 the remainder when p is divided by k.
51
Suppose 4*a - 2*s - 208 = 0, -27*a - 4*s + 260 = -22*a. Suppose -46 = 3*z - 508. Calculate the remainder when z is divided by a.
50
Let r(a) = 85*a**2 - 12*a - 67. What is the remainder when r(-4) is divided by 11?
10
Let w = -24 + 28. Suppose -2*y + 5 = -w*d + 39, 5*d = 5*y + 30. Let b = -7 + 38. What is the remainder when b is divided by d?
9
Let y(p) = 2*p**3 - 5*p**2 + p + 6. Let q(d) = -d**3 + 14*d**2 + 20*d - 5. What is the remainder when q(15) is divided by y(3)?
16
Let w = -9441 + 10688. Calculate the remainder when w is divided by 2.
1
Let r = 893 - 750. Suppose 35*f - 347 = r. Calculate the remainder when 208 is divided by f.
12
Let g(w) = -17*w - 101. Let h be g(-18). Suppose 8*d = -4*f + 9*d + 275, 3*f - h = 2*d. Calculate the remainder when f is divided by (-44)/(-5) + 2/10.
6
Suppose 3*l = x - 5, -5*l - 13 = -2*x - 5. Suppose 4*h + 2*d - 484 = 0, -h - d = 2*h - 363. Calculate the remainder when h is divided by (500/20)/(l - -3).
21
Suppose 14*i + 70 + 2674 = 0. Let q = i + 238. Calculate the remainder when q is divided by 12.
6
Let w = -751 + 787. Calculate the remainder when 986 is divided by w.
14
Let c = 2091 + -1529. Calculate the remainder when c is divided by 41.
29
Suppose 860 = 2*g - 5*q, 5*g + 302 = -2*q + 2510. Calculate the remainder when g is divided by 159.
122
Let o(w) = 95*w + 125. Let i(g) = -47*g - 61. Let c(d) = -5*i(d) - 3*o(d). What is the remainder when c(-5) is divided by 13?
11
Let l(z) = 10*z**3 + 1. Let b = -13 - -7. Let y(s) = s + 7. Let w be y(b). Calculate the remainder when 50 is divided by l(w).
6
What is the remainder when ((-773)/(-4))/((-406)/(-1624)) is divided by 26?
19
Suppose -3*g + 4*x + 11 - 5 = 0, -3*g - 5*x = -6. Suppose 4*z - 468 = -4*j, -g*z + 0*j + 3*j = -214. Calculate the remainder when z is divided by 39.
35
Let t(w) = -4*w**2 + 12*w + 8*w + 23*w + 7 - w**2. Suppose -17*c = 51 - 187. Calculate the remainder when 90 is divided by t(c).
28
Let d(u) = -20*u + 190. Let p be d(7). Suppose 114*m - p = 109*m. Suppose -3*z = 2*z - 140. What is the remainder when z is divided by m?
8
Let y = 497 - -278. Calculate the remainder when y is divided by 20.
15
Suppose 2*x - 492 = -84. What is the remainder when 55 is divided by 18/30 - 1*x/(-10)?
13
Suppose 14*i - 438 = i + 485. What is the remainder when 706 is divided by i?
67
Let w(l) = 6*l + 29. Let k be w(-5). Calculate the remainder when (k/(-5) - -5)*30 is divided by 54.
48
Let k(z) = -z**3 - 3*z**2 + 2*z + 3. Let p be k(0). Suppose -2*s = -4*o + 144, -4*s + 6*s = p*o - 109. Calculate the remainder when 487 is divided by o.
32
Let i(g) = -4*g + 70. Let y be i(13). What is the remainder when 165 is divided by (y/24)/(1/60)?
30
Suppose 13*m + 4136 = 57*m + 3*m. What is the remainder when 558 is divided by m?
30
Suppose 5*h + 4 + 38 = -4*w, -4*w + h - 30 = 0. Suppose -y - 1 = 3*q - 6, 4*q - 14 = -5*y. What is the remainder when (-43 + y)*8/w is divided by 22?
19
Let f(r) be the second derivative of 3*r**4/4 + r**3/3 + 3*r. Suppose -5*t + 3*h - 5 = 5*h, 2*h + 1 = -t. What is the remainder when f(t) is divided by 2?
1
Let u(p) = -p**3 - 11*p**2 + 8*p + 5. Let d be (-2)/(-9) - (-10)/(-225)*545. Let z = -4 - d. What is the remainder when u(-12) is divided by z?
13
Let p(j) = 798*j**3 + 2*j**2 - 2*j - 2. What is the remainder when p(1) is divided by 204?
184
Suppose 16*v + 20 = 18*v. Let a = -129 - -203. Calculate the remainder when 2/v + (4 - a/(-5)) is divided by 4.
3
Calculate the remainder when -9 - -90 - (-14 + 1) is divided by 52.
42
Suppose -10*g - 5*g = 0. Let n(z) = -z + 31. Calculate the remainder when 277 is divided by n(g).
29
Let d = 1596 + -1428. Calculate the remainder when d is divided by 55.
3
Suppose -197*v + 57306 = 128*v - 2169. What is the remainder when v is divided by 56?
15
Let i(t) = -t**2 - t + 7. Suppose -5 = -o + 12. Let j(z) = -2*z**2 + 36*z + 14. Calculate the remainder when j(o) is divided by i(0).
6
Let j be ((-39)/(-26))/(3/(-20)). Let o(n) = -2*n + 7. What is the remainder when 104 is divided by o(j)?
