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stringlengths 518
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losest to 2/7? (a) 2/9 (b) 0.3 (c) 3/763 (d) 0.4 (e) 149 (f) 3/8
b
Which is the closest to 1? (a) 0.2 (b) -1.7975 (c) 3/2 (d) 77/6
c
What is the closest to 0 in 8192106, 5, 0.2?
0.2
What is the nearest to 2 in 111, -9, -5/2, 5, 4?
4
Which is the closest to -45.9? (a) 1 (b) 2 (c) 449/4
a
What is the nearest to 0.24 in -1, 0.4, -1/2572?
0.4
What is the closest to -0.1 in 10887.2, 1/12, -4, 1, -0.1?
-0.1
What is the closest to -2/3 in 2, 14/33, -2, -5, 10541?
14/33
Which is the nearest to 3/5? (a) -0.1 (b) -2/3 (c) 1/4 (d) -636/5 (e) 4
c
What is the nearest to -3/2 in -93, -16, -9?
-9
What is the nearest to 0 in 3, 44, 5, -0.003, -0.143?
-0.003
Which is the closest to -24.9? (a) -1 (b) -18.6 (c) 16
b
Which is the nearest to -2961? (a) -13/6 (b) 0 (c) -4
c
What is the closest to -7997 in 0.4, 13, -1/3, -1/6?
-1/3
What is the closest to 0 in 8422, 2/7, 12, 2/9, 0.5, 3/7?
2/9
What is the closest to 10305 in 10, -2/5, -2/19?
10
Which is the nearest to 0.29? (a) 21 (b) 415 (c) -0.5 (d) -4
c
Which is the closest to -21/11? (a) -3 (b) 5813 (c) -5
a
Which is the closest to 1? (a) -0.49 (b) 2145 (c) -76
a
Which is the nearest to 1/2? (a) -5 (b) -1.6 (c) 60/79
c
What is the nearest to 2/5 in -2452, -0.0411, -0.3?
-0.0411
Which is the closest to 2/17? (a) 1/2 (b) 2 (c) -2/3 (d) -1/2 (e) 100 (f) -0.04
f
Which is the closest to -2? (a) -0.12595 (b) -4/9 (c) -6.67 (d) -0.5
d
What is the nearest to 3.8 in 0.3, 3, -0.5, -389, 5?
3
What is the closest to -0.4 in -51239, -42, -10?
-10
Which is the closest to -54? (a) 7.39 (b) -248 (c) 0.4 (d) 3
c
What is the closest to -1 in -240, -5, -0.00791?
-0.00791
Which is the nearest to 0.4? (a) -1 (b) -2/3 (c) 1 (d) 5/2 (e) 2/13471 (f) 70
e
Which is the closest to 4? (a) -2 (b) 1/6 (c) -3.5408 (d) -5 (e) -3/5
b
What is the closest to 599/3 in -4949, 0.13, -1?
0.13
Which is the closest to 7? (a) 12 (b) -2645 (c) 0.1
a
What is the nearest to 0.3 in -2/11, -20053, -0.79?
-2/11
Which is the closest to 10? (a) 16 (b) -0.7 (c) -0.0196
a
What is the nearest to -1/2 in -64, 122, -4, -20/23?
-20/23
What is the closest to -9/2 in 5/9, 202.5, 0.2, 0.3?
0.2
Which is the nearest to 939045? (a) -4 (b) 1 (c) -1/2
b
Which is the nearest to 582? (a) 6/7 (b) 3 (c) 4/7 (d) 0.4 (e) -1/4
b
What is the nearest to 487/23 in 5, -4, -3, 0, -471/7?
5
What is the nearest to -0.1 in 5, 46.9, -2/7, 1/796?
1/796
Which is the nearest to 52? (a) -608157 (b) 4 (c) -2 (d) -0.1
b
What is the closest to 0 in 33.25, -2/1859, 3?
-2/1859
Which is the nearest to -1/4? (a) 0 (b) 3 (c) 4 (d) 25/21 (e) -346
a
Which is the nearest to -0.734? (a) 0 (b) -4.9 (c) -45
a
Which is the closest to 3/5? (a) 3/8 (b) -14 (c) 0.2 (d) -1/7 (e) -1/71 (f) 66
a
Which is the closest to -20/7? (a) -8 (b) 14394 (c) -3 (d) 4 (e) 3/5
c
Which is the closest to -6? (a) -2 (b) -2/11 (c) -2/9 (d) -36 (e) -0.04
a
What is the closest to -1.22 in -3000, 2/11, -25, -0.2?
-0.2
Which is the closest to -1? (a) 3 (b) 1 (c) 2.4 (d) -4541 (e) 0.4 (f) 6
e
What is the closest to -0.1 in 0.001, -1, -318, 9.7?
0.001
Which is the closest to 1/277? (a) 5/6 (b) -7 (c) 0.5 (d) -6
c
Which is the closest to 157/2? (a) 0.3 (b) 2/3 (c) 0.2 (d) -2 (e) 1.1 (f) 1.296
f
Which is the closest to -24? (a) 3 (b) 2/3 (c) -0.2 (d) -1.144
d
Which is the nearest to -3? (a) 2/145 (b) -0.18 (c) 0.5 (d) -4
d
What is the closest to 373 in -684/13, 2/15, -1/2?
2/15
What is the closest to -40 in -2, -2.91, 34?
-2.91
Which is the nearest to 2/7? (a) 1098 (b) 172 (c) 4
c
What is the closest to -5 in -3, 0.86464, -0.091?
-3
What is the closest to 3/5 in 5, 96, -1693, 2?
2
Which is the nearest to 2/5? (a) 1/18 (b) -0.7 (c) 4/3 (d) 4 (e) 307/6
a
What is the closest to 15/58 in -5, 0, 9823?
0
What is the nearest to 21 in -5/4, 9147/14, -5?
-5/4
What is the closest to 1 in -2/3, 0.06, 22/169, -4?
22/169
Which is the nearest to 2? (a) -2/5 (b) -42408 (c) 8/17
c
Which is the closest to -0.67? (a) 0.1 (b) -2/15 (c) 2/999 (d) -1/2
d
What is the closest to 0 in -3, -131, 2/7, 38, -118?
2/7
Which is the closest to 1? (a) -0.5 (b) 0.2 (c) 4/3 (d) 3 (e) 40 (f) -0.0519
c
Which is the closest to -3/5? (a) -3 (b) -14285 (c) 1 (d) -1/3
d
Which is the nearest to 5? (a) -3 (b) 290.6 (c) -29
a
Which is the closest to -0.143? (a) -3/8 (b) 1 (c) 0.27 (d) 4/63 (e) -11
d
Which is the nearest to -0.1? (a) 1/2 (b) 5068 (c) -2 (d) 3/530
d
What is the closest to 0 in 2, 7, 0, -119, 876?
0
Which is the closest to 6? (a) 9.015 (b) 14/15 (c) -0.02
a
Which is the nearest to -7? (a) 2730.9 (b) -0.3 (c) 1.2
b
What is the closest to 23695 in -20, 3/7, 3/2, 5?
5
What is the nearest to 2 in -12, -934, 1, 42?
1
What is the nearest to -4 in -5, 1/2, -2/45, -2/5, 432?
-5
What is the nearest to -209 in -77, 1/3, -0.4, -2/3, 0.5?
-77
What is the nearest to 2/7 in 0.08, 126/17, 14, 2/3, 2?
0.08
What is the nearest to -15 in -1/4, -3/4, -294.9, 3, -0.2, 1/2?
-3/4
What is the closest to 4/3 in -2.49, -147, 1/4?
1/4
Which is the nearest to 0.5? (a) 5 (b) -53.74 (c) -1/4 (d) 0.4 (e) 0.1
d
What is the closest to -7/80 in 0.0278, 2, 5?
0.0278
Which is the closest to -1? (a) 4 (b) -2/11 (c) -21 (d) -0.2 (e) -26 (f) -0.92
f
Which is the nearest to 14.72? (a) -12 (b) 0.1 (c) -2/23 (d) -1 (e) 16.1
e
Which is the nearest to 2? (a) 0.3 (b) -4 (c) -2/3 (d) 2/5 (e) -16 (f) 632/3
d
What is the nearest to -0.1 in -12.2, -5, -2/9, -14, 2/393, -2/23?
-2/23
What is the nearest to 266 in 60, 3, 0.2, -8/7, -1?
60
What is the closest to 2 in 29, -3, -342, -2, 9?
-2
Which is the nearest to -1? (a) 78 (b) 106 (c) 4 (d) 2 (e) 2/9
e
Which is the nearest to 2032454? (a) 10 (b) -1/6 (c) 4/7 (d) -0.4
a
What is the closest to 0.1 in -5, 2.33, 21571?
2.33
Which is the closest to -2/7? (a) 2 (b) -1/4 (c) -502 (d) -1516 (e) 0.5
b
Which is the closest to 0.2? (a) -2 (b) -2/7 (c) -12/5 (d) -170/7 (e) 4
b
What is the closest to -0.062 in -0.053, -181, -5, 2?
-0.053
What is the nearest to 2476358 in -0.2, -2/7, -0.6?
-0.2
What is the nearest to 0 in 27656/11, -0.01, 0.1, 0.2, 5?
-0.01
Which is the nearest to -1/3? (a) 0.5 (b) 22 (c) 1 (d) -125/9
a
Which is the nearest to 2/3? (a) -0.041 (b) 0.1 (c) 0 (d) 5/4 (e) 0.2
e
What is the closest to -1 in -1, 1592625, -4?
-1
Which is the closest to 2? (a) -0.1 (b) -402 (c) 33/65
c
What is the closest to -63 in 13.2, -4, 48?
-4
Which is the closest to 171? (a) -0.1 (b) -5 (c) -245666
a
Which is the nearest to -4? (a) -13 (b) -2/11 (c) 9 (d) -1/3 (e) -1/2
e
Which is the nearest to 2/9? (a) -3 (b) -2/7 (c) 3 (d) -5/17 (e) -2/9
e
Which is the closest to 4/7? (a) 5 (b) 2/11 (c) 5347 (d) -0.4 (e) 0.5
e
Which is the nearest to 0.2? (a) 3/4 (b) 0.04 (c) -0.3 (d) 0.3 (e) 0.64
d
Which is the closest to -2? (a) 2/4095 (b) -5 (c) 1064 (d) 4
a
Which is the nearest to -123? (a) -0.201 (b) 6 (c) 2/23
a
What is the nearest to 2/9 in 2, 0, 17/6784?
17/6784
What is the closest to 44 in -1/2, -0.2, 1/17839, -2?
1/17839
What is the closest to 1/3 in 0.7, -4, -51, -59, 1/5, 2?
1/5
Which is the nearest to 16? (a) 14.83 (b) 0.6 (c) -1/3
a
Which is the nearest to -5? (a) 0.01 (b) -152 (c) 0.4 (d) 3/5 (e) 1/2 (f) -9/5
f
What is the nearest to -0.3 in -2/19, 3348, -21?
-2/19
What is the closest to 2/23037 in 4/3, -2/147, 2, 0.1?
-2/147
Which is the closest to -1/3? (a) 0 (b) 4/19 (c) 87 (d) 2/13
a
What is the closest to -9 in -4, 0, 12, 266.5?
-4
What is the closest to -0.1 in 1/9, -1020, 2.905?
1/9
What is the closest to -0.1 in 5, -5, 4/3, -222, 584?
4/3
What is the closest to -2201 in 0.32, 2/7, -449?
-449
Which is the nearest to 0.1? (a) 1/4 (b) -0.02 (c) -2.3 (d) 0.2 (e) 0.05 (f) -23
e
What is the nearest to 2 in -0.0826, 2, 4, 2/3, -5, -0.042?
2
Which is the closest to 1/2? (a) 0.2 (b) -0.02 (c) -5 (d) -16.3
a
Which is the nearest to -2/7? (a) 11751 (b) -0.3 (c) 2/7 (d) -1 (e) 3
b
Which is the nearest to -5/3? (a) -1/6 (b) -2.2 (c) 5322 (d) -0.3
b
Which is the closest to 1/26? (a) -0.131 (b) -2/7 (c) -2/17
c
Which is the nearest to 0? (a) -1047 (b) 81 (c) 8 (d) 0.1 (e) -2/5
d
Which is the neares | {
"pile_set_name": "DM Mathematics"
} |
+ 18/4. Suppose -n*v = -3 - 1, -5*v + 62 = c. What is the remainder when c is divided by 20?
17
Suppose 3*v - 4*g = 11 + 5, -3*v + 2*g + 8 = 0. Suppose -5*x + h + 368 = v, 5*x = 2*h + 193 + 173. Calculate the remainder when x is divided by 19.
17
Suppose -4*o - 4*z - 104 = -6*o, z = 0. Let x(y) = 6*y + 252. What is the remainder when o is divided by x(-39)?
16
Let s = -4 - -6. Suppose 16 + 6 = s*d. Suppose -4*f + 69 = 3*u, 0 = -3*u - f + 40 + 20. What is the remainder when u is divided by d?
8
Let d(u) = 3*u**3 - 3*u**2 + 5*u - 4. Calculate the remainder when d(3) is divided by ((-153)/(-9) - 18)*(-34 - 0).
31
Let c = 23 + -28. Let b = 12 + c. What is the remainder when b is divided by 5?
2
Let v = -51 - -56. Suppose 3*s = 3*b + 240, -5*b + 3*b = -v*s + 415. Calculate the remainder when s is divided by 33/(-2)*8/(-6).
19
Let o be (-206)/2 + 2 + -7. Let j = -104 - o. What is the remainder when 11 is divided by j?
3
Let x(q) = q + 8. Suppose 5*c - 5*n = 125, -55 = 3*c - 6*c - n. Let u be (-1)/(1 - 22/c). Calculate the remainder when 52 is divided by x(u).
16
Let s be 2*(27/(-6))/9. Suppose o + 280 = -4*o. What is the remainder when 35 is divided by s/(4/o) + -2?
11
Let c(k) = -k**3 + 3*k**2 + 183*k + 41. Let r(l) = -4*l - 3. Calculate the remainder when r(-6) is divided by c(-12).
1
Let p = 524 - 492. Calculate the remainder when 79 is divided by p.
15
Suppose -25*m + 20*m = 220. Let t be m/(-6)*(-4 + 7). Suppose t = 3*g - 8. Calculate the remainder when 39 is divided by g.
9
Suppose 0*x = 4*v - 4*x, -v = -4*x + 3. Let w = v - -2. Calculate the remainder when w is divided by 0 - 22/11 - (0 + -4).
1
Let s be 16/(-20) + (-2)/10. Let v = 9 - s. Suppose -m = 5*i + v, -m = -3*i + 2*i - 8. Calculate the remainder when 17 is divided by m.
2
Suppose 222 = 239*h - 236*h. Calculate the remainder when h is divided by 13.
9
Let w be (-3 + 24)*(-15)/(-9). Suppose 0 = -4*p + 4*x + 48, 4*x = 3*p - 0*p - w. What is the remainder when (22/(-77))/((-1)/77) - 1 is divided by p?
8
Let k(n) = -n**2 + 14*n - 8. Let m be k(13). Suppose m*y = -y + 396. What is the remainder when y is divided by 17?
15
Suppose 0 = 20*o - 19*o - 64. Calculate the remainder when o is divided by 28.
8
Suppose 2*f + 11 = 19. Suppose 6*c = f*c + o + 293, 442 = 3*c - o. What is the remainder when c is divided by 30?
29
Suppose 206*k - 18 = 200*k. Calculate the remainder when 8 is divided by k.
2
Suppose 3*o - 112 = z, -13 = -5*o + 4*z + 176. What is the remainder when 62 is divided by o?
25
Let l be 63 - (-2 - 0 - 2). Let f = l + -13. What is the remainder when f is divided by 15?
9
Suppose 98 = h + 13. Calculate the remainder when 337 is divided by h.
82
Suppose -k = 3*b - 52, 0 = b + k - 9 - 11. What is the remainder when 3222/42 - 10/(-35) is divided by b?
13
Suppose -x + 35 = 5*l + 4*x, -5*x = -l + 13. Suppose -4*g = -y - 3*y - 20, 0 = g + 3. What is the remainder when (828/y)/9*-2 is divided by l?
7
Let m = -14 + 7. What is the remainder when 32 is divided by m/(2 + (-4 - -1))?
4
Let q = 41 - 13. Let g(z) = z**3 + 12*z**2 + 26*z + 68. What is the remainder when q is divided by g(-10)?
4
Let x(z) = -z**3 + 4*z**2 + 4*z + 7. Let c be x(5). What is the remainder when 13 - (-1 - -5)/c is divided by (-3)/(-4) - 84/(-16)?
5
Suppose 3*x + 2*v - 41 = 0, -5*x + 47 = 4*v - 24. Let u = x - -15. What is the remainder when u is divided by 7?
5
Let a = -92 + 93. Let w = a - -24. What is the remainder when w is divided by 10?
5
Suppose 19*v - 3616 - 716 = 0. Calculate the remainder when v is divided by 95.
38
Let h = -4 - -11. Let n = -12 + 16. Let y = 7 + n. What is the remainder when y is divided by h?
4
Suppose 0 = 4*l - 2*v - 88, 4*l - 6*v - 88 = -v. What is the remainder when l is divided by ((-12)/(-14))/(2/14)?
4
Let n(c) = -c**3 + 8*c**2 - 9*c + 1. Calculate the remainder when 113 is divided by n(6).
18
Let d = 1911 - 1829. What is the remainder when d is divided by 23?
13
Let v = -1568 + 1728. Calculate the remainder when v is divided by 56.
48
What is the remainder when 5 + 2*((-450)/(-12) + -4) is divided by 48?
24
Let p(i) = 16*i**2 + 2*i + 1. Let h(x) = 5*x**2 - 3*x + 3. Suppose -9 = d + 2*d. What is the remainder when h(d) is divided by p(-1)?
12
Let o be -1 - 1/(-4) - 1255/(-20). Let y = o + -49. What is the remainder when y is divided by 7?
6
Let a(t) be the third derivative of t**5/2 - 5*t**4/24 - 2*t**3/3 - 42*t**2. Calculate the remainder when 91 is divided by a(-1).
29
Let d = -2743 - -3064. What is the remainder when d is divided by 12?
9
Let k(i) = -59*i**3 + i**2 + i + 1. Let v be k(-1). Suppose 20 = -0*b - 5*b, 4*f - 5*b = v. What is the remainder when 16 is divided by f?
6
Suppose 4*n = 2*l - 18, -5*n - 17 + 2 = -5*l. Let a = 5 - n. Calculate the remainder when a is divided by 3.
2
Let y be (-9)/(-21) - 1/((-7)/(-59)). Let m = y - -30. Calculate the remainder when 63 is divided by m.
19
Suppose -3*p = 2*n - 137, -5*n + 184 = 2*p - 131. Calculate the remainder when 176 is divided by n.
54
Let r(v) = 6*v - 211. Calculate the remainder when 181 is divided by r(39).
20
What is the remainder when 457/2 + 21/(-14) is divided by 46?
43
Suppose -4580 = -22*o - 92. Calculate the remainder when o is divided by 44.
28
Suppose -2*l - 2*q = 6, 2*q + 3 = 5*l + 18. Calculate the remainder when 1*(58/l)/(18/(-27)) is divided by 10.
9
Let z be 6 - (-1 + 12/3)*1. What is the remainder when z/(-2)*4/3*-17 is divided by (-10)/1*(-12)/10?
10
Let n(p) = p**2 + 21*p - 9. Let s be n(-15). Let v = -65 - s. What is the remainder when v is divided by 9?
7
Suppose 55 = c + 4*c. What is the remainder when (-2)/(-9) + (-367)/(-9) is divided by c?
8
Let p = 1214 - 1152. Calculate the remainder when 1424 is divided by p.
60
Let v = 85 + -50. What is the remainder when v is divided by (45/5 - 1 - (-5 - 8)) + -1?
15
Suppose 0 = -k - 2*s - 4, 4*k + s = -2*s - 36. Let d = 11 + k. Calculate the remainder when 7 is divided by 4 + d + 8/4.
2
Calculate the remainder when (9 - 2 - 3)*(31 - 4) is divided by 19.
13
Let s(v) be the third derivative of 0*v + 0 - 5*v**2 + 1/24*v**4 + 0*v**3. Calculate the remainder when s(7) is divided by 3.
1
Suppose -3*k = 2*k - 155. What is the remainder when (204 + -1)*(-14)/(-49) is divided by k?
27
Let p = 8 - -43. Suppose -4*q = -18*q + 182. Calculate the remainder when p is divided by q.
12
Let g be 3/(-6) + 705/10. Let q be (2 - 8/6)*3. Suppose 2*v + q*i - g = -2*i, 5*v = -i + 166. What is the remainder when v is divided by 9?
6
Suppose -5*i = -n + 89, 0 = -4*n - 4*i - 142 + 402. What is the remainder when 217 is divided by n?
10
Let b(t) = -21*t + 190. Calculate the remainder when 43 is divided by b(8).
21
Calculate the remainder when ((-1431)/(-81))/((-1)/(-9)*3) is divided by 43.
10
Let w = 551 + -428. What is the remainder when w is divided by 21?
18
Let y = -98 + 68. Let u(j) = -j**3 - 7*j**2 - 2*j - 7. Calculate the remainder when 14/(-105) - 604/y is divided by u(-7).
6
Let t(j) = -j**3 - 57*j**2 + 56*j - 92. Calculate the remainder when 98 is divided by t(-58).
2
Let q(h) = -4 - 165*h**3 + 3 + 2*h + 171*h**3. Let c(v) = v**2 + 5*v + 3. What is the remainder when q(1) is divided by c(-5)?
1
Suppose -24 = 4*y - 6*y. Let v = 758 + -712. What is the remainder when v is divided by y?
10
Let u be ((-2)/3)/(10/45). Let k = u - -27. What is the remainder when 93 is divided by k?
21
Suppose 11*c - 7*c - 226 = -2*w, 2*c + 4*w = 122. What is the remainder when c is divided by 19?
17
Let p(s) = s**3 - 15*s**2 + 17*s + 6. Let u be p(14). Suppose 4*j - 255 = -7. What is the remainder when j is divided by (16/u)/((-2)/(-96))?
14
Let m = -45 + 48. Let r(f) = 2*f**3 - f**2 + 2*f - 6. Calculate the remainder when r(m) is divided by 16.
13
Suppose -1519 = -38*h + 4181. What is the remainder when 438 is divided by h?
138
Let j be (-4)/3 + (-76)/(-12). Suppose -k = -2*f + 14, -4 = j*f - 3*f. What is the remainder when (-7 + 8)/((-2)/k) is divided by 5?
4
Let f(g) = g**2 - g + 1. Let h be 1*12/(-8)*4. Calculate the remainder when f(h) is divided by 11.
10
Let o = 19 + -7. Suppose -4*x - a = -2*a - 25, 2*x = -5*a + 29. Calculate the remainder when (22/4)/(x/42) is divided by o.
9
Let v be (-4 + 2)*(-1)/2. Suppose -v = -0*d + 3*d + k, k - 15 = 5*d. What is the remainder when (5 + -2)*(-2)/d | {
"pile_set_name": "DM Mathematics"
} |
form k*w**3 + f*w**2 + a + j*w and give j.
-2
Rearrange s**3 + 65*s**2 - 2 + 3*s**4 - 4*s**4 - 6*s - 67*s**2 to h + z*s**2 + n*s + f*s**3 + q*s**4 and give n.
-6
Express (-1 + u**2 + 1)*(4 - 12 + 0)*(5*u**2 - 3*u**2 + 4*u**2) in the form m*u**2 + t + x*u**4 + l*u + v*u**3 and give x.
-48
Rearrange 240 - 7*b + 11*b - b to the form j*b + o and give o.
240
Rearrange -91*t**4 - 54 - 89*t**4 - 3*t + 3*t - 2*t**2 + 176*t**4 to the form p*t**4 + y*t**3 + m*t**2 + x + z*t and give z.
0
Rearrange (k**4 - 4*k + 4*k)*(2 - 1 - 20)*(3 - 3 - 9) to x*k + p*k**2 + r*k**3 + l*k**4 + m and give l.
171
Rearrange -3*j**3 + 2 - j**3 + 74*j**4 + 3*j**3 + 5*j - 75*j**4 + 2 - j**2 to the form q + o*j + l*j**4 + t*j**3 + f*j**2 and give t.
-1
Express -l - 12 + 1 + 5 + (-3 + 2 + 0)*(3*l + l - 3*l) - 3*l + 3*l + 4*l as d*l + v and give d.
2
Express -20*i - 7*i**2 - i**2 - 15 + 4 + 9 in the form k*i + g + q*i**2 and give g.
-2
Express -q + 187 - 376 - 1658*q**3 + 189 as r + d*q**3 + a*q + w*q**2 and give a.
-1
Express (-79 + 25 + 147)*(-42 + 42 + 2*k)*(2*k**3 - 2*k**3 + k**3) in the form f*k**4 + u*k**3 + h*k + v*k**2 + b and give u.
0
Rearrange (6 - 3 - 8)*(6*h - 329*h**2 + 341*h**2 - 17*h) to w + m*h**2 + r*h and give m.
-60
Express (-11 + 13*b**3 + 11)*(12*b + b + 13*b) in the form j*b + m + o*b**2 + k*b**4 + u*b**3 and give m.
0
Rearrange -2*b + 8*b**3 - 3*b**3 - 2 - 838*b**2 + 838*b**2 to v*b**3 + c*b**2 + n + m*b and give n.
-2
Express (-3*n - 10 + 10)*(-29 + 0 - 4)*(3*n - 5*n + 8*n) in the form s + j*n**2 + m*n and give j.
594
Rearrange (-96*o - 324 + 324)*(19 - 7 + 15) to k*o + b and give k.
-2592
Rearrange -41 + 17 - 1496*i**2 + 9 + 13 to d*i + f + q*i**2 and give f.
-2
Rearrange (-169 + 57 - 103)*(5*u - u - u)*((1 + 1 - 1)*(-u + 3*u + 0*u) - u + 4*u - 2*u) to y*u**2 + j + z*u and give y.
-1935
Express x - x - 2*x + (1 + 1 - 1)*(2 - 2 + 2*x) - 2*x - 2*x + 3*x - 2*x + 0*x + 6*x + (-4*x + 6*x - x)*(-1 - 2 + 6) + 2*x + 0*x + 2*x as a*x + s and give a.
10
Rearrange -203*l - 2*l**2 - 3*l**3 + 5*l**4 + 205*l + 4*l**2 to the form v*l**3 + o*l + m + t*l**2 + p*l**4 and give o.
2
Rearrange 295*o**4 + 3*o**3 + 5*o**2 + 2*o**3 - 7*o**3 - 293*o**4 - 16 to the form x*o**3 + c*o**4 + g + a*o**2 + z*o and give z.
0
Rearrange 17*g - 42 + 18*g - 37*g to y + n*g and give y.
-42
Express -5*j**3 + 6*j**3 + 2 + 5 + 2*j**2 + (1 + j - 1)*(-2 + 2 + 2*j)*(20 - 20 - 21*j) as k*j + r*j**2 + c + n*j**3 and give c.
7
Express 48*r**2 + 28*r**2 + 13*r**2 - 7*r - 46*r**2 + 20*r**2 in the form j*r**2 + f*r + i and give j.
63
Rearrange (-3 + 3 - 2)*(3*d - 6*d + d) - d - 3*d + 5*d - 4*d + 22 - 22 - 4*d + 4*d - 2*d + (-4 + 0 + 3)*(0 - 4*d + 0) to f*d + g and give f.
3
Express (3*y + 3 - 3)*(198*y + 41*y**2 - 198*y)*(y + 2*y - 4*y) in the form n*y**2 + z*y**4 + u*y**3 + b + l*y and give z.
-123
Rearrange (1264*r + 236770 - 236770)*(2*r - 5*r + 0*r) to the form g*r + a*r**2 + u and give u.
0
Rearrange -25*c + c**3 + 4*c**2 + 22*c - 2*c**4 + 4*c**2 + (-13*c**3 - 4*c**3 + c**3)*(2*c - 1 + 1) to the form v*c**4 + m + l*c**2 + t*c**3 + q*c and give m.
0
Express -2 - 16*v**4 - 18*v**3 + 8*v**4 + 22*v**3 + 3*v**2 in the form k*v**2 + c + p*v**3 + u*v**4 + t*v and give c.
-2
Rearrange -2*m**4 - 8*m**3 + 7*m**3 - 2 - 3*m + 33*m**2 + 3 - 3 to the form t*m**2 + a*m**3 + q*m + x + g*m**4 and give t.
33
Express (54*l**2 - 30*l**2 + 1 - 8*l - 27*l**2)*(-1 + 3 - 9) in the form f + k*l**2 + g*l and give f.
-7
Rearrange (-18*z - 76*z + 27*z - 3)*(3*z**2 - z**2 - 3*z**2) to x*z**2 + h*z + i*z**3 + u and give x.
3
Express -4042*c + 2*c**3 + 1 - 1 - c**2 - 2*c**4 + 4016*c in the form y*c + a*c**2 + q*c**3 + l + d*c**4 and give a.
-1
Express (-2*y + 3*y + 3*y - 2*y)*((0 + 0 + 3)*(1 - 1 - 4*y) - 9*y - 33*y - 2*y) as r*y**2 + f + o*y and give r.
-112
Express -6*b**2 + 11*b - 11*b - 44*b**2 in the form w + l*b**2 + u*b and give l.
-50
Express 226597*h - 226597*h - 190*h**2 as w + q*h + t*h**2 and give t.
-190
Rearrange 12*r - 8*r - 282 - 3*r to the form w*r + x and give w.
1
Express (-5*k - 2*k + 5*k)*(1304*k - 14543 + 14543) as i + w*k**2 + s*k and give w.
-2608
Rearrange (-2*o**2 + 3*o**2 + o**2)*(-2 + 5 - 2) - 3*o**2 + 2*o - 2*o + 322*o**2 + 649 - 649 to the form b*o**2 + l + g*o and give g.
0
Express -p**3 - 2 + 2 + (-13*p**2 + 9*p**2 + 17*p**2)*(2*p - 2*p + 8*p) + (-5 - p**3 + 5)*(0 - 7 + 3) in the form h*p**2 + c*p + b + l*p**3 and give l.
107
Express -4982*j**2 + 4982*j**2 + 10 - 74*j**3 + 3*j - 3*j as q + k*j + d*j**3 + h*j**2 and give q.
10
Express 29 - 19 - 5 - 1853*o**2 - 5 in the form r + c*o**2 + s*o and give c.
-1853
Express -11*y + y**2 + 1 + 11*y + (3*y**2 - 2*y + 2*y)*(5 - 2 - 2) + (6 - 6 - 2*y)*(-y - y + 0*y) as r*y**2 + d + v*y and give d.
1
Rearrange -278*l**2 + 573*l**2 - 271*l**2 - 2*l to n + b*l**2 + a*l and give b.
24
Express 8 + 5 - 4*x + 0*x + 4 in the form b*x + g and give b.
-4
Rearrange (0 + 0 - 2 + (0 + 0 + 2)*(-1 - 2 - 2) - 1 + 3 - 3 - 1 + 1 + 2)*(-h + h - h**2 - 8) to o + u*h + i*h**2 and give o.
88
Rearrange (186*c**2 - 29*c**2 + 3*c**2)*(2*c - c + 3*c) to the form y + b*c**3 + f*c + m*c**2 and give b.
640
Rearrange (-1 + 4 - 4)*(3*u**2 - 3*u**2 - 2*u**2)*(39661 - 1040*u + 349*u - 39659) to the form o*u**2 + i*u**3 + m*u + w and give i.
-1382
Express -35*u**2 - 32*u**2 - 2*u**3 - 2*u + 4*u**2 - 34*u**2 in the form l + p*u + c*u**2 + a*u**3 and give p.
-2
Express -33 + 11*f + 53 - 21*f + 14*f as a*f + y and give y.
20
Express 7*k - 3*k**3 - 196*k - 10*k as z*k**2 + g*k + x*k**3 + h and give g.
-199
Rearrange (3*c - 4*c + 3*c)*(5 - 1 - 1) + 2*c - 2*c + c - 315*c + 36*c - 44*c to h + k*c and give k.
-316
Express (59*n**2 - 12*n**2 + 2 - 268*n**2)*(n + n + 0*n) in the form h*n + b*n**3 + f + p*n**2 and give h.
4
Express (0 - 5 + 0)*(-22*s - s - 31*s) as p*s + r and give p.
270
Rearrange (4 - 1 + 1)*(-a + 1 - 1)*(-85 - 7 + 10) to the form i + q*a and give q.
328
Express -24*z - 6*z**4 + 41*z - 21*z - 1 in the form x*z**4 + o*z**2 + t*z**3 + v + m*z and give m.
-4
Express (1 - 1 + 29*t + (1 - 6 + 4)*(2*t + t - 2*t) + 0*t + 2*t - 3*t)*(66 - 35 - 56) in the form i + q*t and give q.
-675
Express -3*o - 10*o + 14*o - 57 as x*o + w and give w.
-57
Rearrange (3*z - z - 3*z + 1)*(-11 + 0 - 99) to the form q + g*z and give q.
-110
Rearrange (2*l**2 - 7*l**2 + 3*l**2)*(-649 - 1364 - 573) to j*l + t + f*l**2 and give f.
5172
Express z - 4*z + z + (109*z + 100*z - 19*z)*(2 - 4 + 1) in the form m*z + y and give y.
0
Express -40 - 41 + 120 - w**2 - 39 + 4*w**3 + 2*w as b*w**3 + j*w + v + d*w**2 and give j.
2
Express 10*x**3 - 31*x**3 + 16*x**3 + 2*x**2 - x**4 + 4 + 6*x**3 - 5 as w*x + g*x**2 + f*x**3 + p + i*x**4 and give i.
-1
Rearrange -28*o - 21 + 31*o + 35*o + 15 to h + j*o and give h.
-6
Rearrange -x**4 + 0*x - 2*x**4 + 2*x + 1065 - 1092 to the form k*x**3 + d*x**2 + i*x + g + f*x**4 and give i.
2
Rearrange 194*b**2 + 25*b - 5*b + 0*b - 5*b - 4 - 14*b to o*b**2 + j*b + s and give o.
194
Express (638*l - 81*l + 728*l)*(3*l**3 + 0*l**3 - 5*l**3) in the form f*l**2 + j*l + c*l**3 + q*l**4 + w and give q.
-2570
Express -9*a + 7*a - 8*a**3 + 12 + a**4 - 14 as t*a**3 + x*a**4 + b*a**2 + v + w*a and give v.
-2
Express (-q - 2*q - 6*q)*(-2 + 3 + 0) - 5 - 68*q + 5 + 1 as l + z*q and give z.
-77
Rearrange -20 + 19*k + 14 - 10*k - 3*k to g*k + m and give g.
6
Rearrange 3*n + 253*n**3 + 2 - 254*n**3 - 4*n to r*n + a*n**2 + i*n**3 + b and give i.
-1
Rearrange -126*v**3 + 42*v**3 - 114*v**3 + (3*v + 0*v - 2*v)*(-2*v**2 + 0*v**2 + 4*v**2) + 0*v**3 + 3*v**3 + 2*v**3 to d + c*v**3 + b*v**2 + n*v and give c.
-191
Rearrange 289 - 289 + 5*o - 19*o**3 + (2 - 2 - 2*o**2)*(2*o + 0 + 0) to a*o + s*o**3 + f*o**2 + c and give s.
-23
Rearrange (2 - 2 + 4*k)*(-4 + 2 - 1) - 7*k - k - k to x + c*k and give c.
-21
Express -6*u + 2*u - 4*u + 198 - 17*u - 198 + (-3 + 4 + 1)*(-2 + 2 + 2*u) + 0*u + 2*u - 4*u in the form g + y*u and give y.
-23
Rearrange -3361 - 6*u - 2368 + 7782 - 3157 + (4*u + 0*u - 3*u)*(1 + 1 - 3) to the form a*u + z and give z.
-1104
Rearrange (-1 + 3 - 5)*(-22*j + 4*j + 8*j)*(2*j**2 + 3*j - 3*j)*(3*j - 3*j - j) to the form t*j**4 + l*j**3 + k + g*j + z*j**2 and give t.
-60
Rearrange (6*a - 4*a + 6*a)*(-296 + 38*a + 296 + 108*a) to the form u*a + w*a**2 + y and give w.
1168
Express 1 - 11 - 1 + 11 - 3018*v as z | {
"pile_set_name": "DM Mathematics"
} |
*p. Let y(a) = -29*a. Let m(z) = 5*f(z) + 124*y(z). Let t(w) = 7*w + 6. Let n(h) = -20*h - 17. Let d(q) = 6*n(q) + 17*t(q). Give m(d(c)).
31*c
Let r(q) = q - 27. Let l(n) = -14. Let j(t) = -5*l(t) + 3*r(t). Let b be j(5). Let a(i) = -b - 3*i**2 + 4 + 4*i**2. Let o(z) = -2*z. Calculate a(o(y)).
4*y**2
Let u(a) be the first derivative of -a**3/3 - 14*a - 29. Let v(r) be the first derivative of u(r). Let l(j) = 71*j**2. What is l(v(k))?
284*k**2
Let c(x) = 7*x**2 - 4. Let d(i) = 24*i**2 + 1. Give c(d(o)).
4032*o**4 + 336*o**2 + 3
Let j(n) = -n. Let c(y) = 512773*y**2. Determine j(c(k)).
-512773*k**2
Let f(i) = 4599*i. Let d(c) = -3*c + 2. What is f(d(t))?
-13797*t + 9198
Let x(i) = -15*i. Let w(v) = -4*v**2 + 85*v. What is x(w(n))?
60*n**2 - 1275*n
Suppose -5*b - 7 = -3*a + 4, -5*a - b = -9. Let h(m) = -16*m**a - m + m + 15*m**2. Let t(n) = 10*n. Determine t(h(u)).
-10*u**2
Suppose 6*y - 2 - 10 = 0. Let q(g) = 13*g**y - 29*g + 29*g. Let p(i) = -i. Let n(j) = -2*j. Let m(o) = 4*n(o) - 7*p(o). Give q(m(d)).
13*d**2
Let a(j) = 72*j**2. Let d(i) = -i + 2. Let r(y) = 2*y**2 + 3*y - 6. Let s(b) = -3*d(b) - r(b). Calculate a(s(n)).
288*n**4
Let w(x) = 3*x. Let c(f) = -113683*f. Determine c(w(l)).
-341049*l
Let k = 21 - 19. Let c(p) = 4*p**k + p**2 - 7*p**2. Let d(g) = -6*g**2. Calculate c(d(n)).
-72*n**4
Let h(r) be the first derivative of -2*r**3 - 1. Let q(v) = 117*v - 118*v + 19 - 19. Calculate h(q(d)).
-6*d**2
Let r(t) = -3*t. Let n(f) = 5*f. Let c(b) = -2*n(b) - 5*r(b). Let s(j) = -10*j. Calculate c(s(z)).
-50*z
Let o(r) be the third derivative of -r**5/60 - 2*r**2. Let k(m) = 0 - 1 + 5*m - 4*m. Let q(b) = -4. Let g(u) = -4*k(u) + q(u). Calculate g(o(l)).
4*l**2
Let b(l) = 18*l**2 + 4*l + 4. Let v(o) = -40*o**2 - 9*o - 9. Let m(u) = 9*b(u) + 4*v(u). Let q(k) = 73*k**2 - 28*k**2 + 20*k**2. What is m(q(i))?
8450*i**4
Let n(d) = 9*d**2 + 8*d + 4. Let m(r) = -100*r**2 - 90*r - 45. Let a(w) = -4*m(w) - 45*n(w). Let s(v) = -13*v**2. Give a(s(l)).
-845*l**4
Let r(q) = 246*q. Let i(g) = 7*g - 48. Calculate i(r(h)).
1722*h - 48
Let f(n) = -3*n**2. Let x(z) = -746388*z + 746388*z + 11*z**2. Determine x(f(h)).
99*h**4
Let u(k) = 14*k. Let b(l) = 38*l**2 - 71*l**2 + 42*l**2. Determine b(u(r)).
1764*r**2
Let w = 425 + -422. Let a(p) be the second derivative of 0 + 0*p**2 - 7/6*p**w + 9*p. Let t(m) = -m. What is a(t(j))?
7*j
Let f(r) be the third derivative of -r**5/30 - 8*r**2 - 3*r. Let t(q) = -101*q. Calculate f(t(h)).
-20402*h**2
Let j(s) = 0 - 6*s + 0 - 10*s + 17*s. Let k(b) = -81*b**2. Give j(k(u)).
-81*u**2
Let z(w) = -3 + 3 + w + w. Let q(j) = 8*j**2 + 13. What is z(q(t))?
16*t**2 + 26
Let j(o) = 26*o. Let w(d) = -31480*d. What is j(w(a))?
-818480*a
Let x(a) = -2*a**2. Let u(c) = -13*c - 18*c + 76*c - 27*c. Calculate u(x(v)).
-36*v**2
Suppose 2*k + k = 12. Let r(q) = 5*q + 7*q - 10*q - k*q. Let i(d) = 14*d**2. Determine r(i(t)).
-28*t**2
Let x(w) = -57*w. Let q(u) = -8*u**2 + 4*u - 8. Let o(d) = d**2 - d + 2. Let k(m) = 4*o(m) + q(m). Calculate x(k(h)).
228*h**2
Let c(g) = -7 + 7 + 50*g**2 - 47*g**2. Let b = 24 - 17. Let q(m) = b*m**2 - 7*m + 7*m. Determine q(c(a)).
63*a**4
Let j(u) = 36*u + 96. Let d(f) = 7*f + 20. Let b(r) = 24*d(r) - 5*j(r). Let o(c) = 6*c**2. Determine o(b(k)).
864*k**2
Let m(t) = -78695*t**2. Let o(r) = r. Calculate m(o(v)).
-78695*v**2
Let f(h) = -10*h + 3. Let d(c) be the second derivative of -c**4/4 + 39*c. Determine f(d(m)).
30*m**2 + 3
Let w(z) = -2*z + z + z - 5*z. Let o(i) be the third derivative of 0*i**3 - i**2 + 1/24*i**4 + 0*i + 0. What is w(o(v))?
-5*v
Let u be (1/2)/((-4)/(-16)). Let d(c) = -7*c**u + 28*c**2 - 11*c**2 - 9*c**2. Let q(f) = 4 - 4 - 3*f. Calculate d(q(n)).
9*n**2
Let x(l) = 2*l. Let i(j) be the third derivative of 97*j**5/60 - 140*j**2 + 2*j. What is x(i(k))?
194*k**2
Let c(b) = 2*b**2. Let i(y) = -59339*y**2. Give c(i(o)).
7042233842*o**4
Let i(k) = 152*k**2 - 18. Let c(j) = 217*j. Calculate c(i(t)).
32984*t**2 - 3906
Let l(w) = w**2 - 210*w + 15. Let f(o) = -3*o**2. Determine l(f(z)).
9*z**4 + 630*z**2 + 15
Let z(y) = y. Let f(v) be the second derivative of -v**3/3 + 3*v**2/2 - 28*v. Let w(s) = -s + 1. Let q(t) = 5*f(t) - 15*w(t). What is q(z(k))?
5*k
Let a(p) = p**3 + 8*p**2 + p + 16. Let l be a(-8). Let x(r) = 13*r + 5. Let f(c) = 20*c + 8. Let u(v) = l*x(v) - 5*f(v). Let y(j) = 3*j**2. What is y(u(g))?
48*g**2
Let n(u) = 2*u + 1132. Let r(i) = -9*i**2 + 4*i. Give r(n(o)).
-36*o**2 - 40744*o - 11528288
Let b(v) be the first derivative of 26*v**3 - 20. Let h(p) = 3*p. Calculate h(b(j)).
234*j**2
Let x(q) be the second derivative of -17*q + 0*q**3 + 11/12*q**4 + 0*q**2 + 0. Let w(c) = -8*c. Determine x(w(y)).
704*y**2
Let g(v) = -3*v. Let t(y) be the second derivative of 0*y**2 + 14*y + 0*y**3 - 1/12*y**4 + 0. Give t(g(j)).
-9*j**2
Let y(l) = -4*l**2. Let o(s) be the third derivative of 1/30*s**5 + 0*s + 9*s**2 + 0 + 0*s**3 + 0*s**4. Determine y(o(j)).
-16*j**4
Let b(h) = -10*h + 7. Let o(d) = 7*d - 5. Let v(x) = 5*b(x) + 7*o(x). Suppose -2*p - 99 = -3*a + 71, -5*p = -2*a + 117. Let y(l) = -l + a - 56. Give y(v(m)).
m
Let x(s) = 2*s. Let k(u) = 10*u - 7. Let d(y) be the third derivative of 7*y**4/24 - 5*y**3/6 + 7*y**2. Let h(w) = -7*d(w) + 5*k(w). Give x(h(n)).
2*n
Let u(f) = -4*f. Let y(h) = 53848*h**2. Determine u(y(c)).
-215392*c**2
Let y(c) be the second derivative of 5*c**4/3 + c. Let u(o) be the first derivative of -o - 37. Let d(g) = -g - 2. Let r(l) = -d(l) + 2*u(l). Give y(r(a)).
20*a**2
Suppose -5*t + 35 = -5*w, -1 = 4*w + 3. Let n(r) = r**2 + r + 1. Let u be n(-3). Let j(h) = u*h - 6*h + t*h. Let z(g) = 2*g. Determine z(j(y)).
14*y
Let r(m) = 2*m**2 - 32. Let x(n) = 52*n**2. Determine r(x(l)).
5408*l**4 - 32
Let k(g) = 2*g**2. Let w(u) be the third derivative of 7*u**6/360 - 43*u**3/6 + 2*u**2. Let l(r) be the first derivative of w(r). Determine k(l(z)).
98*z**4
Let g(w) = 2 - 3*w - 2 + 0*w - 10*w. Let a(s) = s**2. Calculate g(a(l)).
-13*l**2
Let x(h) = 6*h. Let g(z) = 3*z**2 + 121*z + 2. Determine g(x(f)).
108*f**2 + 726*f + 2
Let h(s) = -s**2 - 139*s - 5. Let v(x) = -x**2 - 138*x - 6. Let k(r) = -6*h(r) + 5*v(r). Let u(o) = 2*o**2. Calculate k(u(j)).
4*j**4 + 288*j**2
Let w = -215/8 - -27. Let i(m) be the third derivative of -2*m**2 + 0*m**3 + 0 + 0*m + w*m**4. Let y(v) = -3*v**2. What is i(y(p))?
-9*p**2
Let k(p) = 37*p**2. Let n(w) = 1749*w. Determine n(k(u)).
64713*u**2
Let k(s) = -2*s**2 - 28. Let m(l) = -6*l + 65. Let o be m(11). Let q(x) = -2*x + 12. Let v(w) = 1. Let r(u) = o*q(u) + 12*v(u). What is k(r(g))?
-8*g**2 - 28
Let h(k) = 6*k + 5. Let w(z) = -z - 1. Let o(l) = -l - 1. Let c(n) = -4*o(n) + 3*w(n). Let t(r) = 30*c(r) - 6*h(r). Let m(a) = -4*a. Calculate m(t(i)).
24*i
Let p(j) = 1531*j. Let t(c) = 2*c**2 - 8*c. What is t(p(l))?
4687922*l**2 - 12248*l
Let q(r) = 5*r**2. Let s = -4 + 6. Suppose -2*y - 4*o = 0, 3*y - o = 3*o. Let p(k) = s*k - k + y*k. What is p(q(m))?
5*m**2
Let f(r) = r**2 + 34 - 16 - 18. Let j(v) be the first derivative of -11/2*v**2 + 0*v - 5. What is j(f(c))?
-11*c**2
Let j(v) = -v**2 - v. Let n be j(-1). Let l(k) = 0*k**2 + k**2 - 2*k**2 + n*k**2. Let i(c) = -11*c. Determine l(i(h)).
-121*h**2
Let s(x) = -10*x**2 + 2*x + 1320. Let y(t) = 5*t**2. Determine s(y(i)).
-250*i**4 + 10*i**2 + 1320
Let d(g) = -187324*g. Let j(p) = 23*p**2. Calculate j(d(n)).
807076462448*n**2
Let m(g) = -6*g**2. Let q(h) = 58042*h. Calculate m(q(c)).
-20213242584*c**2
Let k(o) = -28*o. Let c(l) = 5*l. Let d(m) = 11*c(m) + 2*k(m). Let x(y) = 107*y - 4. Give x(d(p)).
-107*p - 4
Let m(u) = 88*u + 530. Let q(g) = -6*g. Determine q(m(c)).
-528*c - 3180
Let o(s) be the third derivative of 7*s**5/30 - 15*s**2. Let v be (124/(-8))/(2/(-20)). Let f(u) = -v + 155 + u. Determine o(f(a)).
14*a**2
Let y(v) = 3*v**2. Let w(p) be the first derivative of p**4/6 - 9*p - 6. Let n(u) be the first derivative of w(u). Determine n(y(b)).
18*b**4
Let t(l) = 6*l**2 + 5*l. Let k(h) = h**2 + h. Let n(v) = 3*v + 28. Let c be n(-9). Let j(f) = c*t(f) - 5*k(f). Let z(x) = 45*x. Calculate j(z(a)).
2025*a**2
Let z(d) be the second derivative of -d**6/360 + d**3/6 + 2*d. Let p(c) be the second derivative of z(c). Let o(a) = 0*a - 83 + 83 - 3*a. Calculate o(p(k)).
3*k**2
Let g(x) = 2*x**2. Let o(c) = -c**2 + 2 | {
"pile_set_name": "DM Mathematics"
} |
(b) 1.2 (c) -3 (d) 4 (e) -4 (f) 0.3
f
Which is the second biggest value? (a) -0.08 (b) 0 (c) -125
a
What is the fourth smallest value in 2/5, -45, 1/35, 9, 0, -3?
1/35
What is the second smallest value in -0.04, 16, -2/7, -14/9?
-2/7
What is the fourth biggest value in 1, -4, 0.8, 49.76?
-4
Which is the fourth smallest value? (a) -4 (b) -2 (c) 3/5 (d) -3/7180
c
Which is the fifth biggest value? (a) -269 (b) 4 (c) 43 (d) 2/11 (e) 5
a
What is the fourth smallest value in 1/4, -6, 18527, -1, 0.4?
0.4
Which is the second biggest value? (a) 10 (b) -17/15 (c) -4 (d) -5
b
Which is the third biggest value? (a) 4 (b) -37.9 (c) 0.3 (d) 1/2 (e) -5 (f) -1/23
c
Which is the second smallest value? (a) 0.052 (b) 0.2 (c) 22
b
What is the fifth biggest value in -45, -2.3, 4/7, 2, 1/16?
-45
What is the fourth smallest value in 0.4, 5, 0, 6, 25?
6
What is the second biggest value in -5, 0.4, -39, -80.5?
-5
Which is the fourth smallest value? (a) 5 (b) 234 (c) -3/8 (d) -1 (e) -62
a
Which is the smallest value? (a) -21/20 (b) -0.2 (c) 0.4 (d) 5 (e) 0 (f) -0.4
a
Which is the fourth smallest value? (a) 4/3 (b) -2/19 (c) -0.5 (d) -0.23 (e) -0.199 (f) -3
e
Which is the fourth smallest value? (a) 4 (b) 2836 (c) 1 (d) -1 (e) 3
a
Which is the fourth smallest value? (a) 5 (b) 2 (c) 1/5 (d) -0.181 (e) -6/37
b
What is the biggest value in -0.3, 5, 3/7, 12/5, 12, -0.27?
12
Which is the smallest value? (a) 1 (b) 9/55 (c) 2/5 (d) 0.004
d
Which is the sixth smallest value? (a) 0.4 (b) 4 (c) -3 (d) -0.4 (e) -5 (f) 5.1
f
Which is the sixth biggest value? (a) 1/28 (b) 0.4 (c) -23 (d) -0.5 (e) -7 (f) -5
c
What is the second biggest value in 5, -6269, 8?
5
What is the fifth biggest value in 2, 3/2, 3/5, 2/7, 6.7, 16?
3/5
Which is the third smallest value? (a) -0.1 (b) -5/11 (c) -4 (d) 596/23
a
What is the third smallest value in -0.2, -3.911, 0.4, -2?
-0.2
Which is the fifth smallest value? (a) 3709 (b) -0.4 (c) 4 (d) -0.5 (e) -2/11 (f) -6/11
c
What is the third smallest value in -1626, 0.03, -34, -5?
-5
Which is the third biggest value? (a) -314 (b) -9/5 (c) 4/11 (d) 2
b
What is the second smallest value in -1/3, 24954.2, 1?
1
Which is the third smallest value? (a) -2/5 (b) -3/7 (c) 0.1 (d) -1/8 (e) -2/213
d
What is the third biggest value in 1320/19, -1/2, -3?
-3
Which is the second smallest value? (a) -3/10 (b) 19 (c) 1/25
c
Which is the second biggest value? (a) 4/9 (b) 0.7 (c) 4 (d) -42
b
What is the third biggest value in 0.3, 2/7, 7.391, -0.93?
2/7
Which is the fourth smallest value? (a) 292 (b) 8 (c) 4 (d) 2 (e) -1
b
Which is the fifth smallest value? (a) 0.4 (b) 6 (c) -1/5 (d) -2/97 (e) -25 (f) -5
a
Which is the third smallest value? (a) -885 (b) 3 (c) 2/13 (d) -339
c
What is the third biggest value in 22, 25, -0.3, -22/5?
-0.3
Which is the second biggest value? (a) 0.057 (b) -0.2 (c) 1324
a
What is the biggest value in -7, -7604, -0.2?
-0.2
What is the third biggest value in 2/5, 8, 481, 0.5?
0.5
What is the fifth smallest value in 2, 2651, -4, 0, -3?
2651
What is the fifth biggest value in -0.017, -2, -2/117, 3/8, 1, -0.7?
-0.7
Which is the second smallest value? (a) -3 (b) -1179 (c) 1
a
What is the fifth biggest value in -5, -0.2, 62, -0.4, -1748?
-1748
What is the second biggest value in -4, -3/13, 5342?
-3/13
Which is the fourth biggest value? (a) 5 (b) 3221 (c) 0.4 (d) 5/4
c
Which is the smallest value? (a) 34 (b) 102 (c) 60/11
c
What is the third biggest value in -0.1, 3/4, -2/19, 2, 7/2?
3/4
Which is the fourth smallest value? (a) 5 (b) -2.8685 (c) 1/6 (d) -1 (e) 0.3 (f) 0.5
e
Which is the biggest value? (a) 1 (b) 0.4 (c) 3/4 (d) -4 (e) -0.6 (f) -99
a
What is the second biggest value in -9.6, 2/5, 2/631?
2/631
What is the second biggest value in 4, 19, -2, -1/3, 0.085?
4
What is the third smallest value in 1, -2, 218/187?
218/187
What is the fourth smallest value in 2, -1/4, -10, -4/11, 4, -0.6?
-1/4
Which is the biggest value? (a) -8 (b) -2 (c) -96 (d) 1.3
d
What is the third biggest value in -41/5, -0.2, -4, -29, -2, 4?
-2
Which is the fourth biggest value? (a) 30.3 (b) -3/2 (c) 0.05 (d) 3.3
b
Which is the fourth biggest value? (a) -32 (b) 2 (c) 1 (d) 0.86
a
What is the smallest value in -155, -1, 4, -3, -0.4, -0.5?
-155
Which is the smallest value? (a) 29.073 (b) -4 (c) -0.29
b
Which is the third biggest value? (a) -14 (b) 3 (c) 139
a
Which is the second biggest value? (a) 202/55 (b) 0 (c) 4 (d) 5 (e) 3
c
What is the smallest value in 3, 9, -1/4, 5808?
-1/4
Which is the third smallest value? (a) -802 (b) -4/11 (c) 5/4 (d) -1/2
b
What is the second biggest value in -1/3, -0.28, -3, 32?
-0.28
What is the smallest value in 0.7, 5, 4, 61, 35/4?
0.7
What is the third biggest value in 1/195, 2, -1, 3, 5, -18?
2
What is the third biggest value in -353, 4, -0.5, 2?
-0.5
What is the smallest value in 2/19, -4/31, 0.3, -0.3, 2/11?
-0.3
What is the fourth smallest value in -0.2, 0, 51/10, -8?
51/10
Which is the second biggest value? (a) -346.3 (b) 61 (c) 1
c
What is the third smallest value in 0.015, -0.2, 1, -1/4?
0.015
What is the biggest value in -3/8, -4, -12727?
-3/8
Which is the biggest value? (a) 0.3 (b) 0.042 (c) -0.3 (d) 6 (e) 1/9
d
What is the biggest value in 9, -3/4, -29, 5, -5, 0.7?
9
What is the second smallest value in 3, -1, 13/5, 0.6, -0.2, -43?
-1
Which is the smallest value? (a) -60 (b) 1 (c) 742
a
What is the fourth smallest value in -0.02, 0.5, 393, 0.4?
393
What is the second smallest value in 4, 0.043, 3, 5, 4.6, -3/4?
0.043
Which is the second biggest value? (a) -1 (b) -173 (c) -5
c
Which is the second smallest value? (a) 0.12 (b) -3 (c) 18 (d) 2 (e) -2 (f) -6/11
e
What is the fifth biggest value in 0.03, -0.04, 3/5, -0.3, -7/18, -0.1?
-0.3
What is the smallest value in -1/4, -91, -2/9, 0?
-91
Which is the second biggest value? (a) -21.8 (b) -0.3 (c) 2 (d) -1489
b
Which is the fourth smallest value? (a) -0.09 (b) -6/13 (c) -3 (d) -0.7 (e) 2/21
a
Which is the biggest value? (a) -0.55 (b) 1 (c) -1/3 (d) 3 (e) -0.4 (f) -0.1
d
Which is the second biggest value? (a) 3 (b) 0 (c) -0.5 (d) 53/6 (e) -0.8 (f) -1
a
Which is the fifth biggest value? (a) -3/4 (b) 0.4 (c) 0.15 (d) -49 (e) 3/2
d
Which is the smallest value? (a) -7/8 (b) -6 (c) -0.2 (d) 7/6
b
Which is the third biggest value? (a) 0.2 (b) 13 (c) -49.3 (d) -5
d
Which is the sixth smallest value? (a) -0.3 (b) -1/4 (c) 0 (d) -0.074 (e) 1 (f) -4/3
e
Which is the third biggest value? (a) 13 (b) -38/13 (c) -3/26 (d) 0.2 (e) -1/7 (f) -1/2
c
Which is the second smallest value? (a) -4/5 (b) 2/9 (c) -39 (d) 0.6 (e) 10
a
Which is the third biggest value? (a) 0.7 (b) 4 (c) 2/681 (d) -8 (e) -3/5 (f) -4
c
Which is the biggest value? (a) 11868/25 (b) 3 (c) -4
a
Which is the second smallest value? (a) -4 (b) 5.117 (c) 0.1
c
What is the fourth smallest value in -11/2, 2, -0.3, 2/15, -0.5, -3?
-0.3
Which is the second biggest value? (a) -1 (b) 0.1 (c) -2/15 (d) 3/2
b
Which is the second biggest value? (a) -0.03 (b) -8 (c) 2/3 (d) -15 (e) -5
a
What is the third biggest value in -36/23, 1, 2/9?
-36/23
Which is the third smallest value? (a) 12 (b) -1 (c) 6 (d) 2/5 (e) 3 (f) 0.3
d
Which is the fourth biggest value? (a) -9 (b) 8 (c) -1 (d) 18/7 (e) 5
c
What is the third biggest value in 1/3, -4, -0.3, -2.4?
-2.4
What is the second smallest value in 3/4, -4, 2/3, 689?
2/3
What is the third biggest value in -15, -0.498, 0?
-15
What is the third smallest value in 156, -1/5, 4, -4?
4
What is the second smallest value in -3, -7/743, -0.3?
-0.3
Which is the second biggest value? (a) 0.1 (b) -12082 (c) -1.2
c
Which is the smallest value? (a) 161.7 (b) 4.1 (c) -2
c
Which is the second biggest value? (a) 0.7 (b) -6 (c) 2
a
Which is the fourth smallest value? (a) 187 (b) 0.4 (c) -0.08 (d) 0.05 (e) -4
b
Which is the biggest value? (a) -1/5 (b) 94 (c) -16
b
What is the fifth biggest value in -11, -1/7, -4, -3, -1, -2?
-4
What is the second biggest value in 9/11, -2, 0.3, 2/3, 8?
9/11
Which is the third biggest value? (a) -0.176 (b) 5 (c) -0.0234
| {
"pile_set_name": "DM Mathematics"
} |
e common denominator of 69/11032 and 23/15169?
121352
Find the common denominator of -51/55 and -1/25.
275
Find the common denominator of 13/40 and 15/184.
920
Calculate the lowest common multiple of 11074 and 98.
11074
Calculate the common denominator of 51/14 and -83/28.
28
What is the common denominator of -34/7209 and 83/1602?
14418
What is the least common multiple of 10 and 10?
10
Calculate the smallest common multiple of 39 and 24.
312
Find the common denominator of 47/10 and 25/11.
110
What is the common denominator of 71/16 and -9/160?
160
What is the common denominator of -59/10 and -1/224?
1120
What is the lowest common multiple of 10554 and 18?
31662
Calculate the common denominator of 93/2 and 13/495.
990
Calculate the least common multiple of 658 and 752.
5264
Find the common denominator of 67/3837 and 149/6.
7674
What is the least common multiple of 5 and 721?
3605
Calculate the smallest common multiple of 2007 and 8920.
80280
What is the smallest common multiple of 5220 and 3654?
36540
Calculate the least common multiple of 737 and 22.
1474
What is the least common multiple of 3978 and 143?
43758
Calculate the common denominator of -7/10 and 75/724.
3620
What is the common denominator of -105/3484 and -73/546?
73164
What is the least common multiple of 1864 and 12?
5592
Calculate the smallest common multiple of 677 and 8.
5416
What is the common denominator of -43/1397 and -53/762?
8382
Calculate the lowest common multiple of 39 and 27.
351
Calculate the lowest common multiple of 294 and 1666.
4998
Find the common denominator of -83/374 and -105/68.
748
What is the least common multiple of 498 and 664?
1992
Calculate the lowest common multiple of 84 and 147.
588
Find the common denominator of -29/52 and 99/10.
260
What is the common denominator of -65/332 and 47/830?
1660
Find the common denominator of -10/639 and -38/63.
4473
What is the common denominator of 15 and 155/132?
132
Calculate the lowest common multiple of 169 and 10.
1690
What is the common denominator of 127/276 and -13/330?
15180
What is the common denominator of -91/12 and 38/29?
348
Find the common denominator of -50/9 and -33/806.
7254
Calculate the common denominator of 87/16 and 133/60.
240
What is the common denominator of -71/180 and 107/40?
360
Calculate the lowest common multiple of 217 and 62.
434
Find the common denominator of 81/20 and -19/48.
240
Calculate the lowest common multiple of 1012 and 242.
11132
Calculate the common denominator of -121/1686 and -53/2248.
6744
Calculate the least common multiple of 74 and 370.
370
Calculate the common denominator of -87/50 and -91/94.
2350
What is the lowest common multiple of 75 and 55?
825
Calculate the common denominator of 23/312 and 64/9.
936
Calculate the common denominator of 61/1304 and 109/44.
14344
Find the common denominator of 83/28 and 1/28.
28
What is the common denominator of 17/65 and 31/4485?
4485
What is the least common multiple of 1830 and 4?
3660
Calculate the least common multiple of 1781 and 7.
12467
What is the common denominator of -46/33 and 23/15?
165
What is the common denominator of -23/366 and 103/854?
2562
Calculate the common denominator of -67/6 and -33/398.
1194
Find the common denominator of 131/264 and -65/924.
1848
Calculate the smallest common multiple of 1928 and 2169.
17352
Calculate the lowest common multiple of 204 and 30.
1020
What is the common denominator of 75/4 and 77/26?
52
Calculate the lowest common multiple of 90 and 120.
360
Calculate the common denominator of 41/620 and -37/1550.
3100
Find the common denominator of 63/4 and 29/1191.
4764
Find the common denominator of 83/5250 and 4/273.
68250
Find the common denominator of 4 and 26/613.
613
What is the common denominator of 79/8 and -43/4?
8
Find the common denominator of 35/918 and 43/3.
918
Calculate the lowest common multiple of 6 and 24.
24
What is the smallest common multiple of 33 and 63?
693
Calculate the smallest common multiple of 2160 and 560.
15120
Calculate the smallest common multiple of 2428 and 32.
19424
What is the common denominator of 11/16 and -77/64?
64
Find the common denominator of -42/5 and -99/8.
40
Find the common denominator of 31/24 and 55/2034.
8136
What is the common denominator of 37/6 and -9/622?
1866
Find the common denominator of 63/10 and 9/89.
890
Find the common denominator of -20/1557 and 67/1557.
1557
What is the common denominator of 5/384 and -47/6?
384
Calculate the common denominator of -89/1743 and -10/33.
19173
Calculate the common denominator of 109/30 and 19/265.
1590
Calculate the common denominator of 113/24 and -23/404.
2424
Calculate the common denominator of 50/7 and -93/22.
154
Calculate the common denominator of 77/710 and 19/20.
1420
Calculate the least common multiple of 124 and 20.
620
Calculate the lowest common multiple of 10 and 1682.
8410
What is the smallest common multiple of 36 and 4?
36
What is the smallest common multiple of 3294 and 4?
6588
What is the common denominator of -59/40 and 111/88?
440
Calculate the lowest common multiple of 42 and 105.
210
Find the common denominator of -58/75 and 191/1890.
9450
Calculate the least common multiple of 715 and 1105.
12155
Find the common denominator of -95/22 and -1/6.
66
Calculate the least common multiple of 12669 and 10.
126690
Calculate the least common multiple of 144 and 144.
144
What is the least common multiple of 3 and 1686?
1686
Calculate the common denominator of -79/8970 and -151/552.
35880
Calculate the common denominator of 74/57 and 5/27.
513
What is the lowest common multiple of 125 and 125?
125
What is the lowest common multiple of 1125 and 10?
2250
Calculate the common denominator of 113/6 and 9/2.
6
Find the common denominator of 67/3690 and 56/615.
3690
Calculate the smallest common multiple of 3 and 10560.
10560
Calculate the common denominator of 68/945 and 53/21.
945
Find the common denominator of -77/159 and -38/2385.
2385
What is the smallest common multiple of 1995 and 20?
7980
Calculate the common denominator of 17/3 and -113/24.
24
Find the common denominator of -85/12 and -63/36986.
221916
What is the common denominator of -29/750 and -25/27?
6750
What is the lowest common multiple of 1652 and 9?
14868
Calculate the least common multiple of 348 and 8.
696
What is the smallest common multiple of 20 and 6900?
6900
Calculate the least common multiple of 156 and 92.
3588
Calculate the smallest common multiple of 12 and 4.
12
Calculate the common denominator of 79/130 and -74/245.
6370
What is the lowest common multiple of 50 and 14?
350
Calculate the common denominator of 101/50 and 1/80.
400
What is the common denominator of -69/4984 and -23/6?
14952
Calculate the lowest common multiple of 352 and 14.
2464
Calculate the common denominator of -75/598 and 9/22.
6578
What is the common denominator of 133/30 and -139/24?
120
Calculate the least common multiple of 8 and 2655.
21240
What is the common denominator of -27/100 and -67/8?
200
Calculate the common denominator of -7/22 and -41/14.
154
What is the common denominator of 51/4567 and 95/8?
36536
What is the common denominator of 1/2384 and 33/14?
16688
What is the least common multiple of 168 and 10?
840
Calculate the common denominator of -97/48 and 133/96.
96
What is the common denominator of -61/84 and -59/105?
420
Calculate the common denominator of 119/900 and -149/3300.
9900
Find the common denominator of 73/12 and 64/429.
1716
Calculate the smallest common multiple of 28 and 6.
84
What is the common denominator of 62/455 and 54/25?
2275
Calculate the common denominator of -20/57 and 28/171.
171
What is the lowest common multiple of 312 and 3336?
43368
Calculate the least common multiple of 2 and 971.
1942
What is the least common multiple of 72 and 64?
576
Calculate the least common multiple of 16416 and 4.
16416
What is the least common multiple of 8 and 2?
8
What is the smallest common multiple of 16 and 450?
3600
Calculate the common denominator of -87/160 and 89/160.
160
What is the common denominator of 22/135 and -7/9?
135
Calculate the smallest common multiple of 5792 and 1267.
40544
Calculate the lowest common multiple of 3 and 3468.
3468
What is the least common multiple of 1064 and 17?
18088
Find th | {
"pile_set_name": "DM Mathematics"
} |
fth biggest value? (a) -0.08 (b) -9 (c) 3 (d) -16 (e) 0.2 (f) -0.1 (g) -1
g
What is the seventh biggest value in 4, 0.5, 64, 2, 41, 0.01, 961?
0.01
What is the fifth smallest value in 247, 146, 0, 16/3, 3/5?
247
What is the sixth smallest value in 2/17, 0, -1/6, -4, -2/195, -2/9, -2?
0
What is the fifth biggest value in 2/5, 0.1, -5753, 0, -0.11, -2/13?
-2/13
Which is the fourth biggest value? (a) 17257 (b) -9 (c) -2 (d) 0.05
b
What is the third smallest value in -0.00499219, 0.1, 0.04?
0.1
What is the third smallest value in -4/9, -1.134, 1/3, -0.504, 2/11?
-4/9
Which is the third biggest value? (a) 0.3 (b) -2 (c) -74 (d) 4 (e) -0.0081
e
Which is the second smallest value? (a) -163 (b) -0.985 (c) 65
b
What is the third smallest value in -2/3, -7, 0, 8, 1, 50?
0
What is the smallest value in 5, 4, 138.4, -0.2, -3, 55?
-3
Which is the fourth biggest value? (a) 2/11 (b) 5 (c) 1/2 (d) 2 (e) 0.2 (f) -12/127 (g) 1
c
Which is the third biggest value? (a) 5/23 (b) -14.6917 (c) 4
b
What is the biggest value in 12/103, -3, -2249?
12/103
What is the sixth biggest value in -13, -2/19, 0.1, -58/7, 4, -2/3?
-13
What is the smallest value in -6/13, 5/3, 2/51865, -0.2?
-6/13
Which is the biggest value? (a) -0.2 (b) -1 (c) 2/9 (d) 4 (e) -550 (f) -1.5
d
What is the sixth smallest value in -1, 0.004, 0, 0.1, -41/12, 2/7?
2/7
Which is the third smallest value? (a) 4/13 (b) -0.2 (c) 1 (d) 87 (e) -2/5 (f) -20/103 (g) -0.5
b
Which is the fourth biggest value? (a) -3/7 (b) 4/3 (c) 1 (d) 66 (e) -1/5 (f) 0.3
f
Which is the second biggest value? (a) 102 (b) 7 (c) -264 (d) 26 (e) 0
d
What is the second biggest value in 0.2, -9/109, -1/3, 2/3, -42?
0.2
Which is the second smallest value? (a) 1 (b) 1.2 (c) -0.5 (d) 2/15 (e) -5/3 (f) 3064
c
Which is the third biggest value? (a) 7 (b) 2 (c) -0.3 (d) -798
c
What is the third smallest value in -0.2, -1/14, 0.1, -3, -742/5, -5, -2/93?
-3
Which is the second biggest value? (a) -979 (b) -2 (c) 7 (d) -14 (e) 3
e
What is the third smallest value in 2, 0.007, 4, 2/11, -2, -7295, 2.7?
0.007
What is the smallest value in -2/301047, -2, 2/11?
-2
What is the smallest value in 553, 0.02, -4, -1/470?
-4
What is the fifth biggest value in -0.1, -4, -3/8, 4, 15/8, 936?
-3/8
What is the smallest value in -198341, -3, 78?
-198341
Which is the fourth biggest value? (a) -0.3 (b) -0.4 (c) -1/3 (d) 0.3 (e) -13/892 (f) 17
a
What is the fifth biggest value in 2/3, -4, -13, -1/6, -1/4?
-13
What is the third biggest value in -47777, -1/6, -1/10, 20, 10?
-1/10
Which is the third smallest value? (a) -0.608 (b) -72344 (c) -0.1
c
What is the second smallest value in 0.4, -0.4, -520, 4, -3, -11, 0.01?
-11
Which is the seventh smallest value? (a) 2/9 (b) 0.3 (c) -69 (d) -2 (e) 454 (f) -4 (g) 0
e
Which is the smallest value? (a) 0.1 (b) -28/27 (c) 0.3 (d) 4 (e) 0.2
b
What is the third smallest value in -1, 1108, 1/13914?
1108
What is the third smallest value in -44, 3.57, -2/9, -0.4, -0.3, -1/5?
-0.3
What is the fourth smallest value in -0.06, 2/9, -0.1, -2/7, -0.109, -1/8?
-0.1
Which is the second biggest value? (a) -1/3 (b) 0.02 (c) -38 (d) -380 (e) 0
e
Which is the fourth biggest value? (a) -3 (b) 1/2 (c) 18 (d) 4 (e) 1 (f) -2 (g) -168/25
b
What is the smallest value in -1078, 2, 4, -1/6, 6/11, 5?
-1078
What is the smallest value in 2, -5, 747, 1/4, -212, 3, -0.3?
-212
Which is the sixth biggest value? (a) 48388 (b) 2/13 (c) -0.5 (d) 0.5 (e) 0.6 (f) 3
c
What is the second smallest value in -3, -4, 4, -2/17, 1410, -0.4, -7/4?
-3
What is the third biggest value in 269, -5/59, 0.022?
-5/59
Which is the fourth biggest value? (a) 18 (b) -2 (c) -394/5 (d) 1659 (e) 0
b
What is the sixth biggest value in -0.2, 45, 24, -6, 356, 1?
-6
What is the fourth smallest value in -10787, 0, -3, 1655?
1655
Which is the third smallest value? (a) -1/4 (b) -85 (c) 2 (d) -2/21 (e) 5 (f) -0.2 (g) -10
a
What is the third smallest value in 17/5, -0.4, 3, 2, 1/3, -1/5, -2?
-1/5
What is the third biggest value in 12, -0.2, 1, 4, 8, 109?
8
Which is the smallest value? (a) -1/67497 (b) 3 (c) -0.75
c
What is the biggest value in -6, -62, -86916?
-6
What is the second smallest value in -12, 2, 99, -6, 28, 0.2, 4?
-6
What is the fourth smallest value in 0.0112, 5, -2/7, -3, 1, 3, -2?
0.0112
What is the smallest value in 1/5, 1635, 291/8, -1/5?
-1/5
Which is the fifth biggest value? (a) -4/5 (b) 0.3 (c) 1 (d) 4/29 (e) -63886/13
e
What is the fifth biggest value in 2, -8, 2.99, 0.2, -11?
-11
What is the fourth biggest value in -0.5, 1/53, 2, -20, -34/11?
-34/11
Which is the fourth biggest value? (a) 274 (b) 268 (c) -3/4 (d) 0.1 (e) -1269
c
Which is the smallest value? (a) -0.34 (b) 0.3 (c) -2/11 (d) 2/3 (e) 1/10 (f) 15
a
Which is the third smallest value? (a) -8 (b) -0.4 (c) -0.3 (d) -9 (e) 1/2 (f) 0.0628
b
Which is the third smallest value? (a) 5 (b) -5 (c) 161 (d) 3157/3 (e) -3/4
a
Which is the second biggest value? (a) 1 (b) 0 (c) -3/2 (d) 509/4 (e) 5 (f) 15
f
What is the seventh smallest value in 4, -0.2, -49, -0.1, -2, -75/8, 0.6?
4
What is the sixth smallest value in -2/5, -5, 5, -0.76, -21107, 0.1, 0.2?
0.2
What is the fourth smallest value in 4, 1.8, -3, 0.4, -2/147?
1.8
What is the fifth smallest value in 2, -4/7, 69018, -1/3, -18?
69018
Which is the second smallest value? (a) -2/11 (b) -56869 (c) 59 (d) 15
a
Which is the second smallest value? (a) -73874 (b) 9 (c) 4
c
Which is the smallest value? (a) 1 (b) -288 (c) 132 (d) 1.9
b
Which is the fifth smallest value? (a) 5/9 (b) 1 (c) 0.059 (d) -1 (e) 3/2 (f) -47 (g) -4
a
What is the sixth biggest value in -7, -1/3, 1/3, -708.28, -3, 4?
-708.28
What is the fifth smallest value in -2/7, -1, -2, 2/15, 559987/3?
559987/3
What is the fifth smallest value in -5, 0.2, -46, 593, 0, -2?
0.2
What is the biggest value in 2, -0.132, 39, -145?
39
What is the fourth biggest value in 314255, -0.2, 4, -0.3?
-0.3
Which is the fifth smallest value? (a) -0.6 (b) -1/5 (c) 0.19 (d) -1/19198 (e) 3/2
e
What is the third biggest value in 0.5, -1061.5, 0.2, 1/10, 9?
0.2
Which is the third smallest value? (a) 0.7 (b) -8831 (c) -1/2 (d) 0.0026
d
What is the biggest value in -126, 1, -21245?
1
Which is the fourth smallest value? (a) 0.2 (b) 363018 (c) 3 (d) 1/8
b
What is the biggest value in 34/69, -4, -0.2, -2/5, -1?
34/69
What is the third smallest value in -42, -122, 1, 10, -1/6, -4, 3/2?
-4
Which is the third biggest value? (a) 1.19 (b) 49 (c) -1/4 (d) 3/41
d
Which is the third biggest value? (a) -2/9 (b) 2/15 (c) -1 (d) 231/2 (e) -16/29 (f) 0.1 (g) 3
b
Which is the biggest value? (a) 38033 (b) -312 (c) 0.4 (d) -0.4
a
Which is the third smallest value? (a) -0.4 (b) -0.3641 (c) -14 (d) -213
a
Which is the third biggest value? (a) -0.5 (b) 1 (c) -51/70 (d) 3 (e) -18 (f) 22
b
Which is the biggest value? (a) -2 (b) -4 (c) -26 (d) -0.338 (e) 5
e
Which is the sixth biggest value? (a) 201 (b) 4/3 (c) -0.16 (d) -0.37 (e) -0.2 (f) -0.5
f
What is the smallest value in -8.5, -8, -2, 4, 0.31, 0?
-8.5
What is the third biggest value in 3, -4, 968, -1422/11, -0.2, 2/7?
2/7
Which is the third biggest value? (a) 22 (b) 321 (c) -222
c
Which is the sixth biggest value? (a) 0.1 (b) 2/11 (c) -95 (d) 4 (e) 13 (f) -3 (g) -4/13
f
Which is the sixth smallest value? (a) 2 (b) -32 (c) 11 (d) -23/2 (e) -2/17 (f) -4 (g) -2
a
Which is the second biggest value? (a) 2/179 (b) -354360 (c) -4
c
What is the third biggest value in 1.28, -3.778, -24, 0?
-3.778
Which is the fifth smallest value? (a) 5/6 (b) 0.04 (c) 4 (d) -2 (e) -0.5 (f) 2 (g) -1
a
Which is the smallest value? (a) -93 (b) 16.7 (c) -3/4 (d) 0.2 (e) 1/2 (f) 4
a
Which is the third biggest value? (a) 0 (b) 2/3 (c) -0.3 (d) -3 (e) 4.5 (f) 61 (g) 3
g
Which is the second biggest value? (a) 2 (b) 4302 (c) -50 (d) -4
a
What is the biggest value in -3, 4/3, 57966, 8, 1/2?
57966
What is the second smallest value in 0.5, 0.1, 4680, -2/11, -5?
-2/11
Which is the biggest value? (a) 2/2065 (b) -2/15 (c) 83 (d) 1/3
c
Which is the third smallest value? (a) -3.9 (b) 3 ( | {
"pile_set_name": "DM Mathematics"
} |
e prime factors of s?
2, 3, 7
What are the prime factors of (-855)/2*(-28)/(-175)*-190?
2, 3, 19
Let o be (-5 - (-1162)/(-21)) + 9/27. Let m(v) = 33*v**2 + 3*v. Let r be m(-2). Let z = r + o. List the prime factors of z.
2, 3, 11
Suppose -8*f + 10848 + 20096 = 0. What are the prime factors of f?
2, 967
Let o be (-6)/(-24) - (-5419)/4. Let p = o + -728. What are the prime factors of p?
3, 11, 19
Let i be -39*(10 + -5 + 222/(-9)). Let q = 1359 - i. List the prime factors of q.
2, 37
Suppose 38*i - 300 = 43*i. What are the prime factors of (1230/25)/(3/i*-6)?
2, 41
Suppose 0 = -l + 6*l - 50. Suppose 3*o = l*o - 2450. List the prime factors of o.
2, 5, 7
Suppose -4*h - 4*k - 340 = 0, -3*h - k = 27 + 220. What are the prime factors of (-294 - h)/((-3)/8)?
2, 71
Suppose 288 = 4*q + 4*n, 2*q - 102 = 4*n + 30. Let r = -66 + q. Suppose h - 3*o = 6*h - 474, -2*h + r*o = -200. What are the prime factors of h?
2, 3
Let b(j) = -j**3 + 20*j**2 - 18*j - 118. What are the prime factors of b(13)?
3, 277
Let j = 132 + -125. List the prime factors of (j/(-1) + 5 + -7)*-7.
3, 7
Suppose -96*k + 48 = -99*k. What are the prime factors of k/(-12)*(324 + 3)?
2, 109
Suppose -46529 = -31*w + 15657. List the prime factors of w.
2, 17, 59
Let u(l) = 28*l**3 - 13*l**2 + 24*l - 111. What are the prime factors of u(8)?
5, 11, 13, 19
Let g = -319 - -319. Suppose -15*d - 3*d + 29088 = g. What are the prime factors of d?
2, 101
What are the prime factors of (364/35)/(14/(-70) + 493/2455)?
2, 13, 491
Suppose 5*v + 69 = 4*r, -2*v - 31 + 4 = -r. Let l = 34 + v. Suppose -l = -b + 3*d - 6*d, d - 29 = -4*b. List the prime factors of b.
2, 3
What are the prime factors of (-553 - -330)/((-2)/46)?
23, 223
Let g(z) = -1099*z + 934. List the prime factors of g(-13).
31, 491
Let r(i) = i**3 - i**2 - 8*i + 2. Let x be r(3). Let y be (1/(x/(-6)))/3*12. Suppose -48 = -y*z + 390. List the prime factors of z.
73
Suppose 0 = 4*b + 239 - 1843. Let j(t) = t**2 - 15*t - 748. Let h be j(-24). Let a = b - h. What are the prime factors of a?
3, 71
List the prime factors of (2 + -6)/(-16) - -1*70807/4.
2, 53, 167
Let m = -123 + 123. Suppose 0 = -2*j - 2*j + 144. Let h = j + m. List the prime factors of h.
2, 3
Let p be (-9 + 9 + 35)*436/10. Let k = p + -782. List the prime factors of k.
2, 3, 31
Suppose -52 = -o - 47. Suppose 4*v - 2548 = -3*a, o*a + 5*v - 4244 = v. What are the prime factors of a?
2, 53
Suppose -264 = 17*c + 263. What are the prime factors of 3 - c/2*2*1?
2, 17
Let p = -269 + 1018. Let s = p - 409. What are the prime factors of s?
2, 5, 17
Suppose -q = -8 + 8. Suppose -4*f - 8 = 0, 4*u + q*u - 86 = -f. Suppose -2*i + u = -168. List the prime factors of i.
5, 19
Let p = -41807 - -58562. What are the prime factors of p?
3, 5, 1117
Let f = 8521 + 4375. List the prime factors of f.
2, 13, 31
Suppose 42*v - 26047 - 71053 = 126004. List the prime factors of v.
2, 83
Suppose -34*w = 37*w - 349604. What are the prime factors of w?
2, 1231
Let m = 136 + -125. Let l(t) = t**3 - 9*t**2 + 15*t - 35. List the prime factors of l(m).
2, 3, 31
Suppose p = -s - 491, -5*s - 3223 = 3*p - 764. Let a = 712 + s. List the prime factors of a.
3, 73
Let u(f) = 3*f + 26. Let q be u(-8). Suppose 3*c + n - 76 = -q*c, -2*c + 33 = 3*n. Suppose 0*p + c = 4*d - 3*p, -5 = -2*d - p. What are the prime factors of d?
3
Let d = 382 + -42. Suppose -5*n - 5*k + 2785 = 0, n - d = 3*k + 213. What are the prime factors of n?
2, 139
Suppose 27760 = -12*w + 88791 + 63577. What are the prime factors of w?
2, 11, 59
Suppose -5*z + 25 = -5. Let s(i) = 312 - 95 + 30*i - 233. What are the prime factors of s(z)?
2, 41
What are the prime factors of (232/(-14) - (-264)/462)*-1*151?
2, 151
Let a(s) = 2923*s - 2118. What are the prime factors of a(8)?
2, 7, 31
Suppose 0 = -33*g + 34*g - 3. Suppose g*k - 99 = -2*s, -2*s + 36 = -4*k - 70. Let m = -45 + s. List the prime factors of m.
2, 3
Suppose 3*z - 3*y = 747, 2*z = -y + 5*y + 490. Let s = z - -104. List the prime factors of s.
3, 7, 17
Let m(k) be the first derivative of -k**5/10 + k**4/24 + 4*k**3/3 - 16. Let v(x) be the third derivative of m(x). What are the prime factors of v(-7)?
5, 17
Suppose o + 2*y - 6*y - 1102 = 0, -3*o = y - 3280. What are the prime factors of o?
2, 547
Suppose 83*b + 3039 = -3601. Suppose 3*y + 769 = -2*x - 0*x, -4*y - 3*x - 1024 = 0. Let a = b - y. What are the prime factors of a?
179
Let a be (152/(-6))/2*(-8484)/56. Suppose 3*u + 4*t = 1147, -5*u + 0*t + a = 3*t. Suppose 3*g + 2*g - u = 0. What are the prime factors of g?
7, 11
Suppose -c + 43*x = 46*x - 3824, -4*x = -5*c + 19082. What are the prime factors of c?
2, 23, 83
Suppose 0 = 14*b - 28*b - 1778. Let o = 322 + b. What are the prime factors of o?
3, 5, 13
Let i = 8507 - -1777. What are the prime factors of i?
2, 3, 857
Let c(s) = -171*s + 67. Let n(v) = -v - 1. Let w(a) = c(a) + 3*n(a). What are the prime factors of w(-2)?
2, 103
Suppose -36*o + 228775 = -63815 - 40266. List the prime factors of o.
2, 3, 23, 67
Suppose 5*d + s - 9654 = 0, 49*s = -4*d + 44*s + 7719. What are the prime factors of d?
1931
Let z = -159 + 151. Let m = z + 77. What are the prime factors of m?
3, 23
Suppose m = -4*u + 5598, -3*u = 5*m + 2073 - 6280. Suppose -2*r = -3*c + u, -2*c + 0*r + 931 = -r. What are the prime factors of c?
463
Let z be (-2)/(0 + (1 - 2)). Let d = 1699 + -1639. Suppose 13 - 1 = -3*l, -z*m = -3*l - d. List the prime factors of m.
2, 3
Let g = 18 - 13. Suppose g*a + 4*y - 8 = 2*y, -2*y + 8 = -3*a. Suppose 0 = -2*c - a*c + 124. List the prime factors of c.
2, 31
Suppose -o + 58757 = 4*z, 176262 = 3*o + 75*z - 72*z. List the prime factors of o.
41, 1433
Suppose -4*x + x + 15 = 0. Suppose -x*q + 0*q + 19 = -3*d, -3*d = -q - 1. Suppose 4*r - q*b = 451, -4*r + 2*b + 285 = -181. List the prime factors of r.
7, 17
Let q = 92 + -100. Let d be (-54)/q*7/((-14)/(-8)). Suppose -23*n = -d*n + 580. What are the prime factors of n?
5, 29
Suppose -3*x = 4*c - 23136, 38560 = 5*x - 4*c + 2*c. List the prime factors of x.
2, 241
Let y(b) = b**2 + 6*b - 3. Let c be y(-7). Suppose q + 2607 = c*q. What are the prime factors of 5 + (-189)/39 - q/(-13)?
67
Suppose w + 2934 = 3*h, 6*h - 4890 = h + 2*w. Suppose -8*g + 4*g + c = -h, 5*g = -2*c + 1229. What are the prime factors of g?
5, 7
Suppose -6*v = -19*v + 6383. Suppose 20*h + v = 21*h. List the prime factors of h.
491
Let x = -258 - -248. List the prime factors of (-1142)/(-5)*x/(-4).
571
Suppose 5*u + 6*w = w + 45, 0 = 2*u + w - 16. Let d(b) = 5*b - 33. Let p be d(u). Suppose p*n = -5*r + 24, 5*n - 90 = -4*r - r. List the prime factors of n.
2, 11
Suppose -53*z - 48*z = 4*z - 3325980. List the prime factors of z.
2, 7919
Suppose 322 = 7*d + 2744. Let v = d - -712. What are the prime factors of v?
2, 3, 61
Let f(c) = 52*c + 42*c - 28 - 91*c. Let z be f(13). Suppose -8*m + z*m = 627. List the prime factors of m.
11, 19
Suppose -7*w - 3*i + 3064 = -6*w, -5*w + 5*i + 15260 = 0. Let b = w + -2171. List the prime factors of b.
2, 13, 17
Let x(i) = 61*i**2 - 3*i + 6. Let a be x(3). Suppose -7*n + 1771 = a. What are the prime factors of n?
5, 7
Suppose 0 = 3*d - 3*r + 6, -5*d + 1 - 2 = -2*r. Let o(b) = -2 + 2*b**2 + b - d + 0*b + 0. List the prime factors of o(-2).
3
Let l(r) = -2728*r + 2196. List the prime factors of l(-3).
2, 3, 5, 173
Let c be ((-5)/10)/((-1)/(-4)). Let t be (42/(-7))/(3*c/(-6)). What are the prime factors of (t/(-9))/(9/((-20493)/(-6)))?
11, 23
List the prime factors of -2 + (-2 + 8 + -11)*(-5414)/2.
3, 13, 347
Suppose 0 = -276*t + 282*t - 24120. What are the prime factors of t?
2, 3, 5, 67
Suppose -61 = -4*r - 5*i, 3*i = -4*r + 7*i + 52. What are the prime factors of (8/(-10) - -1)/(r/60130)?
859
Let g(m) = 96*m + 952. What are the prime factors of g(-5)?
2, 59
Suppose 0 = 6*m - 502 + 508. Let q(k) = 496*k**2 - 5*k - 5. List the prime factors of q(m).
2, 31
Let h(u) = -9*u - 67. Let o be h(-8). What are the prime factors of 13305/20 + o/(-20)?
5, 7, 19
Let p(f) = 3*f**2 + 43*f + 21. Let z be p(-14). Let u(v) = 2*v**2 + 7*v - 25. What are the prime factors of u(z)?
2, 61
Suppose u = -2*t + 11396, 172*t - 167*t - 5*u = 28490. What are the prime factors of t?
2, 7, 11, 37
What are the prime factors of (-80846)/(-4) - (-73)/146?
2, 31, 163
Suppose s + 6*s | {
"pile_set_name": "DM Mathematics"
} |
b)*(-3*b**2 + 6*b**2 - b**2) - b**3 + b**3 - b**3.
-13*b**3
Expand (-3*z + 2*z - z)*(1 + 2 - 4)*(52 + 41*z - 52)*(-3 + 3 + 2).
164*z**2
Expand -2*m**3 + 4*m**3 + 3*m**3 + 3*m**3 + 2*m**3 - 4*m**3 + (-2*m**3 - m + m)*(-3 - 2 + 3) - 1 + 2*m**3 + 1 + m**3 - m**3 + 3*m**3.
15*m**3
Expand g**3 + g**3 - 4*g**3 + 3 - 3 - 2*g**3 + (-4*g**2 + 2*g**2 + g**2)*(5*g - g - 3*g) - 3*g**3 - 2*g**2 + 2*g**2 - 3*g**3 - 2*g**3 + 4*g**3.
-9*g**3
Expand (3*x**2 - 3*x**2 + 2*x**2)*(158 - 30*x - 158) + (1 + 5*x**2 - 1)*(-2*x + 2 - 2).
-70*x**3
Expand (-9 + 6 - 8)*(-100 - 17*v**2 + 100) - 1 + 3 - 5 + 2*v**2.
189*v**2 - 3
Expand -o**4 + 3 - 3 + (-2*o**2 + 2*o**4 + 2*o**2)*(-5 + 1 + 2) + o**3 - o**3 + o**4 + (9*o**2 - 10*o**2 - 36*o**2)*(-2*o**2 - 1 + 1).
70*o**4
Expand (3*o + 0*o - 2*o)*(153 - 153 - 109*o + 783*o).
674*o**2
Expand (5 - 5 - 2*q)*((3 - 2 + 0)*(-6 + 2 + 2) - 1 - 2 - 1).
12*q
Expand (4 - 2*k - 4)*(249 - 106 + 33)*(3 - k - 3).
352*k**2
Expand (12 + 5 - 4)*(-4*l - 4*l + l + (-1 + 2 + 1)*(2*l + l - l) - 1 + 1 - 2*l)*(-2*l**4 + 4*l**4 + 0*l**4).
-130*l**5
Expand (4*y**2 + y**2 + 6*y**2)*(-11 + 39 + 6)*(3 - 3 + 3).
1122*y**2
Expand (-2 - 7 + 2)*(-t - 2*t + 0*t)*(0*t**2 - 2*t**2 + 0*t**2).
-42*t**3
Expand (-2*y**2 + 0*y**2 - 3*y**2)*(2*y - 4*y + 0*y) + (-7 - 2 + 4)*(-3*y**3 + 2*y**3 + 2*y**3).
5*y**3
Expand -6*r**2 + 4*r**3 + 6*r**2 + (-2 + 2 + r)*(-2*r**2 + 3*r**2 - 2*r**2) + 6*r + 1 + 16*r - r**3 - 19*r.
2*r**3 + 3*r + 1
Expand (354 - 354 + 87*r)*(-3*r**3 - 3*r**3 + 0*r**3).
-522*r**4
Expand 508*j**3 - 5492 + 5492 + (-5*j + 4*j - j)*(-j**2 + 3*j**2 - j**2).
506*j**3
Expand (0 + 0 + 9*b**4)*(-5 - 4*b - 6*b + 8) - 4*b**2 + 2*b**5 + 0*b**2 + 3*b**2.
-88*b**5 + 27*b**4 - b**2
Expand (0*a**2 + a**2 + a**2)*(5*a - 4*a - 3*a) - a - a**3 + a + (-3*a**2 + 2*a**2 + 0*a**2)*(-6*a + 10*a + 4*a).
-13*a**3
Expand ((-d - 2*d + 2*d)*(-2*d + 4*d + 0*d) + 0*d**2 + 0*d**2 - d**2 - d**2 + 7*d**2 + 4*d**2)*(-13*d + 16*d + 16*d).
133*d**3
Expand 0*l**3 + 0*l**3 - 2*l**4 + (-4*l**3 + 6*l**3 - l**3)*(3*l + 6*l - 12*l) + (-4*l + 2*l + 0*l)*(-l**3 - 2*l**3 + 2*l**3) - 8*l**4 + 14 - 14.
-11*l**4
Expand (4*b + b - 3 - 6*b)*(60*b**2 - 82*b**2 - 61*b**2).
83*b**3 + 249*b**2
Expand (-5*h**4 + 0*h**4 + 4*h**4)*(-h - 1 + 1) + 80*h**5 - 2*h**2 + 85*h**5 - 172*h**5.
-6*h**5 - 2*h**2
Expand (-49 + 14 - 74)*(-j**5 + j**3 - j**3).
109*j**5
Expand (0 - 2 + 3)*(-1 + 0 - 2)*(6*o**4 - 4*o**4 + 0*o**4).
-6*o**4
Expand (-2*x + 2*x + x)*(-2*x**3 + 3*x**3 + 0*x**3) + 2*x**4 + x**4 - 2*x**4 + 23*x + x**4 - 23*x + 2*x**4 - x**4 - 3*x**4.
x**4
Expand (-7 + 16 - 36)*(1 - 1 + 3*q + 2)*(2*q**3 - 3*q**3 + 2*q**3).
-81*q**4 - 54*q**3
Expand (6*v**3 - 3*v**2 + 0*v**2 - 5*v**3)*(13*v + v - 6*v) + v**4 + 0*v + 0*v.
9*v**4 - 24*v**3
Expand ((2*g + 0 + 0)*(-3 + 4 + 0) + 2*g - 4*g + 3*g)*(-95*g**4 + 384*g**4 + 282*g**4).
1713*g**5
Expand ((2*o + 472 - 468 + 2*o)*(-2 + 3 + 0) + (3*o - o - 4*o)*(-4 + 1 + 4))*(0 - 1 + 3).
4*o + 8
Expand (-1 - z**3 + 1)*(1771*z**2 + 636*z**2 - 640*z**2) + 3*z**5 - 4*z**5 + 2*z**5.
-1766*z**5
Expand (-f + 0*f + 2*f)*(2*f - f - 2*f) + f - f - 2*f**2 - 33*f**2 + 13*f**2 - 9*f**2 + 0*f**2 - 2*f**2 + 6*f**2.
-28*f**2
Expand (6 + 2 - 3)*(3*d + 2*d - 7*d)*(4*d**3 + 5*d**2 - 4*d**2 - d**3).
-30*d**4 - 10*d**3
Expand (-5*g - 6*g + 18*g + 6)*(-3 - 6 + 7)*(0 + 0 - 1).
14*g + 12
Expand -6*z + 9*z + 0*z**4 - 2*z**4 - 1 - 2*z**4 - 2 + 2 + (0*z - z**3 + 0*z)*(4 - z - 4) - 1 + 1 - z**4 + 3*z**4 + 2*z**4 - z**4 + z**4 + 4*z**4 + z**4.
6*z**4 + 3*z - 1
Expand (3*n**4 + n**2 - 4*n**4 + 0*n**4)*(0 + 1 - 2 + (-2 + 4 + 0)*(-4 + 15 + 5)).
-31*n**4 + 31*n**2
Expand (-134*t + 71*t + 72*t)*(4 + 0 - 3)*(-4*t**2 - 1 + 3 + 7*t**2).
27*t**3 + 18*t
Expand ((f + 0 + 0)*(0 + 2*f + 0) + 32 + 104*f**2 - 32)*(-f**3 + 4*f**3 - 2*f**3).
106*f**5
Expand (-2*o + 3*o - 2*o)*(-28*o - 6*o + 7*o)*(-1 - o**2 + 1).
-27*o**4
Expand -127 + 127 + 10*t**4 + 7*t**2 + (2*t**2 - t**2 + 0*t**2)*(-6*t**2 + 9 - 9).
4*t**4 + 7*t**2
Expand (-q**3 + 2*q**3 + q**3)*(10 - 8 + 8) + 2*q**3 + 4*q - 4*q + (1 - 2 + 3)*(0*q**3 - q**3 + 3*q**3) + q**3 - 2 + 2.
27*q**3
Expand (34 - 17 - 74)*(-5*z**4 - 2*z**4 - z**4).
456*z**4
Expand 4*g**2 - 3*g**4 - 4*g**2 - 2*g**4 - 2*g**4 + 6*g**4 + (-2*g + 0*g + 4*g)*(-3*g**2 + 3*g**2 + 2*g**3) + 0*g**3 + 0*g**3 - g**4 + 4*g**4 + 3*g**4 - 4*g**4.
5*g**4
Expand 0*r + 0*r + 2*r**4 + (0*r**2 + r**4 + 0*r**2)*(-3 - 4 + 3 + (-7 + 2 - 1)*(0 - 2 + 4) - 1 + 10 + 0).
-5*r**4
Expand (-16*d + 6*d + 26*d)*(-3*d + 2*d + 2*d + (0*d - 3*d + d)*(4 - 3 + 1) + 2*d - 4*d + d + 0*d + d + d)*(-2*d + 2*d + 7*d).
-224*d**3
Expand (2*y**2 - y**2 + 0*y**2)*(-y**3 - y**3 + 53*y - 42*y).
-2*y**5 + 11*y**3
Expand 2*x - 2*x - x**5 + ((-4 + 2 + 1)*(-45*x**4 - 91*x**4 - 9*x**4) - 2*x**4 + x**4 + 4*x**4)*(-x + 0*x - x).
-297*x**5
Expand (-5 + 6 + 19)*(-3 + d**2 - 1 + 29) - 5 + 5 - d**2.
19*d**2 + 500
Expand (2*l**2 + 4*l**2 - 4*l**2)*(-l - 42*l**2 - l + 0*l).
-84*l**4 - 4*l**3
Expand (2*o - 8*o - 4*o)*(1 + 1 + 0).
-20*o
Expand (2*u**2 + 2 - 2*u**2 + 3*u**2)*(-84 + 67 + 2*u + 0*u - 3*u**3).
-9*u**5 - 51*u**2 + 4*u - 34
Expand (-5 + 7*v**3 + 16*v - 15*v - 2*v**3)*(0 - 1 + 3).
10*v**3 + 2*v - 10
Expand (2 - 10 + 47)*(-4 + 2*i + 4)*(-i**2 + i**2 + 3*i - i**2 + 3).
-78*i**3 + 234*i**2 + 234*i
Expand (-2*k + 5*k**4 - 3*k**4 + k**4)*(2*k + 6*k - 4*k + 5*k + 3 - 3 + (-2*k - k + k)*(-1 - 4 + 6)).
21*k**5 - 14*k**2
Expand (-27*w**4 - 850*w + 850*w)*(-15 - 10*w + 15).
270*w**5
Expand -2*b**2 + 2 - 2 + b**2 + b**2 + 0*b**2 + (-3*b + 7*b + 0*b)*(-24 + 24 - 11*b) + 2 + 4*b**2 - 2.
-40*b**2
Expand 3*p**4 - 5*p**4 + 3*p**4 + (-5*p + 2*p + 5*p)*(0*p - 2*p**3 + 0*p) - p + p + 2*p**4 + (p**3 + 2*p**3 - p**3)*(-21 + 7*p - 17*p + 6*p).
-9*p**4 - 42*p**3
Expand (-2*b - b - b)*(0 + 9 - 1 - 2 + 5 - 1 + 3 + 2 - 4 + (1 - 1 + 2)*(2 + 1 - 2) + 2 - 1 + 1 + 5 - 5 - 2 + 4 - 1 - 7) + 2*b - 5*b + b.
-38*b
Expand (26 + 97 + 95 + 189 + 105)*(1 + 2*w - 1).
1024*w
Expand 302*y**4 - 351*y**4 - 481*y**4 + (y**3 - y**3 - 2*y**3)*(y + 4*y - 6*y).
-528*y**4
Expand (20*o + 38*o - 48*o)*(0*o + 20 - 21 - 4*o + o**2).
10*o**3 - 40*o**2 - 10*o
Expand -19*o**4 - 52*o + 110*o - 58*o + (-6*o + 0*o + 4*o)*(-13*o + 2*o**3 + 13*o).
-23*o**4
Expand (-25*d + 20*d + 31*d)*(4*d**2 - 20*d**2 - 11*d**2).
-702*d**3
Expand (-14*h + 3*h - 7*h)*(3*h**2 + 2*h**2 - 3*h**2) + (-3*h + 2 - 2)*(-h**2 - 1 + 1).
-33*h**3
Expand (0*y + 2*y - y)*(23*y - 4*y**2 - 23*y)*(-6*y - y - 7*y).
56*y**4
Expand (223*f - 2*f**3 - 223*f)*(3 - 3 + f**2 - 3*f**2 - f**2 + 2*f**2 + (1 + 1 + 0)*(-3*f**2 + 3*f - 3*f)).
14*f**5
Expand -1018*p**2 + 32*p**3 + 1018*p**2 + (0 - p**2 + 0)*(-4*p + 2*p + 0*p).
34*p**3
Expand -2*l**2 + 0 + 0 + (2*l + 6*l - 5*l)*(3*l + 1 - 1) - 2*l + 4*l**2 + 2*l.
11*l**2
Expand (-2*m**3 + 0*m**3 + 0*m**3 + 3*m**3 + 2*m**3 - 3*m**3 + (-3*m + m + 4*m)*(3*m**2 - m**2 + 0*m**2))*(-4 + 2 + 3 + (-10 + 19 + 17)*(2 - 1 - 2)).
-100*m**3
Expand (-r**2 + 4*r**2 + 3 - 2)*(-8 - 6 + 4)*(-5 + 1 + 1).
90*r**2 + 30
Expand (2*z**2 + 3*z**2 - 3*z**2)*(8*z + 2*z - 3*z + (2*z + 0 + 0)*(0 - 10 - 6)).
-50*z**3
Expand (0*j**2 - 22*j**2 - 8*j**2)*(-j - j + j + (3 + 1 - 3)*(2*j - 3*j - j) + 0*j - 4*j + 2*j + j + 2*j - 5*j).
210*j**3
Expand (3402*d - 3402*d + 105*d**2)*(-3*d + 3*d + 2*d**3).
210*d**5
Expand (6 + f**3 - 6)*(-10 + 6 + 8 + (-3 + 4 + 7)*(-4 + 4 + 1)).
12*f**3
Expand (3*g + g - 5*g)*(-4 - 4*g + 4)*(-3*g + 0*g + 2*g)*(0 + 2 - 4) + 9*g**3 + g**3 + 0*g**3.
18*g**3
Expand (0*g + 0*g + 2*g)*(5*g - 8 + 8) + 2*g**2 + 2*g**2 - 5*g**2 + 8*g**2 - 24*g + 24*g.
17*g**2
Expand (3 - 3 + 1)*(-q + q - 2*q) + 22 + 13*q - 8*q - q.
2*q + 22
Expand -t**5 - 3*t**5 - 4*t**5 - t**5 - t**5 + 4*t**5 + 3*t - 3*t + t**5 + (1 - 2*t**2 - 1)*(t**3 - 2*t**3 + 3*t**3) - 8*t**5 - 4*t + 4*t.
-17*t**5
Expand (-r - r + r)*(2*r + 0*r - 4*r)*(-r - 5*r + 3*r)*((-1 + 4 - 2)*(-3*r - 12 + 12) + r + 6*r - 5*r).
6*r**4
Expand (0 + 1 - 4 + (2 - 3 - 1)*(-2 - 2 + 5) + 2 + 2 - 5 - 1 + 0 + 2 - 1 + 5 - 2 + 1 + 2 - 1 + 2 - 1 - 2)*(-u**4 - u + u).
2*u**4
Expand 2*n - n + 2*n**4 - 2*n + 3*n**4 - 3*n + 3*n + (n - 3*n + 3*n)*(4*n**3 - 5*n**3 + 0*n**3).
4*n**4 - n
Expand (-4 - 3 + 2)*(-1 + 0 + 2)*(-3*g + 3*g + 2*g)*(6*g + 1 - 1).
-60*g**2
Expand (-3*g + g - g)*(-398 - 159 + 57).
1500*g
Expand (0*y - 6*y + 3*y)*(3*y**2 - 6*y**2 + 5*y**2 + (-3 + 2 + 3)*(-2*y**2 + 3 - 3))*(-2*y - 3*y | {
"pile_set_name": "DM Mathematics"
} |
Is 3586 a multiple of 27?
False
Is 1675 a multiple of 15?
False
Is 1002 a multiple of 4?
False
Is 11 a factor of 167?
False
Is 3 a factor of 348?
True
Does 6 divide 1519?
False
Is 90 a factor of 1643?
False
Does 40 divide 908?
False
Is 154 a multiple of 14?
True
Is 17270 a multiple of 22?
True
Is 12 a factor of 2556?
True
Does 75 divide 13425?
True
Does 215 divide 4085?
True
Is 5538 a multiple of 78?
True
Is 6912 a multiple of 54?
True
Is 25 a factor of 4507?
False
Is 96 a factor of 16032?
True
Is 9073 a multiple of 211?
True
Is 9822 a multiple of 210?
False
Does 17 divide 10873?
False
Is 7 a factor of 756?
True
Is 17 a factor of 9491?
False
Is 1252 a multiple of 9?
False
Is 14 a factor of 975?
False
Is 5 a factor of 62?
False
Does 22 divide 182?
False
Is 8 a factor of 304?
True
Is 434 a multiple of 77?
False
Does 73 divide 2005?
False
Does 55 divide 331?
False
Does 20 divide 884?
False
Is 16 a factor of 1184?
True
Is 47 a factor of 58797?
True
Does 6 divide 27852?
True
Is 13 a factor of 2171?
True
Is 1234 a multiple of 66?
False
Does 59 divide 23360?
False
Does 24 divide 288?
True
Is 348 a multiple of 12?
True
Is 1726 a multiple of 26?
False
Does 87 divide 13833?
True
Is 75 a factor of 767?
False
Is 14 a factor of 644?
True
Does 18 divide 900?
True
Is 12 a factor of 873?
False
Is 12 a factor of 852?
True
Does 2 divide 2343?
False
Does 13 divide 7232?
False
Does 52 divide 6812?
True
Does 52 divide 26988?
True
Does 141 divide 2504?
False
Is 696 a multiple of 5?
False
Is 74 a multiple of 7?
False
Does 16 divide 1520?
True
Is 35456 a multiple of 34?
False
Is 34 a factor of 340?
True
Is 10 a factor of 28372?
False
Is 970 a multiple of 43?
False
Is 102 a multiple of 34?
True
Does 30 divide 1646?
False
Does 95 divide 894?
False
Is 23119 a multiple of 4?
False
Is 713 a multiple of 23?
True
Is 12 a factor of 10079?
False
Is 6 a factor of 34668?
True
Does 14 divide 24?
False
Is 13 a factor of 5200?
True
Is 58 a factor of 77661?
False
Is 66 a factor of 1188?
True
Is 2930 even?
True
Is 18 a factor of 395?
False
Is 1751 a multiple of 17?
True
Does 90 divide 5721?
False
Is 15 a factor of 44625?
True
Does 32 divide 49015?
False
Does 2 divide 139?
False
Is 5948 a multiple of 21?
False
Is 46 a factor of 3182?
False
Is 888 a multiple of 4?
True
Does 8 divide 372?
False
Does 14 divide 40?
False
Does 37 divide 1697?
False
Is 9 a factor of 1314?
True
Does 12 divide 43236?
True
Is 73 a factor of 12410?
True
Does 18 divide 762?
False
Is 65 a factor of 3056?
False
Is 17233 a multiple of 60?
False
Does 25 divide 350?
True
Is 10 a factor of 340?
True
Does 53 divide 40598?
True
Is 6 a factor of 9950?
False
Does 96 divide 1632?
True
Is 72 a factor of 51624?
True
Is 15 a factor of 11115?
True
Is 3335 a multiple of 109?
False
Is 17565 a multiple of 114?
False
Is 5 a factor of 2389?
False
Is 6 a factor of 6621?
False
Does 44 divide 8800?
True
Is 7 a factor of 322?
True
Is 21424 a multiple of 4?
True
Does 5 divide 2412?
False
Is 19 a factor of 5586?
True
Is 15 a factor of 1680?
True
Is 27 a factor of 918?
True
Is 76 a multiple of 6?
False
Is 10514 a multiple of 4?
False
Is 9316 a multiple of 39?
False
Is 583 a multiple of 53?
True
Does 6 divide 17112?
True
Does 22 divide 2706?
True
Is 69 a factor of 2898?
True
Is 1397 a multiple of 15?
False
Is 106 a factor of 13992?
True
Does 17 divide 343?
False
Is 22 a factor of 14784?
True
Is 6270 a multiple of 57?
True
Is 653 a multiple of 20?
False
Does 61 divide 44713?
True
Does 7 divide 292?
False
Does 6 divide 38?
False
Is 2622 a multiple of 69?
True
Is 3857 a multiple of 29?
True
Is 21027 a multiple of 129?
True
Is 65395 a multiple of 25?
False
Is 190 a factor of 23940?
True
Does 61 divide 1769?
True
Is 490 a multiple of 10?
True
Is 4 a factor of 472?
True
Does 13 divide 754?
True
Is 45 a factor of 1717?
False
Is 47952 a multiple of 148?
True
Is 18 a factor of 960?
False
Is 23449 a multiple of 18?
False
Is 4500 a multiple of 150?
True
Is 5 a factor of 3270?
True
Is 1511 a multiple of 6?
False
Is 1740 a multiple of 15?
True
Does 166 divide 47790?
False
Is 11 a factor of 7032?
False
Is 29 a factor of 1479?
True
Is 37 a factor of 22866?
True
Is 27173 a multiple of 23?
False
Is 141 a factor of 21009?
True
Does 95 divide 2672?
False
Is 14 a factor of 14532?
True
Is 6380 a multiple of 15?
False
Does 34 divide 517?
False
Does 9 divide 5041?
False
Is 45532 a multiple of 21?
False
Is 16 a factor of 67498?
False
Does 14 divide 42?
True
Is 14 a factor of 510?
False
Is 2 a factor of 4852?
True
Is 10 a factor of 5080?
True
Is 14 a factor of 1260?
True
Is 247 a multiple of 8?
False
Is 74 a factor of 370?
True
Is 19212 a multiple of 76?
False
Does 107 divide 4494?
True
Is 331 a multiple of 67?
False
Is 5 a factor of 536?
False
Is 12600 a multiple of 9?
True
Does 42 divide 1764?
True
Is 4980 a multiple of 15?
True
Is 29 a factor of 1107?
False
Is 875 a multiple of 25?
True
Is 52 a factor of 12584?
True
Does 10 divide 1171?
False
Is 39083 a multiple of 21?
False
Is 143 a factor of 29887?
True
Does 4 divide 448?
True
Is 498 a multiple of 29?
False
Does 108 divide 11274?
False
Does 47 divide 15792?
True
Does 8 divide 356?
False
Is 32 a factor of 45542?
False
Is 18 a factor of 1332?
True
Does 58 divide 2030?
True
Is 9 a factor of 783?
True
Does 7 divide 42553?
True
Is 3275 a multiple of 25?
True
Is 81 a factor of 6369?
False
Is 1003 a multiple of 15?
False
Is 16 a factor of 8830?
False
Is 45 a factor of 630?
True
Is 129 a multiple of 30?
False
Does 15 divide 13807?
False
Is 42 a factor of 156408?
True
Does 7 divide 1052?
False
Is 180 a multiple of 8?
False
Is 1190 a multiple of 70?
True
Is 2321 a multiple of 8?
False
Is 44 a multiple of 7?
False
Does 14 divide 3012?
False
Is 13140 a multiple of 73?
True
Does 38 divide 342?
True
Is 38130 a multiple of 15?
True
Is 562 a multiple of 9?
False
Is 18 a factor of 2538?
True
Does 9 divide 6750?
True
Is 14749 a multiple of 49?
True
Is 7 a factor of 13?
False
Is 31 a factor of 31?
True
Is 11708 a multiple of 148?
False
Does 13 divide 5772?
True
Is 8666 a multiple of 29?
False
Is 13 a factor of 494?
True
Is 5191 a multiple of 15?
False
Is 9 a factor of 418?
False
Does 30 divide 720?
True
Is 91 a factor of 49868?
True
Is 837 a multiple of 9?
True
Is 5016 a multiple of 14?
False
Does 29 divide 8743?
False
Is 243 a multiple of 9?
True
Does 6 divide 846?
True
Does 29 divide 2632?
False
Is 91 a factor of 34125?
True
Does 13 divide 377?
True
Does 158 divide 52772?
True
Is 9346 a multiple of 51?
False
Is 22 a factor of 374?
True
Is 17 a factor of 527?
True
Does 63 divide 189?
True
Is 135 a multiple of 13?
False
Is 1440 a multiple of 45?
True
Does 19 divide 2755?
True
Is 20 a factor of 410?
False
Is 2 a factor of 7739?
False
Does 231 divide 104779?
False
Is 14271 a multiple of 71?
True
Is 60442 a multiple of 47?
True
Does 50 divide 4100?
True
Does 367 divide 43673?
True
Is 29874 a multiple of 13?
True
Is 71 a factor of 11644?
True
Does 4 divide 198?
False
Is 7242 a multiple of 6?
True
Is 98 a factor of 51548?
True
Is 5252 a multiple of 26?
True
Does 22 divide 16224?
False
Is 31 a factor of 2108?
True
Does 25 divide 13227?
False
Does 5 divide 12680?
True
Is 14079 a multiple of 2?
False
Is 10570 a multiple of 151?
True
Does 54 divide 1512?
True
Is 300 a multiple of 6?
True
Does 15 divide 10005?
True
Does 12 divide 228?
True
Is 6 a factor of 35?
False
Is 1899 a multiple of 67?
False
Is 3520 a multiple of 16?
True
Is 52 a multiple of 6?
False
Does 61 divide 18898?
False
Does 49 divide 539?
True
Is 1173 a multiple of 6?
False
Is 2 a factor of 886?
True
Is 46 a factor of 9522?
True
Is 8 a factor of 3339?
False
Does 23 divide 2875?
True
Is 12524 a multiple of 4?
True
Is 48 a factor of 614?
False
Is 153 a factor of 18054?
True
Does 6 divide 448?
False
Does 40 divide 34998?
False
Is 215 a multiple of 30?
False
Is 48937 a multiple of 111?
False
Is 13605 a multiple of 23?
False
Does 171 divide 63667?
False
Is 13 a factor of 3562?
True
Is 555 a multiple of 24?
False
Is 2026 a multiple of 28?
False
Is 116 a factor of 49228?
False
Is 27291 a multiple of 33?
True
Is 40 a factor of 3720?
True
Does 31 divide 50013?
False
Is 70 a multiple of 10?
True
Does 13 divide 65?
True
Is 2220 a multiple of 30?
True
Does 92 divide 5244?
True
I | {
"pile_set_name": "DM Mathematics"
} |
3). Let h = w - y. What is h rounded to the nearest 1000000?
5000000
Let d = -5.12 + 5. Let c = d + 0.07. Let a = c - -0.08. What is a rounded to two decimal places?
0.03
Let t = 2.09999912 + -2.1. Round t to 7 dps.
-0.0000009
Let k = 1396 - 923. Suppose 2*i = k + 1743. Suppose -1092 = s + i. What is s rounded to the nearest one thousand?
-2000
Let k = -0.68193909 + 365.93426909. Let c = -349.252339 + k. Let r = 16 - c. Round r to 5 decimal places.
0.00001
Let q = 3 + -2.4. Let n = 0.59969 - q. What is n rounded to 4 decimal places?
-0.0003
Let o = 7666218.44 + 678.56. Let q = -7666835.99951 + o. Let i = -61 + q. Round i to 4 dps.
0.0005
Let p = -0.45 + 0.438. Round p to three decimal places.
-0.012
Let h = 80 + -79.9776. What is h rounded to 3 decimal places?
0.022
Suppose 2*p + 170627 = -169373. What is p rounded to the nearest one hundred thousand?
-200000
Let l = -354.7 + 422. Round l to the nearest 10.
70
Let q = -1.066 + -63.034. Let k = q + 51. Let p = 5 + k. What is p rounded to 0 dps?
-8
Let g = -53 + 52.99976. Round g to four dps.
-0.0002
Suppose -7268 = -5*d + d. Let w = d - -43183. Round w to the nearest 10000.
50000
Let b = -0.129051 - -0.029008. Let i = -0.5 - -0.4. Let q = i - b. Round q to five dps.
0.00004
Let k = 2.547881922 - 0.197883192. Let z = 2.35 - k. What is z rounded to seven decimal places?
0.0000013
Let g(f) = 36*f. Suppose 12 = 3*s + 2*s - 2*y, 3*s - 4 = 2*y. Suppose 20 - 8 = s*c. Let r be g(c). What is r rounded to the nearest ten?
110
Let f = 162.0000714 - 162. What is f rounded to five decimal places?
0.00007
Suppose 5516 - 1646 = w. Round w to the nearest one thousand.
4000
Let z = 423 + 186. Let g = z - 109. Let w be g*60 + 1 + -1. What is w rounded to the nearest 10000?
30000
Let r = -190.6 - -176. Round r to zero decimal places.
-15
Let k = 6 + -5.99912. Round k to 4 decimal places.
0.0009
Let k = -1232888.1 - -1232887.2099929. Let o = 218.11 - 219. Let v = k - o. What is v rounded to 6 dps?
-0.000007
Let j = 0.3 - -0.5. Let n = j - 0.80025. Round n to 4 dps.
-0.0003
Let i = 530.272801 - 517.2728. Let w = i + -13. Round w to six decimal places.
0.000001
Let l = -0.0402 - -0.0401787. What is l rounded to 6 dps?
-0.000021
Suppose l = -4*r + 8, l - 18 - 6 = 4*r. Let t be 88/l - (-6)/(-4). Suppose 5*j - 1115 = f + 4*f, 865 = -t*f - 5*j. What is f rounded to the nearest 100?
-200
Let d = -0.08 - -95.08. Let g = d - 95.0000079. What is g rounded to six decimal places?
-0.000008
Let f be -5*(-126 + (4 - (-36)/(-10))). What is f rounded to the nearest 10?
630
Let j = 4.5 - 4. Let t = j - 4.2. What is t rounded to 0 dps?
-4
Suppose 9*m - 15153175 = 4*m. Let p = -1380635 + m. What is p rounded to the nearest one hundred thousand?
1700000
Let a = -25.1 + 4.5. Let y = a - -19. Round y to 0 dps.
-2
Let k be (-4 - 16048/(-12))*-96. What is k rounded to the nearest 10000?
-130000
Let m = -29246 + 646. Round m to the nearest 10000.
-30000
Let u = 2676.655 + -13412.704. Let l = u + 10783. Let c = -47 + l. What is c rounded to 2 dps?
-0.05
Let v = 25.0412 - 15.03. Let g = 9.4 + 0.6. Let o = v - g. Round o to three decimal places.
0.011
Suppose m - 3*m - k + 7 = 0, -2*k + 2 = 0. Suppose 0 = -v - 3*i + 1515453 + 1584535, 0 = m*v + 5*i - 9299980. Round v to the nearest one million.
3000000
Let y = 13.4 - 2.4. Let b = 2383263 + -2383273.999944. Let x = b + y. What is x rounded to five dps?
0.00006
Let q = 806900.2999978 - 806899. Let m = q - 1.3. Round m to 6 decimal places.
-0.000002
Let f = -21503 - -21514.101. Let w = f + 0.099. What is w rounded to 0 dps?
11
Let h = -21 + 20.35. What is h rounded to 1 dp?
-0.7
Let q = 61 + -61.0051. What is q rounded to 3 dps?
-0.005
Let z = -191662 - -461662. Round z to the nearest one hundred thousand.
300000
Let t = 4.9 - -34.1. Let c = 37.51 - t. Round c to one decimal place.
-1.5
Suppose 0 = -4*p + 5*h - 7295, 3*p = 2*p - 3*h - 1811. What is p rounded to the nearest one hundred?
-1800
Let v = 7.9437119 + 0.0568781. Let l = -8.8 - -0.8. Let f = l + v. Round f to 4 decimal places.
0.0006
Let m = 0.021 + -1.821. Round m to zero dps.
-2
Let u = 2.56872157 - -22.43127749. Let t = u - 25. What is t rounded to seven dps?
-0.0000009
Let u = -131.13 - -130. What is u rounded to one dp?
-1.1
Let n = -129.999963 - -130. What is n rounded to five dps?
0.00004
Let q = 18523 + -11797. Suppose c = -c + q. Let g = c + -363. What is g rounded to the nearest 10000?
0
Let r = 1198818.30453 + -1198936.4. Let g = 115.7954662 + r. Let f = g - -2.3. What is f rounded to 6 decimal places?
-0.000004
Let a(y) = 3*y**2 - 3*y - 2. Let p be a(-1). Suppose p*u + 14800 = 2*u. Round u to the nearest one thousand.
-7000
Let b = 3 - 6. Let p = b + 2.9. Let i = 0.09999 + p. Round i to 5 decimal places.
-0.00001
Let b(w) = -w**3 - w**2 - w + 8700. Suppose y + 5*a = 15, 1 + 14 = -2*y + 5*a. Let m be b(y). What is m rounded to the nearest one thousand?
9000
Let t = 1130 + -1130.673. What is t rounded to one decimal place?
-0.7
Let k = 2.298 + 0.55. Let h = -61 + 63.9. Let z = h - k. Round z to 2 dps.
0.05
Let q = 23 - -17. Let c = q - 40.033. What is c rounded to 2 decimal places?
-0.03
Let h = 0.67 + 0.19. Let w = 1.59 - h. Let q = 0.07 + w. What is q rounded to one decimal place?
0.8
Let q = -1803118.9000003 - -1803119. Let d = q + -0.1. What is d rounded to 7 decimal places?
-0.0000003
Let h = 0.25 + 0.27. Let u = h + -0.17. Round u to 1 dp.
0.4
Suppose -v - 3 = -2*k, k - v - 2 = -1. Let u be 1 - 3/(-5 + k). Suppose -x - 5 = -u, 4*x + 94012 = 2*z. Round z to the nearest 10000.
50000
Let w = 14 - 14.45. Let m = w - -0.44999735. Round m to seven dps.
-0.0000027
Let u(y) = y**3 - 6*y**2 + 3*y + 12. Let g be u(5). Suppose g*c + 1114 = -3*o + 51, 4*c + 2121 = -o. Round c to the nearest one hundred.
-500
Suppose 7*o = 6*o - 4800. Round o to the nearest 1000.
-5000
Let r be (92 - (-9)/3)/(-1). Round r to the nearest ten.
-100
Let u = 1.8244 - -13.9646. Let h = u + -0.189. Let k = h - 15.60103. What is k rounded to four decimal places?
-0.001
Let c = -0.128 - -0.128415. What is c rounded to 5 decimal places?
0.00042
Suppose -745827 - 854879 = -2*t. Suppose -t = -3*w - 230353. Round w to the nearest 10000.
190000
Let h = 381.0000306 + -381. Round h to 6 decimal places.
0.000031
Let g = -458 - -708. Round g to the nearest 100.
300
Let h = -21.9 - -12.2. Let m = h - -8.33. What is m rounded to one decimal place?
-1.4
Let k = 2.09 - 213.959. Let f = 212 + k. Let j = -0.130882 + f. What is j rounded to five dps?
0.00012
Suppose w - 1063 - 34 = 0. Let c be w + 9/(6/2). Round c to the nearest 1000.
1000
Let v = 1.5 - -2.7. Let d = v - 5. Let r = -0.80003 - d. What is r rounded to 5 decimal places?
-0.00003
Let u = -240994 - -121527. Let a = u - -119417.949. Let y = a - -49. What is y rounded to two decimal places?
-0.05
Let j = -8.15 - -8. Let f = 0.1487 + j. Round f to 3 decimal places.
-0.001
Let j = -9 + 9.0000065. Round j to 6 dps.
0.000007
Let r be 22/5 + 4/(-10). Suppose -r*k - 1470000 = -k. What is k rounded to the nearest one hundred thousand?
-500000
Let i = 39106396819 - 39108109658.9949. Let p = i - -1712762. Let j = -78 - p. Round j to 3 decimal places.
-0.005
Suppose -5*r = 3*q - 1536, 2*r - 3*q - 1524 = -3*r. Suppose -z - r = 5*x, 2*x - 54 = 3*x + 2*z. What is x rounded to the nearest 10?
-60
Let k = -34.4137 + 0.0337. Let m = 35 + k. Round m to 1 dp.
0.6
Suppose 3 + 31 = z + 4*g, 0 = 4*g - 12. Let m = z + 0. Let v be (-6)/(-33) + 788/m. What is v rounded to the nearest ten?
40
Let r = 950 + -950.000417. Round r to 4 decimal places.
-0.0004
Let n = -1.072 + -0.108. Let z = n + 1.17999794. Round z to seven decimal places.
-0.0000021
Let q = 13 - 4. Let y be (-66)/((-4)/(120/q)). What is y rounded to the nearest 10?
220
Let o be (-4)/(-10) + (-69)/(-15). Suppose -o*x - 300 = -2*x. Round x to the nearest one thousand.
0
Let m = 46 - -16. Let b = -62.0083 + m. Round b to three decimal places.
-0.008
Let b be -2 + (-2 + 99779 - -1). Suppose -2*s = b + 60224. What is s rounded to the nearest 10000?
-80000
Let r = 535.948 - 539. Let q = r + 3. Round q to two dps.
-0.05
Let c = -21.06 + 21. Let l = -1 - c. Round l to one dp.
-0.9
Let x = -0.3709400137 + -195.6290696863. Let u = x - -196. Round u to 6 dps.
-0.00001
Let l = 185 | {
"pile_set_name": "DM Mathematics"
} |
**2 - 2*l + 5. Let h(b) = b**3 - 8*b**2 - 18*b - 2. Let y be h(10). Let s(a) = -4 - 13 + y. What is -5*s(d) + v(d)?
d**2 - 2*d
Let y(j) = j**2 - 96*j + 451. Let l be y(5). Let i(d) = d**3 - d**2 - d. Let r(k) = -k**3 - 4*k**2 - 4*k + 2. Give l*i(o) + r(o).
-5*o**3 + 2
Let y(a) = -90*a + 1. Let j(z) = -1136*z - 24. Calculate 2*j(u) - 24*y(u).
-112*u - 72
Let j(r) = -8*r**2 + 17*r. Let g(l) = 4*l**2 - 9*l. Let m be 7 - 0/((-252)/(-21)). What is m*g(v) + 4*j(v)?
-4*v**2 + 5*v
Let w(v) = 2*v**3 - 32*v - 5. Let a(d) = d**3 - 16*d - 2. Let j(i) = -32*i**2 - 39*i - 2. Let r be j(-1). What is r*a(n) - 2*w(n)?
n**3 - 16*n
Let r(i) be the first derivative of -i**4/4 - 7*i**3/3 - i**2 + 2*i - 2587. Let g(s) = -3*s**3 - 15*s**2 - 5*s + 5. Calculate 4*g(x) - 10*r(x).
-2*x**3 + 10*x**2
Let x(d) = -87*d - 163. Let v(t) = 114*t + 218. Calculate -7*v(j) - 9*x(j).
-15*j - 59
Let f(x) = 83*x**2 + 71*x + 6. Let h(v) = 27*v**2 + 23*v + 2. Determine 3*f(d) - 8*h(d).
33*d**2 + 29*d + 2
Let d(i) = -2531*i**2 - 3*i - 2. Let k(z) = -5050*z**2 - 8*z - 5. Give -5*d(w) + 2*k(w).
2555*w**2 - w
Let g(r) = -19*r**2 - 15*r + 7. Let h(i) = 27*i**2 + 61*i - 29. Let t(d) = 18*d**2 + 42*d - 20. Let p(q) = -7*h(q) + 10*t(q). Determine -6*g(k) + 13*p(k).
-3*k**2 - k - 3
Let w = -55 - -26. Let n = w + 30. Let g(u) = 7. Let q(b) = 6. Let j(x) = -5*g(x) + 6*q(x). Let l(v) = -v**2 + 2*v - 8. Determine n*l(a) + 6*j(a).
-a**2 + 2*a - 2
Let u(v) = 298*v - 4. Let t(l) = 299*l - 7. Give 2*t(y) - 3*u(y).
-296*y - 2
Let i(v) = 1706*v - 9. Let o(b) = -7*b + 1. Determine -i(k) - 8*o(k).
-1650*k + 1
Let a(n) = 7*n**3 - 60*n + 12. Let p(k) = -15*k**3 + 130*k - 26. Let y(j) = -13*a(j) - 6*p(j). Let u(r) = 4*r**3 - r**2 + 3*r + 7. Determine u(g) + 3*y(g).
g**3 - g**2 + 3*g + 7
Let r(u) = u - 1. Let m(p) = -23*p**2 + 6*p - 6. Let o(f) = 63*f - 1826. Let b be o(29). What is b*m(k) - 6*r(k)?
-23*k**2
Let h(x) = 2*x**2 - 39*x + 56. Let c(n) = 6*n**2 - 118*n + 170. What is 5*c(l) - 16*h(l)?
-2*l**2 + 34*l - 46
Let h(g) = 3*g + 4 - 3 + 0*g + g. Suppose 13 = 3*z - 50. Let i = 17 - z. Let p(o) = -3*o - 1. Calculate i*h(a) - 5*p(a).
-a + 1
Let m(o) = 33*o**2 + 56. Let u(r) = r**2 - 5. What is 6*m(j) + 66*u(j)?
264*j**2 + 6
Let b(z) = z + 9. Let g(t) = 2*t + 17. Let f be 16/(-2) - (15 + 234/(-13)). Calculate f*b(n) + 2*g(n).
-n - 11
Let j(t) = -t + 19. Let f(c) = 296*c - 45. Determine f(i) + 3*j(i).
293*i + 12
Let y(f) = 5*f**2 + 4*f + 13. Let l(v) be the first derivative of 11*v**3/3 + 9*v**2/2 + 27*v - 3988. Let h = -29 - -25. Calculate h*l(q) + 9*y(q).
q**2 + 9
Let d(a) = -6*a + 21. Let t(f) = -f**2 - 8*f - 4. Let c be t(-5). Suppose -56*u = -54*u - 60. Let o(v) = 29*v + 0 - u*v + 4. What is c*o(g) - 2*d(g)?
g + 2
Let s(c) = -6*c**3 - c**2 - 14*c - 13. Let o be s(-1). Let f(q) = 8*q - 8. Let m(z) = 1. Calculate o*m(n) + f(n).
8*n - 2
Let v(u) = u + 3. Let h(n) = 14*n + 1. Determine -h(k) - 5*v(k).
-19*k - 16
Let z(k) = -2*k + 2268 - 6810 + 2274 + 2265 + 0*k - 4*k**2. Let m(c) = -7*c**2 - 4*c - 5. Let g(y) = y**2 - 5*y - 5. Let q be g(5). What is q*z(i) + 3*m(i)?
-i**2 - 2*i
Let i = -37 - -40. Suppose -i*t + a + 26 = 8, 3*a - 11 = -4*t. Let n(c) = -4*c**3 - 5*c**2 - 5*c + 7. Let w(d) = -d**3 - d**2 - d + 1. Give t*w(l) - n(l).
-l**3 - 2
Let u(h) = -3*h**3 + 40*h**2 + 30*h - 25. Let w be u(14). Let j(s) = 2*s**3 - 4*s**2 + 4*s + 3. Let g(x) = -x**3 + 3*x**2 - 3*x - 2. Calculate w*g(o) + 2*j(o).
o**3 + o**2 - o
Let z(y) = 21*y**3 - 11*y**2 - 20*y + 14. Let i(h) = -3*h**3 + h**2 + 3*h - 2. Let l(b) = 5*i(b) + z(b). Let k(c) = -c**3 + c**2 + c - 1. Give -5*k(v) - l(v).
