8. Calculate the remainder when 190 is divided by t.
43
Suppose 12*w - 2 = 11*w, 4*i = 2*w + 116. What is the remainder when i is divided by 10?
0
Let t(l) = 4*l + 7. Let p be t(-4). Let i = 37 + -52. Let u = p - i. What is the remainder when 17 is divided by u?
5
Suppose 1676 = 5*i + 806. Calculate the remainder when i is divided by 88.
86
Let k(q) = -3*q - 17. Let w be k(14). Let r = 118 + w. Calculate the remainder when r is divided by 21.
17
Suppose x + 32 + 6 = 0. What is the remainder when (-75)/30*x/5 is divided by 3?
1
Calculate the remainder when 136 is divided by 1/((-7)/(-147)) - 7.
10
Suppose -v = 0, 24*m = 22*m - v + 116. Calculate the remainder when 65 is divided by m.
7
Suppose -2*n + 4*u = n - 8, -4*u = -n. Suppose -r = z - 31, -5*z - 17 = n*r - 174. Calculate the remainder when z is divided by 18.
15
Let t(f) = 5*f**3 - 6*f + 1. Let y(l) = 16*l**3 - 17*l + 2. Let o(q) = -8*t(q) + 3*y(q). What is the remainder when o(3) is divided by 23?
21
Let o = -36 + 90. Suppose -143 = 23*g - 28*g + 4*d, -d = 2*g - 65. What is the remainder when o is divided by g?
23
Let f(b) = -36*b - 4. Let p be 3/5 + 108/20 + -7. Let k = -21 + 32. What is the remainder when f(p) is divided by k?
10
Suppose 867 = -8*x + 11*x. Calculate the remainder when x is divided by 29.
28
Suppose 0 = -4*p + 4 + 32. Calculate the remainder when 80 is divided by p.
8
Let h(x) = -172*x + 7. Let p be h(-6). Suppose -6*t + p = 67. What is the remainder when t is divided by 41?
39
Suppose -5*t + 9 = -21. Let j = 43 - t. Suppose 10 = -2*a + 3*a. Calculate the remainder when j is divided by a.
7
Let x be -3*(1 - (-1)/3). Let r(u) = -u + 1. Suppose 4*b + 82 - 114 = 0. What is the remainder when b is divided by r(x)?
3
Suppose -1962 = -41*k + 35*k. Suppose 0 = 3*i + 6*j - 2*j - k, 3*i = j + 312. Calculate the remainder when i is divided by 27.
24
Let p(s) = 17*s - 44. What is the remainder when p(10) is divided by 68?
58
Let c = -6885 - -6938. What is the remainder when c is divided by 5 + 2 + (-4)/2?
3
Let a = -164 - -168. Suppose 2*o - 3*w = a*o - 19, 4*o - 35 = -3*w. Let s = 21 + -6. Calculate the remainder when s is divided by o.
7
Suppose -3 = -b + 5*a, -3*b + a = -0*a - 9. Suppose 0*l = -b*l - 3. Calculate the remainder when 58 is divided by 21/(l/(-1)) - 1.
18
Suppose 0*i = 25*i - 125. Calculate the remainder when 228 is divided by i.
3
Suppose -5*d + 65 = 10. Suppose 0 = -102*r + 79 + 252 - 25. What is the remainder when d is divided by r?
2
Suppose 2 = -y - j - 1, 0 = -4*y + 4*j - 52. Let z(u) = -10*u - 7. What is the remainder when z(y) is divided by 19?
16
Let j(y) = 168*y + 1280. Let u(c) = -8*c - 61. Let x(f) = -3*j(f) - 64*u(f). Suppose -w + 88 = 3*w. Calculate the remainder when w is divided by x(-7).
6
Let n(v) = 12*v + 5. Let t be n(4). Suppose t = 4*r - 27. Suppose 2 = k - 5. What is the remainder when r is divided by k?
6
Let z(h) = 2*h**2 + 6*h - 2. Let r be z(9). Let f = r + -7. Calculate the remainder when f is divided by 35.
32
Suppose 11*v = 430 + 98. Suppose 4*h - 3*o = -3, 4*h - 2*o - 2 + 0 = 0. Suppose -h*k + 70 = s, 0*s - 15 = 3*s. What is the remainder when v is divided by k?
23
Let g(y) = -58*y - 156. Calculate the remainder when 64 is divided by g(-3).
10
Suppose 0 = -4*g - 5*o - 817, -772 = -2*g + 6*g - 4*o. What is the remainder when 22 is divided by ((-1)/(-2))/((-11)/g)?
4
Calculate the remainder when 5 + 4/(-8)*-86 is divided by 3.
0
Suppose -96*d + 103*d = 56. Suppose 12 = -4*a + 8*a. What is the remainder when d is divided by a?
2
Let p = 49 + -71. Let g = p - -51. Calculate the remainder when g is divided by 9.
2
Suppose 4*y = 2*l - 54, 5*l - 5*y = 99 + 56. Suppose 4*u + 3*w = 51, 0*w + 5*w - 29 = -2*u. Calculate the remainder when l is divided by u.
11
Let z(k) = k**3 - 14*k**2 + 23*k + 27. Calculate the remainder when 42 is divided by z(12).
12
Suppose 5*s + 2*y + 5 = 0, -s = -2*s - 2*y - 9. Calculate the remainder when (-248)/(-6) - s/(-12)*-4 is divided by 12.
5
Let u be -249*(5 + 80/(-15)). Suppose 5*i - i - u = n, -2*i - 5*n + 25 = 0. Calculate the remainder when i is divided by 7.
