the remainder when 32 is divided by k?
4
Suppose 13*f + 2*l = 10*f + 1507, -5*l - 1971 = -4*f. What is the remainder when f is divided by 176?
147
Suppose 13*m - 16*m = -5*f + 205, 4*m = 0. What is the remainder when 1513 is divided by f?
37
Let f(l) = 56 + 0*l - 3*l + 2*l - l. Calculate the remainder when 49 is divided by f(18).
9
Let t be -3*4/54 - 1064/(-252). Suppose 3*n + 10*g = 5*g, 0 = 4*n + t*g - 8. Calculate the remainder when 107 is divided by n.
2
Let d(z) = z**3 - 10*z**2 + 16*z. Let w be d(8). Suppose -r - 131 + 185 = w. Let n(b) = 2*b**2 - b. What is the remainder when r is divided by n(4)?
26
Let t = 1953 - 1925. Calculate the remainder when t is divided by ((-6)/(-36)*-3)/((-2)/36).
1
Let c = 262 + -211. Suppose c*s - 48*s - 651 = 0. Calculate the remainder when s is divided by 57.
46
Suppose 0 = 8*p + 34 - 234. Suppose p*f - 161 = 18*f. What is the remainder when f is divided by 8?
7
Let f(z) = 50*z - 3705. Calculate the remainder when 209 is divided by f(78).
14
Suppose 4*o + 245 = -3*l + 602, -2*o - 210 = -2*l. Calculate the remainder when 2774 is divided by l.
110
Suppose x = 4*k - 37, -k = -x - 13 + 3. Calculate the remainder when ((-16)/(-14) + (-18)/(-21))*29 is divided by k.
4
Suppose -36*z = -31*z. Let n be (z - 20/8)*-154. Suppose 4*k = -k + n. What is the remainder when k is divided by 20?
17
Let v(q) = -2 + 6*q - 4 + 0 - 1. What is the remainder when v(5) is divided by 7?
2
Calculate the remainder when 464 is divided by (-5 - 4)/((-2)/10).
14
What is the remainder when 62 is divided by (-12)/(-16) + (-2)/(8/(-189))?
14
Suppose 8*h - 1 = -17. Let x(s) = 3*s + 8. Let q be x(h). Suppose -q*w + 59 - 11 = 0. What is the remainder when 46 is divided by w?
22
Suppose 3*q + 4*m + 556 = 0, -m - 763 = 4*q - 0*m. Let b = q - -256. What is the remainder when 253 is divided by b?
61
Let d(a) = -a**3 + 14*a**2 - 5*a - 20. Let l be d(9). Calculate the remainder when (12/(-5))/((-51)/l) is divided by 6.
4
Suppose 3588 + 2056 = 36*w - 5336. Calculate the remainder when w is divided by 113.
79
Suppose -196 + 1077 = b. Let q(k) = 3*k**3 + 200*k**2 - 66*k + 81. Calculate the remainder when b is divided by q(-67).
13
Let x be (-1 - 0)/(17/(-68)). Suppose 5*m - 803 = -x*q, m = 7 - 4. What is the remainder when q is divided by 11?
10
Suppose 200 = 4*j + 36. Let v = j + -27. Suppose v*l = 6*l + 272. Calculate the remainder when 167 is divided by l.
31
Let a = 11303 - 10604. Calculate the remainder when a is divided by 34.
19
Let l(h) = h**3 - 11*h**2 - 2*h + 4. Let o be l(11). Let f = o - -257. Calculate the remainder when f is divided by ((-32)/(-24))/((-726)/(-180) - 4).
39
Let i(k) = -1896*k + 2274. Calculate the remainder when 1512 is divided by i(1).
0
Suppose -668 = x - 224. Let q = -404 - x. What is the remainder when 118 is divided by q?
38
Let q be (6 - 85/15)/((-1)/(-12)). Suppose -2*r + 3*g + 31 = 0, q*g - 6 = -2. What is the remainder when 117 is divided by r?
15
Suppose 3*k - a + 99 - 20 = 0, 33 = -k - 3*a. What is the remainder when (-4268)/(-9) + 6/k + 0 is divided by 68?
66
Let d(z) = 25*z - 334. Calculate the remainder when d(14) is divided by 9.
7
Suppose 20*i - 304*i = -72136. Calculate the remainder when i is divided by 81.
11
Let g(s) = -s + 16. Let r(h) = -47*h - 2400. Calculate the remainder when r(-52) is divided by g(11).
4
Let a = -87 + 91. Suppose -402 = -a*k + 658. Suppose 6*w + 7 = k. What is the remainder when w is divided by 6?
1
Let q(v) = 82*v**2 - 21*v + 48. What is the remainder when q(3) is divided by 91?
86
Suppose 19*u - 4*k = 23*u - 188, -218 = -4*u + k. What is the remainder when 1990 is divided by u?
29
Suppose -129 = -2*h + 937. Suppose 512 = -z + h. Let f(a) = 39*a**3 - a**2 + a - 1. Calculate the remainder when f(1) is divided by z.
17
Let v be -1 - -4 - (4/(-1) - 1). Calculate the remainder when 56 - v - 2/4*-4 is divided by 9.
5
Suppose -4*q + 8 = -20. Let x(m) = m**3 + 15*m**2 - 15*m + 18. Calculate the remainder when q is divided by x(-16).
1
Let f = -1780 - -2090. Calculate the remainder when f is divided by 101.
