 What is the remainder when q is divided by 19?
16
Suppose 68*s = -16*s + 9072. What is the remainder when s is divided by (-70)/4*72/(-21)?
48
Let q = -18 - 90. Let j = -93 - q. What is the remainder when 32 is divided by j?
2
Suppose 403 = 3*f - 107. Suppose -108*y + 14965 = 8809. Calculate the remainder when f is divided by y.
56
Calculate the remainder when (-16017)/(-12) + (-52)/(-208) is divided by 133.
5
Let x = -4715 + 4792. Calculate the remainder when 138 is divided by x.
61
Calculate the remainder when 2078 is divided by (-180)/(-25)*770/56.
98
Suppose -127 = -4*a + 325. Let j = a + -62. Suppose -4*x - 4*g + j = -7*g, -4*x - g = -47. Calculate the remainder when 20 is divided by x.
8
Let x = 422 - 382. Suppose -5*v - a + 148 = 0, 5*v - v - 5*a = 101. Calculate the remainder when x is divided by v.
11
Let p = 14 - 10. Suppose p*u = -4*u + 168. Calculate the remainder when u is divided by -3*(-1)/(-1) + 14.
10
What is the remainder when (117/(-18)*(62 + -18)/(-22))/(2/6) is divided by (-110)/(-4) + (-2)/(-4)?
11
Let u(v) = -10 - 5*v - 3*v - 4*v + 3 - 30. Let p = -3 + -9. Calculate the remainder when u(p) is divided by 22.
19
What is the remainder when 18 is divided by 23/7 + (-2895)/(-4053)?
2
Suppose 6*z = 8*z - 698. Let g(r) = 7*r**2 - 15*r + 27. Calculate the remainder when z is divided by g(2).
24
Suppose 1452 = -88*x + 90*x. Suppose 162*n = 173*n - x. Let z = 39 - 16. What is the remainder when n is divided by z?
20
Suppose 0 = -3*g - 3, 4*l - 103 = -4*g + 5. Suppose 11*k - 47 = 767. What is the remainder when k is divided by l?
18
Suppose -11775 - 41985 = -18*u + 37230. What is the remainder when u is divided by 18?
15
Let v(u) = u**2 - 7*u - 10. Let y be v(-3). Suppose 8 = -6*x + y. Suppose x*s + 0*s = 3*d + 33, s = 4*d + 24. What is the remainder when s is divided by 7?
5
Suppose 84 = 883*g - 871*g. Calculate the remainder when 1069 is divided by g.
5
Suppose -3*x + 4*x = -3*i + 23, i = -x + 7. Let d(p) = -p**2 + 12*p - 12. Let h = -98 + 174. What is the remainder when h is divided by d(i)?
16
Suppose 46283 = 3885*j - 3854*j. What is the remainder when j is divided by 9?
8
Let f(k) = -18*k + 3. Suppose -794 = -2*x + 106. Suppose 7*a = a + x. What is the remainder when a is divided by f(-2)?
36
Suppose -34*h = -29*h - 3*b - 4220, -h = -4*b - 861. What is the remainder when h is divided by 273?
22
Calculate the remainder when 868 is divided by 76/3*-1*10/((-280)/42).
32
Suppose -688*i + 609*i + 4898 = 0. Calculate the remainder when i is divided by 9.
8
Suppose 8*s - 520 - 744 = 0. What is the remainder when 7581 is divided by s?
155
Let p(x) = x**2 + 2. Let r be p(-6). Suppose f + 5*j - r = 0, j + 0 - 4 = 0. Calculate the remainder when f is divided by (-48)/(-15) - 80/(-100).
2
Let s = 372 - 265. What is the remainder when s is divided by (-3956)/(-215) - 4/10?
17
Let j(l) = 0 + l + 40 - 24. Suppose 4*r + r = 3*i + 407, -3*i = 3*r - 225. Calculate the remainder when r is divided by j(0).
15
Let x = -20638 - -20681. Calculate the remainder when 2000 is divided by x.
22
Suppose 0 = 3*g, 5*c - 5*g = 1013 - 263. Calculate the remainder when 108 is divided by ((-4)/15)/(-2) + 1630/c.
9
Let x be 8 + (-4)/((-28)/(-35)). Calculate the remainder when ((-11)/(-5) - x)/(16/(-1880)) is divided by 41.
12
Suppose -5*o = -0*o + 100. Let a be o - 0 - (19 + -19). Let p = a + 74. What is the remainder when p is divided by 14?
12
Suppose 0 = -4*w + 7*w - 27. Let l be (3 - 0)*507/w. Let a = l + -147. Calculate the remainder when a is divided by 18.
4
Let a(h) be the first derivative of h**3/3 + 3*h**2/2 + 2*h - 2. What is the remainder when a(-5) is divided by (2/6 + (-220)/264)/(1/(-14))?
5
Let s be 124/(-44) - -3 - (-300)/44. Suppose 0 = -r - 7 + s. Suppose -5*o + 8*o - 351 = r. Calculate the remainder when o is divided by 30.
27
Let s(m) = -m**3 + 28*m**2 + m + 165. Calculate the remainder when s(28) is divided by 38.
3
Suppose 0 = 3*a, 6*o = 2*o - 4*a + 1544. Suppose -10*z + 11*z + o = 4*s, 0 = 4*s - 2*z - 384. Calculate the remainder when s is divided by 20.
17
Suppose -336 = -9*p + 42. What is the remainder when 542 is divided by p?
