3
Let a = 744 + -755. Let k(f) = -6*f - 12. Calculate the remainder when 809 is divided by k(a).
53
Suppose 3*r + 6 - 32 = 2*t, -2*t + 34 = 3*r. Let c = 57 - 8. What is the remainder when c is divided by r?
9
Suppose 3*u - v - 27 + 8 = 0, -5*v = 2*u + 10. Suppose 10 = -4*s + 3*o, u*s - 4*s = -5*o + 9. What is the remainder when (-9)/(-7) + s + 75/7 is divided by 5?
1
Suppose 0 = 5*m + 5*k - 210, -153*k - 212 = -5*m - 156*k. What is the remainder when 1308 is divided by m?
18
Let k(n) = 4*n**2 + 2*n - 3. Let l be k(-3). Suppose j - 3*j + 142 = 0. Calculate the remainder when j is divided by (-7 - -8)*-2*l/(-2).
17
Suppose 2*m + 34 = -26. Let b = 40 + m. Suppose -38 - b = -4*g. Calculate the remainder when 34 is divided by g.
10
Let j(a) = -11 + 8*a + 15*a + 9*a**2 - 19*a. What is the remainder when j(3) is divided by 35?
12
Let f(r) = 12 + r - r**3 + 17*r**2 - 17*r**2 + 23. Suppose 0 = 6*l - 181 + 67. What is the remainder when f(0) is divided by l?
16
Let i = 1120 + -556. Suppose -6*p = 6*p - i. Calculate the remainder when p is divided by 31.
16
Let y(c) = -3*c**3 + 16*c**2 + 172*c - 40. What is the remainder when 3355 is divided by y(10)?
275
Suppose -106*w + 20*w + 1507 + 299 = 0. Calculate the remainder when 43 is divided by w.
1
Suppose -2*y + 2*x - 666 = -6*y, 0 = 2*y + 2*x - 338. Calculate the remainder when y is divided by 90/(-4)*(-15)/27*4.
14
Suppose 3*u + 4*v - 6 = 0, 0 = -6*u + 2*u + 2*v + 8. What is the remainder when 6 + 104 + (u - 3 - 2) is divided by 12?
11
Let r be (5/3)/((-15)/(-18)). Let a be r/(-12)*(4 - 2)*-27. Suppose -a*p + 983 = -349. What is the remainder when p is divided by 38?
34
Suppose 0*k = -k + 4*p + 27, 2*k - 18 = -p. Suppose 0 = m + 3*j - 110, -k*m + 424 = -7*m - 4*j. Calculate the remainder when m is divided by 9.
8
Suppose 1464 = 35*d - 19*d - 14*d. What is the remainder when d is divided by 105?
102
Let w = 20 - -33. Suppose 22*z = -34*z + 448. Calculate the remainder when w is divided by z.
5
Let h(i) = 4*i**2 - 7*i - 9. Let x(m) = 12*m**2 - 21*m - 30. Let v(u) = 19*h(u) - 6*x(u). What is the remainder when v(5) is divided by 40?
34
Suppose 4077 = 8*a - 1115. Calculate the remainder when a is divided by 302.
45
Let b(y) = -2*y**3 - 29*y**2 + 3*y + 76. Suppose 0 = -5*a + 4*p - 6*p + 108, 48 = 2*a + 2*p. What is the remainder when b(0) is divided by a?
16
Suppose -5*u = -4*p + 68, -5*u + 47 + 21 = 4*p. Let c = 374 - 341. What is the remainder when c is divided by p?
16
Let i be (51 - 52)/((-2)/36). What is the remainder when 186 is divided by (i/15)/((-8)/(-180))?
24
Let h(f) = f**3 - 10*f**2 + 13*f - 5. Let y be h(9). Let u = -17 + y. Suppose 49*a - 96 = 45*a. Calculate the remainder when a is divided by u.
10
Let d = 16416 + -16263. What is the remainder when 302 is divided by d?
149
Let o(p) = 101*p - 29*p - 24 - 40*p. What is the remainder when o(2) is divided by 14?
12
Suppose 12*g - 79*g + 28341 = 0. What is the remainder when g is divided by 144?
135
Suppose 3*r - 18 + 1 = p, 7 = 3*r + 4*p. Suppose 3*k - 642 = -r*f, 0 = -f - 2*k + 55 + 72. Let g(m) = 44*m. Calculate the remainder when f is divided by g(1).
41
Suppose 0 = -14*a + 1454 - 1286. What is the remainder when 389 is divided by a?
5
Let u(f) = 6*f + 103. Suppose 212 + 16 = -19*d. What is the remainder when 242 is divided by u(d)?
25
Let c = 14016 - 13528. What is the remainder when c is divided by 19?
13
Suppose -2*q - 3*n = -q - 11, 5*q - 5*n = 75. Suppose 2*x - 152 = 3*g, -2*x = 2*g - 171 - 1. What is the remainder when x is divided by q?
12
Let n = 28673 - 28657. Suppose 5 = -v + 3*c - 1, 0 = -2*v + 2*c + 4. Calculate the remainder when n is divided by v.
4
Calculate the remainder when 1225 is divided by (-8 + 10)/(3/(-252)*-7).
1
Let h be (-27)/(-36) - 15/(-12). Let w = 13 + -9. Suppose w*x = -h*x + 42. Calculate the remainder when 10 is divided by x.
3
Let r be (4/1)/8*0. Let g be 308/66*(r - -3). Suppose 13*l - g*l = -33. Calculate the remainder when l is divided by 17.
16
Let j = 137 + -133. Suppose 0 = j*b - 4*k, 4*k - 2 = 18. What is the remainder when (-4)/((-1)/(-7)*-1) is divided by b?
