ose -h*c + 1 = -3. Let u = c + 17. What is the remainder when u is divided by 5?
4
Let l be (2 - -44) + (2 - 2). Suppose 2*k + 4*a = 2 + 16, 0 = 5*k - 4*a - 45. Suppose 8*m = k*m - l. Calculate the remainder when m is divided by 24.
22
Let r(k) = -302*k + 86. Calculate the remainder when r(-5) is divided by 17.
15
Let m(v) = -v**3 + v**2 + 3*v - 2. Let t be m(3). Let d = -603 + 607. What is the remainder when (-2)/t - (-595)/55 is divided by d?
3
Suppose -825 = 32*q - 47*q. Calculate the remainder when q is divided by 6.
1
Let o(f) = -41*f + 31. Calculate the remainder when o(-8) is divided by 40.
39
Suppose -3*x + 7*u - 2*u = -1310, -4*x + 4*u + 1736 = 0. Calculate the remainder when (-12)/(-42) + x*2/28 is divided by 9.
4
Let c(d) = d**3 - 4*d**2 + 7*d + 77. Calculate the remainder when c(0) is divided by 8.
5
What is the remainder when -4 - (-125 + 6) - 5 is divided by 107?
3
Let b be 18 + -20 - (-4)/1. Suppose -4*u - 4*w = -148, u + b*w - 27 = 13. What is the remainder when 65 is divided by u?
31
Suppose 0*v - 4*q - 16 = -2*v, -2*v + 16 = 2*q. Suppose 0*f + 30 = 3*f + x, -15 = -2*f + x. What is the remainder when (126/v)/((-51)/(-136)) is divided by f?
6
Let d = 1 - -1. Suppose -3*x - 3*p = 0, -x - 2 = -2*x + p. What is the remainder when d is divided by (x/1)/(7 - 6)?
0
Suppose -104 = -s - 3*s - 4*a, -s + 6 = -3*a. Let r = s - 9. What is the remainder when 21 is divided by r?
9
Suppose -i - 43 + 65 = 0. What is the remainder when 109 is divided by i?
21
Suppose 3*a + 2*n - 28 = 15, 3*a = -n + 47. Let v = -806 - -348. Calculate the remainder when v/(-14) - (-14)/49 is divided by a.
16
Let i(q) = 10 + 3*q - 5*q - q - 4*q - q**2. Let v be i(-8). Suppose 0 = 3*a + v*l - 87, -l = -0*l - 3. What is the remainder when a is divided by 7?
6
What is the remainder when 287 is divided by 12/(-2)*1152/(-96)?
71
Let d = 995 - 980. What is the remainder when 237 is divided by d?
12
Let k be 60/18 + (-2)/6. Suppose 3*q - 258 = -4*n, k*n - 3*q = -0*n + 183. What is the remainder when n is divided by 17?
12
Let q be (-14)/((-34)/60 - (-56)/140). Let h be 6*((-6)/4 - -2). Suppose -q - 21 = -h*u. Calculate the remainder when u is divided by 9.
8
Suppose -2 = -5*w + u + 17, -5*w + 35 = -5*u. Suppose 4*r - w*r - 16 = 0. Suppose -j - j + r = 0. What is the remainder when 30 is divided by j?
6
Let o be (-6)/10 - 18/(-30). Let t = o + 24. Suppose -3*f + 3 = -24. What is the remainder when t is divided by f?
6
Let r = -184 + 230. What is the remainder when 123 is divided by r?
31
Suppose 5*a - 205 = -p, 123 = 3*a - 11*p + 10*p. Calculate the remainder when 52 is divided by a.
11
Suppose -6*u + u = -20. Suppose 0 = -u*s + 34 - 2. What is the remainder when s is divided by 3?
2
Let q(t) = t - 1. Let k(l) = l**2 - 21*l + 57. Let o(v) = k(v) - 5*q(v). Calculate the remainder when o(25) is divided by 19.
18
Let r be 1/1*-1*(-1 + -4). Let m(u) = 4*u**2 - 11. Calculate the remainder when m(r) is divided by 30.
29
Suppose -b - 19*s + 143 = -21*s, -5*b - 4*s = -715. What is the remainder when 1858 is divided by b?
142
Let j(y) be the second derivative of -y**4/12 + 11*y**3/6 - y**2/2 + 7*y. Calculate the remainder when j(8) is divided by 5.
3
Let g(t) = 6*t**2 + t - 3. Suppose 0 = -q + 6*q. Suppose 2*k = -b - 4*b - 9, q = -2*b - 4*k + 6. Calculate the remainder when g(b) is divided by 17.
14
Suppose 8 = -0*t + 2*t + 4*a, 0 = 4*t + 3*a - 41. Calculate the remainder when 1/2 - 70/(-4) is divided by t + -4 + 0 - 3.
4
Let m(a) = 21*a + 1. Let b(k) = -22*k - 1. Let g(q) = -6*b(q) - 5*m(q). Let o be g(1). Let c = o + -20. What is the remainder when 37 is divided by c?
5
Calculate the remainder when 285 is divided by (-48)/(-2) + (-1 + -17)/3.
15
Let g(i) be the third derivative of i**6/120 - i**5/12 - i**4/12 + 13*i**3/6 + 17*i**2. What is the remainder when 9 is divided by g(5)?
0
Let v(k) = k**3 - 2*k**2 - 6*k - 3. What is the remainder when (-1 + 1 + -1)*-20 is divided by v(4)?
0
Suppose 233*h - 243*h + 260 = 0. What is the remainder when h is divided by 11?
4
Calculate the remainder when 230 is divided by 4/24*-9*(1 - 3).
2
Suppose -11*b + 14*b = 3*z - 78, -3*b + 12 = 0. What is the remainder when 446 is divided by z?
