. Calculate the remainder when j is divided by w.
23
Let i = 607 - 373. Suppose -6*f + 159 = -3*f - 4*y, 4*f - i = -2*y. What is the remainder when f is divided by 3?
0
Suppose 42*x = 44*x - 156. Suppose -2*s + 78 = -s - 3*p, s = -5*p + x. What is the remainder when s is divided by 43?
35
Suppose -3*u + 129 = -0*u. Suppose 7*i - 5*i - 74 = 0. Let n = 48 - i. What is the remainder when u is divided by n?
10
Let j = -2928 - -2950. Calculate the remainder when 633 is divided by j.
17
Suppose 273*g - 5096 = 109*g + 112*g. Let j(b) = 3 - 3 - 2 - 11*b. What is the remainder when g is divided by j(-2)?
18
Suppose 100*c - 9870 = 6*c + 6768. Calculate the remainder when 635 is divided by c.
104
Let u be 9*(-7)/(-18)*(-4)/(-7). Suppose -j + 12 = -u*c - 16, 3*c = 0. Calculate the remainder when 123 is divided by j.
11
Let z = 323 + -300. Suppose -363 = -z*l + 258. Calculate the remainder when 133 is divided by l.
25
Let a be (-1)/((-2)/6) - (-5 + 6). Let s be (-16 - a)/(-3) - -4. Let b = 26 + s. Calculate the remainder when b is divided by 10.
6
What is the remainder when (-1)/(-7) + (-5945)/(-35) + -11 is divided by 21?
12
Let t = -226903 - -226915. Let a = -4 - -2. What is the remainder when (-2)/(0 - a/(-32)) is divided by t?
8
Suppose k = 4*k - 138. Suppose 4*w + 479 = -3*c, 4*w - c + 0*c + 491 = 0. Let u = -110 - w. What is the remainder when k is divided by u?
10
Suppose -41 + 3 = -2*p - k, -5*p + 4*k = -69. Suppose 0 = -p*s + 25*s - 48. Calculate the remainder when 14 is divided by s.
2
Suppose -9411*z + 9433*z = 12408. What is the remainder when z is divided by 116?
100
Suppose 0 = 27646*g - 27634*g - 2268. What is the remainder when g is divided by 175?
14
Let q = 19141 + -19137. Calculate the remainder when 974 is divided by q.
2
Let i = 2688 - 2646. What is the remainder when 1103 is divided by i?
11
Let z be (-84)/(-8)*(6 - -2). Let s = z - 79. Calculate the remainder when 28 is divided by s.
3
Let z = 20 - -53. Let o = z + -64. Suppose -h - 2*c + 8 = -4, -h + o = 5*c. What is the remainder when 69 is divided by h?
13
Let h(f) = f**2 - 4*f + 1. Suppose -2*b = -3*b + 4, -3*u + b + 11 = 0. What is the remainder when (1419/688)/(15/240) is divided by h(u)?
3
Let c(o) = -18*o - 53. Let h(w) = 7*w - 62. Let d be h(8). What is the remainder when c(d) is divided by 16?
7
Let x(s) = s + 4. Let i be x(10). Let h = i + -7. Suppose -863 = -h*a + 96. What is the remainder when a is divided by 35?
32
Let l(n) = 4*n. Let m(x) = -3*x - 4. Let f be m(-4). Let t(v) = 33*v + 1348. Calculate the remainder when t(-38) is divided by l(f).
30
Suppose 0 = 4*s - 52 + 8. Let m be 2/(-4) + (6 - 21/14). Suppose m*o - 11 - 17 = -2*j, 25 = 5*j + o. What is the remainder when s is divided by j?
3
Let m(a) = -a - 9. Let f be m(-15). Let v(l) = 2*l**3 - 9*l**2 - 18*l + 15. Let i = -15 + 22. What is the remainder when v(f) is divided by i?
1
What is the remainder when 411 is divided by (-97172)/(-408) - 2/(-2 + 14)?
173
Suppose -4*j + 3 = -t - 6*j, -4*t + 5*j + 40 = 0. Suppose 19*k - 16*k - 52 = -2*n, -t*k + 3*n = -55. What is the remainder when k is divided by 7?
0
Let b = -4090 + 4262. What is the remainder when b is divided by 46?
34
Let r(f) be the first derivative of 2*f**3/3 + 3*f**2 + 4*f + 157. Calculate the remainder when 95 is divided by r(0).
3
Suppose 65*k = 363*k - 35462. Calculate the remainder when 12851 is divided by k.
118
Let i = 21 + -384. Let t = 372 + i. What is the remainder when t is divided by 4?
1
Let z(m) = -m**3 + 13*m**2 - 11*m - 1. Let d = -65 + 77. Calculate the remainder when 157 is divided by z(d).
3
Let p be -3 + (-32 - 0) - 3. Let i = -15 - p. What is the remainder when (12 + -22 + 11)/(-3*(-1)/342) is divided by i?
22
Suppose 3*t = 3*k + 123, -98 = -5*t + 3*k + 105. What is the remainder when 1954 is divided by t?
34
Suppose 3669 = 16*v + 3109. Let r(u) = 5*u**2 + 4*u + 1. Calculate the remainder when r(4) is divided by v.
27
Suppose -43*o + 54404 = 28*o - 4*o. Calculate the remainder when o is divided by 404.
4
Let l(y) = -4*y**3 + 24*y**2 + 15*y - 12. What is the remainder when 318 is divided by l(6)?
6
Let m be ((-125)/(-100))/(1/36). Suppose 25 = 2*l - m. Calculate the remainder when l is divided by 6.
