1).
15
Suppose -5*i - 15 = -10*i. Let h(g) = 10*g**2 + g + 1. What is the remainder when h(i) is divided by 24?
22
Suppose -h + 17 = -3*g, 4*h - 2*g = -5*g + 8. Suppose 4*t = 3*t + h. Let v(l) = -l**3 - 3*l**2 - 2*l + 1. Calculate the remainder when v(-3) is divided by t.
2
Let z = -312 - -363. What is the remainder when z is divided by 20?
11
Let z be (-6)/(-45) + (-112)/(-60). Suppose 52 = z*v - 0. Let k(w) = -3*w + 84. Calculate the remainder when v is divided by k(25).
8
Calculate the remainder when ((1 + -2)/(-1))/((-32)/(-1312)) is divided by (7 + -5)*9/2.
5
Let p(b) = b**3 + 6*b**2 - 6*b + 7. Let z be p(-7). Let n(l) = z*l - l**2 - 9*l + 3*l - 6 - 10*l. What is the remainder when n(-14) is divided by 12?
10
Let q = 494 + -698. Calculate the remainder when 218 is divided by q/(-17) - 5/(-1).
14
Calculate the remainder when ((-718)/4)/(5/(-10)) is divided by 24.
23
Calculate the remainder when ((-1)/1)/((-13)/2613) is divided by 17.
14
Let x be (1*-1)/(6/(-12)). Let p be (-3)/(-2 - -1 - x). Calculate the remainder when 22 is divided by (-3)/(p - (-5)/(-4)).
10
Let h(j) = 2*j**2 - 15*j - 40. What is the remainder when 19 is divided by h(10)?
9
Suppose -21 = -3*t - 3*m, -3*t = -5*m + 3 - 8. Calculate the remainder when 153 is divided by t.
3
Suppose y + y - 10 = 0. Let x = -17 - -11. What is the remainder when (364/42)/((-4)/x) is divided by y?
3
Let p = -70 + 120. What is the remainder when 148 is divided by p?
48
Let l be (6/15)/(2/40). Suppose 0 = -2*q + 38 + l. Suppose 113*o + 6596 = 210*o. Calculate the remainder when o is divided by q.
22
Suppose -42 = -c - d, -23 = -c - 4*d + 31. Let l = -814 + 965. Calculate the remainder when l is divided by c.
37
Let d(g) = 5*g - 24. Suppose n - 15 = -10. Calculate the remainder when n is divided by d(5).
0
Calculate the remainder when 9*(-19)/12*-2*2 is divided by 10.
7
Let d(h) = 11*h + 309. Suppose 0 = -2*s - s + 3. Calculate the remainder when s is divided by d(-28).
0
Suppose -21 = -11*d + 8*d. What is the remainder when (-1 + d)/((-4)/(-26)) is divided by 14?
11
Suppose b = t - 32, -5*t - 4*b - 21 = -145. Let h = 9 + -1. What is the remainder when t is divided by h?
4
Let b = 243 + -62. Let a = b - 120. Calculate the remainder when 240 is divided by a.
57
Suppose 0 = t + 3*p, 75 - 5 = 3*t - 5*p. Suppose 5*f = -3*v - 99, 0 = 5*v - 0*f + 4*f + 152. What is the remainder when (v/112)/(1/(-116)) is divided by t?
14
Suppose -7*m + 35 = 91. What is the remainder when ((-285)/20)/(3/m) is divided by 40/(-14)*77/(-22)?
8
Let y = 14 + -5. Let o = y + -3. What is the remainder when 9 is divided by o?
3
Let n be (6/4)/(15/50). Suppose -n*p + 28 + 2 = 0. Let g = p + 13. Calculate the remainder when 55 is divided by g.
17
Let y = -48 - -28. Let x be 0 + (y/(-2))/2. Suppose -x*p + 12 = 4*r, -r - 3*p + 3 - 7 = 0. Calculate the remainder when 29 is divided by r.
5
Suppose 4*f - 753 = 167. Suppose 247 = 3*b - d, 3*b = 2*d + 21 + f. Suppose 118 = 21*o - 323. What is the remainder when b is divided by o?
18
Let x(c) = 3*c - 7. Suppose n = -3*r + 6, 0 = -6*n + n - r + 58. Calculate the remainder when n is divided by x(4).
2
Let k = 154 + -59. Let v = k - 64. Suppose -d + 14 = 2*q + q, -2*d = -q - 14. Calculate the remainder when v is divided by d.
7
Let h(s) = -6*s - 6. Let w be h(-2). Suppose 0 = -w*y + 57 + 27. Calculate the remainder when y is divided by 4.
2
Suppose -4*f + 5*o - 14 + 81 = 0, 2*f - 32 = 2*o. Let s(h) = 8*h**2 - h + 1. Calculate the remainder when f is divided by s(1).
5
Let g be 2*-14*(-2)/(-4). Let p = 16 - g. Suppose p = s - x + 2*x, 0 = -5*x - 10. What is the remainder when s is divided by 17?
15
Let o = 27 + -18. Suppose 2*r + 5*g + 31 = -o, -4*g - 56 = 4*r. Calculate the remainder when 30 is divided by (-4)/(-10) - 166/r.
13
Suppose 3*c + 2*c - 45 = 3*h, 0 = 2*h. Suppose 0 = o - c - 7. Calculate the remainder when 63 is divided by o.
15
What is the remainder when 36 is divided by (2 - 3 - -4)*1?
0
Let q(z) = -7*z - 46. Let t be q(-8). Suppose l + 4*y + 49 = 4*l, 2*y = -l + 33. Let o = l - t. What is the remainder when 50 is divided by o?
