ose d*b = -3*w + 56, w = -2*b - b + 70. What is the remainder when b is divided by 8?
6
What is the remainder when (78/624)/(1 - 1111/1112) is divided by 122?
17
Let u = 1716 - 1625. Suppose -3*p - 5*m + 57 = 10, -p + 16 = 2*m. What is the remainder when u is divided by p?
7
Let s = -47 + 49. Let q be (s - (-14)/5)/(3/40). Suppose q = y + 23. Calculate the remainder when y is divided by 11.
8
Suppose -g - 5*g = 144. Let l(b) = -b - 1. Let o be l(g). Let x(z) = 2*z**2 - 45*z - 21. What is the remainder when 16 is divided by x(o)?
0
Let c be 42*3/9*17. Let r = c - 218. What is the remainder when 97 is divided by r?
17
Let f(h) = -3*h**2 - 51*h + 305. Calculate the remainder when 458 is divided by f(-20).
83
Suppose u - 2*o = 4, -5*u - 5*o + 0 = -20. Let v(j) = -10*j**2 + 15*j + 15. Let g be v(-6). Let p = -417 - g. Calculate the remainder when p is divided by u.
2
Suppose -17154 = -21*f - 2475. Suppose -41*p + f = -1105. Calculate the remainder when 55 is divided by p.
11
Suppose -2*i + 13480 = 4*w, 4*w - 2*w = -3*i + 6732. Suppose w = 17*c + 125. What is the remainder when c is divided by 24?
23
Suppose 0 = u + 33 - 39. Suppose -u*r + 68 + 526 = 0. Suppose 0 = 3*z + 4*i - 64 - 19, -3*i + r = 4*z. Calculate the remainder when z is divided by 4.
1
Suppose -4*s - 2*g + 4741 + 169 = 0, -4*g = -4*s + 4940. Suppose -d = 9*d - s. What is the remainder when d is divided by 14?
11
Suppose 4*g = 4*t - 7*t + 3465, 5789 = 5*t + 2*g. What is the remainder when t is divided by 43?
41
Let g be -96*(-6 - 12/(-3)). Suppose z + 4*c + 152 = 5*z, -4*z = 4*c - g. Calculate the remainder when 127 is divided by z.
41
Suppose -3*g + 331 = 103. Suppose 0*t - 4*t + 40 = 3*j, 4*j - 3*t - 95 = 0. Calculate the remainder when g is divided by j.
16
Let q = -18533 - -19340. Calculate the remainder when q is divided by 100.
7
Suppose -38*k + 72 = -35*k. Suppose -k*m = -14*m - 60. Calculate the remainder when 69 is divided by m.
3
Let c(j) = -j**3 + 24*j**2 + 31*j - 57. Let m(a) = -3*a - 34. Let x be m(-12). Suppose -3*q + 25 = -x*q. Calculate the remainder when c(q) is divided by 47.
46
Suppose -60 = -4*h + 3*h. What is the remainder when (-892)/(-14) + 1 + h/(-84) is divided by 17?
13
Let j be -4*(-2535)/20*(-16)/12. Let o = -670 - j. What is the remainder when 78/4*8/6 is divided by o?
2
Let y = 9 + -6. Let f(c) = 27*c - 50. Calculate the remainder when f(y) is divided by 10.
1
Suppose 5*k - 12*k = k. Calculate the remainder when (-3 - 2/(-6)*k) + 64 is divided by 33.
28
Let o(r) = -r**3 + 21*r**2 - 67*r + 416. What is the remainder when 649 is divided by o(18)?
103
Let r(m) be the first derivative of m**2 + 86*m - 121. What is the remainder when 55 is divided by r(-33)?
15
Suppose 0 = -3*j + 15, q - 4 = -5*j + 34. Let d be (3 + 9/9)*298/(-8). Let t = d + 200. What is the remainder when t is divided by q?
12
Let x(o) = -867*o - 4325. Suppose 4*v + d = 5, 7*d - 2*d = -4*v - 7. Let p(q) = 18*q + 1. What is the remainder when p(v) is divided by x(-5)?
7
Suppose -5*r + 27 = -2*r. Let f(k) = -k**2 + 11*k - 7. Let b(t) = -t**3 - 7*t**2 - 18*t - 29. What is the remainder when b(-6) is divided by f(r)?
10
Suppose 2*m + 12 + 6 = 0. Let z = m - -298. Suppose -k + 4*l = k - 106, -5*k + 4*l = -z. What is the remainder when k is divided by 21?
19
Let c = 140 - 32. Suppose 10*n + c = 478. Calculate the remainder when 139 is divided by n.
28
Let r = -121625 - -121673. Suppose 254 + 112 = 2*x + 5*b, 2*x + 3*b - 366 = 0. What is the remainder when x is divided by r?
39
Suppose -57*x + 3512 + 7945 = 0. Calculate the remainder when 1195 is divided by x.
190
Suppose 4*s + 6 = 2*v, 3*v = 13 + 2. Calculate the remainder when s/2 - (-305)/2 is divided by (-3 + -13 + 8 + 7)*(-3 - 10).
10
Let j = -1641 - -2737. Suppose 4*s - 2428 = -4*d, -5*d + 731 + j = 3*s. Calculate the remainder when s is divided by 76.
72
Suppose -3*z + 32 = 4*b, b + z = -4*z + 8. Let v(f) = 4*f + 9. Suppose 0*d = -3*i - d + 364, -2*d = -2. What is the remainder when i is divided by v(b)?
