uppose 4*q - 5*q = -4. Suppose 3*i = -x + 14, q*i - i - 26 = 2*x. What is the remainder when 106 is divided by i?
4
Let r = 3879 + -3750. What is the remainder when 1407 is divided by r?
117
Let q(y) = -4201 + 4202 + y**2 + 7*y - 24*y. Calculate the remainder when q(21) is divided by 31.
23
Suppose 10*d = 11*d - 6. Let q(j) = -j**2 + 9*j - 2. Let l = 17 + -11. What is the remainder when q(l) is divided by d?
4
Suppose 3*n + 3*k = -0*k, -2*k - 18 = -4*n. Suppose -l = n*s - s + 42, -3*s = -l - 22. Let o = l + 37. Calculate the remainder when 6 is divided by o.
0
Let l(w) = 278*w**3 + 5*w - 4. Let j be l(1). Let g = j - 421. Let v = 153 + g. Calculate the remainder when 43 is divided by v.
10
Let y = -507 - -507. Suppose y = -0*v + 23*v - 230. What is the remainder when 12 is divided by v?
2
Let p be (-3)/8 - (1 - (-26)/16). Calculate the remainder when 117 is divided by p/(-5) - ((-1708)/35)/2.
17
Let z = 5482 - 4560. Calculate the remainder when z is divided by 302.
16
Suppose o + 39 = 84. Suppose -3*p = -18*p + o. What is the remainder when 69 is divided by p?
0
Suppose 5*s - 3 - 17 = 0. Let x(g) = 4*g + 74. What is the remainder when s/(-8) + 165/2 is divided by x(-13)?
16
Suppose 0 = -28*w + 55*w - 104*w + 232771. Calculate the remainder when w is divided by 63.
62
Let m(r) = -r**3 - 13*r**2 - 54*r - 721. Let s be m(-13). Let n(l) = 18*l**2 - 8 + l**3 - 11*l - 26 - 11*l. What is the remainder when 43 is divided by n(s)?
20
Let h be 12/(-30)*5 + -8*2. Let w = h - -23. Suppose -174 = -w*s - s. What is the remainder when 85 is divided by s?
27
Suppose -7*k + 5*k = 16. Let x = k + 12. Suppose x*b + 77 = 11*b. Calculate the remainder when 30 is divided by b.
8
Let c = -10081 - -11173. Calculate the remainder when c is divided by 22.
14
Let r(d) = 9*d**2 - 484*d - 87. Suppose -4*m = -145 - 51. Suppose 3*u + m + 0 = v, 3*u - 9 = 0. Calculate the remainder when v is divided by r(54).
16
Let x(v) = -151*v - 729. What is the remainder when 56 is divided by x(-5)?
4
Suppose -1785 = -4*h + 2*o + 3*o, 894 = 2*h - 2*o. Suppose -3*k - s = 2*s - h, -4*k + 5*s + 618 = 0. What is the remainder when k is divided by 40?
32
Suppose 5*q = 11*h - 8*h + 20, -15 = 3*h. What is the remainder when 37 is divided by (q/((-12)/(-28)))/((-3)/(-27))?
16
Calculate the remainder when ((10/2)/(-15) + 0)*-13626 + -6 is divided by 13.
12
Let z be (-1)/(116/28 + 1*-4). Let y be 119/z + (-1 - -2). Let j(i) = -i**2 - 20*i - 8. What is the remainder when j(y) is divided by 19?
18
Suppose -12 = -3*c - 3*c + 3*c. Let p(x) = x**3 - x - 1. Calculate the remainder when p(3) is divided by c.
3
Suppose 0 = 66*v - 74*v + 160. Suppose -11*n + 64 - v = 0. What is the remainder when 60 is divided by n?
0
Let a be -6*4*(-7)/28. Suppose a*c - 593 = -245. What is the remainder when 110 + 0 + (1 - -1) is divided by c?
54
Let c be (-64)/2*(-3)/4. Suppose -2*q + 2*p + 38 = -c, 0 = -5*q - 3*p + 163. What is the remainder when (-149 + 158)*(9 + (-4)/2) is divided by q?
31
Let y(u) = 104*u + 2432. Calculate the remainder when y(-21) is divided by 135.
113
Suppose 2*u = -5*b + 111, 5*u - 105*b = -107*b + 330. Calculate the remainder when 571 is divided by u.
27
Suppose -116 = -3*b + 4*y, -4*y + 220 = -31*b + 35*b. What is the remainder when 479 is divided by b?
47
Suppose 2159*l = 2155*l + 852. What is the remainder when l is divided by 71?
0
Let z(i) = -35*i - 170. Suppose 0 = 12*u + 21 + 39. What is the remainder when 7 is divided by z(u)?
2
Suppose 0 = -5*o + 3*p - 1305, 0*o + 4*o - 3*p = -1041. What is the remainder when (o/(-40) - 7)/(2/(-130)) is divided by 9?
8
Let b = -33 + 30. Let m = -14 - b. What is the remainder when 48 is divided by (m/5 - -2)*-85?
14
Suppose -3810*c + 3805*c + b + 243 = 0, -21 = -3*c + 11*b. Suppose -4*l = 3*t - 0*l - 167, 0 = 5*t - 4*l - 257. What is the remainder when t is divided by c?
2
Calculate the remainder when 479 + 306/(24 - 6) is divided by 102.
88
Suppose -5*q + 3 = 4*w + 38, 0 = -3*w + 3*q - 6. Let y(n) = 0*n - 2*n + 7*n - 18*n + n**3 + 2*n + 3*n**2. What is the remainder when 16 is divided by y(w)?
