 when l is divided by x.
1
Suppose 20 + 44 = 16*y. Suppose -2*f + 26 = -4*l - 10, y*l = -f + 24. Calculate the remainder when 33 is divided by f.
13
Let n(p) = -p**3 + 20*p**2 - 17*p - 23. Let g = 402 - 383. Let x(s) = 57*s**2 + s - 1. What is the remainder when x(1) is divided by n(g)?
12
Let t(r) = -8 + 77*r**2 - 16 + 28 - 4*r - 8. What is the remainder when 229 is divided by t(-1)?
75
Let d(t) = -t**3 + 22*t**2 + 2*t - 6. Let y(s) = s**3 + 8*s**2 - 2*s + 11. Calculate the remainder when d(22) is divided by y(-8).
11
Suppose 5*z - 7*z + 4 = 0. What is the remainder when (21/(-6))/(-7) - 17080/(-112) is divided by z?
1
Let v = 1540 + -1481. Let y = 67 - 58. Calculate the remainder when v is divided by y.
5
Suppose 4 = 2*l - 4. Suppose -97*p + 2208 = -103*p. Let z = -363 - p. Calculate the remainder when z is divided by l.
1
Calculate the remainder when 402 is divided by 5 + (-387)/(-12) - (-8)/(-24 - 8).
32
Let b(a) = -2*a - 10. Let r be b(-6). Suppose r*q - 27 = -3*l, -6*l = 2*q - 7*l - 31. Calculate the remainder when 102 is divided by q.
12
Let n(v) = -69*v - 4. Let p be n(-2). Let k = -47 + p. What is the remainder when k is divided by 45?
42
Suppose 0 = 27*q - 130 - 977. What is the remainder when 104 is divided by q?
22
Calculate the remainder when (-81 + 12/4)*((-4)/8)/1 is divided by 28.
11
Let h(u) = -u**2 - 6*u - 6. Let c be h(-6). Suppose 391*v - 394*v + 129 = 0. Calculate the remainder when v is divided by (-2)/(-10)*c*-10.
7
Let s(p) = p**3 - 7*p**2 + 25*p - 20. What is the remainder when s(9) is divided by 18?
7
Let a = 1033 + -892. What is the remainder when 580 is divided by a?
16
Let a = -226 + 161. Let v = -64 - a. Calculate the remainder when 35 is divided by v/4 - 255/(-20).
9
Let k = -1610 - -1692. Calculate the remainder when 1636 is divided by k.
78
Let l = -569 - -313. Let b = 119 - l. Suppose -b = 3*v - 6*v. Calculate the remainder when v is divided by 18.
17
Let c = -10 + 13. Suppose 2*w - c = 7. Calculate the remainder when 73 is divided by w.
3
Let r be ((-3)/(-8) + 1/(-8))*60. Calculate the remainder when (-1 - 5936/(-20)) + (-12)/r is divided by 60.
55
Suppose -149*a - 966 = -42*a - 2571. Calculate the remainder when 77 is divided by a.
2
Let q(t) = -15*t + 863. Calculate the remainder when 1368 is divided by q(51).
94
What is the remainder when (-49 + 46)/((-730)/(-245) + -3) is divided by 124?
23
Suppose -5*g + 70 + 705 = 0. Let c = 2484 + -2444. What is the remainder when g is divided by c?
35
Let k(z) = -z**3 - 6*z**2 - 12*z + 24. Suppose -5*o + 16 = -4*j - 3*o, 26 = -j - 5*o. Calculate the remainder when k(j) is divided by 41.
14
Suppose -2*p + 92 = -o - 109, 3*o = 2*p - 203. Suppose -5*c + 53 = 2*v, 0 = -4*v - 9*c + 5*c + p. What is the remainder when 107 is divided by v?
11
Let g = -9050 - -10520. Calculate the remainder when g is divided by 415.
225
Suppose 98*c + 3 = 99*c. What is the remainder when (c/(-2))/(-1 - (-140)/152) is divided by 7?
5
Let q be (-20)/(-15) - (-772)/(-12). Let y = 61 + q. What is the remainder when 71 is divided by (y - -3 - -1)/((-8)/(-76))?
14
Let a be (-15)/(-2)*-2*2/(-6). Let n be 2*a/40 + 1117/(-4). Let d = 458 + n. Calculate the remainder when d is divided by 36.
35
Suppose 2*w - 4*h - 324 = 0, -4*w = 9*w - 2*h - 2010. Calculate the remainder when 596 is divided by w.
134
Suppose -2*f = -5*f + 279. What is the remainder when f is divided by (((-56)/6)/2)/((-16)/48)?
9
Suppose -2036 = -18*h + 6982. Calculate the remainder when h is divided by 21.
18
Let q be -1 - (10 - (-2)/2). Let v = q - -90. Calculate the remainder when v is divided by 20.
18
Suppose -3*n = 4 - 19. Suppose -4*a + 97 - n = 0. Let g = 64238 + -64226. What is the remainder when a is divided by g?
11
Suppose 0 = -27*c + 32*c + 5. Let i(p) = 19*p**2 + 20*p + 19. What is the remainder when 447 is divided by i(c)?
15
Let x(z) = z**3 - 45*z**2 + 161*z + 142. Calculate the remainder when 901 is divided by x(41).
8
Let s(f) = 13*f**2 + 67*f - 293. What is the remainder when s(4) is divided by 165?
18
Let l = 8384 - -1799. Calculate the remainder when l is divided by 15.
13
Suppose -1140 = 34*z - 40*z. Let q(r) = -9*r + 16. What is the remainder when z is divided by q(0)?
