der when 419 is divided by o.
59
Suppose -16 = -15*a - 661. Let u = a + 64. What is the remainder when u is divided by 44/6 + 4/6?
5
Let k = 5749 + -4143. What is the remainder when k is divided by 400?
6
Suppose -4*a + 604 + 104 = 0. Let t = 291 + -245. Suppose -t = -8*k + 98. What is the remainder when a is divided by k?
15
Suppose -4*r - 64 = 4*b, 3*b - 7*b - 3*r = 60. What is the remainder when 23 is divided by 13 + (1/(-3))/(b/36)?
9
Let a = 20951 - 20941. Calculate the remainder when 65 is divided by a.
5
Let o(x) = 12*x**2 - 2. Suppose -8 = 2*u + 2*u. What is the remainder when o(u) is divided by (-7 - 795/(-45))*6/4?
14
Let k(q) = -11*q + 3. Let g = -68 + 70. Suppose 5*t + g*x - 5 = 0, t - 3*t - 5*x + 23 = 0. Calculate the remainder when 26 is divided by k(t).
12
Suppose c = 19*t - 15*t - 17666, -22087 = -5*t - c. Calculate the remainder when t is divided by 47.
46
Let h = 317 + 50. Let p = h + -321. Let m = 308 - 129. What is the remainder when m is divided by p?
41
Suppose 0 = 3*q + 5*d - 1224, 3*q - 1508 + 305 = 2*d. Calculate the remainder when q is divided by 164.
75
Let v(z) = 250*z**2 - 25*z - 25. What is the remainder when v(-1) is divided by 127?
123
Suppose r = -2*f + 89, -251 = -5*r + 2*r + 2*f. Suppose -33 + 28 = w - 5*n, n - r = -4*w. What is the remainder when 39 is divided by w?
19
Suppose -25 = 31*j - 1606. Calculate the remainder when (36/6 - 5)*559 is divided by j.
49
Let q(a) = 34*a**2 - 12*a. Let f be q(5). Let r = f + -419. Calculate the remainder when r is divided by 15.
11
Suppose 5*p - 264 = 431. Suppose 705209*k - 705227*k = -1314. What is the remainder when p is divided by k?
66
Let s(p) = 10*p**2 - 86*p + 89. Calculate the remainder when 3755 is divided by s(1).
11
Let o(u) = -u**3 - 3*u**2 - 5*u - 4. Let b(h) = 22*h + 43. Calculate the remainder when b(2) is divided by o(-3).
10
Suppose -180*c + 27032 = -149*c. Calculate the remainder when c is divided by 181.
148
Calculate the remainder when 678 is divided by (-18 - 0) + (-6233)/(-271).
3
Let k = -348 - -928. Suppose 0 = 5*c + 225 - k. Let r = c - 54. Calculate the remainder when r is divided by 9.
8
Suppose -g + 4*m - 47 = -2*g, 4*g = -3*m + 149. What is the remainder when 3/(-4 + 1 + 410/136) is divided by g?
29
Let c = -1283 + 1441. Calculate the remainder when 546 is divided by c.
72
Let x(g) = -3*g**3 + 2*g**2 - 3*g - 1. Let l be x(-2). Let z = l + -33. Calculate the remainder when 72/15*(-1)/(z/(-30)) is divided by 11.
3
Let m(b) = 5*b**2 - 75*b - 301. What is the remainder when 10821 is divided by m(-4)?
77
Suppose -311*w = -295*w - 3568. Suppose 3*a - 5*t = -0*a - 5, -3*a = 3*t - 3. Suppose a = 10*j - w - 287. Calculate the remainder when 201 is divided by j.
48
Suppose -5*o + 11*y + 14 = 12*y, 3*o + 5*y - 26 = 0. What is the remainder when 2 - (o/5 + 1191/(-15)) is divided by 4?
1
Let s = 1891 + -303. What is the remainder when s is divided by 37?
34
Suppose -7 = 2*v + 9. Let f(r) = -r**3 - 9*r**2 - 11*r - 6. Let w be f(v). Let d = 169 - w. Calculate the remainder when d is divided by 38.
37
Let a = -153 - -3. Let q = a + 162. What is the remainder when 47 is divided by q?
11
What is the remainder when ((-535)/(-4))/(((-325)/40)/(-13)) is divided by 157?
57
Let y(f) = f - 100. Let x be y(-24). Let v = -34 - x. Calculate the remainder when v is divided by 31.
28
Suppose -2*y - 570 = -285*h + 284*h, -568 = -h + y. What is the remainder when h is divided by 16?
6
What is the remainder when ((-2980)/894)/(5/(-12297)) is divided by 82?
80
Let j = -104 + 189. Let l = -197 + 240. What is the remainder when j is divided by l?
42
Let d = 2722 - 2485. What is the remainder when d is divided by 49?
41
Let d = -31 - -33. Suppose -4*h + d*t = -26, -5 = t - 0*t. Calculate the remainder when ((-67)/(-2))/(2/h) is divided by 17.
16
Suppose -5*k - 3*j = -331, 435 = 2*k + 3*j + 290. Suppose 3*d + 4*s - 67 = -8, -4*d + 4*s = -32. What is the remainder when k is divided by d?
10
Suppose 0 = -56*v + 687 + 1487 + 794. What is the remainder when 3282 is divided by v?
49
Let p be (0 - -1)/(2/70). Let n be (14/21)/((-2)/(-54)). Let x = p - n. What is the remainder when 81 is divided by x?
