*u = 43*u + 96. Let x = -24 - -44. Let t = u - x. What is the remainder when 23 is divided by t?
11
Suppose 0 = 4*p + 3*u, 2*p = -u + 5*u. Suppose 81 = 5*n - p*n - 3*c, -2*c - 34 = -2*n. Calculate the remainder when n is divided by 8.
7
Suppose 6*t = 2*t - 6*j + 1026, 5*t - 1294 = 4*j. Calculate the remainder when t is divided by 9.
6
Suppose r - 2*m + 22 = 4*r, -15 = -3*m. What is the remainder when 69 is divided by r?
1
Let b(w) = -8*w + 7. Suppose 7*u + 24 = u. What is the remainder when b(u) is divided by 10?
9
Suppose -2*p + 5*p + 8 = 4*k, -5*k + 10 = -3*p. Suppose -3*i + 60 = -h, -2*i - k*h = 2*i - 90. Let d = -9 + i. What is the remainder when d is divided by 5?
2
Let m(v) = -v**3 - 6*v**2 - 2*v - 17. Let y be m(-7). Suppose 0 = 4*j - a - 179, -5*a - y - 145 = -4*j. What is the remainder when j is divided by 17?
10
Let s be 3*(0 - -4)*2. Let f = s + -22. Suppose -7 = -f*j + j. Calculate the remainder when j is divided by 2.
1
Let d(j) = 3*j**2 - 18*j + 143. What is the remainder when d(8) is divided by 58?
17
Let y(k) = -k**2 - 22*k + 13. Let f(u) = -u - 14. Let w be f(5). What is the remainder when y(w) is divided by 20?
10
Let j(c) = -c**2 + c + 8. Calculate the remainder when 13 is divided by j(2).
1
Suppose 4*z - 54 = -14. Calculate the remainder when 55 is divided by z.
5
Suppose -3*t - 27 = -3*u, -37 = -2*u - 3*u - 3*t. Let l(r) = r**2 - 8*r + 8. Calculate the remainder when l(u) is divided by 7.
1
Suppose -10 = d - 6*d. Suppose -106 = 5*y + t, 0 = -3*y - d*y + 3*t - 102. Let h = 25 + y. Calculate the remainder when 8 is divided by h.
0
Suppose 0 = 4*d - x - 16, -2*d - 3*x + x = -8. Let i = 24 + -21. Suppose 10*t - i*t = 42. What is the remainder when t is divided by d?
2
Suppose 256 = -4*x - 0*x + 3*p, -5*p + 114 = -2*x. Let z = -58 - x. What is the remainder when (3/(-6))/(1/(-66)) is divided by z?
6
Let f(n) = -8*n - 7. Let x = 12 + -17. What is the remainder when f(x) is divided by 12?
9
Let y be 1 - (-5550)/78 - 2/13. Let k = y + -47. Calculate the remainder when k is divided by 15.
10
Suppose 76 = -0*v + v - s, 4*s = 3*v - 230. Suppose 0 = o - 9*u + 4*u - v, 4*u = 3*o - 189. Calculate the remainder when o is divided by 31.
28
Suppose 11*k - 12*k - 252 = -4*n, 0 = 2*n + k - 120. Let z(g) = g**2 + 2*g - 6. What is the remainder when -4 + (n - -5) + 6 is divided by z(4)?
15
Suppose -x - 3*x = -t - 532, 0 = x + 5*t - 133. What is the remainder when 410 is divided by x?
11
Suppose 0 = -2*h - 3*m + 8, 0*m = -4*m. Suppose 0*z = z - 4. Suppose 0 = -z*q - 2*b + 18, -3*q + 4 + 22 = h*b. What is the remainder when q is divided by 2?
0
Calculate the remainder when 89 is divided by 24/(-30)*(-3 + -12).
5
Let b(q) = -q**3 + 7*q**2 - 6*q + 5. Let h(t) = 2*t - 8. Let n be h(9). Suppose 0 = -0*z - z + n. What is the remainder when b(4) is divided by z?
9
Let p(b) = -b**2 + 3*b - 1. Let i = 1033 - 1029. What is the remainder when i is divided by p(1)?
0
Suppose 270*f + 776 = 278*f. What is the remainder when f is divided by 20?
17
Let r = -990 - -1006. What is the remainder when 189 is divided by r?
13
Let s = 445 - 294. What is the remainder when s is divided by 67?
17
Suppose -7*x - 373 + 1346 = 0. Calculate the remainder when x is divided by 18.
13
Let v(g) = 4 - 4 - 1 + 2*g. Suppose 2*f + 4*h - 85 = -3*f, 3*h = -4*f + 68. Calculate the remainder when f is divided by v(5).
8
Let u = -182 - -215. What is the remainder when 329 is divided by u?
32
Let r = 940 + -907. Calculate the remainder when 593 is divided by r.
32
What is the remainder when 572 is divided by 0/((-8)/2) + 48?
44
Let m(z) = 14*z - 12. Let o(l) = -16*l**3 - 1. Calculate the remainder when m(6) is divided by o(-1).
12
Suppose -2*n = -n + 2*k - 92, -3*k - 249 = -3*n. What is the remainder when n is divided by 47?
39
Let s = -6 - -15. Let z be (-6)/(-4)*(-156)/117. What is the remainder when s is divided by -1 - (-5 - (4 + z)/(-2))?
0
Let s(l) be the first derivative of 3*l**2 + l + 11. Calculate the remainder when 4/(-5) - (-2470)/25 is divided by s(4).