7
Suppose -192 - 255 = -4*a + t, -222 = -2*a + 2*t. Let s = 117 - a. Calculate the remainder when 139 is divided by s.
4
Let i be (-69)/92 + (-46)/(-8). Let r be -5 + 4 + 5 - i. What is the remainder when (2 + 202/(-8))/(r/4) is divided by 19?
17
Let d be 35/2*(-4 + (-112)/(-20)). Suppose -2*j = -0*j - d. Calculate the remainder when j is divided by 8.
6
Let o = -34 + 12. Let g(d) = d**3 - 10*d**2 - 10*d - 15. Let p be g(11). Let h = p - o. Calculate the remainder when 53 is divided by h.
17
Suppose 336*g + 6050 - 1520 = 351*g. What is the remainder when g is divided by 32?
14
Let k = -1105 - -1341. Calculate the remainder when k is divided by 211.
25
Let u = 68 - 63. Suppose -2*j - j - 8 = -4*c, -u*c = 3*j - 37. What is the remainder when -156*j/(-8)*1 is divided by 20?
18
Suppose -3332 = -22*q - 2980. What is the remainder when 535 is divided by q?
7
Let u(i) = i**3 + 12 + 7*i**2 + 219*i - 83*i - 72*i - 76*i. Calculate the remainder when u(-7) is divided by 30.
6
Let x = -12817 - -12838. Calculate the remainder when 4197 is divided by x.
18
Suppose -6*i = -5*i - 17. Calculate the remainder when 406727/5151 + 4/102 is divided by i.
11
Suppose f - 21*b - 101 = -24*b, 4*b = 20. Calculate the remainder when 2665 is divided by f.
85
Let d(x) = -86*x - 1526. What is the remainder when (0 + 1)/((-2)/(-122)) is divided by d(-18)?
17
Let u(m) = -2*m**3 + 2*m**2 + 14*m - 7. Let w be u(5). Let h = w - -186. What is the remainder when h is divided by 26?
23
Let p = 14123 + -12558. Calculate the remainder when p is divided by 2.
1
Suppose 0 = -2*p - p + 30. What is the remainder when ((-6)/(-15))/((-1036)/780 - (-68)/51) is divided by p?
8
Let k(r) = 25*r**2 - 64*r - 146. What is the remainder when 329 is divided by k(-2)?
1
Let a = 11722 - 8910. What is the remainder when a is divided by 7?
5
Let t be ((-68)/153)/((-4)/(-3))*-12. Suppose k - 3*k = -234. Suppose t*r - k = -5*r. What is the remainder when 61 is divided by r?
9
Let y(w) = 99*w - 513. What is the remainder when 183 is divided by y(7)?
3
Let x = -8617 + 8890. What is the remainder when 5184 is divided by x?
270
Suppose x = -3*x - 256. Let k(n) = n**3 - 26*n**2 - 31*n + 65. Let r be k(27). Let c = r - x. What is the remainder when c is divided by 11?
10
Let r = -36365 - -40716. What is the remainder when r is divided by 44?
39
Suppose -23 = -3*f + 4*u + 260, -u = f - 85. Calculate the remainder when f is divided by -7 + 25 + (-145)/29.
11
Calculate the remainder when 96 is divided by (16 + 0 + -4)/((-86)/(-129)).
6
Let t be ((-4)/(-2))/1 + 1. Suppose q = t, 45 = -4*x + 2*q + q. Calculate the remainder when 74 is divided by x/(27/(-6)) - -17.
17
Let b(u) = 124*u + 13552. Suppose 0 = -2*r + 1069 - 135. What is the remainder when r is divided by b(-109)?
35
Suppose 3*z - 21*z + 65556 = -0*z. Calculate the remainder when z is divided by 15.
12
Suppose -6*y - c + 484 = 0, 42*c + 168 = 2*y + 44*c. What is the remainder when 195 is divided by y?
35
Suppose 5*w - 97 = 8. Let c(f) = f**2 + 13*f + 36. Let y be c(-4). Suppose -4*d - 39 + 275 = y. What is the remainder when d is divided by w?
17
Let n(x) = 34*x - 53. Let c(i) = -34*i + 51. Let u(v) = -2*c(v) - 3*n(v). Calculate the remainder when u(-2) is divided by 34.
23
Calculate the remainder when 1077 is divided by 3*(-2)/(-14) - (19 + (-30573)/301).
81
Suppose -882 = -4*s - 5*o, 5*s + 65*o = 66*o + 1059. What is the remainder when s is divided by 63?
24
Suppose -3*x - x + 76 = 0. Suppose 6*k = -13*k - 6137. Let h = -319 - k. What is the remainder when x is divided by h?
3
Suppose -450*q + 449*q = -39. Calculate the remainder when 66 is divided by q.
27
Let j = -563 + 5463. What is the remainder when j is divided by 223?
217
Let j(g) = -6*g + 125. Let o be j(20). Let i(l) = 2*l**3 - 10*l**2 + 12*l + 11. Calculate the remainder when 147 is divided by i(o).
5
Suppose n + 597 = 2*f, 3*f - 2*n - 1153 = -259. What is the remainder when 329 is divided by f?
29
Let h be (420/(-6))/2*-7. Suppose 8*z - 1117 = -h. Calculate the remainder when z is divided by 16.
13
Suppose 26*g - 4*p = 25*g - 8, 0 = g - p + 2. Suppose -y + 24*y - 759 = g. What is the remainder when y is divided by 18?
15
Let n