s the remainder when m(v) is divided by 24?
23
Let m be -50*1 + 1/(1/4). Let u = m - -172. What is the remainder when u is divided by 22?
16
Let s(y) = y**3 + y**2 - 17*y - 8. Suppose 0 = -3*l - 4*w - 7, -3*l = -5*w - 15 - 14. What is the remainder when s(-4) is divided by l?
0
Suppose 7*a = -2*a - 63. Let j be (2295/(-18) - a) + 2/(-4). Let d = 153 + j. What is the remainder when d is divided by 17?
15
Let s be 70/20*(2 - -32). Let w = 30 + s. Let u = w + -27. Calculate the remainder when u is divided by 42.
38
Suppose 9*l = -l + 20. Suppose z - l = 45. Calculate the remainder when z/3 + (-10)/15 is divided by 9.
6
Suppose 2288 = 5*q - 3*v, -1936 = -4*q + v - 107. Let z = -445 + q. What is the remainder when 346 is divided by z?
10
Suppose 48*d = 44*d + 8. Suppose 4*f = 8, -d*f + 10 = r - 0*r. What is the remainder when 20 is divided by r?
2
Let i(b) = -b**2 - 10*b + 4. Suppose 0 = -34*q + 27*q - 35. What is the remainder when 141 is divided by i(q)?
25
Let f(g) = -30*g - 2622. What is the remainder when 1860 is divided by f(-89)?
36
Let d(o) = 12*o**2 - 10*o + 4. What is the remainder when 155 is divided by d(-3)?
13
Let a be 8*4/8 + -39. Let h = -23 - a. Calculate the remainder when h is divided by (-5 + 30/(-3))/(-3).
2
Let u be 17280/(-28) + 3 - (-1)/7. What is the remainder when u/(-6) - 1 - 1/3 is divided by 22?
13
Suppose 219*l - 191*l + 980 = 0. Let k(q) = q**3 - 7*q**2 + 2*q - 4. Let i be k(7). Let o = i - l. Calculate the remainder when o is divided by 10.
5
Suppose -256 = -40*f + 610 - 146. What is the remainder when 386 is divided by f?
8
Suppose -2418*y + 3025 = -2410*y - 119. What is the remainder when y is divided by 46?
25
Suppose -26*f + 124 = 3*i - 27*f, 5*f - 111 = -2*i. Let y(b) = 34*b - 2. Let u be y(1). Let h = u - 23. Calculate the remainder when i is divided by h.
7
Let q(v) = 19*v - 110. Let c be q(6). Suppose 3*l - 51 = c*x + 63, 0 = x. Calculate the remainder when l is divided by 13.
12
Let a(f) = -3*f**2 + 44*f - 8. Let g be a(14). Suppose g*p = -4*p + 672. Calculate the remainder when 106 is divided by p.
22
Suppose -3*d = -0*d - 105. Let o be 50/8 + (-55)/44. Suppose 10*t - d = o*t. What is the remainder when 22 is divided by t?
1
Let r = -111 - -191. Let h(j) = 16*j - 3. Let i be h(-3). Let x = r + i. What is the remainder when 56 is divided by x?
27
Let y(k) be the first derivative of 2*k**3/3 - 9*k**2/2 + 14*k + 8. Suppose -4*j = -9*j + 95. What is the remainder when y(8) is divided by j?
13
Let d(j) = j**3 + 47*j**2 + 6*j + 288. What is the remainder when 60 is divided by d(-47)?
0
Let f(m) = -9*m + 45*m**2 - 53*m**2 + 52*m**2. Calculate the remainder when f(1) is divided by 13.
9
Let b(l) = 4*l**3 + 182*l**2 - 94*l - 40. What is the remainder when b(-46) is divided by 26 + 3 + (-7 - -5)?
25
Calculate the remainder when (0 - -2785) + 91*47/(-329) is divided by 19.
17
Calculate the remainder when (126 + -10)*(-3)/(-12) is divided by (-6)/((-108)/3) - 94/(-12).
5
Suppose 0 = 26*o - 32*o + 3990. What is the remainder when o is divided by 18?
17
Let w = 9879 + -9834. What is the remainder when 806 is divided by w?
41
Let d be (6705/(-12))/(-5) - 9/(-36). Calculate the remainder when 2/((-4)/(-938))*d/392 is divided by 42.
8
Calculate the remainder when (132378/78 - -5) + 6/(-39) is divided by 561.
19
Suppose -5*j + 8 - 3 = 0. What is the remainder when 53 is divided by ((-162)/(-36))/(j/2)?
8
What is the remainder when 596 is divided by (88/11 - 9)/(4/(-564)*3)?
32
Let c = -15180 + 15276. Let l(x) = 2*x - 7. What is the remainder when c is divided by l(6)?
1
Suppose 151 = 2*o - t, -2*o + 133 = 6*t - t. Let n = 10 + o. What is the remainder when n is divided by -6 - -30 - (-3 - -5)?
18
Let f be (11 + 9)/((5 + 3)/4). Suppose 0 = f*s - 74 - 86. Calculate the remainder when 90 is divided by s.
10
What is the remainder when 350 is divided by 99 + -109 - (-19 - 1)?
0
Suppose -2*w = -4, 34*w + 758 = x + 35*w. Calculate the remainder when x is divided by 33.
30
Suppose -4*w + 5*c = -5, -c = -3*w + 37 - 25. Suppose -26 = -g - w*t + 5, -4*t - 36 = -3*g. Calculate the remainder when 23 is divided by g.
