remainder when 1038 is divided by k(-3).
8
Calculate the remainder when 117 is divided by (126/(-15) + 5)*(13 + -23).
15
Suppose 7887 = -7*q + 4*q. Let w = q + 4592. Suppose -4*z - 316 = 5*x - w, 4*x = -4*z + 1320. What is the remainder when x is divided by 55?
52
Suppose 2637*m = 5295*m - 2626*m - 2592. Suppose -2*l + 59 = -5*r, 0 = 4*l + r + 4*r - 193. What is the remainder when m is divided by l?
39
Let y(x) = -x**2 - 9*x + 14. Let o be y(-10). Let w be o/(-2)*36 + 2. Let m = -21 - w. What is the remainder when m is divided by 17?
15
Let k be (-14)/(-5 - -1*(0 + 3)). Let x = 17 + 6. Calculate the remainder when x is divided by 2 + k - (4 - 4).
5
Let q(n) = 54*n**2 + 139. Calculate the remainder when q(12) is divided by 107.
104
Suppose -3 = -n + 5*j, -18*n + 20*n - 7*j = 15. Calculate the remainder when 1901 is divided by n.
11
Suppose s - 62 = -9. Let t(q) = 4*q**2 + q - 54. Calculate the remainder when t(8) is divided by s.
51
Suppose 40*g = 31*g + 5319. Suppose 5*b = -0*p + 4*p - 495, g = 5*p + 3*b. What is the remainder when p is divided by 61?
59
Suppose -11*l + 2*l + 54 = 0. Suppose 216 = 3*f + l*f. What is the remainder when 141 is divided by f?
21
Let x = -26303 + 26422. What is the remainder when x is divided by 53?
13
Suppose 2*u + 88 = 3*h, 84 = 2*h + 60*u - 55*u. Calculate the remainder when 2461 is divided by h.
29
Let k = 218 - 157. Suppose k*q - 176 = 60*q. Calculate the remainder when q is divided by 45.
41
What is the remainder when ((-401)/(-3))/(665/(-57) + 12) is divided by 65?
11
Suppose -52*g + 38*g + 336 = 0. What is the remainder when 31 is divided by g?
7
Let f be 224 + -18 - 4/(-2). Calculate the remainder when f + (-4 + 20)/4 is divided by 27.
23
Let c(g) = 7*g + 16. Let q(k) = k**2 - k - 1. Let f be (0 + 2 + -3)/(1 + -2). Let o(z) = f*q(z) + c(z). What is the remainder when o(-6) is divided by 3?
0
Suppose 16 = -3*d - 0*m - 5*m, -4*d + 5*m = -37. Suppose -d*t - n = -6 - 95, 3*t = 4*n + 121. What is the remainder when 106 is divided by t?
1
Suppose 55 = 2*b + 7. Let d(z) = 7*z - 113. Let p(s) = -s**2 - 8*s - 1. Calculate the remainder when d(b) is divided by p(-5).
13
Let q = -8547 + 8550. What is the remainder when 193 is divided by q?
1
Suppose 0 = f - 5*v - 11203, 10*v = 2*f + 8*v - 22414. Calculate the remainder when f is divided by 37.
34
Let t be 36/(-84) - 398/(-14). Suppose -x = 3*m - 34, 2*x = -3*m + t + 28. What is the remainder when 39 is divided by x?
17
Let n(q) = 30*q**2 - q. Let b be n(-1). Suppose -s = o - 0*s - b, -125 = -4*o - 5*s. Calculate the remainder when o is divided by -1*(-10 + -1)*1.
8
Let y(d) = -d**2 - 13*d - 28. Let s be y(-17). Let b = s - -95. Calculate the remainder when 142 is divided by (-5 + 0 - -34) + 1 + b.
26
Let u = 8 - 15. Let g(q) = q**2 - 8*q - 3. Let b be g(u). Let l = 176 - b. Calculate the remainder when l is divided by 21.
11
Let g(j) = 4*j + 47. Let w(n) = -n - 4 + 1 - 1 - 8. Let r(x) = -4*g(x) - 18*w(x). Calculate the remainder when 16 is divided by r(-11).
4
Let h(b) = b**2 - 68*b + 865. What is the remainder when h(59) is divided by 26?
22
Let f be (-1 - -2) + -1 + 2. Suppose 4*v - 2*h = 32, 28 - 3 = 5*v + 5*h. Suppose 0 = f*d - v*d + 300. What is the remainder when d is divided by 21?
18
Suppose -4*s + 3*s = -249. Let o = 16179 + -16129. What is the remainder when s is divided by o?
49
What is the remainder when 1162 is divided by 89 - (980/(-161) - (-6)/69)?
22
Let r be (2/(-3))/(32/528). What is the remainder when (2/r - (-1134)/308)*54 is divided by 33?
24
Suppose -313*l + 10217 = -292*l + 3035. Calculate the remainder when l is divided by 171.
0
Let i(l) = -4*l - 13. What is the remainder when i(-14) is divided by -5 + (2/4 - (-1488)/96)?
10
Suppose -121 = -7*u + 54. Suppose -12775 - 1231 = -129*x + 11149. What is the remainder when x is divided by u?
20
Suppose -2*j - 3*f + 23 = 0, 0 = -5*j - 5*f - 24 + 69. Suppose -3*t - j*k = 15, -8 = t + 4*t + k. Calculate the remainder when 39 is divided by ((-35)/5)/(t/2).
11
Suppose 2*b = t + 100, -13 = -2*b - 4*t + 87. Calculate the remainder when b is divided by 24.
2
Suppose -649*c + 676*c = 171261. What is the remainder when c is divided by 122?
