 -6 = 5*t - 26. Suppose l*w = -t*z + 69, 0 = 4*z - z + 12. What is the remainder when 65 is divided by w?
14
Suppose -5*c + 8 = -207. Let l = c - 25. Suppose x - 3*v = 1 + 18, -l = -3*x - 4*v. What is the remainder when 11 is divided by x?
1
Let r = 3360 - 3344. What is the remainder when 461 is divided by r?
13
Let f be ((-1)/1 - (-6 + 6)) + 134. Suppose -2*x = -f - 87. Calculate the remainder when x is divided by 14.
12
Suppose -21 = -0*d - 7*d. Calculate the remainder when 2/d*(530 - 11) is divided by 50.
46
Let u be 27 - (-4 - (4 - 4)/(-3)). Suppose -2*t + u = -0*t + 3*j, -48 = -3*t - 4*j. Calculate the remainder when 139 is divided by t.
19
Let v = 3074 - 2815. Calculate the remainder when v is divided by 216.
43
Let u = 7338 - 7288. What is the remainder when 115 is divided by u?
15
Let n(f) = -f + 6. Let y be n(6). Let i(h) be the first derivative of h**4/4 + h**3 + 5*h + 92. What is the remainder when 18 is divided by i(y)?
3
Let v(z) = z**2 + 20*z - 73. Let u be v(-11). Let h = 261 + u. Let k(m) = m**3 + 7*m**2 + 6*m - 7. Calculate the remainder when h is divided by k(-5).
11
Suppose -860 = -10*g + 680. What is the remainder when g is divided by 26?
24
Let o be (-24)/(-11) - (-34)/(-187). Suppose 3*y + o*r = 107, 0 = -5*y - 5*r + 199 - 19. What is the remainder when 629 is divided by y?
34
Let v = -5730 - -6484. What is the remainder when v is divided by 59?
46
Suppose 4*p = -137 + 485. Suppose 37 = i + a, 3*i = -0*a + 3*a + p. Calculate the remainder when i is divided by 19.
14
Suppose -4*c + 10 = -2*s, 131*c + 5*s = 135*c - 1. What is the remainder when 934 is divided by c?
2
Suppose -4*a + r = -1493, -154*a + 159*a - 5*r - 1870 = 0. Let l = 180 + -86. What is the remainder when a is divided by l?
91
Let a(k) = 6*k**2 - 361*k + 138. What is the remainder when 7953 is divided by a(60)?
75
Let g(h) = -59*h - 737. What is the remainder when 393 is divided by g(-14)?
37
Suppose 9*a = -75*a + 3948. What is the remainder when 560 is divided by a?
43
Suppose 759 = 5*d - 4*w, 0 = 2*d - 6*d - 5*w + 640. Suppose d = r + 37. What is the remainder when r is divided by 24?
22
Let g = -258 - -268. Let y = 1776 - 1755. Calculate the remainder when y is divided by g.
1
Let m(d) = -d**3 - 11*d**2 + 3*d - 16. Suppose 303*y - 300*y - 57 = 0. What is the remainder when m(-12) is divided by y?
16
Let p(k) = -k**3 - 9*k**2 - 7*k + 11. Let v be p(-8). Suppose -2*j = -41 + v. Let x(c) = -c**2 + 30*c - 70. What is the remainder when j is divided by x(27)?
8
Suppose 449 = 39*f - 136. Let r(h) = 5*h**3 - 7*h**2 + 5*h - 4. Let b be r(4). Suppose 0 = -2*z - 2*z + b. Calculate the remainder when z is divided by f.
11
Suppose -10 = -2*a - 0*a + v, -10 = -2*a + 4*v. Suppose -a*g + 77 - 2 = 0. What is the remainder when g is divided by 9?
6
What is the remainder when (-133 - -121) + 139/1 is divided by 16?
15
Suppose -17*c - 12390 = -2*c - 45*c. What is the remainder when c is divided by 213?
200
Let w be (-113)/7 + (-8)/(-56). Let i be 10/125*-5 - 9/15. Let j = i - w. Calculate the remainder when 59 is divided by j.
14
Suppose -2*w - 30 + 44 = 0. Suppose -w = -2*f + 5. Calculate the remainder when ((-4)/(-2))/((-2)/(-22)) is divided by f.
4
Let s = -163 + 98. Let a = -57 - s. Calculate the remainder when 36*(22/a + -1) is divided by 33.
30
Suppose 2*a + a + 3*t = -15, -4693*t = -4694*t - 11. Let c be 0 - 2 - (-1 - -2). Calculate the remainder when 356/6 - (-1)/c is divided by a.
5
Suppose 16*f = 6*f + 80. Suppose 0*u - 2*u = -f. Suppose u*i = 9*i - 35. What is the remainder when 33 is divided by i?
5
Suppose 0 = -4*p + 14 - 22, -4*d + p = -58. What is the remainder when 51 is divided by d?
9
Let b(i) = i**2 + 63*i + 361. What is the remainder when 373 is divided by b(-6)?
12
Suppose 0 = 591*r - 467*r - 6324. Suppose 4*h - 3*w = 99, -4*w + 46 = h - 9*w. What is the remainder when r is divided by h?
9
Let y = -37 - -6. Let r = -19 - y. Suppose -t - r = -28. Calculate the remainder when 47 is divided by t.
15
Let q(m) = 9*m**2 + 56*m - 115. What is the remainder when 6107 is divided by q(-8)?
10
Let m = -1408 - -2077. Let i = -647 + m. Calculate the remainder when 38 is divided by i.
