vided by 12.
5
Suppose -4*v = 3*h - 1063, -5*v + 85 = -2*h + 809. What is the remainder when 905 is divided by h?
191
Let y(j) = -2*j + 3. Let c be y(-1). Suppose h = 2*i - 458, 0*h + 1143 = c*i - 3*h. Calculate the remainder when (i/35)/(2/10) is divided by 9.
6
Suppose -2*c - 2*n + 63 = 3*c, -3*c + n = -40. Calculate the remainder when (-76)/3*(-9 - (-15)/2) is divided by c.
12
Let o(f) = -f**3 + 8*f**2 + 11*f - 14. Let y be o(9). Suppose -27*t - 195 = -30*t + 4*c, -y*c = -2*t + 126. What is the remainder when 275 is divided by t?
68
Suppose -19*n + 16*n + 36 = 0. What is the remainder when 142 is divided by (n/30)/((-3)/(-270))?
34
Let p = 2927 - 2592. Calculate the remainder when p is divided by 172.
163
Let s(z) = z**3 + 9*z**2 - 11*z - 5. Let k be s(-10). Suppose k*i + 28 = -7. Let b(r) = -r**2 - 12*r - 16. Calculate the remainder when 35 is divided by b(i).
16
Suppose 0 = 37*p - 34*p - 6. Suppose p*z - 165 = -5*u, 6*u - 2*u + z - 129 = 0. What is the remainder when 183 is divided by u?
28
Suppose 147*q - 157*q + 21600 = 0. Calculate the remainder when q is divided by 54.
0
Suppose -3*a = -25*t + 30*t - 980, 2*a = -3*t + 653. What is the remainder when a is divided by 15?
10
What is the remainder when 5498 is divided by (1292/(-16))/((-2)/8)?
7
Let k = -480 + 704. Suppose 20*m - k = 13*m. What is the remainder when m is divided by ((-9)/(-4))/(1/4)?
5
Let l be -5 - (-119)/(-9) - 6/(-27). Calculate the remainder when 28 is divided by (-194)/l + -1 - 30/(-135).
8
Suppose 4*x - 2*x = 96. What is the remainder when 20/(-9) - 2822397/(-14607) is divided by x?
47
Let h(t) = 4*t**2 - 125*t - 60. Suppose -369 + 561 = 6*o. What is the remainder when 177 is divided by h(o)?
33
Calculate the remainder when 41 is divided by (-14)/(-21)*(-72 + 99).
5
Suppose 0 = -5*t + 12 + 23, -584 = -4*v - 4*t. Calculate the remainder when v is divided by 36.
31
Let a = 4239 + -4157. What is the remainder when a is divided by 28?
26
Let i(s) = s**3 - 24*s**2 - 59*s + 233. What is the remainder when 147 is divided by i(26)?
45
Let m = -3016 - -3035. Calculate the remainder when 137 is divided by m.
4
Let v = 74078 - 74055. Let g(w) = 16*w - 8. What is the remainder when g(6) is divided by v?
19
Let l(b) = -56 + 14 - 67 - 3 + b + 2*b. Calculate the remainder when 178 is divided by l(45).
17
Suppose -3*n - 4*j + 3235 = 0, -143*n = -142*n - 4*j - 1089. Calculate the remainder when n is divided by 15.
1
Let s = -21 - -39. Let y = 170362 + -170273. What is the remainder when y is divided by s?
17
Let r(n) = -58*n - 1085. Let a(t) = 2*t + 3. Let k be a(0). Suppose -12 = -k*h - 3. What is the remainder when r(-19) is divided by h?
2
Calculate the remainder when 1551 is divided by 6084/390 + (-2)/(-5).
15
Suppose 0 = 189*s + 4550 - 33656. Calculate the remainder when s is divided by 44.
22
Suppose 4*r + 64 = 4*x, 0 = -r - 0 + 3. Suppose 3*i + 4*v = 2*i - x, -v + 74 = -2*i. Let c = -10 - i. What is the remainder when c is divided by 13?
12
Suppose 0 = c - 2*x - 87, 5*c - 10*c = 5*x - 315. Calculate the remainder when 2927 is divided by c.
16
Let p be -2 + 65 - 6/(-3 + 1). Suppose -4*s + 5*h + 70 = 0, -p = -s - 2*s - 3*h. What is the remainder when 0 + 2 - (-136)/4 is divided by s?
16
Suppose -3*u - 8 = -29. Let i(m) = m**2 + 7*m + 2. Let x be i(-3). Let l = x - -19. Calculate the remainder when l is divided by u.
2
Let g(r) = 69*r**2 + 22*r - 21. Let i be g(1). Suppose 2*h = 6*h - 184. Let q = i - h. What is the remainder when 118 is divided by q?
22
Suppose 28*c - 4141 = -893. Let f = 208 - c. What is the remainder when f is divided by 33?
26
Let d be -1 + 19 - (2 - -1). Let t(j) = j**2 - 17*j + 36. Suppose h = 13 + 3. Calculate the remainder when h is divided by t(d).
4
Suppose -999 = -4*j - 7*d, 3126 = 4*d + 3154. Calculate the remainder when 1063 is divided by j.
15
Suppose 0 = -i - 2*d + 11, -d - 39 = -5*i - 3*d. Let k(j) = -2*j**3 + 17*j**2 - 3*j + 8. What is the remainder when k(i) is divided by 20?
14
Let b = -12702 + 12711. Let o = 463 - 249. Calculate the remainder when o is divided by b.
