e the remainder when 10886 is divided by m(-10).
6
Let u = 40 - 8. Suppose u*q = 28*q + 20. What is the remainder when 12 + 0 + (1 - 0) is divided by q?
3
Suppose 17*m = -7*m + 66720. What is the remainder when m is divided by 174?
170
Let f = -316 - -2310. Calculate the remainder when f is divided by 35.
34
Let w(t) = 24*t - 6. Suppose 38*g - 1164 = -94*g + 24. Calculate the remainder when w(5) is divided by g.
6
Let b(j) = 39*j - 2812. What is the remainder when 958 is divided by b(77)?
3
Suppose 4*i + 3*m - 675 = 4*m, -160 = -i + 2*m. Let s = i + -97. Suppose -2*d - 4 = 0, 2*d = 2*l - 85 - s. Calculate the remainder when l is divided by 13.
12
Let y(h) = -2*h**3 - 7*h**2 + 12*h - 7. Let k be y(-7). Suppose k = -5*v - v. Calculate the remainder when 103 is divided by (v/(-5))/((-4)/(-10)).
19
Let s(d) = 4*d - 2. Let c be s(4). Let k = -2431 + 2507. Let v = k - c. What is the remainder when v is divided by 21?
20
Suppose 5*i - 157 = -2*k, -2*k + 145 + 39 = -4*i. Suppose -3*b + 2*b - 4*x = -245, -5*b - 4*x = -1289. Calculate the remainder when b is divided by k.
3
Let k(v) = 5*v**2 + 31*v + 9. Let c be k(-8). Suppose -9*t + c = 9. Suppose 5*y = 2*y + 6. What is the remainder when t is divided by y?
0
Let l(w) = -w + 9. Let n be l(7). Let x be (-24)/(-18)*(-441)/(-12)*n. Let v = x - 48. What is the remainder when v is divided by 14?
8
Suppose 4*h = -5*a + 322, 0 = -2*a - a - 3*h + 195. Let i = 9 - a. Let x = -25 - i. Calculate the remainder when x is divided by 15.
13
What is the remainder when (-126)/(-21)*(-4 - (-5 - (-37225)/(-10))) is divided by 114?
111
Let a = -5158 + 5291. What is the remainder when 302 is divided by a?
36
Let x(c) = 3*c**2 + 2*c + 4. Calculate the remainder when (-2 - (-1149)/15) + 6/15 is divided by x(-4).
31
Suppose 0*b - 5*b = 0. Suppose b = -6*l + l + 50. Suppose -3*g - 4*j + 282 = 171, -3*g - 6*j = -117. Calculate the remainder when g is divided by l.
3
Let w = -201 + 459. Suppose -1322 + w = -19*p. Calculate the remainder when 164 is divided by p.
52
Let b = -62 - -89. Suppose -4*i - 628 = 2*j - 2578, 3*j = -3*i + 1461. Let k = i + -302. Calculate the remainder when k is divided by b.
24
Calculate the remainder when 353 is divided by (((-2)/(-10))/((-32)/9440))/(-1).
58
Suppose 2*g + 4*p = 2551 - 2441, -g + 41 = -5*p. Calculate the remainder when 4640 is divided by g.
50
Let b = 768 + -760. Calculate the remainder when 326 is divided by b.
6
Let d(y) = -9*y**3 + 1 + 100*y - 2*y**2 - 100*y. Let k = 145 - 19. Calculate the remainder when k is divided by d(-1).
6
Suppose -92 = -3*o - 2*w, 0 = o + o - w - 73. Let u = o + -18. Suppose 0*q = 5*r + 5*q - 415, 4*r = -5*q + 336. What is the remainder when r is divided by u?
15
Let r = -862 + 864. Calculate the remainder when 49 is divided by r/(-4)*(-71 + 29).
7
Let k(z) = 107*z + 19. Let r = -641 + 671. What is the remainder when k(4) is divided by r?
27
Let v(h) = h**3 - 18*h**2 + 53*h + 143. What is the remainder when v(15) is divided by 24?
23
Suppose 0 = 4*s + j - 456, -j + 87 = 83. Calculate the remainder when s is divided by 44.
25
Suppose 3*t = 2*h - 7 - 87, -2*t - 94 = -2*h. Suppose 137*u - 142*u = -120. Calculate the remainder when h is divided by u.
23
Suppose -n + 5 = g - 0, 2*n + g = 9. Suppose 62 = -n*s + 190. What is the remainder when 61 is divided by s?
29
Suppose 0 = 15*r - 1183 + 37 - 1179. Calculate the remainder when r is divided by 69.
17
Let f(i) = -i**2 + 6*i + 41. Let d be f(10). Let y(n) = -2*n**3 - n**2 + 1. Calculate the remainder when (d - 34)*(-40)/30 - -6 is divided by y(-2).
11
Suppose -4*j = 12, -2*j - 95 - 221 = -5*q. Calculate the remainder when 205 is divided by q.
19
Let k = -129 - -153. Suppose -3*a = -5*a + 122. Calculate the remainder when a is divided by k.
13
Suppose -6 = -2*g - 50. Let c = g + 41. Suppose 3*q = -3*n + 36, -3*q + 0*q + 50 = 5*n. What is the remainder when c is divided by n?
5
Let o(x) = x + 11. Let a be o(-9). Suppose a*c = -j + 6, 3*c - 23 = 4*j - 2*j. What is the remainder when c is divided by 3?
2
Let n(y) = 624*y**3 + 4*y**2 + 9*y - 12. Let c be n(1). Let d = c - 579. What is the remainder when (-58)/4*(-22)/1 is divided by d?
