er when 118 is divided by a(8).
18
Let s(x) = -4*x. Let p be s(-1). Suppose -5*u = 10, -3*u + 35 = p*r - 47. What is the remainder when r is divided by 4?
2
Let w(u) = -u**2 - 23*u + 10. What is the remainder when 16 is divided by w(-23)?
6
Suppose 2*x - 4*b = -0*b + 68, -5*x + b + 143 = 0. Let p = x + -16. Calculate the remainder when 45 is divided by p.
9
Let b = 11 - 9. Suppose 5*d + b = 7*d. What is the remainder when (-334)/(-16) + d/8 is divided by 13?
8
Let t(y) = -20*y - 26*y + 53*y - 14. Calculate the remainder when t(15) is divided by 26.
13
Let m = 35 - 14. Suppose 2*t + 5 - 19 = -a, -32 = -4*a - 2*t. Calculate the remainder when m is divided by a.
3
What is the remainder when 41 is divided by (-4)/(-14)*294/6?
13
Let c(f) = 13*f - 138. What is the remainder when 128 is divided by c(14)?
40
Suppose 0*x - x - 6 = 0. What is the remainder when (32/(-24))/(x/45) is divided by (3/(-2))/(1/(-2))?
1
Let g(q) = -q**3 + 6*q**2 + 2*q - 1. Let x be g(6). Suppose -d + 24 = 2*d. Suppose -w = -d - x. Calculate the remainder when w is divided by 5.
4
Suppose -25*b = -62 - 1938. Calculate the remainder when 1277 is divided by b.
77
What is the remainder when (24 + 61)*(81/(-5))/(-3) is divided by 10?
9
Let l be (-40)/(-22) - (-8)/44. Let z(t) = 6*t**2 - 5*t + 1. Calculate the remainder when 44 is divided by z(l).
14
Let y = -8 + 29. Suppose -261 = -8*n + 227. What is the remainder when n is divided by y?
19
Let o = -72 + 114. Let p = o + -93. Let n = p - -76. Calculate the remainder when n is divided by 7.
4
Let x be ((-10)/8)/((-1)/4). Suppose -h = -t + 75, -3*t = t + x*h - 327. Calculate the remainder when t is divided by 906/45 + 4/120*-4.
18
Let a = -1131 + 1180. What is the remainder when a is divided by 11?
5
Suppose 3*u + 6 = 4*u. Suppose 0 = r + 5, -u*m - 2*r + 2 = -3*m. Suppose -3*h + z + 10 = 0, -3*z = -5*z - 8. Calculate the remainder when m is divided by h.
0
Let a be (-4)/(-6)*(-3 + 0). Let u = a + 18. What is the remainder when 46 is divided by u?
14
Suppose 0 = 3*q - 115*s + 113*s - 80, -5*q + 145 = -s. What is the remainder when 46 is divided by q?
16
Let o = 49 - 46. Suppose 4*z - h = 11, o*h + h = -4*z + 16. What is the remainder when (6/(-4))/(2/(-4)) is divided by z?
0
Let r(c) = 2*c - 12. Suppose -n + 5*n - 20 = 0. Let o be r(n). Let z(k) = 16*k**2 + 3*k. Calculate the remainder when z(o) is divided by 15.
13
Let m = 1 + -12. Let a = m - -5. What is the remainder when 11 is divided by 80/30*a/(-4)?
3
Let p(o) = o**3 + 10*o**2 - 14*o + 4. Let b be p(-11). Suppose -5*y = -0*y - 4*d - 181, y - d = b. Calculate the remainder when y is divided by 19.
14
Suppose -5*c + 2*m + 1793 = 5*m, 0 = 4*c - m - 1448. What is the remainder when c is divided by 73?
69
Suppose 5*m - 436 - 119 = 0. What is the remainder when m is divided by 8?
7
Suppose 5*m - 56 = m. Let x(h) = h**2 - 2*h + 54. Let l be 1 - (-7)/(-5) - 10/(-25). What is the remainder when x(l) is divided by m?
12
Suppose 0 = 3*c + 6*c - 360. What is the remainder when 198 is divided by c?
38
Calculate the remainder when (-1)/(-8) - (-6489)/56 is divided by 13.
12
Let b(g) = -11*g + 7. Let c = -10 + 12. Suppose 87 = 5*u + c. What is the remainder when b(-5) is divided by u?
11
Let g be (-4)/(-6) + (-64)/(-3). What is the remainder when g/99 + 511/9 is divided by 12?
9
Let z = -474 - -487. What is the remainder when 63 is divided by z?
11
Let c(t) = 15*t + 312. Let p(z) = -z**3 + 4*z**2 + 2. Let o be p(2). Let l = o - 3. Calculate the remainder when c(-19) is divided by l.
6
Suppose 4*k + 7 - 63 = 0. Suppose 0*c - 2*c = -k. Calculate the remainder when 12 is divided by c.
5
Let d be 6/(-24) - ((-1804)/(-16) + -3). Let s = d + 167. What is the remainder when s is divided by 30?
27
Suppose 2*v + 38 = 154. What is the remainder when 63 is divided by v?
5
Suppose 0 = 5*g + 5*o + 270, g + 2*o = -0*o - 51. Let t be 2*(-4)/(24/g). Let q = 32 - t. Calculate the remainder when 36 is divided by q.
10
Let t(a) = -4*a - 12. Let z be ((-6)/(-9))/(-1)*21. Let w = -24 - z. Calculate the remainder when 54 is divided by t(w).
26
Let g(b) = b**2 - 2*b. Suppose -3*q = -w - 2*w - 69, -3*q + 5*w + 73 = 0. What is the remainder when q is divided by g(4)?
