 = 42*d + 10*d - l. What is the remainder when d is divided by 11?
7
Suppose 33*p - 35*p + 2 = 0. Suppose 4*f = -3*s + 73, 5*f + 80*s - 84*s = 130. What is the remainder when f is divided by p?
0
Let n = 136 + -130. Suppose 0 = 12*x - n*x - 186. What is the remainder when 90 is divided by x?
28
Let m be (-870)/(-12) - (-6)/4. Suppose 19*z + 2310 = -16*z. Let r = m + z. What is the remainder when r is divided by 8?
0
Let q = -98 + 114. Let s = 44 - -22. Let a = s + -59. Calculate the remainder when q is divided by a.
2
Suppose -6*w - 4*b + 454 = 0, 6360*w - 6357*w - 3*b - 207 = 0. Let c = -105 - -148. Calculate the remainder when w is divided by c.
30
Let q = 1123 - 26. What is the remainder when q is divided by 20?
17
Suppose -2*i + 66 = 8*z, 19*i - 3*z = 16*i - 6. What is the remainder when 3233 is divided by i?
3
Let k(x) = -15*x - 7. Calculate the remainder when k(-7) is divided by (-420)/(-21) + -7 - 10.
2
Suppose 13484 = -34*q - 0*q + 101578. Calculate the remainder when q is divided by 200.
191
Let f(n) = -8*n + 197. Let b = 4 + 16. Calculate the remainder when f(20) is divided by 8/b*(-50)/(-1).
17
Let u be 1*654/(-12)*-2. Let a = 126 - u. Calculate the remainder when 49 is divided by a.
15
Let h(y) = y**3 + 18*y**2 - 12*y - 23. Let w be h(-18). Let m = 197 - w. What is the remainder when 43 is divided by m?
3
Let z = 7466 - 6921. What is the remainder when z is divided by 83?
47
Let x = -34 - -46. Suppose 0 = 16*c - x*c - 56. Let d = 29 - c. What is the remainder when 57 is divided by d?
12
Suppose 0 = 3*o - 3*n - 668 - 19, 0 = -o + 5*n + 209. What is the remainder when 2105 is divided by o?
233
Let h = 6324 - 6305. What is the remainder when 185 is divided by h?
14
Let i be (-8 + -19)/9 - -2*23. Suppose i*r = 3*r + 560. Calculate the remainder when (-27 - (-1 + 1))*-3 is divided by r.
11
Calculate the remainder when (189/315)/((-12)/(-23080)) is divided by 34.
32
Suppose -2*l = l + 81. Let o be (l/(-12))/(7/(-28)). Calculate the remainder when o - -6 - (-51)/(2 + 1) is divided by 10.
4
Suppose k - 133 = -5*s + 76, 800 = 4*k + 2*s. Calculate the remainder when k is divided by 39.
4
Let n(q) = 467*q - 2571. What is the remainder when n(6) is divided by 78?
75
Suppose -3*i = b - 226, -b + 2*i + 221 = 4*i. Let p = -205 + b. Calculate the remainder when 10 is divided by p.
4
Suppose 0 = -v + 38 + 48. Let j be -29 - -32 - (0 + 1). Suppose j*d + 4*b = -0*d + v, -172 = -4*d - 2*b. Calculate the remainder when d is divided by 9.
7
Suppose 824636 = 289*o - 627011. Calculate the remainder when o is divided by 15.
13
Let x = -136 - -138. Suppose x*q + 0*q - 72 = 0. Calculate the remainder when 107 is divided by q.
35
Let k(q) = 6*q**2 - 54*q + 6. Calculate the remainder when 42 is divided by k(9).
0
Suppose 205*g + 11395 = 420*g. What is the remainder when 144 is divided by g?
38
Let l be ((-2)/6)/((-3)/36). Suppose 5*m + 155 = 5*x - 0*m, l*x + m - 114 = 0. Calculate the remainder when (4/(-8))/(2/(-224)) is divided by x.
27
Suppose -9*p - 63 = -2*r - 4*p, -4*r + 5*p = -111. Suppose 5*j - 331 = r. What is the remainder when j is divided by 25?
21
Suppose -q = -3*q + d + 75, 0 = -4*q - 5*d + 129. Let m(a) = 4*a**2 - 5*a - 213. What is the remainder when q is divided by m(8)?
0
Let v = 183 - 171. What is the remainder when 120 is divided by 214/v - (-9)/54?
12
Let l(o) = -5*o - 161. Let k(f) = f + 32. Let b(c) = 11*k(c) + 2*l(c). Calculate the remainder when 107 is divided by b(6).
35
Let j = -205 - -282. Calculate the remainder when 363 is divided by j.
55
Calculate the remainder when 2176 is divided by 3 - 14 - 1*-35.
16
Suppose 1 = -2*o + 2*k + 11, -5*k - 20 = 0. Let m be (4/(-3))/(o*3/18). What is the remainder when -26*(4 + m - -2) is divided by 11?
8
Suppose -65*l = -69*l - 3*i + 161, l - 69 = 5*i. Let j = 8 + 162. Calculate the remainder when j is divided by l.
38
Let o = 79 - 81. Let u = 11 - o. What is the remainder when (2 + 12)*(-12 + u) is divided by 5?
4
Let h = 151 + -146. Suppose 5*x = 7*x - 2*i - 36, h*x - 122 = -3*i. Let v = 21 + 43. Calculate the remainder when v is divided by x.
20
Let t = -2608 + 3259. What is the remainder when t is divided by 91?
