- 80 = -4*n, 2*n - 5*n - 4*w + 41 = 0. Suppose 2480 = n*s + s. Calculate the remainder when s is divided by 35.
19
Let y(r) = 3*r**2 + 37*r - 77. Let d(i) = -i**2 - 13*i + 25. Let m(t) = -17*d(t) - 6*y(t). Calculate the remainder when 474 is divided by m(-5).
15
Suppose 46*s = 39*s + 105. Suppose 4*h - 10*z = -8*z + 96, h = -4*z + s. Suppose 0 = -j + h. What is the remainder when 57 is divided by j?
11
Suppose 4 = -2*l - 3*r + 205, -r - 353 = -4*l. Calculate the remainder when 3865 is divided by l.
85
Suppose 5*f = 4*f. Let k be (11 + -1)*(14/(-4) - f). Let i = k + 43. What is the remainder when 31 is divided by i?
7
Let y(q) = 2*q**2 + 7*q + 2. Let s be y(0). Suppose -s*l + 239 = -x + 86, 4*x = 2*l - 138. Calculate the remainder when l is divided by 27.
25
Suppose 15752 = 41*o + 147*o - 9*o. What is the remainder when 1051 is divided by o?
83
Let x(q) = -q**3 - 15*q**2 - 3*q - 18. Let a be x(-15). Let b(m) = a*m + 2*m**2 + 5*m**2 - 22 - 9*m**2. What is the remainder when 238 is divided by b(10)?
46
Suppose -1490*i = -1495*i + 1340. Calculate the remainder when i is divided by 142.
126
Let m(b) = 9*b - 57. Let l be m(7). Suppose -50 = -3*a + 4*h, -9*a - l = -10*a - 4*h. What is the remainder when 35 is divided by a?
7
Let w(x) = -x**2 - x + 22. Calculate the remainder when 8*(-81562)/(-2288) + 1/((-11)/2) is divided by w(0).
21
Suppose 0 = -69*u + 74*u. Let n be (u - -3)/(15/10). Suppose n*g + 0*w + w - 62 = 0, g + w = 32. What is the remainder when 119 is divided by g?
29
Let c = 296 - 208. What is the remainder when 438 is divided by c?
86
Suppose -4*w - 220 = -3*v, -4*v + 2*w + 288 = -2*w. Suppose -r = -4*f + 51, 3*r = 16*f - 19*f + 57. Calculate the remainder when v is divided by f.
12
Let b(d) be the second derivative of d**4/12 + d**3/3 - 3*d**2/2 + d. Suppose -16*z = -18*z + 6. Calculate the remainder when 30 is divided by b(z).
6
Let f(t) = t**2 - 32*t - 1467. What is the remainder when f(-31) is divided by 79?
12
Let s = 767 - 650. Suppose -k + v = -22, -2*k + 14 = -k - 5*v. Calculate the remainder when s is divided by k.
21
Suppose 50641 = 86*c - 60213. What is the remainder when c is divided by 5?
4
Suppose 0 = 28*w - 24*w - 16, -3*x + 2*w + 4639 = 0. What is the remainder when x is divided by 96?
13
Suppose 10*f + 881 = 11*f. Calculate the remainder when f is divided by 13.
10
Calculate the remainder when 213 is divided by (4/(-6))/(-1 - (-516)/522).
39
Suppose -i - 296 = -10*v + 7*v, 3*v - 4*i - 302 = 0. Calculate the remainder when 475 is divided by 28/v - (-472)/14.
33
Suppose -2*z = -63 - 345. Calculate the remainder when 17*(1 + 0)*1 is divided by (z/(-238))/((-2)/14 - 0).
5
Suppose -1032 - 991 = -7*p. Calculate the remainder when p is divided by 21.
16
Let j = -60 + 62. Suppose a = 4*a - v - 20, -2*a - 5*v = -j. Let p(w) = -2*w. What is the remainder when p(-5) is divided by a?
4
Calculate the remainder when 1483 is divided by 7 - 14 - (-459)/17.
3
Let r = -280 + 296. Suppose -20*c + 312 = -r*c. Calculate the remainder when c is divided by 16.
14
Let u = -59 + 94. Suppose u = -5*w + 90. Calculate the remainder when 139 is divided by w.
7
Suppose 122*a - 27835 = 27*a. Calculate the remainder when 304 is divided by a.
11
Suppose -2*y = 2*u - 18, 0 = -4*y - 0*y - 3*u + 34. Suppose -8313*q + 8307*q = -282. What is the remainder when q is divided by y?
5
Let s(z) = -45*z - 9. Let v(h) = -2*h**2 - 12*h - 2. Let k be v(-6). What is the remainder when s(k) is divided by 14?
11
Suppose 0 = -5*l - 5*g - 20 + 90, -4*g + 32 = 2*l. Suppose -2*d + 13*w = l*w - 475, 0 = -d - 5*w + 254. What is the remainder when d is divided by 18?
5
Suppose 4*r = 5*l - 7*l + 74, 2*l - 29 = 5*r. Suppose -5*o + 75 = 25. What is the remainder when 3/l - (-4 + (-940)/45) is divided by o?
5
Let r = 822 + -334. Calculate the remainder when r is divided by 171.
146
Suppose -148*p = -1138 - 3302. What is the remainder when 917 is divided by p?
17
Let v = 32103 - 31746. What is the remainder when v is divided by 49?
14
Let q(h) = 3 - 23 + 11*h - 13*h + 3*h. Let g(d) = 3*d - 59. Let v(l) = -3*g(l) + 8*q(l). What is the remainder when v(3) is divided by 3?
