
3
Let w = 72 + -195. Let o = -113 - w. What is the remainder when 49 is divided by o?
9
Let u = -3957 + 4090. Calculate the remainder when 1454 is divided by u.
124
Suppose -34*u - 715 = -16*u - 7591. Calculate the remainder when 1147 is divided by u.
1
Suppose -6154 = -786*m + 752*m. What is the remainder when 3979 is divided by m?
178
Let p(c) = 21*c - 228. Let k be p(11). What is the remainder when 23/(k/(-21)*-7) is divided by 12?
11
Calculate the remainder when (1*30984/32)/(9/12) is divided by 425.
16
Suppose -2*l - 275 = j + 40, 0 = -4*j + 5*l - 1312. Let d = j - -451. What is the remainder when d is divided by 65?
63
Suppose -9 = 3*v - 24, 0 = -d + 4*v - 21. Let o be 10/8*(3 + (d - -450)). Calculate the remainder when -2 - (o + 0)/(-5) is divided by 14.
13
Suppose 5*x - 22 - 18 = 0. Suppose -188 = 4*i + 4*u, i + 41 = -u + 3*u. Let h = i - -68. Calculate the remainder when h is divided by x.
7
Suppose 5*k - 386 = 29. Let f = k + -68. Suppose 2*b - f - 163 = 0. Calculate the remainder when b is divided by 24.
17
Let x(z) be the second derivative of 11*z**4/4 - z**3/6 + z**2/2 + 11*z. Let v(c) = 6*c - 138. What is the remainder when x(2) is divided by v(25)?
11
Suppose -5*a + 43 = 2*t - 2, 4*a + 79 = 3*t. What is the remainder when (625/30)/t - (-2683)/6 is divided by 41?
38
Suppose -2*m = 2*u - 8, -9 = -u - 7. Suppose -m = -n + f, -n - f + 14 - 2 = 0. What is the remainder when 44 is divided by n?
2
Let w = 374 + -372. Suppose -3*r + w*r = 4*j - 38, 2*j - 5*r = 8. Calculate the remainder when 9 is divided by j.
0
Let n(l) = 56*l + 3414. What is the remainder when n(-48) is divided by 48?
6
Suppose -4*h - 3*n = 2*n - 120, 0 = 3*n. What is the remainder when h is divided by (-13)/(5 + -10 - -4) - 5?
6
Suppose -11*r - 2*k = -7*r - 374, 2*k - 2 = 0. Suppose r*z - 92*z = 29. What is the remainder when 171 is divided by z?
26
Let v(m) = m**3 + m**2 + 10. Suppose r - 2*g + 3 = 5, 2*r + 3*g + 3 = 0. Suppose 2*c - c - 29 = r. What is the remainder when c is divided by v(0)?
9
Suppose 1179 = 18*k - 1125. Let x = k - 64. What is the remainder when 254 is divided by x?
62
Suppose 240 - 480 = -30*q. What is the remainder when 325 is divided by q?
5
Suppose -83*p + 94*p - 1420 - 4476 = 0. Calculate the remainder when 1082 is divided by p.
10
Suppose -3 + 1 = -o. Suppose 0 = 2*c - 4 - o. What is the remainder when 31 + (2*-3*4/(-8) - -1) is divided by c?
2
Suppose 11*z - 528 = 7*z. Let x = -68 + z. Let c = 63 + -41. What is the remainder when x is divided by c?
20
Let a = -4950 - -5038. Calculate the remainder when 965 is divided by a.
85
Suppose -5*x = 5*h - 715, 5*h - h - 426 = -3*x. Let i = -120 + x. What is the remainder when 76 is divided by i?
24
Let h(x) = -x**3 - 4*x**2 + 15*x + 8. Let f be h(-5). Let o = 73 + f. Let z(r) = -r**3 + 6*r**2 - 4*r + 3. What is the remainder when o is divided by z(5)?
7
Let h = -1446 + 1632. What is the remainder when 1105 is divided by h?
175
Suppose -26941 = -13*q + 37*q - 38845. What is the remainder when q is divided by 156?
28
Suppose q + 10 = 2*g, 2*q + q = -3*g - 12. What is the remainder when 1138 is divided by 3/((-365)/(-670) + q/12)?
66
Let o(h) = 5*h + 15. Let q(w) be the first derivative of w**2/2 + 4*w + 2. Let a(t) = -4*o(t) + 15*q(t). What is the remainder when 27 is divided by a(-1)?
2
Let u = -282 - -438. Suppose u*n - 152*n = 96. Let w = 75 + -30. What is the remainder when w is divided by n?
21
Let z = -208 - -210. Suppose -m + 3*j + 11 = 0, 3*m - 11 = z*j + 36. What is the remainder when 338 is divided by m?
15
Suppose -u - u + 5*l + 43 = 0, -4*u + 31 = l. Suppose -4*m - 135 = -u*m. Let v(f) = 2*f**2 + 94*f + 357. What is the remainder when m is divided by v(-43)?
1
Suppose 17 = -u + 3*n, n - 3*n = -5*u - 33. Let z(l) = l**2 + 5*l + 5. Calculate the remainder when 524/10 - (-6)/(-15) is divided by z(u).
2
Suppose -4*n + 3*k = 1838, 3*n - 6*n - 1378 = -2*k. Let y = -432 - n. What is the remainder when 203 is divided by y?
21
Let m(b) = 33*b**3 + 3*b**2 - 2*b. Let p(r) = 164*r**3 + 14*r**2 - 10*r. Let s(v) = 11*m(v) - 2*p(v). What is the remainder when s(1) is divided by 4?
