 the remainder when i is divided by 1.
0
Suppose -5*o + 5*a = 5, -13*o + 3*a = -8*o + 5. Calculate the remainder when 74 is divided by 1 - (50/o)/5.
8
Let b = 2486 - 2445. What is the remainder when 652 is divided by b?
37
Suppose 0 = -5*z - 0 - 90. Let s = z - -53. Calculate the remainder when 7 - ((-4)/(-8)*-8 - -3) - -164 is divided by s.
32
Suppose -21*t + 16*t + 600 = 0. Calculate the remainder when t is divided by (-1 - 249/(-9))*57/38.
0
Suppose 0*g + 30 = g + 2*k, -113 = -4*g - k. Let z = g - 23. Suppose 5*j - 265 = -5*a, 0*a + 4*a - 2*j = 182. Calculate the remainder when a is divided by z.
3
Suppose -7*a = -3*a - 688. Suppose 5*y = 4*x + 298, 0 = 3*y - x + 2*x - a. Calculate the remainder when 228 is divided by y.
54
Let o(z) = -1043*z + 11876. Calculate the remainder when o(11) is divided by 139.
125
Suppose 2*u - 6 + 182 = 0. Let o be (-4)/10 - (u/10)/2. Suppose -80 = -o*s + 2*r, s = 3*s + 2*r - 34. Calculate the remainder when 55 is divided by s.
17
Let c(a) = -a**2 - 597*a - 29156. Calculate the remainder when c(-54) is divided by (-234)/(-4) + 2/(-4).
50
Suppose 0 = -5*c - 20. Let x be 76/6 - c/((-12)/(-1)). Suppose x*f - 70 = 8*f. What is the remainder when 44 is divided by f?
2
What is the remainder when 1144 is divided by (-1175)/(-15)*(-30)/(-25)?
16
Suppose -291 = 33*v - 3*v - 14091. What is the remainder when v is divided by 58?
54
Let d = 25988 + -25835. What is the remainder when 1231 is divided by d?
7
Suppose -32 - 22 = -3*w. Let m = 99 + -90. Calculate the remainder when ((-15)/m)/(3*(-1)/126) is divided by w.
16
Let d = 24786 - 22562. What is the remainder when d is divided by 46?
16
Let q(y) = -2*y**2 - 15*y + 9. Let w be q(-8). Let n(l) = 5*l - 1. Let a be n(w). Suppose 0*d - 268 = -a*d. What is the remainder when d is divided by 17?
16
What is the remainder when ((-98)/(-21))/(42/3852) is divided by 103?
16
Suppose 5*t - 90 - 1745 = 0. Suppose 170 + t = 3*f. Suppose 0 = -2*d + 7 + 29. What is the remainder when f is divided by d?
17
Suppose -5*b - 4*b = -0*b. Suppose -2*m - 3*p + 111 + 16 = b, 3*m = p + 163. What is the remainder when m is divided by 27?
2
Suppose 3*b + 5*w = 993, -w + 1019 - 26 = 3*b. What is the remainder when b is divided by 284?
47
Suppose -j = y - 150, 752 = 12*j - 7*j + 3*y. Calculate the remainder when 409 is divided by j.
107
Let y be (1 + 0)/(2*(-5)/1380). Let c = 179 + y. Calculate the remainder when c is divided by 12.
5
Let t = -33174 - -33200. What is the remainder when 41 - -1 - (-2)/1 is divided by t?
18
Let t be 61 + (-2 - -2 - 3). Suppose 2*b - 4*l - t = 0, 4*b - l - 136 = -b. Suppose 1037*x - 1001*x = 2772. Calculate the remainder when x is divided by b.
23
Let q(p) be the third derivative of p**4/6 + 32*p**3/3 + 11*p**2. What is the remainder when 92 is divided by q(-10)?
20
Suppose 13874 = 3*l + 4*x - 824, -5*l = 2*x - 24492. What is the remainder when l is divided by 140?
138
Let l be ((-95)/(-4))/(77/308). Let v = 173 - l. Calculate the remainder when v is divided by 6*2/4 + 25.
22
Let g(l) = 16*l**2 - l. Let v be g(1). Suppose -v*s + 182 = 17. What is the remainder when s is divided by 2?
1
Let l be (0 - (-1)/2)/(41/(-4756)). Let h be l/6 + (-27)/81. Let a = 23 - h. Calculate the remainder when a is divided by 18.
15
Let k(j) = -18*j - 1051. Calculate the remainder when 289 is divided by k(-66).
15
Let n be (864/64)/((-3)/4). Let b = 53 - n. Suppose h - b = -26. Calculate the remainder when 131 is divided by h.
41
Let g(l) = 89*l + 2369. Calculate the remainder when g(-25) is divided by 83.
61
Suppose -2*p - 5*w + 288 = 0, -w - 228 = -5*p + 546. What is the remainder when 453 is divided by p?
145
Suppose -130 = 2*o - 3*w - 225, 0 = 5*o + 3*w - 185. What is the remainder when 156 is divided by o?
36
Calculate the remainder when ((-615)/9)/5*-3 is divided by 6 + -1 + (-77 - -93).
20
Let x = 11505 + -11252. Let d(b) = -5*b + 3. What is the remainder when x is divided by d(-8)?
38
Let o(l) = 355*l - 2030. What is the remainder when 870 is divided by o(6)?
70
Let v = -5 + 134. Suppose -51 - v = -4*x. What is the remainder when 161 is divided by x?
