(8).
72
Let p(t) = 158*t - 6775. Calculate the remainder when p(46) is divided by 236.
21
Suppose 3*x + 30*b = 35*b + 104, x - 30 = b. Suppose -3*d + 5*f + 488 - 158 = 0, 2*f + 220 = 2*d. What is the remainder when d is divided by x?
18
Let i(v) = -v**3 + 16*v**2 + 62*v + 25. Calculate the remainder when i(18) is divided by 64.
45
Suppose 0 = 2*s + 28 + 18. Let h = s - -17. Calculate the remainder when 38/h*(10 + -13) is divided by 5.
4
Let h(s) = 6*s**2 + 80*s - 1146. What is the remainder when h(12) is divided by 138?
126
Suppose 3*y - 5*q = y + 25, 5*y = q + 51. Let h(w) = w**2 - 9*w - 15. Let a be h(9). What is the remainder when y is divided by (-42)/a + -3 + 92/10?
1
Let v = -81 - -4. Let z = -72 - v. Suppose 51 = 2*b - z. Calculate the remainder when b is divided by 8.
4
Let g(r) = -6*r - 134. Let a be g(-30). Suppose 14*p = a - 18. What is the remainder when 55 is divided by p?
1
Let f(i) = -i**3 - 5*i**2 + i + 116. Let c be f(0). Suppose -6*z + c + 250 = 0. What is the remainder when 117 is divided by z?
56
Let l be (30/(-5) - -6)/6. Suppose 3*q - 2*b = 0, l = -3*q + b - 4*b + 15. What is the remainder when 55 is divided by q?
1
Suppose -4*q + 639 = 3*f + 183, 4*f = -16. Let l = -65 + q. Calculate the remainder when 96 is divided by l.
44
Let p(t) = 349*t**2 - 61*t - 90. What is the remainder when p(-2) is divided by 470?
18
Let t be (-7)/35*-19*(-3 - -8). Suppose 996 = t*s - 125. Calculate the remainder when s is divided by 23.
13
Let z = 5338 + -5132. What is the remainder when z is divided by 72?
62
Suppose 0 = 16*x - 18*x + 2*b + 12, -2*x + 5*b = -12. Calculate the remainder when -5*((-5190)/(-25))/(-6) is divided by x.
5
Suppose -5*j = y - 3644, 4*j + y = -1015 + 3931. Suppose 38*m - 30*m = j. Calculate the remainder when m is divided by 31.
29
What is the remainder when (2012/(-14))/((-300)/(-840)*16/(-20)) is divided by 1/(1 - 0) - -6?
6
Suppose -b = 7*b - 56. Let g be (-1)/1*3/15*0. Suppose g*z - 12*z = -324. What is the remainder when z is divided by b?
6
Suppose 288*q - 267*q = 9954. What is the remainder when q is divided by 158?
0
What is the remainder when 221108/28 - (-18)/63 is divided by 50?
47
Let t = -936 - -979. Calculate the remainder when t is divided by (1 + -7)/(3/(-12)).
19
Let p = 1113 - -168. Suppose 2*l - 6*l - 3*i = -p, 3*l - 957 = -i. What is the remainder when l is divided by 64?
62
Suppose 8*s + 12*s = -19*s + 819. What is the remainder when 316 is divided by s?
1
Calculate the remainder when 132 is divided by -5 + -4*(-2 + (-7 - -2) - 10).
6
Suppose -89*x + 91*x - 107 = -3*s, 176 = 5*s + x. Calculate the remainder when 230 is divided by s.
20
Let t = 99 + -80. Suppose -7*a - t = -54. Suppose k = o - 3*k - 16, 4*k = a*o - 48. What is the remainder when 18 is divided by o?
2
Let c = 15470 + -15361. What is the remainder when 18200 is divided by c?
106
Let h = -11774 - -13076. Calculate the remainder when h is divided by 87.
84
Suppose 0 = -26*z + 42*z - 48. Calculate the remainder when 82 is divided by z.
1
Let i(n) = 15*n - 40. Let h be i(-15). Let v = h + 302. Suppose 4 + 22 = 2*g. Calculate the remainder when v is divided by g.
11
Suppose -50*s + 185400 = 66*s + 4*s. Calculate the remainder when s is divided by 110.
5
Let c(h) = 15*h - 1. Suppose -m - 3*q = -3 + 1, 5*q = 3*m - 6. Suppose -j = 4*b - 82, -2*j - b + 79 + 22 = 0. Calculate the remainder when j is divided by c(m).
17
Let q = 121 + -114. Suppose q*z - 22 = 27. Calculate the remainder when 26 is divided by z.
5
Let w be (-8)/12 + 632/(-6). Let o(l) = -8*l + 47. Let c be o(-13). Let d = w + c. Calculate the remainder when 223 is divided by d.
43
Suppose 10*a - 172 - 682 = -4*a. Calculate the remainder when 182 is divided by a.
60
Let v = -29 - -11. Let z(r) = r**3 + 18*r**2 + 2*r + 40. Let s be z(v). Let x = 9 - s. What is the remainder when x is divided by 4?
1
Let y = -29628 + 29702. What is the remainder when 1496 is divided by y?
16
Let g be 1/(-4) - 30/8. Let b be -1 - 2 - 8/g. Calculate the remainder when (22 - b) + 1 + -2 + 3 is divided by 9.
7
Suppose -z + 0 + 9 = 0. Let h(s) be the second derivative of s**4/12 - s**3/6 + s**2 + s. Calculate the remainder when h(-4) is divided by z.
