0. Let t = -19 - 37. Let k = -37 - t. Calculate the remainder when k is divided by b.
3
Suppose 480*f + 465*f = 959*f - 47502. What is the remainder when f is divided by 338?
13
Suppose -2*v - o = -167, -2*o = 3*v - 4*v + 86. Suppose -2*c + 14 = 2*n, 4 = n + 3*n. Calculate the remainder when v is divided by (0 - c/(-3)) + 15.
16
Let o(i) = -384*i + 2113. What is the remainder when 417 is divided by o(5)?
31
Let l = 307540 + -307376. Let y(n) = -2*n + 5. Let g = -3 - 2. Calculate the remainder when l is divided by y(g).
14
Suppose 154 = 10*c - 4306. Let p = c - 427. What is the remainder when 103 is divided by p?
8
Suppose 288*d - 24528 = -4*d. Let u(y) = 46*y**3 - y. What is the remainder when d is divided by u(1)?
39
Suppose 64*v + 132*v = v + 6825. Suppose 2*w - w = -5, 4*b = 2*w + 526. Calculate the remainder when b is divided by v.
24
Suppose -48*n - 671 + 7487 = -240. What is the remainder when 428 is divided by n?
134
Let a be 124/8 + 3/6. Let t(l) = -5*l - 5*l - a + 15*l. What is the remainder when t(11) is divided by 14?
11
Let b(n) = -2*n**2 - 11*n + 18. Suppose -69*c + 266 = -71*c. Let j = c - -215. What is the remainder when j is divided by b(-6)?
10
Let h = -3528 + 3575. What is the remainder when 716 is divided by h?
11
Suppose 2*c + 10*a = 5*a - 111, 0 = 5*c + 5*a + 240. Let u = c - -84. Calculate the remainder when u is divided by ((-2)/(-6))/((-3)/(-207)).
18
Let x be (-9)/(0 + 4/(-12)). Suppose -2 + x = l. Suppose -g - 9 = -8, -5*f = 4*g - 61. Calculate the remainder when l is divided by f.
12
Suppose -2*b - k + 27 + 18 = 0, 3*k + 25 = 2*b. Let m = b - 5. Calculate the remainder when 28 is divided by 56/6 - (-6 - (-110)/m).
4
Let z = -34 + 47. Let d = -470 - -815. Suppose 14*w - 299 = d. What is the remainder when w is divided by z?
7
Let i(r) = 34*r - 250. Let y be i(20). Suppose -22*p + y = -20*p. Calculate the remainder when p is divided by 27.
26
Let s = 56 - 27. Let w(r) = r - 21 + s - 19 + 3*r. Calculate the remainder when 59 is divided by w(8).
17
Suppose 5*t = p + 3542, 30*t - p + 1414 = 32*t. What is the remainder when t is divided by 77?
15
Let m(h) = h**3 - 9*h**2 + 14*h - 5. Let o be m(5). What is the remainder when (-2*5/25)/(1/o) is divided by 60/14 + (-22)/77?
2
Suppose -211*q + 220*q = 36. Suppose -4*i - 30 = -3*k - i, 0 = -q*k - 3*i + 61. Calculate the remainder when 127 is divided by k.
10
Let f = -13073 + 13093. What is the remainder when 292 is divided by f?
12
Let s = -65 + 63. Let i(g) = g**2 + 6*g - 5. What is the remainder when (10/(-2))/((s/(-8))/(-1)) is divided by i(-8)?
9
Let b = 10 + -7. What is the remainder when (-2)/b + 68/3 is divided by ((-6)/(-4))/(611/3666)?
4
Suppose 813 + 3317 = 70*o. Calculate the remainder when (844/(-6))/(22/(-33)) is divided by o.
34
Suppose j + 3*v - 186 = -2*v, -4 = v. Let y = -101 + j. Suppose -2*l - 29*o + 54 = -31*o, 0 = 2*l + 4*o - 54. What is the remainder when y is divided by l?
24
Let v(s) = 7*s**2 - 620*s - 29. Calculate the remainder when v(89) is divided by 17.
0
Let m(z) = -5*z - 20. Let j be m(-10). Suppose -j - 50 = -g. Suppose -2*w - d + 60 = 0, 0 = -2*w + w + 4*d + 21. Calculate the remainder when g is divided by w.
22
Suppose -89*f + 4527 = -4395 + 823. What is the remainder when 1448 is divided by f?
83
Suppose 52*w + 45*w = 26*w + 11928. What is the remainder when 484 is divided by w?
148
Let n(r) = -57*r**3 + r**2 + 2*r + 1. Let q be n(-1). Suppose -6*l + 93 = -q. Let y = 129 - 5. Calculate the remainder when y is divided by l.
24
Suppose 0 = 809*c - 827*c + 396. Calculate the remainder when 218 is divided by c.
20
Let u(a) = 8*a**2 + 4721*a + 28170. Suppose -9 = -3*k - 3. Suppose -k*c = 5*v - 37 - 17, 4*c - 60 = 2*v. What is the remainder when u(-6) is divided by c?
13
Let d(y) = 4*y**3 - 21*y**2 - 30*y + 142. Calculate the remainder when 219 is divided by d(6).
9
Let p(m) = 17*m + 957. Calculate the remainder when p(-13) is divided by 221.
73
Suppose b - 10*y - 1386 = -8*y, -3*b + 4164 = -4*y. What is the remainder when b is divided by 155?
152
Suppose 11*s = -h + 6*s + 242, h - 254 = -2*s. Calculate the remainder when h is divided by 54.
