4
Suppose -1715 = 96*b - 6*b - 3980 - 2325. Let a = -10 + 17. Calculate the remainder when b is divided by a.
2
Suppose -5*o = -b + 12, -4 + 7 = 2*o - 3*b. Suppose 2*w - 7*w = -10. Calculate the remainder when w/3 + (-313)/o is divided by 37.
31
Let v(j) = 18*j - 15. Let c be v(1). Suppose -205 = -c*z + 920. What is the remainder when z is divided by 7?
4
Suppose -27*o = -2676 - 46059. Suppose 104*q - 99*q = o. What is the remainder when q is divided by 73?
69
Suppose -p = -508*w + 513*w - 17, 6 = 2*p - 4*w. Calculate the remainder when 842 is divided by p.
2
Suppose 3*y = -2*i + 1534, -4*y + 4*i = -1541 - 491. Suppose 29 = 11*g - y. Calculate the remainder when g is divided by 10.
9
Let c(o) = -20*o - 137. Let i be c(-7). Suppose 3*g = i*n - 225, 340 = 2*n + 3*n + 2*g. What is the remainder when n is divided by 35/3 + (-2)/(-6)?
10
Suppose -22 + 33 = a - 114. Calculate the remainder when 271 is divided by a.
21
Suppose 115*p - 116*p = -166. Suppose 40*f - 39*f - p = 0. Calculate the remainder when f is divided by 8.
6
Let v = -6 + 16. Let u = -45234 - -45258. What is the remainder when u is divided by v?
4
Let r(i) = -18*i**3 + 3*i**2 + 3*i + 3. Calculate the remainder when r(-2) is divided by 3/(-9) - (-1224)/108.
10
Suppose -71 - 29 = -4*y. Let c = 1019 - 1006. Suppose -c*o + 443 = 274. Calculate the remainder when y is divided by o.
12
Let q = 18985 + -18703. Calculate the remainder when q is divided by 105.
72
Let n(r) = -1124*r**3 + 14*r**2 - r - 3. What is the remainder when n(-2) is divided by 58?
57
Suppose 5*k = 810 - 840, 2*t + 4 = -5*k. Let a(h) = -h**3 + 4*h**2 - h + 3. Let x be a(4). What is the remainder when t is divided by (1 + -2)/x*9?
4
Let z = -1 - -3. Suppose 4*l = j + 149, -242 + 72 = -5*l - z*j. Suppose 680*n = 698*n - 1260. What is the remainder when n is divided by l?
34
Let c(r) = r**3 + 9*r**2 + 7*r - 9. Let q be c(-8). Let w(h) = 2*h**2 + 60*h + 61. What is the remainder when w(-30) is divided by -1*(q + 0)*3*3?
7
Let t = -10612 + 10746. What is the remainder when 1859 is divided by t?
117
Let k = -2485 - -2500. What is the remainder when (-1462)/(-10) + 40/50 is divided by k?
12
Let g be 4 - ((-9)/6)/(12/(-16)). Suppose -g*z - 3*z = 180. Let w = -24 - z. What is the remainder when 35 is divided by w?
11
Suppose -3*v = -381 - 15. Suppose 0 = -30*u + 34*u + v. What is the remainder when 66 is divided by 0 - (0 + -2) - u?
31
Let l(w) = 16*w**3 + w**2 - 2*w. Let y = 115 + -115. Suppose y = -35*a + 40*a - 210. What is the remainder when a is divided by l(1)?
12
Suppose -17*t - 5488 = -28*t + 50304. What is the remainder when t is divided by 18?
14
Suppose -59*f - 147*f - 113*f = -7337. Let k be 2*21 - 4/(-2). What is the remainder when 0 - k*(-2)/2 is divided by f?
21
Let u be 1/2*0 + -840. What is the remainder when u/(-9) - 4/12 is divided by 33?
27
Suppose -40*j + 4*l + 15 = -39*j, 0 = -3*j - 2*l + 17. Calculate the remainder when 970 is divided by j.
4
Let r(h) = -4*h + 31*h - 25 - 7*h. Let i be r(4). Suppose 51*p + 24 = i*p. Calculate the remainder when 34 is divided by p.
4
Let s(g) = -30*g - 360. Calculate the remainder when s(-13) is divided by (0 + (31 - 1))/(31 - 30).
0
Suppose 3*w = -9, -2*l + 15 = 29*w - 28*w. What is the remainder when 198 is divided by l?
0
What is the remainder when (28*1351/56)/((-21)/(-12)) is divided by 81?
62
Suppose -9*i = 29*i + 93*i - 1441. Calculate the remainder when 7553 is divided by i.
7
Suppose 0 = -3*w - 0*w + 9. Suppose w*g - g - 5*b = 17, -3*g + 36 = 3*b. Let f = 1887 - 1825. What is the remainder when f is divided by g?
7
Suppose -5*m + 1071 = 10*m + 6*m. What is the remainder when 85 is divided by m?
34
Suppose 0 = -3*h + 13*i - 18*i + 760, h = 3*i + 258. Suppose h = -84*d + 89*d. What is the remainder when 203 is divided by d?
50
Let d(a) = 198*a**3 + 4*a**2 - 3*a - 1. Suppose 0 = 3*z + 4*f + 9, -f - 18 = -4*z - 11. What is the remainder when d(z) is divided by 37?
13
Let c(l) = l**3 + 2*l**2 - 2*l - 4. Let a be c(3). Let b(w) = 5*w**2 - 174*w + 29. Calculate the remainder when b(a) is divided by 17.
