hat is the remainder when z/(-4) - 1209/(-52) is divided by 12?
11
Suppose 0*i + 4*i - 40 = 0. What is the remainder when 167 is divided by i?
7
Suppose 0 = -3*j - 3, 1 = 2*v - j - 10. Suppose 4*n - 14 = -b + 3*b, n - 20 = -v*b. What is the remainder when 14 is divided by n?
4
Suppose -2*f = f - 3, 0 = 3*m - 4*f - 257. Let w = 123 - m. What is the remainder when w is divided by 10?
6
Let l = 17 + -12. Suppose -20 = -4*q + 2*q. Suppose l*j - q = 185. What is the remainder when j is divided by 14?
11
Let q = -2348 - -2415. Calculate the remainder when 666 is divided by q.
63
Let p = 74 + -71. Suppose -t - 410 = -4*r, r - 108 = -0*r + p*t. Calculate the remainder when r is divided by 8.
6
What is the remainder when 38 is divided by (-142)/(-6) - 310/186?
16
What is the remainder when 103 is divided by 3 - (-4 - -1 - 25)?
10
Let h(b) = -4*b**3 + 15*b**2 - 7*b + 3. Calculate the remainder when 167 is divided by h(2).
14
Suppose 9 = -3*y + 21. Calculate the remainder when 200/y + (1 - -3) is divided by 16.
6
Let z(d) = -4*d - 55. Suppose 5*q = -7*v + 3*v + 97, v = 2*q + 21. Calculate the remainder when v is divided by z(-17).
10
Let t(n) = -12*n - 3. Calculate the remainder when 511 is divided by t(-5).
55
Suppose w = -w - 10. Let v(q) = q**3 + 6*q**2 + 7*q + 1. Let o be v(w). What is the remainder when 16 is divided by (-92)/(-10) - o/(-45)?
7
Let j = 119 - 31. What is the remainder when j is divided by 110/15 - (-10)/6?
7
Let f = -15 - -13. Let t(i) = -i**2 - 4*i - 4. Let q be t(f). Suppose -2*h + 3*v + 30 = q, 6*h + 5*v - 16 = 2*h. What is the remainder when 32 is divided by h?
5
Let n(i) = -i**2 + 13*i - 16. Suppose -9*y = -8*y - 8. Let b(x) = -8*x**3 + 1. Calculate the remainder when n(y) is divided by b(-1).
6
Let u(h) = -38 + 8 - 3*h - 5. What is the remainder when u(-19) is divided by 13?
9
Suppose 4*p - 3*p - 8 = -5*h, -2 = h + 2*p. Suppose h*w - 88 = -2*w. What is the remainder when w is divided by 3?
1
Let p(q) = -11*q + 1. Let r(y) = 11*y - 1. Let o(v) = 6*p(v) + 7*r(v). Calculate the remainder when o(10) is divided by 28.
25
Suppose l - 1 = -16. Let g = l - -37. Suppose -101 = -3*k - 5*s + 43, 89 = 2*k + s. Calculate the remainder when k is divided by g.
21
Let k(r) = r**2 - 6*r - 24. What is the remainder when k(13) is divided by 21?
4
Let c(k) = -k**2 + 6*k. Let m be c(7). Let l be (-18)/m*(-14)/(-3). Suppose w = 4*w - l. What is the remainder when 7 is divided by w?
3
Suppose -3*v - 2*k + 57 = 0, -3*v - 3*k + 66 = 2*k. What is the remainder when v is divided by 102/10 - 8/40?
7
Calculate the remainder when 179 is divided by 67/134 + (-19)/(-2).
9
Let a be 56/(290/950 + 1/(-5)). Suppose 9*t - a = -91. Calculate the remainder when t is divided by 10.
9
Suppose -z - 69 = -2*k, z + 145 = 4*k + 8. Suppose 6*w - 588 - 279 = -93. Calculate the remainder when w is divided by k.
27
Suppose 8*i - 3*x - 29 = 3*i, -i = 5*x + 11. Suppose 2*h - 30 = i*p, 5*p - 2 = 3. Let c = -257 + 266. Calculate the remainder when h is divided by c.
8
Let o = -21 - -42. Let n(w) = 8*w - 1. Let c be n(-1). What is the remainder when 1/c + (-4 - 6200/(-72)) is divided by o?
19
Let g = -860 + 864. What is the remainder when 12 is divided by g?
0
Let n(o) = o - 3. Suppose -5*k - s = -28, -6*s + 17 = k - 2*s. What is the remainder when n(k) is divided by -14*((-114)/14 + (25 - 17))?
0
Let m = -7 + -3. Let v = m - -12. Suppose i + 3*x = -6, -x - 30 = -3*i + v*x. Calculate the remainder when 29 is divided by i.
5
Suppose -3*m = 5*y + 9 + 60, 4*y - 4*m = -68. Calculate the remainder when 8 is divided by 5/(3/(-18)*y).
0
Let n(m) = -19*m - 16. Let h = 17 + -25. Let o be n(h). Suppose 0*i - o = -4*i. What is the remainder when i is divided by 9?
7
Suppose 0 = 3*o + 2*n - 658, -9*o - 2*n - 206 = -10*o. Calculate the remainder when o is divided by 55.
51
Let o be ((-4)/5)/((-6)/15). Suppose -t = -3, -1 = -o*x + 3*t - 4. Let c = 2 + x. Calculate the remainder when 14 is divided by c.
4
Let i be (-6)/9 - (-22)/6 - 1. What is the remainder when -38*(i/5)/(44/(-55)) is divided by 11?
8
Suppose 7*w - 12*w + 260 = 0. What is the remainder when w is divided by 11?
