
5
Let c = -28 - -48. Let u be (-3 + 44/c)/(1/(-65)). Suppose 14*j = 18*j - u. Calculate the remainder when 20 is divided by j.
7
Let u(q) = q**2 - 93*q - 21903. Suppose -w = -5*w + 504. What is the remainder when w is divided by u(202)?
11
Let m = -2261 + 2521. Calculate the remainder when m is divided by 259.
1
Suppose -3*w - 126 - 63 = -10*w. Calculate the remainder when 3110 is divided by w.
5
Let m(t) = 3*t**2 - 2*t + 16. Let y be m(-6). Let s = -124 + y. Suppose -3*j = -8*j + 3*i + 199, i - 125 = -3*j. Calculate the remainder when j is divided by s.
5
Let j(k) = -k + 21. Let l be j(18). What is the remainder when 301 is divided by 29/9 - l - (-568)/36?
13
Suppose 304 = -8*b + 10*b + 17*b. Calculate the remainder when 16 is divided by b.
0
Let x = -517 - -575. Let m(o) = o**2 + o. Suppose k + 10 = 6*k. Calculate the remainder when x is divided by m(k).
4
Suppose 0 = 7*r - 1619 - 964. Suppose -r*w = -363*w - 624. Calculate the remainder when 620 is divided by w.
100
Suppose -4*o + 2*o - 62 = 0. Let f = o + 32. Let k(n) = 8*n**3 + 2*n - 2. Calculate the remainder when 46 is divided by k(f).
6
Suppose -317*s + 318*s + i - 3975 = 0, 0 = 3*s + 9*i - 11943. Calculate the remainder when s is divided by 265.
262
Suppose -13*r + 15*r - 40 = 0. Suppose 3*m + 85*w - 84*w = 12, -r = -m + 5*w. Calculate the remainder when 183 is divided by m.
3
Let u be 60/24*(-16)/5. Let x be 4/(2*-1) + 1344/u. Calculate the remainder when (-16)/10*x/4 is divided by 14.
12
Let h(n) = 6*n**2 + 23*n - 12. Let f be h(12). Suppose 0 = 6*b - 30*b + f. What is the remainder when (-6)/4 - (-3750)/20 is divided by b?
45
Let i = -1 + 4. Suppose 8*f + i*w - 480 = 3*f, 2*f + 5*w - 211 = 0. Suppose 0 = -149739*c + 149775*c - 684. Calculate the remainder when f is divided by c.
17
Let p(t) = t**2 + 286*t - 4026. Calculate the remainder when p(14) is divided by 57.
3
Let l = 11247 - 10322. What is the remainder when l is divided by 56?
29
Suppose -2*n + 531 = 4*c + 471, 2*c - 4*n - 50 = 0. What is the remainder when ((-4)/8)/(1/(-134)) is divided by c?
16
Let z = 337 - 334. Suppose z*j = 102 - 18. What is the remainder when 33 is divided by j?
5
What is the remainder when (-38 + 17)*(-2)/((-6)/(-13)) is divided by (-830)/(-35) + 1*8/28?
19
Let f = 757 + -435. Let j = 18512 + -18476. What is the remainder when f is divided by j?
34
Suppose 4*s + 37 = 3*u - 77, -80 = -2*u + 4*s. Suppose -3*j + 11 = -4*l, 2*j = 4*j + 4*l - u. Calculate the remainder when 170 is divided by j.
8
Let l(g) = -165 + 5*g + g**2 + 149 + 13*g. Let v be -2*-2*5*-1. What is the remainder when 46 is divided by l(v)?
22
Let n(s) = 2*s - 1. Let v be n(1). Let z = v - -26. Suppose 179 = 3*x - 4*w, -5*w = -0*w + 25. What is the remainder when x is divided by z?
26
Let o = 103 + 110. Suppose 75*j = -2*v + 72*j + 204, 2*v + 2*j - 210 = 0. What is the remainder when o is divided by v?
102
Let r(z) = 4*z**2 - 2*z + 4. Let t = -39855 - -39909. What is the remainder when t is divided by r(3)?
20
Suppose -1165413 + 263289 - 532326 = -50*j. Calculate the remainder when j is divided by 19.
18
Let n be 1 + -5 + 3 + -5. What is the remainder when 27 is divided by ((-220)/n)/(-5)*39/(-26)?
5
Let t = 4915 + -4907. Calculate the remainder when 68 is divided by t.
4
Let t = 2 - -35. Suppose 16 - 146 = -13*y. What is the remainder when t is divided by (y/3)/(10*7/105)?
2
Suppose -2*b + 13*r - 11*r = -988, -1486 = -3*b + 4*r. Calculate the remainder when b is divided by 265.
225
Suppose -3*s - 278 = -4*s. Suppose -12*l = -142 - s. Calculate the remainder when 138 is divided by l.
33
Calculate the remainder when 175 is divided by (492/144)/(1/8) + (-1)/3.
13
Let n(f) = -2*f**2 + 39*f - 16. Let y(w) = 34*w**3. What is the remainder when n(12) is divided by y(1)?
28
Suppose -4*p - 4*v + 132 = 0, -2*p + v + 76 - 22 = 0. Let n = 60 - p. Let b = -173 - -294. What is the remainder when b is divided by n?
28
Suppose -7*v + 2*v = -300. Suppose -25 = -5*m + 3*d + 68, -d = -5*m + 101. Calculate the remainder when v is divided by m.
18
Suppose -7*t + t + 12 = 0. Suppose 5*r + t*p = 1034, 413 = 2*r + 2*p - p. What is the remainder when r is divided by 21?
