remainder when 324 is divided by d.
28
Let u be (-1)/8 - 741/(-104). Let t be u - (-2 + -4 + 4). Suppose 0 = 17*i - t*i - 88. What is the remainder when i is divided by 4?
3
Let h(i) = -2*i**3 + 30*i**2 + i - 15. Let n be h(15). Suppose n = m - 10*q + 5*q - 99, -3*m + 229 = 2*q. Calculate the remainder when m is divided by 21.
16
Suppose -237 = -4*w - m + 2471, -5*w + 3360 = -5*m. Calculate the remainder when w is divided by 85.
81
Suppose 12 + 0 = -6*d. Let p(y) = 4*y**2 + 7*y + 9. Let r(i) = -i**2 - 7*i + 6. What is the remainder when p(d) is divided by r(-7)?
5
Let t be (((-2)/4 - -1) + -1)*-22. Let n(q) = q**2 - 12*q. Let p be n(t). Calculate the remainder when (6/(-4))/(-2 - p/6) is divided by 5.
4
Let c be (-4)/((-96)/18) + (-410)/(-8). Let s = -51 + c. What is the remainder when (-774)/3*s/(-2) is divided by 33?
30
Let d(a) = 4*a**2 + 70*a - 1102. Calculate the remainder when d(17) is divided by 410.
14
Suppose 0 = -9*d + 3*d - 162. Let h = -97 + 111. What is the remainder when (-18)/d - 112/(-3) is divided by h?
10
Suppose -39*p + 2397 = 50*p - 95. What is the remainder when 3078 is divided by p?
26
Suppose -29*c + 3540 - 887 + 8396 = 0. What is the remainder when c is divided by 115?
36
Suppose -775 = 7*r + 499. Let t = 249 + r. Calculate the remainder when t is divided by 18.
13
Let d(a) = -7*a + 89. Suppose -x + 57 = 5. What is the remainder when x is divided by d(11)?
4
Let s = -7447 - -7473. What is the remainder when 129 is divided by s?
25
Suppose 3*v = 14 - 38. Let m = 1981 - 1952. Let u = v + m. Calculate the remainder when 37 is divided by u.
16
Suppose -5*j + c = -66, 2*j - 21 = -c + 4. Let g(t) = -1342*t - 8046. Calculate the remainder when j is divided by g(-6).
1
Suppose -18*d + 202 + 33 = -13*d. Calculate the remainder when 278 is divided by d.
43
Let a(q) = -1202*q - 22827. Let w = 35 + -7. Calculate the remainder when w is divided by a(-19).
6
Suppose 0*z + 407 = 13*z - 3597. Calculate the remainder when z is divided by 53.
43
Let u = 1260 + -44. Suppose 8*y = 24*y - u. Calculate the remainder when y is divided by 26.
24
Suppose 0 = -m - 3*t + 257, m = -t + 50 + 217. Suppose 5*r + 15 - 245 = 0. Calculate the remainder when m is divided by r.
42
Let b(z) = 106*z - 682. Let p = -95 - -135. Calculate the remainder when b(7) is divided by p.
20
Let p = 376 - 345. Calculate the remainder when 2384 is divided by p.
28
Suppose -25*u + 10*u + 16236 = 117*u. Calculate the remainder when 614 is divided by u.
122
Suppose 3*c - 14 = -4*c. Suppose 2 = -4*u + j + 3, c*u + 3 = -3*j. Let y = 102 + u. What is the remainder when y is divided by 26?
24
Let c(l) = 86*l - 1558. What is the remainder when c(19) is divided by 42?
34
Suppose 2*c - 934 = -3*i - 0*i, -4*c - 16 = 0. Suppose 6*p - 65 = 5*p + 4*f, 0 = -4*p - 2*f + i. What is the remainder when 304 is divided by p?
73
Let s(o) = 12*o**2 + 160*o + 740. Calculate the remainder when s(-5) is divided by 11.
9
Let b(l) = l**3 - 3*l**2 + 0 + 3*l + 0*l - 2*l + 11. Let d = -53 + 58. Calculate the remainder when b(d) is divided by 17.
15
Let l(q) = 21*q + 270. Calculate the remainder when l(-3) is divided by 50.
7
Suppose 48 = 7*y - 3*y. Suppose 7*o - 9*o + 66 = 0. What is the remainder when o is divided by y?
9
Let l = 315 + -249. Suppose -l = -z + v, 0 = 4*z + 4*v - 2*v - 294. What is the remainder when z is divided by 4?
3
Let z(d) = -d**2 - 40*d + 444. Calculate the remainder when 93 is divided by z(9).
0
Let m = -129 + 137. Suppose -m*z = 2*i - 13*z - 232, 0 = -5*i - z + 526. What is the remainder when i is divided by 54?
52
Suppose 0*x + 6 = 3*j - 3*x, -3*x - 30 = 5*j. What is the remainder when 53 is divided by 31/1 + (j - 0/1)?
25
Calculate the remainder when (5/10)/(-4 + 2461869/164124 + -11) is divided by 8.
6
Suppose -5*o - 2*u + 43 = 0, 2*o - 2*u = -4*u + 16. Let q = 35 - -55. Suppose -2*d - 4*d + q = 0. Calculate the remainder when d is divided by o.
6
Let l = -3 - -20. Let g = 40 - l. Suppose -30*u + 34*u - 356 = 0. Calculate the remainder when u is divided by g.
20
Let d be (-11 - 1)/((-81)/54). Let t(k) = d*k - 31*k + k**2 - 27 + 16*k. What is the remainder when t(13) is divided by 14?
