9). Suppose 0 = r*f - 2*a + 6*a - 60, 3*f - 3*a = 135. Calculate the remainder when f is divided by 7.
5
Let l = 15 + 216. Let o = l + -146. What is the remainder when o is divided by 4?
1
Suppose 11*b - 701 = -2*n + 343, 3*b = n + 294. What is the remainder when 302 is divided by b?
14
Calculate the remainder when 160 is divided by 231/(-42)*260/(-55).
4
Suppose -12*u - 153 = -465. What is the remainder when 60 is divided by u?
8
Suppose 4*w = -0*w - 8. Let v(i) = i**3 + 7*i**2 + 4*i + 6. Calculate the remainder when v(-5) is divided by -3 + 23 + w/2.
17
Let q be (92/69)/(8/18). Suppose -3*z + 7*z - 28 = 5*y, 3*y = q*z - 18. Let r = 16 - 11. Calculate the remainder when r is divided by z.
1
Let h(u) = u**3 + 34*u**2 + 272*u - 22. What is the remainder when 235 is divided by h(-15)?
62
Let b(j) = -3*j**3 - 20*j**2 - 4*j - 38. Calculate the remainder when 1792 is divided by b(-7).
37
Let r = -105 - -105. Suppose r = -86*y + 91*y + 15. Let h(g) = 11*g**2 + 5*g + 12. What is the remainder when h(y) is divided by 11?
8
Let z be (-1)/((18/(-8) + 2)*1). Suppose z*k = -1940 - 1836. Calculate the remainder when 1 + (-2)/(-14) + k/(-7) is divided by 23.
21
Suppose 47*h - 793 = 27 + 308. Calculate the remainder when 190 is divided by h.
22
Suppose 22*v - 3444 = -672. What is the remainder when 549 is divided by v?
45
Let b be (9 + 451/(-55))/(2/(-90)). What is the remainder when (-25)/30 - 4350/b is divided by (-4)/12 + 124/3?
38
Let k be (-10)/(-2) - 48/16. What is the remainder when (164/(-5))/(k*(-4)/40) is divided by 33?
32
Let a = 17135 - 17119. Suppose 5*y = k - 12 - 60, -4*y + 244 = 5*k. Calculate the remainder when k is divided by a.
4
Let p(t) = -5*t**3 - 114*t**2 + 21*t + 31. Calculate the remainder when 9161 is divided by p(-23).
75
Let i(x) = -61*x**2 + 9*x + 7. Let k be i(-1). Let j be 440/6 + (-2)/6. Let u = j + k. What is the remainder when 16 is divided by u?
6
Let k = 59077 - 59038. Calculate the remainder when k is divided by 3/(-2)*(-16)/3.
7
Let a be ((-12)/(-15))/(4/(-40)*-4). Suppose -6 = -h + a. Let c = -13 + 15. Calculate the remainder when h is divided by c.
0
Let t(z) = -z**3 + 11*z**2 - 12*z + 22. Let d be 48/(24/3) + 1. What is the remainder when t(d) is divided by 33?
2
Let f(n) = -4*n - 36. Suppose -21*i = -26*i + 35. Suppose -v + i*r - 3*r - 17 = 0, -r - 68 = 4*v. Calculate the remainder when f(v) is divided by 9.
5
Let x = 5190 - 5112. Calculate the remainder when 85 is divided by x.
7
Suppose -116*x = -5*d - 117*x + 42902, 25755 = 3*d - 4*x. What is the remainder when d is divided by 29?
26
What is the remainder when 576/(-32) - -11 - 1/(2/(-3368)) is divided by 416?
13
Let b = -11017 + 16474. What is the remainder when b is divided by 182?
179
Suppose 0 = 3*p - 284 + 2. Let u = p - 78. Let c = u + -11. What is the remainder when 19 is divided by c?
4
Suppose -h - f = 0, -2*h = f - 2*f - 12. Suppose h*w - 359 = -3*t, -177 = -2*w + t - 0*t. Calculate the remainder when w is divided by 16.
9
Suppose 372 - 156 = 3*r. Suppose -b + 62 = 4*x - 29, 3*x + 2*b = r. Calculate the remainder when 54 is divided by x.
10
Suppose 19*d + 39 = 32*d. Let t be (d - -1)/((-2)/(-47)). Suppose t = 9*h - 95. What is the remainder when 39 is divided by h?
18
Let w(t) = -t**2 - 7*t - 2. Let m be w(-6). Let k be ((-3688)/(-6))/m + 6/(-9). Suppose j - k = -8*j. Calculate the remainder when 27 is divided by j.
10
Let t = -190 - -565. Suppose 0 = -4*i + 109 + t. Let j = 675 + -634. What is the remainder when i is divided by j?
39
Let g(i) = -i**3 - 3*i**2 + 21*i + 57. Let v be -1 + -10 - (-7 + 2). Calculate the remainder when g(v) is divided by 8.
7
Suppose -7*u = -156 + 16. Let p(l) = -l**2 + 3*l + 7. Let v be p(13). Let z = 202 + v. What is the remainder when z is divided by u?
19
Let s = 9 - 7. Suppose -n - s*f + 294 = 0, -5*n + 1470 = -0*n + 2*f. Suppose -5*d + n = 79. What is the remainder when 213 is divided by d?
41
Calculate the remainder when 8949 is divided by (-2066)/(-86) - 251/10793.
21
Let i = 11 + -6. Suppose -33*h - 9 + 139 = -2. Suppose -2*z + z - 12 = -i*s, -h*z = -3*s + 14. Calculate the remainder when 3 is divided by s.
