e -348 = -f - f. Calculate the remainder when f is divided by r.
24
Let r be 251 + -1*2/2. Suppose n - r = -4*n. Suppose 2*u = -3*k + 78, -3*u - 88*k = -91*k - 57. What is the remainder when n is divided by u?
23
Let p(x) = -x**3 - 14*x**2 + 49*x - 33. Let t be p(-17). Suppose -3*c - 4*s + 106 = 0, 3*s - t = -2*c + 68. Calculate the remainder when 90 is divided by c.
6
Suppose b - 10 = -b. Suppose 0 = -b*k + 193 - 43. Calculate the remainder when (1 + -3 + 5)/(6/178) is divided by k.
29
Let i(p) = -p**2 + 27*p + 14. Let q be i(25). Suppose 8*l = q - 16. What is the remainder when l is divided by 4?
2
Suppose 3*g - 2 = -g - 2*f, 3*g = -2*f. Suppose n + 6*n + 20 - 293 = 0. What is the remainder when -2 + g*(1 - -38) is divided by n?
37
Let s = 191 - 188. Let g(k) = -k - 7. Let q be g(-12). Suppose -y = -4*y + s*p + 66, -q*y - 3*p = -70. What is the remainder when 47 is divided by y?
13
Calculate the remainder when (5/(-4))/((-60)/576)*(-2586)/(-9) is divided by 6.
4
Let x = -8629 + 15138. What is the remainder when x is divided by 93?
92
Suppose -2*r + 4*t = 12, -5 + 17 = 2*r + 2*t. Suppose -r*n + 3*s = -32, 2*n + 4*s - 40 = 3*s. Calculate the remainder when n is divided by 14.
5
Suppose 0 = 5*y - 58 - 42. Suppose 0 = 11*m - y*m + 585. Calculate the remainder when m is divided by 23.
19
Suppose a = -3*i + 1249, -2*a - 1237 = -7*i + 4*i. What is the remainder when i is divided by 47?
39
Suppose 381*p - 368*p = -1025 + 79246. Calculate the remainder when p is divided by 177.
176
Let n = 4562 + -4442. Suppose 11 = d - 5*k - 10, 2*d - 77 = 3*k. Suppose -2*y + d = -n. What is the remainder when y is divided by 28?
27
Suppose 2*c - 296 = -4*q, 3735*q + 2*c - 148 = 3733*q. Suppose -3*s + 467 = 2*h - 421, -5*h + s + 2203 = 0. Calculate the remainder when h is divided by q.
71
Suppose -4*j = -5*q - 895, -79*j + 76*j + 680 = -2*q. What is the remainder when j is divided by 59?
53
Suppose -4*g - 4*p - 1872 = 0, 4*g - 4*p + 924 = -924. Let c be ((-8)/(-6))/(1385/g + 3). Let d = 86 - c. Calculate the remainder when 118 is divided by d.
22
Suppose 5744*a = 5752*a - 56. What is the remainder when 221 is divided by a?
4
Suppose -15283 = -9*l - 0*l - 8*l. What is the remainder when l is divided by 15?
14
Suppose -4*b = -12, -v + 2*b + 8477 = 1107. Calculate the remainder when v is divided by 217.
215
Let s(d) = -1 - 22 - 447*d - 1 + 62*d. Calculate the remainder when s(-1) is divided by 73.
69
Let p(t) = -2*t**3 + t**2 - t + 1. Let r(d) = -55*d + 1191. Calculate the remainder when r(20) is divided by p(-2).
22
Suppose -6923 + 1783 - 467 = -21*u. Calculate the remainder when 771 is divided by u.
237
Let v = -28 - -26. Let d be v/15 - (-1210)/75. Calculate the remainder when 7 is divided by 1 + -2 + d/4*1.
1
Let k(t) = t**3 - 3*t**2 - 8*t + 7. Let y be k(5). Let g = 24 - y. Suppose -12 = -3*r + d + 43, d + 72 = 4*r. Calculate the remainder when r is divided by g.
3
Let x = 5598 - 5487. What is the remainder when 374 is divided by x?
41
Let j be 7 + (-60960)/(-56) + (-8)/14. Suppose -4*u = -j + 947. What is the remainder when 69 is divided by u?
32
Suppose -3*j = 88 - 25. Let b = j + 23. Let t(q) = -q**2 - 10*q + 13. Calculate the remainder when t(-10) is divided by b.
1
Let s be ((-35)/28)/(1/(-4)) + 3. Let a(h) = h + 46. Calculate the remainder when 209 is divided by a(s).
47
Suppose 0 = 4*w + 3*z - 66, 4*w + 5*z - 21 = 41. Suppose 8*g - 13*g = 5*t, -3*t + 3*g = -w. Suppose 0 = -d + 3. What is the remainder when t is divided by d?
0
Let m be ((-1)/3)/(7/21). Suppose -3*b + 4*c - 18 + 99 = 0, 100 = 2*b + 5*c. Calculate the remainder when (-729)/3*m - 0 is divided by b.
33
Let c = -10297 - -10302. Suppose -4*t = -54 + 2. What is the remainder when t is divided by c?
3
Let p(i) be the first derivative of -6*i**2 - 20*i - 20. Let c = 18 + -14. What is the remainder when p(-2) is divided by c?
0
Let q(v) = 7*v**2 - 8*v + 12. Let d(l) = l**2 + l + 3. Let i(b) = 6*d(b) - q(b). What is the remainder when 147 is divided by i(12)?
27
Suppose 5*q + c - 5*c = 199, 2*q = -c + 77. Let d = 61637 + -61055. Calculate the remainder when d is divided by q.
