ded by s.
1
Let k be 3/(-2)*1/(6/(-16)). Suppose 0 = -5*b + 4*m + 494, -b + 101 = -k*m + m. What is the remainder when b is divided by 20?
18
Suppose 3*y - 510 = 3*v, -9*y + 5*y + 3*v = -681. Calculate the remainder when y is divided by 50.
21
Let o = -7 - -11. Suppose -o*k = 90 - 14. Let n = k + 22. What is the remainder when n is divided by 2?
1
Suppose -36 = -5*m - 4*x, -4*m - 4*x + 26 = -6. Suppose 8 = m*s, -3*z + 6*z = 5*s + 11. Calculate the remainder when 27 is divided by z.
6
Let m be 8 + (2 - 1 - 2). Let l be (7 - m)/(1*-4). Suppose l = 2*k - 7 - 3. What is the remainder when 8 is divided by k?
3
Let i(o) = 25*o**2 - o - 1. Calculate the remainder when 204/4 - 3/1 is divided by i(-1).
23
Let y(w) = -w + 8. Suppose -3*v = -v - 5*u - 143, -5*v + 344 = u. What is the remainder when v is divided by y(-11)?
12
Let b = 1298 - 849. Calculate the remainder when b is divided by 42.
29
Let l = 22 - 20. Suppose 4*z + 6 = l*b, -b + 6*b - 5*z = 35. What is the remainder when b is divided by 7?
4
Let j be 2/(-2)*1 - -3. Let n be (-4)/(-18) - 272/(-72). Suppose -n - j = -w. Calculate the remainder when 15 is divided by w.
3
Suppose 20*a - 273 = -3*j + 19*a, 0 = j - 4*a - 78. Calculate the remainder when j is divided by 16.
10
Let b be -1 + 1/(-1) - -6. Suppose w = -0*w + u, u + 9 = b*w. Calculate the remainder when (1 - 4)/(2/(-6)) is divided by w.
0
Let x = 2 - -5. Let f(s) be the first derivative of s**4/4 - 2*s**3 + s**2 + 4*s - 6. What is the remainder when f(x) is divided by 23?
21
Let q = 59 - -8. Calculate the remainder when q is divided by 8.
3
Suppose 0*l = -l + 57. Suppose 3*w - 4*q - 74 = 0, l + 40 = 4*w - 5*q. Suppose -b = b - w. Calculate the remainder when 15 is divided by b.
6
Suppose 4*s - 7*s = 0. Suppose -4*y - y + 10 = s. Suppose -5*c + 51 = 4*m, 5*c - 6 = -y*m + 47. Calculate the remainder when c is divided by 3.
2
What is the remainder when ((-11)/2 - -2)*(-4344)/28 is divided by 8?
7
Let j(h) = h**3 - 9*h**2 - 9*h - 8. Suppose 2*n + 10 = 3*n. Let f be j(n). Calculate the remainder when 43 is divided by 14 - (-1 + (f - 2)).
13
Let u(n) be the first derivative of n**4/4 - 5*n**3/3 + 3*n**2 - 20*n - 24. What is the remainder when 23 is divided by u(5)?
3
Let r(v) = -9*v - 35 + 2 + 5*v + 3*v. Let x be r(0). Let z = 57 + x. What is the remainder when 71 is divided by z?
23
Suppose -f + 50 = 4*f. What is the remainder when 69*(11/(-3) - -4) - 5 is divided by f?
8
Let m(w) = -2*w + 35. Let l be m(14). Suppose l*z = 4*z + 105. What is the remainder when z is divided by 45*(-1)/((-10)/4)?
17
Let p(s) = 2*s**2 + s - 34. Suppose 6*o = o + 75. What is the remainder when p(-8) is divided by o?
11
Let p(t) = t - 18. Let g be p(-16). Let o = g + 38. Calculate the remainder when o is divided by 3.
1
Let p(w) = 4*w - 2. What is the remainder when p(15) is divided by (2/(-4))/(3/(-72))?
10
Let c(l) = l**2 - 6*l - 36. Let h = -48 - -69. Calculate the remainder when h is divided by c(-4).
1
Let f be (-20)/(-16) - 140/(-16). What is the remainder when 504/60*f/3 is divided by 18?
10
Calculate the remainder when 182 is divided by (-488)/12*54/(-36).
60
Suppose -i - 4*f + 3 = 0, -3*i + 5*f = -0*f - 9. Suppose 0 = -l + i, -129 = -5*m - 3*l. What is the remainder when m is divided by 7?
3
Let d(t) = 448*t**2 + 3*t - 2. Let b be d(2). Calculate the remainder when (3 - (-31)/(-11)) + b/44 is divided by 11.
8
Let x = 1021 + -998. Suppose 4*a + 1 = g + 19, 3*g = -5*a + 31. What is the remainder when x is divided by 25/2 + g/4?
10
Let m be (-102)/(-10) + 1/(-5). Suppose -70 = -5*y + m. Calculate the remainder when 46 is divided by y.
14
Calculate the remainder when 145 is divided by ((-4)/7)/((-10)/665).
31
Let t be 208/(-2)*(-5)/10. Calculate the remainder when 144 is divided by t + -1*(-2 - -5).
46
Suppose 5*b - k = 4*k + 85, 0 = 3*b - k - 43. What is the remainder when 76 is divided by b?
11
Let k(n) be the second derivative of -n**5/20 - 7*n**4/6 + 2*n**3 - 13*n**2 + 10*n. Calculate the remainder when 36 is divided by k(-15).
17
Let j be 3/2 + (-1883)/(-14) + 6. Suppose g - j = -g. What is the remainder when g is divided by (-220)/(-6) - (-3)/9?
