-c - 4*i = -46. Suppose 8*t = 31*t - 552. Suppose t*x - 96 = 120. Calculate the remainder when c is divided by x.
8
Let d be 4/6 - (-278)/6. Let z = d - -12. Calculate the remainder when 117 is divided by z.
58
Let c be (-8)/6 + 119/(-21). Let g(w) = -5*w**2 - 40*w + 12. Calculate the remainder when g(c) is divided by 5.
2
Suppose 939 = -24*o - 11085. Let c = 590 + o. Calculate the remainder when c is divided by 53.
36
Suppose 2*b + 3*b = 25. Suppose 0 = -3*s - t + 1649, -3*s + 5*t = -2640 + 1021. Suppose s = b*o - o. Calculate the remainder when o is divided by 20.
17
Let f(v) = 232*v - 57. What is the remainder when f(5) is divided by 6?
5
Suppose 55*s = -h + 54*s + 138, -714 = -5*h + s. What is the remainder when 329 is divided by h?
45
Let s(h) = 39*h**2 - 95*h - 783. Calculate the remainder when s(-9) is divided by 21.
18
Let q = 149 - -34. Suppose -3*g = 1 - 7, 0 = -r + 2*g. Suppose y + q = r*c, 2*c = c - y + 42. What is the remainder when c is divided by 16?
13
Let w = 3923 + -3668. What is the remainder when 261 is divided by w?
6
What is the remainder when 4242 is divided by (10*(-3)/(-6))/((-11)/(-550))?
242
Suppose -14*z + 5*j - 2145 = -17*z, 0 = z + 3*j - 711. Calculate the remainder when z is divided by 14.
6
Let a(u) = u**3 + 145*u**2 - 313*u + 1818. What is the remainder when a(-147) is divided by 63?
12
Let t be 1 + -319 + -13 + 10. Let x = t - -475. What is the remainder when x is divided by 27?
19
Let a(n) = 33*n**2 - 99*n + 220. Let v(u) = -11*u**2 + 34*u - 74. Let b(d) = 3*a(d) + 8*v(d). Calculate the remainder when b(5) is divided by 28.
22
Suppose 129*a - 300 - 345 = 0. Calculate the remainder when 801 is divided by a.
1
Let k(x) be the third derivative of x**5/60 + 7*x**4/24 - 215*x**3/6 - 3*x**2 + 8. Calculate the remainder when k(12) is divided by 12.
1
Suppose -y + 5*r = -10, 3 = -2*r + 1. Suppose -3*t - 4 = -y*t. What is the remainder when 35 is divided by 592/28 - (-2)/(-14) - t?
16
Let u(v) = v**3 + 11*v**2 + 16*v + 89. Let c(y) = -y - 1. Let f be c(-3). What is the remainder when f - (-423)/3*1 is divided by u(-10)?
27
Let c(l) = 2*l**2 - 8*l - 1. Suppose 0 = -5*r + 2 - 17. Calculate the remainder when c(6) is divided by 40/(-30) - 40/r.
11
Suppose -9*f = -3*f - 12. Suppose 2*u = 2*k - 216, 318 = 3*k - f*u - 6. What is the remainder when k is divided by 22?
20
Suppose -5*u - 3699 = -8*u. Suppose -13*s + 41 = -u. What is the remainder when s is divided by 33?
32
Let i = 127 + -206. Let o = 82 + i. Let p(w) = w**2 - 2*w + 2. What is the remainder when p(3) is divided by o?
2
Let h = 6442 - 5981. What is the remainder when h is divided by 126?
83
Let w(q) = -125*q - 10459. Calculate the remainder when w(-94) is divided by 635.
21
Suppose -14 = -5*l + 1. Suppose -2*m = -g + l*g + 2, 15 = 5*g. Calculate the remainder when 2 - (m + 5)*-7 is divided by 8.
1
Let p = -5004 + 5132. Calculate the remainder when p is divided by 35.
23
Calculate the remainder when (0 + 36/(-14))/((8424/(-4704))/117) is divided by 85.
83
Suppose -165 = -30*f + 195. Let n(s) = s**3 - 12*s**2 + 5*s - 40. What is the remainder when 149 is divided by n(f)?
9
Let k = 126 - 104. Suppose -20*q + k*q = 76. Calculate the remainder when q is divided by 9.
2
Let d = -11649 - -16180. What is the remainder when d is divided by 56?
51
Suppose -n - 1 = p, -4*n + 14 + 12 = -2*p. What is the remainder when 946 is divided by n?
2
Let c = 1637 + -852. What is the remainder when c is divided by 775?
10
Let d = 249 + -175. Suppose 0 = 3*p + 17*r - 21*r - 57, 57 = 3*p - r. Calculate the remainder when d is divided by p.
17
What is the remainder when 331 is divided by (-155)/(-3) - (-770)/(-210)?
43
Let u(f) = -f**3 + 129*f**2 + 265*f - 375. What is the remainder when (-104)/6*36/(-8) is divided by u(131)?
6
Suppose 3*z + 6*z - 45 = 0. Suppose -296 = -z*b + 149. Suppose -2*a - 2*a - v = -b, -a + v + 21 = 0. What is the remainder when 109 is divided by a?
21
Let z(b) = -8*b - 4. Suppose 6*q - 1508 = -6*q + 328. Calculate the remainder when q is divided by z(-4).
13
Let c = 6455 + -6166. What is the remainder when 764 is divided by c?