9
Let d = -134 - -195. What is the remainder when 912 is divided by d?
58
Suppose -677 = -5*z + 5*w + 518, 3*z = 5*w + 707. What is the remainder when z is divided by 81?
1
Suppose -4*m + 26 - 2 = 0. Suppose -2280 = -43*o + 429. What is the remainder when o is divided by (-94)/(-3) - m/(-9)?
31
Let a be 49/7 - 6 - 3 - 485. Let r = a + 549. Let h(x) = -4*x - 3. What is the remainder when r is divided by h(-3)?
8
Let u = -8980 + 9084. What is the remainder when u is divided by 8?
0
Let o(y) = 2*y**2 + 2*y - 12. Let f be o(-5). Suppose 5*q + 23*x = f*x + 175, -3*q = -x - 101. What is the remainder when q is divided by 12?
9
Suppose 5*f = -4*b + 42, -2*f + 10 - 34 = -12*b. Calculate the remainder when 24/(-10)*(-25)/1 is divided by f.
0
Suppose -7*n + 3*n + 28 = 0. Suppose -255 = -14*o + 81. Calculate the remainder when o is divided by n.
3
Suppose 14*w = 11*w + 21. What is the remainder when 3*(-60)/(-9 - -3) is divided by w?
2
Let j(v) = 2*v**2 - 2*v**2 - 39*v - 18 - v**2 + 63*v. Let u be j(23). Suppose -u*d = -110 + 35. What is the remainder when 33 is divided by d?
3
Let g be (1/3)/((-5)/45) - -7. Suppose -2*u + s - g*s = -37, 3*u - 4*s - 81 = 0. Calculate the remainder when 85 is divided by u.
16
Let f = -3410 + 3532. What is the remainder when 247 is divided by f?
3
Suppose 0 = 5*c - 4*u + 4, 4*c - 2*u = -0*u - 2. Suppose c = -3*r + 17*r - 210. What is the remainder when 43 is divided by r?
13
Let w be (-1 - 2)*(4 - 5) - -269. Suppose -4*f = -4*y - 0*f + w, 3*f + 62 = y. Calculate the remainder when y is divided by 24.
23
Let s(w) = 486*w + 115. What is the remainder when s(3) is divided by 19?
15
Suppose -3*m + 91 + 41 = 0. Calculate the remainder when m is divided by (30/(-270))/((-830)/414 - -2).
21
Calculate the remainder when 314 is divided by (-9)/((-63)/665) - 2.
35
Let g(i) = 0*i**2 + i**2 - 6*i - 1 + 0 - 2*i**2. Let h be g(-5). Suppose -u + 45 = h*u. What is the remainder when 16 is divided by u?
7
Let i be 1060/(-8) - 9/18. Let o = i - -144. What is the remainder when 54 is divided by o?
10
Suppose 0 = u - 6*u + 230. Let f be ((-2)/(-2))/(-8 + 50/6). Suppose 5*l - 453 = -5*n + 3*l, -f*l + 12 = 0. What is the remainder when n is divided by u?
43
Suppose 0 = 2*o + 83*b - 87*b - 356, -4*o = -b - 733. What is the remainder when 497 is divided by o?
129
Let g(a) = -4*a**3 - a - 13 - 17*a**2 + 4*a**3 + a**3 - 2*a**3. Let d be g(-17). Let l(b) = 3*b - 2. What is the remainder when 24 is divided by l(d)?
4
Suppose -12001 = -18*x + 5027. What is the remainder when x is divided by 106?
98
Let j = -1400 + 1542. What is the remainder when j is divided by 6?
4
Let z = 1443 - 1046. What is the remainder when z is divided by 16?
13
Let w(j) = 304*j**3 - 17*j**2 + 107*j - 97. What is the remainder when w(5) is divided by 36?
33
Let s = 238 - -22173. What is the remainder when s is divided by 31?
29
Suppose -2*t + 3*r = 1 - 23, 0 = 5*r + 20. Suppose -2 = -b - t*w + 15, -5*w = 15. What is the remainder when 76 is divided by b?
12
Let n(r) = 4 + 10 + 6*r - 45 - 55. What is the remainder when 24 is divided by n(15)?
0
Let l be (-2)/(-13) + 112/(-52). Let a(i) = -1 - 55*i**3 + 0*i**2 - i**2 - i**2 + 52*i**3 - i. Calculate the remainder when 22 is divided by a(l).
5
Let u(t) = -12*t**3 + 12*t**2 + 4*t + 2. Suppose 3*v = 4*v - 19. Suppose -3*y + g = 7 - 27, 2*y + 5*g = v. Calculate the remainder when u(-1) is divided by y.
1
Suppose 5*o = 5*w - 220, -9*w + 4*w = 3*o + 164. Let f be 124*(2/(-4) - -1). Let p = f + o. What is the remainder when 33 is divided by p?
5
Suppose 15*g + 48 = 12*g. Let h = g - -18. Calculate the remainder when ((-75)/h)/(4/(-8)) is divided by 26.
23
Let b(u) = 2*u**3 - 54*u**2 + 398*u - 1. Calculate the remainder when b(15) is divided by 163.
80
Suppose 5*w - 15 = 5*j - 110, 19 = j + 3*w. Suppose -4*q - 41 = -3*k, 19*q + j = k + 15*q. What is the remainder when 87 is divided by k?
10
Let d(w) = w**3 + 13*w**2 - 6*w - 32. Let t be d(-13). Let n = t + -44. Suppose 306 = 4*h + n*h. Calculate the remainder when h is divided by 27.
24
Let z(n) = 25*n**2 + 8*n - 13. Suppose -3*s = 