0 = t - 14 + 6. Suppose 0 = -2*f + 8, -5*q - 3*f + 164 = -q. What is the remainder when q is divided by t?
6
Let f be (8/10)/(10/25). Suppose 0 = f*b + 4, 370 = 4*t + b. Suppose -d = -i - 32, 2*d - 5*i - 59 = 5. What is the remainder when t is divided by d?
29
Suppose 118 = k + 74. Calculate the remainder when 127 is divided by k.
39
Let w(x) = x**3 - 22*x**2 + 39*x + 23. Let s be w(20). Suppose -v = 2*u, 9*u - 4 = -s*v + 4*u. What is the remainder when 26 is divided by v?
2
Let v(x) = x**2 - 5*x - 2. Let a be v(-10). Suppose a = 3*d - g - 1, 3*g = -2*d + 114. What is the remainder when d is divided by 19?
13
Suppose -2*b = 13*x - 17*x - 48, 2*x - 64 = -3*b. Calculate the remainder when 761 is divided by b.
13
Let l = -1304 - -1321. Let z = -37 + 87. Calculate the remainder when z is divided by l.
16
Let x = 1593 - 1546. Calculate the remainder when x is divided by 10.
7
Suppose 2*r - 4*d = 74, -2*r + 7 = 2*d - 73. Let y = -28 + 40. Calculate the remainder when 2/((y/r)/2) is divided by 8.
5
Suppose -5*b - 3*b = -80. Let n(u) = -6*u - 5. What is the remainder when n(-5) is divided by b?
5
Suppose 3*y - 93 = -2*x, -4*x + 7*x = -9. What is the remainder when 164 is divided by y?
32
Suppose -4*a + 22 + 154 = 0. Let l = a - 14. Suppose -5*i + 37 = -5*s + 12, -4*i = s - l. What is the remainder when 14 is divided by i?
0
Let r = 25 + -24. Suppose -2*p + r = -p. Let i = 1 + 0. What is the remainder when i is divided by p?
0
Suppose 13*g - 387 = 3. What is the remainder when 87 is divided by g?
27
Let r = 193 + -140. What is the remainder when r is divided by 5?
3
Let p = -11 - -142. Calculate the remainder when p is divided by 12.
11
Let d(r) = 91*r**2 - r. Let p be d(1). Suppose 2*i + 3*i - p = 0. Suppose -4*w = 4*k - 36, 0 = k + 3*w - 0*w - 7. What is the remainder when i is divided by k?
8
Suppose 167*x = 19*x + 3552. Calculate the remainder when (-1989)/(-21) + 4/14 is divided by x.
23
Let r be ((-291)/2 + 4)/(2/(-4)). What is the remainder when -4 + r/4 - 2/(-8) is divided by 24?
19
Let n = 19 + -8. Let z be (n - 2)*4/12. Suppose 3*o = -w - 1 + z, 4 = -w - 5*o. What is the remainder when 31 is divided by w?
9
Let p be ((-8)/(-2) - 2) + 24 + -28. Calculate the remainder when p/((-4)/66) + -4 is divided by 15.
14
Calculate the remainder when 118 is divided by (-3 + (-8 - -10))*-61.
57
Suppose 5*o + 80 = -3*c, 5*o - c - 3*c = -80. Calculate the remainder when (-15 - o)/((-1)/(-191)) is divided by 24.
23
Let h = -21 + 34. Suppose 0*s - i = -3*s + 13, 5*i - 30 = -4*s. Suppose 5*k - 50 + s = 0. What is the remainder when h is divided by k?
4
Suppose 0 = 3*o + 10 + 26. Let h(i) = -i**3 - 13*i**2 - 14*i - 14. Calculate the remainder when 37 is divided by h(o).
7
Let b(l) = l + 70. Calculate the remainder when 367 is divided by b(-62).
7
Let k(s) = s + 11. Let w be k(-3). Let d = w + 10. What is the remainder when 73 is divided by 22 + d/3 + -3?
23
Let i(k) = -40*k. Let d be 2014/(-30) - 4/(-30). Let n = 88 + d. Calculate the remainder when i(-1) is divided by n.
19
Let q = 10 - 6. Suppose 5*u - 16 = -x, 2*u + 0*x + 3*x = -q. Let d(j) = j**3 - 4*j**2 + 2*j - 2. Calculate the remainder when 8 is divided by d(u).
2
Suppose 0 = 6*k - 32 + 20. What is the remainder when (-6617)/(-65) + k/10 is divided by 0/(-1) + 38 + -3?
32
Let c be (-3 - (-4 - -2))*-4. Suppose 0 = -2*s - c*s + 96. What is the remainder when 45 is divided by s?
13
Suppose u + u = 52. What is the remainder when u is divided by (-3128)/(-221) + 2/(-13)?
12
Suppose 20 = -4*i, -g + 3*i + 42 = -40. Calculate the remainder when g is divided by 17.
16
Let x(v) = 4 - 6*v**2 - 5*v + 4*v**2 + 0*v**3 + v**3 - 12. Let f be x(5). Suppose -y + f = b, 2*b = -3 + 1. Calculate the remainder when y is divided by 11.
10
Let r = 18 + -13. Let x = 8 - 5. What is the remainder when 35 is divided by (-1 - r)*x/(-1)?
17
Let h = -27 - -40. Calculate the remainder when 1 + 0 + 8/1 is divided by ((-8)/(-6))/(h/39).
1
Let r = 109 + -60. Suppose -1 - 16 = -g. What is the remainder when r is divided by g?
15
Let g(p) = -4*p**2 - 5. Let m be g(-5). Let h be m/(-20) - 2/8. Suppose -h*j - 7 = -32. Calculate the remainder when 8 is divided by j.
