n + 29 = 3*t, -19*t - 36 = -23*t - 4*n. Calculate the remainder when 80/6 + (-14)/q is divided by t.
6
Let i(q) = -600*q - 4778. What is the remainder when 12157 is divided by i(-8)?
13
Suppose -7 = k - 1. Let t(w) = -2*w**3 - 8*w**2 + 14*w - 6. Suppose -2*h + 0*h = -30. What is the remainder when t(k) is divided by h?
9
Let p(g) = g + 16. Let b = 702 + -662. Calculate the remainder when 145*((-272)/b - -7) is divided by p(0).
13
Let c be (-309)/(-21) - ((-115)/35 + 3). Suppose 5*r + c = 160. Calculate the remainder when r is divided by 17.
12
Let f be (-12)/1 + -2 + 1. Let u be (2*2)/((-8)/((-56)/(-14))). Let g = u - f. What is the remainder when 40 is divided by g?
7
Let x(i) = -1. Let d(b) = -b**2 - 6*b - 11. Let v be 1*((-8)/(-10))/((-4)/(-10)). Let s(w) = v*x(w) - d(w). What is the remainder when s(-5) is divided by 3?
1
Let k(m) = 3*m**2 - 35*m - 20. Suppose 0*p - 2*p + c + 30 = 0, -p - 2*c + 5 = 0. What is the remainder when 60 is divided by k(p)?
28
Suppose -115431 = -24*g - 329*g. Calculate the remainder when g is divided by 88.
63
Let d(t) = 13*t + 289. Let h = 12 + -10. Suppose -h*c + 3 + 29 = 0. Calculate the remainder when d(-20) is divided by c.
13
Suppose 3*a + 5*y - 50 = 0, -6*y = 5*a - 2*y - 66. Suppose a*l = 13*l - 132. Calculate the remainder when l is divided by 29.
15
Let w(x) = 4*x + 37. Let b be w(-10). Let g = b + 56. Suppose -139 - 23 = -6*u. Calculate the remainder when g is divided by u.
26
Let v be -15*((-340)/25 - 2). Suppose 240 - v = 3*c. What is the remainder when c is divided by 2?
0
Let s = -8917 + 9038. What is the remainder when 212 is divided by s?
91
Let z be 14/28*(1 + 51). Let s = 13 + z. Suppose 10*k - 7*k - 18 = 0. Calculate the remainder when s is divided by k.
3
Let g(m) = -m**3 - 170*m**2 - 537*m - 5965. Let s(d) = d - 6. Let b be s(6). Calculate the remainder when g(-167) is divided by -16*(-3 + 2 - b).
15
Let p(h) = 15*h**2 - 7*h + 39. Calculate the remainder when p(4) is divided by 223.
28
Let q = -3 + -233. Let g = q - -245. Calculate the remainder when g is divided by 5.
4
Let n = -66 - -80. Suppose -9*h - 260 = -n*h. Suppose 32 = 2*y + 2*y. What is the remainder when h is divided by y?
4
Let s = -7 - -15. Suppose 0 = j + 3*j - s. What is the remainder when 119 is divided by 26 + j*6/3?
29
Let j(y) = y**2 + 20*y + 18. Let o(r) = r + 1. Let f(u) = -2*j(u) + 18*o(u). Let h be f(-9). Calculate the remainder when 84 is divided by ((116/6)/1)/(12/h).
26
Let s = 5 - 23. Calculate the remainder when 88 is divided by (-37 + 36)/(2/s).
7
Let n(b) = 24*b**2 + b. Let t(w) = -11*w + 21. Let m be t(-9). Suppose -9*f = -15*f + m. What is the remainder when n(2) is divided by f?
18
Let z(b) = 19*b**2 + 3*b - 1. Calculate the remainder when (5 + (6 - -146 - 1))/(8 + -7) is divided by z(2).
75
Let g = -179 + 734. Suppose 21570 + 3540 = 405*v. What is the remainder when g is divided by v?
59
Let w(z) = -8*z**2 + z. Let b be 1 - 0 - (-2 + -2)/(-1). Let h be w(b). Let l = h + 79. What is the remainder when 19 is divided by l?
3
Suppose 25671 = 85*v - 6714. Calculate the remainder when 642 is divided by v.
261
Let o(r) = -116*r**2 + 46*r + 12. Let m be o(9). Calculate the remainder when 70 is divided by m/(-741) + (-2)/19.
10
Suppose 0 = u + 3*r - 62, -2*u = 2*r - 4*r - 84. Let t be (-20)/15*90/(-4). Suppose 10 = -2*c + t. What is the remainder when u is divided by c?
7
Suppose 724*y - 739*y - 48368 = -156473. What is the remainder when y is divided by 9?
7
Let z(w) = w**2 + 3*w - 1. Let r(h) = -4*h**2 + 74*h + 54. Calculate the remainder when r(19) is divided by z(-5).
7
Suppose 0 = 4*u - 352 - 36. Let k = 109 - 59. Calculate the remainder when u is divided by k.
47
Let w(o) = 91*o - 149. Let x be w(-29). Calculate the remainder when x/(-20) + (-18)/45 is divided by 24.
19
Let y(f) = -879*f**2 + 87*f + 111. Let g(s) = -251*s**2 + 25*s + 32. Let l(x) = -18*g(x) + 5*y(x). Calculate the remainder when l(-2) is divided by 101.
97
Let m be (-4 + (-3)/((-3)/4))/3. Calculate the remainder when 97 is divided by (-10)/35 - ((-195)/21 + m).
