= -4*v + 572. Let y = -2157 - -2221. Calculate the remainder when v is divided by y.
28
What is the remainder when (2170/310)/(1/141) is divided by 49?
7
Let f be (-4 - -3)/(-4 + (-7)/(-2)). What is the remainder when (-2)/f - (-197 + -1) is divided by 40?
37
Suppose -305 = -19*k - 1. Suppose 0 = -5*a + 60 + 100. Calculate the remainder when ((-126)/(-5))/(k/40) is divided by a.
31
Let g be 44/55*15/3. Suppose 7*z - g*z = 252. Calculate the remainder when z is divided by 13.
6
Let w(u) = u**3 + 6*u**2 + u - 2. Let a(s) = s + 5. Let y be a(-10). Calculate the remainder when 124 is divided by w(y).
16
Suppose -6*c = -7492 + 7258. Suppose -5*v + 2*g - 19 = 0, -2*v - 4*g + 0*g + 2 = 0. What is the remainder when c is divided by v/(-4) - (-308)/16?
19
Suppose -189*s + 1089 = -90*s. What is the remainder when 766 is divided by s?
7
Suppose -4*s - 4*h = -7*s + 22, 0 = -4*s + h + 12. Suppose 3*p - 2 - 214 = -s*c, 4*p = -c + 288. Calculate the remainder when p is divided by 7.
2
Suppose 3*f = -46 + 37, -4*l + 570 = -2*f. Calculate the remainder when 845 is divided by l.
140
Suppose 747 + 371 = 13*q. Let g(t) = 3*t**3 - t**2 + 2*t. Calculate the remainder when (q/(-5))/((-130)/325) is divided by g(2).
19
Let m(k) = -88*k + 1236. What is the remainder when m(-12) is divided by 164?
160
Let b = 15123 + -12668. What is the remainder when b is divided by 60?
55
Let x = 207 - 5. Suppose -5*t = a - 81, 0 = 99*a - 104*a + 5*t + 225. Calculate the remainder when x is divided by a.
49
Suppose 40 + 16 = 4*z. Let u(h) = h**3 + 24*h**2 + 23*h + 24. Let j be (-23)/2*(-30 - -32). What is the remainder when u(j) is divided by z?
10
Let o(f) = 3*f - 6*f - 7 - 10*f. Let k(z) = z + 1. Let j(s) = -4*k(s) - o(s). What is the remainder when j(4) is divided by 14?
11
Let t = 4539 + -4425. Suppose 28 - 188 = -4*v. Calculate the remainder when t is divided by v.
34
Suppose -3*u = -3*g + 165, -3*u = 1432*g - 1430*g - 130. What is the remainder when 2300 is divided by g?
58
Suppose -553 = -4*r + 5*f + 142, -5*r + 790 = 5*f. Calculate the remainder when 636 is divided by r.
141
Let t(a) = 21*a + 388. Calculate the remainder when 104 is divided by t(-16).
0
Suppose 0*c + 1233 = 2*c + 141. Calculate the remainder when c is divided by 383.
163
Suppose 3 = -5*u + 2*u, 0 = -j + 5*u + 8. Let y be (-627)/(-18) - j/(-18). What is the remainder when 16 is divided by (-159)/(-21) + (-20)/y?
2
Suppose 5*k = 2*o + 120, -205 = -4*k + 5*o - 109. What is the remainder when 598 is divided by k?
22
Let w(n) = -n**3 - 56*n**2 - 57*n - 96. Calculate the remainder when 34 is divided by w(-55).
6
Let u(b) = b**3 - 40*b**2 + 95*b - 175. Calculate the remainder when u(38) is divided by 136.
3
Suppose 25609 = 19*h + 4*h + 1344. Calculate the remainder when h is divided by 22.
21
Suppose -128 = -2*j + j. Let l = -85 + j. Let o = -198 - -203. Calculate the remainder when l is divided by o.
3
What is the remainder when 30 is divided by 7685/106*2/5?
1
Let q be -1 - (-175 + 3 + 1). Let p = 210 - q. Calculate the remainder when 116 is divided by p.
36
Let v = 1127 + -989. Calculate the remainder when -1*1*(-4 - 211) is divided by 4980/v - 5*(-10)/(-575).
35
Suppose -8*g = -4*g - 5*n - 85, 0 = -2*g - 4*n + 62. Suppose -t = g - 127. What is the remainder when t is divided by 53?
49
Let u(x) = -2270*x - 6784. Let o(n) = n**3 - n**2 + 10. Let q = 1 - 1. What is the remainder when u(-3) is divided by o(q)?
6
Suppose 3*p - 2*q - 17 = -0*q, -9 = -2*p - q. Suppose p*v = 8*v - 246. Let c = 7 - -10. What is the remainder when v is divided by c?
14
Let a = 294 - 289. Suppose -4*m - 25 + 5 = -2*b, 0 = -2*b - m. Suppose 3*k + 5*v = 4*k - 12, -v + 35 = b*k. Calculate the remainder when k is divided by a.
2
Suppose -74*m - 5824 = -178*m. What is the remainder when 1170 is divided by m?
50
Let f = -2452 - -2477. Calculate the remainder when 2274 is divided by f.
24
Let b be (-33)/(-11) + (-6)/9*-66. Suppose 4*m + 262 = -w, -w + 2*m - b = 221. Calculate the remainder when w/(-6) - (-2)/(-6) is divided by 18.
8
Let c = -26 + 71. Suppose 0 = -62*b + 11 + 237. What is the remainder when (1206/21 + 6)*14/b is divided by c?
