.
109
Suppose 0 = -2*p - 0 + 2, -4*p = 4*k - 96. What is the remainder when 63 is divided by k?
17
Let y(d) = 2*d - 22. Let q be y(9). Let u(s) = s**2 + 3*s + 4. Calculate the remainder when 27 is divided by u(q).
3
Suppose -10 = 2*r, 0 = -v - 2*r + 45 - 1. Calculate the remainder when v is divided by 15.
9
Let u = -58 - -58. Suppose u = 8*q - 69 - 27. What is the remainder when 33 is divided by q?
9
Let n be 9/36 - 3470/(-8). Suppose 5*i - n = 11. Suppose 4*k + 0*k = 120. Calculate the remainder when i is divided by k.
29
Let q(f) = -15*f - 695. Let s = 53 + 23. What is the remainder when s is divided by q(-49)?
36
Let h(x) = x**2 - 6*x - 26. Calculate the remainder when h(12) is divided by 19.
8
Calculate the remainder when ((-508)/3)/(17/((-51)/2)) is divided by 86.
82
Suppose 5*f - 369 = 2*h - 24, -3*h - 207 = -3*f. Let o = f - 52. Calculate the remainder when o is divided by 6.
5
Calculate the remainder when (-588)/(-294) - (59*2)/(-2) is divided by 42.
19
Suppose -5*j - 3623 = -5*u + 2807, 2*u + 5*j = 2537. What is the remainder when u is divided by 107?
104
Suppose -19*s + 22*s = -5*j + 341, 4*j - 5*s - 295 = 0. Calculate the remainder when j is divided by 15.
10
Let v(q) = 8*q**3 + q**2 - 1. Let c be (-93)/(-155) + (-1 - (-474)/10). Let w = -32 + c. Calculate the remainder when w is divided by v(1).
7
Suppose 5*a - 4*f = 34, 0 = 2*f - 7 - 1. Calculate the remainder when 639 is divided by a.
9
Let k(b) = -b**3 + 12*b**2 - 20*b + 1. Let o be k(10). Let j = 6 - 9. What is the remainder when 12 is divided by 4 - (j - 0/o)?
5
Let b(x) be the first derivative of -x**3/3 + 4*x**2 - 2*x + 10. Calculate the remainder when b(7) is divided by 4.
1
Let t(b) = -b + 2. Let d be t(-4). Suppose 0 = -u - u + d. Calculate the remainder when u is divided by 2.
1
Let u = 137 + -133. What is the remainder when 8/(-8)*(-17)/1 is divided by u?
1
Let a be 2/(-4) - 189/14. Let o = -11 - a. Suppose -f = -i + 6, 0*f - 13 = -2*i + o*f. Calculate the remainder when i is divided by 2.
1
Let l(t) = 23*t - 14. Calculate the remainder when 447 is divided by l(2).
31
Let w = 390 + 48. Suppose -3*j + w = 3*j. What is the remainder when j is divided by 19?
16
Let o(d) = d**2 - 8*d + 18. Let n be o(8). Let m = -8 + n. Calculate the remainder when 37 is divided by m.
7
Let o(w) = 20*w + 45. What is the remainder when o(5) is divided by 75?
70
Let v(f) = -f**2 + 4*f + 5. Let k be v(7). Let u = k - -34. What is the remainder when 141 is divided by u?
15
Suppose -5*g + 139 = 45*q - 43*q, 4*g - q - 93 = 0. Suppose -43 = -2*l + 47. What is the remainder when l is divided by g?
20
Suppose -181 - 75 = 5*x - 3*w, -5*w = -2*x - 110. Let l = -19 - x. Let g = -11 + l. Calculate the remainder when 77 is divided by g.
17
Let h(n) = -n**2 + 8*n + 1. Let s(r) = r + 2 - 1 + 28. Calculate the remainder when s(8) is divided by h(6).
11
Let i be 106/10 - 6/(-15). Let y = -9 - i. Let c = -6 - y. Calculate the remainder when 41 is divided by c.
13
Suppose 0 = g + g - 52. Suppose 227*t = 238*t - 154. What is the remainder when g is divided by t?
12
Let o(k) = -k**2 + 9*k - 9. Let r(y) = -78*y**3 + 2*y**2 - 4 + 77*y**3 + y + 2*y**2. Let g be r(2). Calculate the remainder when 16 is divided by o(g).
7
Suppose 0 = -11*y + 12*y. Let q(g) = -3*g + 56. Calculate the remainder when q(y) is divided by 29.
27
Let n = -17 + 29. Suppose 3*i - 4*i - 54 = 4*o, 4*o + 3*i = -58. Let p = 46 - o. What is the remainder when p is divided by n?
11
Suppose 0 = -15*n + 11*n - 3*h + 1654, h - 2 = 0. Calculate the remainder when n is divided by 84.
76
Let u = -2 + 18. Suppose k + 0 = u. Let s = -26 - -57. What is the remainder when s is divided by k?
15
Suppose 0 = -3*z - z + 56. Suppose 0 = -5*i - 3*v + 20 + z, -4*i + 17 = -v. What is the remainder when 12 is divided by i?
2
Let i(f) = 154*f - 1122. What is the remainder when i(12) is divided by 17?
12
Suppose 51 = 5*h + 11. Let c = -31 - -31. Suppose 6*r - 11*r + 25 = c. What is the remainder when h is divided by r?
3
Suppose 2*f - 110 = -2*j, 5*j + f - 287 = 2*f. What is the remainder when 227 is divided by j?
