ppose 2718 = 5*m - 2*g, -1662 = 189*m - 192*m - 4*g. What is the remainder when m is divided by 106?
16
Suppose -4*h + 48 = r, -5*r = h + 3*h - 32. Suppose -h*s - 690 = -23*s. What is the remainder when s is divided by 6?
3
Suppose -4*v + 3130 - 3086 = 0. What is the remainder when 211 is divided by v?
2
Suppose 4*x = -c + 13, -4*c = 24 - 12. Suppose -6*a + x*a = 5*l - 366, -5*l + 5*a = -380. What is the remainder when l is divided by 5?
4
Suppose 0*n + 567 = 5*f + 3*n, 3*f + 3*n = 345. What is the remainder when f is divided by (0 - 1)*((2 + -2)/2 - 60)?
51
Let l(k) = 63*k**2 + 56*k + 169. What is the remainder when l(-3) is divided by 152?
112
Suppose 2*x - 230 = -3*x. Suppose 8*u - 116 = 52. Calculate the remainder when x is divided by u - (3 + (-2)/(-2)).
12
Suppose -18*p - 10*p = -28. Suppose 3*h - 1 - 5 = 0. What is the remainder when ((-585)/(-42) + 22/308)*p is divided by h?
0
Suppose c = 1 + 6. Suppose 21*m - 98934 = -98640. Calculate the remainder when m is divided by c.
0
Let q = 604 - -209. Calculate the remainder when 261 is divided by 7/(-35) - (q/(-15) + 1).
49
Suppose -194*u = -41*u - 431154. Calculate the remainder when u is divided by 94.
92
Suppose 4 = 5*j - 4*j. Suppose 20*i - 11*i = 20*i - 638. Calculate the remainder when i is divided by j.
2
Let i = -2231 + 2245. What is the remainder when 144 is divided by i?
4
Let v(q) = -7*q**2 - 567*q + 4. Calculate the remainder when 342 is divided by v(-81).
2
Suppose v + 3*v = 12, 2*n - 52 = -4*v. Let a be 572/91*1 + (-2)/7. Calculate the remainder when 71 is divided by 1*a/10*n.
11
Let k(f) = f**2 + 22*f - 30. Let n be k(-23). Let x(i) = i**3 + 8*i**2 + 4*i + 5. What is the remainder when 87 is divided by x(n)?
9
Let f(h) = h**2 - 18*h + 5. Let j(g) = g**2 - 16*g - 1. Let t = 29 - 12. Calculate the remainder when j(t) is divided by f(18).
1
Suppose 16*o + 170 = 6*o. Let t = o + 64. What is the remainder when t is divided by 6?
5
Suppose -1231 - 2902 = -228*c - 29. Calculate the remainder when 83 is divided by c.
11
Suppose 0 = -4*o, -2*l - 327 = -3*l - 4*o. Let q = l - 320. What is the remainder when 62 is divided by q?
6
Let l = 202 - 200. Suppose l*y = -4*w + 60, -2*y - 2*w = 3*w - 62. What is the remainder when 12/(-8) - (-726)/4 is divided by y?
24
Let c = 16896 - 16884. What is the remainder when 1002 is divided by c?
6
Suppose 4*y - s - 40 = 0, -110 = -5*y - 4*s - 39. Suppose -y*u + 80 = -u. Calculate the remainder when 30 is divided by u.
6
Let d be 3 - -3*(-3)/9. Suppose 3*j = 6*q - 2*q - 80, -2*q + 50 = j. Calculate the remainder when q is divided by 1 - (-11 + (-2)/d).
10
Suppose 2*b = 2*w - 30, -4*b - 16 - 2 = -w. Calculate the remainder when 338 is divided by 833/14*8/w.
32
Suppose 3 = -u + 62. Suppose 0 = -4*k - 20*a + 17*a + 1149, 3*k - 864 = -2*a. Calculate the remainder when k is divided by u.
58
Let b = 86 - 76. Suppose 2*c + 37 = 3*w, 0 = -3*w + 3*c + 67 - 25. Suppose 6 - 69 = -w*n. Calculate the remainder when b is divided by n.
3
Let l = 1572 - 1534. Calculate the remainder when 1652 is divided by l.
18
Let j = 7 - 6. Let p(u) = -9*u + 3 + j - 2. Calculate the remainder when p(-3) is divided by 15.
14
Let n = -4991 + 5005. What is the remainder when 2937 is divided by n?
11
Suppose -17*d - 21 = -14*d, 3*q - 2326 = -5*d. Calculate the remainder when q is divided by 50.
37
Suppose -2*a + 5*b + 0*b = -51, 5*a - 5*b = 105. Let h = -57 - -69. Suppose h*n = 26*n - 1232. Calculate the remainder when n is divided by a.
16
Let q(t) = 715*t + 5010. Calculate the remainder when 279 is divided by q(-7).
4
Suppose 9*q = 17*q - 4128. What is the remainder when 339 is divided by 4/(-3)*4*q/(-32)?
81
Let a be -84*((-4)/(-4) + -2 + 3). Let s(i) = i + 37. Calculate the remainder when s(0) is divided by (1/(-3))/(1 + 175/a).
5
What is the remainder when 3663/(-66)*(1 + -7) is divided by 67?
65
Calculate the remainder when 112 is divided by -24*((-3)/(-12)*(1 + -2))/2.
1
Let v be -38 + (4/5)/(4/20). Let w = v + 64. What is the remainder when w is divided by 20?
