192*i + 1802. Let a(m) = 140*m + 37. What is the remainder when a(5) is divided by n(-10)?
81
What is the remainder when 11 + (-17 - -8) + 19 is divided by 7?
0
Suppose -12*j - 25 = -17*j. Let w = j - -13. What is the remainder when 56 is divided by w?
2
Suppose -2*h + 26 - 6 = 0. Suppose -6458 + 7130 = 16*w. What is the remainder when w is divided by h?
2
Suppose 5 = -8*d - 27. Let v(l) = -3*l - 2. Let q be v(d). Suppose f = 23 + q. Calculate the remainder when f is divided by 9.
6
Let j(w) = 2*w**2 + 36*w - 2. Calculate the remainder when j(-20) is divided by 58.
20
Let b = 176 + -116. Let z(c) = -2*c**2 - 17*c + 22. Suppose 8*t = 3*t + 5*p - 30, -p = -3*t - 24. What is the remainder when b is divided by z(t)?
8
Suppose -2166*b = -2162*b - 732. Calculate the remainder when b is divided by 24.
15
Suppose k + 1104 = 7*k. Let v(r) = 4*r - 1. Let z be v(1). Suppose -5*g = z*g - k. Calculate the remainder when 67 is divided by g.
21
Let j(q) = 130*q**2 - q + 1. Let a be (4 + 119/14)*6. Suppose 6 = b + 2*x, 5*b = -0*b + 5*x + a. What is the remainder when j(1) is divided by b?
10
Suppose 27*g - s - 11 = 32*g, 5*s - 35 = 5*g. What is the remainder when 220 is divided by (-37)/g - (-150)/225?
12
Let m be (-2)/(-14) + -365*6/(-105). Suppose -m + 112 = 7*h. What is the remainder when 150 is divided by h?
7
Suppose -2*x - 184 = -5*x - 2*b, b + 285 = 5*x. Let n be ((-171)/(-9))/(28/10 - 3). Let y = 115 + n. What is the remainder when x is divided by y?
18
Let d(s) = -s**3 - 36*s**2 + 3*s + 48. Let i be d(-36). What is the remainder when 43 is divided by 3 + 12 - i/(-15)?
10
Suppose -46*z + 204 = -34*z. Calculate the remainder when 232 is divided by z.
11
Suppose 18 = 15*y - 672. Suppose 0 = -4*u - 5*v + 108, 0 = 2*u + 3*v + 28 - 84. What is the remainder when y is divided by u?
2
Suppose 3*v - 188 = -5*z + 2, -z - 4*v + 55 = 0. What is the remainder when 189 is divided by z?
14
Let m(f) = -f**2 + 4*f + 76. Let c be m(9). Let l = 18 + c. Calculate the remainder when 391 is divided by l.
48
Suppose 4*h = -3*q - 5 - 3, q = -5*h - 21. Suppose -q*w + 72 = -w. What is the remainder when (-428)/(-6) - (56/(-21))/(-2) is divided by w?
22
Suppose 0 = 5*o - 35, -10*o + 129 = n - 9*o. What is the remainder when 1102 is divided by n?
4
Let d(r) = 154*r**2 + 12*r - 17. Let q be d(2). Let m = q + -569. Calculate the remainder when m is divided by 10.
4
Suppose -3*u + 3 = 0, 4*j + 27*u = 23*u + 264. What is the remainder when 80 is divided by j?
15
Let h = 1190 - 1131. Calculate the remainder when 875 is divided by h.
49
Let v = -5 - -8. Suppose -v*j + 8*j = 25. Suppose 83 - j = 6*g. What is the remainder when 24 is divided by g?
11
Suppose 627*x - 669*x = -22344. What is the remainder when x is divided by 107?
104
Suppose -12 = 2*p, -42*k - 546 = -45*k - 2*p. What is the remainder when 1111 is divided by k?
181
Suppose 6 = 4*i - 10. Suppose 4*f + 4*j - 16 = 0, -5*f + 18 = 2*j - 8. Calculate the remainder when (-1 + (-9)/f)*(-68)/10 is divided by i.
1
Let o = -380 - -687. Let m = o + -17. Suppose 5*f + m = 10*f. Calculate the remainder when 229 is divided by f.
55
Let m(f) = 5*f**2 + 17*f + 1. Let t be m(-3). Calculate the remainder when t - -10 - 2 - -31 is divided by 11.
1
Let u(g) = 77*g - 7565. Calculate the remainder when u(141) is divided by 21.
16
Suppose -744 = -5*c - 4*b - 24, 0 = -3*c - b + 425. Let q = -1979 - -1997. What is the remainder when c is divided by q?
14
Suppose -5*k = 5*g + 15, 5*g - 3*k - 24 = 1. Suppose -2*x + 3*a = -37, 0*x + g*x - 5*a = 39. Calculate the remainder when 662 is divided by x.
16
Let f(d) = -2*d**3 + 27*d**2 + 48*d - 15. Let q be f(15). What is the remainder when 174 is divided by (80 - q) + (-4)/(12/15)?
39
Suppose -2*b = -3*b + 87. Let p(j) = j**2 + 6*j + 11. Let o be p(-6). Suppose -o*c - b = -14*c. Calculate the remainder when 142 is divided by c.
26
Suppose -4*o - 353 + 287 + 822 = 0. Calculate the remainder when 387 is divided by o.
9
Let k = -675 - -969. What is the remainder when k is divided by 77?
63
Let o be (-2 + -22)*(-3)/2*1. Let l = 126 - o. Suppose -5*m + 45 = -l. What is the remainder when m is divided by 15?
