 -0*p + p - 5*k, 3*p - 5*k = s. What is the remainder when 32 is divided by p?
4
Let u(x) = -7365*x - 44156. Let w = 593 - 289. What is the remainder when w is divided by u(-6)?
32
Let k(x) = -6*x - 41. Let t be k(-9). Suppose 2509 = t*d + 572. What is the remainder when d is divided by 10?
9
Suppose -6*u + 27 - 9 = 0. Suppose 2*s - u*y = 27, 4*s = 7*s + 2*y - 34. Suppose -s*a + 351 = 111. What is the remainder when 57 is divided by a?
17
Suppose 6*b - 36 - 4158 = 0. What is the remainder when b is divided by 100?
99
Suppose 400*u - 188*u - 7110 = -962. Calculate the remainder when 3100 is divided by u.
26
Let t(m) = m**2 + 90*m + 434. Let b = 920 - 399. What is the remainder when b is divided by t(-5)?
8
Let o = -555 + 1085. Calculate the remainder when o is divided by 165.
35
Let g(a) = 22*a + 8. Suppose -4 = -2*p + 4*b - 0*b, 5*p + 2*b - 46 = 0. Let w be g(p). Suppose -4*q - 4*q = -w. What is the remainder when q is divided by 17?
6
Let f(c) = -c**2 + 2*c - 14. Let m(r) = r**2 - 21*r. Let a be m(21). Let t be f(a). What is the remainder when (207/5 - -1) + t/35 is divided by 22?
20
Let g(t) = -14*t + 56. Let l be g(0). Suppose l*u = 65*u - 216. What is the remainder when u is divided by 5?
4
Suppose 0 = 2*h + 5*y - 35, -h = 3*y - 2*y - 13. Suppose 0 = -r + h + 44. Let d = r - 24. Calculate the remainder when d is divided by 11.
8
Suppose -13*i = 770 + 296. Suppose 0 = 3*h - 266 - 16. Let w = i + h. Calculate the remainder when 215 is divided by w.
11
Let b = -7152 - -8083. What is the remainder when b is divided by 45?
31
Suppose -12*r = -22 + 34. What is the remainder when (-2 - r)/((2 - -3)/(-515)) is divided by 35?
33
Let y be 4*(-2)/(-4) - -8. Suppose 5*h = -0*l - l + 119, -5*l = -h - 621. Suppose y*j - 166 = l. What is the remainder when j is divided by 5?
4
Suppose -5*x = -5*o + 220, 4*x + 56 = 2*o - o. Let i(l) = -l**2 + 77*l - 876. Calculate the remainder when o is divided by i(14).
4
Let d = 66 - -76. Let b(q) = 1556*q + 10928. What is the remainder when d is divided by b(-7)?
34
Let r(b) = 375*b**3 + b**2 - b. Let v be r(1). Let a = v - 364. Suppose z = 4*h - 15 + 79, 4*z + 4*h = 256. Calculate the remainder when z is divided by a.
9
Suppose t + 2*r = -358, 0*t - 2*r + 710 = -2*t. Suppose 226*b - 1710 = 216*b. Calculate the remainder when b is divided by t/(-8) - (-3)/(-2).
42
Let x(o) = -6*o + 248. Let b(y) = -9*y + 141. Let p be b(14). Calculate the remainder when x(p) is divided by 32.
30
Let m = -840 + 1351. Suppose 931 = 10*x + m. Calculate the remainder when x is divided by 4.
2
Let w be -8*(231/(-12))/7. Suppose m - 32 = -w. What is the remainder when m is divided by 2?
0
Let s = 391 + -169. Let d = s - 135. What is the remainder when d is divided by 22?
21
Let m(p) = -2*p**2 - 71*p - 146. Let q be -36 + 6 - (4 + 1 + -2). Calculate the remainder when 207 is divided by m(q).
17
Let o(q) = -41*q**3 - 24*q**2 - 95*q - 20. Calculate the remainder when o(-4) is divided by 21.
17
Let t(a) = 36*a - 37. Let b = -213 + 217. What is the remainder when t(b) is divided by 36?
35
Suppose 943376 + 305156 = 331*a. Calculate the remainder when a is divided by 25.
22
Let m(p) = p**2 + 2*p - 20. Let k(r) = -185*r + 952. Calculate the remainder when m(-11) is divided by k(5).
25
Let n(p) = p**3 - 2*p**2 + p + 24. Let y be n(0). Suppose -42 = 21*s - y*s. What is the remainder when 53 is divided by s?
11
Let n = 4244 + -4079. Calculate the remainder when n is divided by 1.
0
Let t = -9 + 13. Let y(x) = x**3 - 2*x**2 + x + 1. Calculate the remainder when y(t) is divided by (6 + 0)*(-5)/(-3).
7
What is the remainder when 1046 is divided by 295 + -11 + -1*(9 + -10)?
191
Let y(m) = -27*m - 1. Suppose 4*p = -l + 1002, -2*l + 5*p = 753 - 2705. What is the remainder when l is divided by y(-1)?
24
Let m(l) = -10*l + 130*l**2 - 8*l + 2 + 17*l. Let k be m(1). Suppose -6*a = -893 + k. What is the remainder when a is divided by 32?
31
Let z = 1 + 4. Let b = 618 + -614. Suppose a - 60 = -b*l - 39, -3*a = -3*l - 3. What is the remainder when a is divided by z?
0
Let k(y) = 25*y + 399. Let n be k(0). Suppose 175*j - 156*j = n. Calculate the remainder when 41 is divided by j.
