se -61 = -v - 3*w, 2*v - 13 - 129 = -2*w. Let z = v + c. Calculate the remainder when z is divided by 4.
3
Let t(j) = j**3 - 7*j**2 + 2*j - 10. Let r be t(7). Suppose 20 = r*q + 4. What is the remainder when -4 + q/(-1) + 81 is divided by 37?
36
Suppose 5*q - 149 = -2*j, 4*q + 2*j - 130 + 10 = 0. Suppose -5*i = -6 - q. Suppose 19 = -383*y + 384*y. Calculate the remainder when y is divided by i.
5
Let o(z) = -z**3 + 6*z**2 + 9*z - 15. Let b be o(7). Let g = -62 + 96. Calculate the remainder when g is divided by 16/2 + (-5 - b).
2
Let d(p) = 52*p**2 - 11364*p + 22722. What is the remainder when d(2) is divided by 4/(-10) - 516/(-15)?
32
Let u(j) = 22*j**2 + 544*j - 3298. What is the remainder when u(6) is divided by 35?
23
Suppose -12 = -6*a + 2*a. Let k = 600 + -588. Suppose 5*v + 20 = 5*x, a*x - 4*v + 2*v = k. What is the remainder when 12 is divided by x?
0
Let u = 113 + -105. What is the remainder when 194 is divided by ((-4)/u)/(3/(-2))*117?
38
Suppose c - 29 = -3*j, 44 = 2*c + j - 2*j. Suppose -29 = 5*r - 9. What is the remainder when c is divided by (-5 - r)*(-1 - 7)?
7
Suppose -8 = 4*a - 8*a. Suppose 44 = 3*p - 4*b, b = -4*p + 4*b + 61. Suppose 0 = -a*g - 2*g + p. What is the remainder when 8 is divided by g?
0
Calculate the remainder when 1956 is divided by ((-2200)/(-9))/5 + (1 - 144/162).
45
Let p = -299 - -1498. Calculate the remainder when p is divided by 18.
11
Suppose 0 = 33*z + 37*z - 74*z + 160. What is the remainder when 404 is divided by z?
4
Let t(o) = 28*o**2 + 3*o + 2. Suppose 1064 = 14961*g - 14923*g. Calculate the remainder when t(-2) is divided by g.
24
Let g = -10 + 46. Let q = -9723 + 9731. Calculate the remainder when g is divided by q.
4
Let p = 101 - 96. Suppose -4*k + 194 = -p*d, -3*k - 5*d = -10*d - 143. Calculate the remainder when k is divided by 27.
24
Let c be ((-8)/(-6))/(3 - (-35)/(-15)). Suppose 5*d = 5*a - 35, c*a - 5*d + 53 = 5*a. Calculate the remainder when 14 is divided by a.
3
Let f = 19 - 17. Suppose -w = -f*w + 16. Calculate the remainder when (w/(-12))/((-10)/705) is divided by 32.
30
Let i = -41 + 124. Suppose -3*k - 2*k + 2*d + i = 0, -d = k - 11. Calculate the remainder when 27 is divided by k.
12
Calculate the remainder when 25955 is divided by (-180)/15 - 44/(-3) - 181/(-3).
62
Let c = 17653 + -17280. Calculate the remainder when c is divided by 6.
1
Suppose -31*n + 35*n - 261 = -5*r, 4*r - n - 213 = 0. What is the remainder when 631 is divided by r?
48
Let t(s) = -s**2 + 11. Let i be t(0). Suppose -i*p = -273 - 244. Suppose 0 = d - 5*d + 40. What is the remainder when p is divided by d?
7
Let i = -1 - -9. Suppose -4*t - 6640 = -i*t. What is the remainder when t/55 + 2/(-11) is divided by 16?
14
Let m = 30 - 28. Suppose m*t - 402 = 738. What is the remainder when (-20)/40 - t/(-4) is divided by 18?
16
Suppose -129*q = -130*q + 8*d + 64, 2*d = -4*q + 358. What is the remainder when 1083 is divided by q?
27
Let y(z) = 2*z**3 + z**2 + 2*z - 4. Let c be y(-2). Let b = 4 - c. What is the remainder when 161 is divided by b?
17
Suppose -485 = -7*b - 485. Suppose -2*q = -5*j - b*q + 76, 86 = 5*j + 3*q. Calculate the remainder when 158 is divided by j.
14
Suppose -5*r + 25097 = d, r + 167*d - 169*d = 5026. Calculate the remainder when r is divided by 62.
60
Let k(c) = 2*c**2. Let n(l) = l**3 + 1. Let r(o) = k(o) - 2*n(o). What is the remainder when r(-1) is divided by 2?
0
Let j(z) = z**3 + 28*z**2 - 4*z - 103. Suppose 0 = -21*i - 119 - 469. Calculate the remainder when j(i) is divided by (0 + -1)/((-1)/4).
1
Calculate the remainder when 3970 is divided by (-206)/2163 + ((-5758)/21)/(-2).
134
Let l(f) = f**2 - 11*f - 55. Let k = -309 - -324. Calculate the remainder when (-88)/(-6) - 6/9 is divided by l(k).
4
Suppose 0*d + 13 = d. Suppose -103 = -2*z + 33. Suppose -21 = -o - 2*l, 4*o - z - 41 = -3*l. Calculate the remainder when o is divided by d.
5
Suppose 0 = -14*i + 2533 - 139. Suppose 167*v = i*v - 16. Calculate the remainder when 28 is divided by v.
0
Suppose -416 + 136 = -4*a. Let z = 120 - a. What is the remainder when z is divided by 17?
