 is divided by x.
5
Let g = 237 - 169. Suppose -2*a = -a + m - g, -317 = -4*a + 5*m. Suppose -74 = -5*i - 3*q, 119*q + 2 = -i + 116*q. What is the remainder when a is divided by i?
16
Let w = 33853 + -33679. Suppose -5*g - 3*x - 29 = -207, 3*x - 73 = -2*g. What is the remainder when w is divided by g?
34
Suppose 2*v + i - 76 = -v, 4*v - 3*i = 97. Let l(g) = g**3 - 3*g**2 + g + 4. Let m be l(3). Let d = m - 0. Calculate the remainder when v is divided by d.
4
Suppose 0 = -4*i - 159*d + 163*d + 288, 0 = 5*d - 5. What is the remainder when i is divided by 34?
5
Suppose -5*j - 3 = -3*r, -4*r + 3*j + 7 = 3. What is the remainder when (r - (0 - -7)) + 201 is divided by 51?
42
Suppose 155 = 5*a + 135. Let r be 242/6 + a/6. Suppose -36 = -r*b + 39*b. Calculate the remainder when b is divided by 10.
8
Suppose 5*b - 29 = -q, 2*q - 18 = -4*b + 2*b. Suppose -q*d - 196 = -2*o, 7*o - 2*o = -2*d + 454. Calculate the remainder when o is divided by 47.
45
Let n(d) = 93*d - 45*d - 46*d - 13. Let q be n(8). Suppose 0 = 3*y, w - y = -q*y + 18. What is the remainder when 69 is divided by w?
15
Suppose -63*g + 77*g - 294 = 0. What is the remainder when 395 is divided by g?
17
Let p(w) = w**3 + 12*w**2 + 9*w - 37. Let h be p(-11). Let d(q) = -q**3 - 10*q**2 + 46*q - 36. Calculate the remainder when d(h) is divided by 8.
7
Suppose 5*q - 5646 = -j, -525 = -3*q - 4*j + 2866. What is the remainder when q is divided by 110?
29
Suppose 505 = 2*w + 5*y - 494, 2*w - 1009 = 5*y. Calculate the remainder when w is divided by 244.
14
Suppose -5*v = -20, -6*v - 73 = -d - v. Suppose -78 = 5*b - d. Suppose -5*j + 7*n + 113 = 3*n, b*j = n + 72. Calculate the remainder when j is divided by 9.
7
Let j = 6119 - 5359. What is the remainder when j is divided by 45?
40
Suppose -4*m + 7*m - 2*c - 5789 = 0, -2*m + 3851 = -3*c. What is the remainder when m is divided by 102?
97
Suppose 3*p - 2*p - 5*f - 103 = 0, 0 = f - 3. Suppose 7*j - 8*j + 2*z + 44 = 0, -4*z = j - 32. What is the remainder when p is divided by j?
38
Suppose -3*u - 3 + 0 = 0. Let p = u + 10. What is the remainder when 29 is divided by p?
2
Suppose x + 0*x + 19 = 5*v, 0 = 2*x - v - 7. Suppose -3*a + x + 3 = 0. What is the remainder when a - ((-6)/3 + -10) is divided by 6?
3
Suppose -228 - 653 = -4*k - 3*p, 5*k + 2*p - 1103 = 0. Calculate the remainder when k is divided by 26.
13
Suppose -5*t + 19 = -6. Suppose 0*w + 5*c + 12 = -4*w, 2*w = 3*c + 16. What is the remainder when (-210)/20*(w + -4) is divided by t?
1
Suppose 32*n - 52*n = -1600. Suppose -3*c - n = -1142. What is the remainder when c is divided by 71?
70
Let d = -10896 - -13651. What is the remainder when d is divided by 52?
51
Let q be 390/24 + 2/(-8). Let w = q + -2. Calculate the remainder when w is divided by -2*(-4)/24*9.
2
Let p = 1556 - 325. What is the remainder when p is divided by 8?
7
Let u(s) be the third derivative of 11*s**6/120 - s**5/15 + s**4/4 - 5*s**3/6 - 2*s**2 - 5*s. What is the remainder when u(4) is divided by 15?
14
Let i(a) = -a**3 + a**2 - 123*a - 471. Calculate the remainder when 886 is divided by i(-4).
78
Let g(u) = -514*u + 6690. Calculate the remainder when g(11) is divided by 24.
4
Suppose 0 = 2*m - 6, -20 = -0*p - 2*p - 4*m. Calculate the remainder when 667/46 - ((-18)/(-12) - 0) is divided by p.
1
What is the remainder when (114 - 0)/(12*(-8)/(-96)) is divided by 17?
12
Suppose -s = 2*t + 2*s + 6, 0 = -4*t - 3*s. Suppose t*g = g + 934. Calculate the remainder when g is divided by 47.
44
Let i = 34 - 17. Let l(r) = -21*r**3 + 9*r**3 - 3*r - 14*r + 22 + 18*r**2 + 11*r**3. What is the remainder when l(i) is divided by 7?
1
Suppose -4*v + 3*w - 4 = 7, w + 1 = -v. Calculate the remainder when 98 is divided by 22/99 - 428/(-18) - v.
20
Let y(t) = -t**2 + 9*t + 2. Let r = -33 + -8. Let d = 75 + r. What is the remainder when d is divided by y(8)?
4
Suppose 380679 = 56*w - 94761. Calculate the remainder when w is divided by 274.
270
Suppose 159 = -6*n + 3123. Let h = n - -376. Suppose 5*w - h = 4*k + k, 3*w - 2*k - 526 = 0. What is the remainder when w is divided by 36?
