ed by 9.
8
Let j(r) = 10*r - 167. Let v be j(17). Suppose v*i = 12*i - 369. What is the remainder when i is divided by 25?
16
Suppose v + x - 121 = 0, -2*v + 231 = -3*x - 26. Let m = -97 - -122. Calculate the remainder when v is divided by m.
24
Let q(r) = 2*r + 69. Let b be q(39). Calculate the remainder when (-19)/(4 + b/(-35)) is divided by 43.
9
Let q be (-8)/2*23/2. Let p(v) = 51*v - 1. Let l be p(1). Let i = l + q. Calculate the remainder when 47 is divided by i.
3
Suppose 240*u - 236*u = 3*z + 78, 0 = -3*z - 18. What is the remainder when 2008 is divided by u?
13
Calculate the remainder when 131 is divided by -12*16/(-10 - -8).
35
Let n = -5970 - -6127. What is the remainder when 162 is divided by n?
5
Let m(y) = 2*y**2 - 3*y - 1. Suppose -16*w = -2*w - 75 - 345. What is the remainder when w is divided by m(-2)?
4
Suppose -r = -5*o + 187, -238*o + 245*o - 254 = 4*r. Calculate the remainder when 473 is divided by o.
17
Let w = -109 + 85. Let d be w/36 - 154/(-6) - 3. Let j(x) = x**2 - 20*x + 15. Calculate the remainder when j(d) is divided by 6.
5
Suppose -27*r = -3*r - 205 - 2099. Calculate the remainder when 151 is divided by r.
55
Let r = 92 + -29. Suppose 22*c - 18*c - 12 = 0. Suppose -c*n - 51 = -84. Calculate the remainder when r is divided by n.
8
Let i(c) = 4 + 7 + 2*c - 6 + 5*c. Let w be i(4). What is the remainder when 2/(-3) + 2299/w is divided by 18?
15
Let l(b) = -2*b + 2. Calculate the remainder when 11/(-44)*-17*28 is divided by l(-5).
11
Let l be (3 - -70)/((-5)/25). Let r = 714 + l. Suppose -121 = -5*h + r. What is the remainder when h is divided by 19?
18
Let r(v) = 33*v + 3504. Calculate the remainder when r(-99) is divided by 62.
51
Let h be (-26)/39*(-2 + -1) + -2. Let i be h + 23/7 - 4/14. Suppose 45 = 3*u + i. Calculate the remainder when u is divided by 4.
2
Suppose 0 = -80*t + 43*t + 45*t - 2664. Calculate the remainder when t is divided by 75.
33
Let y(w) = -w**2 + 17*w - 46. Let l be y(4). What is the remainder when 87 is divided by 0 + (-4 - (-156)/l)?
21
Suppose 7*h + 3*n - 126 = 4*h, 4*h = n + 178. Suppose -g + 2*f = 4*f - 224, 5*g - 5*f = 1075. Calculate the remainder when g is divided by h.
42
Let y(t) = 8*t**2 - 1619*t + 3232. Suppose k + 247 = 2*k. Suppose 3*n + 2*c = 156, 2*n - k = -3*n + c. What is the remainder when n is divided by y(2)?
24
Suppose -8*b + 290 = 418. What is the remainder when 0 - ((-3)/(-4) - (-108)/b) is divided by 1?
0
Let q(j) = -3*j**2 - 20*j - 12. Let a(z) = -13*z**2 - 79*z - 47. Let g(t) = -2*a(t) + 9*q(t). Calculate the remainder when 168 is divided by g(-19).
39
Let y = -1819 + 1866. What is the remainder when 4978 is divided by y?
43
Let b(j) = j**3 + 8*j**2 - 9*j - 12. Let f be b(-8). What is the remainder when 226 + 3 + f/(-10) is divided by 75?
73
Suppose 3*o - 50 = -g, -3*o - 2*g + 41 = -11. Let d = 1241 - 1181. What is the remainder when d is divided by o?
12
Let n be (-6)/(-2)*(4 + (8 - 1)). Suppose n*z - 35 = 38*z. Calculate the remainder when 7 is divided by (-175)/z*(-1)/(-5).
2
Suppose 3*q - 1591 = -5*o + 2*q, 1583 = 5*o + 3*q. Let l(c) = -642*c - 610. Calculate the remainder when o is divided by l(-1).
31
Calculate the remainder when 1954 is divided by ((-5)/(-20) - (-195)/(-20))*-2.
16
Let b = -15 - -17. Let l be 8/b*(-8)/(-16). What is the remainder when 41 is divided by (-513)/(-45) + l/(-5)?
8
Suppose 360 = -0*b + 6*b. Let o = b - 14. Calculate the remainder when 91 is divided by o.
45
Let t(k) = 6*k. Let p be 3 - (-2)/6*(-6)/2. Let j be t(p). Let r = j + 3. Calculate the remainder when 44 is divided by r.
14
Suppose -4*o = 2*t + 14*t - 1356, 4*o - 4*t - 1196 = 0. Calculate the remainder when 485 is divided by o.
178
Suppose 0 = -1156*b + 1157*b - 61. Calculate the remainder when 140 is divided by b.
18
Suppose 0 = 3*w + 4*a - 41, -102*a = -99*a - 24. Calculate the remainder when 6830 is divided by w.
2
Suppose -2*i + 8 = -6. Calculate the remainder when (2/13 + 112/(-52))*-51 is divided by i.
4
Let m = 59 - 81. Suppose 16*k - 12*k = 8. Let d = k - m. Calculate the remainder when 47 is divided by d.
