-13 + r. What is the remainder when b is divided by 21?
18
Suppose 0 = 5*u + 2*j - 58, 60 = 610*u - 607*u - 3*j. Calculate the remainder when 15 is divided by u.
1
Let u(q) = -29. Let p(m) = -m + 1. Let n = -64 + 63. Let r(f) = n*u(f) - 2*p(f). What is the remainder when 155 is divided by r(6)?
38
Suppose 4*b + 19*b - 1702 = 0. Suppose 0 = -0*d - 2*d - 2*i + b, -106 = -3*d - 2*i. Calculate the remainder when d is divided by 6.
2
Suppose 127*j - 117*j - 2690 = 0. What is the remainder when j is divided by 145?
124
Suppose -24 = -0*b - 3*b. Let i(j) be the first derivative of -4*j**2 - 36*j - 6. What is the remainder when i(-7) is divided by b?
4
Calculate the remainder when 3957 is divided by 1102/114 + (-8)/(-6).
8
Let b(l) = 11*l**2 - 7*l - 25. Let k(d) = -9*d**2 + 7*d + 26. Let m(p) = 4*b(p) + 5*k(p). What is the remainder when 17 is divided by m(9)?
5
Suppose 29*w + 7 - 36 = 0. What is the remainder when (-2)/((-4)/62) + w + 0 is divided by 17?
15
Suppose 4*d - 5*k - 213 = 0, 2*k + 60 + 105 = 3*d. Calculate the remainder when ((-19)/(d/102))/(1 - 2) is divided by 18.
16
Suppose -3513 + 21981 = 76*q. Calculate the remainder when q is divided by 82.
79
Let s be (24/44)/3 + 2165/11. Let w = s - 192. What is the remainder when w is divided by 3?
2
Let v = 1126 - 335. Suppose -v - 889 = -12*b. Let l = 201 - b. Calculate the remainder when l is divided by 13.
9
Let d(j) = -j**3 + 4*j**2 - 7*j + 98. What is the remainder when 344 is divided by d(0)?
50
Suppose 0 = -8*d + 9*d - 500. Suppose n - 104 - 399 = -2*u, -2*u + d = 4*n. What is the remainder when u is divided by 64?
60
Suppose 1837*m - 1830*m - 343 = 0. Calculate the remainder when 152 is divided by m.
5
Let j(i) = -i + 33. Suppose -2 = 7*q - 9*q. Let p(l) = 4*l**2 - l. What is the remainder when j(20) is divided by p(q)?
1
Let j(l) = l**3 + 12*l**2 - 14*l - 8. Let n be j(-12). Let f = n - 140. What is the remainder when 26 is divided by f?
6
Suppose 0 = o + 4*y - 13, 5*o - 110 = -2*y - 9. What is the remainder when 796 is divided by o?
19
Let o(t) = -814 - t**3 - 4*t**2 - 15*t + 804 - 3*t**2. What is the remainder when 121 is divided by o(-6)?
33
Suppose -5*a + 3*g = -97, -4*g + 116 = 706*a - 702*a. Calculate the remainder when 3210 is divided by a.
13
Let n(t) = -t**2 - 29*t - 37. Let a(v) = -10*v - 150. Let k be a(-13). What is the remainder when n(k) is divided by 12?
11
Let w(b) = -3*b + 30. Let x be w(5). Let r(u) = 2*u - 6. Calculate the remainder when 43 is divided by r(x).
19
Suppose 0 = -5*p - 2*t - 18, -p - p = 4*t + 4. Let l(o) = 2*o**2 - 22*o - 19. Calculate the remainder when l(p) is divided by 56.
45
Let k = -7141 + 7271. What is the remainder when 908 is divided by k?
128
Let r = -2555 - -3977. What is the remainder when r is divided by 95?
92
Let h(y) = -y**3 - 5*y**2 + 3*y - 4. Let u(q) = -258*q - 8. Calculate the remainder when u(-2) is divided by h(-7).
70
Suppose 6*a - 11*a - 6185 = -6*c, -4*c = -a - 4107. What is the remainder when c is divided by 18?
17
Suppose 6 = 4*o - 5*o + 5*p, 68 = 4*o + 3*p. Suppose s - 3 = 17. Suppose 0 = -2*a + 156 - s. What is the remainder when a is divided by o?
12
Suppose -2*d - 3 = 5*o + 8, 3*o - 6 = -3*d. Suppose d*s = 3*s + 204. Let v = 38 + -24. Calculate the remainder when s is divided by v.
9
Suppose -152781*m = -152798*m + 1037. Suppose -2*y = -5*y + 714. What is the remainder when y is divided by m?
55
Suppose -1256*k + 1266*k = 2670. Calculate the remainder when k is divided by 54.
51
Suppose -7*j + 17 = a - 4*j, 3*a = 4*j - 14. Suppose -2*m + a*f = 3*m - 74, 38 = 2*m + 2*f. What is the remainder when m is divided by 8?
0
Let a = 11210 + -11187. Calculate the remainder when 1352 is divided by a.
18
Suppose 2*g - 2*n - 71 = 59, 0 = -5*g + 4*n + 323. What is the remainder when 704 is divided by g?
11
Suppose -8*q + 13*q - 25 = 0. Suppose q*s - 387 = -122. Suppose 0 = 4*c - 13 - 15. Calculate the remainder when s is divided by c.
4
Suppose 0 = -v + 4*n + 43, -4*n + 28 = 3*v - 21. Let q = 24755 + -24665. Calculate the remainder when q is divided by v.
