lculate the remainder when 63 is divided by x.
3
Let u(d) = d**2 + d + 1. Let r be u(-2). Let j = 15 - r. Calculate the remainder when j is divided by (1 - 0)*-1*-5.
2
Suppose 0 = -161*o + 154*o + 91. What is the remainder when 10/4*(-74)/(-5) is divided by o?
11
Let q be 2/4 + (-1547)/26. Let m = q + 89. Let x = m + 0. What is the remainder when 58 is divided by x?
28
Suppose 2*h - 20 - 162 = -5*i, 3*i = -3*h + 102. Calculate the remainder when i is divided by (-10)/3*(-2 + -1).
8
Suppose 5*i + 5*f - 495 = 455, 0 = i - 2*f - 199. Let r = i + -96. Calculate the remainder when r is divided by 11.
9
Let s be (-28)/(-8) + (-4 - 18/(-4)). Suppose -t = s*t - 10, -5*t = -2*x + 24. Calculate the remainder when 66 is divided by x.
15
Let f = 86 - 58. Let s = -39 - -43. Suppose -2*v - 16 = -s*c, c - 18 = -0*c - 3*v. Calculate the remainder when f is divided by c.
4
Let t be (2/8)/(1/28). Suppose -2*k + 7 = -t. Calculate the remainder when 20 is divided by k.
6
Suppose -5*w + 6*k = k - 280, 4*k + 170 = 3*w. Let q be -4*(-25)/20*14. Suppose -o = 4*o - q. Calculate the remainder when w is divided by o.
12
Suppose -2*b - 16 - 10 = -4*g, 3*g + 4*b + 8 = 0. Suppose -5*m - 194 = r - g*r, 4*m + 4 = 0. What is the remainder when r is divided by 17?
12
Suppose -8*x + 1236 = -1908. Calculate the remainder when x is divided by 65.
3
Let b be ((-14)/(-3))/((-24)/18 + 2). Let t(u) = u - 6. Let m be t(6). Suppose -5*l + b + 3 = m. Calculate the remainder when 5 is divided by l.
1
Let v(h) = -h**3 - 10*h**2 - 30*h + 6. What is the remainder when 272 is divided by v(-7)?
65
Suppose -695*b + 754*b = 6254. Let z(d) = d**2 + 6*d - 4. Let f be z(-6). Calculate the remainder when b is divided by (-214)/(-8) - 1/f.
25
Let n = -325 + 338. What is the remainder when 64 is divided by n?
12
Let i(l) = 2*l**2 + 10*l + 8. Let j be i(-4). Suppose j = -5*a + a + 76. What is the remainder when a is divided by 10?
9
Suppose -4*b - 26 = -10. Let p(c) = -c**2 - 8*c. Calculate the remainder when 63 is divided by p(b).
15
Let h(y) = -17*y**2 - y + 2. Let r be h(-2). Suppose -115 - 54 = 4*a - 3*b, 38 = -a + 5*b. Let p = a - r. Calculate the remainder when 39 is divided by p.
18
Suppose -2*c + 212 = 3*n + 65, 4*n - 5*c = 196. Calculate the remainder when 340 is divided by n.
46
Suppose -3*h = 2*h - 60. Suppose 0 = -2*z + 8*z. Calculate the remainder when h is divided by 36/9 + (z - -1).
2
Suppose 5*b = 2*b + 120. Suppose -5*x + b + 100 = 0. What is the remainder when (x/21)/((-2)/(-45)) is divided by 16?
14
Let n = -38 - -98. Suppose 17*l = 12*l + n. What is the remainder when 44 is divided by l?
8
Let b = 23 + -70. Let g = 50 + b. What is the remainder when g is divided by (7 - 1)/(-3 - -5)?
0
Suppose 4*d + 45 = 3*r - 0*r, -5*d - 4*r - 64 = 0. Let i(y) = -6*y - 21. What is the remainder when i(d) is divided by 9?
6
Let v(j) = j**3 + 7*j**2 + j + 2. Let s be v(-3). Calculate the remainder when 2758/s + 2*(-2)/(-20) is divided by 9.
7
Let j(r) = -2*r**3 - 6*r**2 - 10*r + 2. Calculate the remainder when 217 is divided by j(-3).
25
Let c(y) = 28*y**3 + y**2 - y + 1. What is the remainder when c(1) is divided by 23?
6
Let n(u) = -u**3 + 2*u**2 - u - 174. Let l(q) = q**2 + q. Let o be l(-1). Let f be n(o). What is the remainder when (6/(-9))/(4/f) is divided by 11?
7
Let a = 3 - 3. What is the remainder when 15 is divided by a/(-4) + -4 - -9?
0
Let v(j) be the second derivative of -11*j**3/6 - 71*j**2/2 - j - 17. What is the remainder when v(-12) is divided by 16?
13
Suppose 0 = 3*z - 6*z. Suppose z*l + 4 = r - 4*l, 4*l + 20 = 5*r. Suppose -r*j + 9 = -3. Calculate the remainder when j is divided by 3.
0
Let c(a) = 8*a**2 + 2*a. Let f = -17 + 15. Let v be c(f). Let t = 103 - v. Calculate the remainder when t is divided by 19.
18
Let s(m) = -m**3 + 13*m**2 - 5*m + 5. Let c(t) = 7*t**3 + t**2 + 3*t - 2. Let v be c(1). What is the remainder when s(v) is divided by 41?
38
Let l = 376 - 270. What is the remainder when l is divided by 46?
14
Let l(v) = -2*v - 4. Let x be l(-4). Calculate the remainder when 20 is divided by 264/30 + x/(-5).
