2*b - 5*j - 6, -2*j + 2 = 2*b. What is the remainder when (65/b)/(10/(-30)) is divided by 17?
14
Suppose -20 = 4*p - 9*p. Suppose -4*w + p + 0 = 0. Suppose b = -2*m + 15, 2 = m + w. Calculate the remainder when b is divided by 8.
5
Suppose -4*j - 29 = -5*b, 18 = 4*b + j + j. Calculate the remainder when 6 - (-1 + 10) - -19 is divided by b.
1
Let g(r) = -r**3 - 4*r**2 - 6*r - 6. Suppose -45 = -29*w + 158. Calculate the remainder when g(-4) is divided by w.
4
Suppose -5*u + 483 = -p, -2*u = p + 2*p - 183. What is the remainder when (u/15)/(1/5) is divided by 19?
13
Calculate the remainder when 6/1 + 18*30 + 3 is divided by 92.
89
Let q(x) = -x**3 + 4*x**2 + 13*x + 1. Calculate the remainder when 9 is divided by q(6).
2
Suppose -13*h + 1157 = -299. Calculate the remainder when h is divided by 112.
0
Calculate the remainder when 202 is divided by (-14 + 16)*(26 + 0).
46
Let f(q) = -7*q - 27. What is the remainder when f(-10) is divided by 1/(1/14) + -3?
10
Let g be -2 + -117 + 4 + -5. What is the remainder when 31 is divided by (-10)/(-3)*g/(-25)?
15
Calculate the remainder when 50 is divided by (-64)/(-480) - (-626)/30.
8
Suppose 30 = 9*b - 3*b. Let w = 104 + -87. Calculate the remainder when w is divided by b.
2
Suppose 2*l + 2*g = 168, 4*g = -3*l + 137 + 112. Calculate the remainder when l is divided by 45.
42
Let q = -47 - -97. Suppose -4*x - 4 = -2*x - 4*c, -5*x + q = 5*c. Let d = x + 3. Calculate the remainder when 16 is divided by d.
7
Let l = 72 - 77. What is the remainder when (-3 + -17)*(-3 + (-11)/l) is divided by 9?
7
Suppose 2*n - 4*m - 64 = 0, 3*m - 84 = -2*n + 2*m. Let b(w) = w**2 - 4*w - 14. What is the remainder when b(10) is divided by n/12*(-96)/(-20)?
14
Let q(a) = a**2 - 70*a + 783. Suppose -3*z + 164 = -z. What is the remainder when z is divided by q(57)?
40
Suppose 770 = 5*g + 2*t, -2*g + 4*t + 56 = -252. What is the remainder when 3078 is divided by g?
152
Let g = -1189 + 1730. Calculate the remainder when g is divided by 138.
127
Calculate the remainder when (-2)/((-4)/537) + 3/(-2) is divided by 39.
33
Suppose 0 = -l - 3, 2*l - 7098 = -4*x + 2460. Calculate the remainder when x is divided by 92.
91
Let l(a) = -2*a**3 - 5*a**2 - 8*a - 5. Let d be l(-3). Suppose -d = 7*z - 8*z. What is the remainder when z is divided by 9?
1
Let u be 16/24 + (-19)/(-3). Suppose -u*h = -2*h - 20. Suppose h*x - 27 = x + g, 3*x - 18 = 4*g. Calculate the remainder when 18 is divided by x.
8
Suppose 3*o - 2*o - 2*q = 60, 348 = 5*o + 2*q. What is the remainder when o is divided by 31?
6
Suppose -157 + 51 = -2*g. Let v be (20/25)/((-1)/(-5)). Let c = 10 + v. What is the remainder when g is divided by c?
11
Let j = -41 + 71. What is the remainder when 268 is divided by j?
28
Suppose 174*n - 144*n = 210. What is the remainder when 204 is divided by n?
1
Let z(v) = 4*v**2 + 4*v + 2. Let p = 24 - -10. Suppose i + i = p. Calculate the remainder when i is divided by z(-2).
7
Suppose -5*l - 25 = 0, 5*x - 3*l = 4*x + 28. Let o = 18 - x. Calculate the remainder when 29 is divided by o.
4
What is the remainder when 164 is divided by (9/(-12) + (-38)/(-24))*18?
14
Suppose 0 = 6*z - 115 - 107. Calculate the remainder when z is divided by 10.
7
Let t(u) = u**3 - 24*u**2 + 23*u + 88. What is the remainder when t(23) is divided by 44?
0
Let f = 12 + 32. Let q = -8438 + 8521. Calculate the remainder when q is divided by f.
39
Let y = 34 - 31. Suppose -5*x - 2*n + 180 + 59 = 0, 0 = -y*x + n + 139. What is the remainder when x is divided by 8?
7
Let r = 11 + 7. Suppose -198*t = -190*t - 80. What is the remainder when r is divided by t?
8
Suppose 5*q = d - 2*d - 143, -5*d + q - 611 = 0. Let k = d - -200. Calculate the remainder when k is divided by 27.
23
Let p = 2303 - 2267. What is the remainder when p is divided by 36?
0
Suppose -2*b - 2*c - 60 = 0, -3*b - 100 = 4*c - 3*c. Suppose -w + 13 = -0*w. Calculate the remainder when -1*5*252/b is divided by w.
10
Suppose 16*k - 11*k + 110 = 0. Calculate the remainder when 18 is divided by k*((-27)/6 - -4).
7
Let u = 109 + -124. Calculate the remainder when 28 is divided by ((-2)/6)/(1/u).
