en (-3 + 48)*1/u is divided by 24.
21
Suppose 0 = 2*f + 4*i - 116, i - 197 = -5*f + 129. What is the remainder when 984 is divided by f?
60
Let s = -7272 + 7281. Let x(l) be the first derivative of l**3 - 25*l**2/2 + 6*l + 1. What is the remainder when 108 is divided by x(s)?
12
Let c = 5 + 1. Let m(i) = i**3 + 50*i**2 - 54*i - 169. Let q be m(-51). Let k(h) = -13*h - 145. Calculate the remainder when k(q) is divided by c.
3
Suppose 0 = -w - 4*w + 230. Let j = 3925 - 3908. Calculate the remainder when w is divided by j.
12
Suppose 0*n - 118 = -2*x - 4*n, 174 = 3*x + 5*n. Let h(w) = 4*w + 91. Calculate the remainder when x is divided by h(-20).
9
Let p = 105 - 104. Let k be (11 - 10) + p*4. Suppose k*u = -9 + 129. Calculate the remainder when 87 is divided by u.
15
Let w(z) = -2*z**2 + 215*z - 72. What is the remainder when w(40) is divided by 172?
168
Let z(m) = 3*m - 6. Let v(f) = f**2 - 4*f + 6. Let t be v(4). What is the remainder when 466 is divided by z(t)?
10
Let a = 1907 + -1288. Calculate the remainder when a is divided by 212.
195
Let a(g) = 4*g**2 + 4*g - 4. Let k be a(-2). Suppose s + k*z + 8 = 0, -27 = -5*s - z + 28. What is the remainder when 92 + (1 - 0 - 0) is divided by s?
9
Suppose -5*u + 68 = -c, -49*u + 53*u - 49 = -c. What is the remainder when 1920 is divided by u?
9
Suppose -66*r + 5995 = 319. What is the remainder when r is divided by -1*((-31 - -2) + -3)?
22
Suppose 5*u = 343*d - 342*d - 179, -u + 347 = 2*d. What is the remainder when 1051 is divided by d?
7
Let r(t) = 3*t - 72. Let g be r(27). Suppose -5*j = -g*j + 1284. What is the remainder when j is divided by 54?
51
Let k(v) = v**3 + 10*v**2 - v - 94. What is the remainder when 229 is divided by k(-7)?
49
Suppose l = -3*i - 60, 3*l + 180 = -i - 2*i. Let q = l + 91. Let u = q - 13. Calculate the remainder when 35 is divided by u.
17
Suppose 40*h - 135 = -5*h. Calculate the remainder when 71 is divided by h.
2
Let i(z) = -4*z**3 + 20*z**2 + 151*z + 2. Calculate the remainder when 624 is divided by i(-5).
130
Suppose 4*n + 149*w - 150*w - 68 = 0, -72 = -4*n + 2*w. Calculate the remainder when 696 is divided by n.
8
What is the remainder when (-20327)/(-5) + (-246)/615 is divided by 49?
47
Suppose -9*m + 7*m + 232 = 0. Suppose -m = -v - v. Suppose -5*o - 4*h + 101 = 0, 4*h + v = 5*o - 11. What is the remainder when o is divided by 4?
1
Let f(s) = -4*s**2 + 70*s + 735. What is the remainder when 1329 is divided by f(24)?
108
Suppose -5*q = 2*p - 6*p + 23, -p + 5*q = 13. Suppose -p*d + 25*d = 1053. Calculate the remainder when d is divided by 22.
15
Calculate the remainder when ((-3)/(-21))/((-28)/(-49))*42184 is divided by 12.
10
Let y = -2179 - -1447. Calculate the remainder when ((y/3)/(-4))/((-4)/(-12)) is divided by 31.
28
Suppose 6*w - 35 = 79. Let u = 14 + -4. Calculate the remainder when w is divided by u.
9
Let v(w) = 13*w**2 + 28*w - 10. Let x(z) = -17*z**2 - 29*z + 9. Let c(q) = 3*v(q) + 2*x(q). Calculate the remainder when 18 is divided by c(-6).
6
Let p = 52 - 21. Suppose -3*b - 3300 = -3*j, j - 4420 = 4*b + 2*j. What is the remainder when b/(-9)*(-81)/(-54) is divided by p?
29
Let n = 15 + 195. Let o = -194 + n. What is the remainder when 48 is divided by o?
0
Let l(c) = -29*c - 443. Let x be l(-17). Suppose -z - 3*z = -2*o - x, -z + 13 = -o. Calculate the remainder when 344 is divided by z.
8
Suppose 299460 = 65*f + 369*f. Calculate the remainder when f is divided by 150.
90
Suppose 39*f = -82*f + 99704. What is the remainder when f is divided by 266?
26
Let r be -19 - (5 + -3) - -5. Let s be 38/9 - (r/9 + 2). What is the remainder when s/(-18) + ((-1588)/(-18) - -2) is divided by 24?
18
Calculate the remainder when 3*(3 + -5)*(-1)/(-2)*-613 is divided by 20.
19
Let z(k) = -6*k + 615. What is the remainder when z(-9) is divided by 11?
9
Let k(l) = -l**3 + 10*l**2 - 13*l - 4. Let i be k(9). Let j = 78 + i. Let d = -15 + j. Calculate the remainder when 85 is divided by d.
16
Suppose 12*a - 3711 = -2895. What is the remainder when 1154 is divided by a?
66
Suppose 4*s = -z + 2444, -3*s = -5*z - 0*s + 12220. Suppose -76*u = -80*u + z. What is the remainder when u is divided by 17?
