alculate the remainder when b is divided by 19.
7
Let h be (-74)/(-14) - (-2)/(-7). Suppose -8 = 3*t - h*t. Let d(b) = -5*b + 42. Calculate the remainder when t is divided by d(8).
0
Let r = 47 - -93. Suppose -r = -4*s - 32. What is the remainder when s is divided by 5/25*(18 + 52)?
13
Let q(m) = 9*m - 3*m - 4*m + 6. Let g be q(0). Calculate the remainder when 10*(-6)/9*g/(-8) is divided by 2.
1
Suppose -252 = -v - 4*f, 19*v - 2*f = 17*v + 474. Let m = v + -204. Suppose -2*w + 165 = a + 30, -w + 75 = -a. Calculate the remainder when w is divided by m.
34
Suppose -2*i = 3*q - 241, -6*i - 80 = -q - 7*i. Suppose -74 = -4*z - o + q, -5*o + 167 = 4*z. Calculate the remainder when 108 is divided by z.
32
Let a(j) = -j - 19. Let x be a(-21). Let y(h) = 7*h - 5 + h - 8*h - 2*h + 4*h**x. What is the remainder when 74 is divided by y(3)?
24
Suppose 9*r - 148 = 313 + 16. Let f(w) = 20*w**2 - 4*w - 4. Calculate the remainder when f(5) is divided by r.
52
Let g be (36/(-18))/(2/(-7)). Let y be g - (-4 + 2 + (3 - 2)). Suppose v + 4*j = -y, 4*v - 6*v = -3*j - 28. What is the remainder when v is divided by 4?
0
Suppose -7*y - 22 = -106. Suppose -y*i + 56 = -5*i. What is the remainder when 38 is divided by i?
6
Let h(y) = 4*y**2 + 16*y. Let z be h(-4). Suppose z = -7*g + 6*g + 131. What is the remainder when g is divided by 11?
10
Let k(b) = -3 - 10 - 2 + b + 3. Let h be (-8)/(-28) + (-89)/(-7). Calculate the remainder when 3 is divided by k(h).
0
Suppose -11*l - 2*a = -11216, 4*l - 2*a - 3869 = 215. Calculate the remainder when 2056 is divided by l.
16
Let d(f) = 10*f + 20. Let x be d(13). Suppose x = y - 273. Suppose l = -2*n + 227, 5*n + l - y = 143. What is the remainder when n is divided by 29?
26
What is the remainder when (24764/755)/(-2 + (-24)/(-10)) is divided by (-69)/(-2) + (-2)/(-4)?
12
Suppose -j + 84 = 5*h, -2*j - 4*h - 152 + 350 = 0. Calculate the remainder when 429 is divided by j.
102
Calculate the remainder when 2165 is divided by 1/(-16*(-16)/184064).
8
Suppose 416 = 4*t + 2*i, 0 = -3*i + 20 - 8. Suppose -t = 24*m - 726. Suppose 128 = 4*n - 4*b + 2*b, -5*b + 20 = 0. What is the remainder when n is divided by m?
8
Let x = -110 - -119. Suppose 0 = -x*r + 355 + 122. What is the remainder when r is divided by 9?
8
Suppose 4*b - 584 = -2*o, -4*o + 180 = 5*b - 556. Suppose -3*q = 3*i - b + 54, 0 = -3*i + q + 86. What is the remainder when 202 is divided by i?
28
Let q be (-6)/39 + (-510)/65. Let p be (q/20)/(2/(-5))*-1. Calculate the remainder when -7 + 8 - p/(3/141) is divided by 7.
6
Let g = 213 - 208. Let l(j) = 2*j + 3. What is the remainder when 88 is divided by l(g)?
10
Suppose 0 = 8*b + 2785 - 2969. Calculate the remainder when 2966 is divided by b.
22
What is the remainder when 1*390 - (-8 + (-84)/(-21)) is divided by 5?
4
Let i = 982 - 334. Calculate the remainder when i is divided by 50.
48
Let o(r) = -194*r**3 + 4*r**2 + 32*r + 29. Calculate the remainder when o(-1) is divided by 22.
19
Suppose 5*q + 97 = 3*k, 91 = 4*k - 2*q + 3*q. Let t = 203 - 201. Suppose t*i = -i + k. What is the remainder when i is divided by 5?
3
Suppose 4*g + 24 = 4*i, 2*g + g + 10 = -i. Suppose 251 - 359 = -i*l. Calculate the remainder when l is divided by 1*(-2 + 0) + 30.
26
Suppose 4*c + 5*j = -1044 + 3011, -982 = -2*c - 2*j. Let p = -325 + c. What is the remainder when p is divided by 55?
53
Calculate the remainder when 878 is divided by (-4 - 4/(-1) - (-98)/(-4))*-2.
45
Suppose -i - 5*b + 192 = 0, -2*i + 39*b = 38*b - 296. Calculate the remainder when 6240 is divided by i.
8
Suppose -18 = -3*q, -162 = 2*u - 5*u + 3*q. What is the remainder when 85 is divided by u?
25
Let j = 27 - 27. Suppose 5*f - 3*p + j*p = 197, -4*f + 163 = 3*p. Let l = -20 + f. What is the remainder when 74 is divided by l?
14
Let v be 2/(-5) - 153/(-45). Suppose 0 = v*b + 38 - 110. Suppose o = b - 13. What is the remainder when 32 is divided by o?
10
Let k(p) = -p**3 - 7*p**2 + 5*p - 10. Let i(x) = x**2 - 24*x - 1321. What is the remainder when i(52) is divided by k(-8)?
9
Calculate the remainder when 3 + 525/14*10 is divided by 99.
