2
Suppose -i - 2*a + 2 = 0, i + i - 4*a = 36. Suppose -1225 = i*y - 17*y. Calculate the remainder when y is divided by 11.
10
Suppose -7*v + 2 = -12. Suppose -101 = -5*c - v*w, 19*c - 5*w = 15*c + 61. Suppose 2*n = 66 + 8. What is the remainder when n is divided by c?
18
Let c = -2 + 65. Let k = 41 + c. Let j(s) = s**3 + 9*s**2 - 14*s - 5. Calculate the remainder when k is divided by j(-10).
34
Let u be 2/(-4) + (-9)/6 + 12. Suppose 5*l - 309 = -3*d, -d = l - u - 95. What is the remainder when d is divided by 46?
16
Suppose 0 = -12*j + 16*j - 3580. Let l = j + -275. Calculate the remainder when l/30 - 2/3 is divided by 12.
8
Let w(k) = 2*k**2 - 23 - 3*k**3 + 5 - 3*k**2 + 14 - 5*k. Calculate the remainder when 112 is divided by w(-2).
8
Let z(n) = 4*n**2 - 177*n + 2040. Suppose -101 - 103 = -3*a. What is the remainder when z(29) is divided by a?
67
Let n(b) = 13*b**2 - 2164*b + 378. Calculate the remainder when n(167) is divided by 219.
14
Calculate the remainder when 539565/1495 - 4/(-46) is divided by 116.
13
Suppose -2949 = 110*q - 12418 - 11101. Suppose 0 = -3*i - 17 + 149. Calculate the remainder when q is divided by i.
11
Let r = -657 + 666. Let g(i) = -3*i + 2*i + 5*i + 26 + 0*i. What is the remainder when g(r) is divided by 23?
16
Let c = -28 + 37. Suppose 2*z + w - c = 0, -z + w + 3 + 6 = 0. Calculate the remainder when 3 + (7/(-4)*-4 - 0) is divided by z.
4
Suppose m + 15 = 45. Let x(d) = 35*d + 139. Let r be x(-3). Suppose -5*w + 38 = s, s = r - 36. Calculate the remainder when m is divided by w.
6
Suppose 4*w = 5*z + 22197, 2*w + 3*z - 11100 = 5*z. Suppose -17*o - w = -26*o. Calculate the remainder when o is divided by 20.
17
Let f(q) = -q + 27. Let h(r) = -60*r + 7. Calculate the remainder when h(-2) is divided by f(-1).
15
Let s = 176 + -118. Suppose -10*p + s = -172. Calculate the remainder when 90 is divided by p.
21
Let x = 618 + -92. Let j(u) = 11*u**2 + 78*u + 73. What is the remainder when x is divided by j(-7)?
64
Let z(b) = -261*b**3 - b. Let m be z(-1). Suppose -3*i + 267 = 3*d, 0 = -3*i - 4*d + 6*d + m. Calculate the remainder when i is divided by 9.
7
Suppose -29*h = -16*h + 104. What is the remainder when (-827)/(-8) - (-3)/h is divided by 19?
8
Let n(c) = 5*c - 11. Let d be n(3). Suppose 323 = 4*x + d*s + 35, 5*x - 358 = -4*s. Suppose x - 42 = 2*p. What is the remainder when p is divided by 13?
1
Suppose -k + 2363 = 16*k. Let b = -46 + k. Suppose -95*d + 98 = -b*d. What is the remainder when d is divided by 17?
15
Suppose -5*a = -14*i + 11*i - 593, 8*i = -5*a + 527. Calculate the remainder when 4816 is divided by a.
101
Calculate the remainder when 381 is divided by 2 - ((-19723)/99 + 4/18 + 0).
180
Let n(z) = -6*z + 125. Let r be n(0). Let l = r + -124. Calculate the remainder when (-4 - l) + 68/1 is divided by 22.
19
Suppose -2*u + p + 13 - 3 = 0, 10 = u + 2*p. Suppose 0 = 2*x - u - 4. Let s = x + 16. Calculate the remainder when s is divided by 11.
10
Let c = 463 + -241. Let d = 95177 - 95174. Calculate the remainder when c is divided by d.
0
Let k(l) = 0*l - 2 - 13*l - 6*l. Let q be k(-6). Suppose -63 = -5*u + q. What is the remainder when u is divided by 12?
11
Let u be ((-10)/4)/(3*(-7)/126). Suppose u = -0*f - 3*f. Calculate the remainder when 21 is divided by 15/4*1/f*-20.
6
Suppose 2*d = -a - 503, 5*d + 4*a - 494 = -1750. Let o = d - -271. What is the remainder when 57 is divided by o?
0
Let d(i) = 24*i**2 - 134*i - 559. What is the remainder when d(-4) is divided by 84?
25
Let s = -9 - 28. Let m = s - -43. Suppose -m*d + 16 = -5*d. Calculate the remainder when 27 is divided by d.
11
Calculate the remainder when 45 - 1 - ((10 - -5) + -17) is divided by 3/(-2)*(20 - 26).
1
Let g = 5548 - 5544. What is the remainder when 48 is divided by g?
0
Let p(d) = d**3 + 50*d**2 + 262*d + 5. Calculate the remainder when 3066 is divided by p(-44).
90
Calculate the remainder when -8 + (40/100 - (-3696)/10) is divided by 132.
98
Let f(c) = -c**2 + 5*c + 26. Let p be f(-3). Calculate the remainder when 87 is divided by 0 + 5 - (-24 - p).
25
Suppose 0 = 5*f - 5*p - 105, f + 5*p + 41 = 2*f. Calculate the remainder when 505 is divided by f.
