r when (407/148)/(2/120) is divided by 42?
39
Let g be ((-4)/(-6))/((-19)/(-684)). Suppose -27*d + g*d + 45 = 0. Calculate the remainder when 70 is divided by d.
10
Suppose 18 = -6*z + 3*z. Let k = -84 - -73. Let l = z - k. Calculate the remainder when 34 is divided by l.
4
Let c = 38 - 8. Suppose m + 358 = 2*n, -3*n + 544 = -m - 4*m. Let o = n + -122. Calculate the remainder when o is divided by c.
26
Let d(r) = r**3 - 7*r**2 - 151*r - 9. What is the remainder when d(-9) is divided by 29?
25
Suppose 10 = d - 3*g, -18 = -2*d + 3*g + 17. What is the remainder when -7*(461*(-11)/77 + 9) is divided by d?
23
Let v = -2121 + 2164. Calculate the remainder when 1021 is divided by v.
32
Suppose -5*l + 3 = -4*h - 4, 0 = -4*h + l + 5. What is the remainder when (-8)/h + -33 + 358 is divided by 41?
34
Suppose -4 = u, -u + 404 + 672 = -3*i. Let q = -300 - i. What is the remainder when 539 is divided by q?
59
Let r(z) = -15*z**3 + 203*z**2 + 98*z + 15. Suppose -k = 2*k - 171. What is the remainder when k is divided by r(14)?
12
Suppose 4*q = -5*o + 797 - 195, 5*q + 5*o - 755 = 0. Suppose 4*t - 339 = 11*f - 14*f, 3*t - 4*f = 198. What is the remainder when q is divided by t?
75
Let q = 185 - 162. Suppose -175 = q*z - 589. Suppose b + 19 = 124. What is the remainder when b is divided by z?
15
Let p = 87 + -42. Let g be 6/(-4) + p/10. Suppose -3*d = -g*h - 126, d - h - 4*h = 54. What is the remainder when d is divided by 21?
18
Suppose 4098 = -4*k + 10*k. Suppose -k = 9*g + 595. Let f = -71 - g. Calculate the remainder when f is divided by 18.
17
Let o = -13 - -14. Suppose -s = 3*y - 30, -3 + o = s - 5*y. Calculate the remainder when s is divided by (2 - 5)/(105/(-175)).
3
Let y(p) = -6*p**2 + 12 - 9*p - 18 - 6*p**3 + 4*p**3. What is the remainder when 60 is divided by y(-3)?
18
Suppose 100*g - 233131 + 1963 = -244*g. What is the remainder when g is divided by 73?
15
Suppose 3*t - 6*d - 363 = 0, -3*t - 193 = -4*d - 528. Suppose 0 = -2*j + 5*n + 585, 3*n + 930 = 3*j + 66. What is the remainder when j is divided by t?
6
Suppose -40 - 30 = -5*j. Let a = 20549 + -20541. What is the remainder when j is divided by a?
6
Let z(o) = 3*o**2 + 7 + 10*o + 5*o**3 - 3*o**3 + 10*o**2. Let w be z(-6). Calculate the remainder when 63 is divided by -5*2/(-8)*(-68)/w.
3
Let h = -144 + 157. Suppose 0 = -m - a + 33, 5*a - 33 = m - 2*m. What is the remainder when m is divided by h?
7
Let y = 191 - 130. Suppose y = 2*d + 7. Let u(v) = v - 1. What is the remainder when d is divided by u(8)?
6
Let z(d) = -3*d**2 + 31*d + 34. Suppose 2*g + 4*m - 2 = 0, -m + 15 = -6*m. Suppose -12*v + 230 = -g*v. Calculate the remainder when v is divided by z(11).
10
Let r(l) = 5*l - 17. Let d be r(-25). Let y = d + 156. Calculate the remainder when 82 is divided by y.
12
Suppose 40 = 5*u - 20. Calculate the remainder when 1147 is divided by u.
7
Let p = -23806 - -23934. Calculate the remainder when 1328 is divided by p.
48
Suppose -d = -6 - 6. Suppose -298*b + 656 + 21 = -217. What is the remainder when d is divided by b?
0
Suppose -5*c + 12 + 44 = -4. What is the remainder when 43 is divided by c?
7
Let a = 29 + -25. Let l be 3*7*a/6. Suppose l - 98 = -6*x. What is the remainder when 26 is divided by x?
12
Let l(n) = -380*n + 2375. Let p = -17 - -29. Calculate the remainder when l(6) is divided by p.
11
Let h be (-1)/8 + (-156849)/(-392). Suppose 3*o - 3*a - 29 - h = 0, 0 = 4*a + 4. What is the remainder when o is divided by 11?
10
Let k = 455 - 324. Suppose -k*m + 140*m - 423 = 0. Calculate the remainder when 134 is divided by m.
40
Calculate the remainder when 26 is divided by (-136)/(-10) - (-156)/(-60).
4
Let m = -3879 + 4172. What is the remainder when m is divided by 36?
5
Let h(v) = -520*v + 114. Let m be h(-5). Suppose -m = -16*x - 7*x. What is the remainder when x is divided by 20?
18
Suppose 3*f + 95 = -4*y + 27, 2*y + 4*f = -24. Calculate the remainder when 16/6*(-390)/y is divided by 19.
14
Suppose 9*l = 31*l - 88. Suppose l*t + 4*r - 29 + 1 = 0, -5*r - 73 = -4*t. Calculate the remainder when t is divided by 9.
