69. What is the remainder when b is divided by y?
27
Suppose q + 6 = 55. Let m be ((-10)/6)/(q/(-12) - -4). Suppose 2*c - g + m = 169, -5*g + 143 = 2*c. Calculate the remainder when c is divided by 19.
17
Suppose 994 = 2*i - 4*u - 170, 0 = 5*i - 3*u - 2882. What is the remainder when i is divided by 3?
1
Let b(z) = 44*z + 122. Let f be b(-24). Let q = 1268 + f. Calculate the remainder when q is divided by 7.
5
Let w(m) = -2*m**2 - 7*m - 4. Let b be w(-4). Suppose 248*n - 16188 + 1448 = 28*n. What is the remainder when n is divided by 2/b - 171/(-12)?
11
Calculate the remainder when 5600/210*45/2 is divided by 87.
78
Let z be (-1)/(-4) - 0 - (-63)/36. Let h(c) = 8 + 4*c - 7*c + c**2 + 0*c**z. Calculate the remainder when 76 is divided by h(6).
24
Let k(i) = i**3 + 25*i**2 + 43*i - 59. Calculate the remainder when 37 is divided by k(-23).
7
Let k(v) = 2*v**2 + 106*v + 558. Calculate the remainder when 1168 is divided by k(-48).
76
Let f(l) = -2*l - 4. Let n be f(-14). Calculate the remainder when 31/6 + n/(-144) is divided by 2.
1
Let i be (1 - 2)/((-1267)/1260 + 1). Calculate the remainder when 56 is divided by -5*8/i - 182/(-9).
16
Let b(a) = -2*a**3 + 94*a**2 + 20. Let t = -11 + 5. Calculate the remainder when (-4)/6 + (-322)/t is divided by b(47).
13
Let y be (59/2)/((-1)/(-8 - 6)). Let c = y - 323. Calculate the remainder when c is divided by 30.
0
Let n(b) = 11*b**2 + 51*b - 4. Let p(a) = -23*a**2 - 103*a + 6. Let v(u) = 13*n(u) + 6*p(u). Calculate the remainder when v(-10) is divided by 15.
4
Let m = -356 + 240. Let z = 178 + m. Calculate the remainder when z is divided by 16.
14
Let y(w) = -w**2 + 12*w + 39. Suppose -23 = -h - 4*g, h - 2 - 12 = -g. Calculate the remainder when 194 is divided by y(h).
44
Let m(z) = -z**2 - 101*z + 323. What is the remainder when m(-79) is divided by 14?
3
Suppose -5*w - 5 = 0, -31*r - 5*w = -27*r - 5027. What is the remainder when r is divided by 127?
115
Suppose -l = 1 - 42. What is the remainder when l is divided by (204/(-12) - -23)*1?
5
Calculate the remainder when ((-107)/(-5))/(17/85) is divided by 7.
2
Let u(f) be the third derivative of -f**4/3 + 29*f**3/3 - 34*f**2. Let m be u(7). Suppose 14 = -m*w + 4*w. What is the remainder when 12 is divided by w?
5
Calculate the remainder when 249 is divided by (1161/86*((-10)/(-3) - 2))/2.
6
Let p = 4101 + -4044. Calculate the remainder when 172 is divided by p.
1
Suppose -4*n + 62 = -c - 15, -2*c - 54 = -3*n. What is the remainder when 828 is divided by n?
8
Let u be -6*3*1/(-6). Suppose 4*c + n - 192 = -u*n, -3*n = 6. Suppose -4*s + 50*y = 45*y - 607, 5*y = -15. Calculate the remainder when s is divided by c.
48
Suppose 5*b - 2*z = 5191, 5*b + 513*z = 517*z + 5187. What is the remainder when b is divided by 215?
179
Suppose 0 = g + 2*d - 5, -g - 15*d + 2 = -12*d. What is the remainder when 83 is divided by g?
6
Let f(g) = -2*g**2 + 6*g + 3. Let j be f(3). Suppose b + j*i + 0 = -2, b - 4*i = 12. Let z = -19 - -34. Calculate the remainder when z is divided by b.
3
Suppose -2*g + 12 = -q, -2 - 2 = 2*q + g. Suppose 527 = 4*l - 3*a, -3*l + 528 = l - 4*a. Calculate the remainder when l is divided by ((-342)/72)/(1/q).
17
What is the remainder when 19372 is divided by (-161)/(-5) - 1392/1160?
28
Let z = -7 + 11. Suppose 0 = -2*w + 2, -z*s + w - 3*w = -50. Suppose -2*l - 56 = -5*m, 0 = 3*m - 4*l - 16 - s. What is the remainder when m is divided by 8?
4
Suppose 46 = -11*b - 361. Let k = -26 + 83. Let u = b + k. What is the remainder when 56 is divided by u?
16
Let k = 18 - 18. Suppose k = -6*c - 104 + 302. Suppose h = c - 24. What is the remainder when 23 is divided by h?
5
Let z(v) = -35*v + 1011. What is the remainder when 303 is divided by z(28)?
24
Suppose 0 = 2*r - d - 62, -82 = -2*r - 90*d + 89*d. Calculate the remainder when (-2 - -1) + (2 - -358) is divided by r.
35
Suppose 537 = 5*b + 2*w, -2*w - 440 = -4*b - w. Let d(u) = u**3 - 11*u**2 + 145*u - 671. Calculate the remainder when b is divided by d(6).
14
Let w = 79 + -85. Let f be ((-60)/(-8) - 2)/((-3)/w). Suppose -f*p + 18*p = 84. Calculate the remainder when 19 is divided by p.