26
Suppose 3*m - 2*m = 15. Suppose -f + 12*f = 99. Calculate the remainder when m is divided by f.
6
Let s(x) = x**2 - 2*x - 1. Let r(i) = -i**2 - 3*i + 4. Let b be r(-3). What is the remainder when (8/(-6))/((-568)/(-72) - 8) is divided by s(b)?
5
Suppose 4*y + 5*b = 829 + 733, 3*y - 1154 = 5*b. Calculate the remainder when y is divided by 33.
25
Let d(c) = -2*c**2 + 6*c - 4. Let v be d(4). Let z = v + 14. Suppose -47 = -3*m - z. Calculate the remainder when m is divided by 6.
3
What is the remainder when (-4 - -505)/(4 + -3) + 4 is divided by 13?
11
Let n(y) = y**3 + 19*y**2 + 2*y + 13. Let p be n(-19). What is the remainder when 27 is divided by (-20)/p*(-15)/(-2)?
3
Let w = -93 - -140. Suppose 2*r + 2*m - 18 - 12 = 0, -2*r - 3*m + 32 = 0. Calculate the remainder when w is divided by r.
8
Let i(p) = -p**2 + 11*p - 1. Let t(j) = -j + 15. Let g be t(7). Let z be 92/g - (-6)/(-4). Calculate the remainder when 25 is divided by i(z).
7
Let p(z) = -z**3 - 11*z**2 - 11*z - 10. Let t be p(-10). Suppose -23*o + 22*o + 17 = t. What is the remainder when 31 is divided by o?
14
Suppose -2 = 2*n - 4. Let q be 8 + (0 - (n - 0)). Let c = q - 4. Calculate the remainder when 9 is divided by c.
0
Suppose 0 = w + 4 - 5. Let l(j) = 9*j + 2 - 2 + 0*j - w. Calculate the remainder when 31 is divided by l(2).
14
Calculate the remainder when 276/506 + 10988/22 is divided by 24.
20
Let f(j) = -3*j - 1. Let n be f(-4). Let u(p) = -6*p**2 - 2*p**3 - 4 + n*p**2 + 8*p + p**3. Calculate the remainder when 21 is divided by u(6).
5
Let c(a) = -a**2 - 6*a + 60. Calculate the remainder when 24 is divided by c(4).
4
Let z(j) be the second derivative of j**4/4 + j**3/2 - j**2/2 - 2*j. Calculate the remainder when (-54240)/(-1120) - 6/14 is divided by z(-3).
14
Suppose -1 = -5*w + 9. Suppose -3*i + 8 = w*z - 4, 3*i = -3*z + 9. Let q = -509 - -518. What is the remainder when q is divided by i?
3
Suppose -33 - 189 = -3*c. Suppose -3*v + y = 2*v + 366, -5*v + 5*y - 370 = 0. Let a = v - -98. Calculate the remainder when c is divided by a.
24
Let j be (3 - (-32)/(-12)) + (-2)/6. Let p = -34 + 50. Calculate the remainder when p is divided by j/(-8) - (-9 - 0).
7
Let i(r) be the third derivative of -r**6/120 + r**5/5 - 7*r**4/24 + 2*r**3 + 12*r**2. What is the remainder when i(10) is divided by 16?
14
Let l be (14/28)/(3/126). Let a = 3 - 20. Let b = l - a. Calculate the remainder when b is divided by 13.
12
Suppose 2*c + 134 - 31 = s, 10 = 5*c. Let o = 181 - s. Calculate the remainder when o is divided by 25.
24
Suppose 0 = -4*i + 5*o - 4, 2*i + 9 = 5*o - 3. Let w(f) = 2*f**2 - 7*f + 7. What is the remainder when 42 is divided by w(i)?
9
Suppose 2*t = 129 + 87. What is the remainder when t is divided by ((-116)/6 + 7)*69/(-23)?
34
Suppose 20 = 9*p - 5*p, 4*g - 4*p = 152. Calculate the remainder when 62 is divided by g.
19
Suppose -3*u = 12, -3*p - 35*u + 162 = -38*u. Calculate the remainder when p is divided by 18.
14
Suppose -5*a + x = -4*x - 5, -5*a + 7 = -4*x. Suppose -6*o + 11*o + 5*v - 165 = 0, -5*o = a*v - 171. Calculate the remainder when o is divided by 17.
2
Suppose 2*p - 5*q = -16, p = 5*q - 10 - 8. Suppose 20 = m - p. Suppose 3*g + 0*h - 205 = -4*h, 138 = 2*g + 3*h. What is the remainder when g is divided by m?
19
Calculate the remainder when (-48)/36*(-780)/8 is divided by 9.
4
Let p = 141 + 8. Let n(r) = -r**2 + 20*r - 8. What is the remainder when p/5 - (-3)/15 is divided by n(19)?
8
Let p(n) = -116*n**3 - 2*n**2 - 2*n + 1. What is the remainder when p(-1) is divided by 38?
3
Suppose -21*w + 624 = -17*w. Let a = w - 70. What is the remainder when a is divided by 23?
17
Suppose 6*a - 3*z = a + 38, 5*z = -4*a + 23. Suppose -f - 7 = a*q - 4*q, -3*f = 5*q + 9. Let d = 21 - 15. What is the remainder when d is divided by f?
0
Suppose -588 = -9*a + 2*a. Suppose y + 1 = -h + 26, -5*y = -4*h + 136. Calculate the remainder when a is divided by h.
26
Let f be (1 - 15/9)*-3. Suppose f*l - 3*i + 2 = l, -4*l - 4*i = 8. Calculate the remainder when -1 - (l + (-42 - -1)) is divided by 11.
9
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