
1
Let r be 66/(-12) - -5 - (-2)/4. Suppose r*b - 4*b + 92 = 0. What is the remainder when b is divided by 13?
10
Let s = -14 - -26. Let i = -7 + s. What is the remainder when i is divided by 4?
1
Suppose 4*s + 4*q = -8, -2*q - 2*q = 2*s + 6. Let b be s + (-2)/(-2) + 22. Let l = b + -18. Calculate the remainder when 11 is divided by l.
3
Let l = -8 - -11. Suppose -l*v + 33 = -2*v. Suppose 2*x = -x + v. What is the remainder when x is divided by 7?
4
Let v(b) = 3*b - 48. Let c be v(16). Let l = -2 - -6. Suppose x - 3*z - 24 = c, -l*x + 0*x + 60 = -3*z. Calculate the remainder when x is divided by 6.
0
Suppose -4*a + 567 = 3*k, -6*a = 5*k - 3*a - 945. Calculate the remainder when k is divided by 49.
42
Let n(m) = m**3 + 2*m**2 - 23*m + 42. What is the remainder when n(6) is divided by 43?
20
Let b(k) = k**2 - 5*k - 15. Let d(z) = 3*z**2 + 4*z + 4. Let h be d(-2). What is the remainder when 43 is divided by b(h)?
7
Let z = 9 - 17. Let s(h) = -h**3 - 9*h**2 - 7*h + 11. Calculate the remainder when 4 is divided by s(z).
1
Suppose 5*x + 29 = r, 2*x + 5 = -r + 27. Calculate the remainder when (-1803)/(-27) + 2/9 is divided by r.
19
Suppose 0*o - 9 = -o. Suppose 0 = 4*a - o*a - 470. Let q = a + 136. What is the remainder when q is divided by 15?
12
Suppose 0 = 4*d - 15 - 1. Suppose -2*p - 5*q + 53 = 0, 3*p - 83 = -2*p + d*q. What is the remainder when p is divided by 13?
6
Suppose 11*g - 559 = 101. Calculate the remainder when g is divided by 11.
5
Let l = -95 - -139. Calculate the remainder when 130 is divided by l.
42
Suppose 3*w = -v + 32, 5*v - 34 = -3*w + 18. Suppose -33*d = -30*d - 177. What is the remainder when d is divided by w?
5
Suppose -3*v + 9 = -6*v, 2 = 5*g + v. Calculate the remainder when 11 is divided by g.
0
Let x be ((-189)/28)/9 + 7/4. What is the remainder when 69 is divided by x/(-3) + (-219)/(-9)?
21
Let l = -96 - -166. Let t = l - 47. Calculate the remainder when t is divided by 6.
5
Let n = 1355 - 1185. Calculate the remainder when n is divided by 86.
84
Let d = 94 + -52. What is the remainder when d is divided by 4/(-18) + 400/18?
20
Suppose -78 - 159 = -3*p. Suppose 18*r - 405 = 3*r. Calculate the remainder when p is divided by r.
25
Let l(t) = t**3 - 13*t**2 + 2*t - 31. Let m be l(13). What is the remainder when 98 is divided by (-112)/(-3) + m - (-2)/3?
32
Suppose -3*s - 42 = -3*q, 7*s = 2*s - 15. What is the remainder when (-317)/(-8) - ((-2745)/120)/61 is divided by q?
7
Let j = 669 - 589. Calculate the remainder when j is divided by 23.
11
Let w be 0 - (2 - (2 + 1)). Let j = 49 + 61. Calculate the remainder when j is divided by (w - -29) + -3 + 1.
26
Suppose 2*n - 3*y = 61, -8*n + 2*y = -10*n + 46. What is the remainder when n is divided by 23?
3
Let f(c) = 25*c - 132. What is the remainder when f(11) is divided by 32?
15
Let h(z) = -34*z - 68. Calculate the remainder when 200 is divided by h(-3).
30
Calculate the remainder when 230 is divided by 918/(5 - -4) - -8.
10
Let u(m) = m**3 + 20*m**2 + 18*m - 13. Let h be u(-19). Suppose h*r - 52 = 2*r. Calculate the remainder when r is divided by 2.
1
Suppose -3*t - 3 = 0, -5*t + 45 = -0*q + 5*q. Let i(u) = u**3 - 2*u + 3. What is the remainder when i(4) is divided by q?
9
Let d = 16 + -15. Let k be d*-37*(1 + -2). Suppose -50 = -3*q + k. What is the remainder when q is divided by 10?
9
Let t = -21 + 31. Suppose 2*a + 3 = -5, -2*a = 5*g - 7. Calculate the remainder when t is divided by g.
1
What is the remainder when 6070/(-15)*(2 - (-35)/(-10)) is divided by 61?
58
Let y(p) = 3*p**2 - 3*p - 1. Suppose 0 = 18*r + 51*r - 4623. What is the remainder when r is divided by y(3)?
16
Suppose 14 = 2*x + 4*h, -4*h = 4*x - 10 - 22. Let i = 11 - x. Suppose -5*t - 4*s = -69, -3*s + 1 = -i*s. What is the remainder when 24 is divided by t?
11
Let o = -51 - -53. Let a(b) = b - 6. Calculate the remainder when o is divided by a(8).
0
Let a(u) = -u**3 - 11*u**2 + 2. Let c be a(-11). Let s = c - -3. Suppose -s = d - 22. What is the remainder when 65 is divided by d?
14
Let l(k) = 23*k**3 - k**2 + 2*k - 1. Let h be (2/(-4))/((-22)/(-1320)). What is the remainder when h - -31 - (1 + -45) is divided by l(1)?
