2. What is the remainder when k is divided by 31?
18
Let g = -229 + 270. Let r = 36 + -25. What is the remainder when g is divided by r?
8
Let c = 1593 + -1529. What is the remainder when c is divided by 20 + 4/(-2) - 0?
10
Let p = 3 + 0. Suppose 4*o - 212 = 4*a, 0*o + a - 179 = -p*o. Let u = -634 + 654. Calculate the remainder when o is divided by u.
18
Suppose -97 = 29*g - 2156. What is the remainder when g is divided by 29?
13
Suppose -5*i + 25 = 0, 3 = 3*y - i - 1. What is the remainder when 49 is divided by (1/(-2))/(y/(-156))?
23
Let w = -53 - -61. Suppose w = -0*x + 4*x, -4*x = -5*f + 527. What is the remainder when f is divided by 18?
17
Let x be (-4 - (-4 + -118)) + -2. What is the remainder when (x/12)/((-1)/(-3)) is divided by 10?
9
Suppose -92 = -2*d - 5*k + 2*k, 92 = 2*d - 5*k. What is the remainder when (-22 - -8)*13/(-2) is divided by d?
45
Let h(t) = 3*t**2 + 4*t - 12. Let u be h(-6). Suppose 3*n - 81 = -3*f - 0*n, 5*n + u = 4*f. What is the remainder when f is divided by (-93)/(-7) + (-8)/28?
10
Suppose -430 = 185*j - 187*j. Calculate the remainder when j is divided by 64.
23
Suppose 4*a - a - 273 = 0. Suppose -7*p + 56 + a = 0. What is the remainder when 79 is divided by p?
16
Suppose 3*o + 320 = 7*o. Suppose -p = 4*p - o. Let z(t) = 2*t + 60. What is the remainder when z(-15) is divided by p?
14
Suppose -309*w - 183 = -312*w. What is the remainder when w is divided by 9?
7
Suppose 2*a - 113 = -t, 4*a - t - 2*t - 221 = 0. Calculate the remainder when a is divided by (-19)/(-2) - (-2)/4.
6
Suppose g + 5 = 5*y, -2*y - 13 = -3*g - y. Suppose 2*v - g*v + 4*f + 216 = 0, 4*v = 4*f + 284. What is the remainder when v is divided by 14?
12
Let w(s) be the first derivative of s**3/3 + 6*s**2 - s - 12. Let f be w(-11). Let i = 2 - f. Calculate the remainder when 41 is divided by i.
13
Suppose 7*b = 3*b + 8, -4*b = -3*h + 1. Suppose 4*t = -h*f + 117, -3*f + 209 = 5*t + 65. What is the remainder when t is divided by 14?
13
Suppose -13*n - 49 = -153. Calculate the remainder when 2 + (10*4 - 3) is divided by n.
7
Let t = -735 - -744. What is the remainder when 610 is divided by t?
7
Suppose -4*z = -5*b - z + 6, -b - 2*z + 9 = 0. Suppose -4*r + 168 = -b*r. Suppose 4*h - 52 = r. Calculate the remainder when h is divided by 29.
26
Suppose 0 = -7*a - 4*a + 44. Calculate the remainder when 115 is divided by a.
3
Let q(j) = j**2 - 11*j + 3. Suppose -4*i - 20 = 0, -2*c + 0*c - 59 = -i. Let f = 37 + c. Calculate the remainder when f is divided by q(11).
2
Suppose 5 = 5*w + 2*o - 7, 0 = -5*w - 5*o. Suppose 0 = w*v - 3*b - 80, -2*v = -v - 2*b - 25. What is the remainder when 30 is divided by v?
13
Let j be (1*-3)/((-9)/78). Suppose 3*t + 4 + j = 0. Let p = 11 + t. What is the remainder when 1 is divided by p?
0
Let v = -21 + 34. Let f = 34 + -29. Suppose -f*b = -44 - 71. Calculate the remainder when b is divided by v.
10
Let f = -141 + 143. What is the remainder when ((-229)/3)/(f/(-6)) is divided by 58?
55
Let t(s) = s**3 + 7*s**2 + 8*s + 11. Suppose -2*f + 7*f + 25 = 0. Calculate the remainder when 41 is divided by t(f).
20
Let c(x) = -2*x**3 + 22*x**2 - 13*x + 6. Let q(v) = -v**2 + 6*v + 2. Let g be q(4). Calculate the remainder when c(g) is divided by 13.
11
Let k(p) = -p - 2. Let o(t) = -4*t - 3. Let l be o(-2). Suppose -4*u - 12 = 2*x, -l*u - 3*x = -9 + 22. What is the remainder when 7 is divided by k(u)?
1
Let i = -23 - -27. What is the remainder when i is divided by 2 + 2 + (18 - 18)?
0
Let b(p) = p**3 - 2*p**2 - 13*p + 5. What is the remainder when b(6) is divided by 24?
23
Suppose -5*i - 1 = -5*m + 9, -5*i - 4*m = 37. Let v(c) = -5*c - 15. Calculate the remainder when 29 is divided by v(i).
9
Let d = -161 - -186. Calculate the remainder when d is divided by 10.
5
Suppose 2*f + 4*w = -0*w + 440, 5*f = 3*w + 1035. Suppose 74*x = 69*x + f. What is the remainder when 167 is divided by x?
41
Let p = 15 - 3. Suppose 2*l - 2 = 0, 4*l + l = 3*c - 61. Calculate the remainder when c is divided by 54/p*(-12)/(-9).
4
Let f(i) = 2*i**3 + 60*i**2 + 2*i + 73. Calculate the remainder when 686 is divided by f(-30).
