when k is divided by 22.
5
Suppose -40 = 12*o + 8*o. What is the remainder when 9876/54 + o/(-18) is divided by 63?
57
Let i be 6/4*-1*(-142)/3. Let h = -47 + i. Calculate the remainder when h is divided by 15.
9
Let b = -5219 - -5288. What is the remainder when 156 is divided by b?
18
Let x(a) = -a + 7. Let g(f) = 2. Let v(n) = -6*g(n) + 2*x(n). Suppose -8*h + 689 = 8*h + 257. Calculate the remainder when h is divided by v(-2).
3
What is the remainder when 464 is divided by (1 - 7)/(5 + 243/(-45))?
14
Let t(i) = -31*i - 2305. What is the remainder when 3467 is divided by t(-76)?
50
Suppose 5*c = -2*v + 89, -5*c + 37 = -5*v - 38. Suppose -153 = -99*p + 61*p + 531. What is the remainder when p is divided by c?
1
Suppose -p + 23 = 98*o - 100*o, -o = 2*p - 21. What is the remainder when 7370 is divided by p?
12
Let q = 4872 + -2894. What is the remainder when q/10 + (-1)/(-5) is divided by 17?
11
Suppose 0 = -0*c + 2*c - 6, -3*c - 267 = 3*o. Let w be o/69 - 19/(-3). Calculate the remainder when 76 is divided by -4 - (-2 - w) - (2 - 12).
11
Suppose -9*m = -4*m - 550. Suppose -29*b + 24*b + m = 0. What is the remainder when 87 is divided by b?
21
Let a be 5/(-15)*1*-177. Suppose 0 = 2*l, 2*b - 247 = l + a. What is the remainder when b is divided by 5?
3
Let n(h) = -h**3 + 2*h**2 + 5*h + 1. Let v(y) = y**2 - 29*y + 3. Let k be v(29). Let b = 43 - 31. Calculate the remainder when b is divided by n(k).
5
Let o = -1486 + 2574. Suppose -24*t = -o - 496. Calculate the remainder when t is divided by 24.
18
Let l = 27 - 29. Let r be (-18)/(-27)*12/l. Calculate the remainder when (546/65)/(r/(-10)) is divided by 6.
3
Let d = 19128 - 18993. Calculate the remainder when d is divided by 40.
15
Let f = 122 + 1. Let l(q) = q**2 + 32*q - 1407. What is the remainder when f is divided by l(-57)?
15
Suppose -30*o - 11*o = -10*o - 3503. Calculate the remainder when 476 is divided by o.
24
Let w(p) = -p**3 - 10*p**2 + 4*p + 3. Let i be w(-12). Let n = 355 - i. Calculate the remainder when n is divided by 13.
8
Suppose -7*l + 10 + 529 = 0. Suppose -10*b + l = -223. Calculate the remainder when 136 is divided by b.
16
Suppose 7*h = -228*p + 226*p + 8108, -4*p + 4636 = 4*h. Calculate the remainder when h is divided by 83.
79
Let d = 168 - 143. What is the remainder when 174 is divided by d?
24
Let a(k) = k**3 + 5*k**2 - 8*k - 4. Let m be a(-7). Let r = m + 80. What is the remainder when 62 is divided by r?
28
Suppose -4*x + 99 - 75 = 0. Suppose -x*g + 91 = g. Suppose -3*c = h - 16, -2*h + 2*c + g = -3. What is the remainder when 39 is divided by h?
9
Let v be (-545)/(-35) + (16/28)/(-1). Let g(s) = s**3 - 14*s**2 - 13*s - 36. Let d be g(v). Calculate the remainder when 690/9*d*(-3)/15 is divided by 31.
30
What is the remainder when 9889 is divided by (6*-1 - 3)/(17 + 600/(-35))?
61
Let p(z) = 37*z - 64. Let j be p(2). Let i(k) = 8*k - 39. Let h(y) = 27*y - 2. What is the remainder when h(3) is divided by i(j)?
38
Let j(a) = -a**3 + 50*a**2 + 3*a - 142. What is the remainder when 236 is divided by j(50)?
4
Let w = -212 + 215. Suppose -2*s = -5*c - 423, -c - c = w*s - 625. What is the remainder when s is divided by 21?
20
Let u = 4215 + -4183. What is the remainder when 40 is divided by u?
8
Suppose -u + 2*u + 4833 = 13416. What is the remainder when u is divided by 54?
51
Let t = -22 - -43. Let l(b) be the second derivative of -b**5/10 + 43*b**4/12 - 10*b**3/3 + 2*b - 226. Calculate the remainder when 101 is divided by l(t).
17
Let v(i) = -6*i - 75. Let o be v(-13). Let y be (6*2)/3*1. Suppose 5*g - 34 = -4*s, y*s - 4 - 10 = -o*g. What is the remainder when 49 is divided by g?
9
Suppose 19*d + 2954 = 3600. Calculate the remainder when 3*(101/3 + -1) is divided by d.
30
Let m(r) = r**3 - 23*r**2 + 63*r - 47. Calculate the remainder when 947 is divided by m(20).
11
Let t(g) = -g**3 - 11*g**2 - 15*g + 2. Let j(c) = 10*c. Let s be j(-1). Calculate the remainder when 207 is divided by t(s).
51
Suppose -25*k = -29*k + 2196. Suppose 18*f + k = 1683. Calculate the remainder when 180 is divided by f.
