*3. What is the remainder when k(-7) is divided by 12?
9
Let l = 611 - 476. Suppose -3*a + 4*m + l = -122, 2*m = -4. Calculate the remainder when 579 is divided by a.
81
Let j(q) = q**3 - 20*q**2 - 104*q - 193. What is the remainder when j(25) is divided by 70?
52
Let x(l) = -13*l**3 + l**2 + 3*l + 1. Suppose -3*d = -2*u - 75, -d + 21*u + 45 = 17*u. What is the remainder when x(-2) is divided by d?
19
Let u = -1 - -7. Suppose 13 = t - u. Let m(w) = 99*w - 188. Calculate the remainder when t is divided by m(2).
9
Suppose 10*d - 6*d = -m + 629, -3*m - 4*d + 1855 = 0. Calculate the remainder when m is divided by 293.
27
Let o = 28 - 23. Suppose -567 = 72*f - 79*f. Calculate the remainder when f is divided by o.
1
Let q be ((-1)/(-3))/((-3)/(-153)). Let z be (((-18)/15)/(-3))/((-3)/15). Let b = q + z. What is the remainder when b is divided by 8?
7
Suppose -22*b + 49973 - 11737 = 0. Calculate the remainder when b is divided by 24.
10
Suppose 7*s + 180 = 5*f + 9*s, 4*f = 3*s + 144. Calculate the remainder when 122 is divided by f.
14
Let o be 3/48*2 + 12252/32. Suppose -2*r + o + 91 = 0. What is the remainder when r is divided by 34?
33
Suppose 0 = -5*g - 3*g + 40. Suppose 0 = 7*n - g*n - 124. Suppose 3*j + h = 47, 3*h = -2*j - 0*h + 22. What is the remainder when n is divided by j?
11
Let k = -104 + 105. What is the remainder when 14 is divided by (-4 + 5 - k) + 4?
2
Suppose 5*d = 5*t - 87 + 12, 0 = 5*t - 3*d - 65. What is the remainder when t/(-30) + 885/9 is divided by 54?
44
Let x(f) = 232*f - 90. Let o be x(4). Let z = -812 + o. What is the remainder when 125 is divided by z?
21
Calculate the remainder when (0 - 76407/(-39)) + 122/(-793) is divided by 178.
1
Suppose -4*u + 152 = 4*a, 3*u + 2*a = 6 + 103. Suppose -u*l = -21*l - 192. Calculate the remainder when 84 is divided by l.
4
Let k(f) = -f**2 + 27*f + 860. Let o(r) = 34*r**3 + r**2 - r + 1. Calculate the remainder when k(43) is divided by o(1).
32
Let f(y) = y**2 + 6*y - 7. Let x be f(-8). Suppose 4*k + 45 = 3*j, 4*k - k = x. Calculate the remainder when 22 is divided by j.
3
Let f(x) = -94*x + 3. Let i be f(2). Let c(t) = 10*t - 739. Let k be c(46). Let g = i - k. Calculate the remainder when g is divided by 24.
22
Let m(k) = 2*k**2 - 6*k + 5. Let c be m(-5). Let t = -162 + c. Let v = t - -116. Calculate the remainder when 116 is divided by v.
38
Suppose -73 = -i + 5*k, 5*i + 5*k - k - 191 = 0. What is the remainder when 5202 is divided by i?
42
Calculate the remainder when 227 is divided by 1308/18 + (-14)/(-42).
8
Let f be 248 - (-6 - (-4 + -2)). Suppose -11*o + 15*o = f. What is the remainder when o is divided by 21?
20
What is the remainder when 279 is divided by (16 - 86)*(-6)/15?
27
Let j = -416 - -422. Suppose -j*a + z = -3*a - 44, 3*z + 2 = -a. What is the remainder when 48 is divided by a?
9
Let b(m) = 3*m**2 - 52. Let y(i) = i**3 - 10*i**2 - 2. Let d be y(10). Calculate the remainder when b(-6) is divided by d*87/12*-2.
27
Let k be 54/(3 + 3) + -18. Let c(b) = -12*b - 15. What is the remainder when c(k) is divided by 14?
9
Suppose -2*l - w = -195, 0*w - 378 = -4*l + 2*w. Let n = 114 - l. What is the remainder when 70 is divided by n?
16
Let h = -20 - -31. Suppose 3*z - 512 = -4*q, 3*z - 6*z + 137 = q. Suppose -a = 4*n - q, -131 = -2*n - 2*n + a. Calculate the remainder when n is divided by h.
10
Suppose -30*n = 2005 - 5725. Let x = -3 + 2. Let v(a) = -24*a**3 + 1. What is the remainder when n is divided by v(x)?
24
Suppose -656 = -5*s + 2*h, -h = -5*s + 4*h + 650. Suppose 4 = -2*f, 19*i - 21*i + f + s = 0. What is the remainder when i is divided by 18?
11
Suppose 5*r + 47*f = 52*f + 75, 5*f + 15 = 0. Calculate the remainder when 1066 is divided by r.
10
Let u(o) = -o**3 - 2*o**2 + o + 26. Suppose -6*w + 3*w = -g + 970, 5*g = 5. Let j = -194 - w. What is the remainder when j is divided by u(0)?
25
Suppose 3517 = -2*o - 1001. Let c be (o/(-6))/((-3)/(-4)). What is the remainder when 68 is divided by c/22 + (-24)/(-132)?
22
Let c = 55 - 85. What is the remainder when (648/(-30))/(-2 + (-57)/c) is divided by 55?
