 - 8. Let h = p + 37. Suppose -80*w + 1309 + 267 = 117*w. What is the remainder when h is divided by w?
6
Calculate the remainder when 1668 is divided by -11*((-7)/35 - 4*(-4)/(-220)).
0
Let d(j) = -j**3 + 10*j**2 - 9*j + 3. Let o be d(9). Let l be (180/75)/(o/(-10)). Let r = l - -11. Calculate the remainder when 9 is divided by r.
0
Suppose 14*f - 7*f + 42 = 0. Let n be (f*6/18)/(4/(-194)). Suppose b + 24 = n. Calculate the remainder when b is divided by 26.
21
Let w(q) = 32*q**2 + 163*q - 25. Calculate the remainder when w(-8) is divided by 50.
19
Suppose 2*j - 4376 + 4142 = 0. What is the remainder when 137 is divided by j?
20
Suppose 3*s - k + 18806 = k, k = -s - 6272. Calculate the remainder when 154 is divided by s/(-114) - (0 + 0/(-1)).
44
Suppose -71 = -3*w - 2*b, 4*b - 109 = -4*w - 13. Let j = -257 - -267. Suppose -356 = -14*r + j*r. What is the remainder when r is divided by w?
20
Let k(w) = 35*w**2 + 78*w + 1033. Calculate the remainder when k(-16) is divided by 14.
9
Let y(j) = -11*j**2 - 24*j + 164. Let m(n) = -13*n**2 - 24*n + 163. Let p(g) = -6*m(g) + 7*y(g). What is the remainder when p(25) is divided by 33?
30
Let s = 24195 + -21913. What is the remainder when s is divided by 16?
10
Suppose 3*f + 4*l - 167 = -15, 4*l + 240 = 4*f. Calculate the remainder when f is divided by 0 - 131/(-9) - (-116)/261.
11
Suppose -85 = -28*d + 55. Let w = -55 + 69. Suppose -40 = -18*i + w*i. Calculate the remainder when i is divided by d.
0
Let o(i) = -2*i**2 + 45*i - 18. Calculate the remainder when (-10)/4*(-253 - (-126)/(-14)) is divided by o(20).
81
Let y = -3348 - -3363. What is the remainder when 472 is divided by y?
7
Suppose 2*r = 5*b - 914, 51*b - 49*b - 2*r = 362. What is the remainder when 1839 is divided by b?
183
Let o(u) = u**2 + u - 2. Let d be o(-6). Suppose 3*b - 7*b = -d. Suppose -273*q + 8069 - 29509 = -1345*q. What is the remainder when q is divided by b?
6
Suppose 18*j = j + 629. What is the remainder when j is divided by 9 + -11 + (1 - -6)?
2
Let w(t) = -286*t + 5510. What is the remainder when w(15) is divided by 49?
44
Suppose -5938*q - 3045 = -5959*q. Calculate the remainder when q is divided by (-149)/(-4) - 1/4.
34
Let g(z) = -z**2 - 34*z + 510. Let q be g(11). Let y = -1 - -1. Suppose y = -q*j + 10*j + 125. What is the remainder when 147 is divided by j?
22
Let a(u) = -u**2 + 2*u + 1. Let m(o) = 5*o**2 + 9*o - 1. Let v(z) = -2*a(z) - m(z). What is the remainder when 87 is divided by v(-3)?
10
Suppose r - h - 93 = 5, -4*r - 5*h + 419 = 0. What is the remainder when r is divided by 50?
1
Let z = 17 - -31. Let y(f) = f**2 - 12*f - 2. Let o be y(13). Suppose o*p - 4*p = 182. What is the remainder when z is divided by p?
22
Let q(y) = -136*y**3 - 2*y**2 - 6*y - 5. What is the remainder when 187 is divided by q(-1)?
52
Let x(i) = -171*i + 55. Let m be x(-5). Suppose -3*q + 684 = 3*b, -7*q = -3*q + 5*b - m. What is the remainder when q is divided by 77?
76
Suppose v = 5, -5*v - 353 = -4*z - 10*v. What is the remainder when z is divided by 22?
16
Calculate the remainder when 312 is divided by (10 + 4 + -3)/(-2 + (-132)/(-64)).
136
Suppose 55*c = 51*c + 16. Suppose 4*a = c*o - 224, -a - 4*a - 178 = -3*o. What is the remainder when 355 is divided by o?
49
Let z(l) = -3*l**3 - 11*l**2 + 19*l + 136. What is the remainder when 3242 is divided by z(-5)?
140
Suppose 1459 = 11*t - 103. Suppose -m + t - 71 = 0. Calculate the remainder when m is divided by 15.
11
Let s be (6/1)/((-82)/(-369)). Suppose -2*y - 2*m = -0*y - 14, 1 = y - 5*m. Suppose y*o = 27 + s. Calculate the remainder when 96 is divided by o.
6
Let o = 26 - 25. Let r be (o - 2) + -86 + 0 + -1. What is the remainder when (-2 - r)*2/4*1 is divided by 12?
7
Suppose 11*q - 823 = 442. Let h = q + -103. What is the remainder when h is divided by 5?
2
Suppose -2*j = -5*p + 150, -2*p - 4*j + 568 - 508 = 0. What is the remainder when p is divided by 22?
8
Let r be ((-160)/(-100))/((-4)/(-5)). Let v = -3 - -5. Suppose 0 = -3*a + r*p + 83, -v*p + 0*p = a - 41. What is the remainder when 91 is divided by a?
