
Let t = -175 - -471. Calculate the remainder when t is divided by 61.
52
Suppose 0*x + 3*x = 33. Suppose 17 = s - x. Calculate the remainder when 136 is divided by s.
24
Let v = 607 - 588. What is the remainder when 162 is divided by v?
10
Let z = 16 - 10. Let l be ((1 + -15)/(-2))/(8/32). Suppose -18 - l = -2*d. What is the remainder when d is divided by z?
5
Calculate the remainder when (-20)/110 - 1544/(-22) is divided by (-7)/((-70)/108)*30/18.
16
Suppose 0 = -20*g + 7*g. Calculate the remainder when ((-44)/5 - g)/((-36)/180) is divided by 12.
8
Let o(g) = -16*g - 26. Let l be o(-8). Suppose -l = 18*j - 24*j. Suppose -31 = -5*s + 19. What is the remainder when j is divided by s?
7
What is the remainder when (32/2)/((-6)/(-9)) is divided by (1 + 25/1)/(-72 + 74)?
11
Let j(p) = p**3 + 3*p**2 + p. Let z be j(-2). Let y be 120/((-1)/z - -2). Suppose y = 2*w + 2*w. Calculate the remainder when 38 is divided by w.
18
Let k = 72 - 44. Suppose n = 2*l - k, -4 = -l + 3*n + 10. Let m = -12 + 51. What is the remainder when m is divided by l?
11
Suppose -5*k = -4*v + 344, 4*v + 30 = 2*k + 158. Let c = -43 - k. Let l = -21 - -76. What is the remainder when l is divided by c?
26
Suppose o = -2*k + 48, -2*o - 21 = -5*k + 81. What is the remainder when 408/(-918) - (-589)/9 is divided by k?
21
What is the remainder when 193 is divided by (40/(-30))/((-10)/735)?
95
Calculate the remainder when 108 is divided by (0 + -6)/(87/(-232)).
12
Let j(m) = 4*m**3 + 10*m - 5*m**2 - 9*m + 1 - 5*m**3. Let t be j(-5). Calculate the remainder when 58 is divided by (-30)/(-1)*t/(-8).
13
Let i(n) = n**2 - 9*n + 32. Let f be i(12). Let u = 97 - f. Calculate the remainder when 56 is divided by u.
27
Suppose 3*w - 17 - 49 = 0. Suppose 196 = -8*m + 4*m. Let l = -37 - m. Calculate the remainder when w is divided by l.
10
Suppose -3*i + 2*k = -3*k - 4, -4*i + k = -11. Suppose -2*z - i*z = -60. Suppose u - 3 = z. What is the remainder when u is divided by 8?
7
Let k = -362 - -392. Suppose -3*h + 32 = -46. Let i = k - h. Calculate the remainder when 9 is divided by i.
1
Let k(m) = -6*m + 7. Let f be k(2). Let g(n) = -n**3 - 4*n**2 + 9*n + 23. What is the remainder when g(f) is divided by 3?
0
Let q be (14/(-10) - -1) + (-2)/(-5). Suppose -9 + q = -3*v. What is the remainder when 14 is divided by v?
2
Let q(l) = 5*l**2 - 21*l + 1. Let v be q(6). Suppose v = -4*d + 5*d. What is the remainder when d is divided by 19?
17
Let h(n) = -n**2 - n + 49. Calculate the remainder when 16 is divided by h(-7).
2
Let a(l) = 65*l - 194. What is the remainder when a(4) is divided by 17?
15
Let x(n) = 5*n**2 - 2*n - 5. Let z = 6 - 1. Let m(u) = -4*u**2 + 3*u + 4. Let i(d) = z*x(d) + 6*m(d). What is the remainder when 15 is divided by i(-9)?
7
Let o(r) = -170*r + 14. Let t be o(-8). Suppose -8*u + 2*u + t = 0. Calculate the remainder when u is divided by 46.
45
Let k = -4 - 24. Let x = -8 - k. Calculate the remainder when 117 is divided by x.
17
Suppose 9606 = 4*l + i - 858, 3*i = 2*l - 5246. What is the remainder when l is divided by 20?
17
Let g = -3 + -12. Calculate the remainder when 23 is divided by (-72)/g*15/6.
11
Let m(p) = -p**3 - 26*p**2 - 24*p + 38. Calculate the remainder when 76 is divided by m(-25).
11
Suppose 516*f - 517*f = -35. Calculate the remainder when -1*(-2)/(-2)*-137 is divided by f.
32
What is the remainder when ((-2)/(-1))/((-46)/(-3427)) is divided by 22?
17
Suppose 5*b = -25, 12 + 16 = w + 3*b. Calculate the remainder when w is divided by 15.
13
Let j(s) = -2*s**3 - 3*s**2 - 4*s - 3. Let k be 6/4*638/33. Calculate the remainder when -20 + 16 + k/1 is divided by j(-2).
7
Suppose 9*z = 16*z - 126. What is the remainder when 30 is divided by z?
12
Let f(v) = -v**3 + 6*v**2 - v + 9. What is the remainder when 172 is divided by f(5)?
27
Let d be ((-189)/15)/((-1)/5). Let f = d - 20. What is the remainder when f is divided by 11?
10
Let d be 4/((-8)/6) + 3. Suppose 0 = -d*c - 4*c. Suppose 4*w - 250 + 62 = c. Calculate the remainder when w is divided by 16.
15
Suppose -5 = y + 4*x, 2*y - 5*y - x = -40. Calculate the remainder when 42 is divided by y.
