1). Let c = y - -344. What is the remainder when 150 is divided by c?
46
Suppose 14*c - 27 = 5*c. Calculate the remainder when 90 is divided by ((-2)/(-4 + c))/((-4)/(-46)).
21
Let z(n) = n**2 + 9*n + 1. Let c be z(4). Let w(b) = -5 + 0*b + 0 + 5*b + b + c*b**2. Calculate the remainder when w(2) is divided by 55.
54
Suppose 4*r = 2*a - a - 838, -r - 219 = -5*a. Let m = 428 + r. Calculate the remainder when m is divided by 4.
3
Let r = 24462 - 24366. Calculate the remainder when 1721 is divided by r.
89
Calculate the remainder when (-16 - 3252/24)*24/(-9) is divided by 5.
4
Calculate the remainder when (-2 + -338)*(8 + (-1275)/60) is divided by 11.
6
Let b = -2 - -7. Suppose -1 + 506 = b*o. What is the remainder when o is divided by ((-170)/(-10))/(1 - 0)?
16
Let o be ((-9)/((-45)/10))/(2/3). Suppose i + 2 + 30 = 5*r, o*r + 4*i - 10 = 0. Suppose -r*s + 78 = 7*s. Calculate the remainder when 14 is divided by s.
2
Let d = -4149 - -4371. What is the remainder when d is divided by 19?
13
Suppose -19*r = -111 + 396. Calculate the remainder when 141 is divided by (-231)/r + 4/(-10) - 2.
11
Let q(t) be the third derivative of -t**6/120 + t**5/30 + 5*t**4/12 + 26*t**2 + t. What is the remainder when 11 is divided by q(4)?
3
Let h(s) = 2*s**2 - s. Calculate the remainder when (-2)/(23/((-21735)/30)) is divided by h(-2).
3
Let b(g) = -g**3 + 18*g**2 - 59*g + 104. What is the remainder when 584 is divided by b(13)?
38
Calculate the remainder when 417 is divided by (189/(-126))/((-3)/176).
65
Let b(i) = i**3 + 10*i**2 + 2*i - 25. What is the remainder when b(-8) is divided by 1620/48 + 3/(-4)?
21
Calculate the remainder when 6200/16*7/70*4 is divided by 53.
49
Suppose -2*p - 41 = 5*r + 21, 4*r - 4*p = -44. Let s be (r + -4)/2*-4 + 4. Let w = 43 - s. Calculate the remainder when 21 is divided by w.
0
Suppose -3*m = y - 234, 3*y + 428 = 5*y - 2*m. Suppose 1383 - y = 2*h. Suppose 0 = 78*v - 75*v - h. Calculate the remainder when v is divided by 15.
14
Let r(x) = -x**3 - x**2 + 8*x - 9. Calculate the remainder when 5811 is divided by r(-5).
48
Let c = 220 - 215. Suppose -2*s + r + 52 = 0, 4*r + 25 + 105 = c*s. What is the remainder when 119 is divided by s?
15
Let k(x) = -6*x**2 + 230*x - 162. What is the remainder when k(35) is divided by 62?
42
Let v = 10 - 3. Let t(j) = 4 + 2*j**3 + j - 12*j - 2*j**2 + 4*j. Calculate the remainder when t(3) is divided by v.
5
Let n = 17865 - 17633. What is the remainder when n is divided by 104?
24
Let g be 2/(-18) - 4465/(-171). Suppose -g*v - 509 = -1523. Calculate the remainder when v is divided by 15.
9
Suppose -5*f - 54 = 4*z, -z + 0*z + 9 = -f. Suppose n = 4*r - 120, -3*r + 120 = 2*n + 19. Let g = r - f. Calculate the remainder when g is divided by 11.
8
Suppose -42*v + 38*v = -220. Calculate the remainder when 249 is divided by v.
29
Suppose 3540 = 4*b - 17*l + 21*l, -4*b = 5*l - 3542. Calculate the remainder when b is divided by 21.
1
Suppose -18*z = -4473 - 1971. Let j = -182 + 205. What is the remainder when z is divided by j?
13
Let b be 1077/6 - (-8)/16. Calculate the remainder when 5 is divided by (-1 + 6/(-9))/((-100)/b).
2
Suppose 28 = 2*t - 98. Let s = 65 - t. Suppose -s*v = -36 + 2. Calculate the remainder when 62 is divided by v.
11
Suppose -2*a + 52 = -d - 145, 10 = 2*d. What is the remainder when 301 is divided by a?
99
Suppose 70 - 532 = -3*h. Let x = h - 147. Let o(k) = -3*k + 5. What is the remainder when o(-7) is divided by x?
5
Suppose 91*w = -2657 + 8117. Calculate the remainder when (-42)/4*136/(-6) is divided by w.
58
Suppose -269*z = -434*z + 2640. What is the remainder when 1308 is divided by z?
12
What is the remainder when 2779 is divided by 0 + (611/78 - (-2)/12)?
3
Let u(v) = -v + 2. Let h be u(-6). Let m be (-44)/h*-16 + 0/(-1). Let s = -70 + m. Calculate the remainder when 105 is divided by s.
15
Suppose -5*q = 7*l - 12*l - 200, -2*q + 68 = 4*l. Suppose 4*t - 6*t = -6, -q = -2*c + 2*t. What is the remainder when 127 is divided by c?
17
Let n(m) = -16*m - 139. Let p(o) = -4*o + 2. What is the remainder when n(-16) is divided by p(-7)?
