s the remainder when -23 + 16 - (-351 + 1) is divided by 70?
63
Suppose -4*x + 742 = 5*l - 147, -4*l + 236 = x. Suppose -2*q + z + 188 = 4*z, 4*z = 2*q - x. What is the remainder when q is divided by 36?
28
Let d(n) = 11*n - 105. Let b be d(-6). Let s(v) = 47*v**2 + 3*v + 1. Calculate the remainder when s(-2) is divided by b/2736 + 1186/32.
35
Let v = 44458 - 44386. What is the remainder when 224 is divided by v?
8
Let s(m) = -8*m + 2. Calculate the remainder when s(-3) is divided by (0 + 12/36)*9.
2
What is the remainder when 11701 is divided by 1*-21*66*(-41)/369?
151
Let b = -179 - -199. What is the remainder when (-8)/572*-11 - (-1686)/26 is divided by b?
5
Let u = 23 - 21. Suppose -u*o - 3*k = -8, 0 = 2*o - 4*k + 6*k - 6. Let p(a) = a**3 + 5*a**2 + 5*a + 6. Calculate the remainder when p(-4) is divided by o.
0
Suppose 0 = -20*x + 7920 + 920. Calculate the remainder when x is divided by 37.
35
Suppose -16 = 2*h - 4*l, -h + 4*l = -0*h + 18. Let u be (45/(-5) - -5)/h. What is the remainder when 22 is divided by (u - 2 - (2 + -9)) + 11?
8
Suppose -69*s + 3059 = 64*s. Calculate the remainder when 612 is divided by s.
14
Let m(a) = 9*a - 13. Let q = -10470 + 10655. What is the remainder when q is divided by m(8)?
8
Let g be (-640)/(-44) + (-30)/55. Suppose 2230 = -g*j + 24*j. What is the remainder when j is divided by 8?
7
Let q(k) = 29*k**2 + 6*k - 4. Suppose 565*l - 43*l - 30276 = 0. What is the remainder when q(5) is divided by l?
55
Let p(d) = -d**2 + 9*d. Let a be p(9). Let q be (a + (-8)/12)*-3. Suppose z - q*y = 49, 2*z + 9*y = 8*y + 93. Calculate the remainder when z is divided by 16.
15
Suppose 0 = -5*s - 2*k, -4*k = 4*s - k. Calculate the remainder when 134 is divided by s + (-8)/(40/(-135)).
26
Suppose -39 + 9 = 5*x. Let h be (-52)/2 + (-18)/x. Let j = -7 - h. Calculate the remainder when 62 is divided by j.
14
Suppose 14116 = 4*z + p + 378, -2*z - 4*p = -6862. Suppose 19*r = 3272 + z. Calculate the remainder when r is divided by 51.
47
Let l(d) = -3*d**2 + 61*d - 13. Let b be l(20). Let j(v) = -15 - 8*v**2 + 7*v**2 + v**3 - 4*v**2 - 8*v. What is the remainder when 42 is divided by j(b)?
15
Let x(j) = -2*j**3 - 60*j**2 + 129*j + 72. What is the remainder when 273 is divided by x(-32)?
33
Suppose 4*y - 67 = -5*i, -3*i + 1635*y = 1636*y - 43. Calculate the remainder when 117 is divided by i.
12
Let s = 100 + -108. Let b(a) = 3*a**2 + 10*a - 22. Calculate the remainder when b(s) is divided by 23.
21
Suppose -5*r + 570 = 2300. Suppose -13*q - 7405 = -1074. Let d = r - q. What is the remainder when d is divided by 13?
11
Let v(t) = 17*t**2 + 391*t + 16. What is the remainder when 1566 is divided by v(-23)?
14
Let s(n) = -n**3 - 2*n**2 + n + 1. Let m be s(-1). What is the remainder when (-213)/(-9) - (-2)/(-3) is divided by 0 - (-15)/(-3)*m?
3
Let s(r) = 63*r - 1801. What is the remainder when 477 is divided by s(29)?
9
Let r(w) be the second derivative of -w**5/20 + 5*w**4/3 - 13*w**3/3 - 13*w**2/2 + 71*w. What is the remainder when r(18) is divided by 47?
26
Suppose 4*c - 32 = -4*j, -5*j + 3*c + 6 = -18. Let v be ((-45)/j)/(-5) - 51/(-6). What is the remainder when ((-16)/v)/((-7)/70) is divided by 9?
7
Let p be (-183)/((-3)/(-9 + 3) - 1). Suppose 6 - p = -3*o. Suppose -t = d + 4*t - o, 2*d - 175 = 3*t. Calculate the remainder when d is divided by 24.
23
Let z = -71 + 73. Suppose 2*y + z*h + 3*h = 45, 2*h + 66 = 2*y. What is the remainder when 111 is divided by y?
21
Suppose 9*r + 4 = 22. Let h(y) = -10*y - 15 + y**2 - 2*y**r - 2*y. Calculate the remainder when 23 is divided by h(-9).
11
Let g = 397 + -241. Calculate the remainder when g is divided by -3*(5 + -1 + -4 + -11).
24
Suppose -651 = -2*l + 5*b - 406, -5*l = 3*b - 504. What is the remainder when 325 is divided by l?
10
Let g be (-3 - 2) + -5 + 7 + -2. Calculate the remainder when 7 + (-1335)/(25/g) is divided by 94.
86
Let d(w) = 6*w**2 - 12*w - 27. Calculate the remainder when d(-14) is divided by 147.
141
Suppose -4587 = -4*v - 2*f + 4323, -4*f + 6675 = 3*v. What is the remainder when v is divided by 740?
