
Let t(w) = -4*w - 45. Let y be t(-12). Calculate the remainder when 190 is divided by (y - (-21)/(-9)) + (-142)/(-3).
46
Let u be 0/((8/(-12))/((-2)/6)). Suppose -4*y - 5*s + 97 = u, 16*y = 12*y + 2*s + 62. Calculate the remainder when 175 is divided by y.
13
Let f(r) = r**3 - 79*r**2 + 10*r - 573. Calculate the remainder when f(79) is divided by 13.
9
Suppose 0 = z - 479 + 119. Let w = z - -27. What is the remainder when w is divided by 15?
12
Let t = 12 - 9. Suppose -t*v = g + 2*g + 15, v - 20 = 4*g. Suppose v = -s + 81 - 2. Calculate the remainder when s is divided by 17.
11
Suppose -393*j = -394*j + 1076. Calculate the remainder when j is divided by 30.
26
Suppose -5*f = 5*u - 8350, 2*f + 8364 = 4*u + u. Let s = -273228 - -273282. Calculate the remainder when u is divided by s.
52
Suppose 11*m = 6*m + 240. Suppose 3*q + 3*g = m, 4*q - 20*g - 32 = -16*g. What is the remainder when 33*((-4)/(-3))/2 is divided by q?
10
Suppose -2458 = 7*a - 57*a + 942. What is the remainder when 13394 is divided by a?
66
Suppose 0 = -8*s + 3*s - 150. Suppose 352*o = 320*o + 1248. Let a = s + o. What is the remainder when 14 is divided by a?
5
Let u = 10610 - 10469. What is the remainder when 739 is divided by u?
34
Suppose -8*k = 7*l - 6*k - 1114, 4*k = l - 142. Calculate the remainder when 22751 is divided by l.
157
Calculate the remainder when 167 is divided by ((-54)/(-27))/(102/(-106) + 1).
8
Let c = 2702 - 2434. What is the remainder when c is divided by 13?
8
Let c(o) = 11*o - 102. Let i be c(9). Calculate the remainder when 57 is divided by 4 + (12 - i) + 0 + 2.
15
Suppose 0 = 40*r - 4*r + 108*r - 5472. Calculate the remainder when 3759 is divided by r.
35
Calculate the remainder when ((-880)/60)/((-2)/(-66)*-2) is divided by 8.
2
Let t(l) = l**3 - 5*l**2 - 6*l - 8. Let v = -121 - -190. Let z = -52 + v. Calculate the remainder when t(7) is divided by z.
14
What is the remainder when 7 + -10 + 0 - -79 is divided by 19*(2 - 1) - -1?
16
Let h(n) = -2*n**3 + 33*n**2 + 58*n - 92. Let k(g) = g**3 - 17*g**2 - 29*g + 47. Let f(d) = -4*h(d) - 9*k(d). What is the remainder when f(19) is divided by 10?
8
Suppose -172*c = -202*c + 12060. Calculate the remainder when c is divided by 34.
28
Suppose 4*j + 373 = h + j, -h - 3*j + 385 = 0. Let w = h + -369. Calculate the remainder when w is divided by 10.
0
Let v be (-4)/(-14) - (-229)/7. Suppose -4*b + h - 148 = 0, -12*h + 16*h = -b - 20. What is the remainder when 67 is divided by (-766)/(-22) - (b/v)/6?
32
Let h = 3755 + -3687. What is the remainder when 405 is divided by h?
65
Let y = -786 - -808. Let j = 1016 - 850. Calculate the remainder when j is divided by y.
12
Let o = 3052 + -2705. What is the remainder when o is divided by 14*((-4)/(-2) - 1)?
11
Suppose -3*d + 85 = 2*n, -386*n + 170 = -383*n - 4*d. What is the remainder when 90 is divided by n?
40
Suppose l - 234 = i - 61, -2*i + 2 = 0. Calculate the remainder when l is divided by 30.
24
Suppose 2*n - 230 = -25*h + 26*h, 4*n - 448 = 4*h. Let r(z) = z**2 - 4*z - 5. Calculate the remainder when n is divided by r(6).
6
Suppose -11*p + 145*p - 6312 - 41124 = 0. Calculate the remainder when p is divided by 19.
12
Let m = -371 + 571. Suppose -10*o + 6*o = -m. Calculate the remainder when 90 is divided by o/4 - (56/(-16) + 3).
12
Suppose 192*m + 167*m - 388*m + 22852 = 0. Calculate the remainder when m is divided by 9.
5
Let c(r) = -39 + 2*r + 0*r - 7 + 2*r - r. Calculate the remainder when 348 is divided by c(30).
40
Let f = -428 + -95. Let m = 556 + f. What is the remainder when m is divided by 9?
6
Let i = 66 - 54. Suppose i*s + 683 = 2039. What is the remainder when s is divided by 39?
35
Suppose 8957 = 21*s - 3118. Suppose -j + 27 + 67 = -5*r, 5*j - s = 4*r. Calculate the remainder when j is divided by 24.
23
Suppose 3*x = -2*m + 4841, x + m - 566 - 1048 = 0. Calculate the remainder when x is divided by 95.
93
Let q(v) = 54*v**2 - 22*v + 7. What is the remainder when 396 is divided by q(2)?
38
Suppose -34*c - 3*j + 289 = -33*c, 3*c = 4*j + 802. What is the remainder when c is divided by 29?
13
Let h(t) = 2*t**2 + 15*t - 72. What is the remainder when 1077 is divided by h(8)?
