the remainder when r is divided by 6.
4
Suppose 2*l + 86 = 32. Let i = 45 + l. What is the remainder when 50 is divided by i?
14
Let s = 64 + -54. Let j = 11 + -7. Calculate the remainder when s is divided by j.
2
Let p = -12 - -15. Suppose -28 = -p*h - 4*d, 0 = 4*d - 4. Let j(k) = 3*k - 5. What is the remainder when j(12) is divided by h?
7
Let l be ((-2)/(-3))/((12/531)/2). Suppose -5*g + 5*o + 175 = 0, -5*g + 146 = 5*o - l. What is the remainder when g is divided by 14?
10
Let o(f) = -57*f + 50. Let y be o(4). Let u = 189 + y. What is the remainder when 43/3*3/1 is divided by u?
10
Let o(q) = -q**3 + 5*q**2 + 6*q + 1. What is the remainder when o(5) is divided by 11?
9
Let u = -6 - 120. Let f = -76 - u. Let y = -23 + 36. What is the remainder when f is divided by y?
11
Let k = 123 + -107. What is the remainder when 32 is divided by k/(-24) + 272/12?
10
Let l = 15 + -1. Let c = l + -4. Suppose -12 = -47*h + 46*h + 2*a, 69 = 4*h - a. What is the remainder when h is divided by c?
8
Suppose 5 = z - 0. Let j(m) = 4*m**2 + 119*m + 88. Calculate the remainder when j(-30) is divided by z.
3
Suppose 11 = 4*i + 3*t, -3*i + 31 = -4*t + 4. Suppose 0 = -3*b - 23 + 95. Calculate the remainder when b is divided by i.
4
Let m(t) = t - 24. Let r be m(24). Suppose r = -16*d + 11*d + 130. Calculate the remainder when 102 is divided by d.
24
Let v(q) = -q**3 - 6*q**2 - 4*q + 5. Suppose 6 + 9 = -3*k. Let j be v(k). Suppose 0 = -l - j*l + 28. Calculate the remainder when 109 is divided by l.
25
Let j(s) = s - 4. Let h be j(8). Suppose 5*q + h*l - 1253 = -0*l, -5*q - 3*l = -1251. What is the remainder when q is divided by 25?
24
Let z(m) = -m**2 + 7*m + 1. Let x(a) = 16*a**2 - 6*a - 8 - 17*a**2 + 18*a. Calculate the remainder when z(6) is divided by x(11).
1
Let w(p) = p + 7. Let q be w(-4). Let s be (-4)/(2/(-81)*q). Suppose -3*a + s = m - 7*a, -3*m + 5*a = -162. Calculate the remainder when m is divided by 14.
12
Let j(o) = -10*o + 81. Calculate the remainder when j(6) is divided by 13.
8
Let j = -65 + 68. Suppose 0 = -j*k - k + 48. What is the remainder when 57 is divided by k?
9
What is the remainder when ((-2)/3 - (-4784)/138) + -4 is divided by (-22)/((-1 - 1)/1)?
8
Suppose 51*j - 1275 - 1581 = 0. Calculate the remainder when 667 is divided by j.
51
Let x = 465 - 215. Calculate the remainder when x is divided by 36.
34
Let b(s) = 12*s - 2. Let n(c) = 35*c - 5. Let r(v) = -11*b(v) + 4*n(v). Let a = 40 + -38. Calculate the remainder when 69 is divided by r(a).
15
Let n(a) = 98*a - 1. Let i be n(-1). Suppose -5*g = -4*y + 120, 5*y - 3*g = 4*y + 23. What is the remainder when 0/2 - -3 - i is divided by y?
32
Let v(l) = -l**3 - 35*l**2 - 84*l - 171. Calculate the remainder when v(-33) is divided by 142.
139
Let b(i) = -i**2 + 6*i - 6. Let g be b(3). Calculate the remainder when (-2 - -113)*(-2 + g) is divided by 16.
15
Let c be (1/(-3))/(0 + 6/(-36)). Calculate the remainder when (c*3)/(16 + -11)*10 is divided by 2.
0
What is the remainder when 319 is divided by -3*2/(-6) - (-7 - 11)?
15
Suppose 9 = 3*u + 5*o, -10*u = -6*u - 5*o - 47. What is the remainder when 25 is divided by u?
1
Suppose 3*x + 63 - 504 = 0. Let z = x + -87. Calculate the remainder when z is divided by 31.
29
Suppose 396 = 15*n - 459. Suppose 3*g = -0*g + j + 111, -4*g + 4*j = -140. Let c = n - g. Calculate the remainder when 54 is divided by c.
16
Let b = -251 - -174. Let f = b + 86. What is the remainder when 51 is divided by f?
6
Suppose -39*r = -42*r - 33. What is the remainder when 67 is divided by (2 + -1)*(r + 21)?
7
Let b(t) = 8*t**2 + 12*t - 19. Calculate the remainder when b(3) is divided by 16.
9
Let k(m) = m**2 - 11*m - 21. Suppose -13 = -2*u + 13. Calculate the remainder when 14 is divided by k(u).
4
Let z(s) = 207*s**3 + 1. What is the remainder when z(1) is divided by 107?
101
Let l(j) = -j**3 - 42*j**2 - 54*j - 240. What is the remainder when l(-41) is divided by 123?
47
Let u = -93 - -107. Calculate the remainder when 1286 is divided by u.
12
Let a be (-5)/(-5)*(-3)/(-3) - -4. Suppose 4*n - a*z - 182 = 0, n = 6*n + 3*z - 246. Calculate the remainder when n is divided by 25.
