 the remainder when i is divided by 48.
46
Let x be 312/22 - (-3 + 105/33). Let r(f) = -f + 8. Calculate the remainder when r(4) is divided by ((-24)/(-126)*-3)/((-4)/x).
0
Let d = -3885 - -3904. What is the remainder when (-8)/(-20) - (-263)/5 is divided by d?
15
Suppose -r + 10*g = 6*g - 287, 3*g - 921 = -3*r. What is the remainder when r is divided by 97?
12
Suppose -3*j - 146 = -j - l, -3*l + 296 = -4*j. Let q = 75 + j. Calculate the remainder when 14 is divided by (24/(-20))/(q/(-30)).
5
Suppose 2*g - 42 = -2*i, 3*i - 2*g = 24 + 74. Let w = 19 - 1. What is the remainder when i is divided by w?
10
Let l = 2940 - 2915. What is the remainder when l is divided by 25?
0
Suppose -915*f - 2523 = -5*g - 906*f, -3*g - f = -1501. Let l = 90 + -48. Calculate the remainder when g is divided by l.
39
Let n be (-3)/((-21)/(-14) - 3). Suppose 2*g + g + w = 117, 212 = 5*g - 4*w. Suppose g*p = 38*p + n. What is the remainder when 1 is divided by p?
0
Suppose o = 62 - 21. Let u = o + -17. What is the remainder when (3 + (-15)/3)*-35 is divided by u?
22
Let t = -4 - -9. Let r(b) = b**3 + 274*b**2 + 4609*b + 290. Calculate the remainder when r(-256) is divided by t.
4
Let h = -31 - -106. Calculate the remainder when (-3 + 927)/4 - 6 - 1 is divided by h.
74
Suppose 0 = 14*k - 170 + 86. Let q be 8*((-846)/(-8))/3. Calculate the remainder when (k/4)/(-3 - (-855)/q) is divided by 17.
13
Suppose 3*o - 138 = -3*l, 5*l + 4*o - 422 + 197 = 0. What is the remainder when 3771 is divided by l?
40
Let x = -6483 + 6502. Calculate the remainder when 1612 is divided by x.
16
Let u(s) = -13*s**2 - 4*s - 11. Let o(y) = y**3 - 37*y**2 - 11*y - 34. Let k(t) = 2*o(t) - 7*u(t). What is the remainder when 64 is divided by k(-8)?
14
Let n be (-56)/(-140) + (12/15)/(-2). Let o be 0*(-2 + (-5)/(-3)). Suppose n = -d - o*d + 68. Calculate the remainder when d is divided by 14.
12
Suppose 0 = -43*h - 17 + 60. Calculate the remainder when 396 is divided by 287/(-41) - (h - 28).
16
Let i(w) = w**3 + 14*w**2 + 39*w - 44. What is the remainder when i(-8) is divided by 18?
10
Suppose 17*m + 36 = 5*m + 9048. Calculate the remainder when m is divided by 94.
93
Let q be 1/(-3)*-3 - 2/2. Suppose 3*i - 2*i + 3 = -3*z, -2*i + 3*z + 12 = q. Calculate the remainder when 38 is divided by (-3)/(9/(-15)) + i.
6
Suppose -17*n - 25*n = -3927 - 7287. Let o(d) = d**3 - 8*d**2 + 10. What is the remainder when n is divided by o(8)?
7
Suppose -356*x + 355*x + 3 = 0. Suppose 2*i = -x*m + 29 - 20, -4*i = -5*m + 15. What is the remainder when 45 is divided by m?
0
Let l = -8863 + 10250. What is the remainder when l is divided by 127?
117
Let h(x) = x**2 - 12*x - 23. Suppose 228 = 18*j - 1194. Calculate the remainder when j is divided by h(15).
13
Suppose -g - 6532 = -6610. What is the remainder when 381 is divided by g?
69
Suppose -6*c = 2410 - 2476. Suppose -2*k = -4*h - 27 + 337, 5*h = -k + 370. What is the remainder when h is divided by c?
9
Let q(c) = 122*c**2 + 42*c - 43. Calculate the remainder when q(2) is divided by 99.
34
Let x(a) = a**2 - 7. Let q(g) = g - 5. Let v be q(10). Suppose 16*j + v = 15*j. Calculate the remainder when 48 is divided by x(j).
12
Let k(q) = q**2 + 68*q + 334. Calculate the remainder when 1936 is divided by k(-5).
17
Suppose -26*d = 21*d - 12011 - 38185. What is the remainder when d is divided by 212?
8
Let r(s) = -110*s + 696. Calculate the remainder when 140 is divided by r(6).
32
Suppose -2*n = 3*r - 95, 8*r - 2*n = 13*r - 157. Suppose -4*p = -4*v + 16, -r = -4*v - 5*p + 30. What is the remainder when 10/(-15) - (-125)/3 is divided by v?
5
Suppose -9*r - 261 = -4*f - 4*r, -2*f + 3*r = -133. Calculate the remainder when 1179 is divided by f.
58
Suppose 84*y - 9048 = -53*y + 33*y. Calculate the remainder when 260 is divided by y.
86
What is the remainder when 1898 is divided by (-227005)/(-1909) + 6/69?
113
Suppose -40*f - 56781 = -49*f. Suppose -f = -17*b + 3704. What is the remainder when b is divided by 74?
71
Let t = -291 + 294. Calculate the remainder when 1/t - (-4)/(12/65) is divided by 8.
