
Suppose -2343 = -12*g + 36*g - 27*g. Calculate the remainder when 816 is divided by g.
35
Suppose 16*l + 5*g = 11*l + 90, 102 = 5*l + 2*g. What is the remainder when 605 is divided by l?
11
Suppose -2*d + 57 = 4*b - 197, -2*b = 5*d - 115. Suppose -45*w = -50*w + b. What is the remainder when 77 is divided by w?
12
Let s = 33 - 149. Let b = -89 - s. What is the remainder when 47 is divided by b?
20
Let o = 350 + -412. What is the remainder when 370 is divided by ((-8)/(16/o))/1?
29
Let d = -468 + 470. Suppose -220 = -d*r - 4*z, z = 35*r - 32*r - 358. Calculate the remainder when r is divided by 24.
22
Calculate the remainder when (-33)/22*1*(-9)/(9/1240) is divided by 307.
18
Let g be (-204)/(-9) + (-10)/(-45)*-3. Suppose -58 = -9*j - g. Suppose -77 = -2*a + 5*y, -2*a + 2*y = 3*y - 47. Calculate the remainder when a is divided by j.
2
Let l(j) = 4*j**3 - 143*j**2 + 49*j + 59. What is the remainder when l(36) is divided by 130?
129
Suppose 3*u - 4*j - 11 = 54, -3*u + 5*j + 58 = 0. What is the remainder when 1220 is divided by u?
11
What is the remainder when 513 is divided by 55 - 64 - (-3 + 4/2) - -152?
81
Let w(l) = -2*l**2 - 83*l + 572. Let x(f) = f**3 - 2*f**2 + 1. What is the remainder when w(6) is divided by x(2)?
0
Suppose 3*o = -4*w + 773, 10*w - o - 990 = 5*w. What is the remainder when w is divided by 100?
97
Let f(b) = -b**3 + b**2 + b + 47. Let a be -15*(2/42 + 20/70). Let q(d) = d**3 + 4*d**2 - 9*d - 8. What is the remainder when f(0) is divided by q(a)?
11
Suppose 110 = 46*t - 44*t - 5*r, -3*t + 165 = -5*r. Calculate the remainder when 592 is divided by t.
42
Suppose -d - 210 = -2*y, 2*y + 228*d - 216 = 232*d. Calculate the remainder when 3948 is divided by y.
100
Let f(h) = 21*h**3 - 7*h**2 - 9*h + 68. Let l be f(4). Calculate the remainder when (2 - -1)/(48/l) is divided by 22.
13
Let y = -271 + 415. Suppose 27 = a - 2*h, -5*a - 5*h - 39 = -y. What is the remainder when 108 is divided by a?
16
Let m be 576/(-27) + (-4)/6. Let t(u) = -48*u - 123. Let v(d) = -7*d - 17. Let y(w) = 4*t(w) - 27*v(w). What is the remainder when y(m) is divided by 18?
15
Let f = -7597 + 7648. What is the remainder when 757 is divided by f?
43
Let u(f) = -f**3 - 13*f**2 + 46*f - 28. Let w be u(-16). Suppose -w*y - 62 = -4*l + y, -l - 2*y = -22. Calculate the remainder when 116 is divided by l.
8
Let j = -18478 + 18487. Suppose 48 + 60 = 4*k. What is the remainder when k is divided by j?
0
Let u(n) = -52*n + 160. Let v be u(3). Suppose r = -4*c + 193, v*r = c + 347 + 408. Calculate the remainder when r is divided by 45.
9
Suppose -5*a + 91 = 126, -5*a - 371 = -3*r. Calculate the remainder when 5037 is divided by r.
109
Let y(j) = 29*j - 58. Let a be y(2). Suppose a = 11*o - 6*o - 120. What is the remainder when 358 is divided by o?
22
Let l = -883 + 366. Let s = -497 - l. What is the remainder when s is divided by 13?
7
Suppose -f - 109 = -9. Let t(o) = 36*o - 525. Let v be t(16). Let h = v - f. What is the remainder when h is divided by 17?
15
Suppose 30 = 6*f - 4*f. Let s = -169 + 210. Let m = s - 36. What is the remainder when f is divided by m?
0
Let d(n) = -n**3 + 15*n**2 - 18*n - 18. Let t be d(13). Let r = 181 - t. What is the remainder when r is divided by -1 + (-28)/(-20) - 196/(-10)?
15
Suppose 14*y = 1728 + 1380. What is the remainder when y is divided by 105?
12
Let a = -174 + 184. Let c(g) = 66*g**2 - g. Calculate the remainder when c(1) is divided by (4420/(-104))/(a/(-8)).
31
Suppose 199*l + 9 = 202*l. Suppose 0 = -q - l*k + 25, 0 = -2*q - 3*k - 6 + 50. What is the remainder when q is divided by 9?
1
Suppose 2*i = 3*i + 5, 2*i = 4*q - 854. Let j = -194 + q. Calculate the remainder when 26 is divided by j.
9
Suppose -9*r + 24*r = -90. Suppose -3*k + 4*k - 87 = 0. What is the remainder when k is divided by 1100/22 + (r - 0)?
43
Let h(f) = f**3 - 4*f**2 - 4*f - 2. Let b be h(5). What is the remainder when b*(-244)/(-6)*1 is divided by 1 + (1 + 32 - (1 + 2))?
29
Let l(r) = -r**3 - 9*r**2 - 14*r + 6. Let v be l(-7). Suppose 0 = -16*g + v*g + 3090. Calculate the remainder when g is divided by 26.