4
Suppose -5*m - 5*r + 179 = 39, -3*r = 4*m - 108. Calculate the remainder when 166 is divided by m.
22
Let p = -702 + 728. Let i(q) = -69*q + 7. Calculate the remainder when i(-4) is divided by p.
23
Calculate the remainder when 5 + 64/(-8) + -4 + 113 is divided by 27.
25
Let v = -128 - -142. What is the remainder when 80 is divided by v?
10
Suppose -5*l + 94 = 24. Calculate the remainder when 83 is divided by (7 - -2)/(6/l).
20
Let s(k) = 15*k**2 + 26*k - 3. Calculate the remainder when s(-3) is divided by 33/4 - (-1)/(-4).
6
Suppose 3207 = 5*i - 4*y + 58, -4*i + 2513 = 3*y. Calculate the remainder when i is divided by 42.
41
Suppose 0 = -3*v + 6*v - 81. Let t(c) = 48*c + 21. Let l(h) = 7*h + 3. Let g(r) = v*l(r) - 4*t(r). Calculate the remainder when 47 is divided by g(-5).
11
Suppose 2*p - 72 = -m + 67, -433 = -3*m + 2*p. What is the remainder when m is divided by 7?
3
Let r(j) be the third derivative of j**5/60 + j**4/4 - j**3/3 - 6*j**2. Calculate the remainder when 8 is divided by r(-7).
3
Let o be ((-45)/20)/(6/32). Let i be o/16 - 206/(-8). Suppose 0 = y + 3*s - 0*s, -s + i = 2*y. What is the remainder when 56 is divided by y?
11
Let s = -170 + 182. Calculate the remainder when 70 is divided by s.
10
What is the remainder when 210 is divided by 64 + -3*(3 + -2) - 7?
48
Let b be 5 - (-3 + 3 + 2). Suppose -b*u - 10 = -49. Calculate the remainder when 23 is divided by u*(4/4 + 0).
10
What is the remainder when (-12)/((-1260)/3475) + (-4)/42 is divided by 18?
15
Suppose 2*c = -6, 2*v + 32*c = 36*c + 310. What is the remainder when 1487 is divided by v?
146
Let q(g) = g**2 + 6*g - 5. Suppose 2*v = -2*r + 2, -2*v - 3*v = -3*r + 35. Let o = 14 - v. What is the remainder when o is divided by q(-8)?
7
Let q(g) be the third derivative of -3*g**6/20 - g**5/60 + g**4/8 + g**3/2 - 17*g**2. What is the remainder when 28 is divided by q(-1)?
11
Let v = 252 - 219. Calculate the remainder when 55 is divided by v.
22
Let z(a) = -a + 2. Let y be z(-15). Let t = y - 6. Calculate the remainder when t is divided by 3.
2
Calculate the remainder when 88 is divided by (7488/(-22))/(-13) + 4/(-22).
10
Suppose 2 = h - 1. Suppose -345 = -8*a + h*a. Calculate the remainder when a is divided by 24.
21
Let s be (6/6)/(1/(-6)). Let x(p) = -2*p - 8. Let n be x(s). Suppose n*h - 3*h = 4*v - 21, -3*v = h - 14. What is the remainder when 17 is divided by v?
2
Let a be (2/(-3))/(2/(-36)). Suppose -360 = -0*z - a*z. Suppose 14 = 2*n + 2*r, 2*n + 6*r - r - 2 = 0. What is the remainder when z is divided by n?
8
Let h(d) = 3*d - 11 - 12*d - 5*d + 16 - 2*d**2. What is the remainder when h(-7) is divided by 4?
1
Let o = 25 - 8. Calculate the remainder when 2/((-8)/4)*-1 + 86 + -22 is divided by o.
14
Let t = -63 - -80. Calculate the remainder when 327 is divided by t.
4
Let k(h) = 2*h**3 + 2*h**2 + 3*h + 80. Let n be k(0). Let i = 86 + n. What is the remainder when i is divided by 14?
12
Let c(f) = 104*f. Let k be c(-1). Let t be k/10 - (-4)/10. What is the remainder when 7 is divided by (t/(-4))/((-8)/(-16))?
2
Suppose 0 = -3*y + 4*p + 100, -5*p = y - 19 - 27. Suppose -c + 4*c = y. What is the remainder when (-2)/6*1*-69 is divided by c?
11
Let n = 28 + 38. What is the remainder when n is divided by 35?
31
Let d(f) = -3*f**2 - 10*f - 7. Let b be d(-3). Let v(y) = y**3 + 6*y**2 + y - 3. What is the remainder when 49 is divided by v(b)?
24
Let m(f) = 6*f + 5. Let b(x) = -3*x - 3. Let d(h) = 7*b(h) + 4*m(h). Suppose -9*i = 27*i - 216. Calculate the remainder when i is divided by d(1).
0
Suppose -6 - 6 = -4*o. Suppose 3*j = 3*x + 33, -3*x = -o*j - x + 33. Let g(h) = 43*h**2. What is the remainder when g(-1) is divided by j?
10
Let g be (-7 + 7)/((-6)/(0 + -3)). Suppose 0 = l - 4*k - 8, 2*l + 3*k - 2*k - 34 = g. Calculate the remainder when 110 is divided by l.
14
Suppose 8*r - 390 = 3*r. What is the remainder when 10 is divided by 1 + 32/18 + r/351?
1
Let n(s) = -s + 8. Let b be n(6). Suppose -99 = -b*o - o. What is the remainder when o is divided by 21?
12
Let h(o) = -9*o - 16. Let u be h(5). Let i = u + 103. What is the remainder when 122 is divided by i?
38
Let q(t) = 6*t + 4. Suppose -79 = -19*