r when x is divided by 30.
29
Suppose -29*v + 66 = -26*v - 2*w, -5*v = -5*w - 115. Calculate the remainder when 94 is divided by v.
14
Suppose -2*z - t = -47, -5*z - 2*t + 110 = 2*t. Let y = z - 24. Suppose 2*x - 4*u = -0*x + 68, 32 = y*x + 5*u. What is the remainder when x is divided by 14?
12
Let r = 1060 - 931. What is the remainder when r is divided by 54?
21
Suppose -875 = 55*r - 60*r. What is the remainder when r is divided by 46?
37
Let x = 5 + -8. Calculate the remainder when 33 is divided by -10*1/x*3.
3
Suppose -6*r - 39 = -201. What is the remainder when r is divided by 10?
7
Let d = 68 + -28. Let m = -2 + d. Suppose 0 = 3*j + 5*c - 146, -3*j - m = 3*c - 182. Calculate the remainder when j is divided by 16.
15
Suppose 4*d = -0*d - 72. Let w be 3/d + 38/12. Suppose -w*v = -5*v + 74. Calculate the remainder when v is divided by 13.
11
Let f = 73 - 46. What is the remainder when 45 is divided by 1*36*9/f?
9
Suppose 3*x = t - 3*t + 88, -t = -4*x - 55. Calculate the remainder when t is divided by 6.
5
Let k be (6/3)/((-2)/(-4)). Suppose 0*n - n = -3, 4*m = -5*n + 143. Suppose -3*x - 8 = -23, 4*x + m = k*l. What is the remainder when 25 is divided by l?
12
Suppose 0 = 4*c - 12, -9*c + 4*c - 575 = -5*x. Suppose 4*f - f + x = 5*a, -5*a - 5*f + 110 = 0. What is the remainder when 88 is divided by a?
19
Suppose -8*v = -0 - 8. Calculate the remainder when (v/2)/((-5)/(-940)) is divided by 32.
30
Suppose 2*g + 4*u - 7310 = 0, 10*u = g + 11*u - 3650. Calculate the remainder when g is divided by 32.
29
Let h = -2 - -2. Let i = 6 - h. What is the remainder when 45 is divided by 24*(3 + 0)/i?
9
Let y(w) = w**3 - 19*w**2 - 3*w + 82. Calculate the remainder when 131 is divided by y(19).
6
Let p(a) = -2*a - 8. Let u be p(-7). Let r = -4 + u. Suppose r*w - 38 = b - 5*b, 2*b - 95 = -5*w. Calculate the remainder when 55 is divided by w.
17
Let t be ((-116)/(-6))/(4/6). Let v = -2 + t. Let z(d) = d**2 - 29*d + 43. Calculate the remainder when v is divided by z(28).
12
Suppose 5*y = -4*k - 80, -k + y = -3*y + 20. Suppose -5*w + 4 = -q + 6, q = -w + 14. Calculate the remainder when ((-14)/4)/(2/k) is divided by q.
11
Let u(o) = -19*o + 765. Calculate the remainder when u(0) is divided by 16.
13
Suppose 7*p + j + 1274 = 12*p, 0 = -4*p - j + 1012. Calculate the remainder when p is divided by 64.
62
Let d(b) = 11*b**3 + 2*b**2 - 1. Let t be d(-1). Calculate the remainder when 2/((-7)/(245/t)) is divided by 3.
1
Suppose 0*s - 30 = -3*s. Suppose 46 + s = 4*x. What is the remainder when 123 is divided by x?
11
What is the remainder when 8/2 - ((-60)/(-2))/(-2) is divided by 10?
9
Suppose 0 = 14*z - 126 - 1078. Calculate the remainder when 327 is divided by z.
69
Let l = -28 - -23. What is the remainder when 2*(-2)/4*l is divided by 3?
2
Suppose 12*r - 56 = 10*r. Let y = 34 - r. Suppose -5*w = -2*z - 22, -3*w + z = y*z - 7. What is the remainder when w is divided by 1?
0
Let q = 92 + 14. Calculate the remainder when q is divided by 2 - 64/36 - 4920/(-216).
14
Suppose 9*i + 2568 = 33*i. Let p = 22 - -6. What is the remainder when i is divided by p?
23
Let b(y) = 2*y + 7. Let r be b(13). Suppose 0 = 29*q - r*q + 400. What is the remainder when q is divided by 17?
15
Suppose 4*a - 3*o = 1866, 4*o + 2133 - 269 = 4*a. What is the remainder when 127 is divided by a/(-27)*3/(-2)?
23
Suppose 6*g - 111 = 3*g. Suppose 5*y = 6*z - 3*z - g, 3*y - 69 = -3*z. Suppose 56 = 6*l - 5*l. Calculate the remainder when l is divided by z.
18
Suppose r + 11524 = 44*r. What is the remainder when r is divided by 68?
64
Let c(o) = 24*o + 2. Suppose 1130 = -7*d - 3*d. Let s = -96 - d. What is the remainder when c(2) is divided by s?
16
Suppose -17*m + 491 = -87. What is the remainder when 41 is divided by m?
7
Let i = -9 - -13. Let k = 0 - -11. What is the remainder when 2 - 38*i/(-8) is divided by k?
10
Suppose s = 7 - 15. Let p = -3 - s. Suppose -28 = j - 2*j + 3*u, p*j - 3*u - 92 = 0. What is the remainder when 45 is divided by j?
13
Let n = 2 + -3. Let w(m) = -73*m**3. Let z = -64 + 83. Calculate the remainder when w(n) is divided by z.
