- 16. Suppose p*y + 4*t - 23 - 80 = 0, -t + 89 = 4*y. What is the remainder when c is divided by y?
21
Let l = -1501 + 1527. Let f = 0 + 15. Calculate the remainder when l is divided by f.
11
Suppose y + 700 = 740. Calculate the remainder when 75 is divided by y.
35
Suppose -5*c = -10, 29*c - 59 = -3*s + 28*c. What is the remainder when 49 is divided by s?
11
Let j = 120 - -217. Suppose -5*h - 2*n + j = -0*h, -4*h = -n - 280. What is the remainder when h is divided by 7?
6
Suppose -211*d + 216*d = 5*l - 7220, 5*l - 7212 = -3*d. What is the remainder when l is divided by 38?
37
Let q be 3/(2/(-20)*-2). Suppose -3 = 3*y - q. Let l = 3645 + -3632. Calculate the remainder when l is divided by y.
1
Suppose -5*h - 4*g + 939 = 0, 0 = 4*g + g - 5. Calculate the remainder when h is divided by 21.
19
Let h(g) = 22*g - 82. Calculate the remainder when 195 is divided by h(5).
27
Let c(r) = -r + 32. Calculate the remainder when 10 is divided by c(26).
4
Let t = -3 - -6. Suppose 2*q + 1 = -t*w, -6*q + 14 = -q + 2*w. Let y = -2 + 6. Calculate the remainder when q is divided by y.
0
Let a be 3/(((27/438)/1)/3). What is the remainder when 242 is divided by (2/6 + a/3)/1?
46
Suppose -5*n - 10 = 3*b, -3*b + 0*b - 4 = 2*n. Suppose b = 14*j - 15*j + 69. What is the remainder when j is divided by 35?
34
Let g(c) = -c + 23. Let b be (369/6)/3 - 6/4. Calculate the remainder when 13 is divided by g(b).
1
Suppose 5*i - 8*i + 57 = 0. Let y be (-3)/(-5) - (-4212)/30. Let q = -68 + y. What is the remainder when q is divided by i?
16
Suppose -4*z - 114 = -4*f - 2*z, -3*f = -3*z - 90. Suppose 4*a - 23 = s + f, -a = 2*s - 17. What is the remainder when a is divided by 5?
3
Let i(t) be the third derivative of t**4/8 - 10*t**3/3 + 8*t**2. What is the remainder when 153 is divided by i(17)?
29
Let b = -28 - -26. Let n(u) = 6*u**2 + 4*u + 3. What is the remainder when 51 is divided by n(b)?
13
Suppose 78*q - 192 = 70*q. What is the remainder when q is divided by 7?
3
Let v be (-123)/(-30) + (-2)/20. Suppose 0 = -2*f + v*f + 10, -4*k = -3*f - 123. Calculate the remainder when 51 + (-1)/(-1 - 0) is divided by k.
25
Suppose k + 6*b - 11 = 4*b, 32 = 4*k + 5*b. Let q = -20 + 41. Suppose 3*o - 30 = -0*o + 2*w, q = k*o + w. What is the remainder when o is divided by 4?
0
Suppose w - 111 = -5*y + y, 2*w - 77 = -3*y. Calculate the remainder when 198 is divided by y.
24
Suppose 4*c + b = 244, 45*c - 40*c - 305 = 4*b. Calculate the remainder when 731 is divided by c.
60
Let m be 36/(-2)*(-3)/2. Let d = m + -21. What is the remainder when -2 - (-1 + -20) - -2 is divided by d?
3
Let a = 267 - 253. What is the remainder when 137 is divided by a?
11
Let h = 188 - 129. Calculate the remainder when 234 is divided by h.
57
Suppose 5*i - 4 = 86. Calculate the remainder when -34*((-18)/24 - (-21)/(-28)) is divided by i.
15
Suppose 5*v - 25 = 5*j, -v - 3*v = -5*j - 30. Let c = j - -28. Suppose -6*o + 4*o = -5*w - 117, -w + 5 = 0. Calculate the remainder when o is divided by c.
17
Let d(w) = 49*w - 170. Calculate the remainder when 127 is divided by d(4).
23
Suppose -5*z - 5*s = -177 - 138, 2*s = 5*z - 280. What is the remainder when 231 is divided by z?
57
Calculate the remainder when (-2300)/(-25) + 5/(-2 + 3) is divided by 33.
31
Let s = 52 + -31. Let f be 17/(-5) - 8/(-20). What is the remainder when s is divided by (231/(-35) - f)/((-6)/20)?
9
Let d be 9855/21 - (-6)/(-21). Suppose 1 + d = 5*u. Calculate the remainder when u is divided by 3/(1 + 14/(-16)).
22
Let r(d) = 2*d**3 - 4*d + 3. Let n be r(2). Suppose 3*a - 4*a = -n. Calculate the remainder when 18 is divided by a.
7
Let k be (-18)/7 - 3/7. Calculate the remainder when 25 is divided by -3 - (2 - 9) - k.
4
Let q = -15 - -17. Suppose 2*i + q*i = 28. What is the remainder when i is divided by 5?
2
Suppose -3*g + 2*q = -114, 0 = 2*g + 5*q - 63 - 32. Let a = 89 - g. Calculate the remainder when a is divided by 26.
23
Let d = 17 + -35. Suppose 35 = 7*y - 2*y. Calculate the remainder when d/10*20/(-3) is divided by y.
5
Let f be (-2)/(2 - (-1 + 1)). Calculate the remainder when (36/5)/(f/(-5)) is divided by (52/20)/((-2)/(-10)).
