lculate the remainder when (10 - i - -2) + 10*16 is divided by 57.
51
Let r = 53 + -34. Let d(l) = 3*l**2 + 46*l - 11. Let t be (-8)/(-12)*-2*153/12. What is the remainder when d(t) is divided by r?
17
Let j = 175 - 171. Suppose -2*x - 4*m = -14, -12 - 4 = j*m. What is the remainder when 74 is divided by x?
14
Suppose -3498 + 538 = -20*s. Suppose 0 = t + 3*m + m - 44, 0 = -4*t - 2*m + s. What is the remainder when 156 is divided by t?
12
Let u = -31 - -266. Suppose 7663 = 123*c - 26*c. What is the remainder when u is divided by c?
77
Suppose 24*g = 20*g - 112. Let y = -65 + 74. Calculate the remainder when (-861)/g + (-1)/(-4) is divided by y.
4
Suppose -2307*d = -1362*d - 63315. Let b(g) = g**3 + 5*g**2 + 7*g + 6. Let f be b(-4). Let a(y) = -2*y + 2. What is the remainder when d is divided by a(f)?
11
Let u = 276 + -275. Let d(q) = q + 7. What is the remainder when (-30)/((-8)/(-6) - (1 + u)) is divided by d(5)?
9
Let z(r) = r**3 + 15*r**2 - 14*r + 30. Let t be z(-16). What is the remainder when 58 is divided by (-4408)/(-145) + (-6)/20*t?
27
Suppose 54*z - 172 = 11*z. Suppose -5*j = -5*r - 490, -12*j + 11*j = -z*r - 92. Calculate the remainder when 387 is divided by j.
87
Let u = -79 + 87. Let o = -20 + 34. Calculate the remainder when o is divided by u.
6
Let g be (6/39)/((-9)/(-117)). What is the remainder when 317 is divided by (-2494)/(-87) + g/6?
27
Let u = 4635 + -3423. Calculate the remainder when u is divided by 3.
0
Let p = -2690 + 3169. What is the remainder when p is divided by 129?
92
Suppose -54 + 144 = 9*n. Suppose -4*p - 212 = -4*f, -4*f + 196 = n*p - 6*p. Calculate the remainder when f is divided by 9.
6
Suppose -v + 3*v = -35*v + 19388. What is the remainder when v is divided by 517?
7
Let a be (76/(-16) + 5)*0. Suppose 3*x - 130 + 28 = a. Calculate the remainder when x is divided by 7.
6
Suppose -36*k + 447 + 2353 = 100. What is the remainder when k is divided by 45?
30
Suppose 0 = 4*m + 13 + 11. Let n be 585/(-9)*m/5. Let t = 89 - n. Calculate the remainder when 43 is divided by t.
10
Suppose 11*f - 5*f - 108 = 0. Let n(r) = 35*r**2 - f*r**2 - 16*r**2 + 2 - 10*r. What is the remainder when 22 is divided by n(10)?
0
Suppose -83*u + 1451 + 1888 - 1098 = 0. What is the remainder when 4102 is divided by u?
25
Suppose -d = 4*k - 1487 - 1916, 0 = -k + 5*d + 877. What is the remainder when k is divided by 44?
16
Suppose 5*m - 5 = 0, 87*m - 89*m - 789 = -x. Calculate the remainder when x is divided by 387.
17
Let j be 1/(2 + 105/(-54)). Suppose 0*m + 5 = m - 3*g, 2*m = 2*g + j. Calculate the remainder when 51 is divided by m.
7
Let g = 141 - 59. Suppose 3*b - 5*d + 4*d = g, -2*b + 59 = -5*d. Calculate the remainder when 79 is divided by b.
25
Let q(h) = -4*h + 19. Let d be q(3). Suppose 2*u = 0, 40 = 4*n + 4*u - d*u. What is the remainder when n is divided by (3 - 5)/((-8)/28)?
3
Suppose 926 = h - 6*x, 5*x + 2256 = 4*h - 1505. What is the remainder when h is divided by 255?
179
Let u(c) = c**3 - 5*c**2 - c + 12. Let w(i) = -2*i**3 + 7*i**2 + 2*i - 24. Let q(p) = -5*u(p) - 3*w(p). What is the remainder when 37 is divided by q(-3)?
13
Let y = -9904 - -10690. What is the remainder when y is divided by 243?
57
Let n be ((-42)/(-10) + -3)/((-1)/(-40)). Let x = n - 38. Calculate the remainder when x is divided by (-1769)/(-305) - 1*2/(-10).
4
Suppose -w + 98 = 4*v, 2*w = -1009*v + 1014*v - 116. What is the remainder when 684 is divided by v?
12
Suppose -17447*m + 16513*m = -28020. Suppose 0 = -5*z - f + 29 + 26, 3*z = f + 33. What is the remainder when m is divided by z?
8
Calculate the remainder when (-110)/(-3)*576/(-256)*-10 is divided by 278.
269
Suppose 10*x + 20 = 5*x, 2*x = 4*f - 100. What is the remainder when 248 is divided by f?
18
Suppose 5*i = 0, 4*i + 22 = 3*k - 8. What is the remainder when 2168 is divided by k?
8
Let v = -5138 - -5309. What is the remainder when v is divided by 17?
1
Let h = 19802 - 19539. Calculate the remainder when 979 is divided by h.
190
Suppose 5*y - 1616 = -4*d, 36*d - 5*y = 38*d - 798. What is the remainder when d is divided by 10?
9
Let l = 689 + -643. What is the remainder when 5841 is divided by l?
