
5
Suppose 0 = 9*w - 5*w - 60. Calculate the remainder when 117 is divided by w/3*((-24)/(-3) + -5).
12
Let b be 3 + (-1986)/(15/(-5)). Suppose 13*q + b = 18*q. What is the remainder when q is divided by 27?
25
Let v(m) = -m**3 + m**2 + m + 3. Let y = -6 + 6. Suppose 3*w = r - 12, 2*r = r - 3*w. What is the remainder when r is divided by v(y)?
0
Let n(a) = -a**2 - 10*a + 5. Let x(m) = m**2 + 11*m - 5. Let k(l) = -4*n(l) - 3*x(l). What is the remainder when k(4) is divided by 8?
7
Let t = 72 + -72. Suppose t = -4*n + 154 + 34. Calculate the remainder when n is divided by 10.
7
Let j(i) = 66*i + 84. Calculate the remainder when 970 is divided by j(-1).
16
Let a(o) = 34*o + 1173. Let n be (-3)/(-12) - 38/(-8). Suppose 0 = -n*s + 35 + 295. Calculate the remainder when s is divided by a(-34).
15
Suppose -25*b + 23*b = 34. Let t = 21 - b. What is the remainder when t is divided by 20?
18
Suppose -5*u + 409 = 5*x - 91, 0 = -5*u + 20. Suppose 2*g - x = -4*g. Calculate the remainder when 61 is divided by g.
13
Let d = -8 + 8. Suppose d = l - 18 - 20. What is the remainder when l is divided by -19 - -23 - (-1 - 8)?
12
Let o = 383 + -333. Calculate the remainder when 398 is divided by o.
48
Suppose d - 3 = -0. Let y = 26 - 14. Let h = y - 9. What is the remainder when d is divided by h?
0
Let u be 1/(-4*(-5)/80). Suppose 3*d = u*d - 90. Calculate the remainder when d is divided by 23.
21
Let h = -9 + 20. Suppose 30*w - 2592 + 312 = 0. What is the remainder when w is divided by h?
10
What is the remainder when (3 - (-31)/(-11)) + (-210)/(-55) is divided by ((-4)/(-6))/((-3)/(-18))?
0
Let r = 1101 - 1090. Calculate the remainder when 86 is divided by r.
9
Suppose 975 = 13*q - 897. Calculate the remainder when q is divided by 7.
4
Let v = 1041 - 1033. What is the remainder when 62*(0 - (-1)/2) is divided by v?
7
Suppose 3*b - 2*x = 167, -5*b + 4*x = -86 - 189. What is the remainder when b is divided by 33?
26
Let k(c) = -6*c - 18. Let r be k(-11). Let w = 54 - r. What is the remainder when (-144)/(-10) + 4/(-10) is divided by w?
2
Let z be -1 + (-3*21)/(-3). Let q be z/6 - (-1)/(-3). Calculate the remainder when 33 is divided by (15 - -3)/q - -1.
5
Suppose 9 = 2*z + 5*n, 2*z - 19 + 6 = -n. Let x(u) = -2*u - 6. What is the remainder when x(-9) is divided by z?
5
Let y(i) = i**3 - 7*i**2 - 9*i + 8. Let g be y(8). Suppose 5*u - 19 + 9 = g. Let b(s) = s**2 - s. Calculate the remainder when b(3) is divided by u.
0
Let x be (-14 - -14)/(-1 - -3). Let f(r) = -r**3 - 2*r**2 - 2*r + 3. Calculate the remainder when 49 is divided by f(x).
1
Calculate the remainder when 1132 is divided by (-32)/2*(19 + 100/(-5)).
12
Calculate the remainder when (-602)/(-26) + (-72)/468 is divided by 5.
3
Suppose 0 = 132*c - 125*c - 105. What is the remainder when c is divided by 8?
7
Suppose 13 + 23 = 4*r. Let g = 30 - 25. Suppose -2*t + 6 = 0, -2*q + g*q = t + 99. Calculate the remainder when q is divided by r.
7
Suppose -x = -v + 3*v - 6, 0 = 2*v - 2*x. Suppose -v*l = l + 12. What is the remainder when 142 is divided by 6/(-9)*(l + -50)?
34
Let t = -41 + 46. Suppose 23 = -t*d + 48. Calculate the remainder when d is divided by 3.
2
Let l be (27/6)/((-6)/(-8)). Suppose -5*s = -2*s - l. Suppose -s*i = 3*i - 50. What is the remainder when i is divided by 4?
2
Let c = -2575 - -2772. Calculate the remainder when c is divided by 86.
25
Let v = 2209 + -1625. Calculate the remainder when v is divided by 22.
12
Suppose 214*i = 218*i - 44. Let o(v) be the third derivative of -v**4/24 + 7*v**3/6 - 2*v**2. What is the remainder when i is divided by o(3)?
3
Suppose -11080 = -1614*t + 1604*t. Calculate the remainder when t is divided by 30.
28
Let w(h) = -h**2 - 12*h - 12. Let q be (-6)/2*(-99)/(-27). Let s be w(q). Calculate the remainder when (s - -10)*(-35)/(-15) is divided by 8.
5
Suppose -4*j - 3*y = -32, 0 = 3*j - y - 49 + 12. Suppose -13*r = -j*r - 104. What is the remainder when r is divided by 28?
24
Suppose 0 = -5*u - 5*x + 370, 2*u = 4*u - x - 133. Let f = u - 53. What is the remainder when 44 is divided by f?
