= b*f - 78. What is the remainder when 180 is divided by f?
24
Suppose -2*g = p + 9, -p - g = p + 27. What is the remainder when ((-624)/5 + -2)/(6/p) is divided by 16?
13
Suppose -15*g + g = -490. Suppose 6*r - 4*r + 28 = 2*t, -3*r = 4*t - g. What is the remainder when 23 is divided by t?
1
Suppose 11*t - 182 = -4*a + 9*t, 0 = -5*a - 3*t + 226. Let u(w) = 4*w - 3. Calculate the remainder when a is divided by u(5).
13
Suppose -3*j + 2*p + 606 + 382 = 0, 0 = 5*j - p - 1635. What is the remainder when j is divided by 62?
16
Let l(r) = 4*r**3 + 24*r**2 + r + 26. Calculate the remainder when l(-5) is divided by 38.
7
Let a = 258 + -236. Suppose -6*t - 66 = -3*t. Calculate the remainder when (-4)/t - 3776/(-44) is divided by a.
20
Let v be (-2 - -16)*(16/7 + -2). Suppose 0 = 2*a - 9*p + 14*p - 32, 4*a - 76 = -v*p. What is the remainder when a is divided by 8?
5
Let o(r) = -r**3 + 39*r**2 - 91*r + 261. Calculate the remainder when o(36) is divided by 25.
23
Suppose -5*k = 0, 4 - 92 = -2*p + 3*k. What is the remainder when 116 is divided by ((-8)/6)/(p/(-561))?
14
Let j be (-74)/26 + (-24)/156. Let u be ((-72)/16)/(2/(j - 1)). Calculate the remainder when 64 is divided by 189/u + (5 - 2).
16
Suppose 65 = w - k, -2*w + 75 + 57 = -3*k. Let z = w - -43. Calculate the remainder when z is divided by 29.
19
Let i = -9411 + 16039. Calculate the remainder when i is divided by 17.
15
Suppose 122*l = 8336 + 3518 - 3924. What is the remainder when 353 is divided by l?
28
Suppose -4*m + 47 + 41 = 0. Let a = 88 - m. Calculate the remainder when a is divided by 18.
12
Let l(h) = -15*h - h + 2*h**2 + 3 - 14*h + 0. Let g be 21 + -2 + -104 + 100. What is the remainder when 20 is divided by l(g)?
2
Let u = 6 + -9. Let x(w) = -5*w - 11. Let a be x(u). Suppose 4*l + 13 = 3*z, -a*z + 3*z = l - 9. What is the remainder when 41 is divided by z?
6
Let f be (-6)/(-15) + (-48)/20. Let t be (-18)/9 - f*47. Suppose 2*b - t = -2*b. Calculate the remainder when 65 is divided by b.
19
Let g(t) = t**3 + 5*t**2 - t - 1. Let b be g(-5). Suppose 2*h - 107 = 3*y, b*y - 230 = -5*h - y. Let a = -29 + h. What is the remainder when a is divided by 12?
8
Let x(i) = 2*i**3 + 3*i**2 - 2*i + 4. Let t be 93/(((-84)/(-8))/(-7)). Let u = t + 65. What is the remainder when x(u) is divided by 20?
19
Let r = -2012 + 2047. What is the remainder when 52 is divided by r?
17
Suppose 0 = 5*x - 1043 + 73. Suppose -3*w - 26 = 3*m - x, -4*w + 5*m = -179. What is the remainder when w is divided by 12/(4*(-1)/(-6))?
15
Suppose -3*b - 60 = -5*b. What is the remainder when 2*9/(-24)*336804/(-1143) is divided by b?
11
Suppose 9 - 36 = -o - 2*l, -2*l + 8 = 0. Suppose -24*u + 300 = -o*u. Suppose 60 = -4*n + 184. Calculate the remainder when u is divided by n.
29
Suppose 2*u + 4*x - 256 = 0, 0 = -3*u - 0*x - x + 359. Calculate the remainder when u is divided by 12.
10
Let c(m) = 105*m - 99. What is the remainder when 100 is divided by c(1)?
4
Let o(n) = -n**3 - 12*n**2 + n + 10. Let g be o(-12). Calculate the remainder when g/11 + 175/55 + 26 is divided by 15.
14
Let z(u) = -u - 5. Let x be z(-14). Let i(d) = d + 13. Suppose -4*t = t - 415. What is the remainder when t is divided by i(x)?
17
Suppose 0 = -61*x + 51*x + 50. Suppose x*f - 5*h = -h + 173, -f + 5*h + 43 = 0. What is the remainder when f is divided by 23?
10
Let h = 244 - 172. Suppose -10*x + h = -238. What is the remainder when x is divided by 20?
11
Let z(k) = -2*k**2 - 88*k - 75. What is the remainder when 636 is divided by z(-39)?
6
Suppose 0 = 7*g - 12*g + 365. Let s = g + -73. Suppose s*f - 2*f - 5*l = -30, -f - 2*l = -14. What is the remainder when 48 is divided by f?
8
Suppose -164 = 6*o - 56. Let h(v) = -5*v - 76. What is the remainder when 24 is divided by h(o)?
10
Suppose 5*o - 2000 = -2*o - 13*o. Let r = -78 + 132. What is the remainder when o is divided by r?
46
Suppose -22237 = -39*v - 1762. What is the remainder when v is divided by 108?
93
Suppose -110 + 110 = -21*u. Suppose u = -3*h + 2*c + 100, 3*h + 2*c = c + 94. Calculate the remainder when h is divided by 15.
