?
9
Suppose 147*c = 180*c - 462. What is the remainder when 458 is divided by c?
10
Suppose 3*f = 0, -111*f + 107*f - 1616 = -4*q. What is the remainder when 407 is divided by q?
3
Let w = 1022 + -795. Calculate the remainder when 1314 is divided by w.
179
Calculate the remainder when 187 is divided by 11 + (-6 - -2) - (-1 - (119 - -4)).
56
Let g = 75 - 150. Let n = 147 - g. Calculate the remainder when n is divided by 32.
30
Suppose -60965 = -57*c - 4193. What is the remainder when c is divided by 37?
34
Let j(l) = 35*l**2 - 27*l + 77. Suppose 19*q - 10*q - 27 = 0. What is the remainder when j(q) is divided by 45?
41
Suppose 18*x - 3742 - 4188 = -47*x. Calculate the remainder when 137 is divided by x.
15
Let g(h) = 3*h**2 - 16*h - 3. Let c be g(5). What is the remainder when 46 is divided by (-5 + -1)*-2 - (c + 12)?
6
Suppose -6*l - 2*h + 1420 + 1770 = 0, -2*l + 1050 = -2*h. Calculate the remainder when l is divided by 89.
85
Suppose 15 = v + 2*v, c = v + 25. Let r = 1384 + -1372. Calculate the remainder when c is divided by r.
6
Let s = -287 - -327. Suppose 2*n = 2*z - s, -10*n + 26 = z - 8*n. What is the remainder when z is divided by 8?
6
Suppose -k + n + 532 = 0, 263*k = 266*k - 2*n - 1601. Let p(t) = -t**2 - 13*t - 10. Calculate the remainder when k is divided by p(-10).
17
Let v = 121 - 105. Suppose -14*y - 12 = -v*y. Let a = -15 - -19. What is the remainder when y is divided by a?
2
Calculate the remainder when (9 + -10)/(8/(-384)) is divided by 27.
21
Suppose -11 = -h - q, -54 = -68*h + 64*h + q. What is the remainder when 5831 is divided by h?
7
Let b(f) = f**2 - 5*f - 23. Suppose 0 = -46*v + 53*v - 35. What is the remainder when b(-5) is divided by v?
2
What is the remainder when 520 is divided by 127 - ((-60)/5 + -7)?
82
Let a(q) = 6*q + 58. Let w be a(-13). Calculate the remainder when 54 is divided by (276/w - -9)/(4/(-10)).
6
Let o = 4006 - 3872. What is the remainder when o is divided by 30?
14
Suppose -p - 16 = -3*q - 28, -5*p - 16 = 4*q. Suppose p = 14*o - 74 - 192. What is the remainder when 65 is divided by o?
8
Let f = 21221 - 19675. Calculate the remainder when f is divided by 22.
6
Suppose 26 = -2*q + 22, 432 = 2*f + q. What is the remainder when f is divided by 70?
7
Let s(t) = -120*t + 32. Let x be s(-4). Suppose 2*r - 205 = q, -2*q - x = -5*r + q. Let g = 117 - r. Calculate the remainder when 52 is divided by g.
10
Let b = 1882 - 1732. What is the remainder when 236 is divided by b?
86
Let s be (-1)/(2/1)*0. Suppose -3*x + 24 + 3 = s. Suppose -253 = -20*k + 247. Calculate the remainder when k is divided by x.
7
Let k(s) = -20*s + 7. Let j(t) = t - 2. Let d(c) = 6*j(c) + 2*k(c). Let i be 0 + (0 - (2 + -1)). Calculate the remainder when 69 is divided by d(i).
33
Let q be (-3 - -5 - -149)*(24 - 21). Suppose 8*f - q = -213. What is the remainder when 57 is divided by f?
27
Suppose x = 5*h - 13, h - 6*x + x + 7 = 0. Suppose 1049 = 4*u - h*t, 2*u + 4*t = 6*t + 524. What is the remainder when u is divided by 38?
35
Let z = 88 - 62. Suppose -4*i - 5*o - 7 = -i, 0 = -i + 4*o + z. What is the remainder when ((-104)/12)/((416/39)/(-16)) is divided by i?
1
Let l(i) = 5*i**2 + 2*i + 2. Let x be l(-1). Suppose x*o + 4*f - 3 = 1, 0 = 4*o + f - 12. What is the remainder when (-2)/8 - (-77)/o is divided by 10?
9
What is the remainder when 717 is divided by (-824)/(-22) + (-90)/(-165)?
33
Let c = -988 + 1383. What is the remainder when 5 + -2 + c + 6 is divided by 15?
14
Suppose 7*z - 76 = -4*z + 133. Calculate the remainder when 157 is divided by z.
5
Let j(u) = 2*u + 2*u**2 - 2*u - 7 + 7*u - u. Calculate the remainder when (-6)/20*2 + 452*6/120 is divided by j(-5).
9
Suppose 33*r = -87*r - 3*r + 26076. What is the remainder when r is divided by 130?
82
Suppose -2*m - 3*q = -94, -411*m - 4*q + 37 = -410*m. Calculate the remainder when 363 is divided by m.
45
Suppose 0 = -40*k + 31*k + 54. Let j(t) = 4*t + 1. Calculate the remainder when k is divided by j(1).
1
Let v(j) = 3*j**2 + 83*j + 59. What is the remainder when v(-27) is divided by 2?
1
Let n = 10473 - 10445. Let v be (166/6)/((-2)/(-6)). Let m = v + 0. What is the remainder when m is divided by n?