-v**3 + v**2 + 1
Suppose 4*o = o + 3. Suppose -12 = -22*i + 18*i. Let r(u) = -4. Let b(c) be the third derivative of c**4/24 + c**3/6 - 26*c**2. Calculate i*b(n) + o*r(n).
3*n - 1
Let s(r) = -5*r**2 + 13*r + 17. Let u = 37 + -25. Suppose 7*b - 9 = u. Let p(i) = -11 + b*i + 10 - i**2 + 5 + 0*i**2. Determine 9*p(n) - 2*s(n).
n**2 + n + 2
Let f(h) = -1827*h**2 - 4*h + 4. Let c(d) = -7905453*d**2 - 17307*d + 17307. What is 4*c(q) - 17307*f(q)?
-1923*q**2
Let t(d) = 13*d**3 - 4*d. Let z(x) = -26*x**3 + 9*x. Let q be 0 - -2 - (143 + -136). Calculate q*t(s) - 2*z(s).
-13*s**3 + 2*s
Let k(z) = 15*z**3 - 11*z**2 - 13*z + 22. Let w(c) be the second derivative of -7*c**5/20 + 5*c**4/12 + c**3 - 11*c**2/2 + 5353*c. Calculate -6*k(n) - 13*w(n).
n**3 + n**2 + 11
Let c(a) = a**3 - a**2 + a + 1. Let t(d) = 7 - 8*d**3 - 16*d + 1 - 14 - 10 + 16*d**2. Determine 48*c(v) + 3*t(v).
24*v**3
Let s(z) = -9697*z**2 - 5*z + 6. Let v(l) = -19390*l**2 - 12*l + 14. What is 7*s(r) - 3*v(r)?
-9709*r**2 + r
Let x(w) = 458250*w - 286. Let a(n) = 4823*n - 3. Determine -572*a(v) + 6*x(v).
-9256*v
Let m(q) = -120*q + 6. Let x(f) = 247*f - 12. Calculate -9*m(h) - 4*x(h).
92*h - 6
Let c = -146 - -86. Let k = c - -57. Let h(v) be the first derivative of -2*v**3/3 + 3*v - 1. Let b(d) = 10*d**2 - 14. Determine k*b(p) - 14*h(p).
-2*p**2
Let x(w) = -2*w**3 + w**2 - 6*w - 5. Let p = -140 - -140. Suppose 0 = -3*g - 6, i + p*g - 3 = -g. Let b(y) = y**3 + y + 1. What is i*b(c) + x(c)?
3*c**3 + c**2 - c
Let l(j) = -10. Let k(b) = 3*b**3 + 508*b**2 - 30. Give k(v) - 3*l(v).
3*v**3 + 508*v**2
Let k(z) = -114*z - 9. Let t(v) = -115*v - 9. What is -2*k(l) + 3*t(l)?
-117*l - 9
Let g(n) = -4*n**3 - n**2 - 7*n - 6. Let w be g(-2). Let k(h) = -6 + w*h**3 + 4 + 7 - 32*h**3. Let j = -13 + 6. Let f(m) = -6*m**3 - 7. What is j*k(s) - 5*f(s)?
2*s**3
Let o(u) = 16*u + 8. Suppose 0 = 5*m + 4*j + 5, -367*j - 22 = -4*m - 365*j. Let f(d) = 5*d + 3. Calculate m*o(v) - 8*f(v).
8*v
Let d(j) = 76 - 9 - 34 - 5*j - 20 + 5*j**2 - 16. Let s(n) = 6*n**2 - 5*n - 4. Give -3*d(v) + 2*s(v).
-3*v**2 + 5*v + 1
Let a(t) = -7*t - 3. Let x = 78 + -73. Let q be -2*28/(-8) + 1. Let h(w) = -16 + 33 + q*w - 13. Determine x*h(v) + 6*a(v).
-2*v + 2
Let f(x) = 2*x**2 + 13. Let i(v) = -2*v**2 - 12. Let m = -458 - -437. Let z be 1/(m/36*(-4)/(-14)). Determine z*i(a) - 5*f(a).
2*a**2 + 7
Let g be (-6)/((-30)/(-25)) - -7. Let k(u) = -4*u**2 + u - u**g + 6*u**2. Let i(f) = -1. Let d(h) = -2. Let o(z) = 2*d(z) - 5*i(z). Give -2*k(n) - o(n).
-2*n**2 - 2*n - 1
Let l(v) be the first derivative of v + 224. Let q = 6 + 3. Suppose 0 = 2*u + 3 - q. Let x(h) = -h**2 - 2. What is u*x(w) + 4*l(w)?
-3*w**2 - 2
Let o(w) = 119*w**3 + 8*w**2 - 8*w. Suppose 4808 = -15*p + 4883. Let k(i) = -79*i**3 - 5*i**2 + 5*i. Give p*o(u) + 8*k(u).
-37*u**3
Let d(l) = 1174130371*l**3 + 179663*l**2 + 179663. Let y(g) = 32676*g**3 + 5*g**2 + 5. Determine -5*d(j) + 179663*y(j).
16333*j**3
Let r(d) = 168 - 82 - d**2 - 88 - 3*d. Let p(g) = 2*g**2 + 10*g + 7. Calculate -2*p(x) - 7*r(x).
3*x**2 + x
Let j(y) = -4*y**3 - 19*y**2 + 33*y + 21. Let w be j(-6). Let m(d) = -d + 2. Let p(q) = -q + 3. Calculate w*p(t) - 4*m(t).
t + 1
Let n(k) = 33*k**3 - k**2 - 6*k - 3. Let y(q) = -35*q**3 + q**2 + 7*q + 4. Determine 4*n(a) + 3*y(a).
27*a**3 - a**2 - 3*a
Let y(u) = 83*u**2 - 12*u - 20. Let t(i) = 42*i**2 - 7*i - 8. Calculate 5*t(c) - 2*y(c).
44*c**2 - 11*c
Let g(w) = -2*w**3 - 7*w**2 + 75. Let h(l) = l**3 + 4*l**2 - 38. Let s = 4078 + -4071. Calculate s*h(d) + 4*g(d).
-d**3 + 34
Let q(w) = -6*w + 29. Let o(b) = -55*b - 3 - 27 + 62*b. Determine -4*o(d) - 5*q(d).
2*d - 25
Let w(s) = 2*s**2 + 16*s + 1. Let g(c) = -3*c**2 - 12*c - 4. Calculate 4*g(q) + 3*w(q).
-6*q**2 - 13
Let q = 6153 - 73835/12. Let j(i) be the second derivative of 15*i + i**2 + 0 + 0*i**3 + q*i**4. Let v(o) = -o - 2. Calculate 2*j(c) + 3*v(c).
2*c**2 - 3*c - 2
Let q(t) = t**2 + 51. Let r(a) = 13*a**2 + 203. Let m(k) = -4*q(k) + r(k). Let g(w) = -28*w**2 + 2. Determine 3*g(d) + 8*m(d).
-12*d**2 - 2
Let m(f) = 3*f + 2. Let a = -45 + 43. Suppose 0 = 4*d - 5*q + 17, -4*q + 30 = 5*d - 0*q. Let k(b) = b**d - 7*b - 4 - 1 - 5 + 5. Give a*k(p) - 5*m(p).
-2*p**2 - p
Let z(n) = 3*n**2 + 9*n - 2. Let j(o) = -o**2 + o + 1. Let t = 27898 + -27897. What is t*z(l) + 4*j(l)?
-l**2 + 13*l + 2
Let l(q) = 3721*q**3 - 10*q**2 - 13*q - 120. Let a(p) = 1241*p**3 - 3*p**2 - 4*p - 37. Determine -13*a(d) + 4*l(d).
-1249*d**3 - d**2 + 1
Let y(j) = -10*j**2 - 946*j - 45. Let p(z) = 3*z**2 + 315*z + 14. Determine 13*p(l) + 4*y(l).
-l**2 + 311*l + 2
Let z(s) = 6*s**3 - 26*s**2 + 46*s + 5. Let j(q) = -q**3 + 5*q**2 + q - 1. What is -5*j(o) - z(o | {
"pile_set_name": "DM Mathematics"
} |
-1 - ((sqrt(567) - (sqrt(567) + 1))*-1 + (sqrt(567) + sqrt(567) + -1*sqrt(567))*-4)))**2.
-2430*sqrt(7) + 46152
Simplify 3*(sqrt(10)/(sqrt(605) - sqrt(605)*-2)*1 + -4)*-1.
-sqrt(2)/11 + 12
Simplify (sqrt(102) - 4*(sqrt(102) - sqrt(102)*-2))/(-3*sqrt(6)*1).
11*sqrt(17)/3
Simplify -1 + (-6*(sqrt(304) + -5 + sqrt(304) + -1 + -6*-2*(0 + sqrt(19))))**2.
-8640*sqrt(19) + 274895
Simplify -5 + -2*(-5 + sqrt(24)/(sqrt(12) + ((sqrt(36)*2)/sqrt(3) - sqrt(12))) + 5).
-5 - sqrt(2)
Simplify -1 + -5*(sqrt(1620)/sqrt(10)*-2)**2.
-3241
Simplify (3 + (-1*sqrt(70))/sqrt(10) - (-1*sqrt(112))/sqrt(4))**2 + 5.
6*sqrt(7) + 21
Simplify (((sqrt(152) - sqrt(152)*-3)*-3 - sqrt(152)) + sqrt(152) - sqrt(152))/(sqrt(16)/sqrt(2)*2)*-6.
39*sqrt(19)
Simplify ((-5*-1*(sqrt(85) + sqrt(85)*1 + sqrt(85) + sqrt(85) + sqrt(85)))/((sqrt(220)/sqrt(4))/sqrt(11) + -3*sqrt(5)*-1))**2.
10625/16
Simplify (3*sqrt(600))/((sqrt(243)/sqrt(9))/sqrt(9)).
30*sqrt(2)
Simplify 1 + 4*(sqrt(240)/(sqrt(6)*2))/(sqrt(8) - sqrt(648)*-3).
sqrt(5)/14 + 1
Simplify (2*-2*sqrt(98)*2)**2*-5.
-31360
Simplify 2*(sqrt(242) - (sqrt(242) + 2 - sqrt(242))) - 4*(sqrt(12) - (sqrt(12)*-3 - sqrt(12)))/sqrt(6).
-4 + 2*sqrt(2)
Simplify (sqrt(55)/((2*sqrt(11) + sqrt(11))*-3))**2 + sqrt(35)/(-3*(sqrt(7)*-3 + sqrt(7))) + -5.
-400/81 + sqrt(5)/6
Simplify (sqrt(99) + (sqrt(99) - sqrt(99)*-2*3))/(-4*(sqrt(9) - (sqrt(9) - sqrt(18)/sqrt(2)))) + 0.
-2*sqrt(11)
Simplify (sqrt(76) + 4*(sqrt(76) + sqrt(76)*1 + sqrt(76) + sqrt(76) - sqrt(76)) - (sqrt(76) + 2*sqrt(76))*-6)/(5*-1*sqrt(4)*-1).
31*sqrt(19)/5
Simplify (-2*sqrt(19)*4 - sqrt(19) - -5*sqrt(95)/sqrt(5) - ((-2 + 0 + sqrt(19) - (1*sqrt(152) + sqrt(152) + sqrt(152))/sqrt(8)) + 5))**2.
12*sqrt(19) + 85
Simplify -5 + (2*sqrt(2880) - sqrt(2880))/(5*sqrt(12)/sqrt(3) - sqrt(4)) + -3.
-8 + 3*sqrt(5)
Simplify (sqrt(5324) - 5*(sqrt(5324) - (sqrt(5324)*2 - sqrt(5324))))/(sqrt(96)/sqrt(6) - sqrt(8)/sqrt(2)*3).
-11*sqrt(11)
Simplify sqrt(33)/sqrt(275) + sqrt(27)/(sqrt(36)/sqrt(4) + sqrt(9)) + (sqrt(300) + 1 + (sqrt(120)/sqrt(4) - sqrt(30))/sqrt(10))**2.
207*sqrt(3)/10 + 301
Simplify ((5 + sqrt(2) + 1 + (sqrt(2)*1 + -3 - sqrt(2)))**2 - (sqrt(2) + -1 + sqrt(8) + -2)) + -1.
3*sqrt(2) + 13
Simplify sqrt(2432)/sqrt(2)*-1 + ((sqrt(114) - (sqrt(114) + sqrt(114) + sqrt(114)*-2) - sqrt(114))/sqrt(6) + -3*(sqrt(171) + sqrt(19)))**2.
-8*sqrt(19) + 2736
Simplify (1 + sqrt(17) + sqrt(17)*-2 + -4 - (sqrt(2448) - -2*sqrt(2448) - (sqrt(204)/(sqrt(12)*1) + sqrt(17))))**2*-6.
-125004 - 1260*sqrt(17)
Simplify (sqrt(65) + (2*sqrt(65) - sqrt(65)))/sqrt(5) + -1 + (sqrt(208)*1)**2 + sqrt(39)/(sqrt(6)/sqrt(2)).
3*sqrt(13) + 207
Simplify (-5*((sqrt(243)*1*1 - sqrt(243)) + -6*(0 + sqrt(243)))*-4)**2.
3499200
Simplify -5*2*(((-2 + sqrt(2))*4)**2 + sqrt(2) - ((sqrt(16) - (sqrt(16)*-1 - sqrt(16)))/sqrt(8))**2).
-780 + 630*sqrt(2)
Simplify ((sqrt(1008) - (sqrt(1008) - (sqrt(1008)*1 + sqrt(1008)))) + -5 + ((1 + sqrt(1008))**2 + sqrt(1008))*6)*-5.
-30245 - 1200*sqrt(7)
Simplify (-3 + (1 + sqrt(176)*-1 + -2)*-5)**2.
80*sqrt(11) + 4404
Simplify -6*(6*(-3 + sqrt(1900)))**2*6.
-2474064 + 77760*sqrt(19)
Simplify ((sqrt(304) - (-1*sqrt(304) + -4)) + 1)**2 - ((sqrt(304) + sqrt(304) + -3 + sqrt(304)*-1)**2 - sqrt(304)*-2*1).
96*sqrt(19) + 928
Simplify (1*(sqrt(891) + 0 - sqrt(891))*-6 + -6*(-1*(sqrt(11) + -1) + ((1*sqrt(77))/sqrt(7) - sqrt(11))))**2.
-72*sqrt(11) + 432
Simplify (-3*(sqrt(243) - (sqrt(243) + 0)))**2 + (((sqrt(36) + sqrt(72)/sqrt(2))/sqrt(12))**2 - -1*sqrt(3)*-6).
-6*sqrt(3) + 12
Simplify ((1*sqrt(171)/sqrt(81) - (sqrt(304)*1 + 0))*-4)**2.
36784/9
Simplify (-5 + (sqrt(3) - (sqrt(9)/sqrt(3) + 5))*-2 + (-4*(sqrt(300) + (sqrt(300) + sqrt(300)*-1 - sqrt(300))) - (-1 + (sqrt(300) - (sqrt(300) + 1)))))**2.
49
Simplify -2*-1*(sqrt(396) + 0)*-1 + 2.
-12*sqrt(11) + 2
Simplify (-2 + (-3 + sqrt(1539))*-4)**2*5.
-3600*sqrt(19) + 123620
Simplify (((sqrt(18) - sqrt(126)/(sqrt(28)/sqrt(4)))*5)/(sqrt(1296) + sqrt(1296) + sqrt(1296)*1 - -1*sqrt(576)))**2.
0
Simplify -1 + ((0 + sqrt(972))**2 + sqrt(972) + 3)*1 + 3.
18*sqrt(3) + 977
Simplify -3 + 4 + (3*sqrt(700) - sqrt(700))*-1.
-20*sqrt(7) + 1
Simplify (((-2*sqrt(425)*4 - (1 + sqrt(425) + -5)) + 3)*-1)**2.
-630*sqrt(17) + 34474
Simplify -1*(sqrt(7) - ((-2 + sqrt(7))**2 + 2 + sqrt(7))) + (sqrt(672)*2)/sqrt(6).
4*sqrt(7) + 13
Simplify (2 + (sqrt(1584) + 1 + sqrt(1584) - sqrt(1584)))*1*-4 + 5.
-48*sqrt(11) - 7
Simplify (1 + 1*(2 + sqrt(567))*1)**2.
54*sqrt(7) + 576
Simplify -3*1*(-1*(-2 + sqrt(5)) - (sqrt(5) + sqrt(220)/sqrt(11) + sqrt(5)))**2.
-387 + 60*sqrt(5)
Simplify (2*sqrt(1216)*-5 + sqrt(190)/(sqrt(50)/sqrt(5)*-2))**2.
492499/4
Simplify (sqrt(539) - (sqrt(539) + sqrt(539) + 0 + 3))*4 + (-2 + 1*(sqrt(539) - (sqrt(539) + -2)))**2.
-28*sqrt(11) - 12
Simplify (sqrt(128) - (-2 + sqrt(128) + 0))**2 + 6*(sqrt(128) + -2).
-8 + 48*sqrt(2)
Simplify (3*-6*(2 + -1 + sqrt(272) + 1))**2.
5184*sqrt(17) + 89424
Simplify (-2*2*sqrt(162))/(sqrt(384) - -6*sqrt(384)*-2).
3*sqrt(3)/22
Simplify (sqrt(162)*2*-5)/(2*sqrt(6)*2).
-15*sqrt(3)/2
Simplify ((sqrt(136) + (-5*sqrt(136) - sqrt(136)))*4 - sqrt(136) - sqrt(136))/(sqrt(96)/sqrt(588) + sqrt(8)).
-77*sqrt(17)/4
Simplify 5 + (3 + -5*3*2*sqrt(432))**2.
-2160*sqrt(3) + 388814
Simplify 5 + 1*sqrt(1700) + sqrt(1700) + ((sqrt(833)*1)**2 + sqrt(17))*2.
22*sqrt(17) + 1671
Simplify 4*sqrt(1053)*-4 - 3*((sqrt(130) - (sqrt(130) + sqrt(130)*3)) + sqrt(130) - sqrt(130))/sqrt(10).
-135*sqrt(13)
Simplify 5 + (4*(sqrt(13) - -6*sqrt(13)*-2))**2 + -3.
25170
Simplify (sqrt(171) + -3 - 1*sqrt(475))**2 - (sqrt(76) - (sqrt(76) + sqrt(76) + 6*2*sqrt(76)) - sqrt(76))/sqrt(4).
85 + 26*sqrt(19)
Simplify (4*(2*sqrt(78) - sqrt(78)))/(4*sqrt(30)/sqrt(5)) + -4.
-4 + sqrt(13)
Simplify (sqrt(85) - -1*sqrt(85)*-6)/(sqrt(10)/sqrt(2)*-3)*-6.
-10*sqrt(17)
Simplify (sqrt(80) + 2 + sqrt(30)/(sqrt(36)/sqrt(6)) + (-2*(sqrt(720) + 1) - sqrt(720) - (4 + sqrt(720)*-1)))**2.
152*sqrt(5) + 1821
Simplify (6*(sqrt(539) + -1 + -5 - (sqrt(539)*-1 + 2) - (4*1*sqrt(539) + -3)))**2.
5040*sqrt(11) + 78516
Simplify 4*(sqrt(6) - (sqrt(150) + sqrt(150)*-3 + sqrt(150)))/(sqrt(2)*-1*5).
-24*sqrt(3)/5
Simplify ((sqrt(1900) - (1*sqrt(1900) + 5) - (sqrt(1900) + -2*(sqrt(1900) + -1))**2) + 4)*-3.
-120*sqrt(19) + 5715
Simplify (sqrt(19) + (sqrt(19) + 3 - sqrt(19)))**2*1 + 2 + 4*(sqrt(76)*-3 + sqrt(76))/sqrt(4).
-2*sqrt(19) + 30
Simplify -4*((sqrt(4598)*2*-6)/(-6*(sqrt(200) + (sqrt(200) - sqrt(200)*-2) + sqrt(200)) - sqrt(200)))**2.
-331056/24025
Simplify sqrt(2)*-2*-3 + -2 - (sqrt(200) - (-4*(4*sqrt(200))**2 - sqrt(200))).
-12802 - 14*sqrt(2)
Simplify ((sqrt(96)*5)/sqrt(3))/(-2*sqrt(324)).
-5*sqrt(2)/9
Simplify (sqrt(22) - (sqrt(264)*-1)/sqrt(12))/(sqrt(11) - (sqrt(11) - 2*sqrt(11))*4) + ((sqrt(648) - (sqrt(648) + 1*sqrt(648))) + 4)**2.
-718*sqrt(2)/5 + 664
Simplify -5 + sqrt(300) + 1*sqrt(300) + sqrt(300) + (sqrt(300)*2)**2 + -5 + -4.
30*sqrt(3) + 1186
Simplify 3 + ((sqrt(2) - sqrt(72))*-2)**2 + 5 + (sqrt(18)/sqrt(9) - sqrt(2)) + 5.
213
Simplify (3 + (sqrt(20) - sqrt(80)/sqrt(4))/sqrt(4) - (sqrt(5) + sqrt(5)*1 + -2 + -1 + sqrt(5) + 3))**2.
-18*sqrt(5) + 54
Simplify -1*(-5 + 3*(sqrt(132)/(-1*sqrt(972)))**2).
124/27
Simplify (sqrt(57) - sqrt(456)/(sqrt(8) - -2*sqrt(8)))/(sqrt(6)/sqrt(72)) + 1.
1 + 4*sqrt(19)
Simplify (-4*(-1 + sqrt(704))*-1)**2 - -5*-2*(sqrt(704)*-2 - sqrt(704)).
-16*sqrt(11) + 11280
Simplify ((sqrt(14)/sqrt(2) + -3 + sqrt(567))**2 + sqrt(63) + 4 + -2)*5.
-285*sqrt(7) + 3555
Simplify ((sqrt(52)/sqrt(100) + -3)*3)**2 + 5.
-54*sqrt(13)/5 + 2267/25
Simplify (-2*3*(4 + sqrt(1008) + -1 + -1*(sqrt(1008) + 0 + sqrt(1008))))**2.
-2592*sqrt(7) + 36612
Simplify -2 + (5*(-2*sqrt(320) - sqrt(320)))**2 - ((sqrt(550)/sqrt(40))/sqrt(11) + -3).
-sqrt(5)/2 + 72001
Simplify 1*sqrt(80)*1 - (-2 + (0 + sqrt(5) + sqrt(5))**2 + 0).
-18 + 4*sqrt(5)
Simplify -1 + 1*(sqrt(396)*2 + -4 + ((sqrt(396) + 0)*-2)**2) + -5.
12*sqrt(11) + 1574
Simplify (-5*sqrt(76)/((sqrt(36)*-2)/sqrt(9)))**2 + (-2*sqrt(304))**2*6 + -2*sqrt(304) + 4.
-8*sqrt(19) + 29675/4
Simplify (1 + (sqrt(475) - (1 + sqrt(475))) + sqrt(475) + -5)**2 - (sqrt(19)*-2*6 + sqrt(57)/sqrt(3) + 2 + 3).
-39*sqrt(19) + 495
Simplify (sqrt(132)/(2*sqrt(1200)) + 3 + sqrt(22)/(sqrt(6)/sqrt(3)))**2.
63*sqrt(11)/10 + 8451/400
Simplify (sqrt(4)*-2)/sqrt(2) + 3 + -5 - 1 | {
"pile_set_name": "DM Mathematics"
} |
tive of -53*w**2 - 370*w + 104058?
-106*w - 370
What is the third derivative of i**3*o**3*u**2 + 52137*i**3*o**2*u**2 + 2*i*o**2 + 103918*o**3*u**2 wrt o?
6*i**3*u**2 + 623508*u**2
What is the first derivative of 33259*c*d + 2*c + 59*d + 1001 wrt c?
33259*d + 2
Find the second derivative of -7*g**2*i**3 + 2*g**2*i + 13*g*i**2 - 3*g + 7*i**3 + 447*i**2 - 2*i + 73770 wrt i.
-42*g**2*i + 26*g + 42*i + 894
What is the second derivative of 255*i**4*y**3 + 134*i**4 + 757*i*y**2 + 11*y**3 wrt i?
3060*i**2*y**3 + 1608*i**2
What is the third derivative of -189089*g**3*y**2 + 2*g**2*y**2 + 171323*y**2 wrt g?
-1134534*y**2
What is the second derivative of -12*b**2*m - 12152*b**2 - 18*b*m + 6*b - 140*m wrt b?
-24*m - 24304
What is the third derivative of -109*b**2*u**4 + 226*b**2*u**3 + 2*b**2*u**2 - 25*b**2 + 6*b*u**2 + 232 wrt u?
-2616*b**2*u + 1356*b**2
Differentiate 1769*j**2*l - 24732*j**2 - 2*j - 1 with respect to l.
1769*j**2
What is the derivative of 2532*h**3*k**3 + 9*h**3 - 97*k**3 + 3*k**2 + k + 1611 wrt h?
7596*h**2*k**3 + 27*h**2
What is the third derivative of n**2*y**3 - 2*n**2 - 6*y**5 - 4427*y**4 + 2*y**2 + 3783*y + 14 wrt y?
6*n**2 - 360*y**2 - 106248*y
Differentiate 5910253*i + 4897388 wrt i.
5910253
Find the first derivative of 73*x**3 + 1205*x**2 + 3*x - 3778185 wrt x.
219*x**2 + 2410*x + 3
Find the third derivative of -416*l**5 + 22*l**4 - 34784*l**2 - l.
-24960*l**2 + 528*l
What is the third derivative of -8*z**6 - 4587*z**4 + 37*z**2 - 2673*z - 1 wrt z?
-960*z**3 - 110088*z
Find the third derivative of 491*j*w**5 + j*w - 6*j - 2*w**5 - w**4 + 1998*w**2 wrt w.
29460*j*w**2 - 120*w**2 - 24*w
Differentiate 604812*u + 1844793 with respect to u.
604812
What is the second derivative of 459816*f**2*k + 4*f*k + 2*f + 2*k - 20337 wrt f?
919632*k
Find the third derivative of 4*l**3*v**3 + 64*l**3*v**2*z - l**3*z + 146*l**2*v**3*z + 2*l**2*v + v**3*z + 51*v*z wrt v.
24*l**3 + 876*l**2*z + 6*z
What is the third derivative of -47650*x**4 + 489718*x**2 wrt x?
-1143600*x
Find the third derivative of -58*w**4 - 378*w**3 + 109209*w**2 wrt w.
-1392*w - 2268
Find the third derivative of 187*k*x*z**3 - 161*k*z**2 - x*z**2 - 5*x - 117*z**3 wrt z.
1122*k*x - 702
What is the second derivative of -503*m**4 + 21*m**3 - m**2 + 675*m - 17?
-6036*m**2 + 126*m - 2
Find the second derivative of 401*t**2*w - 30*t**2 + 58*t + 2*w - 126 wrt t.
802*w - 60
What is the second derivative of 34*r**3 - 1490*r**2 + 166*r + 451?
204*r - 2980
What is the first derivative of -147*t**4 - 2*t**3 + 65*t**2 + 51324 wrt t?
-588*t**3 - 6*t**2 + 130*t
Find the second derivative of -375000*p**2 - 397642*p.
-750000
What is the third derivative of 512662*n**3 + 69*n**2 + 6*n - 3?
3075972
What is the third derivative of 59*h**3*l**4 + 56479*h**3*l**2 + h**3*l - h*l**3 - 138*l**4 + l**3 wrt l?
1416*h**3*l - 6*h - 3312*l + 6
Find the third derivative of -17*c**4*d**3 + 11947*c**3*d**3 - c**3 + 5*c**2*d**3 - 416*c**2*d**2 - 7*d**3 wrt c.
-408*c*d**3 + 71682*d**3 - 6
Find the third derivative of -c**4*d + 11*c**4 - 354*c**3*d - c**2*d - 15547*d wrt c.
-24*c*d + 264*c - 2124*d
Find the third derivative of -213204*b**2*s**3 - 634240*b**2*s**2 + 4*b*s**3 wrt s.
-1279224*b**2 + 24*b
Differentiate 193*l**3*p**2 + l**3 + l - 12*p**4 - 5115 with respect to p.
386*l**3*p - 48*p**3
Find the first derivative of -52903*f**3 - 2*f**2 + 3*f + 1141277 wrt f.
-158709*f**2 - 4*f + 3
Find the first derivative of 8*f**2*w**2 - 3751413*f**2 + f*w**2 - 213445*w wrt w.
16*f**2*w + 2*f*w - 213445
Differentiate -4776884*y + 2925094 with respect to y.
-4776884
What is the derivative of 32094*g - 12797 wrt g?
32094
What is the second derivative of -398402*k**2*u**2 - 2*k**2*u - 452*k**2 + 3*k*u**2 + 62*k*u + u - 4 wrt u?
-796804*k**2 + 6*k
What is the third derivative of -18*a**2*l*p**3 - 6*a**2*p**2 - 2*a*l + 24*a*p**3 + 14*l*p**3 + 41*l*p**2 + l*p + 9*p wrt p?
-108*a**2*l + 144*a + 84*l
Find the second derivative of 2217870*a**4 - 3455564*a.
26614440*a**2
Find the third derivative of 139611*s**3 - 416377*s**2 wrt s.
837666
Find the third derivative of 6*h**3*s + 75883*h**3 + 28*h**2*s - 239*h**2 - 11*h*s wrt h.
36*s + 455298
What is the third derivative of 3*w**6 - 552*w**5 - 43*w**4 - w**2 - 12*w - 720 wrt w?
360*w**3 - 33120*w**2 - 1032*w
Find the second derivative of -69538*k**5 + 99947*k wrt k.
-1390760*k**3
What is the third derivative of 47276*v**3*z**6 - 9*v**3*z**3 - 2*v**3*z**2 - 1129*v**2*z**2 + 3*v**2 - 9*z wrt z?
5673120*v**3*z**3 - 54*v**3
What is the first derivative of 105877*j - 96636?
105877
What is the third derivative of 16499*h**3 - 117*h**2 - 7*h - 10?
98994
What is the third derivative of -928738*s**5 - 2*s**2 - 4573*s - 30 wrt s?
-55724280*s**2
What is the second derivative of -58*s**2*w**2*x**2 + 399*s**2*w**2 + 8*s*w**2*x**2 + 11*s*w*x + s*x + 23*x**2 wrt s?
-116*w**2*x**2 + 798*w**2
What is the derivative of 406820*r*x - 16087*x + 2 wrt r?
406820*x
What is the second derivative of 254*w*y**2 - 28*w*y - 5661*w + 322*y**4 + 1 wrt y?
508*w + 3864*y**2
What is the third derivative of -5615908*w**5 - 1050*w**2 + 2*w + 457 wrt w?
-336954480*w**2
Find the second derivative of -61897*i**2 + 89903*i wrt i.
-123794
What is the first derivative of -11844*f**4 - f + 270719 wrt f?
-47376*f**3 - 1
Find the second derivative of o**2*q*u**2 - 14633*o**2*q*u + 34*o**2*u**2 - 1485*q*u**2 - u wrt u.
2*o**2*q + 68*o**2 - 2970*q
What is the second derivative of -92*a**2*c*j + 2*a**2*c + a**2*j**3 - 29*a**2*j - 11848*a*c*j**3 + 3*a*c wrt a?
-184*c*j + 4*c + 2*j**3 - 58*j
What is the third derivative of 473212*o**4 - 1111254*o**2?
11357088*o
Find the first derivative of -32943*b**3 - b**2 - 90214 wrt b.
-98829*b**2 - 2*b
What is the second derivative of -27*j**2*z**3 + 41918*j**2 + 2250*j*z**3 - 418*z**2 wrt j?
-54*z**3 + 83836
Find the second derivative of 73636*p**2 + 6*p + 1220 wrt p.
147272
What is the first derivative of -5852*i*x**3 + 72*x**3 + 5*x**2 + x wrt i?
-5852*x**3
What is the derivative of 185*c*g + 185697*c - 381*g - 1 wrt g?
185*c - 381
Find the second derivative of -m**3*q**2 - 2*m**3*q - 48082*m*q**2 + m*q + 19*q - 104 wrt q.
-2*m**3 - 96164*m
What is the first derivative of -5646*c - 46157?
-5646
What is the derivative of 256558*h**2 - 2103709?
513116*h
Find the first derivative of 5343*v**3 + 26298.
16029*v**2
What is the third derivative of -3*a**3*g*u**2 + 490*a**3*u + 4*a**3 + 2*a**2*g*u + 845*a**2*g - 2*a**2*u**2 wrt a?
-18*g*u**2 + 2940*u + 24
What is the first derivative of -97916*y**2 - 248601 wrt y?
-195832*y
Find the second derivative of 33600*x**3 - 43982*x.
201600*x
Find the third derivative of 9909*b**3*o**3 + 2*b**3 - 6*b**2*o**3 + 328*o**3 wrt b.
59454*o**3 + 12
What is the third derivative of 2*o**4*v**3 + 65832*o**4 + 3253*o**2 - 14*o*v**3 wrt o?
48*o*v**3 + 1579968*o
Differentiate -836036*w**2 + 200472.
-1672072*w
Find the third derivative of -520*k**5 - 2*k**4 - 22550*k**2.
-31200*k**2 - 48*k
What is the third derivative of -566896*r**3*s**3 - r**3 - 420*r**2*s + 1136*r*s**3 wrt r?
-3401376*s**3 - 6
What is the first derivative of 3139251*r**3 - 3505395?
9417753*r**2
What is the third derivative of 1735304*z**3 - 146*z**2 - 2*z - 162?
10411824
Differentiate -2*r**4 - 4*r**3 + 306*r**2 - 71039 wrt r.
-8*r**3 - 12*r**2 + 612*r
What is the third derivative of -48969*n**3 + 2096*n**2 wrt n?
-293814
Differentiate -406648*b + 120050 with respect to b.
-406648
What is the third derivative of -1259*b**6 - 2*b**4 + 193*b**2 + 20*b + 2?
-151080*b**3 - 48*b
What is the second derivative of -3734042*t**2 - 180*t - 111?
-7468084
Find the second derivative of -185*c**4*o**3 + 62*c**4*o - 3020*c*o**2 - 2*c + 5*o**3 wrt c.
-2220*c**2*o**3 + 744*c**2*o
What is the second derivative of 15*f**2*o**2*u**2 + 12*f**2*o**2 + 4*f*o**2*u**2 - 5*f*o - 62*o**2 + 2*o*u**2 wrt f?
30*o**2*u**2 + 24*o**2
Find the first derivative of -96*m**4 + 34*m**3 - 2*m**2 - 3*m + 295652.
-384*m**3 + 102*m**2 - 4*m - 3
What is the first derivative of -3*k**2 + 452689*k - 3171163?
-6*k + 452689
Find the third derivative of -55*h**3*z**3 - 7*h**3*z**2 + 3*h**3 + 25*h*z**3 - 306*h*z**2 wrt z.
-330*h**3 + 150*h
Find the first derivative of -1402763*q - 1398931.
-1402763
Differentiate -15*a**2 + 4*a*d*f - a*f - 8 | {
"pile_set_name": "DM Mathematics"
} |
is the biggest value in a, -0.2, 19?
19
Let p = 0.86 + 0.14. Let n = 3 + p. Let r = 0.2 + -0.3. Which is the second biggest value? (a) r (b) -4 (c) n
a
Let s = -331/14 + 190/7. What is the third biggest value in 0.3, -10, s?
-10
Let q = 0.8 + -2. Let x be 11 + -5 - (-6 - 48/(-3)). What is the third biggest value in -0.4, x, q?
x
Let x be (-12)/(-4) + (-17)/17. Let g = -2.9971 - 0.0329. Let o = g - -0.03. What is the third smallest value in o, x, -0.2?
x
Suppose 4*x + 22 = 2*n, -n + 1 = -2. Let l = x + -1. Let p = -22 + 31. Which is the smallest value? (a) 0 (b) l (c) p
b
Let p be ((-1)/(-3))/(8/9). Let w be -2 - 7 - (-132)/16. Which is the fourth smallest value? (a) 4 (b) p (c) w (d) 1
a
Let t = 0.24 + -0.04. Let f = -0.26 + 0.16. What is the smallest value in f, t, -4/7, 1?
-4/7
Let h = 771.3 + -771. Let d = -8 - -8.3. Let f = d + -0.2. Which is the smallest value? (a) -0.4 (b) f (c) h
a
Let z = -271 + 276. What is the third smallest value in -0.3, z, 8?
8
Let v = 0.242 + -1.342. What is the biggest value in -2, -0.5, -0.2, v?
-0.2
Let z = 3.38 + -8.38. Which is the fourth biggest value? (a) z (b) -10 (c) 0 (d) -0.4
b
Let q = 14 + -21. Let w = 5 + q. Let p = -1.1 + 0.7. Which is the third smallest value? (a) 4 (b) p (c) w
a
Let v be 6/8 + 0/(-2). Let i = -1.89 + 1.91. Let h be 6/(-15) + ((-24)/(-55))/2. Which is the biggest value? (a) h (b) i (c) v
c
Suppose 10 = l + 5*f, 0*f - f = 3*l - 44. Let d be 0 + -4 - (-63)/l. Which is the third biggest value? (a) d (b) 3 (c) 0.4
a
Let x = -3 - -7. Let p = -4878 - -4877.5. Which is the third biggest value? (a) -1 (b) 4/3 (c) x (d) p
d
Let x = -12.59 - -12.39. Which is the second smallest value? (a) 2/3 (b) 15 (c) x
a
Let z = 123 - 127. Which is the fourth biggest value? (a) z (b) 5 (c) -3 (d) 0.4
a
Suppose -3*p - 12 = 0, -16 = 5*j - 10*j - p. Suppose -j*w - 12 = 4. What is the third biggest value in 0.3, -2/7, w?
w
Let n = -45 - -21.5. Let j = n + 24. Let r(o) = -o**2 + o + 3. Let a be r(0). What is the second smallest value in a, 5, j?
a
Let k = 16 - 8. Let o = -6/19 + 29/152. What is the third smallest value in o, k, 5?
k
Let a = -24 + 18. Let y = 79 + -554/7. What is the third biggest value in a, 0.1, y?
a
Let w(n) = 4*n**3 - 4*n**2 - 4*n + 1. Let d = -8 + 7. Let x be w(d). Let v = -0.6 - -0.1. Which is the third smallest value? (a) -2/9 (b) v (c) x
a
Let k = 0.045 + 35.955. Let y = -41 + k. What is the third biggest value in y, -0.5, 0?
y
Let g = -5 + 3.1. Let o = 25.6 - 23.8. Let x = o + g. What is the third smallest value in 0.07, 2/9, x?
2/9
Let o(b) = -2*b**3 + 14*b**2 - 5*b - 10. Let v be o(6). Let q be 1*-3 - (-4)/(v/30). What is the second biggest value in 5, 0.4, q, 1?
1
Let j = -1241/5 - -249. Which is the fourth smallest value? (a) 2/15 (b) -3 (c) j (d) 0.2
c
Let o = 2 + -5/2. Let d = 0.1601 - 0.4601. What is the third biggest value in o, 3, d, 0.3?
d
Let h = 721/3 + -242. What is the second smallest value in h, 0.4, 3/8, -5?
h
Let z = -7/4 + 1. Let x = 15 + -21. Let t be 24/9 + x/2. What is the third biggest value in 0.2, z, t?
z
Let k = 1 + -5. Let h = -25 + 25.17. Let l = -0.17 + h. What is the smallest value in l, -1/6, k?
k
Let p(z) = -z**2 - 2*z + 3. Suppose 0 = 2*j + 5*v - 15, 3*j - 15 = -2*j - 5*v. Let t be p(j). Which is the smallest value? (a) t (b) -2/9 (c) -11
c
Let q = -385 + 390. Which is the smallest value? (a) 1/4 (b) -0.5 (c) q
b
Suppose 2*z + 6 = 5*z. Suppose z*q + 2*q - 4*y = -20, 5*q = y - 5. Suppose o + o = q. Which is the biggest value? (a) o (b) -2 (c) -1
a
Let i = -506/3 - -169. Which is the second biggest value? (a) 0.3 (b) i (c) -1/2 (d) -2
a
Let z be (22/55)/((-1)/(-5)*-1). What is the second smallest value in -2/11, -14, z, 2?
z
Suppose 10 = -4*d - 3*h - 6, 2*h = 5*d - 3. Let j = -135 - -677/5. Which is the smallest value? (a) j (b) 0.3 (c) d
c
Let t(w) = 3*w + 2. Let a be t(-2). Suppose 68*i - 71*i = 0. Let g be 3/2 + (-4 - -1). What is the third biggest value in i, g, a?
a
Let a = -6 - -5.7. Let x = 0.3201 + -0.0201. What is the third biggest value in -8, x, a?
-8
Let k = -3.58 - 0.42. Which is the third biggest value? (a) -0.08 (b) 3 (c) 1/5 (d) k
a
Let u = -0.9 - -0.5. Let n = -20.5 + 20.9. Which is the third biggest value? (a) u (b) -2/7 (c) n
a
Let u = 8 - 9. Let v = -42 + 47.8. Let p = 6 - v. What is the second biggest value in 0.4, p, u?
p
Let m be (9/12)/((-2)/48). Suppose -4*i - s = 84, -2*s = 3*i - s + 64. Let r be 2/(i/m) + -2. Which is the second smallest value? (a) 1/5 (b) r (c) 2/15
c
Let r = 3.7 - 21.7. Let t = r - -17.7. Let z = 14 - 14.5. Which is the second smallest value? (a) z (b) t (c) -4
a
Let d = 0.03 - -0.07. Let c = -32 + 32.43. Let b = c - 5.43. What is the third biggest value in d, b, -1/10?
b
Let r be (-15)/50*-2*1. Let t(p) = p - 1. Let h be t(4). Let f be (-1)/3*(-18)/12. Which is the second smallest value? (a) h (b) f (c) r
c
Let j = -681.1 + 716. Let l = -35 + j. What is the smallest value in l, -5, 3?
-5
Let u = 11.24 + -9.74. What is the second biggest value in 4, -0.05, u?
u
Let g = -1 + 0. Let u = -17.2 - -18.4. Let f = g + u. What is the third biggest value in -3/8, f, 3?
-3/8
Let h be ((-6)/(-9))/(1/3). Let j be (182/195 - 4/(-10))*(-6)/20. Which is the biggest value? (a) h (b) j (c) 0 (d) 0.5
a
Let k be (-4)/(-6) + (2 - 124/(-12)). Let m = -8 - 0. Let g = m + k. What is the smallest value in g, -4, -0.3?
-4
Let f = 76/29 + -438/145. Which is the third biggest value? (a) -2 (b) f (c) -0.2 (d) 0.1
b
Let k = -26.1 - -0.1. Let g = 28 + k. Let t = -0.2 - -0.1. Which is the second smallest value? (a) 1/4 (b) t (c) g
a
Let y = -0.6 + 0.2. Let s = 0.1 + -0.2. Let x be -4 - (34/(-6))/((-4)/(-3)). Which is the biggest value? (a) x (b) s (c) y
a
Let p = 0.402 - 0.002. What is the second biggest value in -5, p, 1/2, -2/23?
p
Let h be (-430)/30 + 13 - (-16)/3. Which is the second smallest value? (a) 0 (b) 2/15 (c) 0.1 (d) h
c
Let z(k) = -2*k**3 + 23*k**2 - 32*k + 15. Let a be z(10). What is the third biggest value in a, -0.4, 2/9?
a
Let d = -68.2 + 68.2. What is the second biggest value in -0.5, d, 4, 0.1?
0.1
Let h(b) be the second derivative of b**5/20 - b**4/4 + 2*b**2 - 2*b. Let a be h(3). Let u = 0.6 + -0.2. What is the biggest value in 1/3, u, a?
a
Let s be (-81)/190 - (-2)/(-10). Let c = s + 1/38. What is the smallest value in 0.6, c, -3?
-3
Let v = 0.13 + 0.87. Let p = -0.8 + v. What is the third biggest value in 5, 0, p?
0
Let s = 7953/91582 - 1/1579. Let p = s - 209/406. Let l = 6 + -1. Which is the biggest value? (a) -3/4 (b) p (c) l
c
Let m be (2 - -2)/(4 - 11 - 7). Which is the third biggest value? (a) -2/5 (b) m (c) -1/6 (d) -2/19
b
Let c = 52.78 - 0.78. Let o = c + -60. What is the smallest value in 3, 0.07, o?
o
Let f = 23.76 + -23.56. Which is the third biggest value? (a) f (b) 0.168 (c) 0.5
b
Let n be 1/(2/4)*27/1206. Let z = 101/737 + n. Which is the smallest value? (a) 4 (b) z (c) 2/15
c
Let k = 74 + -75. What is the third smallest value in -1/8, -0.026, k, 0.1?
-0.026
Let h = 84.03 - 11.93. Let s = h + -72. What is the biggest value in s, -2/5, 16?
16
Let g = 4.94 - -0.06. Let l = 5.6 + -6. Which is the second smallest value? (a) -4 (b) l (c) g
b
Let s = -131/1406 - -3/74. Let p = 52898 - 52901. What is the biggest value in s, p, 0?
0
Let f = 125 + -124. Which is the third biggest value? (a) 4 (b) -2/3 (c) f
b
Let o = 106/5 + -343/15. Which is the second smallest value? (a) -0.31 (b) 0.4 (c) o (d) -5
c
Let y = -10 - -5. Let o be (-1 + -3)/(1 - -4). Let a = -14.6 - -19.6. What is the second smallest value in o, y, a?
o
Let m = 4.4 + -8.4. Which is the fourth biggest value? (a) -56 (b) 3 (c) m (d) -0.2
a
Let p = 1247/4 - 312. What is the third smallest value in 0.5, p, 1, 3?
1
Let u = -3 - -2.6. Let z be (-44)/(-165)*40/48. Which is the third smallest value? (a) z (b) -0.3 (c) u
a
Let h = -5095/78 + 391/6. What is the third smallest value in 2/9, -4, -58, h?
h
Let t = 584 - 578. What is the fourth smallest value in -1, t, -0.17, 0?
t
Let y be ((-9)/21)/((-18)/(-12)). Which is the second biggest value? (a) 5 (b) y (c) -2/11
c
Let y be (1/20)/((-36)/96). Let z = 0.24 - 0.54. Which is the | {
"pile_set_name": "DM Mathematics"
} |
8. Suppose 75*h - 80*h = -t. Is h a multiple of 29?
True
Let c = 14 - 34. Let b = 22 + c. Suppose -2*d + 30 = b*g, 3*g = d + 63 - 6. Is 18 a factor of g?
True
Let x(u) = 45*u**2 - u + 3. Let m be x(-2). Let s = -112 + m. Is s a multiple of 14?
False
Let u be 34 + -2*(0 + -1). Let w(l) = 2*l**2 + 6*l - 18. Let j be w(2). Suppose -u = -0*d - j*d. Is d a multiple of 18?
True
Suppose -3*f = -6*f - 75. Let w = f + 61. Is 7 a factor of w?
False
Suppose 0 = -2*x + 3*s + 286, -4*x = -2*x + s - 286. Let k = 398 - x. Suppose -3*t - 369 = -5*b, 3*t + k + 42 = 4*b. Does 12 divide b?
True
Let r(m) = -m**3 + 20*m**2 - 7*m + 16. Is r(18) a multiple of 30?
False
Let d(c) = -c + 83. Is d(11) a multiple of 12?
True
Let o = -15 - -21. Does 8 divide (268/o + -2)/(6/18)?
True
Let r(s) = -2*s**3 + 38*s**2 - 27*s - 53. Is 22 a factor of r(16)?
False
Let y = 58 - 85. Let g be (0 - (-2)/(-1)) + -67. Let t = y - g. Is t a multiple of 12?
False
Suppose 42*p + 78912 = 66*p. Is p a multiple of 9?
False
Suppose -2*v + 3*b + 18 = 0, -5*v - b = b - 45. Let r(s) = 30*s**3 + s - v*s**3 + 27*s**3 + 0*s**3 - 2*s**2. Is 22 a factor of r(1)?
False
Let r(w) be the third derivative of 3*w**5/10 - 5*w**4/24 + w**3/6 + 8*w**2. Is r(2) a multiple of 15?
False
Let c(d) = -d**2 + 2*d + 58. Does 29 divide c(0)?
True
Let i(g) = g + 11. Let p be i(-11). Suppose -21 = -3*n + 3*x, n - 5*n - 2*x + 10 = p. Suppose n*l - 20 = 16. Is 9 a factor of l?
True
Let p(r) = -r**2 - 12*r - 11. Let n be p(-11). Suppose n = -0*f - 4*f + 8. Suppose 5*b - 123 = -2*t, 4*t = -0*b - f*b + 46. Is 25 a factor of b?
True
Let z(c) = c**2 + 134 - 3*c**2 - 32 + 0*c**2 - c**3. Does 7 divide z(0)?
False
Let p = -34 - -32. Does 30 divide (-3504)/(-39) - p/13?
True
Let z be (1/(-1) - -1)/1. Suppose z = -15*o + 10*o + 15. Suppose -l - 113 = -4*k, -o*k + 17 = l - 59. Does 9 divide k?
True
Let a(x) = x**2 + 12*x - 17. Let d be a(-13). Let p be 16/(-6)*(-6)/d. Let w(n) = -n**3 - n**2 + 4*n + 6. Does 19 divide w(p)?
True
Let c(u) = -56*u - 123. Is 5 a factor of c(-5)?
False
Suppose 3*w - 39 = 3*h, 3*w - 2*h - 3 = 35. Let g = 50 - w. Is g a multiple of 10?
False
Let c be 3*8*(-1)/(-6). Let t = -182 - -442. Suppose -2*n - 2*n = 3*k - 156, 5*k + c*n - t = 0. Is k a multiple of 13?
True
Suppose 2*m = -4*i + 6*i + 16, -4*i - 3*m = 11. Let g be -1 + (2*i - 2). Let f = g + 50. Does 11 divide f?
False
Suppose -4*a = -3*a. Suppose 3*j - o - 360 = a, 2*o + 7 - 1 = 0. Suppose 3*n + j = 2*p, -4*p = -6*p + 5*n + 113. Is 16 a factor of p?
True
Is -58*(15/6 + -4) + -1 a multiple of 26?
False
Let h(y) = 3 - 13*y + 5 + 0*y - y**3 - 10 + 16*y**2. Is h(15) even?
True
Let k(y) = 2*y**2 - 9*y + 10. Let i be k(8). Let m = 42 - i. Let f = -3 - m. Is 8 a factor of f?
False
Let j be 12/114 - (-6)/(-57). Suppose j = -2*v - 10*v + 1320. Is 11 a factor of v?
True
Let n = 147 - 128. Suppose -14*h + n*h - 1120 = 0. Is 16 a factor of h?
True
Let g = 1431 - 891. Is g a multiple of 12?
True
Let l(u) = u + 2. Let v(t) = -90*t - 57. Let n(r) = -18*l(r) - v(r). Is n(4) a multiple of 13?
False
Suppose -5*k - 5*g = -0*g - 495, 3*g + 327 = 3*k. Suppose -3*y + k = y. Is 6 a factor of y?
False
Suppose -c - 3 = -7. Does 22 divide ((-405)/(-20) - 2)*c?
False
Let z be ((-11)/3)/((-35)/(-12) - 3). Suppose -11*r + z = -198. Is r a multiple of 11?
True
Let g be (3 + -6 + 2)*-21. Is -6*3/g*-112 a multiple of 16?
True
Suppose 0*w = -3*n - w + 368, 4*w = -3*n + 383. Let a = 199 - n. Is a a multiple of 39?
True
Let f = -16 + -2. Let l be (f/(-8) - 2)*12. Suppose -3*n - t = -3*t - 48, -l*n - 2*t = -48. Is n a multiple of 13?
False
Let x(c) = 4*c**2 - c. Let v be x(1). Suppose -3*d = -v*t + 2*d + 22, -2*t + 3*d = -15. Suppose -q = 1 - t. Does 4 divide q?
True
Suppose 2*g - g = 2*q - 61, -3*q - 3*g = -96. Suppose -34*o + q*o = -126. Does 8 divide o?
False
Let p(a) = -a - 1. Let b be p(1). Let l be (-11)/(-22) + (-223)/b. Let n = -70 + l. Is 14 a factor of n?
True
Let g(v) = -2*v**3 - 2*v**2 + 5*v - 2. Let k be g(4). Let y = -40 - k. Is 18 a factor of y?
False
Let y(b) = -b**3 - 5*b**2 + b + 7. Let p be y(-5). Suppose -414 = -p*j - 2*s + s, -4*s = 4*j - 832. Does 42 divide j?
False
Let y(t) = -t - 8. Let i be y(8). Suppose -4*o - 5*m + 80 = 0, 2*m = 4*o + 47 - 127. Does 12 divide (i/o)/(2/(-85))?
False
Suppose -3*y + 2*y + 5*f = -23, 5*y - f - 235 = 0. Does 2 divide y?
True
Let t = -1051 + 2319. Does 15 divide t?
False
Suppose -7*p = p - 224. Let v = p - -1. Is v a multiple of 9?
False
Suppose -6*n + 7*n + 3*q = 73, -5*n + 5*q + 285 = 0. Is 37 a factor of n?
False
Suppose -5*w + 20555 = -3*d, 4*w - 9422 = -d + 7005. Is w a multiple of 13?
True
Let j = 130 - 63. Let d = j - 17. Does 5 divide d?
True
Let m(q) = q - 56. Let j be m(-8). Is 28 a factor of ((-21)/(-4))/((-2)/j)?
True
Let a be 25/(-4) + (-3)/(-12). Let k(p) = p**2 - 16*p + 8. Let d(r) = 4*r - 2. Let y(x) = 9*d(x) + 2*k(x). Is y(a) a multiple of 23?
True
Let r be 1/2 + 175/14. Suppose 0*p - 10 = -5*p, 3*w = p + r. Suppose w*x + 2*m - 3*m = 53, 25 = 3*x - 4*m. Is 11 a factor of x?
True
Suppose 2 = u + 3*d, -d - d = -5*u + 10. Suppose k + j + u*j - 30 = 0, 2*k - 33 = 3*j. Does 13 divide k?
False
Let v be (-2)/3*(-45)/10. Suppose 5*k = v*x + 217, -90 = -2*k - x - x. Suppose -2*r = 4*s - 48, -s - 137 = -3*r - k. Does 10 divide r?
True
Let j = -2300 + 2383. Is j a multiple of 83?
True
Let b = -180 - -113. Let y = b + 79. Is y a multiple of 2?
True
Let b = -21 + 14. Let x be (95/20)/((-4)/(-16)). Let h = x + b. Does 9 divide h?
False
Suppose 4*j - 4*l = 20, -3*l - 3 = -j + 6. Suppose -5*u + 2*x = -x - 117, 3*u + 4*x = 76. Suppose -66 = -j*n + u. Does 5 divide n?
True
Suppose -2*t + 13 = 65. Let u be (-505)/(-13) - 4/t. Suppose -15 = 3*p - u. Is p a multiple of 2?
True
Suppose 3*s + 1569 = r - 0*r, -2*s = r - 1569. Is r a multiple of 22?
False
Suppose 0 = -4*y + 3*y + 5*o + 540, 4*o + 1587 = 3*y. Suppose -4*m + y = -m. Is m a multiple of 25?
True
Let b = -36 + 129. Suppose -4*o + 2*a = -78, -4*o + b = o + 2*a. Is o even?
False
Suppose -2*u + 2*c + 74 = 0, 3*u - 4*c - 55 = 58. Let f = u + -11. Is 8 a factor of f?
True
Let f(v) be the third derivative of 11*v**4/12 + 2*v**3/3 + 11*v**2. Is 24 a factor of f(2)?
True
Suppose -5184 = -40*v + 4936. Does 11 divide v?
True
Suppose -9*n + 350 = -7*n. Is n a multiple of 25?
True
Suppose 3*h - 648 = -228. Is h a multiple of 6?
False
Suppose -8*g = -11*g + 3*k + 2421, -3*g - 3*k + 2427 = 0. Is 8 a factor of g?
True
Suppose -4*u + 39 = 3*d, -u - 4*u = 4*d - 52. Does 2 divide d?
False
Let v(b) be the third derivative of 5*b**4/12 + b**3/2 - 5*b**2. Is 11 a factor of v(3)?
True
Let m = 1835 - 273. Is m a multiple of 13?
False
Let a(z) = z**3 - 8*z**2 - z + 8. Let i be a(8). Suppose i*s = 4*s - 176. Does 11 divide s?
True
Let r(u) = -u + 11. Let i be r(9). Let m(g) = -g**3 + 2*g - 1. Let z be m(-3). Does 4 divide z/2 + (i - 0)?
True
Let n(c) = -c**3 + 9*c**2 - 8*c + 2. Let m be n(8). Let v be (38 - m)/((-2)/4). Is v/28*(-280)/12 a multiple of 20?
True
Suppose 3*w - 122 = -0*u - 2*u, 0 = 2*w + 3*u - 73. Let m be (0 + 2)/((-4)/58). Let o = m + w. Is 5 a factor of o?
True
Suppose -n + 14 - 6 = -3*v, 0 = -5*v + 20. Is 20 a factor of n?
True
Let o(d) = 2*d**2 - 34*d. Let i be o(16). Let u(n) = n + 69. Let a be u(0). Let y = a + i. Is 15 a factor of y?
False
Suppose 0 = 31*t - 34 + 3. Let k = 16 - -3. Is 4 a factor of (k + t)/2 + 0?
False
Let w(j) = -j**3 + 5*j**2 - 3*j. Let i be w(4). Let l(x) = -x + 15 - x - x + i*x. Is 8 a factor of l(-7)?
True
Let c(m) = -m**3 - 6*m**2 - 5*m - 8. Let f be c(-6). Is f/(-3 + (-21)/(-6)) a multiple of 44?
True
Let a(w) = -42*w + 72. Is a(-9) a multiple of 90?
True
Suppose -76 = -5*v + 14. Let g = 150 + v. Suppose -g = t - 5*t. Does 14 divide t?
True
Suppose 4*d + 111 + 8 = p, 3*p - 364 = 5*d. Let o = 178 - p. Is o a multiple of 12?
False
Suppose 6 = -2*b, 18 = 2*q - 2*b + 2. Suppose -q*p - 365 = -4*k, -k + 3*k - p = 175. Does 25 divide k?
False
Suppose -5*q + 0*q = -5*w + 175, 2*q - 50 = -w. Is w a multiple of 20?
True
Suppose 11*n + 4*f - 2957 = 8*n, -3948 = -4*n - 4*f. Does 68 divide n?
False
Let k = 50 + -100. Let l = k + 74. Does 6 divide l?
True
Suppose -34*k - 49876 + 156772 = 0. Is 118 a factor of k?
False
Let o(p) = -2*p**3 + 3*p - p - 2*p**2 - p. Let h | {
"pile_set_name": "DM Mathematics"
} |
*n wrt n.
24*k*n**2 + 18*k*n - 4146*n
Find the third derivative of 9*l**5*o**2 + 13*l**4*o**2 - 2*l**2*o**2 - l**2*o + l*o**2 + 427*o wrt l.
540*l**2*o**2 + 312*l*o**2
What is the third derivative of -2*k**5 + 271*k**2?
-120*k**2
What is the second derivative of 4584*f*q**4 + 2*f*q**3 - 482*f*q - f wrt q?
55008*f*q**2 + 12*f*q
What is the second derivative of 3834*f**3*m**2*q**3 - f**3*m*q**3 - 2*f**2*m*q**3 + 1991*f**2 wrt m?
7668*f**3*q**3
What is the second derivative of -7*m**4 - 2705*m**3 - 2*m**2 - 332*m?
-84*m**2 - 16230*m - 4
What is the second derivative of 2*c**3 + 33*c**2 + 2090*c?
12*c + 66
What is the third derivative of -17338*g**3 - 4719*g**2 - 2?
-104028
Differentiate 208*n + 479.
208
What is the second derivative of -19*s**4 + 2*s**3 - s - 156?
-228*s**2 + 12*s
What is the first derivative of 3*p**2 - 354*p + 4836 wrt p?
6*p - 354
Find the third derivative of -206*p**4 - 21*p**2 + 2.
-4944*p
What is the second derivative of 1127*k**3 - 13313*k?
6762*k
What is the first derivative of 1112*n**4 + 472 wrt n?
4448*n**3
What is the second derivative of 33*g**3*x + 2*g**2*x + g*x - g + 15*x wrt g?
198*g*x + 4*x
Find the third derivative of -3276*p**6 - p**3 + 11741*p**2 wrt p.
-393120*p**3 - 6
What is the second derivative of -7573*z**2 - 170*z + 51?
-15146
What is the third derivative of -25*m**2*v**3 - 2*m**2*v**2 - 2*m**2 - 29*m*v**3 - v**3 + 208*v**2 - v wrt v?
-150*m**2 - 174*m - 6
What is the third derivative of -10*h*l*u*y**3 - 26*h*l*u*y**2 + 2*h*l*y**2 + 26*h*l*y + h*y**4 + 22*u*y**4 - u*y**2 wrt y?
-60*h*l*u + 24*h*y + 528*u*y
Find the third derivative of 75*j**5 - j**2 + 4 wrt j.
4500*j**2
What is the second derivative of -a**3*j*x**2 + 267*a**3*x**2 + 22*a*j*x**2 + 8*a*j*x - 2*j*x wrt a?
-6*a*j*x**2 + 1602*a*x**2
What is the first derivative of 2140*d*m**2*w + 23*d*m**2 - d - m**2*w - 8 wrt w?
2140*d*m**2 - m**2
Find the third derivative of 435*s**4 - 3*s**3 + 6534*s**2.
10440*s - 18
What is the first derivative of 2*p**4*s + 23*p**4 - p*s + 62*s wrt p?
8*p**3*s + 92*p**3 - s
What is the third derivative of 7*c**5 - 11*c**4 + 48*c**2 wrt c?
420*c**2 - 264*c
Find the third derivative of 3*d**3*u**2 - 44*d**3*u - 3*d**2*u**2 + 18*d**2*u wrt d.
18*u**2 - 264*u
What is the third derivative of -144*f**4*v + 2*f**4 + 128*f**2*v - 13*f wrt f?
-3456*f*v + 48*f
Differentiate -n**4*p**2 - 32*n**2*p**2 - 3665*p**2 wrt n.
-4*n**3*p**2 - 64*n*p**2
Find the third derivative of -1508*m**3*s**3 + 3*m**3*s + 349*m**2*s**2 wrt s.
-9048*m**3
What is the third derivative of -15849*c**6 - 12947*c**2?
-1901880*c**3
What is the first derivative of -12*d**2*g*v - 2*d**2 + 92*d*g*v - d*v - 200*d wrt g?
-12*d**2*v + 92*d*v
What is the third derivative of d**3*y**4 + 2*d**3 - 1809*d**2*y**4 + d**2*y**2 - 1329*d*y wrt y?
24*d**3*y - 43416*d**2*y
Differentiate -w**4 - 11766*w**3 + 13268 wrt w.
-4*w**3 - 35298*w**2
Find the first derivative of 581*d**3 - 3858.
1743*d**2
What is the second derivative of c**2*q*r**2 - 2*c**2 + 6*c*n*q*r**2 - 2*c*n*q + 4*c*q*r**2 - 27*c*q*r - 2*n*q*r wrt r?
2*c**2*q + 12*c*n*q + 8*c*q
What is the second derivative of -497*f**2*u + 834*f - 2*u wrt f?
-994*u
What is the derivative of 7*j - 201?
7
What is the first derivative of 10*f**2*t**2 - 2*f**2 + 106*f*w + t**2*w - 28*t**2 + 4*w - 3 wrt t?
20*f**2*t + 2*t*w - 56*t
What is the third derivative of 2644*n**3 - 16*n**2 - 7 wrt n?
15864
Differentiate j**3*t**2 - 81*j*t**2 - 5041*t**2 with respect to j.
3*j**2*t**2 - 81*t**2
Find the first derivative of -7*d**4*f**3 - 348*d**4*f**2 - 10551*f**3 wrt d.
-28*d**3*f**3 - 1392*d**3*f**2
What is the third derivative of -6*a**5 + 32*a**3 - 1415*a**2 + 3*a?
-360*a**2 + 192
Differentiate -691*p**2 - p + 48 wrt p.
-1382*p - 1
Find the third derivative of 4825*g**3 + 11034*g**2 wrt g.
28950
What is the second derivative of -4*l**4 + 347*l**3 - 2761*l?
-48*l**2 + 2082*l
Find the second derivative of -2853*j**3 + 3*j**2 + 40*j - 5 wrt j.
-17118*j + 6
Find the second derivative of -2*j**2*m**4 - 272*j**2*m + 3*j*m**4 - 5*m**2 wrt m.
-24*j**2*m**2 + 36*j*m**2 - 10
Find the second derivative of -2011*k*u**3 - 16*k*u - u wrt u.
-12066*k*u
What is the third derivative of -822*n**3 - 6082*n**2?
-4932
What is the third derivative of -661*d**3*r*t + 229*d**2*r*t + d**2*r wrt d?
-3966*r*t
Find the third derivative of 28*d**2*k**3 + 2*d**2*k**2 - 2*d*k**2*s + 85*d*k**2 - d*s - 2*k**5*s + k**4*s wrt k.
168*d**2 - 120*k**2*s + 24*k*s
Find the third derivative of 97*o**2*u**5 + 33*o**2*u**2 - 27*u**3 + 74*u**2 + 2 wrt u.
5820*o**2*u**2 - 162
What is the third derivative of 3*t**2*v**3 - 15*t**2*v + t**2 - 20*t*v**6 - 2*v**2 wrt v?
18*t**2 - 2400*t*v**3
Differentiate 1262*i**4 + 1002.
5048*i**3
Find the third derivative of -2*a**4 + 247*a**3 + 2*a**2 - 107*a + 2 wrt a.
-48*a + 1482
Differentiate -1048*m**4 - 5537 with respect to m.
-4192*m**3
What is the third derivative of 4*c**4 - 14*c**3 - 454*c**2?
96*c - 84
Find the second derivative of -51*y**4 - 6*y**3 + 410*y.
-612*y**2 - 36*y
What is the third derivative of 368*p**3 + 2*p**2 - 237*p?
2208
What is the second derivative of 99*h**3*i + h**2*i + 470*h*i wrt h?
594*h*i + 2*i
What is the third derivative of 3794*j**3*s**2*u**2 + 19*j**2*s**2*u**2 - 8*j**2*s*u + 3*j**2*s - s**2*u**2 + 2*s**2 wrt j?
22764*s**2*u**2
What is the third derivative of -617*l**3*u + 213*l**2 + 5*u wrt l?
-3702*u
Find the second derivative of -533*h**2 - 11829*h wrt h.
-1066
Find the second derivative of k**2*n**2 + 226*k**2*n - 23*k*n**2 wrt n.
2*k**2 - 46*k
Find the third derivative of p**3*u - 1157*p**3 - 9*p**2*u + 2*p - 2*u + 11 wrt p.
6*u - 6942
What is the first derivative of 51*a*f - 914*a*x**3 - 9*f*x**3 wrt f?
51*a - 9*x**3
What is the second derivative of -75*c**2*g**3*z**3 - 2*c**2*g**2*z**3 + 4*c*g**3*z**3 - c*g**2 - g*z**3 wrt c?
-150*g**3*z**3 - 4*g**2*z**3
What is the second derivative of 18866*s**2 + 6*s + 805?
37732
Find the second derivative of 20*r**5 - 8*r**2 + 102*r wrt r.
400*r**3 - 16
Find the second derivative of -g**4*r**3 - 121*g**2*r**3 - 17*g*r**3 - 33*g*r wrt g.
-12*g**2*r**3 - 242*r**3
Differentiate -9*a**3*y**3 - 2*a**2 - 14*a*y**3 + 45*y**3 + 3*y**2 with respect to a.
-27*a**2*y**3 - 4*a - 14*y**3
What is the first derivative of -s**4 - 2*s**3 - 80*s + 5633 wrt s?
-4*s**3 - 6*s**2 - 80
Find the first derivative of -2*l**2*z**2 + 232*l*z**2 - 293*z**2 wrt l.
-4*l*z**2 + 232*z**2
What is the third derivative of s*z**5 + 3*s*z**4 - 5523*s*z**2 + 5*z**6 wrt z?
60*s*z**2 + 72*s*z + 600*z**3
What is the derivative of -2119*w**4 - 13?
-8476*w**3
Find the third derivative of 18*p*t**5 + 6*p*t**4 + 3*p - t**3 - 2*t**2 + 9 wrt t.
1080*p*t**2 + 144*p*t - 6
Find the second derivative of 763*l**2*p**2 + 7*l*p**2 + 12*l wrt l.
1526*p**2
Find the third derivative of 2*c**4 - 11*c**3 - 2*c**2 - 31 wrt c.
48*c - 66
Find the second derivative of 5*b**5 - 3*b**2 - 176*b wrt b.
100*b**3 - 6
What is the second derivative of 3*g*k*t**2 + g*k*t - g*t**2 + 4*g*t - 476*k*t**2 + 3*k - 13 wrt t?
6*g*k - 2*g - 952*k
What is the derivative of 7736*h + 5441 wrt h?
7736
Find the second derivative of -c**2*t**4 - 124*c**2*t**2 - 29*c**2*t + c**2 + 2*c wrt t.
-12*c**2*t**2 - 248*c**2
Differentiate 2653*y**2 - 1396.
5306*y
Differentiate 208*m**4 + 222.
832*m**3
Find the first derivative of 44*r**4*x - 23*r**2 - 739*x wrt r.
176*r**3*x - 46*r
What is the third derivative of -3*t**2*z**4 - 2*t**2*z + 27*t*z**2 wrt z?
-72*t**2*z
Differentiate 9*g**3*t*v**3 - 3*g**3*v**2 - g*v**3 - 9*t*v**3 wrt t.
9*g**3*v**3 - 9*v**3
What is the third derivative of 6*j**5 + 63*j**4 - 2*j**3 + 2*j**2 + 2*j + 173?
360*j**2 + 1512*j - 12
Find the second derivative of -4130*l**2*p**3 - 250*l**2*p - p**4 - p wrt p.
-24780*l**2*p - 12*p**2
What is the third derivative of 20788*u*z**3 - 110*u*z**2 - 73*u*z wrt z?
124728*u
Find the first derivative of 10*a**4 - 13*a**3 - 390.
40*a**3 - 39*a**2
What is the first derivative of -28*d**3*j**2*l + 2*d**3*j**2 + 23*d**2*j**3*l - 56*d*j**3 - 21*d*j**2 wrt l?
-28*d**3*j**2 + 23*d**2*j**3
What is the second derivative of -3078*f**2*o*z**2 + 16*f**2*o*z + 6*f**2*o + 3*o*z wrt z?
-6156*f**2*o
Find the first derivative of -2017*m**3*v**3 - m - v**3 + 144*v**2 wrt m.
-6051*m**2*v**3 - 1
Differentiate 7460*t* | {
"pile_set_name": "DM Mathematics"
} |
242 - 242) + (0 + 3 + 1)*(2*f - 2*f + f))*(-2*f + 6*f - 3*f).
570*f**2
Expand (b**4 - 8*b**4 + b**4)*(53 + 3*b + 28 - 44).
-18*b**5 - 222*b**4
Expand (2*p**4 - p**4 + p**4 - 38*p**4 - 31*p**4 + 51*p**4 - 3*p**4 - 2*p**4 - p**4 + (-1 + 4 - 1)*(p**4 + 2*p**4 - 5*p**4))*(7 + 1 - 2 + 3*p).
-78*p**5 - 156*p**4
Expand (10*l - 10*l - 5*l**4)*(27 + 538 - 288).
-1385*l**4
Expand -4 + 4 - 5*q**2 - q**2 + q**2 - q**2 + (5*q**2 - 2*q**2 + 0*q**2)*(-109 - 116 + 66).
-483*q**2
Expand (-86*f**3 - 125*f**3 - 152*f**3)*(-1 + 1 + 2*f + (-1 + 5 - 2)*(-f - 6*f + 5*f) + 21 - 25 - 11*f - f).
5082*f**4 + 1452*f**3
Expand (37*d - 119 + d**2 + 5 + 71)*(0*d + d - 2*d).
-d**3 - 37*d**2 + 43*d
Expand (-1 - 3 + 2)*(60173*f - 60173*f + 144*f**4)*((-1 - 2 + 5)*(-3 - 1 + 5) + 2 - 4 + 3)*(2 - 2 + f).
-864*f**5
Expand (105*c**2 + 13*c**2 + 111*c**2)*(-8*c**3 - 19*c**3 + 2*c**3 + (4*c + 0*c - 2*c)*(0*c**2 + 4*c**2 - 2*c**2) + 4*c**3 - 2*c**3 + 0*c**3).
-4351*c**5
Expand (-11*d + 4*d - 2*d)*(132 - 77 + 165).
-1980*d
Expand ((r + 1 - 1)*(-r + 2 - 2) + 2*r**2 - 7*r**2 + 0*r**2)*(-13*r**3 - 5*r**3 - 24*r**3).
252*r**5
Expand 7*p**4 - 2*p**4 + 32*p**4 - 5*p**4 + 16*p**4 + 3*p**4 + (-1 + 4 - 2)*(-3*p**4 + 3*p**4 + 2*p**4).
53*p**4
Expand (-14*i**3 + 12*i**3 + 21*i**3)*(5024 - 5024 - 51*i) - i**4 - i**4 + 0*i**4.
-971*i**4
Expand -4728*v**2 + 4728*v**2 - 2 - 20*v**4 - 43*v - 9*v**4 + 43*v + (-4 - 1 + 3)*(0*v**3 + 0*v**3 - 2*v**4) + v**4 + 0*v + 0*v.
-24*v**4 - 2
Expand (25 - 19*x + 4 + 17*x)*(4 - x - 3 + 1)*(-2*x + 2*x + 2*x).
4*x**3 - 66*x**2 + 116*x
Expand (5*m - 3*m - 8*m)*(18*m**3 - m**4 - 10*m**3 - 5*m**3) - 2*m**5 + 3 - 3 + 3*m - 3*m + m**5 + (-2*m + m - m)*(4*m**4 - 2*m**4 - m**4).
3*m**5 - 18*m**4
Expand 5*w**5 - 2*w**5 + 4*w**5 + (22 - 22 - 5*w**2)*(3*w**3 - 4*w**3 - 3*w**3).
27*w**5
Expand (-5080*c + 2672*c - 866*c - 2050*c - 4513*c)*(0*c**2 + 3*c**2 - 4*c**2).
9837*c**3
Expand 5*n**3 + 2*n - 2*n + n**2 + n**3 - n**2 + (-61 - 140 + 284)*(n**3 + n**3 + n**3).
255*n**3
Expand (0 - 2 + 4 + (-4 + 3 - 1)*(2 + 1 - 4))*(424*u - 1024*u - 912*u).
-6048*u
Expand -555*f**3 + 291*f**3 - 623*f**3 + (3*f - 3*f - 2*f**3)*(-2 + 4 + 0) + (4*f - f - f)*(f**2 + 0*f**2 + 0*f**2).
-889*f**3
Expand (4*z**3 - z**3 - z**3)*(-22 + 173769*z + 2*z**2 - 172591*z + 20).
4*z**5 + 2356*z**4 - 4*z**3
Expand (-3 + 1 - 2)*(3 + 0 - 5)*((0*o**2 + 2*o**2 - 3*o**2)*(o**2 - 6*o**2 + 4*o**2) + 2*o**4 - 4*o**4 + 4*o**4 - 27*o**4 + 93*o**4 + 74*o**4).
1144*o**4
Expand (82*q - q + 57*q + 25)*(-1 - 2 + 4).
138*q + 25
Expand (-1 - 2 + 6)*(0 + 0 - 2)*(-4 - 6*m + 4)*(-2*m - 12329 + 12213 + 0*m).
-72*m**2 - 4176*m
Expand (-8*n + n - 3*n)*(48 - 77 - 180)*(-2*n + 0*n + n)*(-2*n**3 - 3*n**3 + 3*n**3).
4180*n**5
Expand -59*p**2 + 94*p**2 + 218*p**2 + (6*p**2 + 6*p**2 - 3*p**2)*(-1 + 2 + 1).
271*p**2
Expand (-1793 + y - 3914 + 8162)*(-5*y**2 + 3*y**2 + 0*y**2).
-2*y**3 - 4910*y**2
Expand (2*f + f - f + (0 + 3 - 1)*(f + 0*f - 5*f))*(-1 + 0 + 0)*(3 - 3 - f).
-6*f**2
Expand (2*c**2 + c**2 - 5*c**2)*(298 + 170 - 60 + 8).
-832*c**2
Expand -3*f**3 + f**3 + f**3 + (-4 + 4 - 2)*(-4*f**3 + f**3 + 2*f**3) - f**3 + 0*f**3 - 8*f**3 - 22 + 3*f**3 + 274*f - 274*f.
-5*f**3 - 22
Expand -2 + 4*x**3 - 2*x**4 - 1 + 5 + (x**2 - 2*x**2 + 3*x**2)*(2*x - 3*x**2 - 2*x) + 22*x**4 - 51*x**3 + 51*x**3.
14*x**4 + 4*x**3 + 2
Expand (0 + 1 + 0)*(147*o**2 + 345*o**2 - 311*o**2) + (12*o - 22 + 22)*(2*o + o - 5*o).
157*o**2
Expand (-228*g + 441*g - 214*g + 541)*(0 + 0 + 1).
-g + 541
Expand (0*q - 3*q + 5*q)*(-938*q - 5645*q + 167*q - 2422*q).
-17676*q**2
Expand (54 + 55 - 29)*(21*z - 19*z + 13*z).
1200*z
Expand -3*m**3 + 3*m**3 - 13*m**5 - m**5 - 2 + m**5 - 2*m**5 + (m**2 + 5*m**2 - m**2)*(2*m - 2*m - 2*m**3) + 0*m**5 - m**5 + 0*m**5.
-26*m**5 - 2
Expand (-3*a + a + 4*a)*(-3*a**3 + 6*a**3 - 2*a**3) + ((-1 - 2*a + 1)*(-1 - 3 + 2) - 4*a - 2*a + 3*a + 2*a - 6*a + 9*a)*(a**3 - 5*a**3 + 3*a**3).
-4*a**4
Expand (26 - 3 - 907)*(-1 + 4 - 2 + q).
-884*q - 884
Expand (6*x**2 + 0*x**2 - 48*x**2)*(-3*x**2 - x**2 + 3*x**2)*(1 + x - 1 + (0*x + 0*x - x)*(4 + 0 - 5) + 12*x - x + 9*x + (-1 + 0 - 1)*(4 - 4 + x)).
840*x**5
Expand (2 + 2 - 2)*(-54 - 826*p + 421*p + 412*p)*(-4 + 4 + 10).
140*p - 1080
Expand (33*i**3 - 767*i + 767*i)*(-14 - 10*i + i + 10*i).
33*i**4 - 462*i**3
Expand (11*w + 20*w + w)*(0*w**3 - 3*w**3 + 2*w**3) - 2*w**4 + w**4 + 3*w**4.
-30*w**4
Expand 3*v**4 - 13*v**4 - 83*v**4 + (5*v**3 - 3*v**3 + 0*v**3)*(2 - 2 + v) + v**4 - 2 + 2 - 22*v**3 - 15*v**4 + 22*v**3 + (0 - v**4 + 0)*(6 - 1 - 4).
-106*v**4
Expand (339*r**4 - 166*r**4 - 165*r**4)*(-39 + 39 - 12*r) + (r**4 - r**4 - r**4)*(3*r + 0*r - r).
-98*r**5
Expand (j - 3*j + j + (-1 + 4 - 1)*(0*j + 0*j + 2*j) - 5*j + 2*j + j + 4*j - j - 5*j)*(-259*j**3 - 272*j**3 + 603*j**3).
-72*j**4
Expand (1 - 1 + 2*v)*(-12*v + 6958 - 6960 + 442*v).
860*v**2 - 4*v
Expand 3509*t - 292*t**5 - 3509*t + (0*t**4 + t**4 - 3*t**4)*(0*t - 4*t + 2*t) + t**5 + t**5 - 3*t**5 - 4*t**5 + 6*t**5 + 2*t**5.
-285*t**5
Expand (201 - 91 - 82*r - 37)*(-2 + 4 - 1).
-82*r + 73
Expand 578*b**2 - 64 - 331*b**2 + 64 + (2*b**2 - 2*b**2 + 2*b**2)*(-4 + 5 - 16) + 4*b**2 - 2*b**2 + 0*b**2 - b.
219*b**2 - b
Expand 3 - 43*a**3 + 72*a**4 - 61*a**4 - 19*a**4 + (0*a**2 + 3*a**2 - 4*a**2)*(-3*a**2 + 3*a**2 - a**2).
-7*a**4 - 43*a**3 + 3
Expand (0*x + 2*x + 0*x)*(-2*x + 0*x + 0*x) - 16*x**2 + 2*x**2 - 15*x**2 - 63 - 28*x + 27*x - x**2 + 83.
-34*x**2 - x + 20
Expand (-2*l + 3*l + l)*(-l + 0*l - l) + 0*l**2 + 13*l**2 - l**2 - 24*l + 24*l**2 + 24*l.
32*l**2
Expand 66*b**2 - 66*b + 66*b + (34*b - 49*b - 63*b)*(3*b - 5*b + b).
144*b**2
Expand 11*a**5 + 66*a**5 - 43*a**5 + (-2*a**5 + a**5 - 2*a**5)*(-3 - 3 + 3).
43*a**5
Expand (2*n + 2*n - 6*n)*(23*n + 5091 - 6312 - 24*n - 7*n**3).
14*n**4 + 2*n**2 + 2442*n
Expand (-2*t + 4 - 4)*(-5 + 2 + 1) + (-2 - 2 + 3 + 2 + 2 - 2 + (-1 + 1 + 1)*(3 - 3 - 2) - 2 - 1 + 1)*(-4*t + 3*t + 2*t)*(217 - 146 - 245).
526*t
Expand (7*p - 7*p + 5*p**2)*(-12*p + 6*p + 4*p + (p + 0*p - 3*p)*(-2 + 0 + 3) - 8*p + 10*p + p).
-5*p**3
Expand (77 - 77 - 10*v)*(-1 - v**2 + 1)*(-143*v**2 + 105*v**2 + 100*v**2).
620*v**5
Expand (-262*z**3 + 370*z**3 + 376*z**3)*(-2*z + z - 2*z).
-1452*z**4
Expand (-3 - 3 + 0)*(5*i**2 - 4460 + 8914 - 4432).
-30*i**2 - 132
Expand (-2 + 2 + 2*s - 3 + 3 - 2*s + (-4*s + s + 4*s)*(2 - 3 - 1) + 52*s + 178*s - 50*s)*(2*s**2 + 7*s**2 - 7*s**2).
356*s**3
Expand -d + 5*d - 4 - d**3 - 4*d**3 + (-4 - 3 + 5)*(18*d + 780 - 780)*(d**2 + d**2 - 4*d**2 - d**2 + 5*d - 5*d + (-3*d + 4*d + d)*(3*d + d - 2*d)).
-41*d**3 + 4*d - 4
Expand (2 - c - 2)*(1 + 2*c - 1) + c - c + c**2 - 29*c**2 - 213*c + 213*c + (49*c + 31*c - 56*c)*(-1 + 5*c + 1).
90*c**2
Expand (3 + 3 - 5)*(290 + 24 + 42)*(-3*f**2 + 7*f**2 - 3*f**2).
356*f**2
Expand (6 + 6 + 2)*(-6*c**4 + 2*c**4 + 3*c**4) + 493*c**4 - 42490 + 42490.
479*c**4
Expand (0 - 13 - 8)*(5*s - 5*s - s)*(-5 + 87 + 6)*(-2 + 4 - 3).
-1848*s
Expand (1 - 1 - j)*(j**4 + 4*j**4 - 2*j**4)*(-79 + 7 - 102).
522*j**5
Expand (2 + 0 + 5)*(-j + 4 - 4 + (2*j + 0*j - j)*(3 - 2 + 5)) - 4*j - j + 2*j.
32*j
Expand 105*z + 8*z + 90*z + 4 + z - 4 + (-2 - z + 2)*(0 + 0 - 1) + z + z + 2*z.
209*z
Expand (-175 - 111 - 7 - 2*y + 22)*(3*y - 3*y + 2*y + (-2 + 2 - 6*y)*(-4 + 1 + 2)).
-16*y**2 - 2168*y
Expand (-2*b - 3*b + 3*b)*(-1 - 1 + 4) - 826*b - 87812 + 43908 + 43908 + 271*b - 500*b.
-1059*b + 4
Expand 4*z**4 - 2*z**4 - 5*z**4 + (-1 + 1 - 2*z)*(-2*z**2 + z - z)*(-106 + 16 + 87 + 233*z).
929*z**4 - 12*z**3
Expand -75 - 509*y + 255*y + 255*y + (9 - 7 + 0)*(-3 + 3 + y).
3*y - 75
Expand y**5 - 2*y**5 + 3*y**5 + (-2*y + 3*y + 2*y)*(-348*y**4 + 4439*y - 4439*y).
-1042*y**5
Expand (0*t**2 + 5*t**2 - t**2)*(-t + t + t) + (-2*t**2 + 2 - 2)*(-214 + 73*t + 214).
-142*t**3
Expand (-22 + 26 - 22)*(-4 + 0 + 3)*(9 - 8 - 25)*(-4*c - c + 4*c).
432*c
Expand (49*k**3 - 26*k**3 + 9*k**3)*(-4 - 2 - 2) - 2*k**3 + k**3 + 2*k**3.
-255*k**3
Expand 2*l**2 + 2 - 2 - 4*l**2 + 3*l**2 - 3*l**2 + (-5*l + 4*l - 2*l)*(l + 2*l - 7*l) + (-5 + 4*l + 5)*(-4 - 2*l + 4) + 2*l**2 + 2*l**2 - 2*l**2.
4*l**2
Expand (1 + 2 - 4)*(-6*t**4 - t**4 + 3*t**4) - 4511*t**4 - 4418*t**4 + 124*t**3 + 132*t**3 + 131*t**3 - 387*t**3.
-8925*t**4
Expand (-2 + 0 + 0)*(-19*m - 5*m - 4*m) + 516*m - 440 + 440.
572*m
Expand v**3 + 2*v - 2*v - 2*v**3 + 4*v**3 + v**3 + (-v**3 + 0*v**3 + 2*v* | {
"pile_set_name": "DM Mathematics"
} |
without replacement from yyyyjyjyajjjyyya.
1/24
What is prob of sequence je when two letters picked without replacement from jkkefnnkjjfjff?
2/91
Four letters picked without replacement from {w: 3, g: 4, h: 2}. Give prob of sequence hwww.
1/252
Two letters picked without replacement from ooo. What is prob of sequence oo?
1
What is prob of sequence ap when two letters picked without replacement from szszpaapjsazzossas?
4/153
Two letters picked without replacement from {q: 3, p: 17}. Give prob of sequence qp.
51/380
Calculate prob of sequence lcfl when four letters picked without replacement from {f: 1, l: 4, x: 1, c: 2}.
1/70
Calculate prob of sequence xz when two letters picked without replacement from {n: 1, x: 6, z: 8, v: 3}.
8/51
Four letters picked without replacement from {x: 2, l: 5, q: 3, i: 2}. What is prob of sequence ixqq?
1/495
Two letters picked without replacement from {h: 1, r: 1, k: 1, m: 3, j: 1}. What is prob of sequence hj?
1/42
Calculate prob of sequence lktk when four letters picked without replacement from lotkdtklktakldoo.
9/3640
Two letters picked without replacement from {k: 15, c: 3}. What is prob of sequence ck?
5/34
Two letters picked without replacement from {u: 1, g: 3, t: 6, o: 8}. What is prob of sequence og?
4/51
Calculate prob of sequence ibi when three letters picked without replacement from bbbbbiibbb.
1/45
Three letters picked without replacement from {u: 4, t: 1, s: 1, k: 1, y: 1}. What is prob of sequence ukt?
1/84
Three letters picked without replacement from ririii. What is prob of sequence iir?
1/5
Calculate prob of sequence iar when three letters picked without replacement from aoiaaaroa.
5/504
Calculate prob of sequence pw when two letters picked without replacement from npinpolpoiwppoo.
1/42
Two letters picked without replacement from dvxdxbsb. What is prob of sequence sv?
1/56
Two letters picked without replacement from {s: 6, n: 12}. Give prob of sequence ns.
4/17
What is prob of sequence zn when two letters picked without replacement from {e: 1, z: 5, g: 5, n: 5}?
5/48
What is prob of sequence xub when three letters picked without replacement from vxbrvbvvaxuxrxrxruvr?
1/342
Two letters picked without replacement from {g: 2, v: 1, i: 13, k: 1}. What is prob of sequence ii?
39/68
Two letters picked without replacement from nwnnonnln. What is prob of sequence nn?
5/12
Three letters picked without replacement from ybgaybbkylbbggyyy. What is prob of sequence yya?
1/136
Three letters picked without replacement from iwlwwlllllw. Give prob of sequence ilw.
4/165
Three letters picked without replacement from blzjzjjzbb. What is prob of sequence jlj?
1/120
Two letters picked without replacement from {g: 3, h: 13}. Give prob of sequence hg.
13/80
What is prob of sequence vkvv when four letters picked without replacement from {v: 6, k: 13}?
65/3876
Calculate prob of sequence ww when two letters picked without replacement from {w: 7, a: 6}.
7/26
Four letters picked without replacement from jtyyttytttyyytyyt. Give prob of sequence jyyy.
1/170
Calculate prob of sequence dk when two letters picked without replacement from {d: 1, w: 1, e: 5, n: 6, k: 2}.
1/105
Calculate prob of sequence ee when two letters picked without replacement from eee.
1
Two letters picked without replacement from zpzsnzzpzzspeezp. Give prob of sequence pn.
1/60
What is prob of sequence iid when three letters picked without replacement from {g: 6, d: 5, m: 1, i: 5}?
5/204
What is prob of sequence kl when two letters picked without replacement from oldovkdddodb?
1/132
Two letters picked without replacement from {b: 1, x: 2, q: 7, u: 1, g: 9}. What is prob of sequence bx?
1/190
Calculate prob of sequence cv when two letters picked without replacement from {v: 1, a: 1, c: 2}.
1/6
Two letters picked without replacement from prrrrpr. Give prob of sequence pr.
5/21
What is prob of sequence jy when two letters picked without replacement from jqqzqyqqjj?
1/30
Calculate prob of sequence dif when three letters picked without replacement from jqqdjfqiji.
1/360
Three letters picked without replacement from {a: 10, b: 7, f: 1}. Give prob of sequence aaa.
5/34
Calculate prob of sequence vtqf when four letters picked without replacement from {q: 2, f: 12, t: 2, v: 4}.
8/4845
Two letters picked without replacement from otetxkdxtekt. Give prob of sequence xk.
1/33
Two letters picked without replacement from {r: 3, o: 8, x: 3, j: 2, k: 1, b: 1}. What is prob of sequence jb?
1/153
Calculate prob of sequence yeym when four letters picked without replacement from {e: 2, i: 1, f: 3, y: 5, m: 1}.
1/297
What is prob of sequence mmfk when four letters picked without replacement from {k: 4, f: 1, m: 2}?
1/105
Calculate prob of sequence gm when two letters picked without replacement from {m: 8, g: 3}.
12/55
What is prob of sequence oiip when four letters picked without replacement from iuupodi?
1/420
Two letters picked without replacement from bbaaaaa. Give prob of sequence aa.
10/21
Calculate prob of sequence bb when two letters picked without replacement from {f: 2, b: 5, o: 7}.
10/91
Three letters picked without replacement from qccccccqcccccqcccc. What is prob of sequence qcq?
5/272
Two letters picked without replacement from ukllhkkuhkluuukhlhu. What is prob of sequence lh?
8/171
Two letters picked without replacement from {u: 1, k: 5, i: 5}. Give prob of sequence uk.
1/22
Calculate prob of sequence oaom when four letters picked without replacement from {s: 3, m: 5, o: 4, a: 5, u: 1}.
5/1224
Three letters picked without replacement from {l: 1, u: 1, e: 1, d: 2, n: 2}. Give prob of sequence nel.
1/105
Calculate prob of sequence jck when three letters picked without replacement from ccjcakkckjcckkkjaj.
1/34
What is prob of sequence ov when two letters picked without replacement from {o: 2, v: 1}?
1/3
What is prob of sequence ptst when four letters picked without replacement from pztzzpszpstpp?
1/858
What is prob of sequence bjjb when four letters picked without replacement from jbjjjjjjjjjjjjjjbjj?
1/171
What is prob of sequence tv when two letters picked without replacement from {e: 1, x: 1, t: 3, o: 1, v: 1}?
1/14
Three letters picked without replacement from eemoeceececemf. Give prob of sequence ocf.
1/728
Calculate prob of sequence gu when two letters picked without replacement from {l: 1, k: 2, u: 1, g: 1, i: 1, q: 1}.
1/42
Calculate prob of sequence jx when two letters picked without replacement from vvvjxmjjujmmjummmm.
5/306
Four letters picked without replacement from uuhhhuh. What is prob of sequence hhhh?
1/35
Two letters picked without replacement from {s: 8, o: 1, f: 4}. Give prob of sequence fs.
8/39
Calculate prob of sequence yyb when three letters picked without replacement from bbyybbbbbybbbbybbbbb.
8/285
Two letters picked without replacement from ytyyyttttt. Give prob of sequence ty.
4/15
Four letters picked without replacement from {b: 1, w: 3, u: 5, v: 5, p: 2}. Give prob of sequence vbuv.
5/2184
What is prob of sequence xl when two letters picked without replacement from xlbxtxxyy?
1/18
Calculate prob of sequence nt when two letters picked without replacement from twwn.
1/12
Calculate prob of sequence iziz when four letters picked without replacement from {z: 7, i: 5}.
7/99
Four letters picked without replacement from {x: 2, h: 5, g: 5, w: 3}. What is prob of sequence ggwh?
5/546
Calculate prob of sequence ll when two letters picked without replacement from {x: 1, l: 17}.
8/9
Four letters picked without replacement from llolvonvvlllvvlnl. What is prob of sequence novl?
1/357
Three letters picked without replacement from {e: 5, f: 4, u: 6}. What is prob of sequence ffu?
12/455
What is prob of sequence tepe when four letters picked without replacement from peptrppe?
1/210
Calculate prob of sequence ipo when three letters picked without replacement from {r: 6, p: 3, j: 2, m: 3, i: 1, o: 5}.
1/456
Two letters picked without replacement from {m: 9, v: 3, r: 5, a: 2}. What is prob of sequence mm?
4/19
What is prob of sequence oo when two letters picked without replacement from oooooooodddoooddoo?
26/51
Two letters picked without replacement from {f: 6, d: 3, q: 8}. Give prob of sequence df.
9/136
Calculate prob of sequence hle when three lette | {
"pile_set_name": "DM Mathematics"
} |
t x = 11.6 - 12. Sort x, -1, 3 in descending order.
3, x, -1
Let r = -2.5 - -0.5. Let s = -0.39 + 7.39. Put r, 0, s in increasing order.
r, 0, s
Let w = -11 + 16. Let j = -4.7 + w. Let v = j - 0.2. Put 4, 2, v in ascending order.
v, 2, 4
Let z(h) = -2*h**2 + 13*h. Let x(r) = -r**2 + 12*r - 1. Let i(l) = -3*x(l) + 2*z(l). Let o be i(-10). Put -2, -3, o in ascending order.
-3, -2, o
Let h be (2/(-3))/((-4)/6). Let p = 22 + -23. Sort 5, h, p.
p, h, 5
Let r = -0.2 - -0.2. Let g = -1 + r. Let w = 99 - 99.1. Sort -2, w, g in ascending order.
-2, g, w
Let g = -10 - -6. Let t be -3 + (3 + 27)/2. Suppose 0 = -3*r - r - t. Put r, g, 3 in decreasing order.
3, r, g
Let p be -1 - (2 + 1 - -1). Let m = -30 - -34. Sort m, -3, p.
p, -3, m
Let o = 22 - 7. Let t be 12/o + (-3)/(-15). Let m be (-1 - -3)*4/(-2). Put m, t, -5 in descending order.
t, m, -5
Let q = -6 + 0. Let k = 10 + q. Let m be (1 - 0) + 2*2. Sort k, 1, m in decreasing order.
m, k, 1
Let m be 20/15*(-6)/(-4). Suppose -3*v = g - 16, -g + m*v = 7*v - 26. Put -2, g, 2 in ascending order.
-2, g, 2
Let j be (-4)/(8/((-8)/(-2))). Sort j, 3, 0.
j, 0, 3
Let y = 13/3 - 4. Let d = 0.9 - 0.5. Put d, y, -2 in descending order.
d, y, -2
Let g(c) = c**2 + 7*c + 2. Let b be g(-7). Suppose 0 = -b*x + 2 + 8. Sort x, 4, 1 in descending order.
x, 4, 1
Suppose -3*z = -6*z - 2*g - 3, 0 = -z + 4*g - 1. Suppose -3*j + 12 = -7*j. Put z, 4, j in decreasing order.
4, z, j
Let d(i) = -2*i - 3. Let k be d(-2). Let x be (3/3)/((-7)/21). Let l be 3 + -2 - 4 - x. Sort 3, k, l.
l, k, 3
Let m = 17 + -18. Put m, -3, 0 in descending order.
0, m, -3
Suppose -5*v + 20 = 5. Sort 4, -2, v in decreasing order.
4, v, -2
Let x(a) = -a**2 + 4*a - 5. Let i be x(4). Let n = i + 9. Let d be (-1 + 0 - -4)*-1. Sort n, d, 2.
d, 2, n
Let p = 37/93 + -2/31. Sort -2/11, 1, 4, p in increasing order.
-2/11, p, 1, 4
Let h(y) = -y**3 + 4*y**2 - 2*y. Let q be h(3). Put -8, 0, q in decreasing order.
q, 0, -8
Suppose -5*x - 105 + 15 = 0. Sort 1, 0, x in ascending order.
x, 0, 1
Let g(i) = -i + 3. Let k(z) = z**2 - z + 4. Let p be k(0). Let f be g(p). Let x(v) = -v**3 + 4*v**2 - 2*v + 5. Let u be x(4). Put u, f, -5 in increasing order.
-5, u, f
Let k = -0.2 + 1.2. Let g = 0 - k. Let w = g + 0.7. Sort -5, w, 0.5 in increasing order.
-5, w, 0.5
Suppose -s - 8 = 3*s, 0 = 3*w - 3*s - 9. Put w, 0, 4, -1 in descending order.
4, w, 0, -1
Suppose 1 - 5 = -4*i - 2*q, -i = -q - 4. Suppose b - 4*u - 9 = 0, 5*b + 3*u + 18 = 2*b. Sort -1, b, i in decreasing order.
i, -1, b
Let o = -0.2 + -2.8. Let v = -5/98 - -61/98. Sort o, -0.8, v in decreasing order.
v, -0.8, o
Suppose c + 4*n = -2*c - 26, -3*c - n - 11 = 0. Let x = -6 - -3. Put 5, c, x in decreasing order.
5, c, x
Let q = -0.06 + 0.46. Let r = 6.6 - 6. Let v = 0.1 - r. Sort q, v, -3 in increasing order.
-3, v, q
Let h be 3 + 1 + -3 + 3. Suppose -5*t - 5 = 0, -h*u - t = -2*u - 3. Put u, 3, -2/7 in descending order.
3, u, -2/7
Let z(y) = y + 2. Let m be z(10). Suppose 18 + m = 2*s. Let f be (-2)/4*(-10)/s. Sort f, -1/4, 3 in decreasing order.
3, f, -1/4
Suppose 5*c = -p + 10, -4*c = -2*p + 3*p - 9. Sort 0, -4, c in decreasing order.
c, 0, -4
Let c = -2.4 + -0.6. Let x = -2 + c. Sort -0.1, x, 0.5 in increasing order.
x, -0.1, 0.5
Let f(t) = -t**2 + t + 2. Suppose 3*u - 4*u = 0. Let z be f(u). Sort z, -4, 0.
-4, 0, z
Let t = -0.6 + 0.3. Let y be 5/3*40/100. Put t, -0.5, y in increasing order.
-0.5, t, y
Suppose -8 = -5*p - 48. Let o = -4 - p. Sort -5, o, 5.
-5, o, 5
Suppose -3*y = y + 3*m - 14, 3*y - m - 4 = 0. Let q be ((-4)/30)/(y/6). Let d be 1 + 1 - (-2)/(-1). Put q, 2/5, d in decreasing order.
2/5, d, q
Let r be (0/(-2))/(-3) + -4. Sort -2/9, 2/3, r in decreasing order.
2/3, -2/9, r
Suppose 3*r = -4*f + 35, 9 = 3*r + 3*f - 21. Suppose 0*k - 15 = r*k, -m = k + 6. Suppose 4*s + 1 - 13 = 0. Put s, m, 5 in increasing order.
m, s, 5
Suppose -2*p + 4*f = p + 35, 5*f = -5*p. Sort 10, p, -4 in decreasing order.
10, -4, p
Let a be 81/(-24) + (-9)/(-24). Let k = -3 + 6. Put -4, k, a in decreasing order.
k, a, -4
Let h = 0.98 - -0.02. Let x = h + 0. Sort x, 0.1, 0.3 in ascending order.
0.1, 0.3, x
Let f be 6/9*6/(-5). Let p be -1*(-48)/(-45)*3. Let a = p - -47/10. Sort f, a, 1/4.
f, 1/4, a
Let m = 0.24 - 2.24. Put -2/3, -3, m in descending order.
-2/3, m, -3
Let t be (12/(-70))/((-3)/5). Put t, -4, -1/6 in descending order.
t, -1/6, -4
Let f be (-22)/5 + (-6)/(-15). Let o be (f + 6 + -2)/2. Put -2, o, -2/5 in decreasing order.
o, -2/5, -2
Let x = -2.6 + 2.1. Put 0, 5, x in descending order.
5, 0, x
Let h(v) = v**3 - 10*v**2 + v - 12. Let r be h(10). Suppose -2*o = -5*y, -2*y = o - 3 - 6. Suppose -2*g = 3*g + o. Put g, 1, r in decreasing order.
1, g, r
Let k = 24 + -28. Put -5, k, -1, -3 in increasing order.
-5, k, -3, -1
Suppose v - 18 = 4*c + 3, -5*c - v = 24. Let u(d) = d**3 - 5*d**2 - 6*d + 5. Let m be u(6). Sort -3, c, m in ascending order.
c, -3, m
Suppose 4*y + 2*x + 3*x = -10, -2*y + 4 = -2*x. Suppose 0 = 2*c - c - 2. Sort y, c, 5 in ascending order.
y, c, 5
Let w be 4/(-6) - (-2)/(-6). Suppose 0 = -4*o - 12, -5*o - 6 + 3 = 2*c. Put -5, c, w in decreasing order.
c, w, -5
Let n = -11 - -8. Sort n, 10, -0.4.
n, -0.4, 10
Let c = -6.2 + 6. Sort -0.1, c, -5.
-5, c, -0.1
Suppose -7*y = -3*y + 56. Let k be y/(-35) - 26/(-10). Let t be (-3)/(-2 + 3) + k. Put t, -5, 1 in decreasing order.
1, t, -5
Let r be (4/5)/(((-36)/15)/4). Sort 0.1, r, -12, 0.4.
-12, r, 0.1, 0.4
Let v = -5.71 - -6. Let l = 0.01 + v. Sort -5, l, -0.5 in increasing order.
-5, -0.5, l
Suppose -2*s = s - 12. Let h be -1 - 1 - 8/s. Suppose 6 = -3*w - 0, 0 = 2*a - 5*w - 8. Put -2, a, h in decreasing order.
a, -2, h
Suppose -30*r = -27*r - 15. Suppose -8 = -0*s - 4*s. Sort r, s, 0 in descending order.
r, s, 0
Suppose y = -4*f - 4*y + 20, -3*y + 12 = 5*f. Suppose 3*h - 12 = f, -5*r - 4*h + 15 = -9*h. Put r, 2, 3 in decreasing order.
r, 3, 2
Let u(j) be the third derivative of j**4/24 - j**3/3 - 3*j**2. Let s be u(5). Suppose 0 = -3*o + 12 - s. Put 4, o, -1 in increasing order.
-1, o, 4
Let v = 156 - 159. Sort v, 1/15, -5/3 in decreasing order.
1/15, -5/3, v
Let a = 172 + -167. Sort 2/13, a, 3/2 in decreasing order.
a, 3/2, 2/13
Suppose -3*s + 33 = -6*s. Let b = 13 + s. Put b, 4, 1 in decreasing order.
4, b, 1
Suppose 0 = 4*o - 2*m + 9 + 1, 5*m - 25 = 0. Let q = 8 + -5. Put o, -4, q in ascending order.
-4, o, q
Let f = -4 - -22/5. Sort 1/2, f, -5 in decreasing order.
1/2, f, -5
Let g(k) = k**2 - 1. Let a be g(1). Sort a, -1/4, 3/2, 5 in ascending order.
-1/4, a, 3/2, 5
Let p = -0.6 + -12.4. Let g = p - -10. Put g, -6/5, -2/11 in descending order.
-2/11, -6/5, g
Let y(a) = -2*a + 12. Let d be y(5). Suppose 3*t = -7 - 5. Let z(m) = m**2 - 5*m - 6. Let r be z(6). Sort d, t, r in ascending order.
t, r, d
Let h(c) = -c. Let o be h(-6). Suppose -n + o = 2*n. Sort -2/7, n, 1/5 in decreasing order.
n, 1/5, -2/7
Let y(x) = -4*x - 4. Let q be y(-6). Suppose -q = -m + 5*a, 5*m - a - 1 = 3. Put 0.3, m, 3/7 in decreasing order.
3/7, 0.3, m
Suppose -4*c + 10 + 10 = 0. Let t = -4.9 + -0.1. Put c, 3, t in ascending order.
t, 3, c
Let v = -2 + 4. Let l = v - 4. Let g be 0/(2 - -1) + 2. Put g, 1, l in ascending order.
l, 1, g
Let j = -43.6 - -44. Sort 0.3, j, -1.4 in ascending order.
-1.4, 0.3, j
Suppose o - 2*o + 1 = 0. Suppose 0 = 4*r - 4*w - 56, 2*w + 2*w = -20. Suppose 0 = 6*h - h + 2*i + 21, -2*h - r = i. Sort h, o, 2 in decreasing order.
2, o, h
Let y(z) = -3*z - 3. Let r be y(-3). Let f = -8 + r. Suppose -4*b - 4*s = -16, b = 4*s + 8 + 1. Sort f, -3, b in ascending order.
-3, f, b
Let o be 9/(-4) - 23/(-92). Sort o, -28, 5, 2 in descending order.
5, 2, o, -28
Let y = 5 - 21. Let s = y + 12. Sort -3, s, 5 in descending order.
5, -3, s
Suppose 3*h = 5*l - 0*l, 4*l - 5*h = 0. Suppose l = 2*y - 3*r + 6 + 9, -y + 3 = 2*r. Let c = 3 + -2. Sort y, -1, c in decreasing order.
c, -1, y
Suppose -9*z - 8 = -5*z. Sort z, -4, 2 in decreasing order.
2, z, -4
Let l(p) = -p**2 + 6*p - 4. Let m be l(4). Sort 5, m, -3 in increasing order.
-3, m, 5
Let p(d) = -d + 11. Let y be p(8). Suppose -y*x - 8 = -x. Suppose 0 = 2*g - 5*g. Sort x, 2, g in decreasing order.
2, g, x
Let z = -32 + 16. Let j = 15 + z. Sort -0.5, j, 1/3 in increasing order.
j, -0.5, 1/3
Let h be (-3 - -2)*1*0. Suppose -1 | {
"pile_set_name": "DM Mathematics"
} |
first derivative of -2*z**3/3 + 1. Determine j(g(p)).
-50*p**2
Let g(r) = 1 - 4*r + 0*r**2 - r**2 + 3. Let p(m) = -153 + 68 + 0*m**2 + 3*m**2 + 74 + 11*m. Let o(i) = -11*g(i) - 4*p(i). Let b(j) = 11*j**2. Determine o(b(k)).
-121*k**4
Let i(l) = -l**2. Let s(t) = 654*t - 10. What is s(i(u))?
-654*u**2 - 10
Let o(i) = 3860*i**2. Let r(d) = -21*d. What is o(r(t))?
1702260*t**2
Let r(z) = -3*z**2. Let j(f) = f**3 - 14*f**2 + 14*f - 2. Let l be j(13). Let h = l - 9. Let x(u) = h*u**2 - u**2 - u**2 + 8*u**2. Give r(x(s)).
-192*s**4
Let v(u) = -10*u. Let g(h) = 5*h. Let b(s) = 7*g(s) + 3*v(s). Let l(t) = 10*t**2. Give l(b(r)).
250*r**2
Let w(p) = 16*p**2. Let z(i) = -2*i**2 + 22*i. Let c(l) = -l. Let n(r) = -44*c(r) - 2*z(r). Calculate n(w(s)).
1024*s**4
Let i(t) = -7*t**2 + 4*t. Let w(d) = 5*d**2 + 913*d - 913*d. What is w(i(p))?
245*p**4 - 280*p**3 + 80*p**2
Let k(g) = 7*g**2. Let v(a) = 2. Let r(t) = -t**2 + 1. Let q(y) = -2*r(y) + v(y). What is k(q(w))?
28*w**4
Let m(w) = -4*w. Let v(x) = -9543*x. Give m(v(j)).
38172*j
Let g(v) be the second derivative of -9*v**3/2 - v**2 - 21*v. Let f(u) = -1. Let b(x) = 2*f(x) - g(x). Let r(n) = n**2. Calculate r(b(c)).
729*c**2
Let n(h) = 1447 - h - 1447. Let c(l) = 52*l**2. Determine n(c(z)).
-52*z**2
Let x(i) = -42*i. Let j(w) be the third derivative of w**4/8 - 7*w**3/6 - 23*w**2. Let n(f) = -2*f + 4. Let s(p) = 4*j(p) + 7*n(p). Give x(s(g)).
84*g
Let r(u) = 22*u. Let x(p) be the third derivative of -5*p**4/3 + 605*p**2. Give r(x(o)).
-880*o
Let x(n) = 55*n**2. Let m(j) = -219 - 2*j + 219. What is m(x(v))?
-110*v**2
Let q(f) = 9*f - 4. Let o(h) = -1. Let v(a) = 4*o(a) - q(a). Let t(s) = -21*s**2 + 82*s**2 - 22*s**2 - 19*s**2 - 21*s**2. Calculate v(t(y)).
9*y**2
Let x(b) = -4*b. Let l(k) be the first derivative of -11 - 52*k**2 + 29*k**2 + 25*k**2. What is x(l(h))?
-16*h
Let p(r) = 15*r**2. Let w(k) be the first derivative of -7*k**2 + 5. Determine w(p(a)).
-210*a**2
Let g(k) = -4*k - 6. Let s(l) = -2379*l. Determine s(g(o)).
9516*o + 14274
Let f be (-2)/(-6) - (-70)/15. Suppose -f = 2*g + 3*h, 3*h - 19 = 3*g - 49. Let y(d) = 4*d**2 - g*d**2 - 6*d**2. Let m(u) = 4*u. Give m(y(l)).
-28*l**2
Let g(j) = -8*j**2. Let o(d) = -d**3 - d**2 + d. Let s be o(-2). Suppose s*a - 4*a + 10 = 0. Let m(y) = a*y - 2*y + 0*y - y. Give m(g(c)).
-16*c**2
Let p(y) = 2*y. Let k(o) = -2*o**2 - 34*o - 446. What is k(p(n))?
-8*n**2 - 68*n - 446
Let s(l) = 2*l. Let p(g) = 524383*g. Calculate s(p(o)).
1048766*o
Let g(m) = -3*m. Let t(n) = -26591*n. What is g(t(v))?
79773*v
Let y = -9 + 16. Let n(q) = 11*q**2. Let l(f) = -6*f**2. Let r(i) = y*l(i) + 4*n(i). Let s(u) = 6*u - 6*u - 3*u**2. What is r(s(d))?
18*d**4
Let j(g) = -2*g**2. Let r(s) = -2*s - 3. Let h be r(-2). Let o = -7 - -2. Let m(t) = t - 1. Let k(b) = -3*b - 5. Let v(w) = h*k(w) + o*m(w). Calculate v(j(a)).
16*a**2
Let m(c) = 2*c. Let d(o) = 4*o**2 + 10. Let s(x) = x**2 + 1. Let t = -48 - -18. Let v(k) = t*s(k) + 3*d(k). Give m(v(w)).
-36*w**2
Let b(c) = -15*c**2. Let v(h) be the second derivative of -h**4/12 - 2*h + 119. Give v(b(d)).
-225*d**4
Let v(n) = 8*n**2. Let i(y) = -4*y**2 + y + 1. Let d(w) = -34*w**2 + 8*w + 8. Let m(b) = -d(b) + 8*i(b). Give v(m(z)).
32*z**4
Let v(c) = 3*c. Let k(h) = -210*h**2 - 2*h - 72. Calculate v(k(d)).
-630*d**2 - 6*d - 216
Let a(j) = 68*j - 1. Let q(h) = -h**2 - 54*h. Calculate a(q(k)).
-68*k**2 - 3672*k - 1
Let c(p) be the second derivative of -4*p**3/3 + 521*p. Let a(f) = -45*f. Give a(c(g)).
360*g
Let s(t) = 2*t**2. Let y(c) = 27*c - 15*c - 13*c. Let n(i) = 78*i. Let m(p) = 2*n(p) + 130*y(p). Determine s(m(o)).
1352*o**2
Let r(d) = 5*d. Let s = -4 + 6. Let n(i) = -i**2 + 3*i**2 + 0*i**s. Let h(m) = m**2. Let p(z) = 3*h(z) - n(z). What is p(r(y))?
25*y**2
Let p(a) = 2*a. Suppose 0 = -3*c - 2*w + w + 31, 35 = 3*c - w. Let h = -4 + c. Let u(b) = 2*b - b + 2*b - h*b. What is u(p(s))?
-8*s
Let t(o) = -5*o**2. Let m(v) = -342 + 662 + 3*v - 331. What is m(t(j))?
-15*j**2 - 11
Let a(c) = 2*c. Let l(y) = 2527*y - 7. Calculate l(a(k)).
5054*k - 7
Let v(b) = 3*b**2. Let y(f) = 64274*f. Give v(y(z)).
12393441228*z**2
Let f(p) = -p**2 - 3*p + 2517. Let b(t) = 2*t**2. Give f(b(d)).
-4*d**4 - 6*d**2 + 2517
Let l(k) be the first derivative of -2/3*k**3 + 30 + 0*k**2 + 0*k. Let d(s) = 12*s**2. Calculate d(l(b)).
48*b**4
Let y be (-43)/(-3) + 14/21. Let r(b) = -204 - 8*b**2 + 204 - 2*b - y*b**2. Let m(i) = 2*i**2. Give m(r(w)).
1058*w**4 + 184*w**3 + 8*w**2
Let o(y) = 3*y + 14958. Let z(k) = -2*k**2. Determine o(z(x)).
-6*x**2 + 14958
Let j(c) be the first derivative of 2*c**4/3 + 7*c + 8. Let a(r) be the first derivative of j(r). Let i(u) = u. Give i(a(w)).
8*w**2
Let n(d) = -13*d. Let r(g) = 318*g**2. What is n(r(m))?
-4134*m**2
Let f(l) = -3*l**2 + 41*l. Let i(o) = -6*o - 4. Determine i(f(s)).
18*s**2 - 246*s - 4
Let f(q) = 4027566*q. Let y(o) = -o**2. Determine y(f(b)).
-16221287884356*b**2
Let g(q) = 361 - 31*q - 719 + 357. Let b(n) = 5*n**2. Calculate g(b(h)).
-155*h**2 - 1
Let w(z) = -z**2 - 1. Let k(c) = -12*c**2 - 5. Let j(a) = a**3 + 5*a**2 + a - 13. Let i be j(-4). Let x(g) = i*k(g) + 5*w(g). Let r(v) = -3*v. What is x(r(b))?
63*b**2
Let d(v) be the third derivative of -11*v**4/24 + 2*v**3/3 + 7*v**2. Let c(h) = h**2. Give c(d(k)).
121*k**2 - 88*k + 16
Let q(r) be the first derivative of 0*r - 1/2*r**2 - 9. Let b(v) = -11*v**2 + 5. Let y(u) = 27*u**2 - 12. Let i(k) = -12*b(k) - 5*y(k). Calculate i(q(j)).
-3*j**2
Let m(x) = 6*x**2 + 0 + 19*x**2 + 1. Let k(c) be the second derivative of c**4/6 - 2*c + 111. Give m(k(u)).
100*u**4 + 1
Let j(g) = -2 + 2 - g. Let x(o) = 11*o**2. Determine x(j(i)).
11*i**2
Let a(w) = 3*w. Let y(n) = n**2 + 4*n. Let x(l) = -104*l**2 - 20*l. Let v(q) = x(q) + 5*y(q). Calculate v(a(r)).
-891*r**2
Let h(o) = -2*o**2. Let b(l) = -8*l - l - 38*l + 5*l. Give b(h(z)).
84*z**2
Let g(l) = -20*l. Let y(h) = h**2 - 42. Let b(f) = 3*f**2 - 84. Let x(t) = 3*b(t) - 7*y(t). Let n(d) be the first derivative of x(d). What is g(n(k))?
-80*k
Let p(n) = 4*n**2. Let l be 7*(30/14 - 3). Let y be (-9)/l*96/9. Let x(m) = 5*m**2 + 10*m**2 - y*m**2. What is x(p(c))?
-16*c**4
Let z(l) = -10*l. Let s be (-6)/27 - 6/81*-57. Let h(p) = 2*p**2 - 3*p. Let w(d) = -2*d**2 + 4*d. Let n(o) = s*h(o) + 3*w(o). Give z(n(c)).
-20*c**2
Let a(x) = -x - 1019 + 1019. Let j(g) = -3*g**2 + 3*g. Let h(n) = -16*n**2 + 14*n. Let m(f) = -3*h(f) + 14*j(f). Calculate m(a(k)).
6*k**2
Let n(y) = 12*y**2 - 8*y. Let h(c) = c**2 - c. Let p(g) = -8*h(g) + n(g). Let r(o) = -3*o**2. Calculate p(r(j)).
36*j**4
Let c(x) = 5*x. Let t be 9 + -9 - 1*-4. Let a(n) = -t*n**2 - 99*n + 99*n. What is c(a(z))?
-20*z**2
Let k(i) = 277*i - 23. Let j(z) = -7*z. Give j(k(v)).
-1939*v + 161
Let x(v) = -8*v. Let a(b) be the third derivative of -b**5/30 + 20*b**3/3 + 333*b**2. Determine a(x(w)).
-128*w**2 + 40
Let f(i) = 212779*i**2. Let u(n) = n. Give f(u(q)).
212779*q**2
Let a(c) = c. Let x(i) = 6*i**2 - 4*i + 4. Let z(k) = -11*k**2 + 9*k - 9. Let l = -25 - -11. Let w = -5 - l. Let u(f) = w*x(f) + 4*z(f). Determine u(a(h)).
10*h**2
Let c(z) = -9*z**2. Let u(p) = -p - 725. Calculate c(u(j)).
-9*j**2 - 13050*j - 4730625
Let s(z) = -7*z**2. Let x(k) = -159669*k**2. Calculate s(x(w)).
-178459326927*w**4
Let f(d) = 181*d. Let p(n) = -32*n. Let j(r) = 6*f(r) + 34*p(r). Let c(q) = 369*q. What is c(j(a))?
-738*a
Let u(m) be the second derivative of 73/6*m**3 + 0*m**2 + 2 + 7*m. Let s(y) = y. Give s(u(f)).
73*f
Let z(m) = -7*m**2. Suppose 0 = 4*g + 4, 4*g = -4*k + 27 - 3. Let a(h) = -5*h + k*h - 4*h. Determine a(z(r)).
14*r**2
Let y(l) be the first derivative of -l**3 + 2. Let f(w) = -6*w**2 - 2*w**2 + 19*w**2. Determine f(y(s)).
99*s**4
Let v(l) = 2*l**2. Let b(r) be the third derivative of -r**4/12 + r**3/3 - 19*r**2. Let d(c) = -c**2 - 3*c + 3. Let q(w) = 3*b(w) - 2*d(w). Calculate q(v(x)).
8*x**4
Let w(m) = -841*m**2. Let u(h) = -h. Determine u(w(p)).
841*p**2
Let w(g) = 258*g**2. Let n(q) = -2*q + 157 - 320 + 163. Determine w(n(h)).
1032*h**2
Let t(y) be the first derivative of -2*y**4/3 - y**3/3 + 7*y**2 + 17. Let q(h) be the second derivative of t(h). Let k(r) = 2*r. Calculate k(q(n)).
-32*n - 4
Let z(q) = -4 + 4 - 3*q**2. Let u(p) be the third derivative of -3*p**4/8 + p**2 - 108*p. Deter | {
"pile_set_name": "DM Mathematics"
} |
be (49/(-2) - 2)*-12. Suppose -14*l + 16*l - 266 = 0. Let i = t - l. Is i composite?
True
Let w(y) = 100*y**2 + 43*y - 8. Is w(-13) a prime number?
True
Suppose 2*a = -2*w - 0*w + 16106, -3*a = -4*w - 24131. Is a composite?
True
Suppose -3*r + 2*m = -2*m + 68, 0 = -3*r + m - 53. Let x = -11 - r. Suppose 97 = x*b - 238. Is b a composite number?
False
Is 3134*((-33)/2)/(-3) a composite number?
True
Let m(r) = 5*r**2 + 7*r - 9. Is m(-13) composite?
True
Let z = 87 + -142. Let s = z - -254. Is s a prime number?
True
Let s = -27 - -20. Is s/(-2)*(-1464)/(-42) a prime number?
False
Let y(k) = -24282*k**3 - k**2 + 7*k + 7. Is y(-1) prime?
True
Let z(b) = -b**3 - 25*b**2 - 21*b - 299. Is z(-30) composite?
False
Let y = -14 - -14. Suppose -a = y, 3*j = -0*j + 3*a + 318. Is j composite?
True
Suppose 2*n - 1325 = -c, 1317 = c + 6*n - 2*n. Is c prime?
False
Is 180/(-60)*(-19157)/3 composite?
False
Let f(o) = 107*o + 10. Let b = -1 + 4. Is f(b) composite?
False
Let v(b) = 26*b**2 - 8*b - 7. Let a be v(-6). Suppose a = 3*i - 1462. Is i composite?
True
Let g = 13 - 18. Let k be 22/8 + g/(-20). Suppose -5*b - s = s - 339, k*s - 6 = 0. Is b a composite number?
False
Let t = 1057 + -48. Is t a prime number?
True
Suppose 3*n = -5*a + 213, 8*a = 7*a - 5*n + 25. Let v be (-83)/(-1) - 1/1. Let d = v + a. Is d a composite number?
False
Let k be (-22)/(-99) - (-2 + (-3146)/18). Let c(r) = r**2 - r. Let z be c(2). Suppose -k + 11 = -z*i. Is i a prime number?
True
Let s = 40 + -36. Suppose 7*z - s = 17. Is z a prime number?
True
Let r = -2063 - -1301. Let f = -199 - r. Is f a composite number?
False
Suppose -16 = -3*i - 2*i + s, 0 = 2*s + 2. Suppose w + 2 = -i*d, -2*d + 2*w = 2*d - 14. Is d - -78 - (-4 + 6) a composite number?
True
Let u(d) = -450*d**3 - 2*d**2 - 2*d - 1. Let r be u(-1). Let f = -156 + r. Is f a composite number?
False
Suppose -2*k + 1008 = -4562. Is k a composite number?
True
Let r(p) = 1997*p + 293. Is r(12) a prime number?
False
Suppose -5*n + 4*z + 4007 = 0, 3*n - 20 - 2393 = -2*z. Is n a composite number?
True
Suppose 5*n = 2*y + 10903, 524 + 1659 = n - y. Is n a composite number?
False
Let d(t) = -41*t + 7. Let u be ((-4)/(-5))/(4/(-10)). Is d(u) composite?
False
Suppose 9 = -4*k - 7. Is (k/(-12))/(-2*2/(-2388)) a composite number?
False
Let r(h) = -h**3 + 22*h**2 + 32*h + 6. Let d(w) = 5*w**3 - 87*w**2 - 129*w - 23. Let u(y) = 2*d(y) + 9*r(y). Is u(-21) a composite number?
False
Suppose -6*f + 80*f = 1344358. Is f a composite number?
True
Let c(o) = 448*o + 14. Let k(y) = 448*y + 15. Let r(n) = -2*c(n) + 3*k(n). Is r(3) a composite number?
False
Let l(a) = 39*a**2 - 9*a - 2. Let v be l(-7). Suppose 568 + v = 5*w. Is w*(-3)/24*-2 a composite number?
False
Suppose -23*b + 183370 = -342709. Is b prime?
False
Let n = 9920 + 6159. Is n a prime number?
False
Suppose 2*f - 3*f = -4. Suppose -11 = -f*b - 2*t + t, 0 = 3*b + 5*t - 21. Suppose -2*i = -i + b*s - 71, 3*i + 4*s = 213. Is i composite?
False
Suppose 0 = -1034*j + 1028*j + 18. Suppose -3*v + 36 - 9 = 0. Is (347/j)/(3/v) a composite number?
False
Suppose -2*p + g = 3*p - 12307, 0 = -4*g + 12. Is p prime?
False
Suppose 2715 = c + 3*r, 21*c - 13599 = 16*c - 3*r. Is c a composite number?
True
Is ((-96)/(-18))/(-8) + (-56938)/(-6) composite?
True
Let x(b) be the second derivative of 13*b**3/6 + 5*b**2 + 38*b. Is x(13) a composite number?
False
Let x(n) = n**3 - 6*n**2 - n + 3. Let l(f) = -2*f**2 - 9*f + 2. Let i be l(-4). Let j be x(i). Is (-3)/((-2)/(-44)*j) composite?
True
Is (7 + (-120438)/12)/((-1)/2) prime?
False
Let c be (30/4)/(-5)*-2. Suppose 321 - 54 = c*v. Suppose -5*r = -v - 246. Is r a composite number?
False
Let y = 828 - -259. Is y a composite number?
False
Let d(o) = o**2 + 2*o + 2521. Let n(a) = a**3 - 4*a**2. Let w be n(4). Is d(w) composite?
False
Suppose -7 = 4*w + 9. Is -10 + (-57)/(-6) - 6526/w a composite number?
True
Let h = 6746 + -3655. Is h composite?
True
Let f(c) be the second derivative of 88*c**3/3 - 7*c**2/2 + 13*c. Is f(6) a composite number?
False
Let m(x) = x**3 - 6*x**2 + 3*x + 3. Let w be m(4). Let h(u) = -4*u - 21. Is h(w) composite?
False
Suppose -7*d + 119451 = 3*z - 11*d, 0 = -2*z + d + 79639. Is z a prime number?
True
Suppose 0 = 4*d - 16 - 4. Let n(z) = 23*z**2 - 2*z + 7. Let v be n(d). Suppose 0 = 5*f - f - v. Is f a composite number?
True
Let s(o) = 11*o**2 + 6*o + 4*o**2 - 103 + 102. Is s(10) a composite number?
False
Let y(v) = -v - 8 + 8 - 23*v**2 - 150*v**2. Let z be y(2). Let m = -483 - z. Is m prime?
True
Suppose 0 = 3*n + 1 - 16. Suppose -n*q = -11*q + 1482. Is q prime?
False
Suppose -9*g = -1977 + 231. Is g prime?
False
Let b(z) = 2223*z**2 - z + 13. Is b(3) a composite number?
True
Is ((-2)/16*-4820)/(1/2) composite?
True
Suppose 232 = -4*k - 460. Let s = -250 - k. Is (1 + -4)/3*s a prime number?
False
Let k(h) = h - 3. Let f be k(-5). Let i(y) = -y**2 - 13*y - 10. Let b be i(f). Is 6345/b - (-1)/(-2) a prime number?
True
Let k = -7 + 12. Suppose -3*b + 2*y + 48 = -20, -4*y - 114 = -k*b. Is b composite?
True
Suppose -5*i + 2*i = 8841. Let r = -378 - i. Suppose 543 + r = 8*v. Is v a prime number?
True
Let o = 21653 + -9352. Is o a composite number?
False
Suppose -2*s + 10 = 0, 3*n + 2*n + 2*s + 90 = 0. Let o = 23 + n. Suppose o*f - 761 = 2*u, 4 = -u - 0. Is f a composite number?
False
Let l(v) = 55*v**3 + v. Let b be l(1). Is -5 + (-6)/(-3) + b a composite number?
False
Suppose -7*a = -10*a + 30. Let w(o) = 19 - a - 2*o + 7 + 5*o**2 + 8*o. Is w(-7) a prime number?
False
Let z(o) = 11*o**2 + 14*o - 3. Let w be z(-6). Let h = w - 50. Is h prime?
False
Let m = 133 - 286. Let r(z) = -7*z**2 + 7*z + 2. Let f be r(-6). Let w = m - f. Is w a prime number?
True
Let h = -2247 - -8828. Is h a composite number?
False
Let v(p) = -p**3 + p**2 - 2*p + 5. Let g be v(0). Suppose 5*d - 7*w = -3*w + 2337, -w - 2343 = -g*d. Is d a prime number?
False
Let r = 4 - 2. Let s = 114 + -124. Is 14/s*(-10)/r a composite number?
False
Suppose 0 = 3*j + 2*m - 7819, j + 5*m = -0*j + 2615. Is j prime?
False
Let x(g) = -g**2 - g + 2. Let p be x(-3). Let v be (8/(-5))/(p/10). Suppose -r - 2*t + 475 = 0, 3*r - v*t - 926 = r. Is r composite?
True
Suppose 4 = 3*a + 1. Let j(w) = -264*w**3 - 2*w**2 - 2*w + 5. Let r(t) = -265*t**3 - 3*t**2 - 2*t + 6. Let y(h) = -5*j(h) + 4*r(h). Is y(a) composite?
True
Let b(q) = -q**3 + 69*q**2 + 31*q + 40. Is b(45) composite?
True
Suppose 0 = -2*x + a + 60483, 0 = x + 3*a - 1735 - 28489. Is x a prime number?
False
Suppose 9393 = b + 3324. Suppose n = -5*r + 10283 + b, 3259 = r + 4*n. Is r composite?
False
Let x = 1599 - -2758. Is x a prime number?
True
Let w = 55 + -57. Let j(c) = -1167*c - 5. Is j(w) composite?
True
Suppose 8*b + 41 = 201. Let t = b - 7. Is t composite?
False
Suppose -5*o + 2*o = 0. Suppose 942 = 2*h - o*h. Is h composite?
True
Is (-6)/21 + 1168475/245 composite?
True
Is (-708)/(-30) + 9/(-15) composite?
False
Let i(t) = -3*t**3 + 7*t**2 - 5*t + 27. Is i(-20) prime?
True
Let x(y) = 5*y + 6. Let v be x(-1). Is ((-3)/12)/(10527/(-10524) + v) a prime number?
True
Suppose 3*p + 13*j - 50909 = 9*j, -16973 = -p - 2*j. Is p a composite number?
False
Let m(q) = 21775*q - 642. Is m(5) composite?
False
Suppose 5 + 10 = 3*q. Suppose -5*p - 4*y - 424 = -p, -q*y = -4*p - 442. Let i = p - -159. Is i a prime number?
False
Let y(b) = -27*b - 4. Let x(t) = -t**3 - 11*t**2 - 10*t - 2. Let w be x(-10). Let o be ((-20)/(-30))/(w/21). Is y(o) prime?
False
Let s = 3247 + -654. Suppose -2*t + 7*t + 3210 = 5*z, t = -4*z + s. Is z composite?
False
Let b(t) = 2*t**2 + t**2 - t + 5*t**3 - 2564 + 2562. Is b(3) a composite number?
False
Suppose -3*s = -2*s - 3. Suppose -4*p + 949 = -s*p. Is p a prime number?
False
Is 1 - -10 - (-1270566)/31 a prime number?
False
Suppose -2*y = -4*y + 4682. Let v = y - 1017. Is ((-2)/2)/((-4)/v) a prime number?
True
Let o be (-1 - -167)*15/10. Suppose -t - 2*t = -o. Is t a composite number?
False
Let v be ((-30)/4)/(1/2). Let r be (-4)/(-6) + (-2 - 8/(-6)). Is v*(r + 71/(-3)) a prime number?
False
Is (-1 - -39823)*(-13)/(-78) a prime number?
True
Suppose 11*c = 6*c + 10. Is (-684 - (1 - c))*1/(-1) a prime number?
True
Is ((-85)/(-17))/((-2)/(-622)) a composite number?
True
Let u(j) be the first derivative of 222*j**2 + j - | {
"pile_set_name": "DM Mathematics"
} |
ine c*d(k) + 5*b(k).
k**3 - 42
Let c(v) = -5*v**3 + v**2 - 2*v + 2. Let u(j) = -26*j**3 + 5*j**2 - 11*j + 10. Let k be ((-11)/11)/((-1)/(-28)*-2) - 3. Determine k*c(g) - 2*u(g).
-3*g**3 + g**2 + 2
Suppose -t - 3*b - 35 = -59, 2*b = 3*t + 27. Let s(u) = 2*u + 1 + 4*u - 5*u. Let m(f) = -1. Give t*m(n) - s(n).
-n + 2
Let f(o) = -10*o - 6. Let i(b) = -49*b - 217. Let r(n) = 12*n + 49. Let k(z) = 2*i(z) + 9*r(z). Determine -6*f(m) - 5*k(m).
10*m + 1
Suppose 92*p - 88*p + 6*t + 132 = 0, 4*p + 5*t + 112 = 0. Let u(v) = v - 1. Let a(i) be the first derivative of -4*i**2 + 8*i - 1. What is p*a(b) - 21*u(b)?
3*b - 3
Let z(l) = 8*l**3 + 5*l**2 + 3*l. Let x(v) = v**3 + v**2 + v. Suppose 166 = -5*b - 19. Let d = b + 38. Calculate d*z(a) - 5*x(a).
3*a**3 - 2*a
Let o(g) = 34 + 2650*g - 2658*g - 33. Let r(q) = 9*q - 1. Give -6*o(s) - 4*r(s).