54
Suppose -2*w - 266 = -2*d - 3*w, 2*d + 2*w - 266 = 0. Suppose -2*f = -3*h - 59, 14*h = 4*f + 13*h - d. Calculate the remainder when 75 is divided by f.
7
Suppose -135*c + 1334 = 155*c - 1276. Calculate the remainder when 1625 is divided by c.
5
Suppose 12 + 38 = l - 5*t, 2*l + 2*t - 112 = 0. Suppose 3*z = l - 19. Suppose 0 = -21*g + 19*g + z. Calculate the remainder when 27 is divided by g.
3
Let t = -5002 - -5093. What is the remainder when 2178 is divided by t?
85
Suppose 142*h = 2878 + 2092. Calculate the remainder when h is divided by 2/(-8) - 98/(-8).
11
Let o(k) = -380*k - 3231. What is the remainder when o(-20) is divided by 95?
94
Let f(d) = 3*d + 360. Let j be f(19). Let k = -380 + j. Calculate the remainder when 328 is divided by k.
32
Let p = 1057 - 990. What is the remainder when p is divided by 582/24 + (-3)/12?
19
Let j(q) = -q**2 + 4*q + 4. Let f(o) = 19 - 7*o + 14*o - 2*o + 0*o. Calculate the remainder when f(0) is divided by j(3).
5
Suppose 2*f = 4*y - 1663 - 367, -5*y - 8*f + 2464 = 0. Calculate the remainder when 2039 is divided by y.
23
Suppose 1158 = 83*g - 170. What is the remainder when 703 is divided by g?
15
Let o = -2177 - -2263. Suppose -113 = -4*p - 5*m + 61, 144 = 3*p - 3*m. What is the remainder when o is divided by p?
40
Suppose 25*p - 1157 + 382 = 0. Calculate the remainder when p is divided by (6/(-10))/((-8)/40).
1
Suppose 98 = 2*n + 3*j, 2*n + 3*n + 5*j = 250. Suppose 3*c - 5*w + 17 = 0, 3*c - w + 3 = 2. Calculate the remainder when n is divided by 12/c + (-2)/2*1.
8
Suppose 5*n - 4*d - 512 = 0, -312 = n - 4*n + 4*d. Let w(x) = -2*x**3 - 32*x**2 + x + 22. Calculate the remainder when n is divided by w(-16).
4
Suppose 0 = 3*m - 3, d + m = 19 + 15. What is the remainder when 81 is divided by d?
15
Let w(s) = 3*s - 14. Let n be w(-7). Let t = n + 50. Let x = 36 - t. What is the remainder when x is divided by 8?
5
Suppose 73*p = 69*p + 1364. Let z = 398 - p. Calculate the remainder when 340 is divided by z.
55
Let n(a) = a**2 - a - 10. Let f = -83 + 90. Calculate the remainder when 91 is divided by n(f).
27
Let j be 2/(-10) + 1056/30. Suppose 3*f - 7*f + 3*v + 71 = 0, -j = -2*f + v. Suppose 31*o - 32*o + f = 0. Calculate the remainder when 116 is divided by o.
14
Suppose 0 = -a + 2*l + 43, 2*l + 290 = 5*a + 7*l. Calculate the remainder when a is divided by (6/24 - -5)*(-8)/(-3).
11
Let z = 212 - 360. Let b = z + 236. Calculate the remainder when 173 is divided by b.
85
Suppose 28*p = 40*p - 408. Calculate the remainder when p is divided by 8.
2
Suppose 0 = 2*c - 8*x + 10*x - 1900, -4*x = 3*c - 2857. Calculate the remainder when c is divided by 232.
15
Let r = 7084 + -7076. Calculate the remainder when 11 is divided by r.
3
Let z(t) = -135*t**3 - 13*t - 12. Suppose 180 = -12*c + 17*c. Calculate the remainder when z(-1) is divided by c.
28
Suppose -4794 = -4*b - 914*l + 917*l, 4790 = 4*b - 5*l. Calculate the remainder when b is divided by 71.
64
Let z be (-6)/(-9)*(5 + -2) - -12. Suppose -z - 40 = -3*w. What is the remainder when 9/w + 65/2 is divided by 9?
6
What is the remainder when (-12711)/(-6) + ((-18)/12)/(-3 + 2) is divided by 101?
100
Let d(l) = 32*l - 26. Let g be d(-11). Let c = -212 - g. Calculate the remainder when c is divided by 28.
26
What is the remainder when 684 is divided by (-975)/(-3) + 0/(1 + -6) + 1?
32
Let q(k) = k**2 - 4*k - 8. What is the remainder when 1/(4*4/496) is divided by q(6)?
3
Let t(b) = 34*b. Suppose 6 = 3*j - 6. What is the remainder when t(j) is divided by ((-3)/2)/((-75)/700)?
10
Suppose 8*i = 1389 + 699. Suppose -855 = -31*s + i. What is the remainder when 93 is divided by s?
21
Suppose -185 = 4*g + 4*z - 669, 0 = -5*g - z + 621. Calculate the remainder when g is divided by 19.
11
Let z = -34 + 33. What is the remainder when 3 - (2 + z)/((-10)/770) is divided by 14?
10
Let n(z) = -688*z + 2991. What is the remainder when n(2) is divided by 10?
5
Calculate the remainder when (14/(-4) + -4)/(2/(-20)) is divided by 71.
4
Let f = -2857 - -2880. Calculate the remainder when 161 is divided by f.
0
Let m(j) = 2*j - 24. Let p be m(10). Let g(s) = -12*s - 12. Let w be g(p). Suppose 10*y - w = 7*y. Calculate the rema