*p = 3*y - 4, -12 = -3*y + 3*p. Suppose 0 = 2*j + 3*r - 51, -j + 44 = 3*r + 11. Calculate the remainder when -1*96*y/(-6) is divided by j.
14
Suppose 0 = -497*p + 467*p + 240. What is the remainder when 17 is divided by p?
1
Calculate the remainder when ((-4263)/98)/((-2)/12) is divided by 99.
63
Suppose -105 = -3*k - 195. Let y be k*3/(-10)*-5. Let j = y + 61. What is the remainder when 75 is divided by j?
11
What is the remainder when (-3899)/2*(-1230)/287 is divided by 44?
39
Let t = 4900 - 4869. Calculate the remainder when 793 is divided by t.
18
Suppose 3 = 3*w - 12. Let f be 7 - 3 - (8 - 6). Suppose 3*u - 16 = f*m, 13 = -u + m - 4*m. Calculate the remainder when w is divided by u.
1
Let u(x) = -2*x - 19. Let v(j) = j**3 + 17*j**2 + 14*j + 32. Let r be v(-16). Suppose -90*c + 94*c = r. What is the remainder when c is divided by u(-14)?
7
Let p(a) = -2*a**2 + 13*a + 1. Suppose 10*v = 4*v + 42. Let i be p(v). What is the remainder when 41 - (-3)/i*-4 is divided by 13?
4
Let a(x) = -x**3 - 73*x**2 - 153*x - 599. What is the remainder when a(-71) is divided by 43?
10
Suppose 65*j - 35654 = -6794. What is the remainder when j is divided by 73?
6
Let t(i) = -i**3 - 7*i**2 - 69*i - 456. Suppose 145 = -3*v - 2*k + 498, 0 = -2*v + 2*k + 232. Calculate the remainder when v is divided by t(-7).
9
Calculate the remainder when 539 is divided by ((-18)/8)/(-3)*(-4 + 84).
59
Let p = -387 - -660. Suppose 4*r = -4*f + r + 207, -5*f + r = -p. What is the remainder when 103 is divided by f?
49
Let i = 203 - 199. Suppose 203 + 337 = i*d. Calculate the remainder when d is divided by 35.
30
Let c(o) = 36*o + 298. Suppose 0 = -5*k - 20, -k + 6*k - 8 = 4*w. What is the remainder when 163 is divided by c(w)?
25
Let n(q) = -28*q + 200. Let c be n(7). Suppose 17*i - 19*i + 60 = -u, c*u + 153 = 5*i. What is the remainder when i is divided by 22 + (-2)/(2/1)?
8
Suppose -1902*c + 1218 = -1896*c. Suppose -205 = -2*d - 3*d. What is the remainder when c is divided by d?
39
Suppose -8*s + 20 = 2*s. Suppose m = s*o - 6*o + 49, -35 = -5*o + 4*m. Suppose j = 2 + o. What is the remainder when 38 is divided by j?
12
Let f be 93/6*(10 + -12). Let g = 100 + f. What is the remainder when g is divided by 19?
12
Suppose -2*v + 281 + 121 = 4*z, 0 = 2*z - 5*v - 207. Let u(t) = -8*t + 17. Let k = 0 - 0. Calculate the remainder when z is divided by u(k).
16
Suppose 28 = 2*a + 12. Let i(q) be the second derivative of -q**4/12 + 7*q**3/3 - q**2 + 45*q. What is the remainder when i(4) is divided by a?
6
Suppose -197*v + 47944 = -263240 - 33369. Calculate the remainder when v is divided by (-292)/(-6)*(-3)/(-2).
70
Suppose 11*t - 3583 + 1691 = 2453. What is the remainder when t is divided by 159?
77
Let b(f) = -f. Let c(z) = -7*z - 6. Let l(g) = -2*b(g) + c(g). What is the remainder when (-2)/14 - 13824/(-189) is divided by l(-7)?
15
Let q = 276 + -647. Let v = -356 - q. Calculate the remainder when 222 is divided by v.
12
Suppose 0 = 2*y + 116*y - 1768 - 1300. Calculate the remainder when 1751 is divided by y.
9
Suppose 2*i = -3*y + 14 + 11, 3*y = i - 8. Let s(m) = 35*m - 1419. Calculate the remainder when s(42) is divided by i.
7
Suppose 4*t - t = 207. Let b(n) = -37*n + 288. Let g be b(6). Suppose -15*o + 186 = g. What is the remainder when t is divided by o?
5
Suppose 11*a - 10*a = -2*l + 749, a + 743 = 2*l. Let g = 483 - l. Calculate the remainder when g is divided by 23.
18
What is the remainder when 166 is divided by (-187)/(-6) + 0 + 2/(-12)?
11
Suppose 5022 + 526 = 236*q + 1064. Suppose -4*y - k + 444 = 0, 401 = 4*y - 3*k - 27. What is the remainder when y is divided by q?
15
Let b(h) = h**2 + 3*h - 3. Let p be b(-4). Let u be (-6 - -4)*(-3)/(18/15). What is the remainder when (p*51)/(15/u - 2) is divided by 18?
15
Suppose 9*n + 9 = 10*n. Suppose -m - n*m + 300 = 0. What is the remainder when m is divided by 26?
4
Let x(f) = -f**3 + 50*f**2 - 191*f + 527. What is the remainder when 3057 is divided by x(46)?
187
Suppose -y - 12 = -s, -23*s + 16 = -22*s - 5*y. Calculate the remainder when 265 is divided by s.
