 Let j be y(2). Suppose 5*s = j*s - 15. Calculate the remainder when 13 is divided by s.
1
Suppose 0 = 3*x - 0*x - 306. Suppose 0*b = 5*i - 4*b - 100, 0 = -2*i - 4*b + 40. Let r = 46 - i. What is the remainder when x is divided by r?
24
Suppose 13*c + 18 = 14*c. Calculate the remainder when 7 is divided by ((-14)/(-21))/(2/c).
1
Let r = -14 - -80. Let w be 252/r + (-2)/(-11). Suppose w*n = -0*n + 156. Calculate the remainder when n is divided by 10.
9
Suppose 537 + 53 = 5*s. Let u = s - 27. Calculate the remainder when 6162/u + 2/7 is divided by 23.
22
Let l(q) = -32*q**2 + q - 4. Let z be l(2). What is the remainder when z/(-1) + (-8)/8 is divided by 45?
39
Let w = 936 + -908. Calculate the remainder when 52 is divided by w.
24
Let k = -111 - -158. Let o(f) = 7*f + 7. Let h(z) = 13*z + 14. Let g(w) = 4*h(w) - 7*o(w). What is the remainder when k is divided by g(3)?
15
Suppose -181 = 15*v - 2491. Calculate the remainder when 179 is divided by v.
25
Let g = 1183 - 1065. What is the remainder when 227 is divided by g?
109
Suppose -5*j - 84 = -7*j. Let g be (-1 - 2 - -24)*-1. Let r = j + g. Calculate the remainder when 39 is divided by r.
18
Suppose 0 = -4*d + 9*d - 80. Suppose 4*v + 0*a = 2*a + 48, -4*a + d = 0. What is the remainder when v is divided by 8?
6
Let t(b) = 5*b - 2*b - 3*b**2 - 5*b - 3*b**3 - 2. Let a(k) = -52*k + 1. Calculate the remainder when a(-1) is divided by t(-2).
11
Let q be 264/21 + 12/(-21). Suppose -q*n = -15*n + 246. What is the remainder when n is divided by 42?
40
Let n(m) = -23*m - 3. Suppose -3*g + p = 4*p + 6, 5*g + p = -14. Suppose b + 2*l = 24, -b + 0*l = 5*l - 9. Calculate the remainder when n(g) is divided by b.
32
Let q = -279 + 448. What is the remainder when q is divided by 43?
40
Suppose 13*s - 2*s - 143 = 0. Suppose 7*d - s*d + 132 = 0. Calculate the remainder when 63 is divided by d.
19
Let i = -145 - -203. Let y = 67 - i. Suppose 0 = 2*f - 30 - 72. What is the remainder when f is divided by y?
6
Let r = 31 - 29. Suppose 35 = -r*b + 4*b + h, -5*b - h + 86 = 0. Calculate the remainder when 49 is divided by b.
15
Let l be 5 + -3 + 2/(4/6). Suppose -l*i = 4*o + 5 - 49, 5*i = 2*o + 8. Calculate the remainder when 40 is divided by o.
4
Let t = -395 - -424. What is the remainder when 197 is divided by t?
23
Let b = -11 - -16. Suppose -d + 3*d - 320 = 0. Suppose -b*w + 2*j = -j - d, 4*j + 49 = w. What is the remainder when w is divided by 10?
9
Let u = 622 + -1482. Calculate the remainder when u/(-16) + (-9)/12 is divided by 11.
9
Let n(z) = z**2 + 3*z - 6 + 10 + 6 + 3. Calculate the remainder when 62 is divided by n(-3).
10
Let m(v) = -3*v**3 + 20*v**2 - 5*v + 6. What is the remainder when m(6) is divided by 23?
2
Let a(l) = -l + 377. Calculate the remainder when a(-67) is divided by 7.
3
Let x be ((2 - 0) + -2)*1. Suppose 4*h - 4 = -x*s - 4*s, -3*s - 9 = -h. Let i = -40 - -45. Calculate the remainder when i is divided by h.
2
Suppose -4*h - h + 1100 = 0. Let f = 402 - h. Suppose 5*b - f = 18. Calculate the remainder when b is divided by 14.
12
Let s be (2 + 6)/4*6. Let u = s - 11. Calculate the remainder when 9 is divided by (-10*u)/((-10)/5).
4
Suppose 0 = -4*l + a + 333, 3*a = 5*l - 2*a - 435. Let v = 356 + -213. Calculate the remainder when l is divided by 1 + (-6)/14 - v/(-7).
19
Let y(a) = -a**3 + 23*a**2 - 23*a + 30. What is the remainder when 44/5*50/20 is divided by y(22)?
6
Suppose 16*x - 588 = -76. What is the remainder when x is divided by 9?
5
What is the remainder when ((-1)/(-2))/((-16 + -1)/(-884)) is divided by 3?
2
Let j(z) = z**2 + 5*z - 2. Let l be j(-8). Suppose 5*u = -2*q + l, -u = 2*u - 6. What is the remainder when (1 - 39/q)*-2 is divided by 7?
4
Let g(c) = 2*c**2 + 10*c - 17. Let l be g(-7). Suppose l*j - 73 = 169. Calculate the remainder when 61 is divided by j.
17
Let d = -358 - -387. What is the remainder when 47 is divided by d?
18
Let s(a) = 45*a**2 + 5*a - 3. What is the remainder when 150 is divided by s(1)?
9
Suppose 5*o - 10 = 10. Suppose -4*f - 2*v = -26, 2*f - o*v = -v - 7. What is the remainder when 11 is divided by f?
