 7. Let s be q(-2). Suppose 2*g + 5*m = 29, -20*g + 37 = -19*g - s*m. Calculate the remainder when 92 is divided by g.
4
Suppose 2*k = 2*i + 46, 5*k - 2*k = i + 31. Let b(v) = -9*v - 7. What is the remainder when b(i) is divided by 42?
38
Let a(v) = v**2 + 44*v - 39. Calculate the remainder when a(5) is divided by 23.
22
Suppose -4*c = -3*j - 140, 53*j = -4*c + 49*j + 168. What is the remainder when 1416 is divided by c?
10
Let p = 309 + -304. Suppose -4*w + 47 = -3*w + p*y, -3*y = -4*w + 119. Calculate the remainder when 143 is divided by w.
15
Let u = 1622 - 1559. Calculate the remainder when 7307 is divided by u.
62
Suppose -235 = 5*q - 2*r, 0*q - 4*q = 2*r + 170. Let k = q - -44. Let p(f) = -8*f + 1. Calculate the remainder when p(k) is divided by 3.
0
Let z(o) = -o**3 + 20*o**2 - 12*o - 21. Let k be z(19). Let m = 127 - k. What is the remainder when 73 is divided by m?
13
Let j be (29/(-87))/(2/(-18)). Suppose -j*a - 21 = -d - 4*a, 87 = 4*d + a. What is the remainder when 61 is divided by d?
17
Let q = 360 + -144. Suppose -3*f + 159 = -q. Let g = f + -64. Calculate the remainder when g is divided by 21.
19
Let a(x) = -220*x - 3903. Suppose -3*y + 4*n + 640 = y, 0 = 3*y + 2*n - 460. What is the remainder when y is divided by a(-18)?
42
Let o = 302 + -82. Let b = -176 + o. What is the remainder when 122 is divided by b?
34
Suppose 3*g - 36*p + 32*p = 70, 4*g - p - 102 = 0. Calculate the remainder when 284 is divided by g.
24
Let y = -794 - -971. What is the remainder when 688 is divided by y?
157
Suppose -3*b = -4*y + 400, -137 = -y + 4*b - 50. Let l = 21 + y. Suppose 47*j - 45*j = l. What is the remainder when j is divided by 8?
6
Let k = -36 - -40. Let l(b) = b**2. Let v(c) = 6*c**2 + c - 5. Let d(q) = -4*l(q) + v(q). Calculate the remainder when 89 is divided by d(k).
27
Let l = -4302 + 4400. What is the remainder when 9795 is divided by l?
93
Suppose 0 = -4*o + 4*x + 52, 18 = -17*x + 15*x. Let k be 8*(-2 - (-1)/1). Calculate the remainder when 0 + 5/((-10)/k) is divided by o.
0
Suppose 0 = 4598*k - 4579*k - 1986 + 124. What is the remainder when 1173 is divided by k?
95
Let w be (-15)/(-6) - (-1)/2. Let z(h) = 7*h**2 + 1. Calculate the remainder when -2*95/(-10) - (0 - w) is divided by z(1).
6
Suppose 10*c + c = 1859. Suppose c*f + 260 = 174*f. Calculate the remainder when 172 is divided by f.
16
Let h be (447/(-4))/((189/(-72))/7). Suppose -4*g + h = 4*k - 194, -3 = -3*g. What is the remainder when k is divided by 31?
29
Let w = 21864 - 21474. Calculate the remainder when w is divided by 346.
44
Let k = -243 - -190. Let y = k - -61. What is the remainder when 166 is divided by y?
6
Suppose -41*y + 3605 + 495 = 0. Suppose 0 = y*q - 102*q + 14. What is the remainder when 66 is divided by q?
3
Let z = -7492 + 7510. Calculate the remainder when 6387 is divided by z.
15
Let f(x) = -5*x + 16. Let b be f(2). Calculate the remainder when ((-98)/(-21))/(-7) - (-562)/b is divided by 8.
5
Let t(h) = -h**3 + 10*h**2 + 11*h - 193. Calculate the remainder when 45 is divided by t(8).
22
Let q(x) = x**2 - 83*x + 1733. What is the remainder when 27465 is divided by q(42)?
9
Suppose 0 = -3*t - 2*f + 6172, 5*t - 13*f - 10286 = -16*f. Calculate the remainder when t is divided by 29.
26
Suppose -18*j + 42 = -4*j. Suppose 554 = j*h + 113. What is the remainder when h is divided by 37?
36
Let c = -1189 + 2432. What is the remainder when c is divided by 14?
11
Let s = -20646 + 20854. What is the remainder when s is divided by 32?
16
Suppose -41*u + 1390 + 45 = 0. Let j(x) = 15*x - 318. Calculate the remainder when j(u) is divided by 15.
12
Let z(c) = 20*c - 333. Let y(j) = 2*j**2 + j - 1. What is the remainder when y(-5) is divided by z(17)?
2
Suppose -3*u + 33 = 4*i - 2, 2*i - 15 = -u. Let t(q) = 4*q**2 + 4*q - 82. Calculate the remainder when 338 is divided by t(i).
34
Suppose 3*t = -3*x + 3, -5*x - 3*t + 0*t + 15 = 0. Let f = -4470 - -4480. Calculate the remainder when f is divided by x.
4
Suppose -8*f = -6*f - 128. Suppose 3*k + 3*l = 543, 4*k - 3*k - 3*l = 201. What is the remainder when k is divided by f?
58
Let u = -22643 - -22669. Calculate the remainder when 1337 is divided by u.
