when 1822 is divided by t.
40
Let c = -12241 + 12276. What is the remainder when 4652 is divided by c?
32
Let r(u) = u**3 - 5*u**2 + 11*u - 47. What is the remainder when r(6) is divided by 31?
24
Let m(p) = p**2 + 39*p - 383. Suppose -2*z - 5*k = -51, -6*z + 2*k + 113 = -z. What is the remainder when m(10) is divided by z?
15
Let s(g) = -14*g + 630. Calculate the remainder when 1248 is divided by s(35).
128
Let n(l) = l**2 + 8. Let o = -252 - -328. Calculate the remainder when n(7) is divided by (o/2 + -8)/(1 + 1).
12
Let d(h) = -741*h - 1778. What is the remainder when 1343 is divided by d(-3)?
8
Suppose 15*y - 54 = 12*y. Suppose 0 = -4*n + y - 98. What is the remainder when (430/n)/(6/(-4) - -1) is divided by 12?
7
What is the remainder when (2192/64 + -5)*64/12 is divided by 137?
19
Let w = 1989 + -1967. Suppose 224 + 360 = -4*i. Let g = -104 - i. Calculate the remainder when g is divided by w.
20
Let b = 2172 - 1426. What is the remainder when b is divided by 17?
15
Let l be (-10 + 0)/(2/(-2 + 1)). Suppose -2*n + 18 = -l*b, -15*n + 3*b = -10*n - 45. What is the remainder when 15 is divided by n?
6
Suppose 337*t = 503*t - 37350. Let r = -30 + 68. What is the remainder when t is divided by r?
35
Let n(b) = -5*b**3 - 164*b**2 + 9*b - 58. What is the remainder when n(-33) is divided by 140?
34
Suppose -3*c - 34*c - 19920 = -85*c. What is the remainder when c is divided by 52?
51
Suppose 6*v - 3*v - 4*h = 7, -3*v + 9 = -3*h. Suppose 2*d + v = 15. What is the remainder when 19 is divided by d?
4
Let z = -26 + -5. Let m(r) = -r**2 - 35*r - 117. What is the remainder when 82 is divided by m(z)?
5
Let b = -839 - -848. Calculate the remainder when 196 is divided by b.
7
Let s(j) = -j**2 - 40*j + 694. Calculate the remainder when 217 is divided by s(-52).
7
Suppose 6 = 3*h, 168*h - 164*h - 3040 = -4*g. Calculate the remainder when 1545 is divided by g.
29
Let u = -6125 - -6132. Suppose -16 = -2*j - 3*c, 2*c + 6 = -j + 4*c. Suppose -i - 3*r = j*r + 3, 0 = r + 3. Calculate the remainder when i is divided by u.
5
Suppose -j - f + 14 = 0, -15*f - 63 = -4*j - 12*f. What is the remainder when 94 is divided by j/(-4)*180/(-27)?
19
Suppose -5*h - 5*r = 2970, -2*h + 2*r - 668 - 536 = 0. Let j = 35 + -20. Calculate the remainder when (h/(-130))/(1/10) is divided by j.
1
Suppose 5*s - 522 = -17. Let d = 10 + 3. What is the remainder when (0 - 5/(-5))*(s + 2) is divided by d?
12
Suppose 0 = -32*z + 2381 - 1485. Calculate the remainder when 353 is divided by z.
17
Suppose 2*q - 221 = 27. Calculate the remainder when 2227 is divided by q.
119
Suppose 0 = 114*w - 105*w - 180. Let t(g) = -g**3 - 24*g**2 - 33*g + 28. What is the remainder when t(-23) is divided by w?
18
Suppose 168 - 607 = -5*d - 3*l, 4*d - 332 = 4*l. Calculate the remainder when 3353 is divided by d.
85
Let v be (((-1284)/3)/2)/((-7)/21). Suppose v = -8*a + 14*a. Suppose -112*n + 185 = -a*n. What is the remainder when n is divided by 14?
9
Let r(q) = 55*q**2 - 3*q - 8. Let k(f) = 56*f**2 - 4*f - 11. Let p(h) = -2*k(h) + 3*r(h). Let l = -8 + 7. What is the remainder when p(l) is divided by 28?
24
Let z(l) be the first derivative of -2*l**2 - 5*l + 3. Suppose 0 = -15*c + 1199 + 166. What is the remainder when c is divided by z(-7)?
22
What is the remainder when 529 is divided by -2*3 - 10/40*-12 - -12?
7
Suppose 2*q - 42 = -y, -4*y + q + 4813 = 4618. Suppose -3*b - 24 = b. Calculate the remainder when y is divided by (25/(-3))/(2/b).
23
Suppose 5*u + 61 = 2*u + 4*t, 0 = -2*t + 2. Let x(y) = 2*y + 79. What is the remainder when x(u) is divided by 16?
9
Let b = 210 + -23. Let a = -273 + 274. What is the remainder when b is divided by (47/3)/(a/(1 + 2))?
46
Let s(y) = y**2 + 4*y + 6. Let x = -214 + 209. Calculate the remainder when 25 is divided by s(x).
3
Let k = 8418 - 7383. Calculate the remainder when k is divided by 37.
36
Suppose f + 5*x + 3 = 0, 4*x + 12 = -5*f + 60. What is the remainder when 29 is divided by (-112)/f*36/(-48)?
1
Let y be 7*(5 + 14) + 6. Let t = -124 + y. Suppose -56 = 3*o - 137. Calculate the remainder when o is divided by t.
