 Let x(b) = b - 22. Let n(f) = -1. Let h(y) = c*n(y) - x(y). What is the remainder when h(-4) is divided by 16?
4
Suppose -2*z + 4*m - 35 = z, 2*m = -5*z - 15. Calculate the remainder when 4/(8/102) + -1 is divided by -1 - (z + 5 - 18).
16
Suppose 31*i - 20*i = 33. Suppose 0 = 4*q - i*y - 245, 37*y - 34*y = -2*q + 145. What is the remainder when q is divided by 23?
19
Let l = -36 + 71. Suppose 2*a - 210 = 4*p, -4*a = -p - 471 + 72. Calculate the remainder when a is divided by l.
29
Calculate the remainder when 20158 is divided by ((-768)/408 - 4/34)*-45.
88
Let p = 31 + -28. Suppose 0 = -3*m + p - 18, -2*a + 2*m + 32 = 0. Calculate the remainder when 84 is divided by a.
7
Suppose r - 2289 = -4*t - 573, 4*t - 1712 = -2*r. Let l(u) = 2*u**2 + 5*u - 6. What is the remainder when t is divided by l(3)?
25
Suppose 320*d + 16403 = -517*d + 128561. What is the remainder when 582 is divided by d?
46
Let i(h) = 388*h**3 - 2*h**2 + 2*h. Calculate the remainder when i(1) is divided by 51.
31
Suppose 0*q - f + 28 = 3*q, -3*f + 4 = -q. Suppose -4*h - 200 = -q*h. Calculate the remainder when h is divided by (-21)/(-3) - (-48)/24.
5
Let b(l) = 31*l + 101. What is the remainder when 114 is divided by b(-2)?
36
Let k be (44/16 - 2)*-4. Calculate the remainder when k*8/(-24)*151 is divided by 19.
18
What is the remainder when 226 is divided by (-4 - 180/(-15)) + (-47)/(-1)?
6
Suppose -992 - 718 = -38*i. What is the remainder when 279 is divided by i?
9
Suppose 5*s + 25 = t + 4*t, -4*t + 3*s + 22 = 0. Suppose 0 = 16*a - 89 + 537. Calculate the remainder when t is divided by 4/a - (-60)/28.
1
Suppose 179*a - 183*a = 3*g - 45, -3*g = -4*a - 45. What is the remainder when 117 is divided by g?
12
Let i = 23 + 85. Let u = i + -127. What is the remainder when 1 - ((0 - -2) + u) is divided by 7?
4
Suppose 261*c = 112*c + 9983. Calculate the remainder when 305 is divided by c.
37
Let h be (1 - -51) + (36/9 - 8). Suppose -h = 3*o - 51, p - 15 = -o. What is the remainder when 192 is divided by p?
10
Let o(c) = c - 1. Let q(s) = -s**2 + 1011*s + 4072. What is the remainder when q(-4) is divided by o(4)?
0
Let q = -5344 + 5510. What is the remainder when 986 is divided by q?
156
Suppose -2 = -6*u + 64. Suppose 2*a - 60 + 5 = -5*d, 5*a + u = 4*d. Calculate the remainder when 53 is divided by d.
8
Suppose 5*p = 3*v, 2*p - 3*p + 3*v = 0. Let b = p - 3. Let w(l) = -6*l + 3. Calculate the remainder when 81 is divided by w(b).
18
What is the remainder when ((-66)/8 - (-43 - -29))*(1082 - -2) is divided by 189?
185
Let h = 30 + -14. Suppose -22 + 10 = -2*u. Suppose 0 = -2*l + 3*b + 90, 3*b = -u*l + 11*l - 216. What is the remainder when l is divided by h?
10
Let n(x) = x**2 - 32*x + 79. Suppose 5*t - 5*k + 7*k - 154 = 0, 130 = 4*t + 5*k. What is the remainder when 32 is divided by n(t)?
13
What is the remainder when ((-496)/(-112) - 5)*-973 is divided by 152?
100
Let c(x) = x**2 + 7*x - 7. Let o(v) = -15*v - 203. Let w be o(-14). Let t(b) = 8*b - 32. Calculate the remainder when c(6) is divided by t(w).
23
Let j(a) = -7*a**2 + 6*a + 18. Let p be j(-7). Let n = -329 - p. What is the remainder when n is divided by 17?
4
Let m be 27/(-9) - (-45 + -7). Suppose 6*i - 151 = -m. What is the remainder when 40 is divided by i?
6
Suppose -3572 = -2*b - 2*q, -5*q - 4254 = -3*b + 1104. Calculate the remainder when b is divided by 7.
1
Let b(n) be the second derivative of -5*n**3/2 - 15*n**2/2 + 171*n. What is the remainder when 150 is divided by b(-4)?
15
Suppose -p - 4*k - 27 = 557, k = 3*p + 1739. Let h(y) = 28*y**2 - 16*y + 8. What is the remainder when h(2) is divided by (-4)/22 - p/44?
10
Suppose -825 = -5*d - 2*j, -4*j = -2*d - 0*j + 354. Let v = 224687 + -224663. Calculate the remainder when d is divided by v.
23
Calculate the remainder when 1113 is divided by 3/12*1 - 21*637/(-156).
81
Let y be (1 + 1/(-2))*94. Let c be 19 - 42/((-72)/(-12)). Suppose 3*d = -4*r + y, c = -4*r - 4. What is the remainder when d is divided by 3?
0
Suppose -106 = -5*i + 1074. Let y = -210 + i. What is the remainder when 126 is divided by y?
