Let m be (3/(-6))/(1/4). Let t(f) = -17*f. Suppose 4*s - g = 32, -5*g = -5*s - 0*g + 25. What is the remainder when t(m) is divided by s?
7
What is the remainder when ((-47983)/104)/(2/(-16)) is divided by 52?
51
Let m(v) = v**2 - 1. Let t(l) = -2*l**2 + 57. Let f(u) = -m(u) - t(u). Calculate the remainder when 96 is divided by f(9).
21
Suppose -4*d - x = -12935, 5*d - 16107 = -x + 63. What is the remainder when d is divided by 108?
103
Let s be (-1)/(-4 - -7)*(-6)/1. Suppose 4*m + 20 = 0, -4*p = -0*m - s*m - 106. Let i = -8 + 13. What is the remainder when p is divided by i?
4
Let d(m) = -m**2 - 14*m - 17. Let j be d(-11). Let c(o) = -o**3 + 19*o**2 - 35*o + 4. Calculate the remainder when c(j) is divided by 24.
20
Suppose -a - 5*h = 2*a - 259, -4*a + 336 = 2*h. Suppose 5*s - 72 = -g, -44 = -3*s + 1401*g - 1402*g. Calculate the remainder when a is divided by s.
13
Suppose -g + 418 = z - 4*z, -g = 4*z - 404. Let w = 423 - g. Calculate the remainder when 42 is divided by w.
9
Suppose 11 = 3*x - 109. Let w be (76/5)/((-2)/(-5)). Suppose -5*o + w = -32. What is the remainder when x is divided by o?
12
Let x = -114 - -168. Suppose -2*i + 3*u = -2 - 17, -5*i + 67 = -u. What is the remainder when x is divided by i?
12
Let b = -53 + 57. Let i be b/(-6)*2745/(-10). Let l = i - 89. What is the remainder when l is divided by 12?
10
Suppose 3*c - 4599 = 3*j, 3*j - 6167 = 80*c - 84*c. What is the remainder when c is divided by 36?
26
Suppose -572 + 645 = 5*c + 4*j, -c - 2*j = -5. What is the remainder when 6317 is divided by c?
17
Suppose 214*m - 219*m + 25 = 0. Suppose -m*g - y = -39 - 55, -5*y + 14 = g. What is the remainder when (3/2)/((-2)/(-124)) is divided by g?
17
Let v be 104/28 - (-6)/21. Let c(b) = 6*b**2 - 3*b - 25. Suppose -5 = -4*y + 59. Calculate the remainder when c(v) is divided by y.
11
Suppose 3*c = 8*c - 50. Suppose i + 4 = -2*o, c = 2*i - 2*o - 6. Calculate the remainder when (-1375)/250*(-2 - 10/(-11)) is divided by i.
2
Let v be 15/3 + (-1 + -1)/2. Suppose -2*o + 4*j + 8 = 0, v*j + 10 = 3*o - 0*o. Suppose -5*a = -o*a - 60. Calculate the remainder when 37 is divided by a.
17
Suppose 2*r + 2243 = 2377. Calculate the remainder when 128 is divided by r.
61
Suppose 0 = 3*b - 11 - 7. Suppose b*y - 189 = 183. Calculate the remainder when y is divided by 19.
5
Suppose -d - 3*d = 0, -5*m = 3*d - 455. Let r = m - 62. Calculate the remainder when 85 is divided by r.
27
Suppose 0 = -5*m - 0*x + 2*x + 196, -x - 79 = -2*m. Calculate the remainder when (-5)/(-1 - (-444)/454) is divided by m.
37
Suppose 118*z - 5*u + 485 = 123*z, 0 = 4*z + 2*u - 390. Calculate the remainder when z is divided by 21.
14
Suppose 4*f + 4*x = 5524, 10*x = -f - 628 + 2009. What is the remainder when f is divided by 281?
257
Let c(t) = -44*t - 12. Let w be (-3)/21*0 + 2 + -7. What is the remainder when c(w) is divided by 5?
3
Let m(i) = i + 4. Let a be m(0). Suppose -q + 202 = 2*q - a*n, -2*q = 2*n - 130. What is the remainder when q is divided by 17?
15
Suppose 4*k - 21 - 3 = 0. Suppose -f + 38 = 3*m + 3, 3*f - k = 0. Calculate the remainder when m is divided by 4.
3
Let m(a) = 4*a - 13. Let g(z) be the third derivative of 11*z**5/60 + 29*z**4/24 + 77*z**3/6 - 103*z**2. What is the remainder when g(-3) is divided by m(9)?
20
Suppose 14*t - 619 = 10*t - 3*c, 312 = 2*t + 4*c. Calculate the remainder when 2612 is divided by t.
148
Suppose -4*h + 0*h - 116 = -5*s, 5*h - 5 = 0. Let i(y) = -35*y + 2. Let c be i(-2). Suppose c - 260 = -2*z. Calculate the remainder when z is divided by s.
22
Calculate the remainder when (4 - 36/8)*(-12452)/22 is divided by 12.
7
Let j(t) = -4*t**2 + 129*t - 141. What is the remainder when j(27) is divided by 37?
19
Let n be 74/(1 - -1) + (7 - 13). Suppose n*w = 32*w - 61. Calculate the remainder when 110 is divided by w.
49
Let t(b) = b**3 - 80*b**2 - 4*b + 341. What is the remainder when 3338 is divided by t(80)?
20
Let h = 68 + -22. Suppose -13668 = 14*y + 54*y. What is the remainder when h is divided by (-9)/2*1072/y?
22
What is the remainder when 151 is divided by 1/(10/3004*2) - (-12)/15?
