4*p + 221 = 5*k - 340, 0 = 4*k - 20. Calculate the remainder when p is divided by 74.
60
Suppose 2280 = -0*m + 24*m. Calculate the remainder when 311 is divided by m.
26
Let r = 2 + -11. Let k(f) = -f - 1. Calculate the remainder when -10*(-2 - (-3)/(-6)*-1) is divided by k(r).
7
Let k(y) = -y**2 - 19*y + 53. Calculate the remainder when 129 is divided by k(-21).
8
Let y(s) = 2 - 5 + 3*s**3 - s**2 + 3*s + s. Suppose -2*c + 1 = -q, -5*c + 22 = -0*c + 4*q. What is the remainder when 98 is divided by y(c)?
23
What is the remainder when 101 is divided by (-15)/(-25) - (-214)/10?
13
Suppose 5*u - 4*j = -152 + 555, -4*j + 261 = 3*u. Calculate the remainder when u is divided by 28.
27
Let c(x) = -x**3 - 21*x**2 + x + 32. What is the remainder when 17 is divided by c(-21)?
6
Suppose 5*p = -2*n + 30, -3 = 4*p + n - 24. Let l(z) = -4 + 0*z**3 - p*z**2 - 7*z - z**3 + 5*z - 2. Calculate the remainder when l(-4) is divided by 2.
0
Suppose 16 = 4*k - 0. Let m = -6 - -10. What is the remainder when (10/m)/((-2)/(-8)) is divided by k?
2
Calculate the remainder when 419 is divided by (-2)/96*-8 - (-2515)/30.
83
Suppose -2*k = -5*q + 217, 3*k - 196 = -4*q - k. Calculate the remainder when 163 is divided by q.
28
Suppose -2*v = -4*c, -20 = -v + 7*c - 9*c. Suppose -2*n - 97 = -333. What is the remainder when n is divided by v?
8
Let u(r) = -r + 3 + 3*r - 5 + 75*r**2. Calculate the remainder when u(1) is divided by 38.
37
Suppose -67*v = -66*v - 138. What is the remainder when v is divided by 40?
18
Let o be 2/7 + (-276)/(-14). Suppose 2*z + 2*n = 116, 2*n = 6*n - o. Calculate the remainder when z is divided by 175/10*((-56)/(-20) + -2).
11
Let u(t) = -t**2 - 24*t - 38. What is the remainder when u(-10) is divided by 41?
20
What is the remainder when 78 is divided by 94/8*8*(-1)/(-2)?
31
Suppose -3*x - 4*g + 54 = 0, 0*g - 39 = -3*x + g. Let b(r) = r**3 - 3*r**2 + 7*r - 5. Calculate the remainder when b(4) is divided by x.
11
Let x(m) = -6*m**2 - 7*m - 6. Let c be x(3). Let a = 93 + c. What is the remainder when 105 is divided by a?
9
Suppose -3*o - 4*m = -228, 587 - 199 = 5*o + 4*m. What is the remainder when o is divided by 23?
11
Let x(g) be the second derivative of 4*g**3/3 - 2*g**2 + 10*g. What is the remainder when x(3) is divided by 12?
8
Let z(n) = 69*n**2 + n. What is the remainder when z(-1) is divided by ((-189)/42)/(2/(-8))?
14
Let j be (-2)/(-1)*(-11)/2. Let r = j - -112. Let i = 148 - r. What is the remainder when i is divided by 16?
15
Suppose -3*h + 29 + 121 = 0. What is the remainder when 394 is divided by h?
44
Suppose 4*z - 4 = 0, -17*m + 16*m = -z - 32. Calculate the remainder when 115 is divided by m.
16
Suppose -5*g + 3 = -17. Suppose g*i = i + 87. Suppose 5*n - 290 = 2*b, -270 = -5*n + b - 3*b. Calculate the remainder when n is divided by i.
27
Suppose f = -4*f + 15. Suppose -b - 38 = -f*y, 0*b - 3*y = 5*b + 100. Let t = b + 38. Calculate the remainder when 44 is divided by t.
14
What is the remainder when 121 is divided by (18/(-15))/((-12)/270)?
13
Calculate the remainder when 93 is divided by (-14)/(-21) + (-1 - (-320)/6).
40
Let x(z) = 46*z - 2. Suppose -156 = -11*i + 2231. What is the remainder when i is divided by x(1)?
41
Let r(h) = h**2 + 28*h - 126. What is the remainder when 193 is divided by r(5)?
37
Suppose -24 = -4*y - 4*o, -2*o + 5 = -y - 4. Let x = y + 22. What is the remainder when x is divided by 9/21 + (-53)/(-7)?
7
Let f = -7 + 7. Suppose 3*d - 5*k - 27 = f, -d - 4*k = k - 9. What is the remainder when 72/24 + (-3)/(3/(-31)) is divided by d?
7
Let c = 1504 - 1467. What is the remainder when c is divided by 14?
9
Suppose -82 = -16*s + 398. Calculate the remainder when 68 is divided by s.
8
Suppose -152*j + 130 = -139*j. What is the remainder when 2/(-3) - 330/(-9) is divided by j?
6
Suppose -24*g = -3*g - 6867. Calculate the remainder when g is divided by 37.
31
Calculate the remainder when 742/8 + 5/20 is divided by (24/5)/(-1)*(-100)/15.
29
Suppose -26*d + 6080 = -1954. Calculate the remainder when d is divided by 39.
36
Let y(p) = -2*p + 6. Let d be y(3). Suppose d = -2*r + 12 - 2. What is the remainder when r is divided by 4?
