 q = 397 - 260. Calculate the remainder when q is divided by 23.
22
Suppose -4*r + 60 = 8*r. Suppose 77 = 2*o + 5*z, r*z + 56 = 2*o + 3*z. What is the remainder when 85 is divided by o?
23
Let y = 77 - 46. Suppose -4*l = -5*z + 43, 3*l - 7 = -2*z + 8*l. What is the remainder when y is divided by z?
9
Suppose -5*t = 3*x - 106, 5*x = t + 2*t + 222. Suppose 105 = 3*l - x. Calculate the remainder when l is divided by 10.
9
Suppose -5*t + f + 81 = -12, 2*t + 4*f - 24 = 0. Suppose 5*n - 5*b - 340 = 0, -2*n - 3*b + 0*b + 151 = 0. Calculate the remainder when n is divided by t.
17
Calculate the remainder when (1113/(-42))/((-1)/4) is divided by 14.
8
Suppose 3*q - 3*n - 25 = 182, -2*q + 5*n = -123. Suppose 2*m = -a + 25, 4*a - 4*m = 2 + q. Calculate the remainder when 82 is divided by a.
19
Let m = -68 - -188. Suppose 3*c - 108 = -0*c + 5*h, 0 = 3*c - h - m. What is the remainder when c is divided by 11?
8
Let t(b) = 2*b**3 + 16*b**2 + 8*b - 6. Let l be t(-7). Suppose v + l = -2*v. Let w = 34 + v. What is the remainder when 63 is divided by w?
19
Suppose 0 = -2*v + 6*v. Suppose -5*n - 5*l + 5 = v, 17 + 3 = -5*l. Suppose s + 0 + 35 = n*t, 2*t + 4*s = 36. Calculate the remainder when 29 is divided by t.
5
Suppose -4*v - 58 = -178. Suppose -9*a - a + v = 0. What is the remainder when 19 is divided by a?
1
Suppose -2*q + 6 + 1 = -5*t, 2*q - 15 = -3*t. Suppose -q*d = -2*r - 4*d + 8, -7 = -2*r + d. Calculate the remainder when 10 is divided by r.
1
Let l(p) = -101*p + 1. Let q be l(-1). Let j = q + -52. Calculate the remainder when j is divided by -1 - (-7)/(7/18).
16
Let o(w) = -w**3 - w + 4. Let n be o(2). Let l be 4/n - (-413)/21. Suppose l = 2*p - 5. Calculate the remainder when 47 is divided by p.
11
Suppose -x = -2*u + 1 + 4, 4*x - u = 8. Let k be 4/x*(-12)/8. What is the remainder when 8 is divided by (-35)/40*k*4?
1
Let z = 58 - 37. Suppose -8*d + 59 = -z. What is the remainder when 26 is divided by d?
6
Suppose -3*q - 102 = -0*q. Let b = q - -45. Suppose 3*f - 13 = -4. Calculate the remainder when b is divided by f.
2
Suppose -10*i = -11*i + 33. Calculate the remainder when 68 is divided by 1757/77 - (12/i)/(-2).
22
Suppose -15*m + 19*m - 1372 = 0. Calculate the remainder when m is divided by 50.
43
Let t be (-3)/(-2)*2/3. Suppose 5*w - 4 - t = 0. Calculate the remainder when 3 is divided by (5 - 4)*w*2.
1
Let q = 19 - 33. Let o = q - -19. Suppose o*k = 4*k + 14. What is the remainder when k is divided by 4?
2
Let b = 1768 + -1665. What is the remainder when b is divided by 15?
13
Let b(t) = -t**2 + 12*t + 14. Let j be b(12). Let z = j - 6. Let s = 3 + z. What is the remainder when 41 is divided by s?
8
Let u = -5268 + 5310. Suppose 4*o - 88 = 5*d, 2*d = 7*d. What is the remainder when u is divided by o?
20
Let z(o) = 2*o + 7 + 3 - 3*o. Let u(q) = 3*q - 29. Let i(p) = 3*u(p) + 8*z(p). Calculate the remainder when 10 is divided by i(13).
4
What is the remainder when (-36)/(-84) - (-579)/21 is divided by 7?
0
Let r be (22/(-55))/(1/(-115)). Suppose r - 14 = 2*n. Calculate the remainder when 30 is divided by n.
14
Suppose 0 = -4*r + 2*r + 10. Suppose -17 = -i + b + b, -3*b = -r*i + 106. Let y(g) = -g**2 + 6*g - 1. Calculate the remainder when i is divided by y(3).
7
Let x = -1348 + 1483. What is the remainder when 674 is divided by x?
134
Let w = -19 - -15. Let q be (2/w)/(5/(-410)). Let l = q - -9. Calculate the remainder when l is divided by 26.
24
Let f be (-126)/45 - 1/5. Let p be 5 - 1 - (f - -3). Let g(c) = -c**2 + 8*c - 6. What is the remainder when g(p) is divided by 6?
4
Let z be (-27)/(-12)*(-12)/(-9). Suppose -10*v + z*v + 203 = 0. What is the remainder when 85 is divided by v?
27
Suppose 0 = -4*n + 27 + 17. Calculate the remainder when 119 is divided by n.
9
Let p = 39 + -16. Let q = 40 + -12. Suppose q = x + 3*x - 4*r, 0 = 2*x + r - 11. Calculate the remainder when p is divided by x.
5
Let w(n) = -6*n**3 - n + 7. What is the remainder when w(-4) is divided by 12?
11
Let k = -1396 - -1440. Calculate the remainder when 218 is divided by k.
