e 43/p - (-20)/90. Suppose -k*j - 25 = -3*w, 5*w - 2*j + 21 = 50. What is the remainder when 32 is divided by w?
2
Suppose -19*t + 10 = -14*t. Let i be t*-2 + 13 + (-36)/(-6). Suppose -i*c + 64 = -11*c. What is the remainder when c is divided by 8?
0
Suppose -176*o + 10551 + 24737 = -10472. What is the remainder when o is divided by 240?
20
Let f = -23 - -27. Suppose j = -3*t + 31, -j + f*t = 5*t - 21. What is the remainder when j is divided by (-4 + (-1 - 3))*(-3)/6?
0
Let n(r) = -18*r + 101. Let o(u) = -7*u + 75. Let l be o(10). What is the remainder when 75 is divided by n(l)?
9
Let l be -10 + (2/(-6))/(9/((-351)/13)). Let q = -152 + 309. What is the remainder when q + l/((-45)/(-20)) is divided by 26?
23
Let s(n) = n**3 - 9*n**2 - 6*n + 6. Let z(y) = y + 1. Let b be z(9). Let v(l) = 111*l - 977. What is the remainder when v(10) is divided by s(b)?
41
What is the remainder when (183*12/(-27))/(50/75)*-4 is divided by 10?
8
Calculate the remainder when 138 is divided by 18/(-15)*(-29)/(1740/800).
10
Suppose 5*v + i = 45, -5*v - 5*i = -10*i - 45. What is the remainder when 627 is divided by v?
6
Let l = 214 + -120. Let a = 92 - l. Calculate the remainder when (-10 - a)*1*(-58)/8 is divided by 9.
4
What is the remainder when 730 is divided by 49 - (3 + 18 + -7)?
30
Suppose -19*c + 2084 = 2*i - 15*c, i = c + 1069. What is the remainder when i is divided by 46?
2
Suppose 2*b - 3*q = 4*b - 8, -3*b + q + 34 = 0. What is the remainder when (-690)/(-135)*9 - 9 is divided by b?
7
Suppose 2*b + 3*b = 0, -5*b + 222 = -3*f. Let p = -44 - f. Suppose 0 = -104*y + 107*y - p. Calculate the remainder when 49 is divided by y.
9
Suppose -843*i + 4745 + 11920 = -71396 - 136177. Suppose 0 = 2*o + o + 2*u - 56, -5*o - 2*u + 88 = 0. Calculate the remainder when i is divided by o.
10
Suppose 4*g - 18 = -6, 8*q - 47 = 3*g. Calculate the remainder when 563 is divided by q.
3
Suppose 0 = 4*h - 14 + 6. Let m be 1/(-2)*58*(1 - 2). Suppose 4*l = 4*s + 52, -l + 3*s = l - m. Calculate the remainder when l is divided by h.
0
Let r = 128 - 236. Let k = -89 - r. Suppose d + 5*t = k, 4*t + 57 = 3*d + 3*t. What is the remainder when 49 is divided by d?
11
Let d = 2308 + -1856. Calculate the remainder when d is divided by 13.
10
Let v be (12/9)/(2/6) + 5. Let d(n) = -19*n + 174. What is the remainder when 14 is divided by d(v)?
2
Suppose -6*s - 2*s = 61*s - 2898. Calculate the remainder when 142 is divided by s.
16
Let z(g) = g**3 + 74*g**2 + 397*g - 152. What is the remainder when z(-68) is divided by 150?
146
Suppose -t + 1458 = 1298. What is the remainder when 423 is divided by t?
103
Let m be (27/36)/(9/300). Suppose 6*g - m = g. Calculate the remainder when 9 is divided by g.
4
Let a(t) = t**3 + 7*t**2 + 12*t - 16. Let q be a(5). Suppose -341*s = -q*s + 831. What is the remainder when s is divided by 31?
29
Let c(x) = 5*x**2 + 18*x + 8. Let g be c(-6). Suppose g*i = 76*i + 96. Calculate the remainder when 50 is divided by i.
2
Suppose 1653 = 3*h + j, 0 = 2*h + 5*j - 619 - 470. What is the remainder when h is divided by 136?
8
What is the remainder when 462 is divided by 140608/572 - (-8)/44?
216
Suppose 9 = j - w - 0*w, 3*j + w - 23 = 0. Let s = -2 + j. Suppose -s*g + 151 = -47. Calculate the remainder when g is divided by 16.
1
Let i be (2 - 0)/(-7 - (-13437)/1917). Let b = i + -202. What is the remainder when 19 is divided by b?
8
Let r be ((-8)/10)/(10/325). Let c = r - -45. Calculate the remainder when 32 is divided by c.
13
Suppose -39 = -2*f - 3*r, -f + 7 = -3*r + 2*r. Calculate the remainder when f/32*92 + (-2)/4 is divided by 7.
6
Let r(m) = -m**3 - 11*m**2 + 27*m + 18. Let w be r(-13). Suppose 5*l - 96 = -k - 35, -w*l = 3*k - 233. Calculate the remainder when k is divided by 15.
11
Calculate the remainder when (-579840)/(-1800) + ((-3)/(-21) - (-29)/(-105)) is divided by 18.
16
Suppose -163 = -2*j - 109. Suppose -8*a + 11 = j. Calculate the remainder when 5*4/(0 - a) is divided by 8.
2
Suppose 5*r - 2*q = 0, 2*q = -r + 5*r + 2. Suppose -r*w = 2*w - 5904. What is the remainder when ((-1)/4)/((-9)/w) is divided by 9?
