e remainder when f is divided by z.
10
Suppose 20*i = -25 + 45. Suppose 0 = -2*l + 67 - i. Calculate the remainder when l is divided by 74/10 - (-4)/(-10).
5
Let b = 45 + -43. Let j(s) = -s**3 + 5*s**2 - 6*s + 3. Let i be j(b). Suppose -i*k = -35 + 5. What is the remainder when 169 is divided by k?
9
Suppose 3*x + 4*n - 1063 = 0, -233 = -5*x + 4*n + 1528. Suppose -6 = r + 4*a - 91, -4*r - 3*a + x = 0. Calculate the remainder when r is divided by 5.
4
Let z(u) = u**3 - 2*u**2 + 91*u - 483. What is the remainder when 48266 is divided by z(5)?
44
Suppose 34 = 5*c - 36. Calculate the remainder when ((-1)/c*-368)/(4/14) is divided by 5.
2
What is the remainder when 10/3*589389/446 is divided by 8?
5
Let f = 15254 - 7214. Suppose f + 28735 = 25*j. Calculate the remainder when j is divided by 46.
45
Let u(c) = 5*c**3 - c**2 + 2*c - 1. Let o be u(1). Suppose 87 = o*j + 357. Let r = -27 - j. Calculate the remainder when r is divided by 16.
11
Let p = -65 - -184. Calculate the remainder when -1 + p - 24/24 is divided by 24.
21
Let x = -53 - -54. Let d be -4*(-5)/(-20) - x*-165. Suppose -3*s + 5*w + d = 0, 2*w - 40 = s - 2*s. Calculate the remainder when s is divided by 13.
9
Let a(w) = -2*w**3 - 14*w**2 + 45*w + 23. Calculate the remainder when a(-11) is divided by 73.
58
Let j(n) = -2*n**2 - 100*n - 159. Let v(a) = 25*a + 40. Let b(h) = -2*j(h) - 9*v(h). What is the remainder when 69 is divided by b(9)?
12
Let q be ((-2870)/(-6))/(2/(-30)). What is the remainder when 92 is divided by (1/(-3))/1 + q/(-861)?
4
Let n = 26239 - 26217. Calculate the remainder when 513 is divided by n.
7
Suppose -488 = -20*u + 12*u. Let y be (1 - 2 - -67)*(-3)/(-6). Let b = 49 - y. What is the remainder when u is divided by b?
13
Let x = 142 - 84. Suppose 4*j = -5*g + g + 56, 5*j + g = x. Calculate the remainder when 87 + (1 + 0)/((-11)/j) is divided by 29.
28
Suppose -p = -3*p - s + 32, s + 16 = p. What is the remainder when 2091 is divided by p?
11
Let r be (1 + -1 + 0)/1. Let k(w) = w + 20. Calculate the remainder when (-14080)/(-512) - 10/(-4) is divided by k(r).
10
Suppose -485 = -10*h + 15*h. Calculate the remainder when (-2)/3*(h - (1 + -2)) is divided by 11.
9
Suppose -u = -2*i - 35, -3*u + 44 = -8*i - 71. Calculate the remainder when 103 is divided by u.
3
Calculate the remainder when 182 is divided by 95 + 0 + 7 + -7.
87
Suppose 37*g - 100 - 260 = -35*g. What is the remainder when 1/(-2) - (-45)/2 is divided by g?
2
Suppose -25*a - 18171 = 16864 - 158685. Calculate the remainder when a is divided by 99.
95
Suppose -4*h + 2*h = -5*w + 26, -15 = -3*w + h. Suppose z - 43 = -w*s + 8, 3 = -3*z. What is the remainder when 17 is divided by s?
4
Suppose -2*v = v - 12. Let j be (-70*(-1)/v)/(1/2). Suppose 2*c - 5*n = -19, 5*n = -4*c + j + 2. What is the remainder when 9 is divided by c?
0
Let w(i) = i**2 - 21*i + 40. Let t be w(19). Suppose t*b - 18 = 34. Suppose b = 9*o - 7*o. Calculate the remainder when 179 is divided by o.
10
Let m(r) be the third derivative of -r**6/120 - 17*r**5/60 + 19*r**3/6 + r**2 + 30. Let w = -17 + 0. What is the remainder when 92 is divided by m(w)?
16
Let r = 1087 - 169. Suppose -5*q = -s - 1530, 9*q = 12*q - 2*s - r. Calculate the remainder when q is divided by 44.
42
Let k be (16/12 - 1)*18/2. Calculate the remainder when 497 is divided by (-30)/(-4)*8/k.
17
Suppose 15*g = 5*g + 250. What is the remainder when ((-114)/15)/(2/(-20)) is divided by 13/(g/(-10) + 3)?
24
Let s(q) = -q**3 + 11*q**2 - 19*q - 25. Let f be s(7). Suppose 2*i = -2*l + 202, -34*i = -f*i + l + 414. Calculate the remainder when i is divided by 30.
13
Suppose 4*p + 18 = 182. Let u = -134 - -139. Suppose 4*x = -u*j + 651 + 1, -j + 815 = 5*x. What is the remainder when x is divided by p?
40
Let a = 614 + -875. Let d = a + 286. Calculate the remainder when 222 is divided by d.
22
Let i(h) = h**2 - 17*h - 264. What is the remainder when 416 is divided by i(-12)?
80
Let p(z) be the first derivative of -z**4/4 - 13*z**3/3 - 7*z**2 - 15*z + 78. What is the remainder when 19 is divided by p(-12)?