16
Let m(t) = 4*t**2 + 43*t - 89. Calculate the remainder when 40 is divided by m(2).
1
Let a = -71 - -85. Let r be 247/(-133) + (-2)/a. Let t(y) = 3*y**2 - 4*y - 4. Calculate the remainder when 26 is divided by t(r).
10
Suppose 2*s - 10 = 18. Suppose 2*v = -u + v, 0 = -5*u + 2*v. Suppose u*f + 424 = 8*f. What is the remainder when f is divided by s?
11
Suppose 0 = -2*c + 2*k + 814, 5*k - 486 = c - 885. Calculate the remainder when c is divided by 364.
45
Let r = -81 - -85. Let x(z) = z**2 - 6*z + 12. Suppose 3*a - 5*b + 10 = 0, 4*a = 5*b - 5 - 0. What is the remainder when x(a) is divided by r?
3
Let n = 1037 + -596. Suppose 49*j - n = 28*j. What is the remainder when 57 is divided by j?
15
Suppose -5*m + 3*b - 3 = 27, -b + 4 = -m. Suppose -4*w = -12 - 100. What is the remainder when w is divided by 14 + -27*(-3)/m?
3
Let j = 144 + -236. Calculate the remainder when 82 is divided by j/230 - ((-274)/10 - -2).
7
Suppose -5*i + 461 = -j, 8*j + 4 = 9*j. What is the remainder when i is divided by 91?
2
Suppose c = 8*c. Suppose -8*z + 122 + 174 = c. Suppose z = f + 19. What is the remainder when 50 is divided by f?
14
Let d be ((-16)/16)/((-1)/(-2)) + -29. Let n = 21 - d. What is the remainder when n is divided by 524/18 + (-5)/45?
23
Suppose 4*n + 4*x - 800 = 0, -2*x + x = 3. Suppose 0 = -s - l - 4*l - 220, 3*s + 715 = -4*l. What is the remainder when n is divided by s/(-6) - (-5)/30?
39
Suppose -6 = -3*t, -3*g + 3 = 3*t - 6*t. Suppose g = 3*c - 6. Suppose 6*i - 88 + 28 = 0. What is the remainder when i is divided by c?
1
Suppose -11*s + 19306 + 7248 = 0. Calculate the remainder when s is divided by 86.
6
Let g be (-3 - 1)*(-18)/36 - -1. Suppose -g*x = -2*o + 123, 0*o - o - x = -59. Calculate the remainder when o is divided by 8.
4
Suppose u + 358*y - 356*y = 207, -4*y + 1029 = 5*u. Calculate the remainder when 1383 is divided by u.
153
Suppose 173 - 47 = 3*v. Let x = -699 - -708. What is the remainder when v is divided by x?
6
Let o(k) = -2*k**2 - 184*k - 565. Calculate the remainder when o(-84) is divided by 72.
59
Let t(d) = -158*d - 1429. What is the remainder when t(-10) is divided by 5?
1
Let p = 637 + -608. Let q be (-17)/3*81/(-9). Suppose r - q = 5. Calculate the remainder when r is divided by p.
27
Let x(m) = -m**3 - m**2 - 3. Let c be (26/(-3))/(-2) - (-5)/(-15). Suppose 11*j + c*j = 120. Calculate the remainder when x(-4) is divided by j.
5
Suppose 4*t = -5*g + 3*t + 90, g = -5*t + 42. Suppose -4*m + 45 = -3*l, 14*l - g*l = -m. What is the remainder when m is divided by 7?
1
Let w be ((-12)/8 + 2)/((-2)/(-524)). Let n = -66 + w. Calculate the remainder when 114 is divided by n.
49
Let z(o) = -2*o**3 - 36*o**2 + 35*o - 28. Let h be z(-19). Suppose -n - h = 5*m - 104, 2*m = 4*n - 190. What is the remainder when n is divided by 13?
11
Let m be (-3 + 30/9)*669. Suppose 6*q - m = 251. Calculate the remainder when 149 is divided by q.
70
Suppose -4*m = 4*b + 1024 - 1972, 4*m = 5*b + 939. What is the remainder when m is divided by 97?
42
Let v(u) = 2*u - 10. Let s be v(10). Suppose s*w + 50 = 5*w. Calculate the remainder when 158 is divided by (-4)/w + (-2528)/(-80).
30
Let k be 90/30*2/(-6). Calculate the remainder when (-1)/(k/(-6)) + 180 is divided by 37.
26
Let q(y) = -y**2 - 127*y + 92. Calculate the remainder when q(-53) is divided by 60.
54
Suppose 38*r = 1340 - 238. What is the remainder when 2493 is divided by r?
28
Suppose -15*f + 47*f + 1440 = 0. Let t(a) = -a**2 - 50*a - 220. What is the remainder when 49 is divided by t(f)?
4
Let j = -92 - -60. Let n be (105/14)/((-6)/j). Suppose 0 = -3*s + 7*s - 5*f - n, -6 = -2*s - f. What is the remainder when 32 is divided by s?
2
Suppose 8*z + 2478 = 22*z. Let w(g) = g + 4. Let s be w(-8). What is the remainder when z is divided by ((-30)/s)/(5/30)?
42
Let x(b) = 4*b**2 - 11*b + 40. Let m be -14 - (23/(-7) - 12/(-42)). Calculate the remainder when x(m) is divided by 38.
37
Suppose 11 = -7*d + 68 + 76. Calculate the remainder when 52 is divided by d.
14
Let l(v) be the first derivative of 9*v**2/2 + 40*v + 2. Calculate the remainde