3
Suppose 6*p - p = 270. Let k be p/1 - (-5 - -2). What is the remainder when 32 is divided by (k - 3)*4/12?
14
Let n be (-1 + 2)*(21 + 1). Let u(k) = 35*k - 150. Let m be u(10). Calculate the remainder when n/33 + m/6 is divided by 12.
10
Let i = 637 + -212. Calculate the remainder when i is divided by 39.
35
Suppose 2*o + 324 = 4*a, -278 = -3*a + 5*o - 42. Let n = 15 - 3. Suppose 10*g = n*g - 56. What is the remainder when a is divided by g?
26
Let i be (-12)/5 - (-2)/5. Let n(h) = -12*h**2 - 4*h + 16. Let s be n(2). Calculate the remainder when 22 is divided by s/(-10) - (i + -1).
1
Let y = 126 + -212. Let z = -55 - y. What is the remainder when 122 is divided by z?
29
Let r(q) = -q**3 - 7*q**2 - 19*q - 6. What is the remainder when 36 is divided by r(-2)?
0
Suppose -12*j + 2024 = 440. Calculate the remainder when j is divided by 9.
6
Let j be 7*(-13)/(273/(-18)). What is the remainder when (2/j)/((-20)/(-2280)) is divided by 10?
8
Suppose 116 = 3*j - 187. What is the remainder when j is divided by 85?
16
Let y(w) = 27*w**2 + 2*w + 1. Suppose 5*p + 2 = 22. Suppose 0 = -p*z + 3*z + 2. What is the remainder when y(z) is divided by 29?
26
Let m be (-15)/(-10) - (-20)/(-8). Calculate the remainder when m/(-5) + (-3228)/(-60) is divided by 4/6 - (-80)/6.
12
Suppose -3*u + 112 = u. Suppose 4*b - 4 = 4. Suppose 5*g + 3*h = -b*h + 45, g - 12 = -4*h. Calculate the remainder when u is divided by g.
4
Suppose -5*v + 4*v = -2. Suppose 3*j = -v*j + 15. Let q = j - -6. Calculate the remainder when 33 is divided by q.
6
Let u be (18/(-4) + 1)*56/(-49). Suppose 2*n = 6*n - 3*r - 95, 2*n - u*r = 50. What is the remainder when 38 is divided by n?
15
Let u(g) = g**3 - 3*g**2 + 6*g - 5. Suppose -8 = -5*m + 4*w + 15, 4*m = 3*w + 18. Calculate the remainder when 50 is divided by u(m).
11
Suppose -9*w = 15*w - 3960. What is the remainder when w is divided by 29?
20
Suppose 0 = 14*k - 19*k. Let j(l) = -2*l - 69. Let x be j(k). What is the remainder when 48 is divided by -2 - (x/3 + -4)?
23
What is the remainder when 76 is divided by -1 + 2 + 60/10?
6
Let y(a) = a**2 - 2*a - 3. Let v = -115 + 107. Calculate the remainder when y(-6) is divided by 18/6*v/(-2).
9
Suppose -4*x - 60 = -5*x. Suppose -387 = -5*s - p, -295 = -3*s - 2*p - x. What is the remainder when s is divided by 10?
7
Let d = 6 - -1. Suppose -20 = -6*c + 4. Calculate the remainder when d is divided by c.
3
Let h = -46 - -122. What is the remainder when 150 is divided by h?
74
Suppose -3*f - 195 = -3*h, 0 = f + 4 - 2. What is the remainder when h is divided by 3 - (-3 + 6 + 4*-2)?
7
Suppose -4*n = -56 - 36. Calculate the remainder when 436 is divided by n.
22
Suppose -67 = -3*l - 2*l + 3*c, -l = -5*c - 9. Suppose 6*b = b - 30. Calculate the remainder when 8/12*(-369)/b is divided by l.
13
Calculate the remainder when -2*(-1 + (-476)/8) is divided by 18.
13
Let b(y) = -13*y + 213. Calculate the remainder when 69 is divided by b(15).
15
Suppose 3*p - 2*t = 43, -24 = -2*p - 2*t - 2. What is the remainder when 318 is divided by p?
6
Suppose 1177 = 12*w + 253. Let d = w + -48. Let f(t) = -2*t - 8. Calculate the remainder when d is divided by f(-8).
5
Let c(j) = j**2 - 6*j - 1. Suppose 1 = 3*a - 23. Let i be c(a). Let t(q) = q**2 - 14*q + 11. What is the remainder when 51 is divided by t(i)?
25
Suppose 245*w - 260*w + 150 = 0. Let a = 122 + -84. Calculate the remainder when a is divided by w.
8
Let a = -1207 - -1234. Let t(l) be the first derivative of -l**2 + 2*l + 1. Calculate the remainder when a is divided by t(-6).
13
Let p(x) = 5*x**2 - 3*x - 3. Let k(f) = -f**2 + f + 1. Let z(l) = -6*k(l) - p(l). Let g = -6 + 2. What is the remainder when z(g) is divided by 7?
4
Suppose -5*x = -57 + 22. Suppose 3*k - 14 = x. Suppose -17 = p + 4*i, i + 0 = 5*p - 20. What is the remainder when k is divided by p?
1
Suppose 0 = -9*p + 10*p - 5*r - 35, -2*r = -p + 35. Let f = 366 + -193. What is the remainder when f is divided by p?
33
Suppose 3*v + v = 3*h + 488, 4*v - 5*h = 488. What is the remainder when v is divided by 5/(-15)*-3 + 40?
40
Let n(u) = 1. Let f(s) = 15*s - 12. Let h(m) = f(m) + 3*n(m). Calculate the remainder when 17