
44
Suppose 87*x - 4 = 85*x. Suppose 4*i = -x*i + 258. What is the remainder when 150 is divided by i?
21
Let b be (-1 - -28)/((-1)/9). Let o = -27 - b. Calculate the remainder when o is divided by (-2313)/(-5397) + ((-526)/(-14) - -1) + 5.
40
Let m be (1 - 0 - (18 + -17)) + 3. What is the remainder when 98 is divided by (-34)/(-4)*(-1 + m + 0)?
13
Suppose 0 = -12*o + 17*o + 4*y - 20651, 4*y + 8238 = 2*o. Calculate the remainder when o is divided by 53.
46
Suppose 0 = -q + 2*w + 55, -5*q - 145 + 390 = 5*w. Let c = -32 + q. What is the remainder when c is divided by -3*(1 + -2) + 17 + -9?
8
What is the remainder when (-45756)/(-1107) + 2/3 is divided by 41?
1
Let p(h) = 2*h**2 - 171*h + 130. Let q = 18 + 2. Calculate the remainder when p(0) is divided by q.
10
Let f be (-6)/(-4)*4/3. Suppose -3*i - 20 = -6*i - 2*d, 2*d - 12 = -f*i. Calculate the remainder when (((-28)/(-168))/((-1)/(-10)))/(15/207) is divided by i.
7
Let f = 4951 - 4941. What is the remainder when 524 is divided by f?
4
Let c = -16709 + 17290. Calculate the remainder when c is divided by 79.
28
Let d(j) = 2*j**2 + j - 10. Suppose 3*q + 2*w = 4*q + 16, -q + 3*w = 20. What is the remainder when d(q) is divided by ((-30)/(-12))/(3/18) + (-4)/(-4)?
14
Let i = 72 + -67. Suppose i*y - 83 = -4*o, 2*o + 12 = -2*o. Calculate the remainder when 51 is divided by y.
13
Suppose 5*n = -0*n + 25. Suppose -n*g + 4*o = 6, 0*g - 2*g + 8 = o. What is the remainder when 7 is divided by g?
1
Let a be 2 + 12/16 - 6/8. Let h(k) = -k**2 - 7*k + 6. Let p be h(-7). Suppose p = a*x - 66. Calculate the remainder when x is divided by 13.
10
Suppose 0 = -4*c - 262 - 122. Let y = c - -99. Suppose -y*n + 7 = -80. What is the remainder when 57 is divided by n?
28
Suppose -5*r + q = -2896, -4*r - 65*q + 2312 = -67*q. What is the remainder when r is divided by 277?
26
Let f = 28835 + -28093. What is the remainder when f is divided by 124?
122
Suppose 2315 - 41607 = -209*g. What is the remainder when g is divided by 86?
16
Let z(o) be the second derivative of o**4/4 + 95*o**3/6 - 29*o**2/2 + 162*o. Let n(a) = -2*a. Calculate the remainder when z(-32) is divided by n(-1).
1
Let n be (-1 - (-92)/12)/(10/45). Suppose 5*c - n = 6*m - m, m = -4*c + 4. Calculate the remainder when 32 is divided by (-6 + 112/20)*(-17 + c).
2
What is the remainder when 32/12*7/((-280)/(-2010)) is divided by 57?
20
Let w(t) = 5*t**3 - 10*t**2 + 34*t + 15. Calculate the remainder when 594 is divided by w(3).
108
Suppose -c + 5*z + 512 = 0, -450*c + z = -449*c - 524. What is the remainder when c is divided by 100?
27
Suppose -6*d - 178 + 220 = 0. Suppose -11*r - d = -117. Calculate the remainder when r is divided by 6.
4
Let h(g) = -2*g**2 - 10*g + 10. Let m(s) = 6*s**3 - 2*s**2 - s. Let w be m(-1). Let z be h(w). What is the remainder when (-8)/(-36) - 230/z is divided by 5?
3
Let b = -36 + 393. Suppose 0 = -5*z - 4*k + b, -58 = -z - 2*k + 11. Suppose z*l + 44 = 77*l. What is the remainder when l is divided by 8?
3
Let n = -563 + 776. What is the remainder when 435 is divided by n?
9
Suppose -546*k + 6624 + 5718 = -183*k. Let s be 130/4*4*1. Suppose d + d - s = 0. Calculate the remainder when d is divided by k.
31
Calculate the remainder when 612 is divided by ((-1)/(-1))/((-3)/1476*-4).
120
Let t = 649 + -1347. Let u = 1091 + t. What is the remainder when u is divided by 80?
73
Suppose -4*i + 520 = -0*i. Let d(n) = -740*n**2 - 4*n + 3. Let o be d(1). Let t = o - -775. What is the remainder when i is divided by t?
28
Suppose 407*u - 291*u = 206*u - 8550. Calculate the remainder when 4084 is divided by u.
94
Calculate the remainder when 987*(-10 + 11) - 10 is divided by 19.
8
Suppose -2*q = 5*c - 1 + 2, 8 = 3*q - 2*c. Suppose -4*a + q*a + 5*y + 50 = 0, 2*y = 4*a - 68. Let x = a + -5. Calculate the remainder when x is divided by 5.
0
Calculate the remainder when (-249)/415 + (26944/10)/4 is divided by 13.
10
Suppose -14699 + 305336 = 26*d + 103*d. What is the remainder when d is divided by 113?
106
Suppose 5*t - 42 = 28. Let s(c) = 6*c - c**2 - 4*c - t + 3*c**2. Calculate the remainder when 103 is divided by s(-5).
