 the remainder when 66 is divided by t?
3
Let u = 32 - 12. Suppose u = 9*b - 5*b. Suppose -3*f = f + 2*v - 50, -b*v = f - 8. What is the remainder when 25 is divided by f?
12
Suppose 2*f = -2*f. Let q(b) = b**2 - 21*b + 59. Let v be q(18). Suppose 3*u - v*u + 96 = f. What is the remainder when u is divided by 25?
23
Calculate the remainder when 3/15 + (-4298)/(-10) is divided by 31.
27
Let n(p) = -p**3 + 4*p**2 - 3*p + 14. Let o be n(4). Suppose -d + o = -43. What is the remainder when d is divided by 23?
22
Let z(t) = 11*t + 12*t**2 - t**3 + 23 - 4*t**2 + 2*t - 21. What is the remainder when z(9) is divided by 14?
10
Suppose -8*x + 264 = 3*x. Suppose -4*u + x = -44. Calculate the remainder when u is divided by 8.
1
Let l = 32 - 26. What is the remainder when 426/l - (-2)/(-2) is divided by 18?
16
What is the remainder when (38/(-6) - -2)/((-1)/75) is divided by 55?
50
Let a be -1 + 1 - (0 + -4). Suppose -11*l + 44 = -11. Suppose -l*w + 4*n = -99, 0 = a*w + 3*n + n - 72. Calculate the remainder when 74 is divided by w.
17
Let y be 3*(9/18)/(2/4). Suppose 5*f - y*o - 349 = 0, 2*f + 4*o = -f + 192. Calculate the remainder when f is divided by 18.
14
Let z = 172 + -64. Calculate the remainder when z is divided by 10.
8
Suppose 0 = 8*t - 7*t, 0 = -5*g - 5*t + 15. Calculate the remainder when 456 is divided by g.
0
Let x be 150/(-6) - 10/(-5). Let d = 18 - -13. Let k = d + x. What is the remainder when 46 is divided by k?
6
Suppose c - 5*s - 4 = 2, 3*c + 5*s = -2. Suppose -4*v + 82 = 2*g, g - 24 + c = 4*v. What is the remainder when 139 is divided by g?
34
Suppose 5 = -6*d - 7. What is the remainder when 20 is divided by 5 - (10/30 - d/3)?
0
Suppose 2*r - 1 + 3 = 0. Suppose 0 = a - 3*i - 7 - 15, 0 = -3*a + 5*i + 46. Calculate the remainder when 6*(-5)/r - 3 is divided by a.
6
Suppose 3*h - a - a + 6 = 0, 0 = -3*h - 4*a + 12. Suppose 3*m + 119 - 413 = h. Calculate the remainder when m is divided by 51.
47
Let q(x) = 12*x + 834. Calculate the remainder when q(-50) is divided by 3.
0
Let c = -11 + 30. Suppose -4*i + 7*i = 225. What is the remainder when i is divided by c?
18
Let s(n) = 3*n**3 + 3*n**2 - 6*n + 9. What is the remainder when 3128/24 - 2/(-3) is divided by s(2)?
32
Suppose k - 22 = -7. Let y = 131 + k. Suppose -4*v + y = 22. Calculate the remainder when 123 is divided by v.
30
Let n(l) = l**3 + 2*l - 2*l**2 + 1 + 0*l + 0. Let o(b) = -b**2 - 7*b - 3. Let g be o(-6). What is the remainder when 46 is divided by n(g)?
14
Suppose 19 = 3*s - 11. Let d be (-2)/5 - (-244)/s. Suppose 0 = b + q - d, -q + 49 = 6*b - 4*b. What is the remainder when b is divided by 13?
12
Let h(y) = -4*y - 31. Let m be h(-16). Let u = m + 21. What is the remainder when u is divided by 19?
16
Let f(g) be the third derivative of g**5/60 - g**4/8 - g**3/3 + 7*g**2 + 4. Let i(q) = q + 2. Let n be i(-6). Calculate the remainder when f(n) is divided by 4.
2
Let q(g) = g**3 + 7*g**2 - 19*g - 125. Calculate the remainder when 116 is divided by q(-7).
4
Suppose -352 = -8*c + 4904. What is the remainder when c is divided by 216?
9
Let r = -1 + 9. Let g = 232 - 229. Let h = r - g. What is the remainder when 14 is divided by h?
4
Let t(o) = -14*o - 5. Let d be 1*-2 - (-13)/(-13). What is the remainder when 147 is divided by t(d)?
36
Suppose 2*v - 96 = 198. Calculate the remainder when v is divided by 37.
36
Suppose 13*d = -31847 - 3136. What is the remainder when (-2)/(-3)*(d/(-6))/13 is divided by 17?
6
Suppose 3*l + 31 - 130 = 0. Calculate the remainder when 162 is divided by l.
30
What is the remainder when 103 is divided by ((-4)/(-14))/((-4)/(-364))?
25
Let i = -61 - -119. Let q = -12 - -15. Suppose 4*a - 6 = -q*d + 63, -5*d = -15. Calculate the remainder when i is divided by a.
13
Suppose 1199 = -5*u + 1539. Let c(i) = -7*i + 1. Let b be c(-6). Let q = u - b. Calculate the remainder when 47 is divided by q.
22
Let g = -177 + 192. What is the remainder when 49 is divided by g?
4
Let m = -45 + 48. Suppose -m*l + 6*p + 97 = 5*p, 4*p = -l + 15. What is the remainder when 87 is divided by l?
25
Suppose -5*i = 49 + 1. Calculate the remainder when (-790)/i - (5 + -2) is divided by 13.