51
Suppose -5 - 23 = -14*m. Suppose 4*h = 4*r + m - 18, -20 = -4*h. Calculate the remainder when 737 is divided by r.
8
Let v = 170 + -147. Let k be 120/18*(5 - 2). Calculate the remainder when 8/k - 1209/(-15) is divided by v.
12
Let n = 31384 - 31118. What is the remainder when 1445 is divided by n?
115
Suppose 2*r - 2*f = f + 108, 2*f = -5*r + 232. What is the remainder when 124 is divided by r?
28
Suppose 72*p = 918 + 1962. Calculate the remainder when 3478 is divided by p.
38
Let r(q) = 3*q**2 - q + 6. Let u be r(-3). Let v = u - 22. What is the remainder when 136 is divided by v?
10
What is the remainder when 1261 is divided by 63 + 18 + 160/(-10)?
26
Suppose -62*r = -9666 + 3590. Suppose 603 = 2*w + 19. Calculate the remainder when w is divided by r.
96
Let l(i) = -i + 18. Let g be l(15). Suppose -g*h - 36 = -4*h. Suppose 0*v + h = 6*v. Calculate the remainder when 14 is divided by v.
2
Suppose -38*d = 2*b - 42*d - 3018, -d - 6 = 0. What is the remainder when b is divided by 14?
13
Suppose 45 = 17*h - 8*h. Suppose 126 = h*a + 6. Let m(y) = -y**3 + 5*y**2 - 4*y + 3. Calculate the remainder when a is divided by m(3).
6
Let j = 16844 + -16834. Let u(a) = -a**3 + a**2 - 4*a - 3. Let y be u(-3). Let w = y + -27. Calculate the remainder when w is divided by j.
8
Let l(h) = h**2 + 20*h + 2. Let p be l(-20). What is the remainder when 79 is divided by ((-3)/p)/((-3)/32)?
15
Suppose 0 = -l - x + 7, 56 - 17 = 2*l - 3*x. Suppose 5*s + 5*i - 299 + 109 = 0, 152 = 4*s - 2*i. Calculate the remainder when s is divided by l.
2
Let g = 533 + -406. What is the remainder when g is divided by 80?
47
Let d(l) = -79*l + 190. Let m = -44 + 101. What is the remainder when m is divided by d(2)?
25
Let q(h) be the third derivative of -5*h**4/24 + 11*h**3/6 - 10*h**2. Let t be q(0). Calculate the remainder when (-2)/t + (-1156)/(-187) is divided by 3.
0
Calculate the remainder when 182 is divided by 81 + (-4)/3*(-294)/(-49).
36
Suppose 3*i + 17*h - 12*h - 422 = 0, -5*h = 5*i - 680. What is the remainder when 229 is divided by i?
100
Let v = 108 + -102. Suppose -v*s = -142 - 62. Suppose w - 5*l - 2 = 0, 0*w - w - l + 14 = 0. What is the remainder when s is divided by w?
10
Let l = -16818 + 17451. What is the remainder when l is divided by 275?
83
Let u(y) = -769*y + 12. What is the remainder when 1759 is divided by u(0)?
7
Calculate the remainder when 4082 + ((-15)/(-60) - 52/16) is divided by 60.
59
Let q be ((-200)/(-6))/(2/(-6)). Let g = 161 + q. Let r(w) = -37*w**2 + 708*w - 79. What is the remainder when g is divided by r(19)?
13
Suppose -f + 1135 = -5*t, -3*t = -3*f - 0*f + 3465. Suppose 38*r = -2*r + f. What is the remainder when r is divided by 11?
7
Suppose 238*p - 240*p = 5*x - 1039, -2*p = -x + 215. Calculate the remainder when x is divided by 10.
9
Suppose -74*j - 36*j = -11*j - 3861. Let z = 72 + -107. What is the remainder when j is divided by (z/10)/((-1)/2)?
4
Calculate the remainder when 119 is divided by 2*6/((-30)/5)*74/(-4).
8
Suppose 3*t + 11607 = 11*x, 5*t - 7*t = -6. What is the remainder when x is divided by 133?
125
Suppose 26 = -2*y - 28. Suppose -2503 = -6*d - 15*d - 886. Let b = y + d. Calculate the remainder when b is divided by 13.
11
Let c = 2885 + -2472. What is the remainder when c is divided by 106?
95
Suppose 0 = g - 735 - 255. Suppose 5*m - 14*m = -g. What is the remainder when m is divided by 19?
15
Let x = 233 + -217. Suppose 4*l - 1 = 19. Let u(r) = r + 2. Calculate the remainder when x is divided by u(l).
2
Let i = -2 + -2. Suppose o - 21 - 12 = 0. Let a = i + o. What is the remainder when 82 is divided by a?
24
Let i = -63 - -209. Suppose 15*t - 3911 = -3536. What is the remainder when i is divided by t?
21
Let t = -92 + 102. Let f(w) = w + 20. Let m be f(-12). Suppose -5*u + m*u - 18 = 0. What is the remainder when t is divided by u?
4
Let d = 27717 - 27109. What is the remainder when d is divided by 18?
14
Let a(h) = 28*h - 155. What is the remainder when a(9) is divided by 17?
12
Let d(n) = 17 + 18 - 2*n - 92 - 3*n**2 + 6*n + 16 + n**3. What is the remainder when d(8) is divided by 39?
38
Let l(j) = 2*j**2 + 22*j - 47. Let y be l(2). Suppose -5*c