12
Suppose -3*w = 6*w - 504. Calculate the remainder when w is divided by 1.
0
Let a(f) = f**3 + 6*f**2 + 5*f - 4. Let g be a(-5). Calculate the remainder when 22 is divided by ((-4)/(-10))/(g/(-140)).
8
Let b = 47 - 27. Calculate the remainder when 2/(18/417) + (-12)/(-18) is divided by (12/5)/(3/b).
15
Let l(h) = -h**2 + 11*h - 8. Suppose -6*b = -4*b + 5*w - 59, -2*b + 29 = -5*w. What is the remainder when b is divided by l(9)?
2
Let q = -1373 + 1628. What is the remainder when q is divided by 123?
9
Suppose 0 = -5*o, p = -p - 3*o + 4. Let l = p + 11. Calculate the remainder when 36 is divided by l.
10
Let l be ((-3)/(-2))/(6/16). Suppose 2*j = -4*f + 20, -5*j = -l*j + f - 13. What is the remainder when 31 is divided by j?
15
Let r(m) = 13*m**2 + 62*m - 3. Suppose -6*i + i + 10 = 0. Suppose -i*f + 45 = -1. Calculate the remainder when f is divided by r(-5).
11
Let g = -230 - -550. What is the remainder when g is divided by 19?
16
Let x = -2 + 7. Suppose 2*p = 3 - x. Let w = 4 - p. Calculate the remainder when 14 is divided by w.
4
Let u = -1175 + 1202. Calculate the remainder when 485 is divided by u.
26
Let v be -1 - (-5 + 2) - -1. Suppose q = v*q - 72. Calculate the remainder when 21 is divided by q/3*(-6)/(-9).
5
Suppose -30 + 8 = -j. Suppose 2*a - 140 = 22. What is the remainder when a is divided by j?
15
Let a = 160 + -83. Calculate the remainder when a is divided by -54*(-9)/18*1.
23
Let v = -136 + 199. Calculate the remainder when v is divided by 13.
11
Suppose 0 = -16*t + 5*t + 924. Calculate the remainder when t is divided by 43.
41
Suppose 6*a = -6*a + 300. Calculate the remainder when 248 is divided by a.
23
Suppose 26*d - 1305 = -3*d. What is the remainder when d is divided by 30?
15
Suppose -30*m - 229 + 219 = -190. Let k = -11 - -23. What is the remainder when k is divided by m?
0
Let b(p) = -3*p + 34. Let j be b(11). Let f(d) = 26*d**2. Calculate the remainder when f(j) is divided by 7.
5
Let d = 213 - 149. What is the remainder when d is divided by 14?
8
Suppose 5204 + 2300 = 14*x. What is the remainder when x is divided by 12?
8
Suppose 4*n = -4*l + 4, 3*n = -4*l - 2 + 1. Let s(v) = -v**2 + 6*v + 3. Let o be s(n). Suppose -1 + o = q. What is the remainder when 20 is divided by q?
6
Suppose -k - 2*k + 81 = -5*m, 5*m = 0. Calculate the remainder when 206 is divided by k.
17
Suppose 3*m + 1177 = 5*l, -14 = 3*m - 2. Calculate the remainder when l is divided by 22.
13
Let m = 97 - 87. Calculate the remainder when 25 is divided by m.
5
Let m(n) = 0*n + 6 - n - 4*n. Let k be m(-3). Let y = 31 - k. What is the remainder when 39 is divided by y?
9
Let y(n) = -7*n + 620. Calculate the remainder when y(23) is divided by 31.
25
Suppose t + 3*t - 152 = 0. Let z = t - 18. Suppose 0 = -3*r + r + z. Calculate the remainder when 18 is divided by r.
8
Suppose 0 = -21*o + 12*o + 198. What is the remainder when 77 is divided by o?
11
Let s be 1 - (7 + -4 + 2). Calculate the remainder when 99 is divided by (0 + 30 - s)*1.
31
Let f(m) = m**2 - m + 2. Let y be f(0). Let n(x) = x + 5*x**2 + 0*x**3 - 3*x**2 - 4 - y*x**3 + x**2. What is the remainder when 43 is divided by n(-2)?
21
Suppose -51*r = -56*r - 20. What is the remainder when 15 is divided by (2/(-1) - r) + 4 + -2?
3
Suppose 25 = 3*i - 296. Let v = -513 - -540. What is the remainder when i is divided by v?
26
Let k = 189 - 161. What is the remainder when k is divided by 4?
0
What is the remainder when (-1 + 2)/((-6)/18) + 188 is divided by 15?
5
Let s(h) = 3*h**2 + h - 7. Suppose -5*j + 7 - 22 = 0. Let g be s(j). Suppose b - g = -k, -3*k + 55 = 2*b + 3*b. What is the remainder when 74 is divided by k?
14
Let x(v) = v**2 - 9*v - 21. Suppose 2*d - 7*d + 4*i + 86 = 0, -34 = -2*d + 2*i. What is the remainder when x(-4) is divided by d?
13
Suppose -6*f + 18 = -0*f. Suppose f*p + u - 23 = -0*p, 5*u - 38 = -4*p. Calculate the remainder when 20 is divided by p.
6
Suppose 878 - 202 = 2*n. What is the remainder when n is divided by 38?
34
Suppose 0 = 4*j + 3*m, -j + 3*j - 3*m = -18. Let f = j - -20. Suppose 4*u = -2*x + 20, -5*u - 2*x = -f - 9. Calculate the remainder when u is divide