the remainder when (-36)/9 - -413*(9 - -6) is divided by 172?
171
Let g = 198 - 196. Calculate the remainder when g + 182 + (-12 - -12) is divided by 47.
43
Suppose -3*n = -11 + 2. Suppose -n*w - 2 = 2*q, 3*w = -2*q + 2*w + 6. Calculate the remainder when q/((-15)/(-9)) - -54 is divided by 30.
27
Let i be 262/4 + (-35)/(-14). Suppose u + 13 = -s, 5*u = 5*s - 7*s - i. What is the remainder when 10 is divided by 8*63/u*(-3)/18?
4
Suppose -4*o + 2*o - 5 = q, q = 3*o + 15. Suppose 5*c + 28 = q*g, 3 = 2*g + 3*c - 3. Let b = 33 + -23. Calculate the remainder when b is divided by g.
4
Let t = 24 + -9. Suppose -4*d + 70 = -274. Calculate the remainder when d*((-66)/(-12) + -5) is divided by t.
13
Let w be -2 + (-45)/(-25) + 216/(-20). Let n(h) = 7*h**2 + 72*h - 16. Let y = 30 + -9. What is the remainder when n(w) is divided by y?
18
Let g = 9 + 3. Suppose 35675*z - 297 = 35666*z. Calculate the remainder when z is divided by g.
9
Suppose -142*r = -113*r - 2929. Calculate the remainder when 2826 is divided by r.
99
Let j be 84/15 - -4*1/10. Suppose -9 - 27 = -j*a. What is the remainder when 11 is divided by a?
5
Let i be (0 - (-4 + 10))/(3/44). Let p = -70 - i. What is the remainder when (2 - 2 - -3) + 66 is divided by p?
15
Let p = -92 - -182. Let o = p + -80. Calculate the remainder when 59 is divided by o.
9
Suppose -6*h + 10*h = -6 + 214. What is the remainder when 269 is divided by h?
9
Let d be -11 + 13 - 1*2. Calculate the remainder when d*(-2)/4 + 51 is divided by 1*14 - (-3)/6*-2.
12
Suppose -5*h = 5*s - 620, -370 = 20*h - 23*h - 2*s. Calculate the remainder when h is divided by 18.
14
Let q = 2393 - 2031. Calculate the remainder when q is divided by 11.
10
Let u = -202491 - -202528. Suppose 3*n + 3 = 2*n. Let x(p) = p**3 + 5*p**2 - 2*p - 3. Calculate the remainder when u is divided by x(n).
16
Suppose 9*s - 10*s = 4*p - 4965, 4*s = -2*p + 2514. What is the remainder when p is divided by 317?
288
What is the remainder when 659 is divided by (-7462)/(-104) - 18/(-8)?
67
Suppose 2*c = -c + 36. Let v = 4 + c. What is the remainder when (-36 - -41)/(5/42) + (1 - (7 + 5)) is divided by v?
15
Suppose -4*w - 19 = -487. Suppose -w = -5*l + 93. Let d = -503 - -585. Calculate the remainder when d is divided by l.
40
Suppose 0 = -5*a - 3*h - 146, 3*a + 81 = -2*h - 2*h. Let m(d) = d**2 + 22*d - 236. What is the remainder when m(a) is divided by 6/((-27)/(-12) + -2)?
19
Let y(o) be the second derivative of o**5/20 - 5*o**3/6 + 10*o**2 + 8*o. What is the remainder when y(0) is divided by 16?
4
Let c(q) = -4 + 5*q**2 - 50 - 4*q**2 - 14*q. Let r be c(20). Suppose 0 = -r*t + 62*t + 12. Calculate the remainder when 16 is divided by t.
1
Calculate the remainder when 314 is divided by 4346/(-287)*14/(-4).
49
Suppose 2*p + p = 255. Suppose -q = -5*x + p, -x - 3 = 5*q + 6. Suppose 4*k - 44 = x. Calculate the remainder when 56 is divided by k.
11
Suppose 3*k = p - 16, 7*k + 4 = 5*k + 4*p. Let s = 63 - k. Let a = 99 - s. Calculate the remainder when a is divided by 11.
8
Suppose 95*q - 776 - 340 = 974. Calculate the remainder when 3055 is divided by q.
19
Let j(m) = 152*m + 1147. Calculate the remainder when j(-6) is divided by 15.
10
Suppose 4*p = -h + 20 + 495, 5*h = -5. Calculate the remainder when 368 is divided by p.
110
Let r = -3237 + 3365. Calculate the remainder when r is divided by 28.
16
Let o(d) = 5*d**2 + 29*d + 579. Calculate the remainder when o(51) is divided by 162.
159
Let c = 73 - 34. Suppose 0 = -h - 17 + 23. Suppose h = a - d - 8, a - 14 = -3*d. What is the remainder when c is divided by a?
11
Suppose 2*d = -8, -5*d - 40 = 3*i + 70. What is the remainder when (0 - 33/12)*12/(-3) is divided by (-10)/1*(i/(-12) + -3)?
1
Suppose 84*y = 56*y + 92596. Calculate the remainder when y is divided by 18.
13
Suppose -1004*i + 48 = -988*i. Let r(a) = 16*a**2 - 5*a + 3. Calculate the remainder when r(3) is divided by (22 - 4)/(2/i).
24
Suppose 13448*b = 13444*b + 1408. Calculate the remainder when b is divided by 282.
70
Suppose -355 - 77 = -12*x. Calculate the remainder when 161 is divided by 2/(-2 + 0) - (-55 + x).
