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-x = 20*n - 25*n. What is the remainder when 160 is divided by n?
25
Let k = -28 + 39. Suppose 36*h - 11894 = -842. What is the remainder when h is divided by k?
10
Let a(m) = m + 36. Let r be a(-16). Suppose r = 6*q - 106. Calculate the remainder when 80 is divided by q.
17
Suppose 0 = -w - 5*q + 1029, -5*w + 30*q - 25*q + 5265 = 0. What is the remainder when w is divided by 150?
149
Suppose 16*v - 52*v + 21970 = 29*v. Calculate the remainder when v is divided by 73.
46
Let v = -2805 - -2927. Calculate the remainder when v is divided by 32.
26
Suppose -13*l + 332 = 2035. Let u = -111 - l. Let w(g) = -4*g**3 + 2*g**2 + g + 1. Calculate the remainder when w(-2) is divided by u.
19
Let v(i) = i**3 - 15*i**2 - 285*i + 25. What is the remainder when 404 is divided by v(-11)?
12
Suppose 0 = -h + 3*s + 878, 3*s = -29*h + 26*h + 2646. Calculate the remainder when h is divided by 43.
21
Calculate the remainder when 156/(-260) - (-1 - 430 - 21/35) is divided by 111.
98
Let a = 619 - 447. Suppose 4*s + 0*v - 92 = -v, 92 = 4*s - 4*v. What is the remainder when a is divided by s?
11
Let s(d) = 4*d - 1. Let g(w) = 2*w - 1. Suppose n + 3 + 4 = 0. Let h(m) = n*g(m) + 3*s(m). What is the remainder when 33 is divided by h(-7)?
15
Suppose j + 125 = 5*i, 2*i + 49 = 5*j + 99. What is the remainder when 1948 is divided by i?
23
Suppose 2*m + 12*z - 52 = 15*z, 0 = -4*m - 5*z + 60. Calculate the remainder when 173 is divided by m.
13
Let y be (-533)/(-123) + 10/6. Suppose 3*q + 498 = y*q. Let a = 80 - 38. What is the remainder when q is divided by a?
40
Let u(g) = 2*g**2 + 8*g + 1. Let c = -48 + 49. Calculate the remainder when 42 is divided by u(c).
9
Let h = -9036 - -9075. Let s = -10 - -14. Suppose 3*n + 9 = -6, 484 = s*a - 4*n. What is the remainder when a is divided by h?
38
Calculate the remainder when 1*4 + (11 - 21828/(-6)) is divided by 63.
62
Suppose -96*f + 9499 + 26597 = 0. Calculate the remainder when f is divided by 108.
52
Suppose 0 = -43*i + 45*i - 418. Calculate the remainder when i is divided by 74.
61
Let x = -486 - -797. Calculate the remainder when x is divided by 39.
38
Suppose 3*m + 3*x = 15, -20 + 10 = -2*x. Suppose 1140 = -21*s + 25*s + 2*c, m = 2*s - 2*c - 576. What is the remainder when s is divided by 17?
14
Suppose -5*u + 3*t + t + 1408 = 0, -2*t - 1130 = -4*u. Calculate the remainder when u is divided by 14.
4
Let h(j) = -3*j**2 - 3*j + 4. Let p be h(-3). Let b be 14/p*0/1. Suppose 0 = 3*m - 3*z - 27, -m + 2*z + b = -8. Calculate the remainder when m is divided by 3.
1
Let v be (-1)/(1*5/(-10)). Suppose -p - v*p + 6 = 0. Let l(m) = 3*m**3 - 4*m**2 + 7*m + 1. What is the remainder when l(p) is divided by 14?
9
Suppose 4*g + 4*h - 184 = -44, 0 = g - 2*h - 50. What is the remainder when 15518 is divided by g?
38
Suppose -3*u - d = -14, -2*u + 11 = -0*u - d. Suppose 0 = -4*s + 13 - u. What is the remainder when (-9)/18*s*1 - -35 is divided by 13?
8
Suppose 4*s + 14 = 4*t + 46, 0 = -3*s - 2*t - 1. Suppose 71 = 3*z - a - 0*a, 15 = -s*a. Suppose 4*x - z = 22. What is the remainder when 30 is divided by x?
8
Suppose -8*a - 5*n + 25 = -13*a, 4*a = -4*n + 20. Suppose -3*g = 4*d - 13 - 277, a = -4*g + 8. Calculate the remainder when d is divided by 18.
17
Let y(k) = -3*k**2 + 5*k - 5. Let o be y(7). Let p = 176 + o. Suppose -81 = -s + p. What is the remainder when s is divided by 36?
32
Let u = 144 - 102. Suppose -3*l + 3*w + 15 = -12, 4*l + 2*w = u. Let a(o) = -o**3 - 12*o**2 + 9*o - 26. What is the remainder when a(-13) is divided by l?
6
Calculate the remainder when 301 is divided by (-5 - 11608/(-80)) + 11/(-110).
21
Let d(a) = -a**3 - 32*a**2 - 64*a - 101. What is the remainder when 1933 is divided by d(-30)?
14
Let m be -9*3/(-18)*2. Calculate the remainder when 18 - ((-29)/7 + m/21) is divided by 82/6 + (-2)/3.
9
Let w be (-19 - -23)*7/2. Suppose -3*l - 2*y + 11 = -w, 2*l = -5*y + 24. What is the remainder when 28 is divided by l?
0
Let h(b) = 5*b + 2. Suppose t - 4*v = 40, 4*t - v - 186 + 41 = 0. Suppose m - t = 4*n, -8 = -m + 3*n + 27. Calculate the remainder when m is divided by h(2).
8
Suppose 4*f = 5*g - 1479, g + 0*g - 296 = f. Suppose -5*n + g - 52 = 2*p, -3*p = -12. Calculate the remainder when 185 is divided by n.
44
Suppose -2*l - 3*l - 11 = -3*u, 5*l + u + 3 = 0. What is the remainder when 62 is divided by -23*(6 - 8 - l)?
16
Let s(c) = -c - 5. Let m be s(-14). Let o be 2/(4/m)*2/3. Suppose d - o*z = 27, -5*z + 19 = -2*d + 68. What is the remainder when 29 is divided by d?
5
Let t(m) = 4*m**2 - m. Suppose 6*a + 158 = 536. Calculate the remainder when a is divided by t(-2).
9
Suppose -o + 8 = w, 3*o + o - 12 = w. Suppose 2*h + o = t - 23, 2*h + 69 = 3*t. What is the remainder when -9*(-19)/6*16/12 is divided by t?
17
Let s(i) = -296*i + 5191. What is the remainder when s(15) is divided by 102?
37
Suppose -7*d - 2*y = -10893, 0 = -2*d + 5*y - 3*y + 3120. What is the remainder when d is divided by 17?
10
Suppose 119 = -35*n - 37*n + 89*n. Calculate the remainder when 9938 is divided by n.
5
Let y = -277 + 374. Suppose 0 = -91*f + y*f - 60. What is the remainder when 37 is divided by f?
7
Let h = -5516 + 5604. What is the remainder when 13990 is divided by h?
86
Let i(o) = -o - 2. Let x be i(-6). Let y(v) = -41 - 5 + 24*v + 17 - 5. What is the remainder when y(x) is divided by 9?
8
Suppose 5*v + 36967 = 11*f, 12*v + 10080 = 3*f + 10*v. What is the remainder when f is divided by 99?
95
Let h(v) = 3*v + 15. Suppose -4*y + 3*y = y. Calculate the remainder when h(y) is divided by 5.
0
Let r(m) = -6*m + 171. Suppose -b - 2*b + 102 = 0. Calculate the remainder when b is divided by r(25).
13
Let t be -14 + (7 - -5) + 734 + 0. Suppose -7*a + 458 + t = 0. Calculate the remainder when a is divided by 26.
14
Let q(s) = -s**2 - 15*s + 4. Calculate the remainder when 30/1*72/27 - 5 is divided by q(-12).
35
Suppose -4514 = -5*l + 4*j, l + 225 - 1126 = -j. Calculate the remainder when l is divided by 13.
5
Let g = -117 + 65. Let w = 85 + g. Suppose 0 = 19*i - i - 5*i - 234. What is the remainder when w is divided by i?
15
Suppose -2*c - 5*l = 305, 0 = -5*c + 3*l - 379 - 430. Let d = c - -181. Calculate the remainder when 104 is divided by d.
20
Let t(x) = 5*x**2 + 130*x + 393. What is the remainder when t(-32) is divided by 170?
163
Suppose 0 = -m + 60*n - 61*n + 5, 0 = -5*n - 40. Suppose -97 = -5*u + 3*u - 3*b, -3*b - 15 = 0. What is the remainder when u is divided by m?
4
Let j = -762 - -1222. Let n = j + -389. What is the remainder when n is divided by 38?
33
Let p(v) = 4*v**2 - 89*v - 983. Calculate the remainder when p(36) is divided by 480.
37
Let x be (368/5)/(((-198)/55)/(-9)). Suppose -7*y + 345 = x. What is the remainder when 109 is divided by y?
17
Let l(p) = 9*p + 169. Let m be l(-5). Suppose m*x = 130*x - 1356. Calculate the remainder when x is divided by 46.
42
Let u = 17 - -13. Suppose -5*d = u - 110. Suppose -19*s + d*s + 42 = 0. Calculate the remainder when 19 is divided by s.
5
Let y(n) = n**2 - 3*n - 19. Let u be (-4 - (-1 + 0)) + 9. Let k be y(u). What is the remainder when (61 - 4) + (0 - 2)*k is divided by 15?
14
Let g(h) = h**3 + 5*h**2 - 3*h - 1. Let u(c) = -8*c - 17. Let m be u(5). Let f = 52 + m. What is the remainder when 66 is divided by g(f)?
10
Let t be (-2)/6 - (9 + 579/(-9)). Suppose 3*q - t = -2*d - 17, 3*q = 4*d + 50. Calculate the remainder when 65 is divided by q.
9
Let p(q) = -62*q - 675. Calculate the remainder when 382 is divided by p(-11).
4
Let c(u) = -22*u + 5. Let t(x) = -21*x + 5. Let l(h) = -2*c(h) + 3*t(h). Let q be l(-4). Let p = q - 58. Calculate the remainder when p is divided by 5.
3
Suppose -68*y + 60 = -64*y. Suppose -c + 352 = 3*g, 0 = -6*c + 3*c - y. What is the remainder when g is divided by 44?
31
Let b be ((-15)/75 - (-14)/(-5)) + 52. Let s = 42 + b. What is the remainder when s is divided by 8?
3
Suppose 28*g - 23*g = 65. Suppose 1086*v + 294 = 1092*v. Calculate the remainder when v is divided by g.
10
What is the remainder when 211 is divided by (((-28)/(-18))/(24/36))/(-1)*-12?
15
Let v = 1939 - 1874. Calculate the remainder when 241 is divided by v.
46
What is the remainder when 3899 is divided by (-20)/(140/1001)*(-12)/22?
77
Calculate the remainder when 416/64*(6 + -4) is divided
|
{
"pile_set_name": "DM Mathematics"
}
|
**4 + k*l**3 + o*l**2 and give o.
28
Express (23511080*f - 23511080*f + 817*f**2)*(f - 3*f + 3*f) as m + g*f**2 + v*f + p*f**3 and give p.
817
Express (3*c - 5*c + 0*c)*(2*c - 2*c - 2*c) - 316*c**2 - 9 + 76*c**2 - 64*c**2 in the form m*c + g + k*c**2 and give g.
-9
Rearrange 43746959*g**2 - 43746959*g**2 + g**4 + g - 2 - 349*g**3 to t + a*g + u*g**3 + b*g**4 + o*g**2 and give b.
1
Express 436077 - 7891*n - 436077 as h*n + a and give h.
-7891
Express -6455 + 684*c**2 + 6451 + 4*c - 2*c in the form d + n*c + s*c**2 and give d.
-4
Rearrange 4859*i + 1231*i + 25307*i - 3442*i to the form l + r*i and give r.
27955
Express (37*o - 48 + 48)*(115*o - 339*o + 104*o - 349*o) in the form f*o**2 + x + v*o and give f.
-17353
Rearrange (1554969 - 1554969 + 11*a**2 - 24*a**3)*(-6*a + 3*a + 2*a)*(0 - 2 - 2) to v*a**2 + s + l*a + c*a**4 + b*a**3 and give c.
-96
Express (-3 - 2*u**2 + 3 + (14*u - 3*u - u)*(-49*u - 12*u - 47*u) - u - u**2 + 2*u**2 - 2*u**2)*(1 + 0 + 0) as l + c*u**2 + q*u and give q.
-1
Express 1470*b + 1274*b + 2565*b as x + s*b and give s.
5309
Express -1190*c**2 + 1205*c**2 - 2 + 2 + 1979*c**2 in the form p*c**2 + u + f*c and give f.
0
Rearrange (-7*o - 15*o + 6*o)*(-7 - 6 + 2)*(0 + 2 + 1)*(-7 + 5*o + 7) to the form k + c*o**2 + s*o and give c.
2640
Express (-6 - 1 + 1)*(296*g + 14 - 15 + 25*g) as l + a*g and give l.
6
Rearrange -5*f**2 - 173 + f + 2*f + 85 - 2*f + 94 + f**3 to the form g*f + p + j*f**3 + d*f**2 and give g.
1
Express -2*i + 3931 - 3927 + 4*i - i - 1 + 1 + (0 + 1 - 2)*(-i + 4*i - 2*i) - 14 + 14 + i in the form h + m*i and give m.
1
Express (11*a + 16*a - 11*a)*(2*a**2 - 194*a**3 + 108*a**3 + a**2) as p + k*a**3 + s*a**4 + j*a**2 + y*a and give s.
-1376
Rearrange (-55*v - 175*v + 57*v)*(21 - 33 - 36 - 84 - 77) to m + o*v and give o.
36157
Express -2*w**4 + 5*w**3 + 68*w**2 + 64*w**2 - w - 4*w**3 + 6 - 137*w**2 - 15 as q + h*w**2 + n*w + a*w**3 + r*w**4 and give q.
-9
Rearrange -1885*t**2 + 31016*t - 19546*t**2 - 15509*t - 15508*t to the form j*t**2 + z*t + n and give z.
-1
Express (x + x - x)*(-244 - 189 + 216 + 5*x) as j*x**2 + k + l*x and give j.
5
Rearrange (-1 - 4 + 2 + (-4 + 1 + 5)*(-5 + 3 + 1)*(0 + 2 - 4))*(2604*b - 2640*b + 10 - 3)*(-2*b + 2*b + 2*b) to the form n + v*b + y*b**2 and give v.
14
Rearrange 6855*z - 1 + 6860*z + 1 - 128*z**2 - 13737*z to the form k*z + y + l*z**2 and give l.
-128
Rearrange (-6*b**3 + 2*b**3 + 2*b**3)*(957 - 4264 + 8749 + 7534) to g*b**3 + f*b**2 + y + v*b and give g.
-25952
Rearrange (-8*t**3 + 11*t**3 - 8*t**3)*((-15 + 8 - 49)*(0 + 0 - 3*t) - 1 + 1 - t) + 2 - 2 + t**4 to the form q*t**4 + p*t**3 + r*t + n + k*t**2 and give n.
0
Rearrange 1651*z**2 - 10 + 687*z**2 - 13 + 1818*z**2 + 22 to g*z**2 + f*z + w and give g.
4156
Express -4*v + 5*v + v + (54*v + 34*v - 32*v)*(-2 - 1 + 5) - v + v - v as z*v + y and give z.
113
Express (-3 + 7 + 4)*(x + 0 + 0) + (-1 + 2 + 1)*(0 + 0 + x) - 2*x + x + 2*x + (-4*x + 5*x + x)*(4 - 2 - 3) + 48*x + 43*x - 57*x as k + b*x and give b.
43
Express (-2*v + 1 - 1)*(1 + 1 - 1) + 0*v - 3*v + 0*v + (-4*v + 0*v + v)*(0 - 1 + 2 + (0 + 1 + 1)*(4 - 6 + 1) + 2 + 2 - 3 - 859 + 67 - 42) as c*v + n and give c.
2497
Express (-28*a - 86*a - 405*a)*(0*a + 0*a + 3*a) as y*a**2 + j + o*a and give y.
-1557
Express -3*w**2 + 0*w**2 + 5*w**2 + (-20*w + 3*w - 53*w)*(-2*w + w + 3*w) as l + j*w + b*w**2 and give b.
-138
Rearrange (3 - 3 - g)*(2*g - 2 + 2) + 0*g**2 + g**2 + 0*g**2 - 2*g**2 - 10*g**2 - g**2 - 5 - 1 - 3222*g**2 + 3318*g**2 to z + f*g + b*g**2 and give z.
-6
Express 5 - 55076*t + 3*t**2 + 55286*t + 6*t**2 as l + y*t + c*t**2 and give c.
9
Express (4 - 4 + j)*(928*j + 853339 - 853339) as y*j + o*j**2 + q and give o.
928
Rearrange 3286271*s**2 + 2*s - 3286287*s**2 + 43*s**4 + 17*s**4 to the form v*s + p*s**4 + g + l*s**3 + b*s**2 and give p.
60
Rearrange -40*j**3 - 2 - 3*j**3 + 46*j**3 - 2*j to the form c*j**2 + h*j**3 + g*j + v and give h.
3
Express -456 + 451 + 1384*l + 7*l**3 + 2*l**2 - 1415*l + l**3 in the form b*l + i*l**3 + y*l**2 + m and give y.
2
Express (2 + 0 - 7)*(2*t**2 - 4*t**2 + 4*t**2) + 0*t**2 - 5*t**2 + 3*t**2 + (-2*t**2 - 5*t + 2 + 5*t)*(-4 + 3 - 2) as g + d*t**2 + q*t and give d.
-6
Express (3*n + 2 - 2)*(3591*n - 5800*n - 11413*n - 1368*n - 5943*n - 2526*n) as k*n**2 + f*n + y and give k.
-70377
Express (-13*o - 43*o + 16*o)*(5229 - 5229 - 63*o) in the form n*o**2 + b + i*o and give n.
2520
Express (-1 + 7 - 3)*(-10616*w**2 + 2 - 2809745*w + 1404871*w + 1404874*w) as i*w**2 + z + m*w and give i.
-31848
Rearrange (-72*l**2 + 2*l + 174*l**3 - 47*l**2 - 179*l**3)*(-29 + 13 + 42) to the form t + x*l**3 + a*l + b*l**2 and give b.
-3094
Rearrange 353 + 47*k - 15*k - 2080 - 14*k - 19*k to r*k + n and give n.
-1727
Express 2*x + 181390*x**2 - 268 - 181390*x**2 + 2*x**3 + 2*x in the form j*x + o + i*x**3 + v*x**2 and give i.
2
Express -2*t - 6*t**3 + 556 + 8*t**3 - 2*t**2 + 497 + 0*t**3 in the form f*t**3 + v*t + k + w*t**2 and give w.
-2
Express -9594409*s - 778*s**2 + 9594409*s + (2*s + s - s)*(-1 - s + 1) in the form v*s**2 + w*s + l and give v.
-780
Rearrange -505*y**3 - 4*y**4 + 256*y**3 - 2 - 10*y**2 + 250*y**3 + 9*y**2 - 6*y to the form l + g*y**4 + n*y + q*y**2 + c*y**3 and give g.
-4
Rearrange (3 - 3 + y)*(1122 - 386 - 308)*(8*y - 5*y + 13*y) to i*y + t*y**2 + q and give t.
6848
Rearrange 8*q**2 - 49 - 28*q**2 + 44 + 74*q - 137*q + 66*q to the form l + g*q + m*q**2 and give l.
-5
Express -3*z - 480 + 8*z**2 - 353 + z - 6*z**2 as h + x*z + u*z**2 and give x.
-2
Rearrange (4*t**2 - 6519*t + 0*t**2 + 6521*t)*(7 - 7 - 3*t) to the form p*t + c*t**3 + i + j*t**2 and give j.
-6
Rearrange (6 + 3 - 5)*(-2*l + 4*l - 4*l) + 58 + 63 - 175 + 2629*l + 54 to r*l + x and give x.
0
Rearrange x**3 + 19581*x - 13559*x - 18194*x to q*x**3 + y + r*x**2 + o*x and give q.
1
Rearrange (11850*r**3 - 3812*r**3 + 12289*r**3 + 10356*r**3)*(-1 - 4 + 6) to the form y*r**2 + q*r + g*r**3 + k and give g.
30683
Rearrange (54*r**2 - 45*r**2 - 28*r**2)*(-2*r**2 - 1 + 1) - 24555*r + 24555*r - 18*r**4 to the form f*r**2 + d + m*r**4 + z*r**3 + i*r and give m.
20
Rearrange -53900*q**2 + q + 53903*q**2 - 180 - 37 - 8*q - 3*q to p + b*q + j*q**2 and give b.
-10
Rearrange -4156*n**2 + 27*n + 2101*n**2 + 2079*n**2 to r + x*n + d*n**2 and give r.
0
Rearrange -3*s**4 - 10*s - 4*s**4 - 299*s**3 - 296*s**3 + 894*s**3 - 293*s**3 to the form i*s**2 + p*s + z*s**3 + b + q*s**4 and give p.
-10
Express (-1124 + 1124 + 27*l)*(20*l**3 - 19*l**3 - 9*l**3) in the form a*l**2 + q*l**3 + s*l + i*l**4 + z and give i.
-216
Express -3*a**2 - a**2 + 3*a**2 + (a + 2*a + 0*a)*(-5 + 5 - a) + 6410*a**2 - 3 + 5 - 6426*a**2 in the form y*a + l*a**2 + q and give l.
-20
Rearrange ((1 + 1 - 4)*(-11 + 24 - 19) + 1 - 1 + 2)*(219022 - 219022 + 583*t) to the form w + b*t and give b.
8162
Rearrange -35919 - 14*b**4 - 10*b - b**3 + 9*b + 35933 to the form z + s*b**4 + v*b**2 + p*b**3 + r*b and give s.
-14
Rearrange -21900*o**2 + 21900*o**2 + 3 - 153*o**3 to c*o**2 + p + v*o + b*o**3 and give p.
3
Rearrange (-5 + 4 - 2)*(-2 - 4 + 1)*(1528 - 1528 - 62*f) to c*f + k and give c.
-930
Express 18 - 169*f**2 + 41 - 170*f**2 + 338*f**2 in the form o*f + y + w*f**2 and give w.
-1
Express 15055*p + 11160*p - 29292*p in the form h*p + c and give c.
0
Rearrange 50730*k - 87578*k + 43530*k to the form f + y*k and give y.
6682
Rearrange (2 - 5 + 0)*(-3*s + 1012 + s - 1071)*(-5*s - s - 2*s + (0 + 0 - 2*s)*(6 - 3 - 1))*(-2 + 4 + 0) to the form n*s + f + z*s**2 and give z.
-144
Rearrange (-992*r + 99*r - 377*r + (-3 + 7 - 2)*(2*r - 2*r - r))*(1 + 0 + 1)*(5*r + 3*r - 4*r) to the form l*r + h*r**2 + p and give h.
-10176
Express 186*a - 345*a - 33 - 12*a**2 + 158*a - 72*a**2 in the form k + x*a**2 + v*a and give v.
-1
Express 95*w**4 - 153*w**4 + 1 + 160*w**4 + (-16*w**3 + 154*w - 154*w)*(3*w - 3*w - w) in the form i*w**2 + g + l*w + p*w**3 + z*w**4 and give g.
1
Rearrange ((2 - 2 + v)*(-5 + 3 + 3) - v - 3*v + 2*v + 101*v - 117*v - 130*v)*(6 - 1 - 1) - 2*v - 2 + 2 to the form p*v + z and give p.
-590
Express 590*b - 590*b + 53*b**3 + 3*b**3 - 13*b**3 - 3*b**3 + (2 - 4*b**2 - 2)*(-3*b - 3 + 3) as l*b**2 + d*b + o + m*b**3 and give m.
52
Express 14*i**2 - 14200*i + 7108*i + 7107*i in the form c*i**2 + g + t*i and give c.
14
Rearrange 1 + 627*d**3
|
{
"pile_set_name": "DM Mathematics"
}
|
56, 1332225, 1988624?
2831457
What comes next: 28043, 56084, 84125?
112166
What is the next term in 1449, 2741, 4033, 5325?
6617
What comes next: -6628, -13252, -19876, -26500, -33124?
-39748
What is the next term in -63081, -126110, -189139, -252168, -315197, -378226?
-441255
What is the next term in -21566, -86261, -194088, -345047?
-539138
What is the next term in 580188, 580184, 580180, 580176, 580172?
580168
What is next in -55, -42, -9, 56, 165?
330
What is next in -1239, -1382, -1523, -1662, -1799, -1934?
-2067
What comes next: -6116, -24367, -54792, -97397, -152188, -219171, -298352, -389737?
-493332
What is next in 4215, 16992, 38303, 68142, 106503, 153380, 208767, 272658?
345047
What comes next: -221947, -221962, -221977, -221992, -222007, -222022?
-222037
What is next in 1038, 8395, 28392, 67359, 131626, 227523, 361380?
539527
What is next in 37, 63, 91, 109, 105, 67, -17, -159?
-371
What comes next: -209, -403, -589, -761, -913, -1039, -1133, -1189?
-1201
What is next in -1668, -1664, -1658, -1650?
-1640
What is the next term in -22986, -22979, -22972, -22965?
-22958
What comes next: 839, 1211, 1595, 1997, 2423?
2879
What is next in 2026, 2071, 2144, 2251, 2398, 2591, 2836?
3139
What comes next: 26944, 26944, 26942, 26938, 26932, 26924, 26914?
26902
What is next in 2085, 4177, 6239, 8259, 10225, 12125?
13947
What is next in -1332, -2621, -3912, -5205, -6500?
-7797
What comes next: -9959, -19852, -29729, -39584, -49411?
-59204
What is the next term in -483, -1294, -2647, -4542?
-6979
What is next in 2301, 18358, 61943, 146820, 286753, 495506?
786843
What comes next: -12, -15, -40, -87, -156, -247, -360?
-495
What is next in 1499, 1535, 1571, 1607?
1643
What is the next term in 272, 611, 1106, 1835, 2876, 4307?
6206
What comes next: -4502, -4499, -4496, -4493, -4490?
-4487
What comes next: 9192684, 9192686, 9192690, 9192696?
9192704
What is the next term in 80479, 80491, 80501, 80509, 80515, 80519, 80521?
80521
What is the next term in -824, -853, -914, -1025, -1204, -1469?
-1838
What comes next: -58, -8, 150, 416, 790?
1272
What is the next term in 1750, 1771, 1814, 1891, 2014?
2195
What is next in -5768, -11535, -17294, -23045, -28788, -34523, -40250?
-45969
What is next in 179318, 358635, 537952, 717269, 896586, 1075903?
1255220
What is next in -7483, -14936, -22389, -29842, -37295, -44748?
-52201
What is the next term in 2170, 2198, 2244, 2308, 2390?
2490
What is the next term in -17344, -34668, -51992, -69316?
-86640
What comes next: -217, -1504, -4991, -11776, -22957, -39632, -62899, -93856?
-133601
What is the next term in -610, -4672, -15684, -37120, -72454, -125160?
-198712
What is next in 1673, 1743, 1919, 2249, 2781, 3563, 4643?
6069
What comes next: -759, -3086, -6963, -12390, -19367?
-27894
What comes next: -183, -67, 257, 897, 1961, 3557, 5793, 8777?
12617
What comes next: -5151, -5147, -5131, -5097, -5039?
-4951
What comes next: -34526, -34517, -34508, -34499, -34490, -34481?
-34472
What is next in 189016, 378031, 567046, 756061?
945076
What is next in -438, -528, -774, -1254, -2046, -3228, -4878?
-7074
What comes next: -11232, -11197, -11162, -11127, -11092, -11057?
-11022
What is next in 134388, 134392, 134398, 134406, 134416, 134428, 134442?
134458
What comes next: 301, 453, 605, 757, 909?
1061
What comes next: 978, 935, 892, 849, 806, 763?
720
What is the next term in 201, 428, 651, 870, 1085, 1296, 1503?
1706
What comes next: -1706, -4626, -8762, -14114, -20682, -28466?
-37466
What comes next: -378, -831, -1294, -1773, -2274?
-2803
What comes next: -996, -1186, -1388, -1608, -1852, -2126, -2436, -2788?
-3188
What is next in -59895, -119788, -179677, -239562, -299443, -359320, -419193?
-479062
What comes next: 3344, 3294, 3230, 3146, 3036, 2894, 2714, 2490?
2216
What is next in 55661, 111317, 166983, 222665, 278369, 334101?
389867
What is the next term in -337, -682, -1027, -1372, -1717, -2062?
-2407
What is next in 17, 5, -19, -55, -103?
-163
What is next in -232, -483, -748, -1021, -1296?
-1567
What is next in 2202, 2708, 3554, 4740, 6266?
8132
What comes next: 147130, 294266, 441400, 588532, 735662?
882790
What is the next term in -66443, -66412, -66383, -66356, -66331?
-66308
What is next in -13, 2, 107, 368, 851?
1622
What comes next: -338, -1363, -3070, -5459, -8530?
-12283
What comes next: 214863, 214864, 214867, 214872?
214879
What is next in 2626, 2120, 1614, 1108, 602?
96
What comes next: 4284, 4281, 4276, 4269, 4260?
4249
What is the next term in -20781, -20778, -20773, -20766, -20757, -20746, -20733?
-20718
What is the next term in 342662, 685323, 1027984, 1370645, 1713306?
2055967
What is the next term in 210, 260, 408, 702, 1190, 1920, 2940?
4298
What is the next term in -17745, -17731, -17715, -17697, -17677, -17655?
-17631
What comes next: 7691, 15420, 23149, 30878, 38607?
46336
What is the next term in 188, 224, 288, 380, 500?
648
What is the next term in -85, -271, -459, -649, -841, -1035?
-1231
What comes next: -33184, -66339, -99494, -132649?
-165804
What is next in -10837, -10920, -11003?
-11086
What comes next: 62, 56, 58, 74, 110, 172, 266, 398?
574
What is the next term in 3944, 4552, 5172, 5810, 6472, 7164, 7892, 8662?
9480
What comes next: -238741, -477480, -716217, -954952, -1193685, -1432416?
-1671145
What is the next term in -303, -1110, -2461, -4362, -6819, -9838?
-13425
What is next in -28740, -28742, -28744, -28746?
-28748
What comes next: 261, 742, 1223, 1704, 2185, 2666?
3147
What is next in 4144, 6999, 9852, 12703, 15552?
18399
What is the next term in 361, 167, -155, -599, -1159, -1829?
-2603
What comes next: -3420, -5484, -7548, -9612?
-11676
What is the next term in -2791563, -2791561, -2791559?
-2791557
What is next in -7154, -28697, -64594, -114839, -179426, -258349, -351602?
-459179
What is next in -2508, -5017, -7526, -10035?
-12544
What is the next term in 28083, 27936, 27789, 27642?
27495
What is the next term in 672, 5379, 18150, 43017, 84012, 145167?
230514
What comes next: 3352, 6707, 10060, 13411?
16760
What comes next: 893, 1735, 2575, 3413, 4249, 5083?
5915
What comes next: 303, 313, 325, 339, 355?
373
What comes next: 7293, 7345, 7397, 7449, 7501?
7553
What comes next: 951591, 951626, 951671, 951732, 951815?
951926
What is the next term in -870296, -870297, -870298?
-870299
What is the next term in 175, 381, 627, 913, 1239, 1605, 2011?
2457
What comes next: 5893, 11782, 17671, 23560, 29449, 35338?
41227
What comes next: 20, 107, 258, 473, 752?
1095
What comes next: -3239, -3232, -3225?
-3218
What comes next: -224, -353, -380, -299, -104, 211?
652
What is next in -2231, -4410, -6589, -8768, -10947, -13126?
-15305
What comes next: -607, -2186, -4739, -8266?
-12767
What is next in 580, 584, 586, 586, 584, 580, 574?
566
What is next in 662, 1342, 2026, 2708, 3382?
4042
What is the next term in 7691, 7725, 7799, 7925, 8115, 8381, 8735?
9189
What comes next: -287, -856, -1805, -3134, -4843, -6932, -9401?
-12250
What comes next: -7, -114, -407, -976, -1911?
-3302
What comes next: -1865, -3634, -5403, -7172, -8941, -10710?
-12479
What is next in -422167, -422159, -422147, -422131, -422111?
-422087
What is next in 3601, 14381, 32341, 57481, 89801, 129301?
175981
What is next in 222172, 222171, 222170, 222169, 222168, 222167?
222166
What comes next: 718, 1155, 1592, 2029, 2466, 2903?
3340
What comes next: 132, 574, 1328, 2394, 3772?
5462
What is the next term in -9152, -18305, -27458, -36611?
-45764
What comes next: -21, 437, 1173, 2181, 3455?
4989
What is the next term in -23251, -46437, -69621, -92803, -115983, -139161, -162337?
-185511
What is the next term in 689, 921, 1309, 1853, 2553?
3409
What is the next term in -389150, -389152, -389154, -389156?
-389158
What comes next: -242612, -485224, -727836, -970448?
-1213060
What comes next: -100545, -201111, -301677, -402243, -502809?
-603375
What is next in 33512, 33525, 33546, 33575, 33612, 33657, 33710?
33771
What is next in -63706, -63704, -63702, -63700?
-63698
What is the next term in -15476, -15463, -15440, -15401, -15340, -15251, -15128?
-14965
What is next in -1088713, -1088712, -1088711, -1088710, -1088709, -1088708?
-1088707
What comes next: 541, 420, 105, -500, -1491?
-2964
What is the next term in -290, -30
|
{
"pile_set_name": "DM Mathematics"
}
|
e
Is 179580242 a prime number?
False
Is 11624399 composite?
True
Is 16107113 a composite number?
True
Is 1085461 prime?
False
Is 130929289 prime?
False
Is 5920667 a prime number?
True
Is 19191281 a prime number?
True
Is 96368507 prime?
True
Is 1819145 prime?
False
Is 13475249 a prime number?
True
Is 1832567 a composite number?
True
Is 71047 prime?
False
Is 144041957 a prime number?
False
Is 984007 a prime number?
True
Is 14096023 a composite number?
False
Is 226483 composite?
False
Is 55111033 composite?
False
Is 66516521 a composite number?
False
Is 14689327 a composite number?
False
Is 1039267 a composite number?
True
Is 11400491 prime?
True
Is 70965127 a prime number?
False
Is 62803687 a prime number?
False
Is 36448831 a composite number?
True
Is 10276103 composite?
True
Is 35047 composite?
True
Is 714675821 composite?
False
Is 165523 prime?
True
Is 3062299 composite?
True
Is 49060267 composite?
True
Is 83917747 prime?
True
Is 473719 a composite number?
False
Is 94995281 a prime number?
True
Is 167053 composite?
True
Is 720527 a composite number?
False
Is 52982026 a composite number?
True
Is 1885387039 a prime number?
True
Is 20053243 a composite number?
True
Is 3083531 composite?
True
Is 104449713 a composite number?
True
Is 1380377 prime?
True
Is 3780951 a prime number?
False
Is 3801211 a composite number?
False
Is 579098683 prime?
True
Is 2739899 a prime number?
True
Is 573506762 composite?
True
Is 4859341 a composite number?
False
Is 145612801 prime?
True
Is 453267305 prime?
False
Is 46560333 composite?
True
Is 8675371 a composite number?
False
Is 25811339 composite?
False
Is 59219981 composite?
True
Is 281260261 a prime number?
False
Is 45702299 prime?
False
Is 721616893 a prime number?
True
Is 192737 a composite number?
False
Is 100835087 composite?
False
Is 4988939 a composite number?
True
Is 7816487 a prime number?
False
Is 21763 composite?
True
Is 43095967 a prime number?
True
Is 3904501 prime?
True
Is 4072279 a composite number?
False
Is 2212867 a prime number?
False
Is 5644547 a prime number?
True
Is 11653319 a prime number?
False
Is 168182947 a prime number?
False
Is 7075207 a prime number?
False
Is 81591103 a composite number?
True
Is 47106659 a prime number?
True
Is 70425421 prime?
False
Is 119653 composite?
False
Is 49420333 a prime number?
True
Is 521332807 a prime number?
True
Is 5725241 a composite number?
False
Is 1999133 composite?
True
Is 2612219 a composite number?
True
Is 2906329 prime?
False
Is 7015891 prime?
True
Is 16789111 a prime number?
True
Is 43282099 a prime number?
False
Is 26212607 prime?
False
Is 12970765 a prime number?
False
Is 563999 a composite number?
False
Is 797716561 composite?
False
Is 2045333 a composite number?
False
Is 3078833 composite?
False
Is 7678145 a prime number?
False
Is 5188151 a prime number?
False
Is 1683359 composite?
False
Is 8273935 a prime number?
False
Is 181649483 prime?
False
Is 18107471 a prime number?
True
Is 8805383 composite?
False
Is 11655157 a composite number?
False
Is 466449986 prime?
False
Is 90634945 prime?
False
Is 23036199 a composite number?
True
Is 46175321 composite?
False
Is 24393877 a prime number?
True
Is 4419823 a prime number?
True
Is 34624771 a composite number?
False
Is 146184529 composite?
True
Is 581657 a composite number?
False
Is 229104361 a composite number?
False
Is 15546878 prime?
False
Is 6954463 a composite number?
False
Is 1145057 a composite number?
False
Is 626689573 prime?
True
Is 304053163 a composite number?
False
Is 69483599 prime?
True
Is 3577099 prime?
True
Is 48327589 a prime number?
True
Is 62896195 a composite number?
True
Is 26009207 a prime number?
False
Is 380503 a composite number?
False
Is 417509 a composite number?
False
Is 9123007 a composite number?
True
Is 61916863 a prime number?
True
Is 1499101 prime?
False
Is 10401187 a composite number?
False
Is 6871351 prime?
True
Is 585523 prime?
False
Is 19835773 prime?
True
Is 1017997 a prime number?
True
Is 1683749 prime?
True
Is 11450677 a prime number?
False
Is 35811071 a prime number?
True
Is 1324949 prime?
True
Is 211420003 composite?
False
Is 6627545 a prime number?
False
Is 16170142 prime?
False
Is 1009430447 prime?
True
Is 26539195 a composite number?
True
Is 64808005 prime?
False
Is 2035537 a prime number?
False
Is 22629962 a composite number?
True
Is 24359639 a prime number?
True
Is 74019643 a prime number?
True
Is 6933691 composite?
True
Is 565723 prime?
True
Is 12233579 prime?
True
Is 65810183 composite?
True
Is 535685 a prime number?
False
Is 2154209 prime?
True
Is 42664157 a prime number?
True
Is 329277181 a prime number?
False
Is 7462447 a prime number?
False
Is 120797737 a prime number?
True
Is 21750089 a composite number?
True
Is 93994871 prime?
False
Is 1189891 prime?
True
Is 58960337 composite?
True
Is 4840673 a composite number?
True
Is 2896385 a composite number?
True
Is 4365743 a composite number?
True
Is 10255741 a composite number?
False
Is 19716929 a composite number?
False
Is 21744106 a prime number?
False
Is 4316461 a prime number?
True
Is 242109929 a composite number?
True
Is 9737953 composite?
False
Is 5478371 prime?
True
Is 220367009 prime?
True
Is 6479231 a composite number?
True
Is 260575247 a prime number?
False
Is 2918821 a prime number?
False
Is 1555382113 prime?
True
Is 17237527 a prime number?
True
Is 32894635 a composite number?
True
Is 33837037 composite?
True
Is 41339 composite?
True
Is 211181861 a composite number?
True
Is 855751 a composite number?
True
Is 3540949 composite?
True
Is 5865497 prime?
False
Is 2953049 a composite number?
True
Is 4890199 prime?
True
Is 3769489 prime?
True
Is 3789671 a composite number?
True
Is 8422529 composite?
True
Is 2095077 prime?
False
Is 1268807 prime?
True
Is 58233163 composite?
True
Is 55716421 a composite number?
False
Is 591317 prime?
True
Is 9218521 a composite number?
True
Is 25327355 prime?
False
Is 2297947 prime?
False
Is 106300049 prime?
True
Is 1153891 a prime number?
True
Is 7985561 a composite number?
False
Is 133547 prime?
False
Is 323153 a composite number?
True
Is 149521759 a prime number?
True
Is 1362551 a prime number?
True
Is 6829997 a prime number?
True
Is 204044879 prime?
True
Is 2666731 a composite number?
True
Is 238753 composite?
True
Is 19234447 a composite number?
False
Is 200782294 composite?
True
Is 24233663 prime?
True
Is 2088859 a composite number?
True
Is 1433899 a prime number?
False
Is 83939651 a prime number?
False
Is 151523605 prime?
False
Is 790567 prime?
True
Is 5445766 composite?
True
Is 113560373 a prime number?
True
Is 1549937 a composite number?
False
Is 15827621 prime?
True
Is 528020111 a prime number?
False
Is 482454113 a prime number?
True
Is 57422341 composite?
False
Is 458849 prime?
True
Is 2139385 composite?
True
Is 72113077 a prime number?
True
Is 93401003 a composite number?
False
Is 3808859 prime?
False
Is 8663617 prime?
False
Is 13001321 a prime number?
True
Is 328598161 prime?
False
Is 17083337 composite?
True
Is 7470109 a composite number?
True
Is 82417123 a prime number?
False
Is 3125666 composite?
True
Is 3227640701 a prime number?
True
Is 502775003 a composite number?
True
Is 3746317 a prime number?
True
Is 1572509 a prime number?
True
Is 6047198 a composite number?
True
Is 91616869 composite?
False
Is 2149478807 a prime number?
False
Is 15875599 a composite number?
False
Is 90648599 a composite number?
False
Is 53612365 prime?
False
Is 1551367 a prime number?
False
Is 38141029 a prime number?
False
Is 7231589 composite?
True
Is 34716109 a composite number?
False
Is 15465309 composite?
True
Is 1263023 prime?
False
Is 18804283 a prime number?
True
Is 45865499 a composite number?
True
Is 20274751 a composite number?
True
Is 6360943 composite?
False
Is 948731 a prime number?
False
Is 155787 a prime number?
False
Is 98053 prime?
False
Is 598044039 a composite number?
True
Is 186191987 a prime number?
False
Is 172847 a prime number?
False
Is 1826483 a prime number?
False
Is 596381 prime?
False
Is 633293 a prime number?
False
Is 2796203 a prime number?
True
Is 9253957 prime?
True
Is 44789 a prime number?
True
Is 213087937 a prime number?
True
Is 1919089 prime?
False
Is 811731 composite?
True
Is 2499383 composite?
False
Is 99031181 a composite number?
False
|
{
"pile_set_name": "DM Mathematics"
}
|
ct of 73721 and 0.14?
10320.94
Calculate 4295*-0.016.
-68.72
What is 0.4 times 8374?
3349.6
45 times 0.00792
0.3564
1551409 * 1
1551409
Work out -13.68 * -25.
342
Work out -0.14 * -0.049357.
0.00690998
Work out 0.24 * -9092.
-2182.08
Product of 5 and 798.48.
3992.4
11370 * -0.02
-227.4
What is -2.716 times 0.3?
-0.8148
Product of 22882 and 0.08.
1830.56
-65855.6 times 0
0
Work out -2364 * 0.123.
-290.772
-0.6*221
-132.6
Calculate -0.1*-4473.
447.3
Calculate -56*-16.44.
920.64
What is the product of 18534 and -3?
-55602
-7093.3*5
-35466.5
17 * -1.817
-30.889
-73.5237*-0.1
7.35237
Work out 1 * 1.50442.
1.50442
Multiply 0.003 and -0.9707.
-0.0029121
What is the product of -0.1 and -132059?
13205.9
-567.4 times 184
-104401.6
-6310 times 8
-50480
Calculate -618.66*0.5.
-309.33
Calculate 1.6323*-4.
-6.5292
Product of 6 and 1.925.
11.55
-0.3 * -3109.26
932.778
What is -0.137759 times 5?
-0.688795
What is 6833 times -0.05?
-341.65
What is -8 times -14289?
114312
Product of -170 and -0.603.
102.51
Product of 4 and 565372.
2261488
Product of 3 and 2.28165.
6.84495
Product of -0.231 and 5404.
-1248.324
Calculate 12012.22*-0.1.
-1201.222
What is the product of -32.6853 and 14?
-457.5942
Calculate 3.8*60.3.
229.14
Product of 0.5 and -1709600.
-854800
What is 0.257177 times -0.5?
-0.1285885
Multiply -5122178 and -0.5.
2561089
177 * -0.26
-46.02
Calculate -40823*0.12.
-4898.76
What is the product of -102 and -170?
17340
-1*2228.4
-2228.4
What is the product of 2469 and 1404?
3466476
Product of 4 and 48.23.
192.92
0 times -1808.88
0
Product of -0.05 and -13912.
695.6
32 * 2.36972
75.83104
What is 228263 times -3?
-684789
Multiply -0.9 and -333797.
300417.3
What is -1143.72 times 0.8?
-914.976
Multiply 1386 and -0.04.
-55.44
0.0981 * -0.57
-0.055917
What is the product of -19 and -772?
14668
-1241.2 * -0.51
633.012
Product of -55 and 5.9.
-324.5
What is the product of -11 and 5744?
-63184
73822 times 0.5
36911
What is the product of -3 and -0.077394?
0.232182
Multiply 0.298 and 0.029.
0.008642
0.123*-29869
-3673.887
Multiply 0.7 and 81.5.
57.05
What is 0.995 times -64.2?
-63.879
-0.1873 * -258
48.3234
-337 * -502
169174
Work out 0.1374 * -95.
-13.053
What is 1264 times 2.673?
3378.672
157903 times -3
-473709
Calculate 0.238*-522.
-124.236
-1561673.1 times 0.1
-156167.31
Work out 96633 * 0.5.
48316.5
Work out 7632 * 0.4.
3052.8
Work out -104 * -348.
36192
What is 2.9763 times 0.26?
0.773838
What is -9 times 36280?
-326520
Product of 951 and -52.
-49452
Product of -21 and 16361.
-343581
Calculate 2.1*230.7.
484.47
-47229 * 8
-377832
What is the product of 0.06 and 229.7?
13.782
What is 804.3 times 11?
8847.3
Calculate -310*0.0272.
-8.432
What is -3 times 34009?
-102027
What is -16751 times 0.138?
-2311.638
Work out -0.4 * -1274528.
509811.2
2.5*-5042
-12605
What is 7834 times 1.8?
14101.2
-2445 * 5
-12225
-0.31696 * 5
-1.5848
Multiply -29 and 16.08.
-466.32
22225 times 0.2
4445
-0.1 times 170766
-17076.6
Work out 1642 * 0.046.
75.532
Multiply 213 and 2.81.
598.53
Multiply 27152.2 and 0.5.
13576.1
Calculate 0.5*35.765.
17.8825
0.41*-0.17717
-0.0726397
What is 67937 times -0.2?
-13587.4
Multiply 0.183 and 31.
5.673
Work out 141 * 1492.
210372
15*7849
117735
-16*2.166
-34.656
-18.492 times -0.9
16.6428
-6*51322
-307932
Calculate -314.433*0.1.
-31.4433
16*-7017
-112272
Product of 1 and 10920.
10920
Product of 206 and -1006.1.
-207256.6
Multiply -16564.6 and 4.
-66258.4
Product of -0.06 and 1331.
-79.86
Product of 27 and -669.
-18063
Work out 2 * 56876.
113752
3*0.00451
0.01353
1727 times -0.1
-172.7
What is the product of 100341 and -0.3?
-30102.3
Multiply 18 and -1.0423.
-18.7614
-17954 * -1
17954
What is -59298 times 1.1?
-65227.8
Work out 19.47 * -34.
-661.98
Work out 0.55 * -259.
-142.45
Multiply 552 and 895.
494040
-4433 times -8
35464
Product of -2.1 and -253.
531.3
Multiply 13 and -2.1149.
-27.4937
What is -1318390 times 0?
0
Multiply 0.3 and -0.18835.
-0.056505
Work out -10.305 * -0.5.
5.1525
What is 0.4 times -0.21474?
-0.085896
Multiply -190 and 0.1968.
-37.392
Product of 0.0786 and 4.4.
0.34584
-11.234 times -0.203
2.280502
Product of 4 and 5.45531.
21.82124
-1 times 7322
-7322
Work out 69670 * -7.
-487690
Work out -5305 * 203.
-1076915
Multiply -0.2865 and -2.6.
0.7449
Work out -0.5793 * 0.16.
-0.092688
-5*-3111.9
15559.5
Product of -146.2 and 2.9.
-423.98
3410*-3
-10230
Product of 487 and 32.
15584
What is 1 times -9150?
-9150
Product of -5 and 96244.
-481220
6748 times 0.5
3374
Calculate -13676*0.05.
-683.8
0.615*0.167
0.102705
-1467*-7
10269
Product of -164987 and 0.05.
-8249.35
-111 * -10.62
1178.82
Calculate -4.9397*-0.4.
1.97588
15696*3
47088
Multiply -2251 and -0.027.
60.777
2357274*0.2
471454.8
Calculate 2*-1.502.
-3.004
Work out 85 * 899.
76415
-3*-52.59
157.77
-524 * 0.0374
-19.5976
Product of -0.0462 and -131.
6.0522
Product of 1 and -483.
-483
What is -0.07 times 101714?
-7119.98
-262.1215 * -0.1
26.21215
1*212.67
212.67
Product of 0.02 and 5.32.
0.1064
Calculate 837.53*-4.
-3350.12
What is the product of 2.9 and 0.3097?
0.89813
Product of -26156 and -3.
78468
6479 times 9
58311
Product of -0.1 and -0.7924.
0.07924
0.027*-60
-1.62
Calculate -4*-0.02014.
0.08056
What is -1.2 times -15526?
18631.2
Multiply -31.26391 and -0.1.
3.126391
Work out 0.2 * -0.00052.
-0.000104
-3*-0.3264
0.9792
What is the product of 41 and 68?
2788
Work out -2.0738 * -4.
8.2952
Product of 229888 and -0.3.
-68966.4
17.4 times 747
12997.8
What is 1755 times -0.2?
-351
-0.3 * -43014
12904.2
What is the product of 0.1044706 and 5?
0.522353
-471 times -7018
3305478
5 times 378.36
1891.8
8 times -622
-4976
Product of -41.8 and -2.3.
96.14
What is the product of 0.2 and 69597.2?
13919.44
What is the product of 5 and -0.1667161?
-0.8335805
Multiply -841 and -245.
206045
What is the product of -497811 and 8?
-3982488
Multiply 0.05 and -0.33.
-0.0165
What is 1109 times 5.8?
6432.2
What is -3962.9 times 0.03?
-118.887
3 times 4854
14562
What is the product of -544.8283 and -3?
1634.4849
What is 0 times -6066.9?
0
What is 1123 times -52.19?
-58609.37
Calculate 3*-2700.
-8100
Multiply 0 and -0.9497.
0
Multiply 0.1 and 0.74153.
0.074153
0.4*70.7
28.28
-142*3526
-500692
-3 * -0.1393
0.4179
What is the product of -0.0313 and -1145?
35.8385
What is the product of -3 and -285.92?
857.76
-1920 * -0.3
576
Work out 12.9 * 753.
9713.7
Multiply -0.3 and 0.1102563.
-0.03307689
Calculate 41862*8.
334896
Calculate -0.013132*20.
-0.26264
What is the product of 32.1 and 0.1197?
3.84237
Product of 2 and 80118.
160236
Product of 0.03 and 4245.2.
127.356
Work out -5 * -45615.
228075
Product of 68 and -0.25072.
-17.04896
Multiply 199 and -0.229.
-45.571
0.073 * 0.433
0.031609
Product of 36.354 and 0.
0
What is the product of 0.9 and 9.94796?
8.953164
Work out 13 * -0.1914.
-2.4882
Work out -0.21398 * 67.
-14.33666
0.4*1237897
495158.8
Product of 3 and -0.41773.
-1.25319
Calculate 672350*-0.1.
-67235
What is 0.827 times -1.226?
-1.013902
What is the product of -8.5 and 646?
-5491
23988.2 * 0.8
19190.56
What is -15934 times -11?
175274
Calculate -0.01945*-0.0549.
0.001067805
495949 * 1
495949
What is the product of 1 and -686.1?
-686.1
What is the product of 78 and 151?
11778
-637.713*-1
637.713
Product of -2484159 and -2.
4968318
What is 0.100516 times 4?
0.402064
-4 times -15.396
61.584
Work out 5 * -21851.
-109255
What is the product of -14341 and -76?
1089916
Product of -820 and 187.
-153340
2446 * 1.5
3669
Calculate -0.13*-29009.
3771.17
0.2*-752534
-150506.8
0.22 * 3154
693.88
What is the product of -2 and -0.9777?
1.9554
-109.31 * -1.3
142.103
What is the product of -4 and 0.298571?
-1.194284
Calculate -0.4*386005.
-154402
Multiply -0.4 and -1.0469.
0.41876
0.5*-19891
-9945.5
Multiply 0.4 and -10935.
-4374
Product of 0.4 and 10583.9.
4233.56
Work out -18.15038 * -0.5.
9.07519
Calculate -0.195735*2.
-0.39147
465*30
13950
What is the product of -0.09 and 144656?
-13019.04
Multiply 728 and 27.1.
19728.8
Calculate 13*38.
494
Product of 4035032 and 0.5.
2017516
879 times 23
20217
Product of 276473 and 0.4.
110589.2
-3934.2*-0.4
1573.68
964 times 0.0221
21.3044
-37*-16.57
613.09
What is 1.048 times -0.5?
-0.524
Product of -0.12 and 17719.
-2126.28
Calculate -0.35427*2.
-0.70854
-0.1*414298
-4142
|
{
"pile_set_name": "DM Mathematics"
}
|
c - n*c - 7*c. Determine z(v(x)).
-14*x
Let f(r) = -3*r**2 + 11688*r. Let b(v) = -82*v. Give f(b(z)).
-20172*z**2 - 958416*z
Let k(q) = 35*q**2 + 207*q**2 - 251*q**2. Let p(b) = -114*b. What is k(p(f))?
-116964*f**2
Let j(i) = 3. Let b(p) = p + 6. Let f(q) = -3*b(q) + 12*j(q). Let u(l) = 15*l. Calculate f(u(k)).
-45*k + 18
Let u(h) be the second derivative of 0*h**2 - 4*h + 2 + 29/6*h**3. Let k(o) = 3*o. Give u(k(a)).
87*a
Let u(v) = -167614*v**2 + 83809*v**2 + 83808*v**2. Let a(q) = 68*q**2 + 2*q + 11. Calculate a(u(f)).
612*f**4 + 6*f**2 + 11
Let y(j) be the second derivative of -j**4/4 - 43*j + 4. Let s(p) = -14*p + 3. Let i(q) = 253*q - 55. Let a(h) = -3*i(h) - 55*s(h). What is a(y(g))?
-33*g**2
Let s(p) = -2*p. Let a(w) be the third derivative of -89*w**4/24 + 5*w**3/6 - 1266*w**2. Calculate a(s(h)).
178*h + 5
Let p(s) be the third derivative of 13*s**4/12 + 2952*s**2. Let n(q) = 2*q**2. Give n(p(z)).
1352*z**2
Let d(y) = -y**2. Let r(j) be the second derivative of -27/2*j**2 + 0*j**3 + 0 + 8*j + 1/24*j**4. Let w(q) be the first derivative of r(q). Determine w(d(s)).
-s**2
Let k(m) = 39*m - 30. Let w(v) = 77*v - 55. Let r(t) = 11*k(t) - 6*w(t). Let q(l) be the second derivative of 0*l**2 + 0 + 1/3*l**3 + 4*l. Give q(r(b)).
-66*b
Let c(i) = -5*i - 35639. Let b(y) = 19*y**2. Determine c(b(s)).
-95*s**2 - 35639
Let j(x) be the first derivative of -131 + 1/2*x**2 + 0*x. Let a(c) = 3*c + 1. What is a(j(p))?
3*p + 1
Let i(o) = -17*o + 6. Let t(f) = 15*f - 4. Let l(c) = -6*i(c) - 7*t(c). Let w(h) = -8*h - 16. Let a(d) = -5*l(d) + 2*w(d). Let v(r) = 2*r. Determine a(v(n)).
-2*n + 8
Let f(n) = -4*n + 10. Let h(a) be the third derivative of a**4/12 - 2*a**3/3 - 2*a**2 - 7*a. Let y(i) = -2*f(i) - 5*h(i). Let j(z) = -24*z. Calculate y(j(d)).
48*d
Let m(g) = 398826*g - 2. Let p(l) = 63*l. Give p(m(q)).
25126038*q - 126
Let k(j) = 140281261*j**2. Let m(c) = 3*c**2. Calculate m(k(b)).
59036496563250363*b**4
Let s(v) = 120*v + 480. Let a be s(-4). Let w(y) be the third derivative of 0*y**3 + 0*y + a - 16*y**2 - 1/60*y**5 + 0*y**4. Let k(x) = 15*x. Determine w(k(i)).
-225*i**2
Let s(h) = -69*h + 2. Let f(j) = 2*j**2 - 2892*j. What is s(f(w))?
-138*w**2 + 199548*w + 2
Let y(m) = 1946*m - 207*m + 676*m + 1505*m. Let v(a) = 2*a. What is v(y(o))?
7840*o
Let k(g) = -411*g + 2. Let v(i) = -7*i**2 - 23. What is k(v(c))?
2877*c**2 + 9455
Let b(s) = -472*s. Let q(k) = 8*k**2 + 28719*k - 1. What is q(b(w))?
1782272*w**2 - 13555368*w - 1
Let h(l) = -2*l**2. Let s(w) = -1060*w - 614*w + 610*w - 2279*w. Give s(h(r)).
6686*r**2
Suppose 20*v = 4*v + 96. Let l(m) = 12 - 11 + v*m**2 - 1. Let p(n) = 2*n**2. Calculate p(l(a)).
72*a**4
Let h(q) = 2*q**2. Let c = 80 + -135. Let f(m) = -4240*m. Let l(b) = 157*b. Let w(r) = c*l(r) - 2*f(r). Calculate h(w(v)).
48050*v**2
Let o(c) = -18*c. Let d(p) = 698201*p. What is o(d(s))?
-12567618*s
Let x(m) = 112064 + 95*m + m**2 - 112064. Let f(q) be the third derivative of q**5/60 - 3*q**2 + 36. Give x(f(g)).
g**4 + 95*g**2
Let d(y) = 198*y + 1. Let o(u) be the first derivative of -4*u**3/3 + 4515. Determine o(d(g)).
-156816*g**2 - 1584*g - 4
Let y(i) be the first derivative of 4 + 0*i - 1/2*i**2. Let r(u) = 14*u**2 - 3*u - 3. Let l(h) = 43*h**2 - 8*h - 8. Let w(s) = 3*l(s) - 8*r(s). Give y(w(m)).
-17*m**2
Let h(w) = -2*w - 11. Let c(p) be the first derivative of -34 - 24*p**2 + 58*p**2 - 35*p**2. Determine c(h(f)).
4*f + 22
Let t(f) = 28*f - 274 + 274. Let v(x) = x**2 - 4*x. Let o(p) = p**2 - 5*p. Suppose -9*k + 4*k + 25 = 0. Let b(a) = k*v(a) - 4*o(a). Calculate b(t(l)).
784*l**2
Let a(x) = x**2. Let v(k) = -4228409*k**2. Determine a(v(j)).
17879442671281*j**4
Let j(g) = -7346*g - 5. Let h(m) = 929277*m + 632. Let y(x) = 5*h(x) + 632*j(x). Let d(c) = c**2. Give y(d(w)).
3713*w**2
Let g(i) = 167*i - 3261. Let y(j) = -8*j. Calculate y(g(d)).
-1336*d + 26088
Let x(w) = 59158*w**2 + 2*w + 1. Let t(k) = -30*k. What is x(t(p))?
53242200*p**2 - 60*p + 1
Let u(c) be the first derivative of 389*c**3/3 + 2*c**2 - 1304. Let y(q) = q. Determine u(y(g)).
389*g**2 + 4*g
Let f(a) be the second derivative of 0*a**2 + 102*a + 0 + 0*a**3 - 1/4*a**4. Let b(h) = 8*h**2. Determine b(f(v)).
72*v**4
Let d(n) = -n. Let c(j) be the second derivative of -53*j**3 - 252*j + 2. Calculate c(d(a)).
318*a
Let x(m) = 1942175 - 2*m**2 - 1942175. Let b(q) = -215*q**2. Give b(x(l)).
-860*l**4
Let f(v) = 468*v. Let q(n) = -452 - 3*n**2 + 225 + 2*n**2 + 227. What is q(f(z))?
-219024*z**2
Let g(o) = -200*o. Let n(q) = -13933*q - 2. Determine n(g(k)).
2786600*k - 2
Let y(k) = 194836748*k. Let b(x) = -2*x. Give y(b(j)).
-389673496*j
Let i(s) be the first derivative of s**2 - 34. Let h(n) be the first derivative of -7*n**3/3 - 5*n - 273. Calculate i(h(y)).
-14*y**2 - 10
Let c(j) be the second derivative of 7*j + 0 + 1/2*j**2 - 2/3*j**3. Let r(v) be the second derivative of v**4/6 + 3*v - 3. Give r(c(l)).
32*l**2 - 16*l + 2
Let r(f) = -f**2. Let b(y) = 160869361*y. Determine r(b(g)).
-25878951308548321*g**2
Let s(z) = 10*z - 2. Let r(x) be the first derivative of -13*x**2/2 + 368. Calculate s(r(g)).
-130*g - 2
Let c(a) be the second derivative of 2/3*a**3 + 0 - 2*a + 0*a**2. Let q(x) = -901*x - 1001*x + 1902*x - 7*x**2. Determine q(c(i)).
-112*i**2
Let b(v) = -v**2. Let o = -4709 - -4709. Let f(g) be the second derivative of 0*g**2 + 11/6*g**3 + o + 31*g. Determine f(b(d)).
-11*d**2
Let t(i) = 14*i**2. Let c(m) be the third derivative of 0*m + 0*m**3 + 0 + 0*m**4 + 142*m**2 + 1/60*m**5. Determine c(t(u)).
196*u**4
Let u(j) = -15*j - 16*j + 43*j - 24*j + 12. Let l(m) = 3*m**2. Give l(u(o)).
432*o**2 - 864*o + 432
Let y(g) be the second derivative of -g**7/280 - 113*g**4/6 + 75*g - 1. Let h(b) be the third derivative of y(b). Let l(i) = -12*i. Determine l(h(u)).
108*u**2
Let s(a) = 229137529*a**2. Let o(u) = -u**2. Calculate o(s(n)).
-52504007196225841*n**4
Let y(w) = -15*w - 486. Let j(f) = 4*f + 135. Let u(t) = 18*j(t) + 5*y(t). Let s(o) = 1645*o. What is u(s(b))?
-4935*b
Let g(h) = -27*h - 2 + 65*h - 42*h. Let d(s) = -21*s - 11. Let i(p) = 2*d(p) - 11*g(p). Let x(m) = -24*m**2. What is x(i(q))?
-96*q**2
Let w(s) be the first derivative of -229*s**3 + 6467. Let i(t) = 3*t. Determine i(w(j)).
-2061*j**2
Let q(d) = -d**2. Let j(l) = 180*l**2 - 928 + 1889 - 965. Give q(j(k)).
-32400*k**4 + 1440*k**2 - 16
Let j(n) = 3*n. Let d(m) = 4589*m + 140. Calculate d(j(o)).
13767*o + 140
Let u(q) = 13*q. Let o(i) = -1065*i. Let m(v) = -4*o(v) - 330*u(v). Let j(k) be the first derivative of k**2/2 + 5739. What is m(j(a))?
-30*a
Let v(k) = -262*k**2 - 1. Let t(g) = -13*g - 18. Let r be (-5 + 3 - -3)*(1 - -1). Let c(u) = 3*u + 4. Let h(y) = r*t(y) + 9*c(y). Give v(h(l)).
-262*l**2 - 1
Let o(z) = -54*z**2. Let a(j) = -526*j**2 + 91*j. Calculate a(o(k)).
-1533816*k**4 - 4914*k**2
Let a(p) = -13*p. Let v(u) = 5*u + 33232. What is a(v(h))?
-65*h - 432016
Let v(y) = 2146*y. Let x(p) = p**2 - 7187*p. Determine v(x(s)).
2146*s**2 - 15423302*s
Let y(p) = -22119*p. Let n(k) = -2*k + 883. What is y(n(t))?
44238*t - 19531077
Let u(j) = 95*j + 94*j + 98*j - 287*j - 3*j**2. Let n(d) = -514*d**2 + 1. What is u(n(w))?
-792588*w**4 + 3084*w**2 - 3
Let j(o) = -18*o. Let p(x) = x**3 + 4*x**2 - 3*x + 5. Let i(u) = u - 1. Let t(g) = 5*i(g) + p(g). Let h be t(-3). Let l(c) = 210 - h*c - 210. Determine j(l(d)).
54*d
Let g(l) = 49*l**2 + 2. Let b(p) = -2*p**2 + 798*p + 72. Determine b(g(k)).
-4802*k**4 + 38710*k**2 + 1660
Let j(o) = o**2. Let w(q) = 72*q**2 + 12*q + 7. Let y(a) = -47 + 9*a + a + 53 + 91*a**2 - 18*a**2. Let z(h) = -5*w(h) + 6*y(h). Calculate z(j(p)).
78*p**4 + 1
Let r = 11 + -7. Let d(x) = -4 + 3*x**2 + r + 2*x**2. Let i(y) = -264*y + 572. Let f(h) = 11*h - 24. Let s(l) = -143*f(l) - 6*i(l). Determine s(d(j)).
55*j**2
Let t(k) = -24*k. Let c(o) be the first derivative of 0*o - 7/2*o**2 + 84. Give t(c(a)).
168*a
Let t(a) = -3306*a - 6. Let p(k) = -6*k. What is p(t(y))?
19836*y + 36
Let i(h) = 43*h - 2. Let z(d) be the third derivative of -d**6/720 + 33*d**4/8 + 3*d**2 - 17*d. Let y(b) be the second derivative of z(b). What is y(i(j))?
-43*j + 2
Let c(d) = -3*d. Let s(m) = -15*m. Let k(q) = 6*c(q) - s(q). Let t = 29 - 20. Let v(r) = 0*r + 0*r + t*r**2. Give v(k(u)).
81*u**2
Let m(p) = p + 63. Let l
|
{
"pile_set_name": "DM Mathematics"
}
|
f (300/4)/(3/6)?
False
Let s(n) = 5*n - 21. Is s(9) a multiple of 22?
False
Suppose -421 = -2*f + 257. Is f/15 + (-4)/(-10) a multiple of 13?
False
Let b(z) = -11*z**2 + 35*z + 10. Let i(n) = -7*n**2 + 23*n + 7. Let m(w) = 5*b(w) - 8*i(w). Let g be m(10). Does 3 divide (g/1)/(10/15)?
True
Suppose 0 = 5*p - 339 + 99. Does 14 divide p?
False
Let s(j) = 2*j**2 + 11*j. Is s(-9) a multiple of 23?
False
Let x = 101 + -5. Does 6 divide x?
True
Let w(s) = s**3 - 5*s**2 - 6*s + 4. Let g be w(6). Suppose 10 = 2*p - g. Is 2 a factor of p?
False
Let b(m) = m**2 - 5*m + 1. Let q be b(5). Is (8 - 1)/(q/1) a multiple of 4?
False
Let w be (14/3)/((-12)/(-90)). Is 10/(-3)*(-63)/w a multiple of 6?
True
Is (-20)/(-16)*(-1 + 25) a multiple of 10?
True
Does 14 divide (-2)/(8/(-26))*12?
False
Suppose -b + 0 + 3 = 0. Let y(l) = -2 + l - 1 - 2*l + b*l. Is y(7) a multiple of 3?
False
Let o(s) be the first derivative of 2 + 2*s + 3/2*s**2. Does 10 divide o(4)?
False
Let f = 72 - 47. Does 5 divide f?
True
Suppose 2*t - 2 = 2*z + 4, 0 = 4*t + 4*z - 4. Suppose -28 + 16 = -d. Let k = d + t. Does 9 divide k?
False
Suppose t + t - 72 = 0. Suppose 3 + t = 3*x. Is x a multiple of 4?
False
Let j = 9 - 7. Let i be 12*(j + 15/(-12)). Suppose 2 = -p + i. Does 3 divide p?
False
Let t(u) = -2 + 9*u**2 - 7*u**2 + 4*u + 0*u**2. Is 14 a factor of t(-4)?
True
Suppose -25 = -2*f + 27. Is f a multiple of 13?
True
Suppose 52 = -4*g + 4*m, -4*m + 40 = -2*g + 4. Let j = g + 11. Suppose j*c - 12 = 12. Is 8 a factor of c?
True
Let t be -19*(1 - (-2)/(-1)). Suppose t = -4*x + 91. Suppose -x = 3*i - 48. Is i a multiple of 5?
True
Let a(i) = i**2 - 2*i + 2. Does 9 divide a(6)?
False
Suppose -2*r - 5 = -5*g, 5 + 7 = -g + 3*r. Suppose 2*m = w + g - 26, -2*m = 2*w - 70. Suppose -4*c + 81 = 4*x - w, 5*x = -4*c + 114. Is 13 a factor of c?
True
Let i(f) = f + 5. Is i(17) a multiple of 5?
False
Let v = -19 - -8. Let r(o) = -4*o**2 + 5*o. Let h be r(4). Let z = v - h. Is 18 a factor of z?
False
Let k = 38 - -10. Is 16 a factor of k?
True
Let s = 150 + -38. Does 28 divide s?
True
Let b(n) = -5*n**3 + n**2 + n + 1. Suppose -5*r - d = -4*d - 4, -5*r - 3*d = -16. Let s = r + -3. Is b(s) a multiple of 3?
True
Let b = 17 - 3. Does 5 divide b?
False
Let q(b) = b + 1. Let v(o) = 36*o + 28. Let d(t) = 56*q(t) - 2*v(t). Let h be d(1). Let n = h + 37. Is n a multiple of 12?
False
Let g be 1 + 1*(-18)/(-2). Let n be 376 - (3 + 2 + -4). Suppose g*h - n = 5*h. Does 21 divide h?
False
Is 5 - 2/3*-6 a multiple of 3?
True
Suppose 2*q - 3 = 3*q. Is ((-36)/8)/(q/12) a multiple of 6?
True
Suppose 105 = 4*q + 9. Does 24 divide q?
True
Suppose 26 = 3*d - 13. Let c = d + -2. Is 3 a factor of c?
False
Let m = 145 + -83. Suppose 2*q = 2*d - m, 1 + 161 = 5*d + 2*q. Is d a multiple of 11?
False
Let w(i) = -15*i - 1. Let v be w(-6). Let z = -38 + v. Does 17 divide z?
True
Suppose -r - 13 = 40. Let a = -38 - r. Is a a multiple of 4?
False
Let g(c) = -c**2 - 7*c - 6. Let n be g(-5). Suppose 0 = 2*h + 8, -4*h - 219 = -n*x + 49. Suppose l - s = -l + 47, 3*l + s - x = 0. Does 11 divide l?
True
Let g(k) = -2*k + 3. Is g(-10) a multiple of 4?
False
Let n(x) = -x**2 - 12*x + 17. Let t be n(-13). Let r(k) = 1. Let b(c) = -c**3 + 3*c**2 + 2*c + 1. Let h(p) = -b(p) - r(p). Is h(t) a multiple of 2?
True
Let m(g) = g**2 - 8*g + 8. Let q be m(6). Is 6/q*22/(-3) a multiple of 11?
True
Let o(u) = u**2 + 3*u - 5. Let r be o(-5). Let j(q) = q**2 + 0 - 2*q - 6 + 4. Is 12 a factor of j(r)?
False
Is 10 a factor of 1/(-3) + 217/21?
True
Does 3 divide (-20)/(-90) + 1/(9/268)?
True
Let w(a) be the second derivative of 13*a**4/6 + a**3/6 - a**2/2 + 2*a. Does 14 divide w(1)?
False
Let b be (2 - 1)*(-1 + -23). Let w = 42 + b. Is 9 a factor of w?
True
Suppose 2*g - 6 = -5*m, 0 = 2*m + 5*g - 3*g. Suppose -5*b - 2*k = -103, 3*b + m*k - 61 = -0. Does 11 divide b?
False
Suppose -5*z - w + 1057 = 0, -7*w + 200 = z - 3*w. Let h = z + -135. Suppose 17 = -4*s + h. Is 15 a factor of s?
True
Let g be (3 - 2)*(1 + -1). Suppose g = v - 0 + 1. Is 2*v + 18 + -2 a multiple of 5?
False
Suppose 3*k - 75 = -2*k. Is 15 a factor of k?
True
Let h = 2 + 1. Suppose 6*j = 2*q + h*j - 102, 3*j = -6. Suppose i = 3*i - q. Does 9 divide i?
False
Let k = -72 + 102. Does 9 divide k?
False
Let f(t) = t**3 + 12*t**2 + 8*t - 12. Let l be 110/5*1/(-2). Is 21 a factor of f(l)?
True
Let l(s) be the first derivative of -15*s**2/2 - 18*s - 3. Let y(u) = u + 1. Let g(x) = l(x) + 18*y(x). Is 11 a factor of g(6)?
False
Suppose p - 55 = -4*p. Let l = 17 - 7. Let a = l + p. Does 12 divide a?
False
Suppose 10*g - 40 = 9*g. Is 17 a factor of g?
False
Let d be 1*(-3 + 2 + 2). Is 8 a factor of ((-17)/3 + d)*-6?
False
Let q = -6 - -36. Suppose -2*l + q = -0*l. Does 15 divide l?
True
Let l(b) = 48*b + 4. Let g be l(-3). Let y = -67 - g. Is y a multiple of 21?
False
Suppose 19 = -2*f + 99. Is f a multiple of 10?
True
Let z(c) be the first derivative of -c**3/3 + 7*c**2/2 - 2*c + 1. Is z(6) a multiple of 4?
True
Let m(o) = -5*o**2 - 2*o + 25. Let v(w) = -14*w**2 - 5*w + 76. Let g(j) = -11*m(j) + 4*v(j). Is g(0) a multiple of 13?
False
Let q(g) = -2*g - 2. Let z be q(-3). Let r be z*(2 + 0 + -1). Suppose -r*y = y - 55. Is y a multiple of 11?
True
Let d be (3 + -1 - 0)/1. Suppose 6*c - 228 = d*c. Is c a multiple of 19?
True
Let j = -9 - -13. Let v = 3 + -3. Suppose v = f - 16 + j. Is 5 a factor of f?
False
Let b = -10 - -14. Does 5 divide (84/(-15))/b*-5?
False
Let x(n) = -n**3 + 7. Let c = -15 + 15. Is x(c) a multiple of 4?
False
Is (15/(-6))/((-6)/12) a multiple of 2?
False
Let r be 8/16 + 3/2. Suppose 0 = -3*m - 7 - r, 4*s + 2*m = 30. Is 3 a factor of s?
True
Suppose -l = l. Suppose -332 = -l*f - 3*f - k, -2*k = -4. Suppose 2*u - f = -3*u. Is u a multiple of 13?
False
Let i = 1 - -10. Let r = i - 6. Suppose 28 = r*a - 12. Does 4 divide a?
True
Suppose -s = -3*s - 4*i + 440, -2*i + 448 = 2*s. Is 50 a factor of s?
False
Let p(s) = -s - 13. Let w be p(-9). Let l be (w/2)/2*9. Let z = l + 27. Is z a multiple of 18?
True
Let n(q) = -7*q**3 - 4*q**2 - 3*q - 1. Let z be 21/(-9) - (-3)/9. Is n(z) a multiple of 22?
False
Let x(v) = -3*v**2 - 5*v + 1. Let t(k) = -4*k**2 - 6*k. Let w(m) = -4*t(m) + 5*x(m). Is w(6) a multiple of 8?
False
Suppose 6*i - 5*p - 142 = 3*i, -4*p - 20 = 0. Does 14 divide i?
False
Let w = 0 - -1. Suppose -3*l + 8 + w = 0. Does 11 divide l/(-3)*3*-9?
False
Is 28 a factor of (14/8)/((-2)/(-64))?
True
Let k be (14/35)/((-1)/(-10)). Suppose 2*c + 0 - k = 0. Suppose c*g = 7*g - 25. Is g a multiple of 5?
True
Let k be 4/(-10)*(-10)/1. Suppose -3*a = -g + 13, -32 = 2*g - k*g + 4*a. Does 11 divide g?
True
Let p(z) = -z**3 - 3*z - 1. Let w(l) = -l**3 + 13*l**2 - 12*l - 3. Let d be w(12). Does 14 divide p(d)?
False
Suppose -2*h - w = -16 - 14, -5*h + 66 = -2*w. Suppose h + 2 = l. Suppose 0*v - 27 = -v - 5*c, -4*c - l = 0. Does 13 divide v?
False
Let m be 104/28 - (-4)/14. Let d = m + 6. Suppose -3*u + d = -u. Does 5 divide u?
True
Let t be 7 + (-1 - -1) + 1. Suppose t = 3*h - h. Does 2 divide h?
True
Let y = -20 - -34. Is (-240)/(-7) + (-4)/y a multiple of 11?
False
Is 17 a factor of 95/3 - (-56)/42?
False
Suppose -x = -3*j - 29, -2*j - 23 = j + 2*x. Let y be (0 - 5)/(2/(-132)). Is 24 a factor of (y/j)/(6/(-9))?
False
Let m be (-1 - -6)*7/5. Let o = -4 + m. Suppose 135 = o*l - r, 0*r = 5*l - r - 225. Is 15 a factor of l?
True
Suppose 4*g - 31 - 25 = 0. Is 9 a factor of g?
False
Let k be (1 - 0)*4 - 0. Suppose -w - 70 = -i, -2*w = -k*i - 5*w + 266. Is 17 a factor of i?
True
Suppose 0 = -3*k - 2*p + 130, -3*k = -5*p - 26 - 69. Suppose 2*o + 2*o = k. Does 6 divide 6/9*3 + o?
True
Suppose 3*g + 4*h - 20 = 0, -h + 25 = -g + 4*h. Suppose 5*u - 2*u - 120 = g. Is u a multiple of 13?
False
Let f(r) be the second derivative of 5*r**4/6 - r**3/6 - r**2/2 - 4*r. Suppose -5*b = -4*s - 7, 4*s - s = -4*b - 13. Is f(b) a multiple of 10?
True
Suppose i - d - 42 = 0, -2*i - 2*d + 80 = -0*i. Is 19 a factor of i?
False
Let m be 90/(-21) - (-4)/14. Let z(w) = -w**3 - 4*w**2 + 4. Is z(m) a multiple of 4?
True
Let j(h) = h - 4. Let i be j(8). Suppose 0 = 2*l + 2*l + 5*r - 20, -i*l - 2*r + 32 = 0. Is l a multiple of 4?
False
Let k(y) = 7*y**3 - 5*y**2 + 10*y + 6. Let t(s) = s**3 + s + 1. Let m(r) = k(r) - 6*t(r). Let h be
|
{
"pile_set_name": "DM Mathematics"
}
|
+ v. Suppose 0 = -h - 1, -j*h + 0 = s - 2. Solve -s = -o, -3*i + 4*o = 3*o + 2 for i.
1
Suppose -64 - 23 = -29*x. Solve 0 = -2*z + 3*d - 10, x*z + 4*d + 10 + 5 = 0 for z.
-5
Let c be ((-3 - -6) + (-4 - -2))*3. Suppose -4*w = -3*r + 49, -c*r + 11*w + 59 = 12*w. Solve -3*q + 4*q - 2 = -v, -5*v - 2*q + r = 0 for v.
5
Let r = -4 - 8. Let c = 16 + r. Suppose -7*b - 3*b + 40 = 0. Solve 0 = b*l + 3*m + 11, -7 = -l - 0*l - c*m for l.
-5
Let l = -941 - -946. Suppose -l*w + 248 = 43. Let o = 12 + -8. Solve -5*d = q + 2*q - 35, 0 = 5*q + o*d - w for q.
5
Let k = -3062 - -3092. Solve 4*h + k = 5*i - 6, 5*h = i - 24 for h.
-4
Let j = -80 + 198. Let s be 3/(j/136 + (-4)/34). Solve 4*z - 16 = -4*n, -3*z - 8 = z - s*n for z.
1
Let z = -1529 + 1537. Solve -2*l + 5*p = 10 + z, -2*l = p + 6 for l.
-4
Suppose -2*v + 3*u + 2 = -10, 5*v - 5*u - 30 = 0. Let q be (-2)/6 - (-5 + (-8)/v). Let w be -8*(-1*2 + q/4). Solve -4*a + 2*d = -10, -w*a + 7 - 18 = 5*d for a.
1
Let j(o) = -3222*o + 10 + 3250*o + 7 + 14. Let i be j(-1). Solve 0 = 5*v - 4*b - b + 40, -3*v = i*b - 6 for v.
-3
Suppose 0 = g + 5*u + 22, 92*g - 96*g + 4*u = -56. Solve 0 = -2*m - 0*m - q - g, m - 2 = q for m.
-2
Suppose -2*y = -3*u - 10, -7*y - 12 = -10*y + 3*u. Suppose -2*s = -4*t + 16, -2*t - 2*s = t + y. Solve 5*o + 0*j - 22 = -j, -2*o + 3*j = -t for o.
4
Let s(f) = 4*f - 25. Let h be s(7). Suppose -2 = -h*j - 2*p, 4*j + 3*p = 2*j - 7. Suppose j = 79*x - 75*x. Solve 2*l = -3*c + x, 3*c + 27 = 3*l - c for l.
5
Suppose -w + 27 = 23. Let y(x) = x**3 - 5*x**2 + 5*x + 7. Let b be y(3). Solve -2*v - 4 = -3*h + 3, 4 = -w*v + b*h for v.
4
Let h = -289 + 527. Suppose -46*f = -29*f - h. Solve 3*o + f = -q, -5*q = -2 + 27 for o.
-3
Let a be 15/60 - (-111)/4. Let u be -2 + (5 - 2 - -79). Let c = u - 77. Solve -a = -c*m + 4*w - 4, -4*w = 12 for m.
4
Let i = -94 - 396. Let k be -21*42/i + (-1)/(-5). Solve -k*o = 3*p - 16, -4 = 5*p - 4*o + 6 for p.
2
Suppose -52 = -21*a - 10. Let q be ((-26)/(-65))/(a/20). Solve 9 = 3*y - 3*r, -q*y - r + 12 = 4*r for y.
3
Let t be -4 + (-3 - (5 + (-96)/4)). Let j be ((-9)/6)/3*2*-2. Solve -2*n - 8 = 0, j*i + n + n + t = 0 for i.
-2
Let z(v) = 9*v + 247. Let i be z(-27). Solve 2*j + 6 = -k, 53*k + 24 = -i*j + 54*k for j.
-5
Let y be (-6 - (0 + -1))*6/(-10). Suppose -y*n + 87 = 90. Let u be n/(-6) - (-55)/30 - 0. Solve -h = u*k + 13, -h = -4*h + 5*k + 16 for h.
-3
Let v(w) = -w - 10. Let c = -191 + 99. Let s = c - -78. Let n be v(s). Solve -2*o + y - n = -3*o, -3*y = 5*o - 12 for o.
0
Let j = 1190 + -1188. Solve 4*i = -j*x - 12, -5*i = -24*x + 19*x for i.
-2
Suppose -18322 = -31*r + 3502. Let a = -698 + r. Solve 2*n = 2*d, 5*d = -n - 0*n - a for d.
-1
Suppose k = 10 + 5. Let x be (30/9)/((-8)/6 - (-50 + 48)). Suppose 3*z = 5*w + 55, -3*z - 5*w = -3 - 2. Solve -4*h + 2*h - 3*s = -z, -3*h - x*s = -k for h.
5
Let d(n) = n**3 - 24*n**2 - 22*n - 29. Let r be d(25). Let p = r - 26. Suppose 2*t = -10, -3*h + 17 + p = -5*t. Solve 3*l = -k - l - 19, -h*l = 2*k + 22 for k.
-3
Suppose 3*m - 24 = 3*d, 2*m - d = -0*d + 11. Suppose 4*g - 3*g + 1 = -2*w, -m*w - 9 = 3*g. Solve 5*p - 20 = -2*c, w*p + 2 = 6 for c.
5
Let j be -4*(-6)/18*3. Suppose 0*f + 12 = -2*u + j*f, -30 = -5*u - 5*f. Solve 0 = -4*c + 5*r - 18, -10 = u*c - 4*r + r for c.
-2
Let d be ((-2)/((-4)/43))/(141/282). Suppose d*u - 105 = 22*u. Solve 4*n + 4 = 2*n - 3*a, 6 = -4*n - u*a for n.
1
Let l(x) = x - 5. Let r be l(2). Let w = -1 - r. Let c(o) = o**3 + 3*o**2 - 6*o - 7. Let m be c(-3). Solve 0 = -a + 4*s - 21, a - w*s + m = -0*s for a.
-1
Let b be 244/(-183)*(-3)/(-2). Let c(m) = 18*m + 46. Let j be c(b). Solve v + 2*v = -a + j, -3*v + 5*a - 14 = 0 for v.
2
Let s(c) = -2*c**3 + 29*c**2 - 9*c - 33. Let o = -834 - -848. Let j be s(o). Solve -3*m = -6*m + 5*n, -4*n = 5*m - j for m.
5
Let h = 2131 - 2112. Solve 0 = -t + 4*c - 6, 0 = 23*t - h*t + 4*c - 16 for t.
2
Let b be (-4)/(-38) + (-1872)/(-988). Suppose -102 = 8*n - 6. Let x be (8 + b)*(-1 + n/(-8)). Solve 4 = -3*t + x*o, 4*o - 2*o = 4 for t.
2
Let k(y) = -y**3 + 37*y**2 - 327*y - 45. Let b be k(15). Solve 0 = 5*h - 5*t + 20, 7*h - 10*h - t - 16 = b for h.
-5
Suppose -33*p - 59 = -59. Solve 32 = -4*d + 3*q - 0*q, 4*d - 2*q + 28 = p for d.
-5
Let r(k) = -44*k + 276. Let d be r(6). Suppose -21*p - d = -75. Solve -p*v = -0*v + 3*a - 12, -5*v - 7 = -4*a for v.
1
Let r(j) = j**3 - 9*j**2 - j + 15. Let t be (-833)/(-85) - (-12)/(-15). Let d be r(t). Solve -d*s + s - 14 = -2*p, 4*p + 8 = s for s.
-4
Let r = -10887 - -10889. Solve r*p - 15 = 5*y - 1, -12 = -3*p + 3*y for p.
2
Let t(x) = -x**3 + 2*x**2 + 5. Let b be t(0). Suppose -a = 3*a + 3*m - 29, -b*a - 5*m + 40 = 0. Solve -a*n - 2*k = 20, -k + 2 - 3 = -2*n for n.
-2
Suppose -7*w = 5*j - 3*w - 108, -3*j + 4*w = -116. Solve a = 18*l - 19*l, 3*l - 4*a = -j for l.
-4
Let j(f) = 92*f - 2112. Let l be j(23). Solve 2*k - l*t = -4, 5*k = -6*t + t - 40 for k.
-6
Suppose -37*z + 158 = -249. Solve -q + x = 2, 0 = 5*q - z*x + 9*x + 16 for q.
-4
Let p be (-6)/(144/120) - 3*-3. Solve -b + 5*b - 16 = p*g, -b - 5 = 2*g for b.
1
Let d be (-1156)/18 + (-12)/(-54) - 6. Let p be (d/(-315))/(2/18). Solve -5*q + 4*l = -p*q + 15, 5*q + 5*l - 10 = 0 for q.
-1
Let f be (868/8)/7 + -12 - (-3)/(-2). Solve -4*p + 8*x + 17 = 9*x, 0 = f*p + 3*x - 1 for p.
5
Let f be 4 + (-875)/70 + ((-30)/(-4))/(-3). Let z = 1 + -8. Let p = z - f. Solve -t + 1 = -2*a + 6, a + t = p for a.
3
Let t be (-4 - (-5 + -1)) + 8. Suppose -39 = 17*d - 30*d. Solve 21 - 7 = h - 4*p, h = d*p + t for h.
-2
Let w be 7/168*(-14736)/(-307). Suppose 10 = 3*n - 2*c, 5 = 3*n - 4*c + 3*c. Solve n = l - 4*g - 21, -3*g + 0*g - 17 = -w*l for l.
1
Let a(m) = m + 18. Let f be a(-7). Suppose f*r = 53 - 9. Solve 4*s + 16 = 0, 0*s = r*v - s - 12 for v.
2
Let q be (-54)/243 - 52/9. Let z be 1596/308 - q/(-33). Solve 2*m + 2 = 2*r, 2*r + 2*m = 9 + z for r.
4
Suppose -87*i + 71*i = -96. Solve -i*x - 3*o - 1 = -5*x, 2*x + 4*o = 0 for x.
2
Let i(l) = 5*l + 30. Let c(x) = x**3 + 8*x**2 + 10*x + 16. Let j be c(-7). Let k be i(j). Solve k*u - 19 = 6, 0 = 4*w - 4*u for w.
5
Let b be (-2 + 51)/(4/(-4)). Let f = 58 + b. Solve 3*x = f, 2*a - 5*x + 10 = -11 for a.
-3
Let a = 627 + -307. Let c = -317 + a. Solve c*o = -3*n - 2 + 8, -4*n = 5*o - 7 for o.
-1
Suppose 3*p + 131 - 107 = 0, 3*s = 3*p + 48. Let u(o) = -4*o**3 + 2*o**2 + o. Let z be u(-1). Solve -d = -3*w + s, -d + z*d - 7 = -w for w.
3
Let m be -7*((-244)/7 + 6). Suppose n = m - 199. Solve 0 = -n*u - 2*j + 8, 2*u + 4*j - 4 = -u for u.
4
Suppose 2*h - l = 3, 9*l - 14*l + 5 = -5*h. Solve 0 = h*k - 2*o - 10, 5*k - 30 = -0*k - o for k.
5
Let k = -1093 + 1101. Solve -t + 5*m = k + 11, -t = 4*m - 26 for t.
6
Let b = -10630 + 10632. Solve -22*r + 27*r - 5*x = 30, 0 = -5*r + b*x + 18 for r.
2
Let w be (105/245 + 76/(-14))/(-1). Solve -w*k = 5*u + 10, 3*u = -u - 5*k - 9 for u.
-1
Let j = 8373 + -8358. Solve -5*u - 3*k + j = 0, 0 = -4*u - 3*k + 10 + 2 for u.
3
Let u = 1440 - 1438. Solve 5*h - 30*d + 4 = -34*d, 0 = -2*h - 2*d - u for h.
0
Let a = 878 + -873. Solve -2*x + 2*c + 2 = -c, -a*x - 2*c = 14 for x.
-2
Let v be -4*-1*2*((-15)/10 + 2). Solve v*m = -i - 10, -45*i + 5*m = -47*i - 11 for i.
2
Let m(y) = -10*y + 232. Let q be m(-6). Let o be (q/(-1095))/(4/(-30)). Let c be 1*-6*(-2)/4. Solve -2*s = -o*f - 12, c*f + 3*s = -2*s + 22 for f.
-1
Let n = 63 + -149. Let y = -68 - n. Solve 3*i = -2*q + y, -6*q + 13 = i - 3*q for i.
4
Let l = 41568 + -41565. Solve s = i, 17*s = 20*s + l*i - 30 for s.
5
Suppose 4*m + 3*y + 2*y - 212 = 0, -m - y = -53. Let c = m + -52. Solve -5*i = 4*w - 12 + 31, -i + 2*w = c for i.
-3
Let o = 82 + -47. Suppose -3*l + 12 = s, 0 = 3*l - o*s + 33*s - 12. Solve f - 14 = 3*p, -f - l*p - 10 = 11 for f.
-1
Suppose -148*l + 948 + 1 + 827 = 0. Solve t + 5 = -3*o, 9*o = l*o - 3*t - 15 for o.
0
Let n(u) = -2*u**3 - 132*u**2 - 6*u - 393. Let y be n(-66). Solve 0 = 3*f + 2*t + 2, 5*t + 15 = -y*f + 10 for f.
0
Suppose k - 3*q = -259, 5*q - 443 - 572 = 4*k. Let l = k - -250. Solve v - 4 = 2*h, -12 = 3*h - l*v - 3*v for h.
0
Let n be 4*2/4*1. Suppose 91 = 6*s - 5. Suppose -5*x = 5*k - 7*x - s, 2*x = -4*k + 2. Solve -4*r - 20 = -r - k*t, -5*r - n*t - 12 = 0 for r.
-4
Let n be (-15)/(-5)*-6*(-2)/36*8. Solve -2*x + 135*s + 8 = 132*s, 2*x + s = n for x.
4
Let h = -
|
{
"pile_set_name": "DM Mathematics"
}
|
e 3648/7*t + 0 + 2/7*t**2 = 0 for t.
-1824, 0
Let j(u) be the first derivative of -21*u**4/4 - 334*u**3/3 - 656*u**2 + 128*u - 159. Find w, given that j(w) = 0.
-8, 2/21
Let u = 1061/206 + 242/103. Let x(d) be the second derivative of 2*d**5 + 0 + u*d**4 + 27*d + 40/3*d**3 + 1/6*d**6 + 25/2*d**2. Factor x(p).
5*(p + 1)**3*(p + 5)
Factor -767*g**2 + 2401285/7*g + 3/7*g**3 + 801025/7.
(g - 895)**2*(3*g + 1)/7
Find x, given that -1/8*x**4 + 3 - 9/4*x**2 + 9/8*x**3 - 1/2*x = 0.
-1, 2, 6
Let h(y) = y**3 - y**2 + 2*y + 2. Let z(m) = 4*m**3 + 72*m**2 + 80*m - 60. Let n(x) = -6*h(x) - z(x). Determine b, given that n(b) = 0.
-4, -3, 2/5
Let l(d) be the first derivative of -d**5/5 + 3*d**4/4 + 35*d**3/3 - 75*d**2/2 - 250*d - 594. Solve l(x) = 0.
-5, -2, 5
Let r(f) be the first derivative of -7688/3*f + 124/3*f**2 - 2/9*f**3 - 78. Factor r(s).
-2*(s - 62)**2/3
Solve -160/3*b**2 + 56/9*b**3 + 1664/9*b - 2/9*b**4 - 2048/9 = 0.
4, 16
Let y(t) = -t**3 + 12*t**2 + 3*t - 32. Let r be y(12). What is j in -33*j**2 + 31*j**2 - 5*j**3 - 6*j**2 - 4*j**4 + 3*j**r - 4*j = 0?
-2, -1, 0
Let r(q) be the third derivative of 5*q**8/336 + q**7/14 - 5*q**6/4 - 17*q**5/6 + 475*q**4/8 - 375*q**3/2 + 911*q**2. Suppose r(g) = 0. What is g?
-5, 1, 3
Suppose -3*o = -k - 128 + 129, -k = 5*o - 17. Let j(g) be the second derivative of -1/3*g**4 - 2/3*g**3 + 0 - 2*g + 12*g**o. Let j(v) = 0. What is v?
-3, 2
Let q(z) be the third derivative of 0*z + 3/56*z**4 - 1/168*z**6 + 1/1470*z**7 + 0 + 5*z**2 + 0*z**3 + 1/140*z**5. Let q(x) = 0. What is x?
-1, 0, 3
Let d(t) = -4*t**2 + 8*t - 6. Let q(n) = 13 - 10 - 2 - 4*n + n**2 + 3*n. Let a(c) = d(c) + 6*q(c). Factor a(b).
2*b*(b + 1)
Let n(c) be the second derivative of -c**7/105 - 8*c**6/75 + 3*c**5/50 + 13*c**4/15 + 16*c**3/15 + c - 130. What is w in n(w) = 0?
-8, -1, 0, 2
Suppose 157*u - 75*u - 32 = 74*u. Let n(q) be the second derivative of -8/9*q**2 - 26/27*q**3 - 7/45*q**5 + 0 - 5/9*q**u - 2/135*q**6 + 16*q. Factor n(k).
-4*(k + 1)**3*(k + 4)/9
Let j(z) be the second derivative of -z**4/16 - 6*z**3 + 1947*z**2/8 - 69*z - 4. Let j(y) = 0. What is y?
-59, 11
Let a = 2 + 4. Let s be (0 - 3)*(-4)/a. Find x, given that 22 - 6 + 3*x**2 + x**s - 20*x = 0.
1, 4
Let u = 103921/18 - 34583/6. Factor 2/3*j**3 + 58/9*j**2 + 22/9 - u*j.
2*(j - 1)*(j + 11)*(3*j - 1)/9
Suppose 102*f + 19560 = 117*f. Let b = -1304 + f. Determine g, given that 0*g + 0*g**2 + b - 25/2*g**3 - 5/2*g**4 = 0.
-5, 0
Let i = -9 - -6. Let w be 5/(-15) - 7/i. Determine b so that -6*b**3 - 18*b**w + 2*b**5 + 6 + 6*b**4 + 3*b**5 - 2*b**5 + 3*b + 6*b**2 = 0.
-2, -1, 1
Determine k so that 16*k + 3852*k**3 - 2 + 632*k**2 - 2064*k**3 + 2 + 1314*k**4 = 0.
-2/3, -2/73, 0
Factor -36 + 8*s + 4/3*s**2.
4*(s - 3)*(s + 9)/3
Let w be (28/(-6))/(((-1617)/126)/11). Let h(l) be the first derivative of -l - 9/2*l**2 - 5*l**3 - 27 + 25/4*l**w. Solve h(j) = 0 for j.
-1/5, 1
Let c = 1158 + -1162. Let q be -12*((-66)/(-252)*15 + c). What is s in 24/7 + 3/7*s**3 + q*s - 15/7*s**2 = 0?
-1, 2, 4
Let m(o) = o**2 + 13*o + 30. Let p(q) = -1. Let r(f) = -m(f) + 5*p(f). Let j be r(-8). Suppose -40*k - j*k**2 + 5 - 20*k - 70 - 115 = 0. Calculate k.
-6
Suppose -6*x = -2*x - 20. Let n(k) = k - 5. Let o be n(5). Factor 15*b**2 + x*b + 5*b**4 + o*b**4 - 253*b**3 + 268*b**3.
5*b*(b + 1)**3
Determine u so that 0 + 34/11*u**3 + 2/11*u**4 - 2016/11*u - 48/11*u**2 = 0.
-12, 0, 7
Factor -24234722/7 + 1643032/7*m + 472/7*m**3 - 2/7*m**4 - 41772/7*m**2.
-2*(m - 59)**4/7
Find r such that 12*r**2 - 256*r**3 + 127*r**3 + 132*r**3 - 288*r = 0.
-12, 0, 8
Suppose k + 1 = 0, -6*g - 5*k = -3*g - 22. Factor 85 - 4*i**2 - 65*i + g*i**2 - 155.
5*(i - 14)*(i + 1)
Let u = -187612 + 187614. Factor 8/3 - 2/3*o - 1/3*o**u.
-(o - 2)*(o + 4)/3
Let -4978 + 1516*u**2 + 4978 + 1515*u - 47*u**3 + 48*u**3 = 0. What is u?
-1515, -1, 0
Let x = -15004/5 + 45032/15. Let y(j) be the third derivative of x*j**5 + 5/6*j**4 + 17/24*j**6 + 0 - 21*j**2 + 0*j**3 + 0*j + 5/42*j**7. Solve y(s) = 0.
-2, -1, -2/5, 0
Let n(g) be the first derivative of 2*g**5/5 + 35*g**4 + 2450*g**3/3 + 264. Suppose n(q) = 0. Calculate q.
-35, 0
Let t = 119/773 + 30087/5411. Factor 4/7*y**2 + t - 44/7*y.
4*(y - 10)*(y - 1)/7
Let v(m) be the second derivative of -m**4/4 + 16*m**3 - 93*m**2/2 - m - 360. Factor v(s).
-3*(s - 31)*(s - 1)
Let u(v) be the third derivative of 1/210*v**5 - 1/840*v**6 - 1/21*v**3 + 0 + 1/168*v**4 + 0*v - 87*v**2. Determine y, given that u(y) = 0.
-1, 1, 2
Let q be 2 + 12/1 - 1. Suppose q*f - 9*f = 48. Let f*o**2 + 14*o**3 - 14*o**3 - 8*o - 15*o**4 + 11*o**4 = 0. What is o?
-2, 0, 1
Let m(v) = 3*v**4 + 82*v**3 - 84*v**2 - 78*v + 73. Let x(j) = -4*j**4 - 82*j**3 + 85*j**2 + 77*j - 71. Let n(g) = -5*m(g) - 4*x(g). Factor n(o).
(o - 81)*(o - 1)**2*(o + 1)
Find m such that -124 - 2181*m - 832*m + 785*m - 9972*m**2 + 324*m**3 = 0.
-1/9, 31
Suppose -331 = -11*s + 1209. Suppose -12*b**3 - 180*b**2 - 180 + 2*b**3 - 440*b - s + 5*b**4 = 0. What is b?
-2, 8
Let l be (-130480)/(-3495) - (34 + 2). Factor 4/3 + 4/3*b**3 - 1/3*b**4 - l*b - b**2.
-(b - 2)**2*(b - 1)*(b + 1)/3
Let 23*s**3 + 8*s**2 + 6*s**4 - 12*s**3 + 104*s**2 + 11*s**3 - 5*s**4 = 0. Calculate s.
-14, -8, 0
Suppose 22*v + 17574 + 17635 = 35253. Let 17/3*w**3 + 4 + 4*w**4 - 32/3*w - 23*w**v = 0. Calculate w.
-3, -2/3, 1/4, 2
Let k be -16 + (8 - 330/(-40)). Let w(l) be the first derivative of 1/5*l**5 + 0*l**2 - 2/3*l**3 + k*l**4 - 1 + 0*l. Factor w(h).
h**2*(h - 1)*(h + 2)
Let s(h) be the third derivative of -h**5/90 + 29*h**4/48 - 455*h**3/36 - 7868*h**2. Find z, given that s(z) = 0.
35/4, 13
Let u(v) = -6 + 2*v**4 + 20*v - 40*v + 2*v**4 - 12*v**2. Let r(f) = -4*f**4 + 2*f**3 + 12*f**2 + 20*f + 5. Let q(x) = -2*r(x) - 3*u(x). Factor q(k).
-4*(k - 2)*(k + 1)**3
Let r(j) be the first derivative of -j**4/48 + 7*j**3/24 - 6*j + 42. Let u(w) be the first derivative of r(w). Factor u(g).
-g*(g - 7)/4
Let i(p) = p**3 - p + 1. Let b(x) = 6*x**3 - 9*x**2 - 3*x + 3. Suppose 0 = 8*j - 13*j - 80. Let z = j + 19. Let d(s) = z*i(s) - b(s). Factor d(n).
-3*n**2*(n - 3)
Let l(g) be the first derivative of 2*g**3/3 + 19*g**2/2 + 12*g - 16. Let y be l(-9). Solve 2 - y*c**2 + 7*c**2 + 4 - 7*c**2 + 3*c = 0.
-1, 2
Let l = 12572 + -528023/42. Let w(i) be the second derivative of l*i**3 + 10*i + 1/7*i**2 - 1/42*i**4 + 0 - 1/140*i**5. Factor w(y).
-(y - 1)*(y + 1)*(y + 2)/7
Let j(m) be the second derivative of m**6/48 - 5*m**5/16 + 5*m**4/16 + 35*m**3/24 + 63*m**2/2 - 8*m + 1. Let w(d) be the first derivative of j(d). Factor w(i).
5*(i - 7)*(i - 1)*(2*i + 1)/4
Let y(o) be the first derivative of -7*o**3/6 - 61*o**2/4 - 20*o - 3230. Factor y(z).
-(z + 8)*(7*z + 5)/2
Let u(j) be the second derivative of 0*j**2 + 1/110*j**5 - 6*j - 3 - 8/33*j**4 + 64/33*j**3. Determine m, given that u(m) = 0.
0, 8
Let n(v) be the second derivative of v**5/10 - 31*v**4/6 + 90*v**3 - 648*v**2 + 13275*v. Factor n(t).
2*(t - 18)*(t - 9)*(t - 4)
Let w = -5746/23 + 18020/69. Suppose 21*b + w*b**2 - 62/3*b**3 - 49/3 - 1/3*b**5 + 5*b**4 = 0. What is b?
-1, 1, 7
Suppose -2*x = 3*x - 2*n + 10, x - 3*n = -15. Suppose -2*o + 0*o + k + 101 = x, o - k = 50. Factor -o*s + 21*s**2 + 18 - 24*s + 6*s.
3*(s - 3)*(7*s - 2)
Let p = -392 + 382. Let f be 2 + (-14)/p + 20/(-50). Solve -4/3*u**f + 2/3*u**5 + 2/3*u**4 + 0*u + 0 + 0*u**2 = 0 for u.
-2, 0, 1
Let w be 5*4/(0 - -4). Suppose -4*y - 4 = -w*m, -y = 5*m - 17 - 7. Factor 12*o**2 + 0*o**3 + m*o**3 - 54 + 58 + 12*o.
4*(o + 1)**3
Let n be (-6)/210*-5*(-126)/(-90). Let x(y) be the first derivative of -14 + n*y**3 + 6/5*y + 9/10*y**2. Factor x(o).
3*(o + 1)*(o + 2)/5
Let l be (-252)/24*(897/(-18) + 2). Let n = 503 - l. Let n*f**2 + 3/2*f - 3/2*f**3 - 9/8 + 3/8*f**4 = 0. Calculate f.
-1, 1, 3
Let n(o) = 8*o**2 + o - 2. Let s be n(-2). Suppose -u + 4*u = 9. Factor 10*l - s*l**u - 27*l**3 + 5*l**2 - 5*l**4 + 45*l**3.
-5*l*(l - 1)*(l + 1)*(l + 2)
Let u be 18*(-4)/(-5)*40/32. Let p(a) be the second derivative of 1/7*a**3 - 1/28*a**4 + 9/14*a**2 - u*a + 0. Solve p(c) = 0.
-1, 3
Let b = 130 - 122. Factor -16*m**2 - b*m**2 - 16*m**2 + 3*m**3 - 78 + 15*m + 16*m**2 + 228.
3*(m - 5)**2*(m + 2)
Let l(d) be the first derivative of -d**5/10 - d**4/2 + 19*d**3/6 - 7*d**2/2 - 2430. Factor l(h).
-h*(h - 2)*(h - 1)*(h + 7)/2
Find s
|
{
"pile_set_name": "DM Mathematics"
}
|
6, what is -555 + -35?
-1034
In base 7, what is -511 - 302?
-1113
In base 7, what is -4 + -554222?
-554226
In base 15, what is -30 - 8?
-38
In base 5, what is -13 - -120334?
120321
In base 8, what is 7564 + 3?
7567
In base 12, what is -9a590 + 2?
-9a58a
In base 14, what is 4c47 + 1?
4c48
In base 2, what is 1000010001101111 + -1110?
1000010001100001
In base 8, what is -51 - -477526?
477455
In base 14, what is 40 - a50?
-a10
In base 13, what is 1726b + 3?
17271
In base 2, what is -10100 + -1011?
-11111
In base 3, what is -102211111210202 + -1?
-102211111210210
In base 6, what is 1 + -10414443?
-10414442
In base 10, what is 24 + -7557?
-7533
In base 12, what is -1a + -573?
-591
In base 6, what is -5 - -11001011?
11001002
In base 10, what is -91 + 639?
548
In base 9, what is -102 - 14280?
-14382
In base 7, what is -341 - -601?
230
In base 16, what is 3dbd + 5?
3dc2
In base 13, what is -1 + -1094?
-1095
In base 8, what is 227 + -630?
-401
In base 7, what is -3 - 1444515?
-1444521
In base 7, what is 21554353 - -3?
21554356
In base 6, what is -23034 + 432?
-22202
In base 5, what is 113022022 - 0?
113022022
In base 6, what is 51425 - -2?
51431
In base 4, what is -102 - 12133123?
-12133231
In base 9, what is 6 - -840?
846
In base 6, what is 0 - 22210253?
-22210253
In base 15, what is -5265b + -2?
-5265d
In base 4, what is -2010321011 + 10?
-2010321001
In base 15, what is -316d + 8d?
-30d0
In base 2, what is 100010100111101111 - -11011?
100010101000001010
In base 6, what is -3 + 303451?
303444
In base 13, what is -1c + -30a?
-329
In base 5, what is 10302 - 320?
4432
In base 5, what is 124 + -114244?
-114120
In base 16, what is 84d4 + 2a?
84fe
In base 6, what is -22251110 + 2?
-22251104
In base 13, what is -862 - -a?
-855
In base 12, what is 3 + -2717?
-2714
In base 10, what is -25 + 523?
498
In base 11, what is -3 + 417398?
417395
In base 6, what is 1221320 + -14?
1221302
In base 6, what is -222204 + 34?
-222130
In base 6, what is 34322515 - -1?
34322520
In base 6, what is 115134 + 2224?
121402
In base 2, what is 1110100 - 11011011010100?
-11011001100000
In base 5, what is 341 - 11023?
-10132
In base 4, what is -3 + -1100300?
-1100303
In base 8, what is 2742 - 3553?
-611
In base 12, what is 62 - 68b?
-629
In base 8, what is -12362132 + 5?
-12362125
In base 14, what is 1 - 19d778?
-19d777
In base 3, what is 100 + -10200200022?
-10200122222
In base 6, what is -52 + -50301?
-50353
In base 7, what is 1653 + 10144?
12130
In base 4, what is 12132032 - 1?
12132031
In base 5, what is -113 + 33301?
33133
In base 7, what is -66 + 105201?
105102
In base 13, what is 2a72 + 1a?
2a8c
In base 15, what is -1dd57 - 5?
-1dd5c
In base 15, what is -2 - -9dab?
9da9
In base 10, what is 72327 + 46?
72373
In base 11, what is 0 - -2555?
2555
In base 6, what is 142031 - 5?
142022
In base 11, what is 158a2 + -1a0?
15702
In base 4, what is -230 - 11213?
-12103
In base 13, what is -4a34 - 23?
-4a57
In base 11, what is 156a32 + 3?
156a35
In base 5, what is 133 - 1330?
-1142
In base 6, what is 11 + 1120523?
1120534
In base 16, what is 441 - -2e?
46f
In base 11, what is 40305 + -3a?
40276
In base 5, what is -232131 + 11?
-232120
In base 3, what is -2200112 + 11122?
-2111220
In base 6, what is 3 - 14010?
-14003
In base 6, what is 4 - 1153?
-1145
In base 6, what is 3215 - 12214?
-4555
In base 9, what is 3 + 2710632?
2710635
In base 2, what is 111 + 1010010000111?
1010010001110
In base 14, what is -51 + -96b?
-9bc
In base 5, what is 1134323 - 4?
1134314
In base 9, what is -2 - 101583?
-101585
In base 8, what is 13 + 311765?
312000
In base 2, what is 1011001000111101 - -11000?
1011001001010101
In base 16, what is -4d + -147?
-194
In base 3, what is 1012 - 10200?
-2111
In base 5, what is 10 - -231222?
231232
In base 13, what is -172c5 - 8?
-17300
In base 9, what is 1501 - -74?
1575
In base 4, what is -2 - -1010323?
1010321
In base 7, what is 44344 - 101?
44243
In base 8, what is 13 + -22?
-7
In base 12, what is 232 - 1a?
214
In base 5, what is 1041433 - -3?
1041441
In base 7, what is 102 + -30411?
-30306
In base 4, what is 11 + -12000010?
-11333333
In base 4, what is -200012033 + 11?
-200012022
In base 13, what is 10 + 2933?
2943
In base 4, what is -102 + 302100?
301332
In base 5, what is 400331 - 21?
400310
In base 4, what is 31223 + -1232?
23331
In base 6, what is 4511 + 11?
4522
In base 9, what is -532 + -14?
-546
In base 9, what is -128 - 431?
-560
In base 14, what is 0 + 464c9?
464c9
In base 16, what is -5d71 + 1e?
-5d53
In base 6, what is 2 + -4343452?
-4343450
In base 6, what is 2053454 + 4?
2053502
In base 16, what is 3032 + -a8?
2f8a
In base 16, what is 3 + dc6e9?
dc6ec
In base 2, what is 1001011001110010100 + -101?
1001011001110001111
In base 15, what is -3 - 868?
-86b
In base 14, what is 2d6d - 164?
2c09
In base 7, what is -2330 - -141?
-2156
In base 2, what is 100 - -1100001101000001?
1100001101000101
In base 4, what is -232312 - 3011?
-301323
In base 16, what is 88 - -5?
8d
In base 8, what is -7772 - 72?
-10064
In base 8, what is 20262102 - 3?
20262077
In base 11, what is 31530 - 2?
31529
In base 11, what is 10475 - -141?
10606
In base 11, what is -92 - 234?
-316
In base 9, what is 6168 - 58?
6110
In base 11, what is 59 - -10443?
104a1
In base 14, what is 4 + -1b224?
-1b220
In base 2, what is -10 + -10111101111001011?
-10111101111001101
In base 11, what is 2 + 1544a?
15451
In base 6, what is -353010 - -21?
-352545
In base 11, what is 38 + -1044?
-1007
In base 3, what is 1002221 + -1110200?
-100202
In base 9, what is -3856 + 6?
-3850
In base 8, what is 5 - 1465?
-1460
In base 13, what is 6208 - -3?
620b
In base 6, what is -111 + -20104?
-20215
In base 2, what is 101 - 10100000110001111110?
-10100000110001111001
In base 14, what is -2 - -3009?
3007
In base 6, what is 203245 + 20?
203305
In base 16, what is -186621 - 4?
-186625
In base 2, what is 11110001110001000 + 1011?
11110001110010011
In base 15, what is -1d7 - 8e0?
-ac7
In base 15, what is 3b + 55d?
599
In base 13, what is -354a - -1?
-3549
In base 6, what is 4 + -40534?
-40530
In base 10, what is 911 + -1480?
-569
In base 4, what is 20 - -1033001?
1033021
In base 4, what is -12 - 231103?
-231121
In base 5, what is -34 - -11220?
11131
In base 4, what is 10 + 1021031?
1021101
In base 11, what is 1277 - 9?
1269
In base 12, what is 779 - 14?
765
In base 10, what is -2090 + 199?
-1891
In base 16, what is 9 + 8d7?
8e0
In base 13, what is -103b + 17a?
-b91
In base 4, what is -101101 + -22102?
-123203
In base 5, what is -41210122 - 2?
-41210124
In base 15, what is -6c27 - -2?
-6c25
In base 9, what is -253627 + -2?
-253630
In base 4, what is -2331103122 - -11?
-2331103111
In base 11, what is 472 - 1aa?
273
In base 12, what is 10 + -b4b20?
-b4b10
In base 3, what is 1111211 - -1221?
1120202
In base 12, what is -11a75 - 2?
-11a77
In base 14, what is -38d3 - -6?
-38cb
In base 10, what is -2681 + 13?
-2668
In base 9, what is -28240 - 0?
-28240
In base 6, what is 22 + -2400352?
-2400330
In base 7, what is 4 - 112501?
-112464
In base 2, what is -11101001111111000000 + -11?
-11101001111111000011
In base 13, what is 66 - -1aa?
243
In base 13, what is -1257 - 8?
-1262
In base 15, what is 1dc - -b?
1e8
In base 9, what is -2145 + 62?
-2073
In base 14, what is -c - 161c?
-162a
In base 2, what is -101001011100 - 11110?
-101001111010
In base 14, what is -2a26 - 2?
-2a28
In base 13, what is -26 - 1744?
-176a
In base 7, what is -3 + -46155?
-46161
In base 2, what is -110 + -100001111000011?
-100001111001001
In base 15, what is -1ba6 - 9?
-1bb0
In base 14, what is 2 + -1d623?
-1d621
In base 16, what is -1a - -ba?
a0
In base 9, what is -38335 + 0?
-38335
In base 9, what is -47 + -708?
-756
In base 11, what is 0 + 5655a?
5655a
In base 6, what is -4 + 13114401?
13114353
In base 16, what is 10 + -3aab?
-3a9b
In base 4, what is -1330202 - 110?
-1330312
In base 2, what is -1011100 - -10101?
-1000111
In base 2, what is 101100 + -1100010110?
-1011101010
In base 5, what is 220 - 2142132?
-2141412
In base 13, what is 1b08 - 9?
1acc
In base 12, what is 18041 - 52?
17bab
In base 2, what is 11101101001011101 + 110?
11101101001100011
In base 11, what is -116675 - 4?
-116679
In base 15, what is -1 - 1b40?
-1b41
In base 8, what is -25 + 264176?
264151
In base
|
{
"pile_set_name": "DM Mathematics"
}
|
6, 4211, 4218, 4227, 4238, 4251, 4266?
4283
What comes next: 240, 527, 862, 1245, 1676, 2155?
2682
What is the next term in -1446, -1466, -1500, -1548, -1610?
-1686
What comes next: 7365, 7363, 7359, 7353, 7345, 7335?
7323
What is the next term in 1511496, 1511495, 1511494, 1511493, 1511492?
1511491
What is next in 3820, 3825, 3832, 3841, 3852, 3865, 3880?
3897
What comes next: -29, -39, -53, -71, -93, -119?
-149
What is the next term in -27, -11, 1, 9, 13, 13?
9
What is the next term in -1106, -2150, -3196, -4244, -5294?
-6346
What comes next: -2496, -5050, -7678, -10416, -13300, -16366, -19650, -23188?
-27016
What is next in -710, -2886, -6514, -11594, -18126, -26110?
-35546
What comes next: -213, -237, -261, -285, -309, -333?
-357
What is next in 2288278, 2288277, 2288276, 2288275, 2288274, 2288273?
2288272
What is the next term in 61624, 123263, 184902, 246541, 308180?
369819
What is the next term in 37810, 151279, 340400, 605179, 945622, 1361735?
1853524
What is the next term in -4415, -4402, -4375, -4328, -4255, -4150?
-4007
What comes next: -74794, -74803, -74812, -74821, -74830?
-74839
What is the next term in 9, 245, 515, 837, 1229?
1709
What is the next term in -50, -127, -248, -431, -694, -1055?
-1532
What is next in 636, 2559, 5774, 10287, 16104?
23231
What is the next term in 19504, 39015, 58548, 78115, 97728?
117399
What is next in -691, -1359, -2027, -2695, -3363, -4031?
-4699
What is the next term in -122, -262, -400, -536?
-670
What is the next term in -10889, -21762, -32635, -43508, -54381, -65254?
-76127
What is the next term in 878, 1786, 2694, 3602, 4510?
5418
What comes next: -119988, -119990, -119992, -119994, -119996, -119998?
-120000
What is next in 36, 131, 300, 555, 908, 1371, 1956?
2675
What is next in 336, 2614, 8770, 20736, 40444?
69826
What is next in -678, -615, -544, -465?
-378
What comes next: 411, 435, 483, 567, 699, 891?
1155
What is next in -231, -216, -155, -24, 201?
544
What comes next: -21, -142, -263, -384, -505, -626?
-747
What comes next: -15062, -60206, -135446, -240782, -376214, -541742, -737366?
-963086
What is the next term in -16938, -33880, -50822, -67764, -84706?
-101648
What is the next term in -168, -351, -576, -843, -1152?
-1503
What is the next term in -9837, -10507, -11177, -11847, -12517?
-13187
What is next in -189, -336, -437, -468, -405, -224, 99, 588?
1267
What is next in 13366, 13368, 13370?
13372
What comes next: 1268187, 1268185, 1268183, 1268181?
1268179
What is next in -882, -1813, -2726, -3615, -4474, -5297, -6078?
-6811
What is next in -1356149, -1356145, -1356139, -1356131, -1356121, -1356109, -1356095?
-1356079
What is next in 6958, 13904, 20852, 27802?
34754
What comes next: -277, -1454, -4661, -10912, -21221, -36602?
-58069
What comes next: -69, -153, -221, -273, -309, -329?
-333
What is next in -61193, -61198, -61203, -61208, -61213, -61218?
-61223
What is the next term in 19432, 19435, 19440, 19447, 19456, 19467?
19480
What is next in -367649, -367645, -367643, -367643?
-367645
What comes next: 62444, 62471, 62518, 62591, 62696?
62839
What is the next term in -73911, -73909, -73905, -73899, -73891, -73881, -73869?
-73855
What comes next: 8217, 32857, 73923, 131415, 205333, 295677, 402447?
525643
What is next in 652, 2845, 6500, 11617?
18196
What is next in 25172, 25169, 25166, 25163?
25160
What is next in -430, -1597, -3524, -6205, -9634, -13805, -18712?
-24349
What is next in 41, 36, 31, 26?
21
What is next in -390193, -390189, -390185, -390181, -390177, -390173?
-390169
What is the next term in 46, 238, 512, 832, 1162, 1466, 1708?
1852
What is next in -1179, -4722, -10629, -18900, -29535, -42534?
-57897
What comes next: -2298439, -2298438, -2298437, -2298436?
-2298435
What is the next term in 116, 284, 452, 620?
788
What is next in 32408, 32390, 32372, 32354?
32336
What is next in -2794, -5302, -7810, -10318, -12826?
-15334
What is the next term in -655, -2616, -5883, -10456, -16335?
-23520
What is next in 20481, 20486, 20491, 20496?
20501
What comes next: -187, -825, -1913, -3451, -5439?
-7877
What is the next term in -2819, -11063, -24733, -43829, -68351?
-98299
What is the next term in 4935, 9870, 14805?
19740
What comes next: -171, -76, 17, 108?
197
What is the next term in 512, 4280, 14514, 34448, 67316, 116352, 184790, 275864?
392808
What is next in -7938, -7914, -7876, -7818, -7734, -7618, -7464, -7266?
-7018
What is next in -15544, -62174, -139888, -248686, -388568, -559534, -761584?
-994718
What is the next term in 10107, 10111, 10117, 10125, 10135, 10147?
10161
What is next in -711712, -711710, -711708, -711706?
-711704
What is next in -843, -1653, -2465, -3279?
-4095
What is the next term in 165859, 331725, 497591, 663457, 829323?
995189
What is the next term in 1364, 2655, 3946, 5237, 6528?
7819
What is the next term in 23455, 46905, 70355?
93805
What comes next: -79, -306, -691, -1234, -1935, -2794, -3811?
-4986
What is next in -343, -300, -255, -208, -159, -108?
-55
What is the next term in 64, 121, 266, 499, 820, 1229, 1726?
2311
What is the next term in -124, -500, -1134, -2026, -3176, -4584, -6250?
-8174
What is next in 17012, 17002, 16984, 16952, 16900, 16822, 16712?
16564
What is the next term in -830, -2323, -4482, -7307?
-10798
What comes next: 538892, 538897, 538902?
538907
What comes next: -3727, -3728, -3731, -3736?
-3743
What is next in 947, 3310, 7247, 12758, 19843, 28502, 38735?
50542
What is next in -1904, -1832, -1712, -1544, -1328, -1064, -752?
-392
What is the next term in 992, 1003, 1028, 1067, 1120, 1187, 1268?
1363
What is the next term in 66, 551, 1870, 4443, 8690?
15031
What is next in -1427, -1385, -1291, -1121, -851, -457, 85?
799
What is next in -486, -403, -326, -261, -214, -191, -198?
-241
What is the next term in -327, -584, -839, -1086, -1319?
-1532
What is next in -434, -567, -926, -1625, -2778, -4499, -6902, -10101?
-14210
What comes next: -241, -268, -299, -328, -349?
-356
What is the next term in -13819, -13818, -13817?
-13816
What is next in -1557092, -1557093, -1557094, -1557095, -1557096?
-1557097
What is the next term in 3000, 2411, 814, -2295, -7420, -15065, -25734, -39931?
-58160
What is next in 39107, 78198, 117271, 156320, 195339, 234322, 273263?
312156
What comes next: -74994, -74993, -74992, -74991, -74990, -74989?
-74988
What is the next term in 284, 342, 400, 458?
516
What comes next: 4114, 8232, 12350, 16468, 20586?
24704
What is next in -92, -357, -806, -1451, -2304, -3377?
-4682
What comes next: -738, -1109, -1480, -1851, -2222?
-2593
What is the next term in 521, 936, 1337, 1724, 2097, 2456, 2801?
3132
What comes next: 5397, 6196, 8365, 12588, 19549, 29932, 44421?
63700
What is next in 1616385, 1616383, 1616381?
1616379
What is the next term in -1031, -1058, -1101, -1166, -1259, -1386, -1553, -1766?
-2031
What comes next: 2987, 3005, 3029, 3065, 3119, 3197, 3305?
3449
What comes next: 1600, 3180, 4742, 6286?
7812
What is the next term in -1093, -1132, -1173, -1210, -1237, -1248?
-1237
What is next in -7661, -15232, -22817, -30422, -38053?
-45716
What is the next term in 1018, -423, -2826, -6191?
-10518
What is the next term in 1696, 1662, 1628, 1594, 1560, 1526?
1492
What is next in -619, -2429, -5445, -9667, -15095?
-21729
What comes next: 5213, 10114, 15015?
19916
What is the next term in 4914, 9866, 14804, 19722, 24614, 29474?
34296
What comes next: 459, 665, 877, 1095, 1319, 1549?
1785
What is the next term in 96, 327, 690, 1191, 1836, 2631?
3582
What is next in 61342, 122695, 184048, 245401, 306754, 368107?
429460
What comes next: -702, -1696, -2694, -3696, -4702?
-5712
What is next in -6021, -12008, -17995?
-23982
What is next in 2115, 8495, 19127, 34011?
53147
What is the next term in 103, 321, 609, 1003, 1539?
2253
What is the next term in 564, 576, 596, 624, 660?
704
What is the next term in 18163, 36327, 54491, 72655?
90819
What is the next term in -17680, -70672, -158990, -282634, -441604, -635900, -865522?
-1130470
What is the next term in -1449, -2915, -4381?
-5847
What is next in 969, 1072, 1175, 1278, 1381?
1484
What is the next term in -90, -663, -2220, -5253, -10254, -17715?
-28128
What is the next term in -81, -158, -259, -390, -557, -766?
-1023
What comes next: -1840, -2366, -2880, -3
|
{
"pile_set_name": "DM Mathematics"
}
|
1)**2*(k + 2)/5
Suppose 2*x = -2*b - 34, -4*x = -57*b + 62*b + 85. Factor 4/3*o**2 + x*o + 2*o**3 + 2/3*o**4 + 0.
2*o**2*(o + 1)*(o + 2)/3
Let a(h) be the first derivative of -3*h**4/16 - 41*h**3/2 - 1197*h**2/2 + 2646*h - 1364. Suppose a(q) = 0. What is q?
-42, 2
Let x = 17861 + -17856. Let r(y) be the second derivative of 6/5*y**x + 4/3*y**4 - 4*y**2 - 4/15*y**6 - 2*y**3 - 2/7*y**7 - 7*y + 0. Solve r(n) = 0.
-1, -2/3, 1
Let t(r) be the third derivative of r**8/1176 + 6*r**7/245 - 34*r**6/105 + 33*r**5/35 + 45*r**4/28 - 72*r**3/7 + 2*r**2 - r + 39. What is m in t(m) = 0?
-24, -1, 1, 3
Let m(d) be the first derivative of d**6/48 + 7*d**5/40 + 7*d**4/16 + d**3/3 - 3796. Determine s, given that m(s) = 0.
-4, -2, -1, 0
Let b = 59 - 43. Suppose -4*y = 4*o - 3*y - b, 3*o - 12 = -y. Suppose j + 4*j**2 - 12*j**2 + 0*j - 5*j - o*j**3 = 0. What is j?
-1, 0
Let y(a) be the first derivative of 2*a**5/25 + 23*a**4/10 - 20*a**3/3 - 554. Factor y(t).
2*t**2*(t - 2)*(t + 25)/5
Let g(a) be the second derivative of -a**4/12 - a**3/6 - a**2/2 + 184*a. Let b(i) = -4*i**3 + 95*i**2 - 189*i + 44. Let z(x) = b(x) + 2*g(x). Factor z(h).
-(h - 21)*(h - 2)*(4*h - 1)
Suppose -3*o - 20 = -35. Suppose -12*w + o = -19. Suppose -2*u - 2*u**3 + 0*u - 35*u**w + 31*u**2 = 0. Calculate u.
-1, 0
Let v(o) be the first derivative of -45 + 1/3*o**3 + 0*o + 15/2*o**2. Find a, given that v(a) = 0.
-15, 0
Factor 1263/4*y + 63/2 + 15/2*y**2.
3*(y + 42)*(10*y + 1)/4
Suppose -5 - 1 = 3*d, 3*d = -s + 30. Suppose -w + o - 21 = 6*o, 0 = -4*w + 4*o + s. Factor 1 + c - 1/4*c**w - 3/4*c**2 - c**3.
-(c - 1)*(c + 1)*(c + 2)**2/4
Suppose -7*m + 115 = -144. Suppose m + 38 - 9*j - 21 + 3*j**2 + 36*j = 0. What is j?
-6, -3
Let n(r) = 3*r**4 - 27*r**3 + 123*r**2 + 1353*r - 1467. Let i(h) = -2*h**3 + 2*h**2 + 1. Let s(v) = -15*i(v) - n(v). Suppose s(d) = 0. What is d?
-4, 1, 11
Let -82/9*u**3 - 2/9*u**5 + 40/3*u + 8/9*u**2 + 28/9*u**4 + 0 = 0. Calculate u.
-1, 0, 2, 3, 10
Let u be 3/2*(-16)/(-6). Solve 12*v**4 - 12*v + 7*v**2 + u*v**5 + 8*v**3 + 4*v**2 - 19*v**2 - 4 = 0 for v.
-1, 1
Suppose -2*u + 63 - 41 = 5*w, -5*u = 20. Factor 1/2*x**4 + 13/2*x**2 - 3*x**3 + 2 - w*x.
(x - 2)**2*(x - 1)**2/2
Let x(i) be the third derivative of -i**10/151200 + i**9/3780 + i**5/30 - 78*i**2. Let m(c) be the third derivative of x(c). Solve m(g) = 0 for g.
0, 16
Let o be 16 - (24 + -5 + (-7)/1). Let g be 0 - -2*4/16. Solve -1/8*u**2 + 1/8*u**o - 1/2*u**3 + 0 + g*u = 0.
-1, 0, 1, 4
Suppose 346*l - 15 = 343*l. Let 3 - 35*f**3 - 13 - l*f**4 + 90*f**2 + 8 + 2 = 0. Calculate f.
-9, 0, 2
Suppose 2*j + 3 = d - 2*j, 3*j = 0. Suppose 2*i - 9 = -2*u + 7, d*i - 4 = u. Let -16*r**4 - 6*r - 16*r**i + 19*r**4 + 15*r**2 + 4*r**3 = 0. Calculate r.
0, 1, 2
Let r(k) be the third derivative of -k**5/270 + 2729*k**4/108 + 12*k**2 + 13*k + 6. Factor r(f).
-2*f*(f - 2729)/9
Let i(r) = 61*r**3 + 3*r**2 + r - 3. Let h be i(1). Let l be -9 + 12 + h/(-22). Solve -6/11*u**2 - l*u**3 - 4/11*u + 0 = 0.
-2, -1, 0
Let z(m) = 2*m + 68. Let g be z(-4). Factor -60*l**2 - g*l + 111*l**2 - 53*l**2.
-2*l*(l + 30)
Let v(n) be the second derivative of 3*n**5/100 - 3*n**4/2 + 27*n**3/10 + 87*n**2/5 + 1863*n. Let v(k) = 0. Calculate k.
-1, 2, 29
Let h = 16141/28665 + -24/3185. Let l(c) be the third derivative of 4/45*c**5 + 0 - 4*c**2 + 25/18*c**3 + h*c**4 - 6*c. Suppose l(v) = 0. Calculate v.
-5/4
Let o(y) be the third derivative of y**5/120 + 3*y**4/8 + 77*y**3/12 - 3651*y**2. Factor o(d).
(d + 7)*(d + 11)/2
Factor -2/9*i**5 - 352/9*i**2 - 116/3*i**4 + 78*i**3 + 0 + 0*i.
-2*i**2*(i - 1)**2*(i + 176)/9
Factor -2/3*n**2 + 212/3*n + 0.
-2*n*(n - 106)/3
Let w be -4 + (66/5)/((-39)/(-260)*14). Factor -12/7*r - w*r**2 - r**3 - 1/7*r**4 + 0.
-r*(r + 2)**2*(r + 3)/7
Suppose 3132*t + 3*t**2 + 2810 + 3069 + t**2 + 369 = 0. What is t?
-781, -2
Let i(n) be the second derivative of -n**5/300 + 9*n**4/10 - 486*n**3/5 + 61*n**2/2 + 38*n. Let z(j) be the first derivative of i(j). Factor z(w).
-(w - 54)**2/5
Let q(n) be the second derivative of -n**5/80 + 13*n**4/24 - 169*n**3/24 - 3*n - 365. Suppose q(j) = 0. Calculate j.
0, 13
Let s(u) be the first derivative of 1/6*u**4 + 2/3*u**2 + 219 - 7/9*u**3 + 1/15*u**5 + 0*u. Factor s(v).
v*(v - 1)**2*(v + 4)/3
Let d be -23 + 13 + 9 - (103/(-19) + 4). Factor -22/19*f - 18/19*f**2 + 2/19*f**4 - d - 2/19*f**3.
2*(f - 4)*(f + 1)**3/19
Solve -13 - 91*x**2 + 86*x**2 + 13 + 5*x**4 = 0 for x.
-1, 0, 1
Let j(i) be the first derivative of -7*i**4/10 + 8*i**3/5 - 3*i**2/5 - 4*i/5 - 5255. Factor j(x).
-2*(x - 1)**2*(7*x + 2)/5
Let y(a) be the first derivative of a**6/15 + 28*a**5/25 + 38*a**4/5 + 80*a**3/3 + 256*a**2/5 + 256*a/5 - 6951. Factor y(h).
2*(h + 2)**3*(h + 4)**2/5
Let i be 190841/274*(-2)/6*(-45)/70. Suppose 1107/4*g**3 + 879/4*g**2 + 105/4*g**5 + 9 + i*g**4 + 75*g = 0. Calculate g.
-3, -1, -2/5, -2/7
Factor 600/11*h - 2000/11 - 60/11*h**2 + 2/11*h**3.
2*(h - 10)**3/11
Suppose -67*a + 768 = 250*a + 134. Suppose -1/4 + 1/3*u - 1/12*u**a = 0. What is u?
1, 3
Let t be (-3 - -1)/((-1896)/630 - -3). What is r in -3*r**2 + 215*r**3 - t*r**3 - 5*r**4 + 13*r**2 = 0?
-1, 0, 2
Let i be (3 + -2*21/18)*15. Let -5*g**5 - i*g - 25*g**4 - 23*g**2 - 12*g**2 - 39*g**3 - 6*g**3 = 0. Calculate g.
-2, -1, 0
Let b(q) be the third derivative of 11*q**7/735 + 41*q**6/140 + 22*q**5/15 + 19*q**4/7 + 32*q**3/21 - 59*q**2 + 26*q. Find u, given that b(u) = 0.
-8, -2, -1, -2/11
Let q(i) be the second derivative of -243*i**5/80 + 2097*i**4/16 + 2405*i**3/8 + 2025*i**2/8 + 3*i - 49. Factor q(u).
-3*(u - 27)*(9*u + 5)**2/4
Let f(o) = 125*o - 41 - 171*o**3 - 107*o**3 + 333*o**3 + 221*o**2. Let l(w) = 9*w**3 + 37*w**2 + 21*w - 7. Let c(p) = 6*f(p) - 34*l(p). Factor c(g).
4*(g + 1)*(g + 2)*(6*g - 1)
Let l = -30 - -34. Let g(z) be the first derivative of l*z**2 + 231*z - 228*z + z**3 - z**2 - 6. Let g(h) = 0. What is h?
-1
Let k(h) be the first derivative of h**4/6 + 88*h**3/9 - 139*h**2/3 + 188*h/3 - 1697. Find t, given that k(t) = 0.
-47, 1, 2
Let w(h) be the second derivative of h**5/360 - 11*h**4/144 - h**3/3 + 51*h**2 + 118*h. Let v(t) be the first derivative of w(t). Suppose v(i) = 0. What is i?
-1, 12
Suppose -3*l + 2*k + 175 = -81, l - 74 = -5*k. Let t be 28/16*32/l. Factor t*u**3 + 0 + 0*u**2 + 0*u.
2*u**3/3
Let v(d) be the first derivative of -d**8/840 - 17*d**7/1050 - d**6/15 - 4*d**5/75 - 43*d**2/2 - d - 92. Let h(w) be the second derivative of v(w). Factor h(m).
-m**2*(m + 4)**2*(2*m + 1)/5
Let r = 236 - -68. Factor -4*h**2 + 2258 - r*h - 3423 - 4611.
-4*(h + 38)**2
Let t be 200/700 + 4/(-14). Let l(x) be the second derivative of -1/42*x**4 + 1/105*x**6 + t*x**2 - 6*x + 0 + 0*x**3 + 0*x**5. Suppose l(f) = 0. Calculate f.
-1, 0, 1
Solve 2/5*s**5 - 418/5*s**2 - 414/5*s**3 + 0 - 28*s - 134/5*s**4 = 0 for s.
-1, 0, 70
Let w(v) be the second derivative of 0*v**3 - 1/336*v**7 + 1 + 0*v**4 + 1/160*v**5 + 0*v**2 - 15*v + 0*v**6. Factor w(s).
-s**3*(s - 1)*(s + 1)/8
Let t(o) = -2*o**2 + 17*o - 3. Let i be t(8). Suppose 5*w + 1 = 16, -f + 18 = i*w. Factor -80*d**3 - f*d**5 + 79*d**3 - 2*d**4 + 2*d**5.
-d**3*(d + 1)**2
Let d(n) = 10*n**2 - 30*n + 14. Let c(m) = -2*m**2 + 6*m - 3. Let q = 18 - 4. Let r(i) = q*c(i) + 3*d(i). Factor r(s).
2*s*(s - 3)
Suppose 85*r + 56*r - 366 = 2*r - 44*r. Determine t, given that -33/7 + 3/7*t + 99/7*t**r + 57/7*t**3 - 6/7*t**4 = 0.
-1, 1/2, 11
Let b(r) = 9*r**3 - 187*r**2 - 848*r - 856. Let q(p) = 29*p**3 - 555*p**2 - 2542*p - 2567. Let m(w) = -13*b(w) + 4*q(w). Determine s so that m(s) = 0.
-2, 215
Let f(w) = w**3 + 5*w**2 - 2*w - 5. Let r be f(-5). Suppose 33*p + 84*p = 234. Factor -10*v + 4*v**2 - v**2 + p*v**2 - r*v.
5*v*(v - 3)
Suppose 0 = -737*y + 741*y - 32. Determine b so that -y + 28/5*b + 4/5*b**4 - 28/5*b**3 + 36/5*b**2 = 0.
-1, 1, 2, 5
Let n(l) be the third derivative of -1/300*l**5 - 5*l**2 + 1/5*l**4 - 8/15*l**3 - 1 - 1/100*l**6 + 0*l - 1/1050*l**7. Factor n(y).
-(y - 1)**2*(y + 4)**2/5
Suppose q - 27 - 17 = 0. Suppose 5*x = -14 + q. Let 9 - 24*n**2 - x*n - 27*n**2 + 48*n**2 = 0. Calculate n.
-3, 1
Determine a so that 2503*a - 608*a - 27*a**2 + 32*a**2 = 0.
-379, 0
Factor 150 - 3645 - 3*h**2 + 14*h**2 - 8*h**2 + 684*h.
3*(h - 5)*(h + 233)
Let q = 187258/312095 - 1/312095. Factor -q - 2*d - 4/5*d**3 - 11/5*d**2.
-
|
{
"pile_set_name": "DM Mathematics"
}
|
common divisor of r and 14.
14
Suppose 2*u = 12 + 20. What is the highest common divisor of u and 184?
8
Let q be 25 - 0/(-1 - 1). Suppose 22*s - 14*s = 800. What is the highest common divisor of q and s?
25
Let f(a) = 29*a**3 + a**2. Let r be f(1). Let u be 2/(-9) + (-209)/(-9). Suppose 0 = 2*w + u - 43. What is the highest common divisor of w and r?
10
Let s = 107 + 3. Let i = 12453 + -12443. Calculate the greatest common factor of i and s.
10
Let o(a) = a**3 + 31*a**2 + 13*a - 70. Let r be o(-30). Calculate the highest common divisor of 80 and r.
40
Let n = 140 - 134. Let j = 18 + -12. What is the greatest common divisor of n and j?
6
Suppose 3*o + 4*k - 7 = 511, 0 = -3*o + 2*k + 542. Let s = -88 + 163. Let p = s + o. Calculate the greatest common divisor of 23 and p.
23
Let m(x) = -18 + 17 + x**2 - 3*x + x - x. Let i be m(8). What is the highest common divisor of 13 and i?
13
Let y(x) = -21*x - 182. Let s be y(-13). Calculate the highest common divisor of 13 and s.
13
Let t be 1/(-4) - (4302/(-24) - 1). What is the highest common factor of 36 and t?
36
Let o = -56 - -146. Calculate the greatest common divisor of 12 and o.
6
Let w be 30/(-20)*(-13 - 1). Let d = 32 - w. Let t be 87*(3 + -2) - -1. Calculate the greatest common factor of t and d.
11
Let y = -11 - 34. Let q = y + 67. What is the highest common divisor of q and 22?
22
Let k be 8/14 + (-256)/56. Let j be -28*k/(5 + -3). What is the highest common factor of 84 and j?
28
Let r = 115 + -79. Let z be 5/(-10)*-1*r. Calculate the highest common factor of z and 54.
18
Let q be 60 + (1 - -1) - 4. Suppose 2*r + q = 4*l - 3*r, -5*l = 3*r - 54. Calculate the greatest common factor of 96 and l.
12
Suppose 378 = 15*z + 78. What is the greatest common divisor of z and 65?
5
Suppose 3*y = -0*y + 6. Let n be (1 + y)/((-3)/44). Let i be 1*n/(0 + -4). Calculate the highest common factor of i and 55.
11
Suppose z = 2*z - 43. Let k = z + -30. Let u(f) = -3*f - 140. Let t be u(-51). What is the highest common factor of t and k?
13
Let n be ((-3)/2)/((-18)/(-24)). Let y be 2/n - 2 - 1. Let d be (-153)/y - 15/(-20). What is the highest common factor of 26 and d?
13
Let x = 126 + -105. What is the highest common divisor of x and 28?
7
Let u be 4/18 - 373*(-26)/18. What is the greatest common factor of u and 11?
11
Let u = 14 + 8. Let a = u + -13. Let n(h) = h + 24. Let d be n(-6). Calculate the highest common divisor of d and a.
9
Let x(v) = -v + 9. Let j be x(0). Let a(w) = 6*w - 19. Let u be a(j). Calculate the highest common factor of u and 5.
5
Let o = 2799 - 2786. What is the highest common factor of o and 936?
13
Let f be (-16)/(-12)*-2*-30. Let h be -1 + (-1)/(-1) - -8. What is the highest common factor of h and f?
8
Let o = 52 + -40. Let g = -154 + 286. What is the highest common divisor of g and o?
12
Let o = -13 - -29. Suppose 0*y + 2*y + o = d, 6 = -3*y. Suppose 4*m = -0*m + 48. What is the highest common divisor of d and m?
12
Suppose -52 = -23*m + 19*m. Suppose -2*y + 5*t + m = 0, 4*y + 11 = 5*y + 2*t. Calculate the highest common divisor of 45 and y.
9
Let p(y) = 19*y - 10*y + 17*y - 17. Let i be p(7). Calculate the greatest common divisor of 66 and i.
33
Suppose 0 = -7*q + 94 + 452. Let u be (-72)/(-39) + 12/q. Calculate the greatest common divisor of 2 and u.
2
Let m(v) = -v**3 + 12*v**2 - 5*v - 26. Let o be m(11). What is the greatest common factor of o and 10?
10
Let p be ((-40)/(-84)*-6)/((-30)/105). What is the greatest common divisor of p and 65?
5
Let s be 3/6*-6 + -10. Let r(k) = -4*k - 7. Let f be r(s). Suppose 27 = 6*o - 3*o. What is the greatest common factor of o and f?
9
Let r be -2*(114/4)/(-1). Let k = 7533 + -7514. What is the greatest common divisor of k and r?
19
Suppose -49*i + 432 = -13*i. What is the highest common divisor of i and 180?
12
Suppose -2*g - 2 = 8, -2*v - 56 = 4*g. Let s = v + 31. Suppose 2*m - 178 = 4. Calculate the highest common factor of s and m.
