Let c = q + 312. Calculate the remainder when c is divided by t.
4
Suppose d = -4*f + 41 - 1, -d + 5*f = 32. Calculate the remainder when 14477 is divided by d.
5
Suppose -3*y = 2*n - 48, -107*y + n + 53 = -103*y. Let c(i) = 8*i - 18 - 4*i - 14. Calculate the remainder when 68 is divided by c(y).
20
Suppose -13*j + 6552 = -34*j. Let u = j + 318. What is the remainder when 21 is divided by u?
3
Let h(i) = 3*i**2 + 100*i - 695. Calculate the remainder when (2/(-3))/((-4)/768) is divided by h(6).
11
Suppose 11*o - 260 = -4*v + 10*o, -3*o = 4*v - 252. What is the remainder when 79 is divided by (-1 + 3)/(11/v)?
7
Suppose 5*j = 287 + 173. Let h be -1 - j*2/1. Calculate the remainder when 2*1 + 12/(-30)*h is divided by 39.
37
Suppose 4*g + 660 = -4*q + 680, -22 = -2*q + 2*g. Let c = -8 - -14. Suppose 2*x - c = y, 2*x = 5 + 5. Calculate the remainder when q is divided by y.
0
Suppose 0*a - 2*u = 3*a - 49, 5*a = 5*u + 65. Suppose -92*o + 27 = -8*o - 141. What is the remainder when a*6 - -2 - o is divided by 31?
28
Suppose 5*m = 10 + 10. Suppose -48 = m*f + 4*f. Let g(n) = 2*n**2 + 9*n + 10. What is the remainder when 51 is divided by g(f)?
23
Let g(x) = 79*x + 4221. What is the remainder when 540 is divided by g(-50)?
269
Let f be -215*6*(-10)/75. Suppose 4*c - f = -5*g, -4*c + 2*g + g = -140. What is the remainder when c is divided by 11?
5
Suppose 0 = -15*u + 9*u - 25*u. Suppose u*d + 170 = 5*d. What is the remainder when 218 is divided by d?
14
Let m = 38 - 12. Suppose t - 2 = -3*w, 3*t - 2*t - 5*w = m. Calculate the remainder when 38 is divided by t.
5
Suppose 174 = 3*w - 93. Suppose 9*g - 130 = 347. Let m = 98 - g. Calculate the remainder when w is divided by m.
44
What is the remainder when 13324 - ((-200)/(-20) + (-88)/8) is divided by 119?
116
What is the remainder when ((-6)/4)/(9/(-402))*84/21 is divided by 138?
130
Suppose -16*r - 12*r - 5254 = -47338. What is the remainder when r is divided by 376?
375
Suppose k - 59 = 5*b - 10*b, -5*k - b = -319. Let m = 1319 - 1297. What is the remainder when k is divided by m?
20
Let l(c) = -6*c**3 - 3*c**2 - 17*c + 1. Calculate the remainder when l(-4) is divided by 7.
6
What is the remainder when 573 is divided by (-7 + (-43)/(-5))/(2/10)?
5
Let j(u) = -263*u + 8467. Suppose 4 = -2*i + 164. Calculate the remainder when j(31) is divided by i.
74
Let w = -413 - -469. Let a = 57 + -37. Calculate the remainder when w is divided by a.
16
Suppose p + p + s = 4061, 5*p = s + 10163. Calculate the remainder when p is divided by 37.
34
Suppose -2*k + 3054 = v, 7*v = 12*v + 2*k - 15286. Calculate the remainder when v is divided by 68.
66
What is the remainder when (-48108)/(-18) - (-12)/(-18) - 10 is divided by 205?
202
Let t(q) = 4*q**2 + 11*q + 61. Let a = 405 - 410. What is the remainder when t(a) is divided by 32?
10
Let x = 419 + -286. Suppose 6*l = -5*k + l + 225, l + 185 = 4*k. What is the remainder when x is divided by k?
41
Suppose 2*t + 97 = 105, 0 = 4*p + 5*t - 780. Calculate the remainder when p is divided by 0 + 34 + 0 + 2.
10
Let b(x) = -108*x + 879. What is the remainder when 143 is divided by b(7)?
20
Let l be -2 + (-661 - (0 + 0)). Let n = l - -933. What is the remainder when n is divided by (52/(-6))/((-24)/108)?
36
Suppose 0 = 16*v - 11*v + 5, 0 = -4*p - 5*v + 167. Let h = 426 - p. Calculate the remainder when h is divided by 16.
15
Let a = 3004 - 2978. What is the remainder when 749 is divided by a?
21
Suppose 5*w + 3 = -a - 10, -12 = 4*w. Let j = -107534 + 107562. Calculate the remainder when j is divided by a.
0
Let l be (69/15 - 5)/((-1)/5). Let g(r) = -5*r + l*r - 2*r + 9*r - 49. What is the remainder when 11 is divided by g(13)?
2
Let h be 32*-1*(-9)/12. Suppose -4*t = -a - 125, 5*t + 4*a - 177 = -5. Suppose -8*n + h = -t. Calculate the remainder when 31 is divided by n.
3
Let s(h) = -78*h - 727. What is the remainder when s(-11) is divided by 2 + 51*(-2)/(-6)?
17
Let t be (-3116)/(-57)*(-6)/(-4). Let b = -37 + t. What is the remainder when b is divided by -8*(-2)/((-8)/(-6))?
