 remainder when 3957 is divided by p?
57
Suppose -1 + 8 = -p. Let a = p - -28. Let y = a - 15. What is the remainder when 9 is divided by y?
3
What is the remainder when 23009/209 + (-4)/44 is divided by 29?
23
Suppose 43816 + 25136 = 34*k. Calculate the remainder when k is divided by 10.
8
Suppose -22*r = 6*r - 1092. What is the remainder when 971 is divided by r?
35
Let j(v) = -127*v**3 + v**2. Let k be j(-1). Suppose -18 + k = 5*m. Suppose b = m - 10. Calculate the remainder when 56 is divided by b.
8
Let c = -12 - -21. Let s(r) = -r**3 + 2*r**2 + 5*r + 14. Let y(k) = k**3 + 5*k**2 + 3*k. Let g be y(-4). What is the remainder when c is divided by s(g)?
1
Let r(s) = -2*s + 4. Calculate the remainder when (18/(-15))/((-6)/((-960)/(-1))) is divided by r(-12).
24
Suppose -8*d + 7*d + 38 = 0. Suppose 2*n = 4*z - d, 4*z + z = n + 46. Suppose h + 27 = 5*f - 18, z = f + 2*h. Calculate the remainder when 23 is divided by f.
5
Suppose 4*f + 1145 - 2131 = -2*r, 5*r = -5*f + 1220. Calculate the remainder when f is divided by 215.
34
Let s(h) = 7*h - 66. Let o be s(23). Suppose -2*n + 2*f = f - 187, n - o = 2*f. What is the remainder when n is divided by 195/12 - 2/8?
13
Calculate the remainder when 50*(-11 - (7 - 37)) is divided by 219.
74
Suppose -h = -3*a + 266, -a = 11*h - 6*h - 62. Let r be 206/5 + 3/(-15). Let g = 71 - r. What is the remainder when a is divided by g?
27
Suppose -435*k + 4329 = -7373 + 2567. Suppose 0 = l - 8 - 4. What is the remainder when k is divided by l?
9
Let r(x) = x**2 - 13*x + 39. Let d be r(12). Suppose 9 = 3*f - d. What is the remainder when 371 is divided by f?
11
Suppose 20*y - 270 = -2*f + 18*y, -270 = -2*f + 4*y. Calculate the remainder when 520 is divided by f.
115
Let n(g) = -13*g - 132. Suppose -9*d - 21*d = 360. What is the remainder when 259 is divided by n(d)?
19
Let b(v) = 8*v - 201. Let w(r) = -6*r - 5. What is the remainder when b(39) is divided by w(-4)?
16
Let i be (0/1)/(-2 + 0). Suppose i = 2*r + 4 - 8, -2*r = g - 911. Calculate the remainder when g is divided by 35.
32
Let i be ((-28)/3)/(-1)*(-137 + 143). What is the remainder when 104 is divided by (-21)/i + (-1029)/(-56)?
14
Suppose 0 = a - 36 - 53. Let j(v) = 2*v + 11. Let s be j(14). Suppose 0 = -41*k + 44*k - s. What is the remainder when a is divided by k?
11
Suppose -u - 7*z + 120 = -2*z, 2*u = 2*z + 240. What is the remainder when 599 is divided by u?
119
Let m(q) = -q**3 - q**2 + 106*q - 96. Calculate the remainder when 3839 is divided by m(9).
47
Let c = -1073 + 2147. Let f = c + -969. Calculate the remainder when 522 is divided by f.
102
Suppose 0 = 4*r - 20, -2*k + 4*r + 16 = -84. Suppose m = 4 + 39. Let j = k - m. Calculate the remainder when 28 is divided by j.
11
Calculate the remainder when (-9042)/5*((-15)/45)/(28/1470) is divided by 184.
183
Let f(y) = -2*y + 3. Let p be f(0). Suppose 9 = p*i, -2*d - 49 = -6*d + i. Calculate the remainder when (-144)/(-30)*(-40)/(-6) is divided by d.
6
Suppose 347*v = 216*v + 57247. What is the remainder when v is divided by 55?
52
Let w be (-1 - -84)/(3 - 2)*3. Suppose -w = s - 262. Suppose l + l = 438. What is the remainder when l is divided by s?
11
Let s(l) = -4*l**2 + 277*l - 569. What is the remainder when 1736 is divided by s(67)?
2
Let a(f) = -4*f**2 - 12*f + 6*f + 0*f**3 + f**3 - 4 + 3*f. Let z(v) = v**2 + 6*v + 3. Calculate the remainder when a(5) is divided by z(-6).
0
Suppose 2*u = -t + 9 + 23, 3*u - 3*t - 39 = 0. Calculate the remainder when 537 is divided by u.
12
Suppose -2822 + 735 - 729 = -64*g. Calculate the remainder when 1259 is divided by g.
27
Let z be (-25)/(-30)*-64*(-12)/10. Let k = -41 + 60. Calculate the remainder when (z/(-160))/(134/135 + -1) is divided by k.
16
Suppose -378 + 148 = 10*u. Suppose -26 = -0*y - 2*y. What is the remainder when 2 - 0 - (-7 + u + -6) is divided by y?
12
Let t = 2282 - 2236. Calculate the remainder when 270 is divided by t.
40
What is the remainder when 21/630*42154 + (8/(-15))/4 is divided by 38?
37
Let j(k) = k**3 + 4*k**2 - 2*k - 11. Let x be j(-5). Let g(l) = -l**2 - 22*l - 31. Let h be g(-21). Calculate the remainder when 49 is divided by x/h*70/14.
