en x is divided by 74.
72
Let j(m) = -21*m**3 - 8*m**2 - 12*m - 8. Let k be j(-6). Suppose 22*n = 71*n - k. What is the remainder when n is divided by 46?
42
Suppose 5*y + 2*k = -127 + 603, -2*y = 2*k - 188. What is the remainder when 287 is divided by y?
95
Suppose 3*m = -0*t - t + 275, 4*m = 3*t - 851. Suppose -2*z = 11 - 3, -5*o - z = -t. Suppose -55 = -4*g + o. Calculate the remainder when 137 is divided by g.
25
Let y(q) = -q**2 - 112*q - 314. Calculate the remainder when 506 is divided by y(-3).
12
What is the remainder when 3405 is divided by (-22)/(-297) + 2094/162?
12
Let h = 15 + -7. Suppose -3*m - 6 = 3*i - h*i, 5*i + 2*m + 4 = 0. Suppose i = 2*s - 17 - 11. What is the remainder when 26 is divided by s?
12
Let l = -418 - -682. Suppose 5*f + 2 - 192 = 0. Calculate the remainder when l is divided by f.
36
Suppose -3*n + 1029 = -38*k, -13*n + 430 = -11*n - 4*k. What is the remainder when n is divided by (60/14)/(1/7)?
11
Suppose q - 2*g + 228 = 5*q, 3*q - 2*g = 164. Suppose 0*w + 4*w + 4*d = -160, 2*d = -8. Calculate the remainder when q is divided by (6/(-4))/(w/288).
8
Suppose -5*q = 2*x - 81, 2*q = -x + 5*x - 102. Suppose 155 = -23*s + x*s. Calculate the remainder when s is divided by 0 + (53 + -2)/3.
14
Let m = 452 - -2331. What is the remainder when m is divided by 116?
115
Suppose -3*a = 2*n - 289, -4*n = a - 1964 + 1841. What is the remainder when 545/3 - 4/6 is divided by a?
90
Suppose 0 = o + r - 58 - 86, -o - 2*r = -147. Calculate the remainder when 305 is divided by o.
23
Let l = 30 + -15. Let n(p) = -p**3 + p**2 - 2*p + 167. Let h be n(0). Let d = h + -138. What is the remainder when d is divided by l?
14
Suppose 0 = -3*l + 6 - 0. Calculate the remainder when 37 is divided by l/10 - (114/(-5) - -3).
17
Calculate the remainder when 279 is divided by (14/(-6))/((-1554)/13320).
19
What is the remainder when 0 - (-1 - (-3 - -59)) is divided by (0 - 1)/(36/(-308) - 2/(-28))?
13
Let n = 6775 + -4920. Calculate the remainder when n is divided by 133.
126
Suppose 140 = 3*s + s. Calculate the remainder when s is divided by (5/(-3))/(55/66) - (-40)/2.
17
Calculate the remainder when 400 is divided by -8 + 0 + (9 - 4) - -4 - -31.
16
What is the remainder when 807 + 2/(1 + 3 + -2) is divided by 30?
28
Let x = -108 + 197. Let v = 106 - x. Suppose -v*r + 16*r + 15 = 0. What is the remainder when 53 is divided by r?
8
Let w(d) = -67 + 60*d + 57 - d**3 - 36*d - 3*d**2 - 31*d. What is the remainder when 747 is divided by w(-5)?
72
Let w(n) = -n + 7. Let x be w(9). Suppose -6*f = -220 - 92. Calculate the remainder when f is divided by 12 - (0 - (-1 + x)).
7
Let w be (55/(-10)*-262)/1 - 1. Suppose -9*y - 15*y + w = 0. Calculate the remainder when y is divided by 13.
8
Let v be -1*137/1 - -3. Let o = 178 + v. Calculate the remainder when o is divided by 10.
4
Suppose -4 = n, -3251 = -5*s - 29*n + 28*n. What is the remainder when 1306 is divided by s?
4
Let x be (13 + 47)*(-4)/(-6). Suppose 3*g - 17 = x. What is the remainder when 3*15*26/9 is divided by g?
16
Suppose -559 - 265 = -4*u - 49*j, j + 424 = 4*u. What is the remainder when 111 is divided by u?
3
Let k be 0/(-4) - -1 - (2 - 1). Suppose k = -2*m + 4*m - 88. Calculate the remainder when m/(-1)*((-5)/(-10))/(-1) is divided by 12.
10
Suppose 3*u = -t + 37 + 23, 0 = -4*t - 4*u + 280. Let h = -823 - -867. Calculate the remainder when t is divided by h.
31
Suppose 6*j = 8*j - o - 28, -5*j + 70 = o. Calculate the remainder when 13803 is divided by j.
13
Let n = 1059 + -1035. Let t = n - 8. Suppose -s = -2*s + 76. Calculate the remainder when s is divided by t.
12
Suppose 0 = 134*s - 36*s - 1043 - 1505. Let l = 1212 - 849. Calculate the remainder when l is divided by s.
25
Let r = 49 + -49. Suppose t - 5*c - 10 = -0*t, r = -5*c - 10. Suppose 8*j + 29 - 69 = t. What is the remainder when 18 is divided by j?
3
Let q = 257 - 5. What is the remainder when q is divided by 137?
115
Let w = 12 + 9. Let o be (-4 + 1)*70/w. Calculate the remainder when (-252)/(-24)*o/(-3)*1 is divided by 13.
9
Let r(c) = 38 - 35 + c**2 - 4*c**2 + 4*c**2. Let z be r(-3). Suppose z = -3*f, 3*q - 44 = -q - 4*f. What is the remainder when 38 is divided by q?
