t s = q - 225. What is the remainder when s is divided by 44?
43
Let t be 185/30 + ((-5)/(-6) - 1). Suppose -5*d = -6 + t. Suppose -5*k - 5*l = -d*k - 495, -3*l = -k + 83. What is the remainder when k is divided by 12?
11
Suppose -934*p + 561 = -933*p + 5*n, n - 1176 = -2*p. What is the remainder when p is divided by 31?
2
Let t = -271 + 357. Suppose -t = -x - x. Calculate the remainder when 255 is divided by x.
40
Suppose 8*x = 10*x + 610. Let j = -45 - x. Suppose 9*a - j = -71. Calculate the remainder when 74 is divided by a.
11
Let o be ((-593)/(-1))/(7 - 301/42). What is the remainder when (o/30 - 7)/((-4)/10) is divided by 53?
49
Let q = -32987 - -37712. Calculate the remainder when q is divided by 110.
105
Suppose 94*y + 46*y - 5094 = 4426. What is the remainder when 1964 is divided by y?
60
Let q = -22 - -42. Let v be 9/(-12)*(-3 + -1). Suppose -27 = -4*u + v*t, -u + 1 = 3*t + 2*t. Calculate the remainder when q is divided by u.
2
Suppose -268 = -6*m + 2*m. Let u = 134 + -131. Suppose -4*n = -5*w - 2*n + 66, -2*w = u*n - 34. What is the remainder when m is divided by w?
11
Suppose -w - 763 = -28*h + 24*h, -368 = -2*h - 4*w. Calculate the remainder when 398 is divided by h.
18
Let b(u) = u**3 - 8*u**2 + 6*u + 10. Let k be b(9). Suppose 5*h - g = k, 5*g - 25 = -0. Calculate the remainder when 101 is divided by h.
11
Calculate the remainder when 52 + -15 + 5 - 9 is divided by 12.
9
Let s(n) = -n**3 + 19*n**2 + 68*n + 125. What is the remainder when 754 is divided by s(22)?
78
Let u(x) = -x**3 - 10*x**2 - 7*x + 22. Let n be u(-9). Suppose 9 = -n*c + 5*i, -4*i + 21 = -5*c - i. What is the remainder when (-675)/c - 6/4 is divided by 28?
27
Suppose 3*o = 4*i - 1902, 473 = i + 61*o - 63*o. Calculate the remainder when i is divided by 219.
39
Let s = -226 - -411. Let b = -110 + s. Let q = 21 + -7. What is the remainder when b is divided by q?
5
Let p(a) = 40*a + 1496. Calculate the remainder when 360 is divided by p(-37).
8
Suppose 4263 - 13269 = -81*c - 33*c. Let d(o) = -o**3 + 7*o**2 - 4*o - 2. Calculate the remainder when c is divided by d(5).
23
Suppose 3 + 17 = -4*s, -3*c + 47 = -4*s. Let l be (-3)/2*6*-1. Suppose -t + l = -c. Calculate the remainder when 29 is divided by t.
11
Let j(n) = -37*n - 10. Let z(u) = -38*u - 11. Let c(x) = -4*j(x) + 5*z(x). What is the remainder when 73 is divided by c(-1)?
19
Let n = 7178 - 7140. Calculate the remainder when 69 is divided by n.
31
Let s be 6/4*(408/(-18))/(-2). Suppose s*w - 7*w - 3710 = 0. Calculate the remainder when w is divided by 17.
14
Let p(b) = 89*b - 493. What is the remainder when p(6) is divided by (2 + 2/5)/((-28)/(-210))?
5
Let j(g) = 104*g + 88. Let t be j(16). Calculate the remainder when (t/48)/((-1)/(-2) + 0) is divided by 30.
13
Suppose 4*w + 4*s - 36 = 136, 12 = -3*s. Suppose 13*p - 18 = w. Let g(l) = 9*l - 16. What is the remainder when 115 is divided by g(p)?
28
Let m = 28208 + -27327. What is the remainder when m is divided by 286?
23
Let s(f) = 3*f**3 - 11*f**2 - 7*f + 14. Suppose -108*g + 65 = -95*g. Calculate the remainder when s(g) is divided by 0 + 1 + 2*20.
38
Suppose 0 = -67*o + 64*o - 4*b + 470, 310 = 2*o + b. Calculate the remainder when 1389 is divided by o.
3
Suppose 158 = a + a. Let m(w) = -w**2 - 20*w + 2612. What is the remainder when a is divided by m(42)?
7
Suppose -f - 3*b + 13 = 0, 14*f - 9*f - 98 = -4*b. What is the remainder when 20634 is divided by f?
20
Let x(n) = n**2 - 6*n + 3. Suppose 8*a - 23*a - 75 = 0. What is the remainder when x(a) is divided by 15?
13
Let p = -6062 - -10120. What is the remainder when p is divided by 33?
32
Suppose 2*n = 4*v + 2422, -1621 - 3238 = -4*n + 3*v. Calculate the remainder when n is divided by 3.
2
Calculate the remainder when 1653 is divided by 48/(-132) - (11 + 4335/(-33)).
93
What is the remainder when 155 is divided by -2 + -9 + 42 + 13?
23
Let m be 12/(294/72 + -4). Suppose -149*h + m*h = -330. Suppose 5*i = 3*q + q + 73, 5*i = 3*q + 76. Calculate the remainder when h is divided by i.
15
Let n(v) = 2*v**2 - v + 186. Let g be n(0). Let d be (g/(-9) + 1)*-3. Suppose 0 = -2*u + d + 27. What is the remainder when u is divided by 16?
