 the remainder when 160 is divided by v.
16
Let y(m) = m + 12. Suppose -o + 2*o = 13. What is the remainder when o is divided by y(-6)?
1
Suppose -3*u = -d - 15, 0*u - 2*u = -4*d. What is the remainder when 27 is divided by (-36)/(-16)*16/u?
3
Suppose -3*u + 6 = -5*u. Let a be (u/(-6))/((-2)/(-68)). Suppose -w + a = 3*l - 6, -5*l + 57 = 3*w. Calculate the remainder when w is divided by 5.
4
Suppose -5*d - 3*n + 25 = 0, -3*n + 20 = 4*d - 2*n. Suppose -2*x - 4*i + 9*i = -19, -d*x = -i - 82. Calculate the remainder when x is divided by 30/(-4)*4/(-6).
2
Let y(t) be the third derivative of 13*t**6/15 - t**5/60 + t**4/24 - t**3/6 + 16*t**2. What is the remainder when y(1) is divided by 15?
13
Let p(u) = -u - 11 + 2*u - 5*u. What is the remainder when 14 is divided by p(-5)?
5
Let d(f) = 6*f**2 + 3*f**3 - 4*f**3 - 3*f**3 - f - 2 + 5*f**3. Let o be d(-6). Calculate the remainder when 29 is divided by 5/o*(-1 + 9).
9
Let s(m) = 93*m + 26. Let f be s(8). Suppose -4*d + f = d. What is the remainder when d is divided by 31?
30
Suppose -3*m - 4 = 2*x + m, 2*m + 10 = x. Calculate the remainder when 1235/30 + 2/(-12) is divided by x.
1
Let j(m) = m**3 - 7*m**2 + 5*m - 3. Let i be j(7). Suppose -3*u = u + i. Let x = u + 12. Calculate the remainder when 14 is divided by x.
2
Suppose -98 = -2*w - 3*x - 26, 5*x - 10 = 0. Calculate the remainder when w is divided by 5 - (-12)/((-36)/(-39)).
15
Let k = -42 - -47. Let s = 68 + -54. Calculate the remainder when s is divided by k.
4
Let d = -2 - -6. Let n(a) = -d*a + 2*a + 3*a**2 - 2*a + 5*a. What is the remainder when n(3) is divided by 8?
6
Suppose -70 = -77*f + 72*f. Calculate the remainder when f is divided by 2.
0
Suppose -60 = -5*a + 60. Let h(m) = m**2 + 8*m + 11. Let t be h(-8). Suppose 8 = d - x, 0 = d + d - 3*x - t. What is the remainder when a is divided by d?
11
Suppose 2*j + 3 = 4*r - 5, j - 1 = r. Let o = 36 + -26. Suppose 0 = -3*z + 2*z + o. Calculate the remainder when z is divided by j.
4
Let s(v) = -v + 2. Suppose -4*w = 5*n - 19 - 41, -3*w + 24 = 2*n. Calculate the remainder when n is divided by s(0).
0
Suppose 1748*w = 1757*w - 1458. Calculate the remainder when w is divided by 78.
6
Let w(b) = b + 23. Let m be w(-20). Suppose 2 + m = h. What is the remainder when 8 is divided by h?
3
Let j = 810 - 782. Calculate the remainder when 249 is divided by j.
25
Let g = 1225 - 1018. Calculate the remainder when 623 is divided by g.
2
Let n(r) = -r - 1. Let x(b) = -b**2 - 2*b - 2. Let a(i) = 6*n(i) + x(i). Calculate the remainder when a(-6) is divided by 1/(11 + 256/(-24)).
1
Let i(f) = f**3 - f**2 + 22. Suppose 5*j - 4*l + 4 = 0, 2 + 3 = 5*l. Suppose j = 3*o - 0*o. What is the remainder when 42 is divided by i(o)?
20
Suppose 193 = 4*n - 7*n - l, -5*n + l = 311. Calculate the remainder when 83 is divided by (-56)/6*n/28.
20
Let r(g) = 22*g - 86. What is the remainder when r(9) is divided by 52?
8
Suppose 25 = 4*f - 175. What is the remainder when 98 is divided by f?
48
Let h = -34 - -49. Let x(u) = -15*u**2 + 196*u - 4. Calculate the remainder when h is divided by x(13).
6
Suppose 4*n - 3*n - 29 = 0. Let c = 34 + -24. What is the remainder when n is divided by c?
9
Let q be (3/(-9))/((-3)/27). Suppose q*g - 63 = f, 5*f + 35 = -0*g + g. Suppose -g = 4*a, x + 6 = -4*a - 3. What is the remainder when 32 is divided by x?
10
Suppose 4*m - 7 = 1. Suppose 16 = -0*w + m*w. What is the remainder when w is divided by -3*(8/4 + -3)?
2
Calculate the remainder when 111 is divided by (-8)/(-14 + 6) + 30.
18
Suppose 0*v - b - 20 = -3*v, 4*b = -v - 15. Suppose 5*c + 95 = v*x, 4*c = 10 + 10. Calculate the remainder when 92 is divided by x.
20
Suppose -h - 17*z = -14*z - 22, 3*h = -3*z + 84. Calculate the remainder when 133 is divided by h.
9
Let v(a) = a**2 - 6*a + 9. Let y be v(3). Suppose 2*r + 94 = 2*n + 6*r, y = 2*n - r - 69. Calculate the remainder when n is divided by 13.
11
Calculate the remainder when 161 is divided by (-202)/(-18) + (112/63)/(-8).
7
Suppose -5*l + 4 = 3*k - 5, 4*k = 2*l - 14. Suppose -l*b + 385 - 22 = 0. What is the remainder when b is divided by 14?
