 the remainder when 62 is divided by j?
14
Suppose -3*p + 355 = -2*r, 0 = 62*p - 58*p + 2*r - 478. Calculate the remainder when p is divided by 11.
9
Suppose 5*v = 3*b, -3*b = v + 3*v + 27. Suppose 0 = 2*w - 5*p + 55, -3*w = 4*p - 0*p + 94. What is the remainder when 7 is divided by v*1 - w/6?
1
Suppose 0*p = -d + 5*p + 37, -3*d + p = -111. What is the remainder when 144 is divided by d?
33
Let p = -1522 + 2007. Calculate the remainder when p is divided by 13.
4
Suppose -182 = 8*g - 1982. Calculate the remainder when g is divided by 6.
3
Let j(t) = -t**3 - 3*t**2 - 2*t + 3. Let w be j(-2). Suppose w*b = -118 + 163. What is the remainder when 55 is divided by b?
10
Let l(p) = p + 8. Let b be l(-6). Suppose -13 = -3*f + b*f. Let x = f - 6. Calculate the remainder when 20 is divided by x.
6
Let q(u) = u**2 + u - 4. Let l be q(-3). Let s(m) = -3*m - 6 + 11*m**2 - 5*m**2 + m + 0*m**l. What is the remainder when s(-3) is divided by 14?
12
Let k be (0 - (-2 + 1)) + 71. Suppose 3*x + 5*x = k. What is the remainder when 53 is divided by x?
8
Let k = -51 + 73. Let o(t) = -7*t**2 + 47*t + 30. Calculate the remainder when o(6) is divided by k.
16
Suppose 4*f + 14 = 2. What is the remainder when (0 - 1) + 15 + f is divided by 7?
4
Suppose 5*m - 4*p = 1569, 0 = m - 0*p + 3*p - 329. What is the remainder when m is divided by 64?
61
Calculate the remainder when 18 is divided by 2*((-30)/(-4) - 4/2).
7
Let c(u) = -14*u - 4. Let t be c(1). What is the remainder when (390/9)/((-12)/t) is divided by 17?
14
Suppose 28*o + 147 - 1099 = 0. What is the remainder when 40 is divided by o?
6
Suppose -5*j + 80 = -23*l + 28*l, 2*j - l = 29. Calculate the remainder when 369 is divided by j.
9
Suppose 19 - 71 = -4*n. Suppose 7*s + 225 = 4*s. Let j = 80 + s. Calculate the remainder when n is divided by j.
3
Let f(c) = c**2 - 14*c + 16. Let s be f(14). Let t(k) = k**2 - 14*k + 11. Calculate the remainder when t(s) is divided by 22.
21
Suppose 47 = 11*j + 34 - 31. Calculate the remainder when (-2 - 24)*(-2)/4 is divided by j.
1
Suppose 0 = -2*s + 2, 10*w - 4*s = 6*w + 84. Calculate the remainder when 216 is divided by w.
18
Let t be 1410/(-35) - 4/(-14). Let u = t + 89. Let q = u + -18. What is the remainder when q is divided by 8?
7
Let p(w) = 17*w - 3. Let j = -40 + 41. What is the remainder when 49 is divided by p(j)?
7
Suppose -57 = -5*x - 2. Suppose -7*b + 118 = 4*g - 2*b, -b - 34 = -g. Suppose -o + 9 + g = 0. What is the remainder when o is divided by x?
8
Let r = -220 - -249. Let c = -2 - 0. What is the remainder when r is divided by 3/(0 + c/(-10))?
14
Let h = 1815 + -1795. What is the remainder when 433 is divided by h?
13
Let r = -659 + 672. What is the remainder when 203 is divided by r?
8
Let u(l) = -3*l**3 - l**2 + 92*l + 181. What is the remainder when 376/6 + (-2)/(-6) is divided by u(-2)?
12
Let h = -1265 + 1290. Calculate the remainder when h is divided by 2.
1
Let l(u) = -u**2 - 6*u - 4. Let h be l(-2). Suppose -3*s - f = -2*f - 350, 2*s + h*f = 252. Calculate the remainder when s is divided by 24.
22
Let n(i) = -12*i - 31. Let k be n(-8). Suppose 3*v - 2*g - 71 = 0, 3*g - k = 5*v - 183. What is the remainder when v is divided by 15?
8
Let x = 176 + -162. What is the remainder when 1399 is divided by x?
13
Let t = -26 + -8. Let n = 39 + t. What is the remainder when 7 is divided by n?
2
Suppose 0 = 2*d - 97 - 33. What is the remainder when d is divided by 14?
9
Let p(g) = 4*g**2 + 5*g + 6. Let x(y) = y + 1. Let a be x(-4). Let r(u) = 28*u - 5. Calculate the remainder when r(3) is divided by p(a).
25
Suppose 3*g = -3*n + 27, 1 - 4 = 3*g. Calculate the remainder when 197 is divided by n.
7
Let a = 0 + 5. Suppose 2*u + i = 6*u - 48, -5*u + 77 = 3*i. Calculate the remainder when u is divided by a.
3
What is the remainder when 543 is divided by (-240)/(-110) - -14 - (-6)/(-33)?
15
Suppose 3*g - p - 3 - 8 = 0, -5*g - p = -21. Suppose t - 75 = -2*m, g*t + 0*m = 5*m + 326. Calculate the remainder when t is divided by 28.
23
Suppose -3*n = 5*h - 4488, 0 = -5*n - 3*h + 5611 + 1853. Calculate the remainder when n is divided by 18.
