Suppose 0 = 5*l + 2*v - 457 - 50, 7*l = -5*v + 701. Calculate the remainder when 421 is divided by l.
9
Let t be 1/(-2)*(-25 - -25). What is the remainder when 15 is divided by (1 + t)/((-42)/(-462))?
4
Let a = 179 - 185. Let l(u) = u**3 + 6*u**2 - 15*u - 1. Calculate the remainder when l(a) is divided by 18.
17
Let k = 315 + -310. Let t(u) = -41*u + 218. Suppose 3*j = 110 + 16. Calculate the remainder when j is divided by t(k).
3
What is the remainder when 1193 is divided by 1/(-25) + 228852/17550?
10
Let c(o) = 145*o - 2103. Calculate the remainder when 224 is divided by c(15).
8
Suppose -5254*d + 5262*d = 8416. Calculate the remainder when d is divided by 39.
38
Let v = -771 + 873. What is the remainder when v is divided by 1 + (-7)/5 - 62/(-5)?
6
Let q = -22 - -48. Let w(g) = 642*g + 12969. What is the remainder when w(-20) is divided by q?
25
Let x be 483/13 - (267/(-39) - -7). Suppose c - 4*m - 6 = 0, 5*c - 3*m = 27 + x. What is the remainder when 152 is divided by c?
12
Calculate the remainder when 570 is divided by 12 + -23 - (-88)/8 - 145/(-5).
19
Suppose 263 = -2*a + 6*a + 3*c, 0 = a - 5*c - 37. Suppose 0 = 4*p - g - 67, 33 = -0*p + 2*p - g. What is the remainder when a is divided by p?
11
Suppose -36*t + 3152 = 1028. What is the remainder when 501 is divided by t?
29
Let b(u) = 42*u - 163. Let j be b(4). Suppose 0 = -j*t + 972 - 217. Calculate the remainder when t is divided by 76.
75
Let v(c) = -c**3 - 25*c**2 - 51*c - 67. What is the remainder when v(-23) is divided by -2*91/(-10) - 2/10?
12
Suppose 2689*a = 2736*a - 6110. What is the remainder when 367 is divided by a?
107
What is the remainder when 2110 is divided by 2/18 + 27383/1251?
20
Suppose -11*r = -12*r + 6. What is the remainder when 6 - (-192)/(r - 0) is divided by 10?
8
Let z be -1 + (-3 - -9) + -259. Let s = z - -449. Calculate the remainder when s is divided by 28.
27
Let l = -76 + 86. Let m(v) = -2*v + 24. Calculate the remainder when 8 is divided by m(l).
0
What is the remainder when ((-16728)/(-36))/((2/1)/(8 - 2)) is divided by 25?
19
Let s be (-1)/((-105)/12670*4/(-18)). Suppose 0 = -f + 108 - 19. Calculate the remainder when f is divided by 24/64 + 1/((-24)/s).
20
Suppose 140*s - 61*s - 759 = 46*s. What is the remainder when 3403 is divided by s?
22
Let l(t) = 17*t + 296. What is the remainder when 356 is divided by l(-16)?
20
Suppose 5*k - 3*k = 4*p + 236, -4*p = 2*k - 228. Let b = k + -87. Let n(o) = -o**2 - 33*o - 74. What is the remainder when n(-24) is divided by b?
26
Let p be 15/2 - (36/8 - 4). Let q be ((-4)/(-1)*-1)/(p/14). Let d = -2 - q. Calculate the remainder when 9 is divided by d.
3
Suppose -21 = -4*w + 51. Let c = w - 33. What is the remainder when (-1089)/(-6)*(-10)/c is divided by 31?
28
Let p(z) = -4*z - 11. Let c = -22 - -16. Let b(j) = 1. Let l(a) = c*b(a) + p(a). What is the remainder when 56 is divided by l(-8)?
11
Let p = 224 + -211. Suppose b + 0*b + 5 = 0. Let o = b + p. Calculate the remainder when 20 is divided by o.
4
Let x(a) = a**3 + 17*a**2 + 3*a - 265. What is the remainder when x(-15) is divided by 9?
5
Suppose 10*w - 459 + 129 = 0. Suppose -12*m + w*m - 2247 = 0. Calculate the remainder when 114 is divided by m.
7
Let r(b) = -4*b**2 + 31*b - 41. Calculate the remainder when (-3)/(-1)*(-3)/(27/(-282)) is divided by r(4).
18
Suppose -2*s = 3*z + z - 14, 0 = -5*z - 4*s + 13. Let n(x) = -166*x + 17 + 83*x + 80*x. Calculate the remainder when n(z) is divided by 2.
0
Let i(c) = -33*c + 69. Let z be i(-25). Suppose -5*u = u - z. What is the remainder when u is divided by 10?
9
Suppose -2260 - 13731 = -2*j - 897. Calculate the remainder when j is divided by 102.
101
Suppose 15*d = 19*d - 12. Suppose -h + 85 = d*j - 87, -j = h - 56. What is the remainder when j is divided by 43?
15
What is the remainder when (-3)/4 - (46721/(-76) - 1) is divided by 8?
7
Calculate the remainder when 528 is divided by (30/4 + -15)/(6/(-16)).
8
Suppose -8*j + 996 - 164 = 0. Calculate the remainder when 216 is divided by j.
8
Let v(o) = -o**2 - 15*o - 10. Let l = 73 - 88. Let q be v(l). Calculate the remainder when (q/(-4))/((-4)/(-48)) - -3 is divided by 12.
