 Suppose -40*y + 55*y - f = 0. What is the remainder when y is divided by 46?
39
Suppose 0 = -3*n + 33. What is the remainder when 223 is divided by n?
3
What is the remainder when 798 is divided by 12004/52 + (-76)/(-494)?
105
Let j(q) = q**2 + 36*q + 169. Suppose -2*v - 32 = 4*m + 100, -3*m + 4*v = 110. Suppose 4*w - w - 78 = 0. What is the remainder when j(m) is divided by w?
23
Let x = -30 + 87. Let p(h) = 13*h**2 + 49*h - 4. Let b be p(-4). Suppose b*i = 328 - 88. Calculate the remainder when x is divided by i.
27
Let s be 12/18 - 1214/(-6). Suppose -2*y - s = -617. Calculate the remainder when y is divided by 35.
32
Let y(s) = -7*s + 11. Let x(f) = 6*f - 10. Let i(p) = -2*x(p) - 3*y(p). Suppose 2*c - 46 - 182 = 0. Calculate the remainder when c is divided by i(4).
22
Suppose 5*z - 1714 = -2*h, 3*z - 434 - 588 = 2*h. What is the remainder when z is divided by 61?
37
Suppose 0 = 7*w - 6 - 8. Suppose 4*j + 5*y = 49, -4*y + 10 = -w*y. Calculate the remainder when (-7)/((1 - 3)/2) is divided by j.
1
Suppose 5*q = 89 + 71. Suppose 10 = -10*k + 6*k - 2*d, 5*k - 3*d = 15. Suppose k = 2*g - 2*y - 22, 3*y + 10 = y. Calculate the remainder when q is divided by g.
2
Let z = -286 - -402. Suppose -z = 10*n - 12*n. Calculate the remainder when (n + (-3 - -1))*1 - 4 is divided by 18.
16
Let h(f) = 7*f - 37. Let u be 3/1 + 18/6. Let j be u/((-5)/(30/(-4))). What is the remainder when h(j) is divided by 18?
8
Suppose -q = 3*v - 454 - 310, -3*q = 2*v - 500. What is the remainder when v is divided by 59?
20
Let f = 147 + -36. Let p be (-12)/12 + (9 + -2)/1. Suppose -5*b + f = p. Calculate the remainder when b is divided by 6.
3
Let y(x) = 1 - 1 + 8*x**3 - 2*x + 3. Suppose -t + 5*g - 2 + 9 = 0, g = -3*t + 5. What is the remainder when y(t) is divided by 13?
11
Suppose 22*q = 19*q + 60. Suppose -7*t + 13 = -8. Let i = q - t. What is the remainder when 46 is divided by i?
12
Let t(r) = 2*r**3 - 41*r**2 + 22*r - 35. Let q be t(20). Suppose -4*a = -q*m - 82, -3*a + 2*m - 5 = -70. What is the remainder when 206 is divided by a?
22
Let n = -8 - -19. Let j(h) = h**3 + 5*h**2 + 13*h + 3. Let i be j(-5). Let g = 91 + i. What is the remainder when g is divided by n?
7
Suppose 0 = 16*c - 45*c - 2030. Calculate the remainder when 14 is divided by (7/(-4))/(c/560).
0
Let d(h) = 2*h**2 + 1. Let a be d(-1). Suppose -3*m - 3*k = -k + 22, 2*m + 18 = -a*k. Calculate the remainder when 6 is divided by (-5 - -2)*8/m.
2
Suppose 150 = -126*o + 127*o - 4*n, 2*o - 5*n - 297 = 0. Suppose 0 = -2*x + 15 + 27. What is the remainder when o is divided by x?
20
Let t = 68 + -246. Let b = 267 + t. Calculate the remainder when b is divided by 25.
14
Suppose 2*z + 4 - 244 = -2*x, -4*x + 417 = -5*z. What is the remainder when x is divided by 14?
1
Suppose -4*w - 23 = 33. Let s(j) = -2*j - 28. Let a be s(w). Suppose a = -7*y + 219 - 16. What is the remainder when y is divided by 8?
5
Let c = 118 + -60. Calculate the remainder when 5180/24 + 6 - (427/(-42) - -10) is divided by c.
48
Suppose -480*a + 3*c + 44 = -475*a, -3*a - 5*c = -40. Let h be 2/9 + 68/18. Suppose d + 1 - h = 0. Calculate the remainder when a is divided by d.
1
Suppose 5*b - 2*v = -25, -4 - 6 = 2*v. Let a(h) = h**3 + 7*h**2 + 22. Calculate the remainder when a(b) is divided by 2.
0
Let x = -4967 - -5008. Calculate the remainder when 115 is divided by x.
33
Calculate the remainder when 131 is divided by 52381/490 + 1/10.
24
Calculate the remainder when (-1 + 3 - -317) + 0/2 is divided by 57.
34
Suppose -37*m - 1877 + 4837 = 0. What is the remainder when m is divided by 58?
22
Let t = 2140 - 1982. Suppose 9 = 3*n - 3, 3*f - 3*n - 147 = 0. Calculate the remainder when t is divided by f.
52
Let c = -36 - -61. Let w(m) = -148*m - 2097. Calculate the remainder when w(-15) is divided by c.
23
Let i = 10181 + -9583. Calculate the remainder when 634 is divided by i.
36
Let h = 4714 - 4687. What is the remainder when 4802 is divided by h?
23
Suppose 4*d + 5*w = 693, d = 3*w - 0*w + 169. Suppose 74 + d = 6*f. What is the remainder when f is divided by 15?
11
Suppose 40*t - 45*t - 17*t = -3872. What is the remainder when 1056 is divided by t?