21
Let l = 42 + 403. Suppose i + 267 = 4*i - 2*t, -l = -5*i - 5*t. Calculate the remainder when i is divided by 45.
44
Suppose -341*p = -604*p + 240119. What is the remainder when p is divided by 54?
49
Let b(y) = 4*y**2 + 3*y - 4*y + 34 + 29*y**3 - 5*y**2 - 32. What is the remainder when b(1) is divided by (4/7)/((-1800)/(-224) + -8)?
13
Let q(b) = -252*b - 1996. Calculate the remainder when 5398 is divided by q(-8).
18
Suppose -77*y + 5*s + 52535 = -72*y, s = 5*y - 52543. Calculate the remainder when y is divided by 48.
45
Suppose 411 + 225 = 4*c + 8*c. Calculate the remainder when 533 is divided by c.
3
What is the remainder when 332 is divided by (1 - 10/80*58)*-4?
7
Let o(l) = -l**3 - 7*l**2 + 5*l + 7. Let g = 2198 - 2195. What is the remainder when o(-8) is divided by g?
1
Let n = -9 + 23. Let k = 23 + n. Suppose -5*u - 407 = -5*i + 128, -2*u + 336 = 3*i. What is the remainder when i is divided by k?
36
Suppose 0 = p - 5*l + 5, -2*p + 4*p = 4*l - 4. Suppose p = -5*w + 8*w - 6. What is the remainder when 13 is divided by (w/(-4))/(1 - 114/108)?
4
Let o = 10640 + -10511. Calculate the remainder when o is divided by 52.
25
Let u = -3828 + 6697. Suppose -831 - u = -20*y. Calculate the remainder when y is divided by 21.
17
Suppose 0 = 2*r + 4*g - 60, -5*g + 18 + 12 = r. What is the remainder when (r/(-12))/((-2)/164) is divided by 11?
7
Suppose 0 = c - 11*c - 110. What is the remainder when 12 is divided by ((-79)/(-11) - (-2)/c)/1?
5
Calculate the remainder when (-6 + 3 + 51)*(304/(-12))/(-2) is divided by 99.
14
Let r = -17 + 223. Let t = 229 - r. Calculate the remainder when 112 is divided by t.
20
Let n(d) be the third derivative of 7*d**5/12 - d**4/4 - 7*d**3/6 + 132*d**2 - d. What is the remainder when n(-3) is divided by 55?
51
Let h(f) = 36*f + 16. Let y be h(7). Suppose 4*l + v = -v + y, -2*v + 4 = 0. What is the remainder when l is divided by 23?
20
Suppose 2*b - 3*k + 117 = 7*b, -3*k + 45 = 2*b. Suppose -b + 32 = d. What is the remainder when d is divided by 4?
0
Suppose 0 = t + 3*t + 4*x - 56, 2*x = 2. Let l(c) = 10*c - 60. Let o be l(-11). What is the remainder when o/(-7) - (69/21 - 3) is divided by t?
11
Suppose 0 = -69*b + 3917 + 11677. What is the remainder when 2257 is divided by b?
223
Calculate the remainder when 5128 is divided by -14 - -20 - (4 + -11 - (36 + -4)).
43
Let t = 72 + -64. Let x(y) = -3*y + 16. Let g be x(t). Calculate the remainder when g/(-40) - (-1002)/15 is divided by 18.
13
Let z(p) = -79*p - 7866. What is the remainder when 640 is divided by z(-100)?
28
Suppose 247*y - 49*y = 119*y + 1817. Let d(x) = 0 + 0 - 3 + 11*x. Calculate the remainder when d(3) is divided by y.
7
Suppose 0*x - 102 = -5*x - h, 0 = 4*x - h - 87. Suppose 17*d + 100 = x*d. Let n(g) = 2*g**2 + 6*g - 126. What is the remainder when d is divided by n(7)?
11
Suppose 17*d - 2787 = 22756 - 3137. What is the remainder when d is divided by 12?
10
Suppose -84*x + 81*x + 7471 = -4*s, 4*x - 3*s = 9945. What is the remainder when x is divided by 32?
17
What is the remainder when ((-6)/4)/(14 - 1185/84) is divided by 1 - 1*-1*1/1?
0
Suppose 56*r - 53*r = 60. Suppose 0*s + 10 = 2*s. Suppose 0 = d - s*d + 312. Calculate the remainder when d is divided by r.
18
Suppose 2*v - 50 - 20 = 0. Suppose -9*q + 4*k = -789, -16*q + k = -11*q - 453. Calculate the remainder when q is divided by v.
23
What is the remainder when 74 is divided by 3/81*(-2 - -5) - (-107)/9?
2
Let l(f) = f**2 - 58*f - 57. Let x be l(15). Let u = x + 721. Calculate the remainder when 814 is divided by u.
16
What is the remainder when (22260/(-24))/((-17)/68) is divided by 9?
2
Suppose 0 = -4*k - 24, -25*d + 22*d + 780 = 3*k. Calculate the remainder when 954 is divided by d.
156
Let v(r) = 19*r - 97. Let d = 481 - 474. What is the remainder when 105 is divided by v(d)?
33
Suppose -r + 5*r + 5*m = -12, -12 = 3*m. Suppose -74 = -5*i - 4*l, -6*i + 60 = -r*i + 4*l. What is the remainder when i is divided by 7?
0
Suppose -2*h = -2*z - 1730, 2*z + 5053 - 734 = 5*h. What is the remainder when 3452 is divided by h?
0
Suppose -5*a +