t r = 2455 - 2442. Calculate the remainder when 155 is divided by r.
12
Let v = -31 + 54. Calculate the remainder when 18485/45 + 5 + (-430)/90 is divided by v.
20
Let r(a) = -49*a - 192. Calculate the remainder when r(-7) is divided by 168/(-16)*(-16)/7.
7
Let g = 109 - 98. Suppose 13*i - 36 = g*i. Let a(u) = -u**2 - 6*u - 3. What is the remainder when i is divided by a(-4)?
3
Suppose 3005*d + 3638 + 2362 = 3045*d. Calculate the remainder when 1344 is divided by d.
144
Suppose -1167 = 10*g - 12*g + 5*a, 5*a + 591 = g. Calculate the remainder when g is divided by 118.
104
Let c(l) = -47*l + 462. Let i(m) = -31*m + 308. Let k(j) = 5*c(j) - 8*i(j). What is the remainder when 112 is divided by k(15)?
30
Let m(s) = 135*s**2 + 4*s + 4. Let x = 101 - 102. Let n be m(x). Suppose 7*f - n = 2*f. Calculate the remainder when 133 is divided by f.
25
Suppose -3*y - 310 = -3*s - 76, 3*y - 5*s = -230. Calculate the remainder when ((-975)/(-5))/(-13)*-1 is divided by (3/(-2))/(15/y).
7
Suppose 0 = 40*v - 410 - 1510. What is the remainder when (-6)/9 - (-5604)/9 is divided by v?
46
Let w(b) = b**3 + 12*b**2 + 21*b + 32. Calculate the remainder when 282 is divided by w(-10).
18
Let r(f) = 27*f - 79. What is the remainder when r(59) is divided by 101?
100
Suppose 2*p - 5*f = 42 - 9, 4*p - 5*f = 81. Suppose -c + p = 2*c. Suppose 6909 = -1609*d - 4443 + 42729 + 31374. What is the remainder when d is divided by c?
7
Suppose -3*i = 5*h - 300, -240 = -4*h + i - 0*i. Let o(b) = -b**3 + 9*b**2 - 16*b + 9. Calculate the remainder when h is divided by o(4).
10
Suppose -12898 + 53356 = 789*t - 176*t. Let z = -15 - -39. Calculate the remainder when t is divided by z.
18
Suppose 0 = -3*p + p + 4. Suppose -26 = -2*k - 4*w, 2 = 6*k - 2*k - 2*w. Suppose -p*v - 5 = k*v, -26 = -h + v. Calculate the remainder when 74 is divided by h.
24
Let v(w) = w**2 - 13*w + 43. Let n be (-5*16/40)/((-4)/26). Suppose 0*p - 24 = -2*p. What is the remainder when v(n) is divided by p?
7
Suppose -2*g + 5 = 3*v, -20*v + 18*v + 14 = -4*g. What is the remainder when v is divided by 3?
0
Suppose -4089 = -2*x + 5*d, 8 + 7 = -5*d. Calculate the remainder when x is divided by 17.
14
Let y be ((-2)/(-12) - 1/6)/1. Suppose -d + 12 + 13 = y. Suppose 115 = 3*a - 104. Calculate the remainder when a is divided by d.
23
Suppose -2*t - 10 = 0, 5*u - 5*t - 24 + 9 = 0. Calculate the remainder when 152 is divided by u/(-6) + (-5544)/(-216).
22
Suppose 94 = -r + 105. Suppose 10*i = 5*i + 270. What is the remainder when i is divided by r?
10
Let o = -8 - -7. Let i = o - -4. Suppose 229 - 1381 = -64*q. Calculate the remainder when q is divided by i.
0
Suppose 0 = -5*j - 5*h + 2065, -16*h - 1653 = -4*j - 19*h. What is the remainder when j is divided by (22/(-55))/((-2)/130)?
24
Let s = -5344 - -5496. Calculate the remainder when s is divided by 62.
28
Let u(w) = w**2 - 38*w + 218. Suppose -c + 31 = 5*v, 5*c + 27 = v - 0*c. Calculate the remainder when (0 - (-1)/2)*4 is divided by u(v).
0
Let g = -16794 + 16806. Calculate the remainder when 210 is divided by g.
6
Suppose 14*t + 19*t - 5832 = -3*t. What is the remainder when 325 is divided by t?
1
Let y = -2783 - -2830. What is the remainder when 746 is divided by y?
41
Suppose -34*o + 33390 = 8*o. What is the remainder when o is divided by 19?
16
Let c be ((-4)/5)/((-52)/(-13910)). Let w = c + 312. What is the remainder when w is divided by 15?
8
Let w be 469*(-1 - (-54)/42). Suppose -5*j - s = -w, -5*s + 7*s + 2 = 0. Calculate the remainder when 79 is divided by j.
25
What is the remainder when 6/(3 - 0)*35 is divided by 81/4 + -15 + (-378)/(-24)?
7
Suppose -701 = -3*i - 2*a - 0*a, -4*a - 1139 = -5*i. Suppose -4*s - 4*d = -0*d - 88, 4*d - 112 = -5*s. What is the remainder when i is divided by s?
15
Calculate the remainder when 19 is divided by (3/(-12))/((-68)/272).
0
Suppose 24987 = 3*y + r, -2858 = -y + 2*r + 5457. Calculate the remainder when y is divided by 35.
32
Let y(h) = h**3 - 4*h**2 + 6*h - 5. Let t be (9/3)/(6/8). What is the remainder when ((-5)/((-5)/(-37)))/(-1) is divided by y(t)?
