i**2. Suppose -2*n + 32 = 10. What is the remainder when r(-15) is divided by n?
10
Let j be (4/10)/((-5)/125). Let t(a) = -2*a + 7. Let z be t(j). Suppose z*g + 189 = 30*g. What is the remainder when g is divided by 13?
11
What is the remainder when 4*(-3)/(-2) - 19035/(435/(-29)) is divided by 40?
35
Let g(l) = -l**3 - 66*l**2 - 56*l + 592. Calculate the remainder when 480 is divided by g(-65).
4
Suppose -20*c - c = -728 + 245. Calculate the remainder when 5877 is divided by c.
12
Let h = -6112 - -6270. What is the remainder when 444 is divided by h?
128
Suppose -9*x + 19*x = -4*x + 6188. Calculate the remainder when x is divided by 66.
46
Let z = -6904 - -6963. What is the remainder when 10855 is divided by z?
58
Suppose 3*g + 21 = 0, -5*a = -0*a + g - 1338. Calculate the remainder when a is divided by 39.
35
Let x = -9 + -39. Suppose -k = -2*t + 3*k + 106, 5*t = -4*k + 335. Let m = x + t. What is the remainder when 27 is divided by m?
12
Let m(r) = -9*r - 27. Let y be m(-6). Let u = y + -21. Suppose -u*d + d + 70 = 0. Calculate the remainder when 41 is divided by d.
13
Suppose -5*g + 18 = g. Suppose 2*q - 23 + 6 = -3*m, -2*m - 19 = -g*q. Suppose 14 = h + q. What is the remainder when 13 is divided by h?
6
Suppose -3*x + 54 = 3. Let t be ((-2)/6 - 1)*-3. Suppose -3*z + 33 = 7*n - 4*n, n + t*z - 14 = 0. Calculate the remainder when x is divided by n.
7
Suppose -4 + 180 = -16*m. Let g(l) = l**2 + 12*l + 26. What is the remainder when 88 is divided by g(m)?
13
Let d = 13077 - 9339. Calculate the remainder when d is divided by 20.
18
Let q(u) = 2*u**2 - 2*u + 2. Let h be q(1). Suppose f - 701 = 3*r, -h*f = f - 4*r - 2078. What is the remainder when f is divided by 43?
41
Suppose 25 = -5*a, -25*z = -26*z - 5*a + 272. What is the remainder when z is divided by 139?
19
Let h(i) = 32*i**3 + 226*i**2 - i - 60. Calculate the remainder when 269 is divided by h(-7).
44
Let w(x) = -x**3 + x**2 + 2. Let g be w(0). What is the remainder when (-5)/(-10) - (-93)/g is divided by 25?
22
Let l = 27 - 17. What is the remainder when 2865/90 - (-1 - 110/(-60)) is divided by l?
1
Let i be 12/((-2)/(-2) - 2). Let u = -2 - i. Suppose 2*t = v + 7, v - 138 + 139 = 0. Calculate the remainder when u is divided by t.
1
Suppose 25*y - 4692 - 2808 = 0. Let z = y + -163. Calculate the remainder when z is divided by 28.
25
Let i = 264 + -234. Suppose i*g = 7*g + 2001. Calculate the remainder when g is divided by 30.
27
Calculate the remainder when (-143)/(-429) + (1 - 1978/(-6)) is divided by 73.
39
Suppose -2*n - 2 = o, -2*o + 3*n + 2*n = -23. Suppose 3*i + i + 32 = o*u, 26 = 3*u - i. Let g = 353 - 312. Calculate the remainder when g is divided by u.
5
Suppose -2*a + 44 = 2*l - 5*a, -3*l + 3*a = -72. Calculate the remainder when (-31)/(186/(-180)) - -8*1 is divided by l.
10
Suppose 5*v - 251 + 1 = 0. Let g = -63 - -67. Suppose g*w + 124 = 4*d, -3*w = 3*d + w - 65. What is the remainder when v is divided by d?
23
Calculate the remainder when 620 is divided by (0 + -1)/((-61)/7625).
120
Let q be 7 - 7 - 11*(-4 - 0). Let v = 107 - q. Let c = -22 - -38. Calculate the remainder when v is divided by c.
15
Let p be ((-344)/20 - 2/(-10))/(-1). Suppose -2*i + 25 = -p. Calculate the remainder when 166 is divided by i.
19
Let v = 21 + 31. Suppose 0 = -v*x + 56*x - 8. What is the remainder when 87 is divided by (x/(2/2))/(32/352)?
21
Let b be (-16)/(-6) - (-6 + 102/18). Suppose -b*u - 294 + 330 = 0. What is the remainder when 45 is divided by u?
9
What is the remainder when (4/(-6))/(21/(-19215)*(-20)/(-6)) is divided by 4?
3
Let w = 15982 + -15432. What is the remainder when w is divided by 136?
6
Let p(g) = -2*g**2 + 12*g + 22. Let b be p(7). Calculate the remainder when 131 is divided by (493/(-116))/((-2)/(b*2)).
29
Let p be (-36465)/(-468) - (-3)/36. Let m be (2/(-5))/(2/(-530)). Let h = m - p. Calculate the remainder when 55 is divided by h.
27
Let u = -69 - -74. Suppose 3864 = 4*m + 4*z, 5*m - u*z - 1932 = 3*m. Suppose -m = -6*a - 0*a. Calculate the remainder when a is divided by 27.
26
Suppose 3316 = 27*b + 1183. Calculate the remainder when 2763 is divided by b.