10
Suppose w + 59 = 5*o, o + 12*w - 8*w + 5 = 0. Calculate the remainder when 548 is divided by o.
9
Let j(y) = 420*y - 1250. Calculate the remainder when 879 is divided by j(3).
9
Let f = 851 + -803. Suppose 3*r - f = -5*j, r - 41 + 8 = 4*j. Calculate the remainder when 2/(-10) + (-804)/(-20) is divided by r.
19
Suppose -2 = t + 2*j - 9, 0 = -2*j + 4. Suppose 6 = -26*c + 162. Calculate the remainder when c is divided by t.
0
Let d be (-1251)/15 + -2 + 4/10. Suppose 0 = -31*f + 34*f - 306. Let x = d + f. What is the remainder when 75 is divided by x?
7
Let f = -18 + -3. Let b = 51 + f. Suppose -65*w + b = -60*w. Calculate the remainder when 16 is divided by w.
4
Suppose b + 2*x - 6121 = 0, 2*b + 17*x - 12*x - 12244 = 0. Calculate the remainder when b is divided by 36.
33
Suppose 2*z + 1073 = -2*j + 1203, -j + 29 = -5*z. What is the remainder when 233 is divided by j?
56
Suppose 2449 = 10*g + 21*g. What is the remainder when 314 is divided by g?
77
Suppose -2*g - 15 = -5*b - 10, -2*g + 13 = b. Suppose 3*c - 15 = 0, -13*c + 1070 = g*q - 12*c. What is the remainder when q is divided by 24?
21
Let g be (0 + (-26)/(-8))/(8/(-128)). Let d = g + 157. Calculate the remainder when 197/7 - 15/d is divided by 8.
4
Suppose 0 = 27*x + 1090 - 6409. Calculate the remainder when 5514 is divided by x.
195
Calculate the remainder when 348 is divided by (((-153)/1020)/(2/(-16)))/(9/2460).
20
Suppose 14*a + 178 = 1956. What is the remainder when a is divided by 4?
3
Let s(i) = -5*i + 155. Let v(c) = 4*c - 154. Let a(t) = -2*s(t) - 3*v(t). What is the remainder when a(31) is divided by 4?
2
What is the remainder when (-678)/(-565) - (-29948)/10 is divided by 79?
73
Let i(j) = j**2 - 18*j + 7. Let h = 552 + -533. Calculate the remainder when 440 is divided by i(h).
24
Let j = 18719 + -18710. Suppose 2*q = -3*q + 70. What is the remainder when q is divided by j?
5
Let v(a) = -a**3 - 6*a**2 - 4*a + 7. Let c be v(-5). Suppose 5*h - c = 6*h. Let s(q) = -18*q + 1. What is the remainder when 107 is divided by s(h)?
33
Let t be -1*2*1 - -1. Let a(d) = -104*d - 155. Let g be a(-2). Calculate the remainder when -2 + t + 1 + g is divided by 18.
15
Let n(r) = 232*r - 20869. Let z = -200 - -312. Let s = -70 + z. What is the remainder when s is divided by n(90)?
9
Let b be ((-4)/5)/(-5 + (-831)/(-165)). Calculate the remainder when 74 is divided by (-4)/b + ((-4992)/22)/(-6).
36
Let f(m) = -m**3 + 6*m**2 - 5*m - 2. Let b be f(5). Let n(a) = -a**3 - 5*a**2 + 5*a + 9. Calculate the remainder when (-7 - b)/(-5) - -26 is divided by n(-6).
12
Let r = -38 - -73. Let a = -25 + r. Let y = 206 - 178. What is the remainder when y is divided by a?
8
Let x be (2770/(-20))/((-92)/(-32) + -3). Suppose -15*r + x = 193. Calculate the remainder when r is divided by ((-7)/(-2))/(5/30).
19
Calculate the remainder when 1107 is divided by (87 - (-3 - -6)) + -29 + 19.
71
Let y = -10191 - -10761. What is the remainder when y is divided by 81?
3
Let n(l) = 4*l + 6. Let a be n(2). Calculate the remainder when (a/56)/((-1)/(-68)) is divided by 9.
8
What is the remainder when 803 is divided by (9 - 1957/(-38))*2?
77
Let l = 3053 - 2162. Suppose -l = 57*x - 66*x. Let y(q) = q**3 + 2*q**2 - 3*q - 2. What is the remainder when x is divided by y(3)?
31
Let v = -11476 - -11616. What is the remainder when v is divided by 16?
12
Suppose 3*w - 3*y = 6, -8*w + 4*w - y + 8 = 0. Suppose -3*k + 44 = -2*o, w*k = -3*k - 2*o + 68. Calculate the remainder when 108 is divided by k.
10
Suppose -16*t = -236 + 4 - 120. Calculate the remainder when (60/(-7))/((-2)/35) is divided by t.
18
Let g be (-288)/4 - (-4 + 5). Let l = -59 - g. What is the remainder when 403 is divided by l?
11
Suppose 4*d - 5*k = 96 + 136, 0 = -2*k. Suppose 4*z + 351*r - 356*r = 177, -4*z + 127 = 5*r. What is the remainder when d is divided by z?
20
Let k be (64/(-6) - 14/(-21))/2. Let j(b) = -17*b - 7. What is the remainder when j(k) is divided by 43?
35
Suppose 20*b + 557 = 21*b. What is the remainder when b is divided by 16?
13
Let s = -10 - -2. Let g(t) = -2*t + 1. Suppose -535*u = -4970 - 380.