1
Let x(l) = 10*l**2 + 6*l + 23. Suppose 0 = -2*r + 12 + 4. Calculate the remainder when x(r) is divided by 51.
48
Suppose 0*w = -5*w + i + 390, 4*w - 312 = 5*i. Calculate the remainder when 33 is divided by w/(-8)*(-9)/(189/56).
7
Let l be 175/15 + -4 - 2/3. Suppose -l*s + 25 = -2*s. Let p(f) = -16*f + 83. What is the remainder when s is divided by p(5)?
2
Let y(t) = -2*t**3 - 30*t**2 - 30*t + 2. What is the remainder when 116 is divided by y(-14)?
26
Let z = -2968 - -3043. What is the remainder when 212 is divided by z?
62
Suppose 18*m - 13 = 19*m. Calculate the remainder when (-13)/m - -164*2 is divided by 66.
65
Suppose -11*i - 364 = 7*i - 70*i. Calculate the remainder when 395 is divided by i.
3
Suppose i - 78 = -41. Suppose 59 = -4*x + 5*x. Calculate the remainder when x is divided by i.
22
Suppose 11*k + 4*n - 109 = 6*k, -2*k + 4*n + 66 = 0. Calculate the remainder when 1647 is divided by k.
22
Suppose -i - 4*t + 30 = -49, -2*t = i - 81. What is the remainder when i/498 - 3473/(-6) is divided by 20?
19
Let c(h) = 156*h**2 - 10*h + 9. What is the remainder when 327 is divided by c(1)?
17
Let h(w) = -4*w + 16. Let d = 935 + -569. Suppose -5*z + f + 0*f = -461, 4*z + 2*f = d. What is the remainder when z is divided by h(-2)?
20
Suppose -15 = -4*s - 3. Let f(p) = 5 - p**s + 0 - 2 + 8*p**2 - 6 + 4*p. What is the remainder when 144 is divided by f(8)?
28
Let q(l) = -21*l. Suppose 2*h + 55 - 43 = 0. What is the remainder when 76/h*(-7 - -1)/2 is divided by q(-1)?
17
Calculate the remainder when 18/(-12)*(1444/(-6) + (-24 - -28)) is divided by 119.
117
Let n = -26 - -76. What is the remainder when n is divided by (-3)/5*-10 + 3?
5
Let u = 25294 - 24744. What is the remainder when u is divided by 104?
30
Let h be (-265)/7 + 15/(-105). Let c = 17 + h. Calculate the remainder when 7/c*-282 - 3*1 is divided by 19.
15
Suppose 71*l + 93*l - 4592 = 0. Let m be (-4)/14 - (-138)/42. Suppose m*f = z + 5*f - 8, 2*z - 2*f - 22 = 0. What is the remainder when l is divided by z?
8
Calculate the remainder when 636 is divided by (1 + 10)/(-1 - -3*(-4)/(-8)).
20
What is the remainder when ((-79 - -145) + -68)/((-4)/(-13174)*-1) is divided by 16?
11
Let v = 79 - 70. Let d(t) = -4*t + 48. Let i be d(v). Suppose -6*p + i + 48 = 0. What is the remainder when 38 is divided by p?
8
Suppose 10*b = 35 + 135. Let w(h) = -140*h - 28. Calculate the remainder when w(-2) is divided by b.
14
Let s = -1410 + 1601. What is the remainder when s is divided by 24?
23
Suppose -3*x + 3051 = 3*z, 4*z + 430 = x - 592. Let a = -941 + x. Calculate the remainder when a is divided by 9.
5
Let n be (-6776)/98 - 1/(-7). Let d = n - -34. Let i = d - -43. What is the remainder when 13 is divided by i?
5
Let u(f) = f**2 + 7*f + 2. Let m be 70/(-8) + (-6)/(23 - -1). Calculate the remainder when (-2)/3 - (-208)/6 is divided by u(m).
14
Let f be (-11)/88*0 + (1 - -73). Suppose -d + 36 = 2*c, -3*c + 4*d - 20 + f = 0. Let m = -121 - -191. What is the remainder when m is divided by c?
16
Suppose -2*i = -5*k - 38395, 24*i - 25*i + 5*k = -19210. What is the remainder when i is divided by 117?
114
Let h = 10880 + -8716. What is the remainder when h is divided by 198?
184
Let l(f) = -f**3 - f**2 - 5*f + 72. Let v be l(0). Let x = v - -101. What is the remainder when x is divided by 54?
11
Suppose -2 - 13 = -5*h, 5*v - 327 = h. Suppose -218 + v = -4*i. What is the remainder when 74 is divided by i?
36
Let m(t) be the third derivative of t**4/24 + 49*t**3/6 + t**2 - 54. What is the remainder when 568 is divided by m(-11)?
36
Let f = 34824 - 34765. What is the remainder when 942 is divided by f?
57
Calculate the remainder when (21/12 - (-1008)/192) + (537 - -1) is divided by 141.
122
Let g be 3/5 - 84/(-35). Suppose -g*j = 2*j - 10. Suppose -86 + 4 = -j*x. What is the remainder when x is divided by 11?
8
Calculate the remainder when (-20884)/96*-8 + 4/6 is divided by 21.
19
Let g = 26722 + -23067. Calculate the remainder when g is divided by 31.
28
Suppose -3*b + 21 = 3*t - 96, b - 2 = 0. What is the remainder when t is divided by 3?
1
Let x be (35/21)/((-6)/(-36)*-2). What is the remainder when 226 is divided by 2 + 1 - x/(0 - -1)?
2
Suppose -14