43
Suppose -54*r + 936 + 684 = 0. What is the remainder when 21869 is divided by r?
29
Suppose -6*k - 41*k + 8366 = 0. Calculate the remainder when 560 is divided by k.
26
Let s = 359 + -347. Suppose 0*l = 5*l - 15. Suppose -43 = -m - 4*k, -5*m + 0*m - l*k + 198 = 0. What is the remainder when m is divided by s?
3
Suppose -3*k + 1042 = -8*l - 263, -3*k + 2*l = -1341. What is the remainder when k is divided by 163?
125
Let k = 1 + 1. Let f = 6 + -2. Suppose -f*o + 486 = -3*h, -5*o + k*o + 358 = h. What is the remainder when o is divided by 41?
38
Let k(g) = 8*g**3 + g**2 + g - 2. Let q be k(1). Suppose -28 + q = -4*z. Let j = 27 + -3. What is the remainder when j is divided by z?
4
Suppose -119*d = -121*d + 2*i + 96, 0 = -3*d + 5*i + 154. Calculate the remainder when 730 is divided by d.
42
Let i = 2428 + -1320. Calculate the remainder when i is divided by 360.
28
Suppose 0 = 5*z - 6 - 4. Suppose 40 = z*y - 10*y. Let m(o) = 3*o**2 + 13*o + 5. What is the remainder when 39 is divided by m(y)?
9
Suppose -11*c + 48980 = -8*c + 17*c. Calculate the remainder when c is divided by 91.
83
Suppose 5*h - 12 = 2*i, 3*h - 7 - 21 = -4*i. Suppose 0 = -i*p + 155 - 127. What is the remainder when 60 is divided by p?
4
Let t(q) = -3*q**2 - 68*q + 11. What is the remainder when t(-12) is divided by 21?
17
Let n(r) = -r**3 - 2*r**2 + 7*r + 16. Suppose -14*b + 38 = -12*b. Suppose 0 = -12*a + b*a - 133. Calculate the remainder when n(-5) is divided by a.
18
Suppose -5*z + 11 = 1, m + 3*z - 23 = 0. Suppose -11*j = -0*j - 649. Calculate the remainder when (-1)/(3/(-1) - -2)*j is divided by m.
8
What is the remainder when ((-93)/(-9))/(23/138) is divided by 38?
24
Let y(w) = -5*w**2 + 75*w + 10. Calculate the remainder when y(11) is divided by 116.
114
Let l = 19 + -26. Let z(x) = -1. Let s(r) = -r**3 - 5*r**2 + 17*r + 3. Let k(v) = -s(v) + z(v). Calculate the remainder when 33 is divided by k(l).
16
Let a = -4160 - -4170. What is the remainder when 4257 is divided by a?
7
Suppose -5*g + g + 360 = 0. What is the remainder when g is divided by (693/63 - 6/(-1)) + 6?
21
Let h = 22223 + -22008. What is the remainder when 1284 is divided by h?
209
Suppose -11 = -3*x + 2*x. Let i be 133/(-9) - (-6)/(-27). What is the remainder when x is divided by ((-4)/12)/(1/i)?
1
Let n(i) = i**3 - i**2 - 2*i + 482. Let l be n(0). Suppose -l = -43*m + 464. What is the remainder when m is divided by 12?
10
Suppose t + 9*j - 8*j - 3546 = 0, -5*j = -5*t + 17670. What is the remainder when t is divided by 42?
12
Let u(t) = 102*t - 689. Suppose -15*h + 6 = -s - 10*h, 2*h - 10 = 0. What is the remainder when u(8) is divided by s?
13
Suppose 4*m - m = 0. Suppose m = 27*o - 4*o - 391. What is the remainder when 30 is divided by o?
13
Let o = -57 - -150. Suppose -153 - o = -6*j. Calculate the remainder when j is divided by 14.
13
Let q = -285 + 412. Let i = q + 24. Calculate the remainder when i is divided by 32.
23
Let m(b) = b**3 - 7*b**2 + 10*b + 7. Let q(c) = 3*c**2 + 56*c - 281. What is the remainder when m(8) is divided by q(-23)?
7
Let p be (-1008)/(-3)*(20/8)/5. Calculate the remainder when 73 is divided by p/30 + -5 + (-546)/(-15).
36
Let r = -131 + 130. What is the remainder when -2*r/2 - -116 is divided by 17?
15
Suppose 38 = 37*y - 110. Suppose -y*j + u + 221 = 0, -6*u + 2*u + 12 = 0. Calculate the remainder when 155 is divided by j.
43
Let a(j) = -j + 8. Let n be a(4). Suppose -21*m + 467 + 4804 = 0. What is the remainder when n/(-20) + m/5 is divided by 18?
14
Let k(y) = 50*y + 28. Let s be k(6). Let w = 430 - s. What is the remainder when w is divided by 35?
32
Let w(s) = 10*s - 10. Let t be w(15). Let l = -83 + t. Suppose -80 = -c - l. What is the remainder when c is divided by 6?
5
What is the remainder when (-184 - 4)*(-65)/10 is divided by 18?
16
Let z(s) = 14*s + 199. Suppose -4*t = 4*n - 528, -3*n + 129 = t + n. Calculate the remainder when t is divided by z(-11).
43
Let c = 24285 + -23843. Calculate the remainder when c is divided by 433.
9
Suppose 4*h - 14*h + 40 = 0. Suppose -3*m = -5*l + 6, -12 = -0*l - h*l. Wha