ed by 45.
39
Suppose -28418*o = -28400*o - 216. What is the remainder when 2938 is divided by o?
10
Let j(r) = -r**3 + 2*r**2 + r - 2. Suppose 3*z + 2*x = -3*x + 14, -5*x = -4*z - 28. What is the remainder when (-35 - 14)*20/(-14) is divided by j(z)?
10
Let x(b) = -11*b - 1. Let v be x(1). Let m = -2141 + 2157. Calculate the remainder when 217 is divided by -2 - 681/v - (-4)/m.
52
Suppose k + 367 = 3*k - 3*p, -5*p + 375 = 2*k. Calculate the remainder when k is divided by 24.
17
Suppose -4168 - 2032 = -3*x + 3619. What is the remainder when x is divided by 52?
49
Suppose -11*n + 2607 = 21*n + n. What is the remainder when 3475 is divided by n?
78
Let l = 3 + 5. Suppose 5*r - 3*j - l + 0 = 0, 4*r - 36 = -5*j. Suppose 7*o - 438 = -347. Calculate the remainder when o is divided by r.
1
Suppose 5*g = -0*g - 25. Let y = 0 - g. Suppose -k + 32 + 66 = 2*h, y*h + 3*k - 247 = 0. What is the remainder when h is divided by 25?
22
Let n(h) = -h**3 + 23*h**2 - 20*h + 9. Let g be n(22). Suppose -80 - 23 = -5*u + z, 3*u - 5*z - g = 0. Calculate the remainder when 98 is divided by u.
14
Let y = -105 - -240. Suppose -4*m - 23 = -y. What is the remainder when 109 is divided by m?
25
Let a = 8692 - 8656. What is the remainder when 1098 is divided by a?
18
Let f = -1635 - -1642. Let a(g) = -g + 1. Let b(l) = 8*l - 19. Let r(y) = 4*a(y) + b(y). What is the remainder when r(7) is divided by f?
6
Let v(z) = z**3 - 10*z**2 + 8*z + 14. Let b be v(9). Suppose -40 + 165 = b*x. What is the remainder when 121 is divided by x?
21
Suppose -m - 528 = -9*m. What is the remainder when (-41)/(-8)*38 + (-18)/(-1800)*125 is divided by m?
64
Let z(j) = -j**3 - 7*j**2 - 7*j + 7. Let d(o) = o**3 - 167*o**2 - 168*o + 5. What is the remainder when z(-6) is divided by d(168)?
3
Let u = -49 + 55. Let p = 15 - 2. What is the remainder when (2 + u)/2 + 306 is divided by p?
11
Suppose -m = 4*c - 15, -4*c - m + 45 = -6*m. Suppose -c*o + 105 = 5*a, -4*a + 10 = -4*o + 110. Calculate the remainder when o is divided by 6.
5
Suppose -44*w + 60*w = 5328. What is the remainder when w is divided by 57?
48
Suppose -3*n + 3*c = 33, 0 = -4*c - 16 - 4. Suppose 6*a - 70 - 126 - 20 = 0. Let j = a + n. Calculate the remainder when 56 is divided by j.
16
Let b = 3729 + -3728. Calculate the remainder when 242 is divided by b.
0
Suppose -2*a - z = -8, -2*a + 8 = -0*a - 4*z. Suppose 6*w = 4*w - 16. Let p = w + 17. Calculate the remainder when p is divided by a.
1
Suppose 0 = p - 3*g - 502 - 706, 3*g + 9 = 0. What is the remainder when p is divided by 522?
155
Suppose 4*g + 278 = 4*t + 102, -8*t + 308 = -4*g. What is the remainder when t is divided by (-30)/(-4)*(-2)/(-3)?
3
Let d(b) = -b**3 + 5*b**2 + 5*b - 18. What is the remainder when 266 is divided by d(5)?
0
Calculate the remainder when 1039 is divided by (-48)/(-21)*756/72.
7
Let q(x) = -x**3 + 10*x**2 + 10*x + 10. Calculate the remainder when q(10) is divided by (-1)/(-5) + 1/(40/1512).
34
Suppose 0 = 5*l + 30, -62*d - 3*l + 1320 = -59*d. Calculate the remainder when d is divided by 88.
6
Let i = 18 + -18. Suppose i = -3*y - w + 524, -3*w - w = -3*y + 544. Suppose 0 = 3*l + 8*l - y. What is the remainder when l is divided by 11?
5
What is the remainder when (-25)/(-4)*(44 - 4) is divided by 12?
10
Suppose -4*u - 249*d + 253*d = -4012, 0 = -3*u + 5*d + 3009. What is the remainder when u is divided by 124?
11
Let s(q) = -48*q + 2. Let h be s(-2). Suppose 9*p = 118 + h. Calculate the remainder when p is divided by 8.
0
Suppose 5*p = 17 + 23. Let t(d) = -3*d - 20. Suppose -5*u + 4 = -b, -3*b + 2*u - 24 = -b. Calculate the remainder when t(b) is divided by p.
6
Suppose -869 - 2038 = -9*r. Suppose -n = -4*m + 358 - 23, 3*n = -4*m + r. Calculate the remainder when m is divided by 13.
5
Let l = 10 + 18. Let i(h) = 331*h - 12836. What is the remainder when i(39) is divided by l?
17
Suppose -3*j = -6*j + 9. Suppose 3*i + 2*i + 15 = 0, 5*n + j*i = -19. What is the remainder when 25 is divided by 2*(-1)/n*(-4 - -11)?