56
Let h = 9 - 0. Let m(p) = p**3 - 9*p**2 + 3*p + 4. Calculate the remainder when 90 is divided by m(h).
28
Suppose 150*p + 476 = 157*p. What is the remainder when p is divided by 8?
4
Let m(v) = -2*v - 17. Let i be m(-7). Let p be (-8)/2 - i - -3. Suppose -p*z + 2*g + 8 = -8, -2*z + 28 = -5*g. Calculate the remainder when z is divided by 2.
0
Let t = -250 + 294. Calculate the remainder when 126 is divided by t.
38
Suppose -2*s = 4*z - 68, -4*s + 31 = 4*z - 85. Let q be (-18)/s - (-6)/8. Suppose q = -14*a + 12*a + 76. What is the remainder when a is divided by 13?
12
Let u = -52 + 56. Suppose 0 = -7*d + u + 87. Calculate the remainder when d is divided by 5.
3
Let y be (100 + 20)*(-2)/(-4). Let m = y + -39. Calculate the remainder when m is divided by 9.
3
Let o = 3361 - 3338. What is the remainder when 1 - (2 + -6)*34 is divided by o?
22
Let x be (-4 - -16)/(-2 - -3). Let f = 177 + -98. Let l = f - x. What is the remainder when l is divided by 23?
21
Suppose h = 4*m - 180, -35 = 5*m - 5*h - 260. What is the remainder when m is divided by 11?
1
Suppose 0*n = -x - 3*n - 4, 16 = 4*x - 4*n. Suppose -x*q - 43 = -5*r, 3*q - 4*q - 4 = 0. What is the remainder when 20 is divided by r?
6
Let t(k) = 3*k - 1. Let p = -38 - -40. Suppose 4*h - 326 = -p*v, h + 5*v = -4*h + 420. Calculate the remainder when h is divided by t(7).
19
Let f = -76 + 95. Suppose 0*z + 6 = 3*z. Suppose -z*a + 4*a = 74. Calculate the remainder when a is divided by f.
18
Let h(b) = b**3 + 8*b**2 + 6*b - 7. Let r be h(-7). Suppose r = 3*t + t - 228. Calculate the remainder when t is divided by 15.
12
Suppose 9*x = 19*x - 350. Let v(m) = -m**2 - m + 18. What is the remainder when x is divided by v(0)?
17
Suppose -15*b = -13*b + 4*s - 222, 4*b - 2*s - 494 = 0. What is the remainder when b is divided by 28?
9
Let o = -300 + 350. What is the remainder when o is divided by 28?
22
Let v = -8 - -17. What is the remainder when 73 is divided by v?
1
Suppose 0 = -4*o + 12*o - 192. What is the remainder when 526 is divided by o?
22
Let q(c) = c**3 - 4*c**2 + 10*c + 26. Calculate the remainder when q(6) is divided by 23.
20
Suppose -324*h + 936 = -311*h. Calculate the remainder when 151 is divided by h.
7
Let a(q) = 9*q**2 + q - 1. Let x be a(2). Let l = x - 22. Suppose 3*s + 5*p - 106 = 0, -36*s - 3*p = -34*s - 72. Calculate the remainder when s is divided by l.
12
Suppose -3*x = z - 3*z + 169, -z + 5*x = -67. What is the remainder when z is divided by 21?
8
Suppose 0 = -40*d + 28*d + 132. What is the remainder when 17 is divided by d?
6
Let k = 128 + -126. Suppose 4*x = -f + 20, 3*f + 2*x = x + 5. Suppose 6 = -3*j + 5*j - z, -4*j + z + 12 = f. Calculate the remainder when j is divided by k.
1
Let r(z) = -z**3 + 5*z**2 - 2*z - 11. Calculate the remainder when 200 is divided by r(-3).
66
Suppose 2*a + 0*a - 2*i - 282 = 0, -270 = -2*a - 4*i. Calculate the remainder when a is divided by 27 - (2/6 + 12/(-9)).
27
Suppose 2*v + 4*o + 2 = 0, 5*o = v - 1 - 12. Let x = 4 + v. What is the remainder when 20 is divided by x?
6
Suppose 2*m + 2401 = 3*l - 434, -m = -3. Calculate the remainder when l is divided by 50.
47
Calculate the remainder when (782/68)/((-1)/(-74)) is divided by 12.
11
What is the remainder when 156 is divided by -2 + (-144)/(-5) - (-5)/25?
21
What is the remainder when ((-160)/(-24))/(-20) - 2066/(-6) is divided by 119?
106
Calculate the remainder when 192 is divided by 410/8 + 39/(-156).
39
Let h(f) = -2*f**2 + 32*f - 106. Calculate the remainder when 8 is divided by h(5).
0
Suppose -16*r + 247 = -25. What is the remainder when 356 is divided by r?
16
Suppose -j = -0*j + 31. Let l(q) = q**2 + 1. Let z be l(-7). Let s = z + j. What is the remainder when s is divided by 11?
8
Suppose 36 = 4*i - 3*i. Let a = -19 + i. Calculate the remainder when 67 is divided by a.
16
Let a(s) = -s + 2. Let g be a(-7). Let r(w) = w - 3. What is the remainder when 351/12 + 1/(-4) is divided by r(g)?
5
Let q(d) = d**3 + 13*d**2 + 10*d + 13. Let w be q(-12). Let y = -10 + w. Suppose 172 = 3*n - 68. What is the remainder when n is divided by y?
26
Suppose z + 2 = a + 16, 3*z + a = 54. Let l(v) = 2*v**3 - 52*v**2 - 52