5
What is the remainder when (0 + -8)/((-6)/(-7920)*-15) is divided by 101?
98
Suppose 84074 = 4*b - 2*a, 279*b + 4*a = 283*b - 84076. Calculate the remainder when b is divided by 13.
10
Let n be (-1)/(4/(-104)) - 2/(-1). Suppose n*m = 1287 + 925. Calculate the remainder when m is divided by 27.
25
Suppose -l = -3*a - 13 - 29, 0 = -5*l - 2*a + 244. Suppose 0 = 14*h - 34*h + 960. Suppose -h = -10*g + 52. What is the remainder when l is divided by g?
8
What is the remainder when (-663)/((2/3)/(6*10/(-90))) is divided by 8?
7
Calculate the remainder when -14*(-1)/(-8) + (-14178)/(-24) is divided by 115.
14
Let n = -18958 - -19120. What is the remainder when 1294 is divided by n?
160
Let h be -1 + (-6)/2 + 7 + 149. Suppose -157*o + 50 = -h*o. What is the remainder when 33 is divided by o?
3
Suppose -4*p = -20, -5*v = 3*p - 276 - 174. What is the remainder when 193 + (-3)/2*14 is divided by v?
85
Suppose -18442*f + 223482 = -18408*f. What is the remainder when f is divided by 17?
11
Let f = -116 + 93. Let d = f + 133. Calculate the remainder when d is divided by 29.
23
Let g = -34 + 21. Let b = g - -122. What is the remainder when b is divided by 16?
13
Suppose 0*w - 3*w = -12. Suppose -4*n - w*d = -4, -2*n + d = n + 9. What is the remainder when 45 + n + -2 + 1 is divided by 15?
12
Suppose 5*l - 21 = 19. Let w = -4 - l. What is the remainder when 59 is divided by 6*((-128)/w)/4?
11
Suppose 4*o - 21 = -3*c, 2*o + 2*o - 15 = -c. Suppose d - 1 = -0*d, -c*y + 49 = 4*d. Suppose 384 = y*s - 9*s. Calculate the remainder when s is divided by 18.
10
Let m = 19040 - 18519. What is the remainder when m is divided by 167?
20
Suppose -3*c = m - 8764 - 732, -3*m = -5*c + 15794. What is the remainder when c is divided by 33?
28
Let c(m) = m**2 + m + 2. Suppose -2*s + 4*y = 5*y - 959, -4 = 4*y. Suppose s = 8*u + 64. Calculate the remainder when u is divided by c(3).
10
Let m = 13 + 19. Suppose -5*j + 267 = m. Suppose -t + 22 = 4*y, 0 = 3*y + 3*t - 18 + 15. Calculate the remainder when j is divided by y.
5
Suppose 4*t - 8 = -0*t. Suppose 5*d - 29 = -t*g + 26, 10 = -2*g. Let f(k) = 8*k**3 - 222*k**2 - 55*k - 25. What is the remainder when d is divided by f(28)?
1
Calculate the remainder when (-3)/(3/94)*(8 - 2)/(-6) is divided by 48.
46
Suppose -1917*d - 1798 = -1927*d + 3292. What is the remainder when d is divided by 32?
29
Let n(h) = 3*h**2 - 261*h - 1893. What is the remainder when 583 is divided by n(-7)?
16
Let p = -228 + 215. Calculate the remainder when p*(26/(-6) + (-14)/21) is divided by 53.
12
Let l be (2 - -28)/(-5 + 7). Let m(x) = 37*x - 23. Let u be m(l). Suppose u = -w + 8*w. Calculate the remainder when w is divided by 11.
10
Let b = -48066 - -48297. Calculate the remainder when b is divided by ((-84)/16)/(-7)*12.
6
Let x(u) = u**2 - 3*u - 4. Let k be x(7). Suppose 21*s - 20*s = 47. Let z = s - k. What is the remainder when z is divided by 8?
7
Suppose 10*d - 280 = 6*d. Let s = 14 + 11. Suppose y - s = -5. What is the remainder when d is divided by y?
10
What is the remainder when 1120 is divided by ((-60)/(-50))/((90/(-9525))/(-2))?
104
Suppose 529 - 739 + 10812 = 62*p. Calculate the remainder when p is divided by 82.
7
Let l(a) = -65*a + 2431. What is the remainder when 660 is divided by l(36)?
23
Let k = -43 - -60. Suppose 55*i - 64*i - 2*c + 6691 = 0, -2*i - 3*c = -1469. What is the remainder when i is divided by k?
14
Let h(k) = -8 - 518*k + 524*k - 2. What is the remainder when 232 is divided by h(4)?
8
Let x = 9027 + -8968. Suppose d - 291 = -g, 3*g - 801 = 5*d + 96. What is the remainder when g is divided by x?
58
Let q = -370 - -1327. What is the remainder when q is divided by 40?
37
Let s(b) = b**2 - 67*b + 90. Let f be s(54). Let c = f + 639. Calculate the remainder when 134 is divided by c.
26
Suppose -2 = -z + 3*t, 2*z + 12*t = 8*t + 34. Suppose 0 = -v + 4*d + z, -19*d = 4*v - 18*d - 129. What is the remainder when 117 is divided by v?
24
Suppose 61*b - 197 = -14. What is the remainder when 220 is divided by b?
1
Let f(l) = l**3 + 5*l**2 + 5*l + 9. Let a = 57 - 10. Let i = 43 - a. What is the remainder when 5 is divided by f(i)?
0
Let g(k) = 