21
Let b be 8/(-4) - (-130)/(-2). Let k = 37 + b. Let q = -14 - k. Calculate the remainder when 60 is divided by q.
12
Let f = -3262 + 3446. Calculate the remainder when 1278 is divided by f.
174
Let f(r) = 7*r**2 + 5*r + 21. Let q be f(-8). Let y = q - 300. What is the remainder when y is divided by 7?
3
Let j(x) = -3*x**2 - 81*x + 498. What is the remainder when 302 is divided by j(-32)?
14
Suppose -35 = -3*z - 4*x, 12*x - 11*x + 34 = 4*z. Let i = 29 - -67. Calculate the remainder when i is divided by z.
6
Let v(c) = 6*c**2 + 141*c + 760. What is the remainder when 8403 is divided by v(-5)?
203
Let n = -530 - -534. Let i be (3/(-2))/(2/(-4)). Suppose 23 = i*l - n*m - 13, 0 = -5*m. Calculate the remainder when l is divided by 9.
3
Let t be -5 + 328 + -2 + 7. Suppose -t - 77 = -5*m. Let l = 52 - 35. What is the remainder when m is divided by l?
13
Suppose -232*m + 5123 = -229*m + z, -3*m - 2*z + 5125 = 0. What is the remainder when m is divided by 45?
42
Suppose -17*t + 3*z = -20*t + 72, -4*t + 97 = 5*z. Suppose -t*l + 4838 = 36*l. Calculate the remainder when l is divided by 2.
0
Suppose -6*l + 65 = -l. Let z(o) = 6*o**3 - 5*o**2 + 4*o. Calculate the remainder when z(2) is divided by l.
10
Suppose 2*u - 216 = 2*q, u + 4*u = 2*q + 216. Let w = q + 165. Suppose 116 = 59*k - w*k. Calculate the remainder when k is divided by 12.
10
Suppose -28*n = -13*n - 12*n. What is the remainder when 112 is divided by n*3/(-11 - -5) + 40?
32
Suppose -25 = -5*y - 3*g + 161, 116 = 3*y + 4*g. Suppose -2*h + 1716 = 2*h. Calculate the remainder when h is divided by y.
33
Let g = 10980 + -10963. Calculate the remainder when 1007 is divided by g.
4
Let k = 8482 + -7967. What is the remainder when k is divided by (-942)/(-22) - 4/(-22)?
42
Suppose 87*b = -1317 + 3318. Let g = -393 + 829. What is the remainder when g is divided by b?
22
Let r be 8/((-112)/21)*-2. Suppose -4*k = -5*n + 178, 3*n + r*k - 16 = 107. What is the remainder when 78 is divided by n?
2
Suppose 0 = 4*k - h - 82, -546*h = -545*h - 6. What is the remainder when 166 is divided by k?
12
Let r(y) = -5*y + 8. Let v be r(2). Suppose 5*m - 122 = 23. What is the remainder when 33/v*130/(-45)*3 is divided by m?
27
Suppose -2*h - 2*u - 6 = 0, -4*h + h + 5*u = 1. Let s be h + 3 + (142 - 3) + -1. Let o = -90 + s. What is the remainder when o is divided by 5?
4
Suppose -1264*c + 418 = 5*r - 1267*c, -c = -r + 82. Let i(z) = -z**3 - 10*z**2 - 10*z. What is the remainder when r is divided by i(-9)?
5
Suppose 4*y = -c + 22, -3*y - 12 = -9. Suppose c*w - 24*w + 2*i - 64 = 0, -w = -i - 34. What is the remainder when 98 is divided by w?
32
Let f = -5278 + 5552. Calculate the remainder when f is divided by 12.
10
Let v = 139 - 119. Suppose 0*p = -5*p + v. Suppose -z + 39 - 3 = -p*x, 5*z = 4*x + 164. Calculate the remainder when 61 is divided by z.
29
Suppose 3*l + 136 = 448. Let v(b) = 48*b + 4681. What is the remainder when l is divided by v(-97)?
4
Suppose -65*y - 138 = -4753. Calculate the remainder when 125 is divided by y.
54
Let w(d) = d**2 - 24*d - 54. Let o be w(26). Let t = 35 + o. What is the remainder when 97 is divided by t?
31
Let v(o) = 4*o + 7. Let w be (-1)/(1*(-2)/10). Calculate the remainder when v(w) is divided by 345/30*(-972)/(-1863).
3
Suppose -22*b + b = 5*b - 806. What is the remainder when 556 is divided by b?
29
Let z(v) = 205*v - 1709. What is the remainder when z(12) is divided by 259?
233
Suppose 2*l = -2*l + 36. Let n(u) = -10*u - 11. Let x be n(-5). Suppose o = 3*f + 41, 2*o - 5*f - x = o. Calculate the remainder when o is divided by l.
8
Let v be 232/6 - (170/30 + -6). Suppose -j - 3*j = 5*l - v, 5*j - 95 = 3*l. What is the remainder when 190 is divided by j?
14
Suppose 20*q = 659 + 4301. Let f = -205 + q. Suppose 36 = 4*y - 0*y. What is the remainder when f is divided by y?
7
Let r(f) = -6*f + 4 - 2 + 8 + 2. Let m be r(-9). Suppose -m = -3*p - 18. What is the remainder when 26 is divided by p?
10
Calculate the remainder when 461 is divided by (-35)/(-15)*(-14916)/(-77).
9
Let y = 3254 - 2967. Calculate the remainder when y is divided by 48.
47
Let d(i) = 7*i**3 + i**2 + 8*i - 8. Let m be d(1). Calculate the remainder when 5