p - 30, 2*c = -3*p + 9. What is the remainder when (-201)/(-9) + c/9 is divided by s?
4
Suppose 15 = 7*m - 6. Calculate the remainder when (1 - (m + 4)) + 165 is divided by 27.
24
Let n be 1/6 + 87/(-54)*-3. Suppose 113 = 9*z + n. What is the remainder when 299 is divided by z?
11
Let g(w) = 580*w**3 + 14*w**2 - 13*w - 22. What is the remainder when g(2) is divided by 75?
73
Suppose 4*i - 1 = 3*i. Suppose -3*p = -50 - 34. Suppose -r - i + p = 0. What is the remainder when r is divided by 8?
3
Let b = 20172 - 14785. What is the remainder when b is divided by 22?
19
Let v be (16/12)/(6/63). What is the remainder when ((-34)/(-5))/(v/210) is divided by 21?
18
Suppose 265*u - 524*u + 267*u - 464 = 0. Let g(i) = 8*i**3 - 3*i**2 + 3*i + 3. Let t be g(3). Let h = 431 - t. Calculate the remainder when h is divided by u.
56
Let u(s) = 36*s + 2238. Calculate the remainder when u(-7) is divided by 54.
42
Let o be ((-11)/((-44)/(-12)))/(3/232). Let w = -127 - o. Let f = 146 - w. What is the remainder when f is divided by 15?
11
Suppose 99*u + 9002 = 13105 + 41536. Calculate the remainder when u is divided by 441.
20
Suppose -4*t + 7*i + 9456 = 0, -2*t + 4722 = -109*i + 107*i. What is the remainder when t is divided by 7?
5
Suppose 0*p - 2*p - 653 = 3*i, 0 = -p + 5. Let w = i - -340. What is the remainder when w is divided by 44?
31
Let p be (17/2)/(21/42). Suppose -p = -4*g + 7. Suppose g*o = 11*o - 35. What is the remainder when 19 is divided by o?
5
Suppose -5*v + 4*g - 1302 = 0, -v + 0*v - g - 264 = 0. Let b be v/4 - 12/(-8). Let i = b - -78. What is the remainder when 123 is divided by i?
11
Suppose 6 = -2*k - 0*k. Suppose 105*t = 114*t - 1440. Calculate the remainder when t is divided by 1/(k + (-156)/(-51)) - -1.
16
Let w be -9*(55/(-15) - -3). Suppose v - 19 = -5*n + 8, -v = -2*n - w. Calculate the remainder when 1 + -4 - (-38)/1 is divided by v.
11
Suppose -8 = -4*l, 5231 = 7*o + l - 31934. Calculate the remainder when o is divided by 16.
13
Let l = -580 - -2893. Calculate the remainder when l is divided by 13.
12
Suppose -33*s - 416 + 1836 = 38*s. Calculate the remainder when 369 is divided by s.
9
Suppose -5*x = 2*s + 1, -5*x = s + 29 - 26. Calculate the remainder when x/3*8/((-24)/3303) is divided by 46.
45
Suppose -5*s - 172*c + 173*c = -1408, -2*c = -2*s + 552. What is the remainder when 887 is divided by s?
38
Let x(q) = q**3 + 20*q**2 - 84*q - 1376. What is the remainder when x(-14) is divided by 108?
4
Let v(d) = d**3 - 11*d**2 + 49*d - 343. What is the remainder when v(18) is divided by 72?
71
Suppose -2*k + 441 = -1097. Let y = -624 + k. What is the remainder when y is divided by 30?
25
Let u(o) = 14*o + 5. Let q be u(-14). Let j = q + 196. What is the remainder when 79 is divided by j?
4
Suppose 5*w - 3*w = 26. Let i = 122503 + -122501. What is the remainder when w is divided by i?
1
Suppose -3*b - 10 = 2*z - 58, -3*z = -5*b - 72. Suppose 3*a - 3*d - 764 + 719 = 0, -5*a = 4*d - 3. What is the remainder when z is divided by a?
3
Let u = 48128 - 31569. What is the remainder when u is divided by 20?
19
Let x = 36 - 28. Suppose 3 - 6 = -3*c, 5*y + 3*c = x. Calculate the remainder when -2 + y + 2 + (3 - -28) is divided by 17.
15
Let h = -231 + 252. Suppose -h*z = -14*z - 147. Calculate the remainder when z is divided by 4.
1
Let d be (1/(-2) + 1)/((-4)/(-8)). Let v = 38 + -13. Calculate the remainder when (3 - 77/2)/(d/(-2)) is divided by v.
21
Let k(h) = -2*h**3 - 22*h**2 - 5*h - 95. Calculate the remainder when k(-13) is divided by 216.
214
Let i = 14 - 5. Calculate the remainder when 338/5915 - (-2446)/70 is divided by i.
8
Let b be (2 - -2)*(91/14 + -6). Calculate the remainder when 13 is divided by ((0 - b) + 0)*(-95)/38.
3
Let d(i) = 150*i - 9455. What is the remainder when 1834 is divided by d(67)?
49
Let k(l) = 63 - 92 - l + 44. What is the remainder when k(-32) is divided by 12?
11
Suppose 144 = 3*r + 1002. Let j = r - -303. What is the remainder when 84 is divided by j?
16
Let l = 25556 - 25518. Calculate the remainder when 529 is divided by l.
35
Let t = -29 + 33. Suppose t*f + 10 = 5*f. Suppose 51 = -2*d + 89. Calculate the remainder when d is divided by f.
