ppose -811*f + 783*f + 1327 = 347. Calculate the remainder when 5542 is divided by f.
12
Suppose i + i - 4*k = 124, -4*k = 2*i - 116. Let s = 69 - i. Suppose -84 = -3*g + 3*m + 27, 3*m = -s. Calculate the remainder when 133 is divided by g.
31
Let j = 10255 - 10099. Calculate the remainder when 782 is divided by j.
2
Suppose 61 = f + 5*q, -3*f - 17*q + 99 = -16*q. What is the remainder when 3034 is divided by f?
27
Suppose -3*q + 6*q - 531 = 0. Let o = q - 146. What is the remainder when 277 is divided by o?
29
Suppose 7*o - 16*o + 4140 = 0. Let z = o + -143. Calculate the remainder when z is divided by 16.
13
Suppose 2*q - 68 = z, -12*q = -9*q + 4*z - 113. What is the remainder when 121 is divided by q?
16
Let x = -93 - 51. Let l = -129 - x. Suppose 5*r - 354 = -99. What is the remainder when r is divided by l?
6
Let n(q) = 31*q**3 + q**2 - q. Let v(w) = w - 10. Let y be v(11). Let g = 3181 - 3173. Calculate the remainder when n(y) is divided by g.
7
Suppose 0*y + 2*y = i - 10, -28 = -4*i + 5*y. Suppose -4*r = -i*j + 6*j - 68, 2*r + 5*j = 25. Let t = 45 + -7. Calculate the remainder when t is divided by r.
18
Let c(a) = a**3 - 59*a**2 - 20*a + 621. What is the remainder when c(60) is divided by 18?
15
Let z be (-8 - (2 + -6)) + 10. Suppose 0 = 3*l - j - 102, 7*j = -4*l + z*j + 129. Let g = 259 + -128. Calculate the remainder when g is divided by l.
32
Suppose 3*l + 3*i - 774 = i, -2*l = -3*i - 516. Suppose 0 = 7*p - 3*p + 5*v - 347, l = 3*p + 3*v. Calculate the remainder when p is divided by 45.
38
Let y be (-264)/42 - -6 - 74/(-14). Suppose 0 = -s + 4*h + 161, -311 = -y*s - 5*h + 544. What is the remainder when s is divided by 19?
17
Let t(v) = -37*v - 105. Let f be t(-3). Suppose -2*r = 3*i - 68, -f*i - 5*r = -7*i. What is the remainder when 537/7 - (-2)/7 is divided by i?
17
Suppose 161 - 8236 = -85*q. What is the remainder when q is divided by 32?
31
What is the remainder when 1113 is divided by (-5612)/(-549)*(9 + 0)?
9
Suppose 822 = 5*w + u, -2*u = -475*w + 478*w - 489. What is the remainder when w is divided by 46?
27
Let m(j) = -47*j**2 - 247*j + 2. Suppose -5*k = -4*r + r - 115, 4*k - 92 = -4*r. Let t = 39 - k. Calculate the remainder when m(-5) is divided by t.
14
Suppose 616*y - 350*y - 2660 = 0. Calculate the remainder when (0 - 0 - -107) + 1 is divided by y.
8
Let h(t) = t - 3. Let l be 5/((-15)/2)*27/(-2). Let i be h(l). Suppose m - i = j, -4*m + 4 = -2*j - 16. What is the remainder when 17 is divided by m?
1
Suppose 0 = -4*b - z - 18 + 13, 2*b - 5*z = 25. Suppose b = -7*x + 941 + 172. Calculate the remainder when x is divided by 10.
9
Suppose 15*k = 4*k + 439981 + 62653. What is the remainder when k is divided by 17?
15
Suppose 0 = -33*g + 13*g - 120. Let d(l) = 2*l**3 + 14*l**2 + 5*l - 7. What is the remainder when d(g) is divided by 6?
5
Let g = -367 + 442. Suppose 4*b + 5*q - 131 = 0, -5*q + g = 5*b - 85. Let u(y) = -y**2 - y + 11. Calculate the remainder when b is divided by u(0).
7
Suppose 4*f - 22781 = -i - 2906, 14910 = 3*f - 3*i. What is the remainder when f is divided by 70?
69
Let m be 1/(6/8*12/(-54)). Let q(y) = y**2 + 17*y + 89. What is the remainder when q(m) is divided by 15?
8
Calculate the remainder when (-181)/((-8)/(79 - -9)) is divided by 6.
5
Let m(r) = 16721 + 0*r + r - 16657. What is the remainder when 115 + ((-2)/2 - -2) is divided by m(-24)?
36
Suppose 6*r - 266 - 11908 = 0. Suppose 1139 = -10*m + r. Let b = -15 + 46. Calculate the remainder when m is divided by b.
27
Let v = 78 + -171. Suppose 0 = b + l - 9, -16 = 3*l - 4. What is the remainder when 0 - (-6)/8 - v/4 is divided by b?
11
Let v = -7825 - -7836. What is the remainder when 14199 is divided by v?
9
Suppose i + u - 73 = 0, -3*i - 3*u = 2*u - 227. What is the remainder when 31 is divided by (3 - i)*(-1)/6?
9
Let z = -48 - 24. What is the remainder when 53 is divided by (-6)/z*-4*-57?
15
Suppose 4054 = 12*v + 778. What is the remainder when 103 is divided by (-2)/(7/v*-6)?
12
Suppose 4 = 5*u - 21. Suppose -j - 5*i = -168, -u*j - i = i - 725. Suppose -3*n - 3*a + j = a, 3*n - 118 = a. What is the remainder when n is divided by 14?
