.
0
Let v(h) = -11*h - 63. Let o be v(-6). Suppose o*u - 2*u - 1 = 0, 5*u - 266 = -3*i. Calculate the remainder when i is divided by 8.
7
Suppose -4*h - 1400 = -29*h. Suppose 21*b - h*b + 420 = 0. Let n(z) = 2*z**2 - 5*z + 2. Calculate the remainder when b is divided by n(3).
2
Suppose -9*k - 729 = -1827. Calculate the remainder when 277 is divided by k.
33
Suppose -9*k + 10*k - 159 = 0. Let a = k - 244. Let b = a + 100. What is the remainder when b is divided by 8?
7
Suppose 27*u - 44 + 17 = 0. Suppose -2*a - 2*i = 12, a - 2*i = 4*a + 18. Let o = -5 - a. What is the remainder when u is divided by o?
0
Suppose 0 = -4*p - p + 20. Let x(t) = 5*t**2 + 97*t + 509. What is the remainder when x(0) is divided by p?
1
Suppose 19*a = 18*a - 73. Let k = a + 52. What is the remainder when 686/k*6/(-4) is divided by 10?
9
Suppose -11*u + 215 = -26*u + 1070. What is the remainder when 36821 is divided by u?
56
Let y = -8 - 100. Let f = 14 - y. Calculate the remainder when f is divided by 62.
60
Let j(z) = -20*z + 3. Let w be j(-1). Suppose -w*u = -4*b - 27*u + 104, -2*u - 64 = -2*b. Let k = -25 - -30. Calculate the remainder when b is divided by k.
4
Let j be (-3)/6 + (-629)/(-34). Let f(h) = -15*h + 287. Calculate the remainder when 150 is divided by f(j).
14
Suppose -28*f + 90 + 1435 = -1275. What is the remainder when 816 is divided by f?
16
Let n = -51 + 66. Suppose 4*k - d = 227, 2*k - d - 121 = 2*d. What is the remainder when k is divided by n?
11
Let f = 63 + -47. Calculate the remainder when -5 - -215 - (-3 + -3)/(-2) is divided by f.
15
Let x = -135 - -186. Suppose -28 = -3*s - s. Suppose s*w = 10*w - 39. Calculate the remainder when x is divided by w.
12
Suppose -5833*i - 3 = -5830*i, -4*i + 348 = 4*x. Calculate the remainder when x is divided by -2 - -1 - (-24 - 0).
19
Let f(v) = 146*v + 1818. What is the remainder when 781 is divided by f(-12)?
55
Suppose -56*w + 9*w + 2040 = -3036. Let o(s) = s**2 + s - 4. What is the remainder when w is divided by o(4)?
12
Suppose -232*v + 227910 = 239*v - 400*v. Calculate the remainder when v is divided by 51.
48
Suppose 257525 + 102542 = 92*p - 79785. Calculate the remainder when p is divided by 21.
14
Suppose -1206*z = -1057*z - 4917. What is the remainder when 358 is divided by z?
28
Suppose 3*a = -9, y + a - 20 = 20. Suppose -y*r = -56*r + 1014. Calculate the remainder when 153 is divided by r.
75
Let m(l) = 229*l - 822. What is the remainder when 2358 is divided by m(4)?
8
Let k = -320827 - -320953. Calculate the remainder when k is divided by ((-86)/6)/(1/(-3)).
40
Suppose -164*l - 1461 = -169*l - 4*g, 1497 = 5*l - 2*g. What is the remainder when l is divided by 25?
22
Let c(p) = 3*p**2 + 19*p + 5. Let j be c(-4). Let d = 56 + -28. Let h = j + d. What is the remainder when 9 is divided by h?
4
Let j be (3 - (-24)/(-9))*6. Suppose 379 = 3*r + 5*n, -7*n - 565 = -5*r - j*n. What is the remainder when r is divided by 1/(2*3/360)?
58
Let s(w) = 2*w**3 - 16*w**2 + 19*w + 12. Let o be s(6). Let i = 52 - o. Calculate the remainder when i is divided by 12.
10
Let w(i) = 8*i - 44. Suppose -39 = -5*y + 3*h, y - 38 = -3*y - h. Suppose -2 = -x + 3. Calculate the remainder when w(y) is divided by x.
3
Suppose -5*r + 20 = -10*r, -2 = -2*t - r. Calculate the remainder when -3*26/(10/t + -4) is divided by 3.
0
Let c(t) = 74*t - 1. Let m be c(2). Suppose -q + 31 = w + m, -5*w = -q - 104. Let f = -38 - q. Calculate the remainder when f is divided by 11.
10
Let j(t) = t**3 - t**2 + t - 7. Let h = -33230 - -33261. Calculate the remainder when j(6) is divided by h.
24
Calculate the remainder when 100/(-2)*10/(-5) is divided by (4/6)/((-2)/18) + (-72 - -105).
19
Let d(b) = 62*b + 39*b**2 + 81*b + 46 - 104*b - b**3. Calculate the remainder when 208 is divided by d(40).
4
Suppose -5*x + z - 169 + 664 = 0, 0 = 5*z - 25. Calculate the remainder when 292 is divided by x.
92
Let j = -234 - -286. What is the remainder when 353 is divided by j?
41
Let g = -525 - -535. Calculate the remainder when (-1*(-78 - 1))/(-9 + g) is divided by 9.
7
Let a(u) = u**3 - 7*u**2 - 32*u + 19. Let f be a(10). What is the remainder when 14 is divided by (-16)/(-1 + (2 + f - 2))?
6
Calculate the remainder when 1105 is divided by (81/(-36))/((-30)/(-16))*(-121 - 9).
