 = -74 - -669. Let i = l + -355. What is the remainder when i is divided by 61?
57
Let k = 30 + 52. Let j = k - 82. Suppose -417 = -4*n + 5*c, j*n = -2*n + 2*c + 208. Calculate the remainder when n is divided by 15.
13
Suppose -35*g + 768 = 5*g - 1432. What is the remainder when 16938 is divided by g?
53
Let k be (-564)/(-66) - 24/44. Calculate the remainder when ((-25)/(-5) + -1)*k - -1 is divided by 9.
6
Let g(a) = 7*a - 27. Let u be g(11). Let h = u + -46. Suppose -3*q + 183 = -h*b + b, 122 = 2*q - 3*b. Calculate the remainder when q is divided by 9.
7
Let z be 3/(-4)*96/(-36). Let a(t) = -13*t - 31 + t**z + t + 6*t. Calculate the remainder when a(12) is divided by 4.
1
Let j(i) = -19*i - 469. What is the remainder when 7798 is divided by j(-31)?
118
Let k(p) = 4*p**2 + 7*p + 2. Suppose 6*c + 4*c = -430. Let r = c - -62. What is the remainder when k(6) is divided by r?
17
Let a = 25161 - 24190. Calculate the remainder when 2968 is divided by a.
55
Suppose -h - 5*a + 58 = 0, -12*a = h - 8*a - 54. Calculate the remainder when 66 is divided by h.
28
Let v = -6154 + 16999. Calculate the remainder when v is divided by 16.
13
Let k = 762 - 616. Calculate the remainder when 1895 is divided by k.
143
Suppose 4*x = -3*t + 49 + 27, -4*t = 3*x - 64. Suppose x*j + 6 = 19*j. What is the remainder when (4/3)/(5*8/60) is divided by j?
0
Let q(t) = t**3 + 65*t**2 - 1312*t - 9. Calculate the remainder when q(-81) is divided by 43.
40
Suppose k = 2*j - 36 - 11, -3*k = 5*j + 185. Let n = 182 + k. What is the remainder when n is divided by 44?
39
Suppose 0 = -5*n - 4*j - 4915 + 18202, 4*n = -5*j + 10635. Calculate the remainder when n is divided by 16.
15
Suppose -4*r = v - 192, -r + 409 = 2*v + 2*r. Suppose -2*a + 4*s = -40, 31*s - 27*s = -4. What is the remainder when (-1)/(2*(-2)/v) is divided by a?
17
Let x = 4925 + -4072. What is the remainder when x is divided by 98?
69
Suppose 0 = -10*d + 17 - 7. Calculate the remainder when d - 3 - (-121 + 1) is divided by 7.
6
Let l = -17183 + 17048. Suppose 0 = -0*b + 4*b - 1160. Let r = l + b. What is the remainder when r is divided by 39?
38
Suppose -5*o - 4*r = -2389 + 1895, 2*r + 212 = 2*o. What is the remainder when o is divided by 33?
3
Suppose 49*h - 76 = 11*h. What is the remainder when 222/(-24)*-8*h is divided by 53?
42
Suppose -3*k = -4*g + 2582, -3*k + 489 + 164 = g. Calculate the remainder when g is divided by 18.
17
Suppose 860*q = 849*q + 2618. Calculate the remainder when q is divided by 57.
10
Suppose 262*l - 119919 = 41473. What is the remainder when 3094 is divided by l?
14
Let a(u) = -274*u + 2. Suppose 2*h - 33 = -3*m, -5*h - 2*m - 1586 = -1696. Calculate the remainder when a(-2) is divided by h.
22
Let p = 5064 - 4812. Calculate the remainder when p is divided by 55.
32
Suppose -j - 5*w = 3 - 1, 0 = 4*j + 5*w - 112. What is the remainder when 82 is divided by j?
6
Suppose -2051 + 3217 = 22*t. Calculate the remainder when 291 is divided by t.
26
Let g be (-27)/(-3) - (-15 - -12). Suppose -13*n + 14*n = g. What is the remainder when 62 is divided by n?
2
Let y be 1 - ((-2)/1 - -15). Suppose -c + 375 = 2*h, 940 = 5*h - 3*c + 8*c. What is the remainder when h is divided by (-188)/y*(1 - -2)?
46
Suppose -3*s - q = 2*s - 100, -4*s - 2*q = -74. Suppose -40 = -2*m + r, -104 + 19 = -5*m - 5*r. Calculate the remainder when s is divided by m.
2
Suppose 0 = 22*r - 25*r + 66. What is the remainder when 297 is divided by r?
11
Suppose 5*v - 3*h - 433 = -142, 4*v - 3*h - 231 = 0. Calculate the remainder when v is divided by (-24)/(-204) + 1690/85.
0
Let g = 182 - 126. Suppose 54*a = g*a - 90. Calculate the remainder when a is divided by 10.
5
Let y = -956 + 621. Let h = y - -376. Calculate the remainder when h is divided by 22.
19
Let b = 251 + -135. What is the remainder when 1042 is divided by b?
114
Suppose 158*l - 29138 = 156*l + 4*b, -2*l - 4*b + 29170 = 0. Calculate the remainder when l is divided by 243.
240
Let f(r) = -17*r**2 - 132*r - 166. Calculate the remainder when 2164 is divided by f(-6).
8
Suppose -u = -2*m - 31, -16*m = -5*u - 11*m + 180. Suppose -d + 4*d - 111 = 0. Calculate the remainder when d is divided by (u + -33)*33/24.
