ppose -3*s - 3*c + 480 = s, c = -5*s + 600. Calculate the remainder when s is divided by (76/2 - 1) + (31 - (-546)/(-14)).
4
Suppose -40 = 2*n - 54. Suppose -5*d - 5*a + 20 = 0, 4*d - 5 + n = 5*a. What is the remainder when (d/2 + -13)*(-16)/24 is divided by 8?
0
Let d(z) = -2*z**2 - 9*z - 5. Let s be d(-6). Suppose -318*y = -3168 + 624. Calculate the remainder when s/(2 + -1 - 2) is divided by y.
7
Let l(s) = -s**2 - 57*s - 307. Calculate the remainder when 522 is divided by l(-49).
12
Suppose 0 = -9*q + 3*q + 6. Let a be (-15*(-3)/9)/q. Suppose -5*t = -a*s + 30, -6*s + 8 = -3*s - 5*t. Calculate the remainder when 11 is divided by s.
0
Suppose -2472 = -31*v + 1078 + 3053. What is the remainder when 7880 is divided by v?
212
Suppose 29*x - 401 = -22 + 288. Suppose -2*q = -q - 106. Suppose -q = -b - 3*d, -2*b = -b + 5*d - 116. What is the remainder when b is divided by x?
22
Suppose 32 = a - 2*q - 62, 3*a + 4*q = 322. Suppose -151 = -5*s - 26. Let m = s - -28. What is the remainder when a is divided by m?
49
Calculate the remainder when (-43038)/(-54) - (2 - 10) is divided by 31.
30
Let t(w) = 4*w**3 + 48*w**2 + w + 8. Let i be t(-12). What is the remainder when 75 is divided by (-1 + i)/((-40)/304)?
37
Calculate the remainder when 134 is divided by ((36/(-6))/(-18))/((-2)/(-636)).
28
Let d(c) = c**3 + 84*c**2 + 82*c + 90. What is the remainder when 2247 is divided by d(-83)?
171
Suppose -4*j = 4*q - 12, -q = -5*j - 9 + 24. Let i(z) = -5*z + 4. Let x be i(q). Suppose -7*t + 201 = -x*t. Calculate the remainder when t is divided by 24.
19
Suppose 2*i + 7 = 45. Suppose 152 = -i*a + 15*a. What is the remainder when 55 is divided by (a/(-3))/(24/36)?
17
Let a(k) = -7*k + 1. Suppose 41*d - 47*d = 86*d - 5704. Calculate the remainder when d is divided by a(-3).
18
Let q = 15 + -15. Let w be 3/(-12)*q - -4. Suppose -m + 4 = -w*y, -2 = -y + 1. Calculate the remainder when 78 is divided by m.
14
What is the remainder when 115 is divided by (139/(-1))/((-30)/15) + 9/6?
44
Let m = 243 + -161. Suppose -17*w + 20*w + 3*y = 30, 0 = -w + 4*y + 30. Calculate the remainder when m is divided by w.
12
Calculate the remainder when (-24)/444 - 1*44739/(-111) is divided by 68.
63
Suppose -9*w + 50 = -58. Suppose 5 = 5*g + 3*v - 4, 2*v + 1 = -g. Calculate the remainder when 1799/56 + g/(-24) is divided by w.
8
Let d be (4 - 2)*4/1. Let t = d - 3. What is the remainder when (-2)/(((-2)/15)/(72/60)) is divided by t?
3
Let i(x) = x**2 + 13*x + 44. Let f be i(-9). Suppose f*s + 15*s - 4370 = 0. What is the remainder when s is divided by 39?
34
Let j = 752 - 707. Suppose -5*i + 561 + 94 = 0. Calculate the remainder when i is divided by j.
41
Let z(y) = -74*y - 7 - 104*y + 11*y**2 + 126*y - 93*y. Calculate the remainder when z(15) is divided by 37.
34
Let s(l) = -9864*l - 39407. Let y = -47 - -75. Calculate the remainder when s(-4) is divided by y.
21
Let d be -4 + (0 - (37 + 2)). Let m = 56 + d. What is the remainder when 71 is divided by m?
6
Let p(s) = s**2 + s + 2. Calculate the remainder when (12/14)/6 - 1734/(-14) is divided by p(5).
28
Suppose 25*f - 32*f + 13833 = 46*f. What is the remainder when 7306 is divided by f?
259
Let w(t) = -90*t + 53. What is the remainder when 570 is divided by w(-1)?
141
Suppose 168 = 7*w + w. Calculate the remainder when 5 + 0 - (-760)/10 is divided by w.
18
Let k = -195 + 283. Let i = -99 - -88. Let s(w) = -w**2 - 12*w + 35. Calculate the remainder when k is divided by s(i).
42
Suppose 223 = -2*q + 13. Calculate the remainder when 117 is divided by (-3 - 1) + 4/((-20)/q).
15
Suppose 3*h + 5*x - 1 = 0, h + 0 = x + 3. Let m(o) = 23*o**2 - o - 6. Calculate the remainder when m(h) is divided by 35.
14
Suppose 5*b = -a + 12, -b = 2*a - 65 - 4. Calculate the remainder when 2025 is divided by a.
27
Suppose 31*m - 3168 = -68*m. Suppose -3*w + 88 = -2*w - 2*y, 2*y - 4 = 0. What is the remainder when w is divided by m?
28
Suppose 51*g + 4983 = 14316. What is the remainder when 333 is divided by g?
150
Let m(j) = -j**3 + 33*j**2 - 59*j - 71. Let c be ((-93)/(-15))/((-27)/(-135)). Calculate the remainder when m(c) is divided by 4.
