 What is the remainder when 17 is divided by p?
8
Let r = 8910 - 8861. Calculate the remainder when 496 is divided by r.
6
Let f = -353 - -507. Suppose -f - 38 = -8*k. What is the remainder when (32/(-10))/(28/(-350)) is divided by k?
16
Let u(c) = 20*c + 17. Let g = 71 - 62. What is the remainder when u(4) is divided by g?
7
Let p = -217 + 367. Let k = -146 + p. Calculate the remainder when 8 is divided by k.
0
Let z(g) = 5*g**2 + 725*g + 458. Calculate the remainder when z(-145) is divided by 175.
108
Suppose -36 = 15*r - 236 - 10. Let y = -3 + 5. Suppose -y*t - 52 = -3*t. Calculate the remainder when t is divided by r.
10
Suppose -6*c + 146 + 70 = 0. Let l be (-6)/((-9)/6*(-8)/(-618)). Let z = l - 166. Calculate the remainder when z is divided by c.
35
Let x = 4236 + -3639. What is the remainder when x is divided by 6?
3
Suppose -36*x = -22*x. Suppose -5*s + 3*n + x*n + 4 = 0, n = 4*s - 6. Calculate the remainder when 24 is divided by s.
0
Let h(u) = u**3 - 24*u**2 + 22*u + 24. Let n be h(23). What is the remainder when (426/6 + -1)/n is divided by 23?
1
Let p(f) = 2*f**2 + 35*f + 22. Let r be p(-17). Suppose 2*w + 3*c + 0*c - 8 = 0, 3*c = r*w - 20. What is the remainder when 73 is divided by w?
1
Let a = 151 - 143. Calculate the remainder when 109 is divided by 102/272 + -1 + 133/a.
13
Let n = 742 + -738. Suppose -2*d = -13*m + 8*m - 2306, -d = n*m - 1153. What is the remainder when d is divided by 105?
103
Let w(u) = -19 - u + 518*u**3 + 17*u**2 - 261*u**3 - 255*u**3. What is the remainder when w(-8) is divided by 27?
26
Suppose 5*k - 150 = -5*y, 2*y = 3*k - 12 + 72. What is the remainder when 2001/24 - y/80 is divided by 25?
8
Let g(t) = -t**2 - 9*t - 9. Let f be g(-16). Suppose 0*n - 4*n - 989 = -5*q, 0 = -q + n + 197. Let p = q + f. What is the remainder when p is divided by 21?
17
Let r(z) = 32627*z - 260993. Suppose -4*p - 2860 = -9*p. Calculate the remainder when p is divided by r(8).
20
Suppose -q + 427 = 2*q - 5*s, 5*q + 5*s - 725 = 0. Suppose q = 182*p - 179*p. Calculate the remainder when p is divided by 25.
23
Suppose 5*u - 145 = 2*w + 38, 152 = 4*u + 4*w. Let l = u - -3. Calculate the remainder when (-13)/(-6)*9/6*24 is divided by l.
38
Let d(x) = 4*x**2 + x + 3. Let g be d(2). Let n be 14*(4 + (-78)/g). Suppose 3*b - n*q - 230 = -63, 0 = 5*q + 25. What is the remainder when b is divided by 9?
4
Let f = -176 + -282. Let g = f - -496. Calculate the remainder when 89 is divided by g.
13
Suppose -5 = 5*m, l = 5*m - 1 + 9. Calculate the remainder when 70 is divided by 21 + l + 1 + -6.
13
Let d be 9/(54/20) - 1/3. Suppose -d*m - 3*v + 12 = -2*m, 0 = m - 4*v - 19. Calculate the remainder when 51 is divided by m.
6
Suppose 0 = 2*s + 8, -193*b - 3*s + 9039 = -190*b. Calculate the remainder when b is divided by 151.
148
Let x = -1527 + 1847. Let t be (2/2)/((-2)/(-34)). Suppose 7*d = t*d - x. What is the remainder when 60 is divided by d?
28
What is the remainder when -1 - 195/(-185) - (-20751)/111 is divided by 22?
11
Suppose q = 5*n + 4011, 0 = 84*q - 82*q + 3*n - 7996. What is the remainder when q is divided by 24?
17
Suppose 1593*h = 1596*h - 9. Let f(y) be the second derivative of y**3 + 3*y**2/2 + 8*y. What is the remainder when 80 is divided by f(h)?
17
Suppose -6 = -5*p + 4. Suppose -7 = 3*x - 1, 4*k + p*x = -212. What is the remainder when 45 is divided by (-4)/3 - k/3?
13
Suppose 0 = -5*c - 5, -12*c + 13*c - 83 = o. Let m be 934/10 + 8/(-20). Let b = m + o. Calculate the remainder when 32 is divided by b.
5
Suppose -3*g - 2 + 11 = 0. Let z be 7/g - (5 - 70/15). Suppose 0 = -a + 2*l + 33, 0 = 3*a + 2*a - z*l - 125. Calculate the remainder when 89 is divided by a.
20
Let n = -23 - -26. Suppose 0 = q - 2, -2*c - 5*q = n*c + 190. Let x = -33 - c. Calculate the remainder when 11 is divided by x.
4
Let q be 2/((15/(-14))/15). What is the remainder when 63 is divided by (-511)/(-49) - 16/q?
8
Let t be (535/(-963))/(1/(-9)). Suppose 240 = t*s - 5*x, 4*s - 5*x = 26 + 163. What is the remainder when s is divided by 6?
3
What is the remainder when 5/(-155) - (-4343074)/2077 is divided by 124?
