remainder when t is divided by 43?
16
Suppose 0 = -9*u - 5*g + 191465, 22812 + 19748 = 2*u - 5*g. What is the remainder when u is divided by 70?
65
Calculate the remainder when (114 - 3)/((-6)/(-4)) is divided by 65611/3185 - (1/(-15))/(1/(-9)).
14
Let b = -1637 + 1723. Let k = 47 + -23. Calculate the remainder when b is divided by k.
14
Suppose 20*w = -5*w + 3725. Calculate the remainder when 2234 is divided by w.
148
Suppose -28*v + 4959 + 5328 = -5309. Calculate the remainder when v is divided by 70.
67
Let m(x) = -x**3 + 8*x**2 - 4*x - 9. Let k be m(7). Suppose -20 = -6*a + 2*a, 2*z - 2*a = k. What is the remainder when 14 is divided by z?
3
Let s(w) = -2*w**3 + 20*w**2 + 7*w - 23. Let m be s(11). Let l = -182 - m. What is the remainder when 100 is divided by l?
4
Let n = -233 - -757. Suppose -3*q = -286 - n. Suppose 0 = -7*x + q - 60. What is the remainder when x is divided by 9?
3
Suppose 5*h - 30 = 0, 35*h = -2*t + 33*h + 4176. What is the remainder when t is divided by 99?
3
Suppose 2172 = 7*s + 569. Let h = -134 - -192. Calculate the remainder when s is divided by h.
55
Let y = 3775 - 3747. Calculate the remainder when 158 is divided by y.
18
Suppose -30371 - 932 = -166*i - 3083. What is the remainder when i is divided by 106?
64
Suppose 3*l + 3*k - 1040 = -71, -3*l = 2*k - 972. Suppose 330*z - l*z = 100. What is the remainder when 60 is divided by z?
10
Suppose 0 = 5*r + 2*o - 259, -3*r - 2*o + 157 = -0*o. Let s be ((-1)/3)/((-2)/354). Let b = s + -46. Calculate the remainder when r is divided by b.
12
Suppose n = 2*n - p - 253, 527 = 2*n + 5*p. Suppose -n - 94 = -10*b. What is the remainder when 2/2 - (1 - 208) is divided by b?
33
Suppose 0 = -20*i + 18*i + 40. What is the remainder when 25 is divided by -1*134/(-6) + i/30?
2
Let j = -240 + 264. Let v(n) = -4*n + 3. Let p be v(-6). Suppose p*z - j*z = 252. Calculate the remainder when z is divided by 17.
16
Let x = 649 - 160. Let o = x - 479. What is the remainder when 49 is divided by o?
9
Suppose -2874 = -21*a + 2271. Suppose -a = 6*r - 305. What is the remainder when 669 is divided by r?
9
Let l = 228 - 201. Let g = -150 - -417. Suppose -3*r + 70 = s + 20, 2*r = 5*s - g. What is the remainder when s is divided by l?
26
Suppose -v = 4*v. Let t be 306/(4/(-44) - v). Calculate the remainder when 1 + (-5)/7 - t/77 is divided by 16.
12
Suppose -12 = -d - i, i = 2*d - 3*i - 48. Let a = 111 - d. Let o = 132 - a. What is the remainder when 184 is divided by o?
36
Suppose -3*k + 69 = -3*c, -4*k = -c - 2*k - 28. Let m = -57 - -63. Let u = m - c. What is the remainder when 91 is divided by u?
19
Suppose -5*m + 3 + 12 = 0. Let v = -130 + 60. Let u = 86 + v. Calculate the remainder when u is divided by m.
1
Suppose 12*l + 6*d = 17*l - 317, -5*l + 365 = 10*d. What is the remainder when -669*1/1*-1 is divided by l?
66
Suppose 24*v - 9 = 21*v. Suppose -k + 17 = -d, -v*k - 2*d - d = -21. Suppose -k = -5*m + 68. Calculate the remainder when 62 is divided by m.
14
Let d = 20708 + -2824. What is the remainder when d is divided by 35?
34
Let c = -528 + 839. Suppose 3*l + 134 = c. Calculate the remainder when 353 is divided by l.
58
Let u(a) = a**2 - 19*a + 63. What is the remainder when 946 is divided by u(21)?
1
Suppose -126*r + 72 = 2*t - 121*r, -2*t + 30 = -2*r. What is the remainder when 188 is divided by t?
20
Suppose 2*i - 11 - 11 = 0. Let m = 97159 + -97074. What is the remainder when m is divided by i?
8
Suppose 5*q = 20, 4*q + 7838 = -4*b + 2814. Suppose 0 = s - 9. What is the remainder when ((-3)/2)/(135/b) is divided by s?
5
Calculate the remainder when 1/10 + (-4609)/(-110) is divided by 42.
0
Let t = 1007 + -341. What is the remainder when t is divided by 115?
91
What is the remainder when (15/(-25) - (-10)/(-25)) + -10 + 746 is divided by 48?
15
What is the remainder when (-1748)/((-14)/((-560)/(-88)) + (-2)/(-10)) is divided by 55?
49
Suppose 2*w + 4*f = 52, -11*w + 8*w + 66 = 3*f. Calculate the remainder when (-31 + -5)*3/(w/(-32)) is divided by 65.
62
Suppose -38844 = y - 10*y. Calculate the remainder when y is divided by 7.
4
Let j = 2130 - 1987. Calculate the remainder when 569 is divided by j.