10
Let i(x) = 8*x**2 + 10*x + x**3 + 1 - 4 + 1 + x**2. Let l be i(-8). Let v = -7 - l. Calculate the remainder when 41 is divided by v.
8
Suppose 57 = -3*q - 4*s, s + 18 = 4*q + 113. Let m be (1 + 1)*(-1 + 10/4). What is the remainder when m/1 - (q - 8) is divided by 12?
10
Suppose 53 = -d - 59. Let a = -77 - d. Let k = 85 - 76. Calculate the remainder when a is divided by k.
8
Suppose i - 3 + 30 = 0. Let h = i + 39. Suppose 0 = -2*y - y + 63. What is the remainder when y is divided by h?
9
Let m(g) = 2*g - 36. Let r be m(15). Let t(j) = -j**3 - 5*j**2 - 16*j - 10. What is the remainder when t(r) is divided by 31?
29
Calculate the remainder when 72 + 2 - -1 - (-6 - -10) is divided by 18.
17
Suppose -144 = 9*m - 792. What is the remainder when m is divided by 17?
4
Suppose -4*x + 57 = 5*u - 63, 5*u - 5*x = 165. Calculate the remainder when 159 is divided by u.
19
Suppose -4*y + 27 = y - 2*j, -5*y - j = -39. Suppose y = 2*h - h. Calculate the remainder when 27 is divided by h.
6
Suppose -30 = -5*w + 4*i, -2*i = -3*i. What is the remainder when 35 is divided by (-3 - w)/3*-3?
8
Let b = 300 + -222. Calculate the remainder when 543 is divided by b.
75
Suppose 1582 = 22*y + 526. What is the remainder when 108 is divided by y?
12
Let s be ((-2)/(-10) + 1)/(2/5). Suppose -s*k + 14 = -22. What is the remainder when 46 is divided by k?
10
Let f be 5*(-18)/(-60) + 1/(-2). What is the remainder when 73 + -3 - (2 - f) is divided by 12?
9
Let t(n) = -n**2 - n + 11. Let q be t(5). Let p = q - -32. Suppose p*s + 88 = 17*s. Calculate the remainder when s is divided by 6.
4
Let s(l) = -l**3 + 11*l**2 - 9*l. Let r be (-66)/(-12) + (-5)/((-30)/(-9)). Calculate the remainder when s(r) is divided by 20.
16
Suppose -30 = -24*u + 18*u. Suppose -3*s = -u*s + 60. Suppose 2*z + 3*z - 5*l = 300, -5*z + 2*l + 291 = 0. Calculate the remainder when z is divided by s.
27
Let y = -5 - -16. Suppose 31*a - 28*a + h = 162, -3*a = 3*h - 168. Calculate the remainder when a is divided by y.
9
Let c = -1054 - -1062. Calculate the remainder when 84 is divided by c.
4
Let o = 2493 - 2342. What is the remainder when 331 is divided by o?
29
Suppose 20 = -3*v - 253. Let s = v + 117. What is the remainder when 93 is divided by s?
15
Suppose -12*y + 434 = 2. What is the remainder when 53 is divided by y?
17
Suppose -5*c - 2*t + 79 = 0, 3*c - 5*t = -9*t + 39. Suppose 0 = -3*k - 5*o + 34 + 4, 2*k = 5*o + c. What is the remainder when 14 is divided by k?
3
Suppose -22 = 3*x - 100. Let c = -96 + 98. Suppose -6*z + 616 = c*z. What is the remainder when z is divided by x?
25
Suppose 5 = -4*h + q, 5*q = -4*h + 2*q + 15. Let x be (5/2 + 1)*2. Suppose -4*b + 12 = -s, -x*s + 3*s = h. What is the remainder when b is divided by 2?
1
Let h = 55 - 71. What is the remainder when 111 is divided by h*(12/(-16) + -1 - 0)?
27
Suppose o - 25 = 5. Let p be (-1 + 0)*o/(-6). What is the remainder when 11 is divided by (14/(-6))/(p/(-15))?
4
Suppose 0 = -0*b - 8*b. Suppose 3*x + 159 = -b*u + 3*u, -3*u + 159 = x. What is the remainder when u is divided by 14?
11
Let s = 2 + -19. Let l = -13 - s. Calculate the remainder when l is divided by 3.
1
Suppose 0 = -9*g - 194 + 302. What is the remainder when 155 is divided by g?
11
Let x(s) = 3*s**2 + 5*s - 7. Suppose 0 = -l + h + 21, -7*l = -9*l - 4*h + 12. Calculate the remainder when x(-5) is divided by l.
11
Let r = 146 + -52. Let v = 112 + -108. What is the remainder when r is divided by v?
2
Suppose -3*c - 55 = -16. Let a = c + 27. Calculate the remainder when 95 is divided by a.
11
Let k(f) = -370*f + 75. What is the remainder when k(0) is divided by (1 - 0 - 2) + 12?
9
Let n be 26 + 16/(0 + 4). Suppose -i + 0*x = x - 16, -x = 2*i - n. Calculate the remainder when 27 is divided by i.
13
Let v = 38 + -17. Calculate the remainder when (6 + 588/(-30))/(4/(-10)) is divided by v.
13
Suppose f + 12 - 15 = 0. Suppose -5*p = 0, 0*n + f*n + 3*p = 0. Suppose 3*j - 16 - 71 = n. Calculate the remainder when j is divided by 6.
5
Let i = 94 - 80. Suppose r = 5*l + i, -3*r - 6*l = -2*l - 23. Calculate the remainder when r is divided by 4.
1
Suppose -5*h + v + 37 = -2*h, 5*v = -