11
Let h(n) = 18*n - 540. What is the remainder when 375 is divided by h(31)?
15
Let t = 1484 + -1432. Calculate the remainder when 119 is divided by t.
15
Calculate the remainder when (157/4)/(20/160) is divided by 82.
68
Suppose -h - 5*s - 2 = -0, -3*h + s = -10. Suppose f - k = 30, 0 = 3*f + h*k + 2*k - 130. Calculate the remainder when f is divided by 9.
8
Calculate the remainder when 4/20*1/(6/61590) is divided by 26.
25
Let g be (32/40)/(2/(-50)). Let q = g + 46. Let r = -16 + q. What is the remainder when r is divided by 6?
4
Let l be (-8)/6*(-12)/8. Let i be (3/6)/(l/12). Suppose i*j + 61 - 175 = 0. What is the remainder when 111 is divided by j?
35
Let t be (-4)/(2*6/(-9)). Let o(l) = -t + 3 - 2*l - l. What is the remainder when 34 is divided by o(-4)?
10
Suppose -4*j + 31 = w - 14, 3*w = 3. Calculate the remainder when j is divided by 3.
2
Let u(x) = x**2 + x - 12. Let h = -6 + 9. Calculate the remainder when u(6) is divided by (11/3)/(1/h).
8
Suppose 0 = 111*b - 118*b + 203. What is the remainder when 144 is divided by b?
28
Suppose 2*a - 5*y = -79, -2*a = 3*y - 2 + 105. Let h = 148 + a. Calculate the remainder when h is divided by 34.
33
Suppose 0 = 2*x + 3*l - 7, -6*l - 20 = -2*l. What is the remainder when 88 is divided by x?
0
Let d(q) = q**3 - 2*q**2 + 3*q - 2. Let l be d(-4). Calculate the remainder when l/(-7) - 8/(-28) is divided by 23/3 - (-7)/42*8.
7
Let m be 145/20*4 + 3. Suppose 0 = -3*z - 21 - 9. Let w = m + z. Calculate the remainder when 65 is divided by w.
21
Let o(g) = 12*g**2 + 13*g + 14. Calculate the remainder when 33 is divided by o(-1).
7
Let l be -1 + 1 + (10 - 7). Suppose -j = -3*w - 34, -w = 2 + l. Calculate the remainder when 72 is divided by j.
15
Let h = 7 - -7. Suppose -2*l - 4*x - h = -l, 9 = -3*l - x. What is the remainder when 56 is divided by 3/(l/(-2)) + 26?
27
Suppose -99*t + 80 = -97*t + l, 4*t - 2*l - 144 = 0. Calculate the remainder when 85 is divided by t.
9
Let k = -894 + 915. What is the remainder when 1468 is divided by k?
19
Let x(i) = 2*i**3 + 2*i**2 - 2. Let a be x(2). Let k = a - 18. Suppose 4*u - 6 - 46 = 0. What is the remainder when u is divided by k?
1
Suppose 4*c = p + 66 - 60, c = -p + 9. What is the remainder when 33 is divided by p?
3
Let q(p) = p**3 + 8*p**2 + 11*p + 2. Calculate the remainder when 851 is divided by q(-3).
11
Let o = -138 - -313. What is the remainder when o is divided by 59?
57
Suppose -a + 7*x - 6*x = -161, a + x - 167 = 0. What is the remainder when a is divided by 55?
54
Let b(d) = d**2 - 4*d + 8. Suppose 5*f + 5*i = 205, -2*f + 63 + 25 = 3*i. Calculate the remainder when f is divided by b(6).
15
Calculate the remainder when 322/(-7)*((-1)/(-2) - 4) is divided by 21.
14
Suppose 0 = -h - 2*h + 78. Let x(l) = -15 + 15*l + 0 + 11 + 78. Calculate the remainder when h is divided by x(-4).
12
Let f = -414 + 482. What is the remainder when f is divided by 60?
8
Let m = 231 - 227. What is the remainder when 178 is divided by m?
2
Let s(k) = -k**2 - 4*k + 2. Let u = 33 - 17. Let o = u + -12. What is the remainder when s(-3) is divided by o?
1
What is the remainder when 189 is divided by (72/(-56) + 4)*(5 + 2)?
18
Let i = -4945 + 5022. Let d = 5 + 5. Calculate the remainder when i is divided by d.
7
Suppose 6*f - 932 = 208. What is the remainder when f is divided by 12?
10
Suppose -6*k + 2 = 2*r - 2*k, -5*r = 2*k - 37. Suppose -f - z + 10 = -55, -3*z + 263 = 4*f. Let s = f + -42. What is the remainder when s is divided by r?
8
Let x = 1487 + -1474. Calculate the remainder when 175 is divided by x.
6
Suppose 16*a + 123 = 17*a. Suppose 0 = 2*b + 3*b, 0 = -h - 4*b + 18. What is the remainder when a is divided by h?
15
Let x(z) = -5*z**2 + 5*z - 11. Let j be x(4). Let o = 80 + j. What is the remainder when 14 is divided by o?
5
Calculate the remainder when 101 is divided by (-240)/(-90)*9/4.
5
Let w(d) = 4*d**2 + 6*d + 5. Suppose 0 = 4*b - o - 0*o - 100, -5*b + 5*o + 110 = 0. Calculate the remainder when b is divided by w(-2).
8
Calculate the remainder when 701 is divided by (-1)/(((-55)/(-320))/(-11)).
61
Let z = 928 + -491. Calculate the remainder when z is divided by 25.