36
Calculate the remainder when 809 is divided by ((-151)/(-302))/(1 - (-1389)/(-1392)).
113
Let z(l) = -41*l**2 - 17*l - 50. Let u be z(-3). Let q = u - -380. Calculate the remainder when 153 is divided by q.
9
Let j = 11696 + -11554. Calculate the remainder when 275 is divided by j.
133
Let u be 3/2*2/1. Suppose -u*h - 2*h + 35 = 0. Let s = 210377 - 210362. What is the remainder when s is divided by h?
1
Let v(t) = t**3 + 10*t**2 - 12*t + 9. Calculate the remainder when v(8) is divided by 98.
85
Suppose -44*r = -52*r + 120. Let b = -454 - -916. What is the remainder when b is divided by r?
12
Let b = -1336 - -2252. Suppose 13*t = b - 305. What is the remainder when t is divided by 4?
3
Let b = -629 + 141. Let k = b + 531. What is the remainder when 4628/28 + (-4)/14 is divided by k?
36
Let u be 19/(-1) - (-26)/(-26). What is the remainder when 95 is divided by (-95)/(-3) - u/60?
31
Let d(k) = 9*k**2 - 4*k - 133. What is the remainder when d(-9) is divided by 38?
24
Let g(o) = 648*o - 912. What is the remainder when g(6) is divided by 149?
145
Suppose 0 = 3*z + 4*o - 645, -2*z + 2*o = 7*o - 430. Let v(h) = h**3 - 5*h**2 - 3*h - 4. What is the remainder when z is divided by v(7)?
69
Suppose -5*w + 4125 = 5*y, -5*y + 1008 = 4*w - 3116. What is the remainder when y is divided by 0/3 - (-9)/((-36)/(-56))?
12
Let y(l) = -l**2 - 13*l + 4. Let f = -11 + -1. Let z = -1491 - -1546. Calculate the remainder when z is divided by y(f).
7
Suppose 4*g = 12, 3*i + 5 = -2*g - 4. What is the remainder when ((-105)/i)/(((-15)/25)/(-3)) is divided by 56?
49
Suppose -46*u + 538 = -664 - 316. What is the remainder when 24056 is divided by u?
32
Suppose -171*u + 174*u = -5*s + 941, s = 3*u + 199. Calculate the remainder when 5114 is divided by s.
174
Let p = 18025 + -15439. Calculate the remainder when p is divided by 70.
66
Let c = -279 + 421. Suppose -2*j + 3*w + 50 = 0, 3*j - 8*j + c = w. Suppose -40*g = -39*g - 15. What is the remainder when j is divided by g?
13
Suppose -2*q + 3*q + 2136 = 4*s, 4*q = 0. What is the remainder when s is divided by 34?
24
Suppose -3*g + 0*g = -3*w, g + 10 = -w. What is the remainder when 112/2 + g/(-10)*-2 is divided by ((-29)/2)/(44/(-88))?
26
Let n be -3*(5/(-2 - 3) - 1). Suppose 0 = -2*q + 26 + n. Let s = -40 - -103. What is the remainder when s is divided by q?
15
Let z(j) = 23*j**2 + 6. Let s be z(-4). Suppose 0 = -4*q + 2*x + s, -185 = -3*q + 4*x + 108. What is the remainder when q is divided by 25?
16
Suppose -13*c - 6660 + 2565 = 0. Calculate the remainder when 48 is divided by (c/42)/(6/(-8)).
8
Let j = 688 + -1545. Let p = j + 868. What is the remainder when 185 is divided by p?
9
Suppose -2*f + 161 = x, 4*x = -4*f + 289 + 23. Suppose 0 = -8*s - f + 227. Calculate the remainder when 125 is divided by s.
17
Suppose -5*g + 206 = -2*w + 244, 3*g + 34 = 4*w. What is the remainder when 3217 is divided by w?
1
Suppose 3*j = 43 + 26. Let w(u) = u**3 + 8*u**2 - 2*u - 3. Let m be 32/(-6)*(-6)/(-4). Calculate the remainder when j is divided by w(m).
10
Suppose 139 + 18 + 437 = 33*i. Calculate the remainder when -1 - (344/(-2))/2 is divided by i.
13
Let p = -103 + 106. Let b = 12 - 7. What is the remainder when b is divided by (p - 4/16) + (-6)/(-24)?
2
Let i be 4939/88 + ((-15)/(-8) - 2). Suppose -i = -0*l - 14*l. What is the remainder when 10 is divided by l?
2
Let y(k) = k**2 + 3*k + 7. Calculate the remainder when (-16)/(-42)*44763/86 + (-86)/301 is divided by y(-5).
11
Let d(v) = v**3 + 6*v**2 + 2. Let p be d(-6). Suppose -5*g = 2*t - 22, 7 = -13*t + 12*t + 2*g. What is the remainder when 231 is divided by -18 + 33 - p*t?
10
Suppose 30 = 5*c + 5. Suppose 4*p - c*l = -0*p + 10, 2*l = -4. Suppose -4*y + 55 + 12 = 3*t, -5*y + 5*t + 75 = p. What is the remainder when 44 is divided by y?
12
Let c(w) = 55*w - 106. Let p be c(2). Let u(i) = 2*i**2 - 22*i + 83. Suppose -18 + 3 = -3*j. Calculate the remainder when u(p) is divided by j.
2
Suppose -4*w - 5*a = 107, 61 = -3*w + 2*a - 25. Let v = w - -32. What is the remainder when 6 is divided by v?
2
Suppose -20*i + 11999 + 1461 = 0. What is the remainder when i is di