z + 17. Suppose 0 = z*a - 20*a + 45. Calculate the remainder when 72 is divided by a.
12
Let b be 36 - (-4)/(-12)*3. Let s = 123 - b. What is the remainder when s is divided by 45?
43
Suppose -3 = 7*m - 8*m. Let n be (2 - -8)*13/1. Suppose -5*d - 78 = -t - t, -m*t + d = -n. What is the remainder when t is divided by 15?
14
Suppose -1239 = -17*f - 4*f. Suppose -2*t - 25 = -7*t. Suppose -t*b + m = -61, -f + 4 = -5*b - 5*m. Calculate the remainder when 35 is divided by b.
11
Calculate the remainder when 3261 is divided by 5440/120 - 40/(-15).
45
Suppose 0 = -2*z + 5*y + 18, 0 = -y + 2*y + 2. Suppose -4*k + 2*t + 73 = k, k - 11 = z*t. Calculate the remainder when (-4)/5 - (-588)/10 is divided by k.
13
Suppose 5 = 3*w - 5*m - 94, -3*m - 132 = -4*w. Calculate the remainder when 228 is divided by w.
30
Suppose -5*s - 11 = 9. Let f be -1 + 20 + (s - -2). Suppose -b + f = c, -5*c + 51 = 3*b - 0*b. What is the remainder when b is divided by 5?
2
Suppose 4*w = 4*y + 59 + 33, -5 = y. Let a be 4/14 + 4/(-14). Suppose 0*p - p + 34 = a. What is the remainder when p is divided by w?
16
Let m = 17 - 13. Suppose -m*u - 9 = -49. Calculate the remainder when u is divided by (-60)/(-14) + (-4)/14.
2
Let x be (-19)/(-5) + -4 + (-121)/(-5). Calculate the remainder when 129 is divided by (5/4 - (-6)/x)*22.
30
Let s be 3*(-6)/15*255/(-9). Suppose -4*h + 59 + 5 = 4*c, -s = -4*h + 2*c. Calculate the remainder when 30 is divided by h.
8
Suppose -s = -4 + 2. Suppose 3*g = -c - 38, 0*g = -g + s*c - 1. Let d = g - -45. Calculate the remainder when d is divided by 13.
8
Suppose -6*s - 5*v - 73 = -10*s, v - 25 = -s. Calculate the remainder when 415 is divided by s.
19
Let a be 40/22 + (-2)/(-11). Suppose 5*t + 15 = a*f, 4*t = 3*f + f - 48. Calculate the remainder when 29 is divided by f.
14
Let q = -236 + 495. Calculate the remainder when q is divided by 26.
25
Suppose -6*v = -3*v + 300. Let c be v/(-1)*3/4. Let a = c - 41. Calculate the remainder when a is divided by 12.
10
Suppose -2*m = -723 - 567. Calculate the remainder when m is divided by 38.
37
Suppose 3*y - 6 = -0*y. Suppose 0 = b - 0 - y. Suppose 20 = 3*x + b*x. What is the remainder when x is divided by 2?
0
Suppose -2*a = 7*u - 3*u - 110, 4*u - 114 = 2*a. What is the remainder when u is divided by 20?
8
Suppose 6*h - 83 - 31 = 4*g, h - 4*g - 19 = 0. What is the remainder when 474 is divided by h?
18
Suppose -2*w - 5*j = -10, -3*j + 9 = w + 6. Let v(k) = -2*k + 3. Let d be v(2). Let u(l) = -28*l + 1. Calculate the remainder when u(d) is divided by w.
14
Suppose -7*r = -2*r + 4*q - 67, 9 = 3*q. Let c = 19 - r. Suppose -8*b + 5*b + 87 = 0. What is the remainder when b is divided by c?
5
Suppose 2*g - 26 = -0*g - 4*y, -3*y + 6 = -3*g. Let j(l) = -l**2 - 2*l + 5. Let m be j(-4). Calculate the remainder when 21 - (g/m + 4) is divided by 5.
3
Suppose 0 = -3*z + 4*z + 4, -n - 3*z + 47 = 0. What is the remainder when 69 is divided by n?
10
Let h = -349 - -450. Calculate the remainder when h is divided by 23.
9
Suppose -4*w + 7*w = 5*y - 295, 211 = 3*y + 5*w. What is the remainder when y is divided by 21?
20
Suppose h = 4*h - 84. Suppose -u - 3*k - 114 = -6*u, -2*u + 5*k = -57. What is the remainder when h is divided by 321/u + (-4)/14?
13
Let n(x) = -225*x**3 - 2*x**2 - 4*x - 2. Let p be n(-1). Suppose 0*j - 3*j = 3, 0 = 5*u - 5*j - p. Calculate the remainder when u is divided by 7.
2
Let k(m) = 191*m**2. Let n be k(1). Suppose 0 = 4*w + 3*c - n, -17 = -w + 5*c + 25. Suppose -3*v + 34 = -w. Calculate the remainder when 80 is divided by v.
26
What is the remainder when 55 is divided by (-5*12/(-15))/(6/21)?
13
Let u(q) = q - 14. Let c be u(12). Let o be 2/(-10) + c/(-10). Suppose o = -k - 5*l + 13, -3*k + 65 = -l - 38. Calculate the remainder when k is divided by 18.
15
Let l = -39 - -41. Suppose 0 = -4*n - 4*v + 136, 2*n + 3*v = -l*v + 83. Calculate the remainder when 115 is divided by n.
28
Let g = 22 - 12. Suppose -2*v + 81 = -2*n - 61, -5*n = -4*v + 278. Calculate the remainder when v is divided by g.
7
Suppose -4 = -5*u + 86. Let l = 15554 + -15502. What is the remainder when l is divided by u?
