when t is divided by 19.
12
Let o = 40 + 69. Let k = o - 102. Calculate the remainder when k is divided by 5.
2
Suppose -5*p + 208 + 189 = 3*b, 4*b = 4*p + 508. What is the remainder when b is divided by 19?
15
Suppose -14*y - 57347 + 57501 = 0. Calculate the remainder when 2379 is divided by y.
3
Suppose -3*x + 9*r + 15492 = 12*r, -3*r - 20656 = -4*x. What is the remainder when x is divided by 18?
16
Let y be (5/2)/(70/168). Let c be 1*y/4*(0 + 2). Suppose -4*j - 125 = -2*a + 65, 380 = 4*a + c*j. Calculate the remainder when a is divided by 24.
23
Let q(m) = m**2 - 22*m + 207. What is the remainder when q(-44) is divided by 9?
6
Suppose 146 = 5*c + 2*s, 3*c + 3*s = -2*s + 80. What is the remainder when -7 + 728/98 + 9456/84 is divided by c?
23
Let l = -29 + 31. Suppose 0 = -q + 3*h + 53, q - 110 = -q + l*h. Suppose m - 3*u = 24, 13*m - 54 = 10*m + 3*u. Calculate the remainder when q is divided by m.
11
Suppose 5*g - t = -1900, 5*g + 6*t + 1900 = 3*t. What is the remainder when ((-2)/(-5))/(-2 - 762/g) is divided by 28?
20
Let u = 99 - 91. What is the remainder when -9 + u + 100/2 is divided by 10?
9
Let h be ((-216)/(-42))/(-9)*(-7)/2. Suppose 2*f = 2*n - 176, -h*n + 4*f = n - 261. Calculate the remainder when 908 is divided by n.
89
Suppose -4*m = 39 - 255. Suppose -3*d - 2 - 1 = 0. Calculate the remainder when m is divided by 21/(-6)*(2 - (d + 7)).
12
Let h be -1 - (24/(-30) + 52/(-10)). Suppose i = -2*m + 4*i - 3, -m = -h*i + 19. What is the remainder when 297 is divided by m?
3
Suppose 206*p + d = 201*p + 2465, -2*p + 986 = 2*d. Calculate the remainder when p is divided by 84.
73
Let q(o) = -o**3 + 8*o**2 - 6*o - 16. Suppose 2*s - 8 = 4. What is the remainder when 57 is divided by q(s)?
17
Let w(p) = 2*p**2 + 2*p - 5. Let u = 60470 + -60367. Calculate the remainder when u is divided by w(4).
33
Let m(d) = -57*d**2 - 228*d + 12. What is the remainder when 64 is divided by m(-4)?
4
Suppose -446 = 3*m - 0*i - 4*i, 3*m + 421 = -i. Let n = m + 150. Calculate the remainder when 23 is divided by n.
7
Calculate the remainder when (11 + -4)/((-10 - 11)/(-3297)) is divided by 140.
119
Let m = -2345 + 2416. Let x = -8 + -10. Let t = 30 + x. Calculate the remainder when m is divided by t.
11
Let u = 11207 + -10778. Calculate the remainder when u is divided by 98.
37
Suppose 355 = 5*o + 25. Let q = o + -52. Calculate the remainder when (5/4)/((-1)/(-44)) is divided by q.
13
Suppose 3*a + 36 = -16*a + 21*a. Suppose 0 = 5*g + 5*u - 10, u + 1 = -4*g + 3. Calculate the remainder when a is divided by 2/(3/12 - g).
2
Suppose 5*a = i - 86 - 33, -4*a - 412 = -4*i. What is the remainder when i is divided by 50?
49
Suppose -3*n - 4 = i - 0, -3*i - 12 = -5*n. Suppose -7*g + 11 + 17 = n. Calculate the remainder when g is divided by 1.
0
Let l = -251 - -19. Let j = -220 - l. What is the remainder when j is divided by 2?
0
Let n = -456 - -858. Let d = n - 94. Suppose -14*w + d = -12*w. Calculate the remainder when w is divided by 40.
34
Suppose m - 108 - 162 = 4*o, -2*m + 552 = -5*o. Suppose 3*y - 29*y = -m. What is the remainder when 14 is divided by y?
3
Let q = -839 - -854. Let b = 6 + -4. Let m = b + q. What is the remainder when 67 is divided by m?
16
Suppose 0 = -50*w + 12838 + 5762. What is the remainder when w is divided by 62?
0
Let u = -191 - -193. Suppose -t = -a + 3, 3*a - u*t = 6*a - 19. Calculate the remainder when 27 is divided by a.
2
Suppose 2*b - 8 = 4*b. What is the remainder when (4 + (-69)/15)/(10/(-1400)) is divided by ((-86)/4)/(2/b)?
41
Let p(m) = 9*m**2 + 12*m + 20. Let o be p(-5). Let r = o - 40. Calculate the remainder when r is divided by 40.
25
Let x = -6349 + 6416. What is the remainder when 191 is divided by x?
57
Let c(f) = -f**2 - 14*f - 23. Calculate the remainder when (-8)/12*3*-1 is divided by c(-12).
0
Let j be 14/(-35) + -2 + 26/(-10). Let x(t) = -t**3 - 5*t**2 - 3*t + 10. Let q be x(j). What is the remainder when 59 is divided by -3 - q/(-5) - (-30 - -1)?
28
Let d(s) = 21*s + 371. Calculate the remainder when 223 is divided by d(-15).
55
What is the remainder when ((-15000)/36)/(-5)*(1 + (-3)/(-6)) is divided by 4?
