 when i is divided by 31.
28
Let j = 40 + -24. Let z = 80 + -57. Suppose 2*g - 3*q = 64, g - q - 8 - z = 0. Calculate the remainder when g is divided by j.
13
Let l be 2*2/(-16) - (-187)/44. Suppose 2*f + 2*f + l*h - 44 = 0, -h - 4 = 0. Let t = 112 - 54. What is the remainder when t is divided by f?
13
Let q(g) = 2*g**2 + g - 3*g**2 + 2*g + 4*g + 6. Let p(c) = 2*c**2 + 14*c + 6. Let t be p(-7). What is the remainder when 32 is divided by q(t)?
8
What is the remainder when 624 is divided by 39/(-12) - (-6516)/144?
36
Suppose 32 = 13*x - 5*x. Suppose -z + 2*k - x*k = -35, -4*k + 33 = z. Suppose -41*f = -z*f - 32. What is the remainder when 13 is divided by f?
5
Let p(i) = 10*i + 169. Let l be p(-20). Let z = 415 + l. What is the remainder when z is divided by 77?
76
Suppose 238*o + 106*o = 72*o + 21216. Let y be (-124)/20 - (-2)/10. Let z = -1 - y. What is the remainder when o is divided by z?
3
Let v be (-8)/12 + (-172)/(-6). Suppose 0 = -i - 2*w + 90, v*w = -i + 31*w + 75. Let a(j) = -j**3 + 29. Calculate the remainder when i is divided by a(0).
26
Let p(j) = 69*j - 161. Calculate the remainder when p(8) is divided by 95.
11
Let r = 3777 + -2961. Calculate the remainder when r is divided by 55.
46
Let q = -9372 + 9580. What is the remainder when q is divided by 99?
10
Let u(f) = -20 - 34 - 21 - 32*f + 37. Calculate the remainder when u(-4) is divided by 20.
10
What is the remainder when (-1)/(3/(-960)) - 2 - 216/36 is divided by 27?
15
Let h(u) = -100*u**2 - 1076*u + 12. Calculate the remainder when h(-10) is divided by 19.
12
Let b = 543 - 170. Let m = b - 303. Calculate the remainder when m is divided by 36.
34
Let c = 1984 - 593. Calculate the remainder when c is divided by 116.
115
Suppose -35*n + 31*n = -5*i + 4408, i = n + 883. What is the remainder when i is divided by 22?
18
Let t = 21 - 30. Let c be (2/8*t)/(2/104). What is the remainder when 116 is divided by 4/((-12)/c) - -1?
36
Suppose 0*q + q - 3*h - 12 = 0, 0 = -2*q - 4*h - 6. Calculate the remainder when 1 + (-1 - q) + 47 is divided by 10/25*135/6.
8
Let i(w) = 3*w - 9. Let a be i(10). Let j = 49 - a. What is the remainder when 167 is divided by j?
27
Let t(z) = -1056*z**3 - 4*z - 4. Let k be t(-1). Suppose k = 46*i - 40*i. What is the remainder when i is divided by 20?
16
Let x be 4/(-16)*-8 + -232. Let c = x - -369. What is the remainder when c is divided by 47?
45
Let x = -225 + 183. Calculate the remainder when 7/(x/(-162)) - 5 is divided by 34/8 - (-1)/(-4).
2
Suppose g = -6*h + h + 354, -h + 4*g = -75. Let x = h - -7. What is the remainder when 699 is divided by x?
75
Suppose -23*u - 78*u + 593 + 1427 = 0. What is the remainder when 1938 is divided by u?
18
Suppose l - 50 = -3*d - 11, -d + 13 = 4*l. What is the remainder when 320 is divided by d?
8
Let x = 20131 + -19999. What is the remainder when 299 is divided by x?
35
Let s(t) be the second derivative of t**4/4 - t**3/6 + 3*t**2/2 - 13*t. Let j = 10 - 8. Calculate the remainder when 24 is divided by s(j).
11
Let b = -4 + 9. Let v = 8 - b. What is the remainder when ((-164)/10)/(-9 - 172/(-20)) is divided by v?
2
Suppose 35*x = 32*x - 5*s - 69, s = 2*x + 33. What is the remainder when 10 is divided by ((-9)/18)/(1/x)?
1
Calculate the remainder when 449 is divided by ((-1)/9)/((-138)/1242).
0
Let k(g) = -6*g - 4*g + 2*g + 17 - 15*g - 4*g**2. What is the remainder when 30 is divided by k(-6)?
8
Calculate the remainder when 173 is divided by 10 + -5 - (-6)/(2 + -1).
8
Suppose -9*j = 66 - 30. Let s = j + 22. What is the remainder when 66 is divided by s?
12
Let h(x) = 3*x**2 + 44*x + 432. Calculate the remainder when h(-53) is divided by 51.
50
Let m(r) = 6*r**2 + 0*r - 15*r - 9 - 13 + 1 - 2*r**2. What is the remainder when m(12) is divided by 47?
46
Suppose -7*m + 1287 = -1750 - 2108. What is the remainder when m is divided by 214?
93
Let i be 124 - (-9)/(63/14). What is the remainder when 13 is divided by ((-2)/4)/((81/i)/(-9))?
6
Let w = -6634 + 8172. What is the remainder when w is divided by 20?
18
Let s(z) = z**3 + 13*z**2 - 23*z + 19. Calculate the remainder when s(-13) is divided by 59.
23
Suppose 2319*t - 2321*t + 1734 = 0. Calculate the remainder when t is divided by 866.