13
Let w(l) = l**3 - 6*l**2 + 5. Let x be 7/(-2)*15/35*-4. Let o be w(x). Suppose -j - 100 = -o*j. Calculate the remainder when 147 is divided by j.
22
Let y = 452 + -320. What is the remainder when 251 is divided by (-4)/(-6) + 9152/y?
41
Let c(x) = -x**2 - 7*x + 12. Let s be c(-8). Let g be -1 - (s - (0 + -1)). What is the remainder when 15 is divided by -12*(-3 + (-15)/g)?
3
Let n be 4 + -3 + 0 + 2. Suppose -m - 3*m = -n*p + 91, -2*p = m - 68. Suppose -3 = s - p. Calculate the remainder when 115 is divided by s.
25
Suppose 5*w - 114*f + 109*f = -2260, -2*f - 884 = 2*w. Let h = -440 - w. What is the remainder when 52 is divided by h?
3
Let d = 28 + 2. Let s(k) = -1753*k - 8756. Calculate the remainder when d is divided by s(-5).
3
Suppose -3*x + 6 = -m, 4*x - 26 + 6 = 0. Suppose -2*h + 2*d = -218, 4*h - m*d - 435 = -6*d. Calculate the remainder when h is divided by 4.
0
What is the remainder when (-1)/(2/20) + 407880/103 is divided by 1966?
18
Let k be 5*(4074/10)/(-7). Let f = k - -192. Let b = 121 + f. Calculate the remainder when 41 is divided by b.
19
Suppose 5 = -6*b - 19. Let v be (-6)/(-24) + (-15)/b. Suppose p + 41 = 5*u, -3*u - 5*p + 23 - v = 0. What is the remainder when 30 is divided by u?
6
Suppose 0 = 18*f - 134 + 2780. Let v = 160 + f. What is the remainder when 34 is divided by v?
8
Let p(i) = -i**3 + 6*i - 4. Let x = 254590 + -254570. Calculate the remainder when p(-5) is divided by x.
11
Calculate the remainder when -108 - -102 - 3534/(1 - 3) is divided by 63.
60
Let y(a) = -a**3 + 9*a**2 - 19*a + 9. Let k be y(6). Suppose -w = -3*j - 6*w + 65, k*j - 2*w = 58. Calculate the remainder when 91 is divided by j.
11
Let x = -83 + 85. Let n(a) = 20*a**2 - 7*a + 4. What is the remainder when n(x) is divided by 4?
2
Suppose -3*v = -2*y + 667, 47*y = 46*y - 13*v + 435. What is the remainder when 3789 is divided by y?
5
Suppose 0*q - 48 = -3*q. Suppose -49*v + 63*v - 9366 = 0. Let g = -639 + v. Calculate the remainder when g is divided by q.
14
Let j(s) = 674*s + 1375. What is the remainder when 2223 is divided by j(-2)?
9
Let v = 20 - -33. Calculate the remainder when v is divided by 17 + 4/(-34) + 16348/(-2074) + 9.
17
Let w = 48 + -59. Let v be (-30)/(-2)*w/(-33). Suppose 5*h - 3*t - 153 - 97 = 0, -250 = -v*h - 4*t. What is the remainder when h is divided by 27?
23
Let c(d) = -2*d**2 + 49*d - 264. Let a(j) = j**3 + 10*j**2 + 4*j + 8. Calculate the remainder when a(-7) is divided by c(10).
23
Let k(f) = -143*f + 7. Let r be k(2). Let a = r + 311. Calculate the remainder when 48 is divided by a.
16
Suppose 3*g = 4*g - 5*k - 2711, -2*g + 5359 = -k. What is the remainder when g is divided by 57?
54
Suppose -155*o + 10482 + 27648 = 0. Calculate the remainder when o is divided by 102.
42
Let p be ((-1120)/21 + 0)*(-23 + -1). Suppose 3*k - p = -13*k. Calculate the remainder when k is divided by 9.
8
Suppose 172*a + 19 - 7682 = -1299. What is the remainder when a is divided by 19?
18
What is the remainder when (5 - (-24)/(-6))*203 is divided by 12?
11
Suppose 0 = -8*b + 7*b - 804. What is the remainder when 5 + b/(36/(-6)) is divided by 13?
9
Suppose -6*k = -15 + 33. Let i(t) = t**3 + 10*t**2 + 2*t - 9. What is the remainder when i(-7) is divided by k/(-8) + (-197)/(-8)?
24
Let g(x) = -x**3 + 21*x**2 - 28*x + 17. Let u be g(19). Suppose -3*l - 3*m + 90 = -2*l, -2*l + 3*m + u = 0. What is the remainder when l is divided by 51?
48
Calculate the remainder when 4400 is divided by 1701/84 + (-39)/(-52).
11
Let f(j) = -2*j**3 + 128*j**2 + 136*j - 317. Calculate the remainder when 534 is divided by f(65).
23
Suppose 1334*x - 16 = 1338*x, 0 = m + 3*x - 3334. Calculate the remainder when m is divided by 93.
91
Suppose 0 = -2*c + 123 + 67. Suppose -37 - 67 = -4*u. Suppose 0 = 3*y - 2*p - 57 - 19, p + u = y. Calculate the remainder when c is divided by y.
23
Suppose 7 = 4*n - 9. Let c(k) = k - 7. Let r be c(8). Suppose o - 24 = -u, -14 - r = -5*u. Calculate the remainder when o is divided by n.
1
Let j = 281 - 195. Let k(z) = -z**3 + 30*z**2 + 133*z - 3960. What is the remainder when j is divided by k(30)?
26
Calculate t