6
Let s(t) = -16*t + 151. Let b be s(9). Suppose g + 358 = 3*g. Calculate the remainder when g is divided by (b + -6)*(-2 - (-21 - -1)).
17
What is the remainder when (27*(-3)/15)/((-236)/(-60) + -4) is divided by 60?
21
Let w(q) = -29*q**3 - q**2 + 3*q + 2. Suppose -49*x = -68 - 2186. Calculate the remainder when x is divided by w(-1).
19
Let s = 8989 - 8909. What is the remainder when 15919 is divided by s?
79
Let s = -757 - -773. Let d(h) = 5*h**2 - 3*h + 6. Let i = 11 - 8. Calculate the remainder when d(i) is divided by s.
10
Let v(m) = m**3 + 22*m**2 + 20*m - 35. Let j(t) = 4*t - 5. Let o be j(-4). Let z be v(o). Calculate the remainder when 42/z*1*-29 is divided by 22.
21
Let k be (-360)/27*((-10)/2 - -2). Let h = 42 - k. Suppose 0 = -h*i + 18 + 20. Calculate the remainder when 54 is divided by i.
16
Suppose -4*j + 45 = j. Suppose -8*y + 11*y + 8 = -2*s, -7 = s. Suppose 205 + y = j*r. Calculate the remainder when 88 is divided by r.
19
Let k(r) = 117*r**2 + 275*r - 543. What is the remainder when k(2) is divided by 59?
3
Suppose -5*f - 4156 = t, -17*f - 3*t - 4148 = -12*f. Let w = f + 851. Let y = -61 + 135. Calculate the remainder when y is divided by w.
17
Let a = -607 + 611. Suppose 2*f = 4*i - 358, 15 = -i + a*f + 87. What is the remainder when 290 is divided by i?
14
Let h = 80 - 74. Suppose -a - 5 = 0, 3*w + 3*a = h*w + 10233. What is the remainder when (w/(-35) - 1) + 2/5 is divided by 9?
7
Let h = -13065 - -13087. What is the remainder when 3034 is divided by h?
20
Suppose -13*w + 1794 + 3134 = -2508. Calculate the remainder when w is divided by 12.
8
Let y(l) = l**3 - 70*l**2 + 20*l - 1294. Suppose 4*m = 26 + 18. What is the remainder when y(70) is divided by m?
7
Suppose -2739*f - 1134 = -2766*f. Calculate the remainder when 585 is divided by f.
39
Suppose -2*a + 5*o = 2, -5*o + 3 = -a - 3. Suppose h + 5*z - 4 = 0, z + 60 = a*h - z. Let f = 65 + 72. What is the remainder when f is divided by h?
11
Let v(c) = 5*c**2. Suppose -7246 = -203*g + 14272. Calculate the remainder when g is divided by v(2).
6
Suppose 5*d + 705 = -0*d. Let y be 1/16 + 775/400 - 96. What is the remainder when 1 + (-362)/(-4) - d/y is divided by 20?
10
Let h = -7490 - -12718. Calculate the remainder when h is divided by 83.
82
Suppose -4*y + 109 = 205. Calculate the remainder when (-765)/(-25) + y/40 is divided by 16.
14
Suppose -27*r = -36*r - 135. Let l = r + 110. Calculate the remainder when l is divided by 39.
17
Let t = -41 - -143. Let k(c) = 50*c**2 - 4*c**3 - 1 - t*c**2 + 54*c**2. Calculate the remainder when 8 is divided by k(-1).
3
Let i = 1111 + -710. Suppose -1300 = -29*m - i. Calculate the remainder when 62 is divided by m.
0
Let k(h) = 11*h + 2. Let q be (10/(-12))/((19/6)/(-19)). Suppose 5*o + 16 = 6*o + 3*n, 0 = -q*n - 15. What is the remainder when k(3) is divided by o?
10
Let v = -5247 - -5366. Calculate the remainder when 507 is divided by v.
31
Suppose -152 = -10*u - 32. Let g(k) = 2*k + 25. Calculate the remainder when g(10) is divided by u.
9
Let x(y) = y**3 - 21*y**2 + 65*y + 182. Calculate the remainder when x(18) is divided by 77.
72
Calculate the remainder when ((-10 - -227) + 2)/1 is divided by 90.
39
Let n(x) = -4*x**3 - 7*x**2 - 7*x - 15. Let g(u) = 22*u + 63. Calculate the remainder when g(4) is divided by n(-3).
49
Suppose -4*c + 2259 = 5*c. Let p = c + -247. Calculate the remainder when 14 is divided by p.
2
Let s(r) = r**3 - 5*r**2 + 2*r - 7. Suppose 4655 = 108*f + 557*f. What is the remainder when s(6) is divided by f?
6
Suppose 1026 = -25*l + 3426. Calculate the remainder when 137 is divided by l.
41
Suppose -3*z - 2*z = -1055. Calculate the remainder when 211 is divided by z.
0
Let o(j) = -49 + 13 - 33*j + 18 + 17. Let i be o(-1). Let z = 38 - i. Calculate the remainder when 23 is divided by z.
5
Suppose 0*j = -5*g + 5*j + 315, 2*j = g - 66. What is the remainder when 714 is divided by g?
54
Let r be 1204/12*(-13 - -16). Calculate the remainder when 181 is divided by r/21 - ((-20)/(-6) + -3).
13
Let r(u) = -117*u + 588. Let v be r(5). Let g(k) be the first derivative of k**3/3 + k**2/2 + k - 1. What is the remainder when 33 is divided by g(v)?
7
Suppose z - 3*