). Calculate the remainder when p(-12) is divided by 6.
2
Suppose 3*l - 101 = 4. Let b = l + -12. Let u = b + -16. What is the remainder when 68 is divided by u?
5
Let d = 1080 + -295. Suppose -26*m + d + 12371 = 0. What is the remainder when m is divided by 10?
6
Suppose j + 65 = 74. Suppose 5*i = -3*s - j, 2*s - 21 = 5*i - 2. What is the remainder when 112 is divided by -3 - ((s - 29) + 5)?
17
Let k = -22 - -20. Let y(q) = q**3 + 2*q**2 - 2*q - 4. Let p be y(k). Let x(z) = 2*z**2 + 11. Calculate the remainder when x(p) is divided by 3.
2
Let p(c) = -3*c**3 - 9*c**2 + 8*c + 36. Calculate the remainder when 724 is divided by p(-5).
140
Suppose -2*h = -10, 0 = f - 4*h + 6*h - 13. What is the remainder when (545/(-5))/(2 - f) is divided by (-6)/(-21) - ((-528)/14 - -1)?
35
What is the remainder when (724/12)/((-16)/(-528)) is divided by 35?
31
Suppose 4*k + 978*d - 11110 = 975*d, -8325 = -3*k - d. What is the remainder when k is divided by 52?
17
Let d be (-66 + -2 + 2)*1. Calculate the remainder when -3 + (-11)/(d/1242) is divided by 71.
62
Let v(d) = -d**3 - 29*d**2 + 52*d - 88. Calculate the remainder when v(-31) is divided by 7.
5
Let p(h) = h**3 + 10*h**2 - 15*h - 42. What is the remainder when p(-4) is divided by 15?
9
Suppose 0*q = 12*q - 36. Let h(o) = o**3 - 3*o**2 + 11*o - 10. What is the remainder when 89 is divided by h(q)?
20
Let n = 413 + -414. What is the remainder when 277 is divided by 39 + n - 2 - (-44)/11?
37
Let h = 16441 - 16392. What is the remainder when 129 is divided by h?
31
Let o = 66 - 19. Let z = 51 - o. Suppose 0 = -d + z*p + 41, -200 = -4*d + p - 3*p. Calculate the remainder when d is divided by 10.
9
Let i be (100/(-10))/(0 - -1). Let f(r) = -2*r - 4. Suppose -17*a - 3*l = -12*a - 383, l = -4*a + 312. Calculate the remainder when a is divided by f(i).
15
Calculate the remainder when 2/(-3) + 26/156*5692 is divided by 192.
180
Let u be ((-24)/(-5))/((-6)/(-60)). Suppose 0 = 3*i + 3*q - q - u, 4*q + 48 = 2*i. Suppose 44 = 4*w - 0*w. What is the remainder when i is divided by w?
7
Suppose -1003*h + 972*h = -155. Calculate the remainder when 289 is divided by h.
4
Let s = -26320 - -26334. Let d(y) = 4*y**2 + y. Calculate the remainder when s is divided by d(-1).
2
Let l(o) = 7*o + 312. Suppose f = -f + 38. Calculate the remainder when l(-26) is divided by f.
16
Let p(d) = 23*d**2 - 144*d - 8. Calculate the remainder when p(7) is divided by 23.
19
Let z(c) = 2*c**3 + 58*c**2 + 267*c + 17. What is the remainder when 1221 is divided by z(-7)?
5
Let t(j) = 5 + 11 - 2*j + 18*j - j**3 - 15*j**2. Let y(d) = d**3 - 31*d**2 + 3*d - 109. Let g be y(31). What is the remainder when 47 is divided by t(g)?
15
Let y be -2*18/14*-14. Suppose 2*o - y = 6. Let i = -656 + 662. What is the remainder when o is divided by i?
3
Suppose d = -3*j + 24, 6*d - 2*j - 64 = 4*d. Let t be (-3)/(-12) - (-37)/(-4). Let r = t + d. What is the remainder when r is divided by 11?
10
Let x = 514 - 200. Suppose x = 12*o - 142. Let r(g) = -225*g**3 - g**2 + 1. Calculate the remainder when r(-1) is divided by o.
35
Let u(m) = -25*m - 2581. What is the remainder when 238 is divided by u(-105)?
18
Let t = 777 - 710. Calculate the remainder when t is divided by (6/(-4))/(6/(-96)).
19
Suppose -1366 = -19*i - 131. What is the remainder when i is divided by 15?
5
Calculate the remainder when -188*-74*(-10)/(-80) is divided by 573.
20
Suppose -2*x + 120 = -3*w, -31 - 303 = -5*x - w. What is the remainder when 38/228 + (1 - (-1013)/6) is divided by x?
38
Suppose 4*q - b + 1 = 0, 2*q = -0*q - 3*b - 11. What is the remainder when 125 is divided by q - 169/(-10) - (-8)/80?
13
Let l = 330 - 357. What is the remainder when 88 is divided by (l/2)/(33/(-110))?
43
Let p = 889 - 398. Suppose -p = 8*d + 1621. Let u = 418 + d. Calculate the remainder when u is divided by 26.
24
Let x(g) = g**3 + 11*g**2 + 16*g + 4. Let t(a) = 32*a - 135. Let d be t(4). What is the remainder when 438 is divided by x(d)?
86
Let i = -5 - -12. Suppose 4*q - i*q = -6. Suppose 3*y - 6 = q*l + 83, 3*l = 4*y - 117. What is the remainder when y is divided by 7?
