31 = -h, 2*r + q = h. Calculate the remainder when 47 is divided by h.
15
Let v = 1027 + -980. What is the remainder when 1245 is divided by v?
23
Let r = -14173 + 14190. Calculate the remainder when 7784 is divided by r.
15
Calculate the remainder when 6423 is divided by ((-16)/(-80))/(1/45).
6
Suppose 3*o = 37 + 2. Let b be (-88)/6*42/(-56). Suppose b*y = o*y - 8. Calculate the remainder when 19 is divided by y.
3
Let v = 19987 - 18594. Calculate the remainder when v is divided by 123.
40
Suppose 4*t + 9 = 3*y, 2*y - 13 = -0*t + 5*t. Calculate the remainder when 5 is divided by 1/(((-6)/(-4))/((-3)/y)).
1
Let q = -48 - -51. Suppose q*i - 40 = 5. Let k = 23 + 51. What is the remainder when k is divided by i?
14
Let k(p) = 10*p**2 - p + 1. Calculate the remainder when 285 is divided by k(2).
12
Suppose 3*n - 3*y + 0 + 9 = 0, 4*y - 30 = -5*n. Let i = -152 - -269. Suppose 2*m = n, -2*l + i = l + 3*m. What is the remainder when 150 is divided by l?
36
Let r be (-18 - -24) + 0 + 73. Suppose -r = 2*s - 207. Calculate the remainder when s is divided by 28.
8
Let x(a) = 10*a + 90. Suppose -448 = 12*r + 44*r. Let q(h) = -h. Calculate the remainder when x(r) is divided by q(-6).
4
Let o = -4694 + 5868. Calculate the remainder when o is divided by 4.
2
Let j = 711045 - 710994. Let u = 94 - 49. Suppose 2*a - u = -9. What is the remainder when j is divided by a?
15
Suppose 0 = -j + 15*i - 20*i + 267, -5*j = -i - 1283. Calculate the remainder when j is divided by 105.
47
Let o be 33/(-22) + (-465)/(-2). Suppose -4*c = -2*b + 156, -3*b + o = -0*b - 5*c. What is the remainder when b - ((-6)/21 + (-27)/(-21)) is divided by 12?
11
Let o(b) = b**3 - 6*b**2 + 13*b - 14. Suppose 46 = 4*g - 3*w - 10, -3*w = -g + 14. What is the remainder when o(8) is divided by g?
8
Let x(l) = 36*l - 359. Calculate the remainder when x(20) is divided by 91.
88
Suppose 4*f - 290 - 2244 = -5*r, 2*f - 1294 = 2*r. What is the remainder when f is divided by 47?
30
Suppose 2*p + 2 = 0, 2*u + 2*p - 16 = 4*u. Let o(s) be the third derivative of -s**4/24 - 5*s**3/6 + 8*s**2. What is the remainder when 12 is divided by o(u)?
0
Let r(k) = -12*k - 50. Suppose 0 = -9*i + 4*i + 20. Suppose i*a = 2*a + 34. Calculate the remainder when a is divided by r(-5).
7
Let l = -50 + 54. Suppose 192 = 4*v + 4*z, 5*z = v + l*v - 210. Calculate the remainder when v is divided by 21.
3
Suppose 0 = 13*a - 6200 - 1678. What is the remainder when a is divided by 122?
118
Let b = 447 - 434. Suppose -272 = -b*o - 38. What is the remainder when 43 is divided by o?
7
Let z = 134316 + -74169. What is the remainder when z is divided by 30?
27
Let w be 0 - 3 - (4 + -13 + -2). What is the remainder when -4*(481/39)/(w/(-6)) is divided by 11?
4
Let u(g) = 2*g**3 - 284*g**2 + 287*g - 491. Calculate the remainder when u(141) is divided by 68.
10
Suppose 11*j - 22*j + 462 = 0. Calculate the remainder when 436/(-6)*(-63)/j is divided by 28.
25
Suppose 4*n + 518 = k - 117, k - 691 = -4*n. Calculate the remainder when k is divided by 220.
3
Suppose 0 = -8*w + u + 1957, -27 - 203 = -w + 5*u. What is the remainder when w is divided by 140?
105
Let a = 25 + -3. Calculate the remainder when ((-4)/(-22) - (-183)/(-99))*(-4182)/205 is divided by a.
12
Let g = 1631 + -703. Calculate the remainder when g is divided by 36.
28
Let k(s) = s**3 + 6*s**2 - 2*s - 2. Let d be ((-5)/(-10))/(3/(-12)). What is the remainder when (-2 - 24)*(1 + d) is divided by k(-6)?
6
Let h = 41 + -40. Let u be (((-32)/12)/8)/(h/(-24)). Suppose g - 3*i - u = 2*i, 0 = g - i - 8. What is the remainder when 27 is divided by g?
3
Suppose 0 = 181*x + x - 68796. Calculate the remainder when 846 is divided by x.
90
Let w = -153 + 152. Let s be 145/5 - w/1. Calculate the remainder when 9 is divided by 1/(-5)*(s/5 + -21).
0
Suppose 2*v = 4*u + 28, -v + 3 - 1 = 0. What is the remainder when 42 is divided by (u/4)/(33/(-286))?
3
Suppose 3*d - 2*d - 138 = 0. Let a = -73 + d. Suppose 562*r - 5*f - 312 = 554*r, 5*r - 162 = -f. Calculate the remainder when a is divided by r.
31
Let n be (-3 + 4)/((-3)/(-42)). Suppose n*a - 15 = 9*a. Suppose 8*h = a*h + 135. Calculate the remainder when 46 is divided by h.