34
Calculate the remainder when (-4)/(-18) - (-13)/(117/430) is divided by ((-3)/2)/(6/(-104)).
22
Let u = 272 - 242. Calculate the remainder when u is divided by 17.
13
Let b(u) = u**2 - 19*u + 91. Calculate the remainder when 38 is divided by b(15).
7
Suppose 0 = -0*b + 3*b + 60. Let f = 14 + b. Calculate the remainder when 69 is divided by (-28)/f*3 - -4.
15
Let h(u) = 9*u**2 - 342*u + 384. Let j be 14/(-6) - (-2)/6. Let c = j + 29. What is the remainder when h(37) is divided by c?
24
Let j(z) = z**2 - 15*z + 31. Suppose 65 = 3*u + 2*u + 2*i, -3*i = 0. Let n(h) = 2*h**2 - 7*h - 2. What is the remainder when n(5) is divided by j(u)?
3
Let w = 18 - -176. What is the remainder when w is divided by 33?
29
Suppose 5*d - 68 = -4*z, 3*z + 2*d = 36 + 8. Calculate the remainder when z is divided by 3.
0
Let j be ((-6)/(-15))/(2/(-20)). Suppose 2*l - 6 = 0, 4*b - 2*l = 12 + 2. Calculate the remainder when j/10 + 126/15 is divided by b.
3
Let y = -9 + 8. Let k be 140 + y + (3 - 2). Suppose 5*z = -3*h + 144, -5*z = -10*z - 5*h + k. Calculate the remainder when z is divided by 11.
8
Let m(j) = -j**2 - 24*j - 44. Let g be m(-10). Let w = 3 + 3. Suppose 56 = 4*c + 4*i, w*i = 4*c + 2*i - g. Calculate the remainder when 37 is divided by c.
18
Let h = 43 + 31. Let x = h - 31. What is the remainder when 214 is divided by x?
42
Suppose f + 4 = -6*j + 3*j, -2*f + 27 = -j. Let o = f - 7. Suppose 2*q - o*q + 12 = 0. Calculate the remainder when 23 is divided by q.
5
Suppose 27 = -4*a - c, -2*c + 5*c - 31 = 4*a. Calculate the remainder when 43 is divided by a/((-63)/(-132))*6/(-4).
21
Suppose -256 + 2557 = 13*h. Calculate the remainder when h is divided by 47.
36
Suppose 0 = h + 1, -32 = -y - 5*h + 4*h. Suppose -4 = -2*l - 2. What is the remainder when y is divided by 8/(-6) + l + 224/24?
6
Suppose -3*l + 48 = -0*l. Suppose f = 3*a + l, 2*f = 3*f + a. Suppose -3*g + 4*m + 17 = 0, f*g - 4*m + 5 - 25 = 0. What is the remainder when 8 is divided by g?
2
Let w = -73 + 97. Suppose -5*d - 50 = -5*u, 5*u + 2*d = 40 + w. Calculate the remainder when 57 is divided by u.
9
Calculate the remainder when 151 is divided by 20/(-8) + (-328)/(-16).
7
Suppose -14 = 2*u - 2. What is the remainder when 39 is divided by (2/(-3))/(u/90)?
9
Let x be (-1)/4 - 75/(-60). Let m be -2 + (107 - (-1)/x). Let l = m + -74. Calculate the remainder when l is divided by 7.
4
Let l(y) = -5 + y + 4 - 7 + 20. Calculate the remainder when 16 is divided by l(-3).
7
Let z be (4/(-3))/((-8)/12). Suppose -v = 2*n - 106, -2*v = -z*n + 80 + 32. Suppose -3*b - n = -5*b. What is the remainder when b is divided by 15?
12
Suppose d - n = 67, 0 = -5*d - 3*n + 88 + 199. Let b(u) = 13*u**2. Let f be b(2). Suppose 2*a - f = -2*a. Calculate the remainder when d is divided by a.
9
Let t be 5/10*(1 - -1). Let g(v) = 11*v**2 + 4*v + 1. Let i(w) = -w**2 - w - 1. Let a(c) = t*g(c) + 2*i(c). What is the remainder when a(2) is divided by 10?
9
Calculate the remainder when (-251 + -1)*15/(-30) is divided by 26.
22
Let b(v) = -v**3 + 11*v**2 + 31*v - 44. What is the remainder when 112 is divided by b(13)?
7
Suppose 1448 = 4*o + 4*n, -o - 3*n = -8*n - 356. What is the remainder when o is divided by 13?
10
What is the remainder when 538 is divided by ((-18)/(-4))/(59/236)?
16
What is the remainder when 397 is divided by (-42)/(-378) - (-521)/9?
49
Let d(z) = z**3 + 7*z**2 - 10*z - 6. Suppose 5*n + 40 = -0*n. What is the remainder when 29 is divided by d(n)?
9
Suppose 4*a - 2453 = -0*a - 3*u, 3*u = -5*a + 3064. What is the remainder when a is divided by 17?
16
Suppose 0 = 16*y - 748 + 92. Calculate the remainder when 44 is divided by y.
3
Suppose -3534 + 573 = -21*p. Calculate the remainder when p is divided by 38.
27
Suppose -3*q + 3*o - 7 = -631, -5*o + 1090 = 5*q. What is the remainder when q is divided by 78?
57
Suppose 4*g - 376 - 72 = 0. Let x = g + -18. What is the remainder when x is divided by 19?
18
Suppose 4*s - 90 = 2*j, -j = -3*s + 10 + 59. Let r(o) = -3*o + 8. Let w be r(-3). Let g = s - w. What is the remainder when 12 is divided by g?
5
Let h(j) = j**3 - 13*j**2 - 2*j + 38. W