20
Let c = -644 - -940. Let j = -24156 - -24189. Calculate the remainder when c is divided by j.
32
What is the remainder when 564 is divided by 18/(-24)*(-80)/6?
4
Let n be 489/(-2)*2/(-3). Let w = n - 92. Let s(j) = -5*j**3 + 26*j**2 - 6*j + 23. Calculate the remainder when w is divided by s(5).
17
Suppose 0 = -2*o + 5*w + 60, -o - 2*w = 3*w - 30. Suppose 1490*r - 5381 = 55948 - 4709. Calculate the remainder when r is divided by o.
8
Let q(s) = 3*s**3 + 4*s**2 + 6*s - 9. Calculate the remainder when 1253 is divided by q(3).
119
Let w = -7434 - -7456. What is the remainder when 2331 is divided by w?
21
Suppose -48*s + 20 = -44*s. Suppose s*y - 2*u = -110, 21 = 2*y + 3*u + 84. What is the remainder when ((-32)/(-12))/((-2)/y) is divided by 11?
10
Let z(t) = 17*t - 90. Let s be z(8). Suppose 4*y = -2*c + 48 + s, 5*c + 5*y - 240 = 0. What is the remainder when 293 is divided by c?
48
Suppose 4*x = -3*z + 136 + 147, 0 = x - z - 62. Calculate the remainder when x is divided by (-147)/(-9) - (-4)/6.
16
Let a(y) = -y**2 - 4*y + 101. Let l be a(8). Suppose 128 = l*z - 2*k, 4*k = -5*z + 59 + 45. What is the remainder when 235 is divided by z?
19
Let n be (-1)/(((-1)/(-1))/11). Let z = n - -20. Calculate the remainder when (3/(3/(-2)) + 0)/((-12)/312) is divided by z.
7
Let r be 2856/30*-2 + 9/(-15). Let q = r + 212. Calculate the remainder when 314 is divided by q.
20
Let t(m) = m**3 - 70*m**2 + 84*m + 38. Calculate the remainder when t(69) is divided by 17.
2
Let y(c) = 2*c - 37. Let m = 256 + -217. Calculate the remainder when 141 is divided by y(m).
18
Suppose -7*c + 2784 = -58. Calculate the remainder when c is divided by 211.
195
Suppose -2*k + 6*k - 8 = -3*d, -5*k - 21 = -4*d. Let g be (-40)/(-15) - k/3. Suppose g*i - 86 + 41 = 0. What is the remainder when 42 is divided by i?
12
Let r(q) = 59*q + 617. Calculate the remainder when r(0) is divided by 155.
152
Let i = 26 - -184. Let r = i - 195. Suppose 0*k + k - 56 = 0. Calculate the remainder when k is divided by r.
11
Let v = -787 - -1102. Let i = v + -295. Let g = 195 + -98. Calculate the remainder when g is divided by i.
17
Let j(k) be the first derivative of -3*k**2 + 51*k + 82. Let n(b) = b**3 + 22. Calculate the remainder when j(-6) is divided by n(0).
21
Suppose -4*m = -x - 12, -4*x = m - 27 + 7. Suppose -2*q + 12 = 2*a, 0 = m*a + 1 + 11. What is the remainder when 19 is divided by q?
1
Let m = 48 + 10. Let c = 1837 + -1606. Calculate the remainder when c is divided by m.
57
Let i = -11 + 17. Let d be (-26728)/(-34) - (144/(-136))/(-9). Let u = d - 784. What is the remainder when i is divided by u?
0
Let r(l) = -l**3 - 24*l**2 - 11*l + 360. Calculate the remainder when r(-27) is divided by 57.
51
Let w = 121 + 264. Let l be w/15 + (-2)/3. Let j = l + 2. What is the remainder when 105 is divided by j?
24
Suppose 235*x - 1110*x + 10663 - 163 = 0. Calculate the remainder when (1 + -6)*(-33)/5 is divided by x.
9
Let v = -25243 - -34362. What is the remainder when v is divided by 96?
95
Suppose 0 = 8*d - 15*d - 1428. Let r = 270 + d. Calculate the remainder when r is divided by ((-10)/5)/((-1)/14).
10
Suppose 3*i - 2*w - 221 = 2*w, 154 = 2*i + 4*w. Let r(g) = 2824*g - 45158. Calculate the remainder when i is divided by r(16).
23
Let c(m) = m**3 + 2*m**2 - 3*m + 3. Let o be c(-3). Suppose -o*x + 15 + 183 = 0. What is the remainder when x is divided by -2 + 196/12 - (-17)/(-51)?
10
Let s(m) = m**3 + 5*m**2 - 2*m - 2. Let b be 40/220 - 57/11. Let o be s(b). Suppose o*h - 192 = 1000. What is the remainder when h is divided by 30?
29
Let u = -8212 - -8225. Calculate the remainder when 14324 is divided by u.
11
Let t(v) = -7*v**2 + v**3 - 6*v**2 - 1 + 5 - 3*v + 11*v**2. What is the remainder when 6 is divided by t(3)?
2
Let d be 35/21 + (-1 - 2/(-6)). Let a(q) = -4 - d + 8 - q. Calculate the remainder when 17 is divided by a(-2).
2
Suppose 65*n = 74*n - 855. Suppose 75*q - 83*q = -384. What is the remainder when n is divided by q?
47
Suppose -170 = -4*j + 4*y - 50, 3*j + y - 70 = 0. Suppose 0 = 16*l + 6366 - 7390. Calculate the remainder w