34
Let w = -69 + 74. Suppose -m + v = -7, -w = -m + 4*v + 2. Suppose -o + 23 = t - 2*o, -o + 53 = 3*t. Calculate the remainder when t is divided by m.
5
Let s = -180 - -493. Suppose 0 = -12*h + s + 671. Suppose 2*p + 48 = v - h, 0 = 2*v - 2*p - 254. What is the remainder when v is divided by 21?
19
Suppose 0 = -61*x + 757 - 25. What is the remainder when 2410 is divided by x?
10
Suppose 3*f + 4*o - 54 = 0, 2*f - 64 = -30*o + 32*o. Calculate the remainder when 32 is divided by f.
6
Suppose -4*j - 5*v + 358 = 0, -3*j + 270 = v + 3*v. Calculate the remainder when 1497 is divided by j.
21
Let w(t) = -119*t + 5133. Calculate the remainder when 1526 is divided by w(41).
2
What is the remainder when ((-8)/(-26))/2 - (-35073687)/27469 is divided by 33?
23
Let v(o) = o**3 - 4*o**2 - 7*o - 9. Let l(c) = -c - 13. Let b = -65 + 45. Let p be l(b). What is the remainder when v(p) is divided by 23?
20
Suppose 16*v = 27*v - 12*v. Calculate the remainder when 86 is divided by (-1)/(-3 - v)*-3*-13.
8
Let v = -389 - -367. Let t(c) = -5*c - 91. What is the remainder when 757 is divided by t(v)?
16
Let l = 40 - 38. Suppose i + l*i - 27 = 0. What is the remainder when 1*626/12 - i/54 is divided by 11?
8
Let h = -203 - -220. Suppose -155 = -2*a - 55. What is the remainder when a is divided by h?
16
Let z(u) = -18*u**3 + 12*u**2 - 11*u + 73. Calculate the remainder when z(-7) is divided by 76.
72
Let p = 2593 - 2250. Calculate the remainder when p is divided by 14.
7
Let n(r) = r**3 - r**2 - 6*r + 5. Suppose 0*h + 153 = 9*h. Suppose -4*q + 3*p + h = 0, -2*q = q - 2*p - 13. Calculate the remainder when n(q) is divided by 19.
18
Let a = -10127 + 10167. Calculate the remainder when 407 is divided by a.
7
Let l(o) be the second derivative of -o**5/20 + 5*o**4/6 + o**3/2 + 7*o**2/2 - 13*o. Suppose 9*h = -14 + 140. What is the remainder when l(10) is divided by h?
9
Suppose 0 = x + 4*u - 5069, 607*u = 4*x + 609*u - 20290. What is the remainder when x is divided by 35?
33
Let t(h) = 77*h**2. Calculate the remainder when t(-1) is divided by (-1067)/(-55) - (-9)/15.
17
Let g = -7025 - -7187. Calculate the remainder when g is divided by 346/4 + (-2)/4.
76
Let t(f) = -f**2 + 6*f + 1. Let u(k) = -2*k - 10. Let d be u(-8). Let o(w) = 2*w**3 + 72*w**2 + 550*w + 4. What is the remainder when o(-11) is divided by t(d)?
0
Calculate the remainder when 70/35 + 1180/2 is divided by 26.
20
Let g(c) = -22*c - 29. Let m(w) = -11*w - 14. Let s(t) = -3*g(t) + 5*m(t). Calculate the remainder when s(12) is divided by 38.
35
Suppose -37*z - 2*l + 668 = -33*z, 0 = -2*z + 2*l + 334. Suppose -11*h = -65 - 199. What is the remainder when z is divided by h?
23
Let b be -4 + 0 + 47 - 0. Suppose 3*q + 5*a = -1 + 80, -5*a = q - b. Suppose l = 21 - 10. What is the remainder when q is divided by l?
7
Let q = -29068 + 29955. Calculate the remainder when q is divided by 131.
101
Let j be (4 - 1) + -2 + 4. Suppose 2*r = -j*g + 171, 5*g - 3*r = -73 + 254. What is the remainder when g is divided by 14?
7
Let t(r) = -7*r**2 + 94*r + 14. What is the remainder when t(5) is divided by 100?
9
Let d be (4 + (-9)/2)*(-1 + 1045). Let s be (2/(-6))/((-2094)/d - 4). Let p = -16 - s. What is the remainder when 50 is divided by p?
11
Suppose -4*w + 30 = -3*w - 45. What is the remainder when 933 is divided by w?
33
Let n be 2/(-10) - (-46)/5. Let t(o) = -47*o + 31. Calculate the remainder when t(-4) is divided by (-238)/(-18) - (10/n)/5.
11
Calculate the remainder when 2/(30/1065) - 12 is divided by 31.
28
Suppose 23*m - 174*m = 0. Let r(w) = 5 + 2*w**2 + 2*w - 3*w + 2. What is the remainder when r(m) is divided by 2?
1
Let j be -3 - 2 - (-3 + 5 - 11). Suppose 2*b + 134 = j*m, -5*b + 53 = m + 3. Calculate the remainder when 139 is divided by m.
34
Suppose 6*x = -0 + 24. Let l(o) = -o**3 + 3*o**2 + o + 3. Let z be l(x). Let u = 13 + z. Calculate the remainder when 21 is divided by u.
1
Suppose 0 = 3*b - 3*p - 231, -8*b - p + 367 = -3*b. Calculate the remainder when b is divided by 32.
10
Suppose 0 = 429*l - 426*l - 15. Suppose -z + 319 + 16 = 4*s, 163 = 2*s + l*z. Calculate the remainder when s is divided by 31.
22
Let d(r) = 5*r**2 - 5*r - 37. C