396 - 16 = 0. Suppose 1014 = -33*t + 111*t. What is the remainder when h is divided by t?
11
Suppose 2 - 12 = -5*w. Suppose 0 = -4*z + 8, w*d - 4*z - 38 = -6*z. What is the remainder when 46 is divided by d?
12
Let r(v) = v**3 + v**2 - 2*v + 1. Let j be r(2). Let b(c) = 2*c - 8. What is the remainder when -6 - (12 + -11 + -43) is divided by b(j)?
6
Let u = -10 + 26. Suppose 0 = -33*h + 3286 - 745. What is the remainder when h is divided by u?
13
Suppose -4*w + 0*c + 183 = c, -w + 42 = -c. Let y(s) = -2*s**2 + 29*s - 5. Let j be y(13). Let b = -22 + j. Calculate the remainder when w is divided by b.
9
Suppose -8*j + 4*j + 24 = 0. Suppose -h + j*f + 44 = f, -5*f + 103 = 2*h. Calculate the remainder when h is divided by 10.
9
Suppose 21 = -3*r - 2*x, 5*x = 2*r - 0*x + 14. Calculate the remainder when 23 is divided by 207/21 + (-1)/r.
3
Suppose f - 5*b = 744, f - 2*f + 740 = -4*b. What is the remainder when f is divided by 6?
4
Let y(k) = -k**2 + 24*k - 46. Calculate the remainder when 47 is divided by y(21).
13
Let c = -10 + 6. Let b be (2/c)/(3/(-18)). Suppose 0 = -l + b*z - 4*z, -l = 5*z + 16. Calculate the remainder when 22 is divided by l.
2
Suppose z - 2*n = 0, -45*z + 16 = -40*z - 2*n. What is the remainder when 55 is divided by z?
3
Let y be -4 + (626 - (0 - 4)). Suppose -5*l = -y - 34. What is the remainder when l is divided by 34?
30
Let x(l) be the first derivative of -11*l**4/4 + l**3/3 - l**2 - 2*l - 6. What is the remainder when x(-1) is divided by 7?
5
Suppose 88 = -4*u - 4*v, -3*v + 78 + 0 = -3*u. Let n = u - -43. What is the remainder when n is divided by 6?
1
Suppose 0*y + 12 = 4*y. Suppose 2*u - 13 = 3*u + y*j, u + 4*j = -12. Calculate the remainder when 1/4 - 108/u is divided by 2.
1
Let i = -3 + -4. Let f = i - -10. Suppose 2*d = -4*g + 26, 10 = f*g - 2. What is the remainder when 14 is divided by d?
4
Suppose -3*x + 38 = 5*l, -5*x + l - 2*l = -34. Suppose -x*k - 63 = -267. Calculate the remainder when 131 is divided by k.
29
Calculate the remainder when 453 is divided by 5*((-408)/(-30) - 6).
35
Suppose -3*s + 34 = -o - 15, 4*o + 4*s = -260. Let a = o - -108. What is the remainder when a is divided by 25?
22
Let i = 312 - 174. What is the remainder when i is divided by 75?
63
Let g(d) = -d**3 - 6*d**2 - 3. Let a be g(-6). Let n(m) = -11*m - 4. Suppose -4*h + 56 = 3*h. What is the remainder when n(a) is divided by h?
5
Let d = -611 - -660. Let w = -39 + 58. Suppose -2*a + g = -6*a + 57, 3*a = 4*g + w. Calculate the remainder when d is divided by a.
10
Let i(j) = j**2 - 9*j + 4. Let b be i(9). Calculate the remainder when 9 is divided by ((-18)/27)/(b/(-18)).
0
Suppose 162 = 3*q + 5*n, 4*q = -4*n + 7*n + 216. Suppose 5*k - 444 = -q. Calculate the remainder when k is divided by 20.
18
Suppose 216 = -9*i + 684. Calculate the remainder when i is divided by 6.
4
Let d = 120 - 104. Suppose -95 = -d*b + 33. What is the remainder when b is divided by 4?
0
Let z = 194 - 190. Calculate the remainder when (-5)/(-3 - 6/(-3)) is divided by z.
1
Let t be ((-15)/6)/(15/(-12)). Let l = t + -2. Suppose l = 4*y - 33 - 87. What is the remainder when y is divided by 11?
8
Let b = 83 + -77. Suppose -3*d = -6, -4*d + 12 + 16 = 2*z. Calculate the remainder when z is divided by b.
4
Let o be (-16)/(-5)*(-60)/(-8). Let y(x) = -6*x + 3 - 2 + o*x. Calculate the remainder when y(1) is divided by 10.
9
Suppose -245 = -13*w + 5995. Suppose 0*z + 5*z = 3*f - w, z = 0. Calculate the remainder when f is divided by 23.
22
Suppose 4*k = -0 + 72. Suppose -2*p - 67 + 171 = 0. Calculate the remainder when p is divided by k.
16
Let i be (12/(-10))/(-1 - (-9)/15). Suppose 3*c = 2*a + 7 + 5, -30 = -i*c - 4*a. Calculate the remainder when 33 is divided by c.
3
Suppose 7*q - 2*q - 3*l - 16 = 0, q = -3*l + 14. Let w = -19 + 21. Calculate the remainder when q is divided by w.
1
Let s = 1493 + -1486. What is the remainder when (-6)/(1 + 7/(-5)) is divided by s?
1
Suppose -f = 2*u - 32, 5*u = -4*f - 0*u + 131. Calculate the remainder when 41 is divided by f.
7
Let p(l) = l**2 + 16*l + 67. Let j(q) = 12*q**2 - q. Let g = -3 - -4. What is the remainder when j(g) is divided by p(-10)?
