when i is divided by 19.
17
Let b = -202 - -252. Suppose -70 = -2*u + 2*o, 3*u - 2*o - 53 - b = 0. What is the remainder when u is divided by 19?
14
Suppose -15*l + 50 + 130 = 0. Let v = -20 - -34. What is the remainder when l/5*(483/14 + -7) is divided by v?
10
Let w = -2666 - -2685. Calculate the remainder when 1006 is divided by w.
18
What is the remainder when 2/(-17) + (-1153197)/(-1173) is divided by 141?
137
Let d(t) = -2*t**3 - 2*t**2 - 11*t - 223. What is the remainder when 2780 is divided by d(-5)?
28
Let g(q) = q**3 - 18*q**2 + 6*q + 518. What is the remainder when 713 is divided by g(16)?
101
Let t(j) = 2*j - 6. Let u be t(3). Suppose 4*k - 44 = -u*k. What is the remainder when 19 is divided by k?
8
Calculate the remainder when 364 + 5*(-1)/5 + -6 is divided by 61.
52
Calculate the remainder when 371 is divided by (-20)/(-6)*(-1020)/(-765)*(-63)/(-10).
7
Suppose 4*q - p = 712, 5*p = 773*q - 777*q + 688. Calculate the remainder when 2649 is divided by q.
171
Let g(r) = r**3 + 5*r**2 + 2*r + 14. Let i be g(-5). Suppose i*m + l - 653 = 2*l, -3 = 3*l. Calculate the remainder when m is divided by 5.
3
Let n(q) = 2*q**2 - 13*q - 63. Suppose -3*z = t - 27, 0*z + 19 = 2*z + t. Let o(u) = u**2 - 3*u + 4. What is the remainder when n(-7) is divided by o(z)?
38
Let v(w) = w**3 - 3. What is the remainder when (-990)/(-132)*(-258)/(-9) is divided by v(3)?
23
Let l(b) = -4*b - 33. Let d be l(-9). Calculate the remainder when ((-6)/(-36)*3)/(d/744) is divided by 18.
16
Suppose 38 = 3*h + 2*y - 0, -h + 5*y = -41. Suppose 11*k - 123 = 790. Suppose u + 65 = f, -5*f + k = 5*u - 212. What is the remainder when f is divided by h?
14
Let m be -30*((-4)/6 + -2 - -2). Let o be m/50 - (-4)/(-10). Suppose 10*s + 2 - 32 = o. Calculate the remainder when 17 is divided by s.
2
Let w(d) = -21*d. Suppose -1811 = 24*c - 25*c. Let n = c - 1799. Calculate the remainder when w(-1) is divided by n.
9
Suppose -31*g + 1245 = -28*g. Suppose 7*c = 3*c - 3*q + 1679, 4*q + g = c. Calculate the remainder when c is divided by 42.
41
Suppose 73*r - 9443 = -90*r - 2434. Suppose 2*q + 26 - 188 = 0. Calculate the remainder when q is divided by r.
38
Suppose -3*d = 0, -3*m - 60 = -7*m + 4*d. What is the remainder when 429 is divided by m?
9
Let k = 4555 - 4197. Calculate the remainder when k is divided by 33.
28
Let g(i) = -137*i + 121 - 144*i - 140*i + 415*i. Suppose 2*p = -3*z + 163, -5*z - 13 + 289 = -p. Calculate the remainder when z is divided by g(17).
17
Suppose -13*f = -9*f - 124. Suppose -6*y + 17 = -13. Suppose 0*r + 456 = 3*s - 3*r, -5*s - y*r = -780. Calculate the remainder when s is divided by f.
30
Let l = 182 - 116. Let h(b) = 2*b**2 - 4*b - 5. Let a be h(-4). Let n = a + -26. What is the remainder when l is divided by n?
15
Let r(g) = -g**2 + g + 63. Suppose j - 5*j = 0. Calculate the remainder when r(j) is divided by (1 - 0)/(160/1760).
8
Suppose 3*w = -3, -5*d + 0*w + 1194 = w. Suppose b + 3*x = -19, 74 = 2*b - 7*x - 18. What is the remainder when d is divided by b?
8
Suppose -8 = -20*r + 18*r. Suppose -s = -a - 19, -11 = r*s + 5*a - 51. Calculate the remainder when 56 is divided by s.
11
Suppose 2*z - 224 = -58. Calculate the remainder when z is divided by (-130)/(0 + -10) + 4/2.
8
Let l = 673 - 291. Let t be (l/4 - 7) + (-1)/2. Let i = -83 + t. Calculate the remainder when 11 is divided by i.
1
Suppose -891*n + 107841 = 30324. What is the remainder when n is divided by (-14)/(-1 + (-1 - 0))?
3
Let i(y) = 27*y + 107. What is the remainder when i(-2) is divided by 22?
9
Let k be -3 - 0 - 0 - 0. Let o be (k - 62/(-10))*-5. What is the remainder when 22 is divided by ((-45)/(-10))/((-6)/o)?
10
Let d(q) = q**3 - 100*q**2 + 106*q - 347. What is the remainder when d(99) is divided by 58?
56
Suppose 2*o - 138 = -44. Suppose -3*t + 2*r = -4622 + 4576, -2*t = -9*r - 23. What is the remainder when o is divided by t?
15
Let k = -197 + 35. Let i = k + 181. Calculate the remainder when 415 is divided by i.
16
Suppose -o = o + 98. Let r = -62 + 2. Let v = o - r. What is the remainder when 35 is divided by v?