12*s - 2
Let b(c) = -2*c + 2 + 1 + 9*c - 6. Let g(t) = -8*t + 93*t - 40*t - 11*t - 14. Determine 28*b(i) - 6*g(i).
-8*i
Let y(q) = -116*q + 19. Let v(o) = 231*o - 43. Calculate -2*v(j) - 5*y(j).
118*j - 9
Let r(m) = -57*m + 1. Let o(q) = -36*q + 2 - 19*q + 36*q - 2. Give -7*o(f) + 2*r(f).
19*f + 2
Let t(d) = -2*d**2 - 54*d - 9. Let w(x) = -4*x**2 - 111*x - 16. What is -5*t(z) + 2*w(z)?
2*z**2 + 48*z + 13
Suppose 236*u + 100 - 65 = -201. Let k(c) = 1. Let y(f) = 4*f - 9. Calculate u*y(i) - 5*k(i).
-4*i + 4
Let u(i) = -2*i**2 + 2*i + 2. Let m(d) = 25*d**2 - 35*d - 11. Calculate -m(n) - 6*u(n).
-13*n**2 + 23*n - 1
Let s(r) = 2*r**2 + 6*r + 30. Let t(j) = 9*j**2 + 23*j + 120. Calculate -15*s(m) + 4*t(m).
6*m**2 + 2*m + 30
Let i(r) = 1051479*r**2 - 1677*r - 3354. Let n(t) = 5015*t**2 - 8*t - 16. Calculate -8*i(h) + 1677*n(h).
-1677*h**2
Let w(f) = -f**2 + 45. Let j(a) = -7*a**2 - 2*a + 386. Give j(i) - 5*w(i).
-2*i**2 - 2*i + 161
Let x(f) = -2*f + 37. Let c(p) = 2294*p + 294. Determine c(i) - 8*x(i).
2310*i - 2
Let z(h) = -66*h**3 - 27*h + 27. Let s(v) = -5*v**3 - 2*v + 2. Suppose -9*f - 2001 = 2283. Let l = f + 449. Calculate l*s(b) + 2*z(b).
3*b**3
Let t(r) = 19*r**2 - 2*r - 32. Let u(v) = -2*v**2 + 8. What is -t(d) - 5*u(d)?
-9*d**2 + 2*d - 8
Let x(f) = -f**3 + 4*f**2 - f - 6. Let b(g) = g**3 + g**2 - g. What is -3*b(n) + x(n)?
-4*n**3 + n**2 + 2*n - 6
Let h(z) = z - 295. Let o(d) = -2*d + 867. Determine -22*h(p) - 8*o(p).
-6*p - 446
Let b(s) = s**2 + s. Let j(o) = -o**3 - 11*o**2 + 3*o + 35. Let q be j(-11). Let k(h) = 7*h**q - 5*h + 2 - 6*h**2 - 4*h**2. Calculate -4*b(g) - k(g).
-g**2 + g - 2
Let a(q) = 227*q**2 + 16*q - 28. Let l(d) = 151*d**2 + 10*d - 18. Give 5*a(v) - 8*l(v).
-73*v**2 + 4
Let i(y) = 4*y + 15. Let l(b) = 6*b - 19. Let u(s) = -2*i(s) - l(s). Let k(z) = 9*z + 7. What is -8*k(f) - 5*u(f)?
-2*f - 1
Let o be ((-252)/45)/(-14)*(5 + 0). Let x(p) = -1720*p - o + 1717*p + 2. Let h(n) = -15*n - 1. Give 2*h(f) - 11*x(f).
3*f - 2
Let m(q) = -20*q - 48. Let s(j) = -25*j - 51. Determine -3*m(y) + 2*s(y).
10*y + 42
Suppose 15*u - 390 = -450. Let l(i) = 2*i**2 + 16*i - 9. Let m(v) = v**2 + 8*v - 4. Give u*l(b) + 9*m(b).
b**2 + 8*b
Let j(w) = 14*w - 11. Let d be ((6 + (-210)/36)*-9)/(3/34). Let h(q) = 2*q - 7. Let x(a) = 5*a - 13. Let r(i) = 5*h(i) - 3*x(i). What is d*r(p) - 6*j(p)?
p - 2
Let b(f) = 200*f**2 + 4*f. Let j(r) = -96*r**2 - 2*r. Determine 4*b(o) + 7*j(o).
128*o**2 + 2*o
Let y be 14/35 + (-219)/(-15). Let t(l) = y - 13 - 4 - 5 - 3*l. Let r(w) = -1. Suppose -5*m - 46 = -4*a, -4*m + 6*m - a + 16 = 0. Determine m*r(o) + t(o).
-3*o - 1
Let t(r) = 18*r - 435. Let o(d) = 2*d - 130. What is 5*o(p) - t(p)?
-8*p - 215
Let z(k) = 16*k - 1. Let a(p) = 31*p + 2185. What is a(q) - 2*z(q)?
-q + 2187
Let n(i) = -12*i**2. Let l be 5 + -8 + (-11)/(11/(-7)). Let c(d) = d**2. Calculate l*n(k) + 44*c(k).
-4*k**2
Suppose -4*g - 32 = -5*h, 0 = 2*h - 0*h - 3*g - 17. Let b(n) = -n - 5. Let y(d) = 5601. Let j(k) = -6722. Let f(l) = -5*j(l) - 6*y(l). What is h*b(x) + 5*f(x)?
-4*x
Let p(x) = x. Suppose 0 = 2*v + 3*v - 11*v - 36. Let w(h) = 5*h. Calculate v*p(f) + 6*w(f).
24*f
Let g(a) = -a + 2. Let r(u) = -10*u**2 - 2*u + 1. Let f(k) = 2*g(k) + r(k). Let d = -314 - -311. Let s(x) = 9*x**2 + 3*x - 4. What is d*f(v) - 4*s(v)?
-6*v**2 + 1
Let b be (-6 - (-21 + 3))/(-2). Suppose -6 - 4 = 2*q. Let t(a) = -8*a**3 + 8*a**2 + 4*a + 6. Let c(l) = 7*l**3 - 7*l**2 - 3*l - 5. Give b*c(k) + q*t(k).
-2*k**3 + 2*k**2 - 2*k
Let d(t) = 46*t + 80. Let n(w) = -10*w - 16. Calculate 3*d(k) + 14*n(k).
-2*k + 16
Let i be -4 + 10 + 1/(-1). Let n(m) = 3 - 4 - i + 2*m**2. Let b(z) = -4*z**2 + 13. Let w(s) = 69*s - 151. Let y be w(2). What is y*n(h) - 6*b(h)?
-2*h**2
Let b(d) be the third derivative of d**4/12 - 2*d**3/3 - 326*d**2. Let g(r) = -3*r + 5. Suppose 0 = 3*i - 8 - 1. What is i*g(k) + 4*b(k)?
-k - 1
Let z(n) = 7*n + 1. Let j(w) = 40*w + 225. Give -j(g) + 6*z(g).
2*g - 219
Let u(q) = -4*q**2 + 12*q. Let c(h) = 17*h - 48. Let g(b) = 21*b - 60. Let f(y) = 5*c(y) - 4*g(y). Determine 4*f(a) - u(a).
4*a**2 - 8*a
Let c(g) = 27*g**3 - 24*g**2 + 35*g + 77. Let u(p) = 43*p**3 - 38*p**2 + 52*p + 115. Give 8*c(n) - 5*u(n).
n**3 - 2*n**2 + 20*n + 41
Let k(j) = j + 5. Let c(s) = 8*s + 9. Give c(d) - 4*k(d).
4*d - 11
Let l(w) = -643*w - 4. Let v(b) = -216*b - 1. What is -3*l(c) + 8*v(c)?
201*c + 4
Let v(y) = 2*y**2 + 23*y + 4. Let k be v(-11). Let t(r) = -5*r. Let w(g) = -g + 1. Let n(f) = 3. Let p(u) = -n(u) + 3*w(u). What is k*p(h) + 4*t(h)?
h
Let p(w) = 29*w**3 - 3*w**2 + 89*w - 3. Let v(o) = -78*o**3 + 8*o**2 - 268*o + 8. Determine 8*p(f) + 3*v(f).
-2*f**3 - 92*f
Let d(o) = 11122*o**2 + 10*o + 70. Let l(h) = 74183741*h**2 + 66702*h + 466914. Calculate -33351*d(m) + 5*l(m).
-11117*m**2
Suppose 0 = u + 9*f - 5*f - 14, -2*u - 12 = -2*f. Let o(t) = -t**3 - 2*t**2 - 2*t + 3. Let b = -41 - -44. Let d(x) = -3*x**2 - 3*x + 4. What is b*o(g) + u*d(g)?
-3*g**3 + 1
Let b(j) = -34*j**2 + 3*j - 3. Let d(s) = -470*s**2 + 10*s - 58. Let m(p) = -155*p**2 + 2*p - 20. Let f(k) = 3*d(k) - 8*m(k). What is -28*b(q) + 6*f(q)?
-68*q**2
Let y(h) = -604*h + 5. Let b(w) = 7854*w - 66. Determine 5*b(n) + 66*y(n).
-594*n
Let m(a) = 18*a. Let q(b) be the third derivative of -b**4/24 - 3*b**2 - 952*b. Determine -m(u) + 6*q(u).
-24*u
Let o(p) be the third derivative of -13*p**6/120 + p**5/20 + 5*p**4/24 + p**3/3 - 143*p**2 - p. Let t(v) = -7*v**3 + 2*v**2 + 3*v + 1. What is -3*o(k) + 5*t(k)?
4*k**3 + k**2 - 1
Let o(t) = 106*t**2 + t - 5. Let q(g) = -532*g**2 - 5*g + 27. Give -11*o(r) - 2*q(r).
-102*r**2 - r + 1
Suppose -72*b = -154*b + 75*b - 7. Let a(f) = f - 8. Let q(v) = -v**2 + 1. Give b*a(n) - 5*q(n).
5*n**2 - n + 3
Let g(i) = -i**3 + i**2 + i - 1. Let d(s) be the first derivative of 5*s**4/2 - 2*s**3/3 + 2*s + 640. What is d(x) + 2*g(x)?
8*x**3 + 2*x
Let o(p) = -p**3 + 2*p**2 - 3*p - 8. Let m(t) = -t**3 + 2*t**2 - 2*t - 4. Determine 5*m(f) - 2*o(f).
-3*f**3 + 6*f**2 - 4*f - 4
Let k(c) = -6*c**3 + 2*c. Let g(l) = 3 - 333*l**3 + 332*l**3 - 4. Suppose 6*q - 10 - 2 = 0. Calculate q*g(b) - k(b).
4*b**3 - 2*b - 2
Let n(f) = f - 11. Suppose 61 - 40 = -3*s. Let o(c) = c - 7. Determine s*o(r) + 5*n(r).
-2*r - 6
Let w(t) = -51*t**2 + 8*t + 21. Let f(p) = 154*p**2 - 22*p - 58. What is 3*f(v) + 8*w(v)?
54*v**2 - 2*v - 6
Let p be 208/32*(-2)/(-1). Suppose -9*s = p*s + 176. Let y(a) = a + 5. Let r(x) be the first derivative of x**2 + 8*x + 1. What is s*y(i) + 5*r(i)?
2*i
Let u(z) = 300*z**3 - 4*z**2 - 18*z + 2. Let q(t) = 289*t**3 - 3*t**2 - 15*t + 1. Give 4*q(s) - 3*u(s).
256*s**3 - 6*s - 2
Let g(l) = 2*l**3 + l + 2. Let i(q) = 5*q**3 + 79*q + 6. Calculate -12*g(k) + 4*i(k).
-4*k**3 + 304*k
Let k(r) = 16*r + 16. Let t(f) = 1. Let w = 16537 - 16521. Determine w*t(m) - k(m).
-16*m
Let n(w) = -w**2 + w + 1. Let k = -71 - -74. Suppose k*i - i + 2 = 0. Let b be 3*(2 + i/(-3) + -3). Let x(g) = -3*g**2 + g + 1. Calculate b*x(h) + 2*n(h).
4*h**2
Let p(o) = -6*o - 2. Let b be 1/(-3)*(0 - 3). Let u(n) = 3*n - 6 + b - 16*n. Suppose 29 - 5 = 792*j - 780*j. Calculate j*u(t) - 5*p(t).
4*t
Let z(s) = -8*s**2 - 14*s + 22. Let b(n) = n**2 + 2*n - 4. Let f(v) = 6*b(v) + z(v). Let i(w) = -w**3 + 3*w**2 + 3*w + 3. Calculate 3*f(h) + 2*i(h).
-2*h**3
Let u(s) = 73*s**2 - 231*s. Let h(f) = 161*f**2 - 461*f. Calculate 4*h(o) - 9*u(o).
-13*o**2 + 235*o
Let i(x) be the first derivative of x**2 - 8*x + 400. Let r(y) = -3 | {
"pile_set_name": "DM Mathematics"
} |
.
-4
Evaluate (-42 - -60) + -6 + -21.
-9
Calculate 37 - 103 - -38 - (-10 - 0).
-18
What is (28 - 5) + (-2 - 3) - (12 + -11)?
17
(0 - 11) + 0 + 7 - -23
19
Evaluate 26 + ((-23 - -14) + 27 - 18).
26
Calculate -18 + (3 - -2) - -21.
8
Evaluate -4 + 0 + (101 - 92) + 1 + -19.
-13
Calculate -3 + (-2 - (-15 + 4)) - (-1 + 19).
-12
9 + (7 - (-6 - (7 + 4 - 45)))
-12
What is the value of -6 - (-6 - -57) - -30?
-27
-9 + -3 + 0 + 43 + -18 + -3
10
Evaluate 4 + (-4 - 0) + (18 - 27) + 2.
-7
Evaluate (45 - 5) + -181 + 164.
23
-6 - (-3 + (-8 - -13) + 1)
-9
(25 - (-17 - -46)) + -2 - (0 + 5)
-11
Evaluate -5 + 2 + (-10 + -2 - (27 - 63)).
21
Calculate -479 + 472 - (-24 - 1).
18
What is the value of (7 - 15 - -7 - -3) + (2 - 7)?
-3
What is (12 - 0) + 118 + -135 - -42?
37
24 - ((16 - 17) + 22)
3
What is 4 - (23 + -12 - -5)?
-12
Evaluate 5 + 11 + -7 + (11 - 5).
15
Calculate (3 - (-2 - -11)) + 14 + -29.
-21
Evaluate -19 + 53 - 23 - 10.
1
-3 + ((-2 - -4) + -18 + 9 - 2)
-12
What is -41 - (82 + -94 - (-3 - -4))?
-28
Calculate (-53 - -86) + 1 + -4 + -3 + -1.
26
Calculate -60 - (-30 - -8) - (-5 + 3 + -1).
-35
What is the value of 2 + (6 + 1 - (9 + 9)) + 29?
20
What is the value of (27 - (17 + 7)) + (-2 + -12 - -2)?
-9
Evaluate (-9 - (-26 - (9 - 23))) + 24.
27
Calculate 929 + -901 - (37 + -1).
-8
What is the value of 17 + -18 + 23 - 16?
6
What is the value of 152 + -164 - (1 + 0)?
-13
What is 4 + 1 + 0 - (-8 - (46 - 72))?
-13
What is the value of -5 + 6 - (-6 - -3) - (3 + -3)?
4
Calculate 2 + -12 + (-10 + 35 - 16).
-1
8 + (0 + 4 - 8) + 5
9
What is the value of 14 - (-33 + (33 - -15))?
-1
What is 1 + ((-9 - -15) + 7 - -10)?
24
Calculate 1 + -1 + -6 + -1 + -15 + 2.
-20
Evaluate (-4 - (-1 + 3)) + 0 + (3 - -17).
14
48 + -8 - (17 - -3)
20
What is the value of -6 + -12 + 30 + -19?
-7
Calculate -6 + (2 - -9) - 33.
-28
-5 + 0 + -3 - (8 + 2 + 0)
-18
What is (2 - 0) + -6 + 8 + (-34 - -40)?
10
What is -8 + (3 + -4 + 2 + 1 - 1)?
-7
What is -20 + (295 + -303 - (0 - 3))?
-25
What is the value of 1 - 9 - (0 - -4) - -23 - -9?
20
What is the value of -10 - 2 - (-68 + 49)?
7
-2 + 36 + 22 + -29 + (0 - -2)
29
Calculate 41 + 25 + (44 - 126).
-16
What is (-16 + 7 - -3 - (-3 - 30)) + -3?
24
Calculate 72 - 80 - (-16 - (2 - 2)).
8
What is the value of -50 - -46 - (2 + -16)?
10
What is -25 + (20 - 22) - -31?
4
Calculate 26 - (-37 + 22) - 24.
17
Evaluate -11 + 31 + -5 + -5 + 0.
10
What is (3135 - 3127) + (-12 - ((-2 - -1) + 0))?
-3
Calculate 52 + -52 - (2 + (3 - -2)).
-7
Calculate 23 - (62 - 21) - -18.
0
-9 + 8 + 7 - (6 + -5)
5
What is 1 - 3 - (6 + 12 + -7)?
-13
(5 + 1 - -8) + 69 + -50
33
Calculate 30 + (-21 - (11 + -4 - 17)).
19
What is -4 + 7 - (-12 + 4 + 17)?
-6
-14 - -16 - 15 - -16
3
Evaluate -29 + (-67 - -95) - (0 + 0 + -3).
2
Evaluate 247 + -224 + (1 - 12).
12
What is 3 + 0 + -20 + 6 - -27?
16
What is 817 - 856 - (-1 - 24)?
-14
What is the value of 1079 + -1087 + (0 - 15)?
-23
Evaluate 0 + 35 + (-951 - -951).
35
(11 + -6 - 12) + -2 - -30
21
Calculate -4 + -21 + -11 + 25.
-11
19 + 53 + -38 - (-1 - -18)
17
Calculate 6 - (-6 - -7 - -4 - 12).
13
Calculate -5 - ((3 - 4) + -7 + -2).
5
Evaluate -11 + -8 + -22 + 52 - 6.
5
12 + 26 + 22 + -40
20
What is the value of -5 + 4 - -17 - (1 + 6 + -1)?
10
What is the value of 1 - 3 - -34 - (-27 - -40)?
19
Calculate -9 - (-1 + (0 - 13) + 6).
-1
15 - (39 - (0 + 12))
-12
Evaluate -8 - (15 - (-6 + 1 + 11)).
-17
What is the value of (-36 - (-3 - 21)) + 10 + 0?
-2
Evaluate -26 + 46 - (7 - -1).
12
What is 26 + (1 - (-1 + 2)) - (-1570 + 1576)?
20
Evaluate 0 + -21 - (-5 + (13 - 9)).
-20
What is -11 - (-22 + 28 + -31)?
14
Evaluate 8 + 3 - (-47 + (41 - 22)).
39
Evaluate -11 + (16 - 3) - (2 - (-3 + 3)).
0
Evaluate 25 - (6 + 20 - 13).
12
What is (6 - (19 - 1)) + 12?
0
Evaluate 3 - (5 + (-1 - -7 - (0 - -4))).
-4
Evaluate (-8 - (20 - 34)) + 1 + 5.
12
Evaluate (-4 - 6) + -8 - -27.
9
8 + -7 + -6 + (9 - 3) + -3
-2
(-519 + 526 - (-13 + 0)) + 7
27
Calculate (9 - (18 - 10)) + -1.
0
Calculate (21 + -28 - (-6 - -3)) + (1 - 4).
-7
Calculate 22 - (-14 + -8 - -58).
-14
What is 25 - (-12 - (-33 - -25))?
29
What is 3 + -18 - (4 + (2 - 6 - 6))?
-9
Calculate (2 - (-4 - -9)) + (1 - -1 - -6).
5
Evaluate 3 - (3 + 2 - (2 + 6 + -8)).
-2
What is the value of (2 - 3 - 2) + (5 + 4 - 0)?
6
Evaluate (6 - 7) + 12 - 23.
-12
What is 4 + (10 - 13) - 0 - -8?
9
(-11 + 23 - 17) + -15 + 7
-13
What is 6 - (-5 - 0) - 14 - (12 + -1)?
-14
What is the value of -10 - (-21 + 12 + -3 + -4)?
6
What is the value of (8 - 3) + 1 + -11 + -2?
-7
Evaluate 53 + -3 - 63 - (2 - 41).
26
What is the value of (29 - 36) + -29 + 21?
-15
What is the value of -13 - 0 - (-31 + (40 - 9))?
-13
What is 3 + 0 - (-7 + 7) - 9?
-6
Evaluate -8 + 2 + (15 - (15 + -6)).
0
What is the value of -5 - -28 - (34 + -21)?
10
Evaluate -27 + 17 + -31 - -5.
-36
Evaluate (172 - 175) + 4 + -21 + -4.
-24
11 + -20 + -11 + 2
-18
What is the value of -25 - (-7 - -2) - -13?
-7
Calculate 11 + (-1 - 5) - (-184 - -203).
-14
What is (-4 - 1 - 1) + 1 + -1 - 6?
-12
-1294 - -1284 - (-2 + 6 + 1 - 0)
-15
-41 - (3 + -41 + 23)
-26
What is the value of (-25 - -26 - 42) + 10?
-31
Calculate -8 + -27 + (6 - (-2 + 4)).
-31
Evaluate (392 - 395) + 0 + -5 - (-43 + 2).
33
What is the value of 14 + (11 - 24) + -11?
-10
2 + -10 + (-19 - (3 + -5)) + 4
-21
What is the value of -6 + -6 + -2 + 10?
-4
What is the value of 2 + -1 + (12 - 30)?
-17
(34 - 36) + -3 + (3 - 2 - -5)
1
(-47 - -57) + (3 - 0 - -4)
17
Evaluate (0 - 2) + (14 - (-15 - -33)).
-6
Evaluate 0 + (-1 + -5 - (-2 + -2) - -13).
11
What is -8 + 1 + 52 + (-14 - -9) + -11?
29
What is the value of 14 + (-6 + (2 - -1) - 9)?
2
Calculate -2 - (-5 - 1) - (-40 + -3 + 38).
9
What is (6 - (-3 + -3 + 4)) + 2 + -20?
-10
-2 + ((-5 - -1) + 2 + -2 - 1)
-7
What is -21 + (7 - (17 + -8 + 8) - -5)?
-26
What is -19 + (4 - (8 + -10))?
-13
What is -17 - (-8 + -25) - 17?
-1
-42 + 16 + 5 - -34
13
Calculate 46 - 23 - (56 - 3).
-30
What is the value of -8 + 1 + 3 + -4 - (-28 + 21)?
-1
Evaluate -28 - (-3 + (1 - 7)).
-19
Evaluate 8 - (-4 - -5) - (0 - (0 + -11)).
-4
Evaluate -6 - ((-10 + 0 - -20) + -7) - -23.
14
Calculate 1 - 2 - (-13 + 5 + (62 - 39)).
-16
What is the value of -23 + 11 - -13 - -9?
10
What is (-54 - (-57 + 16)) + 44 + -1?
30
Evaluate 18 - (7 - (33 + -19 - 13)).
12
Evaluate 3 + -25 - -25 - (0 + 9) - 8.
-14
-15 + 7 + -1 - (-24 - -12)
3
What is the value of -7 + 17 + 4 + 0 + -3 + 2?
13
(0 - (13 - 10)) + 1 + -4 + 4
-2
What is -20 + (23 - -8) + -2?
9
Evaluate 2 + -8 + 0 + -7.
-13
What is (1 - 1) + (-21 - -26 - 14)?
-9
-7 + (14 + -2 - (4 - 3)) - 34
-30
What is 34 - 8 - 9 - 2?
15
What is the value of (1 + -2 - (17 + -14 - -3)) + -1?
-8
10 - (-7 + (8 - (13 + -7 + -8)))
7
Calculate (-45 - -50) + -2 + (2 - (7 - 2)).
0
Evaluate 0 - 2 - (-12 + 7 + -9).
12
4 + 4 - (12 + -1)
-3
What is 8 + 7 + -16 + -6 + -8 + -1?
-16
-8 + 24 + -3 - -10
23
Calculate -4 + -7 - (11 - 9 - 10) - 3.
-6
Calculate 16 - (1 - (-12 - (-22 + 1))).
24
Calculate (-6 + 16 - 3) + -17 + 1.
-9
What is the value of (-12 + -1 + -5 + 12 - -6) + 9?
9
Calculate 7 + -15 + 6 - (-4 + 3 + 7).
-8
Evaluate 32 - (11 - -24) - -3.
0
What is the value of -25 + -9 - -21 - -13?
0
Calculate 4 + -23 - (11 - (1 + 9)).
-20
What is -4 - ((4 - -5) + -6 + -3 + -42)?
38
What is the value of -2 + -2 + 5 + -7 + 9 + 1?
4
Evaluate 12 + -14 + (2 + -3 - -3).
0
What is the value of -2 - -2 - (-11 + (24 - 9))?
-4
What is the value of (-16 - (0 + -3 - -5)) + 160 + -157?
-15
18 + 3 + -37 - -11
-5
Evaluate (13 - 12) + -79 + 57.
-21
Calculate 7 + -19 + (-5 - -5).
-12
-2 + 19 - (-2 + 2 + 8)
9
15 + -36 - (-53 + 10)
22
2 - 6 - (-15 + (15 - 0 - 7))
3
Evaluate -2 - 2 - (-69 - -78).
-13
-103 - -113 - (17 - -1)
-8
What is the value of 8 - -2 - (-7 - (30 - 43))?
4
Calculate 49 - (-21 - (-57 + -1)).
12
What is 31 - (38 - (13 + 6))?
12
Calculate (-10 + 24 - 8) + -25 - -7 - -14.
2
What is the value of 32 + (16 + -57 - 15)?
-24
Calculate 9 - (-6 - (-17 - -8)) - (1 + 11).
-6
Evaluate (-16 - (7 + -19)) + (-2 - -23) + -2.
15
What is 7 + (4 - 14) + -4?
-7
What is the value of -22 + -6 + 1 + -1 + 200 + -186?
-14
-1 + -2 + (-16 - (21 + -17))
-23
Calculate -62 - -51 - (1 + -13).
1
Calculate -78 + 82 + 5 + -29.
-20
What is -7 + 18 - ((-27 - -10) + 4 - -4)?
20
Calculate -29 + 11 + 4 + 3 + -14.
-25
What is the value of -4 + 19 - (7 - (-3 + 2))?
| {
"pile_set_name": "DM Mathematics"
} |
9 + 1. Determine c*y(l) - 4*d(l).
-l**2 - l + 2
Let h(s) = -8*s**3 - 5*s**2 + 6*s - 1. Let b(l) = 17*l**3 - 6*l + 3*l**2 - 16*l**3 - 2*l**2 + 5*l. Determine 6*b(m) + h(m).
-2*m**3 + m**2 - 1
Let a(v) = 3*v**2 + 3*v + 2. Let z(g) = 13*g**2 + 12*g + 7. Give -9*a(c) + 2*z(c).
-c**2 - 3*c - 4
Let h(r) = 3*r**3 - 7*r**2 + 3*r - 13. Let t(l) = 2*l**3 - 5*l**2 + 2*l - 9. Suppose -2*m + 5*d = -10, -m + 0*m - 5*d = -5. What is m*h(s) - 7*t(s)?
s**3 + s - 2
Let u(z) = 3*z**3 - 2*z**2 + 4*z. Let v(i) = -2*i**3 + 2*i**2 - 3*i. Suppose -4*q + 9 = -3. What is q*u(w) + 4*v(w)?
w**3 + 2*w**2
Let w(c) = 3*c**3 - 4*c**2 - 6*c - 6. Let k be (-1)/((1 - (-8)/(-4))/(-11)). Let g(j) = 3*j**2 - 8*j**3 + 8 + 8*j**2 + 17*j + 9. Give k*w(a) - 4*g(a).
-a**3 - 2*a - 2
Let g(z) = -z + 1. Let p(j) = j - 5. Let i be 5/((-15)/(-9)) - (4 - -2). What is i*g(v) - p(v)?
2*v + 2
Let y(i) = i**2 + 1. Let c(z) = 5*z**2 + z + 1. What is -c(o) + 4*y(o)?
-o**2 - o + 3
Let t(g) = g**2 - g - 1. Let n(x) = -8*x**2 + 7*x + 8. Suppose -4*w - 5*d = -0*w + 31, 2*d - 24 = w. Determine w*t(s) - 2*n(s).
2*s**2 - 2
Let j(f) = -f + 2. Let h(d) = -5*d + 9. Let r(q) = -2*h(q) + 9*j(q). Let w(k) = k - 1. Give -r(l) - w(l).
-2*l + 1
Let u(t) = 8*t**2 + 5*t + 1. Let q(b) be the first derivative of 3*b**3 + 3*b**2 + b - 14. Give 6*q(i) - 7*u(i).
-2*i**2 + i - 1
Let q(m) = m**2 + m. Let o = -3 + 7. Let b(t) = 2*t**3 - 4*t**2 - 4*t. Let i = -4 - -8. Suppose -4 = i*n - 4*f - 20, 4*n + 2*f = -2. What is n*b(g) + o*q(g)?
2*g**3
Let f(v) = -161*v**2 - 49*v. Let w(c) = c**2 - 2. Let s(z) = -6*z**2 - 3*z - 8. Let q(i) = -s(i) + 4*w(i). Calculate -3*f(p) - 49*q(p).
-7*p**2
Let x(r) be the first derivative of -r**2 + 4*r - 2*r - 4*r + 1. Let l be (16/20)/(1/5). Let n(a) = a. What is l*n(i) + x(i)?
2*i - 2
Let t(a) = -a + 1. Let s(l) = 2*l - 2. Let h = -8 - -11. Calculate h*s(f) + 8*t(f).
-2*f + 2
Suppose 12 + 23 = 5*m. Let s(r) = -5*r + 2. Let c(b) = 6*b - 2. Calculate m*s(p) + 6*c(p).
p + 2
Let r(l) = -5*l**3 - 2*l. Let d(c) = -24*c**3 - 11*c - 1. Calculate 2*d(x) - 11*r(x).
7*x**3 - 2
Let s(i) = -3*i**2 + 3*i. Let o(p) = 10*p**2 - 10*p. Let z = 3 - 5. Determine z*o(c) - 7*s(c).
c**2 - c
Let g(k) = -4*k**2 - 5. Let w(n) = -n**3 + 4*n**2 + 3*n + 5. Let r be w(5). Let u(z) = 12*z**2 + 16. Calculate r*u(l) - 16*g(l).
4*l**2
Let g(p) = -p - 1 - 3 + 3 + 5. Let n(a) = 1. Determine g(w) - 6*n(w).
-w - 2
Let f(d) = 21*d**3 - 12*d**2 - 12. Let b(o) = -o**3 + o**2 + 1. Calculate -12*b(t) - f(t).
-9*t**3
Let j(z) = 28*z + 8. Let r(q) = q + 1. Calculate j(g) - 10*r(g).
18*g - 2
Let p(j) = -j - 1. Let d(u) = u + 4. Let m(o) = -o - 3. Let n(f) = -5*d(f) - 7*m(f). What is -3*n(w) - 4*p(w)?
-2*w + 1
Let d(g) = 6*g**2 + 14*g - 14. Let a(t) = -t**2 - 3*t + 3. Determine 14*a(q) + 3*d(q).
4*q**2
Let i(f) = -3*f**2 - 4*f + 2. Let h = -31 + 29. Let p(z) = z**2 + z - 1. Calculate h*p(w) - i(w).
w**2 + 2*w
Let i(g) = -132*g**2. Let p(x) = 19*x**2. Give 5*i(u) + 36*p(u).
24*u**2
Let u(f) = -2*f + 2. Suppose -5*m + 40 = -5*y, -2*y = -2*m + 4*m. Let o(s) = 0 + 3 - 5*s + 2*s. Determine m*u(x) - 3*o(x).
x - 1
Let w(g) = g**2 + g + 1. Let k(l) = -7*l**2 - 4*l - 10. Calculate k(n) + 5*w(n).
-2*n**2 + n - 5
Let u(g) = g - 1. Let p be 2/((6 - 2) + -3). Let y = 6 - p. Let w(n) = 5*n - 4. Determine y*u(v) - w(v).
-v
Let b(s) = 3*s + 1. Let j(f) = 3*f. What is 2*b(i) - 3*j(i)?
-3*i + 2
Let p(b) = -1. Let t(o) = -o - 5. Let m be t(-3). Let u(l) be the third derivative of 0 - l**3 + 0*l + l**2 - 1/24*l**4. What is m*u(q) + 11*p(q)?
2*q + 1
Let w(t) = t**3 - 5*t**2 - 5*t - 4. Let f(j) = -j**3 + 6*j**2 + 5*j + 5. What is 5*f(o) + 6*w(o)?
o**3 - 5*o + 1
Let m(x) = 2*x**2 + 9*x + 1. Let c(g) = g - 1. What is -2*c(y) - m(y)?
-2*y**2 - 11*y + 1
Let l(v) = -2. Let d(p) = -p**2 + 4*p - 6. Let h(z) = 5*z**2 + 11 + 0*z - 3*z**2 - 7*z. Let q(r) = -7*d(r) - 4*h(r). What is -3*l(w) + 2*q(w)?
-2*w**2 + 2
Let w = 0 - -2. Let o(n) be the third derivative of n**5/60 + n**2. Let v(m) be the first derivative of -m**4/4 - 2*m**3/3 + m**2/2 - 7. Give w*v(g) + 3*o(g).
-2*g**3 - g**2 + 2*g
Let a(h) = h**2 - 7. Let z be (6/(-36)*3)/(3/12). Suppose 0 = 2*p - 3*n - 23, -2*p + 2*n + 13 = -5. Let i(q) = -4 + 1 + p. Give z*a(y) - 14*i(y).
-2*y**2
Let n(k) = k**2 + 2*k + 3. Let h be n(-3). Suppose 15 = h*y - y. Let s(x) = x**2 + x**3 + 0*x**2 + 0*x**y. Let j(f) = f**3 + f**2 - 1. What is 2*j(i) - s(i)?
i**3 + i**2 - 2
Let x(j) = -4*j - 3. Let g be x(-2). Let d(b) = -4*b**3 - g*b + 0*b - 6*b**2 + b**2. Let r(z) = -z**3 - z**2 - z. Calculate -d(w) + 3*r(w).
w**3 + 2*w**2 + 2*w
Let v be -4*1*(-7)/4. Let y = v - 1. Let k(a) = a - 4. Let c(j) = j - 5. Give y*k(w) - 5*c(w).
w + 1
Let o(i) be the first derivative of i**2 + 11. Let w(x) = 4*x. Determine -7*o(g) + 3*w(g).
-2*g
Let f(j) = 3*j**2 + 7*j**3 - j + 2*j**3 - 7*j**3. Let n(h) = 4*h**3 + 7*h**2 - 2*h. Calculate -5*f(x) + 2*n(x).
-2*x**3 - x**2 + x
Let c(j) = j**3 - j. Let z(a) be the second derivative of a**5/4 + a**4/12 - 7*a**3/6 - 7*a. What is -6*c(k) + z(k)?
-k**3 + k**2 - k
Let z be 4/(-10) - 6/10. Let a(g) = -g**2 - g. Let m(f) = 5*f**2 + 3*f + 1. Suppose -7*o = -7 + 28. What is o*a(c) + z*m(c)?
-2*c**2 - 1
Let x(b) = 4*b**3 + 11*b**2 + 6*b. Let j(o) = o**3 + o**2 + o. Let d(c) = 6*j(c) - x(c). Let p(s) = -s**3 + 2*s**2. What is 2*d(u) + 5*p(u)?
-u**3
Let m(q) = 4*q - 4. Let s(d) = -3*d**2 + 7*d + 3. Let v(n) = 2*n**2 - 4*n - 2. Let y(l) = 3*s(l) + 5*v(l). Give m(p) - 4*y(p).
-4*p**2
Let m(y) = -y**2 + y + 1. Let i(r) = r**2 + 19 - 7 + 2*r + r - 9. Determine -i(z) + 3*m(z).
-4*z**2
Let v(p) = 2*p - 14. Let i(w) = -3*w + 15. Determine 4*i(b) + 5*v(b).
-2*b - 10
Let u(i) = -5*i**2 - 8*i + 8. Suppose 8 = -z + 3*z. Let j(t) = 2*t**2 + 3*t - 3. Suppose 0 = 5*d - 11*d + 66. Determine d*j(o) + z*u(o).
2*o**2 + o - 1
Let v(n) be the second derivative of 5*n**4/12 - 11*n**3/6 - 9*n**2/2 - 205*n. Let u(t) = -4*t + 8*t - 2*t**2 + 3 + 0. Give -11*u(y) - 4*v(y).
2*y**2 + 3
Let k(w) = w + 1. Let a(g) be the second derivative of -g + 0 + 2*g**2 + 1/3*g**3 - 1/12*g**4. Determine -a(j) + 4*k(j).
j**2 + 2*j
Let w(a) = -6*a - 2. Let c(l) = l + 1. Calculate -3*c(k) - w(k).
3*k - 1
Let c(r) = 2*r**2 + 5*r - 1. Let l(a) = -3*a**2 - 6*a + 1. Calculate -4*c(i) - 3*l(i).
i**2 - 2*i + 1
Let w(v) = v**3 + v - 3. Let x(z) = -5*z**3 - 4*z + 12. Calculate -9*w(o) - 2*x(o).
o**3 - o + 3
Let h(o) = o**3 + 3*o**2 + o - 1. Let b(k) = 2*k**3 + 7*k**2 + 3*k - 2. Suppose 29 = -3*x + 2*c + 2, -3*c = -5*x - 45. Let g = x + 12. Give g*b(m) - 7*h(m).
-m**3 + 2*m + 1
Let n be (-2)/3 + (-123)/(-9). Suppose h + 2 - n = -g, -3*g + 13 = -h. Let c(u) = -u + 0*u + 0*u. Let f(m) = -3*m. Calculate g*f(w) - 17*c(w).
-w
Let x(o) = o + 1. Let h(y) = -70*y - 84. What is h(j) + 84*x(j)?
14*j
Let s be (1 + -2)*-1 + 3. Let g = 10 - 17. Let t(k) = 5*k**2 + 7*k - 9. Let m(c) = 3*c**2 + 6*c - 6 - 2*c + 1. What is g*m(x) + s*t(x)?
-x**2 - 1
Let k(h) be the first derivative of 9 + 2*h - 8 - h. Let y(f) = f**2 - 9*f + 3. Let s be y(8). Let i(m) = -m**2 - m + 2. Calculate s*k(b) + 2*i(b).
-2*b**2 - 2*b - 1
Let c = -14 - -7. Let p(r) = 2*r + 5. Let b(h) = -2*h + 11 - 11 - 6. Give c*p(q) - 6*b(q).
-2*q + 1
Let q(s) = 2*s**3 - 6*s**2. Suppose 7 = -3*j + 25. Let x(g) = 6*g**3 - 15*g**2 + 2. Let w(l) = -l**2 - 1. Let v(t) = -2*w(t) - x(t). Calculate j*v(p) + 17*q(p).
-2*p**3
Let n(h) = h. Let y(s) be the second derivative of -s**3/6 - 26*s. Calculate n(w) + 4*y(w).
-3*w
Suppose 4 = -8*h + 4*h. Let s(v) = v**3 + v**2 + v + 1. Let a(x) = -4*x**3 - 5*x**2 - 3*x - 3. Give h*a(p) - 3*s(p).
p**3 + 2*p**2
Let z(t) = t**2 + t - 1. Suppose -3*y - 5 = -2. Let a = -21 + y. Let l(j) = 12*j**2 + 11*j - 11. Let d be 0/(-1) - 4/(-2). What is a*z(o) + d*l(o)?
2*o**2
Let y(a) = -46*a**2 + 3*a - 2. Let v(j) = -46*j**2 + 2*j - 1. Calculate -3*v(p) + 2*y(p).
46*p**2 - 1
Let j(k) = 17*k**2 - 5*k - 4. Let l(w) = -18*w**2 + 6*w + 5. Determine 5*j(r) + 4*l(r).
13*r**2 - r
Let j(y) = -4*y**3 - 2*y + 1. Let i(c) = c**3 + c. Calculate -6*i(u) - 3*j(u).
6*u**3 - 3
Let o(l) = -8*l**2 - 9*l + 11*l**3 + 17*l - 16*l - 2. Let n(p) = 7*p**3 - 5*p**2 - 5*p - 1. Give 8*n(y) - 5*o(y).
y**3 + 2
Let b(d) = d - 5. Let n be b(5). Let f = 3 + n. Let y(l) = l**2 + l**2 + l**f + 0 + 1 - 2*l. Let c(p) = -p**3 - p**2 + p - 1. What | {
"pile_set_name": "DM Mathematics"
} |
- 20, -w = 5*i - 219. Does 12 divide i?
False
Let a(y) = y**3 + 12*y**2 + 13*y + 6. Does 3 divide a(-10)?
False
Let r = 101 - 77. Suppose -2*h + r = -60. Is 3 a factor of h?
True
Let o(l) = 2 + 3 - 20 + 2*l. Let z be o(10). Let n(s) = 9*s. Is 20 a factor of n(z)?
False
Let c = 48 + 133. Let u = c - 61. Suppose 4*t - u + 16 = 0. Is 6 a factor of t?
False
Suppose -30 = -2*d + 5*d. Is (-3 + 2)*d - 2 even?
True
Let j(c) = c**3 + 10*c**2 + c + 16. Let b be j(-10). Suppose -b*a + 144 = -0*a. Is a a multiple of 4?
True
Let a = 349 - -2106. Is 90 a factor of a?
False
Suppose -j + 54 = -d - 456, -1024 = -2*j - 2*d. Is 39 a factor of j?
False
Let p = 323 + -263. Is p a multiple of 17?
False
Let c be ((-12)/(-14))/(4/14). Suppose -5*y + n + 129 = 2*n, 0 = y + n - 29. Suppose 1 = -c*d + y. Is d a multiple of 8?
True
Is 9 a factor of 246 + 15 + -7 + 7?
True
Is -7 - -154 - (0 + 2 + -3) a multiple of 23?
False
Suppose -p = -2*c + 1988, p + 20 = 6*p. Does 12 divide c?
True
Suppose -3*y + 76 = -7*y. Let m = y - -21. Suppose 88 = v + 4*s, s = -m*v - 2*s + 156. Is 24 a factor of v?
True
Let m = -1228 - -1425. Does 6 divide m?
False
Suppose 832 = 4*b - 328. Is 39 a factor of b?
False
Let r = -10 - -12. Suppose 2*k + r + 12 = 2*p, 2*p - 3*k = 19. Suppose -2*a + 9 = -a - p*l, 3*a - 23 = 2*l. Does 3 divide a?
False
Let d(j) = 2*j - 13. Let y be d(9). Does 8 divide (-50)/(-5) + y + -7?
True
Suppose 6*v - 795 - 3189 = 0. Suppose -3*p = -5 - 7, -3*f - p + v = 0. Does 13 divide f?
False
Suppose 0 = -2*y + z + 3708, 3*y + 13*z = 14*z + 5561. Does 109 divide y?
True
Let r = 580 + -297. Is 8 a factor of r?
False
Let o(j) = j**2 - 4*j + 1. Let x be o(4). Let h be (136/(1 + x))/1. Let a = h + -28. Is 10 a factor of a?
True
Suppose 2*v - 2*x - 598 = 3*x, v + 4*x = 325. Suppose 3*h + i = -v, 0 = h + 2*i + 29 + 79. Let p = -48 - h. Is 10 a factor of p?
False
Does 23 divide (1 - (-8)/(-2)) + 414?
False
Suppose 0 = 3*v - c - 15, -5*v - 2*c = 3*c - 25. Suppose -4*z + 36 = 3*p + 2*p, v*z - 20 = 0. Suppose 26 + p = 5*u. Does 3 divide u?
True
Let i(f) = 7*f**3 + 17*f**2 - 30*f - 10. Let k(z) = 6*z**3 + 16*z**2 - 29*z - 10. Let u(r) = 5*i(r) - 6*k(r). Is u(-13) a multiple of 8?
False
Let a be (0 - -4)*(-12)/(-16). Let g be (2/(-2))/(4/(-664)). Suppose a*y - y = g. Is 27 a factor of y?
False
Let u = -1735 - -3121. Is u a multiple of 63?
True
Let z(p) = -2*p - 13. Let x = 21 - 21. Suppose 2*a + x*a + 34 = 0. Does 10 divide z(a)?
False
Suppose -3*b = 18*b - 21588. Is 36 a factor of b?
False
Suppose -3*p = a - 14, 2*a = -p + 4 + 9. Suppose 750 = -a*b - 0*b. Let y = -100 - b. Is y a multiple of 25?
True
Suppose -66*f + 72*f - 4176 = 0. Is f a multiple of 24?
True
Let n(v) = v**2 + 3*v + 6. Let s be ((-4)/(-6))/(2/6). Suppose 0 = -2*q + 4*z - 6, 0 = s*q - 2*z + 12 - 2. Is n(q) a multiple of 12?
False
Let s = -4699 - -8534. Is s a multiple of 13?
True
Let q be 9/(-12)*11*32/(-12). Let x = 92 - q. Is 14 a factor of x?
True
Let c be -3*(2 - (-21)/(-9)). Let z be 1 + 1 + c + -1. Suppose 212 = 5*t + z. Is t a multiple of 21?
True
Suppose -6*s + 15 = -s. Suppose -s*r - 4 = -d, 0*d + 20 = 2*r + 5*d. Suppose -j - 3 = -2*x + 2, -j + 4*x - 13 = r. Is 2 a factor of j?
False
Let r(k) = 26*k - 4. Let o be r(-1). Let u = o - -75. Does 9 divide u?
True
Let b = 1188 - 689. Is 16 a factor of b?
False
Suppose 3*h - 286 + 34 = 0. Suppose -r - 2*r = 0. Suppose -11 = -2*z + m + h, r = z + 5*m - 20. Is z a multiple of 16?
False
Let r(a) = -13*a**3 + 23*a**2 + 17*a - 41. Let m(u) = 7*u**3 - 12*u**2 - 9*u + 21. Let d(z) = 11*m(z) + 6*r(z). Does 2 divide d(6)?
False
Let l = 6 - 22. Let q = l - -16. Suppose -5*u + 150 = 4*h + h, q = 5*h - 2*u - 178. Does 18 divide h?
False
Is 5/(-3) + (-9 - 74410/(-15)) a multiple of 45?
True
Suppose -23*a - 13*a = -10476. Is a a multiple of 75?
False
Is -1 + -4 - (-1308 - -1) a multiple of 14?
True
Suppose -5*v - 23 = -v - 3*u, 4*v - 2*u + 18 = 0. Let h be (v/2)/(1/6). Is 19 a factor of h + 61 - (-1 - 2)?
False
Suppose 0 = c - 2*s - 2, -3*c - 11 = -6*c + s. Suppose d + c*q - 208 = 3*d, -347 = 3*d + q. Let k = -62 - d. Does 13 divide k?
True
Suppose 7*s + 5 = 2*s. Let b(t) = -6*t**3 + t**2 - 1. Let i be b(s). Suppose i*f - 224 + 8 = 0. Is f a multiple of 8?
False
Suppose -89*m + 119*m - 27360 = 0. Is m a multiple of 16?
True
Let t be (-1)/(93/48 + -2). Suppose -2*b + 2 - t = 0. Let x = 16 + b. Is 5 a factor of x?
False
Suppose -4*k = -2*k - 10. Suppose 4*j + 34 = -5*b + k*j, 0 = 5*b - 4*j + 31. Is 10 a factor of (-173)/b - 2/(-7)?
False
Is 23 a factor of -1 + 14928/27 + 6/54?
True
Suppose 12*n - 31339 = n. Does 16 divide n?
False
Let r = -4 - -54. Suppose n + 10 = 2*n + 3*a, 5*n + a = r. Is n a multiple of 8?
False
Suppose 8*l + 15 = 3*l. Let z(i) = i**2 - 5*i - 7. Let q be z(5). Let u = l - q. Is u even?
True
Let f(v) = 4 + 5*v - 5 - 1. Is f(1) a multiple of 3?
True
Let t = 1428 + -910. Does 9 divide t?
False
Let x(i) = -i + 2. Let c be x(-1). Suppose -710 = -c*l - 7*l. Is 39 a factor of l?
False
Let t(p) = p**3 - 8*p**2 + 6*p + 10. Let m = 12 + -11. Suppose -5*r + m = 2*v - 18, 5*r = -5*v + 40. Is 2 a factor of t(v)?
False
Let d(x) = 153*x + 155. Is 134 a factor of d(13)?
True
Let b be 1*2/(-4)*0. Let a(k) = -4*k**3 - 5*k**2 + 3*k - 6. Let g(n) = -9*n**3 - 11*n**2 + 7*n - 11. Let d(o) = -7*a(o) + 3*g(o). Does 4 divide d(b)?
False
Let a be (-9)/12 - 86/(-8). Let q be (-12)/60 + (-28)/a. Is 2 + 1 + q + 45 a multiple of 15?
True
Does 44 divide 8 + (-30)/5 - (-344)/4?
True
Suppose 3*z - 15 + 0 = 0. Let o be 5/((-5)/(-2)) + 31. Suppose z*u = 57 + o. Is u a multiple of 6?
True
Suppose 3*s - 6 = 3*r, -5*r + 0*s = -4*s + 6. Is 12 a factor of -14*(r - 1)*54/(-18)?
False
Let h(o) = 10*o**2 - 2*o. Let l be 1/2*(-16)/(-2). Suppose 3*y + l = 5*y. Does 25 divide h(y)?
False
Let x be -6*6/9*-14. Suppose 13*c - 11*c = x. Does 8 divide c?
False
Let d = 15 + -14. Is ((-2)/d)/((-4)/78) - -3 a multiple of 14?
True
Suppose 2 - 1 = -2*r - 3*p, 5*r - 2*p = -12. Is 20 a factor of 12/2 + r + (-327)/(-3)?
False
Let t = -869 + 240. Let m be 9/45 - t/5. Suppose 4*u = 2*u + m. Does 21 divide u?
True
Let z be 1 - 1 - 1785/7. Let v be 1/(-4) - z/60. Suppose -3*a + 56 = a + 3*n, 4*n - 56 = -v*a. Is 6 a factor of a?
False
Let f = 9 + 12. Let y be (-160)/(-28) - (-6)/f. Is 14 a factor of (21/2)/(y/16)?
True
Let v be (18/15)/(2/(-60)). Suppose k = 3*t + 59, 17 + 239 = 4*k - 2*t. Let q = v + k. Is q a multiple of 10?
False
Let g = -8 - -10. Suppose -g*o + 228 = o. Let u = o - -49. Is u a multiple of 32?
False
Let c = -8 - -9. Does 7 divide (-77)/(-44)*16/c?
True
Let b be (7/7)/(1/5). Suppose 7*o = 6*o + b. Is 336/o - 2/10 a multiple of 18?
False
Let z be (-3)/(18/15 + -1). Let d = -13 - z. Suppose h = 5*h + f - 146, d*h = -5*f + 82. Is 12 a factor of h?
True
Let v(b) = -b**3 - 5*b**2 - 20*b - 52. Let t be v(-5). Let j be (0/(-1))/(-1 - 0). Is 4 a factor of j - t/(6/(-2))?
True
Suppose m + 2*d - 1385 = -3*d, -2*d = 2*m - 2778. Is m a multiple of 13?
False
Let l(o) be the second derivative of -o**5/10 - 2*o**4/3 - 2*o**3/3 + 21*o**2/2 + 2*o + 24. Is l(-6) a multiple of 27?
True
Let h(g) = g**3 - 13*g**2 - 15*g + 14. Let k be h(14). Suppose 4*y + k = -60. Let w(p) = -p**2 - 16*p - 1. Is w(y) a multiple of 14?
True
Suppose 55*m = -107812 + 384902. Is 89 a factor of m?
False
Let d(c) = c**2 - 5*c - 2. Let a be d(6). Suppose -a*l + 24 = -56. Is 5 a factor of 6/4*l/3?
True
Let s(w) = 4*w**3 - 1. Let t be s(2). Suppose 5*i - 2*y - 125 = 2*y, i = 2*y + t. Is 3 a factor of i?
True
Suppose -208 = 5*x - 13*x. Suppose x = t - 27. Is t even?
False
Suppose 3*y - 3*g - 27 = -231, -4*g - 8 = 0. Let o be (y/21)/((-1)/(-9)). Let m = -1 - o. Does 24 divide m?
False
Let f = 16 + 46. Is f a multiple of 5?
False
Suppose -1857 = -6*b + 3471. Does 70 divide b?
False
Let m = -9 + 12. Suppose -3*i + i + 13 = m*o, 4 = 4*o - 4*i. Is 5/20*204/o a multiple of 12?
False
Let c(x) = 4*x**3 + 2*x + 1. Suppose -11 = 3*d + 2*z - 0, 11 = 5*d - 4*z. Let y be c(d). Is 3 a factor of (-2)/y - 212/(-20)?
False
Suppose -2*f = -3*f + 4. Suppose f*x - 49 = 3*j, 3*x - 33 = 3*j - 0*j. Is (204/x)/(12/32) a multiple of 20?
False
Let z(v) = 18*v - 38. Suppose 6*u - 13 = 53. Is z(u) a multiple of 32?
True
Suppose w + 6*w + 42 = 0. Is 2/(-6) + (-584)/w a multipl | {
"pile_set_name": "DM Mathematics"
} |
*s**3 - 300*s + (6 - 2 - 2)*(2 + s**2 - 2 + s**3).
10*s**3 + 2*s**2
Expand (1 - 1 + 2)*(2*m - 3 - 1 + 2).
4*m - 4
Expand (-4 + 1 - 3)*(3 - 1 - 1)*(-s**2 + 0*s + s + 0*s).
6*s**2 - 6*s
Expand (-2*o + 2*o - o**3)*(1 + 1 - 1) - 2*o**2 + 9*o**3 - 2*o**2 - 11*o**3.
-3*o**3 - 4*o**2
Expand (-14*i + 9*i + 3*i)*((-2 + 0 + 4)*(-2 - 3 + 4) + 6 - 6 - 7)*(-2*i + 0*i + 0*i).
-36*i**2
Expand (3070 - 3070 + 36*g**4)*(6*g + 0*g - 4*g).
72*g**5
Expand 2*s**3 + s**5 - 2*s**3 - 2*s**4 + 2*s**4 - s**5 + (-5 + 3 + 4)*(-2*s**5 - 2*s**2 + 2*s**2) - 21*s**5 + 21*s**5 - 15*s**5.
-19*s**5
Expand -9 - q + 9 + (-q - 4*q + 4*q)*(9 - 1 - 1).
-8*q
Expand (c**3 - c**3 - c**3)*(-13 + 4 + 24).
-15*c**3
Expand (-3 - 1 + 0)*(0 + 2 + 7)*(0*b**4 + 2*b**4 + 0*b**4) - b**3 + 2*b**4 + b**3.
-70*b**4
Expand (-3 + 2 + 0)*(0 - 1 - 2)*(-9*u**3 + 41*u**2 - 41*u**2).
-27*u**3
Expand (11*m + 20 - 20)*(1 + 0 - 2)*(3*m - 5*m + m).
11*m**2
Expand (34*j**2 - 36*j**2 + 0*j**4 - j**4)*(-j + 3*j - 3*j).
j**5 + 2*j**3
Expand (6*q - 30*q - 2*q)*(-1 + 1 + 2) - 5*q + 4*q - 3*q.
-56*q
Expand (1 - 3 + 3)*(x**2 - 3*x**2 + 3*x**2) + 21*x**2 - 17*x**2 - 13*x**2 + (-2*x**2 + 2*x**2 + 3*x**2)*(0 - 1 - 2) + 0*x**2 + 2*x**2 - x**2.
-16*x**2
Expand (-h**2 + 5*h**2 - 2*h**2 + 1)*(-1 - 5 - 3*h + 2).
-6*h**3 - 8*h**2 - 3*h - 4
Expand (3*j + 2*j - 2*j)*(3 - 6 + 2) + 2*j - 2*j + j.
-2*j
Expand (-2*v + 0 + 0)*(194 + 37*v - 194).
-74*v**2
Expand (l**3 + 2*l**3 + 2*l**3 + (-4*l + 6*l - l)*(-l**2 + 4*l**2 - l**2) - l + l - l**3 - 4*l**3 + 0*l**3 + 5*l**3)*(-1 - 4 + 4).
-7*l**3
Expand (a + 3*a - 5*a)*(0 + 0 - 3)*(3 - 6 + 4).
3*a
Expand (-2*y - y + 6*y)*(-4*y**3 + 5*y**3 - 3*y**3) - y**2 - 2*y**4 + y**2 + y**4 + 0*y**4 + 0*y**4.
-7*y**4
Expand (w**2 + 2*w**2 - 4*w**2 + (2*w - 3*w + 2*w)*(-4*w + w + w))*(-3 + 3 + 2*w) + 5*w**3 - w**3 - 3*w**3.
-5*w**3
Expand (3 + 4 - 13)*(4*z + 0*z - 3*z)*(z + 2*z - 4*z).
6*z**2
Expand 2*p - 2*p + p**2 + (-p + 0*p - 4*p)*(-p - 2*p + 0*p).
16*p**2
Expand 2*v**2 - 2 + 2 + (2 - 2 + 3*v)*(-3*v - 3*v + 4*v).
-4*v**2
Expand 1 - 1 - o + (-1 + 0 + 0)*(0*o - 3*o + 4*o) + 16 - 16 + 9*o + (4 - 4 - 2)*(0*o - o - o) - 3*o + 6*o - o - 4*o + 2*o + 4*o.
15*o
Expand (1 - 7 - 1 + 1 + 1 - 1 + 4 + 3 - 5 + (-1 + 1 - 2)*(7 - 2 - 3))*(0 + 0 + f**3).
-8*f**3
Expand ((2*i - 2 + 2)*(4 + 0 - 1) - i + 0*i - 2*i)*(-4 - 2 + 5).
-3*i
Expand (2*c + 1 - 1)*(-c + 3*c + c)*(-1 + 2 + 1)*(-2*c + c + 3*c).
24*c**3
Expand -2*w**2 + w**2 + 2*w**2 + (w + 3*w - 2*w)*(0*w + 7*w - 2*w).
11*w**2
Expand 6*a - 5*a + 3*a + (a + 1 - 1)*(-1 - 2 + 2) - a - 4*a + 4*a.
2*a
Expand 0*k**2 - 2*k**2 + k**2 + 0*k**2 + k**2 - 2*k**2 + (2 - 7*k - 2)*(5*k - 4*k + k).
-16*k**2
Expand (0*k + 4*k - 10*k)*(-3*k + 1 - 1)*(-3*k - 1 + 1).
-54*k**3
Expand 1 - p**2 - 14*p**2 + 3*p**2 + (-1 + 1 - 2)*(-2*p**2 + p**2 + 0*p**2).
-10*p**2 + 1
Expand (0*k + 0*k + k**3)*(2 + 2*k - 2) - 3*k**4 - 3*k**2 + 3*k**2.
-k**4
Expand (3 - 2*j - 3)*(-4*j**3 + 0*j**3 + 3*j**3) + (-6*j**2 - j**2 + 2*j**2)*(3*j**2 - 1 + 1).
-13*j**4
Expand (3 - 2*d - 2*d**2 + 4*d**2 - 2)*((-4 + 1 + 2)*(-4 + 2 + 0) - 3 + 0 + 4 + 1 + 4 - 3).
10*d**2 - 10*d + 5
Expand (-2 + 4 + 0)*(0*r**4 + 2*r**4 + 3*r**4)*(0 + 0 + 2*r).
20*r**5
Expand (5*c**4 - 4*c**3 + 4*c**3)*(-c + 2*c + 2 + 0*c).
5*c**5 + 10*c**4
Expand (-6*m + 2*m + m)*(-17 - 10 + 4)*(2*m + 1 - 1).
138*m**2
Expand (2*w**3 + 1 - 1)*(2*w**2 + 2*w - 2*w) - w**5 + 3*w**2 - 3*w**2 - 2*w**5 - 2*w**5 - 9*w**5.
-10*w**5
Expand (-1 + 4 - 4)*(w**2 - 2*w**2 - w**2).
2*w**2
Expand (-y**4 + 4*y - 4*y)*(3*y - 2*y - 2*y) + 5*y**2 + 2*y**5 - 2*y**2 + 3*y**2 + 2*y**3.
3*y**5 + 2*y**3 + 6*y**2
Expand 5 + 2*y**2 - y**2 - 6*y**2 + (1 - 3 + 4)*(-4 + 4 - 2*y**2) - 3*y**2 + 3*y**2 + y**2 - 2*y**2 + 4*y**2 + 0*y**2.
-6*y**2 + 5
Expand (1 - 2 - 1)*(4*d + 6*d + 6*d).
-32*d
Expand 0*z**3 - z**3 + 0*z**3 + 4*z**3 + z**3 - 3*z**3 + (-3*z**3 + 0*z**3 + 0*z**3)*(0 + 0 + 2) - 3*z**3 - 2*z**3 + 4*z**3 + 1.
-6*z**3 + 1
Expand (2 + 4 - 1)*(3*j**2 - 5*j**2 + 4*j**2).
10*j**2
Expand (4*a - a + 2*a)*(a**2 + 2*a**2 - a**2) + 4*a**3 - 5*a**3 + 0*a**3.
9*a**3
Expand -2*d**4 + 2*d**4 + d**4 - d**2 + d**2 - d**4 + (2*d**3 + 0*d + 0*d)*(-2*d + 0*d + 0*d) - 82*d - 15*d**4 + 82*d.
-19*d**4
Expand (-m - 2 + 2)*(-30*m - 112*m + 50*m).
92*m**2
Expand (-4*x**3 + 3*x**3 + 0*x**3)*(-1 - 1 - 1)*(6*x - 3*x - x).
6*x**4
Expand (4 - 6 + 2*f + f)*(0*f - f + 2*f).
3*f**2 - 2*f
Expand (-2 + 1 + 3)*(-2 + 2 - 2*p**2).
-4*p**2
Expand (24 + 8*h**2 - 24 + (-3 + 3 - 2*h)*(-h + 6*h - 3*h) + 1 - 1 - 2*h**2)*(1 - 1 + 3*h**3).
6*h**5
Expand (3 + 2 - 4)*(5*f + f - 4*f) + (28 - 12 - 2)*(1 + 2*f - 1).
30*f
Expand (-2*f + 0*f - 2*f)*(-2*f + 4*f - 3*f)*(2*f - 6*f + 2*f)*(3 + f - 3).
-8*f**4
Expand (-4 + 1 - 6)*(o - o + 8*o).
-72*o
Expand -2*r**5 - r**3 + r**3 + r**5 + 3*r - 3*r + (r**2 + 5*r**2 - 4*r**2)*(r - r**3 - r) - 3*r**5 + 4*r**5 - 2*r**5.
-4*r**5
Expand (-5*f**3 + 0*f**3 + 3*f**3)*(-7 + 5 - 1).
6*f**3
Expand (0*o + 2*o**2 + 0*o)*((0 + 0 + 1)*(4*o**2 - 3*o**2 + o**2) + 5*o**2 + 0*o + 0*o)*(-7*o + o + o + (-5*o + 3*o + 3*o)*(-1 + 1 + 2)).
-42*o**5
Expand (-3*i**4 + 2*i**4 + 4*i**4)*(-i + 3*i - i) - 6*i**5 + 2*i**5 + i**5 + (0*i**3 - 3*i**3 + 2*i**3)*(-i**2 + 3*i**2 - i**2).
-i**5
Expand 4*p - 2*p**3 - 4*p + (p**3 - 2*p**3 + 2*p**3)*(2 + 1 - 4) - 2*p**3 - 4*p**3 + 4*p**3.
-5*p**3
Expand (-3*s - s + 2*s)*(2 + 2 - 6)*(-25*s + 0*s + 62*s).
148*s**2
Expand 2*k**4 + k**4 - 2*k**4 + (k**3 - 8*k**3 + 3*k**3)*(4 + k - 4).
-3*k**4
Expand (12*a**2 - 11*a**2 - 1 + 2 + a**3)*(a**2 - a + a).
a**5 + a**4 + a**2
Expand (3*x - 5*x + 3*x)*(-6 - 9 + 13 + 18*x).
18*x**2 - 2*x
Expand ((0 + 0 - 2*g)*(0 + 1 - 3) + g + 0*g + 0*g)*(-1 - 4 + 0 + (3 + 0 - 4)*(2 + 0 - 4)).
-15*g
Expand (-2 + 6 - 2)*(-14*o + 2 - 2*o**3 + 14*o).
-4*o**3 + 4
Expand (1 + 1 - 1)*(-2*m - 13*m + 3*m)*(5*m - 3*m - m).
-12*m**2
Expand (3*t - 5*t + 4*t)*(2 - 2 + t**3) + (0*t - 5*t + 2*t)*(3*t**3 + t**3 - 2*t**3).
-4*t**4
Expand (-2 + 2 + 1)*(-10 + 2 - 9)*(-2*a + 0 + 0).
34*a
Expand (5*t - 3*t + 0*t + (-4 - 3 + 6)*(-2*t + t - t) + t + t - t + 4*t - 2*t + t)*(22 + 0 - 6).
128*t
Expand (-o**2 + 0*o**2 - 3*o**2)*(-476*o + 478*o - 3 - 3*o**2 + 4).
12*o**4 - 8*o**3 - 4*o**2
Expand (-3*o**4 + 2*o**4 - o**4)*(0*o + o + 3*o) + 3 - 3 - 2*o**5.
-10*o**5
Expand 0*b**4 + b**4 + b**4 - b**4 + b**4 - 2*b**4 + (-2*b**3 - 2*b**4 + 2*b**3)*(0 - 2 + 3) + b**4 - 3*b**4 + b**4 + 17*b**4 - 11*b**4 + 6*b**4.
9*b**4
Expand (-2*c**5 + 4*c - 4*c)*(-24 + 44 - 19).
-2*c**5
Expand ((q - 3*q + 0*q)*(-3*q + 5*q - 4*q) - 5 + q**2 + 5 - q**2 - q**2 + 4*q**2 + 4*q**2 - q**2 - q**2)*(q**2 - q**2 - 2*q**2).
-18*q**4
Expand (3 - 5 + 3)*(-291 - 17*q + 291).
-17*q
Expand 2*n**4 + 0*n**4 - 4*n**4 + (0*n**2 - 4*n**2 + 2*n**2)*(-1 + 1 - 2*n**2) - 5*n**4 + 10*n**4 + 7*n**4 + (-n + 3 - 3)*(-5*n + 5*n - n**3).
15*n**4
Expand (6*z - 2*z**3 - 2*z**5 + 2*z**3)*(-4 - 4 + 6).
4*z**5 - 12*z
Expand (-2 + 2 - 2)*(-3*i - 5*i + 4*i)*(-2 + 4 - 3 + (1 + 3 - 3)*(-1 + 4 - 1) - 3 + 1 + 3 + 3 - 2 - 2).
8*i
Expand (-3*r**2 + 3*r**2 - r**2)*(-r**3 + 0*r**3 + 3*r**3) + 3 - 2*r**5 - 3 - 2*r**5 + 6*r**5 - 6*r**5 - r**4.
-6*r**5 - r**4
Expand (-3*q + 4*q + q)*(3*q + 3*q + 2*q)*(2 - 7 + 0).
-80*q**2
Expand (0 - q + 0)*(-51 + 74*q + 51).
-74*q**2
Expand (3*u**2 + 0*u**2 - 2*u**2 + u**2 + 2*u**2 - 4*u**2 + (2*u - 3*u + 3*u)*(-2*u + 0*u + 4*u) - 11*u**2 - 47*u + 47*u)*(u**2 + 4 - 4).
-7*u**4
Expand (-3*a + 3*a - a)*(-1 + 1 + a) + 3 - 2*a**2 - 3 + (6*a - 3*a + a)*(-2*a - 3*a + 3*a).
-11*a**2
Expand 3*y**4 + y**4 - 5*y**4 + (4*y - y - y)*(3*y - 3*y - 7*y**2)*(0*y + 0*y + 3*y).
-43*y**4
Expand (-91*i**2 + 91*i**2 - 14*i**3)*(3 + 3 - 5).
-14*i**3
Expand (-h + h**2 + h)*(-3*h - 7*h - 8*h).
-18*h**3
Expand (3 + 2 - 7)*(3*y + y - y) - 3*y + 0*y + 6*y.
-3*y
Expand (2*s**2 + 0*s**2 - 5*s**2)*(4 + 0 - 5)*(3*s - 2*s + 0*s)*(-1 + 3 - 1).
3*s**3
Expand (m**2 - 4*m**2 + 2*m**2)*(0 - 2 + 4)*(2 - 3 + 3 + (-4 + 1 + 1)*(-3 + 0 + 2) + 2 + 1 + 0).
-14*m**2
Expand (-j - 1 + 1)*(0 + 3 - 4)*(4 - 3 - 2).
-j
Expand (0*s + 0*s - 3*s**2)*(2*s**3 + 7*s**3 - 5*s**3).
-12*s**5
Expand -3*y**4 - 3*y**4 + 4*y**4 + (-3*y + 3*y - 3*y)*(-2*y**2 + 2*y**2 + 5*y**3).
-17*y**4
Expand (-315*h + 41*h**2 + 315*h)*(3*h - 2*h - 3*h).
-82*h**3
Expand (-3 + 4 + 0)*(-3*n**3 - n**3 + 7*n**3) - n**3 - n**3 + n**3.
2*n**3
Expand (-1 + 3 - 3)*(2*h + h - h) - 15*h + 24*h + 23*h.
| {
"pile_set_name": "DM Mathematics"
} |
r) be the third derivative of -r**5/30 + r**4/4 + r**3/3 - 2*r**2. Calculate h(t).
-18
Let m(u) = -u**3 - 7*u**2 + 9*u - 4. Let r be (3/(-5)*-2)/((-186)/1240). Give m(r).
-12
Suppose -11 = -3*a + 2*m, m - 2*m = 3*a + 1. Suppose -b + 0*b + 2*u = 8, -16 = 5*b - 4*u. Let h(k) = k**2 - k + b - 5 + 6. What is h(a)?
1
Let v(o) be the third derivative of o**5/60 - 13*o**3/6 + 3*o**2 - o. Determine v(0).
-13
Let j = 15 - 9. Let f(k) = -k**3 - 3*k - 5. Let u(q) = -q. Let x(n) = -2*n**3 - 10*n - 9. Let r(p) = -5*u(p) + x(p). Let m(o) = j*r(o) - 11*f(o). Give m(-2).
3
Let m = 131 + -53. Let k = -77 + m. Let r(j) be the second derivative of 5*j**4/12 + j. What is r(k)?
5
Let w be (-12)/(-18) + 8/(-12). Suppose -2*j - 3*j = w. Let g(o) = 1 - 5*o - 3 + j. Calculate g(-2).
8
Let w(l) = l + 3. Let o be w(3). Let t(x) be the second derivative of 0 - 4*x**2 - 1/20*x**5 + 1/2*x**4 - 1/6*x**3 + 12*x. Give t(o).
-14
Let a(t) be the second derivative of t**2/2 + 11*t. Let z(n) = 2*n + 5. Let y(v) = -5*a(v) + z(v). Determine y(-2).
-4
Let v be 120/32 + 6/(-8). Let l(c) = -c. Let i(r) = -5*r - 4. Let y(x) = -i(x) + 6*l(x). What is y(v)?
1
Suppose 0 = f - 11*f + 40. Let y(v) = -v**3 + 5*v**2 - 6*v + 4. Give y(f).
-4
Let d(m) = -m**3 - m**2 - m + 1. Let i(f) = -3 + 13 + f + f**2 - 5*f**3 - 5*f - 12*f**2. Suppose 5*h - 15 = 15. Let j(l) = h*d(l) - i(l). Calculate j(3).
8
Let l be ((-189)/(-108))/(1/(-4)). Let r(h) = h**2 + 8*h - 5. Calculate r(l).
-12
Let p(o) be the first derivative of -o**4/4 - o**3/3 + 2*o**2 + o + 343. Give p(-4).
33
Let b(s) = 2*s - 8. Let w be b(5). Let g(t) = -t**3 + t - t - 5*t**w - 6*t - 1. Calculate g(-4).
7
Let z(k) = -k**3 + 3*k. Suppose 0 = 2*c + 2*o + 2, 7*c + 13 = 6*c - 4*o. Calculate z(c).
-18
Let q(m) = m**2 + 2*m - 2. Let r(y) = y**3 + 2*y**2 - 7*y - 5. Let p be r(-3). Suppose -5*v - 8 = p. Determine q(v).
1
Let w be 3 + -1 + 8/(-2). Let l be 0 - (3 + w - 3). Let g(y) = -4*y**3 + 3*y - l*y - 4 + 3*y**3 - 2*y - 6*y**2. Calculate g(-6).
2
Let p(t) = -3*t**2 + t - 2. Suppose -3*k = -7*k. Let o(g) = 0*g**3 - 2*g**3 + g + 2 + 3*g**3. Let x be o(k). Determine p(x).
-12
Let p(x) = -42 - 21*x - 333*x**2 + 332*x**2 - 8. Give p(-18).
4
Let q(p) = -p + 5. Suppose -9*r = -7*r. Calculate q(r).
5
Let f(m) be the third derivative of -m**6/360 - m**5/120 - m**4/12 + 11*m**3/6 + 8*m**2. Let t(w) be the first derivative of f(w). Calculate t(0).
-2
Let f(g) = -2*g**2 + 2*g + 3. Let r be f(0). Let v(x) = -x - 3. Let s(j) = -5*j - 12. Let m(w) = -2*s(w) + 9*v(w). What is m(r)?
0
Let t(u) be the first derivative of u**4/4 - 11*u**3/3 + 6*u**2 - 26*u + 309. Give t(10).
-6
Suppose 0*i = -2*i + 36. Suppose 3*d - 3*n + i = 0, 2*n - 12 = -3*d - 5. Let j(f) = -12*f**2 - f - 1. What is j(d)?
-12
Let s(g) = 1. Let i = 1 + 0. Let d(p) = -4*p + 6*p + 6 - p**2 + 4 - 3*p. Let l(b) = i*d(b) - 6*s(b). Determine l(0).
4
Let h(g) = -g**2. Let z(w) = -w - 1. Let p(x) = -4*x**2 - 13*x - 12. Let t(v) = -p(v) + 4*z(v). Let r(f) = 5*h(f) + t(f). Give r(9).
8
Let c(u) = u**3 - 13*u**2 + 22*u - 8. Suppose 2*g - 72 + 50 = 0. Let z be c(g). Let q(h) = -h**3 - 7*h**2 + 9*h + 12. Calculate q(z).
4
Let t(w) be the first derivative of -8 - w**2 - 5/3*w**3 + 2*w - 1/4*w**4. Let r(l) = l**3 - 5*l**2 + 3*l. Let x be r(4). Calculate t(x).
-6
Suppose -4*t + 108 = 4*r, r - 2*t - 12 - 30 = 0. Let c = 29 - r. Let q(m) = -2*m**2 + 3*m + 2. What is q(c)?
-25
Let t = 9 - 9. Suppose t = q - 2*q + 4. Let u(y) = 0*y**2 - q*y + y**2 - 2 + 2*y. Determine u(-2).
6
Let d(r) = 2*r**2 - 6*r - 25. Let w(a) = -3*a**2 + 12*a + 46. Let l(y) = 5*d(y) + 3*w(y). What is l(-7)?
20
Suppose -3*m + 22 = 13. Let w(i) = 6*i + i**m + 4*i**2 - 6*i + 6 + 2*i. Calculate w(-4).
-2
Suppose 0 = s, -5*b - 6*s = -s - 15. Let n(a) = -a**2 + 11*a - 27. Let k(m) = -3*m + 9. Let i(c) = 3*k(c) + n(c). Determine i(b).
-3
Let y(t) be the third derivative of t**7/840 - t**5/40 + t**4/6 - 7*t**3/3 + 5*t**2. Let k(i) be the first derivative of y(i). What is k(3)?
22
Let j(b) = -2*b + 9. Let l(d) = 7 + 3 - 5*d + 4*d - 12. Let p be (-8)/3*(4 + -1). Let z be l(p). Calculate j(z).
-3
Let h = 1 - 1. Let t(l) = 4 - 2*l + l + h*l. Suppose 76*s = 66*s + 20. Calculate t(s).
2
Let x(s) = s**2 + 9*s + 5. Let y be (-5)/2*56/(-70) + 1. Suppose 2*k + 14 = -y*r, 4*k = 2*r - 0*k + 36. Give x(r).
-3
Let c = 198 + -208. Let w(k) = 2*k + 23. Determine w(c).
3
Let q = 83 - 50. Let w = q + -33. Let z(h) = -h + 15. Determine z(w).
15
Let m(f) = 8*f + 15 - 12 + 10 + 8. What is m(-3)?
-3
Let w(p) be the first derivative of p**4/4 + 2*p**3 + 3*p**2/2 - 6*p + 2. Suppose 0 = -4*y + 4*j + 54 + 2, 0 = y + 2*j - 17. Suppose 2*c + 25 = y. Give w(c).
4
Let b(r) be the second derivative of r**4/12 + r**3/6 + 7*r**2/2 - r. Let v = 9 + -7. Suppose -3*f - v*t = 6, -3 = 4*f + t - 0. Give b(f).
7
Suppose w + 8 - 9 = 0. Let s(c) = -1 + 2*c + 4 - 1 - c**2 + w. Calculate s(4).
-5
Let o be 2/3 + -6 + 132/18. Let p(f) be the first derivative of -1/4*f**4 + 1/3*f**3 - 1/2*f**2 - o - 3*f. What is p(0)?
-3
Let c(a) be the third derivative of 0*a**3 + 0*a + 5*a**2 + 0 - 1/24*a**4 - 1/360*a**6 - 1/120*a**5. Let t(x) be the second derivative of c(x). Calculate t(1).
-3
Let i(s) = 4*s**3 + 1 + 2*s - 7*s**3 + 0*s. Let f = -1 + 4. Suppose 4*g + 0*n + 5*n - 1 = 0, f = -g + 2*n. Give i(g).
2
Let d(s) = 3*s**2 + 3*s + 3. Suppose -3*j = -5*f - 1 - 41, 18 = 3*j + 3*f. Let g = -11 + j. Give d(g).
9
Let u = 27 - 32. Let z be 18/45 - 23/u. Let m(o) = -o**2 + 8*o - 7. Calculate m(z).
8
Let v(k) = 5*k**2 - 5*k - 1. Let m(o) = -o**2. Let n(t) = 4*m(t) + v(t). Calculate n(4).
-5
Let v(m) be the first derivative of 15*m**4/2 + m**3/3 + m**2/2 + m + 83. Give v(-1).
-29
Let r(t) = -2*t - 1. Suppose c = -1 - 4, 2*z - 4*c = 30. Let h be (2/z)/(2/(-5)). Calculate r(h).
1
Let n(p) be the second derivative of -2*p**3/3 + 2*p**2 - 2*p + 132. What is n(6)?
-20
Let a(n) = 8*n**2 - 3*n - 4. Let j(q) = -7*q**2 + 4*q + 5. Let r(i) = -4*a(i) - 3*j(i). What is r(1)?
-10
Let b = -4 + 6. Let g(y) = -8 + 6*y**3 + 4*y + 7*y**b - 9*y**3 + 4*y**3. Give g(-6).
4
Let q = 1609/2 + -802. Let m(g) be the second derivative of -1/12*g**4 - q*g**2 + 1/20*g**5 - 1/6*g**3 - 7*g + 0. Give m(0).
-5
Let a(f) = f**3 - 6*f**2 - 4*f - 5. Let h be (0 - -5)/15 + (-140)/(-21). Give a(h).
16
Let h(b) be the third derivative of -28*b**2 - 1/120*b**6 + 1/12*b**5 - 1/8*b**4 - 1/3*b**3 + 0*b + 0. Determine h(3).
7
Let v(b) = 2*b + 31. Let f(p) = -p - 17. Let i(m) = -11*f(m) - 6*v(m). Give i(-10).
11
Let o(x) = -30 + 23 + 2*x - x - 2*x. Let v(z) = -3*z + 4. Let l be v(3). Let b be o(l). Let h(r) = r**3 - r**2 - 4*r - 3. Determine h(b).
-7
Suppose 4*t - 129 = 63. Let a = t + -45. Let x(f) be the third derivative of -f**4/24 + f**2. Determine x(a).
-3
Let v(j) = 7*j - 2. Let x(k) = -5*k + 2. Let p(n) = 2*v(n) + 3*x(n). What is p(-5)?
7
Suppose -8*k - 58 + 18 = 0. Let q(w) = w**3 + 6*w**2 + 2*w - 5. Determine q(k).
10
Let w(j) = j**2 + 3*j - 6. Suppose -28*l = 184 + 12. Determine w(l).
22
Suppose 2*s = -0*s + 16. Let q(g) = -5*g + 5*g - 1 + s*g. Let m = -12 + 13. Calculate q(m).
7
Let c(y) = 2*y**3 + 5*y**2 + 2*y. Let w(o) = o**3 + 7*o**2 + 20*o + 47. Let r be w(-5). Determine c(r).
-15
Let r = -576 + 580. Let g(d) be the second derivative of -4*d**2 + 0 - 1/20*d**5 + 5*d - 5/12*d**r + d**3. Give g(-6).
-8
Let d = 123 + -122. Let l(m) = -31*m**3 + 1. Give l(d).
-30
Let d(n) = -4*n**2 + 18*n**2 + 1 - 3*n - n**2 + 9*n**2 + 2*n. Give d(1).
22
Let y(g) = -2*g**3 - 3*g**2 + 3*g - 3. Let v be -2*(-5)/(-45)*(-27)/3. What is y(v)?
-25
Let l(p) = -7*p**2 + 7*p + 6. Let k(s) = -s - 1. Let d(r) = 6*k(r) + l(r). Suppose 0 = 2*j - 3 - 1. Suppose 3 = j*q - 5*q. What is d(q)?
-8
Let o = 11 - 1. Let p(v) = v**3 - 10*v**2 - v + 13. Let c be p(o). Let j(n) = n**2 - 4*n + 2. Give j(c).
-1
Let w(c) = -4*c**3 + 8*c**2 + 8*c. Let g(r) = -11*r**3 + 23*r**2 + 24*r - 1. Let v(q) = -3*g(q) + 8*w(q). Determine v(6).
-9
Let r(n) = -n**3 - 21. Let g(v) = -8*v**2 - 27*v + 42. Let o(q) = 3*q**2 + 9*q - 14. Let i(t) = -4*g(t) - 11*o(t). Let p be i(7). What is r(p)?
-21
Let c(i) = i**2 - i + 1. Let r(p) = -9*p**2 + 4*p - 12. Let t(w) = 24*c(w) + 3*r(w). Let l(d) = -d**2 - d. Let j(o) = 2*l(o) - t(o). Calculate j(-8).
-4
Let i = 83 - 76. Let p(j) = 15*j - i - 12*j - 2*j. Give | {
"pile_set_name": "DM Mathematics"
} |
01 + 111101010?
111100101
In base 11, what is -210 + 1?
-20a
In base 8, what is 1374 + 0?
1374
In base 11, what is -6 - 16?
-21
In base 3, what is 2 - -2220222?
2221001
In base 9, what is -2 - 1?
-3
In base 14, what is 1a33 + -3?
1a30
In base 12, what is 28 - 137?
-10b
In base 14, what is 10 - -1c?
2c
In base 11, what is 13 + -15?
-2
In base 9, what is -1 - -35?
34
In base 2, what is -11100001110011 - -10?
-11100001110001
In base 16, what is 295 + 8?
29d
In base 5, what is 40400 - 2?
40343
In base 12, what is -5 - 63?
-68
In base 7, what is 30 + -21?
6
In base 16, what is -96 - 4?
-9a
In base 2, what is -1000000011 - 0?
-1000000011
In base 6, what is -23 + 3?
-20
In base 3, what is -1000010 - 2?
-1000012
In base 11, what is -4 + -197?
-1a0
In base 10, what is 707 - 4?
703
In base 15, what is 2 - 27?
-25
In base 11, what is 279 - -2?
280
In base 3, what is -221 - 2211?
-10202
In base 10, what is 70 + 4?
74
In base 5, what is 3 + 31?
34
In base 13, what is 7 + -3c?
-35
In base 14, what is 25 + -d?
16
In base 12, what is -3641 + 5?
-3638
In base 14, what is 82 - -2d?
b1
In base 16, what is -135 + -2?
-137
In base 7, what is -5 - 1?
-6
In base 6, what is -1 + 12144?
12143
In base 7, what is -3 - -5614?
5611
In base 13, what is 1c + 4?
23
In base 3, what is 100102 + -10?
100022
In base 11, what is 2 + 50?
52
In base 6, what is -4 - -102?
54
In base 3, what is 1 - -2111?
2112
In base 11, what is -20 + -12?
-32
In base 3, what is -1 + 121000?
120222
In base 15, what is 36 - b?
2a
In base 11, what is -64 + -1?
-65
In base 8, what is 3 + 2266?
2271
In base 7, what is -1 - -26?
25
In base 12, what is -10 - 7?
-17
In base 3, what is -10 + 20021?
20011
In base 12, what is 32 + 5?
37
In base 15, what is -13 - 173?
-186
In base 13, what is 2 - -599?
59b
In base 16, what is 2e + -8?
26
In base 8, what is 6371 + 5?
6376
In base 15, what is -5 + -972?
-977
In base 13, what is 1c - 6?
16
In base 8, what is 17 + 153?
172
In base 6, what is -2 - -122?
120
In base 8, what is -111175 + 5?
-111170
In base 4, what is 1333 - 11?
1322
In base 11, what is 2 - -3819?
3820
In base 12, what is -206a + -3?
-2071
In base 13, what is -10 + 784?
774
In base 5, what is 10 + 1203?
1213
In base 15, what is 33 - 1?
32
In base 2, what is -1101010 - 0?
-1101010
In base 4, what is 333 + 3?
1002
In base 16, what is b - 25?
-1a
In base 4, what is -2001 - 12?
-2013
In base 4, what is 3 + 31003?
31012
In base 8, what is -2 - 2236?
-2240
In base 8, what is 15 - 17?
-2
In base 11, what is -a0 + 1?
-9a
In base 15, what is -4b1 - -3?
-4ad
In base 12, what is 19 + 180?
199
In base 8, what is -10 - -15?
5
In base 4, what is -1003222 + -10?
-1003232
In base 16, what is 0 + 614?
614
In base 5, what is -10 - 20340?
-20400
In base 5, what is -24 - 3?
-32
In base 3, what is 110122 - 1100?
102022
In base 6, what is 23044 + -1?
23043
In base 13, what is 14b13 + 5?
14b18
In base 13, what is 6 + -24c2?
-24b9
In base 14, what is -1 - 166b?
-166c
In base 2, what is 11 + -100100110?
-100100011
In base 16, what is 59 - 8?
51
In base 14, what is a + 2?
c
In base 11, what is -25 - -1?
-24
In base 15, what is -91 + 2e?
-62
In base 13, what is 50c - -2?
511
In base 4, what is 310230 + -1?
310223
In base 11, what is 27 - 1a?
8
In base 5, what is -100 - -34?
-11
In base 16, what is -8 + a?
2
In base 2, what is -11 - -11101011?
11101000
In base 7, what is 2662 + -2?
2660
In base 12, what is -5 - -51?
48
In base 7, what is -3 - -5340?
5334
In base 6, what is 0 - -424?
424
In base 12, what is 2 - 90?
-8a
In base 6, what is -24 + -41?
-105
In base 11, what is -3 + 1a5?
1a2
In base 8, what is 744 - 4?
740
In base 10, what is -2 + -35?
-37
In base 6, what is 312 + -2?
310
In base 2, what is -11100111 + 100?
-11100011
In base 10, what is 77 + 6?
83
In base 13, what is 3 - -14b?
151
In base 9, what is 305 + -102?
203
In base 13, what is -394 - -4?
-390
In base 8, what is -1547 - 5?
-1554
In base 11, what is 0 - -28?
28
In base 10, what is -1363 - 0?
-1363
In base 10, what is 4 + -250?
-246
In base 11, what is -128 + 13?
-115
In base 7, what is 501 - 3?
465
In base 3, what is 21 - 1101121?
-1101100
In base 5, what is 130200 - 10?
130140
In base 16, what is -b - -f3?
e8
In base 9, what is -14 - 444?
-458
In base 12, what is 120 - -b?
12b
In base 9, what is 3 - -43?
46
In base 11, what is 134 - 0?
134
In base 7, what is -4 - 136?
-143
In base 12, what is -b + 19?
a
In base 12, what is -61 + -4?
-65
In base 15, what is -28 + 5?
-23
In base 2, what is 10110011100111 - 1?
10110011100110
In base 4, what is -233212 - -10?
-233202
In base 6, what is -134 - 20?
-154
In base 11, what is 111 + -13?
a9
In base 2, what is -1000101101 + 10?
-1000101011
In base 6, what is 2 + -104?
-102
In base 5, what is 12 - -3?
20
In base 2, what is -1111 - 11?
-10010
In base 9, what is -1 + 21?
20
In base 12, what is 2 + 112?
114
In base 5, what is -404 + 23?
-331
In base 5, what is -21423 + 3?
-21420
In base 10, what is 4 - 894?
-890
In base 12, what is 63 - -43?
a6
In base 15, what is -2 + 513?
511
In base 10, what is 620 + -3?
617
In base 2, what is 100101110100 - -1?
100101110101
In base 5, what is -1 - 1104?
-1110
In base 7, what is 26 - 362?
-333
In base 8, what is -13 + -46?
-61
In base 16, what is 1 + -c?
-b
In base 11, what is 0 - -44?
44
In base 13, what is 91 + -5c?
32
In base 2, what is -11 + -10001?
-10100
In base 14, what is c76 + 0?
c76
In base 3, what is -2111 + -1?
-2112
In base 11, what is -1 - 21a?
-220
In base 11, what is -3 + -2a?
-32
In base 10, what is -540 - -2?
-538
In base 13, what is -8 - 2?
-a
In base 15, what is 18d - 3?
18a
In base 16, what is -57 + -1?
-58
In base 5, what is 3 - 40?
-32
In base 10, what is -64 + 4?
-60
In base 13, what is 42 - -c4?
136
In base 2, what is 1000001 - -111?
1001000
In base 7, what is 54 + -501?
-414
In base 10, what is -32 + 5?
-27
In base 3, what is -11 - 102212?
-110000
In base 5, what is -3 + 2?
-1
In base 9, what is 0 - 572?
-572
In base 8, what is -212 + -12?
-224
In base 14, what is 23 - 10?
13
In base 5, what is 311 - 31?
230
In base 13, what is -1 + -15?
-16
In base 15, what is -a - 278?
-283
In base 3, what is 1020210 - 0?
1020210
In base 4, what is -1210 + 200?
-1010
In base 5, what is 314 + -1110?
-241
In base 13, what is -5 + -12?
-17
In base 9, what is -2213 + -5?
-2218
In base 15, what is 1c1 + 9?
1ca
In base 5, what is -4 + 20413?
20404
In base 6, what is -2 - 252?
-254
In base 9, what is 10632 + 5?
10637
In base 5, what is 0 - -134?
134
In base 3, what is -201200 - -1?
-201122
In base 4, what is 1031 + 12?
1103
In base 7, what is 5 - 1540?
-1532
In base 13, what is -4 + 84?
80
In base 8, what is -76 + -203?
-301
In base 10, what is -3 + 3?
0
In base 2, what is 1000111 + -1?
1000110
In base 11, what is -2378 + 0?
-2378
In base 15, what is a - 475?
-46a
In base 6, what is 334 - 2?
332
In base 2, what is 1 - -100010?
100011
In base 14, what is 2 - -44?
46
In base 6, what is 432 - -101?
533
In base 16, what is 1 + -11a2?
-11a1
In base 12, what is -3 + -120?
-123
In base 10, what is -40 + 24?
-16
In base 2, what is -101 + 100000110?
100000001
In base 7, what is 156 - 20?
136
In base 7, what is 164 - -1?
165
In base 4, what is -22300 - -1?
-22233
In base 11, what is -1 + 4118?
4117
In base 9, what is 178 + -12?
166
In base 14, what is -5 + 9?
4
In base 8, what is -13 - -4?
-7
In base 14, what is 19 - -2c7?
302
In base 5, what is -2 + -1003?
-1010
In base 2, what is -1110 - -100?
-1010
In base 4, what is -10 - -313222?
313212
In base 10, what is 396 + -4?
392
In base 3, what is -212 - -202?
-10
In base 9, what is -26 - 5?
-32
In base 11, what is -2 - 27?
-29
In base 10, what is -24 + 5?
-19
In base 2, what is -10000000101 - -100?
-10000000001
In base 6, what is 4 + -220?
-212
In base 14, what is -20 - -19?
-5
In base 8, what is -3676 + -1?
-3677
In base 5, what is -2412202 + -3?
-2412210
In base 14, what is 0 + 135?
135
In base 14, what is 5 - -74?
79
In base 8, what is -4 + -3352?
-3356
In base 13, what is 1a3a - 4?
1a36
In base 10, what is -30 - 11?
-41
In base 13, what is -1545 - 5?
-154a
In base 12, what is -460 - 2?
-462
In base 16, what is -1 - 1c?
-1d
In base 9, what is 4 - 358?
-354
In base 14, what is -120 - -5?
-119
In base 6, what is 0 - -11540?
11540
In base 7, w | {
"pile_set_name": "DM Mathematics"
} |
uming y is positive.
y**(-28/3)
Simplify w*w**20*(w/(w*w/w**(-4/13)))/w assuming w is positive.
w**(243/13)
Simplify (f**(-1/4))**35*f/(f/f**(1/5)*f)*f/(f/((f/(f*f**7))/f)*f) assuming f is positive.
f**(-371/20)
Simplify (x**(-4/9)*(x*x/(((x/(x**(-2/11)/x))/x)/x))/x)/(x**0/x**(-2)) assuming x is positive.
x**(-161/99)
Simplify (((p**(-2/7)/p)/p)/p)**(2/45)*p**(-1)/(p/(p/(p*p**0*p))) assuming p is positive.
p**(-991/315)
Simplify (v/(v/v**(-1/18)))/((v**(-1/8)/v)/v) assuming v is positive.
v**(149/72)
Simplify ((w*w**(-1/15)/w)/(w/((w**(-5)/w*w)/w)))/(w**(-1/2)/(w**(2/17)*w)) assuming w is positive.
w**(-2779/510)
Simplify (((r/(r*r**(-20))*r)/r)/r)/r**(1/2) assuming r is positive.
r**(37/2)
Simplify ((g*g**(-6))**13)**(-8) assuming g is positive.
g**520
Simplify k*k/(k**(-6)*k)*k**4*k**(2/7)/(k*k**(2/5)*k*k) assuming k is positive.
k**(276/35)
Simplify (((i**(-3)*i*i)/i)/i**0)/(i/(i*i**2)*i**(2/7)) assuming i is positive.
i**(-2/7)
Simplify (y*y/y**(-1/15))/y**(-10) assuming y is positive.
y**(181/15)
Simplify (a/a**(-3))/a**(-5/7) assuming a is positive.
a**(33/7)
Simplify (l**(-1/4)/l**(-1/2))**(-11) assuming l is positive.
l**(-11/4)
Simplify m**2*m/((m*m*m/(m**(-4)/m))/m) assuming m is positive.
m**(-4)
Simplify (i**(-1/3)/i**5)/(i**(-1/5)*i/(i**1/i*i*i*i*i)) assuming i is positive.
i**(-32/15)
Simplify (w/w**(2/27)*w**(-1/3))**16 assuming w is positive.
w**(256/27)
Simplify (w/(w*w**0))**(5/6)/(w/w**6*w**10/w) assuming w is positive.
w**(-4)
Simplify (n*n**(2/7))**7*(n**1)**(-39) assuming n is positive.
n**(-30)
Simplify (k**(2/3))**(3/22)*k**(-2/9)*k**(-2/7) assuming k is positive.
k**(-289/693)
Simplify (s/(s*s**(-5/3)))/s**(-8)*(s**(1/3)/s)**(12/13) assuming s is positive.
s**(353/39)
Simplify (c*c**(-3/11)*(c**(-4)/c)/c)**30 assuming c is positive.
c**(-1740/11)
Simplify h**14/(h**1/h) assuming h is positive.
h**14
Simplify (x**(-1)*x/(x*x*x/(x/x**(1/4))*x*x*x))/((x/x**(2/3))/x**(2/9)) assuming x is positive.
x**(-193/36)
Simplify ((n**(-4)/n*n)**(-3/10))**32 assuming n is positive.
n**(192/5)
Simplify p**(9/5)/p*p**(-2/9) assuming p is positive.
p**(26/45)
Simplify m/(m*m**(-1/13)*m)*m**(-11) assuming m is positive.
m**(-155/13)
Simplify g*g*g*g/g**1*g**(-2)*g*g**0*g**(1/5)/g*g*g assuming g is positive.
g**(16/5)
Simplify (z*z*z**(4/11)*z*z)/z*z**22 assuming z is positive.
z**(279/11)
Simplify (r**(4/7)/(r*r**(-3/4)/r))/((r*r/(r*r**3))/r**(-4)) assuming r is positive.
r**(-19/28)
Simplify (i*i**(-1/6)*i)**(-15) assuming i is positive.
i**(-55/2)
Simplify (h**2)**(-9/5)/(h/(h**(-1)/h))**(-37) assuming h is positive.
h**(537/5)
Simplify o**(-18)/(o**(-9)/o) assuming o is positive.
o**(-8)
Simplify (o**(-31))**(-3) assuming o is positive.
o**93
Simplify (h*h**(-2/7))**(-2/39)*h**6/(h**8*h) assuming h is positive.
h**(-829/273)
Simplify j**(-2/29)/j*j**(-6)*j assuming j is positive.
j**(-176/29)
Simplify (k**(-1/2)*k*k/((((k/(k*k*(k/k**(1/6))/k)*k*k)/k)/k)/k))/((k**(2/5)*k)/k)**(3/28) assuming k is positive.
k**(691/210)
Simplify r**3/((r*r**(2/3)*r)/r)*r**(-1/3)*r*r*r*r**(2/3)*r assuming r is positive.
r**(17/3)
Simplify k*k**(-13)*((k*(k/k**28*k)/k*k)/k)/k assuming k is positive.
k**(-39)
Simplify v**4/v**(-7) assuming v is positive.
v**11
Simplify (z**(-1))**(5/17) assuming z is positive.
z**(-5/17)
Simplify (t/(t**(2/7)*t))**(-49)/(t/(t*t**(-6))*t**(1/7)) assuming t is positive.
t**(55/7)
Simplify (a**(-2)*a)**(5/21)*((a*a**2)/a)**15 assuming a is positive.
a**(625/21)
Simplify (m*m*m**6*m**(-2))/(m/m**(-2/19)*m/(m*m/(m/((m/(m**(-1/5)*m)*m)/m)))) assuming m is positive.
m**(484/95)
Simplify n**(-1/15)*((n**(2/71)*n)/n)/n assuming n is positive.
n**(-1106/1065)
Simplify ((z*z**(-3))/((z*z*z/(z**(3/4)*z*z)*z*z)/z))**(-34) assuming z is positive.
z**(221/2)
Simplify o**(-21)*((o*o**13)/o)/o assuming o is positive.
o**(-9)
Simplify ((w*w**(-21))/w*w*w*w)/(w**29*w) assuming w is positive.
w**(-48)
Simplify y**22*y/(y*y**(1/8))*y assuming y is positive.
y**(183/8)
Simplify (p/p**(-17))/p*p**(6/11)*p assuming p is positive.
p**(204/11)
Simplify (t**(-1)/t)**(-2/3)/(((t*t**8)/t)/(t**(3/2)*t)) assuming t is positive.
t**(-25/6)
Simplify (((q**(2/15)*q)/q)/q*q**(-16))**49 assuming q is positive.
q**(-12397/15)
Simplify (a/(a**(3/10)*a))**(-26) assuming a is positive.
a**(39/5)
Simplify (p**(2/23)/(p**(2/25)/p))**(-18/13) assuming p is positive.
p**(-10422/7475)
Simplify i**(-2/5)/i*(i/(i/(i/(i**8*i))))/i assuming i is positive.
i**(-52/5)
Simplify (a/((a*a**(-3)/a)/a))**(-14/11)*(a/(a**10/a))/a**(-3/2) assuming a is positive.
a**(-283/22)
Simplify k**(-19)*k*k/(k**(2/23)*k)*k assuming k is positive.
k**(-393/23)
Simplify (r**(1/2))**(-13)/(r**2/r*r)**(-26/3) assuming r is positive.
r**(65/6)
Simplify ((k**5*k)/(k*(k/((k/(k/(((k*k**(-5)/k*k)/k)/k)))/k)*k)/k))**(-1/32) assuming k is positive.
k**(3/32)
Simplify ((q*q**(1/8)/q)/(q/((q*q**6)/q)))/(q**7*q*q**(-2/9)) assuming q is positive.
q**(-191/72)
Simplify t**(5/2)/t**(-11) assuming t is positive.
t**(27/2)
Simplify (d*d**(-1/5))**(-33)*d**(3/5)/d**(5/7) assuming d is positive.
d**(-928/35)
Simplify (l*l**(7/4))/l**(-2)*(l**(-1))**(-29/4) assuming l is positive.
l**12
Simplify ((a/(a*a/(a*a/(a*a/(a/((a*a**(1/4))/a*a))*a)*a))*a)**(-18))**(4/15) assuming a is positive.
a**(6/5)
Simplify (m**(-6)*m)/(m**(3/5)*m)*m/m**2*m**(-5) assuming m is positive.
m**(-63/5)
Simplify (f*f/f**0*f)/f**3*f/f**(-5)*f/(((f*f*f*f*f*f**(-1/2)*f*f*f)/f)/f) assuming f is positive.
f**(3/2)
Simplify (m/((m/(m*m**(2/9)))/m))**(-3/5) assuming m is positive.
m**(-4/3)
Simplify (r**(-2/9))**7/((r/((r*r/(r*r*r/(r**(-3/7)/r))*r)/r))/((r**(1/11)*r)/r)) assuming r is positive.
r**(-3391/693)
Simplify (g/g**(-25))/g**(2/11) assuming g is positive.
g**(284/11)
Simplify ((j/((j*j/((j*j**(3/8)*j)/j)*j)/j))/(j**0/j))/(((j/(j*(j/(j*j**(-2/5)))/j*j*j*j)*j*j)/j*j)/j**6) assuming j is positive.
j**(311/40)
Simplify ((m**(-1/12))**24)**(-30/7) assuming m is positive.
m**(60/7)
Simplify (n*n**(-13/3)/n)/n**24 assuming n is positive.
n**(-85/3)
Simplify (d/(d**(-4/3)/d))**(-1/18) assuming d is positive.
d**(-5/27)
Simplify (r/r**6*r)/(r/(r**(-7)/r))*((r*r*r*r**(-1/2))/r)/((r**(-8)/r)/r*r) assuming r is positive.
r**(-5/2)
Simplify j*j/j**(-23)*j/j**8 assuming j is positive.
j**18
Simplify ((w/(w/(w/w**(-26))))/w)**(-38) assuming w is positive.
w**(-988)
Simplify (h**(-2)/h)/h*(h/(h**(-9)/h))/h assuming h is positive.
h**6
Simplify u*u*u**0*u*u**(-2/11)*(u**(-2/3))**(-24) assuming u is positive.
u**(207/11)
Simplify a**(1/3)/a*a**(-1/6) assuming a is positive.
a**(-5/6)
Simplify ((n*n*n**2/n)**18)**23 assuming n is positive.
n**1242
Simplify (k**(2/3)*k*k)**(6/17)/(k**1)**(2/19) assuming k is positive.
k**(270/323)
Simplify ((y/(y*y/(y/y**3)))**28)**10 assuming y is positive.
y**(-840)
Simplify z**(2/23)/z**(-4)*z**(-1)*z**1 assuming z is positive.
z**(94/23)
Simplify (s**(1/18)/s)/(s/(s/(s/(s*s*(s*s*(s*s**(-1/7))/s)/s)))) assuming s is positive.
s**(115/126)
Simplify q/q**(-2/43)*q/(q/(q**8*q)) assuming q is positive.
q**(432/43)
Simplify ((y/y**0)/y)**(-4)/(y**(-1/3)*y)**(-1/53) assuming y is positive.
y**(2/159)
Simplify ((s/(s/s**(-3)*s))/s**0)/((s*s**(-2/5))/(s*s*s*s**(-6)*s*s)) assuming s is positive.
s**(-28/5)
Simplify (x*x*x**(2/11))/((x*x*(x/(x/x**(-6/7)))/x*x)/x*x)*(x**4*x)/x**3 assuming x is positive.
x**(234/77)
Simplify ((x*x**(-16)*x)/(x**(1/5)*x))**(1/52) assuming x is positive.
x**(-19/65)
Simplify z**17/(z*z/z**32) assuming z is positive.
z**47
Simplify ((a/(((a**(3/11)*a)/a*a)/a))/(a/a**1))**(-24) assuming a is positive.
a**(-192/11)
Simplify ((m**(-1/2)*m)/m*m)**(-45)*(m/(m**0*m))**(24/7) assuming m is positive.
m**(-45/2)
Simplify (((((k/k**(10/11)*k*k)/k)/k)/k)/(k**(-3/4)/k))**(-1/9) assuming k is positive.
k**(-37/396)
Simplify (q**(-9)/q)/q**13 assuming q is positive.
q**(-23)
Simplify (k/k**(1/3))**(3/20)*(k/k**(1/4))**(-22) assuming k is positive.
k**(-82/5)
Simplify p**(-1/6)/(p/(p*(p*p**(-1/2)/p)/p*p*p*p*p*p)) assuming p is positive.
p**(10/3)
Simplify ((o**(-2/35)/o)/o**(5/7))**(-2/77) assuming o is positive.
o**(124/2695)
Simplify (m**(4/7)*m**(2/9))/(m/(m**(-2)*m)*m*m/(m/m**(5/2))) assuming m is positive.
m**(-593/126)
Simplify n/((n*n**(-29)*n)/n)*n*n**(-3/11) assuming n is positive.
n**(327/11)
Simplify | {
"pile_set_name": "DM Mathematics"
} |
s(g) = g + 0*g + 0 + 0. Give s(c(j)).
-j**2
Let y(o) = 11*o**2 + 5. Let b(u) = 6*u**2 + 3. Let m(j) = -5*b(j) + 3*y(j). Let l(x) = 9*x. Calculate m(l(d)).
243*d**2
Let v(x) = x**2. Let p(u) = u + 1. Let m(b) = -7*b - 6. Let o = -6 - -7. Let h(z) = o*m(z) + 6*p(z). Determine v(h(a)).
a**2
Let g be 1/2 - (-6)/4. Let p(b) = -b - 3 + 3 + g*b. Let z(t) = 6*t + 4. Let w(u) = -7*u - 5. Let s(y) = 4*w(y) + 5*z(y). Determine s(p(l)).
2*l
Let t(p) = 14*p. Let r(l) = -7*l**2. Calculate t(r(v)).
-98*v**2
Let h(i) = -i**2 - 3*i. Let d(g) = -g. Let q(l) = 12*d(l) - 4*h(l). Let x(s) = 2*s**2. What is q(x(z))?
16*z**4
Let l(g) = -4*g**2. Let q(h) = 17*h - 1. Calculate l(q(o)).
-1156*o**2 + 136*o - 4
Suppose -4*o + 17 = -3*b, 0*b = -2*o - 4*b - 8. Let j(c) = -13*c - 2*c**o + 13*c. Let v(w) = 3*w. Give j(v(g)).
-18*g**2
Let h(u) be the first derivative of -u**2 - 1. Let f(c) = 2*c - 2*c - c. Calculate h(f(p)).
2*p
Let f(q) = -9*q**2. Let z(r) = 2*r + 10. Calculate f(z(h)).
-36*h**2 - 360*h - 900
Let x(i) = 1 - 1 - 4 + 3. Let b(z) = -18*z - 27. Let a(n) = b(n) - 27*x(n). Let c(l) = l. What is a(c(u))?
-18*u
Let g(j) = -6 + 14 - 9. Suppose 2*t + t = 5*f - 2, 2 = 5*t - 3*f. Let i(b) = -b - 4. Let n(k) = t*i(k) - 4*g(k). Let y(p) = -2*p. Calculate y(n(c)).
2*c
Let q(u) be the first derivative of u**3 - 3. Let v(j) be the second derivative of 5*j**4/12 + 3*j. Give q(v(g)).
75*g**4
Let d(u) = 2*u. Let c(r) = -269*r**2. What is d(c(h))?
-538*h**2
Let s(t) = -3706*t. Let v(z) = 2*z**2. What is v(s(i))?
27468872*i**2
Let f(v) = v - 17. Let j be f(12). Let x(r) = -r - 1. Let a(c) = 3*c + 4. Let m(b) = j*a(b) - 20*x(b). Let h(n) = -2*n. Give h(m(w)).
-10*w
Let i(m) = -3*m**2 - 13. Let r(a) = -22*a**2 - 3. Give r(i(s)).
-198*s**4 - 1716*s**2 - 3721
Let i(z) = 88*z - 26*z - 32*z - 32*z. Let r(n) = 9*n**2 + 5*n - 5. Let h(j) = -j**2 - j + 1. Let k(x) = -10*h(x) - 2*r(x). Determine i(k(u)).
16*u**2
Let t(n) = -14*n. Let d(h) = -2*h**2. What is t(d(p))?
28*p**2
Let w(p) be the second derivative of p**3/2 + 6*p. Let z(t) = 2*t**2. Determine w(z(o)).
6*o**2
Let i(c) = -6*c**2. Let t(n) = 9*n**2. Determine t(i(g)).
324*g**4
Let k(d) = d**2. Let h(v) = 2*v**2 + 4*v + 4. Let x(j) = -3*j**2 - 7*j - 7. Let y(t) = 7*h(t) + 4*x(t). Determine y(k(a)).
2*a**4
Let v(l) = 7*l**2 - 6. Let z(h) = 8*h**2 - 7. Let r(b) = -7*v(b) + 6*z(b). Let n(a) = 10*a**2. What is n(r(o))?
10*o**4
Let p(f) = -8*f**2 - 2*f. Let i(n) = -n. Give p(i(v)).
-8*v**2 + 2*v
Let q be (1 - 14/8)*-8. Let l(p) = -q*p - p + 5*p. Let i(a) = -a - 24 + 24 - 2*a. Calculate i(l(r)).
6*r
Let n(t) = t. Let w(x) be the second derivative of x + 1/2*x**3 + 0 + 0*x**2. Give w(n(g)).
3*g
Let y(l) = 5*l**2. Let f(q) be the first derivative of q**5/20 - q**2/2 - 7. Let p(t) be the second derivative of f(t). Give p(y(u)).
75*u**4
Let s(c) be the third derivative of 0*c**3 + 1/24*c**4 + 0*c + 0 + 2*c**2. Let d(a) be the first derivative of -a**2 - 2. Give s(d(p)).
-2*p
Let l(t) be the third derivative of t**4/24 + 19*t**2. Let p(g) = -40*g**2. Give p(l(j)).
-40*j**2
Let z(k) = 34*k**2. Let b(c) be the second derivative of -c**3/3 - c. Calculate b(z(y)).
-68*y**2
Let d(f) be the third derivative of -f**4/8 - 13*f**2. Let c(q) be the second derivative of -q**4/6 - q. Determine c(d(h)).
-18*h**2
Let l(m) = 4*m**2 - 3*m. Let s(q) be the first derivative of 7*q**3/3 - 5*q**2/2 + 2. Let n(d) = 5*l(d) - 3*s(d). Let v(t) = 2*t. Calculate n(v(i)).
-4*i**2
Let g(z) = -1836*z. Let j(p) = -2*p. Give j(g(f)).
3672*f
Let i(h) = 5*h. Let b(l) be the second derivative of 7*l**4/12 - 23*l. What is i(b(p))?
35*p**2
Let f(r) be the second derivative of -1/4*r**4 + 0*r**3 + 5*r + 0 + 0*r**2. Let a(h) = h. Determine f(a(p)).
-3*p**2
Let z(c) = 4*c. Let j(f) = 12*f. Let m(v) = 7*v. Let t(b) = -3*j(b) + 5*m(b). Calculate t(z(o)).
-4*o
Let w(i) = -i**2. Let j(r) = r - 1. Let s(l) = 11*l + 9. Let t(q) = 6*j(q) + s(q). Calculate w(t(v)).
-289*v**2 - 102*v - 9
Let g(k) = 9*k. Let d(b) = -b. Let t(m) = -6*d(m) - g(m). Let j(l) = l**2. Calculate t(j(v)).
-3*v**2
Let z(n) = 798*n**2. Let j(l) = 2*l**2. What is z(j(g))?
3192*g**4
Let c(g) = g**2. Let s = -10 + 24. Let n(z) = 4*z**2 - 5. Let v(q) = -12*q**2 + 14. Let u(a) = s*n(a) + 5*v(a). Give c(u(l)).
16*l**4
Let o(p) = -213*p. Let i(r) = 2*r**2. Determine o(i(n)).
-426*n**2
Let j(b) = -2*b**2. Let v(p) be the third derivative of 0*p**3 + 0 + 0*p**4 + 5*p**2 + 1/15*p**5 + 0*p. Calculate v(j(s)).
16*s**4
Let x(p) be the first derivative of -p**5/120 - 2*p**3/3 - 1. Let i(a) be the third derivative of x(a). Let s(b) = b + 0*b - 3*b + 5*b. What is s(i(g))?
-3*g
Let r(v) = -3*v. Let n(g) = -9*g + 14. Determine n(r(u)).
27*u + 14
Let i(v) = -2*v**2. Let j(o) = -11*o - 1. What is i(j(k))?
-242*k**2 - 44*k - 2
Let s(a) = 3 + a**2 - 3. Let t(i) be the first derivative of -9*i**2/2 - 108. Determine t(s(n)).
-9*n**2
Let o(s) = -2*s**2. Let d(a) = 636*a**2. Calculate d(o(p)).
2544*p**4
Let u(k) = k + k - 4*k. Let p(o) be the third derivative of -17*o**4/24 + 37*o**2. Calculate p(u(f)).
34*f
Let d(n) = 14*n - 11*n + 4 - 4. Let i be ((-2)/(2/(-3)))/1. Let u(w) = w**2 + 3*w - 3. Let v(j) = j**2 + j - 1. Let m(y) = i*v(y) - u(y). Give d(m(q)).
6*q**2
Let i(k) = 2*k + 199. Let w(r) = -4*r. Give i(w(p)).
-8*p + 199
Let v(g) = g. Let y(f) = 1775*f. Calculate y(v(c)).
1775*c
Let i(j) be the third derivative of -1/6*j**4 + 0 + 0*j - 2*j**2 + 0*j**3. Let g(s) = s. Let o(d) = -4*d. Let u(c) = 5*g(c) + o(c). Calculate u(i(t)).
-4*t
Let i(k) = -41 + 41 - 4*k. Let r(z) = -24*z. Give r(i(v)).
96*v
Let l(d) = -3*d. Let f(u) = 10*u. Let m(h) = h. Let k(c) = f(c) - 2*m(c). Determine k(l(t)).
-24*t
Let b(s) = -12*s**2. Let x(y) = y - 77. What is b(x(l))?
-12*l**2 + 1848*l - 71148
Let b(u) = 30*u**2 - 2*u. Let k(g) = 5*g - 6*g + g + g. Determine b(k(d)).
30*d**2 - 2*d
Let f(a) = 3*a. Let u(b) = -42*b. Let i(h) = 27*f(h) + 2*u(h). Let y(o) = -3*o. Let m(j) = 20*j. Let l(t) = 3*m(t) + 21*y(t). Give i(l(n)).
9*n
Let d(h) = h**2 - 2 + 2. Let f(b) = -3*b**2 + 5*b. Let s(y) = -y**2 + y. Let z be 50/4*(-12)/(-30). Let o(g) = z*s(g) - f(g). Calculate d(o(w)).
4*w**4
Let f(v) = -7*v + 2*v + 4*v. Suppose -h = 3, 0*x + 4*x = 2*h + 10. Let i(o) = -3*o**2 - x + 0 + 1. Give i(f(d)).
-3*d**2
Let v(k) = 2*k**2 - 5*k**2 + 4*k**2. Let f(p) be the first derivative of -5*p**3/3 + 2. What is v(f(q))?
25*q**4
Let n(z) = -88*z**2. Let t(h) = 3*h**2 + 6*h**2 - 11*h**2 + 4*h**2. Give n(t(x)).
-352*x**4
Let t(s) = 5*s**2 - 3. Let u(p) = -9*p**2 + 5. Let f(v) = 5*t(v) + 3*u(v). Suppose 0 = -3*h + 2 + 4. Let o(n) = -2 + h + n**2. Determine o(f(j)).
4*j**4
Let o(t) = t. Let q(v) = -v + 8. Let g be q(6). Let f(a) = a**2 + 0*a**g - 2*a**2. Determine f(o(d)).
-d**2
Let l(w) = 2*w**2 + 44*w. Let o(j) = j**2 - 293 + 293. Give l(o(f)).
2*f**4 + 44*f**2
Let t = -4 + 4. Let y(i) = i + t*i + i. Let g(k) = 2*k**2. Give g(y(p)).
8*p**2
Let m = 11 + -8. Let u(i) = i**2 + 8*i + 2. Let f be u(-8). Let h(a) = m*a - f*a + 2*a**2 - a. Let p(n) = 2*n**2. Calculate h(p(d)).
8*d**4
Let r(j) = -40*j + 3. Let w(n) = n. Calculate w(r(x)).
-40*x + 3
Let z(b) = -8*b**2 - 858 + 858. Let m(w) = -4*w + 5. Let f(p) = -3*p + 4. Let g(x) = 5*f(x) - 4*m(x). Determine z(g(i)).
-8*i**2
Let y(c) = 2*c + 88*c**2 - 82*c**2 - 2*c. Let z(q) = 0*q + 2*q - q. What is y(z(x))?
6*x**2
Let x(w) be the second derivative of w**4/6 + 7*w. Let t(r) = r. What is t(x(j))?
2*j**2
Let q(i) = -3*i**2. Let f(n) = n**2 + n + 1. Let b(v) = -3*v - 3. Let y(p) = b(p) + 3*f(p). What is q(y(s))?
-27*s**4
Let c(r) = -r**2 - 14*r - 11. Let i be c(-13). Let k(b) = -b**2 - b**2 + i*b**2 - 2*b**2. Let h(d) = 0*d - 6*d + 3*d. What is h(k(y))?
6*y**2
Suppose -4*f + 73 - 17 = 0. Let o(n) = 5*n - 14 + f. Let z(t) = 2*t. Give o(z(w)).
10*w
Let q(t) = 4*t. Suppose -4*y - 17 - 34 = -5*c, 3*c = -y + 34. Suppose -n + 0 = -11. Let d(x) = x - n + c. Calculate q(d(g)).
4*g
Let n(j) be the first derivative of -j**3/3 - 15. Let o(l) = -l + 2. Let q(r) = -3*r + 7. Let z(a) = 21*o(a) - 6*q(a). What is n(z(v))?
-9*v**2
Let q(j) = 5*j. Let d(t) = -t + 6. Give q(d(p)).
-5*p + 30
Let u(i) = -11*i + 10 - 10. Let h(b) = 2*b. Calculate h(u(j)).
-22*j
Let v(t) be the second derivative of -2*t**3/3 + 2*t. Let k(r) = -5*r**2. Let z(u) = u**2. Let c(q) = -k(q) | {
"pile_set_name": "DM Mathematics"
} |
127?
127
Which is smaller: 3/124 or 0?
0
Is 1 bigger than -3/59?
True
Are 2 and -802 non-equal?
True
Which is bigger: 1231 or 1233?
1233
Is 1 equal to 15?
False
Which is smaller: -301 or -272?
-301
Is 134 greater than -6/17?
True
Is -440 less than -440?
False
Which is smaller: 71 or -2/3?
-2/3
Which is greater: 43 or -5?
43
Which is bigger: 101 or 716/7?
716/7
Are -1 and 21/374 equal?
False
Which is greater: -1.15 or -2?
-1.15
Which is greater: 6/37 or 1?
1
Which is greater: -5705 or -11411/2?
-5705
Which is greater: 693 or 2/21?
693
Which is smaller: 0 or 1/284?
0
Is -1 >= -3113?
True
Which is greater: 46 or 134/3?
46
Which is smaller: -219 or 6?
-219
Is -343 <= -343?
True
Which is bigger: 0.22 or -1/217?
0.22
Is -1 > -0.005?
False
Is -69/10 equal to -6?
False
Is -3/2 smaller than -230?
False
Is 1 < 7/950?
False
Which is smaller: 159 or 8?
8
Which is bigger: 0 or 300?
300
Is -1 bigger than -1/47?
False
Which is smaller: 298 or 301?
298
Which is smaller: 2 or -3/13?
-3/13
Is 379 >= 405?
False
Which is greater: 34/35 or 1?
1
Are -542 and -1081/2 nonequal?
True
Are 0 and 92.25 non-equal?
True
Is 3 != 126?
True
Which is bigger: -1237 or -1239?
-1237
Is 6 <= 1586?
True
Is 1 greater than 7/2428?
True
Which is smaller: -1 or 7/340?
-1
Is 0.1 greater than or equal to 4629?
False
Is 435 at most 4?
False
Which is greater: 1 or -1/11496?
1
Which is smaller: -13 or 9?
-13
Which is greater: -1 or -5/18?
-5/18
Do 3.2 and 1.9 have the same value?
False
Which is smaller: -190 or -189?
-190
Is 2 smaller than -647?
False
Is 70 greater than -1?
True
Which is smaller: 1/50 or 0?
0
Which is smaller: -2.5 or 15?
-2.5
Is -2 < -25/22?
True
Which is greater: -47 or -73?
-47
Is -64/33 equal to -2?
False
Which is smaller: -2595 or -0.1?
-2595
Is 4414 at most 4414?
True
Is -61 greater than or equal to -27?
False
Is -1 greater than or equal to 8/17?
False
Is 220/3 != 74?
True
Is -7/389 less than or equal to 1?
True
Which is greater: -1/41298 or 0?
0
Which is smaller: 107 or 111?
107
Is 484/5 less than 97?
True
Are 4 and -3/2 equal?
False
Which is greater: -124 or -119?
-119
Which is smaller: 3 or 240/77?
3
Are 1 and 2/1811 equal?
False
Is 2 greater than 31/18?
True
Which is smaller: -5/14 or -1/4?
-5/14
Are -7 and 46 unequal?
True
Which is greater: 5421 or -2/7?
5421
Which is bigger: 210 or 3381/16?
3381/16
Is -30 at least 113?
False
Is -1 greater than or equal to -3/1159?
False
Is 0.09 greater than 0.6?
False
Which is greater: 132 or 133?
133
Which is greater: -35 or -49?
-35
Which is bigger: -1318 or -1317?
-1317
Which is bigger: 54 or -9?
54
Is 15289 >= 76441/5?
True
Do 46 and -1 have the same value?
False
Which is greater: 0 or -2/795?
0
Which is smaller: -0.4249 or 1?
-0.4249
Which is smaller: -287/3 or -96?
-96
Which is bigger: 568 or 1133/2?
568
Which is smaller: 150 or 37?
37
Which is smaller: 419/4 or 106?
419/4
Is -134 greater than -136?
True
Do 14/13 and 20 have different values?
True
Which is smaller: 4 or 35?
4
Which is smaller: 3 or 47/96?
47/96
Which is bigger: -1/8 or -1?
-1/8
Is 514/61 > 9?
False
Is -409 bigger than -819/2?
True
Which is smaller: 110 or -0.5?
-0.5
Is -323/5 > -66?
True
Which is smaller: 182 or 191?
182
Which is smaller: -2/5 or 14/19?
-2/5
Which is smaller: 696 or 698?
696
Is 1 bigger than -14/265?
True
Does 133 = -1?
False
Which is smaller: 0 or 2/47?
0
Is -1604 bigger than -1605?
True
Is 0 less than or equal to -1/1455?
False
Are -0.0085 and 1/2 nonequal?
True
Is -1 <= -22/1501?
True
Which is smaller: -153 or -159?
-159
Which is bigger: 14 or 35?
35
Are 5/69 and -0.5 equal?
False
Which is smaller: -1 or -6/3319?
-1
Is 2171 at least as big as 2172?
False
Is 4140 at least 4140?
True
Is -7566 greater than -52964/7?
True
Which is smaller: 6 or 168/25?
6
Which is smaller: 10416 or 0.1?
0.1
Is 0 greater than or equal to 3/4736?
False
Which is smaller: 1 or 30/791?
30/791
Is -2/583 less than 0?
True
Are 6429 and 6429 equal?
True
Is 11092 < 11093?
True
Is -39.9 < 2?
True
Which is smaller: -91 or -77?
-91
Which is smaller: 2845/4 or 710?
710
Is -4933 at least -4932?
False
Is -0.06 greater than or equal to -0.31?
True
Which is smaller: -452 or -450?
-452
Which is bigger: 41 or 35?
41
Is 116 bigger than 118?
False
Which is smaller: 3243 or 22705/7?
3243
Are -63 and -63 equal?
True
Which is smaller: 11971 or 11970?
11970
Are -42 and -46 equal?
False
Which is greater: -1 or -3/1183?
-3/1183
Which is smaller: 15 or 17?
15
Which is bigger: -0.0217 or 30?
30
Which is greater: 1 or 2/1071?
1
Which is greater: -1040 or -1038?
-1038
Is 1624/5 bigger than 326?
False
Which is greater: -664/7 or -96?
-664/7
Is -210 > -208?
False
Do 1 and 94/391 have the same value?
False
Are -3877/3 and -1293 unequal?
True
Which is greater: 20 or -10?
20
Which is smaller: -96 or -89?
-96
Is 2/5 > -472?
True
Which is smaller: -302 or -1203/4?
-302
Is -1/257 at least as big as 0?
False
Is 0.0026 smaller than 3?
True
Which is smaller: 2 or 0.9?
0.9
Which is bigger: -41 or 0?
0
Is -8/575 not equal to -1?
True
Which is greater: -6/103 or -1?
-6/103
Do 1 and -1/52 have the same value?
False
Which is bigger: 55 or 54?
55
Does -1/662 = 1?
False
Is -133 at least -141?
True
Are 107 and -19 nonequal?
True
Do -4239 and -4243 have different values?
True
Which is smaller: 0.34 or -11?
-11
Which is greater: -4 or -49/17?
-49/17
Is -0.12 > -2/9?
True
Is 1 bigger than -1/1595?
True
Is -3694 at least as big as -3695?
True
Which is bigger: -352 or -4585/13?
-352
Which is smaller: -5856 or -5858?
-5858
Which is smaller: 1 or 1/209?
1/209
Which is bigger: 1/3 or -33862?
1/3
Which is greater: 66 or 59?
66
Is 28480 greater than -2?
True
Which is smaller: 31 or 123?
31
Are 0 and -0.267 non-equal?
True
Which is greater: 14/17 or 0?
14/17
Which is greater: -205 or 14/3?
14/3
Is -2467 less than or equal to -2469?
False
Is -1 greater than or equal to -20/77?
False
Is 22 bigger than -14/3?
True
Which is bigger: 63 or -65?
63
Which is smaller: -4.2 or 3.9?
-4.2
Is -8981 at least as big as -8981?
True
Which is smaller: -21 or -17?
-21
Is -1/15 < -1?
False
Which is bigger: -864/35 or -24?
-24
Which is smaller: -3605 or -3607?
-3607
Which is smaller: 12 or 180/17?
180/17
Which is smaller: 157/17 or 8?
8
Do 2711 and 2712 have different values?
True
Which is bigger: -5222 or -5223?
-5222
Does 743 = 746?
False
Which is smaller: -1/9 or 1?
-1/9
Is 868/13 >= 67?
False
Are 1 and 286 equal?
False
Is 82 at least as big as -15?
True
Which is greater: 0.6 or 29/14?
29/14
Is 94 bigger than 94?
False
Is 1 less than or equal to -7?
False
Is 0 less than 5/2196?
True
Which is greater: 40 or 39?
40
Which is smaller: 90 or 19?
19
Which is smaller: 649/3 or -0.1?
-0.1
Is -8 bigger than 300?
False
Do 10/9 and 1379 have different values?
True
Is -3 at least as big as 4/143?
False
Which is smaller: 246 or 239?
239
Which is smaller: -39 or -133?
-133
Is 32/341 bigger than -1?
True
Is -1/5 greater than or equal to 61?
False
Which is bigger: -72.7 or -0.1?
-0.1
Which is greater: -1/7 or -0.084?
-0.084
Which is smaller: -159/10 or -15?
-159/10
Is 0.05 equal to -3/134?
False
Which is greater: -47/67 or 0?
0
Which is bigger: -21 or -2?
-2
Which is greater: -464/53 or -8?
-8
Which is smaller: 1411 or 1413?
1411
Which is smaller: 15 or 32?
15
Which is bigger: -290 or -284?
-284
Which is greater: -39/212 or -1?
-39/212
Is -0.3 at least -23.9?
True
Is 21398 smaller than 21398?
False
Which is greater: 45/2 or 24?
24
Which is greater: -2/17363 or -1?
-2/17363
Which is bigger: -99 or -493/5?
-493/5
Does -5.4 = -1/3?
False
Is 1 bigger than 8/5745?
True
Which is smaller: -1/4637 or -1?
-1
Which is bigger: -33 or -151?
-33
Which is smaller: -8 or -370?
-370
Which is smaller: 4/61 or 4?
4/61
Are -42 and -303/7 non-equal?
True
Which is bigger: 252 or 262?
262
Is 33 less than 33?
False
Is -8168 >= -2?
False
Which is smaller: 2/1871 or -1?
-1
Which is bigger: -1 or -9/527?
-9/527
Which is bigger: 0 or 9/283?
9/283
Which is smaller: 15280 or 15278?
15278
Do 36821 and 36820 have the same value?
False
Which is greater: -1/293 or 0?
0
Which is bigger: -0.03 or -0.029?
-0.029
Is 519 at most as big as -4?
False
Is -183 smaller than -180?
True
Which is bigger: -97 or -120?
-97
Which is bigger: -11/21 or 0.1?
0.1
Is -37 at most as big as -31?
True
| {
"pile_set_name": "DM Mathematics"
} |
n)/1 + 1. Find the first derivative of 1 - 15*h**3 + h**3 + r*h**3 wrt h.
-42*h**2
Let y(c) be the first derivative of 36 + 1/2*c**2 - 1/4*c**4 + 2*c**3 - 3*c. Find the second derivative of y(x) wrt x.
-6*x + 12
Suppose -4*y + m = -3, -28 = y - 5*m - 5. Find the second derivative of y - 10*b - 8*b**2 - 9*b**2 + 0 - 6*b**2 wrt b.
-46
What is the second derivative of -26076*j**3 - 31 - 2*j + 4*j + 25980*j**3 wrt j?
-576*j
Let j(o) be the third derivative of -o**7/210 + 23*o**6/15 + o**5/30 - 61*o**3/3 + 314*o**2. Find the third derivative of j(d) wrt d.
-24*d + 1104
Differentiate 68*t**2 - 62*t**2 + 6*t + 2 - 71 wrt t.
12*t + 6
Suppose -2*t = -2*k + 8, -3*k + 5*k = -2. Let g = t - -7. What is the second derivative of -3*m + 7*m + g*m**4 - 10*m**4 - m**4 wrt m?
-108*m**2
Let l(v) be the second derivative of -3*v**7/14 - 7*v**6/30 + 63*v**4/2 - 13*v - 5. Find the third derivative of l(g) wrt g.
-540*g**2 - 168*g
Suppose 1 + 3 = s. Suppose -w - 11 = -4*r, r + 3*w = -r + 9. What is the third derivative of 2*d**5 + 0*d**4 + 0*d**5 + 0*d**s + r*d**2 wrt d?
120*d**2
Let l(x) = x**3 - 2*x**2 + x - 1. Let k(a) = -68*a**4 + 4*a**3 - 7*a**2 + 3*a - 85. Let z(m) = 2*k(m) - 6*l(m). What is the third derivative of z(f) wrt f?
-3264*f + 12
Let d(z) be the first derivative of 4*z**5/5 - 15*z**4/4 + z**3 + 68. Find the third derivative of d(n) wrt n.
96*n - 90
Let i = -6 + 5. Let l(h) = 0*h + 133*h**2 - h - 134*h**2. Let n(d) = -7*d**2 - 6*d - 3. Let q(o) = i*n(o) + 6*l(o). Differentiate q(j) with respect to j.
2*j
Let f(c) be the third derivative of 49*c**6/24 + 91*c**5/30 - 150*c**2. Find the third derivative of f(a) wrt a.
1470
What is the third derivative of -58*j**6 - 547*j**2 - 2*j + 277*j**2 + 271*j**2 wrt j?
-6960*j**3
Find the third derivative of -79*q**2 - 1458*q**4 + 1458*q**4 + 23*q**6 wrt q.
2760*q**3
Let s(a) be the third derivative of -23*a**7/70 - 13*a**5/20 - 2*a**2 + 70. Find the third derivative of s(w) wrt w.
-1656*w
Let m = 29 - 29. What is the second derivative of 4*t + 4*t - 10*t**2 + m*t + 21*t**2 wrt t?
22
Let g(f) = -f**4 + f**3 + f - 1. Let m(v) = 45*v**5 - 2*v**4 - 3*v**3 + 17*v**2 - 3*v + 1. Let r(p) = 3*g(p) + m(p). Find the third derivative of r(a) wrt a.
2700*a**2 - 120*a
Suppose 0*p = p - 4, 0 = 4*a - 4*p. Find the second derivative of 8*t**5 - 27*t - 3343*t**a + 3343*t**4 wrt t.
160*t**3
What is the derivative of -2405*b + 1351*b + 1361*b - 532 wrt b?
307
Let q = 4 - 1. What is the third derivative of -2*w**3 + w**3 - w**3 + 2*w**2 + 10*w**q wrt w?
48
Let f(q) = -q**2 + 1. Suppose 0 = -0*x - 5*x - 5. Let s(n) = -13*n**2 + 11*n + 1. Let g(u) = x*s(u) + f(u). Find the second derivative of g(w) wrt w.
24
Let o = 17 + -7. Let l be o*(0/4 - -1). Find the second derivative of 5*z**2 - 5*z**2 - 143*z + 135*z - l*z**3 wrt z.
-60*z
Let d(k) = -2*k**3 - 2*k - 1. Let n(q) = 18*q**3 - 17*q**2 - 364*q + 8. Let z(b) = 8*d(b) + n(b). Find the second derivative of z(u) wrt u.
