. Let o = 25 - y. What is the remainder when 12 is divided by o?
5
Suppose 18722 = 60*v + 242. Calculate the remainder when v is divided by 97.
17
Let q(g) = 5*g**3 - 59*g**2 - 53*g - 38. Suppose 2*n = 4*k + 20, 6*n = 3*n + k + 50. Calculate the remainder when q(13) is divided by n.
17
Let s = 374 + -370. Suppose -b - 6 = -s*z, 5*b - 4*z = -3*z + 46. Calculate the remainder when 149 is divided by b.
9
Let x(p) = p**3 + 11*p**2 - p. Suppose -4*z + 16 = -2*t + 34, 0 = -3*t + 4*z + 27. Calculate the remainder when x(-11) is divided by t.
2
Suppose 67*g = 56*g + 88. Suppose 9 = d + g, -10 = -v - 3*d. What is the remainder when 12 is divided by v?
5
Let u = -2489 + 2520. What is the remainder when 73 is divided by u?
11
Let m = 38 + 2. Suppose 0 = 3*y + m + 95. Let h = -38 - y. Calculate the remainder when 38 is divided by h.
3
Suppose -3238*z + 3237*z = -18. What is the remainder when 728 is divided by z?
8
Calculate the remainder when 722 is divided by 1/(-10)*4 - 128*7/(-140).
2
Let x(a) = -a**2 + a - 75. Let y be x(0). Let l = 17297 - 17359. Let w = l - y. What is the remainder when 49 is divided by w?
10
Let h = -654 - -668. Suppose 796 = -z - 160. Calculate the remainder when (-2)/7 - z/14 is divided by h.
12
Let r be ((-10)/(-8))/(12/48 + 0). Let g = -49 + 77. Suppose -g = -j + r. What is the remainder when 197 is divided by j?
32
Let j = 2095 - 2032. Calculate the remainder when 112 is divided by j.
49
Suppose 10*g + 3*r = 8*g + 70, 20 = -5*r. What is the remainder when 859 is divided by g?
39
Suppose 3*s - 1456 = 2*z - 3*z, 0 = -4*s + 5*z + 1916. Calculate the remainder when s is divided by 99.
88
Let o = 130 - 128. Suppose r - 3*b = 50 - 14, o*b + 6 = 0. What is the remainder when 96 is divided by r?
15
Let g(u) = -u**3 - 33*u**2 - 63*u - 86. Let c be g(-31). What is the remainder when (-3860)/c - (-6)/(-33) is divided by ((-37)/3)/(1/(-3))?
33
Let k(f) = -f**2 - 13*f + 21. Calculate the remainder when 92 is divided by k(-12).
26
Let g = 10416 + -9661. Calculate the remainder when g is divided by 21.
20
Let s = 7081 + -6952. Calculate the remainder when 557 is divided by s.
41
What is the remainder when 2888 is divided by (-126)/(-8) + ((-3)/(-12)*-3 - -1)?
8
Suppose -144 = -6*s + 2*k, -k - 24 = 2*s - 3*s. Calculate the remainder when 211 is divided by s.
19
What is the remainder when 297 is divided by ((-13)/1)/13*-283?
14
Suppose 4*d + 114 = 138. Suppose -4*f + 213 = -b, -3*f - d*b + 168 = -4*b. What is the remainder when 60 is divided by f?
6
Let b = -357 + 187. Let z = b - -193. Calculate the remainder when 91 is divided by z.
22
Let r = -4 + 72. Suppose 0*g - r = -4*g - 2*j, -g + 17 = 5*j. Suppose 228*f = 6346 + 950. Calculate the remainder when f is divided by g.
15
Suppose 3*s - 3*a = 45, -s + 106 - 87 = -5*a. Calculate the remainder when 348 is divided by s.
12
Let w(m) = -302*m - 591. Calculate the remainder when 675 is divided by w(-2).
12
Let v(s) = 40*s**3 + 11*s**2 + 37*s - 30. What is the remainder when v(4) is divided by 24?
22
Let t(m) = m**3 + 4*m**2 - 2*m - 4. Let r(z) = z**3 + 215*z**2 + 1842*z + 12. What is the remainder when r(-9) is divided by t(-3)?
10
Suppose -5*d = -m + 16, 89*m + 99 = 92*m + 2*d. Calculate the remainder when 143 is divided by m.
19
Let r(w) = -w**3 - 2*w**2 - w + 28. Suppose -12 = 4*p + 4*o, -2*p = 4*o - 0*o + 6. What is the remainder when p + 58 + -4 - -3 is divided by r(0)?
26
Let w(k) = 3*k**2 + 156*k + 353. Calculate the remainder when 99 is divided by w(-50).
46
Let a = -34255 - -34574. What is the remainder when a is divided by 316?
3
Suppose 2306*l + 29337 = 2339*l. Calculate the remainder when 1812 is divided by l.
34
Suppose 3*g - 104 = 4*k, -8*g - 4*k + 120 = -3*g. Suppose 249 = -13*z + g. Let b = -12 - z. Calculate the remainder when 19 is divided by b.
4
Suppose -r - 3 = 2*r - 5*u, 5*u = -2*r - 2. Let i be (45/12)/(r + (-86)/(-80)). Suppose 2*x = -i + 416. Calculate the remainder when x is divided by 31.
28
Let u(q) be the second derivative of 95*q**3/6 - 58*q. Calculate the remainder when u(2) is divided by 48.
46
Let m = 15105 + -14883. What is the remainder when m is divided by 15?
