ppose 53*b - 57*b + 2*u + 620 = 0, -b = -2*u - 161. What is the remainder when 747 is divided by b?
135
Let c = -248 - -422. What is the remainder when (1 - (-4)/(-6))/(2/c) is divided by -1 + 7 + 2/1?
5
Suppose 0 = 146*o - 1549 - 2023 - 516. What is the remainder when 189 is divided by o?
21
Let f = 969 + -846. Calculate the remainder when f is divided by 31.
30
Let i = -40 + 59. Suppose -14*a + i*a = 0. Suppose a = -2*p + 5*p - 3*x - 69, -3*p = 5*x - 45. What is the remainder when p is divided by 12?
8
Suppose -76 - 1206 = -56*w + 510. What is the remainder when 894 is divided by w?
30
Suppose -2*w - 201 = -3*w. Suppose 9*j = 669 - w. Calculate the remainder when 101 is divided by j.
49
Suppose -139 = -5*z - 44. Suppose -5*b = k - 86, -5*k + 3 = b - z. What is the remainder when (-6*9/3)/((-123)/328) is divided by b?
14
Suppose -2*i = 3*i - 30. Suppose -1229 = -i*z + 901. Suppose -2*d - 91 = -z. What is the remainder when d is divided by 45?
42
What is the remainder when 117 is divided by (1 - 3)/(-6) + 606/18?
15
Let c(t) = 21*t**2 + 3739*t + 7473. Suppose 0 = 2*n - 18 - 74. What is the remainder when c(-2) is divided by n?
33
Let d = -31 - -48. What is the remainder when (-504032)/(-4974) - (-20)/(-6) is divided by d?
13
Suppose -a + 95 = 3*r, 0 + 4 = -a. Let j = r + -13. Suppose -j*i + 16*i = -132. Calculate the remainder when i is divided by 7.
5
Let y = 1706 + -1457. Calculate the remainder when y is divided by 79.
12
Suppose 8*z = -0*z + 120. Suppose -325 = -z*p + 140. What is the remainder when 60 is divided by p?
29
Let x = 3022 + 1134. What is the remainder when x is divided by 11?
9
Let c = -11 - -33. Suppose -74*o = -61*o - 4732. Let s = -357 + o. Calculate the remainder when c is divided by s.
1
Let d(i) = -i**2 - 10*i + 2. Let w = -7 + 2. Calculate the remainder when ((-14)/(-5))/(-7) + (-652)/w is divided by d(-9).
9
Let w(l) = 4*l**2 - 15*l + 704. What is the remainder when w(21) is divided by 1072?
9
Let k(m) = m - 3 - 1 - 9*m. Let y(b) = -115*b - 455. Calculate the remainder when k(-4) is divided by y(-4).
3
Let w(l) = 1715*l + 15478. Calculate the remainder when 20122 is divided by w(-9).
41
Suppose 2*i + v = 6*i - 69, -5*i - 2*v = -83. Let o be 36 - (-6 + 14 + -3 + -3). Suppose o*l - 11*l - 1518 = 0. What is the remainder when l is divided by i?
15
Suppose 15*n = 71*n - 196616. Calculate the remainder when n is divided by 14.
11
Suppose -20*s = -19*s - 3. Suppose -4*t - s*r = -173, 4*r - 2 - 10 = 0. Suppose 36*n = t*n - 110. Calculate the remainder when n is divided by 5.
2
Suppose -3*t + 162 = 5*g, -g - 132 = -5*g - 3*t. What is the remainder when -50*((-472)/(-40) - 13) - 4 is divided by g?
26
Suppose 1200 = -16*f - 4*f. What is the remainder when 357 is divided by 10/(-2) + 40/(-25)*f?
84
Suppose 90 = -126*q + 136*q. Calculate the remainder when 44 is divided by q.
8
Suppose 128 = 2*t + 2*r - 104, -t + 120 = 3*r. Calculate the remainder when t is divided by 28.
2
Let g = 15498 + -15386. Calculate the remainder when 1692 is divided by g.
12
Let z = 1002 - 486. Let n = 529 - z. What is the remainder when 115 is divided by n?
11
Calculate the remainder when 28/((-84)/(-91671)) - 9/1 is divided by 114.
110
Suppose -3045 = -5*o + 5*v, -v - 4*v = 3*o - 1827. What is the remainder when o is divided by 37?
17
Let a(o) = 6*o + 62. Let f be a(8). Suppose 0 = -104*v + f*v - 354. Calculate the remainder when v is divided by 6*(0 + 40/12).
19
Suppose -3*l + 2*c = -77 - 11, 3*c = -4*l + 123. What is the remainder when (-4)/(-14) + 2924/7 is divided by l?
28
Let l be (127 + (10 - 3))*1/(-2). Let v be ((-8)/(-6))/2*-21. Let k = v - l. Calculate the remainder when k is divided by 9.
8
Suppose -3*c = -3*t + 3603, 0 = t + 2*c - 4*c - 1202. Suppose -20*o + 4*o = -t. Calculate the remainder when o is divided by 26.
23
Let g be -3 + 2 + 9 + (-1 - -3). Suppose y = 2, 5*f - y = 2*y + 14. What is the remainder when (-6*9/(-54))/(2/g) is divided by f?
1
Suppose 315 = 1193*w - 1172*w. Suppose 2*z - 5*z = -162. Calculate the remainder when z is divided by w.
9
Let v(f) = -f**3 - 8*f**2 - 9*f - 5. Suppose -56 = -0*b + 2*b. Let m = b - -53. Calculate the remainder when m is divided by v(-7).