2
Let h(i) = 23*i**2 + 49*i - 13. Let l be h(-6). Let d = -439 + l. What is the remainder when 162 is divided by d?
80
Suppose 36*i = 38*i + 8*w - 1536, 5*i - 3840 = -2*w. Calculate the remainder when i is divided by 114.
84
Let m(u) = -u**2 - 43*u + 144. Let n be m(3). Suppose 148 = b - 5*y - 0*y, -n*y = -4*b + 564. Calculate the remainder when b is divided by 35.
33
Suppose -94*s + 206*s - 896 = 0. What is the remainder when 627 is divided by s?
3
Suppose -6*d + 5*q = -2*d - 1508, 1906 = 5*d - q. Suppose 2*j + 478 = 7*x + 428, -4*x = j - 65. What is the remainder when d is divided by x?
10
Calculate the remainder when (((-143)/(-2))/(-1))/((-32)/64) - -5 is divided by 53.
42
Let r be ((-425)/10)/((-2)/(-4)*1). Let w = r - -139. Calculate the remainder when w is divided by 16.
6
Let f = 284 - -67. Let k = f - 334. Calculate the remainder when 61 is divided by k.
10
Suppose -2*v - 3*v - 4*u + 24 = 0, 2*v - 3 = 5*u. Suppose -2*d + z + 23 = 0, -45 = -5*d - v*z + 9*z. What is the remainder when 55 is divided by d?
13
Suppose 3*p - 66 = -3*p. Suppose 4*y - 14 + 2 = 0. Suppose 0 = 2*g - y*i - 18, 4*g - 2*i = 9*g - 26. What is the remainder when p is divided by g?
5
Let o = -223 + -376. Let u = o + 650. What is the remainder when 138 is divided by u?
36
Suppose 3*n = 0, 0*l - 40*n + 39*n = 2*l - 112. Calculate the remainder when 523 is divided by l.
19
Suppose 0 = 11*z + z - 1728. Suppose -4*v = -4*q + z, -165 - 45 = -5*q - v. Calculate the remainder when 120 is divided by q.
38
Let i = -4945 - -4967. What is the remainder when 427 is divided by i?
9
Let o(b) = b**3 + 63*b**2 - 186*b - 1578. What is the remainder when o(-65) is divided by 295?
292
Suppose -15*y = 4*p - 16*y - 3130, -p + 3*y = -788. What is the remainder when p is divided by 49?
47
Suppose 3*g - y - 180 = 0, 141*g - 143*g + 2*y + 124 = 0. What is the remainder when g is divided by 2/(1*2) + 4?
4
Let r(n) = 2*n**2 + 29*n + 60. Suppose j + 4*x = -j - 42, 3*x = -9. What is the remainder when r(j) is divided by 22?
9
Suppose 28 = -84*t + 80*t. Let o = 231 + t. What is the remainder when o is divided by 12?
8
Let b be (-45)/(-120) - (-38)/(-16). What is the remainder when (4/(-6))/(b*10/7080) is divided by 80?
76
Suppose -35 = -j - 34. Calculate the remainder when j/(-5 - 444/(-88)) is divided by 3.
1
Let y(o) = o**3 - o**2 + 86. Suppose 6*w = -7818 + 1806. Let d = w - -1024. Calculate the remainder when y(0) is divided by d.
20
Let f = 478 - 741. Let k = 55 - f. Calculate the remainder when k is divided by 20.
18
Suppose -2781 = -13*f + 2328. Suppose -3*d = -6*t + f, t - 4*d = -t + 140. What is the remainder when 378 is divided by t?
58
Let p = -21 - -70. Suppose -11*s + p = -171. What is the remainder when 118 is divided by s?
18
Let g = -47 + 77. Let w = -38 + g. Let n(q) = -18*q - 12. Calculate the remainder when n(w) is divided by 15.
12
Let x(o) = 175*o - 358. Calculate the remainder when x(9) is divided by 10.
7
Suppose -2*j = -0*j - 3*o - 14, -2*j = 5*o + 18. Calculate the remainder when -2 - (-2 - (-12)/7 - 1066/287) is divided by j.
0
Let r be (20/8)/(-5)*-4*2. Suppose -4*g + 5 = 3*b, 0 = -r*g - 0*g + 4*b + 12. Calculate the remainder when 59 is divided by (-2 - 20/(-2))*g.
11
Calculate the remainder when 740 is divided by (-1)/2 + 221/26 - 5 - -27.
20
Let l(g) = g**2 + g. Let x(m) = -2*m**2 + 8*m + 15. Let f(u) = -l(u) - x(u). What is the remainder when f(-7) is divided by 11?
9
Let s(d) = 19*d**2 - 1. Let x be (-2)/(-2) - ((-1)/(-1) + -1). What is the remainder when (-4 + 2)/(153/159 + -1) is divided by s(x)?
17
Let m(i) = i**3 - 6*i**2 - 15*i - 4. Let r be m(10). Let f = -222 + r. Calculate the remainder when f is divided by 7.
3
Let f be -24 - 1*30/5. Let o(p) = -2*p - 9. Let d be o(-6). Calculate the remainder when 104 is divided by (-1068)/f + ((-36)/(-15) - d).
34
Let l = 42 + -24. Let y(q) = 6*q**2 - 1. Let f be y(-2). Suppose -f*v + 499 = -19*v - 3*b, -5*v - 5*b = -615. Calculate the remainder when v is divided by l.
16
Let l(i) = i**3 - 2*i**2 + 3*i + 4. Let x be l(5). Suppose -m + 3*r = -26, -r - x = 2*m - 5*m. What is the remainder when m is di