3
Suppose 1175 = -2*m + 899. Let k = m - -160. Calculate the remainder when ((-34)/(-8))/(1/20) is divided by k.
19
Let j(g) = g**3 + 5*g**2 - 5*g - 24. Let r be j(-5). Calculate the remainder when 1 - (-155 - (r + -4)) is divided by 31.
29
Suppose 0 = 2*m - 119 - 33. Let n = -48 + m. Calculate the remainder when 76 is divided by n.
20
Let k(n) = -n**3 - n**2 - 15*n + 1346. What is the remainder when k(0) is divided by 665?
16
Let r(p) = -p**2 - 12*p - 2. Let b(s) = -s**2 + s + 5. Let n be b(3). Let z be 1 + -9 - (0 + n). Calculate the remainder when r(z) is divided by 9.
6
Suppose 0 = 5*v - 5, -681 - 689 = -3*f - 2*v. Suppose 80 = 6*k - 2*k. What is the remainder when 132 is divided by f/10 + (-12)/k?
42
Suppose 11*d - 9*d - 16 = -2*c, 3*c - 17*d = 44. Calculate the remainder when 115 is divided by c.
7
Let m = 8 + -5. Suppose 15 = m*j - 156. Suppose 4*r - 20 = 0, 7*a + r - 65 = 5*a. Calculate the remainder when j is divided by a.
27
Let t = -7560 - -9037. What is the remainder when t is divided by 294?
7
Let q = 6716 + -6682. What is the remainder when 2548 is divided by q?
32
Let h = -30451 + 30484. Calculate the remainder when 1577 is divided by h.
26
Let v(c) = 3*c**2 - 2*c - 6. Suppose -146 - 40 = -3*l. Let y = l - 32. What is the remainder when v(5) is divided by y?
29
What is the remainder when 97 is divided by (19/((-95)/(-12)))/(16/180)?
16
Suppose -21*w - 220 = -26*w + 5*k, 140 = 3*w - 7*k. What is the remainder when 1886 is divided by w?
38
Let m(k) = 388*k - 1196. Let o = 56 + -11. Calculate the remainder when m(4) is divided by o.
41
Let m = 380 - 450. Let s = -58 - m. What is the remainder when 25 is divided by s?
1
Let o = 24 + -96. Let w = 70 + o. Calculate the remainder when 103 is divided by (w/(-7) + 348/56)*4.
25
Let p be ((-237)/(-9))/(-1 + (-4)/(-3)). Suppose p = 16*d - 17*d. Let g = -74 - d. Calculate the remainder when 39 is divided by g.
4
Let j be (2 - 0)*(3 - 0 - -85). Suppose -12*t = -8*t - j. Suppose 5*l - z = -0*l + t, 4*l - 48 = 4*z. What is the remainder when 28 is divided by l?
4
Let t(k) = -11*k - 11. Let v(p) = -3*p**2 - 8*p - 12. Let b be v(-4). Let a = -30 - b. What is the remainder when 41 is divided by t(a)?
8
Let h be (10 + -9)/((-2)/6) - -29. Suppose -h - 16 = -14*f. What is the remainder when (-91)/(-4) + (-1)/(-4) is divided by f?
2
Suppose -2*w + 11 = 3, 0 = -2*a + 3*w + 16. Let s = -38 - a. Let h = 103 + s. What is the remainder when h is divided by 18?
15
Suppose -6*x = -2*x - 148. Let u = x + -35. Suppose -g - g + 141 = 3*s, u*g + 141 = 3*s. Calculate the remainder when s is divided by 17.
13
Suppose 4*u - 2*r = 3*r - 297, -5*r = -u - 78. Let w = 24 + u. Let l = -40 - w. Calculate the remainder when 33 is divided by l.
6
Let c(x) = -7*x - 12. Let h be c(-4). Let y(m) = -m**3 + 15*m**2 + 12*m + 3. Let l be y(h). Let p = l - -81. What is the remainder when p is divided by 7?
6
Suppose 4*x - b - 231 = 4*b, x = -3*b + 45. Let t = 362 - 259. Let n = -95 + t. Calculate the remainder when x is divided by n.
6
Suppose 0*f - 455 = -5*f - y, 5*y - 475 = -5*f. Let s be 2/(1/18 + 14/84). Suppose 3*p = s*p - f. What is the remainder when 100 is divided by p?
10
Suppose 11*m = 4*m + 35. Suppose w + 187 = -2*w - m*v, 4*w + 259 = 3*v. Let l = 95 + w. Calculate the remainder when 86 is divided by l.
24
Let o(v) = -733*v + 272. Let i(q) = 488*q - 181. Let s(p) = -7*i(p) - 5*o(p). What is the remainder when s(2) is divided by 17?
14
Let b = -1493 - -1803. Suppose z + 2 = 0, 3*i - 139 = -2*z - 26. What is the remainder when b is divided by i?
37
Let t be (345/(-15))/(14/(-4) + 3). Calculate the remainder when 55 is divided by (t/23)/((-54)/58 + 1).
26
Let y = 213 - 216. Calculate the remainder when (-924)/y + 0 - 5 is divided by 38.
37
Calculate the remainder when (0 - 3) + (-1728)/(-3) is divided by ((-4)/6)/((-7)/9) + 15582/1029.
13
Let b(j) = 4*j - 1. Let s(i) = 7*i**2 + 11*i + 11. Let t be s(-1). What is the remainder when 117 is divided by b(t)?
9
Let j = 101 - 54. Let i = 62 - j. Suppose -21*a + 340 = 25. Calculate the remainder when i is divided by a.
0
Let a = 50 + -46. Suppose -5*l - 2*f + 10 = 0, -f + a*f -