7
Suppose 4*f = -0*f + 24. Let u(n) = 12*n + 69. Calculate the remainder when u(-3) is divided by f.
3
Let k(h) = 7*h - 31. Let q be k(5). What is the remainder when -3*2398/(-30) + q/(-5) is divided by 48?
47
Suppose 14*o = -518 + 2114. What is the remainder when 1934 is divided by o?
110
Calculate the remainder when 1894 is divided by 9/(45/1510) - (-17 - -8).
28
Suppose 2*p = 5*w - 219, -12*p + 144 = 3*w - 9*p. Let d = w + -43. Calculate the remainder when (-23)/(-7) - 4/14 is divided by d.
1
Let h = -10344 + 17683. What is the remainder when h is divided by 10?
9
Suppose -3*f + 502 = -29*b + 30*b, 3*b - 1510 = -5*f. Calculate the remainder when b is divided by 125.
5
Suppose 38781 - 24716 = 145*o. Suppose 8*w - 1160 = 4*w. What is the remainder when w is divided by o?
96
Let x(d) = 3 - 9 + 18 + d**2 + 12 + 4*d. Let b be x(6). Suppose 28 = -8*q + b. Calculate the remainder when 33 is divided by q.
5
Let n(l) = 3*l**2 - 2*l + 2. Let o be -3 - (-10 + (-24)/(-6)). Suppose 0 = o*u - 270 + 153. What is the remainder when u is divided by n(2)?
9
Suppose -7 = -11*y - 29. What is the remainder when ((-770)/5)/(-6 - (y - 3)) is divided by 18?
10
Let q = -3472 + 3522. Calculate the remainder when 242 is divided by q.
42
Suppose 0 = 194*f + 191*f - 357*f - 21364. Calculate the remainder when f is divided by ((-2)/4 - -1)*34.
15
Suppose -2*t - 101 = -5*p, 42 = 2*p - 2*t + 4. Suppose -2*k + 94 = -4*u, 141 = -p*k + 24*k - u. What is the remainder when k is divided by 18?
11
Suppose 2*c = 12, 4*j + 7*c - 9*c - 16 = 0. Let r = 3 + -11. What is the remainder when ((-82)/(-3))/(r/(-12)) is divided by j?
6
Suppose -3*v - 2*h + 6 = 0, 4*v - h = 3*v + 2. What is the remainder when 6/v*3346/42 is divided by 16?
15
Let u = -3922 - -7210. What is the remainder when u is divided by 47?
45
Suppose 0 = -48*n + 130*n - 18286. Calculate the remainder when 4234 is divided by n.
220
Suppose -4*d + 97 = 85. Let n be 2 + 3 + -4 + d. Suppose 4*f + 3*h - 43 = 0, 2*f - 48 = -2*f - n*h. What is the remainder when 30 is divided by f?
2
Let s(j) = 176*j - 416. What is the remainder when s(3) is divided by 56?
0
Suppose -5*u = 7*m - 3*m - 4759, 2*m - 5*u - 2417 = 0. Calculate the remainder when m is divided by 40.
36
Let l = 9 - 9. Suppose -7*w + 71 + 55 = l. What is the remainder when (70/(-8))/(1/(-4)) is divided by w?
17
What is the remainder when (23364/(-198))/((-2 - -5)/(-18)) is divided by 5?
3
Let g(a) = 5*a + 3. Suppose 18*u = 2373 - 573. Suppose 17*f - 22*f + u = 0. Calculate the remainder when f is divided by g(1).
4
Let w = 647 + -633. What is the remainder when 936 is divided by w?
12
Suppose -3*k = -2822 + 980. What is the remainder when k is divided by 8?
6
Let x = -390 + 688. Let y = x - 246. What is the remainder when y is divided by 8?
4
What is the remainder when 364 is divided by (-1)/(-5)*18 + 1508/3770?
0
Suppose 3*f + 295 = y, -3*f + 1120 = 4*y - 0*f. Suppose -835 = -26*j + y. Calculate the remainder when j is divided by 9.
7
Suppose 0 = 3*z - 2*p - 12, 5*z - p + 7 = 10*z. What is the remainder when ((-197)/z)/((26/4)/(-13)) is divided by 9?
8
Let g be (-45)/(-3)*(-12)/(-20). Let n(p) = -p + 3. Let r be n(g). Let z = 14 - r. Calculate the remainder when 79 is divided by z.
19
Let t(h) = -10*h + 235. Calculate the remainder when 1399 is divided by t(21).
24
Suppose 26*c = 482 - 40. Calculate the remainder when 83 is divided by c.
15
What is the remainder when 106 is divided by (11/(-2) + 5)*-134?
39
What is the remainder when 475 is divided by 4239/9*86/129?
161
Let r be 1/(1*(-2)/(-6)). Suppose q + r*q = 136. Suppose -61*t - 227 = -1020. Calculate the remainder when q is divided by t.
8
Let x(r) = r**2 + 6*r - 16. Let o be x(2). Let n = -2 - -12. Suppose -t = -o*t - n. Calculate the remainder when 39 is divided by t.
9
Let m(p) = -159*p - 708. What is the remainder when m(-7) is divided by 133?
6
Suppose 4*c = 3*n - 58, -4*c = -c + 12. Let h(y) = -y**3 + 12*y**2 + 30*y - 21. What is the remainder when 97 is divided by h(n)?
6
What is the remainder when (-31080)/(-150) - (0 + (-36)/(-30)) is divided by 23?
22
Suppose -128*s + 10217 + 8855 = 0. What is the remainder when 743 is divided by s?
147
Le