e -1390*i = -1351*i - 33891. What is the remainder when i is divided by 863?
6
Suppose 3*f = -15*k + 5070, -8*k + 3*f = -7*k - 354. Calculate the remainder when k is divided by 60.
39
Let i(y) be the first derivative of -y**2/2 + 32*y - 5. Suppose 6*u + 13 = 7*u. What is the remainder when 56 is divided by i(u)?
18
Suppose 3*t + 14 = a - 2, 22 = a + 3*t. Suppose -3*s + 1344 = 3*s. Suppose g + s = 261. Calculate the remainder when g is divided by a.
18
Let a = 9933 + -8494. Calculate the remainder when a is divided by 9.
8
Let d be 321 + (5 - (-3)/(-1)). Let c = d - 209. What is the remainder when c is divided by 9?
6
Suppose -16*v = 26 - 714. Calculate the remainder when 256 is divided by v.
41
Suppose -6*s + 4*t = -164, 4*t + 134 = -2*s + 7*s. Let q = -23 + s. Calculate the remainder when 8 is divided by q.
1
Let t = 138 - 136. Calculate the remainder when 180 is divided by (-18 - 8)*(t - (-10)/(-4)).
11
Suppose -7*k - 12432 + 12530 = 0. What is the remainder when 97 is divided by k?
13
Suppose 3*y + 19 = 31. Suppose -116 = -0*b - y*b. What is the remainder when b is divided by 17?
12
Let d be (-16)/(-72) - 2797/(-9). Let f = d + -290. What is the remainder when 125 is divided by f?
20
Let b(m) = -17*m**3 + 265*m**2 - 14*m + 19. What is the remainder when b(15) is divided by 120?
19
Suppose 5*w - 2*c = 5103, -2*w + 153 + 1899 = c. What is the remainder when w is divided by 41?
39
Calculate the remainder when ((-768)/30)/((-11)/330) is divided by 245.
33
Let y = 4598 - 3798. Calculate the remainder when y is divided by 68.
52
Suppose 3*a + 68 = 5*g, 4*a = 3*a - 1. Let s(v) = -2*v + 32. Let y be s(g). What is the remainder when y/21 + (-813)/(-21) is divided by 20?
19
What is the remainder when 1629 is divided by (-16)/((-128)/4)*204?
99
Let m(u) = -24*u - 75. Suppose -95 + 25 = 14*i. Suppose 3*r = -2*r + 2*v + 52, -4*r = -5*v - 28. Calculate the remainder when m(i) is divided by r.
9
Suppose 0 = -m + 4*b - 282, 1374 = -2*m - 3*m + 2*b. Let f = -5 - -115. Calculate the remainder when f is divided by -1 - m/18 - (-32)/(-144).
12
Let m be -4 + 5*40/25. Suppose -3*w = -m*f + 113, -5*f - 2*w + 233 = 86. What is the remainder when 256 is divided by f?
24
Let p = -126 - -330. Let w = p + -169. What is the remainder when w is divided by 9?
8
Let m(i) = 6*i - 9 - 34*i + 38*i**2 - 41*i**2. Let x be m(-7). Suppose -103 = -3*c - x. What is the remainder when c is divided by 6?
3
Suppose -14018 = -144*a + 65*a + 36*a. Calculate the remainder when a is divided by 74.
30
Let m = -15856 - -17157. What is the remainder when m is divided by 16?
5
Let n(q) = 7*q**2 - 64*q + 134. What is the remainder when 1373 is divided by n(7)?
10
Let h(w) = -22*w - 124. What is the remainder when 354 is divided by h(-11)?
0
Suppose g - 121 = 4*n, 257*g = 253*g - 4*n + 444. Calculate the remainder when 341 is divided by g.
2
What is the remainder when ((-3812)/(-24))/((-8)/240*-5) is divided by 30?
23
Let s be -2 + (-3 + 7)*-1. Suppose -615 = 11*z + 89. What is the remainder when 24 is divided by (-4 - 39/s)*z/(-10)?
8
What is the remainder when 659 is divided by -20 + 1 - (7 + -140)?
89
Suppose 2*x - 3*n - 122 = 0, -4*x - 4*n + 177 = -27. What is the remainder when x is divided by (-1 - (-24)/20) + (-1390)/(-50)?
27
Suppose 20 = -f + 3*t + 23, t = -3*f + 39. Suppose 5*q + r - 380 = 0, f = 3*r + 27. What is the remainder when q is divided by 8?
5
Let b(j) = 2*j**3 - 69*j**2 - 30*j - 92. What is the remainder when 397 is divided by b(35)?
65
Calculate the remainder when 4535 is divided by (8 - -5)/((0 - -1) + 0).
11
Suppose 5*i - 2054 + 154 = -2*u, 2*i = -2*u + 1912. What is the remainder when 1929 is divided by u?
9
Suppose 0 = d - 2 + 4. Calculate the remainder when 46 is divided by -1*(-125)/10*(0 - d).
21
Suppose 0*o = o - 66. Suppose 0 = -31*c - 19*c + 317 + 383. What is the remainder when o is divided by c?
10
Let u = -1033 - -1445. What is the remainder when u is divided by 46?
44
Suppose -4 = -9*r + 5. What is the remainder when -45*(4/6)/(-1) is divided by (r - (-18)/4)*2?
8
Let l = -1845 + 2041. Let r(t) = t**3 - 5*t**2 - 10*t - 3. What is the remainder when l is divided by r(7)?
