60))?
8
Suppose -303 = -5*n + 3*p, 5*n - 4*n - p - 61 = 0. Calculate the remainder when 356 is divided by n.
56
Suppose 5*l - 4*l = 2*a - 81, -2*a - 2*l = -72. What is the remainder when a is divided by 28?
11
Let f(x) = -4 - 4*x + 0*x - 3 - 2*x. Calculate the remainder when f(-5) is divided by 4.
3
Let b = 133 + 46. What is the remainder when b is divided by 22?
3
Suppose -4*o + 267 = 23. Suppose 11*j - 9*j - 5*g - 32 = 0, -g - 61 = -3*j. What is the remainder when o is divided by j?
19
Let k = 139 + -89. Let f = k - 16. What is the remainder when f is divided by 9?
7
Let k be (-5)/(-25) + 472/(-10). Let n = -30 - k. What is the remainder when 48 is divided by n?
14
Suppose j = z + 6, -3*j + 5*z + 31 = 15. What is the remainder when 305 is divided by j?
4
Let u = -19 + 21. Suppose -4*n = -u*n - 22. What is the remainder when 52 is divided by n?
8
Let q(j) = -j**3 - 2*j**2 + 2. Let d be q(-1). What is the remainder when 2/4*d + (-115)/(-2) is divided by 10?
8
Let t(g) = 67 - g + 101*g**2 - 67. Let f be t(-1). Calculate the remainder when (f/(-15))/(6/(-15)) is divided by 5.
2
Suppose -30 = -5*m + 150. Suppose 0 = -2*v + 6*v - m. What is the remainder when 44 is divided by v?
8
Let u(n) = 6*n**2 - 70*n - 27. What is the remainder when u(13) is divided by 39?
38
Suppose 66*f - 907 = 479. What is the remainder when 66 is divided by f?
3
Let r(c) = -c**3 - c**2 + 2*c + 90. What is the remainder when r(0) is divided by (-8 + 28 - 1)*(1 - 0)?
14
Suppose 4*t - 21 = 3*w, -2*w + 9 = 2*t + 3*t. Suppose -3*b = -5*g + 72 + 171, -g = t*b - 45. Calculate the remainder when g is divided by 13.
9
Suppose -2*q - 2*d = -14, 0*q = -2*q + d + 2. Suppose q*s + 4*u = 4*s - 26, -4*s - 5*u = -146. Let v = 30 + -21. Calculate the remainder when s is divided by v.
7
Suppose -3*b + 2*t = 16, -2*b + 5*t = 3*b + 35. What is the remainder when 28 is divided by (4 - 62/8)*(b + -2)?
13
Suppose -10 = -r + 3*r. Let v(w) = 2*w**2 + 7*w - 1. Suppose -4*p + 106 = 10. Calculate the remainder when p is divided by v(r).
10
Suppose 0*l + l = m + 32, 4*l - 99 = 3*m. Let s(c) = 4*c - 14. Let w be s(15). Let p = m + w. Calculate the remainder when 67 is divided by p.
16
Calculate the remainder when (62/(-4))/((8 - 7)/(-2)) is divided by 11.
9
Suppose -b + 176 = x, -4 = -x - 3. Suppose -b = -5*u - 0*u. Let j(l) = -l**3 + 6*l**2 + 8*l - 35. Calculate the remainder when u is divided by j(6).
9
Let q be (84/(-36))/(2/(-30)). Suppose -q = -r + 17. Calculate the remainder when 204 is divided by r.
48
Suppose -k = -4, 0 = -o - 6*k + 2*k - 233. Suppose 3*v - 464 = 616. Let n = v + o. What is the remainder when n is divided by 19?
16
Suppose -4*t - 3*u + 15 + 17 = 0, 0 = 3*t - u - 11. Suppose -3*v - 16 = v, d = -v + 6. What is the remainder when d is divided by 2*3 + (t - 5)?
4
Let h = 34 + -24. Let p be 1960/11 - (-22)/(-121). Suppose 0 = -8*j + h*j - p. Calculate the remainder when j is divided by 23.
20
Calculate the remainder when 23 is divided by 536/30 + (110/(-75))/(-11).
5
Let n = 1518 - 1500. Suppose -d = 3*d - 8, 3*d = -5*j + 31. Calculate the remainder when n is divided by j.
3
Suppose 2*b - 76 + 6 = 0. Let q(s) = s + 24. Let l be q(4). Suppose l + 8 = 3*v. Calculate the remainder when b is divided by v.
11
Let r(h) = -32*h - 118. What is the remainder when 502 is divided by r(-5)?
40
Let y = 34 - -5. Calculate the remainder when 49 is divided by y.
10
Suppose y = -0*y - 4*p + 26, -5*y + 84 = -3*p. Let c = -39 - -58. Let l = 14 + c. What is the remainder when l is divided by y?
15
Suppose 0 = b + 3*b + 12, 409 = 5*g + 2*b. What is the remainder when g/5 + (3 - (-39)/(-15)) is divided by 10?
7
Suppose -j + 5*q + 3 = 14, -4*q = -2*j + 8. Let a(g) = g**2 - 12*g - 18. What is the remainder when 16 is divided by a(j)?
6
Let y be (24/18)/(8/84). Suppose -p + y = -1. Let b = -2 - -11. Calculate the remainder when p is divided by b.
6
Suppose -v + 2 = 0, 7*v - 2*v - 6 = p. Suppose -p*m = -2*m. Suppose 3*f - 5*f + 86 = m. What is the remainder when f is divided by 23?
20
Calculate the remainder when 55 is divided by 3/2 + (-871)/(-26).
