
Let v be ((-9)/6)/((-9)/30). Let h be 184/7 + 2 - (-6)/(-21). Suppose -7*w + 3*k - h = -9*w, -3*w + v*k = -61. Calculate the remainder when 25 is divided by w.
8
Let m(y) = -y**2 - 3*y + 17. Suppose b + 5*o = -8, 7*o = 4*b + 2*o + 7. What is the remainder when 0 - (-24 + (3 - 5 - b)) is divided by m(-4)?
10
Let d be (-1)/(-2) + 28/8. Let j(o) = 16*o - 327. Calculate the remainder when 266/d - (-5)/10 is divided by j(21).
4
Let i(j) be the first derivative of -11*j**4/4 - 2*j**3/3 + 3*j + 16. Let v be i(-2). Let u = v + -50. What is the remainder when 94 is divided by u?
28
Let n(y) = -38*y + 48. Let i(v) = -39*v + 49. Let h(p) = 4*i(p) - 5*n(p). Let d be h(8). Let c = d + -126. What is the remainder when c is divided by 21?
18
Let s = -2140 + 2281. What is the remainder when s is divided by 10?
1
Let a = -2135 - -2474. Suppose 0 = -2*t - 3*t, 0 = 3*c + 4*t - 51. Calculate the remainder when a is divided by c.
16
Suppose 0 = 18*d - 21*d + 81. Suppose d = -5*p + 342. Suppose 12*n - 390 + 126 = 0. What is the remainder when p is divided by n?
19
Let o = -19008 - -19100. What is the remainder when o is divided by 25?
17
Let a(c) = c**3 - 4*c**2 - c - 14. Suppose -28 + 23 = -u. What is the remainder when 9 is divided by a(u)?
3
Suppose 13*w + 5*w - 3570 = -12*w. Calculate the remainder when 131 is divided by w.
12
Suppose 0 = -10*y + 2*y + 96. Suppose 2*n = 21 - 1. What is the remainder when (80 + n)/((-4)/(-2)) is divided by y?
9
Let p be 25/(-3) - 6/9*1. Calculate the remainder when 67 is divided by ((-3)/p)/(7/84).
3
Let q = -69 - -70. Let d be (q/2)/((-3)/6). Calculate the remainder when (0/6)/(d - -2) + 10 is divided by 3.
1
Suppose -440 = -5*f + 310. Suppose o = -o - 5*u + 67, 5*u + f = 5*o. Suppose -3*m + 11 = -2*m. Calculate the remainder when o is divided by m.
9
Let i = 2 + 4. Suppose -x - 45 = -3*t, 5*x = x - 2*t - 124. Let k = -6 - x. Calculate the remainder when k is divided by i.
3
Suppose -4*j - 2*f + 306 = 0, -4*j + 9*f + 285 = 4*f. What is the remainder when j is divided by 38?
37
Suppose -k = 2*b - 86 + 28, -29 = -b - k. Calculate the remainder when 144 is divided by b.
28
Let m(f) = f**3 + 89*f**2 + 1112*f + 172. What is the remainder when 142 is divided by m(-74)?
22
What is the remainder when 90 is divided by 6/10 + 2 + (-96)/(-15)?
0
Let r be (-388)/7 - (-28)/(-49). Let o = 58 + r. Suppose -o*z + 5*b - 11 = 0, z + 0*b + 2*b - 17 = 0. What is the remainder when z is divided by 2?
1
Suppose 308 = 2*d - 2*w, -817 + 56 = -5*d + 2*w. Suppose d = -10*m + 171. Calculate the remainder when 9 is divided by m.
1
Let b be 1*33 + (15 - 16). Suppose 11 + b = -y. Let t = y + 63. What is the remainder when 31 is divided by t?
11
Suppose 2*v = 7*v + 20. Let s be (0 - (v + 0)) + 107. Suppose -s = -6*g + 5*g. What is the remainder when g is divided by 23?
19
What is the remainder when 191 is divided by (-4773)/(-296) - (-10)/(-12)*(-33)/(-220)?
15
Let f(r) = 5*r**2 - 15*r + 81. Let d be f(9). Suppose 11*o - d = 287. Calculate the remainder when 286 is divided by o.
54
Let d(u) = 9*u**2 - 45*u + 27. Let j(k) = 4*k**2 - 22*k + 13. Let x(n) = -6*d(n) + 13*j(n). Calculate the remainder when 20 is divided by x(-8).
6
Suppose 4*v - 2726 + 1962 = 0. What is the remainder when 569 is divided by v?
187
Let l be (-1 + 6)*12/(-5). Calculate the remainder when -37*(6 + l + 5) is divided by 8.
5
Suppose -16318 + 3534 = -136*y. What is the remainder when y is divided by 34?
26
Let v = -23 - -34. Let b(m) = m**3 - 11*m**2 + 2 + 3*m + 2 + 4. What is the remainder when b(11) is divided by v?
8
Suppose 0 = 17*g - 2308 - 8674. What is the remainder when 662 is divided by g?
16
Let w = 10157 - 10051. What is the remainder when 5087 is divided by w?
105
Let f = 199 + -196. Suppose -2*q = -r + 197, -11*q - 595 = -f*r - 7*q. What is the remainder when r is divided by 34?
31
Suppose 3*y + 44 = -8*y. Let v(o) = -o**3 + 2*o**2 - 8*o - 23. What is the remainder when v(y) is divided by 11?
6
Let t(j) = -2*j**3 - 3*j**2 + 20*j + 334. Calculate the remainder when t(0) is divided by 192.
