divided by 6.
3
Suppose 694*a - 19 = 693*a. What is the remainder when 246 is divided by a?
18
Suppose 34*y - 12*y - 792 = 0. Calculate the remainder when 146 is divided by y.
2
Let a(x) = x**3 + 4*x**2 + 4*x + 2. Let l be a(-2). Suppose -6*q + 136 = -2*q. Calculate the remainder when q is divided by 38/3 + l/(-3).
10
Suppose 40 = 4*s + 4. Let z(b) = -b**3 - 4*b**2 + 4*b - 4. Let p be z(-5). What is the remainder when p*2*(-40)/(-5) is divided by s?
7
Suppose 2*r = 6*r, y + r = 29. Suppose 430 = 2*n + 3*n. Calculate the remainder when n is divided by y.
28
Let x be 2 - 1 - 4/(-1)*1. Suppose 0 = x*b + 5*w - 515, w = -3 + 5. What is the remainder when b is divided by 17?
16
Let l be ((-18)/15)/(33/(-55)). Calculate the remainder when 22 is divided by l/(-2 - (-12)/5).
2
Suppose 0 = -0*t + 3*t - 4*n - 24, -4*n - 4 = 2*t. Suppose -i - 18 = -t*i. Calculate the remainder when 107 is divided by i.
5
Suppose 4*n - 3*d = 0, 0 = 5*n + d - 5*d. Calculate the remainder when -4 - (3 + (-100 - n)) is divided by 16.
13
Let a(r) = 2*r**3 - 5*r**2 - 2*r - 4. Let g be a(4). Suppose 4*w - g = w. Let i = w + -7. What is the remainder when 7 is divided by i?
2
Suppose 3*n = w + 247, 5*w + 35 = 4*n - 287. What is the remainder when n is divided by 43?
40
Let z(u) = 102 + 1225*u - 28 - 1227*u. What is the remainder when 187 is divided by z(18)?
35
Let s = -516 - -583. What is the remainder when 323 is divided by s?
55
Let a = -271 + 285. Suppose -3 = 2*v + 3*d - 6, -2*v = d - 5. Suppose 4*b = -3*r + 9 + 47, b - a = -v*r. What is the remainder when 67 is divided by b?
11
Suppose -5*x = -6 - 4. Suppose -x*j = 8, 0 = -5*u + 4*j + 24 + 62. Calculate the remainder when 54 is divided by u.
12
Let p = -65 + 134. Suppose 8*l - 630 = 3*l. Suppose 4*d - 12 = -0*d, -5*q - 2*d + l = 0. Calculate the remainder when p is divided by q.
21
Suppose 0 = 5*r - 4*s + 440, -5*s - 209 = -2*r + 4*r. Let q = r + 53. Let v = q + 68. What is the remainder when v is divided by 4?
1
Let c(p) = -2*p**2 - p**3 - 8*p + 4 + 2*p**2 - p**2 + 5*p. What is the remainder when c(-3) is divided by 12?
7
What is the remainder when 386 is divided by (-13)/(-2)*(1 + 4 + -1)?
22
Suppose -2*r + 4*r - a = 32, 5*r - 79 = 2*a. What is the remainder when 101 is divided by r?
11
Let a(l) = 2*l**2 + 23*l + 27. Calculate the remainder when (-4)/16*-43*4 is divided by a(-11).
11
Let w be 0/(-3 - -4) - 15/(-5). Suppose -4*l = l + u - 14, -w*u + 10 = -l. What is the remainder when 12 is divided by l?
0
Let m(q) = -q**3 - 20*q**2 - 60*q - 279. What is the remainder when m(-18) is divided by 35?
13
Let r(f) = -10*f**2 + 5*f**2 + 6*f**2 + 15 + 7*f. Let c(z) = -z**3 + 5*z**2 - 5*z - 3. Let k be c(4). What is the remainder when 44 is divided by r(k)?
14
Let w = -104 - -73. Let b = 3 - w. Calculate the remainder when 131 is divided by b.
29
Suppose -2 + 6 = 2*y. Let i = 4 - y. Suppose -k - i*t + 34 = -6*t, 3*t - 6 = -k. What is the remainder when k is divided by 7?
4
Let t = -3 + 5. Let r(s) = -s**2 + 4*s + 8. Let b be r(6). What is the remainder when b*(-27 - -1) - t is divided by 26?
24
Let h(r) = r**3 - 7*r**2 - 10*r + 1. Suppose 0 = 12*k - 598 - 14. Calculate the remainder when h(10) is divided by k.
48
Let z = -32 + 138. Calculate the remainder when z is divided by 6 - (3 + 109)/(-7).
18
Let w = -266 + 270. Let r = -4 + 9. Calculate the remainder when 63/r + 4/10 is divided by w.
1
Let v = -17463 - -17588. Calculate the remainder when v is divided by (-9)/(-2)*(-1 - -3).
8
Let m(k) = 7*k**2 + 6*k - 10. Calculate the remainder when m(2) is divided by 20.
10
Suppose -b = 2*o - 27 - 2, 4*b + 3*o - 126 = 0. Calculate the remainder when b is divided by 6/(-45) + 47/15.
0
Suppose -i + g = 4 - 2, -i - 14 = -4*g. Let c(j) = 18*j + 2. Let p = 45 + -25. Calculate the remainder when c(i) is divided by p.
18
Suppose 20*x = c + 25*x, 90 = 3*c - 3*x. What is the remainder when c is divided by (2 - 1)/1 + 5?
1
Let p be (9/6)/((-9)/(-84)). Let w = 56 + p. Calculate the remainder when w is divided by 12.
10
Suppose 5*z - 121 = -21. Suppose -i = -z - 0. What is the remainder when 53 is divided by i?
