
44
Let t be (87 - ((0 - -2) + 0)) + -1. What is the remainder when 89 is divided by (12/(-14))/((-4)/t)?
17
Suppose s - 28043 = -18*s - 8739. What is the remainder when s is divided by 9?
8
Suppose 256*t - 137930 = 140598. What is the remainder when t is divided by 13?
9
Let j be (5/2)/((-68)/(-5848)). Suppose -4*x - 3*b + 122 = 0, 0 = -5*x - 5*b + j - 65. What is the remainder when 157 is divided by x?
29
Let p(h) = -5*h**3 + 116*h**2 - 46*h + 544. Calculate the remainder when 50128 is divided by p(23).
13
Suppose -74*h + 328 = -33*h. Calculate the remainder when 175 is divided by h.
7
Let u = -2255 + 2276. Calculate the remainder when 76 is divided by u.
13
Let h = 44 - 40. Let n be (1 - h/8)*-114. Calculate the remainder when 38/n - 40/(-6) is divided by 4.
2
Let v(b) = -b**2 + 26*b + 688. What is the remainder when v(0) is divided by 176?
160
Let x(g) = 3*g. Let d be x(5). Let p(a) = 2*a - 9. Let f(z) = 124*z - 1. Calculate the remainder when f(1) is divided by p(d).
18
Suppose 6*y - 4*y = 10. Suppose l - 5*l + j = y, -5 = -2*l - j. Calculate the remainder when l + (40*1 - 0) is divided by 21.
19
Let v(s) = s**3 + 9*s**2 + 2*s - 1. Let k be v(-7). Suppose 0 = y - 3*t + 2*t - k, 5*y = 3*t + 415. Calculate the remainder when y is divided by 17.
15
Suppose 5*l = 6*l + 103. Let h = 109 + l. Calculate the remainder when 20 is divided by h.
2
Let l be 180/210 + 1360/(-35). Suppose -16 = -4*p, -3*u = -p - 40 - 124. Let n = u + l. What is the remainder when 70 is divided by n?
16
Suppose -3*d + 60 = 4*k - 4, 4*k = 3*d + 64. Let w = 18 + 135. Let f = 180 - w. What is the remainder when f is divided by k?
11
Let f(t) = -t**2 + 26*t + 75. Let p(s) = -s**3 + 8*s**2 - 9*s - 2. Let r be p(5). Calculate the remainder when 206 is divided by f(r).
16
Suppose -2*p + 292 = 4*r + p, p - 219 = -3*r. Let i = r - 33. Suppose -416 = -4*z - i. What is the remainder when z is divided by 12?
10
Suppose -160 = -f - m, 3*f + 480 = 6*f + 5*m. Suppose 2*k = -2*w + f, -k - 13*w + 15*w = -80. Calculate the remainder when k is divided by 45.
35
Let a(t) = -t**3 + 23*t**2 - 21*t - 14. Let y be a(22). Suppose 0 = y*g - 31 - 1161. What is the remainder when g is divided by 39?
32
Let w(p) = p**2 + 15*p + 109. Let f be w(19). Let s = -749 + f. What is the remainder when 62 is divided by s?
2
Suppose -491*p + 575*p = 6048. Calculate the remainder when 761 is divided by p.
41
Let n be (-1630)/(-40) - (-2)/(13 + -5). What is the remainder when n/(-3) + 13 - (-80)/3 is divided by 2/2*(12 + 2)?
12
Suppose 0 = 5*n + 7 - 812. Calculate the remainder when n is divided by (-2)/6 + 992/24.
38
Let g(t) be the first derivative of t**3 - 21*t**2/2 + 19*t - 102. What is the remainder when 166 is divided by g(8)?
37
Let d be (105/(-25) - -6)*-25. Calculate the remainder when 90 is divided by 92/3*(d/(-18) + -1).
44
Suppose 0 = -2*u + 5*j + 61, 3*j - j = -3*u + 44. Let h(f) = -f + 105. What is the remainder when h(u) is divided by 5?
2
Let j = 37 + -68. Let s be -3 - 35/(-5) - j. Suppose 0 = -s*m + 34*m + 40. What is the remainder when 154 is divided by m?
34
Let c be 11/(55/10)*16. Suppose j = 5*p - 80, 2*j = 2*p - 3*j - c. What is the remainder when 79 is divided by p?
15
Suppose 5*q + 3*c - 100 = 640, -579 = -4*q - 5*c. What is the remainder when q is divided by 3969/(-243)*(-6)/7?
11
Let w(f) = -649*f - 3. Let d be w(3). Let c(n) = 15*n - 86. What is the remainder when d/(-27) + (-4)/18 is divided by c(7)?
15
Let p(x) = -155*x - 11813. What is the remainder when p(-141) is divided by 314?
308
Let o = -144 - -121. Let g = o - -130. Calculate the remainder when g is divided by 3/(-21) - (-394)/14.
23
Suppose 208 = 115*n - 13592. What is the remainder when 478 is divided by n?
118
Suppose 106*s - 84*s - 154 = 0. Calculate the remainder when s is divided by 3.
1
Suppose 19*y + 33*y - 22620 = -122*y. Calculate the remainder when 1144 is divided by y.
104
Suppose -4*b + 5*i = -20, 4*b - 371*i = -372*i + 92. Suppose 27 = 3*q - 6. Calculate the remainder when b is divided by q.
9
Calculate the remainder when 751 is divided by (-10 - (-1 - 29))*(-76)/(-10).
143
Let u(z) = 5*z - 41. Let r = 71 + -59. Suppose 13*n - 9 = r*n. What is the remainder when 4 is divided by u(n)?
