*k**2 + 37. Calculate the remainder when z is divided by x(4).
4
Let p be 2 - (-6)/(-9)*-21. Let f = 4 + p. Suppose -121*y + 9558 = -40*y. What is the remainder when y is divided by f?
18
Let g = -18 - 63. Let p be g/((-75)/(-42) + -2). Suppose 2*a + 3*f = 4*f + 153, -5*a + f + p = 0. Calculate the remainder when a is divided by 11.
9
Let m(h) = 52*h - 60. Let q be m(29). Suppose -3*o - o + 2*j + q = 0, -2*j + 1448 = 4*o. Calculate the remainder when o is divided by 92.
86
Suppose 0 = 37*q + 59*q - 26016. What is the remainder when q is divided by 72?
55
Let j = -869 - -976. What is the remainder when 377 is divided by j?
56
Let o be (1/(-1))/((2/654)/(-1)). Suppose -5*r + 0*r = i - o, -55 = -r + 5*i. Let l = -46 + r. Calculate the remainder when 34 is divided by l.
15
Let v = -6175 - -6289. What is the remainder when 4786 is divided by v?
112
Let n(s) = 2*s**3 - 3*s**2 - 47*s + 27. Calculate the remainder when n(7) is divided by 184.
53
Suppose -17*z = -22*z - 165. Let v = z + 95. What is the remainder when v is divided by 88/11*(-8)/(-2)?
30
Let v be ((-14)/(-6))/1 + (-1)/3. Suppose -3*f + 61 = -v*p - 18, 3*p - 70 = -2*f. Suppose 39 = 5*x + 8*x. Calculate the remainder when f is divided by x.
2
Let n(s) = 28*s + 5. Let l be n(-11). Let j = l - -368. What is the remainder when j is divided by 28?
9
Suppose -33*h + 60228 = 31*h - 52*h. Calculate the remainder when h is divided by 16.
11
Let b(w) = 20*w**2 - 29*w - 15. What is the remainder when 868 is divided by b(-1)?
18
Calculate the remainder when (-1362)/((12 + -16)*4/8) is divided by 63.
51
Suppose -100*p + 258 = -90*p - 72. Calculate the remainder when 710 is divided by p.
17
Let f = -7234 + 7261. What is the remainder when 1922 is divided by f?
5
Let h(u) = -55*u + 69. Let o be h(6). Let w = o + 386. What is the remainder when w is divided by 21?
20
Suppose 4*l - 3*r - 47 = 0, 9*r + 33 = 3*l + 6*r. Calculate the remainder when 32 is divided by l.
4
Let v = 8693 - 8670. Let x be (-1)/(-2) + (-35)/(-2). Let i = x + -1. What is the remainder when v is divided by i?
6
Suppose -4*j + 5*p + 516 = 0, 4*j - 52 = -4*p + 392. Calculate the remainder when j is divided by 27.
11
Let j(b) = -2*b - 19. Let z be j(-13). Suppose -2*i + 13 = -z. Let h = 44 - i. Calculate the remainder when 168 is divided by h.
32
Let v(b) be the second derivative of -b**4/12 - 5*b**3/3 + 4*b**2 - 89*b. What is the remainder when v(-5) is divided by 19?
14
Suppose 0 = -i + 9 + 4. Suppose 3*q + 462 = 3*d, -766 = -5*d - 0*q + 3*q. Suppose 93*o = 89*o + d. Calculate the remainder when o is divided by i.
12
Let t = -25 + 97. Suppose 84 = -t*g + 74*g. Calculate the remainder when g is divided by 11.
9
Let t(w) = 11*w - w - 6 - 22*w - 27*w. What is the remainder when t(-3) is divided by (-234)/(0 + -9) + 3/(-1)?
19
Let d be 165/(-6)*(-3 - (-23)/5). Let j = d - 131. Let g = -96 - j. What is the remainder when g is divided by 9?
7
Let i = -23 + 29. Let z(p) = 3 + 12*p + p**3 + 1 + 2 + 19*p**2 - i*p**2. Calculate the remainder when z(-6) is divided by 47.
45
Calculate the remainder when 992 is divided by (3936/48 - (-2)/((-4)/14)) + -1.
30
Let b = 36 + -30. What is the remainder when (-125)/(-50)*174/15 is divided by b?
5
Let a = 1283 - 649. Calculate the remainder when a is divided by 69.
13
Let f(a) = 3*a**2 + 6*a + 1. Suppose -2590 = 388656*h - 388915*h. Calculate the remainder when f(-5) is divided by h.
6
Let s = 72 + -54. Suppose 3*w - 24 = -s. Suppose -10 = -w*k + 114. Calculate the remainder when k is divided by 13.
10
Suppose 0 = 4*l - 8*l + 368. Let o(f) = -f**3 - 2*f**2 + 4*f - 9. Let u be o(-6). What is the remainder when l is divided by u/6 - -4 - (-3)/2?
20
Let x be 18315/51 + ((-159)/51 - -3). Let w = x - 330. What is the remainder when 40 is divided by w?
11
Let j(u) be the second derivative of -7*u**3/3 + u**2/2 + 6*u. Let k be -1*(-15)/(-6) - 12/(-8). What is the remainder when j(k) is divided by 2?
1
Let o(f) = f**2 - 12*f - 18. Let t be o(13). Let m be -3 - t/(20/84). Let q = m + -8. What is the remainder when 18 is divided by q?
8
Suppose -36*j + 2272 = 364. Calculate the remainder when 148 is divided by 54 - j - (-1 - 38).
