ppose -3*s = 3, 0 = -61*u + 65*u + 5*s - 403. Calculate the remainder when 415 is divided by u.
7
Let x be (0 - (-12)/(-10))/(22/11110). Let q = 626 + x. Let y(l) = 8*l**2 + 4*l - 1. Calculate the remainder when y(-3) is divided by q.
19
Let q = -3290 + 3921. What is the remainder when q is divided by 108?
91
Let c = 698 + -703. Let o = -29 - -18. What is the remainder when 83 is divided by (-1 + c)/(10 + o)?
5
Let n = 62 + -165. Let t = 91 + n. What is the remainder when 11 is divided by (-18)/t*-12*4/(-18)?
3
Let a = 1553 - 1199. What is the remainder when a is divided by 15?
9
Let l = 3847 - -16220. What is the remainder when l is divided by 116?
115
Suppose 0 = 4*z + 7*k - 5720, 2*z - 5*k - 1750 = 1110. Calculate the remainder when z is divided by 286.
0
Suppose -26*d + 23*d - 1164 = -9*d. What is the remainder when d is divided by 47?
6
Suppose -2*l + 170 = 5*c, 26*c - 23*c - 5*l - 133 = 0. What is the remainder when (2*(-393)/c)/((-13)/78) is divided by 36?
23
Let o(b) = b**2 - 15*b - 5588. What is the remainder when 1449 is divided by o(-68)?
49
Suppose 136*o - 518 - 602 = 512. Calculate the remainder when 12165 is divided by o.
9
Let i be (-2 - -3)*40/8. Suppose -5*s + 14 = 2*c - 2*s, i*s = -5*c + 35. Suppose c*u - 12*u = -235. Calculate the remainder when u is divided by 28.
19
Suppose 41*v - 19*v - 352 = 0. What is the remainder when 2462 is divided by v?
14
Calculate the remainder when 20371/130 + 3*(-6)/(-60) is divided by 57.
43
Let s(j) = 126*j + 34. Let k be s(2). Suppose 4*r - 5*p - 222 = 0, 5*r - p - k = p. Calculate the remainder when r is divided by 9.
4
Suppose 3*m + 78 = 84. Suppose 0 = -2*a + 3*d + 108, m*a + 7*d - 120 = 4*d. Let f = -38 + a. What is the remainder when 52 is divided by f?
14
Let p = 4870 + -4842. Calculate the remainder when 8398 is divided by p.
26
Let u = -4807 - -4813. Calculate the remainder when 599 is divided by u.
5
Suppose 3*l - 176 - 12 = -2*n, -n = -3*l + 194. Suppose 53*y + 209 = 315. Suppose y*x = 34 + l. Calculate the remainder when x is divided by 25.
24
Let a(h) = 9*h + 1. Calculate the remainder when 9 - (42/(-273) + 128/(-13)) is divided by a(1).
9
Let w(a) = 44*a**2 + a - 1. Let x be ((-4)/10)/(4/(-10)). What is the remainder when 175 is divided by w(x)?
43
Suppose -19*t = -22*t + 36. Let z(s) = -2*s**2 - 13*s - 5. Let r be z(-9). What is the remainder when 15 is divided by t/8*r/(-15)?
0
Let r(v) = v**2 + 3*v + 7. Let c = -8 - -5. What is the remainder when ((-30)/(-12) + c)*(0 - 194) is divided by r(-6)?
22
Let v(l) = 4*l**3 - 1 + l - 3*l**3 + 1 - 5 - 19*l. What is the remainder when 4 is divided by v(-4)?
1
Let q = -24205 - -27692. Calculate the remainder when q is divided by 50.
37
Let x be 24050/200 + 9/(-4) - 1*-2. Let a = 1 - -6. Suppose -a*g + x = g. Calculate the remainder when 41 is divided by g.
11
Let r = 846 + -839. Suppose -2*s = -2*d - r*s + 91, -3*d - 5*s = -139. What is the remainder when 166 is divided by d?
22
Let b(g) = -79*g**2 - 2*g + 5160. What is the remainder when b(0) is divided by 29?
27
Suppose -93*h - 82*h + 2544 = -14*h - 55*h. Suppose -1131 = -3*o + 2*k - 104, 16 = 4*k. Suppose 3*t - o = -2*t. Calculate the remainder when t is divided by h.
21
Suppose -2*l = -5*l + 2*b + 36, -2*l - 3*b + 24 = 0. What is the remainder when 3*(-3)/2*(-5658)/369 is divided by l?
9
Suppose 39*t - 2369 = -809. Calculate the remainder when 27638 is divided by t.
38
Let b(d) = -d**2 + 149*d - 3355. What is the remainder when b(31) is divided by 29?
13
Suppose 12 = a + 2*a, -24 = -4*b - 2*a. What is the remainder when 3*(b + 361)*2/15 is divided by 31?
22
Let t = -5095 - -5176. Let m = 20 - -23. What is the remainder when t is divided by m?
38
Suppose 13*j - 6 = 7*j. Let y(s) = 22*s - 7. Let i be y(j). Suppose -75 = -6*k - i. Calculate the remainder when 44 is divided by k.
4
Suppose -16*y + 1624 - 632 = -2912. Calculate the remainder when y is divided by 24.
4
Suppose -5*w + 3*n = -140, 4*n = -22*w + 23*w - 28. What is the remainder when 240 is divided by w?
16
Let l = -6822 + 8276. Calculate the remainder when l is divided by 19.
10
Let u(c) = -c**2 - 12*c - 20. Suppose -91*j - j = -1012. What is the remainder when u(-7) is divided by j?
