 What is the remainder when x is divided by 21?
18
Let f(w) = 2*w**3 - 10*w**2 + 15*w - 12. Suppose 5*g + 3*r - 28 = 0, -4*r + 6*r - 2 = 0. What is the remainder when f(g) is divided by 36?
27
What is the remainder when (-50)/425 + (4 - (-18942)/34) is divided by 82?
69
Calculate the remainder when 11 + -6 - (13 - 237) is divided by 11.
9
Suppose -1383 = -3*n + 5*r + 419, 4*n - 2418 = -r. Calculate the remainder when n/16 - -2 - (-2)/8 is divided by 14.
12
Let g = 942 + -748. Let w(o) = -o**2 - 15*o + 10. Let j be w(-16). Let x(l) = -8*l - 9. Calculate the remainder when g is divided by x(j).
38
Suppose 19*t - 292989 = -104*t - 4*t. What is the remainder when t is divided by 28?
11
Suppose q + 16 = 47. Let f(o) = 8*o + 10. Suppose 0 = -6*g - 2 + 86. Calculate the remainder when f(g) is divided by q.
29
Let f = -32 + -16. Let a be f/(-32)*(43 + -1). Suppose 15 = -6*w + a. What is the remainder when 11 is divided by w?
3
Suppose 491*w - 130645 = 226*w. Calculate the remainder when w is divided by 35.
3
Let a = 30 - 5. Let t = 1878 - 1865. What is the remainder when a is divided by t?
12
Suppose 2*l = 4*l + 6. What is the remainder when 168/(-21) + 27 - 12 is divided by (1/l)/((-2)/12)?
1
Let l = 185 - 325. Let g = l - -147. Calculate the remainder when 67 is divided by g.
4
Let i(u) = -u**2 - 7*u - 12. Let j be i(-4). Suppose 5*l + 4*l - 540 = j. Let d = 62 - l. Calculate the remainder when 7 is divided by d.
1
Let j(h) = 26*h**3 + 157*h**2 + 7*h + 37. What is the remainder when 11499 is divided by j(-6)?
29
Suppose 3 = 5*p - 6*p. Let b(m) = m**2 - 8*m - 23. Let a be b(p). Suppose a*n = -n + 660. Calculate the remainder when n is divided by 21.
18
Let j = -11 + 29. Suppose 0 = j*l - 1814 + 482. Calculate the remainder when l is divided by 19*(-3 - 12/(-3)).
17
Let n = 461 - 446. Suppose -8*h + 3*h = -n. What is the remainder when 54 is divided by h?
0
Let q(t) = t**3 + 16*t**2 - 40*t - 32. Calculate the remainder when 63 is divided by q(-18).
23
Let g(t) = -4*t - 27. Let f be g(-9). Let n = 3 + 12. Calculate the remainder when (-2)/f + 2/36*1030 is divided by n.
12
Suppose 126 = 1186*n - 1179*n. What is the remainder when n is divided by 7?
4
Let s(d) = -d**3 + 9*d**2 - 9*d - 10. Suppose -v + 5*q = -263, -14*q + 9*q + 927 = 4*v. Calculate the remainder when v is divided by s(7).
13
Let a(c) = -5*c - 66. Let g(j) = -15*j**2 + 2*j + 2. Let d be g(-1). Calculate the remainder when a(d) is divided by 7.
2
Suppose -32*f + 37*f + 210 = b, 2*f = -4*b + 884. Calculate the remainder when b is divided by 79.
62
What is the remainder when 7559 is divided by 3/(((-5)/2)/(-5) - (16 - 16))?
5
Let w(d) = 22*d - 16 - 11*d - 22*d. Let q be w(-2). Suppose 3*y - q - 3 = 0. What is the remainder when 17 is divided by y?
2
Let a(j) = j**2 - 7*j + 22. Suppose -268 - 80 = -4*m. What is the remainder when m is divided by a(7)?
21
Let q(n) = 5*n + 476 - 503 + 5*n. Calculate the remainder when q(7) is divided by 12.
7
Suppose -3075 = -17*r + r + 3917. What is the remainder when r is divided by 75?
62
Let b(h) = 2*h - 3*h + 60*h**2 + 5*h**2 + 0*h. Calculate the remainder when b(-1) is divided by 28.
10
Suppose 4778 = -5*i + 5808. Calculate the remainder when i is divided by 143.
63
Let r = 160 - 157. Suppose f + r*o - 12 = 0, -f - 2*o + 18 = 6. Calculate the remainder when 359 is divided by f.
11
Suppose -8*r + 40 = 0, 2545 = -6*q + 11*q + 4*r. Calculate the remainder when q is divided by 142.
79
Let a = 287 - 170. Let y(w) = w**2 - w + 1. Let k(o) = -34*o**2 - 17*o + 16. Let j(v) = -k(v) + 5*y(v). What is the remainder when a is divided by j(1)?
37
Let b(o) = -4*o**3 + o**2 + 2*o - 2. Let j = -8 + 5. What is the remainder when b(j) is divided by (2*(-1)/9)/((-1244)/156744)?
25
Suppose 3*b - 18*b + 525 = 0. Suppose 37*i - 162 = b*i. Calculate the remainder when i is divided by 32.
17
Let s = 7150 - 7034. What is the remainder when 187 is divided by s?
71
Suppose -5*z - 350 = 4*p + p, -3*z - 209 = 4*p. Calculate the remainder when 1 - (z - (-1 - -5)) is divided by -1 + 2 + 0 + 25.
24
Let l(d) = 17*d + 7. Let f be l(-3). Let k = 148 + f. Suppose 22 = -5*o + 127. Calculate the remainder when k is divided by o.
