by m(n).
1
Let s(p) = 2*p - 11. Let b be s(8). Suppose 0 = -13*a + b*a + 160. What is the remainder when (1 - 2)*-78 + 1 is divided by a?
19
Suppose -2*o - o - 30 = 0. Let x = 49 + o. Let w = 43 - x. What is the remainder when 8 is divided by w?
0
Suppose -3*v = -4*v - 5. Suppose -11*d = -18 - 48. What is the remainder when 27 is divided by -2 + d - (v - -2)?
6
Let t = -19 + 9. Let l be (-2)/(-6) - 210/9. Let h = t - l. Calculate the remainder when h is divided by 7.
6
Suppose 3*f - 24 = -0*c + 5*c, 4*c = 2*f - 18. Suppose -32 = s + f*n - 168, 3*n = s - 160. Calculate the remainder when s is divided by 30.
28
Let n be (2*-7)/(1/(-2)). Suppose 3*b + 5*t = n, b + 2*t + t - 12 = 0. Calculate the remainder when (5*1)/(-2 - (-28)/12) is divided by b.
3
Let k be (2 + 0)*(-4)/8. Let h = -19 + 21. Let j = h + k. What is the remainder when 2 is divided by j?
0
Let m(o) = 2*o**2 - 11*o + 11. What is the remainder when 188/10 - 16/20 is divided by m(5)?
0
Let c(b) = -b**3 - 3*b**2 + 2*b - 10. Let q be c(-7). Suppose -10 = -2*h, o + o + 2*h = q. What is the remainder when o is divided by 14?
11
Let d = 22 - 13. Let m(p) = -p**3 - 3*p**2 + 2*p - 1. Calculate the remainder when (-20)/90 + 164/d is divided by m(-4).
4
Let i be 30/4*12/18. Let o = -2 - i. What is the remainder when 28 is divided by (o - -4)*(-5)/1?
13
Let i(m) = m**3 + 4*m**2 - 14*m + 5. Let p be i(-6). Let b(o) = o**2 - 16*o - 11. Suppose 4*j - 1 - 11 = 0. Calculate the remainder when b(p) is divided by j.
0
Let d(u) = -53*u**3 - 3*u - 3. Calculate the remainder when 230 is divided by d(-1).
18
Suppose -6*h = -2*h + 4*n - 64, 5*n = 3*h - 8. Let r(z) = -1 + 3*z**2 + 12*z - 4*z**2 - 1. What is the remainder when r(8) is divided by h?
8
Suppose m - 5*j - 316 = -2*m, 495 = 5*m - 2*j. Calculate the remainder when m is divided by 50.
47
Let t(z) = 17*z + 9. Let y be t(3). Suppose 3*k - y = 4*l, 0 = -6*k + k + 5*l + 100. Calculate the remainder when k is divided by 3.
2
Let z be 5/3 + (-2)/(-6). Suppose 33 = 2*h + 3*t - 8, 5*h - 107 = -3*t. Calculate the remainder when h is divided by ((-36)/(-21))/(z/14).
10
What is the remainder when 28 is divided by 0 - (10/5 - 17) - -5?
8
Let g = 16 - 4. Let m = g - -11. Suppose -4*u + u + 140 = -5*t, 4*u - 4*t - 184 = 0. Calculate the remainder when u is divided by m.
22
Suppose -2904 = -157*t + 124*t. Suppose 5*u = -0*u + 65. Calculate the remainder when t is divided by u.
10
Let n(q) = 2*q - 2. Let c be n(3). Suppose 2*x - c*x + 28 = 2*p, 2*x = -10. What is the remainder when p is divided by (-4)/(-10)*(63 - 43)?
3
Suppose 194 = r + f, 2*r + 171 = -f + 558. Suppose -3*j + 74 + r = 0. Let x = 202 - 179. What is the remainder when j is divided by x?
20
Let v = 16 + -15. Calculate the remainder when 11 is divided by 1/(-3)*v*-21.
4
What is the remainder when (1 + -45)*408/(-96) is divided by 27?
25
Let m = 21 - 13. Let d be (0 + -1)/(2/(-216)*2). What is the remainder when d/(-15)*225/(-18) is divided by m?
5
Let p = -1328 - -1332. Let a be 0 - 0 - 0 - -20. Suppose 2*n - 28 = -2*z, -4*z + 3*n = -a - 1. Calculate the remainder when z is divided by p.
1
Let n(o) = -o**3 + 3*o**2 + 5*o + 3. Calculate the remainder when (-3)/5*(-53 - 2) is divided by n(4).
5
Let h(o) = -10*o - 1 - 11*o + 7*o. Let s(i) = i. Let l(z) = -h(z) - s(z). Calculate the remainder when l(1) is divided by 5.
4
Suppose t - 13 = -3*h, -2*h + t + 6 = -1. Suppose 5*v = h*v + 19. What is the remainder when v is divided by 10?
9
Suppose 124 - 4 = 15*n. Let a = n + -6. What is the remainder when a is divided by 1?
0
Suppose -5*l + 46 = -59. Suppose 0 = -u - 2*k, 8*u - 36 = 4*u + k. Calculate the remainder when l is divided by u.
5
Suppose -11*c = -7*c - 248. Suppose -18 = 5*l + c. Calculate the remainder when 73 is divided by (-300)/l + 4/16.
16
Suppose 223 = 12*t - 101. Calculate the remainder when 76 is divided by t.
22
Let n be (-1)/3*3*-2. Suppose 35 = 5*v - 4*v. Suppose v = n*u - u. Calculate the remainder when u is divided by 12.