4
Let a be -5 - 7*(24/(-7) - -2). Let z(p) = p**2 - 9*p + 59. What is the remainder when 75 is divided by z(a)?
36
Let t = -2294 - -2356. Calculate the remainder when 181 is divided by t.
57
Let n(k) = 2*k**2 + 50*k + 182. Calculate the remainder when 176 is divided by n(-22).
26
Let a = 236889 - 236845. Calculate the remainder when ((-1)/2)/((-3)/402) is divided by a.
23
Let d(f) = -f**3 - 2*f**2 + 4*f + 15. Let t be d(-5). Suppose -6 = 5*h - 4*b - t, 3*b = h - 15. What is the remainder when 28 is divided by h?
4
Suppose 5*c - 3*y - 19 = -0*c, 5*c - 25 = 5*y. What is the remainder when (2/15*-6)/(c/(-85)) is divided by 5?
4
Suppose 3*h - 26*d + 28*d = 345, 3*d = 0. Suppose -h - 53 = -7*y. What is the remainder when 172 is divided by y?
4
Suppose 9*p - 4*p = 3*b - 308, 0 = 3*p + 3. Suppose -173*g + 13356 = 79*g. Calculate the remainder when b is divided by g.
48
Suppose -4*s + 276 + 721 = 5*u, 2*u - 4*s = 382. What is the remainder when u is divided by 6?
5
Suppose 2*f = -5*r - 9 + 71, 0 = -4*f + 3*r + 150. What is the remainder when f is divided by (52/6)/(14/21)?
10
Suppose -7*h - 15582 = -285*h + 10272. Calculate the remainder when 109 is divided by h.
16
Let n(s) = -s**2 - s. Let h(j) = j**3 - 37*j**2 - 33*j - 117. Let k(u) = h(u) - 5*n(u). What is the remainder when 121 is divided by k(33)?
25
What is the remainder when (-12*540/35 - -8)*-7 is divided by 24?
16
Suppose -97*a = -101*a + 24. Suppose -137 = -a*w - 5. Let u = -159 - -266. Calculate the remainder when u is divided by w.
19
Let k(m) = -m**3 + 5*m**2 - 2*m. Let j be k(2). Let z(b) = b**3 - 2*b**2 - 2*b - 33. Calculate the remainder when z(j) is divided by 86.
77
Suppose -3*b - 229 = 2*n - 1051, -7*n = 4*b - 2916. Calculate the remainder when n is divided by 41.
10
Let p = 28 - 14. Suppose -19*f + 8*f = -55. What is the remainder when p is divided by f?
4
Let l(g) = g**2 + g + 12. Let p(a) = 418 + 5*a - 2*a - 375. Calculate the remainder when p(-9) is divided by l(0).
4
Let o(u) = -14*u - 26. Let k(v) = -6*v - 13. Let r(x) = -9*k(x) + 4*o(x). What is the remainder when r(-5) is divided by 5?
3
Suppose 0 = 75*r - 56*r - 2242. Calculate the remainder when 461 is divided by r.
107
Suppose 0 = 8*n - 12*n + 5*t + 2326, -2*n = 3*t - 1152. Calculate the remainder when n is divided by 5.
4
Let i be (-2 - (-9 + 4)) + -5. Let v be 7/i - (-7)/(56/12). What is the remainder when (-2)/(-4) + (v - 190/(-4)) is divided by 12?
10
Suppose -t - 21 = -4*i, -7*t = -2*t - 4*i + 169. Let b = t + 23. What is the remainder when (-1 + (-2)/b)*(1 + -8) is divided by 3?
0
Let m(y) = 30*y**2 - 13*y + 24. Let q be m(2). Suppose -q + 478 = 24*u. What is the remainder when 237 is divided by u?
12
Let v = -4788 - -4876. Suppose -28 = 5*q + 3*a + 28, 51 = -3*q + 4*a. What is the remainder when v is divided by (-3)/(2 + q/6)?
16
Suppose 5310 = 6*b - u, -31*b + 32*b = 3*u + 868. What is the remainder when b is divided by 11?
6
Suppose 102 = 31*x - 15925. Let v = -367 + x. Calculate the remainder when v is divided by 23.
12
Suppose 0 = 148*t - 28963 + 17901 - 35854. What is the remainder when t is divided by 20?
17
Suppose -3*g + 4*q + 10283 = -18055, -3*g + 5*q + 28347 = 0. Calculate the remainder when g is divided by 39.
35
Let r(u) = u**3 + 4*u**2 - 5*u - 5. Let p be r(3). Suppose 5*k - p = -3*j, 8*j - 13*j = -4*k + 27. What is the remainder when 45 is divided by k?
5
Let u = 5174 - 4990. What is the remainder when u is divided by 46?
0
Let j(k) = -39*k - 7. Suppose 0 = 8*w + 10*w - 1350. Calculate the remainder when j(-4) is divided by w.
74
Suppose 0 = -3*h - 1 + 1. Suppose h*m + 141 = m. Calculate the remainder when m is divided by 16.
13
Let a(o) be the second derivative of o**3/3 + 2*o**2 - 29*o. Let u be a(-2). Suppose u = -6*w + 5 + 1. What is the remainder when 4 is divided by w?
0
Let k(p) = 253*p + 4846. Let h(z) = z**3 - z**2 + 10. What is the remainder when k(-19) is divided by h(0)?
9
Let o be 1/(-2)*(-104 - 0). Suppose 0 = u - 4*s - 47, -o = -2*u + 4*s + 62. What is the remainder when u is divide