28
Let u be (-19)/(-114) - (-35)/6. What is the remainder when 6/(-18) + 308/u is divided by 14?
9
Let i(x) = x**3 - 31*x**2 + 172*x - 74. What is the remainder when 17114 is divided by i(24)?
20
Let g = 632 + -632. Suppose l + 11*l - 324 = g. Calculate the remainder when 39 is divided by l.
12
Let s(h) = -h**2 + 30*h + 15. Let z(t) = 6*t + 7. What is the remainder when z(6) is divided by s(30)?
13
Let m(c) = -55*c + 905. What is the remainder when m(6) is divided by 74?
57
Let u be 304/(4 + 4) + (-1 - 1). Suppose -u + 702 = 2*h. What is the remainder when h is divided by 21?
18
Suppose 3*q = 5*l + q - 42, 2*q - 28 = -2*l. Let a(c) = 1248*c + 3771. Calculate the remainder when a(-3) is divided by l.
7
Let a(g) = -g + 0*g - 7 - g**3 - 3*g**2 + 4*g - 3*g**2. Suppose 0 = -155*t + 2892 + 25938. Calculate the remainder when t is divided by a(-7).
18
Suppose -3*a - 9 = 2*u, 0*a + 5*u - 3 = a. Let k(x) = -21*x - 28. What is the remainder when 101 is divided by k(a)?
31
Suppose 0*v - 7*v + 49 = 0. Suppose -v*q + 10 = -2*q. Suppose y = -o + 12, -q*o + 5*y + 42 = y. What is the remainder when 42 is divided by o?
12
Let c be 20/(-5) + (-5)/((-5)/388). Let r = c + -362. Let w = 28 - 15. What is the remainder when r is divided by w?
9
Let w(k) = -541*k**3 + k**2 - 60*k - 124. Calculate the remainder when w(-2) is divided by 13.
12
Let y be (-6)/(-3) + -6 + -8. Let k be ((-9)/y + 4/(-8))*8. Suppose -k*g = -3*t + 24, 32 = 4*t + 7*g - 2*g. Calculate the remainder when 31 is divided by t.
7
Let r be 48/(-51)*-457 - (-10)/(-85). Suppose -4*n = 5*q - 335, 5*n - 5*q = -0*n + r. Calculate the remainder when n is divided by 46.
39
Let c = 243 + -200. Let b = 18 + 42. Suppose -3*s = -b - 9. What is the remainder when c is divided by s?
20
Suppose 5*o + 4*t - 39 = 0, 5*t = o - 3 + 1. Let l = -990 - -1023. Suppose 52*h - 722 = l*h. Calculate the remainder when h is divided by o.
3
Suppose 79 = 4*m + 5*j, 50 = 4*m - 4*j - 38. Suppose -3*p + 9 = 0, -5*p + 22 = 5*k - 3. Suppose m = k*n - 13. Calculate the remainder when 49 is divided by n.
15
Let i(t) = -22*t - 297. Let w be i(-31). Suppose 388*r = w*r + 75. What is the remainder when 248 is divided by r?
23
Suppose -204*z + 252 = -15864. What is the remainder when 328 is divided by z?
12
Let l(y) = -y**3 - 3*y**2 - 3*y + 3. Let z = -47887 - -47977. What is the remainder when z is divided by l(-4)?
28
Let y(p) = -p + 11. Let t be y(9). Suppose 2*h = -8, -t*g - h - 100 = -6*g. Let a = 246 - 153. What is the remainder when a is divided by g?
21
Let q = -9710 - -9790. Calculate the remainder when 1028 is divided by q.
68
Let x = 11549 + -11494. Calculate the remainder when x is divided by 35.
20
Let f(v) = 3*v + 35. Let r be f(-13). Let d(q) = -17*q - 18. Calculate the remainder when 248 is divided by d(r).
48
Suppose -90*g - 2049 + 7928 = -781. What is the remainder when 1377 is divided by g?
45
Let d = 920 + -455. Let s = -459 + d. What is the remainder when 42 is divided by s?
0
Let q = 166 + -161. Suppose q*y - 5*k + 4*k - 63 = 0, -3*k + 3 = y. Calculate the remainder when 94 is divided by y.
10
Let f = 749 - 674. Suppose -5*s = -6 - 54. Suppose s*y - 20 = 11*y. Calculate the remainder when f is divided by y.
15
Let v = -3490 + 4150. What is the remainder when v is divided by 164?
4
Suppose 5*g + 6*g - 592 = -5*g. Calculate the remainder when 1142 is divided by g.
32
Let v(c) = -38*c**3 - 3*c**2 - 10*c + 174. What is the remainder when v(-5) is divided by 57?
54
Suppose -55*g + 2322 = 12. What is the remainder when 1*(83 + (0 - -2)) is divided by g?
1
Suppose 6*w + 99 - 153 = 0. Let y(c) = -c**2 - 12*c - 9. Let k be y(-12). Calculate the remainder when k/(-2 + (-13)/(-8)) is divided by w.
6
Suppose -3*q - 27 = -315. Let c = q - -13. What is the remainder when c is divided by ((-144)/27)/4*(0 + -21)?
25
Let t be -1*(-9 - -8) + (-149 - -1). Calculate the remainder when (84/t)/(8/(-420)) is divided by 17.
13
What is the remainder when (-1)/(25 - (-401652)/(-16066)) is divided by 2675?
8
Let y = -2388 + 3478. What is the remainder when y is divided by 65?
50
Let k(