13
Suppose -6 = -c + 9. Suppose -9 = c*z - 16*z. What is the greatest common divisor of z and 63?
9
Suppose 3*z + 15 = 6*z + 4*j, 3*j = 9. Let x = -11 - -15. Calculate the greatest common factor of z and x.
1
Let f be 4218/8 - (-3)/72*-6. What is the highest common divisor of f and 31?
31
Suppose 0*v - v + 4 = 0. Suppose -47 = -y + l, -7*y + 280 = -2*y + v*l. What is the highest common divisor of 13 and y?
13
Let r(u) = u**2 - 3*u - 7. Let t(g) = -4*g - 6. Let q be t(-5). Suppose -q = -8*x + 6*x. Let c be r(x). Calculate the highest common divisor of c and 3.
3
Let u(k) = k**2 + 39*k - 93. Let x be u(-42). Calculate the greatest common factor of x and 66.
33
Suppose -n + 7 = 33*w - 36*w, -6 = 2*n + 4*w. Calculate the greatest common factor of 10 and n.
1
Let m be 34 - -3 - (-5 - (-3 - 3)). Calculate the greatest common divisor of 12 and m.
12
Let y be ((-1)/1)/((-3)/351*1). Calculate the greatest common factor of 78 and y.
39
Suppose 12*b = 10*b + 5*g + 96, 3*b + g - 144 = 0. Calculate the greatest common factor of 256 and b.
16
Let t = 714 - 712. Calculate the greatest common divisor of t and 65.
1
Let d(c) = -10*c - 5. Let i be ((-8)/10)/((-2)/30). Let s = i + -23. Let j be d(s). What is the greatest common factor of 21 and j?
21
Suppose 2*q = 2*g + 1422, 4*q + 18*g = 16*g + 2862. Calculate the highest common factor of q and 102.
102
Let d = -85 - -119. Suppose -5*y + 291 = 3*x, -2*y = -3*x + 3*y + 321. Calculate the greatest common factor of d and x.
34
Let w be 46/(-3) + -2*1/(-6). Let i be (-3)/15 - 18/w. What is the highest common divisor of i and 4?
1
Let s(m) be the first derivative of 12*m**3 + m + 9. Let v be s(1). Calculate the greatest common divisor of v and 333.
37
Let h be -1 - -21 - (-5 + 7). Suppose -2*l + 144 = 5*k, 0 = -2*k - 0*k. Calculate the highest common factor of l and h.
18
Let a(x) = 30*x**2 - 4*x - 10. Suppose v + 0 = -3. Let l be a(v). Calculate the highest common factor of l and 34.
34
Let k be (-30)/70 - (-435)/35. Let y(s) = 29*s + 1. Let p be y(1). Calculate the highest common factor of p and k.
6
Suppose -91 = -4*f - c, 14*c - 13*c = 3. Calculate the greatest common divisor of 638 and f.
22
Let q = -3479 - -3503. Suppose 2*o = -1 - 1. Let u(l) = -239*l + 1. Let k be u(o). Calculate the highest common divisor of q and k.
24
Let w(n) = 2*n**2 + 14*n - 35. Let q be w(-9). What is the highest common factor of 3 and q?
1
Let z(g) = -g**3 + 6*g**2. Let l be z(6). Suppose l = -5*o - 4 + 169. Let p be (66/(-8))/(3/(-8)). Calculate the greatest common divisor of o and p.
11
Suppose i - 15 = -2*f, f - 5*i + 12 = 4*f. Let s = -67 - -139. Calculate the greatest common factor of f and s.
9
Let j = 11 - 11. Let d be (13 + (1 - j))*30/4. What is the greatest common divisor of 21 and d?
21
Suppose -17*c + 504 = -15*c. Suppose -2*d = -5*v - 630, 3*v - 3*d - c = 5*v. Let s be -3 - (v + 0 + -3). What is the greatest common factor of s and 14?
14
Let z be ((-1424)/22)/4 - 6/(-33). Let n(c) = c**3 + 15*c**2 - 22*c - 51. Let y be n(z). Calculate the highest common divisor of 36 and y.
9
Let g be 12/(-42) + (-860)/28. Let t be 2/2*(-30 - g). Calculate the highest common factor of 8 and t.
1
Suppose -y - 5*y = -876. What is the highest common divisor of y and 73?
73
Let z = -137 + 317. What is the highest common factor of 40 and z?
20
Let c = 1547 + -1511. Let q = -19 - -33. Let l be (-1 - 1) + q + -3. Calculate the highest common factor of l and c.
9
Let b(w) = 46*w**2 - 6 + 8*w - 92*w**2 + 45*w**2. Let q be b(7). Suppose -p - 2*p - 4*s + 41 = 0, 3*p - s = 16. What is the greatest common divisor of p and q?
1
Let j be (-5)/1 + -2 + (-7 - -229). What is the greatest common factor of 43 and j?
43
Suppose 2*n - n + 3*h - 86 = 0, -5*h = 2*n - 176. Calculate the greatest common divisor of n and 14.
14
Suppose -2*a - 50 = -54. Suppose -y + 2*g + a*g + 45 = 0, -4*g = 2*y - 42. What is the greatest common factor of y and 87?
29
Suppose -2*y - 57 = -3*t + y, -5*t = y - 113. Let u(i) = 26*i**2 - 8*i - 1. Let d be u(-1). What is the greatest common divisor of t and d?
11
Let p(m) = 10*m + 184. Let r be p(0). What is the greatest common divisor of 782 and r?
46
Let x = 21 - 17. Suppose r + 159 = x*r - 3*z, 2*z = -2*r + 86. What is the greatest common divisor of r and 6?
6
Suppose 0 = -s + 7 - 4. Suppose c
|
{
"pile_set_name": "DM Mathematics"
}
|
f 33 and q?
3
Let v(l) = -7*l**2 - l + 6. Let t(s) = 14*s**2 + 3*s - 13. Let m(q) = -3*t(q) - 7*v(q). Let j be m(-1). Calculate the greatest common divisor of 18 and j.
6
Suppose -2*m - 5*r + r + 36 = 0, 83 = 5*m + 3*r. Let l be -13 + -5 + 5 + 77. What is the greatest common divisor of m and l?
16
Suppose 0 = 4*s + j - 159, 0*j + 2*j - 158 = -4*s. Let i = -111 + 94. Let a = 33 + i. Calculate the highest common divisor of a and s.
8
Let x be ((-3050)/30)/(1/(-6)). Let j be (-1)/((-2)/(-4)) + 4. Suppose 6*u + 3*n = j*u + 486, 5*u + 5*n = x. What is the greatest common divisor of u and 15?
15
Let z be (-15)/20 - 1/(-8)*-2. Let i be 3/1 - -2 - (1 - z). Let j be 21 + (0 - 1 - -4). Calculate the greatest common factor of j and i.
3
Let b = 17 - 6. Suppose -218 = -b*n + 57. Let i = 1 + 4. What is the greatest common divisor of i and n?
5
Let w(p) = -3*p**2 - 62*p + 289. Let j be w(-23). Calculate the highest common factor of j and 304.
16
Suppose 0*l - 2*l = -28. Let x = -70 + 125. Suppose h = x + 15. What is the highest common factor of l and h?
14
Let w be (-16)/((-10)/5) - 4. Let j be w - (0/5 - 76). What is the greatest common factor of 20 and j?
20
Suppose 5*p + j - 24 = 0, -73*p + 77*p = -2*j + 24. Suppose 0*i - 3*i - 45 = 0. Let r be ((-6)/i)/((-1)/(-5)). What is the greatest common divisor of p and r?
2
Suppose 56*k + 54 = 57*k. Calculate the highest common divisor of 81 and k.
27
Let s be (-3654)/(-231) - (-2)/11. Calculate the greatest common factor of s and 20.
4
Let r(n) = -86*n + 66. Let p be r(-4). What is the greatest common factor of p and 246?
82
Suppose u + u - 3*v = 28, 2*v = -3*u + 68. What is the greatest common divisor of u and 170?
10
Let z(p) = -p**3 - 10*p**2 + 5*p - 16. Let u be z(-11). Calculate the greatest common factor of u and 810.
10
Let t = 6 + -2. Let z be ((-3)/t)/(1/(-80)). Let f(r) = r**2 - 6*r + 24. Let w be f(6). What is the highest common factor of z and w?
12
Suppose 0 = -2*p - 3*h + 115, 233 = p + 3*p + 3*h. Suppose -o + 3*t = -t - 8, -p = -3*o + 5*t. Calculate the highest common divisor of 42 and o.
14
Suppose -6*g - 4*b = -3*g - 26, 0 = g - 3*b + 13. Suppose 27 = g*r - 129. What is the highest common divisor of 117 and r?
39
Let t(i) = -i**3 + 5*i**2 + 10*i - 4. Let k be t(5). Calculate the greatest common factor of 1334 and k.
46
Suppose 570 = 3*w + 7*w. Calculate the greatest common divisor of w and 228.
57
Let q = 13 - 27. Let m = -8 - q. Calculate the highest common factor of m and 3.
3
Let n(w) = 3*w**2 - 9*w - 4. Suppose -3*v - v - 8 = p, -5*p + 5*v = -35. Let y be n(p). What is the greatest common factor of y and 48?
8
Let x(w) = -w**3 - 9*w**2 + 3*w + 14. Let s be x(-7). Let t = s - -144. What is the highest common factor of 65 and t?
13
Let r be (3 - 1*-272) + -7. What is the greatest common factor of 8 and r?
4
Suppose -w - o = -3*w + 980, 3*o = 2*w - 980. Suppose -8*r + w = -14. What is the highest common factor of r and 7?
7
Suppose 2*b + 52 = -3*v, -v = b + 18 + 6. Let o = 165 + b. Calculate the greatest common factor of 58 and o.
29
Let h = 53 + -34. Suppose -2*r + 4*j = -28, 3*r - 3*j = 10 + 17. Suppose -3*s + 134 + 69 = 5*c, -r*s = -c - 309. What is the highest common divisor of s and h?
19
Let k = 310 + -186. Suppose -5*o - k = -4*w + 211, -3*w - 5*o = -225. Calculate the highest common factor of w and 60.
20
Let s = 111 + -75. Let l = -63 + s. Let d be 2 + (-6)/2 - l. Calculate the highest common factor of 39 and d.
13
Suppose 0 = -15*k + 154 - 109. Calculate the greatest common divisor of k and 27.
3
Suppose -k + 3*s = -s + 14, s - 11 = 4*k. Let f = 16 + -7. Let r = f + k. Calculate the greatest common divisor of r and 42.
7
Let b = -44 - -19. Let m = 55 + b. Suppose -2*r - 2 = -26. What is the highest common divisor of m and r?
6
Let z = 27 + 15. What is the greatest common factor of 434 and z?
14
Let g(z) = -152*z - 57. Let t be g(-5). Suppose 8*v = 2071 - t. Let h be 19*1 - 0/(-3). What is the greatest common factor of h and v?
19
Suppose -333 = 7*d + 101. Let s = d - -74. Suppose 3*p - 153 = -2*k, -p = -4*k - 3*p + 294. What is the greatest common factor of k and s?
12
Let a = 2 + -12. Let y be 2/(-5) - 594/a. Let m = y + -33. Calculate the greatest common divisor of 208 and m.
26
Let j = 418 + -370. What is the greatest common factor of j and 132?
12
Suppose j = -3*x + 81, 4*x = -0*x. Calculate the highest common factor of 351 and j.
27
Suppose 558 = -9*m + 2934. Calculate the highest common divisor of 33 and m.
33
Let f(l) = l**3 + 10*l**2 + 8*l - 3. Let m be f(-7). Let i be (0 + -2)/((-4)/16*1). Calculate the highest common factor of i and m.
8
Let w(j) = -j**3 - 23*j**2 - 33*j + 33. Let p be w(-22). What is the greatest common divisor of p and 33?
11
Let z be -2 + (-2842)/(-21) + 8/(-6). Calculate the greatest common divisor of 165 and z.
33
Let y be ((-10)/(-6))/(16/(-2352)). Let h = y + 520. Calculate the highest common factor of h and 25.
25
Let r(z) be the first derivative of z**3/3 + 19*z**2/2 - 22*z + 3. Let x be r(-9). Let h = x - -189. Calculate the greatest common divisor of 7 and h.
7
Let n be 34*(2*(-1)/2 + 2). What is the greatest common factor of 357 and n?
17
Let p(h) = 2*h**2 + 21*h + 11. Let t be p(-10). Let k be 105*6/9 - (-1 - t). Calculate the highest common divisor of 8 and k.
8
Suppose 0 = 3*p + 15, 0*l = -3*l - 5*p + 410. Suppose l - 529 = -16*r. Calculate the highest common divisor of r and 16.
8
Let y = 97 - 115. Let z = 41 + y. What is the highest common divisor of 184 and z?
23
Let p = -3413 + 3434. Suppose 0 = 2*w - 33 - 9. Calculate the greatest common factor of w and p.
21
Let p = 1087 - 1083. Calculate the greatest common divisor of p and 1076.
4
Let f be 3/6 + (-10)/(-4). Suppose 5*r + f = 33. Suppose -54 = -7*y + 6*y. What is the highest common divisor of y and r?
6
Let y(n) = -n**3 + 6*n**2 + n - 5. Let w(k) = k**3 + 5*k**2 + 4*k + 6. Let d be w(-4). Let g be y(d). What is the highest common divisor of 1 and g?
1
Suppose 47*n - 3*m - 87 = 43*n, -108 = -5*n + 3*m. Calculate the greatest common divisor of 7 and n.
7
Suppose 0*i - 4*i + 27 = g, -3*i - 3*g = -27. Let v be i/8 - 637/(-52). What is the greatest common factor of v and 117?
13
Let f = -138 - -10. Let v = -82 - f. What is the greatest common factor of 69 and v?
23
Let i = 11 - 8. Suppose 0 = -0*p + i*p - 258. Suppose -5*n = -2*b - 13 - 195, -2*n = 2*b - p. Calculate the highest common divisor of 7 and n.
7
Let d be 7 + (-1)/(4 + (-27)/6). What is the highest common factor of d and 24?
3
Let b(d) = -13*d - 21. Let y be b(-5). Let o = -4 + 4. Let l be (-2)/(-6)*o - -110. Calculate the highest common divisor of y and l.
22
Let z be (4/3 + -1)/((-4)/(-84)). Suppose -z*s = 7*s - 42. Calculate the highest common factor of s and 2.
1
Let q be 90/24 - (-6)/(-8). Suppose 77 + 130 = q*z. Calculate the highest common divisor of z and 23.
23
Let h be 2*(-10)/(-60)*(-24)/(-1). What is the greatest common factor of 520 and h?
8
Let s be (-38)/(-5) - 8/(-20). Suppose -8*y - 3*y = -968. What is the highest common divisor of s and y?
8
Suppose -i - 5*q = -315, 7*i - 5*q + 1215 = 11*i. What is the greatest common divisor of 80 and i?
20
Let h(d) = 2*d**2 + 1 - 1 + d + 0. Let p be h(3). Let s be ((-196)/p)/((-4)/18). What is the greatest common divisor of 6 and s?
6
Suppose n + 97 - 154 = 0. What is the highest common divisor of 152 and n?
19
Let k be 4 + (-18)/((-3)/(-117)*-2). Calculate the highest common divisor of 71 and k.
71
Let u(y) = -31*y - 239. Let q be u(-14). What is the greatest common divisor of q and 60?
15
Let l(s) = s**2 + 7*s + 12. Let o be l(6). Let a be 5 - 7*o/(-6). Calculate the highest common factor of 165 and a.
55
Let a = 1716 - 1704. Calculate the highest common divisor of 20 and a.
4
Let y(w) = -w**3 - 10*w**2 + 10*w. Let c be y(-13). What is the greatest common factor of 26 and c?
13
Suppose 28*r - 24*r - 28 = 0. What is the highest common divisor of r and 1211?
7
Let a = 3 + -1. Suppose -a*m = 5*u - 477, -6*m = -u - 3*m + 92. Let o = 76 - 38. What is the highest common divisor of u and o?
19
Let r(w) = 0*w**3 + 1 - 6*w**2 + 8*w**2 + w**3. Let d be r(-2). Suppose 3*b - 4*l = 66, -4*l - 13 + d = 0. Calculate the greatest common divisor of 18 and b.
18
Suppose -3*n + 8*p + 56 =
|
{
"pile_set_name": "DM Mathematics"
}
|
et h(u) = -47*u - 15. Let n(c) = 3*c + 1. Let a(z) = 2*h(z) + 31*n(z). Calculate -4*a(x) + v(x).
36*x**2 + x - 2
Let w(p) = -p**3 - p**2 + 1. Let v(d) = -2*d**2 + 4*d + 699. Let s(a) = 6*a**2 - 11*a - 1981. Let q(m) = 6*s(m) + 17*v(m). Give q(l) + w(l).
-l**3 + l**2 + 2*l - 2
Let q(n) = 38214*n**2 + 4632. Let v(s) = 8*s**2 + 1. Calculate -3*q(z) + 13896*v(z).
-3474*z**2
Let a(k) = 102*k - 5. Let u(n) = -41*n + 2. Let q(g) = -2*a(g) - 5*u(g). Let o(r) = -15*r. What is o(j) - 3*q(j)?
-18*j
Let b(c) = -35*c**3 - 769*c**2 + 12*c + 10. Let z(l) = 29*l**3 + 770*l**2 - 10*l - 8. What is -5*b(p) - 6*z(p)?
p**3 - 775*p**2 - 2
Let m(s) = -2*s**3 + 4*s**2 - 510*s - 5. Let y(w) = w**3 - 2*w**2 + 250*w + 3. Determine 3*m(x) + 5*y(x).
-x**3 + 2*x**2 - 280*x
Let i(b) = -635*b + 3. Let w(g) = 210*g - 1. Give 2*i(j) + 7*w(j).
200*j - 1
Let l(g) = -36*g**2 + 160*g - 35. Let f(t) = -18*t**2 + 91*t - 18. Determine -7*f(m) + 4*l(m).
-18*m**2 + 3*m - 14
Let c(p) = 2*p**3 - 3*p + 3. Suppose 103 + 152 = 3*z. Let o(u) = -27*u + 55*u**3 + 9*u - 51*u - 16*u + z. What is -170*c(m) + 6*o(m)?
-10*m**3
Let d(v) = -12*v**2 - v + 3. Let l(s) = 24*s**2 + 2*s - 7. Let w(q) = -31*q**2 - 1859*q + 57. Let f be w(-60). Give f*l(c) - 7*d(c).
12*c**2 + c
Let x(u) = -u. Let c(z) = -4*z**2 - 4. Let b(r) = c(r) - 2*x(r). Let t(p) = p**2 + 1. Suppose -m + 6 = -v, 426*v = -2*m + 424*v - 32. Determine m*t(y) - b(y).
-y**2 - 2*y - 1
Let c(a) = 17*a**2 + 6*a + 49. Let k(x) = -49*x**2 - 16*x - 152. Give -11*c(b) - 4*k(b).
9*b**2 - 2*b + 69
Let d(s) = s - 1. Let x(q) be the second derivative of q**3/3 - 3*q**2/2 - 7043*q. Suppose 0 = -3*k - 2*a - 4, -5*k + a - 5 = 6*a. What is k*x(v) + 6*d(v)?
2*v
Let i(w) = 8*w**2 + 11*w - 5. Let v(t) be the first derivative of 23*t**3/3 + 16*t**2 - 14*t - 2782. Determine 17*i(m) - 6*v(m).
-2*m**2 - 5*m - 1
Let i(s) = -7*s**3 + 4*s**2 + 21*s + 7. Let h(x) = -4*x**3 + 2*x**2 + 9*x + 3. Calculate -5*h(k) + 2*i(k).
6*k**3 - 2*k**2 - 3*k - 1
Let b(v) = -10*v**2 + 5*v - 9. Let l(r) = 5*r**2 - 2*r + 5. What is -2*b(x) - 5*l(x)?
-5*x**2 - 7
Suppose -3*c - c = 20. Let u(a) = 10*a**2 - 5. Let l(n) = 11*n**2 - 6. Suppose 28 = 4*o + 4*p, 0 = -o - 3*p + 61 - 52. Determine c*l(h) + o*u(h).
5*h**2
Let t(p) = 2*p**2 - 37*p - 1. Let g(q) = -12*q**2 + 221*q + 3. Calculate 3*g(k) + 19*t(k).
2*k**2 - 40*k - 10
Let i = -1541 + 1542. Let q(f) = -f**3 + f**2 + f. Let o(u) be the second derivative of 3*u**5/10 - 2*u**4/3 - 2*u**3/3 - 6*u + 1. Calculate i*o(g) + 4*q(g).
2*g**3 - 4*g**2
Let v(j) = -167*j**2 + 92*j**2 + 14 + 84*j**2 - 5*j. Let f(l) = -17 - 15 + 2*l + 38 - 11 - 3*l**2. Determine -11*f(i) - 4*v(i).
-3*i**2 - 2*i - 1
Let r(q) = -5*q + 3. Let h(g) = 4*g - 2. Suppose 0 = 3*b + 87 - 78. Let x = -18 + 30. Suppose -2*t = 4*k + 2*t - x, -10 = -5*k - 4*t. Calculate b*h(s) + k*r(s).
-2*s
Let u(w) = 6*w**2 - 8*w - 5. Let r(d) = 5*d**2 - 7*d - 5. Calculate 10*r(q) - 9*u(q).
-4*q**2 + 2*q - 5
Let m(v) = -4*v**2 - 11*v + 7. Let r(t) = -8*t**2 - 24*t + 14. Calculate 13*m(j) - 6*r(j).
-4*j**2 + j + 7
Let r(x) = 2*x**2 - x + 1. Let z(y) = 5*y**2 + y + 6. Let v(m) = 4*r(m) - z(m). Let k(n) = 48*n**2 - 81*n - 33. Determine -2*k(t) + 33*v(t).
3*t**2 - 3*t
Let m(b) = 2*b - 5. Let z(k) = 16*k**3 - 7*k + 14. Let g(s) = -13*s**3 + 7*s - 14. Let x(n) = -5*g(n) - 4*z(n). Calculate -7*m(q) - 2*x(q).
-2*q**3 + 7
Let h(s) = 12*s + 154 + 138 - 423 + 142. Let b(k) = -19*k - 16. Let x(f) = -5*b(f) - 8*h(f). Let a(w) = 3*w + 23. Give 6*a(p) + 17*x(p).
p + 2
Let d(l) = -2*l**2 - 22. Let y(q) = -q**3 + 12*q**2 + 20*q + 110. Let j be y(14). Let r(o) = 8*o**2 + 87. Determine j*r(g) - 9*d(g).
2*g**2 + 24
Let q(p) = 3332*p**3 - 5*p**2 - 15*p - 5. Let h(k) = 63309*k**3 - 94*k**2 - 282*k - 94. Determine -5*h(s) + 94*q(s).
-3337*s**3
Let w(z) = 4*z**3 + 2*z**2 + 3*z - 3. Let x(g) = -7*g**3 - 3*g**2 - 6*g + 5. Let s be 19 + (-14 - (-14)/(-7)). Determine s*x(f) + 5*w(f).
-f**3 + f**2 - 3*f
Let g(v) be the first derivative of 4*v**3/3 - 3*v**2/2 + v - 3261. Let d(o) = -7*o**2 + 5*o - 2. What is 3*d(n) + 5*g(n)?
-n**2 - 1
Let c(l) = -6*l**2 + l. Let y(g) = -5*g**2 - 4*g - 9. Let u(k) = 2*c(k) + y(k). Let w(o) = -25*o**2 - 3*o - 13. What is 7*u(t) - 5*w(t)?
6*t**2 + t + 2
Let r(n) = 2*n**2 + 2*n + 5. Let b be -4*(-16)/40*(-5)/(-4). Let c be 3*11/(-3)*b/(-2). Let t(p) = 5*p**2 + 5*p + 14. Determine c*r(a) - 4*t(a).
2*a**2 + 2*a - 1
Suppose -3*y = -0 + 3. Let p(c) = c**3 + c**2 - 1. Suppose -2*j - 73*j = 75. Let m(k) be the first derivative of k**3/3 + k - 2. What is j*m(v) + y*p(v)?
-v**3 - 2*v**2
Let h(a) = a + 1. Let t be (6/8)/((-9)/24). Let f(i) = 5*i + 4. Let l(q) = t*f(q) + 9*h(q). Let b(y) = -y**2 - 2*y + 4. What is -b(v) + 4*l(v)?
v**2 - 2*v
Let p(d) = 7*d**3 - 5*d**2 - 5*d. Let o = -2929 - -2925. Let t(k) = k**2 - k - 1. Let l be t(-2). Let a(q) = 6*q**3 - 4*q**2 - 4*q. Give l*a(i) + o*p(i).
2*i**3
Let o(q) = -415*q**3 + 5*q**2 - 10*q - 5. Let c(s) = -415*s**3 + 4*s**2 - 8*s - 4. Give -5*c(z) + 4*o(z).
415*z**3
Let j(z) be the third derivative of 5*z**4/24 - 65*z**2. Let o(t) = -59*t + 20*t + 19*t + 19*t. What is -6*j(n) - 22*o(n)?
-8*n
Let p(i) = -12*i - 8. Suppose -2*z + 3*o = 5*o, -4*z + 5*o = -54. Let d(y) = 3*y + 2. Determine z*p(x) + 22*d(x).
-6*x - 4
Let s(q) = 2*q - 5. Let p(l) be the third derivative of -l**4/24 + l**3/2 - 268*l**2. Give -10*p(i) - 4*s(i).
2*i - 10
Let g(y) = -33*y**2 - 5*y - 33. Let d(v) = -89*v**2 - 14*v - 95. Let f(q) = -3*d(q) + 8*g(q). Let k(z) = z**2 + z + 1. Determine -f(c) + 4*k(c).
c**2 + 2*c - 17
Suppose -84*v - 150 + 66 = 0. Let i(p) = p. Let z(g) = 14*g - 1. Give v*i(m) + z(m).
13*m - 1
Let z(a) = 2*a - 26. Let h be z(17). Let i(o) = 3*o + 8. Let v(p) = 6 - 3 - 2*p + 4*p - p. Let s = 291 - 294. Determine h*v(q) + s*i(q).
-q
Let w(c) = -14*c**2 + 6*c - 12. Let x(u) = 27*u**2 - 10*u + 29. Give -5*w(f) - 3*x(f).
-11*f**2 - 27
Let q(k) = -35*k - 2. Let h(u) = -18*u - 1. Let w(g) = -2*g**3 + 3*g**2 + 4*g + 2. Let n be w(2). Give n*q(y) - 10*h(y).
-30*y - 2
Let f be 2 + (-1338)/36 + (-3)/(-18). Let k(h) = 7*h**3 - 6*h**2 + 6*h - 6. Let m(q) = -42*q**3 + 35*q**2 - 35*q + 35. What is f*k(j) - 6*m(j)?
7*j**3
Let d(j) = -96746660*j + 116312. Let v(a) = -16636*a + 20. Calculate 5*d(n) - 29078*v(n).
8308*n
Suppose 38*d = 45*d - 42. Let u(p) = -4*p**2 + 13*p - 1. Let w(z) = -z**2 + z. What is d*w(k) - u(k)?
-2*k**2 - 7*k + 1
Let a(s) = 4*s**3 + 3*s**2 + 852*s + 9. Let l(x) = -7*x**3 - 5*x**2 - 1701*x - 15. Determine 5*a(j) + 3*l(j).
-j**3 - 843*j
Let i(j) = 4*j**3 + 7*j - 6. Let p be (-65)/5 + 5 + -2. Let y be ((-60)/(-50))/(-2 + (-18)/p). Let v(u) = -3*u**3 - 6*u + 5. What is y*v(s) - 5*i(s)?
-2*s**3 + s
Let g(k) be the first derivative of k**3/3 + k + 5. Let m(l) = l**3 - 6*l**2 - 4*l - 6. Suppose 119*j = 5*b + 116*j + 39, 3*j - 9 = 0. What is b*g(w) - m(w)?
-w**3 + 4*w
Let d(x) = x + 12. Let t be 26 - 25 - 10/(-1). Suppose 0 = -t*u - 15 - 18. Let v(h) = 3. Determine u*d(s) + 12*v(s).
-3*s
Let k be -15 + (-8)/(-10)*145/58 - -11. Let u(q) = -5*q + 50. Let r(v) be the second derivative of -v**2 + v. Determine k*u(t) - 50*r(t).
10*t
Let r(v) = v**3 + 9*v - 1. Let i(z) = -4*z. Let n(k) be the first derivative of -3*k**2 - 116*k - 45. Let p be n(-19). Determine p*r(b) - 5*i(b).
-2*b**3 + 2*b + 2
Let a(m) = -10*m**3 - 70*m**2 - 82*m + 2. Let h(v) = 9*v**3 + 60*v**2 + 84*v - 2. Give 6*a(d) + 7*h(d).
3*d**3 + 96*d - 2
Let v(n) = 25*n - 58*n + 2 + 5 + 28*n. Let k(j) = 14*j - 21. Let p(l) = l**3 + 21*l**2 + 21*l + 26. Let y be p(-20). What is y*k(z) + 17*v(z)?
-z - 7
Let u(y) = 2*y + 6 - 5*y + 6*y + y. Let f(k) = 4*k**2 - k. Let i be f(1). Let t(h) = -4 - 2 - 3*h + 1. Give i*t(d) + 2*u(d).
-d - 3
Let q(m) = -341*m**3 - 11*m**2 - 11*m - 5. Let x(k) = 68*k**3 + 2*k**2 + 2*k + 1. Let v be (3*-1)/(((-48)/(-80))/1) - -7. Calculate v*q(l) + 11*x(l).
66*l**3 + 1
Let x be (16/40*-5)/(4/6). Let p be (4 + 28/(-8))*-2. Let c(a) = -4*a**2 - 3*a - 5. Let w(t) = t**2 + t + 1. What is p*c(m) + x*w(m)?
m**2 + 2
Let n = 98 + -100. Let l be (25/n)/(-5)*(2 + 0). Let a(g) = l*g - 4 + g + 18 - 8. Let f(u) = -2*u - 2. Determine 5*a(p) + 16*f(p).
-2*p - 2
Let g(l) = 4*l - 3. Let z(n) = -3*n - 16. Let f be z(-7). Let y(u) = 106*u + 3 - 117*u + f. Let m(b) = 18*b + 39. Let j be m(-2). Give j*y(d) + 8*g(d).
-d
|
{
"pile_set_name": "DM Mathematics"
}
|
ositive.
i**(1972/105)
Simplify ((a/(a/a**11))/a**13)**29*((a/(a/(a/(a/a**(-1/2)))))/a)/a*a**(6/11)*a*(a/((a**(-1)/a)/a))/a*a**0 assuming a is positive.
a**(-1231/22)
Simplify (o/(o*o**4)*o**11*(o/o**(2/3)*o)/o**(3/2))**(-31/5) assuming o is positive.
o**(-1271/30)
Simplify ((j**1/j)/j**(-1/3))/(j**4*j**4)*j**(-2/3)/((((j*j**(4/9))/j)/j)/j*j)*(j**0)**(10/3) assuming j is positive.
j**(-70/9)
Simplify ((((a*a**(2/7)/a*a)**4)**(5/2))**18)**(-15) assuming a is positive.
a**(-24300/7)
Simplify (b**(2/7))**(-50)/(b**(2/3))**(-6)*(b**(2/5))**(2/21)*(b/(b/(((b/((b**7/b)/b*b*b))/b)/b)))/b**(-1/4) assuming b is positive.
b**(-7559/420)
Simplify ((h**(2/3))**(1/13))**(-5/17)*((h*h**1/h)/h)**19/(h*h**1/h*h**(-7)) assuming h is positive.
h**(3968/663)
Simplify ((q*q*q**(-4/7))**12*(q**(-24)*q*q)/((q/(q*q**11))/q))**(-18) assuming q is positive.
q**(-900/7)
Simplify (z**(-2)*z**(3/2)/z*(z*z/z**(2/3))**(-2/61))/(z**5*z/(z**3*z))**13 assuming z is positive.
z**(-10081/366)
Simplify (((l/(l*l**1*l*l*l))/l)**(-9/7)/((l**0*l)/l)**48)/(l**(1/4)*l**(-1/7)/l)**(-2/11) assuming l is positive.
l**(965/154)
Simplify (((n*(n*n/n**5)/n*n)/n**(-9)*(n/n**1)/n**(3/5))**(4/15))**(7/3) assuming n is positive.
n**(896/225)
Simplify ((m**(-1))**(2/45)/(m**(-2)*m)**(3/5))/((m*m**(-8)*m)/(m**(10/9)*m))**(3/14) assuming m is positive.
m**(289/126)
Simplify (q/(q*q*q/(q**3/q))*(q/(q*q**(2/17)/q*q*q))/q*q*q*q**(-4)*q/(q*q**(-5/6)))/((q*q/q**(-5))/q*q*q**4)**(1/16) assuming q is positive.
q**(-3241/816)
Simplify (((((m*m**(-1/3)/m)/m)/m)/m)/m)**(-23/5)/(m*m*m**(-2/5)*m)**(-4/11)*((m**(-1/3)/m)/((m*m**(-3)*m)/m))/(m**(-6)*m*m*m**(-2)*m) assuming m is positive.
m**(292/11)
Simplify (d**(-4)*d)/(d**(3/5)*d)*d**(-3/4)/(d*d*d**(-4/11))*((d**1)**(-1/29))**(-46) assuming d is positive.
d**(-34453/6380)
Simplify (z**1)**(1/48)/((z**(2/17)*z)/(z*z**(1/3)))*(z/(z/((z/(z/z**4*z))/z)*z)*z**(1/3))/(z**(-4/9)*z**(-2/29)) assuming z is positive.
z**(147895/70992)
Simplify (d**(1/7))**(-2/13)*d**(-2)*d/d**(-11) assuming d is positive.
d**(908/91)
Simplify (w**(2/5)*w*w**(2/11)*(w**(3/4)*w)/w**(-1/6))/((w/(w*w/(w**(-3/8)*w))*w**(1/7))/(w/(w*w**(-4))*w**(2/3))) assuming w is positive.
w**(77591/9240)
Simplify (v**34/v)**(-7/11)*(v*v/v**(-1/4))/((v*v/(v**(-2/37)/v))/v) assuming v is positive.
v**(-3079/148)
Simplify ((s**(-26)/(s**4*s*s))/(((s*s**13)/s)/(s/(s/(((s**(-9/10)/s)/s)/s)*s))))**31 assuming s is positive.
s**(-15469/10)
Simplify (((k/(k**(1/46)/k))**(-1/12))**(2/19))**(2/25) assuming k is positive.
k**(-91/65550)
Simplify ((y*y**(-3/4))**(-1/4))**(-4)*((y/y**(-3))**10)**(2/17) assuming y is positive.
y**(337/68)
Simplify ((((h*h**(1/3))/h)/h)**(-5/3)/((h**(1/3)*h*h)/h)**(-7))/((h**(-3))**(-20))**(-1/18) assuming h is positive.
h**(124/9)
Simplify ((z*z**(-4)*z)/(z/(z*z*(z**(-1/5)/z)/z))*(z**1*z)**(-3/10))/((z**(2/11)*z/(z**(2/3)/z)*z)/(z**0)**(24/5)) assuming z is positive.
z**(-1042/165)
Simplify (l**9)**(2/61)*l*(l**(-1/36)/l)/l*l**(-2/55) assuming l is positive.
l**(-92887/120780)
Simplify (((a**(6/5)*a**(-7))**(-22))**(-22/5))**19 assuming a is positive.
a**(-266684/25)
Simplify (((r**(1/2))**40*(r*r*r**(1/3))**1)**(-15))**(-30) assuming r is positive.
r**10050
Simplify ((m*m**1)/(m/((m*m**(-1/7))/m)*m))**(-2/23)*((m**(2/3)/m*m)/m)**42*(m**0*m)**(-2) assuming m is positive.
m**(-2574/161)
Simplify (w**(-2)*(w*w/(w*w**3*w))/w*w/(w**(2/9)*w)*w**(2/7))/(w**7*w/(w*w**6))**6 assuming w is positive.
w**(-752/63)
Simplify ((((r*r**(-5)*r*r)/r)/r)/(r*r*r**15)*(r**(2/9))**49)**(-3/4) assuming r is positive.
r**(91/12)
Simplify (i**4*i*i*i/(i/(i**(-5/2)/i)))/(i**(2/3))**(1/44)*(i*i**(2/7)*i**(-4))**46 assuming i is positive.
i**(-28268/231)
Simplify (k**(1/11)*k**17/k*(k*(((k/(k/(k/(k**(-3)/k))))/k)/k)/k*k)**(-33))**19 assuming k is positive.
k**(-24225/11)
Simplify (w**(-8)*w/((w**(-1/7)/w)/w))**(-26)/(((w**(3/2)*w)/((w*w**(3/5))/w))/((w*w*w**(1/2))/w**(-3))) assuming w is positive.
w**(4546/35)
Simplify ((b/(b**(1/2)*b))**10/(b/b**1*b)**8)/(b*b*(b**(3/11)*b*b)/b*b**7*b**(-1)/b**(6/11)) assuming b is positive.
b**(-239/11)
Simplify ((o**(-1/3)*o)**(-1/83))**(-46)*(o**(-2/3)*o)**(2/57)*o*o**(-1/10)*o*o**(1/7) assuming o is positive.
o**(2408299/993510)
Simplify ((s**(-1/8)/s*s)/s**(-1)*s**(-3)*s**2)/(((s**(2/5)*s)/s)**(-27)/(s**(-4/7)*s*s**(1/5))) assuming s is positive.
s**(633/56)
Simplify (((h/h**(-2/25)*h*h)/h)**1*((h*h**(2/7)*h)/h)/((h**(-17/2)/h)/h))**41 assuming h is positive.
h**(198973/350)
Simplify (y**(-2/25)/y*(y/y**(-1/4)*y)/y)**50/((y*y**0)**(1/3)/(y/(y/y**1))**(26/7)) assuming y is positive.
y**(499/42)
Simplify ((t/t**(-6/11))**21*(t/(t/(t/(t**2*t))))/t*t*t**18*t)**(4/5) assuming t is positive.
t**(2176/55)
Simplify (a*a**(2/9))**(-4/9)/((a**1*a)/a)**(-23)*(a/(a**2/a))**48/(a**(-2/3)*a*a**(-6)) assuming a is positive.
a**(2278/81)
Simplify (r*r**(-1/41))**(-42/13)*(r/((r**25/r)/r))**(-3/17) assuming r is positive.
r**(6618/9061)
Simplify ((b*b*b**(1/3))/(b**4*b))**(-1/6)*(b/b**(-4/7)*b)/(b*b*b**(-1)*b*b)*b**1/b*b**(-3) assuming b is positive.
b**(-188/63)
Simplify (((r/(r**7*r))/r*r)**(-1/34)/(r**(-19/4)/r**(25/6)))**41 assuming r is positive.
r**(76301/204)
Simplify s/(s/((s/s**(-11))/s*s)*s)*s*s*s/(s*s**(2/125))*s*s*s*s**(-2/21)*s**(2/13)/s assuming s is positive.
s**(513329/34125)
Simplify ((m**(3/2)/m)/(m/m**(-15))*m/(m/(m*m/m**13*m))*(m*m**(10/3))/m)**(1/18) assuming m is positive.
m**(-133/108)
Simplify (o*o*(o/o**0)/o*o)/(((o/(o**3*o))/o)/o)*(o*o*o**(-6))/o*o/o**(-3)*o**(-2/9)*o*o*o/(o*o**(-7)/o)*o/((o*o**(-1/2)/o)/o)*o**(5/4) assuming o is positive.
o**(739/36)
Simplify (c**5*c*c*c/c**(-3/2))/((c*c**(-5/2)*c)/(c**(1/4)/c))*(c*c**(-1))**9/(c/c**(-2)*c**(3/10)) assuming c is positive.
c**(119/20)
Simplify ((k**(-4))**44/(k*k/((k*(k/(k**(9/4)*k))/k)/k*k)*k**(-3/4)))**(-4/29) assuming k is positive.
k**(718/29)
Simplify (((f**(-2/19)/(f**(-1/3)*f))/(f/(f**(1/2)/f))**(2/13))**16)**(-24) assuming f is positive.
f**(95104/247)
Simplify (((c/c**1)**31*(c**(-2/5))**50)**(-21/5))**(-2/71) assuming c is positive.
c**(-168/71)
Simplify ((m*m**(-37)*m)/(((m**(10/3)/m)/m)/m)*(m**(20/3)*m*m*m)/m**17)**(-20) assuming m is positive.
m**(2560/3)
Simplify (((m*(m**(1/3)/m*m)/m)/m)**(-13))**32/((m**6/m)/m**(-4/9)*m**7/m*m*m*m*m**(-7)) assuming m is positive.
m**(2429/9)
Simplify ((q**(-1))**(-2/79)*(((q**1/q)/q)/q)**50)/(((q*(q*q*q**(2/9))/q)/q*q**(-3/5))/(q/q**(-1/8)*q**(-5)*q)) assuming q is positive.
q**(-2942741/28440)
Simplify ((f**(-3/10)*f*f/f**(1/2))/(f**(-9/2)/(f**(-5/4)*f)))**24 assuming f is positive.
f**(654/5)
Simplify ((a*(a**7/a)/a*a)**(-2/43)/((a*a**(-18))/a**(-1/3)))**(21/8) assuming a is positive.
a**(3689/86)
Simplify ((x**3/x*x**5/x)/(x/x**(-2/3)*x)**(7/2))/(x*x*x/(x**(-1/2)/x)*x*x*x/((x**(-3)/x)/x))**(-7) assuming x is positive.
x**(505/6)
Simplify ((z/z**(1/2))**(2/121))**(3/13)/(z**(-5/4)/(z/z**(3/2)*z*z))**14 assuming z is positive.
z**(121127/3146)
Simplify (d**(2/5)*d*((d*d*d**(1/5)*d)/d)/d)/(d**1)**5*(d*d**(-3/2)*d*d)/(d/(d**(-2)/d))*(d/((d/d**(2/7))/d))/d*d*d/(d**(-6)*d) assuming d is positive.
d**(167/70)
Simplify (j/((((j*j**16)/j)/j)/j)*(j*j*j*(j**(-1/2)*j)/j*j)/j)/(j**14)**(-37) assuming j is positive.
j**(1015/2)
Simplify (((p*p**(-8)/p*p)**(-18))**10)**(-8/3) assuming p is positive.
p**(-3360)
Simplify ((i/(i/(i**2/i*i)))/i*i*((i*i**(-1/3))/i)/i)**(2/23)*((i*i**(2/7)*i*i)/i)**(-28)*(i*i**(-1/7)/i)/(i*i**(1/3)) assuming i is positive.
i**(-31597/483)
Simplify (t**(-2/9)/t**0)**(-11)*(t**(-1))**(-35)*(t**(-1))**(7/3) assuming t is positive.
t**(316/9)
Simplify (f**(-8)*f*f**(1/8)/f)**(-1/2)*(f*f**(-2))**(-33)/((f/(f/f**2)*f)/(f**(4/7)*f*f)) assuming f is positive.
f**(4089/112)
Simplify (((o/(o/(o*o**(-7)*o*o)))/o)/o)/o*o*o/(o*o**(-1/2))*o**(8/7)*o/o**(-8)*(o**(-2/3)*o)/o**8*((o*o*o**(-8))/o)/o**(3/11) assuming o is positive.
o**(-4757/462)
Simplify u**(-5)/u*u**(-12)*(u**(-26)*u)**(-12) assuming u is positive.
u**282
Simplify ((o**(-2/43)/(o/((o**(-7)*o)/o)*o))/(o**(-3)*o*o**(-2/3)))**(-6/23) assuming o is positive.
o**(1646/989)
Simplify (j**(-1/7)/(j**(-2/31)/j*j)*(j**(-23)/j*j)**(1/18))**(6/5) assuming j is positive.
j**(-5297/3255)
Simplify (o**0*o**(2/17)*o**(-1/2)*o**6*o)/(o**(-4/7)*o**(3/2)*(o/o**(-1/5))/(o*o**(-6))) assuming o is positive.
o**(-30
|
{
"pile_set_name": "DM Mathematics"
}
|
the power of 1/3, to the nearest integer?
9
What is the tenth root of 74614 to the nearest integer?
3
What is the fifth root of 627 to the nearest integer?
4
What is the third root of 313 to the nearest integer?
7
What is the square root of 64 to the nearest integer?
8
What is the tenth root of 2436 to the nearest integer?
2
What is 20249 to the power of 1/6, to the nearest integer?
5
What is the cube root of 2952 to the nearest integer?
14
What is the cube root of 11820 to the nearest integer?
23
What is the fifth root of 10235 to the nearest integer?
6
What is the square root of 112054 to the nearest integer?
335
What is the square root of 11199 to the nearest integer?
106
What is 17351 to the power of 1/2, to the nearest integer?
132
What is 509 to the power of 1/7, to the nearest integer?
2
What is the square root of 6620 to the nearest integer?
81
What is the sixth root of 39563 to the nearest integer?
6
What is 34972 to the power of 1/7, to the nearest integer?
4
What is the square root of 34950 to the nearest integer?
187
What is the cube root of 23305 to the nearest integer?
29
What is the cube root of 193 to the nearest integer?
6
What is the eighth root of 11203 to the nearest integer?
3
What is the cube root of 11558 to the nearest integer?
23
What is 149198 to the power of 1/7, to the nearest integer?
5
What is the square root of 17589 to the nearest integer?
133
What is the third root of 878 to the nearest integer?
10
What is 2149 to the power of 1/3, to the nearest integer?
13
What is 554 to the power of 1/2, to the nearest integer?
24
What is the square root of 3731 to the nearest integer?
61
What is the third root of 2014 to the nearest integer?
13
What is the square root of 875 to the nearest integer?
30
What is 15599 to the power of 1/2, to the nearest integer?
125
What is the third root of 26437 to the nearest integer?
30
What is the fifth root of 8673 to the nearest integer?
6
What is 278 to the power of 1/2, to the nearest integer?
17
What is the square root of 5797 to the nearest integer?
76
What is the square root of 6727 to the nearest integer?
82
What is the fourth root of 268 to the nearest integer?
4
What is the fifth root of 2098 to the nearest integer?
5
What is 51763 to the power of 1/2, to the nearest integer?
228
What is the seventh root of 4221 to the nearest integer?
3
What is the cube root of 712 to the nearest integer?
9
What is the ninth root of 865 to the nearest integer?
2
What is 17269 to the power of 1/9, to the nearest integer?
3
What is 57182 to the power of 1/3, to the nearest integer?
39
What is the tenth root of 10041 to the nearest integer?
3
What is the third root of 10248 to the nearest integer?
22
What is 422 to the power of 1/10, to the nearest integer?
2
What is 1721 to the power of 1/2, to the nearest integer?
41
What is 593 to the power of 1/2, to the nearest integer?
24
What is 680 to the power of 1/9, to the nearest integer?
2
What is the tenth root of 19902 to the nearest integer?
3
What is 6893 to the power of 1/8, to the nearest integer?
3
What is the seventh root of 51881 to the nearest integer?
5
What is the fifth root of 3457 to the nearest integer?
5
What is the square root of 28918 to the nearest integer?
170
What is the square root of 9583 to the nearest integer?
98
What is the fourth root of 31100 to the nearest integer?
13
What is 161528 to the power of 1/10, to the nearest integer?
3
What is 18654 to the power of 1/3, to the nearest integer?
27
What is the square root of 723 to the nearest integer?
27
What is the cube root of 5236 to the nearest integer?
17
What is the third root of 76927 to the nearest integer?
43
What is the tenth root of 12596 to the nearest integer?
3
What is the cube root of 3487 to the nearest integer?
15
What is 4422 to the power of 1/3, to the nearest integer?
16
What is the sixth root of 33997 to the nearest integer?
6
What is the square root of 2321 to the nearest integer?
48
What is 4322 to the power of 1/6, to the nearest integer?
4
What is the third root of 32739 to the nearest integer?
32
What is 4045 to the power of 1/5, to the nearest integer?
5
What is 27313 to the power of 1/3, to the nearest integer?
30
What is the third root of 57741 to the nearest integer?
39
What is 2027 to the power of 1/4, to the nearest integer?
7
What is the third root of 15697 to the nearest integer?
25
What is 68253 to the power of 1/2, to the nearest integer?
261
What is 61133 to the power of 1/2, to the nearest integer?
247
What is 123418 to the power of 1/4, to the nearest integer?
19
What is the cube root of 12830 to the nearest integer?
23
What is 2254 to the power of 1/3, to the nearest integer?
13
What is 22941 to the power of 1/2, to the nearest integer?
151
What is the eighth root of 154823 to the nearest integer?
4
What is the third root of 514 to the nearest integer?
8
What is the third root of 41 to the nearest integer?
3
What is the fifth root of 3474 to the nearest integer?
5
What is 7932 to the power of 1/8, to the nearest integer?
3
What is 1263 to the power of 1/2, to the nearest integer?
36
What is the third root of 6538 to the nearest integer?
19
What is the square root of 28650 to the nearest integer?
169
What is the cube root of 1777 to the nearest integer?
12
What is the cube root of 1742 to the nearest integer?
12
What is 873 to the power of 1/10, to the nearest integer?
2
What is the seventh root of 2195 to the nearest integer?
3
What is the square root of 86542 to the nearest integer?
294
What is the eighth root of 32026 to the nearest integer?
4
What is 11458 to the power of 1/2, to the nearest integer?
107
What is the third root of 4236 to the nearest integer?
16
What is 1006 to the power of 1/4, to the nearest integer?
6
What is the third root of 10451 to the nearest integer?
22
What is 93945 to the power of 1/2, to the nearest integer?
307
What is the tenth root of 1550 to the nearest integer?
2
What is the square root of 262 to the nearest integer?
16
What is 965 to the power of 1/10, to the nearest integer?
2
What is 808 to the power of 1/2, to the nearest integer?
28
What is 12229 to the power of 1/2, to the nearest integer?
111
What is the fourth root of 515 to the nearest integer?
5
What is 13472 to the power of 1/10, to the nearest integer?
3
What is 22896 to the power of 1/4, to the nearest integer?
12
What is 249 to the power of 1/6, to the nearest integer?
3
What is the cube root of 17094 to the nearest integer?
26
What is the third root of 1271 to the nearest integer?
11
What is the cube root of 8024 to the nearest integer?
20
What is 61880 to the power of 1/3, to the nearest integer?
40
What is 754 to the power of 1/2, to the nearest integer?
27
What is the square root of 230 to the nearest integer?
15
What is 5831 to the power of 1/2, to the nearest integer?
76
What is the square root of 3103 to the nearest integer?
56
What is the square root of 9168 to the nearest integer?
96
What is the eighth root of 3388 to the nearest integer?
3
What is the square root of 285 to the nearest integer?
17
What is 110 to the power of 1/3, to the nearest integer?
5
What is the square root of 1929 to the nearest integer?
44
What is 2128 to the power of 1/4, to the nearest integer?
7
What is 49673 to the power of 1/3, to the nearest integer?
37
What is 7812 to the power of 1/5, to the nearest integer?
6
What is 609 to the power of 1/3, to the nearest integer?
8
What is 92734 to the power of 1/10, to the nearest integer?
3
What is the third root of 579 to the nearest integer?
8
What is 20489 to the power of 1/2, to the nearest integer?
143
What is the square root of 14319 to the nearest integer?
120
What is the cube root of 13172 to the nearest integer?
24
What is the seventh root of 3360 to the nearest integer?
3
What is 1956 to the power of 1/4, to the nearest integer?
7
What is the cube root of 247 to the nearest integer?
6
What is the square root of 246 to the nearest integer?
16
What is the square root of 189 to the nearest integer?
14
What is the third root of 13612 to the nearest integer?
24
What is the cube root of 2362 to the nearest integer?
13
What is the square root of 80443 to the nearest integer?
284
What is the fifth root of
|
{
"pile_set_name": "DM Mathematics"
}
|
g?
1
Suppose -219*h = -243*h + 78024. What is the units digit of h?
1
Let w(v) = -18*v**2 + 4*v + 64*v**2 + 54 - 34*v**2 + v. What is the units digit of w(-5)?
9
Let q = 56 - 52. Suppose 17*g = q*g - 52. What is the units digit of (-3 + (-1085)/15)/(g/6)?
3
Let i be -1*(3/9)/((-4)/2652). Suppose 0 = -5*x - 20 - 0, 2*x = 3*c + 463. Let d = i + c. What is the units digit of d?
4
Suppose 2427*i = 2419*i + 9448. What is the units digit of i?
1
Let x = 21212 + -11624. What is the tens digit of x?
8
Let v(l) = -17*l + 244. Let g be ((-1)/(-3))/(60/(-4680)). What is the units digit of v(g)?
6
Let f(i) = 27*i**3 + 29*i**2 + 55*i + 37. Let s(p) = 14*p**3 + 14*p**2 + 26*p + 18. Let k(g) = 6*f(g) - 13*s(g). What is the thousands digit of k(-4)?
1
Let u(n) = -n**3 - 11*n**2 - 7*n - 4. Suppose 6*k + 32 - 92 = 0. Suppose 0 = -v - 4*r + 5, -2*v = 3*r - 0*r + k. What is the units digit of u(v)?
3
Let f(h) = -2493*h + 4439. What is the tens digit of f(-6)?
9
Let j(f) = 424*f - 769. What is the units digit of j(19)?
7
Let b(h) = -84*h - 502. What is the tens digit of b(-13)?
9
Let r(w) = -w**3 + 7*w**2 - 10*w + 12. Let d be r(5). Let z be (-6 + 104/d)*(-45)/(-4). What is the tens digit of -35*(z/(-35) - 0)?
3
Let w = 100 - 8. Let d = 341 - w. Suppose h = 8*y - 4*y + d, 0 = 4*y. What is the hundreds digit of h?
2
Let f be 6/(-9)*3 + 79. Suppose 6*d + 600 = 18*d. Let n = f - d. What is the units digit of n?
7
Suppose -11*o - 459 = -63. What is the tens digit of o/15*(-52 + -5 + 7)?
2
Let l = 208 - 198. Suppose 5*q + l*j = 5*j + 1280, q - 265 = -4*j. What is the hundreds digit of q?
2
Suppose -6915893 = -212*i + 628127. What is the tens digit of i?
8
Let r(l) = -l**3 + 5*l**2 - 4*l - 1. Let j be r(3). Suppose -6 = -i - j. What is the units digit of ((-387)/(-18))/(i/2)?
3
Suppose 2*m - 57*m - 330 = 0. What is the hundreds digit of (-32)/m + -5 - 1244/(-12)?
1
Let w = 313 + -308. Suppose -w*d + 3993 = 2*x, 4*d - 8 = -12. What is the units digit of x?
9
Let d = 83 + -68. Let h(g) = 72*g - 126. What is the tens digit of h(d)?
5
Let q be (63/18 + -2)/((-3)/(-6)). What is the units digit of 1001 + q/((-15)/(-20))?
5
Let u = 4309 - 3518. What is the hundreds digit of u?
7
Let c(w) = -w. Let t(h) = 11*h - 2. Let r(a) = 2*c(a) + t(a). Let n be r(2). What is the units digit of (13 - n)*(-22 + -1)?
9
Let c = -149 - -152. Suppose -2*t + l + 2331 = -0*l, -2*l = c*t - 3514. What is the tens digit of t?
6
Suppose 4*r - 591 - 949 = 0. Let u = -36 + 39. Suppose u*o - i - r = 0, 3*o - 199 = -2*i + 183. What is the units digit of o?
8
Suppose 17*z - 11*z = 0. Suppose z = 2*m + m. What is the units digit of (2 - -158) + 1/2*m?
0
What is the thousands digit of 18/8*952/(-357) - -60565?
0
Let h be 11/4 + (-21)/(-84). Suppose -756 = -w - 2*s + 43, -s = h*w - 2402. What is the hundreds digit of w?
8
Suppose 4*l = -14*l - 4518. Let i = 524 + l. What is the tens digit of i?
7
Suppose 13*k - 11711 = 6*k. Suppose -11*f = -18*f + k. What is the tens digit of f?
3
Let u(f) = 31*f**2 - 36*f + 10. Let h(w) = -6*w**2 + 7*w - 2. Let b(s) = -11*h(s) - 2*u(s). Let i = -457 + 460. What is the tens digit of b(i)?
2
Suppose 5*a + 4*l - 311095 = 0, 5*a + 1065*l - 1067*l = 311065. What is the ten thousands digit of a?
6
What is the thousands digit of (-2*21/(-2))/((15/(-3))/(-695))?
2
Let h be 407/99 + 3/(-27). Suppose -5*j = -5*x - 10, -3*j - 4*x + h = -30. What is the units digit of j?
6
Let m be 1*-4*1 + (1 - -3). Suppose -9*s + 3201 + 273 = m. What is the units digit of s?
6
Let i(u) be the first derivative of 4*u + 3/2*u**2 + 30*u**3 + 1. What is the tens digit of i(-1)?
9
Let z(y) = -1490*y**3 + 2*y**2 + 3*y + 1. Suppose 5*j = -k + 19, 3*k = j + 3 - 10. What is the thousands digit of z(k)?
1
Suppose -15*x = -985354 - 55136. What is the hundreds digit of x?
3
Suppose -3*b + 20 = 2*b. Suppose 4*f - 312 = -4*f. Let r = f - b. What is the tens digit of r?
3
Suppose -111 = -20*c + 69. What is the thousands digit of (33/c + -3 + 69)*15?
1
Let g = -325 - -309. What is the units digit of (-19026)/(-24) - 4/g?
3
Let c be ((-4)/6)/(6/621). Let v = -42 - c. What is the tens digit of v?
2
Let f be 463*(0 + -4 - -3). Let p = f + 178. Let g = p + 414. What is the units digit of g?
9
Suppose 0 = 5*h, 7*h - 100 = 4*t + 2*h. Let y = t + 169. What is the tens digit of y?
4
Suppose 9453 = 2*z + 7*w - 10*w, -2*w + 9478 = 2*z. Suppose 31*o = z + 6581. What is the hundreds digit of o?
3
Let d(w) = w**2 - 17*w + 5. Let o = 120 - -60. Suppose -8*z = -o + 44. What is the units digit of d(z)?
5
Let g(l) = l**2 + l - 2. Let b be g(-2). Suppose -4*t = -b - 196. Let h = t - 20. What is the units digit of h?
9
What is the ten thousands digit of -3 + (-706494)/(-54) - 16/72?
1
Suppose 2*i + 161 = -c, 87 - 326 = 3*i + 2*c. Let y = 340 - 203. Let a = i + y. What is the tens digit of a?
5
Suppose p - 3*p = 3*p. Let a(r) = -r + 314. What is the hundreds digit of a(p)?
3
Let r(i) = 1226*i + 65. What is the hundreds digit of r(7)?
6
Let n(u) = -64 + 18 + 227 - 7*u. What is the units digit of n(9)?
8
Let i = 3 - -74. Suppose -503 = -10*v + i. Let a = -20 + v. What is the tens digit of a?
3
Let s = -523 - -8769. What is the units digit of s?
6
Let c(x) = 180*x**2 - 598*x - 11947. What is the units digit of c(-21)?
1
Let d(i) = -27*i - 2. Suppose -4*q + 3*q = -3*q. Suppose -19 = 4*t + h - 8, -3*h + 15 = q. What is the units digit of d(t)?
6
Suppose -963*y = -956*y + 7000. Let r(j) = j**2 - 7*j - 2. Let p be r(9). What is the tens digit of (-2)/((p/y)/((-2)/(-10)))?
2
Let a = 411 - 124. Let f = a - 56. What is the units digit of f?
1
Let b = 116983 - 71578. What is the ten thousands digit of b?
4
Suppose 4*n - 195928 = -2*c, 0 = 7*n - 2*n + 2*c - 244907. What is the thousands digit of n?
8
Suppose -3*z = 10*z - 7670. Suppose 5*c + 15 = 0, -3*c = 4*w - z - 497. What is the units digit of w?
4
Suppose 1400 = 4*u - 4*t, -8*t = -3*t - 25. Let j = u + -233. What is the tens digit of j?
2
Let o(i) = -124*i + 1175. What is the ten thousands digit of o(-80)?
1
Suppose 65*i - 59*i = -42. What is the hundreds digit of 35856/22 - i/(308/8)?
6
Let f = -248 - -268. Suppose 0 = -2*w - 3*w - f, 4*i = -2*w + 1508. What is the units digit of i?
9
Suppose 34*s - 14628 = 33*s - 5*z, -14596 = -s + 3*z. What is the ten thousands digit of s?
1
Let y(k) = 2*k**3 + 12*k**2 + k + 3. Let r be y(-6). What is the tens digit of 2/(r*1/(-324))?
1
Let r = 119432 + -57734. What is the hundreds digit of r?
6
Suppose 4*t - c = 155337, 177*c - 172*c + 77673 = 2*t. What is the ten thousands digit of t?
3
Let b(o) = -2164*o**3 + 3*o**2 + 4*o - 2. What is the hundreds digit of b(-1)?
1
Suppose 66540 = 834*w - 828*w. What is the hundreds digit of 7/(-4 - w/(-2770))?
9
Suppose -2*c + 0*c = 2*k, -2*k = 4*c. Suppose -g + 3*r + k*r - 9 = 0, -g + 5*r = 15. What is the hundreds digit of (127 - (-4 + g)) + -3*1?
1
Let v(q) = -52*q**3 - 16*q**2 - 25*q - 130. What is the hundreds digit of v(-8)?
6
Suppose 1625572 = 13*l + 42*l - 3*l. What is the tens digit of l?
6
What is the units digit of (-26398)/(-4) - (-8 + (-195)/(-26))?
0
Suppose s + 1781 = -3*r + 6112, -8629 = -2*s + 5*r. What is the units digit of s?
2
Suppose -5 - 17 = -22*l. What is the units digit of ((-1)/l)/(((-12)/1396)/3)?
9
Suppose 62211 = 54*s - 39741. What is the tens digit of s?
8
Let s(k) = -k**2 + 41*k - 127. Let u be (21/16*4)/(9/24). What is the units digit of s(u)?
1
Suppose 7 = -3*f + 16. Suppose -v - 2*a + 40 = 0, -f*v - a + 160 = -3*a. What is the tens digit of v?
5
Suppose 9*n - 210 = -n. Suppose 80 = 3*k + k. Suppose -100 = k*v - n*v. What is the hundreds digit of v?
1
Suppose -4*r + 33264 = 4*l, 0*l + 2*l = -5*r + 41592. What is the hundreds digit of r?
3
Suppose 5228380 = 58*t + 1308972. What is the ten thousands digit of t?
6
Let j(h) = 12*h**2 + 15*h - 7. Let d = -74 - -82. What is the units digit of j(d)?
1
Let l be (80/(-24))/((-1)/33270). Suppose -5*s - l = 5*s. What is the units digit of s/(-70) + ((-27)/(-21))/(-3)?
8
Let g(b) = -b**3 - 2*b**2 + b - 1. Let c be g(-3). Let n be ((-26)/4 + 0)/((-1)/138). Suppose -c*q + n = 132. What is the units digit of q?
3
Let z(y) = -30*y + 12. Let o = -160 - -154. What is the hundreds digit of z(o)?
1
Let t = -796 - -800. What is the units digit of (t/(-
|
{
"pile_set_name": "DM Mathematics"
}
|
-10
Sort -2, 3, -5, -105, 12 in increasing order.
-105, -5, -2, 3, 12
Sort -4, 20, 0 in decreasing order.
20, 0, -4
Put 5, 9, 8, 0 in ascending order.
0, 5, 8, 9
Put 19.5, -2/3, -3 in increasing order.
-3, -2/3, 19.5
Put 0, -5, 10, 1, -1 in descending order.
10, 1, 0, -1, -5
Sort 2, -47, -12 in ascending order.
-47, -12, 2
Sort 3, 5, -38 in increasing order.
-38, 3, 5
Sort -2, 36, 1.
-2, 1, 36
Sort 2, 3, -4, -11058.
-11058, -4, 2, 3
Put -0.12, -1, -2 in ascending order.
-2, -1, -0.12
Put 85, 0.3, -1 in descending order.
85, 0.3, -1
Put 1, -1/3, -8/7, 0 in ascending order.
-8/7, -1/3, 0, 1
Put -98, 3, -4 in ascending order.
-98, -4, 3
Sort 2/13, 10/37, 0.2, -5 in descending order.
10/37, 0.2, 2/13, -5
Sort 2, 0.2, 31/2 in ascending order.
0.2, 2, 31/2
Put -5, 13, 5, 3, -2 in descending order.
13, 5, 3, -2, -5
Sort -2/23, -3/4, -2, -1 in increasing order.
-2, -1, -3/4, -2/23
Put 0.5, 0.3, 1/4, 3 in descending order.
3, 0.5, 0.3, 1/4
Sort 0, -5, -2 in descending order.
0, -2, -5
Sort -28, -1, -2, -3, 3 in ascending order.
-28, -3, -2, -1, 3
Sort 107, -2, 3 in increasing order.
-2, 3, 107
Put 5, 0.4, -11, 2 in increasing order.
-11, 0.4, 2, 5
Sort -0.0264, 3, 0.3 in increasing order.
-0.0264, 0.3, 3
Put -2, 4/19, 1, 2, 4 in ascending order.
-2, 4/19, 1, 2, 4
Sort 14, 1, 0 in ascending order.
0, 1, 14
Sort -2, 1990, 4.
-2, 4, 1990
Sort 1/2, -1/7, 2/9, -0.4, -17 in ascending order.
-17, -0.4, -1/7, 2/9, 1/2
Sort 4, 1/23, -0.3, -0.2 in increasing order.
-0.3, -0.2, 1/23, 4
Sort 13, 6, 3, 4, -3 in decreasing order.
13, 6, 4, 3, -3
Sort -2, 4, -5, 13, -4 in descending order.
13, 4, -2, -4, -5
Sort 5, 1, 19.
1, 5, 19
Sort -2, -10, -31 in increasing order.
-31, -10, -2
Sort -5, -22.6, 4, -0.1 in ascending order.
-22.6, -5, -0.1, 4
Sort 2, 1, 5.
1, 2, 5
Put -554, 0.9, 5 in increasing order.
-554, 0.9, 5
Sort 190, -1, -48 in descending order.
190, -1, -48
Put -1, 2, 6, -35 in decreasing order.
6, 2, -1, -35
Put -18, -25, 2, -2/7 in decreasing order.
2, -2/7, -18, -25
Put 2, 1, -7/25 in descending order.
2, 1, -7/25
Sort 4, -1, -2, 26 in decreasing order.
26, 4, -1, -2
Put 7, 631, 5 in increasing order.
5, 7, 631
Sort -1, 1/6, -3/8, 0.3 in descending order.
0.3, 1/6, -3/8, -1
Sort 1, 4/5, 44, 0 in ascending order.
0, 4/5, 1, 44
Sort -2, 0, 7 in decreasing order.
7, 0, -2
Sort 0, -3, -2, -32 in descending order.
0, -2, -3, -32
Sort -19, 0, -0.04 in descending order.
0, -0.04, -19
Put -2, -5, -31 in decreasing order.
-2, -5, -31
Sort -5, 0, 1, -9, -7 in decreasing order.
1, 0, -5, -7, -9
Put 4, 1379, 2 in ascending order.
2, 4, 1379
Sort -2/17, 5, 409 in increasing order.
-2/17, 5, 409
Sort -3, -7, 5, 0 in ascending order.
-7, -3, 0, 5
Sort -3, -4, 2, -130 in decreasing order.
2, -3, -4, -130
Put 3, -4, 50, 1, 5 in decreasing order.
50, 5, 3, 1, -4
Sort 67, -68, 0 in decreasing order.
67, 0, -68
Sort 5, 0, -2272 in descending order.
5, 0, -2272
Put -0.14, -0.4, -4, 1/9, 2/3 in descending order.
2/3, 1/9, -0.14, -0.4, -4
Sort 4, 3, -16 in descending order.
4, 3, -16
Sort 3, -2/13, 14.
-2/13, 3, 14
Sort 2, -371, -6 in decreasing order.
2, -6, -371
Put -3/7, -0.5, 11 in increasing order.
-0.5, -3/7, 11
Sort 1841, -3, -2, -5 in ascending order.
-5, -3, -2, 1841
Sort -2/159, -3/4, -2, 0.4.
-2, -3/4, -2/159, 0.4
Put 132, 4, -4, -1, 5 in descending order.
132, 5, 4, -1, -4
Put 5.7, 1/56, -0.4 in descending order.
5.7, 1/56, -0.4
Sort 5, 0, 6, -0.4 in ascending order.
-0.4, 0, 5, 6
Sort 4, 2, 13 in ascending order.
2, 4, 13
Sort -3, -2/11, -17.6 in descending order.
-2/11, -3, -17.6
Sort -15, -12, 4, -4 in descending order.
4, -4, -12, -15
Sort -0.8, -0.09, -0.3 in ascending order.
-0.8, -0.3, -0.09
Sort 0.4, 0.04, -4/9, 0.8.
-4/9, 0.04, 0.4, 0.8
Sort 1/4, 0.1, -2, 5, 11 in decreasing order.
11, 5, 1/4, 0.1, -2
Sort -38, 0, -5, -3 in descending order.
0, -3, -5, -38
Put 1, -71, 0 in ascending order.
-71, 0, 1
Put 5, -2, 4 in decreasing order.
5, 4, -2
Put 102, 30, -4 in decreasing order.
102, 30, -4
Put -0.204, 4, -4/3 in descending order.
4, -0.204, -4/3
Sort -4, -1/2, -2, 0.16, 0.1 in descending order.
0.16, 0.1, -1/2, -2, -4
Put 4, -20, -5 in increasing order.
-20, -5, 4
Put 54, -4, -1, -5 in ascending order.
-5, -4, -1, 54
Put 3/5, -37, -4, 1/5 in descending order.
3/5, 1/5, -4, -37
Sort 1, -4, 4, -189 in decreasing order.
4, 1, -4, -189
Put 1, -1, 3, -5 in decreasing order.
3, 1, -1, -5
Put -4, 30, 0, -1 in descending order.
30, 0, -1, -4
Put -0.1, 27, -1/8 in descending order.
27, -0.1, -1/8
Put -7, -4, -5, -1, 0 in descending order.
0, -1, -4, -5, -7
Sort 1, 5, 4.
1, 4, 5
Put 0.178, -5, 0, -0.5 in ascending order.
-5, -0.5, 0, 0.178
Sort 3/4, 3, 3/5, 0 in increasing order.
0, 3/5, 3/4, 3
Sort -5, 2, -0.5 in descending order.
2, -0.5, -5
Sort -157, 4, 1, -2.
-157, -2, 1, 4
Sort 98, 2, 4.
2, 4, 98
Sort 3, -509, 0 in descending order.
3, 0, -509
Sort -8, -4, -5 in descending order.
-4, -5, -8
Sort 103, -4, -1, 3, 2 in increasing order.
-4, -1, 2, 3, 103
Put -0.17, 3/4, -2/5, -2 in ascending order.
-2, -2/5, -0.17, 3/4
Put 1, 984, -2/5 in descending order.
984, 1, -2/5
Sort 1/9, 1, -386 in increasing order.
-386, 1/9, 1
Put 4, 1, 0, -1.6 in ascending order.
-1.6, 0, 1, 4
Sort -0.5, -3, 17, 0.3.
-3, -0.5, 0.3, 17
Sort -1, 4, 3, 5 in increasing order.
-1, 3, 4, 5
Put -2, -0.2, -2/69, -5 in increasing order.
-5, -2, -0.2, -2/69
Sort 0.2, -19/5, 0.3 in increasing order.
-19/5, 0.2, 0.3
Sort -0.4, 4, 131, -3 in ascending order.
-3, -0.4, 4, 131
Sort 19, -0.1, 3, 6 in ascending order.
-0.1, 3, 6, 19
Put 40, -6, 1 in increasing order.
-6, 1, 40
Sort 0.0056, -1/5, -0.4, -0.3 in descending order.
0.0056, -1/5, -0.3, -0.4
Put -11, 0.5, -3, 0, -1 in descending order.
0.5, 0, -1, -3, -11
Sort -3, -0.3, -4.5, -1 in decreasing order.
-0.3, -1, -3, -4.5
Sort 3, 2, 4, -8 in descending order.
4, 3, 2, -8
Sort -0.08, 0.01, 1, 1/2.
-0.08, 0.01, 1/2, 1
Put -5, 95, 3, 1/5, -0.5 in ascending order.
-5, -0.5, 1/5, 3, 95
Sort -7/6, -87, 1, -0.5 in increasing order.
-87, -7/6, -0.5, 1
Put 1/6, 1/2, 0.11 in descending order.
1/2, 1/6, 0.11
Put -6, -40, 3 in descending order.
3, -6, -40
Put 6, -10, 1 in increasing order.
-10, 1, 6
Sort -2/57, -2/3, -4/3 in ascending order.
-4/3, -2/3, -2/57
Sort -5, -8, -4 in decreasing order.
-4, -5, -8
Sort 4, -46, -2 in descending order.
4, -2, -46
Put -1, 14, 0, 4 in ascending order.
-1, 0, 4, 14
Sort -1, -21, -3, 0 in ascending order.
-21, -3, -1, 0
Sort -1/12, -2, 8/9 in decreasing order.
8/9, -1/12, -2
Sort 4, 3, -2, 5, -107.
-107, -2, 3, 4, 5
Put 54, 9, 1, 0 in descending order.
54, 9, 1, 0
Sort 3, -1, 52, 6, 0 in decreasing order.
52, 6, 3, 0, -1
Put -4, 2, 33, 5 in ascending order.
-4, 2, 5, 33
Sort 11, 3, 25, 5.
3, 5, 11, 25
Sort -4, -2/5, -216, -5, 4 in descending order.
4, -2/5, -4, -5, -216
Sort 9, 1/2, -0.4 in ascending order.
-0.4, 1/2, 9
Sort 2, 0.37, -7 in decreasing order.
2, 0.37, -7
Put -3, -15, -5, -31 in decreasing order.
-3, -5, -15, -31
Sort 147, -2, -3 in descending order.
147, -2, -3
Sort -0.2, 0.1, -136 in decreasing order.
0.1, -0.2, -136
Sort -5, 2, -74, 3, -8 in descending order.
3, 2, -5, -8, -74
Put -14, 1, 4, -59, 3 in increasing order.
-59, -14, 1, 3, 4
Put -5, -54, 0.5, 1, 2/23 in descending order.
1, 0.5, 2/23, -5, -54
Sort 33, -5, 5, -7 in descending order.
33, 5, -5, -7
Put 301, -1, -4 in ascending order.
-4, -1, 301
Sort -3, 2, -142, 4.
-142, -3, 2, 4
Sort 231, -1, 2.
-1, 2, 231
Sort 2/7, -25.7, 1.
-25.7, 2/7, 1
Sort 3, -1, 24, 12 in descending order.
24, 12, 3, -1
Sort -68, -2, 10, 4, 3 in ascending order.
-68, -2, 3, 4, 10
Put 24, 0, -17 in ascending order.
-17, 0, 24
Sort -1, 2, 25 in ascending order.
-1, 2, 25
Put 1/19, 2/9, 2 in decreasing order.
2, 2/9, 1/19
Sort 1, -8, 5, -2.
-8, -2, 1, 5
Put 5, -63, 21, 0 in descending order.
21, 5, 0, -63
Sort 1165, 4, -5 in descending order.
1165, 4, -5
Sort -1, -2, -11165 in ascending order.
-11165, -2, -1
Sort 2, -5, 14 in descending order.
14, 2, -5
Sort -1/5, -8, -5, -1.
-8, -5, -1, -1/5
Sort 1, 50, 3, -4 in decreasing order.
50, 3, 1, -4
Put -77, -2, -5 in descending order.
-2, -5, -77
Sort -4, -0.07, -7, 0.1 in decreasing order.
0.1, -0.07, -4, -7
Sort 0, -88, -3/7 in decreasing order.
0, -3/7, -88
Sort 65, -4, 5, 0 in decreasing order.
65, 5, 0, -4
Sort 4, 0.1,
|
{
"pile_set_name": "DM Mathematics"
}
|
97 is divided by 25?
22
Calculate the remainder when 2648 is divided by 34.
30
Calculate the remainder when 198 is divided by 10.
8
What is the remainder when 29 is divided by 18?
11
What is the remainder when 1214 is divided by 122?
116
What is the remainder when 1224 is divided by 7?
6
What is the remainder when 455 is divided by 111?
11
Calculate the remainder when 150 is divided by 47.
9
What is the remainder when 2729 is divided by 105?
104
What is the remainder when 423 is divided by 13?
7
What is the remainder when 1141 is divided by 52?
49
What is the remainder when 42 is divided by 22?
20
Calculate the remainder when 86 is divided by 22.
20
Calculate the remainder when 1948 is divided by 11.
1
Calculate the remainder when 8532 is divided by 15.
12
Calculate the remainder when 540 is divided by 157.
69
Calculate the remainder when 90 is divided by 44.
2
What is the remainder when 271 is divided by 85?
16
Calculate the remainder when 419 is divided by 47.
43
Calculate the remainder when 217 is divided by 20.
17
What is the remainder when 35 is divided by 5?
0
What is the remainder when 169 is divided by 17?
16
What is the remainder when 1534 is divided by 222?
202
What is the remainder when 394 is divided by 131?
1
What is the remainder when 855 is divided by 41?
35
What is the remainder when 16 is divided by 10?
6
Calculate the remainder when 1768 is divided by 59.
57
What is the remainder when 118 is divided by 55?
8
Calculate the remainder when 650 is divided by 16.
10
What is the remainder when 427 is divided by 48?
43
What is the remainder when 10 is divided by 9?
1
Calculate the remainder when 259 is divided by 72.
43
Calculate the remainder when 484 is divided by 10.
4
What is the remainder when 851 is divided by 14?
11
Calculate the remainder when 1015 is divided by 64.
55
What is the remainder when 1239 is divided by 49?
14
Calculate the remainder when 133 is divided by 29.
17
What is the remainder when 17 is divided by 6?
5
What is the remainder when 159 is divided by 55?
49
Calculate the remainder when 2197 is divided by 122.
1
Calculate the remainder when 213 is divided by 35.
3
What is the remainder when 587 is divided by 180?
47
What is the remainder when 972 is divided by 314?
30
Calculate the remainder when 638 is divided by 45.
8
Calculate the remainder when 5068 is divided by 78.
76
What is the remainder when 176 is divided by 30?
26
What is the remainder when 4239 is divided by 533?
508
Calculate the remainder when 532 is divided by 13.
12
Calculate the remainder when 934 is divided by 8.
6
What is the remainder when 2078 is divided by 20?
18
Calculate the remainder when 7343 is divided by 36.
35
What is the remainder when 1857 is divided by 12?
9
What is the remainder when 543 is divided by 16?
15
Calculate the remainder when 59 is divided by 21.
17
What is the remainder when 7769 is divided by 19?
17
Calculate the remainder when 26778 is divided by 130.
128
What is the remainder when 246 is divided by 81?
3
What is the remainder when 1294 is divided by 643?
8
What is the remainder when 424 is divided by 233?
191
Calculate the remainder when 197 is divided by 35.
22
What is the remainder when 1700 is divided by 9?
8
What is the remainder when 992 is divided by 110?
2
Calculate the remainder when 4006 is divided by 12.
10
Calculate the remainder when 28 is divided by 9.
1
What is the remainder when 29894 is divided by 15?
14
Calculate the remainder when 55 is divided by 9.
1
Calculate the remainder when 3323 is divided by 19.
17
What is the remainder when 1138 is divided by 373?
19
Calculate the remainder when 467 is divided by 94.
91
What is the remainder when 25 is divided by 8?
1
What is the remainder when 407 is divided by 128?
23
Calculate the remainder when 249 is divided by 12.
9
Calculate the remainder when 2734 is divided by 6.
4
What is the remainder when 819 is divided by 5?
4
What is the remainder when 245 is divided by 61?
1
Calculate the remainder when 54 is divided by 44.
10
What is the remainder when 277 is divided by 35?
32
Calculate the remainder when 491 is divided by 4.
3
What is the remainder when 306 is divided by 163?
143
Calculate the remainder when 238 is divided by 16.
14
What is the remainder when 2011 is divided by 13?
9
Calculate the remainder when 626 is divided by 63.
59
Calculate the remainder when 2583 is divided by 76.
75
What is the remainder when 87 is divided by 36?
15
Calculate the remainder when 556 is divided by 34.
12
What is the remainder when 398 is divided by 81?
74
What is the remainder when 290 is divided by 36?
2
What is the remainder when 95 is divided by 25?
20
Calculate the remainder when 583 is divided by 39.
37
Calculate the remainder when 2734 is divided by 677.
26
Calculate the remainder when 430 is divided by 16.
14
What is the remainder when 121 is divided by 41?
39
What is the remainder when 797 is divided by 50?
47
What is the remainder when 312 is divided by 21?
18
Calculate the remainder when 4804 is divided by 27.
25
Calculate the remainder when 59 is divided by 9.
5
What is the remainder when 2508 is divided by 279?
276
Calculate the remainder when 4878 is divided by 18.
0
Calculate the remainder when 82 is divided by 19.
6
Calculate the remainder when 7 is divided by 3.
1
Calculate the remainder when 2195 is divided by 110.
105
Calculate the remainder when 861 is divided by 18.
15
What is the remainder when 806 is divided by 264?
14
What is the remainder when 151 is divided by 46?
13
Calculate the remainder when 98 is divided by 20.
18
Calculate the remainder when 135 is divided by 9.
0
What is the remainder when 40 is divided by 19?
2
Calculate the remainder when 83 is divided by 76.
7
What is the remainder when 179 is divided by 26?
23
What is the remainder when 299 is divided by 93?
20
What is the remainder when 1869 is divided by 52?
49
Calculate the remainder when 252 is divided by 5.
2
What is the remainder when 7829 is divided by 178?
175
What is the remainder when 125 is divided by 32?
29
Calculate the remainder when 4620 is divided by 132.
0
What is the remainder when 166 is divided by 55?
1
What is the remainder when 4388 is divided by 183?
179
Calculate the remainder when 114 is divided by 61.
53
Calculate the remainder when 8772 is divided by 214.
212
Calculate the remainder when 152 is divided by 26.
22
What is the remainder when 3775 is divided by 70?
65
What is the remainder when 2144 is divided by 37?
35
Calculate the remainder when 133 is divided by 23.
18
What is the remainder when 209 is divided by 14?
13
What is the remainder when 5935 is divided by 66?
61
What is the remainder when 371 is divided by 133?
105
Calculate the remainder when 94 is divided by 63.
31
What is the remainder when 868 is divided by 176?
164
What is the remainder when 1419 is divided by 79?
76
What is the remainder when 159 is divided by 24?
15
Calculate the remainder when 116 is divided by 39.
38
Calculate the remainder when 16545 is divided by 67.
63
What is the remainder when 25 is divided by 7?
4
Calculate the remainder when 668 is divided by 45.
38
What is the remainder when 125 is divided by 30?
5
Calculate the remainder when 69 is divided by 24.
21
Calculate the remainder when 1457 is divided by 10.
7
What is the remainder when 358 is divided by 72?
70
What is the remainder when 181 is divided by 119?
62
What is the remainder when 5585 is divided by 151?
149
Calculate the remainder when 656 is divided by 162.
8
What is the remainder when 2425 is divided by 83?
18
What is the remainder when 597 is divided by 48?
21
Calculate the remainder when 564 is divided by 44.
36
What is the remainder when 498 is divided by 101?
94
What is the remainder when 71 is divided by 45?
26
Calculate the remainder when 489 is divided by 10.
9
What is the remainder when 8048 is divided by 97?
94
What is the remainder when 153 is divided by 28?
13
What is the remainder when 400 is divided by 16?
0
What is the remainder when 348 is divided by 35?
33
What is the remainder when 13 is divided by 10?
3
Calculate the remainder when 97 is divided by 11.
9
What is the remainder when 197 is divided by 68?
61
What is the remainder when 740 is divided by 7?
5
Calculate the remainder wh
|
{
"pile_set_name": "DM Mathematics"
}
|
- a**2 + 22 + (a - 313 + 1182 - 196)*(-a + 0*a + 2*a) to the form l*a + y + f*a**2 and give y.
-2
Rearrange 150 - 30 + 230 + 7 - 27 + 5*o to the form i*o + f and give f.
330
Rearrange -18*k + 28*k - 572*k**2 - 12*k to the form f*k**2 + l*k + r and give f.
-572
Rearrange 83*y**3 - 42*y**3 - 106*y + 97*y - 39*y**3 + 70 to the form a*y + s*y**3 + o*y**2 + x and give s.
2
Express -22*k - 183*k**3 + 368*k**3 + 41*k + 2 - 181*k**3 + 3 as s*k**2 + v*k + w*k**3 + y and give w.
4
Rearrange 372*j + 754*j + 1 - 173*j + (4*j - 5*j + 2*j)*(-2 - 2 + 6) - 3*j - j + 5*j to the form n + u*j and give u.
956
Express (-4 - 7 - 4 + 0)*(1010*k + 588*k - 2894*k) as v + y*k and give y.
19440
Rearrange -2378*h**2 - 57*h**2 - 5 + 2 + 3 + 1 + h to the form g*h + d + y*h**2 and give g.
1
Rearrange 771 + 761 - 1529 - 3330*f to the form u*f + x and give u.
-3330
Express 0 + 2269*r - 2704*r + 5 - 8 as u + q*r and give q.
-435
Rearrange 1 - 252*g**2 + 2*g + 0 - 8*g + 6*g to the form i*g + f*g**2 + x and give x.
1
Express (-34 - 2*s + 34)*(21 + 48 - 13) - 5*s - 4*s + 4*s as u*s + o and give u.
-117
Rearrange (36 + 18 + 18)*(6*j + 8 + 2*j - 11) to l*j + c and give c.
-216
Express (-2 - 22*c**2 + c - 4 + 4)*(11*c - 31*c - 837 + 835) as m*c**3 + t + k*c**2 + s*c and give m.
440
Express -2541*k - 2005*k - 4435*k in the form o*k + s and give o.
-8981
Rearrange 19958870 - 19958870 + 3000*a**2 to m*a**2 + k*a + g and give m.
3000
Rearrange -t - 5*t**4 + 8153*t**2 + 4*t**4 + 8129*t**2 - 9*t**3 - 16283*t**2 + 4 to j*t + u + k*t**2 + d*t**4 + a*t**3 and give j.
-1
Rearrange (-2*c - c - c)*(-2*c + 2 - 2)*(-204 - 54 - 2*c - 88) to p + x*c**2 + d*c**3 + l*c and give x.
-2768
Rearrange -5*x + 2*x + x + 5 - 2*x - 5 + 3*x + x - 6*x - x + 3*x - 3*x + (-3 + 3 + 2)*(-2*x - 2*x + 3*x) + 25409 - 710*x - 25409 to k + m*x and give k.
0
Rearrange 5 - 5 - 2*r + (-199 - 442*r + 199)*(7 - 3 + 4) to n*r + j and give n.
-3538
Rearrange -1 + c**3 + 1 + (7 - 7 - 6*c**2)*(-2*c + 3*c - 3*c) + (-2*c**3 + 47*c**2 - 46*c**2 - c**3)*(-5 + 3 + 4) to r + k*c**2 + y*c**3 + a*c and give k.
2
Express -986*g**2 + 7474*g**2 - 10009*g**2 - 25194*g**2 in the form s*g**2 + i + y*g and give s.
-28715
Express 43*l**3 - 16*l**3 + 35*l**3 - l**2 + 3479 - 3477 + 0*l**3 as t*l + x*l**3 + a*l**2 + y and give a.
-1
Rearrange -3*s**4 - 2*s**2 - 6*s**3 + 60329 - 60343 + 3*s + s**2 to the form q*s**3 + r*s**4 + v + l*s + c*s**2 and give c.
-1
Express (85 - 19*d - 85)*(d - 10*d + 4*d) + 2*d**2 - 3*d**2 + 2*d**2 as h*d**2 + b*d + g and give h.
96
Express -h + 3*h**3 + 6979 + 12*h**2 - 7*h**4 + 9*h**2 - 6980 + 3*h as w*h**4 + g*h**3 + t + p*h**2 + u*h and give p.
21
Express 5366*p + 5175*p - 9749*p + p**2 as x*p**2 + z*p + f and give z.
792
Rearrange -2*i**2 + 4*i**2 - 3*i**2 + (401*i - 199254 + 99629 + 99629)*(-4*i + i + i) to h + m*i**2 + t*i and give t.
-8
Express (-100379 - 1399*n + 100382 + 196*n)*(4 - 1 - 1) as t*n + y and give y.
6
Rearrange (-2 + 3 - 2)*(-12*d - 5*d - 4*d) + 10 - 12 + 8 + d to h*d + m and give m.
6
Express 61213*m - 61197*m - 28 + m**2 - 147 in the form o*m**2 + t + n*m and give t.
-175
Rearrange -1594*r**2 + 2 + 3193*r**2 + 2*r - 2*r - 559*r**3 + 2*r - 1597*r**2 to g*r + z*r**2 + f + q*r**3 and give q.
-559
Rearrange (c**3 - c**2 + c**2)*(-192*c - 447*c + 1 + 229*c)*(5 + 0 - 4)*(-2 - 2 + 2) to the form f*c**4 + b*c**3 + g*c + z*c**2 + q and give b.
-2
Rearrange (0 - 1 - 1)*(-130881*p - 2 + 4 + 130788*p - 249*p**4) to the form o*p**2 + v*p**3 + y + k*p**4 + u*p and give y.
-4
Express -3*h**3 - 2*h**4 + 273 + 156 - 543 + 8*h**3 in the form u*h**4 + b*h**3 + g*h**2 + f*h + z and give b.
5
Express 3414 - 2654 + 2317 - 3*b + (2 + b - 2)*(-5 + 4 - 1) - 4*b + 0*b + 3*b + 4*b - 2*b - 3*b in the form a + s*b and give a.
3077
Rearrange -33567 + 7*t**3 - 806*t**2 + 33568 + 184*t**2 to p*t + f + b*t**2 + l*t**3 and give f.
1
Express (4727 - 4718 - 10*a**2 - 95*a**2)*(-a + 4 - 4) as r*a**2 + v*a + i*a**3 + o and give i.
105
Express 0*b - 34*b + 43*b - b**2 - 415 - 8*b in the form h + k*b + r*b**2 and give k.
1
Rearrange (8 - 18 + 9)*(1025*m - 986*m - 1476*m) to the form k + q*m and give q.
1437
Rearrange 0*y**2 + 5*y**2 + 6*y**2 + (-3*y + 0*y + y)*(4*y + 6 - 6) - 10*y**2 - 8*y**2 + 12 + 20*y**2 to the form q + h*y**2 + u*y and give h.
5
Rearrange 0*y**2 - 8*y**2 + 0*y**2 + (-y - 3*y + 2*y)*(-3*y + y + 3*y) - 63*y**2 - 108*y**2 + 22*y**2 to the form x*y**2 + u*y + c and give x.
-159
Rearrange -147*q**2 + 88*q**2 + 19 + 7*q + 57*q**2 to k*q**2 + i*q + c and give c.
19
Rearrange (-l + 4*l - l)*(0 - 1 - 1) + l + 19*l - 11*l + (0 + 0 - 1)*(-2*l + 5 - 5) - l + 5*l - l to y*l + a and give y.
10
Express 1128476 - 5*u + 164*u**3 + 5*u - 1128439 as l*u**3 + z + h*u**2 + p*u and give z.
37
Rearrange -9*m**3 + 350 + m**3 + 28*m**3 - 14*m**3 - 8*m**3 to u*m**3 + x*m + d + t*m**2 and give d.
350
Rearrange (3 + 3 - 2)*((0 - 2 - 1)*(-2 + 2 + 3*f) - 327*f - 212*f + 203*f) to the form g*f + k and give g.
-1380
Rearrange v**2 + 14 + 2*v**2 - 27 + 18 + 0*v**2 + 225*v**3 to the form g*v**2 + p*v + y + a*v**3 and give y.
5
Rearrange 2381*r**3 - 799*r**3 + r**2 + 2122*r - 790*r**3 - 791*r**3 to the form q + z*r**2 + v*r**3 + m*r and give q.
0
Rearrange -62*y**3 + 7*y**2 - 166118*y - 3 + 166118*y to v*y**2 + a*y**3 + k + r*y and give v.
7
Rearrange (q - 3*q + 3*q)*(-761*q - 79*q + 440*q - 76*q) to a + w*q**2 + r*q and give w.
-476
Rearrange 94847*g - 5*g**3 + 94845*g + g**4 - 3*g**2 - 189692*g - 3 to m*g + w + t*g**3 + p*g**2 + h*g**4 and give h.
1
Express (18 - 4 + 16)*(2 - 2 + 2*a)*(2*a - 4*a + a) + (5*a - 5*a - 6*a)*(-21*a + 8*a + 76*a) as j*a + b*a**2 + s and give b.
-438
Express -47*h + 86*h + 41*h**2 - 43*h + 33*h**2 + 15 in the form j*h + b*h**2 + r and give b.
74
Rearrange (-26*c**2 - 3885*c + 3885*c + 7)*(-1 + 3 - 4)*(3*c + 0*c + 0*c) to u*c**2 + q*c**3 + l + t*c and give t.
-42
Express p**2 - 11*p**3 + 140*p + 0*p**2 - 67*p + 3*p**2 - 62*p in the form o + i*p**2 + u*p**3 + d*p and give u.
-11
Rearrange -602*o**4 + 802*o**4 - 81 - 2644*o**4 + 40 + 41 + (8 - 8 + 24)*(-2*o**4 - 3*o**4 + 6*o**4) to the form f + q*o**4 + p*o + t*o**3 + j*o**2 and give q.
-2420
Express (-248 + 188 - 142)*(-3 + 3 - 1)*(-5*r**2 + 0*r**2 + 3*r**2) + r**2 + 7*r**2 - 2*r**2 in the form m + h*r + n*r**2 and give n.
-398
Rearrange 1573*g + 1454*g - 1016*g + 2226*g to the form w + d*g and give d.
4237
Rearrange (1513*s + 994*s + 380*s + 755*s - 283*s)*(47 + 35*s - 47) to the form n*s**2 + h + u*s and give h.
0
Rearrange -2*c**2 + 264*c + 16*c**3 - 10*c**3 + 3 + 3*c**2 - 3*c**2 - 906*c to the form a*c + g*c**3 + q + b*c**2 and give q.
3
Express (-8 + 11 + 11)*(0 - z + 0) - 206*z - 233*z + 391*z + (0 - z + 0)*(-1 - 2 + 1) - 6*z + 2*z + 3*z + 3*z - z + 0 - 2 in the form k*z + d and give k.
-59
Express (-2 + 2 - z)*(-56 - 38 - 12)*(-6*z**3 - 9*z**3 + 0*z**3) as g*z**2 + t*z + q + k*z**4 + f*z**3 and give k.
-1590
Rearrange (-9*f + 13*f + 18*f)*(-6 + 60*f - 12*f + 6 + 4) to w*f**2 + y + x*f and give x.
88
Express -3*h**2 + 2*h + 0*h**2 - 4*h - 7 + 5*h**2 + 178*h**3 + 0*h**2 as j*h**2 + q + r*h + a*h**3 and give j.
2
Express 154 - 1982*c + 249*c - 323 + 169 in the form h*c + z and give h.
-1733
Rearrange (-17*q + 6*q - 18*q)*(-1 - 2*q + 1)*(-2 + 0 + 1)*(1 + 3 - 3)*(3 + 3 - 5) + 69*q**2 - 184*q**2 - 44*q**2 to the form j*q**2 + g + s*q and give j.
-217
Rearrange (-10 - 15 + 6)*(5 - 7 + 1)*(1 + 3 - 11)*(-3 - 4*a**4 + 6*a**3 + 3*a**4 - 2*a**3) to the form i*a**4 + s*a + v + b*a**2 + n*a**3 and give b.
0
Express -1 - 2 - 178*i**3 + 483*i**3 - 5*i**2 - 121*i**3 as t*i + c + d*i**3 + l*i**2 and give l.
-5
Rearrange (427 - 149 - 1333 - 1254)*(2*o**2 + o**2 - 6*o**2) to r*o + k*o**2 + g and give k.
6927
Express -15333*d + 3566*d + 3255*d - 12557*d in the form s + y*d and give y.
-21069
Rearrange (2 - 2*p - 2)*(292793 + 111187 + 290690 + 7233 - 19650 - 27804) to the form a*p + d and give a.
-1308898
Rearrange 179 + 1898*k - 49 - 42 - 91 to u*k + g and give u.
1898
Express 35858 + 830*w + 1270*w - 35858 as z + r*w and give r.
2100
Rearrange 7*l - 54 - l**3 + 1094*l**2 - 1093*l**2 + 4 - 133 to s*l + v*l**2 + u*l**3 + b and give b.
-183
Rearrange 3*m**4 - m**2 - 7*m**4 - 13*m**3 + 1 + m**4 + 112*m + 11*m**3 to the form l*m**2 + y*m**4 + a*m**3 + i + s*m and give l.
-1
Express -7
|
{
"pile_set_name": "DM Mathematics"
}
|
he remainder when 310797 is divided by 409.
366
What is the remainder when 654 is divided by 82?
80
Calculate the remainder when 6889 is divided by 71.
2
What is the remainder when 17151 is divided by 17124?
27
What is the remainder when 5339 is divided by 67?
46
What is the remainder when 9435 is divided by 11?
8
What is the remainder when 55535 is divided by 51?
47
What is the remainder when 21481 is divided by 65?
31
What is the remainder when 40895 is divided by 242?
239
Calculate the remainder when 96375 is divided by 286.
279
Calculate the remainder when 22502 is divided by 58.
56
What is the remainder when 2075 is divided by 73?
31
What is the remainder when 20907 is divided by 237?
51
What is the remainder when 20203 is divided by 6734?
1
What is the remainder when 245540 is divided by 39?
35
What is the remainder when 28848 is divided by 41?
25
What is the remainder when 13052 is divided by 2078?
584
Calculate the remainder when 3836 is divided by 321.
305
Calculate the remainder when 699 is divided by 6.
3
Calculate the remainder when 477866 is divided by 102.
98
Calculate the remainder when 67597 is divided by 52.
49
What is the remainder when 84842 is divided by 334?
6
What is the remainder when 87601 is divided by 80?
1
What is the remainder when 1386 is divided by 910?
476
What is the remainder when 257161 is divided by 142?
141
Calculate the remainder when 27187 is divided by 96.
19
Calculate the remainder when 11638 is divided by 267.
157
What is the remainder when 231476 is divided by 9?
5
Calculate the remainder when 10697 is divided by 75.
47
What is the remainder when 44912 is divided by 197?
193
Calculate the remainder when 2522 is divided by 127.
109
What is the remainder when 10905 is divided by 53?
40
Calculate the remainder when 3973 is divided by 1321.
10
What is the remainder when 12626 is divided by 2931?
902
What is the remainder when 1155 is divided by 158?
49
What is the remainder when 31210 is divided by 2418?
2194
What is the remainder when 321625 is divided by 7147?
10
What is the remainder when 263058 is divided by 6?
0
What is the remainder when 3096 is divided by 24?
0
What is the remainder when 2257 is divided by 386?
327
What is the remainder when 17623 is divided by 2051?
1215
Calculate the remainder when 428865 is divided by 1083.
1080
Calculate the remainder when 1267 is divided by 407.
46
Calculate the remainder when 530 is divided by 474.
56
Calculate the remainder when 2835 is divided by 170.
115
What is the remainder when 99229 is divided by 89?
83
What is the remainder when 15185 is divided by 949?
1
What is the remainder when 446142 is divided by 74356?
6
What is the remainder when 2181 is divided by 1085?
11
What is the remainder when 22432 is divided by 5601?
28
Calculate the remainder when 1228191 is divided by 445.
436
Calculate the remainder when 1700 is divided by 325.
75
What is the remainder when 252635 is divided by 27?
23
Calculate the remainder when 155337 is divided by 38834.
1
Calculate the remainder when 26303 is divided by 127.
14
What is the remainder when 216521 is divided by 54?
35
What is the remainder when 21835 is divided by 10904?
27
What is the remainder when 1115 is divided by 200?
115
Calculate the remainder when 1578 is divided by 58.
12
Calculate the remainder when 11930 is divided by 1971.
104
Calculate the remainder when 5044 is divided by 942.
334
What is the remainder when 27077 is divided by 27?
23
What is the remainder when 155645 is divided by 16?
13
Calculate the remainder when 6509 is divided by 16.
13
What is the remainder when 6737 is divided by 1542?
569
What is the remainder when 9688 is divided by 606?
598
What is the remainder when 223 is divided by 165?
58
Calculate the remainder when 21496 is divided by 4299.
1
Calculate the remainder when 167073 is divided by 205.
203
What is the remainder when 454 is divided by 208?
38
What is the remainder when 117279 is divided by 724?
715
Calculate the remainder when 39326 is divided by 46.
42
Calculate the remainder when 1762 is divided by 336.
82
What is the remainder when 5722 is divided by 23?
18
What is the remainder when 124805 is divided by 41599?
8
Calculate the remainder when 156151 is divided by 273.
268
Calculate the remainder when 148724 is divided by 148707.
17
Calculate the remainder when 76428 is divided by 10917.
9
What is the remainder when 37122 is divided by 312?
306
What is the remainder when 29661 is divided by 925?
61
What is the remainder when 1180 is divided by 1173?
7
Calculate the remainder when 55859 is divided by 147.
146
What is the remainder when 3762 is divided by 609?
108
Calculate the remainder when 199367 is divided by 24919.
15
Calculate the remainder when 3082307 is divided by 77.
74
What is the remainder when 86001 is divided by 5052?
117
What is the remainder when 199861 is divided by 1204?
1201
What is the remainder when 575 is divided by 9?
8
Calculate the remainder when 22196 is divided by 601.
560
What is the remainder when 1406 is divided by 1159?
247
What is the remainder when 75178 is divided by 5780?
38
What is the remainder when 2018 is divided by 46?
40
Calculate the remainder when 3111 is divided by 258.
15
Calculate the remainder when 1381 is divided by 463.
455
Calculate the remainder when 2195 is divided by 1384.
811
What is the remainder when 21874 is divided by 21654?
220
What is the remainder when 2676 is divided by 269?
255
Calculate the remainder when 4221 is divided by 1172.
705
What is the remainder when 3977 is divided by 1280?
137
Calculate the remainder when 2037 is divided by 170.
167
Calculate the remainder when 3733 is divided by 3677.
56
What is the remainder when 94977 is divided by 629?
627
What is the remainder when 10259 is divided by 130?
119
Calculate the remainder when 943291 is divided by 201.
199
Calculate the remainder when 256828 is divided by 462.
418
Calculate the remainder when 93936 is divided by 23483.
4
What is the remainder when 8877 is divided by 2421?
1614
Calculate the remainder when 59392 is divided by 28.
4
What is the remainder when 20249 is divided by 2523?
65
Calculate the remainder when 27717 is divided by 11.
8
Calculate the remainder when 3347 is divided by 197.
195
Calculate the remainder when 129071 is divided by 3796.
7
Calculate the remainder when 97367 is divided by 29.
14
Calculate the remainder when 643034 is divided by 321512.
10
Calculate the remainder when 81392 is divided by 114.
110
Calculate the remainder when 1210 is divided by 479.
252
Calculate the remainder when 8450 is divided by 7.
1
Calculate the remainder when 2822 is divided by 575.
522
What is the remainder when 171431 is divided by 581?
36
Calculate the remainder when 93949 is divided by 13419.
16
What is the remainder when 954176 is divided by 570?
566
What is the remainder when 2609 is divided by 817?
158
What is the remainder when 15828 is divided by 3132?
168
What is the remainder when 9520 is divided by 23?
21
Calculate the remainder when 2741 is divided by 194.
25
What is the remainder when 9063 is divided by 395?
373
What is the remainder when 1408 is divided by 185?
113
Calculate the remainder when 1500 is divided by 103.
58
Calculate the remainder when 46004 is divided by 517.
508
Calculate the remainder when 4934 is divided by 1644.
2
What is the remainder when 246356 is divided by 93?
92
What is the remainder when 10600 is divided by 39?
31
Calculate the remainder when 78816 is divided by 657.
633
What is the remainder when 2521 is divided by 97?
96
What is the remainder when 401 is divided by 24?
17
Calculate the remainder when 10483 is divided by 3487.
22
Calculate the remainder when 2538 is divided by 551.
334
What is the remainder when 193236 is divided by 11?
10
What is the remainder when 6869 is divided by 624?
5
Calculate the remainder when 248916 is divided by 71.
61
Calculate the remainder when 13936 is divided by 13926.
10
Calculate the remainder when 130607 is divided by 1839.
38
What is the remainder when 47814 is divided by 2390?
14
Calculate the remainder when 52802 is divided by 874.
362
What is the remainder when 7627 is divided by 375?
127
What is the remainder when 1466 is divided by 267?
131
Calculate the remainde
|
{
"pile_set_name": "DM Mathematics"
}
|
denominator of -37/741120 and -127/247040.
741120
Calculate the smallest common multiple of 573 and 16725.
3194475
Find the common denominator of -95/127044 and 83/108.
381132
Calculate the common denominator of -79/2842 and 11/714.
144942
What is the common denominator of 5/7833 and 7/5595?
39165
Calculate the least common multiple of 840 and 224.
3360
Calculate the least common multiple of 2006 and 34751.
1181534
What is the lowest common multiple of 7007 and 20384?
224224
Calculate the common denominator of -139/1164 and -50/33.
12804
Calculate the lowest common multiple of 8 and 788084.
1576168
Find the common denominator of 31/19190 and -13/844360.
844360
What is the common denominator of -97/1416492 and 73/10?
7082460
What is the lowest common multiple of 533218 and 6?
1599654
Find the common denominator of 17/19360 and -27/58.
561440
Calculate the smallest common multiple of 15239 and 91.
198107
What is the lowest common multiple of 45 and 474084?
2370420
Find the common denominator of 43/19876 and 13/2128.
10574032
What is the smallest common multiple of 54120 and 18480?
757680
Find the common denominator of -53/280 and 86/11445.
91560
Calculate the least common multiple of 455680 and 227840.
455680
Find the common denominator of -65/27126 and 59/78912.
868032
What is the lowest common multiple of 12060 and 80?
48240
Find the common denominator of -61/455 and -73/208.
7280
Calculate the common denominator of 121/1764 and 7/78552.
3849048
Calculate the lowest common multiple of 21 and 5327.
15981
Calculate the lowest common multiple of 242500 and 1.
242500
Calculate the least common multiple of 22356 and 207.
22356
Find the common denominator of 25/2 and 107/111524.
111524
What is the common denominator of 9/392576 and -3/1079584?
4318336
What is the common denominator of 66/2755 and -94/8265?
8265
Find the common denominator of 143/876 and 11/8979.
35916
What is the smallest common multiple of 30916 and 6812?
401908
What is the least common multiple of 2 and 1917026?
1917026
Calculate the lowest common multiple of 146372 and 12.
439116
What is the common denominator of -151/100668 and 18/7?
704676
Calculate the common denominator of 13/72297 and -34/72297.
72297
Calculate the common denominator of -47/1560 and 67/169416.
847080
Calculate the common denominator of 89/312 and -61/7560.
98280
Calculate the common denominator of -71/175 and -24/343.
8575
Calculate the lowest common multiple of 169 and 10153.
131989
Calculate the least common multiple of 18727 and 2763.
168543
Find the common denominator of -3/7 and -17/66197.
463379
Calculate the common denominator of 43/27 and -77/924354.
2773062
What is the smallest common multiple of 18 and 60?
180
What is the common denominator of 38/1169 and -105/235136?
1645952
Calculate the least common multiple of 24552 and 2728.
24552
Calculate the least common multiple of 627 and 11.
627
What is the smallest common multiple of 2850 and 500?
28500
Calculate the smallest common multiple of 2340 and 936.
4680
Calculate the smallest common multiple of 375820 and 1634.
375820
Calculate the common denominator of -71/484764 and -95/14.
484764
What is the smallest common multiple of 144 and 2697?
129456
Calculate the common denominator of 28/11 and 107/91546.
1007006
What is the common denominator of -77/104 and -19/14599?
116792
What is the common denominator of 23/14755 and 27/530?
1564030
Calculate the common denominator of -27/2 and -49/492768.
492768
Calculate the lowest common multiple of 65900 and 400.
263600
What is the common denominator of 59/106952 and 83/8298?
962568
Calculate the least common multiple of 9246 and 201.
9246
Calculate the common denominator of 83/43372 and 1/238546.
477092
What is the common denominator of 91/5490 and 103/7930?
71370
What is the lowest common multiple of 45485 and 8270?
90970
What is the least common multiple of 1969 and 429?
76791
Calculate the common denominator of 71/128424 and 103/48.
256848
Calculate the common denominator of -35/26742 and 53/9.
80226
Find the common denominator of -1/270873 and 31/60194.
541746
Calculate the least common multiple of 646 and 5.
3230
Calculate the lowest common multiple of 30525 and 407.
30525
What is the common denominator of 85/496 and 85/1386?
343728
Calculate the least common multiple of 2812 and 266.
19684
Calculate the least common multiple of 110691 and 344372.
3099348
Find the common denominator of 79/11904 and 95/648.
321408
What is the common denominator of -121/114 and -19/105078?
1996482
Find the common denominator of -139/65700 and 97/157680.
788400
Calculate the smallest common multiple of 2576 and 184.
2576
Calculate the common denominator of 73/45936 and -125/61248.
183744
What is the lowest common multiple of 150 and 1590?
7950
What is the smallest common multiple of 392 and 31948?
63896
Calculate the common denominator of 2/1092135 and -59/655281.
3276405
What is the smallest common multiple of 20 and 806845?
3227380
What is the lowest common multiple of 9177 and 46?
18354
Find the common denominator of -53/3980 and 22/597.
11940
Calculate the lowest common multiple of 337513 and 9.
3037617
What is the smallest common multiple of 230 and 105?
4830
What is the common denominator of 119/100 and 51/1340?
6700
Find the common denominator of -19/1253331 and 16/9.
1253331
Find the common denominator of -57/9112 and 37/150616.
2560472
Calculate the common denominator of 41/7640 and 125/4584.
22920
Find the common denominator of 197/923910 and -37/715.
10163010
What is the common denominator of -81/104 and 83/7449?
59592
Find the common denominator of -125/5238 and -125/256662.
256662
Calculate the common denominator of 109/312 and 46/45.
4680
What is the smallest common multiple of 17315 and 62334?
311670
Calculate the least common multiple of 15622 and 511.
109354
What is the smallest common multiple of 41 and 1685?
69085
What is the common denominator of -169/17052 and 79/2436?
17052
Find the common denominator of -103/48246 and -32/8041.
48246
Calculate the common denominator of 68/9 and -19/6121.
55089
Calculate the common denominator of 131/192 and 67/20890.
2005440
What is the least common multiple of 598 and 17056?
392288
What is the smallest common multiple of 290 and 298207?
2982070
Calculate the lowest common multiple of 504 and 19734.
1657656
Find the common denominator of -61/20 and -161/242940.
242940
Calculate the common denominator of 101/60 and 19/270156.
1350780
Calculate the lowest common multiple of 3876 and 348840.
348840
Calculate the common denominator of -95/161916 and -83/4.
161916
What is the common denominator of -19/132209 and -97/28?
528836
Calculate the smallest common multiple of 289970 and 1159880.
1159880
Calculate the lowest common multiple of 4 and 405400.
405400
Calculate the common denominator of -121/504 and -113/4088.
36792
Calculate the smallest common multiple of 205 and 80032.
400160
Calculate the lowest common multiple of 1419 and 21027.
231297
Find the common denominator of -43/55701 and -127/61890.
557010
What is the lowest common multiple of 148 and 10582?
21164
Find the common denominator of 7/36 and -59/201720.
605160
Calculate the least common multiple of 14250 and 120.
57000
Calculate the common denominator of -28/13 and 45/596713.
596713
Calculate the smallest common multiple of 17697 and 170.
176970
Find the common denominator of -93/26522 and -37/4.
53044
What is the smallest common multiple of 58625 and 9625?
644875
Calculate the smallest common multiple of 33320 and 683060.
1366120
Find the common denominator of 77/248 and 11/498.
61752
Calculate the smallest common multiple of 249306 and 15722.
1745142
Find the common denominator of 83/3864 and 85/26082.
104328
Calculate the lowest common multiple of 42692 and 14.
298844
What is the smallest common multiple of 23195 and 106697?
533485
Calculate the common denominator of -81/38 and -67/6808.
129352
What is the common denominator of -99/1402 and -101/62?
43462
Find the common denominator of -25/1467046 and 131/18.
13203414
What is the least common multiple of 1725 and 432?
248400
Find the common denominator of 75/35624 and -93/88.
391864
Calculate the smallest common multiple of 96 and 4688.
28128
Find t
|
{
"pile_set_name": "DM Mathematics"
}
|
e third derivative of -38*f**2 + s + 2 - 74*f**5 + 29*f**2 + 2 wrt f.
-4440*f**2
Let a(c) = 4*c**2 - 7*c - 7. Let m be a(-1). What is the second derivative of 14*z**m + 35*z**2 + 18*z**4 - 42*z**4 - 63*z + 12*z**4 wrt z?
24*z**2 + 70
Suppose 7*z - 23 = 40. Let n(l) = -l**2 + 8*l + 12. Let a be n(z). What is the third derivative of -2*k**2 + 6*k**3 + 0*k**2 - 11*k**3 + 2*k**a wrt k?
-18
Let t = -27 - -39. Suppose t*g + 12 = 16*g. What is the third derivative of -8*w**2 + 22*w**2 - g*w**2 + 21*w**4 wrt w?
504*w
Let i(o) be the third derivative of 1/6*o**3 + 5 + 0*o + 119/120*o**6 + 15/8*o**4 - 7*o**2 + 1/60*o**5. Find the second derivative of i(j) wrt j.
714*j + 2
Find the first derivative of -1191 + 252*h**3 - 557*h**3 + 2*h**2 + 9099 + 4203 + 271*h**3 wrt h.
-102*h**2 + 4*h
Let g be 16/(-6)*225/(-20) + -3. Suppose -g*k = -22*k - 25. What is the second derivative of -3 - 2 - 10*f + k - 27*f**4 wrt f?
-324*f**2
Let f(y) = y + 75. Let w be f(0). Let l = -71 + w. What is the second derivative of -32*a**4 - 3*a - 6*a - 3*a**l wrt a?
-420*a**2
Suppose 74 = j - 19*h + 14*h, -77 = -j + 4*h. Let g = 4 - 1. Find the second derivative of 105*i**3 + 18*i - j*i**g + 4*i wrt i.
96*i
Suppose -3*x - 6*t + 5 = -2*t, 0 = 5*t + 5. Suppose -7 - x = -5*q. Differentiate 2*o**4 + 30*o**4 + 12*o**4 - 7*o**4 - q wrt o.
148*o**3
Suppose 2*n + n - 83 = 4*o, -n - 3*o + 45 = 0. Suppose -n = -4*i + 391. What is the derivative of 0 - 106*q + 18*q**2 + 5 + i*q wrt q?
36*q
Suppose -38 = 3*h + 10. Let s = -12 - h. Find the third derivative of -134*c**2 + 3*c**4 + 119*c**2 - c**s wrt c.
48*c
Let l(u) be the first derivative of -1/4*u**4 + 0*u - 21 + 55*u**2 + 18*u**3. What is the second derivative of l(b) wrt b?
-6*b + 108
Let d(l) = l**3 - 3*l + 294. Let c be d(0). Differentiate 31 + 593*b**2 + 2*b**3 - c*b**2 - 295*b**2 wrt b.
6*b**2 + 8*b
Find the second derivative of 3*l**3 - 690*l**4 - 1229 + 1227 + 199*l + l**3 - 5*l**3 - 194*l**4 wrt l.
-10608*l**2 - 6*l
Let k(v) be the first derivative of 74 - 16/3*v**3 - v**2 - 47*v. What is the derivative of k(x) wrt x?
-32*x - 2
What is the third derivative of 5*u**2 + 33 + 806*u**3 - u + 912*u**3 + 2436*u**3 wrt u?
24924
Let z(n) = -108*n - 968. Let s be z(-9). Let c(h) be the third derivative of 0*h + 3*h**3 + 24*h**2 + 0 + 1/3*h**s. What is the derivative of c(l) wrt l?
8
What is the first derivative of 1466*a**2 + 125571 + a - 2*a - 125861 + 2*a wrt a?
2932*a + 1
What is the first derivative of t**2 + 65*t + 1019 - 14*t - 763*t**3 - 25*t - 26*t wrt t?
-2289*t**2 + 2*t
Let g(d) be the first derivative of 11*d**5/6 + 7*d**4/8 + 19*d**2 + 192. Let j(k) be the second derivative of g(k). Find the second derivative of j(f) wrt f.
220
Let n(y) be the first derivative of -2669*y**3/3 - 1020*y - 2176. What is the first derivative of n(v) wrt v?
-5338*v
Let g(f) be the third derivative of -797*f**7/35 + 1301*f**5/15 - 67*f**2 - 2*f + 28. Find the third derivative of g(r) wrt r.
-114768*r
Let y = -46 + 82. Let l(g) = -2*g**2 + 41*g - 65. Let j be l(18). What is the second derivative of -30*s + 54*s**2 - j*s**2 + y*s**4 - 29*s**2 wrt s?
432*s**2
Let g(b) = -2*b**2 - 2846*b - 5. Let p(a) = 5*a**2 - 2841*a - 4. Let j(q) = 4*g(q) - 5*p(q). What is the second derivative of j(f) wrt f?
-66
Let t be (6/24*2)/(2/(-24)). Let o be (7 - 2) + 1/((-2)/t). What is the second derivative of -11*k - 9*k**3 + 6*k**3 - o*k - 3*k**3 wrt k?
-36*k
Let o be (3/(-4))/(369/(-164)*(-1)/(-6)). Let z = 11 - 8. Differentiate 5 - o*t**z + 2 + 15 + 3*t**3 with respect to t.
3*t**2
Let v be -5 + (2 - (-2 - -1)). Let n be (v - ((-3)/1 - 15))/2. Find the third derivative of 26*l**5 + n*l**6 + 5*l**6 - 7*l**2 - 26*l**5 wrt l.
1560*l**3
Let s be (-126)/(-26) - 5 - 1556/26. Let a = 64 + s. What is the second derivative of a*z**2 + 2*z - 4*z**2 + 0*z**4 + z**4 wrt z?
12*z**2
Let j(v) be the first derivative of -v**4 - 4*v**3/3 + 1297*v - 2829. Differentiate j(q) with respect to q.
-12*q**2 - 8*q
Suppose -5*d - 2*d = -3*d. Suppose 5*p + d*p = 305. What is the first derivative of 3*l**3 - 83 + p + 17*l**3 wrt l?
60*l**2
Let i(p) = p**3 + p**2 + 22. Let a be i(0). Let l be (a/4)/((-1)/4*-2). Differentiate -21*r + 11 + 21*r - 6 + l*r**4 wrt r.
44*r**3
Suppose -32*m = -36 - 28. Find the third derivative of -70*i**3 + 219*i**3 - 1702*i**2 - i + 1760*i**m wrt i.
894
Find the first derivative of 1718*t**3 - 156*t**3 + 65 + 868 - 270*t**3 wrt t.
3876*t**2
Let h(p) be the third derivative of 5*p**6/8 + 9*p**4/8 + 3995*p**3/6 + 25*p**2 - 5. Differentiate h(m) wrt m.
225*m**2 + 27
Find the second derivative of -41*i - 2311*i - 2501*i**2 - 475*i**2 - 902*i + i**5 + 518*i wrt i.
20*i**3 - 5952
Let i = 165 + 196. Let s = i + -248. What is the derivative of s + 116 - 12*u**4 - 228 wrt u?
-48*u**3
Let m(k) be the first derivative of 76 + 0*k**2 + 0*k**5 + 0*k - 13/2*k**6 - 17/3*k**3 + 0*k**4. Find the third derivative of m(o) wrt o.
-2340*o**2
Let i(c) be the second derivative of 1189*c**5/10 - 417*c**2/2 + 3*c - 96. Differentiate i(j) wrt j.
7134*j**2
Suppose -8*c + 10*c - 14682 = 0. What is the third derivative of -47*v**2 - 7433*v**3 + c*v**3 - 78*v**2 wrt v?
-552
Suppose -8*s + 2*s + 136 = 11*s. Let h(z) be the second derivative of 25*z - 6/5*z**5 + s*z**2 + 0*z**3 + 0*z**4 + 0. Find the first derivative of h(j) wrt j.
-72*j**2
Let f(j) be the second derivative of -30*j**2 - 115/6*j**3 - 12*j - 2. What is the first derivative of f(c) wrt c?
-115
Let k(m) = -m**4 - m**2 + m - 1. Let h(u) = 30*u**4 + 8 - 4 - 1 + 2*u**2. Let v(s) = -h(s) - 2*k(s). What is the second derivative of v(t) wrt t?
-336*t**2
Let s(q) = 3*q**2 + 3*q - 1. Let x be s(-2). Suppose -17 = -3*w + x*a, 2*a + 0*a = -w + 24. Find the first derivative of -w - 2*c**3 - 33 + 26 wrt c.
-6*c**2
Let q(b) = -2*b + 46. Let o be (4 - 0) + 0 - -15. Let i be q(o). Find the second derivative of -4*w**5 - w**5 - i*w**5 + 9*w wrt w.
-260*w**3
Let c(f) be the third derivative of f**7/105 + f**5/30 - 407*f**4/24 + 105*f**2 - 1. What is the second derivative of c(z) wrt z?
24*z**2 + 4
Let a(f) = -39*f**2 + 249*f - 1618. Let z(i) = 107*i**2 - 746*i + 4856. Let q(v) = 11*a(v) + 4*z(v). What is the first derivative of q(u) wrt u?
-2*u - 245
Let r(f) be the third derivative of 55*f**8/336 - f**6/40 - 11*f**5/60 - 1449*f**4/4 - f**2 + 1530*f. Find the second derivative of r(s) wrt s.
1100*s**3 - 18*s - 22
Let b(r) be the second derivative of -69*r**5/10 + 5*r**4/12 + 2269*r**3/3 + 4639*r. What is the second derivative of b(y) wrt y?
-828*y + 10
Let s(d) be the first derivative of -740*d**6/3 - 1090*d**3 - 2932. What is the third derivative of s(f) wrt f?
-88800*f**2
Let x(t) = 4943*t**2 - 17*t - 4622. Let h(w) = -1648*w**2 + 6*w + 1541. Let k(r) = -17*h(r) - 6*x(r). What is the derivative of k(l) wrt l?
-3284*l
Let t(o) be the third derivative of -82*o**7/35 + o**6/60 + 3191*o**5/60 + 2231*o**2. What is the third derivative of t(l) wrt l?
-11808*l + 12
Let x(d) = -d**2 - 10*d - 10. Let u be x(-5). Let l = 19 - u. Find the second derivative of -81*z**4 + 14*z + 66*z**l + 5*z wrt z.
-180*z**2
Let x(k) be the third derivative of 3*k**8/8 - k**5/30 + 293*k**4/4 - 6*k**2 + 185. Find the second derivative of x(o) wrt o.
2520*o**3 - 4
Let j(s) = 29*s - 3. Let z be j(1). Suppose 6 = -23*p + z*p. What is the third derivative of 0*b**p + 11*b**5 - 22*b**5 + 16*b**2 wrt b?
-660*b**2
Differentiate -600897 + 406*m**4 + 502*m**4 + 600234 wrt m.
3632*m**3
Let y be (0 + 1)*(-1 + 5). What is the first derivative of -y*m**2 + 10 - 1293*m**4 + 1281*m**4 - 5 wrt m?
-48*m**3 - 8*m
Let x(u) be the second derivative of -8269*u**5/20 + 8437*u**3/6 + 2*u - 4950. Find the second derivative of x(v) wrt v.
-49614*v
Suppose 5*y - 269 = -2*b - b, 162 = 3*y + 2*b. Find the second derivative of -y*w**2 + 2 + 0*w - 43*w**2 - w wrt w.
-190
Let n(m) be the first derivative of 979*m**2/2 + 458*m + 2997. What is the derivative of n(h) wrt h?
979
Let s(y) be the first derivative of 1278*y**5/5 + 2*y**2 + 19*y - 2387. Find the second derivative of s(i) wrt i.
15336*i**2
Let o(j) = 70*j**4 - 7*j**2 + j. Suppose l - 59 = -54. Let k(t) = -t**4 - t**2. Let r(s) = l*k(s) + o(s). What is the third derivative of r(g) wrt g?
1560*g
Suppose -11*n + 485 - 100 = 0. Suppose 155 = 6*x + n. Find
|
{
"pile_set_name": "DM Mathematics"
}
|
- 13 + u = 0, -4*a = 0. Suppose 0 = -i + z*i - 77. Does 11 divide i?
True
Suppose -147*x = -178569 - 198138 - 354177. Does 113 divide x?
True
Is -12 - (-7887 + 1 - 4) a multiple of 13?
True
Let r be (-1)/(-1*1/(-2)). Let p(x) = -x**2 + 13*x + 10. Let g be p(12). Is g - 19 - (r - 282) a multiple of 41?
True
Suppose 0*t = 4*m + 3*t + 725, -4*t - 350 = 2*m. Is 6 a factor of 170/(-204) - m/6?
True
Let u(m) = -21*m - 45. Let v be u(-25). Suppose -4 = 2*h, 2*t + 5*h - v - 56 = 0. Does 12 divide t?
False
Let w(f) = 7*f + 133. Let u be w(-19). Suppose 2*t = -2*c + 422 + 4, 2*t - c - 417 = u. Is t a multiple of 15?
True
Suppose q - 3*m = -3*q + 19, -2*q - m + 17 = 0. Suppose q*x - 2*x + 589 = 2*b, -5*b + 5*x = -1510. Does 9 divide b?
False
Let z(i) = 78*i - 197. Suppose a - 16 = -3*k, 4*a + 5*k - 72 = -22. Is 11 a factor of z(a)?
True
Let c = 63525 - 11451. Does 304 divide c?
False
Let l be ((-33)/22)/(1/2) - -9. Let v(r) = -r**2 + 3*r + 8. Let k be v(l). Let g = k + 13. Does 2 divide g?
False
Let x(t) = -1441*t**3 + t**2 + 3*t + 3. Let r be x(-1). Suppose 5*a + 5*h = 1460, -r = -5*a - 2*h + 3*h. Let j = a + -190. Is j a multiple of 23?
False
Let i(p) = 4*p**3 + 7*p**2 - 11*p - 20. Is 28 a factor of i(5)?
False
Let o be (0 - 0)/((2 + 4)/(-6)). Suppose -5*s - 3*w + 10 = 0, 25 = -s + 4*s - 2*w. Suppose s*y - 257 - 578 = o. Is 30 a factor of y?
False
Let u(c) = 7005*c - 1603. Does 59 divide u(1)?
False
Is 7 a factor of (-1)/4 - (29 - 31)/((-8)/(-11369))?
True
Let w(n) = -2*n. Let o(l) = 61*l + 69. Let s(v) = -o(v) - 6*w(v). Is s(-3) a multiple of 39?
True
Let z(f) = -35*f + 26. Let m(l) = 37*l - 26. Let i(o) = -6*m(o) - 7*z(o). Is i(7) a multiple of 5?
True
Suppose 0*z - 3*z - 1055 = 5*d, -3*d - 657 = -3*z. Let m = 368 + d. Does 22 divide m?
True
Let x(u) = u**2 - 11*u - 6. Let a be x(11). Let l(m) = 2*m**2 + 9*m - 23. Let t(y) = -y**2 - 5*y + 11. Let j(i) = 3*l(i) + 5*t(i). Does 2 divide j(a)?
True
Let l = 10551 + -6014. Does 16 divide l?
False
Let k be (-43)/(-4) - 95/(-76). Suppose 0 = -5*c + c + 16. Suppose -n = -k - c. Does 3 divide n?
False
Suppose -2*z = -3*p + 139, 4*p - 90 = 4*z + 98. Suppose -88 = 7*x + p. Is 16 a factor of (-1)/4*(x - 601)?
False
Suppose -12*i + 7697 - 1445 = 0. Is i a multiple of 20?
False
Let g be 5920/(-32)*4/10. Let r = g - -109. Suppose 0 = r*a - 34*a - 90. Is a a multiple of 15?
True
Let h = 720 - 447. Suppose -h = x - 1351. Is 54 a factor of x?
False
Let q(g) = 921*g**3 - 24*g**2 + 23*g. Does 4 divide q(1)?
True
Suppose -3*p - 29 = -308. Suppose 4*x = -k + 7 + 11, 0 = x - 4*k - 13. Suppose x*b - p + 13 = -5*t, 3*t + 6 = 0. Does 9 divide b?
True
Let h(p) = 937*p - 148. Is h(3) a multiple of 58?
False
Is -1*(-5 - (-21934)/(-11)) a multiple of 17?
False
Suppose 3*f + 7 = 4*o, 0 = -13*f + 10*f - o - 2. Is 35 a factor of 1 - (-138 + 8)/(f/(-5))?
False
Suppose -5*m + 2986 = -d, -3*m = m + 3*d - 2404. Suppose 0 = -f - z + m, f - z - 2387 = -3*f. Does 22 divide f?
False
Let r be -8 + (4/(-12) - 7/(-3)). Let o be r/2 - (-1248)/2. Let k = o - 405. Does 27 divide k?
True
Suppose 0 = -14*f + 5172 + 428. Is f a multiple of 4?
True
Let y = -514 - -2142. Is y a multiple of 37?
True
Suppose -15*w - 8525 = -38945. Is w even?
True
Let c(u) be the third derivative of -u**4/12 - 25*u**3/6 + u**2. Suppose -115*s - 811 - 1109 = 5*s. Is 2 a factor of c(s)?
False
Let g = 457 - 513. Let p = g + 251. Is p a multiple of 39?
True
Let t(w) = 6*w + 34. Let x be t(-6). Let s be (-1 + x)*(-4)/6. Suppose i + s*i - 351 = 0. Is 13 a factor of i?
True
Let l(s) = s**2 + s - 36. Let x be l(5). Is 20 a factor of 172*30/25 + x/(-10)?
False
Suppose -2*p = 4*m - 360, -192 + 903 = 4*p + 5*m. Is p a multiple of 6?
True
Suppose 9 = 3*d - 0. Let x(a) = -16*a + 0*a**d + 0*a**3 - 20 - a**3 - 8*a**2. Does 15 divide x(-8)?
False
Let x be ((-16)/(-4))/(6/(-15)). Let w be ((-24)/x)/((-42)/(-5565)). Suppose g + 2*g = w. Does 15 divide g?
False
Let a(x) be the second derivative of 21*x**5/5 + x**4/6 + 10*x + 1. Is a(2) a multiple of 17?
True
Let g be (0 + -1)*((-6 - -21) + -5). Let x = 15 + g. Suppose 342 = -x*s + 902. Does 33 divide s?
False
Is 19 a factor of ((-2896)/2)/((-4)/38)?
True
Let i = -2936 + 3068. Is 22 a factor of i?
True
Let z(m) = -3*m - 5. Let l be z(-5). Let r be (0 - -3) + (0 - 1)*l. Is 2 a factor of (-2 - r/2)/(6/44)?
False
Suppose q + 19 + 49 = -4*a, 5*a + 2*q + 82 = 0. Suppose 4*h + 12 = 112. Let y = h + a. Is y a multiple of 7?
True
Let l be (-14 - -18)*15/(-6). Let i(n) = -34*n - 63. Is 26 a factor of i(l)?
False
Suppose -271 = -8*i + 1161. Suppose -5*b = v - 172 - 163, 0 = -3*b - 5*v + i. Does 6 divide b?
False
Is (3 + -11 + -5)/(30/(-111870)) a multiple of 13?
True
Suppose -35*s + 19*s - 16 = 0. Is 40 a factor of (-1750)/(-7) + (-2)/s?
False
Suppose -3*s + 83 = -n, 2*s = 3*n + n + 42. Let b = 354 + s. Is b a multiple of 12?
False
Let u = -81 + 90. Suppose -u*t = 1527 - 3642. Is 17 a factor of 30/(-20)*(-1 - t/3)?
True
Let n(z) = -3*z**2 + 4*z - 3. Let s be n(2). Let k be 2/(3/(-3)) + (s - -434). Suppose -6*a = -k - 55. Is 10 a factor of a?
True
Let k(i) = 22*i**3 + i**2 - 4*i + 19. Suppose 2*h + 2*w - 3 = 3*w, h = -2*w + 9. Is k(h) a multiple of 61?
True
Let v(s) = -47*s - 16. Let c(j) = 6 - 2 + 13 + 46*j. Let h(i) = 6*c(i) + 7*v(i). Does 17 divide h(-3)?
False
Let i = 3690 - -6753. Is i a multiple of 59?
True
Let l = -86 - -91. Suppose l*d - 40 = 10*d. Is (14/d)/(2/(-104)) a multiple of 11?
False
Suppose 0 = 4*n - n - 5*u - 15, -3 = 3*n + u. Suppose 7*b = -3*g + 5*b + 2057, -g - 4*b + 699 = n. Does 12 divide g?
False
Let s = 26136 + -18216. Is s a multiple of 18?
True
Let d be (-108)/(-11) + (-10)/(-55). Suppose -5*f = 5*a + d, -3*f + 0*f + 14 = -a. Is 72 - (1 + (f - 0)) a multiple of 30?
False
Let r(a) = a**3 + 16*a**2 + 17*a + 35. Let l be r(-15). Suppose 2*c - l*h = -7*h + 228, 3*c - h - 342 = 0. Let b = 136 - c. Does 4 divide b?
False
Let f(l) = -l**3 - 4*l**2 + 33*l - 24. Suppose -129*v = -118*v + 121. Does 46 divide f(v)?
True
Suppose -4*k - 5*a + 22 = 0, -3*k + 4*k - a = 1. Suppose -2*n = -2*z + 128, -4*n - 121 = -k*z + 76. Let q = z - 47. Is q a multiple of 6?
True
Let z = -574 + 970. Suppose 0*u + 3*k = 3*u + z, 5*u + 2*k + 681 = 0. Let i = u - -216. Is i a multiple of 9?
True
Suppose 0 = 4*w - 31 - 17. Suppose -w*z = -16*z - 240. Let c = -35 - z. Does 5 divide c?
True
Suppose 5*g - 4 = k + 6, g = -5*k + 28. Suppose 4*u - 12 = -v - g*v, u - 3*v = 3. Let f = u - -21. Is f a multiple of 6?
True
Let q = -241 + 2641. Is 12 a factor of q?
True
Let v be 3 + 4/12*6. Suppose v*h = -3*h + 2552. Suppose 212 = 2*i - 3*o, -i - 4*o = -4*i + h. Is i a multiple of 18?
False
Let z be (-1)/(-3)*6 + -41. Let o = 42 + z. Suppose -2*b - 2*b + 43 = t, -4*t - o*b + 120 = 0. Is 9 a factor of t?
True
Let s(t) = 29*t - 1110. Let r be s(54). Let z(i) = -i + 5. Let p be z(0). Suppose -p*o = -o - r. Is 19 a factor of o?
True
Suppose 4*k = -4*s + 26496, 5*k + 10*s - 33126 = 3*s. Is k a multiple of 33?
False
Let l(a) = -a**3 - 14*a**2 - 35*a + 11. Let z be l(-11). Let d = z - -75. Is d a multiple of 9?
True
Let h = 665 + 4072. Is h a multiple of 9?
False
Does 108 divide ((2 + -3)*1/(-1))/(3/27744)?
False
Let a = -27 + 29. Suppose 747 + 1411 = a*g. Suppose 11*h - g = -155. Is h a multiple of 28?
True
Suppose 47596 = 32*c - 69492. Is c a multiple of 109?
False
Let p = -19 - 27. Let q = p + 46. Suppose 2*a - 5*j - 319 = 0, 2*a + 3*j = -q*j + 279. Is a a multiple of 21?
True
Let z(j) = -1164*j + 128. Does 115 divide z(-1)?
False
Let f = 24865 + -13141. Is 76 a factor of f?
False
Let x(a) = -8019*a + 92. Let m(i) = -2673*i + 31. Let b(d) = 7*m(d) - 2*x(d). Let w be b(-7). Does 17 divide w/96 - 10/8?
False
Let h = 305 + -52. Suppose 0 = -3*w + 823 - h. Does 38 divide w?
True
Suppose 0*f - 47807 - 46950 = -37*f. Does 13 divide f?
True
Let s(n) = 3126*n**3 - 296*n + 297. Does 74 divide s(1)?
False
Let n(i) = -i**2 - 14*i + 5. Let z be n(-13). Let p(r) = 22 - 4*r + z - 47. Is p(-4) a multiple of 3?
True
Let j = 28601 - 9108. Does 29 divide j?
False
Suppose -5*o = 2*m - 2, 16*o - 21*o - 3*m + 3 = 0. Let a(k) = -k**3 - 2*k + 263. Does 43 divide a(o)?
False
Let c(g) = g**2 - 31*g - 931. Does 31 divide c(-61)?
True
Let j(y) be the first derivative of -23*y**2/2 + 45*y + 90. D
|
{
"pile_set_name": "DM Mathematics"
}
|
-6. Let x(a) = a**3 - 7*a**2 - 5*a + 8. Let g be x(s). Let b = g - 58. Is b composite?
False
Suppose 2347 = 8*i - 6189. Let v = i + -204. Is v prime?
True
Suppose 0 = -9*t + 11*t + 4*g - 8074, -4*g = -5*t + 20241. Is t composite?
True
Suppose 30 = 3*j - 3*q, -3*q + 14 = 3*j - 22. Suppose 6 = -2*o, 3*o + 2*o = -2*r - j. Suppose r*h - 786 - 1312 = 0. Is h a prime number?
True
Suppose -4*w + 2 = -5*w. Let j be (-3 - w)/(5/6775). Let c = 2064 + j. Is c a composite number?
False
Suppose 6*v + 3*r = 4*v, -v - 1 = 2*r. Suppose 0 = b - v + 1. Suppose d - 2*y - 85 = b*y, 3*y = -3*d + 195. Is d a prime number?
False
Suppose 5*y - 2 = 28. Suppose 4*j + 2018 = y*j. Is j a prime number?
True
Let a(y) = y**2 + 8*y - 7. Let q be a(-9). Suppose 4*v - 3935 = g + q*g, 0 = -2*v - 4*g + 1962. Is v composite?
False
Is 1/((-7)/(-387038)) - (-15)/(-105) a prime number?
True
Let v be 43 + 1 + (0 - 1). Suppose -4*f + 98 = 18. Let y = v - f. Is y a prime number?
True
Let j(c) = -2*c**3 + 2*c**2 - 4*c - 5. Let t be j(-2). Suppose -3*w + 31 = p, -2*p + 31 = 4*w - t. Is p a prime number?
False
Suppose -3*d = -6*d + 9, 3*y - 2*d = 3255. Is y prime?
True
Let y(z) = 18*z + 15. Let c be y(-5). Is 2769/5 - (-60)/c a prime number?
False
Let k(r) = -21*r + 14. Let z(h) = h**3 + 8*h**2 + h - 1. Let o be z(-8). Is k(o) prime?
False
Let m be 2*(-3)/(-2) + 1. Suppose -m*u + 89 = 2*w - 1101, -5*w = -3*u - 2923. Is w prime?
True
Let c = 500 - 323. Is c a composite number?
True
Let r(z) = 806*z - 1. Suppose -2*b + 2 = -0. Let s be r(b). Suppose -3*i - 2*i = -s. Is i prime?
False
Let j(b) = 6*b**2 - 8*b + 11. Let k be j(-5). Let v = k - -706. Is v a prime number?
True
Is 11 + -9 + (-6721)/(-11) prime?
True
Let s(m) = -95*m - 106. Let b be s(-32). Suppose -4*z - b = -2*v, -3*v + 2*v + 1481 = 5*z. Is v a composite number?
False
Suppose 0 = 5*t - d + 6*d - 52810, 4*d = -t + 10571. Is t a composite number?
False
Let d be 67/((-720)/722 - (5 + -6)). Suppose -3*b - 5*h = -24182, -b + 4*h = -4*b + d. Is b prime?
True
Let u = 80612 + 15257. Is u prime?
True
Let k(a) = 12*a**2 - 5*a - 9. Let r = -14 - -8. Let j be k(r). Suppose 2*i - j = -2*b - 3*b, -b = 2*i - 97. Is b prime?
True
Is ((-391194)/72)/(2/(-8)) composite?
True
Let k(a) = -a. Let w(r) = 2*r - 1. Let g(p) = -5*k(p) - 2*w(p). Let x be g(-14). Is 1*(-4)/x*201 prime?
True
Suppose 9*p = 226395 - 58122. Is p prime?
False
Let r be 2/(-7) - 182/49. Let l be (-15)/(20/4) + 6. Is l + (-68)/r*26 composite?
True
Let p = -223 - -525. Suppose -2*r = 5*o - 1229, 592 = -0*r + r - 5*o. Suppose r = 2*g + 3*w, -4*w + 7*w - p = -g. Is g composite?
True
Is 41014/((8/(-12))/((-3)/9)) prime?
True
Let p = 4262 + 1337. Is p a prime number?
False
Let o be (12/10)/((-8)/(-20) - 0). Suppose -11417 = -4*n - o*n. Is n a prime number?
False
Suppose 22842 = 8*f + 6050. Is f composite?
False
Suppose 2*v - 4*f - 67034 = 0, -6*f = -f - 10. Is v composite?
False
Let v(n) be the second derivative of n**5/20 - 2*n**4/3 + 7*n**3/6 + 3*n**2 + 5*n. Let p be v(6). Is (-4)/6 - 112/p a composite number?
True
Let s = -25913 - -50218. Suppose -5*h + h - 5*l + 19444 = 0, -2*l = -5*h + s. Is h composite?
False
Let z be -7746 + 1 + (6/(-3))/2. Is (-4)/6*z/4 prime?
True
Suppose p + 4*p = -50. Let j be (-4)/p - (-162)/45. Is 1045/7 + j/(-14) a composite number?
False
Let l(u) be the third derivative of -u**5/60 + u**4/4 - u**3 - u**2. Let k be l(4). Suppose -i - 3*o + 28 = -52, 0 = -k*i + 3*o + 187. Is i composite?
False
Let x(w) = -w**3 + 8*w**2 + 11*w - 4. Let p(k) = -7*k - 6. Let o be p(-5). Suppose -5*d + o + 16 = 0. Is x(d) a prime number?
False
Let p = -11123 + 20794. Is p prime?
False
Let v(f) = f**2 + 6*f - 16. Let i be v(-8). Suppose 3*h - 4*p - 1053 = i, 0 = 5*h + 2*p - 3*p - 1738. Is h a composite number?
False
Let b = -11349 + 29636. Is b composite?
False
Let h(q) = 2*q**3 + 5*q**2 + 10*q + 8. Is h(7) a prime number?
True
Let l be (-2 - 178)/((-36)/48). Suppose 4*n = 3*p + n - l, -166 = -2*p + 4*n. Is p a prime number?
False
Let b = 48946 - 22149. Is b composite?
True
Suppose 0 = 5*c - 16 + 6. Suppose -c*s + 2608 = 3*s + a, 3*s - 3*a - 1554 = 0. Is s composite?
False
Let p(l) = 2*l**3 - 14*l**2 + 29*l. Is p(7) a prime number?
False
Suppose 1 = 2*o - 11. Let t be ((-3)/o)/((-5)/(-10)). Is (12/24)/(t/(-212)) a prime number?
False
Let v(r) = 241*r**2 + 194*r - 9. Is v(-4) a prime number?
False
Let s(i) = -142*i + 126579. Is s(0) composite?
True
Suppose 3*f = 6 + 3. Suppose -q + 385 = f*n + n, 5*q + 4*n - 1877 = 0. Is q prime?
True
Suppose 1319 = 3*x - 334. Let v(n) = -n**3 + 4*n**2 + 12*n + 5. Let b be v(9). Let q = x + b. Is q composite?
True
Suppose -3 = 4*l + 5. Is l*(-1 + 34/(-4)) composite?
False
Suppose 19*k + 27518 = 106425. Is k prime?
True
Let y(g) = g**2 + g - 2. Let u be y(2). Suppose -15 = -v - u*j + 3*j, v + 2*j = 15. Suppose 845 = 20*w - v*w. Is w a prime number?
False
Let x(c) = c**3 - c**2 + c. Let d be x(0). Suppose n - 5 + 3 = d. Suppose 0 = g + t - 11, -n*g - 5*t + 22 = -0*g. Is g composite?
