 the remainder when 4132 is divided by q.
24
Let q = 1 + 1. Suppose -3 - q = -5*f. What is the remainder when f + 48 - (-8)/((-6)/3) is divided by 12?
9
Suppose -192 - 27 = -3*c. What is the remainder when c is divided by (13/6)/(8/48)?
8
Let t = 122 - 76. Let g = -44 + t. Suppose -j + g = -44. Calculate the remainder when j is divided by 8.
6
Suppose f = w + 447, f - 559 = -w - 98. Calculate the remainder when 468 is divided by f.
14
Suppose -l + 3*k = -2*k - 318, 3*l + k - 1034 = 0. What is the remainder when l is divided by 162?
19
Let b = 1523 + -1501. What is the remainder when 219 is divided by b?
21
Let c = -19 - -24. Suppose -q = 5*u + 6, 0 = -0*u - c*u - 4*q - 9. What is the remainder when 113 is divided by 696/36 - u/(-3)?
18
Let s(w) = -w**3 + 40*w**2 - 35*w - 70. What is the remainder when 687 is divided by s(39)?
85
Let c(y) be the first derivative of y**4/4 - 2*y**3/3 + 2*y + 17. Let z be c(2). Calculate the remainder when 31 - (4/1 - (z + -1)) is divided by 16.
12
Suppose -44*u + 38*u + 9990 = 0. Suppose -18*k + 3*k = -u. Calculate the remainder when k is divided by 48.
15
Let c(k) = -k**2 + 40. Let m be c(6). Suppose 1100 = l + m*l. Suppose 5*j + 3*z - 235 = 0, 3*j + 4*z = 7*j - l. Calculate the remainder when j is divided by 13.
11
Suppose 5*b - 142 = 2*l, -45*b + 49*b - 98 = -l. Let f(a) = 10*a**2 - a - 2. What is the remainder when f(-2) is divided by b?
14
Let z be ((-75)/21 - -4) + 1285/7. Let h be z/(-18) + 2 + 32/(-18). Calculate the remainder when 42 is divided by (h/(-15))/((-64)/33 + 2).
9
Suppose 32613 = -46*h + 90159. Calculate the remainder when h is divided by 57.
54
Let q be (1/(-3))/(((-4)/(-18))/(-2)). Suppose q*i = -24 + 30. Suppose -14*s + i*s + 300 = 0. What is the remainder when 116 is divided by s?
16
Suppose 4*r - 3603 = 5*j, -28*j + 2700 = 3*r - 31*j. What is the remainder when r is divided by 31?
29
Let o = 31 + -26. Suppose o*w + 1240 = 10*w. Let i = w + -170. What is the remainder when i is divided by 17?
10
Suppose -37 + 949 = -6*z. Let s = z - -231. What is the remainder when s is divided by -1*1*(-3 + -20)?
10
Let j = -20 - 121. Let d = 157 + j. What is the remainder when 28 is divided by d?
12
Let u = -290 + 389. Let v = 314 - u. Calculate the remainder when v is divided by 36.
35
Suppose 3*j + 6 = 3*b, -j + 10 = 3*j + 2*b. What is the remainder when (90/(-40) - -11)/(-2*(-1)/24) is divided by (3 - (3 - j))*27?
24
Let m(b) = 2*b**3 - 33*b**2 + 138*b + 18. Suppose -c + 4*c - 6 = 0. What is the remainder when m(8) is divided by c?
0
Let l = 21 + -21. Let u be ((1 - l) + 0)*5. Suppose 4*n = -3*z - 9 + 1, -3*z - u*n = 13. Calculate the remainder when 9 is divided by z.
1
What is the remainder when 538 is divided by ((-38)/((-988)/(-273)))/(2/(-8))?
34
Let q(y) = -y**3 - 11*y**2 + 4*y + 10. Let x be q(-11). Let h = x - -7. Let g = h + 30. What is the remainder when g is divided by 3?
0
Let r = 110 + -99. Suppose 0 = -m + 3*n + 4, 2 = -m + n + 6. Suppose 0 = -b - 4*v + 44, -4*b = -m*v + 87 - 363. Calculate the remainder when b is divided by r.
9
Let w(h) be the third derivative of -15*h**4/8 - 5*h**3/3 + 88*h**2. Calculate the remainder when 136 is divided by w(-1).
31
Let h(z) = -3*z - 8. Let w be h(-3). What is the remainder when (39/5)/(w/20) is divided by 32?
28
Suppose 4*z + 2*u - 454 = 0, 12*z - 262 = -2*u + 1112. What is the remainder when z is divided by 76?
39
Let z = -15702 + 19082. Calculate the remainder when z is divided by 36.
32
Suppose -11*w + 30*w - 972 = 13*w. Calculate the remainder when 1131 is divided by w.
159
Let b be -12*4/(-360) - (-5522)/(-15). Let i = 445 + b. Calculate the remainder when i is divided by 49.
28
Let g(x) = 5*x - 169. Let l be g(35). Calculate the remainder when (15/l)/5 - 2831/(-38) is divided by 16.
11
Let i(n) = 303*n**3 + 20*n**2 - 28*n + 6. Calculate the remainder when 2680 is divided by i(1).
272
Let j = 10570 + -10475. Calculate the remainder when 566 is divided by j.
91
Suppose 1868 = 40*b - 3*b - 2276. Calculate the remainder when 4255 is divided by b.
111
Let z(l) = 4*l**2 + 24*l + 30. Let q be z(-9). Suppose -454 - q = -4*c. Suppose -5*x + x = -c. Calculate the remainder when 221 is divided by x.