186
Suppose 0 = -t + 2*t - 3. Suppose 0 = -2*p + t*r + 50, 5*p - 176 = 2*r - 51. Calculate the remainder when p is divided by -2*((-2)/4 + 6*15/(-30)).
4
Calculate the remainder when (2056/1799)/((-3)/(-6636)) is divided by 65.
58
Suppose -5*q + 2*y = 1788, -1710 = 5*q + 3*y + 58. Let d = q - -609. What is the remainder when d is divided by 15?
13
Let q = 9304 + -9280. What is the remainder when 15885 is divided by q?
21
Let f be (-10)/(-55) - (-27)/33. Let b be (f - 88) + (-1 - (0 + 0)). Let d = 118 + b. What is the remainder when 88 is divided by d?
28
Let w = 8 + 0. Suppose i - s - w = 0, 2*i + 4*s - 21 - 1 = 0. Suppose 2*o = 19*v - 20*v + 25, 5*o - 255 = -8*v. What is the remainder when v is divided by i?
8
Let p = -52 - -74. Suppose -2*w - l = 59, -2*w - 3*l = -w + p. Let z = -22 - w. Calculate the remainder when z is divided by 3.
0
Let z be (-777)/(-74)*(-14)/(-3). Let i = 111 - z. What is the remainder when i is divided by 37?
25
Let z(i) = i**2 - 44*i - 1669. What is the remainder when 69 is divided by z(69)?
13
Suppose -75 = -3*y - 0*y. Let b(k) = k - 2. Let z be b(2). Suppose -3*i - 2*i + 5*c + 475 = z, -5*c = 4*i - 380. Calculate the remainder when i is divided by y.
20
Let i(q) = 203*q + 15317. Calculate the remainder when i(-75) is divided by (-22)/(-4) - (-1)/2.
2
Let w(j) = 5*j**3 + 114*j**2 - j + 41. Calculate the remainder when w(-14) is divided by 310.
309
Let s be 4/(-16) - 18/(-8). Suppose s*x - 99 = x. Let z = 54813 + -54793. Calculate the remainder when x is divided by z.
19
Suppose 887 + 209 = 137*r. What is the remainder when r is divided by -7*(2 - 1)*-1?
1
Suppose 27*a - 2060 = 6931. Calculate the remainder when a is divided by 20.
13
Let g = 492 - 489. Suppose 4*a + 110 = -g*m + 185, 2*a - m - 25 = 0. Calculate the remainder when 344 is divided by a.
14
Let n(x) = x**2 + 41*x + 78. Let s be n(-36). Let d = s + 110. What is the remainder when 158 is divided by d?
6
What is the remainder when 562 is divided by ((-2)/7)/((-23852)/(-1988) + -12)?
136
Suppose y + 3*d - 2*d - 290 = 0, 2*y + 5*d = 589. Suppose 0 = 3*x - y - 562. Let b(f) = 2*f**2 + 34*f - 17. Calculate the remainder when x is divided by b(-18).
17
Let v(w) = -26*w - 224. Calculate the remainder when v(-21) is divided by 27.
25
Suppose 9*u + 6110 = 5*p + 14*u, 0 = -p + 3*u + 1230. What is the remainder when p is divided by 209?
179
Calculate the remainder when 383 is divided by 14*11/(484/1078).
40
Let h = 1244 - 1220. Let b = -26 + 43. Calculate the remainder when h is divided by b.
7
Suppose -4*l = -0*l - 2*d - 26, -3*l + 2*d = -22. Let n = 10 - l. Let v(u) = 3*u**3 - 41*u**2 + 27*u + 10. Calculate the remainder when v(13) is divided by n.
5
Suppose -3*c = 2*c. Suppose c = 2*f - 6 + 4. Calculate the remainder when 81 is divided by 2/((-39)/42 + f).
25
Let z = 6362 - 5950. Calculate the remainder when z is divided by 139.
134
Let x(b) = b**3 - 3*b**2 - 2*b - 13. Let q be x(5). Suppose -30*m = -q*m - 120. What is the remainder when 159 is divided by m?
39
Let y be 4/(16/4)*-151. Let z = y - -306. Suppose 2*t = -3*t + z. What is the remainder when 60 is divided by t?
29
Let m(s) = -784*s + 69. Let v be 10/(-15) - 128/(-3). Suppose 3*o + v = l, 0*l - 30 = -l - 3*o. Calculate the remainder when m(0) is divided by l.
33
Let x = 21 - 23. Let c(i) = -7*i - 2. Calculate the remainder when 19 is divided by c(x).
7
Let y(m) be the third derivative of -m**4/24 + 19*m**3/6 - 7*m**2. Let h(f) = -f**2 - 4*f + 138. Calculate the remainder when h(9) is divided by y(13).
3
Suppose -b + 36 - 6 = 0. What is the remainder when b is divided by (5049/(-1496))/(54/(-16) - -3)?
3
Suppose -v + 2*q - 89 = -292, 5*v - 1099 = -2*q. What is the remainder when 7811 is divided by v?
216
Let z(k) = -2*k**2 - 16 - 3*k + 17*k**3 - 8*k**2 - 18*k**3. Let j = 10 + -2. What is the remainder when z(-10) is divided by j?
6
Let g = -124 + 383. Let k = g + -437. Calculate the remainder when (k/(-6) - 1)/(6/9) is divided by 23.
20
Suppose -4*t - 16 = 0, -5*u + 3*t = -1 - 1. Let g(l) = 47*l**2 + 7*l + 17. Calculate the remainder when g(u) is divided by 13.
9
Let m = 58 - 40. Suppose -6*b +