 3. What is the remainder when y is divided by p?
12
Let o = 114 - -9. What is the remainder when o is divided by 21?
18
Let f = -22 - -32. What is the remainder when (-3)/(36/(-150)) + 24/(-16) is divided by f?
1
Suppose -6*k + 2*k = -160. Let q(a) = -a**3 - 4*a**2 - 3*a + 2. Let v be q(-3). Suppose -3*r = v*r - 70. What is the remainder when k is divided by r?
12
Let n(x) = -2*x**2 - 67*x - 21. What is the remainder when 23 is divided by n(-33)?
11
Let x(d) = -d**3 - 3*d**2 + d - 2. Let y be x(-4). Suppose -p = -7 - y. Calculate the remainder when p is divided by (-136)/(-14) - 20/(-70).
7
Suppose 4*v + 2*f = 206, 6*f = 3*v + 5*f - 167. What is the remainder when 160 is divided by v?
52
Calculate the remainder when 30 is divided by ((-53)/10 + 5)*-10.
0
Suppose -d + 7 = 4*s, 2*s - 7*s + 30 = -3*d. Let i = 10 - d. What is the remainder when i is divided by 8?
7
Let a = 28 + -27. Let n(k) = 105*k + 3. Calculate the remainder when n(a) is divided by 37.
34
Suppose 0 = 2*d + 3*s - 154, -5*d + 0*s = 3*s - 403. Calculate the remainder when 496 is divided by d.
81
Suppose 3*h - 3*v - 7 = v, 4*h + 5*v = 61. Calculate the remainder when h is divided by 6 + 4/8*-6.
0
Suppose -3*m = -2*h + 53, 0*m - 97 = -3*h + m. What is the remainder when 373 is divided by h?
33
Suppose -4*o - 124 = -5*p + 21, 0 = -p + o + 29. Calculate the remainder when 432 is divided by p.
26
Suppose -1 - 80 = 5*n + 3*g, 2*g - 71 = 5*n. Let z = n + 15. Suppose -l + 14 + 36 = z. Calculate the remainder when l is divided by 17.
16
Suppose 5*w = 43 + 57. Let i be (-48)/2*w/30. What is the remainder when (i/40)/(2/(-15)) is divided by 2?
1
Suppose 0 = 6*t - 37 + 19. Suppose 878 = 4*l - t*g, -l + 5*g = -6*l + 1115. Calculate the remainder when l is divided by 32.
29
Let m = -7 - 3. Suppose -4*t = 63 + 5. Let y = m - t. What is the remainder when 20 is divided by y?
6
Let d(t) = -t**3 - 8*t**2 + 3*t + 16. Let v be d(-8). Let f(h) = -h**2 - 11*h + 8. What is the remainder when 254 is divided by f(v)?
30
Let v = -30 - 4. Let g = -34 - v. Suppose -3*d - 17 + 92 = g. What is the remainder when d is divided by 7?
4
Let x = 1 - -3. Let u(t) = t**3 - 3*t**2 - 3*t - 2. Let z be u(x). Suppose -z*i + 32 = -i. Calculate the remainder when i is divided by 9.
5
Suppose 0 = -2*a + 2*q + 148, -2*a = -45*q + 47*q - 168. Calculate the remainder when a is divided by 12.
7
Calculate the remainder when ((6 - 8)/(-2))/((-1)/(-25)) is divided by 4.
1
Suppose z = -4*o + 1295, 4*o + 3*z = 7*o - 990. Let g = -188 + o. What is the remainder when g is divided by 23?
22
Suppose -18 = -4*t - 2. Suppose 1 = 5*u - 4. What is the remainder when 12 + (u - (2 - 0)) is divided by t?
3
Suppose -l + 95 = f, 2*l - 135 - 249 = -4*f. Calculate the remainder when f is divided by 30.
7
Suppose -98 = -4*r + 2*l, 9*r = 8*r - 5*l + 19. What is the remainder when 286 is divided by r?
22
Suppose 30163 = -127*u + 134*u. What is the remainder when u is divided by 56?
53
Suppose 3*s + 7 = 16. Suppose 2*a = -s*a + 80. Let c = -43 - -72. Calculate the remainder when c is divided by a.
13
Let c be 0/1 + 1/((-6)/(-234)). Suppose -6*r + c = -3*r - q, -r - 3*q = -3. What is the remainder when 39 is divided by r?
3
Let l(v) = 14*v + 41. Let b be l(-8). Let n = 127 + b. Calculate the remainder when n is divided by 12.
8
Let y = 846 - 291. What is the remainder when y is divided by 13?
9
Suppose m = -4*m + 30. What is the remainder when (0 - -2)*69/m is divided by (15/(-10))/(12/(-104))?
10
What is the remainder when (0 + 294/(-8))*384/(-144) is divided by 38?
22
Let j(a) = a**2 + 10*a + 10. Let m be j(-9). Suppose -3*y + 56 = 4*u, -m = -y - 5*u + 3. Suppose 2*i - y = -i. Calculate the remainder when 39 is divided by i.
7
Let o(b) = b**3 + b**2 - 3*b - 4. Let q be (25/(-20))/((-2)/(-8)). Let t = 48 + q. What is the remainder when t is divided by o(3)?
20
Let i = -10 + 87. What is the remainder when i is divided by (-9)/(-2)*98/21?
14
Suppose 0 = -3*w - 7 + 100. Suppose 0 = 5*c + 3*c - 32. Suppose -c*i = 0, -5*n - 5*i = -0*n - 55. Calculate the remainder when w is divided by n.