12
Let w = -10 + 7. Let q = 7 + w. What is the remainder when ((-88)/44)/(2/(-7)) is divided by q?
3
Suppose 0 = -9*i + 1741 + 4334. Calculate the remainder when i is divided by 40.
35
Suppose -3*s = 8*o - 3*o - 122, -3*o = -s + 22. Calculate the remainder when s is divided by 3.
1
Let q be 1/2 + (-3)/12*-30. Suppose 2*n - q = v, -4*n - v + 2*v + 14 = 0. What is the remainder when (-20)/3*12/(-10) is divided by n?
2
Let z(v) = 13*v - 25. Calculate the remainder when 26 is divided by z(3).
12
Let n(d) = 8*d - 84. Calculate the remainder when n(16) is divided by 10.
4
Let n = 44 - 17. Suppose 0 = 71*r - 66*r - 75. What is the remainder when n is divided by r?
12
Suppose 23*h - 24 = 22*h. Calculate the remainder when 39 is divided by h.
15
Suppose -189 = 681*c - 688*c. Calculate the remainder when 971 is divided by c.
26
Let r = -304 + 404. Calculate the remainder when r is divided by 44.
12
Let m(c) = -c + 11. Let b be m(9). Let s be (-15)/(-5) - 2/b. Suppose -5*d - 15 = 0, 7*w - s*w - 51 = 2*d. What is the remainder when 24 is divided by w?
6
Let k(i) = i**2 + 7*i + 9. Calculate the remainder when 46/3 - ((-558)/(-54) + -10) is divided by k(-6).
0
Let s = 30 + -40. What is the remainder when 22 is divided by (-17)/(-3) - s/(-15)?
2
Let t = 20 + -1. Calculate the remainder when 28 is divided by t.
9
Let h be 21 - (-2 - -4)/(-2). Suppose h = -4*u + 6*u. Calculate the remainder when 43 is divided by u.
10
Let f be (-354)/(-12) + 3/(-2). Suppose 0 = -9*v + 4*v - 70. Let t = f + v. What is the remainder when 40 is divided by t?
12
Let y be (11 + -6)*(-66)/(-5). Suppose -h = -4*h + y. Calculate the remainder when 87 is divided by h.
21
Suppose 2*z + 4*c - 1668 = 0, 2258 = -7*z - c + 8044. Calculate the remainder when z is divided by 104.
98
Suppose 0 = 2*n, -8*h - 4*n + 29 = -7*h. Calculate the remainder when 36 is divided by h.
7
Suppose 0*m + 6*m - 18 = 0. Calculate the remainder when 5/((-5)/(-91)) - m is divided by 23.
19
Let h(g) be the second derivative of -13*g**3/6 + 12*g**2 - 18*g. Calculate the remainder when h(-6) is divided by 26.
24
Let t = 782 + -770. Let f = 42 + -20. What is the remainder when f is divided by t?
10
Let m(n) = 59*n**2 + 5. Calculate the remainder when m(4) is divided by 56.
53
Let j = -94 + 137. Let m = -25 + 21. Let u = 15 + m. What is the remainder when j is divided by u?
10
Let j(r) = -r**3 + 2*r**2 + 7*r - 6. Let k be j(3). Suppose 9*o - 750 = -k*o. What is the remainder when o is divided by 13?
11
Let z = 10 - 6. Let d(u) = -u**3 + 5*u**2 + u + 1. Suppose 2*p + 5*f = 75, 3 = 2*f + 5. Calculate the remainder when p is divided by d(z).
19
Suppose -160 = -5*m + 5*q, -m = -2*m + 3*q + 38. Calculate the remainder when m is divided by (6 + -3 - (-15)/(-9))*9.
5
Suppose 11*b + 416 = 24*b. What is the remainder when b is divided by 29?
3
Let i(s) = 6*s + 0 - 2*s**3 + 3 + 0 + 5 - 2*s**2. Let t be i(-4). Let x = -27 + t. What is the remainder when x is divided by 18?
17
Suppose -185*j = -179*j - 168. What is the remainder when 108 is divided by j?
24
Suppose 49 = 2*j + 3*s, -117 = 4*j - 9*j - 2*s. What is the remainder when 477 is divided by j?
17
Let c(w) = -33*w + 168. Calculate the remainder when 19 is divided by c(5).
1
Let y be -1*8*8 + 3 + -3. Let p = y - -85. Calculate the remainder when 83 is divided by p.
20
Let v = -146 - -171. What is the remainder when v is divided by 13?
12
Suppose -20 = -4*t - 0*t. Suppose t = -5*i + 95. Suppose 3*h - 184 = 26. Calculate the remainder when h is divided by i.
16
Let b(d) = 6*d**3 + 3*d**2 + d + 2. Let j be b(-2). Let i = j - -56. What is the remainder when 39 is divided by i?
19
Suppose c + 35 = 3*b - 15, b - c = 18. Let d be 41/2*2 - (-1 - 0). Suppose -5*p - 5*h + d = -2*h, -h = -5*p + 26. What is the remainder when b is divided by p?
4
Suppose 3*j = 4*m - 209 + 50, -5*m = 4*j - 191. What is the remainder when 154 is divided by m?
37
Let y = 21 + -16. Suppose 134 = 5*j - 3*q, 5*j = -q + 28 + 94. Calculate the remainder when -8 + 108 - (y - 2) is divided by j.
22
Let s = 1006 - 464. What is the remainder when s is divided by 34?
32