27
Suppose -51 = -116*y + 99*y. Suppose -4*u - 12 = -4*l, y*l + u = -0*l + 21. What is the remainder when (-3 - -1)*-11*1 is divided by l?
4
Let c(n) = n**2 + 40*n - 1188. Calculate the remainder when c(25) is divided by 425.
12
Let k = -13169 + 13616. Calculate the remainder when k is divided by 14.
13
Let f = -24 - -17. Let m(t) = 2*t**2 + t - 11. Let s be m(f). Suppose -3*j + 2*k + s = 0, 5*j + 3*k = 191 - 26. Calculate the remainder when j is divided by 11.
8
Let i = 2475 - 205. What is the remainder when i is divided by 142?
140
Let p = 731 + -733. Let c = 27 - 19. What is the remainder when 0 - p/13 - 41132/(-676) is divided by c?
5
Let h = 1419 - 1040. What is the remainder when h is divided by 37?
9
Let j be ((-10)/8)/((-1)/4). Suppose 3*w = -t - 14, -24 = 5*t - 3*t + j*w. What is the remainder when t*(94/(-4))/((-5)/(-10)) is divided by 24?
22
Let i be 6 + (-12 - (-12)/2). Let p(t) = -3*t + 28. Calculate the remainder when 54 is divided by p(i).
26
Let u(a) be the third derivative of -17*a**4/12 - 10*a**3 + 29*a**2. What is the remainder when u(-6) is divided by 50?
44
Let j = 42569 + -29047. Calculate the remainder when j is divided by 165.
157
Let u(c) = -83*c - 890. What is the remainder when u(-18) is divided by 310?
294
Let t(w) = -w**3 - 4*w**2 + 18*w + 25. Let y = 191 - 198. What is the remainder when t(y) is divided by 16?
14
Suppose 58*l - 93 = 91*l - 1248. Calculate the remainder when l is divided by (-36)/(-9) + 4/2.
5
Suppose 2*k + 9591*c - 354 = 9594*c, 3*k - 4*c - 527 = 0. What is the remainder when 798 is divided by k?
138
Suppose 2*o = -2*j + 56, 9*o = 12*o - 2*j - 114. Calculate the remainder when 42 is divided by o.
8
Let z = 90 - 46. Let s = 20164 + -20019. What is the remainder when s is divided by z?
13
Let c(j) = 1 + 4*j**2 - 7*j**2 - 41*j + 0*j - 10*j**2 + 3*j**2. Calculate the remainder when 9 is divided by c(-4).
4
Suppose 91*q = 30*q - 76*q + 6028. Calculate the remainder when 84 is divided by q.
40
Let q(z) = -2*z**3 + 23*z**2 + 28*z - 183. What is the remainder when q(9) is divided by 213?
48
Suppose 47*l - 38*l - 1971 = 0. Suppose -25*g + l = 44. Calculate the remainder when 67 is divided by g.
4
Suppose -9*b = 6*b - 18*b + 111. What is the remainder when 586 is divided by b?
31
Suppose -5*n + 4*h + 12 = -132, 2*n = -2*h + 72. Let s = -640284 - -640729. What is the remainder when s is divided by n?
29
Let i = 0 + 7. Suppose -o - 5*h - i + 34 = 0, 2*h = -5*o + 112. Calculate the remainder when (7 + 176/(-20))/(1/(-35)) is divided by o.
19
Suppose -3*d - 8 = 5*u - 28, -3*u + 3*d + 12 = 0. Suppose 135 = 5*v + 5*a, 4*a = 141*v - 137*v - 108. Calculate the remainder when v is divided by u.
3
Let v = 85 - 64. Suppose -8*a + 159 = -145. What is the remainder when a is divided by v?
17
Let z(r) = 28*r**2 - 147*r + 17. Calculate the remainder when z(9) is divided by 76.
50
Calculate the remainder when 4*10/(-200)*4/((-8)/5410) is divided by 70.
51
Calculate the remainder when 11/165 - 39176/(-60) is divided by 17.
7
Let a(m) = -m**3 - m**2 - 2*m - 6. Let c be a(-2). Suppose -c*r = 6, 2*r + 33 = 3*j + 3*r. What is the remainder when 310 is divided by j?
10
Let m(d) = d - 2. Suppose 4*u - 8 = 4*x, 3*x - 10 = -5*u - x. Suppose -37 = -u*r - 2*r - s, r + 7 = 3*s. What is the remainder when 15 is divided by m(r)?
3
Let c = 144 - 98. Suppose j - i = 5*j - c, 0 = j + 5*i - 21. Calculate the remainder when 74 is divided by j.
8
Let m = 762 + -740. Calculate the remainder when (0 - 17)*9/(-1) is divided by m.
21
Suppose -5*g + 171 = 4*n - 168, 4*g + 5*n = 264. Suppose 3*m + 2*a = g, m + 2*a = -a + 26. What is the remainder when 114 is divided by m?
22
Suppose j - 1009 = 2*d - 3*d, -5*j = -2*d - 5010. Calculate the remainder when j is divided by 23.
15
Let f(o) = 2*o + 5. Let m(y) = -y**2 + 19*y + 18. Let d be m(19). Calculate the remainder when f(5) is divided by d/(-5)*(-30)/9.
3
Suppose -2*y + 87 - 21 = 0. Suppose 2*d + y = 111. Calculate the remainder when d is divided by ((-205)/(-123))/(55/693).
18
Suppose 75*x - 60*x = 285. What is the remainder when 35 is divided by x?
16
Suppose b - 2*r = 803, -7*r - 565 + 3657 = 4*b. Calculate