13
Let n(p) = -9*p + 260. What is the remainder when 85 is divided by n(24)?
41
Suppose 0 = 61*c - 44*c - 255. Calculate the remainder when 88 is divided by c.
13
Let h be (-68)/(-12) - (-4)/(-6). Let j = -2 - h. Let n(x) = x**3 + 7*x**2 - x - 4. What is the remainder when 10 is divided by n(j)?
1
Let w = 23 - 10. Suppose -20 + 5 = -5*l. What is the remainder when w is divided by l?
1
Let l be (0 + 129/6 + 0)*2. Let j = l - 33. What is the remainder when j is divided by 3?
1
Let k(j) = 3 + 15*j - 18*j - 34*j. Calculate the remainder when 118 is divided by k(-1).
38
Let n(v) = v**3 - v**2 + 4*v - 5. Let l(q) = q**2 - 2*q + 1. Let r be l(3). Calculate the remainder when n(r) is divided by 21.
17
Suppose 2*w + 2*d - 6 = 90, -d = 1. Let v be 4/(-14) - (-195)/21. What is the remainder when w is divided by (-1265)/(-99) + 2/v?
10
Let q(i) = 8*i - 2. What is the remainder when q(5) is divided by (1 - 0) + ((-2448)/17)/(-12)?
12
Let s = -76 - -81. Suppose 151 - 36 = s*x. What is the remainder when 86 is divided by x?
17
Let t(u) = -u**2 + 3*u. Let h be t(6). What is the remainder when 53 is divided by (3 - -1)/((-12)/h)?
5
Let d = 2 - -37. Suppose 0 = 16*y - 13*y + 2*h - 30, 5*y = -h + 50. Calculate the remainder when d is divided by y.
9
Let h(f) = 4*f + 186. Calculate the remainder when 143 is divided by h(-36).
17
Let i(v) be the second derivative of -2/3*v**3 + 0 + 1/4*v**4 - 4*v - v**2. What is the remainder when i(6) is divided by 28?
26
Let j = 82 + 27. Calculate the remainder when j is divided by 14.
11
Let o = 14 - 14. Suppose -16*n + 12*n + 156 = o. What is the remainder when n is divided by 11?
6
Let h(z) = -z**3 + 12*z**2 + 66*z + 14. Calculate the remainder when 124 is divided by h(16).
32
Let g(y) = y**2 + 15*y + 16. Let x(v) = v - 1. Let u(l) = -g(l) - 2*x(l). What is the remainder when u(-14) is divided by 8?
4
Suppose 0 = 3*p - 63 - 123. Calculate the remainder when p is divided by 22.
18
Suppose 2*y - 4*w = y + 44, -4*y + 196 = 4*w. Suppose 123 - y = g. What is the remainder when g is divided by 19?
18
Suppose -342 = -8*h + 5*h. What is the remainder when h/10*(19 + -14) is divided by 16?
9
Suppose 0 = 4*i + n - 48, 8*n + 25 = 3*i + 6*n. What is the remainder when 67 is divided by i?
1
Let o be -2*((-2)/2 - 1). Let d = o + -2. Suppose 4*u - 38 = d*u. Calculate the remainder when u is divided by 7.
5
Suppose -1075 = -5*w - x, 5*x = 7*w - 2*w - 1045. Calculate the remainder when w is divided by 5.
4
Suppose -4*k + 3*k + 3 = 0. Let r(x) = -x**2 + 2*x - 2. Let g be r(k). Let b(y) = -y**2 - 4*y + 12. Calculate the remainder when 18 is divided by b(g).
4
Suppose -234 = -15*z + 111. What is the remainder when z is divided by 14?
9
Let o(r) = -r**3 - r**2 - 74. Let h be o(0). Let g = h - -85. Let s(w) = -w**3 - 5*w**2 - 7*w - 5. What is the remainder when s(-5) is divided by g?
8
Let g(x) = -19*x + 68. What is the remainder when g(2) is divided by 16?
14
Let q(s) = s**3 - 13*s**2 + 3*s - 12. Let j be q(13). Let a = j - 24. Suppose 3*w - 4*w = -6. Calculate the remainder when w is divided by a.
0
Let r(k) = k**2 + k + 3. Let b be r(-2). Suppose -b*y = -9 - 246. What is the remainder when y is divided by 13?
12
Let y be -2*(-28)/(-8)*-14. Suppose 2*p + y = 3*a - 23, 2*a - 2*p - 84 = 0. What is the remainder when a is divided by 8?
5
What is the remainder when -3 + 11/4 + (-86695)/(-140) is divided by 27?
25
Let t(s) = -s**3 - 11*s**2 + 9*s - 26. Let c be t(-12). What is the remainder when 34 is divided by 86/c + 4/10?
7
Let j(o) = o**2 - 11*o + 11. Suppose 2*y = -2*n + 20, -4*y = -7*y. Let d be j(n). What is the remainder when 77 is divided by 23*d - (-8 - -11)?
17
Suppose 122*a = 239 + 981. Let l(z) = 40*z**3 - z**2 - z + 1. Calculate the remainder when l(1) is divided by a.
9
Let q(i) = i**2 - i. Let j be q(-3). Suppose -4*a = -j - 0. What is the remainder when a*-33*6/(-27) is divided by 12?
10
Suppose 424 = 2*g + 4*c, -4*g - 4*c = -8*g + 800. Suppose 0 = 41*q - 38*q - g. What is the remainder when q is divided by 18?
14
Let k(q) = q**3 + 10*q**2. Let c be k(-10). Let n(u) = -2*u + 21. What is the remainder when n(c) is divided by 0/3