 7. Calculate the remainder when t(-1) is divided by 88.
54
Suppose -7*w + 186 = -101. Let x = w - 40. Calculate the remainder when (-53 - 5)*(x - (2 - 0)) is divided by 15.
13
Suppose 0 = -3*h - 2*a + 199, 2*a = -0*h - 5*h + 337. Let t(l) = 2*l**2 - 5*l + 4. Let q be t(3). Let r = q + 3. What is the remainder when h is divided by r?
9
Let c(u) = -6 + 13 + 61*u - 46*u - 4*u**2 + 0*u**2. Calculate the remainder when c(4) is divided by 1.
0
Let b = -170 - -172. Suppose 5*u - z = z + 210, 2*u = 2*z + 90. Suppose -x + u = 4*x. Calculate the remainder when x is divided by b.
0
Let j(k) = -5*k - 31. Let c be -20 + 15 + 1/(-1). Let z be j(c). What is the remainder when (-115)/23 - (-183 + z) is divided by 26?
23
Suppose 29 = 5*v + o, 7 = 4*v + o - 17. Suppose -2*k + 37 = v. Suppose 3*b - 178 = -4*r + 114, -4*r = -5*b - 356. What is the remainder when r is divided by k?
15
Let w(c) = 48*c - 464. What is the remainder when 1279 is divided by w(10)?
15
Let g = -10672 + 16464. Calculate the remainder when g is divided by 11.
6
Let b(k) = -k**2 + 41*k - 170. Let x be b(34). Let f = x - -50. What is the remainder when f is divided by 60?
58
Suppose 0 = -9*l + 629 - 152. Let a(n) = -146*n**2 - 312*n. What is the remainder when l is divided by a(-2)?
13
Let j(g) = g**3 - 11*g**2 + 13*g - 1. Let w be j(10). Let q = w + -21. Let h = -10809 + 10811. Calculate the remainder when q is divided by h.
0
Let d = -258 + 267. Suppose -1 - 38 = -4*j + 3*p, -2*j + 5*p + d = 0. What is the remainder when 104 is divided by j?
8
Suppose -282 = -3*h + 258. Calculate the remainder when 1442 is divided by h.
2
Suppose 6*h - 4*s = 9*h - 381, 3 = -s. Suppose -113 = -4*x + 5*v, 5*x + 3*v - 95 = -0*x. What is the remainder when h is divided by x?
21
Let h(k) = k**3 - 28*k**2 - 35*k + 182. Calculate the remainder when 113 is divided by h(29).
1
What is the remainder when 914 is divided by 2*3/(-54) + 28160/72?
132
Let k(y) = -y**2 - 6*y. Suppose -15 = 10*l - 7*l. Let z be k(l). Suppose z*j = 7 + 13. Calculate the remainder when j is divided by 2.
0
What is the remainder when ((-3508)/8)/(((-6)/(-4))/(-3)) is divided by 98?
93
Let c = 4336 - 2958. What is the remainder when c is divided by 30?
28
Suppose 5*s + 5 = 5*z - 0, -2*z - s + 2 = 0. Let h be (-4*(-2 + z))/1. What is the remainder when 28 is divided by 2 - (h - (-16)/(-2))?
4
Let b(u) = 2*u**3 - 12*u**2 + 21*u + 9. Let y(r) = 63*r**2 - r. Let i be y(-1). Let x = -30 + i. Calculate the remainder when b(6) is divided by x.
33
Let p = 51 - 34. Let g = 1091 + -527. Suppose -381 = -7*i + g. Calculate the remainder when i is divided by p.
16
Let b = -378 + 380. Suppose -35 = i - 2*i - b*v, 0 = v + 5. Calculate the remainder when 355 is divided by i.
40
Suppose -4*q + 248 = 3*c, 5*q + 3*c - 239 = 71. Suppose -2*y + 36 = 3*f - 2, 11 = f + y. Suppose -2*t = -t - f. What is the remainder when q is divided by t?
14
Suppose -25441*r + 25452*r = 803. Calculate the remainder when 5982 is divided by r.
69
Let f(n) = 15*n**2 - 38*n + 40. What is the remainder when 117 is divided by f(1)?
15
Suppose 113*m - 8*z - 4 = 117*m, 3*m = z + 18. What is the remainder when 11/1*1/1 is divided by m?
1
Let r(f) = -14*f + 134. Let d be r(-6). Suppose c = -55 + d. Calculate the remainder when c is divided by 5.
3
Suppose 4*z = 3*c + 61, 4*c = 9*c - 25. Calculate the remainder when 1116 is divided by z.
14
Suppose 0*h + 68 = 2*h. Suppose -3*l = -h - 20. Let i = 434 - 387. Calculate the remainder when i is divided by l.
11
Suppose -1 = r - v - 7, -5*r + 4*v = -25. Suppose 0*k + 4*k = 3*z - 15, -5*k - 19 = -4*z. What is the remainder when 24 is divided by (10*1)/(k - (r + -5))?
4
Let a be 4*(11 - 8)*3/9. Suppose a*y = 5*d + 120, 4*d - 59 = 2*y - 5*y. What is the remainder when y is divided by 16?
9
Let d = 3645 + -3077. What is the remainder when d is divided by 57?
55
Suppose 0 = -0*g - 2*g - 40. Let u = -36 - g. Let o(s) = -s**2 - 17*s - 10. Calculate the remainder when 15 is divided by o(u).
3
Let b(o) = -20*o**3 + 2*o**2 - 16*o - 58. Calculate the remainder when b(-5) is divided by 161.
