.
2
Suppose 28*l + 4 = 32*l. Calculate the remainder when 22 is divided by 18/18 - (l + (-7 - 1)).
6
Let a = 252 + -102. Calculate the remainder when a is divided by 44.
18
Suppose -221 = -3*s + 172. What is the remainder when s is divided by ((5 - 3) + -3)/((2/15)/(-2))?
11
Suppose -12*f - 440 = -86*f + 1558. What is the remainder when 228 is divided by f?
12
Let x = -2759 - -2903. Suppose 4*a = -a + 315. Suppose -z = -a + 26. What is the remainder when x is divided by z?
33
Let o = -90 - -46. Let d = -27 - o. Suppose d*i - 90 = 14*i. What is the remainder when i is divided by 9?
3
Suppose 3476 + 2029 = 5*u. Let f = u - 713. Calculate the remainder when f is divided by 79.
72
Suppose 8*v - 80 - 56 = 0. Suppose v*h + 4*h - 1386 = 0. Calculate the remainder when h is divided by 24.
18
Let m be 2/(-1 - 142/(-140)). Suppose -3*v + v = 2*f - m, 0 = -5*f + 3*v + 382. Calculate the remainder when f is divided by (-6)/(-1 + -1) + 1*16.
17
Let b(i) = 24 - 17 - 2*i - 4 + i. Let h(z) = -z**3 + 3*z**2 + z + 1. Calculate the remainder when h(-3) is divided by b(-15).
16
What is the remainder when 478 is divided by (36 - (4 + 0)) + (-12)/10*5?
10
Let m(p) = p**3 + 63*p**2 - 60*p + 401. Calculate the remainder when 537 is divided by m(-64).
102
Let c = 14938 + -12474. What is the remainder when c is divided by 489?
19
Suppose -t - 2*k = -8 - 2, -5*k = -t + 45. Suppose -8*q + t = -12*q. What is the remainder when q*3/(15/(-227)) is divided by 46?
43
Suppose -18*y + 149 = 4*k - 17*y, -2*k + 43 = -3*y. What is the remainder when 2796 is divided by k?
31
Suppose -10 - 374 = -16*i. Calculate the remainder when 129 is divided by i.
9
Suppose -752*v = -749*v - 42. Let h = -15 + 21. Let q = h + v. What is the remainder when 74 is divided by q?
14
Let b be 4 - (-4 + 5)*7. Calculate the remainder when -5*(-68)/80*(0 + 12) is divided by (1 + b)/((-10)/65).
12
Let v = 335 - 337. What is the remainder when 39 is divided by (v - -3)*12*(-33)/(-12)?
6
Let f = 8 - -3. Suppose 16*d - 55 - 73 = 0. What is the remainder when f is divided by d?
3
Let v = 7438 + -7404. Calculate the remainder when 546 is divided by v.
2
Let r = -387 - -579. Suppose -39*f + 36*f = -r. What is the remainder when f is divided by 23?
18
Let p = -70 - -256. Suppose 2*v + 17*h - 54 = 21*h, -2*h + 36 = 2*v. Calculate the remainder when p is divided by v.
18
Suppose -9*k + k = -64. Let c(o) = o**2 - 8*o + 5. Let y(t) = 10*t**3 - 2*t**2 - 2*t + 3. Calculate the remainder when y(1) is divided by c(k).
4
Let b(j) = -j**3 - 22*j**2 - 7*j + 86. Let k be b(-21). Let x = k + 230. Suppose -10 = -s - 4. What is the remainder when x is divided by s?
4
Suppose 9*m = -2*p + 10*m + 150, -4*m + 84 = p. Calculate the remainder when 256 is divided by p.
28
Let q be (-4)/18*3*159. Let k = 23 - -9. What is the remainder when k is divided by q/(-9) + -1*(-8)/36?
8
Suppose -3*t - 15 = 0, -p + 4*t = 37 + 78. Let n = p - -145. Suppose 3*b - 142 = -b - 2*d, -5*b + 2*d + 182 = 0. What is the remainder when b is divided by n?
6
Suppose 3*h = 2*r + 5*h - 130, -r - 5*h + 81 = 0. Suppose -2*a = -3*m - 543, -m = a - 208 - r. Calculate the remainder when a is divided by 39.
36
Let c(s) = 3*s**2 - 1. Let i = 521 - 426. Calculate the remainder when i is divided by c(4).
1
Suppose 14 = 4*v - 2. Suppose -5*g + 950 = 2*k, k + 571 = 3*g + 2*k. Calculate the remainder when g is divided by v/6 + (-43)/(-3).
12
Suppose -84*z + 76*z + 47*z - 936 = 0. What is the remainder when 1051 is divided by z?
19
Suppose 96*z = 87*z + 10926. Let r = -857 + z. Calculate the remainder when r is divided by 9.
6
Let j = 663 - 454. What is the remainder when j is divided by -262*(-1)/4 + -6 + 39/6?
11
Let m(j) = -106*j**2 - 363*j + 6. What is the remainder when 595 is divided by m(-3)?
31
Suppose 10511*x + 1142 = 10517*x + 62. What is the remainder when x is divided by 10?
0
Let u(g) = 3*g**3 - 135*g**2 + 12*g + 53. What is the remainder when u(45) is divided by 161?
110
Suppose 0*s - 16*s + 640 = 160. What is the remainder when 2126 is divided by s?
26
Let t(i) = i**3 + 20*i**2 - 17*i - 105. Calculate the remainder when 967 is divided by t(-20).