13
Suppose 3*h - v + 0*v - 20 = 0, 3*h + 3*v = 12. Suppose -180 = -h*n - 18. What is the remainder when n is divided by 3?
0
Suppose -6*z + 11*z = -2*t + 34434, t + 13779 = 2*z. What is the remainder when z is divided by 26?
24
Let b = 8 - 37. Let h(i) = i + 123. Calculate the remainder when h(b) is divided by 6.
4
Calculate the remainder when 17760/56 + (9/(-21))/3 is divided by 23.
18
Let t(d) = 8*d + 24. Let h(r) = -r**2 + 4*r + 104. Let u be h(12). What is the remainder when 527 is divided by t(u)?
87
Suppose 109 = u - i + 58 - 58, 2*i = 0. Calculate the remainder when u is divided by 73.
36
Let s = 127 + -167. Let g = -20 - s. Calculate the remainder when (1520/(-12))/5*-3 is divided by g.
16
Suppose -5 = -5*m + 25. Suppose 43 + 35 = m*f. What is the remainder when 72 is divided by f?
7
Let g(a) = 2*a**2 + 71*a + 24. Let y be g(-35). Calculate the remainder when 147 is divided by 4 - (22 - y)/(1 - 2).
36
Let z be 3 - (0 - (-2)/8*-4). Let y be (11/z)/(10/160). Suppose -5*u - i + 34 + 51 = 0, -4*u + 4*i + y = 0. Calculate the remainder when 127 is divided by u.
15
Suppose -30*p + 172 + 102 = -176. Calculate the remainder when 80 is divided by p.
5
Let o(u) = -10*u + 80. Let i be o(8). Suppose i = -a + 2*a + 4*t - 33, a = -t + 42. What is the remainder when a is divided by 23?
22
Suppose 16*k = 9*k - 231. Calculate the remainder when 51 is divided by (-1095)/(-55) + (-3)/k.
11
Suppose x + 325 = 3*r, 3*r - 129 = -5*x + 190. Calculate the remainder when 2159 is divided by r.
107
Suppose 13*c - 11*c - 3*w = 27, -2*c + 12 = 2*w. What is the remainder when ((-1)/4 - c/12) + 61 is divided by 13?
8
Let x be (1 - 3/(-3))*(-4 + 298). Calculate the remainder when 37 is divided by ((-6)/7)/((-14)/x).
1
Let m(l) = 4*l**3 - l**2 - 3*l + 13. What is the remainder when 288 is divided by m(3)?
82
Let f = -35 - 198. Let l = 301 + f. Calculate the remainder when 253 is divided by l.
49
Suppose -13 - 131 = -2*a. Let m = -64 + a. Let p = -9 - -64. Calculate the remainder when p is divided by m.
7
Let a(z) = -2*z**2 + 8*z + 211. What is the remainder when 280 is divided by a(-8)?
14
Suppose 0 = l - 3*p + 1147, 3*l + 33*p - 38*p = -3461. Let k = l + 1193. Calculate the remainder when k is divided by (8/(-5))/(1/(-5)).
7
Let s(c) be the third derivative of c**3 + 25*c**2 + 0*c + 0 + 1/24*c**4. Calculate the remainder when 37 is divided by s(10).
5
Let h = -324 + 339. Suppose 7 = -h*i + 97. Let z = 3 - 1. What is the remainder when i is divided by z?
0
Suppose 2089*s - 1022*s - 36 = 1031*s. What is the remainder when 1285 is divided by s?
0
Suppose 76 - 84 = -4*m. Suppose 0 = -m*q + q + 5. Suppose -y = r - 9 - 1, -3*r = -q*y - 30. What is the remainder when 29 is divided by r?
9
Suppose -102 = -4*m - 3*a, 3*a = a + 4. Suppose 3*q + n - 54 = 0, 111*q - 4*n = 115*q - 64. What is the remainder when m is divided by q?
5
Suppose -43 = -64*z + 504 + 285. Calculate the remainder when (29 - -1)/((-6)/(-4)) is divided by z.
7
Let r = -29 + -10. Let j be 74 + (-3)/((-4 - -10)/18). Let k = r + j. Calculate the remainder when 206 is divided by k.
24
Suppose 19*x - 5238 = -3*k, 2*x = 6*x + 4*k - 1096. What is the remainder when x is divided by 154?
122
Calculate the remainder when 2218 is divided by 5/(-2) - (19 + (-5357)/22).
220
Let y(f) = 88*f**3 + 84*f**3 - 255*f**3 + 31 - 26*f**2 + 82*f**3 + 27*f. Calculate the remainder when 41*12/20*5 is divided by y(-27).
30
Let r = 58 + -26. Suppose -f + 3*f - 6 = 0, 4*q - 4*f = -r. Let v(n) = -5*n - 20. What is the remainder when v(q) is divided by 5?
0
Let r be 0*9/(18 + 9). Suppose 39*o - 32*o - 70 = r. Calculate the remainder when 35 is divided by o.
5
What is the remainder when 609 is divided by (-3 - 11 - -18)*(-639)/(-12)?
183
Let g = -4829 - -5234. Calculate the remainder when g is divided by 85.
65
Let a = 14002 - 12875. What is the remainder when a is divided by 10?
7
Let y be (-3)/(-2)*(25 - -137). Let w = y + -175. Calculate the remainder when w is divided by 23.
22
Suppose k + 256*h = 252*h + 1368, 5*k - 6930 = -2*h. What is the remainder when k is divided by 56?
44
Let f(a) = -74*a - 431. What is the remainder when 57 is divided by f(-6)?
5
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