12*u - 34
Let w(u) be the second derivative of -25*u**7/42 + 38*u**4/3 - u**3/6 - 54*u. Find the third derivative of w(t) wrt t.
-1500*t**2
Find the third derivative of -105*d**3 - 28*d**3 - 12 + 5*d**2 - 96*d**3 + 55*d**3 wrt d.
-1044
Let v(y) be the second derivative of 4*y + 0 + 0*y**4 + 0*y**3 - 3/10*y**5 - 17/2*y**2. Differentiate v(w) wrt w.
-18*w**2
Let l = -72/23 - -4343/1380. Let b(d) be the third derivative of 5*d**2 + 0 + 1/3*d**3 + l*d**5 + 0*d + 0*d**4. Differentiate b(p) wrt p.
2*p
Let r(p) = -2*p**3 - 586*p**2 + 532*p. Let w(v) = -2*v**3 - 587*v**2 + 531*v. Let x(j) = 5*r(j) - 6*w(j). What is the second derivative of x(c) wrt c?
12*c + 1184
Let a(m) be the third derivative of 11*m**6/60 - m**5/30 + 29*m**3/2 + 56*m**2. Differentiate a(r) with respect to r.
66*r**2 - 4*r
Let x(g) be the first derivative of 0*g**3 + 0*g**5 + 7/3*g**6 + 0*g + 4 - 6*g**2 + 0*g**4. Find the second derivative of x(z) wrt z.
280*z**3
Let g = -31 - -38. Let v(m) = -12*m**2 + 3*m. Let w(n) = -n**3 + 24*n**2 - 7*n. Let z(o) = g*v(o) + 3*w(o). Find the third derivative of z(u) wrt u.
-18
Let h(z) be the first derivative of -25*z**2/2 + 112*z - 46. Differentiate h(f) wrt f.
-25
Let d(y) = -10 + 8*y**2 - 23 + 25*y**2 + 0*y**2. Let j(l) = 16*l**2 - 16. Let t(z) = -6*d(z) + 11*j(z). Differentiate t(q) with respect to q.
-44*q
Let f(m) = 17*m**2 - 3*m + 2. Let n be f(1). What is the second derivative of -a**2 - 4*a**2 - n*a + 14*a wrt a?
-10
Let j be 3 + 0 - (-3)/(-3). Let t(z) = 5*z - 5. Let w be t(j). Find the third derivative of -w*n**2 + 4*n**2 + 13*n**4 - 16*n**4 wrt n.
-72*n
Let u = 14 - 18. Let i be 32/14 - u/(-14). Find the second derivative of 3*b**i - 2*b - 2*b - b**2 wrt b.
4
Let g(t) = -t**3 + 6*t**2 + t - 1. Let n(q) = 250*q**4 + 7*q**3 + 3*q**2 - 6*q + 6. Let d(y) = -6*g(y) - n(y). Find the third derivative of d(x) wrt x.
-6000*x - 6
Find the third derivative of 29 - 97*x**3 + 97*x**3 - 13*x**6 + 22*x**6 - 2*x**2 wrt x.
1080*x**3
What is the second derivative of 0*g**2 - g**2 + 98*g**5 - 139*g**5 - 45*g - 33*g + 63*g**5 wrt g?
440*g**3 - 2
Let h(q) = -493*q**4 + 2*q**3 - 657*q**2 + 4*q - 2. Let u(p) = p**3 - p**2 + 2*p - 1. Let a(w) = -h(w) + 2*u(w). What is the third derivative of a(l) wrt l?
11832*l
Let c(p) = -15*p**3 + 11*p**2 - 245*p + 726. Let u(l) = -3*l**3 + 2*l**2 - 49*l + 145. Let k(t) = -2*c(t) + 11*u(t). What is the derivative of k(j) wrt j?
-9*j**2 - 49
Let k(x) = 115*x**4 - 6*x**3 + 58*x**2 - 6*x + 4. Let c(v) = -v**4 - v**3 - v**2 - v + 1. Let y(q) = -6*c(q) + k(q). What is the third derivative of y(t) wrt t?
2904*t
Find the first derivative of -57*d**4 + 40 - 11 - 25*d**4 wrt d.
-328*d**3
Let r(l) be the third derivative of -16*l**7/7 - l**4/24 - 47*l**3/6 - 221*l**2. What is the second derivative of r(z) wrt z?
-5760*z**2
Let p(y) be the second derivative of 107*y**3/3 - 36*y**2 - y - 97. Find the first derivative of p(q) wrt q.
214
Let d be (-888)/(-840) + (-1)/(-7). Let k(c) be the first derivative of 0*c**3 + d*c**5 - 2 + 0*c**4 - 3*c**2 + 0*c. Find the second derivative of k(m) wrt m.
72*m**2
Let x(p) be the second derivative of 2*p**7/21 + p**5/2 + p**3/2 + 93*p**2/2 - 36*p + 4. Find the second derivative of x(c) wrt c.
80*c**3 + 60*c
Suppose 2*b + 5 = i + b, 3*i - 15 = 5*b. Suppose 0 = q - 0 - 3. Find the first derivative of 3*t**3 - 2*t**3 + 8 + i*t**q - 3 wrt t.
18*t**2
Let f(h) be the first derivative of -h**6/3 + 39*h**5/5 - 3*h**2/2 + 11*h - 219. What is the second derivative of f(d) wrt d?
-40*d**3 + 468*d**2
Let y(s) be the first derivative of 0*s**2 + 4 - 31/5*s**5 + 0*s**3 + 37*s + 0*s**4. What is the first derivative of y(w) wrt w?
-124*w**3
Suppose z - 2 = -2*r, -r + 4*z + 10 = -0*r. Suppose -r*i - 5 = -21. What is the second derivative of -i*c**5 + 0*c + 7*c + 5*c wrt c?
-160*c**3
Let f = -5 - -5. Suppose f = -5*x - 25, -4*l + 0*x - x = -19. Find the second derivative of -l*g + 0*g**5 + 0*g**5 + 5*g**5 - g**5 wrt g.
80*g**3
Let k(b) be the first derivative of -92*b**3 + 359*b - 284. Differentiate k(q) wrt q.
-552*q
Suppose 7*z = 6 + 8. Find the second derivative of 4*p**3 - 3*p**2 - 5*p**2 + 13*p + 8*p**z wrt p.
24*p
Let m(a) = 146*a**4 + 10*a - 147. Let u(h) = 73*h**4 + 4*h - 73. Let q(n) = -2*m(n) + 5*u(n). Differentiate q(b) with respect to b.
292*b**3
Let w(s) = 276*s**5 - 12*s**3 + 7*s**2 - 34*s - 6. Let k(i) = 2*i**3 - i**2 - i + 1. Let p(f) = 6*k(f) + w(f). Find the third derivative of p(t) wrt t.
16560*t**2
Let z = 150 - 146. Let r(d) be the third derivative of -2*d**2 + 0*d + 0 + 1/8*d**z - 1/3*d**3. Differentiate r(o) wrt o.
3
Suppose -5*g + 6 = -3*g. Let f(m) = 4*m**2 + 1. Let l(b) = 7*b**2 - 2*b**2 - b**2. Let a(k) = g*l(k) - 4*f(k). What is the first derivative of a(v) wrt v?
-8*v
Let w(c) be the second derivative of -c**4/12 - 2*c**3 + 5*c**2/2 + 8*c. Let u be w(-12). Find the first derivative of -4 + 4*t**4 - u*t**4 - 3*t**4 wrt t.
-16*t**3
Let j(k) = k**2 + 6*k - 1. Let o(s) = -301*s**2 + 22*s + 11. Let m(r) = -2*j(r) + o(r). What is the second derivative of m(w) wrt w?
-606
Let a = 10 + -6. Suppose 0 = -2*f + a + 4. Differentiate 4 + f*k**4 + 7*k**4 - 5*k**4 wrt k.
24*k**3
Find the third derivative of 16*c - 15*c - 5*c**3 - 22*c**3 - 7*c**2 wrt c.
-162
Let p(k) = 6*k**2 - k. Let j be p(1). What is the first derivative o | {
"pile_set_name": "DM Mathematics"
} |
35/143
Four letters picked without replacement from {i: 2, u: 4, a: 2, h: 1}. What is prob of picking 2 a, 1 h, and 1 i?
1/63
Three letters picked without replacement from hhahhwhhhhhhah. Give prob of picking 2 h and 1 w.
55/364
What is prob of picking 1 j and 1 c when two letters picked without replacement from dcicji?
2/15
Three letters picked without replacement from tcbtytct. Give prob of picking 2 t and 1 y.
3/28
Two letters picked without replacement from {s: 5, o: 2}. What is prob of picking 2 s?
10/21
Three letters picked without replacement from frftw. What is prob of picking 1 f, 1 w, and 1 r?
1/5
Calculate prob of picking 1 v, 1 m, and 1 l when three letters picked without replacement from vltztttqmtmmzztzttmt.
1/285
Two letters picked without replacement from mslmsblbsmssbllccc. Give prob of picking 2 l.
2/51
Two letters picked without replacement from {k: 5, g: 7, z: 1, t: 1}. What is prob of picking 2 k?
10/91
What is prob of picking 2 r when two letters picked without replacement from ebbbbbrbbbrbe?
1/78
Three letters picked without replacement from {c: 2, v: 6, k: 1, j: 2, l: 3}. Give prob of picking 2 j and 1 v.
3/182
Four letters picked without replacement from {b: 4, k: 1, v: 8}. What is prob of picking 3 b and 1 v?
32/715
What is prob of picking 3 y when three letters picked without replacement from {y: 5, s: 11}?
1/56
What is prob of picking 3 y when three letters picked without replacement from cmjvbbyyjbym?
1/220
Three letters picked without replacement from {n: 1, t: 2, o: 3, i: 7, g: 5}. What is prob of picking 1 o and 2 g?
5/136
Calculate prob of picking 1 d and 1 v when two letters picked without replacement from {l: 1, d: 2, c: 1, w: 1, v: 1, r: 2}.
1/14
What is prob of picking 3 k when three letters picked without replacement from kckknkwwwkkwwwcwkn?
35/816
Three letters picked without replacement from {n: 4, m: 15}. What is prob of picking 1 n and 2 m?
140/323
Four letters picked without replacement from {c: 2, j: 4, i: 2, g: 1, m: 2, z: 3}. What is prob of picking 1 z, 2 m, and 1 g?
3/1001
Two letters picked without replacement from {l: 3, p: 13, k: 1}. What is prob of picking 1 l and 1 k?
3/136
Calculate prob of picking 1 q and 1 x when two letters picked without replacement from {x: 1, a: 11, q: 2}.
2/91
Four letters picked without replacement from {y: 6, r: 4, u: 4}. What is prob of picking 2 r, 1 y, and 1 u?
144/1001
Calculate prob of picking 1 k and 1 s when two letters picked without replacement from qzkqqqpqqzqzqqzsqqp.
1/171
Calculate prob of picking 1 q and 1 v when two letters picked without replacement from {o: 4, p: 2, v: 2, q: 8}.
2/15
Two letters picked without replacement from araqabbqbra. Give prob of picking 1 r and 1 q.
4/55
Calculate prob of picking 3 o when three letters picked without replacement from ooo.
1
Two letters picked without replacement from wxwaa. Give prob of picking 2 a.
1/10
Three letters picked without replacement from tnttnttnnttgt. What is prob of picking 1 g, 1 n, and 1 t?
16/143
Three letters picked without replacement from {o: 2, f: 15, r: 3}. What is prob of picking 3 f?
91/228
Four letters picked without replacement from {v: 9, o: 10}. What is prob of picking 4 v?
21/646
Three letters picked without replacement from hhhhhsskhssskhhh. What is prob of picking 1 s, 1 h, and 1 k?
9/56
What is prob of picking 1 q and 1 b when two letters picked without replacement from {z: 2, h: 1, q: 3, b: 4}?
4/15
Four letters picked without replacement from ggjgjjjgggjjggjg. Give prob of picking 4 j.
1/52
Three letters picked without replacement from jifijeeefffeeejij. What is prob of picking 3 e?
1/34
Four letters picked without replacement from nmmnnn. Give prob of picking 3 n and 1 m.
8/15
Calculate prob of picking 2 e when two letters picked without replacement from hkeeb.
1/10
Calculate prob of picking 2 z and 1 y when three letters picked without replacement from {y: 2, i: 9, z: 4, c: 3}.
1/68
Three letters picked without replacement from {b: 7, v: 5}. Give prob of picking 3 v.
1/22
Two letters picked without replacement from {z: 4, k: 1, d: 9}. What is prob of picking 1 z and 1 k?
4/91
Calculate prob of picking 1 f, 2 w, and 1 o when four letters picked without replacement from fhflwfhfwufhfofohffu.
6/1615
Two letters picked without replacement from mbbpppp. Give prob of picking 1 m and 1 b.
2/21
Three letters picked without replacement from {u: 12, y: 6}. Give prob of picking 2 y and 1 u.
15/68
Four letters picked without replacement from {r: 3, x: 9}. What is prob of picking 3 r and 1 x?
1/55
Three letters picked without replacement from uleus. What is prob of picking 1 l, 1 e, and 1 u?
1/5
What is prob of picking 1 e and 1 q when two letters picked without replacement from eqx?
1/3
What is prob of picking 1 f and 2 a when three letters picked without replacement from {a: 6, f: 2, l: 4}?
3/22
Two letters picked without replacement from maoxa. Give prob of picking 1 m and 1 x.
1/10
Calculate prob of picking 2 u, 1 h, and 1 v when four letters picked without replacement from hdvuubb.
1/35
Calculate prob of picking 1 i and 1 d when two letters picked without replacement from {j: 3, i: 10, d: 2}.
4/21
Two letters picked without replacement from {a: 9, c: 5}. What is prob of picking 2 c?
10/91
Three letters picked without replacement from {v: 6, q: 12}. Give prob of picking 2 q and 1 v.
33/68
What is prob of picking 1 x and 1 k when two letters picked without replacement from ppwpxpddpdkxxdppwpjk?
3/95
Two letters picked without replacement from {i: 1, t: 3, y: 1, z: 1, x: 1}. What is prob of picking 1 x and 1 z?
1/21
Three letters picked without replacement from qfuzzsfqquzuqhq. What is prob of picking 1 z, 1 s, and 1 f?
6/455
Three letters picked without replacement from wbghgbhxhglghhg. Give prob of picking 1 g, 1 x, and 1 l.
1/91
Calculate prob of picking 1 y and 1 h when two letters picked without replacement from rrzzmzzmyyhkyzz.
1/35
Calculate prob of picking 2 j when two letters picked without replacement from {b: 5, j: 7}.
7/22
Three letters picked without replacement from {x: 3, f: 1, q: 3, m: 7}. What is prob of picking 2 m and 1 x?
9/52
Calculate prob of picking 2 g when two letters picked without replacement from eeeeeeggegegggggggee.
9/38
Two letters picked without replacement from tcchf. Give prob of picking 1 f and 1 h.
1/10
What is prob of picking 2 h and 1 v when three letters picked without replacement from {v: 4, z: 3, h: 4, i: 4, t: 1}?
3/70
Four letters picked without replacement from {n: 9, l: 1, z: 1}. Give prob of picking 2 z and 2 n.
0
Two letters picked without replacement from {q: 1, b: 5, j: 1, d: 3}. What is prob of picking 2 j?
0
Two letters picked without replacement from tvtuuvttuurvutttu. Give prob of picking 2 u.
15/136
Three letters picked without replacement from {e: 2, b: 5, n: 2, k: 6, a: 1, u: 1}. What is prob of picking 1 u, 1 e, and 1 a?
1/340
Calculate prob of picking 1 e and 1 d when two letters picked without replacement from eebibidbeeb.
4/55
What is prob of picking 1 s and 1 w when two letters picked without replacement from {s: 2, w: 7}?
7/18
Four letters picked without replacement from {b: 7}. What is prob of picking 4 b?
1
Four letters picked without replacement from {f: 3, b: 1, g: 1, v: 2}. What is prob of picking 1 v, 2 f, and 1 b?
6/35
Calculate prob of picking 1 k and 1 e when two letters picked without replacement from {f: 2, e: 2, x: 1, w: 1, k: 2}.
1/7
Two letters picked without replacement from {x: 17, h: 2}. What is prob of picking 1 x and 1 h?
34/171
Two letters picked without replacement from {x: 2, w: 4, n: 2, y: 1}. Give prob of picking 2 w.
1/6
Two letters picked without replacement from {k: 1, j: 1, n: 1}. What is prob of picking 1 j and 1 n?
1/3
What is prob of picking 1 d and 1 i when two letters picked without replacement from {k: 5, d: 1, i: 2, v: 1}?
1/18
Three letters picked without replacement from {l: 2, c: 3}. What is prob of picking 2 l and 1 c?
3/10
Two letters picked without replacement from dudpdddppdtd. What is prob of picking 1 t and 1 d?
7/66
Three letters picked without replacement from {p: 1, w: 2, o: 3, x: 1, f: 1, h: 3}. What is prob of picking 1 h, 1 p, and 1 w?
2/55
Calculate prob of picking 2 | {
"pile_set_name": "DM Mathematics"
} |
*c)))*c)/c))/(c/(c/(c/c**(-1)))))/(c**8*c**13/c*c))**1 assuming c is positive.
c**(-27)
Simplify ((y**(-9)/y)/(y*y**(-1/34)*y*y))/(y**15*y**(-12)/y) assuming y is positive.
y**(-509/34)
Simplify (((t*t/(t**(-1)/t*t*t)*t)/t*t)/((t/(t/t**(-1/2)*t))/t)*(t**(1/2))**(-3/29))**(1/42) assuming t is positive.
t**(79/609)
Simplify q**(-8)/(q/(q**(1/4)*q))*(q**7/q)**17 assuming q is positive.
q**(377/4)
Simplify k**(-2/3)/(k**(-2/5)/k)*k**(-9)/k*k**(-5/2) assuming k is positive.
k**(-353/30)
Simplify ((n/(n**(-5)/n))/n)/(n/(n*n**(-1/3)*n))*n/(n*n/(n**(-10)/n))*n*(n**(-3)/n)/n*n assuming n is positive.
n**(-25/3)
Simplify (j/j**(-1/3))**(-35/3)/((j/(j*j**(-1))*j)/j**7) assuming j is positive.
j**(-95/9)
Simplify x**(-2/21)*x/(x/x**(-2)*x)*x*(x*x**2)**(-2/11) assuming x is positive.
x**(-610/231)
Simplify (s/(s/(s**(3/5)*s)))/s**(2/83)*s**(1/10)*s*s/(s/s**(-1/16))*s assuming s is positive.
s**(23993/6640)
Simplify ((d**(-7)*d*d)/((d/d**(-11))/d)*d**(-7)*d*d**(2/7))**11 assuming d is positive.
d**(-1672/7)
Simplify ((w*w/(w/w**(2/37)))**(-45))**(35/4) assuming w is positive.
w**(-61425/148)
Simplify ((c*c**(-1))/c)**50/(c**(1/9)*c/(c*c**(-2/15)*c)) assuming c is positive.
c**(-2216/45)
Simplify (u*(u/((u/(u*(u/u**(-1))/u)*u)/u))/u*u*u*u)/(u/(u/(u**(-1/17)/u*u)*u))*(u/u**3)**(-6) assuming u is positive.
u**(307/17)
Simplify ((a**13)**(3/2))**(2/3) assuming a is positive.
a**13
Simplify ((((s*(s/(s*s/(s*s/((s/(s**(1/2)/s))/s*s)*s)*s*s))/s)/s)/s)/s)**8/(s**(-1/3))**14 assuming s is positive.
s**(-94/3)
Simplify ((w/(w/(w/(w/w**(-37)))))/((w*((w/w**(-1/36)*w)/w)/w)/w))/(w**(2/45)/w*(w*w*w**(-12)*w)/w*w) assuming w is positive.
w**(-4873/180)
Simplify ((x**(1/4))**38/((x*(x**(1/2)*x)/x*x)/x**(-1/9)))**(-4) assuming x is positive.
x**(-248/9)
Simplify x**(-1/6)/x*x**(-3/2)*x*(x**28)**36 assuming x is positive.
x**(3019/3)
Simplify ((g*g**(-13))/(g/(g*g**(1/5))))/(g**19/(g*g**(-2/7))) assuming g is positive.
g**(-1053/35)
Simplify (y**7/((((((y*y/(y**(1/23)*y))/y)/y)/y)/y)/y))/(((y/(y*y*y/(y**(-17)/y))*y)/y*y)/(y/(y/y**24*y))) assuming y is positive.
y**(1220/23)
Simplify ((h*h**(-1/24)*h)**(-1/40))**(-38) assuming h is positive.
h**(893/480)
Simplify ((q**(-22)*q**12/q)**45)**(2/11) assuming q is positive.
q**(-90)
Simplify (q**(-1/3)/(q**(-29)/q))/(q**(-3))**38 assuming q is positive.
q**(431/3)
Simplify (((((k*k**(-3)*k)/k)/k)/k**(1/2))/((k**(-1/4)/k)/k)**31)**24 assuming k is positive.
k**1590
Simplify (r**(-2)*r)/r**(5/4)*(r**3*r)**(-32) assuming r is positive.
r**(-521/4)
Simplify d**6/d**(3/7)*(d*d/d**(2/3)*d)**(-3/7) assuming d is positive.
d**(32/7)
Simplify (q*q/(q**(4/3)*q))**(-25)/(q**1)**(3/29) assuming q is positive.
q**(716/87)
Simplify (j/(j*j**(3/4)/j)*j)**(-9/8)/(j**(-1/6)*(j*j**4)/j) assuming j is positive.
j**(-503/96)
Simplify (n**(-1/4)*n*n*n*((n*n**34*n)/n)/n)/(n*n**(1/2)*((n*n/n**(1/3)*n*n)/n)/n) assuming n is positive.
n**(403/12)
Simplify (p/(p**(-1)/p*p))**29*(p**(-4/5))**(-3/16) assuming p is positive.
p**(1163/20)
Simplify (w/(w**(3/22)*w)*w**39)**45 assuming w is positive.
w**(38475/22)
Simplify h*h*h**(-14)/h*(h**4/h)/h*h*h/h**(-2/19)*h*((h/(h/h**(1/2)*h))/h)/h assuming h is positive.
h**(-395/38)
Simplify (((b/((b/b**10)/b))/b)/b*b*b*b/b**25)/((b/(b**(-10)/b)*b)/b*b*b**(-1/3)) assuming b is positive.
b**(-77/3)
Simplify (i/(i**(-3/2)*i)*i**(-7/3))/(i/(i*i**1))**(-19/3) assuming i is positive.
i**(-43/6)
Simplify (c**(-2/7)/(c*c/c**(-1)))/(c**(-6/11)*c*c**(-2/3)*c) assuming c is positive.
c**(-941/231)
Simplify (u**14/(u**(-17)/u))/((u/u**(-3/5))/u)**39 assuming u is positive.
u**(43/5)
Simplify ((v**1)**(-34)/(v**(-1/2)*v*(v**(3/10)*v*v)/v))**(-37) assuming v is positive.
v**(6623/5)
Simplify ((b**(3/2))**43)**(-4/37) assuming b is positive.
b**(-258/37)
Simplify c**(-17/3)*c*c*c**(3/5)*c*c*c*(c**5/c)**(3/17) assuming c is positive.
c**(163/255)
Simplify (j**(-5))**(-15)*(j*j*j**16*j*j)/(j/(j*j**(-6))) assuming j is positive.
j**89
Simplify ((b**(5/4)*b)/b)/(b*b/(b/(b*b/(b/(b*b/b**(12/7)*b))))*b)*b**10/(b*(b**(-1/4)/b)/b) assuming b is positive.
b**(115/14)
Simplify (k**(-3))**(-22)*(k*k**(-12))/((k**2*k*k)/k) assuming k is positive.
k**52
Simplify ((b/b**(-2/7))/b*b*b**(-3))/(b**2/(b/(b*b**(1/2)*b*b*b))) assuming b is positive.
b**(-101/14)
Simplify (j**(-24)/(j/(j*j**(-3/5))))/(j**1/j*j**(4/9)) assuming j is positive.
j**(-1127/45)
Simplify (((z**(-1)/z*z)/z*z)**(4/9)/(z**(2/3))**(2/3))**(-2/131) assuming z is positive.
z**(16/1179)
Simplify (u**(-9/4))**42*u**7/((u**(-2/3)/u)/u) assuming u is positive.
u**(-509/6)
Simplify (w/(w**25*w))**(-1/14)/(w*(w**16*w)/w*w*((w/(w/w**(-19)))/w)/w) assuming w is positive.
w**(67/14)
Simplify ((r**(-1/3)*r)/(r/r**(-9/5)))**35 assuming r is positive.
r**(-224/3)
Simplify (l**11)**(-8)/(l**16*l)**(-48) assuming l is positive.
l**728
Simplify (y/y**(3/2)*y**1)/(y/(((y/y**(-4))/y)/y*y)*y*y**(-4/5)) assuming y is positive.
y**(33/10)
Simplify ((r*r/r**(1/3)*r)**(-20/11)*(r/(r/(r**(-1/3)/r))*r)**(-6/13))**(-9/2) assuming r is positive.
r**(3021/143)
Simplify o**17*((o**(-3/16)*o)/o)/o*(o**(-1/6)*o)/(o**(-27)/o) assuming o is positive.
o**(2143/48)
Simplify (n**(1/12))**(2/11)/(n**(-1/52))**(-1/74) assuming n is positive.
n**(1891/126984)
Simplify (i/i**(-4))**(-1/4)/(i/i**1)**(-2/13) assuming i is positive.
i**(-5/4)
Simplify w**17/(w/(w/((w*(w/(w/(w*w**(5/8))*w))/w)/w)))*(w/(w**(3/13)/w))/(w**(9/5)/w) assuming w is positive.
w**(9539/520)
Simplify j**2/j**(-9)*((j**(-2/13)*j)/j)**(-5/7) assuming j is positive.
j**(1011/91)
Simplify ((w**(-3/4)*w)/w*w)/w**3*w/(w**11*w)*w/w**6 assuming w is positive.
w**(-75/4)
Simplify a**5/(a**23*a)*a**(12/7)*a*a**(-3/7)/a assuming a is positive.
a**(-124/7)
Simplify (n**(-4/29)/n*n*n**(7/4))/(n*(n/(n**27/n*n))/n*n*n**(5/9)) assuming n is positive.
n**(27203/1044)
Simplify ((p*p**(4/3)*p)/p)/p**(9/2)*p*p**4*p**10 assuming p is positive.
p**(77/6)
Simplify (b/(b/(b/(b*b**22))))/(b/b**(2/3))*(b*b/b**(-1))**(-8) assuming b is positive.
b**(-139/3)
Simplify (v/v**(-15))**(1/77)*v**34/v*v*v/((v*v/v**25*v)/v*v)*v assuming v is positive.
v**(4482/77)
Simplify (t*t**(-2/13)*t**(-2/33))**(2/39) assuming t is positive.
t**(674/16731)
Simplify (o**(1/5)/o)**(11/9)*o**(-6/19)/(o*o**(-6)) assuming o is positive.
o**(3169/855)
Simplify z*(z*z/z**(-3/2))/z*z**(3/2)*(z**1)**(-27) assuming z is positive.
z**(-22)
Simplify ((p*p/(p/((p*p**(2/5))/p))*p)**(-49)*p**(2/17)*(p*p**(-2/3))/p)**(1/25) assuming p is positive.
p**(-30128/6375)
Simplify (y/(y/(y/(y**(-2)/y*y))))**(-2/17)*(y**(-1/2))**(1/65) assuming y is positive.
y**(-797/2210)
Simplify (m**3*m)/m**(3/4)*m**(-3/4)*m**(-10) assuming m is positive.
m**(-15/2)
Simplify ((m**(-2/11)/(m*m*m/(m/(m*m**5*m))))/(m**(-2/11)/(m**(1/6)*m)))**22 assuming m is positive.
m**(-517/3)
Simplify t**(1/4)*t**32*t*(t**(-21/2)*t)/t*t*t/(t*t**(-12)) assuming t is positive.
t**(143/4)
Simplify (q**(-7))**(-21)/(q*q*q**0)**3 assuming q is positive.
q**141
Simplify n**(-2/23)/((n*n*((n/n**(-2/15))/n)/n)/n)*(n*n*n**(6/5)/n)/(n**7*n) assuming n is positive.
n**(-2077/345)
Simplify r**(-5/3)*r/(r/((r**(3/2)*r)/r*r)*r)*(r**(3/10)/r)/r*r*r*r/r**(1/5) assuming r is positive.
r**(14/15)
Simplify (s**(8/3)/(s*s**(-9))*s**(3/7)/s*s**(-4))**(-11) assuming s is positive.
s**(-1408/21)
Simplify ((x*x**(1/5))/x**(-3/8))/(x*x**(4/3)/x)**30 assuming x is positive.
x**(-1537/40)
Simplify ((w/w**(1/4)*w)**(-14/9))**(3/2) assuming w is positive.
w**(-49/12)
Simplify (w*w**(5/8))**(-29)/(w**(-2/3)*w*w**(-2/37)*w*w*w) assuming w is positive.
w**(-44759/888)
Simplify (x**(-5)*x*x**(-2)/x)/(x**(-3))**28 assuming x is positive.
x**77
Simplify (s*s**(3/2))**(-39)/((s/s**25*s)/s**(-23)) assuming s is positive.
s**(-195/2)
Simplify (u*u**(3/2)*u)**2/(u**(-1/24)*u*u**(-31)*u) assuming u is positive.
u**(865/24)
Simplify (m**(-10)*m/(m*m**16))/(m*m**(2/5)*m*m*m**5) assuming m is positive.
m**(-172/5)
Simplify i/(i*i/(i*(i**10/i)/i))*i/((i/(i/(((i*i**(-11))/i*i)/i)*i))/i)*i**(-2/61)*i*i/(i/i**(2/5)) assuming i is positive.
i**(7127/305)
Simplify (q**(-1/2))**35*q**(-2/5)*q*q**(11/2)*q assuming q is positive.
q**(-52/5)
Simplify ((r**(2/3)/r*r*r)**(-6/17)*(r**(2/3)*r*r)/((r**6*r)/r))**35 assuming r is positive.
r**(-7000/51)
Simplify (x/(x/(x*x**(3/5)*x)*x))/(x**(1/3)*x)*x** | {
"pile_set_name": "DM Mathematics"
} |
?
-50
What is 66019 rounded to the nearest 100?
66000
What is -0.0033503 rounded to 3 dps?
-0.003
What is 0.12087 rounded to three decimal places?
0.121
What is -1254 rounded to the nearest 100?
-1300
What is -9.01 rounded to the nearest ten?
-10
Round 78100000 to the nearest one million.
78000000
Round 0.000020411 to 7 decimal places.
0.0000204
What is -86.19 rounded to the nearest 100?
-100
Round -4430000 to the nearest one hundred thousand.
-4400000
What is -0.000028652 rounded to six decimal places?
-0.000029
What is -177100 rounded to the nearest 100000?
-200000
Round -0.00001275 to seven decimal places.
-0.0000128
What is -2.254 rounded to 1 dp?
-2.3
Round -2500 to the nearest 10000.
0
Round -341770 to the nearest ten thousand.
-340000
What is 408.5 rounded to the nearest one hundred?
400
Round 0.06055 to 3 dps.
0.061
Round -34479 to the nearest one hundred.
-34500
Round 0.00023812 to five decimal places.
0.00024
What is -1520000 rounded to the nearest one hundred thousand?
-1500000
Round 2907.04 to the nearest one hundred.
2900
Round -168 to the nearest integer.
-168
Round 0.20425 to 1 dp.
0.2
Round -9.9585 to one decimal place.
-10
What is -0.002529 rounded to three decimal places?
-0.003
Round -2644.3 to the nearest one hundred.
-2600
What is 2.443 rounded to 1 decimal place?
2.4
What is -2.06 rounded to 1 dp?
-2.1
What is -0.0000053643 rounded to 7 dps?
-0.0000054
What is -6530 rounded to the nearest one hundred?
-6500
Round 385.6 to the nearest 10.
390
What is 56581000 rounded to the nearest one hundred thousand?
56600000
Round 189.89 to the nearest 10.
190
What is 0.044461 rounded to two dps?
0.04
What is -0.017928 rounded to four dps?
-0.0179
Round -101.42 to the nearest 10.
-100
What is -142.1 rounded to the nearest ten?
-140
What is -0.0659 rounded to 1 dp?
-0.1
What is 0.0071342 rounded to three dps?
0.007
Round 0.00881 to three dps.
0.009
What is 0.015683 rounded to two dps?
0.02
What is -0.000000727 rounded to 7 dps?
-0.0000007
Round 7667.3 to the nearest one thousand.
8000
Round 718800 to the nearest 10000.
720000
What is -48.7 rounded to the nearest ten?
-50
Round -0.21482 to 3 dps.
-0.215
Round 612 to the nearest 100.
600
Round 1.89 to zero decimal places.
2
What is -3450 rounded to the nearest 1000?
-3000
Round 0.00061931 to four dps.
0.0006
What is -153 rounded to the nearest 10?
-150
Round -2738 to the nearest 100.
-2700
Round 25539 to the nearest 1000.
26000
Round 0.00000023 to seven dps.
0.0000002
Round 16.7555 to two dps.
16.76
Round 0.029148 to three dps.
0.029
Round 3491000 to the nearest 100000.
3500000
Round -26290000 to the nearest 1000000.
-26000000
What is -0.008972 rounded to 3 decimal places?
-0.009
What is 0.012785 rounded to 3 dps?
0.013
Round 13830000 to the nearest 100000.
13800000
Round 0.00028358 to 5 decimal places.
0.00028
Round 69.242 to the nearest 10.
70
Round -0.0002051 to five decimal places.
-0.00021
Round -0.002203 to four decimal places.
-0.0022
Round -2.91 to 0 dps.
-3
Round -52249100 to the nearest one million.
-52000000
What is -0.00000486713 rounded to six decimal places?
-0.000005
What is 40.294 rounded to the nearest ten?
40
What is 0.1651 rounded to 3 dps?
0.165
What is 0.0000003773 rounded to seven decimal places?
0.0000004
What is -0.0000004367 rounded to 7 decimal places?
-0.0000004
What is -624 rounded to the nearest one hundred?
-600
Round 0.0000118959 to 7 dps.
0.0000119
Round -1751500 to the nearest one hundred thousand.
-1800000
What is -0.08608 rounded to 2 decimal places?
-0.09
Round 0.00101 to four decimal places.
0.001
What is -0.01157 rounded to 4 dps?
-0.0116
What is 0.000003347 rounded to 7 decimal places?
0.0000033
What is -0.0612 rounded to 1 decimal place?
-0.1
Round 0.000002004 to six dps.
0.000002
What is -0.003218 rounded to five decimal places?
-0.00322
Round -0.00069341 to five dps.
-0.00069
What is -4400 rounded to the nearest 10000?
0
Round 26.722 to the nearest 10.
30
What is -0.055889 rounded to two dps?
-0.06
Round 0.01086 to 3 dps.
0.011
What is -0.001596 rounded to five dps?
-0.0016
What is 464000 rounded to the nearest 10000?
460000
Round -85000 to the nearest ten thousand.
-90000
What is -19.192 rounded to zero decimal places?
-19
Round 7300 to the nearest 10000.
10000
Round -0.000002763 to six dps.
-0.000003
Round 0.000086716 to 6 decimal places.
0.000087
What is 929.28 rounded to the nearest 10?
930
Round 0.67874 to 1 decimal place.
0.7
Round -3.689 to 1 decimal place.
-3.7
What is -0.00208289 rounded to 5 dps?
-0.00208
Round 55.37 to the nearest 10.
60
Round -756.4 to the nearest 1000.
-1000
Round -0.238 to 2 decimal places.
-0.24
What is -4.8649 rounded to two dps?
-4.86
Round -0.0000337 to 6 dps.
-0.000034
What is -0.00083425 rounded to four decimal places?
-0.0008
What is -9541.8 rounded to the nearest one thousand?
-10000
Round 0.01394 to two decimal places.
0.01
Round 0.000079934 to six dps.
0.00008
Round -17060 to the nearest ten thousand.
-20000
What is -36.48 rounded to 0 decimal places?
-36
Round 22125000 to the nearest 1000000.
22000000
Round 437000 to the nearest 100000.
400000
What is 571030 rounded to the nearest 10000?
570000
What is 0.008078 rounded to 2 dps?
0.01
Round 0.00072 to 3 decimal places.
0.001
What is -1438920 rounded to the nearest one hundred thousand?
-1400000
What is 15.6782 rounded to one decimal place?
15.7
Round -0.0000048 to 5 decimal places.
0
Round -353056 to the nearest 1000.
-353000
Round 0.07996 to two dps.
0.08
What is 0.209 rounded to one decimal place?
0.2
What is 661.61 rounded to the nearest 100?
700
Round -1573000 to the nearest 100000.
-1600000
What is 0.0034969 rounded to three dps?
0.003
What is 0.0000096 rounded to six dps?
0.00001
What is 0.00024183 rounded to five dps?
0.00024
Round 647.86 to 0 decimal places.
648
Round -371.5 to the nearest one hundred.
-400
Round -46.63 to the nearest 10.
-50
Round 2459000 to the nearest 100000.
2500000
Round -183350 to the nearest one thousand.
-183000
What is 3484000 rounded to the nearest one hundred thousand?
3500000
What is 0.013174 rounded to 4 dps?
0.0132
Round -222500 to the nearest 10000.
-220000
Round -0.000007696 to six dps.
-0.000008
Round -7100 to the nearest 10000.
-10000
Round -0.00000050079 to 7 decimal places.
-0.0000005
What is 4017 rounded to the nearest 10?
4020
What is -0.0000009483 rounded to seven dps?
-0.0000009
Round -57000000 to the nearest 1000000.
-57000000
Round -2.4887 to 1 decimal place.
-2.5
What is 86730 rounded to the nearest 1000?
87000
What is 10554 rounded to the nearest 1000?
11000
Round -0.00054181 to 6 dps.
-0.000542
What is -11925000 rounded to the nearest 100000?
-11900000
Round -0.00009977 to 6 decimal places.
-0.0001
What is 28763000 rounded to the nearest one hundred thousand?
28800000
What is -1145900 rounded to the nearest 10000?
-1150000
What is 24.1 rounded to the nearest 10?
20
What is -122222 rounded to the nearest one thousand?
-122000
What is 0.0000458878 rounded to 6 decimal places?
0.000046
Round 0.000031052 to six decimal places.
0.000031
What is 0.0000007231 rounded to seven decimal places?
0.0000007
What is 0.1765 rounded to two decimal places?
0.18
What is 0.00000046678 rounded to seven dps?
0.0000005
Round -253 to the nearest 1000.
0
What is 5.64 rounded to the nearest ten?
10
What is -185530 rounded to the nearest ten thousand?
-190000
What is 24.0475 rounded to one decimal place?
24
What is -0.000917 rounded to five decimal places?
-0.00092
What is 0.000125696 rounded to 7 dps?
0.0001257
Round 0.000002113 to seven dps.
0.0000021
What is -2769.3 rounded to the nearest 100?
-2800
What is -0.151756 rounded to 2 decimal places?
-0.15
Round 0.0000031 to 6 decimal places.
0.000003
Round 5000 to the nearest one hundred.
5000
What is -88.548 rounded to zero dps?
-89
What is 0.0000100535 rounded to 7 dps?
0.0000101
What is -0.00034 rounded to three dps?
0
Round 0.03533 to two decimal places.
0.04
Round 0.2218 to 2 dps.
0.22
What is -15112000 rounded to the nearest one hundred thousand?
-15100000
Round 6720000 to the nearest one million.
7000000
What is -518.5 rounded to the nearest 10?
-520
What is -2794.7 rounded to the nearest ten?
-2790
Round -0.032495 to 4 decimal places.
-0.0325
What is -172297000 rounde | {
"pile_set_name": "DM Mathematics"
} |
eatest common factor of 215 and 125730753.
43
What is the highest common divisor of 10052 and 48930?
14
Calculate the highest common divisor of 8 and 288712120.
8
What is the greatest common factor of 387930 and 24125?
965
Calculate the greatest common divisor of 7892 and 698434108.
7892
Calculate the highest common factor of 10885 and 52700505.
1555
What is the greatest common divisor of 166422135 and 2530?
1265
What is the greatest common factor of 14 and 8668849?
7
What is the highest common divisor of 153 and 3875116?
17
Calculate the highest common factor of 3239057 and 2269205.
6217
What is the highest common factor of 13856326 and 374?
374
What is the highest common factor of 5896 and 24044089?
67
What is the greatest common divisor of 56808 and 820989?
27
What is the highest common divisor of 39 and 271927409?
13
Calculate the highest common factor of 35951865 and 51045.
1245
Calculate the greatest common divisor of 2874 and 55620522.
2874
What is the highest common divisor of 72 and 21488652?
36
Calculate the highest common divisor of 1694950 and 2739910.
3110
What is the highest common factor of 17955 and 6234660?
855
What is the greatest common divisor of 46066400 and 2650?
50
What is the highest common divisor of 13450817 and 477?
53
What is the greatest common divisor of 60 and 769255965?
15
What is the highest common divisor of 24451 and 6365743?
499
Calculate the greatest common factor of 808339 and 94017.
259
What is the highest common factor of 8970603 and 67248?
1401
Calculate the highest common divisor of 811987 and 485.
97
What is the highest common divisor of 1500453 and 23733?
2637
Calculate the greatest common factor of 622 and 1906855759.
311
Calculate the greatest common factor of 6994708 and 42.
14
What is the highest common divisor of 379790 and 693641?
233
What is the greatest common factor of 333976 and 365368?
872
What is the greatest common divisor of 3271021 and 3914?
19
Calculate the greatest common factor of 56431840 and 32.
32
What is the greatest common factor of 84 and 462994?
14
What is the highest common factor of 494 and 1920776?
26
What is the greatest common factor of 67680 and 42084000?
1440
Calculate the greatest common factor of 16168 and 841864.
376
Calculate the highest common divisor of 140716 and 906344.
1108
What is the highest common factor of 35464 and 18236?
4
Calculate the highest common factor of 206777 and 76.
19
Calculate the greatest common factor of 637 and 4259521.
49
What is the highest common divisor of 852608 and 296?
8
Calculate the highest common factor of 84166505 and 6410.
3205
What is the highest common divisor of 173696 and 32936?
184
Calculate the highest common factor of 1653 and 5376165.
87
Calculate the greatest common divisor of 182377 and 2821.
13
What is the greatest common divisor of 1427206 and 377?
29
Calculate the greatest common factor of 9590955 and 1332.
111
What is the greatest common factor of 153917 and 22499?
149
What is the greatest common factor of 17641 and 435479?
59
What is the highest common factor of 396 and 50863692?
132
What is the greatest common factor of 9450 and 23203950?
1050
What is the greatest common factor of 2781 and 87859?
103
What is the greatest common factor of 10416 and 152016?
48
Calculate the greatest common divisor of 4836 and 17527152.
372
What is the greatest common factor of 64 and 54893632?
64
Calculate the highest common divisor of 20468742 and 199080.
3318
Calculate the greatest common divisor of 49623252 and 588.
84
What is the greatest common divisor of 49840 and 28?
28
What is the greatest common factor of 3883 and 145387?
11
What is the highest common factor of 8687144 and 8?
8
Calculate the highest common divisor of 5844 and 51963.
3
Calculate the highest common factor of 6608 and 6018.
118
What is the highest common divisor of 12802 and 31663564?
74
What is the highest common divisor of 650 and 2107274?
26
Calculate the highest common divisor of 38013836 and 5236.
476
Calculate the highest common factor of 44138 and 22896968.
1522
Calculate the highest common divisor of 33033858 and 858.
858
What is the highest common factor of 1440 and 330288?
48
Calculate the greatest common divisor of 3555 and 158553.
711
What is the greatest common factor of 182 and 4767070?
14
What is the highest common divisor of 348 and 940789?
29
Calculate the greatest common factor of 5578634 and 15554.
202
Calculate the highest common factor of 184 and 7820408.
8
What is the highest common factor of 12 and 7931572?
4
What is the greatest common divisor of 122 and 830175291?
61
Calculate the greatest common divisor of 340 and 943330.
170
What is the greatest common factor of 7500 and 99250?
250
What is the greatest common factor of 22432 and 872?
8
Calculate the greatest common factor of 124362 and 41034854.
4606
What is the highest common divisor of 5340 and 1407891000?
5340
What is the greatest common divisor of 45236 and 2294675?
263
What is the highest common factor of 12649 and 79925?
139
What is the greatest common divisor of 1406 and 2127722?
74
Calculate the highest common factor of 2533226 and 1640.
82
What is the greatest common divisor of 2248774 and 198?
22
Calculate the greatest common factor of 482 and 19702.
2
Calculate the greatest common factor of 21333 and 406653.
39
What is the highest common factor of 678 and 215858702?
226
Calculate the greatest common divisor of 4608056 and 2096.
1048
Calculate the highest common factor of 1640 and 5140990.
410
Calculate the highest common divisor of 1031591 and 506.
11
What is the greatest common factor of 18 and 11180718?
18
Calculate the highest common divisor of 18881300 and 129.
43
Calculate the highest common divisor of 3380240 and 12760.
1160
Calculate the highest common factor of 1450 and 458084.
58
What is the greatest common divisor of 10430 and 6162940?
70
What is the highest common factor of 809496 and 1800?
72
Calculate the highest common divisor of 38879938 and 106542.
3946
What is the highest common factor of 20014240 and 1120?
160
Calculate the greatest common divisor of 17464 and 1089376.
472
Calculate the highest common factor of 663 and 12496819.
17
What is the highest common factor of 2968 and 9890648?
424
Calculate the highest common divisor of 4529490 and 840.
210
Calculate the greatest common divisor of 25414116 and 45177.
4107
Calculate the greatest common divisor of 256 and 90887456.
32
What is the highest common factor of 3403 and 1757383?
41
Calculate the greatest common divisor of 58932056 and 16.
8
What is the greatest common divisor of 80 and 5013570?
10
Calculate the greatest common factor of 539688 and 246.
6
What is the highest common divisor of 1342980 and 19548?
108
What is the highest common divisor of 1023319 and 25707?
451
Calculate the greatest common divisor of 11632 and 167020253.
727
What is the greatest common divisor of 516644 and 748159?
2437
What is the greatest common factor of 12259031 and 1356?
113
What is the greatest common factor of 1301446 and 7742?
158
Calculate the greatest common factor of 1123034 and 30514.
22
Calculate the highest common divisor of 120620685 and 240.
15
Calculate the highest common divisor of 3725 and 657565310.
745
Calculate the greatest common factor of 129636765 and 36.
9
Calculate the highest common divisor of 49024046 and 106.
106
What is the highest common divisor of 6022860 and 111?
111
What is the highest common factor of 5263 and 706627?
277
What is the highest common factor of 525159 and 4302?
9
Calculate the highest common factor of 4766926 and 1484.
106
What is the highest common divisor of 6678270920 and 20?
20
Calculate the highest common divisor of 5 and 2310214.
1
Calculate the highest common factor of 1147254876 and 90.
18
What is the highest common factor of 13860648 and 216?
72
Calculate the highest common divisor of 29138 and 43825266.
1714
Calculate the greatest common divisor of 232785 and 1715.
35
Calculate the greatest common divisor of 1781 and 5281761.
137
Calculate the greatest common divisor of 21 and 17923521.
21
Calculate the highest common divisor of 38 and 17149799.
19
Calculate the greatest common factor of 788139 and 24658569.
3771
Calculate the highest common factor of 11 and | {
"pile_set_name": "DM Mathematics"
} |
= a + -3.8. Let i = v - -5.994. Round i to 3 decimal places.
-0.006
Suppose 97834529 + 168115471 = -9*m. What is m rounded to the nearest one million?
-30000000
Let a = 13.5 + -13.12. Let g = 566.870038 - 567.25. Let t = a + g. What is t rounded to five decimal places?
0.00004
Let g(i) = 1605*i + 341. Let s be g(-5). Round s to the nearest one hundred.
-7700
Suppose 2*a - 3*p = 5, -4*a + 4 = -3*p + 3. Let b(f) = 203749*f**3 - f**2 - 2*f - 8. Let c be b(a). What is c rounded to the nearest one million?
-2000000
Suppose 4*k + 4 = 5*i, 4*k - 18 = -2*i + 6. Suppose k*v = -4*y + y - 9865486, 2 = y. Let o = v - -4266373. What is o rounded to the nearest 1000000?
2000000
Let y = -165.82 + 166. Let h = -0.179748 + y. What is h rounded to 5 dps?
0.00025
Let n = -26962 + 14449. What is n rounded to the nearest 1000?
-13000
Let u = 9.3 - 8.91. Let t = u + -0.238. Let r = t + -0.1382. Round r to three dps.
0.014
Let s(g) = -g**3 + 12*g**2 + 12*g - 16. Let a be s(7). Suppose 2*z + a = 35. Round z to the nearest ten.
-140
Let f = -0.5 + 0.8. Let j = f + 0.01. Let o = -0.6 + j. What is o rounded to 1 decimal place?
-0.3
Let r(w) = w**3 + 4*w**2 + 14*w - 14. Let u be r(7). Round u to the nearest one thousand.
1000
Let l(x) = -2*x**2 - 4*x + 1. Let v be l(-4). Let a = -1 - v. Let z be 88/a + 2/(-7). What is z rounded to the nearest integer?
6
Let w = -232387 - 865565. Let h = 1097952.1260126 + w. Let b = h + -0.126. Round b to six dps.
0.000013
Let l be 42/9 - 4/(-12). Suppose -4*q - 3 = -l*q. Suppose -2*v + 2415 = -6*v - q*m, 0 = -5*v - 5*m - 3025. Round v to the nearest 100.
-600
Let o = 1179.99993792 + -1180. Round o to five dps.
-0.00006
Let g = -106789561 + 106789544.99999944. Let x = g - -16. What is x rounded to seven decimal places?
-0.0000006
Let z = 2 + -9. Let i = z - -10. Let r = i - 3.2. Round r to one dp.
-0.2
Let t = 0.0271 - 0.0067. Round t to two decimal places.
0.02
Let u = -92.41 + 1.41. Let s = -90.99919 - u. Round s to four decimal places.
0.0008
Let d = 0.00362 + -0.0721. Round d to two decimal places.
-0.07
Suppose 5*q = -5*u + 25558465, 0*q + 25558465 = 5*q + 3*u. Suppose 0 = v - q + 21401934. Let d = v - -10590241. What is d rounded to the nearest 1000000?
-6000000
Let j = 14.58 - 7.623. Round j to zero dps.
7
Let c be -1*-15*(20/12)/5. Suppose 5*n - 845 = -2*m, c*n - 2 + 17 = 0. Round m to the nearest one hundred.
400
Suppose m = -3*m + 3*k - 47520003, 3*m = 2*k - 35640002. Round m to the nearest 1000000.
-12000000
Let d = -42 + 42.0038. Let q = d - 0.027. Round q to three decimal places.
-0.023
Let v = 9.203 - 22.1515. Let z = v + 12.9. What is z rounded to 2 decimal places?
-0.05
Let d = -372338 + 64312. Let v = 130387 + d. Let j = -1117639 - v. What is j rounded to the nearest 100000?
-900000
Let x = -682298.964 + 684632. Let y = 2348 - x. Let p = y - 15. What is p rounded to two decimal places?
-0.04
Let v = -0.14 - -2.79. Let l = -2.65000438 + v. Round l to 6 dps.
-0.000004
Let k = 332089 - 332104.1989. Let v = k + 15.2. What is v rounded to 4 decimal places?
0.0011
Let l = -7584 + 7903.9. What is l rounded to the nearest 10?
320
Let v = 490049445.0000604 + -490049203. Let a = v + -242. Round a to five dps.
0.00006
Let s = -13.4 - 1.6. Let j = s - -14.815. Let r = 23.015 - j. Round r to the nearest integer.
23
Suppose -5*s + 0 = -5. Let v be (-35355987)/(-6) - s/2. Suppose -v = -4*l + 2627336. Round l to the nearest one hundred thousand.
2100000
Let q(y) = 26810*y - 50. Let v be q(5). Round v to the nearest ten thousand.
130000
Let m = 57 - 63. Let c be -4 + 65/15 - (-266)/m. What is c rounded to the nearest integer?
-44
Let y = -7.9 - -8. Let b = -0.9 - y. Let w = b - 1.2. What is w rounded to 0 dps?
-2
Let s = 1134 + -1132.033. What is s rounded to 1 dp?
2
Let n be (-208)/36 - -6 - 19008004/18. Round n to the nearest 100000.
-1100000
Let u = -171.657 + 170.9. Round u to 1 decimal place.
-0.8
Let a = -2.9 - 172.1. Let g = a + 176.66. What is g rounded to one dp?
1.7
Let a = -3.5 + 3.517. Let k = -0.0777 - -0.0684. Let c = k + a. Round c to three dps.
0.008
Let z = 2275073.2399997 + -2275073. Let n = 0.24 - z. Round n to six dps.
0
Let a = 669 - 669.2215. What is a rounded to two decimal places?
-0.22
Suppose -12*l + 12571 = -9629. What is l rounded to the nearest one hundred?
1900
Let i(x) = -2803*x**3 + 2*x**2 + x + 4. Let m be i(-3). Round m to the nearest 1000.
76000
Let l = 0.74 - 23.74. Let b = 22.95 + l. What is b rounded to 1 dp?
-0.1
Let y = -302706.696729 - 0.303271. Let a = 302707.250038 + y. Let v = 0.25 - a. What is v rounded to 5 dps?
-0.00004
Let f be 4/12 - 442803/9. Let g be (5000/6)/((-2)/f). Round g to the nearest 1000000.
21000000
Let y = 6.13 - 19. What is y rounded to the nearest integer?
-13
Let g = 158 - 91. Let n = 67.56354 + -0.57574. Let u = g - n. Round u to 3 decimal places.
0.012
Let p(l) = 2*l + 6*l**2 - 7*l**2 + 3 + 3*l**2. Let r be p(-9). What is r rounded to the nearest 10?
150
Let p = 25.4 - 27. Let z = -0.4 + p. Let x = z + 1.958. Round x to two dps.
-0.04
Suppose 0 = 33*t - 17*t + 555840000. Round t to the nearest one million.
-35000000
Let g = -0.3306 - -0.0506. Let s = -1.7 - -1.98. Let r = s - g. Round r to 1 decimal place.
0.6
Let s = 2167.0001938 + -2167. Round s to four decimal places.
0.0002
Let v = -1194 + 1750. Let q = v - 555.9591. Round q to three decimal places.
0.041
Let z be -12 - -9 - -80131*3. Suppose 5*c - 1816950 = -r, -4*c + 4*r + 5129 = -1448431. Let j = z - c. What is j rounded to the nearest ten thousand?
-120000
Let t = 262594.5 - -1366950.5. Let o = t + -1629585.99915. Let y = 41 + o. What is y rounded to four dps?
0.0009
Let h = -40.8 + 40.8000184. Round h to five dps.
0.00002
Let y = 88175806.00000505 - 88175834. Let i = y - -28. What is i rounded to 7 dps?
0.0000051
Let c(h) = 5*h**2 - 14*h + 32. Let d be c(-10). What is d rounded to the nearest 100?
700
Let p = -2.57 - -216.57. Let q = 219.35 - p. What is q rounded to zero dps?
5
Let p = 68.098 - 0.098. Let n = p + -68.134. Round n to 2 decimal places.
-0.13
Let w = -0.032 + 27.032. Let o = w - 39. Let v = o - -20.5. Round v to the nearest integer.
9
Let o = -871272 + -546728. Round o to the nearest 100000.
-1400000
Let h = -58.3 - 3.7. Let g = 42664949 + -42665010.999934. Let s = g - h. What is s rounded to 5 dps?
0.00007
Let z = 9.85 + 0.15. Let b = 5.8 - z. Let n = b - -4.20000067. What is n rounded to seven decimal places?
0.0000007
Let s = -275 + 275.444. Round s to two dps.
0.44
Let k(h) = 82*h**3 + 2*h**2 - h + 2. Let b be k(2). Suppose 0*o = 2*o - b. Round o to the nearest 10.
330
Let j = -2173778.3 + 2169721.99995. Let w = -4055 - j. Let u = 1.3 - w. Round u to four dps.
-0.0001
Let o = 216.3 - 212. Let s = 5320.7095 + -5325. Let d = o + s. What is d rounded to 3 dps?
0.01
Let k(p) = -p**2 + 5*p - 7. Let g be k(4). Let r(i) = -10000*i**2. Let t be r(g). Round t to the nearest one hundred thousand.
-100000
Let k = -0.035070606 - 23.469952394. Let v = k + 0.505283. Let z = v + 23. What is z rounded to 4 dps?
0.0003
Let s = 2204.6 + -1947. Let i = s - 23.6. Let r = -235.43 + i. Round r to one decimal place.
-1.4
Let q = 0.175 + -0.17. Let f = 3.01 + -3. Let c = q - f. What is c rounded to 2 decimal places?
-0.01
Let f = -103.94 + 103.9400007771. What is f rounded to 7 decimal places?
0.0000008
Let l = 0.0324 - 0.0001. Let m = l - 0.059. What is m rounded to three decimal places?
-0.027
Let g = -2.951 + 0.101. Let v = -187.1 + 190. Let t = v + g. What is t rounded to 1 decimal place?
0.1
Suppose -18*m + 17*m = -2932381. Suppose -2*w = -15932381 + m. What is w rounded to the nearest one million?
7000000
Let m(b) = -5*b - 4. Let w = 21 + -25. Let f be m(w). Let i = -3 + f. Round i to the nearest 10.
10
Let s = 2452 - 1272. Let v = s + -768. Round v to the nearest 100.
400
Suppose 4*r - 39800008 = 10*d - 5*d, r = 3*d + 23880002. What is d rounded to the nearest 100000?
-8000000
Suppose -4*i = -5*l + 537 - 157, 0 = 3*l + 5*i - 265. Suppose -l*x = -78*x - 1962000. Round x to the nearest 100000.
1000000
Let q = 963 - 985.5. Round q to the nearest 10.
-20
Let k = -0.09264072 - -4211275.09264072. Let s = k + -4211268.0000104. Let c = 7 - s. Round c to six decimal places.
0.00001
Let q = -92.897 - -93. Let r = q + | {
"pile_set_name": "DM Mathematics"
} |
tors of 331844?
2, 23, 3607
What are the prime factors of 3644031?
3, 227, 5351
List the prime factors of 333702.
2, 3, 18539
List the prime factors of 739.
739
What are the prime factors of 665880?
2, 3, 5, 31, 179
List the prime factors of 3916021.
3916021
List the prime factors of 2653435.
5, 97, 5471
What are the prime factors of 484517?
11, 17, 2591
What are the prime factors of 736373?
11, 66943
What are the prime factors of 110815?
5, 37, 599
What are the prime factors of 76?
2, 19
What are the prime factors of 263020?
2, 5, 13151
List the prime factors of 633907.
163, 3889
List the prime factors of 8824.
2, 1103
What are the prime factors of 2144818?
2, 13, 82493
List the prime factors of 3877387.
19, 29, 31, 227
List the prime factors of 1155470.
2, 5, 115547
What are the prime factors of 1330302?
2, 3, 221717
What are the prime factors of 6693519?
3, 7, 29, 379
What are the prime factors of 5696989?
17, 335117
List the prime factors of 3389966.
2, 71, 23873
What are the prime factors of 252938?
2, 7, 29, 89
What are the prime factors of 1480336?
2, 11, 13, 647
What are the prime factors of 17959?
17959
What are the prime factors of 885308?
2, 221327
What are the prime factors of 165339?
3, 18371
List the prime factors of 1592745.
3, 5, 7, 11, 197
What are the prime factors of 365954?
2, 67, 2731
What are the prime factors of 1184914?
2, 23, 25759
List the prime factors of 1480595.
5, 29, 10211
List the prime factors of 2654138.
2, 29, 67, 683
List the prime factors of 284464.
2, 23, 773
List the prime factors of 11024.
2, 13, 53
List the prime factors of 748206.
2, 3, 197, 211
List the prime factors of 7228559.
13, 556043
What are the prime factors of 665439?
3, 221813
What are the prime factors of 8029157?
8029157
List the prime factors of 313050.
2, 3, 5, 2087
List the prime factors of 545153.
7, 47, 1657
List the prime factors of 3686819.
293, 12583
What are the prime factors of 739181?
29, 71, 359
What are the prime factors of 613444?
2, 13, 47, 251
What are the prime factors of 340768?
2, 23, 463
What are the prime factors of 13134647?
3343, 3929
List the prime factors of 3956483.
23, 172021
What are the prime factors of 468556?
2, 11, 23, 463
List the prime factors of 263588.
2, 13, 37, 137
List the prime factors of 991532.
2, 487, 509
What are the prime factors of 202861?
17, 11933
What are the prime factors of 557700?
2, 3, 5, 11, 13
List the prime factors of 134669.
134669
What are the prime factors of 706150?
2, 5, 29, 487
What are the prime factors of 904739?
11, 233, 353
What are the prime factors of 2819359?
61, 46219
What are the prime factors of 650050?
2, 5, 13001
What are the prime factors of 19059715?
5, 193, 19751
List the prime factors of 19908254.
2, 1801, 5527
What are the prime factors of 5963729?
5963729
What are the prime factors of 2354757?
3, 784919
List the prime factors of 3072324.
2, 3, 503, 509
List the prime factors of 220811.
220811
What are the prime factors of 194827?
194827
What are the prime factors of 228152?
2, 19, 79
What are the prime factors of 473484?
2, 3, 11, 17, 211
List the prime factors of 210225.
3, 5, 2803
What are the prime factors of 167764?
2, 41941
List the prime factors of 82822.
2, 41411
List the prime factors of 4126152.
2, 3, 171923
List the prime factors of 18010117.
18010117
List the prime factors of 2923659.
3, 563, 577
What are the prime factors of 203695?
5, 40739
List the prime factors of 256182.
2, 3, 42697
What are the prime factors of 17493003?
3, 11, 29, 677
What are the prime factors of 28358528?
2, 11, 1831
List the prime factors of 4109761.
4109761
List the prime factors of 326819.
19, 103, 167
What are the prime factors of 4233473?
4233473
What are the prime factors of 256057?
256057
List the prime factors of 2397687.
3, 197, 4057
List the prime factors of 206989.
449, 461
List the prime factors of 1025247.
3, 341749
What are the prime factors of 380?
2, 5, 19
What are the prime factors of 294511?
7, 42073
What are the prime factors of 31280?
2, 5, 17, 23
List the prime factors of 602.
2, 7, 43
List the prime factors of 9322.
2, 59, 79
List the prime factors of 2609072.
2, 29, 5623
List the prime factors of 513321.
3, 397, 431
What are the prime factors of 11573902?
2, 379, 15269
List the prime factors of 5887679.
7, 841097
What are the prime factors of 9256361?
9256361
List the prime factors of 3760840.
2, 5, 167, 563
List the prime factors of 2991696.
2, 3, 62327
List the prime factors of 2390334.
2, 3, 269, 1481
List the prime factors of 1254459.
3, 271, 1543
What are the prime factors of 67442?
2, 33721
List the prime factors of 1129441.
1129441
What are the prime factors of 142707?
3, 47569
What are the prime factors of 500136?
2, 3, 7, 13, 229
What are the prime factors of 282366?
2, 3, 7, 83
What are the prime factors of 4260502?
2, 2130251
What are the prime factors of 1189574?
2, 41, 89, 163
List the prime factors of 7985834.
2, 3992917
What are the prime factors of 419512?
2, 41, 1279
What are the prime factors of 322307?
31, 37, 281
What are the prime factors of 1213820?
2, 5, 137, 443
What are the prime factors of 3236840?
2, 5, 19, 4259
List the prime factors of 468697.
468697
What are the prime factors of 227402?
2, 7, 37, 439
List the prime factors of 284942.
2, 7, 20353
List the prime factors of 2195974.
2, 11, 99817
What are the prime factors of 9151570?
2, 5, 915157
List the prime factors of 164079.
3, 59, 103
What are the prime factors of 3289666?
2, 163, 10091
List the prime factors of 452576.
2, 14143
List the prime factors of 170862.
2, 3, 28477
List the prime factors of 397663.
7, 56809
List the prime factors of 555308.
2, 13, 59, 181
What are the prime factors of 1494103?
13, 19, 23, 263
What are the prime factors of 101802?
2, 3, 19, 47
What are the prime factors of 24276?
2, 3, 7, 17
What are the prime factors of 36289793?
137, 264889
List the prime factors of 23633.
23633
List the prime factors of 1265412.
2, 3, 17, 6203
List the prime factors of 351652.
2, 7, 19, 661
What are the prime factors of 7593189?
3, 149, 16987
What are the prime factors of 363921?
3, 29, 47, 89
What are the prime factors of 219174?
2, 3, 36529
List the prime factors of 718728.
2, 3, 29947
List the prime factors of 452938.
2, 53, 4273
List the prime factors of 1470994.
2, 7, 105071
What are the prime factors of 70450?
2, 5, 1409
List the prime factors of 1371785.
5, 274357
List the prime factors of 982430.
2, 5, 17, 5779
What are the prime factors of 562968?
2, 3, 7, 1117
What are the prime factors of 357995?
5, 11, 23, 283
What are the prime factors of 1573968?
2, 3, 11, 271
What are the prime factors of 34196933?
2371, 14423
What are the prime factors of 3088053?
3, 251, 1367
What are the prime factors of 104710?
2, 5, 37, 283
List the prime factors of 3572466.
2, 3, 595411
What are the prime factors of 6520035?
3, 5, 593, 733
List the prime factors of 2166155.
5, 29, 14939
List the prime factors of 759049.
433, 1753
What are the prime factors of 14018267?
47, 298261
What are the prime factors of 492772?
2, 7, 17599
List the prime factors of 242306.
2, 97, 1249
What are the prime factors of 113835?
3, 5, 7589
List the prime factors of 7216028.
2, 1804007
List the prime factors of 24741212.
2, 6185303
List the prime factors of 10556429.
13, 812033
What are the prime factors of 464949?
3, 19, 2719
List the prime factors of 4531254.
2, 3, 7, 13, 43, 193
List the prime factors of 5667005.
5, 137, 8273
List the prime factors of 351255.
3, 5, 23417
What are the prime factors of 605172?
2, 3, 29, 37, 47
What are the prime factors of 18652991?
7, 41, 103, 631
What are the prime factors of 3738067?
1103, 3389
List the prime factors of 23137282.
2, 7, 101, 16363
What are the prime factors of 332444?
2, 7, 31, 383
What are the prime factors of 2291221?
61, 37561
List the prime factors of 4670645.
5, 7, 133447
What are the prime factors of 1348287?
3, 17, 26437
List the prime factors of 745465.
5, 7, 19, 59
List the prime factors of 670894.
2, 7, 173, 277
What are the prime factors of 529982?
2, 264991
What are the prime factors of 5502776?
2, 687847
What are the prime factors of 6954694?
2, 23, 151189
What are the prime factors of 519964?
2, 61, 2131
What are the p | {
"pile_set_name": "DM Mathematics"
} |
g) = -g**2 + 13*g - 22. Calculate q(10).
8
Let h(r) = r**2 + 39*r + 34. Determine h(-38).
-4
Let z(u) = -168*u**2 + 3*u + 2. Determine z(-1).
-169
Let y(b) = -3*b - 4. Give y(-3).
5
Let s(o) = -17*o + 99. What is s(22)?
-275
Let p(m) = m**3 + 6*m**2 - 9*m - 12. Calculate p(-7).
2
Let d(l) = l**3 - 13*l**2 - 2*l + 28. What is d(13)?
2
Let s(k) = -8*k + 258. Give s(33).
-6
Let l(h) = -4*h**3 - 2*h**2 + 11*h - 3. What is l(-2)?
-1
Let v(s) = s**2 + 20*s + 72. Calculate v(-16).
8
Let k(a) = a**2 + 9*a + 8. Determine k(-5).
-12
Let d(w) = 2*w**3 + w**2 - w + 1. What is d(0)?
1
Let x(b) = -5*b**3 - 3*b**2 - 8*b - 3. What is x(-2)?
41
Let u(k) = -k**2 - 21*k + 145. Calculate u(-26).
15
Let y(j) = -21*j + 1037. Give y(49).
8
Let a(v) = 2*v**2 - 15*v - 37. Give a(9).
-10
Let l(q) = -q**2 + 3. Give l(2).
-1
Let o(b) = -b**2 - 16*b + 39. What is o(-17)?
22
Let c(b) = -73*b**3 + 3*b + 2. Calculate c(-1).
72
Let h(s) = -s**2 - 3*s + 1. Calculate h(-4).
-3
Let o(r) = r**3 - 4*r**2 - 4*r + 14. Give o(3).
-7
Let h(m) = 2*m**3 - 2*m**2 - m - 4. Give h(3).
29
Let n(m) = m**3 - 10*m**2 + 3*m - 17. What is n(10)?
13
Let p(i) = i**2 + 4*i - 12. Give p(-6).
0
Let j(a) = -a**3 - 15*a**2 - 15*a + 2. What is j(-14)?
16
Let y(h) = 21*h - 15. Determine y(0).
-15
Let i(c) = -140*c + 557. Give i(4).
-3
Let y(n) = 2*n + 2. Give y(1).
4
Let t(b) = -b**3 + 7*b**2 + 6*b + 12. What is t(8)?
-4
Let b(k) = 11*k - 360. Calculate b(32).
-8
Let n(c) = -c - 6. Give n(2).
-8
Let x(c) = 3*c**2 - 14*c + 13. Give x(6).
37
Let b(l) = -l**2 + 9*l - 14. Calculate b(6).
4
Let y(q) = 3*q + 5. What is y(-3)?
-4
Let v(h) = -9*h - 1. Determine v(3).
-28
Let h(m) = m + 18. What is h(-19)?
-1
Let d(j) = -4*j**2 + 9*j - 18. Calculate d(6).
-108
Let h(z) = -z**3 + 8*z**2 + 4*z - 82. What is h(7)?
-5
Let i(d) = -2*d**3 - 87*d**2 - 40*d + 121. What is i(-43)?
-8
Let l(h) = -16*h - 67. Calculate l(-5).
13
Let a(q) = -q**3 + 2*q**2 + q - 6. Calculate a(2).
-4
Let h(w) = w**2 - 8*w - 179. Give h(-10).
1
Let q(l) = -2*l**3 - l**2 + 2*l - 2. What is q(-2)?
6
Let l(r) = -r**3 + 16*r**2 - 46*r - 18. What is l(12)?
6
Let s(o) = 23*o**3 + o**2 + o - 1. Calculate s(1).
24
Let f(z) = 2*z**3 - 35*z**2 - 10*z - 150. Give f(18).
-6
Let o(n) = 3*n**3 - 2*n**2 + 16*n + 18. What is o(-1)?
-3
Let l(x) = -54*x**3 + x**2 - 5*x - 5. Determine l(-1).
55
Let c(b) = 6*b + 16. What is c(-7)?
-26
Let u(o) = -o - 5. Determine u(-8).
3
Let o(u) = 9*u**3 - u**2 + 3*u + 5. Give o(-2).
-77
Let b(k) = -k**2 - k + 14. Determine b(0).
14
Let l(z) = 4*z - 1. Calculate l(8).
31
Let k(t) = -t**2 - 9*t - 19. Calculate k(-3).
-1
Let q(g) = 3*g + 19. What is q(-6)?
1
Let b(m) = m**3 - 8*m**2 + 5*m + 3. Give b(6).
-39
Let v(r) = -r**3 - 4*r**2 + 3*r + 5. Calculate v(-4).
-7
Let g(y) = -y - 3. Determine g(-6).
3
Let o(v) = v**2 - 2*v - 29. Give o(7).
6
Let h(u) = 8*u - 4. Determine h(1).
4
Let i(s) = s**2 + 7*s. What is i(-5)?
-10
Let d(g) = g**3 + 16*g**2 + g - 203. What is d(-15)?
7
Let n(u) = u**2 - 10*u - 7. Calculate n(9).
-16
Let a(h) = -15*h + 1. What is a(5)?
-74
Let r(f) = 2*f**3 + 2*f**2 + f - 3. Determine r(-2).
-13
Let z(v) = v**3 + 23*v**2 + 42*v + 9. What is z(-21)?
9
Let r(a) = a**3 + 5*a**2 + a - 1. Calculate r(-4).
11
Let u(p) = 18*p + 60. Calculate u(-4).
-12
Let l(p) = p**2 + 21*p + 18. Determine l(-20).
-2
Let m(u) = 4*u - 153. Calculate m(39).
3
Let s(h) = h**2 + 5*h - 105. What is s(-13)?
-1
Let y(t) = -5*t + 6. Calculate y(4).
-14
Let w(m) = 5*m - 45. Give w(8).
-5
Let t(b) = b - 13. What is t(12)?
-1
Let c(h) = h - 15. What is c(16)?
1
Let x(r) = 4*r + 1. What is x(-1)?
-3
Let b(f) = -f**3 - 7*f**2 + 31*f + 16. What is b(-10)?
6
Let m(n) = n**2 + n. Determine m(5).
30
Let l(a) = -2*a**2 - 18*a - 63. Calculate l(-3).
-27
Let x(j) = j**3 + 2*j**2 + j + 9. What is x(0)?
9
Let o(q) = -2*q**2 - 2*q - 7. Determine o(-6).
-67
Let r(b) = 17*b - 21. Give r(8).
115
Let d(s) = -s**2 - 17*s - 24. Give d(-10).
46
Let k(r) = 9*r + 3. Calculate k(-3).
-24
Let j(m) = -m**2 + 29*m + 24. What is j(30)?
-6
Let d(v) = -24*v - 2. Give d(3).
-74
Let x(h) = -18*h + 60. What is x(4)?
-12
Let t(w) = -2*w**3 - 41*w**2 + 23*w + 38. Calculate t(-21).
-4
Let b(w) = -5*w + 37. Determine b(7).
2
Let s(a) = -a**2 - 5*a + 3. Calculate s(-7).
-11
Let v(l) = -95*l - 5. Determine v(1).
-100
Let d(v) = -v**3 - 6*v**2 - 6*v - 5. What is d(-4)?
-13
Let d(y) = 50*y + 755. Determine d(-15).
5
Let i(g) = g**3 - 6*g**2 - 5*g + 1. Give i(7).
15
Let o(m) = -m**2 - m - 21. Give o(0).
-21
Let j(z) = -2*z - 33. Give j(-6).
-21
Let z(n) = 7*n - 58. Determine z(8).
-2
Let u(f) = f**2 + 9*f + 5. What is u(-10)?
15
Let k(f) = -f**3 - 17*f**2 + 19*f + 25. What is k(-18)?
7
Let a(q) = -3*q + 41. Determine a(11).
8
Let c(d) = d**2 + 17*d - 34. Give c(-19).
4
Let k(n) = 2*n**2 + n - 13. Calculate k(0).
-13
Let m(b) = -12*b - 17. Determine m(-2).
7
Let x(a) = -6*a**2 - a - 3. What is x(-2)?
-25
Let c(n) = 12*n**2 + 5*n - 2. What is c(3)?
121
Let y(n) = n**3 - 13*n**2 + 13*n + 12. What is y(12)?
24
Let i(k) = -k**3 - 8*k**2 - 3*k + 10. Give i(-7).
-18
Let x(k) = -2*k**2 + 12*k - 15. What is x(5)?
-5
Let h(z) = 3*z**2 - 5*z + 2. Give h(4).
30
Let c(o) = 4*o + 58. What is c(-17)?
-10
Let v(i) = i**3 + 7*i**2 - 11*i + 46. What is v(-9)?
-17
Let f(q) = q**3 + 14*q**2 + 19*q + 4. Determine f(-12).
64
Let b(t) = -t**3 - 8*t**2 + 23. Give b(-7).
-26
Let g(n) = 3*n - 6. Determine g(-9).
-33
Let x(v) = -8*v - 6. Calculate x(-5).
34
Let v(u) = u**2 - 4*u + 1. Give v(3).
-2
Let w(u) = -u**3 + 5*u**2 - 3*u + 11. Calculate w(5).
-4
Let h(x) = -x + 3. What is h(-3)?
6
Let p(g) = -g**3 - 5*g**2 + 6*g + 2. What is p(-6)?
2
Let g(t) = 6*t + 18. Calculate g(-14).
-66
Let j(z) = 2*z - 41. What is j(20)?
-1
Let u(m) = 13*m - 39. Give u(3).
0
Let i(d) = d + 9. What is i(9)?
18
Let y(n) = -7*n - 84. Calculate y(-10).
-14
Let h(a) = -3*a**2 + 41*a + 122. What is h(16)?
10
Let k(g) = g**3 + 8*g**2 - 27*g - 55. Give k(-10).
15
Let l(f) = -3*f**2 + 24*f - 39. Calculate l(6).
-3
Let z(h) = -2*h**3 + 6*h**2 + 3. Determine z(3).
3
Let b(y) = -y**2 + 7*y - 4. Calculate b(6).
2
Let d(o) = 4*o**3 + 33*o**2 - 26*o + 1. Calculate d(-9).
-8
Let y(o) = -o**2 + 4*o - 4. Determine y(5).
-9
Let w(x) = 6*x - 13. Determine w(-7).
-55
Let n(m) = m**3 + 17*m**2 - 86*m - 52. Determine n(-21).
-10
Let d(w) = -w**3 - 15*w**2 + 16*w - 16. Determine d(-16).
-16
Let t(f) = 7*f**2 + 42*f - 5. Determine t(-6).
-5
Let l(j) = 6*j + 4. What is l(5)?
34
Let h(i) = -i**3 + 8*i**2 + 28*i - 8. Give h(11).
-63
Let b(r) = -r**2 - 1. Determine b(4).
-17
Let r(g) = -g**3 + 2*g**2 + 5*g + 3. What is r(4)?
-9
Let j(z) = z**3 - 17*z**2 + 3*z - 50. Determine j(17).
1
Let l(v) = v**3 - 23*v**2 - 22*v - 52. Calculate l(24).
-4
Let y(u) = -3*u - 14. Determine y(-4).
-2
Let z(y) = 3*y - 16. What is z(6)?
2
Let b(q) = 14*q - 1. Determine b(1).
13
Let v(s) = -8*s - 4. Determine v(-3).
20
Let t(o) = 36*o**3 - o**2 + 1. Calculate t(-1).
-36
Let g(t) = -t**2 + 3*t + 17. What is g(6)?
-1
Let y(f) = 34*f - 190. Give y(7).
48
Let a(u) = -u**3 - 16*u**2 - 30*u - 30. Determine a(-14).
-2
Let d(n) = n**3 - 5*n**2 + 4*n + 11. Calculate d(4).
11
Let v(q) = q**2 + 15*q - 55. Calculate v(-18).
-1
Let n(g) = 2*g - 16. Determine n(6).
-4
Let h(q) = -2*q**3 + 10*q**2 + q + 6. Determine h(4).
42
Let t(l) = -l**2 - 6*l + 10. Determine t(-7).
3
Let a(v) = 6*v**3 + 2*v**2 - v. Calculate a(1).
7
Let t(z) = 3*z - 30. Determine t(17).
21
Let v(d) = d**3 - 11*d**2 + 9*d + 9. Calculate v(10).
-1
Let f(h) = h + 10. Give f(-17).
-7
Let a(v) = v**2 - 9*v - 25. Give a(-3).
11
Let i(k) = -k**2 - 7*k - 4. Determine i(-6).
2
Let u(d) = 3*d - 8. Determine u(-7).
-29
Let m(n) = n**2 - 22*n - 104. Determine m(26).
0
Let z(w) = -26*w + 31. Calculate z(1).
5
Let j(o) = 2*o. Calculate j(-2).
-4
Let k(i) = 7*i - 89. Calculate k(14).
9
Let s(q) = q**2 + 24*q - 58. Determine s(-26).
-6
Let v(l) = l**2 - 12*l + 14. Give v(8).
-18
Let m(c) = c**3 + 7*c**2 - 8*c + 1. Determine m(-8).
1
Let i(f) = -f**3 - 5*f**2 - 3*f - 18. Calculate i(-5).
-3
Let b(v) = -3*v - 1. Determine b(-2).
5
Let o(w) = w**3 + 16*w**2 - 2*w - 17. Calculate o(-16).
15
Let l(s) = -s**3 - 2*s**2 - 2*s + 2. What is l(-2)?
6
Let h(i) = -2*i**2 - 3*i + 3. Give h(2).
-11
Let d(r) = r**3 - 20*r**2 + 16*r - 23. Determin | {
"pile_set_name": "DM Mathematics"
} |
z, x, b?
z
Let k = -349 - -326. Let i = 0.1 - 0.3. What is the biggest value in i, k, -1/3?
i
Let d = -5 + 5.5. What is the smallest value in -14, d, 0.3, -0.4?
-14
Let f be 3493/49 + (-8)/2. Let z = f + -67. Let x = -5 + 5.4. Which is the smallest value? (a) x (b) z (c) 2
b
Let p = -340 + 342. What is the biggest value in 4, -5, p?
4
Let n be (-4)/((-8)/(-14)) - -2. Let r = n - -37/7. Which is the fourth smallest value? (a) r (b) 3 (c) -3 (d) 0.3
b
Let w(i) = -i + 10. Let k be w(8). Suppose 3*h = k*f + 17, 3*f - f = -5*h + 7. Let y be (-1)/2 - (-6)/f. Which is the smallest value? (a) 1/5 (b) -0.3 (c) y
c
Let o = -0.04 + 0.64. Suppose 100 = -79*f + 84*f. Suppose f = 258*z - 254*z. What is the smallest value in o, 0, z?
0
Let f = 1.4 - 3.4. Let c = -516 + 512. What is the second smallest value in f, 5, c?
f
Let x(p) = p**2 + 11*p. Let q be x(-11). What is the biggest value in q, -1/3, 5, -13?
5
Let r be (57/38)/(-1 + (-34)/8). What is the smallest value in r, -2/83, -4?
-4
Let m be 3*-3*2/(-18). Let o = 4.9 - 3.6. Let u = -5.3 + o. Which is the biggest value? (a) -20 (b) u (c) m
c
Let k = -927 + 922. Let v(o) = -o**2 + 5*o - 6. Let u be v(5). What is the biggest value in 1, u, k?
1
Let f = 1/4 + -1/2. Let x = 656/15 - 130/3. Which is the smallest value? (a) f (b) x (c) -2/11 (d) 4
a
Let s = -0.07 + -0.43. Let y = 5 - 3. Let d = 0.07 + 4.93. What is the second biggest value in s, d, y?
y
Let n = -17.518 + 1.518. Which is the biggest value? (a) -2 (b) -7 (c) n
a
Let i be 575/(-20)*(-16)/(-2651). Let r = 2/241 - i. Which is the second biggest value? (a) -3 (b) 5 (c) r
c
Suppose -c + 6*t = 4*t + 385, -4*t = 3*c + 1145. What is the third biggest value in 0.3, c, 2?
c
Let v = 4.78 - 0.78. Let r = -62.24 - -62. What is the third biggest value in -1/2, v, r?
-1/2
Suppose -a = -4*l - 44, -124 = -5*a - l - 9. What is the third smallest value in -5, a, 0?
a
Let s = -14.1 + 0.1. Let v = s + 20. Let i = v - 8. Which is the third smallest value? (a) 5 (b) i (c) 3/4
a
Let j(s) = 28*s + 138. Let l be j(-5). Which is the third biggest value? (a) 4/3 (b) 4 (c) -22 (d) l
d
Let j = -3 + 41/14. Which is the second biggest value? (a) 2/5 (b) j (c) -3
b
Let d be (-2)/(-28) + (-5 - (-304)/56). Which is the second biggest value? (a) -0.4 (b) -26 (c) d
a
Let d = -2.6 + 5. Let o = -5.2 + d. Let l = o + 2.4. Which is the second smallest value? (a) -0.5 (b) -5/3 (c) l
a
Suppose t + 7 = 4. Let h = 17 - 14. Let v = 0 - 0.3. Which is the second biggest value? (a) h (b) t (c) v
c
Let s = 1 - -5. Let y = 5.7 - s. Let t be ((1240/(-336))/(-31) - 3/(-18))/1. What is the smallest value in t, y, 1?
y
Suppose -118*q + 8 = -122*q. Let n be (-56)/18 + (1 - q). What is the biggest value in 0.1, n, 0.5?
0.5
Let g = 1114 - 1110. Which is the fourth smallest value? (a) g (b) 3 (c) -1 (d) 33
d
Let o = 116 - 96. Let h = o + -17. Which is the third smallest value? (a) -0.4 (b) -16 (c) h
c
Let u(y) = -y**3 - 6*y**2 - 2*y. Let c be u(-5). Let a be (1 - -1)*((-85)/c + -6). What is the third biggest value in a, -0.4, 0.9?
a
Let c = -10.52 + 50.52. What is the biggest value in c, 3, 1?
c
Let y be 44/52 - (0 + 1). Let h(j) = -j - 15. Let u be h(-8). Let s be (2/(-15))/(-1) + (-5)/(-25). Which is the smallest value? (a) s (b) y (c) u
c
Let m = -110 - -82. Let o = m + 27.943. Which is the second smallest value? (a) 3 (b) -2 (c) o
c
Let n = -13.8 + 14. Let g be (-1)/3*(18 + -21). Which is the third smallest value? (a) 2/7 (b) -7/2 (c) g (d) n
a
Let s = 106/115 + -12/23. Let n = 27 - 29. Suppose p - 6 = -2*p. What is the second smallest value in p, n, s?
s
Let f = 517 + -3617/7. What is the fourth smallest value in f, -0.3, 2/15, 1.2?
1.2
Let m = -11 - -8. Let h = m + -1. Let j be (-2)/1 + 6 + -5. Which is the smallest value? (a) h (b) j (c) 2/5
a
Let p = 87 + -84. Let f be (1 + 1)/(4/14). Let g be (-21)/3*(-6)/f. What is the second biggest value in p, g, 0.1?
p
Let o = -0.3 + 0.8. Let d = -6700 + 6705. What is the third biggest value in o, d, 7, 4/3?
4/3
Let f = 8 + -23. Let n be (-10)/25 + (-6)/f. Let x = -70 + 67. Which is the smallest value? (a) n (b) 5 (c) x
c
Suppose -2*j + 168 = 2*v, 5*j - 5*v - 62 - 368 = 0. What is the fourth biggest value in j, 0, -7, 0.2?
-7
Let k = 18 - 27. Let d = -6.03 + 0.03. Let q = d - k. Which is the third smallest value? (a) -5/6 (b) q (c) -4
b
Let h = -1070.4 - -1065.483. Let q = 0.083 - h. Which is the smallest value? (a) -3 (b) 3/2 (c) -1/2 (d) q
a
Let d = 19 - 32. Let u = d + 14. Let w = 4 - u. Which is the biggest value? (a) 5/6 (b) -2 (c) w
c
Let h = -3 + -1. Let w be (-2 + (-27)/(-12))*-2. What is the biggest value in w, 3/4, h?
3/4
Let q = -34.9 + 34.4. Which is the second smallest value? (a) 2/15 (b) q (c) 1/13 (d) -0.4
d
Suppose -10 = -8*r + 3*r. Let m = 194/85 - 12/5. Which is the second smallest value? (a) -1/3 (b) r (c) m
c
Let d = -9.9 + 0.7. Let z = -8.9 - d. What is the third smallest value in -29, 1, z?
1
Let h = -0.32 - -0.02. Let l = h - -0.3. Let a be -1 + 1 + -2 - 605/(-363). What is the biggest value in l, a, -0.4?
l
Let l be -5 + 1 + 2 - -72. Let j be l/28 - 2/(-4). What is the second biggest value in -0.11, 2, j?
2
Let h = -0.7 - -7.3. Let v = 8 - h. Let j = 1.4 - v. What is the second smallest value in 1/5, -5, j?
j
Let h = -42267 - -253601/6. Let d = 1202 + -22830/19. Let f = d - 94/133. What is the biggest value in h, f, 2/5?
2/5
Let x = 47.3 - 65.3. Which is the smallest value? (a) -4 (b) 1/3 (c) x (d) -2/3
c
Let w = 2371/69387 - 13/303. Let r = 452/687 - w. Let f = 2 - 1. Which is the biggest value? (a) -3 (b) f (c) r
b
Let j = 145/1442 - 3/103. Let o = 5.884 + -0.884. Which is the second smallest value? (a) -2 (b) o (c) j (d) 1/6
c
Let g(s) = s**2 - 3*s. Let i be g(7). Let k = i + -25. Suppose -3 = -5*r + k*d, -d = -5*r + 3*d + 4. Which is the smallest value? (a) 2/9 (b) 0.4 (c) r
c
Let q = -1185449/61467 - -2/8781. What is the biggest value in q, 2/13, -3?
2/13
Suppose 11*a - 22 = 22*a. What is the second biggest value in 0.9, -1, a, 7?
0.9
Let o = -1890 + 1870. Let d = 5 - 2. Which is the third biggest value? (a) o (b) d (c) 0.3
a
Let o be 4/(39/(-9) - -1). Let y = 56 + -842/15. What is the third biggest value in 1, o, y?
o
Let f = 22.03 + -19.03. Let j = 378 + -2275/6. Which is the third smallest value? (a) 0 (b) f (c) j
b
Let k = -11 + 6. Let b be -15 - (22 - 9101/247). What is the fourth biggest value in -4, k, 3, b?
k
Let v = -5.0337 - -0.0337. Let g be (-9)/(-21)*(-4)/(-6). Which is the second smallest value? (a) v (b) -3 (c) g (d) 1
b
Let n = 0.354 + 2.666. Let x = 0.02 - n. Let s = -2.1 - -2. What is the biggest value in -1, x, s?
s
Let p = 12.96 - 4.96. What is the smallest value in -0.5, p, 1/2, 1?
-0.5
Let j = 28.89 - 29. Let y = -3.89 + j. Let l = -0.0197 + 0.0297. Which is the second smallest value? (a) y (b) l (c) -2
c
Let x = -13 + 13. Suppose 7*d - 2*d = 105. Let o(a) = -a + 16. Let p be o(d). What is the biggest value in p, x, -2?
x
Let x be 3/(-6)*4/(-23). What is the fourth biggest value in x, -1/4, -0.4, -1?
-1
Let v = -5582/9 - -620. Which is the fourth biggest value? (a) v (b) -19 (c) -5 (d) 3
b
Let r = -1.1 - -7.1. Let j = 8 - r. Let s = -10597.9 - -10598. Which is the second smallest value? (a) j (b) s (c) -3
b
Let w = 284 - 264. What is the second smallest value in 1, 1/2, w?
1
Let z = -11.58 + 12. Let q = z - 2.32. Let y = 11.4 - 11. Which is the smallest value? (a) y (b) 2/9 (c) q
c
Let t be (-16)/(-18) + 18/(-81). Let n = 0.17 - 9.17. Let h = n + 4. Which is the second smallest value? (a) 4 (b) h (c) t
c
Let u = 1.1 - 0.9. What is the second biggest value in u, -5, 0.06, -2?
0.06
Let i = 4/17 + 73/51. What is the smallest value in i, 0.3, -3, -0.3?
-3
Let x be ((-8)/(-26))/((-612)/(-1326)). Let h = -5069 - -410584/81. Let w = h - 29/405. Which is the third biggest value? (a) w (b) x (c) 0.1
a
Let s = -256 - -259. What is the smallest value in 0.1, -2, s, 1?
-2
Let p = 2 + 3. Let f = 0.092 - 6.092. Let o = f + 1. What is the third biggest value in p, -3, o?
o
Let i(u) = 26*u + 4. Let l be i(8). Let p be -1 + 0 + 214/l. Let j = p - -79/53. Which is the biggest value? (a) 2 (b) 1/ | {
"pile_set_name": "DM Mathematics"
} |
h**2 + 768*h - 25
What is the x'th term of 69, 282, 643, 1158, 1833?
x**3 + 68*x**2 + 2*x - 2
What is the r'th term of -145, -147, -149, -151, -153?
-2*r - 143
What is the n'th term of 486, 479, 460, 423, 362, 271, 144, -25?
-n**3 + 487
What is the t'th term of -42039, -42037, -42035, -42033, -42031?
2*t - 42041
What is the d'th term of -87, -88, -77, -48, 5, 88?
d**3 - 8*d - 80
What is the h'th term of 497, 490, 483?
-7*h + 504
What is the f'th term of -46, -188, -416, -724, -1106, -1556, -2068?
f**3 - 49*f**2 - 2*f + 4
What is the w'th term of 1105, 1088, 1071, 1054?
-17*w + 1122
What is the o'th term of 19, 67, 115, 163?
48*o - 29
What is the n'th term of -6789, -6786, -6779, -6768, -6753, -6734, -6711?
2*n**2 - 3*n - 6788
What is the i'th term of -111, -98, -53, 42, 205, 454?
3*i**3 - 2*i**2 - 2*i - 110
What is the p'th term of -113, -54, 5, 64, 123, 182?
59*p - 172
What is the h'th term of 142, 133, 126, 121, 118?
h**2 - 12*h + 153
What is the c'th term of -53, -109, -165, -221, -277, -333?
-56*c + 3
What is the j'th term of -115, -103, -79, -37, 29, 125, 257, 431?
j**3 + 5*j - 121
What is the c'th term of -56, -105, -140, -155, -144, -101?
c**3 + c**2 - 59*c + 1
What is the y'th term of -30, -252, -856, -2034, -3978, -6880, -10932?
-32*y**3 + y**2 - y + 2
What is the a'th term of 699, 697, 695?
-2*a + 701
What is the h'th term of 65, 119, 161, 191, 209, 215?
-6*h**2 + 72*h - 1
What is the l'th term of -506, -541, -576?
-35*l - 471
What is the i'th term of 4, 11, 24, 43, 68, 99, 136?
3*i**2 - 2*i + 3
What is the w'th term of 11, 25, 41, 59, 79, 101?
w**2 + 11*w - 1
What is the b'th term of 16, 38, 74, 130, 212, 326?
b**3 + b**2 + 12*b + 2
What is the i'th term of 58, 71, 84, 97?
13*i + 45
What is the j'th term of 93, 87, 87, 99, 129?
j**3 - 3*j**2 - 4*j + 99
What is the l'th term of 321, 330, 345, 366?
3*l**2 + 318
What is the u'th term of 1272, 1271, 1270, 1269, 1268?
-u + 1273
What is the a'th term of -477, -486, -495, -504, -513?
-9*a - 468
What is the a'th term of -13524, -13519, -13512, -13503, -13492?
a**2 + 2*a - 13527
What is the t'th term of -595, -1183, -1771, -2359, -2947?
-588*t - 7
What is the s'th term of -8, 11, 60, 139, 248?
15*s**2 - 26*s + 3
What is the d'th term of -26, -100, -224, -398, -622?
-25*d**2 + d - 2
What is the y'th term of 15147, 30296, 45447, 60600, 75755, 90912, 106071?
y**2 + 15146*y
What is the w'th term of 511, 512, 513?
w + 510
What is the h'th term of 38, 86, 138, 194?
2*h**2 + 42*h - 6
What is the a'th term of -503, -459, -415, -371, -327, -283?
44*a - 547
What is the v'th term of 1, 9, 39, 103, 213, 381, 619, 939?
2*v**3 - v**2 - 3*v + 3
What is the f'th term of -5957, -5970, -5997, -6044, -6117, -6222, -6365?
-f**3 - f**2 - 3*f - 5952
What is the t'th term of 62, 125, 188, 251, 314?
63*t - 1
What is the y'th term of -58, -210, -470, -844, -1338, -1958?
-y**3 - 48*y**2 - y - 8
What is the x'th term of 246, 237, 224, 207, 186?
-2*x**2 - 3*x + 251
What is the t'th term of -112, -224, -336, -448?
-112*t
What is the h'th term of -2429, -2431, -2433?
-2*h - 2427
What is the c'th term of -1548, -3096, -4644?
-1548*c
What is the l'th term of 0, -2, -4, -6, -8?
-2*l + 2
What is the i'th term of -1, 0, -1, -4, -9?
-i**2 + 4*i - 4
What is the v'th term of -124, -119, -114, -109, -104, -99?
5*v - 129
What is the r'th term of 3186, 6371, 9556, 12741?
3185*r + 1
What is the w'th term of 156, 628, 1414, 2514, 3928, 5656?
157*w**2 + w - 2
What is the d'th term of -82, -91, -112, -151, -214, -307?
-d**3 - 2*d - 79
What is the i'th term of 88, 79, 66, 49?
-2*i**2 - 3*i + 93
What is the w'th term of 1397, 2795, 4193, 5591?
1398*w - 1
What is the h'th term of 189, 186, 183, 180?
-3*h + 192
What is the m'th term of -2110, -4222, -6336, -8452, -10570, -12690?
-m**2 - 2109*m
What is the k'th term of -9, -57, -145, -279, -465, -709, -1017?
-k**3 - 14*k**2 + k + 5
What is the j'th term of 134, 270, 406, 542?
136*j - 2
What is the u'th term of -3, -6, -19, -48, -99, -178, -291?
-u**3 + u**2 + u - 4
What is the l'th term of -3096, -3088, -3080, -3072?
8*l - 3104
What is the l'th term of 16, 18, 30, 58, 108, 186?
l**3 - l**2 - 2*l + 18
What is the q'th term of -43, -91, -141, -193?
-q**2 - 45*q + 3
What is the r'th term of 740, 736, 732?
-4*r + 744
What is the h'th term of -15, -7, 3, 15, 29, 45?
h**2 + 5*h - 21
What is the d'th term of 51161, 51160, 51159, 51158?
-d + 51162
What is the w'th term of -516, -523, -532, -543, -556, -571, -588?
-w**2 - 4*w - 511
What is the t'th term of 173, 173, 171, 167?
-t**2 + 3*t + 171
What is the k'th term of -93, -85, -67, -33, 23, 107, 225, 383?
k**3 - k**2 + 4*k - 97
What is the t'th term of 17386, 17387, 17388, 17389, 17390, 17391?
t + 17385
What is the m'th term of -8143, -8144, -8145, -8146, -8147?
-m - 8142
What is the r'th term of 254, 508, 762, 1016, 1270?
254*r
What is the z'th term of -48, -64, -104, -180, -304, -488?
-2*z**3 - 2*z - 44
What is the f'th term of 44, 129, 286, 551, 960?
6*f**3 + 43*f - 5
What is the w'th term of -1079, -1083, -1099, -1133, -1191?
-w**3 + 3*w - 1081
What is the i'th term of 5, 13, 37, 83, 157, 265?
i**3 + 2*i**2 - 5*i + 7
What is the t'th term of 10330, 20660, 30990?
10330*t
What is the v'th term of -36, -66, -104, -144, -180, -206, -216?
v**3 - 10*v**2 - 7*v - 20
What is the h'th term of 370, 361, 338, 295, 226, 125, -14, -197?
-h**3 - h**2 + h + 371
What is the z'th term of -52, -126, -218, -334, -480, -662?
-z**3 - 3*z**2 - 58*z + 10
What is the j'th term of -74, -163, -252?
-89*j + 15
What is the b'th term of -6, -34, -70, -108, -142, -166?
b**3 - 10*b**2 - 5*b + 8
What is the z'th term of -95, -75, -47, -11, 33, 85?
4*z**2 + 8*z - 107
What is the l'th term of 27, 33, 37, 39, 39?
-l**2 + 9*l + 19
What is the i'th term of -76, -168, -260, -352, -444, -536?
-92*i + 16
What is the w'th term of 306, 617, 932, 1251, 1574, 1901, 2232?
2*w**2 + 305*w - 1
What is the d'th term of 104, 114, 124?
10*d + 94
What is the a'th term of -77, -3, 201, 601, 1263, 2253?
11*a**3 - a**2 - 87
What is the q'th term of 445, 447, 449, 451, 453?
2*q + 443
What is the y'th term of -4091, -4097, -4103, -4109, -4115, -4121?
-6*y - 4085
What is the d'th term of 130, 133, 138, 145?
d**2 + 129
What is the l'th term of -8, -3, 2, 7, 12, 17?
5*l - 13
What is the h'th term of -16, -50, -108, -202, -344?
-2*h**3 - 20*h + 6
What is the m'th term of -201, 6, 571, 1674, 3495, 6214?
30*m**3 - m**2 - 230
What is the j'th term of -41, -80, -197, -434, -833, -1436, -2285, -3422?
-7*j**3 + 3*j**2 + j - 38
What is the o'th term of -1, -12, -25, -40, -57, -76, -97?
-o**2 - 8*o + 8
What is the f'th term of 4, 11, 20, 31?
f**2 + 4*f - 1
What is the i'th term of -16, -54, -94, -136, -180?
-i**2 - 35*i + 20
What is the i'th term of -15214, -15213, -15212, -15211?
i - 15215
What is the a'th term of 619, 623, 627, 631?
4*a + 615
What is the x'th term of 9151, 9146, 9129, 9094, 9035?
-x**3 + 2*x + 9150
What is the c'th term of -807, -806, -805?
c - 808
What is the w'th term of -152, -149, -146?
3*w - 155
What is the w'th term of 11, 32, 65, 116, 191, 296?
w**3 + 14*w - 4
What is the p'th term of 173, 353, 535, 719?
p**2 + 177*p - 5
What is the w'th term of 25, 36, 55, 82, 117, 160?
4*w**2 - w + 22
What is the b'th term of 2390, 2388, 2386, 2384, 2382, 2380?
-2*b + 2392
What is the d'th term of -93, -110, -137, -174?
-5*d**2 - 2*d - 86
What is the s'th term of 78, 152, 230, 312?
2*s**2 + 68*s + 8
What is the q'th term of 461, 923, 1385, 1847, 2309?
462*q - 1
What is the a'th term of -60, -62, -78, -114, -176, -270, -402, -578?
-a**3 - a**2 + 8*a - 66
What is the g'th term of -1315, -1327, -1343, -1363, -1387?
-2*g**2 - 6*g - 1307
What is the s'th term of 11, 6, -3, -16?
-2*s**2 + s + 12
What is the s'th term of -63, -125, -187, -249?
-62*s - 1
What is the s'th term of 24, 32, 40?
8*s + 16
What is the l'th term of 31, 167, 393, 709, 1115, 1611?
45*l**2 + l - 15
What is the a'th term of -423, -478, -537, -600, -667, -738, -813?
-2*a**2 - 49*a - 372
What is the r'th term of 2, -42, -114, -214, -342, -498?
-14*r**2 - 2*r + 18
What is the f'th term of -143, -140, -135, -128, -119?
f**2 - 144
What is the m'th term of 3391, 3389, 3387?
-2*m + 3393
What is the v'th term of 70, 93, 140, 217, 330, 485, | {
"pile_set_name": "DM Mathematics"
} |
lify 6*4*2*(((3*sqrt(196) + sqrt(196))*-2)/sqrt(7))**2.
86016
Simplify (((sqrt(50) + 5*(sqrt(50) + sqrt(1250)))/sqrt(320))/(sqrt(80)*-2 + sqrt(40)/(-3*sqrt(8))))**2.
8649/20000
Simplify (((sqrt(1700)*2 - sqrt(1700)) + sqrt(1700))*-5 + (1 + sqrt(1700) + sqrt(1700) + 1 - sqrt(1700)) + (sqrt(1700) + 1 - sqrt(1700)) + -1 + -4)**2*4*5.
7200*sqrt(17) + 2754080
Simplify 6*((sqrt(1100) + -2 - sqrt(1100)) + sqrt(1100) + sqrt(1100))**2*-6 + -1*(sqrt(176) + 0) + -4.
-158548 + 2876*sqrt(11)
Simplify (4*-4*sqrt(104) - (sqrt(104) - (sqrt(104) - (sqrt(104) + -3*sqrt(104)*2))))/(sqrt(8)*-2*6 + sqrt(8) + 3*sqrt(16)/sqrt(2)).
11*sqrt(13)/8
Simplify -5*(1 + sqrt(931) - (2*sqrt(228))/sqrt(12))**2 + (-4*(2 + sqrt(475) + -3 + sqrt(19)))**2 + 5.
-242*sqrt(19) + 8585
Simplify ((sqrt(1216) + -3 + -4 + sqrt(1216))*-2)**2 + -1 + ((sqrt(114)/sqrt(6))**2 + sqrt(19))*-2 + -1.
-898*sqrt(19) + 19612
Simplify -5 + (2*(sqrt(2793) + (sqrt(2793) - (sqrt(2793)*3 + sqrt(2793) + sqrt(2793) + sqrt(2793)))))/(sqrt(363) + sqrt(363) + -2*sqrt(363)*-6 + sqrt(363)).
-5 - 56*sqrt(19)/165
Simplify (((sqrt(216) - (-5*sqrt(216) + sqrt(216)))/sqrt(6) + sqrt(36))/(sqrt(22)/(2*sqrt(11)*-4 + sqrt(11))))**2.
31752
Simplify ((sqrt(21) - (sqrt(21) + sqrt(42)/sqrt(2))*3) + sqrt(21)*-2*-3)/(2*sqrt(252)*4*-4).
-sqrt(3)/192
Simplify ((sqrt(24) + -2*sqrt(1944))/(sqrt(66)/sqrt(99)))/((1*sqrt(1408) + sqrt(1408))/(sqrt(33)/sqrt(12))).
-51*sqrt(2)/32
Simplify 4 + ((-1*sqrt(1536))/((sqrt(84)*-3)/sqrt(7)) + 0)*3 + 5.
9 + 8*sqrt(2)
Simplify (4*(sqrt(98) + 0 + 5))**2 - ((sqrt(162))**2*-4 - (sqrt(2) - (-1 + 0 + sqrt(2)))**2).
1120*sqrt(2) + 2617
Simplify (6*2*sqrt(1792)*-6)/(sqrt(4) + sqrt(256) + (sqrt(256)*-2 - sqrt(256)) + (-4*sqrt(40))/sqrt(10)).
576*sqrt(7)/19
Simplify (3*(sqrt(32)/(-1*sqrt(4)) - 1*sqrt(200)))/(((sqrt(288) + 1*sqrt(288) + sqrt(288))/sqrt(8))/(sqrt(45)/(-2*sqrt(5)))).
3*sqrt(2)
Simplify (4*sqrt(1100)*-4)**2 + (-3*sqrt(1100)*-2 - sqrt(1100)) + (3*((sqrt(1100) - (-2*sqrt(1100) + sqrt(1100))) + sqrt(1100) + -2))**2*-5.
-164080 + 5450*sqrt(11)
Simplify (6*-4*(sqrt(44) - ((sqrt(484)*1)/sqrt(11) - sqrt(44))))/(sqrt(12)/(sqrt(3) + sqrt(147)) - sqrt(108)/sqrt(3)).
192*sqrt(11)/23
Simplify 3*(sqrt(352) - -1*sqrt(352)*3)/((-1*sqrt(64))/sqrt(8)) + 1.
-24*sqrt(11) + 1
Simplify (((sqrt(320) - (sqrt(320) - (0 + sqrt(320) + sqrt(320)))*-6) + sqrt(320) + sqrt(320)*2*2 - 3*(sqrt(320) + 4*-2*sqrt(320))) + -2)**2.
-672*sqrt(5) + 141124
Simplify (-1 + -4 + (-2*sqrt(2448)*-2 + 2)*-4*-3)**2.
21888*sqrt(17) + 5640553
Simplify ((-4*sqrt(385)*2)/(sqrt(396)*-2 + sqrt(396) + sqrt(396) - sqrt(396)))/(1*sqrt(605)*2*-4).
-sqrt(7)/66
Simplify (6*sqrt(18) + sqrt(288)*-1 + 2)**2 - ((sqrt(12)/sqrt(2) - sqrt(6))*5 + sqrt(6))/((sqrt(12) + sqrt(3) + sqrt(3) + sqrt(3))*2).
239*sqrt(2)/10 + 76
Simplify 6*((sqrt(1100) + -1)*-3 - sqrt(1100))**2 - (-2 + (3 + (sqrt(2156) + -2 - sqrt(2156) - sqrt(2156) - sqrt(2156)))**2).
-1384*sqrt(11) + 97031
Simplify (4*sqrt(220)/sqrt(4) + sqrt(2695) + (-4*sqrt(2695) - sqrt(2695)))/(-2*(-2*sqrt(275) - (sqrt(704)*-2 - sqrt(704)))).
6*sqrt(5)/7
Simplify ((2 + (0 + (0 + sqrt(208) - sqrt(208)) + sqrt(208) + sqrt(208) + -1 + sqrt(208) + 3 - (sqrt(208) + -1 + 0 + -4)))*-3)**2.
1296*sqrt(13) + 8217
Simplify (sqrt(2600)*-2 + (-3*sqrt(130) + sqrt(130))/sqrt(5))/(sqrt(8)/sqrt(36) - -3*sqrt(2)*-1).
33*sqrt(13)/4
Simplify (-3*(-1*sqrt(100) - sqrt(100)) + sqrt(100) + 5*1*sqrt(100))/(sqrt(200) + sqrt(8)/(sqrt(4) - -3*sqrt(4))).
240*sqrt(2)/41
Simplify (6*(4 + -1*(sqrt(432) + 1)*-1 + 1 + -5*(sqrt(432) - (sqrt(432) - (sqrt(432) + 1)) - sqrt(432))))**2.
864*sqrt(3) + 15588
Simplify 0 + ((2 + -4*(sqrt(833) + 0) + 4*(0 + sqrt(833)) + 4 + 2*sqrt(833) + sqrt(833) + sqrt(833))*3)**2.
3024*sqrt(17) + 120276
Simplify (((6*sqrt(49)/sqrt(7) - 4*sqrt(700)) + (5 + 1*sqrt(7) + -6*(sqrt(7) - (sqrt(7) + 0) - sqrt(7)))*-6)*-6)**2.
164160*sqrt(7) + 1487952
Simplify (-6*(4 + (sqrt(1088) - sqrt(1088)*2 - sqrt(1088))) + 5)**2 + -3 + (0 + sqrt(1088) + 3 - -2*(sqrt(1088) + 1)**2).
-3608*sqrt(17) + 159211
Simplify (-3*(sqrt(80) - (0 + sqrt(80))) + sqrt(80) - (sqrt(80) + 2 + 0 - sqrt(80)))**2 - ((4 + sqrt(720) + 2)**2 + (-3 + 2*sqrt(720))**2).
-3561 - 16*sqrt(5)
Simplify sqrt(192) + 1 + 1 + (sqrt(192)*-3 - sqrt(192)) + 4 + (sqrt(192) + -1)*5*6 + -4.
-28 + 216*sqrt(3)
Simplify -5 + 5*((sqrt(171)*1)**2 + sqrt(2299)*-1 - ((sqrt(2299) + -2)*-4 + sqrt(2299))**2).
-102925 + 2585*sqrt(19)
Simplify (1*sqrt(3)*3 + 0 - ((sqrt(108)/sqrt(3)*2)/sqrt(12))**2) + -5 + 5 + 0.
-12 + 3*sqrt(3)
Simplify -2*-4*-3*((sqrt(95) - (sqrt(95) + (sqrt(95) - sqrt(95)*2*2)))/((sqrt(245) - (sqrt(245) + (sqrt(245) + -1*sqrt(245) - sqrt(245)))) + sqrt(5)) + 4).
-96 - 9*sqrt(19)
Simplify 2 + -4 + (2*(((sqrt(363)*-1 - sqrt(363))*3 - sqrt(363)) + -6*(sqrt(363) + (sqrt(363) - (sqrt(363) + 3 + sqrt(363)))) + 0))**2.
-11088*sqrt(3) + 72442
Simplify -3 + ((5*(sqrt(72) + 1)*1 + 1)**2 + -4)*1.
360*sqrt(2) + 1829
Simplify (4*(sqrt(448) + 1) + 0 + 1)**2 - 4*-1*((1 + sqrt(448))**2 + 0 - sqrt(448) - sqrt(448)).
320*sqrt(7) + 8989
Simplify (((sqrt(102) - (sqrt(102) + (sqrt(102) + 1*sqrt(102)*4 - sqrt(102)) - sqrt(102))) + sqrt(102)*4*-2)/((-1*sqrt(42))/sqrt(7) - 1*sqrt(384)))**2.
2057/81
Simplify -1 + ((1*sqrt(304) + sqrt(304) + sqrt(304) + -5)**2 + 0 + sqrt(304) + -2 - (sqrt(304) + (5 + sqrt(304) + 2 - sqrt(304)))**2*1) + 5.
-172*sqrt(19) + 2410
Simplify 1 + (-5 + -1 + sqrt(242) - (1*sqrt(242) + 4 + sqrt(242)) - 1*(3 + sqrt(242))*5)**2*-5.
-46684 - 16500*sqrt(2)
Simplify 4*(sqrt(28)*1*-4)/(-4*sqrt(4)*-6) + -5 + 3.
-2 - 2*sqrt(7)/3
Simplify (-4*(sqrt(228) - (sqrt(228) + (sqrt(228) - 3*sqrt(228)))) + (sqrt(228) - -3*sqrt(228)*-3) + sqrt(228))/(1*(sqrt(3888)*2)/sqrt(4)).
-5*sqrt(19)/6
Simplify (1 + -6*(5 + -5 + -5 + (sqrt(12)/sqrt(4) + -4 - (5 + sqrt(6)/sqrt(2)))))**2.
7225
Simplify (-2*sqrt(18))/sqrt(6) - sqrt(3) - (sqrt(48)*2 - sqrt(3)) - sqrt(84)/(-5*sqrt(343)).
-348*sqrt(3)/35
Simplify 2*(5 + sqrt(833) + 2 + -2)**2 - (4*(-6*sqrt(833)*-2 - ((sqrt(833) - (sqrt(833) + 1*sqrt(833))) + -3)))**2.
-2250860 - 8596*sqrt(17)
Simplify ((2*(2*sqrt(133)*1 - sqrt(133) - sqrt(133) - 5*(sqrt(133) + 1*sqrt(133))))/((sqrt(672) - (sqrt(672)*2 + sqrt(672)))/(sqrt(108)/sqrt(2))))**2.
4275/4
Simplify (-3 + sqrt(45)*1 - (5 + -2*(sqrt(5) + 1)) - ((sqrt(5) + 4*sqrt(15)/sqrt(3))*2 - -6*sqrt(55)/sqrt(176)))**2 + -5.
78*sqrt(5) + 969/4
Simplify 4*(sqrt(55) - sqrt(330)/sqrt(24))/(sqrt(11) - 2*-1*sqrt(11)) - (sqrt(385)/(sqrt(28)/sqrt(4)) + sqrt(55) + sqrt(55))/(2*2*sqrt(11))*2.
-5*sqrt(5)/6
Simplify (1*sqrt(198))/(1*(sqrt(2) + sqrt(18))) - (5*(sqrt(176) + 2) - 1*sqrt(176)*4)**2.
-276 - 317*sqrt(11)/4
Simplify (6*sqrt(385)/sqrt(7)*5)/(1*sqrt(320) + sqrt(5) + sqrt(15)/sqrt(3)*-4).
6*sqrt(11)
Simplify (-2 + ((sqrt(162)*-2 - sqrt(162)) + sqrt(162))**2 + sqrt(162) + 4 - (-2*(-4 + (sqrt(2) - 1*sqrt(2)*4 - sqrt(2))))**2)*-1.
-458 + 119*sqrt(2)
Simplify -4*((sqrt(500) + (sqrt(500) - (sqrt(500) + -2*sqrt(500))) + 5)*5 + (sqrt(500) + 1*sqrt(500) + 0)*-4)**2.
-100500 - 14000*sqrt(5)
Simplify ((sqrt(209)*-2*1 + sqrt(209))/(sqrt(1584)*-3))**2 - (-2 + ((sqrt(133)*-1 + sqrt(133))/sqrt(7))**2 + (sqrt(76) - sqrt(19))**2 + 4 + sqrt(19)).
-27197/1296 - sqrt(19)
Simplify (-1*((-6*(sqrt(77) + -2*sqrt(77) + sqrt(77)))/(sqrt(112) + (sqrt(112) - sqrt(112)*-1)) - (sqrt(11)*-1 + 5 + sqrt(1100)/sqrt(4))))**2.
40*sqrt(11) + 201
Simplify (3*sqrt(560) - 1*sqrt(3500))/(sqrt(35)/(-6*sqrt(28))).
-24*sqrt(7)
Simplify 4*((-2*sqrt(2736)*3 - (1*sqrt(2736) + -3 - sqrt(2736)))**2 + (-2 + sqrt(2736))**2*-6*-4) + -1.
-6336*sqrt(19) + 657059
Simplify (-2 + (5*sqrt(864)*-1)/(-6*-3*sqrt(128)))**2.
5*sqrt(3)/3 + 217/48
Simplify (4*((sqrt(297) + sqrt(297)*2)/sqrt(11) - (sqrt(27) - (sqrt(1728) + sqrt(1728)*1))))/(sqrt(27)/(sqrt(15)/sqrt(5)*-6)*-2).
216*sqrt(3)
Simplify (1*(-3 + (sqrt(75) + 0)*5) + -3*-1*sqrt(75)*-6*5)**2.
2550*sqrt(3) + 541884
Simplify -1*(-1 + ((sqrt(171)*1*-1)/sqrt(9))**2 + ((sqrt(76)/sqrt(4) + sqrt(19) - sqrt(19)) + -3 - 1*sqrt(19)*6)).
-15 + 5*sqrt(19)
Simplify (sqrt(95)*2*-5 - sqrt(95) - sqrt(95))/sqrt(5)*-5 - (2*sqrt(19)*-3 + sqrt(171)*-4).
78*sqrt(19)
Simplify (2*(sqrt(18) + sqrt(450))/sqrt(3))/(sqrt(3200)*4).
3*sqrt(3)/40
Simplify (-3 + 6*-3*((-5 + (sqrt(147)*1 - sqrt(147)) - (1*sqrt(147) + 5))*1 + -1))**2.
49140*sqrt(3) + 85653
| {
"pile_set_name": "DM Mathematics"
} |
s -14*-6*13/(-156)?
-7
What is -3*1*(23/2)/23?
-3/2
(1/(-2))/(294/1932)*-7
23
What is (4*50/(-120))/((-5)/(-2))?
-2/3
Evaluate (-1)/((-1)/(-1))*845/(-65).
13
What is the value of (-9)/(-612)*-17*(-4)/9?
1/9
Calculate 0/1*12/180*15.
0
What is the value of ((-1488)/496)/(6/8)?
-4
Evaluate 70/(-5)*(-27)/216*(-8)/6.
-7/3
Evaluate 36/(-81)*(-27)/(-10)*(-4)/12.
2/5
What is the value of (2862/742)/(5/35)?
27
Calculate ((-80)/(-15))/((-184)/(-207))*10/3.
20
(28/1750)/(9/(-45))
-2/25
Evaluate (-5)/((63/105)/((-27)/15)).
15
What is the value of -100*(-7)/140*-1?
-5
Evaluate (19602/(-11616))/((-3)/4).
9/4
What is 64/(-96)*(-1)/((-5)/(-45))?
6
What is (-606)/(-14544)*(-552)/(-1)?
23
((2139/(-62))/(-23))/6
1/4
What is the value of ((-45)/3*5*(-8)/200)/(-1)?
-3
What is the value of 592/17612*(-7)/2?
-2/17
Calculate (-4)/70*(-110)/66*3.
2/7
What is the value of ((-32)/12)/(-4)*4170/556?
5
Evaluate (-1)/1*(28/50)/((-64)/160).
7/5
Calculate (-27)/15*(-60)/126.
6/7
What is (3/1)/((-822)/(-9042))?
33
Calculate -2*-21*1*230/1380.
7
Calculate ((-6)/2)/(123/(-205)).
5
Calculate (1/(-4))/(16/384*3)*-1.
2
Evaluate (-14*2)/(1792/(-2048)).
32
Calculate 16/(-28)*28*(-1)/12.
4/3
((-7)/(-49))/((2/(-14))/(1/(-1)))
1
What is -54*(4*(-15)/30)/(-12)?
-9
Calculate 1*(-3)/(16/(448/231)).
-4/11
What is the value of (264/(-6534))/((-4)/162)?
18/11
What is 12/16*2*(-26)/(-65)*15?
9
0/2*(-449)/4490
0
What is the value of (27/1)/(2/(8/12))?
9
What is 14*((-13)/(-78))/(4/(-12))?
-7
(70/385)/(713/(-253))
-2/31
46/(19/(-38)*-4)
23
Calculate (60/(-10))/((-6)/(-8)).
-8
5*2/36*5532/(-6915)
-2/9
What is 27/((-2)/(-38)*(-2451)/(-129))?
27
Calculate (-24)/16*(-1)/(-10)*10.
-3/2
What is the value of 11658/603*(-3)/(-2)?
29
What is ((-80)/192)/(15/(-24))*6?
4
Evaluate (-160)/280*5/(780/42).
-2/13
Calculate 8/(-14)*(-2625)/(-2250)*(-189)/(-6).
-21
Calculate (5/1)/((3/((-63)/28))/(-4)).
15
Calculate 4*-63*(-1)/(-36).
-7
What is (36/(-387))/(((-60)/6)/(-5))?
-2/43
(65/273)/(5/(-3))
-1/7
Calculate ((-2133)/17775)/((-6)/(-10)).
-1/5
Calculate (98/105)/14*168*(-10)/4.
-28
What is the value of (-4)/(-6)*220/1320?
1/9
What is the value of ((-15)/(-40)*(-3)/9)/(473/516)?
-3/22
Evaluate ((-513)/760*5)/(3/(-4)).
9/2
Evaluate ((16/18)/((-144)/(-72)))/(11/(-66)).
-8/3
Evaluate -3*(72/(-84)*2)/((-9)/14).
-8
Evaluate ((-8)/(-6))/(127/(590931/(-188))).
-33
(-158)/(-1343)*(-17)/(-18)
1/9
What is (-2375)/(-475)*(-44)/10?
-22
What is (-6)/16*212/(-53)?
3/2
What is the value of (-51)/(39/(-104)*-8)*1?
-17
Calculate (-2)/(27/(-4347)*14).
23
What is ((-12)/14)/(3*(-7)/490)?
20
What is (24/40)/((-2295)/(-850))?
2/9
Evaluate (14/56)/((-13)/(-208)*-106).
-2/53
Calculate 24/1575*-5*15/(-12).
2/21
(4/(-18))/((-18)/(-126)*(-21)/(-18))
-4/3
Evaluate (4/140*2/1)/(306/357).
1/15
4/154*(-301)/172
-1/22
What is the value of 2/(8/28)*(-2)/14?
-1
Evaluate (1/(2/4))/((-50)/((-85)/17)).
1/5
Calculate (3705/(-38))/39*(-16)/20.
2
What is the value of (60/(-18))/(70/42*(-12)/10)?
5/3
What is the value of (2/(-3))/(37/(-4440)*-10)?
-8
What is the value of (6/3)/(9/((-360)/(-10)))?
8
(6/(-15)*-5)/((168/49)/24)
14
What is the value of ((-900)/750)/(6/(-100))?
20
What is 608/(-64)*(-2)/(-38)?
-1/2
Evaluate 6/(-5)*(-1000)/160*(-4)/3.
-10
Calculate ((-16)/(-192)*-39)/((-7)/((-84)/(-15))).
13/5
What is the value of ((-1)/((-1)/5*-10))/((-3)/(-6))?
-1
(-2898)/2415*70/6
-14
Evaluate (1/(12/(-81)))/(16/(-64)).
27
What is (1458/(-405))/((-4)/(-25))*12/(-15)?
18
((42/(-35))/((-24)/15))/((-9)/72)
-6
Calculate 6/((741/(-26))/(-19))*7.
28
(-2)/(3/(-3))*(765/(-60))/(-17)
3/2
What is the value of (5203/(-9460))/(2/8)?
-11/5
What is (18/(-15))/(15/25)?
-2
Calculate ((-13)/(130/(-24)))/(8/30).
9
Calculate 9/3*(-18)/(-12)*2.
9
What is ((391/85)/23)/(2/2)?
1/5
Evaluate (15/7)/(2752/(-19264)).
-15
Calculate ((-12)/(-60))/((-13)/(-2340)).
36
What is (((-50)/(-17))/25)/((-2)/(-17))?
1
What is the value of ((-5)/(-69))/((-1560)/2808)?
-3/23
What is the value of 150/(-225)*(-18)/(-4)?
-3
10/(((-10)/8)/(450/150))
-24
Calculate 13/(-1)*2728/3224.
-11
What is (-10)/20*-12*(-4)/(-18)?
4/3
Evaluate 69/(2208/(-256))*7/4.
-14
What is (10/2)/(-1)*(-30845)/(-4975)?
-31
(28*(-12)/(-1344))/((-2)/2)
-1/4
What is the value of (106/1855)/(40/(-100))?
-1/7
Calculate 20*(-1)/(-24)*(-48)/(-180)*-6.
-4/3
(-2)/6*2*10/((-270)/(-567))
-14
What is ((-16)/(-128))/(3/48)?
2
What is the value of (-1)/4*(-141)/(3525/(-2900))?
-29
Calculate (-15)/9*12*14/35.
-8
5*(-418)/880*-1*8
19
Calculate ((-267)/(-178))/(2/8).
6
Calculate 2808/(-234)*(-1)/1.
12
34/((-9724)/(-66))*91
21
Evaluate 6/(-4)*13560/(-452)*1/63.
5/7
What is the value of (4*(24/8)/(-30))/(4/60)?
-6
What is the value of 6/(8/160*15)?
8
Evaluate (-2)/16*(-76)/684*54.
3/4
(-58)/(76734/245)*2/5
-2/27
((-5)/(-3))/(6/225*(-550)/220)
-25
(20/(-15))/(((-992)/(-480))/31)
-20
What is (-10800)/(-300)*(-1)/2?
-18
Evaluate 2064/(-1290)*15/(-2).
12
What is 5/60*-6*12/(-15)?
2/5
(-3)/((-45)/(-50))*-6*(-3)/15
-4
What is ((-2)/(-4))/((-11441)/(-1346))?
1/17
(12/54*9)/(3/(-57))
-38
243/(-27)*(-4)/(-18)
-2
What is 807/538*(3/(-9))/((-1)/2)?
1
What is 18/28*2*(-56)/(-8)?
9
What is 24/(-2)*16/36*108/144?
-4
Calculate (36/165)/((-2152)/2690).
-3/11
What is the value of (-1)/((-6)/(-1)*(-194)/(-2328))?
-2
((-1)/3)/(35/(-140)*(-8)/30)
-5
What is (60/(-7125)*-25)/((-182)/(-133))?
2/13
What is the value of (3/(-45)*-66)/((-210)/(-525))?
11
What is 686/392*6/(-12)*-6?
21/4
What is the value of (0/((-9)/9*1))/3?
0
Evaluate -13*((-506)/23)/22.
13
Evaluate (50/(-20))/(((-30)/(-5))/24).
-10
-54*((-4)/(-30))/(54/(-90))
12
(-144)/(-396)*1/2
2/11
Evaluate 2/2*(84525/49)/(-69).
-25
(-3168)/176*4/3
-24
What is (-785)/(-1413)*(-7)/(735/(-9))?
1/21
Calculate (2/8)/((378/(-48))/7).
-2/9
(6/(-9))/(-1)*(-10)/((-650)/(-39))
-2/5
What is ((-3)/41)/(21*26/(-364))?
2/41
Calculate 36/(-2)*((224/8)/7)/(-6).
12
Calculate (-864)/192*(3/54)/(4/6).
-3/8
(3/(-39))/((-9)/(-30))*6/10
-2/13
What is 3/((-4)/528*36)?
-11
-1*2*(-244)/610
4/5
Evaluate (52/19)/((-614)/(-5833)).
26
What is the value of (((-3)/99)/(1255/(-8283)))/((-11)/2)?
-2/55
Calculate (4/2)/((-468)/(-4914)*(-42)/(-10)).
5
What is (-11)/(-14)*(-169)/((-24167)/156)?
6/7
Calculate ((2/9)/(-1))/((-48)/(-108))*20.
-10
What is the value of (-620)/(-31)*22/(-88)?
-5
Evaluate ((-12)/(-10))/(78*55/85800).
24
Evaluate 1/((-62)/310*((-25)/(-13))/5).
-13
What is the value of (-1344)/(-3248)*(4/(-24))/(-1)?
2/29
Evaluate ((-1136)/(-93436))/((-4)/14).
-2/47
Calculate (103/(-618))/((-4)/30).
5/4
Evaluate ((-15)/170)/((9/4)/3).
-2/17
Evaluate 4/(-3)*135/(-525)*10/(-12).
-2/7
Evaluate (24/100)/3*(-1845)/(-492).
3/10
What is the value of (-10)/(-620)*52/(-13)?
-2/31
1*(-10)/30*2*-2*-6
-8
What is the value of (-16)/(-70)*1370/1096?
2/7
What is ((-135)/360)/(((-9)/8)/((-9)/18))?
-1/6
Evaluate ((-3)/(-16))/(((-8)/(-52))/((-124)/403)).
-3/8
What is the value of (15/75)/((-6)/(-150)*1)?
5
Calculate (14/(-28))/((-270)/(-60)).
-1/9
Evaluate 17/68*(-40)/6*(-549)/(-61).
-15
Calculate 5/25*(-135)/54.
-1/2
What is the value of (32/44)/(12/(36/(-6)))?
-4/11
Calculate (12/(-10))/(((-1773)/1379)/(20/7)).
8/3
What is ((-54)/(-8))/(44*(-48)/512)?
-18/11
(-1638)/(1677/(-43))*(-2)/(-28)
3
Evaluate (((-15)/30)/(9/6))/((-606)/(-36)).
-2/101
(-10)/(-15)*15/((-630)/231)
-11/3
Calculate (2/6)/1*(-418)/418*39.
-13
Calculate ((-115)/(709665/(-102)))/(1/11).
2/11
Evaluate (-28*9/18)/((-48)/24).
7
Evaluate ((-3)/(-7))/((-26676)/(-2184)).
2/57
Calculate (1855/11872)/((-10)/12).
-3/16
Calculate (4/6*-2)/(51/(-459)).
12
Evaluate (3/((-450)/(-204)))/((-62)/(-155))*-5.
-17
What is 6/(-2)*(-14)/(140/(-90))?
-27
Calculate ((-69)/6831)/((-8)/72).
1/11
What is (1/1)/(1*4/(-4))?
-1
(46/(-8))/((-28)/112)
23
What is the value of (2/(-2))/((-33)/(9207/(-62)))?
-9/2
Evaluate 770/(-350)*25/(-5).
11
(-3*3*(-35)/(-126)*6)/1
-15
Evaluate (-1)/2*1/(-4)*2464/2002.
2/13
What is (-3)/(-1)*188/5640?
1/10
What is the value of (15/10)/((-1995)/76)?
-2/35
Calculate (-2*(-4)/(-4))/(3/135*6).
-15
Evaluate ((-16)/6)/8*(-12)/54*-9.
-2/3
Calculate (-180)/(-40)*(-1)/(3/(-6)).
9
What is the value of (-1)/(-1)*((-30)/(-6))/(-15)?
-1/3
Calculate ((4/42)/(316/(-474)))/(3/(-21)).
1
1/(((-10)/(-48))/((-60)/(-24)))
12
Calculate (-39)/13*2/4*(-20)/6.
5
Calculate 20/(-204)*2/2*6/(-5).
2/17
3/ | {
"pile_set_name": "DM Mathematics"
} |
, 5*h + 5*t = 40. Determine q(h).
-14
Suppose s = 5*s - 16. Let b(y) = y**2 - 4*y + 3. What is b(s)?
3
Let p(y) be the second derivative of -y**4/12 + y**3/6 - y**2 - 11*y. Give p(3).
-8
Let n(w) = 9*w - w**3 - 5*w**2 - w + 9 - 2. Calculate n(-6).
-5
Let z = -5 - -10. Let j(a) = -a**2 + 13*a**2 - z*a**2. Calculate j(-1).
7
Suppose 4*v + 1 = -2*s + 3, 19 = 3*v - 2*s. Let p(c) = -c**2 + 6*c. What is p(v)?
9
Let h(q) = -q**3 - 7*q**2 - 3*q + 2. Suppose y + 5 = -1. What is h(y)?
-16
Let h(a) = 10*a**2 - 6*a + 5. Let r(y) = -11*y**2 + 7*y - 6. Let k(s) = -5*h(s) - 4*r(s). Calculate k(1).
-5
Let l be 2/5 + 138/30. Let d(i) = -i + 2. Give d(l).
-3
Let r be 28/5 - 2/(-5). Let z(o) = o + r - 3*o + 3*o. Give z(-5).
1
Let p(t) = t**3 + 2*t**2 - 3*t + 3. Suppose 32 = -4*d - 4*m, 3*d - 2*m = 2*d + 4. Calculate p(d).
-17
Let q(d) be the third derivative of d**4/12 - d**3/2 - 3*d**2. Suppose 2*n - 3 = -23. Let s be ((-6)/(-10))/((-2)/n). Calculate q(s).
3
Let o(r) be the second derivative of r**3/6 + 3*r**2/2 + 9*r. Calculate o(6).
9
Suppose -4*f = -0*f. Let j(i) = -i**3 - i**2 + i + 1. Let s(t) = -2*t**3 - 2*t**2 + 3*t - 7. Let d(m) = 3*j(m) - s(m). Determine d(f).
10
Let b(y) = -2*y + 5. Let n(a) = 2*a - 4. Let l(o) = 2*b(o) + 3*n(o). Let u(k) = k**3 + 3*k**2 + 2. Let j be u(-3). Determine l(j).
2
Suppose 4*h + 5*b + 2 = 20, 0 = -h - 5*b - 3. Let y be 2/h + (-66)/(-14). Let r(i) = -i**2 + 3 - y*i + i**3 - i - i**2 + 3*i. Determine r(3).
3
Let p be ((-2)/5)/(-1 + (-18)/(-15)). Let t(c) = -5*c**3 + 3*c**2 - 2*c + 4. Let b(m) = -m**3 + m**2 - m + 1. Let g(h) = 4*b(h) - t(h). What is g(p)?
0
Let o = -3 + 6. Suppose o*i + 0*i = 12. Let a(u) = u**2 + 5 + u - 3 - i*u**2 + 2*u**2. What is a(-2)?
-4
Let r = 8 - 5. Let f(j) be the second derivative of j**2 - 2*j + 1/6*j**4 + 0 - 2/3*j**3. Calculate f(r).
8
Suppose 4*j = -5 - 3. Let p(q) = -6*q**3 + 3*q**2 - 7*q - 7. Let k(c) = -5*c**3 + 2*c**2 - 6*c - 6. Let b(n) = 5*k(n) - 4*p(n). Calculate b(j).
