 3. Let i be g(-5). Let v = 329 - i. Suppose -58 = -5*t + v. Calculate the remainder when t is divided by 8.
7
Let t be (0 - 1)*(26 - -7). Let r = t - -65. Calculate the remainder when r is divided by 9.
5
Suppose -161*g = -168*g + 98. What is the remainder when g is divided by 4?
2
Calculate the remainder when 115 is divided by 55/(-50)*-26 + (-2)/(-5).
28
Suppose 0 = -3*c - 3*l - 22 - 5, -4*c = -5*l - 9. Let b = 11 + c. Let z(t) = t**2 + 17*t + 29. What is the remainder when z(-16) is divided by b?
6
What is the remainder when 355 is divided by (-2668)/(-24) - 8*3/144?
22
Suppose -2*n + 56 - 6 = -4*l, 2*n - 64 = -3*l. Suppose -n = 3*z - 4*z. What is the remainder when z is divided by 8?
5
Suppose 5*m = -4*y + 1839, 16*m + 5*y = 12*m + 1473. What is the remainder when m is divided by 123?
121
Let t(s) = -s + 1. Let f(z) be the third derivative of -z**6/120 + z**4/12 + z**3/3 + 17*z**2. Calculate the remainder when f(-3) is divided by t(-5).
5
Suppose -5*x + 35 = -5*c, 2*c + 2 + 20 = 3*x. Let g = -2 - -1. Let v = g + x. What is the remainder when 24 is divided by v?
3
Calculate the remainder when 261 is divided by (158 - -4)/6 + 0.
18
Let a = -222 + 325. Suppose c = 11 + a. What is the remainder when c is divided by 13?
10
Suppose 0 = 5*r + 4*v - 470, -42*r = -47*r + 5*v + 470. What is the remainder when r is divided by 83?
11
Let d(w) = -112*w - 97. Let j(o) = -o**2 + 2*o + 2. Let p be j(2). Suppose -p*h + 16 = -38. Calculate the remainder when h is divided by d(-1).
12
Let m(p) = 23*p**2 - 3*p + 590. What is the remainder when m(0) is divided by 119?
114
Suppose -11*r = -r - 4440. Calculate the remainder when (r/(-10))/((-10)/25) is divided by 8.
7
Suppose 0 = -5*m + 391 - 96. Calculate the remainder when m is divided by 11.
4
Let a be 2 - (9/3 + 10113/3). What is the remainder when (-1)/11 + a/(-66) is divided by 13?
12
Let h(v) = 25*v**2 + 5*v - 9. Calculate the remainder when 64 is divided by h(1).
1
Let v = -33 - -56. Suppose 5*s - v = 12. Let z(d) = -d**3 - 5*d**2 - 2*d + 1. What is the remainder when z(-5) is divided by s?
4
Let p = -1153 - -1388. What is the remainder when p is divided by 34?
31
Let b = 186 - 174. What is the remainder when 26 is divided by b?
2
Suppose -4*g + 37 = -31. Suppose -z = -2*f + z + 10, -2*f = 4*z - 16. Calculate the remainder when g is divided by f.
5
What is the remainder when ((4482/12)/(-3))/(3/(-2)) is divided by 28?
27
Let u = 98 + -94. Suppose 0 = -5*i + 8*i + z - 179, -2*i + u*z + 110 = 0. Calculate the remainder when i is divided by 3*(-4)/(-6) + 13.
14
Suppose -24 + 36 = 4*i. Suppose -3*u + 25 = 3*k + 1, -i*k + 4 = -2*u. Calculate the remainder when 5 is divided by k.
1
Suppose 576 = -2*z - 4*j, -j + 1161 = -4*z - 0*z. Let y = -148 - z. What is the remainder when y is divided by 24?
22
Let n = 8 + -4. Suppose -4*h + 2*i + 287 = -79, -h - n*i = -96. Suppose 3*t + 5 = h. Calculate the remainder when t is divided by 15.
14
Suppose 0 = -2*b - 2*m + 40, 81*m = -3*b + 76*m + 50. What is the remainder when 394/(-3*4/(-6)) is divided by b?
22
Suppose -3*a + 21 - 9 = 0. Suppose 17 = 2*l - 5*x, -a*x = 2*l - 5*l + 43. Calculate the remainder when l is divided by 6.
3
Suppose -3*m = 3*c - 193 + 25, -4*m + 2*c + 224 = 0. Suppose -3*a + 23 + 13 = 0. What is the remainder when m is divided by a?
8
What is the remainder when (4 - (-736)/8) + -1 is divided by 8?
7
Suppose -63*u = 470 - 2045. Calculate the remainder when u is divided by 16.
9
Let t be (3 + -1)/((-3)/(-21)). Let q = t - 4. What is the remainder when 32 is divided by q?
2
Let p be -4 - (-8 - -2) - 6/(-2). Suppose -p*u = -3*a + 89, 3*a + 3*u - 37 - 44 = 0. Calculate the remainder when 138 is divided by a.
26
Calculate the remainder when 102 is divided by ((-36)/24)/((-2)/24).
12
Suppose -5*q + g + 10 = -2, q + 3*g - 12 = 0. Let o = 9 + -5. Suppose o*c - 3*t + 6*t = 171, -216 = -5*c - q*t. Calculate the remainder when c is divided by 16.
13
Let r be 610/17 - 16/(-136). Let v(j) = -j**2 - j + 5. Let w be v(0). Suppose m = g - 31, -17 - r = -3*g - w*m. What is the remainder when g is divided by 14?
12
Let l = 0 + 208. What is the remainder when l is divided by 42?
