the remainder when r is divided by t.
17
Suppose 2336*y + 74 = 2337*y. What is the remainder when y is divided by 11?
8
Let h = -48 - -65. Suppose -15*i + h*i - 192 = 0. Suppose 2*m - 2 = 20. What is the remainder when i is divided by m?
8
Suppose 2*z + 5*t - 2872 = 327, 2*z - 5*t = 3149. What is the remainder when z is divided by 106?
103
Suppose 0 = -7*m + 2*m + 1500. Let t(n) = -n**2 + 32*n + 43. What is the remainder when m is divided by t(32)?
42
Let l = 313 + -189. Let q be (-353)/(-3) + (-7)/(-21). Suppose 0 = 2*j - 2*r - 76, r + q = 3*j - r. What is the remainder when l is divided by j?
40
Let d be 2 - ((-5)/1 - -4). Suppose 47 = -d*q + 56. Suppose -3 = q*j - 4*y - 35, -j = 3*y + 11. What is the remainder when 13 is divided by j?
1
Let c(n) = -3*n**3 - 5*n**2 + 3*n - 4. Let d = 13754 - 13696. Calculate the remainder when c(-5) is divided by d.
57
Let p(m) = 14*m**2 + 38*m - 228. Calculate the remainder when p(6) is divided by 57.
48
What is the remainder when 375 is divided by 5 + 1 - ((-197 - -3) + -32)?
143
Suppose 0*j + 43 = 5*j + 4*o, -5*j + 41 = 3*o. Let b = -5 + j. Let m(f) = 3*f**3 + 4*f. Calculate the remainder when m(b) is divided by 13.
6
Suppose 5*q = -3*z + 3*q + 31, -15 = -3*q. Suppose 2*v + 7*w - 170 = 12*w, -3*w = -v + 83. What is the remainder when v is divided by z?
4
Suppose -72*d = -66*d - 30. Suppose -31 = -d*m + 2*o, -17*o + 19*o = -4*m + 32. Calculate the remainder when 258 is divided by m.
6
Let w(q) = 45*q**2 + 3780*q + 57. What is the remainder when 1121 is divided by w(-84)?
38
Suppose -2*p + f + 364 = -0*f, 0 = -3*f. Suppose 13*a - 15*a + p = 0. Calculate the remainder when (-14)/a + 82/26 is divided by 3.
0
Let k(h) = -11*h - 62. Let q = 26 + -37. Let o be k(q). Suppose -32*p - o = -33*p. Calculate the remainder when p is divided by 10.
9
Suppose a + 9180 = -14*a. Let y = -532 - a. Calculate the remainder when y is divided by 46.
34
Suppose 30 = 5*n - 65. Let a(d) = -d**2 + 19*d + 10. Calculate the remainder when 38 is divided by a(n).
8
Suppose 2*l = 4*s - 14, 3*l - 22 = -2*s + 7*l. Calculate the remainder when 17 is divided by 32/(-24)*(-9)/s.
5
Suppose -4*j - 7*y + 1112 = -8*y, -4*j + 1112 = 3*y. What is the remainder when j is divided by 61?
34
Let o = 10199 - 9958. Calculate the remainder when o is divided by 50.
41
Suppose 213*q = -200*q + 10325. Let j = 4 - 10. Let c(o) = -o**2 - 9*o - 8. Calculate the remainder when q is divided by c(j).
5
Suppose -m = 2*h - 3*m + 130, -5*h = 3*m + 293. What is the remainder when (1 + 0 - 2)*(-30 + h) is divided by 31?
29
Suppose -5*k = -3*c + 132, 5*k = c - 4*c + 102. What is the remainder when 1517 is divided by c?
35
Let d(h) = 2*h + 4. Let s = 83 - -2. Let w = -40 + s. What is the remainder when w is divided by d(4)?
9
Suppose -100 = -x + 2*n, 67*n - 66*n = 5*x - 482. Calculate the remainder when 282 is divided by x.
90
Suppose -3*s - 5676 = -2*k, 0 = 4*s - 0*s - 4*k + 7564. What is the remainder when 4/26 + (s/(-26) - -3) is divided by 13?
11
Let g = -3381 - -3733. Calculate the remainder when g is divided by 179.
173
Let s = 1889 + -1355. Calculate the remainder when s is divided by 173.
15
Let f = -13 - -67. Suppose -99 = -8*v + 5*h + 1220, -3*v + 492 = -h. Calculate the remainder when v is divided by f.
1
Suppose -6*t + 146 = f - 9*t, -4*t = -4*f + 592. Calculate the remainder when 662 is divided by f.
66
Suppose -2*f - 106 = -558. Suppose -l = -5*u - 35 + 7, -4*u + 24 = 0. What is the remainder when f is divided by l?
52
Let p be ((-1)/(4/(-374)))/((-44)/88). Let j = 196 + p. What is the remainder when 32 is divided by j?
5
Suppose -7*k - 6 + 27 = 0. Suppose k*c - 123 = d, 11*d - 13*d - 6 = 0. What is the remainder when 277 is divided by c?
37
Suppose -24*z + 20*z = 0. Suppose z = 4*u - 59 - 45. Let c = 3 + u. Calculate the remainder when c is divided by 8.
5
Let p(q) = 5*q + 61. Let m be p(-11). Suppose -73 = -3*z + 2*y, 0 = -z + m*y - y + 7. Calculate the remainder when 44 is divided by z.
17
Let j(b) = -20*b + 24. Let n = -90 - -115. What is the remainder when j(-3) is divided by n?