5
Let c be (-27)/(-2)*8/(-6). Let x be (110/(-33))/(4/c). Suppose -4*z + x = -21. Calculate the remainder when 34 is divided by z.
7
Let l(c) = 60 - 28*c - 29*c**2 + 19*c**2 + 11*c**2. What is the remainder when l(26) is divided by 0/1 + 6/1?
2
Suppose -9 + 11 = f. Let t = 90 + -32. Suppose -t = -4*l - f*a, -3*a - a + 8 = -l. Calculate the remainder when 33 is divided by l.
9
Let i = -100 - -122. Let s = 26 - i. Calculate the remainder when 16 is divided by s.
0
Let l(k) = 2*k + 17. Let z be l(-7). Suppose z*o + 4*f - 85 = 0, -72 = -2*o - f + 6*f. What is the remainder when o is divided by 16?
15
Let m(l) = 2*l**2 + 1. Let t(d) = d. Let a be t(-1). Let r be m(a). Calculate the remainder when 57 is divided by 59/5 - r/(-15).
9
Suppose 2*v = 4*v. Suppose -28 = -4*i + 4*h, -i - h + 5*h - 2 = v. What is the remainder when 17 is divided by i?
7
Let u = -19 - -16. Calculate the remainder when 7 is divided by u + 3 + 3 + 2.
2
Let q = -929 - -934. Calculate the remainder when 56 is divided by q.
1
Suppose 13 = -5*d + 38. Suppose 5*v - d*t = 115, v + 0*t + 2*t - 32 = 0. What is the remainder when v is divided by 7?
5
Let x(y) = 5*y**2 - 61*y - 3. Calculate the remainder when x(13) is divided by 6.
1
Let o be ((-64)/80)/((-1)/535). Suppose -73*t - o = -75*t. Calculate the remainder when t is divided by 18.
16
Let p = 697 - 289. Calculate the remainder when p is divided by 103.
99
Let h = 25 + -21. Let q be (1 - -1)/(h/6). Suppose q*d = -0*d + 69. Calculate the remainder when 44 is divided by d.
21
Let z = -7 - -10. Let h be (-4 + z - -3) + -1. Calculate the remainder when 18 is divided by (3 - 0) + 2/h.
3
Suppose 8*f - 60 = 5*f. Suppose 0 = 3*p - 2*p - 2*d - 2, -4*d + f = 4*p. Suppose p*b + 8 = 56. Calculate the remainder when 45 is divided by b.
9
Let m = 1318 - 1276. Calculate the remainder when 369 is divided by m.
33
Suppose -n + 77 = -0*n. Suppose -9*p + 88 = -11*p. Let c = n + p. Calculate the remainder when c is divided by 18.
15
Let g = -886 - -626. Let l be (-2)/2*g/4. Suppose l = 5*n + 15. Calculate the remainder when 37 is divided by n.
7
Let r = 17 + -16. Suppose -18 = 3*q - 5*k, -2*q - k = 2*q + r. Calculate the remainder when (-103)/(q - -2)*-1 is divided by 21.
19
Let n be -2*(-4)/2*-2. Suppose -4*p - 2*r = 0, 3*r - 3 = -5*p + 2*r. What is the remainder when 9 is divided by (n/10)/(p/(-5))?
1
Suppose 7728 = 81*l - 39*l. Calculate the remainder when l is divided by 66.
52
Let i = 84 + 6. Suppose 30 = 2*a + 4*o, -3*a - 2*o = a - i. What is the remainder when 80 is divided by a?
5
Let c = -24 - 1. Let b = c - -36. What is the remainder when 1/((-40)/42 + 1) is divided by b?
10
Suppose 3*s = 2*c + 11, 0 = 4*s - 2*c - 0*c - 18. Suppose 3*o - 2*h - 3 = 3, -2*o - s = -5*h. Let z = -24 + 26. Calculate the remainder when o is divided by z.
0
Suppose 0 = -17*p + 19*p - 176. What is the remainder when p is divided by 75?
13
Suppose 7*s - 2771 = -2057. What is the remainder when s is divided by ((-6)/(-3))/(4/42)?
18
Suppose -58 = -2*v - z + 37, 5*v + 4*z - 230 = 0. Let q = 13 + 4. Calculate the remainder when v is divided by q.
16
Suppose 3*u + 2*n - 64 = u, -5*u - 3*n + 162 = 0. Calculate the remainder when 64 is divided by u.
31
Let y(r) = r**3 - 3*r**2 - r - 9. Let i(q) = 2*q**3 - q**2 - 3*q + 2. Let a be i(2). Suppose a = h + 3*h. Calculate the remainder when y(4) is divided by h.
1
Let a = 41 + -18. Suppose 0 = 10*k - 9*k - a. Calculate the remainder when k is divided by 4.
3
Let f(x) = 26*x**2 + 3*x - 2. Calculate the remainder when f(1) is divided by 5.
2
Let r(n) = -n + 1. Let d = -6 - -8. Suppose -t + 12 = -d. Calculate the remainder when t is divided by r(-3).
2
Calculate the remainder when (-252)/(-6) - 6*(0 + 1) is divided by 18.
0
Suppose 27*m + 44*m - 109269 = 0. Calculate the remainder when m is divided by 77.
76
Suppose -4*t + 3 = -t. Let b = t - -24. Calculate the remainder when 97 is divided by b.
22
Let m be ((-30)/(-9))/((-4)/(-42)). Suppose -m = 6*y - 11*y. Suppose 69 - 1 = 4*j + 4*p, 2*j - 4*p - 4 = 0. What is the remainder when j is