What is the remainder when 61 is divided by k?
26
Suppose -129 = -5*g - 29. Let l = 23 - g. Calculate the remainder when 7 is divided by l.
1
Suppose 3*h + 12*r - 120 = 8*r, -2*h - 2*r = -78. Calculate the remainder when h is divided by 11.
3
Let i(c) = -c**2 - 13*c + 57. Let z be i(-16). Suppose z*j + 408 = 11*j. What is the remainder when j is divided by 41?
40
Let j = 1317 + -1070. What is the remainder when j is divided by 36?
31
Let y be 10/(-4)*(-12)/5. Suppose 3*u - y = 0, 2*u - 6 = -h - 0*h. What is the remainder when 66 is divided by h*(51/(-2))/(-3)?
15
Suppose -4*b + 28 = -z + 5*z, -b - 4*z = 8. Suppose -172 = -4*j + 4*p, -3*p + 0*p + 135 = 3*j. Calculate the remainder when j is divided by b.
8
Suppose -7*s - 126 = -16*s. Suppose 5*t + f = -3*f + 58, -t + s = 2*f. Calculate the remainder when t is divided by 3.
1
Let i = -78 - -122. Let m = i + -19. Calculate the remainder when m is divided by 9.
7
Suppose -4*v + 2*v = -5*f + 5, 0 = -5*v + 5*f + 10. Suppose 4*z + 2*x = z + 11, 20 = 5*z + v*x. What is the remainder when (-4)/14 - (-130)/14 is divided by z?
0
Let w be (-14)/(-10) + 8/(-20). Let f(k) = -3*k - 1. Let b be f(w). Calculate the remainder when (-74 - 2)/b - -2 is divided by 8.
5
Suppose 2*v - 11*v = -90. Suppose -x + v = -9. Suppose -220 = -g - 3*g. What is the remainder when g is divided by x?
17
Let y(d) = -102*d - 27. Let k be y(15). What is the remainder when 128 is divided by k/(-36) - (10/8 - 1)?
42
Let r be (-980)/(-3) - (40/(-12) + 4). Suppose -5*s + 2*c + 520 = 0, 0 = -4*s + s + 4*c + r. What is the remainder when s is divided by 15?
12
Let f = 77 + -67. Suppose 0 = 5*g - 0 - 10. Calculate the remainder when f is divided by (2 - 1 - g) + 7.
4
What is the remainder when 10 is divided by ((-6)/5)/((-468)/45 - -10)?
1
Let l(n) = -10*n + 18. Let s be l(-7). Suppose s = 16*q - 8*q. What is the remainder when 21 is divided by q?
10
Suppose -2 - 13 = -3*i. Let u(g) = -g + 8. Let h be u(8). Let o(n) = n**2 + n + 13. Calculate the remainder when o(h) is divided by i.
3
Let d = -1410 - -1443. Let o = -4 + -2. Let q = 11 - o. What is the remainder when d is divided by q?
16
Suppose -21*l + 550 = -11*l. Calculate the remainder when 548 is divided by l.
53
Let p = -7 + 462. Suppose -4*g = -4*t - g + p, 3*t = 2*g + 341. Suppose o + 53 = 4*o + 5*v, 0 = 5*o - 4*v - t. Calculate the remainder when 62 is divided by o.
20
Suppose 45*m + 80 = 46*m - 4*t, 0 = 3*m + 5*t - 155. Calculate the remainder when 295 is divided by m.
55
Suppose -5*v + 116 = k - 169, v + k = 61. Calculate the remainder when v is divided by 40.
16
Let v(u) = -u + 1. Let x be v(9). What is the remainder when 75 is divided by x/((1/5)/(6/(-15)))?
11
Suppose 2*k + 2*k = -92. Suppose 0 = 3*u - 68 - 112. Let q = k + u. Calculate the remainder when q is divided by 20.
17
Suppose -20 = 3*b + 5*f - 62, 0 = -f. Suppose -7*u + 280 + 294 = 0. What is the remainder when u is divided by b?
12
Suppose -2 = 4*b - 3*b, b + 88 = 2*a. Calculate the remainder when a is divided by 17.
9
Let s = 10 - 6. Let w(a) = 2*a**3 - 7*a**2 - 24*a + 84. Calculate the remainder when s is divided by w(3).
1
Suppose 3*q = -5*h + 16391 - 5843, 2*q - 10547 = -5*h. What is the remainder when h is divided by 66?
63
Suppose 36 = g + 8*g. Calculate the remainder when 33 is divided by g.
1
Suppose -10*f - 38 + 168 = 0. Suppose -g + 8 = -2. Let c = f - g. What is the remainder when 11 is divided by c?
2
Calculate the remainder when 282 is divided by (-6)/(-57) - (-372)/76.
2
Calculate the remainder when 60 is divided by 28 + (-5 - (-81)/9).
28
Let b = 133 - 14. Calculate the remainder when b is divided by 67.
52
Suppose 2*c - 2*i - 5 = -1, 3*i = 12. Suppose -q - 10 = -c*q, -12 = 4*s - 2*q. Calculate the remainder when 36 is divided by s/(-4) - (-273)/14.
16
Let k = -97 - -129. Calculate the remainder when 122 is divided by k.
26
Let t = 38 + -18. What is the remainder when ((-7)/2)/(62/(-1364)) is divided by t?
17
Let s = 22 - -7. Suppose 74 = 4*j - 2*l, -14*j = -10*j + l - 53. Calculate the remainder when s is divided by j.
14
Suppose a - 2*a - 4*v + 27 = 0, -a = -4*v - 67. Calculate the remainder when 372 is divided by a.
