ppose 53*o - 498 = 456. Calculate the remainder when 644 is divided by o.
14
Let h(r) = -4*r**2 + 4*r + 14. Let s be h(4). Let b = s + 67. Calculate the remainder when 226 is divided by b.
28
Let t(s) = 2*s**3 + 15*s**2 + 15*s + 59. Let n be t(-7). Suppose y = -3*y - 5*l + 1256, n*y + 2*l = 935. What is the remainder when y is divided by 79?
72
Let l(i) = 7*i - 38. Let z be l(21). Let s = 105 - z. What is the remainder when s/(8/(-6)) - -138 is divided by 11?
9
Let w = 7761 + -5884. What is the remainder when w is divided by 61?
47
Suppose -74*m + 41589 = -53617 - 35108. Calculate the remainder when m is divided by 63.
60
Suppose 72*f = 62*f + 140. Let h(t) be the third derivative of -t**5/60 + 7*t**4/24 - t**3/6 - 15*t**2. What is the remainder when f is divided by h(4)?
3
Let d = -11655 - -11703. What is the remainder when 126 is divided by d?
30
Let w(u) = u**2 - 2*u - 3. Let b be w(-3). What is the remainder when (-14 + b)*(-1 + 2) - -14 is divided by 5?
2
Suppose -2*r - 1268 = -5*g - 394, 0 = r - 2*g + 435. Let x = r + 452. Calculate the remainder when 346 is divided by x.
21
Let k(i) = 14*i - 62. Suppose 0 = -5*t - 15, -5*o + 7 + 3 = 5*t. Let l be k(o). Calculate the remainder when 12 is divided by -2*((-14)/l - 6/24).
0
Suppose 4*r - 93 + 51 = -3*l, 2*r = 0. Suppose f - 25 = 5*m, 6*f - 123 = 3*f + 3*m. What is the remainder when f is divided by l?
3
Let k be ((-14)/42)/(1/(-3))*-109. Let q = k + 227. Calculate the remainder when q is divided by 32.
22
Let h be 19/(3*3*3/27). Suppose 0 = h*q - 13*q - 162. Suppose -a + 110 - q = 0. Calculate the remainder when a is divided by 12.
11
Let h(m) = -m**3 + 14*m**2 - 27*m - 85. What is the remainder when h(7) is divided by 7?
6
Let g(b) = -b**3 - 7*b**2 - 10*b + 8. Let c be g(-8). Suppose 677 = 7*u + c. Calculate the remainder when u is divided by 40.
35
Let o = 20867 + -20397. Calculate the remainder when o is divided by 251.
219
Suppose -20 = 4*x, 4*x = -5*g - 0 + 5. Suppose g*n = 66 - 16. Calculate the remainder when 18 is divided by n.
8
Let c(b) = 18*b + 1116. Calculate the remainder when c(-51) is divided by 40.
38
Let g be (-12)/5*(44 - 24). Let f = g - -167. Suppose 3*p = 3*k + p - 124, -128 = -3*k + 4*p. What is the remainder when f is divided by k?
39
Let b be (-80)/(-5) - -3 - 8. Suppose -b*o + 0*o = -1936. Calculate the remainder when o is divided by 60.
56
Suppose 80*i - 681600 = -149*i - 154900. Calculate the remainder when i is divided by 39.
38
Let u(w) = -2*w**2 + 24*w + 14. Let h be u(12). Let z(s) = -s**3 - 8*s**2 + 2. Calculate the remainder when ((-8)/h)/((-37)/259) is divided by z(-8).
0
Let c = -8387 - -8708. What is the remainder when 331 is divided by c?
10
Let t be 24/36*150/4. Suppose -5*v + 3*v = -3*y + t, -2*v = 3*y - 29. Calculate the remainder when 1 + 3 + (-3 - -22) + 3 is divided by y.
8
Let i(w) = w**2 + 11*w + 153. What is the remainder when i(-28) is divided by 4?
1
Let m = 4 - -3. Let q(j) = -18*j - 98. Let g be q(-6). Suppose 168 = -m*s + g*s. What is the remainder when s is divided by 15?
11
Suppose 3*h - 120 = -f + h, 4*h - 600 = -5*f. Suppose 180 + f = 20*b. Let k = b + -8. Calculate the remainder when 117 is divided by k.
5
What is the remainder when (406/4)/((63 + -44)/266) is divided by 120?
101
Suppose 3*t - 9 - 12 = 0, 994 = 3*c + t. What is the remainder when c is divided by 87?
68
Let r = -16 - -9. Calculate the remainder when -4 + 47 + (-5 - -5) is divided by (-159)/r - 4/(-14).
20
Suppose -101*h + 103*h = 1660. Calculate the remainder when h is divided by 120.
110
Suppose -24*c + 3196 = 364. What is the remainder when 683 is divided by c?
93
Suppose 29*u - 35*u + 1152 = 0. Let r = -172 + u. Calculate the remainder when 157 is divided by r.
17
Suppose 390*a - 385*a - 395 = -2*g, -3*g + 3*a + 540 = 0. Calculate the remainder when 695 is divided by g.
140
Let u = -15 - -31. Suppose 7*n = 9 + 5. Suppose m = -5*q + n*q + 84, 4*m = -3*q + 93. Calculate the remainder when q is divided by u.
11
Suppose 2*y - 4*l - 38 = -0, 0 = 2*y + 4*l - 6. Calculate the remainder when 11074 is divided by y.
8
Let f be ((-10)/(-15))/(6/(-18)). Calculate the remainder when 34 is divided by (-8)/f - (-240)/15.
