 2469 + -873. What is the remainder when f is divided by 41?
38
Let h be 6/((-2)/2 + 4). Suppose 3*l = 5*b + 52, h*l - 2*b - 27 = 1. Let w = -7 + l. What is the remainder when 4 is divided by w?
0
Let p = -12 + 18. Let r = 32 - p. What is the remainder when 126 is divided by r?
22
Suppose 0*d - 5*d = -120. Suppose 5*y = -3*q + 283, 23*q - 319 = 19*q + 5*y. What is the remainder when q is divided by d?
14
Suppose -13 = -3*w - 2*w - 2*a, -5*a - 8 = -w. Suppose 2*z - 89 = 3*f, 0 = 3*f - 0 + w. Calculate the remainder when z is divided by 9.
7
Let o = 11 - -2. Let u(f) = 48*f**3 + 3*f**2 - 6*f + 4. What is the remainder when u(1) is divided by o?
10
Let i(z) = -7*z + 173. What is the remainder when 51 is divided by i(22)?
13
Let i = 184 + -157. Let w(a) = a**2 - a - 5. Calculate the remainder when i is divided by w(-4).
12
Calculate the remainder when 12/(-21) - (7 - 1945/35) is divided by 18.
12
Let f be 15/(-30) - 110/(-4). Suppose 38 + f = -t. Let w = t - -91. Calculate the remainder when w is divided by 7.
5
Suppose 2*f + 995 = -4*g + 2731, -3*g + 4*f = -1324. What is the remainder when g is divided by 49?
44
Let g = -8 - -97. Let i = -897 + 915. Calculate the remainder when g is divided by i.
17
Let r = -484 - -551. Let s = 46 + -29. What is the remainder when r is divided by s?
16
Let z(f) = -f**3 + 20*f**2 - 2*f + 110. What is the remainder when 506 is divided by z(20)?
16
Let i = 160 + -131. What is the remainder when 280 is divided by i?
19
Suppose 4*m - 406 = 3*u, u + u = 3*m - 305. What is the remainder when m is divided by 61?
42
Suppose -72 = -3*g + 3*a, 5*g + 49 - 141 = -2*a. Let c = 1736 + -1679. Calculate the remainder when c is divided by g.
17
Suppose 5*y - 5*v - 8 = 7, -5*v - 11 = -3*y. Let n(r) = r**3 - 10*r**2 + r + 8. Calculate the remainder when 50 - (-2)/(2/y) is divided by n(10).
16
Let w be (0 - -2)*(-4)/(56/(-455)). Let h = w - 47. Calculate the remainder when 34 is divided by h.
16
Let s = -2 + 4. Let z be (4 - 10)*s/(-12). Calculate the remainder when 128 + (-4 - z) + 2 is divided by 42.
41
Calculate the remainder when 2/5 + (-29)/(2030/(-7392)) is divided by 50/2 + (-4)/(-2).
25
Let p = -145 + 289. Calculate the remainder when p is divided by 43.
15
Calculate the remainder when (47 + -49)*(-269)/2 is divided by 69.
62
Let m = 29 + -26. Suppose 4*p = m*p + 22. Calculate the remainder when 64 is divided by p.
20
What is the remainder when -67*6*(-1 + 2/3) is divided by 27?
26
Suppose -2*a + o = -416, 2*a - 2*o + 154 = 566. Suppose -6*q = -q - a. Calculate the remainder when q*(-4)/28*-6 is divided by 19.
17
Let f(u) = -u**2 + 7*u - 7. Suppose -j - 2 = l - 1, -j - 2*l - 4 = 0. Calculate the remainder when f(j) is divided by 1.
0
Suppose 0*x - x = -3. Let n(b) = 8*b + 88. Let u be n(-10). Suppose -x*k + u*k - 220 = 0. Calculate the remainder when k is divided by 23.
21
Suppose 4*d = 25 - 5. Suppose -p - 9 = -13. What is the remainder when d is divided by p?
1
Suppose -5*u = -3*l - 2*l - 100, 3*l = 5*u - 110. What is the remainder when 83 is divided by u?
8
Let p be 1 - (-1 - -3) - -3. Suppose 17 + 5 = p*y. Suppose -2*s + 32 = 3*r + y, 5 = r. What is the remainder when s is divided by 3?
0
Suppose -28*z = -57*z + 1247. Suppose -4*s = 5*r - 59 - 19, 5*s - 116 = 3*r. What is the remainder when z is divided by s?
21
Let r(n) = -n**3 - 3*n**2 - 2*n + 3. Suppose -2*j - 5*m = -0*j + 38, 54 = -4*j + m. Let g = 11 + j. Calculate the remainder when 24 is divided by r(g).
6
Suppose 5*d - 77 = 53. Calculate the remainder when d/6*(20 + 7) is divided by 17.
15
Suppose -5 = 9*l - 8*l, 5*h - l = 2615. What is the remainder when h is divided by 75?
72
Suppose 15*s + 120 = 18*s. What is the remainder when 40 is divided by s?
0
Let u(y) = y**3 + y**2 - 21*y + 42. Calculate the remainder when 1300 is divided by u(5).
82
Let k(f) = f**3 + 11*f**2 - 19*f - 22. Calculate the remainder when k(-9) is divided by 76.
7
Let x(h) = 3*h + 1. Let i(f) = -f**2 - 6*f - 6. Let l be i(-7). Let b = l + 15. What is the remainder when x(b) is divided by 6?
1
Let x = -26 + 29. Calculate the remainder when 67 is divided by (-3*28/x)/(-2).
11
Suppose 4*o - 2 = 22. Let c(y) = 14*y - 15. Calculate the remainder when c(o) is divided by 36.
