- 7. What is the remainder when o(-2) is divided by 131?
13
Suppose -4*k - 132 = 2*j - 4*j, -20 = 5*j. Let x = 40 + k. Let o = 19 + x. Calculate the remainder when o is divided by 7.
3
Let v be (-4)/(-7) - (8 - 560/49). Suppose -48 = -3*c + u, 0 = -v*c - 8*u + 4*u + 64. What is the remainder when 54 is divided by c?
6
Suppose c - 1598 = -2*s - c, -5*s - 4*c + 3994 = 0. What is the remainder when 351 is divided by (-5)/8*2 - s/(-24)?
31
Let r be 48/(-4)*-2*102/18. What is the remainder when 529 is divided by r/170 + 291/5?
57
Let i(r) = -2*r**2 + 27*r - 80. Let z = 16 - -3. Calculate the remainder when z is divided by i(5).
4
Let o(r) = -r + 39. Let b = 284 - 218. Calculate the remainder when b is divided by o(10).
8
Let t(x) = -x**3 - 14*x**2 - 12*x - 2. Calculate the remainder when t(-14) is divided by (-1)/(-4) - (-171)/4.
37
Let j = 19576 + -19289. Calculate the remainder when j is divided by 113.
61
Suppose 4*j + 36 = 4*q, -13*q + 4*j = -16*q + 69. What is the remainder when 241 is divided by q?
1
Let p = -39 + 22. Let h = 76 + p. Calculate the remainder when h is divided by (-3*1/(-9))/(12/756).
17
Let k(i) = -31*i + 4464. What is the remainder when k(134) is divided by 100?
10
Let u = -17322 - -17842. What is the remainder when u is divided by 33?
25
Let r(t) = t**2 + 20*t + 31. Let f be r(-15). Calculate the remainder when (-11)/f + 1365/12 is divided by 11.
4
Let g(o) = -1345*o + 4146. Calculate the remainder when 571 is divided by g(3).
16
Suppose -3*z - 2342 = -4*j, 3*j + z - 730 = 1007. What is the remainder when j is divided by 8?
5
Let x = -9 + 46. Suppose -16*j + 7*j = -360. What is the remainder when x is divided by (-45)/(-6)*j/30?
7
Let h(n) = -5*n + 67. Let v be h(-8). Calculate the remainder when 204 is divided by 57/114 - v/(-2).
42
Let r = -59 + 233. Suppose -5*p - 232 = 333. Let t = p + r. Calculate the remainder when t is divided by 31.
30
Let x = -20536 - -20817. Calculate the remainder when 315 is divided by x.
34
Suppose 0 = 3*g - 3*y - 1080, 99 = -3*g + y + 1161. What is the remainder when 1430 is divided by g?
26
Suppose 96*s - 50*s = 50*s - 792. Let z = 62 - 22. What is the remainder when s is divided by z?
38
Suppose 1787*m - 660 = 1782*m - 2*b, -4*b = -5*m + 630. What is the remainder when 4286 is divided by m?
126
Let z(w) = 10*w + 92. Let a(y) = -y**3 - 10*y**2 - 14*y + 7. Let r be a(-8). What is the remainder when 5 is divided by z(r)?
1
Let l be 4/(-14) + 1/(-14)*-592. Suppose -3*y = -l*y + 936. What is the remainder when 78 is divided by y?
6
Let j(z) = -15 + 19 - 3*z - 6 + 2*z**2 - 10. What is the remainder when j(5) is divided by 17?
6
Suppose 2*b + 8 = 0, 2*m - 32 = -2*m + 3*b. Suppose 4*t + 2*k = 4, -8*t + 3*k = -m*t - 3. What is the remainder when 2 is divided by t?
0
Suppose 2*a + 85 = v, 0 = -10*v + 12*v + 3*a - 177. What is the remainder when v is divided by -2 - (5 - 26) - 1/1?
15
Suppose 8*f - 175 = 3*f. Suppose -586 = -2*y + 4*h, 458 = 2*y - 39*h + 51*h. Calculate the remainder when y is divided by f.
32
Suppose -5*u + 5*c - 5 = 0, 0 = u - 2*c - 0*c + 2. Suppose -y + 43 + 8 = u. Calculate the remainder when 405 is divided by y.
48
Let r(c) = 2*c**3 + 115*c**2 + c - 11. What is the remainder when r(-57) is divided by 13?
9
Let i(l) = l**3 + 15*l**2 + 19*l - 6. Let d be i(-13). Let z = d - 24. Suppose r - 5 = 0, 3*b + 5*r = 2*r + 36. What is the remainder when z is divided by b?
5
Suppose -40*i - 38*i + 65*i + 1963 = 0. What is the remainder when 565 is divided by i?
112
What is the remainder when 113 is divided by 9040/112 + 20 + 2/7?
12
Suppose -16*z + 34 = 2. Suppose 0 = 4*t - t. Suppose i - 17 = 2*b, t = -z*i + b + 23 + 5. Calculate the remainder when 23 is divided by i.
10
Suppose 220907*s = 220920*s - 3913. Calculate the remainder when 4514 is divided by s.
300
Let x be -1*(-2 + 5 - 12). Calculate the remainder when 1 + -5 - x/(36/(-560)) is divided by 18.
10
Suppose -5*w - 12 = 4*b - 272, 3*w - b - 173 = 0. Calculate the remainder when 634 is divided by w.
18
Let r(x) = 2*x**2 + 3*x - 7. Let h = 67 + -65. Let m be 0 + h + (8 - 8). What is the remainder when 11 is divided by r(m)?