10
Let i(p) = 5*p**2 - 4*p - 25. Let d(q) = -q**3 - 15*q**2 - 11*q + 46. Let j be d(-14). What is the remainder when i(j) is divided by 31?
8
Let b be (-28)/6 + (-8)/24. Let x be (b/15*-18*1)/2. Calculate the remainder when -3*((-115)/x + 4) is divided by 26.
25
Suppose -4*w + 2827 = o - 9*w, 3*o + w = 8561. Calculate the remainder when o is divided by 17.
13
Suppose 0 = -1236*c + 1222*c + 1974. Calculate the remainder when c is divided by 96.
45
Let i = -2471 + 2500. Calculate the remainder when 751 is divided by i.
26
Suppose 3969 = -137*g + 186*g. Calculate the remainder when 708 is divided by g.
60
Let f = -7693 - -7776. Let d = -19 - 13. Let p = f + d. Calculate the remainder when p is divided by 27.
24
Let j = -1594 + 1614. Calculate the remainder when j is divided by (-16)/(0/(-1) - 1).
4
Suppose 11*s - 4 - 40 = 0. Let l(b) = b + 7. Let f = 51 - 54. Calculate the remainder when l(f) is divided by s.
0
Let s be 18/18*1*(0 + 1). Suppose 0 = 4*x - 3 - s. Let g = 4 + -2. Calculate the remainder when g is divided by x.
0
Suppose 3*b - w - 46 = 0, -b + 2*w + 32 = 5*w. Calculate the remainder when 116 is divided by b.
14
Let r(q) = -q**3 + 10*q**2 - 9*q + 3. Let h be r(9). Suppose 8*l = h*l - 125. Let j = l - -47. What is the remainder when 107 is divided by j?
19
Let i = -188533 - -188546. Suppose 0 = -5*c - 5*o - 120, 28 = -2*c + 2*o - 8. Calculate the remainder when (1 - c) + (1 - 0) is divided by i.
10
Let u(o) be the first derivative of 15 + 21*o + 1/2*o**2. Calculate the remainder when 31 is divided by u(-13).
7
Suppose 32*y - 36*y + 28 = 0. Suppose 0 = -y*l + 9*l - 378. Suppose 714 = 5*s + l. What is the remainder when s is divided by 18?
15
Let y = -7310 + 7470. Suppose -215 = -4*t + 5*x, -4*x + 113 = 2*t - x. Calculate the remainder when y is divided by t.
50
Suppose 5*y - y = 0. Let m(i) be the first derivative of i**2/2 + 5*i - 796. What is the remainder when m(y) is divided by 4?
1
Let t(a) = 10 - 15 + 33*a**2 - 21 + 3*a + 3*a + 2. What is the remainder when t(2) is divided by 37?
9
Suppose d - 24 = o, -5 - 15 = -d + 5*o. Let w be (-44)/77 - 36/(-14). What is the remainder when ((-25)/5 - w)*-10 is divided by d?
20
Let o be (76/(-10))/(2/(-310)). Suppose 22*a + o = 6436. Calculate the remainder when a is divided by 20.
19
Suppose 114*n + 37*n = 15886 + 43004. Calculate the remainder when n is divided by 88.
38
Let q = 13320 + -13299. What is the remainder when 14004 is divided by q?
18
Suppose g + 0*g + 43 = 0. Let i = 33 - g. Let v = -100001 + 100041. Calculate the remainder when i is divided by v.
36
Let a = 446 - 469. Calculate the remainder when (79 - a) + 21/(-3) is divided by 7.
4
Suppose -38*p + 12304 - 3602 = 0. What is the remainder when p is divided by 152?
77
Let w(b) = 0*b**3 + 19 - 2*b - 23 + 6*b**2 - b**3. Let i be w(6). What is the remainder when 28 is divided by (3/((-24)/10))/(2/i)?
8
Suppose 144841 = 117*n + 124*n. What is the remainder when n is divided by 36?
25
Let h = -21248 + 21398. What is the remainder when 895 is divided by h?
145
Let s = 3890 - 3828. Suppose -4*g + i + 148 = 0, 5*g - i + 0*i - 185 = 0. Calculate the remainder when s is divided by g.
25
Suppose 61 = j - 0*j. Let d(o) = 4*o**2 + 2*o - 3. Let w(i) = i**3 - 27*i**2 + 29*i - 76. Let a be w(26). What is the remainder when j is divided by d(a)?
10
Let z(b) = 2*b + 87. Let l be z(-34). Suppose l*s - 114 = 57. What is the remainder when 13 is divided by s?
4
Suppose -279*w = 2*q - 283*w - 2200, w + 2218 = 2*q. Calculate the remainder when q is divided by 1110.
2
Suppose -1737 = -465*h + 4773. What is the remainder when 372 is divided by h?
8
Let s be (2 + 6)*899/31. Let c = -212 + s. What is the remainder when c is divided by 16?
4
Let s = 74 + -155. Let p = -19 - -40. What is the remainder when (-14)/(-2) - 6 - s is divided by p?
19
Calculate the remainder when (30451/(-148))/(3/(-12)) is divided by 277.
269
Let o(y) = -14*y - 25. Let a(k) = -k**2 + 9*k + 59. What is the remainder when o(-7) is divided by a(11)?
36
Let f = -114 - -15. Let a = -54 + f. Let k = 295 + a. Calculate the remainder when k is divided by 16.
14
Suppose 0 = -7*s + 4*s + 15. Suppose 2*w - 25 = s. Suppose -2*u + 25 = 2*x - 55, 0 = 2*u - 5*x - 94. Ca