1
Suppose 9*d + 5*m = 5*d - 438, -4*m + 313 = -3*d. Let x = -218 - -155. Let y = x - d. Calculate the remainder when y is divided by 17.
10
Let s(y) = y**3 - 2*y**2 - 35*y - 2. Let p be -8*(3 + (-50)/20). What is the remainder when 251 is divided by s(p)?
41
Suppose 153*s - 18*s = 25866 - 351. What is the remainder when 1117 is divided by s?
172
Let d(v) = 48*v - 703. What is the remainder when 1296 is divided by d(16)?
61
Let m be (3/6)/((-1)/(-2) + 0). Let c(k) = -15. Let z(i) = -i + 1. Let n(v) = m*c(v) - 4*z(v). Calculate the remainder when 13 is divided by n(6).
3
Let f = -760 + 797. Suppose 39*u - f*u = 30. What is the remainder when 29 is divided by u?
14
Let t = 197 + -176. Suppose 14*g = 17*g. Suppose u - n - 85 = 4*n, g = -u - n + 79. What is the remainder when u is divided by t?
17
Let r(m) = -m**2 - 110*m - 901. What is the remainder when 98 is divided by r(-101)?
2
Suppose -4*j + 28 = 4*w, -20 = -18*w + 14*w - 2*j. Let n = -18 - -31. Suppose 45 = 4*b + n. Calculate the remainder when b is divided by w.
2
Suppose -4*n - 4*u = 277 - 1313, 0 = -5*n - 4*u + 1288. What is the remainder when 9570 is divided by n?
246
Suppose -3702 = -12*j - 2670. Calculate the remainder when 180 is divided by j.
8
Suppose -3*z + 934 - 775 = 0. Calculate the remainder when 99 is divided by z.
46
Let z(d) = -d**2 - 7*d + 10. Let o(r) = 13 - 10 + 3*r + r**3 + 1 - 1 + r**2. Let m be o(-2). Calculate the remainder when z(m) is divided by 4.
2
Suppose -22 = 2*j, -30*o - 5*j = -32*o + 67. Suppose 4*n = -1 + 25. Suppose 45 = 3*a - n. Calculate the remainder when a is divided by o.
5
Let p(l) = l**2 + 18*l - 99. Let f be p(5). Suppose 0 = 2*t - x - 67, t + 5 - f = 5*x. What is the remainder when 130 is divided by t?
22
Suppose -3*p = 5*j - 21, -2*j + 1 + 11 = 3*p. Suppose 20 = x - 3*k, 2*k = -x - j*k - 20. Calculate the remainder when 57 is divided by x.
2
Let q = -212 + 311. Let p(x) = x**3 + 8*x**2 - 13*x + 4. Let u be p(-9). Let i = -6 + u. Calculate the remainder when q is divided by i.
31
Suppose -3*g - 6 = 12. Let h = 62 - 47. Calculate the remainder when h is divided by 57*(-4)/(-48) + g/8.
3
Let a(r) = r**3 + 74*r**2 - 14*r + 7253. What is the remainder when a(-75) is divided by 34?
26
Suppose -5*a + 50 + 13 = -167. What is the remainder when 228 is divided by a?
44
Suppose -2*p = -5*y + 4, -y + 12*p + 14 = 5*p. Suppose y = 8*v + 105 - 265. Calculate the remainder when 58 is divided by v.
18
Suppose -12 + 2 = -t. Suppose t*r - 16 = 14*r. Calculate the remainder when 101 is divided by (-107)/r + (-10)/(-8) + -2.
23
Let l = 73 + -48. Suppose -2*v = 5*u - 10, 4*v = 4*u - v + l. Suppose u*k + 28 = 2*k. What is the remainder when 25 is divided by k?
11
What is the remainder when 449 is divided by 6*40/(-48) + 25?
9
Suppose 15*f = 2256 + 429. Suppose -y + 302 = x, x = -5*y + f + 143. What is the remainder when x is divided by 10?
7
Let m = 93 + -83. Let n be 12/(-9)*(-30)/2. Calculate the remainder when (-145)/(-4) - (-15)/n is divided by m.
7
Suppose -27*v - 208 = -35*v. Suppose 0 = v*d - 617 - 293. What is the remainder when 66 - ((0 - 1) + -1) is divided by d?
33
Suppose -40*a = -49*a + 198. Suppose a*z - 240 = 6*z. What is the remainder when 269 is divided by z?
14
Suppose -56*t = -530 - 2774. What is the remainder when 399 is divided by t?
45
Suppose o + 5*g - 7*g = -36, 144 = -4*o + 4*g. Calculate the remainder when 196 is divided by (19 - -3)/((-12)/o).
64
Suppose -j - 5*j - 648 = 0. Calculate the remainder when 51 is divided by j/(-8) + 4/(-8).
12
Suppose -3*z = -0*z - 3*a - 99, a - 3 = 0. Let v = -2867 + 2935. Calculate the remainder when v is divided by z.
32
Let g(u) = 3*u**3 + 5*u**2 + 8*u + 8. Let f(w) = w**2 + w - 1. Let h(r) = 2*f(r) - g(r). Let o = 108 + -87. What is the remainder when h(-3) is divided by o?
20
Let q = 530 + -523. What is the remainder when 39 is divided by q?
4
Calculate the remainder when 18596 is divided by (-605)/(-363)*9*5.
71
Suppose 0 = -2900*c + 2902*c - 1654. Calculate the remainder when 1660 is divided by c.
6
Let l = 3341 + -3324. Calculate the remainder when 83 is divided by l.
15
Let u = -32345 + 32486. What is the remainder when 560 is divide