False
Let p(k) = 30*k**2 + 8*k + 1. Is p(-9) composite?
True
Suppose -2*y - 11169 = -46221. Suppose p + y = 5223. Is p/(-33) + (-4)/(-22) composite?
False
Let g(b) = -b**2 - b + 2. Let j(p) = -p**2 + 1. Let a(k) = -g(k) + 2*j(k). Let h be a(0). Suppose 2*q - 108 = -h*s + 2*s, q = -s + 62. Is q prime?
False
Let o(n) = -253*n - 4. Let p = 14 + -25. Is o(p) a prime number?
False
Suppose -8*s + 5*s + 15 = 0. Suppose -2*g - 12 = -s*g. Suppose -4*r = -4*u - 944, 0 = -3*r + g*u - 182 + 891. Is r composite?
True
Let y = -21307 + 41594. Is y composite?
False
Let n(r) = -2*r**2 + 6*r + 6. Let l be n(-4). Is 5/l*-5*694 prime?
True
Is 383529/10 - (30/6)/(-50) prime?
False
Let b be (-43 + 2)*(0 + 1). Suppose 6*v = 7*v - 124. Let o = v + b. Is o composite?
False
Let l = -13516 - -20007. Is l a prime number?
True
Let f = -26 - -29. Suppose -2*a - 575 = -3*n + f*a, -3*n = a - 551. Is n a composite number?
True
Suppose -3*n - m + 625 = 0, 8*m - 20 = 3*m. Let v = 296 - n. Is v a prime number?
True
Let g be -2 + 5 - (-1 + -1). Suppose g*v = 2*t + 2, 3*t - 2*v = t + 4. Suppose 0 = f + 2*i - 0 - 3, -3*f = -t*i - 29. Is f prime?
True
Let m = -621 - -437. Let w be ((-3)/(-2))/((-3)/m). Is (w*2)/4 + 1 a composite number?
False
Let f(t) = 5*t + 11. Let x(w) = -4*w - 10. Let g(n) = 3*f(n) + 4*x(n). Let h be g(-12). Suppose 0 = -o - 3, 0 = 2*i - 0*o - h*o - 421. Is i prime?
False
Let a(j) be the first derivative of -5*j + 13/2*j**2 - 3 + 4/3*j**3. Is a(6) prime?
False
Let g = -117 + 970. Is g a composite number?
False
Suppose 2*o = -o + 3. Is 401 + (1 - 2) + 2 + o composite?
True
Let s(r) = r**3 - 5*r**2 + 14*r + 9. Let p be s(10). Suppose -p = -6*t + 449. Is t composite?
True
Let o(y) = y**3 - 20*y**2 + 51*y - 41. Is o(21) a composite number?
False
Suppose 3 = 2*r - 1. Suppose 2*q - 8 = 0, 3*m + 0*q - 1409 = -r*q. Suppose -4*k = -2*p - 494, 0 = 3*k - 3*p + 92 - m. Is k a composite number?
True
Let j(n) = -n**2 + 17*n - 37. Let x be j(13). Suppose -3158 = x*r - 17*r. Is r a composite number?
False
Suppose -4 + 0 = -o + 3*h, 2*o - 10 = 5*h. Let p be o/(-25) + (-54)/(-10). Suppose -2*r + u + 608 = r, -p*u + 817 = 4*r. Is r a prime number?
False
Suppose -5*h - 24738 + 66293 = 0. Is h composite?
False
Suppose 4*o + 4*s = 5*o - 6703, s - 4 = 0. Is o prime?
True
Suppose 5*l + 4228 = 31163. Is l a prime number?
True
Let o(d) = d - 7. Let g be o(10). Suppose -g*k - 2*k = 4*z + 94, 2*k = -5*z - 126. Let j = z - -121. Is j a prime number?
False
Let w = 4475 - 1458. Is w prime?
False
Let a be (9/(-18))/((-1)/6). Is (0 + -614)*5*a/(-6) composite?
True
Let z = 436 + 8260. Suppose -3*g + 11*g = z. Is g prime?
True
Let j(i) = 16*i**3 - 7*i**2 + 4*i - 25. Let m be j(6). Suppose 4*l = 3*l + m. Is l a composite number?
False
Suppose 5*v = 25, 0*c + v + 19 = 3*c. Suppose -c*a + 5215 = -a. Is a a prime number?
False
Suppose -5*o - 5*n + 295 = 0, -o - 5*n = -0*n - 59. Let t(v) = -v**3 + 5*v**2 - 2*v. Let i be t(2). Suppose -2*a + 3*z = -a - o, -i = -2*z. Is a composite?
False
Let d = -23 - -26. Is (2 + 5)/(d/177) composite?
True
Let y = 91 - 88. Suppose 3*d - y*i - 996 = 0, -417 + 1443 = 3*d + 3*i. Is d a prime number?
True
Let i = 584 + -303. Let l = i - 163. Is l a composite number?
True
Let a = -42277 - -64
|
{
"pile_set_name": "DM Mathematics"
}
|
0865
Calculate -92 - 669577.57.
-669669.57
What is -0.1 + -33612327?
-33612327.1
-0.014 + -26861903
-26861903.014
Add together 4784 and -2385153.
-2380369
Add together 120117199 and 2.
120117201
What is 0.093 + -1038.99?
-1038.897
What is the difference between -316554403 and -12?
316554391
Total of 0.356174 and -436.
-435.643826
What is -12883529 take away 5?
-12883534
6 - -13392745
13392751
-0.6 + -9016813245
-9016813245.6
What is the distance between -41 and -48442?
48401
11111 + -11403
-292
Subtract -309 from -1707730.
-1707421
What is 0.3 plus -3366601?
-3366600.7
Work out -22107 - -162.
-21945
-42+-39077.74
-39119.74
What is 46934317 + -40?
46934277
What is -2450.6 minus 85749?
-88199.6
Add together -115 and -14853.
-14968
Calculate 0.73075764 + 4.
4.73075764
Put together 0.886 and -279495.
-279494.114
Total of 1437236.9 and -0.18.
1437236.72
Work out -2 - 636754.6.
-636756.6
Add -3 and -345707.15.
-345710.15
Put together -0.4689 and 11998993.
11998992.5311
-43430914 + 0.5
-43430913.5
Total of -0.02 and -640833431.
-640833431.02
Put together 0.0536 and 0.14964.
0.20324
What is the distance between 50573500322 and -0.2?
50573500322.2
What is 2.5 + 36953.8672?
36956.3672
What is -127 - -7011.241?
6884.241
-6410 - 276946.3
-283356.3
Put together -787.2845 and 4106.
3318.7155
What is 0.015834 - 2.949?
-2.933166
181467807 + -12
181467795
4 - 31862890.18
-31862886.18
What is -310679615 take away -1?
-310679614
Total of 2674928.3 and 0.28.
2674928.58
Put together 0.15 and 762.953.
763.103
What is 0.8 plus -14937291?
-14937290.2
Total of 0.5 and 23397701.
23397701.5
What is -2424453.3 take away 86?
-2424539.3
Add -0.0177 and -216081.
-216081.0177
Calculate 0.20296328 + -0.5.
-0.29703672
Add together 37.359349 and 0.08.
37.439349
-1983822 - 2.8
-1983824.8
What is -29 less than 115.96067?
144.96067
Add together 17590813 and -1.
17590812
What is the difference between -4343 and -0.3561?
4342.6439
What is -162.72 take away 0.75?
-163.47
What is the difference between 16930907 and 5?
16930902
631.065295 - 1
630.065295
Work out 429365.33 + -0.2.
429365.13
What is 0.053 minus 297584.5?
-297584.447
32549012474+0.5
32549012474.5
971.679+-239
732.679
Calculate -427494988 - 5.
-427494993
What is -708 - -286.613?
-421.387
-804987 + 36
-804951
Put together -15 and 71784577.2.
71784562.2
What is 579 minus 41057?
-40478
Add 0.2 and 9661292312.
9661292312.2
Add 52927 and -124.269.
52802.731
What is 3720 plus 117.55?
3837.55
Sum -4.50605437 and 0.51.
-3.99605437
-100 - -2.9039129
-97.0960871
What is -5 minus 238.834243?
-243.834243
Work out -0.0353 + 2.06161.
2.02631
Sum -370545377 and -0.3.
-370545377.3
What is -270718036 - 0.18?
-270718036.18
Work out 43.17 - -0.2017473.
43.3717473
What is 0.55667 take away -22.44?
22.99667
What is 3743717 + -110?
3743607
Calculate 4.063 + -285407.
-285402.937
What is the difference between 27048 and 50655?
23607
What is 4186 less than -13.457?
-4199.457
What is -0.175935 minus -11?
10.824065
What is -150.4 less than 572979?
573129.4
Work out -7723314 - 0.5.
-7723314.5
What is -0.5034565 plus -0.037?
-0.5404565
Work out -266.5 + -0.685041.
-267.185041
Add together 26 and -1.80738.
24.19262
What is -4 minus -253626461?
253626457
-190670.13 - -0.22
-190669.91
Calculate -4.586294 + -84.
-88.586294
Subtract -18232103 from 3.33.
18232106.33
What is the difference between 106438605 and -0.52?
106438605.52
What is the difference between 0.41758 and 72?
71.58242
Subtract 8 from 42.3557505.
34.3557505
What is the difference between -0.2 and -104.650448?
104.450448
Calculate 1515.62 - -19.88.
1535.5
Calculate -15113 + -0.2858.
-15113.2858
Calculate 7419958 + 25.
7419983
0.835 - -2243938
2243938.835
What is -24803 less than 4120?
28923
What is 0.2 take away 90671199?
-90671198.8
-633824+6
-633818
251422.2516 - -0.8
251423.0516
What is -0.08 less than -10689014?
-10689013.92
Work out -0.2 - -31241.28524.
31241.08524
-34728 - -0.941
-34727.059
Sum -5643 and 67140.
61497
What is -75.43 - -71692?
71616.57
Sum -11.3538 and -236.
-247.3538
Subtract -3078240 from 754.
3078994
Add together -83 and -23478.
-23561
What is 157 less than -0.1408158?
-157.1408158
Add 10454339153 and -5.
10454339148
What is -2 less than -853.98606?
-851.98606
Calculate 2 - 4.182372.
-2.182372
What is -400571.703 take away -0.2?
-400571.503
What is -0.5 less than -2145092.838?
-2145092.338
5 + -275426107
-275426102
Subtract -3452151 from -5.
3452146
Calculate 53306348 + -22.
53306326
-362.6079+-6.4
-369.0079
What is the distance between -89274 and -89406?
132
Work out 7323952588 + -3.
7323952585
What is the distance between 39.759362 and -2?
41.759362
Calculate -5.1 - -3712293.
3712287.9
Work out 4322.5429 - 0.51.
4322.0329
What is -30794182204 - 5?
-30794182209
What is -33119831 - -1.6?
-33119829.4
What is 0.007669 + 14.57?
14.577669
Total of 134.09727 and -0.959.
133.13827
Calculate -2329.06 + -19.
-2348.06
What is -7 take away -181422582.36?
181422575.36
Put together -139.671 and -991.
-1130.671
Subtract 2 from 11339489058.
11339489056
What is the distance between -0.596 and -61898?
61897.404
What is -913.2548 + -0.4?
-913.6548
What is -0.6 + 1705024?
1705023.4
Total of -41006 and -1.719.
-41007.719
What is -1691 take away 4013839?
-4015530
Work out 1 + 304.6706.
305.6706
Subtract -15.8 from -0.102672062.
15.697327938
-0.0585106 - -12
11.9414894
What is 2340.2 - 4927?
-2586.8
-5.89 + 0.76861
-5.12139
Sum 5842 and 331.48.
6173.48
What is -0.031 - -1531730992?
1531730991.969
Put together 24519 and 20.39.
24539.39
Sum -92381.9 and -0.518.
-92382.418
-55 - -7581853
7581798
Sum -11 and -6096387608.
-6096387619
What is -0.3 less than -1102755407?
-1102755406.7
Subtract -0.0459484 from 0.29.
0.3359484
What is 0.12818 + -6492.2?
-6492.07182
What is -0.089 - 169425065?
-169425065.089
Sum -14.27 and -148.2.
-162.47
19564873 - 2339
19562534
Calculate 69038 + 535.
69573
Work out -4.9 + -0.27351.
-5.17351
Work out -0.07 + 995091682.
995091681.93
Sum 300.38 and -1980.8.
-1680.42
Calculate -864.237 + 2.9182.
-861.3188
Calculate -8043854 - -178.
-8043676
Work out -360 - 15091.
-15451
0.84+9.0243299
9.8643299
What is -5187.6853 + 12.94?
-5174.7453
Sum -3 and 0.04553501666.
-2.95446498334
Calculate 0.10066 - 1791.
-1790.89934
What is -3.71 minus -56406.6?
56402.89
What is 0.15 less than 2742045196?
2742045195.85
What is 0.899728 - -21?
21.899728
Subtract -59732 from 1027404.
1087136
What is -334 less than -90071?
-89737
Work out -74 - 0.3468229.
-74.3468229
Work out -331 + -17.215252.
-348.215252
What is 0.018 + 85910626?
85910626.018
Add together 9 and -13.33527.
-4.33527
What is -272866 less than -430?
272436
Add -0.008 and -61.1610016.
-61.1690016
What is the difference between -28.5 and 505113?
505141.5
Put together 0.03581 and 16185.
16185.03581
Add together 1228 and 14.144882.
1242.144882
3 - -0.3357623803
3.3357623803
Work out -13591.914 + -2.
-13593.914
Work out -0.82403 - -198.7567.
197.93267
Add -16 and -4223.15.
-4239.15
What is 441 minus -50.89?
491.89
What is 21.08629 take away 0.1627?
20.92359
Add 17037.948637 and 5.
17042.948637
Calculate 6 - 4364.321.
-4358.321
Work out 5 - -12753793.
12753798
What is -355740.308 plus -180?
-355920.308
Work out 6.70199 + -20197.
-20190.29801
-528+-5639
-6167
Subtract 0.2 from -26875944.9.
-26875945.1
-4550707+-3.44
-4550710.44
What is -0.5 take away 229.51178?
-230.01178
Add together -517795 and 0.0991.
-517794.9009
Calculate -8.01 - -517255.
517246.99
Add together -13.7515429 and 3.
-10.7515429
What is -381 plus -1092.032?
-1473.032
What is -65312.7 less than -412?
64900.7
Work out -0.2 + 629.5675.
629.3675
0.8 - 0.1238891
0.6761109
What is 35542315 less than 78?
-35542237
Calculate -51989 + -292.
-52281
Work out -17671399 + -0.2.
-17671399.2
What is 0.5 take away -340.9583?
341.4583
Sum -5 and 335.3089.
330.3089
Add -0.7001 and -0.25234.
-0.95244
What is 109698201 + 5?
109698206
Work out -595.4 + -125.07.
-720.47
What is 29 - 21614534?
-21614505
What is -9753.2 minus -24973?
15219.8
Work out 52101.8622 + -66.
52035.8622
Put together -117042.175 and -7.
-117049.175
Calculate -85223223 - 3.1.
-85223226.1
What is the distance between 0.5 and 493721.8862?
493721.3862
570.03+0.0135
570.0435
10236.51 - 0.12
10236.39
What is -5 less t
|
{
"pile_set_name": "DM Mathematics"
}
|
Let q = 4 + -12. Is o(q) a multiple of 29?
False
Let g(t) be the first derivative of -5*t**2/2 + 14*t - 13. Does 20 divide g(-15)?
False
Let a(d) = -325*d - 14. Let h be a(-1). Suppose 10*b - h = 2929. Is 26 a factor of b?
False
Let l = -85 - -83. Is 58/87*(-351)/l a multiple of 13?
True
Suppose -3*w = 26 + 10. Let m = w + 81. Does 11 divide m?
False
Suppose 3*l + s - 36 = -2*s, 0 = -5*l - s + 40. Suppose l*n - 2420 = -4*n. Is 14 a factor of n?
False
Suppose -240*f + 242*f = 268. Is f a multiple of 8?
False
Let z = -1 - 5. Does 37 divide z/33 + (-6115)/(-55)?
True
Let j(p) = -40*p + 56. Is 6 a factor of j(-15)?
False
Let m be (-1)/(-6) - 1771/(-66). Suppose -g + 40 = m. Is g a multiple of 4?
False
Let c(m) be the first derivative of m**5/60 - m**3/6 - 7*m**2/2 + 2. Let d(i) be the second derivative of c(i). Does 14 divide d(5)?
False
Let r be 6/8*-1*4. Let l(b) = -b**3 - 15*b**2 - 45*b - 11. Let g be l(-11). Does 20 divide r - (-44 - (g + -1))?
True
Suppose -5*r = 5*j - 2125, 3*j + 19*r - 18*r = 1275. Is j even?
False
Let p = -1660 - -2366. Is 53 a factor of p?
False
Let r = 54 + -35. Suppose r*v = 14*v - 60. Does 5 divide -4 + 16/v*-12?
False
Let c(x) = -21 - 20*x + 9 + 16*x. Is c(-11) a multiple of 16?
True
Suppose 14*l + l - 540 = 0. Does 12 divide l?
True
Let l(u) = u + 8. Let j be l(-8). Let m(s) be the first derivative of s**3/3 - s**2/2 + 14*s + 1. Is 5 a factor of m(j)?
False
Suppose 0 = -16*n + 2977 + 4495. Is 41 a factor of n?
False
Suppose 5*u - 10 = 3*u. Suppose -4 = u*r - 39. Is r a multiple of 6?
False
Suppose -3*j + 12*j - 72 = 0. Does 23 divide (j/5)/(6/(-540)*-3)?
False
Suppose 29*b + 30 = 26*b. Let h(u) = -u**3 - 9*u**2 + 7*u + 6. Is 12 a factor of h(b)?
True
Let n be (-9)/3 + 188*-1. Let t = n - -282. Is 18 a factor of t?
False
Let v be (12/(-7))/((-4)/14). Suppose -f + 159 = -v. Suppose f = 5*z + 5*u, 3*u - 100 + 29 = -2*z. Is 7 a factor of z?
True
Let v(a) = 3*a**2 - 19*a - 850. Does 40 divide v(35)?
True
Let g(y) = 13*y**3 - 2*y**2 + 2*y - 3. Let b be g(3). Suppose -13*q + 16*q = 0. Suppose -4*v + b - 88 = q. Is v a multiple of 29?
False
Suppose 0 = p + 3*q - 11 - 2, -5*q = 5. Let v = 6 - 3. Suppose a + v*a = p. Is a even?
True
Suppose 16*i - 1095 = -3*u + 13*i, 25 = -5*i. Does 5 divide u?
True
Suppose 4*s + 7629 = -239. Is 23 a factor of 9/15 + s/(-5)?
False
Let s = -162 + 176. Is 3 a factor of s?
False
Let l(u) = 2 - 4*u - 2*u**3 - u**2 + 2*u + 4*u. Let z = 246 - 248. Is 2 a factor of l(z)?
True
Let w(b) = 40*b + 3. Let z be w(-4). Let i = -35 - z. Does 39 divide i?
False
Let s = 7 - 6. Let x = s - 35. Let w = x - -60. Is w a multiple of 13?
True
Let p = 828 + -826. Suppose -x = -2, -2*o + x + x - 2 = 0. Let k = p + o. Does 3 divide k?
True
Let r(z) = 7*z**2 + 5*z**2 + 3 - 6*z - 3*z**2. Is 17 a factor of r(-3)?
True
Suppose -3*w = 5*l - 965, 3*l - 4*w + 579 = 6*l. Does 8 divide l?
False
Suppose 1368 = -11*q + 14*q. Does 46 divide q?
False
Suppose -6*j = 2 - 14. Suppose -j*a + 31 + 9 = 0. Is 7 a factor of a?
False
Suppose -13*j - 7843 = -24*j. Is 31 a factor of j?
True
Is 37 a factor of (2888/(-28))/((-6)/168)?
False
Let l = -86 - -147. Suppose -2*q = -q - l. Does 23 divide q?
False
Let b = -667 - -1009. Is b a multiple of 18?
True
Suppose 14*f + 9838 = 32182. Does 42 divide f?
True
Let a(f) = -17*f + 1. Let o = 12 - 9. Suppose 5*l + 4*d - 1 = 2*l, -o*l = 3*d. Does 6 divide a(l)?
True
Suppose 89*y - 91*y + 4 = 0. Suppose 2*r - 448 = y*x, 0 = r + r + 3*x - 443. Is r a multiple of 16?
False
Suppose 18*l + 30*l = 42672. Is 17 a factor of l?
False
Let c(b) = b**3 - 10*b**2 - 10*b + 9. Let i(o) = -o**2 + o - 1. Let z(y) = -c(y) + i(y). Let p be z(10). Suppose p*s = 3*s - 72. Does 12 divide s?
True
Let u be 106/13 - (-40)/(-260). Does 14 divide 245/42*-33*u/(-10)?
True
Suppose -5*r + 24 = r. Does 3 divide (0/2 + -6)*(3 - r)?
True
Let s be (-6)/(-12)*(0 + 0). Suppose -4*a - 90 - 196 = -2*c, s = -2*a + 4. Suppose c = 11*z - 8*z. Is 20 a factor of z?
False
Let l be (3/9)/(3 + (-132)/45). Let y(r) = -3*r + 35. Is y(l) a multiple of 4?
True
Let l be ((-15)/(-9))/(2/6). Suppose l = 5*s - 0, -2*a - s + 1695 = 0. Does 4 divide (-4)/14 + a/49?
False
Suppose w - 191 = -u, -6*w + w + 3*u + 971 = 0. Let i = -97 + w. Is i a multiple of 12?
True
Let v(l) = -2*l + 5. Let c(g) = -g + 2. Let p(j) = 5*c(j) - 3*v(j). Let z be p(7). Suppose 3*f - 36 = z*f. Is 12 a factor of f?
True
Let y(c) = -c**3 + 7*c**2 - 6*c + 8. Let d be y(6). Let v = 105 - d. Suppose -2*n + 4*b + 27 = -n, 0 = 4*n - 5*b - v. Does 7 divide n?
False
Let l = -38 - -70. Let r = 562 - 515. Let c = r - l. Does 15 divide c?
True
Let j = 48 - 132. Let w = j - -201. Is w a multiple of 14?
False
Let x(m) = -41*m - 2 - m**2 + 9*m + 21*m. Let g be x(-9). Suppose g*t = 11*t + 200. Does 10 divide t?
True
Suppose -5*y + 2404 = f, -22*y - 4*f + 1456 = -19*y. Is y a multiple of 30?
True
Is ((-54)/24)/((-15)/1120) a multiple of 4?
True
Let v be ((-12)/(-4))/((-6)/(-32)). Suppose 0*q + v = 2*q. Suppose 2*u + 81 = 5*r, q = -0*u + 4*u. Is r a multiple of 4?
False
Does 58 divide (-1730)/(-2) - (6 - 11)?
True
Let o = 181 - 83. Is o a multiple of 20?
False
Let g be 107/(-4) + 21/28. Let b be (3*1)/(27 + g). Suppose -204 = -2*t - b*m, -t = 2*t + 2*m - 311. Is 21 a factor of t?
True
Let p be (-1382)/(-6) + (-8)/(-12). Suppose -9 = -4*t + p. Suppose 0 = -2*a - 2*a + t. Does 7 divide a?
False
Suppose -5*y - 165 = 3*u - 686, 4 = 2*u. Is 5 a factor of y?
False
Let d(u) = 4*u**2 - 14*u**2 - 2*u + 11*u**2 - 7 + 0. Is d(6) a multiple of 15?
False
Suppose -4*l + 32 = 4*p, 2*p = -2*l - 2*l + 22. Let m(s) = s**2 - s - 4. Let g be m(l). Let r = g - -4. Is r a multiple of 3?
True
Let l(u) = 88*u - 3. Let w be l(1). Suppose w = -k + 4*k + 4*g, 3*g + 37 = k. Is k a multiple of 17?
False
Let u(h) be the second derivative of -h**5/20 + 5*h**4/4 - 5*h**3/2 + 8*h**2 - h. Let q be u(14). Suppose -r + 195 = q*r. Is r a multiple of 18?
False
Suppose -3*m + 4*w + 17 = 0, -2*m + 1 = -5*m - 5*w. Suppose 2*f - 69 = -3*f + m*n, 81 = 5*f + 3*n. Is 5 a factor of f?
True
Let k(g) be the second derivative of -g**4/12 - 3*g**3/2 + 2*g**2 - 5*g. Let x be k(-9). Is 21 a factor of x/(-4) - (1 + -44)?
True
Suppose -3*m + 50 + 7 = 0. Suppose -4 + m = 5*z. Suppose 2*r - 63 = -8*q + z*q, 4*q + 25 = r. Is 6 a factor of r?
False
Let n(u) = u + 10. Let f be n(-5). Let z = -17 - f. Is 15 a factor of z/(1 + 12/(-8))?
False
Suppose 4*b - 4*a = -6*a + 240, 3*b - 180 = 5*a. Is b a multiple of 15?
True
Let c be (-5)/10 - 10/(-4). Suppose 3*h = c*g - 35 - 11, -29 = -g + 3*h. Suppose g = -3*j + 44. Is j a multiple of 9?
True
Let v(z) = z**3 + 13*z**2 + 4*z - 15. Let f be v(-11). Let y = f + -84. Suppose -3*t - y = -4*a - 6*t, a - 5*t - 19 = 0. Is a a multiple of 4?
True
Let r(d) = 2*d**2 + 22*d + 22. Let s be r(-9). Let b = s - -39. Is b a multiple of 5?
True
Let i(l) be the first derivative of 3*l**3 + l**2/2 - 3*l + 10. Is i(-2) a multiple of 20?
False
Let s be 216/(-7) + 4/(-28). Let b = s + 40. Is b a multiple of 6?
False
Let n(t) = t**2 + 9*t - 4. Is 9 a factor of n(-16)?
True
Suppose 0*z + 1152 = 2*z. Is z a multiple of 48?
True
Let s(w) = -2*w. Let i be s(-1). Let t be -1 + i + -1 + -3. Let c(a) = -a**3 + 3*a**2 - a + 2. Does 14 divide c(t)?
False
Suppose -5*c + 361 = 4*g, 82*g + 3*c - 179 = 80*g. Is g a multiple of 20?
False
Is 9 a factor of ((-124)/124)/((-1)/2818)?
False
Let s be 1*167 + (-7 + 2 - -2). Let l = s + -101. Is 5 a factor of l?
False
Let l(o) = 2*o - 17. Suppose 10*n - 25 = 9*n. Is l(n) a multiple of 6?
False
Let v(i) = -3 - 15 + i**2 + 3*i + 2*i. Does 8 divide v(5)?
True
Let y(l) = -l**3 - 8*l**2 + 10*l + 11. Suppose 0 = -2*p + 4*u - 38, -2 - 49 = 4*p - 3*u. Let k be y(p). Let g = k - -9. Is g a multiple of 4?
False
Let a(z) be the third derivative of z**6/120 + 3*z**5/20 - z**4/24 + 2*z**3 + 5*z**2. Is a(-9) a multiple of 7?
True
Suppose 0*f + 16830 = -6*f. Is 24 a factor of ((f/(-6))/(-5))/(2/(-4))?
False
Suppose -5*a + 1 - 262 = -4*o, -2*a + 5*o = 101. Let j = a + 206. Is 24 a factor of j?
False
Let i = 694 + -496. Is i a multiple of 9?
True
Let j be (3 + 1 - -166) + -3. Let h = 236 - j. Is h a multiple of 23?
True
Let u(z) = 30 - 5*z - 10*z + 23*z - 11*z. Is u(9) even?
False
Let g(h) = -12*h - 21. Let r be g(-2). I
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is the closest to 7 in -52, -3, 10?
10
What is the nearest to -136 in -2/15, 4, -3/2, -2?
-2
Which is the nearest to -3? (a) 0 (b) -2/11 (c) 1/11 (d) 0.65
b
What is the closest to 0 in -0.4, -32/41, 3/5, -7?
-0.4
Which is the closest to 0.2? (a) 19 (b) 0 (c) -4 (d) 4
b
Which is the closest to 3? (a) -1.615 (b) -3 (c) 5 (d) -2/11
c
What is the nearest to 0 in -93, -8, 1/2?
1/2
What is the closest to 4/7 in -0.035, 6, 3, -0.5, -4/5?
-0.035
Which is the closest to 21? (a) 2/3 (b) -10 (c) -9.1 (d) -2/9 (e) -1
a
Which is the closest to 2? (a) 2/9 (b) 0.1 (c) 14/29 (d) -0.2
c
What is the nearest to -0.2 in -0.421, -0.3, 3/2, 12?
-0.3
What is the closest to 8 in 3/4, -4, -11?
3/4
What is the closest to -3 in -0.4, -0.1, 4, 154?
-0.4
Which is the nearest to -2? (a) 1/4 (b) -5/7 (c) 6/13 (d) -0.1 (e) -2
e
What is the closest to -4 in 1, 521, 6/5?
1
Which is the closest to 3? (a) -0.1 (b) -173 (c) 0.06
c
What is the closest to 0.1 in 1, 4, 2, -41, 83?
1
What is the closest to 0 in -2, -1/7, 2/3, -28?
-1/7
Which is the closest to -18? (a) 0.9 (b) 1.25 (c) 0.3
c
Which is the nearest to 0.05? (a) -24 (b) 1/2 (c) 1 (d) 3
b
What is the closest to -0.1 in 0.4, -24522, -4, -2/5?
-2/5
Which is the closest to -64? (a) -2 (b) 1.14 (c) 0.2
a
What is the closest to 2/5 in 1/7, -2, 2/9, -16/13?
2/9
Which is the nearest to -1? (a) -0.4 (b) -1370/9 (c) 4 (d) 1/5
a
Which is the nearest to 0.8? (a) -23 (b) 4 (c) -20
b
Which is the closest to -1689? (a) -0.1 (b) -5 (c) 2
b
Which is the closest to 2? (a) -4 (b) -6 (c) -5/8
c
What is the nearest to 115/2 in -4, -12, 0.08, 2?
2
What is the closest to 2/7 in 1/4973, 3, 1/4, 4/5?
1/4
What is the nearest to -1/4 in -2/11, 1, -1/2, -2, 396?
-2/11
What is the closest to 0.202 in -1, 2, 1/4, -3?
1/4
Which is the nearest to 0.1? (a) 139 (b) 3 (c) -3.3
b
Which is the nearest to 0.13? (a) -35/4 (b) 0 (c) 1/3 (d) 17.9
b
Which is the nearest to 0.1? (a) 159 (b) -3 (c) 2/7 (d) 18
c
What is the closest to -1 in 1/3, -2/35, 406, 1/2?
-2/35
What is the closest to -47 in -0.1, 2/11, -8/535, 3/2, -1/8?
-1/8
Which is the nearest to -2/5? (a) 3 (b) -3 (c) 48.7
b
Which is the closest to 19898? (a) -1 (b) 1/3 (c) -0.02
b
What is the closest to -30 in -20, -0.1, -4?
-20
What is the nearest to 25 in 3/4, 13, -0.4, 0.14, -4?
13
What is the nearest to 0.1 in 1, -2/13, -0.1515, 1/3, -29?
1/3
What is the nearest to -1 in -5, 1/3, 1/6, -9.69?
1/6
What is the closest to -1 in -5141.1, -2, -1/2?
-1/2
What is the nearest to -2 in 2/9, -0.3, 10/39, -5, 4?
-0.3
What is the closest to -7 in -17, 1/2, -2/11, -2/89, -3?
-3
Which is the closest to -0.1? (a) -0.5 (b) -0.3 (c) 12.528 (d) -2/7
d
What is the closest to -5/2 in -4/5, -1/3, -2, 3/22?
-2
Which is the closest to -1? (a) 1 (b) 97/12 (c) 0.04
c
What is the closest to -2/5 in 0.01, -4, -17, -24?
0.01
Which is the nearest to 47? (a) 0.5 (b) -1 (c) -2/3 (d) -2/7
a
What is the nearest to 1/3 in -1, 1/4, 2/5, 1902?
2/5
Which is the closest to -8? (a) 82 (b) -0.5 (c) 2/75
b
What is the nearest to 1/4 in -5, -5.4, -0.8, 6?
-0.8
What is the nearest to 0.054 in 2105, 0.1, -2, 2/5?
0.1
Which is the closest to -2/3? (a) -2/7 (b) 2 (c) -17 (d) 1
a
What is the closest to 4/3 in -4, 0.1, 1, -3, -74?
1
Which is the nearest to -0.1? (a) -12 (b) 5/7 (c) -1 (d) 1 (e) -1/5
e
What is the nearest to -19 in -0.5, 0.2, -2, -0.1?
-2
Which is the nearest to -0.03? (a) 34 (b) 5 (c) -3/7 (d) -11 (e) 2
c
What is the closest to -747 in -5, -0.08, -0.17?
-5
Which is the closest to 1? (a) 36 (b) 0.4 (c) 609 (d) 2
b
Which is the closest to 1? (a) 2/3 (b) 1/2 (c) -3 (d) 17/4 (e) 0.01
a
What is the nearest to 0 in 10, -14/13, -196?
-14/13
What is the nearest to 0 in -9, 0.3, 4, 0.082?
0.082
What is the nearest to 6899/5 in -4, -3, 1/5?
1/5
What is the closest to 0 in 5, 1, -1205, 4/17?
4/17
Which is the nearest to 2/15? (a) 3 (b) 28/9 (c) -3 (d) 2.3 (e) 4
d
Which is the closest to -2/9? (a) 5 (b) 1 (c) -3 (d) -5/11
d
Which is the closest to 0.3? (a) -3 (b) 2 (c) -2 (d) -47.3
b
What is the closest to 1/9 in 3, 5, 108/5?
3
Which is the closest to -3? (a) 0.05 (b) 0.5 (c) 1.9 (d) -61
a
What is the nearest to 2/3 in 7, 2/13, -2, -409?
2/13
What is the nearest to 0.1 in 1, 1106.6, -0.4?
-0.4
Which is the closest to -2? (a) -4 (b) 1/177 (c) 14 (d) -0.3
d
What is the closest to 5/2 in 1, 0.5, -4/19?
1
What is the closest to -1 in 1/4, 0, -0.4, -8.2?
-0.4
Which is the nearest to -1/2? (a) -6 (b) 138 (c) -2
c
What is the closest to 396 in 2, 1, -2/17, -0.08, 3?
3
Which is the nearest to -1.3? (a) -3 (b) -5 (c) 0 (d) -7
c
What is the nearest to -1/3 in -281, 11, -15?
11
What is the nearest to -1.7 in 0.07, -0.1, 38?
-0.1
What is the closest to -1/3 in 0.3, 1/3, -7312, 4?
0.3
Which is the nearest to 7? (a) -2/3 (b) 5 (c) -30 (d) -7
b
What is the nearest to 0 in 1/700, 0.05, -11?
1/700
What is the closest to -1/2 in -2/15, -10, 1.014, -0.3?
-0.3
What is the closest to 1/5 in 0.4, 1/7, 5/457?
1/7
What is the nearest to 2/7 in -1/7, -0.2, 0.3, -2/11?
0.3
What is the closest to -6/5 in 20/7, 0.1, -3/4, 2/5?
-3/4
Which is the nearest to -51? (a) -4 (b) -0.1 (c) -0.0206
a
Which is the closest to -3? (a) 3/8 (b) 31 (c) 3/7 (d) 3 (e) 1/5
e
Which is the closest to -0.1? (a) 7 (b) 2/27 (c) -0.5 (d) -0.1 (e) 102
d
Which is the closest to 1/9? (a) 3 (b) 2/3615 (c) 0.3 (d) 2
b
Which is the nearest to 2? (a) 3/5 (b) -0.1 (c) -0.3172 (d) -0.7 (e) 0.5
a
What is the closest to -1/7 in -1/3, 2/5, -8?
-1/3
What is the nearest to -1/117 in -214, -2, 1/2?
1/2
What is the nearest to 666 in 1/8, -4, -1, -9?
1/8
What is the nearest to -0.1 in -3/3089, -2/3, 5?
-3/3089
What is the closest to 7 in 5/2, -1.9, 1/6?
5/2
Which is the closest to -819? (a) 3 (b) -13 (c) -5
b
Which is the closest to 0? (a) 1.72 (b) 1 (c) -123
b
Which is the nearest to 0? (a) -2 (b) 0.5 (c) -0.3 (d) -2/13
d
Which is the closest to -1/2? (a) 1/5 (b) 77 (c) 1 (d) -3 (e) 0.3
a
Which is the closest to -15? (a) -0.1 (b) 0.04 (c) -1/5 (d) 0.3 (e) -1/7
c
What is the closest to -1/4 in 0, 1/3, 1395, 1/5?
0
Which is the closest to 5? (a) -2 (b) 6/11 (c) 47 (d) -5 (e) 2/9
b
Which is the closest to 0.3? (a) 3 (b) -1299 (c) -5 (d) 2/3 (e) -4
d
Which is the closest to -2/7? (a) -0.1 (b) 0.3 (c) -3597/5
a
What is the nearest to 0.1 in -3, 1/193, 272?
1/193
Which is the closest to 0? (a) -4075 (b) 5 (c) 1
c
Which is the nearest to 0? (a) 0.2577 (b) -2 (c) 6/5
a
Which is the nearest to -170? (a) -44 (b) 10 (c) 0.5
a
Which is the nearest to 11825? (a) 0.03 (b) 0 (c) -1
a
What is the nearest to 0.8 in 0.4, -19, -3/56, 3/4?
3/4
What is the closest to 0 in -2, -32, 0.07, 1/4?
0.07
Which is the nearest to 0.07? (a) 0 (b) 1/39 (c) 511
b
What is the nearest to 0.1 in -0.4, 96, 4, 1/6?
1/6
Which is the nearest to 3/47? (a) -173 (b) 5 (c) 1/5
c
What is the closest to 1/5 in -0.54, 29, 2?
-0.54
What is the nearest to 314 in 1, 0.02, 2/13, 2?
2
Which is the closest to -1/2? (a) 2 (b) -78/23 (c) 9
a
Which is the nearest to 6? (a) 3/2 (b) -0.5 (c) 0.6 (d) -42
a
What is the nearest to 0 in -1/5, -11440, 0.1?
0.1
What is the nearest to 32439 in 0, -0.01, 3/7?
3/7
What is the closest to -1981 in 2/3, 2, -1/5, 1/3?
-1/5
What is the nearest to 2 in 0.7, 5, -17/7, 2?
2
Which is the closest to -0.09? (a) -2/15 (b) 5/7 (c) 4 (d) 1/7
a
What is the closest to -1.2 in 1/6, -19, -22?
1/6
What is the closest to -3 in -11, -961, -3/5?
-3/5
Which is the nearest to -1648? (a) -0.3 (b) 2/9 (c) 0.3
a
Which is the closest to -7? (a) -3 (b) 66 (c) 1/63
a
What is the nearest to 1/3 in -5, -3835, -5/4?
-5/4
Which is the closest to -4? (a) -3/13 (b) 0 (c) -2/15 (d) 0.3 (e) 24
a
What is the nearest to 0 in 2/31, 3, -0.38, -2/9?
2/31
What is the nearest to -4 in -4440, -1, -0.5, -1/4?
-1
What is the closest to 501 in -3, -14, 1/3, -18, 3?
3
What is the closest to 5/3 in 1/2, -21/271, -2/13?
1/2
What is the closest to 0 in -4, 1, -2, -1/4, -2/623?
-2/623
Which is the closest to 7/6? (a) 0.4 (b) 1/2 (c) -9.4
b
What is the nearest to 1.8 in -0.7, -2/9, -0.1, -2?
-0.1
What is the closest to 0.058 in -1/2, 4, -5, -
|
{
"pile_set_name": "DM Mathematics"
}
|
3*m + 2. Let o be n(3). Suppose p - 6*p = 0. Which is greater: o or p?
o
Let b(o) = -2*o**3 + 3*o - o**2 + 2*o**3 + o**3 - 2. Let r(c) = c**3 - c**2 + 4*c - 2. Let d(j) = 5*b(j) - 4*r(j). Let z be d(2). Is -2/13 at least z?
False
Suppose -2*x = -0*x - 16. Suppose 16 = -5*y + q, 2*y = -x*q + 3*q - 1. Which is smaller: -1 or y?
y
Let g(p) = p**2 + 10*p + 21. Let v be g(-7). Is 0 != v?
False
Let y be (-3)/(-9) - 5/6. Let g(x) = x + 6. Let t be g(-7). Is y greater than or equal to t?
True
Let d(n) = n**2 - 6*n + 1. Let j be d(6). Let s(b) = -2*b + 1. Let k be s(1). Let l = k + 1. Do l and j have the same value?
False
Let g(q) = -2*q + 2. Let o = -8 - -12. Let h be g(o). Is -6 greater than or equal to h?
True
Suppose -4*j - 15 = -3*j. Let f = j - -29/2. Is f < -0.07?
True
Let s be (4 + -3)/(1/77 - 0). Is s at most as big as 77?
True
Let h be 1/((-32)/12 - -3). Suppose -2*f - 4 = -h*f. Which is greater: 3 or f?
f
Let u = 138 - 80. Let r = u - 287/5. Is 2/7 <= r?
True
Let q(n) = 9 - 3*n - 4*n + n**2 + 3*n - 4*n. Let d be q(7). Suppose -h + 3*z = d, 0*h - 3*h = -5*z + 6. Which is smaller: h or -1?
h
Let i(a) = -a + 2. Let u be i(2). Let j be (-1*84/35)/(2*-1). Is u != j?
True
Let n = 0.907 + 0.093. Which is bigger: n or -0.03?
n
Suppose 9*y - 3*y = 0. Are y and 0 nonequal?
False
Suppose -4*x = 3*n + 11, -2*x - 7 = 3*n - 0*n. Let o be n - (3 + 0 + -3). Is o greater than or equal to 1/3?
False
Suppose 20 = k - 4*v, 4*k - 8*k + 15 = -3*v. Let o = -7 - k. Is o greater than -8?
True
Let t be 1 + -2 + (-5 - -4). Let d be t*(3 - (-68)/(-20)). Suppose 0 = -2*f - 0 + 2. Do d and f have the same value?
False
Let m = -116.1 + 116. Let b = 0.1 - 1.1. Which is greater: m or b?
m
Let y = -168 + 176. Which is smaller: -0.02 or y?
-0.02
Let t = 11.2 + -10. Which is bigger: 1 or t?
t
Let a(g) = g**3 - 3*g**2 - 2*g - 3. Let q be a(4). Suppose 10 = -q*f - 2*t, 2*f + 20 = -f - 4*t. Which is greater: 1 or f?
1
Let t = -5/21 + 4/7. Is -9 bigger than t?
False
Let h = -1.7 + 0.7. Is 82 less than or equal to h?
False
Let p = -135/278 + -2/139. Is -21 bigger than p?
False
Let p(v) = -v**3 + v**2. Let y be p(0). Which is greater: y or 3/7?
3/7
Suppose 3*v + 3*z = -2*v + 27, 4*v - 4*z = -4. Suppose 0 = -v*d - 3 - 0. Which is bigger: d or -3?
d
Let s be 57/(-190)*-2*(-4)/(-30). Are 1 and s equal?
False
Let c = 10 - 9.8. Let p = 6 + -4. Which is smaller: c or p?
c
Let y(c) = -2*c**2 - 8*c. Let a be y(-4). Is a > -2/5?
True
Let k = -0.1 + 0.11. Let q = 7/3 - 3. Are k and q unequal?
True
Let m(s) = -s**3 - 6*s**2 - 6*s - 3. Let q be m(-5). Is 7/12 < q?
True
Suppose -3*c = -109 + 70. Is c at most as big as -3/5?
False
Let k(y) = 2*y + 3. Let w be k(-2). Let r be (-74)/(-26) - (8 + -5). Is w at most as big as r?
True
Let x = 1/15 + 8/5. Let k(v) = v + 10. Let t(n) = -n - 10. Let b(s) = -2*k(s) - 3*t(s). Let r be b(-9). Which is smaller: r or x?
r
Let q be (-6)/24*48/(-26). Which is bigger: q or 1?
1
Let g be ((-210)/50)/(6/(-8)). Which is smaller: 5 or g?
5
Let q(v) = -v**2 - 4*v - v**2 + 1 - v**2 + 2*v**2. Let w be q(-4). Is 0 > w?
False
Suppose 3*p + 5*l = -71, -19 = -3*p + 4*p + 4*l. Is -27 greater than or equal to p?
True
Suppose -15 = -3*m, 0 = 5*h + 3*m - 6*m + 10. Suppose -2*f = -2 - 2. Suppose -f + h = -u. Is u < 0?
False
Suppose 0 = i - 2*i - 3, -j - i = 5. Suppose 2*k - 2 = -0*k. Let w = j + k. Which is smaller: w or 2/7?
w
Let g = -114 - -118. Suppose 2 = 2*h - 0. Which is smaller: g or h?
h
Let h(s) = s**2 - 1. Let x be h(1). Let w = x - -2. Suppose 1 = -3*m + w*m. Is 1 bigger than m?
True
Let m = 148 - 122. Which is smaller: 27 or m?
m
Suppose 2*a - 4*t = -12, -2*t + 13 = -4*a + 1. Let v be (a/2)/((-4)/(-4)). Let o be 32/12 + 1/v. Which is smaller: o or 1?
1
Let b(t) be the first derivative of -7*t + 1/2*t**2 - 1. Let g be b(8). Are g and 1 non-equal?
False
Let m = -57 - -54. Is m greater than or equal to -0.14?
False
Let a = 5 + 1. Suppose 2*y - 2*r = -a, -13 = 3*y - 5*r + 4. Which is bigger: -2/9 or y?
y
Let w be -1*4/4*-2. Suppose -4*s = 2*b - 4, 2*b + 3*b + 20 = 0. Are w and s unequal?
True
Let x = -2 + 3. Let z = -2472/23845 - 2/1255. Which is smaller: x or z?
z
Let w = 23/3 + -25/3. Let c = -0.13 + 0.33. Which is smaller: w or c?
w
Let i = -411/4 - -16859/164. Which is bigger: -2/5 or i?
i
Let q = 0 - 0.5. Let y = -0.5 + q. Let i = 0 + y. Are 1 and i nonequal?
True
Suppose 72 = -4*x + x. Let v = x - -503/21. Is -1 > v?
False
Let o = 7.5 - 6. Let t = -9 + 7. Let r = t + o. Is 1 at most r?
False
Let a = -9.02 - -0.92. Let o = a - -8. Is -1 > o?
False
Let o = 517/60 - 35/4. Let r be (2/2 + -2)/(-1). Which is bigger: o or r?
r
Suppose -6*t = -3*t. Suppose -2*l - 2 = -t. Do -3/4 and l have different values?
True
Let r = -1 + 1.2. Let w = -19 + -1. Let p = -20 - w. Is r less than p?
False
Let c = -14 - -53. Suppose -c = 3*o - 12. Do -8 and o have different values?
True
Let b be (2/18)/((-148)/24 - -5). Which is smaller: 1 or b?
b
Let p be (2/28)/((-2)/(-12)). Let c = 39/2 - 433/22. Which is greater: p or c?
p
Let t = -2/15 - 97/60. Let m = t - -2. Which is bigger: -2 or m?
m
Suppose -3*l = -v + 1, -5*v - 10 = -7*v - 2*l. Suppose -v*j = -j. Which is greater: j or 0.1?
0.1
Let k(j) = j**2 - j + 2. Let g be k(3). Let v be (-1)/(1 + (-22)/24). Let m be v/g*(-4)/6. Is m at most 1?
True
Let c be -1*(3 - (-10)/(-1)). Suppose 0 = 3*y + c - 4. Which is smaller: -4/13 or y?
y
Let l = 2 + -2.07. Let t = -763.93 - -767. Let d = l + t. Is 1 at least as big as d?
False
Let x = -0.5 - -7.5. Let q = x + -5. Let i = q + -2.4. Which is smaller: 1/4 or i?
i
Let v = 31 + -22. Suppose -2*k - 6 = -26. Which is bigger: v or k?
k
Let y(n) = n**3 - 5*n**2 - 5*n - 3. Let f be y(6). Suppose 4*g + f = -9. Let s be 2/6 - (-1)/g. Is 2 bigger than s?
True
Let m(s) = -4*s - 49. Let g be m(5). Which is bigger: -71 or g?
g
Let r(u) = 29*u + 4. Let i(g) = -7*g - 1. Let d(t) = 9*i(t) + 2*r(t). Let x be d(-1). Suppose h + x*h = -3*c + 5, c = 5. Is -2/3 > h?
True
Let n = -13 - -13. Are n and 8/7 unequal?
True
Let q = 55.8 - 56. Which is bigger: -8/3 or q?
q
Let b(q) = q - 8. Let a be b(7). Is -1/20 greater than a?
True
Suppose 4*w - 1 + 0 = -5*g, 15 = -5*g. Let q be 8/20 + w/(-10). Which is smaller: -4/13 or q?
-4/13
Let b be (-2)/((-2 - -6) + -1). Let r = 6 + -5.89. Let m = r - 0.21. Is m < b?
False
Suppose -r = -0*r + 3, 3*r + 18 = -3*j. Let g be j/2*3/(-18). Is g < 2/3?
True
Let m(f) be the first derivative of -f**4/4 + 4*f**3/3 + 2*f**2 + 7*f + 3. Let w be m(5). Which is smaller: 1 or w?
1
Suppose 3*m + 13 = a + 3*a, 3*m + 3*a - 15 = 0. Do -57 and m have different values?
True
Suppose -2*s + 3*n = 13, 9 = 4*s - 0*n + n. Let u be (-68)/24 - s/6. Is -3 bigger than u?
False
Suppose 31*r - 2 = 29*r. Which is smaller: r or -1/77?
-1/77
Let v(t) = t**3 + 3*t**2 - 5*t. Let y be v(-4). Suppose 3*m = y*n - n + 24, 2*n - 5*m = -16. Do -7 and n have different values?
True
Suppose 2*d - 3*g - 2 = -g, 2*g = -3*d + 18. Let u = 5 - d. Does u = 0?
False
Let z be ((-2)/(-1))/((-20)/70). Let g(s) = -s**3 - 7*s**2 + 8. Let o be g(z). Suppose -4*y + 10 = b, 2*y + 2*y = o. Are -1 and b equal?
False
Let m be (-6)/(-15) + (-66)/(-10). Suppose 2*n - m*n + 10 = 0. Suppose 6*t - 3*a - 8 = n*t, t + 5*a - 2 = 0. Is t <= 2?
True
Let v be ((-1 - -2)/1)/((-30)/(-12)). Is -20 equal to v?
False
Suppose 0 = 5*w - w + 16. Let j = w - -6. Is 3/5 smaller than j?
True
Let g be 4/6 - 46/(-3). Let m be 7/(42/g) - 2. Are 0.1 and m non-equal?
True
Suppose -5*u - 5*b - 25 = 0, -5*u = -3*b - b - 11. Let v(s) = -s**2 + 6*s + 2. Let w be v(6). Let k = u - w. Is -3 not equal to k?
False
Suppose -11 = -4*s - 3. Let a be -3*2*s/(-3). Let m(b) = b - 5. Let c be m(a). Do -1 and c have the same value?
True
Let i = 12 - 24. Let v be 6/9 - (12 - -1). Let j = v - i. Which is greater: j or -1?
j
Let i be (-28)/21*6/(-4). Let c(d) = d - 4. Let b be c(6). Suppose 5*u + b + 7 = i*s, -5*u = -s + 7. Is -1/2 at most u?
False
Let x = -8891/1316 + 2/329. Let g = x + 25/4. Suppose -5*i + 2*i - 5*b = 0, 4*b = 2*i. Which is smaller: i or g?
g
Suppose -5*h - 20 = -4*m, 2*h = 5*m - 2*m - 15. Which is bigger: 2/55 or h?
2/55
Let w = 4.99 - 5. Let v = w - 0.06. Is -2/3 <= v?
True
Let r be (-1 - -2)/(14/4). Suppose x + 21 = 4*o, 5*x + 5*o = x. Let z = x + 4. Which is sma
|
{
"pile_set_name": "DM Mathematics"
}
|
+ (-2)/3*174/(-464). What is the third smallest value in -8.9, s, 3?
3
Let h = -31/206 - -73/1854. Which is the second biggest value? (a) 0.5 (b) 600 (c) h
a
Let v = 0.514 + -1.045. Let l = 0.231 + v. Which is the biggest value? (a) l (b) -3 (c) 7
c
Suppose -35*m + 38*m = 3. Let q = 158 + -159. Which is the third smallest value? (a) q (b) 3/4 (c) m (d) -2/19
b
Let s = -149.657 + 0.657. Which is the second biggest value? (a) -14 (b) s (c) -0.3
a
Let q = 0.688 - 0.488. Suppose 4*i = 3*i. Suppose i = m + m - 8. What is the third biggest value in q, m, -2/7, 1/9?
1/9
Let m be 18/16*(-152)/114. Let x = -0.1 - 0.9. Let j = -42 + 37. What is the third smallest value in 2, m, x, j?
x
Let l be (22 + -19)*(-39 - (-24)/4). Which is the third biggest value? (a) l (b) 2/17 (c) 4
a
Let x = -4.65 - 92.35. Let o = -100 - x. Which is the third biggest value? (a) 0 (b) -0.3 (c) o
c
Let n be (9/(-3))/27 - 13/(-9). Let f = -4 - -1. Let g = 0.467 - 0.067. Which is the third biggest value? (a) f (b) g (c) n (d) -0.2
d
Let k = -37068 + 37052. Which is the second smallest value? (a) 0.5 (b) k (c) 5 (d) -1/3 (e) -6
e
Let z = -664.02 + 664. Let n = -24 - -119/5. What is the fourth smallest value in -10, z, n, -3?
z
Let g = 207/272 - 3/272. Let t be (-4)/36 - (-2)/(-9). What is the biggest value in g, 4, t?
4
Let o = 0.06732 - 0.56732. Which is the biggest value? (a) o (b) 2 (c) 5 (d) -0.12
c
Let s = -1996 + 2002. What is the second biggest value in -3/2, -1/4, s, 2?
2
Let b = 43106/11 - 3919. What is the biggest value in b, -1, -3.3, 2?
2
Let b = 1.476 + -1.511. What is the smallest value in b, -6, 5/3?
-6
Let r = -245/78 - -43/13. Which is the second biggest value? (a) -2 (b) -0.95 (c) 1 (d) -1/4 (e) r
e
Let s be 15 - 17 - -10 - -9. Let t = -5.4 + 5. Which is the smallest value? (a) 1 (b) s (c) t
c
Let n = -122 + 172. Let w = n - 33. Let z = 20 - w. What is the smallest value in -0.3, 0.02, z?
-0.3
Let x = -1040 + 1039.72. Which is the fourth biggest value? (a) x (b) 0.1 (c) -3/4 (d) -0.5 (e) -1
c
Let g = -10162/53 + 192. What is the biggest value in 1, g, -0.2?
1
Let o = -35.4557 + 35.44. What is the second smallest value in -0.2, o, -2/11?
-2/11
Suppose 0 = 19*m - 12*m - 119. Let u be 6/(-40) + (m/(-4) - -4). What is the fourth biggest value in 0.1, u, 4, -3?
-3
Let s = 21371 - 21088. Which is the biggest value? (a) -0.4 (b) 1/4 (c) -2/17 (d) -5 (e) s
e
Let y = 0.1075 - 0.3075. Let l = -3/34 + -25/102. What is the second biggest value in 5, 0.2, y, l?
0.2
Let v = -0.4395 - 1.5605. Suppose 7 = 4*g + 3. Suppose -13 + g = -4*s. What is the second smallest value in s, v, -2/35?
-2/35
Let j = 32.98 + -32.962. Which is the fifth smallest value? (a) 0.3 (b) -0.1 (c) 2 (d) j (e) -0.5
c
Let g = 0 - -0.1. Let p = -167 - -865. Let h = p + -696. Which is the second smallest value? (a) h (b) g (c) -3
b
Let b be (2212/237)/((0 - 3/9) + 13). What is the smallest value in 1, 0.2, b, 0?
0
Let m(v) = -3*v**3 - 132*v**2 + 22*v + 966. Let p be m(-44). Which is the third smallest value? (a) 2/15 (b) -1/3 (c) -4 (d) p
b
Let v be (60/(-27) + 2)*(8 + -11). Which is the fourth biggest value? (a) v (b) 3 (c) 1/2 (d) 0.17
d
Let r be (-1 - (-3)/5)/(12/15). Which is the fourth smallest value? (a) -4 (b) -0.4 (c) r (d) -1432
b
Let w = 7805/3 + -2603. Suppose 5*i = 21 + 4, 2*m + 5*i = 33. Which is the biggest value? (a) m (b) w (c) 0.12
a
Let p = -9057/6034 + 3/3017. Which is the second smallest value? (a) p (b) 42 (c) 6/7
c
Let x = 21.55 + 2.45. Let n = 25.4 - x. Which is the third smallest value? (a) n (b) -3 (c) -0.4
a
Let v = 0.347 + 82.653. Let w = -85 + v. What is the second biggest value in -4/3, 15, 0.3, w?
0.3
Let u = 30.59 - 30.09. What is the second biggest value in u, -1/5, -0.09, 0.4?
0.4
Let s = 5648 - 5667. What is the second biggest value in -4/5, -4/7, s, 0.4?
-4/7
Let y = -11 + 11.12. Let a = 0.02 - y. Let k be (2/14)/(6/18). What is the smallest value in -3/5, a, k, 3?
-3/5
Let z be 208/(-3)*3*(-9)/12. Let m = z - 157. What is the fourth smallest value in -2, m, 4, 2/7?
4
Let h = 3287 - 3287.1. What is the second smallest value in -1597, h, 5?
h
Suppose -75 + 73 = -2*k. Suppose -i + 3 = -k. Let t be -3*i/24*-10. What is the second biggest value in -4/9, t, -2, -1/4?
-1/4
Let v = 0.004 - -5.296. Let r = 6.9201 - -0.3799. Let i = v - r. What is the second biggest value in i, -1, -6, -0.2?
-1
Let u be 3 + (-51)/9 - (-145)/58. Which is the smallest value? (a) -0.3 (b) -2.16 (c) -4 (d) u
c
Let y = -13417/161 - -1920/23. What is the biggest value in 0.1, -3/5, y, -3/2?
y
Let n = 488.74 + -489. Let h = -0.56 - n. Suppose -l - l + 6 = -4*m, -25 = 5*m + l. Which is the second biggest value? (a) m (b) 2/57 (c) h
c
Let j = -4633 + 4618.4. Which is the biggest value? (a) -4 (b) j (c) -2
c
Suppose 5*k + 53 = -22. Let j be 9/k*(-30)/(-27). Which is the second smallest value? (a) j (b) 78 (c) 2
c
Let f(g) = 5*g - 105. Let n(l) = -20*l + 316. Let v(p) = 7*f(p) + 2*n(p). Let x be v(-20). Which is the biggest value? (a) x (b) -1 (c) 12
c
Let n = -966.4 + 1080. Let u = 114 - n. What is the second biggest value in -2, -47, -0.3, u?
-0.3
Let b = -614.65 - -613. Let z = b + 1.75. What is the biggest value in z, 1, 0.01?
1
Let l(f) = f**2 - 13*f - 100. Let y be l(18). What is the third smallest value in 3, 0.2, -5, y?
0.2
Let u = 3627 + -3627.19. Which is the third biggest value? (a) 9 (b) -3 (c) -0.1 (d) u
d
Let s be 2/9 - (-3)/108. Let o = 906 + -905.599. Let p = 0.401 - o. What is the third biggest value in 0.03, p, 0.3, s?
0.03
Let x = 2.6 + 21.4. Let p = 16 - x. Let r = -1/341 - 1015/2728. Which is the third biggest value? (a) -0.4 (b) 2 (c) p (d) r
a
Let u = 653 + -521. Let m be 1*-5*u/(-165). Which is the fourth smallest value? (a) 3/2 (b) 2/7 (c) 1/2 (d) m
d
Let m = 608.9 - 608.6. Let t(o) = -o**3 - 5*o**2 + 6*o - 2. Let d be t(-6). What is the second smallest value in -0.1, -3/31, d, m?
-0.1
Let d = 0.234 - -180.766. Let p = 181.5 - d. Which is the second biggest value? (a) -2/15 (b) p (c) -17
a
Let h(o) = -o**3 - o**2 + 2*o - 28. Let d be h(0). Let g = d - -43. Let j be ((-1)/14)/(g/120). Which is the second smallest value? (a) 0.3 (b) -0.1 (c) j
b
Let k = 6259/2 + -3129. Which is the second smallest value? (a) 141 (b) k (c) -3/2
b
Let l be -1 + (-1)/((-18)/22). Suppose 2*y = w + 73, -y - 3*w = -8*w - 50. Let p = -32 + y. Which is the third biggest value? (a) 9 (b) l (c) p
b
Let b = 0.12 - 0.09. Let g = 4.03 - b. Let y = -3.01 - -2.9. What is the third smallest value in y, g, -4?
g
Let f = 27 - 25. Let l = 346.74 + -346.7. Which is the fourth biggest value? (a) l (b) -1/5 (c) 0.4 (d) f
b
Let q = 0.08 + -10.08. Let r = 10.3 + q. Let t be (-3)/(-2) - (-78)/(-84). What is the second biggest value in t, -0.4, r?
r
Let c = 1794.5 - 1795. Let r = -413/3 + 136. What is the third smallest value in r, c, 0.7, 0.4?
0.4
Let t = 0.01863 - -4.98137. Let q be ((-6)/27)/(12/(-27)). What is the second smallest value in q, t, 0.2, 31?
q
Let u = 8446/7 - 13459/21. Let n = u - 566. Let l be (1 - 2)/((-2)/(-4)). Which is the biggest value? (a) l (b) -3 (c) n
c
Let u = 33.06 - 33. Let w = -12 + 8. Let c = 0.091 + -0.091. What is the third biggest value in w, u, c?
w
Let i = -16.57 + 16.37. Let a = 0.93 - 0.53. What is the second smallest value in -5/2, a, i, 3?
i
Let x = -2.97 - -3. Let p = 6.36 - -20.67. Let l = x - p. What is the second smallest value in l, -1, 1/4?
-1
Let s = -8765 - -8764. Which is the second smallest value? (a) 5 (b) s (c) 256 (d) 1
d
Let y be (-9)/(-21) + 570/(-840). Which is the fourth smallest value? (a) -2 (b) -5 (c) y (d) -1.3
c
Let j = 4848 + -4833. Which is the fifth biggest value? (a) 1 (b) 3 (c) -0.1 (d) 0.1 (e) j
c
Let p = -5.1 - -3.9. Let v = 2.3 + p. What is the biggest value in v, -1/2, -3/5?
v
Let y = -2072/47 - -10219/235. Which is the smallest value? (a) -4 (b) 1017 (c) y (d) 0.5 (e) 3
a
Let h(q) = -q**2 + 38*q + 3144. Let f be h(74). Which is the fourth smallest value? (a) 5/4 (b) 0.5 (c) f (d) -1
c
Let v be 48/(-70) + (-20)/(-50). What is the second biggest value in 0, 3, v, 5?
3
Let g be (1/(3 + (-28)/8))/7. Let j = 4.3
|
{
"pile_set_name": "DM Mathematics"
}
|
-44485.32 rounded to the nearest one thousand?
-44000
Round -1591.464 to the nearest 100.
-1600
What is 4.920206 rounded to 2 decimal places?
4.92
Round -31.4973 to the nearest ten.
-30
What is 0.00021533 rounded to 6 dps?
0.000215
Round 0.0000492535 to 5 dps.
0.00005
Round -38.61199 to the nearest 10.
-40
What is 0.03716764 rounded to 4 decimal places?
0.0372
What is -0.0001128316 rounded to seven dps?
-0.0001128
Round 0.0000333803 to 5 decimal places.
0.00003
Round -1915.83947 to 0 dps.
-1916
What is -0.010530997 rounded to five decimal places?
-0.01053
Round -85.0472 to the nearest integer.
-85
Round -0.0000242369 to six decimal places.
-0.000024
Round -695.5391 to the nearest 1000.
-1000
What is -0.00008618106 rounded to 5 decimal places?
-0.00009
Round 46391.9 to the nearest 10.
46390
What is 42.04918 rounded to 1 decimal place?
42
Round 1307609600 to the nearest 1000000.
1308000000
What is 0.350557 rounded to 2 decimal places?
0.35
Round -6243.1132 to the nearest one hundred.
-6200
What is -6786.89 rounded to the nearest 10?
-6790
Round 33175000 to the nearest 100000.
33200000
What is 4.362745 rounded to two dps?
4.36
What is -0.000000317824 rounded to seven dps?
-0.0000003
What is -320059100 rounded to the nearest 100000?
-320100000
Round 0.00216205 to 5 decimal places.
0.00216
Round -0.0295075 to three dps.
-0.03
What is 0.00001025583 rounded to seven decimal places?
0.0000103
What is 354713 rounded to the nearest one thousand?
355000
What is 0.6020777 rounded to three decimal places?
0.602
What is -0.00166850533 rounded to seven dps?
-0.0016685
Round -1928042 to the nearest 100000.
-1900000
What is -0.1073793 rounded to 3 decimal places?
-0.107
Round 0.00571268 to three decimal places.
0.006
Round 1675698300 to the nearest one million.
1676000000
Round 0.000239466 to four decimal places.
0.0002
What is 0.0000004883805 rounded to 7 dps?
0.0000005
What is -0.243266 rounded to 3 dps?
-0.243
Round -0.0275432 to 3 decimal places.
-0.028
Round 0.0426139 to four dps.
0.0426
Round 0.0008442561 to five decimal places.
0.00084
What is 0.00005224131 rounded to five decimal places?
0.00005
Round -510.9666 to one dp.
-511
What is -8844460 rounded to the nearest 100000?
-8800000
Round 279825100 to the nearest one hundred thousand.
279800000
Round -3.86228 to 1 dp.
-3.9
What is -0.0000760987 rounded to seven dps?
-0.0000761
What is 0.000402499 rounded to 4 dps?
0.0004
Round -5398171.6 to the nearest 100000.
-5400000
What is -2858495000 rounded to the nearest one million?
-2858000000
Round 116.689146 to the nearest 10.
120
What is 378.737 rounded to the nearest 10?
380
What is 0.00174213 rounded to four dps?
0.0017
What is 268756.62 rounded to the nearest one hundred?
268800
What is 84.65484 rounded to 2 decimal places?
84.65
What is 0.000798364 rounded to 6 dps?
0.000798
What is -191827.47 rounded to the nearest 10?
-191830
What is 6.347612 rounded to zero dps?
6
What is 0.0871539 rounded to two decimal places?
0.09
What is -910.28 rounded to the nearest 10?
-910
Round 30.888 to zero dps.
31
Round -0.00003373729 to seven dps.
-0.0000337
What is -1.2531565 rounded to three decimal places?
-1.253
What is -0.0980075 rounded to three decimal places?
-0.098
Round -0.001617403 to five decimal places.
-0.00162
What is 22650300 rounded to the nearest one million?
23000000
What is 0.003673418 rounded to 5 decimal places?
0.00367
Round 5.71176 to 1 decimal place.
5.7
Round 171258.718 to the nearest ten.
171260
Round 1.69643512 to 2 decimal places.
1.7
What is 0.8075684 rounded to two decimal places?
0.81
What is -0.0444704 rounded to three dps?
-0.044
What is 2362127 rounded to the nearest one million?
2000000
Round -7920.1 to the nearest 1000.
-8000
Round 0.0033535587 to 5 decimal places.
0.00335
Round -1.337749 to two decimal places.
-1.34
Round 0.000008936601 to six dps.
0.000009
Round 0.001228779 to 5 dps.
0.00123
What is 2983.617 rounded to the nearest 1000?
3000
Round -0.004210391 to 4 decimal places.
-0.0042
Round -0.9514567 to 3 dps.
-0.951
What is 0.000050185 rounded to 5 dps?
0.00005
Round 448189.5 to the nearest 1000.
448000
Round -0.249524 to 2 dps.
-0.25
What is -598.4788 rounded to the nearest 10?
-600
Round 0.02099972 to two decimal places.
0.02
Round -0.0292065 to 4 decimal places.
-0.0292
Round -36.436575 to 1 dp.
-36.4
Round -7774.25 to the nearest ten.
-7770
What is 0.01341275 rounded to three decimal places?
0.013
What is 301123.5 rounded to the nearest 10000?
300000
Round -0.0000761585 to 7 dps.
-0.0000762
What is 306.057 rounded to the nearest 10?
310
What is -9.128765 rounded to zero decimal places?
-9
What is -7.34296 rounded to one dp?
-7.3
Round 71.689 to 1 dp.
71.7
Round 0.00030459095 to five decimal places.
0.0003
What is 6046280 rounded to the nearest 10000?
6050000
Round -37868792 to the nearest one million.
-38000000
Round -30.7889 to 1 dp.
-30.8
Round -0.000183495 to four dps.
-0.0002
What is -0.00001321432 rounded to six dps?
-0.000013
What is -908449000 rounded to the nearest one million?
-908000000
What is -0.08995351 rounded to three dps?
-0.09
What is -3297.4844 rounded to the nearest 1000?
-3000
What is 3.916425 rounded to 2 decimal places?
3.92
What is 0.00000586214 rounded to 7 decimal places?
0.0000059
What is -45.993847 rounded to two decimal places?
-45.99
What is 0.0001051638 rounded to 7 decimal places?
0.0001052
What is -0.0000368165 rounded to 5 decimal places?
-0.00004
What is 130524 rounded to the nearest ten thousand?
130000
What is -1229.6649 rounded to the nearest integer?
-1230
What is -25178.46 rounded to the nearest 1000?
-25000
What is -335864 rounded to the nearest ten thousand?
-340000
What is 4.8239 rounded to one decimal place?
4.8
What is 88395700 rounded to the nearest 1000000?
88000000
What is 0.0000076843 rounded to seven decimal places?
0.0000077
Round 49763200 to the nearest 100000.
49800000
What is 43923.7 rounded to the nearest 10000?
40000
What is -3.041639 rounded to one decimal place?
-3
What is 0.000174595 rounded to 5 decimal places?
0.00017
Round -14850.14 to the nearest 10.
-14850
Round 13327150 to the nearest one million.
13000000
What is -0.0000712806 rounded to six decimal places?
-0.000071
Round 880142 to the nearest one thousand.
880000
What is 1181998.5 rounded to the nearest one thousand?
1182000
What is 0.00008175401 rounded to five dps?
0.00008
Round 126911600 to the nearest one million.
127000000
What is -28.57249 rounded to one dp?
-28.6
Round -0.0000061017 to 7 decimal places.
-0.0000061
What is -78918800 rounded to the nearest one million?
-79000000
Round -3.64446 to one decimal place.
-3.6
What is 0.00081141 rounded to 3 decimal places?
0.001
Round -0.1307 to three dps.
-0.131
Round 47.3338 to the nearest integer.
47
Round -2.1990138 to 3 decimal places.
-2.199
Round 27.04407 to the nearest 10.
30
Round 604225.2 to the nearest one hundred thousand.
600000
Round 393.778 to the nearest 100.
400
What is 11.662131 rounded to the nearest integer?
12
What is 0.0000636771 rounded to six decimal places?
0.000064
Round 0.00000035214835 to 7 dps.
0.0000004
What is -0.1330861 rounded to two decimal places?
-0.13
Round -2478441.5 to the nearest 1000.
-2478000
Round -53358.3 to the nearest one thousand.
-53000
Round -0.000237314 to 7 dps.
-0.0002373
Round 23.69777 to 2 decimal places.
23.7
What is -0.000051235746 rounded to 6 dps?
-0.000051
Round -0.24973502 to two dps.
-0.25
What is -0.3826811 rounded to 1 decimal place?
-0.4
Round 0.006649219 to 5 dps.
0.00665
What is 4787.916 rounded to the nearest one thousand?
5000
Round 2642.966 to the nearest ten.
2640
Round -0.006405 to 3 dps.
-0.006
Round -0.000005091993 to seven dps.
-0.0000051
What is -8.4221 rounded to the nearest 10?
-10
Round -201810.2 to the nearest one thousand.
-202000
What is -0.000000868407 rounded to seven decimal places?
-0.0000009
What is -0.000002517142 rounded to 7 decimal places?
-0.0000025
What is 0.009669383 rounded to four dps?
0.0097
What is -0.7212557 rounded to 2 dps?
-0.72
Round -86874 to the nearest one hundred thousand.
-100000
Round -0.00000447439 to 7 dps.
-0.0000045
Round 1040.7888 to the nearest ten.
1040
What is -0.000002519392 rounded to 7 dps?
-0.0000025
What is -3739030 rounded to the nea
|
{
"pile_set_name": "DM Mathematics"
}
|
) 2 (b) 1 (c) 4/9 (d) 5/4
d
Which is the smallest value? (a) -0.029 (b) 0.4 (c) -237
c
What is the fourth biggest value in -3, -6, -27, -1/3?
-27
What is the biggest value in -0.04, -1, 2?
2
Which is the second smallest value? (a) -171 (b) -2/7 (c) -3/2 (d) -2
d
Which is the smallest value? (a) 4 (b) 7 (c) -0.15
c
What is the smallest value in -4, -0.188, -1/3, -1/4?
-4
What is the third smallest value in -46, -2/7, -1, -4?
-1
Which is the fourth smallest value? (a) 0.1 (b) 0 (c) -3 (d) -0.1
a
Which is the third smallest value? (a) 4/3 (b) -2/7 (c) -68
a
Which is the fourth smallest value? (a) 1/3 (b) 2/15 (c) -16 (d) -0.2
a
What is the smallest value in -5, -13, -2, 0.3?
-13
What is the third smallest value in -3, -2/43, -7/4?
-2/43
What is the second biggest value in -0.4, -8/7, -0.08?
-0.4
What is the second biggest value in -0.3, 1, -2/115?
-2/115
What is the second smallest value in 2/19, 27, -3?
2/19
Which is the third biggest value? (a) 1 (b) -0.3 (c) -0.104 (d) -5 (e) 0.2
c
Which is the biggest value? (a) -5 (b) -7 (c) -2 (d) 5
d
What is the third smallest value in -2, 0.5, -19.8?
0.5
What is the smallest value in 3, 0.9, 2?
0.9
Which is the second biggest value? (a) -0.06 (b) 1 (c) 86
b
Which is the fourth smallest value? (a) 1 (b) 6 (c) 1/8 (d) -0.1
b
Which is the biggest value? (a) 1/82 (b) -1 (c) 1 (d) 0.4 (e) -2/9
c
What is the second biggest value in -18, -2/7, 6, 1?
1
What is the second biggest value in -3, 26, -15?
-3
What is the fourth biggest value in 2/7, -5, -2/9, -1/7?
-5
What is the third biggest value in -1/3, -507, -3/4?
-507
What is the fifth biggest value in 7, 1/5, -2/13, 0.3, -15?
-15
What is the second smallest value in 170, 0.07, 3/7?
3/7
What is the third biggest value in -5, -1/30, 2/29?
-5
Which is the third biggest value? (a) 0.1 (b) -0.5 (c) -10/117
b
What is the fifth smallest value in -5, 0.1, 1/7, -0.056, -2/9?
1/7
Which is the fourth biggest value? (a) 0.2 (b) -11 (c) -3 (d) -3/5 (e) -6
e
Which is the second biggest value? (a) -0.1 (b) -4 (c) 1/6 (d) 1 (e) 21
d
Which is the biggest value? (a) 2 (b) -3/7 (c) -5 (d) 2.78
d
Which is the third biggest value? (a) 2/17 (b) -0.5 (c) -30
c
What is the second biggest value in 2, 3, -177?
2
What is the fourth smallest value in 26, 0.8, 0, 0.5, -2?
0.8
What is the second biggest value in -2.9, -1/5, 8?
-1/5
What is the third smallest value in 1, -9, -0.04?
1
What is the smallest value in -4, 2, -3, 13?
-4
Which is the second smallest value? (a) 2 (b) -2/3 (c) 0.5
c
What is the third smallest value in -5/11, -19, -2/3, 3, 2?
-5/11
What is the biggest value in -0.4, -0.0013, 0.06?
0.06
What is the second smallest value in 3, 5, 0.024, -5?
0.024
What is the fifth smallest value in 0.9, -5, -1/2, 1/6, 2?
2
What is the third smallest value in -2/5, 18, 5?
18
Which is the second biggest value? (a) -5 (b) -110/9 (c) 2/3
a
What is the third biggest value in 2, -0.9, -5, 0, 5?
0
What is the fifth smallest value in -4, 0.3, -1/5, 0.13, 2.2?
2.2
What is the biggest value in -0.442, -5, 0.4?
0.4
What is the smallest value in 4, 1/2, 2?
1/2
What is the third smallest value in 4.2, 4, 2/7, -11?
4
Which is the fourth biggest value? (a) -5 (b) -25 (c) 3 (d) -0.4
b
What is the third smallest value in 1, -2/11, -4, 1/6, 35?
1/6
What is the second biggest value in 2/5, -51, 1/2, 2?
1/2
Which is the second biggest value? (a) -1.3 (b) 1/8 (c) -4 (d) -14 (e) 5
b
Which is the third smallest value? (a) 2 (b) -11 (c) -4 (d) -8
c
What is the fourth biggest value in 1, -5, 2/71, -0.1?
-5
What is the second biggest value in 95, -3/10, -8?
-3/10
Which is the third smallest value? (a) 2568 (b) -6 (c) 0
a
Which is the biggest value? (a) -0.5 (b) 0 (c) 6 (d) -1 (e) -13
c
Which is the biggest value? (a) 48 (b) -36 (c) -1
a
What is the second biggest value in -4, 13, 2?
2
Which is the fourth biggest value? (a) -1 (b) 5/3 (c) 23 (d) -2/23
a
What is the fourth biggest value in -235/3, 0.2, 4, 1/2?
-235/3
What is the second biggest value in 0.6, 0, -0.1, -0.4, 1?
0.6
Which is the smallest value? (a) -0.5 (b) -1.12 (c) 6
b
Which is the smallest value? (a) -3/2 (b) 0.9 (c) -0.2 (d) -3 (e) -1
d
What is the fourth smallest value in 1, -2/3, 21, 0.4?
21
What is the second smallest value in 8, -1/7, 0.06?
0.06
What is the biggest value in -3, -0.3, 0.7, 9?
9
Which is the smallest value? (a) 4 (b) 1/4 (c) -2 (d) -4
d
Which is the fifth biggest value? (a) 4 (b) -7 (c) 2 (d) 1.7 (e) 0
b
Which is the biggest value? (a) -0.2 (b) -1/4 (c) 15 (d) -2.1 (e) -7
c
What is the third smallest value in -2.2, -1, 6/11, -1/2, -0.2?
-1/2
What is the second smallest value in -0.28, -2, 5?
-0.28
What is the third smallest value in -4/7, 1/4, 4?
4
Which is the third biggest value? (a) 6 (b) 3/4 (c) 7
b
What is the second biggest value in 1/81, -1/28, 2?
1/81
What is the smallest value in -4, 2, 0.1, 36?
-4
Which is the smallest value? (a) 4 (b) 0.07 (c) 29 (d) 0.4
b
What is the fourth biggest value in 3/4, -0.1, -5, 0, -18/11?
-18/11
Which is the second biggest value? (a) -25 (b) 0.8 (c) 0.1 (d) -2
c
Which is the third biggest value? (a) -0.3 (b) -576 (c) 3/8
b
Which is the third smallest value? (a) -2/3 (b) -1/5 (c) -5 (d) 3.5
b
Which is the second smallest value? (a) -0.2 (b) -0.4 (c) 453
a
Which is the smallest value? (a) 3 (b) -6/25 (c) 0.2 (d) -2/7
d
Which is the fourth smallest value? (a) 2/7 (b) -2/13 (c) 2 (d) -0.08
c
What is the second biggest value in -24, 58.5, -2?
-2
What is the third biggest value in 5, -10, -259, 1, -2/3?
-2/3
Which is the second biggest value? (a) 178 (b) 1/3 (c) -0.5
b
Which is the biggest value? (a) -0.2 (b) 2/3 (c) 1/1114
b
Which is the third smallest value? (a) -4 (b) -3 (c) 2 (d) 3
c
What is the third biggest value in -3.2, -2/5, -3/2?
-3.2
Which is the second biggest value? (a) 3 (b) 848 (c) 0
a
Which is the third smallest value? (a) 5 (b) 2 (c) -2/3 (d) 0.3
b
Which is the biggest value? (a) -0.5 (b) -19 (c) -0.4
c
Which is the second smallest value? (a) -1 (b) -2 (c) -37
b
What is the second biggest value in -0.04, 0, 78, 3, -2/3?
3
Which is the fourth smallest value? (a) 1/4 (b) -4 (c) 4 (d) -41
c
What is the third smallest value in 0.4, 2, 3/20?
2
What is the biggest value in 5, 0, -10, -3?
5
What is the third smallest value in -3/7, 3, -16?
3
Which is the third smallest value? (a) 3 (b) -0.5 (c) 7 (d) -0.1 (e) 0.7
e
Which is the second smallest value? (a) -2/3 (b) 4 (c) 1/3
c
Which is the fourth biggest value? (a) 4 (b) 1/7 (c) -6 (d) 0.2
c
What is the biggest value in 1/9, -33, 3?
3
Which is the third smallest value? (a) -22 (b) 2 (c) -13 (d) -2
d
Which is the fifth smallest value? (a) 2 (b) -3 (c) -0.06 (d) -9 (e) -0.03
a
Which is the smallest value? (a) 1/8 (b) -0.4 (c) -3.71
c
Which is the second biggest value? (a) 0.1 (b) 15 (c) 2
c
Which is the fourth smallest value? (a) 0.041 (b) 2 (c) 1/3 (d) 3
d
Which is the smallest value? (a) -0.1 (b) -0.4 (c) 105
b
What is the second biggest value in -3, 4, 0.3, 2?
2
Which is the third smallest value? (a) 5 (b) 5/2 (c) 395 (d) -3
a
Which is the third smallest value? (a) 2/5 (b) -5 (c) -1/8 (d) 107
a
Which is the second biggest value? (a) 0 (b) 4 (c) 0.14 (d) 5
b
Which is the third biggest value? (a) -4 (b) -2.3 (c) -5/2 (d) 4 (e) 3/5
b
Which is the smallest value? (a) 2/15 (b) -0.2 (c) -3
c
What is the fourth biggest value in -5, 4/5, -5/6, 1?
-5
What is the smallest value in -0.4, -0.161, -1?
-1
Which is the second smallest value? (a) 0.2 (b) -0.4 (c) -0.01 (d) 0.4
c
What is the fourth smallest value in 10, -1/3, 1/2, -3?
10
Which is the smallest value? (a) 6/13 (b) -0.09 (c) 1
b
Which is the second biggest value? (a) -9 (b) -2/9 (c) 13
b
Which is the third smallest value? (a) -1/3 (b) 5/4 (c) -3
b
What is the biggest value in -0.4, -1/13, -1/12?
-1/13
What is the third smallest value in 2.3, 2/7, -9, 4?
2.3
Which is the smallest value? (a) -1/2 (b) -2/5 (c) -77
c
Which is the second smallest value? (a) -720 (b) -1 (c) -2 (d) -1/4
c
What is the second smallest value in 1/5, -1, -4/7, -0.3,
|
{
"pile_set_name": "DM Mathematics"
}
|
0 and 20140?
20
What is the highest common divisor of 81 and 1224747?
27
What is the greatest common factor of 26549 and 556?
139
What is the greatest common factor of 13575 and 4125?
75
Calculate the highest common divisor of 1122 and 506550.
66
What is the highest common divisor of 15120 and 10880?
80
Calculate the greatest common factor of 55 and 42875.
5
What is the greatest common factor of 5859675 and 54?
27
Calculate the highest common divisor of 10 and 145840.
10
Calculate the highest common divisor of 1816936 and 88.
88
Calculate the highest common divisor of 274155 and 245.
245
Calculate the highest common divisor of 11745 and 50315.
145
What is the highest common factor of 55455 and 60?
15
Calculate the greatest common divisor of 56 and 23324.
28
What is the greatest common factor of 244 and 14457?
61
What is the highest common divisor of 58765 and 730?
365
Calculate the greatest common divisor of 729 and 8361.
9
What is the highest common factor of 21 and 208019?
7
What is the greatest common divisor of 688 and 6440?
8
What is the highest common divisor of 321672 and 351?
39
Calculate the highest common divisor of 265140 and 120.
60
What is the highest common divisor of 26 and 109954?
26
Calculate the highest common factor of 8307 and 249849.
639
What is the highest common divisor of 5537 and 1130?
113
Calculate the greatest common divisor of 3609 and 8739.
9
What is the highest common divisor of 6456 and 1008?
24
Calculate the greatest common divisor of 32495 and 1340.
335
What is the greatest common divisor of 51688 and 8554?
182
Calculate the greatest common divisor of 70610 and 8740.
230
What is the highest common divisor of 70742 and 868?
434
Calculate the greatest common factor of 24222 and 561.
33
What is the greatest common factor of 2810 and 172534?
562
Calculate the greatest common divisor of 4034104 and 376.
376
Calculate the greatest common factor of 3590 and 162.
2
Calculate the highest common divisor of 6 and 3842214.
6
What is the greatest common divisor of 4230 and 11374?
94
Calculate the highest common factor of 60426 and 38.
2
What is the highest common factor of 8086 and 2?
2
What is the highest common divisor of 874 and 1978?
46
Calculate the highest common factor of 288 and 132024.
24
What is the greatest common factor of 717 and 4449463?
239
What is the highest common divisor of 6930 and 2036790?
630
What is the highest common divisor of 25011 and 252?
63
Calculate the greatest common factor of 187 and 4103.
11
What is the greatest common divisor of 306 and 17697?
51
What is the highest common factor of 389 and 2350727?
389
Calculate the highest common divisor of 14496 and 96.
96
Calculate the greatest common factor of 168 and 394968.
168
What is the greatest common factor of 923 and 4331?
71
Calculate the highest common factor of 8052 and 792.
132
Calculate the greatest common divisor of 603512 and 98.
14
What is the greatest common factor of 382 and 1565436?
382
What is the highest common factor of 517799 and 479?
479
What is the highest common factor of 48861 and 37881?
549
Calculate the highest common factor of 952 and 4886.
14
What is the greatest common factor of 6240 and 640?
160
Calculate the greatest common divisor of 1572 and 726657.
393
What is the greatest common factor of 32 and 100752?
16
Calculate the greatest common divisor of 58896 and 198.
18
What is the greatest common factor of 122 and 7104914?
122
What is the greatest common divisor of 476172 and 66?
6
Calculate the greatest common factor of 11840 and 895400.
1480
Calculate the greatest common factor of 18 and 17478.
18
Calculate the greatest common divisor of 6966 and 458982.
774
Calculate the greatest common divisor of 52 and 757172.
52
Calculate the highest common factor of 2792 and 344.
8
Calculate the greatest common factor of 8 and 12932264.
8
What is the greatest common divisor of 3340 and 63794?
334
What is the greatest common factor of 8981 and 56?
7
Calculate the greatest common divisor of 3051 and 4833.
27
Calculate the highest common divisor of 238 and 613312.
14
Calculate the highest common factor of 214 and 587751.
107
Calculate the greatest common divisor of 80595 and 510.
15
Calculate the greatest common factor of 2894160 and 20460.
1860
Calculate the highest common factor of 16815 and 5643.
57
What is the highest common factor of 7 and 22190?
7
Calculate the greatest common factor of 78 and 9132.
6
What is the greatest common factor of 58 and 113303?
29
Calculate the highest common divisor of 4577 and 1104.
23
What is the greatest common factor of 616 and 5358584?
616
What is the highest common factor of 559 and 13459?
43
What is the highest common factor of 530 and 4990?
10
Calculate the highest common divisor of 2205 and 7065.
45
Calculate the greatest common divisor of 4068 and 252.
36
What is the highest common factor of 459238 and 247?
13
Calculate the highest common factor of 308380 and 170.
170
Calculate the greatest common factor of 125 and 2.
1
What is the highest common factor of 9012 and 348?
12
What is the highest common factor of 508 and 332?
4
What is the highest common factor of 13320 and 9140?
20
What is the highest common factor of 135821 and 14?
7
Calculate the greatest common factor of 760 and 462460.
380
Calculate the greatest common factor of 425 and 158525.
425
Calculate the highest common factor of 50792 and 252.
28
What is the greatest common divisor of 13189 and 682?
11
What is the greatest common divisor of 160419 and 21?
21
What is the highest common factor of 938 and 10402?
14
Calculate the greatest common factor of 1298 and 198.
22
What is the highest common factor of 11134 and 23750?
38
What is the highest common factor of 170 and 19278?
34
What is the greatest common divisor of 5200 and 26650?
650
Calculate the greatest common factor of 104 and 298.
2
Calculate the greatest common divisor of 8397102 and 42.
42
What is the greatest common divisor of 473 and 1376?
43
What is the greatest common divisor of 734 and 373973?
367
What is the highest common divisor of 846 and 44462?
94
Calculate the highest common factor of 356 and 135369.
89
What is the highest common factor of 309 and 38522?
103
What is the highest common divisor of 273801 and 1122?
33
What is the highest common divisor of 6536 and 342?
38
What is the greatest common divisor of 124255 and 25?
5
Calculate the greatest common factor of 44928 and 56628.
468
What is the greatest common divisor of 5668 and 28885?
109
Calculate the greatest common factor of 36 and 111612.
12
Calculate the highest common divisor of 2466 and 40518.
18
What is the greatest common divisor of 507 and 31629?
39
Calculate the greatest common divisor of 376642 and 14.
14
Calculate the highest common factor of 2835 and 525.
105
What is the greatest common factor of 34720 and 3080?
280
What is the highest common divisor of 1008 and 242298?
126
Calculate the greatest common factor of 99 and 1536903.
9
What is the greatest common factor of 234 and 5493618?
234
Calculate the greatest common factor of 367385 and 5.
5
Calculate the highest common divisor of 303936 and 336.
48
Calculate the greatest common divisor of 3468 and 2568.
12
Calculate the highest common factor of 1029 and 11697672.
1029
What is the greatest common factor of 83252 and 52?
52
Calculate the greatest common factor of 2907 and 58786.
323
What is the greatest common factor of 24 and 32106?
6
What is the highest common factor of 75046 and 17113?
157
Calculate the highest common factor of 9224104 and 46.
46
What is the greatest common factor of 294 and 125454?
42
What is the highest common factor of 69111 and 315?
63
Calculate the highest common factor of 1044 and 65124.
36
What is the highest common factor of 4085 and 59565?
95
Calculate the greatest common factor of 378 and 10234.
14
Calculate the greatest common divisor of 161512 and 208.
104
What is the highest common divisor of 249431 and 91?
91
Calculate the greatest common factor of 1117 and 239.
1
Calculate the greatest common factor of 13646 and 94.
2
Calculate the greatest common factor of 32370 and 104.
26
Calculate the highest common divisor of 649 and 792.
11
What is the greatest common factor of 276 and 207276?
276
Calculate the hig
|
{
"pile_set_name": "DM Mathematics"
}
|
29135*d + 29137*d = 10. Solve 3*f = -d*q - 16, 2*q - 27 + 23 = 4*f for f.
-2
Suppose -108 = -19*d - 51. Solve 0 = 3*q - d*f - 6, 2*q = 3*f + 3 + 6 for q.
-3
Let q(i) = i + 4. Let d(l) = l + 9. Let z(u) = -3*d(u) + 5*q(u). Let b be z(5). Solve -4*x + 5 = 3*w, 2*w + x + 3 = -b*w for w.
-1
Suppose 0 = -x + 3*l + 8, x - 2 = 4*x + 4*l. Suppose 0 = -x*t - 2, -42*u + 5*t = -44*u - 1. Solve -11 = 5*m - f - u*f, -m = 5*f - 9 for m.
-1
Suppose -838*p = -831*p - 77. Solve -14*t + p*t - 7 = 5*u, 6 = -5*u - 4*t for u.
-2
Let g(y) = 7*y - 69. Let v be g(10). Let z be 8/v + -3 - 0. Suppose -l + z*l + 3*a = 53, 5*l - 110 = 5*a. Solve -w + 5*u + l = 0, 3*u = 4 - 13 for w.
2
Suppose 0 = 4*i - 3 - 5, -14 = -3*j - i. Suppose 4*x = 25 + 27. Suppose 2*u + 11 + 5 = 2*p, -2*p - 8 = 4*u. Solve -4*v = -5*d - x, -p*v + 6*v = -j*d for d.
-1
Let y(j) = 2*j**3 - 6*j**2 + 19*j - 13. Let r be y(5). Suppose 189*h - r*h = 14. Solve -4*q = -u - 0*u - 19, 5*u + h*q = -7 for u.
-3
Let y(r) = r**2 + 5*r - 4. Let o be y(-6). Let u(i) = 6*i + 336 - 326 - 4*i + 0*i. Let b be u(-5). Solve b = o*s - 4*h - 24, -h = -3*s + 16 for s.
4
Let q = -148 + 151. Suppose q = -4*l + 11. Solve l*c - 2*x - 12 = 0, 3*c = -0*c + 2*x + 16 for c.
4
Let a = -203 - -204. Let d be (a/(-2))/((-1 - -2)/(-6)). Solve d*l - 8*l - 5*h = -15, -3*l + 3*h - 21 = 0 for l.
-2
Suppose 4*d - 4 = 4. Let y = 1770 - 1770. Let c(l) = l**2 - 3*l. Let i be c(4). Solve y = -d*j - j - 4*p + 2, -i*p - 4 = 0 for j.
2
Suppose -40*a + 35*a - 510 = 0. Let s = 139 + -220. Let t = s - a. Solve 0 = u + 2, -8*q + 3*u + t = -3*q for q.
3
Let c(o) be the second derivative of -16*o**3/3 + 161*o**2/2 - 29*o + 2. Let t be c(5). Solve 5*d + 1 = -4*v, -3*d - v = -t + 3 for d.
-1
Let f(i) = 0 + i**2 - 6 + 18 + 13*i. Let u be f(-12). Solve u*g + 10 = -2*g + 4*k, -2*g + 2*k - 4 = 0 for g.
1
Let t = -942 - -945. Solve 0 = -t*m - 5*s - 9 + 1, -4 = 3*m + s for m.
-1
Let q be (-1180)/(-36) + 2/9. Solve 31*t + 5*u = q*t + 28, -4*t = -4*u + 20 for t.
1
Let a be 2/4*(5 - -1). Let d = -57 + 80. Suppose 3*u + 19 = 4*o + 2*u, -u - d = -5*o. Solve -4*q + 3*w = -11, a*q - 2*q + 7 = o*w for q.
5
Suppose j + 0 = -6. Let c(l) = -2*l - 7. Let y be c(j). Let f be (426250/651)/55 + ((-206)/42 - (-3 - 2)). Solve -y*q - 4*o - 2 = -14, f = 2*q + 4*o for q.
0
Suppose 1427*l = 1451*l - 240. Solve 4*z + 3*x - x = l, -4*z + x + 7 = 0 for z.
2
Suppose 59 - 51 = 5*x - q, 2*x - q - 2 = 0. Solve 3*t + 5*k + 8 = 2, -x*k = 0 for t.
-2
Let i(l) = -18*l + 240. Let t be i(13). Let o = 6 - t. Solve -3*v + 4*n + 14 = o, 5*n - 3*n = 3*v - 4 for v.
-2
Suppose 99 = 100*q - 1. Solve 4*b - 3 = -y - 7, b + q = -5*y for b.
-1
Let w = -46 + 31. Let k be 0 + 9/(-15) + (-39)/w. Solve -n - 17 = 5*y, 3*n - y = -k*y + 5 for n.
3
Let a = -20954 - -20954. Solve 4*h - 2*x - 14 = a, 5*h - 433*x - 10 = -428*x for h.
5
Let w(m) = -m + 3 + 0 - 9*m + 5*m**2. Let d be 4/38*(43 - 24). Let s be w(d). Solve 4*y + c = 13, -2*y - 4 + s = -c for y.
2
Suppose -4*i + 18 = -222. Let g be (72/i + 3/(-15))*4. Solve 0*n = -x - n + 3, 0 = g*x - 4*n - 20 for x.
4
Suppose -l + 5 = b, 0 = -2*l + l. Let c be (-6 - -3)*(-24)/(-9). Let u = c - -10. Solve u*z - 9 = 3*t + z, -b*t - z = 23 for t.
-4
Let w = 44 - -19. Suppose -2*k = 147 + w. Let x be 15/k - 36/(-7). Solve 5*p - 29 = -3*t, -x*t + 15 = 2*p - 8 for p.
4
Let q(j) = 210*j + 846. Let i be q(-4). Solve 9*c - 3*d + 6 = i*c, 3*c = -3*d for c.
-1
Let a = -6947 + 6949. Solve 2*y + 2*w = a - 4, -3 = y - w for y.
-2
Let l(u) be the third derivative of -u**4/24 + 4*u**3 + 81*u**2. Let c be l(5). Solve 3*p = -3*b - 24, -2*p + b - c = 4*b for p.
-5
Let z(q) = -5*q**3 - 6*q**2 + 39*q + 40. Let i be z(-16). Let w be (-1 - 3/(-4))/((-306)/i). Solve w = 5*x, -x = c - 6*x + 13 for c.
2
Let g = 313 - 162. Let y = -149 + g. Solve 4*t - 8 = -4*v, y = v - 3 for t.
-3
Suppose -3 + 1 = 3*p - l, -2*p = 4*l - 8. Suppose p = 6*y + 3*y - 27. Solve -2*u - 5 = -u, 12 = 3*j - y*u for j.
-1
Let l = 4 - 4. Suppose 0 = -12*o + 27*o - 375. Suppose -o*a = -53 - 22. Solve -2*r + a*d + 2 = 0, l*d - d - 29 = 5*r for r.
-5
Let p(h) = -518*h + 3112. Let l be p(6). Solve -29 + 5 = l*g - 2*r, 3*r + 8 = -5*g for g.
-4
Let v = -3858 + 3863. Solve -2*n = -4*a - 7*n + 6, 0 = 5*a + v*n - 10 for a.
4
Let i(y) = -2*y - 7. Let r be i(-4). Let a be (-1 - (-1 - r))*2. Suppose 0 = 13*s + 33*s - 230. Solve -3*h + 5*c - c - 18 = 0, -s*h = -a*c + 16 for h.
-2
Let i = 498 + -490. Let p be (-3024)/(-896) + ((-3)/i)/1. Solve p*r + 4*k = -27, -5*k = -r + 6*r + 40 for r.
-5
Let d(v) = -387*v - 3082. Let c be d(-8). Solve -5 = 5*j, n - 15*j = -c*j for n.
-1
Let z be 1640/32 + 1/(-4). Let o(d) = -d**3 + 21*d**2 + 24*d - 35. Let h be o(22). Suppose -2*t - h = -z. Solve 0 = 4*j - g - t, -14 = -3*j - 4*g + 3*g for j.
5
Let m = -17662 - -17685. Solve -6*w + 4*w + 3*r = -m, 4*r = -5*w for w.
4
Let s(g) = g**2 - 29*g - 59. Let u be s(-2). Solve 11 = -u*l + 2*o, 5*o = 5*l - 29 + 49 for l.
-3
Let v be ((-2)/4)/(4/(-48)). Suppose v*y + 4*s = y - 24, -4*y = -3*s + 44. Let p be 2*(4/y + (-10)/(-4)). Solve j = p*f + 7, 2*f + 5*j = -0*f - 9 for f.
-2
Let c be (3 + (-165)/35)*(-21)/(-6). Let a be 2*2*c*(-3)/18. Solve 0 = -5*h - 2*n + 25, -25 = -5*h + a*n - 3*n for h.
5
Suppose -5*l + 25 = -105. Let y = -22 + l. Suppose o - y = -0*o. Solve 4*n + 3*v + 4 = 12, o = 2*n + 3*v for n.
2
Let t = 1391 + -1388. Suppose 20 = -3*q + 4*q. Solve -t*u - 3*r + 18 = 0, -u = u + 4*r - q for u.
2
Suppose -14 = -5*u + 3*p - 7, 4*p - 4 = 0. Suppose -u*o - 3*r = -23, -2*r = 5*o + r - 35. Solve 6*q = 2*q - 4*x - o, -3*x = 4*q + 8 for q.
-5
Let i = 385 - 376. Suppose 2*g + i*m - 6*m = -6, -5*g + 4*m = -31. Solve q + 3*q + 16 = g*c, 4*q + 20 = 4*c for q.
-1
Let a = 3988 + -3980. Solve 2*m = -2*r + a, -4*r + 24 = 5*m + 3 for m.
5
Let u(i) = 120*i + 21. Let o be u(-2). Let r = 224 + o. Solve -3*h - 2*d + 2 = 0, h + r*d = 19 - 1 for h.
-2
Let b = -52 + 101. Let r = b - 47. Suppose 4*a = r + 10. Solve -f = -a*y + 10, -y - 14 = -4*y - f for y.
4
Let r be (645/2)/(((-513)/36)/19). Let a = r + 435. Solve 5*u + a*t = 10, -4*t - 19 = 4*u - 9*t for u.
-1
Suppose -157*o + 337 = -291. Solve 2*q - o*b = 2, 2*q + 9 = -5*b - 7 for q.
-3
Let m = 1 - 2. Let a be ((-20)/9)/m + 8/(-36). Suppose d + a = -c, -2*d + 40 = 3*d - 5*c. Solve 0 = -3*z + 12, f + f = -d*z + 12 for f.
0
Let b be 24*((-19 - -21) + (-3)/4). Let v be (4/6)/(b/495). Solve v = -y - 4*i, -5*y + i + 17 = -12 for y.
5
Let r(j) = 5*j + 116. Let s be -24 + (-3)/(-3)*5. Let w be r(s). Solve -u = 5*b - w, u - b - 9 = -3*b for u.
1
Let y(w) = w**3 + 8*w**2 - 185*w - 88. Let n be y(-18). Solve 2*p - u + 5 = 14, 0 = 5*p + n*u - 18 for p.
4
Suppose -37*z = -25*z + 264. Let r = -18 - z. Let i(u) = -u**3 - u**2 + 10. Let c be i(0). Solve -3*b = -r*y - c, -3*y = -6*y - 5*b - 22 for y.
-4
Let r = -4397 - -4398. Solve 2*v + r = 3*x + 6, 5*v - 19 = x for x.
1
Suppose 0*c - 3*f = 2*c - 37, -2*f = -3*c + 36. Suppose -17 = -2*j - 0*l - 3*l, 0 = 5*j - 2*l - c. Solve -14 = 5*d - 3*n, -d = -2*d + j*n + 4 for d.
-4
Let k = -97 + 338. Let z = 247 - k. Let f = 6 + -4. Solve 0 = f*y - 4*w - 12, z*y - w + 2 = 3*y for y.
-2
Let f be 24/6 + -6 - -4. Suppose -f*b = -10 + 2, 3*b + 8 = 5*p. Solve p*d - 4 = o - 2*o, -4*o - 2*d + 16 = 0 for o.
4
Suppose 24*r - 74 - 94 = 24. Solve -z + 3*q = 12, -3*z + q = 4 + r for z.
-3
Suppose 5*u - 13 = -2*c, 7 = 3*c - 4*u - 1. Solve 5*m - 76 = -3*n - 56, 0 = c*n + 4*m - 16 for n.
0
Let c(m) = m**2 + 6*m + 2. Let w be c(-7). Suppose -5*f - h = -3, 14*h - 16*h + 6 = f. Suppose f = 90*p - 93*p. Solve p = 5*n - 5*d, -w + 3 = -4*n + d for n.
2
Suppose 86*j = 81*j - 95. Let u = -19 - j. Solve 0 = 3*p - 5*q, u*q - 4*q + 3 = -3*p for p.
-5
Suppose -4*b + 38 = -2*n + 30, -5*n + 2 = b. Solve 4*w = k - b, 0*w + 2*w - 2*k = 2 for w.
-1
Let o = -12 - -17. Let q be 1 - (8 - 5)/(-1) - 3. Let v be q/2 + (-4)/8. Solve -i + 4 = u + u, v = -o*u + 15 for i.
-2
Suppose -s + 41 + 64 = 0. Let p = 105 - s. Suppose 0*t + 2*t - 11*t = p. Solve -2*g + m - 1 = t, 2*m + 5 = -g - 2*g for g.
-1
Let q be (-230)/55 + 4 + (-6078)/(-33). Let c = q - 179. Solve 5*h = -3*g - 28, h + 2*h = c*g - 10 for g.
-1
Suppose s = 2*m - 583, -309 = -8*m + 7*m + 4*s. Suppose -6*j + 313 = m. Solve j*o - 5 = f, -3*f = -7*f + 2*o - 6 for f.
-1
Suppose -21*
|
{
"pile_set_name": "DM Mathematics"
}
|
(10 + (-1 - (-1 - -2)) + -1).
-80
What is the value of 1 + -2 - -8 - (12 + (17 - 10) - -29)?
-41
What is the value of 0 + 28 - ((-38 - 0) + (-98 - -125))?
39
What is 1 + 1 + 8 - (6436 + -6437) - (89 - 2)?
-76
What is -18 + (-17 + 0 - (389 + -419))?
-5
Evaluate (-6 + 16 - 5) + 54 + (7 - 2) + -2.
62
Calculate 30 + -7 - ((102 - 37) + -63).
21
What is -1 + 14 + (-13 + -6 + 44 - 37)?
1
Calculate 28 + 2 + -2 + (-371 - -189 - -195).
41
(-17 + 0 - (20 + 26 + -51)) + -20
-32
Evaluate -62 - (-13 - 4 - 14).
-31
Evaluate (-45 - 0) + 0 - (-181 + 0 - -171).
-35
What is 23 - (13 + -25 - -18 - 23)?
40
Evaluate -64 - (-42 + 31 - 113).
60
What is -9 + (-17 - -95) + -112?
-43
-74 + ((57 - 29) + -13 - -15)
-44
What is the value of (3 - 0) + (27 + (43 - 53) - 18)?
2
Calculate (-5 - 0) + (-1 - 0) + 1143 + -1216.
-79
Evaluate 1367 + -1348 - (-1 + 7) - 26.
-13
What is the value of -21 + 8 + (6 - (-7 + -10))?
10
Evaluate 1 + (-2 - -17) + -9 + -85 + 16.
-62
Calculate 102 - (-43 - (-8 + -61)).
76
Evaluate (12 - -119) + -136 + -26 + (-2 - -1) + 0.
-32
0 + 3 - (31 - (-27 + 15 + -18))
-58
What is 6 - ((-8 - ((-19 - -17) + -17)) + -16)?
11
What is 3 + 1 - (-22 - -38) - -5 - -13?
6
What is 54 + (13 - 1) + 16?
82
(29 - (13 - 0)) + (-76 + 5 - -19)
-36
Calculate 1 + 1 + (-107 + 0 - ((1 - 6) + 3)).
-103
(36 - (-11 + 14)) + -11 + 15 + 5
42
What is -9 - ((163 - 207) + -1 + -3)?
39
(-8 - -3 - (-24 + -12 + 1 + 2)) + 13
41
0 - -51 - (39 + 36 + -46)
22
-112 - (-43 + -85) - 57
-41
What is 42 - (45 - 22 - -43)?
-24
-1 - 6 - (16 + -14 + 6)
-15
What is the value of (-90 - -124 - 3) + 1 + -12?
20
Calculate -203 - -326 - (1 - -43).
79
Evaluate 1 + 0 + (11 - 6) + -9 + (10 - 8).
-1
Evaluate (-26 - -7 - -24) + (-9 - 9).
-13
What is the value of -2 + 0 + 31 + (-1 + 6 - (6032 + -6036))?
38
Evaluate (-8 - -17) + -25 + 2 + (-213 - -229).
2
What is the value of -88 + 2 - (-6062 - -5941)?
35
Evaluate 2 + (-14 - 0) + (-110 - -112) + -25.
-35
What is -7 + -6 + -34 - -65?
18
Calculate (-12 + 20 - (0 - -3)) + (15 - -2).
22
What is the value of 27 + 12 + (-10 - 0) - (-2 - -14)?
17
Evaluate (-75 - (65 - 225)) + -120.
-35
What is the value of 235 - (-54 - -81 - -88)?
120
What is the value of 3 + (-71 - 2) + 65?
-5
What is -70 + (55 - -13) - (2 + 3)?
-7
(-25 + 133 - 39) + -36 + 11
44
What is the value of 958 - 956 - (-6 - -1)?
7
What is the value of 17 + -84 - (-88 - -30 - -25)?
-34
What is the value of (-16 - (-25 - (11 + -24))) + -48?
-52
What is 24 + -8 + (4 - 6) - 19?
-5
What is the value of 28 + 76 - 126 - 18?
-40
Calculate 34 + (-278 - -277 - (25 - -4)).
4
-36 + -47 + (112 - 10)
19
Calculate 5 + -9 + 5 + 1 + -24 + (-15 - -23).
-14
Evaluate (4 - -5 - -6) + (-4 + 14 + -9 - 2).
14
Calculate -118 - -95 - (-49 + 0).
26
What is the value of -40 + 39 + 61 + -88?
-28
-974 - -984 - (-1 - 0)
11
What is (79 + -147 - -43) + (-33 - 0)?
-58
Calculate -8 - (3 + (16 - 58) - (-1 + 0)).
30
Calculate 13 + (15 - 31 - -13 - (1 - 5)).
14
What is (-12 - (42 + -8)) + 101?
55
What is (-70 - -107 - 12) + 0 + -10 - 35?
-20
-67 - -46 - 22 - 13
-56
What is 14 + -16 - 8 - (4 + -5 - (-79 + -32))?
-120
Evaluate (-40 + 99 - 96) + 104.
67
-107 + -9 + (-20 - (2 + 20 - 64))
-94
Evaluate (0 + 0 - (3 - 16) - -1) + 27935 + -27970.
-21
Evaluate -101 + -75 + 144 - -67.
35
(-183 - -84) + 88 + 3 + -1 + (32 - 0)
23
Evaluate 70 + (-13 - -7) + 65 + -2 + (0 - -13).
140
What is the value of -13 - (43 - (-13 + (19 - 0) + 10))?
-40
What is -6 - (-2 + -3 + (-68 - 5) + 6 + 6)?
60
Evaluate (132 + -72 - -36) + -111.
-15
Evaluate -866 - -1007 - (8 - -91).
42
Evaluate -6 + 8 - (2 + 1 + 1 - 7).
5
What is -27 - (-27 + 4) - (4 + 0 + -1)?
-7
What is the value of -18 + (136 - (27 - -84))?
7
What is the value of (-5 - 108 - -21) + 30 + (-9 - -2)?
-69
Evaluate (1 + -1 - 16) + 1676 + -1736.
-76
What is the value of (-3938 - -4031) + -85 + 1?
9
What is -14 + 8 + 15 + -4 + -2 + -3?
0
Evaluate 122 - (15 + -34 + 23 + 30).
88
Calculate 52 + (-90 - (33 + -56)).
-15
What is -207 - -212 - ((1 - -6) + (-1 - 61))?
60
What is the value of -3 + -72 + 26 + -60 + 36 + 7?
-66
Evaluate 59 - -1 - (26 + -30 - (-14 + 15)) - 1.
64
What is the value of (-33 - -24) + 4 + (-7 - -1 - -29)?
18
-12 + 5 + (-33 - -88 - (-2 - -10))
40
-19 - ((26 - -3) + -4 + -92)
48
What is the value of -53 + -2 + (38 - (113 + -59))?
-71
What is (-22 + -4 - -4) + -156 + 139?
-39
(10 - 1) + (12 - (-1 + 0)) + (-327 - -336)
31
Evaluate (-5 - 0) + 6 + (220 - 233).
-12
What is (-1 - 7) + (-65 - (1 + -32))?
-42
Evaluate -16 - (-4 + -10 - 24) - 37.
-15
Calculate 80 + -45 + -57 + 142.
120
-49 - (-13 - (2 + 1)) - 27
-60
What is the value of 9 + (-685 + 714 - (-1 - -17))?
22
Calculate -1 - -25 - (-19 + -8 + 17 + 9 + -4).
29
Calculate 20 - (-37 - (-136 - -23) - 30).
-26
What is 73 + -27 + (-22 - 4)?
20
Evaluate (12 - (3 - -39)) + (-2 - -9 - 0).
-23
-116 + 111 - (2 + 4) - -26 - 2
13
What is the value of 1 - (-102 - ((5 - -6) + -25 - -6))?
95
Calculate 83 + (-99 - 161) - -58.
-119
What is (7 - 10 - -21) + 0 - -24?
42
What is -13 + -4 + 7 + 29 + -62?
-43
What is the value of 63 - (5 + -24 + 56)?
26
What is (16 - -1 - (-3 + 4 - 2)) + 48?
66
Evaluate 4 - (153 - 163 - (-88 - (-2 - 4))).
-68
What is 34 + (50 - 4 - 59)?
21
What is the value of (-1 - (0 + 1) - 22) + (809 - 805)?
-20
Calculate 511 + -507 + (2 + 1 - (-43 - 1)).
51
Evaluate 42 - (21 + -7 - -63).
-35
Evaluate 3 + (238 + -240 - (-1 - 17)).
19
Calculate -5 - (22 + -32) - (4 + (-1 - (0 - 4))).
-2
-11 + ((10 - (2 - 54)) + 16 - -6)
73
Evaluate (16 - -10 - (-32 + 33)) + 17.
42
Calculate ((22 - 18 - 22) + 14 - 29) + 1 + -10.
-42
Evaluate 27 + -50 - -3 - (26 + -185).
139
-15 - 18 - (-140 + 64)
43
What is the value of (3 - (-2 + 2)) + (-30 - (-1 + 25)) + 21?
-30
-6 - (68 - (-17 - -24 - 29))
-96
What is the value of 112 + (3 + (1 - -6) - 54)?
68
Calculate 3587 - 3775 - (0 - 57).
-131
What is the value of (51 - 29) + -37 + 73 + -8?
50
Calculate -24 + (3 - (16 + -26)) + -16.
-27
What is the value of (1 - (-9 + 5)) + 4 - ((-3 - 6) + 0)?
18
What is (8 + 13 - 0) + -27 + -6 - (1 + 95)?
-108
Calculate -121 + 112 - (-9 + -18).
18
What is -2 + (2 - -2) + (-83 - -10) + 28?
-43
Calculate 23 - (-20 - (18 - (-2 + 34))).
29
Calculate 938 + -940 + -34 + -3 + 90.
51
Evaluate 14 - 1 - (-55 + (22 - 32)).
78
Evaluate -273 + 278 + (-56 - -6).
-45
What is -83 + 95 + (6 - (2 - -5)) + -6?
5
Calculate 26475 + -26483 - (-2 - (-2 - -2) - (-80 - -1)).
-85
What is 20 + (-43 - -43) + 5 + -13?
12
0 + (-8 + 83 - -19) + 3 + 4 + -21
80
Evaluate 10 - ((24 - -11) + 20).
-45
17 - (1 - (-6 - 22))
-12
Calculate 0 - (-9 - (-36 + 1 + (-78 - -88))).
-16
-19 + (8 - -67 - (59 + -39))
36
What is -58 + (58 - -34) + (-2 - -86)?
118
-11 + 3 + (87 + -108 - (-17 + (6 - 2)))
-16
Calculate 312 + -145 + -163 - (2 + -2 + -1 + -54).
59
Evaluate (-5 + 7 - (0 + -3)) + -31 + 47 + -21.
0
What is the value of (0 + -6 - (70 + 31 + -85)) + 81?
59
23 - (0 + -19 + (-16 - -2) + 27)
29
What is the value of -20 + 0 - (10 - (-55 + 63 + 17))?
-5
What is the value of (-3 - 1 - (2 - (-26 - 13))) + 10?
-35
What is 18 - (65 + -8 - 59)?
20
What is the value of 57 - (-38 - -54) - (-1 - (2 - 3 - 1))?
40
What is the value of 66 + (-221 - -162 - 67)?
-60
What is the value of -176 - -125 - (-79 + 15)?
13
What is 132 - 144 - -23 - (0 - -35)?
-24
Evaluate 239 + -258 + (18 - 1) + 5.
3
Evaluate 25 + (-26 - (-77 - -25)).
51
What is -41 + (-89 - 17 - -168)?
21
-180 + 70 - -278 - 40
128
Evaluate (205 + -40 - 237) + 1 + 5.
-66
Calculate 14 + -3 + -1 + -14 + -26 + (6 - 1).
-25
Evaluate (59 + 66 - 65) + 1.
61
What is the value of 34 - (4 + 104 + 15 + -31)?
-58
38 + -18 + (21 - (1 + 23))
17
What is -3841 - -3915 - (21 + 0)?
53
What is the value of 18 - (-92 + (-43 - -120))?
33
What is 2 + (11 - 2) + 4 + -9 + 0 - -12?
18
What is the value of 0 + -11 - ((1 - 11) + (-1 - -3)) - 24?
-27
What is the value of -49 - (-101 - 61 - -82)?
31
What is (-8 + 8 - (-1 + 31)) + (-44 - (-36 - 12))?
-26
Calculate 40 + 3 + -1 + 3 - (-5 - (17 + -31)).
36
What is the value of 12 + -22 + 8 + (6 - 0) + -6?
-2
What is 5 + 0 + -74 + (197 - 105)?
23
(-108 - (120 + -131)) + 220
123
Evaluate 21 + -19 + -45 + 8 + -2 + -7.
-44
Calculate -46 + (32 - (54 - -2)) + 7.
-63
What is -11 - (-111 - 7) - (-10 - -8 - 7)?
116
Calculate -52 - ((-8 - -2) + (-11 - (-20 + 12)) - -5).
-48
-46 + 71 + -54
|
{
"pile_set_name": "DM Mathematics"
}
|
q**5 - 2*q**5 - 4 + 4.
7*q**5
Expand 141 - 23*j - 141 + 0*j + 3*j - 5*j + (2 - 5 + 2)*(j + 5 - 5).
-26*j
Expand (-1 + 1 - 2*m)*(2*m + 2*m + 3*m**2 - 6*m)*(37*m - 72*m + 24*m).
66*m**4 - 44*m**3
Expand (-u + 9 - 3 - u)*(-4 - 15 - 4).
46*u - 138
Expand 760135 - 848*m**2 - 760135 + (-2*m + 2*m - 2*m)*(-1 - m + 1).
-846*m**2
Expand 406*o**4 + 22*o**4 + 204*o**4 + 92*o**4 + (-2*o**3 - o**2 + o**2)*(-2*o - 3*o + 3*o).
728*o**4
Expand (-2*c**2 - 4 + 4)*(368*c + 23*c - 143*c).
-496*c**3
Expand (0*g + 0*g + g + (4 - 5 - 1)*(-g + 3 - 3) - 4*g - 2 + 2)*(4*g**3 - 8*g**3 - g**3 + (-7*g + 4*g + g)*(0*g**2 + g**2 - 3*g**2)).
g**4
Expand -5*w**2 + 2*w**2 + 0*w**2 + (-w - 2*w - 2*w)*(-70 + 39 - 6*w + 35).
27*w**2 - 20*w
Expand z - 34*z**4 + 37*z**4 - 5*z**3 + 0*z + (-4*z**3 + z**3 + 4*z**3)*(-z - z + 0*z) - 3*z - 2*z**4 + 3*z - 2*z**4 - z + z.
-3*z**4 - 5*z**3 + z
Expand (4*v - 3*v - 2*v)*(-357*v**2 - 25*v**3 + 357*v**2) + 2*v**4 + v**4 - 5*v**4 - 3*v**4 + 6*v**4 + 2*v**4.
28*v**4
Expand (-r + 2*r + r)*(-3 - 4 + 2) - 209 + 45*r + 209.
35*r
Expand (-8 + 825*k + 8 + 0*k)*(2 - 1 - 3).
-1650*k
Expand (-2*u + 2*u - 3*u)*(2 - 7 - 18)*(5*u**2 - 3*u + 3*u).
345*u**3
Expand -38*b - 32*b**5 + 38*b + 5*b**4 - 5*b**4 - 2*b**5 + (-b - 3*b + 2*b)*(2*b**4 + 0*b + 0*b).
-38*b**5
Expand (433 + 6*j - 432 + 8*j)*(-j**4 + j**4 + 6*j**4).
84*j**5 + 6*j**4
Expand (0*k + 0*k - k**3)*(-1 + 2*k**2 + 1) + k**5 + k**2 - k**2 + (34*k**4 + 15*k**4 + 7*k**4)*(-4*k + 2*k - k).
-169*k**5
Expand (-2 + x + 2 + (-3*x + 2*x + 0*x)*(2 - 4 - 1))*(4*x**2 - 2*x**2 - 4*x**2) + 10*x**3 - 9*x**3 - 16*x**3 + (-x - 4*x + 2*x)*(-x**2 + 2 - 2).
-20*x**3
Expand (2*x + 0 - 1 - 1)*(10 - 7 - 51*x - 15*x).
-132*x**2 + 138*x - 6
Expand (-2*b + 3 - 3)*(2*b + 3 - 3) - 1 - b**2 + 1 + 3*b**2 - 2*b**2 - 2*b**2 + 8*b**2 + 2*b**2 - 5*b**2 + 0*b + 0*b - 2*b**2.
-3*b**2
Expand (2*d + 6*d - 4*d + (-3*d - d + 3*d)*(-4 + 6 - 4))*(1 + 5 - 2).
24*d
Expand (0*h + 0*h - 2*h)*(-4*h**2 + 2*h**2 + 0*h**2 + (15 + 4*h - 15)*(4*h - 2 + 2) + 0*h - 2*h**2 + 0*h).
-24*h**3
Expand (-12 - 46 + 94)*(-2*a + a**2 - a**2 + a**2).
36*a**2 - 72*a
Expand (-1 + 2 + 1)*(4 + 0 - 3)*(-39*p + 9*p - 22*p + 2).
-104*p + 4
Expand (-q + q**2 + q)*(52*q - 79*q + 200*q) - q**3 + 0*q**3 + 3*q**3.
175*q**3
Expand (-3 + 3 + 2)*(65*z + 216 - 216).
130*z
Expand -2*x**5 - 7*x**5 + 0*x**5 + (3*x**2 - 3*x**2 - 2*x**2)*(-2315*x + 2315*x - 53*x**2)*(-2*x - 1 + 1).
-221*x**5
Expand (-3 - 2 + 3)*(-n**3 + 0 + 0 + n**3 - 5 + 5 + (-2*n**2 + 3*n**2 + 2*n**2)*(n + 0*n - 2*n) + 11*n - 24*n**3 - 11*n + 4*n - n**3 - 4*n).
56*n**3
Expand (j - 1 + 1)*(134 - 25 + 300) - j - 2*j + 2*j.
408*j
Expand -7*b**5 + 15*b**3 - 15*b**3 - b**2 + (-3*b**4 + 9*b**4 + 4*b**4)*(4*b - 6*b + b).
-17*b**5 - b**2
Expand 6*a + 4 - 4 + 2*a**2 + 0*a**2 + 40*a**2 + 18*a**2 + (2*a + a - 5*a)*(-a - a + 3*a).
58*a**2 + 6*a
Expand (4*h**2 - 4*h**2 + h**3)*(0*h - h + 0*h + 2)*(6 + 0 + 1).
-7*h**4 + 14*h**3
Expand (2*w**3 + 0 + 0 + (w + 2*w**3 - w)*(-2 + 9 - 1) + w**3 - 3*w + 3*w)*(0 + 1 + 5).
90*w**3
Expand (-197*p + 73*p + 70*p)*(-p + p + 2*p).
-108*p**2
Expand -245*h - 30*h + 40*h + (2*h - 2*h - h)*(-3 + 2 + 0) + (-2*h - h + 4*h)*(1 + 0 - 2).
-235*h
Expand (-2*q**3 - q**3 + 4*q**3)*(332*q - 395*q - 236*q + (-5*q + 5*q + q)*(3 + 3 - 7)).
-300*q**4
Expand -y**3 + y**3 + 2*y**3 - y**3 + 2*y**3 + 0*y**3 + (-1 + 1 + 2*y)*(-y**2 - y**2 + 0*y**2) + (-13 + y**3 + 4*y**3 - 3*y**3)*(2 + 2 - 3).
y**3 - 13
Expand (a + 0 + 0)*(41 - 8 - 17)*(2*a + 4*a - 5*a).
16*a**2
Expand (16*v**2 + 14*v**2 - 2*v**2)*(-7 + 7 + 3*v**2)*(-2*v + 1 - 1).
-168*v**5
Expand -4*q**4 - q**4 + 4*q**4 + 23*q**4 + 11*q**4 - 7*q**4 + (-q - 1 + 1)*(7*q**3 - q**3 - q**3).
21*q**4
Expand (-5*x + x + 3*x)*(-14 - 31 - 78) + (-2 + 2 + 1)*(0*x + 2*x - x).
124*x
Expand 10 - 10 + 3*z**3 + (z**2 - 3*z**2 + 0*z**2 + (-4*z**2 + 3*z**2 - z**2)*(3 + 0 - 4) + 2*z**2 + 2*z**2 - 5*z**2 - 3*z**2 + z**2 + 4*z**2)*(15*z - z + 3*z).
20*z**3
Expand (-12 - 8*y + 12)*(-2 + 2 + 2) - 10*y + 15*y - 11*y.
-22*y
Expand (r + 0*r + 0*r)*(-164 - 29 + 112 - 78)*(-1 - 5 + 5).
159*r
Expand ((2*n + 4*n - 4*n)*(-3 + 3 + n) + 158*n - 158*n + 6*n**2)*(-1 + 1 - 2*n**2).
-16*n**4
Expand (-219*r - 93*r + 476*r)*(-4 - 4 + 6)*(1 + 3 - 2)*(-2 + 2 - 3*r).
1968*r**2
Expand -3*b**5 - 4*b**5 + 6*b**5 + (2*b - 3*b + 0*b)*(-2*b**4 + 0*b**4 + 4*b**4) + 4*b**5 + 2*b**4 - 2*b**4.
b**5
Expand (-182 + 182 + 819*o - 175*o)*(-2*o**3 + o**4 - 3*o**4 - o**3).
-1288*o**5 - 1932*o**4
Expand 2*q**4 + 0*q**4 - 13*q**4 + (4*q - 2*q - 4*q)*(-2 + 2 + q**3) + 2*q - 2*q**4 - 2*q - q**2 + 7*q**4 + q**2 + q**2.
-8*q**4 + q**2
Expand (-a + 121*a - 8*a)*(1 - 1 + 1).
112*a
Expand (-2*r + 0*r + r)*(0 - 1 + 0 + (-1 - 3 + 2)*(2 - 1 + 1) + 6 - 2 - 5) + 8 + 8*r - 8.
14*r
Expand -2 + 2 - 2*d**2 + (6*d - 4*d + d)*(-84*d - 21*d + 14*d) + d**2 + 0*d**2 + d**2.
-273*d**2
Expand -3*n**3 - n**3 + 2*n**3 + (3*n**2 + 5 - 5)*(-n + 3*n - n) - 2*n**3 + n**3 + 3*n**3 + 9*n**3 + 4*n**3 + 6*n**3.
22*n**3
Expand 245*d**3 + 767*d - 767*d + d - d + 2*d**3 + 0*d**3 - d**3 + 0*d**3 + (-4*d + 4*d + d)*(2*d**2 + 2*d - 2*d).
248*d**3
Expand (y**3 - y**5 - y**5 + 90*y**5)*(1 + 3 - 2).
176*y**5 + 2*y**3
Expand (-t - t + 3*t)*(t**2 + 2*t - 2*t) - 2*t**3 - 40*t**3 - t**3.
-42*t**3
Expand 0*d + 0*d + 3*d**2 + 3*d**2 + 2*d**2 - 3*d**2 + (4*d - 6*d + 0*d)*(2*d - d - 3*d) + 4 - 4 + 5*d**2.
14*d**2
Expand (5 - 2 - 1)*(2 + 1 - 4)*(0*r - 2*r + 0*r + (-3*r - r + 2*r)*(-3 + 0 + 4) + 16*r - 8*r + 10*r + (-1 - 4 + 6)*(r + 0*r - 2*r) + r - 2*r + 0*r).
-24*r
Expand -4*k - 4*k**4 + 4*k + 2*k**4 - 2*k**4 + k**4 + (-2*k**3 + 3 - 3)*(3 - 3 + k) + 0*k**4 + 5*k**4 - 6*k**4 - 6*k**4 - 3*k**4 + 3*k**4.
-12*k**4
Expand ((-3 - 3 + 3)*(-o + o - o) - 5*o - o + 4*o)*(101 - 101 - 10*o).
-10*o**2
Expand (4 - 4 - 2*v**3)*(0 + 0 + 2) + 4*v**3 - 2*v**3 + 0*v**3 + 4*v - 4*v - 3*v**3 - 14*v**3 + 16*v**3 + 21*v**2 + 7*v**2.
-3*v**3 + 28*v**2
Expand -3*f**2 - f**3 + 3*f**2 + (-f**2 - f**2 + 5*f**2)*(1 + f - 1) + 17*f**3 + 424*f**2 - 424*f**2.
19*f**3
Expand (n**2 + 0*n + 0*n)*(-12 + 0*n - 25 + n).
n**3 - 37*n**2
Expand (5*c - c - 22*c - 17*c)*(-4 + 4 - c**2).
35*c**3
Expand (r + 3*r - 2*r)*(2 + r - 2) + 2942 - 2922 - r**2 + 5*r**2.
6*r**2 + 20
Expand (4*p**3 - 4*p**3 - p**3)*((-2*p + 0*p + 3*p)*(-6 + 3 - 1) + 8*p + 43*p - 10*p).
-37*p**4
Expand -3 - w + 3 + (14 - 109 + 27)*(-3*w + 3*w - 2*w) + w - w - 2*w + (3*w - 6*w + 2*w)*(-3 - 2 + 3) - w - 4*w + 6*w.
136*w
Expand (-m + 0*m - 3 + 4)*(-3 - 2*m**2 + 3)*(2*m - 2 + 2)*(-4 + 18 + 4).
72*m**4 - 72*m**3
Expand -2*d**2 + 2*d**2 + 7*d**5 + (-d - 4*d + 4*d)*(d**4 + 3 - 3) - 4*d**2 + 4*d**2 + 4*d**5 - 2*d**5 - 3*d**2 + 3*d**2 - 5*d**4 - 2*d**5 + 5*d**4.
6*d**5
Expand -8 + 2 - 45*w + 8 + (w + 1 - 1)*(0 + 0 + 1).
-44*w + 2
Expand (k + 3*k - k)*(-12 + 5 - 10*k + 9).
-30*k**2 + 6*k
Expand (606 - 606 - 33*c)*(6 - 6 + 6*c**3).
-198*c**4
Expand (-22*t + 31*t - 12*t)*(0 + 0 - 3)*(3 + 0 - 4)*(-3*t - t + 3*t)*(-1 + 1 + 1).
9*t**2
Expand -6*m**4 - 3*m**2 + 3*m**2 + (8*m**2 + 4*m**2 - 5*m**2)*(2*m**2 - m**2 + m**2).
8*m**4
Expand (2*y - 3 + 3)*(3*y**4 + y**4 - 3*y**4) + 4*y**5 - y**3 + 0*y**3 - 2*y**5 + 1 + 0*y**3 - y**5 + 0*y**3.
3*y**5 - y**3 + 1
Expand 1 - 4*n**2 + 3*n**2 - 2 + 2*n**2 - 5*n**2 + 5*n**2 + (-2*n + 9*n - n)*(-2 + 2 - 2*n).
-11*n**2 - 1
Expand (-111 + 10 + 59)*(1 + 2*q - 1).
-84*q
Expand (d**3 + 11*d**3 - 5*d**3)*(-3*d**2 - d**2 + 2*d**2) - 2*d**5 - 3*d**5 + 3*d**5 + 3*d**5 + 2 - 6 + 1.
-13*d**5 - 3
Expand -m**2 + 2 - 2 + (5*m - 3*m - 4*m)*(m + 0*m + 0*m) - 5*m**2 - 14*m**2 + 7*m**2 + (-10 + 10 + 4*m**2)*(4 + 2 - 5).
-11*m**2
Expand (-10*f + 16*f - f)*((3*f**2 - 3*f**2 - f**3)*(3 - 8 + 11) + 0*f - 2*f**3 + 0*f).
-40*f**4
Expand 6*j - 6*j + j**2 + (-j**2 + 0*j + 0*j)*(0 + 6 - 4).
-j**2
Expand (-4 - 18 - 26)*(-2*q**3 + 1 - 1)*(-1 + 0 + 2).
96*q**3
Expand (3*t - 3*t + t - 1)*(-14*t**2 - 4*t**2 - 11*t**2).
-29*t**3 + 29*t**2
Expand -28*c**3 - 116*c**3 - 38*c**3 + (0 + 0 + 2*c)*(1 + 2*c**2 - 1) + 2*c**3 - 2*c**3 - c**3.
-179*c**3
Expand 2*g - g + g - 2 + g + 2 - 3*g + 0*g + 5*g + (-2 - 1 + 4)*(-g + g - g) + 0 + g + 0 + 5*g - g - 3*g + 3*g + 218 - 218.
9*g
Expand (-2 + 6 + 0)*((-38924 - 105*w + 38924)*(3 + 3 - 8)*(3 - 5 + 1)*(-3 + 3 - 2) - 2*w + w + 3*w).
1688*w
Expand (0*j + j + j)*(-j**4 - 5*j**2 + 5*j**2) + 18*j**3 + 2*j**2 + 0*j**3 +
|
{
"pile_set_name": "DM Mathematics"
}
|
letters picked without replacement from wggun?
1/10
Two letters picked without replacement from {j: 1, t: 1, h: 3, e: 3, d: 2}. What is prob of picking 1 e and 1 h?
1/5
Calculate prob of picking 3 f and 1 n when four letters picked without replacement from zfnfozflzfulf.
2/143
Two letters picked without replacement from {u: 2, k: 4}. What is prob of picking 1 k and 1 u?
8/15
What is prob of picking 1 e and 1 u when two letters picked without replacement from {u: 2, f: 1, e: 1}?
1/3
Three letters picked without replacement from yylllmyluyluyulu. What is prob of picking 2 y and 1 m?
1/56
Two letters picked without replacement from ssssbssbssbbss. Give prob of picking 2 s.
45/91
What is prob of picking 1 o and 2 p when three letters picked without replacement from opjojooooppojpjj?
3/40
What is prob of picking 1 j and 1 q when two letters picked without replacement from {e: 6, q: 7, j: 5, u: 1}?
35/171
Four letters picked without replacement from {v: 1, m: 3, w: 2, a: 2, q: 6}. What is prob of picking 1 v, 1 w, 1 q, and 1 a?
24/1001
Four letters picked without replacement from uuvvuuuuvvuuvuuvuuu. Give prob of picking 4 u.
715/3876
Two letters picked without replacement from {o: 2, h: 2, d: 1, r: 2, a: 1}. Give prob of picking 1 h and 1 a.
1/14
Two letters picked without replacement from xkickiiicidikkiii. What is prob of picking 2 c?
1/136
Calculate prob of picking 1 p and 1 c when two letters picked without replacement from pcaaffaacaaaap.
4/91
What is prob of picking 1 p and 1 y when two letters picked without replacement from ywp?
1/3
Four letters picked without replacement from ggjggggggggggggggj. Give prob of picking 2 j and 2 g.
2/51
Four letters picked without replacement from uqujuuequuuxuuc. Give prob of picking 1 q, 1 x, 1 e, and 1 c.
2/1365
Calculate prob of picking 3 v when three letters picked without replacement from {v: 3}.
1
Calculate prob of picking 1 m and 2 i when three letters picked without replacement from niimmiimninin.
45/286
What is prob of picking 1 p and 2 f when three letters picked without replacement from pfooofooooop?
1/110
What is prob of picking 3 c when three letters picked without replacement from yoccoyyycjoyyoo?
1/455
Two letters picked without replacement from rtsrtmtrrrrzm. What is prob of picking 2 m?
1/78
Two letters picked without replacement from {y: 1, d: 1, j: 2, s: 1, l: 2}. What is prob of picking 1 d and 1 s?
1/21
Calculate prob of picking 1 k and 1 u when two letters picked without replacement from {k: 1, u: 2}.
2/3
Three letters picked without replacement from {k: 7, r: 4}. Give prob of picking 3 r.
4/165
What is prob of picking 1 c, 1 d, and 1 t when three letters picked without replacement from {t: 2, n: 4, c: 4, d: 1}?
8/165
Calculate prob of picking 2 z when two letters picked without replacement from {z: 3, m: 3, g: 2}.
3/28
Calculate prob of picking 1 a and 1 l when two letters picked without replacement from chclathhttchatct.
1/60
Calculate prob of picking 2 o and 1 h when three letters picked without replacement from {d: 11, h: 1, o: 2}.
1/364
Calculate prob of picking 1 r and 2 o when three letters picked without replacement from roqoroqooqooqo.
2/13
Four letters picked without replacement from rsrrsgr. What is prob of picking 2 r, 1 g, and 1 s?
12/35
What is prob of picking 1 h and 1 e when two letters picked without replacement from mtextttmeh?
2/45
Two letters picked without replacement from txtxxxxxxxxtxttttth. What is prob of picking 1 h and 1 x?
10/171
Three letters picked without replacement from {u: 1, z: 2, f: 1, x: 9, r: 2, o: 3}. Give prob of picking 1 f and 2 z.
1/816
Two letters picked without replacement from bbqbbbbbbbbqbbbbbb. What is prob of picking 1 q and 1 b?
32/153
Four letters picked without replacement from ecijiciecssiiesji. What is prob of picking 1 s and 3 e?
3/2380
Two letters picked without replacement from zzzzzxuzzzzy. What is prob of picking 1 u and 1 x?
1/66
Calculate prob of picking 1 m and 3 f when four letters picked without replacement from fffmnffffkkfffffx.
11/119
Calculate prob of picking 1 z and 1 s when two letters picked without replacement from zzdzznszzwzdzwzzzndz.
6/95
Four letters picked without replacement from {v: 3, y: 7, h: 1, p: 6}. Give prob of picking 1 y and 3 p.
1/17
What is prob of picking 1 b and 1 j when two letters picked without replacement from bwwwdwwwbbbwjwwd?
1/30
Two letters picked without replacement from {a: 7}. What is prob of picking 2 a?
1
What is prob of picking 2 f and 2 u when four letters picked without replacement from {f: 3, u: 13}?
9/70
Three letters picked without replacement from qyqywsgqwwwyywwqsw. Give prob of picking 1 q, 1 g, and 1 w.
7/204
Two letters picked without replacement from {s: 9, p: 9, e: 1}. Give prob of picking 2 p.
4/19
What is prob of picking 1 g and 1 z when two letters picked without replacement from ggzgzgko?
2/7
Three letters picked without replacement from ccccccoocccoococcco. Give prob of picking 3 c.
286/969
Two letters picked without replacement from {z: 14, l: 4}. Give prob of picking 2 l.
2/51
Two letters picked without replacement from nnnnnnnpninipn. Give prob of picking 2 i.
1/91
Two letters picked without replacement from {o: 2, z: 1, d: 1, b: 2, m: 1, w: 1}. Give prob of picking 1 z and 1 d.
1/28
Two letters picked without replacement from eewennnxnwunwwwxwxex. Give prob of picking 1 n and 1 x.
2/19
Calculate prob of picking 1 k and 2 v when three letters picked without replacement from {v: 3, k: 2}.
3/5
Two letters picked without replacement from euudueuueejjuu. What is prob of picking 2 u?
3/13
What is prob of picking 1 v and 3 j when four letters picked without replacement from jjjbbvb?
1/35
Two letters picked without replacement from wwwwwwuwwwuwwwuw. Give prob of picking 2 w.
13/20
Calculate prob of picking 2 l, 1 c, and 1 o when four letters picked without replacement from llmorcca.
1/35
Four letters picked without replacement from kfffffffkfffsffff. Give prob of picking 2 k and 2 f.
13/340
What is prob of picking 1 x and 2 h when three letters picked without replacement from xxxfxffffxxhfxxfhfvx?
3/380
What is prob of picking 2 z and 2 h when four letters picked without replacement from vnihhzvhhvvizvhq?
1/182
What is prob of picking 1 f, 1 a, and 1 t when three letters picked without replacement from tfvattvvttaftass?
9/140
What is prob of picking 2 e when two letters picked without replacement from {s: 4, e: 2}?
1/15
Calculate prob of picking 1 j and 2 i when three letters picked without replacement from iiacjcciiaii.
3/44
Three letters picked without replacement from {t: 1, s: 2, g: 1, u: 1, y: 1, w: 2}. Give prob of picking 1 w, 1 g, and 1 y.
1/28
Two letters picked without replacement from ezzeezzzeeze. Give prob of picking 1 z and 1 e.
6/11
Four letters picked without replacement from yptp. What is prob of picking 1 y and 3 t?
0
Four letters picked without replacement from rxrddrrddrrdrdxrx. What is prob of picking 4 d?
3/476
Four letters picked without replacement from {t: 7, r: 2}. What is prob of picking 2 t and 2 r?
1/6
What is prob of picking 1 p and 1 k when two letters picked without replacement from kpp?
2/3
What is prob of picking 2 g, 1 p, and 1 h when four letters picked without replacement from {g: 2, h: 1, p: 1, e: 1}?
1/5
What is prob of picking 3 i and 1 v when four letters picked without replacement from vvirvivrrivvvrvvviis?
20/969
What is prob of picking 1 j, 2 x, and 1 z when four letters picked without replacement from {x: 1, z: 2, p: 1, o: 1, j: 2, s: 1}?
0
Calculate prob of picking 2 r when two letters picked without replacement from chrrvv.
1/15
Calculate prob of picking 2 u and 1 h when three letters picked without replacement from bbbuubh.
1/35
What is prob of picking 1 j and 1 d when two letters picked without replacement from {j: 1, g: 1, d: 4, r: 3, h: 2, u: 1}?
2/33
Three letters picked without replacement from {e: 2, u: 3, d: 2, k: 4, j: 2}. What is prob of picking 1 e and 2 d?
1/143
Three letters picked without replacement from jyjjjjjjjkjttjyyktjk. Give prob of picking 1 y and 2 t.
3/380
What is prob of picking 2 p and 1 z when three letters picked without replacement from {z: 2, p: 7, k: 1, m: 10}?
7/190
Four letters picked wi
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{
"pile_set_name": "DM Mathematics"
}
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5.
-(i - 2)**2*(i + 1)**2*(i + 3)
Let t(z) = z**3 + 6*z**2 - 8*z - 4. Let h be t(-7). Let n = h - -1. Suppose -w + 2 + w - 4*w**2 - w**4 + 3*w**n = 0. What is w?
-1, 1
Suppose -27 - 73 = -h. Let p = -97 + h. Let 0 - 8/5*u**2 - 4/5*u - 4/5*u**p = 0. What is u?
-1, 0
Factor 165*a**2 + 4*a - 84*a**2 - a**3 - 73*a**2 - 32.
-(a - 8)*(a - 2)*(a + 2)
Let j = -4253/110 + 194/5. Let m(l) be the second derivative of 0*l**2 - 4*l + 0 + 2/33*l**3 + j*l**4. Factor m(h).
2*h*(9*h + 2)/11
Suppose 5*w = -5, -4*x + x + 11 = -2*w. Suppose x*f - 16 = -f. Factor 11*a**2 + 8*a**4 - 11*a**2 - 5*a**5 - f*a**3 + a**5.
-4*a**3*(a - 1)**2
Let s(b) be the first derivative of -3 - 2*b - 3*b**2 + 2/3*b**3 + 3/2*b**4. Factor s(p).
2*(p - 1)*(p + 1)*(3*p + 1)
Suppose -20 = 3*u - 5, 3*u + 7 = -4*f. Factor 6 + 6/5*w**f - 36/5*w.
6*(w - 5)*(w - 1)/5
Let h(a) be the second derivative of a**5/80 - 5*a**4/2 + 1159*a**3/8 + 3721*a**2/4 - 489*a. Factor h(w).
(w - 61)**2*(w + 2)/4
Factor -25/2 - 1/2*j**3 + 1/2*j + 25/2*j**2.
-(j - 25)*(j - 1)*(j + 1)/2
Factor 1/8*o - 3/8*o**3 + 1/8*o**2 + 0 - 5/8*o**4 - 1/4*o**5.
-o*(o + 1)**3*(2*o - 1)/8
Let o(n) be the second derivative of 23/5*n**5 + 0*n**2 + 2/3*n**4 + 57/5*n**6 + 135/14*n**7 + 0*n**3 + 2*n + 18. Factor o(j).
j**2*(5*j + 2)*(9*j + 2)**2
Factor 0 + 8/7*c**2 - 1/7*c**3 - c.