9
Let p be (18/15)/((-3)/20). Let u(a) = a**3 + 7*a**2 - 10*a - 8. Suppose 2*n + 1 - 7 = 0. Calculate the remainder when u(p) is divided by n.
2
Let r be 3 + 2 + (3 + 1 - 6). Suppose 3*l - 2*l = -r*c + 41, 4*l - 66 = -5*c. What is the remainder when c is divided by 6?
2
Let t(c) = 37*c + 22. Calculate the remainder when t(11) is divided by 6.
3
Suppose 2*a - q - 11 = -0*a, 4*a + 4*q = 4. Suppose -a*m = -m - 36. What is the remainder when 82 is divided by m?
10
Suppose -6*c = 302 + 226. Let j = -56 - c. Calculate the remainder when j is divided by 19.
13
Let f(z) = z**3 - 10*z**2 + 11*z + 2. Let r be f(6). Let j = r - -86. What is the remainder when 12 is divided by j?
2
Let w(y) = -y**2 - 10*y - 1. Let v be w(-9). Suppose 3*x + 130 = v*x. Calculate the remainder when x is divided by 7.
5
Let h(o) = -4*o - 10*o - 6*o**2 + 2 - 5 + 5*o**2. Let a be h(-7). Suppose 3*x - k + 6*k = a, -x + 3*k = 8. What is the remainder when 12 is divided by x?
5
Suppose 62 + 18 = 16*u. Suppose -3*n + 2*b = -11 - 9, -5*n - u*b = 0. What is the remainder when 6 is divided by n?
2
Let f = -616 - -1512. Calculate the remainder when f is divided by 13.
12
Let y(m) = m**3 + 42*m**2 - 4*m - 115. Let w(g) = 6*g**2 + g - 1. Let z be w(1). Let x(v) = 2*v + 6. Calculate the remainder when y(-42) is divided by x(z).
17
Suppose -5*m + 3*m = -5*x + 339, 0 = 2*x + 3*m - 128. Let o(c) = c**3 + 17*c**2 + 27*c - 31. Calculate the remainder when x is divided by o(-15).
11
Let h(r) = 9*r + 372. What is the remainder when 45 is divided by h(-39)?
3
Suppose -4*a + 60*w - 61*w + 164 = 0, -5*w = 3*a - 106. Calculate the remainder when 245 is divided by a.
35
Suppose -5*w - h + 45 = -0*w, 5*w - 45 = h. Calculate the remainder when 52 is divided by w.
7
Let i(o) = -10*o - 4. Let r be i(5). Let w be 16/9 + (-12)/r. Suppose -2*a = -w*k + 4*k - 108, -10 = -5*k. What is the remainder when a is divided by 18?
16
Let o = -63 - -62. Suppose 7*z - 3 = 4*z. What is the remainder when -2 + o/((-1)/5) is divided by z?
0
Let h(j) = 2*j**2 + 17*j - 4. Let w be h(-9). Suppose -w*q + 12 = -3*q. Suppose 6 = d + d. Calculate the remainder when q is divided by d.
0
Let x = 293 + -121. Let h = x - 146. What is the remainder when 51 is divided by h?
25
Let i = 6 - 0. Suppose 2*v + 3*v = -100. Let m = i - v. Calculate the remainder when 102 is divided by m.
24
Let w(c) = -c + 27. Let j be w(26). Let n(s) = 11*s**3 - s + 1. What is the remainder when (j + 5/15)*24 is divided by n(1)?
10
Suppose 5*o - 4 = -f, -2 + 3 = 2*f + 3*o. Let n = 2 - f. Suppose -n*w + 24 = -6. What is the remainder when w is divided by 4?
2
Let q(k) = -2*k + 80. Let d be q(20). Suppose -3*f = -d + 7. Calculate the remainder when 17 is divided by f.
6
Suppose 0 = -7*n + 4*n + 33. Suppose -2*f + 860 = 2*f. Suppose -9*d = -4*d - f. What is the remainder when d is divided by n?
10
Let f = 79 + -87. Let a(v) = -8*v - 36. What is the remainder when 109 is divided by a(f)?
25
Suppose y + 3*f = 37, y + 185 = 6*y - 5*f. Calculate the remainder when 1*y*6/6 is divided by 14.
9
Let h(q) = -2*q**3 - 13*q**2 - 9*q - 9. Calculate the remainder when 59 is divided by h(-6).
5
Let m = 1195 + -546. Calculate the remainder when m is divided by 93.
91
Let z = 1004 - -858. What is the remainder when z is divided by 27?
26
Suppose 0*b - 5*b + 2*z + 606 = 0, -2*b + 231 = 3*z. Calculate the remainder when b is divided by (2/4)/(3/186).
27
Let h = -141 - -182. Suppose -3*q + 98 = -268. What is the remainder when q is divided by h?
40
Let k be 50/16 + 2/(-16). Suppose -61 = -i - k. Calculate the remainder when i is divided by 15.
13
Let o = -75 + 77. What is the remainder when o is divided by 1?
0
Suppose 4*l = 2*p + 22, 4*p - l + 7 = -2. Let v(i) = -4*i - 2. What is the remainder when 2 is divided by v(p)?
0
Let b(u) = 17*u - 469. What is the remainder when b(41) is divided by 40?
28
Let a be 20/(-5) - (-7 - -3). Suppose -2*o - 2*o - 2*f = 44, 4*o - 4*f + 56 = a. Let w = 2 - o. Calculate the remainder when 39 is divided by w.
11
Let y = -5 + 3. Calculate the remainder when (-18 - 1612/(-91))/(1/(-21)) is divided by (12/(-8))/(1/y).
0
Suppose -7*x - 49 = -8*x + 4*j, -4*x + 3*j = -144. Wha