23
Let p be 4 + 3/3 - 0. Suppose -2*s + p*s - 18 = 0. Suppose -4*j + 131 = y, s*j - 3*y = 10*j - 129. Calculate the remainder when 195 is divided by j.
30
Let k(f) = 4*f**3 + 55*f**2 - 14*f + 20. Let z(i) = i**3 - 51*i**2 - 109*i + 145. Let v be z(53). Calculate the remainder when k(v) is divided by 14.
6
What is the remainder when 1979 is divided by -22*((-15)/18)/(1*8/24)?
54
Let w = 115 + -115. Let t(f) = -f**3 - 2*f + 9. Calculate the remainder when 21 is divided by t(w).
3
Let q(u) be the third derivative of -u**6/120 - 13*u**5/60 + 29*u**4/24 + 17*u**3/3 + 127*u**2. What is the remainder when 190 is divided by q(-15)?
43
Let l(a) = -2*a**2 + 66*a - 75. Let m(d) = -2*d**3 - 45*d**2 + 22*d + 8. Let k be m(-23). Calculate the remainder when l(k) is divided by 5.
4
Suppose -2*i = 3*j + 444, -655 = -5*i + 8*i - j. Let w = i - -237. Calculate the remainder when w is divided by 7.
4
Suppose 12633 = 129*t - 150681. Calculate the remainder when t is divided by 74.
8
Let q = -10777 - -11198. What is the remainder when q is divided by 29?
15
Let d(t) = t**3 + 2*t**2 - 25*t + 7. What is the remainder when (54/(-9))/((-2)/55) is divided by d(-5)?
51
Let h = -251 + 138. Let m = 123 + h. Suppose 0 = -5*g + 3*g + 54. Calculate the remainder when g is divided by m.
7
Let p be (10 - (3 + 4))*(-4)/(-6). Calculate the remainder when 143 is divided by -16*((-3)/(-6) - p).
23
Suppose -k + 2*t + 10 = -21, t = 5. Suppose 3*o - 53 = r, -39*o = -k*o + r + 34. What is the remainder when 130 is divided by o?
16
Suppose -24*c - 3107 = -11*c. Let l = 252 + c. Calculate the remainder when 96 is divided by l.
5
Let h(p) = -2*p**3 + 24*p**2 - 36*p + 24. What is the remainder when h(10) is divided by 22?
20
Suppose 0 = 2*u, -1312*u - 5070 = -5*n - 1315*u. Calculate the remainder when n is divided by 94.
74
Let a(u) = -8*u**2 + 3*u - 9. Let p be a(6). Let s = 292 + p. What is the remainder when 41 is divided by s?
2
Let g(j) = -6*j - 4. Let p be g(-2). Suppose -2*a = -p*u + 9*u, -3*a = 4*u - 25. Calculate the remainder when 87 is divided by u.
7
Let l = -9320 + 9419. What is the remainder when 1562 is divided by l?
77
Let g = 19 + -10. Suppose 20 = 2*l + u, -g*l + 6*l + 19 = -4*u. Suppose 2*c = -2*n + 108, -5*n + 4*c = -c - 240. Calculate the remainder when n is divided by l.
6
Suppose 31*s - 4 = 29*s. Suppose 2*n - 304 = -b, -316 = -b + 3*n - s*n. Calculate the remainder when b is divided by 15.
12
Let x = 489 - 982. Let g = -481 - x. Calculate the remainder when 477 is divided by g.
9
Let w = -234 + 244. Suppose 44 = 2*v + w. What is the remainder when v is divided by 3?
2
Let h = 684 - 677. Let w(p) = p**2 + 9*p - 106. What is the remainder when 23 is divided by w(h)?
5
Let n be -1 - ((-3 - 1) + 1 + -1). Suppose 3*x + 5*j = 2*x - 45, -x - 5 = -n*j. Let z = x - -28. Calculate the remainder when 10 is divided by z.
2
Let s(a) = 9*a**2 - 86*a + 215. Calculate the remainder when s(40) is divided by 88.
87
Suppose -2*m = 0, 132 = 3*g - 90*m + 86*m. Calculate the remainder when 859 is divided by g.
23
Suppose -4*l - 71 = -375. Let h(z) = -343*z + 4829. Calculate the remainder when l is divided by h(14).
22
Suppose -151 + 481 = -6*x. What is the remainder when ((-68)/6)/(x/45 - -1) is divided by 9?
6
Suppose 1503 = 1141*y - 1132*y. Suppose 173*g = y*g + 138. What is the remainder when 503 is divided by g?
20
Suppose -22 - 14 = -2*u + i, u + 3*i = 32. Suppose -1417 - 343 = -u*h. Calculate the remainder when h is divided by 30.
28
Let p = 5122 - 4881. What is the remainder when 8192 is divided by p?
239
Suppose 0 = -5*k + 35, 7*s = 10*s + k - 124. Calculate the remainder when 7640 is divided by s.
35
Suppose 19*m + 17*m - 1836 = 0. What is the remainder when 516 is divided by m?
6
Let z = 7578 - 6686. What is the remainder when z is divided by 183?
160
Let k(t) = 2*t**2 - 2*t + 6. What is the remainder when k(9) is divided by (-21300)/(-420) + (-4)/(-14)?
48
Let r = -2 - 17. Let i(a) = a**2 + 22*a + 70. Calculate the remainder when 128 is divided by i(r).
11
Suppose 68*n + 55*n - 1707 - 2229 = 0. Suppose 0 = l - 4*l + 75. Calculate the remainder when n is divided by l.
7
What is the remainder wh