j = 10*v. What is the remainder when 36 is divided by v?
10
Let v(l) = -l**3 + l**2 + 51*l + 1. Calculate the remainder when 4217 is divided by v(7).
57
Let z(a) = a**2 - 61*a + 744. Calculate the remainder when 4190 is divided by z(45).
14
Suppose 3*r + 5*m - 70 = 0, -4 = -9*r + 7*r + 2*m. Let p = 47 + -24. Suppose 0 = -5*x - 8 + p. Calculate the remainder when r is divided by x.
1
Let n(f) = f**3 - f - 1. Let a(i) = 94*i**3 - i**2 + 4*i + 5. Let s(y) = -a(y) - n(y). What is the remainder when s(-1) is divided by 33?
29
Suppose 2*i = -g - 2 - 8, 14 = -4*g + 5*i. Let v(t) = -18*t + 13. Calculate the remainder when v(g) is divided by (-2 + (-54)/(-12))*10.
21
Suppose c - 36 = -d, 5*d + 8*c = 5*c + 188. Calculate the remainder when 355 is divided by d.
35
Let q be 24/(-10)*(-80)/24*-1. Let h be (436/q)/(15/(-6) + 3). Let l = -82 - h. Calculate the remainder when l is divided by 9.
0
Let k = -132 - -302. Let p(x) = 23*x + 111. Calculate the remainder when k is divided by p(-4).
18
Let r = -718582 - -718625. Let a = 19 - 12. Suppose 2*y = -u + a, -y + 19 = y - 3*u. What is the remainder when r is divided by y?
3
Let o(c) = -7*c - 4. Let i be o(-3). Suppose -3*w = -3, -10*k - 53 = -6*k - w. Let h = k + i. What is the remainder when 6 is divided by h?
2
Let b(x) = 154*x - 3. Let f be b(1). Suppose 4*r = -4*z + 137 + f, -r + 2 = 0. Suppose -20*t = -22*t + z. What is the remainder when t is divided by 10?
5
Let t be (2*3 - 1)/(-39 + 40). Suppose -w + i = -17, -w - t*i = 4 - 27. What is the remainder when 67 is divided by w?
13
Suppose 26*z = -i + 22*z + 15, 0 = 3*i + 3*z - 117. Suppose 0 = v + 2*v - 1263. Calculate the remainder when v is divided by i.
45
Let s(u) = -u**2 - 27*u + 65. Let f be s(-29). Let t(i) = 11*i - 60. Calculate the remainder when 60 is divided by t(f).
9
Let w be (-112)/42*4/((-16)/6). Suppose i + 183 = 4*i - 3*p, -2*i + 131 = p. Suppose -w*o + i = -0*o. Calculate the remainder when 76 is divided by o.
12
Let c(s) = 509*s - 4811. What is the remainder when c(17) is divided by 124?
122
Let k(z) = z**3 + 8*z**2 - 5*z + 10. Let u = -7966 + 7981. Calculate the remainder when k(-8) is divided by u.
5
Suppose -5*z + 2675 = 5*u, -5*u - 179 = -4*z + 1934. Calculate the remainder when z is divided by 178.
176
Suppose 2*o - 943 = -907. Let t be ((-10)/2)/(2/(-2)). Suppose -t*f = -f - 564. Calculate the remainder when f is divided by o.
15
Suppose -8*l = -54*l + 27048. Let b = -544 + l. Calculate the remainder when 214 is divided by b.
38
Let f(z) = z**2 - 3*z + 4. Suppose 0 = 14*p - 8*p + 984. Let o = 9 - p. What is the remainder when o is divided by f(6)?
19
Let q = 200 + -204. Let l(h) = 3*h**2 - h - 2. Calculate the remainder when l(q) is divided by 30.
20
Suppose 3*y = 4*b + 27, 4*b - 4*y + 5*y + 39 = 0. What is the remainder when 5*b/((-45)/182) - 1 is divided by 26?
25
Suppose -26 + 96 = 14*c. Suppose 0 = -b + c, v = 3*b - 13 + 34. What is the remainder when 52 is divided by v?
16
Let c(w) = -9*w**3 + 28*w**2 + 2*w - 6. What is the remainder when 682 is divided by c(2)?
36
Suppose 4*q = 2*h - 84, -22*h + 2*q + 262 = -16*h. Calculate the remainder when 292 is divided by h.
28
Let d = -449 - -448. Calculate the remainder when (-5883)/(-37) + d + -1 + -2 is divided by 23.
17
Let z(p) = 15*p - 42. Calculate the remainder when z(10) is divided by ((-66)/(-55))/((-2091)/420 - -5).
52
Suppose 4*k - 58 = x, 64 = 52*k - 48*k + 2*x. Calculate the remainder when 331 is divided by k.
1
Let g = 316 + -303. Suppose -g*t = 205 - 621. Calculate the remainder when t is divided by 9.
5
Suppose 10*s - 11*s = -3, -f - s = -28. Let d(o) = 7*o**3 + 3*o**2 - 7*o + 5. Suppose -3 = 3*u - 9. What is the remainder when d(u) is divided by f?
9
Let q(l) = 3*l + 562. What is the remainder when q(-63) is divided by 77?
65
Suppose 15 = 3*q + 6. Let b be q/2*(-80)/60. Calculate the remainder when 78*(2/12)/((-1)/b) is divided by 9.
8
Let i = 11800 + -11771. What is the remainder when 289 is divided by i?
28
Let t be ((-15)/25)/((-11)/605). Suppose 3*n - 60 = -3*f, -5*n = f + t - 125. Calculate the remainder when 62 is divided by n.