23
Let p be 4560/(-100) + 4/(-10). Let k = p - -76. Let y(x) = 2*x**3 - 3*x**2 + 3*x - 3. Calculate the remainder when y(4) is divided by k.
29
Suppose -44 = -5*p + 51. What is the remainder when p is divided by 18?
1
Let p = -30 + 45. Suppose -b - 3 = v + 37, 3*v + 75 = -2*b. Calculate the remainder when p is divided by 16/6*b/(-30).
3
Suppose r - g - 2 = 10, 0 = -5*r + 3*g + 68. Calculate the remainder when 188 is divided by r.
12
Let o(m) = -2*m + 11. Suppose y = 2*y - 24. Suppose -4*s = -w + 23 + y, -3*w - 2 = s. Calculate the remainder when o(s) is divided by 18.
15
Suppose 0 = 5*u - w - 683, 5*u + 12*w = 10*w + 674. What is the remainder when u is divided by 16?
8
Let s = -969 + 976. Calculate the remainder when 221 is divided by s.
4
Suppose -d = -2*s - 50, 2*s - 35 = -d + 3. Suppose 11*l = 13*l - d. Suppose -7 + 37 = 5*r. What is the remainder when l is divided by r?
4
Let f be 542/3*3/2. Let x = f - 113. Suppose 0*r = 3*u + 4*r - x, 2*u = -2*r + 106. Calculate the remainder when u is divided by 14.
12
Let h(n) = 37*n + 485. What is the remainder when 200 is divided by h(-12)?
36
Let q(l) = -6*l - 1. Let h be q(-5). Let g be (4 + 26)*8/(-20). Let x = g + h. What is the remainder when x is divided by 5?
2
Let u(h) = h**2 + 4*h - 2. Let r be 31 - (-9)/(9/(-4)). Let j = r + -17. Calculate the remainder when j is divided by u(-5).
1
Let w(t) = 190*t - 43. What is the remainder when w(1) is divided by 14?
7
Let b be (6/(-4))/(6/(-4)). Let i be ((-4)/6)/(b/(-3)). Suppose -f + i*f - 63 = 0. What is the remainder when f is divided by 16?
15
Suppose 0*x + 2*x = -2. Let s(d) = -d**2 + d + 2. Let c be s(x). Suppose c = -2*n - 2*n + 28. Calculate the remainder when 25 is divided by n.
4
Let c(k) = -k**3 + 8*k**2 - 6*k - 2. Calculate the remainder when 23 is divided by c(7).
3
Let u be 0/(-2) - 5*25. Let g be (1/6)/(6/12)*618. Let m = u + g. What is the remainder when m is divided by 21?
18
Suppose -1760 + 3 = -7*f. What is the remainder when f is divided by 42?
41
Suppose 2*z = 2*v - 30, 2*v - v + 5*z - 39 = 0. What is the remainder when 872 is divided by v?
17
Let h be 3/(-21) - (-570)/21. Let g = h + 18. Let i = g - 25. Calculate the remainder when 57 is divided by i.
17
What is the remainder when (1/(-4))/((-64)/2816) is divided by 5?
1
Let v(o) = -o**3 - 23*o**2 - 54*o + 75. Calculate the remainder when v(-23) is divided by 40.
37
Let u(y) = 4*y**2 - 18*y - 37. Calculate the remainder when 285 is divided by u(-4).
87
Let q be (-26)/(-5)*(-205)/(-82). Suppose 2*z = q + 17. Calculate the remainder when 40 is divided by z.
10
Let x(y) = 41*y - 70. What is the remainder when 299 is divided by x(2)?
11
Calculate the remainder when ((-1 - -2)*-4)/((-391)/2346) is divided by (2 - 1) + (4 - -8).
11
Let r = -7 + 13. Suppose 35 = -d + r*d. Suppose 4*o + 27 - 94 = -3*g, 0 = -g + 3*o + 31. What is the remainder when g is divided by d?
4
Let m(n) = 14*n - 1. Suppose 458 = 4*t + 430. Calculate the remainder when m(1) is divided by t.
6
Let o be (55/(-22))/((-2)/12). Let i = -25 + o. Let k = 21 + i. What is the remainder when 41 is divided by k?
8
Let v be ((-10)/(-15) - 1)*3*2. Let q = v - -24. Calculate the remainder when q is divided by 5.
2
Suppose 2*o = -0*o. Suppose -6*d - d + 126 = o. Calculate the remainder when 422/6 - 4/(-6) is divided by d.
17
Suppose -z + 78 = -4*q, 8*z = 3*z + 2*q + 408. Let o = z + -68. Calculate the remainder when 55 is divided by o.
13
Suppose 0 = 75*a - 103*a + 36036. Calculate the remainder when a is divided by 23.
22
Suppose -16*u + 103 = -217. What is the remainder when 279 is divided by u?
19
Let i(q) = -q**3 - 17*q**2 + 17*q. Suppose 0 = c + 4*p - 15, 4*p = p. Suppose 5*k - c = 2*k. Calculate the remainder when i(-18) is divided by k.
3
Suppose 0 = 3*z - 8*z + 390. Suppose 16*l - z = 3*l. What is the remainder when 35 is divided by l?
5
Let g = -507 - -536. What is the remainder when 66 is divided by g?
8
Let v(w) = -w**2 - 11*w + 2*w - 6*w + w + 7. Let x be v(-9). Suppose -2*b = -3*y + 58, -2*y = 2*b - 6*b - x. What is the remainder when 29 is divided by y?
13
Suppose 19*m = 580 + 921. What is the remainder when m is divided by 9?
7
Let l = -863 - -1132. What is the remainder when l is divided by