et l = c - 31. Calculate the remainder when 102 is divided by l.
12
Let l(v) = 33*v**2 - 15*v**2 - 17*v**2 + 3*v. What is the remainder when 26 is divided by l(-5)?
6
Suppose -8 = -m + 12. Let o(v) = -2*v**2 + 39*v - 3. Let u be o(19). Suppose i + u*i - 187 = 0. Calculate the remainder when m is divided by i.
9
Let v = 11172 - 9541. What is the remainder when v is divided by 38?
35
Suppose 57*q - 33699 = 6591 + 14943. Calculate the remainder when q is divided by 140.
129
Let g = -141 - -150. Suppose -4*a = 3*f - 534, 5*a = 5*f + g*a - 882. What is the remainder when f is divided by 8?
6
Let n(d) = d**2 + 7*d - 60. Let u be n(5). Suppose u = 26*y - 983 - 915. What is the remainder when y is divided by 10/(-4)*-6*1?
13
Suppose 0 = 2*p - 4, j - 5*p = -15 - 29. Let n = 75 + j. Let b = n - 37. What is the remainder when 9 is divided by b?
1
Let m = -481 - -479. Calculate the remainder when 106 is divided by m/3*6*-3.
10
Suppose 44*g + 391 = 3241 + 186. Calculate the remainder when 504 is divided by g.
21
Suppose -3 + 15 = 3*r. Suppose 0 = -r*k + 3*j + 200 + 643, -2*k + 409 = j. Suppose 4*i - k = -59. What is the remainder when 182 is divided by i?
34
Let z(n) = -2*n + 45. Let p(b) = -b**3 - 33*b**2 + 36*b + 84. What is the remainder when z(-15) is divided by p(-34)?
11
Let n(d) = d**3 + 6*d**2 + 4*d + 7. Let w be n(-5). Suppose 6 + w = -6*a. What is the remainder when 27 is divided by (-2 + 1 + a)*(-30)/8?
12
Suppose 18*y - 78*y = -20040. Calculate the remainder when y is divided by 2*12 + 3 - 3.
22
What is the remainder when 1004 is divided by ((-54)/(-8))/(11/((-352)/(-6)))?
32
Suppose 0 = h + 106 - 177. Let f = -25 + h. What is the remainder when f is divided by 16?
14
Let d(a) = a**2 - 4*a - 39. Let p be d(8). What is the remainder when 156 is divided by (-2 - (3 + 5 + p)) + 13?
6
Suppose -3*h - 13 - 8 = -x, 4*x = 2*h + 124. Calculate the remainder when 153 is divided by 4/(26/x + 16/(-24)).
21
Let a(n) = -3*n**3 - 2*n**2 - 4*n. Suppose c + 1036 - 1062 = 0. Calculate the remainder when a(-3) is divided by c.
23
Suppose 3 + 675 = -6*h. Let v = -87 - h. What is the remainder when 154 is divided by v?
24
Suppose -22*s + 20*s = 0, 2*j + 344 = -s. Let b = j - -279. What is the remainder when 206 is divided by b?
99
Suppose 8*c - 11*c + 1063 = 2*p, 2 = -2*p. Let l = 145 + -94. Calculate the remainder when c is divided by l.
49
Let m = -233 + 424. What is the remainder when m is divided by 2806/27 + (1924/(-999) - -2) - 17?
17
Let v(w) = -23*w**2 + 169*w + 7. What is the remainder when v(6) is divided by 30?
13
Let u = 94 + -82. Let c = -43 + 28. What is the remainder when u is divided by (-50)/c + (-2)/6?
0
Suppose -255*i = -257*i + 586. Calculate the remainder when i is divided by 197.
96
Let l(k) = -29*k + 135 + 7*k + 9*k. Suppose -w - 46 = -5*t + 10, -5*w + 8 = -t. What is the remainder when t is divided by l(10)?
2
Suppose n = 3*m - 192, 4*m + 201 = 7*m - 4*n. Let j = 313 + -268. What is the remainder when m is divided by j?
18
Let y(j) = -j**3 - 17*j**2 + 70*j - 73. What is the remainder when y(-25) is divided by 14?
13
Suppose 7*q - 3*q - 468 = 0. Let f = q + -101. Suppose -f*d + 15 = -13*d. Calculate the remainder when 20 is divided by d.
0
Suppose 5*q - 100 = -5*x, -4*q = x - 2*x + 30. What is the remainder when 174 is divided by x?
20
What is the remainder when -1*(11 + (-319)/11) is divided by 2?
0
Suppose 2*x - 208 + 208 = 0. Suppose 5*q + 5*m - 265 = x, 0 = -q - 0*m - 2*m + 53. Calculate the remainder when 175 is divided by q.
16
Let z = -222 - -226. Let i = 46 + z. Let o(k) = k**3 + 8*k**2 - 3*k - 7. What is the remainder when i is divided by o(-8)?
16
Suppose 7*m - 6*m - 4*f = 746, -5*m + 5*f + 3625 = 0. Calculate the remainder when m is divided by 40.
38
Suppose h - 7*h - 414 = 0. Let k = h - -85. Let c(a) = -a + 14. What is the remainder when k is divided by c(8)?
4
Suppose -5*f + 20*y = 17*y - 13, -3*y = f - 17. Calculate the remainder when 116 is divided by 15/((f/(-4))/(-5)).
56
What is the remainder when 7297 is divided by ((-72695)/(-62))/67*(1 - 66/(-14))?
97
Let d = -764 - -760. Let t(p) = 3*p**2 + 6*p + 11. What is the remainder when 115 is divided by t(d)?
