 t = -6625 + 6685. Calculate the remainder when 220 is divided by t.
40
Let w be 6/4 + 30/12. Suppose -w*b + 40 = p, -10*p + 11*p - 22 = -2*b. Let y = b - -18. What is the remainder when y is divided by 10?
7
Let h = -2 - -6. Suppose 2*g + 3*g + 179 = -h*l, 211 = -5*l - 2*g. Let f = 86 + l. What is the remainder when f is divided by 16?
13
Let x = 2522 + -2419. Suppose 5 = 3*u - 58. Calculate the remainder when x is divided by u.
19
Suppose 6*l + 156 = 486. Suppose 3*a + 3*o = o + 8, 4*a = 2*o + 6. Calculate the remainder when l is divided by 1 - (2 + a - 31).
27
Let c = -6204 - -6437. What is the remainder when c is divided by 35?
23
Calculate the remainder when (-35)/30 - 1976/(-48) is divided by 10.
0
Let b(f) = -301*f + 1006. What is the remainder when 307 is divided by b(3)?
101
Let r = 17 + 43. Let x = 251 + -971. Let u = -688 - x. Calculate the remainder when r is divided by u.
28
Suppose -24*h - 55*h = -9234 - 2932. What is the remainder when 803 is divided by h?
33
Let k(n) = -n**3 + 15*n**2 + 13*n + 28. Let w be (-63)/(-4) + (-18)/(-72). Let m be k(w). What is the remainder when 131 is divided by 2*(-25)/m*18?
41
Let i = -482 + 1054. Let z = i + -540. Calculate the remainder when z is divided by 28.
4
Let u = 144 - 44. What is the remainder when u is divided by (-370)/925 + 396/15?
22
Suppose 0 = 2*w - 1101 - 11. Suppose 0 = 4*o - 4*j - w, -2*j - 50 = -o + 93. Calculate the remainder when 15765/o - (-4)/18 is divided by 30.
27
Let p(v) = -6*v**2 + 89*v - 78. Calculate the remainder when p(12) is divided by 23.
11
Let w(i) = -i - 1. Suppose g - b = 66 - 51, -5*g - 3*b = -43. Calculate the remainder when g is divided by w(-3).
1
Let s(b) = b**3 - 9*b - 50. Let d(o) = o**3 + 5*o**2 + 8. Let r be d(-5). Calculate the remainder when s(r) is divided by 79.
74
Let a(t) = 6*t + 5. Suppose 3*c = -4*u - 37, 4*c - 23 = 5*u - 0*u. Let y(h) = -h**3 - 6*h**2 + h - 18. What is the remainder when a(5) is divided by y(u)?
11
Let v(y) be the first derivative of 3/2*y**2 - y**3 + 0*y + 1/4*y**4 + 3. What is the remainder when 35 is divided by v(3)?
8
Suppose -30*m - 3*a + 77 = -25*m, -2*a - 31 = -3*m. What is the remainder when m is divided by 9?
4
Suppose 36*n - 337 = 383. Calculate the remainder when 44 is divided by n.
4
Let d(a) = 44*a + 2. What is the remainder when d(7) is divided by 9 + (-20)/14 + 642/1498?
6
Let h = 38 + -36. Let r be -7 + 14 - 2 - (2 + 1). Suppose 14 = h*c - r. What is the remainder when 29 is divided by c?
5
Let h = 1 + 3. Let g(z) = -7*z**2 - 77*z - 208. Let p be g(-5). Suppose -v = p*r + r - 15, -17 = -v - h*r. Calculate the remainder when 43 is divided by v.
7
Let n(s) = -158*s + 506. Suppose 0*t - 6 = 2*t, 3*i - 2*t - 288 = 0. What is the remainder when i is divided by n(3)?
30
Suppose -t + 5 + 6 = 0. Suppose t*n = -10*n + 231. Calculate the remainder when 43 is divided by n.
10
Let u be 9*14 - (-5 + 8). Let b = -31 + u. Suppose 5*x + b = 9*x. What is the remainder when 45 is divided by x?
22
Let p be ((-1029)/(-14))/((-6)/16). Let k = -60 - p. Let z(f) = 3*f**2 - 117*f - 74. Calculate the remainder when k is divided by z(40).
44
Let i(f) = 82*f**2 - 6*f - 3. Let l be i(5). Suppose -427 + l = 2*u. Calculate the remainder when (-3 + 2)/((-2 + -3)/u) is divided by 54.
51
Let o(f) = -2*f**2 - 21*f - 25. Calculate the remainder when 959 is divided by o(-8).
14
Suppose 0 = -9*s + 14950 + 4391. What is the remainder when s is divided by 196?
189
Suppose q - 407 = -q - o, 3*o + 1045 = 5*q. Suppose 126 = 4*h - q. Suppose 5*y = 6*y - 3*f - 11 - 45, -f = 9. Calculate the remainder when h is divided by y.
25
Suppose -5*g - 14*m + 29 = -17*m, 0 = 5*g - 5*m - 25. Let q(l) = 2*l**3 - 10*l**2 - 19. What is the remainder when q(g) is divided by 20?
17
Suppose 0 = -4*u - c + 118, 21 = 3*u + c - 67. What is the remainder when 45 is divided by 5/3*216/u?
9
Suppose 2*c = -4*k + 56, 4*c = -k + c + 4. Suppose 16*a = 10048 + 27392. Suppose 56*g - 17*g - a = 0. What is the remainder when g is divided by k?
12
Suppose 0*g = 2*y - 3*g - 142, -5*y = -3*g - 346. Let v = 217882 + -217813. What is the remainder when v is divided by y?
