emainder when 4644 is divided by ((-273)/(-120) - 36/(-60))/((-6)/(-48)).
21
Suppose -137 = -3*x - 53. Suppose 0 = -66*o + 71*o - 25. Suppose o = 3*i - x. Calculate the remainder when 41 is divided by i.
8
Let x be ((-1)/(-8) + 8/(-64))/(-3). Suppose x = -0*n - 25*n + 75. Calculate the remainder when 35 is divided by n.
2
Suppose -699*q - 5*v = -703*q + 2708, 5*v + 677 = q. Calculate the remainder when q is divided by 333.
11
Calculate the remainder when 13/(-143) - (-3138)/((-840)/(-387) - 2) is divided by 11.
8
Suppose -38*z + 6272 = -10*z. Calculate the remainder when z is divided by 206.
18
Let j(m) = -40*m**3 - 3*m**2 - 6*m - 4. What is the remainder when 635 is divided by j(-2)?
3
Let b = -3960 - -4122. Calculate the remainder when b is divided by 54.
0
Suppose -1977 = -17*l - 1348. Calculate the remainder when 776 is divided by l.
36
Let o(l) = l**2 + 23*l + 88. Let p be o(-6). What is the remainder when 172/(-28) + 6 + (-2088)/p is divided by 75?
74
Let v(k) = k**2 - 15*k + 2. Let u be v(15). Let r(a) = -6*a**3 + 2*a + 1. Let g be r(-1). Suppose u*x = 35 + g. Calculate the remainder when 99 is divided by x.
19
Let k = -364 - -354. What is the remainder when 122 is divided by 2 + 28 + k/(-5)?
26
Suppose -8*q + 6 = -2. Let r(j) = 24*j - 14. What is the remainder when 79 is divided by r(q)?
9
Let a(r) be the second derivative of 7*r**3/6 + 5*r**2/2 - 8*r. Let m be a(0). Calculate the remainder when 35 is divided by 5 - (-5 + 20/m).
5
Suppose 2657 - 97 = 4*v. Suppose v = 7*w + 3048. Let j = -207 - w. Calculate the remainder when j is divided by 35.
32
Suppose -t + 5*a + 105 = 0, a = 2*t - 0*a - 255. Suppose 36 = 136*h - t*h. Calculate the remainder when 40 is divided by h.
4
Let j(t) = -9*t - 37 - 43 - 35 - 44 - 31. What is the remainder when j(-47) is divided by 5?
3
Suppose 6 = -3*f, 94 = 4*h - 3*f - 2*f. Let s = -62 + 64. Suppose -3*z = -s*p + 41, -5*p - 12 = 3*z - 62. Calculate the remainder when h is divided by p.
8
Let p(j) = j**3 - 34*j**2 + 35. Suppose x - n = 30, 5*n - 51 = 4*x - 167. What is the remainder when 67 is divided by p(x)?
32
Let a = 5864 + -5809. Calculate the remainder when 201 is divided by a.
36
Let x(d) be the first derivative of -d**4/4 + 4*d**3/3 + 3*d**2/2 + d - 8. What is the remainder when 46 is divided by x(4)?
7
Calculate the remainder when (303*6/(-27))/(10/(-180)) is divided by 333.
213
Suppose -25*k + 16*k + 9 = 0. Suppose 0 = -4*g - k + 53. Calculate the remainder when g is divided by 6.
1
Let v = -19349 + 19420. Calculate the remainder when v is divided by 5.
1
Let t(g) = -143*g + 3089. Calculate the remainder when t(-22) is divided by 231.
229
Let g(r) = 4*r**2 + 0 - 3 - 3*r**2. Suppose -19*l + 32 = -11*l. Calculate the remainder when 51 is divided by g(l).
12
Suppose 0 = o - 95 - 81. Let g(z) = 39*z + 216. Let r be g(30). Suppose 0 = -20*j + r - 486. What is the remainder when o is divided by j?
41
Suppose -2*k + 2*l + 4259 = 741, 0 = 5*l. Calculate the remainder when k is divided by 41.
37
Let v = 21 + -12. Let i(w) = w**3 - 9*w**2 + 2*w - 5. Let h(r) = -55*r**2 + 555*r - 27. What is the remainder when h(10) is divided by i(v)?
10
Let r(c) = 3*c**2 + 5*c + 6. What is the remainder when 797 is divided by r(-2)?
5
Let j(p) = -p**3 - 2*p**2 + 2. Let c be j(-2). Suppose c*l + l = 51. What is the remainder when -150*((-29)/(-1131)*-25 - 8/(-26)) is divided by l?
16
Let j(n) = 115*n**2 + 1. Let b(u) = u**3 + 10*u**2 + 13*u + 10. Calculate the remainder when j(1) is divided by b(-8).
14
What is the remainder when 10902 is divided by 656/246*(-174)/(-4)?
114
What is the remainder when 222 is divided by 3146/77 - 1/(-7)?
17
Suppose -6*n + 3049 = -623. Suppose -22*g = -34*g + n. Calculate the remainder when 202 is divided by g.
49
Let q = -7 + 7. Suppose -35*r + 6590 = 990. Suppose 0 = 3*j - 4*g - 120, -4*j + r = 3*g - q*g. What is the remainder when 197 is divided by j?
37
Let o = 135 - 89. Calculate the remainder when 180*(-22)/(-55) + -6*2/4 is divided by o.
23
Let m(k) = 37*k**2 - 332*k + 657. What is the remainder when 845 is divided by m(2)?