17
Let j = -9 - -21. Let m(s) = s**2 - 2*s + 10. What is the remainder when m(j) is divided by (-32)/(-112) + 458/14?
31
Let o(b) = -8*b - 60. Let l(g) = 154*g + 1141. Let y(c) = -3*l(c) - 56*o(c). Calculate the remainder when 97 is divided by y(-8).
48
Let m(j) = 5*j**2 + 63*j - 20. Let p be m(-13). Suppose p*s + 60 - 330 = 0. Calculate the remainder when 133 is divided by s.
43
Let j(u) = u**2 + u + 1. Let d(h) = 20*h**2 + 6*h + 1. Let w(b) = d(b) - 4*j(b). Let y be -6 + -3 + 4 + 6. What is the remainder when w(y) is divided by 5?
0
Let v(q) = 2*q**2 + 182*q + 2351. What is the remainder when 1306 is divided by v(-78)?
14
Suppose -675 = -30*x + 5*x. What is the remainder when 124 is divided by (3 - 616/(-18)) + (-6)/x?
13
Suppose -132*t + 72*t = -66*t + 882. What is the remainder when 308 is divided by t?
14
Suppose -29 = -3*v + 5*c - 0*c, 5*c + 5 = 0. What is the remainder when 492 is divided by v?
4
Suppose 4*d + 9*k - 5956 = 0, 3*d - 1984 = 4*k + 2483. Calculate the remainder when d is divided by 10.
9
Let r = 41 + -52. Let d = r - -15. Let c(x) = 11*x - 5. Calculate the remainder when 76 is divided by c(d).
37
Suppose 0 = 2*m + 20 - 28. Suppose -5*i + 150 = 5*z, 0 = -2*i - m*z - 39 + 105. Let o(b) = 28*b - 6. What is the remainder when o(3) is divided by i?
24
Suppose 0 = -4661*l + 4635*l + 28860. Calculate the remainder when l is divided by 539.
32
Let u = 2663 - 2035. Let c(g) = -g**3 + 9*g**2 - 5*g - 3. Calculate the remainder when u is divided by c(8).
19
Let c = -319 + 324. Suppose c = -5*g, 3*i - 51 = -4*g - 25. What is the remainder when 107 is divided by i?
7
Let g = 46 - -138. Let z = -158 + g. Calculate the remainder when 7/1*(4 - -3) is divided by z.
23
Let n = -9293 - -10525. What is the remainder when n is divided by 18?
8
Suppose 11*v - 18*v = 0. Let g be ((-10)/60 - (-1)/(-3))*v. Suppose -7*h + 330 - 71 = g. What is the remainder when h is divided by 14?
9
Let h(j) = 51*j**2 - 12*j + 9. Let u be h(3). Suppose -3*v + 3*g = -u, -v + g - 142 = -2*v. What is the remainder when v is divided by 27?
8
Let j = -441 + 440. Calculate the remainder when 29 is divided by ((-3)/(21/70))/j.
9
Suppose -r - 18 = -3*h + 13, 3*h = 5*r + 47. What is the remainder when 67 is divided by 141/h + 49/21 + -2?
3
Suppose 2*x - 274 = -2*r + 3*r, -x = 3*r - 130. Suppose -5*t + 281 = x. Calculate the remainder when 76 is divided by t.
18
Suppose 2*w = 5*w - 282. Suppose -1176 = -12*d - 2*d. Suppose 3*q = 4*y - 123, 3*y - 6*y = -5*q - d. What is the remainder when w is divided by y?
28
Calculate the remainder when 1/(-9) - 207392/(-288) is divided by 28.
20
Let v(q) = -159*q + 1096. What is the remainder when 515 is divided by v(5)?
214
Suppose 2*f - 96 = -2*b, 2*f - 104 = -419*b + 415*b. Calculate the remainder when 2435 is divided by f.
15
Suppose -23*i = -28*i + u - 94, -56 = 2*i - 5*u. What is the remainder when 86 is divided by (-24)/i + (-595)/(-15)?
4
Let v(l) = l**3 - l**2 - 15*l - 2. Suppose -5*b = -5*r + 15, -11*r = -12*r + 4*b - 3. Calculate the remainder when 40 is divided by v(r).
17
Let i be (-1)/4 + 122/8. Let z = i - 15. Suppose 4*b = 5*s + 69, b - 6*b - 2*s + 78 = z. What is the remainder when 28 is divided by b?
12
Calculate the remainder when 254*((-30)/(-45))/(2/3) is divided by 84.
2
Let k = -388 - -401. Let p(m) = -107*m - 1. Let t be p(-1). Suppose 4*i + 5*b = t, -i + 3*i + 5*b - 58 = 0. What is the remainder when i is divided by k?
11
Let n = -10931 - -10944. What is the remainder when 813 is divided by n?
7
Let y = -79 + 92. Suppose -x = 7 + y. What is the remainder when 27 is divided by (-117)/(-12) + (-5)/x?
7
Let w(m) = -86*m - 2. Let k be w(-2). Suppose 226 = 3*d - k. Calculate the remainder when d is divided by 33288/2774 - (-66)/2.
42
Let o(l) = 6*l + 288. Let q(c) = -30*c + 13. Calculate the remainder when o(0) is divided by q(-2).
69
Suppose -24 = -27*j + 23*j. Suppose -3*w + 6 = 0, 9*w - j*w = 2*i - 76. Let d = 20 + -14. Calculate the remainder when i is divided by d.
5
Suppose 4*a - 113 = -93. Suppose -a*o + 4*o = -9. What is the remainder when (4 - (-4 + -23))/1 is divided by o?
4
Suppose -19*c + 14*c = 12*c - 476. 