j(-6). Let r(x) = x**2 + 4*x - 1. Let h be r(l). Suppose -15 - 37 = -h*t. Calculate the remainder when 21 is divided by t.
8
Let i = 20013 + -12744. Calculate the remainder when i is divided by 72.
69
Suppose 747 = 27*s - 3031 - 2378. What is the remainder when s is divided by 8?
4
Let s be 8/20 + (-3)/(45/(-21954)). Suppose 10*c = s + 566. Calculate the remainder when c is divided by 6.
5
Let b be (-2 - 2)/(76/(-16) - -5). Let k = b - -37. Suppose 17 = v - 19. What is the remainder when v is divided by k?
15
Suppose m = 5, 3*m = -r + 5 + 12. Suppose 13 = 9*p - 6*p + 5*d, r*d = -2*p + 10. Let j(s) = 3*s**2 - 7*s + 1. What is the remainder when j(5) is divided by p?
5
Suppose 0 = -5*b + 3*t + 446 + 423, -7 = -t. Let a = 61 + -16. What is the remainder when b is divided by a?
43
Let v be 10/(-15) + 120/(-9). Let o = -108 - 4. Calculate the remainder when (-6)/v - 2528/o is divided by 6.
5
Suppose -i - 5*f + 206 = 0, i + 0*f - 166 = 5*f. Suppose 11*h - 2*h + 28*h - 777 = 0. What is the remainder when i is divided by h?
18
Let u be 9/(4 + -1) + (-70)/(-5). Let y(q) = q**2 - 18*q - 28. Let k be y(u). Let r = 19 - k. Calculate the remainder when r is divided by 22.
20
Suppose -10*a + 15*a + 5*g = 575, 2*a - 265 = 5*g. Calculate the remainder when a is divided by 19.
6
Suppose 0 = -11382*m + 11367*m + 630. Calculate the remainder when 2099 is divided by m.
41
Suppose 180 = 65*a - 63*a. Suppose -9*q = -a - 909. What is the remainder when q is divided by 24?
15
Calculate the remainder when 723 is divided by 69504/362 + (18/(-10) - (-1)/(-5)).
153
Let s = -35 - -40. Suppose -3*o = -3*g + 144, -s*o - 141 = -3*g - 3*o. Let h = -30 + g. Calculate the remainder when 57 is divided by h.
12
Suppose 4*m - 3*n - 131 = 0, 2*m - 34 = m + n. Suppose -827 = 3*r + 5*t, 4*r - 4*t + 1170 = 14. Let g = -140 - r. What is the remainder when g is divided by m?
28
Let k(v) = v**3 - 23*v**2 - 53*v + 1234. What is the remainder when 2051 is divided by k(23)?
11
Let k(y) = -2*y**3 - 6*y**2 - 65*y - 101. What is the remainder when k(-5) is divided by 161?
2
Let j = -4614 + 4666. What is the remainder when 331 is divided by j?
19
Suppose 71*z = 11*z + 4717 + 137963. What is the remainder when z is divided by 108?
2
Let g(a) = -18*a + 3075. What is the remainder when g(17) is divided by 121?
107
Suppose k = 4*c + 287, 0 = 3*k + 5*c - 7*c - 881. Calculate the remainder when 3832 is divided by k.
292
Suppose 3*r - 2*n - 10 = 0, -2*r + 5*n + 7 = r. Suppose -r*f = -5*h + 73, -16*h = -20*h - 2*f + 48. What is the remainder when 74 is divided by h?
9
Let n(o) = 24*o - 166. Let w be n(7). Suppose 0 = w*d - 10, 3*l - 9*d + 10*d - 149 = 0. Calculate the remainder when 381 is divided by l.
45
Let a be 7/2*(-43 + 21). Let k = 200 + a. What is the remainder when k is divided by 63?
60
Suppose 3*m - 75 = -4*r + 189, -4*m = -16. Let n = 154 - r. Let v = 263 - 232. What is the remainder when n is divided by v?
29
Let p(q) = 1148*q - 8430. What is the remainder when p(8) is divided by 25?
4
Let j(x) = -x**3 + 6*x**2 + 4*x + 16. Let w be j(7). Let b = 14 - w. Let y = 10 + 1. What is the remainder when b is divided by y?
8
Let o = -14 + 45. Suppose -16*x + 28*x = 1092. Calculate the remainder when x is divided by o.
29
Let u(d) = 5*d**2 - 2*d - 1. Calculate the remainder when u(-2) is divided by -4 - -2 - (-26 - (-46 - -26)).
3
Suppose 0 = w - 3*w. Suppose w = 2*t - o + 236, -4*t - 300 = -5*o + 160. Let v = 154 + t. What is the remainder when v is divided by 9?
7
Suppose -29*b + 870 + 500 = -341. Calculate the remainder when 210 is divided by b.
33
Let s(w) = w**2 - 26. Let z be s(5). What is the remainder when 0 + z/(5/(-1460)) is divided by 42?
40
Suppose 3*n + f - 547 = 811, 5*n - 2264 = -2*f. Calculate the remainder when n is divided by 112.
4
Suppose -4*z - 2*d = -2, 5*d + 0*d + 4 = -z. Let f be z*(-12)/(-3) - 16. Let w = f + 21. What is the remainder when 35 is divided by w?
8
Let w(n) = 5*n**2 + 965*n + 5794. What is the remainder when 3112 is divided by w(-6)?
168
Let f = -5 + 439. What is the remainder when f is divided by 219?