12
Let n(y) = 4 + 8*y - 11*y + 3 + 4. Let p be n(-10). Let c = p - -22. Calculate the remainder when c is divided by 16.
15
Let t be (-6)/(-4)*(-6)/(-1 - 2). What is the remainder when 134 is divided by t*(-4)/72*-138?
19
Let y(o) = 4*o - 17. Let g be y(5). Suppose -g*m = 2*m + 940. What is the remainder when 169 is divided by -3 - ((-27)/(-45) - m/(-5))?
33
Let d = 6219 - 5525. What is the remainder when 706 is divided by d?
12
Suppose 3 = -0*k + 3*k - 3*x, 0 = -2*k - x + 17. Let v(d) = -24*d + 175. Calculate the remainder when (0 - (0 + 1))*-153 is divided by v(k).
29
Let y = 422 - 192. What is the remainder when y is divided by 20?
10
Let j(g) = g**2 - 32*g + 21*g + 18*g + 6. Let w be j(7). Suppose -7*d + 5*d = -w. What is the remainder when 100 is divided by d?
48
Suppose -u - g = -2, -2*u + 5*g + 10 = -3*u. Suppose -u*n + 5*i = 10, -5*n - 5*i + 28 = -4*n. Calculate the remainder when (1*n)/(2/30) is divided by 4.
1
Let a be (20/30)/(2/24). Suppose 0 = 4*h + 2*s - 32, -4*h + 4*s + 0*s = -a. What is the remainder when 27 is divided by h?
3
Let b = 12 - -28. Suppose -b + 3 = -z. Let o = z - 28. What is the remainder when 26 is divided by o?
8
Suppose -u + 21 = -3*m, 0 = 5*u + 5*m - 108 + 63. Calculate the remainder when 4037 is divided by u.
5
Suppose 0 = -15*w + 12*w - 12. Let t = w - -9. Suppose -5*f = 3*l - 67, 3*l + 0*f - 47 = t*f. What is the remainder when 35 is divided by l?
16
Suppose 3*m - 11 = -8, 2*w - 1247 = -3*m. What is the remainder when w is divided by 156?
154
Let z = -26054 + 26311. What is the remainder when 1283 is divided by z?
255
What is the remainder when 54 is divided by -5 - (14 - 27 - 46)?
0
Suppose 64*f - 40 = 62*f - 5*b, 4*f = 4*b + 80. Calculate the remainder when 2397 is divided by f.
17
Let v(m) = -28*m - 28. Let g be v(-1). Calculate the remainder when (-3772)/(-92)*(2 - g/(-1)) is divided by 19.
6
Suppose 0 = -13*x + 19 + 72. Calculate the remainder when 20 is divided by x.
6
Calculate the remainder when (16/(80/115) - 15)*(-1279)/(-4) is divided by 183.
179
Let v = -496 - -636. Let n(r) = -10*r - 4. What is the remainder when v is divided by n(-2)?
12
Suppose -2*x + 1542 = 6*w, -4*w + 3*x = -2*x - 1009. What is the remainder when w is divided by 135?
121
Let i = -5787 - -5808. Calculate the remainder when 921 is divided by i.
18
Suppose -5753 + 40343 = 6*v. Suppose 34400 - v = 69*f. Calculate the remainder when f is divided by 105.
100
Let g(o) = 26*o + 105. Let k be g(-2). Suppose 256 = -4*p + 4*s + 88, 0 = -3*p - 5*s - 86. Let m = p + k. Calculate the remainder when 62 is divided by m.
14
Suppose -3*t = 3*q - 432, -4*q + 624 = t + 24. What is the remainder when 1040 is divided by q?
128
Let b be ((-2)/3)/(22/165). Let j(r) = 2*r**3 + 8*r**2 - 12*r - 5. Calculate the remainder when 87 is divided by j(b).
2
Suppose 0 = -16*i + 30*i - 6986. What is the remainder when i is divided by 101?
95
Suppose 0 = -396*h + 472*h - 9728. Calculate the remainder when 398 is divided by h.
14
Let h = 366 - 364. Suppose 5 - 15 = -2*i, h*s + 5*i - 191 = 0. What is the remainder when 329 is divided by s?
80
Let l be -15*((-16)/6 - -1). Calculate the remainder when (1155/l)/11*5*7 is divided by 25.
22
Suppose -44*i = 33*i + 10*i - 10962. Calculate the remainder when 720 is divided by i.
90
Suppose 380 = -3*t + 140. Let m(a) = a**3 - 23*a**2 + 45*a - 6. Calculate the remainder when m(21) is divided by (t/36)/10 - (-364)/18.
17
Let f(b) = 55*b**2 - 54*b + 123. Calculate the remainder when 1028 is divided by f(2).
88
Let g(q) be the second derivative of 11*q**3/3 - 47*q**2/2 + 54*q. What is the remainder when g(13) is divided by 22?
19
Let d = -5860 + 5889. Calculate the remainder when 226 is divided by d.
23
Let m(l) = l + 38. Suppose -50 = 8*x + 6. Calculate the remainder when 163 is divided by m(x).
8
Suppose 0 = -v - 5*i + 894, 56*v - 5*i + 1753 = 58*v. What is the remainder when v is divided by 170?
9
Let t = -45 + 50. Suppose t*f - 170 - 755 = 0. What is the remainder when f is divided by 27?
23
Let z(v) be the second derivative of 0 - 1/12*v**4 + 5/3*v**3 + 0*v**2 + 29*v. Calcula