7
Let d = -167 - 79. Let k = d - -275. What is the remainder when 51 is divided by k?
22
Let v = -1 - -5. Suppose 3*s + 3 = x, 9*s = 11*s + 3*x - 20. Let l = v - s. Calculate the remainder when 17 is divided by l.
2
Suppose 483*l = 366*l + 5382. Calculate the remainder when 729 is divided by l.
39
Let r = -4596 - -4612. Calculate the remainder when 123 is divided by r.
11
Let y(c) = c - 27*c + c + 2*c + 4*c - 8. Calculate the remainder when y(-3) is divided by 17.
15
Suppose 261*r = 2670 + 3072. Calculate the remainder when 2858 is divided by r.
20
Suppose 3*p + 22 - 3 = 5*s, -2*s + 2 = -4*p. Suppose -2*y + y + 42 = -4*q, -4*q - 100 = -p*y. Calculate the remainder when y is divided by 25.
8
Let q(o) = -5*o - 32. Let z be q(-6). Let u be 54*z + 1/(-1)*-2. Let j = u - -147. Calculate the remainder when 161 is divided by j.
38
Let y = 17908 - 17058. What is the remainder when y is divided by 95?
90
Let c(h) = -80 + 23*h + 22 - 69. Calculate the remainder when 18 is divided by c(6).
7
Suppose -9*q + 444 = -5*q. Suppose -2*l + 6*g + 20 = 12*g, -g + 46 = 3*l. Calculate the remainder when q is divided by l.
15
Let r = -801 - -1088. Suppose -v = -5*c + 3*v + 377, c + 3*v = 64. What is the remainder when r is divided by c?
68
Suppose 3*f - 4*h - 11 = -53, 4*f + 78 = -2*h. Calculate the remainder when 379 is divided by (f/3)/(5/(-80)).
91
Suppose -3*l + 40 = -4*z, -3*z - 4 = -66*l + 67*l. Calculate the remainder when 447 is divided by l.
7
Let h = -49 + 44. Let f = h + 2. What is the remainder when 3 + f + 25 + -4 is divided by 11?
10
Suppose 5*d - 8306 = -4*g, -185*g + 188*g + 3 = 0. What is the remainder when d is divided by 12?
6
Suppose 0 = 4*y - 37 - 11. Let u = 453 - 394. Calculate the remainder when u is divided by y.
11
Suppose -11*u + 51 = -862. Suppose -2*t = 4*y - 48, -5*t - 3*y + 30 + u = 0. Calculate the remainder when t is divided by 2.
0
Suppose 106*r - 19984 = 5032. What is the remainder when 952 is divided by r?
8
Let y(z) = 38*z - 1. Let v = -122 - -125. What is the remainder when y(v) is divided by 23?
21
Suppose 5*b - 288 = 3*y, -y + 6301 - 6416 = -2*b. Let l(f) = 13*f**2 + 4*f - 1. What is the remainder when l(-3) is divided by b?
47
Let g(r) = -r**2 + 5*r + 2. Let a be g(5). Suppose -1095 = -815*p + 7055. What is the remainder when a/6 + (-220)/(-6) is divided by p?
7
Let g(t) = -3*t**3 - 10*t**2 - 21*t - 19. Let j be g(-5). Let o be -88 - (1 + (-4 - 0)). Let p = o + j. What is the remainder when p is divided by 8?
6
Let v(h) = 19*h**2 + 695*h - 1396. Suppose y = -3*y + 96. What is the remainder when v(2) is divided by y?
22
Let v = 8308 - 6525. Calculate the remainder when v is divided by 56.
47
What is the remainder when 488 is divided by (12/(-9))/(356/(-31239))?
20
Suppose 0 = -32*s + 30*s + 8. What is the remainder when (-3 + (-8)/s*-1)*-33 is divided by 7?
5
Let s = 7806 + -7799. What is the remainder when 4632 is divided by s?
5
What is the remainder when -4*1 - (-7 - (1800/9 - 1)) is divided by 170?
32
Suppose -u - 199 = -2*y - 1155, 4780 = 5*u - 5*y. Calculate the remainder when u is divided by 79.
8
Let v(n) = n + 13. Let a(w) = w + 13. Let g(y) = 5*a(y) - 4*v(y). Suppose -267*j = -258*j + 54. What is the remainder when 10 is divided by g(j)?
3
Let k = -14346 + 25064. Calculate the remainder when k is divided by 160.
158
Suppose -53 = 6*z - 401. What is the remainder when ((-10)/(-6))/(7/714*1) is divided by z?
54
Let i = 2025 - 1902. What is the remainder when 425 is divided by i?
56
Let q(n) = -n**3 + 24*n**2 + 30*n + 4. Let w = -99 - -124. What is the remainder when q(w) is divided by 6?
3
Let s(f) = f + 6. Let w be s(12). Suppose -22*v = -w*v - 12. Suppose -62 = c - v*c. What is the remainder when c is divided by 8?
7
Let m(t) = 2*t**3 - t**2 - 2*t - 4. Let l be m(-2). What is the remainder when l/90 - (-83)/9 is divided by 2?
1
Let l(d) = -139*d. Let s(f) = 2*f**2 - 197*f + 3347. Calculate the remainder when l(-1) is divided by s(77).
31
Suppose -5*b - 175 = -245. Suppose b = 2*j + 8. Calculate the remainder when 12 is divided by ((-77)/j)/(-7) - 3/(-9).
0
Suppose 7*h + 4994 - 5022 = 0. Suppose 0 = w + w - 50. What is the remainder when w is divided