
8
Let x be (-1)/(-9)*3*0. Let t be -2 - x - 264/(-6). Calculate the remainder when 9/2*t/(4/4) is divided by 32.
29
Let j(m) = -m**3 - 12*m**2 + 2*m + 23. Let t be j(-12). What is the remainder when (24/72)/(1/(-102)*t) is divided by 13?
8
Suppose 0*t - 25 = 2*t - 5*g, -4*t - 2*g - 38 = 0. Calculate the remainder when 40 is divided by (6/2 - t/(-15))*6.
12
Let u be (-42)/(-4)*6 + (-3)/1. Suppose 0 = -25*b + 30*b + u. Let j = b + 43. What is the remainder when 54 is divided by j?
23
What is the remainder when 80 is divided by (-3)/4 - 30060/(-720)?
39
Let n = -482 + 1003. Let t = n + -470. What is the remainder when t is divided by 13?
12
Suppose 4*k + 2*d + 22 = -4, 2*k + 17 = -5*d. What is the remainder when 159 is divided by (k/(-5))/(3/100)?
39
Let i(h) = h**2 + 8*h + 2. Let b be i(-8). Suppose 2*w + w - 189 = 3*k, -3*k = -b*w + 128. What is the remainder when w is divided by 13?
9
Suppose -2*b - 8 = -4*b. Suppose 0 = 2*s - 11*s + 36. Suppose -w = -s*v - 3*w + 66, 0 = 4*v - b*w - 60. What is the remainder when v is divided by 6?
4
Suppose 23*w + 4 = 24*w. Suppose -5*i = -5*j + 9*j - 72, -5*j = -w*i - 90. Calculate the remainder when 69 is divided by j.
15
Suppose 31*q - 36*q = -205. Suppose 7056 = q*z - 13526. Calculate the remainder when z is divided by 42.
40
Let b = 5877 + -5863. Calculate the remainder when (-30)/8*(-32)/4 is divided by b.
2
Calculate the remainder when 2/(-10) - (-707)/35 is divided by 80/(13 - 29) + 11.
2
Let q(g) = 1228*g + 12338. What is the remainder when 1928 is divided by q(-10)?
14
Let u be 4 - (-8)/3*12/4. Suppose 760 + 296 = u*r. Calculate the remainder when r is divided by 10.
8
Suppose -42 = -5*s + 4*r, 5*r = -5*s + 17 + 43. What is the remainder when (5092/603)/((-4)/(-18)) is divided by s?
8
Let v be (-1 + 10/14)*-658. Suppose 34*p - 36*p = -v. What is the remainder when p is divided by 49?
45
Suppose 3*z - 182 - 126 = -4*r, -2*z = -2*r - 224. Let d = z + -86. Suppose 5*c = d*c - 1241. Calculate the remainder when c is divided by 19.
16
Suppose 5*b - 19 = 2*a - 3*a, a = 2*b + 47. Let u = 32 - 99. Let g = u - -258. What is the remainder when g is divided by a?
35
Let k(q) = 11*q**3 + 60*q**2 + 17*q + 6. Suppose 0 = 5*w + 25, 2*y - 191 - 3 = 4*w. What is the remainder when y is divided by k(-5)?
41
Let l(o) = 2*o - 3. Suppose 6*p + 806 = 11*p - 3*n, p - 4*n = 151. Let q = 190 - p. Calculate the remainder when q is divided by l(5).
6
Let r = -4 + 18. Suppose -78*a + 2725 = -53*a. What is the remainder when a is divided by r?
11
Suppose 18*i = 38*i - 3900. Suppose 1 = v - 2. Suppose v*f = 6*f - 42. Calculate the remainder when i is divided by f.
13
Suppose 3*z + 12 = 0, -3*z + 980 - 2362 = -5*d. Let h = d - 247. What is the remainder when 59 is divided by h?
5
Suppose 97*a - 144 = 93*a. Suppose -1875 = -15*l + 270. Calculate the remainder when l is divided by a.
35
Suppose 3*g + 4*n + 50 = 3*n, -64 = 4*g + 2*n. Suppose 3*s = l + s - 30, 0 = -5*s - 5. Let w = g + l. What is the remainder when 58 is divided by w?
8
Let v = 11125 - 10469. What is the remainder when v is divided by 9?
8
Suppose -3*y - 4*l = -665, 689 = 3*y - 2*l - 0*l. Let i(a) = -a**2 - 23*a - 73. Let b be 10*(-6)/3*1/2. Calculate the remainder when y is divided by i(b).
56
Let r(f) = -16*f**2 - 8*f - 4. Let h be r(-6). Let l be 6*(h/(-12) + -3). Suppose -l = 2*k - 6*k. What is the remainder when k is divided by 32?
30
Let p(q) = 4*q + q**3 - 136*q**2 - 1104 + 1075 + 124*q**2. Let u = 18 - 6. What is the remainder when p(u) is divided by 5?
4
Let t(p) = -5*p - 2. Let r be 2 - ((-16)/(-12) - (-4)/6). Let m be (2 + r)*-1 - (-5 + 7). What is the remainder when 88 is divided by t(m)?
16
Suppose 0 = -3*n + 4*n - 3*y - 2315, 5*y - 25 = 0. Calculate the remainder when n is divided by 37.
36
Let s(j) = 129*j - 6988. What is the remainder when 2231 is divided by s(55)?
91
What is the remainder when 415 is divided by 0 + 388/14 - (-24)/84?
23
Suppose 7*z - 2*z - 21 = -q, 5*z = -2*q + 37. Suppose -28 = 1122*b - 1123*b. What is the remainder when b is divided by q?