13
Let m(v) = v**3 - 11*v**2 + 9*v + 13. Let l = -9 + 4. Let h(g) = -2*g + 1. Let p be h(l). What is the remainder when m(p) is divided by 38?
36
Let s be (18/(-6) - -1)/(-2). Calculate the remainder when 57 is divided by (25/(-100))/(s/(-60)).
12
Suppose -5*z = -5*n - 215, 0 = -55*z + 57*z + 4*n - 122. What is the remainder when 290 is divided by z?
45
Let r(v) = 2*v. Suppose -301 = 8*s - 10333. What is the remainder when (1/(-3))/((-11)/s) is divided by r(5)?
8
Suppose -4*f + 2*x = f - 35, 4*f = 3*x + 21. Let h be 4 + 3 + (-2)/(10/15). What is the remainder when 10 is divided by h*((-18)/(-16))/(f/12)?
4
Let w = -9801 + 9965. Calculate the remainder when 844 is divided by w.
24
What is the remainder when (15/(-16))/(2/(-180)) - 510/1360 is divided by 7?
0
Let p = 33 + -25. Suppose -1 - 7 = p*o. Let n(m) = -40*m + 3. What is the remainder when n(o) is divided by 11?
10
Suppose -94918*d = -94866*d - 25376. Suppose 0 = 2*y - 5*y + 210. Calculate the remainder when d is divided by y.
68
Let c = -7755 - -7984. Calculate the remainder when c is divided by 66.
31
Let l be ((-94)/3)/((-12)/(-18)). Let m = -18 - l. Suppose 0 = o + 5*i - 7, -3*o = o + 4*i - 44. What is the remainder when m is divided by o?
5
Let k = -50 - -52. Suppose -3*m + 515 = 4*a, 2*a = k*m + 3*m + 277. Let v = 6 + 27. What is the remainder when a is divided by v?
32
Let r = 230 + 68. Let b = r - 281. Calculate the remainder when 61 is divided by b.
10
Calculate the remainder when (245 + 15)/(12/(-28) + 740/1645) is divided by 64.
60
Let u be 256/(-112)*(-7)/2. Suppose 9 = 9*h - u*h + z, 0 = 3*h - 2*z - 52. Calculate the remainder when h is divided by 9.
5
Suppose 0 = -12*j + 82461 - 19113. Calculate the remainder when j is divided by 120.
119
Suppose -8 = -f - 0*f + 2*h, -76 = -5*f - 2*h. Let t = 1 + f. Suppose -332*l + 104*l = 35*l - 11046. What is the remainder when l is divided by t?
12
Let z(r) = -r**3 + 5*r**2 + 33*r + 2. Let w be z(9). Calculate the remainder when 30/w*290/9*-6 is divided by 79.
74
Let t(h) = 2*h**3 - 12*h**2 - 25*h - 2. What is the remainder when 115 is divided by t(8)?
7
Suppose -2*j + 4*a + 2400 = 0, 0 = -5*j + 5*a + 7529 - 1504. What is the remainder when j is divided by 9?
4
Let v(h) = -3*h**3 - 4*h**2 + 5*h + 9. Suppose 6*c - 143 = -11. Let x be (-4)/(-10) + c/(-5). Calculate the remainder when v(x) is divided by 30.
27
Let c be -4 + 1 - (36 - (-9 + 4)). Let g = c - -126. Calculate the remainder when g is divided by 12.
10
Let j(n) = -1919*n - 735. Calculate the remainder when j(-2) is divided by 27.
25
Suppose 0 = t - 0 + 7. What is the remainder when 302/10 - t*(-9)/315 is divided by 4?
2
Let i = -14549 - -16080. What is the remainder when 1540 is divided by i?
9
What is the remainder when (2232/(-168))/(6/(-42)) is divided by 40?
13
Let v(u) = u**2 - 14*u + 6. What is the remainder when v(18) is divided by (-3)/(0 + 18) + 362/12?
18
Suppose -11*i + 216 = -5*i. Let j = -939 + 943. Calculate the remainder when i is divided by j.
0
Let k be (-46)/6 + (-6)/(-9). Let b = k - -58. Suppose -7*a - 2*q = -3*a - 66, -5*q - b = -2*a. Calculate the remainder when 33 is divided by a.
15
Suppose 2*m = 5 + 103. Suppose -f + 32 = 3*p, 4*p + 9 - m = f. Suppose p*y - 59 = 18. What is the remainder when y is divided by 3?
1
Suppose -4*w - 20 = 0, -5*q + 4*w = -w - 110. What is the remainder when 234/15*305/183 is divided by q?
9
Let s = 38 + -22. Let o = s - 16. Suppose o = 4*z - 60 + 36. What is the remainder when 26 is divided by z?
2
Let w = -70 + 129. Let q be 11/1 - 3/(-6)*4. Suppose -5*m - 15 = 0, 3*u + q - 73 = 5*m. What is the remainder when w is divided by u?
14
Calculate the remainder when 1246/(-267)*1206/(-21) is divided by 45.
43
Let m(s) be the first derivative of -s**2/2 - 2*s + 4. Let x be m(2). What is the remainder when 42 is divided by x/12*-4*12?
10
Let w = -3264 + 3297. Let c be 2*(4*3 - 2). Let m = w - c. What is the remainder when 114 is divided by m?
10
What is the remainder when 316 is divided by ((-1043)/(-447))/((-2)/(-78))?
43
Let s = 104 - 107. Calculate the remainder when 16 i