
12
Let s = 296 - -220. What is the remainder when s is divided by 37?
35
Suppose 2*h - 4*k = 376, 0*h - 4*k = h - 182. Calculate the remainder when h is divided by 36.
6
Let i(w) = w**2 + 13*w + 13. Let p be i(-7). Let m = 32 + p. What is the remainder when 18 is divided by m?
0
Let k = 59 - 31. Let s = k + 8. Calculate the remainder when 143 is divided by s.
35
Suppose -109 = -3*g + 2*j, -g + 5*j + 33 = -12. Let b(x) = -x**3 - 3*x**2 + 2*x - 2. Let k = 1 - 5. What is the remainder when g is divided by b(k)?
5
Let h = -82 - -115. What is the remainder when h is divided by 3?
0
What is the remainder when -2 - (-16 - (-3 - 0)) is divided by (938/335)/(2/5 + 0)?
4
Let i(d) = d - 2. Let q = 1729 - 1714. What is the remainder when q is divided by i(5)?
0
Suppose 297 = 4*l + 5*g, 5*l + 0*l - 364 = g. What is the remainder when l is divided by 13?
8
Let r(i) = -94*i**3 + 2*i + 1. Let v be r(-1). Suppose -4*f = -87 - v. Let l = -49 + 73. What is the remainder when f is divided by l?
21
Let p(l) = 20*l**2 + 34*l. What is the remainder when p(-5) is divided by 111?
108
Let x = 269 - 143. Suppose 5*w = x - 16. What is the remainder when w is divided by 14?
8
Let x = 6 - 0. Let k = 497 - 483. Calculate the remainder when k is divided by x.
2
Let b = 626 - 599. What is the remainder when 185 is divided by b?
23
Let y(s) = -207*s - 24. Calculate the remainder when y(-1) is divided by 46.
45
Suppose -c - 2*c = -72. Suppose 10*a - 78 = 4*a. What is the remainder when c is divided by a?
11
Let k(g) = -g**2 + 5*g + 6. Let f be k(6). Suppose -48*x + 305 = -6*x - 31. Calculate the remainder when 27 + -2 + 3 + f is divided by x.
4
What is the remainder when 0 + 41 + (-450)/50 is divided by 13?
6
Let y(w) = 2*w + 11. Let j be y(-3). Suppose 0 + 2 = -i, -5*u = j*i - 300. Calculate the remainder when u is divided by 16.
14
Let j = -8 - -23. Let d(c) = c - 13. Calculate the remainder when d(j) is divided by 1.
0
Let o(y) = -4*y + 8. Let n be o(5). What is the remainder when (-624)/(-9) - n/18 is divided by 18?
16
Suppose 818*p - 820*p + 94 = 0. What is the remainder when 279 is divided by p?
44
Let b(x) = 2*x + 8. Let d be b(-3). Calculate the remainder when (-3)/6 + 295/d is divided by 37.
36
Suppose -2*r - 8 = 0, -3*r - 503 = -5*y - r. What is the remainder when y is divided by 38?
23
Suppose -5*z = 4*o - 40, -z + 4*z - 22 = -2*o. Suppose o*n + 0*n = 60. Let r(l) = -2*l - 10. Calculate the remainder when r(-16) is divided by n.
10
Let o(p) = -180*p**3 + p + 2. Calculate the remainder when o(-1) is divided by 23.
20
Let q = 12 - -59. Let p = q - 31. Suppose 0 = 3*n - 7*n + 28. What is the remainder when p is divided by n?
5
Suppose -2*q - 8 = -3*q. Let z(x) = 5*x - 17. What is the remainder when z(q) is divided by 13?
10
Let q = -186 + 230. Calculate the remainder when 568 is divided by q.
40
Suppose 2*g + 3*f - 6*f - 50 = 0, 0 = -5*g - f + 91. Suppose 5*i + 2*o - 661 = 0, -3*i + 62 + 343 = 4*o. What is the remainder when i is divided by g?
17
Let v(g) = g + 115. Suppose -11 = 6*h - 11. What is the remainder when v(h) is divided by 31?
22
Let g(k) = -5*k + 48. Let m(n) = -n**2 - 7*n + 7. Let s be m(-7). What is the remainder when 37 + (-1)/((-2)/2) is divided by g(s)?
12
Calculate the remainder when 20/(0 + 2)*(-44 + 51) is divided by 2.
0
Let k(y) = 10*y**2 - 6*y + 51. Calculate the remainder when k(5) is divided by 27.
1
Suppose -2*t - 3*n + 40 = 3*t, -40 = -5*t - n. Calculate the remainder when 15 is divided by t.
7
Suppose -231 = 2*y - 9*y. What is the remainder when 46 is divided by y?
13
Let r(d) = 2*d**2 + 36*d - 8. Calculate the remainder when r(6) is divided by 47.
45
Suppose 4*u = -7*t + 3000, 2*u - 1221 = 3*t + 253. Calculate the remainder when u is divided by 62.
61
Suppose 0 = -m + 4*m + 135. Let b = m - -75. Calculate the remainder when 263/3 + b/(-45) is divided by 30.
27
Suppose 3 = j - 0. Suppose 2*u - 14 = -3*d, 0 = j*d - 4*u + 5*u - 10. Suppose -2*n = 3*a - 82, -n + 10 = d*a - 46. What is the remainder when a is divided by 8?
6
Suppose -4*y + 0*y = 16, 0 = 3*a + 2*y - 175. What is the remainder when a is divided by 31?