0
Let d(t) = t**2. Let a(x) = 4*x**2 + x + 7. Let l(q) = a(q) - 3*d(q). Suppose 0 = -80*b + 4538 - 3418. Calculate the remainder when l(-5) is divided by b.
13
Suppose 93*d = 89*d - 3*t + 2167, 2*t - 1082 = -2*d. Let m = 57 + -31. Calculate the remainder when d is divided by m.
24
Let x = -3465 + 3498. Calculate the remainder when 389 is divided by x.
26
Let b(d) be the first derivative of -7 - 6 + 4*d + 64*d**2 - 77*d**2. What is the remainder when b(-2) is divided by 19?
18
Let w(g) = 34*g - 29. Let u be w(4). Let v = u + -88. Suppose 5*z - 3*s = 377, -2*z - 4*s + 276 = 2*z. What is the remainder when z is divided by v?
16
Let u be (-5)/(-20) + (-105)/(-12). Suppose u*c + 22 = -5. Let p(d) = -2*d**3 - 5*d**2 - 2*d + 2. What is the remainder when p(c) is divided by 10?
7
Suppose 0 = -0*m + 2*m - 4*s - 22, 0 = -4*s. Let k(o) = 0*o - 151*o**3 + 152*o**3 - 1 - 4*o**2 - 3*o. Calculate the remainder when k(6) is divided by m.
9
Let c(j) = -2*j**3 + 50*j**2 + 534*j + 27. Calculate the remainder when 1348 is divided by c(33).
223
Suppose 96*a - 77989 = -71*a. Calculate the remainder when a is divided by 46.
7
Let p be (4 + (-100)/16)/((-3)/8). Suppose -4*a = 42 - 214. What is the remainder when a is divided by 2*(51/p + -1)?
13
Let x(s) = -29*s - 570. Let p be x(-20). Let i be 158/6 + 1/(-3). Suppose 0 = -4*y - 4*h + 6 + i, p = 5*h. Calculate the remainder when y is divided by 6.
0
Let q = 200 + -220. Let v(m) = -m**3 - 21*m**2 - 20*m + 28. What is the remainder when v(q) is divided by 14?
0
Let z = -852 - -852. Let x be (-128)/(-6) + (-1)/3. Suppose z = -g + x + 29. Calculate the remainder when g is divided by 13.
11
Let z(o) = -64*o - 1429. What is the remainder when z(-40) is divided by 126?
123
Let z(p) = -p**3 - 2*p + 3. Let j(x) = -2*x**2 + 12*x - 7. Let d be j(5). Let h be z(d). What is the remainder when 15 is divided by (45/(-25))/(9/h)?
3
Suppose 551025 = 14*o + 79*o. What is the remainder when o is divided by 26?
23
Let i = 2065 + -1812. Calculate the remainder when i is divided by 84.
1
Let f = -445 - -180. Let o = 419 + f. What is the remainder when o is divided by 45?
19
Suppose 0 = 2*r - 0*r - 64. Suppose -170*y = -174*y - 4, -2*y = k - 412. What is the remainder when k is divided by r?
30
Suppose -2*p + 72 = 5*a, 12 = -p - 2*a + 47. What is the remainder when 13980 is divided by p?
30
Let m(v) = 2*v**2 + 29*v - 55. Let x be m(-16). Let o(w) = w**3 + 11*w**2 + 24*w + 2. What is the remainder when 56 is divided by o(x)?
26
Suppose 16*u = 2192 + 2032. Suppose a - n - 147 = -0*n, 2*a = -4*n + u. Calculate the remainder when a is divided by 29.
26
Suppose -13*z = -17*z + 3*o + 9254, 0 = -2*z - o + 4612. What is the remainder when z is divided by 21?
20
Suppose -1268*l + 1339*l - 7029 = 0. What is the remainder when l is divided by 69?
30
Let m be ((-1470)/45)/((-1)/21). Let t = m - 673. Calculate the remainder when t is divided by 8.
5
Suppose 6*r = -4*h + 2*r + 172, 3*h + r - 137 = 0. Suppose c = -63 + 294. Calculate the remainder when c is divided by h.
43
Let o = 277 + -274. Suppose 0 = o*w + 3*l - 27 - 6, 0 = 2*w - l - 13. Calculate the remainder when w is divided by 3.
2
Let h(t) = 3*t + 19. Let v be h(-8). Let a(x) = x**3 + 3*x**2 - 17*x - 11. Calculate the remainder when 2 - (1 + -91 + 0) is divided by a(v).
20
Suppose -5*t + 0*t = -3*y + 3004, 0 = t - 5*y + 592. Let w = t - -994. What is the remainder when w is divided by 18?
14
Suppose 0 = 11*o - 38*o + 90109 + 86660. What is the remainder when o is divided by 50?
47
Suppose 0 = -4*g + 5*g - 7. Suppose 3*w - 132 = -3*u + g*w, -2*u - 2*w + 88 = 0. Calculate the remainder when 129 is divided by u + (-2)/(-10)*0.
41
Suppose 4*h - 5 - 3 = -2*n, -2*n = 5*h - 11. Suppose -4*q + 44 = 2*z - 40, -z + 4 = 0. What is the remainder when q is divided by h?
1
Let n(l) = -l**3 + 60*l**2 - 117*l + 130. What is the remainder when 286 is divided by n(58)?
70
Let t be ((-2)/3)/(92480/15414 - 6). Suppose 0 = 4*l + 737 - t. What is the remainder when l is divided by 46?
44
Suppose 