45
Let s be (24 + -8)/8*-16. Let o = 52 + s. Suppose -4*y + 47 = -189. What is the remainder when y is divided by o?
19
Let a = -163 - -163. Suppose -4*m + 5*s + 619 = a, 2*m - 5*s + 0*s - 317 = 0. What is the remainder when m is divided by 31?
27
Suppose -3*z = -5*b + 70, 73 = 4*b + 5*z - 4*z. Suppose 56 = -9*h + b*h. What is the remainder when 29 is divided by h?
1
Suppose -2*m + 3*m = -3*m. Suppose m = 9*j - 93 + 30. Calculate the remainder when 61 is divided by j.
5
Suppose -5*a - 18*i = -19*i - 266, 5*a - 5*i = 290. Calculate the remainder when 311 is divided by a.
51
Let z(u) = -107*u - 598. Calculate the remainder when 183 is divided by z(-6).
7
Suppose -2*o - 12 = -6*o. Let n(q) = 39*q + 184. Let j be n(4). Suppose -7*i = o*i - j. Calculate the remainder when 203 is divided by i.
33
Suppose 73*o - 68*o = -4*g + 62, o + 4*g = 22. Let z = 3 - 1. Suppose z*c - 2*q = 176, o = 2*c + q - 172. Calculate the remainder when c is divided by 23.
21
Suppose -3*w - 4*y = -68, w + 5*y - 5 - 14 = 0. Let p(a) = -513*a + 8725. What is the remainder when w is divided by p(17)?
0
Suppose -75*q + 10*q + 1331 = -1334. What is the remainder when 482 is divided by q?
31
Let t = -261 - -289. Suppose t*w - 513 = 215. What is the remainder when w is divided by 6?
2
Suppose 0 = -4*b + 717 - 85. Suppose 265 = -15*q + 20*q. What is the remainder when b is divided by q?
52
Suppose -3*b = 29*c - 30*c - 139, -89 = -2*b - 3*c. Let k = 1 - -1. Suppose -160 = -k*g - b. Calculate the remainder when g is divided by 29.
28
Suppose 903 = 33*c - 28*c + 2*x, 5*c - 2*x - 927 = 0. What is the remainder when 187 is divided by c?
4
Suppose -584*t + 14480 = -252*t - 252*t. Suppose -124 = -2*s + 2*v, -2*v = 4*s - 0*v - 248. What is the remainder when t is divided by s?
57
Let f(x) = -x**3 - 14*x**2 - 36*x + 67. What is the remainder when 2551 is divided by f(-10)?
13
Suppose 2*g - 83*g + 1215 = 0. Let l = -588 - -884. What is the remainder when l is divided by g?
11
Let b(l) be the second derivative of 5*l**4/2 + 3*l**3/2 - 9*l**2/2 + 43*l. Suppose -q + 16 = 5. Calculate the remainder when b(1) is divided by q.
8
Suppose 2*z - 5*b - 24 = 0, -4*b + 42 - 54 = -z. Suppose -517 = -4*h + i, 16*i + 393 = 3*h + 17*i. Calculate the remainder when h is divided by z.
10
Suppose -t + 46 = -16. Calculate the remainder when t is divided by (-735)/(-57) - (-122)/1159.
10
Calculate the remainder when (143/(-2))/(-11)*(-3 - -37) is divided by 14.
11
Let k = 158 - 142. Let v(g) = -g**3 + 16*g**2 + 7*g - 47. Calculate the remainder when v(k) is divided by 36.
29
Let w = 3653 + -3625. Calculate the remainder when 331 is divided by w.
23
Let p(d) = 4*d**3 + d**2 + d - 2. Let x be p(1). Suppose -x*m + 3*m = -3. Let q = 3 + m. What is the remainder when 22 is divided by q?
4
Let x = 24248 - 24223. Calculate the remainder when 2775 is divided by x.
0
Let h = 2746 + -2742. Suppose -c + 4*c = 0. Suppose 4*v - 50 = -5*x - v, c = -h*v - 8. Calculate the remainder when 19 is divided by x.
7
Let h(y) = -85*y - 240. What is the remainder when 65 is divided by h(-3)?
5
Let h(d) = d**3 - 12*d**2 - 7*d + 29. Let v = 2074 + -2063. What is the remainder when h(13) is divided by v?
8
Let j(c) = 4*c**2 + 28*c - 5. Let m be j(-9). Let d = m + -30. Calculate the remainder when d is divided by 19.
18
Let a = -12168 - -14277. What is the remainder when a is divided by 111?
0
Let k(z) = -z - 6. Let b be k(-6). Suppose -7*w - 14 = -3*y - 927, 417 = 3*w + 3*y. What is the remainder when w is divided by (b - -1)/(1/27)?
25
Let y be ((-38)/(-6) + -5)/(3/783). Let r = y - 294. What is the remainder when 105 is divided by r?
51
Let f(h) = -h**3 + 49*h**2 - 141*h + 193. What is the remainder when 675 is divided by f(46)?
15
Suppose 54249 = 4*w + b + 3369, 3*b + 12720 = w. Let t = -9 + 36. What is the remainder when (15/20)/(10/(w/9)) is divided by t?
25
Suppose 2*a - 5*w = -3, w - 6 = 4*a - 9. Suppose t - a = 29. Calculate the remainder when 58 is divided by t.
28
Suppose -6*o - 103 = -481. Suppose -5*g - o = -213. Calculate the remainder when 16 is divided by ((-5)/(-15))/(2/g).
1