ppose -74 - 106 = 6*n. What is the remainder when 100 is divided by n/(-10)*265/15?
47
Suppose z - 3*t = 100, -3*z - 85*t + 320 = -84*t. Calculate the remainder when z is divided by 22.
18
Let v = 220 + 32. Suppose 2*d = -92 + v. Let n = -68 + d. Calculate the remainder when 53 is divided by n.
5
Let d = -7919 - -7950. Suppose 5*s - 290 = -0*s. Calculate the remainder when s is divided by d.
27
Suppose -3*l - 4*p - 112 = 0, 1 = 3*p + 4. Let d = l - -98. Suppose -5*o - 4*r = -d, 0 = -2*o - 2*o + 3*r + 62. What is the remainder when o is divided by 4?
2
Suppose -367 - 33 = -4*u. Suppose 4*d + 4*f - 108 = 0, 1478*d + 2*f + 66 = 1482*d. What is the remainder when u is divided by d?
0
Suppose 5*v + p = 1089 + 3240, 4*p = 16. Calculate the remainder when v is divided by 285.
10
Let w(r) = r**2 - 12*r + 9. Let a be w(13). Suppose -h + 8*q = 3*q - a, 0 = -4*h - 3*q + 65. Calculate the remainder when 29 is divided by h.
12
Suppose -4*b = -2*f - 22, 4*b - 2*f + f - 19 = 0. What is the remainder when -2*((0 - 39) + b) is divided by 18?
16
Let v = 7 - 13. Let s(t) = 923*t + 1 + 930*t - 1854*t. Calculate the remainder when 25 is divided by s(v).
4
Let w(k) = -k - 6. Let m(y) = -21*y + 117. Let c(q) = m(q) - 4*w(q). What is the remainder when c(6) is divided by 10?
9
Suppose -39*g - 4939 = -6459 - 20671. What is the remainder when g is divided by 65?
49
Let u = -17125 + 17303. Calculate the remainder when 714 is divided by u.
2
Let d be 1/((-4)/8*4/(-3362)). Suppose -4*m - 197 = a - d, 0 = m - 5*a - 350. What is the remainder when m is divided by 6?
4
Let b(m) = -m**2 - 146*m - 2702. Calculate the remainder when 146*-1*2/(-4) is divided by b(-124).
21
Let o be ((-1)/5 - -1)/(2/(-735)). Let k = 322 + o. Suppose -2*n - 44 = -6*n. What is the remainder when k is divided by n?
6
Let v = -369 + 404. What is the remainder when 209 is divided by v?
34
Let w = -531 + 586. Suppose -j - 3*n = -3*j + w, -n = -3*j + 79. What is the remainder when 120 is divided by j?
16
Let s be 2/11 - ((-378)/99 + 2). Suppose -m + s = 0, -3*m = i - 6*m - 12. What is the remainder when 160 is divided by i?
16
Let g = -1195 - -1335. Suppose 4*i + y - 65 = 0, -11 = -i - 2*y + 7. What is the remainder when g is divided by i?
12
Let j = 555 + -554. Let u(s) = 292*s - 18. What is the remainder when u(j) is divided by 25?
24
Suppose -2*u + 54 - 8 = -4*v, 0 = u - 3*v - 26. What is the remainder when 263 is divided by u?
8
Suppose -4*j + 15 + 157 = 0. Let f = j + -71. Let h = 14 - f. Calculate the remainder when h is divided by 15.
12
Suppose 4*k - 47 - 425 = 0. Let a = -97 + k. Calculate the remainder when 143 is divided by a.
17
Let k be 42427/(-99) - (-4)/(-9). Suppose 4*a - 28 = 24. Calculate the remainder when 1*k/(-9) + (-4)/(-3) is divided by a.
10
Let d = 5700 - 5129. What is the remainder when d is divided by 190?
1
Let g = 545 + -558. Let i = -12 - -8. Let s = i - g. Calculate the remainder when s is divided by 7.
2
Let l(c) = c**2 - 4*c - 70. What is the remainder when 592 is divided by l(12)?
20
Suppose u = 7*a - 3*a - 15, -5*u = 3*a - 40. Suppose 0 = -2*y + 3*r + 43, r + 127 = a*y + 13. What is the remainder when 156 is divided by y?
18
Let r = 554 - 398. Suppose -4*v - 2*z = -8*v + 154, -191 = -5*v + 3*z. What is the remainder when r is divided by v?
36
Let b = -3693 - -3801. Calculate the remainder when 368 is divided by b.
44
Let a(w) = -17*w + 799. Calculate the remainder when 607 is divided by a(46).
12
Suppose -78*o + 35*o = -9116. Calculate the remainder when o is divided by 34.
8
Let i(f) = -2*f**2 - 52*f - 30. Let g(k) = -k**2 + 12*k - 3. What is the remainder when i(-24) is divided by g(10)?
15
Suppose -n + d + 184 = -44, -2 = -2*d. Let k = n + 20. Calculate the remainder when k is divided by 18.
15
Let g = -1054 - -1061. Let v = 248 - 245. Calculate the remainder when g is divided by v.
1
Suppose -f + 117 = 118. Let i be f/(1 - (-15)/(-10)). Suppose 45 = i*z - 5*t, -81 = -4*z - t + 2*t. Calculate the remainder when z is divided by 3.
2
Let u(j) = 5*j**2 + 16*j + 54. Let k be u(-8). Let l = -208 + k. What is the remainder when 64 is divided by l?