20
Let c be -3*1 + 81/(2 + 1). Suppose -5*a - 2 = -3*k - 3, 0 = -4*k - 2*a + 16. What is the remainder when c + k + 2/(-2) is divided by 14?
12
Let r = 14 + 6. Let a(d) = d - 3. What is the remainder when 66 is divided by a(r)?
15
Let q = -306 + 743. Calculate the remainder when q is divided by 49.
45
Let n be 582/24 + (-21)/(-12) + -2. Suppose -6*g + n + 0 = 0. Let q(m) = m**2 + 4*m - 2. What is the remainder when q(-6) is divided by g?
2
What is the remainder when ((-4)/(-14))/(15/315) is divided by 14/8 + (-2)/(-8)?
0
Suppose c - 58 = -u, 5*c + u = 3*u + 318. What is the remainder when 238 is divided by c?
52
Suppose -2*h - 3*p = -h + 3, -4 = 2*h + 5*p. Suppose -2*q + 4 = 2. Let i(l) = 10*l**2 + 1. Calculate the remainder when i(q) is divided by h.
2
Suppose m = 2*o - 6, 0*m + 2*m = -5*o + 33. Calculate the remainder when 6/(-15)*(-2375)/50 is divided by m.
3
Let i be (2 - (-76)/(-6))*9/(-3). Let z = i - 18. Calculate the remainder when 39 is divided by z.
11
What is the remainder when 611 is divided by 894/2*(-111)/(-333)?
15
Let f(s) = s**2 + 4*s - 22. Calculate the remainder when f(-12) is divided by 17.
6
Suppose -2*a + 3*g + 16 = 0, 5*g = -a - 3*a + 32. Suppose -2*x = -12 - a. What is the remainder when 14 is divided by x?
4
Suppose u - 21 = 330. What is the remainder when u is divided by 44?
43
Suppose 2*g + 4*z - 4 = 0, 4*g - 48 = z - 4. Let u = -68 + 106. What is the remainder when u is divided by g?
8
Suppose -54*r + 51*r = 5*x - 40, -5*r = -x + 36. Calculate the remainder when 62 is divided by x.
7
Suppose 5*k - 10*k = -5*c - 530, -2*k = -c - 213. Calculate the remainder when k is divided by 11.
8
Let w = -12 - -21. Let f(l) = -l + 18. Let t be f(w). Suppose 14*x - 220 = t*x. Calculate the remainder when x is divided by 9.
8
Let t be (-4)/(-12)*3 - 3. What is the remainder when 13 is divided by (1 - -6) + (7 + -6)*t?
3
Suppose 0 = -7*w + 501 + 395. What is the remainder when w is divided by 34?
26
Suppose 0*v - 2*n = -2*v + 44, 4*n + 20 = 0. Calculate the remainder when 59 is divided by v.
8
Let f(g) = 4*g. Let p be f(11). Let m = 24 + -12. What is the remainder when p - (-3 + 0 + 2) is divided by m?
9
Suppose -5*g - 254 + 789 = 0. Let z(f) = f**2 - 6*f. Calculate the remainder when g is divided by z(-3).
26
Let b = 154 + -140. Let r(n) = n**3 - n**2 + 3*n + 10. What is the remainder when r(5) is divided by b?
13
Suppose -3*z = 2*p - 454, -39 = 5*p - 19. Calculate the remainder when z is divided by 78.
76
Suppose -4*n - 1 = 3*x - 13, -n + 3*x + 18 = 0. Suppose -n*s = -54 - 30. What is the remainder when 37 is divided by s?
9
Suppose -6 = 3*i - 21. Suppose -k - 4 - 3 = -v, i*k = -3*v - 11. What is the remainder when (-1)/2*(-13 - 9) is divided by v?
2
Let h = 14 - -27. Let r = h + -5. Calculate the remainder when 7 is divided by (-1)/4 - (-81)/r.
1
Let s(u) be the second derivative of 1/6*u**3 + 2*u - 5/12*u**4 + 0 - 1/10*u**5 - 1/2*u**2. What is the remainder when 13 is divided by s(-3)?
3
Suppose -8*q + 303 = 4*c - 3*q, c - 87 = -5*q. Calculate the remainder when 355 is divided by c.
67
Let n = -19 - -57. Let j = n - 15. Let a(d) = d**2 - 7*d - 17. Calculate the remainder when a(-5) is divided by j.
20
Let n = 98 + -90. Suppose n = s + 5*l - 32, 3*l - 84 = -3*s. Calculate the remainder when 71 is divided by s.
21
Let q = -73 - -70. Suppose 330 = 5*j - 0*n - 3*n, 0 = -j - n + 66. What is the remainder when j is divided by (-665)/(-40) + q/(-8)?
15
Suppose -6*c + 30 = -3*c. Let w be ((-9)/(-6))/(5/c). Suppose 0*j + w*j - 60 = 0. What is the remainder when 99 is divided by j?
19
Suppose 28*w - 1647 = 1601. Calculate the remainder when w is divided by 13.
12
Let a be 0*1*(0 + -1). Suppose -4*f + 24 + 4 = a. Suppose f*w = 4*w + 75. Calculate the remainder when 99 is divided by w.
24
Calculate the remainder when ((-1148)/24 + -11)*-6 is divided by 42.
17
Let f(h) = 2*h + h - 8*h + h. What is the remainder when f(-1) is divided by (1 - -1) + (-1 - -2)?
1
Suppose q + 4 = 0, -28 + 556 = 5*u + 3*q. What is the remainder when 638 is divided by u?
98
Let p = -23 - -73. Suppose 102 = -k + 4*k. Calculate the remainder when k is divided by (90/p)/(2/10).
7
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