by (10/(-45)*(-6 + 12))/(12/(-117)).
9
Calculate the remainder when 764 is divided by (936/(-90))/(-13)*1*15.
8
Let x(m) = 8*m**2 + 124*m + 772. What is the remainder when x(-6) is divided by 65?
56
Suppose y - 40 = 4*f + 47, 0 = 5*f - 6*f. Calculate the remainder when 224 is divided by y.
50
Suppose 15*k = 2*u + 14*k - 76, 82 = 2*u - 2*k. What is the remainder when 116 is divided by u?
11
Let c be -30*(-2)/(-4)*-15. Let k = c - 50. Calculate the remainder when k is divided by 60.
55
Let m(j) = j**2 - 2 - 5 + 23 - 8*j. Let p be m(7). Suppose 0*z + p = z + 3*x, 0 = -3*z - 3*x + 15. Calculate the remainder when z is divided by 2.
1
Let y(l) = -10*l**3 - 4*l**2 - 5*l - 2. Let p be y(-2). Let k = p + -68. What is the remainder when 10/2 - (2 + -3) is divided by k?
2
Suppose -171*x = -332*x + 170*x - 10773. What is the remainder when x is divided by 134?
125
Let n be (-6)/(-14) - (-705)/21. Suppose n*d - 31*d = 48. Let q = -13 + d. What is the remainder when 7 is divided by q?
1
Suppose -11*i - 12 = -15*i. Suppose 12*o - 75 = -i*o. Suppose o*k = 3*d - 175, d = 6*d + 2*k - 302. Calculate the remainder when d is divided by 9.
6
Suppose 3*b + 0*y - 2*y - 178 = 0, -3*y = 4*b - 243. Suppose 7*v - b = v. Calculate the remainder when 35 is divided by v.
5
Suppose -14*n + 13*n + 4 = 0. Let u be (-8)/10*240/32. What is the remainder when (2/4)/(u/93)*-4 is divided by n?
3
Let s be (-15)/30*(-2 + 0) + 5. Suppose -18*g + s = -84. Suppose 2*k - 22 - 54 = 0. What is the remainder when k is divided by g?
3
Suppose 10 = 2*c, 199*c + 1035 = 5*s + 195*c. What is the remainder when s is divided by 129?
82
Let i(t) = 27*t - 26. Let f be i(-10). Let l = f + 311. Calculate the remainder when 28 is divided by l.
13
Suppose 2*b - 9 - 39 = -3*a, 2*b + a - 56 = 0. Calculate the remainder when 279 is divided by b.
9
Let j = -733 + 1135. Suppose 27*n - j = 354. What is the remainder when 102 is divided by n?
18
Suppose 0 = -5*d + 10*b - 8*b + 1618, -2*d = -3*b - 645. Calculate the remainder when d is divided by 37.
28
What is the remainder when 76 is divided by (-7 - -12)/(88/(-110)*2/(-8))?
1
Let z be -4*3/36 - (-266)/6. Suppose z*w + 13 = 45*w. What is the remainder when 32*4/(-8)*-4 is divided by w?
12
Let z = -83 + 77. Let j be 48/72 + 346/z. Let i = 79 + j. Calculate the remainder when i is divided by 5.
2
Suppose 6*v = 3427 - 1069. What is the remainder when v is divided by 107?
72
Let c = -621 + 671. Suppose 53*o = c*o + 27. What is the remainder when 58 is divided by o?
4
Let x = 334 + -222. Let k = x + -81. What is the remainder when 58 is divided by k?
27
What is the remainder when (-38)/(-76) + 3030/12 is divided by 27?
10
Suppose 17 = -t + 2*g, 12 = -5*t - 2*g - 13. What is the remainder when 22 is divided by (-182)/(-12) - t/(-42)?
7
Suppose 2*d - 6*q - 2 = -2*q, 3*q = -2*d + 30. Calculate the remainder when 45 is divided by (-546)/(-18) - 3/d.
15
Let a = 456 + -365. What is the remainder when 183 is divided by a?
1
Let w = -273 + 288. Let m(x) = -x**2 + 14*x - 35. Let f(t) = 3*t - 8. Let v be f(6). Calculate the remainder when w is divided by m(v).
0
Let f = 117 + -112. Let t(n) = -n**2 + 8*n - 9. Let a be t(9). Calculate the remainder when f is divided by 6/(-5)*60/a.
1
Let n(v) = -6 + 23 - 8*v + 8*v - 21*v. What is the remainder when n(-2) is divided by 15?
14
Let o be (-12 + 12)/((-6)/3). Suppose -5*j + 71 = -o*r + 2*r, 0 = -4*r + j + 109. Calculate the remainder when r is divided by 20.
8
Suppose 43914 = 13*h - 1703. What is the remainder when h is divided by 90?
89
Suppose 0 = -79*y - 73*y + 8583 + 993. Calculate the remainder when y is divided by 6.
3
Let v = 23 + -23. Let d(o) = -o**3 - 2*o**2 + 52. Let c be d(v). Let b = c + -43. What is the remainder when 33 is divided by b?
6
Suppose 0 = -8*y + 577 + 39 + 312. What is the remainder when 1054 is divided by y?
10
Let u(a) = -221*a + 227*a - 19 + 11. Calculate the remainder when 141 is divided by u(4).
13
Let b(x) = -524*x - 3138. What is the remainder when 317 is divided by b(-6)?
5
Let x(c) = 33*c - 2. Let d be x(-1). Let q = d + 62. Suppose 22*t + 49*t = 7526. Calculate the remainder when t is divided by q.
