emainder when k is divided by p?
22
Suppose 4*t - s = -16, -2*s + 0*s = 3*t + 23. Calculate the remainder when 234 + 5/((-5)/t) is divided by (0 + -6)*1 + 22.
15
Let p(o) = -9*o + 3. Let d be p(-4). Let t(m) = 266*m**2 + m**3 - 19 - 243*m**2 + d*m - 27. What is the remainder when 83 is divided by t(-21)?
15
Let b(h) = -3*h + 26. Suppose 10 = 4*i + 2*q, 5*i + q = 2*q + 16. Suppose -l - i*m = 6, 3*m + 19 = 3*l - 11. Calculate the remainder when 21 is divided by b(l).
5
Let g = 1874 - 1868. Let n(q) = -q**3 - q**2 + q + 22. Let m be n(0). Let k = m - 17. Calculate the remainder when g is divided by k.
1
Calculate the remainder when 862 is divided by ((-16)/(-28))/((-58)/928 - 834/(-12320)).
92
Let u = -378 + 383. Calculate the remainder when 272 is divided by -10 + u - (0 - 18).
12
Let n(l) = 11*l + 25. Let m be n(-2). Suppose 123 + 204 = m*w. What is the remainder when w is divided by 19?
14
Let c(s) = -s**3 - 3*s - 21 + s**2 + 18 + 0*s**2. Let f be c(-1). What is the remainder when 258 is divided by f/(-3) + (-474)/(-9) + 0?
50
What is the remainder when 251 is divided by ((-480)/(-180))/(1 - 190/198)?
53
Let y(q) = 6*q - 28. What is the remainder when y(9) is divided by -11 - (-21)/63*51?
2
Suppose 11*y - 8622 - 5277 = -112*y. What is the remainder when y is divided by 30?
23
Let z = -8 - -11. Suppose -19 + 58 = z*n. Suppose -3*q = -u + 5*u - 29, -4*q = 5*u - 36. Calculate the remainder when n is divided by u.
5
Suppose 4883*s - 2022 = 4879*s - 5*f, -2*f + 1513 = 3*s. What is the remainder when s is divided by 146?
65
Suppose 137*i - 138*i = 7. Calculate the remainder when (-1250)/(-14) - (-5 - 37/i) is divided by (-23)/(-4)*12/3.
20
Suppose -15*m - 4515 = -17985. What is the remainder when m is divided by 50?
48
Suppose -49*l = -52*l + 33. What is the remainder when 266 is divided by l?
2
Let r be 4 + (0 + -9 - -2). Let p be (0 - -5)/(-15) + 20/r. Let q(c) = -7*c + 10. What is the remainder when q(p) is divided by 13?
7
Let t(i) = -27*i**3 - 8*i**2 + i + 10. What is the remainder when t(-2) is divided by 57?
21
Calculate the remainder when 1582/2 - 8 - (-5 + 4) is divided by 385.
14
Suppose 0*h - 7*h + 1813 = 0. Suppose 0 = 3*d + m - 191, 4*d + 9 = m + h. Calculate the remainder when d is divided by 5.
3
Let o = 67 + -64. Suppose -5*l - 7*p + 149 = -8*p, -2*l - o*p = -63. Let c(j) = -2*j**2 + 16*j - 8. Calculate the remainder when l is divided by c(6).
14
Suppose 0 = -172*c - 6*c + 25098. Calculate the remainder when c is divided by 9.
6
Let n = 1089 - 1063. What is the remainder when 84 is divided by n?
6
Let i = -10665 - -16135. Calculate the remainder when i is divided by 171.
169
Suppose -200*o + 1368 = -181*o. What is the remainder when 414 is divided by o?
54
Let d = 299103 + -299052. What is the remainder when -2 - (-84 + 0/1) is divided by d?
31
Suppose 6*k - 396 - 156 = 0. Let v = 141 - k. What is the remainder when 87 is divided by v?
38
Let w = 4413 - 4393. Calculate the remainder when 1224 is divided by w.
4
Let z(o) = -o**2 - 7*o + 29. Let n be z(-10). Suppose -b = 3 - 29. What is the remainder when b is divided by -4 + n - (-7 - 60/5)?
12
Let r = -43 + 37. Let d be 2/6 + (-34)/r + 0. Calculate the remainder when 76 is divided by (60/8 - 1)*d.
37
Let m(n) = -370*n - 2929. What is the remainder when 2291 is divided by m(-8)?
28
Let z(v) = v**3 - 7*v**2 - 18*v + 7. Let p be z(9). Let y be p*(-3)/3*-6. Suppose -4*c + 6*c - y = 0. What is the remainder when 61 is divided by c?
19
Suppose -3*d + 17*f = 15*f - 518, -3*d + 4*f = -526. Calculate the remainder when d is divided by 23.
9
Suppose -154 = -5*n + 56. Calculate the remainder when n is divided by 537/42 + 12/56.
3
Suppose -6 = j - 2, -2*o + 24 = -5*j. What is the remainder when (-10)/(-9)*(-819)/(-182) is divided by o?
1
Let g be (-6 - -1)/((-2)/2). Let b be (-76)/988 + 6072/13. Suppose g*a = 378 + b. Calculate the remainder when a is divided by 43.
40
Suppose -76*u - 93*u = -27716. What is the remainder when u is divided by 33?
32
Let o(r) = 2*r + 47. Let a(n) = -n - 23. Let c = -14 - -1. Let k(q) = c*a(q) - 6*o(q). What is the remainder when 103 is divided by k(9)?
