43
Suppose -59*a + 69*a - 4460 = 0. Suppose -8*v = -4*x - 13*v + 587, -3*x + 2*v + a = 0. Calculate the remainder when x is divided by 80.
68
Suppose 2*f = -j + 254, 132*j - 770 = 129*j - 2*f. What is the remainder when 1528 is divided by j?
238
Let w(n) = 2*n - 26. Let o = 104 + -69. Suppose -8*g = -93 - o. What is the remainder when 9 is divided by w(g)?
3
Suppose -305*p + i + 1684 = -302*p, -4*p = -2*i - 2250. What is the remainder when p is divided by 62?
1
Suppose -5 = -6*w + 1. Suppose -5 = -m - w. Suppose t = -3*t - 20, 107 = m*k + 5*t. Calculate the remainder when 62 is divided by k.
29
Suppose -5 = 3*a + 73. Let r = a - -24. Calculate the remainder when (-5 - -3) + ((-100)/r - 1) is divided by 6.
5
Let k be (-14)/(-6) + -13*(-26)/507. Suppose k*d = -5*q + 1045, -6*d + 1054 = -3*d - 4*q. Calculate the remainder when d is divided by 21.
14
Let n be (78/(-52))/(3/206). Let w = 111 + n. Calculate the remainder when 42 is divided by w.
2
Suppose -3*h + m + 9060 = 0, 15100 = -64*h + 69*h + 4*m. What is the remainder when h is divided by 27?
23
Let y be (-324 - -326)*2/((-8)/(-362)). Suppose -5*t = -354 - y. What is the remainder when t is divided by (-24 + 0)/((-14)/21)?
35
Let a(z) = 5*z**2 + 11*z - 5. What is the remainder when (-2 + -5)/(0 - 3/12) is divided by a(-3)?
0
Suppose 0 = -422*u + 421*u - 3*x + 42, 5*x = -2*u + 77. What is the remainder when 2559 is divided by u?
18
Let r = 771 - 1296. Let y = -362 - r. Suppose 0 = 4*j + 4*h - 148, j - 2*h - 58 = -j. Calculate the remainder when y is divided by j.
31
Calculate the remainder when 1392/261*(1 - 2686/(-8)) + 3 is divided by 50.
49
Let r(n) = n**2 - 83*n + 687. Calculate the remainder when 3043 is divided by r(8).
85
Suppose -3*o + 25 = -2*k, -3*k + 11 = o - k. Let b(z) = 52*z - 919. Calculate the remainder when b(18) is divided by o.
8
Let l(d) = -4*d**2 + 15*d - 30. Let w(t) = 7*t**2 - 31*t + 61. Let j(a) = -5*l(a) - 3*w(a). What is the remainder when j(6) is divided by 16?
7
Let l(q) = q**2 + 52*q + 7 + 13 - 108*q + 44*q. Let y(z) = z**2 + 13*z + 12. Let v be y(-13). What is the remainder when l(v) is divided by 8?
4
Let n(s) = -9*s + 49. Let b be n(15). Let x = 92 + b. Calculate the remainder when 77 is divided by x.
5
Let z = -12 + 12. Suppose 3*i + 7 - 49 = z. Calculate the remainder when i is divided by 12.
2
Suppose 7*n - 28 = -7. Let w be ((-369)/(-27))/((-1)/3). Let a = 44 + w. What is the remainder when a is divided by n?
0
Let s(l) = -l**3 + 197*l + 4. Calculate the remainder when (-2)/(-6) + 16*(-69)/(-9) is divided by s(14).
15
Let p = 240 + -95. Calculate the remainder when p is divided by -1528*27/(-1656) + (-22)/(-253).
20
Let x = -10050 - -14789. Calculate the remainder when x is divided by 17.
13
Let z(j) = 18*j + 15*j - 36*j + 3 - 6*j**2. Let t be z(-3). Let b = -37 - t. What is the remainder when 13 is divided by b?
3
Let h = 7707 - 5748. What is the remainder when h is divided by 62?
37
Calculate the remainder when 401 is divided by (-49)/(-28) - -1*(-634)/(-8).
77
Let q be 4 + ((-8)/(-16) - 99/2). Let h = 54 + q. What is the remainder when 59 is divided by h?
5
Let i(m) = 5*m**2 + 2*m + 3. Let o be i(-2). Let k be o/(-1)*21/(-7). Suppose -5*j = 15, -6 = -5*y + j + k. What is the remainder when y is divided by 5?
2
Suppose i = -2*n + 2, -3*n + n - 3*i - 2 = 0. Suppose -3*x - 39 = -n*j, 2*j + 3*j - 3*x - 75 = 0. Calculate the remainder when 43 is divided by j.
7
Suppose -820 = -f + 4*a, 4*f - 250*a - 3360 = -254*a. What is the remainder when f is divided by 53?
41
Let a = -34 - -77. Suppose -5*n - a = -f, 2*f - n - 21 = 20. What is the remainder when f is divided by 3 - ((-2)/(-8) + (-78)/24)?
0
Let x = 206 + -131. Let f = -12163 - -12835. Calculate the remainder when f is divided by x.
72
Let j(x) = -x**3 - 27*x**2 - 31*x - 35. Let f be j(-26). Suppose -3*v = 4*g - 61, -5*v + 2*g = 7*g - f. What is the remainder when 101 is divided by v?
11
Let l = -4308 - -4319. Calculate the remainder when 152 is divided by l.
9
Let a = 6313 - 6272. Calculate the remainder when 408 is divided by a.