39
Suppose 3*p = 11 + 7. Suppose p*w + 32 = 2*w. Calculate the remainder when 32 - ((-9)/(-27) - w/3) is divided by 11.
7
Let h = 33962 + -32711. What is the remainder when 3759 is divided by h?
6
What is the remainder when -1556*-3*(-8)/(-48) is divided by 7?
1
Let n(i) = 4*i + 203. Let g be ((-2)/(4/(-19)))/(6/(-24)). What is the remainder when n(g) is divided by 11?
7
Suppose 717 - 510 = c. What is the remainder when 1260 is divided by c?
18
Suppose 0 = 5*x - 26*x + 630. Let r = 57 - x. Calculate the remainder when 159 is divided by r.
24
Let k(y) = -y**3 + 19*y**2 - 76*y - 23. Let j be 26*5/(-40)*-4. What is the remainder when 37 is divided by k(j)?
1
Let f(u) = -15*u - 103. Suppose 2*a + r = -14, 2*r = -a - r - 2. Calculate the remainder when 67 is divided by f(a).
16
Let c(p) = -4*p + 1. Calculate the remainder when c(-2) is divided by (756/(-1620) - (-3)/(-15))*-3.
1
Suppose -2*b - 2*k + 112 = 0, -3*b + 2*k + 59 = -2*b. Suppose 3*t = 3*n - 858, -t - 94 = -4*n + 1041. Calculate the remainder when n is divided by b.
55
Let q = 110 + -77. What is the remainder when -3 + 15876/120 - (-12)/(-40) is divided by q?
30
Let x = 12442 - 12104. Calculate the remainder when x is divided by 7.
2
Suppose -645 = -5*m + a, -69*m + 66*m - 5*a = -387. Calculate the remainder when m is divided by (-168)/9*(-45)/20.
3
Let n = -525 - -623. Let l = -120 - -401. Calculate the remainder when l is divided by n.
85
Calculate the remainder when (-139 + 0)/((-1046)/58 - -18) is divided by 96.
95
Let x(r) = 9*r**2 - 3*r - 14. Let d be (-6)/((-15)/10 - -3). What is the remainder when x(d) is divided by 30?
22
Suppose 710 = 9*u - 1099. Suppose -479 = -27*k - 398. What is the remainder when u is divided by k?
0
Let k = 418 + -809. Let u = k + 475. Calculate the remainder when u is divided by 29.
26
Let x = -2245 - -2204. Suppose -6*f + 2*f = -284. Let o = x + f. Calculate the remainder when 118 is divided by o.
28
Suppose 6549 = 18*u - 14*u + z, -3*u = -3*z - 4908. What is the remainder when u is divided by 35?
27
Calculate the remainder when 451 is divided by (23/(345/50))/((-2)/(-105)).
101
Let x(p) = 12 - 3 + 6 - 3*p**2 + 14 - 23*p. Let g(t) = 4*t**2 + 23*t - 28. Let m(j) = -4*g(j) - 5*x(j). Calculate the remainder when m(21) is divided by 3.
0
Calculate the remainder when 14536/120 + 2/(-15) is divided by (-332)/(-18) - (-1488)/(-3348).
13
Let u be 81/15 + (-4)/10. Suppose 0 = -0*j + u*j - 60. Suppose -3*q = -3*c + 180, -2 - 244 = -4*c + 6*q. What is the remainder when c is divided by j?
9
Suppose -98 = 2*b + 5*b. Let h = b + 27. What is the remainder when 20 is divided by h?
7
Suppose -3*p = 2*z + 2236, 8*z + 1499 = -2*p + 5*z. Let w = -588 - p. Calculate the remainder when w is divided by 32.
26
Let q be (-4)/18 - 42/54. Suppose 0 = -5*y - 36*y - 36*y + 1463. What is the remainder when y is divided by 0 + 1/(q/(-7))?
5
Suppose 54*d - 305 = 289. Let z(h) = h**2 - 10*h + 20. Calculate the remainder when 216 is divided by z(d).
30
Suppose 5*l - 63 = 2*l. Suppose 2402 - 3134 = -6*h. What is the remainder when h is divided by l?
17
Suppose 1888 = -95*t + 5688. Calculate the remainder when 2078 is divided by t.
38
Suppose 17551 = 46*t - 1677. Calculate the remainder when t is divided by 150.
118
Let t(y) = 128*y + 2707. Let o be t(-21). Let s = 1 - -1. Suppose n - 5*c - 11 = o, 3*n = -s*c + 90. What is the remainder when n is divided by 17?
13
Let v = 6039 - 5962. What is the remainder when 2916 is divided by v?
67
Let d = 1244 - 155. What is the remainder when d is divided by 52?
49
Suppose -8*m + 13*m - k - 168 = 0, 0 = 4*m - 3*k - 141. Calculate the remainder when 16 is divided by (m/(-3) - -8)/(2/(-6)).
7
Suppose -4*w - 3*b + 2321 = 0, 3*w - 1744 = -5*b + 6*b. What is the remainder when w is divided by 195?
191
What is the remainder when (-16961)/(-6) - 7*5/(-210) is divided by 20?
7
Let i(z) = -7*z**3 + 1. Let r be i(1). Calculate the remainder when 7 - r/36*0 is divided by 4.
3
Let n = 169 - 165. Suppose 0 = -4*c + 4*s + 60, 2*s - 3*s - 75 = -n*c. Calculate the remainder when c is divided by 8.
4
Let n(b) = -100*b - 1255. What is the remainder when 121 is divided by n(-13)?
31
Suppose 64*r - 3922 = 1966. What is the remainder when 199 is divided by r?
15
Su