43
Calculate the remainder when 451 is divided by -1*2 + 40 + 0/209.
33
What is the remainder when (2248/(-20))/(1*3/(-30)) is divided by 49?
46
Let c = 1083 - 324. Calculate the remainder when c is divided by 95.
94
Let k = 1037 + -1021. What is the remainder when 894 is divided by k?
14
Let k = -314 - -429. Let o(s) = 2*s**3 - 2*s**2 - s. Let f be o(2). Suppose -41 = -f*v + k. Calculate the remainder when 49 is divided by v.
23
Let t(a) = 9*a - 7. Suppose -4*n + 126 + 7 = -3*m, -3*m = 2*n - 53. Calculate the remainder when t(11) is divided by n.
30
Let g be 21/147 + (-166)/(-14). Calculate the remainder when 14 is divided by g/10*30/9.
2
Suppose 4*k = 4*d + 8, -d = 2*d - 2*k + 4. Suppose p = -d*p. Suppose p = 3*n + n - 76. Calculate the remainder when n is divided by 10.
9
Let q(p) = 9*p - 35. Let i = 96 - 58. What is the remainder when i is divided by q(5)?
8
What is the remainder when ((-66)/9)/11 + 1217/3 is divided by 34?
31
Let s be (-52 + -74)/(2/6*-1). Let m = -253 + s. Calculate the remainder when m is divided by 16.
13
Suppose 3*i = h - 36, 24 = -i - i + 5*h. Let q(r) = -r - 8. Let w be q(i). Let j = -1 + w. What is the remainder when 3 is divided by j?
0
Suppose 0 = -5*p - 3*f - 1, -4*p - 21 + 7 = -2*f. What is the remainder when 1/(p/33)*(-15 - -13) is divided by 6?
3
Let l(n) = n**2 - 9*n - 13. Let k(a) = a**2 - 10*a + 2. Let o be k(4). Let u = o + 33. What is the remainder when l(u) is divided by 2?
1
Let d(h) = h**2 - 4*h + 39. What is the remainder when 149 is divided by d(6)?
47
Let k = 297 - 288. Calculate the remainder when 305 is divided by k.
8
Suppose -2*p = 3*r + p - 183, -179 = -3*r - 2*p. Let u = 0 - -12. Calculate the remainder when r is divided by u.
9
Let c be (-11)/2 - -5 - 429/(-6). Let f = c + -24. What is the remainder when f is divided by -1*2 - (0 - 10)?
7
Suppose y - 4 = u - 0*u, 5*y + 4*u = 29. Suppose y*r - 4*r = 3. What is the remainder when 10 is divided by r?
1
Let c = -802 + 1014. What is the remainder when c is divided by 54?
50
Let i(l) = l**2 + 3*l - 20. Calculate the remainder when 598 is divided by i(7).
48
Suppose 0*c = -4*c + 60. Let h be (-14)/(-21)*(-18)/(-4). Suppose -22 = -h*x + 104. Calculate the remainder when x is divided by c.
12
Let d(y) = 2*y**3 + y**2 - 5*y - 14. What is the remainder when d(5) is divided by 61?
53
Let c = 569 - 404. Suppose -4*k + c = -k. What is the remainder when k is divided by 1 - ((-27)/1 + 0)?
27
Suppose 4 = -a + o + 9, a = -o - 1. Suppose -2*k = 3*z - 25, a*k = 3*k + 3*z - 14. Suppose k + 47 = 2*r. What is the remainder when r is divided by 16?
13
Calculate the remainder when (-3)/(-7) - (-110)/(-35)*-18 is divided by 16.
9
Let d(h) = h**3 + 5*h**2 - 3*h - 3. Let o(j) = -j**3 + j**2 + 15. Let t be o(0). Let c be (-2)/(2 - 24/t). Calculate the remainder when 46 is divided by d(c).
10
Let m = 142 - 66. Suppose -m = 2*i + 2*i. Let q(u) = -u**2 - 18*u + 27. What is the remainder when 53 is divided by q(i)?
5
Suppose -5 - 5 = -5*r. Suppose 0*q + 5*t + 101 = 4*q, -r*q = -2*t - 52. Suppose -5*o + 20 = -3*o. Calculate the remainder when q is divided by o.
9
Let k = -1 - -3. Suppose 2*w - 186 = -4*q, -16 = -k*w + 2*q + 164. Calculate the remainder when w is divided by (-4)/30 - 467/(-15).
29
Suppose -4*f = -2*w - 82, -3*f - 5*w + 84 = -2*w. Let q = -14 - 5. Let s = -13 - q. Calculate the remainder when f is divided by s.
5
Suppose -r - 108 = -13*r. Suppose 4*t - 34 = -2*j + 16, t - 89 = -5*j. What is the remainder when j is divided by r?
8
Let v = 897 - 819. Let n(l) = -l**2 + 10*l + 11. Let w be 2/(-12) + (-165)/(-18). Calculate the remainder when v is divided by n(w).
18
Let q = 12 + -5. Suppose 5*h - q*h + 78 = 0. Calculate the remainder when h is divided by 20.
19
Let b = 931 + -930. What is the remainder when 9 is divided by b?
0
Suppose -269*o + 266*o = 3. What is the remainder when 8 is divided by (-140)/(-24) + o/(-6)?
2
Suppose -3*a = -6, -4*y + 3*a = 2*a - 230. Calculate the remainder when y is divided by 20.
18
Suppose -2*j - 6 + 18 = 0. What is the remainder when 2/j*(-120)/(-5) is divided by 5