14
Calculate the remainder when ((-791)/(-21) - 2)*(2 + 1) is divided by 94.
13
Suppose 11*j + 67 + 98 = 0. Let s(c) = -5*c - 73. What is the remainder when s(j) is divided by 2?
0
Let q = 776 - 780. Let u(o) = -3*o**3 - 9*o**2 - 3*o - 11. Calculate the remainder when 187 is divided by u(q).
40
Let k = 635 - 637. What is the remainder when 55 is divided by ((-10)/6 - k)/((-3)/(-36))?
3
Suppose 669 = 9*n + 4*n + 435. What is the remainder when 936 is divided by n?
0
Let q = -35 - -560. Suppose 2897*p + 22 = 2898*p. What is the remainder when q is divided by p?
19
Let p = 73 + -69. Suppose 4*d + s = 317, 4*d - 8*d = -p*s - 312. Let c = 97 - d. What is the remainder when c is divided by 12?
6
Let j(q) = 2*q**3 - 20*q**2 - 13*q + 4. Suppose 17 = 5*m - 98. Let a = m - 2. Calculate the remainder when j(11) is divided by a.
19
Suppose 0 = 5*h + 10, -4*z + 288 = -5*h - 686. What is the remainder when z is divided by (2/(-14) - (-200)/(-70))*(-1155)/99?
31
Let t(l) = 15*l**2 - 33*l - 83. Calculate the remainder when t(-2) is divided by 15.
13
Let m(l) = -46*l - 133. Let c be m(-3). Suppose -s - 555 = -c*x + 4*s, 5*s = -4*x + 453. Calculate the remainder when x is divided by 23.
20
Suppose 0 = -2*v - 4*a + 470, 47*v = 53*v - a - 1332. Calculate the remainder when 1804 is divided by v.
20
Let r = 89 - 76. Calculate the remainder when (-2)/(-2)*(49 + r - -5) is divided by 28.
11
Suppose 12 + 4 = -8*k. Let d = 5 + k. What is the remainder when 1383/30 - d/30 is divided by 16?
14
What is the remainder when 752 is divided by (-1)/(-7)*-4 - (-232480)/1120?
131
Let i(l) = -7*l - 87. Let u be 33/(-165) - 84/5. Calculate the remainder when i(u) is divided by 14.
4
Suppose -21*w + 8721 = -66081. What is the remainder when w is divided by 27?
25
Suppose 0 = -209*f + 218*f - 51507. Calculate the remainder when f is divided by 9.
8
Suppose -5*g = -3*g + 5*w + 8, 2*g + 3*w = 0. Let v(h) = -6*h + 910 - 882 + 4*h. Calculate the remainder when v(4) is divided by g.
2
Suppose -390 = -4*s + 342. Suppose -3*d = 15 - s. Suppose r + 104 = 6*r + x, -2*r - 5*x + 60 = 0. Calculate the remainder when d is divided by r.
16
Let i = 103 - 95. Suppose -c - 3*v + 21 = -i*v, -v = -c + 9. What is the remainder when 112 is divided by c?
4
Calculate the remainder when ((-49)/28 - -1)/(6/(-5048)) is divided by 127.
123
Let g = 14217 - 14167. Let y(l) = -5*l - 11. Let r be y(-10). What is the remainder when (r/(-3))/((-1)/19) is divided by g?
47
Let m(q) = 2*q**3 - 4*q**2 - 7*q + 8. What is the remainder when 1717 is divided by m(5)?
118
Suppose -147*g = -155*g + 312. Calculate the remainder when g is divided by 14.
11
Let m be (-6)/4*174/(-9). Let n = m - 25. Suppose -3*k + 66 = -2*d, d = -2*k - n*d + 25. What is the remainder when 137 is divided by k?
17
Let y = 1 + 23. Suppose 9*q = 1958 + 1903. What is the remainder when q is divided by y?
21
Let w = 16 - 10. Let u(y) = 152. Let i(o) = o + 2. Let g(d) = -5*i(d) - u(d). Calculate the remainder when g(-34) is divided by w.
2
Suppose 8*z = -19 + 59. Suppose 2*h + 34 = 4*d + 4*h, z*d - 42 = -2*h. Calculate the remainder when ((-10)/3 - 1)/(5/(-45)) is divided by d.
7
Let k(f) = -10*f**3 + f**2 + f + 43. Let t be k(0). Let u = 67 + -27. Suppose u*q = t*q - 66. Calculate the remainder when 64 is divided by q.
20
Let s(n) = 3*n - 14. Let v be s(7). Suppose v*q - 3*q = -828. Calculate the remainder when (-8)/20 - q/5 is divided by 9.
5
Suppose 1288*m + 1205 = z + 1290*m, 0 = 3*m + 21. What is the remainder when z is divided by 72?
67
Let j = 6972 + -6944. Calculate the remainder when 350 is divided by j.
14
Suppose -4*s = -5*m + 537, -1298*s = -1303*s - 15. What is the remainder when m is divided by 40?
25
Suppose 3*v - 5*a + 193 = 1554, -v + 477 = 3*a. What is the remainder when v is divided by 194?
74
Let f(r) = -7*r - 2. What is the remainder when 216/(-9) + (-6656)/(-64) is divided by f(-5)?
14
Suppose 37*l = 24*l + 14729. Calculate the remainder when l is divided by 71.
68
Let a(t) = t**3 + 10*t**2 - 27*t - 11. Suppose 50*i - 47*i + 36 = 0. Calculate the remainder when a(i) 