-c*(c - 7)*(c - 1)/7
Suppose 0 = -29*v + 130 - 43. Let r(i) be the third derivative of -5*i**2 + 0*i + 0*i**v - 1/32*i**4 - 1/80*i**5 + 0. Factor r(h).
-3*h*(h + 1)/4
Let m(q) = -3*q**5 + 6*q**4 + 3*q**3 - 39*q**2 + 51*q - 21. Let h(x) = 3*x**5 - 8*x**4 - 2*x**3 + 40*x**2 - 51*x + 20. Let p(a) = 3*h(a) + 2*m(a). Factor p(y).
3*(y - 3)*(y - 1)**3*(y + 2)
Let b(a) be the second derivative of -a**5/50 - a**4/30 + 2*a**3/15 + 129*a. Factor b(v).
-2*v*(v - 1)*(v + 2)/5
Let t(r) be the first derivative of -5*r**6/12 + 5*r**5 + 2. Factor t(k).
-5*k**4*(k - 10)/2
Let y be ((-2)/(-5))/((-5)/(-50)). Factor -9*a**3 + 3*a**3 - y*a**2 + 19*a - 5*a - 4.
-2*(a - 1)*(a + 2)*(3*a - 1)
Let i be 4/6 + (-4)/(-3). Let f be -15*2/(-20)*4. Factor 0*o - 18*o**4 + 16*o**4 - f*o**i + 2*o + 6*o**3.
-2*o*(o - 1)**3
Suppose 10*t - 7*t - 9 = -3*o, 2*o = -t + 6. Let c be -9*(0 - (-2)/(-3)). Find k such that -9*k - k**2 + 0*k + 3*k**o + k**2 - c = 0.
-1, 2
Suppose -6*k - 52 = 32. Let h = k + 72/5. Suppose -h*z**5 + 4/5*z + 6/5*z**3 - 2/5*z**4 + 0 + 2*z**2 = 0. Calculate z.
-1, 0, 2
Let k be 63/(-6) - (-2 - 13). Factor k - 15/4*c + 3/4*c**2.
3*(c - 3)*(c - 2)/4
Suppose -5*n - 253 = 37. Let r = -54 - n. Factor -3/2*u + 0*u**2 + 0*u**r + 3*u**3 - 3/2*u**5 + 0.
-3*u*(u - 1)**2*(u + 1)**2/2
Let d(h) = 5*h**2 - 27*h - 14. Let i be d(6). Let b = 34 - 31. Factor 2/3*z**b + 0 + 0*z - z**i + 1/3*z**5 + 0*z**2.
z**3*(z - 2)*(z - 1)/3
Let f(s) be the third derivative of 11*s**7/140 - 51*s**6/80 + 83*s**5/40 - 57*s**4/16 + 7*s**3/2 + 4*s**2 - 97. Determine a, given that f(a) = 0.
7/11, 1, 2
Let t = 5968/5 + -1200. Let l = t - -133/20. Determine z so that -5/4*z**3 + z**4 - l*z**5 + 0 + 0*z + 1/2*z**2 = 0.
0, 1, 2
Let j(d) be the second derivative of 3*d**7/28 + 7*d**6/20 - 121*d**5/20 + 57*d**4/4 - 151*d**3/12 + 21*d**2/4 - 14*d + 2. Solve j(r) = 0.
-7, 1/3, 1, 3
Let m(q) = -q**2 - 9*q - 2. Let c be m(-8). What is s in -c*s**2 - s**2 - 5*s + 2*s**2 = 0?
-1, 0
Let r(b) be the second derivative of 5*b**2 + 2*b**3 - 7*b + 1/6*b**4 + 0. Find p, given that r(p) = 0.
-5, -1
Let z be 1 + 6/(-21) + (-64)/168. Let f(k) be the second derivative of z*k**3 + 2*k + 0 + 0*k**2 - 1/12*k**4. Factor f(h).
-h*(h - 2)
Let y(j) be the third derivative of -j**6/1080 + j**5/270 + j**4/216 - j**3/27 - 7*j**2 - 1. Solve y(m) = 0 for m.
-1, 1, 2
Let d(s) = 3*s**4 + 32*s**3 + 35*s**2 - 112*s + 75. Let p(g) = g**4 + 8*g**3 + 9*g**2 - 28*g + 19. Let q(w) = 6*d(w) - 22*p(w). Suppose q(y) = 0. What is y?
-2, 1, 4
Let b(g) be the second derivative of -10*g**7/21 - 3*g**6/2 - 3*g**5/2 - 5*g**4/12 - 77*g. Factor b(l).
-5*l**2*(l + 1)**2*(4*l + 1)
Factor -16/7*v + 40/7*v**2 + 12*v**3 + 8/7*v**5 + 0 + 46/7*v**4.
2*v*(v + 2)**3*(4*v - 1)/7
Let w = 617/70 - 43/5. Let s = w - -1/28. Factor -1/2 + 1/4*o + s*o**2.
(o - 1)*(o + 2)/4
Suppose -2*s = -3*r - 4, -s + 7 = 40*r - 39*r. Determine f, given that -r*f**4 - 2/3*f**5 + 0*f - 4/3*f**3 + 0*f**2 + 0 = 0.
-2, -1, 0
Let m(g) be the third derivative of -g**6/30 + 2*g**5 - 32*g**4 - 1024*g**3/3 + 210*g**2. Find f, given that m(f) = 0.
-2, 16
Factor -4*l**2 - 3/2*l**3 - 2 + 15/2*l.
-(l - 1)*(l + 4)*(3*l - 1)/2
Let u(x) = x**2 + 5*x - 1. Let w be u(1). Let q(o) be the second derivative of 0 - 1/3*o**2 - 1/30*o**w + 1/9*o**3 - 4*o + 1/18*o**4. Factor q(p).
-2*(p - 1)**2*(p + 1)/3
Let b(k) be the third derivative of k**7/10080 - k**6/180 + 2*k**5/15 - 7*k**4/8 - 16*k**2. Let a(m) be the second derivative of b(m). Factor a(l).
(l - 8)**2/4
Let v be 1 - -1 - (8 - 0). Let x = v - -9. Find c, given that c**4 - 3*c**2 + c**x + 3*c**2 = 0.
-1, 0
Let k be -1*((-16)/(-56) - (-37)/(-7)). Factor 39/2*x**4 - 3/2*x - 45/2*x**3 - 6*x**k + 0 + 21/2*x**2.
-3*x*(x - 1)**3*(4*x - 1)/2
Factor -195*f + 390*f**2 + 126*f**3 - 26*f**3 - 92 + 5*f**4 - 905*f + 697.
5*(f - 1)**2*(f + 11)**2
Solve -5*b**2 - 3*b**3 + 26/5 - 1/5*b**4 + 3*b = 0 for b.
-13, -2, -1, 1
Let p be 3/(-2)*14/(-3). Let v(c) = -2*c + 2*c**4 - 3*c**5 + 2*c**4 - 3*c + c. Let o(y) = 5*y**5 - 7*y**4 + 7*y. Let z(s) = p*v(s) + 4*o(s). Solve z(m) = 0.
0
Let m(f) be the second derivative of f**7/525 - f**6/300 - f**2/2 - 12*f. Let z(t) be the first derivative of m(t). Solve z(n) = 0.
0, 1
Let d = 11245 + -11243. Solve -7/2*a + 3 + 1/2*a**d = 0.
1, 6
Let m(h) be the second derivative of -h**6/10 - 3*h**5/4 - 3*h**4/4 + 5*h**3/2 + 6*h**2 - 243*h. Determine o so that m(o) = 0.
-4, -1, 1
Let w(i) be the first derivative of -2*i**4 - 8*i**2 + 0*i - 28/3*i**3 + 8 + 4/5*i**5. Find c such that w(c) = 0.
-1, 0, 4
Let 48 + 93/2*r - 3/2*r**2 = 0. What is r?
-1, 32
Let x(g) be the third derivative of g**8/336 + 17*g**7/210 + 103*g**6/120 + 89*g**5/20 + 12*g**4 + 18*g**3 - 2*g**2 + 58. What is a in x(a) = 0?
-6, -3, -1
Factor -2/5*a**2 + 76/5 - 34/5*a.
-2*(a - 2)*(a + 19)/5
Let w(a) be the first derivative of -a**4/3 - 2*a**3 - 4*a**2 + 6*a - 12. Let m(t) be the first derivative of w(t). Factor m(i).
-4*(i + 1)*(i + 2)
Let v(c) = 6*c**4 - 26*c**3 - 8*c**2 + 26*c. Let w(u) = -u**4 + u**3 + 2*u**2 - u. Let h(y) = -v(y) - 2*w(y). What is r in h(r) = 0?
-1, 0, 1, 6
Let g(i) be the third derivative of -73*i**5/20 - i**4/12 - 10*i**2 + 4. Suppose g(v) = 0. What is v?
-2/219, 0
Let l = 119 + -114. Suppose l*q = 4*q + 2. Determine o so that 0 - 1/4*o + 1/4*o**3 - 1/4*o**4 + 1/4*o**q = 0.
-1, 0, 1
Let i(n) be the first derivative of n**6/21 - 2*n**5/5 + 3*n**4/7 + 8*n**3/3 - 40*n**2/7 - 282. Let i(r) = 0. What is r?
-2, 0, 2, 5
Determine u, given that 210*u + 71*u**2 - 67*u**2 + 6084 + 102*u = 0.
-39
Let x(t) be the first derivative of -2*t**2 + 21*t + 7. Let i be x(4). What is f in 0*f**3 - 2/7*f**i + 4/7*f**4 + 0 + 2/7*f - 4/7*f**2 = 0?
-1, 0, 1
Suppose 4*v = -3*v + 63. Let c be ((-3)/5)/3*(-30)/v. Factor 4/9 + 10/9*u + c*u**2.
2*(u + 1)*(3*u + 2)/9
Let u = 29 - 34. Let l be (-1)/(-3) - u/15. Find o, given that -4/3*o + 2/3 + l*o**2 = 0.
1
Find g such that -21/8*g + 1/8*g**2 - 11/4 = 0.
-1, 22
Factor -1/4*r**4 + 1/2*r**3 + 5/4 + 3*r**2 + 7/2*r.
-(r - 5)*(r + 1)**3/4
Factor -6962/7*b - 118/7*b**2 - 2/21*b**3 - 410758/21.
-2*(b + 59)**3/21
Let l = -1035 - -1040. Suppose -15/2*v**4 + 0*v + 0*v**2 + 5/4*v**3 - 35/4*v**l + 0 = 0. Calculate v.
-1, 0, 1/7
Let o(b) be the third derivative of 0 + 0*b**4 + 1/80*b**6 - 1/60*b**5 - 1/420*b**7 - 7*b**2 + 0*b**3 + 0*b. Find w, given that o(w) = 0.
0, 1, 2
Let v(m) = m**3 + 10*m**2 + 13*m + 10. Let f be v(-9). Let r = f + 30. Determine l, given that 27*l - 24*l - 3*l**2 + r - 4 = 0.
0, 1
Let r(t) be the third derivative of t**8/1512 - t**6/270 + t**4/108 + t**2 + 259. Suppose r(d) = 0. Calculate d.
-1, 0, 1
Let j(s) be the second derivative of s**4/84 - s**3/21 - 4*s**2/7 - 7*s + 7. Find d such that j(d) = 0.
-2, 4
Let a(y) be the second derivative of y**5/160 - 59*y**4/96 + 115*y**3/48 - 57*y**2/16 + 812*y. Factor a(u).
(u - 57)*(u - 1)**2/8
Suppose -362 + 269 = -31*g. What is l in -2*l**5 + 12/7*l**2 + 0*l + 0 + 34/7*l**g - 32/7*l**4 = 0?
-
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{
"pile_set_name": "DM Mathematics"
}
|
3 - 1. What is -3*h(f) - r(f)?
-47*f**3 + 1
Let r(l) = -3*l + 3. Let m(z) = -3*z + 5*z + 1 - 6*z + 3*z. Let b = -8 - -6. Give b*m(u) + r(u).
-u + 1
Let z(q) = 46*q**3 + 3*q. Let r(n) = -2*n**3 - n. Calculate -3*r(x) - z(x).
-40*x**3
Let x(c) = -4*c. Let n be -1 + 4*10/8. Suppose 0*q = 3*q + 2*a + 1, -n*q - 13 = 5*a. Let g(w) = 5*w. Give q*g(d) + 4*x(d).
-d
Let z(t) = -54*t + 3. Let r(j) = 109*j - 7. What is -4*r(c) - 10*z(c)?
104*c - 2
Let z(o) = -24*o - 6. Let w(v) = 1014 - 337 - 337 - 339 + 5*v. Give 14*w(y) + 3*z(y).
-2*y - 4
Let b(d) = 17*d - 17. Suppose 0 = -p + 5*p - j - 18, -j + 7 = p. Suppose -2*i = 4*l + 102, -i + 183 = -p*l + 52. Let h(c) = -4*c + 4. Give l*h(n) - 6*b(n).
2*n - 2
Suppose -503*n + 500*n - 3 = 0. Let z(l) = 3. Let v(c) = c**3 - 1. What is n*z(t) - 3*v(t)?
-3*t**3
Let m be (-312)/108 - ((-8)/18)/(-4). Let i(j) = -10*j + 3. Let n(r) = 49*r - 14. Determine m*n(v) - 14*i(v).
-7*v
Let w(t) = -2. Let x be 30/9*12/20 + 4. Let r(j) = -j - 11. Determine x*r(l) - 33*w(l).
-6*l
Let y(x) = 3*x**3 + x**2 + 3*x - 4. Let w(s) = 4*s**3 + 3*s**2 + 4*s - 5. Determine 4*w(j) - 5*y(j).
j**3 + 7*j**2 + j
Suppose 3*m - 13 = -4*g, -3 = -4*g + m - 2. Let r(s) = 2*s + 595*s**2 - 596*s**2 - s. Let q(k) = -5*k**2 + 4*k. Determine g*q(u) - 4*r(u).
-u**2
Let f(h) = -h**2 + 12*h + 14. Let s(q) = -q**2 + 10*q + 16. What is 5*f(a) - 6*s(a)?
a**2 - 26
Let g(o) = -8*o + 4. Let j(i) = -26*i + 10. Give -16*g(t) + 5*j(t).
-2*t - 14
Suppose 28 = 26*w - 19*w. Let h(d) = -d**2 - 1. Let q(r) = -9*r**2 - 5*r - 11. Let g(b) = 8*b**2 + 4*b + 10. Let m(u) = 6*g(u) + 5*q(u). Give w*h(n) + m(n).
-n**2 - n + 1
Let o(t) = -8*t**3 - 5*t**2 - 4*t - 10. Let k(c) = c**2 + c + 2. Give -10*k(m) - 2*o(m).
16*m**3 - 2*m
Let w(z) = z + 2. Let p(j) = -106*j + 7. Determine p(b) - 3*w(b).
-109*b + 1
Suppose 80*n - 30 = 83*n. Let z(t) = 1. Let r(y) = -4*y**3 + 10. Give n*z(d) + r(d).
-4*d**3
Let g(l) = 9*l**2 - 12*l - 4. Let m(t) = -10*t**2 + 15*t + 5. Give 4*g(v) + 3*m(v).
6*v**2 - 3*v - 1
Let x(a) = 4*a + 21. Let o(h) = h + 5. Let q(l) = -9*o(l) + 2*x(l). Let j(i) = -2*i - 3. Give 2*j(w) - 3*q(w).
-w + 3
Let h(g) = 6*g + 9. Suppose 0 = 3*z + 3*z + 18. Let c(s) = -27*s - 31. Let w(q) = -9*q - 10. Let b(n) = z*c(n) + 8*w(n). Determine -5*b(k) + 7*h(k).
-3*k - 2
Let v(r) = -13*r + r + 6*r + 8*r. Suppose j - 2 = -7. Let k(y) = -3*y. Suppose 2*p + 5*d = -17, -36 = 4*p - 3*d - 15. Calculate j*k(n) + p*v(n).
3*n
Let f(q) = 3*q. Let u(s) = -5*s - 20. Let n(c) = 5*c + 25. Let y(o) = -4*n(o) - 5*u(o). Determine 7*f(l) - 3*y(l).
6*l
Let s = -5 - -7. Let h = s + 3. Let u(n) = -6*n**3 - 4*n**2 + 4*n - 4. Let t = 7 - 3. Let a(y) = 7*y**3 + 5*y**2 - 5*y + 5. Calculate h*u(z) + t*a(z).
-2*z**3
Let t(g) = -g + 1. Let p(u) = -53 + 6*u + 2*u**2 + 33 + 14. Calculate -p(l) - 4*t(l).
-2*l**2 - 2*l + 2
Let o(r) = -r**2 - 3*r + 4. Let d be o(-4). Suppose 2*t - 2*l - 5 - 7 = 0, -4*l = 5*t - 21. Let w(j) = -4*j - t + 10 + d. Let i(m) = -m + 1. Give 5*i(g) - w(g).
-g
Let k(h) = -4*h + 3. Suppose 357*j + 21 = 364*j. Let m(c) = 5*c - 2. Give j*k(t) + 2*m(t).
-2*t + 5
Let q(u) = u**2 + 10*u + 4. Let h be q(-9). Suppose 3 = -w - 0*w. Let i(o) = 9*o**3 - 7*o - 2. Let v(k) = -5*k**3 + 4*k + 1. Determine h*v(n) + w*i(n).
-2*n**3 + n + 1
Let f(p) = 6*p + 6. Let k(h) = 6*h - 19. Let z(y) = -6*y + 15. Let l(b) = 5*k(b) + 6*z(b). Calculate 4*f(c) + 5*l(c).
-6*c - 1
Let d be -9 + (-17)/(68/(-24)). Let p(z) = z + 9. Let s(j) = -1. What is d*s(h) - p(h)?
-h - 6
Let h(z) = 11*z**2 + 8*z - 14. Let w(r) = 7*r**2 + 5*r - 9. Suppose 40*i = 42*i - 16. Determine i*w(q) - 5*h(q).
q**2 - 2
Let j(n) = 35*n. Let u(q) be the first derivative of 5*q**2/2 - 67. Give -2*j(s) + 15*u(s).
5*s
Let m(x) = -2*x**3 + 9*x**2 + 7*x + 9. Suppose -44*i + 2*i = 378. Let n(w) = 3*w - 3 - 3*w**3 + 4*w**2 + 2*w**3 + 7. Calculate i*n(r) + 4*m(r).
r**3 + r
Suppose -47 = -21*j - 26. Let s(u) = 3*u + 2. Suppose 4*l = -3*c - 0*c + 18, c = 3*l - 7. Let i(n) = -4 + 4 - n. Give c*i(d) + j*s(d).
d + 2
Let r(d) = d**2 - d. Let b(h) = h**3 - 7*h**2 + 2*h - 12. Let o be b(7). Let x(c) = -172 + 172 + c - 2*c**o. Give -3*r(f) - 3*x(f).
3*f**2
Let i(c) = -3 - c - 10*c**2 - 6 + 4 + 2*c**2. Let q = 402 - 408. Let t(z) = 9*z**2 + z + 6. Give q*i(a) - 5*t(a).
3*a**2 + a
Let v(b) = 0*b**2 - 6*b - 4*b - b**2 + 19*b - 10*b. Let r(k) = -k**2 + 2*k. Calculate 2*r(a) + 4*v(a).
-6*a**2
Let z(v) = -15*v**3 + v**2 - 9*v + 17. Let q(b) = -7*b**3 - 4*b + 8. What is 13*q(s) - 6*z(s)?
-s**3 - 6*s**2 + 2*s + 2
Let n(x) = -3*x - 4. Let j be -4 - (2/(-9) + 64/(-36)). Let a(c) = 4*c + 3. Calculate j*n(z) - 3*a(z).
-6*z - 1
Let r(b) = -b**3 + b**2 + b. Let x(g) = 4*g**3 - 5*g**2 - 5*g + 6. What is 5*r(c) + x(c)?
-c**3 + 6
Let x(f) = 2*f**2 - 7*f - 8. Let l(j) = -j**2 + 8*j + 10. What is -3*l(u) - 4*x(u)?
-5*u**2 + 4*u + 2
Let d = 5 + -10. Let f(r) = -60*r + 42. Let l(w) = 9*w + 135. Let v(u) = -5*u - 53. Let q(z) = 2*l(z) + 5*v(z). What is d*f(g) + 42*q(g)?
6*g
Let x = 657 + -653. Let f(z) = 11*z**3 + 3*z**2 + 7. Let r(d) = -5*d**3 - 2*d**2 - 4. What is x*f(b) + 7*r(b)?
9*b**3 - 2*b**2
Let m(z) = 7*z**3 + 12*z**2 - 3*z + 3. Let h(w) = 21*w**3 + 36*w**2 - 8*w + 8. Calculate 3*h(r) - 8*m(r).
7*r**3 + 12*r**2
Let f(a) = -4 - 27*a**3 + 12*a**2 - 8 + 5*a**3. Suppose 17*x + 25 = 22*x. Let j(w) = 6*w**3 + 6 - 1 - 5*w**2 + 3*w**3. Determine x*f(z) + 12*j(z).
-2*z**3
Let m be (3/(-2))/((-184)/(-1104)). Let l(f) = -4*f + 1. Suppose 4*b = -0*b + 8. Let a(k) = -17*k + 5. Calculate b*a(s) + m*l(s).
2*s + 1
Let y(l) = -9*l. Suppose -75*q + 83*q = 16. Let x(z) = 17*z. What is q*x(n) + 5*y(n)?
-11*n
Let q(u) = 2*u + 2. Let s(f) = 3*f + 19. Let z(j) = 3*j + 22. Let w(y) = -6*s(y) + 5*z(y). What is 5*q(t) + 3*w(t)?
t - 2
Let t(y) = -9*y**3 - 17*y**2 - 6*y + 12. Let f(k) = 13*k**3 + 25*k**2 + 9*k - 18. What is -5*f(d) - 7*t(d)?
-2*d**3 - 6*d**2 - 3*d + 6
Let k(f) = 971*f + 2. Let a(i) = -486*i - 1. What is -5*a(s) - 3*k(s)?
-483*s - 1
Let y(i) = 13*i - 10. Let t(k) = k - 6 + 5 - 2 + 3*k. Let v be (13/26)/(4/(-56)). Let m = 5 + -3. Give m*y(x) + v*t(x).
-2*x + 1
Let r(q) = 100*q**2 + 3*q - 1. Let s(t) = -102*t**2 - 4*t + 1. Determine -3*r(c) - 2*s(c).
-96*c**2 - c + 1
Let x(d) = -1445*d**3 - 6*d**2 + 6*d - 6. Let i(s) = 4336*s**3 + 17*s**2 - 17*s + 17. Determine -6*i(c) - 17*x(c).
-1451*c**3
Let y(h) = -2*h + 7*h - 2393 + 2388 - 2*h. Let l(z) = -1. Determine 4*l(p) - y(p).
-3*p + 1
Let j(d) be the third derivative of -d**4/12 - d**3/6 - 6*d**2. Let f be (-86)/(-6) + (-3)/9. Let p(x) = -10*x - 4. Determine f*j(t) - 3*p(t).
2*t - 2
Let c(s) = s - 1. Let a(d) = 13*d**3 - 28*d + 10. Let w(h) = 4*h**3 - 9*h + 4. Let k(p) = 2*a(p) - 7*w(p). Let o = 3 + -5. Give o*k(b) + 14*c(b).
4*b**3 + 2
Let y = -441 + 468. Let l(q) = -q**3 + 6*q**2 - 4*q - 4. Let m(f) = -6*f**3 + 42*f**2 - 27*f - 27. What is y*l(x) - 4*m(x)?
-3*x**3 - 6*x**2
Let u(x) be the first derivative of 3*x**2/2 - 3*x - 1. Let d(l) = -l - 4. Let c(w) = 9*w + 20. Let s(q) = -c(q) - 6*d(q). Determine -3*s(f) - 4*u(f).
-3*f
Let i = 54 + 12. Suppose i = -u + 61. Let l(j) = -2*j - 5. Let p(w) = w + 10. Let n(r) = 11. Let x(f) = 4*n(f) - 6*p(f). What is u*x(a) + 16*l(a)?
-2*a
Let y(l) = 5*l**2 + 4*l - 3. Let r(g) = 5*g**2 + 3*g - 2. Suppose -15 = -4*f + 9*f. What is f*y(t) + 4*r(t)?
5*t**2 + 1
Let c(z) = -7*z**3 - z**2 + 8*z. Let w(i) = i**2 + 2*i. Calculate -c(k) + 4*w(k).
7*k**3 + 5*k**2
Let o(w) be the first derivative of -w**4/4 - w**3/3 + w**2/2 + 348. Let n(i) = 5*i**2 - 5*i. What is -n(b) - 5*o(b)?
5*b**3
Let b(r) = -r. Let q(i) = -i + 9. Let z be q(6). Let y be -66 - (0 - 10/5). Let v be (-6)/21 + y/(-28). Let s(m) = 2*m. What is v*s(k) + z*b(k)?
k
Let d(p) = -5*p**2 - 16*p + 1. Let s(f) = 6*f**2 + 17*f - 1. Determine 5*d(z) + 4*s(z).
-z**2 - 12*z + 1
Let w(i) = -i + 1. Let t(y) = 191*y**2 + 955*y - 955. Give -t(l) - 955*w(l).
-191*l**2
Let q(i) = i**3 - 7*i**2 - 6*i - 1. Let d(m) = -2*m**3 + 14*m**2 + 10*m + 2. Determine 6*d(n) + 11*q(n).
-n**3 + 7*n**2 - 6*n + 1
Let j(h) = 2*h + 2. Let g(s) = 7*s + 10. Calculate g(y) - j(y).
5*y + 8
Let u(n) = 118*n**2 - 80*n. Let h(o) = -39*o**2 + 25*o. Determine -16*h(l) - 5*u(l).
34*l**2
Let q(u) = -u**2. Let i(w) = 351*w**3 - 6*w**2. Determine i(s) - 5*q(s).
351*s**3 - s**2
Let o(u) = -11*u + 1 - 7 + 21
|
{
"pile_set_name": "DM Mathematics"
}
|
.2, c?
-0.2
Suppose 0 = 5*z + 25, z + 37 = k + 3*z. Suppose 9 - k = -3*j + 5*q, 0 = 4*j - 4*q - 40. Which is the biggest value? (a) 4 (b) j (c) 1/7 (d) -2/9
b
Suppose -4*c - 3*h + 158 = 14, 144 = 4*c - 3*h. What is the biggest value in 0.5, -4, 7, c?
c
Let g = 4001 + -4001.2. What is the smallest value in 2/5, 21, g?
g
Let j be (-8)/(-14)*(-14)/(-20). Let y = -2.0554 - -0.0554. What is the third smallest value in j, -0.3, 0, y?
0
Suppose 4*y + 6*x - 3*x - 40 = 0, -3*x = 2*y - 26. Suppose 17 - 2 = -5*s. Let w be s/y*6/9. What is the second smallest value in w, 2, 1?
1
Let k = -1.32 - -59.32. Let d = 67 - k. Let w = d + -11. What is the smallest value in 4, -2/15, w?
w
Let x = -9.4 + -2.6. Let a be 1/2*(-318)/6. Let n = -26 - a. What is the second biggest value in -3/8, n, x?
-3/8
Let b(h) = 4*h**3 - h**2 + h - 1. Let q be b(1). Let u = 50 + -53. Let g = 4/143 + 266/715. What is the biggest value in g, u, q?
q
Let k = 130 - 92. Let l = -37.49 - -0.49. Let t = k + l. Which is the second smallest value? (a) -1 (b) 0.03 (c) t
b
Let o(z) = 2719*z - 16319. Let u be o(6). Let p = 2.6 - 3. Which is the smallest value? (a) -2/7 (b) p (c) -99 (d) u
c
Suppose 3*q + 30*q - 288 = -15*q. What is the second smallest value in 5, 1, q?
5
Suppose -4*n = -9*n - 45. Let k(o) = 2*o**2 + 15*o - 9. Let v be k(n). Suppose 4 = -16*u + v*u. What is the smallest value in -0.1, u, -4?
-4
Let t = -2.6 - -3. Let m = -22 - -8. Let j(s) = -37*s**2 + 2185*s - 120. Let r be j(59). Which is the fourth smallest value? (a) 3 (b) r (c) m (d) t
a
Let t = -0.04198 + 0.10198. Which is the smallest value? (a) t (b) -0.1 (c) 0.1 (d) 88
b
Suppose 0 = 10*n - 689 - 511. Suppose 7*m = -17*m + n. What is the biggest value in 1, -3, -107, m?
m
Suppose 0 = 7*q - 2*q - 315. Let j = q - 445/7. What is the biggest value in 1/6, 2/7, j, 1?
1
Let j = -5445 - -5455. What is the second biggest value in -0.24, 2, j, -1/2?
2
Suppose -3*j = 3*t - 12, 2*j - 17 = 4*t + 9. Let i be -7 + 1/((-78)/42 - -2). What is the biggest value in 21, i, j?
21
Let o = -2865 + 2842. Let m = 0.234 - 0.034. Which is the third biggest value? (a) m (b) o (c) 5
b
Let i = 3363 - 3358. What is the biggest value in -0.97, 1.6, i?
i
Let z = -122 + 126.06. Let r = -0.44 - z. Let j = r + 4. What is the smallest value in 2, j, -2/13?
j
Let i = 80/7 + -873/77. Let r be 10 - (-721)/(-70) - 688/(-160). Which is the second biggest value? (a) i (b) r (c) 2/7
c
Let i = -14 - -14.1. Let m = 17048/11 - 1550. What is the smallest value in m, 16, i?
m
Let m be (3/(-3))/(3/(-12)). Let x be (-3)/4*(60 - 64). Let u be (-48)/(-21) + -2*(m - x). What is the third smallest value in 0.2, -3, u?
u
Let j = 47302 - 47301. Let o(l) = -l + 10. Let s be o(6). Which is the second biggest value? (a) -3/7 (b) s (c) j (d) -2
c
Let g = 96137 + -96132. Suppose 26 = 2*q - 4*u, -4*q + 5*u + 28 = -24. Suppose 3 = 4*x - q. What is the smallest value in x, -71, g?
-71
Let t be (-161)/(-69) + 18/(-6). What is the smallest value in -1.9, t, 1.3?
-1.9
Let q = -13 + 5. Let y = 700.15 + -702.15. Which is the third smallest value? (a) q (b) y (c) -1/5
c
Let t = 17 + -16.8. Which is the biggest value? (a) -942 (b) t (c) -2
b
Let w = -1.51 - -101.51. Let v = 100.02 - w. Suppose -4*o = -o + 9, 5*h + 5*o + 15 = 0. Which is the biggest value? (a) v (b) 0.1 (c) h
b
Let y = 3630 + -3628. What is the third smallest value in y, 0, -34/9?
y
Let v be 5/(-1) - (-1674)/378. Which is the second smallest value? (a) -2/5 (b) v (c) 6.5 (d) -46
b
Let x = 2.1 - 2. Let s = -582 + 322. Let n = s + 260.18. Which is the second biggest value? (a) x (b) -3 (c) n
a
Let k = 297.965 - 296. Let u = k - -0.035. What is the second biggest value in -3, 1, u, -6?
1
Let b(a) = a - 6. Let f be b(-6). Let y = 36.639 + -33.639. What is the third smallest value in y, 1/4, f?
y
Let x = -425 - -2128/5. Suppose -3*b + b - 6 = 0. Let i = -0.6 + -0.4. What is the third biggest value in x, b, i, -0.2?
i
Let r = -3721.9 - -3722. Which is the fifth smallest value? (a) -3 (b) -0.4 (c) 12 (d) r (e) -4
c
Let f = 6 + -6. Let o be 3 + f/(-2) + (17 - 15). Let r = 0.59 - 1.09. Which is the third biggest value? (a) r (b) -0.3 (c) 1 (d) o
b
Let w = -7084 - -7086. Which is the third biggest value? (a) 3 (b) -11/5 (c) w (d) -3/16
d
Let z = 879.83 - 875.8781. Let o = -0.0481 - z. What is the third biggest value in -0.8, o, -6?
-6
Let x be (-2)/(-7) + 0 + 182/49. Suppose x*z + 2*j + 8 = 0, -6*z - j - 4 = -2*z. Which is the third biggest value? (a) z (b) 5 (c) -0.3
c
Let g = 0.0732 - -0.4268. Let d = -432 + 376. What is the fourth biggest value in d, -3, -2/11, g?
d
Let i = -0.1 + 0. Let z = -52.44 + 49.44. What is the fourth smallest value in z, i, 2, -4?
2
Suppose -19*w + 126*w - 428 = 0. Which is the second biggest value? (a) 0.09 (b) 0.2 (c) w (d) 5
c
Let f be (-1 - (-2)/3)/(-1). Let d(i) = -942*i**2 - 13*i + 13. Let a be d(1). Let o = -1028 - a. What is the third smallest value in f, 0.2, o?
f
Suppose -414 = 192*z - 240 + 402. What is the fifth smallest value in z, -2/7, 4, 4/5, 8?
8
Let u = 45.406 - 45.5. Let w = u + -38.906. Which is the third biggest value? (a) w (b) -0.1 (c) 5
a
Let h = -21200 - -21207. What is the second smallest value in -555, h, -2/17, 3?
-2/17
Suppose 129 = 47*o - 55*o - 79. What is the second biggest value in 0.3, -2, o, -6?
-2
Suppose j = 3*j + 2*d - 362, -3*d + 361 = 2*j. Let t = j + -184. Let v be (-4)/(-5) + 0 - 1. Which is the biggest value? (a) v (b) 2 (c) t
b
Let p = 67.1 + 18.9. Let k = -84 + p. Which is the biggest value? (a) -3/2 (b) k (c) -1/4 (d) -0.4
b
Let g = 2770 + -2768. What is the fourth biggest value in 3, -1/12, g, -2, -5?
-2
Let y = -3266 + 3265. What is the biggest value in -257, 0.5, 3, y?
3
Let n be 9694/1628 + 0 + -6*1. Let h = -128/117 - -7123/2340. Let r = h + -11/5. Which is the second biggest value? (a) r (b) n (c) 0.3
b
Suppose 0 = -4*l - 3*m + 26, 5*l + 1642*m - 1639*m - 34 = 0. Which is the smallest value? (a) 5 (b) 1/8 (c) l (d) 0.2
b
Let v = 2031 - 2030.5. Which is the biggest value? (a) -0.2 (b) v (c) 3/5 (d) 149
d
Suppose -63 = 6*n - 81. Let q be ((-3)/362)/(n - (-45)/(-20)). Which is the third biggest value? (a) -2/5 (b) 3 (c) q
a
Let o = 2001 + -14008/7. What is the second smallest value in 11, -0.5, -40, o?
-0.5
Let x = -5226 + 5281. Which is the fourth biggest value? (a) 0.2 (b) 3/4 (c) x (d) -0.5
d
Let v = 19103.182 - 19105. Which is the third biggest value? (a) -3 (b) -5 (c) v (d) 3/7 (e) 1
c
Suppose 13*o - 62 = 5*y, 2*y + 3*o = -2*o - 86. What is the third biggest value in 0.1, y, 6, -4, 3?
0.1
Let k = -21 - -32. Let f = 15 - k. Let h = 5591.7 - 5592. Which is the smallest value? (a) f (b) 0 (c) h
c
Let k = -869/16 - -2591/48. What is the fifth biggest value in -1/5, -2/3, k, 2, 0.05?
-2/3
Let j = -27 - -17. Let f be -188*j/240 + -8. Let h = -3 - -3.1. Which is the second smallest value? (a) h (b) f (c) -0.3
b
Let w = -1388.9 - -1386.9. Which is the smallest value? (a) w (b) -7 (c) 1 (d) 52
b
Let j = 3997.9 + -3998.3. What is the second smallest value in 4, 29, j, -0.2, 2?
-0.2
Let i = 12 + -3. Let c = i + -9.5. Suppose 4*u - 2*b = -1 + 3, 3*u + 15 = -4*b. What is the third biggest value in u, 2/7, c?
u
Let w be (7*(1 - 61/49))/((-40)/(-420)). What is the fourth smallest value in 1, 5, w, 2/9, -0.4?
1
Let u = -1712 - -1715. What is the third biggest value in 0.03, u, -4/19?
-4/19
Let f be 4/4*(-7)/35 + 36/380. What is the third biggest value in 1/5, 3, 0.1, f, 1/4?
1/5
Suppose -10 = 2*g, 13*m + 4*g - 384 = 9*m. Which is the second biggest value? (a) m (b) -1 (c) 0 (d) -2/19
c
Let c be 5/130*-13*2. What is the third smallest value in -0.2, 10/57, c?
10/57
Let o = -9652 - -86870/9. Let n be 568/(-36) - (-2)/(-9). Which is the second smallest value? (a) o (b) 0.3 (c) n
a
Let k = 3785 - 4306. What is the fourth smallest value in k, -0.4, -2/7, -0.2?
-0.2
Let r = 1145 + -1145.6. Which is the third smallest value? (a) -163 (b) r (c) -1/5
c
Suppose -336 = -5*x - 2*z, 0*x + z + 195 = 3*x. Which is the second biggest value? (a) x (b) 2 (c) -5
b
Let k = 0.3937 - 4.3937. Let w = 10 + -8. Let t = w - 1.8. Which is the third biggest value? (a) t
|
{
"pile_set_name": "DM Mathematics"
}
|
o micrograms.
8339.875
How many millilitres are there in seven eighths of a litre?
875
What is 1/5 of a kilometer in meters?
200
How many microseconds are there in 4.546816 hours?
16368537600
Convert 475.3807g to micrograms.
475380700
How many millilitres are there in 11/2 of a litre?
5500
What is 2.8345 tonnes in milligrams?
2834500000
What is twenty-one halves of a hour in seconds?
37800
Convert 0.8315018ng to micrograms.
0.0008315018
What is 851282.3 decades in millennia?
8512.823
What is 4071.422m in centimeters?
407142.2
What is 7215.994us in nanoseconds?
7215994
How many minutes are there in four fifteenths of a week?
2688
How many months are there in sixty-seven quarters of a decade?
2010
How many meters are there in 315.7155 centimeters?
3.157155
What is 32.14588mg in kilograms?
0.00003214588
How many micrograms are there in 0.3078964g?
307896.4
Convert 79696.71 minutes to microseconds.
4781802600000
How many kilograms are there in three tenths of a tonne?
300
How many seconds are there in 11/10 of a hour?
3960
Convert 5856.693 decades to millennia.
58.56693
How many millimeters are there in twenty-one fifths of a meter?
4200
How many micrometers are there in three tenths of a millimeter?
300
Convert 627510.2 millilitres to litres.
627.5102
How many seconds are there in 2/45 of a hour?
160
Convert 80271.73um to nanometers.
80271730
How many hours are there in four thirds of a day?
32
Convert 0.5937144 days to seconds.
51296.92416
How many millilitres are there in fourty-three halves of a litre?
21500
What is 1/20 of a meter in millimeters?
50
How many millilitres are there in 69307.15l?
69307150
How many litres are there in 4011.316 millilitres?
4.011316
How many litres are there in 6326.44 millilitres?
6.32644
How many months are there in 51/5 of a decade?
1224
How many kilograms are there in fourty-nine fifths of a tonne?
9800
How many weeks are there in 4045717.2 days?
577959.6
What is 17/4 of a litre in millilitres?
4250
How many grams are there in three fifths of a kilogram?
600
What is 7/6 of a millennium in months?
14000
What is three fifths of a millennium in years?
600
How many meters are there in 87967.39 micrometers?
0.08796739
How many nanometers are there in 923.0484um?
923048.4
Convert 0.8124522 centimeters to kilometers.
0.000008124522
How many centuries are there in 1.60838 millennia?
16.0838
What is ninety-one quarters of a tonne in kilograms?
22750
How many centimeters are there in fourty-two fifths of a meter?
840
How many kilometers are there in 726433.7 centimeters?
7.264337
What is 1/6 of a century in months?
200
What is 21/2 of a tonne in kilograms?
10500
Convert 0.8681445 days to nanoseconds.
75007684800000
What is 53.23734g in nanograms?
53237340000
How many years are there in 35902.3 decades?
359023
What is 1/10 of a litre in millilitres?
100
How many milliseconds are there in 7/2 of a second?
3500
What is 568.728 microseconds in minutes?
0.0000094788
How many milligrams are there in twenty-nine fifths of a gram?
5800
What is 4/7 of a week in minutes?
5760
How many milligrams are there in thirty-four fifths of a gram?
6800
What is seventeen halves of a microgram in nanograms?
8500
Convert 67.83965 millennia to years.
67839.65
How many nanometers are there in 66998.6km?
66998600000000000
How many millilitres are there in five quarters of a litre?
1250
Convert 24.64741 centuries to millennia.
2.464741
What is 21/4 of a kilogram in grams?
5250
How many weeks are there in 168635.9493 milliseconds?
0.00027882928125
How many years are there in fifteen quarters of a millennium?
3750
What is fourty-five halves of a hour in seconds?
81000
How many days are there in 63184.86ns?
0.00000000073130625
How many meters are there in 2/125 of a kilometer?
16
What is 2/75 of a day in seconds?
2304
Convert 4.356569 meters to micrometers.
4356569
How many litres are there in 565.685ml?
0.565685
How many nanometers are there in 0.9574052 centimeters?
9574052
What is 1/15 of a century in months?
80
How many microseconds are there in 64571.55ms?
64571550
What is five quarters of a minute in milliseconds?
75000
What is 21/4 of a litre in millilitres?
5250
Convert 30340.64mg to tonnes.
0.00003034064
How many weeks are there in 154169.19 seconds?
0.254909375
How many micrometers are there in 1.768781 nanometers?
0.001768781
How many seconds are there in twenty-seven halves of a hour?
48600
How many meters are there in twenty-nine fifths of a kilometer?
5800
What is 26542.42km in micrometers?
26542420000000
How many milligrams are there in 549.5951 nanograms?
0.0005495951
Convert 0.6008526 millimeters to nanometers.
600852.6
How many decades are there in eleven halves of a century?
55
How many months are there in 57.01926 centuries?
68423.112
What is fifty-one halves of a millennium in decades?
2550
What is 7/4 of a tonne in kilograms?
1750
What is 3/25 of a meter in millimeters?
120
What is 32/5 of a decade in years?
64
What is 1/6 of a decade in months?
20
What is three eighths of a litre in millilitres?
375
What is 18/5 of a litre in millilitres?
3600
Convert 387072.3 kilometers to millimeters.
387072300000
How many months are there in five eighths of a decade?
75
What is thirteen quarters of a milligram in micrograms?
3250
What is 55/4 of a litre in millilitres?
13750
What is nine tenths of a millimeter in micrometers?
900
How many millilitres are there in thirty-four fifths of a litre?
6800
What is 6/25 of a meter in millimeters?
240
Convert 205800.96 minutes to hours.
3430.016
What is eleven halves of a meter in millimeters?
5500
What is 0.6191536 centimeters in micrometers?
6191.536
How many microseconds are there in 39.52745 weeks?
23906201760000
Convert 0.3159915 tonnes to grams.
315991.5
What is 3/8 of a litre in millilitres?
375
What is 3/50 of a milligram in micrograms?
60
Convert 92456.9ml to litres.
92.4569
How many micrometers are there in 5/4 of a centimeter?
12500
What is 0.9341636 nanoseconds in seconds?
0.0000000009341636
Convert 697729.7km to nanometers.
697729700000000000
What is 770.5603 nanoseconds in milliseconds?
0.0007705603
How many millilitres are there in 55/2 of a litre?
27500
How many grams are there in fourty-eight fifths of a kilogram?
9600
How many months are there in 61559.52 years?
738714.24
How many kilograms are there in 0.4126287 milligrams?
0.0000004126287
How many centimeters are there in 3/25 of a meter?
12
How many millilitres are there in 15/4 of a litre?
3750
How many micrometers are there in 5/4 of a centimeter?
12500
How many microseconds are there in 8428.024 days?
728181273600000
How many millennia are there in 84.60198 years?
0.08460198
What is seventeen halves of a milligram in micrograms?
8500
What is 0.0653587 nanometers in centimeters?
0.00000000653587
How many centimeters are there in 3/16 of a kilometer?
18750
What is 95096.67 centimeters in nanometers?
950966700000
Convert 7872.13 micrograms to milligrams.
7.87213
Convert 959058.1 nanograms to tonnes.
0.0000000009590581
How many litres are there in 0.091771ml?
0.000091771
How many millilitres are there in nineteen quarters of a litre?
4750
How many micrometers are there in 886566.1 kilometers?
886566100000000
How many months are there in three tenths of a decade?
36
What is five sixths of a day in hours?
20
Convert 208893.7ug to milligrams.
208.8937
What is twenty-one halves of a millisecond in microseconds?
10500
What is eleven quarters of a milligram in micrograms?
2750
What is 36.73077 minutes in milliseconds?
2203846.2
How many minutes are there in 6/5 of a day?
1728
How many months are there in one sixth of a century?
200
What is 21/5 of a litre in millilitres?
4200
What is 2.789711ml in litres?
0.002789711
How many decades are there in 53/5 of a century?
106
What is thirteen quarters of a meter in millimeters?
3250
What is eight fifteenths of a week in minutes?
5376
What is twenty-six fifths of a litre in millilitres?
5200
What is 5/8 of a litre in millilitres?
625
How many nanoseconds are there in thirteen quarters of a microsecond?
3250
What is 7359.955 millimeters in nanometers?
7359955000
What is 45.49133 centuries in decades?
454.9133
How many years are there in twenty-seven quarters of a millennium?
6750
Convert 17
|
{
"pile_set_name": "DM Mathematics"
}
|
multiple of 2740?
True
Is 13 a factor of 8294741?
True
Is 66 a factor of 828014946?
True
Does 479 divide 263224870?
True
Is 21 a factor of 125535954?
False
Is 1025155757 a multiple of 367?
False
Is 12 a factor of 325172586?
False
Is 102 a factor of 1238315667?
False
Is 176 a factor of 539748176?
True
Does 15 divide 23134493?
False
Does 66 divide 8397161?
False
Does 129 divide 1047289209?
True
Does 556 divide 45223372?
True
Is 19792072 a multiple of 19?
True
Is 48865200 a multiple of 200?
True
Is 52 a factor of 357656?
True
Is 78953420 a multiple of 455?
True
Does 23 divide 53705069?
True
Is 31859133 a multiple of 13?
False
Is 85022720 a multiple of 2048?
True
Does 13 divide 25859913?
False
Is 55 a factor of 7768886?
False
Is 263 a factor of 17291987?
True
Is 218426907 a multiple of 38?
False
Is 29947610 a multiple of 322?
True
Is 684472 a multiple of 134?
True
Does 7 divide 61191438?
True
Is 75 a factor of 1222180126?
False
Is 215925109 a multiple of 22?
False
Is 1969431573 a multiple of 339?
False
Is 13 a factor of 3342037088?
True
Does 17 divide 1344376?
False
Is 13 a factor of 18684874?
True
Is 10340936 a multiple of 5?
False
Does 1094 divide 21478179?
False
Is 3 a factor of 66029045?
False
Does 19 divide 310078309?
True
Is 114 a factor of 1674544991?
False
Does 89 divide 2742624?
True
Does 2 divide 82086451?
False
Is 31 a factor of 1569406?
True
Is 227991882 a multiple of 544?
False
Does 131 divide 437367858?
False
Does 41 divide 6907639?
True
Does 8101 divide 437838085?
False
Is 22053656 a multiple of 8?
True
Does 247 divide 297287224?
True
Does 166 divide 121711532?
True
Does 71 divide 121542674?
False
Is 34383831 a multiple of 789?
True
Does 8 divide 646406783?
False
Is 332 a factor of 52230572?
True
Is 13998924 a multiple of 17?
False
Does 45 divide 17552249?
False
Is 21 a factor of 629571978?
True
Is 8075813 a multiple of 9?
False
Is 841 a factor of 902393?
True
Is 5382112 a multiple of 632?
True
Does 10 divide 85778669?
False
Is 29 a factor of 3099672?
False
Is 703123114 a multiple of 51?
False
Does 96 divide 29234987?
False
Is 917 a factor of 156705213?
True
Is 24 a factor of 2524896?
True
Is 1519 a factor of 485051637?
True
Does 135 divide 8196323?
False
Is 104802670 a multiple of 41?
False
Is 6547 a factor of 406116957?
True
Does 21 divide 631229697?
True
Does 2533 divide 58517366?
True
Is 3 a factor of 786954?
True
Is 133364264 a multiple of 24?
False
Does 104 divide 76710991?
False
Is 764 a factor of 1187737438?
False
Is 2531 a factor of 53345887?
True
Is 575 a factor of 1937272175?
True
Does 8 divide 11482952?
True
Is 23306637 a multiple of 2263?
True
Is 34 a factor of 1431020404?
False
Is 31785800 a multiple of 2060?
True
Is 93 a factor of 53377443?
True
Does 730 divide 9374324?
False
Does 94 divide 272254091?
False
Is 62675220 a multiple of 102?
False
Is 101230160 a multiple of 113?
False
Is 429104595 a multiple of 1551?
False
Is 81 a factor of 30447415?
False
Is 70136429 a multiple of 6?
False
Does 139 divide 771282?
False
Does 572 divide 218605816?
True
Does 24 divide 1289730120?
True
Is 8 a factor of 29293016?
True
Does 348 divide 352950648?
True
Does 1787 divide 323086026?
True
Is 2 a factor of 1501979?
False
Is 1536197700 a multiple of 150?
True
Does 381 divide 2166391613?
False
Does 192 divide 953910144?
True
Is 79058740 a multiple of 113?
False
Is 573 a factor of 538713972?
True
Is 33838152 a multiple of 2078?
True
Does 1360 divide 56698400?
True
Is 138581988 a multiple of 70?
False
Does 40 divide 10290720?
True
Is 126721490 a multiple of 310?
True
Does 20 divide 1307826229?
False
Is 26 a factor of 196880008?
True
Is 146529201 a multiple of 2342?
False
Is 81 a factor of 36060675?
False
Is 49752321 a multiple of 945?
False
Is 20374713 a multiple of 1708?
False
Does 31 divide 2781177?
False
Is 165 a factor of 13892670?
True
Does 2474 divide 901375168?
False
Is 5 a factor of 26990903?
False
Does 332 divide 4385863?
False
Is 12 a factor of 251964577?
False
Is 244092126 a multiple of 65?
False
Is 108297147 a multiple of 21?
True
Does 545 divide 38709876?
False
Is 1309 a factor of 709855378?
False
Does 26 divide 13885921?
False
Is 165661262 a multiple of 4287?
False
Is 7014 a factor of 517866659?
False
Does 3 divide 114557337?
True
Does 25 divide 621087417?
False
Is 53336727 a multiple of 43?
True
Is 4 a factor of 8229041?
False
Is 6569209 a multiple of 205?
False
Is 36774928 a multiple of 196?
False
Is 1085 a factor of 36733764?
False
Does 369 divide 13581783?
True
Is 810 a factor of 2139982477?
False
Is 1143 a factor of 397986172?
False
Is 2542 a factor of 1691118882?
True
Is 220151508 a multiple of 886?
True
Does 4628 divide 122012592?
True
Is 20 a factor of 1317006751?
False
Is 18 a factor of 12687246?
True
Is 11523537 a multiple of 309?
True
Is 47 a factor of 236441266?
False
Does 29 divide 102991875?
False
Is 3 a factor of 21672365?
False
Is 490975464 even?
True
Is 132 a factor of 112395979?
False
Does 3053 divide 1292545557?
True
Does 44 divide 8906965?
False
Is 150 a factor of 270067050?
True
Is 27593082 a multiple of 738?
True
Is 5480 a factor of 666937920?
True
Is 101764380 a multiple of 190?
True
Does 214 divide 44192334?
False
Is 92 a factor of 30970880?
True
Is 11328364 a multiple of 148?
True
Does 1083 divide 82001511?
True
Is 59333580 a multiple of 540?
True
Is 214395455 a multiple of 6397?
True
Is 8 a factor of 31889768?
True
Is 1197669670 a multiple of 26?
False
Is 20 a factor of 64366440?
True
Does 277 divide 22942091?
False
Is 1131 a factor of 920932584?
True
Is 12 a factor of 7644942?
False
Is 878 a factor of 19462567?
False
Is 91 a factor of 9323948?
False
Does 875 divide 24558625?
True
Is 6 a factor of 45400626?
True
Is 1210 a factor of 145518230?
True
Is 20 a factor of 264372900?
True
Is 123 a factor of 9405677?
False
Is 116414463 a multiple of 187?
False
Is 9 a factor of 25587265?
False
Is 692132474 a multiple of 538?
False
Does 501 divide 212836628?
False
Does 139 divide 202145893?
True
Is 71477821 a multiple of 3272?
False
Does 70 divide 34322610?
True
Is 28900233 a multiple of 5?
False
Is 1544 a factor of 12148228?
False
Does 44 divide 12376056?
True
Is 83500918 a multiple of 6?
False
Is 185 a factor of 226397908?
False
Is 16265940 a multiple of 740?
True
Is 208777470 a multiple of 6?
True
Is 235344280 a multiple of 145?
True
Is 202072205 a multiple of 7?
False
Is 103 a factor of 42186946?
True
Does 770 divide 2608936126?
False
Is 20686526 a multiple of 17?
False
Is 1974 a factor of 1787221020?
False
Is 34 a factor of 1770526404?
True
Is 14171352 a multiple of 159?
True
Does 28 divide 1132588208?
False
Does 18 divide 1785831858?
True
Is 2004847604 a multiple of 3196?
True
Does 12 divide 1516537831?
False
Does 3118 divide 1070091364?
True
Is 141963783 a multiple of 39?
True
Does 6 divide 2155822026?
True
Does 14 divide 42629519?
False
Is 448 a factor of 30587347?
False
Is 1097 a factor of 31419177?
True
Is 339 a factor of 48630906?
True
Does 7 divide 3365749668?
False
Does 10 divide 328109?
False
Is 1388 a factor of 142341944?
False
Does 20 divide 384597703?
False
Does 102 divide 32368265?
False
Is 20 a factor of 535087825?
False
Is 6144216 a multiple of 13?
True
Is 540346248 a multiple of 27?
True
Is 31361250 a multiple of 19?
False
Does 11 divide 491402775?
False
Is 525 a factor of 121663998?
False
Is 1332 a factor of 52584696?
True
Does 305 divide 279047657?
False
Is 8 a factor of 195658379?
False
Is 6672 a factor of 389851632?
True
Is 5 a factor of 5321494?
False
Is 7198 a factor of 1024836844?
True
Is 11191 a factor of 3079427470?
True
Is 41 a factor of 196030676?
True
Is 64322560 a multiple of 21?
False
Is 473079989 even?
False
Does 381 divide 14830044?
True
Does 45 divide 851382?
False
Is 151 a factor of 75351491?
False
Is 72177905 a multiple of 17?
False
Is 85761031 a multiple of 3?
False
Does 344 divide 11976016?
True
Does 180 divide 13880958?
False
Does 1951 divide 143029761?
True
Is 199 a factor of 30591555?
False
Is 32040134 a multiple of 2?
True
Is 406 a factor of 13533439?
False
Is 86049204 a multiple of 12?
True
Is 65 a factor of 809361444?
False
Is 157180128 a multiple of 4647?
True
Is 76 a factor of 65971344?
True
Is 176 a factor of 313326640?
True
Does 1123 divide 357862019?
|
{
"pile_set_name": "DM Mathematics"
}
|
ters picked without replacement from {d: 1, k: 1, o: 3, e: 4, p: 2}. Give prob of sequence kd.
1/110
Calculate prob of sequence tx when two letters picked without replacement from phxtn.
1/20
Two letters picked without replacement from qfqnmjjb. Give prob of sequence bn.
1/56
Calculate prob of sequence wshb when four letters picked without replacement from {s: 2, b: 1, w: 1, h: 2}.
1/90
What is prob of sequence kk when two letters picked without replacement from tinkifkte?
1/36
What is prob of sequence zz when two letters picked without replacement from ujzxufjooxjzjoo?
1/105
Calculate prob of sequence osso when four letters picked without replacement from xossox.
1/90
Two letters picked without replacement from bfobuuhbosbhhof. Give prob of sequence sh.
1/70
What is prob of sequence kwff when four letters picked without replacement from {e: 1, f: 2, k: 1, l: 1, w: 1, d: 2}?
1/840
Calculate prob of sequence aaa when three letters picked without replacement from ccccccaacacccccc.
1/560
Calculate prob of sequence klx when three letters picked without replacement from {l: 1, x: 4, m: 3, e: 1, k: 8}.
2/255
Calculate prob of sequence aaxj when four letters picked without replacement from xaaaaxxjxjaxaaaaaaa.
55/3876
Calculate prob of sequence htg when three letters picked without replacement from tgggtthtgt.
1/36
Two letters picked without replacement from vvvvvvvvvv. What is prob of sequence vv?
1
Two letters picked without replacement from hhhrnnxhh. Give prob of sequence rh.
5/72
Calculate prob of sequence co when two letters picked without replacement from coo.
1/3
Three letters picked without replacement from dssszuddssd. Give prob of sequence ddd.
4/165
Two letters picked without replacement from lfffjffrfrfjkrffr. Give prob of sequence lf.
9/272
Calculate prob of sequence hf when two letters picked without replacement from {h: 2, r: 4, f: 9, n: 3}.
1/17
What is prob of sequence cr when two letters picked without replacement from uhmkuhrrkuucmruc?
1/40
Three letters picked without replacement from {t: 1, i: 1, d: 2, r: 1, j: 1, f: 1}. What is prob of sequence idt?
1/105
What is prob of sequence vv when two letters picked without replacement from {e: 1, v: 3, g: 4, j: 3, o: 8}?
1/57
Three letters picked without replacement from ookkkxfofookfo. Give prob of sequence fff.
1/364
Three letters picked without replacement from {d: 5, p: 1, l: 1, u: 1, o: 1}. Give prob of sequence lou.
1/504
Four letters picked without replacement from {r: 2, c: 1, m: 2, s: 1}. Give prob of sequence ssrc.
0
Three letters picked without replacement from {i: 3, l: 1, a: 5, b: 2, f: 1}. Give prob of sequence iii.
1/220
What is prob of sequence jmjy when four letters picked without replacement from {j: 7, y: 9, r: 2, m: 1}?
21/5168
Three letters picked without replacement from {u: 18, w: 2}. What is prob of sequence wuu?
17/190
Calculate prob of sequence uttu when four letters picked without replacement from {t: 2, u: 8}.
1/45
What is prob of sequence iiyi when four letters picked without replacement from alpipiytiltyitiiyt?
1/204
Calculate prob of sequence ww when two letters picked without replacement from nnwwn.
1/10
What is prob of sequence qti when three letters picked without replacement from jkiiqjkkriqirtkjjttt?
4/855
What is prob of sequence ji when two letters picked without replacement from {i: 2, g: 4, j: 7, b: 3, p: 2}?
7/153
Three letters picked without replacement from {v: 1, b: 1, p: 1}. What is prob of sequence bvp?
1/6
Two letters picked without replacement from gegrzr. What is prob of sequence zr?
1/15
Calculate prob of sequence yyyy when four letters picked without replacement from yyyyyyyyyy.
1
Four letters picked without replacement from {j: 3, w: 7}. Give prob of sequence wwwj.
1/8
Calculate prob of sequence tb when two letters picked without replacement from tbbdtkktttkksd.
5/91
What is prob of sequence jmm when three letters picked without replacement from {m: 4, j: 1, s: 3}?
1/28
Two letters picked without replacement from {v: 2, u: 1, n: 1}. Give prob of sequence vn.
1/6
What is prob of sequence gd when two letters picked without replacement from eggeigidii?
1/30
Three letters picked without replacement from kjopkpppp. Give prob of sequence koj.
1/252
Two letters picked without replacement from ccticcdutpciicccpcc. What is prob of sequence ct?
10/171
Calculate prob of sequence vhh when three letters picked without replacement from {p: 1, v: 1, u: 4, h: 2}.
1/168
What is prob of sequence ee when two letters picked without replacement from ccvveieeiveveveieve?
28/171
Two letters picked without replacement from ezlolloloool. What is prob of sequence lz?
5/132
Calculate prob of sequence rjll when four letters picked without replacement from jnjlr.
0
Two letters picked without replacement from {h: 3, g: 1}. Give prob of sequence gh.
1/4
Calculate prob of sequence aa when two letters picked without replacement from uuaaaaauuuuauauuuaaa.
9/38
What is prob of sequence tcjj when four letters picked without replacement from qqqtcuujjutq?
1/2970
Two letters picked without replacement from {y: 4, s: 4, p: 12}. Give prob of sequence yp.
12/95
Four letters picked without replacement from wbwbwwwbwbddw. Give prob of sequence bwbw.
21/715
Two letters picked without replacement from ozzozzzoooozz. What is prob of sequence oz?
7/26
Calculate prob of sequence vaa when three letters picked without replacement from vvvvvvvavvavaava.
11/168
Two letters picked without replacement from {d: 5, j: 2}. What is prob of sequence jj?
1/21
Four letters picked without replacement from {z: 6, n: 2, v: 5}. What is prob of sequence nvzn?
1/286
Calculate prob of sequence jn when two letters picked without replacement from {j: 2, n: 3, p: 1, i: 3, m: 1}.
1/15
What is prob of sequence wrr when three letters picked without replacement from {r: 2, l: 3, w: 12}?
1/170
What is prob of sequence cf when two letters picked without replacement from cmmkf?
1/20
Calculate prob of sequence uutu when four letters picked without replacement from vtut.
0
Calculate prob of sequence gs when two letters picked without replacement from {a: 6, s: 11, g: 1}.
11/306
Calculate prob of sequence ccc when three letters picked without replacement from nnocnnnccnocnc.
5/182
Two letters picked without replacement from iiikik. What is prob of sequence kk?
1/15
What is prob of sequence fqf when three letters picked without replacement from mfmhshhmmqffhq?
1/182
Three letters picked without replacement from qqtsqstfttqseq. What is prob of sequence ste?
1/182
Two letters picked without replacement from {b: 1, e: 2, l: 1}. What is prob of sequence be?
1/6
What is prob of sequence az when two letters picked without replacement from ziqma?
1/20
Two letters picked without replacement from cccooscsccfsfssccsf. Give prob of sequence oo.
1/171
What is prob of sequence juqu when four letters picked without replacement from {u: 2, q: 2, j: 1}?
1/30
Calculate prob of sequence hp when two letters picked without replacement from {n: 2, a: 1, q: 5, p: 1, h: 3}.
1/44
What is prob of sequence bb when two letters picked without replacement from eeeebeeebe?
1/45
Calculate prob of sequence jnfj when four letters picked without replacement from {f: 2, n: 9, j: 2}.
3/1430
Three letters picked without replacement from {d: 3, w: 2, t: 1, f: 4}. What is prob of sequence ftw?
1/90
Two letters picked without replacement from mmjmbjmt. Give prob of sequence bj.
1/28
Four letters picked without replacement from jinnjnjinixsoisnjiis. Give prob of sequence nxin.
1/969
What is prob of sequence ffh when three letters picked without replacement from {h: 2, f: 2}?
1/6
What is prob of sequence pplv when four letters picked without replacement from {p: 7, o: 1, l: 2, w: 4, v: 2}?
1/260
What is prob of sequence cccx when four letters picked without replacement from ccccccccccccxccccccc?
1/20
Two letters picked without replacement from mmqmqemmqe. Give prob of sequence qe.
1/15
Calculate prob of sequence cp when two letters picked without replacement from ocpkukyockpk.
1/33
What is prob of sequence gzg when three letters picked without replacement from {g: 2, v: 2, p: 1, z: 11}?
11/1680
What is prob of sequence tuo when three letters picked wit
|
{
"pile_set_name": "DM Mathematics"
}
|
vative of 2*v**4 - 138670346*v - 32898578 wrt v?
8*v**3 - 138670346
Find the third derivative of -34*f**2*g*l**2 + f**2*g + 2*f**2*l**3 - 2*f*g*l**3 + 121303*g*l**3 - 3*g*l**2 - 6*g*l - l**2 wrt l.
12*f**2 - 12*f*g + 727818*g
What is the second derivative of m**2*o**2 + 738*m**2*o - 6*m**2 - 484*m*o**2 + 9*m*o + 81*o**2 - 2*o wrt m?
2*o**2 + 1476*o - 12
Find the third derivative of -2*c**2*f**3 + 14*c**2*f**2 - 3349*c**2*f - 192366087*c*f**3 - 4*c*f**2 + 2*c*f + f**3 + 7*f**2 - 2 wrt f.
-12*c**2 - 1154196522*c + 6
What is the second derivative of -7647367*s**3*z - 232*s*z - 3*s + 59*z - 31 wrt s?
-45884202*s*z
What is the first derivative of -233411320*s - 19261671?
-233411320
Find the third derivative of k**4 - 109408809*k**3 - 2864*k**2 + 3982*k wrt k.
24*k - 656452854
Differentiate 451470*b**4 - 35*b**3 + 31676161 with respect to b.
1805880*b**3 - 105*b**2
What is the third derivative of -32795*o**2*x**3 + 45*o**2 - 6*o*x**3 - 5*o - 5*x**2 + 2600 wrt x?
-196770*o**2 - 36*o
What is the third derivative of -80979460*l**4 - 1575*l**2 - 24916?
-1943507040*l
What is the third derivative of 10937044*i**3*u - 5*i**2 + 45874*i*u + 2*u wrt i?
65622264*u
What is the third derivative of 9861*r**5 + 3*r**4 + 6*r**3 + 636*r**2 - 188 wrt r?
591660*r**2 + 72*r + 36
Find the third derivative of 295936177*u**3 + u**2 + 330862195*u.
1775617062
Differentiate -727*i**2*m**2 - 15218*i*m**2 + 53025414*m**2 with respect to i.
-1454*i*m**2 - 15218*m**2
What is the third derivative of 460866047*h**3*s**3 - 3*h**2*s**3 - 153051401*h**2*s**2 wrt h?
2765196282*s**3
What is the third derivative of -129*r**6 - 601*r**4 + 7*r**3 + 9868754*r**2?
-15480*r**3 - 14424*r + 42
What is the first derivative of -6091998*b**3*i**3 + 12182*b**3 - 2*b**2 - b*i**3 + 82 wrt i?
-18275994*b**3*i**2 - 3*b*i**2
Find the second derivative of 4*b**5 + 94*b**3 + 122558*b**2 - 665458976*b.
80*b**3 + 564*b + 245116
Find the first derivative of 26*m**4 - 882*m**2 - 3*m - 1898865 wrt m.
104*m**3 - 1764*m - 3
What is the second derivative of 932265769*m**2*r**3 + 29*m*r**3 + 36*m*r**2 + m*r + 3*m + 119*r**3 + 2 wrt m?
1864531538*r**3
What is the third derivative of -792*j**6*m + 10182*j**6 + 2*j**2*m + 4*j**2 + 2*j*m - 34*j - 13*m + 36 wrt j?
-95040*j**3*m + 1221840*j**3
What is the third derivative of -22839778*d**4 + 201096*d**2 + 22*d + 2?
-548154672*d
Find the third derivative of -173172*x**3 - 6*x**2 - 120*x - 2 wrt x.
-1039032
What is the second derivative of -7*g**2*x**2 + 7*g**2*x - 2*g**2 + 2*g*x + 3*g - 114048*x**2 + 115*x - 68 wrt x?
-14*g**2 - 228096
What is the second derivative of 5849850*r**2 - 2*r - 4235763?
11699700
What is the third derivative of 295103*i*u**3 + i*u**2 + 61*i*u + 2258*i - 6*u**3 - 10*u**2 wrt u?
1770618*i - 36
Find the first derivative of -206348*l*u - l - 9217240*u wrt l.
-206348*u - 1
Differentiate -f*n**3 - 8087930*f*w**3 - 2*n**3*w**3 + 9*n**3*w**2 + n**3*w - 2*n*w**3 - 61235*w - 3 wrt f.
-n**3 - 8087930*w**3
What is the third derivative of 227029976*m**3 + 10876*m**2 + 968*m wrt m?
1362179856
What is the third derivative of -13473*p**5*r - 7249*p**5*t - 480*p**2*r*t - 4*p**2*r + 7*p*r*t + 17*r*t wrt p?
-808380*p**2*r - 434940*p**2*t
What is the second derivative of 93*l**2*y + 179637*l**2 + 1473766*l*y - y wrt l?
186*y + 359274
What is the second derivative of -13827*t**2*z**3 + 10*t**2*z**2 + 87*t**2 + 12161*t - 2*z**3 - z**2 - 3013 wrt t?
-27654*z**3 + 20*z**2 + 174
What is the third derivative of 535*s**4 + 73995*s**3 + 217336130*s**2 wrt s?
12840*s + 443970
Differentiate -5087309*z**4 - 9360152 with respect to z.
-20349236*z**3
What is the derivative of -314768251*l*q - 60895304*l + 2*q + 1 wrt q?
-314768251*l + 2
Find the second derivative of -70094717*c**4 + 10489271*c.
-841136604*c**2
Differentiate -2*m**3 - 563487484*m**2 - 113955727 wrt m.
-6*m**2 - 1126974968*m
Find the third derivative of -3653696*o**3 - 3*o**2 + 71*o - 93781.
-21922176
Find the third derivative of 265736966*b*d**2*u**3 - 2*b*d**2*u**2 - 2243160*b*d**2 - 2*b*u**2 - 15*d**2 - d wrt u.
1594421796*b*d**2
Find the third derivative of -p*s**3 + 6*p*s**2 - 1729527*s**3 + 18160*s**2 + 51 wrt s.
-6*p - 10377162
What is the third derivative of -194157776*u**6 + 58433*u**2 - u + 62?
-23298933120*u**3
Differentiate 751*m**3 - m**2 - 1671*m - 4235026.
2253*m**2 - 2*m - 1671
What is the third derivative of 6*h**5 - 413568*h**3 - 3958*h**2 - 322 wrt h?
360*h**2 - 2481408
What is the second derivative of -13*q**4 - 7487893*q**2 - 48*q - 218932 wrt q?
-156*q**2 - 14975786
What is the second derivative of -4067*d*k**2*u + 4*d*k**2 + d*k*u + 11*d*k + d*u + 102*d - 1014*k**2*u + 1087*k*u - 7*k wrt k?
-8134*d*u + 8*d - 2028*u
Find the third derivative of 3738355*t**5 - t**2 - 893549*t + 2 wrt t.
224301300*t**2
Find the second derivative of 558*g**3 + 10354*g**2 + 470128485*g wrt g.
3348*g + 20708
What is the first derivative of -158*d*y**3 + 15556*d + 71*y**3 + 830*y - 3 wrt d?
-158*y**3 + 15556
Differentiate -1802628*y + 8480856 wrt y.
-1802628
Find the second derivative of -36860069*t**2 - 39245774*t wrt t.
-73720138
Find the first derivative of 171*a**4 + 49298*a**3 - 331337970.
684*a**3 + 147894*a**2
What is the third derivative of -1454173*a**5 - 2980834*a**2?
-87250380*a**2
What is the second derivative of 2543*g*j**5 + 219374*g*j - 2*g + 1893*j**5 + j wrt j?
50860*g*j**3 + 37860*j**3
What is the first derivative of 230*w**2 + 139197*w + 15608731 wrt w?
460*w + 139197
Find the second derivative of 18775259*l*x**5 - 18964316*l*x wrt x.
375505180*l*x**3
Find the second derivative of 8*z**5 + 7*z**4 + 1660*z**3 - 269*z - 4343.
160*z**3 + 84*z**2 + 9960*z
What is the second derivative of 60651575*k**3 - 130929902*k wrt k?
363909450*k
What is the first derivative of -54*f*m**2 + 1483029*f + 11009*m**4 wrt m?
-108*f*m + 44036*m**3
What is the second derivative of 9*z**4 + 76*z**3 - 423*z**2 + 51615721*z?
108*z**2 + 456*z - 846
What is the first derivative of -586*v**2*z + 2*v**2 + 25*v*z + 6*v - 507126*z + 1 wrt v?
-1172*v*z + 4*v + 25*z + 6
Find the third derivative of 5096168*p**3 + 441524*p**2 - p.
30577008
Find the first derivative of -137498220*t**4 + 73222727.
-549992880*t**3
Find the second derivative of 325659566*b**4 - 69*b + 183245 wrt b.
3907914792*b**2
Find the first derivative of u**3 + 194911005*u**2 + 1131093308 wrt u.
3*u**2 + 389822010*u
Find the third derivative of 302700628*o**3*v - 308625762*o**2*v wrt o.
1816203768*v
Find the third derivative of -1341*j**5*o - 1728*j**4*o - 119*j**2*o + o wrt j.
-80460*j**2*o - 41472*j*o
What is the second derivative of 1042*s**3 + 5952*s**2 - 207447348*s wrt s?
6252*s + 11904
What is the second derivative of 22*k**3 + 2877666*k**2 + 99627175*k?
132*k + 5755332
What is the second derivative of -35983*f**3 + 177*f**2 - 1989279*f + 15?
-215898*f + 354
What is the second derivative of 389*p**2*q**3 - 7*p**2*q + 34*p**2 + 36930*q**4 + 93977*q - 2 wrt q?
2334*p**2*q + 443160*q**2
Find the third derivative of -5843728*b**2*g**3 + 3*b**2*g**2 + 16*b**2*g + 25018*b*g**2 - 2*b*g wrt g.
-35062368*b**2
What is the derivative of -40757*g**2*v**2 - 61*g**2*v + 124*g**2 + 1782 wrt v?
-81514*g**2*v - 61*g**2
What is the third derivative of 456838*k**3*w**3 + 45130417*k**3*w + 103*k*w**3 - 2*w**3 + w**2 wrt w?
2741028*k**3 + 618*k - 12
What is the second derivative of 9565497*x*y**5 - 7*x + 902578*y wrt y?
191309940*x*y**3
Find the second derivative of 449547704*m**2 + 238857177*m wrt m.
899095408
Find the third derivative of 2*a**6 + 3094503*a**5 + 4*a**3 - 23659271*a**2.
240*a**3 + 185670180*a**2 + 24
Find the second derivative of 436529*s**5 - 5*s**3*z**3 + 2*s*z**3 + 6*s*z**2 + 1082*s - 2*z**3 - 3 wrt s.
8730580*s**3 - 30*s*z**3
Find the third derivative of -r**5 + 236892*r**4 + r**3 + 191014*r**2 - 7*r wrt r.
-60*r**2 + 5685408*r + 6
Find the first derivative of 36*w**4 + 2238*w**3 + 3*w**2 - 3*w - 2639878.
144*w**3 + 6714*w**2 + 6*w - 3
Differentiate 569931737*p*x**2 - 40*x**2 + 14694*x - 111 wrt p.
569931737*x**2
Differentiate -25974*s**3 - 2*s**2 - 2246*s - 607809049 with respect to s.
-77922*s**2 - 4*s - 2246
What is the third derivative of 26155219*u**4 + 17209457*u**2?
627725256*u
Differentiate 35192061*f**2 - 28003181 with respect to f.
7038412
|
{
"pile_set_name": "DM Mathematics"
}
|
530*y + 12
Suppose 80 = 42*y - 38*y. What is the third derivative of -17*j**5 + y*j**2 - 9*j**2 - 12*j**2 wrt j?
-1020*j**2
Let d(z) be the second derivative of -1063*z**7/7 - 884*z**4/3 - 6825*z. What is the third derivative of d(s) wrt s?
-382680*s**2
Suppose 5*t + 3*t = 32. Differentiate 3*h**t - 16 + 6*h**4 + 10*h**4 wrt h.
76*h**3
Suppose 0 = -2*c - 4*p - 2, 7*c - 8*c = 5*p + 7. Suppose f - c = -0*f. Find the second derivative of 15*o + 11*o + 3*o**3 - 10*o**3 + 4*o**f wrt o.
-18*o
Let v(h) be the third derivative of h**7/42 - 43*h**5/4 - 13*h**4/12 + h**3/2 + 2*h**2 - 1119. Find the second derivative of v(w) wrt w.
60*w**2 - 1290
Let u(z) be the third derivative of -3241*z**4/24 + 124*z**3/3 - 4448*z**2. Differentiate u(a) wrt a.
-3241
Let w be 38/8 - ((-20)/16)/5. Suppose -5*p + 19 = -4*a, -4*a = -p + 2 + w. Differentiate -9 + 10*c**p - 10*c**4 - 11*c**4 - 10*c**3 with respect to c.
-84*c**3
Find the third derivative of -21*s - 469*s**2 + 14 + 382*s**2 + 23*s - 838*s**4 wrt s.
-20112*s
Let l(w) = -595*w - 511. Let n(r) = -1191*r - 1025. Let g(f) = 7*l(f) - 4*n(f). Let o(u) = 399*u + 350. Let s(i) = -5*g(i) + 7*o(i). Differentiate s(d) wrt d.
-202
Let v(h) be the first derivative of 23*h**2 + 41*h - 73. Let m(l) = -93*l - 81. Let c(o) = -5*m(o) - 9*v(o). Differentiate c(y) with respect to y.
51
Let o(u) be the first derivative of 437*u**5/5 + 2015*u**2/2 + 3339. What is the second derivative of o(p) wrt p?
5244*p**2
Suppose 0 = -3*u + 5*d - 0 + 16, 0 = 4*u + d - 6. Find the second derivative of -7*j**5 + u*j**2 + 16*j - 10*j + 27*j wrt j.
-140*j**3 + 4
Suppose 2*c - 5 = 5. Let a(o) = -43360 + 43360 + o. Let l(b) = -8*b**2. Let g(p) = c*a(p) + l(p). Find the second derivative of g(q) wrt q.
-16
Let t(j) be the second derivative of -673*j**4/2 + 593*j**3/2 - j**2/2 - 363*j + 5. What is the second derivative of t(u) wrt u?
-8076
Find the second derivative of 228 - 8*w**3 - 2*w + 17928*w**4 + 0*w - 17966*w**4 + 3*w - 569 wrt w.
-456*w**2 - 48*w
Let h(g) = g**2 + g + 4. Let l(d) = -408*d**2 - 36*d + 87. Let b(q) = 252*h(q) + 7*l(q). Find the first derivative of b(t) wrt t.
-5208*t
Let t = -4577 + 4583. Let o(p) be the second derivative of t*p**2 + 0*p**3 - 7/15*p**6 + 0*p**4 - 10*p + 0*p**5 + 0. What is the derivative of o(x) wrt x?
-56*x**3
Let i(m) = 64*m**3 - 11*m**2 + 1339*m + 4327. Let r(u) = -12*u**3 + 2*u**2 - 268*u - 865. Let t(n) = -2*i(n) - 11*r(n). Differentiate t(s) with respect to s.
12*s**2 + 270
Find the second derivative of 2967*m**5 + 50435525*m**4 + 0*m + 13 - 50435524*m**4 + 41 - 33*m wrt m.
59340*m**3 + 12*m**2
What is the second derivative of -2411*c + 1251*c**2 + 71 + 842*c**2 - 69 - 812*c**2 + 1003*c**2 wrt c?
4568
Suppose 245*g - 36 = 242*g. What is the third derivative of -g*o**2 - 207*o**3 + 207*o**3 - 54*o**6 wrt o?
-6480*o**3
Find the second derivative of 16 - 301*c - 16 - 1283*c**3 - 282*c wrt c.
-7698*c
Let m(o) = 2*o - 4. Let k(q) be the first derivative of q**2/2 - q - 46. Let w(g) = 18*k(g) - 2*m(g). What is the first derivative of w(j) wrt j?
14
Let b(u) = 1398*u**3 - 14*u**2 - 3*u - 69. Let y(l) = -699*l**3 + 6*l**2 + 2*l + 34. Let k(t) = -2*b(t) - 5*y(t). What is the third derivative of k(i) wrt i?
4194
Suppose -84 = -3*l + 18. What is the first derivative of -60 - l*k + 13 + 29*k wrt k?
-5
Let o(t) be the third derivative of t**7/105 - 55*t**6/12 - t**5/30 - 575*t**4/24 - 1684*t**2. Find the third derivative of o(y) wrt y.
48*y - 3300
Suppose -u - 2*g + 68 = 0, 3*g - 134 = -2*u + g. Find the second derivative of -z**3 - 138*z**3 + 160*z + 13*z - u*z**3 wrt z.
-1230*z
Let q(n) be the second derivative of 1 + 43/2*n**3 + 1/6*n**4 + 0*n**2 + 53*n + 29/20*n**5. Find the second derivative of q(w) wrt w.
174*w + 4
Let m = 456 - 460. Let z(j) = 20*j**2 + 11*j - 32. Let q(r) = -17*r**2 - 12*r + 32. Let c(h) = m*z(h) - 5*q(h). What is the first derivative of c(f) wrt f?
10*f + 16
Let n = 156 - 152. Differentiate -14*y + 192*y**3 + n*y - 140 + 10*y - 7 with respect to y.
576*y**2
Let t be -1 + 12/9 + 65/(-195). Let h(u) be the third derivative of 2*u**3 + t + 1/15*u**6 + 0*u**4 + 0*u**5 + 0*u - 10*u**2. Differentiate h(y) wrt y.
24*y**2
Let y be 2 + (-10)/(-15) + (-8)/(-6). What is the second derivative of -j**2 + 0 + 5 + j - 5 - 18*j**y wrt j?
-216*j**2 - 2
Let v be 31 - 30 - (-80 + 0). Find the second derivative of v*l + 69*l**3 + 27*l + 0*l wrt l.
414*l
What is the third derivative of 51*c**2 + 4232*c**3 + 3922*c**3 + 2409*c**3 + 65*c - 246*c**3 wrt c?
61902
Let g(h) = -2*h**4 - h**3 - h**2 - h + 2. Let r(w) = 21*w**4 + 9*w**3 + 9*w**2 + 53*w + 1721. Let m(d) = 18*g(d) + 2*r(d). Differentiate m(a) with respect to a.
24*a**3 + 88
Find the first derivative of 1471*y - 559*y - 747 - 3388*y - 1838*y wrt y.
-4314
Let u be (-2*4/(-24))/((-1)/(-78)). Differentiate -4*f - 10*f - 12*f - u*f - 25 wrt f.
-52
Let j(u) be the third derivative of -u**8/112 - 131*u**6/120 + u**5/6 + 3*u**4/4 + 96*u**2 + 3. What is the third derivative of j(s) wrt s?
-180*s**2 - 786
Let u = 18 - 18. Suppose u = -0*c + c - 356. What is the first derivative of 18*s**4 + 6*s**4 - 373 + c wrt s?
96*s**3
Let a(k) = 1. Let d be (-93)/33 + 6/(-33). Let w(g) be the second derivative of g**4/4 - 9*g**2 + 332*g. Let b(f) = d*a(f) - w(f). Differentiate b(p) wrt p.
-6*p
Let c(r) = r**2 - 9*r + 39. Let n be c(7). Differentiate -24*u**3 + 171 + 14*u**2 - 43*u**2 + n*u**2 with respect to u.
-72*u**2 - 8*u
Suppose -5*n = -3*w - 16, 4*w - n = -4*n + 27. Find the third derivative of -54*u**2 + 173*u**2 + 35*u**3 + 49*u**w wrt u.
504
Let r be 40*1/8*26. Find the second derivative of v + 7*v - 21*v**4 - r*v wrt v.
-252*v**2
What is the first derivative of 3993 + 1504*i - 6091*i + 35701*i**4 - 35702*i**4 wrt i?
-4*i**3 - 4587
Let z(j) = 3*j - 18. Let v be z(9). Let k be (-1)/(v/6)*(-2 + -1). Find the third derivative of -3 + 2 + 14*h**5 + 1 + 17*h**k wrt h.
840*h**2
Let r(w) be the second derivative of -47/4*w**5 + 3*w**3 + 26*w + 1 + 0*w**4 - 1/2*w**2. What is the second derivative of r(s) wrt s?
-1410*s
Let i(m) = 4*m**2 + 65*m - 352. Let c(q) = q**2 + 22*q - 117. Let k = 187 + -185. Let n(j) = k*i(j) - 7*c(j). What is the derivative of n(p) wrt p?
2*p - 24
Let q(x) be the second derivative of 35*x**3 - 953*x + 952*x + 31 + 8*x**6 + 92. Find the second derivative of q(v) wrt v.
2880*v**2
Suppose -20 = -j + 2*j + 4*y, 4*y + 20 = 5*j. Suppose 4*q - 5*b + 0 + 8 = j, 4*b - 22 = -2*q. Differentiate -14 - 4 - 9*t**q - 10*t**3 wrt t.
-57*t**2
What is the third derivative of -302*v**6 - 37*v**6 - 26*v**2 - 15*v**2 - 21*v**2 wrt v?
-40680*v**3
Let b be 16/(-7) + 2 - (-264)/(-7). Let i be (-74)/(-12) - (b/(-12) - 3). What is the third derivative of 31*o**i + 4736*o - o**2 - 4736*o wrt o?
3720*o**3
Let u(y) = -714*y**4 + 17*y**3 - 2*y**2 - 8*y - 1872. Let r(v) = -2*v**3 + v - 1. Let b(n) = -8*r(n) - u(n). Differentiate b(m) wrt m.
2856*m**3 - 3*m**2 + 4*m
What is the second derivative of -1952 + 3293*i + 965 - 838*i**3 + 987 wrt i?
-5028*i
Let w(l) = -l**4 + 891*l**3 - 474*l + 5. Let m(a) = a**4 - 1336*a**3 + 712*a - 7. Let c(u) = -5*m(u) - 7*w(u). Find the second derivative of c(s) wrt s.
24*s**2 + 2658*s
Let g = -299 + 302. What is the third derivative of 39*a**2 - 6*a**2 - 4*a**2 - 101*a**4 - 24*a**3 + 26*a**g + 31*a**2 wrt a?
-2424*a + 12
Suppose 8*b - 18*b = -1590. Find the first derivative of 1545*u**3 - 773*u**3 + b + 62*u - 774*u**3 wrt u.
-6*u**2 + 62
Let f(b) be the first derivative of b**3 - 74*b**2 + 1316*b - 2258. Differentiate f(c) with respect to c.
6*c - 148
Let u(x) = x**3 + 5*x**2 - 25*x - 6. Let z be u(-8). Differentiate -162 - 175*a**z - 264*a**2 + 595*a**2 with respect to a.
312*a
Let z(c) be the second derivative of 401*c**3/3 + 4599*c**2/2 - 6424*c. Differentiate z(v) with respect to v.
802
Let v = -22 + 24. Let o = -398 + 416. What is the third derivative of -13*h**v - 43*h**6 + o*h**6 + 58*h**6 wrt h?
3960*h**3
What is the third derivative of -2 + 1215*f - 1902*f**2 - 1215*f + 624*f**3 + 3585*f**3 wrt f?
25254
Let v(p) be the first derivative of 1798*p**5/5 + 2908*p**3/3 + 1266. What is the third derivative of v(d) wrt d?
43152*d
Suppose -o - 7*q = -3*q + 20, -2*q = 10. Suppose 5*h + f + o*f = 1170, -3*h = 3*f - 702. Find the second derivative o
|
{
"pile_set_name": "DM Mathematics"
}
|
culate -1119*-0.084.
93.996
What is the product of -33700 and -0.062?
2089.4
Multiply -82 and -0.1413.
11.5866
Calculate 94164*-0.016.
-1506.624
-43 times -63
2709
Product of 0.4825 and -177.
-85.4025
Calculate -59*4.26.
-251.34
1 times -65278
-65278
Calculate -6045*-0.0641.
387.4845
114 times 171.8
19585.2
-5 * 5381
-26905
Multiply -8.51 and -0.59.
5.0209
What is 0.06967 times 11?
0.76637
Calculate -38.949*8.
-311.592
Work out 0.49 * 215.3.
105.497
45.183 times -48
-2168.784
Calculate -0.4*-22805.
9122
Calculate -894864*-0.1.
89486.4
6.75*1.084
7.317
What is -3 times -379?
1137
0 times -25685
0
4335*-0.03
-130.05
296517 * 0.1
29651.7
Calculate -18650*0.4.
-7460
752*1.83
1376.16
What is the product of -0.1 and -0.13446?
0.013446
Multiply -65866 and -7.
461062
Product of 25.6 and 4697.
120243.2
Multiply -1.848 and 0.7.
-1.2936
Product of -241975 and -1.
241975
Calculate -380092*0.
0
7.97684 * -5
-39.8842
Multiply 3753 and -3.73.
-13998.69
-408006*0
0
Product of 4 and -0.010496.
-0.041984
Work out -0.501541 * -0.02.
0.01003082
-34 * 1950.3
-66310.2
Work out -39 * -38.04.
1483.56
Multiply 1 and -54957.
-54957
Work out -235 * -0.03281.
7.71035
Calculate 1.8*7.591.
13.6638
Calculate 0.2*-13782.
-2756.4
149 * 0.1614
24.0486
Calculate 783.421*-0.6.
-470.0526
What is the product of -94755 and 0.5?
-47377.5
Work out -0.008 * 0.10016.
-0.00080128
9.549 * -1
-9.549
Calculate -0.004*-10771.
43.084
Work out 1 * -4.06721.
-4.06721
What is -781 times -1019?
795839
-32031 * 0.4
-12812.4
What is the product of 88.127 and 0.4?
35.2508
10 * -0.2962
-2.962
What is the product of 0.07858 and 0.13?
0.0102154
Calculate -8*-67.387.
539.096
0.003*39.26
0.11778
-0.06 times 693.463
-41.60778
Product of -4.94 and -3536.
17467.84
Work out 0.041 * -1433.
-58.753
What is 3885.2 times 0.032?
124.3264
Calculate 55332*0.01.
553.32
0.052151 * 0.05
0.00260755
Calculate 184639*-0.2.
-36927.8
-0.02 * 3714
-74.28
Work out -0.0071 * 17.69.
-0.125599
-41*-268.4
11004.4
Product of -33 and -10146.
334818
Product of 346 and -5.48.
-1896.08
Product of 0.2 and -566.19.
-113.238
What is the product of 4311 and 0.06?
258.66
What is 0.091 times -77523?
-7054.593
Multiply -118.79 and -50.
5939.5
What is the product of -152764 and -0.4?
61105.6
Product of 99.5 and -14.
-1393
Calculate 18*1.72.
30.96
Work out -455.6 * 0.061.
-27.7916
Product of -5.56 and -24.
133.44
What is 2.436 times 20?
48.72
-19117*30
-573510
Multiply 0.04 and 7045.
281.8
0.05 * 3795.8
189.79
What is the product of -3963 and -1?
3963
Work out 10508 * 21.
220668
Multiply -6 and 0.772.
-4.632
623.67 * 4
2494.68
Calculate 284*-4.2.
-1192.8
-678608 * -0.2
135721.6
Work out -3 * -0.12232.
0.36696
1276*-0.69
-880.44
Work out 860 * -1297.
-1115420
Calculate -10145*-310.
3144950
What is the product of -9670 and -0.064?
618.88
Product of -0.2 and 23283.
-4656.6
Work out 0.9 * -195857.
-176271.3
Calculate -110*17.696.
-1946.56
-65373 times -0.06
3922.38
Work out 304 * -32.
-9728
What is -0.74 times -11332?
8385.68
-10 times 2.44
-24.4
106 * -0.0293
-3.1058
Work out -0.212 * 291.
-61.692
-3 * -1994
5982
-1 times -3878
3878
What is the product of 1268 and 0.166?
210.488
What is the product of 0.5 and -1036747?
-518373.5
0.688213*0.3
0.2064639
Work out -105.3 * -10.
1053
-0.2 times 199243.4
-39848.68
Work out 0.1764 * 70.
12.348
730 times 205
149650
Calculate -1809081*-0.2.
361816.2
Multiply 25.48 and 0.082.
2.08936
0.4 * -1.22802
-0.491208
What is 232.0054 times 0.4?
92.80216
What is the product of -1 and -0.228705?
0.228705
Product of -0.28006 and -1.2.
0.336072
-3 * -6246
18738
What is the product of -1464339 and -0.3?
439301.7
1854*-0.2544
-471.6576
Multiply -10856 and 3.
-32568
What is the product of -0.5 and -8031?
4015.5
Calculate -0.4*-591784.
236713.6
1.29*7337
9464.73
Calculate 5*-20975.
-104875
Work out -0.401 * -30.
12.03
1553.7 * -0.3
-466.11
What is 0.1275 times -299?
-38.1225
What is the product of -4 and 0.093317?
-0.373268
-5 times -3940
19700
What is the product of 16772 and 0.102?
1710.744
Multiply -1919 and 3.6.
-6908.4
Calculate -46.4*-0.266.
12.3424
Calculate 0.11*0.2159.
0.023749
What is the product of 5 and -1616?
-8080
2378 * -153
-363834
-383851*-5
1919255
What is the product of -5 and 260.73?
-1303.65
Product of 0.0036 and -12.
-0.0432
Multiply -323 and 13.7.
-4425.1
Product of -4 and -0.4.
1.6
-5 * 201261
-1006305
0.12 * -0.168471
-0.02021652
What is 31200 times -2?
-62400
What is -0.2 times 2.3392?
-0.46784
Work out -628.475 * -0.4.
251.39
Product of -2507 and -37.
92759
What is the product of -9.49 and 5.8?
-55.042
Calculate 0.078802*-4.
-0.315208
Product of -11 and -1.9774.
21.7514
What is 3 times -12655?
-37965
Multiply -0.2 and -7930.
1586
Calculate 1.95*36.455.
71.08725
-0.4 * 0.043432
-0.0173728
Multiply 28 and 821.76.
23009.28
What is the product of 6.8768 and -0.2?
-1.37536
0.26 * -3707
-963.82
Work out 1073.28 * 0.1.
107.328
Calculate -3*-13363.
40089
36907*5
184535
Multiply -0.9435 and -137.
129.2595
-0.3 * -0.28996
0.086988
What is -4 times 3609?
-14436
57315 times -0.4
-22926
0.5*-2.7141
-1.35705
Multiply 143.5 and -605.
-86817.5
0.9 * -325808
-293227.2
11 * 97.51
1072.61
-0.96326 times -1
0.96326
Product of -10 and 0.328133.
-3.28133
-20169.25 times -1
20169.25
Work out 3.3651 * 0.1.
0.33651
Calculate -288.67*-4.
1154.68
Calculate -4*1653.
-6612
-29074 times 6
-174444
Product of -17 and 0.00328.
-0.05576
What is 23455 times -5?
-117275
Product of -1271 and -174.
221154
Calculate -9520157*0.2.
-1904031.4
5 * -161.04
-805.2
Work out -48901 * -7.
342307
Product of -215 and 1.33.
-285.95
0.019*-297.1
-5.6449
Calculate 81*608.
49248
Work out -1 * 3.107.
-3.107
Product of -0.0027 and 0.0806.
-0.00021762
104157 times 1
104157
Work out -81 * -1425.
115425
-14.6*0.893
-13.0378
What is 75.403 times -2?
-150.806
Product of -0.1076 and 95.
-10.222
Multiply -0.35464 and -1.
0.35464
What is the product of -1.778 and -654?
1162.812
1.8716*2
3.7432
Product of -4 and -1618.
6472
Product of 362 and -4520.
-1636240
What is -3 times -31975?
95925
-0.2 times -566108
113221.6
-0.2*-34194
6838.8
Calculate 365169*0.3.
109550.7
What is the product of -0.7746 and -67?
51.8982
Work out 0.0647 * -30.
-1.941
Work out -0.1 * -38599.
3859.9
What is the product of -6 and 31846?
-191076
Multiply -4 and 1078967.
-4315868
What is the product of -5 and -5.6298?
28.149
5 * 47.784
238.92
-1.9 times -510.5
969.95
-1*0.33811
-0.33811
-0.5214 * -9
4.6926
What is -15 times -73785?
1106775
0.016 times 9.046
0.144736
9*16164
145476
Product of 0.309261 and -3.
-0.927783
-274 * -0.2
54.8
What is -0.9 times -6.233?
5.6097
Product of 0.015 and 0.1709.
0.0025635
What is the product of 0 and -0.2557?
0
Multiply 14476.6 and -5.
-72383
Calculate -6934*-11.
76274
What is the product of 0.36 and -46.064?
-16.58304
-5*-97489
487445
What is 5 times -60660.1?
-303300.5
Multiply 5 and -11.372.
-56.86
-1.28 times -62.3
79.744
Product of -0.12 and 51026.
-6123.12
Calculate -799*-6.7.
5353.3
Multiply 0.04218 and -12.
-0.50616
-87*-10
870
Work out 0.5 * 42.44.
21.22
-5.87*-1094
6421.78
4*-0.9752
-3.9008
Work out -0.04 * -374.
14.96
Work out -295 * 535.1.
-157854.5
-0.5 * 9.6827
-4.84135
-3 times 137909
-413727
5.639 * -11
-62.029
What is the product of -131679 and 0.1?
-13167.9
0.0028 times 150
0.42
Calculate -1.14*-4508.3.
5139.462
Calculate 134803*-6.
-808818
Calculate -0.01134*-0.58.
0.0065772
Product of 12 and -29.
-348
Work out 58 * 34.
1972
-0.0941 * 0.633
-0.0595653
Calculate 0*52303.
0
Product of 0.02 and -0.253349.
-0.00506698
What is the product of -0.4 and -125.815?
50.326
Product of 0.3 and -5812.
-1743.6
Work out -10 * -4.662.
46.62
3088 times 0.21
648.48
Multiply 163 and -0.09.
-14.67
Calculate 43.2*-329.
-14212.8
Product of 0 and 293136.
0
What is 431 times -0.023?
-9.913
-0.75*-0.905
0.67875
24.98 times -0.0991
-2.475518
-2052.6*-0.08
164.208
-0.1639*-7.7
1.26203
What is the product of 7 and 64118?
448826
-0.026 * -2.362
0.061412
Product of -46 and -13416.
617136
-96*27.87
-2675.52
Work out 0.4 * -32196.
-12878.4
Product of -7.929 and -0.3.
2.3787
What is the product of -3733.6 and 0.3?
-1120.08
Calculate 304909*-1.
-304909
0.4 times -1863
-745.2
Product of -0.04783 and -6.
0.28698
0.062704 * -0.3
-0.0188112
-0.16 * 57
-9.12
Work out 7
|
{
"pile_set_name": "DM Mathematics"
}
|
86).
6/29
What is 2/(-9) - (1*372/27 - 0)?
-14
Evaluate 12/264*104/(-14) - 6/(-14).
1/11
What is 3/4*(-6 + 336/60)?
-3/10
Calculate ((-6)/57)/(33*38/1881).
-3/19
What is the value of (-118)/(-176) - 193/1544?
6/11
-5 + (-2 + 2)/((-6)/(-2))
-5
Evaluate (5661/185)/9 + -8.
-23/5
What is 54/(-126)*(-14)/48?
1/8
Evaluate (115 + -120)/(6 - 1).
-1
Calculate ((-3)/4)/((-30)/640).
16
What is 8/10*(68 - 28140/480)?
15/2
What is 2*(130/104 + 1/(-4))?
2
Evaluate (12*(-3)/(-84))/3.
1/7
What is the value of 0/(12 + -9) - 3*-1?
3
Evaluate (((-264)/18)/22)/((-1)/(-3 + -30)).
-22
452*18/648 + -15 + 2
-4/9
Evaluate (-25 - -2) + (-4644)/(-180) + (-6)/(-5).
4
Calculate (-20)/(-6)*(-918)/(-340).
9
What is 2*(6/81 + 817/513)?
10/3
What is the value of 12/(-32) - 4/(-16)?
-1/8
Evaluate (7/4)/(19 + 1078/(-56)).
-7
What is the value of 12/5 + (-14152)/(-1220)?
14
Evaluate -10 + (16/(-24))/(-2) + (-1111)/(-99).
14/9
Evaluate ((-8)/(-10) - 2210/1950)/(1/45).
-15
What is the value of ((-4)/(-5))/(0 - (5486/130 - 25))?
-2/43
Evaluate 17 + (-4980)/(-581) - (2 - (-17)/(-7)).
26
What is (1136/(-80) - -15)*(3/12 + 0)?
1/5
What is the value of 6097/8281 + (0 - 6/14)?
4/13
What is 49 - ((-360)/(-12) + 23 + -42)?
38
Calculate ((-96)/(-5))/(-2)*(-635)/381.
16
Evaluate ((-2)/20)/(181/(-2715)) - 34/28.
2/7
Calculate 58/1566 - 4626/243.
-19
Calculate (6/18 - 3)/((-4)/(-18)).
-12
19 - (11 - 198/11 - -1*13)
13
(1128/(-84) - -14)/((-2)/14)
-4
Calculate (-5 + 2 + (-14)/6)/((-6)/(-36)).
-32
(88/330)/(3*(-1)/(-15)*6)
2/9
Calculate 1/(14/(-6)) + 2465/2975.
2/5
18/(-24) - (-39)/4 - (29 + -22)
2
What is 5/20*((-15 - -14) + -75)?
-19
(2/21)/((4/(-147))/((-372)/(-837)))
-14/9
Evaluate 639/(-852)*(-40)/3.
10
(414/(-966))/((-9)/(-2))
-2/21
What is 72 - 61 - (-22)/6*-3?
0
What is 10/(-6)*576/5440?
-3/17
What is the value of 6/18*-5 + 40/48?
-5/6
What is the value of ((-88)/(-231))/(((-286)/(-273))/11)?
4
What is (242/78 - 3)/(3 + -5)?
-2/39
Calculate -7*(-9)/(-12) - (-15)/12.
-4
Evaluate 27/66*(-20 + 2820/135).
4/11
What is ((-12)/27)/(20/(-210)*(-210)/(-18))?
2/5
Evaluate 666/777 + 23/(-35).
1/5
((-96)/56)/((-610)/(-427))
-6/5
What is the value of -9 - 465/(-50) - (-154)/20?
8
What is 6 + (-3752)/693 - (-16)/(-72)?
4/11
What is ((-112)/84)/(4/6 - 8/9)?
6
What is the value of (-2*1/(-1))/(-686 + 683)?
-2/3
Evaluate (25/(-3) + 1/3)/(-33 - -35).
-4
What is (0 - -1)/(-4)*31/((-12276)/(-264))?
-1/6
Evaluate -9 - 4 - (-885)/60.
7/4
Evaluate -10*(-2)/(-8) + (-5 - (-7)/2).
-4
What is the value of (60/(-25) + 1)/(13/65)?
-7
Calculate -2*(-3 + 18/(-3) - 180/120).
21
29/((-725)/275) + (2 - 8)
-17
What is (-26)/(-1950)*6 - 296/(-50)?
6
Evaluate (11 - (2 - -10))*(-3 + 17).
-14
What is the value of 0 + 11 - (-4 - -3)?
12
((-700)/75)/((-24)/(-18))
-7
What is the value of 2/15 - 43/(-4515)?
1/7
737/(-804) + (-4)/(-6)
-1/4
What is the value of (-4 - 5) + (-60)/(-50)*(-3 + -2)?
-15
Evaluate ((-5)/(-2))/((-10810)/(-184)).
2/47
What is (-61)/5 + (146 - 135)?
-6/5
What is the value of 38/(-4) - ((-33)/(-22))/3?
-10
Calculate (-31 - -34)*(-1)/3.
-1
What is ((-36)/15)/(165/275)*(-6)/(-8)?
-3
Calculate 9*(3 + (18/(-54))/(3/30)).
-3
What is 143/(-70) - ((-322)/(-420) + (-18)/27)?
-15/7
What is (21 - 17)/(-12)*(-9)/8?
3/8
-23 + 17 + (-112)/(-18) + (-34)/(-9)
4
What is the value of 1224/612 + -1 + (-1)/(123/129)?
-2/41
Evaluate (-2 - (-156)/15)/((1748/(-95))/46).
-21
Calculate (-1)/((-1288)/182 + 7/1*1).
13
Calculate (-7)/(-110) - (-18)/60.
4/11
(-14)/(-35) - 9/(-90)*(46 + 0)
5
Calculate (-10 - 363/(-36))/(-3*(-28)/(-48)).
-1/21
-3 + ((-75)/(-21) - -2 - 2)
4/7
((-7364)/(-420) + -19)*(-1 - 10/(-4))
-11/5
What is (-1 + 12/9)/(36/(-81)*1)?
-3/4
Evaluate (44 - 50) + (6 - -1).
1
What is the value of (3*-1)/((1485/(-60))/33) - 3?
1
Evaluate (((-48)/(-10))/((-49)/(-35)))/(10/(-35)).
-12
Evaluate -99*7/42 + 17.
1/2
What is the value of (-1 + 0)*(11/11 + 4)?
-5
What is the value of (-6 - (-3159)/504) + (-25)/200?
1/7
What is -2*4/(-24) - 220/858?
1/13
What is the value of (-60)/(-90)*54/(-48)?
-3/4
What is (-69)/(-3) + 7215/(-325)?
4/5
Evaluate (-623)/(-178)*(-4)/(-14).
1
What is the value of 255/60*2/(-8) + 1?
-1/16
What is 202/303 - ((-10)/3)/((-4)/2)?
-1
Calculate (-390)/(-30) + -6 + -9.
-2
91/(1365/(-100))*(-21)/(-45)
-28/9
What is 0*(-14 + 16 + -3)?
0
What is (-24 - -16) + 3 + 4?
-1
What is ((-1770)/(-472))/(-6 + 0/1)?
-5/8
Evaluate 4 + -4 + 5 + 770/110.
12
Evaluate (108/162)/(16/(-3)).
-1/8
What is the value of -28 + 14 + 52 - (12 - -1)?
25
(-17922)/2961 + 6 + (-26)/611
-2/21
Evaluate 8/(-6)*(-76)/(-8) - (-42 + 34).
-14/3
What is the value of -3 - ((21 - 5) + -9)?
-10
What is (30/(-4))/(17116/528 + -32)?
-18
Calculate (-2*6/(-9))/((-375)/225).
-4/5
What is (1/7)/(45/(-42))?
-2/15
(-56)/5 - 139/(-695)
-11
(102/12 - 5)*(-18)/(-21)
3
Evaluate (-18)/44 - (-136)/(-1496) - 22/(-28).
2/7
What is the value of 53*(-96)/(-83952)*(4 + -1)/(-1)?
-2/11
Calculate ((-48 - 0)/24)/(10/115).
-23
What is 1/28*4*((-4403)/(-222) + -21)?
-1/6
Calculate (((-20)/(-120))/(1/4))/((-136)/12).
-1/17
What is the value of (-11)/((-242)/(-4)) - 123/(-495)?
1/15
Evaluate (567/(-186) - -3)*(-9)/(-54)*8.
-2/31
Calculate (0 - -2)*((-1078)/220)/49.
-1/5
((-12)/1)/(-2)*12/(-18)
-4
Calculate -7*(-7 - (136/56 - 8))/2.
5
48/336 + ((-57)/7)/1
-8
What is (-25)/(-1375)*0 - (1 + 1 - -23)?
-25
Evaluate 2/(-24) - (-896)/672.
5/4
What is the value of ((-142)/(-852))/((-182)/(-396) + (-18)/99)?
3/5
What is the value of (3/(-6))/((-57)/(-1254))?
-11
((-640)/3040)/(72/(-76))
2/9
What is (-10)/(-50)*((-85)/15 - -4)*-18?
6
Calculate 1/(40/14) + -20 + (-1164)/(-60).
-1/4
What is 1 - 3 - ((-1360)/38)/17?
2/19
What is 5/((66/6)/(-22)*(-8)/(-4))?
-5
Evaluate (-55)/(-10) + 815/(-150).
1/15
Evaluate (-11)/(396/14)*3.
-7/6
Evaluate (-27 + -4)*55/55.
-31
((-50)/(-675))/(320/(-192))
-2/45
Evaluate (-11 - (-23)/(161/42) - -3)/16.
-1/8
Calculate -9*(5 + ((-9)/((-432)/(-376)) - -3)).
-3/2
Calculate 4/(-10) + (-3978)/255.
-16
What is (13/(-156)*1)/(3/(-18))?
1/2
8*(1155/(-270))/77
-4/9
What is 6/(-4)*(-20)/(-3)*3/2?
-15
Calculate 6/(-4 - 26/(-13)).
-3
Evaluate (2/(-8))/(((-437)/(-138))/19).
-3/2
What is the value of (-33)/6*2 + (12705/22)/77?
-7/2
Evaluate 1428/(-120) + -7 - -19.
1/10
What is the value of (20/(-18) + 1)/((-1603)/(-458))?
-2/63
What is -3 + -6 + (-4)/(-6) + (-225)/(-27)?
0
What is -20 + (-23)/((-460)/(-960))*-1?
28
What is ((-160)/15)/((8 - 30/5)/(-3))?
16
Calculate -24*(200/312 + 12/(-18)).
8/13
Calculate 2 + (8 + 11 + -20)*-16.
18
What is -7 + (-533)/(-78) - 4/(-12)?
1/6
What is 0 + (-8 - -40) + -5?
27
What is the value of ((-3)/(-8))/((-235)/1880)*1/6?
-1/2
What is the value of 2438/(-132825)*25 + 0 + (-2)/(-21)?
-4/11
What is (5/4)/((-87)/(-120) - (-36)/(-60))?
10
What is ((-404)/9393)/(2 + (-2)/(-9)*-6)?
-2/31
Evaluate (-98073)/6120 + (1 + 14 - -1).
-1/40
Evaluate 1/((24/(-400))/((-1)/15*-27)).
-30
Evaluate (-4018)/(-686) - (7 - (0 - -1)).
-1/7
Evaluate (-772 + 770)*((-5)/2 + 1).
3
Evaluate (-11428)/17142 + (-3)/((-9)/80).
26
Evaluate -5 - (1480/140 - 12/21).
-15
Calculate 26 - 1240/279 - 6/(-27)*2.
22
-15*(-15 - 4532/(-330))
19
What is (272/1088)/(28/(-72) + (-1)/(-4))?
-9/5
Calculate 38/(-2) + (14/(-49) - 12/(-42)).
-19
What is the value of -8 - (2/3 - (-28 + (-1386)/(-36)))?
11/6
What is the value of (4 - 10)*(165/(-220) - (-27)/4)?
-36
((101/(-5) - -7) + 13)*(7 + -4)
-3/5
What is the value of ((4 - 175/15) + 8)/(1/24)?
8
What is the value of (48/(-48))/(((-4)/152)/(1/10))?
19/5
Calculate (-9)/(-5)*((-11529)/(-324) + -36).
-3/4
Calculate 215/175 - (-3)/(-180)*-12.
10/7
Evaluate ((-15)/10)/((-3)/4)*2.
4
What is -2 + 16/3712*-16 + 246/203?
-6/7
150/(-400)*94/(-5) - 7
1/20
(18/(-30)*5)/(-5)
3/5
Calculate (10 - 10)/(-5) - -9.
9
Evaluate (9/(-5) + 1)/2 + (-693)/(-45).
15
Evaluate (1/((-2)/(-18)))/(-335 - -336).
9
What is the value of (4 - (-12 - -19))/3?
-1
What is ((-42)/15)/((-16)/90 + 70/(-315))?
7
What is ((-24)/27)/(-12 + (-4199)/(-351))?
24
(2136/(-16))/89*1/21
-1/14
(-18)/12*((-12)/2 - -10)
-6
Calculate (-1)/(-8) + 54/(-648).
1/24
9744/23142*2/8
2/19
Calculate 2/9 - (-100620)/(-405405).
-2/77
Calculate -2 + (-9 - -28) - 8.
9
What is 14/(-10) + 2/(-10) + 4272/7120?
-1
Calculate -13 - 2950/(-225) - (-33)/(-54).
-1/2
(280/70)/(2/(-1))
-2
What is 18*(-20)/4320 +
|
{
"pile_set_name": "DM Mathematics"
}
|
-v + 31, 0 = 4*v - 3*z - 100. Let r = 138/5 - v. Let j = 0 - 1. Which is the biggest value? (a) -2 (b) r (c) j
b
Let z = -0.02 + -1.98. What is the biggest value in 2, z, 16?
16
Suppose -16 = -4*a - 3*w + 16, -a - w = -9. Let x = 23.1 + -22.1. What is the second smallest value in a, x, 1/8?
x
Let d be 6/4 - (-3 + 4). Let o = 1821/8 + -228. Suppose w + w = r + 4, -5*r = -4*w + 2. What is the second smallest value in o, w, d?
d
Let w = -11 + 6. Let u = -41307/19 - -2174. Which is the third biggest value? (a) u (b) -3 (c) w
c
Let q = -0.67 - -0.7. Let b = q + -0.03. Let y = 0.055 + -0.355. What is the third biggest value in 6, b, y?
y
Let q = -6 + 4. Let z = 1241.9 + -1382. Let d = z - -140. Which is the biggest value? (a) -0.01 (b) q (c) d
a
Let p be (-8)/(-34)*2/4. Let i = -2 - -3. Let n be -3 - (-66)/84*77/22. Which is the second biggest value? (a) n (b) i (c) p
c
Let d = -359/15 + 24. Suppose 0 = 3*p - 6*p + 6. Which is the second smallest value? (a) d (b) p (c) -1/4
a
Let p = -0.06 + 1.16. Let y = 3.1 - p. Which is the fourth smallest value? (a) 1/2 (b) 2/11 (c) 3 (d) y
c
Let i = 2/61 + -69/244. What is the biggest value in -0.5, -9, i, -2?
i
Let q = -4.6 - -0.6. Suppose 4*r - 7 = -5*f, 5*f - r + 11 = r. Let u be (-56)/(-21) + (-2 - f/(-1)). Which is the second smallest value? (a) 4 (b) u (c) q
b
Let f = -51 - -74. Let i = -10 + f. Let y = i + -17. What is the smallest value in 1/5, 0.4, y?
y
Let m = -0.095 + 0.045. Let j = -47 - -48.05. Let x = m + j. Which is the third biggest value? (a) 0 (b) -4 (c) x
b
Let t = 0.057 + -4.057. Which is the smallest value? (a) -3 (b) 4 (c) 7 (d) t
d
Suppose 39*v - 43*v + 16 = 0. Let n = -10 + 8. Let b = 0.12 + -0.05. What is the smallest value in n, v, b?
n
Let p = -52 - -52.4. Let f = 2 + -2. Let y = f + -0.4. Which is the second smallest value? (a) p (b) y (c) 2
a
Let z = -2052 + 2026. Which is the fourth smallest value? (a) z (b) -3/5 (c) 5 (d) 2/11
c
Let m be (-2 + 6)*1506/60. Let p = m + -100. Which is the third biggest value? (a) p (b) -1.4 (c) -2
c
Suppose 40 = -3*m - 5. Let s be 3 + (-1)/(m/(-42)). Let v = s - 3/5. Which is the third smallest value? (a) 0.5 (b) v (c) 0
a
Let l = 1297 + -6486/5. Let r = -7057/17 + 415. What is the biggest value in l, 4, r, -4?
4
Let n = 28 - -80. Let w be 8/14 + n/(-238). Which is the third biggest value? (a) -4 (b) w (c) -5
c
Let q be 30/(-69)*-4 + -2. Let m = q - -71/184. Suppose -4*s + 7 + 5 = 0. What is the third biggest value in -4/3, s, m?
-4/3
Let h = 120.99 + -121. Let w be (2/24)/(33/6 - 6). Which is the second smallest value? (a) 2 (b) w (c) 4 (d) h
d
Suppose -2*f + 4*h - 2 = 2*h, -2*f + h = -2. Which is the second smallest value? (a) 2 (b) -5 (c) f (d) 5
a
Let g be (1 - -23)*(-8)/40*5. Which is the third smallest value? (a) -0.2 (b) 4/5 (c) g (d) 0
d
Let t = 88.9 + -89.1. Let x = -32/15 - -9/5. What is the smallest value in 5, t, x, 0.4?
x
Let o = 4738/9 - 526. What is the third smallest value in -0.1, o, 0?
o
Let y = -1527 + 1522. Which is the smallest value? (a) 0.2 (b) 3/2 (c) y (d) -0.2
c
Let x = -0.4 + 0.3. Let y = -0.4 + x. Let s = 188 + -190. What is the third smallest value in y, 1, s?
1
Let f be (1/7)/(6/(-2382)). Let r = 57 + f. Let g be ((-1)/(-7))/(594/77 + -7). What is the smallest value in 1/4, r, g?
g
Let g = 1.017 - 0.517. What is the second smallest value in g, -7, -29?
-7
Suppose -f + 15 = -6*f. Let q be 0/f - (2 + (-24)/13). Which is the second smallest value? (a) 1 (b) 1/3 (c) q
b
Let z = 22.4 - 22.2. Which is the smallest value? (a) z (b) -0.12 (c) 2
b
Let k = -533 + 530. What is the third biggest value in k, -126, 1/2?
-126
Let d = -29 + 19. Let f = -9.7 - d. What is the third biggest value in f, -2/3, 4/13?
-2/3
Let f be 6/9 + 4*1/(-5). Let j = -1.36 + -0.34. Let g = j + -0.3. Which is the third biggest value? (a) -0.3 (b) g (c) f
b
Let n = -0.03 + 0.13. Let l = -1.89 - -2.19. Let f = 101/2 + -1519/30. Which is the second biggest value? (a) l (b) n (c) f
b
Let s = -11 - -7. Let t = -2677333/55 + 48672. Let a = 33/5 + t. What is the biggest value in a, s, 0.2?
0.2
Let t = 0.25 + 4.75. What is the third biggest value in t, -0.5, -4?
-4
Let w = -3.26 + 3.06. What is the third smallest value in w, -1/2, -4/5, 0.02?
w
Let p = 169/3 + -56. Let c = 106 + -110.3. Let r = -0.7 + c. What is the biggest value in p, -1/10, r?
p
Let l = -7216/9 - -802. What is the second biggest value in -3/14, l, 5?
l
Let c(j) = -j**2 - 49*j - 52. Let i be c(-48). What is the fourth biggest value in 1/5, i, 0.3, -3/2?
i
Suppose 0 = -2*q - 15*q. What is the biggest value in 9, -1, 2, q?
9
Let w = -219 + -55. Let j = w + 245.4. Let o = 29 + j. What is the biggest value in 0.3, -0.2, o?
o
Suppose 5*p = 3*k, p - 9*k = -4*k. Which is the fourth smallest value? (a) p (b) -3/11 (c) 4 (d) 3/8
c
Suppose 9 = 7*j - 4*j. Suppose 4*u - j*f - 4 = -5, 0 = 2*f + 10. Let l be u/(-12) + (-4)/84. What is the biggest value in l, 0.2, -3?
l
Let z = 27 + -26.58. Let t = z - 0.22. What is the second biggest value in -1/10, t, 2?
t
Let n be (-326)/(-14) + 166/(-581). What is the smallest value in -5, 0.2, -1, n?
-5
Let x = 0.96 - 1. Let o = 186 + -185.8. What is the third smallest value in 2/5, x, o?
2/5
Let f(q) = -q**3 - 4*q**2 - 3*q + 1. Let o be f(-3). Let b = -11.7 - -7.8. Let v = b + -0.1. What is the biggest value in 5, o, v?
5
Suppose j - 7 = -3. Let x be (9/(-30))/(3/j). Let s = 9.5 - 5.5. Which is the smallest value? (a) x (b) s (c) -3
c
Let w = 6.931 - 7.36. Let q = w - -0.029. What is the third smallest value in 0.5, q, 1/7, 5?
0.5
Let w be 7/3*(-58)/406. Let o = 0.2 - 0.7. Let g = 1 + o. What is the third smallest value in w, g, 0.1?
g
Let h = -4 + 4.6. Let k = h + -2.6. Let f = -29 + 29.3. Which is the third smallest value? (a) f (b) 2/5 (c) k
b
Let n be (-22)/(-4) + (33 - 36). Which is the fourth biggest value? (a) -0.2 (b) -2 (c) n (d) -1
b
Let w = -0.4 - -0.3. Let t = -0.372 + 0.772. Which is the biggest value? (a) w (b) t (c) 5
c
Let q = -2.79 + -2.21. What is the second biggest value in -3, q, -59/2?
q
Let x(f) = f. Let h be x(5). Let q = -151 + 155. Which is the smallest value? (a) q (b) -0.2 (c) h
b
Suppose -13*n - 18 = -22*n. Which is the third smallest value? (a) -2/3 (b) 2/5 (c) n (d) -0.7
b
Let o = -0.7 + -0.3. Let y be (-5)/((-3)/3)*5. Suppose -10*c = -15*c + y. What is the second smallest value in c, -2/3, o?
-2/3
Let p(v) = -v + 6. Let w be p(5). Let f = 56.6 + -59. Let h = 1.9 + f. Which is the smallest value? (a) w (b) -2/15 (c) h
c
Let t = 0.5 + -0.7. Which is the smallest value? (a) 0.5 (b) t (c) 2 (d) 3
b
Let u(z) = -8*z + 123. Let r be u(15). Let s = -2.9922 - 0.0378. Let d = s - -0.03. What is the smallest value in r, 0, d?
d
Let m = -0.27 + 39.87. Let h = m + -20.5. Let d = h - 18. Which is the third biggest value? (a) -3 (b) 1 (c) d
a
Let y = -5 + 68. Let h = y - 59. What is the fourth biggest value in 1/2, 0, 2, h?
0
Let m = 50 + -49.6. Let u = 11.2 + -11. What is the third smallest value in m, 0.3, u, 2?
m
Let d = 0 + -2. Let r = d + 1.7. Let x = -4517 + 27103/6. Which is the third biggest value? (a) r (b) -1 (c) x
b
Let s = -23.4 - -23. What is the third smallest value in s, 1/2, -0.5, 4?
1/2
Let t be -6*4/6 + 2. Let h = t - -5. Let p be (h + 92/(-30))*-12. Which is the third smallest value? (a) -1/2 (b) -3 (c) p
c
Let a be 10/15*((-36)/8)/(-9). What is the second biggest value in -2, a, 51/2?
a
Suppose -5*l + 25 = 0, -4*i + 3*i - 9 = -l. Let k = -5.7 + 6. Which is the fourth smallest value? (a) k (b) i (c) -2/11 (d) -3/4
a
Let y(s) be the first derivative of -s**2 - 2*s + 2. Let f be y(-3). Let k = -2.3 - -2.7. Which is the smallest value? (a) f (b) k (c) 0.2
c
Let c = 5.9 + -5.6. Let b = -2.05 + 2.1. What is the second biggest value in b, 1, c?
c
Let o = 6 + -5. Suppose 5*z + 4*z = -36. Which is the third biggest value? (a) -1 (b) o (c) z
c
Let s(k) = 10*k**2 + k - 1. Let d be s(2). Let v = d - 35. Which is the second biggest value? (a) 2 (b) 1/7 (c) v
a
Let y = -1077 - -1109. Which is the fourth biggest value? (a) y (b) 4 (c) 3/5 (d) -0.5
d
Let j = 0.2 - 0.3. Let z = 18 + 6. Suppose -z = -8*y + 2*y. Which is t
|
{
"pile_set_name": "DM Mathematics"
}
|
ainder when 1774914 is divided by 633?
615
Calculate the remainder when 2397344 is divided by 7886.
0
Calculate the remainder when 375318 is divided by 25021.
3
Calculate the remainder when 122598 is divided by 1979.
1879
What is the remainder when 71242543 is divided by 270884?
51
Calculate the remainder when 1271535 is divided by 22307.
36
Calculate the remainder when 212198 is divided by 26515.
78
Calculate the remainder when 17833329 is divided by 775362.
3
What is the remainder when 22118798 is divided by 550?
548
What is the remainder when 6736182 is divided by 1948?
1946
Calculate the remainder when 73570 is divided by 320.
290
Calculate the remainder when 170338242 is divided by 1529.
1526
Calculate the remainder when 440863 is divided by 4690.
3
Calculate the remainder when 135603 is divided by 67659.
285
Calculate the remainder when 56385 is divided by 3312.
81
What is the remainder when 284588 is divided by 283358?
1230
What is the remainder when 156286 is divided by 2345?
1516
Calculate the remainder when 31706 is divided by 21.
17
Calculate the remainder when 9395472 is divided by 260.
112
Calculate the remainder when 1400986 is divided by 115.
56
What is the remainder when 745392 is divided by 3264?
1200
What is the remainder when 5712161 is divided by 1238?
29
What is the remainder when 36283 is divided by 12053?
124
What is the remainder when 64189 is divided by 13367?
10721
What is the remainder when 4813692 is divided by 985?
982
What is the remainder when 3474040 is divided by 32166?
112
Calculate the remainder when 6930 is divided by 763.
63
What is the remainder when 285333 is divided by 95110?
3
What is the remainder when 22543793 is divided by 2812?
2801
What is the remainder when 97508 is divided by 4631?
257
Calculate the remainder when 81316273 is divided by 48547.
48
Calculate the remainder when 1965467 is divided by 1161.
1055
Calculate the remainder when 431562 is divided by 207.
174
What is the remainder when 44889 is divided by 21539?
1811
Calculate the remainder when 228585 is divided by 2406.
15
Calculate the remainder when 1137119 is divided by 1049.
3
Calculate the remainder when 22700581 is divided by 49673.
20
Calculate the remainder when 3593456 is divided by 813.
809
Calculate the remainder when 1018489 is divided by 35120.
9
What is the remainder when 4128836 is divided by 110?
96
What is the remainder when 15113548 is divided by 3022708?
8
Calculate the remainder when 436714 is divided by 10.
4
Calculate the remainder when 1605669 is divided by 3975.
3744
Calculate the remainder when 4611417 is divided by 180.
177
Calculate the remainder when 147043 is divided by 7410.
6253
What is the remainder when 10109192 is divided by 36?
32
What is the remainder when 669150 is divided by 569?
6
What is the remainder when 41102824 is divided by 41102823?
1
Calculate the remainder when 3985278 is divided by 208.
206
What is the remainder when 30480013 is divided by 2539999?
25
Calculate the remainder when 355577 is divided by 7899.
122
What is the remainder when 4235747 is divided by 584?
579
What is the remainder when 262911 is divided by 7?
5
What is the remainder when 205588 is divided by 298?
266
Calculate the remainder when 24728816 is divided by 152.
88
What is the remainder when 71224 is divided by 451?
417
Calculate the remainder when 644475 is divided by 947.
515
Calculate the remainder when 13143645 is divided by 9559.
20
What is the remainder when 32058263 is divided by 8?
7
What is the remainder when 7853823 is divided by 1963392?
255
What is the remainder when 225968191 is divided by 1472?
1471
What is the remainder when 3488729 is divided by 164?
121
What is the remainder when 3266622 is divided by 296961?
51
Calculate the remainder when 377559 is divided by 1383.
0
What is the remainder when 3506569 is divided by 966?
955
Calculate the remainder when 322498 is divided by 40240.
578
Calculate the remainder when 4566612 is divided by 361.
323
What is the remainder when 965994 is divided by 10850?
344
What is the remainder when 168249 is divided by 40797?
5061
Calculate the remainder when 85307 is divided by 9019.
4136
Calculate the remainder when 3641153 is divided by 143.
87
What is the remainder when 2038828 is divided by 917?
337
What is the remainder when 5734999 is divided by 1012?
1007
What is the remainder when 183904641 is divided by 462?
459
What is the remainder when 271607046 is divided by 8?
6
What is the remainder when 512611002 is divided by 99?
90
What is the remainder when 12446489 is divided by 125?
114
What is the remainder when 588397 is divided by 1045?
62
What is the remainder when 370510 is divided by 1411?
828
What is the remainder when 50800 is divided by 1582?
176
What is the remainder when 387655 is divided by 129211?
22
Calculate the remainder when 41480 is divided by 2294.
188
Calculate the remainder when 5366037 is divided by 262.
15
Calculate the remainder when 321701 is divided by 2847.
2837
What is the remainder when 64106 is divided by 1974?
938
Calculate the remainder when 148479518 is divided by 21211358.
12
What is the remainder when 2632681 is divided by 3889?
3717
What is the remainder when 1775495 is divided by 1459?
1351
Calculate the remainder when 18605710 is divided by 390.
370
Calculate the remainder when 12887 is divided by 10437.
2450
Calculate the remainder when 3152066 is divided by 1874.
1872
Calculate the remainder when 2352519313 is divided by 3401.
3400
Calculate the remainder when 5069147 is divided by 1945.
477
What is the remainder when 61124935 is divided by 925?
10
What is the remainder when 2201239 is divided by 34394?
23
Calculate the remainder when 21504846 is divided by 10752413.
20
What is the remainder when 588623 is divided by 8139?
2615
Calculate the remainder when 1137957 is divided by 61.
2
What is the remainder when 3910481 is divided by 17?
5
What is the remainder when 10596321 is divided by 1114?
1067
What is the remainder when 30512672 is divided by 852?
848
Calculate the remainder when 111792 is divided by 37261.
9
Calculate the remainder when 6310963 is divided by 13.
9
Calculate the remainder when 260639 is divided by 1810.
1809
Calculate the remainder when 3785166 is divided by 946290.
6
Calculate the remainder when 464824 is divided by 11616.
184
What is the remainder when 706700 is divided by 964?
88
Calculate the remainder when 6812804 is divided by 3157.
3155
What is the remainder when 18213 is divided by 328?
173
What is the remainder when 7670641 is divided by 19?
18
Calculate the remainder when 105079 is divided by 3856.
967
What is the remainder when 9022832 is divided by 104?
0
Calculate the remainder when 2017337 is divided by 1951.
3
What is the remainder when 169662 is divided by 319?
273
Calculate the remainder when 69405 is divided by 6517.
4235
Calculate the remainder when 145988 is divided by 2663.
2186
Calculate the remainder when 95996 is divided by 2101.
1451
Calculate the remainder when 1961499 is divided by 490361.
55
Calculate the remainder when 1001754716 is divided by 23.
20
What is the remainder when 1542048 is divided by 834?
816
Calculate the remainder when 315959 is divided by 18.
5
Calculate the remainder when 2556457 is divided by 13598.
33
What is the remainder when 70571 is divided by 70514?
57
Calculate the remainder when 48186 is divided by 9634.
16
Calculate the remainder when 234269 is divided by 1563.
1382
Calculate the remainder when 24081757 is divided by 2623.
2617
Calculate the remainder when 3588952 is divided by 8270.
8042
Calculate the remainder when 213409 is divided by 94.
29
What is the remainder when 53046 is divided by 8351?
2940
What is the remainder when 35204819 is divided by 35?
34
Calculate the remainder when 2421241 is divided by 27.
16
What is the remainder when 1282123 is divided by 6475?
73
What is the remainder when 67295 is divided by 969?
434
What is the remainder when 4114004 is divided by 85?
4
What is the remainder when 260160 is divided by 226?
34
What is the remainder when 7373226 is divided by 44?
14
Calculate the remainder when 3592178 is divided by 76429.
15
What is the remainder when 6893 is divided by 1131?
107
What is the remainder when 133245922 is divi
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + 12*k**2 - 9*k**2)*(-6*k**2 - 219 + 219).
192*k**5
Expand (0 + 2 - 8)*(1 - 1 - 2*j - 2*j + 0 + 0 + (5*j - 4*j + 6*j)*(-4 + 4 + 2) + 2*j - 3*j - 2*j).
-42*j
Expand (-2 + 3 + 3 + (-2 + 1 + 0)*(-2 - 5 + 0))*(-n**2 + 6*n**2 - 2*n**2).
33*n**2
Expand (-4463 + 4463 + 77*h)*(-9*h**2 - 56*h + 56*h).
-693*h**3
Expand -3 + 2*k**5 + 3 + (k + k**3 - k)*(-1 + 1 + k**2) + 0*k - 2*k**5 + 0*k + 2*k**3 - 2*k**5 - 2*k**3 + 2*k**5 + 3*k**5 + 8*k**5 + 3*k**5 + k**5 + 4*k**5.
20*k**5
Expand (3*t**2 + t**2 - 6*t**2)*(-4*t + 2*t + t) + 2*t**3 + t**3 + 0*t**3 + (-6*t**2 + 3*t**2 + 2*t**2)*(3*t - 5*t + 4*t) + 2*t**2 - 2*t**3 - 2*t**2.
t**3
Expand -3*f**2 + f**2 + 0*f**2 + (2*f**2 + 3*f**2 - 4*f**2)*(1 - 4 + 2) + (-f + 0 + 0 + (3*f - 4*f + 5*f)*(6 - 3 - 1))*(11 - 4*f - 11).
-31*f**2
Expand (q + q - 5*q)*(-q**3 - 22838 + 22838 + 67*q**2).
3*q**4 - 201*q**3
Expand (-170*c**3 - 46*c**3 + 110*c**3)*(-3 - c - 3*c + 3*c).
106*c**4 + 318*c**3
Expand (-27*v + 16*v + 16*v)*(2 - 1 + 2)*(-v + 2*v + 0*v).
15*v**2
Expand i**2 - i**2 - 4*i**3 + (22*i + i**2 - 22*i)*(0*i + 4*i - 3*i).
-3*i**3
Expand (27*u**3 + 75*u**3 - 25*u**3)*(-u - 2 + 2).
-77*u**4
Expand (9 - 11 + 54 + 9)*(4*m - 3*m + 2*m).
183*m
Expand (f**2 - 3*f**2 + f**2)*(132*f - 128*f - 297*f).
293*f**3
Expand (3*j - 4*j + 2*j + (4 - 4 - 1)*(-5*j + j + 2*j) - 2*j + 3*j + j)*((-4*j + j - 7*j)*(-3*j + 3*j - 3*j**2) + 0*j**2 + j**3 + 0*j**2).
155*j**4
Expand (o - 3*o + 0*o)*(2*o - 2 + 2) - 2*o**2 - 8*o**2 - 12*o**2 - 8*o**2 + 11*o**2 - 6*o**2.
-29*o**2
Expand 581*d**3 - 581*d**3 + 24*d**4 + (0*d + d + d)*(-5*d + 5*d + 8*d**3) - 2*d**4 + 5*d**4 - d**4.
42*d**4
Expand (-3*o**2 + o**2 + 4*o**2)*(-4 - 2 + 3 - 6 + 5 + 0 - 1 - 1 + 4 + (-1 - 2 + 1)*(0 - 1 - 1) - 2 - 2 - 3 + (1 + 3 - 2)*(2 - 2 + 1) - 1 + 5 - 2).
-2*o**2
Expand (-2*w + 3*w - 3*w + (6 + 3 - 2)*(-4*w + 6*w - 4*w))*(5*w**2 - w**2 - w**2).
-48*w**3
Expand (-62 + 62 - 59*f)*(2 - f - 2 + (1 - 6 + 3)*(-2*f + 4 - 4)).
-177*f**2
Expand (0 + 0 - 2*c**2)*((4*c - 7*c - 5*c)*(5 - 5 + 2*c) + c**2 + 0*c**2 - 2*c**2 + (c - 4*c + 4*c)*(2*c + 0 + 0))*(4*c - c - 2*c).
30*c**5
Expand -14 - 27*x**5 + 14 + (x - 2*x**2 - x)*(5*x**3 + 2*x**3 + x**3).
-43*x**5
Expand c**2 - 3*c**2 + 4*c**2 + (-40*c + 78*c - 4 - 9*c)*(-5*c + 4*c + 0*c).
-27*c**2 + 4*c
Expand (2 - 3 + 2)*(-1 + 1 + 12)*(-j**3 - 3*j**3 - 8*j**3).
-144*j**3
Expand (s + 0*s - 3*s)*(7 - 3 - 3) + (0 + 1 + 1)*(-s + s - 2*s)*(-17 + 1 + 39).
-94*s
Expand (-7*q**2 - q**3 + 7*q**2 + q)*(-6 + 5*q + 12 - 7).
-5*q**4 + q**3 + 5*q**2 - q
Expand -a - a**5 + a + (-3*a + 5*a - a)*(3*a**4 + 3*a**4 - 4*a**4) - 4990*a - 7*a**5 + 4990*a + 23*a**2.
-6*a**5 + 23*a**2
Expand (32 - 46*p - 32)*(-2*p + p - p).
92*p**2
Expand (0*d**2 + d**2 + d**2)*(2*d**2 - 5*d**2 + 2*d**2) - 1463282*d**3 - 36*d**2 + 8*d**4 + 1463282*d**3.
6*d**4 - 36*d**2
Expand (2 - 2 + 1)*(2*z + 0*z - z) - 243 + 22*z + 243 - 2*z + 1 - 1 - 3*z + 0*z + 6*z + z - z + z.
25*z
Expand -2*k**4 - 3*k**2 + 3*k**2 + 2*k**4 - 1 + 1 + (2*k - 12*k + 20*k)*(-k**3 + 0*k**3 + 0*k**3).
-10*k**4
Expand 2*t**2 + 0*t**3 - t**3 - 776*t**4 + 777*t**4 + 3*t**3 + 4*t**4 - 3*t**3 + (-t + 2*t**2 + t)*(-2*t**2 + 0*t**2 + 3*t**2).
7*t**4 - t**3 + 2*t**2
Expand 3*s**2 - 3*s**2 + 2*s**3 - 5*s**3 + s + 6*s**3 - 5*s**3 + (-1 + 27 - 5)*(-2*s**3 + 2*s**3 + 2*s**3) - 3*s**3 + 5*s**3 - s**3.
41*s**3 + s
Expand (-3*n**3 + 3*n**3 - 16 + n**3)*(-n + 4*n - n).
2*n**4 - 32*n
Expand (y + 2*y - 2*y)*(8*y - 2*y + 7*y)*(-2 + 2*y + 2)*(-2*y**2 + 5 - 5).
-52*y**5
Expand (8*y**2 + 7*y**2 - 26*y**2)*((0*y + 0*y + y**2)*(-1 + 4 - 2) - y + y + 2*y**2)*((0 + 3 - 4)*(0*y + 3*y + 0*y) + 2 + y - 2).
66*y**5
Expand (-7 - 199 - 14)*(-m**4 - 3*m**3 + 0*m**4 + m**3).
220*m**4 + 440*m**3
Expand -55*b + 55*b - 28*b**2 + 0 - b**2 + 0 + (-1 + 1 + b)*(-1 + 1 + 2*b) - 3*b**2 + 2*b**2 + 4*b**2.
-24*b**2
Expand (-1 + 4 + 0)*(-1 + 5 - 1)*(f**2 + f**2 - f**2).
9*f**2
Expand ((-5 + 0 + 4)*(-3*c**2 + c**2 + 0*c**2) + 0*c**2 + 7*c**2 + 0*c**2)*(-c + c + c).
9*c**3
Expand (-4 + 2 - 3)*(44 + 34*f - 44).
-170*f
Expand (3 + p**3 - 3 + (2 - 2*p - 2)*(-2 + 2*p**2 + 2))*(31*p + 19*p**2 - 9*p - 17*p**2).
-6*p**5 - 66*p**4
Expand 24 - 9*c**3 - 24 + (0*c**2 + 0*c**2 - 2*c**3)*(3 + 2 - 3) + (12 - 7*c**3 - 12)*(3 + 0 - 2) - c**3 - 2*c**3 + c**3.
-22*c**3
Expand (2*r + 9 - 9 + 2)*(0 + 0 + 3)*(4 - 4 - 6*r**2).
-36*r**3 - 36*r**2
Expand (-5*o**2 + o**2 + 141 - 7*o**3 - 2*o - 142)*(-5*o + 2*o + 2*o) + 0*o**4 + 2*o**4 + 0*o**4 + (-2*o + 2*o - o**2)*(-6*o**2 + 0*o**2 + 4*o**2).
11*o**4 + 4*o**3 + 2*o**2 + o
Expand (4*q**3 - 5*q**3 + 3*q**3)*(3*q**2 - 2*q**2 - 3*q**2) + 2*q**5 - q**5 + 0*q**5 + (-4*q - q**4 + 4*q)*(-36 - 21*q + 17 + 18).
18*q**5 + q**4
Expand (3*v - 2*v - 2*v)*(v**3 - 4 + 4) - 3*v**4 - 2*v**4 + 3*v**4 - 142*v**4 + 4*v**4 + 21*v**4.
-120*v**4
Expand 62*x**2 - 10*x**2 - 19*x**2 + 64*x**2 + 4*x**2 - x**2 - x**2 + 4 + x**2 - 4 + (0*x - 4*x + 3*x)*(-2 - 2*x + 2) - 3*x**2 + x**2 + x**2.
101*x**2
Expand ((-1 + 3 + 0)*(1 + 4 - 4) - 1 + 5 - 1)*((-4*i**4 + 0*i**4 + 3*i**4)*(i + 2*i + i) + 2*i**3 - 2*i**5 - 2*i**3 + 2*i**5 + 3*i**4 - 3*i**4).
-20*i**5
Expand (q**2 - 3*q**2 + q**2 + (0 + 0 + q)*(-3*q + 3*q - 7*q))*(10*q**3 - 24*q**2 + 24*q**2).
-80*q**5
Expand (-238 + 231*r + 238)*(-r - 3*r + 0*r).
-924*r**2
Expand (2 + 219*y**2 - 2 + 214*y**2 - 13*y**2)*(-2*y**2 + 4*y**2 - y**2).
420*y**4
Expand (3 - 3 + d)*(1 - 23 - 28)*(0 + 0 + 2*d) - d**2 - 1 + 1.
-101*d**2
Expand (5 - 5 - 4*r)*(2*r - 2 + 2 + 0*r + 2*r + 0*r + (-5 + 0 + 3)*(-1 + 1 - 2*r) + 10 + 10 - 25 + 4*r).
-48*r**2 + 20*r
Expand -62*k**5 + 13*k - 13*k + 5*k**2 - 5*k**2 + (2*k**4 + 5*k**4 - k**4)*(0*k + 3*k - 2*k).
-56*k**5
Expand (a + 0*a + 2*a)*(-2*a + 4*a + a + (-4 + 4 + 1)*(0*a + 3*a - 5*a)) + (1 - 2*a - 1)*(2*a + 3*a - a).
-5*a**2
Expand (2*k**2 - 2*k**2 + 2*k**2)*(-5*k**2 + 2*k**2 + 2*k**2) + 13*k**4 + 215*k**3 - 215*k**3.
11*k**4
Expand (-1 - 3 - 7 - j)*(-3 + 1 + 6).
-4*j - 44
Expand (h + 4*h - 6*h)*(729*h - 383*h - 236*h) + (-2*h + 0*h + 4*h)*(2*h - 1 + 1) + (-2*h + 2*h + 2*h)*(3 + h - 3).
-104*h**2
Expand (4*i - 6*i - 2 + i)*(3 - 3 - 4)*(49*i**2 - 2*i**2 + 5*i**2).
208*i**3 + 416*i**2
Expand -2*i + 0*i + 0*i + (2 + 2*i - 2)*(0 + 3 - 1) - 10 + 10 + 16*i - 5*i - i + i.
13*i
Expand (-q - q + 3*q)*(2*q**2 - 5*q**2 + 5*q**2) + 3*q**2 - 2*q**3 - 3*q**2 + (-2*q + 0 + 0)*(2*q + 3*q**2 - 2*q) + 4*q**3 - 4*q**3 - q**3.
-7*q**3
Expand 31*t**2 - 14*t**2 + t**2 + 37*t**2 + (2 + 0 - 1)*(t**2 - 3*t**2 - t**2).
52*t**2
Expand (-1 + x + 1)*(-6*x + 4*x + 0*x + (-5*x - 2*x - x)*(0 + 6 - 4))*(4 - 4*x**2 + 5 - 7).
72*x**4 - 36*x**2
Expand (4*p**3 + p + 44*p**4 - 92*p**4 + 47*p**4)*(4 + 15 - 2).
-17*p**4 + 68*p**3 + 17*p
Expand (-2*d - 27*d**2 + 2*d)*(-39 + 76 - 36).
-27*d**2
Expand (1705*l**4 - 126*l**4 + 192*l**4)*(0 + 0 - 2*l).
-3542*l**5
Expand (-8*y + 9*y + 0*y)*(0*y - 12*y**2 + 0*y + 1 + y**2 - 1 + (y + 2*y - 5*y)*(6*y - 4*y - 3*y) + y**2 + 1 - 1).
-8*y**3
Expand (2 + 3 - 3)*(-47*l - 16*l - 13*l).
-152*l
Expand (3*f + 0*f - 4*f)*(-f**3 + 3*f**3 - f**3) - f - 3*f**4 + f + 11*f - 11*f + 2*f**4 - 4.
-2*f**4 - 4
Expand -6*x**5 + 0*x**5 - 5*x**5 - 2*x**5 - 2*x**5 + 2*x**5 - x**5 - x**4 + x**4 + (-3 + 3 + x)*(-2*x**4 - x**4 + x**4) - 31*x**5 + 0*x**5 + 0*x**5.
-47*x**5
Expand (0*w - 2*w + 0*w + (2*w - 3*w + 2*w)*(-3 + 2 + 0))*(16*w + 0*w - 9*w).
