ed by 52.
49
Suppose -1985*z = -1959*z - 1430. What is the remainder when 1207 is divided by z?
52
Let q(n) = -12 + 2 + 4*n**2 + 9*n**3 - 8*n**3 + 16 + 6*n**2. Let p = 15 - 25. What is the remainder when 27 is divided by q(p)?
3
Let f = 66 + -55. Let g = 7 - f. What is the remainder when 26 is divided by g/12 - (2 - 49/3)?
12
Suppose -5*i - 2237 = -3*k, -k - 530 = 5*i - 1309. What is the remainder when k is divided by 54?
52
Let g be -7 + 8 - (140 - (-8)/4). What is the remainder when g/(53/(-25) + 2) is divided by 19?
16
Let g(z) = -13*z - 88. Let j be g(-7). Suppose -j*i = -6*i + 615. Calculate the remainder when i is divided by 71.
63
Suppose 0 = -18*v + 256 + 302. Suppose v*d = d + 870. What is the remainder when 50 is divided by d?
21
Let y be (-2)/3 + 144/(-27). Let n(z) = -z + 10. What is the remainder when 109 + -58 - 18/(-2) is divided by n(y)?
12
Calculate the remainder when -597*(-1 - (15/21)/((-78)/(-182))) is divided by 114.
110
Suppose 5*d - 35 = 5. Calculate the remainder when ((-525)/(-20))/(-35)*892/(-3) is divided by d.
7
What is the remainder when 16*10/(-20) - -249 is divided by 69?
34
What is the remainder when 519 is divided by -9 - (3 - 4) - (-167 + -4)?
30
Suppose 8 = u - 2*t + 3, u - 5*t = 8. Suppose u*l + 69 = 2*n + 2*l, -n + 5*l + 39 = 0. What is the remainder when 56 is divided by n?
22
Suppose 0 = -4*t + 3*t - c + 344, -4*t - 2*c = -1366. Let r(z) = -z**3 - 36*z**2 + 77*z + 72. Calculate the remainder when t is divided by r(-38).
33
Let n = -5 + 9. Let u = 15 + 40. Suppose 12*v = -7 + u. Calculate the remainder when n is divided by v.
0
Let y be 71*2*8/16. Suppose -4*n = -0*v + 5*v - y, 4*v = 2*n - 68. What is the remainder when n is divided by 7?
3
Let s(y) = -76*y + 323. Calculate the remainder when s(-8) is divided by 51.
13
Suppose 80*c - 320471 = -82*c + 702559. Calculate the remainder when c is divided by 54.
51
Let z = 67 + -43. Let a = 64 - z. Suppose 8*k - 4*k = a. Calculate the remainder when 35 is divided by k.
5
Let t be ((-5)/(-8))/((6/3)/16). Suppose 0 = t*k - 6*f + f - 105, -2*f = 4*k - 60. Calculate the remainder when (-4)/(-6) - (-368)/6 is divided by k.
11
Calculate the remainder when 398 is divided by 175/7*3/3.
23
Calculate the remainder when (1545/(-2))/(9/(-12)) is divided by 43.
41
What is the remainder when 1930/(-8)*((-384)/40 - -8) is divided by 121?
23
Suppose -3*n + 18021 = 5*a, 45*a - 4*n = 50*a - 18013. Calculate the remainder when a is divided by 157.
155
Let a be -15*((-96)/18 - (-10)/2). Let t be 0/(-1)*(-2)/4. Suppose 5*b = 3*j - 44, t = -2*j + j + a*b + 28. Calculate the remainder when 12 is divided by j.
4
Suppose -16 = 4*f - 116. What is the remainder when 2418/6 - 8 - -4 is divided by f?
24
Let u(z) = -z**3 - 34*z**2 + 66*z - 14. Let k be u(-36). Suppose -50 = 8*w - k. Calculate the remainder when 4/(-6)*-111 + -2 is divided by w.
15
Let p(f) = 4*f**3 - 336 - 3*f**3 + 24*f**2 + 372 + 101*f. Calculate the remainder when p(-18) is divided by 41.
39
Suppose -154*r + 146*r + 2*k + 7096 = 0, 2*r - 1774 = -k. What is the remainder when r is divided by 128?
119
Let h be (-114)/(-9) - ((-2)/(-3) + 0). Calculate the remainder when 50 is divided by (18/h)/(3/38).
12
Suppose -2*y - 3*o + 6 = 0, -3*o = 2*o. Suppose 0 = -6*d - y + 3. Calculate the remainder when 48 is divided by 3/(-6) + d - (-35)/10.
0
Suppose -71*j = -420*j + 45719. Calculate the remainder when 338 is divided by j.
76
Suppose -14226*q + 14230*q = 476. Calculate the remainder when 2495 is divided by q.
115
Let w(z) = z**2 - 5*z - 16. Suppose 0 = -4*t - 4, -272 = -12*p + 8*p - 4*t. What is the remainder when p is divided by w(11)?
19
Suppose -5*q = 3*k - 8 - 31, -4*k - q + 52 = 0. Let z = -805 - -1179. Calculate the remainder when z is divided by k.
10
Suppose -2*j = -4*j, -2*j = 3*d - 6048. Suppose -4*g - d = -12*g. Suppose 7*h = 98 + g. Calculate the remainder when h is divided by 17.
16
Suppose 10*l - 5*c = 6*l + 1664, l - 4*c = 427. Let z = l - 221. Calculate the remainder when z is divided by 32.
30
Calculate the remainder when 2850164/4758 - 8/(-26) - 2/(-3) is divided by 200.