46
Let f(j) = -8*j - 276. Let s be f(38). Let g = s - -1002. Calculate the remainder when g is divided by 85.
82
Suppose -80*d - 1536 = -96*d. Suppose 6 + 6 = 4*p. Suppose 5*a - p*a - 50 = 0. What is the remainder when d is divided by a?
21
Let w be 4 + (3 - 10*(-6)/12). What is the remainder when ((-1520)/56)/(w/(-42)) is divided by 54?
41
Let w = 3578 + -3513. What is the remainder when w is divided by 33?
32
Suppose 0 = 34*d - 303 + 31. Calculate the remainder when 1453 is divided by d.
5
Suppose 0 = 8*l + 37 - 189. Suppose 0 = 3*i - l - 26. What is the remainder when 32 is divided by -4*i/(-4) + -4?
10
Suppose -120*z = -31756 + 1636. What is the remainder when z is divided by 30?
11
Let y(r) = -122 - 287 - 31*r - 43*r + 32*r. What is the remainder when y(-11) is divided by 28?
25
What is the remainder when 1108 is divided by (-64)/(-288) + (1 + -79)*4/(-54)?
4
Let z = -1664 + 1714. Calculate the remainder when 247 is divided by z.
47
Suppose 3*b + 0 - 9 = 0. Let v be 27/(270/40)*1. Suppose -2*h = -4*h - 5*y, -b*h = v*y - 7. What is the remainder when 9 is divided by h?
4
Let s be 9250/10 - (-3)/1 - 1. Let x = s + -888. What is the remainder when x is divided by 4?
3
Let d(h) = -18 + 5*h - 1 + 0*h + 3. Let p be d(14). Let q = p + -47. Calculate the remainder when q is divided by 7.
0
Let u(q) = 4*q + 16. Let a be u(-7). Let y(o) = o**3 + 11*o**2 - 15*o. Let f be y(a). Let g = f + -20. What is the remainder when 41 is divided by g?
9
What is the remainder when (-40)/(-4) + 62300/50 is divided by 78?
8
Suppose 0 = -r - 3*r - f + 55, 7*r - 91 = -f. What is the remainder when 1334 is divided by r?
2
Let f(v) = 18*v - 51. Let x be f(6). Suppose -10 = x*r - 59*r. Suppose 7*n - 132 = -r*n. What is the remainder when 65 is divided by n?
10
Let y = -783 - -1110. Suppose 144 = 2*m + 5*h, -y = -3*m - 2*m + 4*h. What is the remainder when m is divided by 19?
10
Let w = 1654 + -1542. What is the remainder when w is divided by -329*(-2 - 24/(-14))?
18
Let c = 2849948 + -2849909. Suppose -b - 11 = 2. Let d = b + 21. What is the remainder when c is divided by d?
7
Suppose -2*b - u = 690, 0 = -3*b - 2*u - 0*u - 1033. Let m = 370 + b. What is the remainder when m is divided by 4?
3
Let c(n) = n**3 + 14*n**2 + 46*n + 103. Calculate the remainder when 1066 is divided by c(-10).
34
Let q = 6632 - 6512. What is the remainder when q is divided by 55?
10
Suppose -u - 74 - 468 = -4*s, 3*s - 5*u = 415. Suppose -31*p - s = -34*p. What is the remainder when 134 is divided by p?
44
Let q(s) = s**2 - 114*s + 1095. Calculate the remainder when q(106) is divided by 217.
30
Let d(o) = 4*o**2 - 16*o - 187. What is the remainder when d(11) is divided by 70?
51
Let f(b) = 5*b**3 - 214*b**2 - 44*b + 75. Calculate the remainder when 7067 is divided by f(43).
27
Let h(x) = -2*x**3 + 57*x**2 - 79*x - 35. What is the remainder when 65 is divided by h(27)?
8
Let o(r) = r**3 - 11*r**2 + 10*r + 13. What is the remainder when 378 is divided by o(11)?
9
Let o(c) = -c**2 - 11*c - 12. Suppose -90*k = -4580 - 2710. What is the remainder when k is divided by o(-8)?
9
Let y(m) = 129*m + 4498. What is the remainder when 614 is divided by y(-33)?
132
Suppose 14988 = -2*t + 15230. What is the remainder when 1694 is divided by t?
0
Suppose 5 = 5*g - 5. Suppose 4*r = 2*m - 80, 4*r - g*r = 10. Suppose -2*t + 38 = -4*a, -8*t + 10*t = -4*a + 6. Calculate the remainder when m is divided by t.
6
Let l = -6690 - -12188. Calculate the remainder when l is divided by 141.
140
Suppose -125 = 22*d - 27*d. Suppose -23*z - 364 = -d*z. Calculate the remainder when z is divided by 95.
87
Let y(c) = -c**2 + 2*c + 17. Let j be y(-3). Let t(k) = k**2 + 4*k - 6. Let n be t(-5). Calculate the remainder when 32 is divided by -2 - j*(n + 34/(-4)).
15
Let p = 16 + 9. Suppose 5*z = -5*k + p, -z - 1 = -3*k + k. Suppose 0 = -0*y + k*y - 14. What is the remainder when 24 is divided by y?
3
Let p(g) be the third derivative of -10*g**2 + 0 - 3/8*g**4 - 7*g**3 + 0*g. What is the remainder when p(-8) is divided by 8?
6
Suppose 72*l = -57*l + 40*l + 1424. Calculate the remainder when 27503 