 remainder when q is divided by 6.
3
Suppose -17 = -4*n + 5*a, 2*a + 9 + 9 = 3*n. Suppose n*x = -10*x + 414. Let l = -6 + 14. Calculate the remainder when x is divided by l.
7
Suppose 145*h - 31578 - 10472 = -0*h. Calculate the remainder when 524 is divided by h.
234
Let x(t) = -30*t - 13. Let q be x(-8). Let v = -93 + q. What is the remainder when v is divided by 85*((-8)/20)/(-1)?
32
Let z(w) = w**2 - 84*w - 710. Calculate the remainder when 139 is divided by z(-8).
9
Let z be (3610/30)/((-1)/3). Let f = 368 + z. What is the remainder when 7 is divided by f?
0
Let c(u) = -4*u + 22. Let h be c(4). Let y be ((-24)/(-16))/((-4)/((-496)/h)). Let p = 37 - y. What is the remainder when 28 is divided by p?
4
Suppose 2*j - 520 = -4*l, 0 = -j - 4*l - 0*l + 246. What is the remainder when j is divided by 132?
10
Let j(z) = 405*z + 819. What is the remainder when 96 is divided by j(-2)?
6
What is the remainder when 428/6*(-285)/(-190) is divided by (-32)/(-1) - (-2)/1?
5
Let i(a) = 11*a - 120. Let q be i(11). Let m(l) = 158*l**3 - l + 1. What is the remainder when m(q) is divided by 28?
18
Suppose 360*o = 381*o - 588. What is the remainder when 166 is divided by o?
26
Let c(z) = 5*z + 31. Let s be c(-5). Let b be 255/s*48/(-20). Let f = -19 - b. Calculate the remainder when f is divided by 13.
5
What is the remainder when 1/5*-1 - (-1466211)/2755 is divided by 77?
70
Let s be (2/(-3))/((-34)/153). Let k(q) = 8*q - 22. Calculate the remainder when (1 - 0)*(3 + 0) is divided by k(s).
1
Suppose 0 = 2*w - 2*m - 782, -376 + 1142 = 2*w + 2*m. Let o = 553 - w. What is the remainder when o is divided by 48?
22
Let l = -82 - -77. Let b be (3/((-45)/276))/(2/l). Let t = 30 + b. What is the remainder when t is divided by 23?
7
Suppose 3*b + 2*b = 25. Suppose -1 = z - b. Calculate the remainder when (-18)/(-1) + 5 - 2 is divided by z.
1
Let d = 25 + -22. Suppose -s = s - 4, 223 = d*v + 5*s. Suppose 5*c - 152 = -4*g, 2*c + 0*c + 5*g - v = 0. Calculate the remainder when 83 is divided by c.
27
Let n be -6*5/(-50) - (-3092)/(-20). Calculate the remainder when (1 - 8 - n) + -6 is divided by -1 + -1 + 3 + 47.
45
Let u(p) = -48*p - 2280. Calculate the remainder when 927 is divided by u(-49).
63
Suppose 17*g + 11 = 28. What is the remainder when (g - 125)*(-3)/6 is divided by (-7)/2*-3*2?
20
Let c be -3 - (1/(-5) - 1368/(-15)). Let a = c + 113. Suppose 50 = -f + 6*f. What is the remainder when a is divided by f?
9
Calculate the remainder when ((-669)/(-5))/(342/1140) is divided by 106.
22
Suppose 3298 - 2943 = 3*x + 2*o, 345 = 3*x + 3*o. What is the remainder when x is divided by (-374)/(-6) + (-2)/6?
1
Let i be 2/(-23) - 7/((-483)/99711). Suppose 5*v = 4*g + i, 4*v - 3*g = 3*v + 300. Calculate the remainder when v is divided by 7.
5
Let n(b) = -8*b - 26. Let j(x) = 2*x - 1. Let d be j(-3). Let u be n(d). Suppose 4*w - u = -w. Calculate the remainder when 21 is divided by w.
3
Let l(v) = -2*v**2 + 40*v - 36. Let q(i) = i**3 - 7*i**2 - 15*i - 10. Let m be q(9). What is the remainder when l(m) is divided by 40?
26
Let f = -301 + 523. Calculate the remainder when f is divided by 4*6 - (18512/(-7120) + -106*(-1)/10).
14
Let n be ((-2)/6)/((126/13635)/(-14)). Let u = -396 + n. Suppose 2*k - 88 = -2*k. What is the remainder when u is divided by k?
21
Let t = -4350 + 4362. Calculate the remainder when 3729 is divided by t.
9
Suppose 0 = 3*i - 5007 - 1347. Suppose 6*m - 18 = i. Let z = -146 + m. What is the remainder when z is divided by 53?
51
Suppose -230 = -2*l + 2*i, 0 = 3*l + 11*i - 10*i - 329. Suppose 0 = -9*z + l + 141. What is the remainder when 89 is divided by z?
5
Let c(b) = 4*b**2 + 98*b + 1799. Calculate the remainder when c(-35) is divided by 8.
5
Let g(k) = 299*k + 3941. Calculate the remainder when 429 is divided by g(-13).
51
Suppose 0 = -7*q + 4*q + 18. Suppose q*s + s = 7. What is the remainder when 55 is divided by (0 + s + 0)/((-23)/(-322))?
13
Let m(w) = -w**2 + 22. Let d be m(11). Let o = d + 235. Calculate the remainder when o is divided by 29.
20
Let r(k) = -k**3 + 7*k**2 + 4*k**2 - 9*k + 13 - 11. What is the remainder when 41 is divided by r(10)?
