when 179 is divided by f.
35
Calculate the remainder when (3 + 198/(-60))*5*(-280)/15 is divided by 11.
6
Suppose -r + 2*f - 45 = -904, -5*r + 2*f = -4279. What is the remainder when r is divided by 105?
15
Suppose -3*b = -509 + 32. Let f = -58 + b. What is the remainder when f is divided by 8?
5
Let i = 3721 + -3703. Calculate the remainder when 70 is divided by i.
16
Let q be -2 - (0 + -1) - 18/(-2). Suppose q*f = -9 + 89. Let t(l) = 7*l + 32. Calculate the remainder when t(f) is divided by 13.
11
Let g be 0 + 3*(-3)/(-9). Let p be (-1222)/78 - ((-10)/6 + g). Calculate the remainder when 84 is divided by 3*((-115)/p + 2).
26
Let y(a) = a**2 + 68*a + 440. What is the remainder when 2221 is divided by y(-61)?
11
Let k = 1542 + -1519. What is the remainder when 194 is divided by k?
10
Let o = 7 - -12. Suppose 384*f = 17774 + 54688 - 14478. Calculate the remainder when f is divided by o.
18
Let x(c) = -13*c**2 + 90*c - 69. Calculate the remainder when 180 is divided by x(5).
12
Let g(a) = -79*a**3 - 5*a**2 - 3*a + 2. Let b be g(-1). Suppose b*q = 56*q + 1886. Calculate the remainder when q is divided by 17.
14
Suppose 5*m = -4*r + 44, 84 = -2*r + 6*r - 5*m. Let d = 193 - 193. Suppose -72 = -5*z + 4*o + 43, -5*o = d. Calculate the remainder when z is divided by r.
7
Let z(d) = 2*d**3 + 52*d**2 - 54*d + 16. What is the remainder when 125 is divided by z(-27)?
13
Let s = -32102 + 32499. Calculate the remainder when s is divided by 40/6*(-24)/(-10).
13
Let z(v) = -v**3 - v - 1. Suppose -q + 2*a + 9 = 0, 3*q - 13 = 5*a + 9. Let r be z(q). What is the remainder when 8 is divided by r*(-6)/(-10)*(0 + 5)?
2
Suppose 442*f = -5*v + 440*f + 591, 484 = 4*v - 4*f. What is the remainder when 1308 is divided by v?
118
Suppose 112 = -5*o + 107, 3*y + 3*o - 603 = 0. What is the remainder when 405 is divided by y?
1
Let s = -562 - -523. Calculate the remainder when 480/180*s/(-4) is divided by 17.
9
Let u = 6 - 6. Suppose 5*d - 4*d - 16 = u. What is the remainder when 791/13 + ((-11)/13 - -1) is divided by d?
13
Let p = -1698 - -1713. Calculate the remainder when 1272 is divided by p.
12
Suppose 2*t - 266 = 9*t. Let h = -36 - t. Suppose -h*n + 94 = -4*r - 78, r = 5*n - 412. Calculate the remainder when n is divided by 14.
12
Let p(f) = -f**3 - 12*f**2 - 7*f + 46. Suppose 4*z + 4*u = 100, 4*z - 2*z = -4*u + 46. Calculate the remainder when p(-12) is divided by z.
22
Suppose 2 = -2*d, -4*o - 13 = -5*d + 6. Let j(k) = -k**3 - 6*k**2 + 2*k + 31. Calculate the remainder when j(o) is divided by -5*-2*(-2)/(-2).
9
Suppose -m = -4*g - 885, 8*m = 12*m - 5*g - 3562. Calculate the remainder when 894 is divided by m.
1
Suppose t - 1 = 3*a, 5*a + 11 = -25*t + 28*t. Calculate the remainder when 331 is divided by a.
1
Suppose -3*r + 6*i = i - 18, -4*r - i = -24. Let g = 33 - r. What is the remainder when (-304)/228*1/((-16)/1932) is divided by g?
26
Suppose -802*b + 3549 = -763*b. What is the remainder when 546 is divided by b?
0
Let z = 4 - 10. Suppose -51 - 32 = -23*p + 32. What is the remainder when (-160)/(-12) - (-2)/z is divided by p?
3
Suppose -1108 = -12*y - 5*k, -5*k - 396 = 3*y - 7*y. Calculate the remainder when 283 is divided by y.
1
Let x(u) = 3*u**2 + 10*u + 12. Let j be (-89)/13 - 12/78. Let l be x(j). Let k = -13 + l. What is the remainder when k is divided by 40?
36
Let t = -1 - -29. Let z(x) = 2*x**2 + 28*x + 4. Let p be z(-14). Suppose -663 = h - p*h. What is the remainder when h is divided by t?
25
Suppose -35 = 2*z + 5*f - 116, -4*z + 156 = 4*f. What is the remainder when 1024 is divided by z?
36
What is the remainder when (0 - 8/(-10)) + 177552/360 is divided by 123?
2
Suppose 75 = 2*f - 6*w - 103, -562 = -5*f + 2*w. What is the remainder when 1475 is divided by f?
83
Suppose 0 = -5*k + 28 + 7. Suppose 5*w + k = -2*d - 20, 4*w = 4*d + 12. Let j(m) = -20*m - 2. What is the remainder when j(d) is divided by 24?
22
Let u(q) = -q**3 + 57*q**2 - 121*q - 105. Calculate the remainder when u(54) is divided by 24.
21
Let b = 122 + -101. Calculate the remainder when 827/4 + 162/(-216) is divided by b.
