n 1523 is divided by 61/4 - (-42)/(-168).
8
Suppose -87 = -6*o - 15. Suppose -7*v + o*v - 785 = 0. Calculate the remainder when v is divided by 8.
5
Let g = -12679 - -12685. What is the remainder when 9616 is divided by g?
4
Let x be -7 - -6 - -3 - 4. Let r = 7 + x. What is the remainder when 12 is divided by r?
2
Suppose -110*w + 2374 = -108*w - 2*u, -4753 = -4*w - u. Calculate the remainder when 1194 is divided by w.
6
Suppose -15687 + 5860 = -31*f. Calculate the remainder when f is divided by 75.
17
Suppose 0 = 3*c - u - 46, 0 = c - 5*c + 4*u + 72. What is the remainder when (2/(-7))/(295584/16422 + -18) is divided by c?
13
Let m be (-3 + 20/8)/((-7)/(-6972)). Let i = -489 - m. What is the remainder when 511 is divided by i?
7
Let p = 968 - 645. What is the remainder when p is divided by (-6)/(-3)*75/6?
23
Suppose 0 = 3*k + 2*c + 107, 0*c - 4*c - 109 = 3*k. Let f = -24 - k. Let n(q) = -12*q**2 + 434*q - 31. What is the remainder when n(36) is divided by f?
8
Suppose 1375 = 23*g + 32*g. Calculate the remainder when 16/(-10)*2790/54*-3 is divided by g.
23
Suppose g - 4*k - 6 = 0, 0 = -3*g - k + 10 + 8. Let a(f) = 6 + g*f - 2*f - 2*f. What is the remainder when a(6) is divided by 5?
3
Let n(v) = 71*v**2 + 87*v + 45. What is the remainder when n(-4) is divided by 272?
17
Let p = -727 + 1258. Suppose 669 = 15*q - p. What is the remainder when 555 is divided by q?
75
What is the remainder when 716 is divided by 366/28 - 178/2492?
1
Suppose 30*v + 16*v - 7630 = 17854. What is the remainder when v is divided by 53?
24
Let w be 1*2*3591/(-14). Let s = w - -539. Calculate the remainder when 67 is divided by s.
15
Let i(g) = -11*g - 8*g + 19 + 18*g. Calculate the remainder when 33 is divided by i(7).
9
Suppose 2*x + 3*q + 146 = 4*q, 2*x + 4*q = -166. Calculate the remainder when (0 - 840/9)*90/x is divided by 17.
10
Suppose 0 = 8*u - 161 + 129. Suppose u*s + 260 = 4*n, 3*s + 15 - 9 = 0. What is the remainder when n is divided by 40?
23
Let y(b) = 67*b + 7. Suppose k - 417 = -5*z - k, 3*k = -z + 86. What is the remainder when y(11) is divided by z?
80
Let k = -96 + 115. Let i(f) = 4 - 75 + 41 + 6*f. What is the remainder when k is divided by i(7)?
7
Let j(u) be the second derivative of u**3/6 + 47*u**2/2 - 14*u. Let h be j(-15). Suppose -24 = -4*q + h. Calculate the remainder when q is divided by 9.
5
Let m(h) = h**3 + 2*h + 1. Suppose -4*g = -7 - 5. Let i(d) = -17*d**2 + 489*d + 125. What is the remainder when m(g) is divided by i(29)?
7
Let t = 2689 + -2681. Suppose 3*k = -3 + 12, 2*p - 4*k - 194 = 0. Calculate the remainder when p is divided by t.
7
Let n(a) be the second derivative of -a**5/20 + 5*a**4/4 - 3*a**3/2 - 37*a**2/2 - a + 12. Calculate the remainder when n(14) is divided by 17.
16
Suppose 5*s + 3*q = 171, -2*s + 15*q = 14*q - 64. Calculate the remainder when 426 is divided by s.
30
Suppose -127 = -3*d + i + 234, -493 = -4*d - i. Suppose -8 = 2*w + 4. What is the remainder when d is divided by (w/(-9))/((-2)/(-93))?
29
Let r(o) = -2*o**3 + o**2 - 2*o - 2. Suppose 19*w - 17*w = 4. Suppose -13 = 5*d + w. Calculate the remainder when r(d) is divided by 23.
21
Suppose -4*p - 2*a + 58 = -60, p + a = 27. Calculate the remainder when 276 is divided by p - (-1 - (-3 + 1))*4.
24
Suppose 0*i = 2*i + 270. Let z = i + 137. Calculate the remainder when z is divided by 2.
0
Let c = -90 - -103. Suppose 2*h - 9 = -3*r + c, 3*h - 6 = 0. Let j = 9 + 10. What is the remainder when j is divided by r?
1
Let s be -1*(-6 - 37)*1. Suppose -s*n + 37*n = -270. Calculate the remainder when n is divided by 21.
3
Suppose -77*n + 79*n = 2*q - 770, n + 1549 = 4*q. Calculate the remainder when 814 is divided by q.
38
Suppose -5*u - 6 = -26, -x = -3*u + 5. Suppose 2*z - x*z - 150 = 0. Calculate the remainder when z/((-7)/(56/3)) is divided by 21.
17
Let a(o) = -o**3 - 24*o**2 - o - 13. Suppose 5*c - 19*c - 336 = 0. Calculate the remainder when a(c) is divided by 7.
4
Suppose -2*r + a = -59 + 18, 3*r + 4*a = 56. Suppose -2*m = -5*p - 449, -m + 242 = -2*p + r. Calculate the remainder when m is divided by 44.
36
Suppose -4*y + 2*x + 0*x + 246 = 0, 2*y - 135 = 5*x. Let b = -346 - -370. What is the remainder when y is divided by b?
