 by 7?
3
Let t(q) = -2*q**2 - 10*q - 5. Let n = -55 - -51. Let z be t(n). Suppose 0 = -2*i + w + 15, z*i - w = 21. What is the remainder when 41 is divided by i?
5
Let i = -292 - -335. Calculate the remainder when 234 is divided by i.
19
Suppose -p + 4*d + 3452 = 0, 13*p - 20597 = 7*p + d. What is the remainder when p is divided by 1716?
0
Suppose -3*w + 26 = -5*z, 2*w - 11*z = -10*z + 29. Suppose 5*i - 139 = 51. Calculate the remainder when i is divided by w.
4
Suppose 4055 = 5*w + 2540. Calculate the remainder when w is divided by 114.
75
Let s(c) = 4*c**3 + 2*c**2 - 2. Let l be s(1). What is the remainder when 90 is divided by 12*(l + (-30)/9)?
2
Let w(j) = 59*j - 27*j - j**2 - 18*j. What is the remainder when w(6) is divided by 1*15/1 - 2?
9
Suppose 9*u + 3*h = 4*u + 186, 2*h - 76 = -2*u. Calculate the remainder when 201 is divided by u.
21
Let w(g) = 627*g - 6883. What is the remainder when (-565)/(-7) - 8/(-28) is divided by w(11)?
11
Let t = -876 + 885. Calculate the remainder when t is divided by 9.
0
Suppose -12*m = 19*m - 2*u - 4772, -3*m + 467 = 5*u. Calculate the remainder when 868 is divided by m.
98
Let x be (7900/30)/(1/(-36)*-4). Suppose 19*k - 34*k + x = 0. What is the remainder when k is divided by 5?
3
Suppose -100 = -5*t - 5*b, 0 = -5*t + 2*b + 3*b + 50. Suppose 14*u + t = 11*u. Calculate the remainder when (-1364)/(-20) + 1/u - 1 is divided by 17.
16
Let f = 37 - 33. Suppose f*t + 11 = -3*g, -t - 8 = 2*g - 3*g. Suppose -21 = -10*j + g*j. What is the remainder when 30 is divided by j?
0
Suppose -3*x + 2*x - 3 = 0, -2*h - 8 = 4*x. Let t(y) = 99*y**2 - y. Let m be t(-1). Suppose j = h*j - m. Calculate the remainder when j is divided by 17.
15
Suppose -10*g + 107*g - 6984 = 0. Let y = 0 - -21. What is the remainder when g is divided by y?
9
Suppose -76*x + 144 = -77*x. Let d = x + 179. Calculate the remainder when d is divided by 4.
3
Let m(b) = -b**2 + b + 3. Let r be m(-4). Let q be ((-5)/(-15))/((-2)/30). Let i = q - r. Calculate the remainder when 69 is divided by i.
9
What is the remainder when 5*9/(-45)*(-160 + 2) is divided by 23?
20
Let x(n) = -2*n**3 + 16*n**2 + 14*n - 19. Let j be x(9). Let g = -25 - j. Calculate the remainder when 116 is divided by g.
26
Suppose -8*h = 12*h - 7100. Let i = 406 - h. Calculate the remainder when 611 is divided by i.
50
Let t(d) = -3 + 12 + 6*d - 46 - d. Let l(y) = 5*y - 37. Let r(x) = -3*l(x) + 4*t(x). What is the remainder when r(18) is divided by 19?
15
Suppose -29*n - 4*g + 204 = -27*n, 0 = 2*g + 2. Calculate the remainder when 311 is divided by n.
103
Let f(j) = j**3 - 26*j**2 + 33*j + 61. Let a be f(26). Suppose -38*u - a = -3921. Calculate the remainder when u is divided by 51.
28
Let r(h) = -31*h + 40. Let d(t) = 9*t + 33. Calculate the remainder when r(-5) is divided by d(0).
30
Let s = 1313 + -757. Suppose 0 = 4*g + 4*r - 152, 24 = -4*r + 4. Calculate the remainder when s is divided by g.
40
Let k = 21931 + -21592. Calculate the remainder when k is divided by 2.
1
Suppose -5*f = 2*o - 43, -6*o = -5*f + 1 + 10. Calculate the remainder when 234 is divided by f.
3
Suppose 19 = 4*w + c, 14 = 2*w - 9*c + 5*c. Suppose 20 = 3*r + 2*r, -5*d + 75 = -w*r. What is the remainder when 107 is divided by d?
12
Let b(a) = 29*a**2 - 85*a - 274. Suppose 2*j - 70 = -2*p, j + 10 - 45 = -2*p. Calculate the remainder when b(-3) is divided by j.
32
Let a(b) = -3*b + 13. Let r be a(7). What is the remainder when ((-6)/5)/(1/(-75)) is divided by 3 + 24 + 32/r?
21
Suppose -126*a + 4*d = -129*a + 56, -5*a - 2*d + 112 = 0. Calculate the remainder when 58 is divided by a.
10
Let x = -154 + 158. Let l(o) = -o**3 + 6*o**2 - 8. Calculate the remainder when 166 is divided by l(x).
22
Let u be 27/5 + (-8)/20. Suppose 76 = 4*r - u*q, -3*q = -r + q + 8. Suppose 13*t - 61 = 56. Calculate the remainder when r is divided by t.
6
Suppose -3*p = 2*p - 550. What is the remainder when (-221)/(-68) + 10444/16 is divided by p?
106
Suppose 2*a + 115*j = 113*j + 7690, -2*a + 2*j + 7714 = 0. What is the remainder when a is divided by 40?