9
Let n(g) = g**3 + 13*g**2 + 13*g + 13. Let l be n(-12). Suppose 3*x - 2 - 1 = 0. What is the remainder when 21 is divided by 11*l/x*1?
10
Suppose -c - 31*o + 9 = -26*o, -3*c - 3*o = -39. What is the remainder when (11/(-4) - -2)*-72 is divided by c?
12
Suppose 2*y - 3 = -3*h, 0*y - 3*y - 4*h + 7 = 0. Let d = -333 + 358. Calculate the remainder when d is divided by y.
7
Suppose 984 = 43*l - 48. What is the remainder when 44 is divided by l?
20
Let a(k) = k + 6. What is the remainder when a(5) is divided by -3 - (-14)/(112/72)?
5
Let w(j) = 23*j**2 - 5*j + 4. What is the remainder when w(2) is divided by 24?
14
Let v = -205 - -269. What is the remainder when 69 is divided by v?
5
Suppose -4*p = p + 5*x - 150, -3*x = 4*p - 120. What is the remainder when 68 is divided by p?
8
Let o = 41 - 28. Suppose -3*u = 3*j + 6 - 0, -3*j + u - 2 = 0. Let v = j + 39. Calculate the remainder when v is divided by o.
12
Let m(i) = -4*i - 2. Let s = 13 - 19. Calculate the remainder when m(s) is divided by 7.
1
Suppose -31 = 9*j - 13. Suppose a + 82 = 3*a. What is the remainder when a is divided by ((-4)/8)/(j/56)?
13
Let o = -58 + 84. Suppose -c + 6 = 5*f - 22, -4*c = -3*f + o. What is the remainder when 0 - (3*-5 - 0) is divided by f?
3
Let u = 503 - 487. Let m(l) = l + 5. Let v be m(-5). What is the remainder when (-63 + v)*(-1)/1 is divided by u?
15
Let s(q) = -q**3 - q**2 - q + 10. Let j be s(0). Suppose j*h - h - 99 = 0. Let f = 47 + -17. Calculate the remainder when f is divided by h.
8
Suppose -i + a = -10, -3*i = -38*a + 37*a - 36. Suppose 4*v = 4*w + 184, 0*w + 2*w - 100 = -2*v. Calculate the remainder when v is divided by i.
9
Suppose 0*x - x = 5*c - 18, -2*x = -5*c - 6. Let k be 75/20 - (-2)/x. Suppose -k*f + 6*f - 28 = 0. What is the remainder when 27 is divided by f?
13
Let w(f) = -13*f**3 + 2*f**2 + 3*f + 2. Let p(r) = -5 + 2*r**2 - r**3 - 10*r**2 + 4*r**2 - 6*r. Calculate the remainder when w(-1) is divided by p(-3).
2
Calculate the remainder when ((-174)/116)/(6/(-1132)) is divided by 55.
8
Suppose -4*b + 10 = -6*b. Let y = b + 27. What is the remainder when y is divided by 13?
9
Let y = -1 + 6. What is the remainder when 7 is divided by y?
2
Let z(u) = -u**2 - 10*u. Let q(p) = -p - 11. Let m = -7 + 1. Let s be q(m). Calculate the remainder when z(s) is divided by 9.
7
Suppose -y + 36 = 5*n, n + y - 4*y - 20 = 0. Suppose 3*p - n - 1 = 0. What is the remainder when 9 is divided by p?
0
Let i be 44/16 - (-3)/12. Calculate the remainder when 17 is divided by i/(-5) - 530/(-50).
7
Suppose -599 = -5*q + 3*u, -2*q + 5*u + 0*u + 251 = 0. Suppose r + 4*g = 4, 0*g - 121 = -4*r + 5*g. What is the remainder when q is divided by r?
22
Let r be (-4)/(-6) + -1 + (-4568)/(-24). Suppose 4*q + o - r = 0, 2*q - 2*o - 102 = o. Calculate the remainder when q is divided by 13.
9
Let b be -4*4/(-8)*-23. Let u = b + 80. Let l = 17 - 5. What is the remainder when u is divided by l?
10
Suppose 14*w - 18*w + 1008 = 0. Suppose -7*r = -10*r + w. What is the remainder when r is divided by 22?
18
Suppose -22*v = 50*v - 13248. What is the remainder when v is divided by 56?
16
Suppose -5*q + 5*x = 25, 0 = q - 3*x + 6 - 3. Suppose -173 = -13*d + 22. What is the remainder when (59/(-2))/(3/q) is divided by d?
14
Suppose a - r + 29 = 3*a, -3*a + 2*r = -26. Suppose -2*z + w - a = -32, -4*w = 2*z. Calculate the remainder when 14 is divided by z.
6
Let g = 607 + -574. Calculate the remainder when 110 is divided by g.
11
Let j(f) = 4*f + 12. Let n be j(7). Suppose 3*b + b = n. Calculate the remainder when b is divided by 7.
3
Let q be 52/(-14) + (-12)/42. Let b(m) = m**3 + 5*m**2 + 2*m + 7. Let d be b(q). Suppose x = d - 1. What is the remainder when 40 is divided by x?
12
Suppose 0 = -5*l - 5, 2*m + 4*l - 45 = -l. What is the remainder when m is divided by 4 + 12*18/24?
12
Suppose 0 = -3*r + 2*o + o + 12, -2*o = -8. Let a(j) = -j**3 - 3*j**2 + 6*j + 22. Let d = -31 + 27. What is the remainder when a(d) is divided by r?
6
Let x = 51 - 29. Calculate the remainder when 73 is divided by x.
7
Let w = -110 + 77. Suppose 2*m + 4*k - 58 - 72 = 0, 2*m - 2*k - 118 = 0. Let a = w + m. Calculate 