8312. Calculate the remainder when w is divided by 69.
14
Suppose -4*b + 760 - 252 = -s, -2*b + 5*s + 254 = 0. Calculate the remainder when b is divided by (4 - 39/9)/((-1)/78).
23
What is the remainder when 5637 is divided by (3 - (-24)/((-84)/7)) + -1 + 171?
165
Suppose -4*b = -q - 2*q - 25, b - 3*q = 13. What is the remainder when (-23 - -1)*(-6)/b is divided by (6 - 36) + 20 + 16?
3
Let t be 17/2 - (-4)/8. Suppose t*s + 33 - 123 = 0. Let k = 14 - 10. Calculate the remainder when s is divided by k.
2
Let m = 107 - 220. Let u = m + 118. Suppose -u*k = -k + 3*i - 72, 0 = -5*k - i + 79. What is the remainder when k is divided by 10?
5
Let p = 57314 - 57303. Suppose 3*f - 1 - 5 = 0. What is the remainder when p is divided by 9/f*(-2)/(-3)?
2
Let f(d) = d**3 + 9*d**2 + 9*d - 3. Let i be f(-9). Let p = i - -83. Calculate the remainder when 14 is divided by (21 - 20) + (1 + p - -1).
0
Suppose 2*p = 2*t - 58, t - 3*p = -11 + 40. Let x = 31 + -26. Calculate the remainder when t is divided by x.
4
Let g(z) = -z**3 - 2*z**2 + 2*z + 15. Let u = 186 - 190. What is the remainder when g(u) is divided by 28?
11
Let f = -246218 - -246377. Suppose 0 = 4*o - 2*j - 32, 2*o + 2*j = -o + 24. Calculate the remainder when f is divided by o.
7
Let f(z) = 10*z + 669. Calculate the remainder when f(16) is divided by 269.
22
Let p = 24 - 9. Let i be (p/(-5) - -4)*-1. Calculate the remainder when 70 is divided by (i + 6)*48/200*15.
16
Let r(z) = 2*z**3 - 14*z**2 - 17*z + 142. Calculate the remainder when 403 is divided by r(7).
12
Let z be (1768/(-48))/((-1)/6). Suppose z + 465 = 14*u. What is the remainder when 242 is divided by u?
46
Let x = -5566 + 5673. Calculate the remainder when 115 is divided by x.
8
Suppose -2*c + 33 = 4*h - 17, 5*c + h = 116. Suppose x - 443 = -5*n, 0*n - 103 = -n - 5*x. What is the remainder when n is divided by c?
19
Let v(u) = u + 144. Let z be v(-28). Calculate the remainder when 20 is divided by (-3 - (-152)/56) + z/14.
4
Let w be (110 - (-4 + 1))/1. Suppose -4*s + 119 + w = 0. What is the remainder when s is divided by 28?
2
Let c = 4310 - 3924. Calculate the remainder when 3076 is divided by c.
374
Suppose 467*k = 458*k + 513. Calculate the remainder when 1939 is divided by k.
1
Suppose 0*f + 3*f - 39 = 0. Suppose -12*u - 124*u + 544 = 0. What is the remainder when f is divided by u?
1
What is the remainder when -2*2795/(-117)*9 is divided by 24?
22
Let n(p) = p**2 - 2*p - 31. Let b = 0 + -7. Let k be n(b). Calculate the remainder when 19 is divided by 3/9*k - 1/(-3).
8
Let q = 142 - 242. Let g = q - -212. What is the remainder when g is divided by 31?
19
Let s = -32 - -155. Calculate the remainder when s is divided by 24 - (165/15 + -19).
27
Let t = -122728 + 122747. Suppose -3*b - 2*p - 3*p + 2567 = 0, 4274 = 5*b + 4*p. What is the remainder when b is divided by t?
18
Suppose 9*f + 2370 - 3738 = 0. Calculate the remainder when f is divided by 141.
11
Suppose -3*z = 5*w - 80, 0 = -5*z - 174*w + 179*w + 200. What is the remainder when ((-86)/(-3))/((-2)/(-12)) is divided by z?
32
Let b(g) = -12*g + 1043. Calculate the remainder when b(18) is divided by 406.
15
Suppose -5*n + 10883 = f, 258*f = 255*f - 21. Calculate the remainder when n is divided by 36.
18
Suppose -6 = -2*i + 2*c, -5*c + 4*c + 6 = 2*i. Suppose -190 = -i*h - a, 3*a - 1 - 2 = 0. Calculate the remainder when 174 is divided by h.
48
Suppose 2 = -3*u - 76. Let c = -26 - u. What is the remainder when 41 is divided by 0 - (c/5 + -11)?
8
Suppose p - 6*p - 15522 = -4*t, -2*p - 23316 = -6*t. Calculate the remainder when t is divided by 10.
8
Suppose -6*a + 5*a = -4. Suppose -9*b + a*b = 0. Suppose b = -13*f + 11*f + 298. What is the remainder when f is divided by 38?
35
Let h(i) = -i**2 + 16*i - 12. Let b be h(15). Let g(m) = m**3 + 7*m**2 + 2*m - 5. Calculate the remainder when g(-6) is divided by -18*1/(-9)*b.
1
Let l(q) = -q**3 + 64*q**2 - 124*q + 6. Calculate the remainder when 3279 is divided by l(62).
3
Let g(c) = c**3 - 14*c**2 + 6*c - 16. Calculate the remainder when g(14) is divided by (-16)/(-20)*6*(6 + -1).
