1769. Calculate the remainder when 22 is divided by x.
6
Suppose -2*n + 6*n = -668. Let k = 76 + n. Let w = 103 + k. What is the remainder when 106 is divided by w?
10
Let h be (2/4*9)/(3/8). Suppose -10*v - h + 652 = 0. What is the remainder when 311 is divided by v?
55
Let y(d) be the second derivative of -35*d**3/3 - 18*d**2 - 199*d. What is the remainder when y(-7) is divided by 57?
55
Let q be (-4)/(-3 - -5) + 47. Let c = q + 5. Suppose 6*k - k - 5*u - 40 = 0, -2*u - 42 = -4*k. Calculate the remainder when c is divided by k.
11
What is the remainder when 108 is divided by (-8)/(360/(-165))*3?
9
Suppose 0 = 5*x + 5, -36*y + 32*y + x + 1613 = 0. What is the remainder when y is divided by 14?
11
Let x = -3247 - -3321. Calculate the remainder when 24197 is divided by x.
73
Let p(q) = q**3 - 9*q**2 + 17*q - 206. Let a be p(11). Let n = 232 - a. What is the remainder when 21 is divided by n?
3
Let p = 5810 - 5727. Calculate the remainder when 228 is divided by p.
62
Let b = -75 - -247. Let h = b - 121. Suppose 25 = 56*m - h*m. Calculate the remainder when 18 is divided by m.
3
Suppose 260 + 268 = 48*t. Let w(o) = -o**3 - 4*o**2 + 6. What is the remainder when w(-5) is divided by t?
9
Let i = -9451 - -9475. Let b = 55 - 0. What is the remainder when b is divided by i?
7
Let o = 133 + -281. Let s = -94 - o. Suppose -6*y = -s - 276. Calculate the remainder when y is divided by 28.
27
Suppose -1444*k + 1291*k + 4590 = 0. Suppose 4*w - 4*c - 368 = 0, -4*c - 77 = -w + 27. Calculate the remainder when w is divided by k.
28
Let u(o) = -24*o**3 - 2*o**2 - o + 1. Let w = 1076 + -1053. What is the remainder when u(-1) is divided by w?
1
Suppose 36*x + 1947 = 5007. What is the remainder when 387 is divided by x?
47
Suppose 23*q = 202 + 51. Let s(n) = n**3 + 5*n**2 - 6*n - 6. Calculate the remainder when s(-4) is divided by q.
1
Let w = -4376 + 4666. What is the remainder when w is divided by 87?
29
Suppose -4*w = 5 - 21, 10*a - 1062 = 2*w. What is the remainder when 6526 is divided by a?
106
Let a(n) = 76*n - 128. Let z be a(6). Suppose z = -16*d + 24*d. Calculate the remainder when 78 is divided by d.
37
What is the remainder when 360 is divided by (30 - 20) + (-3)/6*6?
3
Let k = 606 + -279. Let v = k - 274. What is the remainder when v is divided by 21?
11
Let m = -87 + 949. Let y = m + -611. What is the remainder when y is divided by 66?
53
Let c(p) = -p**3 + 12*p**2 - 21*p - 7. Let a be 129/15 - 0 - (-10)/25. Calculate the remainder when 147 is divided by c(a).
6
Let g(s) = -133*s - 238. Let w be g(-7). Let z = -646 + w. Calculate the remainder when 279 - ((2 - 4) + 0) is divided by z.
46
Let d = 612 + -420. Let g = d - 179. Calculate the remainder when 51 is divided by g.
12
Suppose -4*v + 171 = -v. What is the remainder when (-1)/(24 + 54344/(-2264)) is divided by v?
55
Let r be 224/22 + 2 + 12/(-66). Let p(w) = -51 + r + 2*w + 25. What is the remainder when p(10) is divided by 4?
2
Suppose 4*i + 1375 = 983. Let o = 115 + i. Calculate the remainder when ((-42)/1)/(2/(-3)) is divided by o.
12
Let q be (-3)/(9/(-15))*166/5. Let o = q - 123. What is the remainder when 84 is divided by o?
41
Let i(j) = 3*j**2 + 178*j + 2653. Calculate the remainder when 3767 is divided by i(-50).
8
Let k be (-2)/(-5) - 710/25. Let q = 71 + k. Calculate the remainder when q is divided by (6*4)/1 - 1.
20
Let p(q) = -2 - 6*q - 10 + 0 - 9 - 4. What is the remainder when p(-9) is divided by 6?
5
Let l(b) = -b**3 + b**2 - 2*b - 1220. Let i be l(0). Let r be 4/(-5) + i/(-25). Let o = r + -41. What is the remainder when o is divided by 2?
1
Suppose -67*z + 300 = -63*z. Suppose -4*y + 1 = -z. Calculate the remainder when 71 is divided by y.
14
Let s be 3 - 61/(-3)*(-51 + 6). Calculate the remainder when 20/(-15) + s/(-9) is divided by 34.
32
Calculate the remainder when (88/10)/(3/(-100)*(-106)/159) is divided by 38.
22
Let i(x) be the second derivative of -x**4/12 + x**3/3 + 98*x**2 - 4*x. Calculate the remainder when i(0) is divided by 40.
36
Let a(l) = 14*l**2 - 25*l - 26. Let x be a(-1). Suppose -g = -4*y - 123, -y - 391 = -x*g + 10*g. What is the remainder when g is divided by 11?