2
Let g(j) be the third derivative of -2/3*j**3 + 0 - 3*j**2 - 1/120*j**6 - 1/20*j**5 - 1/8*j**4 + 0*j. Calculate g(-3).
5
Let i = -8 - -13. Let x(n) = n - i + 10 - 2*n. Give x(0).
5
Let p(t) = t**2 + t - 8. Suppose 0 = -3*u + 3, 2*m + 4*u - 2 = 2*u. Determine p(m).
-8
Suppose 0 = 4*c + 6 - 14. Suppose 0*v + 3*m = -3*v + 9, 3*v = c*m - 11. Let o = v - -2. Let b(h) = -h**2 - 2*h + 1. Calculate b(o).
-2
Let q(b) = 21*b - 41. Let g(f) = -4*f + 8. Let k(o) = 11*g(o) + 2*q(o). What is k(5)?
-4
Suppose -2*r + 18 = 4*k, 2*r - 4*r + 11 = 3*k. Suppose -k*o = -6*o. Let t(n) = -n**2 + 7. Calculate t(o).
7
Let l be 102/18 - 2/3. Let a(r) = 4*r - 2*r - 2*r + r - l. What is a(4)?
-1
Let s(c) = 4 + 2 - 2*c + c - 3. Let i be s(-9). Let o(u) = -2 + 17*u + i - 18*u. Calculate o(5).
5
Suppose -4*s = -5*q - 26, -3*q + 6 = 2*s - 2*q. Let l(m) = m - 3. Calculate l(s).
1
Let a(m) = 4*m + 3. Suppose -3 + 1 = f. Give a(f).
-5
Let u(k) = -6 + k - 2 + 3 + 4. What is u(-7)?
-8
Let h(v) = 2*v**3 + 2*v**2 - 1. Let c be h(1). Let y(g) = -2*g + 5 - 4*g**2 + c*g**2 - g + 2. Give y(-5).
-3
Let l(b) = b**2 - 3*b - 5. Let z(f) = -f**2 - f + 5. Let w be z(0). Determine l(w).
5
Let d(a) = 10*a**3 - 19*a**2 - 16*a + 10. Let l(f) = -3*f**3 + 6*f**2 + 5*f - 3. Let z(k) = -2*d(k) - 7*l(k). Give z(5).
11
Let c(g) = g + 3 + 1 - 2. Let u = -18 + 14. What is c(u)?
-2
Let j(u) = 4*u - 7. Let a(v) = 13*v - 21. Let y(d) = -8*d**3 - d**2 + d + 1. Let f be y(-1). Let m(k) = f*j(k) - 2*a(k). What is m(5)?
3
Suppose 8 = -4*r - 20. Let l(s) = s**3 + 8*s**2 + 7*s - 3. Let w be l(r). Let o(n) = -2*n + 13. Let c(z) = -z + 1. Let p(d) = w*c(d) + o(d). What is p(-5)?
5
Let x(q) be the first derivative of q**2 - 5*q + 2. Let p be x(5). Let v(r) = r**2 - 7*r - 1. What is v(p)?
-11
Let j(g) = 3*g**3 + 5*g**2 - g - 4. Let t(w) = -7*w**3 - 11*w**2 + 3*w + 9. Let r(p) = -5*j(p) - 2*t(p). What is r(-2)?
0
Let d(v) = -v**3 + 3*v**2 + 6*v - 4. Let y be 2/(1 - (-5)/(-10)). Calculate d(y).
4
Suppose -2 = i + 2. Let z(p) = p**2 + 4*p. Determine z(i).
0
Suppose -5*k = -k. Let n(c) = c - 1. Calculate n(k).
-1
Let x be (-32)/(-18) + (-4)/(-18). Suppose -x*o + 3*o - 5 = 0. Let u(r) = 3*r - 6. Let w(n) = -n + 1. Let z(b) = u(b) + 2*w(b). Determine z(o).
1
Suppose -2*d + 7*d = 30. Let w(x) = x**3 - 6*x**2 + x + 7. What is w(d)?
13
Suppose -5*z + 16*z - 11 = 0. Let i(k) = -6*k**3 + 2*k**2 - 2*k + 1. Calculate i(z).
-5
Let z(j) = j**3 - 9*j**2 - 3*j + 12. Let b = 25 + -16. Calculate z(b).
-15
Let z(q) = -4*q + 5*q - 1 + 3*q**2 + q**2 + q. Suppose -s - 3 = -3*r + 2, -6 = -2*s - 2*r. Determine z(s).
5
Suppose -5 = 4*h + r, 4*r = 4*h + h + 1. Let f be 4 - ((3 - 0) + h). Let u(b) = -b**3 + 2*b**2 - 2*b. Determine u(f).
-4
Suppose 3*h = 5*h - 6. Let v(n) be the second derivative of -n**3/3 - 3*n**2/2 + 2*n - 6. Determine v(h).
-9
Let v(r) = -r. Let h(u) = -8*u - 2. Let q(k) = -h(k) + 3*v(k). Determine q(-2).
-8
Let g(d) = d**2 + 3*d - 6. Let y be 5/((-65)/63) + 2/(-13). Calculate g(y).
4
Let z(y) = y + 7. Let q be z(-5). Let o(s) = s**3 - 1. Determine o(q).
7
Let t(z) = -z**2 + 4. Let h(j) be the second derivative of -j**3/6 + 4*j**2 + j. Let v be ((-33)/9)/(4/(-12)). Let f be h(v). Determine t(f).
-5
Suppose 0*i - 30 = -6*i. Let x(v) = -v**3 + 7*v**2 - 7*v. What is x(i)?
15
Suppose 1 = b + 3*s, -5*b = -0*b - 2*s - 5. Let j(c) be the first derivative of -11*c**3/3 - 1. Give j(b).
-11
Let l = 10 - 15. Let c be -4 + -4 + (-2 - l). Let t(x) = x. Determine t(c).
-5
Let q(r) = r**3 + 4*r**2 + 2*r + 2. Suppose -5*m = 2*k - m - 4, 4*m = -3*k. What is q(k)?
-6
Let r(n) = -n + 1 + 2*n**2 + 4*n**2 + 2*n**2 + 0*n. Calculate r(1).
8
Let w(l) = -4*l**2 + 5*l - 2. Let b(u) = -13*u**2 + 16*u - 6. Let q(k) = 2*b(k) - 7*w(k). What is q(4)?
22
Let i be (16/10)/((-18)/(-45)). Let d(h) = -3*h**3 + h**2 + 5*h + 2. Let j(m) = 13*m**3 - 3*m**2 - 20*m - 9. Let a(f) = 9*d(f) + 2*j(f). Give a(i).
4
Let q(m) be the first derivative of -5*m**3/6 - 3*m - 2. Let g(b) be the first derivative of q(b). Give g(-2).
10
Suppose -2*x = 2*x. Suppose x*a - 2*a - 4*h = 8, 5*a + 3*h = 1. Let b(u) = u**2 + 0*u**a - 2*u - 3 - 1. Determine b(4).
4
Let s(q) be the third derivative of -q**2 + 1/6*q**4 + 0*q - 1/3*q**3 - 1/15*q**5 + 1/120*q**6 + 0. Determine s(2).
-2
Let z = 0 - -4. Let n(r) = -10*r**3 + 15*r**2 - 11*r - 1. Let y(d) = -3*d**3 + 5*d**2 - 4*d. Let s(g) = -2*n(g) + 7*y(g). Give s(z).
-6
Let u be (-1 + (2 - 1))/2. Let b(x) = -x - 6 + 4*x**2 + u*x + x**3 - x. Give b(-4).
2
Let x(g) = -5*g - 2*g**3 + 4 - 6*g**3 + g + 7*g**3 + 7*g**2. Give x(6).
16
Let t(b) = -6*b**2 + 4*b - 2. Let j(l) = 3*l**2 - 2*l + 1. Let g(u) = -5*j(u) - 3*t(u). Let s be ((-2)/(-4))/(1/(-4)). Let k = -1 - s. Give g(k).
2
Let z(m) = m**2 + 5*m + 4. Let a(j) = -3*j - 4 + 2 + 2*j. Let n be a(3). Give z(n).
4
Suppose -z = -2*k + 11, 0 = 3*k + 3*z - 0*z + 6. Let a(g) be the third derivative of 0 - 1/2*g**3 + 0*g - 1/24*g**4 - g**2 + 1/60*g**5. What is a(k)?
3
Let b(s) = -s**3 + 4*s**2 + 2*s + 1. Let n(v) = -v**3 + 2*v**2 + 5*v - 2. Suppose 5*m + 2*o + 7 = 6*m, o = m - 5. Let w be n(m). Determine b(w).
9
Let h be -2 - 1/(2/(-12)). Let r = h - 1. Suppose 4 = -r*l + 7. Let v(k) = 4*k**3 - 2*k**2 + 2*k - 1. Calculate v(l).
3
Suppose -4*l + 2 = -4*p - 10, -l = -2*p - 4. Let w(k) be the second derivative of -2*k - 1/6*k**3 + 3*k**l + 0. Determine w(4).
2
Let c(x) = -x**3 + 3*x**2 + 3. Let u be c(3). Let b(d) = d**2 + 4*d + 2. Let i(t) = t**2 + 8*t + 3. Let m(s) = 5*b(s) - 3*i(s). Give m(u).
7
Let c(x) = -x**3 - 5*x**2 + 2*x + 5. Suppose 3*d = -2 + 53. Suppose 3*j + j = -4*g - 24, 3*j = 4*g + d. Calculate c(g).
-5
Let u(y) = -y**3 - 5*y**2 + 6*y - 6. Let m be u(-6). Let v(h) = -3*h + 3. Calculate v(m).
21
Let l(t) = -t**2 + 6*t - 4. Suppose 41*j - 46*j + 20 = 0. What is l(j)?
4
Let l(t) = 2*t**2 - 7*t + 3. Suppose -50 = 15*h - 25*h. What is l(h)?
18
Let j(q) be the second derivative of -7*q**5/20 + q**4/6 - q**3/6 + 19*q. Suppose 5 - 13 = -2*y. Let x = 5 - y. Give j(x).
-6
Let z(l) = 3*l + 3. Suppose 5*w + 0*w = -35. Calculate z(w).
-18
Let p be 8/2 - (9 - 2). Let r(k) = -k - 3. Calculate r(p).
0
Let c(f) be the first derivative of f + 5 - 1/2*f**2. Calculate c(2).
-1
Suppose 0 = -s - 0 + 2. Let l(x) = 5*x - x**2 - 3 + s*x**2 + 3. What is l(-4)?
-4
Let k(s) = 5*s**3 - 5*s**3 | {
"pile_set_name": "DM Mathematics"
} |
f 63210194?
2, 31605097
List the prime factors of 380333945.
5, 17, 4474517
What are the prime factors of 7484516071?
773, 9682427
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7, 59, 26681
List the prime factors of 22339653.
3, 7, 71, 14983
List the prime factors of 16386446.
2, 1993, 4111
List the prime factors of 556788191.
556788191
What are the prime factors of 1727937331?
2143, 806317
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2, 1483, 5039
List the prime factors of 239680760.
2, 5, 11, 83, 6563
List the prime factors of 5627173849.
11, 1831, 2309
List the prime factors of 30015425.
5, 11, 109147
What are the prime factors of 3027535862?
2, 13, 23, 73, 223, 311
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3, 9011, 11437
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7, 8606197
List the prime factors of 30505494.
2, 3, 5084249
List the prime factors of 24167088.
2, 3, 11, 19, 73
List the prime factors of 314887251.
3, 7, 89, 331, 509
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3, 11, 683, 330241
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3, 5233, 14321
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181, 1759, 6397
What are the prime factors of 319919938?
2, 13, 29, 31, 13687
What are the prime factors of 3923770547?
509, 7708783
List the prime factors of 27216064.
2, 425251
What are the prime factors of 4194804?
2, 3, 349567
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2, 7, 13, 224891
List the prime factors of 263851345.
5, 52770269
What are the prime factors of 908789302?
2, 15923, 28537
What are the prime factors of 1750732648?
2, 7, 31263083
List the prime factors of 2266216874.
2, 43, 26351359
What are the prime factors of 8829255394?
2, 9199, 479903
What are the prime factors of 32159644?
2, 11, 730901
What are the prime factors of 209887465?
5, 2129, 19717
What are the prime factors of 108588311?
13, 8352947
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2, 11, 31, 3467831
List the prime factors of 896211936.
2, 3, 3111847
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3, 1471, 10663
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2, 5, 83, 8111
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7, 13, 3313
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2, 401848021
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2, 39273989
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2, 29, 77443679
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257, 21698321
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2, 5, 11
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2, 3, 5, 13, 3793
List the prime factors of 106497627.
3, 43, 787, 1049
What are the prime factors of 11554804?
2, 37, 101, 773
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2, 233, 701, 11897
List the prime factors of 95329101.
3, 7, 4539481
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2, 3, 31, 179, 24481
List the prime factors of 892911141.
3, 33070783
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1538989
What are the prime factors of 22189484?
2, 5547371
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17, 29, 5993359
List the prime factors of 223143463.
1129, 197647
List the prime factors of 756066904.
2, 94508363
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31, 2846717
List the prime factors of 368659481.
368659481
List the prime factors of 176234962.
2, 88117481
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2, 31, 41, 31391
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2, 17, 3406219
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5, 53, 331, 8447
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107, 952687
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872674279
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2, 3, 83743511
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3, 53, 3769673
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7, 1499, 9677
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2, 5, 139861
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2, 17, 71, 4057
List the prime factors of 146838061.
17, 19, 163, 2789
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3, 7, 832763
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2, 58239403
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2, 7, 79, 149
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2, 7, 13, 106501
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3, 4302371
List the prime factors of 34041031.
467, 72893
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3, 6952867
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2332815911
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37, 167, 41777
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2, 3, 1571, 6793
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2, 3, 131, 233, 311
List the prime factors of 2965188231.
3, 2281, 144439
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2, 3, 1109, 23537
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37, 2933393
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5, 31184519
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2, 3, 5, 107, 80149
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2, 11, 49621391
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3, 599, 2050109
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7, 157, 283, 3533
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2, 7, 73, 7703
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3, 865647077
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3, 7, 71, 73, 1097
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2, 3, 73, 48563
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3, 257, 1768771
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2, 5, 19, 239, 467
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2, 3, 7, 353, 16057
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2, 29, 41, 82189
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3780593629
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11, 61, 172969
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79, 109, 269041
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2, 7, 73, 103, 167
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233, 311, 1543
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3, 323632849
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2, 5, 41, 23173
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2, 23, 2020171
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2, 8677
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3, 5, 276435619
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2, 3, 102741673
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13, 971, 2003
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157, 1107401
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2, 5, 7, 359, 2237
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2, 5, 17, 11841779
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53, 2125733
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3, 11, 31, 211, 12829
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11, 19, 1481, 9029
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2, 3, 5, 311, 709
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3, 11, 2606881
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7, 41, 73, 79349
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2, 7, 2857, 22807
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2, 3, 123422471
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5, 53, 652507
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2, 3, 13, 43, 1297
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2, 223, 5153
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181, 959369
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2, 3, 1871, 3581
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2, 5, 59, 787
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7, 13, 3259
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5, 11, 881, 6311
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2, 379, 2408933
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37, 4067149
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2, 3, 349379
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2, 3, 2171773
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3, 457, 20101
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3, 43, 42398333
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2, 23, 346763
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3, 50649983
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2, 3, 5, 368521
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1741, 1596389
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2, 83, 1259033
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13, 167, 211, 1889
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2, 5, 19, 197, 859
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3, 5, 8214697
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2, 7, 15392309
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2, 3, 13, 42567883
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5, 103837273
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7, 23, 647, 3371
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2, 7, 2357059
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2, 3, 61, 1115843
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151, 337, 75781
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7, 457, 1877
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2, 11, 277, 101477
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859, 18061
List the pri | {
"pile_set_name": "DM Mathematics"
} |
Let t be 6 - 2*i/(-2) - 5. Solve -2*b + 13 - 5 = t for b.
4
Let l(u) = 3*u**3 + 36*u**2 + 8*u + 19. Let r be l(-11). Solve -4*m - 298 + r = 0 for m.
-1
Suppose 0 = -4*c + 280 + 644. Let a = -223 + c. Solve a*w - 12 = 4*w for w.
3
Suppose -719 = -207*h + 2179. Solve h*n = 132 - 62 for n.
5
Let y be (13*(3 - (2 + 0)))/1. Let b(h) = h**3 - 12*h**2 - 12*h - 16. Let j be b(y). Let n be ((-4)/(-5))/(j/15)*-1. Solve -n*f + 0 - 16 = 0 for f.
-4
Let o be 10/4*(9 - 5). Let n be (2 + o)*(-6)/18. Let v be (-5 - -3)/(2/n). Solve -c + v = 7 for c.
-3
Suppose -10 = -0*f + 5*f. Let t = f + -2. Let x(z) = -z**2 - 4*z + 2. Let p be x(t). Solve -p*l - 2*l = 20 for l.
-5
Suppose 0 = -3*n - 4*h + 27, -4*h - 6 - 6 = 0. Suppose 0 = 11*r - n*r + 8. Suppose 5*w = -3*a + 47, 3*w = 6*w - r*a - 34. Solve 3*t - w = t for t.
5
Let o(q) = q**3 + 27*q**2 + q + 19. Let p be o(-27). Let h be 3/p - 70/(-32)*2. Suppose -5*j = h*j - 45. Solve 4*f = -f + j for f.
1
Suppose 0 = 4*z - 9*z - 25, -4*x + z = -5. Suppose 10*n = 14*n - 12. Solve x = -5*c + n*c for c.
0
Let r be (189/12 - 3)*(-84)/(-63). Solve 2*y = -r*y for y.
0
Suppose 3*u + w = 61, -7*w = 2*u - 11*w - 64. Solve 0 = 2*n - u + 10 for n.
6
Let k = 86 - 39. Suppose 6*q - 125 = -k. Let r = -12 + q. Solve 3*m + r = 16 for m.
5
Let u(r) = -r + 7. Let i(t) = t**2. Let b be i(-2). Let f be u(b). Let a = -1309 - -1320. Solve -a - 4 = -f*q for q.
5
Let p be 0*((-40)/12 + 3). Suppose -w - 11*u + 12 = -7*u, p = w - 3*u + 9. Let z = -58 + 61. Solve w = z*h - 4*h for h.
0
Let f = -510 - -533. Suppose 26*h = -f*h + 294. Solve g = h*g for g.
0
Let k = -873 - -886. Solve -59*v - k = -46*v for v.
-1
Let p(b) = 83*b. Let l be p(2). Let d = l - 160. Solve -3*v = -d*v for v.
0
Let i be (1/(-3))/((-1130)/(-282) - 4). Let a = i + 51. Solve 0 = a*d + 17 + 3 for d.
-5
Suppose -o + 11 = 4*z - 0*z, 2*z + 4*o + 12 = 0. Suppose -3 = -z*n - 3*s, n = -5*s + 7 - 19. Solve -w = -0*w - n for w.
3
Let q be (-5*1)/(124/64 - 2). Suppose 17*i - i = q. Solve o - 20 = i*o for o.
-5
Let p(r) be the first derivative of 1/3*r**3 + r**2 + 28 - 15*r. Let y be p(-5). Solve 10 + y = 5*i for i.
2
Let z = 16 + -14. Suppose 1 = t + j, -3*t - z*j = -2 - 1. Suppose 132 = -6*b + 156. Solve -3 - t = -b*p for p.
1
Let x = 10 + -1. Suppose -4*q - x = -17. Suppose -2*u - 2 = -q*t, 3*u - 2*u - 2*t = -4. Solve -u*z + 1 = -1 for z.
1
Let y(i) = -5*i**3 - 12*i**2 - 6*i - 4. Let g be y(-2). Solve g = 32*r - 14*r + 36 for r.
-2
Let x = 4 - 1. Let f(v) = -24*v + 312. Let c be f(13). Suppose -54*m + 63*m - 18 = c. Solve -5*t = m + x for t.
-1
Let h = -80 + 84. Let c be (h/6*-4*6)/(-2). Solve -3 = -5*o - c for o.
-1
Let p(j) = -j**3 + 10*j**2 + 21*j + 48. Let l be p(12). Solve -14 + l = 2*i for i.
-1
Let y(k) = 2*k**3 + 30*k**2 + 111*k - 6. Let w be y(-8). Let b(c) = c**3 + 5*c**2 - 9*c - 8. Let o be b(-6). Solve -o + w = -2*z for z.
4
Suppose 37*h - 7675 + 2561 = 2360. Solve 214 = 12*o + h for o.
1
Let w = 34 + -28. Suppose -j = 4*r - 27, -4 = w*r - 4*r + 4*j. Suppose r*g - 18 + 2 = 0. Solve 2 = -2*b - g for b.
-2
Suppose 5*p - 4*m = 160, -4*p - p = 3*m - 195. Suppose -2*b + 3*x = b - p, 0 = -5*x. Solve b = 5*l - 3 for l.
3
Let h = -29478 - -29478. Solve 4*f + 200 - 208 = h for f.
2
Let h(s) = s**3 - 5*s**2 + 6*s - 6. Let i be h(4). Let z(v) = -8*v + 26. Let y be z(-22). Let p = 207 - y. Solve 7 = p*a + i for a.
1
Suppose -16*q + 240 + 32 = 0. Solve 7*t - q + 17 = 0 for t.
0
Let x be -24 + 49 + 6 + -22. Solve -x*i = -78*i + 345 for i.
5
Let i(h) = 340*h - 2931. Let c be i(9). Solve -19*r = 72 - c for r.
3
Let v(l) = 16*l**2 - 33*l + 7. Let d(h) = -h**3 + h**2 + h - 1. Let z(a) = -d(a) + v(a). Let c be z(-17). Solve 12*u = c*u + 16 for u.
4
Let p(f) = -2*f - 85. Let m be p(-49). Suppose 0 = m*g - 0*g - 91. Solve -5*s = -g*s + 4 for s.
2
Let p(i) = 2*i**3 - i**2 + 12*i + 2. Let m be p(0). Let h(d) = -d**2 + 8*d - 6. Let f be h(6). Solve -4*z - m = f for z.
-2
Suppose 0 = -164*g + 166*g - 6, -3*g = 4*w - 25. Suppose w*c = 2*l - 22, 3*c = 5*l - 30 + 3. Let f be 0/2 - (0 - 8). Solve f + 1 = -l*t for t.
-3
Let m(d) = 2*d**2 + 287*d + 285. Let l be m(-1). Solve -66*v + 30*v - 108 = l for v.
-3
Let y(c) = c**2 - 15*c + 27. Let l be y(13). Suppose 252 = h - 5*h. Let r = 63 + h. Solve r = -d + l for d.
1
Suppose -3*z + 0*z + 6 = 0, 2*c - 678 = z. Let i = 361 - c. Solve 3 = -6*n - i for n.
-4
Suppose 23 = 4*g - 4*r - 5, -g + 5*r - 5 = 0. Let l = 10582 - 10580. Let q = -2 - -5. Solve l*n = -q*n - g for n.
-2
Let r(z) = 172*z**2 - 809*z - 18. Let q be r(5). Solve -8*j = 213 - q for j.
3
Suppose 4*i = r - i + 5, -20 = -2*r - 5*i. Let w(v) = -3*v - 10 + 0*v + 0*v + v. Let m be w(-9). Solve 7*p + m = r*p for p.
-4
Let j be 147/5 - (-3 + 34/10). Let l = j + -17. Let s be 63/l + 1/(-4)*1. Solve -s*r + 2 + 18 = 0 for r.
4
Let g = -22 - -26. Suppose 0 = g*r - 5*r. Suppose 6 = 5*l - 3*l. Solve -l*o = -r*o + 3 for o.
-1
Let d be 8 + ((-161)/(-92) - 156/16). Solve d = -1259*k + 1266*k for k.
0
Let n be ((-3)/(-12)*9)/(17/(-2312)*-17). Solve -n*v = -20*v + 10 for v.
5
Let s be 9*8/(-12)*(-5)/15. Suppose 0 = s*q - 13 + 5. Solve -q*f + 8 = -2*f for f.
4
Let h be 628/10*(-10 + 0). Let i be h/(-28) - 6/14. Let a be i/121 + (-4)/22. Solve -3*q - 5 - 1 = a for q.
-2
Let o be 22/4*(-6)/(-3). Let n = -14501 + 14537. Solve -o*z = -2*z - n for z.
4
Let z(m) = 5*m**2 + 3. Let w be z(-2). Suppose w*a - 21*a = 0. Suppose 2*t + 4*u - u = 15, -4*t - 4*u + 24 = a. Solve 6 = t*x - 9 for x.
5
Let l(k) = 2*k**3 - 12*k**2 - 21*k + 100. Let n be l(7). Solve -n*m + 24 = -63*m for m.
-2
Let x(l) = -5*l + 67. Suppose -f = 2*f - 4*q - 59, 0 = -5*f + 3*q + 80. Let y be x(f). Solve 5*k - 8 = y for k.
2
Suppose -2210 = 20*z - 3*z. Let y = -130 - z. Solve -22*h + 20*h + 10 = y for h.
5
Let m(d) = -6*d - 78. Let c be m(-15). Let q(h) = -2*h**2 + 23*h + 15. Let j be q(c). Solve -j*f = 2*f for f.
0
Let f = 3718 - 3487. Solve 225*c - f*c + 12 = 0 for c.
2
Let n be (6 - 10)/(1/(-2)). Let m = 9 - n. Suppose 3 = -2*g - t, g - 4*t - t = 15. Solve -m = q - g for q.
-1
Let l be (-3)/(238/28 - 9). Solve l*o - 5*o = 10*o for o.
0
Let u be (30/12*1)/((-1)/22). Let b be ((-36)/(-20) + -3)*u. Suppose -b*l + 5 = -65*l. Solve l*x = 7 - 2 for x.
1
Suppose 0 = -5*h + o + 44, -4*o = 93*h - 97*h + 48. Solve 9 = -f - h*f for f.
-1
Suppose 3*j + 18 = 4*p, -3*j = j + 8. Suppose 12 = p*t - 12. Suppose -t = -28*u + 24*u. Solve u*o = -3*o - 20 for o.
-4
Let v(s) = 133*s**2 - 78*s**2 + 37*s - s**3 + 54 - 90*s**2. Let q be v(-36). Solve -2*k + q = 14 for k.
2
Let p be (7 + 465/(-60))*(-24)/9. Solve 0 = -p*u - 11 + 3 for u.
-4
Let d(u) = u**3 - 10*u**2 - 6*u + 21. Let r be d(10). Let j = 41 + r. Solve j*o + o = 0 for o.
0
Suppose -5*v - 26 = 2*y - 7*v, 47 = -3*y + 5*v. Let t = 17 + y. Solve 0 = -10*i + 8*i + t for i.
4
Suppose 30*b + 84 = 16*b. Let g(a) = 6*a**2 + 0*a + 2*a - 8 - 3*a + 3 + a**3. Let p be g(b). Solve r + 3 = -p for r.
-4
Suppose 19*r = 16*r + 3. Let o be (0 + r)*-3 - (-30)/5. Solve -o*s + 6*s = 0 for s.
0
Let v(l) = l**3 - 2*l**2 - 16*l + 9. Let j be v(5). Suppose -h + 11 = 1. Solve -j = -3*a - h for a.
-2
Suppose 4*c - 2*o = 1260, 3*c + 43*o = 45*o + 945. Solve 74*n = -31*n + c for n.
3
Suppose 0 = 4*u - 11*u - 1043. Let j = -148 - u. Solve 4*i + j = -3 for i.
-1
Suppose 23*u - 18*u - r = 39, r - 1 = 0. Suppose u*c = 6*c + 6*c. Solve 15*y - 16*y + 1 = c for y.
1
Suppose -1615 = -5*f - 5*x, -x = 2*f - 4*x - 636. Let i = 337 - f. Let y(t) = t**3 - 9*t**2 - 9*t - 6. Let a be y(10). Solve 0*v - a*v - i = 0 for v.
-4
Let a be ((-3)/5)/((-9)/270). Suppose -2*o = 5*y - 195, -5*y + 2*o + 197 = -a. Let n = y - 38. Solve n = -i + 2 for i.
-1
Let g(b) = -b - 26. Let v be g(-30). Suppose -18 = -v*x - 10. Solve -x*o - 5 = 5 for o.
-5
Let c = -8202 - -8300. Solve -36 = 116*z - c*z for z.
-2
Suppose 2*i - 11 = 2*p - 17, -4*p - 4*i = -36. Solve 9*a = 15*a - p for a.
1
Let m = -126 - -129. Suppose -m*j + 5*s + 10 = 4*s, -2*s + 20 = 2*j. Solve 1 = j*u - 4 for u.
1
Let l(g) = 31*g. Let w be l(6). Let u = 195 - w. Solve -u*n = -11*n for n.
0
Let d = -75 + 40. Let k = d + 55. Suppose -364*w = -727*w. Solve -4*z + k = -w*z for z.
5
Let m = 12 - 16. Let k(g) be the second derivative of -g**5/20 - g**4/3 + g - 8. Let a be k(m). Solve a = y + y for y.
0
Let o = -18 - | {
"pile_set_name": "DM Mathematics"
} |
= 3*q(j) - 8*z(j). Factor t(y).
y*(y - 1)
Let y(n) = -3*n**3 - 2*n**2 + 1. Let p be y(-1). Solve 2*g + 8*g**2 - g**p - 4*g**4 - 3*g**2 - 2*g**5 = 0.
-1, 0, 1
Suppose -131 = -70*p + 79. Let f be 0 + 0 + 10/6. Let p*c + 7/3*c**4 - 2/3 - 3*c**3 - f*c**2 = 0. What is c?
-1, 2/7, 1
Let q be (-23)/(-5) - (8 + -5). Factor -2/5*d**2 - q - 8/5*d.
-2*(d + 2)**2/5
Let c be (22/(-99))/(1/(-9)). Suppose -3/5*d**c + 0*d + 3/5 = 0. Calculate d.
-1, 1
Let m(z) be the second derivative of -z**6/5 + z**5/5 + z**4/6 - 4*z. Suppose m(q) = 0. Calculate q.
-1/3, 0, 1
Suppose a - 5 + 21 = -4*v, 0 = 2*v + 3*a + 8. Let g be v/8*16/(-6). Determine b so that -1/3*b**3 - 2/3*b**2 + g*b**4 + 0 + 0*b + b**5 = 0.
-1, 0, 2/3
Find z, given that -z - 3/4*z**3 + 0 + 2*z**2 = 0.
0, 2/3, 2
Let z = 619/410 + -2/205. Find m, given that 0 + 1/2*m**5 - m + 5/2*m**2 - 1/2*m**4 - z*m**3 = 0.
-2, 0, 1
Let q(r) = r**4 - r**2 + r + 1. Let o(n) = -n**5 - 5*n**4 - 5*n**3 - n**2 - n - 1. Let j be -1 - (-2 - (-1 - -2)). Let v(w) = j*q(w) + 2*o(w). Factor v(i).
-2*i**2*(i + 1)**2*(i + 2)
Solve -10/3 + 35/3*z**2 - 25/3*z = 0 for z.
-2/7, 1
Let d(k) be the first derivative of k**4 + 16*k**3/3 + 6*k**2 - 4. Factor d(z).
4*z*(z + 1)*(z + 3)
Let s(h) be the second derivative of h**8/4800 + 2*h**7/1575 + 11*h**6/3600 + h**5/300 + 5*h**4/12 - 4*h. Let o(l) be the third derivative of s(l). Factor o(j).
(j + 1)**2*(7*j + 2)/5
Suppose 34*j + 12 = 40*j. Factor 6/5*t**3 - 2/5*t**j + 0 + 2/5*t**5 + 0*t - 6/5*t**4.
2*t**2*(t - 1)**3/5
Let h be (-6)/(-2 + (-3)/(-6)). Solve 0*z**2 + 4*z**2 + z**2 - 2*z**h - z + z**5 - 3*z**2 = 0.
-1, 0, 1
Let s(d) be the second derivative of -2*d**7/21 - 2*d**6/5 - d**5/5 + d**4 + 4*d**3/3 + 12*d + 4. Solve s(h) = 0 for h.
-2, -1, 0, 1
Let g = -4 - -6. Let w(j) be the second derivative of 0 + 1/42*j**4 + 2/21*j**3 + 2*j + 0*j**g. Factor w(h).
2*h*(h + 2)/7
Let z be ((-4)/20)/((3 + -1)/(-2)). Let w(a) be the second derivative of 0*a**3 + 0 + z*a**5 - a**2 + a + 1/2*a**4. Determine g, given that w(g) = 0.
-1, 1/2
Let m = 8 - 6. Suppose n**2 - n**2 - n**m + 2*n**2 = 0. Calculate n.
0
Determine u so that 1675*u**4 - 109*u - 1910*u**3 - 375*u**5 + 38*u + 820*u**2 - 49*u = 0.
0, 2/5, 2/3, 3
Find y such that 2/5*y**5 + 0 - 8/5*y**4 - 8/5*y**2 + 2/5*y + 12/5*y**3 = 0.
0, 1
Let a be (-8)/6*(-150)/20. Let f(k) = k - 8. Let t be f(a). Factor n**3 + 0 - 1/2*n**4 - 1/2*n**t + 0*n.
-n**2*(n - 1)**2/2
Let o = 31/92 - 2/23. Find n such that -o*n**2 + 1/2*n + 3/4 = 0.
-1, 3
Let w be (0/3)/(8/(-4) + 0). Let v(i) be the third derivative of -1/120*i**5 + 0*i**3 + w*i + 0 + 3*i**2 + 1/24*i**4. Factor v(l).
-l*(l - 2)/2
Let b(p) = -p**2 + p + 1. Let y(w) = -5*w**2 + 15*w. Let g(f) = -10*b(f) + y(f). Determine n so that g(n) = 0.
-2, 1
Let v(x) be the third derivative of x**6/150 + x**5/25 + x**4/10 + 2*x**3/15 + x**2 + 7*x. Let v(d) = 0. What is d?
-1
Let g = -431/6 - -3125/42. Let w = -29/14 + g. Factor 1/2*p**2 + 0 - w*p.
p*(p - 1)/2
Let a be ((-4)/3)/((-1)/6). Suppose -4 = -3*z + a. Solve r**3 + 0 - 3*r**2 + 14/3*r**z + 2/3*r = 0.
-1, 0, 2/7, 1/2
Suppose -2*s = -4*m + 49 - 7, 0 = 4*m - s - 45. What is w in -8/3 - 25/3*w**3 + m*w - 10*w**2 = 0?
-2, 2/5
Let y(g) be the first derivative of -2*g**6/3 + 10*g**5/3 - 41*g**4/6 + 22*g**3/3 - 13*g**2/3 + 4*g/3 - 1. Suppose y(r) = 0. Calculate r.
1/2, 2/3, 1
Let x(p) be the first derivative of -7*p**5/15 + p**4 + 4*p**3/9 - 33. Factor x(k).
-k**2*(k - 2)*(7*k + 2)/3
Let z(k) be the first derivative of 1/5*k**3 + 1/5*k - 1 - 1/20*k**4 - 3/10*k**2. Factor z(s).
-(s - 1)**3/5
Let x be (-128)/(-96)*(-9)/(-4). Solve -6/5*p**2 + 3/5*p - 3/5*p**x + 6/5 = 0 for p.
-2, -1, 1
Suppose -4*t = -7*t + 36. Factor -3*f + 14*f**2 + f + f - t*f**2.
f*(2*f - 1)
Let p = 12 + -7. Let r(j) be the first derivative of 0*j**2 + 1/3*j**3 + 0*j - 3 + 0*j**4 - 1/5*j**p. Factor r(l).
-l**2*(l - 1)*(l + 1)
Let b(h) be the third derivative of -h**5/20 + 17*h**4/24 - 5*h**3/3 - 11*h**2. Suppose b(l) = 0. Calculate l.
2/3, 5
Let m = -354 - -2482/7. What is j in -2/7*j - 2/7 + m*j**2 = 0?
-1/2, 1
Let n(j) = j**3 - 7*j**2 + 4*j - 4. Let b(y) = -3*y**3 + 27*y**2 - 15*y + 15. Let w(x) = -4*b(x) - 15*n(x). Factor w(f).
-3*f**2*(f + 1)
Let q(i) be the first derivative of 2*i**3/21 - 2*i**2/7 - 9. Factor q(n).
2*n*(n - 2)/7
Suppose 0*y + 8/3*y**2 + 0 + 10/3*y**5 + 34/3*y**4 + 32/3*y**3 = 0. What is y?
-2, -1, -2/5, 0
Let z(v) = 1. Let c(g) = -4*g**2 + 56*g + 2. Let u(m) = -c(m) + 2*z(m). Let u(s) = 0. Calculate s.
0, 14
Let d be (3 - (-11)/(-3))*-3. Solve 2*m**3 + 12 + d*m**2 - 12 = 0.
-1, 0
Factor 2/3*r**3 + 8/15 + 16/5*r + 14/5*r**2.
2*(r + 2)**2*(5*r + 1)/15
Let h be (-2)/(-11) + (-97)/(-11). Let r(o) = o**3 - 8*o**2 - 8*o - 7. Let x be r(h). Factor 4*j - 25*j**3 + 2*j**x + 26*j**3 - 3*j.
j*(j + 1)**2
Factor -4*r**2 - 34*r**4 + 0 - 5*r**5 - 32*r + r**5 + 38*r**4 + 20*r**3 - 16.
-4*(r - 2)**2*(r + 1)**3
Suppose 13*z - 17*z = -80. Let c be 6*z/15 + -4. Factor -1 + 128*s**5 - 128*s**c - 31/2*s - 208*s**3 - 88*s**2.
(s - 2)*(4*s + 1)**4/2
Let y(t) = -t**3 + t**2 + t. Let q(j) = 6*j**3 - 10*j**2 - 4*j + 8. Let i(z) = q(z) + 4*y(z). Solve i(w) = 0 for w.
-1, 2
Let h(a) be the first derivative of 4*a - 5 + 3/2*a**2 - 1/3*a**3. Factor h(u).
-(u - 4)*(u + 1)
What is p in -4*p**2 - 5*p**2 - 9*p - 34 + 6*p**2 + 46 = 0?
-4, 1
Suppose 4*j + 12 = -12. Let c(w) = -4*w**3 + 6*w**2 - 2. Let u(g) = -5*g**3 + 7*g**2 - 3. Let s(i) = j*c(i) + 4*u(i). Factor s(y).
4*y**2*(y - 2)
Let f(l) be the second derivative of 4*l**6/25 + 17*l**5/50 - l**4/30 - l**3/3 + l**2/5 - 21*l. Let f(u) = 0. What is u?
-1, 1/4, 1/3
Let r = 1 - -2. Suppose m**r - 4*m + 6*m + m**3 - 5*m**2 = 0. What is m?
0, 1/2, 2
Solve 3*r**3 - 3*r**3 + 24*r**2 + 48*r + 0*r**3 + 3*r**3 = 0.
-4, 0
Let l(u) be the first derivative of u**8/336 - u**7/210 + 3*u**2/2 + 1. Let f(r) be the second derivative of l(r). Let f(d) = 0. What is d?
0, 1
Let x(y) be the second derivative of y**6/60 - y**5/10 - y**4/8 + 5*y**3/6 + 2*y**2 + 64*y. Factor x(a).
(a - 4)*(a - 2)*(a + 1)**2/2
Let k(c) = 0 + c + 4 + 3. Let y be k(-5). Factor -1 + 7/2*w**y + 5/2*w.
(w + 1)*(7*w - 2)/2
Let a be (6/5)/(6/10). Factor 1/4*z**a - 1 + 0*z.
(z - 2)*(z + 2)/4
Let m(z) be the second derivative of z**7/14 - 3*z**5/20 - 6*z. Determine l so that m(l) = 0.
-1, 0, 1
Let q(j) be the third derivative of -j**11/1164240 + j**9/105840 - j**7/17640 - j**5/20 - 3*j**2. Let x(z) be the third derivative of q(z). Factor x(l).
-2*l*(l - 1)**2*(l + 1)**2/7
Let l(z) = 5*z**2 + z. Let d(a) = 21*a**2 + 3*a. Let g(s) = -2*d(s) + 9*l(s). Factor g(y).
3*y*(y + 1)
Suppose 0*f - 5*f = 30. Let t be (f/(-8))/((-9)/(-6)). Solve t - o**2 + 1/2*o = 0.
-1/2, 1
Suppose 0 = s + 3, 5*i + s = 12. Determine y, given that -i*y + 3*y**2 - 2*y + 4*y + 4*y = 0.
-1, 0
Let o(m) = 14*m**2 - 17*m - 2. Let t(h) = -7*h**2 + 8*h + 1. Let p(u) = 6*o(u) + 15*t(u). Factor p(c).
-3*(c - 1)*(7*c + 1)
Let g(h) be the second derivative of h**6/3 + h**5/4 - 13*h. Factor g(j).
5*j**3*(2*j + 1)
Let o(m) be the third derivative of -m**6/300 - m**5/50 + m**4/60 + m**3/5 + 50*m**2. Factor o(l).
-2*(l - 1)*(l + 1)*(l + 3)/5
Let g(s) be the first derivative of s**3/3 - s**2/4 - s/2 + 6. Factor g(o).
(o - 1)*(2*o + 1)/2
Let m(c) be the third derivative of 0*c**4 + 0*c**3 - 3/160*c**6 + 2*c**2 - 1/448*c**8 + 3/280*c**7 + 0*c + 0 + 1/80*c**5. Let m(o) = 0. Calculate o.
0, 1
Let d(q) be the first derivative of 3*q**4/20 - 3*q**3/5 + 3*q**2/5 - 16. Factor d(n).
3*n*(n - 2)*(n - 1)/5
Let m be (-28)/(-4)*(-1)/(-7). Let x(t) be the first derivative of m - 4*t - 9/4*t**4 - 8*t**2 - 7*t**3. Factor x(l).
-(l + 1)*(3*l + 2)**2
Factor 4*l + 4/5*l**3 - 24/5*l**2 + 0.
4*l*(l - 5)*(l - 1)/5
Let c(b) be the first derivative of -b**6/30 - 3*b**5/25 - 3*b**4/20 - b**3/15 + 2. Factor c(r).
-r**2*(r + 1)**3/5
Factor -2/9*t**3 + 16/9 + 8/9*t - 4/9*t**2.
-2*(t - 2)*(t + 2)**2/9
Let b(o) be the first derivative of o**6/15 + o**5/10 - o**4/6 - o**3/3 + 2*o - 1. Let c(q) be the first derivative of b(q). Determine f so that c(f) = 0.
-1, 0, 1
Let k(m) be the third derivative of -m**6/48 + m**5/24 + 5*m**4/48 - 5*m**3/12 + 4*m**2. Find t, given that k(t) = 0.
-1, 1
Suppose -5 = 3*x - 4*x. Let t(h) be the first derivative of -8*h + 2*h**2 + 10/3*h**3 - 1/6*h**6 + 1 - | {
"pile_set_name": "DM Mathematics"
} |
w. Which is the nearest to l? (a) 0.2 (b) -0.1 (c) -4
b
Let i = 4.2 + -5. Let l = i - 6.2. Let f = 5 + -3. Which is the closest to -1? (a) l (b) -1 (c) f
b
Let u = -468 - -483. What is the nearest to 0.2 in -7, 0, u?
0
Let z be 949/65 + -2 - 13. Which is the closest to z? (a) 0.2 (b) -2/71 (c) -4 (d) 4
b
Let x = 1.933 - -0.067. Let t = 4.056 + -0.056. What is the closest to x in 0.5, t, -3?
0.5
Let m be (-28)/(-5)*(-470)/(-188). Let v(f) = -2*f**2 + f**2 + 10 + 7*f + 6*f. Let d be v(m). Which is the closest to 0.1? (a) -3 (b) -1 (c) d
b
Let g = 45/23 + -181/69. Which is the closest to -0.1? (a) 1 (b) 0 (c) g (d) 0.2
b
Let l = 1413 + -1418. Which is the closest to l? (a) 10 (b) -2/9 (c) 2/9
b
Let d be (-15)/(-2)*(-26)/(-39). Let p = 4.08 + -4. Let q = 4.08 - p. Which is the closest to d? (a) q (b) -0.3 (c) 1/5
a
Let j = -1992 - -1997. What is the nearest to -1/4 in 0.4, 1/3, j?
1/3
Let g = 3983/9 - 443. Let m be (4 - -1) + -6 - 5/(-3). Which is the closest to 2? (a) g (b) m (c) 3
c
Let f = -62449/105 + 10402/15. Let s = f + -99. Let h = -1 - 1. Which is the closest to 10? (a) s (b) 4 (c) h
b
Let f = -0.7 - -0.8. Let i = -6.4 + 6.1. Let g be 1/1 + 52/(-60). Which is the nearest to f? (a) -0.1 (b) i (c) g
c
Let v = 537/1855 - 1/265. Let l be ((-2)/(-8) - (-153)/24)*2. Let y = l + -13. What is the closest to -8 in v, y, 2/19?
2/19
Let q = -0.094 - -0.594. Let i = 5 + -2. What is the closest to 0 in i, q, 0.1?
0.1
Let s = -782 - -778. Which is the closest to s? (a) -0.05 (b) -2/17 (c) 1 (d) -5
d
Let q = 7.9 + -2.4. Let g = -5 + q. Let j = 2/1593 + 3176/7965. Which is the closest to j? (a) -1/2 (b) -3/7 (c) g
c
Let n = 12.44 + 5.56. What is the nearest to 2 in -3, 4, n?
4
Suppose -5*t + 80 = -t. Let o be ((-22)/t - -1)*-4. What is the nearest to o in -0.1, 0.02, -3?
0.02
Let j = 6.42 + -6.32. What is the closest to j in 1, 53, 0?
0
Let j = -0.7 + -0.7. Let f = j - -0.6. Let u = -0.6 - f. What is the nearest to 1 in -3, u, 3?
u
Let k be ((-1)/(-28))/((-22)/77). Which is the nearest to 22? (a) 2/5 (b) k (c) -1/3
a
Let x(s) = 4*s + 1. Let t be x(1). Let c = -61.1 + 61.3. What is the nearest to 0 in -9, c, t?
c
Let f(x) = -x + 5. Let l be f(0). Suppose 5*k + 203 = 4*k - 2*r, -l*k - 2*r = 991. Let j = k + 4139/21. What is the nearest to 1 in 5, j, 0.1?
0.1
Let l = -25 + 42. What is the nearest to l in 0, 0.5, -4?
0.5
Let f = 0.29 - 0.39. Let x be 2/(-6) + (-16)/(-12). Suppose 2*o = o + x. Which is the closest to f? (a) -0.5 (b) -1 (c) o
a
Let f(i) = -i**2 + 4*i + 12. Let h be f(6). Suppose h = 2*v - 6 - 14. Suppose -2*t = 3*t + v. What is the closest to 0.1 in -1, t, -5?
-1
Suppose 2*m + 38 = 12. Let w = m - -16. Suppose 0 = -0*o + w*o - 15. Which is the nearest to 0.1? (a) o (b) -0.4 (c) -2/9
c
Let a = -2619 + 2615. Let t = -13 - -8. Let k = -4.5 - t. What is the closest to 7/2 in a, -0.4, k?
k
Let l(c) = -c**3 + 13*c**2 + 29*c + 17. Let w be l(15). What is the closest to 2 in 4, w, -4, 2/7?
w
Let t = -1 - -1. Let u be (-60)/(-14) - (140/7)/5. What is the nearest to u in t, 0.5, -4?
0.5
Let h = 31/4 - 157/20. Let f be 18/(-81) - (-4)/6. What is the closest to f in 0, h, 2?
0
Let v = -6 - -6.07. Let a = 186 + -188. Let i = a - -5. What is the closest to 2 in v, i, 2/15?
i
Let l = 466 - 465.98. What is the closest to -2/115 in 2, l, -3?
l
Let q = 0.23 + 0.51. Let i = q + -0.74. What is the closest to 1 in 8, i, -2/9?
i
Let k = -856 + 861.052. Let h = -0.052 + k. What is the nearest to 1 in 1/4, 0, h?
1/4
Let t be 104/286 + 130/(-176). Which is the nearest to -2/11? (a) -3 (b) t (c) 0.3
b
Let u = 680 + -680.4. What is the closest to 0.3 in 0.4, 3, u, -0.2?
0.4
Let f = 4 - 4. Let g = 119 - 955/8. Suppose -5*q + 4*s + 11 = 0, -3*s + 4*s = q - 2. What is the closest to 1 in q, g, f?
f
Let o be 6/3*(-3 + 4). Suppose 5 = o*f - 85. Let j be (-80)/f + 2/(-9). Which is the nearest to 0? (a) -1 (b) j (c) -2/7
c
Let u(l) = -3*l + 45. Let o(r) = -r + 15. Let v(k) = 11*o(k) - 4*u(k). Let f be v(16). Which is the nearest to f? (a) -1 (b) 2/3 (c) -0.02
b
Let q be 1/35 - -24*(-15)/840. Let v = 17/2 + -9. What is the nearest to q in -2, -4, v?
v
Let f be (-2 + 4)*(-15)/50. Which is the closest to -0.1? (a) 1/5 (b) f (c) -0.2
c
Suppose 3*t = -0*t. Let p = 973.1 + -973. Which is the nearest to t? (a) p (b) -5 (c) -8/3
a
Let j = -118 - -123. Let s = -0.2 + 2.2. Let y = -7 + s. Which is the nearest to j? (a) 1 (b) y (c) 2/5
a
Let o = -3.61 - -19.91. Let x = -16 + o. Which is the nearest to -1? (a) 0.4 (b) 0 (c) x
b
Suppose -21*a - 155 = 10*a. What is the nearest to -1/2 in 12, a, 0.1, 0?
0
Let b = 0.6 + -0.5. Let j = 27.7148 - 0.0148. Let i = j + -28. What is the closest to b in i, 2, -1/5?
-1/5
Let d = -3.09 - 1.01. Let z = d + 4. What is the closest to -0.1 in z, -2/9, -0.5?
z
Let u = 116 - 115. Which is the closest to -4/3? (a) u (b) -2 (c) -1/5
b
Suppose -4*s - 180 = s. Let t = s - -37. Which is the nearest to t? (a) 1 (b) -0.5 (c) -0.12
a
Let j = 64 - 64.1. Let q = 0.2 - 0.5. Which is the closest to j? (a) q (b) -5 (c) -0.2
c
Let h be ((-2)/(-4))/(-1 - -2). Let r be (-1 - 5/(-7))/((-32)/(-64)). Let d = 1.2 + -1.3. Which is the closest to h? (a) d (b) 5 (c) r
a
Let w = -129.94 + 130. Which is the closest to 0.2? (a) 0.3 (b) w (c) 1
a
Let t = -22.962 - -23. Let n = t + 1.962. Let k = -3 - -6. What is the closest to n in 0.1, k, -5?
k
Let d = -4/12251 - 9641381/477789. Let v = d - -61/3. Which is the nearest to v? (a) 7 (b) 0 (c) -5
b
Let i = -49 - -44. Which is the nearest to -1.7? (a) 0 (b) i (c) 0.3
a
Let n = -1 + 4. Let k = -19 - 1. Let u = k + 19.9. Which is the nearest to u? (a) 0.4 (b) n (c) 3/4
a
Suppose -u + 4*u + 8 = -p, 2*u = 3*p + 13. Suppose 4*m = -112 + 408. Suppose m*o - 6 = 71*o. Which is the nearest to u? (a) o (b) 0.1 (c) -0.2
c
Let q = -9.88 - -10.08. Let w be (2/(-2))/(-1)*-5. Let t = 2 + w. Which is the nearest to q? (a) t (b) 0.1 (c) 0.4
b
Let t be (8 - 8)*(6/(-8))/(-3). Which is the closest to -2? (a) t (b) 2 (c) 0.02
a
Let n = 53 - 52. Let y = 0.61 - -1.39. What is the closest to n in -0.4, -1, y?
y
Let h be (6 - (-132)/(-18))*3. Which is the nearest to h? (a) 2 (b) 3 (c) 1/10
c
Let q = -1465 + 1468. What is the closest to -5 in q, 0.1, -4?
-4
Let c = 1.1 + -1.6. Let k = -64.2 + 58. Let j = k - -5.9. What is the closest to j in c, 0.3, 2/3?
c
Let f(p) = -16*p - 180. Let i be f(-11). Let d = 0.3 - -1.7. Which is the nearest to 0? (a) d (b) i (c) 2/11
c
Let w be (-60)/(-105) - 3/(-7). Let s = -5 - -6. Which is the closest to w? (a) s (b) 2/11 (c) 0
a
Suppose -4*f + 9 = 3*g, 3 = f - 0*f. Let o be -4 + (-3)/g + -1. Suppose -2*q + 10*q + 8 = 0. What is the closest to o in q, -5, -0.5?
q
Let o = 22/75 - -8/75. Let p = -0.2 - -0.16. Let k be -3*(1 + (-20)/18). Which is the nearest to p? (a) k (b) 2/9 (c) o
b
Suppose -2*g = -2 + 2. Suppose -2*i + 14 = -3*y, g*i + 2*y + 6 = -2*i. Which is the nearest to -5? (a) i (b) 2 (c) 0
c
Suppose -3*f = -7*f - 16. Let q = -3.3 - -0.3. Let x = -46 + 183/4. What is the closest to x in q, f, -2?
-2
Let l = 42.23 + 0.77. Let i = l - 46. Let g = 0 + 0.1. Which is the closest to g? (a) i (b) 2/3 (c) -1
b
Let o be 5 + (-87)/12 + 2. Let i be ((-2)/(-12))/((-4)/(-8)). What is the closest to -2/5 in i, 2/3, o?
o
Let l = -179.1 + 179. Which is the nearest to l? (a) -2/9 (b) -1 (c) -25
a
Let w = -2.16 + 2. Let s = w + -0.14. Let u = 7 + -7.2. Which is the nearest to s? (a) u (b) 0 (c) -4
a
Let y = -100/91 + 18/13. Which is the nearest to 3/5? (a) -1/3 (b) -1/4 (c) y (d) -0.1
c
Let k = 89 - 85.1. Let i = -4 + k. Let l = -0.28 + 0.08. Which is the nearest to -1? (a) i (b) 2/15 (c) l
c
Suppose -6*h + 2*h + 20 = 0. Suppose -6*q - h = -2*q - p, 0 = -3*p + 15. Which is the closest to 2/9? (a) -5 (b) 0.2 (c) q
b
Let d = -0.2696 + 63.2296. Let o = -63 + d. Which is the closest to 0? (a) o (b) 0.1 (c) -2
a
Let y = 43 + -44. Let q be (-2)/(-6) + (-62)/9. Let d = -20/3 - q. Which is the closest to 0? (a) d (b) -2/17 (c) y
a
Let l(n) = -n - 13. Let q be l(-20). Let o = -0.1 + 0. Let b = -1 - -1.1. What is the closest to -1 in o, b, q?
o
Let f = -709.713 + 710. Let u = 0.013 + f. Which is the closest | {
"pile_set_name": "DM Mathematics"
} |
5*u = -8*u + 72. Let i = u - 20. What are the prime factors of i + (57 + 4 - -2)?
67
Suppose -r - 5*s + 1701 = -3*s, -5102 = -3*r - 5*s. What are the prime factors of r?
1699
Suppose 4*u = 20, 3 = 2*o - u - 2. Suppose -256 - 167 = -o*r + 4*t, 4 = -2*t. Suppose w + w = -v + r, 4*w - 2*v - 154 = 0. List the prime factors of w.
2, 5
Suppose 5 = f - 7. Suppose m - 44 = -f. What are the prime factors of m?
2
Let q = 54 + -57. What are the prime factors of q - 3*((-159)/9 + -3)?
59
Let z = 0 - 1. Let m = 1 - z. Suppose 116 = 5*g - 2*x, -3*g - 2*x + 80 = m*x. List the prime factors of g.
2, 3
Let u(c) = c**3 - 3*c + 4. Let l be u(-3). What are the prime factors of 28/98 + (-444)/l?
2
Let z = 42 - 16. Suppose -2*o + 3*o = 3*y - 17, 0 = 4*y - 3*o - z. Suppose y*w = 2*w + u + 111, 0 = 4*w - 5*u - 148. What are the prime factors of w?
37
Suppose 0 = -6*w + 7*w - 2. Suppose -w*b = -r - 212, 2*r - 106 = -7*b + 6*b. List the prime factors of b.
2, 53
Let d be ((-68)/16 - -4)*-2*6. Suppose 5*r - 33 = 27. Suppose 0 = -4*n + r, 5*f - d*n - 87 = -21. What are the prime factors of f?
3, 5
Let o = 55 - 48. Suppose -o*p + 3*p = -428. List the prime factors of p.
107
Suppose 4*q = -c + 114, -2*q + 3*q - 4 = 0. What are the prime factors of c?
2, 7
Suppose -10*n + 688 + 2122 = 0. List the prime factors of n.
281
Suppose 22 = 4*n - 2*a, 0*n - 5*a - 10 = -n. What are the prime factors of 341/n + -2 - 4/20?
2, 3, 11
Let y = -23 - -28. Suppose -y*z + 113 = -7. List the prime factors of z.
2, 3
Let k be 4*5*2/5. Let x be 4805/20 + (-2)/k. Suppose 8*q = 4*q + x. List the prime factors of q.
2, 3, 5
Let w be (54/4)/(2/4). Let m be (-1)/(2 + (-51)/w). Let f = m - -16. What are the prime factors of f?
7
Let j(s) = 11*s**2 + 2*s - 2. Let g be j(-2). Let f = g + -26. What are the prime factors of f?
2, 3
Let q(h) = -h**3 - 10*h**2 - 11*h - 10. Suppose o - 15 = 4*o - 5*c, 3*o = -3*c - 39. What are the prime factors of q(o)?
2, 5
List the prime factors of (-1*2/3)/(6/(-8316)).
2, 3, 7, 11
Let w be 1/(-3) + (-28)/(-3). Let i = w - 8. Let y = i - -8. What are the prime factors of y?
3
Suppose 28*j - 22*j = 36. Suppose j*i = -5*i + 1705. List the prime factors of i.
5, 31
Suppose 3*v - 156 = -0*v. Suppose p - v = 14. Suppose 3*m = 5*l - 139, 2*l = -l - 4*m + p. What are the prime factors of l?
2, 13
Let o = 677 + -410. Let s = o - 184. List the prime factors of s.
83
Let x(l) = l**2 + 28*l + 42. List the prime factors of x(22).
2, 571
Suppose 3*o = -0*o. Suppose -3*d + 6 + o = 0. What are the prime factors of (-1)/d - (-675)/18?
37
Let q(d) = -2*d**3 - 16*d**2 + 11*d - 11. Let n(c) = -2*c + 19. Let h be n(14). List the prime factors of q(h).
2, 13
Let t(x) be the third derivative of -5*x**4/24 + 2*x**3/3 - 6*x**2. List the prime factors of t(-8).
2, 11
Let a be (-12)/(-21) - (-34)/14. Suppose 252 = 4*p + 5*n, -a*p = -0*n - n - 170. What are the prime factors of p?
2, 29
Let u(l) = 11*l**3 - 7*l**2 + 21*l - 1. List the prime factors of u(4).
3, 5
Let w(o) = o**3 + 22*o**2 + 41*o + 23. Let s be w(-20). Suppose -4*t = -3*i + 279, s*i - 57 = 5*t + 219. List the prime factors of i.
97
Let o = -4 - -7. Let c = 301 - 141. Suppose 6*q = 3*q + o, 5*u = -5*q + c. List the prime factors of u.
31
Let i = -182 - -402. List the prime factors of i.
2, 5, 11
Let n = 8 - 10. Let s be (-1210)/(-33)*(-3)/n. Suppose 0 = -3*i - s + 145. What are the prime factors of i?
2, 3, 5
Let p = -866 - -1310. What are the prime factors of p?
2, 3, 37
Let q(v) = 58*v**2 - v + 1. Let n = -35 - -34. List the prime factors of q(n).
2, 3, 5
Let x(h) be the second derivative of -h**5/10 - 5*h**4/12 - h**3/6 - 3*h**2/2 + 2*h. Let k be 3/5 + 46/(-10). What are the prime factors of x(k)?
7
Let f be ((-508)/(-18) - -3) + (-4)/18. Suppose f*y - 6279 = 8*y. What are the prime factors of y?
3, 7, 13
Let h(m) = -m**2 - 14*m - 1. Let b be h(-14). Let n be 2 - (b*8 + 4). Suppose -12*u + 9*u + n = 0. What are the prime factors of u?
2
Let y(k) = 6*k - 4 + 4 - 3 - 2*k. Let i(z) = 3*z - 2. Let d be i(3). What are the prime factors of y(d)?
5
Suppose -3*m + 2 + 9 = w, 9 = 3*m. Let l = 66 + 34. Suppose -w*f = 2*f - l. List the prime factors of f.
5
Let r(g) be the third derivative of g**5/24 + g**4/8 - g**3/2 - 3*g**2. Let q(u) be the first derivative of r(u). What are the prime factors of q(5)?
2, 7
Let j = 2 - 2. Suppose 5*n - 1 + 11 = j. List the prime factors of 61/2 - 1/n.
31
Suppose -44*o + 19062 = -21330. List the prime factors of o.
2, 3, 17
Let s = 12 + -10. Suppose s*o - 4*h - 110 = 0, h + 53 = 5*o - 231. Suppose 2*g + 5*c = 52, -2*g + o = c + 5. List the prime factors of g.
2, 13
Let n = 98 - 95. Suppose -6*t + n*t + 772 = -l, 3*l + 1284 = 5*t. List the prime factors of t.
2, 3, 43
Suppose 7*a - 2*a - 28 = 4*s, 3*s = a - 10. Let c be -2 + (10 + s)/2. Suppose 3*q - 82 = -5*x, 26 = 4*q - 3*q + c*x. List the prime factors of q.
2, 17
Suppose 3*q = -4*w + 2996, -5*w + 2*q + 3780 = -3*q. List the prime factors of w.
2, 47
Suppose 39217 = 11*i - 25298. What are the prime factors of i?
3, 5, 17, 23
Let m(p) = p**3 + 2*p**2 + p - 1. Let b be m(2). Suppose 6*i = -b + 299. List the prime factors of i.
47
Suppose 4 = 4*s - 4*p, 2 = -0*s + 3*s - 4*p. Suppose 0 = j - s*d - 101, -d - 404 = -4*j - 2*d. What are the prime factors of j?
101
Let c = 117 + -67. What are the prime factors of (-8)/2 + c + 4?
2, 5
Suppose 128*p - 113*p = 31845. List the prime factors of p.
11, 193
Suppose 13*r - 14*r + 85 = 0. Suppose -r = 26*g - 27*g. What are the prime factors of g?
5, 17
Let w(a) = a - 1 + 1 - 2 + 0*a. What are the prime factors of w(12)?
2, 5
Let y(j) = 2*j + 20 - 8 - 9*j + 8*j. Let i be y(-7). Suppose i*l = -l + 234. What are the prime factors of l?
3, 13
Let g(s) be the first derivative of -s**4/4 - 5*s**3/3 + 6*s**2 + 12*s - 1. Let r be g(-7). Suppose -2*l + 46 + r = 0. List the prime factors of l.
2, 3
Let a be 5 - (2 - 1) - 4. Suppose 371 = 5*t + 3*x, -t + x + 79 = -a*t. List the prime factors of t.
2, 19
Let v(l) = 2*l**3 - 5*l**2 + 5*l + 1. What are the prime factors of v(4)?
3, 23
Let h = -691 - -922. List the prime factors of h.
3, 7, 11
Let w(h) be the second derivative of -h**4/12 + 19*h**3/6 - 5*h**2 + 2*h. List the prime factors of w(14).
2, 3, 5
Suppose 32 = 4*d - 244. Suppose 32 = f - 5*k - 19, -d = -f - k. Let g = f + -39. List the prime factors of g.
3
Let t be (-10)/(-5)*298/4. Suppose -4*y + 0*w = 2*w - 180, 0 = 3*y + 5*w - t. What are the prime factors of y?
43
Let t(k) = 3*k - 27. Let i be t(9). Suppose -5*u + 2*q = -0*q - 358, i = 3*u + q - 217. List the prime factors of u.
2, 3
Let i be (0*(-1)/(-4))/(-2). Let t be 4 + -2 - (i + -1). What are the prime factors of 3/t - (-32 + 3)?
2, 3, 5
Let s(i) be the first derivative of -8*i - 3/2*i**2 - 5. List the prime factors of s(-8).
2
Let z be 1/((-2)/(-1 - 11)). Let t(u) = 2*u**2 - 6*u - 1. Let m be t(z). Suppose m + 40 = 5*v. List the prime factors of v.
3, 5
Let t(h) = -2*h**3 - 7*h**2 + 17*h + 49. List the prime factors of t(-7).
3, 7, 13
Suppose 51*k - 1560 = 38*k. What are the prime factors of k?
2, 3, 5
Let x = 1624 + -1053. List the prime factors of x.
571
List the prime factors of 1/((-1)/(-13))*(-35 + 174).
13, 139
Suppose 2*y - 34816 = -6*y. What are the prime factors of y?
2, 17
Suppose 0 = f - 0*f - 7. Suppose -w = -6 + f. List the prime factors of -27*(-1)/(-1)*w.
3
Suppose -2*r - m + 28 = -14, 53 = 3*r - m. List the prime factors of r.
19
Let q(i) = i**2 - 2*i - 2. Let a be (-28)/21 + (-44)/(-6). List the prime factors of q(a).
2, 11
Let k(n) = n**2 + 4*n - 8. Let g be k(-6). Suppose -b - 4*r = -4*b + 169, -114 = -2*b + g*r. List the prime factors of b.
5, 11
Suppose -v = -y - 0*v, -4*y + 12 = -v. Let z(g) = -g + 17. Let a be z(11). Suppose y*u + a = 274. What are the prime factors of u?
67
Suppose -x + 2*z + 147 = 0, -2*z - 767 = -16*x + 11*x. Let d = 190 - x. List the prime factors of d.
5, 7
Suppose -12*z = -8*z - 24. Suppose -z + 15 = q. List the prime factors of q.
3
Let d = -93 - -99. Suppose 7 = s - d. List the prime factors of s.
13
Suppose 3*j = 2*r + 307, -16 = -2*r - 2*r. Let i = j - -22. List the prime factors of i.
127
Suppose -21*u + 7462 = -8*u. List the prime factors of u.
2, 7, 41
Let c(q) = -36*q - 92. What are the prime factors of c(-10 | {
"pile_set_name": "DM Mathematics"
} |
+ 4*h - 4. Let i(b) = 4 - b**3 + 22*b**2 + 0 + 42*b - 23*b**2 + 1. Let w be i(6). Determine p(w).
-9
Let a(i) = -i**3 + 4*i**2 + 2. Let l be a(4). Let n(m) be the first derivative of 6*m + m**2 - 3 + 0*m**l - m**2 + m**2. Calculate n(-6).
-6
Let p(g) be the first derivative of g**3/3 - 5*g**2 + 103. What is p(7)?
-21
Let q(r) = -2 + 4 + 65*r - 56*r + 4. Calculate q(-5).
-39
Let n(o) = 8*o**2 + 32*o + 57. Let c(t) = -2*t**2 - 8*t - 13. Let g(b) = 9*c(b) + 2*n(b). Give g(-5).
-13
Let d(c) = c**2 + 9*c + 3. Let g(v) = -2*v**3 + 16*v**2 - v - 1. Let k be g(8). Give d(k).
3
Let m be (-3 - -4)/((-4)/(-20)). Suppose 3*q - m - 4 = 0, -s + 3*q - 1 = 0. Suppose 0 = 4*t - s*t + 12. Let g(v) = -2*v**2 + 3*v + 4. Determine g(t).
-5
Let u be (-240)/32*(12/5 + 0). Let g(n) = -n - 26. What is g(u)?
-8
Let k = 181 + -179. Let m(v) = -6*v**2 + 2*v. Calculate m(k).
-20
Let x(h) be the third derivative of h**5/60 - h**4/24 + 5*h**3/6 - 91*h**2. Determine x(0).
5
Suppose -7*o + 2*o = 0. Let j(g) = -g**3 + 2*g**2 + g - 8. Let k = -7 - -4. Let h(x) = 2*x**3 - 3*x**2 - 2*x + 17. Let u(y) = k*h(y) - 5*j(y). Calculate u(o).
-11
Suppose 3*j - 9 = 3. Let n(g) = -6*g**3 - 26*g**2 - 31*g + 25. Let y(q) = q**3 + 5*q**2 + 6*q - 5. Let t = 7 + -9. Let u(k) = t*n(k) - 11*y(k). Give u(j).
5
Let r be -2 + 16/(-8) - -7. Let i = 7 - 5. Let q(l) = -l + i*l**2 - l**2 - 1 - l. Determine q(r).
2
Let v(x) = x**3 + 6*x**2 + 6*x - 1. Let g be v(-5). Let u be g*(4 - 27/6). Let h(n) = -n + 9 + u*n + 4*n - n**2 + 2*n. Determine h(8).
9
Let b(y) = 3*y - 32. Let r(p) = 5*p - 48. Let t(z) = -8*b(z) + 5*r(z). Calculate t(-7).
9
Let x(n) be the third derivative of 0*n**3 - 1/40*n**5 + 1/360*n**6 + 0 - 1/6*n**4 + 0*n - 5*n**2. Let v(a) be the second derivative of x(a). Calculate v(-5).
-13
Let f(t) = -2*t**2 - 11*t + 10. Let c(q) = -q**2 - 5*q + 5. Suppose 0 = -2*s + 4*s - 10. Let u(g) = s*c(g) - 2*f(g). What is u(-5)?
-5
Let t(l) be the second derivative of l**3 - 2*l. Let g be ((-2)/(-3))/((-4)/12). Determine t(g).
-12
Let t(i) = i**3 - 2*i**2 - 2*i - 4. Suppose 8*h = 5*p + 3*h - 70, 2*p = -4*h + 34. Let m(q) = -q**2 - 14*q + 18. Let n be m(-14). Let z = n - p. Give t(z).
-1
Let w(i) = i - 16. Suppose 13*h - 4*h - 108 = 0. Let r be w(h). Let y(v) = 5 - 4 + v + 0*v. What is y(r)?
-3
Let s(q) = 5*q - 1. Let h(z) = z. Let m(n) = 22*h(n) - 4*s(n). Let k(y) = -y**3 + 7*y**2 - 8*y + 9. Let u be k(6). Let c be u/(-1) + 0 + 0 + -8. Give m(c).
-6
Let p(u) = -u**3 - 3*u**2 - 2*u. Let o be (-92)/(-1)*(-2)/(-4). Let d = o - 48. Calculate p(d).
0
Suppose -8 = -3*o + 6*o - 2*x, 20 = -3*o + 5*x. Let j(p) = -p - 24 - 7 + 0*p + 34. Calculate j(o).
3
Let b(y) be the second derivative of y**5/10 - y**4/12 + y**3/6 - 3*y**2/2 - 26*y - 2. Give b(2).
11
Let p = -328 - -324. Let h(z) = z**3 + 7*z**2 + 9*z + 1. Determine h(p).
13
Let c = -67 + 97. Let q be (16/24)/(2/c). Let l be (-22)/4 + (-5)/q. Let b(p) = p**3 + 8*p**2 + 10*p + 6. What is b(l)?
18
Let q(r) = 0*r + r**3 + 5503 - 5498 - 5*r**2 - 4*r. Determine q(5).
-15
Let o(t) = 10*t + 13. Suppose 6 = -4*f + w, -799*w + 801*w = -5*f - 14. Determine o(f).
-7
Let o(z) = 2*z**3 - 5*z**2 + 3*z + 2. Let d be o(2). Let k(h) = 5*h - 6*h**2 + 4*h**2 - d*h - 2 + h**2. What is k(5)?
-22
Let f(l) = -l**3 + 17*l**2 - 28*l - 32. Let j be f(15). Let h(d) = 4 - 4*d + 2*d - 3 + 1 - 3*d**2. What is h(j)?
-6
Let r be 127 - (0 + (1 - 2)). Suppose 5*a + 2*j + 170 = 0, -3*a + 0*j = -4*j + r. Let i be 9/a + 34/8. Let d(o) = o**2 - 3*o - 5. Give d(i).
-1
Let n(p) = -111*p - 2 + 112*p - 1. What is n(8)?
5
Let f(r) = r**2 - 3*r - 8. Let a be f(7). Let n(q) = -13*q - 18*q + a*q. Calculate n(2).
-22
Let b(i) = -6*i**2 - 3*i - 2. Let x be (-6)/27 + (-43)/9. Let m be -2*(5/6)/x*-6. What is b(m)?
-20
Let d(j) = j**3 + 6*j**2 - 2*j - 9. Let z be d(-6). Let m(a) = -6 - 4*a**2 - 3*a + 5*a**z - 9*a**3 + 5*a**3. Let g(h) = 3*h - 7. Let y be g(4). Calculate m(y).
4
Let n(a) = 6*a + 6 + 2*a - 3*a + 2*a. Determine n(-5).
-29
Let g(t) = -3*t**2 + 9. Let x(m) = m**2 - 7*m - 6. Let f be x(7). Let c be (-24)/f + 1*-1. Let i(r) = -r**2 + 3. Let q(a) = c*g(a) - 8*i(a). Calculate q(-3).
-6
Let l(z) = -z**2 - z - 6*z - 2 + 3*z. Suppose 18*r + 9 = -45. Calculate l(r).
1
Let x be 2/(2/(-12)*-4). Let m(n) = n - 3*n + 6*n**2 + n**3 + n + 5 + x*n. Calculate m(-6).
-7
Let x(s) = 3*s**2 - 8*s + 4. Let o be ((-2)/4)/((-1)/(-10)). Let l(u) = -58*u**2 + 6*u + 53*u**2 - 4 - 2 + 6*u. Let g(n) = o*l(n) - 8*x(n). Determine g(-4).
-2
Let k(q) = 11*q**3 - 27*q**2 - 19*q - 20. Let x(d) = 5*d**3 - 13*d**2 - 9*d - 10. Let p(a) = -6*k(a) + 13*x(a). Determine p(-7).
11
Let p be (-46)/(-14) - (1 - (-15)/(-21)). Suppose 5 = p*x - 1. Let a(d) = 5*d**2 + 4 - 3 - 2*d**2. Determine a(x).
13
Suppose 6*b = 42 - 12. Let k(r) = -5*r**2 - 4. Let j(f) = 11*f**2 + f + 8. Let g(h) = 4*j(h) + 9*k(h). Give g(b).
-9
Let z(c) = 2*c - 4*c**2 - c**2 + 1 - 4*c. Let j(k) be the third derivative of -k**5/60 + 5*k**4/24 + 7*k**3/6 - 17*k**2. Let p be j(6). Give z(p).
-6
Suppose -6*i - 3*i + 36 = 0. Let l = -5 - -8. Suppose -i*u + 5*u = -l. Let j(f) = -3*f - 4. Calculate j(u).
5
Let r(u) = u**3 - 4*u**2 + u. Suppose 0 = 3*a - 5*a + 6. Let g be r(a). Let s(p) = p**3 + 5*p**2 - 6*p - 1. Give s(g).
-1
Let g(a) be the third derivative of a**4/24 + a**3/3 + 47*a**2. What is g(-6)?
-4
Let s(m) = 9*m**2 - 268*m**3 + 141*m**3 - 5 + m + 126*m**3. What is s(9)?
4
Let g(u) be the second derivative of u**5/20 - 7*u**4/12 - 5*u**2/2 + u - 34. Calculate g(7).
-5
Let r(t) = -5*t + 3. Suppose 2*j - 22 = 5*o + 14, 3*j = 9. Determine r(o).
33
Let z = 589 + -585. Let i(p) = 3 + 4 - 2 + 2*p. Give i(z).
13
Let o(c) be the second derivative of -c**4/12 - 5*c**3/6 + 4*c**2 + 10*c. Let p be 1*(-33)/(-6)*-2. Let b = -17 - p. Calculate o(b).
2
Let p(i) = i - 1. Let r(g) = -g + 1. Let y be r(1). Let u be (12/10)/(87/290). Suppose -2*t - u - 2 = y. Calculate p(t).
-4
Let b(i) be the first derivative of -2*i**2 + 2. Suppose 4*f + 3 + 5 = 0. Let q be (10/(-2) - f)/(-3). Determine b(q).
-4
Suppose -5*u = 56*u + 549. Let n(d) = -d**3 - 10*d**2 - 11*d. Calculate n(u).
18
Let v(k) be the third derivative of -k**6/120 + 13*k**5/60 - k**4/12 + 7*k**3/6 + 292*k**2. Give v(13).
-19
Suppose 3*b = b + 56. Let m = 26 - b. Let t(a) = a**2 - 3*a - 3. Determine t(m).
7
Let v(a) = -420*a - 415*a + 834*a + 16. Suppose 0*t = 2*t. Calculate v(t).
16
Let k(n) = -n**3 + 3*n + 7*n**2 - 7*n**2 - n - 4*n**2 + 6. Determine k(-4).
-2
Let t(w) be the third derivative of -w**5/60 + w**4/8 + 2*w**3/3 + 39*w**2 - 2*w. Calculate t(4).
0
Let f(x) = 2*x - 336 + 170 - x + 164. Give f(-8).
-10
Let w(f) = -3*f + 1. Let q(u) = -u**3 - 8*u**2 + 10*u - 2. Let s be q(1). What is w(s)?
4
Let l(q) = -q**3 + q - 5. Let y = -73 - -69. Let h be 2/(-4)*(y - -4)/6. What is l(h)?
-5
Let t(q) = 4*q - 4. Let j(b) = -b + 1. Let w(a) = -9*j(a) - 2*t(a). Let y(i) = -i**3 + 8*i**2 + 8*i + 3. Let r be y(9). Let p = r - -11. Determine w(p).
4
Suppose 10*p + 194 = 204. Let z(y) = y**3 + y - 1. Determine z(p).
1
Let u = -788 - -784. Let k(d) = -d**2 - 2*d - 5. Calculate k(u).
-13
Suppose 0*j - 2*j = 3*z, -4*z = j. Suppose q - 2*i = 33, -3*i - 12 = i. Let r(y) = y + q - 36 + 18. Calculate r(j).
9
Let t(b) = 8*b**3 + 2*b**2 - 2*b + 1. Suppose -3*d = -32 - 1. Suppose -18 = 2*r - 4*z, 2*z - d = -1. Determine t(r).
9
Let p(v) = 2*v**2 + 7*v + 3. Let s(n) = -n**2 - n + 1. Let g(z) = -p(z) - 3*s(z). Let m = -9 - -15. Let i be (-2)/((-8)/m + 1). Give g(i).
6
Let t(z) = 2*z - 26. Let c be t(17). Let u(s) = 5*s - 6 + 0 + 2*s**2 + c. Suppose -3*o - 3 - 6 = 0. Calculate u(o).
5
Let w(n) = -11*n**2 + 11*n - 4. Let s(z) = 2*z**2 - 2*z + 2. Let c(f) = -5*s(f) - w(f). What is c(0)?
-6
Let q(r) = -20*r**3 - 2*r**2 + 2*r - 1. Suppose 16 - 34 = -6*u. Suppose -2*d + 4 = -0*d, 2*n - 8 = -u*d. What is q(n)?
-21
Let g(h) = -4*h - 1. Let o(s) = 5*s**3 - 7*s**2 + 11*s - 18. Let u(i) = -i**3 - i. Let w(y) = -o(y) - 6*u(y). Let q be w(-8). Calculate g(q).
23
Let t(r) = 8*r**3 - r. Let j be (-1)/(-1)*(6 - -1). Suppose a - 6 = j*a. What is t(a)?
-7
Let n(v) = -7*v + 47. Let u(o) = -5*o + 47. Let l(k) = -4*n(k) + 5*u(k). Calculate l(-17).
-4
Let s(u) be the first derivative of -3*u - 1/3*u**3 + 3*u**2 - 24. What is s(4)?
5
Let d(l) be the first derivative of 2 + 1/ | {
"pile_set_name": "DM Mathematics"
} |
o the power of 1/2, to the nearest integer?
1979
What is the third root of 66344 to the nearest integer?
40
What is the cube root of 6040715 to the nearest integer?
182
What is the cube root of 2031384 to the nearest integer?
127
What is the square root of 1180184 to the nearest integer?
1086
What is the fifth root of 1892840 to the nearest integer?
18
What is 76436 to the power of 1/2, to the nearest integer?
276
What is 2684891 to the power of 1/2, to the nearest integer?
1639
What is the cube root of 14207393 to the nearest integer?
242
What is 116082 to the power of 1/9, to the nearest integer?
4
What is 53371 to the power of 1/5, to the nearest integer?
9
What is the third root of 1306437 to the nearest integer?
109
What is 1518466 to the power of 1/2, to the nearest integer?
1232
What is 2178207 to the power of 1/3, to the nearest integer?
130
What is the square root of 4381437 to the nearest integer?
2093
What is 5585843 to the power of 1/3, to the nearest integer?
177
What is 24608 to the power of 1/9, to the nearest integer?
3
What is 449241 to the power of 1/3, to the nearest integer?
77
What is the sixth root of 12108952 to the nearest integer?
15
What is the ninth root of 310231 to the nearest integer?
4
What is the sixth root of 221282 to the nearest integer?
8
What is 212811 to the power of 1/2, to the nearest integer?
461
What is the third root of 2038479 to the nearest integer?
127
What is the third root of 11888246 to the nearest integer?
228
What is the fourth root of 4032416 to the nearest integer?
45
What is 1198248 to the power of 1/2, to the nearest integer?
1095
What is the tenth root of 1528378 to the nearest integer?
4
What is the cube root of 595804 to the nearest integer?
84
What is the square root of 212581 to the nearest integer?
461
What is 871130 to the power of 1/2, to the nearest integer?
933
What is 8290859 to the power of 1/5, to the nearest integer?
24
What is the seventh root of 305176 to the nearest integer?
6
What is 196983 to the power of 1/5, to the nearest integer?
11
What is the cube root of 24124940 to the nearest integer?
289
What is 138404 to the power of 1/4, to the nearest integer?
19
What is 589085 to the power of 1/2, to the nearest integer?
768
What is the cube root of 1872238 to the nearest integer?
123
What is 3394293 to the power of 1/3, to the nearest integer?
150
What is the square root of 246116 to the nearest integer?
496
What is 19586259 to the power of 1/10, to the nearest integer?
5
What is the cube root of 1079472 to the nearest integer?
103
What is the cube root of 11080993 to the nearest integer?
223
What is the ninth root of 25724517 to the nearest integer?
7
What is 9506562 to the power of 1/9, to the nearest integer?
6
What is 282057 to the power of 1/4, to the nearest integer?
23
What is the square root of 440862 to the nearest integer?
664
What is 1497797 to the power of 1/2, to the nearest integer?
1224
What is the third root of 10553027 to the nearest integer?
219
What is 170047 to the power of 1/8, to the nearest integer?
5
What is the seventh root of 208403 to the nearest integer?
6
What is 1072324 to the power of 1/4, to the nearest integer?
32
What is 125586 to the power of 1/2, to the nearest integer?
354
What is the sixth root of 17243843 to the nearest integer?
16
What is 2031442 to the power of 1/2, to the nearest integer?
1425
What is the ninth root of 3816948 to the nearest integer?
5
What is the fifth root of 458968 to the nearest integer?
14
What is 2732757 to the power of 1/8, to the nearest integer?
6
What is the cube root of 236541 to the nearest integer?
62
What is 1974231 to the power of 1/9, to the nearest integer?
5
What is the fourth root of 1613336 to the nearest integer?
36
What is 275498 to the power of 1/6, to the nearest integer?
8
What is the square root of 1014575 to the nearest integer?
1007
What is 4829768 to the power of 1/6, to the nearest integer?
13
What is the ninth root of 2823832 to the nearest integer?
5
What is 482360 to the power of 1/6, to the nearest integer?
9
What is the third root of 458270 to the nearest integer?
77
What is the sixth root of 139791 to the nearest integer?
7
What is the tenth root of 4982307 to the nearest integer?
5
What is the square root of 45523 to the nearest integer?
213
What is the third root of 287863 to the nearest integer?
66
What is 224944 to the power of 1/6, to the nearest integer?
8
What is the eighth root of 4701246 to the nearest integer?
7
What is 7926283 to the power of 1/3, to the nearest integer?
199
What is the ninth root of 2566176 to the nearest integer?
5
What is the third root of 99526 to the nearest integer?
46
What is 3628450 to the power of 1/8, to the nearest integer?
7
What is the third root of 147509 to the nearest integer?
53
What is 111697 to the power of 1/9, to the nearest integer?
4
What is the seventh root of 527551 to the nearest integer?
7
What is the fourth root of 4674298 to the nearest integer?
46
What is the square root of 1467878 to the nearest integer?
1212
What is the fifth root of 10767056 to the nearest integer?
25
What is 140825 to the power of 1/3, to the nearest integer?
52
What is the fourth root of 2868384 to the nearest integer?
41
What is 18671860 to the power of 1/2, to the nearest integer?
4321
What is 1384546 to the power of 1/10, to the nearest integer?
4
What is 1741950 to the power of 1/3, to the nearest integer?
120
What is the square root of 5239 to the nearest integer?
72
What is the third root of 5897978 to the nearest integer?
181
What is 563093 to the power of 1/3, to the nearest integer?
83
What is 10419477 to the power of 1/2, to the nearest integer?
3228
What is 26294564 to the power of 1/9, to the nearest integer?
7
What is 834791 to the power of 1/4, to the nearest integer?
30
What is the third root of 6230848 to the nearest integer?
184
What is the square root of 17596 to the nearest integer?
133
What is the cube root of 2691885 to the nearest integer?
139
What is 662307 to the power of 1/3, to the nearest integer?
87
What is the seventh root of 819766 to the nearest integer?
7
What is 166557 to the power of 1/7, to the nearest integer?
6
What is the third root of 1919454 to the nearest integer?
124
What is 2490114 to the power of 1/9, to the nearest integer?
5
What is 890358 to the power of 1/3, to the nearest integer?
96
What is the third root of 582103 to the nearest integer?
83
What is 9889947 to the power of 1/2, to the nearest integer?
3145
What is 317473 to the power of 1/10, to the nearest integer?
4
What is the third root of 5335663 to the nearest integer?
175
What is 1004360 to the power of 1/7, to the nearest integer?
7
What is the ninth root of 34316713 to the nearest integer?
7
What is 2473088 to the power of 1/7, to the nearest integer?
8
What is 10243832 to the power of 1/2, to the nearest integer?
3201
What is the fifth root of 12740131 to the nearest integer?
26
What is 38713 to the power of 1/5, to the nearest integer?
8
What is 198230 to the power of 1/3, to the nearest integer?
58
What is 4188867 to the power of 1/2, to the nearest integer?
2047
What is the square root of 2704854 to the nearest integer?
1645
What is the cube root of 9439293 to the nearest integer?
211
What is the third root of 45108 to the nearest integer?
36
What is the square root of 1655076 to the nearest integer?
1286
What is the square root of 5477232 to the nearest integer?
2340
What is the square root of 1112349 to the nearest integer?
1055
What is the ninth root of 32463300 to the nearest integer?
7
What is the third root of 143093 to the nearest integer?
52
What is 1185635 to the power of 1/7, to the nearest integer?
7
What is 21824148 to the power of 1/3, to the nearest integer?
279
What is the third root of 5568055 to the nearest integer?
177
What is 19680620 to the power of 1/9, to the nearest integer?
6
What is the tenth root of 305858 to the nearest integer?
4
What is the eighth root of 1191157 to the nearest integer?
6
What is 9535823 to the power of 1/3, to the nearest integer?
212
What is the square root of 34801670 to the nearest integer?
5899
What is 32822 to the power of 1/9, to the nearest integer?
3
What is 1421682 to the power o | {
"pile_set_name": "DM Mathematics"
} |
*b*m - 5*b*t**2 + 3*m*t**2 + 221*m*t wrt b.
86688*b**2*m*t**2 + 1838*m
Find the third derivative of 3*n**3*o + 3704059*n**3 - 2*n**2*o - 2*n**2 - 2*n*o + 14*n - 2044*o - 2 wrt n.
18*o + 22224354
What is the first derivative of -381580543*t + 464677261?
-381580543
Find the second derivative of -46*q**4 - 5*q**3 + 207464*q**2 + 1859359*q - 72.
-552*q**2 - 30*q + 414928
What is the first derivative of 149403153*k - 76579007 wrt k?
149403153
Find the third derivative of 6758763*a**5*z + 3*a**5 + 5*a**2*z + 15312*a**2 + 366*a*z wrt a.
405525780*a**2*z + 180*a**2
Find the third derivative of 2*t**5 - 21*t**4 - 140130*t**3 - 14*t**2 + 2*t + 99000.
120*t**2 - 504*t - 840780
Find the second derivative of -36837181*r**3 + 37864000*r.
-221023086*r
Find the second derivative of -1188465*m**3*x**3 + 15*m*x**3 - 140973*m wrt m.
-7130790*m*x**3
What is the first derivative of -25399279*o - 9677516?
-25399279
What is the third derivative of 914*p**4 - 28064*p**3 - 89*p**2 - 3*p - 3143 wrt p?
21936*p - 168384
Find the third derivative of -70196*f**3*k**2 + 109*f**3*k + 8*f**2*k**2 - f**2*k + 28*f*k**2 - 6*f + 30*k**2 wrt f.
-421176*k**2 + 654*k
Find the third derivative of 33147168*g**5 + 34*g**2 - 15*g + 1869.
1988830080*g**2
Find the second derivative of 14628145*q**2 - 2475940*q + 1 wrt q.
29256290
Find the first derivative of 566*u*x - 19402*u - 38727*x - 86 wrt u.
566*x - 19402
Find the second derivative of 16662936*i**2*m**2*u**2 + 7*i**2*m**2*u + 4*i*m*u**2 - 2*i*u**2 - i + 55*m**2*u**2 - 2*m*u**2 + 13*m*u wrt i.
33325872*m**2*u**2 + 14*m**2*u
What is the second derivative of -27877063*u**2 + 39692*u - 77?
-55754126
Find the third derivative of 271*z**6 + 82846*z**5 - 2*z**3 + 155989592*z**2.
32520*z**3 + 4970760*z**2 - 12
What is the third derivative of -40370855*f**5*m**3 - 2*f**2*m**3 + 5*f**2*m**2 + 11*f**2 + 472*f + 3*m wrt f?
-2422251300*f**2*m**3
What is the second derivative of 27840209*u**2 - 15*u + 792953?
55680418
Find the third derivative of -8689520*d**4 - 4*d**3 - 780*d**2 + 30716*d.
-208548480*d - 24
Differentiate -11951*j**3 - 12*j**2 - 6842836.
-35853*j**2 - 24*j
Find the second derivative of -44*d**5 - 305636*d**3 + 2*d**2 + 8673855*d wrt d.
-880*d**3 - 1833816*d + 4
What is the second derivative of -12875866*k**2 - 31428643*k + 1?
-25751732
Find the second derivative of 357381133*c**2*v**2 - 3*c**2*v - 2728120*c*v + 25*c + v wrt v.
714762266*c**2
Find the first derivative of 4370399*m + 10124047.
4370399
Find the third derivative of -12350982*k**3 - 91493*k**2 - k - 2.
-74105892
What is the third derivative of -v**6 + 468539*v**3 + 26*v**2 - 19*v + 123 wrt v?
-120*v**3 + 2811234
Find the second derivative of 10428714*u**4 + 7516*u + 79 wrt u.
125144568*u**2
Find the second derivative of -8721651*k*v**2 - 2*k*v + 218093*k - v**3 - 4*v - 2 wrt v.
-17443302*k - 6*v
Find the second derivative of 2*f**2*v**2 - f**2*v + 6*f**2 - 19315031*f*v**2 - 14*f*v + 5*f + 2*v**2 - 5*v + 5 wrt v.
4*f**2 - 38630062*f + 4
What is the third derivative of 112087849*l**3 + 67885*l**2 + 656 wrt l?
672527094
Find the second derivative of 110372*p**2*t**2 + 7*p**2*t - 34*p**2 + 23*p*t - 5*t**2 + 35428*t wrt p.
220744*t**2 + 14*t - 68
Find the first derivative of -a*s + 30896771*a - 910*s**2 - 150*s wrt s.
-a - 1820*s - 150
What is the third derivative of -51557986*x**3 - 4*x**2 - 194500*x - 5 wrt x?
-309347916
What is the second derivative of 152*d**2*u**2*w**2 + 202*d**2*u - 2*d**2*w + 4144*d*l*w**2 - 22422*l*u**2*w**2 + l*w wrt u?
304*d**2*w**2 - 44844*l*w**2
What is the third derivative of 2*h**4 + 614118*h**3*i - 453*h**2*i - 58*h**2 - 3*h*i + 9 wrt h?
48*h + 3684708*i
What is the third derivative of -163*a**4 + 64175*a**3*t - 2*a**2*t - 5*a**2 - 5*a*t - a - 1142*t wrt a?
-3912*a + 385050*t
Find the third derivative of -3621366*j**5 - 3964025*j**2 wrt j.
-217281960*j**2
What is the derivative of -495191258*h**2 - 267389681 wrt h?
-990382516*h
Find the third derivative of 2470053*r**3 + 6947749*r**2.
14820318
Find the third derivative of -216233606*g**3 + 7*g**2 + 2984667 wrt g.
-1297401636
Find the second derivative of -53670036*m**2 - 9*m + 722992.
-107340072
What is the third derivative of -85*h**3*r - 4037*h**3*t + h**3 - 2*h**2*r*t - 3*h*r*t - 29*h*r - 2*h*t + 31*h + r*t + 764*r wrt h?
-510*r - 24222*t + 6
What is the third derivative of -2844530*c**5 - c**4 + 3*c**3 - 836369*c**2 - c - 4 wrt c?
-170671800*c**2 - 24*c + 18
Find the second derivative of -1301*j**3 + 525*j**2 + 738*j - 1524.
-7806*j + 1050
What is the first derivative of -5*d**3*x**3 + 13432365*d**3 + 457*d*x**4 wrt x?
-15*d**3*x**2 + 1828*d*x**3
Find the second derivative of 12528060*a**2 + 4773373*a wrt a.
25056120
Find the second derivative of -16206059*d**2*t + d*t + 2757*d + 86*t + 2 wrt d.
-32412118*t
What is the second derivative of -166*c*s**3 - 760*c*s**2 + 76*c*s + c + 36*s**3 - 36754*s - 2 wrt s?
-996*c*s - 1520*c + 216*s
What is the first derivative of -3*g**3 - 16*g*s + 37193*g - 5919204*s wrt g?
-9*g**2 - 16*s + 37193
Differentiate 34*g**3 - 173566*g + 131538914 wrt g.
102*g**2 - 173566
What is the second derivative of 22*d**3*q**3 - 311274*d**3*q**2 + 29718338*d**3*q wrt q?
132*d**3*q - 622548*d**3
Differentiate -7690006*s**4 - 25270331.
-30760024*s**3
Find the third derivative of 5176*l*s**4 - 3*l*s**3 + 4*l*s**2 - 64660*l*s - 4*l - 2*s**4 + 55*s**3 wrt s.
124224*l*s - 18*l - 48*s + 330
Find the second derivative of -62566041*g**2 - 45304792*g.
-125132082
Find the second derivative of 2576*s**3*z + 542*s**3 - 14*s**2 - 634*s*z - 6*s + 14*z + 686 wrt s.
15456*s*z + 3252*s - 28
Find the third derivative of -5465*f**4 + 11502*f**3 + 49764139*f**2 wrt f.
-131160*f + 69012
What is the second derivative of -62345940*r**3 - 3*r - 4232895 wrt r?
-374075640*r
Find the third derivative of t**4*z - 9200204*t**3*z + 15*t**2*z + 74*t**2 - t*z + 46*z wrt t.
24*t*z - 55201224*z
Find the first derivative of 4*o**2*s + 2*o**2 - 13195*o*s**2 - 6*o - 6*s**2 + 344708*s wrt o.
8*o*s + 4*o - 13195*s**2 - 6
What is the third derivative of 5955254*i**3 - 3631058*i**2 wrt i?
35731524
Differentiate 28140226*u**2 - 7612598.
56280452*u
What is the third derivative of 137*u*v**3 - 70*u*v**2 - u*v - 3*u - 23921*v**3 - 14*v**2 - 7*v wrt v?
822*u - 143526
What is the third derivative of -2*r**2*u**3 - 531365*r**2 - 3656970*r*u**3 + r*u**2 + u**2 wrt u?
-12*r**2 - 21941820*r
What is the second derivative of 115261*m**3 - 159*m**2 - 167093*m - 29 wrt m?
691566*m - 318
Find the third derivative of 15857957*m**5*n - 2871*m**2*n + 1408*m**2 wrt m.
951477420*m**2*n
What is the derivative of 41*m**2 - 123767*m - 16241536?
82*m - 123767
What is the second derivative of 3887680*f**4 - 14332808*f?
46652160*f**2
Find the third derivative of -125924995*c**4 - 30*c**2 + 410*c + 90 wrt c.
-3022199880*c
What is the first derivative of -1484*a*m**2*y - 76*a*m + 22*a*y + 2*a + 262*m**2*y + 53755*y + 1 wrt m?
-2968*a*m*y - 76*a + 524*m*y
Differentiate 147*n**3 + 34307*n**2 + 1898888 wrt n.
441*n**2 + 68614*n
Differentiate 2*f**3 + 28*f**2*j - 439*f*j - 20*f + 480808*j wrt f.
6*f**2 + 56*f*j - 439*j - 20
Find the third derivative of 1248690227*w**5 - w**2 + 53*w + 1919748 wrt w.
74921413620*w**2
What is the first derivative of -24516782*j + 24397389?
-24516782
Find the third derivative of 13*b**3*u**2 + b**3*u + 500380*b**3 - 144*b**2*u**2 + 4277*b**2*u wrt b.
78*u**2 + 6*u + 3002280
Find the first derivative of -244932495*p + 153179897 wrt p.
-244932495
What is the second derivative of 15246816*u**2 - 17002902*u?
30493632
What is the derivative of -370628*l**2 - 181*l + 19359923 wrt l?
-741256*l - 181
Differentiate -630*n*o*u - 64*n*o - 102*n*u + 169*n - 18*o - 2 wrt o.
-630*n*u - 64*n - 18
Find the first derivative of 153*k**3*r - 4*k**3 + 477*k**2*r + 31*k**2 + 197*k - 7 wrt r.
153*k**3 + 477*k**2
What is the second derivative of -10471*o**3 + 3169935*o + 1 wrt o?
-62826*o
What is the third derivative of 391640*t**3 + 8*t**2 - 3*t - 12429?
2349840
What is the third derivative of 70*i*m**3*y - 457*i*m**3 + 6338*i*m**2*y**2 + i*m - 696*m**3*y**2 - 46*m**2*y**2 + m**2 + y**2 wrt m?
420*i*y - 2742*i - 4176*y**2
What is the third derivative of 111062365*n**4 - 174442397*n**2?
2665496760*n
What is the first derivative o | {
"pile_set_name": "DM Mathematics"
} |
l (d) 0.3
d
Let t = -0.5 - -0.1. Let l = -32 - -32.4. Let p = -156/7 + 155/7. Which is the closest to p? (a) 0 (b) t (c) l
a
Suppose -5*h - 4*c = 25, -5*h + 5*c + 14 + 6 = 0. What is the closest to h in -0.1, -2/5, 78?
-2/5
Let t be 10/(-160)*-8*(-36 - -36). Let r = -1 - -2. Suppose 45 = -5*i - 5*a, -2*a = 4*i + 25 + r. What is the closest to t in -5, -1.5, i?
-1.5
Let f = -17009/51045 + -2/17015. What is the nearest to 0.1 in f, 1413, -5?
f
Suppose 5*f + 5 = -0. Let i = -11629 + 11629. Let z = 2 + -12. What is the closest to i in -3, z, f?
f
Let t = 3.473 + -4.463. What is the closest to t in -0.5, -5, -0.3?
-0.5
Let z = 4185 - 4177. What is the closest to z in -0.2, 0.5, -46, -3?
0.5
Let b = 324 - 304.4. Let d = b - 16.6. Let j = -2.9 - -2.5. What is the closest to j in 4, d, -3?
-3
Let v = 20855/3 - 145997/21. Suppose -y - 5*q = -2*q + 11, 0 = -2*y + q - 1. Which is the closest to y? (a) -4 (b) -1 (c) v
b
Let q = -4.416 + 6.416. Which is the closest to -1/3? (a) -0.1 (b) 0.4 (c) q (d) -6/13
d
Let l = -17.43 - -0.43. Let q = 9673/24 - 3225/8. What is the closest to -0.3 in l, 0.1, q?
q
Let r = -591/10 + 198/5. Let b = r + 19. Let i = 7 - 2. What is the nearest to b in 8, 1/2, i?
1/2
Let s = -6 + 6. Let u = s - 0. Let i(c) = c**3 - 26*c**2 - 51*c - 137. Let b be i(28). What is the closest to u in 5, 1/6, b?
1/6
Let c = 2846 + -2846. Suppose 5*p + 11 + 25 = 4*s, -p = -5*s + 24. What is the closest to c in 0, p, 8?
0
Let y = -68358 + 68363. Let t = -0.2 + 0.2. Which is the nearest to -2/3? (a) y (b) t (c) -5 (d) 3
b
Let w = 42.1 + -42. Let m = -27 - -27.19. Let v = -1.38 - -0.88. Which is the nearest to w? (a) -1 (b) m (c) v
b
Let h = -112 - -112.5. Let l = 6475.003 - 6472. Let k = l + -0.003. Which is the closest to 0.04? (a) h (b) k (c) 5
a
Let z = -12092 + 12096. Which is the nearest to 19/11? (a) z (b) 1 (c) -3
b
Let z = 1587 + -1585. What is the closest to 4/7 in 0.2, -0.1, z, -1/2?
0.2
Let p be 137/(-14) - -7 - (-28)/98. Which is the nearest to -4? (a) -0.4 (b) 0.068 (c) p
c
Suppose 119*l - 928 = 44*l - 41*l. Suppose 0 = -q - 4*q + 5. Which is the closest to 10? (a) l (b) -3 (c) q
a
Let m = 61816/133 - 5552/19. Let q = 172 - m. Let n = -14.7 - -15. Which is the closest to -6? (a) q (b) n (c) 4
a
Suppose -3*d - 2*n = -0*n - 1614, 2*n = 2*d - 1086. Suppose 0*s + 4*s + d = 0. Let k be 15/s*(-2)/1. Which is the nearest to -1? (a) 1/5 (b) -0.5 (c) k
b
Let m = 162.3 - 162.4. Which is the nearest to m? (a) -14 (b) -24 (c) 0.5
c
Let w = 3.473 + -3.473. What is the nearest to -200 in -5, w, -1/5?
-5
Let d = 7.3 + -7. Suppose 39 = -14*c + 67. Let s = c - 4/3. What is the closest to s in 7, 0.1, d?
d
Let y be (28/(-21))/((-10)/(-20)) + (-16)/(-24). What is the nearest to y in 0.14, 4, 2/7?
0.14
Let h = -32936 - -32938. What is the nearest to -3 in 0, 8, 2/5, h?
0
Let h = 0.9713 - 0.5713. What is the nearest to 1.18 in -2, h, 3, 2?
h
Let x(t) = 121*t**2 - 24*t - 41. Let h be x(-2). What is the closest to 2/7 in 1/4, h, -1/6, 0.3?
0.3
Let k be 3 + 0 + 118 + -1. Let c = k - 1792/15. Let j = c - 26/105. What is the nearest to j in -4, 5, -0.5?
-0.5
Let u = 2 - 6. Let n = u + 4.5. Let f be (-2982)/497*(-2)/12. Which is the closest to -1/3? (a) f (b) n (c) 4
b
Let y = -653.73 + 653.5. Suppose 2*s - 4*o = 6*s - 12, s = -4*o + 12. Which is the closest to -2/7? (a) y (b) s (c) 1
a
Let h = 33.87 + -34. Let q = h - -0.23. Let v = -172 + 169. Which is the nearest to q? (a) 0.1 (b) v (c) 3
a
Let o(r) = -r**2 - 111*r - 224. Let n be o(-2). Which is the closest to n? (a) -0.272 (b) 1 (c) 0.4 (d) -2
d
Let l be 59 + -61 + (-14)/(1/((-3)/18)). What is the closest to l in -3, -2/5, 58?
-2/5
Let n(m) = m**2 + 4*m + 1. Let x be n(-3). Let k = -1 - x. Let t = -1232.6 + 1232.7. Which is the nearest to k? (a) -2 (b) -3/7 (c) t
c
Let k = 26861 + -26859. Let h = 0.2 + 0.2. Which is the nearest to -3/5? (a) h (b) k (c) 4
a
Let b = 0.2 + 0.8. Let j = -290.709 - -299.709. What is the closest to b in 5, -2/5, j?
-2/5
Let d = 15885 + -15881. Which is the nearest to 1? (a) 67 (b) 7 (c) d
c
Let m = -22846 + 22845.8. Let k = 2 + -9. Which is the nearest to m? (a) 4 (b) -0.1 (c) k (d) 2
b
Let n = -56 + 56.135. Let y = 0.135 - n. Which is the nearest to -1? (a) -0.1 (b) y (c) 2/35
a
Let g = -6 - -6.3. Let p = -94001/12 + 46999/6. Which is the closest to 1/2? (a) 1 (b) -4 (c) p (d) g
d
Let p = -821/9 + 18874/207. Let l = 1 + -2. What is the nearest to p in l, -0.3, 1?
-0.3
Let z = 2 - 6. Let s = -1801.5 - -1801.486. Which is the closest to s? (a) z (b) -3 (c) 1/8
c
Let m = 32375/9 - 3597. Which is the nearest to -13? (a) 24 (b) -0.1 (c) m
b
Let z = -3912 + 3902. Which is the closest to 5? (a) z (b) -1/5 (c) -3
b
Let r = 1212.3 + -1213. Let w = 29/2 + -15. Which is the closest to 2/7? (a) w (b) r (c) 2
a
Let t = -2/167 - -340/501. Suppose -3*u = -0*h - 2*h + 22, 3*u - h = -17. Let f be (u/(-57))/((-4)/(-6)). Which is the nearest to f? (a) 1/4 (b) t (c) 1
a
Let p be 22/(-30) + 4/10. Suppose z = 4*x + 300, 110*x = -z + 112*x + 304. Let n = -306 + z. What is the closest to n in -2/3, -0.2, p?
-0.2
Let o = -173.64 + 173.66. What is the nearest to -0.2 in o, -5, -0.4, -16?
-0.4
Let p = -95 + 98. Let u = 2.52 - -1.14. Let h = u + -3.7. What is the nearest to h in -4, p, 2/5?
2/5
Let c = 0.5816 + -0.3816. What is the nearest to 1/4 in c, -2/9, 3/5, 1/11?
c
Let v = 3862 + -7725/2. Which is the nearest to 2/9? (a) 5 (b) v (c) -0.2 (d) -0.1
d
Let i(l) = l**3 - l**2 - 2*l + 3. Let a be i(2). Suppose 0 = 11*b + b - 48. Let j be (10 - 4)/(0 - 30/b). What is the nearest to j in a, 0.5, 1?
0.5
Let q = 3.2027 - 1.2027. Which is the nearest to -1/4? (a) 3/2 (b) q (c) -0.03 (d) 1
c
Suppose -2*g + 3*y + 17 = 0, -13 = 2*g + 5*y - 2*y. Let j = -89/2790 - -277/1395. Which is the closest to -6? (a) g (b) -3 (c) j
b
Let p = 0.042 - -0.058. Let h be (-1272)/1113*2/8. Which is the nearest to h? (a) 2 (b) 0.032 (c) p
b
Let k = 14.07 + -14.07. Which is the nearest to -2/9? (a) 2/7 (b) 0.2 (c) k (d) 2
c
Let l = 7.969 - 8.469. What is the nearest to 0.4 in 2/87, -4, 0.1, l?
0.1
Let v = 341.355 + 7.645. Which is the nearest to -0.2? (a) 1/3 (b) -0.1 (c) -1 (d) v
b
Let q = 4300 - 4297. Which is the closest to 2/5? (a) -59/2 (b) 0.4 (c) 4/7 (d) q
b
Let m = -628.9 + 969.9. What is the nearest to -2 in -0.4, m, -2, 0.5?
-2
Let l(h) = 2*h - 2 - 1 + 16 + h. Let v be l(-4). Which is the closest to v? (a) -3/4 (b) 1/3 (c) 45
b
Let v be ((-1268)/(-126))/((-627)/18). Let r = v - -2/627. Which is the closest to r? (a) -0.2 (b) 15 (c) 2/21
a
Let t = -685 - -685.5. What is the closest to -4/13 in 14/5, -0.09, t?
-0.09
Let w(f) = 11*f**2 - 104*f - 63. Let g be w(10). What is the nearest to 9.05 in 1/5, -4, g?
1/5
Let d = 8179415/39729 - -5/2337. Let l = d + -206. Which is the nearest to -1/4? (a) 11 (b) -0.2 (c) l
b
Let q = 18284.1 - 18284. What is the nearest to q in -17, 3/5, -4, 0.1?
0.1
Let i = 3.007 + -0.007. What is the closest to -3 in -1/40, -0.5, i, -4?
-4
Let f = 171/22 - 1065/154. Which is the closest to 2? (a) 5/22 (b) 1 (c) 4 (d) f
b
Let p = -11 - -1. Suppose -282*n + 466 = 184. What is the nearest to 0 in n, 5, p?
n
Let h be 39/(-102) - (2 - ((-88)/16 + 8)). What is the closest to -441 in 1/6, h, -2?
-2
Suppose -q = 2*q - 2*s - 6, -2*s = 5*q - 26. Let d be (4 - 1)/((-78)/q). Which is the nearest to -1/2? (a) 0.1 (b) d (c) 0
b
Let b = 1 + -2.4. Let s = b + -1.6. Let r = -3747.9 - -3748. What is the nearest to r in s, 2, 3?
2
Let k = -4127 + 4122. What is the nearest to -0.2 in -2, k, 0, 3?
0
Let u = -5283.1 - -5283. Let d = -41.9 + 42. Which is the closest to 91? (a) -0.5 (b) u (c) d
c
Suppose -8 = 11*c - 9*c. Let i be (-64)/(-30) - (-2 - c). Let m be -1 + 12/18 + 0 - 16/(-3). What is the nearest to 2 in i, m, -3?
i
Let f = -14435.1 + 14435. Let q = -0.3 + 0.8. Let j = 0.1 - 0.2. Which is the nearest to f? (a) -7/4 (b) j (c) q
b
Let o = 3 - 4. Let q = 0.1458 + -0.0458. Suppose 4 = -4*m, 5*m = x + 2*x + 4. Which is the nearest to o? (a) -3/2 (b) q (c) x
a
Let r = 301 + -301. Suppose r = 2*k + 4*v + 18, 28*k + 2*v = 30*k - 6. Which is the closest to k? (a) 5 (b) 7 (c) 0
c
Let | {
"pile_set_name": "DM Mathematics"
} |
nteger?
-9
Round 168053000 to the nearest 1000000.
168000000
Round 235749.6 to the nearest ten thousand.
240000
Round -37.42889 to 0 decimal places.
-37
Round 1674000 to the nearest 100000.
1700000
What is -1124.14 rounded to the nearest one hundred?
-1100
What is 68.829391 rounded to zero decimal places?
69
Round -0.0446197 to two decimal places.
-0.04
Round -0.0004194423 to 4 dps.
-0.0004
What is 11.64337 rounded to 1 decimal place?
11.6
What is 31.946175 rounded to one dp?
31.9
Round 7.58744 to 0 decimal places.
8
Round 483576.8 to the nearest 100000.
500000
What is 21211520 rounded to the nearest 100000?
21200000
What is 0.000002849744 rounded to 7 decimal places?
0.0000028
Round 23533.33 to the nearest one hundred.
23500
What is 4558702 rounded to the nearest one thousand?
4559000
Round -28431.3 to the nearest 1000.
-28000
Round -0.00619619 to three dps.
-0.006
Round 104768100 to the nearest 1000000.
105000000
What is 0.0306715 rounded to 3 decimal places?
0.031
What is -0.9792039 rounded to three dps?
-0.979
Round -5716800 to the nearest one hundred thousand.
-5700000
Round -3827489.6 to the nearest one thousand.
-3827000
Round -26972.35 to the nearest ten thousand.
-30000
What is -0.00352384 rounded to four decimal places?
-0.0035
Round -257.8022 to the nearest integer.
-258
Round 59311000 to the nearest 100000.
59300000
Round -5807232 to the nearest 100000.
-5800000
What is -0.0000053029 rounded to 7 decimal places?
-0.0000053
What is -0.0000384946 rounded to 6 dps?
-0.000038
Round -13.303 to 0 decimal places.
-13
What is 16682.36 rounded to the nearest ten thousand?
20000
What is -11.55566 rounded to zero dps?
-12
Round -0.30318405 to 3 decimal places.
-0.303
Round -147320930 to the nearest one hundred thousand.
-147300000
Round -6.1822749 to 0 decimal places.
-6
Round -0.0045529909 to 3 dps.
-0.005
Round -0.000000185749 to seven dps.
-0.0000002
What is 0.000662865 rounded to four decimal places?
0.0007
What is 19558.22 rounded to the nearest 1000?
20000
What is -0.005618819 rounded to 5 decimal places?
-0.00562
Round -29158.98 to the nearest 10.
-29160
What is 0.347261 rounded to two decimal places?
0.35
Round 0.00005822488 to 7 dps.
0.0000582
What is 0.000262705 rounded to 4 decimal places?
0.0003
Round -0.03031139 to 3 dps.
-0.03
Round -0.007965669 to four dps.
-0.008
Round 1608.2046 to the nearest 100.
1600
Round -0.00000116613 to 5 decimal places.
0
Round 1.0871812 to the nearest integer.
1
Round -4328.336 to zero dps.
-4328
What is -6488275 rounded to the nearest one hundred thousand?
-6500000
Round -83692 to the nearest ten thousand.
-80000
What is -0.03206 rounded to two dps?
-0.03
Round -30676.8 to the nearest one hundred.
-30700
What is -10177.8 rounded to the nearest one thousand?
-10000
What is 416341 rounded to the nearest one hundred thousand?
400000
Round -0.0021148073 to five decimal places.
-0.00211
What is 7.475677 rounded to 1 decimal place?
7.5
What is 0.065727 rounded to four decimal places?
0.0657
Round 0.7628685 to three dps.
0.763
What is -11116750 rounded to the nearest one hundred thousand?
-11100000
What is 0.16474 rounded to two decimal places?
0.16
What is 15162966 rounded to the nearest 100000?
15200000
What is 0.00004552426 rounded to 7 dps?
0.0000455
What is -0.03637124 rounded to two decimal places?
-0.04
What is -0.94445 rounded to one decimal place?
-0.9
What is -62705600 rounded to the nearest one million?
-63000000
Round -0.000713089 to 5 dps.
-0.00071
What is -91805.87 rounded to the nearest 10?
-91810
Round 0.3559721 to one dp.
0.4
What is -317489000 rounded to the nearest 1000000?
-317000000
What is 9909.8 rounded to the nearest ten thousand?
10000
Round 85045700 to the nearest 1000000.
85000000
Round 0.000002349931 to seven dps.
0.0000023
What is -3.3182 rounded to 2 dps?
-3.32
Round 151700300 to the nearest 100000.
151700000
Round -845510.7 to the nearest one hundred.
-845500
Round -328682 to the nearest one hundred thousand.
-300000
What is -0.000009718553 rounded to seven decimal places?
-0.0000097
Round -0.0000009685537 to 7 dps.
-0.000001
Round 125.9089 to the nearest integer.
126
Round -1.162683 to one decimal place.
-1.2
What is -52617910 rounded to the nearest one million?
-53000000
What is 310451.4 rounded to the nearest one thousand?
310000
Round 4194.216 to the nearest integer.
4194
What is 0.0051306858 rounded to 4 dps?
0.0051
What is 5411.17 rounded to the nearest ten?
5410
What is 1.76258 rounded to one decimal place?
1.8
What is -10.81252 rounded to 1 decimal place?
-10.8
What is -51117.77 rounded to the nearest 10000?
-50000
Round -2285346 to the nearest one thousand.
-2285000
What is 1.299009 rounded to two decimal places?
1.3
What is 203.359 rounded to the nearest ten?
200
What is -926.173 rounded to the nearest 10?
-930
What is 91843.4 rounded to the nearest one thousand?
92000
What is -0.002571184 rounded to 6 dps?
-0.002571
Round 0.000005179163 to 6 dps.
0.000005
What is -0.002911586 rounded to 4 dps?
-0.0029
Round 0.0000221621 to 7 dps.
0.0000222
Round 0.00003077399 to 6 decimal places.
0.000031
What is -0.002097063 rounded to six decimal places?
-0.002097
What is 0.36336 rounded to zero decimal places?
0
What is 2897.4211 rounded to the nearest one hundred?
2900
Round -8893.783 to the nearest one hundred.
-8900
What is 2047465 rounded to the nearest one thousand?
2047000
What is -106.21465 rounded to the nearest ten?
-110
Round -135737.21 to the nearest one thousand.
-136000
Round -0.0000120649 to seven dps.
-0.0000121
Round -2.14728 to 1 dp.
-2.1
Round 201.611 to the nearest 100.
200
What is 0.64697009 rounded to four dps?
0.647
Round 471750 to the nearest 10000.
470000
What is -19169.168 rounded to the nearest 10?
-19170
What is 20.19514 rounded to 1 decimal place?
20.2
Round -0.00000610301 to six dps.
-0.000006
Round -0.00004653588 to 7 decimal places.
-0.0000465
Round -9104470 to the nearest 10000.
-9100000
Round 64522 to the nearest ten thousand.
60000
Round 0.010323826 to six decimal places.
0.010324
What is 3.96198 rounded to 0 decimal places?
4
What is -0.000000436063 rounded to 7 decimal places?
-0.0000004
What is -0.000056954 rounded to 6 dps?
-0.000057
What is -0.0000012038 rounded to 6 decimal places?
-0.000001
Round -0.0000496258 to 5 decimal places.
-0.00005
Round -1351115000 to the nearest one million.
-1351000000
What is 48.3498 rounded to the nearest 10?
50
Round -4835.751 to the nearest 1000.
-5000
What is -38599320 rounded to the nearest 100000?
-38600000
What is 0.52876 rounded to 1 decimal place?
0.5
Round 159858 to the nearest ten thousand.
160000
Round -183560 to the nearest one hundred thousand.
-200000
What is -3253.677 rounded to the nearest integer?
-3254
What is -0.002457 rounded to five decimal places?
-0.00246
Round -0.0570883 to 3 decimal places.
-0.057
What is 0.000000511935 rounded to 7 dps?
0.0000005
Round -0.0000217487 to 6 dps.
-0.000022
What is -171722200 rounded to the nearest 1000000?
-172000000
What is -0.02186359 rounded to 2 dps?
-0.02
What is 0.0532011 rounded to four dps?
0.0532
What is 0.70626 rounded to three dps?
0.706
Round 709421.3 to the nearest 1000.
709000
What is -14941.32 rounded to the nearest 1000?
-15000
What is -15.9734 rounded to the nearest integer?
-16
Round -0.051857 to 3 dps.
-0.052
What is 141851470 rounded to the nearest 100000?
141900000
What is -217.903 rounded to 0 dps?
-218
What is -2218966 rounded to the nearest 100000?
-2200000
What is -0.00002293713 rounded to five dps?
-0.00002
What is -24.31142 rounded to 1 decimal place?
-24.3
What is 0.0001023265 rounded to 5 decimal places?
0.0001
Round 0.000942467 to 4 decimal places.
0.0009
What is -0.004310909 rounded to 5 decimal places?
-0.00431
Round -3246180 to the nearest one hundred thousand.
-3200000
Round -154596.46 to the nearest 10000.
-150000
What is -0.0008045512 rounded to four decimal places?
-0.0008
What is 0.00896809 rounded to 3 dps?
0.009
Round 146456600 to the nearest 1000000.
146000000
Round -0.0617318 to three decimal places.
-0.062
What is -6908.71 rounded to the nearest one hundred?
-6900
What is 1554607 rounded to the nearest 10000?
1550000
What is 24862800 rounded to the nearest 1000000?
25000000
Round -23.74241 to the nearest one | {
"pile_set_name": "DM Mathematics"
} |
rder.
2, 0, -3024
Sort 2/7, 0.024, 2/75.
0.024, 2/75, 2/7
Sort 4/7, -0.1, -0.11, 1.
-0.11, -0.1, 4/7, 1
Sort 5, -2, -1, -3.
-3, -2, -1, 5
Put -19, -3, 5, 3, 1 in decreasing order.
5, 3, 1, -3, -19
Sort -4/41, 0, 1/3.
-4/41, 0, 1/3
Sort -0.8, 43/5, -0.04 in increasing order.
-0.8, -0.04, 43/5
Put 2/165, 6/31, 1/8 in descending order.
6/31, 1/8, 2/165
Sort -82, 4, 0.3, -0.2 in ascending order.
-82, -0.2, 0.3, 4
Put 1, -4, -1, -14 in descending order.
1, -1, -4, -14
Put -2/9, 4/53, 0.5, -0.3, -3 in decreasing order.
0.5, 4/53, -2/9, -0.3, -3
Sort 0, 3/4, 4, 92.
0, 3/4, 4, 92
Put -3, -2, -21, -1, 4 in descending order.
4, -1, -2, -3, -21
Sort 4, 10, -0.93 in descending order.
10, 4, -0.93
Put -3/2, -0.1, -3, 1/4, -225 in descending order.
1/4, -0.1, -3/2, -3, -225
Put 4, 0, -5.3, -1/3 in ascending order.
-5.3, -1/3, 0, 4
Put 0.77, 128, 1/10 in descending order.
128, 0.77, 1/10
Sort -151, 3, 5 in ascending order.
-151, 3, 5
Sort -8, -4, 1/3, 0.5 in descending order.
0.5, 1/3, -4, -8
Put -1/2, -1, 5 in ascending order.
-1, -1/2, 5
Sort 3, -20, -3, 1.
-20, -3, 1, 3
Put 3/4, 1/5, 2/5, -68/9 in increasing order.
-68/9, 1/5, 2/5, 3/4
Put -1, 4, -8, 5, -2 in descending order.
5, 4, -1, -2, -8
Sort -47, 14, -3, -5.
-47, -5, -3, 14
Put -4/9, 0.4, -3/4, 5.9 in increasing order.
-3/4, -4/9, 0.4, 5.9
Put 0, 5, 68, 31, -2 in decreasing order.
68, 31, 5, 0, -2
Put 68, 2, -5, 0.3, -17 in decreasing order.
68, 2, 0.3, -5, -17
Put 1, -29, 78 in descending order.
78, 1, -29
Put -15, 79, 2, -2 in ascending order.
-15, -2, 2, 79
Put -41, 2, 5 in increasing order.
-41, 2, 5
Put -3, 69, 3, 0 in ascending order.
-3, 0, 3, 69
Sort -6, -2, -3, 5 in decreasing order.
5, -2, -3, -6
Sort -5, 0, -8/7 in ascending order.
-5, -8/7, 0
Sort 7, 53, -5/3, -2/15 in descending order.
53, 7, -2/15, -5/3
Put 0, -4, 201 in decreasing order.
201, 0, -4
Put 1, -5, -4, 5 in decreasing order.
5, 1, -4, -5
Sort 1/8, -4/9, -0.011 in descending order.
1/8, -0.011, -4/9
Put 5, -1, 4, -2, -171 in descending order.
5, 4, -1, -2, -171
Put 2, 8, -5 in descending order.
8, 2, -5
Put -3, -2012, 4, -0.4 in descending order.
4, -0.4, -3, -2012
Sort -3, 5/98, 0.2.
-3, 5/98, 0.2
Sort 13, 2, 10 in descending order.
13, 10, 2
Put 4.298, -4, 0.2 in descending order.
4.298, 0.2, -4
Sort 4.8, -4, 2/7, -1, 3 in ascending order.
-4, -1, 2/7, 3, 4.8
Sort 8, 2, -5, -2.
-5, -2, 2, 8
Put -5, 508, 1 in ascending order.
-5, 1, 508
Sort -60, -4, 0, -18, -3.
-60, -18, -4, -3, 0
Put -1/10, 1989/4, -2, 0.2 in ascending order.
-2, -1/10, 0.2, 1989/4
Sort 0.2, 2/31, -42, -1/2, 4 in decreasing order.
4, 0.2, 2/31, -1/2, -42
Put 10, -2, 226 in descending order.
226, 10, -2
Sort 2, -0.3, -3/7, 51.
-3/7, -0.3, 2, 51
Sort 1/6, -0.5, 6/523.
-0.5, 6/523, 1/6
Put 1.5, -1, 3, 2 in descending order.
3, 2, 1.5, -1
Sort -6, 7, -11 in descending order.
7, -6, -11
Sort 0.03, -3, 1.1 in decreasing order.
1.1, 0.03, -3
Sort 2, 2/3, -4 in ascending order.
-4, 2/3, 2
Sort -1/9, -2/13, 0.5, -1/20 in descending order.
0.5, -1/20, -1/9, -2/13
Put -4, 6, -3, 2 in descending order.
6, 2, -3, -4
Put -4, 4, -1, -93 in decreasing order.
4, -1, -4, -93
Sort 0.08, -1/4, -0.4 in ascending order.
-0.4, -1/4, 0.08
Sort 3, 16, 0, -2, 5.
-2, 0, 3, 5, 16
Put 11, 1, -3, 0.2, 0 in increasing order.
-3, 0, 0.2, 1, 11
Sort 0, 1, 5, 2 in decreasing order.
5, 2, 1, 0
Sort 1, -196, -3 in ascending order.
-196, -3, 1
Sort 2, 1760, 3, 5 in descending order.
1760, 5, 3, 2
Put 7/6, 2/331, -2/19 in decreasing order.
7/6, 2/331, -2/19
Put 1, -7, -5, 8, -2 in ascending order.
-7, -5, -2, 1, 8
Sort 4, -3, 0, 33, -1 in decreasing order.
33, 4, 0, -1, -3
Put 0, 3, 4, 5 in increasing order.
0, 3, 4, 5
Sort -1/8, -0.1, 5, -5 in descending order.
5, -0.1, -1/8, -5
Put 4, -25/3, -2, 0.1, 1 in descending order.
4, 1, 0.1, -2, -25/3
Sort 140, -1, 2.4 in ascending order.
-1, 2.4, 140
Put -2, 5, 4, 1 in descending order.
5, 4, 1, -2
Put -97, -1, 4, 9 in ascending order.
-97, -1, 4, 9
Sort -14, -12, 5 in increasing order.
-14, -12, 5
Put 0, 0.9, 5, 6/61 in decreasing order.
5, 0.9, 6/61, 0
Sort 0.8, 3, -1.5 in increasing order.
-1.5, 0.8, 3
Put -5, 4, 3, -21 in ascending order.
-21, -5, 3, 4
Put 2, -2, 0 in decreasing order.
2, 0, -2
Sort 1, -5, 9, -14, 4 in ascending order.
-14, -5, 1, 4, 9
Sort -0.2, -0.1, 2/39, 4, 1.2 in descending order.
4, 1.2, 2/39, -0.1, -0.2
Sort -6, 169, -1.
-6, -1, 169
Sort 8, 5, -1, 0, 58 in descending order.
58, 8, 5, 0, -1
Sort 6, -1, -2/7, -0.1.
-1, -2/7, -0.1, 6
Sort -5, 5, 521 in ascending order.
-5, 5, 521
Sort -0.4, -0.02, -1, -0.08, 1 in decreasing order.
1, -0.02, -0.08, -0.4, -1
Sort -1/6, -33, -2/19, 1/5 in descending order.
1/5, -2/19, -1/6, -33
Sort -2, 5, -0.4, 54, -0.2 in increasing order.
-2, -0.4, -0.2, 5, 54
Put 0, 0.8, -0.5, -3 in decreasing order.
0.8, 0, -0.5, -3
Put -1, 21, 2 in descending order.
21, 2, -1
Put -27/5, 2, 35, -0.4 in decreasing order.
35, 2, -0.4, -27/5
Put -3/7, -2, -31, 0.2 in increasing order.
-31, -2, -3/7, 0.2
Put 14, -2, -14 in descending order.
14, -2, -14
Put 0.4, 2, 2/69, -1 in descending order.
2, 0.4, 2/69, -1
Sort -13, -4, -269 in ascending order.
-269, -13, -4
Sort 2/7, -125/2, 5.
-125/2, 2/7, 5
Sort -2, 3, -73, -3, -5 in increasing order.
-73, -5, -3, -2, 3
Sort -1/7, 53, 3/7, -2/17, 0 in ascending order.
-1/7, -2/17, 0, 3/7, 53
Sort 3/2, -0.05, -2/7, -2/5, 3.
-2/5, -2/7, -0.05, 3/2, 3
Sort 1/2, 0.3, -7/13, -0.5 in ascending order.
-7/13, -0.5, 0.3, 1/2
Sort 0.3, -30, 0, 1/4 in descending order.
0.3, 1/4, 0, -30
Put -42, 4.5, -5, -0.3 in decreasing order.
4.5, -0.3, -5, -42
Put -7, 1, -1, -3 in descending order.
1, -1, -3, -7
Put 33, 0, -1/3 in decreasing order.
33, 0, -1/3
Put 9, -2, 37, -4 in decreasing order.
37, 9, -2, -4
Put -4, -23, 0, -8 in decreasing order.
0, -4, -8, -23
Sort -1/2, -3, -1 in decreasing order.
-1/2, -1, -3
Sort -0.9, -1, -7/43 in decreasing order.
-7/43, -0.9, -1
Put -1, -76, 6, 0 in decreasing order.
6, 0, -1, -76
Sort 0.05, 0.73, 5, -0.5, -1 in decreasing order.
5, 0.73, 0.05, -0.5, -1
Sort 6, -14, 2, -3, -5.
-14, -5, -3, 2, 6
Put -1, 3, 5, -4, -158 in ascending order.
-158, -4, -1, 3, 5
Put 55, 4, 3 in ascending order.
3, 4, 55
Sort -3, -1, -2, -53, 5 in descending order.
5, -1, -2, -3, -53
Sort -12, 1, -0.4, -1/4 in decreasing order.
1, -1/4, -0.4, -12
Put -4, -2, -912 in descending order.
-2, -4, -912
Put -5, -2, 2, -244, 4 in decreasing order.
4, 2, -2, -5, -244
Sort 9, 23, 1, -2.
-2, 1, 9, 23
Put 2, -2, 1, -5 in ascending order.
-5, -2, 1, 2
Put 4, 2, 10.1, 0.4 in ascending order.
0.4, 2, 4, 10.1
Sort 5, 4, -35 in increasing order.
-35, 4, 5
Sort -212, 4/11, -0.3 in descending order.
4/11, -0.3, -212
Sort -1, -2, 3, 4, 563 in decreasing order.
563, 4, 3, -1, -2
Sort 5, -6, -4 in ascending order.
-6, -4, 5
Put -41, -0.1, -3 in descending order.
-0.1, -3, -41
Put -2/7, 49, 4, -5 in descending order.
49, 4, -2/7, -5
Put -62, 3, -2, -4, -1 in ascending order.
-62, -4, -2, -1, 3
Put 9, -6, -5, 3, 1 in ascending order.
-6, -5, 1, 3, 9
Sort 4/5, -2, 5/6, 3, -0.13 in decreasing order.
3, 5/6, 4/5, -0.13, -2
Put -2, -9, 12 in increasing order.
-9, -2, 12
Sort 5, 39, 6 in ascending order.
5, 6, 39
Sort -2.3, -5, -5/8 in increasing order.
-5, -2.3, -5/8
Put 52, -4, 3, 0 in increasing order.
-4, 0, 3, 52
Put 2, -5, 6, -1, 17 in descending order.
17, 6, 2, -1, -5
Put 0, -10571, 4 in ascending order.
-10571, 0, 4
Sort 5, -0.5, 0.4, -0.05 in ascending order.
-0.5, -0.05, 0.4, 5
Sort 3/4, -27, -2/213 in descending order.
3/4, -2/213, -27
Sort 2, -6, -3, 0 in ascending order.
-6, -3, 0, 2
Put 5, -3, 0, 2 in decreasing order.
5, 2, 0, -3
Sort 5, -4, -348 in increasing order.
-348, -4, 5
Sort -2/13, 2/5, -27 in increasing order.
-27, -2/13, 2/5
Sort 4, 3, 1/2 in ascending order.
1/2, 3, 4
Sort 0.07, -1, -1/6, 0.06 in descending order.
0.07, 0.06, -1/6, -1
Put -2, -4, 2/3, 16 in ascending order.
-4, -2, 2/3, 16
Put -20, 0.3, -0.1 in decreasing order.
0.3, -0.1, -20
Sort 4, -47, -2 in descending order.
4, -2, -47
Put -1, 2, -7 in decreasing order.
2, -1, -7
Sort -3, -5, -1, -12 in descending order.
-1, -3, -5, -12
Put -6, 2, 5, 4 in increasing order.
-6, 2, 4, 5
Sort -88, 1, -3 in ascending order.
-88, -3, 1
Put 3, -44, -5, 4 in decreasing order.
4, 3, -5, -44
Sort -4/85, 0.4, 4 in increa | {
"pile_set_name": "DM Mathematics"
} |
= -14*p - 28. Let m be d(4). Let o = m + 87. Solve -o*z + 0*z + 14 = -g, 5*g - 25 = -4*z for z.
5
Suppose 35*n - 27 = 26*n. Solve 5*l - 5 = -5*c, -n*c - 5*l + 6 = c for c.
-1
Suppose 0*y + y = 2. Suppose -p - 2*j = -5*p + 78, -2*j + 30 = 2*p. Suppose p - 3 = 3*w. Solve -w*v + 16 = -4*q, -5*q + 3 = -v + y for q.
1
Let g be (-1)/14*6 - (-9)/21. Solve 0*x - x + 7 = 4*q, -q + 3 = g for x.
-5
Let j be (-169)/(-39) + 6/9. Solve b - 20 = j*i, 2*i = 5*b - 0*b - 31 for i.
-3
Let p(c) = -2*c**3 + 32*c**2 - 6*c + 102. Let r be p(16). Solve 18*g - z + r = 22*g, -4*z = -4*g + 16 for g.