7
Let c(b) = 11*b**3 + 14*b**2 - 34*b + 10. Let g be c(18). Calculate the remainder when g/531 - 2/9 is divided by 26.
24
Let w(k) = -15*k + 17. Let y be w(1). Suppose -5*a = y*z - 15, 9 - 3 = 2*z - 4*a. Calculate the remainder when 23 is divided by z.
3
Let f(w) = 8*w**2 - 38*w - 889. Calculate the remainder when f(-16) is divided by 59.
56
Suppose -55660 = -433*b - 365*b + 174962. What is the remainder when b is divided by 221?
68
Suppose -2*v = -9 - 7. Suppose 0 = v*o + 674 - 3402. Calculate the remainder when o is divided by 86.
83
Suppose 23*w = 11*w + 6828. Suppose w - 3210 = -19*g. Calculate the remainder when g is divided by 30.
19
Calculate the remainder when -2*4/16*(77 + -737) is divided by 74.
34
Suppose 5*y + 20 = -3*i + 57, 69 = 3*i - 3*y. Let z(m) = 10*m**2 + 5*m - 10. What is the remainder when z(4) is divided by i?
18
Suppose 2676 = -4*q + 5*a, 7*q + 676 = 6*q + 3*a. Let f = -639 - q. Calculate the remainder when 59 is divided by f.
9
Suppose 17*q + 3*c - 9583 = 13*q, 2*q - 5*c - 4811 = 0. Suppose 14*v = -8*v + q. Calculate the remainder when v is divided by 10.
9
Let s = 269 - 144. Suppose -59 = -5*j - i + s, 5*i = -4*j + 164. Suppose -4*z = -60 - j. Calculate the remainder when 117 is divided by z.
21
Let f(y) = 6*y - 20. Suppose 5*w = -l + 40, w + w = -3*l + 29. Suppose w*d = 72 + 12. Calculate the remainder when f(d) is divided by 6.
4
Suppose 0 = 4*l - 2*y - 1308, 731 = 2*l - 3*y + 69. What is the remainder when 481 is divided by l?
156
Suppose 9024 = 278*a - 273*a - 2*v, a - 3*v = 1823. Calculate the remainder when a is divided by 2.
0
Let j(b) = 2*b**2 - b + 9. Let y(g) = -2*g**2 + 15*g - 32. Let u be y(10). What is the remainder when j(-7) is divided by ((-123)/u)/(2 - (-113)/(-58))?
27
Let d = 2040 - 941. Suppose 0 = 9*b - d - 1232. Calculate the remainder when b is divided by 89.
81
Let o be (-2)/(-3)*(24 + -21). Let c(i) = 3*i**3 + 2*i**2 + i - 3. Calculate the remainder when 151 is divided by c(o).
27
Suppose -3*g = 4*v - 673, -g = 3*v + 227 - 448. What is the remainder when g is divided by 40?
27
Let c = 13588 + -13330. Calculate the remainder when c is divided by 54.
42
Suppose 64 = 2*z + 5*k, 7 = -k + 3. Suppose 3*x + x = -80. Let w = x + z. What is the remainder when w is divided by 12?
10
Let m = 2827 - 2275. Calculate the remainder when m is divided by 192.
168
Suppose -68*g + 587 = -4377. What is the remainder when 111 is divided by g?
38
Let g(i) = 25*i + 15. Let p(u) = -u - 1. Let n(j) = -g(j) - 6*p(j). Let o be n(-2). Let k = 32 - o. What is the remainder when 7 is divided by k?
1
Suppose 8*c - 288 = 2*c - m, 25 - 1 = 2*m. Let d = -130 + 359. Calculate the remainder when d is divided by c.
45
Suppose -2359*l = -2374*l + 915. Calculate the remainder when l is divided by 16.
13
Suppose -4*g - 5*l + 358 = 0, -3*l - 210 = -5*g + 219. Suppose -387 = -24*n - 27. What is the remainder when g is divided by n?
12
What is the remainder when 1295 is divided by (9 + -2)*-5*((-2786)/245 + 8)?
115
Let q(j) = -97*j + 3794. What is the remainder when q(-18) is divided by 18?
14
Suppose -p + 3*n - 18 = 0, 1 + 11 = 3*n. Suppose 2*r + 24 = 4*r. What is the remainder when 16/24 - (128/p + -1) is divided by r?
11
Suppose 255 = l + 4*l. Calculate the remainder when l is divided by (-120)/(19 + 5)*19/(-5).
13
Let z be (-16)/24*(-3 + (-117)/2). Suppose -z = -2*b - 33. Calculate the remainder when 11 is divided by b.
3
Let o(k) = 14*k**2 - 370*k - 3385. What is the remainder when o(-9) is divided by 268?
7
Suppose 0 = -5*f + 69 - 9. Suppose -2297 = -f*d + 1591. Suppose -13*v = -22*v + d. What is the remainder when v is divided by 14?
8
Let h(c) = -38*c - 3094. What is the remainder when 975 is divided by h(-94)?
19
Let c(z) = 2*z + 11. Let y(j) = 2*j**3 + 3*j**2 - 2*j. Let v be y(2). Calculate the remainder when 15/(-5)*(-544)/v is divided by c(12).
33
Let s = 35359 + -33415. Calculate the remainder when s is divided by 604.
132
Let g = 4275 + -4178. Calculate the remainder when 1247 is divided by g.
83
Suppose 3*i = 12, -3*z + 7*i = -6*z + 67. Let a = -118 - -298. Suppose 0*u - a = -2*u. Calculate the remain