l is divided by i.
30
Let d(i) = -i**2 + 107*i - 2340. What is the remainder when 111 is divided by d(31)?
15
Let r = 50 + -43. Suppose -u - 6*u = -r. Calculate the remainder when (u + 3 + -3)*10 is divided by 7.
3
Suppose 11*i = 33*i - 44. Suppose -49*c + 51*c - 242 = i*t, 5*c - 603 = 3*t. What is the remainder when c is divided by 27?
12
Let p(h) = -h**2 + 81*h - 606. Calculate the remainder when 155 is divided by p(9).
29
Suppose 28 - 3 = 5*m + 5*j, j + 4 = 2*m. Suppose -m*l = 3*o - 39, o - 2*l - l - 9 = 0. What is the remainder when 43 is divided by o?
7
Let k = -12962 + 13194. Calculate the remainder when 9740 is divided by k.
228
Let j = -191 - -281. Suppose 330 - 298 = 4*b. What is the remainder when j is divided by b?
2
Calculate the remainder when 315 is divided by 37 + (-60)/(-12) + -9.
18
Let f(j) = 88*j**2 + 2*j + 1. Suppose l - 235 = p, -18*p + 17*p = 5*l + 265. Let y = -218 - p. What is the remainder when f(-1) is divided by y?
21
Suppose 4*x - 5*u - 147 = 0, u = 5*x - 125 - 85. What is the remainder when x is divided by 14?
1
Suppose -484*h + 441*h = -2193. Calculate the remainder when 164 is divided by h.
11
Suppose 5*d - 4*x = -6*x + 21, 0 = 2*x - 6. Let i = d - 40. Let w = i + 48. What is the remainder when 38 is divided by w?
5
Let q(y) = -y**2 - 2*y + 1309. Calculate the remainder when 1183 is divided by q(34).
78
Suppose 0 = -5*y + 5*f - 55865, 6*y - 2*f + 55880 = y. Let l(p) = 4*p + 2. Calculate the remainder when (y/(-405))/((-7)/(-5) - 1) is divided by l(5).
3
Suppose 0 = -k + i + 25, 19*k - 23*k = -2*i - 94. Suppose 4*y - 525 = -4*v + 3*y, -v + 150 = 4*y. Calculate the remainder when v is divided by k.
20
Suppose 762*l = 114*l - 420*l + 190104. Suppose -5*q + 2*f = -f - 174, -3*q + 3*f = -102. What is the remainder when l is divided by q?
34
Let y = 87 - -414. Let j(z) = -z**2 + 35*z + 1479. Calculate the remainder when y is divided by j(59).
60
Let a(w) = -w**3 + w**2 + 3*w + 2. Let s be a(-1). What is the remainder when 149/5 - ((-18)/(-10) + -2) is divided by (1 - 4) + (s - -13)?
8
Suppose -5*t = -5*o + 9*o - 1483, 2*t - 6 = 0. Calculate the remainder when 1070 is divided by o.
336
Let r(i) = -i**3 - 16*i**2 - 66*i - 35. Calculate the remainder when r(-10) is divided by 12.
1
Suppose -2*d + 72 = -98. Let f(y) = y**2 - 11*y - 220. Suppose 4*o + 2*m - 86 - 6 = 0, 136 = 6*o + 2*m. What is the remainder when d is divided by f(o)?
19
What is the remainder when (-24)/((-238)/(-1008) - 2/8) is divided by 19?
18
Suppose 360*n - 309630 - 359871 = -152181. Calculate the remainder when n is divided by 7.
2
Suppose 4*s + t = 13, -s + 144 = -5*t + 125. Let z(p) be the first derivative of -p**3/3 + 3*p**2 - 5*p - 6. What is the remainder when s is divided by z(4)?
1
Suppose -10*j = -11*j + 739. Suppose 4*n + n + l - j = 0, -3 = 3*l. Calculate the remainder when n is divided by 19.
15
Suppose -8*g + 5*p = -12*g + 145872, 0 = 4*g - 4*p - 145944. Calculate the remainder when g is divided by 192.
190
Suppose -3 = -4*l + 5. Let q(f) = 3*f**2 + 3*f - 6. Let p be q(-4). Suppose -5*o = 3*d - p, d = -2*o - l*d + 21. What is the remainder when 3 is divided by o?
0
Let w = -35031 + 35694. What is the remainder when 677 is divided by w?
14
Suppose 0 = -5*l - 2*c + 283, 22*l + 3*c = 26*l - 254. Calculate the remainder when 186 is divided by l.
9
Let n = -34549 - -34639. Calculate the remainder when 314 is divided by n.
44
Let i = 201 - 199. Let l(z) = 5*z**2 - 28*z + 54. What is the remainder when 88 is divided by l(i)?
16
Suppose 29 + 1903 = 24*b - b. What is the remainder when 912 is divided by b?
72
Suppose h - 63 = 8*h. Suppose 0 = -2*l - 3*l + 20. Calculate the remainder when ((-6)/5)/(h/135) is divided by l.
2
Let q(a) = a**2 - 8*a - 18. Let o be q(-2). Suppose 3*h = 3*k - 45, -3*k + 17 = -o*h + 6*h. Calculate the remainder when 21 is divided by k.
10
Let v = 2311 - 1787. Calculate the remainder when v is divided by 7.
6
Let f(r) = -r**2 - 8*r + 2. Let z be (4 - (-111 + -4)) + 16/4. Suppose 4*h - 4*d - z = 125, -3*d + 124 = 2*h. What is the remainder when h is divided by f(-7)?
