the remainder when 258 is divided by 14 - (-2353)/(-78)*-6.
63
Suppose 5*c - 8*c = 12. Let u = c - -70. Let q = 110 - u. Calculate the remainder when q is divided by 23.
21
Let j(h) = -7*h + 81. Let y be j(7). Calculate the remainder when 44 is divided by (8/y)/((-71)/36 - -2).
8
Let k be -412*9/(-54) + 4/(-6). Let v(l) = -l**2 + l + 7. Let x be v(8). Let n = k + x. What is the remainder when n is divided by 7?
5
Suppose 3*t = 3*i - 153, 5*t + 270 - 67 = 4*i. Calculate the remainder when 159 is divided by i.
3
Let i(o) = 2*o**2 - 13*o - 2. Let w(d) = -5*d + 10 - 4*d - d**2 + 0. Calculate the remainder when i(10) is divided by w(-8).
14
Suppose -245*r + 449664 = -53*r. Calculate the remainder when r is divided by 7.
4
Let i be ((-3)/(12/32))/(-2). Suppose -14*t + 210 = -i*t. Calculate the remainder when 78 is divided by t.
15
Suppose 5371 = 2*u - 5*z, -4720 = -4*u + 2*z + 6014. Calculate the remainder when u is divided by 3.
1
Let x = -525 - -513. What is the remainder when 112 is divided by x/7*189/(-54)?
4
Suppose n - 91 = 4*y, 2*n + 2*y - 34 = 198. Suppose 4*v = c + n, 0*v = 3*v + 4*c - 88. Calculate the remainder when v is divided by 3.
1
Suppose -375 = -2*w + 4*t - 63, 4*w = -4*t + 636. Suppose -2*o + 4*h + w = 0, -2*o = -2*h - 53 - 107. What is the remainder when 157 is divided by o?
76
Let r = 249 - 386. Let y = 134 + r. What is the remainder when -92*y*(4/12 - 0) is divided by 31?
30
Let h = 696 - 692. Suppose 0 = -8*i + 4*i + c + 632, h*i - 616 = -3*c. What is the remainder when i is divided by 18?
13
Let b(u) = u**3 + 8*u**2 - u + 7. Let j be b(-9). Suppose 10*f + 308 = -162. Let c = f - j. Calculate the remainder when 51 is divided by c.
15
Let r(q) = -q**2 - 3*q + 4. Let h be r(-3). Let z(k) = 16*k + 97. Calculate the remainder when z(h) is divided by 14.
7
Suppose 0 = 18*j - 13*j - 500. Calculate the remainder when 58 is divided by 75/j + 17/4.
3
Let s(a) = 11*a**2 - 17*a + 5. Let w = 1099 + -516. Calculate the remainder when w is divided by s(2).
13
Let p(d) = d**2 - 144*d + 4028. What is the remainder when 404 is divided by p(107)?
59
Let t = -740 + 2265. Calculate the remainder when t is divided by 18.
13
Let s(a) = -33*a - 2. Let g = -18 + 23. Suppose -5 = g*x - 0. Calculate the remainder when s(x) is divided by 11.
9
Suppose -30 = 3*k - 6, 33*j - 69 = 30*j - 3*k. Calculate the remainder when (1*-59)/(1/(-2)) is divided by j.
25
Let o(m) = -27*m + 2. Let j be o(-6). Let q be j*(2 - 6)/(-8). Suppose w + 5*b - 3 = -5, 5*w + 2*b = q. Calculate the remainder when w is divided by 7.
4
Suppose 44*n - 1786 = -158. What is the remainder when 570 is divided by n?
15
Suppose -3*b - 2*b - 366 = -l, -b = -4*l + 1464. Let a = l - 331. What is the remainder when 60 is divided by a?
25
Calculate the remainder when (7860/16)/((-93)/(-248)) is divided by 14.
8
Suppose 0 = 2*z - 8, -8*d + 3*d + 3*z + 153 = 0. Let l(j) = j**2 - 2. Let o be l(-3). What is the remainder when d is divided by 1/(((-14)/(-24))/o)?
9
Suppose y + 5*v - 271 = 0, 5*v = -3*y + y + 517. Suppose -111*x = 135*x - 19434. Calculate the remainder when y is divided by x.
9
Suppose -8*w + 2*u + 30 = 0, -w + 6*u - 1 = u. Calculate the remainder when 1516 is divided by w.
0
Let l be 116/(-174)*(-31 + 2 + -4). Suppose -l*q = -q - 1680. Calculate the remainder when q is divided by 9.
8
Let p = 1760 - 1569. What is the remainder when p is divided by 97?
94
Suppose -126*m + 230 = -124*m - 4*i, -3*m - 4*i = -365. What is the remainder when m is divided by 14?
7
Suppose -46 - 2 = -6*x. Suppose x*v - 3*v = 25. Let z = 25 + -20. What is the remainder when v is divided by z?
0
Suppose 10*i = 265 - 85. Let v(c) = 2*c**2 - 9*c + 14. Let s be v(6). Suppose 2*y = 0, 3*u + 5*y = 4*u - s. What is the remainder when u is divided by i?
14
Suppose -h - 11 + 104 = 0. What is the remainder when h is divided by 28?
9
Suppose -126*m - 83*m + 84*m + 3375 = 0. Suppose 0 = -5*c + 327 + 108. Calculate the remainder when c is divided by m.
6
Suppose -327 = -k - 4*p + 84, -k + 5*p = -429. Let s(q) = 4*q + 32. Calculate the remainder when k is divided by s(-3).
19
What is the remainder when 1239 is divided by 6*(-6 + 4) - -190?
