ose 10*s + 5*j + 50 = 12*s, -10 = -2*s - 5*j. Suppose 362 + 568 = s*t. Calculate the remainder when t is divided by 23.
16
Let d = 17737 - 17485. What is the remainder when 16125 is divided by d?
249
Suppose -52 = q - 51. Suppose 0 = 2*t - 5*l - 3, 4*t - 5*t + 3 = -2*l. What is the remainder when (-22)/3*(-81)/6 + q is divided by t?
8
Let a(y) = -y - 4. Let s = -172 + 145. Calculate the remainder when a(s) is divided by 8.
7
Let p be (-3)/(-4 - -1) + -1. Suppose 13 + 4 = 3*z + 4*x, 3*z + x - 29 = p. Suppose j + 8 = z. What is the remainder when 3 is divided by j?
0
Suppose -5*v = 3*o + o - 106, 4*v = -2*o + 86. Let m be (320/55 - (-4)/v) + -1. Suppose -125 - 290 = -m*q. Calculate the remainder when q is divided by 17.
15
Let j(f) = f**3 - 4*f**2 - 2*f - 3. Let m be j(5). Suppose 116 = -2*d - m. Let s = 107 + d. What is the remainder when s is divided by 11?
10
Suppose 1112 = -4*x - j, 5*x + 1390 = 2*j - 0*j. Let y = x - -396. Calculate the remainder when y is divided by 17.
16
Suppose 0 = 3*t - 6*t + 3*k + 243, -2*t - 3*k = -177. Suppose 0 = 12*w - 10*w + t. Let n = w - -56. Calculate the remainder when 109 is divided by n.
11
Suppose 4*u = 4*v + 481 - 125, -436 = -5*u - 4*v. Suppose 2*z + 307 = 5*c, -3*c + u = -z - 96. What is the remainder when c is divided by 32?
29
Let z = -10799 + 11043. What is the remainder when 476 is divided by z?
232
Suppose 33 = -5*g + 18. Let f = g - 23. Calculate the remainder when 51 is divided by (6/(-12))/(1/f).
12
Let t = -7 - -10. Let i(w) = -6*w**2 + 1 - w**t + 4 - 4*w - 10. Calculate the remainder when 74 is divided by i(-6).
17
Suppose -v + 50 = -2*m, -m - v = v + 25. Let a = m - -118. Let j(c) = c**3 + 8*c**2 + 7*c - 6. What is the remainder when a is divided by j(-6)?
21
Let m be 50/(-250) + (-72)/(-10). Let k(x) = -x**3 + 8*x**2 - 4*x - 15. Calculate the remainder when k(m) is divided by (1 + (-3)/2)*-4.
0
Suppose 3*v = 31 + 59. Suppose -3*s - 31*a + 36*a + 255 = 0, 10*a = 2*s - 190. Calculate the remainder when s is divided by v.
20
Let n be ((-2)/5)/(1/5). Let j be (20/(-16))/((4/n)/16). What is the remainder when j*(7 + -3)/(2/5) is divided by 35?
30
Let q(d) = 3*d**3 + 208*d**2 - 140*d + 12. Suppose -m + 3*j + j + 28 = 0, -2*j - 26 = -2*m. Calculate the remainder when q(-70) is divided by m.
4
Let d = -1814 + 2038. Calculate the remainder when 4475 is divided by d.
219
Suppose -520*f = -413*f - 8239. Calculate the remainder when 309 is divided by f.
1
Suppose 8*v - 54990 = 2*v - 12*v. Calculate the remainder when v is divided by 16.
15
Suppose 3*a - 1 = 29. Let o(m) = -m**2 + 4*m - 12. Let u be o(10). Let b = u + 74. Calculate the remainder when a is divided by b.
0
Let j(p) = 74*p - 89. Let k be j(4). Calculate the remainder when 26 is divided by (-118)/(-649) - k/(-11).
7
Suppose 0 = -21*m - 644 + 2219. Suppose 5*o - 23 = -3*n, -n = -3*o + n + 29. What is the remainder when m is divided by o?
5
Let m be -1 + 4/1 - 0. Suppose 2*t = m*v + v + 102, 0 = 5*t - 5*v - 260. Calculate the remainder when t is divided by 15/9*15 + 2.
26
Suppose 73*l - 81*l + 208 = 0. What is the remainder when (-1444)/(-20) - 1/5 is divided by l?
20
Let t be 421 + (5 - (-6 - -17)). Suppose 0 = 8*u - 97 - t. Suppose 1 = -b + 14. Calculate the remainder when u is divided by b.
12
Suppose q + 20 = v, 4*v + 3*q + 80 = 8*v. Calculate the remainder when 133 is divided by 2 + 1 + v/20.
1
Let o(b) = -1158*b - 1101. Suppose 0 = 2*h - 3*h + 6. Calculate the remainder when o(-1) is divided by h.
3
Suppose 5*m - 9338 = -4*d, 11*d - 8*d + 3*m = 7005. What is the remainder when d is divided by 20?
17
Let j be (-2)/3 + 4/6. Suppose -9*p + 22*p - 3029 = j. Calculate the remainder when p is divided by 26.
25
Let l be 220/18 + 16/(-72). Suppose 0 = 17*b - l*b - 20. Suppose j = -b*n + 17, 0*j + 4*n = -2*j + 50. Calculate the remainder when 163 is divided by j.
31
Suppose 5 = t + 2*d - 59, -5*t = -d - 287. Calculate the remainder when t is divided by 4/((-48)/30) + 315/14.
