
14
Let u = -6129 + 6140. What is the remainder when 306 is divided by u?
9
Suppose -5*p + y + 923 = -953, -6 = y. What is the remainder when p is divided by 152?
70
Suppose 27*u = 23*u. Suppose u = 3*f + 7*f - 1210. Calculate the remainder when f is divided by 21.
16
Let j(r) = 160*r - 154. Let i = -17 + 36. What is the remainder when j(2) is divided by i?
14
Suppose 0 = 62*a - 57*a - 130. Let b(y) = 4*y + 72. Calculate the remainder when b(a) is divided by 55.
11
Suppose -19*o + 120*o + 118*o - 9855 = 0. Suppose t + t = 6. Suppose 28 = t*h - 239. What is the remainder when h is divided by o?
44
Suppose -47*k + 36*k + 42680 = 0. Suppose -246*l + 254*l = k. What is the remainder when l is divided by 61?
58
Suppose -667*m - 497 = -674*m. Calculate the remainder when 1562 is divided by m.
0
Let l be 42/49 + 10056/28. Suppose -l + 80 = -20*c. Calculate the remainder when 810 is divided by c.
12
Calculate the remainder when 600 is divided by 10 + (-11 + -12 - -15).
0
Let l = 25 + 32. Let x = 6743 + -6570. Calculate the remainder when x is divided by l.
2
Let c(y) = 10*y**2 + 185*y - 60. What is the remainder when c(-19) is divided by 12/18 - 62/(-6)?
2
Suppose d + 32576 = 52*d - 5521. What is the remainder when d is divided by 27?
18
Let i = -388115 + 388203. Suppose 122 = 5*s - 38. What is the remainder when i is divided by s?
24
Suppose -7*l + 4*l + 9 = 0. Suppose 2*c - 9 = -5*g, 4*c - 2*g = l*c + 27. Suppose 0 = 5*b - c - 18. What is the remainder when 25 is divided by b?
4
Let r = -33963 + 35254. What is the remainder when r is divided by 257?
6
Suppose -6*x = -11 - 127. Suppose 104 = 27*c - x*c. Calculate the remainder when c is divided by 5.
1
Suppose 3*s + 10 + 2 = 0, 4*o = 2*s + 308. Calculate the remainder when 314 is divided by o.
14
Suppose -248 = 8*u - 9*u. Suppose 225*c = u*c - 1104. Calculate the remainder when c is divided by ((-2)/(-4))/(2/68).
14
Let v(u) = -u**3 - 6*u**2 + 22*u - 54. Let f be v(-9). Let r(t) = -t**3 + 7*t**2 - 7*t + 5. Calculate the remainder when f/(-45)*235 + 5 is divided by r(5).
12
Let v be 19 - (16 + -7 - 7). Suppose 14*i + 72 = v*i. Calculate the remainder when 71 is divided by i.
23
Let x = -4093 + 4121. What is the remainder when 311/4 + (-5)/(-20) is divided by x?
22
Let x = -22 + 13. Calculate the remainder when -9*(x - -5 - -3) is divided by 5.
4
Suppose -3*j = -4*b + 45, -3*b - b - 2*j = -50. Let z be (1 + 1)*(-40034)/148. Let p = z + 563. What is the remainder when p is divided by b?
10
Let v(i) = -5*i**2 - 109*i + 451. Suppose y - 21 = -0*y - 3*u, 5*y + 2*u - 92 = 0. What is the remainder when v(-25) is divided by y?
15
Let d(g) = -g**3 - 13*g**2 + 18*g + 62. Let c = -17 + 3. Calculate the remainder when 14 is divided by d(c).
2
Suppose 5*y = 4*m - 488, 5*m + 5*y - 380 - 275 = 0. Let f = -59 + m. Calculate the remainder when f is divided by 7 + 17 + 6 + 7.
31
Let b = -6 - -10. Suppose -3*r + 3*d = -2*r - 28, d = -b*r + 164. What is the remainder when r is divided by (-266)/(-38)*52/28?
1
Let i(n) = -698*n - 4480. What is the remainder when i(-8) is divided by 13?
12
Suppose -2*x = -5*p + 528, 15*p - 19*p + 4*x = -432. What is the remainder when 408 is divided by p?
96
Let b = 56 - 38. Suppose 9 = -b*s + 21*s. Suppose 133 + 35 = 4*i - 4*f, 0 = s*i + f - 118. Calculate the remainder when 156 is divided by i.
36
Suppose -3*z - 25 = -8*z. Suppose -5*m + z*w = 2*w - 77, m = -4*w + 20. Let f(y) = 10*y - 20. What is the remainder when m is divided by f(3)?
6
What is the remainder when 5282 is divided by (2718/6)/(98/34 - 16/(-136))?
148
Let k = -15653 + 15710. Calculate the remainder when 283 is divided by k.
55
Suppose -9857 = -109*o + 9710 + 1797. Calculate the remainder when o is divided by 167.
29
Let a(i) = -52*i + 268. What is the remainder when a(-9) is divided by 125?
111
Suppose 10*f = 34 + 156. Let w = 8 + -3. Suppose w*c = 5*h - 565, 0 = 4*h - 2*c - 686 + 238. What is the remainder when h is divided by f?
16
Let r(i) = -102*i - 9. What is the remainder when r(-4) is divided by (4 - 0/6)/((-8)/(-100))?
49
Let y(s) = -s**3 - 10*s**2 + 97*s + 1032. What is the remainder when 685 is divided by y(-11)?