33
Let s be 27*(0 + 6/(-10))*-10. Suppose -s = -5*t - 4*t. Calculate the remainder when 66 is divided by t.
12
Suppose 2*m - 2742 = -2484. What is the remainder when 506 is divided by m?
119
Let q(h) = -h**3 - 7*h**2 - 6*h + 1. Let x be q(-6). Let k(w) = 8*w + 1. Calculate the remainder when 24 is divided by k(x).
6
Suppose 505 = 8*a - 143. Suppose 0 = -l + 4*k + 43, -3*l + a = k + 3*k. Calculate the remainder when l is divided by (4 - 2) + 0 + 15.
14
What is the remainder when 81/((-6)/(-14) - (-16)/28) is divided by 63?
18
Suppose -4*h = -4*r - 2*h - 590, 4*h = 4*r + 580. Let n = -111 - r. What is the remainder when n is divided by 22?
17
Let w(p) be the third derivative of p**6/60 - 5*p**5/12 + p**4/12 + 6*p**2. What is the remainder when w(13) is divided by 33?
30
Let p(z) = z**2 - 6*z + 1. Let r = 7 - -4. Calculate the remainder when p(-4) is divided by r.
8
Let j(y) = 5*y + 51. Calculate the remainder when j(20) is divided by 79.
72
Suppose -66*n - 10*n = -10564. What is the remainder when n is divided by 1?
0
Calculate the remainder when 125 is divided by ((-10)/10)/((-1)/17) - 3.
13
Suppose 3*o = 4*y - 559, 119*y + 655 = 124*y + 5*o. Suppose -v - 2*h + 31 = 0, -v + 5*v - 4*h = 76. Calculate the remainder when y is divided by v.
21
Let m = 0 - -3. Suppose -2 = -d + m. Suppose -67 - 103 = -10*t. What is the remainder when t is divided by d?
2
Let o = -1483 - -1590. Calculate the remainder when o is divided by 4*(-1 + 10*1).
35
Calculate the remainder when 74 is divided by (324/(-48))/((-3)/12).
20
Suppose -2*o - q + 23 = 0, 7*q = -4*o + 3*q + 56. Let k be 1/(-4) - (-28)/(-16). Calculate the remainder when (-4)/(0 + k/8) is divided by o.
7
Suppose -105 = -2*g - g. Let z = -21 + g. Suppose -4*t + 4*d + 94 = 2*d, 4*t = 3*d + 89. Calculate the remainder when t is divided by z.
12
Suppose i + 8 = 3*x - 0*x, 4*i + 2 = 2*x. Suppose -4*h + x*h - 163 = -3*p, 3*h + 3 = 0. Suppose 30 = 6*l - p. Calculate the remainder when 39 is divided by l.
11
Let m = 74 - 116. Let w = -25 - m. What is the remainder when w is divided by 6?
5
Suppose 32 = 3*q + 4*t, 3*q - 12 = q - 5*t. Let w(v) = v**2 - 9*v - 30. What is the remainder when w(q) is divided by 12?
10
What is the remainder when 193 is divided by 2/6 - ((-808)/24 + -1)?
18
Let c = -17 + 17. Suppose c = 2*d - 2*f - 30, -d + 15 = -6*f + 2*f. Calculate the remainder when 3 is divided by ((-60)/d)/(4/(-3)).
0
Let y(s) = -s + 103. Let v be y(0). Let u = v + -64. What is the remainder when u is divided by 14?
11
Suppose 5*k + 1 = 2*m - 3, 5*k = 0. Suppose 0 = -3*x + m + 13. Suppose -5*b + 2*f = -77, 0 = b + 2*f - 13. Calculate the remainder when b is divided by x.
0
What is the remainder when 255 is divided by (-4698)/(-145) + (-9)/(-15) + -1?
31
Suppose -d - 4*b - 2 = 0, d + 5 = 2*b + 3. Let w = 6 - d. What is the remainder when 74/(-2)*(-2)/2 is divided by w?
5
What is the remainder when 93 is divided by 118/6 - 28/42?
17
Suppose u = -3*d + 2*d + 15, d = -2*u + 33. Suppose 0 = -4*k + 4, -4*t = -6*t - 4*k + 16. What is the remainder when u is divided by t?
0
Let z(i) be the third derivative of 1/30*i**5 + 4/3*i**3 + 0*i - 7/24*i**4 - 6*i**2 + 0. What is the remainder when 43 is divided by z(5)?
20
Let b be (-515)/(-5) + 1 + 1 + 0. Suppose -2*t + 2*y - y = -b, -3*y = 2*t - 85. What is the remainder when t is divided by 13?
11
Suppose 4*b - 9*b + 730 = 0. Let w(x) = 18*x + 1. Calculate the remainder when b is divided by w(2).
35
Let k be (4/5)/(4/(-200)*2). Let v(f) = -f**3 - 19*f**2 + 21*f + 35. What is the remainder when 163 is divided by v(k)?
13
Suppose -5*b + 120 = 3*f, 78 = 3*b - 4*f + 6. Let g(l) = l**3 - 3*l**2 - 4. Let w be g(3). What is the remainder when -5 + (w + 3 - -76) is divided by b?
22
Let c = 2261 + -1965. Calculate the remainder when 306 is divided by c.
10
Let n(h) = -3*h**3 - 7*h**2 - 2*h + 7. Let a be n(-7). Suppose 5*t = a + 38. Calculate the remainder when t is divided by 38.
35
Let q = -33 - -5. Let i = q - -45. Calculate the remainder when i is divided by 6.
5
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