1
Let z = -1865 + 3285. Calculate the remainder when z is divided by 23.
17
Let x = -29305 + 36803. What is the remainder when x is divided by 15?
13
Let p(x) = x**2 - 33*x + 186. Let o be p(31). Suppose f + 3 = 0, 4*l + 54 = 2*f + o. Calculate the remainder when l is divided by 1/(1 + 4/(-5)).
1
Let n(q) = 235*q - 1134. Calculate the remainder when 40845 is divided by n(6).
273
Let v = -75 + 72. Let k be ((-2)/v)/(6/81). Suppose -398 = -k*u + 133. Calculate the remainder when u is divided by 31.
28
Let k(x) = -3*x**2 + 17*x - 6. Let h be k(5). Suppose 0 = m - 2*s - 161, -5*m + 8*m - 477 = h*s. What is the remainder when m is divided by 39?
38
Let o(i) = -i**3 + 3*i**2 + i + 12. Let w be o(4). Suppose 13*j + 401 - 4652 = w. What is the remainder when j is divided by 7?
5
Let w = -33 - -42. Suppose 0 = w*h + 30 - 471. Suppose -k - 2*k + 3*x + 78 = 0, -5*k - 2*x = -130. What is the remainder when h is divided by k?
23
Suppose 53936*m - 53977*m + 271625 = 0. What is the remainder when m is divided by 315?
10
Let w(p) = -346*p - 279. Calculate the remainder when w(-2) is divided by 209.
204
Suppose 11*i + 4504 = 5120. What is the remainder when 1693 is divided by i?
13
Let y be ((-6)/9)/(6/(-18)). Let m be (-9)/((-2)/48*y). Let l = m - 49. What is the remainder when l is divided by 12?
11
What is the remainder when ((-60)/100)/(121/(-40) + 3) is divided by (-74)/(-10) + (-14)/35?
3
Let u = -31 + 867. Let y = 31748 + -31724. Calculate the remainder when u is divided by y.
20
Let t(v) = -v + 15. Let i = 7 + 32. Let n = i + -32. What is the remainder when t(8) is divided by n?
0
Calculate the remainder when 1374 is divided by (0 - -5)/(140/1428).
48
Let a be (-20)/(-160) + (-94)/(-16). Let d be ((-32)/6 + a)*237/1. Suppose -2*i + 0*i - 80 = -r, d = 2*r - 2*i. Calculate the remainder when r is divided by 9.
6
Suppose 2*f - n - 706 = 0, 4*n - 1381 = -5*f + 384. What is the remainder when f is divided by 172?
9
Suppose -6*u - 4407 = -45*u. Calculate the remainder when u is divided by 23.
21
Let x(o) = -42*o - 148. What is the remainder when x(-5) is divided by 21?
20
Let o(m) = 31*m + 50. Let h be o(-5). Calculate the remainder when (-9*7/h)/(1/335) is divided by 12.
9
Let r(w) = -w**3 + 2*w**2 + 5*w + 8. Let d = 143 + -145. What is the remainder when 167 is divided by r(d)?
13
Suppose -54 = -5*m + 2*a - 6*a, 4*a + 36 = 4*m. Let t(k) = -125*k + 2907. Calculate the remainder when t(22) is divided by m.
7
Suppose -6 = -2*f + 60. Let z(d) = -d**2 + 37*d + 427. Calculate the remainder when f is divided by z(-9).
7
Suppose 52 = -9*w + 13*w. Let j(i) = i**3 - 12*i**2 - 13*i + 34. What is the remainder when 95 is divided by j(w)?
27
Suppose 0*r + 9*r = 5094. Suppose -3*c = -3*n - 24, 4*c + 3*n = 18 + 21. What is the remainder when r is divided by c?
8
Let c(j) = j**2 + j + 4. Suppose -90*y + 7438 + 11780 = 6078. What is the remainder when y is divided by c(-3)?
6
Suppose -76*x + 697 + 1051 = 0. What is the remainder when 28587 is divided by x?
21
Suppose -2*t - 4 = -58. Let m(p) = 10*p**2 - 234*p + 1767. What is the remainder when m(7) is divided by t?
25
Suppose 99*z + w - 1834 = 97*z, -4*z + 3*w = -3688. What is the remainder when z is divided by 58?
49
Let z = 4598 + -3866. What is the remainder when z is divided by 57?
48
Suppose -5*w + 3*z + 491 = -173, 2*z + 397 = 3*w. What is the remainder when 1780 is divided by w?
136
Calculate the remainder when (-3159)/(-6) + 4 + 3/6 + 0 is divided by 91.
76
Let s(c) = -c**3 - 22*c**2 - 27. Let d be s(-22). Let l = d - -193. Calculate the remainder when l is divided by 21.
19
Let h(s) = s**3 + 9*s**2 + 3*s - 10. Let i(j) = 21*j - 850. Calculate the remainder when h(-8) is divided by i(41).
8
Let u = -7928 + 9086. Calculate the remainder when 1165 is divided by u.
7
Let y(o) = -26*o - 1. Let h = -133859 - -133874. What is the remainder when y(-1) is divided by h?
10
Suppose 6448 = 145*s - 153*s. Let f = s - -1357. Calculate the remainder when f is divided by 23.
22
Suppose 2*w + 1708 = 38*w - 8*w. Calculate the remainder when 294 is divided by w.
50
Let f be (-436)/(-18) - -1 - (-4)/(-18). Suppose 29*o - f*o = 448. What is the remai