1
Suppose 4*a + k = 189, 9*a - 63 = 8*a + 5*k. Let u = 766 + -528. Calculate the remainder when u is divided by a.
46
Let v = 388 + -732. Let o = -157 - v. Calculate the remainder when o is divided by 3.
1
Suppose 5*i + 98 = -5*o + 978, 2*i + 4 = 0. Suppose 0 = 991*s - 35583 - 25859. Calculate the remainder when o is divided by s.
54
Suppose 10*q = 11*q - 56. Let t be (-2)/4*(338 - (-9 - -1)). Let n = -153 - t. What is the remainder when q is divided by n?
16
Let j = 146 - 94. Let o = 2850 - 2845. What is the remainder when j is divided by o?
2
Suppose 0 = -2*z + 6 - 0. Suppose -z*v = -5*x - 35, 4*x = 3*v + x - 27. Let u = 294 - 292. What is the remainder when v is divided by u?
1
Suppose -56*g + 21*g + 7560 = 0. Suppose -40*s = -37*s - g. Calculate the remainder when 300 is divided by s.
12
Suppose 14*l = 14 + 42. Let u(y) = -y**3 + 7*y**2 - 5*y - 10. Suppose -3*h - 146 = -4*a + 2*h, -2*h = 4. What is the remainder when a is divided by u(l)?
16
Let d = -509 + 790. Suppose 9*c - 6*c - i + d = 0, -5*c - 4*i - 491 = 0. Let z = c + 243. What is the remainder when z is divided by 30?
28
Let i(x) = -99*x - 1574. Suppose 5*o + 54 + 3 = -3*f, 0 = 2*o - f + 25. Let p = 15 + o. What is the remainder when i(-16) is divided by p?
1
Let s(b) = -b**2 + 9*b + 4. Let d be s(8). Suppose -d*g + 11*g + 29 = 0. What is the remainder when g is divided by 18?
11
Suppose 5 = -56*u + 57*u. Suppose 0 = -u*n + 904 + 76. Calculate the remainder when n is divided by 50.
46
Let s = 62 - 61. What is the remainder when 187 is divided by 540/10 - 6/s?
43
Let h(t) = -23*t**3 + t**2 + t. Let i(f) = f**3 - 8*f**2 + 4*f - 33. Let w be i(8). What is the remainder when h(w) is divided by 5?
3
Suppose -w + 5*w + 4*y - 40 = 0, y = -3*w + 20. Suppose -w*x - 8*x = -1339. Calculate the remainder when x is divided by 21.
19
Let j(z) = -155*z + 257. What is the remainder when 805 is divided by j(1)?
91
Let c = 18397 - 18182. What is the remainder when c is divided by 95?
25
Let j(h) = h**2 + 97*h + 524. Calculate the remainder when j(-96) is divided by 108.
104
Suppose 0 = 4*k + k - 2*m - 25, 0 = 4*k + 4*m + 8. Let a = -898 - -901. What is the remainder when a is divided by k?
0
Suppose 24*b + 15*b = -2340. What is the remainder when 659 is divided by (36/b)/((-2)/110)?
32
Let x = 39 - 36. Suppose x*r - 2*j + 70 = 0, -r + 2*j = -2*r - 26. Let p = 33 + r. Calculate the remainder when 20 is divided by p.
2
Suppose v - 3*j - 19 = 0, -6*v - 3*j + 20 = -4*v. Suppose v = -22*d + 23*d. What is the remainder when (-1 + 3)/(4/74) is divided by d?
11
Let v be (5/(-10))/(3/(-42)) + -4. Suppose 26 = v*z - 283. Let k = z - 92. Calculate the remainder when k is divided by 8.
3
Let i be 5/2*(-116)/(-145). Suppose 6*c - i*c - 44 = 0. Suppose -4*v = n - 27, 0*v + 3 = -3*v. What is the remainder when n is divided by c?
9
Let c = 41 + -22. Let b(k) = -39*k**2 + 176*k - 5. What is the remainder when b(4) is divided by c?
18
Let v(u) = 3*u**2 - u - 16. Suppose 25 = 11*p - 63. Let d be v(p). Let b = -35 + d. Calculate the remainder when b is divided by 34.
31
Suppose -4*c = 3*k, -c + k = -2*c - 1. Suppose 2*p = -2*p - 2*b - 334, -5*p = 4*b + 410. Let q = p - -94. What is the remainder when q is divided by c?
2
Let z = 313 - 183. Let l = 107 + z. Let g = 355 - l. Calculate the remainder when g is divided by 15.
13
Let i = 6029 + -5986. What is the remainder when 1588 is divided by i?
40
Let b(c) = -c**3 + 35*c**2 + 112*c + 73. Let t be b(38). What is the remainder when 141 is divided by 1 + t + 3 - -17?
15
Suppose -5*n - 16 = -1. Let b = n + 12. Suppose 0*r = -d - r + b, 3*d + r = 19. Calculate the remainder when 7 is divided by d.
2
Let b = -8 - -10. Let x(n) = 3*n**2 - 2*n - 20. Let j be x(5). Suppose -g + 0 - 1 = 0, -5*g = -5*y + j. Calculate the remainder when y is divided by b.
0
Let v = 400 - 382. Let h(o) = 24*o**2 + 9*o - 4. Let c be h(-12). Calculate the remainder when c/120 - 4/(-30) is divided by v.
10
Suppose 0 = -h - 8 + 11. What is the remainder when 82 is divided by ((-1)/h)/(-1 - 204/(-207))