30
Suppose 3*z - 5*z = -y - 42, 2*y = -4*z + 100. Let a = 25 - z. Suppose 0 = -4*q + a*n + 14, 3*n + 12 = 3*q - 0*n. What is the remainder when 10 is divided by q?
1
Let h = -74 - -76. What is the remainder when 99 is divided by (h/3)/(4/210)?
29
Suppose -217 = -2*o - 5*y - 20, o - 5*y - 106 = 0. What is the remainder when 502 is divided by o?
98
Suppose -4*q = -q - 81. Let a = -271 - -602. Suppose 4*j + 5*m - a = 0, 3*j + 4*m = 2*m + 243. What is the remainder when j is divided by q?
25
Suppose -114*u - 180 = -116*u. Let y = 27 - 4. What is the remainder when u is divided by y?
21
Suppose 4*l - 544 = 9*v - 12*v, -4*l = -2*v + 336. What is the remainder when v is divided by 54?
14
Suppose l = -2*l + 18. Suppose 3 = -l*m + 3*m, 2*g - 5*m = 63. Suppose 2*v - 22 = -0. What is the remainder when g is divided by v?
7
Let g be (-21)/12*(-32)/(-2). Let l = -1 - g. Suppose -5*n + l = 5*v - 3, -n = 4*v + 9. Calculate the remainder when 20 is divided by n.
9
Calculate the remainder when -2*(-1)/24 - 1396142/(-408) is divided by 25.
22
Let g(r) = -2*r + 37. Calculate the remainder when 32 is divided by g(12).
6
Suppose g = -4*g + 20, -2*g - 192 = -4*h. What is the remainder when h is divided by 6?
2
Let y = -19 + 7. Let f be (3/3)/(-3)*y. Suppose i - f - 31 = 0. What is the remainder when i is divided by 18?
17
Suppose -4*j + 241 = p + 13, 2*p + 4*j = 440. Calculate the remainder when p is divided by 88.
36
Suppose -h - 2*r = -4*h + 26, -4 = -2*h + 4*r. Suppose -7*f + h*f = 90. Let i = 91 - 56. Calculate the remainder when i is divided by f.
17
Let h = -63 - -70. What is the remainder when 326 is divided by h?
4
Suppose 11*g + 2026 = 269*g - 1586. Calculate the remainder when g is divided by -8*(-1*1)/2.
2
Suppose 0 = -14*a + 13*a + 13. Let r(m) = m**2 - 11*m + 17. Calculate the remainder when r(a) is divided by 23.
20
Let n be (-3)/(-15)*-4 + 720/25. Let s = -17 + n. What is the remainder when 20 is divided by s?
9
Let l(a) = -3*a**2 - 87*a + 8. What is the remainder when 95 is divided by l(-29)?
7
Let w be (3 - 0)/3 + -33. Let b = w + 38. Let h = -3 - -26. What is the remainder when h is divided by b?
5
Let s = -4 + 11. Suppose -s*x = 11 + 3. Let l(a) = 6*a**2 + a. Calculate the remainder when l(x) is divided by 13.
9
Let p(l) = 11*l**2 - 3*l - 2. What is the remainder when p(-2) is divided by 25?
23
Suppose -4*w + 1 = 1. Suppose -5*k + 201 = -w*k - 3*m, 5*k + 2*m = 216. Calculate the remainder when 123 is divided by k.
39
Let o(r) = 18*r - 3. Suppose -6*v = -42 - 12. Suppose -v*q = 2*q - 143. Calculate the remainder when o(3) is divided by q.
12
Suppose -5 = 5*p - 5*f, -p - 2*f = -f + 5. Let t(d) = d**2 + 2*d. Let u(a) = 155*a + 1711. What is the remainder when u(-11) is divided by t(p)?
0
What is the remainder when (-6 + 5)/(-1 + (-5)/(-130)*25) is divided by 4/(-10) - 84/(-10)?
2
Let m(q) = -q**3 + 14*q**2 + 15*q + 15. Let j be -2*((-11)/2 + -2). Let p(v) = -v**2 - 7*v + 6. Calculate the remainder when m(j) is divided by p(-7).
3
Suppose -84 = -11*q + 169. Calculate the remainder when 23 is divided by q.
0
Let u = 32 + -23. Suppose r - 5 = -3*k + 14, -r - k + u = 0. Suppose 4*m + 56 = r*d, 0 + 52 = 4*d - 5*m. Calculate the remainder when d is divided by 7.
4
Let n = 11 + -14. Let j(w) = -3*w**3 - 3*w**2 + 2*w - 2. Let s be j(n). Suppose 42 = 2*a - s. Calculate the remainder when a is divided by 9.
8
Let d = 83 + -8. Let l(y) = y**3 + 7*y**2 - 4*y - 8. Let r be l(-8). Let v = 66 + r. What is the remainder when d is divided by v?
23
Let f = 151 + -136. What is the remainder when 72 is divided by f?
12
Let s = -43 + 45. Calculate the remainder when (16 + s)*13/3 is divided by 20.
18
Calculate the remainder when 156 is divided by 5136/64 - 4/16.
76
Let m(i) be the third derivative of -i**6/120 + i**5/20 + i**4/6 + i**3/2 - 7*i**2. What is the remainder when 27 is divided by m(3)?
12
Let i(z) be the second derivative of -z**5/20 - 5*z**4/12 - 4*z**3/3 - 3*z**2 - 5*z. What is the remainder when 132 - (2 - (1 + 3)) is divided by i(-5)?
32
Suppose 51*d - 1428 = -17*d. Let a(b) = b**3 + b + 8. Calculate the remainder when d is divided by a(0)