-159 + 164. Suppose 3*h = -4*t - 25 + 183, -b*t - 240 = -5*h. Calculate the remainder when h is divided by 18.
14
Let u = 199 - 183. Suppose -12*p + u*p = 12. What is the remainder when (0 + 1)*(8 + -4) is divided by p?
1
Suppose 5*m - 314*c - 169 = -317*c, 5*c - 130 = -4*m. What is the remainder when 2059 is divided by m?
29
Let d = 32480 + -32422. Let g(i) = i**2 - 5*i - 2. Let y be g(5). Calculate the remainder when d is divided by (7*-1 - y)*-2.
8
Suppose -209 = -1485*y + 1480*y - v, 4*v + 196 = 4*y. What is the remainder when 539 is divided by y?
23
Suppose 5*i - 143 = 3*m, -2714*i + 59 = -2712*i - 3*m. Let s(b) = b**3 + 0*b + 4 - 4*b - 1. Calculate the remainder when s(6) is divided by i.
27
Suppose 8 = 2*q + 2*n + 4, n = 3*q - 22. Let c = 6663 - 6658. Calculate the remainder when q is divided by c.
1
Let v = 583 + 54. Calculate the remainder when v is divided by (-980)/238 + 4 + 7/(238/3132).
85
Suppose 0 = -5*b + 6*b - 60. Let s be 15/(((-12)/b)/(2 + -1)). Let w = s - -94. What is the remainder when w is divided by 3?
1
Suppose 329*x - 31119 = 326*x. Suppose -2517 + x = 8*y. What is the remainder when y is divided by 82?
80
Suppose 0 = -7*u + 8*u - 37. Suppose -u = 4*v + 47. Let y = -6 - v. Calculate the remainder when 71 is divided by y.
11
Let i(g) = g**3 + 6*g**2 - 7*g + 18. Let y be i(-7). Let m = y + 109. What is the remainder when m is divided by 44?
39
Let t(y) = 21 - 31*y**3 + 56*y**3 - 26*y**3 + 34*y**2 + 35*y. Calculate the remainder when t(35) is divided by 15.
6
Suppose 3*z - 113 = 2*o, 0 = -4*o + 2*z - 83 - 155. Let q = 178 + o. Calculate the remainder when q is divided by (3 - -38)/1 + (-2)/2.
37
Suppose -5*j + 4*f = -214 + 172, -4*j - 4*f = -84. What is the remainder when 98 is divided by j?
0
Suppose -49*j + 130 = -62*j. Calculate the remainder when 4/10 + (-696)/(-10) is divided by ((-75)/j)/((-15)/(-72)).
34
Let h be (-480)/(-140) - 8/(-14). Suppose 12*s - 16*s = -h*c - 116, 0 = -4*s - 2*c + 110. Calculate the remainder when s is divided by 11.
6
Let v = 1972 + -1899. Let s = 59 - 40. What is the remainder when v is divided by s?
16
Let u(d) = d**2 - 204*d + 4231. What is the remainder when 1089 is divided by u(23)?
1
Let l be 7 + -2 + 2 + 44. Let v(g) = g**2 + 2*g - 7. Let f be v(7). Let t = f - l. What is the remainder when 12 is divided by t?
2
What is the remainder when 659*(15 + (-154)/11) is divided by 11?
10
Suppose 13*l - 2144 = 4874 + 4539. What is the remainder when l is divided by 2?
1
What is the remainder when 386 is divided by (-280)/12*72/(-20)?
50
What is the remainder when (29 + -38)*16/216*-4038 is divided by 1346?
0
Suppose 100*j - 402 = 4898. What is the remainder when 155 is divided by j?
49
Let n = 2298 - 2239. What is the remainder when 461 is divided by n?
48
Suppose q - 19 = 5*a + 1, 2*a + 3*q = -8. Let o be (35/(-10))/(2/a)*-6. Let l = 130 + o. What is the remainder when l is divided by 13?
10
Let w = -1047 + 1866. Let j = 877 - w. What is the remainder when 173 is divided by j?
57
Let l(c) = 28*c + 3081. Calculate the remainder when 71 is divided by l(-109).
13
Let x = -4337 - -4648. Calculate the remainder when x is divided by 293.
18
Suppose 462*l + 75504 = 514*l. Calculate the remainder when l is divided by 103.
10
Suppose -w + 243 = 224. Suppose 3*a - w*a = -1408. Let g(o) = -o**2 + 11*o - 7. Calculate the remainder when a is divided by g(5).
19
What is the remainder when 2650/35 - 2/(-7) is divided by 572/22*(1 + 0/(-1))?
24
Suppose 0 = -2*q - 252 + 1292. Suppose -q = -19*x + 14*x. Calculate the remainder when x is divided by 21.
20
Let d = 15693 - 15506. Calculate the remainder when 301 is divided by d.
114
Let i = 595 + -724. Let y(n) = 28*n**2 - 2*n - 3. Let a be y(3). Let j = i + a. What is the remainder when j is divided by 23?
22
Let r(b) = 93*b**3 - 3*b**2 - 4*b + 6. Calculate the remainder when 3124 is divided by r(1).
88
Let i = 25 + -9. Let k be -4 - (-572)/i - (-1)/4. Suppose -5*y = -2*m - 27, -2*m + k - 9 = 5*y. What is the remainder when 19 is divided by y?
4
Let c = 195 - -219. Suppose c*a - 415*a = -461. What is the remainder when a is divided by 58?