25
Let d = -16382 - -16721. Calculate the remainder when 1028 is divided by d.
11
Suppose z = 5*w, -5 = -z - w + 1. Let p(u) = -z*u**2 - u**2 + 10 - 12*u + 5*u**2 - 3. Calculate the remainder when p(-10) is divided by 10.
7
Let j = -381 - -440. Suppose -f = -2*l + 4, -5*l + 43 = 2*f + f. What is the remainder when j is divided by f?
5
Let r be 6 - (3 - 0) - (2 + -1). Suppose -15 = 5*g, -r*j + 3*g - 3 = -16. Suppose -2 = -3*n + j*n. What is the remainder when 7 is divided by n?
1
Suppose 21 = -3*i + 30. Suppose -i*g + 2*v - 215 = 0, -2*g - 150 = -0*g - 3*v. Let m = 74 + g. What is the remainder when 8 is divided by m?
3
Let q = -1106 + 1113. Let t = 298 - 161. Calculate the remainder when t is divided by q.
4
Suppose -5*g = -2*i - 3*i - 150, 4*g + 8 = 0. Let j = 5 - i. Suppose 10*b + j = 507. What is the remainder when b is divided by 13?
8
Let n(x) = -101*x + 857. Calculate the remainder when n(-5) is divided by 11.
9
Let d(n) = -13*n + 61. Let p be d(5). Calculate the remainder when (6/12)/((p/720)/(-1)) is divided by 26.
12
Suppose -18*v + 347 + 1435 = 0. Let l = -17 + v. What is the remainder when l is divided by 14?
12
Suppose 5*s - 2*q + 4*q = 27, 3*s - 12 = 3*q. Suppose s*k - 97 = 58. Calculate the remainder when k is divided by 12 - (-2 - 7 - -14)/(-1 + 6).
9
Let y be 13/2 + 2/4. What is the remainder when 20 is divided by y/(21/40) + (-8)/(-12)?
6
Suppose -4*o - t = -3517, o - 616 = 2*t + 279. What is the remainder when o is divided by 51?
14
Let z = 8119 + -8090. What is the remainder when 199 is divided by z?
25
Let k(w) = 54*w - 518. Calculate the remainder when 697 is divided by k(16).
5
Let i(l) = -10*l + 163. Let w be i(16). Suppose 142 = -w*x + 493. Calculate the remainder when x is divided by 5.
2
Suppose -2*c - 3*t + 12 = 5, -c - 5*t = 0. Calculate the remainder when 33 is divided by 3/(-9)*(4 - (c - -56)).
14
Suppose 7*h + 9*h = 64. Suppose a + 52 = 5*z, h*z = -2*a + 7*a + 29. Calculate the remainder when 62 is divided by z.
7
Suppose -975*n + 1175 = -970*n. What is the remainder when n is divided by 27?
19
Calculate the remainder when (567/(-28))/(-6*(-6)/(-192)) is divided by 25.
8
Let v(q) = -204*q - 1006. What is the remainder when 231 is divided by v(-5)?
7
Let t be -76 + 15/6 + (-1)/2. Let v = 168 + t. Suppose -m + 48 = 2*n, 0 = -5*n - 4*m + 8*m + v. What is the remainder when 43 is divided by n?
21
Suppose 591 = 3*a - 306. Let m = -100 - 57. Let t = a + m. Calculate the remainder when t is divided by 9.
7
Suppose -6*d - 4*d = -130. Suppose -623 = -5*b - d. Calculate the remainder when b is divided by 21.
17
Let v be -142 - ((-5 - 1) + 12). Let l = v + 213. Calculate the remainder when 124 is divided by l.
59
Suppose 0 = 2*x - 5*x + 42. Suppose 4*y = 15*s - 10*s - 853, 3*s - 429 = 2*y. Let d = y - -303. Calculate the remainder when d is divided by x.
12
What is the remainder when 3127 is divided by ((-162)/(-5))/(264/880)?
103
Let p = 13716 - 13650. Calculate the remainder when 92 is divided by p.
26
Suppose 128 = l - t, l - 25 = -5*t + 55. Calculate the remainder when 1410 is divided by l.
90
Suppose -2*a + 20 = -2*u, 7996*a - 7993*a - 27 = 4*u. What is the remainder when 42/4 - 1/2 is divided by u?
1
Let w(q) = -16*q + 5. Let s be w(2). Let t = s + 32. What is the remainder when 28 + 7 + (-6 - 1) is divided by t?
3
Let s be ((-765)/34)/(2/(-8)). Suppose 27*f - s = 22*f. Let h(g) = g + 69. Calculate the remainder when h(0) is divided by f.
15
Let d(x) = x**2 + 13*x - 59. Let u = -58 - -62. Calculate the remainder when 169 is divided by d(u).
7
Suppose 842*q = 803*q + 507. Calculate the remainder when 10683 is divided by q.
10
Let r be ((-74)/(-8))/(-4 - (-395)/100). Let j = r + 227. Calculate the remainder when j is divided by 32.
10
What is the remainder when 244 is divided by 38/(-247) - (29667/(-429) + -4*1)?
25
Suppose -16*h = -p - 14*h + 27, -p - 5*h = -34. What is the remainder when 2290 is divided by p?
28
Suppose -10*k + 5*k + 260 = 5*v, -k - 260 = -5*v. Suppose c = 5*i - 56 - 74, 2*i + 4*c = v. What is the remainder when 438 is divided by i?
22
Let t(r) be the third derivative 