2
Let s be 132/220 + 2/5. Solve -a - t = s, -5*a + 1 = -2*t - 1 for a.
0
Let v be (-4 + 2)/(4/(-6)). Solve 0 = o - v*b + 7, 3*o = -0*o - b + 19 for o.
5
Let s(h) = h**2 - 2*h - 135. Let o be s(13). Suppose 4 = 4*d + 3*u, -4*d - 8 = -3*d + 3*u. Solve -d*x = -5*l - o*x + 3, 3*x = 2*l + 8 for l.
-1
Suppose 20*f + 60 = 18*f. Let t be -1*(f/3)/5. Solve -l + 2*y - 3 = 0, -24 = 4*l + t*y + 2*y for l.
-5
Let w = -384 + 393. Solve -w = x - 5*j, 2*x - 2*j = -j - 9 for x.
-4
Let r be (-4)/24*-10*90/50. Solve -m + g = -9, -g - 2 + r = m for m.
5
Let p be 0/(((-6)/(-12))/(2/(-4))). Solve -16 - 4 = 3*v - 5*c, p = -v + 2*c - 8 for v.
0
Let y = 1357 + -1352. Solve -4*o + 0 = -5*d + 30, 0 = -y*o - 4*d - 17 for o.
-5
Let t = -48 - -43. Let m(s) = s**3 + 5*s**2 - 2*s - 7. Let p be m(t). Solve 5 = -o, p*j + j + o = 11 for j.
4
Let c be 2/(0 + 10/175). Let n = c + -31. Suppose -n*k - 5 = -3*w - 2, 3*k + 2*w - 2 = 0. Solve 5*o - 2*q - 3*q + 20 = k, -3*q = 0 for o.
-4
Suppose 3*q - 14 = -5. Suppose 0 = q*v - 7*v + 12. Solve z - 10 = -2*f - z, -3 = 3*f - v*z for f.
2
Let t(f) = -5*f - 2. Let q be t(-1). Suppose -q*z + 0 = -9. Solve 3*x + 8 = 2, z*x + 11 = -5*j for j.
-1
Suppose 561 = -7*v + 596. Solve -8 = -3*d + 2*z, -v*d + 3*z + 7 = 6*z for d.
2
Let n be 2/(8/12) + 16/4. Solve -4*w - 2*y - 24 = 0, 2*w + 12*y = n*y - 20 for w.
-5
Let u be (-147)/12 + 1/4. Let y = -32 - -24. Let o = y - u. Solve o*g - 3*p = 2 - 1, 1 = -2*g + 3*p for g.
1
Suppose -2*y = -3*y + 5. Let c be -1 + 3 + -1 + -12 + 0. Let m be (-4)/1 + (-99)/c. Solve q = f - 4*f - m, -35 = 5*f - y*q for f.
-3
Let z be (-2 - -1)*(1 - -1). Let i be z - (-23 + 1 + 2). Suppose 3*j - 6*j - 5*r = -30, 3*j + r = i. Solve -2*u = -a - a, 0 = 4*u + a + j for u.
-1
Suppose -2*t - f + 24 = -19, t + f = 23. Let n = t + 4. Suppose 3*l - 8 = -l. Solve l*x + n = 3*i - x, 4*i = -5*x - 4 for i.
4
Suppose -4 = -0*o - 2*o. Suppose 4*b - 56 = -b - 4*r, -o*b - 3*r + 28 = 0. Suppose 0*i = 4*i - b. Solve -5 = j + i*q, 0 = -j + q + 5 + 5 for j.
5
Suppose -2480 = 12*b - 884. Let a = 135 + b. Solve -3*r = -a*g - 4, 0 = 4*r + 2*g - 27 + 3 for r.
4
Suppose 0*j - 5*j + 5 = 0, 0 = 3*i - j - 17. Solve i = 2*u + y - 3, -20 = -4*y for u.
2
Let j(l) = l**2 + 5*l. Let q be j(-5). Suppose -38*x + 2662 = -27*x. Let y = x - 237. Solve 0 = -5*d - y*w - q*w + 40, 2*d - 3*w + 9 = 0 for d.
3
Suppose p - 2*w - 6 = -3*w, 4*w - 15 = -p. Solve 5*j - 13 = -v - 0, 3*j - p*v = 15 for j.
3
Let m(k) = 90*k**2 - 35*k**2 - 26*k**2 - 28*k**2 + 4*k + 3. Let f be m(4). Solve -5*l - f = -2*y, 20 = 4*y - 5*y - 5*l for y.
5
Suppose 3*c = -5*b + 38, -4*b - 3 = -c - 47. Suppose u + b = 5. Let r be 2/u + 12/5. Solve 3*i + 12 = -5*s, -s - i = -r*s - 4 for s.
-3
Suppose 0 = 3*w + 2*g - 116, 3*w + 3*g - 91 - 29 = 0. Solve 6*t = 8*t + 2*y + 16, -4*t = 5*y + w for t.
-4
Let z be ((-162)/216)/(3/(-20)). Solve m + 7 = 4*i, 1 = -3*i + i + z*m for i.
2
Suppose -8*m = -5*m + 4*m. Solve c - 10 = d - 3, -d + 4*c - 13 = m for d.
-5
Suppose -3*i = i + 128. Let n be (6/8)/((-4)/i). Let d(y) = -y**2 + 6*y - 5. Let k be d(5). Solve 8 + n = 3*x + 5*b, -2*x - b = k for x.
-2
Suppose 4*j + 4 = 4*q, -47*j + 42*j + 2*q = -7. Solve 0 = -2*n + f - 3, -5*n + 2*f = -j*f + 5 for n.
-2
Suppose 2*a - 78 = 13*d - 14*d, 2*d + 3*a = 153. Let m = 77 - d. Solve u = 5*s + 19, -s + 4 = -m*u + 27 for s.
-3
Let p be (0 + 3)/6*6. Suppose -7*s = -p*s - 16. Suppose -s*k + 3 = -k. Solve -2*h - 9 = k, w + h + 10 = 0 for w.
-5
Suppose 2*t - 18 = 3*c, 0 = -t - 7*c + 4*c. Suppose -2*q = h - 11, 2*q - t*h = -h + 41. Suppose -7 = -3*f + q. Solve 2*b - v - 2 = 0, 7*v = f*b + 2*v + 5 for b.
3
Let k = -59 + 53. Let d be 21/4 + k/24. Let f(v) = -3*v - 3. Let h be f(-4). Solve -q + 6*z - z = 9, -d*q + h = 2*z for q.
1
Let h = 17 - 6. Let y = -5 - -5. Suppose -3*w = 2*z - h + 2, 4*w + z - 12 = y. Solve -2*l = -j + 1, 2*l + w*l = 2*j for j.
5
Let h = 5 - -9. Suppose -w + 0*w - h = -2*p, 5*p - 5 = -5*w. Solve -2*a - 2*g - 3 = -p, a = -4*g - 5 for a.
3
Let a(y) = 5*y + 80. Let i be a(-12). Solve q = -3*q - 2*t + 8, 5*q = -5*t + i for q.
0
Let f be (-28 + 3)*4/(-10). Let c = -629 - -632. Solve -3*v - 2*n = 25, -n + f = -0*v - c*v for v.
-5
Suppose -2*d + 4*a = -5*d, -3*a = -4*d + 25. Let n = 42 + -40. Solve 3*p - 12 = n*l, d*p + 5 = 2*p - 3*l for p.
2
Suppose 21 = 4*y + 5*c, y + 0*y = 3*c + 1. Let w(s) = -s**3 + 4*s**2 + 7*s - 7. Let k be w(5). Solve 2*v - 2*d = -k*d - 12, 0 = -2*d - y for v.
-5
Suppose 39*j - 48*j = -27. Solve 5*q = 2*y + 30, -2*y + 3*y + 2*q - j = 0 for y.
-5
Let n(t) = 4*t + 18. Let u(j) = j**2 + 5*j. Let i be u(-4). Let c be n(i). Solve h + 8 = c*x - x, 5*x - 10 = -h for h.
-5
Let y(m) = -2*m**3 - 2*m**2 - 9*m - 18. Let o be y(-2). Solve -4*t = 2*x + 18, 3*t + 2 = 5*x + o for x.
-3
Suppose -18 = -c - 5*c. Solve -5*x + 2*i = -2*x + 15, 12 = -c*x + i for x.
-3
Suppose 0 = -3*n + 4*n + 36. Let m = n - -41. Solve -4 = -2*t + 2*c, -4*c - 25 = 2*t - m for t.
-2
Let q be (-3)/((-9)/2*(-5)/(-30)). Solve -3*b + 2*f - 3 = 3, q*b - 3 = -f for b.
0
Suppose z + 2*c = -2 + 7, 2*z = c + 10. Solve -4*l + 7*l = i + z, -2*l = 5*i + 8 for l.
1
Let v = 144 - 77. Suppose 39 = -4*q + v. Solve -4*x + 18 = -f, 4*x + q = 2*f + 27 for x.
4
Let l be (16 - 0)/((-6)/9). Let r be (l - -1)*(5 - 7). Suppose a = -4*n + 40, 2*n - 2*a - r + 16 = 0. Solve 7*d - 9 = 4*d, 5*d - n = b for b.
4
Suppose 51*u = 52*u - 30. Solve -11*g - u = 4*w - 6*g, 0 = w - g + 3 for w.
-5
Let o(a) = -a**2 - 16*a - 6. Let x be o(-15). Suppose x = 2*t + t. Solve -t*f + 7*f = 3*b + 26, 2*b + 9 = f for b.
-2
Suppose 2*d = -3*d + 35. Suppose 0 = -8*b + d*b. Solve b = a - 4*h, 5*a = 2*a - 4*h for a.
0
Suppose 8 = 4*s - 2*b, -4*s + 2*b - b + 8 = 0. Solve -s*q + 16 = 2*u, -u = -3*q + 8 + 4 for q.
5
Suppose -4*v + 4*f + 52 = 0, v + 0*f - 9 = -3*f. Let g(j) = j**3 + 7*j**2 + j + 9. Let n be g(-7). Solve -2*s - v = 4*q - q, -n*s - 4 = q for q.
-4
Suppose -13 = m - 0. Let y = 20 + m. Solve -r - z = y, -3*r + 4*z = -6*r - 25 for r.
-3
Let x be (4/(-3))/(4/(-6)). Let c(k) = k**3 + 4*k**2 - 22*k - 4. Let w be c(-7). Solve -t - 5*b + 28 = w*t, -5*t + 3*b = x for t.
2
Let v be ((-48)/(-9) + (-15)/5)*6. Solve f - 5*t - 12 = 0, 4*t + v = 4*f - f for f.
2
Let d = -454 - -459. Solve v = 6*v - d*q - 10, -10 = -5*v - 5*q for v.
2
Let w(q) = -2*q - 4. Let z be w(-3). Suppose -7 = -4*y - 5*k - z, -k - 18 = -3*y. Let h = y + -2. Solve 4*r = -h*a - 12, -3*a - 3*r + 4*r = -3 for a.
0
Let f be 3/7 + 7/(-98)*6. Solve f = 2*w + 2*y - 14, 3*w - 27 = -2*w - 3*y for w.
3
Suppose 3*h = 5*h + 16. Let f = h + 11. Solve 4*p = -5*r - 15, -f = -2*r - 1 for p.
-5
Suppose -4*p = -77 + 13. Solve -2*g + p = -4*w, g + w - 1 = 4*g for g.
-2
Suppose 3*c + 12 = -c. Let x be 8/(-6)*c/2. Solve 0 = g + 3*a, 6*g - 4*a = x*g for g.
0
Let d = -28 + 44. Let l = d + -10. Suppose -4*a + l*a = -2*s + 20, a = -3*s + 28. Solve -s = 4*b + 5*j, 0 = b - 2*b - 5*j - 6 for b.
-1
Let j = 1 + 5. Let p(u) = -u**3 + 8*u**2 + 8*u + 29. Let c be p(9). Suppose m + c = j*m. Solve 3*f - 3*b = f - 18, -3*f - m*b = -7 for f.
-3
Let j be (10/6 + -1)*255/34. Solve -5*l = 3*d + 40, 5*d = j*l + 4*d + 20 for l.
-5
Let i = 109 - 224. Let j = i - -115. Solve -5*o + 0*y - 3*y = 20, j = -4*y for o.
-4
Let v = 1 - 10. Let f be v/12*104/(-6). Let h be (-64)/(-10) - 2/5. Solve -h = 2*a - c, -f = 2*a - a - 3*c for a.
-1
Let m = 7 - 3. Let j(z) = 7*z - 67. Let s be j(10). Suppose -s*c + m = -c. Solve -3*o + q + 3 - 1 = 0, -c*o + 4*q - 12 = 0 for o.
2
Suppose 3*l + y = -18, 3*l - 1 = -4*y - 28. Let q be l/(20/8) + 2. Let v = 6 + -1. Solve -x - x + u + 2 = q, -v*u = -3*x + 3 for x.
1
Let j(p) = p**2 - 4*p - 1. Let z be j(3). Let f = z + 73. Let o be f/21 + (-2)/7. Solve 0 = l + | {
"pile_set_name": "DM Mathematics"
} |
2*g + 4. Let x be b(0). Suppose l + 4*y + 13 = -0*l, y - 2 = -2*l. Suppose x*q - l = 9. Is q a multiple of 3?
True
Let o = -1 - -11. Let f(m) = 5*m + 2. Does 13 divide f(o)?
True
Let n be (-25)/2 - (-3)/6. Let f(b) = -b - 23. Let g be f(n). Let a = 19 + g. Is a a multiple of 8?
True
Suppose 0 = -l + 2 + 2. Let n be 2/l - (-6)/4. Suppose 0 = -2*z - n*y + 76, 0*z + 70 = 2*z - y. Is z a multiple of 12?
True
Let o(h) = -h**2 + 11*h + 5. Let z(y) = -y. Let x(q) = o(q) - 2*z(q). Let c be x(13). Suppose -c*t - 2*r - 5 = -183, -2*t = -3*r - 56. Is t a multiple of 17?
True
Let j = -52 - -59. Suppose -j*g + 11*g - 128 = 0. Does 16 divide g?
True
Suppose -5*o - 70 = -7*o. Suppose 0 = 5*b - 130 + o. Does 13 divide b?
False
Suppose 145 = 3*u - 2. Suppose 2*k = -5*z - u, -17 = 4*z - 4*k + 11. Let g = z - -23. Is g a multiple of 7?
True
Let w = 767 - 392. Let x = w - 254. Is x a multiple of 17?
False
Suppose -1320 = x - 6*x. Suppose w = 4*s - 16 + x, -2*w = 5*s + 323. Does 22 divide (-2 - 0)/(-2) - s?
False
Let v(d) = -d**3 + 49*d**2 - 92*d + 26. Does 119 divide v(46)?
True
Suppose 4*a - 18 = -b - a, 2*a = 6. Let h(o) = 60*o + 10. Is h(b) a multiple of 38?
True
Let u = -571 - -319. Is ((-3)/6)/(9/u) a multiple of 4?
False
Let j be (1/12 + 9/(-12))*-12. Suppose j*u = 5*u + 312. Is 13 a factor of u?
True
Let r(z) = -z**3 - 8*z**2 - 7*z - 5. Let k be r(-7). Is (k - -1) + 61 + 3 a multiple of 10?
True
Let a(c) be the first derivative of 13*c**2/2 - 8. Let g be a(1). Let p = 28 - g. Does 15 divide p?
True
Suppose -5*y + 374 = -2506. Is 24 a factor of y?
True
Let y(o) = -o**3 - 17*o**2 + 26*o - 46. Is y(-19) a multiple of 14?
True
Let m = -320 - -350. Is 6 a factor of m?
True
Is (-10)/(-25) - 1/((-10)/1616) a multiple of 18?
True
Let i = -43 - -117. Let l = 79 + i. Is l a multiple of 17?
True
Let v(j) = -j**3 + 6*j**2 - 3*j - 6. Let k be v(5). Suppose -k*a - 1 + 17 = 0. Suppose -6*t + 10 = -t, a*t = -2*b + 22. Does 2 divide b?
False
Let m = 150 + 255. Suppose -m = -r - 4*r. Is r a multiple of 14?
False
Suppose -8*w + 1982 = -2354. Suppose 8*c - 98 = w. Is 20 a factor of c?
True
Let w(v) = -186*v - 110. Is 8 a factor of w(-3)?
True
Let d(k) = -90*k - 2. Let o(t) = 178*t + 4. Let f(u) = 5*d(u) + 3*o(u). Is 11 a factor of f(1)?
False
Suppose 2*u - 41 = 5*h, -h = u - 4*u + 81. Suppose 0 = -5*l + g - u, 7*l - 3*l = -2*g - 28. Does 21 divide 53 + (l - -3) + 4?
False
Let h be 7/(56/(-12)) - (-161)/2. Suppose -g + 317 = 5*l, -l + 2*g + h = -3*g. Is l a multiple of 16?
True
Let q = 1969 + -1152. Is 43 a factor of q?
True
Let w(g) be the third derivative of 0*g - 5*g**2 + 5/12*g**5 + 0 - 1/6*g**3 + 0*g**4. Does 17 divide w(-1)?
False
Let h be (147/(-14) - -6)/(1/(-2)). Suppose 0 = k + 3*s - h, 5*k - 26 = 5*s - 1. Is 4 a factor of k?
False
Let j be (-3)/(6/(-4)) + 250. Suppose 6*g - j = 2*g. Is 9 a factor of g?
True
Let v(h) = -231*h + 117. Is 12 a factor of v(-5)?
True
Let g(p) = p + p + 0*p**2 + 2 + 7*p**3 - 3*p**2. Is 25 a factor of g(2)?
True
Let d(u) = -22*u - 1. Let p be d(1). Let n = 1 - p. Suppose o - n = -7. Is o a multiple of 17?
True
Suppose 2*q - 118 = -u, -2*u + 244 = 4*q + 2*u. Does 51 divide q?
False
Let k be 10/10 + 0 + 2. Let b = 1 + k. Suppose h = -2*h - b*r + 154, -3*r = h - 48. Is 27 a factor of h?
True
Suppose 3*w + 33 = -3*g, 3*g - 6*g = 12. Let u = w + 3. Does 9 divide 24 + (-6)/8*u?
True
Is 14 a factor of (-9)/27 - (4 - 27020/15)?
False
Let k be (-13)/((0 - -4) + -3). Let w(c) = -3*c - 6. Is 4 a factor of w(k)?
False
Is 17 a factor of (-2804)/14*((-26)/4 - -3)?
False
Let q = 18 + -6. Let y be (-3)/q - 9/(-4). Suppose -4*c + 6*b - 2*b = -64, 34 = y*c - b. Does 9 divide c?
True
Suppose -g - 5*g = -444. Let u = g + -36. Is u a multiple of 38?
True
Let g(k) = -k + 8. Let o be g(0). Suppose -13 = -5*h - o. Suppose 13 = d + v, 4*v + h = d - 2. Is 3 a factor of d?
False
Let m(g) be the second derivative of g**4/12 - 11*g**2/2 + 5*g. Let n be m(-9). Suppose 2*i + 3*x - 15 = 8*x, -n = -3*i - 2*x. Does 5 divide i?
True
Suppose -3*c + 32 = -2*c. Let n = c + -20. Does 6 divide n?
True
Suppose -3*w - 5*p + p + 232 = 0, 143 = 2*w + 5*p. Does 3 divide w?
True
Suppose -4*a + 22 - 90 = 0. Let s = -2 - a. Does 3 divide s?
True
Let r be (-1 - (2 - 0)) + (12 - 5). Suppose 2*y + 128 = r*y. Does 16 divide y?
True
Let n(x) = x**3 + 9*x**2 + 5*x - 8. Let j be n(-8). Suppose 0 = -2*p - 2*p + j. Suppose o + 3*s = 20 + 9, -3*o + p*s + 113 = 0. Is 25 a factor of o?
False
Let l(s) = 136*s**2 + s - 2. Let j(a) = 272*a**2 + 3*a - 5. Let m(c) = -2*j(c) + 5*l(c). Is 15 a factor of m(1)?
True
Let p(n) = 11*n**2 - 8*n - 19. Let c(y) = -10*y**2 + 4*y + 9. Let i(f) = -f**2. Let o(b) = -c(b) + 5*i(b). Let x(l) = 9*o(l) - 4*p(l). Does 2 divide x(6)?
False
Suppose 0 = -5*a - 2*b + 9, -4 - 5 = -4*a - b. Suppose 8*u - a*u = 90. Suppose l - 2*n = u, 4*l + 2*n - 28 = -n. Is 10 a factor of l?
True
Let t be (-44)/(-10) + (-4)/10. Suppose 0 = -t*z + 46 + 98. Is z a multiple of 10?
False
Let g(d) = -49*d + 1. Let c(o) = -48*o + 1. Let l(a) = -5*c(a) + 4*g(a). Let y(t) = 44*t - 1. Let h(m) = -3*l(m) + 2*y(m). Does 15 divide h(-1)?
True
Let b(r) = r**2 - 8*r - 5. Let i be b(9). Suppose 181 = 2*c - 3*f - i, 4*c - 380 = -4*f. Is 47 a factor of c?
True
Suppose 4*u = 2*c + 26, 4*u - 14 = 3*c + 17. Suppose 0 = 3*a - 15 + 6. Suppose 3*b - 33 = -a*q, -u*q + 29 = 3*b + q. Does 3 divide b?
False
Let p(h) = -h - 1. Suppose -3*z - 15 = -3*g, 0 = -5*z + 5*g - 2*g - 23. Let b be p(z). Suppose -b*i + 2*c + 32 = 0, -i + 6*c - 3*c = 1. Is 4 a factor of i?
False
Let r(v) = 11*v**2 - v. Let k be (-2)/(-9) - 18/81. Suppose k = 2*p - 0 - 4. Is r(p) a multiple of 21?
True
Let h = -411 + 771. Is h a multiple of 15?
True
Let r = -6 + 295. Does 17 divide r?
True
Let f = 5266 + -3394. Is 48 a factor of f?
True
Suppose -5*n + x = -2462, 5*x - 15 + 0 = 0. Is 55 a factor of n?
False
Suppose -5*y + 1976 = -4*y. Is 38 a factor of y?
True
Does 50 divide (226/4)/((-28)/(-168))?
False
Suppose r + 2*q - 1956 = -82, -2*r + 3775 = -5*q. Is r a multiple of 20?
True
Suppose 0 = -2*t + r - 15, 2*t - 5*r = -14 - 21. Is 146 - (t - -6)/((-1)/(-3)) a multiple of 13?
True
Suppose -4*b + 7 = -13, 3*b - 95 = -5*t. Suppose -t + 62 = r. Is 9 a factor of r?
False
Let x(d) be the first derivative of d**3/3 - d**2/2 - 26*d + 34. Is 13 a factor of x(17)?
False
Let u be 12/(-12) + (0 - -3). Suppose -18 = 4*z + 2, -u*z + 35 = 3*h. Is h a multiple of 5?
True
Suppose 66*k + 616 = 70*k. Is k a multiple of 7?
True
Suppose 4*p - 2*p - 127 = 3*a, 3*a - 97 = -2*p. Let x = p - 46. Does 3 divide x?
False
Let d = -28 + 35. Suppose 0 = d*y - 5*y - 190. Is 19 a factor of y?
True
Suppose -1260 = -4*t + t - 3*i, 0 = 4*t - 5*i - 1716. Let k = -268 + t. Does 13 divide k?
True
Let r = 30 + -21. Let x(o) = -3*o - o + 2*o**2 + 0*o**2 + r*o + 2. Is 22 a factor of x(-6)?
True
Let a(x) be the first derivative of x**4/4 - x**3/3 - x**2 + 2. Let f be a(4). Let q = 8 + f. Is q a multiple of 24?
True
Let a = -780 - -1380. Is 60 a factor of a?
True
Let x = -14 - -8. Let q(r) = 3*r**2 - 8*r - 36. Does 60 divide q(x)?
True
Suppose -4*g + 4 = 5*p, p + 0*g = g + 8. Let k be 196 + 1/(-2)*p. Suppose -4*q + k = 30. Is q a multiple of 14?
False
Suppose 4*r - 3*j + 2*j = 8, 3*j + 2 = r. Suppose 0 = -0*m - r*m. Suppose m = -3*v - 135 + 354. Is 21 a factor of v?
False
Let z = 18 - 14. Is ((2 + 2)/z - -1) + 121 a multiple of 27?
False
Suppose -6*w = -2*w + 252. Suppose 2*z - 9 = 31. Let m = z - w. Is m a multiple of 15?
False
Let l be 0 + ((-4)/(-4) - -4). Suppose c - 71 = 5*m, 5*c - l*m - 143 - 132 = 0. Does 7 divide c?
False
Let j = 4 + -4. Suppose j = 2*w + 9 - 79. Is 19 a factor of w?
False
Suppose c + 1 - 2 = 0, -g + 4*c - 2 = 0. Suppose -3*b = -2*z + g*b, -4*z + 26 = 3*b. Is 2 + z/((-20)/(-56)) a multiple of 8?
True
Let p be (-4)/(-6)*(-60)/(-8). Suppose -4*o + p*o - 92 = -5*h, -48 = -3*h - 3*o. Does 6 divide h?
False
Suppose 0*j + 3*j = 12. Let g be (4 - 4)/j + 3. Is 15*((3 - 5) + g) a multiple of 3?
True
Let v(z) = -z**3 + 12*z**2 + 28*z - 11. Let s be v(14). Let n(b) = 2*b**2 + 16*b + 27. Is n(s) a multiple of 31?
True
Suppose 0 = 4*y - 0*m - 5*m - 2775, -5*m = -3*y + 2085. Suppose 4*s + 151 = -l + y, s - 161 = 5*l. Is 17 a factor of s?
True
Let q(d) = -d**2 + 5*d + 8. Let k b | {
"pile_set_name": "DM Mathematics"
} |
aces.
0.02
Let r = 5271923 - 5271924.5000054. Let d = 4 + -5.5. Let y = r - d. Round y to six decimal places.
-0.000005
Let j = 413.467 + -413. What is j rounded to 1 dp?
0.5
Let r(v) = -44463*v**3 + 3*v**2 - 3*v - 7. Let b be r(-5). Let w = -2914579 + b. Suppose -5*l - 22856621 = w. Round l to the nearest 1000000.
-5000000
Let o = 8671 + 40059. What is o rounded to the nearest one thousand?
49000
Suppose 2*n = -2*k, k - 5*k + 7 = -3*n. Let f be -42*202857/6 - k. What is f rounded to the nearest 100000?
-1400000
Let q = 177415748364 + -177415748384.1126799366. Let j = 0.0126928366 + q. Let z = j - -20.1. Round z to 6 dps.
0.000013
Let g be (0 - (-3 + 2))/1. Let c be -150*462/9*g. Round c to the nearest one thousand.
-8000
Let p = 42317.200004 - 42317. Let k = 0.2 - p. What is k rounded to 5 dps?
0
Let w = -68 + 8. Let u be (-15)/w - 86402/8. What is u rounded to the nearest 1000?
-11000
Let z be -2*-7667182*(-4)/(-16). Let f be (-2)/9 - 19022321/(-9). Let v = f - z. Round v to the nearest 100000.
-1700000
Let y be (2 - 0)/(4 + 37199996/(-9300000)). What is y rounded to the nearest 100000?
4700000
Let u = -782574339 + 782574448.99999975. Let d = u - 110. Round d to 7 dps.
-0.0000003
Let b = 62823186464116 - 62823180390783.6399946. Let s = b - 6073333. Let k = s - -0.64. What is k rounded to six dps?
0.000005
Let p = -2738 + 2852.1. Let d = -107 + p. What is d rounded to 0 dps?
7
Let h = 0.1647932281 + 82.8352184719. Let c = 83 - h. What is c rounded to six decimal places?
-0.000012
Let s = 2038.9 - 2298. Let w = s + 125.2. Let z = -141 - w. What is z rounded to the nearest integer?
-7
Let v = 128.119 - -0.081. What is v rounded to the nearest integer?
128
Let j = -81.802 - 1.498. Let l = -83.3409 - j. Round l to two decimal places.
-0.04
Suppose 5*g = -q, -5*g - 46 = -4*q + 4. Suppose 2*d - 5*s - 498 = -120, -5*s + q = 0. Round d to the nearest ten.
190
Let k(l) = -1496*l**2 - 3*l - 8. Let s be k(-7). Let q = s + 136691. Let a be (10/1)/(2/q). Round a to the nearest 10000.
320000
Suppose y = 3*o - 4, -2*o - y + 16 = y. Suppose o*l = c - 674230 - 825770, 0 = 3*l. What is c rounded to the nearest one hundred thousand?
1500000
Let y = 1.17294721 + 6.82704869. Let f = 8 - y. Round f to six decimal places.
0.000004
Let b = 1992 + -1026. What is b rounded to the nearest 100?
1000
Let k = -21 - -51. Let m = 37 - k. Suppose m*c = -c + 1928. What is c rounded to the nearest 10?
240
Let r = 86 + 0. Let q = r + -38. Let t = q + -47.79. Round t to one decimal place.
0.2
Let x = 170 + -172.5. Let t = x - -6.9. Round t to one decimal place.
4.4
Let y = 47.04 + -47. Let p = 8.67916 + -8.64. Let r = y - p. Round r to four dps.
0.0008
Let y = 85 - 183. Let z = -17.602739 - 80.398131. Let j = z - y. What is j rounded to four decimal places?
-0.0009
Let l = 0.058 + -0.063. Let u = 7.205 + l. Round u to the nearest integer.
7
Let x be 9/6 - (-24)/(-16). Let a be 4 + -8 - (x - 115004). Round a to the nearest 100000.
100000
Let v(z) = -z**3 - 10*z**2 - 10*z - 14. Let k be v(-9). Let b(c) = 34399*c**3 - 5*c**2. Let s be b(k). What is s rounded to the nearest one million?
-4000000
Suppose 123 = 6*m - 747. Suppose 0 = 15*j - 10*j + m. Round j to the nearest ten.
-30
Let u be 21/12 - 2/(-8). Let h be 22 + u + 10/(-2). Suppose -4*y + 3*y + h = 0. What is y rounded to the nearest ten?
20
Let s be 4/(-10) - (22/(-5) + 4). Let y(i) = 4*i + 59. Let n be y(s). Round n to the nearest 10.
60
Let x = 2730402.580009 + -2730404. Let w = 1.42 + x. What is w rounded to five dps?
0.00001
Let d = -103230 + 103205.6817. Let q = -24.3 - d. Round q to 3 decimal places.
0.018
Let n = -980 + 980.00806. Round n to four dps.
0.0081
Let y = 1.162 - 0.102. Let t = -1 + y. Let h = t + -0.0572. What is h rounded to 3 decimal places?
0.003
Let n be (4 - 0) + 6/3. Suppose 0 = 3*q + n*h - 5*h + 8099995, 0 = -5*q + 2*h - 13500010. What is q rounded to the nearest one million?
-3000000
Suppose 0 = -6*b + 7*b + 3. Let a be (4812/(-8))/(b/2). What is a rounded to the nearest 10?
400
Let q = 156.7 - 156.4938. Let p = q - 0.21. Let j = p + 0.0038223. What is j rounded to 6 decimal places?
0.000022
Let p = -2320.37 - -2338. Let x = p - -0.37. Let g = 18.000003 - x. What is g rounded to 5 dps?
0
Let g = 577 - 576.99999454. What is g rounded to six dps?
0.000005
Suppose 0 = 176*m - 188*m - 161520000. What is m rounded to the nearest one hundred thousand?
-13500000
Let z = -3117049860089.59999982 + 3117049897719. Let y = -37629.36 + z. Let j = y - 0.04. What is j rounded to seven decimal places?
0.0000002
Let r(i) = 9452*i**3 - 8*i**2 + 7*i - 8. Let y be r(-8). What is y rounded to the nearest 1000000?
-5000000
Let g = 16996.7 + -16066. Round g to the nearest one hundred.
900
Let d = 28.998334 - 29. Round d to four decimal places.
-0.0017
Let h = 0.54 - -29.46. Let k = -34.1 + h. What is k rounded to the nearest integer?
-4
Let x = -0.6149 + -311.2851. What is x rounded to the nearest 10?
-310
Suppose -g - 772 - 472 = 4*y, -5*y - 6280 = 5*g. What is g rounded to the nearest 100?
-1300
Let s be (-1 - -1)*1/3. Let j(h) = 50757*h + s + 63169*h - 2 - 425*h. Let x be j(2). What is x rounded to the nearest ten thousand?
230000
Let w = 0.47 + 0.03. Let a = 0.34391 - -0.15573. Let k = a - w. Round k to 4 dps.
-0.0004
Let r = 1601.4996 - 1601. What is r rounded to 2 decimal places?
0.5
Let c(w) = -3*w + 0*w + 11*w - 6*w + 14 + 18*w**2. Let h be c(-6). What is h rounded to the nearest 100?
700
Let z = 12.94 - -39.5. What is z rounded to the nearest integer?
52
Let y = 6 - -13. Let x = 524.55 - 543. Let c = y + x. What is c rounded to one decimal place?
0.6
Let c = 139 - 137.88. Let l = -1.066 + c. What is l rounded to 2 decimal places?
0.05
Let z = 7473.4590003 + -7472.949. Let w = z - 0.51. Round w to 7 decimal places.
0.0000003
Let y = -0.0899 + 0.05851. Round y to 4 decimal places.
-0.0314
Let z = 24.8 - 150.8. Let x = 125.99999894 + z. Round x to seven dps.
-0.0000011
Let j = 24.87 + -26. Let m = j - -2.35. Round m to 1 dp.
1.2
Let o = -36.363 - -0.063. Round o to zero dps.
-36
Let x = 292.877 - 293. Let i = -16.13 + 16. Let v = i - x. Round v to 3 decimal places.
-0.007
Suppose -h + 11 = 1. Let d be ((-6)/5)/((-2)/h). Let l be (-82800012)/18 - (-4)/d. Round l to the nearest 1000000.
-5000000
Suppose 18*y - 134042 = 13*y + 4*r, 0 = 5*y - 5*r - 134040. What is y rounded to the nearest one thousand?
27000
Let n(o) = 9*o**2 + 4*o - 5. Let s be n(1). Let g be 41001 + (s - 3 - 6). What is g rounded to the nearest 10000?
40000
Let n = 1352 - 1237.6. Round n to the nearest ten.
110
Suppose 5*z - 4*y - 46 = -3*y, -40 = -5*z - 5*y. Suppose z*g - 50 = 4*g. Suppose 1170000 = g*o - 7*o. Round o to the nearest one hundred thousand.
400000
Let l = -66.9 - -70. Let d = l - 5.5. Let r = -2.3974 - d. Round r to three dps.
0.003
Let j = -83846945 - -83846940.7000001. Let z = j - -4.3. What is z rounded to 7 dps?
0.0000001
Let b = -117645112.36729936 - -117644358.01. Let i = b + 758.3573. Let a = 4 - i. Round a to seven dps.
-0.0000006
Let i(f) = -5 + 5 - 3 + 7*f - 2 - f**2. Let m be i(-7). Round m to the nearest ten.
-100
Let t(b) = -54653*b**2 - 2*b + 8. Let y be t(-12). What is y rounded to the nearest 1000000?
-8000000
Suppose 5*o - 230385 = u, -230385 = -5*o + 7*u - 10*u. Suppose o - 9477 = -2*w. Round w to the nearest 1000.
-18000
Let m be (12 - 44114)*2 + 4. What is m rounded to the nearest ten thousand?
-90000
Let p(q) = -60*q**3 + 42*q**2 - 7*q. Let n be p(-24). Round n to the nearest ten thousand.
850000
Let w = -7460.053 + 7423.9. Let a = 36.3 + w. Round a to two dps.
0.15
Let c = 42.123 + -40.1. What is c rounded to one decimal place?
2
Let u(q) = -14*q**2 + q + 4. Let m be u(7). Let y = 1673 + m. Let t = -408 + y. Round t to the nearest 100.
600
Let i(s) be the first derivative of 1600001*s**2/2 - 5*s + 3. Suppose 0 = -5*w + 4*c + 5, 3*c - c - 20 = -2*w. Let g be i(w). Round g to the nearest 1000000.
8000000
Let d = -20449 - -20449.12417. What is d rounded to three decimal places?
0.124
Let u(r) = -615*r**2 + 21*r + 4. Let i be u(-9). Round i to the nearest 10000.
-50000
Let b = -14943 - -14943.000007451. What is b rounded to 7 decimal places?
0.0000075
Let k = 2138 - 1872138. Round k to the nearest 100000.
-190000 | {
"pile_set_name": "DM Mathematics"
} |
4. Let u = -0.7 + 4.7. Let r = u + -3. Sort 2, r, h in decreasing order.
2, r, h
Let z = -18.2 + 18. Let t = -1.9 + 2. Let x = z + t. Sort -3/2, x, 2/5 in ascending order.
-3/2, x, 2/5
Let l be -5*2*4/(-8). Put 3, l, -1 in increasing order.
-1, 3, l
Suppose 0*a - 6 = 2*y + 2*a, -y = -3*a + 11. Suppose 3*n - 4 = 4*n. Let f be n/(-14) + (-32)/14. Sort f, y, -3 in descending order.
f, -3, y
Suppose 10 = 2*i - w - 0*w, 0 = -i - 5*w - 6. Sort 1, i, -2.
-2, 1, i
Let s be 4/(-8)*(0 + 0). Suppose s = -x - x + 4. Put x, -5, 1 in increasing order.
-5, 1, x
Let o = -0.04 - -5.04. Let b = 10 - 61/6. Let s = -2 - -1.6. Put s, b, o in decreasing order.
o, b, s
Let f = -380/9 - -42. Sort -0.3, f, 3/7, 4.
-0.3, f, 3/7, 4
Let d = 3.1 + 0.9. Let f = -54 - -21. Let q = 299/9 + f. Put -1, q, d in decreasing order.
d, q, -1
Let n(m) = -m**2 - m - 8. Let y be n(0). Let a = 4 + y. Put a, 1, 3 in increasing order.
a, 1, 3
Let k = -8 + 4. Let c be ((-2)/14)/(k/(-24)). Put 0.1, c, -2 in decreasing order.
0.1, c, -2
Let v = -1.1 + 4.1. Let w = -3.5 + v. Sort 5, w, -0.2.
w, -0.2, 5
Let i be (-2)/7 - (-48)/364. Let w = -0.5 - -0.3. Let n = w + 0.3. Sort -4, i, n in decreasing order.
n, i, -4
Let u = -4 - -6. Suppose 2 = d, -2*f + 8 = -4*f + u*d. Let t = -0.3 - -0.5. Sort f, -0.4, t in ascending order.
f, -0.4, t
Let j(w) = 2*w**2 + 1. Let z be j(1). Let f = 0 + 2. Sort -4, z, f in decreasing order.
z, f, -4
Let i be (28/245)/(4/(-10)). Sort i, -4/13, -4/3, 5 in decreasing order.
5, i, -4/13, -4/3
Let g = 8 + -9.4. Let p = g - 3.6. Sort 0, p, -1.
p, -1, 0
Let j be (1 + -1 - -2)*5. Let h = 7 - j. Sort -4, h, -2 in descending order.
-2, h, -4
Suppose 12 = 3*a - 7*a. Suppose 5*q - 70 = 5*s, 3*s - 7 + 33 = -q. Let w = s + 6. Put -5, w, a in ascending order.
-5, w, a
Let r be (-9)/2*(-4)/6. Let k be -3 + (-2 + 1 - 0). Let f be (-15)/10 + 6/(-4). Sort f, k, r in ascending order.
k, f, r
Let i = -276 + 267. Suppose 4*r + 1 = -3. Put r, i, -4 in ascending order.
i, -4, r
Let r = -12 + 6. Let h = r - -1. Let u = 5.1 + h. Put u, -1/4, 1/3 in descending order.
1/3, u, -1/4
Let q(l) = -2*l - 8. Let z be q(-6). Let n = z + -3. Put 5, -4, n in increasing order.
-4, n, 5
Suppose 6*t - 3*t - 42 = 0. Suppose 0 = -c + 4*o - t, -3*o + 5 = -2*c - 3. Sort 5, -3, c.
-3, c, 5
Let p = -13.4 - -15.4. Put -1, 4, -0.02, p in ascending order.
-1, -0.02, p, 4
Let t be (-18 + 2)/4*1. Sort 1, t, 3 in decreasing order.
3, 1, t
Let d = 256 + -1789/7. Sort 0.9, -1/4, d in increasing order.
-1/4, d, 0.9
Let a = 23 + -23.5. Put 0, 0.5, -0.9, a in decreasing order.
0.5, 0, a, -0.9
Let i(s) = -s**3 + 2*s**2 + 3*s - 3. Let a be i(3). Let c(f) = f**2 + f - 3. Let p be c(0). Let y be p - -2 - (-9)/7. Sort -2/3, y, a in decreasing order.
y, -2/3, a
Let k = 0 + 5. Let l = 5 - k. Suppose 0 = -3*c - l*c. Sort 0.5, c, 1/4.
c, 1/4, 0.5
Let w = -101/4 - -25. Let a = -3 + 3.1. Put a, w, -4 in ascending order.
-4, w, a
Let t be 4/6 + 5/(-3). Let b(u) = u**3 + 6*u**2 + 4*u - 3. Let h be b(-5). Suppose -4*f = l - 5, h*f + 15 = 3*l - 0*f. Sort l, 1, t.
t, 1, l
Suppose q - 5*d - 8 = 0, -6*q + q = d + 38. Let j = q + 5. Sort j, -5, 4.
-5, j, 4
Let x = -431/174 + -2/87. Sort -15, x, 2.
-15, x, 2
Let u(f) = -f**3 + 15*f - 1. Let g be u(-4). Suppose k = 2*k. Let h(p) = p**3 - 5*p**2 - 5*p - 7. Let j be h(6). Put j, k, g in ascending order.
j, k, g
Suppose 2 = -63*r + 62*r. Sort 0, r, -10 in decreasing order.
0, r, -10
Let i = 56 + -58. Sort i, -4, -1, -10 in descending order.
-1, i, -4, -10
Suppose 0 = 5*c + 31 + 29. Let r(b) = b**2 + 11*b - 15. Let g be r(c). Put g, -2, -1 in descending order.
-1, -2, g
Let a = -6.26 + 6.3. Let i = 11 + -11.24. Let f = i + a. Put -0.3, f, -0.5 in ascending order.
-0.5, -0.3, f
Let s be -6 - (1 + -2) - 2. Let m = s + 8. Suppose -t + m = -0. Put t, -1, -4 in descending order.
t, -1, -4
Suppose 14 + 1 = 5*v. Let i be ((-10)/(-2))/(-3 + 2). Put -3, v, i in decreasing order.
v, -3, i
Let u = 0.247 - 0.047. Let v(d) = 7*d + 1. Let l be v(-1). Let r = -10 - l. Sort r, 2, u in decreasing order.
2, u, r
Let n = 0 - -0.1. Let w = n + -3.1. Let d be 68/(-42) - (8 + (-174)/21). Sort 0.1, d, w in decreasing order.
0.1, d, w
Suppose 4 = -2*c + c. Suppose 2*l + 6 = -v, 3*l - 3 + 11 = -v. Sort l, c, 1.
c, l, 1
Let t = 3 - 5. Let l = -72 + 71. Sort 1, t, l in decreasing order.
1, l, t
Suppose 0 = 3*s + 2*v + 4, 0*v = -4*v - 20. Let d(a) = a**2 + 6*a - 9. Let x be d(-7). Sort x, s, -5 in decreasing order.
s, x, -5
Let g(z) = -z + 5. Let r be (40/6)/5*6. Let y be g(r). Let u be 5/((9/3)/y). Sort 3/4, -0.6, u.
u, -0.6, 3/4
Let i(z) = -2*z + 2. Let b be i(0). Sort b, -5, 1 in ascending order.
-5, 1, b
Let w(u) = u + 7. Let h be w(-6). Let z(p) = p**3 - 12*p**2 - 13*p + 3. Let i be z(13). Sort i, -2, h in increasing order.
-2, h, i
Let p = 42 - 44. Sort -1, 12, p.
p, -1, 12
Suppose 9*w - 15 = 4*w. Let h be -1 + w + (-48)/28. Let x = -0.7 + 1.2. Put x, h, 0.1 in ascending order.
0.1, h, x
Let n be 29/66 - (-9)/(-54). Put 3, -2/3, n in ascending order.
-2/3, n, 3
Let b be 1*1*5/1. Let h(s) = -3*s + s + s. Let j be h(-2). Sort b, 4, j.
j, 4, b
Let s = -0.01 - 0.04. Let c = -0.15 - s. Put 5, 2/23, c in descending order.
5, 2/23, c
Let v(x) = x. Let o be v(-4). Let p = 0.14 - 0.34. Sort 2/9, p, o in increasing order.
o, p, 2/9
Let z be -2 - -2 - (1 - 2). Let c = -2 + z. Let j = -11 - -6. Put j, c, 2 in decreasing order.
2, c, j
Let a = 6/13 + 1/26. Sort -1/23, a, -5 in increasing order.
-5, -1/23, a
Let k(q) be the first derivative of q**4/4 - 4*q**3/3 + 5*q**2/2 - 2*q + 2. Let a be k(3). Let t = -18 + 21. Put t, 5, a in increasing order.
t, a, 5
Suppose -f = 3*j - 7*j + 46, -5*f - 65 = -5*j. Suppose 3*c + 12 = -2*c - 3*y, -5*c - 4*y = j. Sort -7, c, -1 in decreasing order.
-1, c, -7
Let z = 2 + -1. Let b be 0 + 9/7 - z. Let p = -11.3 - -11.2. Put b, p, -1 in decreasing order.
b, p, -1
Let p(c) = c**3 + 2*c**2 - 3*c - 3. Let f be p(-2). Suppose 0 = -0*n + f*n. Let l(d) = d**3 - 8*d**2 + 6*d + 5. Let y be l(7). Sort y, 4, n in decreasing order.
4, n, y
Let s be (-15 + 15)*(1 + -2). Suppose -q = -s*c - 3*c + 8, -2*c - 3*q + 20 = 0. Sort c, 3, -6 in increasing order.
-6, 3, c
Let w = 0 + -0.5. Let y = -0.05 + 0.25. Sort w, y, 3.
w, y, 3
Suppose 1 + 35 = 2*c. Suppose -d = o + d + 7, 3*d + c = o. Put -2, -4, o in descending order.
o, -2, -4
Suppose 3*m - 15 = -2*m. Suppose m = 2*p + 1. Let w = 13 + -13. Put w, -3, p in increasing order.
-3, w, p
Suppose 19*f = 16*f + 6. Put 3, f, -9 in increasing order.
-9, f, 3
Let k(i) = 5*i + 16. Let z be k(-4). Sort z, -2, -1 in decreasing order.
-1, -2, z
Let i be -2 - ((-1)/(-3) - (-8)/(-3)). Put 0, 2/3, i in descending order.
2/3, i, 0
Let l = -105 - -110.1. Let y = l - 5. Sort y, 1, 0.3 in decreasing order.
1, 0.3, y
Let g = -0.05 - 1.95. Let t(d) = 3 + 2 + 11*d + 2 + d**3 + 11*d**2. Let f be t(-10). Put f, 0.3, g in ascending order.
f, g, 0.3
Let d = 0.23 - 0.33. Put 0.3, 2/9, d in ascending order.
d, 2/9, 0.3
Let v be (2 + 1)*3 + -2. Suppose v = -3*c + 16. Suppose -r - c = 2. Sort 0, 3, r.
r, 0, 3
Suppose -6*j + 18 - 6 = 0. Sort 0.5, 3, -1, j.
-1, 0.5, j, 3
Suppose -8*m + 4*m = u - 7, -2*m + 7 = -3*u. Sort 3, -10, 5, u in increasing order.
-10, u, 3, 5
Let k = -3 - -7. Let y = 4 - k. Put -2, y, -4/3 in increasing order.
-2, -4/3, y
Let r = -7 + 3. Let x = 64 + -63. Put x, -3, r in decreasing order.
x, -3, r
Suppose -2*q + 5*g - 187 = -0*g, 4*q + g = -363. Let m be 64/78 + 14/q. Sort m, 0, -0.4 in ascending order.
-0.4, 0, m
Let z = 17 - 21. Put z, 1/5, 2 in descending order.
2, 1/5, z
Suppose 63 = 3*g + 2*b - 5*b, -3*b = g - 5. Sort g, -4, 4.
-4, 4, g
Let z be (0 + -2)*30/(-20). Sort 1, z, -2 in descending order.
z, 1, -2
Suppose -t = t - 2*x + 6, 18 = -5*t + 2*x. Let h be 28/4 + -1 + -1. Suppose 13 = 2*c - 3*z, -7 = 3*c + c + h*z. Sort 5, t, c in ascending order.
t, c, 5
Suppose 3*i - 4*i = 0. Suppose -w + 0 + 1 = i. Let x = 11 + -8. Put 5, x, w in descending order.
5, x, w
Let r = -8.21 + 0.21. Let m = -12 - r. Let k = -14 + 14. Sort k, m, 1 in decreasing order.
1, k, m
Suppose 0 = 9*c - 7*c + 4. Suppose -2 = -3*a + 4. Put c, 0, a in descending order.
a, 0, c
Let l(x) = 6*x - 1. Let t be l(1). Let q be (-2)/6 + (-4)/(-3) + -1. Put t, -5, q in ascending order.
-5, q, t
Let u = | {
"pile_set_name": "DM Mathematics"
} |
ose 12*v = 24*v - s. Let n = 397/6 - 66. What is the third biggest value in -13, n, v?
-13
Let c be ((-1)/(((-594)/(-12))/9))/1. Let y = 0 + 5. What is the smallest value in 1, y, c, -0.2?
-0.2
Let q = 0.659 - -1.341. What is the second biggest value in -90, q, -17?
-17
Let u = 0.438 - -67.562. Let q = 68 - u. What is the third biggest value in q, 5, -35?
-35
Let k = 2170 - 2171. What is the third smallest value in k, 4, -73?
4
Let v = 3095 - 15472/5. Let b = 14 + -10. Let d be 1/b + 4/(-16). What is the biggest value in d, 0.3, v, 3?
3
Suppose -10*n = 3676 - 3586. Which is the second smallest value? (a) 12/5 (b) n (c) 0.3
c
Let w = 332/151 - -112285/1057. Let l = w - 108. Suppose -3 = 2*b + b + 5*c, -2*b - 2 = 4*c. What is the third biggest value in l, b, 4?
b
Let v = 1629 + -1289. Which is the third smallest value? (a) -3 (b) -1/5 (c) -1 (d) v
b
Let j = -2828 + 2860. What is the second smallest value in -12, 5, j?
5
Let p = 20.8 + -16.5. Let n = p + -3.9. Which is the second smallest value? (a) -0.5 (b) n (c) -4 (d) 0
a
Let c(k) = -k**3 - 44*k**2 + 44*k - 50. Let h be c(-45). What is the biggest value in -1.4, -2/7, -3, h?
-2/7
Let j = -52/5 - -223/20. Let r = 478 - 1921/4. Let s = -7/4 - r. Which is the third smallest value? (a) -2/39 (b) j (c) s
b
Suppose 50*o + 12513 = 1863. Let l be ((-38)/1995)/((-11)/5 - -2). Which is the third biggest value? (a) o (b) 0.3 (c) l
a
Let x = 5.5142 - 0.5142. What is the smallest value in x, -0.2, -0.3, -279?
-279
Let d = 1008 + -1018. Let q be (2/(-8))/(d/(-48)). Let y = -6 - -10. Which is the second smallest value? (a) q (b) y (c) 2
c
Let r = 31/5 + -6. Suppose -63 = 2*g - 5*g. Let v be 7/g + 1/(-3). Which is the smallest value? (a) 1/4 (b) r (c) 5 (d) v
d
Let b = -2 - -2. Let v = 17709 + -17711. What is the third smallest value in v, -1/2, b?
b
Let c = -71/6 + 31/3. Let z = -1.95 + 1.9. What is the biggest value in c, 3/2, z?
3/2
Let z = -50433.9 + 50434. Let t = -1/17 - 11/102. Which is the second smallest value? (a) t (b) 6 (c) z (d) 5
c
Let j = -19.48 - -19.58. Which is the biggest value? (a) -0.1 (b) 1/13 (c) j (d) 0.07
c
Let n = 10922 + -10880. What is the second biggest value in -26, n, 2/7?
2/7
Let u = 0.07 + 0.93. Let i = -103 + 103.3. What is the fourth biggest value in 0.36, -5, u, i?
-5
Let j = 8255 + -8254. Which is the fourth smallest value? (a) 4 (b) j (c) 3 (d) 32
d
Suppose -69 = -t + 3. Suppose 0 = -3*h - 6*h + t. Let r be -1 - 2*4/h. What is the smallest value in 4, r, 0.3?
r
Let x = -2914 + 2913. Which is the third biggest value? (a) -0.01 (b) 0.2 (c) -4 (d) -1/10 (e) x
d
Let j = -103 + 107. Suppose -w + 2*w + 5*s + 115 = 0, 4*w + j*s + 412 = 0. Let z = 699/7 + w. Which is the smallest value? (a) -2/3 (b) -2/5 (c) z (d) 0.1
a
Let t = -2379 + 1683. Let s = 696 + t. Let a be (2/1)/(-6 + -1). What is the fourth smallest value in -2/17, a, s, -2/5?
s
Let j = 997 - 996.2. Which is the third smallest value? (a) -2/5 (b) j (c) -1/7
b
Let k = -21.7 - -26.7. Which is the biggest value? (a) -3 (b) 0.3 (c) -39 (d) k
d
Let k(j) = 2*j**2 + 4*j + 2. Let h be k(-2). Suppose -h = -3*t + t. Let u = -19489 - -19489.3. Which is the biggest value? (a) t (b) -3 (c) u
a
Let q = 0.2 - 0. Let o = 11.2 + -9.02. Let l = o + 2.82. Which is the third biggest value? (a) q (b) l (c) 4/7 (d) -0.11
a
Let r = 0.545 + -13.545. What is the second smallest value in r, -15, 4?
r
Let w = -5.69 - -14.69. Which is the third biggest value? (a) w (b) 1/11 (c) 0
c
Let k = -2.9 + 2.546. Let w = -0.026 + k. Let r = w - -0.08. Which is the third biggest value? (a) 2 (b) r (c) -4
c
Let u be ((-93)/(-30) - 2) + 4/10. Let i = -824 + 824.1. Which is the third biggest value? (a) i (b) u (c) 1/6
a
Let t be -1*(-2)/(-4)*-2. Let w be 2 + t - (-8 - -12). Let z = -21.7 - -22. What is the smallest value in w, -5/4, 0, z?
-5/4
Let d = -58.1 - -70. Let h = -11.8 + d. Which is the smallest value? (a) -4 (b) h (c) -2
a
Let j(k) = -k**3 + 19*k**2 - 39*k + 99. Let o be j(17). Which is the biggest value? (a) 76/7 (b) -3 (c) o (d) -5
c
Let s = -159 - -161. Suppose -4*k + y = k + 20, 4*k = s*y - 22. What is the second smallest value in 0, k, 39?
0
Let t be (9 - 15) + (3 - ((-3 - -4) + -3)). Let l = -20 - -20. Which is the second smallest value? (a) -0.3 (b) t (c) -3 (d) l
b
Let i = 0 + 2. Let v = 3.966841 - -0.033159. Which is the fourth biggest value? (a) -1/2 (b) -4.8 (c) i (d) v
b
Let m = 11799.9 + -11800. Which is the fourth biggest value? (a) m (b) -3/7 (c) 3 (d) -3 (e) -6
d
Suppose -4*f - 2*h - 472 = 0, 1848*h + 564 = -5*f + 1852*h. Which is the second biggest value? (a) f (b) 3/5 (c) -3
c
Let g = 57 + -131.6. Let f = 3.1 + g. Let x = f + 72. Which is the second smallest value? (a) x (b) -3 (c) 3/5
a
Let d = -5/238 - -856/3927. Let p be 2/3 + (-280)/528. Let w = p + d. What is the third smallest value in w, -0.4, 4?
4
Suppose 0 = 5*t - t. Suppose 0*x - 4*x = t. Let w = -2.32873 - -2.52873. What is the second smallest value in x, -4, w?
x
Let x(k) = 2*k**3 - 36*k**2 - 1293*k - 47. Let i be x(36). What is the third smallest value in i, -4/7, 1, 0?
1
Suppose -3*s + 344 = 101. Let y = -19521/5 - -133822/35. Let k = y + s. What is the second biggest value in -3/8, k, -0.4, -2?
-3/8
Let n(v) = v**3 - 12*v**2 + 31*v + 3. Let r be n(8). Let k = -0.05 + -0.05. Let f = -0.6 - k. Which is the second biggest value? (a) r (b) f (c) -2/5
b
Let u be 2/(-7) + ((-2856205)/(-280))/(-11). Let q = u - -928. Let l be (-3)/9 - 1/24. Which is the second biggest value? (a) q (b) l (c) 2/13 (d) -2/15
c
Let k be (6/33)/(2/(8/4)). Which is the biggest value? (a) 5 (b) -10 (c) k (d) -33
a
Let y = -34725/4 - -8681. Let o = -0.1 + 0.1. Which is the fourth biggest value? (a) 0.2 (b) 0.5 (c) o (d) y
d
Let v = -59 - -174. Let k = v + -112. Let y = -0.8 + 0.5. Which is the smallest value? (a) k (b) y (c) -6
c
Let q = 13.5 + -13. Let f = 127 + -125.92. Let x = -0.92 - f. Which is the third biggest value? (a) -1/2 (b) q (c) -6 (d) x
d
Let k = -550.9 + 548.9. What is the biggest value in 19/4, k, 1/3, 0.1, -2/15?
19/4
Let k be (2/(-4))/(-11 - (-2329)/204). Which is the fourth biggest value? (a) -2/5 (b) k (c) 2 (d) 1143
b
Let q = -1.3 - -3.3. Let x = 1674 + -1674. Which is the third biggest value? (a) q (b) x (c) -1/5 (d) -7
c
Suppose 15*q - 20*q = -2*q + 15. What is the third smallest value in 0.017, q, 2/5, -0.5, -10?
-0.5
Let q = -8.292 + 12.292. Which is the third smallest value? (a) -1 (b) q (c) -2/5 (d) 2/5 (e) 1/3
e
Let r = 9.1 + -9.663. Let o = -0.063 - r. Let q = -5.21 + 0.21. What is the third biggest value in o, 1/4, 4/5, q?
1/4
Let s(u) = -u**3 + 119*u**2 - 120*u - 82. Let h be s(118). Which is the third smallest value? (a) -2/13 (b) 5 (c) h
b
Let r = 0.34 + 18.26. Let p = r + -18.51. Which is the third biggest value? (a) p (b) 4/3 (c) 1/3
a
Let k = 1.6 - 1.1. Let z be 10 + 171*(-10)/(-20) + (-1)/2. Which is the second smallest value? (a) k (b) z (c) -5/3
a
Let j = -0.56 + -26.44. Let o = 23 + j. Let k = -2.72 - -3.12. Which is the smallest value? (a) o (b) 1/4 (c) k (d) 22
a
Let o = 0.779 - -0.221. Suppose 0 = -2*f + 2*g, -2*g - 20 = -f + 3*f. Let v = 59 + -53. Which is the second smallest value? (a) f (b) v (c) -4 (d) o
c
Let u = -0.047 + 0.447. Let n = 80 + -116. Let f = 36.3 + n. What is the second biggest value in u, 0.2, f, -2?
f
Let a = -12 + 82/7. Let u = 4.14 - 4.54. Let s be (-30)/26 - -1 - 0. What is the smallest value in a, s, u?
u
Let p = 0.012 - -11.488. Let y = p - 15.5. What is the fourth biggest value in -58, y, 2/11, -5?
-58
Let i = 32500.944 + -32235. Let y = -266 + i. What is the second biggest value in 0.2, y, 2/19, -1/2?
2/19
Suppose -65*u - 70 + 24 = 604. What is the second smallest value in u, 5/9, -0.5, 2/7?
-0.5
Let s = -341.5 + 341.8. What is the fourth biggest value in 3/77, -0.4, -2, s?
-2
Let m = 0.5434 - -0.0046. Let j = m - 0.748. What is the third smallest value in 0.2, -3, 7/5, j?
0.2
Suppose 75 - 113 = -19*w. What is the second biggest value in w, -10, 1/7, 4?
w
Let t(o) = o**3 - o**2 + 39*o - 135. Let g be t(3). Which is the fifth biggest value? (a) g (b) 27/5 (c) -0.1 (d) -2 (e) | {
"pile_set_name": "DM Mathematics"
} |
ime factors of 94059?
3, 7, 1493
List the prime factors of 108380.
2, 5, 5419
What are the prime factors of 468?
2, 3, 13
List the prime factors of 1017.
3, 113
List the prime factors of 2926.
2, 7, 11, 19
What are the prime factors of 6535?
5, 1307
List the prime factors of 11819.
53, 223
List the prime factors of 804.
2, 3, 67
What are the prime factors of 2788?
2, 17, 41
What are the prime factors of 481?
13, 37
What are the prime factors of 7205?
5, 11, 131
What are the prime factors of 1035?
3, 5, 23
List the prime factors of 7207.
7207
What are the prime factors of 12399?
3, 4133
What are the prime factors of 4903?
4903
List the prime factors of 3991.
13, 307
List the prime factors of 2316.
2, 3, 193
What are the prime factors of 767?
13, 59
List the prime factors of 48906.
2, 3, 11, 13, 19
What are the prime factors of 424?
2, 53
What are the prime factors of 8500?
2, 5, 17
List the prime factors of 3993.
3, 11
List the prime factors of 1044.
2, 3, 29
What are the prime factors of 19029?
3, 6343
What are the prime factors of 4741?
11, 431
What are the prime factors of 150086?
2, 101, 743
What are the prime factors of 1840?
2, 5, 23
List the prime factors of 1203.
3, 401
List the prime factors of 51681.
3, 7, 23, 107
What are the prime factors of 1064?
2, 7, 19
What are the prime factors of 18683?
7, 17, 157
What are the prime factors of 39619?
39619
What are the prime factors of 40370?
2, 5, 11, 367
List the prime factors of 2656.
2, 83
What are the prime factors of 8287?
8287
List the prime factors of 1495.
5, 13, 23
What are the prime factors of 16045?
5, 3209
What are the prime factors of 12487?
12487
What are the prime factors of 106291?
106291
What are the prime factors of 1565?
5, 313
What are the prime factors of 686?
2, 7
List the prime factors of 20892.
2, 3, 1741
What are the prime factors of 84300?
2, 3, 5, 281
What are the prime factors of 2107?
7, 43
List the prime factors of 41362.
2, 20681
List the prime factors of 1921.
17, 113
List the prime factors of 7260.
2, 3, 5, 11
List the prime factors of 74878.
2, 29, 1291
List the prime factors of 24582.
2, 3, 17, 241
List the prime factors of 116121.
3, 38707
List the prime factors of 67769.
13, 401
List the prime factors of 2048.
2
List the prime factors of 15107.
15107
What are the prime factors of 534?
2, 3, 89
What are the prime factors of 1955?
5, 17, 23
List the prime factors of 75412.
2, 17, 1109
What are the prime factors of 26473?
23, 1151
List the prime factors of 1383.
3, 461
List the prime factors of 9756.
2, 3, 271
List the prime factors of 13495.
5, 2699
List the prime factors of 27369.
3, 3041
List the prime factors of 871.
13, 67
List the prime factors of 30379.
17, 1787
List the prime factors of 3623.
3623
What are the prime factors of 1279?
1279
List the prime factors of 8160.
2, 3, 5, 17
What are the prime factors of 2128?
2, 7, 19
What are the prime factors of 17462?
2, 8731
What are the prime factors of 751?
751
List the prime factors of 595.
5, 7, 17
What are the prime factors of 1203?
3, 401
What are the prime factors of 13713?
3, 7, 653
What are the prime factors of 6501?
3, 11, 197
What are the prime factors of 77901?
3, 23, 1129
What are the prime factors of 74547?
3, 11, 251
What are the prime factors of 3043?
17, 179
List the prime factors of 1471.
1471
What are the prime factors of 28844?
2, 7211
What are the prime factors of 29106?
2, 3, 7, 11
List the prime factors of 44685.
3, 5, 331
What are the prime factors of 1326?
2, 3, 13, 17
What are the prime factors of 6856?
2, 857
What are the prime factors of 200?
2, 5
List the prime factors of 13695.
3, 5, 11, 83
List the prime factors of 54720.
2, 3, 5, 19
What are the prime factors of 1119?
3, 373
List the prime factors of 2183.
37, 59
List the prime factors of 3271.
3271
List the prime factors of 297.
3, 11
What are the prime factors of 570?
2, 3, 5, 19
List the prime factors of 490.
2, 5, 7
What are the prime factors of 1925?
5, 7, 11
List the prime factors of 709.
709
List the prime factors of 48.
2, 3
What are the prime factors of 3894?
2, 3, 11, 59
What are the prime factors of 339?
3, 113
What are the prime factors of 2557?
2557
List the prime factors of 86.
2, 43
What are the prime factors of 5383?
7, 769
What are the prime factors of 49023?
3, 13, 419
What are the prime factors of 4426?
2, 2213
List the prime factors of 35886.
2, 3, 5981
List the prime factors of 1715.
5, 7
What are the prime factors of 625?
5
What are the prime factors of 7568?
2, 11, 43
What are the prime factors of 274?
2, 137
List the prime factors of 20904.
2, 3, 13, 67
What are the prime factors of 3886?
2, 29, 67
List the prime factors of 29059.
29059
What are the prime factors of 49280?
2, 5, 7, 11
List the prime factors of 27814.
2, 13907
What are the prime factors of 16140?
2, 3, 5, 269
What are the prime factors of 1154?
2, 577
List the prime factors of 1592.
2, 199
What are the prime factors of 35042?
2, 7, 2503
What are the prime factors of 3981?
3, 1327
List the prime factors of 2481.
3, 827
What are the prime factors of 1317?
3, 439
List the prime factors of 34800.
2, 3, 5, 29
What are the prime factors of 5047?
7, 103
What are the prime factors of 50231?
50231
List the prime factors of 549.
3, 61
What are the prime factors of 14831?
14831
List the prime factors of 10973.
10973
What are the prime factors of 141143?
29, 31, 157
What are the prime factors of 34644?
2, 3, 2887
List the prime factors of 1242.
2, 3, 23
What are the prime factors of 107381?
167, 643
List the prime factors of 2079.
3, 7, 11
What are the prime factors of 4051?
4051
List the prime factors of 1037.
17, 61
List the prime factors of 33010.
2, 5, 3301
List the prime factors of 883.
883
What are the prime factors of 14326?
2, 13, 19, 29
List the prime factors of 2127.
3, 709
List the prime factors of 1270.
2, 5, 127
List the prime factors of 3197.
23, 139
What are the prime factors of 2462?
2, 1231
List the prime factors of 9266.
2, 41, 113
What are the prime factors of 10995?
3, 5, 733
List the prime factors of 5253.
3, 17, 103
List the prime factors of 43699.
89, 491
List the prime factors of 4903.
4903
What are the prime factors of 36506?
2, 18253
List the prime factors of 2412.
2, 3, 67
What are the prime factors of 163105?
5, 32621
What are the prime factors of 13505?
5, 37, 73
List the prime factors of 184.
2, 23
What are the prime factors of 3788?
2, 947
List the prime factors of 19346.
2, 17, 569
What are the prime factors of 50468?
2, 11, 31, 37
What are the prime factors of 71745?
3, 5, 4783
List the prime factors of 4154.
2, 31, 67
List the prime factors of 18866.
2, 9433
What are the prime factors of 1954?
2, 977
What are the prime factors of 4146?
2, 3, 691
List the prime factors of 977.
977
List the prime factors of 47672.
2, 59, 101
What are the prime factors of 1722?
2, 3, 7, 41
List the prime factors of 38334.
2, 3, 6389
List the prime factors of 81695.
5, 16339
What are the prime factors of 17515?
5, 31, 113
List the prime factors of 3072.
2, 3
List the prime factors of 4742.
2, 2371
List the prime factors of 70821.
3, 43, 61
List the prime factors of 34574.
2, 59, 293
List the prime factors of 386.
2, 193
List the prime factors of 64753.
13, 17, 293
List the prime factors of 35707.
7, 5101
List the prime factors of 24281.
24281
List the prime factors of 63117.
3, 7013
List the prime factors of 37401.
3, 7, 13, 137
List the prime factors of 23165.
5, 41, 113
What are the prime factors of 1074?
2, 3, 179
List the prime factors of 81793.
263, 311
List the prime factors of 82919.
283, 293
List the prime factors of 601.
601
List the prime factors of 6756.
2, 3, 563
List the prime factors of 21892.
2, 13, 421
What are the prime factors of 373?
373
What are the prime factors of 1228?
2, 307
List the prime factors of 16854.
2, 3, 53
List the prime factors of 12611.
12611
List the prime factors of 6787.
11, 617
List the prime factors of 2659.
2659
What are the prime factors of 1917?
3, 71
List the prime factors of 8690.
2, 5, 11, 79
What are the prime factors of 13022?
2, 17, 383
What are the prime factors of 234?
2, 3, 13
List the prime factors of 46768.
2, 37, 79
List the prime factors of 11108.
2, 2777
What are the prime | {
"pile_set_name": "DM Mathematics"
} |
- c, z - c + 2 = -0*c. Suppose -z*h + 2*v - 14 = 6*v, 4*h = 2*v + 22. Sort 5, -4, h in decreasing order.
5, h, -4
Let y be (1/2)/(5/(-70)). Sort 0, 3, 5, y in increasing order.
y, 0, 3, 5
Suppose 0 = t - 3*k + 22, 4*k + 24 = 3*t - 7*t. Let j = t - -5. Let u = 12 - 16. Put j, u, 2 in ascending order.
j, u, 2
Let k be (-2)/6 + 2/(-3). Suppose -4*i = -3*f + 31, 4*f = 5 + 15. Let o be (-3)/45 - i/6. Put k, 0.2, o in descending order.
o, 0.2, k
Let g be (6 - 8/2)/1. Sort 2/5, g, -3/4.
-3/4, 2/5, g
Let p = -1553/12 - -130. Let d = -1/12 + p. Put 3, -1, d in decreasing order.
3, d, -1
Suppose 4*n = 2*n + 6. Let i be (3*1)/((-3)/(-6)). Let q(c) = -c**3 + 7*c**2 - 6*c. Let v be q(i). Sort 2, v, n in ascending order.
v, 2, n
Let h be 1/((-34)/(-4) - 4). Put -1/2, 0.3, h in increasing order.
-1/2, h, 0.3
Suppose 0 = 7*p - 2*p + 25. Put 0, p, 1 in ascending order.
p, 0, 1
Let i = -0.6 + 0.04. Put -0.2, i, -3 in increasing order.
-3, i, -0.2
Suppose 4*s - 8 = -3*u - 5, 5*u + 24 = 3*s. Let p(b) = -2*b**2 + 1. Let m be p(-1). Let j be 7 + m*(3 - 1). Put j, s, -1 in descending order.
j, s, -1
Let q = -0.2 - 9.8. Let x = q + 11. Sort x, 3/7, 3/4 in decreasing order.
x, 3/4, 3/7
Let o = -20 - -10. Let c = o + 7. Sort 0, c, -4 in decreasing order.
0, c, -4
Suppose l = 5*d + 29, d - 15 = -0*l - 5*l. Put -2, -3, l in descending order.
l, -2, -3
Suppose 0*b - 2*b - 2 = 0. Let n be 4/6 + 26/6. Let f be (2/(-3))/((-4)/6). Put b, n, f in increasing order.
b, f, n
Let l = -0.003 + -5.077. Let y = -0.02 - -0.1. Let x = y + l. Sort x, 3, -0.1 in ascending order.
x, -0.1, 3
Let d = 10 + -18. Let g be d*((-5)/2)/5. Let m(v) = v**2 + 6*v - 1. Let s be m(-6). Put 2, s, g in descending order.
g, 2, s
Let q be (6/(-12))/((-10)/(-12) + -1). Sort q, 0, -14 in descending order.
q, 0, -14
Let f = -0.2 + 0.7. Let r = f + -0.4. Sort r, -2/9, -1.
-1, -2/9, r
Suppose 3*n = 2*g - 12, -g - 4 = n - 0*g. Suppose f + 3 = -4*o + 10, 0 = -o - 3*f - 1. Put n, o, 1 in decreasing order.
o, 1, n
Let j(y) = y**2 + 8*y - 10. Let a be j(-9). Let n = a + 5. Let d = -0.7 + 1. Put d, n, 1 in increasing order.
d, 1, n
Let t be ((-4)/2 - -7)*1. Sort t, 0, 8.
0, t, 8
Let k(z) = z - 8. Let a be k(10). Let l = 0.1 + -0.1. Let i = 1 - l. Put i, a, 0.4 in decreasing order.
a, i, 0.4
Let r be -2 + (2 + 3 - 0). Let f = r - 3. Sort 5, f, 4 in decreasing order.
5, 4, f
Let d(z) = z**2 - 7*z + 6. Let o be d(5). Let i be ((-2)/5)/((-1)/(-5)). Suppose 0 = j - 0*j - 1. Sort j, i, o in descending order.
j, i, o
Let b be (3 + 0)*(-13)/156. Sort -0.1, b, 0.03.
b, -0.1, 0.03
Let z be (-18)/(-14) - 18/63. Sort z, -1, 6.
-1, z, 6
Let d = 12.77 + 0.23. Let t = -17 + d. Sort -0.2, t, -5 in descending order.
-0.2, t, -5
Suppose 7*g + 3 + 18 = 0. Sort -17, 2, g in increasing order.
-17, g, 2
Let v = -3 - -3. Let n = 3 - v. Let j = 4/11 - 1/33. Put n, 4, j in ascending order.
j, n, 4
Let h = 2779/9 + -308. Let c = h - 4/9. Suppose 3*y = -k + 2*k + 8, 0 = -2*y + 2. Sort k, 1, c in ascending order.
k, c, 1
Let v(s) = -s**3 - 7*s**2 + 8*s - 4. Let y be v(-8). Sort -2, y, -14.
-14, y, -2
Suppose -6 + 4 = -2*f. Suppose 3*k - 7 = 5. Sort f, k, -3 in descending order.
k, f, -3
Suppose 0 = -5*k - 38 + 63. Sort 1, k, 6 in ascending order.
1, k, 6
Let i = 15 - 16. Let v be (i + 0)*(3 - 5). Let g be (-40)/(-12) - (-2)/(-6). Sort 4, v, g in descending order.
4, g, v
Let a = -5.01 + 0.01. Let j = -2 - -4. Put a, j, -3 in increasing order.
a, -3, j
Let y(k) = k**3 - 5*k**2 - 6*k + 2. Let a be (24/10)/((-12)/(-30)). Let p be y(a). Sort -4, p, 1 in descending order.
p, 1, -4
Let h = 0.6 + -0.1. Let g = 8 - 15. Let c = g + 11. Put 5, h, c in ascending order.
h, c, 5
Let i = -0.05 + 0.45. Let p = 4 - -2. Sort p, i, 0 in descending order.
p, i, 0
Let f(z) = z**3 - 1 - 2*z**2 + 3*z**2 - 4 - 3*z + 3. Let y be f(-2). Let s(t) = t**3 - 2*t**2 + 3*t - 2. Let i be s(2). Put -1, i, y in ascending order.
-1, y, i
Let c be (-1 + -7)*(-1 - -2). Let g = 3 + c. Let r be ((-2)/(-18))/(g/(-10)). Put -0.3, r, -4/9 in increasing order.
-4/9, -0.3, r
Let r = -51 + 54. Sort r, -4, -3, 0.
-4, -3, 0, r
Suppose -8*j + 0*j + 104 = 0. Put j, -1, 0.5, -0.3 in ascending order.
-1, -0.3, 0.5, j
Suppose -q + 18 = -2*p, 4*q - 4*p - 12 = 5*q. Suppose 3*w + 4*v - 125 = 0, -4*w = -w - v - 100. Let f be w/(-20) + (-2)/q. Sort -4, 4, f in descending order.
4, f, -4
Let g be (-3)/(-1)*1*1. Suppose -2*s + h + g = 0, 19 = -4*s - 2*h - h. Sort -5, s, 4.
-5, s, 4
Let p(u) = -u - 2. Let o be p(-6). Let h be (-2)/(-8)*2*6. Suppose 3*l + 4*f = 4 + 2, -5*l = h*f + 1. Put -1, l, o in ascending order.
l, -1, o
Let u = -0.77 - 0.03. Let m = u + 0.87. Let n = m - -1.93. Sort 4/5, -3, n in decreasing order.
n, 4/5, -3
Let k = -18.07 - -2.77. Let v = -16 - k. Let o = -0.4 - v. Sort 3, 2, o in ascending order.
o, 2, 3
Let h be (-3 - -4)*-3 + -3. Let a be 8/6*(-16 + 13). Put h, a, 1 in decreasing order.
1, a, h
Let c(j) = 5*j**3 + 1. Let b be c(-1). Sort -2, -3, b in decreasing order.
-2, -3, b
Suppose 2*t - 3*t - 1 = 0. Suppose 0 = l - 3*l + 6. Sort -2, l, t in descending order.
l, t, -2
Let m = -52/35 + 9/7. Let q be (83/(-332))/(-1 + 1/8). Sort q, m, 0.3 in ascending order.
m, q, 0.3
Suppose 0 = -2*n + 3*n + 2. Let v = -1 + n. Let i = v + 3. Sort -1, 5, i in descending order.
5, i, -1
Let k(v) = v**2 - 9*v + 16. Let c be k(7). Sort -2, -8, c, -1 in descending order.
c, -1, -2, -8
Suppose 0 + 20 = -2*l. Let r be (6/(-15))/((-2)/l). Let f = 0.37 - -0.03. Put r, -1/3, f in increasing order.
r, -1/3, f
Let a(f) = f**3 - 9*f**2 - 9*f - 1. Let h be a(10). Let g = 8 - h. Sort g, -2/19, 0.
g, -2/19, 0
Let p = 6 + -17. Let j = p + 7. Put -5, j, 4 in increasing order.
-5, j, 4
Let d(l) = -l**2 - 5*l + 11. Let o be d(-7). Suppose 0 = -f - 2*f + 12, -2*f + 17 = 3*b. Sort b, o, 0.
o, 0, b
Suppose -8 - 5 = -5*g + 4*d, 2 = -2*g + 4*d. Put -13, g, -2 in descending order.
g, -2, -13
Let v = 2 + 1. Let t = -17 + 23. Sort v, 0.1, t.
0.1, v, t
Suppose 0 = 4*h - 3*h - 5. Suppose -4*q + 24 = 5*b, 3*b - h = 3*q + b. Let f be (-7 - -3)*3/6. Put -3, f, q in descending order.
q, f, -3
Suppose -9*a - 11 + 38 = 0. Let g(n) = -n**2 - 10*n + 9. Let f be g(-11). Put -3/7, f, a in decreasing order.
a, -3/7, f
Let u = 1 - 3. Let t be (-1 - u)/(0 + -1). Let m = 0.2 - -0.2. Sort 0.5, t, m in descending order.
0.5, m, t
Let p(i) = -i + 4. Let o be p(0). Let s be (-2)/(-6) - (-168)/9. Let j = s + -17. Put j, o, -0.4 in decreasing order.
o, j, -0.4
Let b = 3.42 - 3.12. Let y = 3 - 8. Put y, 4, b in increasing order.
y, b, 4
Let g(b) = -2*b**3 - 4*b**2 - 3*b - 2. Let y be g(-2). Let f = y + 0. Suppose -18 = 3*t - 9*t. Sort -5, t, f in descending order.
f, t, -5
Let p = -6 + 11. Sort 1, -3, p in increasing order.
-3, 1, p
Suppose 0*c = 4*c - 12. Suppose 3*l + 0*l + 15 = 0. Let p = 30 + -32. Sort p, c, l in ascending order.
l, p, c
Suppose 0 = -h + 4 - 2. Suppose z + 1 = 2*z. Let n be -1 + 3/9*z. Put h, 4, n in decreasing order.
4, h, n
Suppose -x = -4 + 2. Sort -4, x, -5 in decreasing order.
x, -4, -5
Let b(s) = s**2 + 3*s + 4. Let p be b(-3). Let r be 5*(14/(-10) - -1). Let n = r - -4. Sort n, -3, p in increasing order.
-3, n, p
Let t be (-9)/15 - 0/4. Sort -1, -5, t in decreasing order.
t, -1, -5
Let l = 35.98 - 32. Let j = l - -0.02. Suppose 19 = -4*f + 5*u, f + 7 = -2*u + 4*u. Put j, f, -2/5 in decreasing order.
j, -2/5, f
Let j be 8/(-16)*(1 - 2). Let w = 5 - 5. Put w, -1, j in decreasing order.
j, w, -1
Suppose 2*l - 1 = 2*u + 5, 0 = l + 2*u - 3. Sort -7, 1, l in decreasing order.
l, 1, -7
Let u = -10 - -39/4. Suppose 0 - 4 = -4*s. Put u, -0.4, s in ascending order.
-0.4, u, s
Let b = -0.18 + 0.38. Sort -4, b, 2/5 in decreasing order.
2/5, b, -4
Suppose 2*v - 3*v + 3 = 0. Suppose -16*f + 25*f - 18 = 0. Sort 0, f, v in ascending order.
0, f, v
Let q be 4/(-3) + 76/12 + -5. Put -2, q, 5 in ascending order.
-2, q, 5
Let j = -34 - -36. Sort j, -4, -6.
-6, -4, j
Suppose 4 = 4*i, 22 = -2*y - 3*i - i. Let s = 16 + y. Sort s, 5, -5 in decreasing order.
5, s, -5
Suppose 5*u = -0*u. Let i(t) = -t**3 + t**2. Let z be i(1). Let v be -2 - -2 - (z - 4). Put u, -5, v in decreasing order.
v, u, -5
Let x(r) = r**3 + 5*r**2 + 4*r + 5. Let l be x(-4). Let w be 88/660 - 32/15. Sort -5, w, l in ascending order.
-5, w, l
Suppose x - 5*a - 3 | {
"pile_set_name": "DM Mathematics"
} |
69/6930)
Simplify ((a*a**1)/a)**(-2/49)*a*a**9*a**(-9)*(a*a**(1/3)*a*a/(a/(a/(a*a**(-1))*a))*a)/(a**1)**(4/11) assuming a is positive.
a**(9587/1617)
Simplify (b**0)**14/(b*b**(-2/9)*b**(-2/5)*b)*((b/b**(-1/2))**(2/83))**(1/28) assuming b is positive.
b**(-143953/104580)
Simplify ((f*f/(f**(2/5)/f)*f*f**(-3)*f)/((f*f**(-5/6))/(f*f/(f*f*(f/((f*(f/(f**(-8/5)*f))/f)/f)*f)/f*f))))**2 assuming f is positive.
f**(1/15)
Simplify (g**(-5/7)/g*g**(3/2))**(3/5)/((g**(2/19)*g*g**(-1))/((g/g**(-2/3))/g)**(-16)) assuming g is positive.
g**(-43493/3990)
Simplify (g**(-1/4)/(g**(-6/5)*g))/(g*g**(-1/4)*(g*g**9/g)/g)*((g*g/g**(-1/6))**(-2/45))**(-11) assuming g is positive.
g**(-209/27)
Simplify (((g*g**(-18)*(g**(-3)/g*g)/g*g)**31)**(-5))**(1/17) assuming g is positive.
g**(3100/17)
Simplify ((l/(l/l**(-7)))/((((l*(l/l**(-3)*l*l)/l)/l)/l*l)/l))/(l**0/l)**(-3/4)*(l**10*l**(-1/5)*l)**27 assuming l is positive.
l**(5597/20)
Simplify ((i/i**(-3/4)*i)**(-16)/(i**(-4)*(i*i**(-1/2))/i))**(-9/4) assuming i is positive.
i**(711/8)
Simplify ((c/(c*c*(c*c/(c*c**(2/7)))/c*c*c))**(1/6))**(9/7)/((c*c*c**(-2/5)*c*c)**40)**(-42) assuming c is positive.
c**(592647/98)
Simplify ((x**(-27)*x**22)/(x*x**(-1/10))**37)**(-38/3) assuming x is positive.
x**(7277/15)
Simplify (n**(10/13))**(-2/131)/(n*n*n**(-2/7))**(12/19) assuming n is positive.
n**(-247892/226499)
Simplify ((v/v**(-2/7))**(9/5)*(v*v**5)**(3/8))**(-41) assuming v is positive.
v**(-26199/140)
Simplify (((v**(8/5)*v**(-2))**(-2/19))**43)**(-13) assuming v is positive.
v**(-2236/95)
Simplify (((x*x**(-1))**(-1/22)/(x**(-1/4))**(2/123))**48)**(1/40) assuming x is positive.
x**(1/205)
Simplify ((u**(-6/5)/u**(3/7))/(u**5)**(-2/97))**42 assuming u is positive.
u**(-31074/485)
Simplify ((z**2*z)**39)**42*(z*z*z**1)**(-2/15)*z/(z*z**(-1/7))*z**(2/5) assuming z is positive.
z**(34399/7)
Simplify (((y*y*y**(-3/25)*y*y*y)/(y*y**(-14)))/((y*y**7)/y*y**(-3/25)))**(-7/5) assuming y is positive.
y**(-77/5)
Simplify ((a*a**(-5/3))/(a*a*a*a**(1/10))*(a**(-1/4)/a*a)**26)/(a**(5/4)*a*a**1/a*(a*a/(a*a**(1/3)))/(a*a*a/(a/a**(-3)))) assuming a is positive.
a**(-851/60)
Simplify (x**(1/5)/x**(-1/4))**(1/38)*((x**(-2/3))**35)**27 assuming x is positive.
x**(-478791/760)
Simplify (j**(-1))**(4/7)*(j**(-2/13)/j*j)/(j*j**(-4/5))*(j**(-2))**8/(j**(-5)/(j*j**(-2/5))) assuming j is positive.
j**(-5153/455)
Simplify l/l**(-3/10)*l**(1/19)*l*l**41*l**(-1/2) assuming l is positive.
l**(4071/95)
Simplify (s**(-1/3)/(s/(s/(s/s**(1/5)))*s)*s*(s/s**17)/s*s*s**17/s)**(1/13) assuming s is positive.
s**(-17/195)
Simplify (t/t**(-2)*t**(-2))**49/(t*t*(t/((t**0*t)/t*t))/t*t/(t/t**(1/4)*t*t))**(-15) assuming t is positive.
t**(151/4)
Simplify ((u/((u*u**(-7)/u)/u))/(u/u**(-4)))/((u*u/(u**5*u))/(u/(u*u**(5/7))))*((u**0/u)/(u/u**(-4/7)))**6 assuming u is positive.
u**(-57/7)
Simplify ((u*u**0/u*u)**16)**(-7/3)*(u**(-1/8)*u**(1/3))**23 assuming u is positive.
u**(-781/24)
Simplify ((y**(-1/5)/y)/y**(-28)*y**2/y**(-4))**(-19) assuming y is positive.
y**(-3116/5)
Simplify (((w/w**(-6))/w)/(w**4/w)*w**(-1/5)*w*w*w**3)/((w**(-1/4)/w)**(-1/9))**(2/9) assuming w is positive.
w**(6293/810)
Simplify (f**(-2/7))**(-26)/((f*f**2)/((f/(f/(f**(-1/4)/f)))/f))*f**(-4)*f/(f/f**(1/10))*f*f**1*f**5 assuming f is positive.
f**(739/140)
Simplify ((g*g**(-6)*g)/(g/g**(5/2)))/((g/g**(1/2))/g)**(39/5)*(g*g/((g*g/(g*g*g**3))/g*g))/(g*g*g**(-1))*(g**(-1/4))**(-1/25) assuming g is positive.
g**(541/100)
Simplify (p**(2/15)/p*p/(p**3/p))**(-11/5)*(p*p**(1/3)*p*p**(-5))/(p/(p/(p*p**(-2/7))))**28 assuming p is positive.
p**(-464/25)
Simplify (((f/f**(2/13))/f)/f**(2/5))/(f**(3/5)/f**(1/3))*(f**(-2/5))**29*f**(-5)*f**(-1/4) assuming f is positive.
f**(-13783/780)
Simplify (u*u*u**(-2/9)/u*u**2*u)**(1/53)*((u**(-3/7)*u)/u**(-1/4))**(14/3) assuming u is positive.
u**(3725/954)
Simplify ((((c**(-2/5)/c)/(c**18*c))**(2/3))**23)**(-2/109) assuming c is positive.
c**(3128/545)
Simplify b**(-30)/(b/b**(1/17))*(b/(b**8*b))**(-1/45) assuming b is positive.
b**(-23534/765)
Simplify (c**(-2/45))**47*c**2/(c/(c/c**(-46))) assuming c is positive.
c**(2066/45)
Simplify (q**(-2)/((q/q**6*q*q)/q)*(q*q*q**(2/9))/(q*q*q**(1/2)*q*q))/((q**(1/3))**9*((q**(1/6)*q*q)/q)/q**(-2)) assuming q is positive.
q**(-58/9)
Simplify ((c**(-2)/c)**24/(c*c**(-1/4))**21)/(c**8*c**(-4))**(5/9) assuming c is positive.
c**(-3239/36)
Simplify (x*x**(9/8))/(x*x**(-3/7))*(x*x**(-2/41))/x**(11/4) assuming x is positive.
x**(-563/2296)
Simplify ((x**7/x*x*x**(-4)/x*x)/((x/(x**(-2/3)*x))/(x*x*x**(1/11)/x)))/((x/(x*x**(1/6))*x/(x*x**(2/9)))/(x**(1/10)/x**(4/5))) assuming x is positive.
x**(1541/495)
Simplify (((o/(o/(o/(o/((o*o**(2/29)/o)/o))*o)))/o)/((o**(1/4)*o)/o)*o**(-11)*o/((o*o*o*o**(-7/4)*o)/o))**(-13) assuming o is positive.
o**(9373/58)
Simplify ((j**(-2)/j**11)/(j**(-12)*j*j**11))**(-1/24) assuming j is positive.
j**(13/24)
Simplify (r**(-2/27)*r**(-23)*(r**(-1/20))**(2/7))**5 assuming r is positive.
r**(-43637/378)
Simplify (l**(-3/7)/l**4)/(l**(1/3))**(18/5)*((l*l*l**1)**(3/11))**(-18/5) assuming l is positive.
l**(-3301/385)
Simplify ((s/(s/(s*s**(-1/3)))*s)**(3/20))**(29/5)/((s*(s*s**(-2/7))/s*s)**(-41))**(2/13) assuming s is positive.
s**(22319/1820)
Simplify (v**(-3/7)*v**(2/13))/(v**1)**(-3/7)*((v*v**(7/2))/v*(v/(v/v**16*v)*v)/v)**(-1/5) assuming v is positive.
v**(-461/130)
Simplify ((d**(-4))**(-22)*(d*d**(-1/2)/d)**(-17))**(-19) assuming d is positive.
d**(-3667/2)
Simplify ((m**(3/11)/m**(7/8))/(m**(3/10)/m*m*((m/((m/(m/(m/((((m/(m*m**17))/m)/m)/m)*m)))/m)*m)/m*m)/m))**(-17/3) assuming m is positive.
m**(-47617/440)
Simplify (n**8*n*n/(n**(-2/7)/n*n*n))**(-6/5)/(n**(-1/2)*((n*n/(n/(n/(n*n*n**(3/8)*n*n)))*n)/n)/n*n**1/(n/n**1)) assuming n is positive.
n**(-463/56)
Simplify ((t*(t*t**1)/t)/t*t*t**(1/4)*(t*t**7)/t**(-3/2))/(((t*t/t**(2/11))/(t/(t/(t/t**(-2/3)))))/(t/(t**(1/3)*t)*(t*t**(-1)*t*t)/t)) assuming t is positive.
t**(1619/132)
Simplify (o**(-3/7)*o*o**(-6)/o*(o/o**(-5))/o**2)/(((o*o**(-4))/o*o*o)**(-5/9))**(-38) assuming o is positive.
o**(2507/63)
Simplify ((u**(2/7))**4*u**(2/19)*u*u**(-5)/u*u)/(u**6/(u/(u*u**(-1/2)))*u*u/(u/u**4)*u/u**(-1/5)) assuming u is positive.
u**(-19221/1330)
Simplify (s/s**25*s**(-11))/(s**(-4/13)/(s*s**(14/5))) assuming s is positive.
s**(-2008/65)
Simplify ((j*j**1*j)**(3/5)*j*j/j**19*j/(j**(-2/9)/j))**(-2/37) assuming j is positive.
j**(1168/1665)
Simplify (h*h**(-1))**(39/5)/(h/h**(-2))**(-42)*((h/(h**1/h))/h)**4/((h**(-2/17)/h)/h*h**(2/15)) assuming h is positive.
h**(32636/255)
Simplify (b*b**(2/13)/b*b*b/(b**30/b)*b*b**(-8)*b/(b**27/b))**(2/5) assuming b is positive.
b**(-306/13)
Simplify ((h**15/h)**(10/7)*h**(-24)/h*h*h*h**(1/14))**(-18) assuming h is positive.
h**(369/7)
Simplify (s/(s*s**(-1/2)))/(s*s**(-6))*(s*s*s**(1/2))**(-2/163)*(s/(s*s**(2/7)*s))**(3/4)*(s*s**(-1))/s**(3/7) assuming s is positive.
s**(18605/4564)
Simplify ((((b**9/b)**(2/31))**41)**(-2/59))**42 assuming b is positive.
b**(-55104/1829)
Simplify ((w*w**(1/5)*w)**(21/2)*w/((((w**(20/7)/w)/w)/w)/w)*w**(2/3))**22 assuming w is positive.
w**(59851/105)
Simplify ((((n**(-1))**(-19))**13)**(-1/10))**(-1/4) assuming n is positive.
n**(247/40)
Simplify ((z*z**(1/2))**(6/23)*z**(-20)*z**(-1/19))**18 assuming z is positive.
z**(-154656/437)
Simplify ((x*x*x**(7/4)*x)/x**(-14)*x*x/(x/(x/x**(5/7)))*x*x*x**(2/11))**(-47) assuming x is positive.
x**(-321621/308)
Simplify ((h**3*h**(-7)/h*h/(h*h**(-2/31))*(h*h**5*h)/h)**16)**(7/12) assuming h is positive.
h**(308/31)
Simplify ((u**(-3))**(-22)*u**(-10/7)*u**(-14))**(-11/6) assuming u is positive.
u**(-649/7)
Simplify (z**(-28)*z*z**(-17))/(z**18)**21 assuming z is positive.
z**(-422)
Simplify ((l**(-1))**(-29)/(l*l**(-1/3))**(37/4))/(l/(l**7/l)*(l**(-6/5)/l)/l)**(-15) assuming l is positive.
l**(-601/6)
Simplify ((((r/r**2)/r)/r)/(r/(r*r*r**(-1/4)))*((r**(-2)*r)/r)/r**(2/3))/(((r**(-6)*r)/r)/r**3)**(5/6) assuming r is positive.
r**(31/12)
Simplify (t**(-33)/((t*t*t*t/t**(2/131)*t*t*t)/t))/(t*t*t**32*t**(8/11)) assuming t is positive.
t**(-106219/1441)
Simplify ((u**(4/3))**(-36)/(u*(u**(-1)/u)/u*u/(u*u**(-7))*u))**(-11) assuming u is positive.
u**594
Simplify (t**(-8)*t*(t*t/(t*t*(t**(5/4)*t)/t))/t)**(3/14)/((t**(-1/3)/t)/(t**(-1/3)*t)*(t/(t/((t/t**(-1))/t)))* | {
"pile_set_name": "DM Mathematics"
} |
y 1?
0
Let g(r) = -18*r - 3. Suppose -7 = 5*v + 18. Let w be g(v). Suppose -w = 2*j - 5*j. What is the remainder when j is divided by 10?
9
Calculate the remainder when (-130)/(-30)*(1 + -4)*-4 is divided by 11.
8
Suppose -4*u + 8 = -4. Suppose -4*n - 229 = 4*m - 1, 279 = -5*m - u*n. What is the remainder when (-2)/5 + m/(-10) is divided by 3?
2
Suppose 0 = 2*x + 3*x - 280. Let d = -26 - -45. Calculate the remainder when x is divided by d.
18
Let i(a) be the third derivative of a**6/120 + a**5/10 + a**4/6 + a**3/2 + 7*a**2. Calculate the remainder when i(-4) is divided by 7.
5
Let d = -139 + 197. Suppose 0 = -3*l - 3*h + 34 + 8, 0 = -4*l - 5*h + d. What is the remainder when 33 is divided by l?
9
Let l(k) = k**3 + 6*k**2 + 2*k - 1. Let r(c) = 22*c - 2. Calculate the remainder when r(2) is divided by l(-2).
9
Let f = 24 + 26. Calculate the remainder when f is divided by 17.
16
Let o be (-3 + (-21)/(-6))*40. Let q = o + -13. Calculate the remainder when q is divided by 2.
1
Suppose -15 = -r + 64. Suppose 0*k = -k - 1, -k - r = -2*u. What is the remainder when u is divided by 10?
9
Let w(k) = -k**3 - 14*k**2 - 3*k - 13. Suppose 3*u - 139 - 29 = 0. What is the remainder when u is divided by w(-14)?
27
Suppose 3 = -3*g + 18. Suppose 11 + g = 4*q, 0 = -2*v + q. Suppose 7 = v*n - n. What is the remainder when 12 is divided by n?
5
Let l(v) = 4*v + 22. Let a(c) = -6*c - 33. Let m(w) = 5*a(w) + 7*l(w). Calculate the remainder when m(-8) is divided by 2.
1
Let v = -151 + 205. Suppose -18 = -2*d + 10. Calculate the remainder when v is divided by d.
12
Suppose 2*o - 60 = -3*o. Let r = 25 + -2. What is the remainder when r is divided by o?
11
Let m = 18 - 1. What is the remainder when m is divided by 9?
8
Let h = -6 + 55. Suppose h = 2*n + 7. Suppose -3*t + 3*c - n = -72, 4*t - 89 = -3*c. What is the remainder when t is divided by 7?
6
Let r be -2 + 3 + -85*1. Let y = 137 + r. Calculate the remainder when y is divided by 18.
17
Suppose -5*k = -6 - 4. Suppose 0 = -7*x + k*x. Suppose m - 4*a - 41 = x, -m + 0*m - 3*a = -55. Calculate the remainder when m is divided by 17.
15
Suppose -3*c = -c. Suppose c*u + 38 = 2*u. Calculate the remainder when u is divided by 10.
9
Suppose 3*o + 5*i - 1 - 59 = 0, 0 = -o + 4*i + 3. Let q = 51 - o. Suppose 0*z + 2 = z, t + 2*z - q = 0. What is the remainder when t is divided by 17?
15
Let g = -28 - -67. What is the remainder when g is divided by 20?
19
Suppose -3*g = -6*g - 9. Let a = g - -14. Calculate the remainder when 40 is divided by a.
7
Suppose -1 = -3*k + 2. Let h(j) = j**2 - j + 2. Let r be h(0). Let b = 0 + r. What is the remainder when b is divided by k?
0
Let c be 1/(-4) + 666/(-24). Let d = c + 57. Calculate the remainder when d is divided by 8.
5
Let q(y) = 9*y + 18. What is the remainder when q(13) is divided by 34?
33
Calculate the remainder when 21 is divided by (10/20)/(2/20).
1
Let k(l) = l**2 + 5*l. Suppose -5*w - 4*j = 8, -3*w + w - 11 = -j. Let z be k(w). Let x = 15 + z. What is the remainder when 32 is divided by x?
10
Suppose 4*c = 3*c + 12. Calculate the remainder when c is divided by (60/(-25))/(6/(-20)).
4
Suppose 6*r = 2*r + 44. What is the remainder when 32 is divided by r?
10
Let c(j) = 11*j - 34. What is the remainder when 59 is divided by c(5)?
17
Let n = -152 - -240. Calculate the remainder when n is divided by 23.
19
Let h(u) = 3*u - 3*u - u + 4. Suppose 0 = -0*c + c - 3*s + 12, 2*c = 5*s - 21. Calculate the remainder when 20 is divided by h(c).
6
Suppose -w + 5*w = 4*o - 44, 5*o - 95 = -3*w. Calculate the remainder when 45 is divided by o.
13
Suppose -l + 2*l = 7. Suppose 2*z + 0 = -6. Calculate the remainder when (-38)/(0 + z + 1) is divided by l.
5
Let t(b) = b**3 - 9*b**2 - 8. Let l be t(9). Let o = l + 8. Suppose o*j + 3*j = 39. What is the remainder when 36 is divided by j?
10
Let j(g) = 5*g**2 - 2*g + 3. Let i(l) = -l**2 - 6*l - 3. Let m be i(-5). Calculate the remainder when 36 is divided by j(m).
17
Let f(w) = w**2 + w - 10. Calculate the remainder when 36 is divided by f(-5).
6
Suppose -301 + 121 = -4*i. Let t(z) = -10*z - 17. What is the remainder when i is divided by t(-4)?
22
Suppose 16 = 3*c - 4*d, c + 0*c - 3 = -d. Let i(x) = 3 - 3*x**2 + 6*x - 5*x + 4*x**2 + 3. Calculate the remainder when i(0) is divided by c.
2
Suppose -5*c = -38 - 212. Let h = -216 - -233. What is the remainder when c is divided by h?
16
Let v(h) = -3*h - 7. Calculate the remainder when 5 - (0 + (-1 - -3)) is divided by v(-3).
1
Suppose 25*q - 5*q - 300 = 0. Let n(w) = -w**3 + 4*w**2 + 7*w - 6. Calculate the remainder when q is divided by n(5).
3
Suppose 5*v - o = 110, 5*v + 59*o - 54*o = 110. Let y = -76 - -119. What is the remainder when y is divided by v?
21
Suppose 4*s - 71 = -3*t, 2*t - s - 4*s = 32. Let g(f) = f**3 - 3*f**2 + 3*f - 3. Let j be g(3). What is the remainder when t is divided by j/(-15) - (-114)/10?
10
Let n(r) = 2*r**2 + 4*r + 2. Let j be n(-3). What is the remainder when 17 is divided by j/2 + (2 - 0)?
5
Let f(l) = -l**3 + 9*l**2 + 10*l - 6. What is the remainder when f(9) is divided by 22?
18
Suppose 0 = -o - 2*o - r + 49, -44 = -4*o + 4*r. What is the remainder when (o/4)/((-3)/(-12)) is divided by 8?
7
Let h be (-3)/(-2 + 21/11). Let i(w) = -3*w + 1. What is the remainder when 3 + h - 1*-2 is divided by i(-4)?
12
Suppose 2*c + 3*z - 11 = 0, -2*c + z - 7 = -2*z. Calculate the remainder when 3 - (c + 76/(-2)) is divided by 14.
12
Let i(c) be the second derivative of -c**4/12 + 7*c**3/6 + c**2 + 2*c. What is the remainder when (12 - -2 - -1)*1 is divided by i(6)?
7
Let i = 7 - 3. Suppose -8 = -i*j + 8*j. Calculate the remainder when j + 39*(-4)/(-6) is divided by 13.
11
Let m be 18/12*(-44)/(-2). Suppose 3*k + k + 4*y - 108 = 0, 2*k - 5*y - m = 0. What is the remainder when k is divided by 9?
6
Suppose p = -2*v + 2, 1 = -3*p - 4*v - 3. What is the remainder when (18 + -6)*(-2)/p is divided by 2?
1
Suppose -8*k + 15 = -3*k, 3*k + 71 = 2*i. Suppose -5*w + 2*m - 68 = 0, -5*w - 12 - i = 2*m. What is the remainder when 3/((-3)/3) - w is divided by 4?
1
Suppose 0 = -4*t + 2*r - r + 84, -2*r + 105 = 5*t. Calculate the remainder when 83 is divided by t.
20
Let h be 3/18 - 23/(-6). Suppose 0 + 8 = -h*w. Calculate the remainder when w*(1 - 23/2) is divided by 11.
10
Let n(h) = -h**3 + 2*h**2 - h + 3. Let w be n(3). Let b(o) = o**3 + 9*o**2 - 2*o + 11. What is the remainder when b(w) is divided by 10?
9
Suppose 0 = -o + 4*s + 14, 5*s + 17 = o - 0*s. Suppose -178 = -4*d - o*i, -4*d + 0*i = -2*i - 198. What is the remainder when d is divided by 12?
11
Suppose 6 = 5*y - 9. Let f be 7/(21/26)*-3. What is the remainder when f/(-3) - (-4)/(-6) is divided by y?
2
Suppose -5*d + 11 = -q, -4*q + 11 = -2*d + 1. Suppose 0*c - 6 = -d*c. Suppose -c*b - 20 = -i, -2*i + 4 + 6 = 2*b. What is the remainder when 29 is divided by i?
9
Let t(n) = n**3 - 15*n**2 + 15*n + 9. Calculate the remainder when 108 is divided by t(14).
16
Suppose 0 = -3*f - 5*f + 416. What is the remainder when 101 is divided by f?
49
Let a(h) = h**2 - 10*h - 10. Calculate the remainder when a(12) is divided by 3.
2
Let k(f) = -f**3 + f + 58. Let d = -94 - -114. Calculate the remainder when k(0) is divided by d.
18
Suppose -4*l = -0*l + 32. Suppose 5*d + n = -2*n, 5*d - n = -20. Let u = d - l. What is the remainder when u is divided by 2?
1
Suppose 0 = 4*w - 0 - 4, -s + 17 = -5*w. Calculate the remainder when s is divided by 8.
6
Let t = 10 - -7. Calculate the remainder when t is divided by 6.
5
Let x(y) = y**2 - 2*y. Let g = -9 - -17. Calculate the remainder when x(5) is divided by g.
7
Let k(l) = l**2 - 7. Let y(b) = b - 3. Let n be y(9). Calculate the remainder when k(n) is divided by 8.
5
Let q = 69 - 54. Suppose j = k + k - 14, 0 = -2*k - 5*j + 38. What is the remainder when q is divided by k*(-2)/(-6)*3?
6
Suppose -t - 2*j + 1 = 4, 0 = 2*j + 6. Let c = -9 - 1. Calculate the remainder when (16/c)/((-1)/5) is divided by t.
2
Let t(h) = -h + 7. Let d be t(0). Let m = 48 - d. Calculate the remainder when m is divided by 21.
20
Let m = 1 + 3. Suppose -2*c + c - 2*p = -25, -m*c + 144 = -3*p. Suppose 0 = 4*n - 8 - 60. Calculate the remainder when c is divided by n.
16
Let b(t) = -t**3 - 10*t**2 - 12*t - 7. Let u be b(-9). Suppose -x = 2 + | {
"pile_set_name": "DM Mathematics"
} |
the fourth biggest value in 3, -3, -3/542, 14, -6, 0.14?
-3/542
What is the fourth smallest value in -255, -4/7, -58, 0, -0.5, -0.3?
-0.5
Which is the biggest value? (a) -2/47 (b) -5/1198492 (c) -0.4
b
What is the smallest value in -0.3, 0.11, 2, -4, 3/4, -28, 23?
-28
What is the fifth biggest value in 1/10, -4, 1/7, -5, -0.799?
-5
What is the fourth biggest value in -0.5, 0.5, -2, 917, -3/5, 18/169?
-0.5
What is the fourth smallest value in -3/8, 0.4, 3/5, 183, 66, 0?
3/5
Which is the fifth biggest value? (a) -3/1397 (b) 3/4 (c) -0.2 (d) 0.09 (e) 0
c
What is the fourth smallest value in -75, -3, 2839.35, 3?
2839.35
Which is the second smallest value? (a) -5 (b) 2 (c) -8 (d) -2/3 (e) 32 (f) -2/251
a
What is the second biggest value in -1, 4/3, 16, -2/53, 1, -2/7?
4/3
What is the smallest value in 57/75367, 22, -2/9?
-2/9
Which is the third biggest value? (a) -1 (b) -1/5248 (c) -6 (d) 0.1 (e) -1/5 (f) 2/9
b
Which is the second biggest value? (a) 212 (b) 2/938089 (c) 2/21
c
Which is the biggest value? (a) -29 (b) 0.2 (c) -2/7 (d) -2/19 (e) -111
b
What is the biggest value in 2, 4, -6, -0.04, 474, -6/97?
474
Which is the fourth biggest value? (a) -6 (b) 9.3 (c) -914 (d) -5
c
What is the second biggest value in 9479, -5, 38, 1/5?
38
What is the biggest value in -12, -1, 0.201, 3207?
3207
What is the smallest value in -4.4, -0.4, -3.4, -30, -5, 1/6?
-30
What is the third biggest value in -3/7, -1040, 26/525?
-1040
What is the biggest value in 0.22, -25, 0.2, -10.648?
0.22
What is the second smallest value in 1, -66/5, -964/9?
-66/5
What is the smallest value in 0.69, -16239, 0?
-16239
Which is the second smallest value? (a) -1206 (b) -1 (c) -45185/4
a
What is the sixth smallest value in 0.1, -0.1, 0.287, 0.18, 2/7, 4, 2?
2
Which is the second biggest value? (a) -712.5839 (b) 2 (c) 1/9
c
Which is the biggest value? (a) 89 (b) -4 (c) 1/4 (d) 18 (e) 27
a
Which is the smallest value? (a) 7135 (b) 14512 (c) -1
c
What is the fourth biggest value in 12.6, 2, -8, 0.5, 3181?
0.5
Which is the third biggest value? (a) 268 (b) -7421 (c) 0.02
b
What is the fourth biggest value in 0.073, -5, -60, 0.2, -0.4, -41/5?
-5
What is the fifth biggest value in 20, -2, -14.2, 47, -126/11?
-14.2
What is the sixth biggest value in 3/4, 32, -0.5, -1/3, -72, -2/7?
-72
What is the smallest value in -4229394, -4/3, -1/7?
-4229394
What is the second smallest value in -7/4, -1, 2/5, 80, 23412?
-1
What is the second biggest value in -5, -0.5, 2434921?
-0.5
What is the second smallest value in 0, 10/21, -4, 20, 3/112, -2/11?
-2/11
Which is the third smallest value? (a) -234 (b) 4 (c) 2/135 (d) 1/3 (e) -59 (f) 1
c
What is the fifth biggest value in 19, -0.2, -3, 0.07, -3/97, 0.016?
-0.2
What is the biggest value in -6455, -0.4, 5, 0, -233?
5
What is the seventh smallest value in 1/3, -3, 14/29, 1, -168, 1/7, -0.5?
1
What is the third smallest value in -9, -2/11, -1/5, -2/53, -0.11, 4?
-2/11
Which is the seventh biggest value? (a) -48 (b) -1/3 (c) 1 (d) 1/4 (e) -1/213 (f) -0.5 (g) -25
a
What is the second smallest value in 0.4, 4, -0.3, 2, 5/4, -2353, -23.5?
-23.5
What is the second smallest value in -1, 2/11, 1/25, 0.3, -3, 26?
-1
What is the biggest value in -1/8, -0.17, -1507934?
-1/8
What is the biggest value in 8/1463095, 1, 0.2?
1
What is the third biggest value in 5082, 3/5, 18?
3/5
Which is the smallest value? (a) 26 (b) -1/2 (c) 592 (d) 108
b
What is the third smallest value in 8/5, -2.4, 4839?
4839
What is the fourth biggest value in -0.4, -0.13, 4, 3/13826, 1?
-0.13
What is the biggest value in 2/15, -6/31, -3/11788?
2/15
Which is the third biggest value? (a) -6 (b) -223 (c) 2/11 (d) 3 (e) 5 (f) 0.3
f
What is the third smallest value in 1, 12.628, 4, 12, -5?
4
What is the smallest value in 55, 1923, -0.5, -3?
-3
Which is the third smallest value? (a) 2 (b) 1/8 (c) -3/8 (d) 0.4 (e) 35550 (f) 9.9 (g) 1
d
Which is the third smallest value? (a) 13 (b) 0.1 (c) 21 (d) -34
a
Which is the third biggest value? (a) 4 (b) 0 (c) 138 (d) -3 (e) -0.3 (f) -0.0416
b
Which is the third biggest value? (a) 326 (b) -17 (c) -3 (d) -9.95 (e) 2/11 (f) 1/4
e
What is the second smallest value in 0.4, 527.75, -24, -8/9?
-8/9
What is the smallest value in -445, 27, -4, 99?
-445
What is the fourth smallest value in -5, 3, -5/4, -1062, 0.02, -0.4, 0.9?
-0.4
What is the third smallest value in 0.4, 3, 1/25584, -305?
0.4
What is the fifth biggest value in -5/4, -4.96, 0, 0.56, -5, 0.08, -0.2?
-5/4
Which is the third biggest value? (a) -19387 (b) 15/4 (c) -1 (d) 2/9 (e) -2/3 (f) 0.5
d
Which is the third biggest value? (a) 6/43 (b) -0.01 (c) 2/13 (d) -3/7 (e) 13/2 (f) 2/9
c
What is the third smallest value in 0.5, -46694, -1/2, -0.6?
-1/2
What is the third smallest value in 33.3, -2/7, 610831?
610831
Which is the fifth smallest value? (a) -4 (b) 0.1 (c) 4 (d) -0.1 (e) -2/11 (f) 3 (g) 880752
f
What is the biggest value in 103, -23, 0.07, 1, 4/41?
103
What is the second biggest value in -0.2, 193, -4, -129, 2/45, -0.4, -0.3?
2/45
Which is the fourth smallest value? (a) 4 (b) 1/2 (c) 1/5 (d) -18 (e) -1 (f) -0.3 (g) 132/7
c
What is the third smallest value in 0.1844, 1/3, -4, -886, -14?
-4
Which is the sixth smallest value? (a) 8 (b) 1 (c) 244 (d) 2 (e) 0.1 (f) 34
c
Which is the smallest value? (a) 14.88 (b) -5 (c) 0.015 (d) -1 (e) -0.2
b
What is the third biggest value in -4, -56200/7, 3?
-56200/7
What is the third biggest value in 54, 6, 1/3, -1.29019?
1/3
Which is the third smallest value? (a) -0.3 (b) -9/2 (c) 315272
c
What is the fifth smallest value in 3, 1, 2, -10/7, -0.1, 0, 63?
2
What is the second smallest value in 0.4, 0.07719, 2/9, 9?
2/9
What is the biggest value in 13.913, 0.13, -209?
13.913
What is the second smallest value in 1376, -71305, -5?
-5
What is the third biggest value in -24, 0.81883, -16?
-24
What is the second smallest value in 9, 4, 1/3, -12/217, 55?
1/3
Which is the fifth smallest value? (a) -0.1 (b) 1 (c) -1/16 (d) 5 (e) 8 (f) -1.14 (g) 0.5
b
What is the third smallest value in -9/4, 0, -3, -31155?
-9/4
What is the smallest value in 1/3, -109, -3/4, -19, -2, 3, -6?
-109
Which is the second biggest value? (a) 63 (b) -1 (c) 12/13 (d) 1 (e) 0.3 (f) 4
f
What is the sixth smallest value in 2, 31252, -0.2, 1, -2/43, -3, 0.4?
2
What is the biggest value in 3, 1, -2/23, 26.23085, -2?
26.23085
Which is the third smallest value? (a) 3 (b) 0.2 (c) -5 (d) -0.056 (e) -96 (f) 0 (g) -3
g
What is the smallest value in 10.474, -0.13, -2/9, 1, 2/3?
-2/9
Which is the second biggest value? (a) -11 (b) 0.116 (c) -17 (d) -1/5
d
Which is the smallest value? (a) -1/3 (b) 3/4 (c) 2/5 (d) 0.103 (e) -0.51 (f) 33
e
What is the smallest value in -141, -80.9, 2/5, -3?
-141
What is the third biggest value in 3/158, 3, -205?
-205
What is the third smallest value in 0, 7.8, -65787?
7.8
What is the biggest value in 9776/53, -0.3, 4, 2?
9776/53
Which is the second smallest value? (a) 1/13 (b) 23/2 (c) -12/5 (d) -2 (e) -6 (f) -4/5
c
What is the third biggest value in -12, -3415815, 0.3, 2?
-12
What is the biggest value in 184, 0, -4/5, -311?
184
Which is the fourth biggest value? (a) 1 (b) 3 (c) 2 (d) 0.018 (e) 2/6441
d
Which is the biggest value? (a) 0 (b) 785 (c) -3/4 (d) -0.2 (e) 2/15 (f) -11 (g) -2/3
b
What is the fourth smallest value in 6, -2/5, -33, 0.51, 0.8, 36?
0.8
Which is the third smallest value? (a) 16688 (b) -1/5 (c) 0 (d) 12/329
d
What is the sixth smallest value in 51, 3/5, -15, -3/40, -8, 2, 0.5?
2
Which is the biggest value? (a) -0.3 (b) -3 (c) 193 (d) -13/2480
c
Which is the fourth smallest value? (a) 54 (b) -3/2 (c) -1 (d) -1/53076
a
What is the sixth biggest value in 0.4, -1/5, 5, 0.2, -0.22, 1006?
-0.22
Which is the third biggest value? (a) 1 (b) -2/125 (c) 109 (d) -3
b
Which is the fifth biggest value? (a) -0.3 (b) 5 (c) 0 (d) -0.9 (e) -1/2 (f) -1.673
d
Which is the sixth biggest value? (a) 7/3 (b) -1/8 (c) -30 (d) 2/5 (e) -1 (f) 2
c
What is the sixth smallest value in -172, 0, -2/27, -3/5, -3/11, 128?
128
What is the second biggest value in -1, -911, -413?
-413
Which is the fi | {
"pile_set_name": "DM Mathematics"
} |
1679?
1959
What is the next term in -121, -135, -183, -283, -453?
-711
What is the next term in 28, -12, -82, -188, -336, -532, -782, -1092?
-1468
What comes next: -153, -145, -147, -165, -205, -273?
-375
What is the next term in -204, -401, -586, -753, -896, -1009?
-1086
What comes next: 110, 215, 308, 383, 434, 455, 440?
383
What is next in 2, -57, -114, -169?
-222
What is next in 522, 516, 510, 504, 498?
492
What is the next term in -10, 104, 294, 560?
902
What is next in 6, 22, 38?
54
What comes next: 52, 51, 34, -5, -72, -173, -314, -501?
-740
What is the next term in -7, 15, 55, 119, 213, 343, 515, 735?
1009
What comes next: 29, 70, 111, 152, 193, 234?
275
What is next in 16, 25, 28, 19, -8, -59, -140, -257?
-416
What is the next term in -4954, -4949, -4942, -4933, -4922, -4909, -4894?
-4877
What comes next: 234, 505, 774, 1041, 1306?
1569
What is next in 1499, 1491, 1469, 1427, 1359, 1259?
1121
What is next in 2, 6, 12, 20, 30?
42
What is the next term in -75, -166, -275, -408, -571, -770, -1011, -1300?
-1643
What comes next: 20, 27, 38, 53?
72
What is the next term in 25325, 25326, 25327, 25328, 25329?
25330
What is the next term in -349, -343, -335, -325, -313, -299, -283?
-265
What is next in 1467, 1465, 1463, 1461?
1459
What comes next: -2, 37, 106, 205, 334, 493?
682
What comes next: 1188, 2373, 3558, 4743, 5928, 7113?
8298
What is next in 12417, 12418, 12427, 12450, 12493, 12562, 12663, 12802?
12985
What is the next term in -2, 28, 120, 304, 610, 1068, 1708?
2560
What comes next: 15, 38, 67, 102, 143, 190?
243
What is next in 2526, 2571, 2618, 2667, 2718, 2771?
2826
What is next in 33, 66, 103, 144, 189?
238
What is the next term in 20, 68, 116, 164, 212, 260?
308
What is next in 1042, 1050, 1062, 1078, 1098, 1122, 1150?
1182
What is the next term in 66, 40, 14, -12, -38?
-64
What comes next: -80, -99, -128, -173, -240, -335, -464?
-633
What comes next: 170, 187, 218, 269, 346, 455, 602?
793
What comes next: 455, 456, 457?
458
What is the next term in 70, 126, 186, 244, 294, 330?
346
What is next in -27, -27, -17, 9, 57, 133?
243
What is next in -2005, -4012, -6025, -8044?
-10069
What is the next term in -216, -213, -198, -165, -108, -21?
102
What is next in -27, -24, -21, -18, -15, -12?
-9
What is the next term in -93, -188, -283, -378?
-473
What is next in 18, 24, 34, 48, 66?
88
What is the next term in -68, -139, -210, -281?
-352
What comes next: 38, 51, 62, 71?
78
What is the next term in 143, 516, 1143, 2030, 3183, 4608, 6311, 8298?
10575
What is the next term in 48, 93, 138?
183
What comes next: -95, -88, -77, -62?
-43
What is the next term in 43, 75, 109, 145?
183
What is the next term in -423, -442, -475, -528, -607, -718, -867?
-1060
What is the next term in 501, 1001, 1495, 1983, 2465, 2941, 3411?
3875
What is the next term in 29, 74, 153, 284, 485, 774, 1169, 1688?
2349
What is the next term in -36, -145, -326, -579, -904, -1301?
-1770
What is the next term in -647, -1290, -1931, -2570, -3207, -3842?
-4475
What is next in 12, -45, -116, -207, -324, -473?
-660
What comes next: 6638, 6632, 6616, 6584, 6530?
6448
What comes next: 58, 54, 40, 10, -42, -122?
-236
What is next in 104, 200, 310, 440, 596, 784, 1010, 1280?
1600
What is the next term in 5, -22, -77, -172, -319, -530, -817, -1192?
-1667
What is next in 66, 119, 172, 225, 278, 331?
384
What is the next term in 163, 164, 165, 166, 167?
168
What is the next term in -70, -137, -204, -271?
-338
What is next in -19307, -19305, -19301, -19295?
-19287
What is the next term in 7, 14, 19, 22, 23?
22
What is next in -113, -171, -217, -245, -249, -223, -161?
-57
What comes next: -35, -82, -141, -212, -295, -390?
-497
What comes next: 2289, 4579, 6871, 9165?
11461
What is next in -232, -234, -232, -220, -192, -142?
-64
What comes next: -5139, -10289, -15451, -20631, -25835, -31069, -36339?
-41651
What is next in -19, -42, -77, -124, -183?
-254
What is the next term in 93, 193, 303, 429, 577, 753, 963, 1213?
1509
What is the next term in 55, 257, 601, 1087, 1715, 2485?
3397
What comes next: 165, 323, 479, 633?
785
What is the next term in -634, -632, -630, -628, -626?
-624
What is next in 418, 415, 412, 409, 406, 403?
400
What is next in 26, 21, 4, -31, -90?
-179
What is next in -45, -87, -129, -171, -213?
-255
What comes next: -11110, -22230, -33360, -44506, -55674, -66870?
-78100
What comes next: -99, -97, -95, -93, -91?
-89
What is the next term in -22, -22, -34, -64, -118, -202, -322?
-484
What is next in 39, 63, 105, 171, 267, 399?
573
What is next in -160, -312, -464, -616, -768?
-920
What is next in -479, -480, -481, -482, -483, -484?
-485
What comes next: 185, 184, 181, 176, 169?
160
What is next in 2, 33, 66, 101, 138?
177
What is the next term in 175, 313, 445, 571, 691, 805?
913
What comes next: -27, 70, 241, 492, 829?
1258
What is next in 148, 156, 164, 172?
180
What comes next: 138, 159, 186, 213, 234, 243, 234, 201?
138
What is the next term in -50, -314, -1012, -2360, -4574, -7870, -12464, -18572?
-26410
What is next in 703, 844, 1225, 1966, 3187, 5008?
7549
What is the next term in -21, -32, -39, -42, -41?
-36
What comes next: -36, -37, -44, -63, -100, -161?
-252
What is the next term in -19, -61, -129, -223, -343, -489, -661?
-859
What is next in 289, 570, 851, 1132, 1413, 1694?
1975
What comes next: 19, 65, 115, 169?
227
What comes next: -15, 4, 39, 90, 157?
240
What is the next term in 97, 101, 113, 139, 185, 257?
361
What is the next term in -61, -50, -39?
-28
What is the next term in -24, -11, 6, 27, 52?
81
What is next in 210, 222, 234, 246?
258
What is next in -65, -80, -95, -110, -125?
-140
What is next in -60, -108, -156, -204?
-252
What is the next term in -18, -44, -70?
-96
What is next in 1000, 2000, 3000, 4000?
5000
What is the next term in -13, -11, -9, -7, -5, -3?
-1
What is the next term in 70, 272, 608, 1078, 1682, 2420, 3292?
4298
What comes next: 19, 130, 435, 1030, 2011, 3474?
5515
What comes next: 72, 149, 230, 315, 404, 497?
594
What is next in -191, -193, -195, -197, -199?
-201
What comes next: 816, 819, 824, 831, 840, 851, 864?
879
What is next in -1366, -2731, -4096, -5461, -6826, -8191?
-9556
What is next in 1001, 1984, 2951, 3896, 4813?
5696
What is the next term in -905, -3597, -8083, -14363, -22437?
-32305
What is the next term in 461, 467, 477, 491, 509?
531
What is the next term in 33, 72, 109, 144, 177, 208, 237?
264
What comes next: -172, -346, -520?
-694
What is the next term in 137, 256, 373, 488, 601, 712, 821?
928
What is next in 379, 374, 365, 352?
335
What is the next term in 22, 47, 76, 109?
146
What is the next term in 17, 20, 19, 14, 5?
-8
What is the next term in -4427, -4431, -4437, -4445, -4455, -4467?
-4481
What comes next: 954, 1905, 2854, 3801, 4746, 5689, 6630?
7569
What comes next: -124, -515, -1166, -2077?
-3248
What is next in 3552, 3551, 3550, 3549?
3548
What comes next: 216, 412, 608, 804, 1000, 1196?
1392
What comes next: 515, 1017, 1495, 1937, 2331, 2665?
2927
What is next in -45, -26, -5, 18?
43
What is the next term in -251, -485, -719?
-953
What comes next: -1786, -1787, -1788?
-1789
What comes next: -860, -1721, -2582, -3443, -4304?
-5165
What is the next term in 37, 35, 33, 31, 29, 27?
25
What is next in 56, 189, 402, 689, 1044, 1461, 1934?
2457
What is the next term in 14, 80, 184, 320, 482?
664
What is next in -30, -11, 36, 123, 262, 465, 744?
1111
What comes next: 35, 52, 69, 86, 103?
120
What is next in 451, 902, 1353, 1804, 2255?
2706
What is the next term in 138, 142, 148, 156?
166
What comes next: 46, 76, 126, 196, 286?
396
What is next in -35, -78, -141, -218, -303, -390, -473?
-546
What comes next: -1154, -1129, -1090, -1031, -946, -829, -674, -475?
-226
What is next in -1526, -1534, -1554, -1592, -1654, -1746, -1874?
-2044
What is next in 17, 20, 31, 56, 101, 172, 275?
416
What is the next term in -785, -784, -783?
-782
What comes next: -131, -235, -345, -467, -607?
-771
What is the next term in 59, 125, 199, 287, 395?
529
What is next in 40, 50, 70, 106, 164, 250, 370?
530
What comes next: -16, 37, 136, 287, 496, 769, 1112?
1531
What is the next term in 40055, 40057, 40059, 40061, 40063, 40065?
40067
What comes next: 467, 935, 1405, 1877, 2351, 2827, 3305?
3785
What comes next: -451, | {
"pile_set_name": "DM Mathematics"
} |
, -403, -586?
-b**3 - b**2 + b - 18
What is the g'th term of 70, 357, 1126, 2617, 5070, 8725, 13822?
40*g**3 + g**2 + 4*g + 25
What is the t'th term of -1147, -1148, -1149?
-t - 1146
What is the n'th term of 448, 453, 462, 475, 492, 513?
2*n**2 - n + 447
What is the w'th term of 292, 283, 262, 223, 160, 67, -62?
-w**3 - 2*w + 295
What is the m'th term of 17, 28, 39, 50, 61, 72?
11*m + 6
What is the t'th term of -244, -247, -248, -247?
t**2 - 6*t - 239
What is the j'th term of -584, -586, -588, -590, -592?
-2*j - 582
What is the z'th term of -54, -59, -64, -69, -74?
-5*z - 49
What is the k'th term of -1828, -3658, -5488, -7318?
-1830*k + 2
What is the s'th term of -4, 20, 74, 170, 320?
2*s**3 + 3*s**2 + s - 10
What is the d'th term of 8, -13, -66, -163, -316, -537?
-2*d**3 - 4*d**2 + 5*d + 9
What is the o'th term of -21, -31, -35, -33, -25, -11?
3*o**2 - 19*o - 5
What is the l'th term of -145, -127, -111, -97, -85?
-l**2 + 21*l - 165
What is the j'th term of -60, -114, -168, -222?
-54*j - 6
What is the k'th term of 52, 54, 56, 58, 60, 62?
2*k + 50
What is the y'th term of -2633, -5270, -7907, -10544, -13181, -15818?
-2637*y + 4
What is the r'th term of 27, 26, 25, 24, 23, 22?
-r + 28
What is the o'th term of -46, -99, -238, -505, -942, -1591, -2494?
-7*o**3 - o**2 - o - 37
What is the l'th term of -79, -156, -233, -310, -387, -464?
-77*l - 2
What is the s'th term of 192, 151, 110, 69, 28?
-41*s + 233
What is the k'th term of -322, -329, -348, -385, -446, -537, -664?
-k**3 - 321
What is the y'th term of 406, 806, 1206, 1606?
400*y + 6
What is the b'th term of 101, 200, 299?
99*b + 2
What is the x'th term of -247, -244, -241?
3*x - 250
What is the p'th term of 298, 560, 836, 1132, 1454?
p**3 + p**2 + 252*p + 44
What is the y'th term of -44, -89, -134?
-45*y + 1
What is the p'th term of 297, 594, 891, 1188, 1485?
297*p
What is the p'th term of -162, -620, -1384, -2454, -3830?
-153*p**2 + p - 10
What is the q'th term of -10, -8, 2, 20, 46?
4*q**2 - 10*q - 4
What is the p'th term of -2, -4, -8, -14?
-p**2 + p - 2
What is the l'th term of -535, -526, -531, -556, -607, -690?
-l**3 - l**2 + 19*l - 552
What is the v'th term of 41, 66, 91?
25*v + 16
What is the n'th term of 785, 771, 759, 749, 741, 735?
n**2 - 17*n + 801
What is the n'th term of 3802, 3799, 3796, 3793, 3790?
-3*n + 3805
What is the b'th term of 1232, 2455, 3664, 4853, 6016?
-b**3 - b**2 + 1233*b + 1
What is the q'th term of 137, 128, 119?
-9*q + 146
What is the d'th term of -71, -89, -107?
-18*d - 53
What is the h'th term of -24, -20, -6, 24, 76, 156?
h**3 - h**2 - 24
What is the c'th term of 37, 98, 199, 340, 521, 742?
20*c**2 + c + 16
What is the s'th term of -5, -44, -117, -230, -389, -600, -869?
-s**3 - 11*s**2 + s + 6
What is the d'th term of 99, 70, 21, -48, -137, -246?
-10*d**2 + d + 108
What is the g'th term of -30, -39, -44, -45, -42, -35?
2*g**2 - 15*g - 17
What is the a'th term of 4104, 4116, 4136, 4164?
4*a**2 + 4100
What is the g'th term of -2, 1, 24, 79, 178, 333, 556, 859?
2*g**3 - 2*g**2 - 5*g + 3
What is the p'th term of 56, 146, 246, 362, 500, 666?
p**3 - p**2 + 86*p - 30
What is the k'th term of -3, -28, -71, -132?
-9*k**2 + 2*k + 4
What is the z'th term of -8, -20, -46, -92, -164, -268, -410, -596?
-z**3 - z**2 - 2*z - 4
What is the w'th term of 79, 143, 209, 277, 347?
w**2 + 61*w + 17
What is the h'th term of -15, -74, -173, -312, -491, -710, -969?
-20*h**2 + h + 4
What is the y'th term of 5, -22, -71, -142, -235, -350?
-11*y**2 + 6*y + 10
What is the l'th term of -53, -54, -45, -26, 3, 42?
5*l**2 - 16*l - 42
What is the s'th term of -90, -86, -82, -78?
4*s - 94
What is the v'th term of -375, -753, -1131?
-378*v + 3
What is the r'th term of -1359, -1357, -1355, -1353, -1351, -1349?
2*r - 1361
What is the r'th term of 27, 85, 241, 543, 1039, 1777, 2805, 4171?
8*r**3 + r**2 - r + 19
What is the v'th term of -39, -41, -45, -51, -59, -69, -81?
-v**2 + v - 39
What is the v'th term of 41, 159, 353, 623?
38*v**2 + 4*v - 1
What is the s'th term of -666, -668, -670?
-2*s - 664
What is the p'th term of -90, -245, -468, -759, -1118, -1545, -2040?
-34*p**2 - 53*p - 3
What is the v'th term of 416, 410, 400, 386?
-2*v**2 + 418
What is the u'th term of 76, 74, 72, 70, 68, 66?
-2*u + 78
What is the g'th term of 5, 1, 11, 47, 121, 245, 431, 691?
2*g**3 - 5*g**2 - 3*g + 11
What is the u'th term of -17, -71, -205, -455, -857, -1447?
-6*u**3 - 4*u**2 - 7
What is the i'th term of 643, 1271, 1899, 2527, 3155, 3783?
628*i + 15
What is the h'th term of -70, -132, -172, -178, -138, -40, 128, 378?
2*h**3 - h**2 - 73*h + 2
What is the f'th term of -72, -108, -182, -306, -492, -752?
-2*f**3 - 7*f**2 - f - 62
What is the i'th term of 16, 86, 284, 676, 1328, 2306, 3676?
11*i**3 - 2*i**2 - i + 8
What is the f'th term of -166, -169, -172, -175, -178, -181?
-3*f - 163
What is the l'th term of 85, 194, 323, 472, 641, 830?
10*l**2 + 79*l - 4
What is the j'th term of -38, -33, -30, -29, -30?
-j**2 + 8*j - 45
What is the d'th term of -63, -282, -673, -1242, -1995, -2938, -4077, -5418?
-d**3 - 80*d**2 + 28*d - 10
What is the w'th term of -8, -23, -70, -167, -332?
-3*w**3 + 2*w**2 - 7
What is the s'th term of -570, -1139, -1708, -2277?
-569*s - 1
What is the b'th term of -12808, -12807, -12806, -12805?
b - 12809
What is the y'th term of -990, -991, -992, -993, -994, -995?
