/2 + 3*n + 11. Let k = -18 - -17. What is the remainder when x(k) is divided by 14?
10
Let p = 564 + -544. Let j(i) = 21*i. Let u be j(5). Let w = u - -34. What is the remainder when w is divided by p?
19
Suppose y - h - 4 = -5, 0 = 5*y - h + 9. Let s = y + 4. Suppose 0 = -s*t + 3*t + r - 33, -5 = -5*r. What is the remainder when 123 is divided by t?
27
Let g be (-6)/9 - 1724/(-12). Suppose -g = -3*k - 23. Let a(m) = m**3 + 7*m**2 - 16*m - 101. What is the remainder when k is divided by a(-7)?
7
Let u(q) = -q - 7. Let c be u(-7). Suppose c*o - 21 = -o. Suppose 2*v - 77 = 5*d, 89 = -5*v + 3*d + 291. What is the remainder when v is divided by o?
20
Suppose -3*h - 3*p + 127 = 25, p = 3*h - 86. Let z be 512/((0 - 6/(-12))*2). Suppose 33*g - z = g. What is the remainder when h is divided by g?
14
Calculate the remainder when 22226/18 + 4 - 84/(-378) is divided by 89.
82
Suppose 4*f + 15 = 3. Let q = 17 + f. Calculate the remainder when (-174)/435*-3*310/3 is divided by q.
12
Let a = 260 + -325. Calculate the remainder when 114 is divided by (a/(-39))/((-2)/(-18)).
9
Let l(u) = -117*u + 2949. Calculate the remainder when l(24) is divided by 122.
19
Suppose 14*q = 10*q + 3*r + 131, -2*q + r + 63 = 0. Calculate the remainder when 37 is divided by q.
8
Let m = -7 + 52. Suppose 3*a + a - g = m, -a - 2*g = 0. What is the remainder when 23 is divided by a*2*-1*12/(-30)?
7
Calculate the remainder when 510 is divided by 114 + 2 + (-1 - 10).
90
Let w(z) = -3*z**2 - 2*z + 2 - 38*z**3 + 19*z**3 + 21*z**3. Let a = -26 + 34. What is the remainder when w(3) is divided by a?
7
Let w = -448 + 442. Let m(z) = 3*z**2 - 46*z + 14. Calculate the remainder when m(w) is divided by 25.
23
Suppose 2*y - 638 = -t, 957 = -9*y + 12*y - t. What is the remainder when y is divided by 110?
99
Let m(n) = 12*n - 143. Calculate the remainder when m(36) is divided by (-729)/(-12)*16/12.
46
Suppose 0 = -429*c + 5034542 + 3462153 - 906827. Calculate the remainder when c is divided by 158.
154
Suppose -1250 = -2*u - 4*p, -3*p + 44 = 23. Calculate the remainder when u is divided by 5.
1
Let m be (5 - (7 - 0)) + 2. Suppose m = 7*r - 16 - 733. What is the remainder when r is divided by 36?
35
Let k be (2028/5)/(63/210). Suppose k = 2*c + 2*s - 4*s, -2*c + 5*s + 1343 = 0. Calculate the remainder when c is divided by 11.
8
Suppose 2*w = -0*w + 14. Let z(k) = 38*k - 2 + 22 - 39*k. What is the remainder when 49 is divided by z(w)?
10
Suppose 3*o - 111 = -0*o. Let w = 630 - 619. Calculate the remainder when o is divided by w.
4
Suppose 4*o = 20 + 60. What is the remainder when o is divided by (0 - 2751/(-147)) + (-3 - 69/(-21))?
1
Suppose -h = -3*h + 3*v - 9, -2*v = 3*h - 6. Suppose -6*s + 8 + 4 = h. What is the remainder when 33 is divided by (2 + s/(-3))*(6 + -3)?
1
Let a(s) = s**3 + 23*s**2 + s + 50. Let r be a(-23). What is the remainder when 20 is divided by -5*r/(-90)*2?
2
Let a(c) be the third derivative of 3*c**5/20 + c**4/4 + c**3/6 - 12*c**2 - 3*c. Let i = 3 - -31. Calculate the remainder when a(3) is divided by i.
32
Let p = 263 + -261. Calculate the remainder when -1*p*(-3381)/49 is divided by 49.
40
Suppose 69476 = 1174*q + 405*q. Let c = 36 + -4. What is the remainder when q is divided by c?
12
Suppose 26*y + 299*y + 39*y + 1406 = 4682. Suppose 0 = -0*z - 2*z + 94. What is the remainder when z is divided by y?
2
Let m(n) = -n**2 + 31*n + 85. Let c be m(31). Suppose 6*h = c + 209. Calculate the remainder when 128 is divided by h.
30
Let w = 1 + 4. Suppose 0*m - 5*n + 50 = -5*m, -w*m - 3*n = 34. What is the remainder when 16 is divided by (m/(-10))/((-10)/(-75))?
4
Let s = -54 - -91. Suppose 50 = 5*c, -12*c + 199 = t - 14*c. What is the remainder when t is divided by s?
34
Let d = -15 - -12. Suppose -3*l + 15*w - 19*w + 5 = 0, -3*w - 9 = -2*l. What is the remainder when (-52)/d*(-3)/(-2) is divided by l?
2
Suppose 4*z - 2*p = 148, -3*z + p = -107 - 4. What is the remainder when 1364 is divided by z?
32
Let w = 625 - 597. Let g(l) = -l**3 + 6*l**2 + l - 4. Let t be g(6). Suppose t*j - 32 = -2*j. What is the remainder when w is divided by j?
4
Let m = 257 - 252. Suppose c - m = -1. Let o(g) = 3*g + 2. What is the remainder when o(2) is divided by c?
0
Let t(n) = 5*n - 23. Let m be t(19). Calculate the remainder when 29 is divided by (-1)/((-8)/m*(-2)/(-2)).
2
Let p(l) = -l + 30. Let j be p(6). Let d be (-8)/(-3) - (-8)/j. What is the remainder when (-3315)/(-26) - d/(-2) is divided by 22?
19
Suppose -13 = -2*a + 3*i, a + 3*i + 37 = 6*a. Suppose -a*g + 68 = -9*g. Let p = 111 + g. Calculate the remainder when p is divided by 9.
7
Suppose -t + d = 8, 2*d - 7 + 1 = 0. Calculate the remainder when t/(-4 + 