
45
Suppose 3*r + 4*x = 231 - 13, r - 4*x - 78 = 0. Calculate the remainder when r is divided by (-11 - -2)*-1 + -7 - -8.
4
Let i(k) = 1 + 8 + k + 6. Let l be i(-7). What is the remainder when 9 is divided by (l/16)/(1/12)?
3
Let d(o) = 17*o**2 + o - 2. Let q be d(-2). Let a = q + -6. Suppose 0 = -j + 3*m - 2*m + 35, 2*j = -m + a. Calculate the remainder when j is divided by 16.
15
Let l(i) = i**3 + 8*i**2 - 5*i - 6. Suppose r + 403 = 4*y, -4*r + 232 = 3*y - 56. What is the remainder when y is divided by l(-8)?
32
Let c(v) = 6*v**2 + 15*v + 5. Suppose -2104 - 3746 = -30*z. Calculate the remainder when z is divided by c(-3).
13
Suppose -46 = -3*z - 8*j + 4*j, -4*z = j - 70. Let x = -1830 - -1818. Calculate the remainder when (45 + x)*(-3)/9*-3 is divided by z.
15
Let f = 148 - 34. Let d = 34684 - 34667. What is the remainder when f is divided by d?
12
Let z = -62 - -93. Suppose g - 19 = 3*f, 5*g + 5*f = z + 64. Calculate the remainder when 128 is divided by g.
14
Let q = -1603 - -2117. What is the remainder when 1029 is divided by q?
1
Suppose -2*j = -4*j + 12*j - 1000. What is the remainder when 751 is divided by j?
51
Suppose -79*j - 8 = -83*j, -3*z + j + 4 = 0. Let x(m) = -m**3 - 4*m**2 - 7. What is the remainder when x(-7) is divided by z?
0
Suppose 859*n = -5*o + 856*n + 1151, -n = -2*o + 467. Calculate the remainder when 3943 is divided by o.
231
Let g = 4235 + -6110. Calculate the remainder when 297 is divided by 2*(g/(-10))/5.
72
Let t(v) = -v**3 + 48*v**2 - 130*v - 195. What is the remainder when 261 is divided by t(45)?
21
Suppose 0 = -12*x + 10 + 38. Suppose 3*m - x*s - 783 = 0, -2*s = 4*m - 5*s - 1044. What is the remainder when m is divided by 44?
41
Let a be ((-3314)/(-14) - 2) + (-18)/(-63). Let p = -204 + a. Calculate the remainder when 91 is divided by p.
29
Let t(o) = 9*o**2 + 4*o + 2. Suppose 11 + 5 = -5*z + 2*d, -7 = -z - 3*d. What is the remainder when t(z) is divided by 3?
0
Suppose 0*l + 10153 = 4*l + 6777. What is the remainder when l is divided by 214?
202
Suppose 2*y - 684 = -2*y - k, k + 855 = 5*y. What is the remainder when y is divided by (6068/(-111) + 58)*54/4?
36
Suppose 0 = 3*k + 19*p - 23*p - 335, 0 = -3*k - p + 340. What is the remainder when k is divided by (-3 - 2)*(-177)/15?
54
Let d(i) = i**3 + 42*i**2 + 42*i + 221. What is the remainder when 366 is divided by d(-41)?
6
Calculate the remainder when 1487 is divided by (-2777)/(-15) - (-44)/(-330).
7
Suppose 0 = -15*i + 14*i - 5*r + 393, 2*i - 751 = -3*r. Calculate the remainder when i is divided by 81.
44
Let k(u) = 2*u**2 + 2*u + 6. Let x be k(3). Let s = x - 22. Calculate the remainder when (-232)/12*3/(-2) is divided by s.
5
Let b(y) be the third derivative of -y**6/120 - y**5/60 - y**4/24 - 12*y**2. Calculate the remainder when ((-495)/(-180))/((-1)/(8/(-2))) is divided by b(-2).
5
Let l(t) = -t**3 - 9*t**2 - 16*t - 14. Let g be l(-7). Suppose -3*u = 12, 4*u = -3*b - 14 - 35. Let p = g - b. Calculate the remainder when p is divided by 6.
5
Suppose 3*f + 34 + 1042 = 4*m, -3*m - 5*f + 778 = 0. What is the remainder when 283 is divided by m?
17
Suppose -3*t - 9 = -348. Suppose 5*v - 4*g - 162 = 0, -5*v + 52 = -5*g - t. What is the remainder when 177 is divided by v?
27
Let c be 1 - 0 - 5/(-15)*3. Suppose 0*j - 2 = -c*j. Let w = j + 13. Calculate the remainder when 38 is divided by w.
10
Let c be (6/9)/(-2 - (-44)/21). Suppose 3*j - 15 = -2*y, 5*j + 2*y - c*y = 0. What is the remainder when 54 is divided by j?
0
What is the remainder when (-850)/(-1)*(-5 + 1 + 170/25) is divided by 13?
1
Suppose 54 = -2*h + 5*h. What is the remainder when h is divided by -5 - 2/4*-18?
2
Suppose 0 = -11*k + 326 + 180. Suppose -968 = 24*y - k*y. What is the remainder when 482 is divided by y?
42
Let m(l) = 3*l - 51. Let b be m(21). Let g(n) = -n**3 + 12*n**2 + 11*n + 9. Calculate the remainder when g(b) is divided by 12.
9
Suppose 0 = 27*f - 63435 - 34089. Calculate the remainder when f is divided by 721.
7
Let v(n) = -n**3 - 12*n**2 - 11*n - 1. Let h be 1*(-11 + 0)*(6 + -5). Let k be v(h). Let y = 9 + k. What is the remainder when 22 is divided by y?