1
Let v = -5 - -8. Let i(z) = -4*z - 12*z - z**3 - 110*z**2 + 129*z**2 - 32. Calculate the remainder when i(18) is divided by v.
1
Let r(a) = a**2 + 3*a + 3. Let t(k) = -k + 1. Let b be t(6). What is the remainder when r(b) is divided by 4?
1
Let n be (7/14)/((-1)/(-112)). Let z be (-2)/3 + n/(-6). Let v(m) = m**3 + 10*m**2 + 5. What is the remainder when 8 is divided by v(z)?
3
Let t(b) = 8*b - 24. Calculate the remainder when 141 is divided by t(9).
45
Suppose -n = -6*n - 25, -41 = -3*m - 2*n. Let r = 264 - 258. Calculate the remainder when m is divided by r.
5
Let n be (11/15 - (-10)/(-25))*96. Suppose 3*a = o + 35 + 1, -2*a + n = 2*o. What is the remainder when a is divided by (-100)/(-12) + 4/6?
4
Let q = 13 - 9. Let l = q - -6. Suppose 15*h = l*h + 235. Calculate the remainder when h is divided by 12.
11
Let o(p) = -p**2 - 16*p - 24. Suppose -a = -3*a + 10. What is the remainder when o(-12) is divided by a?
4
Suppose 4*q + 428 = 93*i - 90*i, -5*i = 2*q - 670. Calculate the remainder when i is divided by 59.
18
Let i = -1326 + 1583. Calculate the remainder when i is divided by 52.
49
Suppose 0 = 3*s + 38 - 131. Suppose 0*f + 55 = 5*f. What is the remainder when s is divided by f?
9
Let c(d) = d**3 - 5*d**2 + 4*d + 7. Let x be c(4). Suppose -52 = x*l - 9*l. Calculate the remainder when 76 is divided by l.
24
Suppose 210 = 5*z - u, -z = -4*u - 20 - 3. Let m = -16 + z. What is the remainder when 79 is divided by m?
25
Suppose 32 = 5*x - 68. Suppose 9*w - 8*w = x. Calculate the remainder when 57 is divided by w.
17
Let c(m) = 2*m**2 + 2*m - 1. Let z(l) = l**2 - 12*l + 9. Let k be ((-8)/6)/((-12)/108). Calculate the remainder when z(k) is divided by c(-2).
0
Let j = 268 - 102. Calculate the remainder when j is divided by 76.
14
Suppose -6*l + 5*l + 24 = 2*g, 39 = 3*g + 3*l. Calculate the remainder when g is divided by 9.
2
Suppose 7 - 25 = -9*o. Suppose 3*z = 4*d - 2*z - 81, o*z = 6. What is the remainder when 93 is divided by d?
21
Let n(j) = 2*j**3 + 29*j**2 - 27*j - 27. What is the remainder when n(-15) is divided by 41?
30
Suppose 3*u + 21 = 51. Suppose 8 = -4*s, -5*t + s + 12 = -10. What is the remainder when 24 - (-1 + (t - 6)) is divided by u?
7
Suppose 4*g - 44 = -4*f, -f - 9*g + 31 = -13*g. What is the remainder when 191 is divided by f?
11
Suppose -2*y - 3*y - u = -93, y = 2*u + 12. Suppose 7 = -d + 13. Suppose -d = -4*l + y. What is the remainder when 11 is divided by l?
5
Suppose 15*n - 5*p + 20 = 16*n, -2*n = -4*p - 54. Calculate the remainder when 70 is divided by n.
20
Calculate the remainder when 53 is divided by (3 - (5 + -5)/2) + 13.
5
What is the remainder when 48 - (-40)/((-35)/7) is divided by 11?
7
Suppose 2*a + 4*g = -2*a + 188, -5*a + 199 = -4*g. Let q = 10 - 6. Suppose -q*s + 56 = 2*h, 0*s + 38 = 2*h - 2*s. What is the remainder when a is divided by h?
21
Let y(j) = 6*j + 51. What is the remainder when 147 is divided by y(4)?
72
Let x = 54 - 47. Let j be (12/(-9))/((-4)/6). Suppose j*l - 33 = -3*m, -4*l - 40 = -5*m + 15. Calculate the remainder when m is divided by x.
4
Let d be ((-4)/10)/((-2)/120). Suppose -50 = -3*z - 2*p + d, z + p - 23 = 0. What is the remainder when z is divided by 8?
4
Let z = -287 - -338. Calculate the remainder when 183 is divided by z.
30
Let h = 2 + -4. What is the remainder when 20 is divided by ((-35)/10)/(1/h)?
6
Let f(l) = 2*l**3 + 23*l**2 - 13*l + 9. Calculate the remainder when 101 is divided by f(-12).
17
Let q = -35 - -38. Suppose 0 = 2*d + 8, 5*d + q = -3*b + 4. Suppose -2*i - 2 - 4 = 0, 0 = -5*j - i + 12. Calculate the remainder when b is divided by j.
1
Let t = 23 + -20. Suppose 0 = -2*v - t*w + 9, -2*v - 49 = -4*v + 5*w. Calculate the remainder when 52 is divided by v.
4
Suppose n + 3*x = 115, 4*n = -0*n - 2*x + 420. Let b = -69 + n. What is the remainder when b is divided by 18?
16
Suppose 5*o = 7*o - 2. Let y(c) = 3 + 3*c - o - 2*c + 4. What is the remainder when 46 is divided by y(10)?
14
Suppose 3*t + 200 = 2*w + 2*w, -5*w + 257 = -2*t. Let j be (7 + 2)*-1*1. Let f = 23 + j. Calculate the remainder when w is divided by f.
11
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