10
Let l = 14 - 9. Let n be (-12)/l + 2/5. What is the remainder when (-3 + 4)/(n/(-48)) is divided by 7?
3
Suppose -47 = 943*c - 944*c. What is the remainder when 208 is divided by c?
20
Let d = -8 + 46. Calculate the remainder when d is divided by 10 - 3 - (-4 - -1).
8
Suppose 2*p + r + 10 = -0*r, 23 = -5*p - 2*r. Let a be p/(-7) + (-12)/28. Suppose -u + 17 + 23 = a. What is the remainder when 79 is divided by u?
39
Let v(p) = 26*p - 186. What is the remainder when 102 is divided by v(8)?
14
Let g(q) = q + 14. Suppose i + 4*i - 5*z = 295, 2*z - 102 = -2*i. Calculate the remainder when i is divided by g(0).
13
Calculate the remainder when (2/(-7) - (-23)/7) + 166 is divided by 43.
40
Suppose -2*g + 2484 = -53*g + 143*g. Let v be (-2 + 6)*2/(-4). Calculate the remainder when g is divided by (19 - (v + 4)) + -2.
12
Let n be (-6)/12*(-9 + 1). Suppose -n*z = -z - 27. What is the remainder when (-876)/(-14) + z/21 is divided by 16?
15
Let i(s) = -23*s - 257. Calculate the remainder when 2032 is divided by i(-12).
18
Let z = 0 + 3. Suppose -3*v = z*i - 8*v - 40, 10 = 3*i + v. Suppose -i*x = -49 + 4. What is the remainder when 35 is divided by x?
8
Let a(o) = -12*o**3 - o**2 - 3*o - 1. Let k be a(-2). Let m = k - 54. What is the remainder when m is divided by (-460)/3450 - (-1)/((-30)/(-214)) - -4?
10
Let b be (-1515)/(-21) + 2/(-14). Suppose 4*c - 67 + 243 = 0. Let s = b + c. What is the remainder when 54 is divided by s?
26
Let r(f) = -3*f**3 - 7*f**2 - 5*f + 14. Let p(y) = y**3 + y - 1. Let l(t) = -4*p(t) - r(t). Calculate the remainder when l(6) is divided by 2 - ((-6)/3 + -7).
10
Suppose 5485 - 985 = 9*v. Calculate the remainder when v is divided by 167.
166
Calculate the remainder when 9640/240 - (-2)/(-12) is divided by 22.
18
What is the remainder when (15/4)/(6/(96 - 0)) is divided by 16?
12
Let j(p) = -p**3 + 4*p**2 + 4. What is the remainder when 24 is divided by j(3)?
11
Let v(m) = 13*m + 23. Suppose -10 = 15*q - 17*q. Calculate the remainder when v(q) is divided by 18.
16
Suppose 3*y = -7 - 2, -8 = 5*n + y. Calculate the remainder when 82*((-6)/4 + 2) is divided by ((-35)/10*4)/n.
13
Let x be ((-2)/(-5))/(453/(-90) - -5). Let r(n) = -n**2 - 13*n + 24. Calculate the remainder when r(x) is divided by 13.
10
Suppose -v + 0*v = 3*n - 21, -4*v + 4*n = -36. Let j(p) = p + 9. Calculate the remainder when v is divided by j(-5).
0
Let j be (1/(-2))/((-1)/6). Calculate the remainder when 83 is divided by (j/(-4))/((-834)/(-168) + -5).
20
Let k(u) = -u**3 + 5*u**2 + 6*u + 5. Suppose -20 = -3*y - 2. Let w(h) = -h - 2. What is the remainder when k(y) is divided by w(-6)?
1
Let b(u) = -u**3 - u**2 + 3*u - 4. Let p be b(-3). Suppose 30 = -2*k + p*k. Calculate the remainder when 65 is divided by k.
5
Let k(y) = y**3 - 10*y**2 + 4*y - 25. Let i be k(10). Suppose -204 = 14*f - i*f. What is the remainder when 6/39 - f/(-26) is divided by 4?
0
Suppose -58 - 42 = 4*i. Let d = 28 + i. Suppose -d*v - 2*v = -20. Calculate the remainder when v is divided by 3.
1
Calculate the remainder when 276 is divided by 8 - -1*320/4.
12
Calculate the remainder when 134 is divided by 6 - (-4 + 2 - 37).
44
Suppose 2468 = 61*t - 2229. What is the remainder when 142 is divided by t?
65
Suppose -38 = -c + 29*z - 24*z, 4*c - 5*z - 122 = 0. Suppose 0 = b - 3*p + 16 - 5, 5*b + 7 = -p. What is the remainder when c is divided by (2/(-4))/(b/40)?
8
Suppose -i - 3*i = 4. Let z = 35 + -20. What is the remainder when ((-5)/10)/(i/88) is divided by z?
14
What is the remainder when (1668/7)/(36/126) is divided by 19?
17
Let x = 439 - 399. Calculate the remainder when 170 is divided by x.
10
Suppose -5*v + 48 = -7. Let p be (-1 + 4)/(7/35). Suppose 0*h + p = 5*h. What is the remainder when v is divided by h?
2
Let n = 26 + -26. Suppose 0 = -5*s - 4*k + 348, -s - 4*k + 76 = -n*s. Suppose -3*t + 5*t - 46 = 0. What is the remainder when s is divided by t?
22
Suppose 0 = 3*r + 5*h - 85, -3*r - 7*h = -9*h - 50. Calculate the remainder when r is divided by 46/4 - 2/(-4).
8
Suppose 51 = 4*z + 3*r - 4*r, 33 = 2*z - 3*r. What is the remainder when 174 is divided by z?