77
Let o = -1738 + 1978. Calculate the remainder when o is divided by 81.
78
Let y be -4 - (-15)/(8 + -3) - -41. What is the remainder when 2670/y - 9/12 is divided by 17?
15
Let d be 3/(-2) - 9/2. Let b(x) = 2*x**2 + 11*x + 4. Suppose 4*w - 29 = 3*w. What is the remainder when w is divided by b(d)?
9
Suppose 4*j + 2*a - 2 = 0, 2*j + 7*a + 9 = 4*a. Suppose -2*c = -y + 12, -j*c = -5*y - 4 + 92. What is the remainder when 116 is divided by y?
16
Suppose -6 = -4*d + 2. Let h be (-3)/(-4) - (1287/44)/(-13). Suppose -d*q + 28 = 2*a, h*a + 5*q - 38 = -0*a. What is the remainder when 47 is divided by a?
15
Let y be 10*12/(-8)*(-4 - -2). Suppose s - 4*n - 58 = -15, 2*s - 47 = -5*n. Let m = s + y. What is the remainder when m is divided by 31?
30
Suppose 146 = -17*b + 19*b. Calculate the remainder when b is divided by (-5)/(10/4 + 221/(-78)).
13
Let n = 89 + -49. Let v = n + -21. Calculate the remainder when v is divided by 14.
5
Suppose -5 = v - 14. Suppose -7*l = -v*l + 4. Calculate the remainder when (-1*l)/(12/(-318)) is divided by 8.
5
Suppose 2814 = 4*k + 20*k + 510. What is the remainder when 7871 is divided by k?
95
Suppose 0 = -7*b + 11*b - 104. Let s = b - 21. Let x = -137 - -156. What is the remainder when x is divided by s?
4
Let n(d) = d**2 + 30*d + 51. Let x be n(15). Suppose 3*t - f - 2 = 0, -2*f = -5*t + 3 - 1. Calculate the remainder when (x/(-12))/((-1)/t) is divided by 32.
25
Let i(c) = -c**2 - 8*c. Let u(r) = r**3 - 8*r**2 - 9*r - 8. Let b be u(9). Let j be i(b). Calculate the remainder when 90 is divided by 3/(3/34) - (j + 3).
28
Suppose 18 = -2*x + 5*l + 65, -5*x + l = -83. Let q(n) = -187*n - 22168. What is the remainder when q(-119) is divided by x?
5
Suppose -4*c + 791 = r, 0 = 3*r - 2*c - 745 - 1642. What is the remainder when r is divided by 133?
130
Suppose -4*n = -n - 603. Let r(j) = -148*j - 131. What is the remainder when n is divided by r(-1)?
14
Let j = -9997 - -10003. Let r = 79 - 51. Calculate the remainder when r is divided by j.
4
Suppose -5*m - 3*s + 66 = 0, 2*s = -2*m + 6*m - 66. Suppose -m*f + 1739 - 314 = 0. What is the remainder when f is divided by 11?
7
Suppose 4*l - 4854 - 609 = -5*p, -2*l - 2*p + 2732 = 0. Calculate the remainder when l is divided by 27.
17
Let b(h) = -190*h + 20. Let w be b(-2). Calculate the remainder when 358 is divided by (w/140)/(4/126).
88
Suppose -2*j + 18 = -2*g, -j - 5*g = -4*j + 35. Let p = 11 - -6. Suppose 12*c - p*c + 160 = 0. Calculate the remainder when c is divided by j.
2
Suppose 2*d + 19*x = 15*x + 566, 0 = 2*x + 6. Calculate the remainder when d is divided by 60.
49
Suppose -199*r + 5270 + 5462 = 2573. What is the remainder when (-2)/8 - 1282/(-8) is divided by r?
37
Let i = -8 + 7. Let m(u) = u + 4. Let b be m(i). Suppose 3*p + 7*j - b*j - 152 = 0, 2*p - 113 = -5*j. Calculate the remainder when p is divided by 9.
8
Let m = 77 - 68. Suppose -m*d + 57 = -51. Calculate the remainder when 21 is divided by d.
9
What is the remainder when 1435 + (-3 - 14) + 0 is divided by 60?
38
Let k = 30289 - 27695. Calculate the remainder when k is divided by 1295.
4
Suppose -22*a + 11*a + 4499 = 0. What is the remainder when a is divided by 4?
1
Suppose -2*u - 505 = -5*u + 11*r, -r - 195 = -u. Calculate the remainder when u is divided by (212/(-6))/(4/(-6)).
46
Let i = -3719 - -3783. Calculate the remainder when 453 is divided by i.
5
Suppose -4*s = -2*a - 5*s + 100, 0 = -5*a - 3*s + 251. Calculate the remainder when 100 is divided by a.
2
Let m(i) be the third derivative of -i**4/12 + 13*i**3/3 + 15*i**2. Let p be m(11). Let y(r) = 32*r - 39. What is the remainder when y(p) is divided by 26?
11
Let y be 92*(-3 - ((-93)/12 - -4)). Let l = 115 + y. What is the remainder when l is divided by 37?
36
Let p = -5504 + 7165. Calculate the remainder when p is divided by 88.
77
What is the remainder when 3225 is divided by (-338)/(-507)*-2*(-159)/4?
45
Let r = 7519 - 7459. What is the remainder when r is divided by (1/(-2))/((-3)/12)?
0
Suppose -4*u + 2644 = -4*n, -2*u + n = -3*u + 659. Suppose 0 = g, 2*t + 2*t - 5*g - u = 0. What is the remainder when t is divided by 