uppose -2*k - z + 11 = 2, 10 = -d*k + 4*z. Suppose k*w = -2*c, 2*w = 4*w + 10. Calculate the remainder when 21 is divided by c.
1
Suppose -o = -5*l + 11, -13*l + 9 = -9*l - o. Suppose 60 = 3*x + y + 4*y, 5*y = -l*x + 40. What is the remainder when x is divided by 12?
8
Let z(d) = -d**3 - 10*d**2 - 7*d + 75. Let x be z(-8). Suppose -587 = -x*q + 2*o, -6*q + 9*q + 5*o = 622. What is the remainder when q is divided by 5?
4
Suppose -5*y - k = -201, -y - k + 29 = 2*k. What is the remainder when 333 is divided by y?
5
Suppose -5365 = -226*l + 59. Calculate the remainder when 3212 is divided by l.
20
Let i be (42/(-4))/((-93)/310). Suppose 4*b - 3 + i = u, 0 = -4*u + b + 98. Calculate the remainder when 135 is divided by u.
15
Let b = -550 + 628. What is the remainder when b is divided by -1*(-17)/2*2?
10
Suppose -4*i = -4*h - 48, -3*i + 36 = 4*h - 28. Let o(x) = x - 7. Let w be o(10). Suppose w*b - 38 = 97. What is the remainder when b is divided by i?
13
Let c(m) = 641*m + 2600. What is the remainder when 267 is divided by c(-4)?
15
Let f = -27864 + 28073. Calculate the remainder when f is divided by 1 + (-9)/(0 - 1).
9
Calculate the remainder when ((-9)/81*15)/((-5)/14997) is divided by 40.
39
What is the remainder when ((-918)/21)/((-5)/35) is divided by 130?
46
Let u(n) = 39*n**2 - 98*n + 355. What is the remainder when u(4) is divided by 27?
20
Let z(g) = -g**3 + 3*g**2 + 3. Let r be z(-4). Let w = -62 - -67. Suppose u + 5*d = 5*u - 92, -w*u + r = -5*d. What is the remainder when 90 is divided by u?
21
Let z(l) = 133*l**2 + 4*l - 3. Suppose -2*w - 51 = -189. What is the remainder when z(1) is divided by w?
65
Suppose 0 = -4*x + 11*x - 161. Suppose -2*u + 0*s = -5*s - x, -5*u = -s - 92. What is the remainder when 47 is divided by u?
9
What is the remainder when 520 is divided by 4983/55*(16/(-12) + 3)?
67
Let h(x) = x**3 - 13*x**2 + 6. Let k be h(13). Suppose g - 21 = 3*b, 2*g - 2*b = k*g - 112. Suppose d - g = -3. What is the remainder when d is divided by 14?
10
Suppose -30*q = -31*q - 162. Let l = q - -173. What is the remainder when 32 is divided by l?
10
Calculate the remainder when 9201 is divided by ((-64)/(-8) - -166) + (-2 - (-15)/3).
174
Let k be (-2 - 530/6)/((-9)/(-27)). Calculate the remainder when 84 is divided by 2/(-18) + k/(-9).
24
What is the remainder when 2557 - 16 - (1 + (4 - (7 + -3))) is divided by 845?
5
Let v = -734 + 922. Calculate the remainder when 724 is divided by v.
160
Let o be (-9 - -17)/(-4) - -50. Suppose c = 1 + 6. Suppose -c*u + 6*u + o = 0. What is the remainder when u is divided by 13?
9
Let s be (-4)/(-32)*-19*-8. Calculate the remainder when 30402/342 + 2/s - 3 is divided by 25.
11
Suppose 8431 = 89*i - 22630. Calculate the remainder when i is divided by 61.
44
Let c be 4/(-10) + (-6552)/(-130). Suppose -c + 52 = -t. What is the remainder when 67 + (2/(-2) - t) is divided by 14?
12
Let y = 69 - 78. Let x = y - -20. Suppose 0 = 8*q + x - 123. What is the remainder when 36 is divided by q?
8
Suppose 3*f - 233 = -3*d - 53, f - 61 = -2*d. What is the remainder when 230 is divided by f?
53
Suppose 0 = -8*q - 6 - 18, -3*v + 5*q + 8166 = 0. What is the remainder when v is divided by 65?
52
Let q(p) = p**2 - 11*p + 40. Let s be q(9). Suppose 2*c - 60 = s. Calculate the remainder when c is divided by 9.
5
Let j(y) = y**2 - 12*y - 16. Suppose -33*t + 1160 = -13*t. Calculate the remainder when j(21) is divided by t.
57
Let h = 103 + -83. Suppose -31*s = -26*s - h. What is the remainder when 31 is divided by (-8)/(-1) + (-4)/(-16)*s?
4
Suppose -3*v = -3*a - 5448, 45*v - 2*a + 1804 = 46*v. Calculate the remainder when v is divided by 107.
100
Suppose 37*k + 20526 = 103*k. Let v(z) = 9*z - 83. Calculate the remainder when k is divided by v(10).
3
Suppose 38*q + 1193 = 40*q - 3*i, -i = -4*q + 2381. Calculate the remainder when 596 is divided by q.
1
Let z(d) = 18*d + 853. What is the remainder when z(-17) is divided by 50?
47
Suppose 0*w + 3*w - 7824 = -21*w. Calculate the remainder when 336 is divided by w.
10
Suppose -9978 = -189*l + 3923 - 3317. Let i(c) = -c**3 - 5*c**2 - 5*c - 6. Let r be i(-4). Calculate the remainder when l is divided by (-4 + 2)*(r - 8).