20
Suppose 3*x + 1364 = -5*v - 3069, 3*v = 5*x + 7411. Let f = -842 - x. Suppose -f = -7*z + 12. Calculate the remainder when z is divided by 24.
21
Let c = 32 - 26. Let r be (4/c)/(4/(-306)). Let g = r + 68. Calculate the remainder when 64 is divided by g.
13
Suppose 0 = 2*s - 204 + 108. What is the remainder when 3/((-12)/(-560)*1) is divided by s?
44
Suppose 704 + 857 = 24*o + 1. Calculate the remainder when 970 is divided by o.
60
Suppose -5*q + 58 = 2*b, -6*b = q - 2*b - 8. Suppose -16*a = 185 - 796 - 285. What is the remainder when a is divided by q?
8
Suppose 4*o - 2*h = 6, 3*h + 14 = 5. Suppose -4*d + 6*d - 292 = o. What is the remainder when d is divided by 42?
20
Let p(b) = 217*b - 10883. What is the remainder when 424 is divided by p(51)?
56
Let g = -21 - -26. Suppose g*f - 3*y = 1734, -3*f - 2*y = 3*y - 1054. What is the remainder when f is divided by 35?
33
Suppose 0 = r - 102 - 18. Suppose -93*i - 103*i + 2852 = -104*i. Calculate the remainder when r is divided by i.
27
Let i(t) = -t**2 - 3*t - 33. Let x be i(-4). Let m = -29 - x. What is the remainder when 44 is divided by m?
4
Let x be 3/(-9) + (-13)/(-3). Suppose 7*v = 6*v + 16. Suppose 3*r = -r + v, 5*r = -x*g + 144. Calculate the remainder when 153 is divided by g.
29
Suppose -4*l = 90 - 334. What is the remainder when (-105212)/(-348) + (4/16)/((-3)/4) is divided by l?
58
Suppose 0 = 11*f + 6092 + 35. Let n = 816 + f. What is the remainder when n is divided by 12?
7
Let o = 1468 - 1464. Suppose 5*b = o*c - 89 - 31, -4*b + 16 = 0. Let h = 43 + -24. Calculate the remainder when c is divided by h.
16
Suppose -8 = -b - 3*p, 0 = -4*b - 2*p - 0*p + 2. Let w = b - -3. Calculate the remainder when w is divided by 3/(-12)*((-30)/30 + -3).
0
Suppose 3*v = -5*g - 70 + 584, -4*v + 676 = 2*g. Suppose -5*d - n = v - 687, -n = 1. What is the remainder when d is divided by 27?
23
Let h(j) = j**3 + 11*j**2 + 14*j - 13. Let i(g) = -g**2 + 14*g - 33. Let c be i(12). What is the remainder when h(c) is divided by 5?
3
Suppose -2*j + 25*b + 65 = 12*b, 0 = -3*b + 15. Calculate the remainder when 258 is divided by j.
63
Let m(b) = -b**3 + b**2 + 2*b - 9. Let h be m(5). Let x = -96 - h. Suppose 3*p - 98 = p - 2*z, x*p = z + 151. Calculate the remainder when p is divided by 18.
14
Suppose 4*v + 3*b = 2*b - 962, -474 = 2*v - 3*b. What is the remainder when 478 is divided by (44/110)/((-2)/v)?
46
Let r(v) = 135*v + 2808. What is the remainder when r(-10) is divided by 11?
6
Suppose -711 = -20*k - 7271. Let i = 355 + k. What is the remainder when 186 is divided by i?
24
Let r be (-948)/(-15) + 3/(-15). Suppose -3*q + 6*q = -r. What is the remainder when 13*-3*q/21 is divided by 15?
9
Let k = -2042 - -2356. Calculate the remainder when k is divided by 160.
154
Suppose -y - 28 = -106. Let b = 398 + -358. Suppose b*w = 19*w + 840. What is the remainder when y is divided by w?
38
Let h be -1*((-3)/(-2))/((-27)/1116). Let r = 103 + h. What is the remainder when r is divided by 7?
4
Let s(x) = -x**2 + 4*x - 2. Let p be s(1). Let i(g) = g + 10 + p + 3 + 6. Calculate the remainder when i(11) is divided by 17.
14
Suppose -86 = -3*d - 2. Let j(t) = t**3 + 8*t**2 + 10*t - 9. Let o be j(-6). Calculate the remainder when (o - 4)*30/(-5)*9 is divided by d.
26
Let v = 15642 - 15455. Calculate the remainder when 351 is divided by v.
164
Suppose 0*b = 3*b - 243. Let c = 1022118 + -1021880. What is the remainder when c is divided by b?
76
Suppose -4*o = 3*b + b - 12, -2 = 2*o. Suppose 2*v + 8 = 0, 4*l - 5*v + 29 + 227 = 0. Let i = -56 - l. Calculate the remainder when i is divided by b.
1
Let z = -3763 + 3789. Calculate the remainder when 357 is divided by z.
19
Let m(g) = -72*g**3 - 6*g**2 - 20*g - 45. Calculate the remainder when m(-3) is divided by 474.
9
Let y(t) = 3*t**3 - 39*t**2 - 41*t + 54. Calculate the remainder when ((-452)/10)/((-1)/15) is divided by y(14).
66
What is the remainder when 929 is divided by (-43)/((-645)/3330) + 7?
13
Let d(q) be the second derivative of -q**5/20 + 19*q**4/12 + 2*q**3 - 33*q**2 - 7*q - 5. Calculate