-21*w**2
Expand 3*q - 7*q - 5*q + (-1 + 1 + 2)*(4*q + 2*q - 4*q) + 0*q + 0*q - q.
-6*q
Expand t - 4*t + 5*t + 0*t + 0*t - t - 3*t + 2*t + 0*t + 1 + t - 1 + (-1 - 2 + 2)*(-1 - 2*t + 1) + t - 1 + 1 - 12 + 12*t + 12 + (0 + 3 - 1)*(2 - 2 - 2*t).
12*t
Expand (-2*g + 2*g + 2*g)*(42 - 42 - 6*g)*(6*g - g + 3*g).
-96*g**3
Expand -2*x**2 - 2*x**3 + 2*x**2 + (x + 0*x + 0*x)*(3 - x**2 - 3) + 0*x**3 - 3*x**3 + 2*x**3 - 13*x**3 + 31*x**3 - 10*x**3.
4*x**3
Expand (0*c + 0*c + 2*c)*(-21656*c - 4*c**2 + 10*c**2 + 1 + 21651*c).
12*c**3 - 10*c**2 + 2*c
Expand -3*m**5 + 0*m**5 + 5*m**5 + (10*m**4 - 7*m**3 + 7*m**3)*(122 - 62 + 32*m - 58).
322*m**5 + 20*m**4
Expand (0*l + 3*l - 2*l)*(494 + 416 - 1179).
-269*l
Expand (v - v**4 - v + 5*v**4 - v**4 - 2*v**4 + v**4 + v**4 - v**4 + (2*v + 2*v - 2*v)*(2*v**3 - 2*v**3 + v**3) + 0*v**4 + 2*v**4 - v**4)*(-14 + 68 + 44).
490*v**4
Expand ((-4*p**3 + 3*p**3 + 0*p**3)*(-1 + 0 + 2) + 4*p**3 + 13*p - 13*p + p**3 - 4*p + 4*p)*(-1 + 1 - p).
-4*p**4
Expand -19*m**2
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let b(q) = -6*q**3 + 6*q**2 + 401*q + 1. Determine -b(h) + 2*s(h).
6*h**3 - 407*h + 1
Let d(l) = -l**3 + 2*l - 4. Let k(y) be the first derivative of -y**2/2 + y + 837. Give -d(h) - 4*k(h).
h**3 + 2*h
Let b(p) = 26*p + 12. Let h(i) = 29*i + 10. Determine -6*b(r) + 5*h(r).
-11*r - 22
Let k(v) = -5*v**2 + 3*v - 3. Let p(j) = 6*j**2 - 3*j + 4. Let f(y) = 4*k(y) + 3*p(y). Let a(i) = -5*i**2 + 5*i. Let q = 6145 - 6140. Determine q*f(h) - 3*a(h).
5*h**2
Let b(c) = 5*c - 1 - c + 2*c - 5*c. Let q(r) be the second derivative of r**3 - r**2 + 169*r + 1. Suppose -3 = 3*n + 3. Determine n*b(m) + q(m).
4*m
Let d(o) = o - 1. Let n(z) be the second derivative of z**5/10 - 5*z**4/12 - z**3 + 5*z**2 + 3*z - 508. What is 6*d(t) + n(t)?
2*t**3 - 5*t**2 + 4
Let m(c) = 2256*c**2 - 53. Let x(n) = 4513*n**2 - 89. What is -5*m(q) + 3*x(q)?
2259*q**2 - 2
Let v(g) = -295 - g + 603 - 309. Let z(f) = -7*f**2 - 5*f. Calculate -3*v(j) + z(j).
-7*j**2 - 2*j + 3
Let g(x) = -3*x**2 - 29*x + 16. Let b be g(-10). Let m(o) = 9*o + b - 14 + 8. Let f(v) = -3*v. Calculate -8*f(q) - 3*m(q).
-3*q
Let i(s) = -18*s + 11. Let y(t) = -t + 1. Let b be ((53 - 21) + -20)/(4/(44/3)). Determine b*y(d) - 4*i(d).
28*d
Let u(w) = w - 712. Let q(f) = -3*f + 2150. Give 5*q(x) + 16*u(x).
x - 642
Let l(i) = -11*i - 2. Let r(n) = -n**2 + 5*n + 372. Let x be r(22). Let z(b) = -6*b - 1. Calculate x*l(p) + 5*z(p).
-8*p - 1
Let b(u) = -15*u**2 - 7*u - 7. Let w(x) be the second derivative of 0 + 132*x - 5*x**2 - 5/3*x**3 - 11/6*x**4. Determine 7*b(a) - 5*w(a).
5*a**2 + a + 1
Let a(n) = 3*n - 6. Let l(v) = -3*v - 41. Let b(w) = 15*w + 229. Let k(o) = 2*b(o) + 11*l(o). Determine 3*a(i) + 2*k(i).
3*i - 4
Let s(t) = -2*t**2 - 83*t - 1. Let a(q) = -10*q**2 - 333*q - 31. Determine -2*a(l) + 9*s(l).
2*l**2 - 81*l + 53
Let y(j) = 9*j**3 + 52*j**2 + 124. Let s(h) = -3*h**3 - 18*h**2 - 44. Determine 17*s(z) + 6*y(z).
3*z**3 + 6*z**2 - 4
Let r be (-8382)/(3 - 9) - 1. Let o(x) = r*x - 1402*x - 8*x**3 - 5 - 5. Let d(t) = -7*t**3 - 5*t - 9. Calculate -7*d(b) + 6*o(b).
b**3 - b + 3
Let l(t) = -5*t**3 - 4*t**2 + 4*t. Let c(n) = 2657*n**3 + 0 + 0 - 5317*n**3 - 15*n + 2680*n**3 + 15*n**2. Calculate -4*c(d) - 15*l(d).
-5*d**3
Let g(n) = 12*n + 167. Let p(r) = 11*r + 165. Give 2*g(a) - 3*p(a).
-9*a - 161
Let c(f) = -3*f**2 + 4*f + 1. Let q(a) = 38*a + 44*a + 52 + 37*a - 2*a**2 - 116*a - 51. Give -4*c(y) + 5*q(y).
2*y**2 - y + 1
Let v(a) = -9*a**2 + 5. Let q(d) = -43*d**2 - 18*d + 41. Let w(n) = 22*n**2 + 8*n - 20. Let c(x) = -4*q(x) - 9*w(x). Determine 2*c(u) - 7*v(u).
11*u**2 - 3
Let c(w) = 4*w - 5. Let u(p) = -11*p + 15. Suppose 68 = -3*a - a - 3*k, -25*k = -23*k. What is a*c(i) - 6*u(i)?
-2*i - 5
Let j(r) be the second derivative of -2/3*r**3 + 21*r + 0 + 1/6*r**4 - r**2. Let a = 0 - 5. Let v(l) = -4*l**2 + 9*l + 4. Calculate a*j(n) - 2*v(n).
-2*n**2 + 2*n + 2
Let n(z) = 29*z - 26. Let m be (-4345)/(-1100) + 1/20 + -12. Let x(r) = -10*r + 9. Determine m*x(l) - 3*n(l).
-7*l + 6
Suppose 0 = 3*z + 2*z - 105. Let b(j) = -j - 6*j + 16 - 5 + 11*j - z*j. Let i(s) = 8*s - 5. Let a = -4 + 10. Determine a*b(d) + 13*i(d).
2*d + 1
Let k(p) = 1. Let b(t) = -2*t + 5. Let y(a) = b(a) + 4*k(a). Let f(j) = j - 4. Suppose -4*l = 8 - 32. Calculate l*y(v) + 13*f(v).
v + 2
Let t(o) be the second derivative of -2*o**2 - 1/6*o**4 + 0 + 2*o - 13/6*o**3. Let s(x) = -x**2 - 9*x - 3. Suppose 141 = 49*f - 104. What is f*t(d) - 7*s(d)?
-3*d**2 - 2*d + 1
Let p(a) = 20601*a - 40. Let o(b) = -103004*b + 220. What is 2*o(f) + 11*p(f)?
20603*f
Let o(u) = -15059*u**2 + 2*u. Let a(h) = -105434*h**2 + 15*h. Calculate 2*a(j) - 15*o(j).
15017*j**2
Let n(a) = -3. Let l be -2 + 5 + -5 + -1. Let w = 137 + -132. Let t(b) = 4 - w + b**3 - 3 - 1. Calculate l*t(r) + 5*n(r).
-3*r**3
Let s(m) = 23*m**2 - 12*m - 7. Let d(i) = 28*i**2 - 11*i - 6. Give 4*d(y) - 5*s(y).
-3*y**2 + 16*y + 11
Let b(c) = -2*c**2 - 3*c + 2. Let y(l) = -2*l - 7. Let x be y(-4). Let r(k) = -1 + 2 - 2 + k - 3*k + k. What is x*b(o) - 2*r(o)?
-2*o**2 - o + 4
Let y(v) = 21*v**3. Suppose 0 = -5*j - 2415 + 2435. Let f(h) = -62*h**3. Determine j*f(q) + 11*y(q).
-17*q**3
Let n(a) = -4*a - 2. Suppose 2*s + 3*t - 415 = 8*t, 2*t - 1081 = -5*s. Suppose s = -3*o + 23. Let c = 62 + o. Let d(m) = 3*m + 1. Calculate c*n(x) - 3*d(x).
-x + 1
Let s(d) = -21*d - 1. Let n(a) = 25*a + 1. Let u(c) = 5*n(c) + 6*s(c). Let f(q) = q - 6. Determine f(y) - 2*u(y).
3*y - 4
Let h(i) = i - 3. Let g(o) = -7*o + 6. Determine g(d) + 3*h(d).
-4*d - 3
Let p(r) = -23*r**2 - 22*r - 14. Let o(x) = -27*x**2 - 18*x - 12. What is 6*o(h) - 5*p(h)?
-47*h**2 + 2*h - 2
Let y(t) = -36*t**2 + 11. Let a(w) = 7*w**2 - 2. Let c be 1 + -8 - ((-42)/441 + 1214/(-42)). Determine c*a(o) + 4*y(o).
10*o**2
Let z(q) = -16*q**2 + 154*q - 44. Let u(y) = 17*y**2 - 185*y + 43. What is -5*u(r) - 6*z(r)?
11*r**2 + r + 49
Let w(q) = -q**2 - q + 2. Let o(n) = 17*n**2 - 64*n**2 + 2*n + 30*n**2 - 9 + 21*n**2 + 4*n. Give 2*o(g) + 11*w(g).
-3*g**2 + g + 4
Let p(f) = 79*f**3 - f**2 - 6*f + 5. Let u(j) = 156*j**3 - 3*j**2 - 13*j + 11. Give -7*p(b) + 3*u(b).
-85*b**3 - 2*b**2 + 3*b - 2
Let a(n) = n. Let q(d) be the second derivative of 19*d + 0 + d**2 - 1/3*d**3 - 1/12*d**4. Let f(i) = -3*i**2 - 4*i - 2. Let b be f(-2). Give b*a(y) - 2*q(y).
2*y**2 - 2*y - 4
Let o(u) = 4*u**2 + u - 6. Let z(l) be the third derivative of 0*l - 1/20*l**5 + 5/6*l**3 + 6*l**2 - 14 + 0*l**4. Calculate 4*o(f) + 5*z(f).
f**2 + 4*f + 1
Let y(f) = -3*f - 6. Let o(z) = -z - 1. Let r be (-24)/10 + (3 - (-180)/(-50)) - -4. Give r*o(k) - y(k).
2*k + 5
Let n(g) = 5*g**3 + 17*g**2 - 47*g + 8. Let q(x) = 14*x**3 + 49*x**2 - 133*x + 23. What is 17*n(c) - 6*q(c)?
c**3 - 5*c**2 - c - 2
Let i(d) = 1946*d - 2. Let v(y) = -52514*y + 55. Give -165*i(o) - 6*v(o).
-6006*o
Let n(a) = -666*a**3 - 13*a**2. Let j(d) = 665*d**3 + 16*d**2. Give 4*j(z) + 5*n(z).
-670*z**3 - z**2
Let d(w) = -9117*w**2 + 65*w. Let x(g) = -66531307*g**2 + 474344*g. Determine -36488*d(p) + 5*x(p).
4561*p**2
Let t(f) = 2*f + 1. Let p(v) = -2*v**3 + 2751*v**2 + 8*v + 4. Calculate -p(k) + 4*t(k).
2*k**3 - 2751*k**2
Let y(x) = 26*x - 29. Let v(g) = -136*g + 154. Determine -3*v(l) - 16*y(l).
-8*l + 2
Let q(f) = f + 0*f - 2 - 57*f**2 - 10*f - 47 + 68*f**2. Let p(t) = 5*t**2 - 4*t - 25. Determine 9*p(d) - 4*q(d).
d**2 - 29
Let f(s) = 110*s - 45. Let t(q) = 5*q - 9. Let n(h) = 3*h - 4. Let z(a) = -5*n(a) + 2*t(a). Let m(w) = w**2 - 28*w - 435. Let d be m(40). Give d*z(u) + 2*f(u).
-5*u
Let j(z) = -53*z**2 - 12*z - 36. Let o(a) = -106*a**2 - 23*a - 67. Let m(n) = -11*j(n) + 6*o(n). Let g(c) = 54*c**2 + 7*c + 7. Determine 6*g(l) + 7*m(l).
-47*l**2
Let b be ((-3)/84*77)/(2/8). Let y(x) = -8*x**3 - 3*x**2 - 3*x + 3. Let r(s) = 33*s**3 + 11*s**2 + 11*s - 11. Calculate b*y(h) - 3*r(h).
-11*h**3
Let p(g) = -14*g**2 + 7*g - 10. Let c(f) = -f**2 - 5*f + 7 + 7*f**2 - 5*f**2 + 8*f**2. Suppose 75 = -15894*m + 15879*m. Calculate m*p(z) - 7*c(z).
7*z**2 + 1
Let d(q) = -101*q**2 + 3206. Let i(s) = 7*s**2 - 229. Calculate 6*d(t) + 87*i(t).
3*t**2 - 687
Let j(x) = 4*x**2 - 4*x. Suppose 4*g + 4*i - 24 + 28 = 0, -2*g + 4 = 5*i. Let d be -2*((g - -4) + -3). Let v(q) = q**3 - 5*q**2 + 5*q. What is d*v(o) + 5*j(o)?
4*o**3
Let b be 25/(0 + -5) + 10. Suppose -4*p + 3*q + 34 = -2*q, -p + b*q = -16. Let a(k) = -9*k + 5. Let c(x) = 1 - 3*x + 5 - 7*x. Calculate p*a(l) - 5*c(l).
-4*l
Let a(w) = -6*w - 3 + 1 + w. Let b(k) = -26*k - 10. Suppose 4184*x = 4152*x + 352. Give x*a(c) - 2*b(c).
-3*c - 2
Let x(r) = 5223018*r**3 + 3516*r. Let v(f) = -22273*f**3 - 15*f. What is 1172*v(t) + 5*x(t)?
11134*t**3
Let a(p) = 6*p + 21. Let i(f) = -5*f - 21. Suppose -z - 2*r = -5, 4*z + r = -z + 25. Let t(x) = z*i(x) + 4*a(x). Let g(u) = -4. What is 11*g(m) - 2*t(m)?
2*m - 2
Let r(h) = -4218*h + 37. Let n(i) = 2108*i - 15. Calculate 5*n(y) + 2*r(y).
2104*y - 1
Let q(x) = 2*x**2 + 1. Let i(c) = 271*c**2 + 2*c - 5. Calculate -i(g) - 5*q(g).
-281*g**2 - 2*g
Let t(u) = -1073710*u**2 - 454*u - 2951. Let n(v) = 18837*v**2 + 8*v + 52. Calculate 227*n(h) + 4*t(h).
-18841*h**2
Let u = 1582 - 1580. Let v(p) = 27*p**2 + 5*p - 9. Let r(x) = 13*x**2 + 2*x - 4. What is u*v(a) - 5*r(a)?
-11*a**2 + 2
Let v(n) = -3*n**3 - 84*n**2 - 8*n. Let l(q) = -6*q**3 - 168*q**2 - 14*q. Calculate -4*l(i) + 7*v(i).
3
|
{
"pile_set_name": "DM Mathematics"
}
|
/(-9) + (8 - (-350)/(-45)).
73
Let c(x) = -61*x**2 + 30*x**2 + x + 32*x**2 - 5. What are the prime factors of c(12)?
151
Let o(w) = w - 2. Let t be (35/10)/(2/4). Let p be o(t). What are the prime factors of -3 + 1 + (16 - p)?
3
Suppose -3*j = -12, 0*b + 4*b + 3*j = 2416. What are the prime factors of b?
601
Let z be (0/1 - -2)*(-5 + 2). What are the prime factors of (-492)/z + (2 + -2 - 2)?
2, 5
Let d(z) = z**2 + z - 17. Let o be d(4). Suppose -5*t + 3*y + y + 27 = 0, o*t = -y + 6. What are the prime factors of t?
3
Let n be 1/(-2) - (-3)/6 - -7. Suppose n*b = -5*b + 780. What are the prime factors of b?
5, 13
Let f = -151 - -149. List the prime factors of ((-2)/4)/(f/1024) + -1.
3, 5, 17
Let j(u) = 52*u + 3. Suppose -b - o + 7 = 0, -4*b + 11 = -2*b + o. List the prime factors of j(b).
211
Let y(u) be the first derivative of u**4/2 - 4*u**3/3 + 3*u**2 - 5*u - 9. What are the prime factors of y(3)?
31
Let h be 1/(-1) + 8/(16/6). What are the prime factors of 2301/52 - h/8?
2, 11
Let l(c) = 35*c**3 + 2*c**2 - 1. Let t be l(1). Let g = -29 - -10. Let y = t + g. List the prime factors of y.
17
Let v(o) = -21*o + 3 + 1 - 2 - 9*o. Let u = 1 - 2. List the prime factors of v(u).
2
Let v be 9/(-3)*(-18)/27. Suppose 0*o + 344 = v*o. What are the prime factors of o?
2, 43
Let b(l) = -2*l - 19. Let g be b(-11). Suppose g*j - 15 = 8*j, j + 218 = 5*s. What are the prime factors of s?
43
Let j(x) = -x**2. Let u(o) = -21*o**2 - o + 2. Let y(n) = 3*j(n) - u(n). What are the prime factors of y(-2)?
2, 17
Suppose -10*c + 5*c + 4*k = -7258, 5*c - 5*k - 7255 = 0. What are the prime factors of c?
2, 727
Let l(f) = 6*f**2 + 15*f + 5. What are the prime factors of l(-11)?
2, 283
Suppose 0 = -0*m + 8*m - 56. Let f(n) = 2*n**3 - 10*n**2 - 5*n + 16. What are the prime factors of f(m)?
3, 59
Suppose 19 = -4*k - q + 122, 0 = 2*k - 5*q - 57. Let c = 44 - k. List the prime factors of c.
2, 3
Let p(z) = z - 2*z + 6*z + 9 + z**2. Let x be 4/5 + (-117)/15. List the prime factors of p(x).
23
What are the prime factors of 123/((1/30)/((-210)/(-189)))?
2, 5, 41
Let j be -3 + -2 + 14 + -4. Suppose t = j*t - 300. List the prime factors of t.
3, 5
Suppose k = d - 1397, -12*d + 16*d + 2*k - 5570 = 0. List the prime factors of d.
2, 17, 41
Let u(g) = g**3 - 17*g**2 + 6*g - 24. Let h be u(17). Suppose -4 = -4*m + 2*m. Suppose o - h = -m*o. List the prime factors of o.
2, 13
Suppose 700 = -9*p + 13*p. List the prime factors of p.
5, 7
Let p(n) = -n**3 + 15*n**2 + 17*n - 4. Let r be p(16). What are the prime factors of (-3)/r + (-325)/(-20)?
2
Suppose -3*j + 0*j + 9 = 0. Suppose 2*m = -3*i + 137, -3*m - m = -j*i + 167. List the prime factors of i.
7
Suppose 3*t + 55 = 79. Let c = t - -121. List the prime factors of c.
3, 43
Let y(r) = -9*r + 12. Let i(f) = -36*f + 49. Let q(p) = -2*i(p) + 9*y(p). What are the prime factors of q(-5)?
5, 11
Let x(y) = -8*y - 1. Let i be 18/6*(0 + 1). Let f be x(i). Let b = f - -48. What are the prime factors of b?
23
Suppose -8*h + 18 + 14 = 0. What are the prime factors of (-1)/h - 931/(-28)?
3, 11
Let m be ((-1)/(-2))/(2/16). Let z = -331 - -411. Suppose -m*q + 2*q = -z. List the prime factors of q.
2, 5
Suppose -231 = -7*v + 3*v - 5*m, m + 261 = 4*v. Suppose -2*d - 22 = n + d, 4*n + 3*d + 115 = 0. Let x = n + v. What are the prime factors of x?
3, 11
Let c(p) = -p**3 - p**2 + 2*p + 166. Let j be c(0). Let r = 365 - j. List the prime factors of r.
199
Let m(o) = -2*o + 12*o - 16 - 3*o. Suppose 2*c + 34 = 5*q - c, -3*q + 4*c = -16. List the prime factors of m(q).
2, 5
Suppose v + p = 18 + 4, -19 = -v - 2*p. What are the prime factors of v?
5
Suppose -n - p + 6*p = -317, -5*n = -4*p - 1501. What are the prime factors of n?
3, 11
Let p be -3 + 1 - (-2 - 2). Suppose -p*g + 3 = -3*m, -4*m + 3 = -g + 2. Suppose -v + 25 = -m. What are the prime factors of v?
2, 13
Suppose 1 = -3*x + 19. Let h be (2/1)/(x/39). Suppose h = 3*m - 59. What are the prime factors of m?
2, 3
Let w(m) = -5*m - 1. Let l be w(-1). Suppose -16 = -4*h + l. Suppose -2*o + 1 = -h. What are the prime factors of o?
3
Let k = 33 + -28. Suppose 3*w + k*y = 74, 5*w + 0*y - 118 = -3*y. What are the prime factors of w?
23
Let r(h) = -7*h**3 + 13*h**2 - 15*h - 17. Let i(z) = 6*z**3 - 14*z**2 + 16*z + 16. Let k(m) = 6*i(m) + 5*r(m). What are the prime factors of k(18)?
5, 13
Suppose 3*b + 4*l - 3*l - 9 = 0, 0 = 4*l. Suppose 0*s - 1255 = -5*x - s, -985 = -4*x + b*s. Let a = x + -179. What are the prime factors of a?
71
Let y(h) = 3*h**3 - 57*h**2 - 16*h + 32. What are the prime factors of y(20)?
2, 3, 19
Let g(f) be the third derivative of -f**6/120 + f**5/15 - f**4/24 + 7*f**3/6 + f**2. Let b be g(3). Suppose 7*j - 195 = -b. List the prime factors of j.
2, 13
Let q = 9 + -6. List the prime factors of 40 + 6/(q - 0).
2, 3, 7
Let y(u) = 10*u**2 - 7. Let w be 57/(-95) - (-24)/(-10). What are the prime factors of y(w)?
83
Let u = -105 + 129. Let k = -27 + 19. Let j = u - k. List the prime factors of j.
2
Suppose 37 = -2*r + r. Let w = -62 - r. Let x = w + 54. List the prime factors of x.
29
Suppose -3*z + 312 = -z + 2*g, -5*z = -2*g - 745. What are the prime factors of z?
151
Suppose -2045 = -r - 4*w, -2351 = -3*r + 2*w + 3770. What are the prime factors of r?
13, 157
Suppose 3*q - 5*f - 383 = -q, 4*q - 393 = -5*f. Suppose t - 145 = -3*a, t - 44 - q = -a. List the prime factors of t.
139
Let k = 1927 - 1314. What are the prime factors of k?
613
Let r(y) = -y + 21. Let c be r(19). Suppose 0 = -h + p + 1, h + 2*p - 2 = c*h. Suppose -h*g + 0*s = -3*s - 134, 4*g = 4*s + 132. List the prime factors of g.
5, 7
Suppose 24 = 5*u - 6. Let g be 65/3*(0 - u). Let o = g - -185. What are the prime factors of o?
5, 11
Suppose -4*v - 9*g = -8*g - 1773, 3*g = -2*v + 899. What are the prime factors of v?
2, 13, 17
List the prime factors of (13652/14)/((-22)/(-77)).
3413
Let x(k) = 12*k - 9. Let f be x(2). Suppose 6*h = 4*i + 3*h - 22, -6 = -i + h. Suppose -f = -i*p + p. List the prime factors of p.
5
Let l = 4 + 6. What are the prime factors of 4/(-3)*(-165)/l?
2, 11
What are the prime factors of 453/2*((-161)/(-21) + 3)?
2, 151
Let q be 62 + ((-8)/2)/(-4). Suppose 56*a + 1358 = q*a. List the prime factors of a.
2, 97
Suppose -2 = z, -25*z + 29*z + 2360 = 4*d. List the prime factors of d.
2, 3, 7
Suppose 2*g - 5*j = 2164, 0 = 2*g + 2*j - 1340 - 824. List the prime factors of g.
2, 541
Suppose 5 - 3 = -2*t. Let m(j) = -10*j - 1 + 8*j - 52*j. What are the prime factors of m(t)?
53
Let n(b) = -14*b**2 + 4*b + 3. Let q be n(-1). What are the prime factors of ((-4)/q)/((-4)/(-876))*5?
2, 73
Let f(q) = 6*q**2 - 31*q + 559. What are the prime factors of f(27)?
2
Suppose 120*x = 124*x - 5060. List the prime factors of x.
5, 11, 23
Suppose -4*p - 16 = -5*q, 5*q + 1 = -3*p + 24. Suppose 5*y + 3*i = 263, -4*y - q*i - 204 = -8*y. List the prime factors of y.
2, 13
Let d = 86 - -3552. List the prime factors of d.
2, 17, 107
Suppose -4*s + 26 = 2*c, -s = -2*c + 3*s - 14. Suppose 0 = -2*j - 2*p + 230, -2*j + 228 = p + c*p. List the prime factors of j.
2, 29
Let g = 485 - -541. List the prime factors of g.
2, 3, 19
Let q be 20/6*6/(-2). Let z be 338/18 + q/(-45). Let m = 3 + z. List the prime factors of m.
2, 11
Let k(f) = f**2 - 8*f - 9. Let u be k(9). Suppose u = -0*y - y + 9. What are the prime factors of y?
3
Let p(d) = -d**3 - d + 9. Suppose -3*x + 4*f = -2 - 2, 0 = -3*x - 2*f - 2. What are the prime factors of p(x)?
3
Let n = 107 - 119. List the prime factors of n/(-54) + 142/9.
2
Let v = 310 + -133. Suppose 63 + v = l. What are the prime factors of l?
2, 3, 5
Let w(z) be the first derivative of -z**2/2 - 3*z - 4. Let x be w(-7). Suppose 0*d = 4*f - 5*d - 33, -31 = -5*f - x*d. What are the prime factors of f?
7
Suppose -j = -5*r - 526, -r - 4*j - 103 = -2*j. Let m = -36 - r. List the prime factors of m.
3, 23
Let w(t) = -17*t**3 + 7*t**2 + 4*t - 2. Let l(b) = 9*b**3 - 4*b**2 - 2*b + 1. Let s(a) = -5*l(a) - 3*w(a). Let p = -185 - -187. List the prime factors of s(p).
41
Let b(g) = g**2 - 2*g - 16. Suppose y + 4*a = 4, 0 = -4*y + 3*y - 5*a + 2. What are the prime factors of b(y)?
2, 13
Suppose -t - 56 = 13*t. What are the prime factors of (-1)/t - (1 - (-1590)/(-8))?
2, 3, 11
Let o(b) be the third derivative of b**5/30 - b**4/
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the c'th term of -825, -1446, -2263, -3276, -4485, -5890?
-98*c**2 - 327*c - 400
What is the y'th term of -163403, -323916, -484429, -644942?
-160513*y - 2890
What is the q'th term of -11834, -48333, -109164, -194327, -303822?
-12166*q**2 - q + 333
What is the j'th term of -38778, -38776, -38764, -38736, -38686, -38608, -38496, -38344?
j**3 - j**2 - 2*j - 38776
What is the q'th term of -49461, -98876, -148297, -197724, -247157, -296596?
-3*q**2 - 49406*q - 52
What is the u'th term of 412852, 825666, 1238480, 1651294, 2064108, 2476922?
412814*u + 38
What is the d'th term of -232430, -929791, -2092058, -3719231?
-232453*d**2 - 2*d + 25
What is the u'th term of 6358, 53283, 181086, 430207, 841086, 1454163, 2309878, 3448671?
6740*u**3 - u**2 - 252*u - 129
What is the n'th term of 5926, 11887, 17898, 23971, 30118?
2*n**3 + 13*n**2 + 5908*n + 3
What is the h'th term of 20011391, 20011390, 20011389, 20011388?
-h + 20011392
What is the t'th term of 1214, 9525, 32064, 75947, 148290, 256209, 406820?
1186*t**3 - 2*t**2 + 15*t + 15
What is the f'th term of -850201, -850204, -850207, -850210?
-3*f - 850198
What is the l'th term of -10116422, -10116417, -10116412, -10116407?
5*l - 10116427
What is the v'th term of -53742602, -107485204, -161227806?
-53742602*v
What is the d'th term of -468758, -938434, -1408110, -1877786, -2347462, -2817138?
-469676*d + 918
What is the s'th term of 3731305, 7462775, 11194247, 14925721, 18657197?
s**2 + 3731467*s - 163
What is the c'th term of 2184, 37, -5792, -17145, -35864?
-307*c**3 + c**2 - c + 2491
What is the u'th term of 50580692, 50580697, 50580702, 50580707, 50580712, 50580717?
5*u + 50580687
What is the h'th term of -17231, -138258, -466763, -1106486, -2161167, -3734546, -5930363?
-17290*h**3 + h**2 + 58
What is the s'th term of 357480, 357376, 357196, 356934, 356584, 356140?
-s**3 - 32*s**2 - s + 357514
What is the y'th term of -3391, -3625, -4015, -4561, -5263, -6121, -7135?
-78*y**2 - 3313
What is the a'th term of 541370, 1082887, 1624404, 2165921, 2707438?
541517*a - 147
What is the r'th term of -400, -658, -1106, -1840, -2956, -4550, -6718, -9556?
-16*r**3 + r**2 - 149*r - 236
What is the r'th term of 65888, 65918, 65946, 65966, 65972?
-r**3 + 5*r**2 + 22*r + 65862
What is the l'th term of -54077, -56432, -60363, -65876, -72977?
-l**3 - 782*l**2 - 2*l - 53292
What is the z'th term of 37285, 37428, 37829, 38620, 39933, 41900, 44653, 48324?
22*z**3 - 3*z**2 - 2*z + 37268
What is the p'th term of 21757, 44140, 66523, 88906?
22383*p - 626
What is the v'th term of -154, -1369, -4698, -11197, -21922?
-176*v**3 - v**2 + 20*v + 3
What is the r'th term of 8389, 9270, 10151?
881*r + 7508
What is the j'th term of 87, 97, 107, 117, 127, 137?
10*j + 77
What is the p'th term of -515, -332, 1247, 4924, 11401?
117*p**3 - 4*p**2 - 624*p - 4
What is the l'th term of 916851, 1833721, 2750605, 3667509, 4584439?
l**3 + l**2 + 916860*l - 11
What is the h'th term of 49497, 49175, 48863, 48567, 48293, 48047, 47835, 47663?
h**3 - h**2 - 326*h + 49823
What is the m'th term of -1043, -7059, -23399, -55229, -107715, -186023, -295319, -440769?
-861*m**3 + 4*m**2 - m - 185
What is the r'th term of -150890, -149700, -148510, -147320, -146130?
1190*r - 152080
What is the j'th term of 859, 3910, 11343, 25348, 48115, 81834, 128695?
365*j**3 + j**2 + 493*j
What is the j'th term of 1510007, 1510049, 1510091, 1510133, 1510175?
42*j + 1509965
What is the a'th term of -55573, -111411, -167249, -223087, -278925, -334763?
-55838*a + 265
What is the k'th term of -842, 1193, 3228, 5263, 7298?
2035*k - 2877
What is the k'th term of -1530, -12883, -43704, -103731, -202702, -350355, -556428?
-1623*k**3 + 4*k**2 - 4*k + 93
What is the k'th term of -5401, -10907, -16509, -22201, -27977, -33831, -39757?
k**3 - 54*k**2 - 5351*k + 3
What is the p'th term of 85968888, 85968885, 85968882?
-3*p + 85968891
What is the i'th term of 19086, 17747, 15510, 12375, 8342?
-449*i**2 + 8*i + 19527
What is the f'th term of -612676, -612713, -612750, -612787?
-37*f - 612639
What is the t'th term of -59509, -119603, -179695, -239785?
t**2 - 60097*t + 587
What is the n'th term of -3980, -32159, -108602, -257441, -502808?
-4022*n**3 - 25*n + 67
What is the q'th term of 12186952, 12186963, 12186974?
11*q + 12186941
What is the c'th term of -10458, -10422, -10338, -10206, -10026, -9798, -9522?
24*c**2 - 36*c - 10446
What is the a'th term of -4666, -3939, -3216, -2497?
-2*a**2 + 733*a - 5397
What is the v'th term of 209778, 209912, 210046, 210180, 210314?
134*v + 209644
What is the d'th term of -28231, -28089, -27947, -27805, -27663?
142*d - 28373
What is the a'th term of -12309125, -12309119, -12309113?
6*a - 12309131
What is the n'th term of 5983, 5671, 4939, 3613, 1519, -1517, -5669, -11111?
-29*n**3 - 36*n**2 - n + 6049
What is the c'th term of -12714, -50720, -114018, -202608, -316490, -455664?
-12646*c**2 - 68*c
What is the z'th term of 35812, 35891, 35970?
79*z + 35733
What is the r'th term of -1945, -1435, -51, 2645, 7091, 13725, 22985?
73*r**3 - r**2 + 2*r - 2019
What is the o'th term of 14354970, 14354961, 14354946, 14354925, 14354898?
-3*o**2 + 14354973
What is the r'th term of -112843, -112794, -112743, -112690, -112635?
r**2 + 46*r - 112890
What is the k'th term of -2675, 1879, 6427, 10969, 15505?
-3*k**2 + 4563*k - 7235
What is the b'th term of -1647047, -3294108, -4941169, -6588230?
-1647061*b + 14
What is the q'th term of -259, -3320, -8421, -15562?
-1020*q**2 - q + 762
What is the s'th term of 1456666725, 1456666726, 1456666727, 1456666728?
s + 1456666724
What is the g'th term of -1930687, -7722729, -17376123, -30890869, -48266967, -69504417, -94603219?
-1930676*g**2 - 14*g + 3
What is the n'th term of -4185, -6470, -12801, -25200, -45689, -76290, -119025, -175916?
-337*n**3 - n**2 + 77*n - 3924
What is the g'th term of 2068, 8731, 19992, 35845, 56284, 81303, 110896?
-g**3 + 2305*g**2 - 245*g + 9
What is the g'th term of 55933, 111860, 167709, 223474, 279149, 334728?
-g**3 - 33*g**2 + 56033*g - 66
What is the w'th term of -822, -3691, -8448, -15093, -23626?
-944*w**2 - 37*w + 159
What is the b'th term of 101, -6564, -19997, -40198?
-3384*b**2 + 3487*b - 2
What is the z'th term of 191027, 391392, 591759, 792128, 992499, 1192872, 1393247?
z**2 + 200362*z - 9336
What is the g'th term of 87468, 174845, 262212, 349563, 436892, 524193?
-g**3 + g**2 + 87381*g + 87
What is the z'th term of 2524, 2311, 2074, 1813, 1528, 1219?
-12*z**2 - 177*z + 2713
What is the i'th term of 152830716, 305661434, 458492152, 611322870, 764153588, 916984306?
152830718*i - 2
What is the o'th term of -34894, -29788, -24682, -19576, -14470?
5106*o - 40000
What is the a'th term of -25774, -25657, -25514, -25351, -25174, -24989?
-a**3 + 19*a**2 + 67*a - 25859
What is the s'th term of -22260, -89057, -200406, -356325, -556832, -801945, -1091682?
-3*s**3 - 22258*s**2 - 2*s + 3
What is the i'th term of 8953, 8834, 8737, 8662, 8609, 8578, 8569?
11*i**2 - 152*i + 9094
What is the w'th term of 748, 987, 424, -1343, -4716, -10097?
-67*w**3 + w**2 + 705*w + 109
What is the l'th term of 10992, 20566, 30140, 39714, 49288, 58862?
9574*l + 1418
What is the v'th term of -5943, -11195, -16435, -21657, -26855, -32023, -37155?
v**3 - 5259*v - 685
What is the w'th term of -33884, -33531, -32942, -32117, -31056, -29759, -28226?
118*w**2 - w - 34001
What is the d'th term of -10227, -9606, -8985, -8364, -7743?
621*d - 10848
What is the a'th term of 1011412, 1011461, 1011518, 1011583, 1011656, 1011737?
4*a**2 + 37*a + 1011371
What is the b'th term of 4051768, 4051772, 4051778, 4051786, 4051796?
b**2 + b + 4051766
What is the m'th term of 16087, 16748, 17409?
661*m + 15426
What is the h'th term of -194390, -191420, -188450, -185480?
2970*h - 197360
What is the i'th term of -2271325, -4542744, -6814163, -9085582?
-2271419*i + 94
What is the l'th term of -52, -665, -2276, -5383, -10484, -18077, -28660?
-83*l**3 - l**2 - 29*l + 61
What is the x'th term of 1225, 4946, 11131, 19780, 30893?
1232*x**2 + 25*x - 32
What is the b'th term of -2612, -5156, -7704, -10256?
-2*b**2 - 2538*b - 72
What is the r'th term of 834836, 1669636, 2504436?
834800*r + 36
What is the b'th term of 20136, 80863, 182086, 323811, 506044, 72
|
{
"pile_set_name": "DM Mathematics"
}
|
+ -31. What is the closest to 0 in q, 1, -4?
1
Let f = -59/44 + 12/11. Let s = 48 + -52.06. Let g = s - -0.06. Which is the nearest to -2/7? (a) f (b) g (c) 2
a
Let k = 62 - 58. What is the nearest to -0.2 in 3, k, 1/2?
1/2
Let w = -2 - -6. Let t = -4 + w. What is the closest to 1 in -1/4, -2, t?
t
Let y = 1.9 - 2. Let t = 48 + -128. Let r = t + 479/6. Which is the closest to y? (a) -5 (b) r (c) 2
b
Let v = 0.11 - -4.89. Let k = 10 + -9. Let q = 0.2 - 0.1. What is the nearest to q in k, v, 1/5?
1/5
Let p = -18 + 13. Let s = 10 + -7.6. Let z = s - 2.1. Which is the closest to 1? (a) z (b) 2/9 (c) p
a
Suppose 10 = 6*l - 56. Let r(d) = 5 + 1 + 0 - d. Let z be r(l). Which is the closest to -1? (a) 0 (b) z (c) 0.2
a
Let m = 6 - 5.94. Let k = 0.86 + -0.8. Let l = k - m. Which is the closest to -2/7? (a) -3/8 (b) -1/4 (c) l
b
Let t = 4.093 + 0.007. Let l = t + -4. Let y = 0.5 - l. What is the closest to -1 in y, 0.1, 3?
0.1
Let r = 0 + -0.5. Let k = 272/5 + -54. Which is the closest to k? (a) 5 (b) 0.5 (c) r
b
Let v = -29 - -28. Let p = 4 - 3.8. Which is the nearest to 2/9? (a) v (b) -4 (c) p
c
Let w = 6 + 12. Let d = w + -16. What is the nearest to 0 in -0.5, d, -0.4?
-0.4
Let k = 0.159 - 3.159. Let g = -29/4 + 7. Which is the closest to -0.1? (a) 5 (b) k (c) g
c
Let t = -104/7 + 15. What is the nearest to -0.2 in -5, 1/5, t?
t
Let m = -49.7 + 50. Let s be (1/(-3))/(4/16). Which is the nearest to 0.1? (a) m (b) s (c) -1
a
Let n = 3.9 + 0.1. Let y = 25/69 - 2/69. What is the nearest to 1 in n, y, 5?
y
Let g = -157 + 151. Which is the closest to g? (a) -0.2 (b) 0.1 (c) 0.3
a
Let s = 0.2 + -0.4. Let r = -32 + 32. Let m = -12 - -7. Which is the closest to r? (a) s (b) -0.1 (c) m
b
Let w(z) = z**3 + 9*z**2 + 7*z - 5. Let n be w(-8). Suppose -n*i = i. Let l = 0.3 + 0.2. What is the nearest to -1 in 3, i, l?
i
Suppose -1 - 9 = -5*t. Let y be (-15)/(-10) - t/1. Let q = 0.05 - 2.05. What is the closest to y in 4, q, 2?
q
Suppose 0 = 2*k - 6*k. Suppose -2*t = -w - w + 4, k = -4*w - t + 3. Let o = -0.6 - -0.1. Which is the nearest to -1? (a) o (b) w (c) 2/5
a
Let y = 15.4 + -14. Let z = y - 1. Which is the nearest to -0.3? (a) z (b) -0.4 (c) 4
b
Let n = 20 + -41/2. Let x = 75 - 75. Let k = -2 + 3. What is the nearest to 1 in n, k, x?
k
Let i = 2 - 3. Let k = i - -2. Let p be (-6)/(-5)*40/12. Which is the nearest to -2? (a) k (b) p (c) 2
a
Let o = 581/26 - 45/2. Let p = -0.9 - 0.05. Let s = p + -0.05. Which is the closest to s? (a) o (b) -2 (c) 2/3
a
Let n(v) = -2*v + 4. Let o be 2/(2 - 1)*2. Let g be n(o). Let p be 5 + 1 + 3 + g. Which is the nearest to 1? (a) p (b) 2 (c) 4/7
c
Let l be (-1 - 0) + 12/16. What is the nearest to 1 in -4, l, -0.1?
-0.1
Let i = -1.59 + 0.49. What is the nearest to 1/2 in 0.3, 0.1, i?
0.3
Let f = -2.9 - -2.9. Which is the nearest to f? (a) 0.3 (b) 2 (c) 0.2
c
Let g = -6.8 - 1.3. Let p = -8 - g. Which is the closest to p? (a) -2/9 (b) 0.5 (c) -3
a
Suppose 15*z - 16 = 19*z. What is the nearest to 1 in 2/19, z, 0.5?
0.5
Let b be (-10)/25 + 8/10. Let i = 1010 - 1005.09. Let d = i - -0.09. What is the nearest to b in -0.4, d, -1?
-0.4
Let f = -2.4 - -2. Suppose 0 = -0*d + 3*d. What is the closest to d in f, 0, 1/3?
0
Let v = 90 + -88. Which is the closest to 0.3? (a) -0.5 (b) v (c) 0.1
c
Let j = 0.64 + -1.14. Let u = -4 - -3.9. What is the nearest to u in -0.2, 5, j?
-0.2
Suppose -l - 3 + 4 = 0. Let g = -2 + 3. What is the closest to g in -0.5, 0.4, l?
l
Suppose 4*z - 16 = 2*h, 6*h = -z + 2*h - 14. Let k be (-2)/4 + 3/z. Let q = 106 + -317/3. Which is the closest to q? (a) k (b) 0.1 (c) 3
b
Let y = -1 + -3. Let o = -5 - y. What is the nearest to -0.1 in o, -0.2, 1?
-0.2
Let w = 0.2 + -8.2. Let y = w + 11. Let m = y - 0. Which is the closest to -0.1? (a) 4 (b) 2 (c) m
b
Let y = -242 + 241. Let w = 78 - 153/2. What is the closest to y in w, -1, 1?
-1
Suppose -2*o = l - 10, -2*o + 6*o = 5*l - 8. Suppose 3*q - o + 9 = 0. Let b = 0.1 - -0.2. What is the closest to 2/7 in q, 3, b?
b
Let x = -264 - -273.13. Let y = 0.13 - x. Which is the nearest to -1/2? (a) y (b) -1 (c) -2
b
Let k = -0.12 - -6.12. Which is the nearest to 1? (a) k (b) -2/7 (c) 0.05
c
Let r be ((-12)/(-75))/((-6)/(-15)). Let t(v) = v**2 - 10*v - 5. Let w be t(10). What is the nearest to r in w, -4, 1/3?
1/3
Let i = 17 + -12. Let x = 9 - i. Let r(t) = -t**3 - 3*t**2 - 3*t - 2. Let u be r(-2). Which is the closest to u? (a) 0 (b) 2/3 (c) x
a
Let f be (2/(-33))/((-10)/30). Which is the closest to -1? (a) 1 (b) f (c) 0.5
b
Let y = 0.72 + -1.11. Let r = y - 0.11. Let k = 135/4 - 34. Which is the nearest to 0? (a) -5 (b) r (c) k
c
Let v be -5*((-12)/15)/(-2). Let c be (-16)/10 - (v + 4). Let u = c - -116/35. What is the closest to 0.1 in -3, u, -1?
u
Suppose 2*r + 10 + 4 = 0. Let s = -7 - r. Suppose v = 5*m - 13, -3*m + 27 - 6 = -5*v. Which is the nearest to 0? (a) v (b) 1 (c) s
c
Let r(g) = -g**2 - g + 9. Let t be r(0). Let k = 19 - t. Let y be (-1)/k*(-15)/6. What is the closest to y in -3, -5, 3?
3
Let o = -6 + 7. Let f = -4.9 - 0.1. Let q = -22 + 21.7. Which is the closest to -2/5? (a) f (b) o (c) q
c
Let o(v) = -v**3 + 4*v**2 + 7*v - 6. Let j be o(5). Let h = -8.7 + 13. Let t = h - -0.7. What is the nearest to 0 in j, t, 1/6?
1/6
Let s = 175 + -170. Which is the closest to -2/9? (a) s (b) 3 (c) -0.1
c
Let g = 1186/9 + -132. Which is the closest to g? (a) -4 (b) -2 (c) -0.5
c
Let x = 152/3 + -50. Let j = 2.3 + -0.3. What is the closest to 1 in j, -0.2, x?
x
Let i = 10 - 15. Which is the closest to 0.1? (a) i (b) -4 (c) 0.1
c
Suppose 4*i + 3*t = -17, -i + 3*t - 4 - 4 = 0. Let l be 1/i + 6/(-30). Which is the closest to l? (a) 3 (b) 1.6 (c) 2
b
Suppose 0 = 2*k - 4*l - 6, 4*k - 19 = -3*l + 37. Let v = k - 23/2. Let h be 0/((-4 + 3)*(-2 + 1)). Which is the closest to -1? (a) 0.2 (b) v (c) h
b
Let q(d) = -d**3 - 4*d**2 - 4*d - 2. Let p be q(-3). Suppose 5*t + 99 = -81. Let u be 3 - p - t/(-14). What is the nearest to -1/3 in u, -0.2, 0.4?
-0.2
Let i be 8/(-20)*5/6*-4. What is the nearest to 0 in 1, i, 4/9?
4/9
Suppose 7*w = 3*w. Let k = -13/48 + -1/16. What is the nearest to k in w, 3/2, -5?
w
Suppose -5*y + 25 = 5*g, g + 0*y - 2 = -2*y. Suppose 3*h - 25 = g*h. Let d = -0.9 - -0.4. What is the nearest to 0 in d, -0.3, h?
-0.3
Let j = -5.07 + 0.07. Let r be -5 - (-1 + -1) - 1740/(-600). What is the nearest to 2/3 in r, -0.2, j?
r
Let u be (-18)/(-14) - 4/14. Let w be (12/9)/2*u. Let g be 2/(-3) + 1/3. Which is the closest to 0.1? (a) g (b) w (c) 4
a
Let n = 174.8 + -175. Let t = -0.1 - 0. What is the nearest to 3 in n, -1, t?
t
Let g = 5.6 + -6.6. What is the nearest to 2/7 in -0.5, -3/5, g?
-0.5
Let i = 3 + -2.7. Let k = 0.73 + -0.8. Let x = -2.07 - k. What is the nearest to x in 3, i, 1/6?
1/6
Let o = -1323/1052 - -2/263. Let v(m) = -m**2 - 8*m - 3. Let h be v(-6). Let d = 4 - h. What is the nearest to -1 in d, o, 1/5?
o
Let i = -9 + 15. Let f = 99 + -102. What is the nearest to i in -2, f, -0.4?
-0.4
Let y be 1 + ((-2)/(-1) - 4 - -3). Which is the closest to 0? (a) 5 (b) 0.2 (c) y
b
Let q(z) = -z**3 - 9*z**2 - 9*z - 6. Let l be q(-8). Let m = 1/32 - 9/32. Which is the nearest to l? (a) -0.1 (b) -0.2 (c) m
a
Suppose -2*w - 7 = -k - 0, -5*w + 4*k = 25. What is the closest to 0.1 in w, 14, 4?
w
Let t be (-30)/3*2/4. Which is the nearest to 0? (a) 1/3 (b) t (c) -1
a
Let u = -0.7 - -0.3. Let s = 3/4 - 17/12. What is the nearest to s in u, -1, 1?
u
Suppose -81 = -i - 82. Which is the nearest to i? (a) -14/9 (b) 3/2 (c) -0.3
a
Let q = 4.8 - 4.4. Which is the nearest to -1? (a) -7 (b) q (c) -5
b
Suppose 4*y + l + 8 = -1, -2*y - 2*l = 6. Let v(c) = -2*c**3 - 1 + c - 1 + 0*c**3 + c**3 - c**2. Let m be v(y). What is the closest to m in -4, 0.3, -5/3?
0.3
Let h = 12 + -11. What is the closest to -0.3 in h, 1/3, 5?
1/3
Let i = -11 - -8. What is the closest to 2 in 5, i, -0.2?
-0.2
Let s = 4.5 + -4. Suppose -3*a + 15 = 2*a. What is the nearest to -2/7 in s, a, 5?
s
Let k = 1.4 - 2.4. Which is the nearest to k? (a) 1/3 (b) 5 (c) -3/8
c
Let s = -19 - -18.6. Which is the closest to 0? (a) 2/13 (b) s (c) 2/9
a
Suppose -4*g + 2*z + 46 = 0, -3*g = g - z - 41. Let n(u) = -u**2
|
{
"pile_set_name": "DM Mathematics"
}
|
)/(-108). Is k at least 12?
False
Let t be ((-1)/4)/((-1)/72). Are t and -15 equal?
False
Suppose -p - 3 = 3*q, -p + 13 + 2 = -3*q. Let c = p + 17. Suppose 5*o - 3*a + a = -41, -5*o = 4*a + c. Are -7 and o equal?
True
Let l be (-15)/(-100)*4 + 3/(-45). Which is smaller: l or -0.7?
-0.7
Let s be ((-87)/(-9) + -1)/(8/(-18)). Is 0.2 <= s?
False
Suppose 2*v - 168 = -38. Suppose -5*g = -s - 3*g + 13, 0 = -5*s - 5*g + v. Is 15 > s?
True
Suppose -4*q + 2*x = 26, 4*q + 3*x - 14 = 5*q. Which is smaller: -29 or q?
-29
Let n = 1.6 - -17.4. Let a = -15 + n. Which is greater: -1 or a?
a
Let f = -0.52 - -0.485. Let y = 0.225 + f. Which is greater: -1 or y?
y
Let j be (46/10 + -3)*(-350)/(-4). Let q be (((-88)/j)/(-11))/(2/30). Does q = -0.1?
False
Suppose 6*b = 145 - 19. Is b greater than 21?
False
Let x be (78/(-9) - -2)*(-6)/4. Let d be (-8)/(-65)*(-3)/12*x. Is 1 not equal to d?
True
Suppose 0 = -o - s - 21, 4*o + 52 = 3*s - 67. Let y be (1/(-5))/(o/(-65)). Are -1 and y non-equal?
True
Suppose 0 = q - 7*q - 36. Let p be q/4*3/(27/(-78)). Suppose -60 = -5*v - 4*d, -v - 3*d = -7 - 5. Does p = v?
False
Let m(g) = -g - 2. Let v be m(-7). Suppose 10*p = 5*p - v. Let n be p/(-2)*(-24)/90. Which is smaller: 0 or n?
n
Suppose -4 = -0*r + 4*r. Which is smaller: -7/18 or r?
r
Let o = -39.1 - -36. Let b = o - -2.9. Which is smaller: b or -3?
-3
Let i(v) = -2*v**2 - 16*v - 4. Let p be i(5). Let g = -134 - p. Which is smaller: 1/70 or g?
g
Suppose -4*x + 16 + 124 = 3*t, 94 = 3*x + 5*t. Suppose 2*r - 3*g = 19 + 3, -g = 2*r - x. Is r at most as big as 17?
True
Suppose 2*z + 8 = 26. Let w be z + 5 + (0 - 2). Let i = -13 + w. Which is smaller: i or 2?
i
Let q be 4/(-18) + (-50)/18. Suppose x - c - 16 = 0, 41 = 2*x - 0*x - 5*c. Are x and q non-equal?
True
Let x(z) = -z**3 + 12*z**2 - 39*z + 16. Let n be x(5). Let h = 32 - 23. Do h and n have the same value?
False
Let x = -4389781275449/855 + 5134247700. Let z = -2971/5 + x. Which is bigger: z or 0?
z
Suppose -s + 0 = 1, 0 = j + 3*s - 7. Let p be (-20)/j + 14876/8694. Let h = p - -2/621. Which is smaller: h or -1?
-1
Let m(r) = -r - 7. Let u be m(-10). Suppose 21 = -u*h + j, 1 + 2 = j. Let k be 0/(3/h*6). Is k at least 0?
True
Let r = -6.9327 - 0.0673. Is 5 equal to r?
False
Suppose -p = 5*w - 25, -3*w = 4*p - 194 + 9. Which is bigger: p or 3?
p
Let o(q) = 9*q - 3. Let m(s) = 5*s - 2. Let h(n) = 10*m(n) - 6*o(n). Let d be h(10). Let w be (4/6)/((-28)/d). Is -12 smaller than w?
True
Let p(q) = 32*q**2 + 3 + 49*q**2 - 104*q**2 + 0 + 3*q. Let c be p(-1). Which is greater: -21 or c?
-21
Let l be 0/(-12) - (-3)/(1 - 403). Is l != 0?
True
Let g = 33.989 + 0.411. Let n = g + -21.5. Let i = n - 14. Which is greater: 0 or i?
0
Suppose -9*v - 51 = -8*v. Let o = v - -17. Are o and -35 unequal?
True
Let m(l) be the third derivative of -l**5/60 + l**4/24 + 11*l**3/6 + l**2. Let s be m(0). Let t = 0.648 + 1.352. Do t and s have different values?
True
Let l be 41/(-6) - (2 - -17)/114. Do 3/16 and l have different values?
True
Let d be (-4 - -5)*(0 - 1). Let h = 787/21 - 260/7. Which is smaller: h or d?
d
Suppose -d + 3*d + 46 = 0. Let t = -957 - -981. Let q = d + t. Which is greater: 2/31 or q?
q
Let f(u) = 13 - 2*u + 3 - 7. Let d be f(0). Which is bigger: 8 or d?
d
Let y = -111.09 + 111.09. Let w = 4.3 - 5. Is w at most as big as y?
True
Let x(u) = -u**2 - 13*u - 42. Let n be x(-7). Is n at most -3/196?
False
Let b be -5 + 10 + -14 + 11. Which is smaller: b or 63/25?
b
Let k be 1/7 + 109496681/(-1176). Let n = k - -93110. Let m = n - 5/8. Is m < 1?
True
Let l = 1019.3 - 1019. Is 1.3 bigger than l?
True
Suppose 18*k = 184 - 202. Are 4/53 and k unequal?
True
Suppose 659 + 4261 = -6*q. Which is bigger: 0.1 or q?
0.1
Let n(y) = 142 + y + 2*y - 145 + y**3 + 5*y**2. Let s be n(-3). Suppose 0 = 4*p + 2*q - 4, p + s = 4*q - q. Which is smaller: 1/26 or p?
p
Let s = -1/536 + 4829/2680. Let c = -11/9 - -8/9. Which is greater: s or c?
s
Let p be (6/(-4))/(8/((-6656)/39)). Which is bigger: 290/9 or p?
290/9
Suppose -1012*i = -1008*i. Which is bigger: -3/746 or i?
i
Let c = 32/11 + -59/22. Which is bigger: c or 2/7?
2/7
Let g = 14857 + -14853. Let j be (2/27)/(1/42). Is g bigger than j?
True
Let p = -20792 - -25802870/1241. Which is smaller: -1 or p?
-1
Let q be (5614/21 - -2) + 0. Is 268 not equal to q?
True
Let w be (-28)/(-98) - 2/7. Suppose -2*t = 2*t - 4*c, w = -5*t + 3*c. Are -4/5 and t equal?
False
Let d = 57/53 + -680/583. Let r(y) = -y**2 - 3*y + 3. Let v(l) = 2*l + 2. Let f be v(-3). Let p be r(f). Which is bigger: p or d?
d
Let k be (10/4)/(24/(-48)). Let w = 1 + -11. Let c be (-2 + 1)/((-2)/w). Is k less than c?
False
Let w be (0 + (-96)/(-38))*9/(-12). Is -2 at most w?
True
Let j(v) = -2*v**2 + v - 129. Let m be j(0). Let b be (m/135 - -1)/(1/5). Is 14 greater than b?
True
Suppose 0 = 11*n - 5*n - 18. Suppose 3*w + n*c = 3, 0 = 2*w - w - 3*c + 7. Which is bigger: w or -3/37?
-3/37
Let i(p) = 2*p**2 - 13*p + 11. Let f be i(1). Is -216 at least f?
False
Let u be 10*(-1 - (-10)/4). Suppose -j - 3*j - 3*n + 62 = 0, -72 = -5*j - n. Is u equal to j?
False
Let a be -4 + ((-10)/(-75) - -4). Let h be 1/2*2/1. Is a greater than h?
False
Let q be 2/(-6) + 40/(-6). Let u be 15/(-6) - 6/(-3). Do q and u have the same value?
False
Let a be (-126)/10 + 12/20. Let d be (-2)/(a/(-7)) - 0. Suppose 4*z + 3*w - 15 = 0, 50*w = 2*z + 49*w + 5. Which is smaller: d or z?
d
Let w = -338 - -335. Is -2/13 at least w?
True
Let t = 985 + -1473. Let i be ((-3)/4 + 0)/(183/t). Which is greater: i or 7/5?
i
Let c = -24.995 - 0.005. Is -4 > c?
True
Let z = 731 - 524. Which is smaller: 0 or z?
0
Let s(u) = 7*u**2 + 91*u + 43. Let z be s(-14). Do z and 144 have different values?
True
Let y = -317 + 307. Which is smaller: -8 or y?
y
Let m = 9 + -6. Let i = m + -0.8. Let q = i - -0.8. Is -1 < q?
True
Let s be 7/35 - 87/(-15). Suppose s*y - a = 3*y + 11, 2*y + 16 = -4*a. Let l be (5/(-2))/(15/(-5)). Which is smaller: l or y?
l
Let x be 45/25*(-10)/(-3). Suppose 0 = -3*p + b - x*b - 2, 0 = -p - b. Which is smaller: 1/11 or p?
1/11
Suppose 0 = -4*z - 5*u - 471217, 7*u - 589052 = 5*z + 3*u. Let g = z - -2001630/17. Let y = -65 - g. Are 0 and y nonequal?
True
Let b = -5.89 + 6. Let m = b + -2.11. Suppose 2*d = 3*d. Are m and d equal?
False
Let w = 63 - 63. Let o(v) = 2*v**3 - 6*v**2 - 6*v - 6. Let a be o(5). Suppose -14 + a = -2*t. Are t and w unequal?
True
Suppose 7*x + 30 = 4*x. Let t = x - -14. Suppose -t*q + q = -18. Which is smaller: 7 or q?
q
Let n(a) = a**3 + 2. Let l be n(0). Suppose -5*m = -2*i + 5*i - 13, i - 5 = -l*m. Suppose 3*r + 28 = 7*r - 2*q, -4*q - 8 = -m*r. Is 7 bigger than r?
False
Let f = -150.4 - 27.6. Let b = -196.2 - f. Let v = b - -18. Which is smaller: 2/9 or v?
v
Let f be 3 - (-2)/6*0/(-7). Is f greater than -162?
True
Suppose 3*k - 2*u + 4 = -3, -3*k - 13 = 4*u. Does k = 26?
False
Let x = 3607/9 - 401. Is x > 1/45?
False
Let g = 2038 + -2037. Is g smaller than -5/97?
False
Suppose 5*t - 3*h = -4*h - 43, -5*t = -5*h + 55. Let d(m) = -8*m**2 + 38*m + 13. Let j be d(5). Is j <= t?
False
Suppose -4*c + 2*t - 148 = 4*t, 2 = -t. Which is smaller: c or -34?
c
Let c = 775588667/431202 + -1/143734. Let u = -1783 + c. Which is greater: u or 16?
16
Let t(h) = 5*h - 3. Let p be t(-3). Let s be (2 - p)*(-2)/(-5). Let m = s + -7. Do 2 and m have the same value?
False
Suppose 2*x = -15 - 47. Is -97/3 at least x?
False
Let k = -7/2551 + -706571/20408. Which is smaller: k or -34?
k
Suppose 40*d = -4586 + 26. Which is smaller: d or -113?
d
Let k(o) = o + 4. Let w be k(3). Suppose -50 = 5*l + 2*n, 2*n + w = -2*l - 19. Is l bigger than -11?
True
Suppose -24*d = -45*d + 105. Does d = -2/15?
False
Let s be 237/632*(-1 + (-1)/(-3)). Is s less than -292?
False
Let n be 196/4*(1 + 26/(-14)). Is -40 at most as big as n?
False
Let o be 854/6 + (-17)/51. Which is smaller: o or 143?
o
Let c = 70 - 77. Let m = 0 + 3. Let r = m - 9. Is c smaller than r?
True
Let r = 0.005 + 0.001. Let k = r - 6.006. Let u be (-2 - 0/(-2))/(-2). Which is bigger: k or u?
u
Let v = -98 + 104. Let m(n) = n**2 + 3*n - 1. Let t be m(-3). Let g be t - 3*9/(-24). Which is smaller: v or g?
g
Let b = 0.11 + 1.58. Which is bigger: b or -1?
b
Suppose 4*v - 5*m = 8 + 86, -55 = -3*v - 4*m. Let u(c) = 3*c**2
|
{
"pile_set_name": "DM Mathematics"
}
|
rd derivative of o(b) wrt b.
24*b
Suppose 0 = -6*g + 2*g + 24. Let n be 1 + 0 - (0 + -1). What is the third derivative of j**4 + 4*j**2 - j**n - g*j**2 wrt j?
24*j
Let x(j) = -2*j - 12. Let d be x(-8). Suppose 18 = 2*t + 5*q, -2*q = -t - d*q + 8. What is the third derivative of 5*k**5 - t*k**5 + k**5 + 2*k**2 wrt k?
120*k**2
Let r(d) be the first derivative of -4*d**6/3 - 7*d**2 - 9. What is the second derivative of r(c) wrt c?
-160*c**3
Suppose -d - d = -2*g - 16, -d + 2*g + 13 = 0. Find the first derivative of -x + d*x**4 + 5 + x - 5*x**4 wrt x.
-8*x**3
Suppose -5*g + 3 + 22 = 0. Let v(w) = -w**2 - 5*w + 3. Let b be v(-5). What is the second derivative of -4*z**5 + b*z + 0*z**5 + 0*z + z**g wrt z?
-60*z**3
Let a(w) be the third derivative of w**6/24 + 3*w**3/2 + 16*w**2. Differentiate a(y) wrt y.
15*y**2
Let s(z) be the third derivative of -3*z**9/56 - 2*z**5/5 - 40*z**2. Find the third derivative of s(o) wrt o.
-3240*o**3
Let i(y) be the third derivative of 0*y**3 - 1/12*y**4 + 1/120*y**6 - 2*y**2 + 0 + 0*y**5 + 0*y. What is the second derivative of i(s) wrt s?
6*s
Let v(l) = 3*l**3 - 17*l**2 - 5*l. Let m(i) = 8*i**3 - 42*i**2 - 12*i. Let k(t) = -5*m(t) + 12*v(t). What is the third derivative of k(p) wrt p?
-24
Let r be 4/(-6) - 9/((-81)/6). Let z(t) be the first derivative of 2/3*t**3 + 1 - t**2 + r*t. What is the second derivative of z(q) wrt q?
4
Let p = 14 + -17. Let k(i) = 3*i - 3. Let z(l) = -l**2 - 2*l + 3. Let t(c) = p*z(c) - 2*k(c). Differentiate t(v) wrt v.
6*v
What is the second derivative of 3*m**4 - 5*m**4 - 4*m**4 - 6*m + 14*m wrt m?
-72*m**2
Let d(f) = -5*f**4 + 11*f**3 - 11*f**2 - 11*f - 14. Let z(w) = -w**4 + 2*w**3 - 2*w**2 - 2*w - 3. Let t(j) = -4*d(j) + 22*z(j). Differentiate t(q) wrt q.
-8*q**3
Suppose -3*a = -5*d - 52, 21 = 4*a + 3*d - 0. What is the third derivative of b**2 + b - a*b**5 + 7*b**5 - b wrt b?
-120*b**2
What is the second derivative of 7*v - v**2 - 4*v**2 - 3*v**2 + 2*v**2 wrt v?
-12
Let q(t) be the third derivative of t**7/210 - t**5/120 - 2*t**3/3 - 4*t**2. Let j(u) be the first derivative of q(u). Find the second derivative of j(s) wrt s.
24*s
Suppose 3*t = -5*w + 2 - 1, -3*t - 5 = 2*w. Find the first derivative of -n**w - 2 + 5 - 2*n**2 wrt n.
-6*n
Suppose -3*u + 2*h + 7 = 0, h - 10 - 4 = -2*u. Suppose u*x = 5 + 15. Find the second derivative of -3*l**x + 2*l - l**5 + 3*l**4 wrt l.
-20*l**3
Let f(s) = s**3 + s + 1. Let v(d) = -d**3 + 3*d + 12. Let j(k) = -3*f(k) + v(k). What is the first derivative of j(y) wrt y?
-12*y**2
Let x(m) = m**2 - m. Let a(h) = 9*h**3 + 4*h**2 - 4*h + 1. Let o(b) = -a(b) + 4*x(b). What is the derivative of o(v) wrt v?
-27*v**2
Suppose z - 7 = a + 2, 0 = z + 5*a + 21. What is the second derivative of j**3 - 3*j**z - j**3 + 3*j + 0*j**3 wrt j?
-36*j**2
Let g(w) be the first derivative of -2*w**5/5 + 13*w + 33. What is the first derivative of g(z) wrt z?
-8*z**3
Let m(x) be the third derivative of 13*x**6/120 + 17*x**3/6 - 10*x**2. What is the derivative of m(r) wrt r?
39*r**2
Let o(t) be the first derivative of -3/2*t**2 - t + 1. Differentiate o(i) with respect to i.
-3
Let f be 21*6/9 + 1. Suppose 6*j - f = j. Differentiate j*n**4 - 5*n + 1 + 5*n with respect to n.
12*n**3
Let p(v) = -v**3 + 7*v**2. Let h be p(7). Let k(j) = h*j - j + 2*j. Let n(f) = 2*f + 2. Let r(m) = k(m) - n(m). What is the derivative of r(d) wrt d?
-1
Find the third derivative of -14*b**4 - 8 + 8 - 2*b**2 - 4*b**2 wrt b.
-336*b
Let k = 530/3 + -176. Let r(u) be the second derivative of 0*u**4 + 0*u**2 - u + 0 - k*u**3 + 1/10*u**5. What is the second derivative of r(g) wrt g?
12*g
Let d(h) = -5*h**2 - 6*h. Suppose -56 = 3*s + s. Let o(p) = 24*p**2 + 30*p. Let v(t) = s*d(t) - 3*o(t). Find the second derivative of v(x) wrt x.
-4
Let h(w) be the first derivative of -5*w**6/2 + 5*w**2 + 4. What is the second derivative of h(x) wrt x?
-300*x**3
Let k(v) be the first derivative of 8*v**5/5 + 2*v**3/3 + 4. What is the third derivative of k(c) wrt c?
192*c
Suppose -2*v = -0*v - 4. Find the second derivative of 2*b - 2*b**3 + 2 - v wrt b.
-12*b
Let i(b) = -b**2 + 3*b + 3. Let z be (-4)/(-6) + 14/6. Let l(j) = -3*j**2 + 8*j + 9. Let a(k) = z*l(k) - 8*i(k). Differentiate a(q) with respect to q.
-2*q
Let i(g) be the second derivative of g**6/15 + 17*g**2/2 - 7*g. What is the first derivative of i(s) wrt s?
8*s**3
Let a be (4/6)/(4/18). What is the third derivative of 3*i**3 - 14*i + 14*i - 5*i**a + 3*i**2 wrt i?
-12
Suppose 6*w = 4*w + 8. Find the second derivative of -w*n**2 + n - 11*n**2 + 10*n**2 wrt n.
-10
Let i be (-4)/6 + 40/15. Differentiate -l**i + 4*l - 4*l - 4 wrt l.
-2*l
What is the second derivative of -7 + 6 + 20*f - 16*f**5 + 1 wrt f?
-320*f**3
Differentiate 5 + 145*h**4 - 8 - 132*h**4 - 22 wrt h.
52*h**3
Let k be -3 - (-1 - 1) - -2. Let m be (4 - 0/3)*k. Find the third derivative of 0*q**4 + 2*q**m + q**2 - 4*q**4 wrt q.
-48*q
Let o(w) be the second derivative of 0*w**3 + 0*w**6 + 6*w + 0*w**5 + 0*w**2 + 1/6*w**4 - 4/21*w**7 + 0. Find the third derivative of o(v) wrt v.
-480*v**2
Let p(n) be the third derivative of -n**8/112 - 2*n**5/15 + 5*n**2. Find the third derivative of p(q) wrt q.
-180*q**2
Let l(x) = x**2 - 7*x - 3. Let c be l(8). Let w(s) = s**3 - 6*s**2 + 5*s + 5. Let t be w(c). Find the second derivative of 0*v**2 + t*v + v**2 - 3*v wrt v.
2
Find the second derivative of 9 + 17*v**3 + 2*v**2 - 2 + 1 + v + v wrt v.
102*v + 4
Let j = 1 - -5. Let w = -2 + j. Find the third derivative of -2*k**w + 5*k - 2*k**2 - 5*k wrt k.
-48*k
Let u(n) be the first derivative of 3/5*n**5 + 0*n**2 + 0*n**3 + 2*n + 4 + 0*n**4. What is the first derivative of u(x) wrt x?
12*x**3
Let c be 1/(-2)*0 + -1. Let t(d) = -3*d**3 - 2*d - 1. Let a be t(c). What is the second derivative of -2*j + 2*j - 2*j**a + 2*j wrt j?
-24*j**2
Suppose -2*a + 2 + 4 = 0. Suppose 3*z = -2*r - z - 8, -3 = -3*r - 3*z. Find the first derivative of -a + r*m + 4*m - 6*m wrt m.
4
Find the third derivative of 106*k**2 + 2*k**5 + 0*k**5 - 116*k**2 wrt k.
120*k**2
Find the second derivative of 2*x**4 - 226*x**5 + 220*x**5 + 18*x - 2*x**4 wrt x.
-120*x**3
Let h(r) be the third derivative of 0*r**3 - 1/12*r**4 - 3*r**2 + 0*r**6 + 1/105*r**7 + 0 + 0*r + 0*r**5. What is the second derivative of h(s) wrt s?
24*s**2
Let t(q) be the first derivative of -q**7/42 + q**5/15 + 7*q**2/2 + 6. Let g(n) be the second derivative of t(n). What is the third derivative of g(m) wrt m?
-120*m
Let r(y) be the second derivative of -23*y**6/30 - 33*y**2/2 + 23*y. Find the first derivative of r(h) wrt h.
-92*h**3
Suppose 2*g - 6 = 3*x - x, 0 = 2*x + 2*g - 14. Let t = x + 0. Find the third derivative of -3*z**2 + 3*z**t - z**2 + z**5 wrt z.
60*z**2
Let l be (8/28)/(2/14). Let d(b) be the first derivative of 0*b**l + 0*b**4 + 0*b + 1/3*b**3 + 2 + 0*b**5 - 1/6*b**6. Find the third derivative of d(t) wrt t.
-60*t**2
Let k(a) be the first derivative of -19*a**2 + 24*a + 43. Differentiate k(b) with respect to b.
-38
Let v(g) be the second derivative of -g**3/6 + 3*g**2 - 6*g. What is the derivative of v(y) wrt y?
-1
Let n(t) be the third derivative of t**9/30240 + t**8/5040 - t**5/60 - t**2. Let s(a) be the third derivative of n(a). Find the third derivative of s(c) wrt c.
12
Let c = 23 - 12. Let y = 17 - c. What is the third derivative of -y*k**2 + 3*k**2 + k**2 - 2*k**5 wrt k?
-120*k**2
Find the third derivative of 1344*s**3 + 2*s**2 - 1299*s**3 + 4*s**2 - 4*s**2 wrt s.
270
Let m(d) be the third derivative of -d**9/15120 - d**5/120 + d**4/4 + 2*d**2. Let s(k) be the second derivative of m(k). Differentiate s(a) wrt a.
-4*a**3
Let t(u) be the third derivative of u**6/24 - u**5/10 - 2*u**2. What is the third derivative of t(q) wrt q?
30
Let k(g) = -18*g**3 - 18*g**2 - 5*g - 5. Let h(q) = -225*q**3 - 225*q**2 - 63*q - 63. Let d(p) = -5*h(p) + 63*k(p). Find the third derivative of d(f) wrt f.
-54
Suppose 5*v + 6*j - 20 = 5*j, 30 = v - 5*j. Find the third derivative of -92 + v*d**2 + 5*d**5 + 92 wrt d.
300*d**2
Let q be (-6)/5*(-7 + 2). Suppose 0 = 4*g + q - 14. Find the second derivative of -2*r + 2 + 3*r**g - r - 2 wrt r.
6
What is the first derivative of -3*k + 0*k + 0 + 1 wrt k?
-3
Let u(f) be the second derivative of -f**2 + 0*f**3 + 0 + 1/12*f**4 - 4*f. What is the first d
|
{
"pile_set_name": "DM Mathematics"
}
|
ger: 1 or s?
1
Suppose -3*f + 6 = 3*d, -9*f - 1 = -3*d - 13*f. Let g be 0 - -1*d - (76 - 71). Which is smaller: -2/7 or g?
-2/7
Let d = -5 - 3. Let t be (9/(-12))/(60/d). Let m = -158 - -157. Are m and t equal?
False
Suppose -3*w + f = -w - 70, -5*w + 185 = -5*f. Suppose -2*q + 163 = 3*m, m + 5*q - w = 17. Is m less than or equal to 56?
True
Let s be 2 + ((-93)/2180)/(146/6906). Let n = -9/436 - s. Is 0 less than n?
False
Let a(z) = 3*z**2 - 22*z - 29. Let r be a(21). Let w be -5*143/r - 1/(-1). Which is bigger: 0 or w?
w
Let w be 4/(-2468) - 0/(-5 + 12). Suppose -18 + 17 = -r. Which is greater: r or w?
r
Let x be (25/20)/(-1) + (-126)/(-24). Let w(o) = -o + 2. Let z be w(-7). Suppose z*h = 5*h + 40. Is x not equal to h?
True
Let b = 205 + -205. Suppose 7*m = -b*m + 7. Is m at most as big as 145?
True
Let h = -9200 + 17988. Is h equal to 8787?
False
Let r(b) = -28 - 7*b + 10*b + 5*b - 2*b. Let o(y) = -2*y**3 - 16*y**2 + y + 4. Let k be o(-8). Let f be r(k). Is f equal to -2/7?
False
Suppose 297*r = 102*r - 41145. Suppose -l = 3*l - d + 843, -l - 237 = 5*d. Is l smaller than r?
True
Let t be (-6)/(-4)*45/54. Let x be (-12)/(-4) + -13 - -2. Is x bigger than t?
False
Let r = 544178/11 - 49594. Which is bigger: r or -124?
r
Let y(u) = -4*u - 9. Let k be y(8). Let c = -26 - k. Let d = c + -15. Is 2.8 < d?
False
Suppose 0 = 5*u + 30*i + 76205, -3*u + i + 4510 = 50062. Is u bigger than -15186?
False
Let z(y) = -y**3 - 13*y**2 + 11*y - 38. Let n be z(-14). Suppose -3*m + s - 5 + 0 = 0, 3*s = n*m + 15. Is m < -16/35?
False
Let p = -629 - -631. Let r(o) = -2*o**2 + 3*o. Let n be r(2). Let x be p + 68/72*n. Which is smaller: x or 0?
0
Let t = -226 + 583. Let d = -396 + t. Suppose f - 2 = 3*f. Which is smaller: d or f?
d
Let o = -112930 - -112930. Let c = 547/946 - -5/86. Is o <= c?
True
Suppose -y = 85 + 105. Let h be 188 + y - (1 - (1 - -2)). Is -41 bigger than h?
False
Suppose 31*k - 8*k = -27*k + 100. Let h be 2/(-7) - 128/(-56). Let g be (-5)/(-8) + h/(-4). Which is bigger: g or k?
k
Let f = -506 - -12626/25. Let w(v) = 5*v + 33. Let j be w(-7). Which is greater: f or j?
f
Suppose -46*p + 50*p = -3*d + 45, 70 = 4*p - 2*d. Which is smaller: 65/4 or p?
p
Suppose 0 = 3*i + j - 2*j + 49, -82 = 4*i + 2*j. Let q be (380/(-15))/(1/9). Let h be 74/q + 1*(-3)/i. Which is smaller: 1 or h?
h
Let p = -124 - -91. Let k be (-21)/(-9)*p/11. Is 3 greater than or equal to k?
True
Suppose 126 = 4*j + 2*j. Is 148/7 < j?
False
Suppose -5*f - 6*n + n + 55 = 0, 2*f - 3*n - 32 = 0. Suppose -f*d = -8*d + 145. Let p(w) = -w**2 - 7*w - 10. Let r be p(-9). Is r at most as big as d?
False
Let d be ((-88)/(-143176))/((7 - 5)*(-2)/(-16)). Is 0 less than d?
True
Suppose 13*l - 7*d = 14*l - 9, l - 3*d + 11 = 0. Let r = -4 - -6. Let s be (-2 + r)/((-10)/l). Is -2/3 <= s?
True
Let v = 27.38 + -20.9. Let l = -0.0458 - -6.5458. Let r = v - l. Is 0.2 > r?
True
Let h be (-5 + -2 - -5)*(-14)/4. Let c(v) = -13*v**2 + 91*v. Let l be c(h). Which is bigger: -19 or l?
l
Suppose d + 17 = -4*i, 4*i = 4*d - 5 + 93. Let m be -9*(-2 - d/7). Which is bigger: 5 or m?
5
Let j = 1.65 + -1.55. Let r = -105/68 - -8669/3060. Let b = r - 7/5. Is b less than j?
True
Let d = -2755 - -2754. Which is bigger: 1/1607 or d?
1/1607
Let x be 873/5 + (-3)/5. Let u(d) = 5*d**2 - 329*d + 2487. Let y be u(8). Is x >= y?
False
Let s = -9763 + 2040479/209. Is s less than or equal to 0?
False
Let o be 3 + (-60)/14 + 1. Suppose 0 = -3*c + 5*d - 5 - 25, 0 = 4*d. Let j be 2 + 17/c + (-13)/26. Is o smaller than j?
True
Let k be (153/12)/((-9)/(-24)) + 0. Let u(s) = -3*s**2 + 17*s - 8. Let l be u(5). Suppose l*b + 180 = 7*b. Is b < k?
False
Let k be ((-8)/(-48))/((-4)/(-9)). Suppose -8 + 21 + 15 = -28*q. Which is smaller: k or q?
q
Let s be (-5 - (-1 + -5))*-1. Suppose 6 = -3*i + 3. Let c be (i - (-65)/(-45)) + 0. Is c != s?
True
Suppose -250 = 6*o - o. Let l be 3/(-12) + o/(-4). Let j = -78.1 + 78. Is l < j?
False
Let n = 32572 - 162859/5. Let d = 45 - 30. Let g = -25 + d. Which is smaller: n or g?
g
Let g = 334971 + -16413573/49. Let a be (3/((-6)/4))/(-2). Which is bigger: a or g?
a
Let v = -802 - -269. Let q = v - -491. Let w = -0.3 + 1.3. Which is greater: q or w?
w
Suppose 62*l - 22348 = 53416. Which is smaller: l or 1223?
l
Let d = 1352 - 1352.6. Let b = 398 - 367. Is d equal to b?
False
Let i = -400.7 + 400.4. Which is bigger: 2.4 or i?
2.4
Let s = -183719 - -183842.179. Let r = s + -0.179. Let t = -122.33 + r. Which is bigger: -1 or t?
t
Let v(w) = -2*w**3 + 35*w**2 - 19*w + 46. Let h be v(17). Let a be h*4/396*3. Is 2 at least as big as a?
True
Let z = -445 + 966. Let i = 543 - z. Is i at least 21?
True
Let o = -1571 - -930. Let t = 3871/6 + o. Are 3 and t non-equal?
True
Let j(x) = 3*x**3 + 18*x**2 - 11*x - 16. Let m be j(-6). Are m and 457/9 nonequal?
True
Suppose 19*f = 35*f + 1328. Is 0.1 at most f?
False
Let m be 1140/(-6) - 2/(-1). Let h(z) = 190*z**3 + 2*z**2 + 7*z + 7. Let u be h(-1). Is u greater than or equal to m?
True
Let f be ((-208)/630)/2 - 214/(-1605). Is f smaller than 75?
True
Let n(o) = -9*o**2 - 8*o - 31. Let w(i) = 7*i**2 + 9*i + 30. Let t(d) = 4*n(d) + 5*w(d). Let p be t(15). Which is smaller: p or 22?
p
Let l = 390 + -370.1. Let w = l + -19.9. Which is smaller: w or 12/7?
w
Let q(c) = c**2 + 61*c - 477. Let s be q(7). Let a = 55 - 56. Is a <= s?
True
Suppose -16062 + 16998 = 36*i. Which is greater: -69 or i?
i
Let h = 34 - 34.024. Let m = 0.174 + h. Let a = 0.05 - m. Is a bigger than -33?
True
Let j = -31928 + 31928. Let m = -2 + 5. Is m smaller than j?
False
Suppose -i - 2*j + 16 = 0, -4*i + 2*j + 1 + 53 = 0. Is 486/35 greater than or equal to i?
False
Let m = 3056 - 3089.6. Is m less than -1/3?
True
Suppose -63*i = -72*i + 1134. Suppose -9*a - 513 = i. Is -71 less than a?
False
Let r be 148/518 - -2*(-9)/14. Let x = 2692 + -1119873/416. Is x < r?
False
Let j be (-4636)/(-152) + ((-2)/(-4) - 1). Let u be 24/j - 3782/4165. Let s = -8/119 - u. Is s > 0?
True
Let i = 11642 - 11642.1. Let v = -0.2 + 0.1. Let d = 0.04 + v. Which is greater: i or d?
d
Suppose 0 = -3*s - t - 5, s = -2*t - 2*t - 9. Let u = 307/3 + -6167/60. Which is bigger: s or u?
u
Let r(d) = -26*d**2 - 23*d + 45. Let w be r(2). Which is bigger: -106 or w?
w
Let u(j) be the third derivative of j**4/8 + 4*j**3 - 637*j**2. Let d(o) = -o**3 + 6*o**2 - 5*o. Let z be d(5). Let a be u(z). Which is smaller: 23 or a?
23
Let y = 0.719 + 2.391. Let f = y - 0.11. Let d be (-5)/4*((-80)/(-75))/(-8). Which is smaller: d or f?
d
Suppose 2*j + 42 = -2*f - 2*f, j = -1. Let p be ((-12)/(-10) - (-7)/f)*-2. Which is smaller: 2/601 or p?
p
Suppose 22*k - 47*k + 36*k = 1100. Is k <= 91?
False
Let r = 2.3 - 2. Let q = -21857/5 - -4391. Let p = q - 59/3. Which is smaller: p or r?
p
Let y be ((-6)/18)/((-2)/(-6)). Let b = 0.37 + -0.432. Let q = b + 0.292. Which is smaller: q or y?
y
Suppose 0 = -3*j + 4*w - 5 + 8, 3*w + 5 = 5*j. Does j = 2/369?
False
Let d(t) = -t**3 + 9*t**2 + 3*t + 2. Let m be d(5). Suppose 2*s + 221 = -3*n, 5*n = 5*s + 948 - 358. Let y = m + s. Which is greater: 15/11 or y?
y
Suppose -15 = -r - 2. Let q be 2/(r/(-2) - 1). Suppose -3*f + 4 = 1. Which is greater: q or f?
f
Let c(y) = -36*y + 918. Let o be c(11). Which is bigger: 518 or o?
o
Let g = 219 - 209. Let o be 156*5/(g/(-3)). Which is smaller: o or 0.1?
o
Let f(m) = m**3 - 12*m**2 - 14*m + 16. Let i be f(13). Let b(d) = 7*d**2 + 5*d - 21. Let s be b(i). Is 335/6 less than s?
True
Let p(u) = -u**2 - 4*u + 212. Suppose 7*k + 4*a - 60 = 11*k, 3*a + 12 = 0. Let n be p(k). Is n less than or equal to -1?
True
Let x = -2 + -21. Let h = 37 + x. Let j = -13 + h. Which is greater: -12 or j?
j
Let u = -2115 + 2114. Which is smaller: 4/661 or u?
u
Let n be (1 - 38/36)*7. Suppose 18*w - 6 = 21*w - 3*l, -5*l = -w - 10. Is w at least n?
True
Let c = 2855.5 + -2855. Which is smaller: -10 or c?
-10
Suppose -i = -3*w + 12, -48 = 6*i - 2*i + 5*w. Let o be 1*(-8)/i - 1. Is -0.052 smaller than o?
False
Suppose 0 = 5*m - 3*y + 174, 5*m - 8*m - 104 = -2*y. Let a be (-8)/(-36) + 485/m. Which is smaller: -1/2 or a?
a
Let f(z) = -157*z - 67. Let i be f(-4). Let q = i + -388. Is 173 >= q?
True
Suppose 5*z - 6*t + 862 = -2*t, -2*z - 352 = -4*t. Let f = z - -211. Is f <= 41?
True
Let u(y) = -y**3 + 71*y*
|
{
"pile_set_name": "DM Mathematics"
}
|
ccc?
11/91
Two letters picked without replacement from {m: 3, g: 8}. Give prob of sequence gg.
28/55
Two letters picked without replacement from {c: 1, g: 1, d: 1, x: 3, z: 4, e: 2}. Give prob of sequence ze.
2/33
Four letters picked without replacement from {d: 8, j: 2}. Give prob of sequence dddj.
2/15
Three letters picked without replacement from {d: 5, t: 3, z: 4}. Give prob of sequence tdd.
1/22
Calculate prob of sequence brv when three letters picked without replacement from rbrv.
1/12
Two letters picked without replacement from dadxuadydadddadddaa. What is prob of sequence au?
1/57
What is prob of sequence zsbs when four letters picked without replacement from {b: 5, s: 3, n: 3, z: 3, d: 1}?
1/364
Calculate prob of sequence qq when two letters picked without replacement from qqxqxxqqxq.
1/3
What is prob of sequence xkdq when four letters picked without replacement from {q: 2, x: 1, e: 1, l: 1, d: 1, k: 1}?
1/420
Calculate prob of sequence xz when two letters picked without replacement from xxzzzzxzzzzzxzzxzzzz.
15/76
Calculate prob of sequence mn when two letters picked without replacement from xznmo.
1/20
Three letters picked without replacement from cfeffefeeevfecc. What is prob of sequence ffc?
2/91
Calculate prob of sequence mas when three letters picked without replacement from {m: 6, s: 1, a: 10}.
1/68
What is prob of sequence aw when two letters picked without replacement from kkkwakkakkkvkktwkwk?
1/57
Two letters picked without replacement from kkkkkeewkweewk. What is prob of sequence kk?
3/13
Three letters picked without replacement from exxhhexkexceh. Give prob of sequence kxx.
1/143
Calculate prob of sequence ii when two letters picked without replacement from {y: 1, i: 3, d: 3}.
1/7
What is prob of sequence mc when two letters picked without replacement from {t: 2, z: 1, m: 2, v: 1, c: 6}?
1/11
Three letters picked without replacement from loqdwlwox. Give prob of sequence dqo.
1/252
Calculate prob of sequence rg when two letters picked without replacement from yujpguryggy.
3/110
What is prob of sequence vv when two letters picked without replacement from xxxxxxxxvzxvxxxxxxxv?
3/190
Two letters picked without replacement from {x: 15, t: 3}. What is prob of sequence tt?
1/51
Calculate prob of sequence bht when three letters picked without replacement from {b: 6, t: 2, o: 3, h: 1}.
1/110
What is prob of sequence hnn when three letters picked without replacement from nhhhnnh?
4/35
What is prob of sequence mz when two letters picked without replacement from {h: 2, c: 1, m: 3, n: 3, u: 2, z: 1}?
1/44
What is prob of sequence lala when four letters picked without replacement from tiiilaiitibiibibial?
1/23256
Three letters picked without replacement from zezezzzezze. What is prob of sequence zez?
28/165
Two letters picked without replacement from {f: 4}. What is prob of sequence ff?
1
What is prob of sequence uyu when three letters picked without replacement from syyyyyyyysuu?
2/165
Calculate prob of sequence de when two letters picked without replacement from pddeded.
4/21
Two letters picked without replacement from hhgyyggyygyh. What is prob of sequence yh?
5/44
Two letters picked without replacement from {l: 3, j: 3, v: 1, q: 2, h: 1, p: 2}. What is prob of sequence lh?
1/44
Three letters picked without replacement from {v: 6, l: 12}. What is prob of sequence llv?
11/68
Two letters picked without replacement from {a: 3, x: 1, d: 1, n: 1, c: 2, r: 5}. What is prob of sequence ra?
5/52
Calculate prob of sequence ss when two letters picked without replacement from ffffffffffsffffsff.
1/153
Calculate prob of sequence aww when three letters picked without replacement from {a: 6, w: 13}.
52/323
Calculate prob of sequence fb when two letters picked without replacement from bbobooofwbolbo.
5/182
Two letters picked without replacement from {n: 5, i: 2, u: 1, a: 1, v: 3}. Give prob of sequence au.
1/132
What is prob of sequence ytt when three letters picked without replacement from {t: 5, y: 4, c: 5}?
10/273
Two letters picked without replacement from pxgxffeexxvf. Give prob of sequence pv.
1/132
What is prob of sequence uz when two letters picked without replacement from {z: 1, a: 3, d: 8, u: 6, v: 1}?
1/57
What is prob of sequence ppk when three letters picked without replacement from {p: 2, k: 3}?
1/10
Two letters picked without replacement from ememjjemm. Give prob of sequence mj.
1/9
Four letters picked without replacement from {l: 3, z: 1, x: 3, n: 6}. Give prob of sequence znln.
3/572
Calculate prob of sequence yyg when three letters picked without replacement from lgvvdlvvlvyglgvvyvlw.
1/1140
What is prob of sequence ggb when three letters picked without replacement from {g: 2, z: 3, s: 2, b: 4, w: 1}?
1/165
Three letters picked without replacement from yyywzlyylwyyy. Give prob of sequence lwz.
1/429
Calculate prob of sequence ana when three letters picked without replacement from {a: 5, n: 4, r: 3, w: 4}.
1/42
Calculate prob of sequence mkl when three letters picked without replacement from jakaakaaakmaklaal.
1/510
Four letters picked without replacement from {d: 5, p: 2}. What is prob of sequence ddpd?
1/7
Four letters picked without replacement from {s: 2, a: 3, t: 5, f: 3, h: 7}. Give prob of sequence asah.
7/9690
Three letters picked without replacement from eeee. Give prob of sequence eee.
1
Calculate prob of sequence nk when two letters picked without replacement from nkwennkkkknwekkk.
2/15
Four letters picked without replacement from fnnfnnnf. What is prob of sequence ffnf?
1/56
Calculate prob of sequence pp when two letters picked without replacement from ppa.
1/3
What is prob of sequence qm when two letters picked without replacement from gugoumgxmmqmggmm?
1/40
What is prob of sequence jjy when three letters picked without replacement from {o: 3, y: 3, e: 4, j: 3}?
3/286
What is prob of sequence vm when two letters picked without replacement from {z: 3, x: 2, v: 1, r: 2, m: 2, a: 10}?
1/190
Calculate prob of sequence iiu when three letters picked without replacement from {i: 9, u: 5}.
15/91
Calculate prob of sequence xxx when three letters picked without replacement from {x: 5, o: 1, r: 5, m: 4}.
2/91
Two letters picked without replacement from llclexxcllxolloxlll. What is prob of sequence cx?
4/171
Four letters picked without replacement from {q: 2, l: 2, v: 1, s: 3, i: 6}. What is prob of sequence isll?
3/2002
Three letters picked without replacement from yyyuqyyjeyuquyeuq. Give prob of sequence ueq.
1/170
Calculate prob of sequence by when two letters picked without replacement from {y: 3, b: 2}.
3/10
Calculate prob of sequence ee when two letters picked without replacement from {n: 2, e: 2, z: 4, j: 12}.
1/190
Three letters picked without replacement from tikiu. What is prob of sequence kti?
1/30
Calculate prob of sequence vzh when three letters picked without replacement from vhqzx.
1/60
Two letters picked without replacement from cbbbbzlzbcub. What is prob of sequence uc?
1/66
Calculate prob of sequence xo when two letters picked without replacement from {y: 1, x: 5, n: 4, u: 1, o: 3, j: 3}.
15/272
What is prob of sequence vkrx when four letters picked without replacement from {k: 5, a: 1, v: 4, h: 4, r: 3, x: 1}?
1/1224
Two letters picked without replacement from ggjgjjgjijigijljjli. What is prob of sequence lg?
5/171
Calculate prob of sequence tff when three letters picked without replacement from {t: 1, f: 2}.
1/3
What is prob of sequence eh when two letters picked without replacement from aiiiifiiahihiiehae?
1/51
Four letters picked without replacement from zznvvvnsmzvvn. What is prob of sequence znvn?
3/572
Calculate prob of sequence nq when two letters picked without replacement from bbqibnbbqqbnqinbbnbb.
4/95
Calculate prob of sequence ass when three letters picked without replacement from {a: 14, s: 5}.
140/2907
Two letters picked without replacement from {k: 3, t: 2, l: 3, b: 1, u: 2, m: 1}. Give prob of sequence ml.
1/44
Calculate prob of sequence pdp when three letters picked without replacement from dpppppd.
4/21
Two letters picked without replacement from {r: 2, m: 2, q: 3, g: 3, p: 5}. Give prob of sequence gg.
1/35
Two letters picked without replacement from kuuu. Give prob of sequence ku.
1/4
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
e third root of 7950 to the nearest integer?
20
What is the third root of 26194 to the nearest integer?
30
What is 51730 to the power of 1/9, to the nearest integer?
3
What is 1478 to the power of 1/2, to the nearest integer?
38
What is 12377 to the power of 1/7, to the nearest integer?
4
What is the square root of 1015 to the nearest integer?
32
What is the square root of 2414 to the nearest integer?
49
What is the fourth root of 1923 to the nearest integer?
7
What is the cube root of 1701 to the nearest integer?
12
What is 3976 to the power of 1/2, to the nearest integer?
63
What is 29781 to the power of 1/3, to the nearest integer?
31
What is the fourth root of 3326 to the nearest integer?
8
What is 29893 to the power of 1/2, to the nearest integer?
173
What is 445 to the power of 1/2, to the nearest integer?
21
What is 117060 to the power of 1/3, to the nearest integer?
49
What is 419 to the power of 1/6, to the nearest integer?
3
What is 60889 to the power of 1/8, to the nearest integer?
4
What is 83499 to the power of 1/7, to the nearest integer?
5
What is the sixth root of 235 to the nearest integer?
2
What is the square root of 27293 to the nearest integer?
165
What is 98960 to the power of 1/3, to the nearest integer?
46
What is the eighth root of 61563 to the nearest integer?
4
What is the cube root of 4866 to the nearest integer?
17
What is the ninth root of 312 to the nearest integer?
2
What is the cube root of 6739 to the nearest integer?
19
What is 1102 to the power of 1/2, to the nearest integer?
33
What is 100009 to the power of 1/3, to the nearest integer?
46
What is 2605 to the power of 1/3, to the nearest integer?
14
What is the square root of 2649 to the nearest integer?
51
What is the ninth root of 5937 to the nearest integer?
3
What is 4264 to the power of 1/10, to the nearest integer?
2
What is the third root of 6548 to the nearest integer?
19
What is 13001 to the power of 1/3, to the nearest integer?
24
What is the square root of 6814 to the nearest integer?
83
What is the square root of 2469 to the nearest integer?
50
What is the square root of 439 to the nearest integer?
21
What is the sixth root of 927 to the nearest integer?
3
What is the cube root of 1050 to the nearest integer?
10
What is 2803 to the power of 1/8, to the nearest integer?
3
What is 5377 to the power of 1/6, to the nearest integer?
4
What is the square root of 2600 to the nearest integer?
51
What is the fifth root of 8443 to the nearest integer?
6
What is the fourth root of 34874 to the nearest integer?
14
What is the eighth root of 36029 to the nearest integer?
4
What is the cube root of 28017 to the nearest integer?
30
What is the square root of 7399 to the nearest integer?
86
What is 54786 to the power of 1/3, to the nearest integer?
38
What is 4616 to the power of 1/6, to the nearest integer?
4
What is 15609 to the power of 1/4, to the nearest integer?
11
What is 76073 to the power of 1/2, to the nearest integer?
276
What is the cube root of 48203 to the nearest integer?
36
What is 314 to the power of 1/6, to the nearest integer?
3
What is the fourth root of 135 to the nearest integer?
3
What is 8993 to the power of 1/2, to the nearest integer?
95
What is 1377 to the power of 1/2, to the nearest integer?
37
What is 382 to the power of 1/3, to the nearest integer?
7
What is 688 to the power of 1/7, to the nearest integer?
3
What is 18638 to the power of 1/4, to the nearest integer?
12
What is 11269 to the power of 1/3, to the nearest integer?
22
What is the square root of 80324 to the nearest integer?
283
What is 3337 to the power of 1/4, to the nearest integer?
8
What is 4254 to the power of 1/2, to the nearest integer?
65
What is the seventh root of 4679 to the nearest integer?
3
What is 73599 to the power of 1/6, to the nearest integer?
6
What is 7369 to the power of 1/7, to the nearest integer?
4
What is 16785 to the power of 1/10, to the nearest integer?
3
What is 1606 to the power of 1/2, to the nearest integer?
40
What is 1570 to the power of 1/5, to the nearest integer?
4
What is the square root of 18988 to the nearest integer?
138
What is the seventh root of 49338 to the nearest integer?
5
What is the eighth root of 4967 to the nearest integer?
3
What is the cube root of 8145 to the nearest integer?
20
What is the ninth root of 5380 to the nearest integer?
3
What is 121458 to the power of 1/2, to the nearest integer?
349
What is the third root of 5303 to the nearest integer?
17
What is 4895 to the power of 1/3, to the nearest integer?
17
What is 20312 to the power of 1/5, to the nearest integer?
7
What is the third root of 1103 to the nearest integer?
10
What is the eighth root of 6770 to the nearest integer?
3
What is the third root of 5531 to the nearest integer?
18
What is the sixth root of 57634 to the nearest integer?
6
What is 16613 to the power of 1/2, to the nearest integer?
129
What is 8499 to the power of 1/8, to the nearest integer?
3
What is 3455 to the power of 1/3, to the nearest integer?
15
What is the fifth root of 7425 to the nearest integer?
6
What is the third root of 6496 to the nearest integer?
19
What is 1142 to the power of 1/2, to the nearest integer?
34
What is the square root of 28122 to the nearest integer?
168
What is the sixth root of 3278 to the nearest integer?
4
What is the fourth root of 591 to the nearest integer?
5
What is 7166 to the power of 1/2, to the nearest integer?
85
What is the cube root of 56770 to the nearest integer?
38
What is the third root of 2478 to the nearest integer?
14
What is the cube root of 22727 to the nearest integer?
28
What is the square root of 34498 to the nearest integer?
186
What is 12081 to the power of 1/2, to the nearest integer?
110
What is 6332 to the power of 1/2, to the nearest integer?
80
What is the square root of 2619 to the nearest integer?
51
What is 1533 to the power of 1/2, to the nearest integer?
39
What is 24395 to the power of 1/3, to the nearest integer?
29
What is the fifth root of 61254 to the nearest integer?
9
What is 2114 to the power of 1/3, to the nearest integer?
13
What is 14389 to the power of 1/9, to the nearest integer?
3
What is the cube root of 3125 to the nearest integer?
15
What is 2049 to the power of 1/6, to the nearest integer?
4
What is the square root of 148015 to the nearest integer?
385
What is 95328 to the power of 1/9, to the nearest integer?
4
What is 3734 to the power of 1/9, to the nearest integer?
2
What is the cube root of 651 to the nearest integer?
9
What is the tenth root of 2093 to the nearest integer?
2
What is the square root of 347 to the nearest integer?
19
What is the seventh root of 218 to the nearest integer?
2
What is the square root of 38096 to the nearest integer?
195
What is the third root of 6701 to the nearest integer?
19
What is the square root of 40782 to the nearest integer?
202
What is the square root of 74686 to the nearest integer?
273
What is the cube root of 5149 to the nearest integer?
17
What is the cube root of 30833 to the nearest integer?
31
What is the cube root of 2556 to the nearest integer?
14
What is the cube root of 65523 to the nearest integer?
40
What is 14246 to the power of 1/4, to the nearest integer?
11
What is the eighth root of 18 to the nearest integer?
1
What is 6238 to the power of 1/6, to the nearest integer?
4
What is 184709 to the power of 1/2, to the nearest integer?
430
What is 915 to the power of 1/2, to the nearest integer?
30
What is the cube root of 5335 to the nearest integer?
17
What is 27396 to the power of 1/2, to the nearest integer?
166
What is the third root of 13565 to the nearest integer?
24
What is the third root of 36557 to the nearest integer?
33
What is the ninth root of 3195 to the nearest integer?
2
What is the cube root of 44815 to the nearest integer?
36
What is the square root of 23513 to the nearest integer?
153
What is the fifth root of 581 to the nearest integer?
4
What is the seventh root of 94197 to the nearest integer?
5
What is the fourth root of 7330 to the nearest integer?
9
What is the third root of 989 to the nearest integer?
10
What is the square root of 1616 to the nearest integer?
40
What is 185369 to the power of 1/6, to the nearest
|
{
"pile_set_name": "DM Mathematics"
}
|
e w*d + 5 + 0 = -2*h, -3*d = h + 3 for h.
0
Let r(l) = -13*l - 9. Let u be r(-1). Let g be 1/2*-8 + u. Solve 0 = -3*b, -4*v = -2*b - 8 - g for v.
2
Suppose -a - 282 = -u, -8*u = -7*u + 4*a - 257. Let c = -272 + u. Solve c*o + s = 22, -4*s = -o + s + 20 for o.
5
Suppose -3*k + 20 = k. Let h be 4 + 1*(-1)/3*-3. Solve 0 = -h*u + 15, 2*l + 9 - 22 = -k*u for l.
-1
Let b(q) = 468*q**2 - 934*q. Let n be b(2). Solve 14*z - 2*w + n = 18*z, z + 4*w = -13 for z.
3
Let q(m) = -m**2 - 2*m + 19. Suppose -5*a + 6*a = -5. Let w be q(a). Solve w*j + 4*c + 1 = 5*c, -j - c + 1 = 0 for j.
0
Let v be ((-4)/((-16)/3))/((-8)/3168). Let d = -293 - v. Solve -z - 6 = 3*i, i = 4*i - d*z - 9 for i.
-1
Suppose 5 = 2*g - 1. Let q = 49 - -17. Let m = q - 63. Solve g*h + 15 = -m*j, 0 = -j + 5*h - 2 + 3 for j.
-4
Let y = -4040 - -4043. Solve -4*m = 11*o - 12*o - 18, 4 = 2*m - y*o for m.
5
Let h = 31 + -21. Let j = h + 62. Suppose -2*q + 4*l + 19 = q, -4*q + j = 4*l. Solve 6 = -5*z + 16, -5*f + q = -z for f.
3
Let x = -35592 - -35596. Solve 2*t = -5*l + 34, 8*t - 6*t - x = 0 for l.
6
Let k(o) = 3*o - 2. Let d be k(6). Suppose 0 = d*g - 32 - 16. Solve -25 = 3*z + 5*r, 0 = 4*z - 6*r + g*r - 15 for z.
0
Let b(a) = a**3 - 5*a**2 - 8*a + 23. Let n be b(6). Suppose 3*v = -2 + n. Suppose -8*p = -v*p - 70. Solve r + 18 = -3*c, -3*r - c = -0*r + p for r.
-3
Suppose 8*b = 5*b + 9. Let a = -603 + 610. Solve b*d + 2*x = -4, -8 = 5*x - a*x for d.
-4
Let j be (-85)/(-34) + 125/10. Suppose 24*l = j*l. Solve l = -3*r + 3*b + 24, 0*r = r - 3*b - 14 for r.
5
Suppose 4*a = -4*t + 11 + 17, 2*t = -a + 9. Solve 0 = a*q + 3*j - 1, 5*q + 5*j + 9 - 14 = 0 for q.
-1
Let o = 8885 - 8885. Solve -l - 5*s + 40 - 50 = o, -9 = -3*l - 2*s for l.
5
Let k(v) = 2*v**2 + 66*v - 736. Let d be k(-42). Solve -64*g + 63*g = 5*q, -5*q = 5*g - d for q.
-1
Let a(o) = o**2 + 9*o + 44. Let f be a(-12). Let t = f - 80. Solve 5*k + 4*n - 27 = 0, t = -k - 4*n + 2*n + 9 for k.
3
Let i be (-4)/(-10) - (-152)/20. Let f = 70911 - 70907. Solve 3*w - i = c + 2*w, -3*c + f*w - 29 = 0 for c.
-3
Let d be (-25)/(-15) + 3/9. Suppose 3*v + 2*v - 48 = d*c, -4*v + c = -39. Suppose v = 3*s + 1. Solve 0 = 7*r - 2*r + 5*j + 5, -s*r = 4*j for r.
-4
Let w = 19328 - 19325. Let t(h) = -h - 4. Let k be t(-8). Solve -k = 2*p + w*i, 0 = -p + 5*i - i + 20 for p.
4
Suppose 12*u = 7*u. Suppose 2*q = -a + 10, -3*q + 3*a - 6*a + 18 = u. Let r be 2/(-4) + (-72)/(-16). Solve -q*c + c - 4 = -r*g, -5*c = -5*g for g.
4
Suppose 0 = 17*v - 198 - 414. Let n be (-9)/(v/4)*-5. Solve 3*g + 2*z - 3 = 2*g, 0 = -4*g - n*z + 9 for g.
1
Let p = -15 - -30. Suppose p - 18 = -3*q. Suppose q + 24 = 5*b, 36 = 4*c + 4*b. Solve -4*w = -0*w + c, 0 = -2*m + 4*w for m.
-2
Suppose 8*i + 19*i + 42*i = 1725. Solve -5*n - 38*c = -35*c + i, -2*n + 5*c + 21 = 0 for n.
-2
Let r be 8 - (2/(-4))/((-8)/48). Suppose t = r*i + 2, 0 = -4*i + 3*t - 2 - 4. Solve u - 4*v = -18, 0 = 2*u - i*u - 5*v + 21 for u.
2
Suppose 0 = -3*v - 44 - 46. Let p be 0*(-7 + v/(-4)). Solve p*j + 5*t + 18 = -j, 0 = -2*j + 3*t + 3 for j.
-3
Let g(w) = 2*w**2 - 73*w - 554. Let c be g(43). Solve 0 = 3*q + 3*v, -v + c*v + 20 = q for q.
4
Let j = -64 + 64. Suppose j = -0*r - 4*r + 8. Suppose 2 = 3*f - 10. Solve -6 = r*x, 2*x - f = 4*a - 2*a for a.
-5
Suppose 5*o - 17 = f - 0, -4*f + 8 = -o. Let b be 30/(-40)*(-8)/f. Solve -p - 4*l = -2*l + 8, b*p = -l - 7 for p.
-2
Let j(w) = 2*w**2 + 258*w - 1833. Let t be j(-136). Solve 0 = -u - q + 10, -2*u - 15 = -76*q + t*q for u.
5
Let s be 1/2 - 198/(-36). Solve -4*p + 4*b + 4 = 0, 0 = -2*p + 5*b + 17 - s for p.
-2
Suppose 28832*j = 28842*j - 30. Solve -s - 4 = -14*v + 10*v, -j*s - v - 12 = 0 for s.
-4
Let t = 4 - 2. Suppose -101*y + 1489 = -11*y - 311. Solve 4*p = -4*w + y, 2*p = -t*p + 4*w - 4 for p.
2
Suppose 4*s + 2 = 8*s + 2*f, -2*s + 5*f - 5 = 0. Suppose 2*i = -s*i + i. Solve -3 = 3*k - r - i, 3*r = 3*k + 3 for k.
-1
Suppose -2*d - 6 = -163*o + 158*o, -4*d + 8 = 0. Solve -o*t - 5*p = -5, 2 = t - 0*t + 2*p for t.
0
Let r(u) = -3*u**2 - 48*u + 680. Let y be r(-25). Let s be 2*(1 + 3/2). Solve l - 4*l + y = i, -11 = -s*l - i for l.
3
Let p(d) = -d**3 + 0 - 11*d + 12*d**2 - 1 + 5. Let h be p(11). Let x(v) = 5*v - 7. Let o be x(2). Solve 5 = 2*r + 2*f + 3, h*f = -o*r + 6 for r.
-2
Suppose 9 = -4*h - 9*x + 12*x, 0 = 4*h + 5*x - 15. Solve 5*z - j = 6*z + 4, 4*z - 2*j - 14 = h for z.
1
Let z be -2 + -3 - (-12 + 11). Let p(r) = 7*r + 28. Let w be p(z). Solve -m - 4 + 5 = w, -2*j - 13 = -5*m for j.
-4
Suppose 5*r - 7 = -25*v + 22*v, -r - 2*v = 0. Solve -2*n = u + 17, -r*n + 4*u - 37 = 9*u for n.
-6
Let k be 6/4 + (-6)/(-4). Let s be (0 - k)/(-3) - -2. Solve 2*q + 3*q + 24 = s*c, 0 = 5*c + 5*q for c.
3
Let s(p) = 152 - 149 - 3*p + p**2 + 9*p. Let g be s(-6). Suppose -g*h = -4*v - 12, -2*h + 3 + 5 = 5*v. Solve -5*k - 4*b + 3*b + 5 = 0, -h*k - 4*b = 12 for k.
2
Let d(c) = 2*c**2 + 77*c + 76. Let v be d(-34). Let u = v - -235. Solve -u*t - 4 - 1 = -3*s, 5*t + 35 = -3*s for s.
-5
Let f(h) = -133*h - 2924. Let w be f(-22). Solve -w*o + 7*o + 5*y - 15 = 0, 0 = -5*o + 5*y - 5 for o.
1
Let g(u) be the third derivative of -u**6/120 + u**5/60 + u**4/4 + u**3/3 - u**2 + 18*u. Let f be g(3). Solve 4*v - f = -2*x + 16, 0 = 3*v - 5*x - 7 for v.
4
Suppose 7760 = 10*b + 7760. Solve 3*l + 7*w - 31 = 12*w, b = -3*l + 3*w + 21 for l.
2
Suppose 0 = -928*b + 998*b - 280. Solve -5*n + 37 = 3*v, -40 = -4*v - v - b*n for v.
4
Suppose 2*x - 13 = 5*y, 3*y + 90 = -5*x + 138. Solve -4*l = -3*m - x, -2*m - 3 - 3 = -3*l for m.
-3
Suppose 12*a - 73 = 35. Suppose 4*l - a = -0*l - 3*d, -2*d + 6 = 0. Solve 3*w + 3*j = j, -3*w - 5*j = l for w.
0
Let x be -7 + (4 - -66)/7. Let v = 0 + 27. Solve -x*g = -3*l - v - 3, 0 = l - 3*g + 20 for l.
-5
Let p(m) = -m**3 - 28*m**2 - 50*m + 52. Suppose -87 = 3*n + 22*h - 25*h, 3*n + 66 = -4*h. Let j be p(n). Solve 3*y = 2*l + 7*y + 10, j = 3*l + 2*y + 3 for l.
1
Let i be (-14)/(-21)*-18 + 17. Solve 0 = -2*t - 10, -i*t = -671*y + 666*y + 30 for y.
1
Let r be ((-144)/136)/9*-17. Solve -r*o + 22 = 3*w, -2*o + 4*w - 6 = -0*w for o.
5
Let t(h) = -h**2 + 12*h + 30. Let r be t(-2). Let o(c) = c - 44. Let b be o(44). Solve -r*x + b*m + 12 = -2*m, 3*m = -4*x - 11 for x.
1
Suppose 0*l + 94 = 2*l. Let o = 65 - l. Let b = o + -14. Solve 3*h + 5 = b*h - y, -9 = 3*h + 5*y for h.
2
Let o be 26*(-4)/(-16)*4. Let x = o - 24. Solve -l = 2*a + x - 13, 5*l - 23 = -2*a for l.
3
Let n = 186 + 67. Let q = -252 + n. Solve -p + t + q = 2*t, t = -5*p - 15 for p.
-4
Let x be (-3)/(12/4)*-14. Let w(o) = -o**2 + 8*o + 86. Let t be w(x). Solve -q = t*q - 3, -4*q + 13 = 3*y for y.
3
Suppose 2 + 99 = 13*i - 29. Solve 2*b + 10 = d - 6*d, -2*b + 2*d - i = 0 for b.
-5
Let l = 137 + -133. Suppose -11 = 37*a - 34*a + l*u, 4*u = -a - 17. Solve 3*h = 2*n + a*n - 7, -4*n + 2*h = -4 for n.
-1
Let u(d) = d**3 - d**2 - d + 4. Let c = 43 - 43. Let o be u(c). Suppose p + o*p - 10 = 0. Solve p*v + 5*r = 2*r - 2, 0 = -3*v - r + 11 for v.
5
Suppose -3318*z + 3311*z = -35. Solve -5*x = 3*p + 13, 5*x - z*p = -2*p - 7 for x.
-2
Let l be (-3 - 12/(-8)) + (-2)/4. Let g be -5*l/10 - 1*3. Let d be 6 + (g + 11)*(-8)/24. Solve -h + 8 - 3 = d*a, -5*a + 3 = -h for h.
2
Suppose 0 = 5*z + k - 11, -29 = -305*z + 302*z + 5*k. Solve -4*m - 120*g - 17 = -121*g, 14 = -m - z*g for m.
-5
Let v(j) be the second derivative of j**4/12 + 7*j**3/6 + 6*j**2 + 7*j + 5. Let u be v(-3). Solve -5*m - 11 = -3*i, u = -3*m + 3*i - 0*i - 9 for m.
-1
Let k(g) = -9*g + 91. Let s be k(11). Let u be (-1)/(s/((-8)/(-2)))*0. Solve -2*z + 2*f = -z + 6, u = -z - f for z.
-2
Let h = -149 + 86. Let p(i) = 9*i + 67. Let q be p(0). Let s = q + h. Solve 3*k = -l - 8, k - 1 - 5 = s*l for l.
-2
Suppose 2*n - 5*x - 5 = -n, 5*x - 20 = -2*n. Suppose 2*i = 2 - 12, 0 = -n*j - 3*i + 10. Solve -3*b + j*c = 6, -c = -b + c - 2 for b.
-2
Let q(y) = y + 4. Let r be q(3). Suppose -4*s = -5*g + 17, -5*s - g - 12 = 2. Let n be (5 - (-3 - 0)) + s. Solve -3*j = l + 6 + r, -n*j - 19 = l for j.
-3
Suppose 5*v - 2*v = t - 16, 3*v + 8 = -t. Let x(q) = -7*q + 32. Let p be x(t). Solve -p*s + 8*s - 11 = -g, -2*s + 2*g = -18 for s.
4
Suppose -2*c = -4*u + 3*c + 173, -5*c = u - 12. Suppose 22 - u = -5*y. Solve -7 = -5*r + 4*f + 5, -3*r - f - y = 0 for r.
0
Suppose -4*x + 3*g = -70, 0 = -0*x - 5*x -
|
{
"pile_set_name": "DM Mathematics"
}
|
nd r?
8
Let m = 687 - 132. Calculate the greatest common factor of m and 15.
15
Suppose 22*t - 26*t = -528. Suppose 2*a = 5*a - 36. Calculate the greatest common divisor of a and t.
12
Suppose 0 = -3*y - 12, -56 - 116 = -3*p - 5*y. Let z be -34 + (-3 + 2)*0. Let b = p - z. Calculate the greatest common divisor of 14 and b.
14
Let c(w) = 3*w**2 - 2*w + 1. Let x be c(-1). What is the greatest common factor of 34 and x?
2
Suppose 0 = -5*q + 11 - 1. Suppose q*g + 60 = 4*b - 2*g, -5*g = 25. What is the greatest common divisor of 40 and b?
10
Let s be (-172)/(-3)*(-432)/(-288). Calculate the highest common factor of s and 258.
86
Let n be (-1)/((-290)/96 - -3). Let i = 29 + n. Suppose -q + 5*q - 44 = 0. What is the highest common divisor of i and q?
11
Let a(f) be the first derivative of f**3/3 + f**2 + 2*f + 3. Let c be a(0). What is the greatest common divisor of 4 and c?
2
Suppose -4159 = -20*s - 1159. Calculate the highest common divisor of 375 and s.
75
Suppose -4*h + 0*h = -16. Suppose -2*t + 36 = 3*n, 0 = -h*t - 5*n - 2 + 74. What is the greatest common divisor of 27 and t?
9
Let g = 697 + -411. What is the greatest common divisor of g and 88?
22
Suppose -400 = -4*a + 2*b, 5*a + 4*b - 486 = 3*b. Calculate the highest common divisor of a and 56.
14
Let b be (-36)/(-3) + -19 + 13. Suppose -10 = o - 3*o. Suppose -17 = o*i + 3, -5*i = -q + 50. Calculate the highest common factor of q and b.
6
Let z be -3 - (-7 - (-3)/6*2). Let n be (3 - 7)/(1 - z/2). What is the highest common divisor of 12 and n?
4
Let d(x) = -x**3 - x**2 + 22*x - 20. Let c be d(-10). What is the greatest common factor of 60 and c?
60
Let t(w) = 4*w - 18. Let d be t(5). Let p be ((-20)/(d + -1))/((-31)/682). Calculate the greatest common divisor of 40 and p.
40
Let p be ((-48)/(-9))/((-16)/(-120)). Let a(d) = d**2 + 7*d - 13. Let i be a(-9). What is the highest common divisor of p and i?
5
Let r = -1379 + 2156. Calculate the highest common factor of 21 and r.
21
Let t be -4*737/22*-2. What is the highest common divisor of 4 and t?
4
Suppose -z = 3*k + k - 16, -12 = -3*z. Suppose q - 11 = k. What is the greatest common divisor of q and 21?
7
Let u(j) = j**2 + 17*j - 60. Let y be u(-26). Calculate the highest common factor of 6 and y.
6
Let t(c) = 6*c + 53. Let b be t(-8). Calculate the highest common factor of b and 105.
5
Suppose 0 = -4*p + 6 + 10. Suppose 2*i - 2*c + 6 = 0, -p*c - c + 25 = 0. Suppose i*o - 3*o + 15 = 0. What is the highest common divisor of 10 and o?
5
Let v = 4 - 4. Suppose 2*f - y = -v*f + 9, 4*y + 6 = -2*f. Suppose 2*r + f = 7. What is the greatest common divisor of 16 and r?
2
Let z = 193 - 135. Suppose -130 = -2*a - 4*j, -3*j + z = a - 8*j. What is the highest common factor of a and 7?
7
Let s be (-6)/(-3)*(-52)/8. Let i = -13 + s. Let u = i + 53. What is the greatest common divisor of u and 243?
27
Suppose 183*m = 185*m - 256. Suppose 2*b - 38 = -2*h, 2*b + 0*b + h - 35 = 0. Calculate the highest common divisor of m and b.
16
Let o be 1/3 + 2975/75. Calculate the greatest common divisor of o and 256.
8
Suppose -p = 2*r - 379, -3*r - 4*p + 543 = -23. Suppose -4*z = -5*f - 2*z + 170, -r = -5*f - 2*z. Calculate the greatest common divisor of 54 and f.
18
Let x = 53 + 43. Let i(y) be the second derivative of 2*y**3 + 18*y. Let u be i(1). Calculate the highest common divisor of u and x.
12
Let l = 46 - 43. Suppose -5*n - 122 = -v, 0*n = -l*v + n + 338. Calculate the greatest common factor of 14 and v.
14
Suppose 0 = -5*k + 2*q + 34, 5*q = 2*k - k - 16. Let u(h) = -h**3 + 6*h**2 + 4*h - 4. Let d be u(k). Calculate the highest common factor of 15 and d.
5
Let z be 7/(-1 - -2) - 1. Let m be 2/z + (-96)/(-9). Suppose 5*j + w + w - 63 = 0, -8 = -2*w. Calculate the greatest common divisor of j and m.
11
Suppose -22*f + 5*t = -26*f + 58, -4*f + 5*t = -38. What is the greatest common factor of f and 84?
12
Suppose -236 = -3*d - 65. Let p be 2/((-1)/(-114)*3). Suppose -p = -3*v + v. Calculate the highest common divisor of d and v.
19
Suppose 1 - 31 = -6*u. Suppose u*k - 4*y - 22 = 0, -1 = 2*k + 2*y + 1. Let p be -28*3/(-12)*k. Calculate the highest common divisor of 14 and p.
14
Let t = 415 + -9. What is the highest common factor of t and 14?
14
Suppose 4*s = -10*n + 5*n + 131, -3*n + 24 = s. Let x be 1/2 + 3/(-2). Let t be ((-2)/(-3))/(x/(-39)). What is the highest common divisor of t and s?
13
Suppose 3*d = a + 13, -4*a - 4*d - 12 - 8 = 0. Let w be (-2)/a + 300/(-21). Let h be (21/w)/(6/(-16)). What is the greatest common factor of 44 and h?
4
Let f(i) = i**2 + i - 7. Let q be f(-3). Let l be 0/((q + -1)/(-1)). Suppose 6*k - 4*k - 36 = l. What is the greatest common factor of k and 9?
9
Let k = 368 - -79. Suppose -2*y + k = -3*d, 2*y + 3*d - 708 = -y. Calculate the highest common factor of 21 and y.
21
Let o = 44 - 30. Suppose 4*w = 343 - 103. Let f = 95 - w. What is the highest common divisor of o and f?
7
Suppose 6*y + 1167 = -1089. Let d = -57 - y. What is the highest common factor of 29 and d?
29
Suppose 2*m - 7 = -1. Suppose 3*l - 7*k + m*k - 289 = 0, 4*l = -2*k + 400. Let r = 7 + 2. What is the greatest common factor of l and r?
9
Let b(t) = -t**3 + 4*t**2 + 14*t - 2. Let p = -62 - -68. Let j be b(p). What is the highest common factor of 5 and j?
5
Let d(r) = 2*r**2 + 5*r - 2. Let x be d(4). Let z = -24 + x. Let t = z + -12. What is the greatest common factor of 42 and t?
14
Suppose 0 = n - 1, -3*t - 4*n - 8 = -4*t. Calculate the highest common factor of t and 8.
4
Suppose -4*v + 163 = -5*b, -45 - 42 = -2*v - 3*b. Calculate the greatest common divisor of 462 and v.
42
Let n = 1036 + 394. Calculate the highest common divisor of 11 and n.
11
Suppose 5*w = 5*n - 6*n + 320, -5*w = -4*n - 320. What is the highest common divisor of 24 and w?
8
Let u(l) = 8*l - 3 - 7 + 9. Let t be u(5). Suppose t = 6*m - 3. What is the greatest common factor of m and 7?
7
Let b(o) = 63*o - 163. Let k be b(5). What is the greatest common divisor of 19 and k?
19
Let d be (0 + (-110)/(-6))/(1/3). What is the greatest common divisor of 44 and d?
11
Suppose 2*j - 34 = -y, -3*j + 54 - 263 = -5*y. Let g(i) = i**2 + 28*i + 101. Let l be g(-24). Calculate the highest common factor of l and y.
5
Suppose 2*z - z = -15. Let l = 23 - -1. Let i be (l/z)/(2/(-35)). What is the greatest common divisor of 7 and i?
7
Suppose 0 = -d + 2*g + 97, -2*g = -d - 3*g + 100. Suppose 0 = -2*r - 27 - 81. Let v be (2/3)/((-4)/r). Calculate the highest common divisor of d and v.
9
Let l(c) = -23*c - 21. Let p be l(-1). Calculate the highest common factor of 110 and p.
2
Let h(u) = -14*u + 199. Let o be h(14). What is the greatest common divisor of 162 and o?
3
Let z(n) = -n + 15. Let k be z(20). Let l be (-3 + 4)/(k/(-125)). Calculate the greatest common divisor of l and 10.
5
Let g be 11/(-33) - 292/6. Let v = -37 - g. Calculate the greatest common divisor of v and 60.
12
Let x be 3 + 256 + (-25)/(20/(-4)). What is the greatest common factor of 24 and x?
24
Let i(n) = -11*n + 23. Let g be i(-11). Let o = -99 + g. What is the greatest common factor of o and 9?
9
Suppose 0 = 4*y + 5*y + 1674. Let h = y - -306. Calculate the greatest common factor of 12 and h.
12
Let k(r) = 9*r**2 + r. Let g be k(1). Let m = -35 + 38. Suppose 145 = 4*j - 5*l, -m*j + 2*l + 108 = -2*l. Calculate the highest common divisor of g and j.
10
Suppose q = 5*q - 5*s - 224, 4*q - 224 = -2*s. Calculate the highest common divisor of 16 and q.
8
Let r be 20/(-3)*(-6)/4. Let l(h) = -h + 7. Let x be l(5). Suppose 6 = x*v - 4, -i + 3*v = -5. What is the highest common factor of i and r?
10
Let d(j) be the first derivative of -17*j**3/3 - 3*j**2/2 - j + 6. Let s be d(-3). Let h = -97 - s. Calculate the greatest common divisor of h and 6.
6
Suppose 6*f - 1155 = -5*f. What is the highest common divisor of 15 and f?
15
Suppose 4*q = -5*q + 369. Suppose 44*s = q*s + 3. What is the highest common factor of 2 and s?
1
Let y(j) = 2*j + 23. Let f be y(-11). What is the greatest common factor of 5 and f?
1
Suppose 42*v - 40*v - 21 = -5*p, 12 = -4*p. Suppose 0 = z + z - 144. What is the highest common factor of v and z?
18
Let v = -1025 + 1119. Calculate the highest common factor of v and 1175.
47
Suppose -2*i + 2 + 2 = 0. Suppose -3*h + 2*h + i = 0. Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
rt(330)*-2)/sqrt(10) - sqrt(33)) + sqrt(33))*5)/(-2*(2*sqrt(539) - (sqrt(99)*1)/sqrt(9)))*-2.
-10*sqrt(3)/13
Simplify 3*(((sqrt(162) + (sqrt(162) - (sqrt(162) + (sqrt(162)*-2*-6 - sqrt(162)))) - sqrt(162))*-6)**2 - (sqrt(162) + -6*(sqrt(162) - 3*sqrt(162)) + 0)**2).
2034882
Simplify (-1 + (sqrt(567) + (sqrt(567) - (sqrt(567) + 2 + sqrt(567))*5) + sqrt(567) - sqrt(567) - (sqrt(567) + -2*sqrt(567)*-3))*5*3)**2.
611550*sqrt(7) + 28727176
Simplify (-5*(sqrt(143)*1 + sqrt(143)) + sqrt(143) + (sqrt(143) + sqrt(143)*2)*5 + sqrt(143))/((3*sqrt(11)*-2 + 1*sqrt(1331))*2).
7*sqrt(13)/10
Simplify ((-2 + -1 + sqrt(68) + -4 + 0)**2 + -6*(sqrt(68)*1 + 0)**2*-2)*-6.
-5598 + 168*sqrt(17)
Simplify 3 + (-1 + 1*1*((4 + (sqrt(704) + sqrt(704) + 1 - sqrt(704)) - sqrt(704)) + sqrt(704)))**2 + 3.
64*sqrt(11) + 726
Simplify (sqrt(76)/sqrt(4) + 3 - (sqrt(19) - (sqrt(133)*-2)/sqrt(7))) + -2 + (3 + -1 + sqrt(171)*-1)**2.
-14*sqrt(19) + 176
Simplify -1*((sqrt(192) - ((3 + sqrt(192) - sqrt(192)) + 3 - sqrt(192)) - (3 + sqrt(192) + sqrt(192))*-1) + -3*(5 + -1 + sqrt(192)) + 4)**2.
-313 + 176*sqrt(3)
Simplify ((sqrt(1944)*-1 - sqrt(1944))/(sqrt(8) + -1*sqrt(392)) - (sqrt(9)/(sqrt(12)/(sqrt(4)*2) + sqrt(3)) + -2))**2 + 5.
28*sqrt(3)/3 + 76/3
Simplify ((sqrt(480)*2*5)/(sqrt(24)/sqrt(2)*-6))/((sqrt(288) - sqrt(288)*-1*2) + 1*sqrt(288)*-2).
-5*sqrt(5)/18
Simplify (-2*((sqrt(2057) + 3*sqrt(2057)*2)*1 - (-1*sqrt(2057) + 4 + -1))*3)**2.
-19008*sqrt(17) + 4739652
Simplify (sqrt(525)*3 - sqrt(210)/(sqrt(50)/sqrt(5)))/(6*sqrt(56)/(sqrt(392) + sqrt(8))*1).
56*sqrt(3)/3
Simplify (1*(sqrt(68) - ((-2*sqrt(68)*6 - sqrt(68)) + sqrt(68)) - sqrt(68)*-2*5))/((1*sqrt(484) + sqrt(12)/sqrt(12) + sqrt(4))*-2).
-23*sqrt(17)/25
Simplify 1 + 5*-2*(sqrt(10)/sqrt(2)*-2 + sqrt(35)/(sqrt(21)/sqrt(3)) + (sqrt(605) + (sqrt(605) - (0 + sqrt(605))) + -3)**2) + 4.
-6135 + 670*sqrt(5)
Simplify (1 + ((sqrt(68) - sqrt(68)*-1) + 3 + (sqrt(68) + 1)*2 - (1*(1*sqrt(68) - sqrt(68)) + 0 + sqrt(68) + -5))**2)*6.
720*sqrt(17) + 4278
Simplify ((5 + 0 + sqrt(2736)*2)**2 - (6*2*sqrt(171) + 2))*6.
1224*sqrt(19) + 65802
Simplify ((3*(sqrt(120) - (sqrt(120) + sqrt(120)*2)))/(2*sqrt(3)*3))/(6*-3*sqrt(8) + sqrt(8) - (sqrt(8) + -6*sqrt(32))).
sqrt(5)/6
Simplify (sqrt(1274) + -1*sqrt(1274) + sqrt(1274))/((sqrt(20) + sqrt(20)*-2)/sqrt(10)) + 5*(4*(sqrt(117) + -1) + 5*(-1 + sqrt(117)))**2.
-2437*sqrt(13) + 47790
Simplify (-1*(1*2*sqrt(204) + (5*-2*sqrt(204) - sqrt(204))))/(sqrt(2352) - (sqrt(2352) + -2*sqrt(2352)*1 - sqrt(2352))).
3*sqrt(17)/14
Simplify (sqrt(77) + ((sqrt(77)*-1 - sqrt(77)) + sqrt(77) - sqrt(77))*6)/(-2*sqrt(704)) + (0 + sqrt(567)*-3)*-6.
2603*sqrt(7)/16
Simplify (((sqrt(133) - 2*sqrt(133))*2 + (sqrt(133) + -1*sqrt(133))*-3 + sqrt(133))*-2)/((sqrt(70) - 1*sqrt(70)*-4)/((1*sqrt(80))/sqrt(8))).
2*sqrt(19)/5
Simplify 1*(2*((1 + sqrt(242))*-2 - 3*(sqrt(242) + 0)))**2*-1 + -2.
-24218 - 880*sqrt(2)
Simplify (-3*(sqrt(1900) + -1 + 5 + 4) - ((sqrt(1900) + sqrt(1900)*3 + 2 + sqrt(1900) - sqrt(1900)) + -5 + 2))**2.
3220*sqrt(19) + 93629
Simplify (-2*sqrt(95)*4 + (sqrt(95) - sqrt(95)*-2*2))/(-2*(sqrt(245)*-1*-1 + sqrt(245))).
3*sqrt(19)/28
Simplify ((2*4*sqrt(304)*2 - sqrt(304)*-1*2*-3) + 2)**2.
160*sqrt(19) + 30404
Simplify (-3*sqrt(104)/(3*sqrt(800) + sqrt(800)) + (-5*sqrt(130)*-1)/(2*sqrt(250)))**2.
3757/1600
Simplify (-3*(sqrt(66) + -3*sqrt(66)) - 1*(sqrt(66)*2 + sqrt(66)))/(((sqrt(216) - (sqrt(216)*1 + sqrt(216)))/sqrt(4))/sqrt(9)*3).
-sqrt(11)
Simplify (-5*(-5 + 3*(4 + sqrt(108))) + (((5*sqrt(108) - sqrt(108)) + sqrt(108))*3 - (sqrt(108) - (3 + sqrt(108)*-1))))**2.
768*sqrt(3) + 1456
Simplify ((4 + 4*sqrt(153))*-5 + (-4*sqrt(833) - (sqrt(17) - (3 + -3 + sqrt(17)))))**2.
3520*sqrt(17) + 132048
Simplify 2*(5 + sqrt(325)*4)**2 - (3 + (-3 + sqrt(325))**2 + -2).
430*sqrt(13) + 10115
Simplify (5 + (-3 + 5*(sqrt(1900) + -2) - (3 + sqrt(1900)*-2 + -3)))**2.
-1120*sqrt(19) + 93164
Simplify (-2*(-4 + (sqrt(700) + sqrt(700) + 4 + (sqrt(700) + 0 + sqrt(700) - sqrt(700)) - (0 + sqrt(700)*-1) - 4*5*-1*sqrt(700))))**2*4.
6451200
Simplify ((sqrt(2200) - (sqrt(2200) + (sqrt(2200) + (sqrt(2200) - -5*sqrt(2200)))*-4))/((sqrt(144)/sqrt(8) + sqrt(18))/sqrt(9)*6))**2.
53900/9
Simplify (sqrt(128) + sqrt(128) + -3*sqrt(128)*2 + (sqrt(128) - -1*sqrt(128)*-5))/(sqrt(4)*3*-4 - (-5*-1*sqrt(4) + sqrt(4))).
16*sqrt(2)/9
Simplify -2*((((sqrt(1100) - (sqrt(1100) + 2*sqrt(1100)))*5 + sqrt(1100) - -2*(sqrt(1100) + sqrt(1100)*-1))*2*-3*5)**2 + 1).
-160380002
Simplify 4*(5 + (3 + -5*(sqrt(192) - (sqrt(192) + -1)) - -6*(sqrt(192) - (sqrt(192) - (sqrt(192) + sqrt(192) + 0) - sqrt(192)))*-6)**2 + -3).
13824*sqrt(3) + 8957976
Simplify -1*(-1 + 1*(-4 + (sqrt(68) - ((3*sqrt(68) - sqrt(68))*3 - sqrt(68))**2))*-1*4).
-6815 + 8*sqrt(17)
Simplify ((0 + -5*sqrt(325))*-6 + (-3*sqrt(65)/sqrt(5) + ((sqrt(13) + sqrt(26)/sqrt(2))*5 - sqrt(13)))*4)**2.
393588
Simplify 1 + ((sqrt(1224) - 4*-1*sqrt(1224)) + -3*2*sqrt(1224))/(-6*5*(sqrt(2)*-1*3 + sqrt(2))).
-sqrt(17)/10 + 1
Simplify ((sqrt(8) - (sqrt(8) + -1)) + 1 + (sqrt(8) - (sqrt(88)*1)/sqrt(11)) + 0 - (sqrt(968)*-2 - -1*sqrt(648)))**2.
104*sqrt(2) + 1356
Simplify (5*-4*((6*(1 + sqrt(245))*-5 + -3)*3 + 3))**2.
48384000*sqrt(5) + 797486400
Simplify (-1*(3*sqrt(693))/sqrt(11)*3)/(sqrt(1089) + sqrt(1089)*-3*-1 - sqrt(1089)*-2*-4).
9*sqrt(7)/44
Simplify (1*(sqrt(144)/(2*sqrt(12)) - (sqrt(1452) - 1*sqrt(1452))))/(-5*sqrt(24)*1 + sqrt(24) - 1*(sqrt(24) + sqrt(24)*-2)).
-sqrt(2)/12
Simplify ((2*-4*(-2 + sqrt(75)) + ((sqrt(60)/sqrt(2) - sqrt(30))/sqrt(10) - ((sqrt(75)*-3 - sqrt(75)) + sqrt(75))))*4)**2.
-12800*sqrt(3) + 34096
Simplify -3 + ((5 + 5*(-2 + (sqrt(162) - 2*sqrt(162))))*1)**2 + 2.
450*sqrt(2) + 4074
Simplify ((sqrt(1377) + -1 + -1 - (sqrt(119)/(sqrt(7) + sqrt(21)/sqrt(3)) + sqrt(68)/sqrt(36))) + (sqrt(153)*-2*1)/(-3*sqrt(576)))**2.
-33*sqrt(17) + 18577/16
Simplify -1*(sqrt(243) - (-1 + sqrt(243)))*-5*-3 + -1 + (sqrt(12)*-2 - 1*(sqrt(3) + sqrt(48)))**2.
227
Simplify ((sqrt(468)*1)/sqrt(9) + -2*(sqrt(52) + sqrt(208)/sqrt(4)))/(sqrt(24)/(sqrt(12)/sqrt(2)) - (sqrt(4) - 4*sqrt(100)))*4.
-3*sqrt(13)/5
Simplify (-4 + -2 + ((sqrt(720) - (sqrt(720) + sqrt(720)*5)**2) + 5 - (3 + (-4 + sqrt(720) - sqrt(720) - sqrt(720)))) + 2)*3.
-77754 + 72*sqrt(5)
Simplify (-4*2*sqrt(196)*-2)/((sqrt(294)*-2)/(sqrt(243) - ((sqrt(243) - -1*sqrt(243) - sqrt(243)) + sqrt(243)) - sqrt(3)))*2.
160*sqrt(2)
Simplify (0 + sqrt(1300)*2 + -4 + 2 + (sqrt(4212) + sqrt(4212) + 2)**2 + 0)*-1.
-16850 - 164*sqrt(13)
Simplify 5*((sqrt(208)/sqrt(4)*-3 + 5 - (2 + sqrt(3328))*-1)*-6)**2.
25200*sqrt(13) + 242820
Simplify 0 + 1*(-4*(sqrt(171) + -1*(sqrt(171)*-5 - sqrt(171)) + sqrt(171) - sqrt(171)))/(-1*2*sqrt(81)).
14*sqrt(19)/3
Simplify 6*(-5*(1 + -2 + sqrt(176))*2 - ((-4*sqrt(176)*6 - sqrt(176)) + (sqrt(176) - (-4 + (sqrt(176) + 1 - sqrt(176)))**2))).
114 + 336*sqrt(11)
Simplify (3*1*sqrt(63) + 6*(sqrt(7) + -1)*-1 + -5)*-6.
-18*sqrt(7) - 6
Simplify 4 + (sqrt(891) - -1*sqrt(891))*-3 + 1 - (-4 + -5 + (sqrt(11) - (sqrt(66)/sqrt(2))/sqrt(3) - (sqrt(22)/sqrt(2) + -4))).
-53*sqrt(11) + 10
Simplify -4 + 2 + 0 + (sqrt(242) + -2)**2 + (sqrt(20) - 1*sqrt(80))/sqrt(10).
-45*sqrt(2) + 244
Simplify (5 + sqrt(19) + 3 + 3)*2 - ((sqrt(114)*-2 - sqrt(114))*-1)/(sqrt(6) - (sqrt(6) - sqrt(150)*1)).
7*sqrt(19)/5 + 22
Simplify ((-1 + (sqrt(170)/(sqrt(10) - (sqrt(10) - sqrt(40)/sqrt(4))) + 1 + sqrt(425) - -3*(sqrt(17) - (-4*sqrt(17) + 5))))*-5)**2.
-15750*sqrt(17) + 193050
Simplify 3*(3 + (sqrt(140)/sqrt(4) + sqrt(35))/sqrt(5)*-2 + (2*(sqrt(70)*-1 + sqrt(70)))/(sqrt(80)/(sqrt(8)*2))).
-12*sqrt(7) + 9
Simplify -2 + ((sqrt(5082) - -1*sqrt(5082))/sqrt(3))/((-1*sqrt(70)*-6)/sqrt(10)).
-2 + 11*sqrt(2)/3
Simplify -2 + -3 + ((sqrt(125) + 0 + sqrt(125) + sqrt(125) + 3 + sqrt(125) - (sqrt(125) + sqrt(125)*1 + sqrt(125) + -3)) + 3*(0 + sqrt(125)) + 5)**2.
440*sqrt(5) + 2116
Simplify (-4*-5*(sqrt(65) + sqrt(65)*2)*-2)/((5*sqrt(960) + sqrt(60))/(2*-2*sqrt(12))).
160*sqrt(13)/7
Simplify -1*(-2 + sqrt(6292) + 0 - ((sqrt(52) + 4)**2 + -3*sqrt(468))).
-24*sqrt(13) + 70
Simplify ((-4*1*sqrt(200))/(sqrt(55)/(sqrt(11)*1 + sqrt(11))))/(-6*(-2*sqrt(80)*2)/sqrt(10)).
-sqrt(5)/3
Simplify -2*5*(sqrt(153) + -3 + -2 + sqrt(153) - ((2 + sqrt(153))*4)**2)*-5.
-125850 - 9300*sqrt(17)
Simplify -5 + ((sqrt(1700
|
{
"pile_set_name": "DM Mathematics"
}
|
h = 4 - g. Suppose -2*m + 34 = -0*m. Calculate the remainder when m is divided by h.
8
Suppose -2*n + 6*g - 8*g = -36, 0 = 5*g + 10. What is the remainder when 158 is divided by n?
18
Suppose 4*f = 39 - 19. Let q(h) = -3*h + 0 + 4 + 5 - 7 + 2*h**2. Calculate the remainder when f is divided by q(2).
1
Let j(s) = -s**2 + 23. Let o(k) = -k**2 - 5*k - 4. Let y be o(-4). Calculate the remainder when j(y) is divided by ((-4)/(-10))/(3/60).
7
Let s = -5 + 14. Calculate the remainder when 16 is divided by s.
7
Let i(q) = 3*q**2 - 2*q + 4. Suppose -4*f = 4*w, 4*f - 4 = 3*w + 8*f. What is the remainder when i(w) is divided by 15?
14
Suppose 0 = 2*o - o - 6. Let j = -83 + 85. What is the remainder when o is divided by j?
0
Suppose -4*n = -0*q - 2*q - 166, 5*q - 101 = -2*n. What is the remainder when n is divided by 23?
20
Suppose -66 = -3*y + 3. What is the remainder when 68 is divided by y?
22
Suppose 15 = 5*d - 15. Calculate the remainder when 232/d + (-2)/(-6) is divided by 10.
9
Let a(j) = 22*j**3 - j**2. Calculate the remainder when a(1) is divided by (2 - 3/6)*8.
9
Suppose -j = 5*n - 65, 5*j - 4*n = -3*n + 299. Let v = j + -33. Calculate the remainder when v is divided by -14*(1 + 1)/(-2).
13
Suppose -81 = -2*k + k - 5*m, 0 = -2*k - 5*m + 177. Suppose 5*y + 23 - 272 = -w, -2*y - 4*w + k = 0. What is the remainder when y is divided by 13?
11
Calculate the remainder when ((-7455)/(-20))/7 - (-1)/(-4) is divided by 14.
11
Suppose 0 = -j + 4*m + 12, 3*m = 2*j + j - 27. Suppose -5*z - l + j = 25, -2*z + 4 = -5*l. What is the remainder when 7 is divided by ((-2)/z)/((-2)/(-12))?
