mainder when 134 is divided by 31 - (u + 6) - 2.
26
Suppose -648 = -5*z - 4*n, -95*z + 136 = -94*z + 4*n. Suppose 0 = -6*q + z + 64. Calculate the remainder when 89 is divided by q.
25
Suppose -34*b + 1615 = 61*b. Calculate the remainder when 1236 is divided by b.
12
Let p(q) = 11*q - 41. Let c(t) = 3*t - 10. Let l(w) = 9*c(w) - 2*p(w). Calculate the remainder when (9 - (-136 + 0)) + 8 is divided by l(12).
49
Suppose 2*x - 1 = 1. Let d(i) = i**2 + i - 92. What is the remainder when d(11) is divided by (-13 - x)/(4/(-6))?
19
Let b = 626 + -164. Suppose 0 = -3*s - 2*h + 467, -3*h = -7*s + 4*s + b. Calculate the remainder when s is divided by 79.
76
What is the remainder when 216 is divided by (-6)/(-27) - 8864/(-288)?
30
Let v be 630/27 - (-2)/(-6). Let w = v - 4. Suppose 132 = 4*z - 4*d, 52*d - 57*d + 10 = 0. Calculate the remainder when z is divided by w.
16
Let j(t) = -51 + 19*t**3 - 8*t**2 + 43 - 16*t - 17*t**3. Calculate the remainder when j(8) is divided by 27.
25
Suppose 4*k = -3*g + 405, 2*k - 133 = -14*g + 13*g. What is the remainder when g is divided by 64?
11
Let t = -17476 + 17925. Calculate the remainder when 927 is divided by t.
29
Let b be (-14)/(-21) + 106/(-6). Let a = b + 43. Suppose m - 62 = -14. Calculate the remainder when m is divided by a.
22
Let q be (-7)/126*-3 - 359/(-6). Suppose -105*m = -104*m - q. Let w = -4 + 11. Calculate the remainder when m is divided by w.
4
Let y(s) = -3*s**3 + 60*s**2 + 7*s - 20. What is the remainder when 703 is divided by y(20)?
103
Suppose -5*w + 3*k + 62 = -11, k - 69 = -5*w. Suppose 12*g = w*g. Suppose -72*u + 70*u + 20 = g. What is the remainder when 65 is divided by u?
5
Let x = 669 - 1244. Let w = 615 + x. Calculate the remainder when 180 is divided by w.
20
Let q(n) = 6*n + 22. Let c be (4 + (-207)/6)*-2. Let h = c - 64. Calculate the remainder when 15 is divided by q(h).
3
Suppose -26 = -2*g - 4*p, 13*g - 4*p + 35 = 16*g. What is the remainder when 60 is divided by g?
6
Suppose 3*t = -4*z + 41, 2*t - 4*z = -t + 25. What is the remainder when (39/(-897) - 111/92) + (-122)/(-8) is divided by t?
3
Suppose 0 = q + 4*f - 19, q - 2*q - 17 = -5*f. Suppose 4*j + 4*v - 168 = 0, -4 = -q*v + 2*v. What is the remainder when j is divided by 4?
2
Suppose 0 = 2*i - 3*i + 3. Suppose 2*c = i*r - 5*r + 28, 4*c - 60 = -5*r. What is the remainder when ((-408)/(-85))/((-3)/(-10)) is divided by c?
6
Let z = 153 - 105. Let d(m) be the third derivative of -m**6/24 - 13*m**5/60 - m**4/8 - m**3/3 - 30*m**2. Calculate the remainder when z is divided by d(-3).
23
Let l(w) = -w**2 + 5*w - 6. Let a be l(3). Suppose 0*j - 2*j + 24 = a. Let i = j - -11. Calculate the remainder when i is divided by 4.
3
Suppose -d + 90*t = 92*t + 4, 32 = -4*t. Calculate the remainder when 7639 is divided by d.
7
Let j = -27 + 50. Suppose -v = -4 - j. What is the remainder when v is divided by 20/(-6)*(-11 + (-3 - -11))?
7
Suppose -3*k - 5*c = -54, 45*c - 48*c = 5*k - 90. What is the remainder when 140 is divided by k?
14
Suppose 0 = 3*h - 3*a + 4*a - 28, -3*h = -5*a - 58. Let j(k) = 2347*k + 9538. What is the remainder when j(-4) is divided by h?
7
Let x(y) = -2*y + 3. Let t = -9 - -15. Let v = 21 - t. What is the remainder when x(-13) is divided by v?
14
Let d(a) = a**2 + 28*a + 161. Let g be d(-20). Let i(v) = 438*v**3 - 2*v**2 + 3*v - 2. What is the remainder when i(g) is divided by 49?
45
Let g = -28 + -7. Let z = -12 - g. Suppose -1 = -3*i + z. Calculate the remainder when 29 is divided by i.
5
Let r be -7 - -4 - (10 - 4). Let d(f) = f**3 + 8*f**2 - 9*f + 16. What is the remainder when 61 is divided by d(r)?
13
Suppose 35*r = 4*m + 36*r - 1407, 0 = -2*m + 3*r + 707. Calculate the remainder when m is divided by 75.
52
Let s = -446 + 518. Let y = -45 + s. What is the remainder when 76 is divided by y?
22
Let z(j) = 25*j + 486. Calculate the remainder when 328 is divided by z(-15).
106
Suppose -59784*t + 59765*t + 266 = 0. Calculate the remainder when 9533 is divided by t.
