 by 14.
9
Suppose 3*r + 0*b = -4*b + 139, 96 = 2*r + 2*b. Suppose -488*f = -502*f + 2142. Calculate the remainder when f is divided by r.
47
Let u be (4/3*-6)/(-1). Suppose -5*n + 0*f + 188 = f, 4*f = -u. Let t = n + -23. Calculate the remainder when 27 is divided by t.
12
Let m(t) = 267*t + 3366. Calculate the remainder when m(-7) is divided by 490.
27
Let k = -144008 + 144035. Calculate the remainder when (-45)/(-6)*(-104)/(-6) is divided by k.
22
Suppose 14418*q = 14410*q + 1240. What is the remainder when q is divided by 89?
66
Suppose -18*u + 0*u + 101052 = 10*u. What is the remainder when u is divided by 42?
39
Suppose -4*x + 116 = -4*d, x + 4*d = -2*x + 52. Suppose 4*w + x = 164. What is the remainder when 103 is divided by w?
33
Let w(p) = p**3 - 14*p**2 + 56*p - 1. Suppose -2*g + 2*x = -14, 0 = g + 2*x - 7*x - 3. Calculate the remainder when w(g) is divided by 39.
24
Let x = 27 + -15. Suppose 3*o + 32 = 2*w, 0*o + 3*o + x = 0. Let v = -1917 - -2066. Calculate the remainder when v is divided by w.
9
Let v(s) = -23*s - 12. Let q be v(-1). Suppose -q*p + 1024 = -3*p. What is the remainder when p is divided by 26?
24
Suppose 0 = 5*w - 28*w + 69. Suppose 3*s = -w, -24*s = 3*k - 26*s - 62. Calculate the remainder when 78 is divided by k.
18
Let x = 6360 - 5885. Calculate the remainder when x is divided by 14.
13
Suppose -f = 12, 0 = -23*r + 19*r + 4*f + 168. What is the remainder when -1 + -1 - (-2 - 478) is divided by r?
28
Suppose -5997 + 55935 = -31*i + 89*i. Calculate the remainder when 1726 is divided by i.
4
Let n = 34 + -52. Let i(l) = l**2 + 18*l + 7. Let g be i(n). Suppose 2*y - 15 = -g. What is the remainder when 13 is divided by y?
1
Let g = 28 + -35. Let d be (10/g)/5 + (-466)/(-14). Let c = 46 - d. Calculate the remainder when 61 is divided by c.
9
Suppose 192 = 39*g - 33*g. Let s(f) = 4*f - 2. Calculate the remainder when g*(-5)/(-2) + 6 is divided by s(6).
20
Suppose 30 = 2*h - 76*c + 77*c, -45 = -3*h + 5*c. Calculate the remainder when 1298 is divided by h.
8
Suppose -122*l + 167*l - 5355 = 0. Calculate the remainder when 354 is divided by l.
116
Let i = -1497 - -1532. Let w = 47 + 1. Calculate the remainder when w is divided by i.
13
Suppose 8*s - 370 - 158 = 0. Suppose -37*n + 38 = -35*n. Calculate the remainder when s is divided by n.
9
Let t(a) = -a**2 - 2*a + 7. Let v(o) = 6*o + 60. Let d be v(-10). Let u be t(d). Suppose -u*p - 205 = -12*p. Calculate the remainder when p is divided by 26.
15
Let y = -67 - -61. Let s(p) = -3*p**2 + 7*p + 1. Let z be s(6). Let b = y - z. Calculate the remainder when b is divided by 20.
19
Suppose -97*z + 3819 = -6172. What is the remainder when 924 is divided by z?
100
Let j = 13011 + -12894. Calculate the remainder when 619 is divided by j.
34
Let k(v) = 2*v**2 - 2*v - 11. Suppose 0 = h - 5*y + 84, -4*y - 12 = 4. Let t = 108 + h. Calculate the remainder when 153 is divided by k(t).
10
Let n = -11 - -6. Let w(c) = -c**2 - 8*c - 1. Calculate the remainder when (-16218)/(-646) + (-4)/38 - -14 is divided by w(n).
11
Suppose 24*u = 28*u + 2*n - 284, 4*u - 4*n = 284. Let k(o) = -o**3 + 10*o**2 + 15*o - 11. What is the remainder when u is divided by k(11)?
5
Suppose 0 = 399*b - 19715 + 7346. Let v(h) = h**2 - 6*h - 7. Let m be v(5). Calculate the remainder when (363/m)/(1/(-4)) is divided by b.
28
Suppose -370 = 23*z - 18*z. Let m(o) = o**3 + 8*o**2 - 11*o - 7. What is the remainder when (z/(-10)*-2)/(8/(-40)) is divided by m(-9)?
8
Let q be 2/(-15) + (-224)/(-105) + 8. Suppose -2*j = q, 4*j + 8 + 7 = -r. Suppose -r*b - 3*b + 88 = 0. What is the remainder when 97 is divided by b?
9
Let i = 4228 + -4152. What is the remainder when i is divided by 26?
24
Suppose 14*w + 11 = 228 + 133. Suppose -2*g - 14 = -90. Suppose 5*q - g = -3*j, j + 3*j = 4. What is the remainder when w is divided by q?
4
Let w(x) = -x**2 + 11*x - 18. Let r be w(9). Let v(c) = c - 5 + 4*c + 11*c**2 - 4*c + r*c**2 - c**3. Calculate the remainder when v(10) is divided by 27.
24
What is the remainder when -1*108/63*-581 is divided by 498?
0
Let t(k) = 39*k**3 - 3*k**2 + 9*k - 3. Let f be t(2). Suppose -f*i = -305*i - 180. Calculate the remainder when 354 is divided by i.
