is divided by q.
11
Let b(r) = 5*r - 129. What is the remainder when 63 is divided by b(27)?
3
Let r be 77/8 + (-45)/(-120). What is the remainder when 4/r - (2765/(-25) - 5) is divided by 40?
36
Suppose 0 = 2*c - 3*p - 655, 24*p - 4 = 20*p. What is the remainder when 660 is divided by c?
2
Suppose -226*q - 27379 = -245*q. Calculate the remainder when q is divided by 13.
11
Suppose 0*u = 5*u - 5. Let v(w) = 26*w**2 - w. Let y be v(u). Suppose 3*m = -2*f + y, 2*m - 4*f - 40 = -2*m. What is the remainder when 24 is divided by m?
6
Let k = -376 - -393. Let a = 17 - 5. What is the remainder when k is divided by a?
5
Let c(s) = 2*s**2 - 9*s - 4. Let w = 44 + -33. What is the remainder when c(7) is divided by w?
9
Suppose 2*d - 9 - 11 = 0. Let u = d + -5. Suppose -q - 4*k = 8, 2*k + 11 + u = q. What is the remainder when q is divided by 3?
2
Suppose -q + 36 = -10*q. What is the remainder when 30 is divided by 86/8 - 1/q?
8
Let n(y) = 4*y - 4. Let m = 6 + -2. Suppose 5 = 5*r + m*q, -4*q - 15 = 2*r + q. What is the remainder when 43 is divided by n(r)?
11
Calculate the remainder when 36 is divided by 15*9*5/45.
6
Suppose 3*r = t - 21, -2*t - 3 = -r - 15. What is the remainder when 3/(r/4) - (-1 + -33) is divided by 9?
5
Suppose -5*w + 4*d + 4 = -65, -d - 1 = 0. What is the remainder when w is divided by 8*21/28 - (-2)/(-2)?
3
Let p(y) = y**2 + 10*y + 7. Let n be p(-9). Calculate the remainder when 55 is divided by (n - (-60)/(-8))*-2.
17
Suppose -2 = -6*m + 118. What is the remainder when 36 is divided by m?
16
Suppose -1085 + 77 = -4*t. Suppose 0 = -l - 60 + t. What is the remainder when l is divided by 39?
36
Let d(q) = q**3 - 24*q**2 + 95*q - 3. What is the remainder when d(20) is divided by 22?
11
Suppose -3*p - 4*g + 1 = 15, g = -p - 3. Suppose 0 = p*f - f - 178. What is the remainder when f is divided by 20?
18
Let o be (-210)/(-45)*2*9. Suppose -79*y = -o*y + 720. Calculate the remainder when y is divided by 37.
33
Suppose -t - 2*y = 4*t - 254, -2*y - 96 = -2*t. Suppose -59*i = -58*i - 17. What is the remainder when t is divided by i?
16
Suppose 4*n = -o - 21, -3*n - 3*o = n + 15. Calculate the remainder when 50 is divided by (-19)/(-1) + 1*n/3.
16
Let t = -163 - -175. What is the remainder when 43 is divided by t?
7
Let t = -620 + 662. What is the remainder when t is divided by 11?
9
Let r = 114 - -4. Suppose -d + 90 = 2*d. Calculate the remainder when r is divided by d.
28
What is the remainder when 39 is divided by (-8)/(-68) + 1 + (-438)/(-34)?
11
Let l(b) = 5*b. Let k be l(0). Suppose k = -5*p + 23 + 2. What is the remainder when 7 is divided by p?
2
Let p = 1 - -2. Suppose 4*b - 2 = 2*r, 0*r - p*r + 7 = -b. What is the remainder when 4/2*(-10)/(-4) is divided by r?
2
Suppose 3*i = 3*q - 12, -4*q + 9 = i + 3. Suppose 5*k = 2*o + q*k - 19, -5*k - 5 = 2*o. Calculate the remainder when 20 is divided by o.
0
Suppose v = -3*d + 13, -2*d = -2*v + 3*d - 7. Calculate the remainder when 91 is divided by v.
3
Let p(z) = 3*z - 10. Calculate the remainder when 349 is divided by p(18).
41
Suppose q - 2*i = -q + 248, -2*q = 5*i - 269. What is the remainder when q is divided by 35?
22
Suppose 5*n - 532 = -2*n. Suppose -f = 29 - n. Calculate the remainder when f is divided by 17.
13
Suppose -2*j + x + 7 = -4*j, 4 = 4*j - 4*x. Let n be ((-7)/(14/12))/j. Suppose -m - 66 = -a, m = -n*m. Calculate the remainder when a is divided by 17.
15
Let m = 173 - 122. What is the remainder when m is divided by 19?
13
Suppose -95*k - 323 + 988 = 0. What is the remainder when 8 + 0 + 0/(-1) is divided by k?
1
Suppose 2*z = 5*n - 4, 4*n = -z + 4*z + 6. Let a = 7 + z. Suppose 4*m + 5*i + 14 = -3, -a*m - i = -5. Calculate the remainder when 3 is divided by m.
1
Suppose 0 = -12*w + 22*w - 730. Calculate the remainder when w is divided by 33.
7
Suppose -5*r + o + 60 = -98, -4*o + 81 = 3*r. Calculate the remainder when r is divided by (-10 - -5) + 0 - -22.
14
Let h = 8 + 1. Let m(u) = -9*u**2 + 3*u + 4*u - 16 + u**3 - 2*u + 7. Calculate the remainder when 141 is divided by m(h).
33
Let b(z) = -54*z - 1. Suppose 4*w + 30 = 3*h, 3*w + 33 + 14 = 4*h. Let r = 13 - h. Calculate the remainder when b(r) is divided by 28.
