alculate the remainder when s is divided by 20.
19
Suppose 133*g - 13668 = 11461 - 9302. Calculate the remainder when g is divided by 65.
54
Let o = -10 + -24. Suppose -2*x = -3*c - 84, 181 = 3*x + c + 44. Let q = o + x. Calculate the remainder when q is divided by 5.
1
Let m(k) = 66*k**2 - 31*k + 165. Calculate the remainder when m(5) is divided by 183.
13
Suppose -17*b = -4*b - 2184. What is the remainder when b is divided by 56?
0
Suppose 1784 = 2*b - 2*x, 4458 = 5*b - 27*x + 23*x. What is the remainder when b is divided by 16?
10
What is the remainder when (-408685)/(-30) + 16/((-576)/30) is divided by 104?
102
Let r = 7418 + -5626. Calculate the remainder when r is divided by 39.
37
Let j = -109 + 114. Suppose k + 65 = 5*a + j*k, 2*a = 5*k + 59. Suppose 5*n = 152 - a. What is the remainder when n is divided by 12?
3
Let r be 2226/(-273) + 4/26. Calculate the remainder when 63 is divided by (68/r)/((-2)/4).
12
Suppose 11 = a + u, -5*a + 4*u + 55 = u. Suppose 12 = -a*g + 14*g, -y + 85 = -4*g. What is the remainder when y is divided by 15?
11
Let j(i) = -4*i + 85. Let w be j(20). Calculate the remainder when 33*1 - (-3 + 0) is divided by w/(30/54) - -4.
10
Let q(j) = -6*j + 17. Let f(s) = -7*s + 17. Let t(y) = 3*f(y) - 4*q(y). Let i be t(10). Suppose 900 = -7*h + i*h. What is the remainder when h is divided by 51?
48
Suppose 0*t + 22 = 2*t. Suppose 267 = 5*v + 3*q, -63*q + 94 = 2*v - 65*q. What is the remainder when v is divided by t?
7
Let w(t) = -21*t - 408. Calculate the remainder when 1003 is divided by w(-29).
199
Let g = -533 - -578. Let n(l) = l**3 - 6*l**2 - 5*l + 2. Let c be n(10). Suppose c = 5*k - k. Calculate the remainder when k is divided by g.
43
Let r(x) = -x**2 + 58*x - 542. Calculate the remainder when 2965 is divided by r(13).
41
Let m(p) = p**3 + 9*p**2 - 59*p + 301. What is the remainder when m(6) is divided by 99?
91
Suppose -23*u + 1779 + 2545 = 0. What is the remainder when 346 is divided by u?
158
Let x(l) = 2*l**3 + 15*l**2 - 108*l + 256. What is the remainder when 10229 is divided by x(5)?
340
Suppose -323*i + 16 = -322*i. Calculate the remainder when 298 is divided by 17 - (-8 + i + -9).
10
Let o be (12/16)/1 - 7/4. Suppose -3*s + 62 = 4*t, s + 4*s + 3*t - 96 = 0. What is the remainder when o + (-2 - 4)*22/(-3) is divided by s?
7
Let d be 3 - ((-20)/28 + 2/(-7)). Calculate the remainder when (d/(96/(-54)))/(6/(-40)) is divided by 8.
7
Let b(w) = w**2 - 1. Let o(r) = 7*r**2 - 13*r + 25. Let s(a) = 6*b(a) - o(a). Let h be s(9). Calculate the remainder when 5856/30 - 1/h is divided by 49.
48
Let o(h) = -h**2 - 4*h + 12. Let j be o(-6). Suppose 56 = -j*g + 3*g + 2*i, -3*i = 4*g - 73. Let s = 729 - 716. What is the remainder when g is divided by s?
9
Let m = -365 + 406. Let u = -302 - -337. What is the remainder when m is divided by u?
6
What is the remainder when ((-29469)/836)/(-2 + (-74)/(-40)) is divided by 39?
1
Suppose 64*d = -21*d - 126*d + 326839. What is the remainder when d is divided by 41?
32
Let a = -19 + 0. Calculate the remainder when 47 is divided by a + 25 + (-1 - -1).
5
Suppose 190 = 24*g + 22. What is the remainder when 306 is divided by g?
5
What is the remainder when ((-60)/210)/(6/14) - 14811/(-9) is divided by 8?
5
Suppose 0 = -37*j - 183 + 516. Let a = 87 + 53. Calculate the remainder when a is divided by j.
5
Let s = -23 - -108. Calculate the remainder when s is divided by (-76)/(-7) + 12/(-840)*-10.
8
Let a be 2/(71/(-12) + 6). Suppose -4*h + a = -3*u - 67, 4*h - 4*u - 88 = 0. Calculate the remainder when 174 is divided by h.
24
Let k = 21 + -13. Let w(d) = d**3 - 12*d**2 + d - 4. Let y be w(6). Let h = y + 249. Calculate the remainder when h is divided by k.
3
Suppose 5*m - 15 = -5*x, -15*m + 10*m = -5*x - 35. Let q = -185 + 246. What is the remainder when q is divided by m?
1
Let d = 386 + -267. Let q(w) = -w**3 - 40*w**2 - 262*w - 18. What is the remainder when d is divided by q(-8)?
29
Suppose 49*j = 46*j. Suppose j = -14*z + 108 + 130. What is the remainder when 152 is divided by z?
16
Let t(z) = -z**3 - 6*z**2 - 7*z - 6. Let u be t(-7). Let q = -73 + u. What is the remainder when 42 is divided by q?
