is divided by p.
5
Suppose -3*r + 5*a + 24658 = 0, 2*r = a + 21581 - 5126. What is the remainder when r is divided by 23?
20
Suppose 15 - 89 = -2*m + 2*f, 5*f = 0. Suppose -5*q - m = -272. Calculate the remainder when 187 is divided by q.
46
Let x(m) be the first derivative of 0*m - 2/3*m**3 - 3/4*m**4 + m**2 - 8. Calculate the remainder when 34 is divided by x(-2).
10
Suppose -71*j - 408 = -67*j. Let o = 187 + j. Suppose -18*t + o = -13*t. Calculate the remainder when 150 is divided by t.
14
Let g(u) = u**3 + 6*u - 280. Let i be g(0). Let t = i - -314. What is the remainder when t is divided by 27?
7
Suppose -l = 4*l - 80. Let o(i) = 18 - 21*i - 6*i + 66*i - i**2 - 22*i. What is the remainder when 100 is divided by o(l)?
32
What is the remainder when 12952 is divided by (-18)/(-4)*(-15)/((-3375)/7900)?
154
Let x = -15833 - -15845. Suppose -2*d + 110 = -124. What is the remainder when d is divided by x?
9
Let k(c) = c**3 + 23*c**2 - 60*c - 219. What is the remainder when 154 is divided by k(-25)?
30
Suppose -2*o + 27*y + 1396 = 22*y, -4*o + 2846 = -y. Calculate the remainder when o is divided by 84.
41
Suppose -u - 2*d + 346 = 0, 160 = u - 2*d - 210. What is the remainder when u is divided by 340?
18
Let m(p) = 5*p**2 + 31. What is the remainder when m(6) is divided by 49?
15
Suppose -i = i - 30. Suppose 11303 + 2467 = 85*b. What is the remainder when b is divided by i?
12
Let f = 20 - 16. Let b = 84 - 58. Calculate the remainder when b is divided by (-4)/(f + -8) - -5.
2
Suppose 2*i + o - 608 = 0, 5*i + 262 = -5*o + 1777. Suppose -3*v + i = c, -v + 124 = -3*c + 9. Calculate the remainder when v is divided by 28.
19
Let l be 2*1 - (0/(-3) + -2). Let p(b) = b**3 - 3*b**2 + 11*b - 26. Calculate the remainder when 169 is divided by p(l).
33
Let h be -12*3*(33/36 - 1). Let p(t) = t**3 - 5*t**2 + 6*t + 14. Calculate the remainder when 289 is divided by p(h).
9
Let y = 19 - -41. Suppose -y = -4*x - 0*x. Calculate the remainder when 27 is divided by x + 12/10 + (-5)/25.
11
Let c(o) = -o**2 + 7*o + 335. What is the remainder when 60 is divided by c(21)?
19
Let a = 33 - 31. Let r be (-6)/(-8)*a*158. Let p = r + -133. What is the remainder when p is divided by 21?
20
Let w = -8742 + 8825. What is the remainder when 1299 is divided by w?
54
Suppose 6*c + 20901 = 25161. What is the remainder when c is divided by 196?
122
Suppose 0 = s + 2*n - 1293, -6374 = 387*s - 392*s + 3*n. Calculate the remainder when s is divided by 571.
137
Let p be -4 + 2 - 5 - 831. What is the remainder when (p/(-3))/((-256)/(-24) - 10) is divided by 60?
59
Suppose 5 = -6*q + 125. Calculate the remainder when (5/q)/((-3)/(-516)) is divided by 9.
7
Let q = -329 + 338. Calculate the remainder when (q + -2)*(-6142)/(-259) is divided by 12.
10
Suppose 12 = -11*a + 14*a. Suppose -3*o - 10 = -a*n - o, 4*o = -4*n + 28. Suppose 3*x = n*x - 101. Calculate the remainder when x is divided by 52.
49
Let z = 79 + -65. Let m = 1881 - 1281. Calculate the remainder when m is divided by z.
12
Let k = -59 - -90. Suppose -h - 1 = 0, -6*j + j = 4*h - 11. Suppose -j*u = -4*t - k, 4*u + 0*t = 2*t + 28. Calculate the remainder when u is divided by 3.
2
Let z = 38 - 36. Suppose 12 = -3*s, -z*s = -m - 0*m + 473. Calculate the remainder when m is divided by 36.
33
Suppose 5*m - 14 = -2*l + 90, -l + 45 = 6*m. Calculate the remainder when 3874 is divided by l.
55
Suppose 2*p + w - 7 = 0, 7 = 3*p - 0*p + 5*w. Suppose -p*a + 220 = r, -2*r + r = 4. What is the remainder when 268 is divided by a?
44
Let v be (-2)/(-8)*(-7 - -7). Suppose v = 12*t - 9*t + 5*b - 604, 5*b = -4*t + 797. Calculate the remainder when t is divided by 49.
46
Suppose -3*y = -2*y, -5*w + 6*y = 3*y - 1280. What is the remainder when w is divided by 11?
3
Let m(w) = 4*w - 27. Let h be m(9). Let o be 3 - (-14 - h/(-3)). Suppose 16*z - o*z = 82. Calculate the remainder when 79 is divided by z.
38
Let h be ((-14)/(-8) - -1)/((-2)/16). Let m be 33/7 + h/(-77). Suppose -m*x = 4*l - 46, 52 = 4*l + 2*x - 0*x. What is the remainder when l is divided by 5?
4
Let c = 35383 + -35003. Suppose 0*s = 2*s + 3*w - 35, -3*s = 4*w - 52. What is the remainder when c is divided by s?