8
Suppose -122*y = -119*y - 57. Suppose 0*q = 3*q - 30. Calculate the remainder when y is divided by q.
9
Suppose -4*f - 19 = -2*y + 21, -5*f - 120 = -5*y. Calculate the remainder when 1734 is divided by y.
26
Suppose -3*a + 92 = -7*a. Let p(i) = -26*i + 2*i**2 + 13*i**2 - 63 - 18*i**2 + 2*i**2. Calculate the remainder when 29 is divided by p(a).
5
Let j = 334 + -224. Suppose 0 = r - 2*h - 27, 2*h + 2*h - 18 = 6. What is the remainder when j is divided by r?
32
Suppose 0 = -6*f + 9*f + 75. Let m = f + 17. Let b(w) = -w**3 - 5*w**2 + 22*w + 23. Calculate the remainder when b(m) is divided by 8.
7
Let r(f) = 2*f**3 + 9*f**2 - 7*f - 6. Let b be r(-5). Suppose -b*v - v = -245. Calculate the remainder when 194 is divided by v.
47
Suppose -3*d + 1585 = 5*z - 181, 5*z - 592 = -d. Calculate the remainder when d is divided by 18.
11
Let r(l) = -l**3 - 5*l**2 + 7*l + 2. Let b be r(-5). Suppose 237 = 7*y - 92. Let g = b + y. Calculate the remainder when g is divided by 9.
5
Let y be 0/((4/2)/((-38)/19)). Suppose 3*v - c - 16 = 0, y = 5*c - 15 + 5. Calculate the remainder when 84 is divided by v.
0
Let g be 4547/(-3) - (-4)/(-12). Suppose -2*d + 5*u = -37, -4*d - u = 3*u - 32. Calculate the remainder when 1/(-9) - g/36 is divided by d.
9
Let g = -177 + 182. What is the remainder when (-2)/3 + (-1036)/(-42) is divided by g?
4
Suppose w = 5*g + 2 - 61, 0 = -2*g + 5*w + 42. Let n = g - -6. Suppose 0 = c + n - 50. Calculate the remainder when 97 is divided by c.
31
Let z = 14576 - 14324. What is the remainder when z is divided by 60?
12
Let y be 2*(3 + 835/10). Calculate the remainder when y - -1 - (-33)/11 is divided by 12.
9
Suppose -22*v + 3812 + 478 = 0. Let g = 862 - 840. Calculate the remainder when v is divided by g.
19
Suppose 24*d - 36*d = -516. Let q = 51 + -27. What is the remainder when d is divided by q?
19
Suppose -95*w = 14*w - 323 - 4. Calculate the remainder when 36 is divided by w.
0
Let t = 668 - 658. Suppose -3*u + 24 = -93. Calculate the remainder when u is divided by t.
9
Let l(q) = q**3 - 7*q**2 + 18*q - 1. Let t(z) = -z**3 + 5*z**2 + 128*z - 20. Let a be t(14). Let u = -19 + 35. What is the remainder when l(a) is divided by u?
15
Let g be -5 + 2/1 + -1569 + -8. What is the remainder when (g/(-25))/(4/10) is divided by 41?
35
Suppose -3*r = 7 + 2, -4*m + 5*r + 1531 = 0. Let g = m - 253. Calculate the remainder when g is divided by 32.
30
Suppose 3*c - 60 = -2*o, 4*c = -c - 2*o + 96. Suppose -238 + 70 = -21*d. Calculate the remainder when c is divided by d.
2
Suppose 5*m - d = 383, -3*m + 2*m + 3*d = -85. Let i = 109 - m. Let u(c) = 11*c**2 + 1. Calculate the remainder when i is divided by u(-1).
9
Suppose -4*h = -16, -1271 = -5*k - 153*h + 149*h. Let u = 53 - 41. What is the remainder when k is divided by u?
11
Let d be (8/(-18))/((-50)/30150). Let f = -215 + d. What is the remainder when f is divided by 19?
15
Suppose 4*i - 45 = 19. Let j be (-363)/(-99) + (-1)/(-3) + 0. Suppose -n = 3*u - 42, 5*n - j*u = -0*u + 134. Calculate the remainder when n is divided by i.
14
Let x = 937 - 517. Suppose -56 = 13*u - x. Calculate the remainder when u is divided by 8.
4
Let g(f) = 65*f**3 + 3*f**2 - 15*f + 9. What is the remainder when g(5) is divided by 79?
76
Suppose 31*m - 12*m = 16 + 117. What is the remainder when 1*(158 - (1 + -3)) is divided by m?
6
Let h be (2/4 - 4/8) + 708. Suppose -8*b + 4*b + h = 0. Calculate the remainder when b is divided by 36.
33
Let f be (6/8)/(-2 + 27/12). Suppose -f*q + 7 = -8. Suppose 0 = -2*k + 13 - q. What is the remainder when 17 is divided by k?
1
Let i(p) = 2*p**3 + 175*p**2 + 86*p + 1050. Calculate the remainder when i(-87) is divided by 50.
37
Let s(m) = -m**3 + m**2 + 3*m + 1. Let b(t) = -t**3 + 2*t. Let k(q) = -6*b(q) + 5*s(q). Let p = -93 + 89. What is the remainder when 33 is divided by k(p)?
6
Let o(r) = 251*r + 113. What is the remainder when o(45) is divided by 5?
3
Let l = -9 - -54. Calculate the remainder when (-85 + 48 - -11) + 158 is divided by l.
42
Suppose 193*b = 189*b + 8. Suppose 5*t - b*k + 211 = 719, 0 = -