9
Suppose 664 = -3*b - b - 2*a, a = 5*b + 837. Let f = b - -251. Calculate the remainder when f is divided by 15.
9
Suppose -18*i = -14*i + 3*x - 458, -4*i + x + 450 = 0. What is the remainder when 1353 is divided by i?
110
Suppose 552 = 8*s - 120. Calculate the remainder when (-4 - 558/(-12))*s/15 is divided by 40.
38
Suppose -147 = l - 175. Let o be 0 - (-2 + (3 - -24)). Let b = l + o. Calculate the remainder when 22 is divided by b.
1
Let j be ((-260)/3)/((-8)/(-36)). Let t = -277 - j. Calculate the remainder when t is divided by 29.
26
Suppose -3*a + 2*a - 203 + 1685 = 0. Calculate the remainder when a is divided by 33.
30
Suppose f = -p + 662 + 23, -p + 3*f = -677. What is the remainder when p is divided by 139?
127
Suppose -74*r + 348*r - 157002 = 0. Suppose y - 3*c - 10 = 25, 0 = -c - 1. Calculate the remainder when r is divided by y.
29
Let w(j) = -j**3 + 84*j**2 + 772*j - 109. What is the remainder when w(92) is divided by 133?
11
Let p = 199 + -100. Suppose p + 27 = 9*y. Calculate the remainder when 120 is divided by y.
8
Suppose 5*f - 58 = 3*u + 49, 3*u - 91 = -4*f. Suppose 2*n - f = -4*v, 5*n - v - 6 = 5. What is the remainder when n - 2 - (-106)/2 is divided by 14?
12
Let h(i) = 7*i + 326. Let k be h(-47). Calculate the remainder when (1819/(-17))/(k/6*2) is divided by ((-48)/(-10))/(16/120).
35
Let r be ((-16)/(-14))/(44/(-154)). Let k(n) = -3*n - 3. What is the remainder when 32 is divided by k(r)?
5
Let y(n) = 16*n**2 - 102*n - 54. What is the remainder when 2670 is divided by y(7)?
14
Let z = 61 - 54. Let i(q) = -3*q**2 - 22*q + 9*q**2 + z*q + 29 - 5*q**2. Calculate the remainder when i(15) is divided by 10.
9
Let z be 5 - -1 - (3 + 6). What is the remainder when 26 is divided by ((-90)/(-24))/(2*z/(-24))?
11
Let m(o) be the second derivative of o**3/6 + 25*o**2 - 120*o. What is the remainder when 214 is divided by m(-6)?
38
Let o(m) = -m**3 + 9*m**2 - 8*m + 5. Suppose 5*u + 58 = 43. Calculate the remainder when (-19 - u)/(-4) - -4 is divided by o(8).
3
Let c(i) = 370*i - 335. Calculate the remainder when 277 is divided by c(1).
32
Let q(a) = -a**3 + a**2 + 3*a + 2. Let i be q(-2). Let y = 0 + i. Let t(d) = -9*d - 31. What is the remainder when t(-6) is divided by y?
7
Let q = -1 + 4. Suppose 0 = q*h - 0*h - 18. Suppose 0 = -13*c + 16*c - 3*w - 12, -3*c = 2*w - 2. What is the remainder when h is divided by c?
0
Let o(i) = -15*i - 72. Let x be o(-5). What is the remainder when 179 is divided by x/(-9) + (-111)/(-9)?
11
Let j(t) = -2*t**3 + 43*t**2 - 5*t - 196. Calculate the remainder when j(21) is divided by 72.
68
Let v(c) = -53*c - 5732. Calculate the remainder when 1473 is divided by v(-111).
114
Let a be (-9)/(-12) - (8830/(-8))/(-5). Let r be 0*(-1)/(-2) - a/20. Suppose -208 = 7*n - r*n. Calculate the remainder when n is divided by 11.
8
Let p(i) = 1127 - 570 - 564 + 4*i. What is the remainder when 254 is divided by p(23)?
84
Suppose 164 + 101 = f. Let v = f - 230. What is the remainder when 138 is divided by v?
33
Let b(y) = -16*y + 102. Suppose -136 - 64 = 20*i. What is the remainder when b(i) is divided by 33?
31
Let c = -1564 - -829. Let f = 741 + c. What is the remainder when 15 is divided by f?
3
Let r(x) = -24*x**3 + 6*x**2 - 19*x + 2. What is the remainder when r(-5) is divided by 25?
22
Calculate the remainder when 2965 is divided by (-23)/(-3) - (22/6 + 4 - 8).
5
Let o = 5000 + -4522. Calculate the remainder when o is divided by 209.
60
Let d(f) = -f**3 + 10*f**2 - 82*f + 244. Calculate the remainder when 106 + 1 + (-15)/5 is divided by d(4).
8
Let q(j) = j**3 - 5*j**2 + 36*j - 272. Let k be q(12). Suppose -720 = -k*u + 1156*u. Calculate the remainder when 257 is divided by u.
17
Suppose 0 = -q + 3*v + 69, -236 = -13*q + 9*q + 2*v. What is the remainder when 5242 is divided by q?
55
Suppose -2*l - l - 5*r - 5 = 0, 4*l - 3*r - 32 = 0. Suppose 4*g = 2*f + 34, f + l*g + 5 = -47. Let x = 130 + f. What is the remainder when x is divided by 29?
16
Calculate the remainder when 655 is divided by (-880)/550 + 708/30.
17
Suppose 0 = -7*l + 11*l - 64. Suppose -15*q - 15 = -l*q. Suppose 0 = -3*i + i + 50. What is the remainder when i is divided by q?