7
Let z(t) = 10*t**2 + 12*t - 6. Let g be z(-6). Suppose g - 1118 = -11*q. What is the remainder when q is divided by 20?
16
Calculate the remainder when ((-38)/3)/((-6)/855) + (-31 - -30) is divided by 95.
94
Let o = 189833 - 189820. Calculate the remainder when ((-264)/9)/((-1)/3) is divided by o.
10
Let j(s) = 3*s + 32. Suppose 31 = -4*a + 103. Let c be j(a). Suppose 0 = -2*f + 4*f - 4*m - 82, -2*f + c = -2*m. Calculate the remainder when f is divided by 8.
5
Let c = -18435 + 18648. What is the remainder when 429 is divided by c?
3
Let v = 18723 - 18584. Calculate the remainder when v is divided by 113.
26
Suppose -2*l - 4*v + 304 = 0, 34*l - 33*l - 4*v - 140 = 0. Calculate the remainder when 2225 is divided by l.
5
What is the remainder when (-6 - (-4196)/2) + (-14 - -18) is divided by 3?
2
Let m(a) = 72*a**2 - 7*a - 10. Suppose -254*b + 6 = -257*b. Calculate the remainder when m(b) is divided by 42.
40
Suppose 103 - 61 = -3*z + 57. Calculate the remainder when 771 is divided by z.
1
Let s(i) be the first derivative of -27 + 24*i - 1/2*i**2. What is the remainder when 40 is divided by s(3)?
19
Suppose -407 = -11*c + 429. Calculate the remainder when c is divided by 21.
13
Suppose 0 = 4*t + d - 209, -1492*d + 1493*d + 301 = 6*t. Suppose 2*a + 0*a - 27 = 3*j, -2*a + 2*j + 26 = 0. Calculate the remainder when t is divided by a.
3
Suppose -7*n = -2*n - 130. Suppose n*y + 11 = 27*y. Calculate the remainder when y is divided by (13 - 1 - 3) + -2.
4
Let g = 45340 + -45317. Let x(z) = 11*z**2 + 3*z - 1. Calculate the remainder when x(-3) is divided by g.
20
Let j be -7 + 150 - -3*1. Let w = 222 - j. Calculate the remainder when w is divided by (-8)/(-6) - (15 + 95)*8/(-60).
12
Suppose -7 - 3 = -2*g. Suppose -55 = -g*x + 140. Suppose -35*j - 2250 = -73*j + 8*j. Calculate the remainder when j is divided by x.
36
Let o = 3527 + -3515. What is the remainder when 8876 is divided by o?
8
Suppose a = 5*a - 108. Suppose 0 = -5*b + 25, 30*b - 26*b = 2*z. What is the remainder when a is divided by z?
7
Let k(z) = -2*z + 25. Let s be 1/(-2)*(-2 - (-110)/(-5)). Let r be k(s). Let q = 31 + r. What is the remainder when q is divided by 12?
8
Let m be 10/(-2) + -4 + 99. Suppose -4*v + 162 = a, -5*v - 3*a = -m - 109. Calculate the remainder when 243 is divided by v.
38
Let z = -1273 + 1297. Calculate the remainder when 496 is divided by z.
16
Suppose -2*n = -21*k - 6829, 39*n = 42*n + 3*k - 10071. What is the remainder when n is divided by 187?
183
Let n = -17565 - -18555. What is the remainder when n is divided by 70?
10
Let v(y) = 487*y**2 - 66*y - 120. What is the remainder when v(-2) is divided by 53?
52
Let d(u) = u**3 + 24*u**2 + 8*u - 2. Let i be d(-23). Let h = 527 - i. Suppose -3*q + h = 5*q. Calculate the remainder when 183 is divided by q.
22
What is the remainder when 112 is divided by (-21725)/(-440) - (-3)/(-8)?
14
Suppose 5*r - 4*w = -25 + 97, -4*r = 5*w - 74. Let v(l) = -l**3 + 51*l**2 + 52*l + 59. Let h = -975 - -1027. Calculate the remainder when v(h) is divided by r.
11
Suppose 89*o = 57*o + 13312. What is the remainder when o is divided by 192?
32
Suppose -q = -5, 15*i + 2*q + 887 = 18*i. Suppose x - 38 = 38. Calculate the remainder when i is divided by x.
71
Let n be (130/39)/(4/(-6)). Calculate the remainder when 20 is divided by 1/(n/4)*(-120)/6.
4
Let q = -897 - -925. Let i(s) = 13*s - 1. Let w be i(-1). Let k = q + w. Calculate the remainder when 55 is divided by k.
13
Suppose 2*y + 0*y - 4 = 0. Suppose 4*m + 3 = -5*q - y, 4*q = 3*m + 27. Let b(x) = x**3 - 4*x**2 + 3*x + 7. What is the remainder when 19 is divided by b(q)?
5
Suppose 0 = 4*l - g + 36 - 11, 4*l - 2*g = -26. Let c(a) = 13*a + 99. Let w(n) = 8*n - 9. What is the remainder when w(6) is divided by c(l)?
18
Suppose 1465*z - 14212 = 1278*z. Let p(f) = -f + 11. Let l be p(9). Suppose -l*a = -5*a + 78. Calculate the remainder when z is divided by a.
24
Let s = -562 + 650. Let l be 766/14 - 4/(-14). Let t = s - l. What is the remainder when t is divided by 18?
15
Let i = 6730 - 6501. What is the remainder when 742 is divided by i?
55
What is the remainder when