when -5 + 78/(6/1) - -5420 is divided by 194?
190
Let v(w) = -10*w**2 - 832*w + 152. What is the remainder when v(-83) is divided by 32?
30
What is the remainder when 2/(-9) + (-104915)/(-9) is divided by 22?
19
Suppose -5*q - 4*l + 2882 = 902, 3*q - 1205 = l. What is the remainder when 66 is divided by (-50)/q - (-66)/16?
2
Let c = 92 + -29. Suppose -248 = -4*f + 368. Suppose -4*b = -11*b + f. What is the remainder when c is divided by b?
19
Suppose 0 = -5*b - 4*z + 41, b + 4*z = 11*z - 23. Calculate the remainder when 32/(-12)*(-78)/8 is divided by b.
1
Suppose 451 - 907 = -6*n. What is the remainder when 454 is divided by n?
74
Let a be (-20)/5 + (-3 - 0) + 3. Calculate the remainder when 73 is divided by ((-50)/1)/(a/(-1 + 3)).
23
Let t(b) = -2*b**2 - 86*b + 31. Let m(d) = -d**3 + 4*d**2 - d + 4. Let c be m(4). Calculate the remainder when (2 + -1 - c)*61 is divided by t(-43).
30
Let r = -4305 + 4490. What is the remainder when 193 is divided by r?
8
Suppose -p - 7 = 4*c, -3*c + 4*p = -0*p - 9. Let k be 1 + c + (-8)/(-4). Suppose -k*x - 13 = -73. Calculate the remainder when 56 is divided by x.
26
Let u = -53 + 56. Suppose 9*r = u*r + 30. Suppose -189 = -4*t - k, -t + r*k + 83 = 20. What is the remainder when 191 is divided by t?
47
Suppose -8*h + 7*h + 849 = 213. What is the remainder when 649 is divided by h?
13
Suppose 1244 = 4*q + 5*y, 872 + 716 = 5*q - 2*y. What is the remainder when q is divided by 7?
1
Suppose a - 2529 = -5*m, 0 = -2*m + 2*a + 2*a + 1016. Let q = m - 464. Calculate the remainder when q is divided by 3.
0
Let n = 25499 + -25386. What is the remainder when 1825 is divided by n?
17
Let v = -244 + 297. Suppose -3*d + 52 + v = 0. Calculate the remainder when 139 is divided by d.
34
Let j be 10/2 + -2 + -6. Suppose -k + 26 = 5*q, -2*k + q + 2 = -17. Calculate the remainder when k is divided by -2 - j/1 - -6.
4
Calculate the remainder when 233 is divided by 1 - (330/45 - -6)/(2/(-12)).
71
Suppose 0 = 2*n - 2*o - 326, 3*n + 6*o - 475 = 2*o. Calculate the remainder when 5312 is divided by n.
160
Suppose 2*a - 9 = a. Let r = -41 - -39. Calculate the remainder when ((-6)/2 + -103)/r is divided by a.
8
Let s(t) = t**3 - 4*t**2 + 20*t - 13. Suppose 538 = -5*j + 198. Let x = j + 142. What is the remainder when x is divided by s(2)?
17
Let p = 487 + 1492. What is the remainder when p is divided by 44?
43
What is the remainder when 762 is divided by (-1)/(-5)*(12 + (-7)/21*-429)?
18
Suppose 3*b - 74 = 70. Suppose 2*a + 3*s = 6*s - 96, -a = 4*s + b. Let y = a + 98. Calculate the remainder when y is divided by 18.
14
What is the remainder when ((-652)/10)/((((-130)/50)/13)/1) is divided by 7?
4
Let a = -2773 + 2780. Calculate the remainder when 432 is divided by a.
5
Let r(u) be the first derivative of -37*u**2/2 + 233*u - 125. Calculate the remainder when 43 is divided by r(6).
10
Suppose 83 - 67 = -2*u. Suppose 0 = -j - j + 270. What is the remainder when j is divided by (((-88)/55)/u)/((-1)/(-115))?
20
Let z be (-1)/2*(-11 - -1). Suppose -2*f + 4*q = -20, 0*f = f + z*q + 25. Suppose f = 12*r - 14*r + 74. Calculate the remainder when r is divided by 8.
5
Let i(p) = -38*p + 2112. What is the remainder when 4017 is divided by i(54)?
57
Suppose -7*m - 216 = -9*m. Calculate the remainder when -633*(-12)/(-108)*(-3 - 0) is divided by m.
103
Suppose 0 = -376*g + 121100 + 74044. What is the remainder when 519 is divided by g?
0
Suppose -2*l = 2*l + 12*l - 2624. What is the remainder when l is divided by 82?
0
Let v = -39772 + 39780. What is the remainder when (-314)/(-5) + 1/5 is divided by v?
7
Let l(n) = n**2 - 10*n - 24. Let q be l(15). Suppose 56*g - q*g - 90 = 0. Suppose -g*h + 14*h + 24 = 0. Calculate the remainder when 7 is divided by h.
1
Suppose -906 + 566 = -5*g. What is the remainder when 143 is divided by g?
7
Suppose -2*q - 1747 = -t, -1167*t + 1170*t + 4*q = 5231. Calculate the remainder when t is divided by 18.
17
Let w = 5396 + -5062. What is the remainder when w is divided by 6?
4
Let w be 8/(-12) - (-87)/9. Suppose 5*i + 6 + w = 0. Calculate the remainder when 15 + ((-6)/(-1) - 4) - i is divided by 6.
