the remainder when r(v) is divided by 49.
46
Let p(h) = -4*h - 147. Suppose -6 = 4*y + 6. Let b(j) = 2*j**2 + 6*j + 5. Calculate the remainder when p(-39) is divided by b(y).
4
Suppose -1165635 = -175*x + 2119465. Calculate the remainder when x is divided by 8.
4
Suppose 14*x + 24 = 20*x. Calculate the remainder when x/((-1032)/(-256) + -4) is divided by 45.
38
Suppose 4*b + 12*b = 672. Suppose -32*p + 494 = -6*p. Calculate the remainder when b is divided by p.
4
What is the remainder when 855 is divided by (-5854)/(-28) - 318/4452?
19
Suppose -25*v - 462 = -27*v. Suppose -47*l + 239 = -v. Calculate the remainder when l is divided by 2.
0
Suppose -14*g = -55*g + 328. Let n be 6/12 + (-9)/(-2). Suppose -2*u + 37 = 5*t, t - 5*t - 109 = -n*u. What is the remainder when u is divided by g?
5
Let n(u) = 61*u + 100. Let a be n(-14). Let l = a + 770. What is the remainder when l is divided by (-94)/(-10) + (-4)/10?
7
Suppose 3728*g - 7 + 306 = 3741*g. Calculate the remainder when 640 is divided by g.
19
Let q(o) = o**3 - 2*o**2 + o - 8. Let a be q(4). Let z(r) = r + 16 - a - 4*r - 20. What is the remainder when 58 is divided by z(-16)?
10
Suppose -3*w + 69 = -2*c, -4*w - 2*c = -98 - 8. Calculate the remainder when w is divided by 37 - 35 - (-2 + -2 + -1) - 3.
1
Let y = -358 - -363. Suppose -62 = y*z - 117. Calculate the remainder when 50 is divided by z.
6
What is the remainder when 21/(-9) + (-7392)/(-36) + 10 is divided by 72?
69
Let m = 186 - 84. What is the remainder when 1834 is divided by m?
100
Suppose 23*a + 194 = 25*a. What is the remainder when 212 is divided by a?
18
Let q(y) = -62*y**3 + 1. Let l = -68 + 70. Suppose l*x = -a + 12, -x + 3 = 5. What is the remainder when q(-1) is divided by a?
15
Suppose 251 - 335 = -4*g. Suppose 0 = -0*j + 5*j. Suppose j = -4*n + 3*n + 8. What is the remainder when g is divided by n?
5
Let v = 11 - 12. Let y be -10*27/6*v. Let b = 61 - y. What is the remainder when b is divided by 7?
2
Suppose 3*r + 57 = -5*g - 117, g + 18 = 5*r. Let p be (-1870)/g*(2 - (-2)/(-4)). Calculate the remainder when 220 is divided by (-1148)/(-68) - (-10)/p.
16
Let r = -2138 + 2200. What is the remainder when 545 is divided by r?
49
Let d(f) = f**3 + 36*f**2 + 115*f - 2. Suppose -5*y + 4*y = 2*m - 271, 4*y + 246 = 2*m. What is the remainder when m is divided by d(-4)?
33
Let m = 15096 + -14263. What is the remainder when m is divided by 138?
5
Suppose -r + 2 = -3, 4*q = -4*r + 228. Let v = q - 9. Suppose -2*k - 8 = -2*m, m + k = -k + 19. What is the remainder when v is divided by m?
7
Suppose 7*c - 574 = 5*c + v, -3*c - v = -851. Calculate the remainder when 873 is divided by c.
18
Suppose -39*f = -34*f - 160. Let c = 24 + f. Suppose -3*w = 3*j - 51, -4*w + 2*j = 3*j - 62. What is the remainder when c is divided by w?
11
Let r = -10 - -5. Let v(o) = -5*o - 3. Suppose 0 = -45*t + 634 + 3191. What is the remainder when t is divided by v(r)?
19
Suppose -4*y + 116 = -0*y. Suppose 2*h + 18 = f + 62, 2*h = -3*f - 108. Let i = 53 + f. Calculate the remainder when y is divided by i.
14
Suppose 5*c + 22 = 197. Let w(d) = 5 - 36*d + 15 + c*d. Calculate the remainder when w(-5) is divided by 15.
10
Let w(g) = g**3 - 3*g**2 + 66*g - 152. Calculate the remainder when 715 is divided by w(6).
11
Suppose 3*x + 79*k - 78 = 86*k, 2*x - 4*k = 48. Calculate the remainder when 419 is divided by x.
11
Suppose 111*p - 115*p + 1004 = 4*q, -2*q + 5*p + 495 = 0. Calculate the remainder when q is divided by 69.
43
Suppose 829 = 3*z - 4*b, z = -2*b + b + 288. Let g = z - 258. What is the remainder when 82 is divided by g?
7
Let g(p) = 14*p**2 - 31*p + 112. What is the remainder when g(3) is divided by 39?
28
Let f be 148/(-10)*(-5)/2. Suppose -3*a = -0*a + 4*m + 2, -2*a + f = -5*m. Let j = 153 - a. What is the remainder when j is divided by 30?
27
Let f be ((-30)/(-15) + (-1 - -1))*2. Suppose 110 + 111 = 5*x + 2*d, -2*x - f*d = -98. What is the remainder when x is divided by 23?
20
Let y(x) = 13*x + 32. Let i(b) = 120*b + 288. Let c(m) = 3*i(m) - 28*y(m). Calculate the remainder when 237 is divided by c(-12).