18
Let d be 8/(-52) + ((-4405)/13 - 3). Let f = -329 - d. Calculate the remainder when 50 is divided by f.
11
Let o = 93 + 1208. Suppose -o - 689 = -5*d. What is the remainder when d is divided by 20?
18
Let g(j) = 30*j + 2201. Calculate the remainder when g(-53) is divided by 120.
11
Suppose 0 = 104*m - 100*m + 3*r - 100, 0 = -4*m + 2*r + 100. Calculate the remainder when 263 is divided by m.
13
Suppose -244 + 244 = -5*d. Suppose d = -51*j + 39*j + 96. Calculate the remainder when 2/(-4) - (-1807)/26 is divided by j.
5
Let b = 1290 + -862. Suppose 10*n - 792 = b. Let c = 29 + -4. What is the remainder when n is divided by c?
22
Suppose -y - 26 = -3*l, -5*l + 4*y + 48 = -l. Calculate the remainder when l is divided by 270/3780 + (-69)/(-14).
2
Let x = -417 - -419. Suppose -344 = -p - 11*u + 12*u, -4*p - x*u = -1400. What is the remainder when p is divided by 27?
24
What is the remainder when 24/(-396) + (-533455)/(-165) is divided by 6?
5
Let w = 8 + 32. Calculate the remainder when (-5)/(-25) - (-438)/10 is divided by (54/45)/((42/w)/7).
4
Suppose 2*h + 0*h + 2*j - 94 = 0, 0 = -h + j + 41. Let f = 4035 + -3068. What is the remainder when f is divided by h?
43
Let o(t) = -187*t - 8541. Calculate the remainder when o(-70) is divided by 26.
25
Let y = -5373 - -5390. Calculate the remainder when 348 is divided by y.
8
Let a(x) be the third derivative of 9*x**4/8 - 3*x**3 - 32*x**2 + 2. Suppose 5*i = 5*p - 10, 7*i - 9 = 4*i. Calculate the remainder when a(1) is divided by p.
4
Let n(p) = 114*p + 2857. What is the remainder when 158 is divided by n(-25)?
4
Let v be -530 + (-286)/(-66) + (-2)/6. Let t = -403 - v. What is the remainder when t is divided by 31?
30
Let m = -70 - -104. Calculate the remainder when 166 is divided by (m/(-51))/(2/(-102)).
30
Let u(s) = -s**3 - 7*s**2 - 5*s + 28. Let l be u(-5). Suppose -4*o - 5*y = -55, -l*o = -11*y + 12*y - 55. What is the remainder when 73 is divided by o?
13
Suppose -k = -5*o + 89, 5*o - 3*k + 14 = 101. Suppose -o*y + 19*y - 12 = d, 0 = 3*y + 3*d - 66. Calculate the remainder when 97 is divided by y.
12
Let m = 84 - -6. Suppose 0 = -38*i + 45*i - 5586. Let t = i + -767. What is the remainder when m is divided by t?
28
Suppose 4*p - 2*b = -b + 239, -307 = -5*p + 4*b. Let v = p - -53. What is the remainder when v is divided by 23?
20
Suppose 0 = 6*w - w - 25, -h - 2*w = -248. Suppose 87 = 5*t - h. Let a(u) = 14*u**2 + 49*u - 11. Calculate the remainder when t is divided by a(-4).
14
Let f = -6839 - -6986. Calculate the remainder when 4994 is divided by f.
143
Suppose 2*w + 15 = 3*i, -4*i = 2*w - 2 - 4. Let v = -68 - w. Let u = v - -83. Calculate the remainder when 87 is divided by u.
15
Suppose 0 = -48*t - 465 + 993. Calculate the remainder when 1328 is divided by t.
8
Let x = 12 + -7. Let g = 8 - x. Calculate the remainder when g is divided by 715/845 - 4/(-26).
0
Let k = 2037 + -1986. Calculate the remainder when 106 is divided by k.
4
What is the remainder when 44/374 - (-848620)/170 is divided by 294?
288
Let s = -3153 - -3165. What is the remainder when 774 is divided by s?
6
Suppose 68 = 3*g - 0*g - u, 22 = 2*g + 4*u. What is the remainder when 602 is divided by g?
14
Let v(o) = 8*o**2 - 90*o - 272. What is the remainder when 264 is divided by v(-3)?
54
Suppose -o = -3*l + 229, -162 = -2*l + o + 2*o. Suppose 4*n + 4*h + 388 = 48, n + 73 = 2*h. Let m = n + 92. What is the remainder when l is divided by m?
9
Let p = -300 + 345. Suppose -p*w - 4 = -47*w. What is the remainder when 2 is divided by w?
0
Suppose -4*f + 7*f - 111 = 0. Let d = 357 + -352. Suppose -3*s = d*v - 74, 0 = -2*v + 4*v + s - 29. What is the remainder when f is divided by v?
11
Let k = 304 - 289. Suppose -k*q + 5*q + 1160 = 0. What is the remainder when q is divided by 20?
16
Let p(x) = x**2 + 5*x - 4. Suppose -17*r = -18*r - 38. Calculate the remainder when -1 - (-1)/2 - r/4 is divided by p(-6).
1
Let a = 250 + -157. Suppose 73 = -5*g + a. What is the remainder when 13 is divided by g?
1
Let a = -835 + 978. Suppose -2*p + 13*p = a. Calculate the remainder when 20 is divided by p.
7
Let c be 288/(-20)*(-70)/42. Suppose 21*x + 6 = c*x, 2*x = -n + 134. What is t