*u + 2995 - 11311. Calculate the remainder when u is divided by 8.
5
Let s = 2 + -11. Let q = s - -67. What is the remainder when q is divided by 13 + 0 + (-6 - -9)?
10
What is the remainder when 145 is divided by 137/3 + -3*(-2)/18?
7
Let l = 153 - 87. Suppose 230 = 2*r - l. Calculate the remainder when r is divided by 15.
13
Let y(i) = -7*i**2 + 6*i + 6. Let p be y(-4). Suppose 3*a - 30 = 36. What is the remainder when 2/13 + (-8430)/p is divided by a?
21
Let k = -34 + 47. Let t = 17 - 15. Suppose 2*m + 3*j = 57, 3*m - t*j - 18 = 2*m. What is the remainder when m is divided by k?
11
Suppose 3*o - 310 = 10*w - 15*w, 2*w - 103 = 3*o. What is the remainder when 226 is divided by w?
49
Let h be -4*(5 + 66/(-12)). Suppose -4 - 34 = -h*y. What is the remainder when 37 is divided by y?
18
Let m = -10 + 0. Calculate the remainder when 19 is divided by -3 + 6*m/(-6).
5
Suppose 2*b = 4*t + 114, -b - 3*b + 201 = t. Calculate the remainder when b is divided by -7 + 6 + 27/(-9) - -15.
7
Let x = -33 - -35. Suppose x*z - 2*f - 196 = 0, 2*z - 63 = -f + 118. What is the remainder when z is divided by 24?
21
Suppose 2*w + 8 = 0, o - 4*w = -3*w + 23. Let d = 44 - o. Calculate the remainder when 46 is divided by d.
21
Suppose 4*z = -3*a + 4*a - 112, 5*a - 535 = -5*z. What is the remainder when a is divided by 5?
3
Let g be (-72)/(-20)*(1 - -9). Let w = g - 21. What is the remainder when 41 is divided by w?
11
What is the remainder when -3*4/(-30) - 1329/(-15) is divided by 9?
8
Suppose 322 = -5*j - 83. Suppose -84 = -4*k + 388. Let z = k + j. Calculate the remainder when z is divided by 13.
11
Let t = 4 - 2. Suppose 2*z + 296 = 4*u, 4*u + 0*u = -z + 296. Suppose t*a = -0*a + u. Calculate the remainder when a is divided by 13.
11
Suppose 3*r - 11 = 13. Let p = r - 5. Calculate the remainder when 7 + p + 0 + 0 is divided by 4.
2
Let y = -136 - -252. Calculate the remainder when y is divided by 31.
23
Let p(d) = 2*d + 29. Suppose 5*b - 25 = 10*b. Let l(j) = j + 14. Let o(c) = b*l(c) + 3*p(c). What is the remainder when o(0) is divided by 10?
7
Suppose 152 + 203 = -69*r + 1942. Suppose 2*n = -m + 2*m + 112, 0 = -3*n - 2*m + 154. What is the remainder when n is divided by r?
8
Let c = 141 - 773. Let b = -407 - c. What is the remainder when b is divided by 19?
16
Let f = 134 + -120. Calculate the remainder when f is divided by 11.
3
Suppose 0 = -25*f + 745 + 1105. Calculate the remainder when f is divided by 22.
8
Let o(c) = -6*c**3 - 4*c + 1. Suppose 3*w - 6 = 3*a + 2*a, -12 = 4*w. Let m be o(a). Suppose m = -4*b + 9*b. What is the remainder when b is divided by 18?
17
Suppose -5*n = p + 27, 5*n - 5*p + 3 = -12. What is the remainder when 1/((-1)/n + 86/(-480)) is divided by 13?
9
Let h(q) = q**3 + 12*q**2 - 4*q - 34. Calculate the remainder when h(-12) is divided by 6.
2
Suppose 4*m - 34 = -3*z + z, 0 = 2*m - 4*z - 22. What is the remainder when 33 is divided by m?
6
Let a(z) = 90*z**2 + z. Let m be a(1). Let i be (-14)/m - (-724)/(-26). What is the remainder when -1 - 1 - (i - 1) is divided by 10?
7
Suppose d - 3*q = 284, 3*q - 2*q + 4 = 0. Calculate the remainder when d is divided by 57.
44
Suppose 0 = -2*v + 4*v + 24. Let q = v - -3. Let j = -8 - q. Calculate the remainder when 3 is divided by j.
0
Let c = 82 - 77. Calculate the remainder when 52 is divided by c.
2
Let g(n) = 2*n - 15. Let w be g(14). Suppose -4 = j - w. What is the remainder when j is divided by 6?
3
Suppose 51*d = 34*d + 136. Calculate the remainder when 45 is divided by d.
5
Suppose -t - 74 = -20. Let c be t/(-14) - 5/(-35). Suppose -2 = s - 0, -4*l - c*s + 340 = 0. What is the remainder when l is divided by 22?
21
Suppose 4*x - 4 = 3*f + f, -3*x + 15 = 0. Suppose 0 = 3*o - 6, 3*g - f*o - 1 + 9 = 0. Calculate the remainder when 47 + (g/(-4) - 1) is divided by 16.
14
Let q = 799 + -407. Calculate the remainder when q is divided by 135.
122
Calculate the remainder when 27 is divided by (2/6)/(10/30).
0
Let p(u) = -u**2 + 9*u + 15. Let l = -3 + 14. Let k = -4 + l. Calculate the remainder when k is divided by p(10).
2
Suppose 4*m - 5*a - 4 = 6, 0 = 2*m - 3*a - 4. What is the remainder when 78 is divided by 1/((-20)/(-804)) + (-1)/m?