-y - 989
What is the r'th term of 255, 253, 251, 249?
-2*r + 257
What is the r'th term of -30, -122, -280, -510, -818, -1210?
-r**3 - 27*r**2 - 4*r + 2
What is the b'th term of -452, -455, -458, -461?
-3*b - 449
What is the l'th term of -1835, -3671, -5507, -7343?
-1836*l + 1
What is the o'th term of -382, -814, -1256, -1714, -2194, -2702, -3244, -3826?
-o**3 + o**2 - 428*o + 46
What is the n'th term of -337, -661, -985, -1309, -1633, -1957?
-324*n - 13
What is the h'th term of 1355, 1371, 1397, 1433, 1479, 1535, 1601?
5*h**2 + h + 1349
What is the j'th term of -1121, -1120, -1119, -1118, -1117, -1116?
j - 1122
What is the l'th term of -17, -63, -127, -203, -285, -367, -443?
l**3 - 15*l**2 - 8*l + 5
What is the k'th term of -6885, -13771, -20657, -27543, -34429, -41315?
-6886*k + 1
What is the m'th term of -163, -320, -477?
-157*m - 6
What is the l'th term of 263, 560, 867, 1190, 1535, 1908, 2315, 2762?
l**3 - l**2 + 293*l - 30
What is the z'th term of 297, 285, 273, 261?
-12*z + 309
What is the c'th term of -9, 68, 193, 360, 563, 796, 1053?
-c**3 + 30*c**2 - 6*c - 32
What is the f'th term of 419, 796, 1147, 1466, 1747, 1984, 2171, 2302?
-f**3 - 7*f**2 + 405*f + 22
What is the y'th term of 8, 31, 92, 209, 400?
3*y**3 + y**2 - y + 5
What is the q'th term of -972, -971, -970, -969?
q - 973
What is the t'th term of -57, -109, -161?
-52*t - 5
What is the p'th term of -28, -31, -34, -37, -40, -43?
-3*p - 25
What is the l'th term of -24, -105, -328, -765, -1488, -2569?
-12*l**3 + l**2 - 13
What is the t'th term of -19, -48, -117, -244, -447?
-3*t**3 - 2*t**2 - 2*t - 12
What is the w'th term of 0, -13, -26, -39, -52?
-13*w + 13
What is the t'th term of -238, -258, -290, -340, -414?
-t**3 - 13*t - 224
What is the o'th term of -5, -35, -127, -311, -617, -1075, -1715, -2567?
-5*o**3 - o**2 + 8*o - 7
What is the x'th term of -95, -432, -987, -1754, -2727, -3900, -5267?
x**3 - 115*x**2 + x + 18
What is the q'th term of -11, 28, 67, 106?
39*q - 50
What is the j'th term of 40, 319, 1056, 2479, 4816, 8295, 13144, 19591?
38*j**3 + j**2 + 10*j - 9
What is the c'th term of 593, 1186, 1789, 2408, 3049, 3718, 4421, 5164?
c**3 - c**2 + 589*c + 4
What is the j'th term of -977, -1953, -2929, -3905?
-976*j - 1
What is the c'th term of 434, 429, 426, 425, 426, 429?
c**2 - 8*c + 441
What is the b'th term of 422, 413, 402, 389, 374, 357?
-b**2 - 6*b + 429
What is the v'th term of 1098, 1105, 1112, 1119?
7*v + 1091
What is the n'th term of 30, 46, 62, 78, 94?
16*n + 14
What is the g'th term of 188, 380, 572?
192*g - 4
What is the g'th term of 46, 269, 852, 1975, 3818, 6561?
30*g**3 + 13*g + 3
What is the p'th term of -112, -118, -124, -130, -136?
-6*p - 106
What is the p'th term of -6, -15, -48, -117, -234, -411, -660?
-2*p**3 + 5*p - 9
What is the t'th term of 11, 24, 37, 50, 63?
13*t - 2
What is the v'th term of 14, 60, 134, 230, 342, 464, 590, 714?
-v**3 + | {
"pile_set_name": "DM Mathematics"
} |
. Suppose -u = 4*k, k = 2*y - 89 - 39. Is 17 a factor of y?
False
Is (1022 - -1) + 1*(-6 - (12 + -19)) a multiple of 32?
True
Suppose 4*u - 3*l = 290, 0 = -2*l + 4*l + 4. Suppose 5*r = 3*i + 53, -5*i + 0*i = -4*r + u. Let t(v) = -9*v - 58. Is 14 a factor of t(i)?
False
Is (2 - 3)/((-2)/4989*(-24)/(-80)) a multiple of 202?
False
Let z be -3*10/8 - 12/(-16). Does 10 divide (z - -1)/(1/(-225))?
True
Let k(r) = 18*r**2 + 223*r + 691. Is k(-3) a multiple of 8?
True
Suppose 18*v + 2*r + 29040 = 23*v, -2*v + 11616 = 3*r. Is 16 a factor of v?
True
Let g(v) = -33*v + 19. Let d = -69 - -56. Does 64 divide g(d)?
True
Let b(l) be the second derivative of 3*l**5/20 - 5*l**4/4 - l**3/2 - 23*l**2/2 - 25*l. Does 50 divide b(7)?
True
Let m(w) = -14*w - 10 + w**3 + 8*w**2 + 4 - 8*w**2. Let t be m(4). Suppose t*c + 432 = 20*c. Does 8 divide c?
True
Let z = -140 - -145. Suppose 0 = -2*f - u + 17, -z*f + 2*f - u + 25 = 0. Does 8 divide f?
True
Let c = 15843 + -5435. Does 89 divide c?
False
Let k be 55/(-3)*(16 + -10). Let o = 96 + k. Let u = 23 - o. Is 3 a factor of u?
False
Suppose -70 = 5*k - 7*k. Suppose k = -f + 6*f. Let b = f - -80. Is b a multiple of 20?
False
Suppose 0 = -12*n + 13*n - 4909. Does 57 divide n?
False
Suppose 5*z - 108 = 67. Suppose -g - 6 = -z. Does 2 divide g?
False
Suppose 29*s = -36*s + 67340. Is 8 a factor of s?
False
Let i(h) = -146*h + 164. Let n be i(-6). Let p = n + -698. Is p a multiple of 57?
True
Let b = 3315 + -2783. Is b a multiple of 19?
True
Let y = 51 - 192. Is 10 a factor of y*(-15)/6*2/3?
False
Suppose -3*o - s + 62 = 0, 3*o + 0*s - 42 = 3*s. Let f(c) = -c**2 + 7*c + 8. Let r be f(8). Let x = o - r. Does 2 divide x?
False
Let y = 10675 - -1130. Does 15 divide y?
True
Let r(h) = -h**3 + 6*h**2 + 3*h + 1. Let b = 91 - 83. Suppose b*m + 4 = 36. Is r(m) a multiple of 4?
False
Is (-2 - -3538) + 26 + -21 a multiple of 134?
False
Let o(n) = 10*n**2 + 3*n + 31. Let j(w) = 2*w**2 + 2. Let x(f) = -4*j(f) + o(f). Is x(-27) a multiple of 40?
True
Let a = 3594 - 3443. Is a even?
False
Let x = -19 - -19. Suppose 4*q - 3*q + q = x. Suppose -2*v + 5*t = -q*v - 91, t = -5. Is v a multiple of 11?
True
Suppose 4*d - 305 = -3*i, 4*i - 3*d - 219 = 221. Suppose -546 = 167*r - 125*r. Let m = r + i. Does 31 divide m?
False
Suppose 2*f + 19975 = 3*t, -f + 24084 = 5*t - 9238. Is t a multiple of 50?
False
Let j(f) = 765*f**2 - 29*f + 103. Is j(3) a multiple of 113?
False
Suppose n - 409 = -2*f + 859, -2*f + n + 1272 = 0. Let h be 2/4 + f/10. Suppose 0*v + h = v. Does 4 divide v?
True
Let h = -1276 - -534. Let g = -144 - h. Is g a multiple of 84?
False
Let p be 2*(-1)/1 + -190 - 1. Let r = p + 278. Let v = r + -51. Is v a multiple of 17?
True
Suppose 7714 = 2*w + y - 4*y, 3*y = 3*w - 11565. Is w a multiple of 36?
False
Suppose -21*p = -3146 - 6304. Let t = -96 + p. Does 19 divide t?
False
Suppose -i - 7 = 0, 286*i - 46582 = -5*y + 282*i. Is y a multiple of 15?
False
Suppose -4*g + 2*h = -0*h + 28, -h + 8 = -g. Let u(n) = -7. Let x(v) = v. Let a(r) = u(r) - 2*x(r). Is a(g) a multiple of 5?
True
Let y(x) = x**3 - 16*x**2 + 16*x + 15. Let z be y(15). Let s be (z/(-9) + 4)*3. Is (-1)/(s/78*-3) even?
False
Let k(d) = 38*d + 6. Let q be k(8). Suppose -g + q = 4*g. Let h = 12 + g. Does 21 divide h?
False
Let j(b) = -3*b**2 - 83*b - 2. Let v(a) = a**2 + 41*a + 3. Let h(x) = -3*j(x) - 5*v(x). Is 26 a factor of h(-13)?
False
Suppose -9*p + 78 = -12. Suppose p*a = 9 + 31. Suppose -a*l + 132 = -3*l. Is 11 a factor of l?
True
Let r = -2095 + 2104. Let l = 4 - -6. Suppose -l*v + r*v = -19. Is 7 a factor of v?
False
Let n = -264 + 262. Does 16 divide (172*n/12)/(3/(-18))?
False
Suppose -5*r = w - 837, 0 = -3*r - r + 16. Suppose 2*n + 5*p = w, -2*p = -7*p - 15. Is n a multiple of 13?
True
Let m(l) = -4*l - 78. Let r be m(-25). Suppose -3860 = -r*c + 17*c. Suppose -a + 3*a = c. Is 56 a factor of a?
False
Let a(o) = o**2 + 2*o + 2. Let c be a(-2). Suppose c*p - 5 = 9. Suppose 509 = p*r - 23. Does 19 divide r?
True
Let r = 32567 - 20055. Does 34 divide r?
True
Let l be (-55)/22*(-88)/10. Let q(k) = 3*k + 1. Let h be q(1). Let s = l + h. Does 13 divide s?
True
Let o be 2*((-3)/3 + (-453)/(-1)). Let r = o - 646. Is 6 a factor of r?
True
Let p(l) = 3*l - 24. Let v be p(11). Does 60 divide 18265/30 - v - (-2)/12?
True
Let k be 4 + 4/20 + 1/(-5). Suppose -20 = -k*s, s + 2 + 293 = -5*g. Let b = g - -96. Does 12 divide b?
True
Let r be 14/(-3)*12 - 1. Is 13 a factor of ((-463)/(-6))/(-3 + r/(-18))?
False
Suppose -8*g + 4*g = -128. Suppose -31*o = -g*o + 73. Is 8 a factor of (6/2)/(-1) + o + 2?
True
Let a(r) = 6*r**2 + 36*r. Let o be a(-8). Let d = -24 + o. Is d a multiple of 23?
False
Let t be (12 - 2) + -2 - (9 - 6). Suppose -t*m + 12*f = 13*f - 3220, 3*m - 1930 = -f. Is m a multiple of 15?
True
Suppose 3*w - 8*w = -75. Suppose -2*u + 304 = -4*i, 0 = 6*i - 3*i - w. Suppose 6*j - 3*j = u. Is 18 a factor of j?
True
Let f(u) = u**2 - 4*u + 4. Let m(t) be the first derivative of -t**3/3 + 2*t**2 - 4*t + 12. Let l(v) = 4*f(v) + 3*m(v). Is l(6) a multiple of 16?
True
Let a(n) = -n**2 - 49*n - 218. Let m be a(-44). Let s be (-16)/(-7) - 4/14. Is (-22)/(-2) + s/m a multiple of 2?
True
Let f(h) = h**3 - h**2 - 2*h + 4. Let n be f(2). Suppose -b - 597 = n*u - 0*u, 300 = -2*u - 2*b. Is 33 a factor of (-7 - 1)*(-4 - u/(-4))?
True
Let l(g) = g**2 + 3*g + 4. Let x be l(-3). Suppose x*k - 868 = -4*h, 15*k = 10*k - 15. Is 4 a factor of h?
True
Let z = 1191 + 1574. Suppose 461 - z = -4*p. Is 64 a factor of p?
True
Suppose -32*n = -27*n - 465. Let i = n + -59. Let h = i + 45. Does 18 divide h?
False
Suppose 5*b - 3*b - 120 = 0. Let k = b - 64. Is k/22 + 5290/55 a multiple of 24?
True
Let m = 16184 + -9564. Is 60 a factor of m?
False
Suppose 3*g = 4*r - 19 - 9, -5*g = 20. Suppose -n = -4*w + 2*n + 129, w - 45 = 5*n. Suppose -m = -z + m + 1, -5*m + w = r*z. Is 4 a factor of z?
False
Suppose 0 = 20*z - 3*z - 34. Suppose 5*t - 6*x + 5 = -z*x, -2*x = t + 15. Does 14 divide (-115)/(8/t - (-27)/45)?
False
Suppose -60 = -k + 36*q - 38*q, -4*k + 240 = 2*q. Is 4 a factor of k?
True
Let u = -94 - -133. Let k(x) = -u*x**3 + x**2 - 94*x + 44*x + 51*x. Is 5 a factor of k(-1)?
False
Suppose 5*t = -5*x - 35, -6*x + 3*x = -3*t - 45. Does 28 divide (-33)/t*(-280)/(-3)?
True
Suppose -r - 4*w + 1874 = -356, 0 = -5*r - 3*w + 11133. Is r a multiple of 28?
False
Let z(n) = -459*n**3 + n**2 + 2. Let x be z(-2). Let m = x - 1206. Suppose 0 = -13*v - 15 + m. Is v a multiple of 27?
True
Let l(q) be the third derivative of q**6/120 + q**5/12 - 7*q**4/24 + q**3 - 9*q**2. Let y be l(6). Suppose m = 5*m - y. Does 15 divide m?
True
Suppose 8*o = 278 + 690. Suppose -5*i - 306 = -w + 29, 3*w = 2*i + o. Let y = i + 154. Is 4 a factor of y?
False
Let w(g) = -48*g + 7527. Is w(-108) a multiple of 19?
True
Let d(b) be the second derivative of b**5/20 + b**4 + 3*b**3 + 28*b**2 - 80*b. Does 7 divide d(-8)?
True
Suppose -3*i - 984 = -3*f, -4*f + 1336 = -4*i + 8*i. Let t = -123 + -12. Let j = t + f. Is j a multiple of 12?
False
Suppose -l = 7*l - 8408. Suppose -l = -3*o + 5*f, 5*o = -3*f + 945 + 750. Does 33 divide o?
False
Suppose 3*t - 12653 = -i, 4*i + 10*t = 9*t + 50645. Is 20 a factor of i?
False
Let d = 29 + -17. Suppose 7*z = 3*z + d. Suppose n - 164 = -z*n. Is n a multiple of 3?
False
Let k = 1435 - 851. Let p = k - 388. Does 10 divide p - (-1 + (-20)/(-4))?
False
Let c(u) = u**2 - 24*u - 103. Let l be c(28). Suppose -141 = l*f - 2508. Does 62 divide f?
False
Let m(n) = 3*n**2 - 5*n - 2. Let i(g) = -g**2 - 2*g + 2. Let j be i(0). Let t be m(j). Suppose -y = -5*s + 2 - 62, t = -5*y + 2*s + 208. Is y a multiple of 10?
True
Suppose -2*g + 2 = -2. Suppose 707 = g*c - 61. Does 22 divide c?
False
Suppose -r + 5*v + 5 = 4*r, 6 = 4*r - 3*v. Is (-1)/r - 50442/(-126) a multiple of 28?
False
Let b(h) = 3*h**3 + 279*h**2 + 317*h + 170. Is 149 a factor of b(-91)?
True
Suppose 2*g + 5*t = 31, 4*t - 5 = 15. Let w(h) = 13*h - 25. Let j(q) = 6*q - 13. Let n(v) = g*w(v) - 7*j(v). Is 15 a factor of n(0)?
False
Let i be (768/24)/(-1 - (-10)/8). Suppose -11*f = -27*f - i. Let z(p) = p**2 + 5*p + 6. Is 15 a factor of z(f)?
True
Let m be (13 - 5) + (1 + 0)*4. Let k(r) = -r**2 + 4*r - 25. Let x(f) = -2*f**2 + 7*f - 51. Let w(v) = -5*k(v) + 2*x(v) | {
"pile_set_name": "DM Mathematics"
} |
(q(n)).
-34980*n**2 + 11
Let s(l) = -1227 + 13*l + 1227. Let m(q) = 27*q. Let g(j) = 4*m(j) - 9*s(j). Let r(i) = -4*i. Calculate r(g(h)).
36*h
Let v(c) be the second derivative of 13*c**5/60 - 3*c**2 + 7*c. Let l(p) be the first derivative of v(p). Let z(a) = -a. What is z(l(h))?
-13*h**2
Let c(r) = -962*r**2 - 4. Let b(k) = 3*k. Calculate b(c(u)).
-2886*u**2 - 12
Let a(w) = -17*w. Let z(j) = -37*j. Let y(p) = 13*a(p) - 6*z(p). Let c(o) be the third derivative of -7*o**4/24 + 2*o**2. Give y(c(u)).
-7*u
Let i(s) = -48*s**2. Let z(a) = -230797 + 230797 + 5*a**2. What is i(z(h))?
-1200*h**4
Let f(a) be the third derivative of 0*a + 0*a**4 - 1/120*a**5 + 3*a**2 + 0 + 5/6*a**3. Let i(m) be the first derivative of f(m). Let g(h) = 6*h. Give g(i(b)).
-6*b
Let d(b) = -10*b + 404. Let r be d(40). Let z(v) be the third derivative of 0*v**3 + 9*v**2 + 0 + 0*v - 1/24*v**r. Let y(s) = 3*s**2. What is z(y(l))?
-3*l**2
Let i(q) = 4*q. Let v be (-112)/(-3) - 2/6. Let h be 38/76 - 18/(-4). Let t(c) = -4*c - v + 37 + h*c. What is t(i(u))?
4*u
Let m(k) = 28*k**2 + 18*k**2 - 48*k**2. Let x(y) = 351*y. Calculate x(m(c)).
-702*c**2
Suppose 2*q + 3*q + 55 = 0. Let s = q - -13. Let p(l) = -2*l**s - 26*l + 26*l. Let x(y) = -3*y**2. Give x(p(v)).
-12*v**4
Suppose -4*t + 5*s = -2541, 4*s + 146 = -t + 776. Let l(w) = -t*w + 634*w + 6*w**2. Let a(y) = 8*y. Let g(m) = -m. Let x(d) = -2*a(d) - 18*g(d). Give x(l(u)).
12*u**2
Let z(u) = -3*u + 19. Let q(s) be the first derivative of s**3/3 + 95. Calculate q(z(j)).
9*j**2 - 114*j + 361
Let f(y) = -2*y. Suppose -3*l + 5*h - 5 = 2*l, -5*l - 3*h = -35. Suppose 2*x - l = 4. Let q(v) = -4*v**2 + 7*v**2 + x*v**2. Calculate f(q(g)).
-14*g**2
Let k(a) = a**2. Let v(s) = -338047*s**2. What is k(v(p))?
114275774209*p**4
Let v(f) = -f. Let a(s) be the third derivative of 53*s**4/12 + 304*s**2. What is a(v(q))?
-106*q
Let s(a) = -67449*a. Let c(o) = 5*o + 8. Determine s(c(q)).
-337245*q - 539592
Suppose -5 = 3*b - q, 5 = 2*b - 24*q + 25*q. Let f(a) be the second derivative of -12*a + 0 + b*a**2 + 1/3*a**3. Let k(j) = 2*j**2. What is k(f(r))?
8*r**2
Let u(i) = -10*i. Let c(v) = -2*v**2 - 8*v + 51. Calculate u(c(k)).
20*k**2 + 80*k - 510
Let s(h) = -132*h. Let k(z) be the third derivative of z**5/60 + 3*z**2 + 20*z. Calculate s(k(x)).
-132*x**2
Let v(l) = l + 26619. Let t(q) = -2*q. Give t(v(f)).
-2*f - 53238
Let y(a) = 2*a**2 - 9*a. Let d(f) = f**2 - 4*f. Let o(q) = 9*d(q) - 4*y(q). Let p(k) = k**2 - k**2 + k**2 + k**2. What is p(o(m))?
2*m**4
Let h(x) = -18*x. Let d(t) be the third derivative of -13*t**5/60 + 223*t**2. Determine h(d(c)).
234*c**2
Let l(v) = 2*v**2. Let x(y) be the first derivative of -28 + 0*y**2 - 4/3*y**3 + 0*y. What is l(x(j))?
32*j**4
Let u(t) = -12*t. Let s(r) be the second derivative of r**4/24 - 5*r**2 + 7*r. Let l(g) be the first derivative of s(g). Calculate l(u(q)).
-12*q
Let y(p) = 88*p**2 - 89*p**2 + p - p. Let d(h) = 65*h + 2. Give d(y(w)).
-65*w**2 + 2
Let z(h) = 16*h - 10*h + 4*h + 13*h. Let u(j) be the second derivative of j**3/3 + 13*j. Give z(u(r)).
46*r
Let y(k) = 0*k - 12 - 11 + 28 + k - 13. Let s(f) = 2*f. What is y(s(n))?
2*n - 8
Let x(v) be the third derivative of v**7/2520 - v**5/5 - 10*v**2. Let f(r) be the third derivative of x(r). Let b(a) = 2*a**2. Give f(b(d)).
4*d**2
Let q(g) be the first derivative of 31*g**3/3 + 6*g + 9. Let b(j) = -30*j**2 - 5. Let n(w) = -6*b(w) - 5*q(w). Let d(z) = z. Calculate n(d(a)).
25*a**2
Let v(o) = 11*o**2 + 10*o + 5. Let s(b) = 18*b**2 + 16*b + 8. Let w(l) = -5*s(l) + 8*v(l). Let g(h) = -59*h**2. Determine g(w(k)).
-236*k**4
Let p(i) = -21*i**2. Let l(n) = 4*n**2. Let c(d) = -11*l(d) - 2*p(d). Let t(g) = -61*g + 306*g**2 + 61*g - 295*g**2. Calculate t(c(x)).
44*x**4
Suppose -d = -4*m + 2, -m - 5 + 3 = d. Let j(f) be the third derivative of -1/12*f**4 - 7*f**2 + 0 + m*f + 0*f**3. Let u(x) = -x**2. Determine u(j(o)).
-4*o**2
Let y(g) = -772*g**2. Let t(i) = -57*i**2. What is t(y(u))?
-33971088*u**4
Let c be 0/(7*16/56). Let b(o) be the second derivative of 0*o**3 + 0*o**2 + 7*o + c - 1/12*o**4. Let t(f) = 2*f. Calculate t(b(r)).
-2*r**2
Let m(a) be the first derivative of 4*a**3/3 - 1. Let y(w) be the third derivative of 0 + 6*w**2 - 1/24*w**4 + 0*w + 0*w**3. Determine y(m(h)).
-4*h**2
Let a(w) = -3*w**2 + 3*w - 1787. Let g(f) = -7*f. What is a(g(m))?
-147*m**2 - 21*m - 1787
Let b(f) = 351330*f**2. Let r(q) = -5*q. Determine b(r(d)).
8783250*d**2
Let c be 51/12 - 1/4. Suppose -c*f + 11 = 3, -35 = -5*b + 5*f. Let z(v) = 9 - b - 2*v. Let d(q) = -5*q**2. Give z(d(k)).
10*k**2
Let k be 6 + (1/1)/(-1). Suppose -16 = 2*d + k*z, -2*d + 2*z + 7 + 5 = 0. Let l(y) = 2*y**2 - y**2 - 2*y**d. Let h(o) = -o**2. Determine h(l(j)).
-j**4
Let t(q) = 2*q + 20*q**2 - 2*q - 24*q**2. Let x(o) = -7*o. Determine x(t(f)).
28*f**2
Let k(p) = -2*p + 57. Let d(f) = -108*f. What is k(d(n))?
216*n + 57
Let w(a) = -a. Let d(m) = -24*m - 13*m + 25*m + 14*m**2 + 16*m - 14*m. Determine d(w(v)).
14*v**2 + 10*v
Let c(m) = -2*m + 85. Let i(g) = g - 2*g + 3*g - 336 + 336. Calculate c(i(f)).
-4*f + 85
Let v(l) be the first derivative of 16*l**2 - 46. Let g(m) = -24*m**2. What is v(g(q))?
-768*q**2
Let p(i) be the second derivative of i**7/840 + 3*i**4/4 - 15*i. Let h(r) be the third derivative of p(r). Let n(v) = 2*v. Give n(h(t)).
6*t**2
Let b(a) = 71*a**2 + 24639*a - 24641*a + 4 - 4. Let s(c) = 3*c**2. Determine b(s(r)).
639*r**4 - 6*r**2
Let z(j) = -j. Let g(o) be the second derivative of 0 + 0*o**2 - 7/2*o**3 + 15*o. Determine z(g(u)).
21*u
Let l(p) = -19*p**2 - 2. Suppose -2*v + 2*u - 8 = 0, 0*v = -5*v - 5*u. Let o(x) = 303*x**2 + 33. Let f(k) = v*o(k) - 33*l(k). Let d(a) = -a. Determine d(f(w)).
-21*w**2
Let q(y) be the first derivative of -y**2 - 203. Let d(k) = -7*k - 3. Calculate d(q(g)).
14*g - 3
Let g = 110 - 106. Let s(r) be the second derivative of 0 + 0*r**2 - 5/6*r**g + 5*r + 0*r**3. Let y(z) = 2*z**2. Calculate s(y(p)).
-40*p**4
Let x(z) = -12*z. Let i be ((-2)/4)/(3/(-66)). Suppose 0 = -2*o - 3*o - 2*r + 16, 0 = -4*o - r + i. Let f(l) = o*l**2 - 3*l + 0*l + 3*l. Give x(f(t)).
-24*t**2
Let k(c) = -156*c. Let s(l) = 17*l**2 - 56. What is k(s(o))?
-2652*o**2 + 8736
Let r(a) = -5*a + a - 4*a + 3*a + a. Let q(w) = 6*w**2 - 5*w + 5. Let g(h) = 5*h**2 - 4*h + 4. Let l(m) = -5*g(m) + 4*q(m). Give r(l(x)).
4*x**2
Let l(p) = -1. Let b(h) = -h + 6. Let m(x) = x**2 - 10*x + 12. Let i be m(9). Suppose 0*j = -i*j + 18. Let v(f) = j*l(f) + b(f). Let c(y) = -10*y. Give c(v(g)).
10*g
Suppose 1824 = w - 4*v, -v = 2*w - 2859 - 816. Let l(b) = -1836 + b + w. Let c(j) = 4*j**2. Calculate c(l(y)).
4*y**2
Let d(y) be the second derivative of -314*y**3/3 - 210*y. Let u(k) = k. Give u(d(q)).
-628*q
Let c(a) be the first derivative of -a**3/2 - 4*a - 4. Let g(v) be the first derivative of c(v). Let h(x) = x + x + 2 - 2. Give h(g(i)).
-6*i
Let l(s) = s**2 - 2*s. Let f(q) = 2*q**2 - 5*q. Let a(z) = -6*f(z) + 15*l(z). Let v(t) = 31*t. What is v(a(n))?
93*n**2
Let n = 12 + -9. Suppose 7*c = 6*c + n. Let k(o) = -o - o + 3*o - c*o. Let x(l) = 14*l. Calculate x(k(i)).
-28*i
Let i(z) = -z**2. Let b(k) be the second derivative of -17*k**3/6 + k**2 - 220*k. Calculate b(i(d)).
17*d**2 + 2
Let r(w) = w + 2277. Let q(u) = 27*u**2. Determine r(q(l)).
27*l**2 + 2277
Let q(u) = 3*u**2. Let c(f) = -51*f - 68. Determine c(q(h)).
-153*h**2 - 68
Let l(r) = 4*r**2 + 3*r - 3. Let b(w) = 7*w**2 + 5*w - 5. Let q(d) = 3*b(d) - 5*l(d). Let g(y) = -3 + y**2 + 13 - 10. Give g(q(n)).
n**4
Let l(v) = v**2 + 123*v. Let t(a) = -340*a. Give l(t(x)).
115600*x**2 - 41820*x
Let j(s) = 8*s**2 + 9*s**2 - 19*s**2. Let m(r) be the third derivative of -9*r**5/20 + 3*r**2. Calculate m(j(i)).
-108*i**4
Let n(t) = -2*t - 2. Let c be n(-3). Let j(v) = 5*v - 3*v - c*v. Let x(w) be the first derivative of -25*w**3/3 - 345. Determine x(j(k)).
-100*k**2
Let x(h) = h + 20. Let v = 23 + 205. Let o(z) = v - 228 - z. Determine x(o(k)).
-k + 20
Let c(l) = l**2 + 15*l + 5. Let o be c(-16). Let j(q) = -q + q + 0*q - o*q**2. Let x(t) = t. Determine x(j(f)).
-21*f**2
Let y(t) = -3*t**2. Let d(x) = 16*x**2 - 3. Let f(h) = 14*h**2 - 2. Let a(l) = 4*d(l) - 6*f(l). What is a(y(o))?
-180*o**4
Let j(s) = -2624512*s. Let m(x) = -2*x**2. Give j(m(r)).
5249024*r**2
Let l( | {
"pile_set_name": "DM Mathematics"
} |
s(g) = -7*g**2 + 400*g + 5234. Let x be s(-11). Let k = -6 + 12. Calculate k*c(m) + x*l(m).
m**2 + 3
Let r(a) = 11*a - 9. Let c(d) = 5*d - 4. Let n be (0 - -8)*(-3)/(-4). Let y be (-81400)/5830 - (-1 + (-110)/(-106)). Determine n*r(p) + y*c(p).
-4*p + 2
Let v(n) = 2 + 4 - 10. Let z(t) = -t - 4. Let o(u) = 3*v(u) - 4*z(u). Let x(w) = 14*w + 12*w + 10 + 17*w - 33*w. What is -12*o(c) + 5*x(c)?
2*c + 2
Let i(n) = -16*n**2 + 24*n - 11. Suppose 59*j - 63*j = -u + 84, -2*j - 5*u - 64 = 0. Let p(m) = 3*m**2 - 5*m + 2. Calculate j*p(c) - 4*i(c).
-2*c**2 + 14*c
Suppose -35 = 5*w - 12*w. Let f(k) = 6*k - k - 6*k**2 + 4*k**2 + w*k**2 + 4. Let h(x) = -4*x**2 - 6*x - 5. Determine -5*f(c) - 4*h(c).
c**2 - c
Let y(n) = 1. Let r(w) = 8*w**3 + 6 - 2 + 0*w**3. Suppose 241*z = -77*z - 318. Determine z*r(g) + 4*y(g).
-8*g**3
Let u(n) = 27*n**3 + 2*n**2 - 5*n + 9. Let v(d) = -25*d**3 - 3*d**2 + 6*d - 12. Let t(o) = -3*u(o) - 2*v(o). Let f(l) = -l + 1. Give -3*f(k) - t(k).
31*k**3
Let k be (1 - 5)*2/4. Let d(i) = -7*i + 2. Let v(m) = 21*m - 7. Suppose -100*s - 84 = -192*s + 104*s. Calculate k*v(t) + s*d(t).
7*t
Let r(k) = 31*k - 3. Let q(n) = 3 - 29*n + 1 + 4 - 63*n. Determine 3*q(o) + 8*r(o).
-28*o
Let t be ((-42)/(-18))/(-4*5/(-60)). Let c(b) = 7*b - 14*b - t*b - 7*b. Let x(w) = 32*w. What is 8*c(a) + 5*x(a)?
-8*a
Let m(t) = -3*t - 11. Let d(s) = 5*s + 16. Let q(l) = -3*l**2 + 5*l + 423. Let i be q(-11). Determine i*d(f) + 8*m(f).
f - 8
Let a = -276 + 284. Suppose -d + 3 = -4. Let q(w) = 2*w + 3 + 2*w - d*w - w. Let r(j) = -j + 1. Give a*r(v) - 3*q(v).
4*v - 1
Let a = 368 - 362. Suppose -a*i - 166 = -184. Let f(x) = 5*x. Let p(u) = -4*u. Give i*f(l) + 4*p(l).
-l
Let o(k) = 17*k**3 + 6*k**2 + 3*k + 517. Let f(v) = 23*v**3 + 8*v**2 + 4*v + 517. What is 3*f(w) - 4*o(w)?
w**3 - 517
Let y(v) = -530*v + 2122. Let j be y(4). Let k(r) = -3*r**3 - r**2 - r. Let n(u) = -11*u**3 - 4*u**2 - 5*u. Calculate j*n(d) - 9*k(d).
5*d**3 + d**2 - d
Let r(l) = -l - 20. Suppose 0 = 151*k - 134 - 168. Let j(a) = -3*a - 79. Calculate k*j(p) - 9*r(p).
3*p + 22
Let w(z) = 2*z**3 - 4*z**2 + 4*z. Let a(y) = 2*y**3 - 3*y**2 + 3*y. Suppose 0 = -12*g - 5 + 17. Let h be (4/(-5))/((-7 + g)/(-30)). Give h*a(q) + 3*w(q).
-2*q**3
Let t(n) be the second derivative of n**5/20 + n**3/6 + 2*n**2 + 243*n. Let q(r) = -3*r**3 - r - 7. Give 3*q(v) + 5*t(v).
-4*v**3 + 2*v - 1
Let q(l) = -8*l**2 - 3. Let d(t) = -1. Let z(f) = -f**2 - 3*f - 1. Suppose -74 = 13*c - 35. Let u be z(c). Give u*q(k) + 3*d(k).
8*k**2
Let d(v) = 954440*v**3 + 2453*v**2 - 103026*v + 2453. Let l(x) = 1557*x**3 + 4*x**2 - 168*x + 4. Calculate -4*d(h) + 2453*l(h).
1561*h**3
Let w(j) = 5*j**3 + 17*j**2 - 17*j + 1011. Let p(b) = b**3 + 4*b**2 - 4*b + 253. What is 17*p(h) - 4*w(h)?
-3*h**3 + 257
Suppose -2*g + 10 = -0. Let k(w) = 15*w + 14*w - 9 - 50*w + 9*w + 6*w. Let c(p) = -3*p - 5. Give g*k(a) - 9*c(a).
-3*a
Let w(h) = 743*h**2 - 20*h + 10. Let y(q) = -1115*q**2 + 32*q - 15. Give -8*w(n) - 5*y(n).
-369*n**2 - 5
Let a(m) = -m - 1. Let w be (-8)/(-6) - 6/18. Let b(g) = 2*g**3 - 144*g**2 - 3*g + 220. Let z be b(72). Let v(y) = 11*y + 2. Determine w*v(d) + z*a(d).
7*d - 2
Let m(s) = -s - 1. Let y(g) = -9*g - 5. Suppose 183 = 2*x + 7. Suppose x = -4*v + 2*v. Let w = -50 - v. Calculate w*m(a) + y(a).
-3*a + 1
Let i(b) = -8*b**3 - 4*b**2 - 6*b - 2. Let d(t) = 15*t**3 + 9*t**2 + 13*t + 5. Give 2*d(v) + 5*i(v).
-10*v**3 - 2*v**2 - 4*v
Let w(q) = -592*q - 10 - 597*q + 1180*q + 9. Let p(l) = l. Let y be (-4)/(-14) + 5/7. Calculate y*w(g) + 3*p(g).
-6*g - 1
Let b(y) = -25*y + 11*y - 891*y**2 + 15*y + 890*y**2 + 1. Let i(x) = 8*x**2 + 6*x + 6. Determine -6*b(v) + i(v).
14*v**2
Suppose 4*s + 5 - 41 = 5*b, 5*b = -s - 41. Let f(k) = -k - 18. Let x(r) = 3*r + 54. Determine b*f(w) - 3*x(w).
-w - 18
Let t(i) be the first derivative of -3/2*i**2 - 6*i - 2/3*i**3 + 29. Let h(j) = -j - 1. Let b be (-4)/(-10) - (-576)/160. Calculate b*h(z) - t(z).
2*z**2 - z + 2
Let y(n) = 5688*n + 17696. Let b(j) = -28. Give -632*b(l) - y(l).
-5688*l
Let r(n) = -8*n**2 + 130*n - 2. Let q(f) = 8*f**2 - 156*f + 2. What is -4*q(t) - 3*r(t)?
-8*t**2 + 234*t - 2
Let g(v) = 21571*v - 319. Let s(l) = 814*l - 12. Calculate 5*g(z) - 132*s(z).
407*z - 11
Let p(i) = -16*i**3 + 13*i**2 - 18*i + 2160. Let n(j) = -7*j**3 + 6*j**2 - 8*j + 1083. Determine 9*n(d) - 4*p(d).
d**3 + 2*d**2 + 1107
Let y(p) = 23*p**2 - 5*p + 5. Let c be -8 + 23 + 42 + (-9 + 0)/3. Let x(q) = 252*q**2 - 54*q + 54. Calculate c*y(v) - 5*x(v).
-18*v**2
Let h = 83 - 78. Suppose 0 = 3*i + y - 2, h*y + 6 = -i + 6*y. Let p(a) = -a. Let n(x) = 2*x - 1. What is i*n(s) - 4*p(s)?
2*s + 1
Let m(w) = -3*w**2 + 3. Let b be (-22625)/(-35) - (-12)/(-28). Let l = b - 648. Let x(v) = 1 + 12 - 1 - 13*v**2. What is l*x(z) + 9*m(z)?
-z**2 + 3
Let x(n) = -7*n**3 - 19*n**2 - 2*n + 1873. Let r(l) = 2*l**3 + 5*l**2. Give 4*r(h) + x(h).
h**3 + h**2 - 2*h + 1873
Let l(t) be the third derivative of 0*t**5 + 0 + 1/30*t**6 + 0*t - 7/24*t**4 - 5/3*t**3 + 146*t**2. Let y(w) = w**3 - 2*w - 3. Determine 2*l(s) - 7*y(s).
s**3 + 1
Let c(z) = -2*z + 0 - 1 + 5*z + z + 0 + 2*z**2. Let a(o) = -o**2 - o + 1. Let m(y) = -6*y - 103. Let g be m(-17). Calculate g*c(q) - 3*a(q).
q**2 - q - 2
Let i(c) = -6*c + 40. Let q(f) = -565 + 1284*f - 1279*f + 525. What is -6*i(g) - 7*q(g)?
g + 40
Suppose v + 6*n = 2*n - 35, 3*v = 5*n - 71. Let m = v + 26. Let u(a) = -a**2. Let z(i) = -i**3 - 2*i**2 - 2*i. Give m*z(o) + u(o).
o**3 + o**2 + 2*o
Let i(w) = -18*w**2 - 16. Let t(c) = -37*c**2 - 36. Calculate 5*i(l) - 3*t(l).
21*l**2 + 28
Let u(j) = -j**2 + j - 1. Suppose -18 = 3*t, -3*t + 5*t + 87 = -5*w. Let i(r) = -3*r**3 - 3*r**2 + 3*r - 3. Give w*u(z) + 5*i(z).
-15*z**3
Let y(c) = c**2 - 402*c + 17. Let w(v) = 3*v + 3. What is 5*w(r) - y(r)?
-r**2 + 417*r - 2
Let s(r) = -r**3 - r**2 - 4*r. Let c(w) = 322*w**3 - 5*w**2 - 20*w - 1. Determine -c(y) + 5*s(y).
-327*y**3 + 1
Let p(s) be the second derivative of s**3/3 - 3*s - 387. Let w(c) = 15*c + 2. Determine 14*p(u) - 2*w(u).
-2*u - 4
Let l(m) = -118*m**2 + 4*m - 27. Let x(g) = -114*g**2 + 4*g - 35. Calculate 4*l(c) - 3*x(c).
-130*c**2 + 4*c - 3
Let g = -33776 + 33787. Suppose 3*b - 2*q = 0, -4*b + 4 = -q + 9. Let z(r) = -r - 8. Let x(s) = -6*s - 41. Calculate b*x(l) + g*z(l).
l - 6
Let v(m) = m**2 - 2*m - 1. Let g(f) = -3*f**2 + 6. Let b(r) = g(r) + 2*v(r). Let n(h) = 2*h**2 + 5 - 2*h - 2 - 3*h**2 - h. Determine -3*b(d) + 4*n(d).
-d**2
Let i(s) = 48*s + 10. Let b(k) be the first derivative of -16*k**2 - 7*k - 854. Calculate 7*b(d) + 5*i(d).
16*d + 1
Let a(n) = 4*n**2 + 7*n + 9. Let i(c) = 3*c**2. Let t(d) = 14*d**2 - d - 1. Let p(g) = -5*i(g) + t(g). Give a(f) + 6*p(f).
-2*f**2 + f + 3
Suppose -7*b + 16 = -3*b. Suppose -2*n + 7*n = q, 0 = 4*q - 5*n - 15. Let x(a) = 6*a + 0*a + a - q - b*a. Let l(t) = 2*t - 4. What is 5*l(w) - 4*x(w)?
-2*w
Let c(b) = -6*b**3 + 2*b**2 - 15*b - 7. Let o(d) = -d - 11*d - 2 + 5*d**3 + 7*d + d**2 - 7*d**3. Calculate -2*c(w) + 7*o(w).
-2*w**3 + 3*w**2 - 5*w
Let y(t) be the second derivative of -t**3 - 3*t**2/2 + 2*t + 4456. Let l(a) = -11*a - 7. What is -4*l(o) + 7*y(o)?
2*o + 7
Let p(l) = 6*l**2 - 2*l - 1. Let y(x) = -15*x**2 + 4*x + 2. Let v(f) = -2*p(f) - y(f). Let s(a) = -a**2. Determine -4*s(w) - v(w).
w**2
Let x(u) = -2*u - 9. Let r(c) = 1302*c - 53. Determine r(l) - 6*x(l).
1314*l + 1
Let o(w) = -w**3 - w**2 - w + 1. Let d(x) = -x**2 - 4*x + 1021. Let s be d(30). Let g(f) = 4*f**3 + 2*f**2 + f - 1. Determine s*g(m) + 2*o(m).
2*m**3 - m + 1
Let t(k) = 9*k**3 - 3*k**2 + 3*k. Let o be (-42)/(-714) - 86/17. Let j(s) = 17*s**3 - 5*s**2 + 5*s. Give o*t(h) + 3*j(h).
6*h**3
Let x(l) = l. Let y(o) = 1 - 7*o + 37*o - 10*o - 12*o - 9*o. Let u be 4/(-2) - (6 - 10). What is u*x(w) + y(w)?
w + 1
Let p(t) = 1929*t + 1616. Let j(o) = 119*o + 101. Determine 33*j(n) - 2*p(n).
69*n + 101
Let i(p) = -1021972*p**2 + 1130. Let n(m) = 3624*m**2 - 4. What is 2*i(h) + 565*n(h)?
3616*h**2
Let t(g) = g + 9. Let s(q) = -387*q + 1539. Let b be s(4). Let j(x) = -x**2 - 4*x - 35. Calculate b*t(h) - 2*j(h).
2*h**2 - h - 11
Let z(w) = -18*w**3 + 4*w**2 - 8396*w. Let b(s) = -22*s**3 + 5*s**2 - 8395*s. Give 4*b(t) - 5*z(t).
2*t**3 + 8400*t
Let p(x) = 9*x + 7. Let n(g) be the second derivative of -g + 13/6*g**3 + 5*g**2 + | {
"pile_set_name": "DM Mathematics"
} |
Let m be h(-14). Solve -m = p + 4*s, 4*p = 2*s + 2*s + 12 for p.
-2
Let y(b) = -4*b - 1. Let i be y(-2). Let x be ((-36)/60)/((-1)/5). Solve -5 = -v, -5*c + i = 4*v - x for c.
-2
Let d(r) = -r**3 + 3*r - 4. Let h be d(-3). Let k(t) = -t**3 - 2*t**2 + t + 2. Let j be k(0). Solve h = -2*q + 5*i, 2*q - 9 = -j*i + 5 for q.
3
Let b be 28/4 - 2*1. Suppose -70 = -b*d + 2*l, -2*d - 2*l = 3*d - 50. Solve 2*p + 2*i - d = 0, 2*p - 3*i + 12 = i for p.
2
Suppose -w = -2 + 8. Let a = -14 - w. Let o be (a - -5)/((-3)/4). Solve -c + 2*u - 4 = -o*c, c - 2*u = -4 for c.
0
Let q = 31 + -31. Suppose 0 = x + 3*b - 4, -4*x + b = 3*b + 34. Let w = 16 + x. Solve -3*y = q, w*m - 5 = -y + 10 for m.
3
Let u(c) = -3 + 2*c + 0 + 4*c - 5*c. Let d be u(7). Solve -12 = -d*t + t, 2*n - 3*t + 22 = 0 for n.
-5
Let z(k) = k - 4. Let i be z(9). Solve i*c + 11 = 2*h - 3, 0 = -4*h - 2*c + 4 for h.
2
Suppose 4*r - 18 = 2. Suppose -3*n + r*j - 4 = -43, 0 = -2*n + 3*j + 27. Solve -2*v = -2*w - n, 0 = -3*v - 7*w + 4*w + 3 for v.
5
Suppose f - 1 = -5*u + 1, -2*f + u - 7 = 0. Let q = 1 - f. Solve 16 = -q*v, -m - 3*m - 20 = 3*v for m.
-2
Suppose -9*n + 168 = -2*n. Solve -n = 7*j - 3*j - 5*v, 3*v - 17 = 5*j for j.
-1
Suppose -5*o + 2*o = -15. Solve -2*q - 9 = -4*r + 13, 2*q + 26 = o*r for q.
-3
Let i = -36 + 38. Solve -10 = -2*z - i*l, 5 = z + 2*l - 0*l for z.
5
Let q(i) = i**2 - 8*i + 11. Let t be 57/6 - 1/2. Let z be q(t). Solve -2*r + 4*r - z = -2*g, 3*r = g + 10 for r.
5
Let l = 1 - -1. Let i be -1*5/(-2)*2. Suppose 6 = 4*a + l, -n + i*a = 1. Solve 0 = 5*c + 20, 0*v - 16 = -n*v + 3*c for v.
1
Let z(a) = a**3 - 14*a**2 + 12*a - 4. Let p be z(13). Let h = p - -25. Solve 2*c - 4 = -q, 4*c = -q + 5*q + h for c.
2
Suppose 5*n + 5 = -0. Let g be (-2 + 1)*3/n. Let l be -2 + -2 + 6 + 1. Solve 2*x - 4*k = -x - g, -15 = -2*x - l*k for x.
3
Let n(u) = u**3 - 13*u**2 + 2*u - 24. Let k be n(13). Solve -d = k*z + 13 - 4, -z - d = 7 for z.
-2
Let p(t) = -t**3 - 6*t**2 - 6*t - 4. Let u be p(-5). Let o = -1 + u. Suppose 15 = 3*r - o*r. Solve -3*z - 5*f = 21, f - 2*f - r = z for z.
-2
Let t = 78 - 69. Solve -f = k + 6, -4*k - f - t = -2*f for k.
-3
Let y be 2/7 - (-270)/(-14). Let q be y/(-4)*(1 - -3). Suppose -3 - 3 = 2*g + 3*z, -g + 5*z + 10 = 0. Solve -b + 5*f + q = g, -2*b + b - 4*f - 8 = 0 for b.
4
Let d be 48/(-40)*40/(-3). Let n = -11 + d. Solve 0 = -n*l + 5, -3*r + l = -0 - 2 for r.
1
Let y = -23 + 27. Solve -f - 5*c + 6 = -1, -14 = -5*f - y*c for f.
2
Suppose 2*z - 16 = -4*j, -4*z - 4*j = z - 28. Solve -r - 2 = -p, -5*p + 2*r + z = -2*p for p.
0
Let f be 4/2 - -4*(-2)/4. Solve 3*x - 4*g - 13 = 0, f = 4*g - 7*g - 12 for x.
-1
Let w(g) = g + 1. Let j be w(-1). Let b(i) = -i**2 + 10*i - 4. Let k be b(8). Let s = 17 - k. Solve m + s*x + 15 = j, -2*m - 15 = -0*m + 5*x for m.
0
Let j(t) = t**2 + 3*t - 3. Let k be j(-5). Solve -4*h = 3*b - 31, h + 3*b = 3*h + k for h.
4
Let x(w) = w**2 + 21*w + 54. Let j be x(-18). Solve -3 = d, -5*b - 2*d - d - 24 = j for b.
-3
Let s = 1 - -4. Suppose 4*y - 32 = -s*k, 0 = 4*k + 4*y - 2*y - 22. Solve 16 = -4*l + 2*i - 0*i, k*l + 3*i + 16 = 0 for l.
-4
Suppose -420 = -0*o - 5*o. Suppose -c + 2*n + o = 3*c, -20 = -5*n. Solve -2*t + c = -3*u - 6*t, 3*u + 21 = -3*t for u.
-5
Let t = -43 - -78. Suppose 0*l - 5*l = 0. Solve 3*u + 3 = -x + 10, -5*u + 3*x + t = l for u.
4
Let j(w) = -4 + 0*w**2 - w**3 + 3*w**2 + 2. Let x be j(2). Suppose x*i - 6 = -i. Solve -m + 22 - i = 4*b, 0 = -4*m + 16 for b.
4
Let b(q) = q**2 - 7*q + 7. Let o be b(6). Suppose 0 = -2*a + 3 - o. Solve 3*j - 2*m - 2 = -j, -2*j - m = a for j.
0
Let k be (-6)/24 + 2/8. Suppose k*t + t + 1 = n, 4*t = -2*n + 26. Solve x + 13 = 2*x + 4*q, 2*q - t = 0 for x.
5
Let a = 10 - 6. Suppose 0 = a*f - 38 - 10. Solve -9 = -3*d + 5*q - 4*q, -4*d + f = -5*q for d.
3
Let k(v) = v + 3. Let w be k(-8). Let g(u) = -3*u + 9. Let t be g(6). Let l = w - t. Solve 2*h - 4 = 0, 0*r - 3*r = -l*h + 14 for r.
-2
Suppose 5*f - 3 = 4*f. Solve -6*k = -2*k + f*s, 4*s = -3*k for k.
0
Suppose 4*v + 29 + 11 = 5*y, 5*v + 29 = y. Let z be y/(-2) + 2 + 7. Solve 5*t + 5*c + 15 = c, 0 = 2*t - c - z for t.
1
Let l = -2 - 1. Let o = l - -5. Solve 5*c + r + o = 8, 2*c - 4 = -2*r for c.
1
Suppose 2*v - 1 = v. Let n = -1 - v. Let y = n + 7. Solve -3*a + 6 = 0, y*o - 11 = -5*a + 2*a for o.
1
Suppose -5*w = 2*h - 7*h - 125, 5*w = 2*h + 134. Suppose -4*y + w = -8. Let m be (-64)/(-36) - (-2)/y. Solve -3*z = g + 8 - 1, m*z = g + 2 for g.
-4
Suppose 2*x + 12 = 3*t, -x - x - 2 = 2*t. Suppose 0 = -0*m - t*m. Solve -4 = -0*w + 3*w + 2*q, 3*w + 5*q + 10 = m for w.
0
Suppose 9 = 3*i - 6. Solve r - 6 = -c, 5*r + 0*r = i*c + 10 for r.
4
Let q = -6 + 18. Solve 0 = 3*n - 2*c - 2*c - q, 5*n - 5*c - 20 = 0 for n.
4
Let w be ((-12)/(-8))/(2/4). Solve -4*t = 2*y - y, w*t - 3*y = 0 for t.
0
Let r be 15 - (4/(-2) - -4). Suppose -r = -3*s + 5. Let y be 3 - (-3 - 0 - -3). Solve s*i - i + 9 = 2*c, -11 = 5*i - y*c for i.
-1
Suppose 3*d - 32 = 4*k - 8, -5*k = d + 11. Let c = 27 - 27. Suppose 5*q = -c*j - d*j + 12, 0 = -5*q + 3*j + 26. Solve 2 = 4*a - 3*y, -q*y = -4*a - 0*y for a.
2
Suppose -3*h + 18 = -0*h. Suppose 0 = -3*c - 2*s + 18, -h*s = -3*c - s + 18. Solve 3*v - 3*p + 5*p + 15 = 0, 5*v = 3*p - c for v.
-3
Let j = -146 - -146. Solve j = -3*c + t - 1, -c + 4 - 7 = -t for c.
1
Suppose 0 = 3*l - 5 - 1, 5*h = 4*l + 2. Suppose -3*q - 23 = 2*s - 7*s, 4*q + 22 = -h*s. Let x = -2 - q. Solve -7*b + 4 = -4*b - a, 0 = -5*b + x*a + 2 for b.
2
Let r be (12/(-4))/(3/(-4)). Let y = 63 + -59. Solve -y*h = -4*m + 10 - 30, 3*h - 8 = -r*m for m.
-1
Let i be 50/(-6) + (-6)/9. Let w be 1 + 0 - (i - -7). Solve 4*x - 6*s + s = 41, w*x + s = 7 for x.
4
Let m be (-2 + -3 + 4)*-1. Suppose 9 - m = 2*s, -2*s + 65 = 3*f. Solve 0 = v - 5*w - f, -2*v + 4*w - w = -10 for v.
-1
Let n(i) = -3*i**2 + 2*i + 4. Let q(l) = 4*l**2 - 3*l - 4. Let f(b) = 3*n(b) + 2*q(b). Let u be f(0). Solve 3*s = u*j + 4*s - 4, 6 = -3*j - 3*s for j.
2
Let p(m) = m**3 - 2*m**2 + 2*m. Let v be p(2). Let n be ((-4)/(-2))/(-2) - 1. Let d = n + 10. Solve 5*u = -x - 2, -2*u = 3*u - v*x - d for u.
0
Suppose 5*g + 2*y - 13 - 11 = 0, 22 = 4*g + 3*y. Solve 0*i = -2*d + 5*i, 14 = -g*d + 3*i for d.
-5
Let b = -3 + 11. Solve 3*q - b = -l + 3*l, 0 = -2*q - 4*l for q.
2
Suppose 12 = 3*y + 3*o, -2*o = -3*y + y + 28. Let p(f) = f - f - 3 + y + f. Let m be p(-3). Solve m*j + 1 = -2*v - 3, -5*j - 5 = 3*v for v.
-5
Let a(g) = -13*g + 107. Let k be a(8). Let f(y) = -y + 6. Let s be f(3). Solve 4*j = -12, -s*d - k*j - 17 = -5*d for d.
4
Let s be (-2)/6 + (-20)/(-6). Let f be (12*-1)/(6/(-4)). Suppose -d = 3*k - 18, -4*k = -d - 5*k + f. Solve 4*m + d*w = s*m - 3, -m = 2*w + 2 for m.
0
Let r(j) = -1 + 0 - 49*j**2 - 4*j + 45*j**2 + j**3. Let y be r(5). Solve 3*u - 17 = -y*p, -4*u + 8*p - 4*p = -4 for u.
3
Let l(i) = 6*i - 9. Let f be l(9). Suppose f = 5*r - 15. Solve y = -4*d - 3, -4*d = y + 3*y - r for d.
-2
Let p = 125 - 122. Solve -2*f = -4*b + 5 + 1, p*f + 5*b + 20 = 0 for f.
-5
Suppose 36 = 5*z + f - 3*f, -4*z + 21 = f. Let i be (-4)/z - 55/(-15). Solve 5*g + 19 = a + a, 0 = 2*g + i*a + 19 for g.
-5
Suppose 0 = 5*j - 16 + 6. Suppose -j*g - 5*u = g - 59, 0 = 3*g + 4*u - 55. Solve -5*a - 3*m - 6 - g = 0, 2*a = -5*m - 19 for a.
-2
Let p be (-4)/(-6) - (-64)/(-6). Let g(r) = -r**2 - 6*r + 14. Let l be g(-6). Let j = l + p. Solve -d + 2*d - 5*a = 11, -j*d - 4*a - 4 = 0 for d.
1
Let j(p) = p**2 - 8*p + 12. Let a be j(8). Solve -3*i - 2*z = -a, -5*z = -2*i - 10 - 1 for i.
2
Suppose q + q = 8. Suppose 5*p - 29 - 1 = 0. Let s = 7 + p. Solve -3*l = -0*l - q*b - s, -5*l - 9 = b for l.
-1
Suppose 11*z - 4 = 9*z. Solve -z*m + 16 = -2*t + 3*m, -2*t = m - 8 for t.
2
Let k be (-390)/(-95) - (-4)/(-38). Suppose -4*v = -13 - 3. Solve 22 = -k*i - s + v*s, 0 = -3*s + 6 for i.
-4
Let z(s) = -3*s - 2. Let u be z(-4). Suppose f - u + 5 = 0. Let m be ((-22)/(-5) - 9/(-15)) + -2. Solve 0*d + 3*d = f*x + m, -5 = -d + 3*x for d.
-4
Suppose 3*j = 4*c + 92 + 3, 3*j - 3*c - 90 = 0. Solve 0 = -5*a - 2*t + 3*t + j, 12 = -2*a - 4*t for a.
4
Suppose -4*t = 2*o - 36, 2*t - 13 = -4*o + 5. Let n = 5 + t. Solve -4 = -0*b - 4*b + 2*m, n = 2*b + 5*m for b.
2
Let q(h) = -2*h + 21. Suppose -f = -15 + 6. Let r be q(f). Solve -8 = -k + r*d, 2*d + 3 = 4*k + 1 for k.
-1
Let v(s) = 5*s**2 | {
"pile_set_name": "DM Mathematics"
} |
26. Let k be ((-3)/(-9))/(1/6). Solve -c*i = -k*j + o, -3 = i - 2*j + 4 for i.
-5
Suppose -5*i - 11*i + 48 = 0. Let t = 4 - 2. Solve -6 = -i*p, -r - 3*p = t*r + 9 for r.
-5
Let h be (-1 - 2)*8/(-6). Suppose -o - 71 - 37 = 5*z, -78 = o - 5*z. Let a = -85 - o. Solve -4*u - 8 + h = -2*q, -4*q + 4*u + a = 0 for q.
2
Let r(b) = 5*b - 42. Let j be r(9). Suppose 45 = 5*c + z, 0 = -5*c + 3*z - 0*z + 25. Suppose c = -i + j*i. Solve 4 = -i*s + 3*f, f = 1 - 5 for s.
-4
Let c be ((-1)/2)/(7/(-28)). Let n be ((-4)/3)/((-2)/6). Let h = -34 + 40. Solve -n*z = 4*b - h - c, 0 = 4*b + 3*z - 7 for b.
1
Let l = -689 + 691. Solve 10 = 2*b - 3*h + 2*h, 0 = 3*b + l*h - 1 for b.
3
Suppose 0 = 7*x - 11 - 59. Suppose 4*z - x = 2*z. Solve -3*u + 5 = 3*a + 32, 0 = -z*u + 4*a for u.
-4
Let c(l) = l**2 + 2*l - 4. Let f be (-7 - -5)*(1 - -2). Let q be c(f). Solve -4*j + r - 8 = -3*r, 5*j - q = -r for j.
3
Let s = -262 - -262. Solve -20 = -3*p + n, 3*p + 4*n + s = -5 for p.
5
Let d(c) = 21*c + 55. Let p be d(-7). Let a = -89 - p. Solve -4*f - 2*j = -16, 0*f - a*j - 16 = -4*f for f.
4
Let j(x) = -x**2 + x + 46. Let a be j(7). Solve -q - 4 = q + 2*k, 14 = -a*q + 2*k for q.
-3
Suppose 2*r + 4 = 8. Let l be 8/(r + -6) + 2. Suppose l = -3*n + 6*n. Solve x = c, n = -4*x - 0*c - 3*c + 7 for x.
1
Suppose 4*n + 88 = -5*g, 4*g - 3*n = -24 - 34. Let v be (1 - 25/20)*g. Solve 3*f = 2*f + 2*c + 13, v*c = -5*f - 5 for f.
3
Let d(a) = 4*a + 1. Let q be d(1). Solve 5*l - 4*f + q + 12 = 0, -15 = -5*f for l.
-1
Suppose 1 - 4 = -2*n - t, t + 1 = -n. Let i = n - -9. Suppose i = -g + 15. Solve -3*l = -g*f + 2, -1 - 13 = -l - 3*f for l.
2
Let x = 109 - 105. Solve 2*r + 2 = -x*p, r + 2*p = 2*r - 3 for r.
1
Let v(c) = c**2 - 9*c + 11. Let y = -13 - -21. Let d be v(y). Let z = 45 + -41. Solve -d*t - 9 - 3 = b, -z*t - 35 = -5*b for b.
3
Suppose 23*b = -30*b. Solve 4*p - 8 = -4*m, 3*m + 2*p - 6 - 1 = b for m.
3
Let x(s) be the first derivative of -s**4/4 - 4*s**3/3 - 4*s**2 - 13*s - 26. Let g be x(-3). Solve -p + 3 = -4*q + 4, 12 = -2*p - g*q for p.
-5
Let p(o) = o**2 - 8*o + 18. Let w be p(4). Solve 5*f - 5 = 5*g, 3*f + w*g + 14 - 2 = 0 for f.
-2
Let q be (2 + -1)*(23 - 13 - 7). Solve 2*u + 2*d = -d - 23, 3*u = -q*d - 27 for u.
-4
Let p be (0 - 8)/((-4)/16). Let i = -31 + p. Solve -3*m - 3 = -2*m - a, -a = m - i for m.
-1
Suppose 2*b = 4*z - 14, 0 = -z - 0 + 5. Suppose -b*a - 4*j = -2, -17 = -3*a + 4*j + 17. Solve -2*o - 2 = 2*c - a*o, 3*c - o = 2 for c.
1
Suppose -541*x + 51 = -524*x. Let a = 9 + -4. Suppose r + 3 = a*o + 5, -3*o - 2*r + 4 = 0. Solve -9*c = -v - 5*c - 2, o = x*v - 3*c - 3 for v.
2
Suppose 17 = 5*k - 3*x, -5*k + 5*x + 26 = 11. Solve 0 = -5*t + 15, k*n = -t - 5 - 0 for n.
-2
Suppose 1 = -4*k + 3*b, k + k - 7 = -b. Suppose -3*x = -25*x + 52 + 80. Solve 4*d = 2*d + 5*n - 18, 0 = -k*d - n + x for d.
1
Suppose 1972 = -2*k + 1984. Solve -2*w + 2*t + k = 4*t, 3*t = 12 for w.
-1
Let r(l) = -l**2 - 5*l + 31. Let w be r(-7). Suppose 0 = 14*h - 59 + w. Solve 0 = -2*j - h*x - 12, -j - j + 8 = -2*x for j.
0
Let o be (-360)/(-50) - (-1)/(-5). Suppose -o = 2*z - 53. Solve 2*n + 6 = -2*s, 5*n = 4*s - 10 - z for s.
2
Let n = -59 + 54. Let f be (0 + 1)*(-3 - 2). Let p = n - f. Solve 2*o + 2*u + p*u = 12, -4*o + 21 = 3*u for o.
3
Let s(f) = -f**3 + f**2 + 11*f + 8. Let i be s(4). Solve 0 = 3*t + w + 20, i = 5*t - w + 24 for t.
-5
Suppose 5*s - 5*w - 30 = 0, w - 2*w = 3*s - 6. Let t be ((-6)/4)/((-1)/(-2)). Let j be 1/t + 98/6. Solve 2*x + 2*n + n + j = 0, -x - 11 = s*n for x.
-5
Let t be (-1)/((-104)/432) - 6/39. Solve -2*x + 5*i = -28, t = 4*x + i + 2*i for x.
4
Let x be (-5)/2*(-114)/3. Let b = 134 - x. Let q = -32 + b. Solve -22 = 3*f - 4*w, q = f + 5*w - 11 for f.
-2
Let u = 12 + -8. Let o be 3/u + 74/8. Suppose -o = 4*n + 2*t, 0 = -n + 3*t - 0 + 15. Solve n = -2*d, 5*a + d = 6*d + 25 for a.
5
Let f(u) = 16*u + 3. Let k be f(1). Solve 3*l + 2 + k = -3*b, 4*b = l - 13 for l.
-3
Suppose -y = -2*u - 13, 4*u = 5*y - 0*y - 41. Let w be (-7)/(-2)*((-1672)/(-133) + -12). Solve -1 = x + w*p, -y*p + 2 = 2*x + 2*x for x.
3
Let f be (-1)/(1 + -2) - -1. Suppose 2*b + k = f, k = 4*b - 7*b + 1. Let q be b + (-18)/(-3) - 3. Solve 0 = q*w + u - 7, 1 = 3*u - 2 for w.
3
Let u = 879 + -857. Solve -5*j = -j + 2*z + u, 18 = -j - 3*z for j.
-3
Suppose -9*f - 345 = -363. Solve n + 10 = -5*b - f*n, 4*b = 4*n + 24 for b.
1
Suppose -8*l = 252 - 316. Solve -12 = 4*h + 11*x - 9*x, -4*h = x + l for h.
-1
Suppose 0 = 6*t + 2*t + 64. Let k be (-2 - 6)*(-1 + (-4)/t). Solve -3*o + k*j = -5, -2*o + 4*j = 2*j for o.
-5
Let j be 2/7 + 120/70. Suppose -w = 2*w - 3*h + 3, -h = -3. Let l be (1 - -1) + (0 - -26). Solve -4*m = -w*r - l, -j*m + 10 = r + 4 for m.
5
Suppose 47 - 2 = 9*x. Solve -3*h + z + 5 = 0, h - x*z + 7 = 2*h for h.
2
Let u be (-22)/4 + 2/4. Let d be u - -2 - (8 - 14). Suppose 5 = d*o - 10. Solve 4*f + r - 9 = 0, 5*f - 2*r + o*r - 20 = 0 for f.
1
Suppose -16 = 7*w - 11*w. Suppose w*b - 15*b + 55 = 0. Solve 0 = -3*y - 3*x + 25 - 7, -y = b*x - 14 for y.
4
Suppose -2*u = u + 15, 2*u + 2 = -4*j. Solve h + 3*i + 9 = 0, 2 = -5*h + j*i + 8 for h.
0
Let g be ((-12)/(-10))/(30/50). Solve -4*c + 10 = 5*o, 2*c + 4*o - g = -0*o for c.
5
Let d = 0 - -4. Let f = 282 - 281. Let w be (30/(-6 - -11))/2. Solve -9 = 5*r - w*s, -d*s + 0 = -3*r - f for r.
-3
Let k be (-67)/5 - (-6)/15. Let f = -37 - -21. Let v = k - f. Solve v*b - 12 = -p, 5*b - 3*p = 2*p for b.
3
Let l(y) = -y**2 + 6*y - 4. Let f be l(3). Suppose -15 + 0 = -f*v. Let q be 9 - (-2 + 2 + -2). Solve 3*m - 3*w + 6 = 0, v*w - w = -3*m - q for m.
-3
Let x = 26 - 18. Let w be (-28)/(-10) - x/(-40). Solve -w*q + 4*d + 22 = 0, -q + 2*d - 1 + 11 = 0 for q.
2
Let u be (2 - (-15)/(-9))*12. Suppose 1259*z = 1248*z + 121. Solve -o - z = -2*s, 0 = -u*s + 2*o + o + 25 for s.
4
Suppose 3*c - 17 = -y, 2*y + y + 4*c - 26 = 0. Solve 3*r - 24 = 3*z, -y*z - 4 = r + 3 for z.
-5
Suppose 10 = 3*i + 3*v - 5, 0 = 2*v - 6. Let p be (-2 + i)*2/4. Let t = p + 4. Solve 3*s = -5*b + 2*b + 12, t*b = 4*s for b.
2
Suppose 3*y - 428 = y. Let k be (-18)/81 + y/(-9). Let g = k - -36. Solve -2*d = -2*l - g, 4*d + 5*l + 12 + 0 = 0 for d.
2
Let w = -3 + 10. Let o = -9 + w. Let t be o/(-8) - (-22)/8. Solve t*u - z - 6 = 0, -16 = u + 4*z - 5 for u.
1
Let r be 100/30 - (-8)/12. Solve -4*m = -5*a - 6, -2*m + 5*a - r = -2 for m.
4
Suppose -5*q - m = -3*q - 12, q = -3*m + 16. Solve -3*b = 3*h + q + 17, -4*b - 5*h = 32 for b.
-3
Let s(v) = -4*v + 44. Let f be s(9). Suppose 3*g - 7 - 2 = 0. Solve 0 = -4*q - 4, -g - f = -3*i + 5*q for i.
2
Suppose 3*p - 9 - 3 = 0. Let l be (-2 + -1)/((-9)/66). Let b be 9 + -4 + -1 + 0. Solve -b*r = 2*f - l, 2*f - 26 = -r - p*r for r.
4
Suppose 0 = -32*q + 36*q - 4. Let n be 1 - (-10)/4 - q/(-2). Solve -5*i = n*u - 31, i - 2*u - 7 = -4*i for i.
3
Let h be ((-2)/(-2*5))/(5/175). Solve -h = -2*r - 4*s + 3*s, -2*r - 5 = 5*s for r.
5
Let u = -130 - -190. Suppose 9*a + u = 14*a. Solve 2*m - a - 18 = 4*f, 0 = 4*m - 2*f - 30 for m.
5
Let p be (-10)/45 + 208/(-36). Let y be (-3)/p - (-27)/6. Solve 0 = -3*u + 2*b + 17, 3*u - 29 = -0*b + y*b for u.
3
Let n = 14 - 39. Let b = 31 + n. Solve 12 = -3*f - 0*k - k, b = 2*k for f.
-5
Suppose 2*g - 6 + 1 = f, 0 = -4*g + 4*f. Suppose -17*z = -16*z - 20. Solve -3*h + 27 = -0*h - g*u, -4*u = -2*h + z for h.
4
Let f(j) = -j**3 - 13*j**2 - 9*j + 40. Let n be f(-12). Solve -2*i - n*a - 6 = 0, 9 = -2*i + i + 4*a for i.
-5
Let d(o) = -8*o - 28. Let v(b) = -16*b - 55. Let w(p) = -13*d(p) + 6*v(p). Let l be w(-4). Solve l*k = 4*u - 3*k + 35, -2*k + 6 = 0 for u.
-5
Let g = 62 - 54. Suppose -4*y + 5*v = -y - 16, g = -4*v. Let i be 2/(-6) - 14/(-6). Solve y*j = 4*p - i*j - 4, j + 1 = -2*p for p.
0
Let n = -14 - -29. Suppose -n = -4*f - f. Suppose -f*c = -11 - 1. Solve q + 5*m + 18 = 0, 25 + 2 = -c*q - 5*m for q.
-3
Let d = -157 + 93. Let c be d/48*6/(-4). Solve -5*b + 0 = -c*l + 35, 15 = -3*b for l.
5
Suppose 5*r = r + 12. Suppose -r*t - 4*c = 17, 22 = -3*t + 2*c - 7*c. Suppose 6*j = -9*j. Solve l + 3 = -2*u, j = -3*l - 4*u - 12 + t for l.
-5
Suppose -5*h + 70 = 7*c - 2*c, -4*h + 5*c + 47 = 0. Let i be h + -5 + 1*-2. Let s be 10/3 - 2/i. Solve -2*p + 5*u = -p + 20, 4*u - 5 = s*p for p.
5
Let q = 1143 + -1141. Solve -2*u + 3*f + q = 11, 3 = u + f for u.
0
Let g(d) = 3* | {
"pile_set_name": "DM Mathematics"
} |
3*r**2.
-1226*r**2 + 2
Collect the terms in 2*f + 4455*f**2 - 2183*f**2 - 2232*f**2.
40*f**2 + 2*f
Collect the terms in 14*c**2 - 1524*c + 15*c**2 - 2726*c + 4250*c - 22*c**2.
7*c**2
Collect the terms in -145116*q**2 + 412371*q**2 + 581146*q**2 - 50484*q**2.
797917*q**2
Collect the terms in -1077*q + 3108*q - 2042*q.
-11*q
Collect the terms in 15*v**3 - 930*v**2 + 16*v**3 - 418*v + 930*v**2 + 7 + 418*v.
31*v**3 + 7
Collect the terms in -q - 5*q - 5*q**2 - 300 + 6*q - 1596.
-5*q**2 - 1896
Collect the terms in -59913*u + 10 + 120006*u - 60090*u + 17.
3*u + 27
Collect the terms in 712*i**3 - 151*i**3 + 3 + 73 - 559*i**3.
2*i**3 + 76
Collect the terms in 582 - 1162 + 147754*g**2 + 580.
147754*g**2
Collect the terms in 6*q**2 - 2439*q + 0*q**2 + 739*q - 4*q**2 + 850*q + 850*q.
2*q**2
Collect the terms in -7*o**3 + 433835*o**2 - 220989*o**2 - 212846*o**2.
-7*o**3
Collect the terms in 533*y**2 + 1059*y - 2126*y + 1096*y.
533*y**2 + 29*y
Collect the terms in -44*r**2 - 268*r**3 - 48*r**2 - 21*r**2 + 113*r**2.
-268*r**3
Collect the terms in 375 - 180 + 391 - 103 + g**2.
g**2 + 483
Collect the terms in 426 - 855*u**2 - 838*u**2 - 509 + 1692*u**2.
-u**2 - 83
Collect the terms in -18093*y**2 + 30 - 48 + 18.
-18093*y**2
Collect the terms in 44*g**2 - 39*g**2 - 45851 + 22913 + 22938.
5*g**2
Collect the terms in 147653 + 147657 - 295310 - 26*n**2.
-26*n**2
Collect the terms in 54 - 20880*f - 64 + 20878*f + 10.
-2*f
Collect the terms in -1395*c**3 + 976*c - 1399*c**3 + 2774*c**3.
-20*c**3 + 976*c
Collect the terms in -10*x**3 + 23*x**3 - 141*x**2 - 12*x**3 + 80 + 141*x**2 - 27.
x**3 + 53
Collect the terms in 86*k**3 + 105*k**3 + 94*k**3 - 292*k**3 + 2613*k**2.
-7*k**3 + 2613*k**2
Collect the terms in 10880*f - 15966*f + 1371 - 1376 - 17405*f.
-22491*f - 5
Collect the terms in -30139*i**2 + 30253*i**2 + 0*i**3 - i**3.
-i**3 + 114*i**2
Collect the terms in -19 + 2 - 47*v**2 + 203*v**2 + 13 + 29 + 2*v.
156*v**2 + 2*v + 25
Collect the terms in 51*l**2 + 452*l**3 - 51*l**2 - 225*l**3 + 30216 - 225*l**3.
2*l**3 + 30216
Collect the terms in 3*l - 32 - 27 + 210 - 36 - 116 + 6*l.
9*l - 1
Collect the terms in 2511*n + 9826*n**2 - 9805*n**2 - 2511*n.
21*n**2
Collect the terms in -5549*j**2 - 81*j - 53*j + 5547*j**2.
-2*j**2 - 134*j
Collect the terms in 64 - 30 - 36 - 20721*f**2 + 20208*f**2.
-513*f**2 - 2
Collect the terms in -2736*v - 74 + 77 + 2982*v.
246*v + 3
Collect the terms in -2*j**3 - 423449*j + 211733*j + 211716*j + 5*j**3.
3*j**3
Collect the terms in -7 - 252*g**2 - 29 + 89*g**2 + 46*g**2 - 4.
-117*g**2 - 40
Collect the terms in 2829*s**2 + 2996*s**2 - 9303*s**2 + 3476*s**2.
-2*s**2
Collect the terms in -6*m + 6*m - 7*m - 3*m + 119 + 398.
-10*m + 517
Collect the terms in -42117*x**3 - 58831*x**3 - 5 + 13 - 8.
-100948*x**3
Collect the terms in n - 17123 + 34002 - 16827.
n + 52
Collect the terms in 321332 - 5*a - 79*a**3 - 321332.
-79*a**3 - 5*a
Collect the terms in 22296 - 22296 + 11505*r.
11505*r
Collect the terms in -748 + 4*a**2 - 750 + 2500 - 1006.
4*a**2 - 4
Collect the terms in -11*z**2 - 761*z**3 + 204*z**3 + 550*z**3.
-7*z**3 - 11*z**2
Collect the terms in 2*k + k - k - 1705 - 914 - 153.
2*k - 2772
Collect the terms in 0*o - 10015 + o + 9*o.
10*o - 10015
Collect the terms in 1196*t**2 - 1196*t**2 - 18445*t**3.
-18445*t**3
Collect the terms in -11272050 + 22544075 - 11272025 + c.
c
Collect the terms in 1 - 5400*k**2 - 5450*k**2 - 5451*k**2 - 1 - 5435*k**2 + 21793*k**2.
57*k**2
Collect the terms in -2249 - 1193*m + 1192*m + 2228.
-m - 21
Collect the terms in c**2 - 3161 - 25000 + 5075.
c**2 - 23086
Collect the terms in -5 - 55*z - 28*z + 59*z + 131*z + 267*z.
374*z - 5
Collect the terms in -35*p**3 + 4 - 33*p - p + 18*p + 16*p.
-35*p**3 + 4
Collect the terms in 99*c**2 + 23 - 12 + 3*c**3 - 6 - 5.
3*c**3 + 99*c**2
Collect the terms in -33271 + 66626 - 33353 + 143*j.
143*j + 2
Collect the terms in 1042*b - 942*b + b**2 + 383*b**3 - 4*b**2 - 84*b**3.
299*b**3 - 3*b**2 + 100*b
Collect the terms in -3 - 1679*m**3 + 2 - 1168*m**3 + 1.
-2847*m**3
Collect the terms in 19*x**3 + x + 34*x**2 + 8*x**2 + 9*x**2 - 13*x**2 - 6*x**2.
19*x**3 + 32*x**2 + x
Collect the terms in -42*b**2 - 73*b**2 + 21*b**2 - 17*b**2 - 1 - 3*b.
-111*b**2 - 3*b - 1
Collect the terms in 2 - 13258*h + 26208*h - 12943*h.
7*h + 2
Collect the terms in -11*f + 25*f - 17*f - 7 + f - 27.
-2*f - 34
Collect the terms in -5557137*t**2 + 11115271*t**2 - 5557219*t**2.
915*t**2
Collect the terms in -45*q**2 + 1737685213*q - 1737685213*q.
-45*q**2
Collect the terms in -911*g**2 - 892*g**2 - 325*g**2 - 3*g**3 + 3021*g**2 - 893*g**2.
-3*g**3
Collect the terms in 14*x**2 + 52*x**2 + 31*x**2 - 128*x**2 - 45*x + 30*x**2.
-x**2 - 45*x
Collect the terms in -159 + 321 - 19*p**2 + 11*p**2 - 162.
-8*p**2
Collect the terms in -137*y**3 + 32*y**3 + 23*y**3 - 139*y**3.
-221*y**3
Collect the terms in 24*r**3 - 9 + 4 + 9 - 5 + 28*r**3 + 8*r**3.
60*r**3 - 1
Collect the terms in 3*b**2 - 2383010*b**3 - 4*b**2 + b**2.
-2383010*b**3
Collect the terms in -4 - 1 + 636*k**2 + 2693*k**2 + 5.
3329*k**2
Collect the terms in 34*k - 21*k - 3*k**2 - 2*k + 4*k**2 - 19*k - 16*k.
k**2 - 24*k
Collect the terms in f**2 + f**2 + 3040 + 11*f**3 - 586.
11*f**3 + 2*f**2 + 2454
Collect the terms in -150915*z - 150907*z + 452741*z - 150915*z.
4*z
Collect the terms in 43*y - 1137778*y**2 + 1137778*y**2 - 84*y - 6 - 9*y**3 + 41*y.
-9*y**3 - 6
Collect the terms in 423*h**2 - 5729*h + 1908*h + 1914*h - 431*h**2 + 1907*h.
-8*h**2
Collect the terms in -30*g - 54*g - 47*g + 221*g - 36*g - 34*g.
20*g
Collect the terms in 41504 + 51*k - 41504.
51*k
Collect the terms in 10 + x**3 - 28 + 39 + 20 + 17 - 8.
x**3 + 50
Collect the terms in -10401*n + 2870 - 8607 + 2872 + 2865.
-10401*n
Collect the terms in 367*l - 5 + 602*l**3 - 5 - 604*l**3.
-2*l**3 + 367*l - 10
Collect the terms in 5 + 58*j**3 - 17 + 56*j**3 - 94*j**3 + 6 + 4.
20*j**3 - 2
Collect the terms in -2123362*h**2 + 1061682*h**2 + 1061716*h**2.
36*h**2
Collect the terms in -42 - 2275*a + 18 + 24.
-2275*a
Collect the terms in 45180941242*p - 45180941242*p - p**3.
-p**3
Collect the terms in -339*a + 70*a**2 - 65*a**2 - 340*a - 351*a + 1030*a.
5*a**2
Collect the terms in 13*d + 150 + 2 - 289 + 137.
13*d
Collect the terms in 117238*t - 58604*t - 58634*t - 112*t**2.
-112*t**2
Collect the terms in 218*v**2 + 2*v + 232*v**2 + 233*v**2 + 236*v**2 - 27*v**3 - 919*v**2.
-27*v**3 + 2*v
Collect the terms in i - 10983 - 148547 - 186456.
i - 345986
Collect the terms in -1022*l + 2012*l - 1121*l.
-131*l
Collect the terms in -330 + 297*t**2 - 664*t**2 - 1070*t**2.
-1437*t**2 - 330
Collect the terms in -63 - 145*b - 5*b**3 + 74*b + 122 + 71*b - 63.
-5*b**3 - 4
Collect the terms in -6*b**2 - 4545 - 4727 + 9272.
-6*b**2
Collect the terms in 57287 + 57335 - 1214*y**2 - 114622.
-1214*y**2
Collect the terms in -152670*a**2 - 152653*a**2 + 458019*a**2 + 3*a**3 - 152665*a**2.
3*a**3 + 31*a**2
Collect the terms in -20688*d + 7758*d - 12564*d.
-25494*d
Collect the terms in -15*v + 173540*v**2 + 9*v - 171621*v**2 + 9*v.
1919*v**2 + 3*v
Collect the terms in -422*w + 60*w + 61*w + 76*w + 85*w + 66*w + 60*w.
-14*w
Collect the terms in 73535*h**3 - 73533*h**3 - 44 - 180.
2*h**3 - 224
Collect the terms in -578*w**3 + 168*w**3 + 117*w**3 + 118*w**3 + 119*w**3 - 3.
-56*w**3 - 3
Collect the terms in -829*v**2 + 244 + 60*v - 244 - 834*v**2 + 1656*v**2.
-7*v**2 + 60*v
Collect the terms in -50934 + 15*c - 50931 - 50926 + 5*c - 50932 + 203723.
20*c
Collect the terms in -1057*c**2 + 1165*c**2 - 861*c**2 - 431*c**2.
-1184*c**2
Collect the terms in 251 - 316 + 65 + 83*p**2 - 19*p**2 - 3*p.
64*p**2 - 3*p
Collect the terms in 811*r - 1052*r + 252*r + 799*r.
810*r
Collect the terms in -9*s**3 - 116*s - 177*s + 303*s.
-9*s**3 + 10*s
Collect the terms in 44421*u - 21277*u + 12486*u + 43667*u.
79297*u
Collect the terms in 4327*h**2 - 3284*h**2 - 15592*h**2 - 2 + 109*h - 109*h.
-14549*h**2 - 2
Collect the terms in -60482*u**3 + 20117*u**3 + 18939*u**3 + 18243*u**3.
-3183*u**3
Collect the terms in 10 + 2 - 12 + 3*q - 68349*q**2.
-68349*q**2 + 3*q
Collect the terms in 70*v**2 - 194*v**2 + 72*v**2 + 84*v**2.
32*v**2
Collect the terms in 12*f + 30348 - 4*f - 10297 - 9757 - 10294.
8*f
Collect the terms in 35948*b**2 - 42 - 33 + 74.
35948*b**2 - | {
"pile_set_name": "DM Mathematics"
} |
12, what is 68889 - -1?
6888a
In base 10, what is 60 + -1340?
-1280
In base 2, what is -110 - 101000110111111010?
-101000111000000000
In base 7, what is 3165 + -41?
3124
In base 14, what is 8 - -3a29?
3a33
In base 15, what is 3 - -12ee?
1302
In base 8, what is -1405352 - -5?
-1405345
In base 10, what is 6 + -564?
-558
In base 12, what is -12 - 1287?
-1299
In base 7, what is -11 - 310663?
-311004
In base 16, what is -47b + 34?
-447
In base 9, what is 16438 + -216?
16222
In base 9, what is 386 - 2527?
-2131
In base 2, what is -100100101 + 1000?
-100011101
In base 10, what is 1565 + -641?
924
In base 2, what is 1011101 + -111111010000?
-111101110011
In base 6, what is 122302144 + -5?
122302135
In base 10, what is 6 - -17803?
17809
In base 3, what is -1211101011 - 201?
-1211101212
In base 11, what is 2403 - 933?
1580
In base 6, what is 321024 + 10?
321034
In base 16, what is -4 + -2920?
-2924
In base 2, what is -1101 - -1000110101101111?
1000110101100010
In base 11, what is -3 - 13806?
-13809
In base 8, what is 374 - 2033?
-1437
In base 3, what is -1200010022 - 10?
-1200010102
In base 14, what is 112a - -c?
1138
In base 14, what is 11a6b + 6?
11a73
In base 15, what is -4 - 4e324?
-4e328
In base 10, what is 332 - -9718?
10050
In base 16, what is -6f3 + 2c0?
-433
In base 14, what is -bb + -3?
-c0
In base 10, what is 4375159 - 3?
4375156
In base 15, what is 16 - 76c?
-756
In base 14, what is -d8 + 9d?
-39
In base 15, what is a - c223?
-c218
In base 3, what is 1000021 - 101222?
121022
In base 8, what is 1132 + -30?
1102
In base 15, what is -546 + 23?
-523
In base 7, what is 5213 - -423?
5636
In base 3, what is -1 - 1221210202?
-1221210210
In base 2, what is 11 - -10001011110110?
10001011111001
In base 11, what is -2342a + 86?
-23354
In base 5, what is -10 - 14031212?
-14031222
In base 5, what is -13144 + -1?
-13200
In base 15, what is -43 - c72?
-cb5
In base 5, what is 2303110 + 20?
2303130
In base 4, what is -23 + 10131300?
10131211
In base 13, what is 3 - -2687?
268a
In base 12, what is 259 - 3262?
-3005
In base 10, what is 827107 + -4?
827103
In base 11, what is 79040 + -1?
7903a
In base 7, what is 3 + 4102256?
4102262
In base 10, what is -12941 + 1?
-12940
In base 12, what is -167 - -40a?
263
In base 3, what is -1202 + 1011000?
1002021
In base 9, what is 1003 - -105?
1108
In base 8, what is 310 + -775?
-465
In base 2, what is 1111001101111 - -1011000000?
10000100101111
In base 5, what is -1 + 30033321?
30033320
In base 8, what is -353 + -373?
-746
In base 14, what is -17b94 + 3?
-17b91
In base 6, what is -4110 - 110?
-4220
In base 5, what is 12240234 - -2?
12240241
In base 4, what is -1123 + -12100?
-13223
In base 13, what is 1 - 23ab?
-23aa
In base 12, what is -2308 + 21?
-22a7
In base 9, what is 18 + -836?
-817
In base 11, what is -103 + 120?
18
In base 6, what is 5 - 402?
-353
In base 13, what is 0 + -16a64?
-16a64
In base 5, what is -1112403330 - 10?
-1112403340
In base 9, what is 1340 + 131?
1471
In base 5, what is -222 - -3122?
2400
In base 10, what is 33 - -35879?
35912
In base 5, what is 1213 + 30240?
32003
In base 10, what is -54 - 75367?
-75421
In base 7, what is 13614421 - 3?
13614415
In base 3, what is -122102221110 + -12?
-122102221122
In base 8, what is 613 + -1051?
-236
In base 15, what is -4 - -c8208?
c8204
In base 12, what is -55 + 2558?
2503
In base 11, what is 3 + -61a90?
-61a88
In base 11, what is 6 + -35093?
-35088
In base 16, what is 39a656 - -4?
39a65a
In base 5, what is 1423334203 - -1?
1423334204
In base 16, what is 6 - -443a?
4440
In base 6, what is -211 - 2?
-213
In base 5, what is 10 + -22023?
-22013
In base 16, what is -1 - d489?
-d48a
In base 6, what is 22 - -203?
225
In base 14, what is 22 + -906?
-8c4
In base 8, what is 4 - -22003?
22007
In base 10, what is 7 - -51848?
51855
In base 7, what is -552150 + 2?
-552145
In base 5, what is 44231 + 1104?
100340
In base 5, what is 11 + -233040031?
-233040020
In base 2, what is -101011010111010 - -10?
-101011010111000
In base 12, what is -123 + 97?
-48
In base 14, what is 4 + 107244?
107248
In base 7, what is 2 - -215151?
215153
In base 5, what is -2310 - -342?
-1413
In base 4, what is 23023032 + 1?
23023033
In base 6, what is -102 - 5052?
-5154
In base 9, what is 374552 + -1?
374551
In base 5, what is -1404 + -203011?
-204420
In base 13, what is b91b - 3?
b918
In base 10, what is -236412 + -19?
-236431
In base 7, what is 1 + 5051?
5052
In base 11, what is 1951 + 36?
1987
In base 9, what is 814 + 527?
1442
In base 8, what is 2245 + 1413?
3660
In base 11, what is 2 - 5894?
-5892
In base 16, what is -30 + 411?
3e1
In base 10, what is -1 - -120940?
120939
In base 9, what is -2 + 162236?
162234
In base 14, what is 3 + 262ac?
262b1
In base 11, what is -8 + -189a?
-18a7
In base 15, what is -9108 - 0?
-9108
In base 11, what is 607 + -126?
491
In base 4, what is -202203 + 111301?
-30302
In base 12, what is -29 + -75b?
-788
In base 11, what is -694440 - -4?
-694437
In base 14, what is 10 - 5d2?
-5c2
In base 16, what is -4 + -1245d1?
-1245d5
In base 7, what is 2660 + 564?
3554
In base 11, what is -1 - 6797?
-6798
In base 8, what is -31 - -1124?
1073
In base 8, what is -777 - 2635?
-3634
In base 15, what is 9 + 13780?
13789
In base 15, what is -cd40 + -1?
-cd41
In base 16, what is -2d + -2cd?
-2fa
In base 2, what is 10011010010 + 10110000?
10110000010
In base 7, what is 22322524 + 2?
22322526
In base 10, what is -89 + -1082?
-1171
In base 10, what is 15417 + 28?
15445
In base 13, what is 5cb0 - 192?
5b1b
In base 15, what is b3c + 27?
b64
In base 10, what is 2548 + -36?
2512
In base 15, what is 13 - acc?
-ab9
In base 2, what is 111010 + 1011110110000?
1011111101010
In base 11, what is 5 - -396944?
396949
In base 12, what is -25 - -12724?
126bb
In base 2, what is 10000001111 + 1?
10000010000
In base 8, what is 11757 - -31?
12010
In base 11, what is 52 - 3a14?
-3972
In base 7, what is 0 + -1241261?
-1241261
In base 2, what is -10010101110001110000 + 0?
-10010101110001110000
In base 12, what is 4 + 13681?
13685
In base 10, what is 29 + -127?
-98
In base 3, what is -10022 + -1100220121?
-1101000220
In base 4, what is 120011 + 103?
120120
In base 15, what is -7d4a - 47?
-7d92
In base 13, what is -715 + 3?
-712
In base 4, what is -11 + 100001211?
100001200
In base 8, what is -25 - -7?
-16
In base 8, what is 51775 + 5?
52002
In base 3, what is 2 + -100011?
-100002
In base 13, what is 1371 + 12?
1383
In base 10, what is 453866 - 0?
453866
In base 6, what is -2442442 - 11?
-2442453
In base 6, what is -3 + -11244314?
-11244321
In base 12, what is -14b89 + 3?
-14b86
In base 2, what is 1110011001010 + 1011001?
1110100100011
In base 16, what is 77 + 1?
78
In base 5, what is 130402 - 12?
130340
In base 13, what is 4 - -1595?
1599
In base 6, what is -5 - -10211?
10202
In base 3, what is -10 - -1002120201?
1002120121
In base 7, what is 15 - 130323?
-130305
In base 14, what is -bd4 + c6?
-b0c
In base 10, what is -5068 + 3?
-5065
In base 16, what is dc + -dc?
0
In base 2, what is -110011111 + -1010100110?
-10001000101
In base 11, what is -5a - 172?
-221
In base 10, what is 23681 + -9?
23672
In base 9, what is -14 - -1423144?
1423130
In base 15, what is a66d + 4?
a672
In base 5, what is -130 + 42330?
42200
In base 11, what is 7 + 3556?
3562
In base 13, what is -6b7a4a + -1?
-6b7a4b
In base 13, what is 113 + 66?
179
In base 15, what is -1b - -39cc?
39b1
In base 10, what is 1 + -661060?
-661059
In base 3, what is 2011 - -2121021?
2200102
In base 14, what is 120 - 136?
-16
In base 9, what is 5 - -1407835?
1407841
In base 15, what is 1e8c82 + 0?
1e8c82
In base 15, what is -3 + -590e?
-5912
In base 9, what is -7663 - 10?
-7673
In base 7, what is -52600 - -2?
-52565
In base 4, what is 20021012233 - 3?
20021012230
In base 4, what is 11101 + -203300?
-132133
In base 5, what is -43004 + 1021?
-41433
In base 12, what is a4 + 17b8?
18a0
In base 3, what is -100000200 + -2022?
-100002222
In base 15, what is 3 + -3569?
-3566
In base 8, what is -7121 - 7?
-7130
In base 5, what is 111 + 1314103?
1314214
In base 13, what is 1b9 + -575?
-389
In base 4, what is 1 + 12311333?
12312000
In base 6, what is -32330 - -101?
-32225
In base 2, what is 11101001 - 1000001101?
-100100100
In base 6, what is -2 + 15454154?
15454152
| {
"pile_set_name": "DM Mathematics"
} |
1 + 0*f**2 + 2*f**2 + 0*f**2 + (-3*f + 6*f - 4*f)*(2*f - 2*f + f).
6*f**2
Expand ((-8 + 8 - 2*a)*(1 + a - 1) + 18 - 2*a**2 - 12 + 7)*(-3 + 3*a + 3).
-12*a**3 + 39*a
Expand (-33 - 6*x + 33 + (2 + 5 - 4)*(3*x - 2*x - 2*x))*(4*x + x - 7*x).
18*x**2
Expand (2 - 2 + 1)*(m**2 - 6*m**2 - 4*m**2) + 13*m**2 + 31 - 31.
4*m**2
Expand (-76*j**5 - 20*j**3 - 23*j**3 + 43*j**3)*(-22 + 20 + 18).
-1216*j**5
Expand ((-2 - 4 + 0)*(-m + 1 - m + 3*m) + (0 + 3 - 2)*(-m + 0*m - 2*m))*(6 - 10*m - 6 + (2 + 0 - 3)*(2*m - 5*m + 2*m)).
81*m**2 + 54*m
Expand 0*u + u + u + (-2 + u + 2)*(2 + 0 + 0) + 185*u + 197*u - 404*u.
-18*u
Expand (-173*r + 30*r + 53*r)*(-3 + 4 + 0).
-90*r
Expand (-2*p - 3 + 3)*(2*p**2 - 2*p**2 + 2*p**2)*(98 - 96 + 181).
-732*p**3
Expand (13*m**2 + 162*m**2 + 96*m**2)*(1 - 1 + m).
271*m**3
Expand (-5 - 2 + 20)*(-73 + 7*j**2 + 73).
91*j**2
Expand (-3 + 2 + 4)*(31*z + 38*z - 76*z)*(-3 + 1 + 1)*(2*z + 0*z + z).
63*z**2
Expand (z**3 + z**3 + 2*z**3)*(-3*z - 2*z + 4*z) - 2*z**4 + 0*z + 0*z - 2*z**4 - 2*z**4 + 3*z**4 + (z**4 + 1 - 1)*(7 + 22 - 7).
15*z**4
Expand ((5 + 0 - 9)*(-2 + 2 - 2) + 0 - 1 - 1)*(-10*h**2 - 69*h + 69*h).
-60*h**2
Expand (-2 + 4 + 1)*(56*r - 114*r - 244*r - 51*r).
-1059*r
Expand 28*v**5 + 27*v**5 - 36*v**5 + (-2*v**3 + v - 2*v + v**3)*(3*v**2 + 2*v - 2*v - v**2 + 0*v**2 + 2*v**2 + (2*v**2 + v - v)*(-1 + 1 - 1)).
17*v**5 - 2*v**3
Expand (-x**4 + 3*x**4 - 3*x**4)*(0 - 3 + 5)*(-3 + 46 - 13) + 2*x**3 - 2*x**4 - 2*x**3.
-62*x**4
Expand (-17 - 81 - 8)*(2 + 3*y**3 + 6*y**3 - y**3).
-848*y**3 - 212
Expand (2*o - 4*o + 0*o)*(1 - 6 + 7)*(-3*o - 1 + 1).
12*o**2
Expand 100*p - 100*p - 38*p**2 + (4*p + p - 3*p)*(-2*p + 0*p + 0*p).
-42*p**2
Expand (y + 2*y - y)*(-4 + 1 + 4)*(y**2 - 3*y**2 + 3*y**2) + (-109 - 21*y + 109)*(-3*y**2 + 4*y**2 - 3*y**2) + y**3 - y + y.
45*y**3
Expand (7*s + 131 - 131)*(1 + 2 - 15).
-84*s
Expand (-2 + 2 - 1)*(-r + 0*r - r + (0 + r + 0)*(1 + 1 - 4) - 6*r + 0*r + 85 - 76).
10*r - 9
Expand (16*x + 17*x + 23*x)*(0 + 2 + 1).
168*x
Expand (0 + 2 + 0)*(330*z + 219*z - 802*z - 3).
-506*z - 6
Expand (-6*s**2 + s**2 + s**2)*(0 - 2 + 1) - 7 + 6 + 13*s**2 + 3.
17*s**2 + 2
Expand (-2*j - j + 4*j)*(2 + 0 - 3)*(2*j**3 - 15*j**3 - 33*j**3).
46*j**4
Expand (5 - 2 + 3)*((7 + 4 + 8)*(-2*o + 1 - 1 - o + 0*o + 3*o + (4*o + 0*o - 3*o)*(-3 + 2 + 2)) + (2*o - 3 + 3)*(3 + 2 - 3) + (0*o - 4*o + 6*o)*(3 - 5 + 0)).
114*o
Expand (-10 - 2*g + 10)*(5*g - 6*g - 12*g).
26*g**2
Expand (-1 + 6 - 2)*(-129*s - 10*s + 29*s).
-330*s
Expand (4*d + d - 4*d)*(-4 + 4 - d) + 20*d**2 + 8*d**2 + 16*d**2.
43*d**2
Expand (201*u**2 - 103*u**2 - 335*u**2)*(2 - 2 - 2*u) - 4*u**3 + 0*u**3 + 3*u**3.
473*u**3
Expand -19003*n**2 + 19003*n**2 - 272*n**4 + (5 - 1 - 3)*(n**4 - 4*n**3 + 4*n**3) - 2*n + 2*n - 2*n**4.
-273*n**4
Expand (0*y + 5*y - 3*y)*(31*y - 559*y - 53*y)*(3*y**2 + y**2 - 2*y**2).
-2324*y**4
Expand (-35*v + 5*v - 32*v)*(1 - 2 - 2) - 3*v + v + v - 3*v + v + 0*v.
183*v
Expand (4 + 3 - 5)*(-13*a**4 - 11*a**4 - 17*a**4).
-82*a**4
Expand (4 - 1 - 2)*(-121 - 90 - 256)*(j + 4*j - 4*j).
-467*j
Expand (-494*b - 84*b + 228*b)*(0 + 0 + b**4).
-350*b**5
Expand (0*v - 3*v + 2*v)*(-6 + 2 + 2) - 14*v - 22*v + 28 - 38.
-34*v - 10
Expand -8*m**2 + 0*m**2 + 5*m**2 + (-2*m - 2*m + m)*((2 + 0 + 1)*(3*m - m - 3*m) + 0*m - 3*m + 4*m).
3*m**2
Expand 0*n**4 + 3*n**4 - 2*n**4 + (-n**4 - n**4 + 0*n**4)*(5 + 2 - 3).
-7*n**4
Expand (-40*f**3 + 55*f**3 + 0*f**2 + 0*f**2)*(7 - 7 + 3*f).
45*f**4
Expand (0 + 1 - 3)*(-a + 0*a + 0*a) + (-4 - 4 + 4)*(-48*a - 1099 + 1099) - 3 + 3 + 2*a.
196*a
Expand (7*l**2 + 4*l - 4*l)*(-l**3 + l + 4*l**3 - 4*l**3) + (-3*l + 2*l + 3*l)*(-4*l + 2*l**4 + 4*l).
-3*l**5 + 7*l**3
Expand (-6*j - 3 + 3)*(6*j - j - 2*j)*(2*j + 4*j**2 - 2*j).
-72*j**4
Expand (g**2 - 3*g**2 + 3*g**2)*((3*g - 4*g + 2*g)*(0 + 4 - 2) + (-3 + 2 + 2)*(4*g - 5*g - g) - 20*g + 19*g + 13*g).
12*g**3
Expand ((1 - 7 + 20)*(19 + 19 + 7) + 3 - 5 + 1)*(-3*z**5 + z**5 + 3*z**5).
629*z**5
Expand v - 3 - 3*v - 1 + (3 + 1 - 2)*(-25 + 2*v + 25).
2*v - 4
Expand (-2459 + 1241 + 1025)*((-4*j + 6*j + 0*j)*(2*j**3 + j - j) + 4*j**4 - j**4 - 2*j**4 - 4*j**4 + 3*j**4 + 2*j**4).
-1158*j**4
Expand (-2*m + 3 - 3)*(-20*m + 37*m + 18 - 18*m).
2*m**2 - 36*m
Expand (-35*y - 17*y + 8*y)*(y - y + y) + (2 + 4 - 5)*(2*y**2 - y**2 + y**2) + 3*y**2 + 2*y**2 - 3*y**2 + (-y + 0*y + 0*y)*(4 - 4 + y) + y**2 + 4*y**2 - 3*y**2.
-39*y**2
Expand -4*y**5 + 294*y + 2*y**5 - 276*y + (-y**4 + 4*y**4 - 2*y**4)*(0*y + 0*y + y).
-y**5 + 18*y
Expand 15*z**5 - 113 + 113 + (-4*z**4 + 3*z**4 - z**4)*(-7*z + 2*z + 7*z).
11*z**5
Expand (-2*k**2 + 3*k**2 - 2*k**2 + (-k**2 + 5*k**2 - 2*k**2)*(2 - 1 + 0))*(-407 - 39*k + 407).
-39*k**3
Expand -2345 - 439*s + 2345 - 2*s + 0*s + 0*s + (1 - 1 - s)*(1 + 2 - 1).
-443*s
Expand ((1 + 0 - 3)*(-2 + 1 + 3) + 5 - 3 - 4 + 1 + 2 - 6)*(-3*z + z + 7*z)*(4 - 5 + 2)*(-5 + 3 - 2).
180*z
Expand -125*f**3 + 61*f**3 + 62*f**3 - 88*f + 2*f**3 + 4*f - 4*f + (f - 3*f + 3*f)*(-f**2 - f**2 + f**2) + 0*f**3 - f**3 + 3*f**3.
f**3 - 88*f
Expand (-46*x + 92*x - 112 - 48*x)*(x**2 + 0*x**2 + 6*x - 4*x)*(-2 + 5 - 2).
-2*x**3 - 116*x**2 - 224*x
Expand 3*o**5 + 2*o**5 + 5*o**5 + (-o**2 - 2 + 2)*(12 - 12 + 9*o**3).
o**5
Expand (-4*p**3 - 2*p**3 - 5*p**3)*(-p + 0*p - 2*p).
33*p**4
Expand 2*f**5 + 2*f + 27*f**3 + 2*f**4 - 27*f**3 + (-2*f**4 + 2*f**4 + f**4)*(-19*f + 37*f - 10*f).
10*f**5 + 2*f**4 + 2*f
Expand -81 + 7*h**2 + 81 + (4*h - 3*h - 3*h)*(2 - 2*h - 2) + 2*h**2 - 4 + 4.
13*h**2
Expand (-g - 14*g + 2*g)*(-385 - 77 + 80 + 111).
3523*g
Expand -2*i**4 + 0*i**4 - i**4 + (15*i**2 + 19 - 19)*(16*i**2 - 11*i**2 + 19*i**2).
357*i**4
Expand (2 - 2 - 5*k)*(3 - 5 + 3) + 0*k + 2*k - k - 3*k - 1 + 1 + (0 + 1 + 0)*(-3*k + 2 - 2) - 3 + k + 3 + 2*k - 4*k + 4*k + (-2 + 5 - 1)*(5*k + 0*k - 2*k).
-k
Expand (-2 + 0 + 0)*(-13 + 8 - 12)*(0 + 0 - 2*d)*(0*d**2 - 2 + 0*d**2 + d**3).
-68*d**4 + 136*d
Expand (-128 - 75 - 3 + (1 - 4 + 1)*(-2 + 1 + 2) + 1 - 3 + 1)*(3*x + 2*x**2 - 3*x + (x**2 + 2*x - 2*x)*(2 + 1 - 2)).
-627*x**2
Expand 0 + s + 0 + (-5*s + 3*s + 0*s)*(-75 - 183 - 119) + s + 0*s + 0*s.
756*s
Expand (-z**2 - 1 + 1 + 3*z**2 - 4*z**2 - z**2 - 3 + 2*z**2 + 3 + (2 - z - 2)*(-2*z + z - z))*(0 + 0 - 2*z)*(-z + 3*z - z)*(-2*z + 0*z - 3*z).
10*z**5
Expand 4*p**2 + 3*p**2 - 2*p**2 + (0 - 3 + 2)*(-p - 5*p + 5*p)*(-26*p - 20*p + 8*p).
-33*p**2
Expand -154 + 154 + 11*d - d + 3*d + d + (0 - 1 + 0)*(3*d + 2*d - 6*d) + (2 - 2 + 2*d)*(-1 + 3 - 1).
17*d
Expand 1916 - 1916 - 51*r**2 - 2*r**4 + (-2*r**3 - 4*r**3 + 4*r**3)*(4*r - 2*r + 0*r) + 33*r**2 - 5*r**4 - 33*r**2.
-11*r**4 - 51*r**2
Expand (-35 + 18 - 20)*(5 - 3 + 0)*(-4 + n**4 + 4).
-74*n**4
Expand (-2*x + x + 0*x)*(4*x - 4*x + 2*x + (0 - 2 + 3)*(0 + 2*x + 0)).
-4*x**2
Expand (4 - 21657*v + 21657*v + 28*v**2)*(v**2 - 2 + 2)*(2*v - v + v).
56*v**5 + 8*v**3
Expand -10*s**5 + 356*s**3 - 356*s**3 + (-2*s**2 + 4*s**2 - s**2)*(s - s + 7*s**3).
-3*s**5
Expand (53*a**3 - 163*a**3 + 86*a**3)*(-2*a + 0*a - 2*a)*(0 + 0 - 1).
-96*a**4
Expand (j - 26 + 26 - 60)*(0*j - j + 0*j).
-j**2 + 60*j
Expand (-3 + 0 + 2)*(-v + v + 2*v) + 9*v - 2*v - 3*v.
2*v
Expand (28*y - 214 + 214)*(-3*y + y + 0*y) - 2*y**2 + 3*y**2 + 4*y**2 + y**2 + 0*y**2 + y**2 + (2*y - 1 + 1)*(3 - 3 + y).
-47*y**2
Expand (35*z - 35*z - 218*z**3 + (1 - 1 - z)*(0*z + 0*z + 2*z**2))*(2*z + 0*z - 3*z).
220*z**4
Expand (2818 - 1943 - 1751 + (1 + 2 - 5)*(5 + 0 - 4))*(-1 - 2*u + 1).
1756*u
Expand -3*k**2 + 3*k**2 + k**2 + (0*k - 4*k + 5*k)*(-k + k + 2*k) - 8*k - k**2 + 6673 - 6673.
2*k**2 - 8*k
Expand (4*l**2 - l**2 - 5*l**2)*(-4 - 33 - 28)*(-3 + 3 + 1) + 4*l**2 - l**2 - l**2.
132*l**2
Expand (-10 - 1 + 2)*(g + 0*g + g) - 33*g + 36*g - 18*g.
-33*g
Expand (3*f - 3*f - f**4)*(-3 + 1 - 2)*(1 + 0 + 0)*(4*f - 3*f - 3*f).
-8*f**5
Expand (-s - 2*s + 4*s)*(1 - 4 + 1)*(-34 + 14 + 14)*(-s + 5*s - 2*s)*(-6*s**2 + 8*s**2 - 4*s**2).
-48*s**4
Expand (-6*f**2 - 70*f**3 + 61*f**3 + 23*f - 22*f)*(2*f + f - 2*f).
-9*f**4 - 6*f**3 + f**2
Expand (-13*h - 10 + 10 + (h + 4*h - 4*h)*(4 - 5 - 1) + h - h - 2*h)*(5 - 1 - 3) + h + 1 - 1.
-16*h
Expand (1 - 3 + 6)*(-35*c + 35*c - 215*c**3 - 461*c**3).
-2704*c**3
Expand (4 - 15*w - 4)*(-2*w + 0*w - 2*w + (w - 5*w + 5*w)*(-1 - 1 + 0)).
90*w**2
Expand 7*s**2 - 16*s**2 - 12*s**2 + (s + 1 - 1)*(3*s + 4 - 4).
-18*s**2
Expand -2*c**3 - 2 + 2 + (c - 2*c | {
"pile_set_name": "DM Mathematics"
} |
- 6. Suppose 0 = -3*t + o + 53, 0 = -4*t + 4*o + u - 4. What is the common denominator of t and 34/11?
11
Let s(o) = -o**3 + o**2 + o + 7. Suppose -4*q = y + 6, y - 2 = 4*y + 4*q. Calculate the smallest common multiple of s(0) and y.
14
Let p be (-145)/(-30) + (2 - 2). Let j = p + -77/15. Let l = 3295/52 + -606/13. What is the common denominator of l and j?
20
Suppose d = 3*d - 6. Let k = 1 - 0. What is the lowest common multiple of (k + 1 - -2) + 1 and d?
15
Suppose -5*z + 6 + 4 = 0. Calculate the lowest common multiple of 16 and (7/7)/(z/8).
16
Let z = 4 - 3. Let s(t) = t**2 + t - 3. What is the lowest common multiple of 42/2*z/3 and s(-3)?
21
Suppose -4*i = i - 90. Calculate the lowest common multiple of (2 - i/4)*-2 and 2.
10
Suppose 0 = 5*z - z - 24. Let m be 5/(60/28)*3. Suppose -m*s = -5*s - 6. Calculate the smallest common multiple of z and s.
6
Let h = 59 + -50. Calculate the smallest common multiple of 6 and h.
18
Suppose 4*v = -1 + 5. Find the common denominator of 19/6 and -12*(v - 43/16).
12
Let u = -4 - -16. Let q be (3 + -2)*2/(-2). What is the smallest common multiple of (12 - (-3 - q)) + -2 and u?
12
Let f = 4 + -6. Let c be 2/(-1) - (f + 1). Calculate the lowest common multiple of 2 - c/((-3)/(-6)) and 10.
20
Find the common denominator of 29/18 and 2037/(-280)*5/(-6).
144
Let z be 10/(-4)*12/(-15). Calculate the least common multiple of 16 and 0/((-6)/z) + 12.
48
Find the common denominator of (2/8)/(2/77) and (15/40)/(6/142).
8
Let b = -2/721 - 485/85078. Let u = -343/1298 + b. Find the common denominator of -23/6 and u.
66
Calculate the common denominator of -65/22 and 175/18 - (-23 - -27).
198
Suppose -4*m + 9 + 11 = 0. Calculate the smallest common multiple of 9 and m.
45
Suppose 0 = 5*b - 5*x + 2 - 7, -x = -2*b + 3. Suppose -d - b*d = -48. Let l = 27 - d. Calculate the lowest common multiple of 10 and l.
110
Let k be (20/6)/((-2)/(-6)). Suppose -y - 4 = 3*y. Let m = k + y. What is the smallest common multiple of m and 3?
9
Find the common denominator of ((-351)/(-252))/((-2)/(-7)) and 103/10.
40
Let f = -128 + 155. What is the least common multiple of f and 54?
54
Let b(x) = -x**3 - 3*x**2 + 3*x - 4. Let c(n) = -n**3 - n**2 - 4. Let h be c(0). Let z be b(h). Calculate the lowest common multiple of 6 - (3 + (z - 3)) and 6.
6
Let w = -6957 + 69639/10. What is the common denominator of w and -89/10?
10
Let i be (-1408)/(-444)*(-12)/(-10). Let v = i + 22/37. Find the common denominator of v and -47/7.
35
Suppose v - h - 6 = 0, 3*h + h = -4*v + 40. Suppose -3*r + v = r. Calculate the least common multiple of 7 and r.
14
Suppose -5*x = -4*h + 20, -4*x + 5*x = -h - 13. Let y be 174/x - 1/4. Calculate the common denominator of 40/3 and (0 + 6)*y/(-40).
30
Let n be 0/1 + -2 + 5. Suppose -160 = -n*y + 7*y. What is the lowest common multiple of 9 and (6/10)/((-4)/y)?
18
Let b = -6077/666 - -75/74. Calculate the common denominator of ((-1)/2)/((-15)/(-1200)) and b.
9
Let p(i) = i - 7. Suppose 39 = j + 2*j - 4*o, 0 = j + o - 13. Let y(f) = f**3 - 12*f**2 - 14*f + 15. What is the lowest common multiple of p(10) and y(j)?
6
What is the common denominator of 3*(-1)/6*54 and (7*1)/((-20)/(-6))?
10
Suppose 0*w = -2*w + 6. Suppose w*o - 15 = -s, 0 = o + 3*o + 3*s - 25. Suppose -u - 3 = 0, o*u = -3*z + z + 2. What is the least common multiple of z and 6?
42
Suppose 36 = -77*r + 81*r. What is the smallest common multiple of 9 and r?
9
Let j = 15 + -29. What is the smallest common multiple of (-100)/(-7) - (-4)/j and 20?
140
Suppose 9 = -3*w + 6*w. Suppose -p - a + 55 = 4*p, 3*p = -w*a + 21. Let s = -4 + 6. Calculate the least common multiple of s and p.
12
Let i(k) = -k + 4. Let x be i(6). Calculate the least common multiple of 22 and -8*(x - 0) + 2.
198
Let y = 2 + 0. Let x be -9*y/6*3. Calculate the common denominator of 1 + -3 + (-50)/x and -40/11.
99
Let o(u) = -u**3 + u**2 + 2*u - 1. Calculate the smallest common multiple of o(-2) and 26.
182
Suppose 5*w + 3*v - 2*v = 94, -2*v + 8 = 0. Let s = -8 + w. What is the lowest common multiple of s and 9?
90
Let h = 42603/26 - 1639. Let g = -5935/626 - 6/313. Find the common denominator of g and h.
26
Let t = 5072 + -111669/22. Calculate the common denominator of -49/4 and t.
44
Let v(c) = c**2 - 8*c + 6. Let p be v(7). Find the common denominator of (p/(-12))/((-1)/122) and -23/7.
42
Let q(w) = -w + w - w + 6 + 4. What is the lowest common multiple of 6 and q(0)?
30
Find the common denominator of ((-26)/(-318))/((-6)/(-36)) and 33/4.
212
Suppose k = 6*k - 30. Let d = 10 - 6. What is the common denominator of d/(-6)*(-29)/k and 33/4?
36
Let o = 112729/10 + -11282. Calculate the common denominator of 95/16 and o.
80
Suppose -3 = t - 12. Let b be 3*(-2)/(-3) - 6. Let j = b - -7. What is the lowest common multiple of j and t?
9
Let d = -11 - -31. Suppose -2*p + 1 = -u + 5, -4*p - d = -5*u. What is the least common multiple of 4 and u?
4
Let g = -13 - -4. What is the lowest common multiple of 12 and 3/(-9)*g*2?
12
Suppose 7 = 2*s - 3*t - 7, -3*s = -5*t - 20. Suppose -13*n = -s*n - 33. Calculate the least common multiple of 8 and n.
88
Let x = 27604/50785 + -19/35. Let g = x + 15954/10157. Find the common denominator of g and 59/9.
63
Suppose -3*q = 5*s - 207, -3*s + 138 = 3*q - q. What is the least common multiple of q and 11?
759
Suppose 0 = r + 4*j - 2*j - 26, 0 = -4*r + j + 68. Let u = -2 + r. What is the least common multiple of u and 22?
176
Let h = -5 + 4. Let a be h*(1299/6 + -1). Let w = a + 250. Calculate the common denominator of w and -51/10.
10
Suppose -u + 3*w = 7, 0*u - 2*w + 38 = -4*u. What is the smallest common multiple of 10 and (1 - 3)/(5/u)?
20
Suppose 4*s = 5*k - 14, -4*k + s + 4*s = -4. Suppose -2*d - 48 = -2*n + 2*d, n + k = -4*d. Calculate the smallest common multiple of 20 and n.
140
Suppose l - j = 11, 5*j - 26 = -3*l + j. Calculate the common denominator of 6/2 - (3 - 222/(-44)) and ((-124)/(-30))/((-24)/l).
198
Suppose -4*j - 2 = -3*l + 2*l, -3*j - 9 = 3*l. Find the common denominator of (l/4)/(33/(-9)) and 89/20.
220
Suppose -v + 5 - 4 = 0. Suppose o = v + 5. Suppose 0 = 2*k + 2*k + 2*c + 2, -k = c + 3. Calculate the least common multiple of k and o.
6
Find the common denominator of 43 and (-8)/(-2) + (-1899)/288.
32
Suppose -5 = -3*t - b - 13, 5*b = t + 24. Calculate the common denominator of t/16 + 15/(-9) and (-4)/6 - 83/(-48).
48
Let d = -9 - -10. Calculate the common denominator of 70/(-10 - (-1)/d) and 101/4.
36
Suppose -4*n - 3*h = 46, -5*n - 2*h - h - 56 = 0. Find the common denominator of ((-116)/(-90))/((-84)/105) and 2/n - 81/(-20).
180
Suppose 5*m = 271 + 9. Suppose -4*q = -0*q - m. What is the lowest common multiple of q and 18?
126
Let r be 6*-43*6/(-4). Calculate the common denominator of 4/22 - r/(-594) and 87/16.
48
What is the lowest common multiple of 12/(-8) - 124/(-8) and 2?
14
Let g(n) = n + 7. Let h be 12/18 - (-14)/(-3). Let m be g(h). What is the smallest common multiple of 6 and 0 + m/(6/20)?
30
Let h = 0 - -10. Calculate the least common multiple of 44 and h.
220
Let p = -12 + 32. Let j = 66 - 24. Let o = j + -24. Calculate the smallest common multiple of p and o.
180
Let k(d) = -d**2 - 7*d + 1. Let h(l) = l - 4. Let t be h(8). Suppose t + 0 = w. What is the lowest common multiple of w and k(-6)?
28
Let p = 2049/2 + -1053. Find the common denominator of 4/(-6) + (-687)/(-180) and p.
20
Suppose -4*n - 6*w = -w - 23, -3*n - 2*w + 12 = 0. What is the smallest common multiple of n and 1?
2
Suppose 0 = -k + 2*c + 6, 0 = c - 0*c - 2. Suppose 2*p - k = 12. What is the least common multiple of 10 and p?
110
Let z(j) = -j**3 - 3*j**2 + j - 4. Let o be z(-5). Find the common denominator of (106/(-4) + 1)/(-6) and (o + -2)*1/22.
44
Let f = 0 - -4. Suppose -4*v = 2*u - 76, -2*v - 2*v + 72 = f*u. Calculate the smallest common multiple of v and 22.
220
Let d(k) = k**3 + k**2 - k + 23. Let v be 0 + 2/(-2) + 1. Let o be d(v). Let z = o + -3. Calculate the lowest common multiple of 2 and z.
20
Suppose 2*d - 3 = 5. Let j = 1 + d. What is the least common multiple of 11 and j?
55
Suppose -5*u + 7 = 32. Let w = 9 + u. What is the smallest common multiple of 6 and w?
12
Let d(k) = 3*k - 7. Let v be d(3). What is the smallest common multiple of 100/12 + v/(-6 | {
"pile_set_name": "DM Mathematics"
} |
n 12*d + 13*d - 51775*d**2 + 2 - 2 + 51774*d**2 - 25*d.
-d**2
Collect the terms in 116*q - 116*q + 815371*q**3.
815371*q**3
Collect the terms in 10341*r + 2*r**3 - 10341*r - 4263669*r**2 + 4263669*r**2.
2*r**3
Collect the terms in 57*t + 23*t - 6498 + 19290.
80*t + 12792
Collect the terms in -644261 - 140*k**2 - 4*k + 4*k + 644261.
-140*k**2
Collect the terms in 1163*y**3 + 17*y**2 + 248*y**3 - 63*y**2.
1411*y**3 - 46*y**2
Collect the terms in 3*t + t - 51699900 + 51699869 - t**2 - 6*t.
-t**2 - 2*t - 31
Collect the terms in -27 - 19 - 1 - 26*l**2 + 47 - 14*l**2.
-40*l**2
Collect the terms in 300*s**3 + 180*s**2 - 180*s**2 - 559*s**3 + 328*s**3.
69*s**3
Collect the terms in 39 - 37 - 1221*u**2 + 23*u**2 - 288*u**2.
-1486*u**2 + 2
Collect the terms in -4188*l + 829*l + 828*l + 835*l + 830*l + 870*l + 1.
4*l + 1
Collect the terms in 16*u**2 + 8*u**2 + 14*u**2 - 28*u**2 - 32 - 11*u**2.
-u**2 - 32
Collect the terms in -201616*c - 2862547 + 2862547.
-201616*c
Collect the terms in -271*y**2 - 280*y**2 + 829*y**2 - 285*y**2.
-7*y**2
Collect the terms in -3547*k**3 + 197 - 384 + 3550*k**3 + 160.
3*k**3 - 27
Collect the terms in -59891*d + 164393*d + 110946*d.
215448*d
Collect the terms in k - 362 - 336 - 281 + 1139 + 0*k.
k + 160
Collect the terms in -4011490*a + 8104816*a + 5260325*a.
9353651*a
Collect the terms in -18*s - 37969 + 19*s - 17233.
s - 55202
Collect the terms in -16*n**2 - 1703*n + 1705*n + 12*n**2 - 2*n**2 - 20*n**2.
-26*n**2 + 2*n
Collect the terms in -3 + 701495*y - 17728*y + 4 + 1.
683767*y + 2
Collect the terms in 36*v**2 + 116*v**2 - 12*v**2 + 22870 - 22870 + 68*v**2.
208*v**2
Collect the terms in -1379 - 146*p**3 + 112*p**3 + 33*p**3 + 1379.
-p**3
Collect the terms in 12257*j - 1935*j**2 - 2 - 12257*j.
-1935*j**2 - 2
Collect the terms in -2*g**2 + 7087*g**3 + g**2 - 41986*g**3 - 8406*g**3.
-43305*g**3 - g**2
Collect the terms in -1822*q + 3523*q - 2143*q.
-442*q
Collect the terms in -31*o + 580 - 580 + 553*o.
522*o
Collect the terms in -f**2 + 27*f + 104*f + 10*f - f**3 + f**2.
-f**3 + 141*f
Collect the terms in -4*c + 3642697 - 3642697 + 4*c + 95*c**2 - 102*c**2.
-7*c**2
Collect the terms in 12*s + 20*s - 90*s - 2 - 10*s - 151*s.
-219*s - 2
Collect the terms in 3055 - 2205 - 9168 - 91*l.
-91*l - 8318
Collect the terms in -2290494*b + 4584861*b - 2294347*b.
20*b
Collect the terms in -2110*b + 94*b + 132*b.
-1884*b
Collect the terms in 338507*j**2 + 5 - 5 - 677335*j**2 + 338803*j**2.
-25*j**2
Collect the terms in -3*r**3 + 19883084894*r - 19883084894*r + 2*r**3.
-r**3
Collect the terms in -121*a + 122*a + 297 + 192 + 34*a**2 + 20*a**2 - 489.
54*a**2 + a
Collect the terms in 117*m**2 + 18 - 160*m**2 + 630*m**2 + 432*m**2.
1019*m**2 + 18
Collect the terms in 0*t**2 + 2*t + 4*t**2 + 6*t**2 - 2*t**2 - 16*t**2 + 61.
-8*t**2 + 2*t + 61
Collect the terms in 9*o**3 + 10428*o**2 - 16829*o**2 + 6401*o**2.
9*o**3
Collect the terms in -1270*m**2 + 30 + 36 + 893*m**2 - 102 + 36.
-377*m**2
Collect the terms in 42*p**3 - 42*p**3 + 20*p**3 - 8*p + 27*p**3 + 29*p.
47*p**3 + 21*p
Collect the terms in 800068*p**2 - 266656*p**2 - 266657*p**2 - 266749*p**2.
6*p**2
Collect the terms in -3436323*b**3 + 2204372*b**3 - 10392045*b**3 - 985260*b**3.
-12609256*b**3
Collect the terms in 109*l - 23*l + 57*l + 56*l.
199*l
Collect the terms in 2 + 694*r + 695*r + 698*r - 3477*r + 698*r + 695*r.
3*r + 2
Collect the terms in -19999745 + 17*p**3 + 19999745.
17*p**3
Collect the terms in -709*j**3 - 3497*j**3 - 2923*j**3.
-7129*j**3
Collect the terms in 128*n + 84*n + 137*n.
349*n
Collect the terms in 18 - 46 + 13 + 14 + 20395*i.
20395*i - 1
Collect the terms in -1356 + 15*n + 2179*n**3 + 1356.
2179*n**3 + 15*n
Collect the terms in -4*w**2 + 2*w - 54 - 45 + 132 - 37.
-4*w**2 + 2*w - 4
Collect the terms in 17*d - 1003877 + 1003877.
17*d
Collect the terms in -21509*r + 66670*r - 45171*r.
-10*r
Collect the terms in 16 + 38219*k - 19 + 3.
38219*k
Collect the terms in 72*i + 164*i**2 - 10 - 168*i**2 + 11 + 5 - 10*i.
-4*i**2 + 62*i + 6
Collect the terms in 1007357167 + 2*i + 2*i**2 - 1007357167 - 2*i.
2*i**2
Collect the terms in -40304 + 13442 + 13421 - 57*c + 13437.
-57*c - 4
Collect the terms in 0*i**3 + 142 - 142 - 23*i**3 - 16*i**3 - i.
-39*i**3 - i
Collect the terms in -19*g + g + 39076*g**3 + 7*g + 11*g.
39076*g**3
Collect the terms in 4262*x - 129853 + 129853.
4262*x
Collect the terms in -5*w**2 - 1516804*w + 1516804*w.
-5*w**2
Collect the terms in -4 - 4367497*p - 6*p**3 + 3*p**3 + 4367490*p + 4.
-3*p**3 - 7*p
Collect the terms in -72*n**3 + 971 - 971 + 4*n + 19*n**3.
-53*n**3 + 4*n
Collect the terms in -15*g**2 - 6*g**2 - 11*g**2 - 5*g**2 - 2863*g + 36*g**2.
-g**2 - 2863*g
Collect the terms in -12406*j**3 + 66362*j**2 - 66362*j**2.
-12406*j**3
Collect the terms in -79520*x + 158760*x - 79236*x.
4*x
Collect the terms in -5*s - s + 9*s - 4*s + 144853.
-s + 144853
Collect the terms in 109743 + 0*u + 2*u - 31363 + 2*u**3 + 0*u**3.
2*u**3 + 2*u + 78380
Collect the terms in -6958*l**2 + 0*l**3 + 13934*l**2 - 6976*l**2 + 5*l**3 + 13 - 2*l**3.
3*l**3 + 13
Collect the terms in -148*a - 286939*a**2 + 286995*a**2 + 148*a.
56*a**2
Collect the terms in 47*f**3 - 437*f**3 + 400*f**3 + 20*f**3.
30*f**3
Collect the terms in 2*d + 130*d**2 - 1249*d**2 + 0*d + 7*d**2 + 340*d**2.
-772*d**2 + 2*d
Collect the terms in 102*g - 791841*g**2 - 46*g + 791844*g**2 - 56*g.
3*g**2
Collect the terms in -50*s + 105*s - 52*s + 4*s**3 + 6*s**3.
10*s**3 + 3*s
Collect the terms in -143*m**3 + 225*m + 545*m**3 - 225*m + 668*m**3.
1070*m**3
Collect the terms in 216 + 1308*q - 108 + 9*q**2 - 656*q - 108 - 652*q.
9*q**2
Collect the terms in -67*x**3 + 16*x**3 + 11*x**3 + 17*x**3 - 2*x**3 + 10*x**3 + 11*x**3.
-4*x**3
Collect the terms in -43 + 20*j - 804*j + 51 - 1189*j - 6.
-1973*j + 2
Collect the terms in -5013*j**2 + 44*j - 13*j - 33*j.
-5013*j**2 - 2*j
Collect the terms in 23*b - 23*b - 327404*b**2.
-327404*b**2
Collect the terms in -72*k - 74*k - 66*k - 60*k + 369*k - 87*k.
10*k
Collect the terms in 2*n + 17*n**2 + 44*n - 6*n**2 + 101*n**2.
112*n**2 + 46*n
Collect the terms in 881*o - 237*o - 1 - 223*o - 228*o - 229*o.
-36*o - 1
Collect the terms in -1316*m**3 - 361*m**3 + 830*m**2 - 830*m**2.
-1677*m**3
Collect the terms in 7555*v**3 - 7071*v**3 + 11331*v**3.
11815*v**3
Collect the terms in 2572*v**2 + 2781*v**2 - 4670*v**2 - 6*v + 4*v.
683*v**2 - 2*v
Collect the terms in -10732077*f + 1056 + 10732088*f - 1056.
11*f
Collect the terms in -173*w + 423*w + 1282 - 191*w.
59*w + 1282
Collect the terms in 390711829*b**3 - 390711828*b**3 + 18*b**2 - 18*b**2.
b**3
Collect the terms in 25128*c**2 - 18076*c**2 - 121404*c**2.
-114352*c**2
Collect the terms in 15*d**3 - 257 - 6*d**3 + 11*d + 4*d**3 - 2*d**3.
11*d**3 + 11*d - 257
Collect the terms in -1094*l - 49979*l**2 - 16421*l**2 + 1093*l.
-66400*l**2 - l
Collect the terms in 382*u**2 - 362*u**2 - 110*u**2.
-90*u**2
Collect the terms in -980*s**2 - 17445154*s**3 + 17445165*s**3 + 1831*s**2 - 851*s**2.
11*s**3
Collect the terms in -2*b**2 + 6 - 1717572*b + 9 - 12.
-2*b**2 - 1717572*b + 3
Collect the terms in -x + 1959*x**2 + 1968*x**2 - x + x + 1924*x**2 - 5922*x**2.
-71*x**2 - x
Collect the terms in -85*u**3 + 78*u + 226*u**3 + 81*u - 60*u**3 - 77*u**3 - 159*u.
4*u**3
Collect the terms in 1123*h + 460*h - 306*h.
1277*h
Collect the terms in 11*z**3 - 12122*z + 6*z**3 + 9639*z + 2483*z - 7*z**2.
17*z**3 - 7*z**2
Collect the terms in 956*h**2 + 960*h**2 + 963*h**2 - 2881*h**2 + 241.
-2*h**2 + 241
Collect the terms in -6*u**2 + 3*u**2 + 5822 + u + 5*u**2 + 6*u**2.
8*u**2 + u + 5822
Collect the terms in 46*l - 226*l + 51*l + 50*l + 26*l + 55*l.
2*l
Collect the terms in 1 - 1 + 2569*d + 0 + 2800*d + 1470*d.
6839*d
Collect the terms in 0*i + 20 - 168 + 128 + 9*i + 23 - 11*i.
-2*i + 3
Collect the terms in 331618274696 - 331618274696 + 23*h**2.
23*h**2
Collect the terms in 0*n**2 - 1815902 + 1815902 - 3*n**2 + n**2 + 31*n.
-2*n**2 + 31*n
Collect the terms in -326034*y**3 + 652079*y**3 - 326033*y**3.
12*y**3
Collect the terms in -10 - 804613*b**2 + 15 + 5 + 804553*b**2.
-60*b**2 + 10
Collect the terms in 1 - 34010048*h + 34010048*h - 2*h**2.
-2*h**2 + 1
Collect the terms in -48 + 38 + 12 - 20863*c**2.
-20863*c**2 + 2
Collect the terms in 1524*y**2 - 4*y + 4*y + 7 | {
"pile_set_name": "DM Mathematics"
} |
Simplify ((h*h/h**(-6/5))/h**2*h*h/(h*(h*h/(h/(h**(-6)*h))*h*h)/h*h)*h**(-1/9))/(((h/(h*h**0*h*h))/h)**(-46/3))**(-24) assuming h is positive.
h**(49864/45)
Simplify ((a**(-3)/a**(-2/9))/(a**(-7)*a**6*a))/(a*a**5*(a**(-6)*a)/a*a*a**(3/5)/a*((a*a**(-6))/a)/a) assuming a is positive.
a**(163/45)
Simplify ((d/(d/(d/d**(-6/17))*d)*d**(5/7))/(d**(-15)/d**4))**(3/19) assuming d is positive.
d**(7164/2261)
Simplify ((x**7/x*x)/(x*x**1)*(x*(x*x**(-1/4)*x)/x)**44)/((x**2)**26)**(-44) assuming x is positive.
x**2370
Simplify ((u*(u/u**(2/5))/u*u/(u**2/u))/(u**(3/2)/(u*(u*u/u**(-4)*u)/u*u)))/((u*u**1/u)**(1/36)/(u**(2/7))**(-5/9)) assuming u is positive.
u**(8711/1260)
Simplify r**(-26)*(r/r**(-2/17))/r*(r*r*(r/(r/(r*(((r*r**(22/5)/r)/r)/r*r)/r)))/r)**(-18) assuming r is positive.
r**(-8932/85)
Simplify ((j/((j/j**0)/j))**(2/13)/((j*j**3)/j**(2/3)))/((j/((((j/(j/j**(-1)*j))/j)/j*j)/j))/j*((j/(j*j**(-2/7)/j))/j)/j)**13 assuming j is positive.
j**(-12529/273)
Simplify ((a*a**(2/3))/(a/(a/(a*a*a**(2/17)*a))*a))/(a**3*a**(2/15))*(a**(-1/3)/a**(-1/6))/(a**(1/3))**(-37) assuming a is positive.
a**(1119/170)
Simplify ((s**0*s)**(-50)/(s*s/(s**(1/3)/s)*s)**(-10))/(s**(2/9)/(s*s**(-4)*s))**10 assuming s is positive.
s**(-320/9)
Simplify ((t*t*t*t**(-3/4)*t)/t**(-5))**(5/7)/((t**(2/11)*t/(t*t/((t*t**(6/7))/t)))/((t*t**3)/t**0)) assuming t is positive.
t**(3035/308)
Simplify (y**(7/2)*y**7*(y**(-2/11)*y)/y**(-1/9))**21 assuming y is positive.
y**(15841/66)
Simplify (((t**(-3/5)*t/t**(2/5))**(-44))**(3/2))**(11/4) assuming t is positive.
