ulate the remainder when 106 is divided by (0 - (-2 + -52))*a/(-4).
25
Suppose a = r + 9084, 15*a + 5*r = 10*a + 45430. Calculate the remainder when a is divided by 32.
29
Let m(q) = -q**3 - 10*q**2 + 29*q + 446. What is the remainder when m(-9) is divided by ((-2 - -1) + 2)*5?
4
Let d(m) = -m**3 - 9*m**2 - 22*m + 12. Suppose -17*w + 14 = -19*w. Let j be d(w). Let c = 157 - j. Calculate the remainder when c is divided by 9.
8
Let y = 79184 - 79144. Suppose 0 = -3*u + 205 + 26. Calculate the remainder when u is divided by y.
37
Suppose -846*h = -818*h - 1708. What is the remainder when 4507 is divided by h?
54
Let a(p) = 3*p**2 + 37*p + 84. What is the remainder when 1454 is divided by a(-10)?
12
Let j(b) = 6*b**3 - 532*b**2 - 179*b + 202. What is the remainder when 1461 is divided by j(89)?
105
Suppose -28*i = -149 - 12731. Let j = -331 + i. Calculate the remainder when j is divided by 38.
15
Let x = 5221 - 5206. Calculate the remainder when 1378 is divided by x.
13
Let z be ((-12)/(-9))/((-28)/(-294)). Suppose -131 = -z*b + 261. What is the remainder when b is divided by 3?
1
Let u = 437 - 933. Let r = -273 - u. Calculate the remainder when r is divided by 45.
43
Suppose -121 = -9*v - 2*v. Let s(w) = 22 - 2*w**2 - w**2 - 26 + w**3 - 8*w + 2*w. What is the remainder when s(5) is divided by v?
5
Suppose -5*i - 648 + 697 = s, -s = -5*i + 41. What is the remainder when 2481 is divided by i?
6
Let j(b) = 2*b**2 + 168*b - 609. What is the remainder when 339 is divided by j(-88)?
54
Let u(v) = v**2 - v + 15. Let d = 919 - 879. Calculate the remainder when u(9) is divided by d.
7
Let d = -3373 + 3410. Calculate the remainder when 53 is divided by d.
16
Let l(i) = i**2 + i - 8. Let a be l(-4). Suppose -g = 5*s - 37, 0*s + 5*g = 2*s - a. Calculate the remainder when ((-8)/(-2))/4 - -25 is divided by s.
5
Suppose 6*q - 5 = 13. Let t(c) = 1. Let k(g) = -2*g + 31. Let l(f) = -k(f) - 4*t(f). Calculate the remainder when l(19) is divided by q.
0
Suppose 0 = 55*t - 27*t - 140. What is the remainder when 30 is divided by t?
0
Calculate the remainder when -14 + 11/(-33)*-1914 is divided by 73.
40
Let q be (-48)/18 - 2/(-3). Suppose -5*z + 2*b = -81, -z - 4*z = 2*b - 89. What is the remainder when 4 - (-22 + -7 - (q + 1)) is divided by z?
15
Let y be 23 - (1 - 5)*(-6)/8. Suppose 50*a - 51*a + y = 0. Calculate the remainder when 38 is divided by a.
18
Let o(c) = 93*c + 2. Calculate the remainder when o(2) is divided by 206/20 + (-3366)/11220.
8
Let h = 19964 + -19952. Calculate the remainder when 107 is divided by h.
11
Suppose -3*d - 5*n + 103 = -0*n, -3*d + n = -91. Calculate the remainder when d is divided by (-13 + 975/26)/((-42)/(-24)).
3
Let n be 5646/(-15) + (-4 - 44/(-10)). Let w = 450 + n. What is the remainder when 288 is divided by w?
66
Let f = -171 + 1332. What is the remainder when f is divided by 7?
6
Let n = 69 + -35. Let p(s) = 4*s - 29. Let y be p(8). Suppose 2*o - 34 = 7*z - y*z, -o - 5*z - 11 = 0. Calculate the remainder when n is divided by o.
7
Let f = -10 + 4. Let z be 860/54 - ((-380)/27 + 14). Let m = f + z. Calculate the remainder when m is divided by 2.
0
Suppose -22*o + 860 = -4486. Calculate the remainder when o is divided by 104.
35
Suppose -51*t - 37*t = -66*t - 528. Suppose -364 = -5*f - 4*x - 23, 4*f = -4*x + 272. Calculate the remainder when f is divided by t.
21
Suppose 3*v = 4*c + 257, -4*c - 415 = 20*v - 25*v. What is the remainder when 160 is divided by v?
2
Let v(i) = 37*i - 70*i - 41 + 36*i + 18*i**2 - i**3. Calculate the remainder when 295 is divided by v(18).
9
Let d = -663 + 765. Calculate the remainder when 174 is divided by d.
72
Suppose -5*t - 5*i + 480 = 0, 4*t + 37*i - 40*i - 377 = 0. What is the remainder when 1405 is divided by t?
75
Suppose 0 = 4*g - 36 + 264. Calculate the remainder when 34 is divided by (-5 - -4)/(3 + 174/g).
15
Suppose -919 - 1094 = -767*b + 734*b. Calculate the remainder when 78 is divided by b.
17
Suppose -4*i + 216 = -5*z, 8*z + 3*i + 148 = 4*z. What is the remainder when 141 is divided by (-9 - -1)/(z/200)?
21
Suppose 127*f - 471754 = -117805. Calculate the remainder when f is divided by 17.
