What is the remainder when z is divided by x?
0
Suppose 7*s = 11*s - 84. Suppose -3*r - 2*t + 157 = 0, -3*t - 287 = -4*r - r. What is the remainder when r is divided by s?
13
Let r(i) = 2*i**3 - 2*i**2 + i + 2. Suppose 5*z = z + 8. Suppose 137 = q + 90. Calculate the remainder when q is divided by r(z).
11
Let g(s) = -2*s**3 - 4*s**2 - 4*s - 1. Let u be g(-2). Let h = 19 - u. Suppose -10*o - 110 = -h*o. What is the remainder when o is divided by 14?
13
Suppose 3 = -6*u + 45. Suppose u + 9 = o. Calculate the remainder when 141 is divided by o.
13
Suppose 0 = 3*z - 5 - 16. Suppose 66 = 7*i - 11. Calculate the remainder when i is divided by z.
4
Suppose -x = -2*t - 7, 4*t - x + 11 = 2. Let q(u) = 167*u**2 + 3*u + 2. Let y be q(t). Suppose -y - 249 = -5*o. What is the remainder when o is divided by 14?
13
Let t(z) = -z + 15. Let b be 110/(-16) + 8/(-64). Let a = -2 + 10. Calculate the remainder when t(b) is divided by a.
6
Let a(i) = 24*i - 168. What is the remainder when a(11) is divided by 33?
30
Suppose 15 = -2*n + 7*n. Suppose -28 - 18 = -n*l + 2*t, 5*l + t = 68. What is the remainder when 67 is divided by l?
11
Let k(l) = 25*l - 3. Suppose 5*p - 2*p = -9. Calculate the remainder when 4/(-12)*p*41 is divided by k(1).
19
Calculate the remainder when (0 + 461/2)/(55/330) is divided by 8.
7
Suppose -39*s + 24*s + 675 = 0. What is the remainder when 86 is divided by s?
41
Suppose -6*v = -v - 145. Let w(b) = -b + 12. Let u be w(-14). Suppose -5*y + u = -v. What is the remainder when 42 is divided by y?
9
Suppose -2*b + b - l = -175, 0 = -2*b + 2*l + 358. What is the remainder when b is divided by 14?
9
Let s = 174 + -128. What is the remainder when s is divided by 6?
4
Suppose 0 = -2*n - 4*j + 3 + 11, -5*n - j = 1. Let f(h) = -41*h**3 - 2*h**2 + 38*h**3 + h**2. Calculate the remainder when 7 is divided by f(n).
1
Suppose 798 = 14*n - 308. What is the remainder when n is divided by 25?
4
Let n = 40 + -43. Calculate the remainder when (-1)/n - 182/(-21) is divided by 2.
1
Let u = -264 - 84. Suppose -3*r = -2*r - 9. Calculate the remainder when u/(-22) - (-8)/44 is divided by r.
7
Suppose -27 = -d + 5*o, -2*d - 22 = o - 131. What is the remainder when 412 is divided by d?
48
Suppose 15 = 2*i + a - 15, -4*i + 62 = a. Let r = i + -24. Let l = r - -40. What is the remainder when l is divided by 7?
4
Suppose -2*m = v + 4*v - 375, 4*v = 5*m + 300. What is the remainder when ((-330)/v)/((-4)/110) is divided by (-126)/(-4) + 1/(-2)?
28
What is the remainder when 191 is divided by (-6)/27 + 218/9?
23
Suppose -4*z + 14 = 5*v - 3*z, 4*v - 7 = -5*z. Suppose -v*x = 2*w - x - 180, 2*x = -4*w + 356. Calculate the remainder when w is divided by 31.
26
Let g(p) = -p**2 - 19*p + 22. What is the remainder when 74 is divided by g(-18)?
34
Let x = -10 - 25. Let u be ((-30)/21)/(1/x). Suppose -o = o - u. What is the remainder when o is divided by 13?
12
Suppose 5*x + 0*w - 103 = -w, w = 3*x - 65. Let q be (-594)/14 + (-12)/21. Let m = -35 - q. Calculate the remainder when x is divided by m.
5
Suppose -3*k + 54 = -4*a - 81, -2*a = 4*k - 158. Let l(t) = -t + 25. Calculate the remainder when k is divided by l(4).
20
Suppose -2*t - 4 = -12. Suppose -2*m + 2 = -m. Suppose -5*i = m*a - 226 + 50, -t*i + 172 = 2*a. Calculate the remainder when a is divided by 20.
18
Suppose -2*y = -53 - 309. Let v = -263 + y. What is the remainder when v/(-5 + 3)*2 is divided by 21?
19
Suppose 0 = 4*q - 131 + 31. Let x = q + -12. Suppose -2*h = -3*o - 9, 0 = -3*h + 2*o + 8 + x. What is the remainder when 15 is divided by h?
6
Let n(s) = 12*s - 104. Let o be n(7). Let u = -29 + 79. Let r = o + u. Calculate the remainder when r is divided by 11.
8
Let o(r) = -r**3 + 7*r**2 + 9*r + 8. Let a be o(8). Suppose 0 = 4*s - 6*s + 4*x + 38, s + x = a. What is the remainder when 64 is divided by s?
13
Suppose -2*a = 5*w - 798, 3*w - 462 = -a + 4*a. What is the remainder when w is divided by 81?
77
Suppose 3*q + 12 = 0, 0 = -7*w + 2*w - 5*q + 1370. Calculate the remainder when w is divided by 40.
38
Suppose -20*m + 63 = -97. Calculate the remainder when 108 is divided by m.