4
Let f(m) = 2*m**3 + 5*m**2 + 2*m - 11. Let g be f(-6). Let i = -220 - g. Calculate the remainder when 161 is divided by i.
51
Suppose -524 = 3*x + 2*x - r, 2*x = 2*r - 208. Let n(o) = -o**3 + 5*o**2. Calculate the remainder when (x/(-14))/15 - 422/(-4) is divided by n(3).
16
Suppose -942 = -4*s + 5*z, 6*s = 4*s + 3*z + 470. Let l = s + -210. What is the remainder when 82 is divided by l?
26
Suppose 5*o = -2*y + 6*y - 534, -o = -4*y + 526. Suppose -2*c = -5 + y. What is the remainder when (-774)/c - (-3)/(63/(-6)) is divided by 5?
2
Let f(c) = 25*c**2 + c - 43. Let o be f(-6). Let a = 872 - o. What is the remainder when (-207)/(-2) + 2/4 is divided by a?
20
Let f(t) = -t**3 + 9*t**2 - 7*t - 5. Let j be f(8). Suppose 4*h - 235 = c, h + 8 = j*c + 64. Calculate the remainder when 175 is divided by h.
57
Calculate the remainder when 45298/8 - (-6)/(-21)*(-28)/(-32) is divided by 177.
175
Let g(p) = 7*p - 89. Let i be g(14). Suppose -67 = -2*c - 5*u, -5*c + 127 = i*u - 10*u. Calculate the remainder when 48 is divided by c.
22
Suppose -127*v + 660 = -133*v. Let y = -98 - v. Calculate the remainder when 17 is divided by y.
5
Suppose 0 = -5*c + 3*s + 233, s = 15 - 16. What is the remainder when 917 is divided by c?
43
Suppose 892 + 229 = 26*f - 1011. Let t = -25 - -47. What is the remainder when f is divided by t?
16
Calculate the remainder when 492 is divided by 594/15 - (3 - 51/15).
12
Suppose 6*h + 6*h - 24 = 0. Let x = 84 + 33. What is the remainder when x is divided by -48*h/32*-4?
9
Let s = 7648 - 7639. Let k = 28 + 3. What is the remainder when k is divided by s?
4
Let l = 105 - 100. Suppose -a = -l*i - 4, -2*i + 3 = -i. Let k(h) = -3*h - 4. What is the remainder when a is divided by k(-3)?
4
Let l be 134 - (-2 - (-1 - 0)). Let z = l - -34. Let s(x) = 5*x - 2. What is the remainder when z is divided by s(9)?
40
Suppose -3 = -5*o + 4*o. Suppose 36 = 3*y + o*y. Suppose -491 = -y*b - 41. Calculate the remainder when b is divided by 20.
15
Suppose -7823 - 1117 = -10*f. Suppose 28*s = 338 + f. Calculate the remainder when s is divided by 9.
8
Suppose -21*m = 39*m + 103*m - 6357. Calculate the remainder when 87 is divided by m.
9
Let w(l) = l**2 - 7*l + 12. Let j be w(6). Suppose 12 = 3*m + j. Suppose -m*i - a = -36, 5*i + a = 37 + 47. Calculate the remainder when 29 is divided by i.
13
Let l(b) = b**2 - 12. Let h be l(4). Suppose -4*y - h*c = 12, -4*y - 11 = 3*c - 1. Calculate the remainder when -2 + -4 + 22 + y is divided by 3.
0
Let v = -59 + 97. Let s = v + -18. Calculate the remainder when 40 is divided by s.
0
Suppose f = 5*r - 167, -12*r + 10*r - 2*f + 74 = 0. What is the remainder when 176 is divided by r?
6
Let k be 8/((-8)/7) - 25. Let b = 20 - k. What is the remainder when 259 is divided by b?
51
Let k(a) be the third derivative of a**5/30 - a**4/24 - 17*a**3/6 + 6*a**2 + 3*a. Calculate the remainder when 195 is divided by k(6).
48
Suppose 0 = -j, n + 4*j + 0 - 44 = 10. Calculate the remainder when 464 is divided by n.
32
Let s be 71424/243 - (-2)/27. Suppose 0 = s*c - 299*c + 235. Let n(a) = 2*a**2 + a - 4. What is the remainder when c is divided by n(3)?
13
Suppose 30 = 4*s + 2*s. Suppose s*q = 78 - 8. Calculate the remainder when 39 is divided by q.
11
Let p = -5242 - -5347. What is the remainder when 278 is divided by p?
68
Let c = -291 - -159. Let g = -123 - c. Suppose 0 = -3*o - h + 107, -o - 4*o - 4*h + 183 = 0. Calculate the remainder when o is divided by g.
8
Let g = -447 - -558. Suppose 0 = -g*q + 113*q - 82. What is the remainder when 47 is divided by q?
6
Let q(z) = -4*z + 1 - 26*z**2 + 0*z + 27*z**2 + 3. Suppose c - 4 = -0*c. Calculate the remainder when 9 is divided by q(c).
1
Let t(i) = -29*i - 40. Let a be t(-2). Calculate the remainder when 437 is divided by 44/a*(-18)/(-4).
8
Suppose 0 = -8*l - 5*d + 863, l + 4*l - 580 = 5*d. Calculate the remainder when 1547 is divided by l.
104
Let u = 74 + -63. Suppose -u*y + 12*y = 4, -j - 3*y = -49. What is the remainder when 71 is divided by j?
34
Suppose 2*h = -2*o + 156, 0 = 3*h + 2*o + 2