8
Suppose 141*a - 2185 = 136*a. Let l = a - 327. What is the remainder when l is divided by 25?
10
Suppose 75*m + 157540 - 158815 = 0. Suppose 5*u - 496 = -4*w, 0 = -2*u - 4*w + 2*w + 200. What is the remainder when u is divided by m?
11
Suppose -340*m + 320*m + 320 = 0. Suppose 3*n + 3 = 45. What is the remainder when m is divided by n?
2
What is the remainder when (-30)/90 - 2620/(-12) is divided by 102?
14
Suppose 2*b - 14271 = -f, -5*f + 1 = -34. What is the remainder when b is divided by 3561?
10
Let i be (3/5)/(195/(-1950)). Let x(g) = -g + 1. Let y be x(-2). Calculate the remainder when 188 is divided by ((-15)/y - -2)/(i/76).
36
Let k = -2128 - -2207. What is the remainder when 5844 is divided by k?
77
Let s = 49 - 11. What is the remainder when s is divided by (-3)/(2 + 25/(-10))?
2
Suppose -8*p = -3*p - 505. Calculate the remainder when p is divided by (-116)/(-10) + 3856/(-2410).
1
Suppose 4*t - 24 - 21 = 3*i, -2*t = -6. Suppose 2*a = 67 + 97. What is the remainder when a is divided by (-2448)/(-88) + (-2)/i?
26
Suppose -3*u = -4*d + 10756, 2843 = 2*d + 5*u - 2535. What is the remainder when d is divided by 9?
7
Let s(y) = 7*y - 2. What is the remainder when 49/(7007/(-7384))*(-33)/6 is divided by s(4)?
24
Suppose -415*w - 1615 = -7717 + 292. What is the remainder when 1028 is divided by w?
6
Let j = 576 - 553. Let n be (-2)/1 + (13 + 3)/4. Suppose 35 + 1 = n*c. What is the remainder when j is divided by c?
5
Let j = -21296 + 21377. What is the remainder when j is divided by 42?
39
Let c be (13/(-52))/((-2)/56). Suppose 2*q - 19 = -4*t + c, 2*t - 3 = q. Calculate the remainder when 6 is divided by t.
2
Calculate the remainder when 235 is divided by 51/(-238) + 24597/126.
40
Let z = -12 - -13. Let c = -30 - -26. Calculate the remainder when 45 is divided by ((-9 - -9) + -7 + z)*c.
21
Suppose -25*u = -33*u + 2016. Suppose -15*d + u = -3*d. Suppose -2*z = -4*v + 5*v - 17, 5*v = 4*z + 15. What is the remainder when d is divided by v?
0
Suppose -4*m + 8*d + 120 = 5*d, -5*m + 3*d + 153 = 0. Let o(p) = 11*p**2 - 5*p - 4. Calculate the remainder when o(-3) is divided by m.
11
Suppose 4092 = -1406*i + 1437*i. What is the remainder when 272 is divided by i?
8
Let t = -102 - -647. What is the remainder when t is divided by 46?
39
Let n(a) = -2*a - 5. Let t be n(-7). Suppose 2*f + 343 = t*f. What is the remainder when 440 is divided by f?
48
Let l = 825 - 375. Suppose 5*f - 1022 - l = -r, r + 586 = 2*f. Let v = 452 - f. What is the remainder when v is divided by 40?
38
Let f = 260 - 253. Suppose 0 = -f*p + 4*p + 2*r + 47, -41 = -3*p + 5*r. What is the remainder when 79 is divided by p?
11
Let z(y) = y + 17. Let b(a) = a**3 + 11*a**2 + 11*a + 7. Calculate the remainder when b(-4) is divided by z(9).
23
Suppose 45*o + 106*o = 31861. Calculate the remainder when o is divided by 7.
1
Let o be (-3004)/(-5) + ((-64)/(-20) - 3). Let y = o - 580. What is the remainder when y is divided by 14?
7
Suppose 390 = -26*v + 13*v. What is the remainder when 21 is divided by (18/v)/((-1)/5)?
0
Suppose -l + 7 = 26 - 85. What is the remainder when 188 is divided by l?
56
Suppose 35 = 17*t - 84. Let o = 961 + -2522. Calculate the remainder when o/(-105) - (-4)/30 is divided by t.
1
Let o(t) = -3*t**3 + 106*t**2 - 228*t + 40. Calculate the remainder when 374 is divided by o(33).
96
Let w = -458 - -458. Suppose w = 2*u + 4*k - 48, 39*u - 35*u - 114 = -2*k. What is the remainder when 507 is divided by u?
27
Let b = -26030 + 27267. Calculate the remainder when b is divided by 315.
292
What is the remainder when 3122 is divided by -6 + 10 - (35/(-28) - (-7833)/(-28))?
272
Let y(l) = -l**3 - 2*l**2 - 2*l - 876. Let d be y(0). What is the remainder when (-18)/(-24)*(d/(-18) + 6) is divided by 14?
13
Let i(c) = -c**2 + 33*c - 26. Let h be (-12 - -56)*(-1 + (-7)/(-2)). Let p = h + -48. Calculate the remainder when i(17) is divided by p.
60
Suppose 4*z = l - 165, 0*z + 3*l = -5*z - 219. Let a = 30 + z. Let q = 6 - a. Calculate the remainder when 35 is divided by q.
17
Let y be ((-5008)/20)/(1 - (-351)/(-345)). Suppose -2997 = 13*m - y. Suppose -3*r + m = 106. Calcu