55
Let y(f) be the second derivative of f**4/6 - 5*f**3/6 + 3*f**2/2 - 11*f. Calculate the remainder when y(3) is divided by (51 + -60)*(2 - 0)/(-6).
0
Suppose 5*r - d - 31 = -0*r, -2*r - 4*d + 30 = 0. Suppose m = 12 - r. Suppose m*h = 288 + 37. What is the remainder when h is divided by 17?
14
Let o(i) = -11*i - 55. Let c(q) = 4*q + 19. Let d(m) = 17*c(m) + 6*o(m). Let r be d(4). What is the remainder when (-5)/(r/10 + (-6)/10) is divided by 7?
3
Suppose 17 = -0*v + v. Suppose 22*d = -40*d + 7192. What is the remainder when d is divided by v?
14
Let x = 239 - 232. Suppose -15*h - x*h + 308 = 0. What is the remainder when 91 is divided by h?
7
Let r = 3034 - 3008. What is the remainder when 541 is divided by r?
21
Suppose -4477 = 261*g - 28848 - 18433. Suppose 5*j + 6 - 85 = -3*b, -4*j - 4 = 0. Calculate the remainder when g is divided by b.
24
Let i be 2/(-8) - 11/(-44). Suppose -5*m = -z + 328, -924 = -3*z - i*m - 5*m. Calculate the remainder when (1/2)/(z/78 - 4) is divided by 21.
18
Suppose -5*u + 4*h + 2307 = 0, -5*h + 1336 + 63 = 3*u. Calculate the remainder when u is divided by 42.
1
Calculate the remainder when 1860/15*1/(4/386) is divided by 42.
38
Let i = 8662 + -8516. Calculate the remainder when 2478 is divided by i.
142
Let t = 211 + -207. Suppose 0 = 2*s - 2, -t*h = s - 3*s - 70. Calculate the remainder when 142 is divided by h.
16
Let h(x) = x**3 - 4*x**2 - 9*x + 7. Let f be h(9). Suppose 3*q - 189 = v + v, -3*v - f = 5*q. Let k = v + 214. What is the remainder when k is divided by 19?
17
Let c(v) = v**2 + 17*v + 72. Let z be c(-8). Suppose 2*u - 139 - 19 = z. What is the remainder when u is divided by 27?
25
Let u = 64 - 38. Suppose -9*p + 113 - 41 = 0. What is the remainder when p is divided by u/6 - (-6)/9?
3
Let b be 3 + 6/(-9) + 16/6. Suppose 0 = b*g + g - 150. Suppose 43*j = 38*j + 15. What is the remainder when g is divided by j?
1
Suppose 0 = -48*c + 7672 + 4952. Suppose -4*u = -29 - 319. What is the remainder when c is divided by u?
2
Suppose 17472 = 5*q - 4*h, -2*q - 3*h = -983 - 6038. What is the remainder when q is divided by 18?
8
Let l = -8759 + 8816. Calculate the remainder when 278 is divided by l.
50
Suppose -64 = -40*s + 39*s - 5*u, 5*s + 2*u - 251 = 0. What is the remainder when 175 is divided by s?
28
Suppose 21*j = 22*j - 55. Let h = -44 + 8. Let k = h + 55. Calculate the remainder when j is divided by k.
17
Suppose -622 + 1936 = 9*l - 0*l. Calculate the remainder when l is divided by 76.
70
Suppose 7*p = 3*f + 3*p + 43, 2*p - 11 = f. Let r be 21/(-14) - f/2. Let l = r + -6. What is the remainder when 5 is divided by l?
2
Suppose u + u = 416. Suppose -70*t + 6*t + 2688 = 0. Calculate the remainder when u is divided by t.
40
Calculate the remainder when 230 is divided by (-668)/(-5) + -19*6/(-285).
96
Suppose -17366 = -171*r - 1463. Calculate the remainder when 305 is divided by r.
26
Suppose -5*a + 3 = -32. Let t(h) = 2 - 13 + 7*h**2 - 4*h + 8 + 9 + 14*h. What is the remainder when t(-3) is divided by a?
4
Suppose 4*b - 12 = 4*n, 4*n + 0 = -4*b - 12. Let z(r) = -3*r**3 - 6*r**2 - 4*r - 3. What is the remainder when 178 is divided by z(n)?
34
Suppose -9*m + 5 + 148 = 0. Suppose m*d - 12*d - 5*t = 340, 248 = 4*d + 4*t. Calculate the remainder when d is divided by 11.
10
Suppose 11*l - 190 = -3. Suppose -4*f = -6*f + 18. Calculate the remainder when l is divided by f.
8
Suppose u - 30 = -2*u. Let t be (-296)/u - (-32)/(-80). Let z = 41 + t. What is the remainder when 42 is divided by z?
9
Suppose 13*r - 4*r = -4410. Let x = r + 510. Let u = -20 + 58. What is the remainder when u is divided by x?
18
Let q = 3915 + -3752. Suppose 7*h - 206 - 368 = 0. What is the remainder when q is divided by h?
81
Suppose -6*v = -3*v - 1020. Let n(r) = 2254*r + 117226. What is the remainder when v is divided by n(-52)?
16
Let y = -29 + 125. What is the remainder when y/(-64)*(-332)/6 is divided by 7?
6
Let j(l) = -88*l - 2414. Calculate the remainder when 415 is divided by j(-29).
1
Let w be (-3 + (-18)/(-5))*5. Suppose -b - 4*s = -w*b + 340, 0 = 3*b + 5*s - 488. What is the remainder when b is divided by 