 17. Calculate the remainder when m is divided by 8.
4
Let q = -25 + 33. Suppose 0 = q*y - 5*y - 15. Suppose -y*o + 10 + 60 = 0. Calculate the remainder when 52 is divided by o.
10
Suppose 11*n - 1810 - 269 = 0. Suppose 0 = j - 12 - 4. What is the remainder when n is divided by j?
13
Let q(d) = -d**3 - d**2 + 2*d - 3. Calculate the remainder when q(-4) is divided by ((-60)/48)/(0 - (-1)/(-16)).
17
Let q(h) = 8*h**2 - 40*h + 76. Suppose 2*t - 60 = -2*t. Suppose 0 = 2*s - 2*x - 2*x - 50, 3*x = -t. Calculate the remainder when q(2) is divided by s.
13
Let b(v) = -2*v**2 + 2*v + 30. Suppose -5*a = -52 - 88. Suppose -64 = -4*d + a. What is the remainder when d is divided by b(4)?
5
Suppose -5*c + 582 = -5*t + t, -3*c + 351 = -3*t. Suppose 4*l + 14 = c. Calculate the remainder when l is divided by 7.
4
Suppose 4*t - 15 = 8*g - 7*g, 4*g = 4. What is the remainder when (-2)/(-7) - (-108)/14 is divided by t?
0
Let q = -120 - -166. Calculate the remainder when 114 is divided by q.
22
Suppose -5*h - 9 = 2*b, b + 0*h + 2 = -3*h. Let q = 4 - b. Suppose 3*y - 48 = -3*s, 2*s = y + 4*s - q. Calculate the remainder when 19 is divided by y.
8
Let q(o) = 4*o - 4. Let p(v) = v**2 - 3*v - 5. Let l be p(-2). Suppose 4*t + l*w = 7 + 27, 2*w = 4. Calculate the remainder when q(5) is divided by t.
4
Let d(n) = n**3 + 23*n**2 - 23*n + 26. Let l be d(-24). Suppose -58 = -v - 5*z, v - l*z - 116 = -v. Calculate the remainder when v is divided by 15.
13
Suppose -f = 4*l - 0*f - 80, 4*l - 4*f = 60. Calculate the remainder when (5/(-10))/((-4)/752) is divided by l.
18
Let t = 515 + -223. Suppose 5*k = -4*l + 252, 0*k - 5*k - t = -4*l. Suppose l = 4*p + m, -p - 3*m + 6 = -0. Calculate the remainder when 52 is divided by p.
16
Let r(x) = 8*x - 17. Let u be r(-5). Let o = u - -85. Suppose -5*p + o = 3. What is the remainder when p is divided by 2?
1
Suppose -5*a = 5*t - 115, 5*a = 3*t + 6 - 83. Suppose 2*y = 5*d + t, -5*y + 27 = -0*d + 4*d. Calculate the remainder when 11 is divided by y.
4
Suppose -37*d = 205 - 353. What is the remainder when 437 is divided by d?
1
Let h = -168 + 89. Let v = -430 + 261. Let x = h - v. What is the remainder when x is divided by 31?
28
Suppose 2*o + 5 = -13. Let k be (8/(-10))/(o/90). Let n = 13 - k. What is the remainder when 7 is divided by n?
2
Let w = -72 + 204. Calculate the remainder when w is divided by 19.
18
Suppose -3*s + 4*r = -100, -s + r + 40 = 5. Let f = 237 - 78. Calculate the remainder when f is divided by s.
39
Let h(b) = -19*b + 32. Calculate the remainder when 244 is divided by h(-5).
117
Let z = 2440 - 2354. Calculate the remainder when 169 is divided by z.
83
Let c be (0 + (-4)/3)/((-6)/(-18)). What is the remainder when 2 is divided by (-3)/c - (-2)/(3 - -5)?
0
Let x(d) = -2*d + 7. Let m be x(7). Let p = 44 - m. Suppose -3*b - p = -8*b - 2*u, 4*b - 54 = 5*u. Calculate the remainder when 41 is divided by b.
8
Suppose 10*c = -a + 5*c - 11, -2*a = -2*c - 14. Suppose 7*g + 5*v = 2*g + 10, 0 = 2*g + a*v - 6. Calculate the remainder when 2 - (16/24 - 2/3) is divided by g.
0
Let d(x) = 7*x**2 - x**3 + 11*x + 1 - 8*x + x. What is the remainder when d(3) is divided by 26?
23
Let c(g) = -5*g**3 + g**2 - 4*g - 1. Let s = 85 + -67. Calculate the remainder when c(-2) is divided by s.
15
Let g = -6 - -10. Suppose 3 - 19 = 4*d, 0 = -2*q - 2*d + 20. Calculate the remainder when q is divided by g.
2
Let u(o) = -6*o**3 - 5*o**2 - 2*o. Calculate the remainder when 59 is divided by u(-2).
27
Suppose -4 + 14 = 2*g. Let a(d) = d**2 - 5*d - 7. Let c be a(6). What is the remainder when 4 + c - (-20)/2 is divided by g?
3
Suppose -3*d = 2*d - 885. Calculate the remainder when d is divided by 30.
27
Let p(r) = r**3 + r**2 - 1. Let m(n) be the first derivative of n**4/4 - 11*n**3/3 + n**2/2 + 10*n + 10. Calculate the remainder when m(11) is divided by p(2).
10
Let o = 153 + -137. Let r(w) = 2*w**3 - 6*w**2 + 3*w - 6. What is the remainder when r(4) is divided by o?
6
Let k(o) = -o**2 - 4*o + 1. What is the remainder when (-5662)/(-149) - -14*1/(-2) is divided by k(-3)?