42
Let c be 2/6*45/(-10)*-2. Let a(m) = -9*m**2 + 5*m + 6. Let u be a(7). What is the remainder when (c/(-2))/(30/u) is divided by 8?
4
Suppose -164 + 1021 = 34*d - 333. Suppose -6*i + 2*i + 20 = 0. Calculate the remainder when d is divided by i.
0
Let o = 7 + 13. Let q = 20 - 20. Suppose z + q*z = o. What is the remainder when z is divided by 8?
4
Let y(a) = -2*a**2 - 115*a + 81. What is the remainder when y(-30) is divided by 217?
212
Suppose 18*r + 78 = 24*r. What is the remainder when 11378/42 - r/(546/(-4)) is divided by 7?
5
Calculate the remainder when 2253 is divided by (-2 + 1 + -30)/((-124)/124).
21
Calculate the remainder when (7 + 12/6)*(-140)/(-12) is divided by 55.
50
Let i be (-3)/(3*(-4)/12). Suppose 2*c = i*x + 47, -5*c - 5*x + 4 = -4*c. Suppose a = -2*a + 15. What is the remainder when c is divided by a?
4
Suppose 0 = 22*n + 762 - 1070. What is the remainder when 25 is divided by n?
11
What is the remainder when (-2)/(-7) - (-190560)/3360 is divided by 53?
4
Suppose 0 = 2*p - 4*x + 7 - 57, -5*p - 3*x + 164 = 0. Let k = -62 + 88. Let d = p - k. Calculate the remainder when d is divided by 2.
1
Let g = -53099 + 53260. Calculate the remainder when g is divided by 106/4 - (-1)/2.
26
Let n be ((-4)/6)/((14/(-21))/(-1)). Calculate the remainder when 356 is divided by (16/48)/(n/(-54)).
14
What is the remainder when 6693 is divided by 22*16/(-264)*456/(-2)?
5
Suppose 14*w + 143 = 2*s + 19*w, 20 = -4*w. Calculate the remainder when 415 is divided by s.
79
Let x be (100/(-8))/((-1)/(-10)). Let b be (-25)/x - 1782/10. What is the remainder when (-33)/(-44) - b/8 is divided by 12?
11
Let y(n) = -3*n**2 + 43*n + 37. Let b = -149 - -164. What is the remainder when y(b) is divided by 6?
1
Suppose 24*k + 17*k + 2*k = 2279. Calculate the remainder when 7101 is divided by k.
52
Let t(n) = -n**3 + 18*n**2 - 22*n + 15. Calculate the remainder when t(9) is divided by 138.
132
Let v = -15632 + 15699. What is the remainder when 5683 is divided by v?
55
Suppose -28*i - 58 + 1247 - 41 = 0. Calculate the remainder when 307 is divided by i.
20
Let i = -467 + 470. Calculate the remainder when i*((-4)/6)/(4/(-40)) is divided by 19.
1
Suppose 138*l + 88*l + 325 - 34677 = 0. Calculate the remainder when 200 is divided by l.
48
Let p(k) = -1 - 3*k + 19*k**2 - 41*k + 17 - k**3 - 16*k. Calculate the remainder when p(15) is divided by (-6)/(-4)*20/6.
1
Let b be ((-1)/4)/(34/(-3128)). Let u(v) = 4*v + 2. Let j be u(6). Suppose 0 = -j*y + b*y + 9. What is the remainder when 14 is divided by y?
2
Let j = 66027 + -12404. Calculate the remainder when j is divided by 33.
31
Let t = -52 + 69. Calculate the remainder when (3 - (-132)/2) + 3/(6/4) is divided by t.
3
Let t be (-180)/(-21) - 18/(-42). Suppose w = 5, q - 4*q = -3*w + t. Suppose q*h + 25 = 7*h. Calculate the remainder when 24 is divided by h.
4
Suppose -2*a + 5*x = 25, 11*a - 9*a = 4*x - 20. What is the remainder when 19 is divided by (1 - (-5 - -4)) + a?
1
What is the remainder when (2301 - 2) + -1 - (154/22 + -4) is divided by 42?
27
Let z(c) be the first derivative of 2*c**3 - 3*c**2 - 7*c - 49. Calculate the remainder when z(4) is divided by 17.
14
Let p(z) = z**2 + 6*z + 12. Suppose -10*h = -5*h - 75. Suppose -s - 5*g = -g - h, 3 = g. Calculate the remainder when p(-5) is divided by s.
1
Suppose q - s - 22 = 0, -5*q + 2*q + s = -68. Calculate the remainder when 49 is divided by q.
3
Let b = 469 + -310. Suppose b*i = 158*i + 181. What is the remainder when i is divided by 26?
25
Suppose 2*x - 2 = 0, 187*p - 189*p = -3*x - 2229. Suppose 3*l + 733 = 2*k - 0*k, 3*k - p = -l. What is the remainder when k is divided by 27?
20
Calculate the remainder when 1176 is divided by (1554/28)/((26/65)/(32/15)).
288
Let w be ((-8)/10)/(28/(-2310)). Suppose 4*i + w = c, -3*i - 126 + 428 = 4*c. Calculate the remainder when c is divided by 22.
8
Let t = 4080 + -3718. What is the remainder when t is divided by 52?
50
Let n = -311 - -366. Let h = -36 + n. What is the remainder when h is divided by 10?
9
Suppose 67*v - 15432 = -13412 + 36438. What is the remainder when v is divided by