2
Let x(b) = 18*b - 88*b + 7*b**2 + 23*b + 34*b + 7. Calculate the remainder when x(4) is divided by 9.
4
Let t = 215 - 227. Let z(y) be the first derivative of -y**3/3 - 15*y**2/2 + 7*y - 2. What is the remainder when z(t) is divided by 9?
7
Suppose 0 = x + 5*a - 516, 5*x + 0*x + 5*a - 2480 = 0. Calculate the remainder when x is divided by 81.
5
Suppose -2*m = -u + 25, -u + 7*m + 16 = 2*m. Let j = u - -47. Calculate the remainder when 37 is divided by j/5 + 0 - 45/75.
7
Let y(r) = 6*r**2 - 17*r + 45. Let b be y(4). Suppose b = 2*h - 83. What is the remainder when h is divided by 9?
6
Suppose 4*t + 21 = 97. Let z(p) = 4*p - 136*p - 14 + 13. What is the remainder when z(-1) is divided by t?
17
Let p(q) = 135*q + 1102. Calculate the remainder when 131 is divided by p(-8).
21
Let w = 40972 + -40952. Suppose 4*x - 359 = -5*p, p = -4*x + 233 + 130. What is the remainder when x is divided by w?
11
Suppose -4*o - 4*d + 536 = 0, 3*o - 5*d - 142 - 236 = 0. Suppose -10*m + o = -29. Calculate the remainder when 21 is divided by m.
5
Let w = -3956 + 7569. What is the remainder when w is divided by 26?
25
Let f(c) = 11*c**2 - 4*c - 8. Let z be f(6). Suppose -z = -4*a - 2*j, 2*j + 7 = 15. What is the remainder when a is divided by 6?
5
Let i = -507 - -641. Let c = i + -16. What is the remainder when c is divided by 12?
10
Suppose 5*v - 66 = 9. Let j be (-1)/7*-33 - (-4)/14. Suppose -135 = -j*t - 0*t. Calculate the remainder when t is divided by v.
12
Suppose -4*i + 3*k = -8, -k + 12 - 2 = 5*i. Suppose -4*w = 5*p - 65, -5*p + 29 = -w - 36. Calculate the remainder when (0 + 55 - i) + -3 is divided by p.
11
Suppose 16*c = 97 + 991. What is the remainder when 3462 is divided by c?
62
Let n(w) = w**3 + 32*w**2 + 24*w - 128. What is the remainder when 815 is divided by n(-31)?
14
Let p(y) = -y**2 - 16*y + 60. Let g be p(-19). Suppose -63 = -v + g. What is the remainder when 262 is divided by v?
64
Suppose 12*x = 4*d + 7*x - 294, -5*d = 2*x - 351. Calculate the remainder when 2694 is divided by d.
67
Let i = 1275 - 1265. Calculate the remainder when 417 is divided by i.
7
Suppose 0 = 29*n + 1099 - 3303. What is the remainder when 1128 is divided by n?
64
Suppose 0*s - 2*s - 44 = -2*n, -3*s = -4*n + 85. Suppose 2*o - o = 4*u - 361, -o - 179 = -2*u. What is the remainder when (1 - 2/1) + 2 + u is divided by n?
16
Let r(n) = -3*n**3 - 18*n**2 + 2*n + 9. Let g be r(-7). Let f = -117 + g. What is the remainder when 74 is divided by f?
24
Calculate the remainder when 7305 is divided by 15 - (-2427 - 48/(-6)).
3
Let g(r) = 76*r - 2. Suppose 0 = 4*a - 4*k - 39 - 121, -4*k + 30 = a. Calculate the remainder when g(6) is divided by a.
36
Let l(d) = d + 5. Suppose -47*u = -33*u - 3220. Suppose -42*i = -65*i + u. What is the remainder when l(8) is divided by i?
3
Suppose -3*a - 1 = x, 2*x - a - 51 = -4. What is the remainder when 9058 is divided by x?
18
Suppose -20 = -4*s - b, 5*s - 12 = b + 13. Suppose -q + 61 = 2*c, 5*q + 157 = s*c + 3*q. Calculate the remainder when c is divided by 0/(-1 + -7) - -7.
3
Let h = -434 - -370. Let n(x) = 43*x + 9. Let g be n(4). Let w = h + g. What is the remainder when w is divided by 34?
15
Calculate the remainder when 543 is divided by (-2)/4*15*((-6902)/145)/17.
18
Let f = 167 - 162. Suppose -f*y + 526 = 471. What is the remainder when 140 is divided by y?
8
Calculate the remainder when 2560 is divided by (174/145)/(4/30).
4
Let k = -16 + 35. Let c be 185/((4 + -3)*1)*2. What is the remainder when c/(-4)*(-86)/215 is divided by k?
18
Let n = 1775 - 1767. What is the remainder when 3790 is divided by n?
6
Let i be (-18)/(-5) + (-2)/(-5). Suppose -16 = l - 2*l. What is the remainder when (-39)/(-6)*4 + i is divided by l?
14
Let z(x) = -163*x - 1557. What is the remainder when z(-12) is divided by 56?
7
Let s be 3 - (3/9*3 + -75). Suppose o + s = 5*z + 12, 4*z = 3*o + 63. Suppose z*j - 459 - 165 = 0. Calculate the remainder when j is divided by 28.
24
Suppose -f = -5*z - 113, -5*f - 193 = 5*z - 878. Let p = -37 + f. Suppose -3 = -2*c + 4*h + 43, -5*h = -2*c + 45. What is the remainder when p is divided by c?
21
What is