5
Suppose -70*z + 12*z = 89*z - 6909. What is the remainder when 303 is divided by z?
21
Let m(n) = n**3 + 10*n**2 - 28*n - 80. Let o = 43 + -31. Calculate the remainder when m(-10) is divided by o.
8
Let j(a) = 4*a**2 - 93*a - 468. What is the remainder when j(31) is divided by 127?
112
What is the remainder when 1/((-2 + -10)/(-3576)) is divided by 30?
28
Let r = -3440 - -3516. What is the remainder when 1749 is divided by r?
1
What is the remainder when 597 is divided by (-4 - -152) + -27 + 33?
135
Suppose 7 + 5 = 2*g. Suppose -2*d = -k + 22, g*d = 3*k + 2*d - 66. Suppose f = -5*m + 627, -2*f + k = 2*m - 224. What is the remainder when m is divided by 43?
40
Suppose -4*l = 4*q - 476, -50*q + 2*l - 361 = -53*q. Suppose a + 2 = 36. What is the remainder when q is divided by a?
21
Suppose -552*n + 540*n = -564. What is the remainder when 410 is divided by n?
34
Let a(s) = -2*s**3 - s**2 + 4*s + 5. Let j be a(-2). Suppose 3*t - j = -5*v + 15, 3*v = 5*t - 74. What is the remainder when t is divided by 3?
1
Let m(r) = 11*r**3 + r**2 + 2*r + 4. Let y be m(3). Suppose y = 20*s + 36. Calculate the remainder when s is divided by 4.
2
Suppose 0 = 101*g + 471 - 3721 - 4931. Calculate the remainder when 480 is divided by g.
75
Let m(l) = 4*l. Calculate the remainder when (-21 + (-408)/(-16))*6 is divided by m(4).
11
Let b = 155 - 389. Let h = -141 - b. Suppose -5*x = 10, 0 = -5*i + 3*x + 418 + h. What is the remainder when i is divided by 26?
23
Suppose 472 = 9*a - 1040. Suppose 0 = 5*z + 4*n - 34, -2*n = 3*z - 3*n - 34. What is the remainder when a is divided by z?
8
Let m(c) = 2*c**2 + 2*c - 4. Suppose -82*d - 160*d - 3017 = -35445. What is the remainder when d is divided by m(-3)?
6
Let t be 1/3*9 + (-2 - -412). Suppose -4*m + t = 165. Suppose 37*w - 39*w + m = 0. What is the remainder when 58 is divided by w?
27
Calculate the remainder when 27/(-12)*(-22176)/84 is divided by 140.
34
Suppose 2*l - 202 = -5*u + 190, 4*l - 2*u - 736 = 0. Suppose 5*j + 96 = 2*x, -l = -5*x - j - 0*j. Calculate the remainder when 108 is divided by x.
32
Calculate the remainder when 1 + (-6)/3 - (-399 + 58) is divided by 71.
56
Suppose 72*g - 230 = 82*g. Let p(o) = -o**2 - 24*o - 8. What is the remainder when 117 is divided by p(g)?
12
Let y = -3205 + 3369. What is the remainder when y is divided by 15?
14
Let j(t) = -32*t - 6 + 6 - 57. Let w be j(-8). Suppose -3*f + 65 = -w. Calculate the remainder when f is divided by 30.
28
Let p(s) = 2*s**3 + 2*s**2 + 3*s + 4. Let u = -35622 - -35645. What is the remainder when p(5) is divided by u?
20
Let x = -3813 + 3926. Calculate the remainder when 444 is divided by x.
105
Suppose -166*o + 164*o - 391 = -5*q, -247 = -3*q - 5*o. What is the remainder when q is divided by 5?
4
Suppose -5*a + 909 = -4*v + 5*v, 3*v + a - 2727 = 0. Let p = v - 881. What is the remainder when 48 is divided by p?
20
Suppose 2*m = 6, 0 = 5*u + 4*m - 565 - 607. What is the remainder when u is divided by (104/10 - (-18)/(-45)) + (17 - 21)?
4
Let m(l) = -278*l - 2712. Calculate the remainder when 192 is divided by m(-10).
56
Let m = 1904 + 1704. What is the remainder when m is divided by 172?
168
Let l be 2 + (-8)/5 + 72/120. Calculate the remainder when 137 is divided by (l/4)/((-2)/(-376)).
43
Let v(f) = 5*f**2 + 7*f + 1. Let d be v(-5). Suppose 0 = -8*t + d - 235. Calculate the remainder when 83 is divided by (-5)/(t - -3)*(-126)/(-2).
20
Let x = 14 - -5. Suppose -t - 3 = -x. Suppose 5*q + 0*y = 4*y + 205, -5*q - 2*y = -205. What is the remainder when q is divided by t?
9
Let r = -15 - -21. Suppose 4*t - 140 = -4*x, t = x - 19 - r. Suppose -25*f + x*f = 110. Calculate the remainder when 108 is divided by f.
20
Let i(h) = -h + 32 - 13 - 17. Let v(p) = -16*p - 5. Let o(z) = -2*i(z) + v(z). What is the remainder when o(-1) is divided by 5?
0
Suppose 460 = 3*n + 2*n. Calculate the remainder when n is divided by (-25228)/(-1054) + 18/279.
20
Let a be 0*((-33)/(-6) + -6). Suppose 56*o + a*o = 1512. Calculate the remainder when 74 is divided by o.
20
Suppose 5*v = 5*q + 90, -5*v + 105 = 4*q - 6*q. Calculate the remainder when