emainder when r is divided by 9?
5
Suppose -2*m + 254 - 30 = 3*j, -4*m + 4*j + 468 = 0. Let h = -768 - -811. What is the remainder when m is divided by h?
29
Suppose 53*k = 35*k + 1710. Suppose 1 = o - 4. Suppose 0 = -o*h - 3*f + 116, -72 = -3*h - 4*f - 9. What is the remainder when k is divided by h?
20
Suppose 7*g + z = 2937, -8*g + 5*g + 3*z = -1269. What is the remainder when g is divided by 86?
76
Suppose -g + 793 - 258 = 2*f, -5*g = 2*f - 523. Suppose -f + 746 = 9*p. Calculate the remainder when 119 is divided by p.
13
Let n(q) = 192*q + 6215. What is the remainder when n(-28) is divided by 129?
65
Suppose -2905 = -19*l + 1283 - 768. Calculate the remainder when l is divided by 75.
30
Let f(b) = -65*b**3 + 16*b**2 + 23*b + 7. What is the remainder when f(-3) is divided by 184?
181
Let w(g) = 5*g**2 + 11 - 3 - g**2 - 25*g - 2*g**2. Let c = 78 - 73. Calculate the remainder when w(13) is divided by c.
1
Let s be (-6)/(-8) - (-947565)/180. Calculate the remainder when 77 is divided by (-4)/26 - s/(-169).
15
Suppose 175 = -2*v + 7*v. Let p be 7/((-168)/9) - (-4538)/(-16). Let o = p + 297. What is the remainder when v is divided by o?
9
Suppose 10 = -673537*f + 673532*f + 125. Let a = -38 + 129. Calculate the remainder when a is divided by f.
22
Let r be -1*4/((-8)/58). Let a = -18 + r. Suppose 17*d + 145 = 5*l + 13*d, -2*d + 145 = 5*l. What is the remainder when l is divided by a?
7
Let g(q) = q**3 - 15*q**2 + 29*q - 12. Let k = 504 - 457. What is the remainder when g(14) is divided by k?
10
Suppose -j = -o - 68, o - 2*o = j - 64. Let a = 81 - j. Suppose 5*b = 18 + 22. Calculate the remainder when a is divided by b.
7
Let l = -998 + 1008. Let x = -24 + 133. Let a = -43 + x. Calculate the remainder when a is divided by l.
6
Suppose 18*d = -63*d + 14256. What is the remainder when d is divided by 43?
4
Let h(w) = 8*w + 10*w + 13*w + w**2 - 68 + 10*w + 116. Let f(l) = -14*l - 7. Calculate the remainder when f(-6) is divided by h(-40).
5
Suppose -82 = -11*a + 17. Let u(p) = -2*p**3 + 17*p**2 + 10*p - 6. What is the remainder when (4824/(-63))/(-8) + 6/14 is divided by u(a)?
1
Let s = -3170 - -3370. Calculate the remainder when s is divided by 62.
14
Suppose 7227 - 8163 = -4*l. What is the remainder when 8423 is divided by l?
233
Let u = 165 + -83. Suppose -454*q = -456*q - 10. What is the remainder when u is divided by (29/3 + q)/(-2)*-9?
19
Suppose -12 = -3*z + 5*z. Let i be 4 + 1*z*1. What is the remainder when (i + 0)*(-116)/8 is divided by 10?
9
Suppose -j + 4*k = 2*j - 173, 4*j - 5*k = 229. Let l = 12297 + -12122. What is the remainder when l is divided by j?
22
Let v = 30 + -9. Suppose -40 = -v*c + c. What is the remainder when 181 is divided by (-2835)/(-108) - c*2/16?
25
Let a(f) = -f**2 + 22*f + 87. Let o be a(18). Suppose 39 = 6*n - o. Calculate the remainder when n is divided by 17.
16
Let s(h) = 85*h**2 + 9*h - 8. What is the remainder when 6619 is divided by s(1)?
83
Let j(m) = -m + 19. Let g be j(8). Let u = 4 + g. Suppose -s = -8*s + 63. Calculate the remainder when u is divided by s.
6
Suppose -5*j - 16 = 554. Let s = -77 - j. Suppose 3*r = -5*b + s, 0*r - 5 = 3*b - 5*r. What is the remainder when 13 is divided by b?
3
Let m(r) = 44*r**2 - 2*r - 2. Suppose -14*b = -2*b - 252. What is the remainder when m(-1) is divided by b?
2
Let k(f) = -f**2 - 34*f - 33. Suppose -h + 4 = 0, -10*n + 6*n + 196 = 3*h. Calculate the remainder when k(-28) is divided by n.
43
Suppose -s + 0*s = -123. Suppose -523*i + 526*i = s. What is the remainder when i is divided by 11?
8
What is the remainder when 0 + -1 - 1/((-3)/189) is divided by (-14)/(56/(-3))*(1 - -11)?
8
Suppose -3*n + s - 157 = n, 2*s = -2*n - 66. Let m = -1 - n. Let f(r) = 2*r**2 + 2*r - 3. Calculate the remainder when m is divided by f(3).
16
Let f be 1/(4 + 3 - 6). Let g(d) = 327*d**2 + d + 1. What is the remainder when g(f) is divided by 67?
61
Let x(m) = -m**3 + 11*m**2 - 33*m + 276. Calculate the remainder when 321 is divided by x(10).
45
What is the remainder when 959 is divided by (336/(-140))/((-2)/(-5)) + 30?
23
Suppose -59*o + 4023 = -3824. Calculate the remainder when o is divided by 5 - 3 - -19 - 1.
