*v = -19*v - 698280. Calculate the remainder when v is divided by 61.
58
Let b(t) = t**3 + 8*t**2 - t - 7. Let f be b(-7). Let v = -29 + f. Suppose 7*i - 17576 = -17023. Calculate the remainder when i is divided by v.
19
Let h be 3/(12/(-32)) + 0. Calculate the remainder when 37 is divided by -1*51*h/24.
3
Suppose 33 = 3*a - 0. Suppose a*n - 1672 = -0*n. Suppose -n = -10*p - 32. What is the remainder when 119 is divided by p?
11
Let o(g) = g**2 + 8*g + 33. Let n be o(-19). Let j = n + -228. Calculate the remainder when j is divided by 2.
0
Let s = 34396 - 34283. What is the remainder when 353 is divided by s?
14
Let v be -1 - -6*(92/12 - 1). Suppose 4*c + 19 = v. Suppose -3*n - 12 = 0, -4*n = 2*x - 0*n. Calculate the remainder when x is divided by c.
3
Let a = 677 + -1289. Let y = a - -648. Calculate the remainder when 179 is divided by y.
35
Suppose 0 = t - 30 - 93. Suppose -21 + 19 = 5*i - 3*f - 29, -f = -6. Calculate the remainder when t is divided by i.
6
Suppose 4*l = 4*m - 200, 1092 = 3*m + 3*l + 924. Calculate the remainder when 68 is divided by m.
15
Suppose -c + 11 + 107 = 0. Suppose n + 5*o = -2 + 81, -2*n = 2*o - c. Let w = 1 - -10. Calculate the remainder when n is divided by w.
10
Suppose -49*o + 53*o = -148. Let b = 50 + o. Let l(y) = 7*y - 89. What is the remainder when l(16) is divided by b?
10
Let k(h) = 6*h - 6. Let l be k(1). Suppose -5*z + s + 84 = 0, l*s + 55 = 3*z + 4*s. Calculate the remainder when 47 is divided by z.
13
Let a(g) = 10*g + 28. Let y = -2 - -49. Suppose -5*w = 4*n - 7*n - y, 0 = 5*w + 2*n - 27. What is the remainder when a(-1) is divided by w?
4
Let y = -168 - -176. What is the remainder when 212 is divided by y?
4
Suppose -x + 5*o = 17 - 3, 4*o = 16. Suppose -q + 480 - 117 = 0. Calculate the remainder when q is divided by x.
3
Let n be (18 - 18) + 39 + 0. Let q = n + -35. Calculate the remainder when 0*1/q + 37 is divided by 20.
17
Let r be ((-4)/3)/(24/108). Let c(x) = x**3 + 8*x**2 + 4*x + 3. Let g = -734 + 747. What is the remainder when c(r) is divided by g?
12
Let c = 136 - 129. Let a(k) = -k**3 + 6*k**2 + 9*k - 7. Suppose 0 = 3*u + t - 96, -6*t + 2*t - 12 = 0. Calculate the remainder when u is divided by a(c).
5
Let f = 345 + -223. Let j = -2001 + 2052. What is the remainder when f is divided by j?
20
Let j = -617 - -628. Calculate the remainder when ((-9)/(-6))/(3/238) is divided by j.
9
Suppose 5*t - 116 = 24. Let a = t + 9. Suppose w + 5*q = a + 16, -3*w = 4*q - 104. What is the remainder when w is divided by 8?
4
Let i(p) = 3*p**2 + 15*p + 34. Let m be i(-5). Suppose -31*h - 585 = -m*h. Calculate the remainder when h is divided by 51.
42
Let p(u) = -38*u - 2013. What is the remainder when (-6)/(-9) + (-1)/(-3) is divided by p(-53)?
0
Suppose -q = a - 18, 4*a + 4 = q + 6. Let d be 27/6*q/3. Let s = d + -1. What is the remainder when s is divided by 11?
9
Suppose -29 = -11*h + 158. What is the remainder when 608 is divided by h?
13
Suppose 0*g + 8*g - 24 = 0. Suppose g*o - 5*m - 19 = 115, 2*o = 5*m + 86. What is the remainder when o is divided by 5?
3
Let k = -6773 - -6796. What is the remainder when 435 is divided by k?
21
Let y = 395 - -153. Let p = 637 - y. Suppose 0 = 6*w - 2*w - 52. What is the remainder when p is divided by w?
11
Suppose -19 = -3*i + 8. Suppose 6 + i = 3*l. Let a(x) = -x**3 - 15*x**2 - 22*x - 94. What is the remainder when a(-14) is divided by l?
3
What is the remainder when (-1068)/(-13) - (-286)/(-1859) is divided by 114/10 - 8/20?
5
Let h(x) = x**2 + 9*x - 18. Let t(z) = 2*z - 31. Let r = -22 - -32. Let d be t(r). What is the remainder when 17 is divided by h(d)?
1
Let f be 3 + -9 + 9/1. Suppose -4*d + 161 = -f*j - 14, 2*d + 3*j - 65 = 0. What is the remainder when 75 is divided by d?
35
Let k be (-22)/(-12) + 1*2/12. Suppose k*u + 8 = 4*u. Suppose -2*a = 2*a + 2*r - 76, -62 = -3*a - u*r. Calculate the remainder when 51 is divided by a.
15
Let h = -12481 + 12498. Calculate the remainder when 326 is divided by h.
3
Let n = 79 + 23. Let o = -134 - -187. What is the remainder when n is divided by o?
49
Suppose 2428 = 4*f + 2*x, 65*f + 5*x + 2470 = 69*f. What is the remainder when f is divided by 23?