22
Let o(v) = v**3 - 4*v**2 - 5*v + 3. Let r be o(5). Suppose z = r*z - 6. Calculate the remainder when 15 is divided by z.
0
Let j(z) = 10*z - 20. Let l be j(7). Let g = 0 + l. What is the remainder when g is divided by 27?
23
What is the remainder when 170 is divided by 2/3*(-3 - -90)?
54
Let u = -245 + 251. What is the remainder when 20 is divided by u?
2
Suppose -g = -0 + 1, 5*n + g - 79 = 0. Calculate the remainder when -2*(152/(-16) + -5) is divided by n.
13
Let g = -6 + 28. Suppose -56 + 8 = -4*z. Calculate the remainder when g + (-2)/1 + 2 is divided by z.
10
Let h(u) = 2*u. Let n = 136 + -91. Calculate the remainder when n is divided by h(6).
9
Suppose -29*i + 31*i - 52 = 0. Let j(a) = 11*a**2 - a - 1. Suppose 0 = 2*t - 2*o + 16, -5*t + 5*o = 6*o + 10. What is the remainder when j(t) is divided by i?
23
Let d(u) = -7*u**2 - 18*u - 9. Let o(y) = y**2 + 1. Let j(a) = d(a) + 6*o(a). What is the remainder when 48 is divided by j(-17)?
6
Suppose 11 = 2*a - 9. Let c = -171 + 205. Calculate the remainder when c is divided by a.
4
Suppose 3*m - 3*g - 46 = 44, -2*m + 4*g + 60 = 0. Suppose -a - a = -m. What is the remainder when a is divided by (-58)/(-7) - (-4)/(-14)?
7
Let w(x) = 6*x**2 + 32*x + 2. Let p(g) = 5*g**2 + 31*g + 2. Let a(q) = -5*p(q) + 4*w(q). What is the remainder when a(-25) is divided by 13?
9
Let p be (-3 - -6)*(4/(-6))/1. Let t(s) = -35*s + 1. What is the remainder when t(p) is divided by 9?
8
Let s = -695 - -700. Suppose -g + 4*d - 31 = 0, 4*d = 5*g - 3*g + 50. What is the remainder when (g + -2 + 2)*-1 is divided by s?
4
Suppose 5*t = 11*t - 174. Suppose 3*w = -5*s + t, 5*w = 3*w + 6. Calculate the remainder when 19 is divided by s.
3
Suppose -2*g - 2*o = -100, 35 = g - o - 13. Suppose 4*r - 83 + 31 = 0. Calculate the remainder when g is divided by r.
10
Let d = -288 - -177. Let m = d + 373. Suppose -4*v = 5*j - 3*v - m, 2*v - 160 = -3*j. Calculate the remainder when j is divided by 14.
10
Let a = 23 + -15. Suppose g - 7*b + 3*b = 131, -5*g + 3*b = -723. Suppose -5*m + a*m - g = 0. Calculate the remainder when m is divided by 25.
24
Let w(t) = 28*t. Let a(x) = 182*x - 1063. Calculate the remainder when w(3) is divided by a(6).
26
What is the remainder when 187 is divided by ((-24)/14)/((-2)/28)?
19
Let y = 663 + -598. Calculate the remainder when 193 is divided by y.
63
Let c(p) = -123*p + 9. Suppose 0 = -2*j - 0*j - 6. Let h be c(j). Suppose -h = -4*l - 94. Calculate the remainder when l is divided by 24.
23
Let s(v) = 14*v - 1. Let n be s(3). Let h = n - 62. Let c = 30 + h. Calculate the remainder when c is divided by 5.
4
Suppose 2*f = 5*j - 98, 0 = 5*j - 5*f - 27 - 83. What is the remainder when 51 is divided by j?
15
Let i = 12 + 0. Calculate the remainder when 35 is divided by i.
11
Let t = 1 - -5. Let o(n) = n**2 - 40*n + 113. Calculate the remainder when t is divided by o(37).
0
Let a = -607 - -659. Calculate the remainder when 98 is divided by a.
46
Let i(x) = -x**3 + 14*x**2 + 33*x - 1. What is the remainder when 111 is divided by i(16)?
6
Let x(u) = -u**3 - 4*u**2 + 23*u + 92. What is the remainder when 127 is divided by x(-6)?
23
Let s = 240 - 213. Calculate the remainder when s is divided by 10.
7
Let l = 206 - 128. Let u = l - -35. Calculate the remainder when u is divided by 19.
18
Let d = 15 + -10. Suppose -3*v - d*m = -49, 2*v + 4*m = -2*v + 60. Calculate the remainder when v is divided by 5.
3
Suppose -5*j = 5*z - 4130, 3*z + 5*j = 7*z - 3295. What is the remainder when z is divided by 12?
9
Let z = 149 - 99. What is the remainder when z is divided by 17?
16
Suppose 45*l = 44*l - 2*f + 68, -2*l - 5*f + 141 = 0. What is the remainder when 163 is divided by l?
47
Suppose -11*s + 198 = 55. Calculate the remainder when 20 is divided by s.
7
Suppose 2*q = 2*w - 102, 0*q + 93 = -2*q + 5*w. Calculate the remainder when (-1)/(-2) - -1*q/(-4) is divided by 3.
2
Suppose 3*j - 154 = 2*g, 7 + 162 = 3*j - 5*g. Suppose j = 5*u - 7. Let z(h) = h**2 - 4*h - 2. What is the remainder when z(7) is divided by u?
8
Suppose 0 = 2*i - 5*m - 45, -5*i + 3*m + 98 = 5*m. Calc