12
Let a = 12756 - 10739. What is the remainder when a is divided by 253?
246
Suppose 2*k = -y - 3*k + 875, 0 = -4*y - 4*k + 3420. Let h = 881 - y. Calculate the remainder when 306 is divided by h.
27
Let p = -4 - 124. Let b = 184 + p. What is the remainder when 559 is divided by b?
55
Suppose 2*x - 3*l - 1 = 0, -l = -3*x + l + 9. Suppose -x*m - 15 = 0, n = 4*m + 5 + 13. Calculate the remainder when n is divided by 3.
0
Suppose 36*r + 79 = 20*r + 399. Calculate the remainder when r is divided by (-10)/3*(-12)/5.
4
Suppose 0 = 6*h + h - 17794. Calculate the remainder when h is divided by 106.
104
Suppose 504 = 3*a + 135. Suppose j = 5*c - a, -5*c + 120 = 5*j + 15. Calculate the remainder when 68 is divided by c.
20
Let g(k) = -75*k - 1347. What is the remainder when 449 is divided by g(-19)?
59
Let v = 7963 + -7919. Calculate the remainder when 12363 is divided by v.
43
Suppose 3*g = -21, -13*h - g + 161 = -9*h. What is the remainder when 1592 is divided by h?
38
Calculate the remainder when 2/((-112)/280*10/(-5132)) is divided by 12.
10
Let h(d) = 11*d**2 + 3*d - 3. Let f = -332 + 209. Let z = f - -140. What is the remainder when h(2) is divided by z?
13
Let j(f) = f**3 - 6*f + 4*f**2 - 15*f**2 + 3 + 8*f**2 + f**2. What is the remainder when 188 is divided by j(5)?
44
Let g = 13281 - 12922. Calculate the remainder when 366 is divided by g.
7
Calculate the remainder when -15 - (-15 + -10) - -521 is divided by 175.
6
Let f(u) = 4*u**3 + 14*u**2 + 6*u + 6. Let h be f(-6). Let c = h + 471. Calculate the remainder when 159 is divided by c.
78
Suppose -8827 = -137*p - 3621. Calculate the remainder when 864 is divided by p.
28
Let a be (-52 + 56)/((-8)/(-530)). What is the remainder when (-1)/(a/(-260) - -1) is divided by -2*28/(1*-2)?
24
Suppose 29*o + 2*h = 32*o - 106, 0 = -h + 1. What is the remainder when 268 is divided by o?
16
Suppose 0 = -t - t - 4*r + 984, 1476 = 3*t - 2*r. Let s = t + -222. Calculate the remainder when s is divided by 16.
14
Let q(s) = -s**3 + 10*s**2 - 16*s + 10. Suppose 96 = 3*g + 2*y, y - 15 = -4*y. Calculate the remainder when q(6) is divided by g.
28
Let a(m) = -5*m - 14. Let s be a(28). Let r = s - -179. Let l = 9 - 0. What is the remainder when r is divided by l?
7
Let q(v) = -47*v**3 - v**2 - v. What is the remainder when q(-1) is divided by -24*(15 - 1)/(-28)?
11
Suppose 49*w = 26*w + 32 + 911. Calculate the remainder when 1179 is divided by w.
31
Let d = -19810 + 19853. What is the remainder when 817 is divided by d?
0
Suppose 2*t - 8 = 0, -6 = 2*s - 4*s - t. Let l be (4 - 4)/(1 + s). Suppose 3*h + 26 = 5*w, 2*w + 4*h = -l*w. Calculate the remainder when 6 is divided by w.
2
Let d(m) = -m**3 + 45*m**2 - 165*m + 52. What is the remainder when 87*(-4)/(-72)*6 is divided by d(41)?
7
Calculate the remainder when 1/(-3) - (-92555)/321 is divided by 23.
12
Let x(c) = c**2 - 10*c - 12. Let o = -33 + 38. Suppose 2*v - 10 = 0, 4*u - 4*v + o*v - 133 = 0. What is the remainder when u is divided by x(12)?
8
Let l = 348 - 345. Calculate the remainder when (l - 5)*(355/(-2))/5 is divided by 12.
11
Suppose -3*l = 6*l - 27. Let b = 5 + l. What is the remainder when 22 is divided by b?
6
Let n(s) = 0*s**2 + s**2 + 4*s**2 - s + 187 - 190. What is the remainder when n(-4) is divided by 21?
18
Calculate the remainder when (-4914)/(-4) - -1*(-20)/(-8) is divided by 7.
6
Let p = 26 - 26. Suppose -3*r - 5*h - 3 = p, 4*r + 5*h = -6 + 2. What is the remainder when 68 is divided by ((12/(-8))/r + -1)*20?
8
Let y = -7 - 2. Let j = y + 12. Suppose -225 = -5*h + 2*d, h + j*d = -4*h + 225. What is the remainder when h is divided by 17?
11
Let f = 9 + 6. Suppose 10*j - f = 125. What is the remainder when 69 is divided by j?
13
Let t = -3364 - -3384. Suppose -5*x = -x - 864. What is the remainder when x is divided by t?
16
Suppose -518 - 421 = -29*g - 852. Calculate the remainder when 119 is divided by g.
2
Let a(z) = 2*z**2 - 6*z + 3. Let q be a(2). What is the remainder when 251 is divided by 46 + q*1 + 6/(-2)?
41
Suppose -195*c + 77360 = 335. Calculate the remainder when c is divided by 131.
2
Let i = -11 + 26. Suppose 3*z + 92 - 461 = -3*r, 3*z + 159