4
Let i = -1084 - -1101. Suppose -5*a - 2*n + 381 = 0, -2*a - 5*n + 134 = -31. Calculate the remainder when a is divided by i.
7
Suppose 3*g - 5*g + 2*z = -58054, z = 4*g - 116117. Calculate the remainder when g is divided by 152.
150
Let w(t) = 12*t**2 + 43*t + 135. What is the remainder when 749 is divided by w(-5)?
89
Calculate the remainder when 7398 is divided by 3/(-30) - (524/(-40) - -6).
6
Calculate the remainder when 3*65/(-39) - (-1248 + 4/1) is divided by 27.
24
Let z = 3 - -15. Suppose 6 - z = -4*b. Suppose 0*u + b*u = 18. Calculate the remainder when 34 is divided by u.
4
Let h(t) = -12*t - 65. Let q be h(-16). Suppose 2*c + 79 - q = 0. Calculate the remainder when 93 is divided by c.
21
Suppose 3*i - 218 = 154. Let y(r) = -16*r + 210. Let o be y(13). Suppose o*g - 64 = -m, 2*g = 6*g + m - i. Calculate the remainder when g is divided by 12.
6
Let m = -459 - -464. Suppose 0 = 5*n + m*d - 186 - 244, -5*n = -d - 460. What is the remainder when n is divided by 43?
5
Calculate the remainder when (-38)/(32 - 13)*-2*13 is divided by 31.
21
Suppose i - i + i = 0. Let p(a) = 4*a - 31. Let w be p(9). Calculate the remainder when 134 is divided by (50 - 25/w) + i.
44
Let o(r) = 20*r + 1125. What is the remainder when o(-9) is divided by 106?
97
Suppose 2*s - 14*s = -84. Let x(u) = -s - u**2 - 7*u - 3*u + 20*u. Calculate the remainder when 51 is divided by x(7).
9
Suppose 2*u = -3*x + 69 + 17, 162 = 3*u - x. What is the remainder when 176 is divided by u?
20
Calculate the remainder when 251 is divided by 4/((-4)/(-41)) - (-7)/28*8.
36
Let x = 9726 + -9689. What is the remainder when 1626 is divided by x?
35
Let f(z) = -5*z - 10. Let h be f(-3). Let c(s) = -s**2 + 7*s - 10. Let w be c(h). Suppose w = 2*y - 47 + 1. Calculate the remainder when y is divided by 9.
5
Let z(f) = -f**2 + 3*f + 28. Let p be z(0). Suppose -p*x - 2 = -27*x. Calculate the remainder when 43 + 0/(-5) + 4/x is divided by 11.
8
Let l(d) = -10*d - 18. Let x be l(-2). Calculate the remainder when ((-1)/(-2))/(x*(-10)/(-15080)) is divided by 14.
13
Suppose -z - 5*b = 3 + 2, 35 = z - 5*b. Let q be 9*((-40)/z - -3). Suppose q*r = 60 - 3. Calculate the remainder when 35 is divided by r.
16
Let r(g) = g**2 - 133 + 169 + 0*g**2 + 14*g. Calculate the remainder when r(-17) is divided by 22.
21
Let j(m) = 1188*m**3 + 42*m**2 - 5*m + 10. Calculate the remainder when j(3) is divided by 25.
24
Let z(d) = -12*d**3 - 24*d**2 - 25*d. Calculate the remainder when 190 is divided by z(-1).
8
Let x = 29480 - 20345. What is the remainder when x is divided by 16?
15
Suppose -260*t + 409 + 751 = -202*t. What is the remainder when 175 is divided by t?
15
Let l = 899 - 435. Let y = 491 - l. Calculate the remainder when 350 is divided by y.
26
Let q = -325 - -161. Let g = 198 + q. What is the remainder when 130 is divided by g?
28
Suppose 3*z - 26 - 1 = 0. Let a(q) = 7*q + 7. Let p be a(-1). Suppose p = 7*d - z - 159. What is the remainder when d is divided by 5?
4
Suppose 162 = y + 2*y. Let z = 163 - 126. Suppose -3*q + 20 = -z. What is the remainder when y is divided by q?
16
Let m = -110 - -27. Let q = 89 + m. What is the remainder when (q - 3)*(4 - -1) is divided by 9?
6
Suppose -b + 3*g + 5 = 0, -4*b - g = -5*b + 3. Let a(t) = t**b + 2*t + t**2 + 10 + 8*t. Calculate the remainder when 7 is divided by a(-4).
1
What is the remainder when 860 is divided by -5*3*(-108)/1080 - 786/(-4)?
68
Let w = 4066 + -3732. What is the remainder when w is divided by 5?
4
Suppose 8*z = 10*z + g - 179, -3*z + 271 = -g. Calculate the remainder when 788 is divided by z.
68
Suppose -3687 + 3575 = -8*s. What is the remainder when 23112 is divided by s?
12
Let h = -73 - -85. Suppose -5*n - 4*m = h, 2*n - 3*m = 5*n + 9. Suppose 10*l + 17 - 77 = n. Calculate the remainder when 59 is divided by l.
5
Suppose -101*k + 84*k = 62*k - 1501. Calculate the remainder when 187 is divided by k.
16
Suppose s + 87 = -3. Calculate the remainder when 228 is divided by 234/10 + s/225.
21
Let q(c) = 83*c**3 + 25*c**2 - 44*c + 3. Calculate the remainder when q(2) is divided by 57.
52
Let p be ((-288)/(-10))/((-108)/(-270)). Suppose p*m = 114 + 174. Calculate the remainder when m is divided by 1.
0
Let k = -73 - -52. Let q be 12/16 + (-3)/4 - k