16
Let n(i) = -i**2 + 17*i - 5. Calculate the remainder when n(5) is divided by 33.
22
Suppose 34 + 11 = -5*x. Let j = 41 + x. Suppose -4*r + 0*a = -4*a - j, a = -3. Calculate the remainder when r is divided by 3.
2
Suppose -d + 5*c = -30, 3*d - 2 = c + 32. Suppose d*a - 7 = 113. Calculate the remainder when 59 is divided by a.
11
Suppose 2*g = -g + 12. Suppose -g*v - c + 56 = -2*c, -5*v - 2*c = -83. Suppose y = 4*d - 0*d + 4, -d = 4*y - 33. Calculate the remainder when v is divided by y.
7
Let c = 151 + -96. What is the remainder when c is divided by 27?
1
Let f = 305 + -295. Calculate the remainder when f is divided by 3.
1
Calculate the remainder when 200 is divided by (-308)/(-6) + (-64)/(-96).
44
Let j(t) = -t**2 - 6*t - 1. Let s be j(-5). Suppose -s*x + 19 = 3*o, 15 + 12 = 2*x + 5*o. Calculate the remainder when 15 is divided by x*(3 - 1 - -7).
6
Suppose -2*u + 32 = -2*p, 2*u + 4*p - 42 + 16 = 0. Suppose -13 = -b - 6*l + 3*l, b - 21 = -5*l. What is the remainder when (85 + b)*6/12 is divided by u?
13
Let p(f) = 5*f**3 - 6*f**2 - 2*f - 11. Let c(r) = -3*r**3 + 3*r**2 + r + 5. Let d(g) = -7*c(g) - 4*p(g). Calculate the remainder when d(-3) is divided by 5.
1
Let c = -51 - -48. Let u(n) = -n**3 + n**2 + 3*n - 3. What is the remainder when u(c) is divided by 13?
11
Suppose 319 = 6*r + 5*r. Suppose 0 = -5*g + 3 + 52. Calculate the remainder when r is divided by g.
7
Let o = 38 + -34. Suppose -3*y = -3*n + 7*n - 427, 4*n - 448 = o*y. What is the remainder when n is divided by 55?
54
Let u(n) = 5*n + 5. Let v be u(-3). Suppose 0 = 5*x + 4*t + 3 - 172, 2*t - 68 = -2*x. Calculate the remainder when x is divided by (-4)/v + 174/15.
9
Let r(k) = k**2 - 6*k + 6. Suppose -33 = -4*u - 13. Suppose -u*v + 17 = -4*d, -v - 3*d + d + 9 = 0. What is the remainder when r(7) is divided by v?
3
Let l(u) = u**2 - u - 1. Let g = -13 - -43. What is the remainder when g is divided by l(-3)?
8
Suppose -u + 4*h + 12 = -3*u, -u = -h - 6. Suppose -s = -5*l + u + 2, s + l = 26. Calculate the remainder when s is divided by (-3)/(21/(-14) + 1).
3
What is the remainder when (-125)/(-20)*72/5 is divided by 40?
10
Let j = -171 + 96. Let h = -147 - j. Calculate the remainder when 5 is divided by h/(-45)*5/2.
1
Suppose 2*l = 2*o + 14, -5*l - 2*o + 14 = -0*l. Suppose l*r - 176 = 32. What is the remainder when r is divided by 11?
8
Suppose -4*x - 3*o = -355, x - 3*x + 5*o + 145 = 0. What is the remainder when x is divided by 15?
10
Let i(z) = 3*z**2 - 5*z + 2. Let l = 45 + -40. What is the remainder when i(l) is divided by 15?
7
Suppose -8 + 5 = -r. Suppose 5*h - 2*u - 193 = -3*u, r*u + 143 = 4*h. What is the remainder when h is divided by 13?
12
Let s = -261 - -366. Let x(r) = 4*r + 128. Calculate the remainder when s is divided by x(-29).
9
Let j = 15 + -11. Suppose 5*n - 15 = -p, j*n + 0*n = -2*p + 12. Suppose -95 = -4*i + y, p = i + 5*y - 7 - 1. What is the remainder when i is divided by 6?
5
Let i(d) = -d + 16. Let w be i(12). Suppose 4*g = g - 5*m + 52, -3*g + w*m = -7. Calculate the remainder when 55 is divided by ((-87)/g)/((-2)/6).
26
Let z(a) = -11*a - 4. Let s be z(-4). Suppose -4*y = -8*y + s. What is the remainder when y is divided by 3?
1
Let i(g) = 2*g**2 + 3*g - 1. Let p = 13 + -9. Let y(w) = 4*w**2 - 5*w - 4. What is the remainder when i(p) is divided by y(-2)?
21
Suppose 235 = 5*g + 4*j, 2*g - g + 2*j = 41. What is the remainder when g is divided by 14?
9
Let v = -575 + 583. Calculate the remainder when 42 is divided by v.
2
Suppose 3*k + 3*o = 54, -3*o + o = -4. Calculate the remainder when (-78)/(-91) + 204/7 is divided by k.
14
Let i(c) = 7*c**3 - 3*c**2 - 5*c + 4. Let x be i(3). Suppose 0 = -7*d + 94 + x. What is the remainder when 243 is divided by d?
33
Let o(n) = -4*n + 4 - 26 + 2*n. Let q be o(-16). Suppose -q - 3 = -y. Calculate the remainder when 36 is divided by y.
10
Let l = -76 + 93. What is the remainder when 85/l - (-2 - 54) is divided by 22?
17
Let u(t) = 35 + 6*t - 62 + t. What is the remainder when 46 is divided by u(5)?
6
Suppose -3*j + 98 = 17. Let s(o) = -9*o + 10. Calculate the remainder when s(-6) is divided by j.
10