2
Let p(a) = -a**3 - 23*a**2 - 152*a + 2. What is the remainder when p(-15) is divided by 94?
12
Let m = -78 + 88. Suppose -m*t + 541 + 79 = 0. Suppose -20 = l - t. Calculate the remainder when 250 is divided by l.
40
Let o = -5658 + 5664. Calculate the remainder when 17254 is divided by o.
4
Suppose 0 = -4*l + 3*w + 505, -4*l + w + 469 = -22. Calculate the remainder when 1330 is divided by l.
120
Suppose 1436*o + 379 = 3*p + 1437*o, -o = -3*p + 383. Calculate the remainder when 1026 is divided by p.
10
Suppose -2*f - 4*q + 6*q + 18 = 0, -5*q - 15 = 0. Suppose 0 = -x - x + f. Suppose 2*a - 23 = -5. Calculate the remainder when a is divided by x.
0
Suppose -6*h = 5*j - 1138, -4*j - 67 = h - 244. Calculate the remainder when 2001 is divided by h.
71
Suppose -3*p = -p - 22. Let b(h) = -h**3 - h + 29. Let n be b(0). Let c = n - 26. Calculate the remainder when p is divided by c.
2
Suppose 35*w - 83*w + 554 = -310. Calculate the remainder when 3309 is divided by w.
15
Suppose -3*o + 2*b + 938 = 0, 3*o - 644 = -2*b + 314. What is the remainder when o is divided by 271?
45
Suppose -23*d + 6354 + 2211 = -8*d. What is the remainder when d is divided by 14?
11
Suppose 4*q + 3*z + 54 - 9 = 0, 2*q = -3*z - 21. Let j(r) = r**2 - r - 110. Calculate the remainder when j(q) is divided by 12.
10
What is the remainder when (1/(-3))/((-15)/(-20)) - (-60934)/9 is divided by 37?
36
Suppose -755 = -x + 4*s, 3*x - 1864 = -s + 479. Calculate the remainder when x is divided by 384.
11
Let m = 4962 - 4228. Calculate the remainder when m is divided by 147.
146
Let f be ((-14)/6)/(1/(-3)). What is the remainder when 46 is divided by 68/f + (-4)/126*-9?
6
Suppose 11 = -4*p + 4*o + 7, -4*p - 3*o = -24. Suppose -4*r + 57 = p*a + 20, -4*a + 39 = -5*r. What is the remainder when a is divided by 11?
0
Let f(h) = -77*h**2 - 849*h + 18. Suppose -5*n = 2*m - 166, 2*n + 2*m - 41 - 29 = 0. Let l = n + -16. Calculate the remainder when f(-11) is divided by l.
8
Let o(a) = -a**3 + 9*a**2 + 6. Suppose 5*j = 5*d + 15, -29*j - d = -25*j + 13. Calculate the remainder when o(6) is divided by ((264/55)/(-24))/(j/230).
22
Suppose 182 - 110 = 4*f. Suppose 8*k - 7*k - 27 = 0. Calculate the remainder when k is divided by f.
9
Let v(w) = w**3 - 2*w**2 + 2. Let j be v(1). Calculate the remainder when j + (2/(-1) - (-73 - -24)) is divided by 24 - -1*4/2.
22
Let r(m) = -19*m + 2259. Calculate the remainder when r(20) is divided by 94.
93
Let q = 46 + 89. Let b = 142 - q. Suppose b*j = 5*j + 98. What is the remainder when 145 is divided by j?
47
Calculate the remainder when 91 is divided by (497/(-21) - -27)*(0 - -9).
1
Let k = -8 + 24. Suppose 0 = -l + 17 - k. What is the remainder when 6 is divided by -2 - (0/3 + (l - 6))?
0
Suppose -5*c = 5*p - 90, 2*p - 8*c + 6*c = 36. Calculate the remainder when 358 is divided by p.
16
Suppose -5*c - 506*n = -502*n + 14, -4*c - 16 = 4*n. Suppose -4*i - x + 0*x = -12, 5*i = x + 15. What is the remainder when i is divided by c?
1
Let k(g) = 359*g + 5776. Let z be 3*2/9*3. Suppose -26 = -z*a + 3*t - 7*t, 4*a = -3*t + 42. What is the remainder when k(-16) is divided by a?
5
Let a = 9604 - 6101. Calculate the remainder when a is divided by 21.
17
Let j be 70/(-42)*(-1 + -1 + -1). Calculate the remainder when 18 is divided by 1*-22*j/(-10).
7
Let t be (604/6)/((-15)/45). Let l = -203 - t. Calculate the remainder when l is divided by 51.
48
Let d(i) = -5*i - 47. Suppose -4*l - 72 = l + a, 4*l + 3*a = -51. Calculate the remainder when 79 is divided by d(l).
23
Let i = 7972 + -7946. Suppose -7*y + 2*y = -375. Calculate the remainder when y is divided by i.
23
Let m be (3 + 123/(-2))*(0 - 2). Calculate the remainder when (2 + 78/(-9))*m/(-6) is divided by 22.
20
Let b = -510 + 508. Calculate the remainder when 63 is divided by ((7 - 13)/(-12))/(b/(-44)).
8
What is the remainder when 2 + 9 + (-330)/(-44)*(-2)/(-3) is divided by 3?
1
Suppose 65 = r + 19. Suppose -42*z + r*z = 76. What is the remainder when 93 is divided by z?
17
Suppose 3*g + 2 = 4*g. Let l = g + 12. Calculate the remainder when -48*-4*1/6 is divided by l.
4
Let d = -12356 - -