 + 8. Let q = -149 - f. What is the remainder when (q/2)/(3/(-66)) - 3 is divided by 18?
14
Let q(t) = -131 + 356 + 24 - 8*t. What is the remainder when q(26) is divided by 6?
5
Let x(h) = -99*h**3 + 2*h**2 + 3*h + 1. Suppose 4*a + 2*s = 3*s - 9, 0 = -5*a - 3*s + 10. Calculate the remainder when x(a) is divided by 17.
14
Suppose -117 = 36*t - 23*t. Let b(s) = 8*s**2 + 73*s + 22. What is the remainder when 141 is divided by b(t)?
11
Let t(a) = -a**3 + 18*a**2 - 34*a + 28. Let g be t(16). Suppose f = -4 + 18. What is the remainder when -4*(38/5)/(g/5) is divided by f?
10
Suppose y = -8 + 10. What is the remainder when y*12 + 15 + -20 is divided by 10?
9
Suppose 5*j + 24854 = 4*b, 2*j - 2039 = -b + 4194. Calculate the remainder when b is divided by 25.
21
Let j = -188 + 378. Let q be (1 + -4)/(9/(-6)) + j. Let v = -128 + q. What is the remainder when v is divided by 11?
9
Let o be -3 + ((-1)/(-2) - (-14)/(-4)). Let h = 82 - 46. What is the remainder when h is divided by (-86)/o + 44/(-33)?
10
Let g = 8 - 5. Suppose -s - 2 = -g. Suppose -3*q + 9 = h + 2*h, 0 = 3*h + 5*q - 7. Calculate the remainder when h is divided by s.
0
Let o = -92 - 87. Let p = -113 - o. Suppose 0 = 2*f + 4*y - 52, p = 2*f + f + 3*y. Calculate the remainder when 34 is divided by f.
16
Let o(r) = 157*r**3 - 8*r**2 - 19*r + 63. What is the remainder when o(3) is divided by 116?
113
What is the remainder when 111 is divided by ((10/3)/1)/((-1182)/(-21276))?
51
Suppose n = -1042 + 1113. What is the remainder when 665 is divided by n/3 + 4*8/(-48)?
21
Let g be (6 - (-425)/(-5))/((-3)/9). Let l = g - 214. Calculate the remainder when 103 is divided by l.
11
Let w(g) = 5*g**2 - 5*g + 10. Suppose 2*d = -5*r + 21, -2*r + 3 = -21*d + 20*d. Calculate the remainder when w(d) is divided by 11.
7
Suppose 5*o = -15*o + 96400. Suppose 36*c - 31*c - 2870 = -3*x, 5*x + c = o. Calculate the remainder when x is divided by 11.
8
Let b(l) = 15 - 35 + 34 - l. Let k = 23 - -2. Calculate the remainder when k is divided by b(0).
11
Suppose -35*n + 32*n = 5*y - 775, -4*n = 5*y - 1025. Calculate the remainder when n is divided by 32.
26
Let j(g) = 114*g - 4622. Suppose -2*m + 0*m + 1554 = 0. Suppose -2*a = a - m. Calculate the remainder when a is divided by j(41).
51
Suppose -153 = -10*h + 3*r, -89*h + 90 = -85*h + 2*r. Calculate the remainder when 125 is divided by h.
17
Suppose 0 = 4*p - 63 - 17. What is the remainder when (36/p)/(3465/1150 + -3) is divided by 35?
33
Let o = -15709 + 17019. Calculate the remainder when o is divided by 22.
12
Suppose 7*d - 163 + 2 = 0. Let c = -63 - -78. What is the remainder when d is divided by c?
8
Calculate the remainder when ((-32428)/402)/(3/(-594)) is divided by 163.
161
Let h be (426/18 - 3)*-18. Calculate the remainder when 31 is divided by (h/18)/((-14)/21).
0
Let z be 1220/(0 - -4)*1. Let t = 410 - z. What is the remainder when t is divided by 53?
52
Suppose 29 = -i + 2*f - 10, -i - 3*f = 54. What is the remainder when i/(-1) + (-3 - (-1 + 0)) is divided by 7?
1
Suppose p + p - 3*y = 15, -4*p + 2*y = -18. Suppose -b - p + 32 = a, b + 2*a - 27 = 0. What is the remainder when b is divided by 6?
1
What is the remainder when 364 is divided by ((-384)/252 + 36/42)*-72?
28
Suppose -5*m - 5*o + 137 = -2*o, 3*o = -m + 37. Calculate the remainder when 622 is divided by m.
22
Let b = -114 - -108. Let v be 801/(-15)*(11 + b). Let s = 456 + v. Calculate the remainder when s is divided by 49.
42
Let g be (-23)/(-5) + 54/135. Suppose -2*x - g*b + 83 = 0, 5*x - 6*b - 176 = -8*b. What is the remainder when 304 is divided by x?
32
Let j be 23/((70/(-25) - -2) + 1). Let b = j - 83. Calculate the remainder when 62 is divided by b.
30
Let j = 231 + -212. Let d(s) = -s**3 + 11*s**2 - 6*s + 13. What is the remainder when d(10) is divided by j?
15
Suppose -2*c + 6 = 28. Let o = 22 + c. Let y = 100 - 68. Calculate the remainder when y is divided by o.
10
Let j = -493 + 495. Suppose -76 = -3*d + 188. Suppose -2*r = 5*f - d, -j*r - 2*r = 4. What is the remainder when f is divided by 11?