1
Let i = 25411 + -23844. Calculate the remainder when i is divided by 130.
7
Let u(r) = -81*r + 189. Let n be u(8). Let q = -444 - n. Calculate the remainder when 432 is divided by q.
12
Suppose 0 = u - 6*u + 100. Suppose 0 = -2*p + 30 + u. Calculate the remainder when (-5 + -5)*(-408)/85 is divided by p.
23
Suppose -2*r = -5*b + 2048 + 796, 1725 = 3*b + 5*r. Suppose 60*k - 57*k = b. Calculate the remainder when k is divided by 39.
34
Suppose 6*q = 12102 + 14316. Suppose -43*l - 1608 = -q. What is the remainder when l is divided by 17?
14
Let j(s) = 13*s - 6. Let x be j(2). Suppose -710 = -10*v + x. What is the remainder when v is divided by 29?
15
Suppose -5*s = -5*a - 2*s + 79, 0 = 5*s + 15. Let i(r) = 2500*r - 22478. What is the remainder when i(9) is divided by a?
8
Let l = -12 + 17. Suppose -4*c = -17*c + 65. Suppose c*v - g - 238 = 3*g, -l*g = -3*v + 148. Calculate the remainder when v is divided by 12.
10
Let l(b) = -7*b**3 + b**2 - 29*b - 2. Let z(i) = -i**3 + i**2 - i - 2. Let g(h) = l(h) - 6*z(h). What is the remainder when g(-7) is divided by 68?
65
Let q = -43 + 49. Let x(z) = z**2 + 13*z - 2. Let n be x(-12). Let v = n - -27. Calculate the remainder when v is divided by q.
1
Let l(u) = 109*u**2 - 897*u + 10. Calculate the remainder when 766 is divided by l(9).
0
Suppose -336*p = -332*p - 5*a - 184, 3*a = -3*p + 84. Calculate the remainder when 262 is divided by p.
10
Suppose 0 = -5*s - 2*t + 4*t + 1389, -3*s + 3*t = -828. Calculate the remainder when s is divided by 66.
15
Let s(x) = 8*x**2 - 7*x + 3. What is the remainder when s(6) is divided by 1 - (-606)/36 - (57/(-18) - -3)?
15
Let u(q) = 0*q + 0*q - 23 - 3*q. Let y = -604 - -591. Calculate the remainder when 77 is divided by u(y).
13
Let z(j) = -20 - 2*j**2 + 9*j - 8*j - 33*j. Calculate the remainder when 4/14 + (-388)/(-14) is divided by z(-15).
8
Let p(h) be the second derivative of 0 + 1/3*h**3 + 2*h**2 + 1/12*h**4 + 7*h. What is the remainder when p(0) is divided by 4?
0
Let f = -129 - -125. What is the remainder when 187 is divided by f + (3 + 25)*1?
19
Suppose -516 - 419 = -58*s + 631. What is the remainder when 2184 is divided by s?
24
Let d(o) be the first derivative of o**2/2 + 32*o - 28. Calculate the remainder when 141 is divided by d(-14).
15
Let b be 0 - (0 + -26) - 24/8. Let p = 49 - b. Let h = 34 - p. What is the remainder when 31 is divided by h?
7
Let q(f) = 55*f + 39. Suppose -4*i + 226 = 34. What is the remainder when q(8) is divided by i?
47
What is the remainder when (-24)/(-5)*375/25 + 0 is divided by 71?
1
Let a = 331 - 331. Suppose -5*b + 28*b - 828 = a. What is the remainder when (-1 - 45)*3/(-2) is divided by b?
33
Calculate the remainder when ((-128)/(-256))/(1 + (-603)/606) is divided by 49.
3
Suppose 6*z + 2 - 8 = 0. Suppose 0 = 5*p - 4*c - 20, -p + z = -3*c - 3. Suppose -s + 0*s = -p. Calculate the remainder when 6 is divided by s.
2
Calculate the remainder when ((-1)/(-15) - 186337/(-1020)) + (-1)/(-4) is divided by 182.
1
Let m(z) = z**2 - 120*z + 1065. Calculate the remainder when 27453 is divided by m(9).
63
Suppose 3*b - 6 = 0, 51*a - 53*a + 3*b + 26 = 0. Suppose 3*g + 4*t = 197, -g - 3*t - 19 + 93 = 0. Calculate the remainder when g is divided by a.
11
Suppose 495710 - 153430 = 172*n. What is the remainder when n is divided by 24?
22
Let n = 2233 + -1254. Calculate the remainder when n is divided by 90.
79
Let v(a) = 3*a - 25. Let z(h) = 21*h - 177. Let i(l) = 27*v(l) - 4*z(l). Let q be i(11). Suppose q*p + 48 = 4*p. What is the remainder when p is divided by 3?
0
Suppose -3 = 2*b + 4*h - 5, b - 4*h = 19. Let d = -3669 + 3671. What is the remainder when b/(-21) + 26/6 is divided by d?
0
Suppose -2*m - 2 = 0, 2*w - 2*m - 35 = 41. Suppose u = 64 + w. Let v = 108 + -74. What is the remainder when u is divided by v?
33
Let s(w) = -w**2 + 15*w - 36. Let k be s(12). Suppose 108 = c - 5*l, k = 2*c + 5*l - l - 258. Let n = -12 + 26. What is the remainder when c is divided by n?
11
Suppose d - 141 = -o, -2445 = -17*o - 31*d + 30*d. Calculate the remainder when o is divided by (-2)/(-3) - (-290)/6.
46
Suppose x + 5*j