11
Let t(p) = -30*p**2 + p. Let g be t(-1). Suppose -4*x - 213 = -l, -3*x = x + 2*l + 198. Let q = g - x. What is the remainder when 81 is divided by q?
18
Suppose 220 = 6*j - 38. What is the remainder when 106 is divided by j - (84/2)/7?
32
Suppose -623 = -4*a - 5*d, a - 3*a - 2*d + 314 = 0. Suppose -4*b = -5*j + 259, 69*j = 68*j - 5*b + 75. Calculate the remainder when a is divided by j.
52
Suppose 3*t = 0, 1155*t = -3*q + 1159*t + 1122. What is the remainder when 796 is divided by q?
48
Suppose 0 = -2*g + 4*g - 10. Suppose 0 = -g*d + 12 - 7. Calculate the remainder when (-72 + 2)/((-1)/d) is divided by 9.
7
Suppose 6*q - 116346 = -3*r + 5*q, 4*r = q + 155135. What is the remainder when r is divided by 41?
38
Let f(v) = -2*v**3 - 6*v - v - 22*v**2 + 1 + 14*v**2. Let d(u) = u**2 + 57*u - 283. Calculate the remainder when f(-6) is divided by d(-62).
25
Let w = -84 + -22. Let j = 153 + w. What is the remainder when 3/(6 - 3) + 87 is divided by j?
41
Suppose -2*w - 40 + 54 = 0. Let b = -29 - -111. Calculate the remainder when b is divided by w.
5
Suppose 0 = -n + 4*n - 246. Suppose -2*h + h - 10 = 0. Let u(k) = k**2 + 9*k + 4. Calculate the remainder when n is divided by u(h).
12
Suppose -2*r - 2*j = -850, 0 = -3*r + 4*j + 1502 - 206. Calculate the remainder when r is divided by 28.
8
Let o(d) = d**3 + 24*d**2 - 74*d - 327. What is the remainder when o(-26) is divided by 62?
59
Suppose -5*r + 12 = -r, -3*o + 69 = -3*r. Suppose -o*w - 255 + 853 = 0. What is the remainder when w is divided by -2 - (-10)/(2 + -1)?
7
Suppose -54 = -2*y + 130. Suppose -2*r - 2*r = -y. Let s(o) = 3*o**2 + 592*o - 4634. What is the remainder when s(-205) is divided by r?
12
Suppose 23*i - 2465 = 16*i - 757. Calculate the remainder when i is divided by 167.
77
Let p = -9623 + 9651. What is the remainder when p is divided by ((-10)/(-8))/(3/12)?
3
Let c(d) = -6*d**3 - 3*d**2 + 6*d - 6. Let k be c(2). Let i = k + 149. What is the remainder when i is divided by 33?
29
Let b(m) = -344*m - 92. What is the remainder when b(-2) is divided by 40?
36
Calculate the remainder when 1218 is divided by (9 - 3)*16/56*14.
18
Let c = -8228 - -9108. What is the remainder when c is divided by 439?
2
Let k(r) = 4*r**2 + 36*r - 495. Calculate the remainder when k(16) is divided by 37.
32
What is the remainder when 4466 + 2 + -27 - (3 + -1 + -8) is divided by 16?
15
Let c = 46 + -151. Let j = c + 143. Suppose -2*a = -j - 102. Calculate the remainder when a is divided by 9.
7
Let v be 198/(-12)*26/(-3). Let s = -139 + v. Suppose -11 = 5*p + s, 4*m - 2*p - 122 = 0. What is the remainder when m is divided by 6?
5
Suppose 182*l + 310*l - 71*l - 1263 = 0. Suppose 3*w = -2 - 1. What is the remainder when 3/w*(-44)/12 is divided by l?
2
Let q(b) = -3*b**3 - 13*b**2 - 8*b + 21. Calculate the remainder when 4/(-6) + (-861)/(-9) is divided by q(-3).
5
Let l = -21584 + 22744. Calculate the remainder when l is divided by 30.
20
Let h = 771 - 724. Calculate the remainder when 180 is divided by h.
39
Suppose -2818*p - 6780 = -2824*p. What is the remainder when p is divided by 551?
28
Suppose -1790 = -4*y - 446. Suppose y = 2*j + 2*j. Suppose 203 = 23*n - 464. Calculate the remainder when j is divided by n.
26
Let f(d) = 5*d**3 + 18*d**2 - 4 - 14*d**2 - 2*d**3 - 9*d**2 - 3*d. Suppose -7*o + 5*o = -180. Calculate the remainder when o is divided by f(3).
21
Let v(h) = -237*h + 240. What is the remainder when v(-2) is divided by 238?
0
Let k be 66/(-55)*(-10)/3. Suppose -4*n + 12 = 0, -6*n + 3*n - 3 = -k*w. What is the remainder when 31 is divided by w?
1
Let p = -626 - -615. Let x(s) be the third derivative of -s**4/4 + 6*s**3 - s**2. What is the remainder when x(p) is divided by 26?
24
Suppose 31*p = 2140 + 2355. Suppose 0 = -22*t + 17*t + p. What is the remainder when t is divided by 11?
7
Suppose -30*k + 3442 = -2798. Calculate the remainder when k is divided by (2 - 3/2)*106.
49
Let d(q) = -154*q**3 - 3*q**2 + 3*q + 11. Let w be d(-2). Suppose -g + w = 5*m - 10*m, -g - 3*m = -1201. What is the remainder when g is divided by 12?
10
Let d(h) = -14*h + 78. Let q(y) = -9*y - 41. Let o be q(-5). Calculate the remainder when 240 is divided by d(o).
20