23
Let r(h) = 4*h**3 + 4*h**2 - 8*h + 20. What is the remainder when r(4) is divided by 8?
4
Let q = 135 + -66. Calculate the remainder when 205 is divided by q.
67
Suppose 14 = 3*s + 5*x - 5, x = 2*s - 4. Suppose 2*g - 7 = s*g. Calculate the remainder when 118 is divided by (g + 6/3)*-6.
28
Suppose 0*d + 4*d = 36. Let q be -1*3*(-6)/d. Suppose -54 = q*n - 5*n. What is the remainder when 32 is divided by n?
14
Let t(x) = 4*x**2 + x - 19. Let h(v) = -3*v**2 + 20. Let m(l) = 5*h(l) + 4*t(l). What is the remainder when m(-13) is divided by 24?
21
Let v(o) = o**3 + 11*o**2 - 12*o + 9. Let d be v(-12). Let l = 6 + d. Let j(s) = s**2 + 5*s - 6. What is the remainder when j(5) is divided by l?
14
Calculate the remainder when 150 is divided by 10/(-30) - (1 + (-344)/6).
38
Let m(b) = -25*b - 338. Let t = 7 + -3. Calculate the remainder when m(-14) is divided by t.
0
Let n(x) = -x**2 + 29. Let a(c) = -53*c + 441. What is the remainder when n(0) is divided by a(8)?
12
Let d(m) = 0*m**2 + 6*m**2 - 5*m + 0 - 3 + 7*m**2. Calculate the remainder when 67 is divided by d(-1).
7
Suppose -4*x - x + 10 = 0. Let h = -111 + 112. Calculate the remainder when (x - 3)*h*-25 is divided by 7.
4
Suppose -144 = -4*z - h, -5*z + 3*z - 3*h + 72 = 0. Calculate the remainder when 50 is divided by z.
14
Suppose 4*d + o - 224 = 0, -5*o - 82 + 26 = -d. What is the remainder when d is divided by 19?
18
Let h = 563 + -516. What is the remainder when 555 is divided by h?
38
Calculate the remainder when 15 is divided by (-5)/(-4) + 12/16.
1
Let p(y) = 2*y + 10. Let d be p(5). Suppose 2*j - 3*s = d, j + 5*s - 35 - 1 = 0. What is the remainder when 294/10 - 4/10 is divided by j?
13
Suppose 0 = f + 1, 0*o - o - 5*f + 13 = 0. Calculate the remainder when (-6)/2*(-564)/o is divided by (-34)/(-272) - (-4)/(128/764).
22
Let a(c) be the first derivative of -c**4/4 + 10. What is the remainder when 46 is divided by a(-2)?
6
Let f be (1/(-2))/(1/(-46)). Let n = f + -8. Let l = 825 + -816. Calculate the remainder when n is divided by l.
6
Let a = 28 - 10. Let o = 6713 + -6679. Calculate the remainder when o is divided by a.
16
Let o = 8 + 24. Suppose 2*v = -w + 14, 4*w + 20 = 4*v + 2*w. What is the remainder when o is divided by v?
2
What is the remainder when 49 is divided by (68/4)/((-8)/(-8))?
15
Suppose -z = 3*z - 116. Let p = -5 + 10. Suppose p*n - m = 43, 0 = -0*n + n - 4*m - 20. What is the remainder when z is divided by n?
5
Suppose -3*b = h + b - 2, 6 = -h + 4*b. Suppose 24 = 10*u - 76. What is the remainder when h*57/(-6) + -2 is divided by u?
7
Let t(a) = 4*a**2 - 2. Let l be ((-4)/6)/(4/12). Let r be t(l). Calculate the remainder when 906/r + 8/28 is divided by 22.
21
Let x(h) = 6*h - 126. What is the remainder when 50 is divided by x(28)?
8
Suppose -3*z - 51 + 63 = 0. Suppose 4*x - 46 = u, 4*x - 33 = -3*u + 5. Calculate the remainder when x is divided by z.
3
Suppose 8 = -5*v + 33. Suppose 5*i - i - 138 = 2*f, 5*i = -v*f + 210. What is the remainder when i is divided by 20?
17
Let z(p) = 12*p**2 + 44*p + 167. What is the remainder when z(-4) is divided by 39?
27
What is the remainder when 115*(-1 + (1 - -5 - 4)) is divided by 29?
28
Let s(r) = 5*r - 6. What is the remainder when 3/(-6) - 7550/(-100) is divided by s(5)?
18
Let n be 8/(-12) - 159/(-9). Let b = n - -1. What is the remainder when b is divided by 4?
2
Let a(m) = 2*m**2 - 21*m - 2. Calculate the remainder when 439 is divided by a(12).
31
Suppose 0 = l + 5*d - 39, 2*d - 4*d = -5*l + 114. What is the remainder when 47 is divided by l?
23
Suppose -3*h - t + 139 = -75, -296 = -4*h + 4*t. Suppose 20*v = 22*v - h. What is the remainder when v is divided by 13?
10
Let b = 293 - 152. Suppose 0 = 3*j - 5*j + 2*c + 108, 4*c - b = -3*j. Let a(z) = 5*z**2 - 2. What is the remainder when j is divided by a(-2)?
15
Let n(a) = -27*a. What is the remainder when 41 is divided by n(-1)?
14
Let f = 8 - -3. Suppose 0 = 3*t - 15, v - 7*t - 17 = -2*t. Calculate the remainder when v is divided by f.
9
Let w = 14 + -18. Let u(j) = -j**3 - j**2 + 3. Calculate the remainder when -183*(w/12 + 0) is divided