22
Suppose -67 + 491 = 2*d + 2*h, 4*d = 2*h + 854. Suppose -d = 9*y - 12*y. What is the remainder when y is divided by (-5)/(25/(-178)) - 24/(-60)?
35
Suppose v = 9*c - 6*c + 67, -4*v + 3*c = -304. Suppose 0 = 2*u - 23 - 29. Calculate the remainder when v is divided by u.
1
Suppose -5*g = -2*g - 51. Suppose 39 + g = 7*h. Let k = -30 + 48. Calculate the remainder when k is divided by h.
2
Let d(y) = -111*y - 379. Calculate the remainder when d(-4) is divided by 35.
30
Suppose 0 = 3*a - 3*r - 267, 224*a = 225*a + r - 79. What is the remainder when a is divided by 6?
0
Suppose -36*i + 2120 = -32*i + 2*m, -3*m = 2*i - 1060. What is the remainder when i is divided by 76?
74
Let i(z) = 126*z - 3587. What is the remainder when i(35) is divided by 62?
17
Suppose 2*l + 522 = 3*s, -5*s - 84*l + 870 = -87*l. Calculate the remainder when 370 is divided by s.
22
Let s = -3443 + 3460. What is the remainder when 102 is divided by s?
0
Suppose -168*u + 166*u + 66 = 0. Suppose 0 = -3*c - 2*j - 3*j + 255, 465 = 5*c - 5*j. What is the remainder when c is divided by u?
24
Suppose -38*u + 3554 = 134. What is the remainder when 629 is divided by u?
89
Suppose 63*x = -80*x - 2*x + 76415. What is the remainder when x is divided by 54?
41
Suppose 0 = -2*u - 4*h + 44, -5*h = 10 - 0. Suppose 684 = -44*b + 56*b. What is the remainder when b is divided by u?
5
Let p be 84/(-76) + (-2)/(-19). Let i be (-7)/(p - (0/3)/(-4)). Suppose -5*y + i*y = 14. What is the remainder when 31 is divided by y?
3
Let i(r) = -r**3 - 15*r**2 - 56*r - 199. Calculate the remainder when 2377 is divided by i(-12).
40
Suppose 1527*o = 3*b + 1526*o - 42, 3*b - 69 = -2*o. Let i = 403 + 563. Calculate the remainder when i is divided by b.
14
Let f = 586 - 373. Let i(w) = -4*w - 1. Calculate the remainder when f is divided by i(-7).
24
Let g = -46 - -78. Suppose -4*m + 2*m + g = 2*b, 2*m + 45 = 5*b. What is the remainder when 263 is divided by b?
10
Suppose 6*m - 327 = 3*b, 10*m + 2*b = 13*m - 163. What is the remainder when 809 is divided by m?
39
Let n = -18 + 36. Let i = 164 - 154. Suppose v = 3*z + i, 3*v + 16 = 8*v + 2*z. What is the remainder when n is divided by v?
2
Let m = 201 - 187. Calculate the remainder when 92 is divided by m.
8
Let m(f) = 80*f**2 + 2*f - 1. Let j be m(2). Let d = j - 236. Calculate the remainder when d is divided by 7.
3
Suppose -2*f - 590 = -5*o, 4*o + 3*f = 9*o - 595. What is the remainder when 7075 is divided by o?
115
Let a = 107 + -94. Let c be (-4)/18 - 20/(-9). Suppose -4*w + 72 = -c*n + 4*n, -5*w - 5 = 0. What is the remainder when n is divided by a?
12
Suppose 17959 - 3344 = 79*r. Calculate the remainder when r is divided by 36.
5
Let c(z) = 3*z**3 - 3*z**2 - 4*z - 1. Let i be c(-1). Let r(k) = -11*k**3 - 4*k**2 - 2*k. Calculate the remainder when r(i) is divided by 15.
12
Let w = -7098 + 7291. What is the remainder when w is divided by 190?
3
Let m = -6 - -8. Suppose -6*r - m*d + 424 = -4*r, 0 = 4*r - 2*d - 860. What is the remainder when r is divided by 5?
4
Suppose 5*c - 140 = 160. Calculate the remainder when c is divided by 105/8 + (-3)/24 + 0.
8
Let t(j) = -52*j - 25. What is the remainder when t(-15) is divided by 126?
125
Let w be (276/4 - -3)/((-14)/(-21)). What is the remainder when w/(-16)*-1 + 2/8 is divided by 4?
3
Let b(g) = g**3 - 133*g**2 + 731*g + 3980. Let p = 10 + -5. Suppose 5*a - 128 = p*l - 23, a = 5*l + 13. What is the remainder when b(127) is divided by a?
20
Suppose -13*j + 4589 - 4199 = 0. What is the remainder when 719 is divided by j?
29
Suppose 5*q - 20*q + 1620 = 0. Suppose x = -3*x + q. What is the remainder when 375 is divided by x?
24
What is the remainder when 1 - (7 + -4 + -685) is divided by 36?
35
Let j = -42 - -289. Let m = 264 - j. What is the remainder when 421 is divided by m?
13
Suppose 92 + 16 = 2*p - 2*v, 5*p - 286 = v. Calculate the remainder when 175 is divided by p.
1
Let y = -35 - -37. Suppose y*q = -3*a - q - 57, 4*q = -3*a - 58. Let b = 6 - a. Calculate the remainder when b is divided by 5.
4
Let j(m) = 126*m + 128. Let r(s) = -s**3 - 7*s**2 - 3*s - 9. What is the remainder when r(-7) is divided by j(-1)?
0
Suppose 0 = -4*k - 3*v + 3