42
Suppose 3*n - 4*m - 149 = 0, 0*m + 5*m = n - 35. Suppose 6*p = 4*p + 40. What is the remainder when n is divided by p?
15
Let w be ((-15)/(-5) - -9) + 3. Let z be (275/w)/(-5)*-3. Calculate the remainder when z/((2 - -1)/33) is divided by 31.
28
Suppose 3*t + 0*t = 42. Suppose t*g = 12*g + 88. Calculate the remainder when 129 is divided by g.
41
Suppose 16*c - c - 1500 = 0. Calculate the remainder when c is divided by 53.
47
What is the remainder when (2/4)/((-17 - -24)/532) is divided by 13?
12
Let w = -96 - 2. Let n = 128 + w. What is the remainder when 117 is divided by n?
27
Let h(q) = q + 28. Calculate the remainder when 46 is divided by h(-2).
20
Let v be (-234)/(-4)*(-88)/33. What is the remainder when 10 is divided by v/(-27) + (-2)/(-9)?
4
Let l(f) = 2*f**3 + 29*f**2 + 14*f + 44. What is the remainder when 47 is divided by l(-14)?
3
Let b(w) = -8*w - 18. Let p(c) = -c - 1. Let m(a) = b(a) - 5*p(a). Let u be m(-7). What is the remainder when (u/(-5))/(6/(-285)) is divided by 20?
16
Let l(t) = -3*t**2 - 134*t + 224. Calculate the remainder when l(-43) is divided by 75.
64
Suppose 2*z + 500 = 3*r, -6*z = -4*r - 3*z + 668. What is the remainder when r is divided by 40?
4
Suppose 3*q = -5*q + 176. Suppose 5*n + 0*n - 30 = 0. Calculate the remainder when q is divided by n.
4
Let k(s) = 2*s**3 + s**2 + s + 12. Calculate the remainder when 489 is divided by k(0).
9
Suppose -2*u + 8*u - 600 = 0. Suppose 48 = a + a + 2*j, u = 4*a + 3*j. Calculate the remainder when a is divided by 6.
4
Suppose 3*z = -12, 0 = -4*v + 5*z + 61 - 273. Let i = v + 71. What is the remainder when 37 is divided by i?
11
Let a be 2/(-8) - (21/12 - 2). What is the remainder when 38 is divided by ((a - -1) + 0)*(10 + -5)?
3
Let g(f) = f**3 + 2*f**2 - f. Let j be g(-3). Suppose -v - 5*y = -3*v + 166, -3*y - 174 = -2*v. Calculate the remainder when v is divided by (-803)/(-33) + 2/j.
21
Let o = 1943 - 1315. Calculate the remainder when o is divided by 35.
33
Suppose -2*y + 6*y - 120 = 0. Let r be 3 - (-7)/(21/y). Suppose 14 = 14*o - r*o. Calculate the remainder when 39 is divided by o.
11
Let u = 2341 - 2106. Calculate the remainder when u is divided by 83.
69
Suppose 0 = 3*v + 2*x + 56, 0*v - 3*x + 26 = -v. Let c = 26 + v. What is the remainder when 48/(-3)*(-2 + 1) is divided by c?
4
Let o = 516 - 505. Calculate the remainder when o is divided by 5.
1
Let v = 26 - 11. Let d = 23 - v. What is the remainder when 30 is divided by d?
6
Let l(n) = n**2 - 21*n + 20. Let a be l(20). Suppose k = -4*o - a + 10, -4*o = -8. Calculate the remainder when (1/3)/(3/27) is divided by k.
1
Let k = -3 + 29. Calculate the remainder when 155 is divided by k.
25
Let w be (-6)/(-4)*(-78)/(-9). Calculate the remainder when 8/(-52) + 808/w is divided by 16.
14
Let l(g) = 2*g**3 + 28*g**2 - 6*g - 55. Calculate the remainder when 85 is divided by l(-14).
27
Suppose 0 = 3*z + 5*c - 126, -4*z + 3*c + 65 = -2*z. Calculate the remainder when z is divided by (-3)/((-9)/10)*3.
7
Let d = -210 - -237. Let a = -78 + 51. Let s = 79 + a. Calculate the remainder when s is divided by d.
25
Calculate the remainder when 146 is divided by 1*(-5 - -6)*(2 + 37).
29
Suppose 624 = -101*k + 127*k. Calculate the remainder when 470 is divided by k.
14
Let w(b) = 4*b + 85. Let j be w(0). Suppose j + 27 = 8*a. Calculate the remainder when (-1)/((1 + -2)/41) is divided by a.
13
Let m = 15 + -5. Let a = 51 - 52. Calculate the remainder when 2 + 15*-1*a is divided by m.
7
Suppose 2*a = -3*h + 3*a + 117, 12 = -4*a. What is the remainder when 10 is divided by (-4)/h + (-80)/(-38)?
0
What is the remainder when 158/(((-8)/(-6))/((-2)/(-3))) is divided by 42?
37
Suppose 2*m + 3*m + 275 = 2*p, 12 = 4*m. Suppose -3*c + p = 46. What is the remainder when c is divided by 7/(-1)*(-180)/70?
15
What is the remainder when 41529/218*-1*1*-2 is divided by 12?
9
Let k = 2 - -2. Suppose k*s - 3*i = 125, -8*s + 3*s + 151 = -2*i. Let r = 35 + -25. Calculate the remainder when s is divided by r.
9
Suppose -2*v = -c - 116, -4*v + 4*c - 86 = -326. Let b = -14 + v. Calculate the remainder when b is divided by 11.
9
Suppose 3*d - 22 = -5*g + 20, 4*g + 2*d = 34. Let i(s) = 28*s. What is the remainder wh