26
Let k be -73 + ((-2)/10)/((-2)/10). Let d(n) = -n**3 + 2*n**2 - 12*n + 40. Let y be d(5). Let c = k - y. What is the remainder when c is divided by 13?
10
Let k be (-3 - -19)*(-2)/(-8). Suppose -k*r = 8, d - 21 = 5*r + 25. What is the remainder when d is divided by 21/((-2520)/(-16)) - 386/(-30)?
10
Let s = 6 + 41. Suppose 1 + s = 6*n. Let k(f) = -f**2 + 13*f - 7. What is the remainder when 65 is divided by k(n)?
32
Suppose 11*w + 103 = 16*w + 3*l, 3*w - 61 = -l. Suppose w*z - 3800 = 12*z. Calculate the remainder when z is divided by 97.
87
Let g = 9108 - 9109. Let z(s) = s - 23*s**3 + 1 - s. Calculate the remainder when 69 is divided by z(g).
21
Suppose 2*m = -p + 5*p + 326, -m - p + 148 = 0. Suppose -10*k + 3*n + 846 = 0, -14*n + 340 = 4*k - 15*n. Calculate the remainder when m is divided by k.
66
Let y = -4183 + 6038. Suppose 49*q = 56*q - y. What is the remainder when q is divided by 67?
64
Let q(i) = i**2 - 9*i + 15. Let l be q(14). Let z = 236 - l. Calculate the remainder when z is divided by 77.
74
Let t be (161/(-14) - -15)*(-4)/(-7). Suppose 0 = t*m - 13*m + 9867. What is the remainder when m is divided by 15?
12
Let c be 4/18 + 200/72. Suppose -4*o + 7 - c = 0, -3*v + 155 = -o. Suppose 5*t = 11*t + 17*t - 644. Calculate the remainder when v is divided by t.
24
Suppose 9*p - 12*p + 78 = 0. Let n(j) = 35*j - 19. Let i be n(-6). Let s = 384 + i. What is the remainder when s is divided by p?
25
Let a = 25 - 22. Suppose -4*j - c - 3 = -j, 3*j + a*c = 3. Let f = 31 + j. Calculate the remainder when 143 is divided by f.
27
Suppose 10*s - 360 = 470. Calculate the remainder when s is divided by -3 + -4 + 4 + 26.
14
Let h(o) = -o + 2. Let l = -39 + 31. Let w be h(l). What is the remainder when w/15*147/2 is divided by 17?
15
Let s(f) = -173*f + 15. Let j be s(-2). Let b = -204 + j. What is the remainder when b is divided by 27?
22
Let g(w) = -2*w**2 + 258*w + 1068. What is the remainder when 5 is divided by g(133)?
1
Suppose 30 - 2 = -2*m. Let o be 2/(-3)*(2 + m/4). What is the remainder when (-1617)/(-15) - o/(-5) is divided by 22?
20
Suppose 3 - 11 = h - 4*p, 3*h - 4*p = 0. Suppose 0*t - 2*z = 3*t - 458, -z - 2 = 0. Let d = -141 + t. What is the remainder when d is divided by h?
1
Suppose 119*w + 105 = 126*w. Suppose 0 = -10*s + w*s - 1145. Calculate the remainder when s is divided by 33.
31
Let l(m) = 5*m**2. Let d = 77 + 1249. Suppose -7*f + 24*f = d. Calculate the remainder when f is divided by l(2).
18
Let l = 27 - 102. Let x = -144 - l. Let t = x + 104. What is the remainder when 65 is divided by t?
30
Let a be 2/(-6) + 26/6. Suppose -130 = -a*j + 90. Suppose 340*b - 348 - 2983 - 1429 = 0. What is the remainder when j is divided by b?
13
Let b = 3218 + -2797. What is the remainder when b is divided by 52?
5
Let n(r) = 111*r**3 + 5*r**2 + 16*r - 47. Calculate the remainder when n(2) is divided by 75.
68
Suppose 4*z + p - 48 = -2*p, 2*z = p + 24. What is the remainder when 132/8*(0 + 2) is divided by 4*z/16 - -4?
5
Let j(q) = q**3 - 6*q**2 - 46*q + 214. What is the remainder when 1543 is divided by j(9)?
38
Let i = -92 + 96. Suppose q - 11 - i = 0. What is the remainder when (-314)/(-4)*(-5)/(q/(-6)) is divided by 53?
51
Let x = -23104 + 23178. Calculate the remainder when x is divided by (-1)/(-2) - 164/(-8).
11
Let g = -40 + 43. Suppose 0 = 2*u - 10, -5*y + g = -2*u - 2. Suppose -y*k + 100 = 7*k. Calculate the remainder when 36 is divided by k.
6
Calculate the remainder when 6/(-15)*(-3965)/26 is divided by 46.
15
Suppose 0*b + 2*b = 40. Suppose 11*u - 108 = -25*u. Suppose -141 = -u*c - 3*o + 105, 4*o = -2*c + 172. What is the remainder when c is divided by b?
18
Let b be 18/15*2*2795/2. Suppose 6*t - b = -132. What is the remainder when t is divided by 30?
27
Let c = 11721 - 9485. What is the remainder when c is divided by 68?
60
Suppose -7*f - 555 - 47 = 0. Let c = f - -218. Calculate the remainder when c is divided by 46.
40
Let u(l) = 806*l + 4769. Calculate the remainder when u(9) is divided by 14.
11
Let a(l) = -11*l - 1. Suppose -i = 4*i + 5. Suppose 0 = -5*o + 4*b + 55, 459*o - 454*o = -2*b + 25. What is the remai