k + 125, -4*c + k + 129 = d. What is the remainder when 95 is divided by c?
31
Let d = 4 - -1. Suppose d*g = -5*x + 80, -2*x - 4*g = -0*x - 28. What is the remainder when (-1197)/x*(-4)/7 is divided by 13?
12
Suppose -f - 3 = 5*o, 0 = 4*f + 4*o + 14 - 34. Suppose 49 = 6*x + f. Calculate the remainder when 29 is divided by x.
1
Let q = 2458 + -2118. Calculate the remainder when q is divided by 7.
4
Suppose 32*k = -8*k + 440. What is the remainder when 28 is divided by k?
6
Suppose -4*g + 2*s = 22 - 134, -4*s - 137 = -5*g. Let z = g - 14. What is the remainder when z is divided by 8?
7
Suppose h - 4*v = -2*h - 4, -h = 3*v - 16. Calculate the remainder when h is divided by ((-45)/20)/(6/(-8)).
1
Suppose -5*z + 383 = 113. What is the remainder when z is divided by (0 - 57/12)/(4/(-16))?
16
Suppose 5*f - 4*t - 152 = 0, 72 = 2*f + 13*t - 9*t. Calculate the remainder when 105 is divided by f.
9
Suppose 5 = -5*d - 5*n, -3*d - 5*n + 3 = 10. What is the remainder when 21 is divided by ((-1)/(-3))/((4/144)/d)?
9
Let a(p) = 2*p**3 + 15*p**2 - 3*p + 5. Let z be a(-7). Suppose 0 = 4*f - f - z. What is the remainder when f is divided by 4?
1
Suppose 36*o = 37*o. Suppose 3*u - 32 - 42 = -4*m, m - 4*u - 28 = o. Calculate the remainder when 54 is divided by m.
14
Let o(k) = -k**2 + 3*k - 2. Let h be o(1). Suppose -w - 3 = h, 3*g - 22 - 29 = -2*w. Calculate the remainder when 54 is divided by g.
16
Suppose 314 = -8*d + 9*d. Suppose 0*z - d = -5*w + 2*z, 2*w = z + 125. What is the remainder when w is divided by 21 + -1 + 1 + 1?
20
Suppose -3*u + 7 = -t, 40*t - 37*t = -4*u + 18. Calculate the remainder when 34 is divided by u.
1
Let m = -15 + 14. Let w = -6 - m. What is the remainder when 46 is divided by -2 + 1 + 18 + w?
10
Suppose 7 + 18 = 5*h, 0 = -2*l + 5*h - 29. Let n(y) = 17*y**2 - 2*y + 2. Calculate the remainder when n(l) is divided by 15.
14
Suppose 6*u - 2*u - r - 64 = 0, -2*u - 3*r = -18. Suppose 0*l + l + 3*h = -u, 5*h + 33 = -2*l. Let g = -10 - l. What is the remainder when 24 is divided by g?
10
Suppose 3*x + 301 = 5*o - 169, 0 = 3*x - 15. Suppose -z + 2*r + 29 = 0, -7*z + 2*z + o = 2*r. Calculate the remainder when 62 is divided by z.
20
Suppose 0 = 2*z + s + 7 - 60, -4*z - 5*s = -103. Let r(q) = -10*q + 3. What is the remainder when r(-5) is divided by z?
26
Let y = 1 + 9. Suppose -570 = 3*i + 2*f, 0*i - 4*i - 774 = -2*f. What is the remainder when 11/(-55) - i/y is divided by 10?
9
Let d(t) = -3*t + 14. What is the remainder when 231 is divided by d(-5)?
28
Let g = 25 - 1. Suppose 15*h - 625 = 20. Calculate the remainder when h is divided by g.
19
Suppose 0 = 4*j - 3*u - 21, -2*u - 3 - 3 = 0. Let z(o) = 4*o**3 - o + 1. What is the remainder when z(1) is divided by j?
1
Suppose 7*s - 44 = 3*s. Suppose 0 = 4*o - 1 - 7. Suppose -5*y + o*c + 158 = 0, -2*c - 1 = -3. Calculate the remainder when y is divided by s.
10
Let q = 43 + -30. Let w(y) = -37*y + 4. Calculate the remainder when q is divided by w(0).
1
Suppose 2*x + 4 - 188 = 0. Calculate the remainder when x is divided by 16.
12
Let v(a) = -18*a - 14. Let c be v(-4). Suppose i + c = 3*i - 2*u, 0 = -5*u - 20. Calculate the remainder when 49 is divided by i.
24
Suppose 2*f + 4*q - 5 + 17 = 0, 0 = q + 5. Calculate the remainder when (0 - 14/8)/((-21)/84) is divided by f.
3
Let d = 31 + -55. Let o = d - -47. Suppose 0*b - 40 = -5*b. What is the remainder when o is divided by b?
7
Let z(s) = s**3 - 10*s**2 + 18*s - 5. Calculate the remainder when 72 is divided by z(8).
6
Calculate the remainder when ((-60)/90)/((-6)/2943) is divided by 66.
63
Let i = 327 - 193. Suppose -g + 41 = -3*c, -4*g = 5*c - 2*c - i. Calculate the remainder when 138 is divided by g.
33
Suppose -12 = -0*l + 4*l - 2*f, -3*f - 10 = l. Let s(m) = -19*m + 11. What is the remainder when s(l) is divided by 8?
7
Let h(k) = k - 2. Let r be h(9). Suppose -14 = 3*v - 4*m, r*m - 27 = -v + 2*m. Suppose b = -v*b + 102. What is the remainder when b is divided by 12?
10
Let p(t) = t**2 - 11*t + 18. Let q be p(6). Suppose -6*u + 42 = -3*u. Calculate the remainder when 378/q*(-12)/7 is divided by u.