38
Let d(s) = 2*s**2 - s + 7. Suppose 0 = -g + 4, 2*r - 331 = -3*g - 279. What is the remainder when d(6) is divided by r?
13
Let r = -32661 + 32679. Calculate the remainder when r is divided by 12 - 3/(6/4).
8
Let w(i) = 37*i**3 - 5*i**2 - 24*i + 62. What is the remainder when w(2) is divided by 80?
50
Suppose -25*d + 22*d = -4*t - 27990, 0 = d + 2*t - 9310. Calculate the remainder when d is divided by 333.
331
Suppose 662*r - 648*r - 8406 = 1590. What is the remainder when r is divided by 176?
10
Let f(g) = 3*g**2 - 4*g + 17. Let p(q) = q**2 - 1. Let n(t) = -f(t) + 4*p(t). Let r be n(0). What is the remainder when -5*(2*r - 1) is divided by 36?
35
Suppose -986 = -27*l + 2*l + 8*l. Suppose 5*m + g - 87 = 0, -3*m + 6 = 3*g - 39. Calculate the remainder when l is divided by m.
4
Let f(h) = -5*h + 4. Let o be f(-1). Suppose o*t - 390 = -4*t. Calculate the remainder when 117 is divided by t.
27
Suppose 381 = -13*o + 25*o + 3*p, -5*p - 45 = 0. Suppose 4*m - 245 = 5*r, -4*m + 3*r + 230 = r. Calculate the remainder when m is divided by o.
21
Let v(l) = -5*l + 47. Let h(f) = -f + 1. Let t(o) = -3*h(o) + v(o). Calculate the remainder when 117 is divided by t(10).
21
Suppose 4*z - 2000 = -3*n - n, 0 = -3*z - 9. Let r(q) = 100*q**2 - 1191*q - 36. Calculate the remainder when n is divided by r(12).
71
Suppose 0 = 6*a - 240 - 120. Let t = a + -55. Suppose -6 = -t*v + 19. What is the remainder when 8 is divided by v?
3
Let a(b) = -10*b. Let y be 2432/10 - (124/20 + -6). Calculate the remainder when -4 + (-4)/((-12)/y) is divided by a(-2).
17
What is the remainder when 119 is divided by 2/(-3) + 8000/300?
15
Let c = 48 - 45. Let r be (-2 - -7)*c/5. Suppose t + r*d = -3*t + 109, -4*t + d + 113 = 0. What is the remainder when t is divided by 11?
6
Let p(b) = -b**3 - 6*b**2 - 61*b - 253. Calculate the remainder when (1/(-2))/((-2)/212) is divided by p(-5).
26
Let k = 5157 - 4962. What is the remainder when 3506 is divided by k?
191
Suppose -3*m + 5*q - 27 = 0, -14*m + 16*m + q = -5. What is the remainder when 1 + m + -436*(-6)/24 is divided by 9?
7
What is the remainder when 206 + 16 + (3 - 8) is divided by 35?
7
Calculate the remainder when (-2)/(-16) - ((-617295)/40)/21 is divided by 53.
46
Suppose 2*u + 4*b = 500 + 46, 1052 = 4*u - 2*b. Let w = -17 - -20. Suppose -8*x = -w*x - u. Calculate the remainder when x is divided by 14.
11
Let t(d) = d**3 - 7*d**2 - 15*d. Let w be t(12). Let m = -539 + w. What is the remainder when 41 is divided by m?
0
Suppose 130 = 6*x + 46. Suppose 0 = 3*b - 2*i - 1, -2*b + 4*i - x = -i. What is the remainder when b is divided by 2?
1
Let w(o) = 63*o + 18. Let x be w(8). Let g = 578 - x. What is the remainder when 56 is divided by g?
0
Let n(c) = 242*c - 1676. Calculate the remainder when 633 is divided by n(7).
3
Let u(a) = -46 - 19 + 6*a - 42. Calculate the remainder when u(21) is divided by 18.
1
Let a(h) = -h**2 + 23*h + 45. Let f(t) = -t + 18. What is the remainder when a(21) is divided by f(5)?
9
Suppose -4*i = -3*v - 171 + 139, 0 = v. What is the remainder when 9710 is divided by i?
6
Suppose -24650 = -189*k + 172*k. What is the remainder when k is divided by 359?
14
Suppose -88*i - 968 = -96*i. Suppose 2*z = -t + 22, -4*t - 7*z + i = -10*z. Calculate the remainder when 34 is divided by t.
6
Let b(k) = 2*k**3 + 18*k**2 + 10*k + 12. Let l be b(-8). Suppose p + 22 = 4*g - l, -4*g - p = -86. Calculate the remainder when 272 is divided by g.
20
Suppose -11*i - 12299 = -4*r, -6*i + i + 3129 = r. What is the remainder when r is divided by 72?
70
Let o(y) = 36*y + 398. Let q(h) = 2*h**2 + 19*h - 8. What is the remainder when q(-14) is divided by o(-10)?
4
Suppose -4*l + 5*q = q - 12, -1 = -2*l - 3*q. Let n be (2 - -16)/l - -1. Suppose -3*y = -n*y + 224. What is the remainder when 61 is divided by y?
29
Suppose -2*n = 2*n - 104. Let x = 23965 + -23654. What is the remainder when x is divided by n?
25
Let q = -195 + 199. Suppose 3*d - 3*f = 204, 169 = q*d - f - 106. Calculate the remainder when d is divided by (-104)/(-10) - (-4)/(-10).
9
Let j be 33 + -4*(-1)/2. What is the remainder when 5/j -