0
Suppose 0 = 4*o + 5*v - 499, -7*o = 78*v - 75*v - 856. Calculate the remainder when 333 is divided by o.
91
Let b(j) = -2*j**2 + 4*j + 10. Let x be b(3). Suppose -x*v - 3*p + 252 = 0, -50 - 76 = -2*v - p. Calculate the remainder when v is divided by 8.
7
Suppose 4*c + 6 = 2*l - 4*l, l = 4*c + 27. Let r(k) = -8*k**2 - 2*k - 1. Let u be r(-1). Let z = 40 - u. Calculate the remainder when z is divided by l.
5
Let i = -45 - -50. What is the remainder when 96 is divided by 22 - (i/5)/((-1)/(-2))?
16
Let z(k) = k**2 - 2*k + 8. Calculate the remainder when ((210/(-8))/(-21))/((-792)/800 + 1) is divided by z(8).
13
Suppose n = 6*n - 35. Let c(u) = 2*u - 5 + 1 + 11. What is the remainder when n is divided by c(-2)?
1
Suppose 20*w - 2344 - 632 = 1064. What is the remainder when 808 is divided by w?
0
Let k = 4 + 5. Let q be (-61)/(-2) + k/(-18). Let h = 47 - q. What is the remainder when h is divided by 7?
3
Let c(o) = -3*o + 1. Let w be c(-2). Suppose 88 = w*f - 10. Calculate the remainder when 82 is divided by f.
12
Suppose -3*w - 6778 - 12428 = -3*v, -4*v + 25626 = 5*w. What is the remainder when v is divided by 5?
4
Suppose 0 = -2*y - 3*o - 560 + 1622, -o - 1615 = -3*y. Calculate the remainder when y is divided by 136.
129
Let t = -1 - 0. Let x be -2 - (-2 + (-5 - t)). Suppose -2*r - 4 = -4*v, 3*r - x*v = v - 1. What is the remainder when 39 is divided by r?
7
Let q(j) = 8*j - 14. Let o be 2/13 + (-7)/(364/(-200)). Let g be q(o). Calculate the remainder when 43 is divided by (8/(-10))/(g/(-360)).
11
Let l(s) = -s**2 + 8*s - 10. Let y be l(5). Suppose -5*h + 129 = -4*p, p - y = -1. Let b(j) = j**2 - j + 6. Calculate the remainder when h is divided by b(0).
5
Suppose 1620 = 30*h - 11*h + 8*h. Calculate the remainder when 288 is divided by h.
48
Let f be 2 + 71*-7*1. Suppose -4*t + 30*q - 15 = 29*q, -15 = 3*t + 3*q. What is the remainder when (-2)/t + f/(-22) is divided by 12?
11
Let f = -21 - -29. Let h be 12/(-4) + 2 + 4. Suppose -7*n + 12 = -h*n. What is the remainder when f is divided by n?
2
Let f = -50 - -59. Suppose -f*i = 41 + 76. Let k = 45 + i. Calculate the remainder when 61 is divided by k.
29
Suppose 5818 - 42010 = -156*n. What is the remainder when n is divided by 21?
1
Let u be -2*(-3)/(-6)*-1. Let d(t) = -2*t**2 - 1 - 12*t**2 + t + 37*t**2. What is the remainder when 90 is divided by d(u)?
21
Let x = -222 - -271. Suppose -43*o - 1068 = -x*o. Calculate the remainder when o is divided by 46.
40
Suppose 55*c - 2684 = -654 + 1710. What is the remainder when 169 is divided by c?
33
Suppose -61*b - 328 = -63*b. Calculate the remainder when b is divided by 31.
9
Let t(l) = -2*l**2 - l + 85. Let p(d) = -4*d**2 + 79*d + 26. Let n be p(20). Calculate the remainder when 28 is divided by t(n).
0
Suppose o = 0, -36 - 32 = -4*g + 3*o. Suppose 3*l = 4*l + 48. Let m = l - -96. What is the remainder when m is divided by g?
14
Let i(d) = -3*d + 50. Let w be i(14). Suppose w*m = 4*m + 128. Let b = m - -47. Calculate the remainder when b is divided by 22.
13
Let c(n) = -1180 + 4*n**3 - 3*n**3 + 8*n + 6*n**2 + 1191. What is the remainder when 40 is divided by c(-4)?
7
Let p(t) = -t**3 + 24*t**2 - 22*t - 13. Let l be p(23). Suppose 2*g - 2 = 0, -l*b - 42 = -15*b - 2*g. What is the remainder when 47 is divided by b?
7
Let a be 1/(((-3)/(-15))/(6/(-10))). Let k(g) = 17*g + 10. Let s be k(a). Let c = 5 - s. What is the remainder when c is divided by 10?
6
Suppose -7*o + 3*o + 44 = 0. Let d be (9/(-2))/(21/2632). What is the remainder when 50 is divided by 2/o + d/(-44)?
11
Let q = -21537 - -22698. Calculate the remainder when q is divided by 5.
1
Let b be (-164)/14 - 1*2/7. What is the remainder when (10 + b)*206/(-4) is divided by 13?
12
Suppose j = -82*p + 79*p + 189, -109 = -2*p + 5*j. Calculate the remainder when p is divided by 52.
10
What is the remainder when 958 is divided by 72/(-9) + 5 + 22 + 5?
22
Let r = 601 + 934. What is the remainder when r is divided by 128?
127
Let i be ((-554)/22 - 8/(-44))*1. Let z be 306 + 5*(-10)/i. Suppose 6*b = z + 220. Calculate the remainder when b is divided by 45.
43
Suppose 4*p = i - 1110, p + 2449 + 3139 = 5*i.