13
Let a(g) be the second derivative of -7*g**3/3 - 199*g**2/2 - 2*g - 19. Let j = 45 + 31. What is the remainder when j is divided by a(-17)?
37
Suppose 9 = -3*j - 2*v, -4*j - 1 = 3*v + 10. Let r(q) = 17*q + 131. Calculate the remainder when 167 is divided by r(j).
29
Suppose t = -g + 55, 3*g + 135 = 4*t - 2*t. Suppose 15*i = 5*i + t. Calculate the remainder when i is divided by 5.
1
Suppose 18774 = 7*o + 7*o. Suppose -4*q + o = 93. Suppose 6*n + 30 = q. Calculate the remainder when n is divided by 12.
11
Let m(n) = 3*n**2 + n + 3. Let h = -5 - -2. Suppose -21 = 2*x - 225. What is the remainder when x is divided by m(h)?
21
Let n(b) = 114*b + 3717. Calculate the remainder when n(-26) is divided by 192.
177
Let g(f) = 9*f**2 - 602*f - 1. Calculate the remainder when g(67) is divided by 3*(-1 - 0) + 37.
32
Suppose 2*k = 10 + 14. What is the remainder when (9*(-8)/72)/((-2)/430) is divided by k?
11
Suppose 125*b - 2510 - 866 = -86*b. What is the remainder when 973 is divided by b?
13
Let x be 3*(22/3)/(-1). Let q = -68 - x. Let y = q - -54. What is the remainder when 45 is divided by y?
5
Suppose 126*r - 5709 = 90*r + 42351. What is the remainder when r is divided by 6?
3
Let v = 95 + 89. Let w(j) = -3*j**3 - 63*j**2 + 2*j + 94. Let t be w(-21). Let k(q) = -7*q + 381. What is the remainder when v is divided by k(t)?
14
What is the remainder when (2251 - 0) + (-20 - 71)/(-13) is divided by 447?
23
Let w = 1338 + -1259. Calculate the remainder when 165 is divided by w.
7
Suppose 7505 + 2415 = 40*g. Calculate the remainder when 290 is divided by g.
42
Suppose 0 = 8*x - 13*x - h + 44, 3*h - 4 = x. What is the remainder when -60*((-82)/x - -6) is divided by 32?
31
Let r(g) = -g + 9. Let n(i) = -i**3 + 10*i**2 - i + 5. Let v be n(10). Let m(f) = -4*f - 50. Calculate the remainder when m(-21) is divided by r(v).
6
Let f = 245 + -68. Let a = f - 48. Suppose -594 = -21*k + 3*k. Calculate the remainder when a is divided by k.
30
Let q(j) = 9*j**3 + 5*j**2 + 28*j - 101. Calculate the remainder when q(4) is divided by 42.
37
Suppose -4*p - 1 + 15 = -2*p, 4*w + 2*p - 190 = 0. Suppose 140 = 7*i - 2*i. What is the remainder when w is divided by i?
16
Let q be (-4)/(-14) + 156/91. Let v(b) = -b**3 + 3*b - 2. Let t be v(q). Let y = 19 - t. What is the remainder when 91 is divided by y?
22
Suppose -81 = -27*c + 211 + 59. Let f = -9 - -18. Suppose f = 3*j - 66. Calculate the remainder when j is divided by c.
12
Suppose -98*z + 115*z = 3519. Calculate the remainder when 631 is divided by z.
10
Suppose -10*p + 18 = -p. Suppose -p*h = 8, 114 = 3*a + h - 23. Let i = a + -19. What is the remainder when i is divided by 11?
6
Suppose 8*l - 5 = 3. What is the remainder when -62 + 62 - (-47 - l) is divided by 28?
20
Let o = 11880 - 11178. What is the remainder when o is divided by 22?
20
Suppose 5*f - 5*c - 350 = 0, 2*f + 4*c - 144 = 5*c. Let m(h) = h**2 + 94*h + 922. What is the remainder when f is divided by m(-83)?
2
Let f = 44 + -40. Suppose 22 = f*c - 18. Suppose 0 = -j + c - 4. What is the remainder when j is divided by 5?
1
Let y(i) = 7*i**2 + 734*i + 3672. Calculate the remainder when 441 is divided by y(-5).
87
Calculate the remainder when (381 - (18 - 12)) + -2 is divided by 70.
23
Let b = -125 + 145. Calculate the remainder when (-1230)/b*2/(-3) is divided by 63/(-14)*8/(-6).
5
Suppose 2*z = 3*d - 2, -4*z = 7*d - 11*d. Suppose -6*b + 115 = -d*b + 3*v, 5*v = -5*b + 140. Calculate the remainder when 88 is divided by b.
26
Let b = 8235 - 8090. What is the remainder when 1882 is divided by b?
142
Let n(i) = -3*i**3 - 30*i**2 - 81*i - 9. Calculate the remainder when 894 is divided by n(-6).
39
Suppose -1620 = 12*f - 6132. Let m = f - 368. What is the remainder when 75 is divided by m?
3
Suppose 2*n - 2126 = -68*o + 64*o, -2653 = -5*o - n. What is the remainder when o is divided by 111?
86
Let f(k) = 20*k + 118. Suppose 8*g + 5*g + 65 = 0. What is the remainder when 629 is divided by f(g)?
17
Let v(i) = i**3 + 3*i**2 - 11*i + 164. What is the remainder when 1295 is divided by v(6)?
29
Suppose 61*d + 39*d = -52*d + 15048. Calculate the remainder when d is divided by 43.
13