by t?
18
Let f(q) = q**3 - 8*q**2 - 135*q - 41. Calculate the remainder when 84 is divided by f(-8).
9
Calculate the remainder when (-30235)/(-65) - 4 - 18/117 is divided by 9.
2
Suppose -2*x + 29 = 7. Let u be ((32/(-48))/1)/((-4)/42). Suppose -u*h - 140 = -9*h + 4*c, 5*c - 167 = -2*h. What is the remainder when h is divided by x?
10
Let o(r) = -3*r - 13. Suppose 1583*u = 1592*u - 603. Calculate the remainder when u is divided by o(-9).
11
Let n(y) = y**2 - 5*y + 8. Let s be n(2). Suppose -10 = -b + x + 3*x, b = -s*x + 4. Suppose -b*c + 70 = -80. Calculate the remainder when 97 is divided by c.
22
Suppose 0 = c + 5*q - 630 - 1350, 0 = q + 3. What is the remainder when c is divided by 990?
15
Suppose -6*f + 633 = -1947. Suppose -3*r = -4*a + 351, -12*r + 10*r - f = -5*a. Calculate the remainder when a is divided by (-4 + 2 - -3)*22.
18
Suppose 4*x - 5*o - 166 = 0, -2*o = 111*x - 109*x - 74. Calculate the remainder when 470 is divided by x.
2
Let h = 2112 + 2068. Calculate the remainder when h is divided by 1044.
4
Suppose -18*r - 158275 - 45533 = -150*r. What is the remainder when r is divided by 18?
14
Calculate the remainder when 4 + 7/(-2) + 31328/64 is divided by 161.
7
Suppose 63*s - 6287 + 995 = 0. What is the remainder when s is divided by 32?
20
Let h = -426 - -429. Suppose 5*n - 8*n + 164 = 2*g, h*g = -4*n + 248. Calculate the remainder when g is divided by 15.
13
Let a(c) = c**2 - 4*c - 8. Let t be a(6). Suppose 143 - 35 = t*m. Suppose -20*y = -21*y + m. What is the remainder when y is divided by 5?
2
Let d be -2*219/(-6) - 3. Suppose -d = -5*b + 5*l, 2*l - 4*l = -6. What is the remainder when b is divided by 9?
8
Let j be -38*1*(-92)/46. Suppose -2*g = -5*m + j, -g - 4*g - 54 = -4*m. Calculate the remainder when m is divided by 4.
0
Let x(f) = 44*f + 10. Let p = 24 + -21. Let m be x(p). Suppose 0 = 3*j + 2*j - a - m, -4*j + 5*a + 122 = 0. Calculate the remainder when 79 is divided by j.
23
Suppose 0 = -11*v + 8*v - 5*w - 625, -3*w + 3 = 0. Calculate the remainder when 109 is divided by (48/30)/((-12)/v).
25
Let c(z) = -2*z**2 + 8*z + 9. Let n be c(7). Let v = n + 54. Let u(x) = 4*x**3 - 3*x**2 + x - 3. Calculate the remainder when u(3) is divided by v.
18
Let b(p) = 1432*p + 60. What is the remainder when 1367 is divided by b(0)?
47
Suppose j + 25 - 71 = -h, 30 = j + 5*h. Suppose -3*y = -i - j, -y = 4*y - i - 82. Let u = -191 + 268. Calculate the remainder when u is divided by y.
13
Suppose -2*l = 5*r - 22 + 24, 0 = -r + l + 1. Suppose n + 259 = 4*h - 62, -h - 5*n + 96 = r. Calculate the remainder when h is divided by 22.
15
Let j = 53177 + -45938. Calculate the remainder when j is divided by 15.
9
Let r = -61 - -16. Calculate the remainder when ((-6246)/r)/(4/10) is divided by 27.
23
Suppose -5*a + 36 = -4. Suppose -17*v + 18*v - 9 = 0. Suppose 153 = -0*u + v*u. What is the remainder when u is divided by a?
1
Suppose r - 19 = 56 - 18. What is the remainder when r is divided by 33?
24
Suppose 62*n = 72*n - 1090. Let l = n + -23. What is the remainder when l is divided by 32?
22
Let c be ((-13)/(-3))/((-1)/9). Let v be (-2830)/(-30) - ((-1)/(-3) - 0). Let h = c + v. Calculate the remainder when h is divided by 14.
13
Suppose 1785 + 1051 = 44*u - 684. Calculate the remainder when 1432 is divided by u.
72
Let t be -3*((-66)/9 + 7). What is the remainder when 84/(-168) + (-166)/(-4) + t is divided by 27?
15
Suppose -f + 2*f - 3*d - 281 = 0, -569 = -2*f - d. Let w = f - 117. What is the remainder when w is divided by 7?
6
Let j = -415 + 640. Suppose -12*c = -j - 3. Let l(t) = 36*t**3 + t - 1. What is the remainder when l(1) is divided by c?
17
Let v(r) = -4*r + 7. Let x be v(1). Suppose -104 = -x*w + w. What is the remainder when w is divided by 28?
24
Let p(v) = 4*v - 32. Let h(u) = -11*u + 95. Let w(t) = 3*h(t) + 8*p(t). Let n be (-13)/(6 - 1 - 6). What is the remainder when 63 is divided by w(n)?
15
Suppose 7006647*q - 7006822*q = -7000. Let g = -15 - -21. Suppose g*i = i + 390. What is the remainder when i is divided by q?
38
Let h = -3629 + 3635. Suppose -3*x + i + 7 = 0, 8*i - 3*i - 25 = 0. Suppose 28 + 52 = x*q. Calculate the remainder when q is divided by h.
