he remainder when 276 is divided by y?
16
Suppose 0 = -291*c + 289*c + 1070. Suppose 10*w - c = -195. What is the remainder when w is divided by 9?
7
Suppose -2*j = -10*j + 32. Suppose -2*r + j*m - m = -111, -r + 2*m + 58 = 0. Let x = -19 + 36. What is the remainder when r is divided by x?
14
Suppose -479 = -y + 4*h, 679*y - 677*y = 5*h + 958. What is the remainder when y is divided by 86?
49
Let l(u) = -u**3 + 2*u**2 - 17*u - 33. Calculate the remainder when 397 is divided by l(-2).
6
Let s be (0 + 0)/3 + (-4 - -8). Suppose 0 = 5*i - t - 30, s*i = -4*t + 4 + 20. What is the remainder when 76 is divided by i?
4
Let a = 6146 - 5988. What is the remainder when a is divided by 37?
10
Suppose 4*n - 12 = 0, n + 189 + 750 = 3*h. Suppose h = 14*x - 246. What is the remainder when x is divided by 21?
19
Calculate the remainder when 3021 is divided by 4102/38 + 154/2926.
105
Let h(y) = 3*y**2 + 16*y + 24. Let g = -413 + 408. What is the remainder when 265 is divided by h(g)?
18
What is the remainder when -170*((-440)/88 - (-23)/5) is divided by 26?
16
What is the remainder when (-5)/40 + (-1 - (-113925)/40) is divided by 11?
9
Calculate the remainder when (12717/110214)/(2/572) is divided by 22/2 + 0 + -1.
3
Suppose 93*i = 8*i + 9*i + 5776. Calculate the remainder when 370 is divided by i.
66
Suppose 2*c + 1832 = 2*p, 61*c = 64*c - 3. Calculate the remainder when p is divided by 21.
14
Suppose 36 = l - 63. Let y = l + -268. Let c = y + 248. What is the remainder when c is divided by 41?
38
Suppose g = 2, -7*w + 5*g = -5*w + 10. Suppose 2*j - 5*r - 35 = w, 5*r + 13 + 7 = j. Calculate the remainder when 55 is divided by j.
10
Suppose -2*w + 17 = -s, 4*w - 5*s - 22 = 3. Suppose 8*v = -w*v + 396. What is the remainder when v is divided by 13?
9
Let x be (1 + 2)/((-7)/21). Let i = -1630 - -1708. What is the remainder when i is divided by ((-30)/x)/((-3)/(-18))?
18
Let f = -32 - -144. Suppose 0 = 41*o + 10660 + 27552. Let y = 951 + o. Calculate the remainder when f is divided by y.
17
Let c be -5 - (250 - (5 - 2)). Calculate the remainder when 130 is divided by (1/(-3))/(((-28)/(-4))/c).
10
Suppose 0 = -0*c + 2*c - 24. Let r(f) = 29*f - 13 + 4 - 1 - 7. Calculate the remainder when r(3) is divided by c.
10
Let v(n) = 21*n**2 - 466*n + 466. Calculate the remainder when 308 is divided by v(1).
14
Suppose -16*o = 16 - 64. Suppose 3*f - 68 = -4*l, -80*l + 85 = 5*f - 79*l. What is the remainder when f is divided by o?
1
Let n(w) = -4*w**2 - 91*w + 29. What is the remainder when (26/4)/(3/30) is divided by n(-23)?
5
Suppose -9*t = -15*t + 624. Suppose 100*n + 572 = t*n. What is the remainder when n is divided by 51?
41
Suppose -12*g + 981 + 1431 = 0. What is the remainder when 767 is divided by g?
164
Suppose 5*n - 3 = -j, 5*n - 2*j + 12 = 2*j. Suppose 2*z - 30 = -2*z - 2*y, n = -2*y + 2. Suppose 324 = -f + z*f. What is the remainder when f is divided by 14?
12
Calculate the remainder when 81 + (-16)/(-6)*(-2 - 3/(-6)) is divided by 39.
38
Suppose 8*w - 6*w - 4 = 0. Let r be w/8 - (-217)/28. What is the remainder when 8 is divided by -1 + (-2)/(4 - 34/r)?
1
Let q = -272 + 637. Let k = 395 - q. What is the remainder when k is divided by 12?
6
Suppose 0 = 31*z - 24*z - 1435. Suppose 0 = -h + 3*p + 60, -2*p + z = 3*h - 6*p. Let v = 31 + -18. Calculate the remainder when h is divided by v.
10
Let t(j) = j**3 + 30*j**2 + 9*j - 524. What is the remainder when t(-28) is divided by 73?
62
Suppose -37*w + 2915 + 2228 = 0. What is the remainder when 1552 is divided by w?
23
Let g(o) = o**3 - 45*o**2 + 50*o - 222. What is the remainder when 116 is divided by g(44)?
32
Let j(t) = 6*t**2 + 45*t + 24. Let f be j(-11). Let v = f + -189. What is the remainder when v is divided by 19?
9
Let u be (-2)/(-1 + 4 + 153/(-45)). Suppose 0 = -u*g + 9*g + 8. What is the remainder when ((-231)/(-14))/(g/(-4)) is divided by 9?
6
Suppose -2*w + 5*w + 15 = 0, -5*n - 4*w = 35. Let a be (-1 + 5 - 1) + n - 70. What is the remainder when (1 - -13)*(-60)/a is divided by 5?
2
Let r be ((-4)/3)/((-204)/153). What is the remainder when (-5 - (-44040)/64) + r/(-8) is divided by 7?