36
Let r = -5 - 1. Suppose 5*s - 189 = -4*s. Calculate the remainder when 24 is divided by 3/(s/14) + (-1 - r).
3
Suppose 5*r - 160 = 4*q, -3*q = 2*r - 20 - 44. Suppose 0 = -b + 98 + 24. Calculate the remainder when b is divided by r.
26
Let a(m) = -m**2 - 23*m - 33. Let r(h) = -h**2 + 13*h - 2. Let i be r(11). Let x = i - -13. Calculate the remainder when a(-10) is divided by x.
31
What is the remainder when (11 - (-18 - -32)) + 404*1 is divided by 11?
5
Let l = 462 - 446. What is the remainder when 991 is divided by l?
15
Let h = 15 + 219. Suppose h*a - 237*a + 318 = 0. Calculate the remainder when a is divided by 36.
34
Suppose 3*l - 382 = -11*r, 3*l - 2*r - 133 = 184. Calculate the remainder when 488 is divided by l.
52
Suppose 0*h - 15 = -5*h. Suppose 0 = -h*g + 15, 0*g + g = -3*y + 65. What is the remainder when 57 is divided by y?
17
What is the remainder when -2 + 0 + 1552/14 + (-19)/(-133) is divided by 88/(-6)*3/(-2)?
21
Let x(q) = 5*q**3 + 9*q + 24. Let t be x(-3). Let n = t - -233. What is the remainder when n is divided by 42?
11
Let b(t) = 31*t - 14*t - 8*t - 48 + 16. Calculate the remainder when b(10) is divided by 10.
8
Let r(f) = f**3 + 2*f**2 + 3*f - 95. What is the remainder when r(7) is divided by 20?
7
Suppose -9*l - 36 = -7*l. Calculate the remainder when 37*-6*(-3)/6 is divided by (-24)/(-1)*l/(-27).
15
Suppose 5*p = -d + 11155, 2*p - 5*d - 1728 = 2707. Calculate the remainder when (-15)/40 + p/16 is divided by 47.
45
Suppose 3*a = 34*x - 30*x - 518, 0 = -5*x + 2*a + 644. What is the remainder when x is divided by 75?
53
Let v be (-104)/28 + 4 - 46/14. Calculate the remainder when 19*(v + 9)/6 is divided by 8.
3
Let o(a) = -a**3 + 23*a**2 + 39*a - 30. Let f be o(25). Let h = -255 - f. Calculate the remainder when h is divided by (-1)/(0 - 2/26).
11
Calculate the remainder when -189*(4 - -2 - 2)/(255/(-85)) is divided by 82.
6
Suppose 19636*a - 19618*a - 1116 = 0. What is the remainder when 188 is divided by a?
2
Let b = -19548 - -30370. Calculate the remainder when b is divided by 24.
22
Let w(n) = n + 99. Let a(f) = -2*f - 17. What is the remainder when w(18) is divided by a(-16)?
12
Suppose 4*k - 20 = 0, 4*b + 205 = 4*k + 349. What is the remainder when 50 is divided by b?
9
What is the remainder when 4 - (-1 + (9 - -4) + -12) is divided by 1?
0
Suppose -3103 - 187 = -35*d - 59*d. Let z = 12 - 8. Let o = 2 + z. What is the remainder when d is divided by o?
5
Let j(o) = 103*o**3 - 6*o**2 + 9*o - 1. What is the remainder when 641 is divided by j(1)?
11
Suppose 0 = 102*p + 42*p + 48*p - 36480. What is the remainder when 926 is divided by p?
166
Suppose 51 - 12 = 4*z - 3*c, 4*z - 38 = 2*c. Let a(d) = d**2 - 6*d - 18. What is the remainder when a(z) is divided by 8*(-2 + (-22)/(-8))?
3
Suppose 0 = -4*m + 288 - 260. Suppose p = -m + 17. Calculate the remainder when 698 is divided by p.
8
Suppose -4*j - 40 = -4*s, 3*s - 118*j = -116*j + 45. Suppose -39 = -5*c + 1. Let h = c + 3. What is the remainder when s is divided by h?
3
Suppose -2*x - 6973 - 3015 = 0. What is the remainder when 358 is divided by (-1)/(-12) - x/264?
16
Suppose -2*n + 65 = -3*k, n - 40 = -2*k - 11. Suppose 0 = n*t + 252 - 1027. What is the remainder when 54 is divided by t?
4
Let q = 9346 - 498. Calculate the remainder when q is divided by 59.
57
Let n(c) = 26*c**2 - 2*c - 1. Let q = -6840 + 6899. What is the remainder when n(-2) is divided by q?
48
Suppose -4*r = -8, 3*u = 5*r - 0 - 10. Suppose 11*c = -u*c + 99. Calculate the remainder when 115 is divided by c.
7
Let i(h) = -h**2 + 38*h - 217. Suppose -6 = -6*o + 30. What is the remainder when i(9) is divided by o?
2
Let a be 2 + (-3 - -6) + -267. Let s = a - -330. What is the remainder when s is divided by 43?
25
Suppose -3496 + 17888 = 76*a - 3468. What is the remainder when a is divided by 72?
19
Let j = -18958 + 19143. What is the remainder when 1317 is divided by j?
22
Suppose 3*i = h - 5 + 2, 5*h + 1 = -i. Let n(d) = 675*d**2 - 3*d. Calculate the remainder when n(i) is divided by 40.
38
Suppose 4*t - 5*t - 2*