51 = -5*c. Calculate the remainder when c is divided by 23.
22
Let c(o) = o**3 - 8*o**2 + 3*o - 6. Let g be c(7). Let d = 55 + g. Let f = -20 - -28. Calculate the remainder when d is divided by f.
5
Let s = -15 + 15. Suppose 12 = 3*z, s*n = -3*n - 5*z + 59. What is the remainder when n is divided by 5?
3
Suppose -5*m + 140 = -f + 47, 4*m - 70 = 3*f. Calculate the remainder when 53 is divided by m.
15
Let d = -4 - -8. Suppose d*l + 5*w = 170, -l = 5*w + 14 - 49. Suppose -20 = 4*g, l = 5*u - 2*g - 0*g. Calculate the remainder when u is divided by 4.
3
Suppose 12*i - 1629 - 438 = -41*i. Suppose -5*c = 2*k - 2 - 0, -3*c = 5*k - 43. Calculate the remainder when i is divided by k.
6
Suppose u - 2 + 0 = 0. Let r be (8/14)/(u/7). What is the remainder when r/(0 - (-2)/18) is divided by 10?
8
Suppose 156 = 2*g + 24*g. Calculate the remainder when 11 is divided by g.
5
Suppose -5*m - 10 = 0, -10*r + 6*r + 5*m + 90 = 0. What is the remainder when 49 is divided by r?
9
Calculate the remainder when 124 is divided by (-16)/(-12) + (-59)/6*-2.
19
Suppose 2*s - 21 = -3*o, 0*s + 4*s - 2*o = 34. Let f = 10 + s. Let t(w) = 14*w**2 - 224*w - 448. What is the remainder when t(-2) is divided by f?
18
Let a(r) = r**2 - 62*r - 235. Calculate the remainder when 141 is divided by a(-4).
25
Let h(n) = 4*n**2 - n. Let g be h(-1). Let s(p) = -p + 7. Let k be s(g). What is the remainder when 47 is divided by (-4)/(k*(-2)/16)?
15
Let g = -182 - -279. Let w = -13 - -46. What is the remainder when g is divided by w?
31
Suppose -3*r + n = -183, -5*r + 3*n + 191 = -110. What is the remainder when r is divided by 50?
12
Let a = -65 + 98. Let c be (12/20)/(3/(-75)). Let q = c - -24. Calculate the remainder when a is divided by q.
6
Let g = 39 - -43. What is the remainder when g is divided by 18?
10
Let i = 12 - -3. Let c = 26 - i. Calculate the remainder when 19 is divided by c.
8
Suppose 15 = 5*u - 95. Let d be (-3 - 0 - -2)*0. Suppose 0 = 6*j - d - 36. Calculate the remainder when u is divided by j.
4
What is the remainder when (4 - 4) + 1141/7 is divided by 5?
3
Let g be (1 + 3/6)*-80. Let f = 185 + g. What is the remainder when f is divided by 24?
17
Let g(u) = -u**3 + 17*u**2 - 31*u + 35. Let v be g(15). Suppose -5*o - 270 = -v*o. What is the remainder when 32 is divided by o?
14
Let s be 29*(-5)/(-10)*2. Let k = s - 10. Calculate the remainder when k is divided by 5.
4
Suppose -2*b - 3*y = 24, 2*b + 0*b + 5*y + 28 = 0. Let m(k) = k**2 + 5*k - 14. Calculate the remainder when 63 is divided by m(b).
19
Let i(h) = -13*h. Let c be i(-1). Let l = 33 - c. Suppose 3*p + 4*m = 215, -2*p = 12*m - 9*m - 142. Calculate the remainder when p is divided by l.
17
Let m(c) = 4*c + 33. Calculate the remainder when 16 is divided by m(-5).
3
Let r be 534/10 + (-8)/20. Suppose -4 - r = -d. What is the remainder when d is divided by 29?
28
Suppose -3*f + 52 = -125. What is the remainder when f is divided by ((-20)/3)/(20/(-30))?
9
Suppose 0 = -0*m - 2*m + 98. Suppose -4*n + 5*j = -104, -3*n + 2*j = 13 - 91. Calculate the remainder when m is divided by n.
23
Let f(s) = 7*s + 42. Let u be f(-6). Suppose 224 = 2*h + a, u = 4*h - 0*h - 4*a - 424. Calculate the remainder when h is divided by 28.
26
Let l(p) = p**3 - 2*p**2 - 4. Let b be l(3). Suppose 3*x + 4 + 13 = 4*r, -b*x = 2*r - 41. Calculate the remainder when -2 + 0 + 344/r is divided by 14.
13
Let f(y) = -11*y - 84. Let n be f(-5). Let q = -110 + 76. Let g = n - q. What is the remainder when 24 is divided by g?
4
Let v = 657 + -545. Calculate the remainder when v is divided by 12.
4
Let f be 4/6 - 1144/(-12). Suppose 5*u - f + 6 = 0. Calculate the remainder when 53 is divided by u.
17
Suppose -3*u - 1 = 5*k, -k = 5*u + k + 8. Let t = 34 + u. What is the remainder when 127 is divided by t?
31
Suppose -689 = -4*l + 127. Let s be ((-4)/3)/((-8)/l). What is the remainder when s/4 + 1/(-2) is divided by 5?
3
Let t be (3 + 3)*(-31)/(-2). Let w = t - -64. Suppose -3*l = -197 - w. Calculate the remainder when l is divided by 30.
28
Let h be (24/10)/((132/(-920))/(-11)). Suppose -4*u - h = -12*u. What is the remainder when u is divided by 5?
