5. Calculate the remainder when l(21) is divided by 116.
88
Let q(s) = -8*s**2 - 257*s - 1. Let z = -35 + 66. Calculate the remainder when q(-32) is divided by z.
0
Suppose -18639 = -56*m + 16137. What is the remainder when m is divided by 78?
75
What is the remainder when 210 is divided by -11 + 215 + -13 + 15/3?
14
Suppose 3*f + 51 - 167 = 2*v, 0 = -4*f + 2*v + 154. Suppose 2*k = -5*d + 33, -14 - 1 = -5*k + d. What is the remainder when f is divided by (k - 3)*3 + 5?
6
Let q be 1*-70 - (-9 + 13). Suppose -82 = -3*w - 5*j, -3*w + 4*j + 16 = -2*w. Calculate the remainder when (0 + 2 - q)*(-100)/(-80) is divided by w.
23
Let b be 1/(-2)*(-9 - -9). Suppose b = 74*u - 72*u - 96. Let s = 66 - u. Calculate the remainder when s is divided by 5.
3
Let c = 18 + 65. Let r(i) = -2*i + 10. Let q be r(7). Let j = q + c. Calculate the remainder when j is divided by 27.
25
Let r(a) = a**3 - 13*a**2 + 40*a + 67. What is the remainder when 167 is divided by r(10)?
0
Suppose -l = 3*p - 8, 5*l - 3*p - 8 = 32. Suppose -l = -v + 4. Calculate the remainder when 26 is divided by v.
2
Suppose -f - j - 180 = -4*j, 5*f = 5*j - 940. Let v = 264 + f. Calculate the remainder when 215 is divided by v.
71
Let f(g) = -g**3 + 4*g**2 + 12*g - 31. Suppose -2*p = -2*u + 12, p + u + 0*u = -2. Suppose s + 4*s - 125 = 0. What is the remainder when f(p) is divided by s?
24
Let t(h) = -h**3 + 5*h**2 + 38*h - 97. What is the remainder when 10008 is divided by t(7)?
68
What is the remainder when 1975 is divided by 277 - (936/(-18))/13?
8
Suppose 5*v = 16 - 6. Let c be ((-5)/(15/44))/(14/(-21)). Calculate the remainder when 65 is divided by c + (-11 - (-8)/v) + 3.
11
Let g(y) = 21*y - 101. Let s be g(7). Suppose s*t - 96 = 44*t. What is the remainder when 190 is divided by t?
46
Suppose 0 = 103*j + 4768 - 7858. Calculate the remainder when j is divided by (19/(-4))/(1/(-4)).
11
Let l be 143*1 + (-10)/5. Let t = -51 + l. Calculate the remainder when t is divided by ((-80)/560)/((-3)/483).
21
Suppose 0*o - 163 = -2*o + 3*d, 0 = -5*o - d + 433. Calculate the remainder when 510 is divided by o.
80
Let f(o) = o**3 - 34*o**2 + 64*o + 30. Let y be f(32). Suppose 395*z - y = 389*z. What is the remainder when z is divided by 1?
0
Let q be (-6)/90*-5*-3. Let d be q*((-222)/42 - 4/(-14)). Suppose -d*s + 10 - 5 = 0. Calculate the remainder when 12 is divided by s.
0
Suppose 0 = -m + 3*v + v - 63, -m = 5*v + 27. What is the remainder when 18 is divided by m/(-7) + (-14)/(-49)?
4
Let o(a) = 34*a + 340. What is the remainder when 373 is divided by o(-9)?
33
Suppose -4*v = -9*v + 35. Let i = -14757 + 14789. What is the remainder when i is divided by v?
4
Suppose 5*g = 3*j + 10, 0 = 2*g + 19*j - 15*j - 4. Suppose 0 = -2*r + u + 50, 7*u - g*u = -r + 36. What is the remainder when r is divided by 10?
6
Let w(g) = g**3 + 15*g**2 + 5. Let u be w(-15). Suppose -u*v = 9 + 16. Let f = 8 + v. Calculate the remainder when f is divided by 3.
0
Suppose 4144 = i - 2*h, 5*i = 3*h + 26354 - 5669. What is the remainder when i is divided by 5?
4
Suppose -3*a = -4*q + 382, 3*q - 671*a = -676*a + 243. What is the remainder when 890 is divided by q?
71
Suppose 9*g - 53 - 28 = 0. Calculate the remainder when (5 - g) + 7 + 1 + 39 is divided by 35.
8
Let v(n) = -n**3 + n**2 + 60. Suppose 0 = -3*l + l - w + 3, 3*l - 1 = 2*w. Let s = l - -8. Calculate the remainder when v(0) is divided by s.
6
Suppose 0 = 3*b + b - 392. Let t(r) = 5*r + 23. Let y be t(9). What is the remainder when b is divided by (y/(-8))/(2/(-16)*2)?
30
Let m be (66/30 - -6)*20. Let r = m + -4. What is the remainder when r is divided by 54?
52
Suppose -36*f + 1207 = -25*f - 322. What is the remainder when 551 is divided by f?
134
Suppose 1 = g - 0. Let f(a) = 3*a + 50*a**2 - 1 + 25*a**2 - 48*a**2 + 50*a**2. Calculate the remainder when f(g) is divided by 27.
25
Let t(y) = -2*y**2 + 17*y - 6. Let p be t(7). Calculate the remainder when (-2 - 474/(-30)) + 3/p is divided by 5.
4
Let n = -19112 + 19168. Calculate the remainder when 1080 is divided by n.
16
Let y = -1600 + 1637. What is the remainder when 2294 is divided by y?