12
Suppose 5*v = 5*g + 68 + 22, 9 = -3*g. Suppose -10*w + v*w = 575. Calculate the remainder when w is divided by 15.
10
Suppose 3090 = 170*z - 3200. Let d(j) = 29*j - 4. What is the remainder when d(5) is divided by z?
30
Calculate the remainder when 208112/56 + (-42)/147 is divided by 63.
62
Let l = 76 - 74. Suppose l*k - 5*p - 144 = -2*k, 3*k - p = 97. Let d(i) = 4*i - 12. Calculate the remainder when k is divided by d(6).
7
Let j(h) = 104*h + 322. What is the remainder when 543 is divided by j(-3)?
3
Let p = -415 + 417. Suppose 5*j + 3*u = 6*j - 408, -4*j + p*u = -1662. Calculate the remainder when j is divided by 14.
11
Let x = 3327 + -3204. Calculate the remainder when x is divided by 54.
15
Let m = -7222 - -7266. Calculate the remainder when 2416 is divided by m.
40
Let j(o) = -2*o**2 + 50*o + 14. What is the remainder when j(24) is divided by ((-6)/(-2))/((-15)/(-65))?
10
Calculate the remainder when 251 is divided by (15600/(-2184))/((-1)/14).
51
Let g(b) = 2*b**3 - 12*b**2 - 12*b + 2. Let n be g(8). Let i = n - 35. Calculate the remainder when i is divided by 12.
7
Let p(r) = 2*r**3 + 6*r**2 + 7*r - 14. Let n(f) = f**3 + 5*f**2 + 7*f - 15. Let q(v) = -3*n(v) + 2*p(v). Calculate the remainder when q(6) is divided by 30.
23
Let w = -12 - -6. Let c be -1*4*(w + 315/20). Let j = -27 - c. Calculate the remainder when 83 is divided by j.
11
Suppose u = 5*d + 14, 2 = 2*u - 0*d + 3*d. Let k be (6 - 14)*u/(-2). Suppose -k*z + 18*z - 212 = 0. Calculate the remainder when z is divided by 18.
16
Suppose -2*f + 6*f - 5*h = 80, 66 = 2*f + 4*h. Suppose 0 = 23*k - f*k + 22. What is the remainder when 195 is divided by k?
8
Let k = -112 - -122. What is the remainder when -4 - 226/(-6) - k/15 is divided by 7?
5
Let q(z) = -8*z - 17. Let y(a) = -9*a - 18. Let u(b) = -5*q(b) + 6*y(b). Suppose 5*o - 7*o + 46 = 0. Calculate the remainder when u(-6) is divided by o.
15
Let w = 4038 + -3141. What is the remainder when w is divided by 25?
22
Let j = -14 - -51. Let k = 297 - 280. Suppose 26 = 19*t - k*t. Calculate the remainder when j is divided by t.
11
Let w(l) = 2*l**3 - 173*l**2 - 1210*l + 110. Suppose -i = -4*i + 246. What is the remainder when i is divided by w(93)?
14
Suppose 0 = 9*q + 124 - 592. Suppose j + j - q = 0. What is the remainder when 205 is divided by j?
23
Suppose 0*k = -16*k + 8528. What is the remainder when k is divided by 270?
263
Let l = 48 + -10. Let q = -6989 - -7005. Calculate the remainder when l is divided by q.
6
Let u = 382 - 222. Suppose c - u = -b - 4*c, 2*b + 4*c - 302 = 0. Calculate the remainder when b is divided by 49.
47
Let u(o) = -o**3 + 11*o**2 + 16*o - 3. Suppose 0 = -2*x + 74 + 14. What is the remainder when u(11) is divided by x?
41
Suppose -7*q = 5*t - 2205, -513*q + 514*q - 315 = -3*t. Suppose 0*f + 60 = 3*f. Calculate the remainder when q is divided by f.
15
Let f(o) = -o**3 + 35*o**2 - 31*o - 102. Let w be f(34). Suppose w = -9*a + 12*a - 21. Calculate the remainder when 236 is divided by a.
5
Let c be -3*(-70)/63*(-4 - -1). Let l(f) = -f**3 - 11*f**2 - 22*f + 2. Let s be l(c). Calculate the remainder when (0 + 1)/(3 + s/(-41)) is divided by 23.
18
Let c be (-7)/2*12/(-14). Suppose -c*y + 897 = -3*j, -2*y + 346 = -j - 249. Let b(m) = m**3 - 6*m**2 - 2*m - 8. What is the remainder when y is divided by b(7)?
26
Let v(k) = 5*k**2 + 12*k - 136. Let a be v(15). Suppose -a = -15*g + 376. Calculate the remainder when g is divided by (-20)/8*(-5 - 1).
13
Let c = 74 - 28. Let w(o) = -o**3 - 3*o**2 - o - 1. Let f be w(-4). Suppose 2*q - f = 13. What is the remainder when c is divided by q?
14
Suppose 5*v + 5 + 10 = 0. Let q be 155 - v*(0 + (-1)/1). Suppose -6*s + 2*s = -q. Calculate the remainder when 111 is divided by s.
35
Let f(l) = -2*l**3 - 49*l**2 - 215*l + 28. Calculate the remainder when f(-20) is divided by 143.
13
Suppose 34210 = 40*y - 26590. What is the remainder when y is divided by 127?
123
Let b = 1 + 2. Calculate the remainder when b is divided by (4 + -1)/(-76 + (-7595)/(-98)).
1
Let q(w) = -5*w - w + w**2 - 5*w + 9*