7
Suppose 22*p - 51 = 5*p. What is the remainder when 1537/p - (2 + (-40)/15) is divided by 43?
40
What is the remainder when 1463 is divided by (-24)/(-108)*27 - 1?
3
Suppose 2*t + a + 11 = 0, -5*t - 2*a - 23 = -4*a. What is the remainder when 3/((-3)/t) + 213 is divided by 10?
8
Calculate the remainder when (-1618)/(-6) - 82/123 is divided by 77.
38
Let v(p) = -p - 15*p**2 + 1 - 4*p + 17*p**2 + 1069*p**3 + 6*p - 4*p. Calculate the remainder when v(1) is divided by 16.
13
Let u = -11 - -7. Let v(h) = -916*h**2 + 3*h + 6 - 910*h**2 - h**3 + 1823*h**2. What is the remainder when v(u) is divided by 6?
4
Let y = 31175 + -29978. What is the remainder when y is divided by 254?
181
What is the remainder when 424 is divided by (13/((-234)/891) + -6)*(-20)/6?
54
Suppose 62*g = 1281 + 455. What is the remainder when 329 is divided by g?
21
Suppose 10*z = 17*z + 28. Let f(s) = s**2 - 6*s - 12. What is the remainder when 160 is divided by f(z)?
20
Let n(f) = 15*f**2 + f + 1. Let a be n(-1). Suppose 64*y - 63*y - 23 = 5*h, -2*y - h - 9 = 0. Let q = a - y. Calculate the remainder when q is divided by 6.
5
Let c(x) = 21*x + 517. Let q(o) = -13*o - 345. Let g(k) = -5*c(k) - 8*q(k). What is the remainder when g(34) is divided by 40?
21
Suppose 1140 = 157*c - 100*c. Calculate the remainder when 2657 is divided by c.
17
Suppose -11*h = 14*h - 14*h - 110. Let m = -1079 - -1667. Calculate the remainder when m is divided by h.
8
Suppose 58 = 4*v - 2*j, -2*v - 5*j + j + 44 = 0. Let x be -1*249*4*(-4)/v. Suppose 3*c = x + 150. What is the remainder when c is divided by 34?
31
Suppose -4*k = -223 - 296 + 323. What is the remainder when 54 is divided by k?
5
Suppose -140*g = -78514 + 21394. Calculate the remainder when 475 is divided by g.
67
Let g = -464 - -468. Suppose r + 153 = -0*b + 4*b, 94 = 2*b - g*r. What is the remainder when 479 is divided by b?
35
Let h(q) = -25 - 2*q + 20*q**2 + 25*q**2 - 44*q**2. What is the remainder when h(-9) is divided by 21?
11
Suppose 4*b - 162 = 5*p + 65, 271 = 5*b - 2*p. What is the remainder when 311 is divided by b?
46
Let m be -7 + 12 - 7 - 12. Suppose -6*o + 2*o = -380. What is the remainder when o is divided by (m/(-42))/(1/42)?
11
Suppose f - 120 = -v + 53, 0 = -4*f - 8*v + 688. What is the remainder when f is divided by 77?
20
Let p(f) = 13*f**2 - 196*f + 25. Calculate the remainder when p(17) is divided by 57.
51
Let r be (8/(-10))/(20/(-50)). Let s be 45/30 + 19/r. Let l(w) = 6*w - 17. What is the remainder when l(s) is divided by 17?
15
Suppose w = -0*w - 466 + 1037. What is the remainder when w is divided by 48?
43
Suppose 24*o - 783 = 15*o. Let d = o + -52. Calculate the remainder when 111 is divided by 10/d - (-201)/7.
24
Suppose 5*s - 24*q + 20*q = 147, -4*s + 5*q = -123. Let j(v) = -13*v + 12. What is the remainder when j(-7) is divided by s?
22
Let a(q) = 12*q**2 + 395*q + 48. Calculate the remainder when a(-34) is divided by 267.
223
Let w(y) = 491*y**3 + 4*y**2 + 7*y - 12. Calculate the remainder when w(1) is divided by 29.
26
Let o = 30642 - 25650. What is the remainder when o is divided by 277?
6
Let v = -1252 - -1844. Suppose -3*m = 13*m - v. What is the remainder when 72 is divided by m?
35
Suppose 4625 = 12*d - 823. Calculate the remainder when d is divided by 58.
48
Suppose -a + 17 = -0. Suppose -19*z + 37555 = 166*z. What is the remainder when z is divided by a?
16
Let r(s) = s**3 + 10*s**2 - 12*s + 7. Let c be r(-10). Let i = c + 51. Suppose 4*k - 6*k + i = 0. Calculate the remainder when k is divided by 15.
14
Suppose 0 = -2*u - h - h - 40, 2*u + h = -41. Let k(j) = -j**3 - 22*j**2 - 28*j - 30. Calculate the remainder when k(u) is divided by 17.
15
Let m(y) be the first derivative of 5*y**2 - 48*y + 26. Suppose -3*l = -24 - 150. What is the remainder when l is divided by m(6)?
10
Let q(t) = 2*t**3 - 59*t**2 + 256*t + 107. Calculate the remainder when q(27) is divided by 135.
134
Suppose 7*h - 5*h = 4*y - 500, -3*y + 3*h = -378. What is the remainder when y is divided by (34/(-17))/((-2)/26)?
20
Let s(d) = -15*d - 18. 