25
What is the remainder when 49 is divided by 152/16*12/6?
11
Suppose -10 - 6 = -4*b. Suppose 5*f = -2*u + 185, -f - 2*u + 25 = -b. What is the remainder when f is divided by 21?
18
Suppose 2 = -2*z + 4*l, -3*z - z + l = -10. Suppose 4*a + 5*t - 45 - 36 = 0, 0 = -z*a - 2*t + 66. What is the remainder when a is divided by 9?
6
Suppose 4*r = -3 + 3. Suppose -l - 4*k = -21, r*l + k - 9 = -l. Calculate the remainder when l is divided by 2.
1
Let x be (-4)/(-12) - 408/9. Let f = 4 - -53. What is the remainder when f is divided by -15*5/x*9?
12
Let s(j) = 96*j**3 - 3*j**2 + j + 2. What is the remainder when s(1) is divided by 4?
0
Let o(z) = -3*z**3 - 5*z**2 - 5*z - 2. Suppose 2*i - 2*f = -8, -f = -3*i - 0*f - 8. What is the remainder when 16 is divided by o(i)?
4
Suppose -51 = -2*l - 15. Let k = 5 + l. Calculate the remainder when 90 is divided by k.
21
Let h(a) = 2*a**2 - a + 14. What is the remainder when 78 is divided by h(4)?
36
Let c = 276 - 258. Calculate the remainder when 52 is divided by c.
16
Suppose 7 = 2*c - 9. What is the remainder when -2*(-12)/(-8) - -100 is divided by 2/(-8) - (-202)/c?
22
Calculate the remainder when (90 - 1)/((-1)/(-1)) is divided by 13.
11
Let i = -40 + 34. Calculate the remainder when 93 is divided by 9/i*(-7)/((-21)/(-94)).
46
Let s be 178 + (-7)/(21/(-12)). Let k = -127 + s. What is the remainder when k is divided by (19 - -1) + (-3)/3?
17
Let m(l) = -3*l**2 - 3*l + 56. Calculate the remainder when 94 is divided by m(-4).
14
Suppose 0 = -3*g + 4*g - 3. Suppose -p = m - 52, g*p + 94 + 121 = 4*m. Calculate the remainder when m is divided by 14.
11
Let t(m) = -m + 3. Suppose -5*j + p + 36 = 0, -p = 5*j - 3*p - 37. Let g be t(j). Let x(u) = -u**2 - 6*u - 1. What is the remainder when 27 is divided by x(g)?
6
What is the remainder when (-81)/(-2 - 1) - (0 + -3) is divided by 3 + 8 + 0 + -3?
6
Let b = -589 - -957. What is the remainder when b is divided by 41?
40
Suppose -y = 3*y - 5*l - 467, -586 = -5*y + 4*l. Suppose 5*v + 2*u - y = -u, 4*v - 4*u = 88. Calculate the remainder when v is divided by 8.
7
Suppose -a + 0*a = -22. Calculate the remainder when (-160)/7*21/(-6) is divided by a.
14
Let l = 270 + -257. What is the remainder when 155 is divided by l?
12
Let m = -201 + 209. What is the remainder when 29 is divided by m?
5
Suppose 394*s - 390*s - 100 = 0. What is the remainder when 87 is divided by s?
12
Calculate the remainder when 1 + (1/(-4) - 2289/(-84)) is divided by 7.
0
Let j(p) = -10*p**3 - 4*p**2 + 3*p + 4. Let d(l) = -3*l**3 - l**2 + l + 1. Let c(i) = 8*d(i) - 3*j(i). Calculate the remainder when c(2) is divided by 12.
10
Let t(a) = -7*a + 1. Suppose -3*h + 5*c = -22, 0 = -4*h + 2*c - 8 + 56. What is the remainder when h is divided by t(-1)?
6
Let l(k) = -k**3 + 10*k**2 + 3*k - 57. What is the remainder when l(6) is divided by 32?
9
Suppose 21*f - 6625 = -1963. What is the remainder when f is divided by 14?
12
Let l(r) = -r + 3. Let z be l(0). Suppose t + 0*q - 15 = 2*q, -5*q = z*t - 12. What is the remainder when 12 is divided by t?
3
Let m(c) = 3*c**2 + 28*c - 7. Let i = -156 + 146. Calculate the remainder when 74/(-6)*3/(-1) is divided by m(i).
11
Let u = 395 + -361. What is the remainder when 40 is divided by u?
6
Suppose -2*w + 3*w = 17. What is the remainder when 473 is divided by w?
14
Let l(o) be the second derivative of o**5/20 - 7*o**4/12 + o**3/6 - o**2 - 18*o - 2. Let x(h) = 8*h - 3. Calculate the remainder when x(2) is divided by l(7).
3
Let l(h) = h**3 - 6*h**2 - 8*h - 4. Let c be l(8). Suppose m - c = -4*m. Let s(g) = 4*g - 17. What is the remainder when 59 is divided by s(m)?
28
Suppose -19*j + 1944 = 8*j. What is the remainder when 139 is divided by j?
67
Let i = -21 + 56. Let w = -265 + 277. Calculate the remainder when i is divided by w.
11
Suppose -r - 10 = 4*w, -5*r + 20 = w - 6. Calculate the remainder when r is divided by -7 + (7 - (-2 - 1)).
0
Let q be 5/(20/16) + 29. Let r be 6/33 - (-93)/q. Suppose 5*l = -4*o + 276 + 89, -54 = -l + r*o. Calculate the remainder when l is divided by 18.
15
Let h