9, -3*s + 5*n = -3 - 1. Suppose 116 = s*j + 3*f + 2*f, 80 = 2*j + 2*f. Calculate the remainder when a is divided by j.
39
Suppose -a = 2*j - 0*j + 40, 4*a - 3*j = -138. Let f be a/24 - (-275)/2. Suppose 2*i - f = -2*i. Calculate the remainder when i is divided by 8.
2
Let l(p) = 53*p - 112. Let h be l(6). Suppose -3*s + 2*d - h + 867 = 0, -2*s + d = -439. Calculate the remainder when s is divided by 20.
17
Let z = -10598 + 11229. Calculate the remainder when z is divided by 160.
151
Suppose -2*d + 9 = -11. Suppose -j = 2*m - 5, 3*j - 4*j - 3*m + 5 = 0. Suppose 6 = 6*b - j*b. What is the remainder when d is divided by b?
4
Let t = 233 - 228. What is the remainder when (5 + 292)*2/(30/t) is divided by 35?
29
Let s be ((-8)/2)/(-7*(-8)/336). Let b = -7 - s. Suppose 3*g - 193 = -3*c + 5*g, 0 = 5*c - g - 324. Calculate the remainder when c is divided by b.
14
Let r = 2267 + -1523. What is the remainder when r is divided by 125?
119
Suppose -22 = 2*m - 64. Suppose -400*w + 12676 + 25724 = 0. What is the remainder when w is divided by m?
12
Let r be 1/(-1 - -2) - (-177 + 1). Suppose -5*s + 2*s = -r. Calculate the remainder when s is divided by (48/18)/((-2)/(-15)).
19
What is the remainder when 266 is divided by (6/(-4) + 1)*(-183 - -115)?
28
What is the remainder when 375 is divided by (-260)/(-36) + -7 - (0 - 140/18)?
7
Suppose -5*o + 2*o = 0. Let f(r) be the first derivative of r**4/2 - r**2/2 + 17*r + 172. What is the remainder when f(o) is divided by 10?
7
Suppose 4*x + 39 = 5*x. Calculate the remainder when 1 - -37 - (1 + -2) is divided by (-85)/(-4) - x/156.
18
Let v(d) = 14*d - 2. Let z(r) = -r**3 + 11*r**2 + 18*r - 5. Let t be z(12). Let f = t - 66. Calculate the remainder when 22 is divided by v(f).
10
Let l = -672 + 677. Let t(s) = 4*s + 12 + 5 + 0. Calculate the remainder when 145 is divided by t(l).
34
Let n(k) = 66*k**2 + 35*k + 37. Calculate the remainder when 341 is divided by n(-1).
1
Suppose -c + 413 = 418, -5*m - 3*c + 715 = 0. What is the remainder when m is divided by 6?
2
Let i be 17 - 21 - (-5 - 2). Suppose -i*t + t + 78 = 0. Let l = t - 3. What is the remainder when 139 is divided by l?
31
Suppose 0 = 5*k - 4*r - 36, 2*k + 4*r = -0*k - 8. Suppose 0 = k*h - 86 - 6. What is the remainder when 58 is divided by h?
12
Suppose 42*o = -26*o + 29035 + 25909. What is the remainder when o is divided by 54?
52
Suppose -4*s + 2969 = 849. What is the remainder when s is divided by 220?
90
Suppose 0 = -8*f + 24 + 176. Suppose 0 = 5*c - 287 - 328. Calculate the remainder when c is divided by f.
23
Let f(x) = 16*x + 161. Calculate the remainder when 2411 is divided by f(-9).
14
Suppose 5*x - 95 = -2*n, 4*n - 268 + 103 = -5*x. Let z = -3862 - -3929. What is the remainder when z is divided by n?
32
Let r = 919 + -545. Let q = -345 + r. Calculate the remainder when 79 is divided by q.
21
Suppose -102 = -w + 4*c, -4*c = -11*w + 14*w - 290. Let x = 88 - 39. What is the remainder when w is divided by x?
0
Let c = -19 + 10. Calculate the remainder when -1 + c/(-12) + (-3012)/(-16) is divided by 19.
17
Let w be ((-9)/36)/((-2)/40). Suppose -w*n + 73 = 3. Suppose -p + 4 = -35. Calculate the remainder when p is divided by n.
11
Let h be (-21)/15*12/7*-5. What is the remainder when 1*42 + -15 + h is divided by 21?
18
Suppose -17*y = 5*y - 5*y - 2261. What is the remainder when 3721 is divided by y?
130
Let w = -64 + 62. Let i(k) = 29*k - 15. Let f be i(w). Let d = -56 - f. What is the remainder when d is divided by 7?
3
Let d(o) = -21*o + 160. What is the remainder when 7109 is divided by d(7)?
11
Let n = -1337 - -2317. What is the remainder when n is divided by 115?
60
Let w = -162 - -89. Let r = w + 93. Calculate the remainder when 83 is divided by r.
3
Let g(q) = -q**3 - 23*q**2 + 20*q - 65. Let v be g(-24). Suppose -27*s + v*s = 304. What is the remainder when s is divided by 46?
30
Let t be -2 + (-5 - -37) - -1*1. Let s = t - 12. Suppose -4*p + 42 = 2*l + l, -3*p + s = l. What is the remainder when 38 is divided by l?
8
Suppose -120 = -5*o + 210. What is the remainder when o is divided by 5?
1
Let r(s) = -188*s + 3764. What is the remainder when r(-37) is divided by 28?