14
Suppose 5*d - 250 = -5*c, 3*d - 4*c = 43 + 114. Let p = d - 14. Calculate the remainder when (-1*12)/((25/30)/(-5)) is divided by p.
35
Let v(z) = 3*z**2 - z - 3. What is the remainder when v(-6) is divided by (((-12)/(-9))/(8/62))/((-1)/(-3))?
18
Let n(d) = 5*d**3 + 7*d**2 + 6*d - 6. Let k be n(5). Let x = k - 584. Calculate the remainder when x is divided by 22.
20
Suppose r = -5*v - 2, -4*r - 3*v + 144 - 67 = 0. Calculate the remainder when 2917 is divided by r.
19
Suppose 7*i - 1603 = 3*i + 3*t, -1204 = -3*i + 4*t. Calculate the remainder when i is divided by 141.
118
Suppose 0 = -13*p + 401*p - 43068. What is the remainder when 8213 is divided by p?
110
Let b be 1 + (-2 - (6 - 4)). What is the remainder when b/30 + 522/20 is divided by 15?
11
Let z be (120/(-16) - -9)*(178 - 0). Suppose -v = r - 69, 5*v - 4*r - 60 = z. What is the remainder when v is divided by 19?
10
Let c = 10751 - 10740. What is the remainder when 2462 is divided by c?
9
Let p be (-2)/(-3) - (-1 - (-116)/12). What is the remainder when 190 is divided by (-64)/p - (-4 - 0)?
10
Let w be (58 + 1)/((-4)/(-8)). Let y = 204 - w. Calculate the remainder when y is divided by (2 - 23)*((-858)/91 + (16 - 8)).
26
Suppose -910*o + 55292 = -818*o. What is the remainder when o is divided by 74?
9
Let a = -23 - -108. Calculate the remainder when a is divided by (-105)/315 - 49/(-3).
5
Suppose -15 = -5*w + n, 4*w = 3*n - 7*n + 36. Suppose -5*y = -w*y - 36. Let r = 49939 + -49929. What is the remainder when y is divided by r?
6
Suppose 0*u - u - 5*q + 9 = 0, 2*q = -4*u + 36. Let h(v) = -2*v + 105. Calculate the remainder when h(u) is divided by 21.
3
Suppose 127*i - 16 = 131*i. Suppose -m + 12 = 3*w, -4*w - 5 = -5*m + 93. Calculate the remainder when 448/9 + i/(-18) is divided by m.
14
Let x be (-3 - (-153)/12)/(2/(-8)). Let s = x - -202. Let t = 237 - s. What is the remainder when t is divided by 11?
8
Let n(r) = 12*r + 3. Suppose -3*i + 4*s - 186 + 1090 = 0, 5*s = -3*i + 922. Suppose -i = -8*m - 160. Calculate the remainder when n(7) is divided by m.
15
Let q(n) = 21*n**2 - 48*n + 200. What is the remainder when 689 is divided by q(4)?
1
Suppose -2011 = -63*s - 243 + 1067. What is the remainder when 953 is divided by s?
8
Let q = -978 + 1299. Let s(j) = -19*j + 113. Calculate the remainder when q is divided by s(5).
15
What is the remainder when (8008/168)/((-1)/(-3)) is divided by 36?
35
Let s(h) = 36*h + 2. Let w be s(4). Let p = w - 121. Calculate the remainder when 224 is divided by p.
24
Let d(a) = -a**3 + 5 + 11*a**2 + 1 + 0 - 2. Let v be d(11). Suppose -v*o = -64 - 28. What is the remainder when 90 is divided by o?
21
Suppose 2*x + 2*j - 4 = 0, 4*j - 9*j = -5*x + 10. Suppose 0 = 2*b + 5*c - 92, -x*b = 2*b - 2*c - 136. What is the remainder when 101 is divided by b?
29
Let q be (22*584/(-24))/((-4)/6). Suppose 2*f - 2*j - 398 = 2*j, -4*f + q = -j. What is the remainder when f is divided by 34?
31
Suppose 3*c - 21*r + 19*r = 388, -r - 259 = -2*c. What is the remainder when c is divided by 82?
48
Let s(n) = n**2 + 67*n - 735. What is the remainder when 257 is divided by s(12)?
44
Let s be (-147)/(-9) - 28/147*7. Suppose 0 = s*k - 90 - 90. What is the remainder when 46 is divided by k?
10
Suppose -5*m + 2*l = 7 - 375, -5*l = m - 52. Calculate the remainder when 36/m*(59 - 1) is divided by 3.
2
Suppose 3*g + 120 = 3*x + 432, 4*g - 414 = 3*x. Calculate the remainder when 2855 is divided by g.
101
Let h be 3*10*5/30. Suppose -3*g + 59 = h*z, -3*g - 2*z = g - 102. What is the remainder when g is divided by (-39)/(-3) - (0 - 2)?
13
Suppose -2*n = -8, 0 = -2*t - 3*n + n + 12. Calculate the remainder when (141 - 3)/t + -6 is divided by 13.
11
Suppose 166*w = 162*w + 5*m + 71, -2*w - 4*m = 10. Calculate the remainder when 2579 is divided by w.
5
Let k(i) = 7*i**2 - 3*i - 2. Suppose 187*n + 14238 = -67*n + 36590. What is the remainder when n is divided by k(-2)?
24
Let u(o) = -o**3 + 2*o**2 + 132*o + 20. Calculate the remainder when 1265 is divided by u(0).
5
Suppose 0 = 4*w + 22 - 98. Let u = w - -3. C