is divided by x.
7
Suppose 5*s = 2*i + 13 - 1, -5*i = -4*s + 13. Let y(b) = -13*b**3 - 2*b**2 - 2*b. Let z(o) = o + 37. Calculate the remainder when z(0) is divided by y(i).
11
Calculate the remainder when 739 is divided by (1242/(-153) - -8) + 8/(408/13419).
213
Let t = -2972 - -4971. Calculate the remainder when t is divided by 7.
4
Suppose 238*w = 37*w + 6030. Calculate the remainder when 536 is divided by w.
26
Let t(x) = 98*x**3. Let y(j) = 2*j**2 + 11*j + 23. Let q be 147/(-35) + (-5)/(-25). Calculate the remainder when t(1) is divided by y(q).
10
Let y(o) = -5*o**2 + 33*o - 15. Let k be y(6). Suppose 74 + 3 = x + 4*q, -5*q - 146 = -k*x. Calculate the remainder when x is divided by 12.
9
Let n(t) = t**2 + 4*t + 14. Let l be n(-2). Suppose l*r - 49 = 1. Calculate the remainder when r is divided by 5/3 + 3/9.
1
Suppose -5*b + 5*y = -2825, 4*b - 377*y = -380*y + 2218. Calculate the remainder when b is divided by 18.
1
Let c = -29128 + 29243. Calculate the remainder when 1064 is divided by c.
29
Let n = -3398 + 3467. Calculate the remainder when 2413 is divided by n.
67
Let r(f) = 13*f - 89. Let z be r(7). Suppose z*h + 133 = 5*s, -3*s + 4*s - 5 = -5*h. Calculate the remainder when s is divided by 7.
4
Let t = -7131 - -7167. What is the remainder when 2/7 + (-13710)/(-35) is divided by t?
32
Let j be 84*((-85)/(-75) - (-4)/(-5)). Suppose -j*v = -25*v - 24. Suppose l - 58 = -v. Calculate the remainder when 197 is divided by l.
47
Let r be 4/(-6) - (1 - (-440)/(-12)). Let l = r + -14. Suppose -3*q = -l - 0. Calculate the remainder when q is divided by 6.
1
Calculate the remainder when 7858 is divided by 2/((-22)/(-71)) - 1998/(-3663).
4
Let z(h) = 2*h**2 - 2*h**2 - 5 + h**2. Let j = 57882 + -57844. What is the remainder when j is divided by z(-5)?
18
Calculate the remainder when (110/(-50) + 3)/((-8)/(-5620)) is divided by 7.
2
What is the remainder when 10*(-25)/750 - (-1)/((-9)/(-7842)) is divided by 172?
11
Let x(t) = 9*t**2 + t - 5. Let i be x(-4). Let r = i - 92. Suppose 18 = 2*z - p, -8*z = -12*z - p + 48. What is the remainder when r is divided by z?
10
Calculate the remainder when 23/((-115)/15) + 268/1 is divided by 92.
81
Suppose -65 = -f - 35. Calculate the remainder when f is divided by ((-22)/(-2) + -18)*12/(-14).
0
Suppose -s + 48 = -2*k, 10*k = 6*k - 4. Suppose h + 32 = 5*h. What is the remainder when s is divided by h?
6
Let y be -26*((-39)/14 + 10/35). Let h be (-1 - (-126)/(-10)) + (-26)/y. Let l = 24 - h. Calculate the remainder when l is divided by 20.
18
What is the remainder when ((-11)/4 + 1)/(831/(-1898004)) is divided by 125?
122
Let b(z) = z + 109. Let d(u) = u - 1. Let n(m) = 47. Let j(f) = -3*d(f) - n(f). What is the remainder when b(0) is divided by j(-22)?
21
Suppose 3*p + 260 = 5*h, 2*p = -4*h + 5*p + 211. Calculate the remainder when h is divided by (-52)/(-16)*-2*-2.
10
Let y be (1 - 2)*((-136)/(-2) + -14). Suppose -94 = 2*h - 0*h. Let q = h - y. What is the remainder when 19 is divided by q?
5
Suppose -3*z - 8*r + 3574 = 0, 45*z - 3*r = 48*z - 3549. What is the remainder when z is divided by 74?
68
Let r(s) = s**3 + 66*s**2 + 186*s + 74. What is the remainder when r(-63) is divided by 44?
43
Suppose 51 = -6*k + 7*k. Let a = 53 - k. Calculate the remainder when (-1)/a*(-87 - 7) is divided by 24.
23
Let m = 346 + -253. Let w = -77 + m. Calculate the remainder when 40 is divided by w.
8
Let i(v) = -326*v + 3442. What is the remainder when i(0) is divided by 6?
4
Let t = 757 - 540. Let b = t - 207. Calculate the remainder when 116 is divided by b.
6
Let b(l) = -l**2 - 11*l - 7. Suppose -2*m + 2 = -8. Suppose -n = 4 + m. What is the remainder when 63 is divided by b(n)?
8
Let a(d) = 152*d**2 + 1. Let m be 155*3/((-120)/16). What is the remainder when a(1) is divided by 39 + (m - -6)/7?
29
Let x = 27762 - 27576. What is the remainder when x is divided by 62?
0
Suppose 4*l + 34*l = -159*l + 24231. Let p = -1 - 1. What is the remainder when l is divided by (-1 + p)*28/(-6)?
11
Suppose -4*c - 200 = -4*g + 992, 2*c - 5*g = -593. Let v = 445 + c. What is the remainder when v is divided by 37?