5
Let s be 47565/180 + 6/8 + -1. Let y = s + -200. Calculate the remainder when 251 is divided by y.
59
Suppose -2*o + 43 - 3 = 0. Suppose 30*g - 2272 = 760 - 332. What is the remainder when g is divided by o?
10
Suppose k - 108 + 38 = 0. Suppose 0 = 13*u - 9*u - 731 + 187. Calculate the remainder when u is divided by k.
66
Calculate the remainder when 188 is divided by (-536)/(-402) + (-754)/(-6).
61
Suppose -2*x - 4*v = -149 - 119, x - 4*v = 134. What is the remainder when 409 is divided by x?
7
Let l(q) = 37*q**3 - 21*q**2 + 41*q - 3. Let s be l(2). Suppose -39 + s = 4*r. Calculate the remainder when 187 is divided by r.
61
Suppose -3*f = -5*p - 146, 4*p - 7 - 13 = 0. Suppose -1693 - 35771 = -8*m. Suppose 12*n - m = -1275. Calculate the remainder when n is divided by f.
56
Let b = 159993 + -159966. Let q(r) = 4*r + 8. Let h(m) = 7*m + 15. Let n(o) = 3*h(o) - 5*q(o). Calculate the remainder when b is divided by n(4).
0
Let w(b) = 5*b**2 - 27*b - 4. Suppose -3*t + 59 + 37 = 0. What is the remainder when w(9) is divided by t?
30
Let r(u) = -63*u - 370. Let z = -11 - -22. Calculate the remainder when z is divided by r(-6).
3
Suppose 6*b + 560 = 21*b - b. Calculate the remainder when 795 is divided by b.
35
Suppose 0 = 1302*g - 1303*g + 25 - 4. Calculate the remainder when 396 is divided by g.
18
Let f(u) = 7*u + 170. Let p = -22 - -60. Calculate the remainder when p is divided by f(-24).
0
Let g = 315 + -313. Suppose -3*p - 3*v = -450 - 228, -5*p + g*v = -1102. Calculate the remainder when p is divided by 19.
13
What is the remainder when (-6)/(-14) + (-1 - -3 - 29403/(-189)) is divided by (-1 + 1)/(-1) + (2 - -16)?
14
Suppose -3*v = -5*b + 3*b - 161, b = -4. What is the remainder when 449 is divided by v?
41
Suppose 4*m = -3*v + 309, -4*v - 2*m = -7*v + 327. What is the remainder when v is divided by 39?
29
Let r(d) = d**2 + 22*d - 248. Calculate the remainder when r(13) is divided by 53.
48
Suppose 0 = 5*b + 3*p + p - 301, 5*b = -2*p + 293. Let r = -62105 + 62117. What is the remainder when b is divided by r?
9
What is the remainder when 534 + (-10 + 34)/(-8) is divided by 53?
1
Let h be 1*-2 - (-119)/(-17). Let f(w) = -2*w + 58. Suppose 104 = -5*b + 9*b. What is the remainder when f(h) is divided by b?
24
Let g(z) = 3*z**2 - 27*z - 15. Let w be g(12). Let r = w - 80. Let o = -66 - -115. Calculate the remainder when o is divided by r.
10
Calculate the remainder when 36/10*(-5200)/(-78) is divided by 62.
54
Suppose 12 = -4*q, -2*x + 3*x - 5*q = -25. Suppose -129 + 204 = u. Let k = u + x. What is the remainder when k is divided by 13?
9
Suppose 3*l - 1506 = -1464. What is the remainder when 12/(-10)*3/9*-55 is divided by l?
8
Suppose 3*g + 6 = 0, 0 = 7*k - 2*k - 2*g - 2614. Let n = k - 302. Calculate the remainder when n is divided by 45.
40
Let c = -6317 - -6335. What is the remainder when 195 is divided by c?
15
Let i be 2/(6/21 + (-256)/882). Let u = -397 - i. What is the remainder when u is divided by (14 - 0) + (4 - 2)?
12
Calculate the remainder when 29 + (-21156)/(-205) + 11/(-5) + 1 is divided by 0*(-2 + 3) + 8.
3
Let x(r) = 1163*r - 7668. Calculate the remainder when 528 is divided by x(7).
55
Suppose 21*i = -3*f + 24*i + 519, -498 = -3*f - 4*i. Suppose -w = 4*z - 52, f = 3*w + 4*z - 6*z. Calculate the remainder when 215 is divided by w.
47
Suppose 0 = -3*r + 527 + 220. Let d = -236 + r. What is the remainder when 47 is divided by d?
8
Let m(d) be the first derivative of 11*d**2 + 55*d + 84. What is the remainder when m(7) is divided by 14?
13
Let z(x) = 21*x + 125. What is the remainder when 1/(8/68)*(-116)/(-29) is divided by z(-5)?
14
Let g = 156 + -61. Let p = 0 + 0. Let f(j) = -j**3 + j**2 - j + 32. What is the remainder when g is divided by f(p)?
31
Let l(d) = d**3 + 23*d**2 + 132*d + 2. Calculate the remainder when 173 is divided by l(-12).
1
Suppose 2*j + 4*q = -1102 + 5254, 7*j = 3*q + 14481. Calculate the remainder when j is divided by 12.
6
Let q = 140 + -105. Let c(s) be the third derivative of -s**4 - 13*s**3/6 - 9*s**2. Calculate the remainder when c(-6) is divided by q.
26
Suppose -19*j + 163 = -985 + 122. Calculate t