16
Suppose 5*f + 4*o = 815, 191 = f - o + 28. What is the remainder when f is divided by 83?
80
Let x(v) = -12*v + 2. Let l be x(10). Let c = 126 + -68. Calculate the remainder when c is divided by l/(-8) - 1/(-4).
13
Let s(v) = 3*v + 1. Suppose 2*t = 7 + 3. Let o be s(t). Suppose o = -2*f + u - 6*u, 4*u = 5*f - 26. Calculate the remainder when 4 is divided by f.
0
Calculate the remainder when ((-9)/6)/(-1 + 1002/1020) is divided by 22.
19
Let c = 664 - 637. What is the remainder when 80 is divided by c?
26
Let w(y) = 2*y. Let g be w(2). Let d = 5 - 0. Suppose -g*m = -4, -5*n + 22 = d*m - 43. Calculate the remainder when 34 is divided by n.
10
Suppose 5*t = 3*t + c - 204, 3*t + 4*c = -328. Let j = t - -153. What is the remainder when j is divided by (-159)/(-12) - (-2)/(-8)?
10
Suppose i + 47 = 49. Suppose -5*u - 2*c + 4 = -19, -3*c + i = u. Suppose -4*w = -w - 12. Calculate the remainder when u is divided by w.
1
Suppose 0 = -5*b + 3*h + h + 56, 3*b - 40 = 4*h. Let w(o) = 4*o - 6 + o - b*o + 5*o. What is the remainder when 11 is divided by w(5)?
3
Suppose -5*a - 10*a = -1110. What is the remainder when a is divided by 16?
10
Let o = 29 + -17. Suppose -7*u = -o*u + 30. What is the remainder when 40 is divided by u?
4
Let v = 95 - 87. Suppose -t + 38 = t + 2*b, -3*t + 85 = -4*b. What is the remainder when t is divided by v?
7
Suppose 0*q - 96 = -8*q. Let s = 66 + -19. What is the remainder when s is divided by q?
11
Suppose -39*b = -43*b + 3*o + 62, -58 = -4*b + o. Suppose 0*k - 4*k = -128. What is the remainder when b is divided by (-2)/10 - k/(-10)?
2
Suppose 0 = 20*r - 16*r - 44. Suppose 145 = r*p - 6*p. Calculate the remainder when p is divided by 12.
5
What is the remainder when 10 + (2 - (-603)/9) is divided by 28?
23
Calculate the remainder when (3 + 8)*(-1)/(3/(-18)) is divided by 64.
2
Suppose -2010*z - 36 = -2014*z. What is the remainder when 446 is divided by z?
5
Suppose -55*m + 54*m - 78 = 0. Let v = m - -104. Calculate the remainder when 95 is divided by v.
17
Let w = 239 + -203. What is the remainder when 431 is divided by w?
35
Suppose -2*u - 22 = -3*u. What is the remainder when u is divided by 11?
0
Suppose -3*f + 64 = 3*z - 101, 4*z + 3*f - 222 = 0. What is the remainder when 398 is divided by z?
56
Suppose 0 = 5*f - 2*f - 36. Let s = f + 22. Calculate the remainder when s is divided by 12.
10
Let l(a) = 47*a**2 + 1. Let k be l(1). Suppose -2*u + k = -28. What is the remainder when 73 is divided by u?
35
Let r(w) = -19*w**3 - w + 1 - 3 - w - w**2. Let d be r(-1). Calculate the remainder when (-4)/d - (-368)/36 is divided by 4.
2
What is the remainder when 110 is divided by 18224/612 - (-2)/9?
20
Suppose -22 = 2*l - 28. Suppose -1 = o + 3*q - 7, -l*q = 5*o - 78. What is the remainder when o is divided by 5?
3
Let o(f) = f**3 - 9*f**2 + 5*f - 214. Suppose 0 = -v + 5*y + 47, 1 + 4 = -5*y. Calculate the remainder when o(11) is divided by v.
41
Let z(v) = v**2 + 4*v - 12. Let o = 8 + -17. What is the remainder when z(o) is divided by 1/(10/15)*8?
9
Let r(t) = 3*t**3 + 2*t**2 - 6*t + 6. Calculate the remainder when r(2) is divided by 12.
2
Let a(k) be the second derivative of k**5/20 + 7*k**4/6 - k**3/6 - 6*k**2 - 8*k. What is the remainder when 4 is divided by a(-14)?
0
Suppose 4*r - 2*r - 20 = 3*x, 0 = 4*r + 5*x - 18. Suppose 0 = -4*w + r*w - 342. What is the remainder when w is divided by 39?
36
Suppose 0 = -2*j - 7 + 17, 3*j - 27 = -3*w. Let d = -12 - w. Let h = d + 28. What is the remainder when 46 is divided by h?
10
Let q(n) = n**3 - 6*n**2 - 6*n. Let s be q(8). Suppose -70*u = -74*u + s. What is the remainder when 79 is divided by u?
19
Suppose 50 = 7*k - 2*k. Suppose 0 = -d + 4*h + k, 2*d + 5*h + 8 = 2. Calculate the remainder when (d + -1)/(2/20) is divided by 7.
3
Calculate the remainder when (5 + -7)/6 + (-272)/(-6) is divided by 31.
14
Suppose -35*y + 3*y = -832. Calculate the remainder when 96 is divided by y.
18
Let z be 92/(-6) + 2/6. What is the remainder when (-36)/z*100/6 is divided by (4 + -2 + 9)/1?
7
Suppose 35*d - 37*d + 14 = 0. Suppose -c + 2 = -0*c. Let m = 4 - c. Calculate the remainder when d is divided by m.
1
