 - q. What is the remainder when 21 is divided by k?
1
Suppose 0 = -2*r + d + 5084, -5*r + 3*d + 17903 = 5195. What is the remainder when r is divided by 19?
17
Let a(d) = -3*d**2 - d - 6. Let q be a(0). Let w = 28 - q. What is the remainder when 33 is divided by 4*(w/8 - (-1 - -1))?
16
Suppose 46 = -227*u + 229*u. Suppose -37*z + 112 = -u*z. What is the remainder when 39 is divided by z?
7
Let h be (-1)/7 + (4 - (-5280)/14). Let v = -379 + h. What is the remainder when 43 is divided by v?
1
Let x(k) = k**2 + 10*k + 4. Let p be x(-10). Suppose 0 = -0*r + p*r - 8. Calculate the remainder when -1 - (-3)/r - 209/(-22) is divided by 6.
4
Let j(i) = i**3 + 5*i**2 + 7*i + 11. Let b(c) = -c**2 + 30*c - 31. Let u be b(29). What is the remainder when 35 is divided by j(u)?
8
Suppose 0 = h + 5*j + 404, -1662 = 9*h - 5*h - 3*j. Let i = 423 + h. Let u(a) = 22*a. What is the remainder when u(2) is divided by i?
8
Suppose 3*c = 0, 3*c + 2636 = -4*t + 8768. Let j = t + -888. Calculate the remainder when j is divided by 59.
55
Suppose 86 = 40*i + 6. Let r(q) = 16*q**2 - 7*q + 10. What is the remainder when 298 is divided by r(i)?
58
Let b = -129 - -191. What is the remainder when b is divided by (-28)/(-6)*(-36)/32*-4?
20
Let o = -9290 - -9633. Calculate the remainder when o is divided by 21.
7
Let q(y) = -y**3 + 9*y**2 - 7*y. Let i be q(8). What is the remainder when 135 is divided by 636/28 + i/28?
20
Suppose 9*c = 6*c + 48. Suppose -31*w + 6240 = -c*w. Calculate the remainder when w is divided by 42.
38
Let q(u) = -u**3 - 28*u**2 + 36*u. Let d be q(-31). Suppose 7*n - 11070 = -d. Calculate the remainder when n is divided by 12.
9
Let a be 32/60*312 - (-2)/(-5). Let n = a - 113. Suppose p + n + 51 = 3*k, 4*p + 164 = 5*k. What is the remainder when k is divided by 14?
8
Let h(d) = -d**3 + 9*d**2 + d + 6. Suppose 9*m = -20 + 164. Calculate the remainder when h(8) is divided by m.
14
Suppose z = 73 + 46. Suppose -1797 - 2691 = -63*w - 124*w. What is the remainder when z is divided by w?
23
Suppose 0 = -3*h - 2*o + 505, 0*h = -4*h + o + 688. Let a = h - 21. What is the remainder when a is divided by 20?
10
Let u be ((-24)/(-20))/(2/25). Suppose -44 = -5*c - 4*z + 5*z, -2*c + u = -3*z. Let n = 61 - c. Calculate the remainder when n is divided by 14.
10
Suppose 0 = 2*j - 433 + 419. Suppose -4*v + 29 = -j. What is the remainder when v is divided by 4?
1
Let u = 4443 - 4178. Calculate the remainder when u is divided by 38.
37
Let o be 12/(-1 + 5) - -1. Calculate the remainder when (2/(-6)*0)/o + 18 is divided by 10.
8
Suppose -25*a - 11 = -26*a. Calculate the remainder when (7 - 18/3) + a is divided by 2.
0
Suppose -8723 - 944 = -5*g - k, 2*g - 3874 = -4*k. Calculate the remainder when g is divided by 13.
9
Let g be -2 + 3 - (-2)/(6/33). Suppose g*d = 84 - 12. What is the remainder when 59 is divided by d?
5
Suppose v = 3*f - 741, -3*v + 283 = 2*f - 189. Calculate the remainder when f is divided by 21.
14
Let t(w) = -w**2 - 10*w - 5. Let l be t(-9). Suppose 15 = -l*r + 5*v + 3, 2*v = -2*r - 6. What is the remainder when 118 is divided by r + 4 + 2 + -2 + 10?
8
Let v = -161 - -235. Suppose 511*a = 294*a + 7161. What is the remainder when v is divided by a?
8
Let o = -11791 + 11996. What is the remainder when 624 is divided by o?
9
Suppose 62*s = 22*s + 1880. Calculate the remainder when 53 is divided by s.
6
Suppose 6*o = 2*o - 3*p + 381, 180 = 2*o - 2*p. What is the remainder when o is divided by 90?
3
Suppose -537*g + 671*g = 9782. Calculate the remainder when g is divided by 1.
0
Let y(c) = c + 12. Let p be y(-9). Suppose 47 + 487 = p*j. Suppose 3*t + 5*b = 9*b + 70, -50 = -t - 4*b. What is the remainder when j is divided by t?
28
Suppose 113 + 67 = 6*t. Calculate the remainder when 39 is divided by 1/5 - (-594)/t.
19
Suppose 0 = -2*o + 4*o - 12. Suppose 5*i - 204 = 4*q, 2*q + 100 - 20 = 2*i. Calculate the remainder when i is divided by ((-16)/3)/((-2)/o).
12
Let j = -5 - -1. Let x(r) = -3*r**3 - 2*r**2 + 2*r + 3. What is the remainder when (-4600)/(-110) + j/(-22) is divided by x(-2)?
12
Let c = -1557 - -1635. Suppose -v - 4*v = -210. What is the remainder when c is divided by v?
