 -154*m + 159*m = -5*d + 2545, -d + 3054 = 6*m. Calculate the remainder when m is divided by 8.
5
Let a = 144 + 136. Suppose 98*n - 102*n - 352 = 0. Let f = n + a. What is the remainder when f is divided by 39?
36
Calculate the remainder when (2 - 3*85/30)*-34 is divided by 52.
13
What is the remainder when ((-2*1118)/4)/(19/(-57)) is divided by 184?
21
What is the remainder when (-7296)/(-4) + 91/7 + -1 is divided by 15?
6
Suppose -9*p + 4 - 22 = 0. Calculate the remainder when 170 is divided by 21 - 21 - (-41 + p).
41
Let n = 16 + -67. Suppose 0 = -6*u + 7*u + 47. Let q = u - n. Calculate the remainder when q is divided by 2.
0
Suppose -5*q = 4*b - 2312, -5*q + 4*b + 1939 + 349 = 0. Calculate the remainder when q is divided by 452.
8
Let l = -29 + 41. Suppose 4*t = -0 + l. What is the remainder when 20 is divided by 15 - (t - (1 - 2))?
9
Let b(p) = -199*p**3 - 2*p**2 + p. Let x be b(1). Let c = 46 - 42. What is the remainder when ((-3)/6)/(2/x) is divided by c?
2
Let r = -11119 - -11157. What is the remainder when 5055 is divided by r?
1
Suppose -36 = -6*f + 72. Suppose 0 = -11*j + f*j - 280. Calculate the remainder when 50 is divided by j.
10
Let h(b) = b**2 + 7*b - 38. Let q be h(-10). Let m(j) = 2*j**3 + 16*j**2 - 2*j + 9. What is the remainder when 99 is divided by m(q)?
24
Let r(q) = -q**3 + q**2 - q + 4. Let t be r(0). Let j(n) = 11*n - 10. Let c be j(t). Let h = -25 + c. What is the remainder when h is divided by 5?
4
Suppose 9*k - 135 = -18. Let d = 1606 - 958. Calculate the remainder when d is divided by k.
11
Calculate the remainder when 1405 is divided by -37 - -40 - ((-1518)/10 - (-2)/(-10)).
10
Let t be 3/6 - (-207)/(-6). Let b = 53 - t. Suppose -12 + b = 5*w. What is the remainder when 102 is divided by w?
12
Let f(h) = -224 - 226 + 2*h + 514. Suppose 3*m - 2*m = -5*c + 66, 2*c = 2*m - 84. Calculate the remainder when m is divided by f(-26).
10
Let x = -1704 - -1820. Calculate the remainder when 334 is divided by x.
102
Calculate the remainder when ((-146)/8)/(2/(-16)) is divided by 3/2*(-79 - -113).
44
Suppose 240*z = 241*z + 3. What is the remainder when 156 is divided by 11/z + 28/42 - -44?
33
Let y = -18744 - -20706. What is the remainder when y is divided by 8?
2
Suppose 11*l = l + 1030. Let h = l - 97. Let n(x) = 3*x**2 - 1. What is the remainder when n(2) is divided by h?
5
Let r(n) = 49*n**2 - 214*n + 212. What is the remainder when r(1) is divided by 6?
5
Suppose -2*u - 4 = 2. Let w be 477 - 1 - u*6/9. Suppose -5*c + 384 = 4*g - 5, 0 = -5*g + 2*c + w. Calculate the remainder when g is divided by 25.
21
Let t(j) = j**2 + j - 7. Suppose -19*s = -2*s + 7*s. Suppose s = -k - 496 + 503. Calculate the remainder when t(-5) is divided by k.
6
Calculate the remainder when 13*6/9*8688/32 is divided by 62.
59
Let z = 85 - 57. Let p(d) = 247*d**3 + 10*d - 2*d**2 + 252*d**3 - 500*d**3 - 10. Calculate the remainder when z is divided by p(-5).
13
Let o = 4 + 24. Suppose -154 + 189 = 7*y. Suppose y*l + o = 9*l. What is the remainder when 110 is divided by l?
5
Suppose -4*s = -2*o - 462, -22 - 455 = -4*s - 3*o. What is the remainder when s is divided by 111?
6
Let m(s) = -483*s + 965*s + 193 - 484*s. What is the remainder when m(16) is divided by 92?
69
Suppose 16 = 2*d + 4*j, 4 = -d - 3*d + j. Suppose -9*n + 209 - 83 = d. What is the remainder when 192 is divided by n?
10
Let l(o) = -o**2 + 17*o + 5. Suppose 0 = 109*y - 112*y + 36. Suppose 0 = -r + 4*r - 57. Calculate the remainder when l(y) is divided by r.
8
Calculate the remainder when (59884/(-24))/11*-6 is divided by 47.
45
Let c = -29763 + 45998. Calculate the remainder when c is divided by 6.
5
Suppose 15*k = 2 + 58. Suppose 3*m + 3*w = 105, 3*m = k*m - w - 35. What is the remainder when m is divided by 23?
12
Suppose -2591 = -12*p + 553. Let m = 643 + -610. Calculate the remainder when p is divided by m.
31
Calculate the remainder when 25/30 - (-1)/((-12)/(-2786)) is divided by 148.
85
Suppose -5*f + 156 = 2*c, -7*c - 108 = -3*f - 10*c. Calculate the remainder when 169 is divided by f.
1
Let d = 153 + -104. Let j = 19565 + -19552. What is the remainder when d is divided by j?
