e the remainder when p is divided by 12.
8
Suppose 6*r + 62 = 26. Calculate the remainder when 45 is divided by 4/5*(28 - -1 - r).
17
Suppose 6*o - 12 = 7*o. Let i = o + 23. Suppose 0 = 1070*v - 1075*v + 375. What is the remainder when v is divided by i?
9
Let h(g) = g**2 + 14*g - 54. Let i be h(-17). What is the remainder when (9/27)/(i/(-234)) is divided by 12?
2
Let y be (2 + 1)*35/15. Suppose -5*k + 4*q + 16 = -2, -6 = -5*k - 2*q. What is the remainder when 70 is divided by 896/49 - k/y?
16
Let v = 154032 - 153983. Let h(m) = m**2 - 7*m + 5. Calculate the remainder when v is divided by h(7).
4
Suppose 0 = 5*n - 5*l - 190, -7*n + 10*n = -5*l + 82. What is the remainder when 1935 is divided by n?
31
Let h = -70 + 109. Suppose 5*t - 220 = -6*t. What is the remainder when h is divided by t?
19
Suppose -23 = -3*l + 2*l. Suppose 89*b + 6064 = 7666. What is the remainder when l is divided by b?
5
Suppose 0 = 3*a - 4*p + 638 - 1858, -3*p - 2026 = -5*a. Let u = a + -364. Calculate the remainder when 116 is divided by u.
36
Suppose 92*b + 107*b - 727982 = 18*b. What is the remainder when b is divided by 149?
148
Suppose -5*h = -5*j + 25, -44 + 11 = -5*j + h. Suppose -j*n + 352 = 4*n. Calculate the remainder when 85 is divided by n.
21
Let z(d) = 15*d - 10. Suppose 4114 = 14*m - 20*m + 23*m. What is the remainder when m is divided by z(6)?
2
Suppose -15*n = 5*n - 21520. What is the remainder when n is divided by 49?
47
Let n = 33 + -18. Suppose -3*s - 39 = 6. Let r(f) = -f**3 - 14*f**2 + 11*f + 14. Calculate the remainder when r(s) is divided by n.
14
Let c be -8*(-1)/12*66. Suppose 36*r + 288 = c*r. Calculate the remainder when 102 is divided by r.
30
Suppose -2*k - 2 = 0, 5*n - 107 = -4*k + 169. Calculate the remainder when 74 is divided by n.
18
Let j = 52 + -37. Let y(g) = -3*g**3 + 4*g**2 + 14*g + 25. What is the remainder when y(-2) is divided by j?
7
What is the remainder when (9 + (-1622 - 8))*-1 is divided by 74?
67
Suppose -5*u + 13*m = 12*m - 7561, -16 = -4*m. Calculate the remainder when u is divided by 101.
99
Suppose 22*d - 12*d + 4460 = 0. Let y = -262 - d. Calculate the remainder when y is divided by 21.
16
Let s = 831 + -814. Suppose s*w + 5*d = 13*w + 558, 2*w = -d + 282. Suppose -3*n = -0*n - 87. What is the remainder when w is divided by n?
26
Let w = -119 + 131. Let a(c) = -c**2 + 16*c - 11. Calculate the remainder when 105 is divided by a(w).
31
Let l = 146 + -260. Let d = -66 - l. What is the remainder when d is divided by 16?
0
Let f = 8830 + -8796. Calculate the remainder when 755 is divided by f.
7
Let j(r) = r**2 - 17*r + 40. Let z be j(10). Calculate the remainder when (-87)/(((-15)/z)/(2/(-6))) is divided by 17.
7
Suppose -l - 566 = 3*p - 2753, 3*p = 5*l + 2205. Suppose -p - 82 = -28*i. What is the remainder when 316 is divided by i?
26
What is the remainder when -1 + (-3)/(-9) + 45530/174 is divided by 38?
33
Suppose -47*a + 2724 = -40*a - 4402. Calculate the remainder when a is divided by 18.
10
Let g(r) = -2*r + 1. Let t(v) = 4*v - 17. Let w(h) = -2*g(h) + t(h). What is the remainder when 11 is divided by w(3)?
1
Suppose -2*i + 5*v = -3*i - 394, 2*v = -3*i - 1234. Let x = i + 459. Calculate the remainder when 64 is divided by x.
19
Suppose 5*m - 259 = q, -10*m - 3*q = -6*m - 211. Calculate the remainder when 2753 is divided by m.
49
Let v = 77 + -92. Let j be (-222)/(-5) - 9/v. Let b = j - 18. What is the remainder when b is divided by 8?
3
Let z = -31550 - -32523. Calculate the remainder when z is divided by 163.
158
Let r(a) = a**2 + 23*a - 232. What is the remainder when r(-48) is divided by 108?
104
Let o = -294 + 306. What is the remainder when 64 is divided by (-2)/o*(-2232)/12?
2
Suppose 24*s - 3835 = 1205. Calculate the remainder when 595 is divided by s.
175
Let m = 492 - 496. Calculate the remainder when (m + 5)/(-1) - (-282 - -3) is divided by 47.
43
Let h = -38190 - -38367. Calculate the remainder when 21061 is divided by h.
175
Suppose 0 = -6*m + 188 + 538. Let j = m - 73. Let y = j - 31. Calculate the remainder when 80 is divided by y.
12
Suppose 7*j = 2*b + 3*j - 122, -5*j + 179 = 4*b. Suppose b = -u + 112. Calculate the remainder when 178 is divided by u.