3
Suppose 0*m + 3*x - 169 = 2*m, 0 = m + 4*x + 57. Let j be (-105)/60*(3 + 1). Let t = j - m. Calculate the remainder when t is divided by 36.
34
Let n = -670 + 699. What is the remainder when 1186 is divided by n?
26
Let n = 61 + -640. Let r = -77 - n. What is the remainder when r is divided by 18?
16
What is the remainder when ((-432)/30)/(-12)*5550/3 is divided by 117?
114
Let u be (286/1 - 5) + (-3 - -1). Suppose 0 = 5*j - u - 136. What is the remainder when 241 is divided by j?
75
Let o = 551 + -510. Let j(f) be the first derivative of 31*f**2/2 + 6*f + 2. Calculate the remainder when j(5) is divided by o.
38
What is the remainder when (64/5)/(((-36)/(-1845))/2) is divided by 47?
43
Suppose 4*j + 0*j = 20. Let o(x) = x**3 + 4*x**2 + x + 2. Let p = 136 - 138. What is the remainder when o(p) is divided by j?
3
Let x = 182 + -121. Let h = x + -47. Let y = 132 - 91. What is the remainder when y is divided by h?
13
Let x(a) be the second derivative of -a**4/12 + 4*a**3/3 + 19*a**2/2 + 10*a. Let h = -20 - -28. Calculate the remainder when 54 is divided by x(h).
16
Suppose -8*z + 33432 = -z. Suppose -29*p + z = -5*p. What is the remainder when p is divided by 40?
39
Suppose 775 = 52*h - 1045. Calculate the remainder when 750 is divided by h.
15
Suppose 4*x - 5*x + 19 = -4*c, 2*x = -2*c - 2. Suppose -x*j + 89 - 68 = 0. Calculate the remainder when 90 is divided by j.
6
Suppose -57*a + 158*a + 248199 - 972773 = 0. What is the remainder when a is divided by 5?
4
Let t(g) = 63*g - 1. Let x = -42917 + 42948. Calculate the remainder when t(1) is divided by x.
0
Suppose 5*i + 42 = 29*i - 1062. Suppose 0 = -4*k - 13 + 61. Calculate the remainder when i is divided by k.
10
Let y = 37 - 21. Suppose 5 = 66*b - 65*b. Calculate the remainder when y is divided by b.
1
Let q = 170 + -244. Suppose -3*y + 0*y = -258. Let i = y + q. Calculate the remainder when 82 is divided by i.
10
Suppose 0 = 5*t - 2*q - 302, 5*t - 116*q = -119*q + 322. Calculate the remainder when 1/(2/6) + 175 is divided by t.
54
Let g(p) = -20*p**2 - 4*p - 4. Let w be g(-3). Let z(n) = -24*n + 382. Calculate the remainder when w/(-4) - (-1 + 4) is divided by z(15).
18
Suppose 1672*p + 5*x = 1673*p - 80, -4*x = -p + 86. Calculate the remainder when 4849 is divided by p.
9
Calculate the remainder when 3077 is divided by (3114/(-1211))/((-4)/42).
26
Let h = -141 - -145. Suppose -y + 2*y + h*l - 50 = 0, 5*y - 178 = -2*l. Calculate the remainder when y is divided by 10.
4
Let i = 501 - 469. Let s(n) = -2*n**2 + 66*n - 11. Calculate the remainder when 168 is divided by s(i).
9
Let j = 452 + -220. Suppose 9*g - j = 83. Calculate the remainder when 129 is divided by g.
24
Calculate the remainder when 297 + -304 - 8774*(6/4 + -2) is divided by 231.
222
Let o = -17 + 46. Let q = o + 3. Suppose 4*u - q = 2*u. Calculate the remainder when 44 is divided by u.
12
Calculate the remainder when (-63310)/(-52) - (-2 - -6)/8 is divided by 18.
11
Let r = 70 - 63. Suppose 2*j = 4, 44 = 2*i + r*j - 5*j. Let m = 112 - 53. Calculate the remainder when m is divided by i.
19
Suppose -458 = 2*v - 710. Let t = 136 - v. What is the remainder when t is divided by (-1)/(-2) + 22/4?
4
Suppose 4*a = -3*s + 152, 0 = -8522*a + 8524*a - s - 106. Let g = -39 + 58. Calculate the remainder when a is divided by g.
9
Let q(n) = 2*n + 39. Let u be q(-12). Suppose -3*c - 4*x = -u - 67, 2*c - 32 = 3*x. Calculate the remainder when 153 is divided by c.
21
Let g be 4/10 - (-184)/(-10). Let v(p) = -p**3 + 7*p**2 + 18*p - 2. Let w be v(9). Calculate the remainder when 13 is divided by g/12 - 13/w.
3
Suppose 10*c - 4*s = 6*c + 208, c + 2*s - 58 = 0. Suppose c = 4*r - r. What is the remainder when r is divided by 10?
8
Suppose -127*t + 2*u = -132*t + 33, 2*u = t - 9. Calculate the remainder when 21 is divided by t.
0
Let n = -8151 + 8171. What is the remainder when 75 is divided by n?
15
Suppose -10440 = -0*c - 30*c. Suppose 0*r + 4*r = -4*m + c, -4*m + 3*r = -320. What is the remainder when m is divided by 7?
6
Calculate the remainder when 0/(-1) + (-50)/(-125) + (-2815)/(-25) is divided by 22.
3
Suppose 43*q + 3*w = 46*q - 6, -2*q - w + 1 = 0. Let u(b) = -2*b**2 + 8*b + 