 What is the remainder when g is divided by 19?
8
Suppose 11 = t + 2*z, 0 = 5*t + 5*z - 13 - 27. Suppose t*n - 2*n - 2*s - 7 = 0, -n = -s - 1. Calculate the remainder when 24 is divided by 4 - (-1 + 0/n).
4
Let n(j) = -3*j**3 + 60*j**2 + 6*j - 31. What is the remainder when n(20) is divided by 1*(14/4)/(2/4)?
5
Let x(r) = 7 - 2 - 6*r + 8*r. What is the remainder when 12/(-126) - (-1 + (-1325)/21) is divided by x(6)?
13
What is the remainder when 271 is divided by ((-65)/(-10) + 14)*6/3?
25
Let g = 142 - 138. Suppose g*l = 9 + 11, -4*d = -5*l - 7. Calculate the remainder when 31 is divided by d.
7
Let h = -37 - -117. Suppose 4*b = 9*b - h. What is the remainder when b is divided by 30/2*2/5?
4
Let n be (-3)/(-4) - ((-55)/(-20) - 2). Suppose -x = -5*z + 284, n*x - 2*x = -5*z + 288. Suppose 0*f + 7*f = z. Calculate the remainder when 61 is divided by f.
5
Let d be (-162)/90*25*(-3)/9. Suppose 18*l - 66 = d*l. Calculate the remainder when l is divided by 14.
8
Let v = 624 + -538. Suppose 0 = 4*a + v - 158. Calculate the remainder when 102 is divided by a.
12
Suppose 0 = 17*t + 3*t - 980. Suppose -10*w + 959 = t. Suppose 0 = -6*h + 3*h + 84. What is the remainder when w is divided by h?
7
Suppose 2910 + 1375 = -5*m. Let q = -773 - m. Calculate the remainder when q is divided by 52.
32
Let x(d) = -21*d**3 - 4*d**2 + 6*d - 5. Let r be x(2). Let z = -169 - r. Calculate the remainder when 31 is divided by z.
7
Suppose -60*z = -76*z + 4464. Calculate the remainder when z is divided by 56.
55
Suppose -2*m - 258 = -3*q + 2*m, 3*m + 337 = 4*q. What is the remainder when q is divided by 8?
2
Let i(j) be the first derivative of 11*j**2 + 39*j + 48. What is the remainder when i(4) is divided by 16?
15
Let z(m) be the third derivative of m**5/30 - 11*m**4/6 - 19*m**3/6 - 13*m**2 - 3*m. What is the remainder when 264 is divided by z(23)?
21
Let b be 0/(-9 - -2 - -13). Suppose b = -4*v - 29 + 389. Let u(s) = 19*s. Calculate the remainder when v is divided by u(1).
14
Let a = 8994 - 1759. What is the remainder when a is divided by 57?
53
Let d = -4692 - -4718. Calculate the remainder when 98 is divided by d.
20
Let n = 66 - 66. Suppose n = -33*v + 30*v + 12. What is the remainder when v is divided by 0 + 0 + 1 + 2?
1
Let k(a) = 13*a**2 + 7*a - 25. Calculate the remainder when 2072 is divided by k(2).
22
Suppose 0 = -20*p + 25*p - 45. Suppose 0 = -2*j - p*j + 220. Calculate the remainder when 56 is divided by j.
16
Suppose 5928*s - 5930*s = -2066. Calculate the remainder when s is divided by 16.
9
Suppose -z + 1235 = 4*z. Suppose 21380 + 20842 = 681*f. What is the remainder when z is divided by f?
61
Let g(q) = -q**3 - 3*q**2 + 16*q - 10. Let v = -39 + 32. Let z = 74 - 49. Calculate the remainder when g(v) is divided by z.
24
Let v(i) = i**2 + 5*i**2 + 22*i**3 - 48 + 22*i + 16*i**3 - 59*i**3 + 20*i**3. Calculate the remainder when v(7) is divided by (30/(-25))/(3/(-50)).
17
Let y = 31 + 31. Let m(u) = 3*u**2 - 31*u + 14. Let s be m(10). Suppose 0*t - 4 = 4*t, s*t = -5*q + 101. What is the remainder when y is divided by q?
20
Let q = -3106 - -3251. What is the remainder when q is divided by 25?
20
Suppose w - 4 = -3*w. Suppose 2*d = -3*q + 8, 4*q + 38 = 3*d + 2*q. What is the remainder when (26/65)/(4/d) is divided by w?
0
Let y(t) = 567*t**2 + t + 1. What is the remainder when y(-1) is divided by ((-518)/(-49) + -10 - (-60)/(-56))*-76?
35
Let n(u) be the second derivative of 3*u**3 + 41*u**2/2 - 30*u + 7. Let x(o) = 6*o - 1. Let v be x(1). What is the remainder when n(v) is divided by 33?
32
What is the remainder when 1005 is divided by (2 - 14)/((-59)/((-45961)/(-38)))?
21
Let y(u) = -238*u + 1695. Calculate the remainder when y(7) is divided by 9.
2
Suppose 30*k - 8449 = -889. Suppose 0 = -k*z + 250*z + 390. What is the remainder when z is divided by 14?
13
Calculate the remainder when (-176)/(-1152)*5283 - 2/16 is divided by 323.
161
Let x = -5611 - -5673. Calculate the remainder when x is divided by 48.
14
Let r = -172 - -174. Suppose 0 = 5*s, -y + 38 = -2*s - r*s. What is the remainder when 261 is divided by y?