39
Let c = 16110 - 16023. Suppose 3*z - 3*m + 159 = 0, -6*z + z = 3*m + 233. Let w = -27 - z. What is the remainder when c is divided by w?
21
Suppose -33*d + 153 = 18*d. Suppose 3*v = -6*n + d*n + 669, 458 = 2*n - 2*v. What is the remainder when n is divided by 19?
17
Let i = -1 + 20. Let m be ((-43)/2)/(((-285)/(-19))/60). What is the remainder when m/(-129) - 106/(-3) is divided by i?
17
Let y(g) = 168*g**3 - g**2 + 2*g. Let z be y(1). Suppose 5*o - 654 + z = 0. Let h = 41 + -21. What is the remainder when o is divided by h?
17
Let m(o) = 2*o + 2. Let n be ((-42)/(-9))/(0 + (-6)/(-9)). Let t = 11 - n. Calculate the remainder when 47 is divided by m(t).
7
Let c(t) = -25*t - 22. Let n be c(-1). Suppose -4 = -2*r - 4*g, -13*r + 11*r + 11 = -n*g. Calculate the remainder when 13 is divided by r.
1
Let l = 362 - 316. Suppose l*y = 22*y + 4104. Calculate the remainder when y is divided by 35.
31
Let v(s) = 30*s**3. Let a(l) = -l**3 + 7*l**2 + 9*l - 7. Let j be a(8). What is the remainder when v(j) is divided by 12?
6
Let c(x) = -x**2 + 25*x + 112. Let u be c(29). Calculate the remainder when 742 is divided by (-80)/(-8) + u/(-6)*3.
10
Let l = -4651 + 4894. Calculate the remainder when 760 is divided by l.
31
Let s(g) = -2*g**3 - 19*g**2 + 96*g + 101. Suppose 3*d = 2*c - 29, -2*d - 2 = -0*d. What is the remainder when s(-13) is divided by c?
10
Let l = 539 - 305. Let o = -43 - -67. What is the remainder when (-24)/30 - l/(-5) is divided by o?
22
Let t = -3678 + 3702. What is the remainder when 887 is divided by t?
23
Let r(b) = -4*b + 45. Suppose -4*g - 40 = -7*p + 2*p, -g = p - 8. What is the remainder when 32 is divided by r(p)?
6
Let b = -183 - -233. Let r = -16 + b. What is the remainder when 271 is divided by r?
33
Suppose w - 13 = -0*w + 3*m, 5*m = -w + 13. Let k(z) = -8*z**2 - 19*z - 52. Let r be k(-5). Let o = -149 - r. What is the remainder when w is divided by o?
5
Let t(b) = b**3 - 96*b**2 - 101*b + 399. Suppose -2*s + 6 = 0, 41 = 2*n - 0*n + s. What is the remainder when n is divided by t(97)?
8
Suppose -54 = -4*b + 2*b. Suppose 0 = 8*a - 11*a + b. What is the remainder when a is divided by 5?
4
What is the remainder when -2 + 7 + ((-4)/((-32)/47816) - 4) is divided by 230?
228
Suppose -269 = 2*y - 175. What is the remainder when 160 is divided by (5 - 1) + (5 - y)?
48
Let q(j) = 11*j - 103. Let b(i) = -i**2 - 10*i + 29. Let r be b(-14). Let t = 38 + r. Calculate the remainder when q(13) is divided by t.
7
Suppose -13 + 21 = 4*b. Suppose 5*v - 90 - 11 = 3*h, -b*v - 2*h + 50 = 0. What is the remainder when 37 is divided by v?
15
Suppose 0 = 11*w - 39*w + 1820. Calculate the remainder when 5326 is divided by w.
61
Suppose 1184 + 7005 + 5177 = 41*s. What is the remainder when s is divided by 319?
7
What is the remainder when 772 is divided by (((-40)/96)/(1/3))/((-117)/4680)?
22
Let f be ((-35)/(-35))/((-9)/6 - -2). What is the remainder when 153 is divided by 34 + f*((-45)/(-6) - 5)?
36
Let t be (-3)/27 - 13341/(-27). Suppose 491*s = t*s - 735. Calculate the remainder when s is divided by 82.
81
Calculate the remainder when 76/95 - (2/(-6) + (-1016)/30) is divided by 34.
1
Suppose -865*u - 132 = -871*u. Suppose 3*b + 114 = u*b. What is the remainder when 27 is divided by b?
3
Suppose -19*v = -77 - 1899. Let u = -29 + v. Suppose 0 = 3*w - 16 - 41. What is the remainder when u is divided by w?
18
Let j(i) = 4*i**2 - 26*i - 101. Let k(z) = -2*z**2 + 13*z + 51. Let x(l) = -4*j(l) - 7*k(l). What is the remainder when x(6) is divided by 39?
14
Let w(l) = l**2 + 10*l - 9. Let z be w(-7). Let b = -6 - z. Suppose -b = -2*n - 16. Calculate the remainder when 21 is divided by n.
1
Let k = 6198 + -5211. What is the remainder when k is divided by 36?
15
Suppose -56*v + 1240 = -1112. What is the remainder when 112 is divided by v?
28
Suppose 8*y + 67 + 93 = 0. Let b = -40 - y. Let o = 40 + b. Calculate the remainder when 51 is divided by o.
11
Let i = -3072 - -3388. What is the remainder when i is divided by 123?
70
Let h(z) = -42*z + 3. Let x = -114297 + 114331. Calculate the remainder when h(-3) is divided by x.
27
Suppose -12 = -c + 282. Let y = -185 + c. Let z = -96 + y. What is t