n 7 is divided by g.
2
Suppose 0 = -u + 3*m + 99, 247 = -6*u + 9*u + m. Let h = u + -58. Suppose 4*v - 39 = -3*l - 12, 4*v - 4*l = 20. What is the remainder when h is divided by v?
2
Calculate the remainder when (-168)/126 + 668/6 is divided by 47.
16
Let f(p) = 3*p + 66. Let n be f(-22). Suppose -6*q + 207 + 21 = n. Calculate the remainder when 70 is divided by q.
32
Suppose -24 - 184 = -16*n. What is the remainder when 20 is divided by n?
7
Suppose 5*f - 11 = 14. Suppose -3*t - f = -29. What is the remainder when 30 is divided by t?
6
Let i(l) = 3*l**3 - 31*l**2 - 24*l + 33. Calculate the remainder when 777 is divided by i(11).
7
Let b = 4 + 11. Let u = 1 + 1. Suppose -6 = -v + u. Calculate the remainder when b is divided by v.
7
Let p(d) = d**2 - 7. What is the remainder when (-1)/3 + (-3165)/(-45) is divided by p(4)?
7
Suppose -4*v = 5*j - 49 - 48, 0 = 3*v - 2*j - 44. Calculate the remainder when 30 is divided by v.
12
Let y be -2 - 2*-1 - -4. Let v = 148 + -186. What is the remainder when (y - 3)*v/(-2) is divided by 7?
5
Let n = 44 - 41. Suppose k = n*t - 85, -2*k = 5*t - k - 155. Calculate the remainder when t is divided by 11.
8
Suppose 57*d + 10 = 59*d. Suppose 4*b - d*b = 4*j - 229, -4*j + 249 = 5*b. Calculate the remainder when j is divided by 12.
8
Suppose 5*q - 103 = 2. Suppose -100 = -q*z + 16*z. What is the remainder when z is divided by 3?
2
Suppose 3*a + 2*w - w - 91 = 0, 2*a + 3*w - 49 = 0. Suppose 0 = -0*l - 2*l - a. Let c = -5 - l. Calculate the remainder when 64 is divided by c.
9
Let p = 62 - 23. Suppose 0 = 4*l - 85 - p. What is the remainder when l is divided by 8?
7
Let x(y) = 7*y - 10. Let p be x(5). Suppose 4*r + r - p = 0. Calculate the remainder when 17 is divided by r.
2
Let m = -74 - -192. What is the remainder when m is divided by 32?
22
Let v(r) = -r - 12. Let x(a) = 2*a + 12. Let d(q) = 5*v(q) + 4*x(q). Calculate the remainder when 46 is divided by d(8).
10
Suppose 0 = 24*n - 383 - 73. Calculate the remainder when 51 is divided by n.
13
Let x(y) = 2*y - 17. Let t(b) = b**3 + 5*b**2 - 2*b. Let g be t(-5). Calculate the remainder when 3 is divided by x(g).
0
Let o be (21/(-3))/(1/(-38)*1). Suppose -4*m + 11*c + o = 9*c, 2*m - 143 = 3*c. Calculate the remainder when m is divided by 22.
20
Let g = 737 - 675. What is the remainder when g is divided by 8?
6
Let n = -3 + 9. Let p = -489 - -494. Calculate the remainder when n is divided by p.
1
Suppose -14 = -3*g - a + 3*a, 4*g - 19 = 3*a. Suppose -4*j - g = 2*k - 2*j, -4*k = -3*j - 20. What is the remainder when 4 is divided by k?
0
Let i = 1347 + -1310. What is the remainder when 248 is divided by i?
26
Let t(q) = 3*q**3 - 2*q**2 + 5*q - 9. Suppose 0 = 5*o + 27 - 7. What is the remainder when 25*3/(-6)*o is divided by t(2)?
16
Let v(r) = 2*r + 58. Let c be v(-9). Calculate the remainder when 6/(-15) + 0 + 656/c is divided by 7.
2
Let m(t) = 3*t**3 + t**2 - 7*t - 5. Calculate the remainder when 245 is divided by m(3).
53
Suppose 10*m + 2 = 272. What is the remainder when 75 is divided by m?
21
Suppose 3*j + 145 = t, -2*t = -j - 197 - 103. Calculate the remainder when t is divided by 19.
18
Suppose 2419 = 15*a - 7286. Suppose -10*f = -a - 13. Calculate the remainder when f is divided by 23.
20
Suppose l = 3*c - 2*l - 99, 0 = -5*l. Calculate the remainder when c is divided by (27/18)/((-3)/(-14)).
5
Let y = -1928 - -1964. What is the remainder when y is divided by 11?
3
Suppose q = w - 7, 4*w - w + q = 1. Suppose w*x - 4*l + 5*l - 67 = 0, -4*x + 5*l + 169 = 0. Calculate the remainder when x is divided by 19.
17
Suppose 4006 = 5*d + h + 1558, h = 4*d - 1962. What is the remainder when d is divided by 17?
14
Let y(r) = -38*r + 6. Let c be y(-1). Suppose -5*t = -1 - c. What is the remainder when 32 is divided by t?
5
Calculate the remainder when (0 - -5) + -6 - -36 is divided by 9.
8
Suppose 422 + 682 = 12*z. What is the remainder when z is divided by 24?
20
Suppose -3*n - h + 34 = 0, -51 = -2*n + 5*h - 17. Suppose i - 19 - 43 = o, -n = 4*o. What is the remainder when i is divided by 30?