1
Let m = -21 + 74. Let i be 2/(-16) - (-13 + 8708/(-32)). Suppose 333 = 6*n + i. Calculate the remainder when m is divided by n.
5
Suppose -90*m + 60*m = -65*m + 10780. What is the remainder when 616 is divided by m?
0
Suppose -5*g + 591 = -1924. Suppose 24*s - g - 841 = 0. Calculate the remainder when 332 is divided by s.
52
Suppose 7*l - 35 = 12*l. Let b(s) = -4*s + 9. Let t be b(l). What is the remainder when (t/2)/(9/18) is divided by 10?
7
Let q be 5/(-4 + 9)*-135. Let g be 2*(q/10)/1. Let a = g + 40. Calculate the remainder when 36 is divided by a.
10
Let u = 2998 + -1906. Calculate the remainder when u is divided by 179.
18
Let n = 63 + 238. Let q = -282 + n. Let l(u) = -5*u**3 - u**2 + 3*u - 4. What is the remainder when l(-3) is divided by q?
18
Let b(x) = x**3 - 6*x**2 + 4*x + 3. Let u be b(5). Calculate the remainder when 207 is divided by (-1 - 1) + u + 46.
39
Suppose 308*a = 312*a - 32, 3*a = -5*k + 84. Let i be (1 - -6) + (-2)/2. Let z(x) = 15*x - 7. Calculate the remainder when z(i) is divided by k.
11
Suppose 4*m - 112 + 24 = 0. Calculate the remainder when ((-144)/(-30))/(3*2/80) is divided by m.
20
Let l(q) = -2*q**3 + 6*q**2 - 2*q - 2. Let b be l(1). Suppose -20 = 4*r, b = -4*u - 7*r + 5*r + 742. What is the remainder when u is divided by 64?
60
Suppose 24 = 13*b - 15. Suppose 4*o + o - b*v - 428 = 0, 3*v = -2*o + 167. Calculate the remainder when o is divided by 29.
27
Let k(s) = -32*s**3 - 2*s**2 + 3*s - 2. Let o be k(1). Let g = -15 - o. Calculate the remainder when 56 is divided by 352/g + (-4)/(-9).
16
Let q = -3166 + 3212. Let m(y) = y**2 + 9*y - 7. Let r be m(-8). What is the remainder when q is divided by 1/3 + (-175)/r?
10
Let w(u) = 3*u**3 - 2*u**2 - 2*u + 1. Let j = -366 + 356. Let l(m) = m**3 + 11*m**2 + 5*m - 12. What is the remainder when l(j) is divided by w(2)?
12
Let m(a) = 2*a**2 + 22*a + 3. What is the remainder when m(12) is divided by 4?
3
Suppose 0 = 168*g - 10499 - 15709. Calculate the remainder when g is divided by ((-14)/(-6))/(2/42).
9
Let c = -10683 + 10699. What is the remainder when 62 is divided by c?
14
Let u(p) = 234*p + 12. Let r be u(1). Let f = r - 222. What is the remainder when 83 is divided by f?
11
Suppose -14 = -4*n - 2*o, -o = -5*n + n + 23. Suppose -5*b + 2*k + 981 = 245, -4*b + 4*k + 584 = 0. Calculate the remainder when b is divided by n.
3
Let h = 8547 + -7146. Calculate the remainder when h is divided by 38.
33
Let d be 9/((-54)/(-6)) + -1. Let v(m) = m**3 - 3*m**2 - m + 44. What is the remainder when v(d) is divided by 12?
8
Suppose 2955*c + 22 + 69 = 2968*c. Calculate the remainder when 1322 is divided by c.
6
Let m = -17355 + 21339. Calculate the remainder when m is divided by 21.
15
Suppose 2*g + 0*x + 4 = 3*x, -5*g = 4*x + 10. Suppose 350 - 231 = 17*o. Calculate the remainder when (50/(-15))/(g/6) is divided by o.
3
Let z = -651 - -676. Suppose a = 2*s - 0 - z, -5 = -5*a. Calculate the remainder when 57 is divided by s.
5
Let w = -6307 - -8476. What is the remainder when 2171 is divided by w?
2
Suppose -484571 - 103786 = -264*i - 114477. Calculate the remainder when 1809 is divided by i.
14
Calculate the remainder when ((-2342)/(-18) - 0) + (-216)/1944 is divided by 22.
20
Suppose 930*j - 925*j + 2*y - 205 = 0, -j - 3*y + 54 = 0. What is the remainder when 11501 is divided by j?
35
Suppose -5*n - 108 = -598. Suppose 4*s = -r + 51, 4*s - n = -r - r. Let o = 62 - r. Calculate the remainder when o is divided by 6.
3
Let j be (-1)/((-8)/770) + (-1)/4. Let n = -94 + j. What is the remainder when 20 is divided by n/17 - (-100)/17?
2
Suppose -83*q + 402 = -89*q. Let x = -59 - q. Suppose -15 = -5*p + 2*p. Calculate the remainder when x is divided by p.
3
Suppose -3 = -2*g - 17. Let a be (-1)/((35/(-160))/g). Let u = -20 - a. Calculate the remainder when 23 is divided by u.
11
Suppose 5*w - 265 = -5*l, 2*l + 2*w - 118 = 4*w. Let y = -32 + -9. Let b = y + l. What is the remainder when 44 is divided by b?
14
Suppose -l = 4*q + 1, -2*l - 16*q + 3 = -13*q. Suppose 0 = -2*a - 4*m + 56, l*a - 77 = -0*a + m. What is the remainder when 129 is divided by a?
25
Sup