11
Let f be 4 - (0 + -3 - 89). Suppose f = 14*s - 10*s - y, 12 = -3*y. Calculate the remainder when 78 is divided by s.
9
Let b = 7266 - 7260. What is the remainder when b is divided by 4/10 + 26/10?
0
Let a(t) = -608*t - 5336. Calculate the remainder when a(-9) is divided by 11.
4
Suppose -3*z + 5*m + 35 + 4 = 0, 3*m = -4*z + 23. Suppose 11*v - 168 = 8*v - 3*l, 2*l = 2*v - 92. Calculate the remainder when v is divided by z.
3
Let o(d) = 5*d + 20. Let l(h) = -h**3 - 3*h**2 + 5*h - 14. Let r be l(-5). Calculate the remainder when o(r) is divided by 20.
15
Let u = 408527 + -408336. Let m(k) = 4*k**2 + 3. Let o(z) = -z**2 - 7*z - 3. Let i be o(-6). Calculate the remainder when u is divided by m(i).
35
Suppose h = -l + 17, 2*h = -0*h - 5*l + 46. Suppose 0 = -2*u - 7 - h. Calculate the remainder when (-3 - u)*1/((-2)/(-42)) is divided by 30.
27
What is the remainder when 1262 is divided by (3048/84)/((-4)/(-2)*1/7)?
119
Suppose 2*z = 2*l - 150, -4*l = -5*z - 22 - 280. What is the remainder when 142 is divided by l?
69
Suppose u = -4*u + 75. Suppose 3*c - 9 = -3, i = 5*c - 1. What is the remainder when u is divided by i?
6
Suppose 17867 - 17891 = -v. What is the remainder when 85 is divided by v?
13
Suppose -g + 10 = -w - 1, 0 = -3*g - 4*w + 47. Let m = 1 - 4. What is the remainder when 1/m + 888/18 is divided by g?
10
Let u(g) = 3*g + 15*g + 1134*g**2 - 1135*g**2 + 145. Calculate the remainder when 1 is divided by u(24).
0
Suppose -81*a - 2*h = -76*a - 26206, h = 5*a - 26227. What is the remainder when a is divided by 2620?
4
Let b(l) = 2*l**2 + 2*l + 18. Let p be 0*-1*(1 + -2 - 0). Let o = -78 + 147. Calculate the remainder when o is divided by b(p).
15
Suppose -4*r + 842 = -2*d + 820, -2*d + 5*r = 34. What is the remainder when (348/5)/((-2)/(-10)) is divided by d?
10
Let c(s) = 5*s**2 - 61*s - 780. Let y = 11 - 1. What is the remainder when c(-8) is divided by y?
8
Calculate the remainder when 290 + ((-18)/(-10))/((-2)/(-10)) is divided by 10.
9
Suppose -74 - 90 = -3*m + 25. What is the remainder when 4346 is divided by m?
62
Suppose -2*q = -p - 2*p, p + q = 0. Suppose 0*a + 4*a + 2*i - 14 = p, -26 = -4*a + 2*i. Let v = 9 + a. Calculate the remainder when 41 is divided by v.
13
Suppose 109 = -2*u + 223. Let r = -4 - -35. Calculate the remainder when u is divided by r.
26
What is the remainder when (-48)/10*240/(-24) is divided by 11?
4
Suppose -3*k + 153 = -0*k. Suppose 79*c = 92*c - 9802. Let u = 772 - c. What is the remainder when k is divided by u?
15
Calculate the remainder when 86 is divided by ((-672)/(-6))/(-7*(-2)/7).
30
Let g = -37 - -192. Suppose 2*u = -5*i + g, u + 22 - 84 = -2*i. Suppose -264 = 4*k - 752. Calculate the remainder when k is divided by i.
29
Suppose 51*t = 48*t + 6. Suppose 3*g + 86 = -4*u + 351, 4*g - 340 = -t*u. What is the remainder when g is divided by 21 - (-3)/(-3)*0?
20
Suppose k + 1329 = 3*r, 208*r + 1335 = 211*r - 2*k. Calculate the remainder when r is divided by 172.
97
Let i(g) = 4*g - 3. Let k = 166 + -235. Let j = k - -77. What is the remainder when i(j) is divided by 6?
5
Suppose -102 + 78 = -3*c. What is the remainder when -1 - (-64)/4 - c is divided by 5?
2
Let k be 2/(-4) + -58*7/28. Suppose -12*l - 246 = 1470. What is the remainder when (l - k/3)/(-2) is divided by 24?
21
Let w = -6663 + 14904. Calculate the remainder when w is divided by 13.
12
Suppose -339 = -6*f - 3. Suppose 5*d - 56 = 89. Calculate the remainder when f is divided by d.
27
What is the remainder when 1054 is divided by 160/(-400)*-20*(-2 + 3)?
6
Let h be -6 + 13 - 1/1. Let p(q) = 9*q**2 + 3*q + 5. Calculate the remainder when p(h) is divided by 50.
47
Let p(k) = k**2 + 14*k + 5. Let a be p(-17). Let w = 107 - a. Calculate the remainder when (-1*2/3 + 1)*w is divided by 7.
3
Let n be (0 - (-2)/3)/((-30)/(-225)). Suppose -x = n*j + x - 254, -5*j + 257 = x. Calculate the remainder when 126 is divided by j.
22
Let f = -60 + 92. Suppose f*b - 873 = 23*b. Calculate the remainder when b is divided by 20.
17
Let p(o) = 14*o**2 - 23*o - 204. What is the remainder when 