9
Suppose -4*g = -2*u - 1218, -5*g - 2122 + 350 = 3*u. Let w = u - -839. What is the remainder when w is divided by 61?
57
What is the remainder when (21 - 5)/2 + 6467 is divided by 10?
5
Calculate the remainder when (-4)/34 - ((-61542)/306 + 20) is divided by 32.
21
Let z = -1 - -5. Suppose z*y = 429 - 149. What is the remainder when y is divided by -74*(-5 - ((-5715)/300 + 14))*(-12 + 2)?
33
Suppose 3*l - 15 = -5*x, 3*x = -2*l - 1 + 10. Suppose -2970 = -88*m + 22*m. Calculate the remainder when m is divided by x.
0
Suppose -2*j + 4*a = -26, 10*a - 12*a + 15 = 3*j. Suppose 0 = -2*t - 4*t + 1086. Calculate the remainder when t is divided by j.
6
Let h = -2680 + 3217. Calculate the remainder when h is divided by 128.
25
Let d(k) = -k**3 - 26*k**2 + 32*k + 137. What is the remainder when 256 is divided by d(-27)?
0
Let i be (8/6)/2*(-30 - -39). Let a = 43 + i. Calculate the remainder when 586 is divided by a.
47
Let b(y) = 14 + 391*y + 31 + 384*y + 15*y. Calculate the remainder when b(1) is divided by 19.
18
Let o = 142916 - 142513. Let x = 33 - 6. What is the remainder when o is divided by x?
25
Suppose b - 4*w - 77 + 28 = 0, 5*w = -2*b - 19. Suppose -4*x + 243 - 24 = -5*y, -3*y = 9. What is the remainder when x is divided by b?
12
Let b = -14834 + 15380. Calculate the remainder when 1702 is divided by b.
64
Suppose 0 = -378*n + 381*n - 5*u - 41, -5*n + 3*u + 79 = 0. Calculate the remainder when 7206 is divided by n.
15
Let d = 3674 - 3124. What is the remainder when d is divided by 46?
44
Let m = -12463 + 12696. Calculate the remainder when 6516 is divided by m.
225
Suppose 752 = -12*m + 848. Calculate the remainder when -1 + 4 + (-6 - -26) is divided by m.
7
Let w = -103125 + 103142. Suppose -4*z - 3*g = -246, 0 = 2*z + 4*g - 24 - 94. What is the remainder when z is divided by w?
12
Let l(c) be the third derivative of -c**6/15 + 89*c**5/60 + c**4/3 - c**3/3 + c**2 + 6. Calculate the remainder when l(11) is divided by 54.
45
Suppose -26*q - 31 = 177. Let b(n) = -33*n - 217. Suppose 10 = -5*w + 470. Calculate the remainder when w is divided by b(q).
45
Let g = -82 - -87. Let f(i) = i**2 - 3*i - 1. Let t = -84 + 191. What is the remainder when t is divided by f(g)?
8
What is the remainder when 35781 is divided by 196/8*54/63?
18
Let c(x) = x + 1. Let a(m) = 2*m + 19. Let w(t) = -a(t) + 4*c(t). Let v be w(7). Calculate the remainder when 73 is divided by 21 + (3 + v - -2).
23
Let h = 235 + -223. Suppose 36*j - h*j = 672. What is the remainder when j is divided by 14?
0
Let n(j) = -145*j - 2218. Calculate the remainder when n(-32) is divided by 15.
7
Let s = 116 - 60. Let a(k) = k**3 + 50*k**2 + 3*k + 168. What is the remainder when s is divided by a(-50)?
2
Let k = -38 - -29. Let b = k + -9. Let o = b - -26. What is the remainder when 22 is divided by o?
6
Let m = 201 + -205. Let u = 14 + 56. What is the remainder when u is divided by 20 + (4/3)/(m/6)?
16
Suppose y - 153 = -2*y. Let a be 296/(-74) - (-3)/(3/436). What is the remainder when y is divided by (3 - a/(-28)) + (-12)/28?
15
Let g be 1/(-2 + 84/44). Suppose -24*l + 29*l - 185 = 0. What is the remainder when l is divided by -4 + g/(-1) - 2?
2
Suppose -606 = 3*i + 3*i. Suppose 173 = -5*s - 122. Let u = s - i. Calculate the remainder when 82 is divided by u.
40
Suppose 0 = 5*k + 2*w - 1970, -k - 2*k + 1183 = w. Suppose 4*u - k = -4*x, 3*x + 5*u - 108 = 191. Calculate the remainder when x is divided by 25.
23
Let t = 532 + -317. Let v = t - 185. What is the remainder when 50 is divided by v?
20
Let d = -5 - -10. Let v be (-262)/(-6) + d/(-3) + 1. Let p = 49 - v. Calculate the remainder when 9 is divided by p.
3
Let l = 130 + -83. Let k(c) = 2*c**2 + 11*c + 82. Let r be k(-5). Suppose -12*x + 223 = -r. What is the remainder when l is divided by x?
22
What is the remainder when 9097 is divided by (132/(-1))/(-3) - (-10 - -4)?
47
Let k = -1624 + 2287. What is the remainder when k is divided by 203?
54
Let c be ((-4)/5 + 2)/((-4)/(-10)). Suppose -c*d - d - 396 = 0. What is the remainder when (-8096)/d - (-4)/18 is divided by 17?
14
Suppose -3763 = -t - 98*t + 46*t. Let q = 23 - 15. What is the remainder when t is divided by q?
7
Let f = 1304 + -370. Suppose -f +