hen b is divided by 22.
20
Suppose 10*o = 15*o - 5795. Suppose -4172 + o = -23*g. What is the remainder when g is divided by 48?
35
Let l(j) = 8*j**3 - j. Let c be l(-1). Let p = c + 35. Suppose 69 = 5*w - 3*g - p, w - 5*g - 37 = 0. What is the remainder when w is divided by 5?
2
Suppose -517*q = -512*q + 4*d - 504, 186 = 2*q - d. Calculate the remainder when 425 is divided by q.
41
Let o(k) = 5*k**2 + 43*k - 16. Calculate the remainder when 552 is divided by o(-12).
176
Suppose -9*h - 58932 = -6*h - 12*h. Calculate the remainder when h is divided by 72.
68
Let f(k) = 4*k**3 + 2*k**2 - 13*k + 17. Suppose 116*u = 137*u - 42. What is the remainder when 130 is divided by f(u)?
6
Suppose -5*f = -g, 10*g - 3*f - 10 = 9*g. Calculate the remainder when 95 is divided by g.
20
Let p = 101 + -54. Suppose p = 6*s - 49. Let n = 44 - s. Calculate the remainder when n is divided by 18.
10
Let x(v) = -10*v + 52. Let a be x(5). Suppose -22*b + 193 = 4*l - 25*b, 4*b - 124 = -a*l. What is the remainder when 412 is divided by l?
48
Let u(g) be the second derivative of -g**4/3 - 5*g**3/6 + 3*g**2 - 20*g. Let m be u(5). Let c = -72 - m. What is the remainder when c is divided by 10?
7
Suppose 63*q + 17*q = 5*q + 13725. What is the remainder when 1456 is divided by q?
175
Suppose 9*y - 6*y - 1611 = 0. Suppose -j + 69 = -4*t, 3*j - t - 162 = 2*t. Calculate the remainder when y is divided by j.
47
Let j(h) = 180*h - 1358. Calculate the remainder when j(10) is divided by 43.
12
Let c be -6 - (-18)/(-6)*-2. Suppose 2*p - 1430 = -4*n, 5*n - 3555 = -5*p - c*n. What is the remainder when p is divided by 71?
68
Suppose 3*f = -3*s - 30, -31 = 4*f + 3*s + 10. Let u = 22 + f. Let p = -1368 - -1398. Calculate the remainder when p is divided by u.
8
Suppose -73*a - 31*a = -2047 - 969. Let o = -5 - -11. What is the remainder when a is divided by o?
5
Suppose -5*o - 3*t + 0 + 14 = 0, -t = -o - 2. Suppose -l + o = -17. What is the remainder when 122 is divided by l?
14
Let v(q) = 2*q + 8. Let m be v(-4). Suppose -5*w = 0, 2*x - 5*w + 6*w - 12 = m. What is the remainder when 11 is divided by x?
5
Let o(z) = 14*z - 72. Let k = 274 + -75. Calculate the remainder when k is divided by o(7).
17
Suppose 534 = 50*a - 448 + 32. Calculate the remainder when 202 is divided by a.
12
Suppose 13*w = 8*w + 150. Let s = -13 - -22. What is the remainder when -5 + 4 + w + 5 is divided by s?
7
Suppose 4*d - x = 92, -4*d - 5*x + 46 = -d. Let u(r) = 3*r**2 + 2*r + 41. What is the remainder when u(4) is divided by d?
9
Let i(x) = -25*x - 29. Let w be (-1)/(12/56 - 10/(-35)). What is the remainder when 60 is divided by i(w)?
18
Calculate the remainder when (1 + 2538/(-30))*(2 - 7) is divided by 107.
97
Suppose -5*i + 4*i + 6 = 3*o, 4*i - 24 = -3*o. Suppose -i*r + 318 = -486. Let f = r + -72. Calculate the remainder when f is divided by 16.
14
What is the remainder when 92 is divided by 6*1 - (208 + -242)?
12
Suppose -2*k + 29 + 87 = -4*d, -260 = -4*k + d. Let i = 5 - -36. Calculate the remainder when i is divided by ((-2)/(-3))/(4/k) + 0.
8
Let s(b) = b + 86. Let o be s(-16). Calculate the remainder when (-46342)/(-187) + -3 + o/22 is divided by 23.
18
Let n(u) = -3*u**2 - 53*u - 34. Let o be n(-17). Suppose -20*x + 71 + 989 = o. Calculate the remainder when x is divided by 21.
11
Let x be (0 + 5/3)/(40/48). Let q(a) = 3*a**2 - 2*a - 3. Let g be q(-1). Suppose x*v - g = -0. What is the remainder when 5 is divided by v?
0
Let q be 18/10 - (-5)/25. Let m be 23 + q - (-1 + -3). Let g = m + -19. What is the remainder when 37 is divided by g?
7
Let j(q) be the second derivative of q**3/6 - q**2/2 - 6*q. Let s(c) = 2*c + 29. Let d(x) = 6*j(x) - s(x). Calculate the remainder when 23 is divided by d(12).
10
Let t(b) = -104*b - 4026. Suppose -332 = 5*u - 9*u. What is the remainder when u is divided by t(-39)?
23
Let i(r) = r**2 - 3*r - 14. Let o be i(6). Let w be ((-5)/(-3 + 2) + 3)*o. Suppose 154 = 6*c - w. What is the remainder when c is divided by 19?
12
Calculate the remainder when 2551 is divided by (-3)/(-5) + 186*7/30.
43
Suppose -305*s + 772164 + 169665 = 150964. Calculate the remainder when s is divided by 2588.