7
Suppose -5*j + 4*y + 3401 = 0, 70*y = 74*y - 24. Calculate the remainder when j is divided by 43.
40
Suppose -402*f + 395*f + 826 = 0. What is the remainder when f is divided by 8?
6
Let k = 5345 + -5149. Calculate the remainder when k is divided by 68.
60
Calculate the remainder when 866 is divided by (-91)/(-3) + 250/375.
29
Let m = 33 - 31. Let r be (3 - -19 - 4)*m. Let w = -28 + r. What is the remainder when 10 is divided by w?
2
Let m be 19 + -16 - -12*3*-1. Let j = -20 - m. What is the remainder when 46 is divided by j?
7
Suppose 4*c - 306 = -2*c. Suppose -2*g - 2*q + 21 + c = 0, -2*g + q + 78 = 0. Let l = g + -21. What is the remainder when l is divided by 9?
8
Let x(a) = 9*a**3 - 296*a**2 - 16*a - 65. What is the remainder when x(33) is divided by 8?
0
Let h(s) be the third derivative of s**5/4 + 11*s**4/24 - 31*s**3/6 - 132*s**2. What is the remainder when h(4) is divided by 64?
61
Suppose -w + 2*c = -3*w + 36, 5*c = 15. Let g be (-3)/(-6)*(2 - -22). Let f(x) = x + 15. What is the remainder when f(g) is divided by w?
12
Suppose -164*h + 41990 = 330*h. What is the remainder when h is divided by 44 + 0/2 + 1?
40
Let v = 23 - 128. Let h = v - -175. Suppose -2*x + 175*s + 43 = 174*s, -5*s - 25 = 0. What is the remainder when h is divided by x?
13
What is the remainder when (112994/294)/((-1 - 0)/(-3)) is divided by 115?
3
Suppose 2*n = -2*a - 174, 5*n - 4*a + 475 = -a. Let m = n + 138. Calculate the remainder when 367 is divided by m.
45
Let f = 6226 + -6183. Calculate the remainder when 2878 is divided by f.
40
Let n(g) be the second derivative of 5*g**4/12 - 5*g**2 + 2*g + 6. What is the remainder when 92 is divided by n(-3)?
22
Suppose 36886 = 57*y + 10267. Calculate the remainder when y is divided by 103.
55
Suppose 58*a - 127 = 368 + 1419. Let x(p) = -6*p + 7*p - 2*p. What is the remainder when a is divided by x(-9)?
6
Let k(l) = 2*l**2 - 30*l + 63*l - l**3 - 30*l + 20. Let x(j) = -j + 2. Calculate the remainder when k(0) is divided by x(-5).
6
Suppose 4*m + 865 + 375 = 5*t, -4*t + 1550 = -5*m. Let q = m - -448. Calculate the remainder when q is divided by 28.
26
Suppose 4*p - 15024 = -y + 3822, 4709 = p - y. What is the remainder when p is divided by 5?
1
Let i(h) = 15*h**2 - h - 2. Let c be i(2). Suppose -c = -8*p + 32. What is the remainder when -3*p*1*(-128)/96 is divided by 12?
8
Suppose -2*p - 2*w + 0*w = -44, 0 = -p + 4*w + 47. Let v = p - 25. Suppose -v*k = -5*o + 1 - 2, -4*k + 15 = 3*o. What is the remainder when 5 is divided by k?
2
Let y = -1652 + 1681. Calculate the remainder when 130 is divided by y.
14
Suppose 2746 = -15*k + 13876. Calculate the remainder when k is divided by 739.
3
Suppose 2*o - 6*o = -8. Suppose -2*a + i - o*i + 437 = 0, 3*a - 675 = 5*i. Calculate the remainder when (a/66)/(2/9) is divided by 9.
6
Suppose 0*h - 110 = -h + 2*k, h + 3*k = 95. Let q be ((-2)/13 - (-224)/h) + -11. Calculate the remainder when 175 is divided by (-6)/q*(70 + -4).
43
Suppose 0 = 111*u - 7502 - 23245. Calculate the remainder when 8583 is divided by u.
273
Let j be (3 + -4)/((-6)/54). Suppose 2*g - 64 = x, j*g - 4*g - 3*x = 162. What is the remainder when g is divided by 2?
0
Let a = 30793 + -30769. What is the remainder when 276 is divided by a?
12
Suppose 0 = -n + 10*b - 15*b + 13, 2*b + 11 = 5*n. What is the remainder when 248 is divided by n?
2
Let x = -8115 + 8195. Calculate the remainder when x is divided by 27.
26
Let y(g) = g**3 + 8*g**2 - 2*g - 7. Let f be y(-5). Let m = -55 + f. Suppose 2*s - 92 = 136. Calculate the remainder when s is divided by m.
22
Let s = -13 + 17. Suppose a = -5*a + 192. What is the remainder when s is divided by -2*4/(a/(-12))?
1
What is the remainder when 344 is divided by (-118)/472 - (-1210)/8?
42
Let c be (-38)/(-8) - (-1)/4. Suppose -d = -c*n - 32, -4*n - 58 = -3*d + d. What is the remainder when 242 is divided by d?
26
Let k = 254 - 329. Calculate the remainder when 47 is divided by k/(-4) - (198/(-24))/(-11).
11
Let z = -131 + 134. What is the remainder when (441/(-12) + z)/((-6)/16) is divided by 23?
21
Suppose -16*k + 20*k + 72 = 4*s, s + 4*k = 28. What is the remainder when 1976 is divided by s?
16
What is the remainder when 4230 is d