13
Suppose 39*p - 983 = 343. Calculate the remainder when p is divided by -4 + 95/10 + 1/(-2).
4
Let z be (0 - 24/(-9)) + 40/(-60). Suppose -74 = -0*c - 2*c + 5*x, 100 = 3*c - z*x. Calculate the remainder when 59 is divided by c.
27
Suppose -3*s + 17 + 1 = 0. Suppose 0 = s*p + 14 - 56. Suppose -13*b + 459 = -48. Calculate the remainder when b is divided by p.
4
Let t = -317 - -147. Let k be ((96/15)/8)/((-1)/t). Let z = k + -132. What is the remainder when 4 is divided by z?
0
What is the remainder when 140 is divided by (18 - 4 - 4)*(8 - (-14 + 20))?
0
Let h = 6459 - 5712. Calculate the remainder when h is divided by 242.
21
Let b(x) = -10*x + 301. Suppose -2*p + 98 = 4*k, -k = -p + 4*p - 32. Let z = k + -9. What is the remainder when b(26) is divided by z?
13
Let c(v) = v**2 - 10*v + 12. Let b be c(9). Suppose -5*r + 6 = -5*k - 34, 0 = k - 5*r + 20. What is the remainder when 15 is divided by ((k - b) + 3)*-2?
5
Let p = 42 + -14. Let n be -5 + (-1 - -112) + -5. Suppose 8 = 102*c - n*c. Calculate the remainder when p is divided by c.
4
Let o(c) = 3*c - 36. Let x be o(16). Suppose -x = -n - 4*a, -3*n + 3*a - 2 = -2*n. Calculate the remainder when 15 is divided by n.
3
Suppose 4*d + l + 156 - 520 = 0, 3*d - 311 = 4*l. Calculate the remainder when 7435 is divided by d.
88
Let o = -26 - -36. Let y(r) = 3*r + 6. Let c be y(-6). Calculate the remainder when ((-18)/c)/(1*(-2)/(-76)) is divided by o.
7
Let x(l) = l**3 + 4*l**2 + 14*l + 36. Let z be x(-3). Let a(m) = m**3 - 2*m - 4. Calculate the remainder when a(z) is divided by 2.
1
Let n = 519 - -604. What is the remainder when n/12*2 - (-5)/(-30) is divided by 27?
25
Let m = -187 + 347. Suppose -m = -4*d - 5*c, -4*d = -3*c - 115 - 45. Calculate the remainder when d is divided by (-55)/(-6) + -2 - 16/(-1536)*-16.
5
Suppose -g + 10*p + 1608 = 8*p, 3*p + 1607 = g. Suppose -9*i + g = 53. Calculate the remainder when i is divided by 61.
51
Suppose 266141 = -280*q + 921901. What is the remainder when q is divided by 8?
6
Let z = 112 - 99. Calculate the remainder when 130 is divided by (-28)/182 + 41/z.
1
Let y(z) be the first derivative of 11*z**2/2 - 61*z + 38. Let m be y(8). Let s = m + 0. What is the remainder when 161 is divided by s?
26
Let g(o) be the third derivative of -7*o**4/24 - 14*o**3/3 + 23*o**2. Let v be g(-4). Suppose -s + v = -38. What is the remainder when s is divided by 14?
10
Let f be (1/2)/((-3)/120*-5). Suppose -f*h = -4*l - 48, 5*h + 3*l - 7*l = 56. Let s(o) = o + 12. What is the remainder when 72 is divided by s(h)?
12
Let m be ((-98)/7)/(-7) - -1. Suppose -2*r = -2*y - 156, m*r + r = -y + 302. What is the remainder when r is divided by 12?
4
Let m = 3789 + -3712. What is the remainder when 131 is divided by m?
54
Suppose 922 = 2*y - 2200. Calculate the remainder when y is divided by 105.
91
Let c = -906 - -910. Suppose 73 + 20 = 3*h - 5*s, 0 = -4*s. Calculate the remainder when h is divided by c.
3
Let x(f) = -12*f + 194. Let g be x(16). Suppose 0 = -g*a, -4*a + 500 = 18*s - 13*s. Calculate the remainder when 598 is divided by s.
98
Let j = -3673 + 4113. Calculate the remainder when 1320 is divided by j.
0
Suppose 32*h + 5 + 27 = 0. What is the remainder when 106 is divided by 18/4*(h - -7)?
25
What is the remainder when (7 + 5)/(-6) + 150 is divided by 9?
4
Suppose 52*i = 66*i - 1442. Calculate the remainder when i is divided by 14.
5
Let k(q) = -q**2 - 10*q + 5. Let d be k(-10). Suppose -d*j = -15, 0*x - 2*j + 68 = 2*x. What is the remainder when 151 is divided by x?
27
Suppose -2*d + 11*u + 516 = 7*u, 5*d = 4*u + 1296. Let x = -165 + d. What is the remainder when x is divided by 9?
5
Let o = -32 + 2. Let x(c) = -c**3 - 29*c**2 + 26*c - 37. What is the remainder when x(o) is divided by 29?
25
Suppose 3*q - 6*q + 15 = 0, -2*t + 5*q = 25. Suppose -5*b - k + 150 = 0, t = -5*b - 3*k + 59 + 101. What is the remainder when 85 is divided by b?
27
What is the remainder when -21*((-196)/6)/7 is divided by 5?
3
Suppose 7824 = 149*i + 14*i. Calculate the remainder when 104 is divided by i.
8
Let g(f) = -387*f - 24 - 12