10
Suppose -2*g + 702 = 5*s, 4*s - 555 = -2*g + 5. What is the remainder when 743 is divided by s?
33
What is the remainder when 1218 is divided by (10/(-18))/((-6)/108)?
8
Suppose a - 6838 = -4*a - 8*a. Calculate the remainder when a is divided by 185.
156
Suppose -4*o + 0*o + 164 = 5*k, -k + 2*o + 44 = 0. Suppose 4*m - 3586 - 6954 = 0. Suppose 15*h - m = -505. What is the remainder when h is divided by k?
34
Suppose 4*z = 186 - 126. What is the remainder when 12926 is divided by z?
11
Let k = -41 + 68. Let n(p) = 9*p**2 - 312 + 13*p + 321 + 2*p**2. Calculate the remainder when n(-4) is divided by k.
25
Let m be 100 + 5 + (0 - 2). Suppose -3*b + 65 = -m. Suppose 19 = -24*o + 25*o. Calculate the remainder when b is divided by o.
18
Let r be -1 + ((-3)/(-21))/(1/7). Suppose 2*p - 55 - 67 = r. Suppose p*b + 296 = 65*b. Calculate the remainder when b is divided by 21.
11
Let j(h) = -2*h**3 + 15*h**2 + 184*h + 8. What is the remainder when 248 is divided by j(14)?
32
Suppose -v = f + 1, -4*f - 3 + 4 = 3*v. Let d(t) = -5*t**3 - 3*t + f*t**3 + 9*t**2 - 6*t - 3. Calculate the remainder when d(7) is divided by 11.
10
Let z(f) = -3*f - 6. Suppose 5*h + 77 = -3*w - 72, h + 4*w = -40. Calculate the remainder when z(h) is divided by (-12)/(-1)*21/9.
22
Suppose -2*q - 2 = 3*t, -3*q - 4 = q + 4*t. Let o be 1 + q - (-6 + (4 - 5)). Calculate the remainder when (o/(-2))/((-3)/18) is divided by 4.
1
Suppose -2*j - 10 = 0, 223*f = 218*f + 4*j + 240. What is the remainder when 651 is divided by f?
35
Suppose 6*w + 4 = 10*w. Calculate the remainder when 77 is divided by 7/14*82/w.
36
Let a = 193 + -212. Let w = a + 36. Calculate the remainder when 79 is divided by w.
11
Suppose x - 17 = 3*o, -18*x + o - 13 = -20*x. Calculate the remainder when 251 is divided by x.
3
Let o = -193 + 197. Suppose 0 = -4*u - 4*l + 28, -3*u + 5*l = -o*u + 3. Calculate the remainder when 73 is divided by u.
1
Suppose -3 = f + 3*d, 0 = 5*f + 4*d + 16 + 21. What is the remainder when 710 is divided by 9/(63 + f) + 137/6?
20
Suppose -8*v + 219 - 46 = -315. Calculate the remainder when 102 is divided by v.
41
Let c(k) = 4*k**3 - 8*k**2 + 45*k - 35. What is the remainder when c(5) is divided by 12?
10
Let x(o) = 4 - 3*o**3 + 13*o**2 + 6 + 2*o + 2*o**3 + 1 - 2. Suppose -5*k = -10 - 55. What is the remainder when x(k) is divided by 19?
16
Suppose 0 = d - 41 - 22. Suppose 0 = 5*j - 5*c + 5, 2*j - 1 = 3*c - 2. Calculate the remainder when d is divided by -2 + (-97)/(-5) - j/(-5).
12
Let n = -82 + 144. Let q = 145 - n. Suppose -2*a - u + 118 = 2*a, -3*u + 6 = 0. Calculate the remainder when q is divided by a.
25
Let f = 59 + -28. Suppose -3*g + r - 6*r = -13, r = -4. Calculate the remainder when f is divided by g.
9
Suppose 2*l + 2*g = 0, 3*g - 16 = -3*l + 8*g. Suppose 2*s + 144 = y - 2*s, 548 = 4*y - l*s. Suppose -p + 21 = -2. What is the remainder when y is divided by p?
21
Let l(g) = 3*g - 2. Let x be l(0). Let o be (-14 - 0)/x - 3. Suppose -5*v - o*b + 195 = 0, -55 = -v - v + 3*b. What is the remainder when 103 is divided by v?
33
Let o be ((-60)/8)/((-6)/12). Let p(d) = d**2 - 4*d + 13. Calculate the remainder when p(o) is divided by 45.
43
Let f(z) = 10*z**2 - 39*z - 79. Calculate the remainder when f(-9) is divided by 71.
17
Let m = 41493 + -40619. What is the remainder when m is divided by 62?
6
Suppose 437 = -11*n + 545 + 827. Calculate the remainder when 115 is divided by n.
30
Let l = 47 - 41. Let k be 8/l - (-448)/24. What is the remainder when 53 is divided by (-12)/k + 73/5?
11
Let l(v) = 2*v**2 - 2*v. Calculate the remainder when 52/6*(-6 - (19 + -37)) is divided by l(-2).
8
Let x(w) = -w**3 + 12*w**2 - 10*w - 6. Let m be x(11). Suppose 3*p - m*p = -76. Suppose -2 + p = 2*g. Calculate the remainder when 106 is divided by g.
16
Let k(z) = z**2 - 7*z - 4. Suppose -2*u - 6 + 171 = u. What is the remainder when u is divided by k(9)?
13
Let z(f) = f**3 - 11*f**2 + 31*f - 177. What is the remainder when 67 is divided by z(10)?
1
Let h be (-4)/6 - (-40)/(-12). Let t = h - -25. What is the remainder when (-70)/(-4)*13/(