0
Suppose 0 = y + 3*o + 8, -4*o - 4 = 3*y - 0. Suppose -2*d + 2*v + 2*v - 24 = 0, y*d - 2*v = -60. Let n = d - -22. What is the remainder when 22 is divided by n?
4
Suppose 0 = -z + 3, 0 = 4*l + 2*z - 4*z - 2. Suppose j + 49 = q + q, 5*q = l*j + 120. What is the remainder when 108 is divided by q?
20
Calculate the remainder when 23933 is divided by (10200/375)/(2/20).
269
Let g(n) = -2*n**2 - 7*n + 10. Let b be g(-8). Let z = b + 64. Suppose 0 = -z*w + w + 36. Calculate the remainder when w is divided by 19.
17
Suppose -6*o = -5*o - 528. Suppose 3*l - o = -l. What is the remainder when l is divided by 69?
63
Let b = 4466 + 1902. What is the remainder when b is divided by 11?
10
Calculate the remainder when (1*(-4)/(-3))/(1282/1017267) is divided by 148.
22
Let l = -3033 - -3053. Calculate the remainder when 1157 is divided by l.
17
Let c(b) = -3*b**2 + 21*b + 1500. What is the remainder when c(24) is divided by 91?
3
Let z be (126/8)/(-8*18/(-768)). Let b = z - 82. Calculate the remainder when 10 is divided by b.
0
Suppose 0 = -4*s + 2*o - 3*o - 30, o = 2*s + 18. Let m(v) = -v + 43. Calculate the remainder when m(s) is divided by 28.
23
Suppose 335 = 4*v - 5*c - 7, v + 5*c = 73. Let u(r) = -5*r + 14. What is the remainder when v is divided by u(0)?
13
Suppose 5*x - 102 = -27. Let w = -264 - -268. Suppose -w*t + 136 = -268. What is the remainder when t is divided by x?
11
Let x(n) be the second derivative of -n**4/12 - 5*n**3/3 - 7*n**2/2 - 2*n. Let a = 2850 + -2842. Calculate the remainder when a is divided by x(-9).
0
Let n(j) = 6*j**2 - 7*j - 16. Let p be n(-4). Suppose 0 = -7*d + p + 25. What is the remainder when 31 is divided by d?
12
Suppose c - 6*c + 2*r + 877 = 0, 0 = 2*c + 4*r - 346. Suppose 2*u - c = 493. Calculate the remainder when u is divided by 42.
40
Let o(h) = -h**2 + 7*h + 3. Let x be o(7). Suppose m - 3*c + c = 3, -x*c + 12 = 0. Suppose 3*j - 44 + m = 0. What is the remainder when 40 is divided by j?
7
Let v be 6/10 + 135/25. Calculate the remainder when 37 is divided by 3*-2*(-3 + (-10)/v).
9
Suppose 5*h - 307 = -34 + 232. Calculate the remainder when h is divided by 11.
2
Let r(q) = q**2 - 112*q + 2070. What is the remainder when 3977 is divided by r(89)?
21
Let d = 104 + -138. Let s(y) = -y**2 - 30*y + 150. What is the remainder when s(d) is divided by 10?
4
Suppose -495*s - 24775 + 502908 = -80722. What is the remainder when s is divided by 1118?
11
Suppose -95*s = 15*s + 41*s - 1510. What is the remainder when 453 is divided by s?
3
Suppose 2*d - 1633 = 4*s - 5355, -3*s + 2767 = 2*d. What is the remainder when s is divided by (-1)/5 + (-291)/(-5)?
57
Let i be (-37)/13 - (-6)/(-39). Suppose -5*v + 20 = 0, 2*y - v - 101 = 91. What is the remainder when y is divided by 27 - -2*(i - -2)?
23
Suppose -1102 = 26*k - 64*k. Calculate the remainder when 2364 is divided by k.
15
Let o = 295 + -256. What is the remainder when ((-1173)/(-84) - (-5)/(-20))*14 is divided by o?
36
Let l = 110 - 76. Suppose -l*k + 612 = 2*k. What is the remainder when 31 is divided by k?
14
Suppose -3*u = -2*y + 4*y - 18, -3*y = 2*u - 27. What is the remainder when 237 is divided by 4/((-248)/(-280) + y/(-15))?
13
Suppose 5*f - 658 = -k, 5*k = 2*f - 2141 + 1921. Let c(r) = -r**3 + 3*r**2 + 5*r - 3. What is the remainder when f is divided by c(3)?
10
Suppose 4*f + m = 3*m + 10, f - m - 5 = 0. Suppose f = 3*u - 13 - 26. What is the remainder when 103 is divided by u?
12
Suppose -117 = -12*h + 3*h. Suppose -25 = 5*p, -4*m - 5*p = 50 - h. Let n(r) = -r**3 + 4*r**2 + 2*r + 1. What is the remainder when n(m) is divided by 10?
8
Let a(p) = -p**3 - 54*p**2 + 84*p - 741. Calculate the remainder when a(-56) is divided by 93.
83
Let o(j) = -j**3 - 9*j**2 + 2. Let s be o(-9). Suppose -s*g + 176 = -52. Calculate the remainder when g is divided by 15.
9
Let w = 185 - 508. Let s = 331 + w. What is the remainder when 36 is divided by s?
4
Let t = -774 + 822. Suppose t + 87 = 2*q - 3*g, 0 = 5*q - 3*g - 315. What is the remainder when 299 is divided by q?
59
Let b = -65 + 66. Let o(a) = 5*a**2 - a - 1. Let d be o(b). Suppo