t u = -25820 + 26156. Calculate the remainder when 347 is divided by u.
11
Suppose u + l - 1 = 3, 0 = u - 5*l - 16. Suppose -1655 = -164*p + 5199 + 854. Calculate the remainder when p is divided by u.
5
Let l be -92 + (-4)/(1 + -2). Let f = 151 + l. Suppose 0*x - 3*x = -f. What is the remainder when 60 is divided by x?
18
Suppose -2276 = -3*o - 8*t + 12*t, -5*o - 5*t + 3735 = 0. Suppose -93*i = -97*i + o. Calculate the remainder when i is divided by 16.
12
Suppose 0*f - 14 = -f. Suppose 0 = 4*s + 5*o - 286, o + 1 = 3. Let x = s - f. Calculate the remainder when 107 is divided by x.
52
Let k be (-18 + 9)*51/(-9). Let u(r) = 9*r + 3. Let d be u(4). Let p = k - d. Calculate the remainder when p is divided by 8.
4
Let d(w) = 6 - 2*w + 14*w**2 - 13*w + 19*w**2 - 34*w**2. Let g(n) = n**3 - 2*n - 3. What is the remainder when d(-11) is divided by g(3)?
14
Suppose -14*b - 816 = -22*b. Calculate the remainder when b is divided by ((-3)/(-2))/(21/462).
3
Let q be -58*((-26)/20)/((-8)/40). Let l = -350 - q. What is the remainder when l is divided by 6?
3
Let k(h) = h**2 - 15*h + 68. Let m be k(13). Calculate the remainder when (m/63)/(2/1005) is divided by 21.
20
Let f(y) = -9*y**3 + 55*y**2 + 116*y - 3. What is the remainder when 20690 is divided by f(-2)?
56
Calculate the remainder when 18/(-5)*9835/(-77) - 4/(-22) is divided by 157.
146
Calculate the remainder when 621 is divided by (-14948)/370*(-5)/2.
15
Let m(x) = x**2 - 4. Let h be m(-3). Suppose -20 = -4*p, h*d - p - 90 = -0*p. Calculate the remainder when d is divided by (3/6*-2)/((-3)/12).
3
Suppose -f = 364 - 424. Suppose -z + 305 = -3*m - m, -z - 5*m + 287 = 0. What is the remainder when z is divided by f?
57
Suppose 171 - 441 = -2*h. Calculate the remainder when 146 is divided by h.
11
Let l(t) = 340*t - 1325. Calculate the remainder when 906 is divided by l(4).
31
Suppose 0 = -104*b + 365*b - 46719. What is the remainder when b is divided by 27?
17
Let i = -10888 - -11855. What is the remainder when i is divided by 39?
31
Let f(x) = 30*x + 13. Suppose -v - 13 + 18 = 0. Let p = 306 + -273. Calculate the remainder when f(v) is divided by p.
31
Let x = 25 + -13. Let m = -81 + 99. What is the remainder when x is divided by (m/54)/(1/30)?
2
What is the remainder when ((-17805)/(-10))/((-81)/(-108)) is divided by 36?
34
Suppose -51*b + 1816 + 7364 = 0. What is the remainder when 1235 is divided by b?
155
Let x(k) = 34*k - 185. Let m be ((-60)/14)/(-8 + (-486)/(-63)). Calculate the remainder when x(m) is divided by 82.
79
Let p(x) = -x**3 - 11*x**2 + 8*x - 26. Suppose -134 = -2*w - 2*q, -26 - 25 = -w - 5*q. Calculate the remainder when w is divided by p(-12).
5
Let b(v) = v**3 - 12*v**2 + 6*v + 117. Calculate the remainder when 0*1/3 + 245 is divided by b(11).
59
Suppose 3*u + 1 = -y - u, 5*u + 2 = -y. Suppose y*n - 4*n + 4 = 0. Suppose -6*w - 12 = -2*w, 0 = 3*c + n*w + 3. What is the remainder when 5 is divided by c?
2
Let m = -6125 - -8181. Calculate the remainder when m is divided by 14.
12
Suppose -2*n - 2*y - 106 = 2*y, -4*n - 222 = 3*y. Let i = -28 - n. Suppose -4*g + i + 7 = 0. What is the remainder when 12 is divided by g?
3
Suppose -u - 3*q = -342, -4*u - 4*q + 1339 = 19. What is the remainder when u is divided by 55?
49
Let k = -1 - 13. Let q(v) = -16*v + 28. Let z be q(k). Suppose 4*g + 2*j + 2 = z, 0 = -g + 3*j + 80. Calculate the remainder when g is divided by 14.
9
Calculate the remainder when 1340 is divided by (-284)/(-26) - (84/(-91))/12.
9
What is the remainder when 6690 is divided by 240/(-200)*20/64 - 3974/(-16)?
242
Let n(w) = -981*w - 1832. Calculate the remainder when n(-2) is divided by (-12)/(-16)*4*9.
22
Let r(f) = -8 - f**3 + 6*f**2 - 5*f**3 + f - f**2 + 5*f**3. What is the remainder when r(4) is divided by (42/(-12))/7*-14?
5
Let s = 50 - 44. Let w = 173 + -154. Calculate the remainder when w is divided by s.
1
Let s be -5*(-8)/20 + -15 + -2. Let g be 176/3 + (-5)/s. Let m = g + -56. Calculate the remainder when 5 is divided by m.
2
Suppose -3*t + 21 = 5*l, -3*t = -5*l + 2*t + 5. Let h(k) = k**2 - 4. Let w(d) = d**2 + d + 1. Calculate the remainder when w(2) is divided by h(l).
