vided by v?
1
Suppose 0 = 22*p - 5*p - 221. Let g = -132 - -181. Calculate the remainder when g is divided by p.
10
Suppose -1211*o = -1193*o - 35100. What is the remainder when o is divided by 122?
120
Suppose 114*x = 132*x - 162. Calculate the remainder when 24 is divided by x.
6
Let p be 0 + -1 + 5 + -3 + 1. Suppose 732 = d + 6*s - p*s, 2868 = 4*d - 4*s. Suppose -264 = 4*b - d. Calculate the remainder when b is divided by 30.
24
Let s(w) = -696*w - 2079. Suppose -5*c = -4*f + 125, -4*f + 2*c + 105 = c. What is the remainder when f is divided by s(-3)?
7
Suppose 1902 = 2*i + u, -763 = -i - u + 189. Suppose 0 = -5*s - a + i, 4*s + 0*a + 2*a = 766. Calculate the remainder when s is divided by 48.
45
Suppose -4*f = -19*f + 1005. Let y = -112 + 66. Let i = -28 - y. Calculate the remainder when f is divided by i.
13
Suppose 339*t + 2906 = 341*t - 4*i, -2*t + 3*i = -2913. What is the remainder when t is divided by 46?
41
Let p(o) = -o + 1. Let k(c) = 11*c - 20. Let r(h) = k(h) + 3*p(h). What is the remainder when r(11) is divided by -23 - -41 - (12 - 2)?
7
Suppose 1 = 3*b - 2. Let x(m) = 91*m**2 - 26*m**2 + 74*m**2 + m - 2 - 13*m**2. Calculate the remainder when x(b) is divided by 32.
29
Let l(a) = a**3 + 51*a**2 + 97*a + 65. What is the remainder when l(-49) is divided by 63?
51
Let y = -81 - -164. Let i = y - 41. Let c = i + -30. What is the remainder when 57 is divided by c?
9
Let s(l) = -l**3 + 9*l**2 - 11*l + 10. What is the remainder when (-2)/20*2088/(-4) - 56/280 is divided by s(7)?
21
Let l = 134 - 89. Let b be (-5)/l + 73/9. Suppose b*k + 48 = 11*k. Calculate the remainder when 58 is divided by k.
10
Let b = 4289 - 4193. Calculate the remainder when 1823 is divided by b.
95
Let a = -154 - -156. Suppose -a*w + 68 = -14. Calculate the remainder when 50 is divided by w.
9
Suppose -5*b - 2 = -7. Let z be ((-3)/b + 30)*3. Let o = -66 + z. Calculate the remainder when o is divided by 8.
7
Suppose 263*l + 3*o = 266*l - 99, -4*l + 5*o = -136. What is the remainder when 47 is divided by l?
18
Calculate the remainder when (-480)/180 + (-5582)/(-3) is divided by 62.
60
Calculate the remainder when (-2)/19 - (-35160)/456 is divided by 37.
3
Suppose -5*u + 5*u = -7*u. Suppose 151*f - 150*f - 53 = u. Suppose 0*c - 3*c = o - 32, -5*c = o - 54. What is the remainder when f is divided by c?
9
Let t(o) = o**3 + o**2 + o - 2. Let a be t(-2). Let u(q) = q**3 - 11*q**2 + 10*q + 10. What is the remainder when u(10) is divided by a/(-20) - 99/(-15)?
3
Let b(f) = f**2 - 24*f + 130. Calculate the remainder when 43 is divided by b(7).
10
Suppose -64*u - 48*u = -23*u - 35155. Calculate the remainder when u is divided by 81.
71
Suppose -1086*y = -1075*y - 3707. Calculate the remainder when y is divided by 51.
31
Let v = -29153 + 31731. Calculate the remainder when v is divided by 41.
36
Suppose j = 5*l - 164, -3*j + 20 = 2*l - l. Suppose 20*d - 3933 = 22527. Suppose 0 = 26*i - 1121 - d. What is the remainder when i is divided by l?
30
Let q(v) = 117*v + 425. Calculate the remainder when 143 is divided by q(-3).
69
Suppose -236*b - 898*b + 3402 = 0. Suppose -3*s - 91 = -2*w, 4*w - 4*s - 71 - 105 = 0. What is the remainder when w is divided by b?
2
Suppose -3*g + 99 = v, 12*g - 8*g - 94 = 5*v. What is the remainder when 251 is divided by g?
3
Let i be -2 - ((-8)/(-3))/((-3)/9). Let f be (-2 - 6)*(-3)/i. Suppose -f*y + 113 = 37. What is the remainder when 35 is divided by y?
16
Let z = 10690 + -10566. What is the remainder when 862 is divided by z?
118
Calculate the remainder when (-51)/34 + (-2 - (8932/(-8) + 3)) is divided by 271.
26
Let t(p) = p**2 - 31*p + 76. Let q be t(34). Let y = q + -95. Calculate the remainder when y is divided by 14.
13
Suppose 5*d = c - 17 + 45, -2*d + 22 = 5*c. Suppose -d*a + 2278 = -410. Calculate the remainder when a is divided by 30.
28
What is the remainder when 501 is divided by ((-2)/4)/(15/30) - -113?
53
Suppose 4*w + w - 10 = 0. Let k = -550 - -567. What is the remainder when k is divided by (w/(-4))/(3/(-60))?
7
Suppose -4*z + 51 + 389 = 0. What is the remainder when 1314 is divided by z?
104
What is the remainder when (-16495)/(-15) + 0 - (-3 + (-44)/(-12)) is divided by 41?