15
Let l = -2088 + 2153. Calculate the remainder when 127 is divided by l.
62
Suppose 0 = 3*l + 2*l, 5*b - 235 = 4*l. Suppose 44 = -20*u + 284. Calculate the remainder when b is divided by u.
11
Let f(t) = -t**2 + 7*t + 13. Let w be f(16). Let k = w - -189. Calculate the remainder when k is divided by 30.
28
Let v be 15/35 - 81/(-7). What is the remainder when 45/(v/6 + -3 + 2) is divided by 25?
20
Let n(p) = 2*p**3 - 65*p**2 + 39*p - 38. Calculate the remainder when n(32) is divided by 85.
16
Let d(w) = -2*w**2 + 23*w - 21. Let a be d(10). Suppose z - 25 = -2*q, -18 = 2*z - 8. Let r = q - a. What is the remainder when 16 is divided by r?
4
Let h = -3209 + 3455. Calculate the remainder when h is divided by 60.
6
Suppose -7*r + 4*r + 15 = 0. Let q(n) = -n. Let b be 66/(-9) - (-2)/(-3). Calculate the remainder when q(b) is divided by r.
3
Suppose 2876 + 844 = 40*y. What is the remainder when 370 is divided by y?
91
Suppose -5*b + 17 = -c, -3 + 13 = -5*c. Calculate the remainder when -4 - (-43 + -5 + b) is divided by 7.
6
Suppose -11*x = -111 + 1. Let b = -13 - -28. What is the remainder when b is divided by x?
5
Let c(n) = -2*n + 10. Let p be c(-5). Suppose 10 + p = 5*x. Suppose -x = 2*j - 192. Calculate the remainder when j is divided by 32.
29
Let n = 11 + -12. Let d = 4 + n. Suppose 2*v - 45 - 106 = -d*k, -4*k = 4*v - 208. Calculate the remainder when k is divided by 16.
15
Let h(v) = 4*v**3 - 16*v**2 + v + 3. Let j(y) = -7*y**3 + 31*y**2 - 2*y - 5. Let r(p) = -5*h(p) - 3*j(p). Calculate the remainder when 63 is divided by r(13).
11
Let f(o) = -o + 92. Let z(v) = v**3 + v**2 - 2*v + 3. Let h be z(3). Let x = h + -15. Calculate the remainder when f(39) is divided by x.
17
Let m = -611 + 1220. What is the remainder when m is divided by 17?
14
Let v(q) = 24*q**3 - 1. Suppose -12*d - 45*d + 456 = 0. What is the remainder when v(1) is divided by d?
7
Let z be (-6)/(-10) - 2/(-5). Suppose 68*c - 1023 = 337. Calculate the remainder when 2/(81/79 - z) is divided by c.
19
Suppose -21*x + 513 = -663. What is the remainder when 246 is divided by x?
22
Suppose l - 3*b + 70 = 6*l, -4*l + 3*b + 83 = 0. Calculate the remainder when 150 is divided by l.
14
Calculate the remainder when 518/2 - (-8 - -1) is divided by 49.
21
Suppose 6*v - 8*v = -130. Let r = v + -56. What is the remainder when 12 is divided by r?
3
Let o(x) = -x**3 + 12*x**2 + 15*x + 16. Let m = 300 - 486. Let n be (-12)/42 - m/14. Calculate the remainder when o(n) is divided by 15.
12
Let a(x) = -9*x - 9. Let f be a(-5). Let y = 24 + -19. What is the remainder when (-4 - (-26)/6)*f is divided by y?
2
Let t(g) = g**3 + 33*g**2 - 2*g - 31. Calculate the remainder when 132 is divided by t(-33).
27
Suppose 6*i - 9*i = a - 20, 5*i - 18 = -a. Suppose 0 = 4*l + b - 358, 4*l = -l - b + 447. What is the remainder when l is divided by a?
20
Suppose 150*a - 142*a = 640. Calculate the remainder when 142 is divided by a.
62
Suppose -r = 2*i + 2*r - 25, 30 = i - 2*r. What is the remainder when i is divided by 15?
5
Suppose -6*f - 2*b = -f - 2, -2*f - 12 = 4*b. Let j(v) = f - 16*v - 3 + 13*v - 4. What is the remainder when 26 is divided by j(-4)?
5
Suppose i - 6 = -2*s + 5*i, 5*s + 3*i - 15 = 0. Suppose 3*b - 5*m - 65 = 0, -3*b - m + 13 = -28. Calculate the remainder when b is divided by s.
0
Let h be (-3)/18 - (-299)/(-6). Let d = h + 108. Calculate the remainder when d is divided by 16.
10
Suppose 48*m = 4147 - 1123. What is the remainder when 115 is divided by m?
52
Let i(u) = -37*u - 42. Let g be i(-3). Let d = g + 80. Calculate the remainder when d is divided by 19.
16
Let u = -286 - -295. What is the remainder when 23 is divided by u?
5
Suppose -70 = -5*a + 10. Suppose 20 = 4*l - l - 2*k, -3*l + 26 = k. Let r(j) = 9*j - 10. What is the remainder when r(l) is divided by a?
14
Suppose 9*i = -353 - 61. Suppose -o + 4*d + 45 = 0, 3*o - 135 = -0*o + 2*d. Calculate the remainder when o is divided by i/(-2) - (-5 - -5).
22
Suppose -26*n + 228 = -32. Calculate the remainder when 17 is divided by n.
7
Let q be (-4)/4*(-39 + 2). Let y = q - 15. Calculate the remainder when 42 is divided by y.
20
Let i(g) b