3
Let s(q) = -10*q - 36. Let x be s(-13). Let y = -63 + x. Calculate the remainder when 54 is divided by y.
23
Suppose 4*x - 671 = 157. What is the remainder when x is divided by 21?
18
Let b(y) = 5*y**2 + y. What is the remainder when 18/10*(-6 + 11) is divided by b(1)?
3
Suppose 0*j = -3*j - 5*a + 119, -a = -4. Let z = j + 82. Calculate the remainder when z is divided by (-5)/(-10)*(-2 + 60).
28
Let p(a) = -a. Let j be p(-4). Suppose -7*s + 2*s = -3*c + 71, 0 = j*c + 2*s - 60. Calculate the remainder when 82 is divided by c.
14
Suppose -850 = 4*k + 34. Let j = -212 - k. Let c(n) = -10*n + 2. What is the remainder when c(-2) is divided by j?
4
Suppose 5*g + 8*g - 1144 = 0. Calculate the remainder when g is divided by 45.
43
Let a = 18 + -1. What is the remainder when a is divided by (104 - 101)*(-20)/(-6)?
7
Suppose 0 = -3*i - 9*i + 312. What is the remainder when 54 is divided by i?
2
Suppose -26 = -2*l - 6. Let n = l + -8. Let u = 11 + -6. What is the remainder when u is divided by n?
1
Let m = 112 - -529. Suppose -m*y + 14 = -639*y. What is the remainder when y is divided by (-4)/2*1*-2?
3
Calculate the remainder when 340 is divided by 28/98 + (1 - 1002/(-21)).
46
Let l(w) = -w**3 + 6*w**2 - 14*w - 18. What is the remainder when 64 is divided by l(-1)?
1
Let j(v) = -2289 + v - 6*v + 2295. Calculate the remainder when j(-11) is divided by 16.
13
Let c = -66 + 96. Suppose a + 2*a = c. What is the remainder when 39 is divided by a?
9
Suppose -4*j + 3*g + 374 = 0, g - 148 = -3*j + 139. What is the remainder when 1518 is divided by j?
93
Let k(v) = -2*v - 21. Let f be k(-10). Calculate the remainder when 14 is divided by (-16)/10*(f - 4).
6
Suppose -2*u + 320 = 2*u. Let k = u + -39. Calculate the remainder when k is divided by 6.
5
Suppose 40 = -5*x - 5. Let g be -42 + 2/((-6)/x). Let h = g - -55. Calculate the remainder when h is divided by 6.
4
What is the remainder when 22 is divided by 350/84 + (-3)/18?
2
Suppose 666*c - 764 = 662*c. What is the remainder when c is divided by 66?
59
Suppose -8*z - 195 = -363. What is the remainder when 115 is divided by z?
10
What is the remainder when 41/2*(7 + -12 + 7) is divided by 4*1/(-2) + 16?
13
Let r(m) = -2*m - 8. Let q be r(-5). Let n(p) = 5*p**3 - p**2 + p. Let w be n(q). Let d = w - 12. Calculate the remainder when d is divided by 7.
5
Suppose w - 5*s - 9 = 0, 22*s = 5*w + 25*s - 101. What is the remainder when w is divided by 6?
1
Let z(v) = -4*v + 1. Let w be 3 + -3 + -3 - -2. What is the remainder when 22 is divided by z(w)?
2
Suppose 2*x + 3*m - 43 = 0, -x + m = -m - 4. Calculate the remainder when 4561 is divided by x.
11
Let d(x) = x**3 - 6*x**2 + 9*x - 17. Let b(p) = -3*p. Let j(y) = -y**2 + y + 1. Let s(c) = -b(c) - 3*j(c). What is the remainder when d(7) is divided by s(-3)?
23
Let n(d) = -d**3 + 20*d**2 - 34*d + 34. Let k(g) = -18*g. Suppose 0 = o + 3, -4*y - 2*o = -0*o + 10. What is the remainder when n(18) is divided by k(y)?
16
Let o = -2132 - -2153. What is the remainder when 81 is divided by o?
18
Let g(o) = o**2 + 28*o + 169. Let n(k) = k**3 + 4*k**2 + 3*k. Let p be n(-2). Suppose -f - p*f = -45. What is the remainder when f is divided by g(-20)?
6
Let i(d) = -d**3 + 7*d**2 - 3*d + 5. What is the remainder when 56 is divided by i(6)?
10
Let c = 434 + -418. Suppose 4*t = -3*s + 76, 0*t = 3*t - 12. Calculate the remainder when (-2)/(-8) + 1535/s is divided by c.
13
Let h = 1073 + -894. What is the remainder when h is divided by 14?
11
Suppose 4*y = -3*x + 25, -4*x + x - 2*y + 17 = 0. Suppose 3*w = -2*z + x*z + 15, -z = -w + 11. What is the remainder when 1/(-3) + (-201)/z is divided by 8?
6
Let d = -106 - -118. Calculate the remainder when 213 is divided by d.
9
Suppose -a + 25 = 4*f + 1, -3*a = 4*f - 48. What is the remainder when 91 is divided by a?
7
Let v(i) = -2*i**3 + 13*i**2 + 8*i - 1. What is the remainder when v(6) is divided by 45?
38
Calculate the remainder when (-230)/(-26) + (120/(-65) - -2) is divided by 4.
1
Let f(r) = -40*r**3 + 79*r**3 + 3 - 38*r**3 - 5*r + 0. Calculate the remainder when f(4) is divided by 8.
7
Let y be (25 - 9) 