11
Let v = -81 - -86. Suppose v*o + 2*n - 94 = 0, 3*o - 2*o + 3*n = 24. Let t = -57 - -108. What is the remainder when t is divided by o?
15
Let o = 237 + -234. Calculate the remainder when 17 is divided by o.
2
Let m be 2*(-5)/(10/(-3)). Suppose z + 5 = 2*j, 3*j - 6 = m*z - z. Calculate the remainder when 24 is divided by j.
0
Suppose 116*j + 4200 = 141*j. Calculate the remainder when j is divided by 17.
15
Let f(x) = -11*x - 654. What is the remainder when 315 is divided by f(-60)?
3
Suppose 0 = 5*b - 354 + 224. Let z(i) = -3*i**2. Let m be z(-1). Let w = m + 17. Calculate the remainder when b is divided by w.
12
Let a = 80 + 12. What is the remainder when a is divided by 6?
2
What is the remainder when (1 + (-2)/3)/((-23)/(-759)) is divided by 9?
2
Suppose -3*k - 53 = -5*q, 0 = -q - 0*k + 2*k + 12. Suppose -c = c + q. Let d(r) = -2*r - 6. Calculate the remainder when d(c) is divided by 3.
1
Let t be (64/12)/(2/3). Let o(u) = u**2 - 25. Let y be o(5). Suppose t*n + 208 = 3*s + 3*n, y = 4*s + n - 239. What is the remainder when s is divided by 13?
9
Suppose 3*i + q = 184, 0 = 2*i - 3*q + 21 - 151. Calculate the remainder when 241 is divided by i.
55
Let j(h) = -h**3 - h**2 + 3*h + 1. Let s(g) = 24*g - 2. Let u be s(2). Let k = u + -33. Calculate the remainder when j(-4) is divided by k.
11
Suppose 3*x + 23 = 23. Suppose -4*k + x*k = -452. What is the remainder when k is divided by 19?
18
Let i(t) = t + 4. Let m(l) = l**3 - 4*l**2 - 4*l - 7. Let h be m(5). What is the remainder when (-12)/(-5) + 4/(-10) is divided by i(h)?
0
Suppose -4*a - 28 = -2*y, 7 = 2*y - a - 15. Calculate the remainder when 289 is divided by y.
9
Let x = -2 - -7. Suppose -4*p = -x*p + 21. What is the remainder when p is divided by 7/(-21)*-3 + 11?
9
Suppose -b - 2*x = -1505, 4*b - x - 5386 = 661. What is the remainder when b is divided by 89?
87
Let h be (2/(-4))/((-16)/96). What is the remainder when 3 + 1 + (h - -62) is divided by 10?
9
Suppose 42*w = 239 + 55. Calculate the remainder when 1286 is divided by w.
5
Let x = -3320 - -3454. Calculate the remainder when 313 is divided by x.
45
Let h(v) = 22*v - 6. Let i be h(7). Suppose -6*a + 50 = -i. Calculate the remainder when 197 is divided by a.
32
Suppose -2*o = -3*h + 6*h + 149, -h - 213 = 3*o. Let k be (24/30)/((-4)/o). Suppose 20 = -10*p + k*p. Calculate the remainder when 12 is divided by p.
2
What is the remainder when (-108)/(-324)*3*1*59 is divided by 34?
25
Let h(w) = w**2 - 11*w + 36. What is the remainder when 249 is divided by h(9)?
15
Let m(b) = b**3 - b**2 + 15*b - 27. What is the remainder when 1223 is divided by m(3)?
35
Suppose -1344 = -42*t + 10*t. Calculate the remainder when t is divided by 27.
15
Let d = 3 - 25. Let a = d - -28. Let f = -18 - -34. What is the remainder when f is divided by a?
4
Suppose 0 = -11*z + 315 + 15. Let x = -24 + z. Calculate the remainder when 12 is divided by x.
0
Suppose 5*y - j - j - 135 = 0, 4*y + 2*j - 108 = 0. Suppose 117 = 2*c + 3*k - 30, 5*c = -3*k + 345. What is the remainder when c is divided by y?
12
Suppose 8 - 22 = -2*z. What is the remainder when z is divided by 3/((-1)/6 - 836/(-912))?
3
Suppose 3*c - 413 = -89. Calculate the remainder when c is divided by 22.
20
Let s = -447 + 478. Suppose -2*m - 2*u = -24, 2*m - 5*m - 2*u = -41. Calculate the remainder when s is divided by m.
14
Let g = -6 + 14. Let q(x) = -x**3 + 9*x**2 - 5*x + 4. Let i(p) = p**3 + 13*p**2 - 3*p - 24. What is the remainder when q(g) is divided by i(-13)?
13
Let u(o) = o**3 + 6*o**2 - 16*o - 25. Calculate the remainder when u(-6) is divided by 25.
21
Suppose -3*k + 36 - 3 = 0. Let a = k + -8. What is the remainder when 4 is divided by a?
1
Suppose 2676 = -52*v + 64*v. What is the remainder when v is divided by 13?
2
Let f = 2 + -2. Suppose -2*m + 60 = -4*c, 26 = -f*m + m - c. What is the remainder when m is divided by (0 - (0 - 3)) + 9?
10
What is the remainder when (-104)/(-5) - (-2)/10 is divided by 17?
4
Suppose 124 + 92 = 4*d. Suppose 4*j + s + 20 = 77, 3*j + 3*s = d. What is the remainder when 49*1*(0 - 8)/(-8) is divided by j?
10
Calculate the remainder when (64 + -2)/(8 + -6) is divided 