12
Let f = -6793 + 6892. Calculate the remainder when 234 is divided by f.
36
Calculate the remainder when (3 - 30/9)/((-2)/6)*8078 is divided by 20.
18
Suppose 0 = -21*n + 445 + 229 + 712. Calculate the remainder when 1647 is divided by n.
63
Let m = 117 - 73. Let z(u) be the third derivative of -7*u**4/12 + 20*u**3/3 - 138*u**2. What is the remainder when m is divided by z(2)?
8
Suppose -21*f - 5*f = 0. Suppose -23*p - 345 + 1840 = f. Calculate the remainder when p is divided by 23.
19
Suppose 14*b - 12*b - 3*k - 1539 = 0, -3*k = -5*b + 3861. Calculate the remainder when b is divided by 366.
42
Let h = 6277 - 6218. What is the remainder when 880 is divided by h?
54
What is the remainder when 1002 is divided by -12 - 444/(-18)*9?
162
Suppose 19531 + 557 = 36*u + 18*u. What is the remainder when u is divided by 76?
68
Suppose -2*q = 5*k - 15734, -5*q + 1397 = -2*k + 7708. What is the remainder when k is divided by 75?
73
Let y(n) = -n**3 + 25*n**2 - 23*n - 21. Let z be y(24). Suppose 4*q - 14 = -z*w + 21, w - 30 = -5*q. What is the remainder when 19 is divided by w?
4
Let z(a) = -13*a**3 - 12*a**2 - 27*a - 12. What is the remainder when z(-3) is divided by 19?
8
Suppose -6*b = -7*b + 26. Let m = 17 - b. Calculate the remainder when 1/(-3)*1242/m is divided by 16.
14
Let z be 44 - (-2 + 12/4). Suppose j - 3*p = -j + z, 0 = 2*j + 2*p - 58. Calculate the remainder when j is divided by (4*3/12)/((-2)/(-28)).
12
Let m(i) = -i**3 - 2*i**2 - 2*i - 3. Let y be ((-9)/6)/(1/2). Let a = -1689 - -1694. Calculate the remainder when m(y) is divided by a.
2
Suppose p - 15 = 31. Calculate the remainder when p is divided by 6/16*-6*(-2160)/324 + 1.
14
Let p = 66 - 42. Suppose 78 = -2*o + 34. What is the remainder when 1*91/2 + (-11)/o is divided by p?
22
Suppose -13 + 6 = -o. Let g(p) = p + 60. What is the remainder when g(13) is divided by 179/o - (-4)/(-7)?
23
Let g = 0 + 2. Let t = 6 - g. Let x = -6855 - -6879. What is the remainder when x is divided by t?
0
Let a(g) = -3*g**2 - 81*g - 63. Let t be a(-26). Suppose 71 = 4*s + y, -3*s + 3*y + t = -27. Calculate the remainder when 152 is divided by s.
16
Suppose -h - 1 = 0, 29*z + 4*h = 25*z + 4308. Calculate the remainder when z is divided by 36.
34
Let x(a) = -a**3 + 23*a**2 + 106*a + 61. Let q be ((-2)/(-1))/((-4)/(-2)). Calculate the remainder when x(27) is divided by (q + 1)/(2/3).
1
Let w = 3841 + -3786. What is the remainder when 1098 is divided by w?
53
Calculate the remainder when 1362 is divided by 23 + (89 - (-99)/(-9)).
49
Calculate the remainder when -111*34/6*(-61 + 60) is divided by 92.
77
Let v(u) = -9*u**3 + u**2 - 7*u - 9. Calculate the remainder when 15782 is divided by v(-1).
6
Let s = -53 + -336. Let t = s + 395. Calculate the remainder when 119 is divided by t.
5
Suppose 3*c + 5*d + 25 = 0, -c + 0*c - d - 5 = 0. Let l = 123 + -123. Suppose z + a - 3 = l, -2*z + c*z + 8 = a. What is the remainder when 33 is divided by z?
3
Let w(p) = 38*p**2 - 47 - 69 - 57 + 15 - p**3 + 5*p. What is the remainder when 1661 is divided by w(38)?
29
Let j be 2*15/20*2. Suppose -5*v - 680 = -2*y - j*y, 4*y = -3*v + 572. Suppose -3*k - y = -8*k. Calculate the remainder when k is divided by 8.
4
Let u be (18/27)/(2/12). Suppose 0 = 5*t - u*i - 150 - 124, -2*t - 4*i + 104 = 0. Calculate the remainder when t is divided by 19.
16
Suppose 2*o - 127 = 37. Suppose -6*x = -0*x - 18. Suppose -146 = -5*a - x*n, 2*a - 28 = 2*n + 24. What is the remainder when o is divided by a?
26
Let b = -222962 + 222984. Let h(v) = -5*v**3 + 6*v**2 + v - 4*v**2 + 0*v. What is the remainder when b is divided by h(-1)?
4
Let b(j) = 56*j + 48. Let r be b(-10). Let t = r + 813. What is the remainder when t is divided by 38?
35
Let p(m) = 2*m - m**2 - 1 - m**2 - m**2 + 4*m**2. Suppose 14*f + 2*f = 320. What is the remainder when f is divided by p(2)?
6
Let f be 3 + (-5 - -5) + -21*7. Let m = f - -246. Calculate the remainder when m is divided by 24.
6
Let n be 100/(-7) - 2/(-7). Let u = 14 + n. Suppose u = -2*m + 3 + 61. Calculate the remainder when m is divided by 18.
14
Suppose -5*z + h = -3*h - 11