by b.
15
What is the remainder when 5274/26 + ((-212)/(-26) - 8) is divided by 127?
76
Let p = -118 - -116. What is the remainder when (-5820)/(-40) + (-3)/p is divided by 51?
45
Let a be (30/7)/(3/21). Suppose -k + a = 1. Let i = -336 - -352. What is the remainder when k is divided by i?
13
Let x = -51 - -99. Let b = -1224 - -1228. Suppose -w + b*w - x = 0. Calculate the remainder when w is divided by 10.
6
Suppose -287736*w = -287760*w + 2064. Suppose 526 = 4*j - 2. Suppose -k - j = -4*k. Calculate the remainder when w is divided by k.
42
Let r = 60 - 55. Let z = 19 - r. Suppose 2*q - 122 = z. Calculate the remainder when q is divided by 23.
22
Let l(y) = y**3 + 20*y**2 - y - 11. Let d be l(-20). Suppose 0 = -5*k + d + 21. Suppose 8 = -4*w + k*w. What is the remainder when w is divided by 4?
0
Suppose 4*l + 134 = 4*v + 3*l, 5*v - 193 = -3*l. Calculate the remainder when 128 is divided by v.
23
Let j = -4 - -26. Let p be (78 - 0)/((99/(-9))/(-11)). Suppose r - p = -65. Calculate the remainder when j is divided by r.
9
Suppose -275*j - 102*j + 43*j + 7014 = 0. What is the remainder when 524 is divided by j?
20
Suppose 4*f = -3*h + 114, 17*f - 16*f + 3*h = 24. What is the remainder when 1498 is divided by f?
28
Let b(w) = 36*w**3 - 324*w**2 + 5*w + 24. What is the remainder when 320 is divided by b(9)?
44
Suppose 0 = 5*p - 2*z + 75, 5*z - 82 + 7 = 5*p. Let r = -33 - p. What is the remainder when 71 is divided by (1 + (-21)/9)*r?
23
Suppose 121*x + 750 = 127*x. Suppose -9*p + 186 = -7*p. Let w = x - p. Calculate the remainder when w is divided by 10.
2
Let d(y) = -y**3 + 19*y**2 - 30*y - 33. What is the remainder when d(17) is divided by 6/((-5)/3 - -2)?
17
Let x = 27218 + -27195. What is the remainder when 100 is divided by x?
8
Let h = 231 + -156. Let a = h + -51. Calculate the remainder when 60 is divided by (0 + 1)*(a - 3).
18
Let s(v) = v**3 + 6*v**2 + 8*v - 1. Let c be s(-6). Let q be 1/((-7)/777*3). Let m = q - c. Calculate the remainder when 32 is divided by m.
8
Suppose 835*g = 823*g + 2280. What is the remainder when g is divided by 12?
10
Suppose -19 + 867 = 4*u - p, -414 = -2*u + 3*p. Suppose -175 = 2*x - u. What is the remainder when x is divided by 9?
1
Let m(w) = -2*w**3 - 7 - 6 + 10 - 7*w - 28*w**2 + 27*w**2. Let k = 15 + 8. Calculate the remainder when m(-3) is divided by k.
17
Let w(m) = -m**2 + 4*m + 82. Let g be w(11). Calculate the remainder when 142 is divided by (-6 + (-189)/(-14))*16/g.
22
Suppose -3*s - 5 = 7, -2*s - 1096 = -4*a. Calculate the remainder when a is divided by (-3 - -5) + (2 - 4 - -11).
8
Suppose 3*f + 5 + 1 = 0. Let x(w) = 9*w - 24*w - 1 + 9*w - 2*w**2 + 5*w**2 + 10*w - 14*w**3. Calculate the remainder when x(f) is divided by 29.
28
Let r = -1072 + 1081. What is the remainder when r is divided by 3?
0
Let o be 3 + (2/6)/((-10)/60). Let y(p) = -p**2 + 5*p - 3. Let c(k) = -k**2 + k. Let f(a) = o*y(a) - 2*c(a). Calculate the remainder when 12 is divided by f(2).
5
Calculate the remainder when ((-6643)/(-17 - -30))/(-1) is divided by 31.
15
Suppose -35 = -39*w + 44*w. Let t(g) = -28*g - 8. Calculate the remainder when t(w) is divided by (-6 + 0)/(2/(-9)).
26
Let m be ((-12)/(-10))/(9/30). Suppose 0 = -4*f - 17 - 3, -2*q - m*f = -34. Let d(z) = 49*z + 251. Calculate the remainder when q is divided by d(-5).
3
Let m(u) = 37*u**2 + u + 1. Suppose -29*r + 6*r - 61 + 3373 = 0. What is the remainder when r is divided by m(-1)?
33
Suppose -w + 2*v = 2*w + 31, 5*v - 32 = 4*w. Let y be 1/(10 + -9)*-5. What is the remainder when 21 is divided by (-6 - y) + (0 - w)?
9
Suppose 3*m = -m + 104. Suppose -198 = -2*t + 4*w + w, w = 0. Calculate the remainder when t + 1 - (1 - 0) is divided by m.
21
Let f(h) = -h**2 + 26*h - 29. Calculate the remainder when 216 is divided by f(19).
8
Suppose -r + 1679 = 4*r - 2*k, 4*r - 2*k - 1342 = 0. Calculate the remainder when r is divided by 20.
17
Suppose 234 = 4*l + 4*m - 246, 5*l = -3*m + 590. Suppose 5*t = 4*n + 288, -t + 31 = 2*n - 35. What is the remainder when l is divided by t?
55
Let c = 3102 + 6315. Suppose 1292 - c = -25*m. Calculate the remainder when m is divided by 55.