5
Suppose -2*v + 4370 = 10*c + 2*v, 5*c = -5*v + 2200. Calculate the remainder when c is divided by 112.
99
Suppose -6*p = 3*p - 36. Suppose 0 = p*h + 15*h - 114. What is the remainder when 81 is divided by h?
3
What is the remainder when 9 is divided by 24*((210/(-216))/(-35) - 2/(-9))?
3
Let t(h) = -3*h**3 + 247*h**2 - 82*h + 8. What is the remainder when 176 is divided by t(82)?
0
Suppose 2*y + c = 19, 0 = y + 51*c - 46*c - 5. Calculate the remainder when 147 is divided by y.
7
Let g = -75 - -27. What is the remainder when (-1232)/(-10) - (g/60)/(-4) is divided by 42?
39
Let k(q) be the first derivative of -q**4/4 + 2*q**3 + q**2/2 + 3*q + 5. What is the remainder when ((-18)/12)/(-5 + 4881/978) is divided by k(5)?
31
Suppose -34*n + 38*n = 372. Suppose n - 90 = -w. What is the remainder when 3 is divided by (w/6)/(2/(-4))?
0
Suppose 189*c - 1844 - 7151 = -301. What is the remainder when 3401 is divided by c?
43
Let w = 8 - 7. Let q be 1/(w - (-3)/(-6)). Suppose 0 = -q*g - 5*g + 35. Calculate the remainder when g is divided by 3.
2
Let r(n) = -4*n**2 + 529*n - 52. Suppose 0 = -5*c + u + 65, -9*c + 4*c + 5*u = -85. What is the remainder when r(132) is divided by c?
8
Let q = 16 + 36. Suppose -4*r + 5*g = -815, 3*g - 2*g - 597 = -3*r. What is the remainder when r is divided by q?
44
Suppose 2*y - 172 = 4*b, 64 - 357 = -3*y - b. What is the remainder when y is divided by (-50485)/(-1955) + 27/153?
18
What is the remainder when 260/13*(-84)/(-60) is divided by (-23)/(-92) + (-39)/(-4)?
8
Suppose -18 = 3*j, 1743*j + 774 = 3*q + 1739*j. Suppose 5*l - 4*l + 187 = 3*g, -4*l = 2*g - 134. What is the remainder when q is divided by g?
61
Let t be -1 + 2 + 0 + -1. Suppose t = 2*o - 4*o + 188. Suppose -182*h - 78*h + 14784 = 202*h. Calculate the remainder when o is divided by h.
30
What is the remainder when 1335 is divided by -93 + 151 + 42/(-2)?
3
Suppose 140 = 4*p - 0*p. Suppose o + 4*h - p = 0, 15 = -0*h + 3*h. Suppose 3*t - 66 = o. What is the remainder when 80 is divided by t?
26
Suppose 35*m - 5423 = 24*m. Let v = m - 448. What is the remainder when 86 is divided by v?
41
Let w = -3380 + 3410. Calculate the remainder when w is divided by 20.
10
Let o = 2314 + -2238. Let q = -5 + 49. What is the remainder when o is divided by q?
32
Let k(v) = -3*v + 22. Let f be k(6). Suppose f*a = 3*a + 69. Calculate the remainder when 758 is divided by a.
68
Suppose -8*m + 11*m + 2*t - 55 = 0, 4*t - 50 = -2*m. What is the remainder when 566 is divided by m?
11
Let i = 26288 - 26258. Suppose -2*n - n = -33. What is the remainder when i is divided by n?
8
Let b = -5 + -4. Let t(z) = -41*z. What is the remainder when (((-2928)/b)/4)/(6/9) is divided by t(-1)?
40
Suppose 5*j + 144 = 6*b, -88 = -1424*b + 1420*b + 2*j. Let r = -271 - -384. Calculate the remainder when r is divided by b.
18
Suppose -2*y + 632 = -2*w, 5*y + 4*w - 161 - 1419 = 0. Let k = y + -312. What is the remainder when 12 is divided by k?
0
Let i(m) = 2*m**3 + 28*m**2 + 6*m - 8. Let w be i(-14). What is the remainder when (-19772)/w + (-8)/(-92) is divided by 11?
6
Calculate the remainder when 25 is divided by -20*2/((-60)/18).
1
Suppose 4*g + c = 7, g + c = 2*c - 2. Let k(t) = 4*t + 2. Let s(j) = -j. Let i(d) = g*k(d) - 5*s(d). What is the remainder when 91 is divided by i(5)?
44
Let s(v) = v**3 + 25*v**2 + 12*v - 241. Calculate the remainder when s(-23) is divided by 51.
31
Let q = 273 - 259. Let w(p) = 20*p**2 + 6*p + 1. Calculate the remainder when w(-2) is divided by q.
13
Let w(q) be the first derivative of -q**3/3 + 4*q**2 + 2*q - 51. What is the remainder when 64 is divided by w(6)?
8
Suppose 2 - 47 = -4*h + u, 4*h - 5*u - 33 = 0. Let t(y) = 8*y - y**2 + 0*y + 3*y + 33. What is the remainder when 77 is divided by t(h)?
14
Suppose -4*c - 415 = l - 3*c, 0 = 4*c - 4. Let r = 425 + l. Calculate the remainder when r is divided by 5.
4
Let h(n) = n**2 - 28*n + 57. Let z be h(26). Suppose 4*s - z*o - 73 = 0, 3*o + 9 = 4*s - 70. Calculate the remainder when 27 is divided by s.
5
Let g be 1