142
Suppose -g + 53 = -4*a, 0 = 2*g - 5*a + 12 - 109. Let u = 42 + -25. Suppose u*r + 18 = 18*r. What is the remainder when g is divided by r?
5
Calculate the remainder when ((-1214)/(-4))/(7/14) is divided by 123.
115
Suppose -120*w = -92*w - 28. Calculate the remainder when 2/(-19) + w + 51320/190 is divided by 55.
51
Suppose 0 = 509*h - 1375717 - 335904 + 290493. Calculate the remainder when h is divided by 63.
20
Let i(c) = c**2 + 2*c - 4. Calculate the remainder when 10 + -435*12/(-60) is divided by i(-6).
17
Let d = 1781 + -1023. Calculate the remainder when d is divided by 94.
6
Suppose -679 = 4*h - 0*h + 5*k, -3*k = -5*h - 821. Let g = -158 - h. What is the remainder when 14 is divided by g?
6
What is the remainder when 347 is divided by 384/(-84)*7/(-2)?
11
Suppose 788*k - 786*k = -3*v + 809, -5*k - 2*v + 2061 = 0. Calculate the remainder when k is divided by 13.
12
Suppose -4*m + m + 213 = 0. Let t(h) = 3*h**2 - 51. Let n be t(0). Let p = n - -70. What is the remainder when m is divided by p?
14
Let b(i) = 2*i**2 + 30*i + 262. Calculate the remainder when b(-12) is divided by 15.
10
Suppose 228 = -2*h + 4*u, 6*h - h + 4*u + 556 = 0. Let k(m) = -244*m + 79. Let r be k(1). Let q = h - r. What is the remainder when q is divided by 18?
17
Let m be 2/4*0 + 2. Suppose -j = m*j - 12. Suppose -103 = 9*f - 277 - 114. Calculate the remainder when f is divided by j.
0
Let i(w) = 2*w - 94. Let d(x) = x - 95. Let m(u) = -5*d(u) + 6*i(u). Calculate the remainder when 286 is divided by m(14).
7
Calculate the remainder when 1020 + -9 + (-16 - -21) is divided by 57.
47
Let s be (-4)/(-26) - 11664/104. Let g = s + 124. Calculate the remainder when 34 is divided by g.
10
Suppose 70 = q + 66, -3*q + 600 = 2*s. Calculate the remainder when s is divided by 117.
60
Suppose 3*p = -b - 5, 5*p + 48 = 3*b + 7. Suppose -3*g = -b - 2. What is the remainder when 31 + ((-279)/(-1023) - (-135)/(-11)) is divided by g?
1
Suppose 81 = 4*i + 29. Let l be i - (3/7 + 88/56). Let a(z) = z**3 - 11*z**2 + 5*z - 11. Calculate the remainder when a(l) is divided by 23.
21
What is the remainder when 1238 is divided by (7242/639)/(2/3)?
14
Let f = -9299 - -10204. Calculate the remainder when f is divided by 146.
29
Suppose -6*h = -152 - 340. Suppose -h = -q - q. Suppose 4*g = -p + 85, 6*p - 2*p + 34 = g. What is the remainder when q is divided by g?
19
Suppose 149 = -6*x - 73. Let p = x + 84. Calculate the remainder when p is divided by 17.
13
Let y be 5/((-10)/(-66)) - 3. Suppose -53*l + 50*l + y = 0. Suppose -3*m + 7 = -4*q - 42, 0 = -4*q - 4. What is the remainder when m is divided by l?
5
Suppose m - 2*m - 53 = 4*a, -2*a = 4*m + 44. Let z(s) = -11*s - 2. Calculate the remainder when z(a) is divided by 22.
20
Let t = -38867 + 39695. Calculate the remainder when t is divided by 173.
136
What is the remainder when (330/20 - 16)*408 is divided by 9?
6
Let i = 31 - 28. Let k(g) = 5 + 0 - 759*g - g**2 + 758*g + 7*g**i. What is the remainder when k(2) is divided by 7?
6
Let u(c) = 30*c - 56. Suppose k + b - 10 = -2*k, 3*b - 8 = 2*k. Calculate the remainder when 5 is divided by u(k).
1
Let a = -4404 - -4569. What is the remainder when a is divided by 22?
11
Suppose -94*l + 96*l = 24. Let o be 16/(-10)*9/l*-10. What is the remainder when 76 is divided by 18/o*2*13?
37
Suppose 0 = -12*o + o + 1078. What is the remainder when 4*((-63)/o)/(18/(-231)) is divided by 5?
3
Calculate the remainder when (10 - 7637/35)*10/15*-5 is divided by 312.
70
Let n = -2484 - -2663. Calculate the remainder when n is divided by 73.
33
Let n(p) = -79*p**2 - 1187*p - 21. Let c = 121 + 52. Let w = c + -86. Calculate the remainder when w is divided by n(-15).
6
Let q = 1806 + 566. Calculate the remainder when q is divided by 27.
23
Let r = 13 - 13. Let p be (1040 - -1)/(3 + r). Calculate the remainder when 36/60 - p/(-5) is divided by 24.
22
Let s be (-13224)/(-60) - 2*3/(-10). Suppose 18*c - c = s. Let a = 13 + 64. Calculate the remainder when a is divided by c.
12
Let r(m) = m**3 - 7*m**2 - 96*m + 10. What is the remainder when 1464 is divided by r(14)?
20
Let u(g) = g**3 + 2*g**2 - 5*g + 4. Let k be u(2). Suppose 405 - 145 = k*t. What is the remain