3
Let v be (29 - 0) + -3 + 4. Suppose -r - v = -6*r. Suppose 0*h = 3*h + 3, 2*h + 86 = 4*o. Calculate the remainder when o is divided by r.
3
Let g = -3025 - -3076. Calculate the remainder when 135 is divided by g.
33
Let a = -45 + 78. Suppose -j - 26 = -0*n - 4*n, 5*n - a = j. What is the remainder when 19 is divided by n?
5
Suppose 140 = 11*f - f. Suppose j = -4*j + 15. Suppose -j*b = -0*b - 75. Calculate the remainder when b is divided by f.
11
Suppose -3*s + 2 = 5. Let n(m) = 69*m**3 - m**2 - m - 1. Let h be n(s). Let t = h + 101. Calculate the remainder when t is divided by 17.
14
Let q(y) = 93*y**3 + 3*y**2 - 8*y + 5. What is the remainder when q(1) is divided by 22?
5
Let d(j) = -j**3 + 5*j**2 + 7*j - 3. Let u be d(6). Suppose h + u*h + 16 = 0. Calculate the remainder when 1 is divided by h/(-3) + (-2)/6.
0
What is the remainder when (-129)/(-7) - (-1 + 20/14) is divided by (0 + (-3)/(-2))*2?
0
Suppose 0*s + 2*i - 6 = s, i + 4 = 4*s. Suppose 4*o - 2 = 3*o. What is the remainder when s is divided by o?
0
Suppose d = 2, -3*m + 4*m = -2*d + 27. Calculate the remainder when 129*((320/12)/5 - 5) is divided by m.
20
Suppose 3*g = -2*z + 67, 4*g - 4*z - 13 = 3*g. Let j(q) = 9*q + 3. Let p = 2 - -2. What is the remainder when j(p) is divided by g?
18
Let r = 11 - 5. Suppose 0 = -3*y + r, -35 - 4 = -5*f + 3*y. What is the remainder when 1441/33 - (-2)/(-3) is divided by f?
7
Suppose -4*d + 4 = -6*d, 5*z - 4*d - 213 = 0. Calculate the remainder when 284 is divided by z.
38
Let p(y) = y**3 - y + 8. Suppose -559*b + 15 = s - 558*b, -4*b = -20. Calculate the remainder when s is divided by p(0).
2
Let y be ((-1)/2)/(4/8). Let x = 4 - y. Suppose 52 = 4*j - q, 2*j - 5*q = 28 + 16. What is the remainder when j is divided by x?
2
Let y = 204 + -132. Suppose -2 = 4*r - 6, -2*r = 3*v - 101. Suppose 5*w - y = w - 4*n, -n + v = 2*w. Calculate the remainder when 27 is divided by w.
12
Let j(w) = 2*w - 1. Let t be j(2). Suppose 2*d - 6*d + 116 = t*s, 3*d = 3*s - 144. Suppose 9 = -5*o + s. Calculate the remainder when o is divided by 3.
1
Let y(a) = -a**2 - 14*a - 11. Let z be y(-8). Suppose -4*w + z = -3*w. What is the remainder when w is divided by 8?
5
Let p(a) = -2*a - 2. Let o be p(-8). Let y = 17 - o. What is the remainder when 6 is divided by (-1)/((y - 6)/9)?
0
Let n(g) = 166*g - 27. Calculate the remainder when n(4) is divided by 64.
61
Let i = 16 + 3. What is the remainder when ((-75)/4)/((-12)/48) is divided by i?
18
What is the remainder when 0/(-2) + (-62)/(-2) is divided by 8/26 + 35371/2119?
14
Calculate the remainder when 47 is divided by (-8 - (-145)/20)/(1/(-24)).
11
Suppose -f + 6*y = y - 61, 2*f - 122 = 2*y. Calculate the remainder when f is divided by 46.
15
Suppose -2*j = -7*j - 60. Let s be (28/42)/(2/(-27)). Let i = s - j. What is the remainder when i is divided by 1?
0
Let x be -1 + (0 - (0 - 1)). Suppose x*n + 99 = p - 4*n, -n - 84 = -p. What is the remainder when p is divided by 206/6 + (-8)/6 - (-12)/(-2)?
25
Let r = -344 - -382. Let d = -5 - -13. What is the remainder when r is divided by 2 + 1 + (d - 1)?
8
Suppose 2*y - 4*f = 16, -5*y + f + 70 = -3*f. Suppose 0 = y*z - 14*z - 120. What is the remainder when 118 is divided by z?
28
Let x(h) = h**2 - 2*h - 1. Suppose -5*s - 43 = -y - 15, -3*s - 5*y = 0. What is the remainder when 100 is divided by x(s)?
32
Let n = 182 + 338. Calculate the remainder when n is divided by 87.
85
Suppose 6*s - 1 - 23 = 0. Suppose 0 = -s*k + 5*t - 21, 1 = t - 4. Let c = 6 + k. What is the remainder when 18 is divided by c?
4
Let n(i) be the second derivative of 5*i**4/3 + i**2/2 + 6*i. What is the remainder when 61 is divided by n(-1)?
19
Suppose 0 = -3*p + u + 166, -u = -2*p + 2*u + 113. Calculate the remainder when p is divided by (-36 - 2)*(-6 - (-66)/12).
17
Suppose 0 = 3*c + c + 8. Let i(j) = -1 + 8*j**3 + 0*j**3 + 2*j - 23*j**3 + 4*j**3. Calculate the remainder when i(c) is divided by 21.
20
Let r(o) = o**3 + 10*o**2 - 5*o - 7. Let t be r(-10). Let z = -17 + t. Calculate the remainder when z is divided by 10.
6
Let r = 2967 - 2954. 