25
Let i = 1 - 1. Let b(g) = -5*g**2 - 15*g + 7. Let p be b(-3). Suppose p*w + i*w = 14. Calculate the remainder when 7 is divided by w.
1
Calculate the remainder when (5880/(-216))/((-3)/27) is divided by 22.
3
Calculate the remainder when 601 is divided by 8/(-6)*1*(-7236)/144.
65
Let z = 170108 + -169743. Suppose 0*v - 5*v + 115 = 0. Calculate the remainder when z is divided by v.
20
Let s(y) = y**3 - 7*y**2 + y - 3. Let z = 6 + 1. What is the remainder when 4/(-5*(-6)/15) + 21 is divided by s(z)?
3
Suppose 3*o + 2*y - 198 = -0*y, -4*y - 38 = -o. Calculate the remainder when 299 is divided by o.
51
Let g = -1761 - -2252. Calculate the remainder when g is divided by 84.
71
Suppose -4*h + 0*h = -12, 0 = -2*z + 2*h + 10. Let x = -83 + -2. Let j = x - -97. What is the remainder when j is divided by z?
4
Suppose 12*s + 151 = 1411. Suppose 3*i = -i + 60. Calculate the remainder when 8946/s + 4/5 is divided by i.
11
Suppose -3*c = -0*c + 3*n - 84, -5*c = -4*n - 131. Let o be (-535)/(-15) - (-2)/6. Calculate the remainder when c is divided by 2 - o/(0 + -3).
13
Let f(g) = 59*g - 588. Calculate the remainder when f(14) is divided by 35.
28
Suppose -5*b + 3*k = 25, -b - 13 = 3*b - k. Calculate the remainder when 150 is divided by (63/15)/(b/(-10)) + 2.
12
Let t(c) = -c**2 - 11*c + 3. Suppose 7*p + 2*w = 370, 144*w - 146*w = -2*p + 134. Calculate the remainder when p is divided by t(-6).
23
Let s(u) = -12*u + 125. Let x be s(9). Let m(v) = -5*v + 286. What is the remainder when m(x) is divided by 53?
42
What is the remainder when 382 is divided by (12 + -11)*(157 + -6 - -3)?
74
Let b(g) = g**3 - 4*g**2 - 9*g + 2. Let v = -6 + 12. Let h be b(v). Suppose 6 = -a + h. What is the remainder when 55 is divided by a?
13
Let b(n) = 15*n + 3*n + n**2 + 7 + 3 + 0*n**2. Let w be b(-13). Calculate the remainder when 37 is divided by (-10)/w + 218/11.
17
Suppose 0 = 2*v + 3*v - 105. Suppose 2*j - 14 = -10. Suppose 106 = j*l + 2*t, l + 0*t = 5*t + 65. Calculate the remainder when l is divided by v.
13
Let s(u) = -12*u - 25. Let f(w) = -15 - 2*w - 14 + 59. What is the remainder when s(-4) is divided by f(10)?
3
Let u(c) = 2*c - 2. Let b be u(1). Suppose 0*d + d - 112 = b. Calculate the remainder when d is divided by (-1 + -681)/(-22) - (1 + 1).
25
Let m(p) = -p**3 - 46*p**2 + 218*p + 8058. Suppose 4*l = -1 + 13. Suppose -l*j + 30 = -90. Calculate the remainder when j is divided by m(-47).
19
Suppose 0 = x - 3*y - 31, 4*x = -0*x - y + 111. Let k = x + 158. What is the remainder when k is divided by 21?
18
Let t be 3*2 - (3 + 7 + -9). Suppose 5*a - a = 5*c + 1733, -t*a = 5*c - 2110. What is the remainder when a is divided by 43?
40
Let h(t) = -t**3 + 6*t**2 + 9*t - 6. Calculate the remainder when 533 + ((-238)/51)/(14/(-6)) is divided by h(7).
7
Let m = 55 + 15. Suppose -4*q - 3*c + 809 = 0, -2*q - 2*c + 407 = -3*c. Calculate the remainder when m is divided by (q/(-35) + 1)/((-4)/30).
34
Let h = 27 - 2. Suppose 7 - h = -z. Suppose 7*p - 53 - 318 = 0. Calculate the remainder when p is divided by z.
17
Let m(t) = -3*t**3 + 3*t**2 + 123*t + 52. Calculate the remainder when 2426 is divided by m(-8).
38
Calculate the remainder when 846 is divided by (-3816)/(-234)*104/16.
104
Let w = 3718 - 3310. Let t = -1 - -42. Calculate the remainder when w is divided by t.
39
Suppose 0 = -9*t + t + 3736. Suppose -10*u = -t - 343. Suppose -3*c - u = -3*n, n + 4*c + 76 = 4*n. Calculate the remainder when 127 is divided by n.
31
Let p = -4156 + 4193. What is the remainder when 183 is divided by p?
35
Let q = 60 - 40. Suppose 4*x = -0*x + u + 16, 5*u + 17 = -x. Let z(f) = 24*f - 15. What is the remainder when z(x) is divided by q?
17
Suppose 0 = -5*m - 4*g + 37198, 3*m - 10455 - 11867 = -4*g. What is the remainder when m is divided by 93?
91
What is the remainder when (-126)/476*-196 - 6/(-51) is divided by 14?
10
Let t(y) = 39*y + 100. Let f be t(19). Let w = -462 + f. What is the remainder when w is divided by 32?
27
Let a(r) = -276*r - 766. What is the remainder when a(-7) is divided by 48?
14
Suppose -5*r + 212 - 27 = 0. Suppose -14*d - 4*d = 2*d - 2760. Calculate th