by 12?
11
Let i = -187 + 214. What is the remainder when 33 is divided by i?
6
Suppose -x + 63 + 4 = 0. Suppose 7*j - 71 = 13. Calculate the remainder when x is divided by j.
7
Let r(o) = o**2 - 2*o + 1. Let s = -1081 + 1114. What is the remainder when s is divided by r(4)?
6
Suppose -2*n + 5*s + 122 = -0*n, 2*n = -4*s + 140. Let m = 79 - n. Suppose 4*g + g = 180. Calculate the remainder when g is divided by m.
10
Let h(t) = -33*t**3 - 3*t**2 + 14*t. Let x(l) = -11*l**3 - l**2 + 5*l. Let k(q) = -3*h(q) + 8*x(q). What is the remainder when k(2) is divided by 45?
43
Suppose -3*v = -3*h - 129, -5*v + 215 = -3*h + 7*h. Let u = v - 11. What is the remainder when u is divided by 9?
5
Suppose -2*g = -3*v + 17, -5*g - 9 = -4. Suppose 180 = -j + v*j. Suppose 31 + 35 = 4*c + 2*z, 31 = 2*c - z. What is the remainder when j is divided by c?
13
Let r(z) = z**2 - 12*z + 43. What is the remainder when r(24) is divided by 85?
76
Let v = 2503 - 2475. Let q(s) = -s**2 + 5*s + 2. Let w be q(6). What is the remainder when ((-333)/(-6))/((-2)/w) is divided by v?
27
Suppose 6 = t + 4*c, -54 = -5*t + 3*c + 22. Let j = 29 + -37. What is the remainder when t is divided by ((-30)/10)/(6/j)?
2
Suppose 4*f = -3*i - 43, 2*f + 4 = -4. Calculate the remainder when 24 is divided by ((-2)/(-6))/((-1)/i) - -6.
6
Suppose 0 = -3*d - f - 8 + 50, 0 = 2*d + 3*f - 35. Let j = d + -27. Calculate the remainder when (-6)/4*j/3 is divided by 3.
1
Suppose -n = 5*d - 619, -4*d - 3*n = -n - 494. Suppose 3*g - 57 = 3*x - 0, -3*g - 5*x = -17. What is the remainder when d is divided by g?
12
Suppose -n + 0*n = -11. Suppose 0 = -s + 3*b + 53 - n, 0 = -3*s + 4*b + 111. Calculate the remainder when 131 is divided by s.
32
Let b(s) = 3*s**2 + 5*s - 15. Calculate the remainder when b(-7) is divided by 25.
22
Suppose -5*m + 0*m = -120. Let g be (75/6)/(2/m). Suppose i - g = -5*i. What is the remainder when i is divided by 9?
7
Let h = 42 + 8. What is the remainder when 198 is divided by h?
48
Let m(i) = -i + 6. Let j be m(3). Suppose -j*q + 6*q = 0. Suppose q = g + g - 52. Calculate the remainder when g is divided by 15.
11
What is the remainder when 16 + -10 + 3 + 128 is divided by 57?
23
Suppose 97*t - 88*t - 1386 = 0. Calculate the remainder when t is divided by 39.
37
What is the remainder when 102 is divided by (-262)/917 - -16*44/14?
2
Suppose 0 = d - 43*f + 38*f + 17, 7 = d + f. What is the remainder when 75 is divided by d?
0
Calculate the remainder when (144/30)/((-5)/(100/(-6))) is divided by (3/9)/((-2)/(-30)).
1
Let k(i) = -37*i**2 + i + 2. Let t be k(-1). What is the remainder when ((-66)/4)/(18/t) is divided by 9?
6
Suppose 175 = 20*i + 15. What is the remainder when i is divided by 6?
2
Suppose -q - 86 = 73. What is the remainder when q/(-9) + 2/6 is divided by 17*(-2 - -3) + 66/(-11)?
7
Suppose 5*p - 155 = -4*i, 4*p - 4*i - 165 = i. Let n(m) = m**3 - 10*m**2 + 21*m - 28. What is the remainder when p is divided by n(8)?
11
Let j(p) = -p + 46. What is the remainder when 173 is divided by j(-11)?
2
Let h be (3 + -2)*3 + -3. Suppose h*y - y = 16. Calculate the remainder when 5 is divided by (y/(-6))/((-8)/(-12)).
1
Suppose 12*l - 10*l - 432 = 0. Let y(g) = -g - 2. Let c be y(-6). Suppose c*p - 8*p + l = 0. What is the remainder when p is divided by 14?
12
Let y(o) = o**3 - 12*o**2 - 8*o + 31. Let p be (-195)/45*-1*3. Let l be y(p). Suppose -3*i = -l - 93. What is the remainder when i is divided by 11?
8
Let u(v) = -v**2 - 2*v + 6. Let f be u(0). Let p(k) = -k**3 + 8*k**2 - 11*k + 7. What is the remainder when p(f) is divided by 7?
6
Let v = 82 + 204. What is the remainder when v is divided by 41?
40
Let r = -96 - -105. Let n = 2 + -4. Let j(y) = -7*y. Calculate the remainder when j(n) is divided by r.
5
Let v(k) = -k**3 - 3*k**2 + 12*k + 10. Let j be v(-5). Suppose 0 = -3*c - j + 66. Calculate the remainder when 109 is divided by c.
21
Suppose 4*q + 88 = 3*h, 13*h - 16*h + 113 = q. Calculate the remainder when 500 is divided by h.
32
Suppose -6*x + 26 = -556. Suppose -5*o + 63 + x = 0. Calculate the remainder when 125 is divided by o.