3
Suppose 3*i + 83 = 5*y, 12 = -2*i + 5*i. Calculate the remainder when 73 is divided by y.
16
Let d = 25 + 2. What is the remainder when d is divided by 2/(((-16)/(-10))/4)?
2
Let q = -1 + 64. Calculate the remainder when q is divided by 17.
12
Suppose 0*u - 2*u = -168. Calculate the remainder when u is divided by 29.
26
Let f(l) = -l - 19. Let v be f(-9). Let w be (24/v)/(2/15). Calculate the remainder when (-14)/6*1*w is divided by 11.
9
Let r(w) = 31*w**2 - 2*w + 3. What is the remainder when 156 is divided by r(1)?
28
Let d(c) = 0 + 0 + 1 - 9*c. Let p be d(-3). Suppose -p = -4*j + 16. What is the remainder when 20 is divided by j?
9
Suppose 5*q + a + 148 = 0, -q - 3*a = -a + 26. Let d be 1/(-2) - q/4. Let j = d - 5. What is the remainder when 3 is divided by j?
1
Let p(u) = u**3 + 9*u**2 + u + 9. Calculate the remainder when p(-8) is divided by 17.
14
Let i = -7 - -65. What is the remainder when i is divided by (-34)/(-2) - (-1 - -3)?
13
Suppose 0 = 5*m - 0*m + 4*y - 126, 2*m - 3*y = 55. Suppose -2*i + 3*z + 67 = 2*i, z = -i + 22. Let v = i - 5. Calculate the remainder when m is divided by v.
12
Let b = -31 - -46. Suppose -2*k + 5*j = -7*k + 5, -5*j + 19 = -2*k. Calculate the remainder when k*(1 + 90/(-4)) is divided by b.
13
Let o(z) = 12*z**2. Let i be (1 - 2)*(-1 - 2). Suppose 93 = i*t + 24. Calculate the remainder when t is divided by o(1).
11
Let j be 2/7 - (-36)/21. Suppose -7 = -3*k - 2*u, 0 = 4*k + 2*u - u - 6. Calculate the remainder when 35 is divided by (k/j)/(2/36).
8
Let u = 4 + -1. Suppose -2*v + 8 = w, -u*w - 5*v = w - 47. Let f(y) = -y**3 - 6*y**2 - 9*y - 1. Calculate the remainder when f(-6) is divided by w.
17
Suppose 4*k + 5*q = -354, -k - 2*k - 250 = -4*q. What is the remainder when 2 - (-3)/(-6)*k is divided by 16?
13
Suppose -4*r = -t - t + 38, 5*t = 4*r + 77. Suppose p + 0*p = t. Calculate the remainder when 25 is divided by p.
12
Let l = 50 + -32. Let f be (2/(-6))/(3/(-477)). Suppose -r - 4*z + 6 = 0, 0*z - 3*z = -5*r + f. What is the remainder when l is divided by r?
8
Let r be 6*(14 + -2)/3. What is the remainder when 32 is divided by (-35)/(-3) + (-16)/r?
10
Let d(g) = 8*g + 2*g**3 - 8 - 4*g**3 + g**3 + 8*g**2. Let k be d(8). Let n = -36 + k. What is the remainder when 39 is divided by n?
19
Let p be 6/(1 + 2) - -1. Suppose 0 = -3*c + 3*d + 81, -c + p*d + 125 = 4*c. What is the remainder when c is divided by 12?
10
Let s(a) = a**3 + 6*a**2 - 3*a - 7. Let p be s(-5). Suppose -3*r + 96 = -p. Calculate the remainder when r is divided by 15.
13
Suppose 4*i - 5*v - 39 = -0*v, -5*v = -5*i + 45. Let c(d) = -d**2 + 8*d + 1. Let a = -9 + 14. What is the remainder when c(a) is divided by i?
4
Suppose -3*r + 56 + 16 = 0. Calculate the remainder when 91 is divided by r.
19
Let x = 61 - 1. Suppose 8*c = 4*c + x. Calculate the remainder when 27 is divided by c.
12
Let f(g) = -g**2 + 6*g - 2. Let o be f(6). Let q = o + 3. Suppose -d = i - 6, 5*i - q = -d - 3. Calculate the remainder when 15 is divided by d.
7
Suppose 0 = 3*m + 2*m - 225. What is the remainder when m is divided by 12?
9
Suppose 10 = -5*i - 2*r + 69, 4*i = -5*r + 37. What is the remainder when i is divided by 11?
2
Suppose 4*x - 26 = -r, -36 = -2*r + 2*x + 46. Calculate the remainder when r is divided by 10.
8
Suppose 4 = a - 0. Calculate the remainder when 23 - (-4 - a)/2 is divided by 14.
13
Suppose -v = 2*v - 42. Let r = -13 - -18. What is the remainder when v is divided by r?
4
Let s = 4 + -2. Let t be (s/3)/((-4)/12). Let h = 5 - t. Calculate the remainder when 19 is divided by h.
5
Let i be (-8)/(-2)*49/28. Suppose -5*c + 231 = i*d - 3*d, -2*c - 2 = 0. Suppose -4*o + 11 + 49 = 0. What is the remainder when d is divided by o?
14
Let h(k) = -42*k - 1. Let f be h(-1). Suppose -i + 2*i + f = 0. Let a = -11 - i. Calculate the remainder when a is divided by 16.
14
Let b be (2/6)/(2/(-6)). Let k(a) = -9*a - 1. What is the remainder when 29 is divided by k(b)?
5
Let t be 1 + (-3)/(-3) - 2. Suppose -2*l - l + 66 = t. What is the remainder when l is divided by 12?
10
Suppose 4*s = s - 18. Let t(h) = -4*h - 4. What is the remainder when 59 is divided by t(s)?
19
Suppose -2*l + 43 = 3*b, -3*l + 25 = 2*l. Calculate the remainder when b is divided by 7.
4
Let x(g) = g - 2. Let o be x(2). Let j = 44 + -4. Suppose 0 = 5*f - 5*q - o*q - j, -4*f + 3*q + 29 = 0. What is the remainder when 14 is divided by f?
4
Suppose 3 = -4*g + 147. Suppose -i + 4*z + 101 = 0, -3*z - z + 319 = 3*i. What is the remainder when i is divided by g?
33
What is the remainder when 25 is divided by ((-12)/(-30) - (-16)/(-5))*-5?
11
Let q be (-11)/33 + 10/3. Suppose 3*b = 7*b + 5*t - 35, -q*b = 2*t - 35. Calculate the remainder when 43 is divided by b.
13
Suppose 0 = -4*r + r + 6. Suppose 7*o + 5*x - 95 = 2*o, 2*x + 18 = r*o. Calculate the remainder when 54 is divided by o.
12
Suppose -t = t - 8. Let x be (-26)/(-6) - (-4)/(-12). Suppose 25 = x*g + g - f, f - 20 = -t*g. Calculate the remainder when 9 is divided by g.
4
Let c be 10/((1 + -2)/1). What is the remainder when 35 is divided by (-6)/(-15) + (-176)/c?
17
Let n(c) = -c**3 + 7*c**2 - 4*c + 7. Let d be n(8). Let w be d/(-5) - (-5)/25. Let o = w - 3. Calculate the remainder when 42 is divided by o.
12
Let b(o) = o**3 + 0 + 2*o + 3 + 5*o**2 - 2 - o**2. Let g be b(-3). Suppose -g*x + 168 = 2*l, -x = 2*l - 51 + 3. What is the remainder when x is divided by 21?
19
Let u = -46 + 49. Let p(z) = z**3 - z**2 - 2*z + 4. Let g be p(3). Suppose 5*q - 24 = -4*j, -q + g = 2*q + 4*j. What is the remainder when q is divided by u?
1
Let q(x) = -6*x + 39. What is the remainder when q(-12) is divided by 30?
21
Let a(u) = -4*u + 2. What is the remainder when a(-8) is divided by 19?
15
Let i(r) = -r**2 - 6*r - 2. Suppose 3*n + 15 = -0*n. Calculate the remainder when 10 is divided by i(n).
1
Calculate the remainder when 13 is divided by (-2 + 0)/(1/(-2)).
1
Suppose 0*p - 585 = 5*x - 3*p, 3*x + 3*p = -375. Let j = x + 200. Suppose -5*b + 32 = -3*v + j, 4*b = 4*v - 64. What is the remainder when 31 is divided by v?
15
What is the remainder when 62 is divided by ((-30)/50)/((-1)/20) + 4?
14
Let c = 206 - 102. What is the remainder when c is divided by 21?
20
Let r be (-1 + 1)*1/(-2). Suppose -3*v - 2*v - w + 720 = r, 0 = w. Let o = v + -95. Calculate the remainder when o is divided by 17.
15
Let i(w) = -8*w**3 - 2*w - 2. Calculate the remainder when i(-1) is divided by 5.
3
Suppose 3*n = 2*n + 13. Calculate the remainder when n is divided by 8.
5
Suppose 3*r - 5*f - 1 = -f, -r + 9 = 3*f. Calculate the remainder when r is divided by 3.
0
Let y(z) = -33*z - 3. Calculate the remainder when y(-4) is di
|
{
"pile_set_name": "DM Mathematics"
}
|
- 4 for b.
4
Solve 2*i + 6 = 3*k, 1 = 2*i - 24*i + 20*i + 7*k + 3 for i.
-6
Solve -k + 3*j - 72 = -2*j, -2*j - 31 = -7*k - 73 for k.
-2
Solve 11 = -9*s + 10*s, 20 = -0*z + 3*z + 76*s - 75*s for z.
3
Solve -3*o - 39 = 3*g, 6*g - 135*o - 3 = -140*o - 70 for g.
-2
Solve -533*a = -528*a - 3*y + 7*y - 49, 3*y + y - 14 = 2*a for a.
5
Solve 2*w + 536676 - 536633 = -15*h, -4*w = -h - 7 for h.
-3
Solve -4*a = -1265*o + 1232*o + 178, -4*a = -4*o + 120 for o.
2
Solve 10 + 157 = -4*b + 203, 20 = -2*x + 2*b for x.
-1
Solve -8*c + 43*x - 45*x = -4*c - 74, 15*x = -7*c + 187 for c.
16
Solve -22*f = 5*i + 90, 1233*f + 5*i = 1229*f for f.
-5
Solve 12*o - 2*s = 4, 0*s = -3735*o + 3737*o + 3*s - 14 for o.
1
Solve g + 59 = 59, -11*g - 4 = 4*s + 17 - 1 for s.
-5
Solve -4*p = -37*k - 64 - 42 + 35, -4*p + 5*k - 82 = -57 for p.
-10
Solve -5134 + 5284 = -5*g - 5*y, -61*g + y = 32 for g.
-1
Solve 63781*m = 63783*m - k + 46, -m - 23 = -5*k for m.
-23
Solve -93*n + 59*o = 61*o - 2699, 4*n = 2*o + 114 for n.
29
Solve -w = -2*n - 37, 25*n = 5*w - 7577 + 7347 for n.
-3
Solve 0 = 28*r - 4*o + 104, -8952 = 4*r + 2*o - 8950 for r.
-3
Solve -2*p = -4*k + 54, 4*p - 1760139 = -3*k - 1760247 for p.
-27
Solve -8*h + 3*h - 4*f - 9 = -2*f, 2*f = -5*h + f - 12 for h.
-3
Solve 8*a - 30 + 21 = -3*j - 7*a, -7*a - 63 = -j for j.
28
Solve 3*w + 549*l - 26 = 535*l, -24 = -5*w - 4*l for w.
4
Solve -2*d - 22 = 5*b - 53, 2*d - 178*b + 182*b = 24 for d.
-2
Solve 135*p = 130*p - 18*f + 36, 0 = -2*p - p - 5*f + 10 for p.
0
Solve -d + 42650*j - 42655*j = 3, 4*d - 6 = -2*j for d.
2
Solve -31 = 5*q - 1031*w + 1029*w, 9*q - 5*w = -60 for q.
-5
Solve 8*w + 7 = 5*f + 46, 9 = 83*f - 84*f + 2*w for f.
-3
Solve 3*b = 22*y - 47*y + 13*y + 17*y - 111, -3*y = -b - 65 for b.
-2
Solve -z = 3*o - 79, -58 = -2*o + 547*z - 549*z for o.
25
Solve -2*q - 10 = 0, 10*q + 276 = 158*a - 163*a - 69 for a.
-59
Solve 74*t + 464 = 5*s, -42 = 3883*t - 3878*t - 3*s for t.
-6
Solve -l = -695*p + 692*p + 3, -38 = -4*l - 13*p for l.
3
Solve -9*v - 5*y + 682 - 693 = 0, -3*v - 13 = 4*y for v.
1
Solve 3*o - 41 = 4*p, -4*o + 4*p = -12702237 + 12702197 for o.
-1
Solve -3822 = -2*v + i - 3816, 7*v - 22 = 3*i for v.
4
Solve -x + 105 = -3*d, -4103*x + 4102*x - 167 = 5*d for x.
3
Solve 4*b - 72 = 9*y, -5*b - 2*y - 10 - 10 + 4 = 0 for b.
0
Solve 2*t + 3*n = 118, 86*t - 101*t + 39 = -n for t.
5
Solve -98*y - 2*o + o = -689, -631*o - 2 = -630*o - 5 for y.
7
Solve 19754*p - 13 + 17 = 19755*p - b, 85 = 3*p - 11*b + 33 for p.
-1
Solve -17*v - 1184 = -19*d + 8*v - 2*v, -3*d - 2*v - 89 = 0 for d.
3
Solve -4*t - 5 + 17 = 2*q + 16, -5*q - 80 = -4*t for q.
-12
Solve -15 = b + w, 60*w - 110*w + 220 = -70*w for b.
-4
Solve -1013*q + 1018*q = -43*t + 240, 2*t + 4*q = 30 for t.
5
Solve -2*h + 748*w = 746*w - 14, -61*h - w + 117 = 0 for h.
2
Solve 3*a + 78 = 9*i, 20882*i - 20881*i + 3*a = 2*a - 18 for i.
2
Solve -2*c + 1 = -3*h - 1, -3*h = c - 29 + 37 for c.
-2
Solve 3495*i + 22 = 3496*i + 5*b, -5*b = -96*i + 1142 for i.
12
Solve 7*f - j - 346 = 0, -8035*f - 234 = -8040*f + 4*j for f.
50
Solve -16*q + 795 = -x, -3*q - 308 + 74 = -5*x - 4*q - 159 for x.
5
Solve -3*c - u - 2 + 10 = -2 - 0, -c = 5*u + 6 for c.
4
Solve -8*u + 5*s + 35 - 122 = 0, 2*u = -5*s - 455 + 452 for u.
-9
Solve 47 = 5*h + 2*k, 3811*h + 4*k - 118 = 3809*h for h.
-3
Solve 4*w - 1 = l + 13 + 7, -4*w - 1078 = -3*l - 1093 for w.
6
Solve 3*m = -7*i + 9844 - 9852, -m + 24 = -3*i for m.
9
Solve 39*d + 692*s - 695*s = -147, -35 = 5*d + 4*s + s for d.
-4
Solve 3*p + 183 = -3*l + 81, 82*p - 78*p = l + 49 for l.
-37
Solve 2*l - 4*z + 7*z - z = -7*z + 13, -5 = -5*z for l.
2
Solve -4*b - 2553 + 2501 = 5*i, 4*b = -6*i - 56 for i.
-4
Solve -192*b + 194*b = 4*f + 16, -3*b - 9*f - 21 = 0 for b.
2
Solve 4*d + 183 = 5*i, -32331*i + 32330*i + 54 = 5*d for d.
3
Solve v + 86 = -26*k, -289*k + 5*v + 34 = -287*k for k.
-3
Solve -o + 167 = 2*o - 86*h + 57*h + 24*h, -43 = -3*o + h for o.
4
Solve -2*a + 37 = 3*q, -8*a + 5*a + q + 51 = 5*q for a.
5
Solve -5*v - 3*p = 119, -p + 8*p = 13*v + 5*p + 329 for v.
-25
Solve 3*j + 2*k + 29 = 0, 191*j - 3*k = 205*j + 148 for j.
-11
Solve -61*t - 12 - 80 = -2*q - 66*t, -30*q + 26*q - 5*t = -164 for q.
36
Solve -4*a + 258 = -8*a + 3*z + 8*z, 0 = 2*a - 4*z + 96 for a.
-4
Solve 2*x - 1 = x + n, 1108*x + 4 = 1109*x + 2*n for x.
2
Solve 0 = -u - u - 17*c + 50, 2*u = 6*u - 15*c + 10*c + 56 for u.
-9
Solve -395952*o + 2*i = -395950*o + 5*i + 17, -55*o - 5*i - 545 = 0 for o.
-10
Solve -10*n + 123 = -16*n - 5*c, -3*c - 369 = 20*n for n.
-18
Solve 5*o - 20*n - 18*n + 39*n = -75, 33*o + 457 = n for o.
-14
Solve y + 28 = 4*q, -10*q + 83341 - 83269 = -2*y for y.
4
Solve l - 41600 = -5*d - 41629, 0 = -5*l - 2*d - 30 for l.
-4
Solve 2*r = 10*z - 68, -8 - 18 = -42*z + 39*z - 5*r for z.
7
Solve 0 = -3*d - 4*y - 283, 0*d = d + 9*y + 100098 - 99996 for d.
-93
Solve 139*k + 10*j - 46 = 141*k + 3*j, -48 = -6*j for k.
5
Solve 5*h - 2*r = -0 + 32 - 17, 3*h - r = 10 for h.
5
Solve -s + 26 = 3*t, -t - t + 3690*s - 3693*s + 50 = 0 for t.
4
Solve -34*n + 37*n - 3 = 0, -3 + 2 = -2*k - 4*n - 3 for k.
-3
Solve 1701*p - 1706*p + 26*v = 22*v + 167, -4*p = 23*v + 55 for p.
-31
Solve 2*l - 4186 = 4*s - 4176, 2*l - 10 = -6*s for l.
5
Solve -17*k = -f + 338, 10*f - 4*f = 5*k + 10*f + 108 for k.
-20
Solve 3*h + h + 97 - 134 = -25*n, -2*n = 3*h - 11 for n.
1
Solve -10 = 3*r - 2*q + 5, -r - 126 + 370 = 27*q for r.
1
Solve -3*o - l - 36 = 3*o + 7*o - 15*o, o - 28 = 3*l for o.
16
Solve -u + t = 1455 - 1463, -2*u + 148 = -24*t for u.
2
Solve -5*b + 5837*f - 15 = 5832*f, 5*f - 57 = 19*b for b.
-3
Solve 3*f + 20 = 4*w + 5, w - 15 = 3*f for f.
-5
Solve 3*f - 18 = 0, 3*l + 17*f + 169 = 331 - 87 for l.
-9
Solve 2*o - 5*o - 94 = 5*a, 5*o + 59167*a = 59168*a + 2 for o.
-3
Solve 5*d + 710 = 16*u, -4*u - 5*d + 6*d = -0*d - 178 for u.
45
Solve 127*k - 1 = 5*y + 126*k - 11, 10 = -2*k for y.
1
Solve 5*t + 38 = -2*o + 2*t, 86*t - 6 = -o + 87*t for o.
-4
Solve -4*j + 202*k = 176*k + 22*k - 28, -k = 2*j + 10 for j.
-1
Solve 0 = -l - 5*o + 213, 138*l = 155*l + 2*o - 52 for l.
-2
Solve 4*b - 5*j = -28, 49 = 9*b + 15*b - 31*b + 3*j for b.
-7
Solve 18*u - 139 = 5*c, -807146*c + 11 = u - 807143*c for u.
8
Solve 5*x + 18 = -2*a, 71*x - a + 36 = 66*x for x.
-6
Solve 0 = 3*o - 6, -3*o + 8 = -a - 3*a + 2*a - 5*o + 22 for a.
5
Solve -b + b = 3*x + 6, 2*b - 35 - 9 = 17*x for b.
5
Solve -2*s + 3*s - 5*j - 49 = 2*s, 49*s = 54*s - 2*j + 2 for s.
-4
Solve -4*o + 3285*i - 435 = 3292*i, -313 = 4*o + 5*i for o.
-2
Solve 2*u - 20 + 16 + 6 - 20 = -2*h, 2*u + 12 = 4*h for h.
5
Solve 4*a - 176 = z + 3*z, -241*a + 49 = 4*z - 120*a - 120*a for z.
1
Solve -13 - 61 = 4*h + 9277*o - 9286*o, -4*h + 16 = 6*o for h.
-5
Solve 7545*z - 15083*z + 7543*z - 59 = 3*c, -2*c = -2*z + 42 for z.
-2
Solve 0 = -8*q + 10*b - 172 - 20, -3*q + b - 17 = 0 for q.
1
Solve -29 = -5*m + h, 13*h + 26 = -2*m - 3*m - 128 + 57 for m.
4
Solve 5*c + 0*c = -29*a + 2*c - 1354, c - 3 = 0 for a.
-47
Solve -5*f - 20*s = 125, 49*f + 79 = 54*f + 4*s + 108 for f.
-1
Solve 0 = -h + 5*b + 60, -h + 3*b = 14565 - 14599 for h.
-5
Solve 0 = -2*p + 5*v + 45, -99 = -5*p + 149*v - 150*v for p.
20
Solve -4*y - 13*o + 131 = 0, -4*y - 3791*o + 77 = 3794*o - 7590*o for y.
23
Solve 8*a - 106 + 12 = -11*s, 2*s = a + 4*a - 41 for s.
2
Solve 14*k - 3*k = x - 0*x + x - 4, -4*x = 3*k - 58 for k.
2
Solve -129*x = -4*k + 156 + 535, 4*k + 2*x + 2*x - 292 = 0 for k.
76
Solve 0 = -3*r + 3*i - 27, 3*i = -35*r + 17*r - 0*i - 78 for r.
-5
Solve -9847338*z - 3*f - 10 = -9847339*z, -6 = -3*z - 3*f for z.
4
Solve 3*n = 4*r + 30 - 148, 21*n + 5*r - 96 = -n - 0*r for n.
-2
Solve -20 - 15 = -5*z + 4*k, 58 + 77 - 148 = 4*z + 5*k for z.
3
Solve -7*f = 7*j - 35, 0 = -11*f + 6*f + 5*j - 8*j + 11 for f.
-2
Solve -4*v = -w - 258460 + 258464, -5*v - w = -4 for v.
0
Solve -2*u + 816 = -11*f - 5*u, 3*u - 275 - 34 = 4*f for f.
-75
Solve 3*t - u - u - 33 = 0, 4*t - 6*u + 2*u - 60 = 0 for t.
3
Solve 0 = -7*p - 4*l - 60, -2*l + 22 = -1441*p + 1438*p for p.
-8
Solve v + 26 = 4*u, 2434*v = 2433*v - 31*u + 219 for v.
2
Solve -2*h + 80 = -h + 3*u, 89*h - u + 25 = -71*h + 162*h for h.
-1
Solve 0 = -4*u + 3*s - 23, -2 = 27*u - 30*s + 24*s + 82 for u.
-2
Solve -2*s + 3 = -47430*r + 47427*r, 21*s - 5*r - 58 = 0 for s.
3
Solve 3*b = 4*b + 4*o
|
{
"pile_set_name": "DM Mathematics"
}
|
= 5*q**2 - 11. Let u(f) = f + 13. Let k = -1 + -8. What is the remainder when i(-3) is divided by u(k)?
2
Suppose 5*m - 2*m = 0. Suppose m*z - 6 = -2*z, -b + 18 = 3*z. What is the remainder when (-2)/(-12) - 933/(-18) is divided by b?
7
Let j(a) = a**3 + 13*a**2 - 105*a + 8. Calculate the remainder when j(-18) is divided by 59.
42
Let g = 2358 - 2307. What is the remainder when 2292 is divided by g?
48
Let w(u) = u + 2*u**2 - u**2 + 2*u + 2. Let g(t) = -t**3 + 6*t**2 - 12*t + 129. Let j be g(7). What is the remainder when 15 is divided by w(j)?
3
Let h be ((-593)/(-12) - 8/(-32))*3. Let w = -136 + h. Calculate the remainder when -3*((-280)/(-6))/(-4) is divided by w.
9
Let i = -17 + 28. Suppose -6 = 30*c - 516. What is the remainder when c is divided by i?
6
Calculate the remainder when 1923 is divided by ((-175)/30 - -8)*294.
12
Let d = -15396 + 15667. What is the remainder when d is divided by 100?
71
Let z(p) = 5*p**2 + 0 + 9 + p + 3*p. Let u be z(-3). What is the remainder when 76 is divided by (-4)/6*3 + u?
36
Let r = 20246 - 20224. What is the remainder when 2441 is divided by r?
21
Let b(t) = t + 23. Suppose 479*q = 3*i + 483*q - 271, 2*i - 2*q - 134 = 0. Calculate the remainder when i is divided by b(0).
8
Let r(g) = g**3 - 6*g**2 - 6*g - 6. Let b be r(7). Calculate the remainder when 456/18 - b/3 is divided by 3 - -1 - (-3 + 0).
4
Calculate the remainder when (2 + (22 - 18/2))*78/10 is divided by 16.
5
Let y(j) = -16*j - 30. Let n(a) = -a - 15. Let w be n(-6). Calculate the remainder when y(w) is divided by 8/12*(-174)/(-4).
27
Let q be 5/((-15)/(-10) - -1). Suppose -335 = -q*l - 305. Calculate the remainder when 113 is divided by l.
8
Let x = 4 + 5. Suppose 8*y = -5*a + 3*y + 460, -y = 4*a - 371. Suppose a*g - 366 = 87*g. What is the remainder when g is divided by x?
7
Let y be (-4)/(-10) + 76/10. Let s be 345/60 + 2/y. Suppose 0 = 3*w + s - 81. What is the remainder when w is divided by 7?
4
Let g(x) be the second derivative of x**5/20 + 3*x**4/4 - 2*x**3/3 + 11*x**2/2 + 195*x. Calculate the remainder when g(-7) is divided by 16.
9
Let o = 26083 - 25432. What is the remainder when o is divided by 131?
127
Suppose 1752 = -5*g + 13*g. Suppose -5*h = -3*x - g, 0 = 5*h + 2*x - 95 - 109. Let c = h - 17. What is the remainder when c is divided by 3?
1
Let m be (-46)/(-7) - (-48)/112. Let s(f) = -2*f + 37. What is the remainder when 43 is divided by s(m)?
20
Suppose 13*l + 8*l - 2016 = 0. Let k = -84 + l. What is the remainder when 23 is divided by k?
11
Suppose 0 = -o + 248 - 197 + 187. What is the remainder when o is divided by 113?
12
Let s(v) = v**3 + 8*v**2 - 18*v - 28. Let u = -140 - -131. What is the remainder when 174 is divided by s(u)?
15
Suppose -3*l - 2*y + 56 = 0, 5*y - 59 = l - 4*l. Suppose 20*p = l*p + 12. Let r = 12 - p. Calculate the remainder when 17 is divided by r.
5
Let k be (-18 - 1) + 5/(-15)*3. Let j = k - -21. What is the remainder when 39 is divided by 4/1*(j + 1)?
7
What is the remainder when ((-152)/57)/((-36)/16119) is divided by 301?
291
Let g(p) = p**2 + 9*p + 17. Suppose 3*l = 4*d + 51, 46 = -4*d - 0*l + 2*l. What is the remainder when 99 is divided by g(d)?
14
Let t(d) = -d**3 - 3*d**2 + 9*d - 2. Let c be t(-5). Suppose -c*h - 330 = -14*h. Let l = 171 - 24. What is the remainder when l is divided by h?
27
Suppose -3*n + 742 = 4*l, 24*n - 3*l - 489 = 22*n. Calculate the remainder when 254 is divided by n.
8
Let d = -241 - -118. Let v = d - -163. What is the remainder when 87 is divided by v?
7
Let s = 4327 - 4105. Calculate the remainder when 432 is divided by s.
210
Suppose 4*w = g - 1, 0*w = -w + 2. Let m be (g/(-6))/((-15)/40). Suppose -111 = -m*a + 3*z, 28 = 2*a + 5*z + 5. Calculate the remainder when a is divided by 16.
8
Let j(l) = 65*l**2 + 77*l - 206. What is the remainder when j(5) is divided by 140?
124
Suppose -2*w + 28 - 22 = 0, -3*m + 3*w = -435. Calculate the remainder when m is divided by 17.
12
Let n = 2816 + -2708. What is the remainder when 645 is divided by n?
105
Let b(t) = t**2 - 106*t - 777. What is the remainder when 23 is divided by b(113)?
9
What is the remainder when 1133 is divided by (107 - 108)*-6*94?
5
Suppose 35 - 85 = 35*f + 55. Let v be 3*(-2)/(4/2). Calculate the remainder when 31 is divided by -1*(f - 8) + (-3 - v).
9
Let l(u) = 69*u - 55. Let t be l(4). Let n = 380 - t. What is the remainder when n is divided by 9?
6
Suppose -35*s + 317 = -711 + 48. Let f = -5 + 13. What is the remainder when s is divided by f?
4
Suppose 2*x + j = 1843, -5*x + 4609 = -268*j + 271*j. Calculate the remainder when x is divided by 69.
23
What is the remainder when 2526 is divided by 174/(-90)*-69 + (-6)/15?
132
Suppose 3*n - 17 = h, -9*h = -10*h + 1. Calculate the remainder when 254 is divided by ((-7)/((-70)/85))/(1/n).
50
Let t(k) = 88*k**3 + 4*k**2 + 4*k - 2. What is the remainder when t(1) is divided by 12?
10
Suppose 2*i + 1320 = 7*i. Suppose 5*g - i = -x - 0*x, 3*g = 5*x + 164. Calculate the remainder when g is divided by 31.
22
Let k = 13099 + -13008. What is the remainder when 999 is divided by k?
89
Let t(h) = -h - 3. Let d(u) = 3*u + 5. Let v(s) = 6*d(s) + 10*t(s). Suppose 30 = -9*i + 228. Calculate the remainder when v(5) is divided by i.
18
Let k(c) = c**2 - 7*c - 2. Let b be k(10). Suppose t = 3*y + b, -3*y = -4*t + 5*t - 52. Let j = t - -7. What is the remainder when j is divided by 7?
5
Let r(b) = 253*b + 2544. Calculate the remainder when (-410)/3*6/(-5) is divided by r(-10).
10
What is the remainder when 7235 is divided by (-2 + 10/(-1))/((722/57)/(-19))?
17
Let t(h) = -13*h - 263. Let o = -2 + 8. What is the remainder when t(-21) is divided by o?
4
What is the remainder when (-198135)/(-425) - 11/5 is divided by 26?
22
Suppose -3*v + 87 = -3*x, 0 = -4*v - 453*x + 448*x + 98. Calculate the remainder when v is divided by (0 + -1 - -15) + -3.
5
Let j(i) = -i**3 - i**2 + 55*i + 174. Let x = 208 + -54. Calculate the remainder when x is divided by j(-3).
19
Let d = 274 + -269. Suppose s + 3*z = 23, -6*z = 5*s - d*z - 115. Let p(l) = l**2 - 6*l - 12. What is the remainder when p(11) is divided by s?
20
Let a = 383 - -1773. What is the remainder when a is divided by 103?
96
Suppose -5*t + 494 = c, 5*t - 2417 = -5*c - 47. Suppose 266 = -z + c. What is the remainder when z is divided by 17?
16
Let r(g) = 36*g - 87. Let h = 105 + -100. Calculate the remainder when r(h) is divided by 8.
5
Let j = 234 + -233. What is the remainder when 231 is divided by -3 - (-174*j)/6?
23
Let m = -47384 - -47392. Let o(h) = -2*h**2 - 3*h + 1. Let n be o(-3). What is the remainder when m is divided by 46/8 - 2/n?
2
Let i = 8874 - 8672. What is the remainder when i is divided by 3?
1
Suppose -4*a = 2*q - 37 + 5, 0 = -4*q + 3*a + 42. What is the remainder when 1703 is divided by q?
11
Let d = 7451 + -7282. What is the remainder when d is divided by 64?
41
Suppose 4*n - 1622 = -4*o + 1074, -n - 2*o + 678 = 0. Suppose 189*t = 184*t + n. What is the remainder when t is divided by 3?
2
Suppose 1501 - 431 = -5*h. Calculate the remainder when (h/(-7))/((-23)/(-161)) is divided by 36.
34
Suppose 10*u + 80*k - 500 = 75*k, -295 = -5*u + 5*k. Calculate the remainder when 852 is divided by u.
4
Suppose 0 = -35*k + 534798 + 294002. Calculate the remainder when k is divided by 11.
8
Suppose -2309 = -17*t - 167. Let l = -89 + t. What is the remainder when l is divided by 7?
2
Suppose 29 = -3*l + 41. Suppose -12 = -2*p - o, -5*p - l*o + 5*o = -30. Calculate the remainder when 19 is divided by p.
1
Suppose -8 = 20*n - 18*n. Let k be ((-8)/8)/(2/n*2). What is the remainder when 262 is divided by (12 + -13)/(k/(-53))?
50
Suppose 5*n = -5*r + 2640, 0 = -0*n + 5*n - 3*r - 2648. Suppose 0 = 15*t + 8*t - n. What is the remainder when 319 is divided by t?
20
Let w = 1679 - 1668. Suppose 5*i - n = 3*n - 16, 4*i + 5*n - 20 = 0. Suppose -2*t + i*x = 2*x - 62, 5*x = 0. What is the remainder when t is divided by w?
9
Let u(r) = r**3 - 9*r**2 + 37. Let m be 14 - (10 + (-2 - 3)). Calculate the remainder when 105 is divided by u(m).
31
Let d(j) = -4*j + 23. Let o(h) = 190*h**3 - h**2 - 6*h + 6. Calculate the remainder when o(1) is divided by d(-7).
36
Let a = 1 + 4. Suppose 6*q - 2*q = -5*s + 161, a*q + 5 = 0. What is the remainder
|
{
"pile_set_name": "DM Mathematics"
}
|
*x**4 - 12*x**2 + 0. Factor j(m).
-4*(m + 2)*(m + 3)
Let d = -57158 - -57158. Find r such that d + 2/13*r**2 + 2/13*r = 0.
-1, 0
Let u(m) be the third derivative of m**5/45 - 41*m**4/9 + 3362*m**3/9 - 135*m**2. Find l, given that u(l) = 0.
41
Let l(h) be the first derivative of -1/20*h**5 + 0*h - 1/4*h**2 - 15 + 1/8*h**4 + 1/12*h**3. What is x in l(x) = 0?
-1, 0, 1, 2
Let u(g) be the first derivative of -19 + 2/5*g**3 + 1/10*g**6 + 0*g + 0*g**4 - 6/25*g**5 - 3/10*g**2. Factor u(w).
3*w*(w - 1)**3*(w + 1)/5
Let f be (1 - 1)*7/(-14) + 2. Factor -19*j**2 - 5*j**3 + 3*j**f + 3*j**2 - 2*j**2 - 10*j.
-5*j*(j + 1)*(j + 2)
Suppose 138*z - 127*z - 22 = 0. Find a, given that 0*a + 1/8 - 3/8*a**4 - 3/4*a**z + a**3 = 0.
-1/3, 1
Let y(z) be the first derivative of -3*z**3 - 30*z**2 - 78. Solve y(d) = 0.
-20/3, 0
Let z(j) be the third derivative of j**5/15 + 13*j**4/6 + 44*j**3/3 - 4*j**2 - 27*j. Factor z(v).
4*(v + 2)*(v + 11)
Let v(c) be the second derivative of c**6/150 + c**5/25 - c**4/20 - 3*c**3/5 - 111*c. Factor v(t).
t*(t - 2)*(t + 3)**2/5
Let o = 143 + -139. Let p(c) be the first derivative of -1/6*c**4 - 2/9*c**3 + 2/3*c**2 + 0*c - o. Determine m, given that p(m) = 0.
-2, 0, 1
Factor 64/7*r + 4/7*r**5 + 4/7*r**3 + 24/7*r**4 - 96/7*r**2 + 0.
4*r*(r - 1)**2*(r + 4)**2/7
Determine y, given that -85*y**2 - 50*y**4 - 38*y**2 + 180 - 60*y**3 + 165*y - 100*y**3 + 0*y**5 - 7*y**2 - 5*y**5 = 0.
-4, -3, -1, 1
Let s(h) = -h**2 - 23*h - 28. Let j(t) = -4*t**2 - 95*t - 111. Let g(c) = -2*j(c) + 9*s(c). Factor g(u).
-(u + 2)*(u + 15)
Let a(b) be the second derivative of b**6/1620 + b**5/270 - 2*b**4/27 + b**3/2 - 3*b**2/2 + 25*b + 2. Let o(q) be the second derivative of a(q). Factor o(d).
2*(d - 2)*(d + 4)/9
Let a(o) be the third derivative of o**6/120 + o**5/4 - 3*o**4 + 38*o**3/3 - 501*o**2. Factor a(d).
(d - 2)**2*(d + 19)
Let t(u) = 19*u**3 + 298*u**2 + 14*u - 7. Let b(g) = -6*g**3 - 100*g**2 - 4*g + 2. Let y(j) = 7*b(j) + 2*t(j). Let y(l) = 0. What is l?
-26, 0
Let n(d) = d**3 + 26*d**2 + 114*d + 1039. Let v be n(-23). Find i such that 0 - 2/3*i**3 + 1/3*i**v + 1/3*i**2 + 0*i = 0.
0, 1
Let s(k) be the first derivative of 8/21*k**3 - 5/7*k**2 + 1 + 2/7*k. Factor s(p).
2*(p - 1)*(4*p - 1)/7
Let z = 39 - 41. Let p(u) = u**2 - 11*u - 7. Let h(n) = 4*n + 2. Let k(i) = z*p(i) - 7*h(i). Find f, given that k(f) = 0.
-3, 0
Let h = -2088 + 2088. Factor h + 0*d + d**2 + 1/2*d**3.
d**2*(d + 2)/2
Determine b so that -350 + 10*b + 45*b**4 + 2*b**3 + 23*b**3 - 45*b**2 - 35*b**5 + 350 = 0.
-1, 0, 2/7, 1
Let d be (-16)/(-44)*(-110)/(-20). Factor -46/5*b - 12/5 - 14/5*b**d.
-2*(b + 3)*(7*b + 2)/5
Let g(r) be the second derivative of -3*r + 0*r**3 + 0 + 2*r**2 + 1/240*r**6 + 1/12*r**4 - 1/30*r**5. Let z(a) be the first derivative of g(a). Factor z(f).
f*(f - 2)**2/2
Let c be 36/(-8)*4/(-3). Let j = -33 - -42. Suppose c*d**2 + 6*d**3 + j*d + 2 - 4*d**3 - 3*d = 0. Calculate d.
-1
Let r = -6 + 15. Let q = r + -4. Factor -3*p**5 - 3*p**3 + 6*p**4 - p**5 + p**q.
-3*p**3*(p - 1)**2
Let t(d) be the third derivative of -d**7/24 + d**6/8 - d**5/12 - 17*d**3/3 - 45*d**2. Let s(a) be the first derivative of t(a). Factor s(g).
-5*g*(g - 1)*(7*g - 2)
Let p be (-29)/(-29) + (1 - 0)*22. Factor -23*u + 5 + 5*u**2 + 36*u - p*u.
5*(u - 1)**2
Let a(c) be the second derivative of -5*c**4/12 - 25*c**3/6 - 10*c**2 - 7*c + 1. Find z, given that a(z) = 0.
-4, -1
Let o = -489/4 - -26903/220. Let d = 169/110 - o. Factor -q - 2 + 5/4*q**3 + d*q**2 + 1/4*q**4.
(q - 1)*(q + 2)**3/4
Let p(o) be the second derivative of 3*o**4/10 + 44*o**3/15 - o**2 + o + 15. Factor p(f).
2*(f + 5)*(9*f - 1)/5
Let m(j) be the second derivative of 0*j**3 + 2/21*j**7 + 2/15*j**6 + 0*j**4 + 0*j**5 + 16*j + 0*j**2 + 0. Factor m(g).
4*g**4*(g + 1)
Let g(q) = -2*q + 18. Let j be g(8). Factor -40*b**5 + 37*b**5 - b**2 + 9*b**3 + 7*b**j.
-3*b**2*(b - 2)*(b + 1)**2
Let z(b) be the second derivative of -5*b**4/12 + 25*b**3/6 - 10*b**2 + 465*b. Solve z(y) = 0.
1, 4
Let t(f) = -8*f**2 - f. Let c(s) = 42*s**2 + 749*s + 69192. Let y(n) = c(n) + 5*t(n). Solve y(m) = 0 for m.
-186
What is b in -34/3*b - 32/3 + 62/3*b**2 + 4/3*b**3 = 0?
-16, -1/2, 1
Let x be (-362)/(-28) - ((-1392)/(-112) + -12). Factor 1/2*c**2 + x + 5*c.
(c + 5)**2/2
Suppose -5*t = 10, 4*w - t - 6 = 3*w. Let r(x) be the third derivative of -6*x**2 + 0*x**w + 1/30*x**6 + 0 + 0*x + 0*x**3 + 2/15*x**5. Factor r(g).
4*g**2*(g + 2)
Let f be ((-1678)/(-98) - 17)/(1/7). Let k = 4 + -1. Let 24/7*x**4 + 0 - 2*x**5 + 0*x - f*x**k - 4/7*x**2 = 0. What is x?
-2/7, 0, 1
Let c(x) be the second derivative of -3*x**6/40 - x**5/10 + 3*x**4/8 + x**3 - 17*x**2/2 + 6*x. Let t(a) be the first derivative of c(a). Solve t(w) = 0.
-1, -2/3, 1
Factor 5/8*o**2 - 1/8 - 1/2*o.
(o - 1)*(5*o + 1)/8
Let x(z) be the third derivative of -z**5/100 - z**4/5 - 8*z**3/5 - 5*z**2 + z. Factor x(c).
-3*(c + 4)**2/5
Suppose -t + 2*z - 1 = 3, 0 = 2*t - 3*z + 3. Let 5 - 2*i**2 - 13 - 8*i**2 - 12*i + t*i**2 = 0. What is i?
-2, -1
Factor -296*i + 101*i - 35*i**2 - 3 + 39 - 5 + 59.
-5*(i + 6)*(7*i - 3)
Let s be 19/4 + (-12)/(-48). Let y(m) be the first derivative of 2*m - 2*m**2 + 2/3*m**3 + s. Factor y(t).
2*(t - 1)**2
Let p(r) = 8*r**3 - 103*r**2 + 188*r - 93. Let a(l) = -105*l**3 + 1340*l**2 - 2445*l + 1210. Let d(v) = 3*a(v) + 40*p(v). Solve d(f) = 0 for f.
1, 18
Let u(o) be the first derivative of 11*o**6/900 - 13*o**5/300 + o**4/30 - 3*o**3 + 13. Let h(t) be the third derivative of u(t). Suppose h(f) = 0. What is f?
2/11, 1
Find u such that -1/6*u**4 + 0*u + u**3 + 8/3*u**2 + 0 = 0.
-2, 0, 8
Let j(t) = -7*t**3 - 8*t**2 + 19*t + 15. Let a(m) = -4*m**3 - 4*m**2 + 10*m + 7. Let k(n) = 5*a(n) - 3*j(n). Suppose k(o) = 0. Calculate o.
-5, -1, 2
Let b(r) = -r**2 - r + 5. Suppose 0*j = -3*j + 21. Suppose -j - 18 = 5*g. Let s(c) = -1. Let y(x) = g*s(x) - b(x). Factor y(p).
p*(p + 1)
Let q be (8/(-5))/(2/(-5)). Let o be (-6)/12 - -2 - 6/q. Suppose -s**4 + 0*s + 0 - 2/3*s**3 + o*s**2 - 1/3*s**5 = 0. What is s?
-2, -1, 0
Let o be -18*40/(-300) + (4 - 0). Factor o*z**2 + 0*z - 2/5.
2*(4*z - 1)*(4*z + 1)/5
Let h = 76 + -73. Let i(s) be the second derivative of -2*s + 0*s**2 + 1/30*s**5 + 1/9*s**4 + 0 + 1/9*s**h. Factor i(d).
2*d*(d + 1)**2/3
Let g(t) be the first derivative of -7 - 3/16*t**4 + 15/8*t**2 + 3/4*t**3 - 3/20*t**5 + 3/2*t. Find u, given that g(u) = 0.
-1, 2
Suppose -5*w - 20 = 0, w - 2*w = -2*t + 12. Let i be t/(16/12)*6/9. Factor 3/2 - o - 1/2*o**i.
-(o - 1)*(o + 3)/2
Let q(f) be the second derivative of -5*f**4/6 + 25*f**3/2 + 20*f**2 - 215*f. Factor q(a).
-5*(a - 8)*(2*a + 1)
Let v(k) be the first derivative of -2*k**5/75 - 4*k**4 - 7436*k**3/45 - 472*k**2 - 6962*k/15 + 472. Factor v(y).
-2*(y + 1)**2*(y + 59)**2/15
Suppose 243*m - 245*m + 204 = 0. Let l = -203/2 + m. Factor 4/3*b**4 + 7/6*b**3 + 0 + l*b**5 + 0*b + 1/3*b**2.
b**2*(b + 1)**2*(3*b + 2)/6
Let s(q) be the first derivative of q**4/4 + 16*q**3/3 + 8*q**2 + 18*q + 4. Let a be s(-15). Factor 0*k**3 + 6*k + 12*k**2 + 4*k - k + 3*k**a.
3*k*(k + 1)*(k + 3)
Suppose 67 = a - 216*a + 497. Determine y, given that 20 + 1/5*y**a - 4*y = 0.
10
Let y(q) be the second derivative of 0*q**2 + 0 + 0*q**3 + 1/33*q**4 + 1/110*q**5 - 9*q. Suppose y(z) = 0. What is z?
-2, 0
Let i(f) be the third derivative of f**5/12 - 5*f**4/12 + 5*f**3/6 - 68*f**2. Solve i(g) = 0.
1
Let c(s) be the second derivative of -s**5/35 + 4*s**4/21 - 10*s**3/21 + 4*s**2/7 + 15*s - 2. Factor c(d).
-4*(d - 2)*(d - 1)**2/7
Let p = -1435 - -30137/21. Find j such that 0*j**3 + 2/21*j**2 + 0 - p*j**4 + 0*j = 0.
-1, 0, 1
Let o be (-4)/(-4) - (-102)/(-93). Let x = 49/186 + o. Factor 0*d + x*d**2 + 0.
d**2/6
Let j(g) = -g**3 - 2*g**2 + 2*g + 6. Let v be j(0). Let z(x) be the second derivative of -v*x**2 - 77/4*x**4 + 147/20*x**5 + 16*x**3 + 0 + 6*x. Solve z(y) = 0.
2/7, 1
Suppose 5*c**3 - 39*c**3 + 21*c**3 + 15*c**3 + 44*c**2 = 0. What is c?
-22, 0
Let k(t) be the first derivative of 88/51*t**3 + 4/85*t**5 - 12/17*t + 10 - 21/17*t**4 - 5/17*t**2 + 7/51*t**6. Let k(c) = 0. Calculate c.
-3, -2/7, 1
Suppose -4 = 4*i, -f + 4 + 2 = -2*i. Let v = 2 + f. Factor 2*h**2 - 5 - 5*h**2 + v*h + 14.
-3*(h - 3)*(h + 1)
Let k(n) be the first derivative of -n**7/168 + n**6/72 + n**5/6 - 5*n**4/6 - 5*n**3/3 - 6.
|
{
"pile_set_name": "DM Mathematics"
}
|
Let w be 9/((-297)/(-1298)) + (-5)/(-3). Solve -18*y = -95 + w for y.
3
Let r be 5/(22/3 - 7). Let h(z) = z**3 - 11*z**2 - 11*z - 11. Let a be h(12). Let w be a + (-3 - r/(-5)). Solve 2*y - w - 7 = 0 for y.
4
Let l = 20438 + -17393. Solve -4 = -3041*g + l*g for g.
-1
Let d(l) = -l + 4. Let q be d(6). Let r(v) = -v**3 + 2*v - 1. Let x be r(q). Solve -x*t + 15 = -0*t for t.
5
Let z(v) = 3*v - 3. Suppose -4*r = -2*k + 18, 2*r + 12 = 2*k - 0*r. Let a be z(k). Let o = -813 + 813. Solve -b + 3*b + a = o for b.
-3
Suppose -3*u - 4 + 13 = 0. Suppose 10 = 6*n - n + u*k, -4*n + 15 = k. Let q be 22*(n + -4) + 4. Solve 4*t = q - 10 for t.
4
Suppose m - 3*a - 25 - 16 = 0, 3*a = 5*m - 253. Let v = -48 + m. Suppose v*d = -d + 72. Solve -3*p - d = -3 for p.
-3
Let r(b) = -39*b + 536. Let g be r(13). Solve g*m = 9*m - 120 for m.
-6
Suppose 0 = -4*a - 0. Let l be (2/4)/(2*3/(-564)). Let j = l + 78. Solve a = -5*v + 11 - j for v.
-4
Let b(p) = -9*p**2 - 21*p + 14. Let j(s) = s**3 + s**2 - s + 1. Let x(f) = -b(f) - j(f). Let z be x(10). Solve -9*i + 4*i = -z for i.
1
Let n = 1285 - 1282. Solve n*a = -11*a for a.
0
Let h be 40/8 + -11 + 6. Solve -43*p + 38 + 48 = h for p.
2
Let h be 1 - ((-7504)/64 - (-3)/12). Solve -102 + h = -8*o for o.
-2
Suppose -16*c + 44*c - 2225 = -2029. Solve c*m = -13*m - 37*m for m.
0
Suppose -3*l + 367 + 253 = -5*g, g + 1070 = 5*l. Solve 11*w + l = 54*w for w.
5
Let s = 447 - 719. Let k = s - -279. Solve k*x + 2*x = x for x.
0
Suppose 4*f - 106*o - 60 = -111*o, 3*o = 5*f - 1. Solve -f*h - h = -6 for h.
1
Let w be (-30)/24 + (-1)/(-4) + 22. Suppose -5*n - w + 56 = 0. Suppose 3*a - n*a = 0. Solve a = c + 3*c - 20 for c.
5
Let j be (-45)/12*-3*(-16)/(-18). Suppose 10*h - 5*h - j = 0. Suppose n + 7 = h*x, -3*n = -3*x - 7*n - 17. Solve 2 + x = 3*m for m.
1
Suppose 20*t - 217 = 13*t. Suppose 7*a - t = 32. Solve -4*k + a = 25 for k.
-4
Let h be 91/4 - 2/(-8). Suppose -3*v = 3*w - 9, 5*v - 6*w + 3*w = h. Solve -v*f - 9 = -25 for f.
4
Suppose -5*b - 15 = -2*b. Let f be 20/b*(-1)/1. Let g = -2279 - -2288. Solve f*q + 1 = g for q.
2
Suppose 0 = 13*h - 17*h + 12, -2*h = -5*j - 26. Let o be 15 + -3 + (0/j - -2). Solve 23 = 3*u + o for u.
3
Let x = 991 + -972. Solve x*o - 7*o - 48 = 0 for o.
4
Let o(h) = 5*h**2 + 15*h - 14. Let d be o(-7). Let x = -126 + d. Solve 6*g - 3*g = x for g.
0
Suppose 182870*o - 182862*o = 896. Solve 13*q = 27*q + o for q.
-8
Let j be (-24)/(-30) - 116/20. Let d be (-2)/9 - (705/27)/j. Solve 3*q - d = 1 for q.
2
Let f(p) = 188*p + 6878. Let h be f(-36). Solve 9*o - h*o = 101 for o.
-1
Let p(v) = 236*v**2 + 3*v - 4 - 234*v**2 + v**3 + 13. Let d be p(-2). Let s be 6*(-2 + 14/6). Solve 0 = d*t + 4 + s for t.
-2
Suppose 0 = 16*c - 19*c - 99. Let g be (-42)/(-11) + ((-12)/c)/2. Solve g = -2*x - 2 for x.
-3
Let h be 182/7 + 5/(-1). Let x be 0/(11/((-66)/12)). Solve x*b + h = 7*b for b.
3
Let m be (-6 + 2)/(40/(-50)). Suppose -m*i - 3*n = -40, n = -3*i + 33 - 9. Solve -6*o - 4 = i for o.
-2
Let p(a) = -a - 2. Let u be p(-7). Let w(i) = 8*i - 134. Let s be w(18). Solve -y + u - s = 0 for y.
-5
Suppose 2*q = q + 5. Let k(l) = -q*l + 13 - 18 + 3*l + 13. Let d be k(3). Solve -1 = -3*b + d for b.
1
Suppose -60 = -2*v - 4*p, v + 3*v - 111 = p. Solve 19*w - v = 48 for w.
4
Let s = -622 + 622. Solve 2*n + 26 - 16 = s for n.
-5
Suppose -272 = 752*y + 746*y - 1506*y. Solve y*t - 2*t = 160 for t.
5
Let j(t) = t**3 - 8*t**2 - 6*t + 25. Let m be j(10). Suppose -c - m + 169 = 0. Solve -y + c = y for y.
2
Suppose -5*v - 942 = 6*f - 13*f, 2*f + v - 257 = 0. Solve -10*p = -f + 131 for p.
0
Let h = 4328 + -4289. Solve 0 + h = 13*c for c.
3
Suppose -2*i - 5*k - 106 = -140, 0 = 3*k + 12. Solve -628 + 574 = i*p for p.
-2
Let d(t) = 7*t**2 - 1. Let x = -42 - -45. Suppose 2*u - x*h = -0*u + 8, u + 3*h = -5. Let z be d(u). Solve -z = 5*a + 19 for a.
-5
Let x be 15 - (120/18 - (-3)/9). Solve 30 - 22 = -x*m for m.
-1
Let f be 1*(0 + -11 + -5)*517/(-22). Solve 23*p + 24*p = f for p.
8
Let h(f) = f**3 + f**2 + 445*f - 1351. Let c be h(3). Solve c*k + 2 = 2 for k.
0
Let l be 1*5 - (-113 + 115). Suppose -l*i - 202 = -274. Solve -40 + i = -4*m for m.
4
Let w = 66 - 105. Let r = 33 + w. Let q = -3 - r. Solve -3 = q*v + 9 for v.
-4
Let n(j) = -2*j + 21. Suppose 22*c - 18*c = 24. Let o be n(c). Suppose 3*r - 12 = h, -5*r = -h - 11 - o. Solve 2*f - r = 2 for f.
3
Let z(x) = 17*x**2 - 412*x - 1668. Let m be z(-4). Solve 38*s = -4*s + m for s.
6
Suppose 4*l - 8*x - 202 = -10*x, -3*x = 3*l - 144. Suppose -53 = c - 0*c. Let m = c + l. Solve m*v = v for v.
0
Let q = 17866 - 17753. Solve 8*g - q + 49 = 0 for g.
8
Let v = -3729 - -3740. Solve -v*k + 20 + 35 = 0 for k.
5
Let k(w) = -2*w**3 - 18*w**2 + 2*w - 16. Let i be k(-9). Let a = i + 36. Solve -4*x - 4 = -a*x for x.
-2
Let b(q) = 2*q**2 + 60*q - 57. Let s be b(-31). Suppose 2*h = 5*h - 9. Suppose -2*v + v + 10 = -s*x, h*x + 8 = v. Solve -v = o - 1 for o.
-4
Let q(h) = 3*h**2 + h - 22. Let a be q(8). Let p = a + -173. Solve -p*f = -10*f - 10 for f.
-2
Let k be (-1)/(-3)*(6 + 3). Let s = k + 1. Solve -5*l + s = -l for l.
1
Suppose -47*d + 5149 - 796 = -112. Solve 19*r = -d - 57 for r.
-8
Suppose -12*t + 13 = 13. Suppose -5*k - 11*k - 6*k = t. Solve d + k = -0 for d.
0
Suppose -191 + 563 = 4*t - 5*z, t + 5*z - 68 = 0. Solve 116*u - 127*u = -t for u.
8
Let z(u) = 4*u**2 - 60*u + 213. Let n be z(10). Solve -n*v + 20 = -8*v for v.
4
Let l be 3*1 + 4/((-16)/(-4)). Suppose -2*f + 3*s + 12 = -16, 5*s = l*f - 56. Let r = -2 + f. Solve -2*t + r = -6*t for t.
-3
Let t = 7311 + -6270. Solve -2*v + t - 1037 = 0 for v.
2
Let j(k) = 163*k - 5379. Let m be j(33). Solve -38*d + 30*d + 56 = m for d.
7
Let s = -12620 + 12622. Solve 8*q - 10 = -s*q for q.
1
Let x be 19/(-76) - 434/(-8) - (-40)/(-20). Solve -35*b = -48*b - x for b.
-4
Suppose -3*v + 4 = 4*k, 13*v - 11*v - k = -1. Suppose -2*y + 5*y - 45 = v. Suppose -18*j = y*j - 32*j. Solve j = 2*m - m - 3 for m.
3
Let j(x) = x**3 + 49*x**2 - 51*x + 1. Let m be j(-50). Suppose -36 = -m*s + 474. Solve -10 = 7*g - s for g.
0
Suppose 5*n - 3*i + 478 = 0, -4*n - 2*i + 82 - 460 = 0. Let t = 97 + n. Solve 0 = u - t - 1 for u.
3
Let l(x) = -2*x**3 + 12*x**2 - 10*x + 13. Let r be l(6). Let o = -44 - r. Let m(h) = h**3 + 5*h**2 - 2*h - 2. Let w be m(-5). Solve -o*g + g = -w for g.
4
Suppose -s + 28 = 3*h, -2*s - 5*h + 84 = 33. Suppose -3*q = -z + 17, -5*q + 2*q = z + s. Suppose -z + 11 = 3*y. Solve 0 = 7*c - y*c + 20 for c.
-5
Let a(q) = 2*q**2 - 19*q + 2. Let n be a(10). Suppose h = -2*c + n, -2*c = -5*h + 111 - 3. Solve -3*v + 7*v = h for v.
5
Let z(t) be the first derivative of t**3/3 + 3*t**2/2 + t - 2. Suppose 2*m = -7*m + m. Let j be z(m). Solve w + 2 = -j for w.
-3
Let r = 189 - 176. Suppose -11 = -r*v + 2*v. Solve 4*w = 5*w - v for w.
1
Let l(k) = -3*k**3 - 26*k**2 + 40*k + 340. Let y be l(-9). Solve -65*m + y*m - 24 = 0 for m.
-6
Suppose 2*f + 3*f + 5*b + 855 = 0, 4*f + 3*b = -681. Let h = -99 - f. Let d = h + -67. Solve -d*c = 7 + 1 for c.
-4
Suppose c = -k - 25, 3*c + 4 = k + 21. Let w be 678/(-30) - (-2)/(-5). Let s = w - k. Solve x + 2*x = s for x.
0
Suppose 975 = 178*v - 163*v. Solve 6*w + 7*w = v for w.
5
Suppose 2415 - 2874 = -3*v. Solve 150*l - 12 = v*l for l.
-4
Suppose 0 = -r - 2*s - 106 + 108, 5*r + 2*s = 74. Solve 0 = 4*a - r + 34 for a.
-4
Let j(p) = p**3 - p - 18. Let c be j(0). Let a(q) = -q**3 - 15*q**2 + 55*q + 25. Let v be a(c). Solve 3*x - v = -1 for x.
2
Let p be 5/(-2) - -1 - 12493/(-1922). Solve 0 = -23*l - p - 110 for l.
-5
Suppose -5*x + 2*u = -53, -2*x - 14*u + 17 = -19*u. Solve -x*t + 2*t = 36 for t.
-4
Let r(m) = 2*m + 2. Let c be r(2). Let a be 1/c*15 + 6/12. Solve -a*d = -6*d + 15 for d.
5
Let h be (2 - -50)/(0 + (-6)/(-6)). Let i be ((-1)/(-2))/((-2)/196). Let z = h + i. Solve z*c = -c - 8 for c.
-2
Suppose 105*j - 93*j - 1632 = 0. Let i = 146 - j. Solve i = -4*b - 10 for b.
-5
Let n = -616 + 621. Suppose -2*i - n*h = 20, 3*h = -4*i + 6*h + 12. Solve i*o = 7*o - 35 for o.
5
Let c(k) = 2*k**3 - 8*k**2 + 7*k - 1. Let q be c(3). Let r be (510/595)/(12/(-7) + q). Solve w = r + 1 for w.
4
Let m(g) = 3*g**2 - 123*g + 1. Let x be m(42). Solve x*z = 121*z + 24 for z.
4
Suppose -2*j + 4*c = 35 - 289, 0 = 3*j - c - 401. Let s = -134 + j. Solve -s = -u + 2 for u.
3
|
{
"pile_set_name": "DM Mathematics"
}
|
t f be -1 - -7*1/g. Which is smaller: f or 1?
f
Let u = -4.2 + 0.8. Let s = 4 + u. Let b = s - 0.56. Is 0 != b?
True
Let l = 19.4 - 20. Let v be 2/5 - (2 + -2). Is v >= l?
True
Let p(s) be the first derivative of -s**2/2 - 4*s + 4. Let u be p(-6). Let k be (4/18)/((-6)/(-9)). Is u <= k?
False
Let w = -8 - -5. Let k be 9/2*(-1 - w). Suppose -4*h = -k*h + 10. Which is greater: h or 4?
4
Let u(j) be the third derivative of j**5/60 - j**4/24 + 5*j**3/6 + 3*j**2. Let v(w) = -2*w**2 + w - 9. Let i(x) = -7*u(x) - 4*v(x). Let a be i(-2). Is -2/5 > a?
True
Let j = 0.3 - 0.1. Let k = -0.14 + 0.04. Let i = k + j. Which is bigger: i or -0.3?
i
Suppose -5*m = -246 + 26. Let d be -2 - (m/3 - 2). Let t = d + 14. Which is smaller: 0 or t?
t
Suppose 4*j + 2*u + 20 = 0, 8 = 4*j + 4*u + 32. Let i be ((-1)/(-2))/(j/(-8)). Let r = i + 0. Is -1/7 bigger than r?
False
Let m be (-3)/(-5) + 603/45. Is 44/3 > m?
True
Let g(p) = -p**2 - 6*p - 6. Suppose 3*q = -15 - 0. Let h be g(q). Which is bigger: h or 1?
1
Let l = -49 - -25. Which is smaller: l or -23?
l
Let y be 3 - -1*(4 + -8). Is -4/9 bigger than y?
True
Let a be (4/(-16))/(2/(-2)). Are -0.2 and a nonequal?
True
Let x = 15.9 + -16.1. Is -1/8 equal to x?
False
Let z be (-3 + (-51)/(-15))*-10. Is -3 >= z?
True
Suppose 3*h + 23 = -2*l, 4*l + 4 = -2*h - 6. Let s = 8 + h. Is 2/7 equal to s?
False
Let r be -3 - 2*249/(-162). Which is bigger: r or 1?
1
Let b be 18/(-102)*(-2)/3. Is 1 at least b?
True
Let y(h) = h + 4. Let n be y(-4). Let d(v) = -v**3 + v**2 - v + 1. Let u be d(n). Suppose -m - u = -o, -5*m + 30 = 4*o - 1. Are m and 3 nonequal?
False
Let o = -6 - -11. Suppose -a - 4*n = -o*a + 20, 3*a - n - 11 = 0. Let m be 2/(-3)*a/2. Which is smaller: -2 or m?
-2
Let b = -16 + 22. Let c = -5 + b. Let y = 17 - 14. Which is smaller: c or y?
c
Let o be 486/(-4) + 9/6. Let n be 0 - -2 - o/(-65). Suppose -5*r - 1 = 3*t - 3, 2*t + 3*r = 1. Which is smaller: n or t?
t
Let q = -17/84 - -3/28. Which is greater: q or -1?
q
Suppose -5*a + 66 = 6. Let c = -6 + a. Which is greater: c or 4?
c
Let y be 9/(-6)*1/(-6). Let x = 467/13 - 36. Do x and y have the same value?
False
Let b = -34.79 + 35. Do 1 and b have the same value?
False
Let a(v) = -v**2 - v + 1. Let f be a(0). Let u = f + -3. Let l(c) = c + 1. Let x be l(u). Does 0 = x?
False
Suppose -5*q + 14 = -7*q. Let d(r) = -r**2 - 6*r + 6. Let m be d(q). Is m < -1/2?
True
Let v(l) = l - 5. Let g be v(8). Suppose g*h - 6 = -3. Which is bigger: 0.03 or h?
h
Suppose -3*v - 6 = -3. Let u = -1 - -1. Is v < u?
True
Let n(q) = q**3 - 3. Let x be n(0). Let j be 49/(-266)*(1 - x). Let h = -220/247 - j. Is 2/3 less than h?
False
Let y be 63/(-71) - 7/(-7). Let m = 212/639 + y. Which is smaller: 0 or m?
0
Let v be 12/2 + (-2)/2. Suppose 0*w = v*w + 15. Let b = 2 + w. Which is smaller: 0 or b?
b
Suppose -5*a + 3 + 2 = 0. Which is greater: 3/23 or a?
a
Let d be (-5)/20 + (-6)/4. Suppose 1 = 2*k - 2*m + m, -5*m = 4*k + 33. Is k != d?
True
Let a = 2847 - 85397/30. Let z = -1/6 - a. Is -1 <= z?
True
Suppose -152 = 4*t - 4*h, 5*t = -3*h - 177 + 11. Which is smaller: t or -33?
t
Let f = -16 - -20. Let m be (-6)/(-4)*(1 + 1). Is f < m?
False
Let j be 0 - 1/((-1)/(-136)). Let i be (-2423)/(-18) - 24/(-16). Let k = i + j. Is 1 != k?
True
Let q = -2/109 + -319/436. Let d be (4/(-5))/(2/(-5)). Suppose -2*t - d = -4*b, 5 - 2 = 2*b - 3*t. Is b less than or equal to q?
False
Let g = 356/1295 - -2/185. Let z = 159/205 - -1/41. Is z greater than g?
True
Let g = -18 + 18. Which is smaller: g or -2?
-2
Suppose 5*w + 3*f + 2*f = 35, -w - 3*f + 13 = 0. Let m(o) = -o + 2. Let s be m(-3). Is w less than s?
True
Suppose 4*u - 22 - 2 = 0. Let a(g) = -g**3 + 4*g**2 - 4*g + 4. Let o be a(3). Let s be (o + (-10)/u)*3. Is 0 less than or equal to s?
False
Let n(j) = j**2 + 3*j + 1. Let h be n(-4). Suppose -h + 17 = -l + 4*f, 3*l + 5*f - 15 = 0. Let x be 1*3/(-3 - l). Is x not equal to -3?
True
Let l = -0.5 + 0.6. Let m = l + -0.3. Let r = m - -2.2. Does 0.1 = r?
False
Suppose -3*v - 27 = -4*s, v - 4*v - 42 = s. Is v not equal to -14?
True
Let z = -8 + 4. Is z less than or equal to 1/4?
True
Let p = 0.1 - 0.1. Is -2 <= p?
True
Suppose 0 = n - 2 - 0. Let m = 1 + n. Which is bigger: 1 or m?
m
Suppose x = -3*b + b, -2*b = 3*x. Let j = -1 + x. Let k = j + 6. Which is bigger: 6 or k?
6
Suppose -2*c = -3*o + 1, 2*o + 4*c - 5 = 1. Which is greater: -1/8 or o?
o
Suppose 12 = -58*i + 52*i. Is -1/2 > i?
True
Let u = -4 - -10. Which is greater: 1 or u?
u
Let z be 5/2 + (12 - 15). Which is smaller: z or -2/9?
z
Let n = 22 + -14. Let s = -15 + n. Let d = s + 11. Which is smaller: 0 or d?
0
Let c = 2 + -2. Let a(v) = v**2 - 2*v + 1. Let g be a(3). Suppose -4*k - 3*l + 9 = 0, 5*k + 0*l - 12 = -g*l. Is k != c?
False
Suppose -5*s + 16 = 1. Let m(w) = -3*w**2 - 9*w - 5. Let o be m(-2). Let u = o - s. Which is smaller: u or 0?
u
Let m = -12 - -3. Let d = 9.2 + m. Is 3 > d?
True
Let c = 73 - 76. Is 0 <= c?
False
Let r be (-40)/(-16)*(-2 + 4). Suppose w - y - 6 = -r*y, 0 = -2*y. Is 7 at most w?
False
Let q be (11/2464)/((-6)/(-8)). Let s = -47/168 - q. Let r(d) = -d**2 + d + 2. Let p be r(2). Is s >= p?
False
Let d = 4.9 + -26.9. Which is smaller: 0 or d?
d
Let o be (4/(-6))/((-30)/(-45)). Is 1/6 less than o?
False
Suppose -3*m + 7 = -0*f - 4*f, -2 = -4*m - 2*f. Is 0.06 greater than or equal to m?
False
Suppose 5*i = g - 5, -3*i - g = -0*g + 3. Which is smaller: -2/5 or i?
i
Let k(a) = a - 6. Let d be k(8). Let u = 82 - 77. Is u not equal to d?
True
Let g = -25 - -170. Let w = 153.7 - g. Let a = w - 9. Which is smaller: -0.1 or a?
a
Suppose -36 = -5*i + 4*z, 2*i - i = -z. Is 4 < i?
False
Suppose -q - 30 = -6*q. Let y(d) = -d**3 + 5*d**2 + 7*d - 7. Let x be y(q). Let z = 0 - x. Are -1/4 and z nonequal?
True
Let w = -89/388 - 2/97. Suppose -8*z = -6*z - 12. Suppose 5*l = z*l. Which is smaller: l or w?
w
Suppose 5*d + 0*d = -80. Let h be d/(-120)*(-8186)/4. Let x = h + 273. Is 1 >= x?
True
Let w be 14/3 - (-4)/(-6). Suppose v + 3 - w = 0. Which is greater: v or 8/9?
v
Let v = 4 - 10. Let n be -3*1 + (1 - v). Is 3 bigger than n?
False
Suppose 5*m - 862 = -4*t, 319 = 4*t + 4*m - 545. Let b be 0 - ((-5826)/(-27) + 2). Let r = b + t. Which is bigger: -0.2 or r?
r
Let o = -10 - -12. Suppose 3*r = 4*x + 16, 2*x - 6*x = 5*r + 16. Suppose -o*t + 4*t = r. Which is smaller: 2/17 or t?
t
Let i(f) be the third derivative of f**6/120 - f**5/20 + f**4/8 - f**3/3 - 3*f**2. Let t be i(2). Is 1/3 at least as big as t?
True
Suppose 5*t + 6*t - 11 = 0. Which is bigger: 0.057 or t?
t
Suppose 3 = -57*q + 54*q. Let x be 8/(-14)*(-6)/(-8). Which is greater: q or x?
x
Suppose 4*b - g - 6 = -25, 2*b = -5*g + 7. Let n = 6 - -9. Let l be b/(-22) - n/22. Which is bigger: 0 or l?
0
Let z be -2*213/(-30)*8. Let k = -114 + z. Which is greater: k or -7?
k
Let x = -14665/3 - -4976. Let k = x - 87. Is 4 bigger than k?
True
Suppose -4 - 7 = 2*a + 3*n, 5*n + 27 = a. Suppose -a*q = -3*q. Is 1/5 < q?
False
Let j = 5.1 - 10.1. Let x = 0 - 0.1. Which is smaller: x or j?
j
Suppose 5*t = 5*f - 20, -2*f + 4*t + 19 = -f. Let o = 3 + -7. Let k be o/10 + 0/2. Which is greater: f or k?
k
Suppose 0 = -2*a + 40 - 30. Which is bigger: a or -4?
a
Let m be (154/(-12))/(-7) + 0. Let x = m + -4/3. Let l be (-4)/(-6) - (-6)/(-9). Is x not equal to l?
True
Suppose 5*i - 2 = 13. Let l be i*3/36*2. Let j = 0 + 0.1. Which is smaller: l or j?
j
Let p = -35 - -33. Which is smaller: -3 or p?
-3
Suppose 0 = 3*t - 4*t. Suppose t = 3*z - 3. Which is smaller: 4 or z?
z
Let g be (-1 - 2 - -9) + -2. Suppose g*u = -0*u. Is 2/9 greater than u?
True
Let t be 5 - (-2 + 8 + -3). Is t less than 4?
True
Suppose 0 = -9*q + 5*q + 128. Which is smaller: q or 33?
q
Let p be -5 - 10/(-14)*6. Are p and 2 non-equal?
True
Let c = -15 + 7. Let x(b) = b + 8. Let z be x(c). Let d = 379/7 - 54. Is z less than d?
True
Suppose -2*s = -6*s + 2*p, 3*s = 5*p. Which is smaller: -1/4 or s?
-1/4
Let h be ((-7)/(-14))/((-82)/(-104) - 1). Is h not equal to -1?
True
Let s be ((-2)/(-1))/(-4)*-4. Let d(h) = h**2 + h - 2. Let v be d(-3). Let t(a) = -a**3 + 3*a**2 + 4*a + 3. Let g be t(v). Which is greater: s or g?
g
Suppose 3*m = 5*i + 3 + 4, -15 = 5*m + 5*i. Which is smaller: -3 or m?
-3
Let i(x) = -8*x + 17. Let m be i(2). Let p(d) = -3*d
|
{
"pile_set_name": "DM Mathematics"
}
|
v) = 3*v + 3. Let u(i) = -7*d(i) + 4*t(i). Let f be u(1). Suppose -f*x + 5*r = 3*x - 40, 2 = x - 4*r. Is 12 not equal to x?
True
Let o be 30/(-75) + (-1 - (-21043)/(-20205)). Let r = 4/1347 - o. Which is smaller: r or 3?
r
Let r be -13 + 12 + 142/68. Let n = -7/17 - r. Let g = n + 1. Does 0.2 = g?
False
Let a = 4.5 - 35.5. Let b = 29.9 - -0.1. Let u = b + a. Is 1/6 < u?
False
Let o(m) = -2*m**3 - 58*m**2 - 53*m - 2. Let p be o(-28). Is -85 at most p?
False
Let q be (5 - (-716)/(-112)) + 2/8. Suppose 9 = 7*i + 23. Which is bigger: q or i?
q
Let f(x) = 3*x - 10. Let u be f(5). Suppose -3*c + 17 = 4*w, 4*c - 1 - u = 3*w. Suppose 0 = 4*a - c*a. Which is smaller: a or -4/15?
-4/15
Let g be 19 - (2 - (-3 + 4)). Suppose 8*w = 132 + 20. Which is bigger: w or g?
w
Suppose 6*t + 140 = 10*t. Suppose -5*j = -t - 0. Let q be 3/(-1) - -2 - j. Is q smaller than -8?
False
Suppose 0 = 1111*l - 1119*l + 1272. Do l and 160 have different values?
True
Suppose -4*y - b = -2*b + 14, -4*b = -2*y. Let o be -30*8/(-12)*(-2)/(-2). Suppose -5*j + 5*z - o = 4*z, -z = -j. Is j <= y?
True
Let c = -52/63 + 10/9. Let y = -16.78 + -0.22. Let m = y - -13. Which is smaller: m or c?
m
Suppose -6 = 2*v, -2*v + 1650 = 3*t - 237. Which is smaller: t or 1/3?
1/3
Let g = 16 - 12. Let d = -1.38 + -0.02. Let t = d + 1.3. Is t not equal to g?
True
Suppose -w = 5*h - 2*w + 11, 19 = -5*h - w. Let t(g) = -7*g**2 + 2*g + 4. Let m be t(-1). Which is smaller: m or h?
m
Let s be 4742/546 - (-3 - -7). Let j = 64/13 - s. Which is smaller: j or 1?
j
Let d be 76/18 - (-18)/(-81). Let b(h) be the second derivative of h**4/12 - 5*h**3/6 + 3*h**2 - h. Let u be b(d). Is u greater than or equal to 6?
False
Let d be 4/(-4) + -2 - -27. Suppose 2*u = k - 14, -5*k + 6 + d = -2*u. Let j be u/(-10)*44/(-2). Is j > -10?
False
Let q = 36/25 + -251/25. Which is smaller: q or -10?
-10
Let f = 448 - 431.08. Let k = f + 0.08. Let l = k + -12. Which is smaller: l or 0?
0
Let x = 327 + -2607/8. Let q = -123/88 + x. Which is smaller: -1 or q?
-1
Let l(f) = 103*f + 94. Let y be l(4). Is y bigger than 505?
True
Let z = 21.7 - 27.86. Let o = z - -6. Let s = 0.36 + o. Which is bigger: s or 1/6?
s
Let q be 0/(3/((-6)/(-4))). Let j be (-38)/(-36) - (-3 + 4). Let x = j - 131/90. Is q at most as big as x?
False
Suppose -5*q + 3*p = 75, -5*p = 5*q - 4*p + 55. Let n be (-1)/(4*5/280). Which is bigger: n or q?
q
Let a = -3 - -2. Suppose -2*f - d + 2*d + 2 = 0, -f = 2*d - 6. Let i be f/(-4) - 9/42. Which is smaller: a or i?
a
Let q = 1311 + -1358. Is q <= -326/7?
True
Suppose 2*c - 6 = 5*i + 2, -2*i = 0. Suppose 0 = -0*q + 4*q - c. Let p = -1/24 - 65/168. Is q smaller than p?
False
Suppose 3*f - 47 = 4*r, -2*f + 4 + 22 = -2*r. Let g(s) = -2*s - 17. Let d be g(r). Which is smaller: 8/37 or d?
d
Let j(v) = v**2 + 4*v. Let l be j(-3). Suppose -g - 2*a = -58 + 6, -186 = -4*g + 3*a. Let d be g/(-20)*(-12)/(-16). Are d and l equal?
False
Let a = -0.36 - -0.399. Let q = a + -0.039. Which is bigger: q or -0.09?
q
Let d(b) = -12*b + 7*b - 2 + 4 + 6*b. Let g be d(-3). Which is smaller: g or 2/17?
g
Let d be 9/45 + 533/(-40). Are -13 and d equal?
False
Suppose 5*g + 2*m = g - 2702, -2*m + 2044 = -3*g. Let z be g*2/(-20) - (-2)/10. Is z at least as big as 69?
False
Let a = -51 + 57. Let j = 9.8 - 0.8. Let u = j - a. Which is smaller: 0 or u?
0
Let f = 0.11 + 0.09. Let g(y) be the third derivative of y**5/60 + 5*y**4/12 + y**3/2 - 5*y**2. Let v be g(-10). Which is smaller: v or f?
f
Let g = 506 + -434. Which is smaller: 65 or g?
65
Let i = -1375.9 + 1376. Is 815 smaller than i?
False
Let c = -76/3 + 20. Which is smaller: c or 1/3?
c
Suppose 3 = -6*s + 15. Let f be (-1)/((-1 + s)/11). Is f less than or equal to -11?
True
Suppose -4*j - 3*u = -3*j - 4, -3*u - 20 = -5*j. Let c be 42/j*2/14. Which is greater: 2 or c?
2
Let q be (-3)/6*-4*(-3)/6. Let s = 2/7 + -12/91. Is q at most s?
True
Let k = 172 - 149. Which is bigger: k or 0?
k
Let n = 5.204 + -0.204. Which is smaller: -8/9 or n?
-8/9
Let t be 1513/714 + 1/6 + -3. Do t and -2 have the same value?
False
Let r = 268/9 - 1073/36. Let o = r + 29/180. Is -1 greater than or equal to o?
False
Let n(l) be the first derivative of -l**2 - 20*l - 2. Let m be n(-16). Is 13 != m?
True
Suppose 0 = 3*m - 7*m - 24. Let p be 2/m + (-35)/(-6). Let z be (-6)/594*-22 + 4/(-18). Which is smaller: z or p?
z
Let n = 0.18 - 0.3. Let w = -33.4 + 33. Let q = w - n. Is q > 2/3?
False
Let q be (-2 + (2 - -1))/((-3)/183). Is -0.1 at least q?
True
Let p(s) = 27*s + 4 - 28*s + 8 - 4. Let r be p(7). Which is bigger: 4/51 or r?
r
Let n = -0.2332 + 5.3282. Let d = n - 0.095. Is d at most -3?
False
Let t = -14/517 + 15077/3102. Suppose -2*h + 0 = i - 15, 0 = -2*i - h + 15. Which is smaller: t or i?
t
Let r = -13 - -7. Let a be 183/(-965) + 5/(19 - r). Is -1 equal to a?
False
Let z(j) be the third derivative of j**5/30 + j**4/12 - j**3/3 + j**2. Let v be z(3). Let q = v + -70/3. Which is bigger: q or 0?
0
Let r = -29 - -25.85. Let g = 4.8 + -8. Let a = r - g. Which is smaller: a or -0.1?
-0.1
Suppose -12 = 4*c - 28. Let k be (3/6)/(1/c). Suppose y = -k*y. Which is smaller: y or -1?
-1
Let c = -747 + 980. Which is smaller: 232 or c?
232
Suppose 2*t - 382 = l - 2*l, 4*t - 4*l = 764. Let p = t - 951/5. Which is smaller: p or 1?
p
Suppose -c - 2 = 0, 4*c = 4*t - 5 + 1. Let v be 2252/120 - (-12)/30. Let y = v + -355/18. Is t less than or equal to y?
True
Suppose 7*v = i + 12*v - 64, -3*i - 4*v = -159. Which is smaller: i or 29?
29
Let j(t) = t**3 - 9*t**2 - 46*t - 26. Let p be j(14). Do 311 and p have the same value?
False
Suppose -2*p + 8*p = 0. Let y = -1125/2 - -588. Let s = y + -26. Are s and p non-equal?
True
Let u = 132 - 126.7. Let m = u - 6.3. Is -1 at least m?
True
Suppose -o + 5*m + 1 = 26, -3*m = 4*o - 15. Let k be ((-7)/(-5) - -1)/(230/50). Is o not equal to k?
True
Let n = 34 - -28. Let o be (-25)/(-50)*(-4)/n. Which is smaller: -2/9 or o?
-2/9
Let y = 209 - 1883/9. Let p = 58 + -64. Let n be ((-8)/p)/((-2)/1). Which is smaller: n or y?
n
Let j be 3130/35 - -4*(-3)/(-21). Is j bigger than 266/3?
True
Let u = 2569/4 - 593. Are 49 and u unequal?
True
Let s = 387 - 442. Which is smaller: s or -57?
-57
Let t be 0*(4/3)/(-4). Let s be 3 + (4 - (t - -3)). Suppose -3*y + s*y = 0. Is 1/7 <= y?
False
Let f = 295/33 + -102/11. Which is bigger: f or 9?
9
Suppose 6*t = 2*y + 5*t - 48, 18 = y - 2*t. Let c = 39 - y. Is 14 smaller than c?
False
Let t be 7 - 12 - (-3 + 520). Which is greater: -0.2 or t?
-0.2
Suppose 0 = 6*o + 598 + 362. Is -161 greater than o?
False
Let a be (9/2 + -6)*(-1)/(-2). Suppose -5*u + 0*u = 10. Let i be ((-2)/(-8))/(u/8). Which is smaller: i or a?
i
Let g = 17495/9591 - 177/139. Let k = g + 18/23. Which is greater: 0 or k?
k
Let i be -148 + 3 + 5 + -4. Is -143 < i?
False
Let v = -8.372 - -8.3. Let h = 0.628 - v. Which is bigger: -1 or h?
h
Let d = -0.55 - 1.45. Let x = -1 - d. Is x bigger than -0.37?
True
Suppose -v = -o - 3, 0*o + o - 4 = 0. Suppose 0 = v*l - 2*l - 15. Let r = l + -6. Which is greater: -2 or r?
-2
Let t = -878785/58 - -15151. Let z be 6480/1305 + (1 - 6). Let v = z + t. Which is bigger: -2 or v?
v
Suppose 4*t - 2*x - 43 = -t, -4*x - 41 = -5*t. Suppose t*r + 67 = -122. Is -21 < r?
False
Let v = -16 - -38. Let u = -14 + v. Let w = 16 - u. Is w smaller than -1/3?
False
Suppose 13 = 3*z + r, 2*r = -2*z + 21 - 7. Is -19 less than or equal to z?
True
Suppose 75 = 5*o + 5*i, 5*o - 16 = i + 53. Suppose -g = g + o. Which is smaller: -8 or g?
-8
Suppose t + 3 = 4*h, 0*h + 4*h - 5 = -t. Let g be -3*h/((-9)/12). Suppose 0 = 4*x - g*b + 16, -4*x + 2*b - 11 - 3 = 0. Do x and -2 have the same value?
False
Let s be (-15)/4*(228 + (-11 - -3)). Is 2/3 >= s?
True
Suppose 4*u - 2*u = 5*l + 14552, -5*l = u + 14549. Let n be (45/l)/(6/8). Do 0 and n have the same value?
False
Let r(t) be the second derivative of -t**3/6 - t**2 - 2*t. Let j(v) = v**3 - 13*v**2 + 12*v + 2. Let w be j(12). Let l be r(w). Are l and -5 equal?
False
Let o be (5 - (4 - -3)) + 1*-133. Is -134 bigger than o?
True
Suppose -5*v + 22 = -i - 0, v = 5*i - 10. Suppose 5*h + b = -4*b + 45, -h - i*b = -3. Let k be 87/h - 1/4. Which is greater: 8 or k?
8
Let u(q) = q**2 - 20*q + 87. Let x be u(6). Which is bigger: 1 or x?
x
Let c = 127 + -8
|
{
"pile_set_name": "DM Mathematics"
}
|
/(a/((a/a**(1/5))/a)))/a**7)**(-45) assuming a is positive.
a**(994/3)
Simplify ((f**(-2))**14)**(-30)*((f**12*f)/f*f*f*f**(-11))**(20/7) assuming f is positive.
f**(5940/7)
Simplify (((j*j**1)/j)**(-2/85))**(-25)/((j/j**(-1))**41*(((j**(-2)*j)/j)/j)/(j*j/j**(1/4))) assuming j is positive.
j**(-5213/68)
Simplify (g*g/(((g/(g**(1/2)*g))/g)/g)*g)**(-33)/(g**(-1)*g**(-2/3))*((g*g**(2/3))/g*g**(1/4))**(-1/51) assuming g is positive.
g**(-110069/612)
Simplify ((q/q**(-8)*q**10)/((q/q**(9/2))/((q**(-2/9)/q)/q)))**(-49) assuming q is positive.
q**(-17885/18)
Simplify (b**(2/5))**(-1/16)*((b/(b/(((b**(-1/7)/b)/b)/b*b*b)))/b)/(b/(b/((b/b**(-2/9))/b)))*((b**(-6)/b)/(b*b**(-2/17)*b))**(-3/7) assuming b is positive.
b**(60689/42840)
Simplify ((((w/(w/(w**(2/7)/w)*w*w))/w)**(-2/59)*w/(w/(w*w**(1/5)))*w*w**(2/15)/w)**(-7/2))**(-18) assuming w is positive.
w**(5424/59)
Simplify ((((b/b**2)/b*b)/((b**(1/4)/b*b*b)/b)*b*b**(-1/5)*b*b**7/b*b)**(2/7))**40 assuming b is positive.
b**(604/7)
Simplify (p**4/p**(2/15)*p/p**(1/4)*p/(p**8*p))/((p**(5/7)/p)/p*p/((p/p**(-1/18))/p))**(-17) assuming p is positive.
p**(-11573/1260)
Simplify (q**(-10/7))**(4/9)/((q/q**(-3/2))/q)**39 assuming q is positive.
q**(-7451/126)
Simplify (j/(j**(-2)/j)*j*j/(j/(j/(j*j*j**5*j)*j)))**27/(((j/((j/(j**(-7)/j)*j)/j*j))/j**(-1/2))/(j**(-6)/(j/j**4))) assuming j is positive.
j**(-43/2)
Simplify ((n/n**(-1/5))**(-3))**10*((n**(-5)*n)/(n/(n/(n/(n/(n/((n**8*n)/n))))*n)))/((((n/((n*n**(2/29)*n)/n)*n)/n)/n)/(n*n*n**(-7))) assuming n is positive.
n**(-1042/29)
Simplify ((w*w**(-8)*w**3*w*w)/(w**1)**(-2/15))/((w*w**1/w)**(1/37)*((w**(-1)/w)/w)/w*w*w**(2/15)/w) assuming w is positive.
w**(73/37)
Simplify ((((f*f**(-2/17))/f*f**4/f)**(-1/43))**15)**(-1/5) assuming f is positive.
f**(147/731)
Simplify ((((t*t**(-3/5))/t*t)/t**(-6))/(t**(-3/5)/((t*t/t**(-1/5)*t)/t)))/((t**(-1/10)*t*t*t**(-2/13))/(t/(t*t**(-2)/t*t))**(-17)) assuming t is positive.
t**(-3451/130)
Simplify (y**(-2/15)/(y*(y/(y*y**(2/13)))/y*y))/(y**(-6)/y*y**(1/3))*(y**(-1))**(-27)/(y**(-1)/y)**4 assuming y is positive.
y**(7934/195)
Simplify (y**(-1/12)/y**8*y**(-3/11)/((y/y**(9/4))/y))**(9/5) assuming y is positive.
y**(-1209/110)
Simplify (y*y**(-1/3))**(-14)*(y**(1/3))**(-5/11)*((y/(y*y**(-4)))/y*(y/y**(-3))/y)**(-32) assuming y is positive.
y**(-6649/33)
Simplify ((g/(g**7/g)*(g**(-7)/g)/g)/(g/((g**(2/7)/g)/g*g))**(-40))/((((g/(g/g**(-1/5)*g))/g)/g)/(g*g**(2/19)/g*g))**4 assuming g is positive.
g**(47742/665)
Simplify ((m**(-2/5)/m*m**(3/20)/m*m)/(m*m**(-9))**42)**(18/5) assuming m is positive.
m**(12051/10)
Simplify ((p/((p*p**(-3/2))/p)*p*p/(p**7/p*p))/(p**(-2/31)*p**(-7)/p*p))**(-2/31) assuming p is positive.
p**(-283/961)
Simplify ((i/(i*(i/i**(-1))/i)*i)**40/((i**(-1/7)*i)/i*i/(((i*i**2)/i)/i)*i))/(((i/(i/(i/i**(-1/4))*i))/i)**(-2/59))**17 assuming i is positive.
i**(-1065/826)
Simplify (y**(4/9)*y**(-5/7)*(y**(6/5))**19)**(-34) assuming y is positive.
y**(-241298/315)
Simplify q**(-1/2)*q*q**(2/5)*q**0/q**(3/4)*(q/((q/((q*q**0)/q))/q))**5/((q**(-1/2)*q)/q)**(-6/7) assuming q is positive.
q**(661/140)
Simplify ((z**(-1)*z)**(-9))**(4/21)*(z/z**(2/15))/(z/(z*z/(z**(-2/7)*z)))*z*z**(-2)*z*z/(z*z**(-1)) assuming z is positive.
z**(226/105)
Simplify ((t**(-1/4)/(t*t**(-2/15)*t))/(t*t/((t/(t**(-3/4)*t))/t)*t*t)**8)**(-1/22) assuming t is positive.
t**(197/120)
Simplify ((i/(i*((i**(-1/4)*i)/i)/i))**(-28))**(-3/7)*((i*i*i*i**(-2/3)*i*i)/(i**(2/11)/i))/(i**(-5/2)*i*i**(-2)) assuming i is positive.
i**(1561/66)
Simplify (((d/(d/(d*d*d**0*d)))/d*d*d)/d*d*d*d**(-2))/(d/(d/d**(-1/4)*d))**8*((d**2/d)/d*d*d*d**1*d)/(((d**(-3/4)/d)/d)/d*d**(-3/8)) assuming d is positive.
d**(169/8)
Simplify ((m*m**2)**(2/19))**(-35)/(((m**(-3/8)*m*m)/(m*(m/m**(1/3))/m))/(m**(-5)*m/(m*m**(-7)*m))) assuming m is positive.
m**(-5021/456)
Simplify p/(p/p**43)*p*p*((p**35*p)/p)/p*p*p*p/(p*(p*p**(-36))/p)*p*(p/(p**(-44)*p))/p assuming p is positive.
p**161
Simplify (u/((u/(u**(-1/3)/u))/u*u)*u)**34/(u**(4/3)/(u*u**3*u*u))*(u**(-1))**(-27)/(((u*u*u**2*u*u*u)/u*u)/u)**5 assuming u is positive.
u**(-29/3)
Simplify u**5/u*u**(-5)*(u/(u/(u/(u**(1/2)*u))))**(-4/23)*u*u**(-2/29)*u**4*u**(-1/3)/(u/u**(-4)) assuming u is positive.
u**(-2632/2001)
Simplify (((((u*u**2)/u)/u)**(30/7)/(u*u/u**9*u*(u*(u*u*u**(-5/2)/u)/u)/u*u))**(-27))**(-1/38) assuming u is positive.
u**(4455/532)
Simplify (t/(t*t/t**(-1))*t*t)**(-43)/((t/(t*(t/(t/t**0))/t)*t)/((t**(-2)*t)/t))*(t/t**(1/3))**26/(t**(2/7)/t)**(-2/31) assuming t is positive.
t**(8650/651)
Simplify ((k**(-7)/k*k)/(k/k**(-3)))**(2/25)/((k*k**1/k*k)**40/(k/(k*k*k*k*k/(k**1/k)*k*k*k)*k*k**2/k)) assuming k is positive.
k**(-2147/25)
Simplify ((((c**5)**(-31))**(-20))**(-7/5))**(-11/4) assuming c is positive.
c**11935
Simplify (((q/(q*q*(q/q**(-7))/q))/(q/q**5)*q**(1/3)*q*(q/(q/q**0))/q)**31)**32 assuming q is positive.
q**(-10912/3)
Simplify (u**(-2/3)*u*u*u*u/(u/((u/u**18*u)/u*u))*u**(2/13)/(u/(u**(-2/15)*u)))**(1/10) assuming u is positive.
u**(-887/650)
Simplify (q**(-2/27)/((q/q**(-1/3))/q))**(-10)/(q**(-3/8)*q*(q/q**(-3))/q)**(-5/11) assuming q is positive.
q**(13595/2376)
Simplify (f/(f*(f/f**0)/f))**(-6/25)*f**(-6)/f*f*f**4*(f**(-4)*f**5)/(f**(-1/4))**(1/13) assuming f is positive.
f**(-51/52)
Simplify ((t/(t**(4/3)/t))**(4/9))**(2/51)*t**(2/15)/((t/(t*t/(t/t**(-4)*t)))/t)*(t**(3/4)*t*t)/t**(2/13) assuming t is positive.
t**(-450709/358020)
Simplify (q**(-2/11)/(q**(2/5)/q))**(1/6)/(q**(1/4)/q**(2/13))**(14/9) assuming q is positive.
q**(-514/6435)
Simplify (((d/(d*d*d*d**(-1/9)*d*d*d))/d)/d**(2/29)*(d**(-16)*d)**(-5/17))**(-3/5) assuming d is positive.
d**(1372/1479)
Simplify (((j/(j**2*j))/(j*j/j**10*j))/(j**(3/11)/(j*j*j**7/j)))**(2/19) assuming j is positive.
j**(280/209)
Simplify ((c*(c/c**(2/5)*c)/c)/(c**(-5)*c))/(c**(1/2))**(3/13)*((c**(1/2))**(-20))**15 assuming c is positive.
c**(-18787/130)
Simplify (((c*c/(c**(1/6)*c*c)*c)/c**(-7/3)*((c/c**(3/7))/c)**(1/7))**(-21))**(-15) assuming c is positive.
c**(13695/14)
Simplify ((u**(5/4)/u)**14*(u/u**(7/9))/(u*u**(-13)*u))**(2/17) assuming u is positive.
u**(265/153)
Simplify (((w/(w/w**(1/2)))**39*(w*w*w**(-2/5)*w)**(1/14))**(-7/4))**(-49) assuming w is positive.
w**(33761/20)
Simplify i**(-41)*i**(-7/2)*(i**(5/3)/i)**(-2/23) assuming i is positive.
i**(-6149/138)
Simplify ((p**(-18)*p**(5/7))/(p**10/p**13))**(-12/11) assuming p is positive.
p**(1200/77)
Simplify ((b*(b*b**18)/b*b*b**25/b)/(b/(b/b**(2/37))*b/(b/(b**(2/55)*b))*b))**(2/15) assuming b is positive.
b**(170572/30525)
Simplify (o/o**(-6)*o*o**(3/4))/((o*o*o/((o**(1/3)*o)/o))/(o*o**(4/9)))*o**(-2)*o*o**(-5/6)*(o**(2/3))**(-35) assuming o is positive.
o**(-635/36)
Simplify ((a*a**(-3/5))/(a**(8/9)/a)*(a/a**(-9))/(a*a/((a*a**(4/3)*a*a*a)/a)))**(-31) assuming a is positive.
a**(-17918/45)
Simplify (g**(-1/3)/g**(-1/2)*g**(8/3)/(g**(1/8)/g))**5 assuming g is positive.
g**(445/24)
Simplify (c**(-24)/c*c*(c/c**(-22/3)*c*c)/c*(c**17)**1)**(-12) assuming c is positive.
c**(-28)
Simplify (y*y**(1/13)*y/(y/(y/((y/(y/(y*y**(-2/11)/y)))/y)))*(y*y*y**1*y*y)**(-32))/((y**1)**(-1/20)*y**3/y*y**(-1/4)) assuming y is positive.
y**(-226571/1430)
Simplify (((k/k**15)/k)**(-3/4)*k*k**11*k**5)**(9/5) assuming k is positive.
k**(1017/20)
Simplify ((f*f**(-1))/f*f*f*f**31/f*((f**(-22)/f*f)/f)**(-48))**(-46) assuming f is positive.
f**(-52210)
Simplify ((s**0)**(1/3)*(s/((s/((s/(s**(-2/5)*s*s))/s))/s))**4)/(((s**(1/4)/s)/s)**(-6))**(-4/25) assuming s is positive.
s**(-18/25)
Simplify (((u/(u*u**(-1/36)))/(u*u**(1/33)*u))**2)**14 assuming u is positive.
u**(-5551/99)
Simplify (w/w**23)**(9/2)/(w**(3/7)/w)**(-22) assuming w is positive.
w**(-781/7)
Simplify (t**0/t)**(8/13)*(t**1)**6*(t**(-1))**17*((t/(t/(t/t**(1/2))))/t)**(-9) assuming t is positive.
t**(-185/26)
Simplify (q/(q/q**20*q)*q**(-11)*q*(q*(q*q*q**0)/q)/(q*(q**(2/47)/q)/q))**(-1) assuming q is positive.
q**(-562/47)
Simplify ((((g/(g**(4/17)/g))/((((g*g**(2/47))/g)/g*g)/g))**6)**(-1/14))**(-44) assuming g is positive.
g**(287100/5593)
Simplify x**(-12/13)*x**(-10/11)*x*(x**(-33)*x)**(-26) assuming x is positive.
x**(118857/143)
Simplify ((k*k/((k*k**(-2/7)/k)/k*k))**(-3/10)*(k/(k*(k*k*k*k**(-4)*k*k)/k*k))**(-41))**(-10/17) assuming k is positive.
k**(-166/7)
Simplify ((p*p*
|
{
"pile_set_name": "DM Mathematics"
}
|
d -0.0424?
3.0424
0.3+552
552.3
What is 0.246 minus 0.89?
-0.644
-0.155 - 156.78
-156.935
Calculate -0.08 - -229.
228.92
Calculate 178 - 0.46.
177.54
Work out 159713 - -6.
159719
What is -10.284 plus -0.3?
-10.584
What is -2 - -0.7009?
-1.2991
What is 321 take away -1?
322
Work out 6878510 + -3.
6878507
Put together 0.58 and -0.6.
-0.02
What is the difference between 112378 and 5?
112373
Work out -0.3 + 1796654.
1796653.7
What is the difference between -1075996 and -5?
1075991
What is -2 + -238?
-240
Calculate 231 + 2405.
2636
What is -0.039007 minus 0.5?
-0.539007
Add together -2102 and -403.
-2505
What is 1.086 take away 3?
-1.914
Sum -0.4 and 63.
62.6
What is -0.1132397 minus -2?
1.8867603
What is -297.6 take away -3?
-294.6
What is 77487 - -4?
77491
11 + -404
-393
-221620+0.08
-221619.92
What is -0.1662 minus 16.02?
-16.1862
Put together -116 and 1521.
1405
Work out -0.4 + 9.4824.
9.0824
What is 1.6 + 0.1776?
1.7776
What is 73.63 minus -4?
77.63
What is the distance between 0.13449 and -60?
60.13449
What is 4 - 49.349?
-45.349
What is 31 minus -809?
840
What is the difference between -739 and 4?
743
What is -160 less than 0.03?
160.03
What is the distance between 2.1936 and -18?
20.1936
Subtract -883 from -0.39.
882.61
Add 0.21 and 0.139.
0.349
Calculate 440.129 - 0.2.
439.929
What is -3 minus -4.32?
1.32
Subtract -0.1 from -0.028.
0.072
What is -3.88 minus 18338?
-18341.88
-0.4 - -0.096409
-0.303591
Work out 1.4818 + 166.
167.4818
Subtract -211012 from -6.
211006
What is -776072 - 0.5?
-776072.5
Calculate 0.5 - 1.78.
-1.28
Work out 5 - -1115893.
1115898
Work out -0.31 - -35.
34.69
0.2 - 413.9
-413.7
Total of 0.0662 and 0.26.
0.3262
Add together 126.9 and -0.6.
126.3
What is the difference between -16089.2 and 1?
16090.2
What is -3.5 less than 5418?
5421.5
What is 0.051 + 0.052?
0.103
What is 0.21 plus 8813.1?
8813.31
Total of -2 and 0.040955.
-1.959045
What is -1922.116 minus -6?
-1916.116
Put together -0.12 and 4276.
4275.88
What is -5 take away -99250?
99245
2 + 0.1041
2.1041
192 + -0.1
191.9
Work out -5 - 5.689.
-10.689
What is -3.25225 - -0.2?
-3.05225
Subtract 233897 from -8.
-233905
What is -1.3 plus 0.086361?
-1.213639
What is the distance between -0.04415 and 5?
5.04415
What is -3026028 plus 3?
-3026025
What is -0.038 plus 655.2?
655.162
Work out -13 - -2.78.
-10.22
What is -8711 plus -0.603?
-8711.603
Calculate -51.4 - -11.49.
-39.91
What is 10 - 7.479?
2.521
-9.26+-0.02
-9.28
-0.013 + 130521
130520.987
Add -1 and 20779.
20778
Subtract -0.03 from 270886.
270886.03
15 - -60
75
Subtract -4 from -8.74404.
-4.74404
Sum 245.9 and -1.
244.9
Add together 3826.1 and -41.
3785.1
What is 856895.2 take away 0.2?
856895
Add together 25419 and 109.
25528
Total of 0.02 and -1457.
-1456.98
Subtract -3 from -28.
-25
What is 335 + -0.22?
334.78
6.7+0.51
7.21
Subtract -0.935 from -2.
-1.065
Work out 16 + 0.0932.
16.0932
What is the difference between -12 and -9.3593?
2.6407
Calculate 62 - -3760.
3822
Add 0.3 and -124.15.
-123.85
Add together 0.097 and -11.
-10.903
52 + -214547
-214495
Work out -4 - 24.47.
-28.47
Put together -1.3 and -0.31325.
-1.61325
Put together -5 and -3.221.
-8.221
Add together 0 and 4155.
4155
What is -0.045179 - -0.05?
0.004821
What is the difference between -3.4 and -51?
47.6
Subtract -0.2 from -2232.4.
-2232.2
Calculate 97.83 - 0.174.
97.656
What is -62945 minus 0.02?
-62945.02
What is -1217.6 less than 0.5?
1218.1
Calculate 0.42845 + -0.07.
0.35845
What is 0.005 plus -326?
-325.995
-0.4 + 919
918.6
What is 3.0802 minus -0.5?
3.5802
What is 0 take away -1939?
1939
Put together 5 and -4.68.
0.32
Work out 15 + -996.
-981
What is -33 minus -0.033?
-32.967
What is 2834 less than 0.1?
-2833.9
-3 - -33.3141
30.3141
Work out -0.4 + -18963.
-18963.4
Subtract -0.5 from -1788.1.
-1787.6
2981.065+-3
2978.065
-2 - 11.98
-13.98
What is the difference between -0.4 and 0.62749?
1.02749
1993517 + 0.8
1993517.8
What is -1.8741 - 0.165?
-2.0391
Subtract 441 from -0.16.
-441.16
-4+4889
4885
Calculate -24086 - 0.1.
-24086.1
What is -9533.1 plus -61?
-9594.1
Put together -74721 and 0.
-74721
Subtract 5 from 2925.55.
2920.55
What is 1.3 plus -549?
-547.7
Add together 1270 and 3.
1273
Sum -0.0884 and 0.4.
0.3116
2779.27 + -8
2771.27
Total of 0.034 and 38.
38.034
Work out 1832 + 7.7.
1839.7
Calculate -1535 + -2.7.
-1537.7
What is 409223 + -9?
409214
Sum -4490 and -3.
-4493
Work out 0.0312258 - -3.
3.0312258
What is -3.86 less than -129?
-125.14
Put together -64785 and -0.5.
-64785.5
What is the distance between 34159 and 0.36?
34158.64
Sum 18766 and 9.
18775
Sum 0.3 and -2.691.
-2.391
What is -7455 minus -0.1?
-7454.9
Work out -2 - 1191.
-1193
Add together -10498 and -0.1.
-10498.1
Subtract 613993 from 0.1.
-613992.9
Subtract 2763833 from -0.3.
-2763833.3
-0.154+21020
21019.846
Add together 1.69607 and 0.2.
1.89607
What is -1112.61 + -0.3?
-1112.91
-47.71+25
-22.71
5522 - 4
5518
What is 7.9 less than 8?
0.1
What is -0.1 minus -1161917?
1161916.9
Put together -0.2 and -0.13727.
-0.33727
Put together -0.259945 and 0.5.
0.240055
What is the difference between 52 and -9565?
9617
-0.3+46925
46924.7
Work out 2.425 - 0.8.
1.625
What is -0.23 plus -355979?
-355979.23
Sum -0.078 and 0.04751.
-0.03049
What is -2 minus 789?
-791
-11+-1.54
-12.54
What is 29.6 less than -0.46?
-30.06
-604 + -1.7
-605.7
What is -0.61 minus -0.1?
-0.51
0.1 + 1456
1456.1
Sum -48691 and 0.5.
-48690.5
Calculate 0.19 - 32858.
-32857.81
Subtract -13 from -445.
-432
Work out -1440 - 1.
-1441
What is 4924 - 5?
4919
Subtract 0.2 from 303813.
303812.8
What is 29 + 292?
321
What is -120 plus 44?
-76
What is the distance between 5 and -1795?
1800
What is the distance between 0.2 and 111338?
111337.8
Total of 0.776 and 0.1.
0.876
What is -439801.6 minus 2?
-439803.6
-11.01+-52.7
-63.71
What is the difference between -3 and -82068?
82065
What is 17759 less than -0.04?
-17759.04
1876 + -4.71
1871.29
What is -23 take away -14219?
14196
What is the difference between 4 and -87.7?
91.7
What is 1613 plus 7.42?
1620.42
What is -8161 take away -2.3?
-8158.7
Total of -2 and 258.0335.
256.0335
Add 78880.8 and -5.
78875.8
What is -28.6 minus 59?
-87.6
52228 + 54
52282
What is -0.05 plus -45890?
-45890.05
Work out -1752811 + 1.
-1752810
Put together -158 and -1676.
-1834
Put together 0.0449 and 0.24.
0.2849
What is -110081 less than 1.3?
110082.3
What is 1041131 - -0.5?
1041131.5
-0.4 - 3021.973
-3022.373
Calculate 148 - 4209.
-4061
Work out -1.428 - -7.
5.572
What is 113 minus -0.1?
113.1
Work out -1475 - 9.
-1484
What is 446 less than 7533?
7087
What is 103 less than 45?
-58
What is 0.822486 less than -0.05?
-0.872486
Total of 19 and 59.5.
78.5
-1 - -2061
2060
Subtract -0.5 from -14.2313.
-13.7313
What is 0.02706 + 2.74?
2.76706
Subtract 9 from -2453.
-2462
What is -17 - 407?
-424
What is 0.5 less than -579.28?
-579.78
Work out -3.1 + 9.8.
6.7
What is 0.167 - -443?
443.167
What is the distance between -3218 and -24?
3194
-76+-14
-90
861.87+0.4
862.27
What is -0.113 + -441?
-441.113
What is 25.09 plus -1.7?
23.39
-0.07 - -5404
5403.93
Calculate -3.083 - 0.3.
-3.383
What is -30.3 take away -6?
-24.3
What is -13 plus 126?
113
Work out -176 - -2613.
2437
What is 3 plus 277?
280
Put together -25 and 23.
-2
What is the difference between -5627 and 6.4?
5633.4
Calculate 0.3 + -1081.3.
-1081
Work out -0.3 + 0.0604.
-0.2396
What is -374 minus 304?
-678
Calculate -0.1188 - -53.
52.8812
Sum -99 and 0.011.
-98.989
What is the distance between -2 and 14.46?
16.46
Total of -4 and -779103.
-779107
0.866+-3
-2.134
-63 - -0.05
-62.95
What is 31 minus 0.955?
30.045
Total of -11 and 588.
577
Add together 3 and -0.8908.
2.1092
Add -13 and -1026.
-1039
Calculate 12953 + -58.
12895
Calculate 3 - 0.149501.
2.850499
Work out 18.2 - -0.1.
18.3
What is the distance between -10287 and 0.1?
10287.1
What is -25.15 less than 4?
29.15
Work out 115.64 + -0.69.
114.95
Total of 586 and -532.
54
Put together 7.1 and 3471.9.
3479
-106344 - 4
-106348
Work out -5 + -458.
-463
0.06 - -904
904.06
Work out 14.66 + -0.0066.
14.6534
Work out 312 + 2747.
3059
What is -0.6 less than -0.80525?
-0.20525
Sum 4 and -17.307.
-13.307
Subtract 0 from 3581.
3581
Work out 0.3 - 60922.
-60921.7
Put together 6.1 and -5147.
-5140.9
What is -0.66 + 0
|
{
"pile_set_name": "DM Mathematics"
}
|
15 - -4)*(-15)/(-2). Calculate the highest common factor of 1 and g.
1
Let v be (3 - -4 - 0) + 1. Suppose 3*g + 1 = -v. Let u(s) = -2*s - 4. Let l be u(g). What is the greatest common factor of l and 2?
2
Let r(o) = o**2 + 13*o + 21. Let u(z) = -3*z - 5. Let f(n) = 2*r(n) + 9*u(n). Let a be f(-3). What is the greatest common divisor of a and 90?
18
Suppose 0 = 2*i + 5*y - 10*y + 50, 0 = -3*i + 4*y - 82. Let o be (-505)/i - 2/(-12). Let z = 154 - 35. What is the highest common factor of z and o?
17
Suppose -5*q + 5 = 5*x, 4*x + 37 = 2*q + 11. Calculate the greatest common divisor of q and 25.
5
Suppose -6*l + 128 = 14. Calculate the highest common divisor of l and 209.
19
Let c(r) = -12*r - 14. Let p = 0 - 7. Let z be c(p). What is the highest common factor of 14 and z?
14
Let v be 130/18 - 4/18. Suppose -2*d + 35 = -v*d. Let c(g) = g + 11. Let h be c(d). Calculate the highest common factor of 28 and h.
4
Let n = -125 - -127. What is the highest common factor of 22 and n?
2
Let g(w) = -3*w**2 - 3. Let k(x) = -x. Let f(o) = -g(o) + 2*k(o). Let j be f(2). Calculate the greatest common divisor of 22 and j.
11
Let u be 3 - (10/(-6))/(90/(-108)). What is the highest common divisor of 11 and u?
1
Let a(x) = -x + 1. Let g be a(-2). Suppose k - g = -2*j, 5*j - 17 = -5*k - 2. Calculate the highest common divisor of 12 and k.
3
Let w(y) = 3*y - 2. Let m be w(2). Suppose -m*x + 22 = -30. Let f = -9 + 22. What is the greatest common divisor of x and f?
13
Let x(g) = -g**2 - 9*g + 4. Let u be x(-9). Let i(s) = -s**3 + 4*s**2 + 2*s - 4. Let f be i(u). Calculate the greatest common divisor of f and 44.
4
Let v = -8 + 10. Let f be ((-2)/v)/((-2)/14). What is the greatest common divisor of 35 and f?
7
Let v(l) = 37*l + 21. Let h be v(3). Calculate the greatest common divisor of 12 and h.
12
Suppose 0 = m + 4*y + 12, 4*y - 3*y = -3*m + 8. Suppose 5 + 15 = 5*c. Calculate the greatest common factor of m and c.
4
Suppose -6 + 15 = 3*h. Let p = 5 - h. Suppose z - 52 = p. Calculate the highest common divisor of 18 and z.
18
Let b be 1 + 1 - (-2 + 2). Let r be (b - 0/(-1)) + 2. Let t(c) = -c**2 - c + 16. Let o be t(0). Calculate the greatest common factor of r and o.
4
Suppose 0 = 5*o - 4*m - 462, -5*o + 348 = -o + 4*m. Let a be (-11 - -1)*(-6)/6. Calculate the greatest common factor of o and a.
10
Let b = 9 + 21. What is the highest common divisor of 12 and b?
6
Let q(d) = -2*d**3 - 3*d - 3. Let a be q(-1). What is the greatest common divisor of 66 and a?
2
Suppose 3*q - 2 = q, 0 = -5*x + 4*q + 71. Suppose a - 30 = -2*a. Calculate the highest common factor of x and a.
5
Let z(n) = -3*n - n + 3*n. Let t be z(-3). Let q(u) = u**2 - 6*u + 6. Let b be q(5). Calculate the highest common factor of b and t.
1
Suppose 0 = -6*s + 3*s. Let i be (-13)/(0 - -1 - s). Let q = i - -26. What is the greatest common factor of q and 143?
13
Let u = 160 + -64. What is the highest common divisor of 24 and u?
24
Suppose -21 = -5*g - 4*u, -4 = 4*g - 3*u + u. Let a be 1305/6 - g/(-2). Suppose 0 = 5*s - a + 18. Calculate the highest common factor of s and 5.
5
Suppose 4*c + 33 = -79. Let b = c + 68. Let f = 7 + 3. What is the highest common factor of f and b?
10
Let g(w) = -w**3 + 4*w**2 + 15*w - 7. Let x be g(6). Suppose 3*r = 98 - 32. What is the greatest common factor of r and x?
11
Let u(s) = s**3 + 8*s**2 - 11*s + 12. Let m be u(-9). Calculate the greatest common factor of m and 10.
10
Suppose -5*r = -4*o + 38 + 5, -26 = -2*o + 4*r. Suppose -4*g - o + 39 = 0. Let a be (0 - (2 - 3)) + 7. Calculate the highest common divisor of g and a.
8
Let b(r) = r**3 - 14*r**2 + 16*r - 29. Let o be b(13). What is the greatest common factor of 40 and o?
10
Let m be 2 - (-18)/(-10) - (-118)/10. Let y be (-1)/2*(-614)/1. Let z = y + -199. What is the highest common factor of m and z?
12
Let i be 0/(2 - 1) - -3. Let x = 3 - 2. What is the greatest common divisor of x and i?
1
Let w = 12 - -4. Let s be (-3)/2*(-812)/3. Let t = 582 - s. What is the greatest common divisor of w and t?
16
Let z(s) = -s**3 + s**2 - 11*s + 12. Let d be z(-6). What is the highest common factor of 30 and d?
30
Let y(r) = 5*r + 4. Let k be y(-4). Let j = k - -44. Calculate the highest common divisor of j and 7.
7
Let i = -131 + 133. Let x be 1/3 + (-94)/(-6). What is the highest common divisor of x and i?
2
Suppose 0 = 5*o - 4*i + 8, 3*i = 2*o + o + 6. Suppose -143 - 7 = -5*t + 5*b, 4*t + 5*b - 138 = o. What is the greatest common divisor of 352 and t?
32
Suppose 5*l - 405 = -5*j, 0 = 4*j - l - 120 - 204. Calculate the highest common factor of 9 and j.
9
Suppose 5*l = 5*s + 15, 2*l - 3*l + 3*s + 3 = 0. Calculate the highest common factor of 33 and l.
3
Let t(s) = 5*s + 30. Let k be t(-3). Calculate the highest common factor of k and 135.
15
Suppose 5*i + 215 = 2*b, 0 = -b - 2*b + i + 303. Let t = 43 + -23. Calculate the greatest common divisor of b and t.
20
Suppose 0 = -2*t + j + 201, -4*t - 5*j + 396 = -j. Calculate the greatest common factor of t and 20.
20
Let x be (-1)/5 + (-781)/(-55). Suppose -1 - 1 = -w. Suppose -2*p + w = -p. Calculate the greatest common factor of x and p.
2
Suppose 28 = m + m. Suppose -x + m = z, -x + 2*z = -4*x + 44. Calculate the greatest common divisor of 24 and x.
8
Let h(r) = 5*r - 66. Let y be h(21). Calculate the highest common divisor of y and 117.
39
Let c(l) = l**2 + 4*l - 12. Let h(k) = -k**3 - 3*k**2 + 2*k - 4. Let j be h(-3). Let p be c(j). What is the highest common factor of 32 and p?
16
Suppose 4*v - 4*x = 48, x - 32 = -4*v + 6. Suppose 110 = -7*y + 8*y. Calculate the greatest common divisor of v and y.
10
Suppose 3*k - 10 = -2*k. Let q = k - -3. Let n(y) = 2*y**2 + 3*y - 4. Let b be n(-3). Calculate the greatest common divisor of b and q.
5
Suppose 4*p - 31 - 21 = 0. What is the greatest common factor of 91 and p?
13
Suppose -c + 24 = 2*w + 3*w, 0 = -5*c - 4*w + 141. Calculate the greatest common divisor of c and 58.
29
Let u = 40 - 24. Suppose -5*k - 5 = 0, -5*k + 43 = 4*w - 3*w. What is the highest common divisor of u and w?
16
Suppose -3*q - 3*o + 8 = 2*o, 0 = -q - 2*o + 2. What is the greatest common divisor of q and 15?
3
Let w = 16 + -8. Let o = w + -6. Suppose 5*g + 2*i - 65 = -o*i, g - 5*i - 13 = 0. Calculate the highest common factor of g and 65.
13
Suppose u - 5*u + 24 = 0. Suppose -2*a = -o - 9, -18 = -5*a + o + u. What is the highest common divisor of a and 55?
5
Let w(v) = 53*v**2 - 2*v - 1. Let l be w(-1). Let g be 0 + 1078/8 + (-1)/(-4). Calculate the highest common factor of g and l.
27
Let t be ((-244)/6)/(4/(-6)). Suppose 59 = -0*r + 3*r + 5*x, 0 = -5*r + x + t. Suppose w = 5*w - 364. Calculate the greatest common factor of r and w.
13
Suppose 14 = 4*b - 2*r, 0 = 2*b + 5*r + 11. Let w(q) = q**3 + 9*q + 0*q**3 - b + 13 + 10*q**2. Let s be w(-9). What is the highest common divisor of s and 55?
11
Let j be (-1 - 63)/(12/(-6)). What is the highest common factor of j and 24?
8
Let c be 5/(-25) + (-112)/(-10). Calculate the greatest common divisor of 1 and c.
1
Suppose 5*d - 205 = 2*a - 5*a, a + 93 = 2*d. What is the greatest common divisor of 66 and d?
22
Let j(z) = -12*z**3 - z**2 + 3. Let t be j(-2). What is the greatest common divisor of t and 38?
19
Let m = -5 - -12. Let p(f) = -f**3 + 7*f**2 + 2*f + 1. Let q be p(m). What is the greatest common factor of q and 3?
3
Suppose -3*g + 79 = h, 0 = -5*h + h - g + 338. Calculate the greatest common factor of h and 17.
17
Let x = -10 - -22. Let s be (-2)/(-6) + (-3352)/(-24). Let f = s - 80. What is the highest common factor of f and x?
12
Let l = 19 + 7. Suppose 5*v - 195 = -0*v. Calculate the greatest common factor of l and v.
13
Let z = -6 - -3. Let x be 5/z - (-4)/6. Let u = x + 5. Calculate the greatest common factor of 2 and u.
2
Let d = 4 - -6. Let b(x) = -4*x**3 + 3*x - 10*x - 6 + 3*x**3 - 6*x**2. Let q be b(-5). Calculate the greatest common factor of d and q.
2
Let q = -5 + 70. Let h be (-1 - -2) + (-75)/(-3). Calculate the greatest common divisor of h and q.
13
Let l = -734 + 444. Let v be 6/(-39) + l/(-26). What is the highest common divisor of v and 110?
11
Let f be (-15)/(-10)*(-8)/(-3). Let s = 1 + f. Calculate the highest common factor of s and 20.
5
Let p = -1 - 2. Let l be 18*p/(-9)*1. Calculate the highe
|
{
"pile_set_name": "DM Mathematics"
}
|
o(-11).
-11
Let q(l) = 2*l**2 + 12*l + 6. What is q(-7)?
20
Let r(w) = -w**3 - 3*w**2 + 2*w + 12. Give r(-3).
6
Let v(q) = -3*q - 9. Give v(4).
-21
Let z(b) = -2*b**3 - b**2 - b - 1. Give z(-3).
47
Let v(s) = -s**2 - 10*s + 7. Calculate v(-12).
-17
Let o(f) = 4*f + 1. What is o(-3)?
-11
Let f(x) = -x**2 + 15*x. Calculate f(15).
0
Let a(n) = -7*n**3 - 1. Determine a(-1).
6
Let m(s) = -s**3 - 17*s**2 - 14*s + 35. Determine m(-16).
3
Let t(h) = -4*h - 16. Calculate t(-15).
44
Let t(m) = 2*m + 27. What is t(-13)?
1
Let g(v) = -2*v**2 - 2*v + 1. Calculate g(2).
-11
Let w(l) = -l**3 + 30*l**2 - 29*l - 6. Calculate w(29).
-6
Let g(i) = 10*i - 142. Give g(15).
8
Let j(w) = -w**3 + 12*w**2 + 40*w + 85. Calculate j(15).
10
Let a(p) = p**3 - 10*p**2 - 38. Calculate a(10).
-38
Let x(a) = -17*a**2 - a. What is x(-1)?
-16
Let v(t) = 2*t + 60. Give v(-17).
26
Let l(o) = -o**2 + 12*o + 52. Determine l(15).
7
Let s(n) = n**3 - 6*n**2 - 5*n - 10. Determine s(7).
4
Let w(u) = u**3 + 13*u**2 + 30*u + 38. What is w(-11)?
-50
Let n(j) = -j**2 - 2*j + 21. Determine n(0).
21
Let f(y) = y**3 + 3*y**2 - y - 1. Calculate f(-4).
-13
Let k(m) = -6*m - 20. Calculate k(-5).
10
Let t(i) = 3*i**2 + 23*i + 24. Determine t(-7).
10
Let z(b) = -b**2 + 25*b - 52. Determine z(23).
-6
Let k(q) = q**2 - 6*q + 5. Determine k(5).
0
Let y(q) = -10*q - 10. Give y(-4).
30
Let o(i) = 26*i + 463. Give o(-18).
-5
Let r(v) = 20*v - 98. Give r(8).
62
Let y(k) = k - 73. Calculate y(43).
-30
Let j(z) = z**3 - 16*z**2 + 22*z - 45. Determine j(14).
-129
Let g(n) = -n**3 + 16*n**2 - 27*n - 15. What is g(14)?
-1
Let b(g) = g - 4. Calculate b(9).
5
Let h(q) = -4*q**2 - 14*q + 5. Calculate h(-4).
-3
Let j(s) = -s**2 - 4*s - 8. Calculate j(0).
-8
Let y(m) = -11*m - 20. Determine y(-4).
24
Let d(s) = 6*s**2 - 5*s - 1. Give d(2).
13
Let j(t) = -t**3 + 6*t**2 + 7*t - 4. Calculate j(5).
56
Let g(k) = 14*k - 327. Calculate g(23).
-5
Let b(w) = 4*w**2 + 90*w + 89. What is b(-1)?
3
Let r(p) = p**3 + 6*p**2 + 9*p + 3. Determine r(-4).
-1
Let d(h) = -5*h**3 + h**2 + 7*h + 5. What is d(-1)?
4
Let d(v) = v - 7. Determine d(0).
-7
Let s(d) = 29*d - 11. Calculate s(1).
18
Let w(q) = -q**2 + q - 2. What is w(-4)?
-22
Let l(m) = -4*m**2 + m + 4. Give l(-2).
-14
Let h(q) = 12*q**2 + 6*q + 6. Calculate h(-3).
96
Let i(a) = a**2 - 29*a + 15. Give i(28).
-13
Let n(m) = -2*m**2 - 5*m - 8. Determine n(-4).
-20
Let v(z) = 3*z - 8. What is v(4)?
4
Let q(o) = o + 19. Calculate q(-11).
8
Let b(z) = -z**3 + 4*z**2 + 2*z + 11. Calculate b(5).
-4
Let d(m) = m**2 + 2*m - 8. Determine d(-8).
40
Let h(f) = 2*f**2 - 18. Give h(-4).
14
Let n(f) = 3*f - 10. Give n(-11).
-43
Let k(h) = -2*h + 2. Calculate k(3).
-4
Let o(g) = g**3 + 11*g**2 - 17*g + 3. Determine o(-12).
63
Let r(a) = 12*a**3 - a**2 + 1. Calculate r(1).
12
Let t(y) = -2*y - 13. What is t(4)?
-21
Let x(w) = 17*w + 3. Determine x(-2).
-31
Let g(o) = -4*o**2 + 14*o + 3. Calculate g(4).
-5
Let i(a) = 45*a. Determine i(2).
90
Let f(l) = 3*l - 108. Give f(32).
-12
Let l(f) = -f**2 + 11*f - 9. Calculate l(12).
-21
Let t(h) = 2*h**3 - 21*h**2 + 13*h - 11. Give t(10).
19
Let s(t) = t**3 + 9*t**2 - 2*t - 10. What is s(-9)?
8
Let j(i) = 9*i + 3. Give j(1).
12
Let o(b) = -b**2 - 20*b - 35. Calculate o(-17).
16
Let f(j) = 21*j - 168. What is f(11)?
63
Let i(c) = 2*c**2 + 50*c - 32. Give i(-25).
-32
Let p(n) = -4*n**3 - 7*n**2 - 4*n. Give p(-2).
12
Let g(k) = -4*k - 10. Determine g(7).
-38
Let n(g) = -g**3 + 5*g**2 - 2*g - 6. What is n(3)?
6
Let i(c) = c**3 + 17*c**2 + 18*c + 17. Give i(-16).
-15
Let t(n) = -n**3 + 8*n**2 - 9*n - 7. Give t(7).
-21
Let j(o) = -o - 2. Calculate j(8).
-10
Let i(z) = z + 3. Calculate i(0).
3
Let g(n) = -n**3 + 13*n**2 - 27*n - 17. Calculate g(10).
13
Let l(j) = -j**2 + 2*j + 8. Give l(6).
-16
Let q(j) = -8*j + 9. Determine q(-7).
65
Let t(y) = -y**2 - y - 16. Determine t(0).
-16
Let g(c) = c. What is g(1)?
1
Let m(n) = 10*n + 174. What is m(-16)?
14
Let t(m) = m - 68. Give t(-9).
-77
Let t(j) = -j**3 - 4*j**2 + 10*j + 18. What is t(-5)?
-7
Let o(m) = -m**3 - 2*m**2 + 2*m + 1. Determine o(-2).
-3
Let g(x) = -x**2 - x + 115. What is g(-11)?
5
Let i(b) = -33*b**3 + b**2 - 1. Determine i(-1).
33
Let d(t) = t**2 + t - 7. Give d(8).
65
Let m(g) = g - 6. Determine m(-9).
-15
Let m(l) = l**2 + 22*l + 24. Calculate m(-22).
24
Let w(x) = x**3 + 10*x**2 - 5*x + 1. Determine w(-10).
51
Let p(m) = 6*m - 24. Determine p(3).
-6
Let z(o) = o**2 + 11*o - 148. Give z(-19).
4
Let d(m) = -3*m + 7. Determine d(4).
-5
Let y(x) = -x**3 + 8*x**2 - 7*x - 11. Calculate y(6).
19
Let i(a) = -a**2 - 2*a + 3. Calculate i(0).
3
Let p(t) = t**3 - t**2 + 8*t - 15. Give p(2).
5
Let o(c) = -c**2 - 5*c - 3. What is o(-7)?
-17
Let k(b) = -b**2 + 3*b + 20. What is k(0)?
20
Let b(l) = 3*l**3 - 41*l**2 - 10*l - 34. Determine b(14).
22
Let f(i) = i**3 + 2*i**2 + 2*i - 5. Give f(2).
15
Let j(q) = -9*q**2 + 21*q - 3. Determine j(1).
9
Let i(t) = 5*t**2 + 30*t - 23. Calculate i(-7).
12
Let x(a) = -74*a + 2. What is x(1)?
-72
Let j(t) = 23*t**2 - 16*t + 13. What is j(1)?
20
Let s(m) = m**2 - 25*m - 28. Calculate s(22).
-94
Let s(m) = -m**3 - 28*m**2 - 27*m + 18. Give s(-27).
18
Let b(a) = -a**2 + 26*a + 42. What is b(27)?
15
Let s(a) = a - 4. Determine s(-3).
-7
Let g(m) = -2*m - 22. Give g(11).
-44
Let r(x) = -4*x - 19. What is r(0)?
-19
Let w(p) = -4*p + 36. What is w(10)?
-4
Let g(b) = -19*b - 685. Determine g(-36).
-1
Let g(q) = q**2 + 6*q - 25. What is g(-5)?
-30
Let d(o) = -16*o + 175. What is d(11)?
-1
Let g(w) = 203*w - 616. What is g(3)?
-7
Let n(z) = -z**3 + 7*z**2 - 7*z + 4. What is n(5)?
19
Let u(v) = -5*v + 1. Determine u(-5).
26
Let p(r) = 4*r**2 + 2*r - 2. Give p(2).
18
Let c(a) = -a - 20. Give c(-16).
-4
Let d(n) = n**3 + 28*n**2 + 56*n + 123. Calculate d(-26).
19
Let r(v) = -5*v + 37. Determine r(10).
-13
Let n(g) = -g**3 - 2*g**2 - 2*g - 2. Give n(-2).
2
Let k(m) = m**2 - 2*m + 2. Calculate k(1).
1
Let s(v) = -6*v**2 + 124*v + 36. Calculate s(21).
-6
Let w(j) = -3*j**2 + 83*j + 40. Determine w(28).
12
Let h(x) = -2*x**3 - 15*x**2 - 9*x. Give h(-7).
14
Let x(p) = 9*p - 212. What is x(24)?
4
Let n(i) = i**2 + 11*i + 7. Give n(-11).
7
Let a(z) = 7*z**2 + 49*z - 5. What is a(-7)?
-5
Let z(n) = 6*n**2 - 40*n + 14. What is z(6)?
-10
Let s(x) = -x**2 - 2*x - 8. Determine s(-8).
-56
Let v(y) = -2*y**3 - 83*y**2 + 41*y - 34. What is v(-42)?
8
Let p(t) = -6*t - 32. What is p(-7)?
10
Let a(v) = -v + 10. Calculate a(-5).
15
Let y(w) = 6*w - 27. What is y(4)?
-3
Let t(s) = -s**2 + 5*s + 17. Determine t(-3).
-7
Let u(x) = -x**3 - 6*x**2 + 4*x. Determine u(-6).
-24
Let x(w) = 4*w + 5. Give x(-2).
-3
Let i(h) = -16*h + 62. Give i(3).
14
Let o(h) = h + 14. What is o(0)?
14
Let d(o) = 4*o + 28. What is d(-6)?
4
Let c(r) = -r**3 - 3*r**2 + 7*r + 5. What is c(-5)?
20
Let j(l) = -l**2 + 5*l + 1. What is j(4)?
5
Let u(g) = 5*g**2 + 106*g + 15. Give u(-21).
-6
Let h(g) = 29*g**3 - g**2 + g + 1. Give h(-1).
-30
Let x(f) = -f**2 + 17*f. What is x(0)?
0
Let p(f) = -f**3 + 5*f**2 - 4*f + 5. Calculate p(4).
5
Let y(u) = -u**2 - 7*u + 2. Give y(-7).
2
Let j(k) = k**3 - 9*k**2 + 11*k - 14. Give j(8).
10
Let w(f) = -13*f**2 - 2*f. Calculate w(2).
-56
Let c(g) = g**3 + 3*g**2 - 2*g + 3. Give c(-4).
-5
Let f(l) = l**2 - 10*l + 25. Calculate f(3).
4
Let t(a) = a**2 + 2*a - 9. Calculate t(0).
-9
Let u(j) = -19*j + 233. Determine u(12).
5
Let l(a) = a**3 - 35*a**2 + 65*a + 38. Determine l(33).
5
Let h(z) = -z - 7. Give h(4).
-11
Let c(s) = s + 2. What is c(-9)?
-7
Let m(h) = h - 15. Determine m(7).
-8
Let c(i) = -i**3 + i**2 + 13*i - 10. What is c(4)?
-6
Let i(l) = -l - 27. What is i(-15)?
-12
Let k(j) = 7*j + 112. Give k(-15).
7
Let g(q) = -2*q**2 - 10*q + 10. Give g(-5).
10
Let i(k) = -2*k**3 + 16*k**2 + 10*k - 76. Determine i(8).
4
Let i(s) = 2*s + 1. Determine i(-2).
-3
Let c(w) = -w**3 - 7*w**2 - 7*w. Determine c(-6).
6
Let m(g) = -2*g**2 + 33*g - 28. Calculate m(16).
-12
Let i(k) = 39*k + 235. Determine i(-6).
1
Let r(t) = 2*t + 21. Give r(-13).
-5
Let b(d) = d**2 - 9*d + 21. Determine b(5).
1
Let c(d) = 7*d**2 + 4*d + 4. Calculate c(-1).
7
Let s(u) = 3*u + 57. Determine s(-17).
6
Let x(l) = 2*l**3 + 32*l**2 - 7*l - 8. Calculate x(-16).
104
Let m(p) = -p**2 + 4*p + 9. Give m(7).
-12
Let j(a) = a - 5. Calcul
|
{
"pile_set_name": "DM Mathematics"
}
|
g order.
g, 0, i
Let u be (-1 - -8)*2*78/42. Suppose 0 = 29*o - u*o - 3. Put 7, -3, 4, o in ascending order.
-3, o, 4, 7
Let j(b) = 2*b + 9. Let n be j(-14). Let m = n + 9. Let c be 2/(-4 + m/(-3)). Put -4, c, -1/6 in descending order.
-1/6, c, -4
Let m(x) be the first derivative of -3*x**2/2 + 5*x + 1. Let h(a) = -a**3 + 10*a**2 - 10*a - 45. Let i be h(8). Let b be m(i). Put 5, b, -15 in ascending order.
-15, b, 5
Suppose 4*n = 5 - 17. Sort 3, n, -4, -21 in increasing order.
-21, -4, n, 3
Let y = 1.7 + -2. Let s = -2/3 - -19/15. Let w = 25.6 + -23.6. Sort y, w, s in increasing order.
y, s, w
Let o(b) = b**3 + 6*b**2 + 10*b + 7. Let c be o(-2). Put c, -1/9, 21.7 in increasing order.
-1/9, c, 21.7
Let c(y) = y**2 + 31*y + 18. Let f be c(-30). Sort -1, 1, f, 3 in increasing order.
f, -1, 1, 3
Let u = -4 - -3. Let c be 15/(-6)*(-12)/(-6) + 2. Sort c, u, 0.1.
c, u, 0.1
Let r(n) = -n**3 + 21*n**2 + 5*n - 105. Let k be r(21). Put 1/3, k, 13/3, 4 in increasing order.
k, 1/3, 4, 13/3
Let o = -286 - -287. Sort o, -0.4, 119 in decreasing order.
119, o, -0.4
Let h = -20 + 23. Put 3/4, h, 5, 1/4 in decreasing order.
5, h, 3/4, 1/4
Suppose 9 = 4*l + 3*v - 9, -3 = l - 3*v. Suppose -h + 4*x = -l, 0*h - 4*h + 3*x = -12. Sort h, -10, -2, 4 in descending order.
4, h, -2, -10
Let x = -2.38 + -0.22. Let p = 5 - 2. Let q = x + p. Sort -0.05, q, -0.5 in increasing order.
-0.5, -0.05, q
Let f be (108/(-63) + 2)/2. Sort -2, -1/6, 0.09, f.
-2, -1/6, 0.09, f
Let j(p) = 51*p - 16. Let x be j(3). Put x, -3, 0 in increasing order.
-3, 0, x
Let l = -1 - -3. Suppose 2*w + 56 + 32 = -38*n, -n - 26 = 4*w. Sort 0, l, n in increasing order.
n, 0, l
Let y = -1708 + 1706. Sort 3, y, 7.
y, 3, 7
Let g = 77 - 32.8. Let w = g - 45. Put 0.1, w, 0.4 in increasing order.
w, 0.1, 0.4
Suppose 2*h + 2*t = 16, 3*h - 3*t = 2*t - 8. Suppose 3*a - 30 = -2*a. Let r(d) = -d**3 + 6*d**2 - d + 5. Let f be r(a). Put f, h, 5 in descending order.
5, h, f
Suppose -3*i + 5 = -m - m, 5*i - 2*m = 7. Suppose -4*r + 19 + i = -3*n, 5*n + 4*r = 20. Let w = -9 - -5. Sort 4, n, w in decreasing order.
4, n, w
Suppose 0 = -7*l + 3*l. Let g(m) = -2*m + 4. Let u be g(-7). Suppose 0 = 4*n - 2 + u. Sort -2, l, n in ascending order.
n, -2, l
Suppose 4 = -4*c - 0*c. Let v = -33 - -37. Suppose 4*o - 2*o - 22 = v*g, 0 = -2*g - 8. Put o, -4, c in ascending order.
-4, c, o
Let s = -15 + 14. Let z = 6274/3 + -2110. Let b = 386/21 + z. Sort b, -2, s.
-2, s, b
Let m = -23350/7 + 143957/42. Let f = 92 - m. Let u = -2.09 + 2. Sort f, 2, u in decreasing order.
2, f, u
Let x = -72.48 + 69. Let o = x + -0.02. Let j = -0.5 + o. Sort -4/5, -0.3, j in descending order.
-0.3, -4/5, j
Let o = 41 - 19. Let g = -22.5 + o. Suppose -4*j = -12, -5*n + 40 = 5*j - 0*j. Put 4, g, n in increasing order.
g, 4, n
Let p = 16 - 21. Suppose 5*s + 6 = 3*q, -4*q = 2*s - 7 - 1. Suppose 0 = 5*y - q*k + 25, -2*y = 3*y + k + 40. Sort p, 3, y in descending order.
3, p, y
Let g(k) = k**3 + 5*k**2 + 7*k + 2. Let b be g(-3). Sort b, 5, -7.
-7, b, 5
Let z = -109/1862 + -1/49. Let f = -1.39 + 0.89. Put 1/4, f, z in decreasing order.
1/4, z, f
Suppose 2*p = 8 - 18. Suppose -3*v = -2*r + 3*r - 3, 0 = -3*v + 2*r + 3. Sort 5, p, 0, v in decreasing order.
5, v, 0, p
Let a be -4 + 13/((-104)/(-32)). Sort 2, a, 3, -7 in descending order.
3, 2, a, -7
Suppose 4*a = 2*c - 6, 4*a = a - 2*c + 13. Sort -3, a, -2/77.
-3, -2/77, a
Let b(o) = 4*o**2 - 12*o + 7. Let z be b(2). Put 5, z, 0, -5 in ascending order.
-5, z, 0, 5
Let h be (3 - -1)*11/(-44). Let s = -319 + 313. Sort h, s, -2, 2 in increasing order.
s, -2, h, 2
Let i = 20.7 + -17. Let m = i - -0.3. Let g(n) = -n**2 + 5*n + 4. Let r be g(6). Sort -1/7, m, r in descending order.
m, -1/7, r
Let c = 346.1 - 346. Sort 18/7, c, 4.
c, 18/7, 4
Suppose -3*k + 4*k = 0. Suppose -5*m - 4 - 6 = k. Let n be 2/2 + 4 + -7 + 6. Put 1, m, n in decreasing order.
n, 1, m
Let w = 436/105 + -30/7. Let r = 0.22 + -0.52. Put r, w, 0.3 in descending order.
0.3, w, r
Let v = -260 + 241.7. Let y = -4.1 - -22.1. Let u = y + v. Put -0.6, u, -3 in decreasing order.
u, -0.6, -3
Let z = 0.01 - -0.07. Let v = z - 1.08. Let y = -1.4 - v. Put y, -1, -6/7 in decreasing order.
y, -6/7, -1
Let k = -113 + 109. Sort k, 22, -5 in increasing order.
-5, k, 22
Let i be ((-74)/(-333))/(4/45). Sort -0.4, i, -4 in increasing order.
-4, -0.4, i
Let n be 462/91 - 4/52. Sort 2, 0, -1, n in increasing order.
-1, 0, 2, n
Let i = -7.24 - -7.14. Put 10, -2/21, 3, i in decreasing order.
10, 3, -2/21, i
Suppose -4*l + z - 3*z - 74 = 0, 0 = 4*z + 12. Put -4, 1, l in ascending order.
l, -4, 1
Let s = -25.07 - -25. Let g = s - 0.13. Sort 5, g, -0.5 in ascending order.
-0.5, g, 5
Let b = -557.6 - -558. Sort -1/3, 1/7, b in ascending order.
-1/3, 1/7, b
Suppose 12*n = 41*n - 435. Sort -1/4, -1, n in ascending order.
-1, -1/4, n
Let s = -31 - -39. Suppose -12 = -12*t + s*t. Let d = -4 - -2. Sort 2, d, t in increasing order.
d, 2, t
Suppose 4*g + u = 18, -3*u - 32 = -5*g - 1. Let w = 2 - 3. Let r(s) = -s**3 - 2*s**2 - 3*s. Let p be r(-2). Put p, w, g in decreasing order.
p, g, w
Suppose 0 = v + c - 9 + 2, 0 = -2*v - c + 9. Sort v, -2/5, 0.4, 2/9 in increasing order.
-2/5, 2/9, 0.4, v
Let s(v) = 3*v**3 + v**2 + 8*v + 8. Let d be s(-1). Let x = 1 + -1. Put 2, x, 5, d in descending order.
5, 2, x, d
Let z = -306 - -190. Let s = z + 116. Sort 5, 1, s, -3 in descending order.
5, 1, s, -3
Suppose -22*u = -20*u + 3*x + 9, 0 = -3*u - 3*x - 12. Put u, -183, -7 in decreasing order.
u, -7, -183
Let d be (1 - 26/22) + 0. Suppose 11 - 15 = 4*q. Let u be q/3 - 0/(-3). Sort 2, d, u in ascending order.
u, d, 2
Let m = -1.77 - -1.851. Let s = m + 1.919. Suppose 2*i - 6 = 2. Sort -1, i, s in increasing order.
-1, s, i
Let u(b) = b**3 - 6*b**2 + 5*b + 1. Let n be u(5). Sort 9, n, -0.4 in descending order.
9, n, -0.4
Suppose 0 = -46*p + 51*p. Suppose p*m - 5*m - 15 = 0, 0 = -4*d + 2*m - 6. Sort -5, d, 1, 3.
-5, d, 1, 3
Let g be -8 + (5 - 2) - -3. Sort -73, 2, -1, g in ascending order.
-73, g, -1, 2
Let u = 1 + -0.8. Let v(x) = -2*x**2 - 3*x + 4. Let c be v(-2). Let w be (1 + (-15)/5)/c. Sort w, u, -4 in decreasing order.
u, w, -4
Let y be -2 - (16 + 0 + 6). Sort -5, 5, y in descending order.
5, -5, y
Let l = -230.54 + 230.9. Put -9, 3, l in decreasing order.
3, l, -9
Let t be 2 - (0 + (2 - 3)). Let u = 243.8 + -268. Let c = u + 24. Put c, t, 0 in descending order.
t, 0, c
Let m(r) = r**3 + 11*r**2 - 6*r + 53. Let i be m(-12). Put i, -4, -5 in ascending order.
i, -5, -4
Let o be 5840/(-448) + 12 - 4/(-14). Let r = -2.2 + 2. Let d = r - 3.8. Sort o, d, 0 in descending order.