12
Let g(s) = s**3 - 5*s**2 + 12*s - 39. Calculate the remainder when g(7) is divided by 63.
17
Calculate the remainder when (2/((-12)/543))/((-2)/4) is divided by 46.
43
What is the remainder when 72 is divided by 27 - (-13)/((-52)/32)?
15
What is the remainder when 118 is divided by 43/4 - (0 - (-11)/(-44))?
8
Let o(j) = 16*j**2 + 32*j - 4. What is the remainder when 170 is divided by o(-3)?
38
Suppose 4*o + 21 - 725 = 0. Suppose 0 = -5*x + 194 + o. Calculate the remainder when x is divided by 26.
22
Let l = 1586 + -592. Calculate the remainder when l is divided by 12.
10
Let s be 37/5 - (-28)/(-70). What is the remainder when 9 is divided by (-32)/(-14) + (-2)/s?
1
Let z = -418 + 419. Calculate the remainder when 45 is divided by z.
0
What is the remainder when (-10)/(-165) - 4354/(-33) is divided by 16 + (0 + -2)/(-2)?
13
Let b = 134 + 176. What is the remainder when b is divided by 24?
22
Let v = 173 + -17. Suppose 0*l = -3*l + v. What is the remainder when l is divided by 18?
16
Let d = 97 + -53. Suppose 0 = -3*t + d + 16. What is the remainder when t is divided by 7?
6
Suppose 1742 = 5*m + c, 4*m - 5*c - 651 - 731 = 0. What is the remainder when m is divided by 2?
0
Let j(a) = -a**3 + 25*a**2 - 60*a - 4. What is the remainder when j(22) is divided by 12?
8
Let c(t) = 10*t**2 - 7*t - 3. Calculate the remainder when 36 is divided by c(-1).
8
Let t be 7 - (-2 + 5) - -321. Suppose -2*o + t = 3*o. What is the remainder when o is divided by 22?
21
What is the remainder when 53 is divided by 34 - (35/5 + -3)?
23
Let z be (3/(-6))/(2/(-16)). Suppose 0 = 4*p - 12 + z. Suppose -p*t + 69 = t. What is the remainder when t is divided by 13?
10
Let g(z) = -z**2 - 2*z + 32. Suppose 29 = -2*p - o + 4, 2*p + 22 = -2*o. Let k = p + 14. Calculate the remainder when 61 is divided by g(k).
29
Suppose -1702*p + 870 = -1697*p. What is the remainder when p is divided by 84?
6
Let v(k) = k**2 - 3*k - 2. Let u(t) = 2*t + 4. Let d be u(10). Let r be (5/10)/(2/d). What is the remainder when 47 is divided by v(r)?
15
Suppose 0 = -2*k - k - 9, 0 = 4*x - 5*k - 151. Let m(l) = -23*l**3 + 2*l + 1. Let g be m(-1). Let y = g + -13. What is the remainder when x is divided by y?
7
Calculate the remainder when (-14)/(15 + -8) + 481 is divided by 96.
95
Let y = 290 + 188. Calculate the remainder when y is divided by 40.
38
Let g be -16*2*30/40. What is the remainder when g/40 - (-288)/5 is divided by 29?
28
Let o be (6/4 - 0)*-2. Calculate the remainder when ((-4)/8)/(3/(-66)) is divided by 2/((-4)/o)*2.
2
Suppose -2212 = -5*l - 232. Suppose -8*c = 3*c - l. What is the remainder when 105 is divided by c?
33
Let v(i) = -i**2 + 18*i - 28. Let r be ((-2)/8)/((-3)/36). Suppose -130 = -r*a + 14. What is the remainder when a is divided by v(15)?
14
Suppose -26*j - 1224 = -77*j. What is the remainder when j is divided by 3?
0
Let t(n) = n**3. Let g(q) = -6*q**3 + 2*q**2 + 3*q + 7. Let c(z) = -g(z) - 4*t(z). Let f be c(-7). What is the remainder when 35 is divided by f/(-63) + 2/(-9)?
11
Let f be ((-1 - 1) + -12)/1. Let b = -3 - f. Let d(j) = 3*j**2 + 7*j + 3. Calculate the remainder when d(-5) is divided by b.
10
Let z(n) = -3*n**2 + 4*n + 113. Calculate the remainder when z(0) is divided by 12.
5
What is the remainder when 167 is divided by 3/18 + (1645/30 - -3)?
51
Let c be ((-30)/18)/(1/60). Let l = -39 - c. Calculate the remainder when l is divided by 8.
5
Let d be 28/10 - 2/(-10). Suppose -4*v + d*v = 0. Suppose 5*f + 83 = 4*p, -3*f + 76 = -v*p + 5*p. What is the remainder when 33 is divided by p?
16
Suppose 1345 = -5*w + 10*w. Let y = -106 + w. Calculate the remainder when y/3 + (-1)/3 is divided by 28.
26
What is the remainder when 228 is divided by (78/5)/((-34)/(-170))?
72
Suppose -d = 4*d - 70. Let s(x) = 6 + x + 6 - 14 + d. What is the remainder when s(7) is divided by 11?
8
Suppose 0 = -16*g + 26*g - 1440. Calculate the remainder when g is divided by 49.
46
Suppose -25*u = -24*u - 150. What is the remainder when u is divided by 10?
0
Suppose 0 = -u + 5*p - 129 - 63, p = -2*u - 439. Calculate the remainder when (u + (-18)/(-6))/(-2) is divided by 27.
26
Suppose -15*l + 260 = -2*l. What is the remainder w