140
Let a = 8583 + -5507. What is the remainder when a is divided by 54?
52
Let n(g) = -g**2 - 29*g - 176. What is the remainder when 2673 is divided by n(-18)?
11
Let v = -159 - -164. Suppose -2*d - d + o + 8 = 0, 4*d - v*o = 7. What is the remainder when 18 is divided by d?
0
Suppose 8*c + 37 = 29. What is the remainder when 44 is divided by (-112)/(-10)*c/(4/(-10))?
16
Let k(f) = -f - 18. Suppose -13*o - 163 = 162. Suppose -u + 33 = 5*i - 67, 3*i - 37 = 4*u. Calculate the remainder when i is divided by k(o).
5
Let z be (1 - (-3 + 5))*-5. What is the remainder when 46 is divided by (-11)/(110/50)*-1*z?
21
Let o(j) = j**3 - 10*j + 37. Calculate the remainder when o(5) is divided by 58.
54
Calculate the remainder when 863 is divided by 3*289/11 + (-428)/(-2354).
73
Suppose -u - 3*u = 68. Let m = u + 29. Let s(x) = -2*x**3 + 5*x**2 + 5*x + 1. Calculate the remainder when s(-2) is divided by m.
3
Let b(a) = -5*a - 194. Let y be b(-37). What is the remainder when 109 is divided by 5/((-60)/(-4)) - 123/y?
11
What is the remainder when 1214 is divided by 376 - -2 - (-77 + 63)?
38
Suppose 0 = -18*d + 21*d. Let h be -465*(4/6 + -1). Suppose 5*n + d*n = h. Calculate the remainder when 183 is divided by n.
28
Suppose 2*y - 5*y - 162 = 0. Let d = -2412 + 2427. What is the remainder when d is divided by y/4*14/(-21)?
6
Let l = 2246 - 1893. What is the remainder when l is divided by 28?
17
Let b(v) = -v**2 + 9*v. What is the remainder when (((-226)/12)/(16/(-32)))/((-29)/(-87)) is divided by b(5)?
13
Let q = -203 - -225. Let d be (-44)/(-12) + (-2)/(-6). Suppose 9*a = d*a + 215. What is the remainder when a is divided by q?
21
Let w(p) = -238*p - 358. Calculate the remainder when 158 is divided by w(-2).
40
What is the remainder when 478 is divided by 7 + (6 - 2) + -4 - (-5 + -84)?
94
Calculate the remainder when (1 - -9)*(-3)/(-6) + 29 is divided by (-9)/(-6)*(0 - (-5 + -1)).
7
Suppose 2*w + 28 = -4*m, 0 = 3*w - 7*w - 2*m - 26. Calculate the remainder when 75 is divided by 4/(-3)*123/w.
34
Let f(a) = 8*a**3 - 4*a**2 + 21*a + 5082. Calculate the remainder when f(0) is divided by 23.
22
Let h be (-3)/(-12) + (-21)/(-12). Suppose -5*b - 4*q + 1054 = 0, -2*b = -q + h - 434. Calculate the remainder when b is divided by 12.
10
Suppose -140*q = 31313 - 58295 - 44558. What is the remainder when q is divided by 45?
16
Let t be 38*(-2)/(-4) - 1. Let b = t - -1. Let n(p) = 3*p**2 - 60*p + 365. What is the remainder when n(7) is divided by b?
16
Let f(q) = -77*q + 4. Let l be f(-7). Suppose 5*u - 4*y - l = 0, u - 2*y = 2*y + 115. Let s = u - 70. Calculate the remainder when s is divided by 20.
17
Suppose -b = -3, 3*c + 23*b - 249 = 27*b. What is the remainder when 88 is divided by c?
1
Let q be 92*7/(-42)*-3*1. Suppose 0*t - 36 = -4*t - 5*r, r = 3*t - q. Calculate the remainder when 124 is divided by t.
12
Let i be (77/154)/((-1)/(-6914)). Suppose -80*k + i + 383 = 0. What is the remainder when 284 is divided by k?
44
Let p = -19261 - -19390. What is the remainder when p is divided by 37?
18
Suppose -295 = -5*n - 5*k, 0 = -2*n + 3*n - 3*k - 67. Suppose -3*s = s - 88. What is the remainder when n is divided by s?
17
Let n = -192 + 263. Suppose 3*l - 4*a = -6*a + n, l + a = 22. What is the remainder when 79 is divided by l?
25
Let m(l) = l**2 - 180*l + 7647. Let f = 273 + -144. Let a = -68 + f. Calculate the remainder when a is divided by m(68).
30
Suppose 0 = -g - 24 + 23, t = -4*g + 8992. What is the remainder when t is divided by 90?
86
Suppose -3556 - 5041 = -2*a - 2179. Calculate the remainder when a is divided by 15.
14
Let w(b) = 17*b + 7. Let i(y) = 26*y + 11. Let x(z) = 5*i(z) - 7*w(z). Let p be x(18). Suppose p = 10*r - 7*r. What is the remainder when r is divided by 23?
22
Suppose 2*z = 5*y - 265, 5*y - 4*z + 45 = 300. Suppose v - y = -2*n, 2*n + 151 - 59 = 2*v. What is the remainder when 136 is divided by v?
38
Let w(c) = 2*c + 63. Let f be w(-39). Let q = f + 73. Calculate the remainder when 166 is divided by q.
50
Let s = 453 - 223. Let q = s - 207. What is the remainder when q is divided by 7?
2
Let a = 14233 - 14210. Calculate the remainder when 9636 is divided by a.
22
