 1. Suppose 0 = k*s + 5 - 5. What is the remainder when 61 is divided by s - 1*12/(-8)*6?
7
Suppose 20*y - 11*y - 19998 = -13*y. Calculate the remainder when y is divided by 47.
16
Suppose -3*x + 1437 = s, 3*x + 2*s = -s + 1431. Calculate the remainder when x is divided by 23.
20
Let r = 69 - 46. Let b = -35 - -32. What is the remainder when r is divided by (9/5)/(b/(-10))?
5
Suppose y + 0 - 4 = m, -3*y = 2*m + 8. Suppose 2*j - 5*k = 13, y*j + 5*k = j - 9. Calculate the remainder when (-133)/35 + j + 94/5 is divided by 3.
1
Calculate the remainder when 3/((2/(-20))/((-33158)/885)) is divided by 283.
275
Suppose 0 = 523*q - 526*q - p + 374, 4*p = -3*q + 371. Calculate the remainder when 241 is divided by q.
116
Suppose -7*u + 680 = 155. What is the remainder when u is divided by (-1)/3*-1 + (-112)/(-6)?
18
Suppose 6*x = -0*x + 144. Let g = -68 - -76. Suppose -70 = -g*j + 7*j. What is the remainder when j is divided by x?
22
Suppose 52*j + 180 = 62*j. Let s = 791 + -469. Calculate the remainder when s is divided by j.
16
Suppose -4*j = -2*j - 24. Let c = -4 + j. Let b = 14064 + -14034. What is the remainder when b is divided by c?
6
Let i = 8837 - 8742. Calculate the remainder when 475 is divided by i.
0
What is the remainder when 374 is divided by (8 + 770/(-56))*-32?
6
Suppose -y - 3*f - f = -17, -5*y = 3*f. What is the remainder when 116 is divided by (-2)/4 - (y + 25/(-2))?
11
Let c = -158 - -193. Let q = 122 + -76. Let s = q - c. Calculate the remainder when 62 is divided by s.
7
Suppose 10*x - 5*x + 3*i = 55, 2*x = -5*i + 3. Suppose -13*s - 184 = -x*s. Suppose 4*a - 252 = s. What is the remainder when a is divided by 37?
35
Suppose -522*f + 63 = -514*f - 113. Let t(r) = -r + 12. Calculate the remainder when f is divided by t(0).
10
Let u(b) = -8*b - 191. Let d(a) = 2*a**2 + 7*a + 9. Calculate the remainder when d(-7) is divided by u(-28).
25
Suppose -q + 2*h + 1662 = 0, -25 = -197*h + 202*h. What is the remainder when q is divided by 27?
5
Suppose 9212 = -26*p - 2*p. Let y = 389 + p. What is the remainder when -474*(2/(-4))/1 is divided by y?
57
Let o(y) = y**3 - 31*y**2 - 16*y + 332. What is the remainder when o(32) is divided by 9?
7
Suppose 132 = 3*h + h. Let n(f) = f**2 - 3*f - 280. Let q = -289 - -271. Calculate the remainder when n(q) is divided by h.
32
Let c(o) = -o**3 - 11*o**2 - 4*o - 16. Let k = 8 - 19. Let f be c(k). Suppose -w + f = y - 0*y, 3*y = 0. What is the remainder when 54 is divided by w?
26
Suppose 6*f = -3*f - 90. Let b be 135/6*32/f. What is the remainder when 272/3 - b/54 is divided by 24?
20
Let t be 49*(20/(-4) + 4). Suppose 23*j - 675 = -4*j. What is the remainder when -2*(0 + 0 + t) is divided by j?
23
Suppose -38*t + 70 = -36*t. Let c(v) = -v**3 + 5*v**2 + 5. Calculate the remainder when 1*t*(-25)/(-125) is divided by c(5).
2
Suppose 0 = -g + 2*h - 7*h + 24420, 8*g + h = 195672. Calculate the remainder when g is divided by 81.
79
Let b be ((-32)/(-24))/((-1)/(-12)). Suppose -b*w - 32 = -15*w. What is the remainder when (45 - -1)*(-16)/w is divided by 6?
5
Let q = -6 + 14. Let s = -169 - -154. Let l = q - s. Calculate the remainder when l is divided by 12.
11
Let n(d) = -d**2 - 15*d + 57. Suppose 0*q + q - 48 = 5*z, z + 3*q = -16. Calculate the remainder when ((-48)/(-15))/((-2)/z) is divided by n(3).
1
What is the remainder when 108 is divided by 7/(-4) - (81/(-12) + -17)?
20
Suppose 5*k = 2*y + 109, -59 = -14*k + 11*k - 2*y. What is the remainder when k is divided by (-4)/(-10) - 819/(-65)?
8
Let h(v) = 40*v + 1657. Calculate the remainder when h(-27) is divided by 51.
16
Let g(v) = v**2 - 24*v - 41. Let k be g(29). Let n = -1 + -80. Let u = k + n. What is the remainder when 90 is divided by u?
21
Suppose 0*g + 3*g = 33. Suppose -81*m + 77*m - 196 = 0. Calculate the remainder when -1 - 56/m - (-90)/7 is divided by g.
2
Suppose -17*n + 1820 = 749. Calculate the remainder when 5542 is divided by n.
61
Suppose 403 = 2*x - 3*q, -2*x - 20*q = -16*q - 382. Calculate the remainder when 216 is divided by x.
19
Suppose 4*d = -2*h - 372, 0 = -d + 3*h - h - 83. Let q = d + 184. Calculate the remainder when q is divided by 48.