157
Suppose 0 = -7*m + 2*m. Suppose -5*j + 2*j - 3*i + 411 = m, 4*j - i = 568. Suppose 6 = -3*y + j. What is the remainder when y is divided by 13?
6
Let r(w) = 2*w**2 - 24*w + 107. Suppose 620*z - 48 = 614*z. What is the remainder when 143 is divided by r(z)?
14
Let q(w) = w**3 + 4*w**2 + 4*w + 6. Let l be q(-3). Let b(g) = 7*g**3 + 3*g**2 - 5*g + 8. What is the remainder when b(l) is divided by 53?
50
Calculate the remainder when (-4)/38 + (-12996538)/(-5833) is divided by 247.
5
Let b(m) = m**3 + 18*m**2 + 11*m - 11. Suppose 2*x - 7*x = -v + 71, 4*x - 2*v = -58. What is the remainder when b(x) is divided by 69?
67
Let c = -18 - -103. Suppose c - 129 = -11*n. Calculate the remainder when 18 is divided by n.
2
Let x(g) = 11*g + 523. What is the remainder when 590 is divided by x(-21)?
6
What is the remainder when (1336/(-6) + 5)/((-30)/9 + 3) is divided by 16?
13
Let u(m) = m**3 - 24*m**2 - 7*m + 23. Let p be u(24). Let s = p + 159. Let r(t) = t**2 - t - 5. What is the remainder when r(6) is divided by s?
11
Calculate the remainder when (100/125)/(1/40) is divided by (84/(-16))/((-3)/4).
4
Let q be (99/(-22))/(-1 - 5/(-8)). Calculate the remainder when 29 is divided by (15/(-10))/(1*(-3)/q).
5
Suppose -11*f + 9 - 9 = 0. Let d(s) = -6*s + 100. Calculate the remainder when d(f) is divided by 26.
22
Let g be (-1 + 1)*(323/(-68) + 5). Suppose -3*j - 4*k = -5*k - 349, g = -4*j + 3*k + 467. What is the remainder when j is divided by 13?
12
Let o(x) = x**3 + 4*x**2 - 4*x - 5. Suppose 0 = 2*c - 4, 0*g + 4 = g + 3*c. Calculate the remainder when (-1 + 4)*(-32)/(-3) is divided by o(g).
10
Suppose -2*o - 61 = 5*m - 145, -4*m - 5*o = -57. What is the remainder when 245 is divided by m?
11
Let m(o) = 5*o**2 - 5*o - 4. Suppose -20*f + 22*f = 24. Suppose 0 = -6*i + 3*i + f. Calculate the remainder when m(i) is divided by 29.
27
Suppose 39*b - 270 = 1407. Suppose 2*t - 30 = -4*g, 2*t + 2*g + 87 = 7*t. What is the remainder when b is divided by t?
9
Suppose -9*b + 148 = 31. Calculate the remainder when 153 is divided by 24/(-16)*(-4)/(-3) + b.
10
Suppose 0 = x - 25 - 10. Let k = -2074 + 2115. Calculate the remainder when k is divided by 75/7 + 10/x.
8
Suppose -4*f - k - 238 + 287 = 0, -40 = -4*f - 4*k. Calculate the remainder when 385 is divided by f.
8
Let q be (3/(-1) + 4)*-1*-49. Suppose -q*n = -11*n - 1938. What is the remainder when 139 is divided by n?
37
Suppose 4*r - 4*g = 36, -2*r - 2*g = -3*g - 16. Let o be (-30)/4*648/(-30). Suppose 0*l = 6*l - o. Calculate the remainder when l is divided by r.
6
Let r(u) = 3*u**2 - 3. Suppose 0 = -42*g + 56*g - 28. What is the remainder when 123 is divided by r(g)?
6
Let h = -168 - -56. What is the remainder when 18/4*h/(-3) is divided by 9?
6
Suppose 4*m - 3*r = -187 + 666, 123 = m - 4*r. Calculate the remainder when 2135 is divided by m.
112
Suppose -m - 2*m + 5 = -y, -5*m = 3*y - 27. Suppose -y*f = -302 - 106. Let i = -21 + 42. Calculate the remainder when f is divided by i.
18
Let n(o) = -o**3 + 10*o**2 + 115*o - 98. What is the remainder when 779 is divided by n(14)?
51
Calculate the remainder when (-62)/744 + 54870/72 is divided by 233.
63
Let t = -4987 + 5724. Calculate the remainder when t is divided by 124.
117
Suppose 0 = -3*z - 5*p + 134, -31*p = 4*z - 36*p - 132. Suppose -i + z = 4*s, 0 = -i - 2*s - s + 36. Calculate the remainder when 65 is divided by i.
5
Suppose -21 - 83 = c. Let n = -47 + c. What is the remainder when n*((-2)/10)/(12/60) is divided by 38?
37
Let h = -367 - -678. Let t = h - 301. Suppose -3*c = -c - 48. What is the remainder when c is divided by t?
4
Suppose -l = -0*l - 3*l + 16. Let b = 68 + -6. Calculate the remainder when b is divided by l.
6
Suppose -179 - 341 = -2*j - 5*c, c - 1004 = -4*j. What is the remainder when j is divided by 19?
3
Suppose 630*a - 331*a + 20553 = 312*a. What is the remainder when 6326 is divided by a?
2
Let d(n) = -3*n**2 + 45*n + 230. Calculate the remainder when 843 is divided by d(14).
27
Let c = 439 + -330. Let p = 78 - 71. What is the remainder when c is divided by p?
4
Suppose k - 3 + 28 = 0. Let r(z) = -z**2 - 28*z - 49. Let y(l) = l**2 + l - 5. Calculate the remainder wh