 the remainder when 283 is divided by (-1600)/(-38) - (-13)/((-2470)/20).
31
Suppose 3*w - 60 - 86 = -4*s, -5*s - 5*w = -180. Calculate the remainder when 108 is divided by s.
32
Suppose 0 = -4*h + 4*m - m + 40, 5*h - 50 = -5*m. Let r = -4 + h. Suppose -4*o + 41 = 3*l, o = -l - 2*o + 17. What is the remainder when l is divided by r?
5
Suppose 3*a + 69 = 2*o, 2*o + 2*o = 4*a + 136. Suppose 31*r + 22 = o*r. What is the remainder when 53 is divided by r?
9
Let i = -184 + 207. What is the remainder when 58 is divided by i?
12
Let x(j) = j**2 + 2*j - 10. Let l be x(11). Suppose 4*t - 107 = 3*y, 3*y + y = 5*t - l. Suppose -4*g + 7 = -t. What is the remainder when 26 is divided by g?
8
Suppose -4*y = -5*w - 85, 2*w - 20 = 10*y - 12*y. Suppose 0*v - 4*v = -168. Calculate the remainder when v is divided by y.
12
Suppose 3*d - 837 = -4*u, 4*u - 108 = 3*d + 711. What is the remainder when u is divided by 106?
101
Suppose s + w - 26 = 0, 0 = -3*s - 2*w + 114 - 39. Let q(d) = 25*d + 253. Let m be q(-11). Let h = s + m. Calculate the remainder when h is divided by 1.
0
Suppose -m = 4*y - 142, -5*y = 6*m - 3*m - 426. Calculate the remainder when m is divided by 21.
16
Let c(z) be the first derivative of -5*z**2 - z - 11. Let m = 7 - 2. What is the remainder when c(-1) is divided by m?
4
Let m(j) = 6*j**2 - 3*j + 1. Let r(f) = -f**3 - 25*f**2 - 173*f - 208. What is the remainder when m(3) is divided by r(-13)?
7
Suppose -3*n = -10*n + 1792. What is the remainder when n is divided by 13?
9
Let o(u) = -u**2 + 7*u - 24. Let n be o(6). Calculate the remainder when 1 is divided by (-6)/(-4)*n/(-27).
0
Let f = 3 + -1. Let j = -226 + 232. What is the remainder when j is divided by f?
0
Let q = 13 + -8. Suppose 3*k - 3*g = 4*k - 28, 5*k = -q*g + 90. Let d = 241 + -191. Calculate the remainder when d is divided by k.
11
Suppose -98 = -4*v - 38. Suppose -2*x - v = 7. Calculate the remainder when (-2)/x - (-3836)/77 is divided by 17.
16
Suppose -3*x - 1344 = -15*x. What is the remainder when x is divided by 15?
7
Suppose -10*v = -5*v - 15. Suppose -v*p + 76 = 2*i, 0 = 2*p - 0*i + 2*i - 50. Let t(n) = -n + 15. Calculate the remainder when p is divided by t(6).
8
Suppose -80 = -4*c + x, -2 + 66 = 4*c + 3*x. What is the remainder when 84 is divided by c?
8
Let y be (-424)/10 + 4/10. Let c be 406/y - (-4)/6. Calculate the remainder when (-10)/(2 - c/(-4)) is divided by 7.
5
Let v be 18/5*5/3. Suppose -11 = v*t - 29. Calculate the remainder when 5 is divided by t.
2
Let m(w) = w**3 + 7*w**2 + 5*w + 4. Let z be m(-3). Let i be (6/(-10))/((-5)/z). Suppose -7*q + 44 = -i*q. Calculate the remainder when 17 is divided by q.
6
Let s(h) = h**2 + 4*h + 2. Let m(y) = 21*y + 4. Let u(j) = -j**3 + 2*j**2 + 5*j - 5. Let p be u(3). What is the remainder when m(p) is divided by s(-5)?
4
Let f(v) = 123*v + 2991. Suppose -u + 6*u = 0. Suppose u = 2*t - 4*o, -4*o + 113 = 5*t + 43. Calculate the remainder when f(-24) is divided by t.
9
Let a(x) = -x + 5. Let z be a(5). Let y be 6 + z - (2 + -3). Suppose 3*n - y*n = -40. Calculate the remainder when 25 is divided by n.
5
Suppose 0 = -2*t + 4*l + 2 + 6, 0 = 5*t - 5*l - 25. Suppose 10*a - 376 = t*a. Calculate the remainder when a is divided by 16.
14
Suppose -33 = -2*y + 3*s, 2*s = 5*y - 65 - 45. Let r be 1 + 2 - (4 - 6). Suppose -102 = r*j - 692. Calculate the remainder when j is divided by y.
22
Let k be 0/(2/2*2). Let f(u) = u**2 + 4. Let z = -17 + 23. What is the remainder when z is divided by f(k)?
2
Let t be ((-96)/15 + 6)/(2/30). What is the remainder when (9 - 0)*(4 + t)*-1 is divided by 5?
3
Let j(u) = -4*u - 8. Let m be j(-3). Suppose 0 = -h + m*z + 26, -4*z + 68 = 4*h + 4. Suppose -42 = -r + 27. Calculate the remainder when r is divided by h.
15
Let y = -95 - -149. What is the remainder when y is divided by 19?
16
Let u be 10/15*(2 - 5). What is the remainder when 249 is divided by -25*((-1)/(-1) + u)?
24
Suppose -32*l = -356 - 412. Calculate the remainder when 69 is divided by l.
21
Suppose -2 = 3*c - 35. Calculate the remainder when 18 is divided by c.