29
Suppose 198 = 33*z - 30*z + 5*k, -229 = -4*z + 5*k. Let o = -1 + 9. What is the remainder when z is divided by o?
5
Let g = -516 + 523. What is the remainder when 86 is divided by g?
2
Suppose 5*p = 20 + 100. Suppose -2*z - p = -0*z. What is the remainder when z/4 + 0 + 36 is divided by 9?
6
Let y(c) = -11*c**2 - 4*c - 4. Let l be y(-3). Let g = 168 + l. Suppose 273 + 143 = 16*n. Calculate the remainder when g is divided by n.
25
Suppose -2*d - 164 = 80. Let v = d + 253. Calculate the remainder when v is divided by -1 - 2 - (-7 + (-6 - 23)).
32
Let z(l) = -l**3 - 5*l**2 - 3*l + 1. Suppose 1 - 17 = 3*b + n, -3*b - 3*n - 18 = 0. Calculate the remainder when 46 is divided by z(b).
14
Let x(t) = t**3 + 2*t**2 - 10*t - 9. Let s be x(-6). Let l = s + 171. What is the remainder when l is divided by 20?
18
Suppose -19*r + 203 = -785. Calculate the remainder when 1194 is divided by r.
50
Let m(f) = f**3 - 17*f**2 + 33*f + 18. What is the remainder when m(15) is divided by 35?
28
Suppose -19*f + 23*f = 208. Calculate the remainder when f is divided by 7*6/10*15/9.
3
Let r(k) = k**2 + k - 7. Suppose 4*g + 0*g = 8. What is the remainder when 7/((-7)/g) + 69 is divided by r(5)?
21
Suppose 24*v - 553 - 1967 = 0. Calculate the remainder when 412 is divided by v.
97
Let z = 181 - 176. Suppose 4*o - 2*k + 0*k = 102, 2*o - 4*k = 36. What is the remainder when o is divided by z?
3
Let v = -1 + 1. Let p be 6/1*(-8)/(-48). Suppose v = j - 2 - p. What is the remainder when 7 is divided by j?
1
Let w(a) = -a**3 + a**2 - 5*a - 5. What is the remainder when w(-4) is divided by 48?
47
Let a(d) = 3*d**3 - 6*d**2 - 2*d + 37. What is the remainder when a(5) is divided by 89?
74
Suppose -p - d + 2 = 0, -3*p = -5*d - 28 - 18. Calculate the remainder when 44*2 + (p - 5 - 5) is divided by 22.
19
Suppose 2*v + 18 + 36 = 0. Let l = v + 26. What is the remainder when 26 is divided by 15 + l - (-1 - -5)?
6
Let w(n) = n**2 - 2*n + 4. Let l = -52 + 57. Suppose 3*o - 35 = -l. What is the remainder when w(-3) is divided by o?
9
Let m = -1033 + 1056. What is the remainder when 2298 is divided by m?
21
Let k = 116 + -185. Let c = k - -128. Calculate the remainder when c is divided by 20.
19
Calculate the remainder when 102 is divided by 3 + 616/34 - 10/85.
18
Suppose -5*d = -3*f - 3985, -d + 0*f + 825 = 5*f. Suppose 0 = 3*l + l - d. What is the remainder when 6 is divided by l/72 + (-4)/(-18)?
0
Suppose -3*z + 70 = 2*z. Let a = -209 + 291. Calculate the remainder when a is divided by z.
12
Let q = 3 - -12. Let n = -37 - -39. Suppose h - 94 = -2*f - n*h, -f + 38 = -3*h. Calculate the remainder when f is divided by q.
14
Suppose 30 - 4 = 2*b - 3*k, -2*b + 26 = k. Let w(x) = -75*x**3 + x**2 + 3*x + 1. What is the remainder when w(-1) is divided by b?
9
Suppose 51 = 3*n - 56*t + 53*t, 0 = -4*n - 2*t + 80. Calculate the remainder when 56 is divided by n.
18
Suppose -20 + 5 = 5*v. Let b(w) = -2*w**2 + w - 1. Let q(l) = 3*l**2. Let p(j) = -4*b(j) - 3*q(j). Calculate the remainder when 25 is divided by p(v).
4
Suppose -7*r + 4*m = -12*r + 134, 3*r - 74 = -4*m. What is the remainder when 354 is divided by r?
24
Let g = 9 + -4. Suppose -5*p + g*b = -0*p - 80, 0 = -2*p + 3*b + 35. Let f(w) = -w**3 + 10*w**2 + w + 13. Calculate the remainder when f(10) is divided by p.
10
Suppose -4*m = -3*i + 4*i - 16, 4*i + 2*m + 6 = 0. Calculate the remainder when (2/i)/(0 - (-2)/(-168)) is divided by 15.
12
Suppose n - 72 = -2*n. Suppose -13*x - 171 = 6*x. Let j = n + x. Calculate the remainder when 41 is divided by j.
11
Suppose 8*x + 12 = 36. Suppose -x*h + 11*h = 576. What is the remainder when h is divided by 15?
12
Suppose -3*g - 6*x + 3*x = -42, -3*x + 4 = g. What is the remainder when 262 is divided by g?
15
Suppose -2*l + 161 = 5*u - 0*l, u = l + 28. Let h(r) = -68*r**3 + r**2. Let s be h(-1). Let j = s + 22. What is the remainder when j is divided by u?
29
Let u be 45/(-3)*(5 - 8). Let c = u + 6. Suppose 0 = 3*x + 12 - c. What is the remainder when 23 is divided by x?
10
Let m(a) = a**2 - a + 52. Let k(z) = -58*z + 2. Let f be k(-1). Suppose 0*v + 18 = b + 3*v, -2*b + 2*v = -f. What is the remainder when m