24
Suppose -3*k = -4*p + 708, -190 = 5*k + 3*p + 961. What is the remainder when 163 is divided by (-27)/(-12)*k/(-6)?
76
Calculate the remainder when ((-9150)/(-100))/(7/(56/6)) is divided by 18.
14
Let l = 37 + 25. Let t = l + -29. What is the remainder when 128 is divided by t?
29
Let l = 15181 - 15069. What is the remainder when 598 is divided by l?
38
What is the remainder when 6255 is divided by ((-86)/(-6))/(88/264) - (-2)/(-2)?
39
What is the remainder when (1/3*14893)/(7 - 41/6) is divided by 22?
20
Let t = 7122 + -6951. What is the remainder when t is divided by 1?
0
Let w be (-144)/(-384) + 3/(24/1141). What is the remainder when (584661/w)/3 - (-2)/13 is divided by 105?
103
Let d(k) = 30*k + 179. Calculate the remainder when 205 is divided by d(-5).
2
Let w(v) = v**3 - 7*v**2 - 6*v - 8. Let f be w(8). Calculate the remainder when -2 + 35 - f/(-2) is divided by 27.
10
Suppose -54 = -39*y + 21*y. Suppose 2*q = -q + 72. Calculate the remainder when (9/(-12))/(y/(-376)) is divided by q.
22
Calculate the remainder when (1/(-3))/(1/(-333)) is divided by -1*7*((-22632)/(-287))/(-23).
15
Let i(n) = -2*n**3 + 47*n**2 - 21*n - 22. Suppose 6*w - 17*w = -1001. What is the remainder when w is divided by i(23)?
19
Suppose -20*t + 7106 = 2*t. Calculate the remainder when t is divided by 114.
95
Suppose 3*v - 69*v = -v - 71370. What is the remainder when 2202 is divided by v?
6
Let x(j) = -217*j + 144. What is the remainder when 1436 is divided by x(0)?
140
Let v be (-123)/(-12) + 45/(-36). Suppose 0 = v*l - 10*l - k + 27, 5*l - k = 141. What is the remainder when 57 is divided by l?
1
Let h be ((-6)/(-4))/((-9)/156). Let t(f) = 5*f**3 + f. Let m be t(-2). Let r = h - m. What is the remainder when 62 is divided by r?
14
Suppose 0 = 5*l + 10*z - 470, 3*z = 5*l - 431 - 52. Calculate the remainder when l is divided by 24.
0
Let d = 315 + -309. What is the remainder when 32 + -28 - -14*d is divided by 50?
38
Let i be 2 + (2 - (-2 - 0)/1). Let u be -1*3*((-28)/i + 4). Suppose -89 = o - u*o. Calculate the remainder when o is divided by 23.
20
Suppose 2*j + 4*c - 12 = 0, 0 = -67*j + 72*j - 5*c. Suppose -4*w = j*n - 88, 42 + 46 = 3*n - 5*w. What is the remainder when n is divided by 15?
6
Suppose 4*s - 113 + 123 = w, -82 = -4*w - 5*s. Suppose -w*x = -39*x + 4578. What is the remainder when x is divided by 22?
20
Let a = -6472 + 8794. Calculate the remainder when a is divided by 31.
28
Suppose -3*j + 2*c + 84 = 0, -4*j - 20 + 132 = -5*c. Let b = 258 + -402. What is the remainder when j is divided by (2/(-3))/1 + (-960)/b?
4
Suppose -4*s - 335 = -9*s. Let c = 94 - s. Let j = -32305 - -32324. What is the remainder when c is divided by j?
8
Suppose 2*o + 254 - 294 = 0. Suppose 141*y + 548 = 143*y. What is the remainder when y is divided by o?
14
Suppose 7*o + 670 = 642. What is the remainder when 175 is divided by (-3)/o + 6 + (-363)/(-12)?
27
Let r(j) = 8*j - 268. Calculate the remainder when 636 is divided by r(36).
16
Suppose -q - 1 = 0, -1467 = 49*c - 54*c + 2*q. Calculate the remainder when c is divided by 152.
141
Suppose 3595 = 117*m - 79*m - 15. Calculate the remainder when 302 is divided by m.
17
Let x = -2716 - -2796. Let r(q) = -2*q + 4. Let a be r(9). Let w = a - -41. What is the remainder when x is divided by w?
26
Suppose 9*c + 380 - 1676 = 0. What is the remainder when 426 is divided by c?
138
Let q be (-3)/((-9)/(-2)) - 2/(-3). Suppose 2315*n - 2311*n - 808 = q. Let x(r) = -6*r + 4. What is the remainder when n is divided by x(-5)?
32
Let u(i) = 4*i + 6. Let m(c) = c**3 - 16*c**2 - 187*c + 3055. Calculate the remainder when m(15) is divided by u(3).
7
Let t(h) = -3*h**2 - 2*h + 37. Let s(d) = d**2 - 7*d + 1. Let a be s(3). Let c = a - -21. Calculate the remainder when t(0) is divided by c.
7
Let k(t) = t**3 - 19*t**2 - 80. Let q be k(21). Suppose -21*m + q = -1508. Calculate the remainder when 323 is divided by m.
103
Suppose -3*b + 2*z = -100, 2*z + 105 = 3*b - z. What is the remainder when ((-822)/(-4))/(b/20)*1 is divided by 35?
32
Let w(l) = -72*l. Let n be w(-1). Let z = 1