0
Let c(f) = f**3 + 6*f**2 + f - 6. Let b(m) = -2*m**2 + m - 2. Let p be b(-1). Let h(t) = t**3 - 2*t**2 + 9. What is the remainder when h(4) is divided by c(p)?
13
Suppose 324 = 4*r - 2*m, -59 = -r - 7*m + 2*m. Suppose 0 = -10*p - r + 249. Suppose -2*y - y = -69. What is the remainder when y is divided by p?
6
Let g(v) = -5*v - 2. Suppose -4*w + 32 = 3*h + 44, -3*h = -6*w - 78. What is the remainder when g(-5) is divided by h?
7
Let o = -295 + 1216. Suppose 24*b = -o + 2649. Calculate the remainder when 286 is divided by b.
70
Suppose u = 10*u - 108. Suppose 5*t = 357 - u. Suppose -18 = -0*y - y. What is the remainder when t is divided by y?
15
Let b(c) = 2*c**2 - 2*c - 49. Let n be b(-7). Suppose 0 = 40*z - 43*z + n. What is the remainder when z is divided by 8?
5
Suppose -t + 2 = -3*p + 10, 4*p - 3*t - 9 = 0. Suppose 68 = i + 6*l - 5*l, -2*i = -2*l - 128. Let f = i + -53. Calculate the remainder when f is divided by p.
1
Let o = -15 + 20. Suppose -35 = -0*u - o*u. Let p = 73 + -60. Calculate the remainder when p is divided by u.
6
Let x = -11864 + 12048. Calculate the remainder when x is divided by 106.
78
Suppose 9*q + 2061 - 510 = 20*q. Calculate the remainder when 154 is divided by q.
13
Suppose 39 = -2*v - 1. What is the remainder when (414/63)/((-4)/(-14)) is divided by (v/8)/((-2)/4)?
3
Let l(n) be the first derivative of n**3 - 43*n**2/2 + 19*n - 211. What is the remainder when 112 is divided by l(14)?
2
Let i = 164 + -151. Let m = 897 + -865. Calculate the remainder when m is divided by i.
6
Suppose 0 = -46*m + 53*m + 322. Let n be (-6)/15 - (-1610)/25. Let h = m + n. Calculate the remainder when 123 is divided by h.
15
Let i = 58 + -54. Suppose o + 61 = 5*g - 0*g, 2*g + i*o = 42. Suppose -6*j + 184 + 14 = 0. What is the remainder when j is divided by g?
7
Suppose 0 = -7*z + 29*z - 10274. Calculate the remainder when z is divided by 122.
101
Suppose -v + 63 = 5*q - 6, -3*v + q = -111. What is the remainder when v is divided by 22?
17
Let p = 35655 - 35636. Calculate the remainder when 90/4*12/9 is divided by p.
11
Let i(f) = 9*f**2 + 7*f + 1. Calculate the remainder when i(4) is divided by 55.
8
Let w = 64 + -59. Let u(y) = 4*y**3 - 18*y**2 - 8*y - 7. Calculate the remainder when u(w) is divided by 1.
0
What is the remainder when 11580/24*(-84)/(-70) is divided by 98?
89
Suppose 0 = -x - 9 + 15. Suppose 0 = -3*h + 7 - 19, x = -2*k - 2*h. What is the remainder when 1460/24 - k/(-6) is divided by 9?
7
Let r = -82 - -58. Let j be (-2)/(-7) + r/(-14). Let p(q) = 8*q - 9. What is the remainder when 40 is divided by p(j)?
5
Let w be (-6 + (-15)/(-2))/(2/(-204)). Let l = -150 - w. Calculate the remainder when 46 is divided by l.
1
Suppose j = 2*k + 132, -28 - 49 = k + 5*j. Let w = 116 + k. Calculate the remainder when 190 is divided by w.
43
Suppose -v = -0*v - 4*n - 22, -v = 2*n - 16. Suppose -108*k + 1226 = 362. What is the remainder when v is divided by k?
2
Let f = 52 + 39. Suppose -f*g + 94*g = 3. What is the remainder when (4 + 21)/(2*g/2) is divided by 8?
1
What is the remainder when 1857 is divided by ((-66)/(-12) - (-18)/(-3))/((-4)/1856)?
1
Suppose 117 = -4*j + 321. Let s(k) = -k**2 + 25*k + 7. Let d be s(11). Suppose -10*b = j - d. What is the remainder when 107 is divided by b?
8
Calculate the remainder when 48 - -1*0/(-1) is divided by 24 + -6 + (-126)/(-18).
23
Let m = 53 + -37. Suppose -28*u + 407 + 489 = 0. Let k(b) = -b**3 + 34*b**2 - 62*b - 35. Calculate the remainder when k(u) is divided by m.
13
Suppose -54*n + 161*n = 61*n + 690. Suppose 5*f - 68 = -5*o + 232, 2*f + 5*o - 114 = 0. Calculate the remainder when f is divided by n.
2
Let t(x) = -x**2 + 2. Let q be t(-2). Let y be (q/(-4))/((-4)/(-112)*2). Suppose 0*a = -y*a + 637. Calculate the remainder when a is divided by 23.
22
Let v be ((-4*15)/(-2))/(54/72). Suppose -73*z - v = -78*z. Suppose -d - q + 15 = 0, -3*d - 2*q + 51 = z. What is the remainder when 22 is divided by d?
9
Suppose 5*c + 156 = c. Let u = c + 66. Calculate the remainder when 117/((1 + 15/(-12))*-6) is divided by u.
24
Calculate the remainder when 53 is divided by (390/(-546))/(3/(-21)).
3