0, o, d
Let k = 4484 + -22419/5. Let d = -3 - -3.5. Let j = 0.8 - d. Sort -5, j, k in descending order.
j, k, -5
Suppose -7*d - 8 = -5*j - 5*d, 4*j = 4*d + 4. Sort 3, j, -11 in decreasing order.
3, j, -11
Suppose 7 = -5*m + 32. Let k = -4 + 6. Suppose -14 = -4*z - k*l - 0*l, -5*z + 13 = l. Sort m, -2, z in decreasing order.
m, z, -2
Suppose 158 = -2*r - 4*q, 5*r + 0*q = 2*q - 395. Let h = r + 81. Let j(c) = c**2 + 6*c + 6. Let i be j(-5). Put -4, i, h in increasing order.
-4, i, h
Let v be -7 + 16 + (3 - -7). Put -3, -4, v in increasing order.
-4, -3, v
Let p = -16.01 + 16. Let s = p + -2.99. Put 0.1, 5/6, s in decreasing order.
5/6, 0.1, s
Let f(t) = -t**2 + 15*t - 45. Let g be f(11). Let m be (-10)/4 - 2/4. Let i(v) = v**3 + 3*v**2 + 3. Let k be i(m). Put k, g, 0 in descending order.
k, 0, g
Let k be (-6)/(-2)*(-20)/30. Let c be (34/459)/(k/6). Let a = 1 + -6. Put -1, c, a in ascending order.
a, -1, c
Let q(z) = -z**3 + 16*z**2 - 15*z + 21. Let p be q(15). Let j be -2 - (-7)/(p/9). Sort -2, j, 7 in decreasing order.
7, j, -2
Suppose 3*l + 4*q + 42214 = 0, -4*l + l - 42218 = 2*q. Let k be 2/11 - l/(-88). Let s = k + 159. Put -3, s, 2/7 in ascending order.
-3, s, 2/7
Let f = -0.852 - -0.252. Let j = 0 - 1. Let c = 1 + j. Put -1/2, f, c in decreasing order.
c, -1/2, f
Let c = -32.2 + 31.94. Sort c, -5, -0.2, 0.
-5, c, -0.2, 0
Let g(a) = -8*a - 95. Let d be g(-12). Put d, 7, -5, -18 in ascending order.
-18, -5, d, 7
Let l = -1141 - -1141. Put l, 1/3, -0.12, -1 in increasing order.
-1, -0.12, l, 1/3
Suppose 4*u + 30 - 10 = 0, 5*u - 105 = 5*v. Put -4, 4, v, 1 in descending order.
4, 1, -4, v
Suppose 0 = -a - 3, -17 = 2*g + 8*a -
|
{
"pile_set_name": "DM Mathematics"
}
|
*u + 5*i. Let l be (-790)/u - (4/(-16) + 0). What is the highest common divisor of l and t?
20
Let f be 4*(1 - 2) - -14. Suppose 14*t - f*t - 28 = 0. Let w(z) = z**3 + 25*z**2 + 68*z + 45. Let n be w(-22). Calculate the highest common divisor of n and t.
1
Let l = -13855 + 13911. Calculate the greatest common factor of 704 and l.
8
Suppose -3*r = 4*t - 1218, 0*r + 3*t = -3*r + 1218. Suppose 24 + 8 = 3*x + 2*q, -x + 9 = q. Calculate the highest common divisor of r and x.
14
Let u(f) = -f**3 + 10*f**2 - 31*f + 120. Let p be u(6). Suppose 2*b + 4*v - 76 = b, -b + p = 2*v. Calculate the highest common divisor of 20 and b.
20
Let x(h) = h + 21. Let o be (2/7)/((-9)/(-693)). Suppose 0 = -q - o + 26. Let d be x(q). Calculate the greatest common factor of d and 200.
25
Let d(q) be the second derivative of -q**3/6 - 6*q**2 - 16*q. Let c be d(-18). Suppose 168 = c*o - 0*o. Calculate the greatest common divisor of 7 and o.
7
Suppose -z + 225 + 164 = 2*i, 0 = -3*i - 4*z + 581. Suppose 31*t = 36*t - i. Suppose 5*f + t - 529 = 0. What is the highest common divisor of f and 49?
49
Let z(f) be the third derivative of -f**5/20 + 55*f**4/24 + 9*f**3/2 + f**2 - 27*f. Let i be z(18). What is the highest common divisor of i and 30?
15
Suppose -3*z + 1725 + 1212 = 3*a, 4*a + z = 3904. What is the highest common divisor of a and 13?
13
Suppose 0 = -385*i + 18*i + 13579. What is the greatest common divisor of 3589 and i?
37
Let c(x) be the third derivative of -2*x**4/3 + 73*x**3/3 - 94*x**2. Let g be c(8). Calculate the greatest common factor of 198 and g.
18
Suppose y = 5*g + 5, 0 = 3*y + 5*g - 0*g + 5. Let d be (752/18 - y) + 4/18. Calculate the highest common divisor of d and 21.
21
Suppose f - 19*f + 36 = 0. Suppose 4*l + f*l = 144. What is the highest common factor of l and 276?
12
Let n be (-3 - -1)/((-4)/52). Let c(h) = -2*h + 76. Let t be c(n). What is the highest common divisor of 56 and t?
8
Let q = 1967 - 1903. Calculate the greatest common divisor of q and 2336.
32
Let p be ((-33)/(-45) - (-6)/10)/(5/13770). Calculate the greatest common factor of 18 and p.
18
Let o be 4*24 - 5904/(-369). What is the greatest common factor of o and 4432?
16
Suppose 2*h - h = 225. Suppose 0 = 477*n - 471*n - 54. Calculate the highest common divisor of h and n.
9
Let o = -6775 + 7021. What is the highest common divisor of o and 1189?
41
Suppose 5*s - 50 + 5 = 0. Let y be s/(6/(1 - -1)). Suppose p + y*g = 84, -272 = -4*p - g + 5*g. Calculate the highest common divisor of p and 18.
18
Let g = 715 + -712. Let b be g/(-5) + (-9729)/(-115). Calculate the greatest common divisor of b and 714.
42
Let t = -239 + 237. Let n be (-547)/t - -5 - (-2)/4. What is the greatest common divisor of n and 31?
31
Let a = 424 + -422. Suppose 2*r - 1326 = -a*y - r, -5*y - 2*r + 3304 = 0. Calculate the highest common divisor of 55 and y.
55
Let n = 42836 + -41444. What is the highest common divisor of 78 and n?
6
Let f(y) = 60*y**3 + y**2 - 2*y + 1. Let k be f(1). Let b be 4 - 2*(-79 + 15)/16. What is the greatest common factor of k and b?
12
Let h be ((110/11 - 1490) + 5)*-3. What is the highest common divisor of 10 and h?
5
Suppose 4*w = -0*w + 92. Let n = w + -18. Suppose -3*s - 3*a + 46 = s, -4*s + 62 = -n*a. What is the highest common factor of s and 13?
13
Let y = 62358 + -62355. Let w = -17 + 44. Calculate the greatest common divisor of y and w.
3
Suppose -2*g - 3*g + 80 = 0. Let o(y) = 209*y**2 + 33093*y - 33094. Let c be o(1). What is the greatest common factor of g and c?
16
Let z = 323 - 319. Suppose 6*m = 10*m - 8, 0 = z*w + 5*m - 790. Calculate the highest common divisor of 117 and w.
39
Let h be 480/(-40) + 30/2. Let z(q) = -4*q - 1. Let t be z(5). Let r = 45 + t. What is the greatest common factor of r and h?
3
Let y = 5746 + -5699. Suppose -2*s - 158 = 4*v, 2*v - 4*s + 31 + 43 = 0. Let p = v + y. Calculate the highest common divisor of p and 24.
8
Suppose 6*p = -2*j + 3*p + 17, 3*p - 9 = 0. What is the greatest common factor of j and 1588?
4
Suppose 5*f - 115 = -5*x, 5*x - 2*f + 125 = 233. What is the greatest common divisor of 190 and x?
2
Let k be (-11)/(66/2163)*(-9 - -7). Calculate the greatest common factor of 77 and k.
7
Suppose -3*q - 2*y - 5 = -17, -q = -5*y - 21. Let m be (-6)/(-4) - (-14)/4. Suppose -19 = -x + m. What is the highest common factor of q and x?
6
Suppose 2*o = -0*l + 3*l, 5*l = 3*o + 1. Let a be 6/((-1)/l*(-4)/5). What is the greatest common divisor of 5 and a?
5
Suppose 0 = -5*s + 3*s + q + 501, 4*s - 999 = 3*q. Suppose -18*p + s = -6*p. Calculate the greatest common divisor of 105 and p.
21
Let y = -9 - -18. Let c(q) = -4*q**2 - 13*q. Let i(g) = 2*g**2 + 7*g. Let w(a) = -4*c(a) - 7*i(a). Let r be w(3). What is the highest common factor of y and r?
9
Suppose -25*d + 105 = -4*d. Suppose 4*o = -5*n + 119 - 5, -2*o = -d*n + 108. Calculate the highest common divisor of n and 22.
22
Let y = 922 + -910. Suppose -5*k = -4*k - 12. Suppose -2*i + i = -k. What is the greatest common divisor of y and i?
12
Let u be ((-11 - 1)/4)/((-2)/2). Let a(g) = 0*g - u*g + 133 + 2*g + 7. Let v be a(0). What is the highest common divisor of 35 and v?
35
Suppose -4*z - 722 = -3*u + 148, -2*z + 1226 = 4*u. What is the highest common divisor of 4077 and u?
151
Suppose -2*n - 10*n + 216 = 0. Let i = -11 - -11. Let a be (-18)/(i - (-1 + 3)). What is the highest common factor of a and n?
9
Let t be 8/6*9/2. Suppose 335 = 2*m - s, 0 = 4*m - t*m + 5*s + 323. Calculate the highest common divisor of 13 and m.
13
Let c be (2 - 1) + 39 + 3 + 2. Let h = c - 42. Suppose -h = -y + 51. Calculate the highest common divisor of y and 18.
18
Suppose -25*f = -6*f - 1197. Suppose 32*u = 24*u + 672. What is the highest common divisor of u and f?
21
Let n be (-1 - -1509) + 120/30. Suppose -12*c + 33*c = n. Calculate the greatest common factor of c and 108.
36
Suppose -11 = -5*o - 4*s, -2*o - 2*s + 3 = -3. Let m = o + 10. Suppose -3*a - 414 = -26*a. Calculate the highest common divisor of m and a.
9
Let i be (-13 - 0) + 1 + 1037. What is the highest common factor of 50 and i?
25
Suppose 4*c - 29*u + 27*u = 50170, -50155 = -4*c + 5*u. What is the highest common divisor of c and 65?
65
Suppose 128358 = 5*h - f, 12*f = 2*h - 8614 - 42822. Calculate the highest common factor of h and 68.
34
Let a(x) = 43*x + 365. Let j be a(-12). Let i = -119 - j. Let m = 17 + -9. Calculate the highest common factor of m and i.
8
Let h be 15/6 + -2 + (-3)/6. Let k(y) = 14*y - 1 - 8*y**2 - 27*y + h + 3*y**2 + y**3. Let v be k(7). What is the greatest common divisor of v and 66?
6
Let x(u) = -3*u**3 + 7*u + 13. Let p be x(-4). What is the greatest common factor of p and 118?
59
Let p(s) be the third derivative of s**5/20 + 17*s**4/24 - 5*s**3/2 - 34*s**2 - 2. Let w be p(-7). Calculate the highest common divisor of w and 143.
13
Let q be (-3 - 38)*-2 + -6 + 14. What is the highest common divisor of 3000 and q?
30
Let b(j) = -2*j**3 + 14*j**2 + 18*j - 13. Let r be b(8). Suppose 0*g + 2*g = 2, 2*c - 173 = r*g. What is the highest common divisor of 33 and c?
11
Let s be -3*(-4)/(-6)*-10. Let u = -10 + s. Suppose 4*k - k = 240. What is the highest common factor of k and u?
10
Let x = 63 + -61. Suppose 56 = 4*v - 2*w, -x*v + w = 5*w - 38. Suppose 4*r - c = 23, 0 = 2*r - 2*c + 5 - v. What is the highest common factor of r and 9?
3
Suppose 4*a = 5*w - 623, 164*w - 161*w + 3*a = 363. Calculate the greatest common divisor of 3403 and w.
41
Let s(k) = -1389*k**3 + 53*k**2 + 100*k - 8. Let d be s(-2). Calculate the greatest common divisor of d and 7.
7
Suppose 7420*c = 7418*c + 1222. Calculate the greatest common divisor of c and 799.
47
Suppose -676 = -6*i - 16*r + 18*r, -3*i + 344 = -4*r. Calculate the greatest common divisor of i and 216.
8
Let b be -75*(1/(-9) - -6*(-70)/756). Suppose 3*o = -2*f + 656, -2*o + 327 = f - o. Calculate the greatest common divisor of f and b.
25
Suppose -5*o + 260 = -25. Let r = -6 - -123. Suppose -5*h + 175 = 5*i, -3*i + 4*h + r = 3*h. What is the highest common factor of o and i?
19
Let k = 5820 - 4710. Calculate the greatest common divisor of k and 20.
10
Suppose -3*k = -j + 745, -2636 - 1155 = -5*j + 4*k. Calculate the highest common factor of 42 and j.
7
Suppose 2*a + 668 = 4*x, -655*x - 5*a = -65
|
{
"pile_set_name": "DM Mathematics"
}
|
o the nearest integer?
29
What is 123956 to the power of 1/2, to the nearest integer?
352
What is 5454 to the power of 1/8, to the nearest integer?
3
What is 1132 to the power of 1/3, to the nearest integer?
10
What is the third root of 1052 to the nearest integer?
10
What is 3842 to the power of 1/9, to the nearest integer?
3
What is 4476 to the power of 1/5, to the nearest integer?
5
What is the cube root of 43840 to the nearest integer?
35
What is 49416 to the power of 1/10, to the nearest integer?
3
What is the third root of 59305 to the nearest integer?
39
What is the third root of 43042 to the nearest integer?
35
What is 518 to the power of 1/2, to the nearest integer?
23
What is the cube root of 3740 to the nearest integer?
16
What is the third root of 31926 to the nearest integer?
32
What is 2937 to the power of 1/2, to the nearest integer?
54
What is 5602 to the power of 1/9, to the nearest integer?
3
What is 93362 to the power of 1/10, to the nearest integer?
3
What is 899 to the power of 1/2, to the nearest integer?
30
What is 18401 to the power of 1/2, to the nearest integer?
136
What is the third root of 20156 to the nearest integer?
27
What is 100258 to the power of 1/2, to the nearest integer?
317
What is 152913 to the power of 1/6, to the nearest integer?
7
What is 29158 to the power of 1/3, to the nearest integer?
31
What is the tenth root of 44392 to the nearest integer?
3
What is the tenth root of 3735 to the nearest integer?
2
What is 1953 to the power of 1/2, to the nearest integer?
44
What is 1171 to the power of 1/2, to the nearest integer?
34
What is the seventh root of 9728 to the nearest integer?
4
What is 182834 to the power of 1/10, to the nearest integer?
3
What is the square root of 84317 to the nearest integer?
290
What is the sixth root of 14897 to the nearest integer?
5
What is the square root of 867 to the nearest integer?
29
What is the third root of 86223 to the nearest integer?
44
What is the cube root of 30787 to the nearest integer?
31
What is the third root of 5061 to the nearest integer?
17
What is the third root of 13295 to the nearest integer?
24
What is the cube root of 221 to the nearest integer?
6
What is the ninth root of 8791 to the nearest integer?
3
What is the third root of 666 to the nearest integer?
9
What is the cube root of 669 to the nearest integer?
9
What is the square root of 37317 to the nearest integer?
193
What is 691 to the power of 1/6, to the nearest integer?
3
What is the third root of 2897 to the nearest integer?
14
What is the seventh root of 364 to the nearest integer?
2
What is 39450 to the power of 1/5, to the nearest integer?
8
What is the third root of 28453 to the nearest integer?
31
What is 729 to the power of 1/2, to the nearest integer?
27
What is the third root of 24097 to the nearest integer?
29
What is the third root of 372 to the nearest integer?
7
What is 673 to the power of 1/6, to the nearest integer?
3
What is 388 to the power of 1/3, to the nearest integer?
7
What is the square root of 2339 to the nearest integer?
48
What is the square root of 16496 to the nearest integer?
128
What is the cube root of 601 to the nearest integer?
8
What is 23945 to the power of 1/2, to the nearest integer?
155
What is 29956 to the power of 1/3, to the nearest integer?
31
What is the square root of 12102 to the nearest integer?
110
What is the square root of 17758 to the nearest integer?
133
What is 134228 to the power of 1/3, to the nearest integer?
51
What is the cube root of 67324 to the nearest integer?
41
What is 1376 to the power of 1/3, to the nearest integer?
11
What is 2170 to the power of 1/6, to the nearest integer?
4
What is the eighth root of 1279 to the nearest integer?
2
What is 11232 to the power of 1/3, to the nearest integer?
22
What is 266 to the power of 1/2, to the nearest integer?
16
What is the square root of 1170 to the nearest integer?
34
What is the ninth root of 3184 to the nearest integer?
2
What is 92708 to the power of 1/2, to the nearest integer?
304
What is 49806 to the power of 1/3, to the nearest integer?
37
What is 156372 to the power of 1/3, to the nearest integer?
54
What is 1565 to the power of 1/6, to the nearest integer?
3
What is the ninth root of 76784 to the nearest integer?
3
What is 2800 to the power of 1/2, to the nearest integer?
53
What is 900 to the power of 1/2, to the nearest integer?
30
What is 11814 to the power of 1/8, to the nearest integer?
3
What is 1229 to the power of 1/2, to the nearest integer?
35
What is 2480 to the power of 1/6, to the nearest integer?
4
What is 39664 to the power of 1/8, to the nearest integer?
4
What is 1719 to the power of 1/3, to the nearest integer?
12
What is the square root of 8257 to the nearest integer?
91
What is 25356 to the power of 1/2, to the nearest integer?
159
What is 18211 to the power of 1/10, to the nearest integer?
3
What is 153 to the power of 1/10, to the nearest integer?
2
What is the tenth root of 1377 to the nearest integer?
2
What is the cube root of 3315 to the nearest integer?
15
What is the tenth root of 82686 to the nearest integer?
3
What is 3865 to the power of 1/8, to the nearest integer?
3
What is the tenth root of 1959 to the nearest integer?
2
What is the third root of 1424 to the nearest integer?
11
What is the ninth root of 70901 to the nearest integer?
3
What is 687 to the power of 1/2, to the nearest integer?
26
What is the third root of 67039 to the nearest integer?
41
What is the square root of 1804 to the nearest integer?
42
What is 3751 to the power of 1/5, to the nearest integer?
5
What is the seventh root of 1991 to the nearest integer?
3
What is the cube root of 157635 to the nearest integer?
54
What is 53928 to the power of 1/5, to the nearest integer?
9
What is the cube root of 81 to the nearest integer?
4
What is 14330 to the power of 1/3, to the nearest integer?
24
What is the square root of 74512 to the nearest integer?
273
What is 33413 to the power of 1/7, to the nearest integer?
4
What is the tenth root of 28549 to the nearest integer?
3
What is 3571 to the power of 1/2, to the nearest integer?
60
What is the square root of 1341 to the nearest integer?
37
What is 10491 to the power of 1/2, to the nearest integer?
102
What is the sixth root of 585 to the nearest integer?
3
What is 8942 to the power of 1/3, to the nearest integer?
21
What is the cube root of 1224 to the nearest integer?
11
What is 4095 to the power of 1/9, to the nearest integer?
3
What is 1478 to the power of 1/5, to the nearest integer?
4
What is the sixth root of 19008 to the nearest integer?
5
What is 11226 to the power of 1/10, to the nearest integer?
3
What is the square root of 22604 to the nearest integer?
150
What is 2660 to the power of 1/8, to the nearest integer?
3
What is 15604 to the power of 1/2, to the nearest integer?
125
What is 11579 to the power of 1/2, to the nearest integer?
108
What is 41014 to the power of 1/3, to the nearest integer?
34
What is 291 to the power of 1/9, to the nearest integer?
2
What is the square root of 27039 to the nearest integer?
164
What is 1237 to the power of 1/3, to the nearest integer?
11
What is 18231 to the power of 1/3, to the nearest integer?
26
What is 1870 to the power of 1/3, to the nearest integer?
12
What is the cube root of 31 to the nearest integer?
3
What is the fourth root of 7561 to the nearest integer?
9
What is the cube root of 100543 to the nearest integer?
46
What is the square root of 529 to the nearest integer?
23
What is 1162 to the power of 1/4, to the nearest integer?
6
What is the fourth root of 30867 to the nearest integer?
13
What is the third root of 2159 to the nearest integer?
13
What is the seventh root of 60388 to the nearest integer?
5
What is 21638 to the power of 1/2, to the nearest integer?
147
What is the ninth root of 27540 to the nearest integer?
3
What is 3657 to the power of 1/7, to the nearest integer?
3
What is the third root of 3394 to the nearest integer?
15
What is the fifth root of 13337 to the nearest integer?
7
What is the square root of 6320 to the nearest integer?
79
What is 54014 to the power of 1/2, to the nearest integer?
232
What is 34320 to the power of 1/2, to the neare
|
{
"pile_set_name": "DM Mathematics"
}
|
e -21 - -20 - (2 - 5).
2
Evaluate -3 + -3 - ((-11 - -7) + 0).
-2
Calculate -1 + -1 - (-7 - (14 + -13)).
6
What is the value of (0 - 0) + -5 + 7?
2
What is the value of (-4 - -1) + 13 + -3?
7
Calculate 1 + -3 + 2 + -1.
-1
Calculate (2 - 2) + -44 + 42.
-2
-11 + (-8 - -11) - -5
-3
Calculate 21 - 15 - (1 + -1).
6
What is 4 - (5 - (-3 + -2 + 2))?
-4
Calculate 4 - (20 + -11 + -6).
1
(-4 - -3 - 7) + 4
-4
(-7 - -11) + -5 - (-3 + -2)
4
Calculate -1 + -2 + 0 + 1 + -2.
-4
-14 + 11 + 3 + (1 - 0)
1
(5 - 5 - 4) + (3 - 1)
-2
What is -1 - (1 + 6 + -4) - 0?
-4
What is the value of 7 + -3 + 8 + -19 + 16?
9
What is the value of (3 + -10 - 0) + 5?
-2
What is 3 - (-9 - -5) - 4?
3
What is the value of (-107 - -102) + (3 - (2 + -3))?
-1
What is (-6 - 0 - -3) + 3 - 0?
0
What is the value of -1 + -5 - (79 - 79) - 0?
-6
Evaluate -2 - (-14 - -6 - -4).
2
What is the value of -6 - (1 + -2 + -3 + 0)?
-2
What is (-4 - -1) + -4 + 8?
1
2 - (-3 - (-4 + 3))
4
(3 - (2 + 5) - -2) + -1
-3
What is (3 - (4 + 2 + -1)) + 1?
-1
Calculate 3 - 1 - (-10 + 13).
-1
Evaluate -2 - (-2 - (-6 + 3 + -1)).
-4
What is -4 - (3 - 7 - 5)?
5
Calculate -13 - (0 - (-9 - -20)).
-2
What is the value of (-8 - -15) + (1 - 1 - 3)?
4
What is -22 + 27 - (1 + 7)?
-3
What is 1 + 4 + -1 - 4?
0
-29 - -31 - (-1 - (-1 - 3))
-1
Calculate -7 - (-3 + -5 - 3).
4
Calculate (-14 + 10 - (-10 + 2)) + -1.
3
Calculate (-4 - -2) + 0 + (8 - 10).
-4
What is the value of 4 + -10 - (-1 + 2) - 0?
-7
Calculate (3 - -4) + -16 - -5.
-4
(-3 + -5 - -2) + (-1 - -6)
-1
Calculate 38 - 36 - (2 - (0 - -5)).
5
Evaluate -7 + 10 - (2 + 0).
1
(2 - 1) + (7 - (9 + -2))
1
Evaluate -5 - 0 - (-6 + -7 - -6).
2
Calculate 5 + 3 + (6 - (19 - 6)).
1
(-3 + 3 - 6) + (2 - -1)
-3
What is 2 + 11 + (0 - 7)?
6
What is (-4 - (-3 - 0)) + -1?
-2
Calculate -1 - ((-5 - -12 - 5) + 1).
-4
What is the value of 1 - ((-1 - 1) + 1 + 2)?
0
Evaluate 1 - 6 - (3 + -6 - -1).
-3
5 + -10 + 10 - 1 - 4
0
2 + 1 + (1 - 9) - 1
-6
What is the value of 7 + -14 + 9 - 1?
1
Calculate -6 - (-15 + -3 + 10 + -1).
3
(-7 - -7 - -1) + 3
4
Calculate 2 - (11 - 6 - 8).
5
Calculate (-11 - 5) + 3 + (-1 - -5).
-9
Calculate (-5 - (-7 + -7)) + -2 + 0.
7
What is the value of (-13 - (3 + -14)) + 3?
1
What is 3 - (-6 - (-17 - -6))?
-2
What is the value of -3 - (-13 - 0 - -5)?
5
What is -2 + (0 - (-2 + 5))?
-5
What is (24 - 32) + 0 + -2 + 1?
-9
2 + -4 + 16 + -8 + -11
-5
Evaluate (-8 - -9 - 6) + 8.
3
-2 + (-3 - -6 - (3 + -1))
-1
Calculate 10 + -7 + 4 + -4 + -6.
-3
What is the value of 10 + (5 - 14 - 6)?
-5
Evaluate -20 - -17 - (0 - 3).
0
Evaluate (4 - 0) + -2 + 4 + -1.
5
Evaluate 4 - (-9 - -9) - 8.
-4
Calculate 0 + (-4 - -9) + -4.
1
Evaluate -11 + (-3 - (-3 - (6 - 1))).
-6
Calculate 3 + (3 - 0 - (-1 + 8)).
-1
Calculate 38 - 35 - (-1 - -9).
-5
What is 3 + (-3 - (-2 - -2))?
0
-4 + 4 + -4 - -7
3
What is -1 - (-5 - (0 + -5 + -3))?
-4
What is (9 - 8 - 2) + -2?
-3
What is -8 + 9 - (0 - -2)?
-1
What is 1 - 0 - (-5 + 5) - 0?
1
Evaluate -2 + 2 + (3 - (0 - -2)).
1
-5 + -1 - 0 - -5
-1
What is the value of 1 - -5 - (2 + 2) - -1?
3
Evaluate (3 - 5) + 6 + -3.
1
-4 + (5 - (3 - -1))
-3
Calculate (4 + 0 - 5) + -4.
-5
Evaluate 0 + -3 - -4 - 0.
1
Evaluate 4 + 2 + -4 + 2.
4
Calculate -6 - (-6 - 0 - (-29 + 27)).
-2
8 + (-1 - -8 - 12)
3
Evaluate (2 + -5 - 1 - -3) + -4.
-5
What is (2 - 2) + (-2 - (6 - 4))?
-4
-19 + (11 - 3) + 8
-3
Calculate -8 + 5 + (0 - 4 - -2).
-5
Calculate (8 - 1) + -12 - -11.
6
What is the value of 7 + -2 - -1 - 3?
3
(-1 - 1 - 2) + (-1 - -2)
-3
What is the value of -3 - ((-2 - 3) + -3 + 4)?
1
What is 6 + -5 + (1 - -4) - 0?
6
Evaluate -2 - (1 - (1 + 5)).
3
What is the value of 2 - (4 + (5 - 3) + -4)?
0
-3 + (9 - 27) - -11
-10
What is 7 - 4 - 7 - (0 - 3)?
-1
10 + (-5 - -2 - (-1 + 2))
6
-2 + -1 + 0 - (0 - 2)
-1
What is 2 - (-4 + 7 + -5)?
4
Evaluate 1 + -2 - (0 - -11) - -1.
-11
Calculate -2 - -4 - (6 - 3).
-1
What is -17 - -1 - ((11 - 5) + -13)?
-9
Calculate 3 + -7 + -2 + 8 + 3.
5
Calculate -8 - 0 - (37 - 41).
-4
What is the value of (3 + 1 - 5) + 2 + 4?
5
Calculate (2 - 4) + 1 + 4 + -1.
2
5 + (11 - (8 - -12))
-4
Calculate 1 + (0 - (-3 - -2)) + 2.
4
5 + -1 + -5 - (4 - 1)
-4
5 + (0 - 2) - 4
-1
What is the value of -11 + -2 + 9 - -5?
1
What is 6 + (2 - 9) - 1 - 2?
-4
-1 + (-2 - 0) + 0
-3
What is the value of 0 + (1 - 1) + -4?
-4
Calculate 5 + 6 + -21 + 9.
-1
What is the value of -3 - (-4 + -10 - -1)?
10
What is 5 + (8 - (7 + 5))?
1
Calculate -2 + (9 - -3) + -7.
3
9 + 0 - (14 - 1)
-4
What is -6 + (-4 - (12 + -20))?
-2
Calculate 14 + -15 + (1 - -5).
5
Evaluate (-6 - 1) + (-6 - (6 + -20)).
1
What is the value of 4 - ((8 - -2) + -2)?
-4
Evaluate -2 - (-5 + (1 - -3)).
-1
Evaluate 9 + (12 - 24) + 1.
-2
2 + -4 + 5 + -7
-4
Calculate -1 + (3 - (-7 + 12)) + 7.
4
Evaluate -4 + (7 - 7) + -2.
-6
Calculate -2 - ((2 - 2) + 3 + -8).
3
Calculate 9 - (-3 + 5 - 1).
8
What is the value of -2 - (0 - (-6 + 5))?
-3
Evaluate 6 - ((-5 - -5) + 1).
5
What is (-5 - -14) + -22 + 3?
-10
-4 + 4 + -3 + 4 + -3
-2
Evaluate (5 - 5) + 8 + -11.
-3
Evaluate -4 + (-8 - -10) - -1 - -2.
1
Calculate -5 + (-3 - 2) + 5.
-5
What is the value of 4 + (1 - (-4 - 4) - 7)?
6
What is the value of 1 + (-2 + 3 - 2 - 1)?
-1
What is 0 + (-4 - -8 - 6)?
-2
What is 6 - (-16 - -7 - -11)?
4
Calculate -13 + (3 - -11) + 3.
4
Evaluate -17 + 16 - (-5 + 0).
4
Evaluate (-3 + 0 - -5 - 2) + -4.
-4
What is the value of 7 - (1 - (7 - 9)) - 8?
-4
Evaluate -2 + -2 + (-15 - -14).
-5
What is -2 + 1 + -1 + 3?
1
Evaluate (-58 - -56) + (3 + -1 - -4).
4
What is the value of (4 - 1) + -1 + (-2 - 0)?
0
Calculate 0 - 1 - (-19 + 16).
2
Calculate 2 + 1 + 0 + -1 - 2.
0
What is 4 + -1 + -1 - (50 - 52)?
4
What is 0 + -2 + 3 + 1 + -4?
-2
Calculate 2 - (1 + (1 - (-3 + 1))).
-2
What is the value of (-23 - -9) + 35 + -11?
10
What is the value of -7 - (-10 + 1 - 3)?
5
What is the value of 2 - (5 - (2 + -3))?
-4
Evaluate (-1 - -9) + -4 - (6 - 1).
-1
What is 4 + 1 + -2 + -6?
-3
Evaluate 5 - ((1 - 2) + 6) - 4.
-4
What is (0 - 0) + -8 + (9 - 1)?
0
Calculate 110 - 105 - (1 - (-2 + -10)).
-8
-11 + 3 + (-1 - -4)
-5
Calculate (9 - (2 + -1 + 3)) + -5.
0
Evaluate 1 - ((-7 - -6) + -1 + 2).
1
-4 - (1 + (3 - 4) - 2)
-2
11 + 6 + (-21 - -8)
4
Evaluate (-8 - -8) + (-7 - (-4 + 2)).
-5
What is 9 + (0 + -3 - 3)?
3
Calculate -1 + 0 + -1 - (-24 + 22).
0
(-7 - -9) + (2 - -1) - 4
1
Evaluate 6 - ((-11 - -6 - -4) + -1).
8
Evaluate 0 + -1 + 0 + (-1 - -7).
5
What is the value of -7 - (3 + -7 - (3 - 6))?
-6
0 - -2 - (-23 + 14 + 4)
7
What is the value of -2 + 1 + (13 - (0 - -8))?
4
Calculate -12 - -3 - -18 - 9.
0
Calculate -3 + 3 + -4 + (8 - 0).
4
Evaluate 6 + -1 - (43 + -40).
2
Evaluate -7 - (-11 - (-11 + 10)).
3
Evaluate 10 - 9 - (-2 + 5) - 0.
-2
What is -4 - (1 + (0 - -3 - 5))?
-3
Calculate (2 - -3) + -7 + 0.
-2
26 - 30 - (0 + 1) - -1
-4
6 - (1 - (5 + -11 + 5))
4
Calculate (-1 - 13) + 0 + 2 + 3.
-9
Evaluate (5 - (11 + -5)) + 0 + -1.
-2
What is (2 - -2) + -6 - -8?
6
Calculate -1 - (2 + (-6 + 1 - 0)).
2
What is 9 - 9 - (4 - 1) - -5?
2
What is the value of -18 - (-14 + 2 + 4)?
-10
(1 + 5 - 5) + -1 + 3
3
What is 0 + -2 + 5 - (-14 + 7)?
10
What is 8 + -5 + 1 - 2 - -2?
4
(-8 - -4) + 5 + (-1 - 3)
-3
Calculate -7 + (2 - (-4 + 1)) - -6.
4
Calculate (-1 - -1) + 13 + -18 + 10.
5
1 + 4 + -2 - 4
-1
What is (4 - (-4 + 3 + 5)) + -2?
-2
Evaluate -7 + -8 + 4 + 9.
-2
Evaluate (0 - -3 - 2) + (-4 - -1).
-2
Calculate 26 - 26 - (4 - 2) - -7.
5
What is the value of (1 - -8) + (-10 - -6)?
5
What is 2 + -16 + 20 + -1 + -1?
4
What is (8 - (-5 - (-5 + -3))) + -10?
-5
Evaluate 3 + -4 - 0 - -1.
0
(-5 - (-8 + -1)) + -1
3
6 - (7 - 4) - -2
5
What is 2 - (-1 - (-1 - 2))?
0
Evaluate (-4 - (0 - -1)) + (0 - -1).
-4
Calculate 1 + 0 + 0 + (39 - 38).
2
What is the value of 13 - 7 - (1 - 0)?
5
-11 + (-1 - (-5 - 2))
-5
What is the value of 2 + (3 - 5 - -2) + 0?
2
Calculate 6 - -1 - (-4 + 7 + 1).
3
What is the value of (-3 - -1) + 6 + -7?
-3
4 + 1 + 0 - (73 + -67)
-1
-17 + 8 - -11 - (-2 + 1)
3
What is the value of (-6 - (-14 + (1 - -6))) + 8?
9
What is 2 + -2 + 7 - 12 - -2?
-3
What is the value of 4 + -4 + -2 + -3?
-5
Evaluate (2 - 2) + 12 + -13.
-1
Evaluate 2 - -4 - (-2 + 3 - -3).
2
-9 + 5 + 0 + 5
1
What is -3 + (-1 - -5) + -5 + 0?
-4
What is the value of (35 + -31 - (6 - -1)) + 5?
2
3 + (4 - ((-4 - -1) + 17))
-7
2 + 7 + 1 + -4
6
Calculate 1 - (2 + 0) - -2.
1
Evalua
|
{
"pile_set_name": "DM Mathematics"
}
|
- 14 for h.
3
Let x(r) = r**3 - r**2 + r + 3. Let b be x(0). Solve 4 = -5*w + b*w for w.
-2
Suppose 0*k - 4*k = -32. Solve 5*g - g = -k for g.
-2
Suppose 2*j + 6*j - 40 = 0. Solve n = j*n for n.
0
Let v(t) = 4*t**2 - 4*t + 2. Let n be v(2). Let m = n + -6. Solve m = -l + 3*l for l.
2
Suppose 2*g + 26 = -0*g. Let l be 4/(-10)*65/g. Solve 4 = 6*i - l*i for i.
1
Suppose -5*b + 36 = -29. Suppose 3*t + 5*s - 3*s = 23, t + 2*s = b. Suppose n - t*n = -12. Solve n*j = 2*j - 5 for j.
-5
Suppose 2*z + 42 + 0 = 0. Let q = z - -31. Let n be 2/5 - 56/(-10). Solve 4*p = n + q for p.
4
Suppose 5*v - 28 = 2*b - 4*b, b - 29 = -5*v. Solve -3*c + 0 = -v for c.
2
Let o be 21 - 2/1 - -2. Suppose 2*b - 10 = -b + 4*i, 0 = 4*i - 8. Let w be (2 - 20/b)*-3. Solve 9 - o = w*g for g.
-3
Let r be 75/5 - 3/1. Solve -r = -4*p + 8*p for p.
-3
Let w = 6 + 7. Suppose w = -5*l + x, -5*x + 11 + 10 = -3*l. Let b be l*2/(-4) - 0. Solve 5*k + b - 26 = 0 for k.
5
Let a(j) = 2*j**3 + j**2 - 1. Let s be a(1). Let h be -6*(-15)/(-6)*-1. Suppose -u = -3*k - 2*k + h, 2*k = -u + 6. Solve s = -5*i - k for i.
-1
Let v be (-3 - 4) + 2 + -1. Let l(a) = -a**3 - 7*a**2 - 7*a - 1. Let o be l(v). Solve -4*k = 25 - o for k.
-5
Let p be 1 - (-4 - -5 - 2). Suppose -p*m + h = 2*m - 11, 0 = m - 2*h + 6. Solve -m*t = -6 + 2 for t.
1
Suppose -2*i = i. Let s(m) = m**3 + 2*m**2 - 2*m - 3. Let y be s(-3). Let n be (-34)/y - (-1)/3. Solve u - n*u = i for u.
0
Let b(n) = n**3 - 5*n**2 + 5*n + 1. Let x be b(4). Suppose 4*h + 27 - 67 = 0. Solve h = x*j - 5 for j.
3
Suppose -3*j + 6 = -0. Let d = 32 + -20. Let g be (-4)/10 + (-96)/(-15). Solve d = g*m - j*m for m.
3
Suppose 3*y + 23 = 5. Let c(r) = 2 - r + 0 + 0. Let k be c(y). Solve v - k = -3*v for v.
2
Suppose -5*s + 145 = -0*s. Suppose 5 = -4*m + s. Suppose 4*c = -c. Solve 7*a - 4*a - m = c for a.
2
Let z(q) = 2*q - 3. Let p be z(2). Let w be 2/(p*-2) + 2. Let v = -31 + 36. Solve 2*g = v - w for g.
2
Suppose 0 = -4*j + j + 12. Suppose -5*u + j = -3*o, -3*o = -0*o - 3*u. Solve -o = 2*g + 4 for g.
-3
Let k(w) = w + 5. Let i be k(-5). Suppose 17*z - 14*z - 12 = i. Solve -3*j - z = -7*j for j.
1
Suppose 0 = 5*g - 19 + 79. Let n = g - -20. Solve -n - 4 = -4*f for f.
3
Let v(g) = -g**3 - 7*g**2 + g + 6. Let u be v(-7). Let h = u + 3. Suppose -3*k = 2*w - 0*k + 5, w + h*k + 5 = 0. Solve -l = -0*l - w for l.
5
Let k = -15 + 25. Suppose -23 = -5*m + 2. Suppose -m*t - 5 = 15, 4*i - 16 = -2*t. Solve i*p - p = -k for p.
-2
Let o(q) = -q**3 - 3*q**2 + 2*q - 6. Let a be o(-4). Solve a*n = 3*n - 3 for n.
3
Let n = 4 + -5. Let v be (0 - (9 - 2))*n. Solve -32 + v = 5*p for p.
-5
Suppose 2*v - 15 = -3*v. Suppose 10 = -h + 13. Let i = h - v. Solve 0 = 5*b - i + 5 for b.
-1
Let p(j) be the second derivative of -j**5/20 + j**4/4 + 5*j**3/6 - j**2 + 2*j. Let q = 15 + -11. Let i be p(q). Solve -i*m + 20 = 3*m for m.
4
Let m = 1 + 3. Let a(s) = -2*s + 5 - 4*s + 5*s. Let l be a(m). Solve 0 = -3*j + l + 5 for j.
2
Suppose 2*o - r - 8 = 0, 0 = -5*o - 4*r + r + 31. Solve -o*z - 10 = 15 for z.
-5
Let t be (-2)/(-2*1/4). Suppose t*w - w = -q - 14, 3*q = -w - 2. Let i be ((-4)/10)/(1/(-5)). Solve i*z + 5 = q for z.
-2
Suppose -6*a = -5*u - 4*a - 10, 3*a - 15 = -3*u. Solve -4 + u = 2*c for c.
-2
Suppose 4*m + 8 = 28. Suppose 0 = m*p - p - 4*t, 3*t - 10 = p. Solve 0*y + p*y = 0 for y.
0
Let p(o) = -65 + o**2 + 5*o**3 + 65. Let n be p(1). Solve -z - n = -3*z for z.
3
Let k(h) = 2*h**2 + 3*h + 3. Let g be k(-2). Suppose 0 = -10*o + g*o + 10. Let n be 0/(0/(-1) + 1). Solve w = -o - n for w.
-2
Let l(t) = -t**3 + 7*t**2 - 4*t - 8. Let x be l(6). Let c be x/6*(-75)/(-10). Solve 0 = -3*p + 4 + c for p.
3
Suppose m = -0*m. Suppose m = 2*c - 4 - 2. Solve -c*t + t = 0 for t.
0
Suppose u - 36 = -2*u. Suppose -7*z + u = -3*z. Solve -z*t - 9 = -0*t for t.
-3
Let q be (4 - 3) + (1 - 0)*1. Solve -2 - q = 4*s for s.
-1
Suppose -c + 6 = 2*k - 3*k, -4*k + 30 = 5*c. Let t = c + -1. Let a = 1 + t. Solve -a - 4 = -2*g for g.
5
Let z = -209 - -209. Let v(k) = -k**3 - k**2 + 4*k - 1. Let a be v(-3). Solve z - a = -t for t.
5
Let u(o) = o**2 + 7*o + 2. Let w be u(-7). Suppose -1 = w*s - 3. Solve -s = -5*i - 11 for i.
-2
Let i(g) = -6*g**2 - g + 7 + 5*g**2 - 3*g. Let j be i(-5). Suppose 0 = j*d - 9 + 3. Solve -d*y + y = 0 for y.
0
Suppose -s + 9 = 4*s + 4*t, -2*t - 8 = 0. Solve 0 = -2*g + 15 - s for g.
5
Suppose 0 = -4*o - 20, 0*o - 16 = -3*d - o. Suppose -d = m + w + 3*w, 0 = 2*w + 6. Solve m + 5 = 2*p for p.
5
Let o(p) = -p**3 + 5*p**2 - 3*p - 1. Let b be o(4). Let d(y) = y**3 + 5*y**2 + 3*y - 2. Let x be d(-4). Solve -b*q - 3 = -x*q for q.
-3
Suppose -3*b + 10 = -35. Suppose -3*u + b = -21. Suppose 5*p - u = p. Solve -p*w - 4 = -w for w.
-2
Let v = 13 - 11. Suppose -2*g + 24 = 3*g + v*a, 4*g = 3*a + 33. Solve 0 = -3*t + 3 - g for t.
-1
Suppose 5*b + 15 = 0, 4*r - 68 = b - 1. Suppose -5 = -c - 2. Solve o = -c*o - r for o.
-4
Let q = -5 - -12. Let s(a) = a**3 + 5*a**2 - 3*a - 5. Let u be s(-5). Let h = u - q. Solve 6 = -r + h for r.
-3
Let q be 2 + 0*1/(-2). Suppose 10 + 6 = q*a. Solve a = 4*m - 6*m for m.
-4
Let r be (1 + -3)/((-3)/(-15)). Let w be (-44)/r + (-4)/10. Suppose -w*n - 15 = -9*n. Solve -n*t + 1 = -4*t for t.
-1
Let v be (-8 + 8)*1/(2 - 1). Solve 2*t - 12 + 6 = v for t.
3
Suppose 2*k - 3*a = -18, 2*k - 8 = -4*a + 2. Let n be ((-2)/(-2))/(k/(-15)). Let c be (-2)/n - (-252)/30. Solve -f + c = f for f.
4
Let k be (-1)/1*2 - -4. Suppose k*v - v - 3 = 0. Solve 0 = -5*g + v + 12 for g.
3
Suppose z - 5*l - 16 - 9 = 0, -4*l - 16 = 0. Suppose f + 2*x - 10 = -3*f, -5*f + 5*x = -35. Solve -s - z = f*s for s.
-1
Let l(d) = 3*d + 1. Let h(m) = 6*m + 5 + 6*m + 2*m. Let c(b) = -2*h(b) + 11*l(b). Let i be c(1). Solve i*u - 3*u - 3 = 0 for u.
1
Let d = 2 - -1. Let q(c) = c + 18. Let y be q(0). Suppose -y = -4*m + 10. Solve -d*w - 8 - m = 0 for w.
-5
Suppose -3*l + 7*l = 92. Suppose -x = -3*q - 4*x + 12, -5*q + l = 4*x. Solve -1 = -2*z - q for z.
-3
Suppose -r - 35 = -4*i, -2*i = 3*r - 1 - 6. Suppose -2*v = 2*v - i. Solve 0 = -v*d - 0*d for d.
0
Suppose -4 - 20 = -2*m. Suppose 4*r + 0*h + m = 4*h, 17 = -3*r + 5*h. Solve -3 = p + r for p.
-4
Let r = 108 + -103. Solve -3*y + 4 = -r*y for y.
-2
Suppose i - 2 = 2. Solve i*r - 2*r + 10 = 0 for r.
-5
Suppose 0 = -4*q - q. Suppose q = -2*o - 0*o + x + 3, -1 = -5*o - 4*x. Solve -o = -0*s - s for s.
1
Suppose 0 = -5*t + 3 + 17. Let c = 201 - 196. Solve -t = n - c*n for n.
1
Suppose 3*a + 3*r - 21 = -r, 5*r - 15 = 0. Solve -5*c = -a*c - 10 for c.
5
Let f = 8 + -3. Solve 0 = -j - f + 1 for j.
-4
Let r be 6/(-21) - (-23)/7. Solve r*l = -l - 8 for l.
-2
Let s = -17 + 16. Let n = s - -6. Solve -w + n = -0*w for w.
5
Suppose -3*x = -4*z + 4 - 6, 0 = -4*z + 2*x. Suppose f + z = 3. Solve f = -2*q - 2 for q.
-2
Suppose -5*y = 3*m, 0 = 7*y - 3*y + 2*m - 2. Solve f + y*f = 0 for f.
0
Let q be (-1 - 43)*(-5)/(-10). Let l = -22 - q. Solve -o + 6*o - 10 = l for o.
2
Let s be -2 - 21*8/12. Let z = 28 + s. Solve 4*g + 0 = -z for g.
-3
Let z(y) = -y**3 - 7*y**2 - y - 4. Let q be z(-7). Let p = 5 - 3. Suppose 24 = r + r - 4*u, 4*r = -2*u - p. Solve -q + 5 = r*t for t.
1
Suppose -2*a + 5*b - 21 = 0, -a - b + 7 = -0*b. Let w be 2*-2*(-3)/6. Solve -w*x - a = -4*x for x.
1
Suppose 0*r + 2*o = r - 4, -2*o = -5*r + 20. Solve -r*g - 5 = -25 for g.
5
Suppose -4*n - 2*s - 2 = -5*n, 10 = 5*s. Let f be 4*-1 - 0/1. Let j = f + n. Solve 3*k + j = -7 for k.
-3
Suppose m = -0*m + 1. Suppose m = b + 6. Let y be ((-4)/b)/(2/5). Solve 0 = 4*l + 6 - y for l.
-1
Suppose -4 = 2*y - 30. Let u = 19 - y. Solve 2 = -4*p + u for p.
1
Let a be (-17)/(-5) - (-2)/(-5). Solve 0 = 3*w - 4*w - a for w.
-3
Suppose 0 = -10*t + 5*t. Suppose 5*k - 12 - 8 = 0. Solve t = -k*b - 0*b - 4 for b.
-1
Suppose -3*b - d = b - 53, -3*d - 21 = -3*b. Let s = 2 + b. Solve -4*t + 2 = s for t.
-3
Let p be ((-21)/12)/((-1)/4). Solve p*q = 3*q for q.
0
Suppose 5*o = -a + 10, -4*a + 2*a = 0. Solve o*f + 6 = -f for f.
-2
Let i = -10 + 15. Suppose 7 = 2*b + 2*x + i, -5 = -2*b + x. Solve 13 = 5*p - b for p.
3
Let j(d) be the second derivative of -d**3/6 + 3*d. Let i be j(-4). Suppose -2*u = y - 11, 2*u - 11 = -3*u + 3*y. Solve 5*x + i = u*x for x.
-4
Let g(u) = u + 1. Let p be g(-1). Let z = 5 - p. Suppose 5*x = -5*v + 55, z*v + 10 + 15 = 3*x. S
|
{
"pile_set_name": "DM Mathematics"
}
|
thousands digit of 21952?
2
What is the hundreds digit of 537?
5
What is the tens digit of 14963?
6
What is the thousands digit of 1218?
1
What is the units digit of 79640?
0
What is the tens digit of 3084?
8
What is the units digit of 2174?
4
What is the tens digit of 404?
0
What is the hundreds digit of 27817?
8
What is the tens digit of 17755?
5
What is the units digit of 8127?
7
What is the ten thousands digit of 19727?
1
What is the hundreds digit of 10762?
7
What is the tens digit of 518?
1
What is the units digit of 4291?
1
What is the hundreds digit of 7301?
3
What is the ten thousands digit of 90802?
9
What is the thousands digit of 19949?
9
What is the hundreds digit of 2524?
5
What is the hundreds digit of 100?
1
What is the hundreds digit of 48716?
7
What is the hundreds digit of 55653?
6
What is the hundreds digit of 36814?
8
What is the units digit of 880?
0
What is the ten thousands digit of 18072?
1
What is the thousands digit of 7991?
7
What is the hundreds digit of 58956?
9
What is the thousands digit of 41292?
1
What is the hundreds digit of 522?
5
What is the tens digit of 68943?
4
What is the units digit of 17777?
7
What is the thousands digit of 1523?
1
What is the tens digit of 40946?
4
What is the tens digit of 2516?
1
What is the tens digit of 86130?
3
What is the units digit of 1933?
3
What is the hundreds digit of 642?
6
What is the ten thousands digit of 57294?
5
What is the units digit of 612?
2
What is the hundreds digit of 1251?
2
What is the thousands digit of 14841?
4
What is the tens digit of 716?
1
What is the hundreds digit of 9401?
4
What is the thousands digit of 24644?
4
What is the tens digit of 840?
4
What is the tens digit of 66629?
2
What is the units digit of 2396?
6
What is the units digit of 896?
6
What is the hundreds digit of 36967?
9
What is the ten thousands digit of 71809?
7
What is the units digit of 241?
1
What is the thousands digit of 12443?
2
What is the tens digit of 5061?
6
What is the thousands digit of 20442?
0
What is the thousands digit of 1539?
1
What is the units digit of 20600?
0
What is the tens digit of 314?
1
What is the units digit of 12?
2
What is the thousands digit of 100104?
0
What is the hundreds digit of 499?
4
What is the units digit of 12116?
6
What is the thousands digit of 9803?
9
What is the ten thousands digit of 20633?
2
What is the tens digit of 5577?
7
What is the tens digit of 106942?
4
What is the units digit of 1171?
1
What is the tens digit of 50992?
9
What is the tens digit of 107303?
0
What is the thousands digit of 50460?
0
What is the tens digit of 2945?
4
What is the units digit of 140?
0
What is the units digit of 1189?
9
What is the hundreds digit of 13104?
1
What is the tens digit of 471?
7
What is the thousands digit of 1090?
1
What is the hundreds digit of 102729?
7
What is the thousands digit of 18490?
8
What is the hundreds digit of 16672?
6
What is the ten thousands digit of 18487?
1
What is the hundreds digit of 7696?
6
What is the tens digit of 2402?
0
What is the ten thousands digit of 29086?
2
What is the units digit of 541?
1
What is the ten thousands digit of 56179?
5
What is the hundreds digit of 1109?
1
What is the units digit of 7640?
0
What is the thousands digit of 4804?
4
What is the tens digit of 2868?
6
What is the units digit of 1508?
8
What is the hundreds digit of 45689?
6
What is the units digit of 4551?
1
What is the tens digit of 32783?
8
What is the thousands digit of 2978?
2
What is the hundreds digit of 22773?
7
What is the thousands digit of 9563?
9
What is the tens digit of 228?
2
What is the tens digit of 33289?
8
What is the tens digit of 3926?
2
What is the units digit of 2844?
4
What is the units digit of 5251?
1
What is the hundreds digit of 150651?
6
What is the ten thousands digit of 12262?
1
What is the tens digit of 75956?
5
What is the hundreds digit of 7879?
8
What is the tens digit of 3611?
1
What is the tens digit of 40920?
2
What is the thousands digit of 3715?
3
What is the ten thousands digit of 31633?
3
What is the units digit of 1367?
7
What is the thousands digit of 2405?
2
What is the tens digit of 287?
8
What is the ten thousands digit of 25576?
2
What is the thousands digit of 125377?
5
What is the units digit of 3713?
3
What is the tens digit of 1704?
0
What is the units digit of 72457?
7
What is the hundreds digit of 104469?
4
What is the tens digit of 40948?
4
What is the hundreds digit of 2052?
0
What is the hundred thousands digit of 128958?
1
What is the ten thousands digit of 81540?
8
What is the hundreds digit of 8015?
0
What is the tens digit of 5169?
6
What is the thousands digit of 1115?
1
What is the thousands digit of 149323?
9
What is the thousands digit of 5455?
5
What is the tens digit of 167843?
4
What is the units digit of 16371?
1
What is the thousands digit of 2095?
2
What is the tens digit of 52149?
4
What is the tens digit of 1122?
2
What is the thousands digit of 1528?
1
What is the hundreds digit of 48011?
0
What is the thousands digit of 91457?
1
What is the units digit of 637?
7
What is the hundreds digit of 43811?
8
What is the units digit of 465?
5
What is the units digit of 8704?
4
What is the tens digit of 5108?
0
What is the hundreds digit of 24061?
0
What is the hundreds digit of 2648?
6
What is the tens digit of 2176?
7
What is the hundreds digit of 19686?
6
What is the units digit of 406?
6
What is the units digit of 23680?
0
What is the units digit of 21898?
8
What is the thousands digit of 2520?
2
What is the hundreds digit of 1389?
3
What is the tens digit of 131401?
0
What is the hundreds digit of 92492?
4
What is the tens digit of 7687?
8
What is the tens digit of 58957?
5
What is the hundreds digit of 429?
4
What is the units digit of 961?
1
What is the units digit of 5453?
3
What is the thousands digit of 24282?
4
What is the thousands digit of 1418?
1
What is the thousands digit of 4496?
4
What is the tens digit of 326?
2
What is the tens digit of 2357?
5
What is the units digit of 1348?
8
What is the hundreds digit of 1030?
0
What is the hundreds digit of 12927?
9
What is the tens digit of 701?
0
What is the hundreds digit of 1392?
3
What is the thousands digit of 2249?
2
What is the ten thousands digit of 97759?
9
What is the hundreds digit of 41692?
6
What is the thousands digit of 60279?
0
What is the hundreds digit of 3892?
8
What is the units digit of 833?
3
What is the thousands digit of 26158?
6
What is the hundreds digit of 193790?
7
What is the hundreds digit of 116783?
7
What is the hundreds digit of 52929?
9
What is the tens digit of 1056?
5
What is the hundreds digit of 243?
2
What is the hundreds digit of 61738?
7
What is the tens digit of 4451?
5
What is the hundreds digit of 1081?
0
What is the units digit of 434?
4
What is the units digit of 1470?
0
What is the thousands digit of 5837?
5
What is the units digit of 1273?
3
What is the units digit of 1409?
9
What is the thousands digit of 9613?
9
What is the tens digit of 25958?
5
What is the tens digit of 532?
3
What is the tens digit of 16747?
4
What is the tens digit of 92?
9
What is the thousands digit of 7800?
7
What is the units digit of 5709?
9
What is the ten thousands digit of 49046?
4
What is the hundreds digit of 790?
7
What is the thousands digit of 12292?
2
What is the thousands digit of 151478?
1
What is the tens digit of 1596?
9
What is the hundreds digit of 2911?
9
What is the units digit of 1291?
1
What is the units digit of 10290?
0
What is the thousands digit of 150027?
0
What is the units digit of 11024?
4
What is the hundreds digit of 99743?
7
What is the units digit of 1452?
2
What is the tens digit of 434?
3
What is the units digit of 459?
9
What is the hundreds digit of 808?
8
What is the units digit of 7447?
7
What is the tens digit of 94?
9
What is the units digit of 1353?
3
What is the units digit of 795?
5
What is the tens digit of 3366?
6
What is the units digit of 13415?
5
What is the units digit of 97611?
1
What is the thousands digit of 85818?
5
What is the hundreds digit of 1526?
5
What is the ten thousands digit of 30887?
3
What is the hundreds digit of 362?
3
What is the units digit of 27857?
7
What is the units digit of 186?
6
What is the hundreds digi
|
{
"pile_set_name": "DM Mathematics"
}
|
a. Determine r(-8).
-9
Let x(a) be the second derivative of 16*a**3/3 - a**2/2 + 1366*a. Let y = 16 - 15. What is x(y)?
31
Let i(a) = -5. Suppose 3*u + 3 = 0, 5*j = -4*u + u + 17. Let y(c) = -c + 6. Let z(t) = j*i(t) + 3*y(t). Suppose -372*r + 1809 = 1239*r - 1413. What is z(r)?
-8
Let m(w) = w + 8. Suppose -28 + 40 = 2*s. Let j be ((-28)/(-21))/((-1)/s). Give m(j).
0
Suppose -n - 135 = -4*n. Let r = n + -43. Let l(h) = 10 + h**3 - 34*h - 36*h - 7*h**r + 61*h. Give l(8).
2
Let c(l) = l**3 - 4*l**2 - 13*l + 7. Let s(f) = 799*f + 7197. Let q be s(-9). What is c(q)?
1
Suppose 0 = -95*k + 83*k + 1944. Let s(f) = -f + k - f + f - 147. Calculate s(9).
6
Let t(c) = 17 - 7 + 5*c - 45 + 5*c. Calculate t(10).
65
Let s(r) = 3*r**2 - 9*r - 4. Let q(o) = 8*o**2 - 26*o - 11. Let j(b) = 4*q(b) - 11*s(b). Suppose 30 = -2*f - 5*t + t, 0 = 2*t + 8. Determine j(f).
-14
Let l(g) = 2*g**2 + 38*g + 30. Suppose 874 = -118*x - 1250. Determine l(x).
-6
Let f = -8644 + 8640. Let b(s) = 3*s**3 + 5*s**2 - 4*s - 1. Calculate b(f).
-97
Suppose -3*o + 5*w = -6, -o - 21 = 4*w - 6. Let s(l) be the first derivative of -5*l**2/2 - 4*l + 48399. Give s(o).
11
Let r(g) = -8*g + 13. Let o(d) = 9*d - 15. Let v(w) = -7*o(w) - 8*r(w). What is v(-11)?
-10
Let a(g) = g**3 + g + 8. Let m(i) = 6*i**2 + 355*i + 59. Let n be m(-59). What is a(n)?
8
Suppose 546 = 15*l - 234. Let y be -44 + -6*(-1)/(-2). Let f = y + l. Let k(z) = -z**3 + 4*z**2 + 4*z + 6. Determine k(f).
1
Let a(b) = 7*b - 4. Let g(k) = -k**2 + 12*k + 31. Let j be g(14). Suppose -5*o + 1 = -19, -4*h + 28 = -j*o. Let c be (2 - 1)/(h/30). Calculate a(c).
17
Let i = -371 + 368. Let j(h) = 2*h**3 + 11*h**2 - 12. Let l(t) = -t**3 - t**2 - 2*t + 1. Let o(g) = i*l(g) - j(g). Give o(7).
2
Let l be -4 - (-3)/((-18)/(-30)). Let k(x) = -x. Let j(z) = -5*z - 3. Let p(v) = l*j(v) - 6*k(v). Give p(5).
2
Let b(g) = -g**3 - 3*g**2 - g + 1. Let w(t) = 52*t - 49. Let s be w(1). Determine b(s).
-56
Suppose 21 = -k + 5. Let y be (-8)/k*(26 - 0/(-2)). Let x(g) = -3 - 4 + y*g**2 + 14*g**2 - 6*g - 28*g**2. Determine x(-6).
-7
Let g(a) = -21*a - 6. Let p = -5955 + 5958. Give g(p).
-69
Let s be (-135)/60 - 5/(-4). Let c be (5 - 3)/(0 + s/(-7)). Let j be (-1)/(((-3)/(-21))/(4/c)). Let q(o) = 2*o - 1. Determine q(j).
-5
Let u(i) be the third derivative of -i**5/60 - i**4/8 + i**3/3 - 2*i**2. Let h = -462 + 458. Determine u(h).
-2
Let s = -3 - 4. Let b = 351 + -346. Let q(f) = -487 + b*f - 4*f + 492. Calculate q(s).
-2
Suppose -8*n + 144 = 4*n. Suppose -5*i + 2*p = n, -3*i + 3*p = -0*p + 9. Let l(y) = -8*y**2 - 3*y. What is l(i)?
-26
Let l(i) = -i**2 + 10*i - 10. Suppose 0*z = -4*z + 12. Let y(o) = 23*o + 3. Let f(q) = -9*q - 1. Let b(h) = -8*f(h) - 3*y(h). Let t be b(z). Calculate l(t).
6
Suppose -34 = -4*i - b - 5, 3 = 3*b. Let x(l) = 89*l**2 + 6*l - 3. Let u(m) = 163*m**2 + 12*m - 4. Let y(d) = -6*u(d) + 11*x(d). Determine y(i).
-2
Suppose -3*m - 4*k = 2*m - 37, 24 = 2*m - 3*k. Let s be 9*(1 + (-6)/m). Suppose s*a + 8 = -10. Let u(x) = -2*x + 3. What is u(a)?
15
Suppose 8*r = 521 - 1. Let j = -60 + r. Let o(f) = 4*f + 15*f**2 - 10*f**2 - 9*f**2 + j - f**3. Calculate o(-4).
-11
Let c be (-4)/46 + (-48622)/529. Let j be (c/(-138))/((-4)/(-18)). Let u(r) = -r**3 + r**2 + 3*r - 4. What is u(j)?
-13
Let y(t) be the third derivative of -t**5/12 + t**4/6 + 3*t**3/2 + 23*t**2 - 27*t - 3. What is y(3)?
-24
Let p(y) = 12*y + 11 + 0*y**3 + 3*y**3 - 2*y**3 + 11*y**2. Suppose 26 = 3*u - 4*r, 0 = u + 5*r + 4. Suppose 10*j + 40 = u*j. Determine p(j).
-9
Let a(o) be the first derivative of o**2 + 12*o + 1650. Determine a(-9).
-6
Suppose -12 = -6*a + 8*a. Let b(w) = w**3 + 6*w**2 - 3*w - 13. Let z be b(a). Suppose -3*u - l = l - 34, -5 = z*l. Let x(q) = -q**2 + 12*q - 6. Give x(u).
-6
Let g be ((-1056)/(-80))/11*5/(-2). Let u(s) = 3*s + 4. Give u(g).
-5
Suppose -4 = -41*k + 37*k, -k = 3*s + 83. Let w(h) = -h - 20. What is w(s)?
8
Let b(o) be the first derivative of o**4/4 - 11*o**3/3 + o**2/2 - 16*o + 2. Suppose -8*v = 4*s - 9*v - 48, 4*s - 4*v = 60. Calculate b(s).
-5
Let u be (-854)/56 - (-1)/4. Let n(j) = -69*j - 7. Let y(d) = -32*d - 4. Let x(s) = 6*n(s) - 13*y(s). Calculate x(u).
-20
Let z(h) = h**2 - 12*h + 1. Let j be z(13). Let f(q) = -j*q - 7*q + 36*q - 14*q - 5*q**2. Let s be (-2 + 0 + 0)/(-2). Give f(s).
-4
Let k(v) = -3*v - 25. Let g(z) = -z**3 + 33*z**2 - 31*z - 32. Let x be g(32). Suppose x = -s - 28*s - 290. Determine k(s).
5
Suppose 0 = -111*m + 41*m + 70. Let r(u) be the second derivative of u**4/3 - u**3/6 + u**2/2 - u. Let x(j) be the first derivative of r(j). Give x(m).
7
Let a(w) = 2*w**2 + 5*w + 2. Let r be (-160)/(-64)*20/(-25). Give a(r).
0
Suppose -3*m + 218 = -76. Let u(y) = -10*y + m - 48 - 50. Let o = -1 + 0. What is u(o)?
10
Suppose -2*q + 54 = 16*q. Let h(n) = 2*n + 549*n**q - 1103*n**3 + 553*n**3 + 6 + 6*n**2. Calculate h(6).
18
Let d(u) = 145 - 68 + 285 + 21*u. What is d(-17)?
5
Let p(z) be the second derivative of -z**5/20 + 2*z**4/3 - 7*z**3/6 - 2*z**2 + z. Let b = 8884 + -8877. What is p(b)?
-4
Let g(m) be the third derivative of m**7/840 - 7*m**6/360 + m**5/20 + 5*m**4/24 + 13*m**3 + 2*m**2 + 100. Let c(i) be the first derivative of g(i). Give c(5).
-15
Let j(a) = 3*a**2 - 2*a**2 + 21414*a - 21417*a - 4. Let f = 12 + 13. Suppose 0 = -2*s - 3*s + f. What is j(s)?
6
Suppose -5*a - 5*q - 25 = 0, 178*a - 175*a = 3*q + 9. Suppose 2*y = -6 + 16. Let j(r) = -2 + y*r + 3 - 4*r + 10*r**2. Calculate j(a).
10
Let v(p) be the second derivative of p**4/6 - 5*p**3/6 - 30*p**2 - 105*p - 16. Calculate v(-5).
15
Let o(v) = -17*v**2 + 5*v. Let x be 8/((-32)/(-3))*12. Let y(i) = 35*i**2 - 11*i. Let z(r) = x*o(r) + 4*y(r). What is z(1)?
-12
Let t be (-32)/16*(9/(-6) - 2). Let m(f) = -16*f + 119. Calculate m(t).
7
Let o(c) = -4*c + 123. Let i be 25 + 0 + 228/532 + (-33)/(-21). Give o(i).
15
Let c(j) = -8*j - 235. Let l(d) = 3*d + 83. Let y(v) = 6*c(v) + 17*l(v). Let h = -6 + 3. Let a be h*(-3 - 30/(-9)). What is y(a)?
-2
Suppose -5*l = 4*t - 2, 0 = 4*t - l - 1090 + 1076. Let i(d) = d + 13. Let k be i(-7). Let w(y) = -4*y**t - 4*y + k + 13*y**2 - 8*y**2 + 3*y**3. Give w(5).
-14
Let r be 10/4 + (-3)/6. Let m(w) be the first derivative of -21 - 1/2*w**2 - w + 1/3*w**3. Determine m(r).
1
Let d(h) = -16*h**2 + 144*h + 2. Let m be d(9). Let w(t) be the first derivative of 7/2*t**2 - m*t + 1/3*t**3 + 2. What is w(-5)?
-12
Let m(t) = 7*t**3 + 23*t**2 - 13*t + 1. Let n(p) = 15*p**3 + 49*p**2 - 28*p + 1. Let i(q) = -13*m(q) + 6*n(q). Give i(-6).
23
Let i = -5 - -7. Let u(p) = i + 0 + 0 + 2*p. Let d = -69 + 71. Determine u(d).
6
Let n(z) be the third derivative of z**6/120 - z**5/12 - 5*z**4/24 + z**3/2 + z**2. Let q = 479 + -335. Let u = -138 + q. Give n(u).
9
Suppose -4*x = -4*b, -5*x + 20 = -0*x. Suppose -2*f + 5 = -s, b*f + s = 9*f - 11. Let h(l) = -8*l - l**2 + 4*l - l**2 + 0*l**f. What is h(-4)?
-16
Let u(r) = -r**2 - 10*r + 4. Let z(x) = -x. Let g be 6/9 - 20/12. Let q(b) = g*u(b) + 4*z(b). Determine q(-3).
-13
Suppose -5*h = l - 2, 1 = 5*h + 4*l - 7. Let s(m) be the first derivative of -15 - 8*m - 1/2*m**2. What is s(h)?
-8
Let v(y) = y**2 - 5*y. Let x(s) = 6*s**2 + 23*s - 2. Let u(t) = 4*v(t) - x(t). Give u(-20).
62
Let s(w) = 3 - 1 - w**2 - 1 + 2*w. Let n(q) = -161*q**3 + 2*q + 1. Let y be n(-1). Let v = y - 161. What is s(v)?
-2
Suppose -17*n + 144 = 110. Let q(u) = 3*u**2 + 9*u - 25. Determine q(n).
5
Let b be 27/(-18)*(-4)/(-6). Let l be -2 - ((-3)/b)/((-6)/(-8)). Let c(n) = -1 - 2*n - 6*n**2 - n**3 + 7 + 5*n. Determine c(l).
-12
Suppose 68 = 110*u - 262. Let z(v) = -v + 34. Calculate z(u).
31
Let w be ((-9)/12)/(((-45)/(-36))/5). Suppose -2*i + 4 + 2 = 0. Let s(x) = x + i - 3*x + 2*x**2 + 2*x. Give s(w).
21
Let i(s) = s + 0*s**3 - 5*s**3 + 5 - 4 + 396*s**2 - 396*s**2. Give i(-1).
5
Suppose 363 = -70*w + 67*w. Suppose 3*o + 356 = -2*q, -q - 61 = o + 56. Let s = w - o. Let l(j) = -19*j. Determine l(s).
-19
Let g be (-1970)/(-140) + (-2)/28 + -11. Let d(f) be the first derivative of f**2 - 1/3*f**g + 5*f + 13. Calculate d(4).
-3
Suppose -5*u - 91 + 121 = 0. Let c(f) be the second derivative of -f**3/6 + 3*f. Let a(w) = -w**2 + 14*w - 9. Let g(v) = -a(v) - 6*c(v). Determine g(u).
-3
Let i(a) = 12 - 12 + 3 - 2*a. Suppose -13*v + 11*v = -3*h - 13, -2
|
{
"pile_set_name": "DM Mathematics"
}
|
50 or -6857?
-6857
Which is greater: 1.628 or 884?
884
Is 59426/11 greater than 5401?
True
Which is smaller: -4/11 or -39?
-39
Is 98.9 greater than -4/1247?
True
Is 35 smaller than 1160/33?
True
Which is smaller: 1128 or 990?
990
Do -5796 and -5847 have different values?
True
Which is bigger: -7/3767 or 1?
1
Which is smaller: -9.77 or 0.344?
-9.77
Which is greater: 4927 or 4720?
4927
Is -25314/19 > -1331?
False
Which is smaller: 3716 or 3963?
3716
Is 1/3 smaller than -1065620?
False
Is 67 less than 13222?
True
Which is smaller: 0 or -3/872429?
-3/872429
Is 1/28 > -295/78?
True
Which is smaller: -1407 or -1410?
-1410
Is 581 < 187?
False
Do -17574 and -17581 have the same value?
False
Is -1/45839 smaller than 1?
True
Is -12 smaller than -1051/85?
False
Is 0 < 4/51351?
True
Which is greater: 537677 or 537679?
537679
Is 26885 < 26887?
True
Which is smaller: -96 or -1.9?
-96
Which is smaller: -4187 or -4368?
-4368
Is 0 < -153/895?
False
Is -666470 bigger than -666469?
False
Which is smaller: 1626 or 2245?
1626
Do 2619918 and 2619918 have the same value?
True
Is 17 at least as big as 2910/181?
True
Which is smaller: -2 or -4099?
-4099
Which is smaller: -318/5 or 0.113?
-318/5
Does -0.02 = -22/6387?
False
Which is smaller: 121885.02 or 2/7?
2/7
Which is greater: 114130 or 114129?
114130
Is -982 < -1602?
False
Which is smaller: -1 or 2/160145?
-1
Which is smaller: 71/117 or -1?
-1
Which is bigger: -2/199785 or -18?
-2/199785
Which is smaller: 0 or 0.077857?
0
Which is smaller: -65213 or -65216?
-65216
Is -3332 <= -42?
True
Which is smaller: -285 or -476?
-476
Which is greater: -1/241269 or -1?
-1/241269
Which is bigger: 1438 or 605?
1438
Which is greater: 13973484/11 or 1270316?
13973484/11
Do 2465 and 4927/2 have the same value?
False
Is 1 less than 1/876451?
False
Which is bigger: 896 or 367?
896
Which is smaller: -3.99 or -23?
-23
Which is smaller: 1 or 3/59779?
3/59779
Do -3368 and -3362 have the same value?
False
Is 5040 less than 4311?
False
Does 1399 = 1404?
False
Which is smaller: 423552 or 2/7?
2/7
Which is bigger: 1/21709 or 1?
1
Which is bigger: -15039 or -15038?
-15038
Is -486 at least as big as -73?
False
Is -1071 greater than -977?
False
Is 2127 greater than -28?
True
Is 504 smaller than 88?
False
Is -919133 >= -919131?
False
Which is smaller: -1 or -1/11678036?
-1
Which is smaller: -22/7 or 852.5?
-22/7
Is -209062 less than or equal to -209061?
True
Is 7.2 equal to 9/5?
False
Is -1/5 < 70168?
True
Which is bigger: 4087/4 or 1/83?
4087/4
Is -3/695611 greater than 0?
False
Is -1477 less than -25130/17?
False
Do 3027/11 and 275 have different values?
True
Is 0.0583 greater than or equal to 146?
False
Is -2/7 bigger than 5127977?
False
Is 86497 greater than 86497?
False
Is -4/16219 at most 3?
True
Is -74878 smaller than -74907?
False
Which is bigger: 102831 or 102830?
102831
Is 9/8 equal to -12/125?
False
Is -1 at least as big as -6500163?
True
Which is greater: 73 or 178?
178
Which is smaller: 16/5 or -333?
-333
Which is smaller: 1474 or 1466?
1466
Is 743 bigger than 741?
True
Which is bigger: -9/4 or 28400?
28400
Which is smaller: 8/27085 or 1?
8/27085
Which is greater: -72933/8 or -9116?
-9116
Is -172 at least -32328/187?
True
Is 1/1580957 <= 1?
True
Is -0.0988 bigger than -0.23?
True
Is 374382 less than or equal to 374383?
True
Is -380254 greater than or equal to -380254?
True
Do 1 and -5/5053 have the same value?
False
Is 0 <= 3/1375610?
True
Which is bigger: 2/167 or -1?
2/167
Which is smaller: 1544 or -1364?
-1364
Which is smaller: 63692 or 63690?
63690
Which is smaller: 9277 or 9261?
9261
Is -22866/257 > -90?
True
Does 161262/115 = 1401?
False
Which is bigger: -80218 or -2/5?
-2/5
Which is smaller: 53800.9 or 0?
0
Which is bigger: -2/397515 or 1?
1
Is -453517 greater than -453514?
False
Is 0.1 at least as big as 8.88991?
False
Is 1/689581 at most 1?
True
Is 3/103225 greater than -1?
True
Which is greater: 2134 or 2126?
2134
Is 0.4 at most as big as 9672?
True
Is -4/5573379 at least -1?
True
Which is greater: 7805/2 or 2?
7805/2
Is 19349 at most as big as 19348?
False
Which is smaller: 124284/161 or 771?
771
Is -100/6047 at most as big as -1?
False
Which is smaller: -0.24 or -1235/2?
-1235/2
Do 1/933379 and 0 have the same value?
False
Which is bigger: -2050 or 300?
300
Which is greater: 153636 or 153637?
153637
Is -440 greater than 169?
False
Do -3231 and 3/5 have the same value?
False
Does 4254 = 4518?
False
Is 107844 at least as big as 107844?
True
Are -1098904 and -1098905 non-equal?
True
Which is smaller: -11013/736 or -16?
-16
Which is greater: -118 or 2158?
2158
Which is bigger: 1/3 or 215/36?
215/36
Which is smaller: -1753 or -1915?
-1915
Are 0 and -3/120779 nonequal?
True
Are -8649 and -8648 equal?
False
Is -9357 smaller than -9163?
True
Is 20417 not equal to 204169/10?
True
Are 27096 and 9/44 equal?
False
Which is greater: 3337/104 or 31?
3337/104
Which is smaller: -1421 or -22739/16?
-22739/16
Are 1 and -62/61421 unequal?
True
Are 1/60 and 127/5 nonequal?
True
Which is smaller: -57078 or -57079?
-57079
Which is bigger: -100445 or -100440?
-100440
Is 22 at least -0.11399?
True
Is 132860/9 at most 14761?
False
Which is bigger: 99 or -629?
99
Are 42 and 687/16 unequal?
True
Which is smaller: 75.7 or -2.26?
-2.26
Which is bigger: 26/6269 or -1?
26/6269
Which is smaller: 87 or 357/4?
87
Which is smaller: -0.093 or -28.85?
-28.85
Which is greater: 2248 or -48?
2248
Which is smaller: -120779 or -362333/3?
-120779
Is 10/9 less than 3.616?
True
Which is bigger: -145974/7 or -20853?
-20853
Is 33371 smaller than 33374?
True
Which is bigger: 118 or -5.338?
118
Is -2598 at most -10.5?
True
Which is smaller: 101095/3 or 33697?
33697
Is 643 greater than or equal to 321?
True
Which is smaller: 3258 or -18/23?
-18/23
Which is greater: -125228 or 1/4?
1/4
Which is smaller: 0.002 or -509?
-509
Is -3254 bigger than -3286?
True
Is -99231 < -99230?
True
Does 1 = -22/3005?
False
Which is smaller: 0 or -1/1798966?
-1/1798966
Which is smaller: 0 or 24/51505?
0
Do 0 and -224/7163 have the same value?
False
Is 8989 less than or equal to 53933/6?
False
Which is smaller: 3019472/5 or 603895?
3019472/5
Which is greater: -9163 or 20/37?
20/37
Which is smaller: -85097 or 1?
-85097
Which is bigger: -39128 or -39129?
-39128
Which is greater: -331223 or -331224?
-331223
Which is bigger: 42655/46 or 926?
42655/46
Is -51146 > -51147?
True
Is -140950 at most as big as -140950?
True
Which is smaller: -0.75 or 23.8?
-0.75
Which is smaller: 13173 or 13123?
13123
Which is smaller: -4 or -610/159?
-4
Which is greater: 189503 or 189504?
189504
Which is bigger: 823 or 327?
823
Are -1/485 and 117 unequal?
True
Which is bigger: 99242 or 99253?
99253
Which is greater: -181920 or -1273432/7?
-1273432/7
Which is smaller: -2321189 or -2321191?
-2321191
Is 1779 != 1668?
True
Is -812/1339 bigger than -1?
True
Which is bigger: 0.09 or 152078?
152078
Which is smaller: -1471214 or 0.2?
-1471214
Which is smaller: 128240 or 0.045?
0.045
Which is smaller: 78528/23 or 3414?
3414
Which is greater: -1008/401 or -4?
-1008/401
Which is smaller: -2/595473 or 1?
-2/595473
Is 1/2 at most as big as -3/6685?
False
Is 19001 at least 19007?
False
Which is smaller: -11/5603 or -1?
-1
Which is smaller: -88 or -40/13?
-88
Which is smaller: -35 or 90?
-35
Do 1238 and -5.3 have the same value?
False
Is -0.01 at least as big as 28166?
False
Which is smaller: 1 or 294/3499?
294/3499
Which is bigger: 2/5 or 5.40842?
5.40842
Which is smaller: -3635 or -3589?
-3635
Which is smaller: 2/6890209 or 1?
2/6890209
Which is smaller: -1/24026 or 1/3?
-1/24026
Is 1 < 1875?
True
Which is bigger: 2118 or 2114?
2118
Which is smaller: 792740/7 or 113250?
792740/7
Which is bigger: -16269 or 5?
5
Which is smaller: 16282 or 16293?
16282
Are 25 and -1353 equal?
False
Does -1434/1771 = -2?
False
Is 284 smaller than -408?
False
Do 2222566 and 2222565 have the same value?
False
Is 769 less than or equal to 865?
True
Which is smaller: 985 or 1033?
985
Is 1167 greater than 1158?
True
Which is smaller: 1425/1033 or 1?
1
Which is bigger: -85614 or -85615?
-85614
Does -201 = -3139?
False
Which is smaller: 234 or 243?
234
Is 204066/29 at most as big as 7037?
True
Is 50682 >= 50680?
True
Are -160910 and -0.1 non-equal?
True
|
{
"pile_set_name": "DM Mathematics"
}
|
is divided by 22?
21
What is the remainder when 571 is divided by 182?
25
What is the remainder when 70487 is divided by 53?
50
Calculate the remainder when 17 is divided by 6.
5
Calculate the remainder when 95 is divided by 33.
29
What is the remainder when 1007 is divided by 207?
179
Calculate the remainder when 4751 is divided by 88.
87
Calculate the remainder when 1645 is divided by 820.
5
Calculate the remainder when 8684 is divided by 119.
116
What is the remainder when 24108 is divided by 57?
54
What is the remainder when 226 is divided by 66?
28
Calculate the remainder when 973 is divided by 118.
29
What is the remainder when 695 is divided by 130?
45
What is the remainder when 282 is divided by 97?
88
What is the remainder when 130 is divided by 6?
4
Calculate the remainder when 1076 is divided by 83.
80
Calculate the remainder when 4835 is divided by 283.
24
Calculate the remainder when 221 is divided by 28.
25
What is the remainder when 351 is divided by 35?
1
Calculate the remainder when 1473 is divided by 122.
9
What is the remainder when 331 is divided by 15?
1
What is the remainder when 71 is divided by 27?
17
What is the remainder when 39 is divided by 22?
17
What is the remainder when 4277 is divided by 237?
11
Calculate the remainder when 1018 is divided by 30.
28
What is the remainder when 197 is divided by 137?
60
Calculate the remainder when 102 is divided by 28.
18
Calculate the remainder when 1191 is divided by 132.
3
What is the remainder when 695 is divided by 24?
23
What is the remainder when 190 is divided by 8?
6
What is the remainder when 162 is divided by 15?
12
Calculate the remainder when 26714 is divided by 13.
12
What is the remainder when 1194 is divided by 57?
54
Calculate the remainder when 184 is divided by 92.
0
What is the remainder when 150 is divided by 80?
70
What is the remainder when 240 is divided by 9?
6
What is the remainder when 510 is divided by 16?
14
Calculate the remainder when 7266 is divided by 40.
26
Calculate the remainder when 2092 is divided by 9.
4
Calculate the remainder when 299 is divided by 104.
91
What is the remainder when 235 is divided by 9?
1
Calculate the remainder when 219 is divided by 59.
42
What is the remainder when 671 is divided by 25?
21
Calculate the remainder when 638 is divided by 92.
86
What is the remainder when 1078 is divided by 42?
28
What is the remainder when 2631 is divided by 85?
81
Calculate the remainder when 27 is divided by 2.
1
Calculate the remainder when 1017 is divided by 15.
12
Calculate the remainder when 105 is divided by 44.
17
Calculate the remainder when 173 is divided by 38.
21
What is the remainder when 91 is divided by 49?
42
Calculate the remainder when 400 is divided by 91.
36
Calculate the remainder when 575 is divided by 32.
31
What is the remainder when 31 is divided by 11?
9
Calculate the remainder when 1074 is divided by 179.
0
Calculate the remainder when 275 is divided by 38.
9
What is the remainder when 67 is divided by 9?
4
What is the remainder when 237 is divided by 64?
45
Calculate the remainder when 214 is divided by 73.
68
What is the remainder when 1407 is divided by 54?
3
Calculate the remainder when 513 is divided by 33.
18
Calculate the remainder when 1907 is divided by 1893.
14
What is the remainder when 430 is divided by 55?
45
What is the remainder when 215 is divided by 40?
15
Calculate the remainder when 543 is divided by 6.
3
Calculate the remainder when 49 is divided by 28.
21
What is the remainder when 1478 is divided by 74?
72
What is the remainder when 109 is divided by 39?
31
What is the remainder when 628 is divided by 166?
130
What is the remainder when 444 is divided by 112?
108
Calculate the remainder when 823 is divided by 8.
7
Calculate the remainder when 1892 is divided by 5.
2
What is the remainder when 322 is divided by 3?
1
What is the remainder when 220 is divided by 17?
16
Calculate the remainder when 327 is divided by 279.
48
What is the remainder when 111 is divided by 57?
54
Calculate the remainder when 56 is divided by 23.
10
Calculate the remainder when 101 is divided by 51.
50
What is the remainder when 8456 is divided by 141?
137
What is the remainder when 375 is divided by 43?
31
What is the remainder when 80 is divided by 41?
39
Calculate the remainder when 4594 is divided by 63.
58
Calculate the remainder when 9567 is divided by 92.
91
What is the remainder when 116 is divided by 59?
57
What is the remainder when 393 is divided by 43?
6
Calculate the remainder when 1911 is divided by 87.
84
What is the remainder when 164 is divided by 68?
28
Calculate the remainder when 128 is divided by 34.
26
What is the remainder when 1050 is divided by 4?
2
What is the remainder when 269 is divided by 54?
53
What is the remainder when 16339 is divided by 5?
4
Calculate the remainder when 218 is divided by 19.
9
What is the remainder when 24 is divided by 24?
0
What is the remainder when 101 is divided by 21?
17
Calculate the remainder when 216 is divided by 109.
107
What is the remainder when 15324 is divided by 117?
114
Calculate the remainder when 9392 is divided by 25.
17
Calculate the remainder when 153 is divided by 26.
23
What is the remainder when 148 is divided by 36?
4
Calculate the remainder when 381 is divided by 110.
51
Calculate the remainder when 112 is divided by 30.
22
What is the remainder when 11 is divided by 9?
2
Calculate the remainder when 229 is divided by 33.
31
What is the remainder when 140 is divided by 31?
16
What is the remainder when 140 is divided by 44?
8
Calculate the remainder when 18829 is divided by 11.
8
What is the remainder when 3072 is divided by 1023?
3
What is the remainder when 50 is divided by 26?
24
Calculate the remainder when 1088 is divided by 358.
14
Calculate the remainder when 1055 is divided by 16.
15
What is the remainder when 165 is divided by 86?
79
Calculate the remainder when 118 is divided by 19.
4
Calculate the remainder when 3159 is divided by 43.
20
Calculate the remainder when 182 is divided by 6.
2
Calculate the remainder when 245 is divided by 57.
17
Calculate the remainder when 72 is divided by 10.
2
What is the remainder when 4534 is divided by 566?
6
What is the remainder when 1277 is divided by 142?
141
What is the remainder when 516 is divided by 20?
16
Calculate the remainder when 1622 is divided by 125.
122
What is the remainder when 162 is divided by 33?
30
What is the remainder when 349 is divided by 8?
5
Calculate the remainder when 22 is divided by 22.
0
Calculate the remainder when 3710 is divided by 6.
2
Calculate the remainder when 277 is divided by 131.
15
What is the remainder when 69 is divided by 61?
8
Calculate the remainder when 32177 is divided by 93.
92
What is the remainder when 123 is divided by 88?
35
What is the remainder when 46 is divided by 16?
14
What is the remainder when 91 is divided by 49?
42
Calculate the remainder when 10513 is divided by 15.
13
What is the remainder when 1506 is divided by 26?
24
Calculate the remainder when 905 is divided by 186.
161
Calculate the remainder when 319 is divided by 107.
105
What is the remainder when 290 is divided by 59?
54
Calculate the remainder when 71 is divided by 18.
17
Calculate the remainder when 217 is divided by 9.
1
Calculate the remainder when 6395 is divided by 52.
51
Calculate the remainder when 643 is divided by 205.
28
What is the remainder when 1012 is divided by 337?
1
Calculate the remainder when 288 is divided by 133.
22
What is the remainder when 2077 is divided by 16?
13
What is the remainder when 1178 is divided by 108?
98
Calculate the remainder when 120 is divided by 8.
0
Calculate the remainder when 523 is divided by 23.
17
What is the remainder when 1519 is divided by 113?
50
Calculate the remainder when 8312 is divided by 163.
162
Calculate the remainder when 131 is divided by 5.
1
What is the remainder when 2018 is divided by 2017?
1
What is the remainder when 528 is divided by 125?
28
What is the remainder when 3102 is divided by 219?
36
What is the remainder when 1036 is divided by 6?
4
Calculate the remainder when 74 is divided by 15.
14
Calculate the remainder when 97 is divided by 14.
13
Calculate the remainder when 121 is divid
|
{
"pile_set_name": "DM Mathematics"
}
|
.
4
Rearrange 3*r**3 + 4*r**3 - 3*r**3 - r**3 + 2*r**3 - 2*r**3 + (-66 + 12*r**2 + 66)*(-2*r + 2*r - 2*r) to the form a*r + u*r**3 + h*r**2 + w and give u.
-21
Express ((2 + 2 - 3)*(1 - 2 + 0) + 0 + 3 + 0)*(3*y**2 - y**2 + 3*y**2) as m*y + u + b*y**2 and give b.
10
Express -14*i - 16*i - 14*i in the form c*i + k and give c.
-44
Rearrange -2 - j + 2 + (-19 - 3*j + 5*j - j)*(-1 + 1 - 4) to the form u + o*j and give u.
76
Rearrange (-11*x - 2*x + 12*x - 92)*(-3*x + 5*x - 3*x) to t*x + u*x**2 + d and give u.
1
Express a - 10 - a**4 + 9 + a**3 - 2*a**2 - 3*a**3 as c + l*a**2 + t*a + m*a**4 + u*a**3 and give u.
-2
Rearrange 4 - 3*m**2 + 5*m**2 + 1 - 4*m**2 to the form h*m + y*m**2 + f and give f.
5
Express 0*n + 2*n + 16*n**2 - 2*n as d*n + f*n**2 + m and give f.
16
Express (2*l - l + 0*l)*(2 - 3 + 0)*(-1 - l**3 + 1)*(-10 + 8 + 33) as x*l**3 + i*l + b*l**4 + o + z*l**2 and give b.
31
Express (0*m + 7*m - 2*m)*(-m - 3*m**2 + m) - m**2 + m**2 + 4*m**3 in the form a*m**2 + y*m**3 + c + b*m and give y.
-11
Rearrange (-4 - 2*g + 3 + 0*g)*(-9*g**3 + 93*g**3 + 89*g**3)*(3 + 1 - 3) to the form k*g + a*g**3 + u + b*g**2 + h*g**4 and give h.
-346
Express (4 + 1 - 7)*(3*r - 2*r + r) + r - r - 2*r - 2*r + 3*r + r - 2*r - r - 4*r in the form z + n*r and give n.
-11
Rearrange (-1 - 1 + 1)*(-14 + 5*g + 14)*(-5 + 5 + g) to b*g + c + i*g**2 and give i.
-5
Rearrange (-4 + 4 + 2*i)*(-18*i - 18*i - 5*i) to the form s*i**2 + k*i + o and give s.
-82
Express (j + 3*j - 3*j)*(2*j - 3*j + 2*j) + 4 - 1 - 5*j**2 + 3*j**2 in the form l*j + o + b*j**2 and give o.
3
Express (1 + 1 + 0)*(-1102 - 19*k**3 + 141*k**3 + 1102) as q + g*k**3 + l*k**2 + c*k and give g.
244
Rearrange 256 - 256 - 66*w to b*w + i and give i.
0
Rearrange (2*j + 3*j - 4*j)*(-5 + 3*j + 5 + (0 - 4 + 3)*(-j - 4*j + 4*j)) to m*j**2 + n + r*j and give m.
4
Express 28*v - 30*v - 2*v**3 - 4*v**2 + 4 - 3 + v**4 as s*v**3 + u*v**2 + x*v + g + i*v**4 and give i.
1
Express 2 + s**3 + 77*s - 76*s - s**2 - 5*s**3 as b*s**2 + a + i*s + m*s**3 and give i.
1
Express 19*o - 4 - 5 - o**2 - 21*o as w*o + d*o**2 + f and give f.
-9
Express (-2*j**3 + 4*j**3 + 0*j**3)*(-4 + 4 - j) - 65*j**4 - 14*j**4 + 8*j**4 in the form w*j**2 + g*j**3 + t*j + p + v*j**4 and give v.
-73
Express -d**2 - 5*d - 2614 + 2614 in the form j*d + h + x*d**2 and give j.
-5
Express -7*l - 7*l - 18*l + 8*l in the form a + n*l and give a.
0
Express -43*k**4 + 50*k**4 + 3*k - 1 - 2*k in the form j*k + r*k**4 + c*k**2 + p + x*k**3 and give j.
1
Express 5*y**3 - 33*y**2 - 14*y**3 + 10*y**3 as g + h*y**3 + d*y**2 + a*y and give g.
0
Rearrange (-10*k**2 + 31*k**2 + 44*k**2)*(3*k + k - 3*k)*(-2*k + 4*k - 3*k) to the form s*k**3 + m*k**4 + x*k + a + z*k**2 and give s.
0
Rearrange -29*f**2 - 27*f**2 - f**4 + 56*f**2 - f - 18 + f**3 to the form a*f**2 + u + o*f**4 + d*f + j*f**3 and give d.
-1
Rearrange (2*n**2 - n + n)*(3 - 3 + 3*n) - n**3 + 2*n**3 - 2*n**3 to the form t*n + h*n**3 + m*n**2 + k and give h.
5
Rearrange -2*p - p + p**4 + 2*p**2 - 1 + 2*p - 3 to h*p + v*p**4 + c*p**2 + s*p**3 + d and give v.
1
Rearrange j**2 + 2*j - 3*j**3 + 2*j**4 + 0*j**2 + 2*j**3 + 0*j**3 to l*j**2 + c + g*j**3 + x*j**4 + u*j and give l.
1
Rearrange -10*t**2 - 8*t + 18*t - 3*t**3 - 7*t to the form q + j*t + d*t**2 + o*t**3 and give o.
-3
Express -54 - 1797*l**4 - 26 + 1795*l**4 + (-2*l**2 + 2 - 2)*(-4*l**2 - 3*l**2 + 5*l**2) in the form y*l**4 + q*l + v*l**2 + h*l**3 + w and give w.
-80
Rearrange (-8*o - 10*o - 5*o)*(2 - 5 + 1)*(-3 - 1 + 3) to r*o + w and give r.
-46
Rearrange (4 - 3 + 0)*(3 - 8 - 1)*(3*c**3 - 3*c**3 + c**3)*(-3*c + 5*c - 4*c) to s*c**4 + y*c**2 + t*c + o + r*c**3 and give s.
12
Express 4*j**2 + 3*j - 4*j + 5*j**2 as b*j**2 + y*j + o and give y.
-1
Express (-t + 0*t + 2*t)*(-15 - 16 + 11)*(1 - 6 + 3) as l*t + c and give l.
40
Express (3 - 9 + 3)*(-3 - 3*m + m + 3*m) as s*m + a and give s.
-3
Express 31 - 11*o - 18*o + 30*o + 38 as p*o + b and give b.
69
Rearrange -2*v + 17*v**2 + 2*v**3 + 25*v**2 + v to the form j*v**3 + k*v + b*v**2 + z and give z.
0
Rearrange -10*w + 6*w + 19*w to l + c*w and give c.
15
Express (0*n**2 + 4*n**2 - 5*n**2)*(0*n + n**2 + 0*n) + 2*n**4 - n**2 + 87*n - 87*n as g*n**2 + a*n**3 + s*n**4 + m + x*n and give s.
1
Express 62 + 14*w**3 + 2*w**3 - 60 as s + v*w**3 + j*w**2 + a*w and give s.
2
Express -u**2 + 0 + 0 + 5*u**2 as n*u + p*u**2 + h and give p.
4
Rearrange -3 - 1 - 9*a - 1 + 8 to w*a + i and give w.
-9
Express (3 - 3 - 2)*(-3*r + 6*r + 3*r) as n + y*r and give y.
-12
Rearrange 4*l**2 - 7*l**2 - l - l + 6*l to the form k*l + p + j*l**2 and give k.
4
Express 4*k**3 - 3 + 30*k - 51*k + 22*k - 3*k**3 + k**2 as m + b*k + r*k**2 + x*k**3 and give m.
-3
Express -16*f + 6*f + 6*f + 16*f + (-3 + 4 + 1)*(f - 1 + 1) as g + k*f and give k.
14
Rearrange 2*q**3 - 2 - 9*q**3 + q**4 + 6*q**3 to the form o*q + s*q**2 + d*q**4 + m*q**3 + f and give o.
0
Express (4*m + 0*m - 3*m)*(4*m**3 - 2*m**2 + 2*m**2) - 4*m**4 + 0*m**4 + m**4 in the form h*m + x*m**3 + j*m**2 + i + b*m**4 and give b.
1
Express (-6*n + 3*n + n)*(-4*n + n + 2*n) as z + x*n**2 + s*n and give x.
2
Express (-99 - 110 + 189)*(1 + 0 - 2*c + 0*c) as s*c + f and give s.
40
Rearrange 101*h**2 + 97*h**2 - 50*h**2 - 18*h**2 to q*h**2 + a + j*h and give q.
130
Rearrange (-1 + 3 - 3)*(2*c**2 - 2 + 2) - 35 + 35 - 9*c**2 to the form a*c**2 + n + i*c and give a.
-11
Rearrange -2*f**2 - 6*f - f + 0*f to the form l*f + v*f**2 + p and give p.
0
Rearrange 2*o**2 + 0 - 4*o**2 + 8*o**2 + 3 to the form h*o + b*o**2 + x and give b.
6
Express (-14 + 0 + 3)*(2*t - 6*t + 6*t) as p*t + k and give p.
-22
Rearrange -1 - 1 - 2*i**4 - i - 6*i**3 + 8*i**3 to m*i**4 + u*i + f*i**2 + g + q*i**3 and give q.
2
Rearrange -d - 5*d - 2*d + (2 - 2 - 1)*(-4*d + 2*d + d) to k + f*d and give f.
-7
Express -8*f + 2*f - 1 + 2*f**2 + f**3 + 5*f in the form x*f**3 + m*f**2 + r*f + z and give x.
1
Rearrange (b - 6*b - 4*b)*(b**2 + 0*b**2 - 2*b**2) to o*b + d*b**3 + k + c*b**2 and give d.
9
Rearrange 6*x**2 - x + x + 2 to z + y*x**2 + k*x and give y.
6
Express 4*z**2 - 4*z**2 - 16*z - z**3 + 8*z as i + j*z**3 + h*z + f*z**2 and give j.
-1
Rearrange -26*z**3 - 3*z**4 + 2*z**2 + 27*z**3 + z**2 to l*z**2 + v*z + f*z**3 + d + c*z**4 and give c.
-3
Rearrange 0*a**3 + 71*a**2 + 5*a**3 - 3*a - 71*a**2 to the form t + l*a + q*a**2 + c*a**3 and give c.
5
Rearrange ((-1 - 3 + 3)*(4 - 2 - 3) - 2 + 4 + 1)*(0*x + 0*x - 3*x) + (0*x - 4*x + x)*(5 + 1 - 2) to u*x + h and give u.
-24
Rearrange (2*d**2 + 3*d - 4*d**2 + 0*d**2)*(-6*d**2 + 3*d**2 + 0*d**2) to the form c*d**4 + q + t*d + j*d**2 + k*d**3 and give c.
6
Express 3*j**4 - 5*j**4 + 6*j + 5*j**4 - 2 as r*j + o + z*j**2 + v*j**3 + g*j**4 and give o.
-2
Rearrange (-5*w + w + 2*w)*(w**2 + w**2 + 5 - w**2) to the form s + i*w**3 + c*w + v*w**2 and give i.
-2
Rearrange (29 - 38*b**2 + 33 - 63)*((-4*b + 4*b + 2*b)*(2*b - 2*b - 2*b) + 2*b**2 - 3*b**2 + 0*b**2) to the form n*b + u*b**2 + o*b**3 + j*b**4 + p and give j.
190
Express -132 + 49*c + 132 as a*c + w and give a.
49
Rearrange -2*c**2 + c**4 + c**4 - 4*c**4 + 3*c + 0 - 1 - 2*c**3 to b*c**3 + t*c**2 + o*c**4 + q + y*c and give y.
3
Express 9*a**2 + 9*a**3 + 13*a**3 - 23*a**3 in the form j + q*a**2 + w*a + l*a**3 and give l.
-1
Express -13578 + 84*a + 13578 + (4 - 3 - 2)*(a - 5*a + 2*a) as z*a + d and give z.
86
Rearrange 564 - 21*t + 5*t - 564 to v + s*t and give s.
-16
Express -21*z**3 + z**2 - 19*z + 19*z + 31 - 35 in the form o*z**3 + i*z**2 + w + k*z and give w.
-4
Express 11*j**2 + 24*j**2 - 9*j**2 + 7*j**2 as c*j**2 + l + s*j and give c.
33
Rearrange 3 + d**4 - 8*d**2 - 56*d**3 + 57*d**3 + 0*d**4 to the form b*d + z + r*d**2 + u*d**3 + y*d**4 and give r.
-8
Rearrange (n - 2 + 2)*(-2 - 2*n + 3*n + 0*n) to w + k*n + m*n**2 and give m.
1
Express -1 - 6*u**3 + 3*u**3 - u - 8*u**3 in the form g*u**3 + w + p*u**2 + r*u and give w.
-1
Express 3*b + 8*b**4 + 0*b**3 + 0*b - b**3 as s*b + q*b**4 + o*b**2 + f + p*b**3 and give p.
-1
Express (-3 + 2 - 1)*(2*m - 2*m - 2*m) - 2*m + 3 - 3 as o*m + v and give o.
2
Rearrange (-25 + 25 + 2*v)*(2*v - 4*v + 3*v - 3*v + 3*v + v - v - 5*v + 4*v + (3*v - 3*v + v)*(-3 - 2 + 3)) to the form j*v + g*v**2 + a and give g.
-4
Rearrange -5*j**2 + 2*j + 11*j**2 - 10*j**2 to s*j**2 + w*j + a and give s.
-4
Express
|
{
"pile_set_name": "DM Mathematics"
}
|
tive of 0 - 27/2*f**2 + 15*f - 1/30*f**p + 1/2*f**5 + 9*f**3 - 3*f**4. Factor v(g).
-(g - 3)**3*(g - 1)
Let z(s) = -2*s**3 - 764*s**2 - 72182*s + 147452. Let v(c) = 12*c**3 + 4584*c**2 + 433087*c - 884710. Let f(p) = 2*v(p) + 13*z(p). Factor f(k).
-2*(k - 2)*(k + 192)**2
Let q(t) = -t**3 - 3*t**2 + 2408*t + 7230. Let z be q(-3). Suppose 43/7*h - 1/7*h**2 - z = 0. What is h?
1, 42
Let f = -45 - -44. Let d be ((-12)/20)/(f + (-18)/(-20)). Factor 3*m**2 - d*m - 314 + 314.
3*m*(m - 2)
Let d = 1052426/7 + -149680. Let m = d + -666. Factor m*j - 1/7*j**3 + 1/7*j**2 - 4/7.
-(j - 2)*(j - 1)*(j + 2)/7
Let a(d) = -2*d**3 + 13*d**2 + 9*d + 16. Let q be a(7). Factor -75*y - 28244 - 3*y**3 + 28244 - q*y**2.
-3*y*(y + 5)**2
Suppose -20 = -2*q - 3*z, 46*z = q + 45*z. Let s(k) be the second derivative of 10*k**2 + 0 - 8/3*k**3 - 33*k - 1/3*k**q. What is o in s(o) = 0?
-5, 1
Let a(b) be the third derivative of -b**7/945 + 8*b**6/135 + 8*b**5/15 + 1479*b**2. Factor a(z).
-2*z**2*(z - 36)*(z + 4)/9
Suppose -5*b = 2*j - 360, -22*j + 25*j + 72 = b. Factor -b*r + 0*r**2 - 50 + 4*r**2 - 46 + 20.
4*(r - 19)*(r + 1)
Let j(n) = 3*n**4 - 71*n**3 + 57*n**2 + 22*n + 11. Let x(q) = q**4 - 24*q**3 + 19*q**2 + 8*q + 4. Let i(b) = 4*j(b) - 11*x(b). Factor i(h).
h**2*(h - 19)*(h - 1)
Let q(f) be the third derivative of f**6/144 - 41*f**5/180 + 17*f**4/9 - 8*f**3/3 + 1598*f**2. Factor q(r).
(r - 12)*(r - 4)*(5*r - 2)/6
Let z(r) = -11*r**2 + 10*r + 9. Let q = 123 + -122. Let d(f) = f**2 + 1. Let g(t) = q*z(t) + 6*d(t). Solve g(s) = 0 for s.
-1, 3
Let f(c) = 3068*c - 12269. Let y be f(4). Factor -3/4*o**2 - 3 + y*o.
-3*(o - 2)**2/4
Factor -244/5*o - 4/5*o**2 - 48.
-4*(o + 1)*(o + 60)/5
Let r(n) be the third derivative of 0 - 1/36*n**4 + 2*n + 0*n**3 - 1/630*n**5 + 32*n**2. Find v such that r(v) = 0.
-7, 0
Let t(n) be the third derivative of 0*n - 1/4*n**4 + 3/80*n**6 + 1/140*n**7 + 0*n**5 + 3 + 0*n**3 - 5*n**2. Factor t(s).
3*s*(s - 1)*(s + 2)**2/2
Suppose -o - 2417*f + 96 = -2423*f, -64 = -4*o + 4*f. Solve o + 2/13*g**3 - 10/13*g**2 + 12/13*g = 0 for g.
0, 2, 3
Let f = -11 - -10. Let m = 10 - -8. Let i(l) = l**3 - l + 1. Let t(q) = 21*q**3 - 6*q**2 - 15*q + 18. Let g(w) = f*t(w) + m*i(w). Factor g(r).
-3*r*(r - 1)**2
Let u(o) = 0*o**2 - 3*o**2 - 27 + 13 + 16*o**2 - 3*o**2 + 78*o. Let q be u(-8). Solve 0*g**3 - 3/2*g + 0 + 3/4*g**4 - 9/4*g**q = 0.
-1, 0, 2
Let p(y) = -250*y + 118. Let g be p(4). Let v = -877 - g. Let 0 + v*c**3 + 25*c**2 + 125/3*c + 1/3*c**4 = 0. Calculate c.
-5, 0
Let -20839*f - 44*f**3 + 56 - 4*f**4 + 90*f**2 + 20675*f + 66*f**2 = 0. What is f?
-14, 1
Let b be 5/(-2)*(-12396)/46485. Determine u so that 2/3*u**5 - 4/3*u + 0 + b*u**3 - 2*u**2 + 2*u**4 = 0.
-2, -1, 0, 1
Factor 196*l**2 - 103*l**4 + 828*l**3 + 461*l - 396 - 47*l**4 - 1810*l**2 + 3*l**5 + 433*l + 435*l.
3*(l - 44)*(l - 3)*(l - 1)**3
Let x(d) be the second derivative of -d**8/6720 - d**7/315 + d**6/80 - 11*d**4/12 + 3*d - 1. Let o(m) be the third derivative of x(m). Factor o(i).
-i*(i - 1)*(i + 9)
Let s(n) be the second derivative of -n**5/20 + 5*n**4/2 - 88*n**3/3 + 2055*n. Find y such that s(y) = 0.
0, 8, 22
Let b(g) be the third derivative of -g**8/112 + 69*g**7/35 - 1083*g**6/10 - 7346*g**5/5 - 7632*g**4 - 20736*g**3 - 1238*g**2. Factor b(i).
-3*(i - 72)**2*(i + 2)**3
Let y(d) = 3*d**2 + 103*d + 84. Let j(k) = -28 - 4407*k**2 - 54*k + 4406*k**2 + 19*k. Let m(u) = -8*j(u) - 3*y(u). Determine w, given that m(w) = 0.
-28, -1
Let v be 189/(-15) - 91/65. Let k be 157/44 - (v - 912/(-66)). Factor 3/4*l**4 + 3/2 - k*l**3 + 27/4*l**2 - 21/4*l.
3*(l - 2)*(l - 1)**3/4
Let b = 219547/65865 - -1/21955. Determine h, given that -5/3*h**2 + b + 5/3*h = 0.
-1, 2
Let j(d) be the third derivative of 7*d**6/2160 + d**5/30 + d**4/16 - 49*d**3/2 + 158*d**2. Let w(p) be the first derivative of j(p). Factor w(y).
(y + 3)*(7*y + 3)/6
Factor 12/7*c**2 - 4/7*c**4 + 0*c + 0 - 8/7*c**3.
-4*c**2*(c - 1)*(c + 3)/7
Determine z, given that -81 - 1/4*z**2 + 15*z = 0.
6, 54
Let j(g) = -2*g**2 - 38*g + 8. Suppose -4*t + 0*o = 3*o - 35, 5*t - 36 = 4*o. Let w(h) = -h**2 - 26*h + 5. Let z(u) = t*w(u) - 5*j(u). Factor z(s).
2*s*(s - 9)
Let q(m) be the third derivative of 2/255*m**5 + 0*m**3 - 1/68*m**4 + 0*m - 1/1020*m**6 + 2 - 4*m**2. Factor q(z).
-2*z*(z - 3)*(z - 1)/17
Suppose -17*b + 19*b = 6. What is m in -6 - 5 - 4*m**2 + 5*m**2 - 2*m + b = 0?
-2, 4
Let h(m) be the second derivative of 5*m**4/12 + 407*m**3/6 - 123*m**2 - 37*m - 9. Let h(y) = 0. What is y?
-82, 3/5
Let f = -417 - -486. Suppose -9*k - 69*k**5 - f*k**5 + 51*k**3 + 110*k**2 - 467*k**5 + 549*k**3 - 110*k**4 + 14*k = 0. What is k?
-1, -1/11, 0, 1
Let a(j) = 17 + 8*j**2 - 2 - 2*j**3 - 3*j**3 - 20*j**2 - 3 + 2*j. Let l(r) = r**2 - r - 1. Let i(c) = -a(c) + 3*l(c). Find d, given that i(d) = 0.
-3, -1, 1
Let -11174 + 5260*c + 445*c**3 - 11084 - 3550*c**2 + 22378 = 0. Calculate c.
-2/89, 2, 6
Let i(z) be the third derivative of z**7/210 + 193*z**6/30 + 73331*z**5/30 - 75077*z**4/2 + 453963*z**3/2 - 6274*z**2. Factor i(n).
(n - 3)**2*(n + 389)**2
Let f = 1352/5065 - -540/1013. Determine y, given that 32/5*y + 24*y**2 - f - 896/5*y**3 - 196*y**4 = 0.
-1, -1/5, 1/7
Factor 650/9*x**2 + 1306/9*x - 2/9*x**3 + 218/3.
-2*(x - 327)*(x + 1)**2/9
Suppose 0 = -16*d + 21*d - 250. Let a = d + -45. Find n, given that -8*n**4 - 4*n**2 + 30*n**3 + 3*n**4 - 16 + 25*n**4 - 32*n + 4*n**a - 2*n**3 = 0.
-2, -1, 1
Let u(t) be the first derivative of 100/3*t**3 + 71 + 6*t**4 + 16*t + 56*t**2. Suppose u(b) = 0. What is b?
-2, -1/6
Let j(p) be the first derivative of -p**6/200 + 2*p**5/25 + 19*p**4/40 + p**3 - 107*p**2 - 57. Let y(b) be the second derivative of j(b). Factor y(w).
-3*(w - 10)*(w + 1)**2/5
Suppose r + r - 8 = -3*y, -4*y - 4*r + 12 = 0. Let p be (2 + -1)/(68/32 - y). Factor 6*i - 2*i**2 + 0*i**2 + 7 - 7 + p.
-2*(i - 4)*(i + 1)
Let p(u) be the second derivative of u**4/4 + 981*u**3 + 2887083*u**2/2 - 116*u. Factor p(r).
3*(r + 981)**2
Let h be 1768 + (8/(-24))/((-2)/30). Let t = -1771 + h. Factor -1/8*z + 0 + 1/8*z**t.
z*(z - 1)/8
Suppose 2*q + 335 - 359 = -u, -2*q + 24 = 0. Factor -1/3*r**4 + 8/3*r**2 + u + 0*r - 2/3*r**3.
-r**2*(r - 2)*(r + 4)/3
Let j be (-6)/39 + 15867/5031. Let 1/8*r**j + 0*r - 1/4*r**2 + 0 = 0. What is r?
0, 2
Suppose -g = 2*p, 4*g - 3 - 19 = 3*p. Let i be (80/24)/((-5)/p). Let -20/3*o + 25/3*o**2 + i = 0. Calculate o.
2/5
Let k(n) = -5*n**2. Let a(q) = 104*q**2 - 9776*q + 5973136. Let l(b) = a(b) + 20*k(b). What is t in l(t) = 0?
1222
Let n be 1/2*285*15904/139160. Factor 2/7*s**3 - 4*s**2 + n*s - 144/7.
2*(s - 8)*(s - 3)**2/7
Let z = 460 + -439. Determine x, given that -5*x + 3 + 768*x**2 - 385*x**2 + z - 384*x**2 = 0.
-8, 3
Let l(g) be the second derivative of 5*g**7/84 + g**6/4 - 5*g**4/6 - 113*g + 2. Factor l(u).
5*u**2*(u - 1)*(u + 2)**2/2
Let g(p) be the first derivative of -p**7/2100 + 7*p**6/180 - 24*p**5/25 - 27*p**4/5 - 13*p**3/3 + 50. Let d(y) be the third derivative of g(y). Factor d(z).
-2*(z - 18)**2*(z + 1)/5
Let i(n) be the first derivative of -n**6/360 + n**5/36 + n**4/12 - 27*n**2 - 20. Let v(c) be the second derivative of i(c). Factor v(o).
-o*(o - 6)*(o + 1)/3
Find s, given that -24*s + 2560/9 - 4/9*s**2 = 0.
-64, 10
Let n(j) = -10*j**3 + 29*j**2 + j - 98. Let y(m) = -37*m**3 + 115*m**2 + 5*m - 394. Let l(v) = 22*n(v) - 6*y(v). Factor l(f).
2*(f - 26)*(f - 2)*(f + 2)
Let c be 8/(-6)*3/5*5/(-240). Let q(r) be the second derivative of 121/10*r**2 + 11/15*r**3 + 0 + c*r**4 - 20*r. Let q(p) = 0. What is p?
-11
Let i(f) = f**2 + 2827*f + 498475. Let b(p) = 3*p**2 + 5653*p + 996937. Let w(h) = 3*b(h) - 5*i(h). Determine m so that w(m) = 0.
-353
Let p(x) be the second derivative of 204*x - 2/15*x**3 + 2/15*x**4 + 1/150*x**6 + 0 - 1/20*x**5 + 0*x**2. Factor p(s).
s*(s - 2)**2*(s - 1)/5
Factor -6*v**3 - 16/7*v**4 - 1/7*v**5 - 13/7*v + 0 - 40/7*v**2.
-v*(v + 1)**3*(v + 13)/7
Factor -284/7*i + 285/7 - 1/7*i**2.
-(i - 1)*(i + 285)/7
Let -385/2*m + 95 + 5*m**2 = 0. What is m?
1/2, 38
Suppose -27 + 7 = -10*f. Find v, given that 424*v - 434*v - 3*v**2 + 5*v**f + 12 = 0.
2, 3
Let j(q) = -31*q**2 + 234*q - 1429. Let s(u) = 11*u**2 - 78*u + 476. Let i(m) = -4*j(m) - 11*s(m). Factor i(a).
3*(a - 16)*(a - 10)
Let f be -1*(-4 - -2*3)/(-1). Solve -20 - 7*y - 2
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{
"pile_set_name": "DM Mathematics"
}
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7, c: 2, n: 1, j: 5}?
1/4080
Calculate prob of sequence xjjx when four letters picked without replacement from jxxljjjjlxx.
1/33
Four letters picked without replacement from ysyyysyssssyyssysys. What is prob of sequence sysy?
45/646
Four letters picked without replacement from xxxx. Give prob of sequence xxxx.
1
What is prob of sequence wfwf when four letters picked without replacement from fwffwfwwffwfffffffff?
35/969
What is prob of sequence uv when two letters picked without replacement from oovbbooouoov?
1/66
Calculate prob of sequence mm when two letters picked without replacement from {m: 2, n: 1}.
1/3
What is prob of sequence ppph when four letters picked without replacement from ppphppppppppppp?
1/15
Two letters picked without replacement from {g: 1, w: 2, z: 1, s: 2, m: 2, d: 1}. Give prob of sequence gz.
1/72
Two letters picked without replacement from {x: 6, s: 1, k: 4, v: 2, p: 7}. What is prob of sequence ps?
7/380
Two letters picked without replacement from {t: 2, c: 9, p: 8}. What is prob of sequence pc?
4/19
Three letters picked without replacement from {o: 2, w: 2, t: 1, n: 1, z: 1}. What is prob of sequence oto?
1/105
Three letters picked without replacement from tyit. What is prob of sequence tty?
1/12
Two letters picked without replacement from hhhemes. What is prob of sequence hs?
1/14
Three letters picked without replacement from wwrwl. Give prob of sequence rww.
1/10
Three letters picked without replacement from {s: 3, d: 2, b: 8, h: 4}. Give prob of sequence dhb.
4/255
Calculate prob of sequence vvsv when four letters picked without replacement from {s: 3, v: 3}.
1/20
Calculate prob of sequence rrr when three letters picked without replacement from rerhhrrrrrerrerrrr.
143/408
Four letters picked without replacement from zzzzzzzzz. Give prob of sequence zzzz.
1
What is prob of sequence azz when three letters picked without replacement from fffzzaffaffff?
1/429
Three letters picked without replacement from cczccccczzmczm. Give prob of sequence zzm.
1/91
Four letters picked without replacement from {o: 3, y: 1}. Give prob of sequence yooo.
1/4
Calculate prob of sequence tf when two letters picked without replacement from ffftfffffftf.
5/33
Three letters picked without replacement from nnsnfnnyxnssxnss. What is prob of sequence sys?
1/168
Three letters picked without replacement from bdgdg. What is prob of sequence bdb?
0
Three letters picked without replacement from {a: 9, h: 2, z: 1, c: 2, w: 2, r: 4}. Give prob of sequence aaa.
7/95
Three letters picked without replacement from sssssssessss. What is prob of sequence ess?
1/12
Calculate prob of sequence yaw when three letters picked without replacement from awwyywawywwyyw.
5/156
Two letters picked without replacement from {z: 9, w: 11}. Give prob of sequence zw.
99/380
Four letters picked without replacement from {b: 1, q: 5, t: 1, a: 2, o: 1}. Give prob of sequence baqo.
1/504
What is prob of sequence onu when three letters picked without replacement from {u: 1, o: 2, z: 4, n: 2, a: 5}?
1/546
Three letters picked without replacement from {u: 2, l: 10, z: 2}. What is prob of sequence zuz?
1/546
What is prob of sequence pn when two letters picked without replacement from nhpdn?
1/10
Calculate prob of sequence ldxd when four letters picked without replacement from {x: 9, d: 2, l: 2}.
3/1430
Two letters picked without replacement from {q: 1, j: 4, t: 2, r: 1}. Give prob of sequence qr.
1/56
Calculate prob of sequence eqq when three letters picked without replacement from jtrqerjtrrqzqzre.
1/280
What is prob of sequence gvtv when four letters picked without replacement from zvlvggzht?
1/756
Three letters picked without replacement from {l: 4, t: 1, x: 3, c: 1, w: 4, d: 7}. Give prob of sequence cdt.
7/6840
Two letters picked without replacement from {r: 8, g: 4, v: 4}. Give prob of sequence gg.
1/20
Two letters picked without replacement from cmmcmc. Give prob of sequence cc.
1/5
Four letters picked without replacement from {w: 2, t: 4}. Give prob of sequence ttwt.
2/15
Four letters picked without replacement from rfffbbbfbb. What is prob of sequence ffbr?
1/84
Calculate prob of sequence nnk when three letters picked without replacement from {j: 4, n: 3, p: 2, x: 3, q: 2, k: 1}.
1/455
Calculate prob of sequence ycv when three letters picked without replacement from teecayv.
1/210
Three letters picked without replacement from eeewwzewwewwweez. Give prob of sequence zze.
1/240
Calculate prob of sequence ocjo when four letters picked without replacement from jojjojjjcjcc.
7/1980
Three letters picked without replacement from {w: 3, s: 8, g: 6, l: 2}. Give prob of sequence wll.
1/969
Calculate prob of sequence kmkv when four letters picked without replacement from {o: 1, a: 2, k: 3, v: 3, z: 1, m: 1}.
1/440
What is prob of sequence ik when two letters picked without replacement from keemmeekeetketiete?
1/102
Two letters picked without replacement from {f: 7}. What is prob of sequence ff?
1
Three letters picked without replacement from {c: 3, n: 2}. Give prob of sequence ncn.
1/10
Three letters picked without replacement from qaqvcrcvvaqvcvqvv. Give prob of sequence ccv.
7/680
Two letters picked without replacement from xuzxpu. What is prob of sequence xp?
1/15
Calculate prob of sequence gtg when three letters picked without replacement from {t: 1, y: 9, g: 4}.
1/182
What is prob of sequence pgkr when four letters picked without replacement from kqpgqgkzqpkgrpkggk?
5/4896
Three letters picked without replacement from {l: 1, m: 6, w: 4}. Give prob of sequence wwm.
4/55
Four letters picked without replacement from pdppdpj. What is prob of sequence jpdd?
1/105
What is prob of sequence do when two letters picked without replacement from gdortdoj?
1/14
Calculate prob of sequence ommm when four letters picked without replacement from {m: 3, o: 7, n: 8}.
7/12240
Two letters picked without replacement from {g: 5, l: 3, s: 2}. What is prob of sequence gl?
1/6
Calculate prob of sequence ont when three letters picked without replacement from tdtozttztzonznztzz.
1/204
What is prob of sequence mxd when three letters picked without replacement from xzdexmmmxebbbbmbzxxe?
1/342
Calculate prob of sequence aeg when three letters picked without replacement from {t: 4, e: 4, g: 2, a: 1}.
4/495
Three letters picked without replacement from mssnmmnmmnnxxnxmsnn. Give prob of sequence xmn.
7/323
Four letters picked without replacement from bpzqopoc. What is prob of sequence opzq?
1/420
What is prob of sequence ddki when four letters picked without replacement from {e: 1, i: 1, d: 3, s: 1, m: 2, k: 3}?
1/440
Calculate prob of sequence gx when two letters picked without replacement from lxzcg.
1/20
What is prob of sequence jqjq when four letters picked without replacement from jjjjjjjjqjqjjjjjjjj?
1/171
Calculate prob of sequence tg when two letters picked without replacement from ltlgt.
1/10
Four letters picked without replacement from {z: 2, i: 3, m: 1, w: 6, l: 2, d: 1}. What is prob of sequence diwz?
1/910
Calculate prob of sequence yv when two letters picked without replacement from vvaoooaooyoyooyo.
1/40
Three letters picked without replacement from {f: 2, d: 4, y: 2, j: 2}. What is prob of sequence yyj?
1/180
Four letters picked without replacement from jjjjjggjggjgj. What is prob of sequence jjjj?
14/143
Two letters picked without replacement from {m: 1, u: 1, c: 1, x: 2}. Give prob of sequence um.
1/20
Calculate prob of sequence waw when three letters picked without replacement from caaaajjwjwap.
1/132
Calculate prob of sequence mpom when four letters picked without replacement from poppopmommmmmommmmo.
25/1292
What is prob of sequence mm when two letters picked without replacement from mmmmmmmmmmdd?
15/22
Four letters picked without replacement from iiuieeeiiiiuieii. What is prob of sequence iieu?
3/182
What is prob of sequence es when two letters picked without replacement from {s: 4, e: 7, y: 4}?
2/15
Three letters picked without replacement from fyydyddygmyddgyy. Give prob of sequence mgg.
1/1680
Two letters picked without replacement from {g: 4, z: 14}. Give prob of sequence zg.
28/153
What is prob of sequence yrry when four letters picked without replacement from hryhry?
1/90
Two letters
|
{
"pile_set_name": "DM Mathematics"
}
|
d give i.
0
Express -3*v - 5*v - 11*v + 5*v as k + f*v and give f.
-14
Express (-2*g**2 + 2*g**2 - 4*g**2)*((5 - 5 - 1)*(g + 2*g - 2*g) - 4*g - 2*g + 4*g + 3 - g - 3) as z + l*g**3 + n*g**2 + w*g and give l.
16
Express 31*j**2 + 0 - 183*j**2 + 91*j**2 - 1 as h*j + p*j**2 + a and give a.
-1
Express -1 - q**2 + 1 - 2*q**4 + q + 7*q**4 + 2*q**3 as u*q**2 + z + d*q**3 + g*q + v*q**4 and give d.
2
Rearrange -23*s**2 - 86*s + 86*s to the form z*s + n + a*s**2 and give a.
-23
Express -2*h - 129 - 4*h + 129 in the form p + u*h and give u.
-6
Rearrange (-1 - 1 + 0)*(-14 + 7 - 18)*(-2*y - 2*y**2 + 2*y) to the form g + j*y**2 + k*y and give j.
-100
Express (2*f - 4 + 4)*(0 + 4 - 3 + (1 + 2 - 5)*(2 + 3 - 3))*(-41 - 34 + 71) in the form k*f + h and give k.
24
Rearrange (99 - 9*z - 99 + z**3)*(-2*z + 3*z + 2*z)*(-5 + 0 + 3) to h*z + p*z**2 + c + k*z**4 + a*z**3 and give p.
54
Express 10 - 41*z + 4*z - 10 in the form l*z + p and give l.
-37
Express (-g + 2*g - 3*g)*(-1 - 1 - 5)*(-g - g + 3*g) + 1 - 1 - g**2 + (0*g - 2*g + g)*(g + 1 - 1) as m*g**2 + l*g + h and give m.
12
Rearrange 35*v - 4*v + 0*v to the form u*v + t and give u.
31
Rearrange (-n - 2*n**2 + n)*(631 - 14*n - 631) + (-2*n + 5*n - 4*n)*(-5*n**2 + 2*n**2 - n**2) to the form u*n**2 + l*n**3 + q + f*n and give l.
32
Rearrange 4*g**3 + 8*g - 12*g + 0*g**3 to the form m*g + w + r*g**3 + c*g**2 and give r.
4
Rearrange j + 0*j - 3*j + (1 + 0 + 1)*(0*j + j - 3*j) + (-1 + 2 + 0)*(70 - 70 + 8*j) + 6*j + 5*j - 4*j to the form f*j + l and give f.
9
Express -58*f - 9 - 9 + 63*f + 4 in the form u*f + y and give u.
5
Rearrange (-l**2 + 2*l - 2*l)*(1 - 1 + 1)*(4*l + 2*l - 7*l - 1) to the form a + b*l + x*l**2 + k*l**3 and give x.
1
Rearrange 3*v**2 + 18*v**2 + 10*v**2 - 4*v**2 to r*v + m*v**2 + o and give o.
0
Rearrange (2 - x + 1 - 2)*(1 + 4 - 9) to the form o + y*x and give y.
4
Rearrange 5*j**3 - 9*j**3 - 2 + 3*j**3 to b + q*j + o*j**3 + t*j**2 and give o.
-1
Express -27*n**3 - n - 1 + n**4 + 14*n**3 + 5*n**3 + 10*n**3 in the form g*n**4 + o*n**3 + a*n + c + b*n**2 and give o.
2
Rearrange (-2 + 3 + 0)*(z - z + z)*(112 + 10*z - 112) to the form n*z**2 + w*z + d and give n.
10
Express (-8 + 3*t + 8)*(-5 + 5 - 2)*(-1 - 4 + 3) - 4 - 2*t + 4 as s*t + h and give s.
10
Express (-6*p + 9*p + p)*(p - 6*p + 3*p + (4*p - 4*p - 2*p)*(-3 + 2 + 2)) as n*p + r + x*p**2 and give x.
-16
Rearrange (0*i - 2*i + 3*i)*(-2 + 1 - 2)*(-2*i - 6*i + 7*i - 7) to the form w + l*i**2 + x*i and give l.
3
Rearrange (-1 - 3*v + 1)*(1 + 0 + 2)*(-2 + 0 + 3) to c*v + w and give c.
-9
Express (-f - 57 + 57)*(5 + f - 5) + (5*f - 3*f + 0*f)*(-f - 3*f + 3*f) in the form q*f + i*f**2 + m and give i.
-3
Express -7*l - 21*l + 13*l as q + m*l and give m.
-15
Express 1 - 2 - 2*c + c**3 + 3 - 3*c**4 in the form i*c + q*c**3 + x + z*c**2 + u*c**4 and give q.
1
Rearrange (2*c - 1 + 1)*(305*c - 6*c**2 - 305*c)*(0 + 1 + 0) to q + b*c + h*c**3 + r*c**2 and give b.
0
Rearrange 90 + 4*z**2 + 0*z**2 - 93 to y + a*z + f*z**2 and give y.
-3
Rearrange -115 + 8*s - 2*s + 111 to the form h*s + x and give h.
6
Rearrange -3*u**3 + 3*u - 2 + 0*u**3 + 4*u - 5*u to a*u**2 + s*u**3 + v*u + j and give s.
-3
Rearrange 4*h - 8*h + h + 6*h**2 + 4*h to the form q*h**2 + k*h + l and give q.
6
Express (3*s - 3*s + 2*s)*(0 + 5 - 2)*(3 + 2 - 2) in the form l + f*s and give f.
18
Rearrange -12*x - 44 + 24*x - 13*x - 2*x**2 + (-6*x + x + 3*x)*(x + 0 + 0) to the form t*x + u*x**2 + g and give u.
-4
Rearrange 4*r**2 + 7*r**3 - 6*r**3 - 4*r**2 + 2 + 5*r**4 to the form j + s*r**2 + y*r + x*r**3 + m*r**4 and give j.
2
Express (9 - 3 + 18)*(-2*b + 0 + 0) in the form h + r*b and give r.
-48
Rearrange (22*a**2 + 2*a**3 - 26*a**2 - 3*a + 4*a)*(-2 - 2 + 1) to the form l*a + m*a**2 + s*a**3 + p and give l.
-3
Rearrange -3087 + 2*p + 3116 - 4*p to a*p + v and give a.
-2
Express (-68*x**2 - 289*x + 289*x)*(0*x + 0*x - 4 - 2*x) as q + s*x + o*x**2 + f*x**3 and give f.
136
Express -35*g**2 + 195 - 195 as c*g + q + z*g**2 and give z.
-35
Express (-1 + 2*o + 1)*(-o + 0 + 0) + 3*o**2 + 8*o**2 - 6*o**2 as r + x*o + a*o**2 and give a.
3
Express -7*h**2 + 1 + 7*h**2 + 8*h**2 as q + y*h + u*h**2 and give u.
8
Rearrange (2*o + 2 - 2)*(0 + 1 + 1)*(o - o + 2*o)*(4 - 3 - 6 - o**2) to m*o**4 + t*o + n*o**2 + v*o**3 + r and give m.
-8
Express 2 - 13*o - 11*o - 7*o + 6*o in the form j*o + q and give j.
-25
Express 2*h - 27*h**2 - 4*h**3 + h**4 - 1 - 20*h**2 - h + 49*h**2 in the form b*h + p*h**3 + u*h**4 + l*h**2 + c and give b.
1
Express -23*s + 21*s**2 + 18*s**2 - 36*s**2 as c*s + b + y*s**2 and give c.
-23
Express (7*g + 0 + 0)*(-6*g + 6*g + 3*g**3) as p*g**2 + q + i*g**4 + c*g + d*g**3 and give p.
0
Rearrange 2*b + 4*b - 4*b + 9*b to the form p + q*b and give p.
0
Express -n**3 - n**2 - 3*n**3 - 2 + n**3 + 2*n**3 as x + i*n + w*n**2 + h*n**3 and give h.
-1
Express 22*x**3 - 20*x**3 - 3*x**2 - x**2 + 2 in the form w*x**2 + p*x + f*x**3 + r and give r.
2
Rearrange (-70*c + 70*c - 2*c**2)*(1 + 1 + 0)*(2*c + c - 2*c) to the form k*c + u + v*c**2 + n*c**3 and give n.
-4
Express -19*u + 10*u - 79*u**2 + 9*u as h*u + w*u**2 + f and give w.
-79
Rearrange 13 + 1 - 28 + n to l*n + g and give l.
1
Express -9*z - 5*z**2 - 2 + 3*z**2 + 11*z in the form c + d*z + s*z**2 and give d.
2
Express 3 + 2 - 6*j**2 - 6 - 11*j**2 as f*j + a*j**2 + o and give o.
-1
Express 2*m - 323*m**2 - 2*m + 193*m**2 as j*m + b + s*m**2 and give s.
-130
Express (-40 + 14 + 4)*(d - 4 + 4) + (-3*d - d + 2*d)*(6 - 3 - 4) in the form x*d + m and give x.
-20
Rearrange -5*p + 39*p**2 - 7*p**3 - 4*p - 38*p**2 to h*p + z*p**3 + l*p**2 + f and give h.
-9
Express (-3 - 2*m**3 + 3)*(-2 - 2 + 3) + (2*m**2 - 4*m**2 + m**2)*(m - m + m) + 10*m**3 - 51*m**2 + 51*m**2 in the form d*m + b + l*m**2 + u*m**3 and give u.
11
Rearrange (-3*x + 0*x + x)*(-6 + 0 + 4) + 5*x - x + 2*x - 2 + x + 2 + 2*x + 0*x + 5*x - 2*x to z + r*x and give r.
16
Rearrange 44 - 4*p**4 - 2*p**3 - 44 + (3*p + 2*p + 4*p)*(-2*p**3 + 4*p**3 + p**3) to the form n*p**3 + w + r*p**2 + j*p**4 + i*p and give r.
0
Rearrange (-a**2 + 2 + 2 + 0*a**2)*((-1 + 0 + 2)*(-3 + 4 - 2) - 3 + 0 + 5) to s + j*a**2 + k*a and give s.
4
Express 2 + 2 - q - 1 - q**2 - q**4 + q**3 + 3*q**4 as o*q + w*q**4 + r*q**3 + m*q**2 + g and give g.
3
Rearrange -12*a + 4*a**4 - 15*a + 26*a + 3 + 2*a**2 to the form w*a**3 + l + s*a**2 + q*a**4 + t*a and give l.
3
Rearrange (0 - 1 - 1)*(34*o - 3*o**2 - 3 - 34*o) + 3*o**2 + o**2 - 3*o**2 to the form b*o + g*o**2 + z and give g.
7
Express -9*o + 27*o + 22*o - 5 + 4 in the form p*o + m and give p.
40
Rearrange 0*p + 3*p - 5*p + (-4 + 2 + 3)*(96*p + 7*p - 48*p)*(0 + 1 + 0) to w*p + r and give w.
53
Rearrange 10*m - 6*m - m + 10*m to the form l*m + f and give l.
13
Express 371*l + 49*l**2 - 371*l as q*l**2 + r*l + i and give q.
49
Express 3*j**2 + 4*j**3 - 2*j**2 - 3*j**2 - 7*j**3 - 2*j in the form u*j + p + b*j**3 + o*j**2 and give b.
-3
Express -2 + 10 - 2 - 2*c**4 + c**2 + 0 - c**3 in the form z*c + s*c**3 + r*c**2 + g*c**4 + n and give g.
-2
Express (-1 + 2 - 2 + 3 + 1 - 6 + (-2 + 0 + 3)*(-4 + 4 - 1) + 0 - 1 - 1)*(56*a - 9*a + 6*a) as r*a + m and give r.
-318
Express -6*l + 6*l + 36*l in the form s + w*l and give w.
36
Rearrange (2 - 2*z - 2)*(3 + 0 - 1) + 20*z - 10*z - 20*z + 3*z + z - 2*z + (z + z - 3*z)*(0 - 1 - 1) - 2*z + z + 0*z to the form a*z + g and give a.
-11
Express (-2 + 3 + 0)*(6*n**2 - 4*n**2 + 0*n**2) + 0*n + 0*n + n**2 as x + w*n + r*n**2 and give r.
3
Rearrange -5*l**2 + 0 + 1 + 3 - 2 to the form p + f*l**2 + r*l and give f.
-5
Express -4*h**2 - 7*h**2 + 4*h**2 - 6*h**2 in the form w*h**2 + y + a*h and give w.
-13
Express -12*z**2 + 8*z**2 + 6*z**2 + (-z**2 - z + z)*(-1 - 1 + 3) as c*z + w + x*z**2 and give x.
1
Rearrange 1 - 4*p + p**3 + 4*p - 2*p**3 + 4*p**2 to y + s*p + c*p**3 + r*p**2 and give c.
-1
Rearrange -14*a + 12*a + 6*a**4 + a**4 + 2*a**2 - 2 to the form q*a**4 + h*a**3 + m + o*a + l*a**2 and give m.
-2
Rearrange (-1 + 1 + 2*y)*(-y + 2*y - 3*y)*(-2*y + 0*y + 5*y) to t*y**3 + l + h*y + k*y**2 and give t.
-12
Express 2*s**4 + s + 2*s**2 - 2456*s**3 + 2456*s**3 in the form b*s**2 + n + t*s + c*s**4 + d*s**3 and give c.
2
Express (-3*k**2 - 3*k + 3*k)*(59 - 59 - 42*k) in the form w*k**3 + z*k**2 + i + f*k and give f.
0
Express (1 - 3 + s + 1)*(41*s -
|
{
"pile_set_name": "DM Mathematics"
}
|
39615
Which is the nearest to 30? (a) -2 (b) 186 (c) 23 (d) -2/41 (e) 4
c
Which is the nearest to -1? (a) -0.1 (b) 32/5 (c) 0.5 (d) -2/65 (e) -11
a
What is the nearest to 7.4 in 4/5, -5, -3870?
4/5
What is the closest to -9/7 in 4, -8/13, -1/3, -5?
-8/13
What is the nearest to 6 in -0.4, 1162, -1, 5?
5
What is the nearest to -0.1 in -1, 0.0017, -2, -15?
0.0017
What is the nearest to -6243 in -1/4, 0.029, 23, 1/3?
-1/4
Which is the closest to -1? (a) 2/11 (b) 2/3 (c) 0.267885 (d) -2/5 (e) -1/8
d
Which is the nearest to 0.3? (a) -2 (b) -1/33 (c) -0.2 (d) -5 (e) 1/3 (f) -3151
e
What is the nearest to -0.1 in 3/4168, 3, 4, -4, -0.4?
3/4168
Which is the closest to -19? (a) 3 (b) -36 (c) 169 (d) -2/9
b
Which is the nearest to 6? (a) 0.4 (b) 4/5 (c) -7 (d) -1/64
b
Which is the nearest to -0.121? (a) 0.5 (b) 27 (c) 20 (d) -5
a
Which is the nearest to 0.1? (a) 2/11 (b) 2489 (c) 1 (d) -16 (e) 2/13
e
Which is the closest to -20? (a) -4 (b) 499 (c) -2/3 (d) -0.5
a
Which is the nearest to 12? (a) 0.5 (b) -5/4 (c) -0.149
a
Which is the closest to -1/2? (a) -1/3 (b) -1 (c) 30/131 (d) 5 (e) 2/21
a
Which is the nearest to 1? (a) 1 (b) -7 (c) -4/9 (d) -6/59 (e) -3 (f) 0.1
a
Which is the nearest to -154? (a) 26715 (b) 1/7 (c) 3/5
b
What is the closest to -2/13 in -4, -0.6724, 2/17?
2/17
What is the nearest to -0.1105 in 3, 5, -0.2, 2.1, -2/9?
-0.2
Which is the nearest to -4? (a) 0.1 (b) 0 (c) 81529
b
What is the nearest to 3/11 in 0.1, -0.01, -1/1606, 3/5?
0.1
Which is the closest to -1? (a) 1/121 (b) -14/13 (c) 0.11 (d) -2/3 (e) 5
b
Which is the nearest to -0.062? (a) -0.5 (b) 0.2 (c) 4 (d) 52/5 (e) -0.2
e
What is the closest to 59 in 2/5, -0.33, 1763?
2/5
Which is the closest to 7.0472? (a) -2/29 (b) 6 (c) -1/11
b
What is the nearest to -0.06 in -6143.8, 0, 2?
0
Which is the nearest to -0.1? (a) 5 (b) -0.5 (c) -0.8 (d) -5 (e) 118 (f) 36
b
What is the closest to 1474 in 7/61, 5, -41?
5
What is the closest to -4 in -24/5, -1290, -1/5, 2/5, -1/32?
-24/5
Which is the nearest to -1.1? (a) 1.8 (b) -275.4 (c) -9
a
What is the nearest to 4/7 in -0.295, -1/17, -4, -1/12?
-1/17
Which is the closest to 69? (a) -0.01 (b) 2 (c) -0.320484
b
Which is the closest to 339790? (a) 0.2 (b) 2/7 (c) -0.5 (d) 2
d
What is the closest to -1 in -3/5, 3, 0, 11452, 1?
-3/5
What is the nearest to 13 in 0.01, 2, -1/5, 2/21, -6/1921?
2
What is the nearest to -22 in -330, -20, -1/6?
-20
What is the closest to 0.1 in 0, -2/1549, -1209/29, -1/6?
0
Which is the closest to 17/5059? (a) 2 (b) 5 (c) -0.2 (d) 1/4
c
What is the nearest to 0.2 in -8/5, 4, 1814.82?
-8/5
What is the nearest to 37 in 0, 3, -1461, -1, -0.2?
3
What is the closest to 0.6 in 0.5, -1, 0.4, -6, -0.1598, -5/4?
0.5
What is the nearest to 2 in -0.5, 0.3232, -72.3, 2?
2
Which is the closest to 2037? (a) 0.3 (b) 3 (c) -1/4 (d) -0.013
b
Which is the nearest to -2/3? (a) 8 (b) 0.5 (c) 0.79 (d) -6/7 (e) -28
d
Which is the nearest to -4? (a) -183.1 (b) 5/4 (c) -345
b
Which is the nearest to -60? (a) -3/4 (b) 0.012 (c) 122
a
Which is the nearest to -1? (a) 0.029 (b) -0.1 (c) 0.07 (d) -1/7 (e) 2/3 (f) -473
d
What is the closest to 0.12 in 3/2, -2.114, -31?
3/2
Which is the closest to 4/17? (a) -4 (b) -0.01 (c) 5 (d) 0.38
d
What is the nearest to -0.01 in -0.3, -2/15, -1.8, 645/8, -1/3, 163/3?
-2/15
Which is the closest to 1? (a) 0 (b) 0.5 (c) 291 (d) -0.7 (e) 49
b
What is the nearest to 2/9 in -2/17, -5, 32, -0.01, -1/3, 1/67?
1/67
Which is the nearest to -1? (a) 93308 (b) -3 (c) -1/17
c
What is the closest to -2/5 in 281.238, -2, -0.4?
-0.4
What is the closest to 0.1 in -4/3, 2/3, -1259, -0.2?
-0.2
What is the nearest to 0 in 40/17, 0.1, 5, 2/11, -10?
0.1
What is the nearest to 3/20 in -1/5, 5, 23, -2, -1/4?
-1/5
Which is the closest to 23? (a) -777 (b) 1/4 (c) -3 (d) 21/4 (e) -14/3
d
Which is the nearest to -0.1? (a) -0.1 (b) -2/5 (c) -261.419 (d) 1
a
Which is the nearest to 0.3? (a) -2674 (b) -5 (c) 7 (d) -2
d
What is the nearest to 2 in -2/5, -1/13, 2/187, -2/55, -7?
2/187
Which is the nearest to -0.4? (a) -0.2 (b) 3 (c) -1/2 (d) 1 (e) 5935
c
Which is the nearest to 0.046? (a) -1 (b) -6/23 (c) -2/11 (d) -2 (e) 6
c
Which is the nearest to 40833? (a) -6 (b) -24 (c) -0.5
c
What is the nearest to 12 in -3, 422, 2/11, 0.6?
0.6
What is the nearest to 1 in 0.5, 0.4, 189797, -2, 26?
0.5
What is the nearest to 0.2 in -13048, -1, 1/3, -18?