140
Suppose -j - 390 = -2*s, 2*j + 1128 = 5*s + 154. Suppose -6*a + 58 = -s. Calculate the remainder when a is divided by 9.
6
Suppose 35*j + 76*j - 5841 = 9144. What is the remainder when 164 is divided by j?
29
Let m(c) = -3335*c + 382. Calculate the remainder when m(-1) is divided by 929.
1
Suppose -153*a = -156*a - 1974. Let u = 680 + a. What is the remainder when 97 is divided by u?
9
Suppose 2*z - v - 13 = 0, -4*v - 32 = -2*z - 2*z. Suppose z*o = 38*o - 891. What is the remainder when o is divided by 12?
3
Suppose -72*c - 30*c = 123*c - 106875. What is the remainder when c is divided by 257?
218
Suppose -17*v - 247 = -1556. Suppose -5*i + 141 = 4*r, -74*i + v*i = -r + 44. What is the remainder when r is divided by 22?
7
Let t = -2262 - -2821. What is the remainder when t is divided by 94?
89
Let h = -1476 + 1523. What is the remainder when 83 is divided by h?
36
Suppose -5*b - 15 = 0, -3*b + 7 = -96*r + 98*r. Calculate the remainder when 1071 is divided by r.
7
Suppose 23819 = 107*l - 132401. Calculate the remainder when l is divided by 727.
6
Suppose -43*t - 1244 = -3*f - 47*t, -3*f - 2*t = -1240. What is the remainder when 2069 is divided by f?
9
Let s(f) = -1419*f - 10026. What is the remainder when s(-9) is divided by 195?
15
Suppose 4*q - 34 + 22 = 0. Suppose 3*u - 205 + 79 = -4*x, -q*u = -5*x - 153. Suppose 0*l + 2*l = 32. What is the remainder when u is divided by l?
14
Suppose -2 = m, 5*d + 3*m - 45 = -1. Suppose 2*u - 13*k - 17 = -d*k, -5*u = 2*k - 14. Suppose 9*q - u*q = 295. What is the remainder when q is divided by 22?
15
Let t = 10958 - 10951. Calculate the remainder when 3449 is divided by t.
5
Let a = 138 - 89. Suppose 4*z = a + 159. Let o = -43 + z. Calculate the remainder when 17 is divided by o.
8
Let z(x) = 2*x**3 + 8*x**2 - 10*x - 9. Let d be z(-7). Let u = -91 - d. Suppose 4*l + u = 6*l. What is the remainder when l is divided by 15?
11
Suppose 2 = 3*n - 19. Let v(q) = q**3 + 9*q**2 + 8*q. Calculate the remainder when v(-6) is divided by (1 + 3)/((-4)/(-238)*n).
26
Let u = 781 - 749. What is the remainder when (17/3)/((-1)/(-15)) is divided by (-11)/(88/80) + u?
19
Suppose 19*u + 110 = 24*u. What is the remainder when (u - 16)*29/(2/2) is divided by 25?
24
Let b = -2010 + 2102. Calculate the remainder when 98 is divided by b.
6
Let a = 1717 - 1662. Suppose -2*p - p = -6. What is the remainder when a is divided by p?
1
Let u = -111 + 152. Suppose -3*c + u = 2*x, 3*c + 4*x - 13 = 18. Calculate the remainder when 52 is divided by c.
1
Let y(v) = -23*v + 11*v - 36*v - 40*v - 30. What is the remainder when 226 is divided by y(-1)?
52
Let y(j) = 72*j - 151. Let d(q) = 3*q**2 - 2*q - 1. Let k be d(3). Calculate the remainder when y(4) is divided by (8 + k)*(-2)/(-4).
11
Let s be (-3)/(-6)*84/21. Let f(t) = 18*t. Let j be f(1). Suppose s*o - 5*p - 20 = 31, p = o - j. What is the remainder when 38 is divided by o?
12
Suppose 0 = -5*x - 3*d + 151, 18*d + 24 = 10*d. Calculate the remainder when 10332 is divided by x.
28
Calculate the remainder when (-20)/8 - -3 - (-4)/((-40)/(-6275)) is divided by 213.
202
Suppose 2*d + 3*g = -24, 6*d - 3*d - 4*g + 70 = 0. Let s be (9/d)/(1/(-14)). Suppose -6*v = -s*v + 47. Calculate the remainder when v is divided by 25.
22
Let q = 2519 - 2410. Calculate the remainder when 422 is divided by q.
95
Let g = -144 + 105. Let p = g + 43. Suppose -p*z = -3*z - 4*d - 19, 38 = 2*z - d. What is the remainder when 93 is divided by z?
17
Suppose 7*u - 124 = 8*u. Let b = 46 + u. What is the remainder when 13 is divided by ((-104)/b)/((-1)/(-3))?
1
Suppose 44 = -25*b + 194. Suppose -b*y + 24 = -4*y. Calculate the remainder when 31 is divided by y.
7
Suppose 98291*q - 98310*q + 46360 = 0. What is the remainder when q is divided by 809?
13
Let p be -12 + 5 + 0 - -3. Let b(u) = u**3 + u + 78. What is the remainder when b(0) is divided by (p - 10/(-3))/((-2)/60)?
18
Let j be (-2)/(-11) - (-6370)/55. Let g = j - 56. Suppose -3*n + g = n. Calculate the remainder when n is divided by 6.
3
Suppose 24*y + 2 = 122. What is the remainder when (-12)/((y/2 - 2)*