16
Let h(z) = 15*z**3 + 10*z**2 - 80 - 21*z**3 + 97 + 13*z. Calculate the remainder when h(-4) is divided by 32.
29
Suppose -45 = 5*a - 10*a. Suppose -40 + 152 = 4*f. Suppose 2*j - i - f = 0, 5*j - 2*i - 69 = i. Calculate the remainder when j is divided by a.
6
Let g = 447 + -317. What is the remainder when g is divided by 260/8 - (-33)/22?
28
Suppose 4 = t, -5*u + 977 + 562 = -4*t. Let f = -23372 + 23424. What is the remainder when u is divided by f?
51
Suppose 0 = -2*n + 5*g + 728, -5*n - 2*g - 3 + 1794 = 0. What is the remainder when n is divided by 64?
39
Suppose -399*g + 396*g - 9155 = -4*m, -2*g = m - 2275. Calculate the remainder when m is divided by 325.
10
Let k be 8/((-5 + 3)/2). Let u be (-10)/(-10) + -1*4 - k. Suppose -u*s = -16 - 64. Calculate the remainder when 45 is divided by s.
13
Suppose 458 = 61*b - 3838 - 3207. Let g(y) = 2*y**2 + 7*y + 13. Calculate the remainder when b is divided by g(-6).
37
Let d(g) = g**3 - 50*g**2 - 97*g - 52. Calculate the remainder when d(52) is divided by 35.
32
Suppose -5*x + 190 = 3*f, -67 = -2*x + 4*f - 7*f. What is the remainder when 447 is divided by x?
37
Let d = -40 + 29. Let c(a) = a**3 + 11*a**2 + a + 26. Calculate the remainder when 48 is divided by c(d).
3
Suppose 2*o = 16 + 12. Let q(h) = -h**2 + 15*h - 4. Let y be q(o). Suppose 0 = -2*w + y, 5*w - 20 + 7 = 2*c. What is the remainder when 23 is divided by c?
5
Suppose -39 = -6*l + 153. Calculate the remainder when 16047/36 + 25/20 is divided by l.
31
Calculate the remainder when 1178 is divided by ((-4)/6)/(-3 + 986/330).
23
Let h(x) be the first derivative of -x**4/4 - 16*x**3/3 - 7*x**2 + 12*x - 88. Calculate the remainder when h(-17) is divided by 15.
14
Suppose -15*r + 19 = -14*r. What is the remainder when (7 + 1)*(20 - 14) is divided by r?
10
Let f(l) = -2*l**2 - 4 - 8*l**3 + 0*l**3 + 3 - 2*l + 2*l**3. Calculate the remainder when 2/(48/22 + -2) is divided by f(-1).
1
Suppose 4*f - 2*s + 3*s = 16, -2*f - 2*s + 8 = 0. Let h be ((-5)/(-10))/(3 - 17/6). Suppose h*j + 2*j = 70. What is the remainder when j is divided by f?
2
Let u(q) = -1784*q + 279. Calculate the remainder when 859 is divided by u(0).
22
Let t be (-9)/(-6) - 24/16. Suppose t = -3*b - 5*x + 167, -29*b - 4*x + 300 = -24*b. What is the remainder when 133 is divided by b?
5
Let v = 1499 + -1491. Calculate the remainder when 621 is divided by v.
5
Suppose u + 2*n - 471 = -123, -3*u + 2*n + 1036 = 0. What is the remainder when u is divided by 10?
6
Suppose -4*w - 2*i + 504 = 0, -2*w + 1213*i - 1217*i + 222 = 0. What is the remainder when w is divided by (-2)/(-3 - -1) + 11?
11
Let u = -2528 - -2694. What is the remainder when u is divided by 13?
10
Let m(v) = 4*v**2 + 3*v + 15. Let h be 4*-3*(10/8 - 1). What is the remainder when m(h) is divided by 15?
12
Suppose -5*n + 384 + 1376 = 0. Calculate the remainder when n is divided by 131.
90
Suppose -54*b - 559 = -97*b. What is the remainder when 129 is divided by b?
12
Calculate the remainder when ((-212)/10)/(114/(-95) - 0)*72 is divided by 1260.
12
Let a = -1146 + 1209. Calculate the remainder when a is divided by (-5)/20 + (-130)/(-8).
15
Suppose -6*m = 69 - 213. Suppose 582*v + m = 584*v. What is the remainder when 23 is divided by v?
11
What is the remainder when 391 is divided by (160 - -107) + 2*(52/8 - 3)?
117
Let b(c) = 4*c**2 - 6*c - 2. Suppose -11 = -2*l - 3*z + 4, -5*z = 3*l - 23. Suppose -5*d + 2*d = -81. Calculate the remainder when b(l) is divided by d.
25
Calculate the remainder when (-1933008)/(-768) + ((-4)/2)/(-32) is divided by 105.
102
Suppose n - 3*t + t = 25, 147 = 5*n + t. Let g(w) = -6*w + 185. What is the remainder when g(23) is divided by n?
18
Let d = 14 - 12. Suppose -d*o - 4*g = -420, 470 = 4*o - 5*g - 409. Calculate the remainder when o is divided by 56.
48
Let n(r) = -2*r - 107. Let w be n(9). Let g = 150 + w. What is the remainder when 144 is divided by g?
19
Let q(a) = -33*a**3 + 26*a**2 - a - 4. Calculate the remainder when q(-2) is divided by 122.
0
Suppose -4*t - 62 = -81 - 197. Calculate the remainder 