Calculate the remainder when g is divided by b.
1
Suppose 423 = -3*a + 3*x, 2*x - 8 = -a - 149. Let g = a + 168. Calculate the remainder when g is divided by 16.
11
Suppose -7*a + 3*k = -3741, -5*k = -4*a - a + 2655. What is the remainder when a is divided by 36?
33
Suppose 76*a - 71*a - 380 = 5*l, 5*l = a - 72. What is the remainder when a is divided by 19?
1
What is the remainder when 16699 is divided by (-12 + (-14)/28)/(14/8 + -2)?
49
Suppose -9*f - c + 4*c + 1920 = 0, 4*f = 2*c + 854. Calculate the remainder when f is divided by 124.
89
Suppose 344*t = 348*t - 1684. Let x = 837 - t. Calculate the remainder when x is divided by 38.
36
Suppose -2*a + 64 = -a - 5*u, 0 = a - u - 68. What is the remainder when ((-16)/(-7))/(5 - (-19539)/(-3913)) is divided by a?
68
Let n = 29 - 28. Let i be ((-3 + 5 - -3)*1)/n. Suppose -i*j + 739 = 134. What is the remainder when j is divided by 31?
28
Let q(c) = c**3 - c + 90. Let m be q(0). Suppose 78*y - 5514 = 560 + 3754. Let o = y - m. What is the remainder when 179 is divided by o?
35
Suppose 5*w = 2*c - 45829, 0*w + 3*w - 5*c + 27505 = 0. Calculate the remainder when (-3)/(-24) + (w/(-24) - 4) is divided by 76.
74
Let w = -73 + 82. Suppose -r = -w*r - 2320. What is the remainder when 32 is divided by 2/(-15)*-5 + r/(-15)?
12
Calculate the remainder when 3*(-8)/44 - (-883675)/143 is divided by 27.
23
Suppose 5*m + 46 = a, -2*a + 70 = -11*m + 12*m. Suppose -64 = -o - a*w + 35*w, 2*o - w - 125 = 0. What is the remainder when 124 is divided by o?
61
Let c(d) = d**3 - 27*d**2 + 7*d - 127. Calculate the remainder when 179 is divided by c(27).
55
Let v(x) = -x**3 + 5*x**2 - x + 7. Let c be v(5). Suppose 46 = 2*b - 2*n, 0 = n + 4*n + 5. Suppose b = c*k - 4. What is the remainder when 36 is divided by k?
10
Suppose -44*r + 9975 = -5469. Calculate the remainder when r is divided by 86.
7
Calculate the remainder when (-21 + (-170)/(-40))*-24 is divided by 124.
30
Let x(q) = -8*q**3 - 6*q**2 - q - 41. Let h be x(-5). Let k = 857 - h. What is the remainder when 179 is divided by k?
7
Let s = 5401 + -5194. What is the remainder when s is divided by 52?
51
Let d = 22 - 10. Let b be (-3)/4 - 165/(-44). What is the remainder when d is divided by (2/b)/(6/45)?
2
Suppose 50*c - 1760 - 2390 = 0. Calculate the remainder when 430 is divided by c.
15
Suppose -1777 - 1098 = -11*r - 92. Calculate the remainder when r is divided by 69.
46
Let b = -2441 + 3809. What is the remainder when b is divided by 104?
16
Let g = -10 - -33. Suppose -g*l + 101 = -152. Let r(i) = i**2 - 11*i + 8. What is the remainder when l is divided by r(11)?
3
Suppose 5*l - 4*j - 88 = 82, 0 = -5*j - 25. Suppose 0 = -2*y + 64 + l. Let p(n) = n**3 - 3*n - 2. What is the remainder when y is divided by p(3)?
15
Let d(z) = 217*z**2 - 19*z + 1. Let a(j) = 868*j**2 - 77*j + 4. Let v(b) = -2*a(b) + 9*d(b). What is the remainder when v(2) is divided by 93?
91
What is the remainder when 2603 is divided by 1/4*(4 - -592) + 4?
2
Suppose 0 = -5*z, 3*p - 18 = 5*z + 51. Suppose 20*m = p*m - 207. Let u = -54 + m. Calculate the remainder when 43 is divided by u.
13
Suppose 4*q - 7269 = -s - 475, -2*s + 4*q + 13540 = 0. Calculate the remainder when s is divided by 12.
10
Suppose -9*y = 12*y - 588. Suppose 22*f + 108 = y*f. Calculate the remainder when 85 is divided by f.
13
Suppose -426*x + 3*n + 32 = -425*x, 2*x = -3*n + 109. Calculate the remainder when 95 is divided by x.
1
Let m(v) = -v**3 - 6*v**2 + 6*v + 9. Suppose -t - 1441 + 5716 = 44*t. What is the remainder when t is divided by m(-7)?
15
Let q(c) = -c**3 - 6*c**2 + 3*c - 6. Let x(b) = b**2 + 2*b - 15. Let w be -4 + (10 - 5 - 5). Let u be x(w). What is the remainder when 65 is divided by q(u)?
21
Let q(o) = -19*o + 124. Let l be q(8). Calculate the remainder when 25 is divided by (-427)/l + 5/(-20).
10
Let l be (21 - 5)*(-4)/(-16). Suppose 2*p = 24 - 4. What is the remainder when 32 is divided by p/(l + -9) + 7?
2
Suppose -4*o = -2*o - 2*r - 6, 2*r = 3*o - 7. What is the remainder when (-68757)/(-82) + (o/1)/2 is divided by 56?