12
Suppose 4*m - 41 = 63. Let s be m - (-2 + 0 + 2). Suppose 0 = 2*h, 0*v + 5*h = -v + s. What is the remainder when 103 is divided by v?
25
Let o(g) = 2*g**2 + 20*g + 13. Let h be o(-9). Let v = 14 + h. What is the remainder when 44 is divided by v?
8
Let q be 83/((3 - 3/6) + -2). Let o = q - 98. What is the remainder when o is divided by 23?
22
Suppose d = 5*d - 280. Calculate the remainder when d is divided by 20.
10
What is the remainder when (-176)/(-4) + 3 + (4 - 3) is divided by 42?
6
Suppose -g = -3*q - 165, -4*q = -2*g + 3*g - 137. What is the remainder when g is divided by 32 - (-1)/(-2)*2?
29
Let g(f) = f**3 - 4*f**2 + 4*f - 3. Let l be g(3). Suppose -58 = -5*j - 2*k, 5*j = -4*k - l + 66. What is the remainder when 48 is divided by j?
8
Let d = -191 + 216. Suppose -k - 7 = -21. Calculate the remainder when d is divided by k.
11
Suppose 0 = -p - 97 - 38. Calculate the remainder when (p/105 - (-2)/7) + 28 is divided by 11.
5
Let a(x) = -10*x - 135. What is the remainder when a(-18) is divided by 8?
5
Let v = 60 + -53. Suppose 5*h = v + 23. Calculate the remainder when 14 is divided by h.
2
Suppose o - 33 = -24. Calculate the remainder when 23 is divided by o.
5
What is the remainder when 47 is divided by (22/(-5) - -2)*(-120)/36?
7
Suppose -5*f + 49 - 179 = 0. Calculate the remainder when 7 is divided by 17/(-68) + f/(-8).
1
Let m(f) = f**3 + 12*f**2 - 4*f - 32. What is the remainder when 1327 is divided by m(-11)?
130
Let t be (4 + -2)/(-2) + (11 - 22). Calculate the remainder when 5 is divided by (-2)/t + 368/96.
1
What is the remainder when (-144848)/(-396) - (-2)/9 is divided by 94?
84
Suppose 0 = r - 4, r - 9 + 0 = -n. Suppose 0*k = -k + 2*w + n, 0 = -3*k - 5*w + 26. Calculate the remainder when k is divided by 2.
1
Let d(k) = 4*k**2 - 6*k - 3. Let t(p) = 2*p + 1. Let w be t(1). Calculate the remainder when 27 is divided by d(w).
12
What is the remainder when 175/(-105)*(1 - 292) is divided by 8?
5
Suppose 0 = 5*o - 0*o. Suppose 12*m - 8*m - 160 = o. Calculate the remainder when m is divided by 21.
19
Calculate the remainder when 4/22 + (-10110)/(-55) is divided by ((-37)/4)/((-20)/80).
36
Let i(l) = -l**2 - 65*l - 113. Let m be 0/(-2) - 0/(-2). Suppose -y + 4*y = 3*p + 144, m = -y + 5*p + 44. What is the remainder when y is divided by i(-63)?
10
Let r(c) = c**2 + 11*c - 4. Let a be (-2 - -1) + (4 - 15). What is the remainder when 23 is divided by r(a)?
7
Let r be (-1)/(-5) + 8/10. Calculate the remainder when 1 is divided by (-1)/(r/(-2)*2).
0
Let r be 2 - 1 - (4 - (2 + 1)). Suppose -5*z + k + 55 = 0, 2*z + 3*k - 46 + 7 = r. What is the remainder when 40 is divided by z?
4
Let z = 108 - -12. Let v = 93 - 52. What is the remainder when z is divided by v?
38
Suppose 0 = -3*j - 31*a + 27*a + 13, -1 = -j - 3*a. Calculate the remainder when 128 is divided by j.
2
Suppose -7*s + 1310 = 57. What is the remainder when s is divided by 48?
35
Let o(w) = 3*w + 134. What is the remainder when 100 is divided by o(-29)?
6
Suppose -3*i - 9*m + 282 = -6*m, 2*i - 5*m - 216 = 0. Calculate the remainder when i is divided by 11.
10
Suppose 4*z + 6 = 14. Suppose 5*a + x - 182 = 0, 5*a + 70 - 246 = z*x. Let i(n) = n**2 - 3*n - 9. Calculate the remainder when a is divided by i(7).
17
What is the remainder when (-8 - 133/(-21)) + (-424)/(-6) is divided by (-6)/(2/(-6)*1)?
15
Suppose -b + 4*b - 18 = 0. Calculate the remainder when 6*5 - (-49 - -68) is divided by b.
5
Suppose 2*m + 4*l - 32 = 0, -16 = -3*m - 2*l + 24. Let s = 51 + 30. What is the remainder when s is divided by m?
9
Let s(p) = 47*p**2 - 5*p + 4. Suppose 8*b - 20 = -4. Calculate the remainder when s(b) is divided by 46.
44
Let p = 872 + -691. What is the remainder when p is divided by 17?
11
Let a be -108*(-3)/12*-2. Suppose 0*z + 50 = -q - 5*z, 3*z - 110 = 5*q. Let k = q - a. What is the remainder when k is divided by 10?
9
Let v(k) = 91*k**2 + 4*k - 19. Calculate the remainder when v(-4) is divided by 18.
17
Suppose 0*a - 3*a = 2*c - 39, 0 = c - 4*a - 36. Let l(t) = 23*t. What is the remainder when l(4) is divided by c?
20
Let v(t) = -2*t + 44. Calculate the remainder when 138 is divided by