he remainder when j + 3 + 69/1 is divided by v?
16
Suppose 14 = -u + 3*w + 48, 3*u - 3*w = 90. Suppose -k + 2*i + 27 = -2*i, -k - 3*i = 8. What is the remainder when u is divided by k?
0
Let v(g) = -7*g - 6. What is the remainder when v(-8) is divided by (48/(-40))/(36/(-960))?
18
Let m = 8866 + -8785. What is the remainder when 1223 is divided by m?
8
Let k = -1084 + 1165. Calculate the remainder when 899 is divided by k.
8
Let k(j) = j**3 + 6*j**2 - 11*j - 10. Calculate the remainder when 46/8 + -5 + 9333/244 is divided by k(-7).
3
Let l(z) = 22*z + 4. Let a be l(3). Let r = a + -11. Suppose 0 = t + 146 - 164. Calculate the remainder when r is divided by t.
5
Let c be 30/135 + (-4504)/18. Let q be 0/(4 + -5) + 407. Let y = q + c. What is the remainder when y is divided by 40?
37
Suppose -3*q + 51 = 9. Let i be (-54)/(-10)*(-150)/(-9). Let d = -51 + i. What is the remainder when d is divided by q?
11
Let q = -201 + 163. What is the remainder when 202 is divided by q/95*5*41/(-2)?
38
Suppose 4*a = 2 - 22. Let b be 20*(a - -2)/(-12). Suppose -624 - 316 = -b*f. What is the remainder when f is divided by 48?
44
Let c = -1306 + 1328. Let n = -34 + 40. What is the remainder when c is divided by n?
4
Let m = -25637 - -25652. Suppose 14 = -5*j - 91. Let v = j - -31. What is the remainder when m is divided by v?
5
Let r be ((-2)/3)/((-1)/3). Suppose c + r = 0, 2*n - 4*n = -c - 618. What is the remainder when n is divided by 62?
60
Let t(s) = s**3 + 5*s**2 + s + 2. Let d be t(-5). Calculate the remainder when (2 - 470/(-6)) + (-2)/d is divided by (-4 + 3)/((-3)/42).
11
Suppose -20*i - 1341 = -17*i. Let p = 806 + i. Calculate the remainder when p is divided by 19.
17
Let g = 32 + -28. Suppose 5*v + 2 - 21 = 4*s, g*v = -2*s + 10. Suppose 0 = v*n - l - 62, 3*l = -3*n - 30 + 108. What is the remainder when n is divided by 8?
6
Suppose 30*b - 34*b + 4490 = 2*a, -5*a = -25. Suppose 4*j = -24*j + b. Let k(y) = 3*y**2 - 4*y - 7. Calculate the remainder when k(6) is divided by j.
37
Let s(r) = 2*r**2 + 59*r - 1346. What is the remainder when 167 is divided by s(-45)?
20
Suppose 29*u - 600 - 3866 = 0. Suppose -2*s = -0*f - f + 33, s = 4. What is the remainder when u is divided by f?
31
Let x be (-58)/(-145) - (1 + (-9256)/10). Suppose -6*k + x = -569. Calculate the remainder when k is divided by 65.
54
Suppose -10*p - 17 = -223 - 34. Let v(b) = 21*b + 1. What is the remainder when v(5) is divided by p?
10
Let r(a) = a**3 - 3*a**2 - 69*a + 54. Calculate the remainder when r(14) is divided by 11.
1
Let v(k) = -28*k - 624. What is the remainder when 3858 is divided by v(-23)?
18
Let i = -74 - -74. Suppose i = 72*j - 73*j + 31. Calculate the remainder when j is divided by 23.
8
Suppose -3*w + 47791 = 2*o, 40*w = 4*o + 37*w - 95555. Calculate the remainder when o is divided by 12.
11
Suppose -37 - 99 - 500 = -12*x. What is the remainder when 688 is divided by x?
52
Let n = 985 + -1012. Let t(i) = -71*i**3 + i + 1. Let c be t(-1). Let f = n + c. What is the remainder when 174 is divided by f?
42
Let r = 132 - -1667. Calculate the remainder when r is divided by 36.
35
Let k(f) = f + 8. Let p be k(16). Suppose 4*h - 57 = -13. What is the remainder when p*(-4)/8*(-8)/3 is divided by h?
10
Let l = -74 - -81. Let y(a) = -a**2 - 7*a - 14. Let n be y(-8). Calculate the remainder when (-4)/n + 1988/77 is divided by l.
5
Let t = 7106 - 6945. What is the remainder when t is divided by 87?
74
Let p(x) = 2*x**2 - 14*x - 9. Let r be p(8). Suppose r*v = -1 - 13. What is the remainder when 54 - (v + 4)*-1 is divided by 15?
11
Suppose -4*n + 83 = 67. Suppose -c = -o + 16, 3*c - 72 = -n*o + o. What is the remainder when o/50 - 2/5 - -38 is divided by 14?
10
Let o be (26/(-6) - -4) + (-1551)/(-9). Let p = 212 - o. Calculate the remainder when 152 is divided by p.
32
Suppose 5*g - 13 = 4*b, -8*b - 13 = -3*g - 3*b. Calculate the remainder when 1/((0 + g)*(-6)/(-102)) is divided by 11.
6
Suppose -511*m - 315 = -520*m. What is the remainder when 30/m + (-1696)/(-14) is divided by 1?
0
Suppose 2*u - 2 = 3*u. Let w(t) = 2*t**2 + 8*t - 11. What is the remainder when ((-31)/3)/(u/6) is divided by w(-6)?