9
Let x be -3*4*(-8)/12. Suppose 4*j + 2*m + 36 = 8*j, -x = -2*j - 4*m. Suppose -5*f - 4 = -h, -6 = -0*f - 3*f. What is the remainder when h is divided by j?
6
What is the remainder when (-90)/54 + (25186/(-6))/(-7) is divided by 10?
8
Suppose -576*f + 581*f = 3*l + 533, 0 = -4*f + 3*l + 427. Calculate the remainder when f is divided by (45/10)/(3/16).
10
Let s(j) = j**3 - 43*j**2 + 82*j + 11. Let c be s(41). Suppose 0 = n - v - 19, 0 = 2*n + 2*v - c - 47. What is the remainder when 430 is divided by n?
22
Suppose p + 5*i - 5 = 6*p, 2*p - 13 = 5*i. Let v be 187 + (p/2)/1. Suppose -187*y + 30 = -v*y. What is the remainder when 37 is divided by y?
7
Suppose 475 = r + 5*o, -5*r + 1078 = -5*o - 1177. Let s(d) = 6*d**3 - 17*d**2 + 8*d + 12. Calculate the remainder when r is divided by s(2).
7
Let d = -8159 - -8285. What is the remainder when d is divided by 31?
2
Let j = 2043 + 260. Calculate the remainder when j is divided by 165.
158
Suppose -95*h = 5*h - 9800. What is the remainder when 4899 is divided by h?
97
Let k = -21098 - -32799. What is the remainder when k is divided by 47?
45
Suppose 0*x + 175784 = 70*x + 3*x. What is the remainder when x is divided by 792?
32
Suppose 3*o - 15 = 0, -3*a = 4*o - 2*o - 22. Suppose -h - 5*y = -263 + 688, 5*h = 5*y - 2245. Let i = -430 - h. Calculate the remainder when i is divided by a.
3
Let q be ((-108)/15 - -6)/((-3)/10). Suppose 2*m + 864 = 4*m - q*a, -5*a - 2185 = -5*m. What is the remainder when m/4 + (2/4 - 0) is divided by 7?
6
Let q be (3/2 - 1) + 7/(-2). Calculate the remainder when q/(-5)*(-3 + 159 + -11) is divided by 13.
9
Let n be (-4752)/20 - (-4)/(-30)*3. Calculate the remainder when (17/(n/(-24)))/(2/49) is divided by 15.
12
Suppose 11*y = 22*y - 12*y + 5, -5*f + 36*y + 225 = 0. What is the remainder when ((-7)/4)/(1/(-92)) is divided by f?
80
Suppose 0 = -4*r - 4*i + 28, -15*r + 19*r + i = 43. Let m(j) = 2*j**3 + 3*j**2 + 2*j - 4. What is the remainder when m(3) is divided by r?
11
Let z = 4231 - 4209. What is the remainder when 1182 is divided by z?
16
Suppose 3*f + 96 = -3*f. What is the remainder when (-10 - f) + (3 - 0) is divided by (2 - -3)*(-12 - (-198)/15)?
3
Suppose -r - 9473 = -4*y, 346*y - 3*r + 11854 = 351*y. Calculate the remainder when y is divided by 15.
14
Suppose -40*l + 17971 = -14909. What is the remainder when l is divided by 390?
42
Let f(d) = 784*d + 7859. What is the remainder when 2429 is divided by f(-10)?
16
Suppose 2*m = -m + 537. Suppose 102*p = 670 + 350. What is the remainder when m is divided by p?
9
Let w(x) = 4*x**3 - 21*x**2 + x - 89. Let v = 2 + 11. What is the remainder when w(6) is divided by v?
12
Let j(i) = i**2 + 6*i - 17. Let v be j(3). What is the remainder when 130 is divided by ((-176)/v)/(2/(-5))?
42
Let f be 5*-1*-1 + 10540/(-62). Let v = 169 + f. Calculate the remainder when 141 is divided by v.
1
Let f = 10571 - 10077. Calculate the remainder when f is divided by 1.
0
Suppose 4*i - 5*l - 19 = 3*i, -2*i - l = -60. Let q = -26 + i. Suppose 98 = q*h - 31. What is the remainder when h is divided by 11?
10
Suppose 11762*w = 11756*w + 1542. What is the remainder when 359 is divided by w?
102
Suppose 17*p - 67510 = 31209. Calculate the remainder when p is divided by 7.
4
Let i(v) be the second derivative of v**5/20 + 11*v**4/6 - 19*v**3/6 + 59*v**2 - 136*v. Calculate the remainder when 91 is divided by i(-23).
13
Let b = 917 - 897. Let t(o) = 3*o**2 - o - 8. Let f be t(7). What is the remainder when 4 - 7/((-28)/f) is divided by b?
17
Suppose 21*c + 68 = 25*c. Suppose u - 31 = c. Calculate the remainder when u is divided by 26.
22
Suppose 0 = -5*t - 0*t + 720. What is the remainder when (4/(-3))/((-2)/t) is divided by -10*64/256*20/(-2)?
21
Let q be (-7 - (15 - 8)) + 6. What is the remainder when (94/8)/(q + (-264)/(-32)) is divided by 14?
5
Let o be ((-20)/(-30))/((-2)/(-15)). Suppose 0 = -4*c + o*t + 117, c - 32 = -3*t + 7*t. Calculate the remainder when 65 is divided by c.
9
Let g(u) = 2*u**3 + 8. Let c be g(5). Suppose 2*j + 3*t - 98 = -t, 5*j = 3*t + c. Suppose 0 = -2*o - 11 + j. What is the rema