107
Let q = 68 - 61. Suppose -3*d - 5 = -3*o - q*d, o - 3 = -d. Suppose -5*b - 36 = -3*a, -4*b = o*a - 6*a - 29. Calculate the remainder when 45 is divided by a.
11
Let q = -15 + 20. Suppose -3*u = q*l - 77, 2*l - u - 35 = 2*u. What is the remainder when (-9)/(-2) + (-441)/(-18) is divided by l?
13
Let b(j) = -16*j + 444. Calculate the remainder when 273 is divided by b(19).
133
Let w be 3/36*-8*-7*6. What is the remainder when 1760/w + 88/77 is divided by 22?
20
What is the remainder when (507 - 512) + (-1244)/(-1) is divided by 48?
39
Let m = 352 - 229. Let k(q) = 13*q**2 - 2*q + 7. Let h be k(-3). Let n = -88 + h. What is the remainder when m is divided by n?
39
Suppose m = -3*o + 25, 12*o + 5*m = 16*o - 8. Suppose -o = -t + 3*r, 4*r - 5 = t - 8. What is the remainder when t is divided by 4?
3
Suppose 129*y - 128*y - 3*r - 161 = 0, -4*r = -y + 157. Calculate the remainder when y is divided by 32.
13
Let w = 591 + -394. Suppose -189*t - 4592 = -w*t. Calculate the remainder when t is divided by 18.
16
Suppose -27 = -2*d + 5*j, -4*d + 0*d = -2*j - 46. Suppose 5*o + 3*u = 55, 3*o - 2*u - 3 = 11. What is the remainder when d is divided by o?
3
Let r = -26 + -139. Let q = r - -183. Calculate the remainder when 178 is divided by q.
16
Let s = -3631 + 4120. Calculate the remainder when s is divided by 64.
41
Calculate the remainder when ((-4)/(-6))/((-79410)/(-19845) + -4) is divided by 403.
38
Suppose -2*v - 3*v - 2*v = 0. Suppose 0 = -5*i - 4*t + 105, -4*t - 65 = -5*i - v*t. What is the remainder when i is divided by 3?
2
Let b = -6890 - -6983. What is the remainder when b is divided by 20?
13
Let i(c) = -c**2 + 17*c + 2098. What is the remainder when i(48) is divided by 213?
184
Suppose 217*s = 122*s + 9310. Let g be (-1 - -1)*(-2)/4. Suppose -20 = -g*q - q. Calculate the remainder when s is divided by q.
18
Let g be (39/(-4))/(6/(-536)). Let a = -809 + g. What is the remainder when 115 is divided by a?
53
Suppose -315*z - 625*z + 31960 = 0. Calculate the remainder when 119 is divided by z.
17
Let r = 1637 - 1612. Calculate the remainder when 1497 is divided by r.
22
Let q = -6537 + 7952. What is the remainder when q is divided by 203?
197
Let v(c) = 2*c. Let r be v(1). Suppose 5*t - 281 = 69. Suppose -5*u + 5*i = -t, -2*u + 5*i + 57 = r*u. Calculate the remainder when u is divided by 3.
1
Calculate the remainder when 13/(845/(-26)) - (1 - (-15654)/(-10)) is divided by 98.
94
Suppose -1388 + 2125 = 55*p - 7293. Calculate the remainder when 437 is divided by p.
145
Suppose 0 = -z + 33 + 19. Suppose f + 3*j = -1, 22*f = 24*f + 3*j - 25. What is the remainder when z is divided by f?
0
Suppose 0 = l - 6*l + 25. Suppose 10*o - l*o = -u + 35, -5*o - 25 = -5*u. Calculate the remainder when u is divided by 6/1 + (-5 - -2).
1
Suppose v - 28 = -4*y, 6*y - y - 3*v = 52. Suppose -36 = -4*h - y. Suppose 0 = -j + 11 + h. Calculate the remainder when 34 is divided by j.
16
Let o be 0/((16/(-6) + 3)*3). Let j(i) = i**3 - 2*i + 47. Let r be j(o). What is the remainder when (11/((-77)/14))/((-2)/r) is divided by 17?
13
Let o = -16031 + 16115. What is the remainder when 251 is divided by o?
83
Let z = -31 + 26. Let l = 63 + z. Suppose 0 = -4*q + 8*q - 80. What is the remainder when l is divided by q?
18
Let q = -116 - -121. Suppose -3*m + 65 + 2 = q*l, m - 33 = l. Calculate the remainder when 84 is divided by m.
26
Let b(d) = 79*d - 63. Let x be b(6). Let a = x + -180. Calculate the remainder when a is divided by 13.
10
Suppose 740*o = 683*o + 456. Let w(s) = 9*s + 6. Let r be w(9). Let y = r - 57. What is the remainder when y is divided by o?
6
Let m be 2 + -3 + 24/6 + 0. Let b(c) = -19*c. Let x be b(-1). Suppose m*o - x = 32. What is the remainder when o is divided by 10?
7
Calculate the remainder when (-7 + 2781/(-45))*-10 is divided by 178.
154
Suppose -9*y + 140 = -2*y. Suppose 22 = y*t - 19*t. What is the remainder when 1076 is divided by t?
20
Let d(v) = -40*v**3 + 6*v**2 + 33*v - 7. Calculate the remainder when d(-4) is divided by 15.
12
Suppose 5*z + 14 = 3*u, -7*z - 17 = -2*z - 4*u. Calculate the remainder when (-3 + -58)/z - 3 is divided by 126/11 - 120