k + 52 = 0, -33*n - 166 = -37*n - k. Calculate the remainder when 54 is divided by n.
12
Let i = -13 + 13. Suppose i = 2*d + 1 - 9. Suppose 8*o - 24 = d*o. What is the remainder when 14 is divided by o?
2
Let t = -3468 - -5268. Suppose 454*v = 463*v - t. What is the remainder when v is divided by 21?
11
Let y(z) = 2*z + 456. What is the remainder when y(-74) is divided by 52?
48
Suppose 33 = 2*h - 3*r, 0*r - 4*r + 48 = 5*h. Let s(p) = 29*p + 30. Calculate the remainder when s(8) is divided by h.
10
Suppose 2*k + k + x - 27 = 0, 0 = -3*x + 9. Suppose -k = -h - m, -5*m + 18 = 3. Suppose -h*a + 29 = -21. What is the remainder when 37 is divided by a?
7
Let j(m) = m**2 + 4*m - 50. Let n be j(6). Suppose 5*h - 213 = 2*x, 0 = -h - 9*x + n*x + 45. What is the remainder when 158 is divided by h?
35
Let k(j) = -j + 25. Suppose 37 + 293 = -10*o. Calculate the remainder when k(o) is divided by 20.
18
Suppose -10*u + 23 = 73. Let h be -1 + 5 + -1 + u. What is the remainder when (h - -5 - -32) + -1 is divided by 9?
7
Suppose k - 3*w - 219 = -39, 315 = 2*k + 3*w. What is the remainder when k is divided by (56/4)/(4/8)?
25
Calculate the remainder when (-2)/7*10*126/(-18) is divided by (-9)/(-15) + 1/10*34.
0
Let i(g) = -g**3 + 8*g**2 - 4*g - 6. Let t be i(6). Suppose -t = -10*m + 108. Suppose c - m = 9. Calculate the remainder when 118 is divided by c.
22
Suppose 3 = -2*r - 7, -r = -b + 29. Calculate the remainder when b is divided by (-13)/((-572)/(-80))*(-1067)/194.
4
Let v = 261 - 273. Suppose -3 = -y + 37. Calculate the remainder when (-174)/v*(9 + -1) is divided by y.
36
Let x(a) = 11*a**3 - 2*a + 1. Let t(y) = 2*y**3 + 106*y**2 + 921*y - 30. What is the remainder when x(1) is divided by t(-11)?
1
Suppose -2886 = -7*z - 19*z. Let y = -99 + z. What is the remainder when y is divided by 11?
1
Let g be (-44 + 2)/(3/(-18)). Suppose 8*f = 26*f - g. Calculate the remainder when 1*-25*(-2 - -1) is divided by f.
11
Let s = -645 + 461. Let r = 201 + s. What is the remainder when r is divided by 8?
1
Let w(s) = -s**3 + 21*s**2 + 4*s + 48. Let b be w(21). Suppose 492 + b = 13*o. What is the remainder when o is divided by 14?
6
Let f = -26 - -44. Let g be (0/f)/(-1 - -2). Suppose 4*x - 105 - 15 = g. What is the remainder when x is divided by 16?
14
Suppose 236 = -r + 5*r. Suppose -19*j - 12*j + 502 - 6 = 0. Calculate the remainder when r is divided by j.
11
Suppose -46*w + 317 + 143 = 0. Calculate the remainder when 142 is divided by w.
2
Let g(v) = 2*v**2 - 20*v + 965. Calculate the remainder when g(0) is divided by 27.
20
Suppose -66*h - 540 = -93*h. Let s(p) = p**2 - 8*p + 3. Calculate the remainder when h is divided by s(9).
8
Suppose 44*z - 1041 = 2655. Let w(m) = -2*m**3 + m**2 + 2. What is the remainder when z is divided by w(-2)?
18
Let u(g) be the second derivative of g**4/6 - 5*g**3/6 + 15*g**2/2 + 40*g. What is the remainder when 83 is divided by u(4)?
2
Suppose 2835*c = 2993*c - 100172. Calculate the remainder when 647 is divided by c.
13
Let w be (-1)/(6/45)*688/12. Let v = w + 720. What is the remainder when v is divided by 49?
45
Let l(h) = -2151*h - 8001. Calculate the remainder when l(-5) is divided by 26.
24
Calculate the remainder when 1752 is divided by 2824/2*((-615)/410 + (-7)/(-4)).
340
Let f = -1281 + 2498. What is the remainder when f is divided by 37?
33
Calculate the remainder when 1033 is divided by 1614/6 - ((-162)/(-270))/(2/(-30)).
199
Suppose -3*k - 2*m - 128 = -7*k, -2*k - 4*m + 64 = 0. Calculate the remainder when 459 is divided by k.
11
Let k = -138 - -142. What is the remainder when (0 - 2)/((-8)/580) - k is divided by 37?
30
Let l = -1442 + 1490. What is the remainder when 861 is divided by l?
45
Suppose 14*x - 9 = 33. Suppose 96 = 5*t + x*f, 1 = -t + f + 17. Suppose -3*y - 38 = -a - 6*y, a - 58 = 2*y. Calculate the remainder when a is divided by t.
14
Let x(z) = -7*z**2 + 5*z + 5. Let q(o) = -6*o**2 + 7*o + 5. Let k(a) = 5*q(a) - 6*x(a). Calculate the remainder when k(4) is divided by 30.
27
Suppose 4*x = -r + 85 + 8, x + 11*r - 77 = 0. Calculate the remainder when 2496 is divided by x.
10
Suppose -21*f + 8508 = 15*f - 2256. Calculate the remainder when f is divided by 50.