27
Let b = 126 + -118. Suppose -l + 4*v - 2*v - 6 = 0, -4*l - 4*v = 12. Let p = l + b. What is the remainder when 10 is divided by p?
2
Suppose -4*i - 4 = 2*z, -2*z + 2 = -2*i - 0*i. Let s = z - -6. Suppose a = m + 17, 5*a - 49 = 3*m - 7*m. Calculate the remainder when a is divided by s.
1
Let n(b) = -16*b**3 + 6*b**2 - 2*b + 4. Calculate the remainder when n(-3) is divided by 81.
10
Let s(i) = i**3 + 8*i**2 - 415*i - 61. What is the remainder when s(-20) is divided by 14?
9
Let f = -6297 + 7490. What is the remainder when f is divided by 75?
68
Let p = 18409 + -18405. What is the remainder when 2083 is divided by p?
3
Suppose -5*y = -10*y + 15. Suppose 16 = 2*b - y*o, 2*b + 3*o = -3*b + 19. Suppose 19 - 89 = -b*h. Calculate the remainder when 54 is divided by h.
12
Suppose 5*n + 5*p = 55, 5*n - 15 = -8*p + 13*p. Suppose -53 = -n*z + 178. Calculate the remainder when 45 is divided by z.
12
Let f(m) = m**3 - 102*m**2 + 1926*m - 20. Calculate the remainder when 682 is divided by f(77).
55
What is the remainder when (-7 - (-9)/18*10)*-362 is divided by 124?
104
Let m = 62 + -55. Suppose -8*r = -m*r - 10. What is the remainder when r is divided by 8?
2
Calculate the remainder when 291 is divided by 5/(4 - 321/84).
11
Let t be (30/(-90))/(3/882). Let q = t - -107. Calculate the remainder when q is divided by 2.
1
Suppose 516 = -0*k + 43*k. Calculate the remainder when 128 is divided by k.
8
Let k(d) = 13*d**2 - 8*d + 7. What is the remainder when 883 is divided by k(-3)?
143
Suppose -17*g - 86*g = -64169. Calculate the remainder when g is divided by 26.
25
Suppose 319 = 3*c - 4*w, -2*c + 2*w = c - 323. Suppose 4*t + c + 99 = 0. Let l = 91 + t. Calculate the remainder when 154 is divided by l.
37
Suppose 5*h + 70 = 245. What is the remainder when 64 is divided by (-2)/((-10)/h) + 6?
12
Suppose 2*o - 32 + 8 = 0. Suppose -55*m + 53*m = -124. Suppose -m*k = -59*k - 138. Calculate the remainder when k is divided by o.
10
Suppose -5*x + 0 = -30. Let m = -909 - -915. What is the remainder when m is divided by x?
0
What is the remainder when 106295/63 - (-90)/(-405) is divided by 137?
43
Suppose -13*x + 96 = -5*x. Suppose -5*l - x + 37 = 0. Suppose -l*v - 5 = -4*u + 35, -2*u = 4*v - 20. Calculate the remainder when 17 is divided by u.
7
Let m = 8195 + -8155. Calculate the remainder when 478 is divided by m.
38
Let q(o) = -550*o**3 + o - 2. Let c be q(1). Let a = c - -711. Calculate the remainder when a is divided by 23.
22
Let w be (-1)/(-4 + 30/8). Suppose -7 = -w*t - 7. Suppose -5*x + 234 - 59 = t. Calculate the remainder when x is divided by 10.
5
Let n = 13 - -145. Let l = n - 147. Calculate the remainder when 16 is divided by l.
5
Let t = 196 - 171. Suppose -u - t = -119. Suppose -2*c - 3*x = -51, 4*c - 2*x - 72 = 22. What is the remainder when u is divided by c?
22
Let x(a) = 90*a - 282. What is the remainder when 1164 is divided by x(4)?
72
Let f(h) be the third derivative of h**5/60 - 7*h**4/24 - 19*h**3/6 - h**2. Suppose 4 = 24*t - 236. Calculate the remainder when 29 is divided by f(t).
7
Let r(w) = 14*w + 14. Let l be r(-16). Calculate the remainder when 67 is divided by l/(-9) - (-5)/3.
17
Let f = -173 + 245. Let o = 104 - f. Suppose 2*c = m + 18, 10*m = c + 11*m - 15. Calculate the remainder when o is divided by c.
10
Let z(x) = 93*x - 2701. Calculate the remainder when z(41) is divided by 122.
14
Suppose -25*q + 9*q = 7568. Let n = -466 - q. What is the remainder when 109 is divided by n?
4
Suppose -52*w + 163 + 415 = 6. Calculate the remainder when 3286 is divided by w.
8
Let b(r) = -11*r**2 - 17*r - 37. Let g be b(-6). Let i = 391 + g. What is the remainder when 102 is divided by i?
42
Let k(f) = 1249*f + 6111. What is the remainder when k(-3) is divided by 14?
12
Suppose -2*v - 1 + 11 = 3*o, 0 = o - 3*v + 4. Let j = o + 5. Calculate the remainder when 82 is divided by j.
5
Suppose 0*y - 120 = -5*y. Let w = 1 + y. Calculate the remainder when -2 - 30*15/(-6) is divided by w.
23
Suppose 149*j - 4132 - 1679 = 0. What is the remainder when 1362 is divided by j?
36
Let j(t) = 4*t + 108. Let f be j(-9). Suppose -