29
Suppose -4*o + 8*o - 204 = 0. Suppose o = 3*g - 0*g. Let v = 0 + g. What is the remainder when v is divided by 3?
2
Let x = -2412 + 3114. What is the remainder when x is divided by 257?
188
Let g(n) = 24*n**2 - 29*n - 8. Calculate the remainder when 597 is divided by g(-2).
13
Let d(t) = -8*t**2 - 21*t + 44. Let o be d(-12). Let n = 1049 + o. Calculate the remainder when n is divided by 51.
40
Let n be -5*(16/(-20) - 2). Let o = -105 - -147. Let v = n + o. What is the remainder when v is divided by 15?
11
Let y(v) = 57*v - 4. Let s be y(4). Let z = s + -210. Calculate the remainder when z is divided by 3.
2
Let b = 88 - 47. Let x = b - 44. Calculate the remainder when 15 - (x - (-5 + 3)) is divided by 9.
7
Let k(z) = -18*z**3 + z**2 - 2*z - 1. Suppose -6*a - 1 = -2*o - 3*a, o = -5*a - 6. What is the remainder when k(o) is divided by 8?
4
Let w be 593/3 - (-6)/(-9). Let n = w + -95. Suppose -4*f - 3*d = -427, n = f - 0*f - 4*d. What is the remainder when f is divided by 27?
25
Let l(i) = 14*i**2 + 305*i - 612. Calculate the remainder when 570 is divided by l(2).
30
What is the remainder when (755352/269)/(0 + 1) is divided by 53?
52
Let l(z) = 2*z - 5. Let p be l(5). Let c(q) = 16*q + 509. Let i be c(-31). Suppose -37 = -p*x + i. Calculate the remainder when 19 is divided by x.
9
What is the remainder when 41372/18 - (-1 - -1*91/63) is divided by 27?
3
Suppose 0 = -8*l + 98 + 22. Suppose 7*g - l*g = -192. Calculate the remainder when 71 is divided by g.
23
Calculate the remainder when 1 - 0 - (-5 + -38) is divided by (-45)/(-9) + -12 + 22.
14
Let x be (-6 - -9)/(2/(-12)). Let q(p) = p**3 + 20*p**2 + 37*p + 12. Let r be q(x). Calculate the remainder when (46 + -27)/((-2)/r) is divided by 12.
9
Suppose 3*c + 905 = 914. What is the remainder when (-2)/12 + 7018/132 is divided by c?
2
Let x(w) = -6*w + 114. Let k(g) = 3*g - 56. Let m(z) = -5*k(z) - 2*x(z). Calculate the remainder when m(8) is divided by 17.
11
Suppose 7*s - 3*s + r = 377, -5*s + 5*r = -465. Let j = 139 + -103. Calculate the remainder when s is divided by j.
22
Let j be 0/(-10) - -6 - -8. Let t = -12 - -93. Let u = j + t. Calculate the remainder when u is divided by 32.
31
Suppose -3*j + l + l = -144, 0 = 2*j - l - 95. Suppose 0 = -10*u - 64 - j. Let z(x) = -2*x**2 - 21*x + 18. What is the remainder when 46 is divided by z(u)?
4
Let u = 9787 + -9578. What is the remainder when u is divided by 18?
11
What is the remainder when 461 is divided by 1/5 - (24510/25)/(-43)?
1
Let m(j) = 100*j**2 - 27*j - 123. Calculate the remainder when m(-4) is divided by 33.
1
Let k = -135 - -140. Let i = 18 - 12. Suppose x - q + 61 = i*x, -65 = -5*x - k*q. Calculate the remainder when x is divided by 7.
5
Let w = 3 + 2. Suppose -3*q + y + 46 = 0, -2*q = -y + 268 - 300. What is the remainder when q is divided by w?
4
Suppose 19*y = 16*y + 2478. Suppose 0 = -17*g + 245 + y. Calculate the remainder when g is divided by 34.
29
Let p = 3374 - 3273. What is the remainder when 498 is divided by p?
94
Let w = 49 + -50. Let g be w*(-2 + -6 + 4). Suppose -3*k - 8 = -g*k + 2*q, -2*q + 52 = 5*k. What is the remainder when 17 is divided by k?
7
Suppose -5*d = -35 - 40. Let n = -29648 - -29717. What is the remainder when n is divided by d?
9
Suppose 3*l - 42 = -3*s - 0*s, 0 = -5*l. Let u = -50 + 53. Suppose 0 = 4*q + 5*k - 10 - 5, 2*q - u*k = 13. What is the remainder when s is divided by q?
4
Let r = 16 + 3. Let g(w) = -w - 60*w**2 + 2 + 61*w**2 + 4*w. Calculate the remainder when g(6) is divided by r.
18
Suppose -21*f + 14*f = -182. Let p = -36 - -79. What is the remainder when p is divided by f?
17
Let y = -15833 + 16241. Calculate the remainder when y is divided by 62.
36
Calculate the remainder when 326 is divided by (4536/(-15))/(-6) - ((-288)/30 - -10).
26
Let a = 512 + -313. Let k = a - 162. What is the remainder when 71 is divided by k?
34
Let s = -7804 + 7846. Suppose -2*c + 0*c + 22 = 0. Let o(u) = 11*u + 4. Calculate the remainder when o(c) is divided by s.
41
Suppose 0 = k - 7*k + 24. Suppose 4*f - 13*q + 15*q = 16, -8 = -k*q. Calculate the remainder when 13 is divided by f.
1
Suppose 159*t - 6375 - 8094 = 0. Calculate the remainde