19
Let k(x) = -x**2 - 409*x - 3487. What is the remainder when 214 is divided by k(-9)?
101
Let h = -9723 - -9828. What is the remainder when h is divided by 2?
1
Let h be 68 - (-4 - (2 - -1)). Let v = 130 - h. Calculate the remainder when v is divided by ((-3)/4)/(1/(-20)).
10
Suppose -5*k = -2*k - 18. Let d(v) = 3*v**3 + 13*v**2 + 32*v + 121. What is the remainder when d(-4) is divided by k?
3
Suppose -4*i + 2*m = -1704, -1134 = 5*i - m - 3270. Suppose -80*o + 1625 + 1815 = 0. What is the remainder when i is divided by o?
41
Suppose -5*k + 5*h + 1445 = -2050, 4*k = -h + 2801. What is the remainder when k is divided by 182?
154
Suppose 2*c = 4*n - n - 64, 2*n - 48 = -4*c. Suppose 2*f = -6 + n. What is the remainder when f is divided by ((-938)/168 + 6)*12?
3
Let u(q) = 5*q - 8. Let d be u(7). Let w = d + -7. What is the remainder when (-814)/55*11/((-110)/25) is divided by w?
17
Suppose b + 4*t - 8 = 0, -4*t - 34 + 2 = -4*b. Let a = -1405 + 1418. Calculate the remainder when a is divided by b.
5
Let m = -3396 + 3695. Calculate the remainder when m is divided by 50.
49
Suppose -2*v + 4*b + 174 = 0, 238*b + 252 = 3*v + 241*b. What is the remainder when 115 is divided by v?
30
Calculate the remainder when 824 is divided by (-216)/486*(-621)/6.
42
Let f = 3868 - 3139. What is the remainder when f is divided by 73?
72
Let m(x) = -3*x - 3. Let a(k) = 10*k + 8. Let o(d) = -2*a(d) - 7*m(d). Let i be o(-3). What is the remainder when 47 - (-3 + i + 2) is divided by 16?
14
Let p = 27720 - 24581. Calculate the remainder when p is divided by 31.
8
Let b(o) = 2*o**2 - 16*o - 25. Let l be b(10). Suppose 10514 = l*p + 2504. What is the remainder when p is divided by 67?
65
Suppose 22*h = 24*h - 32. Suppose 0 = -5*w - 3*m + 57, 2*m = 6*m - h. What is the remainder when 33 is divided by w?
6
Suppose -2*k + 2*p - 245 = -1267, -2*p = 5*k - 2583. Let n = k - 498. What is the remainder when 80 is divided by n?
12
Suppose 41*k + 471 = 38*k. Let h be ((-4)/(-6) - 0)*(7 + k). Calculate the remainder when 10 is divided by (6/(-5))/((-5)/h*-3).
2
Suppose 0 = -4*t + 226 + 46. What is the remainder when 69 is divided by 10/25 + t/5?
13
Suppose -5*h - u = -7812 + 7633, h = -u + 35. Suppose -4*m + 308 = -108. What is the remainder when m is divided by h?
32
Suppose 13 = -o - w + 65, 5*o - 5*w - 270 = 0. Let g = o - -3. Suppose m + 3*m = -2*j + 80, -3*j = 0. Calculate the remainder when g is divided by m.
16
Suppose 58 - 18 = 8*b - 96. What is the remainder when 811 is divided by b?
12
Let r be ((-14)/(-21))/((-2)/3) - -4. Suppose 23 - 8 = 4*h - 3*q, r*h - 4*q - 13 = 0. What is the remainder when 75 + 2 - (2 - 6/h) is divided by 26?
25
Suppose -4*b + 2*l = -42, -17*b = -15*b + 2*l. Calculate the remainder when 90 is divided by b.
6
Suppose 0 = -2*h - z + 72, 0 = -3*h - 0*h - 4*z + 113. Calculate the remainder when 19212 is divided by h.
32
Let d = 2892 - 2859. Calculate the remainder when 53 is divided by d.
20
Suppose -8*f = 31*i - 26*i - 11689, 0 = i - f - 2343. What is the remainder when i is divided by 769?
34
Suppose -4*o = 29*o + 126 - 2700. Suppose 2*s + 18 = 74. What is the remainder when o is divided by s?
22
Let t = 10 + 214. Let g = 243 - t. Calculate the remainder when g is divided by 5.
4
Suppose -4*h + 8*i + 98 = 10*i, h = 2*i + 22. Calculate the remainder when (-5270)/93*h/(-10) is divided by 49.
38
What is the remainder when 88 is divided by (-4500)/(-135)*6/5?
8
Let c(x) = -x**2 - 21*x - 96. Let j be c(-15). Let s(t) = -t**3 + 2*t**2 + 2*t - 2. Calculate the remainder when s(-4) is divided by (580/(-30))/(4/j).
28
Let h = 3 - -6. Suppose -h*r - 47 = -10*r. Let m(i) = 4*i. Calculate the remainder when r is divided by m(2).
7
Let q = -4906 + 5289. Calculate the remainder when q is divided by 126.
5
Suppose 9 = -4*s + 17. Let u be 1 + 14/2 - s. What is the remainder when 63 is divided by (-36)/u*1*-3?
9
Suppose 266*r - 87*r - 193824 = -109*r. Calculate the remainder when r is divided by 52.
49
Let m = 242 - 216. Let o(a) = -15*a + 139. What is the remainder when o(-8) is divided by m?