33
Let u be (-13 - -16)*16/(-6). Calculate the remainder when (6/(-64)*u)/((-2)/(-208)) is divided by 41.
37
Let o be -5*(-4 - (-32)/10). Suppose -3680 = 5*g + 5*w, -w - 1053 + 4007 = -o*g. Calculate the remainder when g/(-27) - 8/6 is divided by 9.
8
Let m(t) = -2*t**2 - 33*t - 11. Let n be m(-14). Suppose -15*v = -14*v - n. Calculate the remainder when v is divided by 22.
15
Suppose 0 = 2*o - 2*a + 3*a - 16, 5*o = 2*a + 58. Let k(v) = v**2 - 134*v - 10373. What is the remainder when k(-56) is divided by o?
7
Let f = 6718 - 6636. Calculate the remainder when f is divided by 45.
37
Let z be (-3424)/7 + 8/56. Calculate the remainder when 136 is divided by (-36)/126 + z/(-21).
21
Suppose -6*o = -o - 195. Let d = -22891 + 22966. Calculate the remainder when d is divided by o.
36
Let g = -34 - -67. Let z = 20 - 110. Let c = z - -102. What is the remainder when g is divided by c?
9
Let w = 38346 + -33520. Calculate the remainder when w is divided by 37.
16
Suppose 0 = 5*s - 24 - 16. Suppose -6778 = -13*y - 6063. What is the remainder when y is divided by s?
7
Suppose 0 = 4*n + 2*w - 106, -3*n - 2*w + 82 = -w. Let m(f) = f**2 - 2*f - 3. Let l be m(-1). Calculate the remainder when n is divided by 4 - (1 - l) - 5/(-1).
5
Let d = -4624 + 5846. What is the remainder when d is divided by 18?
16
What is the remainder when 423 is divided by 10 + (14/70)/(3/2775)?
33
Let y(d) = 13*d**3 - 8*d**2 + 22*d - 13. Calculate the remainder when y(3) is divided by 87.
71
Let l = -2686 - -2690. Let w = -6 + 10. Suppose 0 = w*g + 2*q + 3*q - 28, -g + 14 = 3*q. Calculate the remainder when l is divided by g.
0
Suppose 0 = 14*b - 18*b + 4, -131 = -3*j - 5*b. What is the remainder when 656 is divided by j?
26
Calculate the remainder when 110 is divided by 27*(180/(-126))/((-9)/21).
20
Suppose 157 + 103 = 5*m. Let r be 0 + (10 - (-1 - 3)). Suppose 6*o = d + o - r, -o - 19 = -2*d. Calculate the remainder when m is divided by d.
7
Suppose -5492 = -5*y - 3*u, -4*y = 16*u - 15*u - 4388. What is the remainder when y is divided by 122?
120
Let y(o) = 4*o - 5. Let g(p) = -p**3 + 13*p**2 + 12*p + 18. Let u be g(-5). Let l = u + -377. Calculate the remainder when l is divided by y(6).
12
Let n be 56/(-30) - 11/(-165)*-2. Let z(d) be the first derivative of -d**4/2 + 3*d**2/2 + d + 2. What is the remainder when 31 is divided by z(n)?
9
Suppose -3*a - 132 = -5*v, 5*v + 2*a + 2100 - 2212 = 0. What is the remainder when 51 is divided by v?
3
Suppose 4788 = 181*w + 47*w. What is the remainder when 1070 is divided by w?
20
Suppose 3*g - 92 - 241 = 0. Suppose 8*f + 7 - g = 0. Calculate the remainder when 22 + 1 + 10/(-2) - -5 is divided by f.
10
Let r = -11455 - -11495. Calculate the remainder when 230 is divided by r.
30
Suppose 3*k = 10*k + 3*k. Let o = -473 - -529. Calculate the remainder when o is divided by (k - (-20)/(-3))*(-9)/6.
6
Let r be 63/28 - 2/8. What is the remainder when ((-88)/11 - -138) + 13 + -10 is divided by ((-136)/(-6))/(r/3)?
31
Suppose 43744 = 144*y + 5728. Calculate the remainder when 925 is divided by y.
133
Suppose -267*t = -237*t - 1350. Calculate the remainder when 88 is divided by t.
43
Let a = 217 - 209. Suppose 0 = 21*o - 202 - a. What is the remainder when 208 is divided by o?
8
Let b = 9949 + -9820. Calculate the remainder when b is divided by 103.
26
Let v be (-3 + (-477)/5)*5. Let u be -29 + (5 - 6 - -3). Calculate the remainder when 52 is divided by v/(-27) + 6/u.
16
Let y(g) = 7*g - 134. Let w be y(19). Calculate the remainder when 56 is divided by w + -3 + 29 + 4.
27
Let r = 74 + -74. Suppose 31 = 4*p - j - r*j, -2*p + 5*j + 29 = 0. Suppose 0 = -5*u + p + 78. What is the remainder when 47 is divided by u?
13
Let r(o) = 5*o**2 + 17*o + 186. Calculate the remainder when r(-27) is divided by 7.
5
Let n(k) = k + 17. Let s be n(-12). Suppose s = 2*y - 5, -2*r + 14 = -2*y. Let l = -107 + 142. What is the remainder when l is divided by r?
11
Let f = -18724 + 28666. What is the remainder when f is divided by 113?
111
Suppose -3*k + 1326 = 2*v - 8*v, 2*k - 875 = -5*v. Calculate the remainder when k is divided by 384.
56
Suppose 37*v = 33*v + 24. Let t(y) = 5*y*