23
Calculate the remainder when (-6 + 30)/((-14)/(-63)) is divided by 38.
32
Suppose 0*l = -5*l + 80. Let v = 38 - l. Let x = v - 7. Calculate the remainder when 28 is divided by x.
13
Let n = -5413 - -5477. What is the remainder when 3837 is divided by n?
61
What is the remainder when 771 is divided by (17 + -12)*((-7791)/35)/(-7)?
135
What is the remainder when (1705/620)/(3/588) is divided by 133?
7
Suppose -5*h = -0*g + 4*g - 121, -2*g = -5*h + 97. Suppose h*l = 1169 - 161. Calculate the remainder when l is divided by 6.
0
Suppose -2*r - 170 = -v + 42, -r - 626 = -3*v. What is the remainder when v is divided by 2?
0
Suppose 0 = 10*c - 5361 - 14049. Let w = c + -1293. Calculate the remainder when w is divided by 50.
48
Let r = -2 + 24. Let h = -587 + 596. What is the remainder when r is divided by h?
4
Suppose 66*d = 5018 + 1186. Calculate the remainder when 274 is divided by d.
86
Suppose 2*p = -5*o - 101 + 340, p - 3*o = 92. Suppose 5 = -7*q + 12. Calculate the remainder when p is divided by 28/(60/24*q/5).
51
Suppose 106*w - 12856 = -72*w + 10106. Calculate the remainder when 401 is divided by w.
14
Let g(p) = -p**2 - 80*p + 17. What is the remainder when g(-78) is divided by 97?
76
Let h = -121 - -174. Suppose 4*b - 9*b = -l + 53, 3*l = b + 89. Calculate the remainder when h is divided by l.
25
Let g be (50/(-125))/(1/(-1780)*2). Calculate the remainder when 135 is divided by g/10 - 21/35.
30
Suppose -437*g = -436*g + 4*a - 10681, 4*g + 5*a - 42702 = 0. What is the remainder when g is divided by 9?
8
Let y(r) = -r**3 - 5*r**2 + 56*r + 489. Calculate the remainder when y(-7) is divided by 55.
30
Let z(g) = 175*g**2 + 193*g + 5. What is the remainder when z(-3) is divided by 23?
12
Let r = 468 + -454. What is the remainder when 163 is divided by r?
9
Let r = -110 + 199. Let i = -51 + 74. What is the remainder when r is divided by i?
20
Let k(r) be the second derivative of 22*r + 29/2*r**2 + 0 + 1/3*r**3. Calculate the remainder when k(0) is divided by 8.
5
Let j = 599 + 459. Calculate the remainder when j is divided by 47.
24
Suppose -3*o + 6 = 5*t, -9*t - 15 = -10*t + 4*o. Suppose 0 = x + 2*k - 271, -t*x + 4*k + 689 = -164. What is the remainder when x is divided by 70?
69
Let f(z) = z + 29 - 10 - 12. Let o be f(-7). Suppose o*i = -i + 13. Calculate the remainder when i is divided by 7.
6
Let w = 220 - 94. Let a = 184 - w. Calculate the remainder when a is divided by 23.
12
Suppose -163*t = -15396 + 3660. What is the remainder when 841 is divided by t?
49
Let w = 907 + -785. What is the remainder when w is divided by 70?
52
Let s(z) = z**2 - 8*z - 20. Let n be s(10). Suppose n*v = 16*v - 64. What is the remainder when 54 is divided by 2/v*(-6 + 0 + 34)?
12
Let m(n) = -n**2 + 7*n + 13. Let c be m(9). Let l(d) = -7*d + 6. Let p(i) = i + 38. What is the remainder when l(c) is divided by p(-32)?
5
Suppose 18*r - 104 = 382. What is the remainder when 885 is divided by r?
21
Let j(q) = -36*q - 6. Let n be j(0). Let s(g) = 3*g**2 + 11*g - 24. Calculate the remainder when s(n) is divided by 12.
6
Let g(m) = -m**2 - 118*m - 272. What is the remainder when 38270 is divided by g(-114)?
182
Let x(m) = 15 + 3*m - m + m - 5*m. Let g = 91 - -31. Calculate the remainder when g is divided by x(-8).
29
Suppose 2*c = 6*c - 40. Let u(n) = 2*n - 4. Let q(a) = 40*a - 314. Let l(g) = q(g) - 3*u(g). What is the remainder when c is divided by l(9)?
2
Let x = -49 + 81. Suppose -2*q + 9*q = 2226. Suppose 0 = 2*n - 0*n - q. Calculate the remainder when n is divided by x.
31
Let s(p) = 148*p**3 + 94*p**2 - 374*p + 38. What is the remainder when s(4) is divided by 57?
56
Suppose -b = 21*p - 25*p + 457, 4*b = 3*p - 346. What is the remainder when 148 is divided by p?
34
Suppose 176 = 33*z + 12*z - 4. Calculate the remainder when 81 is divided by z.
1
Suppose -264*x + 267*x = -9, 822 = 5*f + x. What is the remainder when 536 is divided by f?
41
Let q(i) = i**2 - 6*i - 4. Let c be q(4). Let x(b) = 27 + 3*b**2 - 5*b**2 + 694*b + 5*b**2 - 663*b. What is the remainder when x(c) is divided by 18?
15
Let j(o) = o**3 - 6*o**2 - 8*o + 5. Let t be j(7). Let x be (-55 + t/(-1))*-1. L