81
Let u be (2 + -2)/(9 - 10). Suppose 4*h + 2*n + 62 = u, 4*h + h - 4*n = -71. Let r(c) = c + 19. What is the remainder when 14 is divided by r(h)?
2
Suppose 5*v + 2*t = -648, -624 = 5*v - t - 3*t. Let o = v - -134. Suppose -69 - 9 = -o*y. Calculate the remainder when 64 is divided by y.
12
Let d be (9 - (1 + -2))/2. Let k be 3 - ((d - 2) + 2). Calculate the remainder when (3 - 1)*k - -14 is divided by 6.
4
Let m be 2 + (8/48 - (-13)/(-6)). What is the remainder when (-6 + 5)*(m - 86) is divided by 10?
6
Let o = 218 + -219. Calculate the remainder when ((-2015)/35 + -5)*7/o is divided by 55.
53
Let k = -37 + 37. Suppose 3*z + 16 - 73 = k. Let s = 26 + z. What is the remainder when s is divided by 16?
13
Let l = 261 - 188. Suppose -36 = -a + b, l*a + 2*b = 76*a - 109. What is the remainder when 221 is divided by a?
36
Let s be 1/((4/688)/((-15)/(-20))). Let b = s - 76. What is the remainder when b is divided by 7?
4
Let u = -64 - -67. What is the remainder when 2/u - ((-8064)/(-27))/(-8) is divided by 14?
10
Let d be (3 + 85/(-25))*-50. Suppose 3*v = 4*v - d. Calculate the remainder when v is divided by 7 - ((-4)/2 - -2).
6
Calculate the remainder when ((-7)/((-21)/78))/(6/(-2256)*-1) is divided by 11.
8
Let s = 2177 - 2157. Calculate the remainder when 413 is divided by s.
13
Suppose -2*r = -3*y - 149 - 834, 3*r - 1476 = 4*y. Let z = 519 - r. What is the remainder when 273 is divided by z?
20
Suppose -218*t + 21546 = 352*t - 3*t. Let v = -30 + 139. Calculate the remainder when v is divided by t.
33
Let g(i) = -i**3 - 68*i**2 - 132*i + 23. What is the remainder when 3632 is divided by g(-66)?
21
Calculate the remainder when (0 - (-702345)/85) + (-72)/(-612) is divided by 26.
21
Suppose -3*g + 12860 = 4*m, -5*m - 4*g + 11569 = -4506. Calculate the remainder when m is divided by 20.
15
Let z(c) = -16*c**2 - 287*c + 40. Let k(u) = -u**2 + u + 13. What is the remainder when z(-18) is divided by k(0)?
9
Let o(q) = 3*q**2 + 4*q + 5*q**3 + 2*q**2 - 4*q**3 + 2. Let g be o(-6). Let z = g + 102. What is the remainder when z is divided by 16?
12
Suppose 2*i + g = -2, -i + 3*g + 6 = i. Suppose i = t - 38 + 2. Calculate the remainder when 174 is divided by t.
30
Let x = -16045 - -16130. Calculate the remainder when 154 is divided by x.
69
Let g(j) = 10*j**2 + 10*j + 2. Let w be g(-2). Let q = 11 + w. What is the remainder when q is divided by 4?
1
Suppose -4*o = -6*o + c + 527, 0 = 4*o - 5*c - 1069. Let r = o - 237. What is the remainder when 69 is divided by r?
21
Let y(h) = -h**2 + 11*h. Let t be (-2)/((-36)/65 + (-6)/(-39)). Suppose -v = -3 - t. What is the remainder when 62 is divided by y(v)?
14
Let z(r) = 2972*r - 1 + 0 - 15 - 3057*r. Let v be (9/15)/(2/(-10)). Calculate the remainder when z(v) is divided by 48.
47
Calculate the remainder when 3097 is divided by ((-788)/7 + 2)*413/(-118).
1
Let l = 76 + -21. Suppose k = 3*k + 4. Calculate the remainder when l is divided by 15/(-10) - 31/k.
13
Let g(j) = -j**3 + 7*j**2 - 7*j + 5. Let t = -32545 - -32622. What is the remainder when t is divided by g(5)?
17
Let l be -3 + 8/1 + -1. Suppose l*v - 53 - 45 = -2*h, -4*v = h - 99. Let b(f) = f**2 + 11*f - 5. What is the remainder when v is divided by b(-12)?
4
Calculate the remainder when -16 + 198/18 - -1002 is divided by 69.
31
Suppose -14273 = -5*f + 164*v - 162*v, -4*f + 11440 = 2*v. What is the remainder when f is divided by 285?
7
Let p = 101 + -90. Let b(g) be the third derivative of -g**5/60 + 3*g**4/4 + 8*g**3/3 - 20*g**2. Calculate the remainder when b(p) is divided by 24.
21
Let u = 92 - 92. Suppose -5*x + 20*x - 165 = u. What is the remainder when x is divided by 4/(-30) + 47/15?
2
Let i(x) = -4*x - 3. Let c be i(-2). Suppose -5*m - 120 = 2*g, 4*m + c*g + 89 = 2*g. Let s = m + 71. What is the remainder when 175 is divided by s?
40
Let f = 19534 - 10705. What is the remainder when f is divided by 92?
89
Suppose -5*b + 32 = -6*t + 9*t, 2*t = -3*b + 19. Suppose -s + b*j - 5*j + 101 = 0, -3*j - 505 = -5*s. What is the remainder when s is divided by 18?
11
Let b(w) = -40*w - 4. Let t be b(-2). Suppose t = 5*i - 4*d, 4*i - 2*d - 30 = 2*i. Suppose 56*g - 300 = 51