33
Let q(p) = 4*p**2 - 106*p - 28. Let o be q(27). Suppose o*s - 320 = 16*s. Calculate the remainder when 119 is divided by s.
23
Let i = 62681 - 62456. What is the remainder when i is divided by (58 - (-2)/(-2)) + 1?
51
Let n = -3414 - -4151. What is the remainder when n is divided by 37?
34
Let q(v) = 20*v + 15 + 7 + 4*v**2 - 13*v + v**2. Calculate the remainder when q(-4) is divided by ((-250)/15)/((-2)/3).
24
Let y(b) = 8*b**2 - 19*b - 122. What is the remainder when y(-7) is divided by 102?
97
Let z(x) = -10*x + 90. Let m be z(9). Suppose m = -37*h + 42*h - 80. Suppose 5*t = -3*o, -4*o + t + 7 = -16. What is the remainder when h is divided by o?
1
Suppose 5*a - 2*w - 431 = 0, -5*w + 539 = 4*a + 214. What is the remainder when 320 is divided by a?
65
Let o(y) = -20*y - 16. Let q(v) = 20*v + 57. Let n be q(-3). What is the remainder when 144 is divided by o(n)?
12
Suppose -5*w - 420 = -500. Suppose 0 = 2*p + 5*c - 1, -3*p + 7*c + 59 = 3*c. Calculate the remainder when w is divided by p.
3
Let o be 20/100 - (-24)/5. Suppose o*b = -6*b + 352. Suppose 2*f - 22 - b = 0. What is the remainder when 132 is divided by f?
24
Suppose 3*g - 555 = -7*b, -29*g + 24*g = 2*b - 142. What is the remainder when b is divided by 24?
9
Calculate the remainder when (-1)/(-3) - 9702/(-54) is divided by 87.
6
Suppose m + 2*u - 803 = 0, -2*u + 1614 = 2*m - 0*u. Calculate the remainder when m is divided by 39.
31
Suppose -117*c = -5*u - 113*c + 17, 0 = -3*u - c + 34. What is the remainder when 41 is divided by u?
5
Suppose 0 = -3*o + 5*o + 6. Calculate the remainder when (o + (6 - -34))/1 is divided by 14.
9
Let w(y) = y**3 - 16*y**2 - 225*y + 8. What is the remainder when 1062 is divided by w(-9)?
6
Let d = -2 - -17. Suppose -8*m + 5*y - 809 = -11*m, -3 = -3*y. What is the remainder when m is divided by d?
13
Suppose 1467 = 10*x - 363. Let y = -20 + x. What is the remainder when y is divided by 41?
40
Let w = -10247 - -10284. Suppose -5*b + 0*j = -3*j - 42, 5*b = -5*j + 10. What is the remainder when w is divided by b?
1
Let s = -1984 - -2001. What is the remainder when 915 is divided by s?
14
Let j = -60 + 94. Suppose 0 = o - 24 + 5. Calculate the remainder when (-2697)/(-51) + ((-16)/j)/(-4) is divided by o.
15
Let u be (-1 + -2)*7/(-21). Let r be (0 + u - 3)/(-1). Calculate the remainder when 78 is divided by 534/33 + r/(-11).
14
Suppose 45*l = 41*l + 84. Suppose 0 = -5*y + 2*y - 3. Calculate the remainder when (21 - y)*70/20 is divided by l.
14
Let l = -439 + 441. Suppose -q = -5*r + 85 - 37, 5*r + l*q = 54. What is the remainder when 147 is divided by r?
7
Let l = 14485 - 14460. What is the remainder when 1993 is divided by l?
18
Let x be (-5)/(4 - 126/24). Let g(w) = 2*w**2 + w + 87. Calculate the remainder when g(0) is divided by x + (29 - -1) + -4.
27
Suppose -2*n - 10 = 2*s + 2*n, -4*s + 2*n - 50 = 0. Let z = s - -23. Let u(l) = 7*l**2 - 94*l + 59. What is the remainder when u(13) is divided by z?
8
Let y(r) = -9*r - 283. Let d be -2 + 0/(-5) + -30. What is the remainder when 19 is divided by y(d)?
4
Let h be (-3 + 24/9)*-51. Suppose 163 + h = 18*c. Calculate the remainder when 16 is divided by c.
6
Let n(s) = s**3 + 16*s**2 + 28*s + 7. What is the remainder when 206 is divided by n(-3)?
6
Let z = -179 + 182. Suppose z*m + 5*u - 4*u - 70 = 0, m + u = 26. Suppose a - 24 - 32 = 4*s, -5*s + 60 = 2*a. What is the remainder when a is divided by m?
18
Let z = -1901 - -1938. Suppose 0*b + 39 = 3*b. What is the remainder when z is divided by b?
11
Suppose 3*o + 19 = 4*m, 22*o - 17*o - 11 = -4*m. What is the remainder when 581 is divided by m?
1
Let u(y) = 4*y + 2. Let j be (2/(-1))/(6/8 - 1). What is the remainder when 99 is divided by u(j)?
31
Let d = -2550 + 2567. Let x(y) be the second derivative of -y**5/20 + y**4/2 - y**3/2 - y**2 + y. Calculate the remainder when d is divided by x(5).
1
Suppose 0 = -5*d + r + 529, 0 = 12*d - 8*d + r - 416. Let g = d - 84. What is the remainder when 36 is divided by g?
15
Let d = -37172 - -37206. What is the remainder when 3070 is divi