215
Let b(s) = -114*s**3 + 13*s**2 - 4*s - 94. Calculate the remainder when b(-3) is divided by 1551.
11
Suppose 18*c - 6*c = -204. Let l(f) = f**3 + 17*f**2 - 3*f + 8. What is the remainder when 234 is divided by l(c)?
57
Suppose -y + 567 = 2*x, -y = -3*x + 2*x + 285. Suppose -n + x = 187. What is the remainder when n is divided by 25?
22
Suppose -10688*s = -10682*s - 240. Calculate the remainder when 2357 is divided by s.
37
Suppose 1392 = 4*z - 2*i, -z - 6*i + 682 = z. Calculate the remainder when z is divided by 115.
2
Suppose 9*l - 10 = -l. What is the remainder when l/(-3)*-2*222/4 is divided by 15?
7
Let f be 3/(-2 - 1) - (-6 + 6). Calculate the remainder when 128/(-96) - 274*f/3 is divided by 31.
28
Let z(k) = 4*k - 28. Let c be z(-14). What is the remainder when c/(-70)*(-200)/(-3) is divided by (-14)/(-63) - 187/(-9)?
17
Let w(u) = -u**2 - 37*u - 71. Let y be w(-25). Suppose -20*d = -y - 91. What is the remainder when 221 is divided by d?
13
Suppose 5*r + 4*h - 1413 = 0, 534 = 2*r + h - 33. What is the remainder when 471 is divided by r?
186
Suppose 39*u - 46*u + 14 = 0. Suppose -3*a + 27 = 3*w, 4*a + u*w - 1 - 33 = 0. What is the remainder when 35 is divided by a?
3
Let r be ((-100)/15 - -6) + (-304)/(-6). Let b = r + -45. Suppose 2*x + 3*y - 64 = 0, 2*x - b = 2*y + 59. Calculate the remainder when x is divided by 17.
15
Suppose 0 = -4*u + 506 - 190. Calculate the remainder when 150 is divided by u.
71
Calculate the remainder when 719 is divided by 17696/(-224)*(1 + -1 - 1).
8
What is the remainder when (608895/14)/(-15)*1/2*-12 is divided by 150?
147
Suppose -x + 40 = 5*r, -4*x - 2*r = 12 - 118. Let k = 186 - 186. Suppose -2*n + 164 - 20 = k. What is the remainder when n is divided by x?
22
What is the remainder when 856 is divided by 4/6*(430 + -13 + (-120)/(-10))?
284
Let v(s) = -s**3 - 4*s + 17. Let b be v(2). What is the remainder when 77 is divided by (6 + 14)*b/2?
7
Suppose 2*t - 5*f = 4977, 50*t = 51*t + 4*f - 2482. What is the remainder when t is divided by 19?
16
Let v = -53 + 97. Let n(p) = -p**3 + 10*p**2 + 193*p - 1416. Calculate the remainder when n(7) is divided by v.
38
Let w = -8 + 7. Suppose 5*x = -5*d + 175, -x - 60 = -4*d + 75. What is the remainder when d is divided by w - (1 + -43)/2?
14
Suppose -78 = 5*z - z - 7*z. Calculate the remainder when 497 is divided by z.
3
Let l = -10911 - -11081. Let j = 84 - 40. Calculate the remainder when l is divided by j.
38
Suppose 0*u - 20 = -2*s + 4*u, 5*s - 41 = u. Suppose 13 = 9*f - s*f. Suppose 0 = 5*h - 176 - 4. What is the remainder when h is divided by f?
10
Let g = -28 - -28. Suppose -4*f - 188 + 400 = g. Calculate the remainder when f is divided by 16.
5
Let h(n) = -11*n + 47. What is the remainder when h(-3) is divided by 73?
7
Suppose 0 = -10*f - 2562 - 7538. Let l = 1083 + f. What is the remainder when l is divided by 23?
4
Let a = -313 - -384. Calculate the remainder when 399 is divided by a.
44
What is the remainder when 326 is divided by (-72)/(-16) - (-145)/10?
3
Let c be (66/(-12) - -4)*(-4 - 0). Suppose -c*w + 450 = 60. What is the remainder when w is divided by 14?
9
Let g(v) = 28*v**2 - 4*v + 3. Let z be (-212)/(-16) - 16/64. Suppose 5*y - 4*k = 56, 0 = -0*y - y - k + z. What is the remainder when g(2) is divided by y?
11
Suppose 0 = 3*v - 8*v + 1725. Suppose 5*r + 4*c = 1773, r + 0*c + 4*c - v = 0. What is the remainder when r is divided by 24?
21
Suppose -2224*f - 603 = -2233*f. Let a = 338 + f. What is the remainder when a is divided by 8?
5
Suppose -c + 207 = 2*f, -5*c + 383 = f - 634. Suppose 0*k + 434 = -7*k. Let t = -28 - k. Calculate the remainder when c is divided by t.
33
Let q = -15 + 28. Let z be (-11418)/(-14) - (-123)/287. Suppose 29*s = 13*s + z. Calculate the remainder when s is divided by q.
12
Suppose -3 = 4*z - 119. Let a = 18 + 62. Suppose 10*j + a = 18*j. What is the remainder when z is divided by j?
9
Suppose -111*t = -114*t + 36. Suppose v - 68 = t. Calculate the remainder when v is divided by 28.
24
Suppose -33323*b = -33317*b - 2508. What is the remainder when b is divided by 166?
86
Suppose 7*a + 70 = 1204. What is the remainder when 99 is divide