10
Let u = 6080 - 6045. Calculate the remainder when 243 is divided by u.
33
Let p(c) = c - 6. Suppose 15 = m + 3*i, -m + 3 = 2*i - 5*i. Calculate the remainder when 1*-1 - (-16 + 5) is divided by p(m).
1
Let a = -129 + 228. Suppose -a = -3*q + 105. Calculate the remainder when q is divided by 11.
2
Let g = -546 - -548. Suppose -z = g, 3*p + p - 392 = 4*z. What is the remainder when p is divided by 87?
9
Suppose y + 28 = 5*y. Suppose -32 = 7*o - 15*o. Let b(k) = -2*k**2 + 14*k + 2. What is the remainder when b(o) is divided by y?
5
Let z = -3697 + 3790. What is the remainder when 176 is divided by z?
83
Let h = -598 - -766. Calculate the remainder when h is divided by (86/3)/(2/3).
39
Let j(r) = -16*r**2 - 55*r + 3. Let i be j(-5). Calculate the remainder when (-3 - 0)*10*i/6 is divided by 34.
32
Suppose 4*t - 670 = 2*a, 5*t - 17 = 5*a + 808. Suppose 87*d = 97*d - t. What is the remainder when 44 is divided by d?
10
Let z be (3 - 1)*(-159)/(-6). Suppose -z = 7*l - 228. What is the remainder when l is divided by 14?
11
Let w = -417 + 2876. Calculate the remainder when w is divided by 23.
21
Let j(n) = 2*n**3 - 10*n**2 + 11*n - 6. Let b(r) = r**3 - 10*r**2 - 8*r - 23. What is the remainder when b(11) is divided by j(4)?
4
Suppose 4*u = 4*r - 16432, 8226 = 2*r + 108*u - 105*u. What is the remainder when r is divided by 11?
7
Let o = -863 + 910. What is the remainder when 795 is divided by o?
43
Calculate the remainder when 6829 is divided by 100/10 + 109 + -7.
109
Suppose -2*o = 2*g - 6, -4*o + g - 8 = -20. Suppose -n - 128 = 3*v - 8*v, 0 = -o*v - n + 80. Calculate the remainder when v is divided by 11.
4
Let z(p) = -49*p - 11. Let m(j) = -33*j - 7. Let h(o) = 8*m(o) - 5*z(o). What is the remainder when 1107664/22645 + (-3)/(-35) is divided by h(-1)?
13
Let g = -311 - -319. Calculate the remainder when (36/5)/(3/15) is divided by g.
4
Let p = 18 + -5. Let z(b) = -2124*b + 12790. What is the remainder when z(6) is divided by p?
7
Let n(l) = -4*l**3 - 5*l**2 + 168*l + 338. Calculate the remainder when 5176 is divided by n(-2).
10
Let i(s) = -35*s - 291. What is the remainder when 75 is divided by i(-10)?
16
Let s(w) = -146*w - 377. Calculate the remainder when s(-5) is divided by 73.
61
Let j(a) = 7*a**2 - a - 1. Let s be j(-4). Let k = 25 + -23. Suppose -5*w = 5*q - w - s, 2*q - k*w = 64. What is the remainder when 215 is divided by q?
26
Let m = -58894 + 58923. Suppose 0 = -2*p + 26 + 140. Calculate the remainder when p is divided by m.
25
Let v = -24 - -17. Let w(h) = 7*h + 38. Calculate the remainder when (v - -1)*1276/(-66) is divided by w(-3).
14
Suppose 3*m + 12 = -0*b - 4*b, 5*b + m + 15 = 0. What is the remainder when ((-1974)/8)/b + (-2)/8 is divided by 18?
10
Let r(k) be the first derivative of 434*k**3/3 - 4*k**2 + 6*k + 47. Calculate the remainder when r(1) is divided by 31.
29
Suppose 601*i - 536*i = 6435. What is the remainder when i is divided by 27?
18
Let r(b) = 16*b**2 + 29*b + 28. Let q be r(-1). Suppose -q*x = 199 - 3064. What is the remainder when x is divided by 24?
23
Let h(u) = -u**3 + 46*u**2 + 208*u - 43. Let r be h(50). What is the remainder when 9 - (-4 + 18) - (0 - r) is divided by 114?
10
Let z(c) = 2*c**3 + 12*c**2 - 4*c + 1. Let k = -2693 - -2966. What is the remainder when k is divided by z(-6)?
23
Let k = -196 + 127. Let s = -57 - k. Suppose c + 2*c - 135 = 0. What is the remainder when c is divided by s?
9
Let p(r) = 3*r + 54. Let v be p(-19). Let z be -1*(9/27 + 16/v). Suppose z*c - 20 + 67 = 3*o, -3*c = -15. What is the remainder when o is divided by 14?
10
Suppose -601*c + 599*c = 5*l - 558, 0 = 4*l + 5*c - 477. What is the remainder when l is divided by (17/(-3))/((-1)/6)?
6
Let z(c) = 13*c - 148. Suppose -o + 28 + 3 = 0. Calculate the remainder when z(o) is divided by 29.
23
Suppose 25*v - 114*v = -194510 - 64391. What is the remainder when v is divided by 13?
10
Let b = 574 - 538. Let x(a) = -20*a - 7. Let z be x(-6). Let v = z - b. Calculate the remainder when v is divided by 13.
12
Let r(s) = 2*s**2 + 14*s + 12. Let l be -252 + 12/(-10)*10/(-4). Let a = 391 + l.