38
Suppose 268 = -d + 5*d. Let x be ((-24)/(-30))/(0 - (-4)/10). Suppose -x*l = -3*l + 4*v + 1, -5*v + 88 = 4*l. Calculate the remainder when d is divided by l.
16
Let q = 10 - 29. Let f = -9 - q. What is the remainder when 38 is divided by f?
8
Suppose 0 = -4*m - 3*s + s + 350, -4*m + 2*s + 370 = 0. Let f(u) = -31*u**3 - u**2 + 1. Calculate the remainder when m is divided by f(-1).
28
Suppose -4*m + 26 - 6 = 0. Suppose 30 = q + q + 2*f, 78 = m*q + 4*f. What is the remainder when q is divided by 4?
2
Calculate the remainder when 178 is divided by (-6 - -8 - -2)*(-77)/(-7).
2
What is the remainder when 204 is divided by (-2)/15 - 31668/(-585)?
42
Suppose -2 + 22 = 4*q. Suppose 0*l = q*l - 220. Let i(k) = -k**3 + 7*k**2 - 8*k - 1. What is the remainder when l is divided by i(4)?
14
Let w = -130 + 147. What is the remainder when 22 is divided by w?
5
Suppose -1115 = 5*q - 0*q. Let o = q - -361. Calculate the remainder when o is divided by 14.
12
Let p(b) = 22*b - 567. What is the remainder when p(30) is divided by 29?
6
Suppose 59*k = -14*k + 1606. Calculate the remainder when 45 is divided by k.
1
Suppose -2*h + 113 = 5*x, 5*h + 7*x - 275 = 2*x. What is the remainder when 213 is divided by h?
51
Suppose -3*h + 16 = 5*k, h + h - 5*k = -6. Suppose 0 = -h*s - s - 84. Calculate the remainder when 1 - (s - 3)*1 is divided by 11.
10
Let m = -644 + 694. What is the remainder when 175 is divided by m?
25
Let k = 129 + 21. What is the remainder when k is divided by 53?
44
Let c(u) = -u - 2. Let q be c(-7). Suppose x - 74 = -g, 2*x - q*g - 110 = 17. What is the remainder when x is divided by 12?
11
Let o(w) be the first derivative of -w**4/4 + 14*w**3/3 - 13*w**2/2 - 18*w - 3. Let u be o(13). Let m = u + 23. Calculate the remainder when 7 is divided by m.
2
What is the remainder when 452 is divided by ((-8)/(-6))/(-5 - 1148/(-228))?
34
Let b(j) = j**2 - 12*j + 7. Let d be b(12). Let q = 2 + d. Calculate the remainder when 16 is divided by q.
7
Let v(p) = -p**2 + 24*p + 29. Let r(z) = 7*z - 21. Let g be r(6). What is the remainder when v(g) is divided by 24?
20
Suppose 25*s = 19*s. Let d(k) = 2*k + 66. Calculate the remainder when d(s) is divided by 34.
32
What is the remainder when 224/7*(-21)/(-28) is divided by 2?
0
Let h be 2/(-1)*1017/18. Let f = h - -132. What is the remainder when 90 is divided by f?
14
Let l(o) = o + 15. What is the remainder when -4*9/(-24)*(-68)/(-3) is divided by l(-8)?
6
Suppose 64*i = 55*i + 2367. Calculate the remainder when i is divided by 19.
16
What is the remainder when 173 is divided by (-1)/(-2)*(-2064)/(-24)?
1
Let c = 18 + -7. Let f(z) = -7*z**2 + 40*z - 5. Calculate the remainder when f(5) is divided by c.
9
What is the remainder when (-207)/(-6)*(4 + -3 + 1) is divided by 91/5 + (-1)/5?
15
Suppose 10*r - 3*g = 13*r - 372, r - g = 120. What is the remainder when r is divided by 55?
12
Suppose 19 = 2*y + 5*b, -5*y + b - 15 = -7*y. Suppose 28 = 5*f + n, -3*f - 4*n + 30 - 3 = 0. Calculate the remainder when y is divided by f.
2
Suppose -11*o + 7*o + 265 = q, 2*o = -2*q + 140. Calculate the remainder when o is divided by 57.
8
Let h(f) = 2*f**2 + 7*f + 5. Let j be h(-4). Calculate the remainder when 7 is divided by (j/(-3) + 2)*-2.
1
Let j(x) = -2*x + 31. Calculate the remainder when 273 is divided by j(3).
23
Suppose 25*k - 2612 = 3763. What is the remainder when 257 is divided by k?
2
Let l(d) = 44*d - 38. Calculate the remainder when l(6) is divided by 11.
6
Suppose 2*y + 7 = 11. Suppose 3*c = y*t + 104, c - 4*t = 49 - 1. Let r = -26 + c. What is the remainder when r is divided by 4?
2
Let r(n) = n**2 - 9*n - 7. Suppose 3*b + 13 - 34 = 0. Suppose 3*d - b*d + 12 = 0. What is the remainder when d is divided by r(10)?
0
Suppose -3*j + 3*a + 315 = 0, 0*j - 4*j + 434 = 3*a. Let x = 251 - j. Suppose z + x = 5*z. Calculate the remainder when z is divided by 10.
6
Suppose -8*u - 908 = -11*u + h, 4*h + 1511 = 5*u. Calculate the remainder when u is divided by 38.
37
Suppose -2*p + 0*p - 4*m = -220, 0 = -3*m + 6. Let a(f) = -2*f**2 + 33*f + 6. What