9
Let l(o) = 675*o**2 + 31*o - 63. Calculate the remainder when l(2) is divided by 45.
44
Let o = -18740 + 18745. Calculate the remainder when 1149 is divided by o.
4
Suppose 5*h - 3*l = 2160, 2*l + 864 = -h + 3*h. Let c = h - 376. Calculate the remainder when c is divided by 31.
25
Let h = 1151 + -1107. Calculate the remainder when 131 is divided by h.
43
Suppose 2*g - 560 = -2*g. Suppose -6*q = -4*q - g. What is the remainder when q is divided by (-4 - 0)/(180/13 + -14)?
18
Let x(k) = k**3 - 2*k**2 + 63. Let s be x(0). Let z be s/(-13) - ((-168)/(-78) - 2). Calculate the remainder when (z - 9/(-3))*-1*101 is divided by 34.
32
Let y(l) = 51*l - 1400. What is the remainder when y(34) is divided by 168?
166
Let k(w) = 13*w**2 + 7*w - 29. Let j(f) = -24*f**2 - 15*f + 57. Let d(l) = -6*j(l) - 11*k(l). What is the remainder when d(-15) is divided by 6?
1
Let f be 2*1*-3*310/30. Let q = 126 + f. What is the remainder when q is divided by 22?
20
Suppose -3*x - 1 = -3*i + 2, i + 1 = 2*x. Suppose -20*q + 5*z + 205 = -16*q, -4*q = x*z - 170. What is the remainder when 174 is divided by q?
39
Suppose 0 = 3*m - 2*u + 289, -5*m + u - 484 = -0*u. Let k = 163 + m. What is the remainder when k is divided by 36?
30
Let n(d) = d**2 - 5*d + 9. Let r be n(4). Suppose 0 = z - 4*z - r*v + 28, 4*z - 20 = 2*v. Calculate the remainder when z is divided by 3.
0
Let p(i) = 171*i**3 - 22*i**2 + 25*i + 13. What is the remainder when p(6) is divided by 91?
89
Suppose -74 = -i - 47. Calculate the remainder when i is divided by 20.
7
Let k be 16/(-56) + 2/(-14)*5. Let j(x) = 93*x**2 - 1. Let f be j(k). Suppose 10*o + f = 12*o. What is the remainder when o is divided by 12?
10
Let q be (4 - 1) + -3 + 1. Suppose -b + q = -1. Suppose -5*v + l + 9 = 3, -5*v - 4*l + 26 = 0. What is the remainder when b is divided by v?
0
Suppose -3238 = -142*x + 880. Calculate the remainder when 2608 is divided by x.
27
Let k(u) = 2*u**2 - 60*u - 33. Let z be (-3)/((-2)/(-2 - 136/(-6))). What is the remainder when 54 - 0/5 - -1 is divided by k(z)?
26
Suppose o + 2*o = 96. Suppose 10*m - 5*m = -4*w + 29, -4*w + 27 = 3*m. Suppose -528 = -w*p + 42. Calculate the remainder when p is divided by o.
31
Let x(r) = r**3 + 8*r**2 + 6*r + 7. Suppose -17 = 5*s + 8. Let n = 119157 + -119143. Calculate the remainder when x(s) is divided by n.
10
Let g = 351 - 108. Let x = g + -139. What is the remainder when x is divided by 18?
14
Suppose 3391 = 16*i - 3719 + 1414. Calculate the remainder when i is divided by 9.
5
Let v(x) = x**3 - 15*x**2 - 18*x + 36. Let g be v(16). Suppose -t + 38 = n - g*t, -n - 5*t = -62. What is the remainder when n is divided by 24?
23
Suppose -11*y - 15*y + 12060 = 10*y. What is the remainder when y is divided by 68?
63
Suppose y - 20 = -5. What is the remainder when ((-52)/(-8) - 4)*436*39/130 is divided by y?
12
Let d(f) = 5*f + 37. Let n be d(-7). Calculate the remainder when (-1)/((-363)/(-183) - n) is divided by 24.
13
Suppose v - 13*v = -2172. Let s = v + -97. Calculate the remainder when s is divided by 30.
24
Let g(l) = 0*l - 4 + 6*l + l**2 + 14 + 16. What is the remainder when 125 is divided by g(-4)?
17
Let b be (-2)/(-3) - (-70)/21. Suppose 4*n = 5*p + 495, -7*n + 9*n - 246 = b*p. Let m = n - 116. Calculate the remainder when m is divided by 2.
1
Suppose 235*t - 4 = 239*t, 3*y - 72 = 3*t. What is the remainder when 88 is divided by y?
19
What is the remainder when -2*(207/690 + (-69266)/20) is divided by 9?
5
Let i(r) = 16*r - 7. Suppose 38*a - 1519 - 571 = 0. Calculate the remainder when i(7) is divided by a.
50
Let z be 28/(-13) - (-148)/962. Let f(s) = 116*s**2 + 6*s + 5. What is the remainder when f(z) is divided by 27?
25
Let m(z) = 4*z**2 + 43*z + 12. Calculate the remainder when m(-12) is divided by (-4)/(-6)*150/20.
2
Let h(v) = -v**2 - 17*v - 34. Suppose 3*w - s - 467 = 0, 4*w - 5*w - s = -157. Let g = w + -106. Calculate the remainder when g is divided by h(-5).
24
Let t = -6 + 15. Let j(h) = 107*h + 5672. What is the remainder when j(-53) is divided by (-2)/t + (-22)/(-18)?
0
Suppose 4*w - 4 - 40 = 0. Let k(m) = -m**2 + 1233*m - 10911. Calculate the remainder when k(9) is divided by w.
6
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