m - 17 = g*y + 2*y, 3*m - 21 = 3*y. Calculate the remainder when 651*(-1)/(-36) - 5/60 is divided by m.
0
Suppose 0*f + 2640 = 2*f. Suppose -11*y - 209 + f = 0. Calculate the remainder when y is divided by 36.
29
Suppose 0 = -16*n + 18*n - 128. Suppose 0 = -3*w + 5*z + 448, -z + 5*z - 484 = -3*w. Let t = 178 - w. What is the remainder when n is divided by t?
20
Suppose -f + 23 = 8. Let l(y) = 2*y**3 - 5*y**2 - 12*y + 10. Let k be l(5). Suppose k*u - 68*u - 609 = 0. What is the remainder when u is divided by f?
12
Let q = 28522 - 28461. Let b = -21 + 42. Calculate the remainder when q is divided by b.
19
Let q = -144 + 149. Suppose -b - 16 = -q*b. What is the remainder when 18 is divided by b?
2
Let u = -605 - -575. Let s(x) = x**3 + 31*x**2 + 26*x - 115. Let b(t) = 19*t. What is the remainder when b(1) is divided by s(u)?
4
Let q be ((-460)/(-6))/((-21)/(-189)). Let c = q + -260. Calculate the remainder when c is divided by 6.
4
Suppose 535*g = 534*g + 52. Calculate the remainder when 170 is divided by g.
14
Let j = 5 + 10. Suppose 3*k - 7*n + 3*n = 65, k - 3*n = j. What is the remainder when k is divided by 15?
12
Let q = -9 - -18. Calculate the remainder when 156 is divided by (-3)/(((-27)/32)/q).
28
Let u(l) = -l**2 - 18*l + 13. Suppose 0*m = -m + 8. Calculate the remainder when u(-12) is divided by m.
5
Suppose -4*f + 3482 = 5*z, 222*f - 225*f + 2606 = z. What is the remainder when f is divided by 180?
148
Suppose -4*c + 76 = -0*c. Let r = 1670 - 1603. What is the remainder when r is divided by c?
10
Suppose 23*n - 1616 = 23*n - 16*n. Suppose -k + 37 - 2 = 0. What is the remainder when n is divided by k?
31
Suppose -61*d + 304 = -59*d. Let b be d - (0 - (-3 + 0)). Suppose -p - 3*q = -b, 4*q + 564 = 3*p + p. Calculate the remainder when p is divided by 36.
35
Let m(s) = -414*s - 6943. Calculate the remainder when m(-24) is divided by 33.
23
Suppose -119 - 11 = -5*d. Let x = d + -38. Let g(a) = a**2 + 11*a + 6. Calculate the remainder when 69 is divided by g(x).
15
Let s be (-4 + -56)/(-3) + 1. Suppose -2*n + 101 - s = -2*k, -4*n = 5*k - 133. Calculate the remainder when (50/15)/(-2)*-87 is divided by n.
34
Calculate the remainder when 474 is divided by (31059/174)/(6/4).
117
Let s be 1356/113*(0 - 102/(-4)). Suppose -20*z + s = -214. What is the remainder when 232 is divided by z?
24
Suppose 661*k - 41667 - 41619 = 0. What is the remainder when 186 is divided by k?
60
Let x(v) = 45*v + 646. What is the remainder when 5791 is divided by x(-14)?
15
Let b(w) = -w**2 - 205*w + 2409. Calculate the remainder when 175 is divided by b(11).
10
Let h = -370 - -379. Suppose -h*p = 124 - 835. What is the remainder when 315 is divided by p?
78
Let b = 72 - 42. Suppose -67*u + b*u + 2812 = 0. What is the remainder when u is divided by 51?
25
Let b(c) = -1092*c**3 - 5*c**2 - 26*c - 24. Calculate the remainder when b(-1) is divided by 13.
10
Let g(v) = -v**3 - 6*v**2 + 0*v**3 + 0*v**2 - 15 - 19*v + v. Calculate the remainder when g(-5) is divided by 20.
10
Suppose -2*n - 15 + 129 = -4*y, -2*n + 60 = 5*y. What is the remainder when 93 is divided by n?
3
Suppose -4*y - 88*y + 235 = -409. Calculate the remainder when 80/((1/2)/1) is divided by y.
6
Let t = -4789 + 5121. What is the remainder when t is divided by 13?
7
Suppose 2*r = -6*w + 5476, 2*r - 5314 = 2*w + 146. Calculate the remainder when r is divided by 38.
34
Let z(m) = -17*m + 1209. What is the remainder when 467 is divided by z(62)?
2
Suppose -219 = -3*w + 2*f + 197, 3*f = -3. What is the remainder when 505 is divided by w?
91
Let d(y) = -y - 7. Let i be d(-12). Suppose -4*m = 5*j - 2*j - 14, 0 = -3*j - i*m + 16. Let t = 71 - j. What is the remainder when t is divided by 18?
15
Let i be 796/(1/(6/12)). Suppose -2*t + i = 222. Calculate the remainder when t is divided by 23.
19
Let a(j) = j**2 + 6*j - 11. Let o be a(2). Calculate the remainder when 79 is divided by (-2 - 29/(-3))/(o/15).
10
Suppose 23*c - 4530 - 413 = 9248. What is the remainder when c is divided by 151?
13
Let w(d) = d**2 + 225*d - 8179. What is the remainder when w(32) is divided by (1 - 1 - -1) + 7?