83
Let o = -9 - -13. Suppose 4*l = -2*s + 72, -o*s = -0*s + 5*l - 147. Calculate the remainder when s is divided by 19.
0
Let m(i) = -i**2 - 8*i + 217. Let k(y) = y + 11. Calculate the remainder when m(-19) is divided by k(-5).
2
Let x = 5340 + -3094. What is the remainder when x is divided by 15?
11
Let g = -9903 - -9971. What is the remainder when 573 is divided by g?
29
Suppose 353*z - 27093 - 333320 = 0. What is the remainder when z is divided by 69?
55
Let t = -130 - -244. Let z = 221 - t. Suppose -2*r - 25 = 5*a - 168, -5*r = 4*a - 128. What is the remainder when z is divided by a?
26
Let w = -87 - -71. What is the remainder when (2/(-3))/((-24)/2844) is divided by 86/6 + w/48?
9
Calculate the remainder when (-7899)/2*(7 + (-930)/90) is divided by 57.
55
Let a = 18 + 4. Let l = 178 + -100. What is the remainder when l is divided by a?
12
Suppose 12*h = 90*h - 3432. Calculate the remainder when 67 is divided by h.
23
What is the remainder when 262 is divided by (558/(-9) - -4)/3*(-6)/4?
1
Let m = -5001 - -5173. Suppose -2*q + 2*f = -66, -q + 0*f + 39 = 2*f. What is the remainder when m is divided by q?
32
Calculate the remainder when 6628 is divided by 4/2*1/((-9)/9) + 87.
83
Let p(z) = 4*z**3 + 4*z**2 + z - 7. Let v be p(3). Let l(f) = f**2 - 8. Calculate the remainder when v + 2/5 + (-68)/20 is divided by l(6).
25
Let y(n) = -28*n**3 + n + 1. Let g be y(-1). Suppose u + 20 = 2*x, 2*x + 0*u - 3*u = g. Calculate the remainder when -30 + 40 + 54/2 is divided by x.
5
Suppose -o - 6 = -7*z + 4*z, 5*o - 3*z - 6 = 0. Suppose c + 21 = -5*f + 77, -2*c = -o*f + 31. Calculate the remainder when 89 is divided by f.
1
Suppose 40*r + 4 = 39*r. Let n(y) = y**3 + 4*y**2 - 3*y. Let g be n(r). Let x = g - 4. What is the remainder when x is divided by 5?
3
Suppose 0 = 2*w + 3*o + 2*o + 19, -4*w - 24 = -4*o. What is the remainder when 247 is divided by (124/(-14))/(1/w)?
61
Let t = -1943 + 1971. What is the remainder when 526 is divided by t?
22
Let z be (-310)/(-6) + 0 + (-1)/(-3). Suppose -7*y + 46 + z = 0. Suppose 190 = -12*n + y*n. Calculate the remainder when n is divided by 14.
11
Suppose 19*u - 17*u - 164 = -j, 462 = 5*u - 4*j. What is the remainder when u is divided by 80?
6
Suppose -5*n + 360 = 2*c, 2*n - 5*c = 25 + 90. Calculate the remainder when n is divided by 45.
25
Let t(a) = -a**2 - 7*a - 10. Let x be t(-3). Suppose -x*r = -54 + 14. Calculate the remainder when 119 is divided by r.
19
Suppose -11276 = -l - 27*l + 9052. What is the remainder when l is divided by 240?
6
Suppose -i = -297 + 261. Suppose 7*a = 48 + i. Calculate the remainder when a is divided by 9.
3
Let d be 72/(-6)*9/12. What is the remainder when 695 is divided by d*((-68)/(-12) - 7)?
11
Let q = -3960 - -4273. Calculate the remainder when 1802 is divided by q.
237
Let r be -4*(-2)/((-8)/(-34)). Suppose 388*u - 390*u - 3*i = -92, -3*i + 239 = 5*u. Suppose r = -x + u. What is the remainder when 86 is divided by x?
11
Suppose 9*t + 275 = -1849. Let h = -181 - t. What is the remainder when h is divided by 12?
7
What is the remainder when (30078/(-60) - 4/((-40)/3))/(-1) is divided by 168?
165
Let f = 12650 - 11207. Calculate the remainder when f is divided by 85.
83
Suppose -53*j = -51*j. Suppose 3*k - 97 = k - 5*o, -3*o + 15 = j. Suppose 43*m - k*m - 98 = 0. Calculate the remainder when 94 is divided by m.
10
Suppose -995*d = -1003*d + 40. Calculate the remainder when 229 is divided by d.
4
Calculate the remainder when 66 is divided by (-54)/144*-8 + 3*4.
6
Let m(z) = z**3 - 2*z**2 + 116*z - 792. What is the remainder when 2540 is divided by m(6)?
44
Let s = 14851 - 14830. What is the remainder when 515 is divided by s?
11
Let g = -198 - -204. Calculate the remainder when 107 is divided by 81/g*(-88)/(-33).
35
Let j(k) = 845*k**3 + 2*k**2 - 291*k + 573. What is the remainder when j(2) is divided by 1689?
3
Let h(w) = 36*w + 1415. What is the remainder when 261 is divided by h(-37)?
12
Suppose -2*k = 3*d - 332, 5*k - 851 = 527*d - 531*d. Calculate the remainder when 371 is divided by k.
21
Suppose 39*b = 35*b - 3*o + 3109, -4*b - 5*