6
Let f(u) = -3 + 0 - u**2 + 10*u - 1. Let m(a) = 4*a + 21. Let h be m(-3). Calculate the remainder when 28 is divided by f(h).
3
Let n be ((-112)/(-6) + 8/6)*11. Let r = n - 214. Calculate the remainder when 6 is divided by r.
0
Let d(s) = -3*s + 6. Let a be d(11). Let j = 29 + a. Suppose -j*g + 45 - 15 = 0. Calculate the remainder when 103 is divided by g.
13
Let d = -5 - -10. Suppose 5*x = d - 0. Suppose -335*v + 345*v - 80 = 0. What is the remainder when v is divided by x?
0
Let t(r) = -34*r - 1013. Let b = -501 + 741. Suppose b = -3*f + 8*f. What is the remainder when f is divided by t(-30)?
6
Let n(t) = 70*t + 957. What is the remainder when 23967 is divided by n(-13)?
44
Suppose -1657 - 6829 = -2*l + s, -l = s - 4240. Let p be l/49 - (-3)/7. Suppose p + 103 = 5*n. What is the remainder when 147 is divided by n?
33
Let x = -96 - -232. What is the remainder when 813 is divided by x?
133
Suppose -102*h + 75 = -101*h - 5*d, 4*d + 564 = 5*h. Calculate the remainder when 488 is divided by h.
8
Suppose 3*t - 2*l - 221 = -165, -2*t = -4*l - 40. Calculate the remainder when 953 is divided by t.
17
Suppose 4*p = -3*f + 36, -3*f + 79 = f - 5*p. Suppose -g + f = 5*i - 39, 0 = i - 2. Suppose 4*o - 387 - 325 = 0. What is the remainder when o is divided by g?
43
Let y(z) = -z**2 - 7*z + 66. Let a be y(7). Calculate the remainder when a/6*210/(-40) is divided by 10.
8
Let k be 8/3 - 20/30. What is the remainder when 195 is divided by 2/k - 7/21*-15?
3
Suppose -27 - 5 = -4*i. Suppose 6*c - 7*c = -10. Suppose -5*a - f = -67, -2*a + 7*f = c*f - 19. What is the remainder when a is divided by i?
6
Let b(s) = -3*s**2 + 40*s + 28. Let h be b(14). Suppose h = 259*a - 274*a + 225. What is the remainder when 84 is divided by a?
9
Let p(x) = 5*x**2 - 5 - 2*x**2 - 10*x + 5*x**2 - 3*x**2. Let w be p(5). Suppose -w = 12*u - 17*u. What is the remainder when 83 is divided by u?
13
Suppose -3*p = 3*p - 72. Let i be 12/(-6 + p) - (-1 + -1). Suppose 4*h - 6*n - 83 = -3*n, -i*n + 48 = 4*h. Calculate the remainder when 49 is divided by h.
15
Let p = 393 - 427. Suppose m + 3*g + 10 = 0, 0*g - 27 = 2*m - g. Let b = m - p. What is the remainder when 81 is divided by b?
18
Calculate the remainder when (-6)/4*(351697/(-129) - -15) is divided by 4.
3
Suppose 0 = 31*m + 126*m - 10140 - 65. Calculate the remainder when 83 is divided by m.
18
Suppose -2*v - 3*k = 3*v - 108, 0 = -2*v + 3*k + 39. Calculate the remainder when v is divided by (2 - 7)/((-35)/56).
5
Let s be (-49)/(-5) + 1/5. Suppose -89 = -3*y + 2*t, s*t - 11*t + 86 = 3*y. What is the remainder when y is divided by 24?
5
Suppose 246*w = 93*w + 318852. What is the remainder when w is divided by 190?
184
Suppose -48*k + 692 + 376 = 108. Calculate the remainder when 1194/4 - (-1)/(-2) is divided by k.
18
Suppose -7*p + 3*p = -236. Suppose 37*i + 146 - 590 = 0. Calculate the remainder when p is divided by i.
11
Suppose -7 + 31 = 4*c. Calculate the remainder when 1/3 + 94/c is divided by 6.
4
Let w(r) = 11*r**2 + r + 543. What is the remainder when w(0) is divided by 13?
10
Let n be (-12)/(-22) + (-19488)/154. Let z = 181 + n. Calculate the remainder when z is divided by 14.
13
Let f be (24/(-10))/(44/(-220)). Let d = f + -5. What is the remainder when 17 is divided by d?
3
Suppose -12*v = -3382 - 278. What is the remainder when 926 is divided by v?
11
Let v = 12479 + -12326. Calculate the remainder when 767 is divided by v.
2
Let t = -301 - -546. What is the remainder when 173 is divided by (1540/t)/(4/14)?
19
Let i(s) = 32*s - 59*s - 4*s**3 - 1 + 3*s + 18*s**2 + 2*s**3. Let q = 4 + 3. What is the remainder when i(q) is divided by 7?
6
Suppose 17 + 27 = 2*d. Suppose -20 + 141 = 2*u + h, 3*h + 404 = 7*u. Calculate the remainder when u is divided by d.
15
Let y(i) = 4*i**2 - 16*i - 420. What is the remainder when 2514 is divided by y(14)?
134
Let j be ((-22)/143 - (-329)/26)*50. Suppose 5*l - 468 = -3*d + 2*l, 0 = 4*d + 3*l - j. Calculate the remainder when d is divided by 55.
47
Let t = -1 - -76. Suppose -5 - t = 5*s. Let b = 42 + s. What is the remainder when 76 is divided by b?
24
Let j(q) = -2*q**2 - 5