2
Suppose -85*u = 6*u - 13963 - 34358. Calculate the remainder when u is divided by (-460)/(-6) - 2/3.
75
Let t be -2 - (4 + -5)*142. Suppose 2*z = -8*z - t. Calculate the remainder when 37 is divided by 1/(-1) - z/1.
11
Let i(o) = 2*o**3 - 6*o**2 - 3*o - 2. Suppose -10 = -4*n - m, -3*n + 4*m + 0*m - 2 = 0. What is the remainder when i(4) is divided by n?
0
Let s be 1/(0 + 4/(-12)). Let i(m) = -18*m - 17. What is the remainder when 101 is divided by i(s)?
27
Suppose 2*s = -0 + 8. Let t(v) = -v - 11. Let r be t(-21). Let h = -5 + r. Calculate the remainder when h is divided by s.
1
Let p(z) = -4912*z - 3109. What is the remainder when p(-1) is divided by 152?
131
Let m be ((-1)/(-3) - 126/(-27)) + -1. Suppose -3*g = -m*l + 57 + 80, 2*g + 76 = -5*l. Let j = g - -52. Calculate the remainder when j is divided by 5.
4
Suppose 26*a - 21*a = 0, -4*k + 22500 = -2*a. Calculate the remainder when k is divided by 7.
4
Let y(r) = r**3 - 26*r**2 + 4*r + 40. Let a(c) = c**3 - 24*c**2 + 3*c + 39. Let m(d) = 5*a(d) - 4*y(d). Calculate the remainder when m(16) is divided by 7.
5
Let n = 3402 + -3369. What is the remainder when 1879 is divided by n?
31
What is the remainder when (6 - 60/12) + (-3198)/(-2) is divided by 7?
4
Let k = 1869 + -1848. Calculate the remainder when 48 is divided by k.
6
Suppose -9 + 0 = -3*q. Suppose q*h - 31 = 41. What is the remainder when 111 is divided by (h + -5 + 4)/1?
19
Suppose 3 = y, -26*f + 522 = -24*f - 4*y. What is the remainder when f is divided by 66?
3
Suppose -2*g - 32 = v, -v = -g - 12 - 10. Let h(z) = 2*z**3 + 37*z**2 + 18*z + 27. What is the remainder when h(g) is divided by 8?
3
Suppose -4*j - 1 = -5*j. Let s be 8*j/2 - (1 + 70). Let h = 139 + s. Calculate the remainder when h is divided by 19.
15
Let j(g) = 3*g**3 - 6*g**2 + 19*g - 20. Let o be j(4). Let u = o - 58. Calculate the remainder when u is divided by 14.
10
Suppose y - 45*z = -41*z + 46, 2*y = -3*z + 147. What is the remainder when 387 is divided by y?
57
Let r = -69987 - -70054. Suppose 0 = 3*x + 2*x - 2335. What is the remainder when x is divided by r?
65
Let m(c) = -4*c**3 + 29*c**2 + 65*c + 8. What is the remainder when 8/(-20) + (-4148)/(-20) is divided by m(9)?
25
Let k(z) = z - 2. What is the remainder when 852/36 + 3 + (-42)/9 is divided by k(15)?
9
Suppose -41*o = -34*o - 3430. Suppose -o*m - 240 = -494*m. What is the remainder when 63 is divided by m?
3
Let w(l) = 4*l + 11. Let d(m) = -4*m - 12. Let z(j) = -4*d(j) - 3*w(j). Calculate the remainder when 216 is divided by z(4).
30
Suppose -8206 = 116*a - 138*a. What is the remainder when a is divided by 29?
25
Suppose 0 = -3*y - 142 + 28. Let f be (132/15)/(2/(-5)). Let b = f - y. Calculate the remainder when b is divided by 7.
2
Let z = 43 - 31. Let s be ((-198)/30 - -6)/((-2)/10). Suppose -h + 3 = -o, 2*h + s*o + 4 = 7*o. Calculate the remainder when z is divided by h.
4
Suppose 2*p = 111*p - 31828. Calculate the remainder when p is divided by 98.
96
What is the remainder when (819/27 - 33)*(-2 + (-170)/8) is divided by 51?
11
Suppose 244 = 8*y - 2404. Calculate the remainder when y is divided by 177.
154
Let b(i) = -4*i - 24. Let z be b(-6). Suppose -3*w + 9 = -z. Suppose -w*c = -7*c + 52. Calculate the remainder when c is divided by 11.
2
Let g = -23 - -28. Suppose g*h - 26 = 19. Suppose 0*k - 3*k = 2*f - 102, 0 = -k - 2*f + 38. Calculate the remainder when k is divided by h.
5
Suppose 0*u + 17 = 4*u - b, -5*u = 2*b - 5. Suppose -u*m + 4*p + 9 = -13, -4*m + 22 = 2*p. Suppose m*s + 17 = 89. What is the remainder when 92 is divided by s?
8
What is the remainder when 1030 is divided by (-21 + (-1159)/(-57))*(-2 - 379)?
14
Let a(f) = -5*f + 42. Let b be a(-15). Let n = b - 95. What is the remainder when n is divided by 16?
6
Suppose -9*d = -12*d + 9. Suppose -12 = -h - d*h. Let j = 159 + -157. Calculate the remainder when h is divided by j.
1
Let z be (-8)/(-28) + 40/56 + -1. Let y(m) = -17*m + 18. What is the remainder when 520 is divided by y(z)?
16
Let l(w) = -w**3 + 13*w**2 - 6*w. Let g(a) = -2*a**3 + 25*a**2 - 12*a - 1.