19
Let c(l) = -77*l**3 + l**2 + 7*l + 8. Let v(m) = m**2 - 7*m + 9. Let z be v(2). What is the remainder when c(z) is divided by 29?
21
Suppose -l + 2*y + 2769 = 0, 11076 = 4*l - 24*y + 20*y. Calculate the remainder when l is divided by 22.
19
Let f(c) = -56*c**3 + 50*c**2 + 214*c + 9. Calculate the remainder when f(-4) is divided by 14.
9
Let u be (2/5)/(69/1380). Suppose 2*y = -4*s + 126, 0 = -4*y + y - 5*s + 189. What is the remainder when y is divided by u/68 + (-270)/(-17)?
15
Let n = -8084 + 8934. What is the remainder when n is divided by 6?
4
Let u = -450 + 612. Suppose 10*i - u = -32. Calculate the remainder when 21 is divided by i.
8
Suppose 432 = 30*f + 6*f. What is the remainder when (-1258)/(-3) + -1*4/f is divided by 9?
5
Let u(o) = 4*o + 43. Let j be u(6). What is the remainder when 4 + (j + -14 - 1*5) is divided by (-18)/(-1 + 2/6)?
25
Let w(j) be the third derivative of j**6/60 + 7*j**5/10 + 11*j**3/6 + 19*j**2. Let h = 296 - 211. Calculate the remainder when h is divided by w(-21).
8
Let g = -159 - -187. Let q = -4 - -8. Let f = g - q. What is the remainder when f is divided by 9?
6
Suppose 3*x - 75 = 3. Let l = -26 + x. Suppose -2*t + 84 + 104 = l. Calculate the remainder when t is divided by 24.
22
Suppose 8*h - 1481 = 367. What is the remainder when h is divided by 41?
26
Suppose -g = 3*g - 40. Let l = 491 - 337. Calculate the remainder when l is divided by g.
4
Suppose 20 = 2*i + x, 205 - 241 = -2*i - 5*x. Calculate the remainder when 102 is divided by i.
6
What is the remainder when 7 + (-435)/60 + ((-55035)/12)/(-5) is divided by 92?
89
Suppose 4*t - 5*t + j = -128, -j = 2. Calculate the remainder when t is divided by ((-70)/(-35))/((-4)/(-66)).
27
Let a = 154 + -152. Suppose a*k + 18*k - 760 = 0. What is the remainder when k is divided by 8?
6
Let s(i) = 4*i**2 - 14*i - 5. Let g = 83 - 78. Calculate the remainder when 221 is divided by s(g).
21
Let m(b) = 2*b**3 - 3*b**2 + b + 5. Suppose 0 = 72*q - 81*q + 2079. Let r = 244 - q. Calculate the remainder when m(4) is divided by r.
11
Suppose 0 = f + 2*f + d - 1847, -3085 = -5*f + 5*d. Suppose 0 = 39*r - 40*r + 4*s + 211, -3*r - 5*s = -f. What is the remainder when r is divided by 10?
7
Suppose 0 = 38*w - 31*w - 19529 + 118. What is the remainder when w is divided by 19?
18
Let f(o) = -o**3 + 18*o**2 + 16*o + 97. What is the remainder when f(18) is divided by 133?
119
Suppose -t + 3341 = 3*y, 2083 + 1282 = 3*y - 5*t. Suppose -2*p - y = -3*p. Calculate the remainder when (-4)/(-18) - p/(-45) is divided by 9.
7
Suppose 34 = 3*f - 4*n, 5*n - 33 = -2*f + 28. Let d = 56 + -51. Calculate the remainder when f is divided by d.
3
Calculate the remainder when 861 is divided by -200 - -194 - 3*-19.
45
Let b(n) = -169*n - 127. Calculate the remainder when b(-3) is divided by 75.
5
Let n = 175 + -268. What is the remainder when -2 + n*(-8)/6 is divided by 62?
60
Suppose -a = -r - 0*r - 13, 5*a = r + 65. Let h(s) = -26*s**2 - 4110*s - 280. Calculate the remainder when h(-158) is divided by a.
10
Suppose 0 = 40*k - 47*k + 756. Let a = -7 + k. Calculate the remainder when a is divided by 17.
16
Let j = 232 + -122. Suppose -3*v + j - 32 = 0. What is the remainder when (105/14*1/3)/((-47)/(-1786)) is divided by v?
17
Let n be 4 + 0/(-2 + 3). Suppose -7*k = -n*k - 72. Suppose 13*j = 2*j + 110. What is the remainder when k is divided by j?
4
Suppose -u = -5*x - 312 - 18, 21*x = 5*u - 1634. Calculate the remainder when 19216 is divided by u.
306
Let r(m) = m**3 + 10*m**2 - 8*m + 4. Let p be r(-11). Let b be ((-2)/4)/(2/(-140)). Let v = p + b. Calculate the remainder when 21 is divided by v.
3
Suppose 0 = 2*z + 8, -3*y - 36*z + 32*z + 377 = 0. Calculate the remainder when 635 is divided by y.
111
Let y(j) = -2*j**2 - 38*j + 30. Let z be 3 - -6 - 24 - (-4)/(-1). Calculate the remainder when 118 is divided by y(z).
28
Suppose -2*w + 609 = 3*k, -18*w = -17*w - k - 292. What is the remainder when w is divided by 60?
57
Let o = 342 - 216. Suppose -18*x - b = -15*x, 0 = x - 3*b. Suppose x = 4*g + 38 - o. Calculate the remainder when 63 is divide