16
Suppose -3*z = -2*y + 2968, 5*y + 2933 = -19*z + 16*z. Let s = z + 1017. What is the remainder when 212 is divided by s?
26
Suppose -5*q - 60 = 10*q. Let t(i) = 32*i**2 + 8*i + 26. Let d be t(q). Suppose 3*c - 26*c + d = 0. What is the remainder when 108 is divided by c?
20
Suppose -32*m + 1803 + 3362 = 429. What is the remainder when m is divided by 20?
8
Let g be 5/(20/(-12)) + 3. Suppose a + 12 - 51 = g. Suppose 3*n - 20 = 2*n. What is the remainder when a is divided by n?
19
Suppose 41*w + 26*w = 2948. What is the remainder when 612/2 - (-1 + 1) is divided by w?
42
Suppose 48*c + 160 = 64*c. Suppose 3*i - 11*m = -c*m + 34, i = 4*m + 26. What is the remainder when 688 is divided by i?
8
Suppose 2*d + 754 = 3*v, -1265 = 14*v - 19*v + 5*d. Let f = -232 + v. What is the remainder when 73 is divided by f?
9
Let o = 10005 - 9588. What is the remainder when o is divided by 102?
9
Suppose d - 49 = -2*w, -4*w + 54 - 274 = -4*d. Suppose 160 = 5*t - 115. Suppose o - t = -4*o. What is the remainder when d is divided by o?
9
Let n = 15763 + -15715. What is the remainder when n is divided by (-104)/(-6) - 2/(-3)?
12
Suppose 46*m - 2828 = -156*m. What is the remainder when 3983 is divided by m?
7
Let b(t) = 88*t**2 - 37*t - 37. Calculate the remainder when b(-1) is divided by 63.
25
Suppose 3*f = 4*o + 570, -972 = -5*f - 22*o + 25*o. Suppose g + 2*g - 5*l - 10 = 0, -5*g - 2*l + 58 = 0. What is the remainder when f is divided by g?
8
Suppose -i = 99*n - 96*n - 85, 0 = -2*i + 2*n + 194. What is the remainder when 560 is divided by i?
90
Let o(q) = 3*q**2 - 17*q - 5. Let g be o(6). Suppose -5*p + 6 - g = 0, -3*u + 166 = p. What is the remainder when 161 is divided by u?
51
Suppose -5*j + 20 = 0, -2*a + 11*j = 15*j - 174. What is the remainder when a is divided by 38?
3
What is the remainder when (-3)/4 - (-10)/(920/86641) is divided by 303?
32
What is the remainder when 600 is divided by 68 + (-3 + (6 - 3) - -8)?
68
Let q = 80 - 72. Suppose -579 = -4*c + 5*h, -5*h = 3*c + 80 - 488. Calculate the remainder when c/(0 + 2 - -1) is divided by q.
7
Let p(z) = -2*z - 15. Let l be p(-10). Suppose -5*d = l*s - 100, -46 = -2*d + 3*s + s. What is the remainder when d is divided by ((-15)/6)/(15/(-36))?
3
Let p(v) = -v**2 - 28*v - 27. Let h be p(-27). Suppose h = y + 2*t - 19, -3*t = 9*y - 7*y - 43. Calculate the remainder when 152 is divided by y.
7
Calculate the remainder when 15 - 504/33 - 1260/(-22) is divided by 1.
0
Let h = 19 + 9. Suppose 8 + 128 = 2*t. Suppose 0 = -t*d + 65*d + 18. Calculate the remainder when h is divided by d.
4
Let r(u) = 3*u**3 + 15*u**2 - 10*u - 42. What is the remainder when 2158 is divided by r(-4)?
42
Suppose -532 = -47*f + 737. Suppose 2*x - 25 = f. Calculate the remainder when 48 is divided by x.
22
Suppose -6*l + 5*l = t - 5, 0 = -5*t - 15. Let x(o) = 32*o**3 - 4*o**2 - 952*o + 1925. What is the remainder when x(2) is divided by l?
5
Suppose 23 = -2*c - 5*f, 0*c + 11 = -4*c - 3*f. Let k be (-218)/(-6)*(-2 - (c - 0)). Calculate the remainder when 6/(-18) - k*2/6 is divided by 23.
13
Let q be 0/(4 - 2 - 0). Let w(x) be the third derivative of -x**4/8 + 19*x**3/6 - 3*x**2 + 2*x. What is the remainder when 54 is divided by w(q)?
16
Let d(l) = -7*l**2 - 87*l + 32. What is the remainder when d(-6) is divided by 293?
9
Let n(v) = 4*v**2 + 2*v + 3. Let h be n(-1). Suppose 0 = h*b - 53 + 563. Let r = b + 159. Calculate the remainder when r is divided by 18.
3
Suppose -5*u - 56 + 331 = 0. Let a(r) = -2*r**3 - 4*r**2 - 4*r + 36. What is the remainder when u is divided by a(0)?
19
Calculate the remainder when (-1)/(10/(-115))*(813 + 17) is divided by 3178.
11
Suppose -18 = 4*m - 106. Let j(z) be the second derivative of 2*z**4/3 - 2*z**3/3 + z**2/2 + 6*z. Calculate the remainder when j(3) is divided by m.
17
Suppose 1027 - 223 = 12*r. Suppose 0 = -x + 6*x - 2*n - 80, -r = -4*x + n. Suppose 3*f + x = 63. What is the remainder when 87 is divided by f?
12
Let h = 500 + -384. Suppose -24*a + 1244 = h. What is the remainder when 234 is divided by a?
46
Let s = -262 + 307. Suppose s*z - 50*z = -120. 