11
Let b(u) = u**2 - 6*u + 4. Let f be b(6). Suppose -4*p + f + 4 = 0. Suppose -m = 3*y + 1, m + p*m - y = 47. Calculate the remainder when m is divided by 8.
6
Let d(c) = -7*c - 1. Let s be -3 + 1 - (3 + -4 + -4). Calculate the remainder when d(-2) is divided by 10/s - (44/(-12) + 3).
1
Calculate the remainder when ((-9)/216*-6)/((-2)/(-976)) is divided by 39.
5
Let s = -1187 - -1384. What is the remainder when s is divided by 9?
8
Let h(f) = -f**2 - 9*f - 6. What is the remainder when h(-7) is divided by 7?
1
Suppose h - 170 = -8*l + 9*l, 510 = 3*h + l. Calculate the remainder when h is divided by 43.
41
Suppose 5*w - 10 = 5*a, a = -86*w + 83*w + 30. Suppose 0 = -3*g - 5*o - 15, o + 2*o = -g - 9. Let n = 22 + g. Calculate the remainder when n is divided by w.
6
Let m = -4 + 15. Let f(x) = 2*x**2 - 3*x - 2. Let y be f(9). Suppose 5*r + 4*t - 77 = 90, -4*r + y = 3*t. What is the remainder when r is divided by m?
9
Suppose 0 = -3*o + 2*n - 2 + 12, 5*o = -3*n + 4. Let m be -3 + -4*1/o. Let c(p) = -10*p + 5. What is the remainder when c(m) is divided by 14?
13
Let c(a) = 3*a**2 - 30*a - 112. What is the remainder when 403 is divided by c(-3)?
3
Let f(x) = 77*x**2 + 10*x - 2. Calculate the remainder when f(-1) is divided by 25.
15
Let w(a) = 3*a**2 + a - 3. Suppose 5*c - 2 = 4*c. Let y be 175/(-55) - c/(-11). What is the remainder when 40 is divided by w(y)?
19
Let m(o) = -o**2 - 6*o - 5. Let b be m(-7). Calculate the remainder when (b/3*-47)/2 is divided by 14.
10
What is the remainder when -13*2*70/(-20) is divided by 34?
23
Suppose -f - 26 = 25*l - 26*l, -3*f = 0. Calculate the remainder when l is divided by 14.
12
Suppose 3*u - b - 42 = 44, -5*b + 63 = 2*u. What is the remainder when 198 is divided by u?
24
Let w = -34 - -51. Suppose 3*s = -6, -4*a + 7*a = -3*s - 9. What is the remainder when w - -3 - (a + -3) is divided by 5?
4
Suppose -12*q = 3*q - 1965. What is the remainder when q is divided by 26?
1
Suppose -3*c + 73 = 2*w, -5*c + 2*c + 74 = w. Calculate the remainder when 74 is divided by c.
24
Suppose 0 = 3*o + g - 107, 0 = -4*o + g + 121 + 17. What is the remainder when 66 is divided by o?
31
Suppose 2480 = 31*r - 589. What is the remainder when r is divided by 31?
6
Let n be 170/4*12/(-15). What is the remainder when (-2)/(0 - (-4)/n) is divided by 9?
8
Suppose 0 = -t - 4*w + 8*w + 155, t + 2*w - 167 = 0. Let s = t + -105. Let o(x) = -4*x**3 + x + 1. What is the remainder when s is divided by o(-2)?
27
Let h = 6 - 1. Let o be (288/45)/(2/h). Suppose -5*j = 3*v - o, v - 3*v + 32 = -2*j. Calculate the remainder when 34 is divided by v.
10
Let p(b) = -5*b + 110. Let s be p(14). Suppose -15 - 9 = -w. Let v = s - w. Calculate the remainder when 45 is divided by v.
13
Suppose 0 = -6*p + 541 - 475. Let q(b) be the first derivative of -b**4 - b**3/3 - b**2 - 1. Calculate the remainder when q(-2) is divided by p.
10
Suppose a = -2*a - 15. Calculate the remainder when 52 is divided by 16 - 8/a*25/10.
12
Let m = 77 + -52. Suppose 615 = 4*a + a. What is the remainder when a is divided by m?
23
Let j = -22 + 51. Suppose -2*p + 15 = -j. Calculate the remainder when 63 is divided by p.
19
Let j = -532 + 540. Calculate the remainder when 76 is divided by j.
4
Suppose -z - 5*m + 108 = 0, -3*m + 6*m = -4*z + 347. Calculate the remainder when z is divided by (2 + -2 + -12)*-1.
11
Suppose l = -2*l + 21. Let o = -1006 + 1019. What is the remainder when o is divided by l?
6
Let v = 32 + -26. Let o(c) = 2*c**2 + 4*c + 13. What is the remainder when o(v) is divided by 37?
35
Let v be (2 - (-175)/5) + 3. Suppose 4*z - v = 4*d, -3*z = d - 5*d - 26. What is the remainder when 39 is divided by z?
11
Suppose 2*f + 4*p = 6 - 54, -f + 4*p = 12. Let j = -5 - f. What is the remainder when 57 is divided by j?
12
Let q(g) = -4 - 10 - 6*g + g + 7. What is the remainder when q(-6) is divided by 12?
11
Suppose -4*g + 8 = 5*z - 84, -5*z = -5*g + 70. Calculate the remainder when (4 - (8 + -1)) + 56 is divided by g.
17
Suppose 111*k - 103*k = -2664. Let h be (2 - 4)/(-4)*-6. What is the remainder when (1/3)/(h/k) is divided by