36
Suppose -6*x - 140 = q - 11*x, -3*q - 460 = -5*x. Let i = 322 + q. Calculate the remainder when i is divided by (-66)/9*(-15)/2.
52
Let x(h) = 44553*h**2 - 20*h + 3 - 5*h - 44533*h**2. What is the remainder when x(4) is divided by 32?
31
Suppose -b + 2 = -0*b. Suppose -b*j = -5*j + j. Suppose -3*i = -2*w - 13, -5*i + 31 = -j*w - w. What is the remainder when 24 is divided by i?
3
Let i = 3301 - 3238. Let j = 4 + -2. Suppose a - l = -5*l + 36, 0 = -j*a + 4*l + 12. What is the remainder when i is divided by a?
15
Suppose -4*f + 90 = 5*d + 13, 4*d - 62 = -3*f. Suppose d*b - 336 = 9*b. What is the remainder when 206 is divided by b?
38
Let a = -19911 + 24812. What is the remainder when a is divided by 38?
37
Let f = -167 - -169. Suppose 0 = 2*k - 5*k - f*x + 192, 0 = -3*k - 3*x + 189. What is the remainder when 120 is divided by k?
54
Let m be (-10)/25 + (-464)/(-10). Suppose -30 = m*u - 51*u. What is the remainder when 39 is divided by u?
3
Suppose -62*g + 393*g = 1819677 + 684007. What is the remainder when g is divided by 7?
4
Let n = 35 + -16. Let z = n + -7. What is the remainder when z is divided by 15/(105/28)*14/8?
5
Let j(s) = 9*s + 1. Let a be (-148)/(-222) + (-146)/(-6). Suppose a*l + 25 = 75. What is the remainder when j(1) is divided by l?
0
Let n(x) = -2*x - 9 + 4 + 7 + 11. Calculate the remainder when n(-13) is divided by 14.
11
Let c(g) = 3*g - 2. Let u be c(2). Suppose 3*q + 108 = u*v, -2*v - v + 5*q + 70 = 0. Calculate the remainder when 1*-2 + (16/2 - -113) is divided by v.
29
Suppose 0 = v - 4, 3*g - 606 = 5*v + 109. What is the remainder when g is divided by 47?
10
Let b be (11/(385/56))/((-2)/10). What is the remainder when 128 is divided by -17*(1 + (b - 6/(-1)))?
9
Suppose -6*y + 20 = 3*n - y, -3 = -3*y. Suppose 0 = -n*t + 138 - 8. Suppose x - t + 16 = 0. Calculate the remainder when x is divided by 10.
0
Let l(i) = 7*i**2 - 69*i - 9. Let f be l(10). Let b = -1 - -12. What is the remainder when -4 + f - 15*(-55)/15 is divided by b?
8
Suppose 62 = 9*w + 26. Suppose -c - 4*k = -w*c + 288, -4*c + 385 = -5*k. Suppose 464 + c = 12*n. What is the remainder when n is divided by 5?
2
Suppose 73 = 4*w - a + 15, 0 = 4*a + 8. Suppose j - 4*g = 2 + w, -3*j - 2*g + 34 = 0. Calculate the remainder when 18 is divided by -1 + 6*j/9.
4
Let z(v) = v**2 + v + 33. Let l be z(0). Let q = l + -10. Suppose 0 = -c + u + 14, 2*c + 26*u + 140 = 0. What is the remainder when q is divided by c?
7
Let z(o) = o**2 - 5*o + 9. Suppose 4*k - 5 = x, 3*x + 1 = -5*k + 3. What is the remainder when ((-30)/12 + k)/(3/(-148)) is divided by z(6)?
14
Let s(q) = 9*q + 219. Let u(y) = 22*y - 5. What is the remainder when u(4) is divided by s(-22)?
20
Let z = -177 - -180. Calculate the remainder when 74 is divided by (-2 + z/2)/((-3)/114).
17
Suppose 0 = -5*a + 2*c + 11032, 6*c + c - 4405 = -2*a. What is the remainder when a is divided by 48?
46
Let j(m) = 9*m**2 + 461*m + 106. Suppose -2*u - 2 = -0. Let w(n) = -n + 1. What is the remainder when j(-51) is divided by w(u)?
0
Suppose -17*z - 232 = -25*z. Suppose 0 = z*g + 153 - 1110. What is the remainder when g is divided by (1 - -1) + -2 - -18?
15
Calculate the remainder when (-187)/(-22) + -8 + (-4890)/(-12) is divided by 155.
98
Suppose -68*y = -57*y - 3454. Let s = y + -292. Calculate the remainder when 36 is divided by s.
14
Suppose 4*k - 358 = 2*a, 5*k - 45*a = -50*a + 440. What is the remainder when k is divided by 21?
5
Let i(b) = b**2 + 40 + 75 - 22 - b**3. Suppose 3*s - 4*w - 100 = 0, 2*s - 42*w = -45*w + 27. Calculate the remainder when i(0) is divided by s.
21
Calculate the remainder when 520 is divided by 3006/42*217/31.
19
Let w = 821 - 814. Suppose r + 0*r - 129 = 0. What is the remainder when r is divided by w?
3
Suppose -106 - 171 = -n. Let f = 374 - n. What is the remainder when f is divided by 35?
27
Let b = -2252 + 2261. Calculate the remainder when 298 is divided by b.
1
Suppose 2*r - 20*r = -126. Calculate the remainder when 23077 is divided by r.
5
Suppose -7*l + f = -9*l + 62, 0 = -2*l - 2*f + 60. What is the remainder when l is 