10
Suppose -213*b = -15916 - 5918 - 27582. Calculate the remainder when 505 is divided by b.
41
Suppose 38 + 257 = 5*w. Suppose -5*t + 10 = 0, r + 4*t + 117 = -4*r. Let q = r + w. Calculate the remainder when 135 is divided by q.
33
Let u(d) = -2 + 136*d**2 + 4*d**3 - 3*d**3 - 141*d**2 - 3 + 2*d. What is the remainder when 42 is divided by u(5)?
2
Let g(h) = -2*h**3 - 5*h + 1. Let a = 79 - -17. What is the remainder when a is divided by g(-2)?
15
What is the remainder when 423 is divided by -22 - (-13 - -1 - 258)?
175
Let l = -100149 + 100170. Suppose -4*u + 76 = -8*u. Let y = 31 + u. What is the remainder when l is divided by y?
9
Let g = 1613 + -1601. What is the remainder when 12659 is divided by g?
11
Suppose -g + 2*y = -95, 345 = -88*g + 92*g - y. What is the remainder when 6627 is divided by g?
82
Let y be 42 + -1*(-5 + 3 - -1). Let o = y + -48. Calculate the remainder when (-147)/(-3) - (o - -5) is divided by 26.
23
Suppose 17*k + 196 = 808. Let y = 77 - -60. What is the remainder when y is divided by k?
29
Let d = 11587 - 11544. Calculate the remainder when 450 is divided by d.
20
Let n = 11709 - 11535. What is the remainder when 655 is divided by n?
133
Suppose -5*k = 3*q - 390, k + 5*q - 3*q = 78. What is the remainder when ((-434)/(-28))/(3/k) is divided by 81?
79
Let w = -54 + 48. What is the remainder when 79 is divided by (w/(-5))/((-9)/(-105))?
9
Let q be (3 + (-1)/1)*(-11523)/(-46). Calculate the remainder when (18/6)/(9/q) is divided by 28.
27
Suppose -69*d - 54*d + 8118 = 0. Suppose 0 = 5*a - 12 + 2. Suppose -r + 51 = a*r. What is the remainder when d is divided by r?
15
Let o(n) = -2*n + 62. Let w be o(30). Suppose w*a = 6*a + 80. Calculate the remainder when 48 is divided by (a - -14)*(1 + 18/(-4)).
6
Suppose 10*r = -6*r + 336. Calculate the remainder when 174 is divided by (r/3)/(4/(-120)*-6).
34
Let w be (16/24)/((-2)/21). Let y be 2 + w/(-4) + 4/16. Suppose -4*t - 156 = -4*o, 116 = y*o + 3*t - 54. Calculate the remainder when o is divided by 11.
8
Suppose 0 = -5*x + 5*r + 1025, r + 177 = 180. Calculate the remainder when x is divided by 206.
2
Suppose -155*b - 13923 = -206*b. Calculate the remainder when 1619 is divided by b.
254
Suppose 120*k + 8*k - 6610 = -1106. What is the remainder when 344 is divided by k?
0
Suppose -u - h = -132, -4*u - 219 = h - 744. Let s = 111193 + -111178. Calculate the remainder when u is divided by s.
11
Let d = 10363 - 7053. Calculate the remainder when d is divided by 24.
22
Suppose 0 = -16*q + 1823 + 3441. Calculate the remainder when q is divided by ((-8)/(-144)*9)/((-4)/(-440)).
54
Suppose -78*w - 27*w + 62784 = -12711. What is the remainder when w is divided by 146?
135
Suppose -36*b + 702 - 162 = 0. Suppose -b*s = 20*s - 735. Let d(c) = c**3 - 3*c**2 + 3*c - 5. Calculate the remainder when d(5) is divided by s.
18
Let a = -13992 + 14532. Calculate the remainder when a is divided by 267.
6
Suppose 0 = 89*y + 591 - 7533. Calculate the remainder when 467 is divided by y.
77
Let j = -408 - -422. What is the remainder when j is divided by 5?
4
Suppose k - c = 24, -k = -3*c + 45 - 61. Suppose w + k - 43 = 0. What is the remainder when w is divided by 10?
5
Suppose -689 - 10079 = -37*i + 21681. What is the remainder when i is divided by 217?
9
Let x(n) = 5*n**3 + n**2 + 7*n - 2. Suppose 2*y + y = -5*b + 16, 0 = -4*y + 4*b. What is the remainder when x(y) is divided by 22?
12
Let w = -245 + 327. Suppose d + 3*d = 0. Suppose -c = 2*g - 40, 0*c - 2*c + 2*g + 86 = d. Calculate the remainder when w is divided by c.
40
Suppose 2*z - 2*v - 590 = 0, 5*z + 2*v = z + 1198. Let w = 1109 - 1096. What is the remainder when z is divided by w?
12
Let f = -3456 + 3489. Calculate the remainder when 511 is divided by f.
16
Suppose 5*t + 152 = -5*p - 93, 2*t = -5*p - 95. Calculate the remainder when (-5)/t + (-398)/(-20) is divided by 6.
2
Let f = 377 - 247. Let v = -371 - -381. Suppose -104 - 6 = -v*h. What is the remainder when f is divided by h?
9
Suppose 27 = -p + 4*p. Suppose 3*i + 20*s = 16*s + 364, 2*i = -s + 246. What is the remainder when i is divided