3
Let x(n) = -16*n - 27 + n**3 + 26 + 13*n**2 + 0*n**3. Suppose -3*h - l + 225 = -4*l, 6 = 3*l. What is the remainder when h is divided by x(-14)?
23
Let i = 24 - -43. Suppose 2*q = -q + 87. Suppose -q - 39 = -4*y. What is the remainder when i is divided by y?
16
Let b(o) = o**2 + 9*o + 37. What is the remainder when 965 is divided by b(-6)?
15
Let g be 4/(-8)*-10 + 0. Suppose 2*z - 3*m = 3*z - 36, -g*z = -3*m - 144. Suppose 11*q = 8*q + z. Calculate the remainder when 39 is divided by q.
9
Suppose 391 = 33*o - 16*o. Calculate the remainder when 159 is divided by o.
21
Let c(t) be the second derivative of -13/2*t**2 + 2*t**3 - 1/12*t**4 + 3*t + 0. Calculate the remainder when 40 is divided by c(10).
5
Let y = 106 + -63. Let q be 382/20 - 8/80. Suppose -l + q = 10. Calculate the remainder when y is divided by l.
7
Let c = -230 + 278. Suppose 5*h - h = 2*u + 38, 0 = 3*u + 15. Suppose h*q - c = 3*q. What is the remainder when 22 is divided by q?
10
Let n = -97 - -115. Suppose -2*j + n - 2 = 0. Suppose a = -0*a + 31. Calculate the remainder when a is divided by j.
7
Let n be ((-18)/(-4))/((-5)/230). Let j = -61 - n. Calculate the remainder when j is divided by 37.
35
Suppose 4*q - a - 71 = -12, 4*q - 4*a - 56 = 0. Let g be (-3 - (-14)/6)*69. Let z = g + 75. What is the remainder when z is divided by q?
14
Suppose -39*b + 40*b - 2*c = 4, -5*c = -5*b + 25. Suppose -2*w + 75 = w + 3*n, -3*n - 5 = -w. What is the remainder when w is divided by b?
2
Let d(t) = 226*t**3 + t**2 + t - 2. Calculate the remainder when d(1) is divided by 58.
52
Let p = 84 + -88. Calculate the remainder when 30 is divided by (-2 + p)*(-4 - -3) - -1.
2
Suppose -4*c + 3*t - 9 + 103 = 0, 2*c - 42 = -t. Let m(p) = -p**3 - 9*p**2 + 7*p - 57. Calculate the remainder when m(-11) is divided by c.
20
Let h be (-4)/(-10) + ((-144)/(-10))/4. Let u = h - -6. What is the remainder when 57 is divided by u?
7
Let n(s) = s**3 - 34*s**2 - 3*s + 121. What is the remainder when 222 is divided by n(0)?
101
Let h(p) = 18*p + 26. Let y be h(12). Suppose -3*a + 180 = 3*z, 4*a - 9*z = -14*z + y. What is the remainder when a is divided by 15/(-4)*-8*1?
28
Let v(c) = -c + 2. Let h be v(-2). Suppose 0 = 5*o + 3*s - 420, 2*o = 4*s + 164 + h. Let q = -2039 - -2061. Calculate the remainder when o is divided by q.
18
Let a(z) = z**2 - 7*z + 13. Let c(v) = -2*v**3 + 12*v**2 - 6*v - 3. Let h be c(5). Calculate the remainder when a(h) is divided by 31.
28
Suppose -3*m + 9 = -3*b, -3*m - 5*b = -4 + 11. Suppose 3*v - 2*n = -5, 3*v + 5*n - 15 = 2*n. What is the remainder when v is divided by m?
0
Let d(s) = -26*s + 1028. Calculate the remainder when 124 is divided by d(39).
12
Let m(k) = 14*k - 2. What is the remainder when ((8 - 15) + -170)*(-2)/6 is divided by m(1)?
11
Suppose 0*r = -3*r + 4*h + 5, 0 = -2*r - 2*h + 8. Suppose -r*j = -j - 122. Calculate the remainder when (-9)/27 + j/3 is divided by 12.
8
Let f(y) = 2*y**3 + 26*y**2 + 8*y - 28. What is the remainder when f(-12) is divided by 15?
14
Suppose 24 + 28 = 2*w. Suppose 32 = -2*p - w. Let u = p + 41. Calculate the remainder when 34 is divided by u.
10
Suppose -5*r + 2*i - i + 12 = 0, 4*i - 12 = 0. Suppose -4*l = -r*l - 13. Suppose q - 1 = l. Calculate the remainder when 81 is divided by q.
11
Calculate the remainder when (8/(-14))/(206/(-38213)) is divided by 92.
14
Let p = 499 + -480. Calculate the remainder when 46 is divided by p.
8
Suppose -5*w + 5*t - 8 - 277 = 0, 4*w + 218 = -t. Let d = 58 + w. What is the remainder when 7 is divided by d?
1
Suppose -3*u - 3*o = -12, 11 = 4*u - 2*o + o. Suppose -u*c + 3 = -12. Let a(b) = -b**2 - 4*b + 2. What is the remainder when c is divided by a(-4)?
1
Let i = -15 - -28. Let b(t) = -t**2 - 13*t - 40. Let m be b(-6). Suppose -2*x + 31 = m*y + y, 51 = 2*x - y. What is the remainder when x is divided by i?
10
Suppose -5*s + 1298 + 127 = 3*g, -4*g = 4*s - 1140. Calculate the remainder when s is divided by 17.
13
Let x be (2 - 1)/((-16)/(-208)). Suppose 4*s + x = 5*s + 4*v, 0 = 3*v. Calculate the remainder when 51 is divided by s.
12
Suppose 5*n - 8*n = -33. Suppose -3*r + 7 = -n. Suppose -r*f + 34 = 4. What is the remainder when 13 is divided by f?
3
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