14
Suppose -s + 145 = 5*c + 2*s, -2*s = 3*c - 87. Suppose u - 14 = 2*b + 211, 0 = -u + 3*b + 224. Calculate the remainder when u is divided by c.
24
Let o(q) = 2*q**2 + 285*q + 5143. What is the remainder when o(-123) is divided by 41?
18
Let p = -65 - -69. Let u(m) = m**3 - 2*m**2 + 9*m - 8. What is the remainder when u(p) is divided by 22?
16
Suppose -328 = -5*z - 2*k + 278, k = z - 117. What is the remainder when 1194 is divided by z?
114
Suppose 2*u + 18 = 2*q - 0*u, 33 = 5*q - 2*u. Let a be (-4 + q)/((-2)/(-8)). Calculate the remainder when -205*2*a/(-20) is divided by 17.
14
Let r = -1435 - -1450. Suppose -5*x = 20 - 5. Calculate the remainder when x - 0 - (-1350)/9 is divided by r.
12
Suppose -2*o - 326 = 3*p, -p - 546 = 4*p + 4*o. Let i = p - -416. Calculate the remainder when i is divided by 80.
70
Suppose 6*l - 4*l - 352 = -4*u, -2*l = -2*u - 334. Let h(y) = 11*y - 6. What is the remainder when h(8) is divided by l/8 - ((-3)/(-12) - 0)?
19
Let m be 20/14 + ((-1428)/(-98) - 14). Suppose v = -4*u + 62, -v = 2*v - m*u - 186. What is the remainder when 185 is divided by v?
61
Let y(b) = -565*b + 353. Calculate the remainder when 1843 is divided by y(-1).
7
Suppose 15*q = 19*q + 132. Let j = q + 66. Suppose 31*i + 34 = j*i. What is the remainder when 82 is divided by i?
14
Suppose -6*o - 326 = -173 - 189. Calculate the remainder when 2066 is divided by o.
2
Let w = -6046 + 6868. What is the remainder when w is divided by 261?
39
Let f(q) = q**2 + 8*q - 8. Let g be f(-9). Let w be (-5)/10 + (-57)/6 + g. Let m(a) = -2*a - 4. Calculate the remainder when 36 is divided by m(w).
8
Suppose 12*p - 452 = 580. Let v(w) = -13*w - 29. What is the remainder when p is divided by v(-4)?
17
Let q = -183 + 193. Suppose 0 = -3*c + 9 + 15. Suppose -10*s + 14 = -c*s. Calculate the remainder when q is divided by s.
3
Suppose 305 = -p + 312. Let z(o) = 4*o - o**3 + 0*o**2 - 3 + 2 + 2*o**2. What is the remainder when p is divided by z(3)?
1
Suppose -32*n + 6*n = 446 - 6634. Let j = 20 - 17. What is the remainder when n is divided by j?
1
Let m = -36 + 32. Let c(h) = -h**2 - 5*h. Let r be c(m). Suppose 0 = -5*g + 4*q + 59, 48 = 4*g - 0*q - r*q. Calculate the remainder when g is divided by 4.
3
Suppose -i + 2*v = -35, -17 + 60 = i + 2*v. Let u(r) = -65*r**2 + 1879*r + 181. What is the remainder when i is divided by u(29)?
4
Suppose -3*b - 112 + 475 = 0. Let q = b - 113. Calculate the remainder when (-30 + -1)/(q - 9) is divided by 8.
7
Suppose 5*d = 5*c - 8*c + 64, -c + 8 = -d. Suppose -77 = -2*u + 5*x, -u + 49 - c = -2*x. What is the remainder when u is divided by -20*(9/(-18) - 0)?
6
Let l(o) = o**3 + 26*o**2 - 26*o + 34. Let n be l(-27). Let x(s) = 2*s**3 - 11*s**2 - 20*s + 9. What is the remainder when 45 is divided by x(n)?
13
Suppose -p = -2*l - 46, 0 = -3*p + 5*l - 9*l + 128. Calculate the remainder when p is divided by ((-450)/(-60))/((-18)/(-24)).
4
Suppose -4*n - n + 5*j + 115 = 0, n - 3*j - 31 = 0. Let y = -10020 - -10042. What is the remainder when y is divided by n?
3
Let l = 22001 + -21850. Calculate the remainder when 781 is divided by l.
26
Let b be 1*-1 - (6 - 163)*1. Suppose -3*g + 165 = 3*t, -3*t + b = 5*g - 11. What is the remainder when t is divided by 26?
2
Suppose 0 = -15*v + 20*v + 5*m - 1200, -3*v + 728 = m. What is the remainder when v is divided by 110?
24
Let m(w) be the third derivative of 0*w - 7/3*w**3 - 2*w**2 - 11/12*w**4 + 0 + 1/30*w**5. Calculate the remainder when m(13) is divided by 4.
2
Let h = -59 + 126. Suppose -4*l - h = -5*l - 2*r, 6 = -3*r. What is the remainder when 121 is divided by l?
50
Let q be 68/(-10)*75/(10/(-2)). Let j = -302 - -329. What is the remainder when -4 + q + 0 + -1 is divided by j?
16
Suppose 2*l + 69*i - 22430 = 73*i, 0 = -5*l - 4*i + 56089. Calculate the remainder when l is divided by 102.
99
Let w(x) = x**2 + 2*x - 2. Let j be 2/(206/68 + -3). Suppose -j = 5*a - 9*a. What is the remainder when a is divided by w(2)?
5
Let a be (-80)/5*3/(-6). Suppose 2*j = -y + 11, a*y - j - 99 = 3*y. Suppose 116 =