13
Suppose 2*i = -3*i + 3*r + 35, -5*r - 21 = i. Suppose 5*d = 8*d - 3*t + 6, -i*d = -2*t. Calculate the remainder when -1 + 2 - 1/(-1) is divided by d.
0
Calculate the remainder when 1565 is divided by 399 + (291/(-30) - (-12)/(-40)).
9
Let p be (-4 - 24)/(-2) - 2. Suppose -818 = -4*q + 5*y, 7*y = -q + p*y + 197. Calculate the remainder when q is divided by 22.
9
Let g be (-735 - 0)/(-5)*(-1)/3. Let b = -29 - g. What is the remainder when 156 is divided by b?
16
Let o = -5884 + 10061. Calculate the remainder when o is divided by 10.
7
Let n = -510 + 521. What is the remainder when 50 is divided by n?
6
Suppose -7*z + 4*z - 6*x = -1161, -x = -5*z + 1880. What is the remainder when z is divided by 12?
5
Let f be -6*(-1)/(4 - 2). Suppose 0 = -3*h - 2*k + 33, h = 3*h + f*k - 17. Calculate the remainder when 52 is divided by h.
0
Suppose l + 3*l - 16 = 0. Suppose g - 73 = -l. Let j = g - 62. Calculate the remainder when 102 is divided by j.
4
Let s be (-1000)/6*(-9)/(4 + -7). Let r = 521 + s. Suppose 0*o + 2*o = 102. What is the remainder when o is divided by r?
9
Suppose 2*h - 15 = d, 5*h + d + d - 15 = 0. Let u = 7 - h. Suppose -43 = -u*q - 33. What is the remainder when q is divided by 1?
0
Let l = -20571 + 20752. Calculate the remainder when l is divided by 108.
73
Suppose 3*s - 346 - 83 = 0. Let k = s + 52. What is the remainder when k is divided by 14?
13
Suppose 22*r - 18*r - 4*q - 112 = 0, -4*q - 37 = -r. Let s be (-6)/(-21) + 26/7. Suppose 5*h - 31 = s. Calculate the remainder when r is divided by h.
4
Let w(s) = -7*s + 1479. What is the remainder when w(44) is divided by 47?
43
Suppose 617 = 11*g + 232. Calculate the remainder when 120 is divided by g.
15
Suppose 7*w - 4*w = 4*y - 97, -4*y + 4*w + 96 = 0. What is the remainder when 799 is divided by y?
24
Suppose 6*n + 341 + 55 = 0. Let m = n - -80. Let p = 75 - 20. What is the remainder when p is divided by m?
13
What is the remainder when 617 is divided by (-59)/(-531) + 16116/27?
20
Let t be ((-3534)/(-126) - 1/3)*7. Let o = t + -169. What is the remainder when 149 is divided by o?
24
Let l = -195 + 199. Suppose 0 = 5*p - 5, l*w + 4*p - 23 = 61. What is the remainder when 37 is divided by w?
17
Let f be (8/2 - 2)*(71 + -41). Let a be (-416)/3 - 4/(-6). Calculate the remainder when (a/(-5))/(24/f) is divided by 35.
34
What is the remainder when 2820 is divided by (1 + -11)*(7917/(-65) + (-114)/6)?
4
Let n(i) = 2*i**3 + 77*i**2 + 110*i + 15. Calculate the remainder when 133 is divided by n(-37).
29
Let j = 5270 - 5243. Calculate the remainder when 2*80 - (5 - 3) is divided by j.
23
Let n(f) = f**3 + 7*f**2 - 2*f - 5. Let u be 4 + 5*(-6 + 7). Suppose -33 = 6*l - u*l. What is the remainder when n(-6) is divided by l?
10
Suppose t - 314 + 139 = 2*f, -4*t = -3*f - 725. What is the remainder when 17574 is divided by t?
184
Let t = 463 + -461. Suppose -25 = -3*y - 4*c, 4*y - c = -2*c + 29. Calculate the remainder when y is divided by (3 - t)*(-2)/(-7)*7.
1
Let s = -34 + 63. Let h(f) = f**3 + 3*f**2 - 11*f. Let q be h(-5). Suppose 68 = q*k + 13. Calculate the remainder when s is divided by k.
7
Suppose r + 6 = 12. Suppose -r - 57 = x. Let c = x - -83. What is the remainder when 117 is divided by c?
17
Let d(y) = 614*y - 1219. What is the remainder when 23 is divided by d(2)?
5
Let a(o) = o**3 - 97*o**2 + 472*o - 5. Calculate the remainder when a(5) is divided by 39.
16
Suppose 15520 = 407*h - 387*h. Calculate the remainder when h is divided by 212.
140
Let l be ((-8)/(-12))/((-22)/(-396)). Let f(y) = 77*y - 753. What is the remainder when f(l) is divided by ((-2)/2)/(2/(-88))?
39
Let z = 20637 + -20622. Calculate the remainder when 28587 is divided by z.
12
Let k be -15 - -16 - (-226)/1. Let i = 292 - k. Calculate the remainder when i is divided by 22.
21
Let r(a) = -5*a**3 - 4*a**2 + 4. Suppose -4*z + 44 = -6*z. Let s = -24 - z. What is the remainder when r(s) is divided by 10?
8
Suppose 0 = -w + 2*q + 2254, -119*q + 120*q = -5. What is the remainder when w is divided by 107?
104
Suppose 6*q - 4*q = 84. Suppose -15*u = 12*u - 7911. What is the remainder when u is divided by q?
41
Let p(h) = -16*h + 30. Let b be p(1). Suppose 0 = b*i - 45*i + 2170. Calculate the remainder when i is divided by 18.
16
Suppose