9
Let o(t) = t**2 + 30*t - 538. Calculate the remainder when 81 is divided by o(13).
18
Let r(h) = 7*h**2 + 8*h - 7. Suppose 69*f + 15 = 66*f. What is the remainder when r(f) is divided by 65?
63
Let s = -17 + 29. Let c be 0 + s/(-42) + (-30)/(-7). Suppose 8*o = c*o + 64. Calculate the remainder when 78 is divided by o.
14
Let q(a) = -8*a**2 - 158*a - 139. Calculate the remainder when 6663 is divided by q(-18).
109
Let m(n) = -n**3 + 19*n**2 - 26*n - 51. Let s be m(17). Suppose s = -p + 128. Calculate the remainder when 83/((-1)/(1*-1)) is divided by p.
40
Let x(q) = 7*q + 88. Let a = -336 + 325. Let f(d) = d. What is the remainder when x(a) is divided by f(2)?
1
What is the remainder when -7 + (-15 - -32) + 675 is divided by 163?
33
Let n be 5/(-20) - (-122)/8. Suppose 1 = 2*p - n. What is the remainder when (6/14 - 1)/((-110)/2695) is divided by p?
6
Let t = 24753 - 24742. Calculate the remainder when 293 is divided by t.
7
Let h(d) = d**3 + 59*d**2 - 60*d + 195. Calculate the remainder when 584 is divided by h(-60).
194
Suppose -22*w = 14*w - 756. What is the remainder when 161 is divided by w?
14
Let h(r) = -24*r + 372. Calculate the remainder when 4529 is divided by h(11).
101
Suppose -597 = 2*r - 1153. Suppose -1385 = 273*c - r*c. Let s(t) = t**2 + 2*t - 4. What is the remainder when c is divided by s(4)?
17
Suppose -288 = -4*y + 1549*n - 1546*n, -4*y = -n - 280. Calculate the remainder when y is divided by 48/60 - (-82)/10.
6
Suppose 73*t - 1485 - 8224 = 0. Calculate the remainder when 254 is divided by t.
121
Let o = 7168 + -6733. What is the remainder when o is divided by 203?
29
Let l(b) = 20*b - 8. Let s be l(2). Suppose -2*w - s + 36 = 0. Suppose -3*o - 7 = -2*p, 4*p - w*o = p + 23. Calculate the remainder when 30 is divided by p.
8
Suppose 3*d - 4 = 2*k, 0 = -6*d + 4*d - k - 9. Let f(s) = -24*s**3 + 2*s**2 - 4. Calculate the remainder when f(d) is divided by 50.
46
Let y(o) = -24*o**3 - o**2 + 1. Let n be y(-1). Suppose -h + 4*h - 4*t = 163, -2*h + 5*t = -118. Let r = h - n. What is the remainder when r is divided by 13?
12
Suppose 4*c = 484 - 8. Calculate the remainder when c is divided by (-47)/376 + 363/24.
14
Let m(v) = 12*v**2 - v + 21. Calculate the remainder when m(-3) is divided by 19.
18
Suppose 5*w - 80 = 5*n, w - 2*n - 11 = 8. Let l = -3133 + 3182. What is the remainder when l is divided by w?
10
Let r = -68 - -120. Suppose -55*a + 207 = -r*a. Suppose 5*m = -5*w + 235, w - a = -2*m + 4*w. Calculate the remainder when m is divided by 11.
9
Suppose 30*j + 121 = 35*j - 2*m, -5*j + 5*m = -145. Calculate the remainder when 1937 is divided by j.
5
Suppose 5*f = 3*g - 162, 5*g + 5*f = 491 - 181. Let l = 25 + -28. What is the remainder when g is divided by -1*7*l + -1?
19
Let f = 559 + 179. Calculate the remainder when f is divided by 227.
57
Let w(g) = -17*g - 118. Calculate the remainder when (-141)/6*-1*2 is divided by w(-8).
11
Let l = 64 - 57. Let t be 99/l + 4/(-28). Let y = t - 5. What is the remainder when 34 is divided by y?
7
Suppose 1722 = -5*i + 46*i. Calculate the remainder when i is divided by 15.
12
Suppose 2*x - 4*c + 23 = -1, 4*x + 22 = -5*c. Let d be 6 + (-4)/x*-6. Let l(b) = 3*b - 4. What is the remainder when 9 is divided by l(d)?
4
Suppose 0 = -10*j + 4602 - 2. Calculate the remainder when j is divided by 14.
12
Let l(k) = 20*k + 71. Calculate the remainder when 920 is divided by l(0).
68
What is the remainder when (49/(-35) - -2)/(3/570) is divided by 36 - ((-3)/1 - -4)?
9
Suppose -3008*t = -2989*t - 5282. Calculate the remainder when 586 is divided by t.
30
Let p = 271 + -266. Suppose j + 5*r + 210 = 6*j, -4*j + p*r = -163. What is the remainder when j is divided by (-4)/(-10) - 118/(-5)?
23
Suppose -6 + 112 = 2*j - 412. What is the remainder when j is divided by 82?
13
Let l be -3*260/6 - (3 + -5). Let r = l + 190. Let a = r - 37. What is the remainder when a is divided by 9?
7
Suppose -7*h = -8*h + 2486. Suppose -p - h = -3*l, 2516 + 788 = 4*l + 4*p. Suppose a + 11*a - l = 0. Calculate the remainder when a is divided by 36.
33
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