12
Let h be (-26)/(-10) - (-4)/10. Let g = -18 + h. What is the remainder when 114 is divided by (g + 0)*3/(-5)?
6
Calculate the remainder when 1319 is divided by 46361/315 + (-8)/(-36) + (-4)/10.
143
Let c(b) = 18*b - 3. Let g(y) = 5*y - 1. Let h(i) = -2*c(i) + 7*g(i). Let k = -149 - -241. Calculate the remainder when k is divided by h(-20).
16
Suppose 0 = 2*a + 3*a - 50. Suppose 0*z + a = z + 4*k, 0 = 5*z + 2*k - 68. Calculate the remainder when (420/25 - -4)/(4/10) - -2 is divided by z.
12
Let c(y) = 3*y**2 - 29*y - 326. What is the remainder when c(21) is divided by 128?
4
Suppose -2*k = 3*g - 22, g - 2*k = -2*g + 26. Suppose -25 = -3*t + g*n - 9*n, -2*t + 25 = -n. What is the remainder when 1 + 0 - (0 - 38) is divided by t?
9
Suppose -76 - 2 = -2*z. Suppose -x - 4*o + 1295 = 4*x, -5*x = -3*o - 1295. Let l = x + -67. Calculate the remainder when l is divided by z.
36
Suppose -297 - 5059 = -94*k - 9*k. Calculate the remainder when 2283 is divided by k.
47
Suppose -5*w = -5, -4*h + 4*w + 347 = -w. Let m be (-5)/3 - 0 - (-1586)/183. Let j(n) = 2*n**3 - 14*n**2 + 30. What is the remainder when h is divided by j(m)?
28
Suppose 12*i = 14*i - 322. Let z = i + -34. What is the remainder when z is divided by 10?
7
Let b(r) = 7*r**2 + 3*r - 1. Let a = 171 + -157. Suppose -4*v + a = -30. What is the remainder when b(-3) is divided by v?
9
Suppose 4*d + 3*h = -5 + 19, -2*d = 5*h - 14. Suppose 0 = -d*p + 3 + 13. Let i = -3 - -24. What is the remainder when i is divided by p?
5
Let w = -1011 + 1436. Calculate the remainder when w is divided by 61.
59
Suppose 9*d - 8*d = 271. Suppose -4*b - 4*p + d + 305 = 0, 3*p = -4*b + 573. What is the remainder when b is divided by ((-2)/4)/(8/(-288))?
15
Let a(z) = 4*z**3 + 3*z**2 - 2*z. Let r = -376 - -377. Calculate the remainder when 38 is divided by a(r).
3
Let a be (1 - 2)/((-4)/12). Suppose 0*k - a*k + 18 = 0. What is the remainder when 21 + 0 + (-6)/(-18)*6 is divided by k?
5
Suppose 1216 = 3*k + 2*l, l + 402 = k - 0*k. Suppose 3*b + b - k = 3*t, 303 = 3*b - t. Suppose -5*i = -84 - b. What is the remainder when i is divided by 20?
17
Let t be 18/3 - 3/1. Suppose 3363*q + 25 + 14 = 3364*q. What is the remainder when q is divided by (-1 - -24)*1 - t?
19
Let n = -29 - -27. Let u(q) = q**2 - 8*q + 7. Let h(x) = -x**2 + 7*x - 8. Let b(p) = n*u(p) - 3*h(p). Calculate the remainder when b(9) is divided by 25.
21
Suppose 2*c - 101 = -a, -a - 4*c - 477 = -6*a. Let w = -963 + 988. What is the remainder when a is divided by w?
22
Suppose -5*z + 70 = n, 3*n - 15 = z - 3*z. Let o = -3451 + 3490. What is the remainder when o is divided by z?
9
Let k be (-25)/(2275/(-7476)) + 4/(-26). Suppose -51 = -4*r + 5*h, -3*r - 5*h + k = -0*h. What is the remainder when -1 - 0 - (-56)/1 is divided by r?
17
Let c(f) = 2*f**2 - 21*f - 24. Let l = 7 - 4. Suppose -4*z = 3*o - 8*o + 113, -l*o - 5*z = -53. What is the remainder when c(13) is divided by o?
20
Let f = -8185 + 8340. What is the remainder when 1869 is divided by f?
9
Suppose -2*x + 4*x = 22. Let l(b) = -35*b + 17. Let i be l(-6). Suppose -i = -5*f + 3*z, 72*f = 69*f - 5*z + 109. What is the remainder when f is divided by x?
10
Let s be (4 - 6 - -7)/(3/51). Let t = s - 60. What is the remainder when 72 is divided by t?
22
Suppose 5*q + 4*z - 1311 = 0, 18*q + 2845 = 29*q - z. Calculate the remainder when q is divided by 53.
47
Let y(j) = -2*j**2 + 141*j + 1841. Calculate the remainder when 198 is divided by y(-11).
6
Suppose j = 122 + 28. Let i = 587 + -535. What is the remainder when j is divided by i?
46
Suppose m + 40*w + 13 = 37*w, -4*m - 4*w - 12 = 0. Suppose 0 = y - 12 - 4. What is the remainder when y is divided by m?
0
Let o = -406 + 243. Let f = -116 - o. What is the remainder when f is divided by 13?
8
Let r(p) = p**3 - 2*p**2 - 3*p - 30. Let m be r(11). Suppose m - 4359 = -11*i. Calculate the remainder when i is divided by 44.
39
Let j = 2300 + -2189. Calculate the remainder when j is divided by 35.
6
Suppose -2*m + 5*m + 4*x - 240 = 0, m + 5*x - 69 = 0. Let s(r) = -16*r**3 - 1240*r - 1239. Calculate t