1/3
Which is the nearest to -2? (a) 0.2 (b) 53 (c) 19 (d) 3 (e) -58
a
Which is the closest to 57? (a) 1 (b) -2 (c) 5 (d) -5/12 (e) -10 (f) -5
c
What is the nearest to -2/5 in 90, -0.3, -1161, 3, 0.3?
-0.3
Which is the nearest to -0.3? (a) -0.5 (b) 28 (c) -2/11 (d) 0 (e) -19 (f) -0.4
f
Which is the closest to -3? (a) 3 (b) -0.06 (c) -11 (d) -0.6 (e) -0.2
d
What is the nearest to 38/999 in 4, -0.1, -0.02?
-0.02
Which is the nearest to 2? (a) -5 (b) 6755 (c) 4/3 (d) -1 (e) -10
c
What is the closest to 12821 in -3/17, 2, -0.3, 3, 4/7?
3
Which is the nearest to -39? (a) -18 (b) -0.3 (c) -0.285
a
Which is the closest to 2.3? (a) 19 (b) -4834 (c) -1/7 (d) -1/3 (e) -4 (f) 1/4
f
What is the closest to -175 in 28.29, -2, 0.5?
-2
What is the closest to 3/2 in -0.4, -0.014, -11956/3?
-0.014
What is the closest to -1173 in -17, -2, 3, -0.6?
-17
Which is the nearest to -1/3? (a) 0.2 (b) -4 (c) 215.8 (d) -8 (e) -5 (f) 21
a
Which is the nearest to 0? (a) -0.1 (b) 0.18 (c) 168 (d) 132
a
What is the nearest to 0.2 in 3, 368, -0.1, 0.083, -3.2?
0.083
What is the nearest to -5 in 9, -12, -7069/12?
-12
What is the closest to -1/2 in -0.4, -0.02, -138.5, 0?
-0.4
Which is the closest to 11? (a) -792 (b) -2 (c) -1.527 (d) 0
d
Which is the closest to 0.143? (a) 2/17 (b) -3.74 (c) -1 (d) -2
a
Which is the nearest to 2/5? (a) -3/5 (b) 5/2 (c) 0.2 (d) -29072
c
What is the nearest to -1 in 0, 2, -14/5, 1/878, 4/7?
0
What is the nearest to 32/43 in 0.15, -3, -5, 5?
0.15
What is the closest to 2/5 in -817, 0.2, -0.1, 3129?
0.2
What is the closest to 86 in 3, 3/5, -220/3?
3
What is the nearest to 2 in 691, -0.05, 2/3, 1/4, -1, -18?
2/3
What is the closest to -2 in -4, 3.25, 0.5, -0.5?
-0.5
What is the nearest to 0.1 in -2, -251, -72, -1/5, 1/5?
1/5
Which is the closest to -1? (a) 29 (b) -2 (c) -7737 (d) 5/6 (e) -1/2
e
Which is the nearest to 5/4? (a) -5 (b) -9 (c) 6 (d) 1283 (e) 0
e
What is the nearest to 5 in -1, 130/7, -8, -2?
-1
What is the closest to -1/4 in 0.2, -1/9, 2/3, -6689?
-1/9
What is the nearest to -0.4 in -1/12, 3.1, -0.0378, -45?
-1/12
Which is the closest to -1? (a) 46 (b) 1/2 (c) -47/6 (d) -6
b
Which is the nearest to 0.01? (a) 11 (b) -1/5 (c) -0.075 (d) -2/187
d
Which is the closest to 2/7? (a) 100 (b) 87 (c) -24
c
Which is the nearest to 0.7? (a) 3 (b) 14.9 (c) 0.2 (d) -66 (e) 0.05
c
Which is the closest to -1? (a) -0.3 (b) 0.08 (c) 304/55 (d) -0.4
d
What is the nearest to 19082 in -2, -80, -11, -0.5?
-0.5
Which is the closest to 4? (a) -29203 (b) -3/2 (c) -11/2
b
What is the closest to -0.02110762 in -1, 8, 1/8, 2?
1/8
What is the closest to -747 in -11, 5, -2, 0.2, 0.01?
-11
What is the closest to 4 in -1/11, -5.9, -1.35?
-1/11
What is the nearest to 0.12 in -1, 0.253, 4.4, 3?
0.253
Which is the closest to 11? (a) -128 (b) -4479 (c) 0.01
c
Which is the nearest to -0.179? (a) 4 (b) -0.4 (c) -190605
b
What is the nearest to 4 in -3, 6, 2526, -25?
6
What is the nearest to 1/3 in -68, -3/2, -74, 7, -3, 5?
-3/2
What is the nearest to -13 in -3/82, -0.4, -12, 1, -1/4?
-12
What is the closest to -38/5 in 78.25, 5, 1?
1
What is the closest to 5 in 2/109, -0.0601, 1?
1
What is the closest to 4 in 382, 198/5, -0.4, -119?
-0.4
Which is the closest to 2? (a) 1.44024 (b) 5/6 (c) -2
a
Which is the nearest to -0.08003? (a) -1 (b) 5.4 (c) 0.043
c
What is the closest to 1/3 in -0.4, 0.1233, -299, 4?
0.1233
What is the closest to 19472 in 118, -5, 0.06?
118
What is the nearest to -8 in 560, 0.02, 65?
0.02
Which is the closest to 4/3? (a) 2 (b) 96/7 (c) -16 (d) 0.5
a
Which is the closest to -34/5? (a) -5/4 (b) -37.15 (c) 4/5 (d) -0.3 (e) -1
a
Which is the closest to 17?
|
{
"pile_set_name": "DM Mathematics"
}
|
67 minutes after 9:11 PM?
11:58 PM
How many minutes are there between 11:21 AM and 10:58 PM?
697
What is 458 minutes before 1:40 AM?
6:02 PM
What is 646 minutes before 1:23 AM?
2:37 PM
What is 342 minutes after 10:29 PM?
4:11 AM
How many minutes are there between 8:00 AM and 12:15 PM?
255
How many minutes are there between 8:03 PM and 1:34 AM?
331
How many minutes are there between 5:07 PM and 4:46 AM?
699
What is 92 minutes before 9:51 PM?
8:19 PM
What is 586 minutes before 3:13 AM?
5:27 PM
What is 641 minutes before 6:10 PM?
7:29 AM
How many minutes are there between 4:22 PM and 3:44 AM?
682
How many minutes are there between 1:45 AM and 11:04 AM?
559
What is 39 minutes after 5:47 AM?
6:26 AM
How many minutes are there between 12:06 PM and 7:30 PM?
444
What is 373 minutes before 3:07 PM?
8:54 AM
How many minutes are there between 8:56 AM and 1:58 PM?
302
How many minutes are there between 3:47 PM and 4:43 PM?
56
How many minutes are there between 10:09 AM and 7:37 PM?
568
What is 354 minutes after 2:29 PM?
8:23 PM
How many minutes are there between 7:38 AM and 11:53 AM?
255
How many minutes are there between 3:23 AM and 5:58 AM?
155
How many minutes are there between 4:24 PM and 11:05 PM?
401
How many minutes are there between 1:12 AM and 9:57 AM?
525
What is 693 minutes before 3:10 AM?
3:37 PM
What is 697 minutes after 11:11 AM?
10:48 PM
What is 194 minutes after 5:08 PM?
8:22 PM
What is 707 minutes after 6:27 AM?
6:14 PM
How many minutes are there between 6:49 PM and 10:40 PM?
231
What is 167 minutes before 3:24 AM?
12:37 AM
What is 482 minutes after 5:03 AM?
1:05 PM
What is 325 minutes before 12:56 PM?
7:31 AM
What is 552 minutes after 6:29 AM?
3:41 PM
How many minutes are there between 9:04 PM and 4:43 AM?
459
How many minutes are there between 10:59 PM and 2:57 AM?
238
What is 457 minutes before 4:07 PM?
8:30 AM
How many minutes are there between 4:17 AM and 5:39 AM?
82
What is 706 minutes after 1:00 AM?
12:46 PM
What is 675 minutes before 2:10 PM?
2:55 AM
How many minutes are there between 4:55 AM and 3:00 PM?
605
What is 428 minutes after 5:52 AM?
1:00 PM
What is 25 minutes after 12:50 AM?
1:15 AM
What is 69 minutes before 10:43 PM?
9:34 PM
What is 406 minutes before 3:11 PM?
8:25 AM
How many minutes are there between 5:40 AM and 4:41 PM?
661
What is 103 minutes after 11:30 PM?
1:13 AM
How many minutes are there between 6:58 AM and 2:46 PM?
468
How many minutes are there between 4:52 AM and 4:34 PM?
702
What is 111 minutes after 8:40 AM?
10:31 AM
How many minutes are there between 7:06 PM and 7:25 PM?
19
How many minutes are there between 6:48 AM and 8:48 AM?
120
How many minutes are there between 2:07 AM and 9:01 AM?
414
How many minutes are there between 4:30 AM and 5:03 AM?
33
How many minutes are there between 2:03 AM and 1:43 PM?
700
What is 126 minutes after 3:36 AM?
5:42 AM
How many minutes are there between 2:42 PM and 1:10 AM?
628
How many minutes are there between 1:09 PM and 11:20 PM?
611
What is 401 minutes before 11:35 PM?
4:54 PM
What is 639 minutes after 9:36 AM?
8:15 PM
What is 127 minutes after 7:56 PM?
10:03 PM
How many minutes are there between 7:53 AM and 6:23 PM?
630
What is 627 minutes before 10:00 AM?
11:33 PM
How many minutes are there between 9:27 PM and 5:03 AM?
456
What is 472 minutes after 12:18 PM?
8:10 PM
How many minutes are there between 9:44 AM and 4:26 PM?
402
What is 156 minutes after 5:34 PM?
8:10 PM
How many minutes are there between 3:11 PM and 10:07 PM?
416
How many minutes are there between 7:36 PM and 7:25 AM?
709
How many minutes are there between 5:42 PM and 10:55 PM?
313
How many minutes are there between 2:45 AM and 2:06 PM?
681
What is 344 minutes after 11:21 PM?
5:05 AM
How many minutes are there between 9:21 PM and 6:19 AM?
538
What is 136 minutes after 1:57 PM?
4:13 PM
What is 507 minutes after 5:02 PM?
1:29 AM
What is 101 minutes after 10:13 PM?
11:54 PM
How many minutes are there between 9:55 PM and 6:19 AM?
504
How many minutes are there between 9:03 PM and 8:46 AM?
703
What is 588 minutes before 8:33 AM?
10:45 PM
What is 309 minutes before 5:24 AM?
12:15 AM
What is 530 minutes before 2:02 AM?
5:12 PM
What is 255 minutes before 4:22 PM?
12:07 PM
How many minutes are there between 12:20 PM and 11:47 PM?
687
How many minutes are there between 12:41 AM and 2:47 AM?
126
What is 236 minutes after 11:07 PM?
3:03 AM
What is 126 minutes before 9:45 PM?
7:39 PM
How many minutes are there between 10:58 PM and 11:09 PM?
11
What is 103 minutes after 8:04 PM?
9:47 PM
What is 244 minutes after 10:11 PM?
2:15 AM
How many minutes are there between 8:32 AM and 1:09 PM?
277
What is 628 minutes before 2:05 AM?
3:37 PM
What is 520 minutes after 1:53 PM?
10:33 PM
How many minutes are there between 1:30 PM and 12:51 AM?
681
How many minutes are there between 11:48 PM and 9:58 AM?
610
What is 144 minutes after 4:21 PM?
6:45 PM
How many minutes are there between 8:32 AM and 1:47 PM?
315
How many minutes are there between 3:46 AM and 3:16 PM?
690
What is 137 minutes before 8:41 AM?
6:24 AM
What is 670 minutes before 6:05 AM?
6:55 PM
What is 539 minutes after 11:27 AM?
8:26 PM
How many minutes are there between 5:26 AM and 9:51 AM?
265
What is 611 minutes before 8:45 PM?
10:34 AM
What is 313 minutes after 9:16 AM?
2:29 PM
What is 318 minutes after 12:04 PM?
5:22 PM
What is 432 minutes after 8:28 AM?
3:40 PM
How many minutes are there between 1:34 AM and 6:36 AM?
302
What is 286 minutes before 4:30 PM?
11:44 AM
What is 25 minutes before 7:47 AM?
7:22 AM
What is 646 minutes before 2:03 PM?
3:17 AM
How many minutes are there between 5:54 PM and 2:10 AM?
496
What is 439 minutes after 11:43 PM?
7:02 AM
How many minutes are there between 3:41 PM and 10:41 PM?
420
What is 305 minutes before 5:31 PM?
12:26 PM
How many minutes are there between 11:17 PM and 7:30 AM?
493
How many minutes are there between 9:49 AM and 6:33 PM?
524
How many minutes are there between 11:44 PM and 10:04 AM?
620
What is 181 minutes before 8:07 PM?
5:06 PM
How many minutes are there between 12:12 PM and 11:32 PM?
680
How many minutes are there between 2:43 AM and 3:52 AM?
69
How many minutes are there between 2:54 AM and 7:00 AM?
246
What is 557 minutes after 6:40 PM?
3:57 AM
What is 418 minutes after 7:25 PM?
2:23 AM
How many minutes are there between 2:15 AM and 10:31 AM?
496
How many minutes are there between 1:24 AM and 9:07 AM?
463
What is 592 minutes before 8:35 PM?
10:43 AM
What is 672 minutes after 9:28 PM?
8:40 AM
What is 700 minutes before 2:12 PM?
2:32 AM
How many minutes are there between 1:00 AM and 2:44 AM?
104
What is 690 minutes before 12:05 PM?
12:35 AM
What is 538 minutes after 4:57 AM?
1:55 PM
How many minutes are there between 2:52 AM and 2:14 PM?
682
What is 184 minutes after 2:32 AM?
5:36 AM
How many minutes are there between 8:02 AM and 3:41 PM?
459
How many minutes are there between 10:48 AM and 6:16 PM?
448
What is 320 minutes after 8:12 PM?
1:32 AM
What is 467 minutes before 8:30 PM?
12:43 PM
What is 418 minutes before 6:17 PM?
11:19 AM
How many minutes are there between 7:59 AM and 10:15 AM?
136
How many minutes are there between 10:56 PM and 7:33 AM?
517
How many minutes are there between 11:23 AM and 9:54 PM?
631
What is 408 minutes after 6:15 AM?
1:03 PM
How many minutes are there between 2:19 PM and 3:56 PM?
97
What is 416 minutes after 1:20 PM?
8:16 PM
How many minutes are there between 5:48 AM and 4:50 PM?
662
How many minutes are there between 6:23 AM and 1:03 PM?
400
What is 607 minutes before 1:08 PM?
3:01 AM
How many minutes are there between 12:38 PM and 9:15 PM?
517
What is 699 minutes after 3:25 PM?
3:04 AM
What is 238 minutes before 6:04 PM?
2:06 PM
How many minutes are there between 2:42 PM and 8:58 PM?
376
What is 60 minutes after 4:22 PM?
5:22 PM
What is 628 minutes after 12:50 AM?
11:18 AM
What is 175 minutes after 6:10 AM?
9:05 AM
How many minutes are there between 1:59 AM and 10:45 AM?
526
What is 249 minutes before 4:49 AM?
12:40 AM
How many minutes are there between 5:14 AM and 10:31 AM?
317
What is 170 minutes after 12:21 PM?
3:11 PM
How many minutes are there between 11:06 AM and 9:05 PM?
599
How many minutes are there between 9:35 AM and 1:31 PM?
236
How many minutes are there between
|
{
"pile_set_name": "DM Mathematics"
}
|
Let k = -14 + l. Solve -k*n + 6 = -o*n for n.
2
Suppose -r + 5*s + 139 = 161, 2*r - 3*s = -2. Solve -r*i - 190 = -246 for i.
7
Let j = -312 - -215. Let d = j - -107. Suppose -2*f + 0*p = 5*p + 15, 0 = f + 3*p + d. Solve 0*g = f*g for g.
0
Let a be ((2 - (0 + 14)) + 0)*336/(-448). Solve -150 = 41*p + a*p for p.
-3
Suppose -26*r - 12 = -29*r, 3*i - 63 = 3*r. Let l(x) = -x**3 - 5*x**2 + 2. Let b be l(-5). Let p(q) = q - 2. Let h be p(5). Solve -h*f = b*f + i for f.
-5
Let d(r) be the third derivative of -r**4/24 - 5*r**3/6 - 7*r**2. Let b(y) = -3*y - 21. Let c(h) = 4*b(h) - 15*d(h). Let k be c(3). Solve s + k*s = 0 for s.
0
Let w be (-3)/(-15) - 63/(-35). Solve -w*z + 104 = 98 for z.
3
Suppose -3 = -2*t + 1. Suppose -2*a + 8 = -4*i - 36, 0 = -4*a + t*i + 88. Suppose 28 = 3*l + a. Solve -p - p = -l for p.
1
Suppose -4 = 4*u - 4*i + 4, 0 = 5*u + 4*i - 26. Suppose -4*x = -0*x + u*x. Solve 4*g = -x*g - 16 for g.
-4
Let t be (690/105)/(2/(16 - 2)). Solve 9 = -37*k + t*k for k.
1
Let a be 6/171 + (-16139990)/(-6954). Solve 2314*h - a*h - 28 = 0 for h.
-4
Let g be ((4 + -5)/(-1))/(2/38). Suppose 0 = g*t - 14*t - 20. Suppose 3*m = -0*m. Solve t*a + 0*a - 12 = m for a.
3
Let u be (-2)/((56/4620)/(1/(-5))). Solve -22 = 11*w - u for w.
1
Suppose -4*h + 3*m - 4*m + 12 = 0, 3*m = 4*h - 28. Let g(b) = -25*b - 24. Let l be g(-1). Solve l = -h*u - 3 for u.
-1
Let t(v) = -3*v**2 + 5*v - 6 - 2*v**2 + v**3 - 3*v**2 + 5*v**2 - 2. Let n be t(3). Solve r = -n + 2 for r.
-5
Let y(g) = 68*g**2 - 3*g - 3. Let v be y(3). Suppose -2*p + v = 8*p. Let r be ((-15)/p)/(2/(-32)). Solve -q = -r*q for q.
0
Let n = -2 + -5. Let g be (-1)/n + 4444/154. Solve -5*s + 24 - g = 0 for s.
-1
Let y(z) be the second derivative of -z**5/20 - 5*z**4/12 + z**3/6 - 15*z**2 + 2*z + 19. Let w be y(-6). Solve w = m - 0 + 4 for m.
-4
Let n = -224 + -24. Let v be (15/10)/((1 - -3)/n). Let l = 108 + v. Solve -u - 4*u = -l for u.
3
Let h = 6852 + -6948. Suppose -8*w + 5 = -3*w, 0 = -g + w - 92. Let a = g - h. Solve 0 = -a*i + 12 + 3 for i.
3
Let v = -64 - -66. Suppose 5*u - v = 13. Suppose -41*k = -19*k. Solve -u*d + 4 + 5 = k for d.
3
Let l = -15 - -30. Let p be (-600)/350 - (-2808)/168. Solve -6*z = l + p for z.
-5
Let d = 2216 - 2177. Solve d*l = 40*l + 1 for l.
-1
Let k be (35/10)/(6/12). Solve 12 - 33 = k*y for y.
-3
Suppose i - 5*i + 8 = 0. Suppose 2*n + 52 = i*r, 4*n - 12 = n. Suppose -2*d + 43 = 5*w + d, 2*d = 4*w - r. Solve 3*s + w = -7 for s.
-5
Let j(s) = s**2 - 13*s + 34. Suppose -6*f - 41 + 5 = 0. Let r be (-58)/f - 7/(-21). Let k be j(r). Solve 2 = -k*n + 6 for n.
1
Let b(z) = -7*z - 214. Let n(t) = -t**2 + 19*t - 121. Let k be n(9). Let o be b(k). Solve 0 = o*w - 10 + 22 for w.
-4
Let z be 6/9 - (-746)/6. Suppose -2*b = 5*t - 257, 5*b + 5*t - 207 - 413 = 0. Let n = z - b. Solve -n = 3*d - 1 for d.
-1
Suppose 7*n - 21*n = 11*n - 375. Solve -n - 25 = -10*f for f.
4
Let j be 5 + 1454/18 + 90/405. Solve -5*g - 71 + j = 0 for g.
3
Let k be (-6)/(-57) + 32277/399. Solve -k*b - 72 = -73*b for b.
-9
Let c be (-904)/(-12) + (-6)/(-9). Suppose -c = 32*y - 300. Solve -6 = -y*q + q for q.
1
Suppose -10 = -10*g + 50. Let h(s) = s**2 + 27*s - 748. Let z be h(17). Solve z = -2*f - g for f.
-3
Suppose -3*r + 13 = 1. Let x(c) = c**3 + 7*c**2 + 11*c + 36. Suppose 53 + 49 = -17*n. Let v be x(n). Solve -v*q + 2*q = -r for q.
1
Let p be 3*(-4)/24*31*2. Let n = 59 + p. Suppose -6*c + n = 8*c. Solve -c*t + t = -5 for t.
5
Suppose 12 = 9*x + 3. Suppose -4*f + r = 15, 2*r + r = 9. Let u = f + 5. Solve 0 = -m + u*m - x for m.
1
Let s = 101 - 34. Let m = 50 - 117. Let b = m + s. Solve 4*o + o + 25 = b for o.
-5
Suppose 0 = -6*f - 103 + 61. Let h be (-13)/(-5) - (f - 132/(-20)). Solve 0 = h*j - 4 + 16 for j.
-4
Suppose -333 = -196*g + 255. Let f be 4/(-18) + 4/18. Solve f = -g*z - 0*z + 9 for z.
3
Let y be 70/9 + 2/9. Let k(w) = -w**2 + 14*w + 127. Let x be k(-6). Suppose -4*p = -2*p - 10. Solve -x*u - y = -p*u for u.
-4
Suppose 0 = a + 5*t + 12 - 10, -4*a = 2*t - 10. Suppose -12 = a*h - 69. Solve -h = -2*y - 21 for y.
-1
Let j = -16615 + 16619. Solve -10*x + 14 = j for x.
1
Let t(i) = 2*i**2 - 62*i + 484. Let v be t(17). Solve 221*c - v = 229*c for c.
-1
Let x = -4644 + 4740. Solve x = -17*w - 7*w for w.
-4
Suppose -1893*c = -1892*c - 220. Solve -c = -37*d - 18*d for d.
4
Let w(h) = 3*h**3 + 4*h**2 - h + 7. Let p be w(-4). Let t be 80/26 + 9/p. Solve -2 = -g - t for g.
-1
Let g be 2/(-3) - (260/15)/4. Let v be (((-15)/2)/g)/(2/60). Let c = -37 + v. Solve p = -p - c for p.
-4
Let b be 3 + -7 - -2 - (3 + -3). Let l be ((-52)/8 - -6)/(b/(-24)). Let d(a) = a**2 + 4*a - 9. Let m be d(l). Solve n = 4*n - m for n.
1
Let x(q) = q**3 + 6*q**2 - 7*q - 13. Suppose -5*z = 8*z + 78. Let t be x(z). Suppose 3*j - 5*b = 0, -4*j + b - 4*b + t = 0. Solve -j*k = -2*k for k.
0
Let g = -30 + 40. Suppose -9*w + g + 17 = 0. Suppose -2*b = -w*v - 8, 0 = -0*b + 3*b + 3*v - 12. Solve -l = b*l for l.
0
Let s = 37 - 58. Let k = -17 - s. Suppose -k*r + 4*h + 45 = r, -5*h - 30 = -r. Solve 16 = -r*j + 6 for j.
-2
Let p(v) = 16*v**2 - 8*v + 28. Let l be p(3). Let h be (-74)/l*(0 + 1 - 1). Solve -w + h = -1 for w.
1
Suppose 355*w = 347*w + 40. Solve 0 = 3*r - w*r + 2 for r.
1
Let c be (-48)/32*(-40)/3. Let x be (c/(-12))/((-55)/99). Solve x*l - l = -4 for l.
-2
Let f = 100 - 90. Let i be (-20)/(-8) + 15/f. Suppose i*w - 75 = 5*a, -w - 2*w + 5*a = -55. Solve 0 = 7*t - 2*t + w for t.
-4
Let a be 22 - 17 - (3 - 5)/(-2). Suppose -5*i = -a*k + 18, -2*i - 8 = -k + i. Solve k = 24*d - 23*d for d.
2
Suppose -2*p + 15 = p. Suppose -832 = -32*x + 768. Suppose 3*i + p = x. Solve -4*h - 5 = i for h.
-5
Suppose 38*n - 655 = -85. Solve 0 = 3*z + n*z - 54 for z.
3
Suppose 10*g - 22 = -52. Let c be g/(-6)*372/6. Solve -6 = -5*b - c for b.
-5
Let o = 32 + 438. Let y = o + -462. Solve -4*p + y*p = -4 for p.
-1
Let p = 51 + -109. Let x = p - -55. Let f be (-5*2/(-15))/((-2)/x). Solve f = -2*m + 5 for m.
2
Let d(f) = f**3 - 10*f**2 + 46*f - 301. Let l be d(9). Solve -7*z = 9*z + l for z.
-2
Let b(u) = 2 - u**2 + 4 + 0 + 7*u. Let m be b(6). Suppose -4*l + m = 4*v - 4, 0 = -v - 4*l + 16. Solve v*p = 4*p + 4 for p.
-1
Let a(y) = y**3 + 23*y**2 - 51*y - 35. Let x be a(-25). Let s be 10/15 + (-20)/3. Let h be s*1/x + 17/5. Solve -f + h = 3*f for f.
1
Suppose -16*y + 4116 - 876 = 29*y. Solve 252 - y = -36*r for r.
-5
Suppose -44 = -10*c - 4. Solve -c*p - 63 + 59 = 0 for p.
-1
Suppose 3*t + 160 = 2*i, 5*i = 4*t + 728 - 335. Solve 0 = i*v - 83*v - 30 for v.
-5
Let j be 64/48*(3 + (-21)/(-2)). Suppose 0 = 4*l + j*l - 220. Solve 0 = -5*s + 10 + l for s.
4
Let i(a) = -a**3 + 5*a**2 - 5*a + 8. Let x be i(4). Let g be (x - 3)*8*(-25)/10. Let j = -20 - g. Solve n - 3 + 6 = j for n.
-3
Let m be 2532/(-211) - (-16 - 0). Solve -160 = -m*s - 168 for s.
-2
Let v(a) = -3*a + 3. Let y be v(-3). Let q be 812/(-87)*(-6)/7. Solve -4*f - q - y = 0 for f.
-5
Let f(a) = -1. Let u(z) = 5*z - 8. Let t(k) = 2*f(k) - u(k). Let h be t(1). Solve h = w + 5 for w.
-4
Suppose -6*c - 6*c = 3*c. Solve c = 53*k - 52*k - 7 for k.
7
Let n = -32513 - -32786. Solve 267*x = n*x + 36 for x.
-6
Let u(a) be the first derivative of a**3/3 + 9. Let s be u(3). Solve -s*j = -4*j + 5 for j.
-1
Suppose 11*b - 5*t = 8*b + 22, b = -3*t - 2. Solve 188*n = 192*n - b for n.
1
Suppose -11 = -4*u + 3*o - 5, 18*u = 3*o + 48. Solve 14 = -u*j + 20 for j.
2
Suppose b = -4*p - 4 + 38, -2*b - 40 = -4*p. Suppose 4*v - 256 = -224, 14 = -5*j + 3*v. Solve 8*s = p*s - j for s.
2
Let b = 2 - -7. Let q(j) = j**3 - 11*j**2 + 20*j + 2. Let x be q(b). Let t be (2 + -8)*5/(-2 - 3). Solve -t*w = -w + x for w.
-4
Let p(r) be the third derivative of -11*r**4/8 - 60*r**3 + 2*r**2 + 2. Let k be p(-11). Solve -7*y + k*y = 0 for y.
0
Let l = -234 + 200. Let b = l + 36. Solve -b = 3*p - p for p.
-1
Let u be 30/(-14) - (-57840)/3374. Let g(l) = 1 + l**2 + l**2 - l**2. Let h be g(-1). Solve -u = -h*q + 7*q for q.
-3
Let f be (-693)/126*(-52)/22. Solve -f*c = 20 - 72 for c.
4
Let i(y) = 3*y**2 + y - 4. Let s be i(-2). Suppose -2*j = 2*d - 0 - 26, -3*j - 4*d + 42 = 0. Suppose -j*n + 6 = -34. Solve s = -n*b + 2*b for b.
-3
Let a = -14753 + 15522. Solve -3*m - 760 = -a for m.
3
Suppose 21*x - n - 324 = 16*x, -312 = -5*x - 2*n. Solve 61*c = -x + 430
|
{
"pile_set_name": "DM Mathematics"
}
|
. What is the second biggest value in m, n, 4?
m
Suppose 65 - 19 = -2*y. Let l be 1 - 21/y - 2. Let g = 1 - 0. Which is the third biggest value? (a) g (b) l (c) 2
b
Let k = 0.7 + -0.2. Let t = -1 - -2.5. Let r = t - 2. Which is the second biggest value? (a) k (b) -5 (c) r
c
Let d = -0.3 + 0.4. Suppose q = -3*r - 12, 0 = 4*r - 2*q - 14 + 40. Which is the smallest value? (a) d (b) 1/2 (c) r
c
Let k = -0.23 - -0.37. Let u = 0.64 - k. Which is the smallest value? (a) 0 (b) -0.4 (c) u
b
Let o = -0.1 - -0.2. Let h = -1.6 - 4. Let m = h - -6. What is the biggest value in m, 4, o?
4
Let i = -710/7 - -101. What is the third smallest value in i, 3, 4?
4
Let s = -1 - -0.7. Let l = 0.8 + -0.4. Which is the third smallest value? (a) l (b) s (c) -1
a
Let n = -0.027 - -3.027. Which is the second smallest value? (a) -0.3 (b) -5 (c) -0.1 (d) n
a
Suppose -o = -5*r + 19, -r = 2*r - 3*o - 9. What is the fourth smallest value in 2, -5, r, -1?
r
Let m = -21 + 8. Which is the biggest value? (a) m (b) 2 (c) 5
c
Let w be (-3)/(-2) + (-6)/4. Let y be 3*(w + (-1)/(-12)). Which is the biggest value? (a) y (b) -3 (c) 0.5
c
Let m = -6.1 - -6. Which is the second smallest value? (a) -1 (b) m (c) 3/4
b
Let q = 21 + -13. Let y = q + -5. Which is the second smallest value? (a) y (b) -0.2 (c) -3
b
Let n = 29 + -15. Suppose 0 = -5*w - 3*z + 23, 2*z = -2*w + n - 4. Let p be (w/(-69))/((-4)/6). What is the second smallest value in 2, 2/21, p?
2/21
Suppose 2*w + 0 = 4. Which is the third smallest value? (a) w (b) 0 (c) 1
a
Let f = 3 + -3.3. Let c = -0.4 - -5.4. Suppose -5 = 8*l - 3*l. What is the second smallest value in c, l, f?
f
Let v = -7.1 + 7. Let r = -57/212 - -1/53. Which is the smallest value? (a) v (b) r (c) -2/3
c
Let i = 0.6 - -8.4. Let k = i + -9.5. Which is the smallest value? (a) k (b) -2/5 (c) 0.2
a
Let u = -377/4 - -95. Let t be -3 - (-10)/(-44)*-14. Which is the second biggest value? (a) t (b) 0 (c) u
a
Suppose 0 = 5*q - 4 - 1. Suppose -2*r - 6 = -2. What is the second smallest value in -1/2, r, q?
-1/2
Let g = -34225 + 170332/5. Let o(n) = 32*n + 2. Let r be o(-5). Let a = g - r. What is the third smallest value in a, -2/15, -3?
-2/15
Let n = -5.5 - -5.4. What is the third biggest value in n, 0.2, 2/43?
n
Let l(v) = v**2 + 3*v - 2. Let i be l(-3). Let r be (2/(4/(-519)))/(-6). Let x = r + -44. What is the second smallest value in i, x, 0.1?
x
Let a = 400/99 - 38/9. Let i = -0.17 - 0.03. What is the smallest value in a, 4, i?
i
Let n = -16 + 17. Let h = 0 + -1.4. Let u = n + h. Which is the third smallest value? (a) u (b) -5 (c) -1/3
c
Let t = 58 - 521/9. Let u = -1 - -1. Let r be -1 + u + 2/(-2). Which is the third biggest value? (a) t (b) 2/5 (c) r
c
Let v = 61 + -59. Which is the second smallest value? (a) -3 (b) v (c) -0.5 (d) -2/9
c
Let j = 0.11 + 4.89. Let x = j - 8. Which is the third smallest value? (a) 0.5 (b) x (c) -4
a
Suppose 2*r - 20 = -3*r + 4*m, -2*r = 3*m - 8. Let j = -0.05 - 0.95. Which is the smallest value? (a) j (b) r (c) 0.2
a
Let z = 0 + 1. Let q(o) = o - 5. Let r be q(7). Suppose 4*g - 2*f + 10 = 0, 0*f - f - 11 = r*g. Which is the third biggest value? (a) z (b) 0.3 (c) g
c
Let r be (-10)/4 + (-6)/12. Let o be -3 - 0 - 7/r. What is the second smallest value in 3, o, -1?
o
Let z = 0.3 + -0.7. Let k = -172 + 172.4. What is the biggest value in k, -0.2, z?
k
Suppose 0*i - 3*i + 3*w - 12 = 0, -w + 7 = -2*i. Let x = 2 + -2.1. Which is the third biggest value? (a) -4 (b) x (c) i
a
Let m = 0.2 + -0.1. Let i = 2003/76 + -105/4. What is the biggest value in m, i, 0.2?
0.2
Let y = 11 - 7. Let j = y + -4. Which is the third smallest value? (a) j (b) 1 (c) -3/4
b
Let x = -30 + 212/7. Let r be (-2)/4*7 - -1. Which is the third biggest value? (a) r (b) -5 (c) x
b
Let p = -2.94 + 3.2. Let n = p - -0.04. Let x = 0.1 - n. What is the second smallest value in 2/9, x, 3/5?
2/9
Let c = -6 - -4. Let h = c - -1.6. Suppose 0 = 5*q - 2 - 28. What is the smallest value in 0.4, q, h?
h
Let z be (-8)/(-3) + -2 + 1. Which is the smallest value? (a) 3/4 (b) -5 (c) -0.3 (d) z
b
Let z = 55111/4 + -13677. Let g = z + -102. Which is the second smallest value? (a) -2 (b) g (c) -1
b
Let u = 65.6 + -67.6. Let q = 0 - 0. Suppose 3*j + 0*j = q. Which is the third biggest value? (a) j (b) u (c) -3
c
Suppose 4*h + 4*x + 28 = 2*x, 0 = -h - x - 9. Which is the smallest value? (a) -2 (b) -4 (c) h
c
Let f be (100/28 - 2) + -1. Which is the smallest value? (a) -0.3 (b) -2 (c) f
b
Let n = 29 - 29.2. Which is the second biggest value? (a) n (b) 3 (c) -0.04
c
Let o = -8.4 + 8. Let w = 0.1 + -2.1. Which is the third biggest value? (a) w (b) -1 (c) o
a
Let t = 0.2 - -1.8. What is the second smallest value in t, 5, 1?
t
Let z = -11 - -6. What is the third smallest value in -0.5, z, -0.4?
-0.4
Let s = -1.2 - -1.6. Let v = 1.6 - -4.4. Let y = 5 - v. Which is the smallest value? (a) y (b) s (c) -5
c
Let v = 59.3 + -53. Let y = v - -0.7. Let c = y + -6.5. What is the second smallest value in c, -0.2, -0.4?
-0.2
Let p = 7 + -4. What is the third biggest value in -2, p, -5?
-5
Let h = 8.44 - -0.06. Let j = 9 - h. Which is the third smallest value? (a) j (b) -4 (c) -2/3
a
Let x = -43 - -127/3. What is the second biggest value in x, 4, -3/4?
x
Suppose -2*o + 15 = -5*o, 0 = 3*z + o - 76. What is the second biggest value in 1, -5/4, z?
1
Let m = -101 - -102. Which is the second biggest value? (a) m (b) 0.8 (c) 2 (d) 0.4
a
Let v be 4 + -2*(-23)/(-12). Which is the third biggest value? (a) v (b) 0.2 (c) 4
a
Let l = 1 - 1.9. Let o = l + 1.9. Suppose f - 2*f = 4. Which is the second smallest value? (a) o (b) 5 (c) f
a
Let h = 33 - 32. Which is the biggest value? (a) h (b) -1 (c) 2/15
a
Let c = 56 - 58.3. Let n = -2 - c. Let k be 0 + (-6)/10 + 1. What is the third biggest value in 2, k, n?
n
Let d(k) = -k**3 + 12*k**2 - 9*k - 17. Let x be d(11). Let m(q) = -q**3 + 3*q**2 - 2*q. Let g be m(2). What is the third biggest value in g, 0.4, x?
g
Let x(o) = -o**2 - 6*o + 5. Let v be x(-6). Let n = -1251/44 - -113/4. Which is the second biggest value? (a) -3 (b) n (c) v
b
Let p = -0.4 - -5. Let z = -0.1 + p. Let m = 4 - z. Which is the second smallest value? (a) m (b) -1 (c) -2/11
a
Let v be 0 - 0 - (-8)/(-28). What is the biggest value in 0.4, v, -2?
0.4
Let y = 2.5 + -2.61. Let o = -4.11 - y. Which is the smallest value? (a) 0.2 (b) o (c) -3/4
b
Let k = -61 - -57. Which is the biggest value? (a) -0.3 (b) 4 (c) k
b
Let t = -3 + 2. Let x = 0.01 - 2.01. Let w = x + t. Which is the biggest value? (a) -2 (b) 2 (c) w
b
Let t = 17 + -24. Let i = t + 7.3. Let h be -1*((-8)/(-2))/(-1). Which is the third biggest value? (a) 0 (b) h (c) i
a
Let a be (-10)/(-7) - 1/1. What is the smallest value in 0.2, a, 3?
0.2
Let l(t) = -4*t**3 + t**2 - t. Let f be l(1). Let h = -0.9 + -0.1. Let c = 10 + -12. What is the smallest value in c, h, f?
f
Let k = -2 + 2.5. Suppose -2*q + 70 = -5*w - 6*q, 5*w + 3*q + 65 = 0. Let b = 9 + w. What is the third smallest value in 3, k, b?
3
Let k = 0.09 + -4.09. Let d = 13/6 + -2/3. What is the smallest value in k, 0.5, d?
k
Let g = 107811/9205 + -285/263. Let z = -56/5 + g. Let s = -6 + 4. What is the third smallest value in z, 5, s?
5
Let o = 22.1 + -22. Let u(v) = -v**2 + 6*v - 4. Let r be u(5). Let k = r - 1. What is the second biggest value in -0.3, k, o?
k
Let w = -17 - -17.9. Let m = -1.2 + w. Which is the third smallest value? (a) 5 (b) -4 (c) m
a
Let k = 20.7 + -19. Let m = k - 0.7. Let y = -93/7 + 13. Which is the third smallest value? (a) m (b) y (c) 3
c
Let x = 16.4 + -14. Let p = -2 + x. Which is the second biggest value? (a) p (b) 0.5 (c) -2
a
Let n = -21.1 + 21. What is the third smallest value in n, -3, 5?
5
Let p = 0.09 - -0.01. Let f be ((-3)/6)/((-1)/(-10)). What is the third biggest value in f, p, 0.4?
f
Let x = -0.29 + -0.11. Which is the third smallest value? (a) x (b) 4 (c) 0.1
b
Let w = 6 - 11. Let n = 2 + w. Let y be 1*-1 - 4/(-10). What is the third smallest value in n, 2, y?
2
Let r = -7.589 + -0.111. Let g = -6 - 2. Let q = g - r. Which is the second biggest value? (a) 0.4 (b) -4 (c) q
c
Let d(f) = -f + 2. Let w be d(4). Let
|
{
"pile_set_name": "DM Mathematics"
}
|
4 and t.
12
Suppose 0 = 3*h - 6*h + 45. Suppose 0*r = 2*y - r - 5, y + 3*r = -h. Let i = 4 + y. Calculate the highest common factor of 4 and i.
4
Let h(g) = g**3 + g**2 - g - 2. Let o be h(0). Let v be o + -2 + 14 - 2. Let p be 8/1*(-1 + 9). What is the highest common divisor of v and p?
8
Let i = -1 - -31. Let t = -12 + i. Let g = -16 + 22. Calculate the highest common divisor of g and t.
6
Let b = 169 - 109. What is the greatest common divisor of 48 and b?
12
Let f be ((-45)/12)/(2/(-8)). Calculate the highest common divisor of f and 5.
5
Suppose 0 = -4*j - 405 - 751. Let c = -145 - j. Calculate the highest common factor of c and 18.
18
Suppose -p + 2*p = 0. Suppose p = 3*x - 2*v + 10, 6*v = -x + v + 25. Let b be 1 + 5 - (x - 0). What is the greatest common factor of 2 and b?
2
Let s be 17 - 0/(-1 - -2). Calculate the highest common factor of s and 34.
17
Let o be (508/28 - -2) + 4/(-28). Let m = 1 - 2. Let l be (2/(-4))/(m/16). Calculate the greatest common divisor of l and o.
4
Let g(d) = -d**2 - 3*d - 3. Let p be g(-3). Let h(o) = -10*o + 3. Let k be h(p). What is the greatest common factor of 11 and k?
11
Suppose -3*k = -2*k - 4. Suppose z = k + 2. Let n be 3 + -1 + 2 + -2. What is the greatest common factor of n and z?
2
Suppose 3*k = 3*g - g + 2633, 3*k - 2668 = -5*g. Suppose -2*c = -117 - k. Suppose 4*d + 147 = c. What is the greatest common divisor of d and 11?
11
Let a(l) = -5*l - 4. Let u be a(-3). Let k = 15 - u. Suppose -4*g + 31 + 9 = 0. What is the greatest common factor of g and k?
2
Suppose -s + 47 - 32 = 0. Calculate the highest common divisor of s and 5.
5
Suppose h - 20 = -3*p - 4, -5*h + 5*p = 0. Suppose -c - c = 8, 5*v - h*c = 106. Calculate the greatest common factor of 126 and v.
18
Let q(c) = 2*c**2 - c + 1. Let p be q(1). Let k be 2 + 1 + p + 2. Suppose -2*l + 5 = -k. Calculate the highest common divisor of 9 and l.
3
Let j(q) be the first derivative of q**4/4 - q**3/3 + q**2 + 1. Let y be j(3). What is the greatest common factor of y and 8?
8
Let g = -36 - -76. Let m = 74 - g. Calculate the highest common divisor of m and 340.
34
Let o(m) = 7*m**3 + 6*m**2 + 2*m - 4. Let w be o(-4). Let y be w/(-20) + 1/(-5). Let q = y + 36. Calculate the greatest common divisor of q and 6.
6
Let f = -30 + 64. What is the highest common divisor of f and 170?
34
Let m be 1/2 + (-195)/(-30). Let a(n) = n**2 + n + 5. Let l be a(-6). Calculate the highest common factor of l and m.
7
Suppose 0 = -462*a + 460*a + 16. Calculate the highest common divisor of 12 and a.
4
Let x be 5 - ((-3 - 0) + 0). Let w = x - 0. Let k = 4 + w. Calculate the greatest common divisor of 12 and k.
12
Let f be (-3)/(18/(-4))*18. Calculate the greatest common divisor of f and 8.
4
Let n be 0*4/12 - -11. Let t(d) = d + 9. Let j be t(n). Calculate the highest common factor of 4 and j.
4
Let a = -25 + 42. What is the greatest common factor of a and 153?
17
Suppose -3*x + 0*x + 72 = 5*q, -15 = 5*q. What is the greatest common factor of 116 and x?
29
Suppose -307 = -5*w + 8. Let i = w + -40. What is the greatest common factor of 23 and i?
23
Suppose 4*v - 377 - 503 = 0. What is the greatest common divisor of v and 20?
20
Let o(i) = -8*i - 16*i - 9*i + 3 - 6*i. Let d be o(-3). Calculate the highest common factor of 20 and d.
20
Let g = -20 + 27. What is the greatest common divisor of g and 1?
1
Let w be 0/3 - -1 - 89/(-1). What is the highest common divisor of 60 and w?
30
Suppose -k + 64 = -6. Calculate the highest common divisor of 20 and k.
10
Suppose 5*k = 242 + 308. Let z be (1/(5/2))/(6/150). What is the highest common factor of z and k?
10
Let x = -121 - -173. Let j be 2 + 12 + (-1 - 0). Calculate the greatest common factor of x and j.
13
Suppose m + 4*w - 19 = -0*m, -m + 2*w = 5. Suppose 40 + 29 = m*u. What is the greatest common divisor of u and 69?
23
Let y be -21*((-24)/(-9) - 2). Let x = y + 58. What is the greatest common factor of x and 22?
22
Let s = -4 + 5. Suppose 3*r + 4 = 4*x - 19, 0 = 4*x - 4*r - 24. Calculate the highest common divisor of s and x.
1
Suppose -2*t - 5*d = -0*d - 4, 3*t = 4*d + 6. Suppose -t*v - 14 = -34. Suppose 0*n = 2*n - v. Calculate the greatest common divisor of n and 5.
5
Let h = -5 + 7. Let w be 18/3*2/4. Calculate the highest common factor of w and h.
1
Suppose -10 = 2*z, 3*c + 2*z - 31 - 49 = 0. Suppose 5*b = -t + 220, 2*b - 105 = -2*t + 5*t. What is the highest common divisor of c and b?
15
Suppose -3*p + 6*p + 25 = 4*r, 2*p = 10. Let t = 12 - 6. Suppose -4*q - 5*o = 17, o + 1 - t = -5*q. Calculate the greatest common factor of q and r.
2
Let m be (-1)/(2*(-4)/(-248)). Let i = 52 + m. Calculate the highest common factor of 21 and i.
21
Let y = 87 - 49. Suppose 3*a = 2*q + y, 4*a + q + 8 - 44 = 0. What is the highest common factor of 80 and a?
10
Let v be 4/2*3/2. Suppose -3*w = 5*k - 87, -w + 7 = k - v*w. What is the greatest common factor of 120 and k?
15
Let a = 6 - -3. Suppose 4*g - 8 + 4 = 0. What is the highest common factor of g and a?
1
Let u(m) = 2*m**2 + 6*m. Let d be u(-4). Calculate the greatest common divisor of d and 32.
8
Let m be 605/9 + (-6)/27. Let f = m - 22. What is the greatest common divisor of f and 18?
9
Suppose -18 = 2*n + 4*q, q + 1 - 4 = 2*n. Let d(p) = -p**3 + 3*p - 4. Let x be d(n). What is the highest common factor of x and 154?
14
Let z be (2/(-6))/((-3)/45). Calculate the highest common factor of 25 and z.
5
Let m(t) = -11*t - 3. Let a be m(-5). Let n = -1 - -3. Let b be -1 + -14*(-2)/n. Calculate the greatest common divisor of b and a.
13
Let k(r) = r**3 - 8*r**2 + 8*r + 6. Let c be k(7). What is the highest common divisor of c and 26?
13
Let g be 0 - (-1)/(2/152). Let t be 2/(-5) + 76/(-10). Let q be (t/(-12))/((-4)/(-114)). What is the highest common factor of q and g?
19
Let x be (-1)/(-1 - 44/(-46)). Calculate the highest common factor of x and 207.
23
Let c be (8/(-10))/(1/(-5)). Let l be ((-16)/12)/(8/(-12)). Calculate the highest common factor of l and c.
2
Suppose -5*x = 24 + 1. Let d be (-3 - x)/(2/(-8)). Let t = 53 + d. What is the greatest common divisor of t and 5?
5
Let d(g) = -10*g - 23. Let f be d(-10). What is the highest common divisor of 11 and f?
11
Suppose 3*s + 0 - 33 = 0. Let q = 462 + -286. Let j be -1*(q/1)/(-2). What is the highest common factor of s and j?
11
Let r(p) = -p**3 + 4*p**2 + 6*p + 1. Let n be r(-4). Suppose -n = 2*f - 7*f. Let g be (f - 3)*(-2)/(-3). What is the highest common factor of 3 and g?
3
Suppose -3*v + 50 = -4*u, -4*v - 3*u + 22 = -3. Let o = 11 - v. Calculate the greatest common divisor of 1 and o.
1
Let j be 550/(-33)*12/10. Let r = j - -65. Calculate the greatest common divisor of r and 9.
9
Let g be 1/(4 + 5588/(-1396)). Let d = 533 + g. Calculate the greatest common divisor of d and 23.
23
Let k be (-18)/(-8)*(3 - -1). Let w = -344 + 407. Calculate the highest common factor of k and w.
9
Suppose -r + 5*d + 2 = 0, 5*r - 2*r - 40 = -2*d. What is the greatest common factor of r and 4?
4
Let r(k) = -k**2 - 3. Let z(v) = -v. Let f(a) = r(a) + 2*z(a). Let q be f(-5). Let s be (-2 - -1)/(2/q). What is the greatest common factor of s and 27?
9
Let h = 40 - 19. Calculate the highest common factor of 7 and h.
7
Let b be 1 + 27 + 0 + 2. Let u(g) be the third derivative of g**4/8 - g**3/6 + 2*g**2. Let y be u(2). What is the highest common factor of y and b?
5
Suppose 3*u - 5*u + k = -291, -429 = -3*u - k. What is the highest common divisor of u and 36?
36
Let q(n) = n**2 + 5*n + 2. Let g be q(-3). Let y be g*(3 + 11/(-2)). What is the highest common factor of 70 and y?
10
Let l be ((-12)/16)/((-2)/72). Let h be 2/3 + 387/l. What is the highest common divisor of 120 and h?
15
Suppose 2*t + 0*a - a - 24 = 0, 34 = 5*t + 4*a. Suppose -3*l = -2*x + 57, 93 = 6*x - 3*x + 3*l. Calculate the greatest common factor of t and x.
10
Let r = 3 + 9. Let m = r + 0. Calculate the highest common factor of 60 and m.
12
Let d(y) = -82*y - 2. Let u be d(-4). Let o = -218 + u. What is the highest common factor of o and 12?
12
Let s(n) = 2*n**2 + 5*n - 17. Let u be s(-6). What is the highest common factor of 5 and u?
5
Let y = 1886 + -1294. Let d be 2/4 + y/32. Calculate the greatest common divisor of d and 152.
19
Let c(n) = -3*n + 7. Let u be c(-6). Suppose -x + u =
|
{
"pile_set_name": "DM Mathematics"
}
|
4 - 5. Let b be m(12). Suppose -b*h + h + 4 = 0. Which is greater: h or 0.53?
h
Let s = -149 - -151. Suppose 3*a - s + 15 = -4*r, a - r = -16. Is 1 bigger than a?
True
Suppose 0 = 28*b + 9*b - 975 - 24. Which is greater: -2 or b?
b
Let k(c) = 8*c**3 + c**2 - c. Let q be k(-2). Let i = 117/2 + q. Which is smaller: 64 or i?
i
Let s = 439 - 2901/7. Is -0.13 equal to s?
False
Let i = -329.5 - -330.5. Is -425 < i?
True
Let s = -125096 - -8881971/71. Which is smaller: s or 2?
2
Let j(v) = 29*v + 17. Let a be j(-5). Let w = 84 + a. Is -43 at most as big as w?
False
Let t be ((-3)/5)/(3/(-15) - 0). Suppose -5*k + 20 = -5*g, 5*k + g = t*g + 17. Let l be 6/3 + 3 + 3 + k. Do 11 and l have the same value?
True
Suppose 4 = -2*l + 58. Let o = 31 - l. Let m be ((0/o)/1)/(-2). Does m = 0?
True
Let v(c) = c + 5. Let f be v(0). Suppose f*g - g + 36 = 0. Which is smaller: 0.8 or g?
g
Let z = 10035951 - 10027406.018. Let w = z + -8559. Let c = 0.018 + w. Which is smaller: c or 2/7?
c
Let s = 4 - 0. Let c = 376 + -374. Let f be 29/(-28) + (c - s)/8. Which is smaller: 0 or f?
f
Let z be 193/6360 + (-1)/(-5). Let o = 10/53 - z. Let u be (-166)/747 + (22/18 - 0). Do u and o have the same value?
False
Suppose n - 2*t - 67 = -0*t, t + 65 = n. Let d(m) = -m**2 + 21*m - 106. Let h be d(8). Is n < h?
False
Let k be 11280/(-22) + (-558)/2046. Is -3588/7 at least as big as k?
True
Let t(s) be the third derivative of -7*s**4/12 + 19*s**3/2 + 3*s**2 - 30. Let c be t(3). Let y be 14 + (-2 + 2)/(-1). Which is greater: c or y?
c
Let p = -270.1 - -24.7. Let k = p - -244. Which is greater: k or -1/3?
-1/3
Let h(w) = 3*w**2 - 22*w - 6. Suppose -33*m + 42 = -27*m. Let f be h(m). Are f and -11 equal?
False
Let f be (12/(-14))/((-2)/(-609)*(-39)/26). Which is smaller: f or 165?
165
Suppose 0 = 2*w - 3*n - n - 68, -2*w = -3*n - 70. Let j = w + -38. Suppose -2*q - 4*q + 48 = j. Is 7 greater than or equal to q?
False
Suppose -3*o - 6 = 6*n - 7*n, -4*n = -4*o. Let h be ((-1120)/(-2550))/7*o/2. Is h <= -1?
False
Let q(y) = y**3 - 4*y**2 - 6*y - 25. Let c be q(5). Is -43 greater than c?
False
Let d = -562.177 + 8.177. Are d and 13 equal?
False
Suppose 0 = -18*x + 16*x - 54. Let q be x/36 - (-31)/4. Let p be (-4)/(-14) - ((-278)/q + 2). Which is smaller: p or 36?
36
Let d = 0.042 + -0.342. Let r = -0.39 - 0.41. Let k = 15.2 - r. Which is bigger: k or d?
k
Let p = 20236 + -23029. Is p greater than -2793?
False
Suppose -4988 = 7*c - 11*c. Let m = c - 1858. Let j = m - -2429/4. Which is smaller: j or -5?
-5
Let f = -0.167 - 0.063. Let n = f + 0.13. Which is smaller: -146 or n?
-146
Let u be 10535/1918 - -5 - 8. Let x = u + 1/137. Which is smaller: 4 or x?
x
Let c = 10170 - 10316. Which is smaller: -149 or c?
-149
Let t(d) = d**2 - 11*d - 96. Let y be t(12). Let m = y - -298. Which is bigger: m or 215?
215
Let y = -2.61 - -1.44. Let z = y + -53.83. Let w = z - -56. Do w and -0.026 have the same value?
False
Let m = 1178304893/1116 - 1055829. Let q = m + -2/279. Suppose -2*b - l = -5*b + 3, -b = -l - 1. Which is greater: b or q?
b
Let z(q) be the first derivative of -q**2/2 + 9*q - 44. Let x be z(8). Which is smaller: -6/31 or x?
-6/31
Suppose -195*o = -208*o + 22932. Let p = -322817/183 + o. Are 0 and p nonequal?
True
Let k be (63/(-84))/((-97164)/32). Is -1 >= k?
False
Suppose 3*f - 47 = -4*w + 31, -2*f + w = -63. Let l(t) = t**2 + t - 1. Let u be l(2). Suppose 0 = u*y - 2*y + f. Do y and 5 have the same value?
False
Let y be 11/(165/10) + 14/(-21). Do -2/9305 and y have the same value?
False
Let i be 6/(-15) + (-183293)/(-570). Let j = 319 - i. Let d = 2.4 + -0.4. Do j and d have the same value?
False
Suppose -5*m - 85 = 50. Let u = -17 - m. Let i be (-1 - -8)*(0 - -1). Is u <= i?
False
Let t be 4 + (4775685/240084)/(-5). Let s = t + 3/988. Is s >= 0?
True
Suppose -4*b + 2 - 30 = 0. Let v = 4 + b. Suppose 26 = -2*g + 4*f, f = 45 - 44. Which is smaller: g or v?
g
Let a be (-1164)/97 + (-1 - (-96)/2). Do 971/28 and a have the same value?
False
Let c be (29378/1985)/(0/1 + -10). Which is smaller: c or -2?
-2
Let b(u) = 1135*u + 15. Let k be b(3). Let x be (-360)/k + (4007/3591 - 1). Which is smaller: x or -1?
-1
Suppose 2*q = 11 - 29. Suppose -21*a - 51*a = 71*a + 1287. Are a and q unequal?
False
Let o be (-110)/8 - 12/(-16). Let a = o - -12. Let s = -3417/28 - -489/4. Which is smaller: a or s?
a
Let x(p) = p**3 + 59*p**2 + 318*p + 1. Let s be x(-53). Which is smaller: s or 2/30329?
2/30329
Suppose 5*f = 187 + 63. Let w be f*3*5/(-30). Let y be -4 - (-1)/(w/(-90)). Is y at most as big as 1?
True
Let u be (-11)/(-33)*(-6)/(-2). Suppose 2 = -3*v + 2*f, v = -2*f + 9 + u. Let i be (1 - v) + -5 + 8/2. Is i less than or equal to -11/6?
True
Let m = 30.77 + -32.17. Is 2/25 equal to m?
False
Suppose -5*l = 5*l - 80. Let h(t) = 7*t**3 - 13*t**2 - 9*t + 1. Let y(m) = m**3 - m**2 - 1. Let w(a) = h(a) - 6*y(a). Let g be w(l). Is g less than 2/121?
True
Suppose -x + 2 = x, -3*x + 3 = -5*i. Let l = -27584 - -5489214/199. Are l and i equal?
False
Suppose -5*g + 9*g = -176. Let r = -44 - g. Suppose -14 = 3*w - 2*x, r*x = x - 4. Which is bigger: w or -1/2?
-1/2
Let d = -57 - -58. Suppose 0 = 4*q + q + 40. Let c be ((d/38)/(1/q))/(-1). Which is greater: -1 or c?
c
Let j = -4.393 - -209.543. Let z = j + -205. Let h = -0.1 - 0. Which is smaller: h or z?
h
Let j be (-23 - -2)*(-2)/3. Suppose -1442*c + 1396*c + 506 = 0. Which is smaller: c or j?
c
Let t = -10202/7 - -1452. Let b(l) = -l**3 - 4*l**2 + 9*l + 10. Let y be b(-5). Let q be 6/(y/4 - -1). Which is smaller: t or q?
t
Let k = 6 + -7. Let z = 5164 - 5164.01. Do k and z have different values?
True
Suppose 0 = -49*s + 50*s - 3. Suppose -s*w + 66 = 57. Is -3/14 >= w?
False
Let m(w) = 7*w**2 - 10*w + 9. Let j be m(1). Let s = -71 - -41. Let g be (-1)/(-2)*j - 255/s. Which is bigger: 12 or g?
12
Let t = -22123984/51 - -433834. Is 30 < t?
True
Suppose 124*z + 168 = 132*z. Suppose 4*h - 6 = -10. Which is bigger: z or h?
z
Let z = 15 - 13. Let n(a) = 13 - 6*a**z - 30*a**2 - 15*a - a**3 + 18*a**2. Let s be n(-17). Are s and -22 nonequal?
True
Let q be -2 - (2 - 0 - 5). Let h = 47201 - 708022/15. Which is greater: q or h?
q
Let p = 1290.846 - -1.154. Which is bigger: p or 2?
p
Let a = 759 + -761. Let m = 0 + a. Is 11 > m?
True
Let v = 479/960 - 49/192. Is 1 at least as big as v?
True
Suppose 0 = -4*q - 4*v + 248, 0*v + 191 = 3*q + 4*v. Let r = 56 - q. Are 1/5 and r equal?
False
Let x be 6/182*((-4)/(-13))/(88 - 58). Which is smaller: 0 or x?
0
Let p = 642/23 - 301328/10787. Is p equal to 1?
False
Let y = 1801 - 1458. Is y <= 0.1?
False
Suppose 0 = 131*k - 79809 - 224504. Which is greater: k or 2324?
2324
Let k(v) = 2*v**3 - 4*v**2 + 4*v - 3. Suppose 2 = r - 0. Let l be k(r). Suppose -l*t + 9*t = -4. Is -4/29 <= t?
False
Let s = -0.149 + 1.909. Let u = s - -21.24. Which is bigger: u or 0?
u
Suppose 2*w = t - 826, -10*w + 11*w = t - 829. Suppose 3*s = 5*n - t, s + 172 = n + 4. Which is bigger: 0.1 or n?
n
Let s = -2107.99 - -2107.9. Let z = -15.2 - -18. Let v = z + -3. Are v and s unequal?
True
Let p be 9435/1332 - 2/(-8). Let w = 6 - 3. Which is greater: p or w?
p
Let q = -16690 + 16694.14. Is 5/2 greater than or equal to q?
False
Let s = -38619 + 6449341/167. Which is bigger: s or 1?
1
Suppose 0 = -z + 4*x - 23, 32 = -3*z + 2*x + 3. Let t be (-8 - z)/((-1)/28). Which is greater: t or 55/2?
t
Suppose -3*n + 12 = -6*s + 4*s, 2*n = s + 8. Let w(x) = -x + 1. Let r be w(s). Is r != 8/15?
True
Let m(y) = -3*y**2 - 12*y - 6. Let v be m(-4). Does -1.28 = v?
False
Let a = -11991532/13 + 921867. Let k = 558 + a. Let i = k - -89/117. Is i at least as big as -2/25?
True
Let u = 2/152791 + -183429/2340605329. Is u less than 1?
True
Let o be 5*((-88)/10 + (36 - 27)). Is o at most as big as -18/199?
False
Suppose -11*t + 10*t = -5*o + 4, 0 = t - 4*o + 3. Which is smaller: t or -22/863?
-22/863
Suppose 0 = 40*w - 59*w + 5605. Suppose 5*b = s - 340, -4*s + 5*s + 4*b = w. Is s at least 317?
False
Let g(r) = 2*r**2 - 94*r - 207. Let u be g(49). Let c = -0.3 + 0.5. Let t = c + 1.8. Which is greater: u or t?
t
Let j = 5400 + -5320. Is j < -0.23?
False
Let x = 0 + -1. Let z(w) = w**2 + 16*w + 14. Let s be z(-15). Let f be s*5 - (-616)/140. Which is smaller: f or x?
x
Let o be -2*(954702/
|
{
"pile_set_name": "DM Mathematics"
}
|
ator of -1/31210630 and -50/143.
405738190
What is the lowest common multiple of 2113040 and 30?
6339120
Calculate the least common multiple of 1749594 and 14951076.
164461836
Find the common denominator of -101/1481272 and -63/520.
7406360
What is the least common multiple of 25132104 and 3164?
175924728
What is the common denominator of -11/680211 and -149/583038?
4081266
Find the common denominator of 64/1045317 and -54/175175.
287462175
What is the smallest common multiple of 2555046 and 98271?
2555046
What is the lowest common multiple of 34998453 and 54?
69996906
Calculate the common denominator of 27/454120 and 69/3632960.
3632960
What is the common denominator of -34/26573891 and 15/11?
292312801
Find the common denominator of -89/1828230 and -111/3047050.
9141150
Find the common denominator of -97/111622 and -161/21930.
71996190
What is the common denominator of 17/5381680 and 21/468744328?
4687443280
What is the common denominator of -7/468600 and -107/702900?
1405800
Find the common denominator of 83/526176 and 145/5832.
4735584
Calculate the least common multiple of 97086 and 35304.
388344
Find the common denominator of -73/61670 and -51/320045.
3947435030
Calculate the lowest common multiple of 139156 and 2724528.
51766032
Find the common denominator of 127/13958780 and -37/888286.
97711460
Find the common denominator of 121/47490 and -89/18996.
94980
Calculate the common denominator of -49/1851684 and -71/67090.
9258420
What is the lowest common multiple of 37343670 and 42?
37343670
What is the least common multiple of 6613952 and 136?
6613952
What is the lowest common multiple of 123 and 3168657?
129914937
What is the least common multiple of 3804135 and 27?
34237215
What is the common denominator of -99/439048 and 117/548810?
2195240
Calculate the smallest common multiple of 19521 and 478944.
1038829536
What is the lowest common multiple of 60732 and 6916700?
62250300
Calculate the lowest common multiple of 2460258 and 70452.
93489804
Find the common denominator of -163/8448 and 59/73111808.
219335424
Calculate the common denominator of 49/4381520 and 111/15454816.
850014880
Find the common denominator of 5/5283 and 4/2339.
12356937
What is the least common multiple of 2124 and 3015908?
1601447148
Calculate the smallest common multiple of 22 and 5309280626.
58402086886
Find the common denominator of -89/62544 and -193/273630.
2189040
Calculate the common denominator of -113/36885420 and 161/10059660.
110656260
What is the common denominator of -61/100 and 63/64788260?
323941300
What is the common denominator of 17/46278 and -95/169686?
509058
Calculate the common denominator of 31/175 and 169/2842560.
14212800
Calculate the least common multiple of 4298712 and 2550432.
533040288
Calculate the common denominator of -20/21 and -16/43315959.
303211713
Calculate the lowest common multiple of 36 and 24553647.
98214588
What is the smallest common multiple of 22 and 7844114?
86285254
Calculate the common denominator of -29/2721168 and 7/360.
13605840
Calculate the smallest common multiple of 926976 and 219.
67669248
What is the lowest common multiple of 35547 and 5924500?
17773500
Find the common denominator of -151/559930 and -25/1406.
20717410
Calculate the smallest common multiple of 106850 and 1350.
2884950
Calculate the common denominator of -19/3048714 and -163/106704990.
106704990
What is the least common multiple of 15257 and 464645?
5111095
Find the common denominator of -86/66285 and -3/818497.
110497095
Calculate the lowest common multiple of 1852850 and 6.
5558550
What is the least common multiple of 74327134 and 2150946?
668944206
Find the common denominator of 83/478040 and -99/238340.
335106040
Find the common denominator of 17/79750 and 35/24.
957000
What is the smallest common multiple of 190 and 474150?
9008850
Calculate the common denominator of 121/20710 and 17/135318.
73748310
What is the least common multiple of 67300 and 18500?
12450500
Calculate the smallest common multiple of 5922336 and 15.
29611680
What is the lowest common multiple of 259424410 and 14?
259424410
Calculate the least common multiple of 192443282 and 22.
2116876102
Calculate the common denominator of -37/792 and 19/170126880.
510380640
Calculate the smallest common multiple of 10863 and 210657.
10743507
What is the common denominator of -65/2105314 and 65/19554?
6315942
What is the lowest common multiple of 1181071 and 1?
1181071
What is the common denominator of -101/36 and 79/2486916?
2486916
What is the common denominator of 35/7654 and 47/12469078?
536170354
Calculate the least common multiple of 503220 and 2851580.
8554740
Calculate the common denominator of 83/1596 and 67/8277996.
57945972
What is the common denominator of -70/354939 and -31/206115?
1875852615
What is the common denominator of 9/5449 and 83/46875?
255421875
Calculate the least common multiple of 48790730 and 14637219.
146372190
Calculate the least common multiple of 6141784 and 426.
18425352
Find the common denominator of -55/3 and -157/5936742.
5936742
What is the least common multiple of 16 and 213987602?
1711900816
Find the common denominator of -1/13841430 and 81/247300216.
3709503240
Calculate the lowest common multiple of 37785090 and 1173450.
188925450
What is the common denominator of -53/28341 and 85/95006?
40187538
Find the common denominator of 21/12512 and -37/1845520.
3691040
Find the common denominator of -103/686 and -15/2186576.
15306032
Calculate the least common multiple of 6588234 and 18.
6588234
What is the lowest common multiple of 23034660 and 24?
46069320
What is the smallest common multiple of 756768 and 32?
756768
What is the lowest common multiple of 1073932 and 22?
11813252
What is the common denominator of 33/1036 and 19/732119?
20499332
What is the common denominator of 107/380625 and -11/97125?
14083125
What is the common denominator of -85/4050024 and -97/176088?
4050024
What is the least common multiple of 4365 and 304620?
88644420
Calculate the lowest common multiple of 32633489 and 1461201.
97900467
Calculate the common denominator of 31/156294 and -107/162.
1406646
Calculate the least common multiple of 426996 and 10440.
4269960
What is the smallest common multiple of 172294848 and 288?
172294848
Calculate the common denominator of 113/169576 and -125/236598.
426822792
Find the common denominator of -25/77 and -41/2290071.
25190781
What is the least common multiple of 6298 and 10316124?
10316124
Calculate the common denominator of -91/15 and 113/6860430.
6860430
What is the lowest common multiple of 406175 and 178717?
4467925
Calculate the common denominator of -6/35 and -20/1985879.
9929395
Calculate the common denominator of 12/119 and -31/4389.
74613
What is the common denominator of 19/639251 and 11/225618?
3835506
What is the lowest common multiple of 39 and 26189205?
340459665
Calculate the common denominator of -71/2965584 and 77/88815.
2832132720
Calculate the lowest common multiple of 14323830 and 14323830.
14323830
What is the least common multiple of 334480 and 6080?
25420480
What is the least common multiple of 11669546 and 2114?
1762101446
What is the smallest common multiple of 1577 and 42280532?
803330108
Calculate the least common multiple of 5661162 and 417.
786901518
What is the common denominator of -107/672370 and 52/2891191?
28911910
Calculate the common denominator of 181/3090 and 31/84588.
43562820
What is the lowest common multiple of 5418 and 362565?
31180590
Find the common denominator of -17/1188738 and -70/111.
43983306
Calculate the smallest common multiple of 17720296 and 221845.
1151819240
What is the smallest common multiple of 3447860 and 4?
3447860
What is the common denominator of -29/1475712 and 19/1377?
75261312
What is the common denominator of 59/2 and 39/775308730?
775308730
What is the common denominator of -93/5264 and 85/222567184?
222567184
What is the smallest common multiple of 191016 and 201249?
11269944
Calculate the lowest common multiple of 246680 and 274872.
9620520
Calculate the least common multiple of 1720944 and 30192.
1720944
What is the lowest common multiple of 17304 and 4972632?
512181096
Calculate the smallest common multiple of 81 and 238644.
2147796
What is the smallest
|
{
"pile_set_name": "DM Mathematics"
}
|
or 0?
0
Which is smaller: 34873 or 244105/7?
244105/7
Is -1869/125 less than -14?
True
Is 1643 >= 974?
True
Which is bigger: 69528 or 69527?
69528
Is 215 > 251?
False
Which is smaller: -566888 or -566890?
-566890
Which is smaller: 2/11 or 221878?
2/11
Is 1 >= -35/4052?
True
Which is smaller: -46189 or -46188?
-46189
Which is greater: -1/9 or -44711?
-1/9
Is -279726 > -279748?
True
Is 8 <= -13320?
False
Is 1070/491 less than 2?
False
Are -1487/45 and -32 unequal?
True
Which is smaller: 69 or 7627/111?
7627/111
Is 3043.9 equal to 4/5?
False
Is 6515 smaller than 71656/11?
False
Is 2430 at most 2429?
False
Is 1 at least 1/15769?
True
Which is smaller: -189 or -110?
-189
Is 1075589 smaller than 1075590?
True
Which is greater: -6923 or -7001?
-6923
Is 1033 smaller than 10331/10?
True
Which is smaller: -455589 or -455587?
-455589
Is -46/3047 at most 0?
True
Is 31607 not equal to 31607?
False
Which is smaller: -826/83 or 2?
-826/83
Which is greater: 58247 or 58306?
58306
Which is greater: 1106/115 or 9?
1106/115
Is -41658/41 greater than or equal to -1015?
False
Which is smaller: 37 or 4454?
37
Which is bigger: -8.2 or -3/77?
-3/77
Is 47080 greater than 141242/3?
False
Is 3337/136 greater than 24?
True
Which is smaller: -1118298 or -0.5?
-1118298
Is 75/299 equal to 0?
False
Which is smaller: 2 or 333/194?
333/194
Is -3135 greater than or equal to -3394?
True
Is -9/133 at most as big as 60?
True
Which is smaller: -171571/3 or -57191?
-57191
Which is smaller: -1689 or -5071/3?
-5071/3
Is -919712 at most -919712?
True
Is 0 at most -30/31123?
False
Which is smaller: 36715 or -3?
-3
Is -9065 greater than -99723/11?
True
Are -1 and 16/405 non-equal?
True
Are -0.2 and -89652 equal?
False
Do 6529/4 and 1631 have different values?
True
Which is smaller: -1/4 or -10.34?
-10.34
Are -27 and 473 nonequal?
True
Which is bigger: 922944 or 2/7?
922944
Are -10755 and -21509/2 equal?
False
Which is greater: 158/41577 or 1?
1
Do 4313 and 142298/33 have the same value?
False
Is 319871 equal to 319871?
True
Is -4/81 greater than -1/39?
False
Which is greater: 462675 or 462676?
462676
Which is smaller: 70 or 24475/346?
70
Which is bigger: -2/425139 or -1?
-2/425139
Is -1 less than 23/74017?
True
Which is greater: 161592 or 161593?
161593
Which is smaller: 53849 or 53850?
53849
Which is smaller: 2/57173 or 1?
2/57173
Which is bigger: 34/5 or 3.6?
34/5
Which is greater: -40 or -757?
-40
Is -1735 bigger than -13?
False
Which is smaller: 2644/2039 or 0?
0
Which is bigger: 12 or 14175?
14175
Which is smaller: -1 or -4/71411?
-1
Which is bigger: 0 or 21/70607?
21/70607
Is 2357 > 261?
True
Is -5/67871 greater than 1?
False
Does -615/47 = -13?
False
Which is smaller: -111 or -190?
-190
Is -5421/10 smaller than -1/2?
True
Which is smaller: 9/54844 or 0?
0
Are 0.04 and 158341 equal?
False
Is 49884 greater than 49885?
False
Which is bigger: -156 or 4/33?
4/33
Which is smaller: 0.3 or 780696?
0.3
Which is smaller: -17/36 or 0.049?
-17/36
Is -49599 greater than or equal to -49598?
False
Is -2/915 at least as big as 13/10?
False
Which is smaller: -7219 or -7209?
-7219
Which is greater: 101805 or 101803?
101805
Is 9.9 > 2320?
False
Is -339.05 >= 81?
False
Which is bigger: 76/1193 or -1?
76/1193
Which is smaller: 18756/179 or 105?
18756/179
Which is smaller: 55452/37 or 1499?
55452/37
Which is bigger: -67619 or -743793/11?
-743793/11
Which is bigger: -51721/6 or -8619?
-8619
Is -18 greater than or equal to -3891?
True
Is 2394.5 less than -0.1?
False
Is -0.07 less than 2539?
True
Which is smaller: -0.2 or -11497/5?
-11497/5
Is -2258 greater than -2197?
False
Which is smaller: 154812 or 154813?
154812
Which is bigger: 16/29 or -674?
16/29
Is -213740 <= -213740?
True
Which is smaller: -400633 or -2?
-400633
Is 393 not equal to 388?
True
Is 1 < 54/5123?
False
Is -2233 not equal to -2233?
False
Is 7028 > 7026?
True
Is 66844 equal to 66844?
True
Which is smaller: 5107.3 or -0.7?
-0.7
Is -14085 greater than -14078?
False
Is 8132/241 <= 34?
True
Which is smaller: 90018 or -3/7?
-3/7
Which is greater: -2/7 or -29598?
-2/7
Is 51/68384 > 1?
False
Which is smaller: 68 or 1135?
68
Is -21 at least -32/1211?
False
Is -53111 at most as big as -53114?
False
Which is smaller: 35599 or 35598?
35598
Which is bigger: -12786 or -12466?
-12466
Which is smaller: -2/5 or 0.0220772?
-2/5
Which is smaller: -660684 or -0.2?
-660684
Which is bigger: -9334 or -9335?
-9334
Do -308831 and -308833 have the same value?
False
Which is greater: 3293 or 3301?
3301
Which is bigger: 0 or 39/1093?
39/1093
Is 5.564 greater than or equal to 0.43?
True
Do 1134 and -13/3 have the same value?
False
Which is bigger: 3 or 453163?
453163
Do 11/3 and -658 have the same value?
False
Is -57932/43 less than -1348?
False
Is -313321 smaller than 1?
True
Is -2/563485 greater than -1?
True
Which is greater: -31902 or -31901?
-31901
Are 344/165 and -22 unequal?
True
Are 0.58 and 7070 nonequal?
True
Which is smaller: -71553 or -71552?
-71553
Which is smaller: -869 or -968?
-968
Are 21793/15 and 1453 non-equal?
True
Is 55130 at most as big as 55123?
False
Which is bigger: -2350 or -2030?
-2030
Which is smaller: -0.049 or 5/114?
-0.049
Which is greater: -1 or 34.53804?
34.53804
Are 134147 and 134135 nonequal?
True
Which is bigger: 94 or 228?
228
Are -57892 and -57887 non-equal?
True
Which is smaller: 1461 or -957?
-957
Does -8846 = 187?
False
Is -7 at most as big as -1/84429?
True
Which is smaller: -5/1461487 or -1?
-1
Which is bigger: 8 or 151250?
151250
Which is smaller: 0.3195 or 270?
0.3195
Which is bigger: 6504 or 6669?
6669
Is 104 at least 325?
False
Which is smaller: 2003 or 22040/11?
2003
Is -1 not equal to 5/209299?
True
Which is bigger: 13 or 325/24?
325/24
Which is greater: 1 or 6/355175?
1
Is -5023.8 < 5?
True
Is -142 < -6551/46?
False
Which is bigger: 1 or 1/160856?
1
Is 1/4 equal to 18808/23?
False
Is -1 equal to -2/17885231?
False
Which is greater: 39620 or 39623?
39623
Which is smaller: 231/160 or 0?
0
Does 2/91235 = -1?
False
Is 0.4 less than or equal to 445358?
True
Which is greater: -311714/47 or -6633?
-311714/47
Is 2/5 bigger than -814.146?
True
Does -3220 = -582?
False
Which is bigger: 0 or 11/1236318?
11/1236318
Is -64942 less than or equal to -9/7?
True
Is -6/41359 at most 1?
True
Which is smaller: -646/89 or -8?
-8
Which is smaller: -37854 or -37857?
-37857
Is -31 > 23722?
False
Does 1401/194 = 6?
False
Which is bigger: 147529 or 147519?
147529
Is -94755 != -94754?
True
Which is bigger: 139 or -5.56?
139
Are -233 and -0.126 equal?
False
Is 672 equal to -6/11?
False
Which is smaller: 4659 or 4657?
4657
Do -7/7971 and 0 have different values?
True
Which is smaller: 565235 or 565234?
565234
Is -66/29 smaller than -4?
False
Do 4 and 100.8 have the same value?
False
Is -3885 smaller than -3537?
True
Which is smaller: 2670305 or 2670304?
2670304
Which is bigger: -9489 or -2?
-2
Which is greater: 995 or -7.3?
995
Is 0 bigger than -4/11649?
True
Which is bigger: 1/69387 or 0?
1/69387
Which is smaller: -44/70401 or 1?
-44/70401
Which is smaller: 1 or -28/885?
-28/885
Which is smaller: 3/24205 or 1?
3/24205
Which is smaller: 187 or -186?
-186
Is -1 less than or equal to 14/106033?
True
Which is bigger: 31/5303 or 0.4?
0.4
Does 1375 = 0?
False
Is 2749 at most 2743?
False
Which is smaller: -1378/231 or -7?
-7
Is -139822 smaller than -139822?
False
Which is greater: -157575 or 2/13?
2/13
Is -220228 < -0.8?
True
Which is bigger: 8 or 102844?
102844
Which is smaller: -817 or -957?
-957
Is -8236/33 bigger than -251?
True
Is -330307 < -330307?
False
Which is bigger: -21/1052 or 1?
1
Is 5.975 >= -230?
True
Which is smaller: 1 or -425331?
-425331
Which is smaller: -4990 or -1560?
-4990
Which is smaller: 1 or 0.0483652?
0.0483652
Is 2/869381 greater than 1?
False
Is -1/2454 at most -3/76?
False
Is 7454 less than 7452?
False
Which is bigger: 60310 or 60313?
60313
Which is smaller: 1 or -350/1439?
-350/1439
Which is smaller: -95860 or -95871?
-95871
Which is bigger: 3975 or 4037?
4037
Which is greater: 1 or -0.108928?
1
Are 737 and 851 nonequal?
True
Is 47593 > -1.3?
True
Does 18180/169 = 108?
False
Is -14.7163 greater than -0.2?
False
Is -89886.58 not equal to 0?
True
Which is greater: -647/5786 or 1?
1
Which is greater: 23973 or 215756/9
|
{
"pile_set_name": "DM Mathematics"
}
|
= -9*v for a.
2
Solve m + f - 12 = -3*f, -2*m + 2*f + 4 = 0 for m.
4
Solve 0*y - 8 = -2*k + 4*y, -4*k = -5*y - 16 for k.
4
Solve -2*z + 5*d = -z - 27, 4 = -3*z - 2*d for z.
2
Solve w = -4*v + 3 + 4, -v - 12 = 3*w for w.
-5
Solve q - p + 6 = 0, -2*p - 12 = 5*q - p for q.
-3
Solve -i + 3*y = -1, 5*i - 51*y + 50*y + 23 = 0 for i.
-5
Solve -40 = -5*u - 4*y, -9*y + 8 = -3*u - 5*y for u.
4
Solve 8 = -h + 3*h - 4*p, -h = 3*p + 16 for h.
-4
Solve 6 = -11*q + 14*q, 2*i - 5*q = -16 for i.
-3
Solve 4*a = -5*u - 41, 4*a + 2*u + u + 31 = 0 for a.
-4
Solve 5*h - 2*h + 4*j = 20, h - 15 = -3*j for h.
0
Solve -10*q + 12*q + v = 2, 0 = v - 2 for q.
0
Solve 9 = -3*g, 3*z = 5*g + 1 + 20 for z.
2
Solve -i - 5*k + 10*k = 20, i + 11 = 2*k for i.
-5
Solve 5*u + 4*j + 65 = 0, 0 = -8*u + 11*u + j + 32 for u.
-9
Solve -5*p + 13 = x, -4*x - 36 + 42 = -3*p for x.
3
Solve -i = i + 5*u - 13, 4*u - 7 = -5*i for i.
-1
Solve -3*r = 2*r - 3*b - 15, -15 = -r + 3*b for r.
0
Solve -q - 22 = 5*c, -8*c + 5*c = q + 12 for c.
-5
Solve 5*z - h + 4 = 0, -15*h + 11*h = 4 for z.
-1
Solve 57*i = 2*t + 56*i, 2*i = t + 6 for t.
2
Solve -f + 27*d = 30*d - 1, -2*f - 2*d = 6 for f.
-5
Solve 3*j - 5*z - 26 = 0, -77 = 3*j + 5*z - 63 for j.
2
Solve 7*h - 6*h + 3*t - 5 = 0, t + 7 = 4*h for h.
2
Solve 5*m - 20 = 4*l, -4*m - 11*l + 5 = -12*l for m.
0
Solve 3*y = -t + 2, 4*t + 245 - 268 = 3*y for t.
5
Solve 3*a + v = 6*v + 4, 0 = -5*a - 3*v - 16 for a.
-2
Solve 2*r + 3*p = r - 12, 3*p = -12 for r.
0
Solve -18 = 12*t - 9*t, 5*t = -3*f - 18 for f.
4
Solve 3*o + 21*p = 20*p - 10, 3*p + 8 = 2*o for o.
-2
Solve 0 = -b - 4, 0*c - 5*c - 2*b = -17 for c.
5
Solve -4 = 4*u - 3*q, 4*u + 4*q + 32 = 56 for u.
2
Solve 6*r - r = 3*p - 1, -3*r - 5 = -4*p for p.
2
Solve j - 4 = x + 6, 0 = 4*j - 2*x - 30 for j.
5
Solve 7*k = -5*h + 9*k - 17, 5*h + 4*k = -41 for h.
-5
Solve -z + 23 = -5*r, 0 = 4*r + 1 + 19 for z.
-2
Solve 5*u - 10*u + 15 = -5*l, 0 = -5*u - 2*l + 15 for u.
3
Solve 5 = 25*t - 20*t, -4*c - 2*t = 18 for c.
-5
Solve 5*s + 3 = -15*b + 11*b, 3 = -3*b - 3*s for b.
-2
Solve 0 = 3*k - 3*j - j - 14, -3*k = -3*j - 9 for k.
-2
Solve 3*i = 4*d - 14, d = 5*i - 6*i + 7 for d.
5
Solve -2*z + 2*h = 4, -3*z + 96*h - 92*h - 5 = 0 for z.
-3
Solve 94*s = -5*h + 98*s - 2, 0 = -h - 4*s + 14 for h.
2
Solve 2*v - 18 = 3*z + 2*z, -2*v + 4 = 2*z for v.
4
Solve -3*s = 4*q - 19, 4*s - q = 3*q - 12 for s.
1
Solve 5*d = -25, -p + 2*d + 4 + 9 = 0 for p.
3
Solve -4*k - 6 + 31 = -n, -3*k + 20 = -n for k.
5
Solve i = -i + 2*a, -i - 2*a = -12 for i.
4
Solve 5*n + v = 375 - 360, 4*v - 26 = -3*n for n.
2
Solve -2 = p - d, -5*d = 337*p - 339*p - 4 for p.
-2
Solve 0 = j - 5*m + 32, -9*j - 2*m = -7*j + 4 for j.
-7
Solve 2*m + 1 = d, 3 - 7 = -3*m - 4*d for m.
0
Solve -5 = -r + 5*g + 8, -3*r + g = 3 for r.
-2
Solve 0 = 2*m - 6, 3*y + m = 4*m - 21 for y.
-4
Solve 3*f + 2*b + 15 = 0, 0 = 5*f + 3*b + 38 - 14 for f.
-3
Solve k + 15 = 3*n, -3*k - 45*n = -46*n + 5 for k.
0
Solve -v + 2*t - 2 = 0, t = 2*v - 6*v + 1 for v.
0
Solve 0*g - 4*g - s - 7 = 0, -6 = 2*s for g.
-1
Solve -4*p - 35*i + 38*i = -11, -3*i - 15 = 0 for p.
-1
Solve 0 = 5*s - 0*n + n - 7, -n = -3*s + 9 for s.
2
Solve 3*p - 3*i = 0, -4*p - 5*i + 0*i - 9 = 0 for p.
-1
Solve 2*g - 12 = 4*c, -4*c + 0 = g + 6 for g.
2
Solve 5*u + 25 = 4*i, u + 3*u - 3*i + 19 = 0 for u.
-1
Solve 71*h = 75*h + 4*x + 4, 5*x - 20 = 0 for h.
-5
Solve -2*f - 5*a + 0*a + 28 = 0, 2*f + 4 = 3*a for f.
4
Solve 5*n = -3*s + 18, -4*n - 4*s = -2*s - 14 for n.
3
Solve 5*f = g, 5*g = f - 27 + 3 for f.
-1
Solve -m + 10 = 2*n, -2*m - 7 = 2*n - 21 for n.
3
Solve -2*g = 4*s, -2*g - 4*s + 3*s = -6 for g.
4
Solve -u + 3 = -2*u - t, -4*t = 4 for u.
-2
Solve 2*j = 3*c - 3, j - 31*c = -34*c + 12 for j.
3
Solve -6 = o + 3*c, -4*o - 65 = -3*c - 56 for o.
-3
Solve 4*v - 3 = -3*a, 20 = a - 5*v - 0*v for a.
5
Solve 5*f - 23 + 3 = -5*q, 6 = 4*q + 2*f for q.
-1
Solve -d = -5*t - 7 - 0, -2*t = -2*d + 6 for t.
-1
Solve -4*v = 4*a - 4, v - 3*v + 2*a - 2 = 0 for v.
0
Solve 3*w - 32*k + 37*k - 35 = 0, 3*w = -4*k + 31 for w.
5
Solve 0 = 5*n - 5*u + 76 - 51, 2*u = -4*n - 2 for n.
-2
Solve -4*s = -2*t - 24, 3*t + 2*t = -5*s + 15 for t.
-2
Solve 0*c - c + 2*s - 7 = 0, -3*c + 34 = 5*s for c.
3
Solve 2*a + 17 = -5*q, 4*a + 1 = -q + 3*a for q.
-5
Solve u + b + 11 = 3*u, 4*u = -b + 19 for u.
5
Solve 0*i - 11 = -2*w - 5*i, -2*i + 5 = w for w.
3
Solve 5*s + 25 = 0, 5*u + 26 = 4*u - 5*s for u.
-1
Solve -s + 16 = 5*k, -18 - 14 = 5*s - 3*k for s.
-4
Solve 2*p - 22 = 5*j + 6*p, 2*j - 2*p - 2 = 0 for j.
-2
Solve -22*n + 20*n + 22 = -5*c, 1 = n for c.
-4
Solve 3*z + 15 = -4*s, -2*s + 5*s + 13 = -4*z for z.
-1
Solve -5*x + 2*t = 1 + 13, -x - 19 = 5*t for x.
-4
Solve -n - 21 = -3*i, -9 = 3*i + n + 3*n for i.
5
Solve 2*j + 4*c + 0*c = -2, 3*j + 2*c - 1 = 0 for j.
1
Solve 4*h + 3*z = 40, -h + 3*z = 1 + 4 for h.
7
Solve u + 4*z - 1 = 0, -5*u - z + 146 = 122 for u.
5
Solve 3*w + 284 = 5*v + 259, -2*v + 10 = -5*w for w.
0
Solve -5*d + 25 = -5*j, 109*j = 2*d + 105*j - 18 for d.
1
Solve x = -4*x - g + 22, -g - 14 = -4*x for x.
4
Solve 2*f + 4 = a, -7*a = 5*f - 11*a + 19 for f.
1
Solve 2*g = 3*d - 7, 5*g + 10 = 3*g + 4*d for g.
1
Solve 12*z - 4*p = -8*p - 8, 2*z + 8 = -2*p for z.
1
Solve 2*w - 6 = -4*n, -2*w + 10 - 2 = 2*n for n.
-1
Solve s + 4 = -n + 2*n, 0 = 5*n - s - 12 for n.
2
Solve 0 = -h + 5*g - 19, 0*h + 3*h + 5*g = 23 for h.
1
Solve 3*y - 11 = -0*y + 2*q, 4*q = 8 for y.
5
Solve -3*g - 21 = -3*s, 5*g + 13 + 17 = 4*s for g.
-2
Solve h - 2 - 1 = 2*a, 3*a - 18 = -3*h for a.
1
Solve 3*t = 5*n + 5, 4*t + 3 = 8*n - 11*n for t.
0
Solve w = -4*j - 7, j - 2*w - 37 = -50 for j.
-3
Solve b - 5*j - 27 = -b, -2*j - 10 = 0 for b.
1
Solve i = 5*q - 3, 1 - 14 = -5*q - 4*i for q.
1
Solve 11*g = 7*g + 5*k + 6, -20 = -2*g - 6*k for g.
4
Solve 3*c + 4 + 0 = 2*j, 5*j - 10 = 5*c for j.
2
Solve 3*k = -3*i, -14 = -3*k - 134*i + 138*i for k.
2
Solve -4*s = k - 24, s - 8*k = -9*k + 9 for s.
5
Solve -2*m - 3*c - 21 = m, 3*c = m - 1 for m.
-5
Solve 3*t = r - 16, 2*t + t - 4*r + 19 = 0 for t.
-5
Solve 0 = m + 5*f - 12, 4 = -3*m - f - 2 for m.
-3
Solve 0 = -3*x + p + 6, 22 = x + 118*p - 115*p for x.
4
Solve 2*x - 4*x + 2*y - 2 = 0, -2*x + 4*y - 10 = 0 for x.
3
Solve -4 = 2*o + 6*l - 7*l, -3*o - 2*l - 13 = 0 for o.
-3
Solve -18 - 11 = 5*j + m, 4 = -m for j.
-5
Solve 0 = -4*h - 8, 121*h = 3*x + 124*h for x.
2
Solve -4*u = -t - 19, -17*t = 2*u - 22*t - 5 for u.
5
Solve 3*j = -4*m + 12, 3*j - 10 - 2 = -3*m for j.
4
Solve -4*f - b = -13, 0 = 25*f - 23*f + 3*b + 1 for f.
4
Solve 3*z - 5 - 14 = 4*m, -5*z = m - 24 for m.
-1
Solve 0 = 5*l - 3*w - 15, 4*l = -2*w - 10 for l.
0
Solve 10 = 2*d - 2*o, -2*d + 1 = -5*o + 6*o for d.
2
Solve 9*f = 10*f + 3*z - 16, 3*z = 5*f - 8 for f.
4
Solve -4*l = 2*k + 18, -3*l = 5*k - 5*l - 3 for k.
-1
Solve -2*w - 4*t - 8 = 10, -2*w - 5*t - 22 = 0 for w.
-1
Solve 2*n - 3 = -3*i - 22, 5*n - i = -5 for n.
-2
Solve 5 = -3*j - 2*f, -2*j + f - 10 = -2 for j.
-3
Solve 3*z + 5 = 4*p - 24, 5*p - 25 = 0 for z.
-3
Solve 11*k - 12 = -4*q + 7*k, -3*q = k - 7 for q.
2
Solve v + 7 = -2*z, 0 = 6*v - v + 5*z + 20 for v.
-1
Solve -3*d = -9, 2*y = 3*d - 0*d - 17 for y.
-4
Solve -5*a - 12 = -4*y, -35*a + 39*a - y + 14 = 0 for a.
-4
Solve 5*w = -5*y + 25, 5*y + 4*w = 2*w + 16 for y.
2
Solve -6 = -3*d - 15, -5*j = -2*d - 16 for j.
2
Solve 0 = -7*l + 5*l + 3*y + 10, 3*l + 11 = -2*y for l.
-1
Solve 4*z + 12 = 0, 13 = -2*w - 2*z + 1 for w.
-3
Solve -33*f - 2*r - 8 = -29*f, 3*f - 5*r = 33 for f.
1
Solve -4*i + 44 = -4*d + 36, 0 = 3*i - 5*d - 6 for i.
2
Solve -7 = -4*x - v - 0, 4*x - 22 = 2*v for x.
3
Solve -2*l = o - 8, -10*l = 2*o + 14 - 54 for o.
0
Solve -4*n - 17 = u, 239*n - 14 = u + 242*n for u.
-5
Solve -3*u + 3 = 2*k, -4*k + 4*u - 2 = 2 for k.
0
Solve -a = -3*h, -3*h - 12 = 4*a - 27 for a.
3
Solve -5*i = f - 30, 0 = -3*f - 2*i + 6*i - 5 for f.
5
Solve 0 = 2*w + 24*f - 25*f - 9, -16 = -3*w + 2*f for w.
2
Solve -4 = -2*n - 2*g, -3*n + 4*g - 1 = -0*g for n.
1
Solve 3*m + 15 = d - 5*d, -20 = 4*m + 5*d for m.
-5
Solve 3*d + 2*p - p = 8, -15 = 5*d - 4*p for d.
1
Solve 2*z + 2*z - 4*y + 24 = 0, -3*z = 6*y + 9 for z.
-5
Solve -4*t = -0*z - 3*z - 3, 5*z - 2*t + 19 = 0 for z.
-5
Solve -2*t + 9 = -u, -69*u - 3*t = -73*u - 16 for u.
-1
Solve -4*s + 3*w - 29 = 0, -4*s - 35 = -w - 12 for s.
-5
So
|
{
"pile_set_name": "DM Mathematics"
}
|
Solve -t*f - 76 = -66 for f.
-2
Let o be 20 - 18 - (14 - -1). Let m(f) = -f - 9. Let q be m(o). Let j(a) = -3*a + 1. Let v be j(-3). Solve v = -9*t + q*t for t.
-2
Suppose 2*p = -2*u - u - 93, -5*u - 5*p = 160. Let y = 73 - 44. Let l = u + y. Solve 5*z - 5 = -l for z.
1
Suppose -o = 3*o + 180. Let d be 2/(-5) + (-603)/o. Suppose g + d = 2*p, -3*p + 2*p + 11 = g. Solve 3*h = 7*h + p for h.
-2
Suppose -t + 21 = 4*q, q - 3 = 3*t - 1. Suppose 3*d + 10 = 3*g + d, 0 = -d - q. Suppose n + 26 = 5*v, 0*n + n = -5*v + 34. Solve v*m - 3*m + 15 = g for m.
-5
Let w(d) = 6 - 8 + d + 2. Let y be w(4). Solve 4*u = 16 - y for u.
3
Let l(m) = 3*m**2 - 4*m + 3. Let n be l(2). Suppose w = 3*j - 2 - n, w + 3*j - 15 = 0. Solve 4*z - w*z = -3 for z.
-3
Let u(z) = z**2 - z + 3. Let k be u(0). Let y = 5 + k. Suppose -7 = -5*a + 2*x - 5*x, a - 3*x = 5. Solve -a*o + y = -4*o for o.
-4
Let c be ((-28)/(-35))/((-2)/40). Let a(h) = h**3 + 15*h**2 - 14*h + 32. Let f be a(c). Solve -4*b + f = -8 for b.
2
Let k = 1535 + -1476. Solve -5*v = k - 79 for v.
4
Let g(x) = 2*x. Let m be g(2). Suppose 2*y + 114*b = 112*b + 8, 4*b - 16 = -2*y. Solve y = -m*q + 7 + 5 for q.
3
Suppose -2*k - 5*m - 14 + 40 = 0, m - 19 = -5*k. Solve a - k = -5 for a.
-2
Suppose 0 = -8*y + 11*y. Suppose -9*c + 2*c = y. Solve c*a - a = 3 for a.
-3
Let b be (1/(-1))/((-12)/24). Suppose 4*p = 2*p + b. Let u be 8 - 4 - (0 - p). Solve -4*l = l + u for l.
-1
Let d = 1157 + -1107. Solve -b - d + 54 = 0 for b.
4
Let i(z) = 3*z - 22. Suppose -3*f + 2*h - 6*h + 7 = 0, -2*f - 5*h - 7 = 0. Let x be i(f). Solve -4*u + x = u for u.
1
Let q = 74 + -71. Solve 4*m = q + 1 for m.
1
Suppose -78*v = -82*v + 580. Let s = -133 + v. Solve -2*x + s = 6 for x.
3
Let r be 9 - (-8 + (21 - 7)). Let v(d) = d**3 + 2*d**2 - 1. Let x be v(1). Solve -r - x = c for c.
-5
Suppose 0 = 9*z + 2*z - 22. Suppose -11*w + 14*w - 6 = 0. Solve w*c = -z*c - 8 for c.
-2
Let v(w) = -2*w - 3. Let l be v(-17). Let a = l - 26. Solve a*o - 12 = 13 for o.
5
Suppose 5*x - 10 = -5*t, 5*t - 16 = -x + 2. Solve -4*i + 40 = t*i for i.
5
Let z(c) = -4*c - 4. Let x be z(4). Suppose -24 = 5*k - 2*k. Let w be (k/x)/(1/5). Solve 4 - w = -q for q.
-2
Let k be (-4 + -117 - 0)/(-1). Let w = -106 + k. Solve x - w = -4*x for x.
3
Suppose 32 = -2*g + 6*g - 3*s, -4*g - 2*s = -32. Solve -7*c + g*c = 4 for c.
4
Let l(m) = -6*m - 29. Let j be l(-5). Suppose -38 = -3*t + g, 4*g + j + 7 = 0. Solve -4*o + t = -8 for o.
5
Suppose 0 = 8*s - 3*s. Suppose 0 = -5*q - p - 0 - 5, s = 4*p + 20. Suppose -v = o - 10, -5*o = -2*o - 3*v - 42. Solve q = 3*z - 0*z - o for z.
4
Let i(r) be the first derivative of -r**4/4 + 5*r**3/3 - 3. Let p be i(5). Suppose 2*d = x - 13, p*x - 4*x + 4*d = -32. Solve -4*u = -x - 5 for u.
2
Suppose 529*i - 515*i - 168 = 0. Solve -11 = x - i for x.
1
Let h(w) = -7*w**3 - w**2 + 1. Let z be h(-1). Solve -z*k + 4 = -11*k for k.
-1
Suppose -10 = -5*t - 4*g, 10*t - 11*t + 11 = -g. Solve -9*x = -3*x - t for x.
1
Let u = -411 - -411. Solve -6*b + 8*b - 10 = u for b.
5
Let f be (-9)/(-4) - (-1946)/1112. Solve -22 = f*x - 10 for x.
-3
Let g(l) = 2*l**2 + 17*l + 16. Let d be g(-8). Solve -4*s = -24 + d for s.
4
Suppose 0 = 3*a - 3, 5 = -4*v - a + 46. Solve -40 = -v*r + 10 for r.
5
Suppose -5*r = -3*p - 39, -r - 5*p = 3*r - 9. Suppose 0*b + 2*b - 18 = 0. Solve r*a = b*a + 9 for a.
-3
Let g be (-2)/(-12)*-1 + 12/72. Let d be g + 4 - (-6 - -5). Solve 0*p = -d*p - 15 for p.
-3
Suppose 34 = 2*w + 4. Suppose 17 = 3*a + 5. Suppose 0 = a*x + 3*k - 5, -5 = -5*x + 3*k - 7*k. Solve 0*o - x*o = w for o.
-3
Let t = 34 + -34. Let j be (t - 3 - -2)/(-1). Solve 0 = -v + j for v.
1
Suppose 4*u = -f, 4*f - 5*u - 3 = 18. Suppose k - 5*y = 14, k + 4*y = f - 8. Solve q - 25 = -k*q for q.
5
Suppose -23 = 4*h - 599. Solve -h = -4*y - 160 for y.
-4
Let m(j) = -2*j + 8. Let x be m(3). Let a be (-36)/(-9)*x/8. Solve f - 5 + a = 0 for f.
4
Let m = -276 + 288. Solve s + 5*s = m for s.
2
Let p(s) = -17*s**2 + 17*s. Let q be p(-1). Let a = 8 - 32. Let o = a - q. Solve g + g = o for g.
5
Suppose 23 = b + 19, g - 42 = -b. Solve -g = 10*f + 2 for f.
-4
Let w = 11 - 16. Let u = -3 - w. Let t(m) = m**3 + 28*m**2 - 33*m - 114. Let n be t(-29). Solve 0*l + n*l = u for l.
1
Let z(o) = o**2 + 19*o + 48. Let l be z(-16). Solve l = -0*c + c - 2 for c.
2
Suppose 0 = 63*z - 7*z - 2464. Solve -10*w + z*w = -136 for w.
-4
Let w = -84 - -60. Let g = w - -29. Solve g*p - 8 - 7 = 0 for p.
3
Let k(t) = -t**3 + 21*t**2 - 19*t - 5. Let o be k(20). Solve o*n - 19*n = 0 for n.
0
Let u(w) be the second derivative of 2*w**3/3 + 4*w**2 + 11*w. Let v be u(-2). Let z(b) = b + 1. Let p be z(0). Solve v = a - 2*a - p for a.
-1
Let a = 1361 + -1361. Solve 25 = -5*f - a for f.
-5
Let h = -23 + 14. Let x = h - -23. Let i be (8/x)/(6/42). Solve i = -4*d - 0 for d.
-1
Let a(j) = -j + 11. Let z be a(7). Suppose z*m - 8 = -0. Suppose 2*q = v + 4, 0 = 5*q - m*q + 2*v - 13. Solve f - q = -2*f for f.
1
Let m be 8/16*(10 - 0). Suppose -8*y + m*y - 9 = 0. Let n be -2 - -3 - (y - 0). Solve -10 = -2*v + n*v for v.
-5
Let n be 3*(8/3 - 1). Suppose 2*y - 5*z + 10 = 0, -5*y + n*z + 4 + 1 = 0. Suppose -22*r + 8*r + 28 = 0. Solve -y = -r*a + 1 for a.
3
Suppose -5*o + o + 5*b + 7 = 0, 0 = -3*o + 4*b + 5. Solve 19 = -11*h - o for h.
-2
Let m be (-2)/(-6)*(16 - 1). Solve 0 = m*h + 3*h + 40 for h.
-5
Suppose 2*r + 4 = 3*u, 0*u - 2*u = -5*r - 10. Let f = u + -3. Let b = f + 24. Solve b + 4 = 5*q for q.
5
Let w = -20 - -16. Let q = 2 - w. Suppose 0 = 4*g - q*g - a + 9, 10 = -5*g + 4*a. Solve -g*p = -5*p - 3 for p.
-1
Let o(k) = -k**3 + 4*k**2 + 7*k - 6. Let h = 6 - 1. Let u be o(h). Suppose n = u - 3. Solve 5*s - 26 = -n for s.
5
Suppose -4*u + 32 = -2*u + 5*s, -5*u + 4*s = -14. Let c be (u - 9)/(-3*2/4). Solve 0*o = -c*o - 2 for o.
-1
Suppose -q - 3 = -0. Let o be (4/6)/((-595)/(-42) - 14). Let s be 1 - o - (0 + q). Solve s = -2*z + 5*z for z.
0
Let t be ((-8)/60)/((-4)/(-48))*-5. Solve t*l = 2*l for l.
0
Let u(r) be the second derivative of -r**4/12 + 5*r**3/3 + r**2 + r. Let j be (-204)/(-21) - (-14)/49. Let h be u(j). Solve -6 = -f - h for f.
4
Let u = 77 + -97. Let v = u - -22. Let a(y) = -y**2 - y. Let w be a(-1). Solve w = -0*n + n - v for n.
2
Suppose 0 = 3*i, -4 = j - 2*j - 4*i. Solve -3 = j*w + 5 for w.
-2
Let t be 5/(-10)*(-5 - -3 - 0). Solve 0 = 2*j - t + 11 for j.
-5
Let t(r) = 5*r**2 + 3*r + 1. Let f be t(-1). Suppose 0 = f*d + 5*i + 3 - 8, 5*d + 4*i - 4 = 0. Solve d = -w + 5 for w.
5
Let i(a) = 4*a - 3. Let t be i(5). Let l = -14 + t. Suppose -4*r - l*w = -26, -r = 3*r - 5*w - 10. Solve 0 = -r*z + 20 for z.
4
Let a = -249 + 251. Solve a*l + 3*l + 20 = 0 for l.
-4
Let f be 3038/735 - (-2)/(-15). Solve -8*p + 44 = f for p.
5
Suppose -60*m = -160*m + 2600. Solve -9*q - m + 8 = 0 for q.
-2
Suppose -5*m + 17 = 2. Let h be (3 - m) + (1 - -2). Suppose -7*t + 2*t = 3*k - 1, 2*k - 2*t - 6 = 0. Solve k*q - 3*q = h for q.
-3
Suppose 5*v = 4*v + 71. Let w = v + -71. Solve w = 3*p - p + 10 for p.
-5
Suppose 6*o - 128 = -32. Solve -o = -5*k - 41 for k.
-5
Let z(i) = 3*i. Let r be z(5). Let a(l) = -l + 0*l + 2*l - 4 + 5. Let t be a(7). Solve 0 = -t*v + 5*v + r for v.
5
Let x be 248/88 + 2*(-4)/(-44). Solve 0 = x*t - 7*t + 20 for t.
5
Let d = 465 - 461. Solve -4 - 16 = d*z for z.
-5
Let v(y) = -4*y**2 - 33*y - 4. Let x be v(-8). Solve -3*w - 19 = -x for w.
-5
Let k(i) = -2*i**2 - 19*i + 11. Let y be k(-10). Solve 5*u + y + 4 = 0 for u.
-1
Let y(n) = -n**2 + 4. Let r be y(2). Let u be r*(1 - 1/2). Solve u*k = -k - 5 for k.
-5
Suppose 14 = -8*w + 46. Let t = w + -1. Solve -t*x + 8 - 2 = 0 for x.
2
Let y(h) = -4*h - 2*h**2 - h**3 - 4*h**2 - h**2. Let c be y(-6). Let z = c - -12. Solve 3 = -n - z for n.
-3
Let g(v) = -v + 4. Let q be g(2). Let y be 4/8*(2 + 32). Suppose -q*a - 1 + y = 0. Solve 0*t = -4*t + a for t.
2
Suppose 0*b + u - 39 = -4*b, 5*b + u = 50. Suppose b*s = 3*s + 48. Let l = 1 + 2. Solve 0 = -l*h + h + s for h.
3
Let r = -22 - -17. Let g be (4 + r)*(-5 - 0). Solve 16 = g*l - 4 for l.
4
Let a(o) be the first derivative of -o**3/3 + 4*o**2 - 7*o + 6. Let r be a(6). Solve -2*s = -7*s - r for s.
-1
Let b(o) be the second derivative of o**3/6 + 6*o**2 - 2*o. Let v(c) = -c - 3. Let w be v(6). Let g be b(w). Solve s = -g*s - 8 for s.
-2
Suppose
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{
"pile_set_name": "DM Mathematics"
}
|
- 1 + 5 - 4. Suppose 0 - 4 = -2*g. Let d(w) = 0*w**2 - 5*w**g + 4*w**2. What is c(d(s))?
-2*s**4
Let b(j) = 15*j. Let a(w) = -10*w. What is b(a(s))?
-150*s
Let h(r) = -r**2. Let g be (-12)/24 - (-22)/4. Suppose 0*v = -2*v + 4. Let p(q) = g - v*q - 5. Calculate p(h(w)).
2*w**2
Let q(o) be the second derivative of 17*o**4/12 - 9*o. Let x(w) = -3*w**2. What is q(x(j))?
153*j**4
Let i(a) be the first derivative of -1 + 0*a**2 + 0*a + 4/3*a**3. Let j(c) be the second derivative of -c**3/6 + 5*c. What is i(j(p))?
4*p**2
Let y(q) = -3*q. Let t = -4 - -7. Let x(h) = t*h - h - h. Give y(x(i)).
-3*i
Let u(m) = m. Let h(t) = 4*t. Let b(f) = -4*h(f) + 18*u(f). Let l(p) = -6*p**2. What is l(b(v))?
-24*v**2
Let b(x) = -x + 2*x + 0*x. Let a(j) = -648*j**2 - 3 + 3 + 640*j**2. What is a(b(z))?
-8*z**2
Let l(n) = -11954*n. Let b(j) = -2*j. Give l(b(x)).
23908*x
Let s(c) = 81 - c**2 - 36 - 45. Let q(h) = -h + 11. Give s(q(y)).
-y**2 + 22*y - 121
Let z(o) be the third derivative of -o**6/360 + 2*o**3/3 - 2*o**2. Let p(j) be the first derivative of z(j). Let f(c) = -c. Determine p(f(w)).
-w**2
Let k(c) be the second derivative of -c**3/6 - 4*c. Let s(d) = 7*d - 5. Let f(q) = -7*q + 6. Let x(z) = 5*f(z) + 6*s(z). What is k(x(n))?
-7*n
Let q(c) = 82*c. Let n(j) = -25*j**2. What is q(n(b))?
-2050*b**2
Let o(y) be the third derivative of -5*y**4/24 + 51*y**2. Let a(u) = 3*u. What is a(o(q))?
-15*q
Let w(l) be the third derivative of l**5/10 + 10*l**2 - 1. Let d(i) = -5*i**2. What is d(w(j))?
-180*j**4
Let g(n) = n**2. Let s = -4 - -9. Let h(d) be the first derivative of d**3 + 3. Let m(u) = -u**2. Let f(k) = s*m(k) + 2*h(k). Determine g(f(q)).
q**4
Let n(u) be the third derivative of -1/20*u**5 + 0*u + 0 - 4*u**2 + 0*u**4 + 0*u**3. Let w(h) = -2*h**2. What is w(n(p))?
-18*p**4
Let u(d) = -6*d. Let g(o) = -o**3 + 3*o**2 + 2*o - 4. Let f be g(3). Let l(w) = -3*w**f + w**2 + 6*w**2 - 3*w**2. Calculate l(u(h)).
36*h**2
Let w(c) = -c**2. Suppose 30 = 2*v - 5*u, -2*u - 1 = -v - 3*u. Let y(h) = -7 - v*h + 7. What is y(w(n))?
5*n**2
Let t(s) = 36*s**2. Let z(g) = 3*g**2 + 1. Give z(t(c)).
3888*c**4 + 1
Let x(v) = 3*v + 2*v + v - 5*v. Let g(i) = 3*i - 2. Let c(j) = 6*j - 5. Let f(q) = -2*c(q) + 5*g(q). Calculate f(x(r)).
3*r
Let y(a) = 2*a + 8. Let h be y(-4). Let d(w) be the third derivative of 1/24*w**4 + h*w**3 + 0 + 0*w - 2*w**2. Let k(z) = z**2. Calculate d(k(v)).
v**2
Let o be 1/(-1)*(-6 - -6). Let h(w) = 0*w - 3*w + o*w - w. Let m(r) = 2*r. Calculate m(h(f)).
-8*f
Let n(v) = 14 + 3*v - 14. Let h(o) = 2*o**2. What is n(h(q))?
6*q**2
Suppose -3*t = -9 + 3. Let q(w) = 0 - 2*w**t + 0*w**2 + 0. Let z(l) = -4*l - 3. Let k(m) = 7*m + 5. Let j(b) = -3*k(b) - 5*z(b). What is q(j(x))?
-2*x**2
Let b(f) = -f**2. Let j be (-2 + 3 + 5)/2. Let g(d) be the second derivative of 0*d**2 - 2*d + 0*d**j - 1/6*d**4 + 0. Give b(g(u)).
-4*u**4
Let w(x) = 3*x. Let h(b) = -14*b. Give h(w(s)).
-42*s
Let t(z) be the second derivative of 5*z**3/6 + 10*z. Let d(m) = 2*m. Calculate t(d(y)).
10*y
Let s(l) = 2580*l**2 + 1. Let c(k) = k. Give s(c(p)).
2580*p**2 + 1
Let n(m) = 3*m**2. Let g be ((-54)/4)/3*-2. Suppose 0 = -0*s + s - g. Let v(k) = -2*k + 2*k + 7*k**2 - s*k**2. What is v(n(h))?
-18*h**4
Let w(t) = -2*t. Let r(y) be the first derivative of 3*y**3 - 2*y**3 + 4 + 0. What is r(w(l))?
12*l**2
Let z(a) = -26*a**2. Let t(g) = -6*g**2. Give t(z(n)).
-4056*n**4
Let b(c) = 5*c - 8*c**2 + 10*c**2 - 5*c. Let v(m) = -9*m. What is b(v(z))?
162*z**2
Let o = 3 + -10. Let k = -7 - o. Let p(y) = 2*y - y + k*y. Let v(a) = -a. Calculate v(p(w)).
-w
Let g(h) = -h**2. Suppose 5 - 5 = -10*v. Let x(m) be the third derivative of m**2 + 0*m + v - 1/24*m**4 + 0*m**3. Give x(g(t)).
t**2
Let s(k) = 5*k**2 - 3*k. Let u be (18/12)/(1/2). Let a(b) = -9*b**2 + 5*b. Let j(g) = u*a(g) + 5*s(g). Let c(q) = -q + 6*q - 4*q. What is j(c(x))?
-2*x**2
Let u(k) = -26*k. Let y(c) = -6*c**2. Calculate y(u(o)).
-4056*o**2
Let x(y) be the first derivative of -y**3/3 + 1. Suppose 2*g - 13 + 7 = 0. Let d(z) = -g*z + 3*z - 4*z + 5*z. Calculate x(d(f)).
-f**2
Let f(l) = 2*l**2. Let n(a) = -6*a**2. Let s(p) = 5*p + p**2 - 5*p. Let g(b) = -n(b) - 5*s(b). What is g(f(d))?
4*d**4
Let d(f) = 2*f**2. Let r(h) be the second derivative of h**6/90 - 5*h**3/6 + 6*h. Let l(g) be the second derivative of r(g). Give d(l(b)).
32*b**4
Let m(q) = 630*q**2. Let g(a) = -27*a**2 - 1. Calculate m(g(f)).
459270*f**4 + 34020*f**2 + 630
Let p(c) = -995 + 995 - c. Let m(w) = -64*w**2. Determine m(p(b)).
-64*b**2
Let i(y) = 3*y**2. Let w(q) be the second derivative of 19*q**4/12 + 2*q. Calculate i(w(u)).
1083*u**4
Let d(r) = -12*r**2 + 2. Let q(m) = -205*m**2 + 35. Let x(u) = -70*d(u) + 4*q(u). Let j(l) = -2*l**2. Give x(j(t)).
80*t**4
Let p(j) = 2*j - 2*j - 2*j**2. Let w(f) = -1. Let q(t) = 2*t + 6. Let z(d) = q(d) + 6*w(d). Calculate z(p(c)).
-4*c**2
Let f(d) be the first derivative of d**3 - 30. Let j(q) = 5*q**2. Calculate j(f(v)).
45*v**4
Let s(v) = 4*v**2 + v**2 - 2*v**2. Suppose u - 7 = -6*f + f, -5 = -4*f - u. Let j(w) = 2*w**f + 0*w**2 - 5*w**2. What is j(s(r))?
-27*r**4
Let g(z) = 26*z**2 + z. Let j(w) = 2*w. What is j(g(d))?
52*d**2 + 2*d
Let g(b) = -5*b**2. Let w be (2/3)/((-10)/(-45)). Let h(x) = 6*x - w*x + 2*x - 3*x. Give h(g(p)).
-10*p**2
Let u(n) = 9*n**2. Let t(k) = 8*k**2 + 2*k. Determine u(t(p)).
576*p**4 + 288*p**3 + 36*p**2
Let r(k) = 2*k**2 - 9*k + 9. Let m(z) = z**2 - 4*z + 4. Let y(d) = 9*m(d) - 4*r(d). Let v(t) = 44*t - 2. Determine y(v(g)).
1936*g**2 - 176*g + 4
Let t(c) = c. Let k(s) be the second derivative of -s**2 - 1/24*s**4 + 0*s**3 + 0 - s. Let u(g) be the first derivative of k(g). Determine t(u(j)).
-j
Let o(q) = -2 - 3 + 4. Let g(p) = -p - 5. Let a(b) = 2*g(b) - 10*o(b). Let k(y) = -5*y**2. Calculate k(a(j)).
-20*j**2
Let j(s) = 0*s - 4*s - s + 10*s. Let a(r) be the second derivative of r**5/60 + r**3/3 + r. Let c(y) be the second derivative of a(y). Calculate c(j(h)).
10*h
Let d(w) = w**2. Let n = 6 + -4. Let o = 0 + n. Let b(u) = u**2 - u**o - 3*u**2. Determine b(d(c)).
-3*c**4
Let l(m) = -10*m. Let g(d) = -2609*d**2. Determine g(l(o)).
-260900*o**2
Let u(v) = -2*v**2 - 3*v - 3. Let h(k) = 3*k**2 + 4*k + 4. Let c(r) = -3*h(r) - 4*u(r). Let o(i) = 9*i. Calculate c(o(d)).
-81*d**2
Let p(u) be the third derivative of u**5/30 - u**2. Suppose 4*z + z - 10 = 0. Let b(k) = -z*k - 6*k + 4*k. What is p(b(n))?
32*n**2
Let m(v) = 2*v**2. Let o(i) be the second derivative of -5*i**4/4 - 12*i. Give m(o(l)).
450*l**4
Let s(q) = -q. Let d(z) = 11*z. Let x(u) = -155*u. Let h(n) = 85*d(n) + 6*x(n). What is h(s(c))?
-5*c
Let x(u) = -11737*u. Let b(g) = 2*g**2. Give x(b(r)).
-23474*r**2
Let p(w) = 4*w**2. Let c(j) = -94*j + 18. Determine p(c(r)).
35344*r**2 - 13536*r + 1296
Let y(g) = -2*g**2. Let h(v) = -13*v**2 + 25*v**2 + 10*v**2. Determine h(y(o)).
88*o**4
Let q(z) = -11*z**2. Let g(c) be the second derivative of 6*c + 0 + 0*c**2 - 1/3*c**3. Calculate g(q(p)).
22*p**2
Let y be 1 + -3 + 1 + 3. Let f(z) = -z + z**y + z. Let n(x) = -x - 1. Let t(u) = -4*u - 1. Let q(d) = n(d) - t(d). What is f(q(b))?
9*b**2
Let m(o) = 11*o**2. Let w(p) = -345*p. What is w(m(r))?
-3795*r**2
Let l(b) be the first derivative of 2*b**3/3 - 34. Let h(d) = 19*d**2 + 1. What is l(h(q))?
722*q**4 + 76*q**2 + 2
Let c(n) be the first derivative of -2 - 46*n - n**2 + 46*n. Let r(x) = 5*x**2. Determine c(r(u)).
-10*u**2
Let u(c) = 17*c**2 - 15*c**2 - 1 + 1. Let o(a) = 41*a. Calculate o(u(q)).
82*q**2
Let w(z) = -2*z**2 - z**2 + 4*z**2. Let y(c) be the second derivative of 5*c**3/6 - 3*c. Let r(i) = 6*i. Let b(m) = 3*r(m) - 4*y(m). Give b(w(k)).
-2*k**2
Let a(d) = d**2. Let n(s) = 2*s**2 + s - 5745. Give n(a(v)).
2*v**4 + v**2 - 5745
Let b(t) = 2*t. Let c(j) = -2*j**2 + 692. Calculate b(c(r)).
-4*r**2 + 1384
Let z(a) = 40*a. Let j(t) = 30*t**2 - 60*t**2 + 32*t**2. What is j(z(g))?
3200*g**2
Let r(p) = 2*p. Let c(s) = -s - 6. Let o(w) = 1. Let y(i) = -c(i) - 6*o(i). What is r(y(k))?
2*k
Let u(m) = -4*m**2. Let s(f) = 812*f. Determine u(s(x)).
-2637376*x**2
Let p(k) = 15*k. Let v(d) = -d**2. Calculate p(v(w)).
-15*w**2
Let r(b) = -65*b. Let k(f) = f**2 + 1. Let q(d) = d**2 + 2. Let v(y) = -2*k(y) + q(y). Determine v(r(i)).
-4225*i**2
Let r(g) = -3*g. Let h = -13 + 17. Le
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{
"pile_set_name": "DM Mathematics"
}
|
16 + -146. Let m be 5 + -1 - (-9 - -9). Suppose -2*v - 16 = -p, -5*p - m*v + 154 = 18. What is the remainder when b is divided by p?
22
Let m be -13 + 11 + 0 + 5. Suppose 59 = m*j - 3*b + 14, 2*j - 4*b = 28. Suppose -h = -5*h + j. What is the remainder when 14 is divided by h?
2
Suppose -120 = -2*a - 4*a. Suppose 21*z + 14 = 23*z. Calculate the remainder when a is divided by z.
6
Suppose -1124 = 101*w - 3374 - 2800. Let f be -2 - -1 - (-2 - -4). What is the remainder when w is divided by (2/f)/(-2)*39?
11
Let w(x) = -2*x + 108. What is the remainder when w(34) is divided by 104/16 - 2/(-4)?
5
Suppose -3*w - 72 = -6*w. Let g be (3/(-2))/(21/(-2576)). Suppose 3*l - g = -l. Calculate the remainder when l is divided by w.
22
Suppose -39*n + 1232 = 5*n. What is the remainder when 83 is divided by n?
27
Suppose -q + 0 = -4. Suppose 15 + 17 = q*t. Calculate the remainder when 31 is divided by t.
7
Suppose -9*u + 6*u + 1290 = 0. Suppose -2*n = 3*n - u. Suppose 5*v - 3*x = 142, x = -2*v + 39 + 20. Calculate the remainder when n is divided by v.
28
Let q(r) = -2*r**2 + 42*r + 23. What is the remainder when q(14) is divided by 10?
9
Let r = 11 + 0. Suppose -5*y = 5, 3*f + 6*y = 2*y + r. Suppose -v + 82 = -3*q, 0 = f*q + 12 + 13. Calculate the remainder when v is divided by 23.
21
Let a(t) = 2*t**2 - 8*t + 4. Suppose 3*s + 24 = 4*d + 6*s, 0 = 2*s. Calculate the remainder when 251 is divided by a(d).
27
Let m(i) = i**2 - 1. Let z(n) = -n**3 + 9*n**2 + n - 3. Let g(s) = -m(s) + z(s). What is the remainder when (27/(-6))/(1/(-6)) is divided by g(8)?
3
Suppose 13 = -3*z + 3*l + 22, 5*z - 2*l = 15. Let b = -11 + 8. Let q = b - -10. What is the remainder when q is divided by z?
1
Let y = -36 - -38. Suppose 3*t = -y*t + 15. Calculate the remainder when 5 is divided by t.
2
Suppose -5*b - 5 = -3*c - 61, -4*c = -2*b + 14. Calculate the remainder when 88 is divided by b.
10
Suppose h - 2*i = 4*h - 13, 5*h - 4*i - 29 = 0. Let v(x) = -x**3 - 6*x**2 + 6*x - 2. Calculate the remainder when h is divided by v(-7).
0
Suppose -5*b = -5*g + 435 + 50, 2*g - 3*b = 193. Let y = g + -163. Calculate the remainder when y*3/((-15)/2) is divided by 9.
8
Let s = -6 - -2. Let j(t) = 5*t**3 + 8*t**3 - 14*t**3 - 6*t + t - 5. What is the remainder when j(s) is divided by 20?
19
Suppose 8904 = 75*f - 33*f. Calculate the remainder when f is divided by 26.
4
Calculate the remainder when (1/(-4))/(3 + 18991/(-6328)) is divided by 24.
10
Let f(w) = 7*w**2 + 23*w - 7. Calculate the remainder when f(-12) is divided by 28.
25
Let z(s) = -8*s + 16 + 2 + 9*s. Calculate the remainder when z(0) is divided by ((-4)/6)/(10/(-105)).
4
Let v(h) = 7*h + 153. What is the remainder when v(-15) is divided by 14?
6
Let p(b) = -4*b - 24. Let f(s) = 3*s + 23. Let t(a) = 3*f(a) + 2*p(a). What is the remainder when 33 is divided by t(-9)?
9
Let q = 97 - 96. Calculate the remainder when 1 is divided by q.
0
Let v be 1 + (-5)/4 + 117/4. Let l = 36 - v. Calculate the remainder when 11 is divided by l.
4
Let l(c) = -c + 0*c - 6 - 7*c + 5. Calculate the remainder when 12 is divided by l(-1).
5
Let q(u) = -212*u - 1197. What is the remainder when 291 is divided by q(-6)?
66
Suppose -295 = -4*q - 107. Calculate the remainder when q is divided by ((-3)/(-3))/(17/204).
11
Let i(r) = 16*r**3 + 3*r**2 - 3*r. Calculate the remainder when i(2) is divided by ((-430)/129*(-27)/(-24))/((-2)/8).
14
Suppose -395 = 4*o - 9*o. Calculate the remainder when o is divided by 22.
13
Suppose -6 + 14 = 2*u. What is the remainder when (-6 - 161/(-21))/(1/3) is divided by u?
1
Suppose -5*v + 0*v = -75. Let u be 1 - 2/(-4)*(3 + -1). Suppose 2*j - u = -0*j + 4*p, 4*j = -4*p + 52. Calculate the remainder when v is divided by j.
6
Suppose -49 = -n - 23. Let b = 22 - 11. Calculate the remainder when n is divided by b.
4
Suppose 109*r - 135 = 106*r. Calculate the remainder when r is divided by (24/(-9) - -2)*-18.
9
Let u(g) = 7*g**2 - 23*g - 168. What is the remainder when u(-6) is divided by 35?
12
Let l(q) = 367*q + 2. Let o be l(-1). Let s = -236 - o. Calculate the remainder when s is divided by 26.
25
Suppose -404 = -r + 5*d, -2*d = r + 2*d - 422. What is the remainder when r is divided by 83?
82
Let i(v) = v. Let b(y) = -10*y - 3. Let a(s) = -b(s) - 6*i(s). Suppose 0 = 4*k - m - 15, 3*m - 7*m = 12. Calculate the remainder when a(k) is divided by 6.
3
Let l(w) = 22*w**2 - 2*w - 1. Let y = 5 + -6. Suppose 0 = -2*p - p + 18. What is the remainder when l(y) is divided by p?
5
Let d(m) = m**3 - 3*m**3 + 2*m**2 + 2*m + 1 + 1. Let p be d(-2). Let u = -9 + p. What is the remainder when u is divided by 8?
5
Suppose -22*q = -5383 - 3835. What is the remainder when q is divided by 84?
83
Let j = -29 + 9. Let k(n) = n**3 + 21*n**2 + 21*n + 39. Calculate the remainder when 93 is divided by k(j).
17
Let r(a) = -a**3 - 4*a**2 + 7*a. Let i be r(-5). Let y = i + 18. Suppose 3*m + d = 2*d + 8, -2*d = -y. What is the remainder when 7 is divided by m?
3
Let j be 4/(-6) - (-68)/(-6). Let n = 18 + j. Suppose 480 = 34*a + 14*a. Calculate the remainder when a is divided by n.
4
Calculate the remainder when (-11090)/(-33) - 116/1914 is divided by 120.
96
Let r = -168 - -172. Calculate the remainder when 23 is divided by r.
3
Let p = 295 + -156. Calculate the remainder when p is divided by 50.
39
Let s(p) = 17*p. Let k be s(-4). Let n be 754/8 + (-6)/(-8). Let r = n + k. Calculate the remainder when r is divided by 10.
7
Let d(z) = z**3 - 8*z**2 + 6*z + 22. Let m be d(7). Let o = m - 13. Calculate the remainder when o is divided by 2.
0
Suppose -16 = -4*a, -2*x - 4*a + 0*a + 132 = 0. Suppose 2*h - 7*h = -3*r + 165, 4*h = r - 139. Let m = h + 51. Calculate the remainder when x is divided by m.
13
Let r = 1727 - 1367. What is the remainder when r is divided by 64?
40
Let d = 19 - 13. Let p = -31756 + 31762. Calculate the remainder when d is divided by p.
0
Let d = 22 - 20. Suppose -104 = -d*t - 2*t. Calculate the remainder when t is divided by 15.
11
Calculate the remainder when -2 + -1 + 1680/10 is divided by 39.
9
Let g(s) = 31*s - 210. Let k be g(8). Let r(p) = p**3 + 3*p**2 - 6*p - 3. Let o be r(-5). Let l = o + k. Calculate the remainder when 43 is divided by l.
13
Let s(g) = 2*g**2 + 8*g - 72. Calculate the remainder when 29 is divided by s(-9).
11
Suppose 15 = 2*h + h. Suppose -377 = -h*x + 3*m, -x - 4*m - 35 = -115. Suppose -k - x = -5*k. Calculate the remainder when k is divided by 5.
4
Suppose -l - 63*j + 67*j = -5, 0 = 3*l + 3*j - 90. Calculate the remainder when 131 is divided by l.
6
Suppose -5*l - 6 + 76 = 0. Let u = 64 + -57. Suppose 0 = u*c + 161 - 546. Calculate the remainder when c is divided by l.
13
Let l = 733 + -720. Let u(r) = -r**2 - 7*r - 4. Calculate the remainder when l is divided by u(-5).
1
Suppose 2*z + 1 = 5. Suppose 0 = -g - p + 11, 0*p - z = 2*p. Calculate the remainder when 22 is divided by g.
10
Let z be 1/1*1*-53. Let b be 51558/429 - 2/11. Let y = b + z. Calculate the remainder when y is divided by 23.
21
Let q = 31 + -28. Suppose b + q*b = 104. What is the remainder when 74 is divided by b?
22
Suppose 3*a - 91 = -4*c - 0*c, -c - a + 24 = 0. What is the remainder when 123 is divided by c + (26/(-65))/((-1)/5)?
18
Suppose -7*k - 1 = -8*k. Let r be k/2*(-8 + 30). Let m = 20 - r. What is the remainder when m is divided by 5?
4
Let v(s) = -8*s + 10. Let y be v(10). Suppose t + 72 = 5*t. What is the remainder when y/(0 + -5 + 4) is divided by t?
16
Let b(y) = -7*y. Let g(x) = -7*x - 1. Let d(o) = -5*b(o) + 4*g(o). Let f = -6 + 10. What is the remainder when f is divided by d(1)?
1
Suppose -8*q - 4*z + 57 = -3*q, 45 = 4*q + 3*z. Calculate the remainder when -5*-2*q/10 is divided by 4.
1
Let f = 2162 + -2067. Calculate the remainder when f is divided by 34.
27
Suppose -3*f - 3*h = -71 - 106, -3*h = 4*f - 237. Suppose 0*c = -2*c + 5*k + 41, 0 = 3*k - 3. Let l = 54 - c. Calculate the remainder when f is divided by l.
29
Let o(q) = -3*q - 18. Let r(t) = -t + 5. Let n be r(2). Suppose n*x + 178 = 8*x - 3*w, w = x - 36. Calculate the remainder when x is divided by o(-9).
8
Calculate the remainder when 95 is divided by (-422)/(-12) - (-13)/(-78).
25
Let l be 2 - (6 - 2 - 6). Suppose -5*k + 44 = 5*i - 36, 57 = l*k - 3*i. What is the remaind
|
{
"pile_set_name": "DM Mathematics"
}
|
j
What is the second derivative of -889*b + 4*b**3 + 865*b + 1 + 0*b**3 + 683*b**4 - 4*b**3 wrt b?
8196*b**2
Let b(u) be the first derivative of -509*u**5 + 583*u + 59. What is the first derivative of b(o) wrt o?
-10180*o**3
Let t(a) be the third derivative of 1/4*a**6 + 175*a**2 + 0 + 1/12*a**4 - 1/6*a**3 + 1/60*a**5 + 0*a. Find the second derivative of t(s) wrt s.
180*s + 2
Let z(f) be the first derivative of -23*f**5 - f**4/2 - 110*f**3/3 + 267. Find the third derivative of z(v) wrt v.
-2760*v - 12
Suppose 15*o + 8*o = 230. What is the third derivative of -5*n**4 + 9*n**4 + 1 + 6*n**4 - 28*n**2 + o*n**4 wrt n?
480*n
Let k(i) = 57*i**2 + 4*i + 613. Let h(r) = 170*r**2 + 14*r + 1841. Let w(j) = -2*h(j) + 7*k(j). What is the derivative of w(u) wrt u?
118*u
What is the third derivative of 6*c**6 + 57 - 55 - 772*c**2 + 1763*c**6 wrt c?
212280*c**3
Let h(n) be the first derivative of 0*n**4 + 136/3*n**3 - 163 - 2*n + 0*n**5 + 0*n**2 - 4/7*n**7 - 1/2*n**6. Find the third derivative of h(y) wrt y.
-480*y**3 - 180*y**2
Let k(h) be the first derivative of -1357*h**6/2 + 4153*h**2 + 6175. Find the second derivative of k(f) wrt f.
-81420*f**3
Differentiate 395*s + 9 - 171*s - 975 + 990*s wrt s.
1214
Let r = -37 + 64. Let k be (2 - r)/(-5) - 1. Find the first derivative of 4 + 250*t**3 - 243*t**3 + k wrt t.
21*t**2
Let f = -158 + 160. What is the third derivative of -210 - 13*v**3 - v**5 + 102 + 107 + 2*v**f wrt v?
-60*v**2 - 78
Let r(i) = 45*i - 346. Let x(w) = -w + 3. Let p(k) = -17*k + 157. Let m(l) = p(l) + 5*x(l). Let q(j) = 11*m(j) + 6*r(j). Differentiate q(z) wrt z.
28
Let v(z) be the second derivative of 23*z**8/56 - z**6/15 + z**5/20 + 2735*z**4/12 - 1825*z. Find the third derivative of v(g) wrt g.
2760*g**3 - 48*g + 6
Let l = -7276 - -7276. Let a(o) be the second derivative of -9/2*o**2 + 0*o**3 + l + 4*o - 3/2*o**5 + 0*o**4. What is the first derivative of a(c) wrt c?
-90*c**2
Find the second derivative of 913*v**4 - 4952749 + 4952747 - 2*v**2 + 125*v + 96*v wrt v.
10956*v**2 - 4
Let w(b) be the first derivative of b**7/7 + 1533*b**5/5 + 5*b**3/3 + 3*b**2/2 + 43*b + 3588. What is the third derivative of w(g) wrt g?
120*g**3 + 36792*g
Let d(o) be the third derivative of -353*o**6/60 + o**5/60 - 7417*o**3/6 - 2*o**2 - 566. What is the first derivative of d(k) wrt k?
-2118*k**2 + 2*k
Suppose -270 = 229*b - 283*b. Let h(z) be the second derivative of 0*z**4 - 9/20*z**5 + 0*z**3 - 15*z - b*z**2 + 0. What is the first derivative of h(m) wrt m?
-27*m**2
Let q(j) = -2*j**3 - 3*j**2 - j + 2. Let z be q(-1). Find the third derivative of -8*p - 342*p**z - 337*p**2 + 678*p**2 - 9*p + 64*p**3 wrt p.
384
Let q be -2*(-7 - (-76)/(-8)). Differentiate -19*d - 91*d + 54 + q*d wrt d.
-77
Let k(i) = 75*i**2 - 32. Let t(a) be the first derivative of 17 + 0*a**2 - 48*a + 112/3*a**3. Let s(o) = -8*k(o) + 5*t(o). Differentiate s(v) with respect to v.
-80*v
Find the first derivative of -5991 + 3395*c - 831 - 259 + 8655*c wrt c.
12050
Let d(w) be the first derivative of -123/2*w**2 + 0*w + 92/5*w**5 + 0*w**4 - 1/3*w**3 + 87. Find the second derivative of d(x) wrt x.
1104*x**2 - 2
Let g(u) be the third derivative of 109*u**4/2 - 1273*u**3/2 - 6*u**2 + 184*u. Find the first derivative of g(b) wrt b.
1308
Let r(b) be the second derivative of -535*b**3/3 + 225*b**2/2 + 89*b - 2. What is the first derivative of r(n) wrt n?
-1070
Let s(k) be the first derivative of -k**4/2 - 2428*k**3/3 - k**2 - 72*k - 3172. Find the second derivative of s(g) wrt g.
-12*g - 4856
Suppose -26 = -5*q + z, 9*q - 8*q + 5*z = 0. What is the third derivative of -13*v**5 - 9*v**4 + 4*v**q - 7*v**2 + 9729*v - 9728*v wrt v?
-540*v**2 - 216*v
Let n(p) be the second derivative of -p**6/15 - 379*p**4/12 - 1153*p**2/2 - 6*p - 23. Differentiate n(k) with respect to k.
-8*k**3 - 758*k
Let s(k) be the first derivative of 0*k**3 + 0*k + 1/5*k**5 + 76*k**2 + 0*k**4 - 97 + 61/6*k**6. Find the second derivative of s(p) wrt p.
1220*p**3 + 12*p**2
Let k = -343 + 353. Find the third derivative of -196*c - 108*c**6 + 196*c + k*c**2 wrt c.
-12960*c**3
Suppose -3*z - 6 = -3*d - 0*d, -2*d + 10 = 0. What is the second derivative of h + 0 - 1 - 71*h**3 + 30*h**z + 27*h**3 + h**2 wrt h?
-84*h + 2
Let u(l) be the first derivative of -l**3 - 507*l**2/2 - 2274*l + 657. Differentiate u(k) wrt k.
-6*k - 507
Let u(w) be the second derivative of w**7/6 + 5*w**6/6 - 7*w**4/3 - 13*w**3/6 + 545*w. What is the third derivative of u(a) wrt a?
420*a**2 + 600*a
Let u be ((-7)/21)/(-1 + 34/36). Find the third derivative of 5 + 5*o**2 - 9 - 1 + 8*o**u wrt o.
960*o**3
Let m = -9454 - -56729/6. Let y(r) be the second derivative of 17*r + 0 - 23/2*r**2 + m*r**6 + 0*r**5 + 0*r**4 + 0*r**3. What is the derivative of y(l) wrt l?
100*l**3
Let f(z) = 2*z**2 - 5*z. Let r be f(5). Suppose 4*i - r + 5 = 0, -3*j - 2*i = -22. Differentiate 100*v**4 - 2 - 97*v**j - 8 with respect to v.
12*v**3
Let y(z) be the first derivative of -z**4 - 67*z**2/2 - 4378*z + 3716. What is the first derivative of y(s) wrt s?
-12*s**2 - 67
Let u(c) be the second derivative of -12*c**2 + 0 - 54*c + 1/12*c**4 + 1/2*c**3. Differentiate u(f) with respect to f.
2*f + 3
Suppose 2*a - 2*p = -a + 54, -5*p = -a + 5. Suppose 28 = a*k - 13*k. What is the third derivative of -7*j**4 - 5*j**k + 27*j**4 + 12*j**2 wrt j?
360*j
Find the third derivative of -2326*i**5 - 2967*i**5 - 6634 + 10*i + 11*i - i + 6637 + 66*i**2 wrt i.
-317580*i**2
Let i = -696 - -728. Differentiate 146 + 32*f**4 - 82*f**4 - 61*f**4 - i wrt f.
-444*f**3
Let y(t) = t**2 - 10*t + 41. Let d be y(15). What is the second derivative of 77*o + 99 - 10*o**2 + d*o**2 - 99 wrt o?
212
Let q(i) = 2*i - 6. Let b be q(9). Find the first derivative of 66*p - b + 9*p + 3 - 16 wrt p.
75
Let q(p) be the second derivative of 0*p**2 - 17/4*p**4 - 5 + 3*p + 16/3*p**3. Find the second derivative of q(d) wrt d.
-102
Let x(t) = -t**2 + t + 1. Let r(m) = 6*m**2 - 46*m + 5689. Let s(z) = r(z) - 3*x(z). Differentiate s(k) with respect to k.
18*k - 49
Let l(n) be the third derivative of 71*n**2 + 25/6*n**3 + 0*n + 0 + 23/24*n**4. Find the first derivative of l(a) wrt a.
23
Let g(h) be the first derivative of 48 + 0*h**2 + 18*h**3 + 17*h - 1/4*h**4. What is the derivative of g(k) wrt k?
-3*k**2 + 108*k
What is the third derivative of -5*u**5 + 5*u**5 - 2*u**3 - 4*u**5 - 650*u**2 - 39*u**2 - 1 + 251*u**4 + 0*u**5 wrt u?
-240*u**2 + 6024*u - 12
Suppose -36 + 30 = -3*o. Find the second derivative of -134 + 134 - 40*x - x**o - 139*x + 15*x - 22*x**3 wrt x.
-132*x - 2
Let o(m) be the third derivative of 181*m**5/20 + 11*m**4/8 + 2*m**3/3 - 2*m**2 - 879. What is the second derivative of o(i) wrt i?
1086
Suppose 10*j + j - 44 = 0. Let c be 5 + 0 + -3 + 2. Differentiate 28 + 15*k**j + 10 - 48*k**c - 5 wrt k.
-132*k**3
Let p(r) = -604*r**3 - 11*r**2 + 353*r + 2. Let a(k) = 906*k**3 + 17*k**2 - 538*k - 3. Let z(x) = 5*a(x) + 8*p(x). Find the second derivative of z(d) wrt d.
-1812*d - 6
Differentiate -437 - 483*v**4 + 835 + 796 + 2516*v**4 + 210 wrt v.
8132*v**3
Suppose 3*y = 7*y - 16. Suppose 5*o - 190 = -y*b, 6*o + 2*b = 9*o - 114. Find the second derivative of -6*d**4 - 79*d**4 + 42*d + o*d**4 wrt d.
-564*d**2
Suppose s - 127 = 2*v - 4*s, v + 3*s = -91. Let x = -72 - v. What is the first derivative of 467*j**2 - 29 - 467*j**2 - 10*j**x wrt j?
-40*j**3
Find the third derivative of -8960*m**5 + 29*m**4 + 8982*m**5 - m**2 + 3326*m + 2*m**2 + 3*m**3 wrt m.
1320*m**2 + 696*m + 18
Let f(s) = -340*s**3 + 772*s**2 + 3*s. Let j(v) = 676*v**3 - 1543*v**2 - 7*v. Let c(l) = -7*f(l) - 3*j(l). What is the third derivative of c(o) wrt o?
2112
Suppose -3*c - 2*v = 44, 20 = 3*c - v + 61. Let i = c - -26. What is the third derivative of 2*f**3 + 6*f**2 + i*f**2 - 22*f**2 + 6*f**2 wrt f?
12
Let u(i) = 4603*i + 5751. Let s(n) = 23015*n + 28627. Let l(j) = -2*s(j) + 11*u(j). What is the first derivative of l(q) wrt q?
4603
Let d(p) be the second derivative of -6*p**6/5 - p**5/4 - 5*p**4/6 + 29*p**2/2 - 1677*p. Find the third derivative of d(t) wrt t.
-864*t - 30
Let u(g) = g + 10. Let k be u(-3). Find the first derivative of k - 1218*m + 596*m + 606*m wrt m.
-16
Let j(t) = -2*t**2 + 4*t + 54. Let l be j(-4). Find the third derivative of 36*d**2 - 3*d**4 - l*d**5
|
{
"pile_set_name": "DM Mathematics"
}
|
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