11
Let h be 2/13 + (-6)/39. Suppose h = f + 3 - 23. What is the remainder when 39 is divided by f?
19
Let x = -49 - -51. Suppose 5*g = 10, 0*g + 32 = f + x*g. Suppose 5*c - 73 = 197. What is the remainder when c is divided by f?
26
Suppose -2*w + 90 = -5*b, -b + 0 = -2*w + 90. Calculate the remainder when w is divided by 6.
3
What is the remainder when 264 is divided by 4/(((-4)/86)/(-1))?
6
Suppose -5*d = 4*c - 135, -2*c - 4*d + 140 = 2*c. Calculate the remainder when c is divided by 13.
1
Suppose -2*b + 8 + 4 = 0. Suppose -2*r + 4*q = -b*r + 452, -q + 223 = 2*r. Calculate the remainder when r is divided by 28.
26
Suppose 5*f - 345 = 5*b, 2*b = -f + 4*b + 67. Let q = -1367 - -1385. Calculate the remainder when f is divided by q.
17
Suppose s = 2*s - 12. Suppose 4*q + 12 = 0, -4*f - 1 - 2 = q. Suppose 20 - 118 = -5*v - 4*o, -4*v + o + 91 = f. Calculate the remainder when v is divided by s.
10
Let h = 6 - -1. Suppose -3*m = -h - 119. Suppose 0 = -4*k + 10 + 34. Calculate the remainder when m is divided by k.
9
Suppose 41*r - 44*r = -768. Calculate the remainder when r is divided by 19.
9
What is the remainder when -11*(-1 - -2)*-9 is divided by 28?
15
Suppose 24*g = 381 + 771. What is the remainder when 156 is divided by g?
12
Suppose -3*k = -38 - 58. Suppose k*z - 37*z = -755. What is the remainder when z is divided by 19?
18
Suppose 0 = 5*a + 3*x - 30 - 1, 2*a - x = 8. Let o(h) = -3*h + 9. Let v be o(a). Let l(q) = 3*q**2 + 8*q - 5. What is the remainder when l(v) is divided by 19?
17
Suppose -h + 7 = -0*h. Let b(k) = -k**2 + 5*k + 8. Let l be b(6). Suppose 0*u + 2*v - 2 = l*u, 2*u + 2*v = 18. What is the remainder when h is divided by u?
3
Suppose -2*f + 14 = -40. What is the remainder when (-109)/(-2)*2 + -1 + -3 is divided by f?
24
Let g = -640 - -673. Calculate the remainder when g is divided by 12.
9
Let r = 22 + -27. Let q = r + 193. What is the remainder when q is divided by 21?
20
Let a = 83 + -56. Let i = 151 - 133. Calculate the remainder when a is divided by i.
9
Suppose -40*m - 13 = -41*m. Suppose m + 23 = p. What is the remainder when 70 is divided by p?
34
Let y(n) = 7*n**2 + 2*n. Suppose 6*f - 4 = 2*f. What is the remainder when -2*((-14)/4)/f is divided by y(-1)?
2
Suppose -4*i + 0*y + 126 = 2*y, 3*i - 84 = 2*y. Calculate the remainder when 97 is divided by i.
7
Suppose -639 = -5*r + 191. Calculate the remainder when r is divided by 23.
5
Suppose 0 = 6*f - 839 + 245. Let m = 177 - f. What is the remainder when m is divided by 15*((-36)/(-10))/2?
24
Suppose 20*x - 1555 = 2205. What is the remainder when x is divided by 9?
8
Let b = -193 - -240. What is the remainder when b is divided by 16?
15
Let n be -1 + 0 - (-102 + 9). Suppose 24 = -2*o + n. What is the remainder when 133 is divided by o?
31
Let s be 6/(-4 + 19/4). Suppose 4*d - 5*p = 62, 5*p = s + 2. What is the remainder when d is divided by 7?
4
Let r(d) = -3*d. Let y be r(-6). Suppose 2*g = y + 8. What is the remainder when (-350)/7*2/(-2) is divided by g?
11
Let g(m) = 2*m**3 - 3*m + 3. Let s = 10415 + -10408. What is the remainder when g(2) is divided by s?
6
Suppose -2*n = -n - 130. What is the remainder when 86 is divided by n/5 - -2*2?
26
Let o(q) = -42*q + 35. What is the remainder when o(-17) is divided by 15?
14
Let r = 62 + -38. Suppose -h - 10 = -2*w, 5*w - 2*h - r = h. Calculate the remainder when 13 is divided by w.
1
Let x be (-8 - 2)*((-78)/12 + 3). Suppose f = 3*v - 5, 0 = 4*f + f + 4*v + 82. Let o = f + x. Calculate the remainder when o is divided by 8.
5
Suppose 356 = 2*x + 20. Calculate the remainder when x is divided by 37.
20
Let y(x) = -7*x - 26. Suppose 3*p - 37 + 4 = -i, -5*i - 15 = -3*p. What is the remainder when y(-9) is divided by p?
7
Suppose 0 = -23*j + 22*j - 5*w + 62, -3*j - 2*w + 134 = 0. What is the remainder when 116 is divided by j?
32
Let y = -640 - -1078. Suppose -19*h + y + 341 = 0. What is the remainder when 163 is divided by h?
40
Let m(p) = p**3 - 22*p**2 - 46*p - 32. Calculate the remainder when m(24) is divided by 12.
4
Let w = 880 + -872. What is the remainder when 278 is divided by w?
6
Let w = 5 + 1. Let m(l) = 6*l - 17. What is the remainder when m(w) is divided by 12?
7
Let l be 40/60*258/(-4). Let v = -10 - l. What is the remainder when v is