12
Let d(q) = -2*q - 8. Let n be -2 - (4 - 14)/(-5). Let t be d(n). Suppose 3*z - 9 = -t. What is the remainder when 10 is divided by z?
1
Let a(y) = 13*y - 34. Let d be a(3). Calculate the remainder when (299 - (d - 5)) + 0 is divided by 76.
71
Let m be 3/2*(-336)/36. Let u = -144 + 144. Calculate the remainder when 70/m - (-67 + u) is divided by 9.
8
Suppose 5*j - 12 = j - 3*y, -16 = 2*j - 4*y. Suppose 2*f - 3*f + 205 = j. Calculate the remainder when f is divided by 19.
15
Suppose -t - 17 - 6 = -4*v, 4*t = -v - 7. What is the remainder when (8 - 9)*1*-19 is divided by v?
4
Let w(n) = -n**2 - 8*n + 7. Let x be w(-7). Suppose -309 = -x*a + 11*a. Let b = 118 - a. Calculate the remainder when 28 is divided by b.
13
Let l(v) = v**2 - 4*v - 23. Let n(t) = -t**2 - 4*t - 1. Let f be n(-5). Let j be l(f). Suppose 2*c = -5 + j. What is the remainder when 45 is divided by c?
13
Suppose p = 2*p - 5*i - 92, 382 = 5*p + i. Suppose 8*y - 115 = p. Let x = -49 - -167. What is the remainder when x is divided by y?
22
Suppose 508*n = 501*n + 6293. Suppose -n = -58*z + 27*z. Let b = -12 - -29. What is the remainder when z is divided by b?
12
Calculate the remainder when 8057 is divided by 62*((-6)/4)/(49/(-14) - -2).
59
What is the remainder when -1*2/24 + ((-2541530)/(-24))/37 is divided by 7?
6
Suppose 28*u = 20*u + 2224. Let o(k) = k**2 - 23*k + 23. Calculate the remainder when u is divided by o(24).
43
Let z = 64 + -20. Let p be (-4)/(-10) + 476/35. Let b(a) = -a + 26. Calculate the remainder when z is divided by b(p).
8
Suppose -3*y + 131 = -64. Suppose -y = -4*j - 45. What is the remainder when 27 is divided by j?
2
Suppose 5*o = -2*k + k + 29, -2*o = 4*k - 26. Suppose -6*f - 5*q + 19 = -4*f, 3*q = -o*f + 57. Calculate the remainder when 124 is divided by f.
4
Suppose -27 - 35 = -3*w - 41. What is the remainder when 56 is divided by w?
0
Suppose 0 = -12*k + 4*k + 128. Suppose 9 = -k*g + 89. Calculate the remainder when 23 is divided by g.
3
Let d be (4 - (-2 - -2))/(10/15). Calculate the remainder when -5 - (d - 22 - -5) is divided by (-2 - (0 - 0)) + 4.
0
Let z be (-848)/4 + -2 + -2. Let m = -90 - z. What is the remainder when m is divided by 43?
40
Suppose -3361 = 19*j - 10562. What is the remainder when j is divided by 257?
122
Let g be 1754/(-6) - 3/(-45)*-10. Let r = g - -374. Calculate the remainder when r is divided by 36.
9
Let v = -2882 + 3051. Calculate the remainder when v is divided by 81.
7
Let i be ((-1)/2)/(5/(-40)). Suppose 0 = -70*q + i*q + 50622. Calculate the remainder when q is divided by 32.
31
Let i be 2/10 - ((-1866)/(-5) - 4). Let c = -232 - i. Let j(h) = 3*h**3 - 3*h + 2. What is the remainder when c is divided by j(2)?
17
Let l = 18428 + -17590. Suppose 0 = -t - 5*a + 1, -5*t + a = -4*t - 25. What is the remainder when l is divided by t?
19
Let x(h) = h**2. Let c be x(3). Let a = c + 34. Suppose -32 = 83*n - 85*n - 2*y, -3*n - 5*y + 50 = 0. What is the remainder when a is divided by n?
13
Suppose -11945 = -26*c + 1965. Calculate the remainder when c is divided by 108.
103
Suppose 5*j + 4*r = 7936, 947 + 641 = j + r. Suppose -92*q = -70*q - j. Suppose 0 = 3*l - 33 - 12. What is the remainder when q is divided by l?
12
Let a(v) = -8*v - 3. Let o = 23785 + -23712. What is the remainder when o is divided by a(-2)?
8
Suppose -3*g - 71 = -p, 2*p + g = 4*p - 162. Suppose -21*s + p = -547. Calculate the remainder when 61 is divided by s.
1
Let z(f) = -7*f + 3. Let k(t) = -3*t + 2. Let v(q) = 5*k(q) - 3*z(q). Suppose 9*m - 190*m = -3502 + 968. Calculate the remainder when v(4) is divided by m.
11
Let i = 117 + -83. Let j be 3/(-5) + 557855/425. Let c = j + -1298. Calculate the remainder when i is divided by c.
6
Let y = 665 + -601. Let x(f) = f**2 + 3*f - 9. Let r be x(-5). Calculate the remainder when y is divided by r/(-7) + 492/14.
29
Suppose 7*j + 217 = 4*x + 38, -2*x + j + 77 = 0. Calculate the remainder when ((-153)/(-2))/((-3)/(-4)) is divided by x.
30
Suppose -216 = -2*h + 3*v, -4*h + 634*v - 633*v + 402 = 0. What is the remainder when 1266 is divided by h?
78