4
Suppose 43*b - 9789 - 101 = 0. Calculate the remainder when b is divided by 68.
26
Suppose -38*h + 52*h - 22190 = 0. Suppose 1166 + h = 21*m. Calculate the remainder when m is divided by 41.
8
Let i = 10 - 7. Suppose -i*o + 126 = -3. Calculate the remainder when o is divided by (-6)/2 - (18 + -32).
10
Let o = -68 + 78. Let q(y) = 3*y - 13. What is the remainder when 28 is divided by q(o)?
11
Let d(r) = 4*r - 13. Suppose -8*h - 3820 = -4100. What is the remainder when h is divided by d(5)?
0
Suppose 3*r - f = 2855 + 7283, 0 = -4*f - 4. Calculate the remainder when r is divided by 89.
86
Let k(d) = -67*d - 426. What is the remainder when k(-9) is divided by 10?
7
Let w(x) = -16*x + 14. Let y = 62 - 64. What is the remainder when w(y) is divided by 6?
4
Let t = -13010 + 13655. What is the remainder when t is divided by 9?
6
Calculate the remainder when 1869 is divided by (12/(-21))/(3/(-63)).
9
Suppose 357 = 83*t - 66*t. Calculate the remainder when 839 is divided by t.
20
Suppose 0*m + 5 = m - 3*f, 2*m - 10 = f. Suppose 3*v + 32 = -4*t, -v - m*t + 4*t = 9. Calculate the remainder when 67 is divided by 94*1/4 - (-2)/v.
21
Calculate the remainder when 7481 is divided by ((-2758)/(-56))/((-4)/(0 + -16)).
192
Let u(a) = 32*a**2 - 10*a - 5. What is the remainder when u(-2) is divided by 74?
69
Suppose 264 = -51*o + 57*o. What is the remainder when 114 is divided by o/3 + 10/(-6)?
10
Suppose 30*x - 18328 - 11072 = 0. Suppose -x = -20*c + 2000. Calculate the remainder when c is divided by 17.
13
Suppose 0 = -q + 2*q - 5, -4*m = -2*q - 22. Let v be ((-32)/m)/((-1)/7). Suppose 29*z - 48 = v*z. Calculate the remainder when z is divided by 5.
3
Let j = -127 - -79. Let p = j - -55. Let f(l) = 6*l - 20. Calculate the remainder when f(p) is divided by 17.
5
Suppose -2*f = 4*k - 16, -5*k - 4*f - 9 = -29. Calculate the remainder when -1 - -42 - (-12 + 14) is divided by (k + 24/(-4))*-4.
7
Let d be (17/2 + -1)/((-7)/(-154)). Let t = -146 + d. Calculate the remainder when 65 is divided by t.
8
Let o(y) = 15*y**2 + 7*y - 11. Let m be o(2). Suppose -10*x - 3 + m = 0. What is the remainder when 45 is divided by x?
3
Let v be (-26)/39*3*-1. Suppose -2*h + 5*m = -33, 18 = -4*m - v. Suppose 16 = -5*b + h*i + 47, 32 = 5*b - 3*i. What is the remainder when 23 is divided by b?
2
Suppose 1773 = 11*f + 222. What is the remainder when f is divided by 25?
16
Suppose 0 = i - 17*i + 320. What is the remainder when 790 is divided by i?
10
Let d(h) = -3*h**2 - 33*h - 37. Let m be (-120)/14 - (-21)/(-49). What is the remainder when 51 is divided by d(m)?
0
Suppose 0 = -10*o - 28 + 488. Let n be 87/(-18) - -5 - o/(-12). Calculate the remainder when 27 is divided by n/14 - (-1)/(14/206).
12
Let r = 1279 + -807. Let g = 485 - r. What is the remainder when 309 is divided by g?
10
Let o = 64 - 18. Let u = 42 - o. What is the remainder when 27 is divided by ((-2)/5)/((-4)/(-400)*u)?
7
Let t(w) = w**3 + 25*w**2 + 69*w + 44. Let j be t(-22). Let x(y) = -y - 11. Calculate the remainder when 12 is divided by x(j).
1
Suppose h - x - 56 = 0, 3*x + 2*x - 184 = -3*h. Let w = -21 + h. Calculate the remainder when w is divided by 162/8 - (-1)/(-4).
17
Calculate the remainder when 5/15*3 - (-672 - -5) is divided by 1.
0
Let y be 4/((2 - 1)*-1 - -3). What is the remainder when (-8)/(y - 6) + 55 is divided by 18?
3
What is the remainder when 7/(-1*(-1)/3) is divided by ((-768)/160)/((-6)/(-60)*-4)?
9
Let z be (10/(-4))/((-20)/16). Let g(a) = 4*a**2 + 4*a - 3. Calculate the remainder when 122 is divided by g(z).
17
Suppose 2*u - 32 - 14 = 0. What is the remainder when u is divided by (1/2*(-2 - -106)/(-4))/(-1)?
10
Let h = 474 + 4185. What is the remainder when h is divided by 10?
9
Let l(f) = f**3 + 20*f**2 + 82*f + 62. Calculate the remainder when l(-12) is divided by 83.
64
Suppose -1672 = 8*p - 12*p. Let b = p + -285. Calculate the remainder when b is divided by 35.
28
Let r(v) = -100*v + 90. What is the remainder when r(-3) is divided by 76?
10
Let s be (-38)/(-361) + 576/(-57). What is the remainder when 51 is divided by 20 - ((-5)/s)/((-3)/(-30))?
6
Let a = -2