3
Suppose -3*f + 5*n = -588, 4*n = 4*f - 1052 + 268. What is the remainder when 97 is divided by (-4)/(-10) + f/10?
17
Let t = 48 + -34. Calculate the remainder when 137 is divided by t.
11
Let y = -972 + 973. What is the remainder when 6 is divided by y?
0
Suppose -12*v + 11*v = 2*u - 226, -3*v = -12. Suppose 114*o - 18 = u*o. What is the remainder when o is divided by 2?
0
Let m(u) = -15*u - 1. Let c be ((-12)/(-3))/(1 + 1). Suppose -4*z - 2*i + 36 = 0, -i = -c*i + 2. Calculate the remainder when m(-2) is divided by z.
5
Suppose 0 = c - 3*b + 20, c + b = 2*b - 10. Let x(n) = -2*n**3 - 8*n**2 - 6*n - 9. What is the remainder when x(c) is divided by 18?
17
Suppose 3*b + 1 = 7, -5*b = p + 257. Let k = -174 - p. Let t = 17 + 7. What is the remainder when k is divided by t?
21
Suppose -64 = -2*g - 2*g. Let y = -10998 - -11047. Calculate the remainder when y is divided by g.
1
Calculate the remainder when 7 - 23/(207/(-720)) is divided by 41.
5
Let y(p) = 24*p - 60. What is the remainder when 177 is divided by y(4)?
33
Let k(a) = -3*a - 4. Let g be k(-3). Suppose 0 = -5*t + 3*q + 30 - 3, 35 = g*t - 5*q. What is the remainder when (64/14 + -2)/(42/196) is divided by t?
0
Let m(b) = 2*b - 6. Let l be m(-12). Suppose 0 = -f + 1 - 3. What is the remainder when 17 is divided by (l/(-3)*-1)/f?
2
Suppose -5*v - i = -0*i - 40, 3*i + 51 = 4*v. Suppose -109 = -3*q + 2*h + 192, -q + 2*h = -103. What is the remainder when 3/12 - q/(-4) is divided by v?
7
Let o(t) = 6*t + 85. Calculate the remainder when o(6) is divided by 31.
28
Let s be (-1*(-9)/(0 + 3))/3. What is the remainder when 28 is divided by 9 - (2/s + -3)?
8
Let v = 336 + -239. Suppose 3*y + 49 = u + 2*y, 4*u + 2*y = 202. What is the remainder when v is divided by u?
47
Suppose -20*j = -24*j + 12. Suppose 6 = -j*c + c, 4*c - 4 = -4*k. Calculate the remainder when 12 is divided by k.
0
Let d(b) = -b**3 + 6*b**2 - 7*b - 1. Let o(f) = f - 3. Let h be o(6). Let a be d(h). Let m = a - -5. Calculate the remainder when 47 is divided by m.
7
Let j = -127 + 135. Calculate the remainder when 8 is divided by j.
0
Let n(u) be the first derivative of -13/2*u**2 + 7 + 1/3*u**3 + 18*u. What is the remainder when 53 is divided by n(13)?
17
Let d be (((-192)/(-40))/(-2))/((-2)/105). Let n = -33 + d. What is the remainder when n is divided by 8?
5
Let v(p) = -p**3 - 21*p**2 - 49*p - 144. Calculate the remainder when 649 is divided by v(-19).
64
Let q(f) = 18*f**2 + 698*f - 29. What is the remainder when 388 is divided by q(-39)?
7
Let s be (5 - 18)*(0 - -7)/(-1). Suppose -86 = -3*i + s. Suppose 0 = 6*f - 2*f - 60. Calculate the remainder when i is divided by f.
14
Let p be 3*(-4)/(-24)*-4. Let w = p + 5. Suppose v + w*v = 88. What is the remainder when v is divided by 6?
4
Let r(z) = 5*z - 7. Let s be r(-11). Let h = s - -68. Suppose 0*g + 4*g = 88. What is the remainder when g is divided by h?
4
Let n(u) = 136*u - 6. Let g be n(-1). Let t = g - -146. What is the remainder when 17 is divided by t?
1
Let x(r) = -r. Let c be x(10). What is the remainder when ((-76)/(-8) - 1)*2 is divided by (-12 + 5)*c/7?
7
Suppose -2*q + 5*v + 4 = -138, 0 = -2*v + 8. What is the remainder when q is divided by 0 + 9 - (3 + 29)/(-4)?
13
Let u(m) = -4*m + 191. What is the remainder when 132 is divided by u(44)?
12
Suppose 4*q - 8 = 12. Let k be ((-2)/q)/(3/(-195)). Suppose -28 = -a - 4*u, a + 5*u - k = -3. What is the remainder when a is divided by 10?
8
Suppose 4*t + 4 = -0*t, 4*b = -4*t + 4. Suppose n = b - 0. Suppose -3*a + 11 - 39 = -n*d, -d + 14 = 3*a. Calculate the remainder when 41 is divided by d.
13
Suppose 0 = -5*m + 4*i + 235, i = -2*i. Calculate the remainder when 139 is divided by m.
45
Suppose 470*n = 3*v + 472*n - 67, v = -n + 22. Suppose 15 = 3*a, 2*c - a = 2*a - 3. What is the remainder when v is divided by c?
5
Let r = -46 + 34. What is the remainder when 74 is divided by (4/r)/(2/6) - -39?
36
Calculate the remainder when 55 is divided by (-41)/(-4) - (-4)/(-13 - 3).
5
Let s be (-8)/6*(-16 + 13). Let q = -4 + 7. Suppose 0*i - 3*o - 39 = -4*i, s*o = q*i - 31. What is the remainder when i is divided by 4?
1
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