2
What is the remainder when (-25 + 610/30)/((-2)/3) is divided by 7?
0
Suppose 37*f = 32*f + 370. Calculate the remainder when f is divided by (-35)/(-175) + (179/5 - -1).
0
Let h = 458 - 356. Suppose -6*c = -s + h, 5*c = 14*s - 9*s - 510. Calculate the remainder when s is divided by 55.
47
Suppose -173*j = -179*j + 24. Suppose -j*v = -2*m - 80, -2*v = m + 4*m - 64. What is the remainder when 306 is divided by v?
20
Let b be 26/(-4) + 5 - 2/(-4). Let c be (b - -10) + (-21 - -17). Suppose f = -3*s + 7*s + 33, -25 = c*s. Calculate the remainder when 62 is divided by f.
10
Suppose -25 = -o - 3*n, -2*o - n + 45 = 2*o. Suppose 0 = -u + 2 - 4. Let x = 47 - u. What is the remainder when x is divided by o?
9
Suppose -3*h = -2*k + 94, h - 4*k + 160 = -4*h. What is the remainder when ((-16)/h)/(-4) - (-1964)/28 is divided by 24?
22
Suppose -21*u + 101*u + 52*u - 531960 = 0. Calculate the remainder when u is divided by 37.
34
Let h = -22729 + 22948. Calculate the remainder when 1277 is divided by h.
182
Suppose -38*h = -34*h - k - 200, -3*h + 167 = -5*k. What is the remainder when 88 is divided by h?
39
Let b(k) = -4*k - 7. Let q = -1850 + 1930. Calculate the remainder when q is divided by b(-5).
2
Let l = -129 - -130. Suppose -4*p + 8*p - 4*m = -16, -10 = 5*p - 3*m. What is the remainder when p is divided by l?
0
Suppose -550*p = -555*p + 4*v + 50, 2*p - 20 = -5*v. Calculate the remainder when 1349 is divided by p.
9
Let c = 410 - 393. Suppose -5*k = 4*i - 10, -8*k + 3*k - 5*i = -10. Suppose -2 = -y + 3*y + 5*v, -k*y = v - 14. What is the remainder when c is divided by y?
8
Let x(c) = 1730*c + 26. Let d be x(1). Suppose -9*r + d = 3*t - 14*r, 0 = -3*r - 6. What is the remainder when t is divided by 39?
36
Let t(d) = 4*d**2 + 3*d - 2. Let o be t(1). Suppose -o*b + 15 = -0. What is the remainder when 117 is divided by (-9)/(1/(-8)*b)?
21
Suppose -5*w + 8*w - 225 = 0. Let m(f) = f**2 - 23*f + 40. Let u be m(21). Let n = u + 28. Calculate the remainder when w is divided by n.
23
Let v = -5671 - -5916. What is the remainder when 258 is divided by v?
13
Let x(g) = -g**2 - 15*g - 16. Calculate the remainder when x(-7) is divided by 24.
16
Calculate the remainder when 8075 is divided by (-127)/(-9) - 243/2187.
11
Let t(y) = -19*y - 223. Let q(d) = -29*d - 334. Let j(l) = 5*q(l) - 8*t(l). Calculate the remainder when 877 is divided by j(-10).
41
Let v(t) = 12*t - 71. Suppose -3*b + 37 = -n, 0 = -2*b - 0*n + 5*n + 42. Calculate the remainder when 194 is divided by v(b).
11
Let q(g) = 2*g + 0*g - 1 + 0*g + 6*g. Let f = 351 + -293. What is the remainder when f is divided by q(2)?
13
Suppose -120*w + 231 = -109*w. Suppose -2*c - 24 = -5*c. What is the remainder when w is divided by c?
5
Let p = -4703 + 4838. What is the remainder when p is divided by 25?
10
Let l(i) = -i**3 - 18*i**2 + 36*i - 59. What is the remainder when l(-20) is divided by 114/7 - (-6)/(-21)?
5
Calculate the remainder when (10 - 7)*(1979/3 - -6) is divided by 74.
73
Let x(d) = -d**2 - 11*d + 24. Calculate the remainder when 1259 is divided by x(-9).
41
What is the remainder when 598 is divided by 8*(-16)/(512/(-76))?
9
Let n(x) = 4*x**2 - 288*x - 535. What is the remainder when n(77) is divided by 7?
4
Let w = -65288 + 65412. What is the remainder when w is divided by (-4)/14 - (-228)/14?
12
Let r = -436 - -764. Let g = -313 + r. What is the remainder when 29 is divided by g?
14
Let j = -431 - -439. What is the remainder when 28 is divided by 134/11 + j/(-44)?
4
Suppose -3*d - f + 11 = -139, 0 = d - 5*f - 34. Let k = d + -12. What is the remainder when 99 is divided by k?
25
Suppose a + 8*a = -216. Let h = a + 38. Calculate the remainder when 53 is divided by h.
11
Suppose 2*w - 42 = -296. Suppose 2*b + 360 = -5*p + 4*b, 4*p - 4*b = -276. Let x = p - w. Calculate the remainder when x is divided by 27.
26
Let g = -13 - -1. Let x be (0 + -15)*g/36. Suppose -x*f = 55 - 485. What is the remainder when f is divided by 29?
28
Let p(s) = -112*s + 552. Calculate the remainder when 3430 is divided by p(4).
102
Suppose -5*o = 5*f + 660, -4*o + 160 = -f