10
Let j(a) = -a**2 + 133*a - 3640. What is the remainder when j(94) is divided by 5?
1
Let s = 34 + -16. Suppose -418 - 167 = -52*j + 2899. What is the remainder when j is divided by s?
13
Let l(p) = 2*p**2 + 4*p - 7. Suppose 1 = x - 1, -18 = -2*y - 5*x. Let j be -3 - (-6 - -4) - y. Calculate the remainder when 91 is divided by l(j).
22
Let y = -2937 - -2993. Calculate the remainder when 380 is divided by y.
44
Let g(s) = s**3 + 4*s**2 + 1. Let q be g(-4). Let n be (6 - 3) + -5*q. What is the remainder when ((-396)/54)/(n/18) is divided by 23?
20
Calculate the remainder when 13 is divided by 20*51/85 - 7.
3
Suppose -36 = 2*a - 20*a + 360. What is the remainder when 378 is divided by a?
4
Suppose -72*w + 4336 = -69*w + 1060. Calculate the remainder when w is divided by 44.
36
Suppose 3*z + 4*j = 3356 + 4979, 2*z - 5562 = -2*j. What is the remainder when z is divided by 67?
42
Let f(m) = -13*m**2 + 13 + 19*m**3 - 17*m**3 - 24 + 10*m. Calculate the remainder when 56 is divided by f(6).
4
Suppose 5*s + 9 = -2*w, 0*w + 9 = 3*w. Let v(c) = -2*c**2 + c + 16. Let r be v(s). Let m(t) = -2*t + 9. Calculate the remainder when 74 is divided by m(r).
17
Let s(c) = -43*c + 72*c + 19*c + 14 + 129*c + 61*c. Calculate the remainder when s(1) is divided by 26.
18
Let g = 29561 - 28916. Calculate the remainder when g is divided by 12.
9
Let n = -698 + 788. Calculate the remainder when 488 is divided by n.
38
What is the remainder when -2 + 14 - (-2734 + -17) is divided by 278?
261
Suppose -2*v + 413 = 5*v. Let j = v + -45. Let b(p) = -p**3 + 4*p**2 + 2*p. Calculate the remainder when j is divided by b(4).
6
Calculate the remainder when 163 is divided by (-95 - 1)*(13 + (-123)/9).
35
Suppose 0 = 3*m - 2 + 5, 0 = 3*s + 5*m + 53. Let t = s + 30. What is the remainder when t is divided by (4 - 4/(-2))*(-6)/(-4)?
5
Suppose 2664 = 10*z + 8*z. Calculate the remainder when 27 is divided by (-3)/18 - z/(-24).
3
Let j(h) = -3*h**2 - 14*h**2 + 26*h - 514 + 501 - h**3. What is the remainder when j(-19) is divided by 7?
5
Suppose -10*h - 48 = -2*h. Let a(j) = -16*j - 16. Calculate the remainder when a(h) is divided by 32.
16
Suppose -245*f + 242*f = -834. Let l = f + -262. Calculate the remainder when l is divided by 6.
4
Suppose 18*x - 13*x + 15 = 0. What is the remainder when 27 is divided by 1*(2 - (-5 - x))?
3
Suppose 0 = -u + f + 4*f + 154, -2*u - 3*f + 256 = 0. Calculate the remainder when u is divided by 234/20 - (822/3425)/((-4)/5).
2
Let h be 4 - (12/21 - (-495)/(-21)). What is the remainder when 70 is divided by ((-90)/h)/(6/(-54))?
10
Suppose -x + 71 = -5*z + 633, 2*x - 345 = -3*z. What is the remainder when z is divided by 35?
8
Let y = 7 - -5. Suppose -5 = 2*r + k - 11, r = 3*k - 4. Calculate the remainder when (-8)/y - (-40)/6 is divided by r.
0
Let o be 108/10 - (34/5 - 7). Suppose -77 = -o*w + 517. Suppose -w = 3*j - 117. What is the remainder when 41 is divided by j?
20
Let a = -1034 - -983. Suppose b - 25 - 129 = -3*j, 626 = 4*b + 2*j. Let d = a + b. Calculate the remainder when d is divided by 27.
25
Let s = 41 + -38. Suppose 0 = -3*x - 5*m + 53, 2*x - 41*m - 27 = -36*m. Calculate the remainder when x is divided by s.
1
Suppose -5 = -5*a, 0 = 9*z + 3*a - 9796 - 2609. Calculate the remainder when z is divided by 36.
10
Let c(s) = -s**3 + 17*s**2 + 868*s + 447. Let p = -2 + 48. What is the remainder when c(-22) is divided by p?
43
Suppose -2*m - 4*q = -3*m + 346, 5*m - 2*q - 1640 = 0. What is the remainder when m is divided by 79?
10
Let k(i) = -61*i**2 + 149*i**2 - 5 - 71*i**2 + 29*i + i**3. What is the remainder when 13 is divided by k(-15)?
3
Let n(t) = -t + 20. Let d = 74 + -67. Let p(s) = -35*s - 3. What is the remainder when p(-3) is divided by n(d)?
11
Suppose 3*z = 5*z - 62. Calculate the remainder when z is divided by 33 + -1 - (66 - (-1320)/(-24)).
10
Suppose 5*b - 320 = 5*x, -64*b + 3*x - 158 = -66*b. Calculate the remainder when 995 is divided by b.
15
Let p(x) = x + 25. Let i be p(0). Let n = 49 - i. Calculate the remainder when n is divided by (1 + 0)*((32 - 3) + -16).