12
Suppose 4*n - 5*n - 4*s = -28, -s + 13 = n. Let y be (-6)/(-9)*(-1 - -28). Suppose -n*b + y = -6*b. Calculate the remainder when b is divided by 1.
0
Suppose 4*d + s = 385, -d - 101 = 4*s - 186. Calculate the remainder when 191 is divided by d.
94
Suppose 3*d - 39 = -5*a + 3*a, a + d = 21. Suppose -3*i + 87 + a = 0. What is the remainder when ((-126)/54 + 1)/((-4)/438) is divided by i?
35
Suppose 0 = 3*h + 5*d - 66, 22*d = 5*h + 17*d - 70. Suppose h*g - 208 - 64 = 0. Calculate the remainder when 136 is divided by g.
8
Suppose 0 = -53*a + 449 + 399. Suppose 0*q - 1530 = -2*q. What is the remainder when q is divided by a?
13
Suppose 4*n = -3*t + 9410, -3*t = 221*n - 223*n - 9452. Calculate the remainder when t is divided by 45.
41
Suppose 5*o = 15 + 45. Let c = 471 + -468. Suppose 2*g - 123 = -c*b + 4, 0 = 5*b + 5*g - 215. Calculate the remainder when b is divided by o.
5
Let x = -12452 + 12588. What is the remainder when 407 is divided by x?
135
Suppose 196*s - 12810 = -54*s + 67*s. Calculate the remainder when 259 is divided by s.
49
Let w(b) = -8*b**3 - 2*b**2 + 5*b - 6. What is the remainder when w(-3) is divided by 8?
1
Suppose -3740 + 29428 = 104*k. What is the remainder when k is divided by 120?
7
Let y(o) = o**3 + 11*o**2 + 5*o + 4. Suppose x - 20 = -28. Let a be y(x). Suppose -6*b + 12*b - a = 0. What is the remainder when 76 is divided by b?
24
Suppose -7*x + 0 = 14. Calculate the remainder when 186 is divided by (1/5 + x)/(4/(-60)).
24
Calculate the remainder when 3/(-5) + -1 + 1/(-5)*-3823 is divided by 6.
1
What is the remainder when (-988)/(-2)*(0 + 1) is divided by (-8*((-390)/(-40) + -10))/((-2)/(-55))?
54
Suppose -39*l = 40*l - 4819. What is the remainder when 293 is divided by l?
49
Suppose -5*j = -o - 21, 26 = 3*o + 4*j - 6. Suppose 6*c - 1380 = c + 5*q, -o*c = -3*q - 1104. Calculate the remainder when c is divided by 28.
24
Suppose 440 = -6*l + 14*l. What is the remainder when 1480 is divided by l?
50
Suppose 3*a - 460 = 152. Suppose -4*r - 2*r = -a. Let n = 303 - 169. Calculate the remainder when n is divided by r.
32
Let m be (-5 - (3 + -5)) + 6 + -2. Let u be (2 - -24)/(m/8). Suppose -d = -2*h - 47, -4*d + h + u = 3*h. What is the remainder when d is divided by 9?
6
Suppose -8*k + 4*b = -2840, 6*b - 1775 = -5*k + 4*b. What is the remainder when 12067 is divided by k?
352
Suppose 660 + 2743 = 62*m - 2239. What is the remainder when 2349 is divided by m?
74
Let g(y) = -y + 72. Let j be g(16). Suppose -61*f + j = -53*f. What is the remainder when 18 is divided by f?
4
Let x = -10 - -12. Let f(p) = p**3 - 8*p**2 - 49*p + 48. Calculate the remainder when f(12) is divided by x.
0
Suppose 4*f + 4*k = 22 + 18, -2*f + 2*k = -16. Let t be (-8 + (-2 - -5))*448/(-35). Calculate the remainder when (5 + t)*(-2)/(-6) is divided by f.
5
Suppose 3*x + 59 = 4*m, 0*m = x + 5*m + 45. Let y(b) = -2*b**2 - 44*b + 185. Calculate the remainder when 120 is divided by y(x).
15
Let a(q) = 62*q**3 + 2*q**2 + 8*q + 3. Let s(r) = 62*r**3 + 2*r**2 + 6*r + 2. Let w(h) = 3*a(h) - 4*s(h). Calculate the remainder when w(-1) is divided by 31.
30
Suppose -3*b + 21 = -0, -5254 = -4*n + 2*b. Calculate the remainder when n is divided by 132.
129
Suppose 204950 = 66*b - 63868. Calculate the remainder when b is divided by 97.
96
Suppose a = 5*f + 152, 5*f = -104*a + 102*a + 259. Calculate the remainder when a is divided by 34.
1
Let r = 2 + 1. Let u = 13 - 9. Suppose 6*q + t - 28 = u*q, 5*t + r = q. Calculate the remainder when 25 is divided by q.
12
Let q be 17 - -2*(4 + -6). Let x(d) = -2*d**3 - q - 5*d**3 + 4*d**3 + 17*d**2 - 10*d + 2*d**3. What is the remainder when x(16) is divided by 28?
27
Suppose 9*p - 20 = 16. Suppose 3*s - 3*v = -6*v + 33, -p*s = -3*v - 58. Calculate the remainder when 21 is divided by s.
8
Suppose -78 = -3*y - 690*p + 693*p, 2*y + 4 = -5*p. Let s = 0 + 9. What is the remainder when y is divided by s?
0
Suppose 5*u + 2*z - 282 = -6, 2*u = -3*z + 106. Let x = u + -26. What is the remainder when 118 is divided by x?
28
Suppose -6*z - 28