20
Let y(p) = -p**3 + 37*p**2 + 4. Let b be y(37). Let i(k) = 2*k**2 + 4*k - 17. What is the remainder when i(b) is divided by 14?
3
Suppose 4*l = 4, -268*y - 4470 = -272*y + 2*l. What is the remainder when y is divided by 102?
98
Let a = -1487 + 1596. Calculate the remainder when a is divided by 16.
13
Suppose 1 + 2 = -3*n. Calculate the remainder when n*728/(-7) + -6 is divided by 23.
6
Let g be -3 - ((-3)/(-3))/1. Suppose 33 = 5*z - 4*o + 13, -o - 5 = 5*z. What is the remainder when (g/(-8))/((-2)/(-196) - z) is divided by 25?
24
Suppose 1160*n - 328 = 1156*n. Let q(j) = -10*j - 9. Calculate the remainder when n is divided by q(-4).
20
Suppose -3*k - 6 = 0, -2*o - 3*k + 306 = 90. Calculate the remainder when 382 is divided by o.
49
Let d(h) = 3313*h + 3877. Calculate the remainder when d(3) is divided by 21.
19
Let n = -14086 + 14344. Calculate the remainder when n is divided by 98.
62
Let p = -35 - 62. Let z = p + 101. What is the remainder when (z/10)/(8/440) is divided by 8?
6
Let c = 100 + -95. Suppose -v + 5 = 0, -14*v + 17*v + 210 = c*w. Calculate the remainder when w is divided by 17.
11
Suppose 121*m = 243*m - 123*m + 143. Calculate the remainder when 441 is divided by m.
12
Suppose 0 = c - 2*s - 104, 5*c + 6*s - 8*s - 528 = 0. What is the remainder when 952 is divided by c?
104
Suppose -199 = -z - p, -546*p + 544*p = -z + 205. What is the remainder when 599 is divided by z?
197
Let g(c) = c**2 - 12*c + 77. What is the remainder when g(6) is divided by (12 + 3)*(-20)/(-12)?
16
Let x(t) = 8*t**2 + 5*t - 24. Let h = 85 - 82. Suppose 0 = 4*b - h*y - 171, -y - 45 = -b + 2*y. What is the remainder when x(-7) is divided by b?
39
Let g = 4708 + -4691. What is the remainder when 43 is divided by g?
9
Suppose -v - i + 27 = 3*i, 0 = -4*i + 16. Suppose v*k = 8*k + 57. Suppose -5*a + 6*a = 74. What is the remainder when a is divided by k?
17
What is the remainder when (-681 - 45)*2/(-2) is divided by 81?
78
Let n = 63 + -13. Let h(k) = -26*k**3 + 2*k + 1. Let r be h(-1). Let z = r + -12. Calculate the remainder when n is divided by z.
11
Let t(k) = -2 + 2*k + 1 + 0*k - 9. Let j be t(6). What is the remainder when 82 is divided by -24 + 21 - (-40)/j?
14
Suppose m + 114 = 3*m. Suppose 770513 - 771474 = -31*k. What is the remainder when m is divided by k?
26
Let g = 840 - 846. Calculate the remainder when 3 + g + 2 - -1368 is divided by 37.
35
Suppose 140 = -3*g + 7*g - 2*i, -g = -4*i - 21. What is the remainder when 775 is divided by g?
35
Let v = 1986 + -1951. What is the remainder when 173 is divided by v?
33
Suppose -31*b - 990 = -46*b. Suppose -52*m + b*m = 406. What is the remainder when 119 is divided by m?
3
Let a(r) = -r - 12. Let g be a(-9). Let n be -54 + (-1 - (4 + -3 + g)). Let d = n - -69. What is the remainder when 25 is divided by d?
9
Suppose 153*o - 4337 = 4384. What is the remainder when 212 is divided by o?
41
Suppose 0*h - 11 = -h. Suppose 329 = 3*o + 5*c + 285, 2*o - 3*c - 4 = 0. Calculate the remainder when h is divided by o.
3
Suppose 3*z - 26 = 238. Suppose -4*n + 796 - z = 0. Calculate the remainder when n is divided by 46.
39
Suppose 5*t = 4*u + 57, -3*t + t = 4*u - 6. Let f(p) = -p**2 - 10*p + 21026. What is the remainder when f(140) is divided by t?
8
Let h(q) = 110*q - 2*q**3 - 73*q - 8 - 53*q + 3*q**3 + 14*q**2. Suppose 2 + 13 = -c. Calculate the remainder when 47 is divided by h(c).
5
Let v(t) = t**3 - 3*t**2 + 39*t + 50. Calculate the remainder when v(7) is divided by 178.
163
Let y(w) = -9*w - 83. Let m = 251 + -270. Calculate the remainder when y(m) is divided by 41.
6
Let f(i) = i**3 + 6*i**2 - 18*i - 11. Let l(p) = 15*p**2 - 12*p + 11. What is the remainder when l(5) is divided by f(-7)?
62
Suppose 86*w + 10034 = -225*w + 25584. Suppose 2*a - 4*a = -92. What is the remainder when w is divided by a?
4
Let x be (-16)/(-6) - (-8)/(-12). Let s(o) = -58*o**2 - 2*o + 110*o**2 - 42*o**2 + 4. Calculate the remainder when s(x) is divided by 6.
4
Let b(i) = 6*i**2 - 153*i - 1004. Calculate the remainder when 1038 is divided by b(-6).
128
Let r = 589 + -395. Suppose -f - 3*q = -32, -5*f + 3*q + r = q. What is the remainder when f is divid