21
Let y = -53 - -100. What is the remainder when y is divided by -25 - (-1672)/66 - 100/(-6)?
13
Let b be (15 + 1)*(8 + (-17)/2). What is the remainder when 494/8 - ((-150)/b)/(-15) is divided by 11?
8
Suppose -s = -1189*k + 1186*k + 1392, -k + s + 466 = 0. Calculate the remainder when k is divided by 231.
1
Let y(t) = -3*t + 25. Let x = -41 - -102. Let j = 158 - x. Calculate the remainder when j is divided by y(0).
22
Let x be ((-8)/(-12))/(10064/(-5034) - -2). Let d = -314 + x. Calculate the remainder when d is divided by 17.
15
Let d(y) be the first derivative of -y**2/2 + 20*y + 4. Let b = 342 - 355. What is the remainder when d(b) is divided by 18?
15
Suppose -6*s = 3*s + s - 1330. What is the remainder when s is divided by 26?
3
Let o = -21 - -53. What is the remainder when (-16)/40*(-332 + -63) is divided by o?
30
Let v(h) = -h**2 - 8*h + 32. Let q be v(-10). Let i = q - 8. Let t(p) = p - 3. What is the remainder when i is divided by t(5)?
0
Let q(l) = -l**2 + 20*l - 15. Let k be q(15). Let c = -1566 + 1700. Calculate the remainder when c is divided by 4*8/(128/k).
14
Let m be 3 - (1 - 4) - 657. Let a = m - -660. What is the remainder when 232 is divided by a?
7
Let h = 8166 + -7920. Calculate the remainder when h is divided by 25.
21
Let n be (6 + 6 - 2)*(-1)/(-2). Suppose -85 = -8*t + n*t - 4*a, 2*t = 2*a + 80. Let h = 62 - -76. Calculate the remainder when h is divided by t.
33
Let w = 774 + -521. What is the remainder when w is divided by 22?
11
Suppose -q = -8*q + 4032. Let w = -570 + q. What is the remainder when w is divided by 1?
0
Let t(g) = -2*g**3 - 9*g**2 - 9*g - 12. Let q be t(-4). Suppose 2*x - q*x = -54. Calculate the remainder when x is divided by 5.
4
Let x(k) = 2*k - 3. Let c = 45 - 47. Let o be x(c). What is the remainder when 79 is divided by (-2)/(-14) + (-188)/o?
25
Suppose 17*r - 296 = -35*r + 2252. Suppose 4*m = 2*o - 90 - 128, -4*o + 476 = 2*m. What is the remainder when o is divided by r?
19
Suppose 317*x - 313*x - 3*u = 564, 0 = 4*u + 16. Let o = -5 - -9. What is the remainder when x is divided by o?
2
Let i(h) = 7*h**2 - 4*h + 1. Let d be (3 + 15/(-6))/((-4)/(-728)). Suppose d = 22*m - 15*m. Calculate the remainder when i(-3) is divided by m.
11
Let z(k) = 11*k**2 - 13*k - 719. Calculate the remainder when z(20) is divided by 56.
5
Suppose 0 = -15*w + 120 - 15. Suppose 0 = -3*l + 2*b + w + 30, 0 = -l - 3*b + 5. What is the remainder when 152 is divided by l?
9
Suppose -3*p + 508 = v, 9*p = 10*p - 4*v - 152. Suppose 673*d - p = 670*d. Calculate the remainder when 106 is divided by d.
50
Let l = 180 + -61. Suppose 5*q - l = 6. Calculate the remainder when 80 is divided by q.
5
What is the remainder when 21 is divided by ((-42)/(-4) + -3)/(75/12 - 5)?
3
Suppose -31*h + 34*h = -9. What is the remainder when 65 is divided by (24 - 3) + (12/h - -5)?
21
Let r(y) = y**2 - 38*y - 210. What is the remainder when 195 is divided by r(-5)?
0
Suppose 0 = -5*j + 15, 0*j = -3*n + 2*j. Suppose 132 = 2*q - 136. Suppose 129*r - q*r = -15. Calculate the remainder when r is divided by n.
1
Suppose w = -4*w - 5*i + 110, 58 = 4*w - 2*i. Suppose 0 = 4*s + 30 - 18. Calculate the remainder when w is divided by (s*(3 + 4))/(-3).
3
Suppose -2*f = -2*d - 200, -f - 2*d - 372 = -472. What is the remainder when 1015 is divided by f?
15
Suppose -p - 2*f = -4*f - 21, 5*p + 3*f = 53. Let i(a) = a**2 + 9*a - 41. Let k be i(8). Calculate the remainder when -3 - 59/(-19) - (-4075)/k is divided by p.
4
Let y = 16260 - 12657. Calculate the remainder when y is divided by 53.
52
Let m = -161 + 157. Let g(k) = -18*k - 37. What is the remainder when g(m) is divided by 19?
16
Let p(t) = 53*t**2 - 4*t + 3. Let v be p(2). Let x = 249 - v. Calculate the remainder when x is divided by 11.
9
Let l(n) = -n**3 + 10*n**2 - 11*n + 4. Let z(d) = d**3 + 22*d**2 + 15*d + 47. What is the remainder when z(-21) is divided by l(8)?
41
Calculate the remainder when 1328 is divided by 338 + (10 - 10) - -6*6/(-9).
326
What is the remainder when (-4)/3 - 2413645/(-1065) is divided by 134?
121
Suppose -3*h = -9*h + 30