2
Let t = -26 + 44. Let v be (94/10 - 7) + 2/(-5). Suppose 3*f - 2*a = 252, v*f + 3*a - 4*a = 169. Calculate the remainder when f is divided by t.
14
Let n(i) = 4*i**2 - 13*i - 13. Let u = -177 - -377. What is the remainder when u is divided by n(-2)?
26
Let a = -4870 + 4984. What is the remainder when a is divided by 67?
47
Let w = -46 + 178. Let h(r) = r**3 - 31*r**2 + 53*r + 150. Calculate the remainder when w is divided by h(29).
2
Let a be -16*(35/(-4))/7. Suppose a*o + 38 = 22*o. Suppose 5*f + 0*w + 3*w - 67 = 0, -f - 4*w = -27. What is the remainder when o is divided by f?
8
Let z(s) = 4*s**2 + 62*s + 47. Let j be z(-25). Suppose -301 = 12*d - j. What is the remainder when 173 is divided by d?
57
Let k(q) = 2*q**3 - 30*q**2 - 38*q - 123. What is the remainder when k(17) is divided by 80?
67
Suppose 6 = 4*v + 2*v. Suppose -2*t = -5 - v. Suppose -5*n = 8*p - t*p - 140, n + 5*p - 32 = 0. What is the remainder when n is divided by 15?
12
Suppose 0 = -3*o - 2*k - 34, 0 = 5*k - 2*k - 3. Let n(s) = -6*s - 14. Suppose -70 = -5*f - 10. What is the remainder when n(o) is divided by f?
10
Calculate the remainder when 15 is divided by 138/(-1449) + (-214)/(-42).
0
Let s be (-14)/6 - (-208)/48. Suppose 3*c + 91 = 4*a, 0 = s*a + c + 84 - 137. What is the remainder when a is divided by 1*(-2 + 1 - -14)?
12
Calculate the remainder when ((-182)/196 - 4/(-8)) + 6204/21 is divided by 2.
1
Let k = 1023 + -983. Calculate the remainder when 1793 is divided by k.
33
Let g(z) = -z + 15. Let a be g(12). Suppose 10*m - 1232 = a*m. Let d = m - 83. Calculate the remainder when d is divided by 19.
17
Let y(h) = h**3 - 8*h**2 + 2*h - 3. Suppose -12*t + 25*t = 572. Calculate the remainder when t is divided by y(8).
5
Let z be (-28)/7*1 - (-5 - 1). Suppose 1 = 3*o - z, 0 = -4*p - 2*o + 670. Calculate the remainder when p is divided by 57.
53
Let j = -776 - -263. Let k = j - -569. Calculate the remainder when 129 is divided by k.
17
Let q = 53 - -6. Suppose -q = -2*s + 5*f + 106, -3*f - 243 = -3*s. Suppose 73 = 4*m - 2*o + 7*o, 4*o - s = -5*m. What is the remainder when 33 is divided by m?
9
Let a(m) = -4*m**2 + 61*m - 11. Let f be a(15). Let o = -295 - -515. Suppose f*b + b = o. What is the remainder when b is divided by 15?
14
What is the remainder when 22 is divided by ((-2)/(-8) - -6) + (-8)/32?
4
Suppose -2*f + 4*g = -f - 61, -5*f - 2*g = -371. What is the remainder when 68 is divided by (f + -1)*13/39?
20
Suppose -677*i + 672*i + 505 = 5*a, 2*i = -4*a + 214. What is the remainder when i is divided by 54?
41
Let w(n) = -n**2 + 42. What is the remainder when ((-56)/10)/((-2)/10) is divided by w(-6)?
4
Let b(q) = -q**3 + 4*q**2 + 11*q + 8. Let x be (36/(-30))/(2/(-10)). Let d be b(x). What is the remainder when 24 is divided by ((-56)/(-10))/(24/10 - d)?
10
Suppose 19*h - 127 - 1988 = 963. What is the remainder when h is divided by 84?
78
Let l = -2845 - -3218. Calculate the remainder when l is divided by 29.
25
Let o = -739 - -784. Let k(u) = u**3 - 44*u**2 - 41*u - 155. Calculate the remainder when 65 is divided by k(o).
15
Let g = 210 + -163. Suppose -o + 2*k + g = 0, -10*k + 62 = o - 7*k. What is the remainder when o is divided by 18?
17
Suppose 55 + 58 = 4*x + 3*z, 5*x + 5*z = 145. Calculate the remainder when (-226)/(-6) - 14*15/315 is divided by x.
11
Suppose 5*l = -x + 1428 - 173, -4*l + 1004 = -3*x. Suppose -5*u + 13 - 828 = 0. Let w = u + l. What is the remainder when w is divided by 23?
19
Let a = -14624 + 22346. Suppose -12*n = -n - a. What is the remainder when 24 is divided by (2/(-3))/((-9)/(n/4))?
11
Let h(g) = 14*g**3 - 3*g + 3. Let v = -82 + 83. Calculate the remainder when 206 is divided by h(v).
10
Calculate the remainder when (0 + 20/(-2))*(-9911)/530*5 is divided by 24.
23
Suppose -6 = -2*x - 2*x - 3*k, -5*x - 5*k = -5. Suppose x*p + 37 = -47. What is the remainder when 27 is divided by (-1 + 3/(-6))/(6/p)?
6
Suppose a - 3050 = -4*a - 2*o, o = -2*a + 1220. Suppose 0 = -5*z - 4*w + 271 + a, 4*z - 3*w - 711 = 0. What is the remainder when z is divided by 19?
6
Suppose -42*w - 6 = -41*w, 4*j - 5*w - 546 = 0. What is the remainder when j is divided by 27?
21
Let w(j) = j