4*b + b - 44 = -3*a. Suppose 3*y - i = 4*i + 30, -2*y - i = -b. What is the remainder when 6 is divided by y?
1
Let f be 0 + (4 + 4 - 4). Calculate the remainder when 6/f*9676/123 is divided by 5.
3
Let w be (-5)/((-15)/27) - 4. Suppose 2*x + w*h - 963 = 0, -2*x + h = -4*x + 959. Calculate the remainder when x is divided by 37.
35
Suppose -5*y - 2*g + 153 - 119 = 0, -3*y + 47 = 5*g. What is the remainder when 1495 is divided by y?
3
Suppose -270 = -3*p + 4*n, -3*p - 28*n = -25*n - 270. Let j(v) = 6*v. Let x be j(-2). Let h = 35 + x. Calculate the remainder when p is divided by h.
21
Suppose 0 = 3*k - j + 42, k + j + 14 = 4*j. Calculate the remainder when 52 is divided by (k/(-4))/(-6*4/(-96)).
10
Suppose -3024 = -24*r - 216. Calculate the remainder when 136 is divided by r.
19
Suppose -3*q = -4*o - 290, -3*q - 2*o = -64 - 232. Calculate the remainder when 17 is divided by 9 - (14/(-119) + q/(-34)).
5
Suppose 2*m = -5*m + 182. Calculate the remainder when 1870 is divided by m.
24
Suppose 0 = 4*o + 5*q - 3243, 22*o - 2*q - 4062 = 17*o. Calculate the remainder when o is divided by 128.
44
Let w(s) = s**2 + 45*s + 270. Let l be (1 + 0 - 0)/((-67)/469). What is the remainder when 191 is divided by w(l)?
3
Suppose -8*q + 8*k = 5*k - 107493, q - 13438 = -k. What is the remainder when q is divided by 14?
11
Let q = 27138 - 27125. Suppose 5*o - t - 155 = 0, -t = 2*o - 5*t - 44. Calculate the remainder when o is divided by q.
6
Let c = 252 + -245. Suppose -2*y = h + 1 + 7, h = y + c. What is the remainder when 16 is divided by h?
0
Let j be (-6)/3 - (1 - 3). Let w(f) = -f**2 + 4. Let d be w(j). Suppose 95 = 9*z - d*z. What is the remainder when z is divided by 6?
1
Suppose -92*c = -95*c + 5*s + 455, 0 = -2*c - 2*s + 330. Calculate the remainder when 1913 is divided by c.
153
Suppose 0 = v - 4, 0 = -n + 5*n - 3*v. Let k be (0 - -1)/(n/153). Suppose 0 = -6*r + 3*r + k. What is the remainder when 83 is divided by r?
15
Suppose 0 = 5*l + 2*m - 309, 2*l - 125 = 5*m - 6*m. What is the remainder when 1171 is divided by l?
50
Suppose 86*l - 54005 = -20809. What is the remainder when l is divided by 7?
1
Suppose 0 = -f - 3*k + 55, 5*f + 4*k - 269 = 6. What is the remainder when 1973 is divided by f?
48
Calculate the remainder when 66708/(-24)*8/(-12) is divided by 16.
13
Suppose 7*h + 499 = -5*o + 4*h, 4*h = 3*o + 311. Let l = 145 + o. Suppose -2*w + l = -64. What is the remainder when w is divided by 5?
4
Let h(v) = -v**2 - 15*v - 23. Let q(c) = -c**2 - 14*c - 24. Let g(j) = 5*h(j) - 6*q(j). Calculate the remainder when g(-11) is divided by 9.
6
Let w(d) = 2*d**3 - 46*d**2 - 12*d - 8. Calculate the remainder when w(24) is divided by 108.
100
Let d = 43 + -3. Let p(o) = -2*o + 47. Calculate the remainder when 7/((-28)/20) + d is divided by p(19).
8
Suppose -18*q = 3523 - 4189. Calculate the remainder when 276 is divided by q.
17
Suppose -2*a + 2*o = -368, 11*o = -2*a + 7*o + 344. Suppose 0 = -2*q + 54 + a. What is the remainder when q is divided by 17?
15
Let j(c) = -c**2 + 20*c - 13. Let k = -67 + 75. Let h be j(k). Let o = -48 + h. Calculate the remainder when o is divided by 9.
8
Let i be (1/2)/((-1)/(-130)). Suppose 3*p - i - 64 = 0. Let q = p - 32. What is the remainder when 65 is divided by q?
10
Let l = -4363 - -4596. Calculate the remainder when l is divided by 140.
93
Let u(z) = 7*z + 117. Let s be u(-17). Let o(a) = -a**3 - 3*a - 1. What is the remainder when 49 is divided by o(s)?
10
Let t(g) = 11*g**3 - 7*g**3 + g**2 + 6 + g**2 - 3*g**3. Calculate the remainder when t(6) is divided by 74.
72
Let a be (-8)/(-20) - 1196/(-10). Suppose 3*t - a - 45 = 0. Let s = 228 + -209. What is the remainder when t is divided by s?
17
Suppose 0 = -2*o - 4*y + 32, o = 4*o - 5*y + 7. Let h be (-457)/(-3) - (-3 - 12/(-9)). Let t = 161 - h. What is the remainder when t is divided by o?
1
Let m(l) = -l**2 + 43*l - 88. Let s(b) = -6*b + 42. Calculate the remainder when m(39) is divided by s(0).
26
What is the remainder when (34/(-8))/(((-59)/(-6962))/(4/(-2))) is divided by 23?
14
Suppose q = -5*g + 4*g + 197, 5*g - 953 = 3*q. Let i = g + -170. What is the remainder when i is divided by 8?