2
Let p = 3062 + -3001. Calculate the remainder when 279 is divided by p.
35
Let x = 238 + -231. Let a(w) = -5*w + 67. Calculate the remainder when 124 is divided by a(x).
28
Suppose 0 = -9*p + 1116 - 1017. What is the remainder when 1007 is divided by p?
6
Let g = 2755 + -2747. What is the remainder when 1021 is divided by g?
5
Let j be (-3 - (1 + (-26)/4))*22. Suppose -3*t = t - 80. Suppose t + j = 5*z. What is the remainder when z is divided by 10?
5
Suppose 0 = -7*w - 205 - 334. Let f = 98 + w. Calculate the remainder when 61 is divided by f.
19
Let t(v) = -792*v + 233. What is the remainder when 250 is divided by t(0)?
17
What is the remainder when (8788/(-168) - 205/246)/(1/(-7)) is divided by 110?
42
Suppose 4*x = 4*j - 924, -458 = -j - j + x. Suppose -5*p = -4*z - 145, 27*p - 5*z - 29 = 26*p. Calculate the remainder when j is divided by p.
24
Let s = -136 - -144. Calculate the remainder when 74 is divided by (-1)/(s - (-267)/(-33)).
8
Let m = -844 - -941. Calculate the remainder when m is divided by 28.
13
Suppose 24 = 3*m + 3. Suppose -2*i - m*w = -3*w - 74, 4*w + 19 = i. Let a = i + -14. What is the remainder when 47 is divided by a?
13
Suppose 2*q + 2*q = -5*t - 17, 0 = -5*t - 5*q - 20. Suppose -5*g + 1653 - 1363 = 0. Calculate the remainder when g is divided by 30*6/(-15)*t.
10
Suppose 0 = 14*h + 17 - 241. What is the remainder when -2 + -9 + 252/6 is divided by h?
15
Suppose 4*j = -p + 3, 2*j - 3*j - 4 = 5*p. Let k(d) = -4*d - 1. Calculate the remainder when k(-5) is divided by (2/(-4))/(-1)*10/j.
4
Calculate the remainder when 5 - ((-1)/(-2))/((-61)/92842) is divided by 35.
31
Let l(u) = -22*u + 5. What is the remainder when l(-3) is divided by (26/(-9))/(24/(-300) + 35/(-1125))?
19
Let v = 7963 + -6476. What is the remainder when v is divided by 25?
12
Let o = 73 + -67. Suppose 0 = -7*l + o*l - 18. Let z = -2 - l. What is the remainder when 31 is divided by z?
15
Suppose 212*a - 235*a + 782 = 0. Calculate the remainder when 676 is divided by a.
30
Suppose -84*d + 22188 = -9228. What is the remainder when d is divided by 156?
62
Suppose 2*n = 35*q - 32*q + 964, q + 2397 = 5*n. Calculate the remainder when n is divided by 121.
116
Let b(m) = 52*m**2 - 15*m - 100. Calculate the remainder when b(-3) is divided by 58.
7
Let m(x) = 29*x - 869. Suppose 2*a - 6*a + 17 = q, 5*a + 68 = 4*q. What is the remainder when m(31) is divided by q?
13
Let x(t) = 14*t**2 + 159*t + 478. What is the remainder when x(-3) is divided by 12?
7
Let o = -91 + 147. Let t be (-4 - 21/(-9))/(7/(-21)). Suppose -3*q - o = -t*q. Calculate the remainder when 83 is divided by q.
27
Let x(a) = a - 2. Let v = -2 - -13. Let m be x(v). Suppose 12*o - 222 = m*o. Calculate the remainder when o is divided by 39.
35
Suppose -23 = -4*t + 5*c, 3*t + 8 = 2*c + 20. Calculate the remainder when 130 is divided by (29/(145/150))/t.
10
Let z = 13 - 2. Let c(o) be the third derivative of -13*o**4/24 + 137*o**3/6 - 22*o**2 - o. What is the remainder when z is divided by c(10)?
4
Let p be 1 - (0 - 64/(-4)). Let k(z) = z**2 + 13*z - 10. Let o = 165 + -7. Calculate the remainder when o is divided by k(p).
18
Let n = -1824831 + 1824842. Let l = -1 - -1. Suppose -k - k + 129 = 3*p, -p + 2*k + 35 = l. What is the remainder when p is divided by n?
8
Suppose 3*d + 14 = 5*q + 50, -5*q + 20 = 5*d. Suppose -6 = -d*v + 9*v. Calculate the remainder when 17 is divided by (1 + v)/(17/(-85)).
7
Let k = -731 + 813. What is the remainder when k is divided by 38?
6
Let j = 2071 + -137. Suppose -5*s - j + 4769 = 0. What is the remainder when s is divided by 30?
27
Let s = 12725 - 12700. Suppose -205 + 28 = -5*f - 2*y, 2*f = -5*y + 54. What is the remainder when f is divided by s?
12
Let m(t) = 9 + 1 - 5*t**2 - 24 + 3*t**3 - 4*t**3 + 3*t. Let y be m(-6). Calculate the remainder when 203 is divided by y/(-12) - 314/(-6).
47
Let m(q) = q - 3. Let j(w) = w**2 - 5*w. Let h(r) = j(r) - m(r). What is the remainder when h(9) is divided by 16?
14
Let u = -63 - -312. Suppose 2*n + 225 = u. What is the remainder when 179 is divided by n?
11
Suppose 5*w + 820 = -4*c + 10886, -2*c