121
Calculate the remainder when ((1 + 59)*(-16)/(-320)*72)/2 is divided by 30.
18
What is the remainder when ((-102)/(-72)*44)/(32/(-12) - -3) is divided by 67?
53
Let n = -416 - -182. Let j = n - -287. Suppose -4*h + 3*q = -75, 0 = -5*h + 3*h - 2*q + 34. What is the remainder when j is divided by h?
17
Let p be 63 + -5 - (-16)/(-4). Suppose i - p = -2*v - 4, v - i - 22 = 0. Let u(t) = -47*t + 1. Calculate the remainder when u(-3) is divided by v.
22
Suppose -4*w - u + 12 = 0, 5 = u + 1. Suppose -3*j - 3 = -5*x, -j + 18 = w*j + 2*x. Let m = 445 - 440. What is the remainder when m is divided by j?
1
Suppose 0 = 2*b - 18154 + 17056. What is the remainder when b is divided by 94?
79
Let g = 13349 + -13232. Calculate the remainder when g is divided by 13.
0
Let a(n) = 2*n**3 + 20*n**2 - 25*n - 9. Let i = 131 + -81. Calculate the remainder when i is divided by a(-11).
2
Suppose -640 - 3420 = -203*m. What is the remainder when 6617 is divided by m?
17
Let l(u) = -u**3 + 42*u**2 + 137*u + 34. Calculate the remainder when 243 is divided by l(45).
119
Suppose -5*a = -g - 311, 0 = 4*g - 19 + 3. Calculate the remainder when 411 is divided by a.
33
Let l(a) = 263*a**3 - 7*a**2 + 11*a + 3. Let s(d) = 131*d**3 - 4*d**2 + 6*d + 2. Let q(h) = 4*l(h) - 7*s(h). What is the remainder when q(1) is divided by 20?
15
What is the remainder when (-14779870)/(-12649) + (-12)/26 is divided by 146?
0
Let h(k) = 133*k**2 + 1. Let g be h(1). Suppose 2*t - g = 48. Calculate the remainder when t is divided by -1*(5/4 - (-18 + 2010/40)).
29
Let u = 3 - -65. Suppose u = -6*m + 206. Let v(h) = h**3 - 6*h**2 + 8*h - 4. What is the remainder when v(6) is divided by m?
21
Let k = 109 + -114. Let z(a) = a**2 - 3. What is the remainder when 55 is divided by z(k)?
11
Suppose -g + 140 = h, 19*g = -2*h + 24*g + 287. Calculate the remainder when h is divided by 127.
14
Suppose z = 3*q - 31, -7*z + 19 = 3*q - 5*z. Calculate the remainder when (699/q)/(7/21) is divided by 59.
56
Let u = 9 + 11. Suppose 0 = 24*f - 41*f - 5967. Let t = 361 + f. What is the remainder when u is divided by t?
0
Let f(w) = w**2 - 4*w + 4. Let v(p) = -25*p + 5. Let q(k) = 1. Let o(y) = 5*q(y) - v(y). Calculate the remainder when o(1) is divided by f(5).
7
Let w(i) = i**3 + 13*i**2 - 45*i - 385. Calculate the remainder when 4408 is divided by w(-14).
47
Let v(z) = z**2 - 81. Let p be v(11). Suppose -14*l + 128 = -p. Let r = -23 + 45. What is the remainder when r is divided by l?
10
Suppose 26*p - 54*p + 44492 = 0. Calculate the remainder when p is divided by 44.
5
Let g(q) = 34*q**2 - 73*q + 145. What is the remainder when 807 is divided by g(2)?
132
Suppose 4*d + 5*n - 20 = 2*d, d = 4*n - 16. Calculate the remainder when 38 is divided by 3/1 + d + (-2 - -2).
2
Let y(h) = 25*h + 2433. Calculate the remainder when 443 is divided by y(-80).
10
Let n(y) = 3*y**3 - 16*y**2 - 25*y + 42. What is the remainder when 435 is divided by n(7)?
99
Suppose 4*d + 3*q = 5347, 0 = 5*d - 4*q + 2893 - 9569. Calculate the remainder when d is divided by 13.
10
Suppose 5*f - 3 = -183. Let l = -34 - f. Suppose l*b + 4*k + 92 = 6*b, 3*k = 4*b - 90. Calculate the remainder when b is divided by 11.
10
Suppose -4*g + 15 + 1 = 0. Suppose -2*x = -g*o + o - 124, -67 = -x - o. Calculate the remainder when 324 is divided by x.
64
Let g be 384/(-64)*2/(-6). Suppose -3*w - y = -1442, -5*y - 1412 = -w - g*w. Calculate the remainder when w is divided by 30.
29
Suppose 26*c + 5*x - 9179 = 22*c, 2*c = -3*x + 4593. Calculate the remainder when c is divided by 568.
14
Let n be 3/((-54)/(-291)) - 3/18. Suppose 3*x - 67 = -w, -n - 60 = -4*x - 4*w. Calculate the remainder when 102 is divided by x.
6
Let y(h) = -201*h + 678. Suppose -3*g + 3*w = -6, 3*w + 0 = 2*g - 3. Let u(c) = 5*c + 4. Calculate the remainder when y(3) is divided by u(g).
18
Suppose -5*p + 694 = -2331. Let m = -597 + p. Calculate the remainder when 71 is divided by m.
7
Let n be (1020/(-153))/((-2)/27). Suppose -8 = -4*k, -3*r - 2*k = -n - 7. What is the remainder when -1 - 2 - (-124 + -1) is divided by r?
29
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