7
Suppose 814 + 551 = 21*k. Calculate the remainder when k is divided by 29.
7
Let k(m) = -2*m - 24. Let j be k(-13). What is the remainder when j/(-6) - (-115)/3 is divided by (-40)/(-4) + (1 - 1)?
8
Suppose -1551*d + 91 = -1544*d. What is the remainder when 1143 is divided by d?
12
Suppose -8 = 9*h - 11*h. Suppose 0 = -4*f - 4*l + 40, 44 = 3*f - h*l - 0. What is the remainder when 54 is divided by f?
6
Suppose 17*t - 416 = -15*t. What is the remainder when 115 is divided by t?
11
Let g be (-4)/((-8)/10) + 0. Suppose -209 = g*r - 499. Suppose -6*k = -8*k + 30. What is the remainder when r is divided by k?
13
Let r = 9 + -1. What is the remainder when 92 is divided by r?
4
Suppose 3*p = -6*k + 768, -2*p - 3*k + 860 = 344. Calculate the remainder when p is divided by 120.
24
What is the remainder when (3 - 7 - 155/(-10))*14 is divided by 15?
11
Suppose -64 = -2*k - 4*z, -k = 4*k - 5*z - 190. Suppose 5*l - 534 = -2*v, l + 3*v = 97 + 15. Calculate the remainder when l is divided by k.
34
Let x(l) = 188*l - 11. Calculate the remainder when x(1) is divided by 37.
29
Let t = -3 + 15. Let f(d) = 4*d**2 + 2*d - 11. Calculate the remainder when f(-4) is divided by t.
9
Let y be (-340)/3*6/(-4). Suppose 5*u + y = 2*z + 18, 0 = 5*z - u - 380. Suppose -39*m + 244 = -536. What is the remainder when z is divided by m?
16
Let p = 137 + -118. Calculate the remainder when p is divided by 12.
7
Calculate the remainder when 1*-3*529/(-69) is divided by 8.
7
Let d(f) = -f - 5*f - 13 - 7*f + 0*f - f**2. What is the remainder when 17 is divided by d(-11)?
8
What is the remainder when 143 is divided by 1/(-17) + 62524/833?
68
Let d be (-2)/((-4)/8*2). Suppose 2*t = -5*p + 369, -d*t + 396 = -3*p - p. What is the remainder when t is divided by 39?
36
Suppose 1035 = 14*w - 9*w. Let z = w + -139. Suppose 4*c + z = 2*o - 38, -4*c + 199 = 3*o. What is the remainder when o is divided by 16?
13
Suppose -15*o - 118 = -17*o. Let n = o + 18. Calculate the remainder when n is divided by 16.
13
Let k(j) = -j**3 + 8*j**2 - 6*j + 4. Calculate the remainder when k(7) is divided by 3.
2
Let q(t) = 7*t**2 - 8*t - 9. Let r be q(-4). Suppose r = -5*b + 10*b. What is the remainder when 74 is divided by b?
20
Let x(v) = -v + 21. Let s be x(10). Let l = s + -4. Calculate the remainder when 18 is divided by l.
4
Let c(q) = 8*q**2 + 46*q + 24. What is the remainder when c(-7) is divided by 18?
4
Let b be -3 + (3 - (3 - 5)). Suppose b*r = -r + 12. Suppose -5*h = 3*k + 19, 4*k - 13 = -0*h + h. What is the remainder when r is divided by k?
0
Suppose -4*w + 3*w = -4*g + 11, -4*g + 2*w = -14. Calculate the remainder when 13 is divided by 1 - (-2 - (5 + g))*1.
3
What is the remainder when 45 is divided by (-16)/6*42/(-7)?
13
Let u = 401 + -201. Calculate the remainder when u is divided by 59.
23
Let i = 20 + -15. Suppose 0*b - 10 = -i*b. Suppose 14 = 3*l - g - g, 6 = b*l - 2*g. Calculate the remainder when l is divided by 5.
3
Let m = 437 - 342. What is the remainder when m is divided by 20?
15
Suppose 5*n - 26*w = -29*w + 560, -4*n - 2*w = -448. Calculate the remainder when 541 is divided by n.
93
Suppose 25*t - 28*t = -6. Suppose 8*w = 10*w - t. Calculate the remainder when w is divided by 1.
0
Let b(x) = -6*x**3 - 3*x**2 + 2*x + 3. Suppose -4*w - 5 - 7 = 0. Let l be b(w). Calculate the remainder when 26 is divided by l/18 - 1/3.
5
Suppose -5*c = -3*m - 475, 2*c + m - 380 = -2*c. Let w(y) = 3*y**3 + 2*y - 4. What is the remainder when c is divided by w(2)?
23
Let d = 847 - 761. Calculate the remainder when d is divided by 81.
5
Let q = 21 - 10. Let w = -73 + 76. What is the remainder when q is divided by w?
2
Suppose -2 + 14 = 2*o. Let x = -421 - -478. Calculate the remainder when x is divided by o.
3
Suppose -2 + 8 = 3*g. Suppose 3*s + g*f - 36 = -f, 2*f = -3*s + 32. Calculate the remainder when 31 is divided by s.
7
Let w = 1703 + -1663. Let a(v) = -118*v**3 + 2*v**2 - 1. Calculate the remainder when a(-1) is divided by w.
39
Suppose -3*n = -x - 4 - 15, -n = -2*x - 8. Suppose -44 = -n*k + 4. What is the remainder when k is divided by 5?
3
Let s = -36 - -39. Suppose s*v - 60 = -5*i, -2*v - 48 = -4*i + 3*v. Suppose o - 76 = 2*h - 