0
Suppose -5*w + h = -19, 2*h - 2 = -w + 4*h. Let d(u) = 2*u**2 - 2*u + 1. Calculate the remainder when d(-2) is divided by (0 + w/12)*21.
6
Suppose -10*u - 17830 = -18040. Calculate the remainder when 851 is divided by u.
11
Suppose 8*s - 238 = 18. Suppose s = 2*n - c, 28*n - 4*c = 29*n - 7. Calculate the remainder when 1002 is divided by n.
12
Let r(s) = 2*s**2 + 1207*s - 7235. Calculate the remainder when 1025 is divided by r(6).
77
Let s = 430 - 295. Let c(r) = r**2 + r - 1. Let t(y) = -10*y**2 + 2*y + 9. Let g(u) = -c(u) - t(u). What is the remainder when s is divided by g(-2)?
33
Let i(d) = -5*d**3 - 5*d**2 + 44*d + 8. What is the remainder when 1075 is divided by i(-4)?
67
What is the remainder when 431 is divided by (-117)/8*-2 - (-3)/(-12)?
25
What is the remainder when 574 is divided by 625/35 + 4/28?
16
Let g(x) = -7*x - 14291*x**2 + 14283*x**2 - x**3 + 18 - 5. What is the remainder when 337 is divided by g(-7)?
12
Suppose 169*f + 19370 = 174*f. Calculate the remainder when f is divided by 51.
49
Suppose -478 = 5*u - 3*x - 35, -x + 89 = -u. Let w = u + 92. Suppose -f = 6*v - 5*v - 17, -109 = -5*v + 3*f. What is the remainder when v is divided by w?
0
Suppose x = 1, -3*r + x + 7 + 22 = 0. Suppose -p = -r*u + 5*u - 64, 4*p - 5*u - 241 = 0. What is the remainder when p is divided by 20?
19
What is the remainder when 37779*1/27 + (4/(-18))/1 is divided by 346?
15
Let d = 3567 - 3475. Calculate the remainder when 2040 is divided by d.
16
Suppose -56*a - 53*a = -46325. What is the remainder when a is divided by 12?
5
Suppose -121*h = -251*h + 121*h + 1656. Calculate the remainder when 695 is divided by h.
143
Let a(o) = -7*o - 46. Let k be a(-6). Let d be (-4)/6 + (-5)/15. Calculate the remainder when 9 is divided by 1*k/(-3 + d).
0
Let l = -44 - -73. Calculate the remainder when l is divided by ((-2 - -2) + -6)*(-11 - (-225)/27).
13
Let k(z) = 122*z**2 - 140*z - 428. Calculate the remainder when k(-3) is divided by 267.
22
Suppose 2*x + 0 = -2. Suppose 465 = 8*w - 3*w. What is the remainder when w is divided by 12/(x/4*-2)?
21
Let s be 5/(-15)*3 - -4. Suppose -z = -4*z - s*c - 3, -z - 3 = -c. Calculate the remainder when (z + 6/5)*360/(-16) is divided by 12.
6
Suppose -4*y + 459 = -3*b + 541, 3*b = -3*y + 138. Calculate the remainder when 673 is divided by b.
27
Suppose -5*f + 508 = -52. Calculate the remainder when 20 is divided by 6*(-4 + f/21).
4
Let o = 97 - 94. Suppose 0 = -u - 3, -2*u + o = 2*j - 49. What is the remainder when j is divided by 13?
3
Suppose -1156 = 2*y - 1160, -a + 2*y = -359. What is the remainder when a is divided by 7?
6
Let h = -52 + 47. What is the remainder when 162 is divided by 2/(((-30)/126)/h)?
36
Let v = -38 + 80. Let p = 48735 + -48592. What is the remainder when p is divided by v?
17
Suppose 105 = -18*s + 25*s. Let i(a) = -a**2 + 17*a - 5. Let k be i(s). Suppose 6*y + k = 103. What is the remainder when 103 is divided by y?
12
Let s = -3254 - -3307. Let y = -36 - -63. Calculate the remainder when s is divided by y.
26
Let p(a) = a**3 + 9*a**2 + 20*a + 24. Let w be p(-7). Let s = -26 - -73. What is the remainder when s is divided by (-6)/(w/(-1))*-30?
7
Let d = 324 + -105. Suppose -2*x = 0, -4*x - d = -4*i + 53. Calculate the remainder when 676 is divided by i.
64
Suppose -14*y = -12*y - 8. Suppose y*s = 8*s - 640. Let j(p) = 2*p**2 - 40*p + 47. What is the remainder when s is divided by j(19)?
7
Let j(z) = -2*z - 4. Let r = -4469 + 4525. Calculate the remainder when r is divided by j(-5).
2
Let t = -6599 + 6774. Calculate the remainder when t is divided by 34.
5
What is the remainder when 49 is divided by 374/12 + (5 - 12/(-144)*-62)?
18
Let c(w) = 4*w**3 + 7*w**2 + 5*w - 4*w**3 - w**2 + w**3. Let o be c(-5). Suppose o = -14*u + 12*u + 38. What is the remainder when u is divided by 5?
4
Let j be (1/3)/(3/1233*1). Suppose -q + j - 27 = 0. Suppose t - q = -4*t. What is the remainder when 63 is divided by t?
19
Let y = -3 + 5. Suppose -186 = -5*u + y*u. Suppose 0 = 3*r + 81 - 177. What is the remainder when u is divided by r?
30
Let t(n) = -15 - 4 - 17*n + 4*n**2 - 6*n**2 - 8. Let z be t(-6). Suppose -73 = -z*v - 2