13
Let r = -2247 + 2317. Suppose 5*u - 14 - 1 = 0, 3*b - 4*u - 105 = 0. Calculate the remainder when r is divided by b.
31
Let p = 74 + -36. Let n(m) = 11*m**2 - 8*m - 10. What is the remainder when n(3) is divided by p?
27
Let u(z) = 6*z**2 - 2*z - 2. Let c be 94080/343 + 1 + (-18)/14. Let f = -95 + c. What is the remainder when f is divided by u(-2)?
23
Let c = -163 - -163. Suppose c*h + 5*a = 5*h - 445, 3*h - 5*a = 267. Calculate the remainder when h is divided by 30.
29
Suppose -37*k = 7*k - 748. What is the remainder when k is divided by 10?
7
Let t(z) = -z**3 - 15*z**2 - 37*z - 3. Let q be t(-13). Suppose 14*w - q = 28. What is the remainder when 249 is divided by w?
9
Let d(v) = -v - 20. Let g(x) = -2*x - 20. Let t = -109 + 103. Let h(j) = t*g(j) + 5*d(j). Calculate the remainder when 135 is divided by h(2).
33
Suppose -4*g + 942 = 43*l - 38*l, -l + 5*g = -171. What is the remainder when 290 is divided by l?
104
Let i be (-10)/(-20)*0/(-1). Suppose 3*s - 5*s - 5*c + 487 = 0, 3*c + 3 = i. What is the remainder when s is divided by 31?
29
Let g(a) = 86*a**3 + a**2 - 2*a + 1. Suppose -4*r + 8 = 4*q - 4, 2*q = -r - 2. Calculate the remainder when g(1) is divided by r - 11 - 66/(-2 + 0).
26
Suppose 6 = -n - 0*q + 3*q, -3*n = -3*q. Suppose 0 = -n*i - i + 76. Let h(z) = -8*z**2 + 162*z + 14. What is the remainder when h(20) is divided by i?
16
Suppose 3*y - 4*y + 37 = 2*z, 2*z + 3*y - 39 = 0. Let u(f) = 186*f - 2579. Calculate the remainder when u(14) is divided by z.
7
Let c(m) = -43*m - 1581. What is the remainder when 78 is divided by c(-37)?
8
Let j be 1*(-6 + -186)/(-6). Suppose -5*y = 3*y - j. What is the remainder when (-4)/(-16) - (-69)/12 is divided by y?
2
Let f = -19 + 31. Let l be (5/(-2) + 2)*(-18 + f). Suppose -l*h + 0 = -d + 26, 0 = -2*d - 4*h + 2. Calculate the remainder when 32 is divided by d.
10
Suppose -m = -3*g + 130, 3*m = 2*g + 5*m - 76. Calculate the remainder when 106 is divided by g/(-24) + (-151)/(-4).
34
Let h(t) = -t**3 - 21*t**2 - 111*t + 3. What is the remainder when 1125 is divided by h(-13)?
91
Suppose -5*l = -3*p + 115 + 32, 2*p = -l + 85. What is the remainder when 5184 is divided by p?
36
Let u(a) = 44*a**3 - 4*a**2 + 19*a - 13. What is the remainder when 385 is divided by u(2)?
24
Let q(m) = 7*m + 52. Let h be q(-7). Suppose -h*n + n = -32. Calculate the remainder when 77 is divided by n.
13
Suppose 2*o - 3 - 5 = 3*c, -4*c + 2*o - 8 = 0. Suppose 12*w - 8*w - 24 = c. What is the remainder when 58 is divided by w?
4
Suppose -17*w - 3 = -u - 13*w, 5*u + w - 120 = 0. Calculate the remainder when -12 + (-1760)/(-144) + (-1796)/(-18) is divided by u.
8
Let w = 22 - -147. Let g(a) = -6*a**2 - 105*a - 47. Calculate the remainder when w is divided by g(-17).
1
Suppose 0 = 2018*k - 1959*k - 5310. Let r = 14 - 10. Suppose v = r*n + 19, 6 + 107 = 5*v - 2*n. What is the remainder when k is divided by v?
21
Suppose -10 = 2*y, 3*y + 355 = -s + 6*s + 8*y. Suppose -3*n + 6*x = 4*x - 673, 20 = 5*x. Calculate the remainder when n is divided by s.
75
Let n = 174 + -171. Suppose 112 = 6*f - 3*f + 5*q, -n*q - 3 = 0. What is the remainder when f is divided by 10?
9
Suppose 28*o = 21*o + 231. Suppose -63*h + 220 = -53*h. Calculate the remainder when o is divided by h.
11
Suppose -2*i + 4*f + 12 = 0, -4*f = 4*i - 4 - 80. Calculate the remainder when 3818 is divided by i.
10
Let k(a) = a**3 - 4*a**2 + 10*a + 22. Let g be k(-6). Let b = g + 444. Suppose -2*i + 60 = 3*i. What is the remainder when b is divided by i?
10
Let t = 41 + 192. Calculate the remainder when t is divided by (11 - (-330)/42) + (15 - 222/14).
17
Let u = 78 + 63. Suppose -137*d - 36 = -u*d. What is the remainder when 149 is divided by d?
5
Let s(u) = -u**2 - 15*u - 26. Calculate the remainder when s(-6) is divided by 12.
4
Let c(k) = -87*k**3 + 3*k**2 + 30*k + 28. Calculate the remainder when 8355 is divided by c(-1).
83
Suppose 4*o = 170*o - 11786. What is the remainder when 108 is divided by o?
37
Suppose