5
Let p(o) = o**3 + 43*o**2 + 43*o + 58. Calculate the remainder when 1471 is divided by p(-42).
15
Let u(c) = 146*c**2 + 114*c - 26. Calculate the remainder when 1958 is divided by u(-3).
66
Suppose -s + 6 = 20. Let q = s + 20. Suppose q*n - 15 = 15. What is the remainder when 13 is divided by n?
3
Suppose 5*f = -9*x + 5*x + 1714, -1388 = -4*f + x. What is the remainder when f is divided by 9?
4
Suppose 9865*w - 9906*w + 138006 = 0. Calculate the remainder when w is divided by 259.
258
Suppose -81*y = 738*y - 214*y - 53240. Calculate the remainder when -1 + 346 - (4 + -7) is divided by y.
84
Let r = 91 - 83. Suppose 62 = r*l - 2. What is the remainder when 168 is divided by (-464)/(-28) + l/(-14) + 1?
15
Let a(b) = -b**2 + 24*b - 32. Suppose -5*x + 120 = -2*g, -2*x = 4*g - 9 - 15. Calculate the remainder when 140 is divided by a(x).
8
Let t(g) = -3*g**2 + 252*g - 90. What is the remainder when t(78) is divided by 78?
66
Suppose -4*n + 4*k = -152, 5*k = 25*n - 30*n + 230. Calculate the remainder when 55 is divided by n.
13
Calculate the remainder when (11 - (-635)/(-55))*-209 is divided by 51.
12
Let t be (40/(-12))/(0 + (-4)/6). Suppose 0 = -8*n + t*n + 18. Calculate the remainder when (-1040)/(-25) + n/(-10) is divided by 21.
20
Let s = -307 + 543. Let u = 340 - s. Let q = 78517 - 78496. What is the remainder when u is divided by q?
20
Let y be 0 - (1 - 2 - 1). Suppose -y*d + 18 = -d. Let h = 88 + -57. Calculate the remainder when h is divided by d.
13
Suppose 3*u + 6*w - 1301 = 10*w, 2974 = 7*u + 3*w. Let z = 35 - -4. What is the remainder when u is divided by z?
37
Calculate the remainder when 1019 is divided by 2 - (-747)/12 - (4 - 75/20).
59
Suppose s = 2, 0*f + 5*f + 3*s = 816. Calculate the remainder when f is divided by 22 + -140*57/(-133).
80
Let d(h) be the third derivative of h**4/6 + 8*h**3/3 + 39*h**2. What is the remainder when 107 is divided by d(5)?
35
Suppose -j = 3*j - 112. Suppose -x + 44 = 3*l, 5*x = 5*l + 311 - 11. Let n = x - j. Calculate the remainder when n is divided by 10.
8
Suppose -19*n - 26*n - 50*n + 216790 = 0. Calculate the remainder when n is divided by 79.
70
What is the remainder when 661/(13/13) + 5 is divided by 117?
81
Suppose 0*l = 5*l - 4*j + 124, 2*l + 2*j + 64 = 0. Let g = 33 + l. Suppose -12 + 497 = g*q + m, -20 = 4*m. Calculate the remainder when q is divided by 9.
8
Let r = 56 - 48. Calculate the remainder when 18 is divided by (r + -11)*-1*1 + 4.
4
Suppose -5*s + 66 = -34. Suppose 2*i = i - 0*i. Suppose 5*p + 29 - 64 = i. Calculate the remainder when s is divided by p.
6
Let n = -449 - 47. Calculate the remainder when -2 + -3 + 2 + n/(-8) is divided by 15.
14
What is the remainder when 1635 is divided by -8 - (9/(-126) + (-4002)/28)?
15
Let f = 12918 + -12661. Calculate the remainder when f is divided by 228.
29
What is the remainder when (12 - 32/12)*((-630)/(-24) - 3) is divided by 110?
107
Let f(u) = 260*u + 5579. Calculate the remainder when f(0) is divided by 60.
59
Suppose -58*z = -36*z - 506. Suppose z + 121 = 6*q. What is the remainder when 1/(-2)*142/(-1) is divided by q?
23
Let w(m) = 2*m**2 - 13*m - 122. Calculate the remainder when 2083 is divided by w(-7).
6
Suppose 13*m + 24395 = 20*m. Suppose m - 1070 = 7*u. What is the remainder when u is divided by 70?
65
Suppose -73 = -3*g - 2*k, 2*g - 3*k = -8*k + 34. Suppose -4*l - 4*x + 140 = 0, 4*x - 5*x + 3 = 0. Calculate the remainder when l is divided by g.
5
Calculate the remainder when 112 is divided by (-275)/(-16) + (-1152)/6144.
10
Let y = 12037 - 12026. What is the remainder when 664 is divided by y?
4
Let f = 59 + -35. Suppose -3*i = -3*o + 54, 4*i + 44 = 2*o - 0*o. Let j(l) = l**2 - 8*l - 39. What is the remainder when j(o) is divided by f?
21
Calculate the remainder when 279 is divided by (-7708)/(-36) + 112/126.
64
Let f(o) = 2*o + 35. Let y be f(-18). What is the remainder when 120 is divided by ((-2)/(-6)*-25)/(y/3)?
20
Suppose -2633*d + 2631*d + 14 = 0, -3*d = 2*i - 463. Let t(f) = -5*f**3 + 3*f + 3. What is the remainder when i is divided by t(-2)?
36
Suppose 5*n - 25 = 0