11
What is the remainder when 437 + (-16 + 27 - 1) is divided by 157?
133
Calculate the remainder when 671 is divided by (173/(-7))/((-152)/1064).
152
Suppose 9855 = -2*c + 14*c + 9639. What is the remainder when 1722 is divided by c?
12
Suppose -4*y = -4*k - 1000 + 380, -500 = -3*y - 4*k. What is the remainder when y is divided by 7170/90 - (-4)/3?
79
Let p = 15386 - 15287. Calculate the remainder when 1384 is divided by p.
97
Let w be (-2)/(32/(-152))*2. Suppose 3*b - 220 = -w. Calculate the remainder when 265 is divided by b.
64
Suppose -5*a - 11*u + 526 = 0, 0 = -877*a + 872*a - 2*u + 472. Calculate the remainder when 803 is divided by a.
67
Suppose -5*i - 41 = -v, 3*v = -4*i + 53 - 44. Let h(x) = 20*x + 5. Calculate the remainder when h(4) is divided by v.
8
Let s = -115 + 115. Suppose s*t - 253 = -t. Calculate the remainder when t is divided by 16.
13
Suppose -52*k - 52*k + 5766 = -11*k. What is the remainder when k is divided by 34?
28
Let a = -1278 + 1415. Calculate the remainder when a is divided by 66.
5
Suppose 2*h - 284 = -26*r + 24*r, -4*r + 292 = 2*h. What is the remainder when h is divided by 75?
63
Let l = -6 - -8. Let f = -7333 + 7354. Calculate the remainder when (-1 - -1) + (62 - l) is divided by f.
18
Suppose 0 = 7*j - 6*j + 1, 3*j - 81 = -2*f. What is the remainder when 184 is divided by f?
16
Suppose -5*g + 676 = -g. What is the remainder when g is divided by 5 + 4 - (-8 - 20/10)?
17
Let t = 15 + -10. Let m = t + -2. Let d(y) = -y**2 + 52*y - 506. What is the remainder when m is divided by d(13)?
0
Let k(o) = 8*o - 227. What is the remainder when (25 + -81)*(-46)/8 is divided by k(30)?
10
Let m = -4 + 9. Suppose 12*j - 10*j - 8 = 0, -j = -2*a + 12. Suppose -10*f + a*f = -28. Calculate the remainder when f is divided by m.
4
Let s be 2/(0 + 2) + -12. Let o(n) = n**2 + n + 14. Let i = 9561 - 9540. Calculate the remainder when o(s) is divided by i.
19
Let h = -194 - -286. Suppose 0 = q - 11 - h. What is the remainder when q is divided by 13?
12
Let r(n) = -n**3 + 4*n - 77. Let q be r(0). Let p = -13 - q. Calculate the remainder when 186 is divided by p.
58
What is the remainder when 18/(-4) - 207035/(-94) is divided by 1098?
2
Let b be (12/20)/(1/5). Let t be (-6)/3*(b + -1). Let p(k) = -42*k - 10. What is the remainder when p(t) is divided by 23?
20
Suppose 0*p + p + 46 = 0. Let c = p + 46. Calculate the remainder when 48 is divided by ((c - -1) + 33)/(3 + -1).
14
Let v(w) = w**3 - 4*w**2 - 113*w - 18. What is the remainder when 322 is divided by v(-8)?
86
Let c(y) = -y + 16. Let p(g) = 10*g - 129. Let j(f) = -51*c(f) - 6*p(f). Calculate the remainder when 71 is divided by j(-6).
11
Suppose 4*x = -3*m + 631, -x + 3*x + 5*m = 333. Suppose 0 = -3*t - 3 + 81. What is the remainder when x is divided by t?
24
Let g = -2278 - -1576. Calculate the remainder when (g/(-4))/9*(-10)/(-3) is divided by (3 - 6)*57/27*-3.
8
Let a(y) = -y**2 - 9*y - 8. Let w be a(-6). What is the remainder when 298 is divided by 5*12/(-6)*(-76)/w?
70
Suppose 5*y - 244 = 406. Let q = 17347 - 17303. What is the remainder when y is divided by q?
42
Let g(u) = 8*u**2 + 4*u - 5. Let o be ((-9)/6)/(-2 - (-10)/8). Let c be g(o). Calculate the remainder when 67 is divided by (-10)/c + (-163)/(-7).
21
Let h(y) = -y**2 + 179*y + 4709. Suppose 0 = x - 162 - 87. What is the remainder when x is divided by h(-23)?
60
Suppose 109*j - 22981 - 9392 = 0. What is the remainder when j is divided by 13?
11
Let i = -18046 - -18517. What is the remainder when i is divided by 164?
143
Suppose -83*s + 19858 = 7491. Calculate the remainder when s is divided by 9.
5
Let k(s) = s**2 - 15*s - 4. Let a be k(15). Let c = a - 52. Let r = c - -143. Calculate the remainder when r is divided by 9.
6
Suppose 5*y + 2*w = 204, y - 645*w = -648*w + 46. What is the remainder when 27159 is divided by y?
39
Let q = 14 - 11. Suppose -7*k + 364 = -q*k. What is the remainder when 1442/k - (-2)/13 is divided by 6?
4
Suppose -2*c + 2 - 3 = 3*v, 0 = v + 5*c + 22. Suppose -v*z = -35 - 28. Let p(w) = -14*w - 54. What is the remainder when p(-8