18
Let s be (-10)/(-2) - (-8 - -10). Suppose s*k - 32 = j, 42 = -5*k - j + 106. What is the remainder when 51 is divided by k?
3
Let g = 50651 - 50630. What is the remainder when 3/3*-2 + 54 is divided by g?
10
What is the remainder when 10108 is divided by (-276)/(-27) + 1 + (-8)/108*3?
10
Suppose 32*f - 87 = 265. Suppose 18*x - f*x - 161 = 0. Calculate the remainder when 157 is divided by x.
19
Calculate the remainder when 125 is divided by ((-98)/308*-11)/(3/18).
20
Let j(p) = -6*p - 17. Suppose -8*c = -6*c + 8. Let v = 15 - c. Calculate the remainder when j(-12) is divided by v.
17
Suppose -646 = -4*j - 5*t, -3*j - 14*t + 473 = -16*t. Let p = -136 + j. Calculate the remainder when p is divided by 13.
10
Let t = -15480 + 18273. What is the remainder when t is divided by 65?
63
Let i(f) = -f**2 + 128. Let b = -76120 + 76185. Calculate the remainder when i(0) is divided by b.
63
Suppose 4*l - 4*d - 580 = 0, 2*l + d - 259 - 19 = 0. Let h = l + -108. What is the remainder when h is divided by 33?
0
Suppose 0 = b + 671 - 670. Let h = b - -369. Calculate the remainder when h is divided by 41.
40
Let n = 727 + -498. Let g = -95 + n. Calculate the remainder when g is divided by 68.
66
Suppose 2*c + 4*n = 164, -c - 2*n + 394 = 4*c. Let s = c - 78. Suppose 2*t - 4 - 8 = s. Calculate the remainder when t is divided by 3.
0
Let k = -2329 + 2689. Calculate the remainder when k is divided by 13.
9
Suppose 5*g = 8 + 72. Suppose 4*f - g = 0, 0*f - 2*f - 8 = -2*w. What is the remainder when 76*((-5)/(-2) - 2) is divided by w?
6
Let t = 183 + -21. Suppose 8*w - 10*w = -t. Calculate the remainder when w is divided by 21.
18
Let a(n) = -30*n - 153. What is the remainder when a(-12) is divided by 52?
51
Suppose -166*g + 3*g + 290273 = 118*g. Calculate the remainder when g is divided by 130.
123
Let k = 27 - -262. Let n = -270 + k. Calculate the remainder when (-6)/15 + (-544)/(-10) is divided by n.
16
Suppose -2*z + 5*r + 332 = 0, -z + 2*z - 168 = 3*r. Suppose -4*f + 6*f = z. Let b = f + -61. What is the remainder when 84 is divided by b?
16
Suppose -5*c - 108 = -118. Suppose -r + c*t - 2 = 0, 0*r = 3*r - 4*t. Calculate the remainder when 13 + 0*1/2 is divided by r.
1
Let q(o) = o**3 - o**2 + o + 5. Let p(d) = 3*d - 15. Let w be p(7). Suppose 5*v = 5*c - 85, -w*c = -c + v - 97. What is the remainder when c is divided by q(0)?
4
Let t be (4/(-5))/((-4)/10). Suppose t*v + 222 = 4*v. What is the remainder when v is divided by -6 - 1500/180*42/(-10)?
24
Suppose -10*z + 92 = -68. Suppose z*c - 23*c = -287. Let b(a) = -3*a - 14. Calculate the remainder when c is divided by b(-7).
6
Let d(o) be the first derivative of -o**2 + 61*o - 151. Calculate the remainder when d(-26) is divided by 30.
23
Let u(z) = 3*z**3 + 34*z**2 - 37*z - 118. What is the remainder when 4939 is divided by u(-12)?
37
Let n(f) = -4*f**3 + 44*f**2 + f + 9. Let j be n(11). Suppose 3*s - j = 124. What is the remainder when 333 is divided by s?
45
What is the remainder when 103 is divided by (7 - 3) + 7/14*-2?
1
Suppose -10*n + 3*p = -11*n + 20, 2*p = -3*n + 32. Calculate the remainder when 151 is divided by n.
7
Suppose 3*y = 2*f - 2449, f + 3331 - 4555 = y. Calculate the remainder when f is divided by 34.
33
Let a(b) = 2*b**2 + 47*b - 17. Let x be a(-24). Suppose x*n = 9 + 19. What is the remainder when 16 is divided by n?
0
Suppose 2*d + 713 + 643 = 2*u, -5*u + 3*d + 3396 = 0. What is the remainder when u is divided by 9?
6
Suppose 195*w - 190*w + 45 = 5*s, -s - 3*w - 3 = 0. What is the remainder when 18705 is divided by s?
3
Suppose 0 = 3*l - 17*f + 14*f + 18, 4*l + f + 4 = 0. What is the remainder when 104 is divided by (l/(20/6))/(7/(-315))?
23
Suppose 95*l = 99*l - 928. Suppose -2*y = n + l, -5*n - 12 - 8 = 0. Let b = -69 - y. Calculate the remainder when b is divided by 23.
22
Suppose 3814 = 4*z - v - 866, -5*z = 2*v - 5850. What is the remainder when z is divided by 84?
78
Let d be 11/((-44)/(-8)) + 0. Suppose -x = -3*b - 44, -3*x = -d*x + b - 24. Calculate the remainder when x is divided by 9.
2
Let j = -71 + 52. Let b = 17 + j. Let t = 35 - b. Calculate the remainder when t is divided by 21.
16
Let x(t) be the third derivative of -t**5/10 - 17*t**4/8 - t**3/3 + t**2 - 18*t. What is the remainder when 114 is divided 