4
Suppose 0 = -4*q - 20, 136*q = 3*h + 140*q - 469. What is the remainder when h is divided by 106?
57
Let s = -902 - -608. Let n = -284 - s. Calculate the remainder when 11 is divided by n.
1
Let h(y) = -4*y**3 - y**2. Let o be h(-1). Let i be o/3*2*1. Suppose q = -w + 5, -2*w - i*q - 14 = -3*w. What is the remainder when 31 is divided by w?
7
Suppose 1042 - 82 = 40*c. Calculate the remainder when 66 is divided by c.
18
Let g be 19 + -15 - 3*1. Let w = 4 + g. What is the remainder when w/(-2)*(-1 - 29) is divided by 10?
5
Let o = 9924 - 7280. Calculate the remainder when o is divided by 50.
44
Suppose 387 = 5*z + 2*p, 4*z = -2*p + 254 + 58. What is the remainder when 372 is divided by z?
72
Suppose 1436509 + 389587 = 488*w. What is the remainder when 3754 is divided by w?
12
Let g = 25962 - 23575. Calculate the remainder when g is divided by 47.
37
Suppose 0 = -5*s + 256 + 214. Let w be (6 - 4)/1 + -2. Suppose 4*q = 2*k - 11 - 29, w = -3*q - 12. What is the remainder when s is divided by k?
10
Calculate the remainder when ((-165)/(-44))/(20/720) is divided by 72.
63
Let i = 155 + -41. Let z = 1396 - 1373. Calculate the remainder when i is divided by z.
22
Suppose -2*y - 7*g = -2*g - 8, -4*y + 16 = 2*g. Calculate the remainder when 54 is divided by y/14 + (-38)/(-14).
0
Let f be (-8 - 0)*(-9)/4. Let x = f + -18. Calculate the remainder when 3 is divided by 2 - x - (8 - 9).
0
Let t = -708 - -417. Let k = -77 - t. What is the remainder when k is divided by 12?
10
Let v = 4649 + -4593. What is the remainder when 768 is divided by v?
40
Let d be (-3)/(((-18)/4)/9). Suppose -4*r = -d - 6. Suppose -2*k = -2, r*w + 2*k = w + 56. Calculate the remainder when w is divided by 7.
6
Suppose 9*b - 12*b = -333. Suppose 2*m - 182 = -2*j, j + b = m + 6*j. Let f = m - 8. Calculate the remainder when f is divided by 20.
18
Let h(b) = -3*b + 31. Let z be h(9). Suppose -j = -3*s + 10, 0*s - 8 = -z*s + 4*j. Calculate the remainder when 57 is divided by 2 + 11 - (s - 3).
9
Calculate the remainder when 299 is divided by (-52)/(((-58)/(-4))/(-29)).
91
Suppose -3*y = -6*z - 894, 6*y - 75*z - 1851 = -72*z. Calculate the remainder when y is divided by 15.
12
Let s(n) = 21*n - 1508. Calculate the remainder when 228 is divided by s(74).
44
Suppose -3*l = 3*k + 1998, 5*l - l = -20. Let g = 762 + k. What is the remainder when g is divided by 26?
23
Let m(c) = 1. Let k(x) = -16*x + 3. Let v(a) = k(a) - 2*m(a). Let d be v(1). Let s = -11 - d. What is the remainder when 5 is divided by s?
1
Let y = 5002 - 4963. What is the remainder when y is divided by 36?
3
What is the remainder when 208 is divided by (2/22)/((-67)/(-8107))?
10
Let u be (2*(-1)/4)/((-3)/102). Suppose -r - u + 14 = 0. Calculate the remainder when (r - -1) + 4 + 130/2 is divided by 18.
13
What is the remainder when 137 is divided by 1/(-9) - (-32333)/1341?
17
Let x = -9 - -16. Suppose 96*v = 8021 - 4086 + 8737. Calculate the remainder when v is divided by x.
6
Suppose 0 = -5*k + 55, k = 2*j + 422 - 479. Suppose -4*x = -w - 265, 267 = 4*x - 0*x - 3*w. What is the remainder when x is divided by j?
32
Let h(v) = 100*v - 110. Let c be h(5). Let s = c + -354. What is the remainder when 66 is divided by s?
30
Let w = 21468 - 21401. Calculate the remainder when 10584 is divided by w.
65
Let d = -210 + 331. Let r(y) = 2*y - 1. Let a be r(5). Suppose a*x + x = 310. What is the remainder when d is divided by x?
28
Let x(y) = -8*y + 549. Suppose -4*i - 4*i + 96 = 0. Calculate the remainder when x(60) is divided by i.
9
Suppose -231 = 20*a - 491. Calculate the remainder when 895 is divided by a.
11
Let q(y) = y**2 + 19*y - 43. Suppose -4*u - 69 = -u. Calculate the remainder when 100 is divided by q(u).
2
Suppose -2*h = 3*g, 2*h - 7 - 3 = 2*g. Suppose 3*a + h*x + x - 33 = 0, 4*a + 2*x = 34. What is the remainder when a is divided by -4 - 36/(0 - 6)?
1
Let t = 313 + -436. Let i = 0 - t. What is the remainder when i is divided by 62?
61
Let g(a) be the first derivative of 17*a + 2*a**2 + 3*a - 3*a**2 + 16. What is the remainder when g(0) is divided by 11?
9
Suppose -12*t = -9*t - 75. Suppose 2*a - a = 4