16
Suppose -32040 = 32*u + 32*u - 79*u. What is the remainder when u is divided by 19?
8
Suppose -55*p + 51*p = -116. Suppose 27 = b - 3*z, 0 = -4*b + 3*b + 4*z + p. What is the remainder when b is divided by 3?
0
Suppose 0 = 11*n - 16*n + 70. Let z = -16 + 47. Suppose 7*x + 3 - z = 0. What is the remainder when n is divided by x?
2
Let p(o) = o + 1. Let r(y) = 7*y + 49. Let v be r(-6). What is the remainder when 77 is divided by p(v)?
5
Let j be -2 + (-5)/(-20) + 322/(-8). Let x = 60 + j. Calculate the remainder when 106 is divided by x.
16
Let t = -204 + 253. Suppose -t*j - 1116 = -85*j. What is the remainder when 92 is divided by j?
30
Suppose 7214 = 28*n - 6310. Let c = 487 - n. Suppose -3*i + 34 = 5*x, -5*x = -5*i - 4*x + 10. Calculate the remainder when c is divided by i.
1
Suppose -6196*b + 2268 = -6184*b. Calculate the remainder when b is divided by 118.
71
Suppose 1880 = -0*y + 4*y. Suppose -5*q + y - 10 = 0. Let f = -11638 + 11670. What is the remainder when q is divided by f?
28
Suppose -1707 - 1698 = -138*z + 1839. Calculate the remainder when 163 is divided by z.
11
Let k(u) = 225*u + 118. Calculate the remainder when k(1) is divided by 80.
23
Suppose -67*d = 102*d - 11323. What is the remainder when 151 is divided by d?
17
Let v be 4*(-2)/(-3 + 1). Suppose 2*i - i = -5, v*i + 58 = -2*x. Let l = x - -26. What is the remainder when 25 is divided by l?
4
Suppose 0 = -5*d - 49 + 59. Calculate the remainder when (-140)/(-147)*99 - d/7 is divided by 48.
46
Let f(v) = -34*v + 47. Suppose 2*u - 1 = 5*x + 3, 3*x = -u + 2. Suppose -u*g - 7 = g - 4*n, 2*n = 8. What is the remainder when f(1) is divided by g?
1
Let x(d) = d**2 + 5*d + 28. Let m(y) = -2*y**2 - 7*y - 42. Let b(c) = -5*m(c) - 8*x(c). Calculate the remainder when 74 is divided by b(5).
8
Suppose 5*x + 2 = 3*y + 30, -2*x = -y - 11. Suppose 3*z = -2*f + 50, x*f = -z - 7 + 28. What is the remainder when 54 is divided by z?
6
Let f(m) = -2137*m + 6435. Let v(o) = 5*o. Let p(n) = -5*n. Let a(k) = -4*p(k) - 6*v(k). What is the remainder when f(3) is divided by a(-1)?
4
Suppose 6373 = 34*n + 1579. What is the remainder when n is divided by 42?
15
Suppose -2*i = -5*i - 6. Calculate the remainder when 141 is divided by (1/i)/(((-39)/1066)/3).
18
Let v = 15942 + -15885. What is the remainder when v is divided by (3 - -10) + (-3)/3?
9
Let r(u) = 36*u**2 - 41 + 5*u - 49*u**2 + 0*u + 2*u**3. What is the remainder when r(8) is divided by 24?
23
Calculate the remainder when (-31485)/6*(-308)/385 is divided by 1397.
7
Let v(i) = -1227*i + 4142. Calculate the remainder when 2345 is divided by v(3).
40
Let k(b) = 174*b - 1. Suppose -548*v + 12815 + 6365 = 0. Calculate the remainder when k(2) is divided by v.
32
Let h(o) = 5*o**2 - 13*o + 4. Let z be h(-6). Suppose z = -9*f + 55. What is the remainder when f*(-2)/(6/15*5) is divided by 4?
3
Suppose 2*w + 5*u - 376 = 393, 0 = 5*u - 25. What is the remainder when w is divided by 83?
40
Let s be (-18)/42 + (3 - (-54)/(-21)). Suppose s = -3*n - 2*i + 172, 0 = -5*n - 7*i + 9*i + 308. Calculate the remainder when 225 is divided by n.
45
Let y(x) = 32*x**2 - 225*x + 330. Suppose 0 = -5*q + 5*m + 54 + 46, 5*m - 14 = -q. What is the remainder when q is divided by y(5)?
4
Let w = -1398 - -6300. What is the remainder when w is divided by 9?
6
Suppose -5*n = -59*n - 152*n + 777856. What is the remainder when n is divided by 84?
80
Suppose 4*z = 24, -514*z + 515*z = -a + 9. What is the remainder when 361 is divided by a?
1
Let w = -8270 + 8290. What is the remainder when 21679 is divided by w?
19
Suppose 3*r - 2*n = 4*r - 3, -3*n = 3. Let f(m) = m. Let g be (-5)/5 - (2 + -6). What is the remainder when r is divided by f(g)?
2
Let f be ((-480)/(-18) - 0)*18/1. Suppose -5*m + 29*m - f = 0. Calculate the remainder when 27 is divided by m.
7
Let z be -7 - 80/(-12) - 164/(-6). Suppose -z*c = -1290 + 453. What is the remainder when c is divided by 16?
15
Let l = 40085 + -38954. Calculate the remainder when l is divided by 272.
43
Let a(t) = -10*t - 76. Let o = -471 - -459. What is the remainder when a(