40
Let v = 113 + 15. Let n = v - 86. Calculate the remainder when n is divided by (-8)/16 - (-47)/2.
19
Suppose -8*f + 865 = -3*f - 5*g, 0 = -3*f - 5*g + 527. Let r = 103 - f. Let p = r - -124. Calculate the remainder when p is divided by 14.
11
Let m(h) = -7*h - 2. Let g be m(1). Suppose 0 = l - 2, -5*l = 3*j - 2*l - 21. What is the remainder when ((-44)/(-6))/((-6)/g) is divided by j?
1
Let m(i) = -14*i + 1. Let g be m(1). Let o(n) = -4*n - 14. Let v be o(g). Let s = v - -3. What is the remainder when s is divided by 21?
20
Suppose p = -0*p + 84. Suppose -p = 3*v + 3. Let q = 42 + v. What is the remainder when 51 is divided by q?
12
Suppose 0*r - 4*r - 18 = l, 0 = -l - 2*r - 8. Suppose l*o + 12 = 4*o. Suppose -282 = -6*a - o. What is the remainder when a is divided by 12?
10
Let g(t) = -t**3 - 7*t**2 - 10*t - 14. Let x be g(-6). What is the remainder when 12 is divided by x + 1 + -2 + (0 - 0)?
3
Suppose -5*s + 225 = -3*n, 0 = -22*s + 23*s + 5*n - 45. What is the remainder when 129 is divided by s?
39
Suppose 4*j + 3*j = 28. Let g(n) = 2*n**2 - n - 1. Calculate the remainder when 53 is divided by g(j).
26
Let m(y) = -2*y**2 + 3*y - 4 + y**3 + 5 + 0*y**3 - y. Let q be m(2). Let j = 14 - q. What is the remainder when 33 is divided by j?
6
Suppose -q - 60 = -6*q. Suppose v = -39*w + 38*w + 6, -3*w + 15 = 2*v. What is the remainder when q is divided by v?
0
Let v = -18 + 28. Suppose -5*q + v*q - 25 = 0. Suppose 20 = -q*g, 0 = -2*o - 0*g + 4*g + 58. What is the remainder when 81 is divided by o?
18
Let l = -83 - -46. Let r = 61 + l. What is the remainder when 47 is divided by r?
23
Suppose 2*d - 4*p - 366 = 1140, d = p + 753. What is the remainder when d is divided by 54?
51
Let p(b) = 14*b - 67. Let n(s) = 7*s - 33. Let h(i) = 9*n(i) - 4*p(i). What is the remainder when 56 is divided by h(7)?
16
Let c(j) = 4*j**2 + 16*j - 13. Calculate the remainder when c(6) is divided by 57.
56
Let s = 1109 + -752. What is the remainder when s is divided by 15?
12
Let n = 128 - -220. Suppose 0*t = -4*t + n. Calculate the remainder when t is divided by 22.
21
Suppose -11*b + 143 + 55 = 0. What is the remainder when 45 is divided by b?
9
Suppose 7*h - 86 - 47 = 0. Suppose h + 16 = 7*k. What is the remainder when 12 is divided by k?
2
Let l(v) = 9*v + 0 + 2 - 8. Calculate the remainder when l(5) is divided by 14.
11
Let r = 109 + -85. Suppose -5*z + r = 7*z. Calculate the remainder when 17 is divided by z.
1
Let d(k) = -k**3 - 2*k**2 + 3*k + 7. What is the remainder when 571 is divided by d(-3)?
4
Let o = 59 + 31. What is the remainder when o is divided by 31?
28
Suppose -29*o + 960 = 3*o. What is the remainder when (-4)/14 + (-1255)/(-7) is divided by o?
29
Let u be (0 + 0)*(-11)/(-22). Let z = 9 + u. Suppose 4*a - 103 = z. Calculate the remainder when 53 is divided by a.
25
Let j(s) = 187*s**3 + s**2 - 15*s + 13. What is the remainder when j(1) is divided by 88?
10
Let t(i) = -5 + 6*i - 10*i**2 + 1 + 4*i + i**3. Let d be t(9). What is the remainder when (-1)/2*(-5 - d) is divided by 3?
2
Let m(q) = 2*q - 4. Let w be m(7). Let a = -8 + w. Suppose -a*y + 208 = 2*y. Calculate the remainder when y is divided by 18.
16
Calculate the remainder when 24/(-132) - 1874/(-22) is divided by 11.
8
Suppose 108*y - 3510 = 1242. Calculate the remainder when 203 is divided by y.
27
Suppose m + 47*r - 46*r - 10 = 0, m - 3*r - 14 = 0. Suppose 0 = 2*b + 3*b - 380. Calculate the remainder when b is divided by m.
10
Let p be 3*(-186)/27*48. Suppose 5*d - 75 = -t, 0 = 3*d + 2*t - 51 - 1. What is the remainder when 71 is divided by p/(-56) - (-4)/d?
17
Let z = 89 - 58. Suppose 0 = -3*r - r + 84. Let w = z - r. Calculate the remainder when w is divided by 3.
1
Suppose -24*u = -21*u - 12. Suppose -k = u*k, 5*b = 3*k + 60. Calculate the remainder when 57 is divided by b.
9
Let h(g) = 11*g - 12. Let b(n) = 11*n - 11. Let r(a) = 7*b(a) - 6*h(a). What is the remainder when 196 is divided by r(5)?
46
Let n be (-218)/(-4) - (-8)/(-16). Suppose -8*k + n = -2*k. Let t(j) = -j**2 + 8*j - 7. Calculate the remainder when k is divided by t(6).
4