27
Suppose -2*f - 2*j + 144 = 0, 9*f - 5*j + 92 = 10*f. Calculate the remainder when 116 is divided by f/2 + (-55)/110.
17
Suppose 0 = q - 2*a - 91, -q - 4*q = 5*a - 530. Let k(d) = 12*d**2 + 9*d + 3. Let w be k(-3). Let m = q - w. What is the remainder when 134 is divided by m?
15
Suppose 303*d - 263*d = 5000. What is the remainder when d is divided by 29?
9
What is the remainder when 3040 is divided by (-3)/(-2) + (39/26)/((-15)/(-155))?
14
Let o(z) = z**2 + 24*z + 53. Let n be o(-3). Let p(c) = 23*c + 251. What is the remainder when (-57)/(2/4*-2) is divided by p(n)?
15
Suppose -92*l = 2*u - 97*l - 37, 3*u - 88 = l. What is the remainder when 8399 is divided by u?
29
Let w be (-3)/((-18)/1466) - 4/(-6). Suppose -11*s + w = -6*s. Suppose b = -3*u + s + 7, 4*b - 72 = -4*u. What is the remainder when u is divided by 7?
5
Suppose 4*q - 152 - 40 = 0. Let x(d) = 26*d - 116. What is the remainder when q is divided by x(5)?
6
Calculate the remainder when 209 is divided by (-9)/36 + ((-27)/(-4))/3 + 78.
49
What is the remainder when 2254 is divided by -61*6/8*88/(-66)?
58
Let t(n) = -n**3 + 6*n**2 - 47*n + 170. Calculate the remainder when 709 is divided by t(4).
9
Suppose -4*h - u + 567 = 79, 2*u - 8 = 0. Suppose -3*q + h = -14. Let n = -36 + q. What is the remainder when 21 is divided by n?
3
Calculate the remainder when 1348 is divided by ((-7659)/92)/((-3)/16) + -2 + -1.
25
Calculate the remainder when 0 + (-2)/(-15) + 158301/405 is divided by 47.
15
Let v = 199 - 77. Let y be 2 - (-395)/10*2. Let p = y + -50. What is the remainder when v is divided by p?
29
Let u(x) = x**2 - 22*x + 187. Let y = 680 + -499. What is the remainder when y is divided by u(6)?
90
Suppose 30*w = 96*w + 114*w - 7020. Calculate the remainder when 52 is divided by w.
13
What is the remainder when 600 is divided by (-10302)/(-153) - (-4)/(-12)?
64
Suppose -7*y + o + 2 + 109 = 0, -2*y = 2*o - 18. What is the remainder when 3207 is divided by y?
12
Suppose 64*s + 165 = 69*s. Let y(i) = i**3 - 9*i**2 + 4*i + 19. Let z be y(8). Let h = s - z. What is the remainder when h is divided by 25?
21
Suppose 38*c + 40 = i + 37*c, -2*i + 108 = 2*c. Calculate the remainder when 252 is divided by i.
17
Suppose 734 = 13*u - 2*u - 9*u. Calculate the remainder when 1106 is divided by u.
5
Let c = -1 + 3. Suppose 2*o - 29 = -4*s + 117, -2*s - 2*o + 76 = 0. Let t = s - 28. What is the remainder when t is divided by c?
1
Suppose 962 = 3*p - 208. Calculate the remainder when 804 is divided by p.
24
Let h(n) = 37*n**2 - 71*n + 16. What is the remainder when h(6) is divided by 154?
152
Let w = -4615 - -4690. Calculate the remainder when 3597 is divided by w.
72
Suppose 3*x = -3*f + 201, -3*f + 0*x + 225 = -5*x. Calculate the remainder when f is divided by 18.
16
Let a(k) = 5*k**2 + 3*k - 4. Let c be a(2). Let y = c - 3. Calculate the remainder when 2/10 + (-1056)/(-20) - -1 is divided by y.
16
Let x be (31 - -1)*1*(-5)/(-2). Suppose 5*i - x = -5*b, b + 30 = 2*i + 13. What is the remainder when 72 is divided by i?
6
Suppose -3*t = -0*t - 501. Let c = t + -117. Calculate the remainder when c is divided by (4/14)/((-12)/(-21))*26.
11
Let n(u) = u**2 - 16*u + 53. Let j be n(4). Suppose 0*y + 1092 = j*m - y, 222 = m + y. What is the remainder when m is divided by 37?
34
Let r(m) = 4*m**2 + 7*m + 47. Suppose -3*a - 18 = 3*n, -33 = 4*a + 5*n - 4*n. Calculate the remainder when r(a) is divided by 39.
35
Let n(j) = -j**2 + 18*j + 8. Let v(m) = 41*m - 3 - 13*m + 0 + 2. Calculate the remainder when v(1) is divided by n(0).
3
Let a(u) = -u**2 - 59*u + 227. Calculate the remainder when a(-60) is divided by 48.
23
Let d = -200 - -201. What is the remainder when 103 is divided by (-4)/d - (-520)/40?
4
Let y = 16384 - 16318. Calculate the remainder when 340 is divided by y.
10
Suppose 5 = -4*h + 29. Let r(j) = j**3 - 10*j**2 + 13*j - 3. Let i be r(h). Let m = 82 + i. Calculate the remainder when 32 is divided by m.
6
Let u(y) = -y**3 + 4*y**2 + 19*y - 38. Let j be u(6). Suppose -i = 4*i - 10. Suppose r - j = -i. What is the remainder when r is divi