25
Let k = -9 - -8. Let r be (2 - 52) + k + 1 + 3. Let p = 5 - r. Calculate the remainder when p is divided by 18.
16
Suppose 3*y - 69 = 5*h, -h + 9 = 2*h. Suppose 24 = -m + 5*m - 2*b, -5*b + y = m. Suppose 150 = -2*t + m*t. Calculate the remainder when 72 is divided by t.
22
Suppose 0 = 3*f - 3*g - 69, -5*f + 24*g = 25*g - 97. Suppose 0 = 5*z + 4*t - 41 - 12, 2*t = 5*z - 41. Calculate the remainder when f is divided by z.
2
Let i be (-72)/28 + 3 - (-17)/(-7). Calculate the remainder when (147 - (5 + -3))/((-1)/i) is divided by 59.
54
Let b = 2766 + -2755. What is the remainder when 24012 is divided by b?
10
Let s = 1405 - 981. Suppose 417*h = s*h - 77. Calculate the remainder when 252 is divided by h.
10
Suppose -2*l + 96 = 4*q, -2*l + 5*q + 69 = -9. Calculate the remainder when 5276 is divided by l.
40
Let v = 3502 - 3023. Calculate the remainder when v is divided by (32/12)/(6/45).
19
Suppose 116 = 4*l - 112*v + 108*v, 4*l = -2*v + 92. Calculate the remainder when 117 is divided by l.
17
Suppose 87*s - 16560 - 5934 - 34752 = 0. Calculate the remainder when s is divided by 293.
72
Let b(u) = u**2 + 18*u + 63. Let d be b(-14). Suppose 8*i - 69 = d*i. Calculate the remainder when i is divided by 12.
9
Suppose 178 + 299 = 9*m. Suppose -9*x - m = -620. Calculate the remainder when 313 is divided by x.
61
Suppose 0 = 188*s - 202*s + 70. Calculate the remainder when 90 is divided by s.
0
Let f(p) = 149*p + 1. Suppose -20 = -471*n + 470*n - 2*w, 2*w + 10 = 0. Calculate the remainder when f(2) is divided by n.
29
Let y = 66 + -63. Let l be ((-21)/9)/((-1)/y). Suppose -11*i = -l*i - 80. What is the remainder when 30 is divided by i?
10
Let t(z) = -12*z - 81. Let v be t(-7). Suppose -42*o + 44*o = v*g + 73, g = -2*o + 85. Calculate the remainder when 108 is divided by o.
26
Suppose 140*d - 813 - 1886 = 941. Calculate the remainder when 181 is divided by d.
25
Suppose -119 - 506 = -5*z. What is the remainder when 241 is divided by z?
116
Let p = 10832 - 10822. What is the remainder when 1764 is divided by p?
4
Let f = 10022 - 9515. Calculate the remainder when f is divided by 16.
11
Suppose -5*x = 5*v - 2945, 9*v = -x + 11*v + 568. Calculate the remainder when x is divided by 570.
12
What is the remainder when (-15)/(-2)*56/12 is divided by ((-18)/(-15))/(4/60)?
17
Let x(d) = -d - 1. Suppose -z - 1 + 38 = m, 0 = -3*z + 3*m + 129. Let o = z - 38. Calculate the remainder when x(-4) is divided by o.
1
Let w(c) be the third derivative of c**5/20 + 19*c**4/24 + 25*c**3/6 - 274*c**2. What is the remainder when w(-12) is divided by 29?
26
Suppose 327 = 5*d - 3*z, -2*d + 217 - 75 = -4*z. Let v(u) = -6*u**3 - 3*u**2 - u + 7. What is the remainder when v(-3) is divided by d?
19
Let o(s) = s**3 + 79*s**2 - 398*s - 81. Calculate the remainder when o(-83) is divided by 10.
7
Suppose 6*j = 4*j + 4*b + 1300, -2*j + 1320 = 6*b. Calculate the remainder when j is divided by 59.
5
Suppose 0 = -5*o - 5*p - 115, 0 = 2*p - 8. Suppose 14*z - 726 = -166. Let r = o + z. Calculate the remainder when 25 is divided by r.
12
Let d = -18329 - -18370. Let j = -166 - -282. Calculate the remainder when j is divided by d.
34
Suppose 519 + 2316 = 27*d. Calculate the remainder when (-661)/(-7) - (-10 - (-1095)/d) is divided by 26.
16
Let r(b) = 34*b**2 - 2*b - 1. Let t be r(-1). Let c be 110/4*(-28)/t. Let l(n) = -n**2 - 24*n + 24. Calculate the remainder when l(c) is divided by 35.
33
Suppose 4*p + 252 = c, -p - 1561 = -3*c - 739. Calculate the remainder when 5519 is divided by c.
275
Let p be 20/(-180)*(1 + -10). Suppose -4*s + 7 = -5*f + p, 5*f = -s + 14. What is the remainder when 25 is divided by s?
1
Suppose -5*t + 53 = -87. What is the remainder when 468/24*(-184)/(-69) is divided by t?
24
Let a(q) = -q**3 - 4*q**2 - 10*q - 7. Calculate the remainder when a(-7) is divided by 28/2100*795*5.
51
Let w be ((-28)/30 + (-18)/(-30))*-12. Suppose -4*t - 2*n + 4*n + 18 = 0, w*n + 1 = t. What is the remainder when 23/3 - 1/(-3) is divided by t?
3
Let t(v) = 34 + 53 + 4*v - 168. Calculate the remainder when 34*3 - 0/(-3) is divided by t(24).