5
Suppose j - 5296 = -1186. Suppose 38*z - 8*z - j = 0. What is the remainder when z is divided by 37?
26
Suppose -121*p + 7 + 598 = 0. What is the remainder when 53 is divided by p?
3
Let j = 91 + -151. Let p be (9/2)/(10/j). Calculate the remainder when 12 is divided by 1*12*p/(-36).
3
Suppose -143 = -o - 10. Let l = 1358 - 1278. Let n = o - l. What is the remainder when n is divided by 8?
5
Let w(r) = -88*r + 693. What is the remainder when w(-12) is divided by 125?
124
Let b(d) = -2*d**3 + 26*d**2 + 17*d - 212. Let l(h) = 3*h**2 - 5*h - 3. What is the remainder when l(4) is divided by b(13)?
7
Suppose 5*n = m + 17, -m - 12 = -5*m. Suppose 209 = 5*h - 7*c + 5*c, -4*h + n*c + 160 = 0. Calculate the remainder when h is divided by 34.
9
Let p(c) = -17*c - 148. Let q = 703 + -717. Calculate the remainder when p(q) is divided by 25 + 1 + (-4 - -1).
21
Let b(x) = x**3 - 7*x**2 - x - 1. Suppose s - 5*g = -s + 35, 4*g = 5*s - 79. Calculate the remainder when b(8) is divided by s.
10
Let x(f) = 12*f - 148. Let l be 10 - 1/(15/(-12) - -1). Let o = 5 - 1. Calculate the remainder when x(l) is divided by o.
0
Suppose -5*w + 49 + 6 = 0. Calculate the remainder when (-536)/335*(7 + (-58)/4) is divided by w.
1
Let o(z) = z**2 + 13*z - 8. Let c be o(-7). Let g be (-4*42/20)/((-48)/320). Let r = g + c. Calculate the remainder when 21 is divided by r.
3
Suppose 45*l - 18*l = 5157. Let j = -141 + l. What is the remainder when j is divided by 29?
21
Let h be ((-3)/4)/((-77)/(-88) + -1). Calculate the remainder when 13 is divided by 1*(h + -5) + 1.
1
Suppose 1378*d - 918 = 1360*d. What is the remainder when 506 is divided by d?
47
Let l = 120 - -29. Suppose 148 = 3*w - l. Calculate the remainder when w is divided by 26.
21
Let b(d) be the second derivative of -d**3 - d. Let k = 44444 + -44391. Calculate the remainder when k is divided by b(-1).
5
Let v be 3*((-2)/5 - 7/(-5)). Calculate the remainder when 140 is divided by (-103 + 97)/(v/(-23)).
2
Suppose 4*o = 3*d - 4522 + 4430, 4*d = o + 88. Let v(p) = 60*p. Calculate the remainder when v(1) is divided by d.
0
Suppose -a + 192 + 3287 = m, 4*m = 5*m. Calculate the remainder when a is divided by 116.
115
Let w be 0 - (0 - 0/(-2)). Let f = 3 - w. Suppose 7*r - 2*g + 8528 = 8535, -4*r + 3*g = 9. What is the remainder when r is divided by f?
0
Let q = -346 - -373. What is the remainder when 3 + 52 + (-1)/((-2)/(-6)) is divided by q?
25
Let i = 9623 - 9454. Calculate the remainder when 1194 is divided by i.
11
Suppose -5*z = -36*q - 420, 82*z - 79*z + q = 252. Calculate the remainder when 494 is divided by z.
74
Let h(o) be the first derivative of 2*o**3/3 + o**2/2 - 32*o + 60. What is the remainder when h(-11) is divided by 50?
49
Let f(a) = 18*a**3 + 2*a**2 - 10*a + 8. Calculate the remainder when f(1) is divided by 10.
8
Suppose 52*j - 51*j = 18. Suppose -2*y + 42 + j = 0. Calculate the remainder when 86 is divided by y.
26
Let i(q) = -q**2 - 14*q - 38. Let s be (-4)/22 + 258/(-33) + -1. Let c(z) = z**2 + z + 33. Calculate the remainder when c(0) is divided by i(s).
5
Suppose 4*o = -5*l + 39 + 53, 2*o - 2*l - 64 = 0. Let n(t) = -1 + 2*t + t + 20*t**2 + 2 - 4*t. What is the remainder when n(-2) is divided by o?
27
Suppose -33852 = -105*d - 77*d. What is the remainder when d is divided by 100?
86
Suppose -4*p + 10 = v, -45*p + 41*p = 5*v - 130. What is the remainder when 43 is divided by v?
13
Calculate the remainder when ((-45)/12)/(((-1674)/2736)/31) is divided by 49.
43
What is the remainder when 1221 is divided by 21 + 1/(-1 - 16/(-24))?
15
Let p(w) = w**3 - 15*w**2 + 45*w + 15. Let h be ((-6)/(-8))/(7/(-896)*-8). Let a = 36 - 15. Calculate the remainder when p(h) is divided by a.
18
Suppose -346 + 359 = o - 3*c, -3*o = -2*c - 81. Calculate the remainder when 1952 is divided by o.
30
Let o = 215 + -83. Let l(j) = -j**2 + 10*j + 13. Calculate the remainder when o is divided by l(7).
30
Let y = -27820 + 27832. Suppose -4*q - 12 + 32 = 0, -5*k + 4*q + 1890 = 0. What is the remainder when k is divided by y?
10
Let o(m) = 9*m**2 - 4*m + 184. Calculate the remainder when o(-17) is divided by 2.
1
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