12
Let p(i) = -2*i + 40. Let z be p(-8). Suppose 5*j - 5*o - 420 = 0, 0*j - 2*o + 360 = 4*j. What is the remainder when j is divided by (20/5 - 1)*z/6?
4
Let c = 37 - 35. Suppose c*q - 23 = -3*t + 133, 0 = t + 4*q - 52. Suppose -2*i + 14 = -0*z + 2*z, -3*z = 4*i - 30. What is the remainder when t is divided by i?
7
Suppose 0 = 5*g - 10, h + 4*g + 7 = -13. Let z(y) = 2*y + 94. Calculate the remainder when z(h) is divided by 21.
17
Suppose 16*i = 23*i - 189. Suppose 34*o = -5*o + 585. Calculate the remainder when i is divided by o.
12
Let y(j) = -6*j - 5. Suppose -5*r - 13*o = -17*o - 41, -3*o = -2*r + 8. Calculate the remainder when y(-5) is divided by r.
12
Let m = 33 - 36. Let w be 10/5 - (0 + -24)/m. Calculate the remainder when 6 is divided by (5/(45/w))/((-3)/18).
2
Suppose q + t - 58 = 0, q = -3*q + 5*t + 223. Let i = 32 - 30. Calculate the remainder when q is divided by (i/6)/(19/855).
12
Suppose 36 + 8 = 22*m. Suppose -3*i + 120 + 3 = 3*q, 4*i + m*q - 164 = 0. What is the remainder when i is divided by 21?
20
Let s(j) = -104*j**3 + 2*j**2 + 105*j + 107. Calculate the remainder when 241 is divided by s(-1).
25
Suppose -3 = -0*w - w. Suppose 3*f = d + 55, -2*f = w*f + 5*d - 85. Calculate the remainder when -8 - 2/(-7 - (-598)/86) is divided by f.
17
Let x(j) = 12*j**2 - 2*j + 1. Let z(r) = r**2 + 5*r + 18. Let l = 167 - 174. What is the remainder when z(l) is divided by x(1)?
10
Let o(v) = -153 + 40 + 12*v + 29 + 23 + 23. What is the remainder when o(50) is divided by 12?
10
Let u = 38 + -38. Suppose 0 = -3*j + 3*m + 642, u*j - 4*m = j - 214. Calculate the remainder when j is divided by 24.
22
Let k(d) = d**3 + 11*d**2 - 2*d - 11. Calculate the remainder when 3462 is divided by k(-11).
8
Suppose -24 = -n + 17. Suppose -2*i + 5*x + n = 0, -4*x - 12 = -0*x. Calculate the remainder when 51 is divided by i.
12
Suppose 110085 = 68*g - 92215. What is the remainder when g is divided by 71?
64
Let n(p) = p**2 + 3*p + 8. Let a(s) = 4*s**2 + 22*s - 216. What is the remainder when n(-6) is divided by a(-11)?
0
Suppose 2*m - 3*q - 174 = -5*q, 5*m = 5*q + 435. Let w = 290 + m. Calculate the remainder when w is divided by 14.
13
Let z = -35 + 37. Calculate the remainder when 6/(-10) - (-4338)/30 is divided by (319/22)/(1/z).
28
Let p(d) = d**2 + 9*d + 35. Let k be p(-11). Suppose 53*l = k*l - 100. What is the remainder when 74 is divided by l?
24
Let z = -18542 + 20264. Calculate the remainder when z is divided by 430.
2
Let h(t) be the second derivative of t**4/12 - 7*t**3/6 + t**2 + 4*t - 14. Let j = -20 + 33. Calculate the remainder when h(12) is divided by j.
10
Suppose f = -76*t + 81*t - 1233, -5*t - 2*f + 1239 = 0. What is the remainder when t is divided by 145?
102
Let x = 19 - 429. Let i = 475 + x. What is the remainder when i is divided by 10?
5
Let d = -1083 + 1340. What is the remainder when d is divided by 51?
2
Let m = -637 + 1252. Suppose 8*n - m = 505. What is the remainder when n is divided by 71?
69
Let f = 211 - 214. Calculate the remainder when (-83 - 1)*1/f is divided by 11.
6
Suppose 1329*r + 156 = 1332*r. Suppose 0 = -0*s + 3*s + 162. What is the remainder when r is divided by s*(2 + (-10)/4)?
25
Let i = -368 - -549. What is the remainder when i is divided by 31?
26
Suppose 0 = 2*n - 16 - 6. Suppose 16*l - 750 = n*l. What is the remainder when l is divided by 76?
74
Let g = -148 - -217. Suppose -2*n - 22 = 10. Let o = 2 - n. Calculate the remainder when g is divided by o.
15
Let o(w) = -2*w + 1. Let c(k) = 20*k + 2. Let d(i) = -c(i) - 6*o(i). Calculate the remainder when 90 is divided by d(-6).
10
Let q(n) = n**2 + 2*n + 2. Let d be q(-3). Suppose -4*y = 5*v + 30 - 131, 3*v = -d*y + 71. What is the remainder when 423 is divided by v?
15
Suppose 2*x - 3*x + 15 = 0. Suppose -95*z - 25*z + 11310 = 10*z. What is the remainder when z is divided by x?
12
Let a(t) = -16*t + 47. Let q be a(-12). Let v = 607 - q. Calculate the remainder when v is divided by 5.
3
Suppose 6*k - k - 153 = -4*t, -5*k = 3*t - 156. Let f = -94 - -156. Calculate the remainder when f is divided by k.
29
Let n(p) = 15*p + 562. Calculate the remainder when 137 is divided by n(-29).
10
Suppose 27*o - 532 = 12*o - 3