7
Let s = 9 - 5. Suppose 0 = -3*r + s*r - 63. Suppose -4*d + 9 + 87 = 3*b, 2*d = 2*b - 64. What is the remainder when r is divided by b?
31
Let u be ((-421)/10 - 2) + 10/100. What is the remainder when -2 + 1 + 2 + 16 is divided by u/6*123/(-82)?
6
Let x = -4952 - -6438. What is the remainder when x is divided by 93?
91
Let r = 1182 + -1178. Suppose -5*t = -r*p - 391, 4*t + 13*p = 9*p + 284. What is the remainder when t is divided by (-2)/3 - (-60)/9?
3
Suppose 2*b = 7*b - 730. Suppose -b = -3*a - 4*i, 144 = 2*a + a + 3*i. Calculate the remainder when a is divided by (-96)/(-15)*(90/12 + -5).
14
Suppose t = 11 - 10, -2*t + 2 = -4*z. Suppose -8*n + 50 + 302 = z. What is the remainder when 157 is divided by n?
25
Let q(j) = -5*j + 143 + 6*j - 92. What is the remainder when q(-8) is divided by 6?
1
Calculate the remainder when 26*(-6)/4*(-15)/9 is divided by (-2)/17 + 3402/306.
10
Let q = 460 - 316. What is the remainder when (-1)/(-4) + 261/q*28 is divided by 14?
9
Let v = 7950 - 14643. Let p be (-3)/4 - v/92. Let x = p + -63. Calculate the remainder when 17 is divided by x.
8
Let s(n) = n**3 + 6*n**2 - 11*n - 11. Let g be s(-6). Let f = -30 + g. Let o = -7 + 14. What is the remainder when f is divided by o?
4
Let z be 77/22 - ((-6)/4 + 1). Suppose -g + 217 = 3*n - 0*g, z*n = 2*g + 296. Suppose -n*w + 75*w - 82 = 0. Calculate the remainder when 79 is divided by w.
38
Let a = -47928 - -47984. Let f(y) = 5*y + 0 - 1 + 3. What is the remainder when a is divided by f(3)?
5
Calculate the remainder when 14769 is divided by (4 - (10 - 34))/(16/20).
34
Let j be (5/(-3))/(8/(-24)). Suppose q - j*v = -0*q - 577, -3*q - 1721 = -5*v. What is the remainder when q/(-28) - 6/14 is divided by 7?
6
Let r(i) be the first derivative of 4*i**3/3 - 13*i**2 - 14*i - 7. Calculate the remainder when r(8) is divided by -3 - (1 + 44)/(-3).
10
Let y(g) = 11*g + 3*g**2 + g**2 - 12*g. What is the remainder when -1 + (5 - 23)*-2 is divided by y(-2)?
17
Suppose 2*l + 109*r - 111*r = 376, 3*r = 5*l - 936. Calculate the remainder when l is divided by 51.
33
Suppose -8*g + 208 = -3*l - 692, 0 = 5*g - l - 559. Calculate the remainder when g is divided by 48.
15
Suppose 0 = 26*i + 127 - 4989. Calculate the remainder when i is divided by 48.
43
Let f(t) = t**3 + 70*t**2 + 381*t - 74. What is the remainder when 475 is divided by f(-64)?
3
Suppose t - 401 - 2159 = -4*g, 0 = 4*t + 3*g - 10292. What is the remainder when t is divided by 1288?
0
Suppose -3*c = -2*i + 16 - 68, -2*i - 74 = -4*c. What is the remainder when 2836 is divided by c?
20
What is the remainder when 75 is divided by (-4 - 176/(-32))*18?
21
Suppose 29 = -q + 5*m, 6*m = -4*q + m + 9. Let a(r) = -3*r**2 - 34*r - 6. Calculate the remainder when a(q) is divided by 22.
16
Suppose -3*m = -4*i + 15 + 20, 35 = -2*m + 5*i. Let x(r) = r**3 + 4*r**2 - 9*r. Calculate the remainder when 20 is divided by x(m).
0
Suppose -484*k + 483*k + 57 = 0. Suppose 4*m + 2*y - 39 = 11, -3*y - k = -5*m. Calculate the remainder when 35 is divided by m.
11
Suppose -2*q - 3*q = 10, -2*r = 4*q + 38. Let c = -1149 - -1154. What is the remainder when 82 is divided by -63*c/(r/1)?
19
Suppose -w + x - 2 = 0, -w + 4*x + 6 = 2. Let b be (-134)/(-8) + ((-3)/w)/3. Suppose b = 5*v - 48. Calculate the remainder when 38 is divided by v.
12
Let p be 6/(-5)*((-1036)/21 + 1). Suppose 4*s = -4*u + 124, -p = -11*u + 9*u - 3*s. Suppose 0*b + 19 = b. What is the remainder when u is divided by b?
16
Let u = 1186 + -1127. Calculate the remainder when 373 is divided by u.
19
Suppose -3*l + 1964 = 5*m, 21*l - 3*m + 648 = 22*l. Calculate the remainder when l is divided by 32.
23
Suppose -9034 + 38698 = 309*v. Suppose -4*m + 2*d - 3*d + 1119 = 0, 4*d = -3*m + 823. What is the remainder when m is divided by v?
89
Let u = 950 - 940. Let g = 246 + -138. Calculate the remainder when g is divided by u.
8
Let f(p) = -3*p - 1. Let l be f(-2). Let b be 4/(-5)*(15 + l). Let m = -13 - b. What is the remainder when 5 is divided by m?
2
Let l(g) be the third derivative of g**5/60 - 5*g**4/12 + 7*g**3/6 + g**2. Let x be l(