29
Let k(l) = l**3 - 4*l**2 - l + 6. Let s be k(3). Let o(m) = m**3 + 7*m**2 - 4. Calculate the remainder when 62 is divided by o(s).
30
Calculate the remainder when 90 is divided by ((-348)/(-10))/(90/225).
3
Suppose 3*x + 15 = 0, 24*k + 55 = 28*k - 3*x. What is the remainder when 271 is divided by k?
1
Let v = 3088 - 3065. Calculate the remainder when 2688 is divided by v.
20
Calculate the remainder when 269 is divided by (-588)/(-36) - 4/(1 + 11).
13
Suppose -2*b - 4*i + 2 = -2, b + 4*i = -8. Calculate the remainder when 67 is divided by b.
7
Let i be ((-10)/(-3))/(5/(-15)). Let y = -5 - i. Suppose z - 3 = y*d + 15, 0 = -d. What is the remainder when z is divided by 5?
3
Suppose 2*m = 4*a + 198, -4*m + 0*m + 5*a = -381. What is the remainder when m is divided by 31?
27
Let l = -98 - -163. Suppose -3*p = 2*s + 2*s - 47, 4*s - 3*p - l = 0. What is the remainder when 40 is divided by s?
12
What is the remainder when 223 is divided by 3/5 - (-2484)/135?
14
Suppose -5*j - 5 = 5*z, 3*j - j = -10. Suppose -2*m = z*m - 90. Calculate the remainder when 29 is divided by m.
14
Let u(b) = 106*b**2 + 2*b - 3. Calculate the remainder when 204 is divided by u(1).
99
Suppose -3*g + 85 = u, -4*g + 91 + 33 = -4*u. Suppose 2*h = -k + 12, 0*k - 4*h = k - 8. What is the remainder when g is divided by k?
13
Suppose -5*r = 6 + 4. Calculate the remainder when 43 is divided by (-3 + (-31)/r)*12/10.
13
Let t(r) = 2*r**3 + 3*r**2 - 2*r - 4. Let s be t(-3). Suppose 2*y + 6*y + 176 = 0. Let v = y - s. Calculate the remainder when 5 is divided by v.
2
Let c = -330 + 345. What is the remainder when c is divided by 9?
6
Let g(z) = 10*z - 5. Let n(p) = -21*p + 11. Let s(c) = -5*g(c) - 2*n(c). Calculate the remainder when 63 is divided by s(-1).
8
Calculate the remainder when (2 - -3) + -8 + 1*266 is divided by 38.
35
Suppose -345 = 72*l - 77*l. What is the remainder when l is divided by 12?
9
Calculate the remainder when 311 is divided by (114/21)/((10/(-7))/(-10)).
7
Let j = -341 + 348. Let z(c) = 38*c - 2. Calculate the remainder when z(2) is divided by j.
4
Suppose 0 = 3*i + 2*v - 11, 4*i - 21 = i + 3*v. Let p(q) = 2*q**2 - 5*q + 28. Calculate the remainder when p(i) is divided by 29.
24
Suppose -62 - 92 = -11*k. What is the remainder when 41 is divided by k?
13
Let v(s) = -s**2 + 6*s - 2. Let w be v(-4). What is the remainder when 27 is divided by (w/(-12))/(2/4)?
6
What is the remainder when -7 + -1 - (-807 - 20) is divided by 82?
81
Let y = -19 + 24. Let g be 22 + y + -2*2. Let p = 41 - g. Calculate the remainder when 52 is divided by p.
16
Let z(w) = -w**3 - w**2 + 3*w. Let y be z(0). Suppose 2*g - 154 = -4*i - 0*g, y = -i - 5*g + 61. What is the remainder when 178 is divided by i?
34
Let r = 1260 - 1191. What is the remainder when r is divided by 18?
15
What is the remainder when (-3 - (-152)/6) + (-12)/(-18) is divided by 4?
3
Let g(r) = 11*r + 103. What is the remainder when g(-4) is divided by 14?
3
Suppose 8 + 1 = v. Let n be 4*(-3)/(v/6). What is the remainder when -2*(-1)/(n/(-156)) is divided by 14?
11
Suppose 5*o + 10 = 95. Suppose 2*t + 2*s - 30 = 0, 0 = 2*t - s - 10 - 8. What is the remainder when o is divided by t?
6
Let z(y) = 5*y**2 + 19*y + 43. What is the remainder when z(-6) is divided by 15?
4
Let y(z) = 171*z - 3. Let q be y(6). Let h = q - 711. Suppose -4*o + h = -2*s + 6*s, 4*s = -3*o + 312. Calculate the remainder when s is divided by 20.
18
Let v = -244 - -250. What is the remainder when 27 is divided by v?
3
What is the remainder when (50/(-3))/(((-64)/108)/8) is divided by 58?
51
Suppose -r = 3*r + 8. What is the remainder when 5*r/(-5) - -2 is divided by 2?
0
Let n = -77 + 188. What is the remainder when n is divided by 8?
7
Suppose -u - 3 = -4*u, -3*y + 4*u = -14. Calculate the remainder when (-24)/(-2) - -2*3/(-6) is divided by y.
5
Suppose 0*v + 13*v + 1209 = 0. Let f = -84 - v. Calculate the remainder when 78 is divided by f.
6
Suppose -355 = 3*x - 8*x. Let s = 10 + -94. Let q = -60 - s. What is the remainder when x is divided by q?
23
Let n(p) = 7*p + 23. Let v be n(6). Let k = v - 39. What is the remainder when k is divided by 15?
11
Let k = -30 - -57. Suppose 3*a = 13 + 59.