35
Let u be -5 - ((-21)/6)/(9/18). Suppose -62 = -3*f + 5*o, u*f + 0*o = -2*o + 68. Calculate the remainder when (-564)/(-5) + (-4)/5 is divided by f.
25
Let f = -11923 + 11934. Let p(j) = -j - 6. Let r be p(-8). Calculate the remainder when 6/(-12)*(-300)/r is divided by f.
9
Let d be (3/2)/(9/(-12)). Let x = 131 - d. Suppose -5*y + 5 = -130. Calculate the remainder when x is divided by y.
25
Calculate the remainder when 36 is divided by 288/26 + 112/(-1456).
3
Let t = -27 + 39. Suppose -t*z = -7*z. Suppose -2*i + 3*i - 30 = z. What is the remainder when i is divided by 4?
2
Suppose 5*s + 152 + 39 = 2*w, w - 4*s = 97. What is the remainder when w is divided by 36?
21
Let p(w) = -14*w**2 - 3*w - 9. Let o be p(-3). Let v = 173 + o. Calculate the remainder when v is divided by 24.
23
Suppose d - 3 = -0*d, 5*d = 3*m + 9. Let f be 560/25*25/m. Suppose 1000 = 5*h + f. Calculate the remainder when h is divided by 37.
33
Suppose 246*m - 24 = 240*m. Suppose m*v - 453 = -s, -8*v = -3*s - 250 + 1529. What is the remainder when s is divided by 40?
37
Let n(x) = 42*x**2 + 13*x + 8. What is the remainder when n(-9) is divided by 21?
17
Suppose 0 = -35*o + 63*o - 21140. Calculate the remainder when o is divided by 108.
107
Let u = -22034 - -22066. What is the remainder when 40765 is divided by u?
29
Calculate the remainder when 58 is divided by (-11)/(((-9)/(-12))/(3/(-4))).
3
Suppose 31*d + 381 = -52*d + 1460. Let r(c) = -c - 7. Let b be r(-8). Calculate the remainder when b/(-5) - (-492)/10 is divided by d.
10
Let s = -731 - -869. What is the remainder when s is divided by 48?
42
Suppose 4*m + 5*a = 9 + 4, 0 = -2*m - 4*a + 2. Let u(f) = f**3 - 8*f**2 + 25*f - 4. What is the remainder when u(m) is divided by 21?
17
Suppose -19*j = -6*j + 3*j - 1856. What is the remainder when j is divided by 57?
2
What is the remainder when -117 + 20499 + -5 + 20 is divided by 24?
21
Let n = -513 - -516. Suppose n*l = y + 24, -3*l + 3*y + 24 = -2*y. Suppose -20 = -2*u + 30. What is the remainder when u is divided by l?
1
Suppose 115*b - 14138 = 7827. Calculate the remainder when 2117 is divided by b.
16
Suppose 6*f + 2489 = -4747. Let q be 36/63 + f/(-21). Suppose -5*z = 2*s + q - 163, -5*z = s - 100. Calculate the remainder when z is divided by 5.
4
Suppose 13*a = -12*a + 400. Suppose 1162 = 2*u + 5*u. What is the remainder when -9 + u + 1*2 is divided by a?
15
Let p(h) = -28*h + 4. Let u be p(-5). Let j = -126 + u. Calculate the remainder when 231 is divided by j.
15
Let r(f) = 2*f**2 + 30*f + 3. Suppose 0 = 7*q + 97 + 8. Let m be r(q). Suppose -6 = m*j - 87. Calculate the remainder when j is divided by 14.
13
Suppose 0 = 33*f + 2*f - 1505. Let h(p) = p**2 + 9*p + 5. Let z = -14 + 4. Calculate the remainder when f is divided by h(z).
13
Suppose 554*m = 362*m + 267*m - 2625. Let x(c) = 2*c**3 - 1 - 34*c**3 - 73*c**3. What is the remainder when x(-1) is divided by m?
34
Let q(f) = 3*f**3 - 6*f**2 + 3*f + 8. Calculate the remainder when 0 - (-26 + 1*-1) is divided by q(2).
13
Let g = -9838 - -14317. Calculate the remainder when g is divided by 16.
15
Let n(c) = 132*c - 1013. What is the remainder when 375 is divided by n(8)?
31
Let i = -79 + 77. Let r be 25593/95 + (i/5 - -1). Suppose -r = -13*a - 2*a. What is the remainder when 106 is divided by a?
16
Let t = 12 - -3. Let h be -1 - (4 - -1) - -6. Suppose -4*i = 2*b - 104, h*i - 4*b + 100 = 4*i. Calculate the remainder when i is divided by t.
12
Let g(d) = -47*d + 822. Suppose -3*k + 128 = -37. What is the remainder when g(14) is divided by k?
54
Let n be ((-5)/5)/((-2)/14). Suppose n*w + 2*w - 171 = 0. Calculate the remainder when 48 is divided by w.
10
Suppose -1427*i + 1422*i = -j - 1335, 0 = i - 3*j - 253. What is the remainder when 623 is divided by i?
87
Let p = -107351 - -107369. Let v = 95 - 41. What is the remainder when v is divided by p?
0
Let g = 13 - 6. Suppose -45*p = -41*p + 4*d - 32, 0 = 5*p + 2*d - 43. Calculate the remainder when ((-1)/2)/((-489)/54 + p) is divided by g.
2
Let r be ((3/2)/1)/(9/18). Suppose -458 = 5*l + r*j, -2*l - 208 = -3*j - 8. Let a = -46 - l. Calculate the remainder wh