9
Let q(f) = -f + 14. Let h(v) = -v**3 + 5*v**2 - v - 3. Let d be h(3). Let x be q(d). Suppose 2 = -x*p + 156. Calculate the remainder when p is divided by 13.
12
Suppose -99*s + 95*s = -1760. Suppose 15*l - s = -25*l. What is the remainder when 109 is divided by l?
10
Suppose -5*l = 5*h - 1700, -4*h + l + 778 = -557. What is the remainder when h is divided by 30?
5
Suppose 2*i - 8 = 0, -4*i = -y + 4*y - 382. Suppose 25*q - 4*b = 28*q - 105, -2*q + 75 = b. What is the remainder when y is divided by q?
5
Let a(m) = -5*m**3 + 8*m**2 + 5*m - 9. Let w(b) = b**3 + 2*b**2 - b. Let i(f) = a(f) + 4*w(f). Calculate the remainder when i(16) is divided by 2.
1
What is the remainder when (-309)/(-3) - (3/2)/(180/(-240)) is divided by 30?
15
Suppose 0 = -c - 1 - 1, 64 = -5*a - 2*c. Let q(r) = 23*r**3 + 12 + 12*r - 12*r**3 - 10*r**3 + 13*r**2. What is the remainder when q(a) is divided by 7?
5
Let t = 177 - 174. Suppose n + 2*a - 19 = -4*n, t*n - 6 = -3*a. Calculate the remainder when 103 is divided by n.
3
Let s = -6370 - -6795. What is the remainder when 2982 is divided by s?
7
Let f(l) = -3*l**2 - 32*l + 36. Let o(z) = z**2 + 11*z - 12. Let y(a) = 3*f(a) + 8*o(a). What is the remainder when 99 is divided by y(-3)?
18
Let t(k) = -174*k - 513. Calculate the remainder when 267 is divided by t(-3).
6
Calculate the remainder when 352 is divided by 4/((-180)/25)*-90.
2
Suppose -3*f - 115 = 127*q - 132*q, 2*f - 62 = -2*q. What is the remainder when 44977 is divided by q?
23
Suppose 0*k = 2*k - 10. Suppose -k*h + 309 = -q, 5*h - 6*h + 81 = -5*q. Suppose 1033*r = 542*r + 515*r - 408. Calculate the remainder when h is divided by r.
10
Let n(l) = 25*l + 8. Suppose -j - u + 21 = 0, -53 = -4*j + 5*u + 49. Calculate the remainder when n(3) is divided by j.
14
Let l = 31638 + -31618. What is the remainder when 7178 is divided by l?
18
Let c(z) = -11*z + 4. Let a be c(-5). Suppose -3*t = l - 148, -4*t - 4*l = -65 - 119. Let u = a - t. Calculate the remainder when 14 is divided by u.
6
Let x(m) = -m**2 + 6*m + 4. Let u = -46036 + 46069. Calculate the remainder when u is divided by x(5).
6
Let t = 36 - 22. Let y = t - 10. Calculate the remainder when ((-23)/(-161))/(3/273) is divided by y.
1
Suppose -5*u - 4*a = a - 40, 4*a - 7 = u. Let q(v) = 5*v - 7. Calculate the remainder when 119*-21*(-4)/140*(-50)/(-35) is divided by q(u).
12
Suppose 0 = -22*r - 34*r + 448. What is the remainder when 70 is divided by r?
6
Calculate the remainder when (-12)/34 + (-813072)/(-663) is divided by 56.
50
Let t = 2134 - 1099. Suppose -2*s - 16 = 2*z - 706, -3*z + s = -t. What is the remainder when z is divided by 35?
30
Let m(h) = -2*h**2 - 39*h - 12. Let d be m(-19). Suppose -306 = d*k - 13*k. What is the remainder when k is divided by 9?
6
What is the remainder when 1342 is divided by ((-320)/(-16) + -104)*2/(-3)?
54
Suppose 0 = -485*n - 264282 + 1021637 + 69570. What is the remainder when n is divided by 565?
10
Let i(w) = -w + 9. Let m be i(8). Let r(k) = 50*k**2 - 4*k + 2. What is the remainder when r(2) is divided by m/(1/(-13)*(-9 - -8))?
12
Let g be 87/(-145) + (-18)/(-5). Let j = 107 - g. Calculate the remainder when j is divided by 26.
0
Let r(h) = -h**3 - 6*h**2 + 12*h + 22. Let a(v) = 6*v + 2. What is the remainder when r(-8) is divided by a(2)?
12
Let l = 1746 + -1082. What is the remainder when l is divided by 19?
18
Suppose -5*m - u = -127, m + 2*u = -2*u + 14. Suppose -32*i + 66 = -m*i. Suppose -h - 180 = -7*h. Calculate the remainder when h is divided by i.
8
Let u(s) = -848*s - 1894. Calculate the remainder when u(-4) is divided by 15.
13
What is the remainder when (-4 - -3)/((-2)/10 + (-8896)/(-44680)) is divided by 32?
29
Let d be (6 - 1)*1/((-5)/2). Let m = 7 + d. Suppose -6*l + 8 = -m*l. What is the remainder when l is divided by 5?
3
Suppose -c = 5*f - 1453, 22*c - 1459 = 21*c - 4*f. Calculate the remainder when c is divided by 494.
1
Let d(l) = -l**3 - 3*l**2 + 7*l - 2. Calculate the remainder when (-13*3/(-234)*-9)/(3/(-200)) is divided by d(-5).
9
Let k = -7499 - -7724. Calculate the remainder when k is divided by 113.
112
Let a be (24/(-8) + 146)/(-1 - 0). Let r = a + 196. Calculate the rema