171
Let m = 5 + -4. Suppose -6*v + 122 = -5*g, -37*v = -40*v - 4*g + 35. What is the remainder when v is divided by m*3/((-3)/(-10))?
7
Let h(b) = b + 84. Let a(z) = z + 84. Let n(d) = -2*a(d) + 3*h(d). What is the remainder when n(16) is divided by 17?
15
Suppose -2*j + 56 = h, -465*h = -461*h - 4*j - 260. Calculate the remainder when h is divided by 39.
23
Let x(k) = 989*k - 6722. What is the remainder when x(8) is divided by 91?
7
Let p be ((-32)/20)/((-6)/15). Suppose -1110 = 5*d - p*y, d = 3*y + 3 - 225. Let x = 345 + d. What is the remainder when x is divided by 31?
30
Let f be -4*(-1 + 6)*(-153)/6. Suppose 31*p - f = p. Calculate the remainder when 74 is divided by p.
6
Let h(u) = -u**3 - 19*u**2 - 2*u - 6. Let o be h(-19). Suppose -33 = -s + 5*r, -o - 18 = -5*s + 2*r. Calculate the remainder when 36 is divided by s.
4
Calculate the remainder when ((-165)/(-11) - -101) + -20 is divided by (-194)/(-8) + (-3)/12.
0
Let r(o) = -6*o - 84. Let f be r(-25). Suppose -f = -19*y + 13*y. What is the remainder when 31 is divided by y?
9
Let f(g) = g**2 + 8*g - 208. What is the remainder when 185 is divided by f(-21)?
55
Let c(t) = -83*t - 161. Suppose -4*d = -8*d - 3*w + 518, 139 = d - 4*w. What is the remainder when d is divided by c(-2)?
1
Suppose -40*g = -48*g + 40. Suppose -6*u = -11*u - 10, 1788 = g*y + u. Calculate the remainder when y is divided by 30.
28
Let j(x) = x**2 - 7*x + 3. Let n be j(7). Suppose 2*c - 626 = -5*k, -179 = -n*k + c + 201. What is the remainder when k is divided by 32?
30
Let b = 336 + -313. What is the remainder when 102 is divided by b?
10
Suppose 61*a - 59*a - 5*j - 756 = 0, -j = 0. Calculate the remainder when a is divided by 19.
17
Let l = 30 + -47. Let z = l - -22. Suppose -z*s + 3*s + 4 = 0. Calculate the remainder when s is divided by 1.
0
Suppose 0*v = -v - 5*b + 28, 0 = -3*v + b + 84. What is the remainder when 10022 is divided by v?
26
Let u = -205 + 87. Let g = -81 - u. Calculate the remainder when g is divided by (-2)/(-6) + (-112)/(-6).
18
Suppose 6678 = 34*f - 2944. What is the remainder when 312 is divided by f?
29
Suppose 0 = -s - 5*l + 31, -81 + 69 = 3*l. Let y(r) = 2*r**3 + r**2 - 2*r + 15. What is the remainder when s is divided by y(0)?
6
Suppose -4*r + 26 = 62. Suppose -3*w = -18*x + 14*x + 86, 5*x = -3*w + 94. What is the remainder when 2728/20 - r/15 is divided by x?
17
Suppose 69 = 4*a - 95. What is the remainder when a is divided by (96/40)/(32/80)?
5
Let d = 8105 - 8030. What is the remainder when 835 is divided by d?
10
Suppose -5*p - 4*r + 49180 + 1153 = 0, -30179 = -3*p - 5*r. Calculate the remainder when p is divided by 210.
203
Suppose 0 = -5*a + 3*i - 12, 4*a - i - 20 = -6*i. Suppose m + 126 - 149 = a. Let u = -19 + 54. What is the remainder when u is divided by m?
12
Let y(r) = r**3 - 4*r**2 + r - 12. Suppose -5*m - m + 72 = 0. What is the remainder when y(5) is divided by ((-7)/(-2))/(6/m)?
4
Let x = 86 + 5. Let h = x - 0. Calculate the remainder when h is divided by 31.
29
Suppose 2*w + 3*w + 20 = 0. Let k be (-1 - (w - -1))*375. Suppose 0 = 5*j + 5*a - k, -2*a + 4*a = 2*j - 316. Calculate the remainder when j is divided by 31.
30
Let d = 979 + -796. Suppose 13*w - 740 - d = 0. Calculate the remainder when 349 is divided by w.
65
Let z be 24/52*9 + 4/(-26). Suppose z*v - 130 = -2*o, 0*v + 5*o + 137 = 4*v. Calculate the remainder when (v/9 + -1)*66/8 is divided by 12.
10
Let b(n) = -n**2 + 9*n + 7. Let v = 90 - 86. Let x = -12 - -23. Calculate the remainder when b(v) is divided by x.
5
Let b = -51 - -65. Suppose 9*a = b*a. Suppose a*m = m + 3, 5*g - 114 = 3*m. Calculate the remainder when 81 is divided by g.
18
Suppose 0 = -5*w + 15, -f - 3*w = 2*f - 147. Suppose -174*s + 168*s + 1926 = 0. Let v = s + -92. What is the remainder when v is divided by f?
45
Suppose -3*r + 5*o - 5 = -4*r, 3*o - 27 = -3*r. Suppose -5*p + n - 661 = -r*p, -n + 262 = 2*p. Calculate the remainder when p is divided by 2/(-3) + 274/6.
43
Let i be (-9)/12*(3696/(-18))/11. Suppose i*j = -562 + 3950. What is the remainder when j is divided by 78?
8
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