6
Suppose 13*d + 1027 - 2145 = 0. Calculate the remainder when d is divided by 11.
9
Let l = -97 - -189. Calculate the remainder when l is divided by (-162)/(-4)*(-6)/(-9).
11
Suppose 1 - 3 = s, -2*q - 6 = s. Let w = 20 + q. What is the remainder when w is divided by 10/1*(-1 - -2)?
8
What is the remainder when (-4)/22 - (-4 - (-4226)/(-11)) is divided by 13?
11
Calculate the remainder when (0 + -2)/((-146)/8833) is divided by 9.
4
Let o = -23 + 40. Calculate the remainder when o is divided by 2.
1
Let t = 16 + 30. Let d = t + -20. Let u = d + -5. Calculate the remainder when u is divided by 8.
5
Let p(z) = -8*z**3 - 63*z**2 + 9*z + 13. What is the remainder when 121 is divided by p(-8)?
1
Suppose y = i - 20, 2*i - 5*y + 4*y = 37. Let q = -20 + i. What is the remainder when (-5 - q)*13/(-2) is divided by 7?
6
Calculate the remainder when 8/((-80)/125)*(-176)/10 is divided by 13.
12
Let r(c) = -5*c - 9*c**2 - 3 + c + 12*c**2. Suppose -8*a = -3*a - 50. Calculate the remainder when r(4) is divided by a.
9
Let j = 96 - 103. Let q(u) = u + 2. What is the remainder when (-1 - 72/j) + 4/(-14) is divided by q(3)?
4
Suppose 6 = 2*t - 30. Suppose 30*s = 74*s + 220. Let m = t + s. What is the remainder when m is divided by 8?
5
Let p = -40 - -25. Let r = p - -30. What is the remainder when 133 is divided by r?
13
Suppose 10*o - 22*o + 1248 = 0. What is the remainder when o is divided by 21?
20
Let f(q) = 2*q - 13. Let s be f(2). Let v(c) = -11*c + 17. Calculate the remainder when v(s) is divided by 39.
38
Suppose 24*l + 45 = 27*l. Calculate the remainder when 17 is divided by l.
2
Let l(x) = -5*x - 11. Let i be l(5). Let s = 11 - i. What is the remainder when s is divided by 17?
13
Let i = 16 - 8. Suppose -4*m - 5*t = i, m = -3*t + t - 5. What is the remainder when 8 is divided by m?
2
Suppose 72 = 3*g - 3*b, -38*g + b = -35*g - 64. Calculate the remainder when 167 is divided by g.
7
Let t(l) = -78*l - 825. Calculate the remainder when t(-11) is divided by 10.
3
Suppose -2*g - 112 - 110 = 0. Let o = g + 130. Suppose 4*b = 4, 6*s - 3*s - 17 = -2*b. Calculate the remainder when o is divided by s.
4
Suppose 3*c + 2*h + 78 = 623, 5*c - 915 = -5*h. What is the remainder when c is divided by 107?
72
Suppose -3*f + 1343 = 2*p, p + f - 669 = -3*f. Calculate the remainder when p is divided by 25.
23
Let h = -2 + 2. Let s = 7 + h. Calculate the remainder when (-3 + -3)*(-3 - -1) is divided by s.
5
Let b = -78 - -123. What is the remainder when 199 is divided by b?
19
Let p = -45 - -65. Suppose -2903 = -20*d - 523. What is the remainder when d is divided by p?
19
Let g = -5 + 3. Let k(m) = 5*m**2 - 3*m - 4. Let s = -14 - -22. What is the remainder when k(g) is divided by s?
6
Let h = -116 - -120. What is the remainder when 105 is divided by h/18 + 2420/45?
51
Let k be (3 - -8)*13 + 3. Suppose -p - p = -k. Calculate the remainder when p is divided by 15.
13
Let q = -1103 + 1136. What is the remainder when 107 is divided by q?
8
Let x = 86 + -75. Let v(r) = r + 10. Let g be v(0). Suppose m - 41 + g = 0. Calculate the remainder when m is divided by x.
9
Suppose -14 = -x - k, 8 = -2*x - 4*k + 38. Calculate the remainder when 0 + 10*2 + 1 is divided by x.
8
Let y = -159 - -433. What is the remainder when y is divided by 71?
61
Suppose -33 - 27 = -3*g. Suppose 4*l + g = 3*l. Let c = l + 24. What is the remainder when 13 is divided by c?
1
Let n(v) = 44*v**2 - 2*v - 3. What is the remainder when n(-1) is divided by 23?
20
Let j(d) = -d**3 + 7*d**2 + 1. Let m be j(7). Let n = m + 5. What is the remainder when 38 is divided by (8/6)/(n/45)?
8
Let a(m) = -4*m**3 + 2*m + 3. Calculate the remainder when 83 is divided by a(-2).
21
What is the remainder when -2 + 7 + -3 + 45 is divided by 22?
3
Let u = -60 + 62. What is the remainder when u - (4*-29 - 1) is divided by 24?
23
Suppose 7*f + 36 = f. Calculate the remainder when 50 is divided by ((-2)/6)/(f + (-4365)/(-729)).
23
Suppose -2*a = 57 - 93. Suppose -4*q + 6 = -q. Suppose -q*b = b - a. What is the remainder when 9 is divided by b?
3
Suppose -3*z = -7*z + 16. Calculate the remainder when ((-208)/(-39) + -9)*(-14 + 2) is divided b