5
Calculate the remainder when 82 is divided by (18/(-8))/(33/88) - -44.
6
Let o(a) = a**3 - 18*a**2 - 41*a + 63. Let w be o(20). Suppose -2*s + 2*t + 105 = -w, 3*t - 94 = -s. What is the remainder when 394 is divided by s?
78
Let z(u) = 20*u - 17*u + 4*u - 13. Let j be z(3). Suppose h - 29 = j. Calculate the remainder when 146 is divided by h.
35
Let g be (-636)/10 + -2 + 32/20. Let c = -58 - g. Suppose 42 = c*d + d. What is the remainder when 27 is divided by d?
3
Let k = 254 + -249. Suppose 3*d = -5*t + 659, 2*d = -k*t + 6*t - 124. Calculate the remainder when t is divided by 23.
15
Let f(g) = 4*g + 37. Let q be f(-5). Calculate the remainder when 195 is divided by 6/(-9)*q/(51/(-126)).
27
Suppose -k + 0*k + 2*n + 2 = 0, -k + 4 = -n. Let u = 29 + -1. What is the remainder when u is divided by ((-1)/3)/(k/(-288))?
12
Suppose -16*x + 45 = -11*x. Suppose 9*i = 10*i - x. What is the remainder when 34 is divided by i?
7
Suppose 954 = 3*q - 3*t, 173*t - 626 = -2*q + 177*t. Calculate the remainder when q is divided by 60.
23
Suppose 0 = -b - 5*k + 103, b + 5*k - 98 = k. Let q = -46 + b. What is the remainder when 222 is divided by q?
30
Suppose 0 = -x, x + 4 = 2*w - x. What is the remainder when 1/6*(187 - 145) is divided by w?
1
Let f = -4143 + 4575. What is the remainder when f is divided by 211?
10
Let w(o) = -24*o**2 - 90*o + 6. What is the remainder when 184 is divided by w(-3)?
4
Let s be (194 + -8)*4 - -3. Suppose z - 2974 = -10*c + 6*c, c + 2*z - s = 0. What is the remainder when c is divided by 62?
61
Suppose -207*q + 220*q - 527 = 552. Calculate the remainder when q is divided by (-128)/(-6) - (-4)/(-12).
20
Suppose 3*m = 7*m - 144. Let w = -94357 - -94391. What is the remainder when w is divided by (2/3)/(2/m)?
10
Let p = -5 + 4. Calculate the remainder when 389 is divided by 7/(2 + p)*(17 + -3).
95
Let s(p) = -4*p - 45. Suppose -3*x + 1032 = 5*x. Suppose 0 = -3*a - 0*a + x. Calculate the remainder when a is divided by s(-14).
10
Let c = -1246 - -1874. Calculate the remainder when c is divided by 23.
7
Let j(a) = -3 + 0 + 13*a**2 - 3 + 0 - 6*a. Let m be j(-4). Suppose -4*h + m = -86. What is the remainder when h is divided by 40?
38
Let u(v) = -379*v + 23. Let g be u(-7). Suppose 20*f = 8*f + g. What is the remainder when f is divided by 25?
23
Suppose -2*g + 5*g = 2*i + 3, 3*g - 3*i = 3. What is the remainder when 1 + (99 - 4 - 2) is divided by g/(-2 + 1)*(-152)/8?
18
Let f = -216 + 216. Suppose f = -221*w + 219*w + 50. Calculate the remainder when w is divided by 16.
9
Let m(h) = -215*h**3 + 214*h**3 + 10 + 17*h**2 - h - 16*h. Let y be m(16). Calculate the remainder when 26 is divided by ((-2)/6)/(y/180).
6
What is the remainder when 311 is divided by 8/44 + (-1188)/(-121)?
1
Let u = 45 - 23. Suppose 1393 = 186*b - 68*b - 6041. What is the remainder when b is divided by u?
19
Let r(k) = -k**2 - 18*k - 26. Let q be r(-8). Suppose 5*f - 2*j - q = 155, -6 = -2*j. What is the remainder when f is divided by 23?
20
Calculate the remainder when 761 is divided by (-4 - 63/(-27)) + (-358)/(-6).
7
Suppose -2*o - 10 = -7*o. Suppose -y + 38 = -5*c, -3*y + o*c + 53 + 22 = 0. What is the remainder when y is divided by 18?
5
Let j = -3946 - -4262. What is the remainder when j is divided by 101?
13
Suppose 0 = -3*b - 5*b + 136. Suppose -7*j + b = -32. What is the remainder when (-580)/(-44) + 4/(-22) is divided by j?
6
Let p(a) = 37*a**2 + 6*a + 5. Let y be p(4). Suppose 10*r - y + 531 = 0. What is the remainder when 58 is divided by r?
4
Suppose u + 2*z - 7 - 5 = 0, 3*u + 4*z = 42. Suppose -4*y = -27 - 21. Calculate the remainder when u is divided by y.
6
Suppose -100 = -5*n - 5*x, -4*n + 9*n = -x + 96. What is the remainder when 94 is divided by n?
18
Suppose -2543*y + 2544*y = 26. What is the remainder when 58 is divided by y?
6
Let u = 3098 - 3059. Let p = -1 - -3. Suppose -469 = -4*y + 3*l, 0 = -2*y + p*l - 6*l + 218. What is the remainder when y is divided by u?
37
Let p = 48 - 43. Suppose -226 = -5*r - 4*q, p*r + q - 3*q = 232. Calculate the remainder when 88 is divided by r.
42
Suppose 49 