55
Let y(x) = 8*x**2 - 311*x + 936. Let c(k) = -3*k + 10. Let s be c(13). Let m = 45 + s. Calculate the remainder when y(3) is divided by m.
11
Suppose 19*x = -14*x + 396. Let q be (-4 - -5)/(1/(-124)). Let p = q + 207. What is the remainder when p is divided by x?
11
Let n be ((-10)/(-30))/(2/546). Suppose 5*m + n = 311. What is the remainder when m is divided by 9?
8
Let q = -11 + 8. Let j be q*(4 - (-38)/6). Let t = 42 + j. Calculate the remainder when 27 is divided by t.
5
Let n(i) = 19*i**2 - 318*i - 39. What is the remainder when 3401 is divided by n(17)?
43
Let x be (-5 + 4)/((-2)/(-4)). Let y(i) = -4*i**3 - 3*i - 4. Calculate the remainder when 96 is divided by y(x).
28
Let k(n) = -25*n**2 + 15*n - 76. Let z be k(5). Let q = z - -647. What is the remainder when 291 is divided by q?
18
Let j be 9/2*(733 + 11). Suppose 0 = 16*r + 11*r - j. What is the remainder when r is divided by 63?
61
Let o(v) = -4*v**2 - 22*v - 187. Let m be o(-7). What is the remainder when (-1 + m)*(-11 + 147/14) is divided by 65?
50
Suppose 37*n - 24*n - 2405 = 0. Let w(l) = l**3 + 17*l**2 - 19*l + 29. Calculate the remainder when n is divided by w(-18).
44
Suppose -3*y - 30 = -3*p, 0*y = 2*y. What is the remainder when p is divided by -6*(-2 - 9/(-6))?
1
Suppose -4*a - 10 = 2*b, -5*b = -3*a + 1 + 37. Calculate the remainder when b/28 - (-554)/8 is divided by 14.
13
Suppose -4*w + 3*z + 330 = 0, -w + 0*w = 3*z - 75. Let v(y) = 14 - 57 + 6*y + 10*y - 14*y**2 + 13*y**2. What is the remainder when w is divided by v(6)?
13
Suppose -4 = 15*n - 34. Calculate the remainder when 154 is divided by n.
0
Suppose 7447 = 125*g - 5678. Calculate the remainder when g is divided by 93.
12
Let a be (81/(-45))/(-2 + (-29)/(-15)). Suppose 5*s + 4*g - 1120 = 0, 3*g = -5*s + 1147 - a. What is the remainder when s is divided by 15?
14
Suppose 5*z = 3*z + 56. Let l be -4 - 7/((-7)/8). Suppose 4*i + l*j - 192 = -0*j, -i + 28 = 5*j. Calculate the remainder when i is divided by z.
25
Let g = -497 + 497. Suppose g = -24*r + 29*r - 645. Calculate the remainder when r is divided by 44.
41
Suppose 602*s + 2 = 603*s, -5*f + 3*s = -344. What is the remainder when 2448 is divided by f?
68
Suppose 23*a - 26*a + 36 = 0. Suppose -d - a = -4*d. Suppose 2*w = -4 + 38. Calculate the remainder when w is divided by d.
1
Let t = -13139 + 13493. What is the remainder when t is divided by 96?
66
Calculate the remainder when 4291 - 84/(-6) - -4 is divided by 28.
25
What is the remainder when (2944/2 + 5 - 6) + (3 - 7) is divided by 113?
111
Calculate the remainder when 783 is divided by 27*28/12 - 7.
55
What is the remainder when 5847 is divided by (-5)/(-25) + (-1790)/(-50) + 5 - 2?
36
Suppose -374*h + 730 = -379*h. Let u = -80 - h. What is the remainder when u is divided by 2?
0
Suppose -h - 5*p - 62 + 3 = 0, 5*h - p + 399 = 0. Let u = -95 - h. Let l(j) = j**2 + 13*j - 9. What is the remainder when 74 is divided by l(u)?
35
Suppose -59 = -2*f + 3. Let b be -6 - (3 + 242 + -6). Let g = b - -335. Calculate the remainder when g is divided by f.
28
Suppose 2*s - 469 = -5*q, -3*s + 4*s - 377 = -4*q. Let c = q - 85. Let i(g) = g**2 - 9*g - 6. Calculate the remainder when c is divided by i(10).
2
Let m = 13 + -15. Suppose 0 = -3*i - 0*k - 2*k + 187, -5*i + 314 = k. Calculate the remainder when i is divided by (m/6)/(1/(-24)).
7
Let z be 1 + -5 + -132*8/(-3). Suppose 14*h - 26*h + z = 0. Let x(t) = -t**3 + 9*t**2 + t + 8. What is the remainder when x(8) is divided by h?
22
Let m(k) = 9*k**2 + 94*k + 489. What is the remainder when m(-5) is divided by 3?
1
Let j(t) = t**2 - 17*t + 60. Let q be j(13). Suppose 5*h - 286 = -q*h. What is the remainder when h is divided by 12?
10
Let v(s) = -4603*s - 3. Calculate the remainder when v(-1) is divided by 13.
11
Let b(t) = 2*t**2 - 51*t - 30. Let v = 207 + -178. What is the remainder when b(v) is divided by 25?
23
Let b(v) = 6*v**3 + 3*v**2 + 1. Let a be b(3). Suppose -i - 4*x = -a, 5*x = -2*i + 74 + 297. What is the remainder when i is divided by 18?
16
Let o = -275 - -375. Calculate the remainder when (-87 - 1)*(-125)/o is divided by 19.
15
Suppose 34*m = 37*m + 4*j - 188, 230 = 4*m - 5*j. Calculate the remainder