4
Let j(a) = 49*a + 1032. Calculate the remainder when 76 is divided by j(-21).
1
Calculate the remainder when (38/(-57))/(1*10/(-18705)) is divided by 52.
51
Let i(q) = 3*q**2 + 3*q + 13. Suppose 26*p - 10 = 24*p. Let m = p + -11. Calculate the remainder when i(m) is divided by 52.
51
Let t(k) = 10*k - 36. Suppose 7*m - 37 = 19. What is the remainder when t(m) is divided by 8?
4
What is the remainder when 616 is divided by (4 - 1489)/(-9) - 2 - 8?
151
Let t(c) = 2*c**3 + c**2 - 72*c - 41. Calculate the remainder when t(8) is divided by 128.
87
Suppose -3*b = 2*k - 92, -20 = 4*b - 12. Suppose 30 = 4*g - 74. What is the remainder when k is divided by g + 3 - 3 - 1?
24
Suppose 149*m + 173*m - 57638 = 0. What is the remainder when 594 is divided by m?
57
Let k(q) = -28*q + 8400. What is the remainder when k(80) is divided by 158?
156
Let f = -248348 - -248496. Suppose -m = m + 38. Calculate the remainder when f is divided by -2*m/3*3.
34
Let m(f) = -f**3 - f**2 + 129*f - 14. Calculate the remainder when 1028 is divided by m(9).
17
Suppose 21*j + 1663 = 3070. What is the remainder when 461 is divided by j?
59
Let s = -934 - -952. Suppose -18*t + s = -198. Calculate the remainder when 0 + (0 - (-84 - -1)) is divided by t.
11
Let p be (-4)/12 + (10/3 - -3). Let k(q) = q**3 - 6*q**2 - q + 12. Let u be k(p). Suppose n - u*n = -335. What is the remainder when n is divided by 35?
32
Let t = -3 - 3. Let w(s) = -s**3 - 17*s**2 + 6. Calculate the remainder when w(-17) is divided by 3 + (t + 2 - -3).
0
Let j(y) = y**2 - 23*y + 44. Let a be j(21). Suppose -a*g - 2*q + 246 = -6*q, -2*g - 2*q = -234. Calculate the remainder when g is divided by 4 + 50/2 + 2.
26
Let g = -1255 + 1316. Let w(t) = 24 - t + 6*t**2 + 7 - 2*t**2 - 3*t**2. What is the remainder when g is divided by w(0)?
30
Suppose -5*f = -5*y - 25280, -2084 = -f + 5*y + 2968. Calculate the remainder when f is divided by 110.
107
Suppose -2*j - 113 = -g, -996 = 2*g - 3*j - 1226. What is the remainder when g is divided by 77?
44
Suppose 3798 = 5*q + 4*w, 4*w - 753 = -q + w. Suppose -2*l - 4*u + 308 = 0, l - 2*u = 6*l - q. Calculate the remainder when l is divided by 1/(-4*4/(-496)).
28
Suppose -111*q + 241394 = -494314. Calculate the remainder when q is divided by 195.
193
Let x(o) = o**2 - 52*o - 1207. What is the remainder when 1811 is divided by x(-19)?
107
Suppose 18*x - 37*x + 1178 = 0. Suppose 70*g = x*g + 104. What is the remainder when 163 is divided by g?
7
Suppose 0 = 18*l - 23 - 117 - 4. What is the remainder when 2661 is divided by l?
5
Suppose -287 - 304 = -5*y + 784. Calculate the remainder when y is divided by 140.
135
Suppose 0 = q - 2. Calculate the remainder when 48 is divided by q/4*52 - (-2 + 0).
20
Let v(y) = -y**3 - 9*y**2 - 11*y - 8. What is the remainder when v(-9) is divided by 7/(-7) + 40 + 0 + -6?
25
Let u(f) = -f**2 + 15*f - 49. Let g = 116 + -55. Let o = g + -37. Calculate the remainder when o is divided by u(9).
4
Let d = 2607 - 2577. What is the remainder when 51 is divided by d?
21
Suppose -9*z - 4577 = 967. Let x = z + 647. What is the remainder when 52 is divided by x?
21
Let n = -4 - -7. Suppose -95 = -2*t - n*t + 5*s, -5*t + 3*s = -87. What is the remainder when 29512/744 - (-1)/3 is divided by t?
10
Suppose 264*r - 5213 - 13498 = -3135. What is the remainder when 359 is divided by r?
5
Let w(n) = -14*n + 51. Let o be w(-17). Suppose 0 = 21*u - 4*u - o. Calculate the remainder when 49 is divided by u.
15
Let c be (0 - 6) + (72/(-14))/(35/245). Let p(d) = -51*d**2 + 2*d + 1. Let x be p(-1). Let h = c - x. What is the remainder when 26 is divided by h?
6
Let k(z) = 1. Let g(p) = 11*p + 4. Let h be (4/(-2))/(4/10). Let a(m) = h*k(m) + g(m). Calculate the remainder when 26 is divided by a(1).
6
Let w be 2 + (-3915)/(-27) + (0 - 0). Suppose -5*n + 163 = 2*d, -5*n + d + w + 19 = 0. Calculate the remainder when n is divided by 6/27 - 212/(-18).
9
Suppose 3*l = -4*g + 631, -31*g + 4*l = -26*g - 812. Calculate the remainder when g is divided by 38.
8
Let k = 2909 + -2916. Let v(f) = -4*f**2 + 2*f + 4. Let n be v(3). Let