8
Suppose 0 = -5*o - 4*u + 36, -14 - 14 = -4*o - 3*u. Let z = 4 + o. Let i(a) = a - 2. Calculate the remainder when 23 is divided by i(z).
5
Suppose 2 = -o, 3*a - 4*o = -3 + 26. Suppose a*t = t + 36. What is the remainder when 15 is divided by t?
6
What is the remainder when -11*45/(-330)*(-1082)/(-3) is divided by 34?
31
Suppose 0 = -2*a + 17 + 21. What is the remainder when 81 is divided by a?
5
Let h(r) = r**3 + 12*r**2 - 16*r. Let l(q) = -q + 6. Let o be l(3). Let i(u) = -u**2 - 4. Let w be i(o). What is the remainder when h(w) is divided by 10?
9
Suppose -3*k = -y + 69, -4*y + 2*k = y - 306. Let d = 10 + 11. Calculate the remainder when y is divided by d.
18
Let j = 8 + -13. What is the remainder when 2*31 - 5/(-3)*3 is divided by (-348)/(-15) - (-1)/j?
21
Suppose 10*n - 107 = 173. Calculate the remainder when 86 is divided by n.
2
Let q be 88 - (3 + 0) - -2. Suppose 3*i + 12 - q = 0. Calculate the remainder when 98 is divided by i.
23
Let k = 32 + -30. Let l(c) = 6*c**2 - c + 1. Calculate the remainder when l(k) is divided by 8.
7
Let p(v) = 5*v**3 - 3*v**2 + 1. Calculate the remainder when 92 is divided by p(2).
5
Let w = -423 + 436. What is the remainder when 56 is divided by w?
4
Let i = -713 + 762. Calculate the remainder when i is divided by (-4)/(-2*3/6).
1
Let a(j) = 4*j**2 + 5*j - 10. Let r(c) = -3*c**2 - 5*c + 9. Let h(o) = 5*a(o) + 6*r(o). Let f = 20 - 17. Calculate the remainder when 10 is divided by h(f).
3
Suppose 0 = -32*h + 23*h. Calculate the remainder when 15 is divided by -4*(-2 - h/(-4)).
7
Suppose 0 = -u + 4*j + 122 + 108, -j - 2 = 0. What is the remainder when u is divided by 44?
2
Suppose 6 = 4*i - i. What is the remainder when -3 + i + 48 - 1 is divided by 24?
22
Let m(l) = 3*l**2 + 10*l + 57. Calculate the remainder when m(-6) is divided by 28.
21
Let d = 65 - 17. Let i(k) = 7*k - 116. What is the remainder when d is divided by i(17)?
0
Suppose 2081 - 5265 = -8*g. Calculate the remainder when g is divided by 51.
41
Suppose 9*p + 3*c - 112 = 5*p, 5*p = -5*c + 140. Calculate the remainder when 45 is divided by p.
17
Let d be -1 + 0 + 830/(-2). Calculate the remainder when (-174)/3*(-1)/1 is divided by d/(-20) + 4/(-5).
18
Let r be 0*(-5 - -3 - 10/(-4)). Suppose r = 13*d - 548 + 67. What is the remainder when 184 is divided by d?
36
Let n = -199 + 285. Suppose 0*x - x = -3*l + 28, -l - x = -16. Calculate the remainder when n is divided by l.
9
Suppose 1 = -s + 3, v - 35 = 3*s. Suppose 522*a + 42192 = 95320 + 74762. Calculate the remainder when a is divided by v.
40
Let f(p) = 17*p - 193. Let g = 14 - 6. What is the remainder when f(12) is divided by g?
3
Let u = -33 + 90. Let t = -41 + u. Calculate the remainder when 77 is divided by t.
13
Suppose 371 = 8*g - 269. Calculate the remainder when g is divided by ((-6)/1)/((-4)/18).
26
Let z(t) = -28 - 18 - 3*t + 8 - 18. What is the remainder when 25 is divided by z(-23)?
12
Suppose -5*w + 2*w = 2*t - 130, 0 = -t - 5*w + 51. Calculate the remainder when t is divided by 0 - ((-294)/18 + (-10)/6).
17
Let b(v) = 48*v + 5. Let j be b(1). Suppose j = 2*i + 13. Calculate the remainder when 95 is divided by i.
15
Let y be (-6)/(-9)*(-3)/(-2). Let o(g) = 3*g**2 - 1. Let d be o(y). Suppose -4 - 12 = -d*u. What is the remainder when 29 is divided by u?
5
Let w = -18 - -16. What is the remainder when (-6)/(-15) - 238/(-5) is divided by (-49 - 1)*w/4?
23
Let p(v) be the third derivative of 0 - 29/24*v**4 + 0*v**3 - 7*v**2 + 0*v. What is the remainder when p(-1) is divided by 10?
9
Suppose 2*o + 3*f - f - 262 = 0, 4*o = 3*f + 510. What is the remainder when o is divided by 13?
12
Let g = -37 + 40. Suppose 0 = -3*j - 2*i + 48, -66 = -g*j - 2*i + 6*i. What is the remainder when j is divided by 10?
8
Suppose 1596 = 37*x - 4139. Calculate the remainder when x is divided by 79.
76
Let o = -314 + 411. What is the remainder when o is divided by 33?
31
Let q(l) = -157*l. Let z be q(-1). Let y = z + -81. What is the remainder when y is divided by 20?
16
Let h(k) = 4*k**2 + 6*k - 8. Let q be h(-8). Suppose q = 5*d - 2*s - 67, -5*d - 3*s = -262. What is the remainder w