4
Let h(b) = 9*b + 50. Let f be h(6). Suppose 4*d - 3*y = 74 + 62, 4*d = -5*y + f. What is the remainder when d is divided by 4?
3
Suppose -2*w - 2*m - 4 = -2, -12 = 3*m. Let r = -2 + 5. Calculate the remainder when (9/(-15))/(w/(-45)) is divided by r.
0
Let t(j) = -2*j**3 - j**2 + 67. Let a be t(0). Let z = a + -62. Calculate the remainder when 44 is divided by z.
4
Suppose 693 = 8*j + j. Suppose 0 = -6*f + 31 + j. What is the remainder when f is divided by 6?
0
Suppose -3*z + 89 = -0*d - 2*d, -5*z = -3*d - 149. Let b(t) = 77*t - 2. Calculate the remainder when b(2) is divided by z.
28
Suppose -7*h + 9 = 79. Let b = 27 - h. What is the remainder when b is divided by 13?
11
Let s(p) = 5*p - 53. Let i be s(22). What is the remainder when 34 is divided by i/3*1/1?
15
Let t(n) = -n - 6. Let s be t(-9). Suppose -s*a = 5*v - 162, -5*v - 3*a = -3*v - 72. What is the remainder when v is divided by 16?
14
Let i = 558 - 426. What is the remainder when i is divided by 40?
12
Let n be 2/(-8) - (-195)/12. Suppose 4*v + 52 = 3*p, 3*v + 3 + n = p. Let q = p - 2. What is the remainder when 55 is divided by q?
13
Suppose 6*c + 72 = 3*c. Suppose 2*v = -11 + 31. Calculate the remainder when (6/4)/((-2)/c) is divided by v.
8
Let c(r) = r**3 + 8*r**2 - 4*r + 6. Let n be c(-8). Let f = n + -26. What is the remainder when 32 is divided by f?
8
Suppose w = -4*f + 113, -w = -4*f + 25 + 78. Let z = 2705 - 2598. Calculate the remainder when z is divided by f.
26
Suppose 0 = 7*c - 3*c - 80. Let j = -182 - -15. Let l = -89 - j. Calculate the remainder when l is divided by c.
18
What is the remainder when (-1115)/(-8) - (-6)/(-16) is divided by 10?
9
Let g(d) = -23*d - 76. What is the remainder when g(-4) is divided by (-1)/(1 + (-10)/9)?
7
Suppose 3*z = -2*n + 56, 72 = -0*n + 2*n - 5*z. Suppose -2*v - 39 = n. Let r = -13 - v. Calculate the remainder when 43 is divided by r.
21
Suppose 1518 = 11*j + 44. Calculate the remainder when j is divided by 126.
8
Suppose 85 + 80 = 5*m. Let t = -406 - -423. Calculate the remainder when m is divided by t.
16
Suppose 0 = 4*f - 8*f, -3*f + 422 = 2*k. Calculate the remainder when k is divided by 106.
105
Let s(a) be the second derivative of -a**5/20 - a**3/3 + a**2/2 - 57*a. Calculate the remainder when 362 is divided by s(-2).
11
Suppose -4*b - b + 310 = 0. Calculate the remainder when 31 is divided by b/6 - 24/18.
4
Let z = -97 - -97. Suppose v - n - 179 = -3*v, z = v + 5*n - 29. Calculate the remainder when v is divided by 24.
20
Suppose m - 30 = -4*o, o = -m - m + 32. What is the remainder when 39 is divided by m?
11
What is the remainder when 49 is divided by 2/1 + -8*9/(-6)?
7
Let l = -380 + 414. What is the remainder when 131 is divided by l?
29
What is the remainder when 4/(-14)*-77 + 2 is divided by (-2)/(-6) - (-52)/6?
6
Let p(z) = 2*z**3 - 9*z**2 + 18*z - 20. What is the remainder when p(6) is divided by 36?
16
Suppose -2*a + w + 27 = a, 4*w = 2*a - 8. Suppose -t + 3*k + 74 = 3*t, 2*k + 72 = 4*t. What is the remainder when t is divided by a?
7
Suppose -67 = -5*c + 98. Let a = c + 25. What is the remainder when a is divided by 20?
18
Let y(r) = -r**3 + 6*r**2 + 2*r. Let b be y(6). Let m be (-1)/(-4*(-3)/b). Let j = m + 4. Calculate the remainder when j is divided by 2.
1
Suppose 0 = -6*i + i + 405. Let r = i + -70. Calculate the remainder when 142 is divided by r.
10
Suppose z + 4*z - 65 = 0. Suppose -j - 5*x = 29 - 14, 0 = 3*j + 3*x - 3. What is the remainder when z is divided by j?
3
Suppose 155 = -5*c + 10*c. Let q(s) = -s**3 - 6*s**2 - 7*s - 7. Let v be q(-5). What is the remainder when 91 + -1*v/3 is divided by c?
28
Let b be (-49 - -52) + (-2)/((-2)/17). Suppose 2*o + b = 4*o. What is the remainder when o is divided by 4?
2
Suppose a + 795 = 3*a + i, -805 = -2*a - 3*i. What is the remainder when a is divided by 33?
32
Let x be (85/20)/((-2)/(-8)). Suppose -4*r + 0*r - 3*o = 23, 4*r - x = 5*o. Calculate the remainder when 1*r - (-63 - -8) is divided by 18.
17
Suppose 4*d = -5*b + 107, 4*b - 5*d = 3*b + 4. Suppose b*o = 21*o - 110. Let r = 122 - o. Calculate the remainder when r is divided by 34.
33
Let k(h) = 20