2
Let j(x) = 14*x**2 + 68*x + 69. Let r(k) = k**3 + 11*k**2 + k + 15. Let p be r(-11). What is the remainder when 462/(-28)*p/(-3) is divided by j(-1)?
7
Suppose 45*z - 1294 - 38317 = -6671. Calculate the remainder when z is divided by 49.
46
Let o(t) = 164*t + 1348. Calculate the remainder when o(0) is divided by 10.
8
Suppose 5*h + 106 + 49 = 3*g, -4*g + 202 = -6*h. What is the remainder when g is divided by 12?
4
Suppose -19 = 7*d - 75. Let r(k) = 17*k - 16. Let t be r(d). Suppose -4*h + t = h. What is the remainder when 141 is divided by h?
21
Let o = -646 - -643. Calculate the remainder when 521/2 + o/(-6) is divided by 33.
30
Let h be ((-2)/4)/(5 - (-805)/(-160)). Suppose h = 2*i + 2*s, -5*s = -2*i - 0*i - 19. What is the remainder when 11 is divided by i?
2
Suppose 0 = -124*z + 118*z + 306. Let p = z + 5. Calculate the remainder when p is divided by 30.
26
Suppose 3*o - 4 = -o, -4*o - 24 = -4*s. Suppose 0 = -3*c + 53 + s. Suppose 89*y = -789 + 6040. What is the remainder when y is divided by c?
19
Suppose 5*x - z + 3044 = 9*x, 5*x + 2*z = 3802. What is the remainder when x is divided by 10?
2
Let q(w) = -w + 4 - 2*w + 2 + 3*w + 18*w. Let n be (-1 - 1)*(0 + -1). What is the remainder when q(n) is divided by 22?
20
Suppose 0 = 2*a + a, -2120 = -5*b - 3*a. Let i = b - 247. Suppose -19*s + 23*s = 120. Calculate the remainder when i is divided by s.
27
Let d(l) = -2*l**3 - 4*l**2 + l + 2. Let i be d(-3). Let n(w) = 34*w**2 - 16*w**2 - 13 - i*w**2. Calculate the remainder when 17 is divided by n(4).
2
What is the remainder when (17/2)/(2601/(-372) - -7) is divided by 11?
9
Suppose 14*u = -35*u - 42*u + 4550. Calculate the remainder when 909 is divided by u.
9
Let c(z) = z + 1. Let t(p) = -2*p + 24. Let a(n) = c(n) + t(n). Suppose -234 = 10*m - 28*m. Calculate the remainder when 19 is divided by a(m).
7
Suppose -7*a + 11411 = -k, -84*k + 79*k = -a + 1669. Calculate the remainder when a is divided by 783.
63
Suppose 5*h + 49 = 10*k - 7*k, -8*h - 60 = -4*k. Calculate the remainder when 3632 is divided by k.
21
Let n = 6260 + -6243. Calculate the remainder when 232 is divided by n.
11
What is the remainder when 46399 is divided by 42/(-49)*(-49000)/210?
199
Let l(y) = 347*y + 141. What is the remainder when l(2) is divided by 410?
15
Let x = 24141 + -22812. What is the remainder when 2671 is divided by x?
13
Let s be (12 + -9)/((-3)/452). Let d = s - -670. What is the remainder when d is divided by 101?
16
Let b = -142 + 220. Let l(y) = 5*y**2 + 77*y - 12. What is the remainder when b is divided by l(-16)?
6
Let d be -71*(-3 - 6/(-3)). Let k = 52 - d. Let i = k + 30. Calculate the remainder when 54 is divided by i.
10
Suppose -2 = -19*l + 542 + 1299. What is the remainder when l is divided by 34?
29
Suppose -2*o + 1037 = 3*p, -2*p + 4*o + 0*o + 686 = 0. Suppose -26*j + 29*j + 108 = y, -7 = j. What is the remainder when p is divided by y?
84
Suppose 2*m + 60 - 64 = 0. Suppose m*k = c + 36, 4*c - 5*c = 5*k + 36. Let w = 70 + c. Calculate the remainder when 134 is divided by w.
32
What is the remainder when (-8738)/(-39) + (-270)/5265 is divided by 194?
30
Calculate the remainder when 8005 is divided by (27 - (-20672)/160) + (-8)/(-10).
155
Let h = -94 - -98. Suppose -4*b - 5*m + 124 = 0, -5*b + h*m + 119 + 36 = 0. What is the remainder when 371 is divided by b?
30
Suppose 4*d = -6*i + i + 1960, 0 = 5*d - 4*i - 2491. Let z = -195 + d. What is the remainder when z is divided by 77?
69
Let k = -5469 - -7355. Calculate the remainder when k is divided by 30.
26
Let m(c) be the second derivative of -c**4/12 - 11*c**3/6 + 13*c**2/2 + 34*c. What is the remainder when m(-10) is divided by (-16)/(-1) - (3 + -3)?
7
Let f = 92 - 87. Suppose 0*m - 106 = -4*t + f*m, -2*t = -3*m - 52. Calculate the remainder when 167 is divided by t.
22
Let p = -389 + 990. What is the remainder when p is divided by 17?
6
Suppose 1054 = 156*n - 1442. Let k = -1 + 21. Calculate the remainder when k is divided by n.
4
Suppose 84*v = -238*v + 24472. What is the remainder when 103 is divided by v?
27
Let a(l) = l - 7. Let t be a(12). Suppose -20*o = -t*o + 45. Let z = o - -12. Calculate the remainder when 15 is div