8
Let h = -553 + 543. Let r(n) = -n**2 - 27*n - 16. Calculate the remainder when r(h) is divided by 53.
48
Suppose -4*m + 3*p = 28, 13*m - 12*m + 26 = -4*p. Let z(j) = -j**2 + 2*j + 127. What is the remainder when 145 is divided by z(m)?
5
Calculate the remainder when (4/(-2) + 0)*22/((-352)/8664) is divided by 536.
11
Suppose 4*z + 244 = 8*z. Let k = 55 - z. Let d(a) = -a**3 - a**2 + 9*a + 3. Calculate the remainder when d(k) is divided by 22.
19
Let t = -132 + 143. Suppose 0 = -0*l - t*l + 165. Let x(y) = 5*y - 7. What is the remainder when x(7) is divided by l?
13
Suppose 12*z - 15 = 13*z. Let t = 51 - z. Suppose -3*r - t = -5*r. What is the remainder when r is divided by 14?
5
Suppose -435 = -5*i + 5*b + 220, -3*i + 389 = b. What is the remainder when i is divided by 109?
21
Let j = -59 - -62. Suppose 5 = j*o - 2*o. Suppose -4*i = 3*w - o*i - 44, 2*w - 6 = -4*i. Calculate the remainder when 49 is divided by w.
10
Let l(i) = -664*i + 9326. Calculate the remainder when 43917 is divided by l(14).
27
Suppose -2345 + 23219 = 71*j. Calculate the remainder when j is divided by 23.
18
Let k(n) = 70*n**2 + 35*n + 45. Calculate the remainder when k(-4) is divided by 103.
98
Suppose -122*p + 32*p = 76*p - 3652. Calculate the remainder when 72 is divided by p.
6
Let p be 4 + 0 + -8 - (-1 + 1083). What is the remainder when p/(-4)*(-14)/(-21) is divided by (-43)/(-9) + -5 - (-119)/9?
12
Suppose -m - 3 = -3*j, j - 3*j + 4*m = -12. Suppose 2*a - 8*a + 96 = j. Let y = -226 + 282. Calculate the remainder when y is divided by a.
8
Let x be (6/24)/(14/712)*7. Suppose 87*s = 5*q + x*s - 2381, 0 = -4*q - s + 1903. Calculate the remainder when q is divided by 30.
25
Let b be 9/(-1*5/45). Let m = b + 72. What is the remainder when (-12)/m*(58 - 4) is divided by 26?
20
What is the remainder when 12247 is divided by (-4620)/(-99) - (-30)/9?
47
Let a(o) = -17*o - 108. Let c be a(-8). What is the remainder when 87 is divided by (-1135)/(-35) - c/(-49)?
21
Let k(i) = 4*i**2 - 8*i - 15. Let g be k(-2). Suppose -120 = -g*m + 135. What is the remainder when (-6)/2*(-40)/3 is divided by m?
10
Calculate the remainder when 88/28 + -3 + -3 + (-11030)/(-14) is divided by 133.
120
Let w be (-25)/(-175) + (-181)/(-7). Let a(b) = -28 + b**2 + 37 + w - 7*b. What is the remainder when a(7) is divided by 9?
8
Let l(t) = t**3 + 151*t**2 + 283*t - 1754. What is the remainder when l(-149) is divided by 75?
31
Let q = 7099 - 6122. What is the remainder when q is divided by 21?
11
Suppose 58 + 1642 = 25*t. Calculate the remainder when 511 is divided by t.
35
Suppose -4*q + 36 = 44. What is the remainder when 66 is divided by (-6 - (-1165)/40) + q/16?
20
Let b = -41462 - -41482. Suppose -m + 368 = 3*m + 4*f, -5 = f. What is the remainder when m is divided by b?
17
Let q(y) = -28*y - 3845. Let j(k) be the first derivative of -3*k**4/4 + k**3/3 + k**2/2 - 2*k - 3. Calculate the remainder when q(-139) is divided by j(-2).
23
Let g(o) = 43*o + 751. What is the remainder when g(59) is divided by 47?
45
Suppose 13*x - 445 = 1427. Suppose -5*v + z = -x, 2*v + z = v + 30. Calculate the remainder when 166 is divided by v.
21
Suppose 24*j = 15*j + 648. Let m = 148 - j. Calculate the remainder when m is divided by 14.
6
Suppose -u - 7*q = 1211 - 1545, -716 = -2*u - 2*q. Let k(c) = 5*c - 2. Calculate the remainder when u is divided by k(3).
11
Let b be 9/3 + -3*1. Suppose -l + 167 = 2*p - 105, -l - 4*p + 268 = b. Calculate the remainder when 33 is divided by l/15 - 10/25.
15
Suppose -4*f - h = -107, 5*f - 2*h + 0*h = 124. Let l = 184 + f. Calculate the remainder when l is divided by 65.
15
Suppose 54*r = 254 + 718. What is the remainder when 71 is divided by r?
17
Let m be -33 + 0*(-3)/6. Let p = m + 65. Calculate the remainder when p is divided by 9.
5
Suppose 5*l = -5*z + 180, -z - 60 = -3*l + 32. Calculate the remainder when 7998 is divided by l.
30
Let l(h) = -h**2 + 32*h + 27. Let y be l(16). Suppose 6*i - y - 461 = 0. What is the remainder when i is divided by 43?
38
Let v = 4484 + -4413. Calculate the remainder when 371 is divided by v.
16
Suppose -l + 5*m = -11, 12*l - 4*m = 5*l + 201. What is the remaind