50
Let z be (-1)/2*(63 - 3)/(-6). Let u(p) = -z*p + 0 + 3 - 4 - 3. Calculate the remainder when u(-17) is divided by 28.
25
Suppose -2*v + 9 = -5*s, 4*v - 5*s - 31 = -8*s. Let c(u) = -8*u + v + 17*u - 182*u**2 + 191*u**2 + u**3. What is the remainder when 113 is divided by c(-3)?
11
Suppose -w = 3*u + 2, -3*w + 5*w + 12 = 2*u. Let f be u/2 - (-9)/2. Suppose j - 16 = 3*p, j - 2*p = f*j - 120. Calculate the remainder when j is divided by 15.
13
Let p = 7969 + -7899. What is the remainder when 2099 is divided by p?
69
Let y = -18147 + 27076. Calculate the remainder when y is divided by 29.
26
Suppose 5*n - 4*f - 28 = 0, 3*n + 6*f - 18 = 9*f. Suppose -3*o + 4*l + l = -118, -n*o = 2*l - 140. Calculate the remainder when 39 is divided by o.
3
Let z(o) = 5*o + 50. Let m be z(-10). Suppose -5*a = -2*i + 13 + 18, m = -2*i - a + 49. Calculate the remainder when i is divided by 18.
5
What is the remainder when 156636/132 + (5 - (-153)/(-33)) is divided by 27?
26
Let d = -4 - -3. Let g be 12/2 - (0 - -11). What is the remainder when 98 is divided by (-10)/g + 19 + d?
18
Let c(v) = 4*v**2 + 11*v + 1. Let d be c(-6). Suppose 4*o - 96 = -2*l, -4*l = -3*o + d - 7. Calculate the remainder when 712/6 - (-3)/9 is divided by o.
23
Let g(v) = 111 - 23*v**3 + 13*v + 65*v**3 - v**2 - 23*v**3 - 20*v**3. Calculate the remainder when g(0) is divided by 30.
21
Let q = -61 + -71. Let k = q + 190. Suppose 5*t - 175 = 5*y, 4*t + 9*y - 110 = 7*y. Calculate the remainder when k is divided by t.
28
Let o = 41005 + -40981. Calculate the remainder when 1513 is divided by o.
1
Suppose -54*v - 32 = -1274. Let n(q) = q - 2. Let p(w) = -w + 1. Let t(g) = 3*n(g) + 4*p(g). Calculate the remainder when v is divided by t(-6).
3
Let g be (-10)/65 + (-24)/13. Let s be 1011/15 + g/5. Let j = s + -25. Calculate the remainder when 209 is divided by j.
41
Let f = 38107 + -38024. What is the remainder when 852 is divided by f?
22
Suppose 2*x - 115*o = -117*o + 284, 5*x - 3*o - 670 = 0. What is the remainder when 1508 is divided by x?
1
Suppose -11*j + 927 + 800 = 0. Let w = -142 + j. What is the remainder when 71 is divided by w?
11
Suppose 0 = 485*n - 494*n + 3906. Let a = 493 - n. What is the remainder when a is divided by 5?
4
Let j(k) = k**2 - 13*k + 44. Let p be j(9). Suppose -p*d = 6*d - 574. What is the remainder when d is divided by 15?
11
Let y be (-1*(-6)/(-9))/((-14)/21). Calculate the remainder when 3/(-4) - y*2905/(-28) is divided by 55.
48
Let z = -3464 - -3533. What is the remainder when z is divided by 9?
6
Let z be 8/(-24)*0 + 28. Suppose x - 32 = -z, 0 = -3*h - x + 64. Calculate the remainder when 93 is divided by h.
13
Suppose 23 + 12 = 5*o. Suppose -5*l - 74 = -o*l. What is the remainder when l is divided by (38/4)/((165/30)/11)?
18
Let x = 2431 + -2254. What is the remainder when 611 is divided by x?
80
Suppose 6*d + 20*d = -8*d + 28050. Calculate the remainder when d is divided by 408.
9
Let v(c) = -21*c + 2. Let d(y) = 685*y - 4785. What is the remainder when v(-4) is divided by d(7)?
6
Suppose -v = 3, 2*q + 0*q - 424 = 2*v. Suppose 7 + 95 = 5*y + 3*i, -2*y = 5*i - 37. What is the remainder when q is divided by y?
20
Let a = 45 + -48. Let g = 4 - a. Suppose g*p + 1 = 113. Calculate the remainder when 24 is divided by p.
8
Let h = -6 + -6. Calculate the remainder when -3*4/h*29 is divided by 2 + 70/9 - 2/(-9).
9
Let p be (78/(-117))/((-1)/6). Suppose -4*h + 112 = p*o - 3*h, -4*h = 0. Suppose 64 = -3*k + 229. What is the remainder when k is divided by o?
27
Let k = 32 + -4. Let q = k - 26. Suppose -q*o - 34 + 322 = 0. Calculate the remainder when o is divided by 37.
33
Suppose -7 = -4*w - i + 10, 3*w = 4*i - 11. Suppose -q + 5*l + 11 = 8*l, 3*q + w*l = 45. Calculate the remainder when 111 is divided by q.
9
Let h(i) = -i**3 - 10*i**2 + 2*i - 12. Let j be h(-9). Suppose 3*q = -0*q - 171. Let g = q - j. What is the remainder when 159 is divided by g?
51
Let x be (-420)/48 + -7 + (-1)/4. Calculate the remainder when 5071/(-5 - x) - 2*-1 is divided by 29.
28
Suppose -17*b + 24307 = 272*b - 66*b. Calculate the remainder when 249 is divided