49
Let n = 8491 - 8464. Suppose -2*q = -39 - 51. Calculate the remainder when q is divided by n.
18
Suppose -b = 6, -5*j = -j - 4*b - 1304. What is the remainder when j is divided by 223?
97
Suppose 3*s + y - 233 = 0, 2*s - y + 7 = 159. Let n = -275 + 153. Let u = n + 149. What is the remainder when s is divided by u?
23
Suppose 4*f = -5*o + o + 4, 5*f + 7 = o. Let m = -3477 - -3494. Calculate the remainder when m is divided by (-14*1)/(-1*o).
3
Suppose 2*g - 4 = -0*g + c, 0 = 4*g + 5*c + 6. Suppose 49*x - 53*x - 12 = 0. Calculate the remainder when ((-8)/(-3) + x)/(2/(-6)) is divided by g.
0
Suppose 2149 = -11*q - 1602. Let d = -336 - q. What is the remainder when 113 is divided by d?
3
Let s = 978 + -608. Let u = s - 131. Calculate the remainder when u is divided by 82.
75
What is the remainder when 561 is divided by (14125/(-125))/(-2 - -1)?
109
Calculate the remainder when (-22 + (-1032)/(-48))*(1 - (230 + 1)) is divided by 53.
9
Let x(c) = -42*c + 6. Let a be x(-2). Suppose -55 = -s - 4*d, 6*d - a = -2*s + 3*d. Calculate the remainder when (0 + 3)*348/9 is divided by s.
38
Let b(l) = 8*l - 21. Let a be b(10). Suppose 4*n = -2*k + 246, 6*k - a = -n + 3*k. Suppose -g = -n + 51. What is the remainder when 43 is divided by g?
10
Let n(p) = 12*p + 48. Let x be n(-4). Suppose 5*l = x, 3*l + 226 = 3*j - 116. What is the remainder when j is divided by 29?
27
Suppose -296*z + 300*z = 5*o + 1668, 5*z + 5*o - 2175 = 0. What is the remainder when z is divided by 79?
32
Suppose 10 = -2*y - 20*q + 24*q, 5*y - 3*q = -46. Let p = 69 + y. What is the remainder when 229 is divided by p?
55
Let l be 16/64 - 30/(-8). Suppose l*t + 40 = 6*t. What is the remainder when 67 is divided by t?
7
Let l be (-1 - -7)*(-51)/9. Let y = -213 + 288. Let k = y + l. What is the remainder when k is divided by 14?
13
Let i = 124 - 32. Suppose -h - 881 = -w, 151 = -h + 2*w - 731. Calculate the remainder when i is divided by (-5 - h/25) + (-12)/(-15).
30
Let d(t) = t**3 - 13*t**2 + 4*t - 2. Let x be d(6). Let q = -205 - x. Calculate the remainder when 40 is divided by q.
15
Suppose -k + 2*k + 3 = 0. Let i be k/((-21)/(-6)*(-6)/14). Suppose -i*h + u = -u - 52, 0 = 5*u - 10. What is the remainder when h is divided by 12?
4
Suppose -6*s + 3*f = -2*s - 2, -6 = -2*s - f. Suppose -4*w + 3*o + 2 = 0, s*w + 0*o + 4 = -o. Calculate the remainder when 15 is divided by w + 9/((-5)/(-5)).
7
Suppose 0 = 4*z - 72 - 176. Let y = 58 + -28. What is the remainder when (8 - 280/y)*-183 is divided by z?
58
Let l(q) = 4*q + 12. Let b = 58 - 84. Let w = b + 103. What is the remainder when w is divided by l(7)?
37
Suppose 0*b = 31*b - 434. Suppose -b = 3*v - 29. Calculate the remainder when 74 is divided by v.
4
Calculate the remainder when 6063 is divided by (-9 - -8 - -24) + 2 + -2.
14
Suppose g + 3*i - 24 = 0, g - 2*i + 3*i - 22 = 0. Let q = 1173 + -1175. Let k = q + g. What is the remainder when 92 is divided by k?
16
Suppose 2*v + 3*v - p = 0, 0 = v + 4*p. Let d(m) = 4*m + 15. Let q = -33 + 60. Calculate the remainder when q is divided by d(v).
12
Let t(g) = g + 31. Let k be t(-27). Suppose -k*n = -r + 10, -n = -r - 6*n + 1. Calculate the remainder when 46 is divided by r.
4
Suppose 0 = 2*d + 6 - 36. Suppose -43*n - 22 = -54*n. Suppose -5*q = -2*c - 24, -7*q - 4*c + 42 = -n*q. What is the remainder when d is divided by q?
3
Let x(p) = p**2 - p - 25. Let d = 96 - 89. Suppose -3*k + 3 = -q, 10*k + 6 = d*k. Calculate the remainder when x(q) is divided by 6.
5
Suppose 4*t + 35 - 143 = 0. Calculate the remainder when t is divided by -1 + 54/66 - (-890)/55.
11
Let d(w) = -w**3 + 18*w**2 - 31*w - 16. Suppose -3*y = -6*y + 48. Let l be d(y). Suppose -i + 16 = -l*i. Calculate the remainder when 44 is divided by i.
12
Suppose 2*c + 112 = q, 50*c - 46*c + 12 = 0. Calculate the remainder when 220 is divided by q.
8
Let k(f) = f**3 - 2*f**2 - f. Let h(i) = -2*i**2 + 41*i + 4292. What is the remainder when h(-37) is divided by k(4)?
9
Suppose 439 - 143 = -4*j. Let r = j - -34. Let w = 43 + r. What is the remainder when 