1
Calculate the remainder when (-188271)/38*(-20)/30 is divided by 28.
27
Let r = 217 + -210. Calculate the remainder when 660 is divided by r.
2
Suppose 3*w + 4*j = 146, 0 = 56*w - 51*w - 3*j - 282. Calculate the remainder when 8801 is divided by w.
53
Calculate the remainder when 231 is divided by 5/(10/(8 + 242)).
106
Suppose 0 = 271*d + 21*d + 168*d - 32200. What is the remainder when 743 is divided by d?
43
Let b = -1057 - -1384. Calculate the remainder when b is divided by 104.
15
Suppose 9*v = 26*v - 136. Suppose -21*m + 16*m + 10 = -g, 4*m + v = 4*g. What is the remainder when 15 is divided by g?
0
Let d(b) = b**2 + 18*b + 24. Let r be d(-17). Suppose -4*t - 81 = -r*t. Suppose 2*f + 2*f = 208. What is the remainder when f is divided by t?
25
Let i = 485 - 451. What is the remainder when 2989 is divided by i?
31
Let s = 5042 + -4519. Calculate the remainder when s is divided by 104.
3
Let t = -2488 + 1358. Calculate the remainder when 30 is divided by t/(-95) + 6*(-4)/(-228).
6
Suppose 3*f - 5*f = -194. Suppose -s - 244 = 2*m, -5*m - 5*s = -7*m - 256. Let r = -109 - m. What is the remainder when f is divided by r?
13
Suppose 4*p - 5*j = 412, -p = 55*j - 56*j - 101. Let v = 37 + 10. What is the remainder when p is divided by v?
46
Suppose 0*d + o + 11 = 4*d, -4*d - o + 5 = 0. Suppose -5*j - 2*c + 6 = 0, 0 = d*c - 0*c + 4. What is the remainder when 5 is divided by j?
1
Let w(q) = 53*q - 170. Let t be w(-8). Let g = t - -658. Calculate the remainder when 248 is divided by g.
56
Suppose -2*i + 134 = -36. Let z = 91 - i. Calculate the remainder when 175 is divided by (134/z - 1) + (-10)/(-15).
21
Suppose -12*f + 6534 = 87*f. Calculate the remainder when 310 is divided by f.
46
Suppose 4*b + 210 = 926. What is the remainder when b is divided by (0 - -2)/(402/5226)?
23
Let q = -23 - -31. Let v(a) = a - 5. Let b be v(q). Suppose 4*z = 4*r - 260, -b*z + 0*z + 81 = r. Calculate the remainder when r is divided by 12.
9
Let k(c) = -3*c**2 - 2*c + 4. Let z be k(0). Suppose z*q + q = 2*n + 1161, 5*q + 3*n = 1146. What is the remainder when q is divided by 70?
21
Suppose 3*c = 4*d - 33, -3*d + 2*c + 14 = -d. What is the remainder when 106/9 + 2/9 is divided by d/6 + 3 + 0?
2
Suppose 13 = 2*a - 3*f, -3*a - f - 2 = -6*a. Let r be a*(-1 + 0)*290/2. Suppose -2*t + r = 3*t. Calculate the remainder when t is divided by 7.
1
Suppose 3*s = -2*s + 495. Suppose -3*h = 3*o - s, h - 161 = -5*o - 8. Suppose -2*d = -a - 233, 8 - 5 = a. Calculate the remainder when d is divided by o.
28
Suppose -332 = -4*j - 5*b, -33*b + 415 = 5*j - 31*b. What is the remainder when 152 is divided by j?
69
Suppose 6247 + 4807 = 286*s + 2474. Calculate the remainder when 1945 is divided by s.
25
Let l(v) = -33*v + 300. Let r be l(13). Let z = -105 - r. Calculate the remainder when 143 is divided by z.
23
Suppose -i = n - 5423, 0 = 2*n + 1329*i - 1326*i - 10837. Calculate the remainder when n is divided by 26.
24
Calculate the remainder when (2 + -3)*(11 + -6 - 232) is divided by (-3)/((-2)/(3 - -11)).
17
Calculate the remainder when -1 + -5 + 2*(-635)/(-10) is divided by 18 + 2/(-7)*(-2 + -12).
11
Let t = -851 - -1451. Calculate the remainder when t is divided by 18.
6
Let z(a) = a**3 + 6*a**2 - a + 3. Let w = 8 + -14. Let j be z(w). Let p = 43 - j. What is the remainder when 135 is divided by p?
33
Calculate the remainder when 1298/4 + (1479/58)/17 is divided by 111.
104
Calculate the remainder when 93 is divided by 157/314 - (-118)/4.
3
Suppose 2*n + 1984 = 4*f, -11*n + 1431 = 3*f - 22*n. What is the remainder when 1055 is divided by f?
57
Let h = -2980 + 3286. Calculate the remainder when h is divided by 28.
26
Let q = -5 + 34. Let n(y) = -2*y**2 + 14*y**2 - 3*y**2 + 2*y - 8*y**2. What is the remainder when q is divided by n(3)?
14
Let h(b) = 402*b - 2596. What is the remainder when h(30) is divided by 18?
14
Suppose -2*g + 1183 = 30*g - 577. Suppose 0 = -5*b - 3 + 73. What is the remainder when g is divided by b?
13
Suppose 0 = 176*y - 579 - 4525. Let v be (3/(-5) + 3)*10. Suppose 0 = 3*p - 21 - v. Calculate the remainder when y is divided by p.