56
Calculate the remainder when (2/(-9))/(1/6) + (-30975)/(-531) is divided by 15.
12
Let p(k) = 6*k**2 + k - 10. Let h = 30611 - 30530. Calculate the remainder when p(9) is divided by h.
80
Suppose -55*l + 411*l = 27112 + 135580. Calculate the remainder when l is divided by 64.
9
Let w = 1397 + -1394. Suppose -1 = -c - 3, 3*k + c = 4. What is the remainder when 2 + (k - (-1 - 6)) is divided by w?
2
Let n = 728 + -726. Suppose -36 + 6 = -5*t + n*i, t - 29 = 5*i. Let f(y) = -y**3 + 2*y**2 - 1. What is the remainder when t is divided by f(-1)?
0
Calculate the remainder when (14 - 5)*2 - -499 is divided by 20.
17
Suppose -20 = -5*z, -5*r - 26*z = -31*z - 35. Calculate the remainder when 1059 is divided by r.
3
What is the remainder when (-60)/570 + 20367/171 is divided by 30?
29
Suppose 213*t = -64*t + 68973. Calculate the remainder when 326 is divided by t.
77
Let g(w) = 405*w**2 - 55*w - 31. Let x(y) = -135*y**2 + 19*y + 11. Let m(u) = 6*g(u) + 17*x(u). Calculate the remainder when m(1) is divided by 70.
59
Let y(h) = -7*h - 6*h + 5*h**2 + 8*h + 8. Let n be y(5). Suppose -2*r - n = -5*a - r, -5*r = a - 32. What is the remainder when a is divided by 14?
8
What is the remainder when -5 - (7/(-49) + 18/28)*-90 is divided by 30?
10
Let f = -12 - -15. Suppose 0 = -3*p - 2*u - 4, 4 = -f*p - p - 3*u. Let n(g) = -g**3 - g**2 + 7*g + 10. Calculate the remainder when 117 is divided by n(p).
27
Let p = 245 - 270. Let y = p + 50. Calculate the remainder when 297 is divided by y.
22
Let v = -75 + 133. Suppose -p - 31 = -2*d, 2*p + 18 = 5*d - v. What is the remainder when 16 is divided by d?
2
Let o(i) = -i**2 + 9*i - 67. Let k be o(10). Let v = -71 - k. Calculate the remainder when 34 is divided by v.
4
Suppose -457*c - 4253 + 11067 = -5525. What is the remainder when 3211 is divided by c?
25
Let m be -15*(3/((-18)/(-26)) - 3). Let j = 64 + m. Calculate the remainder when j is divided by 19.
6
Let j(d) = 9*d + 26. Let a be j(-4). Let l be (3 + -298)*4/a. Let y = -80 + l. What is the remainder when y is divided by 10?
8
Suppose -354 = n + 4*z, z - 3*z + 1034 = -3*n. Suppose 2*w + 256 = -86. Let j = w - n. What is the remainder when j is divided by 44?
43
Suppose 0 = -4*i - y + 2*y + 17, -19 = -5*i - y. Suppose 0*q - i*q = 16. Calculate the remainder when 41 - (0 - (q + 2)) is divided by 11.
6
Calculate the remainder when -1855*(0 - 1) - (18 + -17) is divided by 58.
56
Let o = -7111 + 7129. Suppose 0 = -0*a - 2*a + 1434. Calculate the remainder when a is divided by o.
15
Let w(v) = 66*v + 884. Calculate the remainder when w(-2) is divided by 40.
32
Let b(z) = z**2 - 31*z - 2. Let m be b(31). What is the remainder when 158 is divided by m/12 - (-1036)/24?
29
Let k = -20680 - -20693. What is the remainder when 4754 is divided by k?
9
Let z(f) = 6*f + 1. Let q be z(1). Let c(y) = 20*y - y - 8*y - q*y + 37. What is the remainder when c(-6) is divided by 6?
1
Suppose 0 = -a - 17*f + 21*f + 455, 2*a - 5*f - 895 = 0. Calculate the remainder when 1320 is divided by a.
15
Let d = 299 + -295. Suppose 0 = -4*q - 4*m + 9*m + 280, -5*m = d*q - 240. Calculate the remainder when 247 is divided by q.
52
Let z be ((-16)/(-6))/(6/207). What is the remainder when 20 is divided by z/598 - 204/(-26)?
4
Let p = 145 - -63. Let j = -13276 - -13287. What is the remainder when p is divided by j?
10
Let z be -4 - (-246)/6 - (0 - -3). Suppose c = -p + 3*p - z, -5*c = -3*p + 65. Calculate the remainder when 164 is divided by p.
14
Let g = 349 - 704. Let s = g + 582. Calculate the remainder when s is divided by 10.
7
Let p = -3177 + 3200. Calculate the remainder when 36 is divided by p.
13
Let w(s) = -16*s**3 - 1. Let v = -237140 + 237152. What is the remainder when w(-2) is divided by v?
7
Let v = -1037 + 1062. What is the remainder when 3319 is divided by v?
19
Calculate the remainder when 417 is divided by (0/(-3) - (-15)/60) + 172/16.
10
Let r(q) = q**2 + 2*q. Let b be r(-3). Suppose b*n - 36 = -n. What is the remainder when n is divided by -8 - 1 - -2 - 2*-5?
0
Let t(d) be the third deri