4
Let r(x) = 13*x - 236. Calculate the remainder when 340 is divided by r(19).
10
Let o = -5058 - -3370. Let w be -3 + 15/3 + -50. Calculate the remainder when 171 is divided by (-1)/6 + o/w.
31
Let g(k) = k**3 - 34*k + 8. Suppose o + 0*v + 13 = v, 4*v - 12 = -o. Let p(l) = -l + 3. What is the remainder when g(6) is divided by p(o)?
9
Let y(x) = -x**3 + 9*x**2 - 7*x - 18. Let i be y(8). Calculate the remainder when (-2 + 0)*51/(-6) is divided by 3 - ((-8)/i)/((-5)/25).
3
Calculate the remainder when 1918 is divided by 16/(2992/18853) - 2/(-11).
100
Let f(l) = l**3 + 5*l**2 - 122*l + 120. Calculate the remainder when f(-13) is divided by 72.
66
Let w = -1436 - -2585. Calculate the remainder when w is divided by 24.
21
Let h = -13696 + 13718. What is the remainder when 28 is divided by h?
6
Suppose 0 = 5*z - 1143 + 53. Suppose 0 = 10*t - z - 12. What is the remainder when 62 is divided by t?
16
Let z(t) = -1564*t + 3353. Calculate the remainder when z(-13) is divided by 63.
60
Let l = -13381 + 13448. Calculate the remainder when 316 is divided by l.
48
Let b = 12 + 506. Let p = b + -481. What is the remainder when 365 is divided by p?
32
Let v(t) = -t**3 + 6*t**2 + 8*t - 1. Suppose 2*z - 2*p - 172 = 0, p = -5*z + z + 329. Let l = 105 - z. What is the remainder when l is divided by v(7)?
4
Let f = 98 + -92. Calculate the remainder when (-4)/f + 4015/33 is divided by 31.
28
Calculate the remainder when ((1 - -148) + -2)/(24/16) is divided by 0 + -2 + 41 + -21 + 25.
12
Let i = 234 - -78. Calculate the remainder when 269 is divided by (-52)/i - 103/(-6).
14
Suppose 38760 - 21010 = 99*m - 51847. Calculate the remainder when m is divided by 666.
37
What is the remainder when 2179 is divided by 455 + (-84)/4 + -11?
64
Let n(f) = 340*f**3 - 24*f**2 + 45*f - 199. Calculate the remainder when n(4) is divided by 80.
77
Let w = 9273 - 9254. Let l(v) = 65*v - 1. What is the remainder when l(7) is divided by w?
17
Suppose -25541 - 10375 = -395*r - 6686. Calculate the remainder when 590 is divided by r.
72
Let p(o) = -13*o**2 - 6*o - 5. Let s be p(-2). Let z = -16 - s. What is the remainder when (-249)/2*6/(-9) is divided by z?
25
Suppose -60*n + 20280 = 5*n. Calculate the remainder when n is divided by 83.
63
Let m = 940 + -565. Calculate the remainder when m is divided by 12.
3
Let d(m) = m**3 + 30*m**2 - 47*m - 345. Calculate the remainder when d(-28) is divided by 22.
9
Suppose 4*v = -3*y + 108, 322*v = y + 321*v - 29. What is the remainder when 197 is divided by y?
5
Suppose 61*i + 69*i = 58500. What is the remainder when i is divided by 78?
60
Suppose 2*d - 13*c = -16*c + 9, -4*c = -4*d + 8. Suppose 3*a - d*q - 405 = 0, -4*a + 570 = 2*q - 0*q. Calculate the remainder when a is divided by 47.
46
Suppose -394*n - 3300 = -494*n. What is the remainder when 256 is divided by n?
25
Let h = 27945 - 27941. Calculate the remainder when 10722 is divided by h.
2
Let u(n) = 514*n + 2981. What is the remainder when u(-4) is divided by 134?
121
Let h(a) = -68*a - 112. Let q be h(-2). What is the remainder when 96 is divided by (87/q - 4) + (-406)/(-16)?
21
Let u(o) = 8*o**3 + o**2 - 2. Let r be u(1). Suppose f + r = 2*w, 0 = -3*f - 5*w + w + 19. What is the remainder when 1 is divided by f?
0
Suppose 2 = 2*o, 827 = 15*g - 11*g - 5*o. Calculate the remainder when g is divided by 27.
19
Suppose -22*x = -6*x - 496. Suppose -d - x = -3*a + 43, -5*d - 4*a - 332 = 0. Let n = d - -121. What is the remainder when n is divided by 14?
11
Calculate the remainder when (-7 - -1)/(210/(-57925)) is divided by 40.
15
Suppose 0 = 38*h - 740 - 610 - 778. Calculate the remainder when 1660 is divided by h.
36
Let l(u) = 148 + 0*u + 11*u - 14*u + 5*u + 19*u. Let f(s) = -28*s + 2. What is the remainder when f(-2) is divided by l(-6)?
14
Let n(v) be the second derivative of -v**5/4 + v**4/6 + v**3/3 + 5*v**2/2 - v - 60. What is the remainder when n(-3) is divided by 31?
28
Let k(a) = 3*a**2 - 91*a + 643. Calculate the remainder when 42 is divided by k(20).
19
Suppose 4*y - 340*r = -345*r + 242, 2*r - 59 = -y. Wha