23
Let t be (-22)/(-3) - ((-22)/33 + 2). What is the remainder when (109/(-3))/(2/t)*-3 is divided by 33?
30
Suppose 11 = x + 4. Suppose -u = 4*z - 55, 13*u - 14*u + 2*z = -97. Calculate the remainder when u is divided by x.
6
Suppose 0 = 6*j - j - 20. Let v = -2785 - -2827. What is the remainder when v is divided by j?
2
Let o = 3 + -3. Let b be (-8)/(-6)*39/26. Suppose 26 = 3*v - 4*d - 10, -v + b*d + 10 = o. What is the remainder when 63 is divided by v?
15
Let y = -64 - -67. Suppose -y*n = n - 4, -v = -2*n - 6. Suppose 0 = -6*i + 7*i - 55. Calculate the remainder when i is divided by v.
7
Let q = 153 - 251. Let t = q - -175. Calculate the remainder when t is divided by -54*3/(-6)*12*(-2)/(-24).
23
Suppose 5*c = 2*u + 437, -4*u - 178 = -2*c - 0*c. Let w = 28 + c. What is the remainder when w is divided by 24?
19
Let i be (-363)/(-12) + (-17)/4 + 4. Let p = 99 - 60. Calculate the remainder when p is divided by ((-4)/i*5)/((-4)/54).
3
Calculate the remainder when -10 + (2120/742)/(2/259) is divided by 68.
20
Let t = -1169 + 1199. What is the remainder when 809 is divided by t?
29
Let r(y) = -5*y**3 + 10*y**2 + 46*y - 5. What is the remainder when r(-5) is divided by 60?
40
Let w(n) = n**2 + 2*n + 2. Suppose -5*a + 184 + 756 = -5*r, 4*a = 5*r + 936. Let o = 196 + r. Calculate the remainder when w(8) is divided by o.
10
Let w(z) = 67*z - 308. What is the remainder when 5289 is divided by w(5)?
24
Calculate the remainder when (17/8)/((-23)/(-506)) + (-9)/12 is divided by 17.
12
Suppose -8*n + 72 = 16. What is the remainder when ((-2)/5)/(n/(-70)) is divided by 1?
0
What is the remainder when 8/(-192) - 231554/(-48) is divided by 2406?
12
Let g = -2566 + 7414. Calculate the remainder when g is divided by 33.
30
Let q(x) = -x**2 - 2*x + 25. Let m be 45/(-5) - (-1)/((-1)/(-3)). What is the remainder when 2/(-6*(-4)/36) is divided by q(m)?
0
Let u(o) = 261*o + 9097. Calculate the remainder when 236 is divided by u(-34).
13
Suppose -1991*i + 1954*i + 49987 = 0. What is the remainder when i is divided by 23?
17
Suppose -9*q + 6*q + 171 = 0. Suppose 0 = -4*m + 213 - q. Let a = -3 - -26. Calculate the remainder when m is divided by a.
16
Let o(s) = s**3 - 100*s**2 - 299*s - 427. What is the remainder when o(103) is divided by 60?
3
Suppose 2*n + 25 = 93. Let i = -34 + n. Suppose i = 33*q - 32*q - 41. What is the remainder when q is divided by 24?
17
Let l = -1674 + 1920. Calculate the remainder when l is divided by 41.
0
Suppose -56*u = -53*u - 603. Let a = u + -171. Calculate the remainder when a is divided by 18.
12
Let n(s) = 28 - 384*s**2 - s**3 - 370*s**2 + 770*s**2 - 18*s. What is the remainder when n(14) is divided by 10?
8
Let y(c) = 3*c - 3. Let k be y(2). Suppose -32 = -k*o + 2*o. What is the remainder when o is divided by (3 - (-391)/(-51))/(2/(-3))?
4
Suppose -15*i + 29050 = 21*i + 14*i. What is the remainder when i is divided by 53?
51
Let t = 21 - 87. Let n = t + 49. Let x = 8 - n. Calculate the remainder when x is divided by 14.
11
Let w(z) = -12 - 12*z + 11 + 0*z - 14. Let q be w(10). Let p = -63 - q. Calculate the remainder when p is divided by 38.
34
Calculate the remainder when 67672/55 + (5 + (-93)/15)/(-2) is divided by 1.
0
Let o(n) = 16*n - 49. Calculate the remainder when ((-273)/14)/3*(-1 - 13) is divided by o(6).
44
Let h = 155 - 145. Suppose -609 = -h*m - 11*m. What is the remainder when m is divided by 11?
7
Suppose 0 = -4*m - m. Suppose -p + 4*p - 10 = -4*x, -4*x + 3*p + 22 = m. Suppose 3*y = 4*f + 231, 3*f + x = -5. What is the remainder when y is divided by 38?
35
Let o(s) = -379*s + 58. Calculate the remainder when 2839 is divided by o(0).
55
Let n be 58/4*1*(-8 - -14). Suppose -8*y + n = -65. Let a = 0 + 4. What is the remainder when y is divided by a?
3
Suppose -2*n - 263 = -c + 735, 2*c - 2*n - 1986 = 0. What is the remainder when c is divided by 45?
43
Let n(s) = -s**2 - 10*s + 11. Calculate the remainder when n(-9) is divided by (2/(-8))/(((-1679)/1104)/73).
8
Let u = 5678 + -5227. Calculate the remainder when 531 is divided by u.
80
Suppose 14*h - 9 = 11*h. Suppose -5*v = h*g - 159, 0*v - 4*v - 212 = -4*g. Calculate the remainder when 368 is divi