26
Suppose -3*h - h = -3*t, h = -t. Suppose 0*d - 4*d + 12 = t, 4*d + 188 = o. Calculate the remainder when o is divided by 17.
13
Suppose 0 = -q - 4*q + 5*w, 4*w = -3*q + 21. Suppose 4*c - 68 = a - 2*a, -c = -q*a - 17. What is the remainder when 116 is divided by c?
14
Let j(p) = -p**3 - 23*p**2 + 120*p + 234. What is the remainder when j(-28) is divided by 161?
150
Suppose 55 = 8*k + 15. Suppose 0*u + 348 = u - 5*q, k*u + 2*q = 1632. What is the remainder when u is divided by 66?
64
Let u(y) be the first derivative of y**2/2 + 57*y - 19. What is the remainder when 398 is divided by u(-44)?
8
Suppose 0 = 9*d - 281 - 1339. Suppose 174*o = d*o - 1134. Calculate the remainder when o is divided by 19.
18
Let p(g) = 2*g**3 - 5*g**2 - 11*g + 52. What is the remainder when p(6) is divided by 204?
34
Let y = -38 - -42. Let a = 118 - 116. Suppose a*h - 7*w = -3*w + 46, -2*h - 5*w + 28 = 0. Calculate the remainder when h is divided by y.
3
Let t = 334 - 193. Suppose 0 = 106*r - 109*r + t. What is the remainder when r is divided by 4?
3
Let c be (0 + 2)/((-1)/(-224)). Let x = c - 434. What is the remainder when 52 is divided by x?
10
Suppose 0 = -5*m - 2*b + 8686, 3*b - 3342 = -4*m + 3604. Calculate the remainder when (-12)/(-72) + m/12 is divided by 15.
10
Let o(i) = i**2 - 33*i + 243. What is the remainder when 1475 is divided by o(9)?
17
Let r = 4790 + -4722. What is the remainder when r is divided by 61?
7
Let y be (26 - 0) + 0 + 38/19. What is the remainder when 2*3/(-42) - (-1320)/y is divided by 24?
23
Suppose 0 = -4*h + 2*p + 486, -12*h + 116 = -11*h + 5*p. Calculate the remainder when 185 is divided by h.
64
Let a = -175 - -419. Suppose -80 = 234*p - a*p. What is the remainder when 37 is divided by p?
5
Let n(b) = -b**3 - 11*b**2 - 9*b + 7. Let q = -2266 + 2300. Calculate the remainder when n(-11) is divided by q.
4
Suppose -27*x - 41*x - 1042 = -3694. Suppose 3 + 15 = u. Let n = -4 + u. Calculate the remainder when x is divided by n.
11
Let n = 235 - 229. Calculate the remainder when 142 is divided by n + 12 + 5 + 1.
22
Let g(u) = 3285*u - 6404. Calculate the remainder when 693 is divided by g(2).
29
Suppose 3*f = 4*t + 76 + 160, 378 = 5*f + t. Suppose 42 - 26 = 3*m - 5*l, -m = -2*l - 5. Calculate the remainder when f is divided by m.
6
Let m(t) = -t**2 + 16*t - 47. Let n be m(11). Suppose n*b - 40*b + 1248 = 0. What is the remainder when 233 is divided by b?
38
Let z(d) = 4*d**2 + 118*d - 41. What is the remainder when 778 is divided by z(-30)?
18
Let x = -746 - -433. Let l = x - -365. What is the remainder when l is divided by 6?
4
Let r = -126 + 151. Let y(z) = 10*z**2 + 2. Let v be y(2). Let a = v - r. Calculate the remainder when 101 is divided by a.
16
What is the remainder when (-540)/288 - -2 - 2263/(-8) is divided by 58?
51
What is the remainder when (0 - (-152274)/(-4))*(-166)/249 is divided by 135?
134
Let j be 8100/72*24/10. Suppose 9*w + 3*s = 6*w + j, 5*s + 262 = 3*w. What is the remainder when w is divided by 9 + (-1 - -2) - 0?
9
Let g = 154 + -154. Suppose 0 = 5*f + 5, 3*c - 4*f - 256 = g. What is the remainder when c is divided by 17?
16
Suppose 1 + 2 = 3*d, 4*f = -5*d - 271. Calculate the remainder when 1/(-2)*2 - f is divided by (-64)/8 + -1 + 34.
18
Calculate the remainder when 482 is divided by ((-52)/(-10))/((-21)/(-4410)*14).
14
What is the remainder when 1090 is divided by (8 - (-477)/(-27))/((-5)/(-315)*-3)?
75
Let l be 1 + -2 + 35/7 + 156. Let s = 213 - l. Suppose 5*q - 94 = 1. What is the remainder when s is divided by q?
15
Suppose 100*w = 30942 - 6942. Calculate the remainder when 540 is divided by w.
60
Suppose -38 = -g - 4*b - 0, 5*g + 5*b = 220. Let y(t) = t**3 - 63*t**2 + 66*t + 24. What is the remainder when y(62) is divided by g?
42
Let m be ((-2268)/441)/(2/7). Calculate the remainder when 8/6 - (2 + 804/m) is divided by 24.
20
Let r be -82 - 1/(1 + 0). Let w = -492 + 439. Let u = w - r. What is the remainder when 59 is divided by u?
29
Let h = 445 + -20. Suppose -h = -18*p - 65. Calculate the remainder when 276 is divided by p.
16
Let f = -2307 + 2436. Calculate the remainder when f is d