16
What is the remainder when 415 is divided by 48*(380/120 + 10/(-4)) + -2?
25
Suppose -4*t + 3*i = 320, -5*i + 354 = -4*t + 34. Suppose 5*o = c - 95, c + 4*o - 85 = 28. Let b = c + t. What is the remainder when b is divided by 14?
11
Let t(v) = -v**2 + 9*v + 330. Suppose 10*k - 45 = 5*k. What is the remainder when (-268)/(-6) - 6/k is divided by t(-14)?
4
Let i = -2665 + 2724. What is the remainder when 178 is divided by i?
1
What is the remainder when 637 is divided by (-2 - (-2)/(-6))/((-6)/18)?
0
Suppose 7*s - 11*s = -t - 12, -2*s + 3*t - 4 = 0. Suppose s*g - 408 = -4*y, 0 = -3*g + 4*g + 5*y - 106. Calculate the remainder when g is divided by 17.
16
Let a = 16945 + -16091. Calculate the remainder when 3435 is divided by a.
19
Let j(g) = 2*g**3 - 12*g**2 + 4*g - 5. Let t be j(6). Let f(d) = 6*d - 80. What is the remainder when 60 is divided by f(t)?
26
Suppose -409*l = -413*l + 7632. Suppose 43*z = 34*z + l. What is the remainder when z is divided by 24?
20
Let h(y) = -70*y + 939. Calculate the remainder when 174 is divided by h(13).
0
Let t(d) = -2*d**3 + 2*d + 3. Let f be t(-1). Suppose 3*j - 13*r = -12*r + 913, -f*r - 307 = -j. What is the remainder when j is divided by 26?
18
Let y = -9266 - -9345. What is the remainder when 5529 is divided by y?
78
Let i(f) = -170*f - 10765. What is the remainder when 3546 is divided by i(-64)?
96
Let k be 12/(-9)*(-105)/2. Suppose 212 + 358 = 72*o - 150. Suppose 5*s + o - k = 0. What is the remainder when 82 is divided by s?
10
Let a(i) = i**3 + 18*i**2 + 27*i + 50. Let v be a(-16). Let n = 147 - v. Calculate the remainder when 44 is divided by n.
10
Let k be (-8 + 17)/(2/(-410)). Let z(c) = -5*c**2 - 50*c - 3. Let g be z(-10). What is the remainder when (k/82)/(g*1/4) is divided by 8?
6
Let f(i) = i**3 - 4*i**2 - 672*i + 68. What is the remainder when 1767 is divided by f(28)?
67
Let n = -95 - -97. What is the remainder when 6/(-4)*(-56 - n) is divided by -12*20/(-32)*2?
12
Let s(d) = -48*d - 74. Let l = -31 + 27. What is the remainder when s(l) is divided by 42 + 1 + -3 - 0?
38
Let j(u) = -7*u + 6. Let s be j(-15). Suppose 11*b - s = 76. Calculate the remainder when 61 is divided by b.
10
Suppose 56*s = 199*s - 18876. Calculate the remainder when s is divided by 73.
59
Suppose 547*u + 3234 = 561*u. Calculate the remainder when u is divided by (-47)/(4 - 3 - 2).
43
Suppose 7*o + 120 = 31*o. Suppose -2*f + 48 = a - o*a, -5*a - 9 = -f. Calculate the remainder when 168 is divided by f.
32
Suppose 0 = -13*y + 9 + 199. Suppose 1 - 5 = -o, l + 2*o = 11. Suppose d + 294 = 6*d - l*c, c + 238 = 4*d. Calculate the remainder when d is divided by y.
12
Suppose -12*u = -7*u + 4*q + 710, 5 = -q. Let v = -93 - u. What is the remainder when 314 is divided by v?
44
Suppose 0 = -5*y + 5, 5*l + 4*y = y + 118. Suppose -88*q + 690 - 3359 = -15869. What is the remainder when q is divided by l?
12
Suppose -42*j + 1589 + 2402 + 5333 = 0. Calculate the remainder when 1553 is divided by j.
221
Let c be (1 + 1/(-6))/(9/54). Suppose -2*y + 169 = c*g, 0 = 2*y - 19*g + 14*g - 179. What is the remainder when y is divided by 53?
34
Suppose 9*d - 87*d + 217563 = 63*d. What is the remainder when d is divided by 16?
7
Let d(z) = 72*z + 22. Let b be d(-7). Let a = b + 958. Let u = -335 + a. Calculate the remainder when u is divided by 36.
33
Suppose 5*r = -0*c + 3*c - 1451, r + 1912 = 4*c. Calculate the remainder when c is divided by (119/(-34))/((-49)/112*1).
5
Let t(g) = -16*g**2 - 41*g + 31. Calculate the remainder when 5438 is divided by t(-3).
8
Suppose -2*y + 3*d = -82 - 11165, -d - 9 = 0. Calculate the remainder when y is divided by 13.
7
Let c = 104210 + -104185. Let f = 228 + -134. What is the remainder when f is divided by c?
19
Suppose -26*d + 58 = -1476. Calculate the remainder when d is divided by 26.
7
Let k(d) = 11*d**2 + 98*d - 490. What is the remainder when k(6) is divided by 15?
14
Suppose 64*a = 81*a - 1853. Suppose j = 5*z + 4*j - 25, z - j = 5. Calculate the remainder when a is divided by z.
4
Suppose -4 + 16 = 4*l, -l = -3*t + 453. Calculate the remainder when 308 is divided by t.
4
Let t(g) = -g**3 - 7*g**2 - 10*g - 8. Let x