17
Let q(s) = 8*s - 294. Let w be q(37). Suppose m - 3*m - w*d = -130, 211 = 3*m - d. What is the remainder when m is divided by 18?
15
Let w(v) = 5*v**2 - 36*v + 164. Suppose 0 = -4*r - x - 3*x + 48, r - x = 4. What is the remainder when w(9) is divided by r?
5
Let w(a) be the second derivative of a**4/12 - 16*a**3/3 + 57*a**2/2 + 86*a. What is the remainder when w(32) is divided by 29?
28
Let r = -20696 + 21067. Calculate the remainder when r is divided by 71.
16
Suppose -600536 = 129*v - 406*v. What is the remainder when v is divided by 35?
33
Let m(x) = -137*x**2 - 830*x - 3. Calculate the remainder when 361 is divided by m(-6).
1
Let d = 4936 - 4257. What is the remainder when d is divided by 17?
16
Suppose 3*w = -u + 9 + 12, -2*u = 5*w - 41. Suppose -r = -3*t + 52, r + 52 = 2*t + u. Calculate the remainder when 67*-3*(-1)/3 is divided by t.
13
Let m = 0 + 3. What is the remainder when 141 + m/((-3)/2) is divided by 20/(-16) + 894/32*188/141?
31
Let x(u) = 11*u**3 - u**2. Let g = 1199 + -1116. Suppose -2*f + g = -y, -4*f + 50 = 5*y - 81. Calculate the remainder when f is divided by x(1).
9
Let z = 207 + -195. What is the remainder when 3/(66/488) + z/(-66) is divided by 5?
2
Let x = -158 + 305. Suppose -4*j - 4*a = -48, 0 = -j - 2*a + 3*a + 8. Calculate the remainder when x is divided by j.
7
Let i(u) = 47*u - 1. Calculate the remainder when (-12)/(-90) + 119630/525 is divided by i(1).
44
Suppose -17 = -3*q + 4*w, 26*q = 31*q - 5*w - 20. Calculate the remainder when 279 + q + (-532)/76 is divided by 17.
16
Suppose -732*g + 25944 = -638*g. What is the remainder when 1931 is divided by g?
275
Suppose 0 = 4*w - 6*w + 12. Suppose -w*d = -d - 345. Suppose -66 = -3*f + i - 28, 0 = 4*i - 16. What is the remainder when d is divided by f?
13
Let g(l) = -9*l - 3. Suppose 2*a - 2 = -30. What is the remainder when (119/a + 1)*(-166)/5 is divided by g(-5)?
39
Let o(m) = 3*m**2 - 23*m + 58. Let v be o(7). What is the remainder when 219 is divided by ((-6)/12)/((-1)/v)?
21
Suppose 86 = d - 121. Let g = d - 160. What is the remainder when 106 is divided by g?
12
Suppose -2*s + 5*l + 42 + 1501 = 0, l + 3041 = 4*s. What is the remainder when s is divided by 48?
39
Suppose -37*h + 35347 + 8942 = 0. Suppose -38*s - h = -59*s. What is the remainder when 165 is divided by s?
51
Suppose -2*m + 7 = -3. Suppose -m*d = -d - 48. Let y = -16058 - -16091. Calculate the remainder when y is divided by d.
9
Let t(g) = 24*g - 25 + 21 - g**3 - 19*g**2 + 6*g**2. Suppose 5*m - 1 = o - 2, -5*o - 4*m = -92. What is the remainder when t(-15) is divided by o?
6
Let g = -3376 + 3386. Calculate the remainder when 378 is divided by g.
8
Let u = 1078 - 573. What is the remainder when u is divided by 84?
1
Let q = -5009 + 5037. Let i be 3*2/(-3) - -7. Suppose -i*o = -0*o - 550. What is the remainder when o is divided by q?
26
Suppose 3*t - 200 = -2*t + 4*h, 4*t = h + 149. Suppose 0 = -39*c + t*c + 315. Let n = c + -77. Calculate the remainder when n is divided by 12.
4
Suppose -3*o + 6*w + 207 = 0, 4*o - 115 = -4*w + 161. Suppose a - o = -58. What is the remainder when (-165)/(-4) - (-15)/20 is divided by a?
9
Suppose 0 = 37*h - 35*h + 10. What is the remainder when 2 - (-72)/h*(-945)/42 is divided by 33?
29
Let b be (-37)/259 + 50/7. Let c(j) = -j**2 - 4*j + 104. Calculate the remainder when 97 is divided by c(b).
16
Suppose 5*x - 3*w = -7*w + 1488, -x = -5*w - 315. Suppose -9*i = -x + 30. What is the remainder when i is divided by 17?
13
Suppose 1011*u - 1692 = 993*u. What is the remainder when 1219 is divided by u?
91
Suppose 5*u = -2*y + 948 + 2650, -2*u + 5419 = 3*y. Calculate the remainder when y is divided by 55.
49
Let c be -110 + -1 + 2/(-1). Let m = 161 + c. Let q = -1345 - -1437. What is the remainder when q is divided by m?
44
Let i = 2925 + -2854. What is the remainder when 77 is divided by i?
6
Let d(v) = v**2 + 13*v + 77. Let f(i) = -i**2 + 3*i + 104. What is the remainder when f(0) is divided by d(-6)?
34
Suppose 60*z + 5624 = 136*z. What is the remainder when 799 is divided by z?
59
Suppose 6*z + 78 = 12*z. Let j = z + 45. Calculate the remainder when 170 is divided by j.
54
Let w = 229