9
Suppose 0 = -4*d, 20 = 7*m - 2*m - 3*d. What is the remainder when (-1)/m - (6025/20)/(-5) is divided by 17?
9
Suppose -167*n = 10*n - 13983. Calculate the remainder when 2163 is divided by n.
30
Let c(f) = -83*f**3 - f**2 + f - 1. Let m be c(1). Let z be (-9)/6 - (-2 + m/8). Suppose 3*b = z*b - 1616. Calculate the remainder when b is divided by 51.
49
Suppose 20*v = 1022 + 636 - 338. Let n(m) be the third derivative of m**5/60 + 5*m**4/24 - m**3/3 - 3*m**2. Calculate the remainder when v is divided by n(4).
32
Let a = 1784 - 1745. Calculate the remainder when 71 is divided by a.
32
Suppose 2*t - 3*s - 1308 = 0, -s = -13*t + 12*t + 656. Suppose 5*a + t = 9*a. Let c = a - 77. Calculate the remainder when c is divided by 23.
19
Suppose -2 = n + 2*t, -5*n + 4*t - 22 - 30 = 0. Suppose -3*q + 3*r = -21, -2*q = -5*q - 4*r + 7. What is the remainder when (51/(-12))/(n/32) is divided by q?
2
Suppose 4*b = -5*h + 120, -h + b + 3*b + 48 = 0. Suppose -16*d = 674 - 738. What is the remainder when h is divided by d?
0
Suppose -5*q + 3*m + 6 = -3*q, 0 = 4*q - m - 12. Suppose q*g - 95 = -5. Calculate the remainder when g is divided by (-7)/((-175)/20)*20.
14
Let c(m) = -m**3 + 50*m**2 - 26*m - 541. What is the remainder when c(30) is divided by 83?
79
Suppose -4*v - 718 = -750. Let x(i) = 1. Let r(m) = 3*m - 33. Let n(b) = -r(b) + 3*x(b). Calculate the remainder when 191 is divided by n(v).
11
Let m(i) = i**3 + 7*i**2 - 11. Let b be m(-6). Let t = b + -22. Suppose -3*p + 38 = -3*j + 5, -49 = -4*p + t*j. What is the remainder when 36 is divided by p?
4
Suppose -64*p + 359542 = -301480 - 85154. Calculate the remainder when p is divided by 13.
11
What is the remainder when 1354 is divided by (-7 - -3 - -2)/(82/(-4182))?
28
Let q(t) = -t + 4. Let x be q(6). Let z(d) = 4*d**2 + 3*d + 2. Let m = -72496 + 72553. Calculate the remainder when m is divided by z(x).
9
Let m = -587 - -590. Suppose y + 4*w = -0*y - 14, 4*y = -m*w + 9. Calculate the remainder when 50 is divided by y.
2
Let a = -2199 - -2205. What is the remainder when 583 is divided by a?
1
Suppose 0 = 3*z - 36 - 3. Let w = 585 + -582. Calculate the remainder when z is divided by w.
1
Let c be 2 + (-2)/((-10)/35). What is the remainder when 24 is divided by c*(-10)/(-18)*3?
9
Let y(w) = 1038*w**2 - 87*w + 87. What is the remainder when y(1) is divided by 36?
30
Let n(b) = b**2 - 151*b + 1194. What is the remainder when 64 is divided by n(8)?
14
Suppose 3*q + 3*q = 18. Suppose q*g = 108 - 21. What is the remainder when 30 is divided by g?
1
Suppose -5*k + n + 6889 = 0, -3*k - 9*n + 2413 = -1682. What is the remainder when k is divided by 283?
245
Let r = -378 + 674. Suppose -4*l = -5*h - 1355 - r, -3*l + 1239 = -3*h. What is the remainder when l/5 - 60/75 is divided by 21?
19
Suppose 0*o = -o + 3. Suppose -502 + 121 = -o*u. Let f = 11123 - 11091. What is the remainder when u is divided by f?
31
Let b(f) = f + 8. Let r be b(-6). Let k(h) = h**3 - 15 + h + 18 + h + 4*h**r. What is the remainder when 44 is divided by k(-3)?
2
Let g(f) be the first derivative of -f**4/4 + 5*f**3/3 + 7*f**2 - 19*f + 289. Calculate the remainder when g(5) is divided by 10.
1
Suppose -3*d - 2*p = -4629, -910 = -2*d + 8*p + 2232. What is the remainder when d is divided by 510?
17
Let c(l) be the first derivative of -l**2 + 25 + l + 34/3*l**3. Calculate the remainder when 97 is divided by c(1).
31
Calculate the remainder when 596 is divided by 4/(-26) + (-25666)/(-533).
20
Suppose -5*h + 9 = -21. Let m = -57 - -219. Let y = m - 158. Calculate the remainder when h is divided by y.
2
Let r = 31 - 17. Suppose 2*h - 3 + 1 = 0. Let k(v) = 25*v**2 - v + 1. What is the remainder when k(h) is divided by r?
11
Suppose -3*d + 8*o + 298 = 6*o, 2*d + 5*o - 167 = 0. What is the remainder when 1055 is divided by d?
95
Suppose -8*p = 4*i - 7*p - 207, 3*p = -5*i + 257. What is the remainder when 243 is divided by i?
35
Let x(a) = -a**2 + a + 8. Let h be x(3). Suppose -h*o - w + 0*w + 25 = 0, 0 = 2*o + 2*w - 26. Calculate the remainder when 21 is divided by o.
9
Let r = 352 - 270. Suppose -