4
Let g(l) = 10*l + 3. Let x(h) = h**2 - 2*h + 3. What is the remainder when g(3) is divided by x(5)?
15
Suppose 0 = -2*l + 5*s + 12, -l + 2*l = 3*s + 6. What is the remainder when 46 is divided by 8 - (4/l + (-4)/6)?
6
Suppose 5*z = -3*b + 1384, 3*z - 410 = -b + 46. Suppose -b = 4*w - 8*w. Calculate the remainder when w is divided by 30.
27
Suppose -4*n + 14*n - 20 = 0. Suppose -5*f + n*c + 55 = -193, 5*c = -2*f + 105. What is the remainder when 195 is divided by f?
45
Let g(c) = 9*c**3 + c**2 - 2*c + 1. What is the remainder when 249 is divided by g(1)?
6
Suppose 122 = 3*w + 2. Suppose -3*f = f - w. Calculate the remainder when f is divided by 6 + 0 + 3 + -3.
4
Let r be 0*(0 - -1)/3. Suppose r*o - 6*o = -78. Let v = 28 - o. What is the remainder when 29 is divided by v?
14
Suppose 0 = 29*k - 18*k - 341. What is the remainder when k is divided by 6?
1
Suppose 0 = -2*k - k + 3*a + 171, 2*k + 4*a = 126. Calculate the remainder when k is divided by 31.
28
Calculate the remainder when 196 is divided by (-8 - (-2093)/63) + 4/(-18).
21
Let f(r) = 140*r - 159. What is the remainder when f(3) is divided by 14?
9
Let c = -73 + 156. Let q = 87 - c. What is the remainder when 55 is divided by q?
3
Suppose 24*x - 21*x = -2*k + 37, -3*x + 59 = 4*k. Calculate the remainder when 142 is divided by k.
10
Suppose -3*y - 20 = 5*f, -5*y = -3*y + 10. What is the remainder when -3 - (3 - (78 - f)) is divided by 15?
13
Let g = -309 - -339. What is the remainder when 56 is divided by g?
26
Suppose -2*s + 26 + 4 = -4*n, 5*s = 3*n + 54. Suppose 3*i = 0, -2*w = 2*w - i - 8. What is the remainder when ((-48)/30)/(w/(-20)) is divided by s?
7
Let v = 4 - 6. Let m = 3 - v. Let a = -179 - -182. What is the remainder when m is divided by a?
2
Suppose 4*q = -0*h - 4*h + 24, 4*h = -q + 18. Suppose 0 = q*k - 0 + 8. Calculate the remainder when 1188/30 - k/10 is divided by 14.
12
Let b(d) = 3*d**3 - 3*d**2 + 6*d - 10. Calculate the remainder when (-368)/(-14) + 4/(-14) is divided by b(2).
12
Suppose -363 = 13*d - 1026. Let p(s) = -3*s + 5. Calculate the remainder when d is divided by p(-7).
25
Let y = -14 - -18. Let q be (-21)/14*y*-1. Suppose 0 = 4*o - q*o + 44. What is the remainder when o is divided by 6?
4
Suppose -2*n + 5*g + 9 = -0, -4*n + 11 = -3*g. Let h = -2 + 1. What is the remainder when 1*(-3 - h*10) is divided by n?
1
Calculate the remainder when 1/11 - 10720/(-176) is divided by 32.
29
Let q = -78 - -96. What is the remainder when 64 is divided by q?
10
Let f(s) = s**2 + 20 - 9 - 4*s + s**2 - 6. What is the remainder when 59 is divided by f(4)?
17
Suppose 0 = -2*g, 4*b = 4*g - 3 + 23. Suppose -3*p - 4*u + 16 = -111, 4*u + 201 = b*p. Let a = -26 + p. Calculate the remainder when 54 is divided by a.
9
Suppose 15*q - 261 = 2394. Calculate the remainder when q is divided by 61.
55
Let c(z) = -46*z**3 - z**2 - 4*z - 4. Let x = 3 + 5. What is the remainder when c(-1) is divided by x?
5
Let x = 934 - 926. What is the remainder when 85 is divided by x?
5
Suppose -5*f - 3*l = -0*l - 40, 0 = 4*f - 3*l - 32. Let g(p) = -1 - 4*p**2 + 4*p**3 - p - 7*p**3 + 2*p**3. What is the remainder when f is divided by g(-4)?
2
Suppose 3666 = 22*z - 16*z. Calculate the remainder when z is divided by 14.
9
Let y = 145 + -57. Let q = -3867 + 3897. Calculate the remainder when y is divided by q.
28
Let u(k) = k**3 + 5*k**2 - k - 2. Let f be u(-4). Let b be 3*33/f*2. Suppose 8*x - b*x + 12 = 0. Calculate the remainder when x is divided by 3.
1
Calculate the remainder when 8/(-28) - (-1432)/14 is divided by 15.
12
Suppose 39*n = 43*n - 136. What is the remainder when 134 is divided by n?
32
Suppose -3*u = -a - 235, -4*u - 4*a = 259 - 551. Suppose -f - 130 = -6*f. What is the remainder when u is divided by f?
25
Let m(o) = 19 + o - 2*o**2 - 4*o**2 + 5*o**2 + 11*o. Calculate the remainder when m(7) is divided by 7.
5
Let y = 192 + -110. Calculate the remainder when 404 is divided by y.
76
Suppose -12 = -3*l - t + 8, -2*t + 12 = 2*l. Suppose -2*u + 3*u + c = l, -2*u - 1 = -3*c. Calculate the remainder when 14 + (-1 - 0) - -1 is divided by u.
2
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