45
Suppose 0 = -4*k + 93*f - 90*f + 28408, 0 = f. Calculate the remainder when k is divided by 96.
94
What is the remainder when ((-10)/(-6) + -1)*(-19617)/(-260)*10 is divided by 13?
9
Suppose 822 = 149*h + 61*h - 4218. Calculate the remainder when h is divided by -1 + -11*(-1 - 0).
4
Suppose -3*a = -q + 592, -21*q + 25*q - 5*a - 2389 = 0. What is the remainder when q is divided by 91?
55
Suppose -3*r + 5151 = 5*k, 2*r = 22*k - 18*k + 3456. What is the remainder when r is divided by 14?
0
Let d(i) = 2*i**2 - 83*i + 758. Let r be d(14). Let l(g) = 0*g + 2*g - g + 27. What is the remainder when 101 is divided by l(r)?
11
Let z be (-280)/(-12) - 4 - 1/3. Suppose -4*s + 56 = p, -2*s - z - 73 = -2*p. What is the remainder when p is divided by 6?
0
Let i(c) = -3*c**2 + 14*c - 2. Let n be i(4). Suppose 2*j + n*j = -80. What is the remainder when 132 is divided by 51*(4/(-15))/(4/j)?
30
Let v(j) = -j**3 - 8*j**2 + 10*j + 14. Let u be v(-9). Suppose 4*o = -3*y + 847 - 153, 5*o = u*y + 885. Calculate the remainder when o is divided by 55.
10
Suppose 4*u = -y - 16, -2*y - 10 = -3*u - 33. Suppose 2*d - 4*d + 173 = i, 689 = y*i + 5*d. What is the remainder when i is divided by 35?
31
Let c be 0*(10/(-20))/(1/2). Suppose -3*r + 115 + 128 = c. What is the remainder when r is divided by 4?
1
Suppose 3*w - 34 + 5 = 2*m, 5*w - 3*m = 50. Let l = 17 - w. Suppose -l*j - 12 = -52. Calculate the remainder when 18 is divided by j.
8
Let j(w) = 2*w**3 + 4*w**2 - 2*w + 15. Let k be j(-4). Let b be (k - 1)/((-34)/51). Let y = 73 - b. What is the remainder when 58 is divided by y?
8
What is the remainder when 5/(50/(-1505))*10*(-4)/14 is divided by 108?
106
Let q(b) = b**2 + 29*b - 1. Let z be q(-11). Let m = -139 - z. Calculate the remainder when m is divided by 19.
3
Let y be ((-5)/(-15))/(-2 + 869/435). Let h = 151 + y. Let g(n) = -n**3 + 5*n**2 - 2*n + 2. Calculate the remainder when g(4) is divided by h.
4
Suppose 58*l + 37*l = 12920. Calculate the remainder when l is divided by 132.
4
Let u(w) = 6*w**2 - 27*w + 75. Calculate the remainder when 383 is divided by u(5).
23
Let q(c) be the first derivative of -2*c**3/3 - 29*c**2/2 + 17*c - 114. Calculate the remainder when q(-14) is divided by 7.
3
Let b = 299 + -296. Suppose -5*g + 27 = 2*u, -b*g - 3*u + 6 + 3 = 0. What is the remainder when 24 is divided by g?
3
Let u(h) = h**3 + 7*h**2 - 4*h. What is the remainder when u(-4) is divided by -34*4/(32/(-4))?
13
Let m = 1286 - 1147. Calculate the remainder when m is divided by 54.
31
Suppose -5*b + 23922 = 4*y, 10*b + 5*y = 15*b - 23895. Calculate the remainder when b is divided by 23.
21
Let j(c) = -c - 3. Suppose 1000*w + k = 1001*w - 10, 0 = -4*k - 12. Calculate the remainder when w is divided by j(-6).
1
Let h = 18 - 11. Suppose -778 - 83 = -h*n. Suppose -n = -2*q - q. Calculate the remainder when q is divided by 12.
5
Suppose 7*v + 10 = 31. Suppose 338 = 2*a + 2*t, a - 8*t - 151 = -v*t. What is the remainder when a is divided by 29?
21
Suppose -3*c - 2428 = -17439 + 1586. What is the remainder when c is divided by 446?
15
Suppose -l + 683 = 3*f - 388, -2*l + 4*f = -2192. What is the remainder when l is divided by 34?
32
Let x = -1297 - -1355. Calculate the remainder when 140 is divided by x.
24
Let h be (-373)/5 - 9/(-15). Let t = 88 + h. Suppose 0 = 6*g - 254 + t. What is the remainder when g is divided by 15?
10
Suppose 12*z + 5309 = 1073. Let b = 384 + z. What is the remainder when 47 is divided by b?
16
Let t = 1109 + -1073. What is the remainder when 106 is divided by t?
34
Let c(s) = 4*s**2 - 112*s + 526. Calculate the remainder when c(30) is divided by 182.
38
Let m be -2 - 9/3 - 692. Let c = 1143 + m. What is the remainder when c is divided by 7?
5
Let h = 22754 + -22497. What is the remainder when h is divided by 8?
1
Let g(k) = -48*k + 2511. Calculate the remainder when g(49) is divided by 141.
18
Suppose a = -0*a + 15. Let x = 1452 - 666. Let g = x - 713. Calculate the remainder when g is divided by a.
13
Suppose -4*o + 40 = 2*m - m, 5*m = 5*o + 100. Let s(i) = i**3 - 10*i**2 + 50*i - 36. What is the re