1
Simplify (u**(12/13))**(-2/35)/((u*u/u**(13/6))/(u/((u**(-1/31)/u)/u))) assuming u is positive.
u**(266261/84630)
Simplify ((((z*z**(-7)/z*z)/(z*z/z**(-14)*z))/((z/(z/(z/((z**(-1/2)*z*z)/z*z*z)))*z*z*z)/z)**38)**32)**(-14/5) assuming z is positive.
z**(18816/5)
Simplify ((t*t**(1/3)*t)/t)**(-2/7)/(t/(t**(-3/2)/t)*t/(t*t**(-2)))*(t**2)**(-28)*(t/t**(-2/21))/t*t**(-1/5)*t assuming t is positive.
t**(-4269/70)
Simplify (h**2*h*h**(-5/7))**43*(h**(2/3)/(h/(h*h**(-3))*h))/(h**(-1)/(h/((h/(h*(h**(-3/4)/h)/h))/h))) assuming h is positive.
h**(7997/84)
Simplify ((d**(-2/9))**(-1/44))**(2/61)/((d**1*d*d**(-1/4)*d)/((d**(-1/10)*d)/(d*d*d*d/d**7))) assuming d is positive.
d**(138917/120780)
Simplify (((l/((l/l**(-2/7))/l)*l*l*l*l**(2/11))/(l**(-2/3)*l*l/(l*l**(3/14))*l))**(2/29))**(-22/3) assuming l is positive.
l**(-2566/1827)
Simplify ((o**(-3/5)*o*o**(4/9)*o*(o/(o/(o**(1/4)*o*o)))**(1/53))**36)**(-5/17) assuming o is positive.
o**(-18001/901)
Simplify ((k**(2/9)/k*k)**(-2/79)*(k**(-5/2)/k*k)/(k**1*k))**(-35/4) assuming k is positive.
k**(224245/5688)
Simplify (s**5)**(-4/11)/((s*s*s*s**37*s)/(s*(s/((s/s**(-43))/s))/s)) assuming s is positive.
s**(-933/11)
Simplify (u**1)**(-16)/(u**(-2/13)*u**1)*(u*u*u**6)/((u/((u*u/(u/(u*u**(-1/5)))*u*u)/u))/u)*u/(u**(-3)*u)*u**(-2) assuming u is positive.
u**(-328/65)
Simplify ((v**2*v**(3/2))/((v*v**(2/3)*v)/v)**(-42))/((v**0/v)/v*((v*v**(1/12)*v)/v*v)/v*((v*v*v**(-2/11)*v)/v)**(-24)) assuming v is positive.
v**(15583/132)
Simplify ((v**(2/3))**(-18/5)/(v*v**(1/7))**(3/19))**(-9) assuming v is positive.
v**(15444/665)
Simplify ((h/h**(2/11))/((h*(h*h**1)/h)/h)*(h*h/(h*h**(-4)))/(h*h/h**(2/15)))/(h*h*(h/h**(-9))/h*(h*h**(6/11))/h)**(-21) assuming h is positive.
h**(40492/165)
Simplify (t**26/t)**(2/11)*(t**(-10))**(1/20) assuming t is positive.
t**(89/22)
Simplify (g**(-1/4))**(-3/29)/(g**(-1))**(-14/3)*(g**(1/3))**(-2/81)/(g**3*g*g**(-1/16)/g) assuming g is positive.
g**(-855397/112752)
Simplify ((((y/y**(2/5)*y*y)/y)/y)**31*y**(4/9)*y*y**(3/7))/((y**(-2)/y)/(y/(y**(-2)*y))*(y*y*y**(-2)*y)/(y*y**(-7)/y)) assuming y is positive.
y**(5504/315)
Simplify ((((o*o**27)/o)/o*o*((o**(1/7)/o)/o)/o)/((o/(o/o**37*o)*o)/o*o*o/((o/(o*o*o**(-34)*o))/o*o)))**26 assuming o is positive.
o**(3302/7)
Simplify ((z**(-2/15))**(-10)/(z*z**(-3))**50)**14 assuming z is positive.
z**(4256/3)
Simplify (((b*b**2/b*b)/b)**(2/47))**(-49)/((((b*b/(b**(-3)*b)*b)/b*b)/(b/b**3))/(b*b/b**(1/4))**(1/57)) assuming b is positive.
b**(-119371/10716)
Simplify (k/(k*k**(-2/3))*k/k**(-2))**41*(k/(k/k**(-9))*k*(k*k*(k/((k**3*k)/k*k)*k)/k*k)/k)**(2/139) assuming k is positive.
k**(62635/417)
Simplify ((z*z/((z*(z**(-5/2)/z)/z)/z))/z**(-1/7)*(z*z*((z*z/(z*z**(1/3)))/z)/z*z)/z**4)/(z**(-5)/(z/z**3*z*z))**32 assuming z is positive.
z**(6901/42)
Simplify (((((q/(q/(q**20*q*q)))/q)/q*q**(1/4))**3)**38)**(5/8) assuming q is positive.
q**(23085/16)
Simplify ((t/(t**(-1/10)*t)*t)/(t*t**(-1)))/(t*t*t**(1/2)*t*t)**(1/24)*((t**(-1/3))**(-25))**(-20) assuming t is positive.
t**(-39781/240)
Simplify (n**(-1))**(1/16)*(n*n*n**(1/3))**(-7/4)*(n*n**(-2/3))**(-6/35)*(n/(n/((n/((n/n**(1/2))/n*n))/n)))**(-29) assuming n is positive.
n**(17299/1680)
Simplify (((l/(l/(l**(-1)/l))*l)**(17/2)/((l*(l/l**(4/5))/l*l*l*l*l)/l**(-7)))**24)**(-32) assuming l is positive.
l**(75648/5)
Simplify (s/(s*s**(-2/3))*(s/(s/s**3))/s)**(2/19)/((s**(-6/11)*s)/(s*s**0/s))**(7/6) assuming s is positive.
s**(-313/1254)
Simplify ((((x**(-5)*x*x)/x)/(x/(x/(x*(x/(x*x*x**8*x))/x))))/(x**(-2/5))**(4/19))/((x**(-2/5)*x)**(3/25)/(x**(-7)/x**(-1/4))) assuming x is positive.
x**(-7009/9500)
Simplify ((v**(1/4)/v)/v**(-9/10))/(v*v*v*v/((v*v*v*v/(((v*((v**(1/5)/v)/v)/v)/v)/v))/v))**(-8) assuming v is positive.
v**(-89/4)
Simplify (l/(l/l**26))/l*l**(4/17)*l*(l/(l*l/l**(-2/13))*l)/(l*l**(-33)*l) assuming l is positive.
l**(12615/221)
Simplify u**6/u**(-3/5)*(u*u**0*u)**(2/89)*(u**(-1)*u)**(-43)*(u**(-2/7))**(1/19) assuming u is positive.
u**(392391/59185)
Simplify ((((n**(-1/2)/n)/n)/n)**(-3/32)/(n*n**(2/3)*n*n**(-1/5)/n*n))/(n*n**(1/3)*(n**(-2)/n)/n)**(-5) assuming n is positive.
n**(-4951/320)
Simplify (((k/k**(-8)*k)/k)**(-2/3)/(k**(-1/3)/((((k/(k*k**(-2/41)))/k)/k)/k*k)))**5 assuming k is positive.
k**(-4685/123)
Simplify (o*o**(3/10))/o**3*(o/(o**2/o))/(o/(o*o*o/(o*o**7)*o))*(o*o**(1/2)/o*o)**(-19)*o/(o**(-1/4)*o)*o**2 assuming o is positive.
o**(-659/20)
Simplify ((t*t**0)**(-2/75)*t**(3/4)*t/(t*t**(-3/5)))/((t/t**(-4/9))/t**(-14))**(-6/7) assuming t is positive.
t**(10193/700)
Simplify ((x**(-7))**(-10/11)*x**(-3/4)/(x/((x*x**(6/5))/x)))**6 assuming x is positive.
x**(3837/110)
Simplify (r*r**(-6/7)/r*r**(3/2))**(-44)/(((r**(-1/13)/r)/(r/(r**0*r*r)))/(r**5*r*r**(3/2))) assuming r is positive.
r**(-3769/182)
Simplify ((f**2)**(3/2)*(f/f**(-4/5))/f**(-3))/((f*f**(-1))**(-1/3)/(f/(f/(f*f**(-1/5)))*f*f**(4/5))) assuming f is positive.
f**(52/5)
Simplify ((((a/a**(-1/4))/a)/a)/a)**(-1/47)*((a/(a*a/a**(-35)*a)*a*a)/a*a)**(-10/9) assuming a is positive.
a**(65863/1692)
Simplify (c*(c*c**1)/c*c)**(3/25)/(c**(-6)/(c/c**4))*((c**1)**30)**32 assuming c is positive.
c**(24084/25)
Simplify ((k**(-44))**2*(k**(-22))**(-1))**16 assuming k is positive.
k**(-1056)
Simplify (u**(2/3)*u*u*u*u**(-5)/u*u*u*u)/(u/u**(-1))**(-2/37)*(((u/u**(2/5))/u)**(-1/24))**48 assuming u is positive.
u**(874/555)
Simplify (((o/o**(-16))/o*o**(-2/11)*o)/(o*o**(-21)*o**(3/11)))**28 assuming o is positive.
o**(11256/11)
Simplify (c**(1/3)/(((c**(-7)/c*c)/c*c)/c))**33*(c**(-2/7)/c)**(-47)/(c**5/((c*c**(2/13)/c*c)/c)) assuming c is positive.
c**(30083/91)
Simplify (((c*(((c/c**(-1/5))/c)/c)/c)/c**(-7/6))/((c*(c**(-3)*c)/c)/c*c**(4/3)))**(-1/38) assuming c is positive.
c**(-61/1140)
Simplify ((c/(((c/(c*c/(c/(c*c**(1/4)*c)))*c)/c*c)/c))/(c**(2/7)*c))**(1/72)*((c/(c*c/c**(-1)*c))**0)**(3/26) assuming c is positive.
c**(55/2016)
Simplify ((g/(g/g**1))**29/(g**(-5)/(g*g*g*g**(-3)*g)))/((g**3*g)/g**(-1/4)*g**6/(g**6/g)) assuming g is positive.
g**(119/4)
Simplify (c/((c*c*c**8*c)/c)*c*(c*c/c**43)/c*c)/(c*c**(17/5)*c)**(2/63) assuming c is positive.
c**(-1721/35)
Simplify (v**(-3)*v**(-23)*v*v**6*v**22*v)**(-4/3) assuming v is positive.
v**(-16/3)
Simplify ((b**(-8)/b**8*b*b**(-5/2)*b**4)**4)**(-20) assuming b is positive.
b**1080
Simplify ((r/(r*r**(2/3)*r))/(r*r/(r/r**(6/11))*r))/(r**6/(r*r**(-1/3)))*(r**(1/2)*r**(1/3))/((r/(r*r**(2/9)))/r*r/(r/r**(3/2))) assuming r is positive.
r**(-890/99)
Simplify ((y**(3/2)/(y/y**(4/5)))/(y*y/(y/y**(2/3))*y)**43)/((y/(y**(-3/8)/y))/(y**(-1/6)/y)*y/((y**(1/9)*y)/y)*y**(-3)) assuming y is positive.
y**(-41327/360)
Simplify (((d/d**(-3)*d/((d**4/d)/d*d))**(3/11))**25)**(-12) assuming d is positiv | {
"pile_set_name": "DM Mathematics"
} |
et u = -35 - b. Calculate the remainder when u is divided by 12.
9
Let u(a) = a**2 - 2*a + 8. Let m be u(6). Let w = m + -14. Calculate the remainder when w is divided by 10.
8
Let p(i) = i + 28. Let x be p(0). Suppose -x = -2*l - 2*t, 5*l - 5*t + 20 = 120. Let d = 27 + 5. Calculate the remainder when d is divided by l.
15
Suppose -m = 3 - 5. Suppose -h - m*h = -4*g + 12, -h = -4*g + 20. What is the remainder when g is divided by (1 - (-28)/(-4))/(9/(-6))?
2
Let z be (4 + -6 - -5) + 2. Let u(g) = g**3 + 2 - 3*g - 5*g**2 + 2*g + 2*g. Calculate the remainder when 12 is divided by u(z).
5
Let s(x) = 5*x**2 - x - 1. Let a be s(3). Suppose -4*l + 19 = -a. What is the remainder when 43 is divided by l?
13
Let k = -96 + 189. Calculate the remainder when k is divided by 24.
21
Suppose 3 = g - 1. Let s = 6 - g. What is the remainder when s is divided by 2?
0
Suppose 2*t + 6 = 3*t. Suppose 4*d + t*h - h = 66, 0 = -3*h + 6. Let a = 74 + -49. What is the remainder when a is divided by d?
11
Suppose 5*p - 9 = 4*z, 3*p - 18 - 5 = -2*z. Suppose 3*j = -d + 35, -z*j + j - 4*d = -41. What is the remainder when j is divided by 3?
2
Let d(w) = 3*w - 24. Let r(h) = -h + 10. Calculate the remainder when r(6) is divided by d(9).
1
Suppose 5*k - 265 + 45 = 0. Let j = -26 - -38. What is the remainder when k is divided by j?
8
Suppose p - 6 - 1 = 0. Let n(s) = 2*s**3 - 2*s**2 - 2*s - 4. What is the remainder when n(3) is divided by p?
5
Let c(u) = -u**2 + u + 3. Let b be c(3). Suppose -7 - 20 = -g - 3*w, -5*w + 25 = 0. Calculate the remainder when (-2)/(-3) - 64/b is divided by g.
10
Suppose 0*p - 4*p = -c - 12, -3*c + p = -8. Suppose -2*j - 4*r = -24, j - 15 = c*r - 5*r. Calculate the remainder when 70 is divided by j.
16
Let g = 73 - -25. What is the remainder when g is divided by 33?
32
Let b = 5 - -29. Suppose -d + 23 - 5 = 0. Calculate the remainder when b is divided by d.
16
Let x(h) = -h**2 - h + 4. Let p = 12 - 1. Calculate the remainder when p is divided by x(0).
3
Suppose -3*k = -4*v + 2*k + 61, -v + k + 15 = 0. What is the remainder when v is divided by 8?
6
Suppose -3*i + 3 = -3. What is the remainder when 4 is divided by i?
0
Calculate the remainder when (-2)/(-4)*11*4 is divided by (2 - -7) + 12/4.
10
Suppose 2*l = -3*d, -l + 0*l + 5 = -d. Suppose -v - 14 = -3*g, 2*g = -4*v - v - 19. Suppose -4*p = -g - 1. What is the remainder when l is divided by p?
0
Suppose 0 = -2*h + 14 + 6. Calculate the remainder when 59 is divided by h.
9
Suppose 2 = -0*d - d, 2*o = 2*d - 16. Let k = 6 - o. What is the remainder when 46 is divided by k?
14
Suppose -5*d + 3*u - 33 = 0, -u = 4*u - 5. Let x be (4/6)/(2/d). What is the remainder when (0 - 5/x)*2 is divided by 3?
2
Suppose 37 = 11*p - 18. Calculate the remainder when 8 is divided by p.
3
Suppose 14 = -4*q + 86. Let s = q - 11. What is the remainder when 18 is divided by s?
4
Suppose 0 = -g + 3*g + 2, 149 = 4*k + 3*g. What is the remainder when 73 is divided by k?
35
Calculate the remainder when 33 is divided by (-19)/(-2) + (-2)/((-12)/(-3)).
6
Let l(r) = 18*r + 3. Suppose -2*x - 3*x = -70. Calculate the remainder when l(2) is divided by x.
11
Let r(j) = 2*j**2 - 5*j - 2. What is the remainder when 18 is divided by r(4)?
8
Let v(b) = 2*b**2 + 4*b - 1. What is the remainder when v(5) is divided by 18?
15
Let q(g) = -g**2 - 5*g + 1. Let m(y) = -32*y + 4. Let k be m(-3). Calculate the remainder when ((-4)/10)/((-2)/k) is divided by q(-3).
6
Let c = 244 - 105. What is the remainder when c is divided by 36?
31
Let c = 12 + -8. Calculate the remainder when c is divided by (1*-2 - 0)*-1.
0
Suppose -7*u - 343 = -14*u. Suppose -4*g - 52 = -4*l, 4*g - 26 = -0*l - 2*l. What is the remainder when u is divided by l?
10
Let h(t) = t**3 + 10*t**2 - t + 4. Suppose 4*f = -2*o - 40, -5 = 3*o - 3*f - 2*f. What is the remainder when h(o) is divided by 4?
2
Let v be -12 - ((1 - -2) + 0). Let z = v - -21. What is the remainder when 11 is divided by z?
5
Let p = 98 + 36. Calculate the remainder when p is divided by 34.
32
Suppose 4*z + 14 = 3*j - 3, 0 = 3*j + 5*z - 53. Let s = 66 + -35. Calculate the remainder when s is divided by j.
9
Let p(t) = 11*t. Let w = -30 - -71. Calculate the remainder when w is divided by p(1).
8
Let s(l) = l**3 + 2*l**2 - 6*l - 3. Calculate the remainder when 30 is divided by s(-3).
0
Suppose 3*n = -17 - 22. Let o = 46 - 23. Let y = n + o. Calculate the remainder when y is divided by 6.
4
Let r(q) = -2*q**3 - q**2 - 3*q - 3. Let f(d) = d**3 - 6*d**2 + 4*d + 3. Let b be f(5). Let o = -99 - -128. Calculate the remainder when o is divided by r(b).
14
Suppose 5*d - 4*d - 3*s - 5 = 0, 19 = d + 4*s. Suppose 25 + d = 3*q. Let b(p) = p**3 + 8*p**2 + p - 7. What is the remainder when b(-7) is divided by q?
11
Suppose 0 = -0*a - 4*a - 2*p + 150, 5*a - 191 = p. Suppose -5*x = 4*z - a, -x + 15 = 2*x + 5*z. What is the remainder when 28 is divided by x?
8
Calculate the remainder when 6/(-14) - (-1590)/35 is divided by 16.
13
Let u be (-6 - -17) + -4 + 1. Suppose u + 22 = 2*z. What is the remainder when 42 is divided by z?
12
Let h(o) = -4*o - 6. Calculate the remainder when 49 is divided by h(-5).
7
Let o be (-7)/(4/1 + -3). Let a = o - -9. Suppose 3*f = -4*w + 112, -2*f - 59 = -a*w - 17. Calculate the remainder when w is divided by 13.
12
Let m = 10 + -10. Let u = 3 - m. What is the remainder when 6 is divided by u?
0
Let f(y) = y**2 - y - 1. Let r = 5 + 0. Let x be f(r). Suppose 0 = -w + 6 + x. What is the remainder when w is divided by 13?
12
Suppose h = n - 5*n + 25, 4*n = h + 7. Let c = -38 - -58. Let w = c - 4. Calculate the remainder when w is divided by h.
7
Suppose 3*l + 104 = 7*l. What is the remainder when l is divided by 3?
2
Suppose -169 = -4*f + 3. Let a = -11 + 26. What is the remainder when f is divided by a?
13
Suppose -6 - 2 = -4*p. What is the remainder when 36/p*3/6 is divided by 4?
1
Let t = 15 + -11. Suppose -t*x + 12 + 20 = 0. Calculate the remainder when 21 is divided by x.
5
Suppose -2*o = 2*k + 3*k - 60, k = 2*o - 36. Let g(f) = 5 + 4*f - 4 - 2. What is the remainder when o is divided by g(2)?
6
Suppose 46 = c + 6. Calculate the remainder when c is divided by 21.
19
Suppose -2*f = 3*f - 10. Suppose -2*y = f*y - 100. What is the remainder when y is divided by 7?
4
Suppose 5*i - 26 = 3*w, -3*w + 30 = 5*i - 2*i. Calculate the remainder when 18 is divided by i.
4
Let f(q) = q**2 - 11*q - 72. What is the remainder when f(17) is divided by 8?
6
Suppose 3*i = 5*i + 4, -u + i = -19. Suppose -2*q + q = -2. Suppose 0 = 4*k - q*k - 100. Calculate the remainder when k is divided by u.
16
Suppose -4*i - 213 = -3*c - 0*i, -284 = -4*c + 2*i. Calculate the remainder when c is divided by 18.
17
Let t(n) = -n**3 - 6*n**2 + 9*n + 8. Let a be t(-7). What is the remainder when (-3 + 7)*(-33)/a is divided by 8?
6
Suppose 2*c - 26 = 4*n - 204, 0 = -n + 5*c + 31. Let j = -26 + n. What is the remainder when j is divided by 11?
9
Suppose -3*k - 3*h + h = -20, 5*h - 14 = -3*k. Let w = k + -6. What is the remainder when 3 is divided by w?
1
Let i be (4/(-6))/(4/(-42)). Suppose -10 = -2*r + 2*y, 2*y - 17 = -r + i*y. Suppose 0*g + 2 = r*g, 41 = 5*f + g. What is the remainder when 23 is divided by f?
7
What is the remainder when (-206)/(-4) + 8/16 is divided by 28?
24
Suppose 0 = -3*u + 5*t - 7 + 58, 2*t = 0. Suppose 4*o = -h + 49, 3*h = 4*o - 0*o + 211. Calculate the remainder when h is divided by u.
14
Suppose 10 = 2*k + 3*k. Suppose 14 = -3*i - k*i - 3*l, 2*i + 2*l = -8. Let m = 5 + i. What is the remainder when 6 is divided by m?
2
Let p = 47 + -26. Calculate the remainder when p is divided by 8.
5
Let g = 8 - 6. Calculate the remainder when 7 is divided by g.
1
Calculate the remainder when 91 is divided by ((-3)/(-6))/(4/184).
22
Let y(r) = r**3 + 14*r**2 + 20*r - 24. Calculate the remainder when 69 is divided by y(-12).
21
Calculate the remainder when 2/((-4)/(-52) - 0) is divided by 7.
5
Let z = 94 - 59. Suppose 0 = 3*t + 15, 5*o - 3*o = -t + 19. Calculate the remainder when z is divided by o.
11
Suppose 0 = -3*t - 4*q + 5*q + 128, 2*t - 87 = q. What is the remainder when t is divided by 21?
20
Suppose -3*t - 56 = t. Let n(c) = -c**3 - 14*c**2 - 2*c - 19. Calculate the remainder when 23 is divided by n(t).
5
Suppose 5*t | {
"pile_set_name": "DM Mathematics"
} |
-3*o - 1, 81 = n - 4*o. Calculate the remainder when n is divided by 13.
11
Suppose 10 = 4*t + 5*s - 11, t - 2*s = 15. What is the remainder when 34 is divided by t?
7
Let i(g) = -6*g - 5. Suppose 0 = -2*t - 4*s + 34, 5*t = -6*s + 3*s + 57. What is the remainder when i(-5) is divided by t?
7
Let x be 14/28 - (-10)/4. Suppose 0 = 2*g + 3*p - p - 40, 92 = 5*g - x*p. What is the remainder when 75 is divided by g?
18
Let h(d) be the first derivative of d**3/3 - 5*d**2/2 + d + 1. Let u = 16 + -9. What is the remainder when 43 is divided by h(u)?
13
What is the remainder when 4/((-11)/((-6325)/10)) is divided by 33?
32
Suppose -4*y = 2*q + 6, 0 = 5*q - 4*q - y - 3. Calculate the remainder when 2 is divided by q.
0
Let x(w) = 0*w + 3*w**2 - 4 - w + 4*w. Let c = 2 + -5. Calculate the remainder when x(c) is divided by 8.
6
Let j = 2 + 1. Suppose 0 = -o + j*o - 8. Calculate the remainder when 15 is divided by o.
3
Let w(n) = -16*n + 1. Suppose 0 = -3*z - 4*s - 8 + 1, -4*s = -4*z. What is the remainder when 32 is divided by w(z)?
15
Let a = 2 + -8. Calculate the remainder when 14 is divided by 4/a - 104/(-12).
6
Suppose -9 = d + 3*p - 61, -5*d + 3*p = -170. Calculate the remainder when 106 is divided by d.
32
Let k(r) = -4*r + 8. Let b be k(4). Let t(g) = -g - 3. What is the remainder when 7 is divided by t(b)?
2
Suppose -g + 37 + 49 = 3*m, 0 = -2*m + 2*g + 52. Calculate the remainder when m is divided by (-3)/2*(-100)/15.
8
Suppose -5*c = -i - 2 - 6, 2*c + 4 = 4*i. Let k = 20 + c. Calculate the remainder when k is divided by 6.
4
Suppose o + 5*w - 38 = 0, 0 = -w + 3*w. Let y(u) = -2*u + 1. Let d be y(-5). Suppose -d = -4*h + 41. Calculate the remainder when o is divided by h.
12
Suppose 0 = 4*a + 5*y - 83, 2*a = 6*y - 2*y + 22. What is the remainder when 31 is divided by a?
14
Suppose 0 = -35*k + 39*k - 52. Calculate the remainder when 178 is divided by k.
9
Let m = 55 - 35. What is the remainder when (2 - (-2 - -3))*m is divided by 11?
9
Suppose 5*m - 15 + 65 = 0. Let o = 27 + m. What is the remainder when 67 is divided by o?
16
Let s = -4 + 7. Let q(a) = 3*a**2 - 10*a - 6. What is the remainder when s is divided by q(4)?
1
Suppose 0 = -3*x, -2*m + 3*x + 28 = x. Let t(y) = 54*y**3 + 1. What is the remainder when t(1) is divided by m?
13
Suppose q - 14 = 5*b, -3*b - 30 = -4*q - 8. What is the remainder when 11 is divided by q?
3
Let f(x) = x**3 + 9*x**2 - x + 9. Let v be f(-9). Suppose v = 2*i - 0*i. Calculate the remainder when 43 is divided by i.
7
Let j = 544 + -354. Calculate the remainder when j is divided by 32.
30
Suppose 3*m + 45 - 129 = 3*l, -5*l + 15 = 0. What is the remainder when 61 is divided by m?
30
Suppose -24 = -5*u + 16. What is the remainder when u is divided by 3?
2
Suppose 12 = -3*s, 10 = d - 5*s - 45. What is the remainder when d is divided by 12?
11
Suppose 41 = 5*u - 54. Suppose -3*o + u = -5. Suppose 2*j + 74 - 118 = 0. What is the remainder when j is divided by o?
6
What is the remainder when 1176/39 + (-14)/91 is divided by 8?
6
Calculate the remainder when 14/(-28) + 50/4 is divided by 9.
3
Let w be (-55)/(-4) + 4/16. Let x = 4 - -5. Calculate the remainder when x is divided by w/(-35) + 44/10.
1
Suppose 24 = -0*i + 2*i. Suppose u - 4 + 1 = 0, i = s + 2*u. What is the remainder when 17 is divided by s?
5
Suppose -c - 5*b + 1 = -39, -b + 104 = 5*c. Suppose y - 76 = -3*y. Let o = y - -38. Calculate the remainder when o is divided by c.
17
Suppose -3*x + 8*x = 670. Suppose 0 = 3*u + 4*v - 113, u - 5*u + x = 2*v. Calculate the remainder when u is divided by 8.
7
Suppose i + 4*i = -2*a + 85, 65 = 5*i - 2*a. What is the remainder when 18 is divided by i?
3
Let t = 114 + -47. What is the remainder when t is divided by 17?
16
Let k = -1 - -1. Let p = 29 + k. What is the remainder when p is divided by 15?
14
Let x = -30 - -39. What is the remainder when 33 is divided by x?
6
Suppose 3*l = -l + 52. Calculate the remainder when 63 is divided by l.
11
Let u(t) = -t**2 + 3*t + 6. Let q be u(5). Let m(h) = -h**2 - 3*h + 4. Let p be m(q). Suppose -k + 15 = -p*k. What is the remainder when k is divided by 8?
7
Let l(h) = 33*h**2 - 3. Let q(i) = 50*i**2 - 5. Let t(n) = 8*l(n) - 5*q(n). What is the remainder when t(1) is divided by 6?
3
Let p = 33 + -23. Suppose 0 = 3*b + 4 - 142. What is the remainder when b is divided by 160/p*(-2)/(-2)?
14
Suppose 4 = y - 4. Let f be ((-4)/(-3))/(28/315). Let g = f - y. What is the remainder when g is divided by 4?
3
Suppose -3*t - t = -g - 173, -3*t - 2*g + 127 = 0. Let o(h) = -h**3 - 8*h**2 - 10*h - 6. What is the remainder when t is divided by o(-7)?
13
Let u(n) = n**2 - 4*n - 4. What is the remainder when u(-7) is divided by 15?
13
Let d = 150 - 85. What is the remainder when d is divided by ((-44)/6)/((-4)/12)?
21
Let u(x) = x**2 - 6*x + 3. Let b be u(5). Let f be 4/(-2) - 3*b. Suppose 19 = 2*h - 3*c + f*c, -4 = -2*h + 2*c. What is the remainder when 20 is divided by h?
6
Calculate the remainder when (-1)/(2/(-62) + 0) is divided by 16.
15
Let r(p) = -5*p + 1. Let x be r(1). What is the remainder when (-1)/x*0 + 5 is divided by 4?
1
Suppose 0 = 3*f - 70 + 16. Suppose -u - 4*r + f = -2*r, r = -2*u + 36. Suppose 3*d = -3*m + 22 + 2, -m + u = 3*d. What is the remainder when d is divided by 2?
1
Let h = 249 - 112. Calculate the remainder when h is divided by 28.
25
Let i = 104 - 82. What is the remainder when i is divided by 12?
10
Calculate the remainder when 117 is divided by (-20)/(-100) + 168/10.
15
Let g = -4 - -2. Let f = 18 + g. What is the remainder when 63 is divided by f?
15
Let s(p) = -p**3 - 3*p**2. Let c be s(-3). Let q = c + 0. Suppose q*b = -3*b + 57. What is the remainder when b is divided by 7?
5
Let u(t) = 34*t**2 + 2. Calculate the remainder when 106 is divided by u(-1).
34
Calculate the remainder when (6/3)/2 + 28 is divided by 17.
12
Let u = 91 - 79. What is the remainder when u is divided by 6?
0
Let z = 40 + -31. What is the remainder when 62 is divided by z?
8
Let y = -19 + 30. Suppose 2*c = 8*c - 186. Calculate the remainder when c is divided by y.
9
Let z be (-4)/(17/(-5) + 3). Let s = -6 + z. What is the remainder when 1/(-2) - (-162)/s is divided by 14?
12
Suppose -2*u + 3*u - 9 = -2*d, 3*u = 2*d - 21. Suppose 0 = 3*c - d*c. Let g(y) = -y**3 + y**2 + y + 8. What is the remainder when 22 is divided by g(c)?
6
Suppose 2*t = -0*t - 2. Let l(f) = 6*f**2 - f - 2. Calculate the remainder when 12 is divided by l(t).
2
Let c(s) = -8*s + 5. Calculate the remainder when 71 is divided by c(-4).
34
Calculate the remainder when 6 is divided by (-3)/2*(5 + 3)/(-4).
0
Let k(q) be the third derivative of q**5/60 + 11*q**4/24 + q**3 + 3*q**2. Calculate the remainder when 23 is divided by k(-11).
5
Let i(w) = w + 16. Suppose 13 = -3*o + 5*r, -o = -0*o + 5*r + 31. What is the remainder when i(o) is divided by 3?
2
Suppose 80 = -v + 2*v. What is the remainder when v is divided by 14?
10
Suppose -2*v + a - 4*a + 6 = 0, -5*v + a = -32. Suppose 0*d + 15 = d. What is the remainder when d is divided by v?
3
Suppose 3*z - 4*b - 128 = 0, 5*z - 6*b + b = 210. Calculate the remainder when z is divided by 12.
4
Suppose -5*j + 18 + 77 = 0. Let r(t) = -7*t + 12. Calculate the remainder when r(-6) is divided by j.
16
Suppose -2*z = z + 84. Let d = -19 - -36. What is the remainder when z*1/(-4)*7 is divided by d?
15
Suppose 4*a - 3*a - 197 = 0. What is the remainder when (-7)/(-42) + a/6 is divided by 9?
6
What is the remainder when 32 is divided by (1 + 1)*(-136)/(-16)?
15
Suppose 5*f = 4*s - 204, 5*s = 5*f - 132 + 387. Calculate the remainder when s is divided by 18.
15
Let n(l) = l - 8. Let w be n(-6). Let y = w + 20. Let o = 33 - 16. Calculate the remainder when o is divided by y.
5
Let d = 162 - 4. What is the remainder when d is divided by 27?
23
Suppose 5*v - v = 16. Let c = 27 + v. Suppose -4*k + 20 = 3*s, 3*s + 9 = -5*k + c. Calculate the remainder when s is divided by 3.
1
Let c = 15 + 144. What is the remainder when c is divided by 32?
31
Let b(g) be the third derivative of g**5/10 - g**4/12 + g**2. What is the remainder when b(2) is divided by (-2)/3*(-63)/6?
6
Let g(t) = 20*t + 2. Calculate the remainder when g(2) is divided by 11.
9
What is the remainder when 10/4*152/10 is divided by ((-6)/(- | {
"pile_set_name": "DM Mathematics"
} |
9}?
6/11
Two letters picked without replacement from lljllllj. What is prob of picking 1 j and 1 l?
3/7
Calculate prob of picking 2 x when two letters picked without replacement from xmf.
0
Calculate prob of picking 1 l and 2 m when three letters picked without replacement from {f: 2, l: 10, w: 6, m: 2}.
1/114
What is prob of picking 1 x, 1 s, and 2 q when four letters picked without replacement from qqqqcxxss?
4/21
Four letters picked without replacement from {j: 4, m: 4, x: 7}. Give prob of picking 2 x and 2 j.
6/65
What is prob of picking 2 g and 2 v when four letters picked without replacement from {g: 2, v: 6}?
3/14
Two letters picked without replacement from gcnwcnbnrrnwwb. What is prob of picking 2 b?
1/91
Calculate prob of picking 2 i and 2 y when four letters picked without replacement from {y: 4, i: 3}.
18/35
Two letters picked without replacement from jvggf. Give prob of picking 1 j and 1 g.
1/5
Four letters picked without replacement from {u: 6, o: 1, j: 2, h: 4}. What is prob of picking 1 h, 1 j, and 2 u?
24/143
Two letters picked without replacement from {k: 3, z: 9, v: 5, w: 1}. What is prob of picking 1 z and 1 w?
1/17
Calculate prob of picking 3 k and 1 f when four letters picked without replacement from ffkkkfafkkfffkffktf.
175/1938
Two letters picked without replacement from fdffddddifdidfdfd. What is prob of picking 2 f?
15/136
Calculate prob of picking 1 j and 1 k when two letters picked without replacement from {v: 2, j: 1, e: 1, k: 1}.
1/10
Two letters picked without replacement from luytlje. What is prob of picking 1 t and 1 e?
1/21
Three letters picked without replacement from khvkklhhlhkkkdk. Give prob of picking 1 v, 1 k, and 1 h.
4/65
Four letters picked without replacement from {d: 2, w: 5}. What is prob of picking 4 w?
1/7
What is prob of picking 1 c and 1 r when two letters picked without replacement from {z: 1, c: 1, r: 2, f: 1, g: 2}?
2/21
Calculate prob of picking 2 w when two letters picked without replacement from mwwwmww.
10/21
What is prob of picking 3 v when three letters picked without replacement from eegvevvven?
1/30
Calculate prob of picking 1 v and 2 c when three letters picked without replacement from {i: 1, v: 1, c: 7}.
1/4
Calculate prob of picking 3 y when three letters picked without replacement from {a: 6, t: 1, x: 2, y: 3, m: 4, n: 4}.
1/1140
Four letters picked without replacement from {c: 2, k: 5}. What is prob of picking 4 k?
1/7
What is prob of picking 1 j and 1 r when two letters picked without replacement from ojjjdmordodjdrjjo?
3/34
Two letters picked without replacement from qqnnnqniqqqnpeqpq. Give prob of picking 1 i and 1 e.
1/136
Calculate prob of picking 1 b and 1 o when two letters picked without replacement from {f: 1, o: 2, b: 1}.
1/3
Calculate prob of picking 1 z, 1 s, and 1 v when three letters picked without replacement from peveevvevpzessr.
8/455
Three letters picked without replacement from {e: 2, u: 8}. Give prob of picking 3 u.
7/15
What is prob of picking 1 w and 1 h when two letters picked without replacement from hwowkhzwkhkoz?
3/26
Four letters picked without replacement from ezzzzezzee. Give prob of picking 2 z and 2 e.
3/7
Two letters picked without replacement from muamhvf. What is prob of picking 1 m and 1 a?
2/21
Two letters picked without replacement from {d: 1, w: 3, t: 1, u: 3, a: 2, m: 3}. What is prob of picking 2 w?
1/26
Four letters picked without replacement from lllflfozioliooola. What is prob of picking 2 z, 1 o, and 1 a?
0
What is prob of picking 3 s when three letters picked without replacement from {s: 4}?
1
Four letters picked without replacement from pzyhhzzpppywfzp. What is prob of picking 1 f, 1 y, and 2 p?
4/273
What is prob of picking 1 k, 1 l, and 1 w when three letters picked without replacement from {k: 1, l: 8, i: 2, w: 4}?
32/455
Calculate prob of picking 1 u, 1 o, 1 y, and 1 a when four letters picked without replacement from {u: 1, o: 3, p: 1, y: 4, a: 5}.
60/1001
Calculate prob of picking 3 o when three letters picked without replacement from {s: 2, o: 9, v: 6}.
21/170
Three letters picked without replacement from mmmmmmmeeem. Give prob of picking 3 e.
1/165
Three letters picked without replacement from {u: 2, d: 1, b: 6, j: 9}. Give prob of picking 1 j and 2 b.
45/272
Calculate prob of picking 1 s and 1 n when two letters picked without replacement from nnnsnsnnnnnnsnsnnn.
56/153
Four letters picked without replacement from {w: 5, g: 7}. What is prob of picking 4 g?
7/99
Calculate prob of picking 1 w and 2 e when three letters picked without replacement from {a: 2, e: 4, w: 1}.
6/35
What is prob of picking 1 u, 1 i, and 1 n when three letters picked without replacement from iiggggniggggugggnib?
8/969
What is prob of picking 1 d and 1 f when two letters picked without replacement from dfggmm?
1/15
Two letters picked without replacement from ovxo. What is prob of picking 1 x and 1 v?
1/6
What is prob of picking 1 l and 1 r when two letters picked without replacement from pzrlp?
1/10
Calculate prob of picking 1 h and 1 w when two letters picked without replacement from hwwwwhwhhw.
8/15
Four letters picked without replacement from cpcnpcr. Give prob of picking 1 c, 1 r, 1 n, and 1 p.
6/35
What is prob of picking 1 d and 2 h when three letters picked without replacement from twhdttbtttbbvttvtth?
1/969
Three letters picked without replacement from {f: 3, q: 4, z: 2}. Give prob of picking 2 f and 1 z.
1/14
Calculate prob of picking 2 v when two letters picked without replacement from {j: 2, g: 8, l: 2, v: 5}.
5/68
Calculate prob of picking 3 y and 1 m when four letters picked without replacement from yytnttmyypty.
2/99
Two letters picked without replacement from taattaaaatafmfa. What is prob of picking 2 f?
1/105
Two letters picked without replacement from {c: 3, p: 4, z: 6}. What is prob of picking 1 c and 1 z?
3/13
Calculate prob of picking 1 f and 2 n when three letters picked without replacement from nfdfshdfdnnfhfpnpfpp.
3/95
Three letters picked without replacement from {f: 8, j: 3, i: 1, l: 5, x: 1, n: 2}. What is prob of picking 1 f, 1 l, and 1 x?
2/57
Four letters picked without replacement from sxssxxxxsxx. What is prob of picking 4 s?
1/330
Four letters picked without replacement from niikkhhwkknr. Give prob of picking 2 i, 1 w, and 1 r.
1/495
Two letters picked without replacement from iakaj. Give prob of picking 1 k and 1 j.
1/10
What is prob of picking 1 w, 1 i, and 1 o when three letters picked without replacement from iyzow?
1/10
What is prob of picking 2 k, 1 g, and 1 v when four letters picked without replacement from zkkzzvgqzqekvvq?
3/455
Two letters picked without replacement from xlxlxlll. What is prob of picking 1 x and 1 l?
15/28
What is prob of picking 3 g when three letters picked without replacement from {g: 3, p: 1, y: 4, t: 2, s: 2}?
1/220
Three letters picked without replacement from {d: 3, h: 1, b: 1, a: 2}. What is prob of picking 2 a and 1 b?
1/35
Three letters picked without replacement from mnmzdnmnmmdzmwmemz. What is prob of picking 1 e and 2 z?
1/272
Three letters picked without replacement from rrrrhrhhrzhrrrhhr. Give prob of picking 1 r and 2 h.
15/68
Two letters picked without replacement from {l: 2, g: 1, s: 4, t: 4, d: 1, a: 2}. What is prob of picking 1 d and 1 l?
2/91
Calculate prob of picking 3 k when three letters picked without replacement from kkk.
1
What is prob of picking 2 b, 1 g, and 1 i when four letters picked without replacement from ycmibigiiygggymggbgg?
32/4845
Two letters picked without replacement from ffttttt. Give prob of picking 2 f.
1/21
What is prob of picking 2 k when two letters picked without replacement from zmzkzkj?
1/21
Three letters picked without replacement from {f: 3, t: 1, z: 4, h: 2, m: 1}. What is prob of picking 2 f and 1 z?
4/55
Calculate prob of picking 2 f when two letters picked without replacement from ffffff.
1
Calculate prob of picking 2 g when two letters picked without replacement from {g: 4, n: 6, k: 2}.
1/11
Three letters picked without replacement from avappxpivgv. Give prob of picking 1 i, 1 a, and 1 v.
2/55
Two letters picked without replacement from {g: 4, a: 6, j: 4}. Give prob of picking 2 j.
6/91
Calculate prob of picking 3 g and 1 q when four | {
"pile_set_name": "DM Mathematics"
} |
0.2246171 decades to years.
2.246171
How many millennia are there in 4.490424 decades?
0.04490424
Convert 7.401928 litres to millilitres.
7401.928
How many years are there in 27/2 of a decade?
135
What is 1354.236 tonnes in grams?
1354236000
Convert 438.7mg to nanograms.
438700000
How many micrograms are there in seven quarters of a milligram?
1750
What is 3/40 of a kilogram in milligrams?
75000
How many grams are there in 329.176ng?
0.000000329176
What is 1/4 of a litre in millilitres?
250
What is eighty-one quarters of a hour in minutes?
1215
What is 3/5 of a millimeter in micrometers?
600
How many millilitres are there in 746511.8 litres?
746511800
What is 8.483571 minutes in days?
0.00589136875
What is thirteen quarters of a day in hours?
78
How many millilitres are there in 6.749415l?
6749.415
What is 5/4 of a millennium in years?
1250
Convert 1.493104 centimeters to micrometers.
14931.04
How many microseconds are there in 1/5 of a millisecond?
200
What is 6/25 of a milligram in micrograms?
240
What is 1/4 of a microsecond in nanoseconds?
250
How many litres are there in 86164.62ml?
86.16462
What is 4163.233us in milliseconds?
4.163233
What is 21/5 of a litre in millilitres?
4200
Convert 620165.1 seconds to microseconds.
620165100000
What is 0.0471488 years in months?
0.5657856
How many months are there in 7/4 of a year?
21
What is 331897.1 millilitres in litres?
331.8971
What is 651.5423 kilometers in micrometers?
651542300000
What is 108.8627 litres in millilitres?
108862.7
What is 7881.281 centuries in months?
9457537.2
Convert 2200.22271ns to days.
0.000000000025465540625
What is 1/10 of a kilometer in meters?
100
Convert 1.141444 millilitres to litres.
0.001141444
What is 207.72705ns in minutes?
0.0000000034621175
What is 24.37661 litres in millilitres?
24376.61
How many grams are there in 2.123877kg?
2123.877
How many days are there in 166.781781 seconds?
0.0019303446875
What is 77/2 of a year in months?
462
What is 1/4 of a century in months?
300
How many meters are there in 0.9460592 micrometers?
0.0000009460592
What is 0.7904168 nanograms in tonnes?
0.0000000000000007904168
What is 666051.2 centuries in millennia?
66605.12
How many meters are there in 462778.9 kilometers?
462778900
How many grams are there in 5.180656ug?
0.000005180656
How many minutes are there in eight fifteenths of a hour?
32
What is 8/15 of a millennium in months?
6400
How many micrograms are there in 1/10 of a milligram?
100
What is 0.8182761 days in microseconds?
70699055040
What is seven halves of a week in hours?
588
How many hours are there in 45/8 of a week?
945
How many centuries are there in 0.2740801 millennia?
2.740801
How many millimeters are there in 1/4 of a meter?
250
Convert 0.7509108us to nanoseconds.
750.9108
What is 825.6561 months in centuries?
0.68804675
What is fifty-three fifths of a litre in millilitres?
10600
What is twenty-seven fifths of a gram in milligrams?
5400
What is 1/64 of a meter in micrometers?
15625
What is 127435.2 litres in millilitres?
127435200
How many milligrams are there in seventeen halves of a gram?
8500
What is 11/8 of a meter in millimeters?
1375
What is nine tenths of a microgram in nanograms?
900
How many nanometers are there in 3/40 of a millimeter?
75000
What is 89209.72 seconds in milliseconds?
89209720
What is six fifths of a millimeter in micrometers?
1200
Convert 675.2712kg to milligrams.
675271200
Convert 114.855 milliseconds to seconds.
0.114855
What is 12/25 of a litre in millilitres?
480
How many months are there in twenty-one quarters of a century?
6300
How many millilitres are there in five eighths of a litre?
625
What is 87/5 of a litre in millilitres?
17400
What is 17/4 of a microgram in nanograms?
4250
How many millilitres are there in 31/2 of a litre?
15500
What is 7/2 of a second in milliseconds?
3500
Convert 18436.76 days to nanoseconds.
1592936064000000000
How many millilitres are there in 13/5 of a litre?
2600
Convert 13031.28 micrograms to nanograms.
13031280
What is seven quarters of a litre in millilitres?
1750
How many micrometers are there in seven quarters of a millimeter?
1750
What is 1/4 of a century in years?
25
How many minutes are there in 1/5 of a week?
2016
How many months are there in seven halves of a decade?
420
What is 0.975589 decades in centuries?
0.0975589
What is 8.0237 centuries in decades?
80.237
What is 25/4 of a kilometer in meters?
6250
Convert 94.97712 months to centuries.
0.0791476
Convert 53.46814 micrometers to kilometers.
0.00000005346814
Convert 7324.489 decades to millennia.
73.24489
What is 33/5 of a gram in milligrams?
6600
How many millennia are there in 5649.26 centuries?
564.926
What is 786340.3l in millilitres?
786340300
Convert 416521.7ns to microseconds.
416.5217
How many nanograms are there in one quarter of a microgram?
250
What is 5.584241m in millimeters?
5584.241
How many micrograms are there in one tenth of a milligram?
100
How many months are there in 405706.4 millennia?
4868476800
Convert 735.34 milligrams to nanograms.
735340000
What is 2.78965 minutes in microseconds?
167379000
What is 7.123559l in millilitres?
7123.559
How many millilitres are there in 13/5 of a litre?
2600
What is 5/4 of a litre in millilitres?
1250
How many milligrams are there in nineteen quarters of a gram?
4750
Convert 98.56682kg to tonnes.
0.09856682
What is 13/4 of a millennium in decades?
325
How many milligrams are there in one fifth of a gram?
200
What is 519666.4t in milligrams?
519666400000000
What is 21/4 of a litre in millilitres?
5250
How many millimeters are there in 421.167 nanometers?
0.000421167
What is one fifth of a centimeter in millimeters?
2
Convert 11.549178 months to years.
0.9624315
What is 13/5 of a microgram in nanograms?
2600
How many meters are there in 85114.53 millimeters?
85.11453
What is fifty-one halves of a meter in millimeters?
25500
What is 7/3 of a hour in minutes?
140
Convert 4817.713ml to litres.
4.817713
How many kilometers are there in 0.7822558cm?
0.000007822558
What is five quarters of a microgram in nanograms?
1250
Convert 436153.6 nanoseconds to microseconds.
436.1536
What is 269842.4 years in decades?
26984.24
Convert 5469.114 millilitres to litres.
5.469114
What is 4049.37 millennia in years?
4049370
What is 888.315 micrometers in nanometers?
888315
What is fifteen quarters of a centimeter in micrometers?
37500
What is 3/5 of a litre in millilitres?
600
How many millilitres are there in twenty-one eighths of a litre?
2625
What is 45/2 of a litre in millilitres?
22500
What is fifty-four fifths of a decade in years?
108
Convert 867.5513 centuries to years.
86755.13
What is 2/7 of a week in hours?
48
What is thirteen quarters of a millennium in months?
39000
How many nanometers are there in 470.6156cm?
4706156000
Convert 17.79993 decades to centuries.
1.779993
How many months are there in 3/32 of a millennium?
1125
What is 622948.06 days in weeks?
88992.58
What is 17/10 of a centimeter in micrometers?
17000
Convert 0.1142025 nanograms to tonnes.
0.0000000000000001142025
How many microseconds are there in 26/5 of a millisecond?
5200
Convert 2447.975m to millimeters.
2447975
Convert 799596.4ml to litres.
799.5964
How many nanoseconds are there in 9301.61 minutes?
558096600000000
How many millilitres are there in thirteen eighths of a litre?
1625
How many millennia are there in 188149.38 months?
15.679115
How many decades are there in 1/10 of a millennium?
10
What is four thirds of a hour in seconds?
4800
What is thirty-seven halves of a litre in millilitres?
18500
How many minutes are there in 2/7 of a week?
2880
What is 4.776963 decades in years?
47.76963
How many micrometers are there in 9/10 of a millimeter?
900
Convert 1.971957 days to seconds.
170377.0848
What is 26/5 of a millimeter in micrometers?
5200
Convert 44.1573 millilitres to litres.
0.0441573
How many millennia are there in 6136.291 decades?
61.36291
How many years are there in 54.30624 months?
4.52552
What is 8046.49 centuries in decades?
80464.9
What is 3/5 of a litre in millilitres?
600
Convert 7925023.8 minutes to days.
5503.48875
How many kilograms are there in three fifths of a tonne?
600
What is 3/8 of a litre in millilitres?
375
What is 868.264 years i | {
"pile_set_name": "DM Mathematics"
} |
+ 3*f - 2 = 0. Let o(n) = f - n + 2*n + n**3 - 3*n**3. What is 2*g(l) + 2*o(l)?
-2*l**3 + 2*l
Let a(r) be the second derivative of r**3/6 + r**2 + 3*r. Let j(p) be the second derivative of p**3/6 + p**2 - 11*p. Give -5*a(w) + 4*j(w).
-w - 2
Let l(t) = t**2 - 10*t - 3. Let u(y) = 3*y**2 - 20*y - 7. Calculate 7*l(j) - 3*u(j).
-2*j**2 - 10*j
Let f(k) be the second derivative of 1/12*k**4 - 3/2*k**2 + 0 - 1/2*k**3 - 3*k. Let d(c) = 2*c**2 - 4*c - 4. Calculate -3*d(u) + 4*f(u).
-2*u**2
Let l(v) = 2788*v - 205. Let f(w) = 41*w - 3. What is 205*f(p) - 3*l(p)?
41*p
Let w(j) = -7*j**3 - 5*j**2 - 5*j + 4. Let m(c) = -10*c**3 - 8*c**2 - 8*c + 6. What is -5*m(a) + 8*w(a)?
-6*a**3 + 2
Let t(u) be the first derivative of -u**3 - u - 8. Let o(z) = -z**2 + 1. Calculate 2*o(d) - t(d).
d**2 + 3
Let c(n) = n**3 + 1. Let s(j) = 84*j**3 + 77. Give -154*c(h) + 2*s(h).
14*h**3
Let a(j) = -j. Let k(g) = 48*g. Calculate 40*a(d) + k(d).
8*d
Let y(a) = -7*a**2 + 3*a + 8. Let d be y(2). Let c(q) = q**2 + 3*q + 5. Let h(m) = 4*m**2 + 14*m + 24. Determine d*c(k) + 3*h(k).
-2*k**2 + 2
Let c(d) = d**2 - 1. Let f(j) be the first derivative of 3*j - 1. Let v(t) = -t**3 + 5*t**2 - 4*t - 3. Let x be v(3). Give x*c(w) + f(w).
3*w**2
Let i(y) = -2*y**3 + 3*y**2 + 4. Let z(r) = 6*r**3 - 9*r**2 - 11. Determine -11*i(a) - 4*z(a).
-2*a**3 + 3*a**2
Let o(j) = j**2 - 2 - j**2 + 3 + j**2 - j. Let t(b) = -b**3 + 2*b**2 - 2*b + 2. Let l be 2/((-3 + 4)*2). Suppose 10 = -9*r + 4*r. Determine l*t(w) + r*o(w).
-w**3
Let o(c) = 29*c - 5. Let u(w) = -29*w + 4. What is 4*o(s) + 5*u(s)?
-29*s
Suppose -5*n - 3 = -4*n, 0 = -3*h + 2*n + 12. Let d(c) = 17*c**2. Let v(y) = 4*y**2. Let q = -4 - 5. Give h*d(k) + q*v(k).
-2*k**2
Let w(n) be the third derivative of n**6/60 + n**5/12 + n**4/8 + n**3/3 - n**2. Let o(a) = a**3 + 2*a**2 + a + 1. Determine -5*o(f) + 2*w(f).
-f**3 + f - 1
Let x(v) = v + 5. Let s(p) = -p - 6. Give 3*s(t) + 4*x(t).
t + 2
Suppose 12 = -2*l + 6*l. Let j(k) = -11*k - 2. Let u(s) = -6*s - 1. Calculate l*j(y) - 5*u(y).
-3*y - 1
Let p(d) = 18*d**3 + 3*d. Let a(y) = -19*y**3 - 4*y. Give 5*a(v) + 6*p(v).
13*v**3 - 2*v
Let t(a) = -4*a**3 - 5*a**2 - 4*a - 4. Let v(o) = o + 1. Let p(b) = -t(b) - 4*v(b). Let j(c) = 2*c**3 + 3*c**2. What is -5*j(h) + 3*p(h)?
2*h**3
Let m(i) = -6*i**3 - 2*i. Let f = 7 - 2. Suppose f - 1 = p. Let c(v) = -v**3. What is p*c(u) - m(u)?
2*u**3 + 2*u
Let c(u) be the first derivative of -3*u**2 - 11*u + 10. Let f(z) = -2*z - 4. Let h = 0 - 1. Let i be ((-6)/4)/(h/(-2)). Determine i*c(y) + 8*f(y).
2*y + 1
Let m(k) = -4*k. Let d(a) = 3*a. Let q be (-1 - 0 - 0) + 6. What is q*m(v) + 6*d(v)?
-2*v
Suppose 5*r - 12 = -5*v + 13, 3*v - 3*r = -3. Let l(z) = -3 - z + 2*z - v*z + 2*z. Let t(m) = -m + 2. Calculate 2*l(i) + 3*t(i).
-i
Suppose -v = 2 - 0. Let r(k) be the first derivative of 2*k**3/3 + 5*k**2/2 + 7*k + 2. Let l(g) = g**2 + 2*g + 3. What is v*r(i) + 5*l(i)?
i**2 + 1
Let z(c) = -2*c**3 - 3*c**2 + 5*c - 3. Let u(f) be the first derivative of -f**4/2 - 2*f**3/3 + 2*f**2 - 2*f + 15. Determine 3*u(r) - 2*z(r).
-2*r**3 + 2*r
Let y(k) = 2*k**3 + 2*k**2 - 2*k - 1. Let h be y(-2). Let g(p) = 4*p - 5. Let z(n) be the first derivative of 1/2*n**2 + 1 - n. Determine h*z(w) + g(w).
-w
Let v(w) = -8*w**2 + 4*w - 4. Let r = -173 + 169. Let y(z) = 7*z**2 - 3*z + 3. Calculate r*y(n) - 3*v(n).
-4*n**2
Let o(h) = h**2 + 4*h - 5. Let q be o(-6). Let b(z) = 3*z**2 - 9*z - 4. Let n = 7 - 10. Let c(r) = r**2 - 4*r - 2. Determine n*b(i) + q*c(i).
-2*i**2 - i - 2
Let f(a) = 8*a**2 - 12. Let b(w) = w**2 - 6*w - 1. Let t(x) = -x. Let i(g) = -b(g) + 6*t(g). Give f(s) + 12*i(s).
-4*s**2
Let f(o) = 9*o - 16. Let l(b) = -4*b + 8. Calculate 3*f(m) + 7*l(m).
-m + 8
Let k(w) = -11*w**2 - 20*w + 14. Let o(r) = -4*r**2 - 7*r + 5. Give 6*k(a) - 17*o(a).
2*a**2 - a - 1
Let p(g) = g - 42. Let j(w) = w - 28. What is 7*j(x) - 5*p(x)?
2*x + 14
Let t(y) = -6*y + 2. Let z(r) be the first derivative of -5*r**2/2 + 2*r + 1. Let i be (-4)/26 + 15/13. Let k = 5 - i. What is k*z(u) - 3*t(u)?
-2*u + 2
Let r(v) = -3*v**3 - v**2 + 7*v + 5. Let w(k) = 2*k**3 + k**2 - 5*k - 3. Give 5*r(o) + 7*w(o).
-o**3 + 2*o**2 + 4
Suppose 46 = -2*m - 44. Let v(h) = -155*h + 45. Let c(n) = 7*n - 2. What is m*c(s) - 2*v(s)?
-5*s
Let j(a) = -a**3 + a**2 - a. Let u(i) be the third derivative of i**6/12 - i**5/5 + i**4/2 - 6*i**2. Calculate -12*j(s) - u(s).
2*s**3
Suppose 5*y + 5*j = 4*j - 8, -y + j - 4 = 0. Suppose 0*w = 2*w + 14. Let v(r) = -1. Let o(g) = g + 3. Give w*v(s) + y*o(s).
-2*s + 1
Let v(p) = -3*p**2 + 2. Let n(x) be the third derivative of -4*x**5/15 + 11*x**3/6 - 7*x**2. Determine -2*n(a) + 11*v(a).
-a**2
Let j(l) = 5*l + 23. Let i(q) = q. Let n(k) = -i(k) - j(k). Let u(w) = w + 4. What is -6*n(g) - 34*u(g)?
2*g + 2
Let c(l) = -l**3 - l**2. Suppose 2*p + 1 = -1. Let o(v) = -6*v**3 - 3*v**2. Determine p*o(x) + 3*c(x).
3*x**3
Let j(r) = 0*r**2 - 7*r + 8*r**2 - 4*r**2. Let f be ((-16)/(-12))/((-2)/9). Let k(l) = 5*l**2 - 8*l. What is f*k(u) + 7*j(u)?
-2*u**2 - u
Let p(w) = w + 4. Let r(a) be the first derivative of a**4/24 + a**3/2 + 2*a**2 + 1. Let o(c) be the second derivative of r(c). Give 3*o(n) - 2*p(n).
n + 1
Let g(f) = -f**2 + 2*f + 2. Let m(y) be the second derivative of -5*y**4/12 + 5*y**3/3 + 11*y**2/2 - 2*y. Give 11*g(b) - 2*m(b).
-b**2 + 2*b
Let l(y) be the second derivative of -y**3 - y**2 - y. Let z = 14 + -21. Let g(b) = -5*b - 2. Calculate z*g(u) + 6*l(u).
-u + 2
Let o(h) = -2*h. Suppose 0 = 2*f - q + 9, -f + 2*q = f + 10. Let z = 1 - f. Let g(k) = -k. Give z*g(r) - 4*o(r).
3*r
Let p(d) = -14*d**3 + 2*d**2 + 2. Let r(m) = 57*m**3 - 9*m**2 - 9. Determine 18*p(f) + 4*r(f).
-24*f**3
Let t(g) = 17*g. Let i(l) = -8*l. What is -7*i(y) - 3*t(y)?
5*y
Suppose 4*p + 7 = 3. Let n(m) = -5*m**2 + 4*m - 4. Let g(k) = -k**2 + k - 1. Determine p*n(j) + 4*g(j).
j**2
Let j(y) = y**2 + 24 - y - 12 - 13. Let d(x) = -7*x**2 + 7*x + 6. What is d(h) + 6*j(h)?
-h**2 + h
Let o(v) = -2*v - 2. Let n(j) = -5*j - 7 + 5*j - 6*j + 0*j. Give 2*n(t) - 7*o(t).
2*t
Let b(a) = 6*a + 5. Let o(k) be the second derivative of 7*k**3/6 + 3*k**2 + 9*k. Let g(r) = -4*b(r) + 3*o(r). Let h(v) = 1. Calculate g(j) + 2*h(j).
-3*j
Let y(h) be the first derivative of -2*h**4 + 2*h**2 - h - 20. Let j(l) = -9*l**3 + 5*l - 1. What is -6*j(z) + 7*y(z)?
-2*z**3 - 2*z - 1
Let b(x) = -9*x**3 - 4*x**2 + 2. Let v(q) = 17*q**3 + 7*q**2 - 4. What is 5*b(l) + 3*v(l)?
6*l**3 + l**2 - 2
Let w(t) = 4*t**2 - 2*t. Let n(x) = 5*x**2 - 3*x - 1. Suppose 3*l = 4*l. Suppose l = 3*i - i - 16. Let q = -5 + i. Determine q*w(m) - 2*n(m).
2*m**2 + 2
Let b(c) = -6*c**3 - 6*c**2 + 22*c - 7. Let a(n) = -2*n**3 - 2*n**2 + 7*n - 2. Determine 7*a(k) - 2*b(k).
-2*k**3 - 2*k**2 + 5*k
Let t(i) = -i**3 + i + 1. Let s(g) = -3*g**3 + 2*g + 4. Let d(o) = -o**2 - 11*o - 6. Let m be d(-10). What is m*t(r) - s(r)?
-r**3 + 2*r
Suppose 83 = 4*t + 95. Let c(a) = -5*a**3 + 3*a**2 - a. Let x(z) be the third derivative of 7*z**6/60 - 2*z**5/15 + z**4/8 - z**2. Calculate t*x(b) - 8*c(b).
-2*b**3 - b
Let u(n) be the second derivative of n**4/6 + 5*n**2/2 - 11*n. Let b(i) = 4*i**2 + 11. Calculate -3*b(l) + 7*u(l).
2*l**2 + 2
Let x(j) = -3*j + 1. Let r(q) = 5 + q - 5*q + 0*q - 4. Give 4*r(l) - 5*x(l).
-l - 1
Let n(l) = 80*l**3 - 55*l - 55. Let u(p) = -3*p**3 + 2*p + 2. Give -2*n(h) - 55*u(h).
5*h**3
Let l(d) = 3*d**2 - 4*d. Let p(k) be the second derivative of 0*k**2 + 0 - 5*k - 11/6*k**3 + 2/3*k**4. Calculate 11*l(o) - 4*p(o).
o**2
Let x(h) = -h**3 - h**2 - 1. Let n(i) = 2*i**3 + 3*i**2 + 2*i - 3. What is n(c) + 3*x(c)?
-c**3 + 2*c - 6
Let j(n) = 3*n**3 + 5*n**2 - 8*n + 2. Let r(s) = -s**3 - s**2 + s. Let f(g) = -j(g) - 4*r(g). Let q(k) = k**3 - 2*k**2 + 5*k - 3. What is 3*f(w) - 2*q(w)?
w**3 + w**2 + 2*w
Let u(r) = -r - 1. Let o(q) = 8*q**2 - 16*q - 16. Determine o(m) - 16*u(m).
8*m**2
Let m(n) be the first derivative of -n**3 + 2*n - 3. Suppose -3*c = -3*k - 3, -7 = -2*c - 4*k + 19. Let l(t) = -6*t**2 + 5. Calculate c*m(a) - 2*l(a).
-3*a**2
Let i be (11/11)/(1/6). Let q(y) = 2*y + 2. Let g(m) = -2*m - 2. Determine i*q(z) + 5*g(z).
2*z + 2
Let i(t) = -72*t**3 + 13*t**2 - 13. Let h(v) = 36*v**3 - 6*v**2 + 6. What is 13*h(x) + 6*i(x)?
36*x**3
Let v(h) = 2*h + 3. Let n(o) be the second derivative of -o**2/2 | {
"pile_set_name": "DM Mathematics"
} |
).
-10*b**2 - 6*b
Expand (4*b**2 + 19*b**2 - 2*b**2)*(0*b - 2*b + b).
-21*b**3
Expand (-3*w**2 + 5*w**2 - w**2)*(-8*w**2 + 14*w**2 + 2 + w - 1).
6*w**4 + w**3 + w**2
Expand 12 - 12 + 11*o**3 + (2*o - 2*o + 2*o)*(-o + 2*o**2 + o) + 5*o**3 - 3*o**3 + 0*o**3 + (2*o - 2*o**3 - 2*o)*(-1 + 1 - 1) - 3*o**2 + o**3 + 3*o**2.
20*o**3
Expand (-4*j + 3*j + 4*j + 4*j - 3*j - 2*j + (-1 - 2*j + 1)*(-1 + 1 + 2) - 2*j - 3*j + 6*j + (4 - 2 + 0)*(1 + 2*j - 1))*(-5*j + 6*j - 3*j).
-6*j**2
Expand k**5 - k**5 + k**5 - 2*k**5 + 4 - 4 + (2*k**4 - 2*k**4 - 4*k**4)*(0*k + 2*k - k) + (2*k**5 - 4*k**5 - 2*k**5)*(0 - 2 + 3).
-9*k**5
Expand 7*o**2 - 3*o - 5*o**2 + 0*o - o**2 - o**2 - o**2 + (-2*o + 2*o + 2*o)*(-2 + 2*o + 2).
3*o**2 - 3*o
Expand -3 + 3 + 2*c**2 + (-c + 0*c + 3*c)*(4*c - 2*c - c) + 0*c + 0*c - 2*c**2 + 2*c**2 - c**2 + c**2.
4*c**2
Expand (2*y**3 + 0*y + 0*y)*((-5*y - y - 16*y)*(y - y - 2*y) + (-5*y + y + 2*y)*(-3*y + 4*y - 2*y)).
92*y**5
Expand (3 + 3 + 1)*(1 - 1 + 2*m).
14*m
Expand (-1 + 1 + 3)*(-2*r**5 - 2*r**5 + 5*r**5).
3*r**5
Expand (-4*b + 4*b - 25*b)*(3*b + 2 - 2).
-75*b**2
Expand (3*l - l + l)*(l + l - l)*(611 - 611 + 11*l).
33*l**3
Expand (-3*c + 1 + 1 + c)*(-14*c**3 + 114 - 114).
28*c**4 - 28*c**3
Expand (3*r - 5*r + 0*r)*(10 - 6*r - 10).
12*r**2
Expand -5*s**5 - 1 + 1 + 0*s**5 - s**5 + 2*s**5 + (-2*s**2 + 4*s**2 - 3*s**2)*(s**2 - s**3 - s**2).
-3*s**5
Expand (1 - 4 + 5)*(-27 + 12 - 22)*(-x**3 + 5*x**3 - 5*x**3).
74*x**3
Expand (h**4 + 3*h**4 - 3*h**4)*(-5 + 0 + 4) + (4 + 5*h**2 - 4)*(-h**2 - 2*h**2 + 5*h**2).
9*h**4
Expand -2*k**3 + k**3 + 3*k**3 + 4*k**3 - 4*k**3 + k**3 + (-k - 3*k + 2*k)*(-6*k**2 + 2*k**2 + 2*k**2) - 4*k**3 + 4*k**3 + k**3 - 4*k**3 + 66*k - 66*k.
4*k**3
Expand b**3 - 5*b**3 + 3*b**3 + (-1 + 1 - 2*b**2)*(2*b - 5 + 5) + 6*b**3 - 5*b**3 - 14*b**3 + (4*b - 5*b - b)*(b**2 - 4*b**2 + 4*b**2).
-20*b**3
Expand -2*j**2 - 4*j**4 + 16*j**4 - 10*j**4 + (-j**2 + j**2 + j**2)*(-j**2 + j**2 + 3*j**2).
5*j**4 - 2*j**2
Expand (2 + 7*v + 1 - 9*v)*(-1 + 0 + 0)*(-5 + 2 + 4).
2*v - 3
Expand -2*l**5 + 3*l**5 - 5*l**5 + (-2*l + 4 - 4)*(4*l**4 - l**4 - l**4).
-8*l**5
Expand u**3 - 5*u**3 - u**3 + (3 + 0 - 2)*(2*u**3 - 4*u**3 - u**3).
-8*u**3
Expand (b + 0*b + 2*b)*((-2*b + 2*b + b)*(-2*b + 4 - 4) + 1 - 1 - b**2 - b + b - b**2).
-12*b**3
Expand (-2*h + 4*h - h)*(2 - 1 - 5)*(2 - 2 + 1).
-4*h
Expand (3 - 5 - 1)*(13 + 6*u**2 - 7*u**2 + 2*u**2).
-3*u**2 - 39
Expand m + 2*m**3 - m + (-3*m + m + 3*m)*(5*m - 5*m**2 - 5*m) + (3*m**2 + 3*m**2 - 3*m**2)*(-3 + 3 + 2*m).
3*m**3
Expand (0 + 0 + n**2)*(n**2 + n**2 + 8*n**2).
10*n**4
Expand (0*u + 3*u - 4*u)*(2*u + 0*u - 4*u)*((1 - 1 - 3*u)*(12*u**2 + 2*u**2 - 4*u**2) + 2*u**3 - 4*u**3 + u**3).
-62*u**5
Expand (-k - k + 0*k)*(-2 - 4 + 5) - 2*k + 6*k + 6*k + (-5*k + 0*k + 6*k)*(-3 + 3 + 2).
14*k
Expand -34*o - 3*o**4 + 12 + 34*o + (-5*o**2 + o**2 + 5*o**2)*(o**2 + 0*o**2 + 0*o**2) + 0*o**4 + 3*o**4 - o**4 + 0*o**2 - o**4 + 0*o**2.
-o**4 + 12
Expand (-3*m + 0 + 0)*(-104*m + 45*m + 126*m)*(0 - 2*m + 0).
402*m**3
Expand (2 - 2*s - 2)*(-4 + 3 + 6).
-10*s
Expand -3*m**5 - 4*m**2 + 4*m**2 + (-3*m + 5*m - 4*m)*(2*m**4 - 3*m**3 + 3*m**3).
-7*m**5
Expand 1 + 7*g**5 - 1 + (5*g - g - 2*g)*(-5*g**4 + g**4 + 5*g**4).
9*g**5
Expand 0*c**3 + 0*c**3 - c**3 + (0 + c + 0)*(-c**2 + c**2 - 2*c**2).
-3*c**3
Expand (7 + 2*l**2 - 6*l**4 - 7)*((-2*l + 4*l - l)*(-2 + 4 - 1) - 1 + 1 + 3*l - 2*l + 2*l - 2*l + (4 - 1 - 1)*(l - 4*l + l)).
12*l**5 - 4*l**3
Expand (5*z - 2*z - 2*z)*(2*z**4 + 2*z**4 - 2*z**4) + 9*z - 9*z + z**5 + 5*z**2.
3*z**5 + 5*z**2
Expand (s**3 + 0 + 0)*(8 - 8 - 5*s**2).
-5*s**5
Expand (0*g**3 - 2*g**3 + 0*g**3)*(-5 + 4 + 2 + 6*g**2).
-12*g**5 - 2*g**3
Expand (-n**5 + 0*n**5 + 3*n**5)*(4 - 4 + 3) + (-2*n + n + 0*n)*(-n**4 + 3*n**4 + 0*n**4).
4*n**5
Expand -d + d + d**3 + (4*d - 3*d + 0*d)*(0*d + 0*d + d**2) + 2*d**3 - 3 + 3 - 2*d**3 + 0*d**3 + 0*d**3 - 95*d + 95*d + 10*d**3.
12*d**3
Expand (-z + z + z)*(z + 0 + 0 + (z - 2*z + 3*z)*(-3 - 1 + 3) - 1 - 3*z + 1).
-4*z**2
Expand 5 - 12*t**2 - 5 + (2 + 3 - 2)*(2*t**2 + 3*t - 3*t).
-6*t**2
Expand (692 - 692 + 85*f)*(-3*f**2 - 3*f**2 + 7*f**2).
85*f**3
Expand (0*n + 7*n - 2 - 9*n)*(1 + 0 + 1).
-4*n - 4
Expand -3*x**4 + 2*x - 2*x - 2*x**4 + 7*x**4 - 3*x**4 + (0 + 0 - 2*x**3)*(0*x + x - 7*x).
11*x**4
Expand (-s - 4*s + 3*s)*(-8 - 2*s + 2*s**3 + 9 - s).
-4*s**4 + 6*s**2 - 2*s
Expand (-2*l + 3*l**2 + 2*l + (2*l**2 - 6*l**2 + 3*l**2)*(1 + 1 - 3))*(-l - l + 0*l).
-8*l**3
Expand (-7 + 4*k + 7)*(3*k - 4*k + 0*k)*(-3*k**2 - 4*k**2 + k**2).
24*k**4
Expand (4*k - k - 5*k)*(5*k - 2*k - k) + 0*k**2 + 0*k**2 + 7*k**2 - k**2 + 3 - 3.
2*k**2
Expand (3 - 2 - 3)*(-6*n + 2*n + 15*n).
-22*n
Expand 0*f**5 + 0*f**5 + f**5 + f**5 - f**5 - f**5 + (2 - 2 - f**4)*(-f + 5*f - 2*f) - 3*f**4 + f**5 + 3*f**4 + (2*f**5 + 2*f**5 - 6*f**5)*(0 - 1 - 1).
3*f**5
Expand 0*o**2 + 0*o**2 - o**3 + (-o + 4*o + 2*o)*(-3*o**2 + 2*o**2 + 2*o**2).
4*o**3
Expand (3 - 4 - 2)*(-4*u**2 + 5*u**2 - 3*u**2) + 5*u - 3*u**2 + 14*u - 26*u.
3*u**2 - 7*u
Expand -118*l + 486 - 486 + l - 1 + 1 + (3 + 4 - 5)*(4*l - 2*l + 0*l) - l - 2*l + l + 4 - 4 + l.
-114*l
Expand z**4 - 4*z**4 + 8*z**4 + (z**2 - z**2 - z**3)*(4*z - z + 0*z) - 2*z**4 - z**4 + 5*z**4.
4*z**4
Expand (2*n**2 + 0 + 0)*(-1 - 1 + 4)*(-2 + 0 + 0).
-8*n**2
Expand (-12 - 12 + 6)*(2*c**4 - 3*c**4 + 3*c**4) + (-3 + 0 + c + 1)*(c**3 - c**3 + c**3).
-35*c**4 - 2*c**3
Expand (-1 + 3 + 0)*(8*t**3 - 6*t**3 - 33*t**3).
-62*t**3
Expand (-3 + 3 - 2*z)*(-6*z**3 + 2*z**4 + 10*z**3 - z**4).
-2*z**5 - 8*z**4
Expand ((0*c - 2*c**2 + 0*c)*(4*c**2 - 3*c**2 + 2*c**2) - 2*c**4 + 2*c**2 - 2*c**2 + 0*c**4 + c**4 - 3*c**4)*(1 + 3 - 3).
-10*c**4
Expand 2 + 4*p + 2 - 2 + (-5 + 1 + 2)*(-3*p - 2*p + 6*p).
2*p + 2
Expand 3*m**2 - 2*m**2 + 4*m**2 + (-4 + 4 - 2*m)*(6 - 2 - 10)*(-2*m + 0*m + 4*m).
29*m**2
Expand (-i + 3*i + 0*i)*(1 + 1 - 1) + 223 + 20*i - 223 - 2*i - 5*i + 4*i.
19*i
Expand (-d**3 - d**3 + d**3)*(-3*d**2 - 4*d**2 - d**2) - 2*d**5 + 3*d**2 - 3*d**2.
6*d**5
Expand 0*z**3 + z**3 + 2*z**4 + 2*z**4 - 2*z**4 - z**4 + 4*z**4 + (0*z - z**3 + 0*z)*(0 - z + 0) + (0 - 3 + 5)*(4*z**4 - 3*z**4 + 0*z**4).
8*z**4 + z**3
Expand (2*o - 5*o + o)*(69*o + 701 + 700 - 1399).
-138*o**2 - 4*o
Expand 2*d**2 + 0*d**2 + 0*d**2 + (d - 2*d + 0*d)*(4*d - 2*d - 3*d) + 1 + d**2 - 2*d**2 - d**2.
d**2 + 1
Expand (0*x - 3*x + 4*x)*(2 + 1 - 5) + (-2 + 0 + 3)*(-3*x - x + 2*x).
-4*x
Expand 6*r**5 - 4*r**5 - 4*r**5 + (-4 + 1 + 2 + (-1 + 3 + 2)*(3 + 3 - 4) - 1 + 2 + 0)*(2*r**5 - 4*r**5 + 4*r**5).
14*r**5
Expand -2*s**3 + 7*s**2 - 17*s**2 + 9*s**2 + (s + s + 0*s)*(0*s + 2*s**2 + 0*s).
2*s**3 - s**2
Expand (3 - 5 - 4)*(-x**2 - 4*x**3 + 3*x**2 + 2*x**3) - 3*x**3 - 3*x**3 + 4*x**3.
10*x**3 - 12*x**2
Expand (4 - 3 - 2)*(-3*b - 6*b**4 + 2*b + b**4 + 2).
5*b**4 + b - 2
Expand -p**5 - p**5 + 3*p**5 + (12*p + 8*p**2 - 12*p)*(p**3 - 4*p**2 + 4*p**2).
9*p**5
Expand (-1 - 4*r + 1)*(2*r - 2*r - r)*(-2 - 3 + 7)*(-2*r + 2*r - r**2).
-8*r**4
Expand -11*g**5 + 32 - 32 + (-2*g**2 + 5*g**2 - g**2)*(-g**3 - 5*g**3 + 4*g**3) - 3*g**5 + 0*g**5 + 5*g**5 + (g**4 - 4*g**4 + g**4)*(5*g - 2*g - 2*g).
-15*g**5
Expand (w**3 + 0*w**3 + 0*w**3)*(-w + 7*w + 0*w) - 2 - w**4 + 2.
5*w**4
Expand (1 - 1 + 5*q - 2)*(-1 + 6*q**3 + 2*q**3 - 4*q**3).
20*q**4 - 8*q**3 - 5*q + 2
Expand (1 + 3 - 3)*(-3 + 6 + 0)*(2*r - 2*r - r**5 + (4*r - 4*r + 2*r**2)*(-3*r**3 + r**3 + 4*r**3) - 2*r**5 - r**5 + r**5).
3*r**5
Expand -3*t**5 + 4*t**5 + 0*t**5 + ((t**2 - t**2 + t**3)*(-t + 1 - 1) - t**4 + 0*t**4 + 0*t**4)*(t + 1 - 1).
-t**5
Expand (-20*r - 20 + 20)*(2 + 2*r - 2)*(r**2 + 0*r**2 + 0*r**2).
-40*r**4
Expand (4*j - 3*j + 2*j)*(3 - 2 + 0) + (-4 - 2*j + 4)*(-3 + 4 + 1).
-j
Expand (-n**2 - n**2 + 0*n**2)*(10 + 3*n - 7 - 2*n).
-2*n**3 - 6*n**2
Expand -2*u**5 + 5*u**5 - 2*u**5 + (-2*u**2 + 3*u + u**2 + 3*u**2)*(2*u**2 - 2*u**2 + 4*u**3).
9*u**5 + 12*u**4
Expand -50*w + 50*w - 2*w**2 - 4*w**2 + 2*w**2 + 4*w**2 + (3*w - 3*w - w)*(-w + 0*w + 0*w).
w**2
Expand -8*s + 19*s + 21*s + (1 - 1 + s)*(-2 - 2 + 7).
35*s
Expand -5 - h**4 + 5 + 0*h**4 - h**4 + 3*h**4 + (0 + h + 0)*(-2*h**3 + 2*h**3 + 7*h**3).
8*h**4
Expand (s - s - 2*s**2)*(3*s**2 - 3*s**2 + 2*s**2)*(-3 + 3 - 3*s) + (121*s**4 - 140*s**4 + 71*s**4)*(1 - 1 + 2*s).
116*s**5
Expand -a**3 + a**3 + a**3 + (-1 + a + 1)*(a**2 + 2*a**2 - a**2) + | {
"pile_set_name": "DM Mathematics"
} |
be the first derivative of 8*f**5/5 - 7*f**4/2 - 2*f**3/3 + 7*f**2 - 6*f + 27. Factor x(v).
2*(v - 1)**2*(v + 1)*(4*v - 3)
Let h(g) = -3*g**3 - g**2 - g + 1. Let p be h(1). Let z be (-2)/p - (-2)/(-20). Find q such that -z*q**3 + 0*q - 2/5*q**2 + 0 = 0.
-1, 0
Let x(n) be the first derivative of 0*n + 2 + 0*n**2 + 0*n**3 + 1/27*n**6 + 4/45*n**5 + 1/18*n**4. Factor x(b).
2*b**3*(b + 1)**2/9
Let x be (2/12)/((12/(-9))/(-4)). Factor -y**3 + 1/2*y**5 + x*y**4 + 1/2 + 1/2*y - y**2.
(y - 1)**2*(y + 1)**3/2
Let p(w) be the second derivative of w**5/20 + w**4/12 - 4*w. Let j be p(0). What is s in 0*s + s**2 + j*s + 2*s**4 - 3*s**2 = 0?
-1, 0, 1
Let m(r) be the second derivative of r**7/14 + r**6/10 - 9*r**5/20 - 5*r**4/4 - r**3 - 4*r. Solve m(d) = 0 for d.
-1, 0, 2
Let q(i) be the first derivative of 4/3*i + 2/3*i**2 - 1 + 1/9*i**3. Factor q(r).
(r + 2)**2/3
Suppose -3*u + 8 + 10 = 3*r, 0 = -2*u - 5*r + 24. Suppose -5*o = -17 + u. Factor j - j**3 + 2*j**4 - 5*j**2 + 3*j**2 - o*j**4 + 3*j**2.
-j*(j - 1)*(j + 1)**2
Let s(x) = -2*x + 2. Let i be s(4). Let m = 10 + i. Determine n so that -2*n**2 + 9*n**3 - 9*n + 0*n**2 + 0 + 7*n**m - 3*n**2 - 2 = 0.
-1, -2/7, 1
Let k(n) be the second derivative of -n**4/8 - n**3/4 + 3*n. Let k(t) = 0. Calculate t.
-1, 0
Suppose 3*y = -n + 11, -y - y - 4 = -5*n. Find m such that 11*m**3 + 7*m**2 + 16*m**4 - 2*m**n + 7*m**5 - 3*m**2 = 0.
-1, -2/7, 0
Let a(p) = 4*p**2 + 20*p - 50. Let z(d) = 2*d**2 + 20*d - 50. Let m(i) = -2*a(i) + 3*z(i). Factor m(b).
-2*(b - 5)**2
Let z(y) be the third derivative of -27*y**6/8 - 3*y**5 - 5*y**4/6 - 22*y**2. Factor z(w).
-5*w*(9*w + 2)**2
Let z be ((-4)/18)/(1/(-3)). Let v = -85 - -87. Factor 0*c + 0 + z*c**v + 2/3*c**3.
2*c**2*(c + 1)/3
Let p(w) = -w**2 - w + 1. Let r(f) = -16*f**2 - 20*f + 12. Let b(o) = -12*p(o) + r(o). Let b(g) = 0. Calculate g.
-2, 0
Let h(z) = 3*z**3 + 12*z**2 - 12*z. Let o(j) = j**2 - j. Let r(y) = -h(y) + 12*o(y). Factor r(k).
-3*k**3
Let r(a) be the first derivative of 4*a**3/15 - 6*a**2/5 - 16*a/5 - 35. Factor r(z).
4*(z - 4)*(z + 1)/5
Let r be (6564/8)/(-544 + 1). Let a = -2/181 - r. Find v, given that 3*v**2 - v**3 - 1/2 + a*v**5 - 1/2*v - 5/2*v**4 = 0.
-1, -1/3, 1
Let a be (-48)/(-27) + (-155)/45 + 3. Factor -1/3*p**3 - a*p + 4/3*p**2 + 0.
-p*(p - 2)**2/3
Let r = 4/29 - 43/522. Let u(c) be the second derivative of r*c**4 - 3*c + 0 + 0*c**2 + 1/9*c**3. Solve u(a) = 0.
-1, 0
Let j(u) be the third derivative of -u**5/480 - 5*u**4/32 - 75*u**3/16 - 27*u**2. Factor j(r).
-(r + 15)**2/8
Suppose 14 = 3*o + 3*c - 2*c, 18 = o - 3*c. Factor o - 9*k**3 - 3*k**2 + 12*k**4 - 6.
3*k**2*(k - 1)*(4*k + 1)
Let d = 26 + -19. Let 84*y**2 - 16 - 101*y**3 - 20*y + 40*y**4 + d*y**3 + 12*y - 6*y**5 = 0. Calculate y.
-1/3, 1, 2
Suppose 1 = -p - 3. Let o(c) = -6*c**3 + 15*c**2 + 6*c + 3. Let b(v) = 3*v**3 - 7*v**2 - 3*v - 1. Let t(n) = p*o(n) - 9*b(n). Let t(l) = 0. What is l?
-1, 1
Let i(o) = -o + 12. Let b be i(8). Suppose t = -t. Factor -8*s + t*s**b - 2*s**2 - 8*s**3 - 10*s**2 - 2 - 2*s**4.
-2*(s + 1)**4
Let m(y) be the second derivative of 5/3*y**3 - 3/4*y**4 + 0 + 7/40*y**5 - 2*y**2 - 1/60*y**6 - 3*y. Factor m(t).
-(t - 2)**3*(t - 1)/2
Determine u, given that 1/5*u**4 + 9/5*u**2 + 0 - 6/5*u**3 + 0*u = 0.
0, 3
Solve 1/2*k**5 + 5/2*k**4 + 0 + 3/2*k**2 + 0*k + 7/2*k**3 = 0.
-3, -1, 0
Let f(o) = -o**3 - o - 1. Let a(i) = -4*i - 3. Let p be a(-2). Let j(r) = -4*r**3 - r**2 - 5*r - 5. Let t(w) = p*f(w) - j(w). Factor t(y).
-y**2*(y - 1)
Let g(i) be the first derivative of -1/8*i**4 + 9 - i + 1/4*i**2 + 1/3*i**3. Suppose g(y) = 0. What is y?
-1, 1, 2
Solve -2/9*s**4 + 2/9 + 4/9*s - 4/9*s**3 + 0*s**2 = 0 for s.
-1, 1
Suppose 47*v - 95 = 46. Factor 0 + 0*k + 0*k**2 + 3/7*k**v.
3*k**3/7
Let h = 647/5 - 129. Suppose 1 = -u + 3*s, 0 = -5*u - 5*s + s + 33. Let -2/5*w**2 + 0 + h*w**4 - 1/5*w**u + 0*w**3 + 1/5*w = 0. Calculate w.
-1, 0, 1
Let o be 5/(-2)*12/(-10). Suppose -20 = -2*d - 14. Factor -5*h**3 + 4*h**2 - h**2 - h + 0*h**d + h**4 + 2*h**o.
h*(h - 1)**3
Let k(o) = 37*o**2 - 45*o - 1. Let w = -4 - -13. Let l(f) = 9*f**2 - 11*f. Let u(m) = w*l(m) - 2*k(m). Factor u(g).
(g - 1)*(7*g - 2)
Let d(c) be the second derivative of -2*c**6/15 - 7*c**5/5 - 5*c**4 - 26*c**3/3 - 8*c**2 + 5*c. Suppose d(n) = 0. Calculate n.
-4, -1
Let c(r) = -18*r**4 - 17*r**3 + 23*r**2 + 12*r. Let o(m) = 9*m**4 + 9*m**3 - 12*m**2 - 6*m. Let i(j) = 3*c(j) + 5*o(j). Factor i(y).
-3*y*(y - 1)*(y + 1)*(3*y + 2)
Determine q, given that 1/2 - 5/4*q + q**2 - 1/4*q**3 = 0.
1, 2
Let m(z) = -3*z**2 + 5*z + 3. Let i(q) be the second derivative of q**4/12 - q**3/3 - q**2/2 - 4*q. Let f(h) = 5*i(h) + 2*m(h). Determine p so that f(p) = 0.
-1, 1
Let p(r) = -r - 1. Suppose 5*o + 15 = -0*o. Let q(t) be the third derivative of t**5/30 - 7*t**4/24 - t**3/6 + 3*t**2. Let u(a) = o*p(a) + q(a). Factor u(x).
2*(x - 1)**2
Let -11*t - 39 + 14*t - 3*t**2 + 39 = 0. Calculate t.
0, 1
Let f(h) be the third derivative of h**8/90720 + h**7/5670 + h**6/810 - h**5/20 - 2*h**2. Let x(c) be the third derivative of f(c). Factor x(s).
2*(s + 2)**2/9
Let f = -2/461 + 11531/1383. Factor 0*v**2 - 4/3*v**3 + 0*v + 20/3*v**4 - f*v**5 + 0.
-v**3*(5*v - 2)**2/3
Let o(f) be the second derivative of -f**9/5040 + f**7/840 + 5*f**4/12 - 4*f. Let m(n) be the third derivative of o(n). What is c in m(c) = 0?
-1, 0, 1
Factor 7*x - 4*x**2 - 4*x**4 - 6*x**3 - 8*x - x**5 + 0*x**3.
-x*(x + 1)**4
Let y = 2/669 + 148/223. What is p in 2/3*p + y*p**3 + 0 + 4/3*p**2 = 0?
-1, 0
Let t(n) be the second derivative of n**10/15120 + n**9/3780 + n**8/3360 - n**4/4 + 2*n. Let s(k) be the third derivative of t(k). Factor s(m).
2*m**3*(m + 1)**2
Factor -46*f**3 + 64*f**2 - 36*f - 4*f**5 + 8 - 10*f**3 + 24*f**4 - 5*f**5 + 5*f**5.
-4*(f - 2)*(f - 1)**4
Factor 15*n + 40*n**3 + 5*n - 255*n**4 + 10*n - 95*n**2 + 280*n**4.
5*n*(n - 1)*(n + 3)*(5*n - 2)
Let p be (-4)/10 - 2/(-5). Let c be (4*1)/((-2)/(-1)). Solve r**2 - 3*r**2 + p*r**c = 0 for r.
0
Suppose o = -3 - 15. Let c be 4/18 + (-32)/o. Factor l**4 - c*l**2 + 2*l**4 + l**4 - 2*l**4.
2*l**2*(l - 1)*(l + 1)
Find w, given that -20/3*w**3 + 0 + 0*w**2 + 0*w + 2*w**4 + 2/3*w**5 = 0.
-5, 0, 2
Let m(l) be the third derivative of l**5/60 - 2*l**3/3 - 25*l**2. Factor m(k).
(k - 2)*(k + 2)
Let c(s) be the third derivative of -3*s**8/14 - 13*s**7/35 + 8*s**6/15 + 43*s**5/30 + s**4/3 - 4*s**3/3 - 14*s**2. Solve c(j) = 0 for j.
-1, -2/3, 1/4, 1
Let r be (-30)/(-2) + (-7 - -8). Find d, given that 16*d + 4*d**5 - 4*d**3 - r*d = 0.
-1, 0, 1
Let g(n) = -8*n**4 + 26*n**3 - 45*n**2 + 27*n. Let y(z) = -9*z**4 + 27*z**3 - 45*z**2 + 27*z. Let k(d) = -6*g(d) + 5*y(d). Let k(w) = 0. What is w?
0, 1, 3
Let q(s) be the third derivative of 7*s**6/24 + 5*s**5/4 + 15*s**4/8 + 5*s**3/6 - 32*s**2. Determine v, given that q(v) = 0.
-1, -1/7
Let f be (0 - 4/3)/((-48)/72). Determine b, given that 0 - 1/3*b**f + 1/3*b**3 + 0*b = 0.
0, 1
Suppose -4*g - 35 - 73 = 0. Let c be (-12)/g + 6/(-27). Let c*p**3 + 0 - 2/9*p**4 + 2/9*p**2 - 2/9*p**5 + 0*p = 0. Calculate p.
-1, 0, 1
Let h(c) be the third derivative of -5*c**8/336 + c**6/12 - 5*c**4/24 - 13*c**2. Factor h(o).
-5*o*(o - 1)**2*(o + 1)**2
Let k(n) be the second derivative of n**8/3360 - n**7/630 - n**6/360 + n**5/30 - n**4/4 + n. Let x(g) be the third derivative of k(g). What is d in x(d) = 0?
-1, 1, 2
Let d(y) be the first derivative of -1/7*y**2 + 1/14*y**4 + 2/7*y - 2/21*y**3 + 3. Factor d(t).
2*(t - 1)**2*(t + 1)/7
Find p, given that -3/4*p**2 - 1/8*p**3 - 3/4 - 11/8*p = 0.
-3, -2, -1
Let i(f) be the first derivative of -1/3*f**3 + f**5 + 0*f**2 + 2 + 0*f - 1/8*f**4. Suppose i(n) = 0. What is n?
-2/5, 0, 1/2
Let i = 57847/2492 - 25/356. Find d, given that -72/7*d - i*d**2 - 8/7 = 0.
-2/9
Let n(h) be the third derivative of 1/420*h**7 + 5/48*h**4 - 1/240*h**6 - 1/40*h**5 + 4*h**2 - 1/6*h**3 + 0*h + 0. Factor n(o).
(o - 1)**3*(o + 2)/2
Let b(k) be the third derivative of k**6/90 + k**5/9 - 42*k**2. Factor b(t).
4*t**2*(t + 5)/3
Let -21/8*x**3 + 3/8 + 3/4*x**4 - 15/8*x + 27/8*x**2 = 0. Calculate x.
1/2, 1
What is i in -3*i - 6*i + 16*i**2 + 2*i + 4*i**3 + 19*i = 0?
-3, -1, 0
Suppose 17 = 5*f - 3. Suppose 3*w - 2*w = f. Find h, given that 6*h**3 + 7*h**2 + h**4 - h**2 + w*h - 2*h**3 + 1 = 0.
-1
Let s(d) be the firs | {
"pile_set_name": "DM Mathematics"
} |
of 488772.
2, 3, 13577
List the prime factors of 330346.
2, 165173
What are the prime factors of 328044?
2, 3, 27337
What are the prime factors of 1883946?
2, 3, 313991
List the prime factors of 518178.
2, 3, 67, 1289
What are the prime factors of 24590?
2, 5, 2459
What are the prime factors of 2851460?
2, 5, 142573
List the prime factors of 25522.
2, 7, 1823
What are the prime factors of 3080781?
3, 11, 23, 41
List the prime factors of 1949306.
2, 974653
List the prime factors of 18442407.
3, 19, 17029
List the prime factors of 2372438.
2, 757, 1567
List the prime factors of 500430.
2, 3, 5, 7, 2383
What are the prime factors of 1618376?
2, 89, 2273
What are the prime factors of 2784667?
29, 131, 733
What are the prime factors of 3319613?
11, 23, 13121
List the prime factors of 6755921.
47, 143743
List the prime factors of 700509.
3, 239, 977
List the prime factors of 1391132.
2, 23, 15121
What are the prime factors of 11205870?
2, 3, 5, 13, 59, 487
List the prime factors of 35962398.
2, 3, 1997911
What are the prime factors of 905039?
359, 2521
What are the prime factors of 1014341?
1014341
What are the prime factors of 3701543?
3701543
What are the prime factors of 61510?
2, 5, 6151
What are the prime factors of 394153?
394153
What are the prime factors of 42529?
71, 599
What are the prime factors of 12519621?
3, 401, 3469
What are the prime factors of 14226390?
2, 3, 5, 158071
List the prime factors of 4146740.
2, 5, 13, 41, 389
List the prime factors of 296960.
2, 5, 29
List the prime factors of 4310287.
1361, 3167
List the prime factors of 195307.
7, 27901
What are the prime factors of 19862309?
19862309
What are the prime factors of 23629635?
3, 5, 19, 29, 953
List the prime factors of 148408.
2, 13, 1427
List the prime factors of 185042.
2, 11, 13, 647
What are the prime factors of 872877?
3, 290959
What are the prime factors of 745520?
2, 5, 9319
List the prime factors of 3983854.
2, 7, 284561
List the prime factors of 70595.
5, 7, 2017
List the prime factors of 149343.
3, 67, 743
List the prime factors of 21976217.
19, 1156643
List the prime factors of 1847677.
13, 29
What are the prime factors of 198853?
29, 6857
What are the prime factors of 32846?
2, 11, 1493
What are the prime factors of 5094152?
2, 7, 17, 5351
What are the prime factors of 328110?
2, 3, 5, 10937
What are the prime factors of 21331453?
11, 13, 71, 191
What are the prime factors of 125933?
125933
What are the prime factors of 824105?
5, 164821
List the prime factors of 1798218.
2, 3, 99901
What are the prime factors of 547055?
5, 23, 67, 71
List the prime factors of 3810207.
3, 727, 1747
What are the prime factors of 18640541?
18640541
What are the prime factors of 5836097?
19, 307163
What are the prime factors of 264886?
2, 29, 4567
What are the prime factors of 183969?
3, 20441
List the prime factors of 2195404.
2, 548851
What are the prime factors of 4449285?
3, 5, 98873
List the prime factors of 2201440.
2, 5, 13759
What are the prime factors of 17686162?
2, 13, 680237
List the prime factors of 132106.
2, 13, 5081
List the prime factors of 1973731.
1973731
What are the prime factors of 7806836?
2, 1951709
What are the prime factors of 81159?
3, 13, 2081
List the prime factors of 5591738.
2, 19, 147151
What are the prime factors of 21016?
2, 37, 71
What are the prime factors of 564536?
2, 7, 17, 593
List the prime factors of 1812997.
109, 16633
List the prime factors of 33838439.
3881, 8719
What are the prime factors of 15477851?
29, 533719
What are the prime factors of 236496?
2, 3, 13, 379
What are the prime factors of 548306?
2, 11, 24923
What are the prime factors of 299403?
3, 13, 853
List the prime factors of 7238436.
2, 3, 603203
List the prime factors of 1501547.
31, 48437
What are the prime factors of 8496441?
3, 109, 2887
List the prime factors of 1749699.
3, 7, 27773
What are the prime factors of 324767?
19, 17093
List the prime factors of 69313.
69313
What are the prime factors of 4341248?
2, 61, 139
What are the prime factors of 6322086?
2, 3, 59, 5953
What are the prime factors of 184140?
2, 3, 5, 11, 31
What are the prime factors of 2368795?
5, 11, 13, 3313
List the prime factors of 253490.
2, 5, 25349
What are the prime factors of 853753?
79, 101, 107
What are the prime factors of 13773092?
2, 239, 14407
What are the prime factors of 615875?
5, 13, 379
What are the prime factors of 826806?
2, 3, 41, 3361
List the prime factors of 19223172.
2, 3, 29, 18413
What are the prime factors of 4479407?
31, 144497
What are the prime factors of 8622806?
2, 4311403
What are the prime factors of 126881?
181, 701
What are the prime factors of 3159026?
2, 13, 121501
List the prime factors of 1815125.
5, 13, 1117
List the prime factors of 176224.
2, 5507
What are the prime factors of 22311647?
73, 305639
List the prime factors of 119685.
3, 5, 79, 101
List the prime factors of 3911362.
2, 7, 13, 21491
What are the prime factors of 171548?
2, 13, 3299
List the prime factors of 112775.
5, 13, 347
What are the prime factors of 281296?
2, 17581
What are the prime factors of 33024289?
83, 163, 2441
List the prime factors of 3266744.
2, 13, 101, 311
What are the prime factors of 13417421?
37, 362633
List the prime factors of 788747.
19, 41513
What are the prime factors of 3164038?
2, 1582019
What are the prime factors of 41588?
2, 37, 281
What are the prime factors of 12045520?
2, 5, 17, 521
List the prime factors of 7845569.
47, 79, 2113
What are the prime factors of 201464?
2, 25183
What are the prime factors of 117830?
2, 5, 11783
List the prime factors of 1190743.
1190743
List the prime factors of 4174094.
2, 2087047
List the prime factors of 323770.
2, 5, 32377
List the prime factors of 2710383.
3, 13, 69497
What are the prime factors of 40951950?
2, 3, 5, 13, 21001
What are the prime factors of 4459386?
2, 3, 67, 11093
List the prime factors of 69102.
2, 3, 11, 349
What are the prime factors of 3326706?
2, 3, 29, 6373
What are the prime factors of 328266?
2, 3, 6079
List the prime factors of 925266.
2, 3, 154211
What are the prime factors of 34027?
7, 4861
List the prime factors of 29294706.
2, 3, 7, 17, 89, 461
What are the prime factors of 126131?
126131
What are the prime factors of 9236286?
2, 3, 131, 3917
What are the prime factors of 807993?
3, 17, 5281
What are the prime factors of 879498?
2, 3, 61, 89
What are the prime factors of 58330?
2, 5, 19, 307
List the prime factors of 33620015.
5, 11, 13, 3617
List the prime factors of 15458.
2, 59, 131
List the prime factors of 886556.
2, 11, 20149
List the prime factors of 268491.
3, 31, 2887
What are the prime factors of 373664?
2, 11677
List the prime factors of 1822784.
2, 19, 1499
List the prime factors of 1318746.
2, 3, 11, 13, 29, 53
What are the prime factors of 158802?
2, 3, 7, 19, 199
List the prime factors of 7439321.
2131, 3491
List the prime factors of 11643265.
5, 2328653
List the prime factors of 584999.
584999
List the prime factors of 209957.
11, 19087
List the prime factors of 442894.
2, 221447
What are the prime factors of 131930?
2, 5, 79, 167
What are the prime factors of 8889194?
2, 193, 23029
What are the prime factors of 14456645?
5, 7, 29, 14243
What are the prime factors of 667543?
103, 6481
List the prime factors of 12189.
3, 17, 239
List the prime factors of 1625136.
2, 3, 33857
List the prime factors of 3828409.
13, 317, 929
List the prime factors of 48862.
2, 11, 2221
What are the prime factors of 350733?
3, 116911
What are the prime factors of 6111884?
2, 1527971
What are the prime factors of 5675751?
3, 23357
What are the prime factors of 810470?
2, 5, 81047
What are the prime factors of 18408773?
17, 43, 25183
What are the prime factors of 5136671?
1103, 4657
What are the prime factors of 1121384?
2, 11, 12743
List the prime factors of 1556618.
2, 7, 111187
What are the prime factors of 265888?
2, 7, 1187
What are the prime factors of 12063913?
29, 47, 53, 167
What are the prime factors of 131340?
2, 3, 5, 11, 199
What are the prime factors of 124370?
2, 5, 12437
List the prime factors of 30070437.
3, 593, 16903
What are the prime factors of 43195?
5, 53, 163
List the prime factors of 869802.
2, 3, 144967
List the prime factors of 202076.
2, 7, 1031
What are the prime fac | {
"pile_set_name": "DM Mathematics"
} |
= 273617. Let w be (-1 + y)*3000/32. Round w to the nearest 1000000.
-6000000
Let u = 26581 + -26820.53. Round u to zero dps.
-240
Let f = 1100 + -453. Let z = f - 1049. What is z rounded to the nearest 100?
-400
Suppose 53*k + 56686618 = -13*k - 3283622. Round k to the nearest 1000.
-909000
Let p = 8585.467 - 8577. Round p to zero decimal places.
8
Let c = 9247 - 9211.07. What is c rounded to 0 decimal places?
36
Let i = 67680.9999947471 + -67681. What is i rounded to seven dps?
-0.0000053
Suppose 46*b - 30 = 40*b. Suppose b*f + 2*v = 14029992, -2*v - 7 = 1. Let x be (-4*1/(-2))/(23/f). What is x rounded to the nearest 10000?
240000
Let h(q) = -2*q**2 + 35*q + 171. Let f be h(38). Round f to the nearest 10.
-1390
Let u = 429.2456 + -429. Let q = -115.183 + 115. Let t = q + u. Round t to 2 decimal places.
0.06
Let b = -158100 + 158093.5479. Let j = 6.39 + b. Round j to two dps.
-0.06
Let f = 13 - 27. Let b = 18 + f. Suppose 11*w = b*w + 144900000. Round w to the nearest 1000000.
21000000
Let v = -5.6 - -5. Let o = -8.51 + -0.39. Let u = v - o. What is u rounded to 0 dps?
8
Let x = 131.32 - 131.8693. Round x to 1 dp.
-0.5
Let z = 6668634568685 - 6668605973228.000001. Let s = z - 28595384. Let f = -73 + s. Round f to 7 dps.
-0.000001
Let j = -267.675 - -212.71. Let a = j + 55. Let p = a - -0.465. Round p to 1 dp.
0.5
Let j(a) = -2*a**2 + 17*a + 88. Let b be j(12). Suppose 2796975 = d - 5*g, d + 8390975 = b*d - 5*g. What is d rounded to the nearest one hundred thousand?
2800000
Let s = -31765 - -31887.6. Round s to 0 dps.
123
Suppose -45319990 = -4*b - 5*c, -26129066 = -3*b - c + 7860932. What is b rounded to the nearest one hundred thousand?
11300000
Let m = 0.05553 + 0.02186. What is m rounded to 2 dps?
0.08
Let k = 383.49273 + 0.33727. What is k rounded to the nearest 10?
380
Let w = 12436.7478 - 12438. Round w to 2 dps.
-1.25
Let y = -259621.95600071 - -259620.136. Let n = -1.82 - y. Round n to 7 decimal places.
0.0000007
Let u = 1.9463 - 2.02443. Round u to two dps.
-0.08
Let y = 2488.424 + 38.276. Round y to the nearest 10.
2530
Let t = -0.049826096758 - 2080.950089203242. Let q = t - -2081. What is q rounded to 5 dps?
0.00008
Suppose 0 = 9*b + 35 - 359. Suppose -15808000 = -b*t + 20*t. Round t to the nearest 100000.
1000000
Let w = -178096 + 178099.92269. Let f = w + -3.89. Round f to three decimal places.
0.033
Let u = -383 - -385. Suppose 3*r - 19100012 = -5*p, p = -3*r + u*r + 3820004. Round p to the nearest one million.
4000000
Let a = 46.9 - 78.8. Let b = 7.1 - a. Let o = b - 38.26. Round o to one decimal place.
0.7
Let s = 66.35 - 60.696. Round s to one dp.
5.7
Let o = -40.12 + -0.88. Let m = 62 + o. Let b = 20.9963 - m. Round b to 3 decimal places.
-0.004
Let q = 2625.9265 - 2634.8. Let n = -0.0335 - q. Let x = -12 + n. What is x rounded to one dp?
-3.2
Let n(h) = -h**3 + 16*h**2 + 17*h + 22. Let g be n(17). Let f = g - 39. Let w(p) = 5*p - 5. Let u be w(f). Round u to the nearest 100.
-100
Let j = -242668011 + 242522898.00144. Let o = 145092 + j. Let z = o - -21. What is z rounded to 3 decimal places?
0.001
Let u(f) = 516*f**2 + 39*f + 570. Let j be u(46). What is j rounded to the nearest one hundred thousand?
1100000
Let j = 336.4 - 336.393241. Round j to three dps.
0.007
Let w = -636.4016 - 61.7669. Let h = 698 + w. Round h to 3 decimal places.
-0.169
Let k(o) be the second derivative of 84017*o**4/6 - 2*o**3 + 5*o**2/2 + 23*o. Let m be k(-6). Let c = m + -3079301. Round c to the nearest 1000000.
3000000
Let v = -905.22 - -368.3. Round v to the nearest one hundred.
-500
Let h = 1.7 - 1.708. Let c = -0.152 - h. Let j = c + 0.14286. What is j rounded to four decimal places?
-0.0011
Let i(s) = 4175*s + 100. Suppose 28 = -59*o + 57*o. Let k be i(o). What is k rounded to the nearest one thousand?
-58000
Let y = 0.05 + -0.014. Let t = y - -6.964. Let f = t + -6.9958. What is f rounded to 4 dps?
0.0042
Let y(w) = -7 - 6 - 5 - 116*w - 2. Let c(a) = -a + 3. Let l be c(-2). Let o be y(l). Round o to the nearest one thousand.
-1000
Let x be (-105)/(-35) - (-1 - -10). Let j be (x/4)/(4/(21768/(-9))). Round j to the nearest 100.
900
Let b = -160.2177 + 4.7447. Let z = b + 156.2. Round z to 1 dp.
0.7
Let u = -7626.106 - -7652. Round u to one decimal place.
25.9
Let b(p) be the first derivative of 25433*p**2/2 + p + 72. Let g be b(3). What is g rounded to the nearest 1000?
76000
Let q = 1843.15 + -1940. What is q rounded to the nearest ten?
-100
Let c = 174.6945 - 182.694956. Let i = -1.141 - -9.141. Let x = i + c. Round x to 5 decimal places.
-0.00046
Let x = -163 + 162.326. Let p = 0.6740128 + x. What is p rounded to five dps?
0.00001
Let r(c) = -475275*c + 2850. Let p be r(54). Round p to the nearest 1000000.
-26000000
Let a = -132 + 137. Suppose -5*b + a*r + 175162 = -105463, -b + 56149 = 5*r. Let g = b - 143129. What is g rounded to the nearest 10000?
-90000
Let c = -7277.694 - -37.894. What is c rounded to the nearest one hundred?
-7200
Let u = -38.5 - -38.697. Let k = -0.1971018 + u. Round k to five decimal places.
-0.0001
Let g = -110 - 7. Let r = g - -116. Let l be 14*((0 - -7001) + r). What is l rounded to the nearest 10000?
100000
Let z = -385.66 + 385.689539. Round z to 2 decimal places.
0.03
Let w = -13003.46 - -12849. Let b = -178.6 - w. Round b to the nearest 10.
-20
Let q(g) = g + 5. Let z be q(5). Suppose 0 = -j - j + z. Suppose r = -2*r + 15, -j*u + 25500015 = 3*r. Round u to the nearest one million.
5000000
Let i(f) = 67139*f**2 + 34*f - 8. Let k be i(38). Suppose -k = 17*s - 12*s. What is s rounded to the nearest 1000000?
-19000000
Suppose 0 = -2*h + 7*u + 74896, -h + 37435 = -u + 4*u. What is h rounded to the nearest 100?
37400
Let s = 150.8 - -3.2. Let u = s + 43. Let d = u + -199.29. What is d rounded to 1 decimal place?
-2.3
Let v = -18.6 + 19.88. Let g = 1.77 - v. What is g rounded to one dp?
0.5
Let s = 48.60121544 - 48.6. What is s rounded to 5 decimal places?
0.00122
Let b = -84022.81977 - -84022. Round b to 1 dp.
-0.8
Let m = -0.01419 + 232.56419. Let r = m + -237. What is r rounded to 1 decimal place?
-4.5
Suppose 5*r - 21312144 = -19*r. Let w be 3/12*-2 - r/(-12). Round w to the nearest 100000.
100000
Let o = -551 + 551.329. Let g = 0.631 - o. What is g rounded to two dps?
0.3
Let n = -178.6001 - -177.54. What is n rounded to one dp?
-1.1
Let g = 81 + 68. Let z = -88 + g. Let n = 61.00000029 - z. Round n to seven decimal places.
0.0000003
Let i = -21.9 - -112.5. Let b = -53.5617 - 0.4383. Let t = b + i. Round t to 0 dps.
37
Let d = 385 - 260. Let l be (-1110*d)/(5/((-360)/27)). Round l to the nearest one million.
0
Let b(l) = 4*l + 5. Let f be b(-3). Let o(a) = 9*a**2 + 6*a - 5. Let v be o(f). Suppose y + v = 3*y. Round y to the nearest ten.
200
Let a = 98632915 - 56979915. What is a rounded to the nearest 1000000?
42000000
Let j = 13 - -9. Let z = j - 22.156. Let r = -8.544 + z. Round r to the nearest integer.
-9
Let s = -437.99936 + 438. What is s rounded to three dps?
0.001
Let d = -19356401182 + 19356401802.00004648. Let g = d - 620. What is g rounded to six dps?
0.000046
Let s be (1 + -3 + 50324)/(9/300). Round s to the nearest one hundred thousand.
1700000
Let a = 2067.9083 + -2068. Let x = a + 0.09170371. Round x to 7 dps.
0.0000037
Let p(j) = -5*j + 84. Let i be p(16). Suppose -60798 = i*d - a, 0 = -2*d + 4*a + 8596 - 38988. Round d to the nearest 1000.
-15000
Let m = -4552 + 4016.8. Let p = 627 + m. What is p rounded to the nearest ten?
90
Let c = 0.031976 + -0.05765. Let i = c - -0.025. Round i to 5 dps.
-0.00067
Let j(f) = 420*f + 1641. Let x be j(12). What is x rounded to the nearest one hundred?
6700
Let f = -999 - -1698. Let t = f + -698.9999046. What is t rounded to 5 dps?
0.0001
Let z = 55 - 54.901. Let h = 13.229 - z. Let v = h + -13.1911. Round v to two decimal places.
-0.06
Let j = 12.463 - 12.46241584. Round j to four decimal places.
0.0006
Let n = -4448 + 4447.999999705. Round n to seven dps.
-0.0000003
Let i = 131 + -127. Let q be (1/2)/((-18)/i - -5). Let u be (q - -249 - 0)*2080. What is u rounded to the nearest 100000?
500000
Let d = 0.748 - 71.948. Let v = -3179 - -3098. Let i = d - v. What is i rounded to the nearest integer?
10
Let p = -75.235 - -76. Let g = -44.865 + p. Round g t | {
"pile_set_name": "DM Mathematics"
} |
maller: -13/2 or d?
-13/2
Let c = 9590 - 28717/3. Suppose -5*m + 86 = 5*n - 14, 34 = 2*m - n. Which is bigger: c or m?
m
Suppose 3*z + 2*j - 11 = 2*z, -j = -z + 2. Suppose 0 = -v + 5*f - 17, 0 = -z*v + 2*v + f - 51. Is v > -1?
False
Let n be 0 - 3 - (1 + (-18)/5). Let j be (-3)/2 + (-2)/(-4). Is n smaller than j?
False
Let g = -1215 + 1214. Is -4.25 less than g?
True
Suppose -l - 6 = 3. Suppose 4*g - 5*s = -25, 5*g + 3*s - 6 = -28. Let f be (-3 + 92/20)*g. Which is smaller: f or l?
l
Let c(v) = -v - 4. Let o be c(-5). Let f = -100 + 96. Let s be (-3 + (-11)/f)/(12/18). Which is smaller: o or s?
s
Let k be ((172/6)/1)/((-74)/333). Is -130 less than k?
True
Let z = 174.62 + -173. Let j = 0.38 + z. Which is bigger: j or -8?
j
Let i = 575 - 570. Are 13/3 and i nonequal?
True
Suppose 0 = -11*j - 26 + 4. Let l be (-5)/25*j*-1. Which is smaller: 9 or l?
l
Let s = -2136 + 702742/329. Which is smaller: 1 or s?
s
Let m = -685.7 - -685. Let z = 1.97 - 2.5. Let u = z - m. Is u bigger than -0.1?
True
Let o = 2.649 - 0.339. Let d = o - 0.31. Which is smaller: d or -1.2?
-1.2
Let g = 7/16 + -85/48. Let f = -77 + 69. Let p be (-1 + 3)/((128/f)/8). Is p != g?
True
Let h be 2 + (63316/(-29856) - 7/(-56)). Which is smaller: h or 1?
h
Let l = -21/9010 + 1/85. Let b = -855/742 + l. Suppose 5*k = k - 4. Is k <= b?
False
Let x be (4 + (-5121)/(-6))/6. Let g = x + -143. Which is smaller: 1 or g?
g
Let x = 1.23 - 61.23. Let p = x - -63. Is p bigger than -6?
True
Let f = -3.07 + 0.07. Let h(s) = -2*s**2 - 7*s - 25. Let b be h(-10). Let t = b + 2327/15. Are t and f equal?
False
Let l be (1 - 1)/((-4)/4). Suppose -2*z + 5*k - 2 = 0, 2*z + 5*k - 3*k + 2 = l. Is z bigger than -8?
True
Let n = 492 - 492.01. Which is smaller: -51/7 or n?
-51/7
Let g = -130.8 + 137.1. Which is smaller: 2 or g?
2
Let h(l) = -9*l + 14. Let x(i) = -5*i + 7. Let p(v) = 6*h(v) - 11*x(v). Let m be p(-7). Let j = 5 + -4. Is j < m?
False
Let y = -25.476 + -0.124. Let r = y - 4.4. Let h = 43 + r. Are 0 and h nonequal?
True
Let g = -1 + -4. Let c(f) = -11*f - 16. Let b be c(g). Is b greater than or equal to 79/2?
False
Suppose 0 = 5*t - 3*t. Suppose 0 = -5*s - t*s. Let h = -177 + 883/5. Which is smaller: h or s?
h
Let w(a) = 4*a**2 - 9*a**2 - 6*a - 6 + 1 - a**3 + 2. Let v be w(-4). Let x = -1 - v. Are -5 and x equal?
False
Let q(t) = -193*t - 60. Let k be q(-2). Which is greater: k or 324?
k
Let l be (2/(-4))/((-836)/8). Suppose -4*p - 16 = 2*o, 4*p + 16 = -5*o + 10*o. Is l bigger than o?
True
Let x(i) = -i**3 + 10*i**2 - 9*i - 4. Let m be x(8). Suppose 5*a - 5*k = 7*a - 119, k - 263 = -5*a. Is m <= a?
True
Suppose 12 = -4*q - 5*l + 43, -5*q = 5*l - 35. Let u(b) = -b**3 + 4*b**2 + 3*b - 2. Let f be u(q). Let x be (1/(-10))/(f/(-25)). Is 0 > x?
False
Let t(z) be the second derivative of -2*z - 9/2*z**2 - 1/12*z**4 + 3/2*z**3 + 0. Let v be t(8). Which is smaller: v or 1/10?
v
Let s be (112/(-49))/8 + 9656/(-14). Let w be 1/(-5) + (-228)/s. Are w and -1 non-equal?
True
Suppose 10 + 14 = -f. Let w = 4574 + -4599. Is f at most as big as w?
False
Let g be (-48)/84 - (-288)/14. Let n = g + -18. Does n = 2?
True
Let b = -14.57 - -14.77. Are -3/7 and b unequal?
True
Let k = 15095/3081 - 197/39. Which is smaller: 0 or k?
k
Let j = 80/37 - 1245/148. Which is bigger: -2 or j?
-2
Let l(v) = v**3 + 2*v**2 - 2*v. Let s(r) = r**3 + r**2 - 3*r. Let z(n) = 3*l(n) - 2*s(n). Let m be z(-4). Let o be (m + 3)*4/48. Are o and 0 nonequal?
True
Let q(v) = -v**3 - 4*v**2 + 26*v - 3. Let l be q(-11). Let t be (l/92 - 6)*(-2)/(-4). Is t at least 1?
False
Let h(a) = -a**3 - 5*a**2 - 9*a - 13. Let z be h(-4). Suppose -3 = 6*t - z*t. Which is smaller: t or 0.03?
0.03
Let j be (30/(-9))/((-12)/18). Suppose j = -2*m - 9. Is m less than -6?
True
Suppose -8470*w = -8472*w + 2. Which is bigger: w or 4/1423?
w
Let g = -2/6003 + -720338/66033. Which is smaller: -10 or g?
g
Let s(o) = 2*o - 2. Let z be s(4). Let y(v) = -v**3 + 4*v**2 + 9*v + 8. Let f be y(z). Is f less than 2?
True
Let k be 255/36*((-16)/20)/2. Is k > -3?
True
Let n = -69 - -71. Is 39/7 < n?
False
Let p = -2 - -3. Let l = 0 - p. Suppose -3*s = -22*o + 20*o + 12, 4*s - 3*o + 17 = 0. Is s < l?
True
Let w = 186 - 204. Which is smaller: -4 or w?
w
Let n be (2 + 0)*(8 - 3). Suppose 0 = 2*d + 2*k, d + d + 9 = -5*k. Which is bigger: d or n?
n
Let u = -59.4 + 144.52. Let y = -85 + u. Is y greater than or equal to 0.4?
False
Suppose 2*z + 49 + 15 = -a, 5*a + 4*z = -338. Is a greater than -70?
False
Let m(d) = -d**3 - 16*d**2 + 17*d + 22. Let w be m(-17). Let x be 6/30 + w/(-10). Let c be ((0 - -2) + -3)*-1. Do c and x have different values?
True
Let p be (-5)/10 + (-4)/((-200)/(-2945)). Is -60 equal to p?
False
Suppose q - 3 = 2*f, 13 = 5*f + q + 3. Let k be 2 - (-2 + (-6)/(-3)). Suppose -k*l = -7*l. Is f less than or equal to l?
False
Let h = 6 - 4. Let l = -26 + 32. Let n be (8 - l)*2/4. Which is bigger: n or h?
h
Let k = 71 - 701/10. Suppose 4*y = 4*m - 8, 3*m = -y - y + 16. Is k at most y?
True
Let o(p) = -4*p**2 - 4*p + 5. Let y be o(-2). Which is smaller: y or 6?
y
Let t = -341 + 3754/11. Suppose 10*c + 45 = 9*c. Let i be 6/c - (-2)/15. Is t greater than i?
True
Let l be -51*(-9)/324*6. Is 1/3 <= l?
True
Let o = -84083/67 + 1255. Let t(k) = -k**3 + 9*k**2 + 2*k + 80. Let a be t(10). Are a and o nonequal?
True
Let z(k) = 4*k**2 + 13*k - 3. Let v be z(-2). Which is greater: 14 or v?
14
Suppose m + 134 = 3*m. Let l = m + -61. Which is bigger: 7 or l?
7
Let w be 1*153*(-8)/(-24). Is 49 greater than w?
False
Suppose 5*m + 0*m - 10 = 0. Let x be (m/(-4))/(-1 + 27/24). Which is greater: x or -3?
-3
Let k be (-76)/(-10) + 27/(-45). Let a = -25 - -29. Let m be 69/12 - (-1)/a. Which is smaller: k or m?
m
Let g be 11270/(-63) - (-24)/27. Which is greater: -709/4 or g?
-709/4
Let f be 2/(-30) - (-2)/(-6). Let r = -14.058 - -0.058. Let x = -13 - r. Does x = f?
False
Suppose 7*y + 20 = 3*y + 2*j, -4*y + 3*j = 22. Let n be -22 - -3 - y - 2. Is n at least -2?
False
Let v be 6*(-4)/(-16)*2. Suppose -v = k, 3*l = -l + 5*k + 7. Let j be (l/7)/((-9)/21). Which is bigger: 2 or j?
2
Let x = 18.7 - 28.6. Let w = 9.2 + 0.8. Let v = w + x. Is -4 equal to v?
False
Let x = -0.065 + 0.06. Let m = x - -0.005. Is 28 greater than m?
True
Let a = -0.48 - -0.9. Let r = a - 0.02. Let n(q) = q - 8. Let k be n(7). Is k less than r?
True
Suppose -7*k + 67 = 25. Let j(o) = -o + 8. Let v be j(k). Is 3/7 greater than or equal to v?
False
Let k(l) = -l**3 + 11*l**2 + 24*l - 22. Let m be k(13). Which is bigger: m or -23?
-23
Let z be (5/(-10))/(11/(-22)). Is z less than or equal to -2/1743?
False
Let u = 68 - 71. Are -111 and u non-equal?
True
Let a = 21039/5 + -4171. Is a > 38?
False
Let q = 143 + -145. Let r be (3 - q*(-4 - -5))*-1. Which is smaller: -17 or r?
-17
Let x = -14/185 + -306/5735. Suppose 3*j + g + g + 3 = 0, -2 = 2*j + g. Which is bigger: x or j?
x
Let l be 2/3 - (-28)/(-141). Let w be (-4)/7 - (7 - 107103/12831). Let f = w - l. Which is bigger: f or -1?
f
Let h(k) = k**3 - 7*k + 1. Let s be h(0). Are 57/52 and s unequal?
True
Let u = -1/179 - 163/2864. Let o(w) = -2*w - 15. Let i be o(-7). Is u > i?
True
Suppose q - 2*q = -5*m, 0 = 5*m - 25. Suppose w - q = 6*k - 2*k, -3*k + 2*w - 25 = 0. Which is smaller: k or 2?
k
Let p = 32 - 31. Let d = p + -1.5. Let u be -2 + (-174)/(-34) + -3. Which is smaller: u or d?
d
Let s = 139 + -244. Let i = 116 + s. Is -1/4 at least i?
False
Let q be (864/(-70))/(-3) - (-18)/63. Is q bigger than 4?
True
Suppose 2*q - m - 3 = 0, -3*q + 7 = -3*m + 4*m. Let v be (-163)/7 + q/7. Let z = v + 24. Is z equal to 4/11?
False
Let z be (-10)/90 - (-67)/279. Let m = 26/279 + z. Which is bigger: 0 or m?
m
Let y = -3.79 - -3.79. Which is greater: y or -56?
y
Let n = 453.03 + -455. Let v = -2.27 - n. Let h = -9.8 - -9. Is h less than v?
True
Let j = -5 - -9. Let m be (-11)/(-319)*j/2. Is m less than 1?
True
Suppose -9 + 2 = -3*j + 4*q, 0 = j - 5*q + 5. Suppose -j*g = -g - 12. Suppose 10 = g*r - 2. Is -2/3 >= r?
False
Let r = 406 + -308. Which is smaller: r or 99?
r
Suppose -7338 + 2112 = 78*v. Let o(t) = -t**2 - t - 66. Let n be o(0). Is n < v?
False
Suppose 0 = 2*p + 24720 - 128214. Let q = 18163130/351 - p. Let b = q - -1/27. Which is smaller: b or 1?
b
Let l = -2/715 + -2846/500 | {
"pile_set_name": "DM Mathematics"
} |
(q) = 7*q - 3. Let t(n) = 6*j(n) - 17*z(n). Let m be t(7). What is the units digit of 1/5 + 118/m?
2
Let a(o) be the second derivative of o**3/2 + 25*o**2 - 14*o. What is the units digit of a(0)?
0
Let l(p) = 3*p - 7. Let t be l(7). Let m = -10 + t. Suppose -m*i = -2*i - 60. What is the tens digit of i?
3
Let y be -10 + 14 - (-10)/(-1). Let p(m) = -m**3 - 3*m**2 + 7*m + 8. What is the units digit of p(y)?
4
Let v(a) = a**3 + 6*a**2 - 4*a + 2. Let i be 3/(1 + 0) + -9. What is the units digit of v(i)?
6
Let u = -280 + 1352. What is the units digit of u?
2
Let v(g) = 105*g - 329. What is the units digit of v(11)?
6
Let j be 3/(((-63)/12)/(-7)). Let r be j - (3*-15 + 4). Suppose -r = -5*z - 10. What is the units digit of z?
7
Let q(a) = -a**2 - 14*a - 11. Let z be q(-13). What is the hundreds digit of z - ((-12)/4 + -156)?
1
Let f(d) = -d**2 + 4*d - 4. Let y be f(4). Let p be (102/9)/(y/(-30)). Suppose 5*t + 10 = p. What is the tens digit of t?
1
Let r(s) = s**2 - 33*s + 22. What is the units digit of r(-15)?
2
Suppose -5*g + 3525 + 4413 = 2*w, -4*g + 5*w = -6324. What is the thousands digit of g?
1
Let u(j) = 804*j - 153. What is the hundreds digit of u(4)?
0
What is the units digit of 5 - 13 - (-3 - 22)?
7
Let h be 2/3 - 44/(-132). Let r = -7 - -12. Let q = h + r. What is the units digit of q?
6
Let b = -870 + 1924. What is the units digit of b?
4
What is the hundreds digit of ((-960)/(-75))/((-2)/(-85))?
5
Let c(o) = 2*o + 1. Let t be c(-7). Let a(k) = k + 15. Let r be a(t). What is the tens digit of (-495)/(-12) - r/8?
4
Let d(t) = 3*t**2 + 13*t - 9. Let a(l) = -4*l**2 - 12*l + 8. Let o(u) = 4*a(u) + 5*d(u). What is the units digit of o(14)?
9
Suppose -5*g = -20, 170 = s + 3*g + 16. What is the tens digit of s?
4
Let y(q) = 175*q**3 + 5*q**2. Let x(o) = 175*o**3 + 6*o**2. Let d(w) = 4*x(w) - 5*y(w). What is the units digit of d(-1)?
4
What is the units digit of (-200)/80*(4278/5)/(-3)?
3
Suppose -4*z - 2*i + 776 = 0, -2*i - 596 = -4*z + z. What is the units digit of z?
6
Let f = -28 - -34. Suppose 42 = 4*g + 3*a, -g - a + f = 2*a. What is the units digit of g?
2
Let y be (1 + -20)*(-2 - -1). Let p = 119 + y. What is the units digit of p?
8
Suppose 3*n + 2 = -1. Let r be n - (-3 + 2 + 1). Let v(d) = -18*d**3 - 2*d**2 - 3*d - 2. What is the tens digit of v(r)?
1
Suppose -2*x + s + 579 = 0, 5*x + 3*s - 423 - 997 = 0. What is the tens digit of x?
8
Suppose 0*s + 7738 = 5*s + w, 0 = 4*s + w - 6191. What is the units digit of s?
7
Let d be ((-2)/(-1 + -1))/(16/64). Suppose -4*b + w + 560 = -3*w, -4*b + 544 = d*w. What is the units digit of b?
8
Let t = 14 - 5. Let n = 11 - t. Suppose -3 = n*i - 9. What is the units digit of i?
3
Suppose 0 = -g - 7*g. Suppose g*v - 14 = -2*v. Suppose -3*t - 3*q = -54, -5*t - 4*q = -v - 83. What is the tens digit of t?
1
Suppose 4*u = -h - 20, -u + 4 = -2*h + 9. Suppose h = 5*l - 0*f + 5*f - 110, 58 = 4*l - 2*f. Let z = 33 - l. What is the tens digit of z?
1
What is the hundreds digit of ((2 - (6 + -7)) + -1)*1060?
1
Suppose 0*t + 4*t + 4*a - 12 = 0, 0 = -2*t + a + 3. Let p(o) = o**2 - 4*o + 4. Let g be p(t). Suppose -2*x = -g*x - 42. What is the tens digit of x?
2
What is the tens digit of -7 + (1*4700)/5?
3
Let m = 19 + 53. What is the units digit of 1956/m + (-2)/12?
7
Suppose -200 = -p + 525. What is the hundreds digit of p?
7
What is the units digit of -39*((-36)/(-63))/((-12)/364)?
6
Suppose -52*f = -37*f - 83760. What is the hundreds digit of f?
5
Suppose 5*c - 134 + 34 = 0. Suppose 3832 - 832 = c*p. What is the hundreds digit of p?
1
Let r(c) = -3*c - 3 + 2 + 4. Suppose -17*f - 64 = 106. What is the tens digit of r(f)?
3
Suppose 0 = -9*p + 3655 + 3239. What is the hundreds digit of p?
7
Let x = 15 - 11. Suppose 16 = -x*o, 0*i = 4*i - 2*o - 28. Suppose 3*r - 57 = 3*t, r - i*t - 23 = -r. What is the units digit of r?
4
Suppose 8*n + 0*n - 200 = 0. Suppose -4*p - 100 = -4*z, z - 3*p - 10 = n. What is the units digit of z?
0
Let d(u) = u**3 - u**2 + u + 183. Let o be d(0). Let z = -127 + o. What is the tens digit of z?
5
Let p(k) = -4*k + 1. Suppose -n = 3*f + 1, 2*n - 3*f + 13 = 2. Let a be p(n). Suppose a + 13 = 2*l. What is the units digit of l?
5
Suppose 25*t = 29*t - 16. Suppose -b + 4*q + 74 = 0, -2*b = -7*b - t*q + 346. What is the units digit of b?
0
Let i = 30 - 55. Let a = -20 - i. What is the units digit of a?
5
Suppose -4*s = 3*h - 57, 12 = 3*h + 3. Suppose 8*g - s*g = -484. What is the units digit of g?
1
Let p be (-7)/(35/200) - -4. What is the units digit of 402/8 - (-9)/p?
0
Suppose -d = -f + 143, 597 = 4*f + 8*d - 7*d. What is the tens digit of f?
4
What is the units digit of 5 + -1 - (-18)/(-9)?
2
Suppose 465*h = 457*h + 16. Suppose -48 = -m + 16. Suppose -h*z = -0*z - m. What is the units digit of z?
2
Suppose 0 = -5*r + s + 942 + 4943, 0 = 4*s + 20. Suppose 4*v + 2*v - r = 0. Suppose -w = -5*w + v. What is the tens digit of w?
4
Suppose 40 = 4*w - 9*w. Let y(o) = o**2 - 5*o + 2*o**2 + 1 - 7*o - 4*o**2. What is the tens digit of y(w)?
3
Let c(w) = 152*w**2 + 5*w + 22. What is the hundreds digit of c(3)?
4
Let s = 2 + 12. Let c be 3/(s/4 + -2). Suppose -c*h - 6 + 12 = 0. What is the units digit of h?
3
Let t(a) = -a**2 + 5*a - 4. Let h be t(3). Suppose -l + 9 = -h*l. Let q = l + 19. What is the tens digit of q?
1
Suppose -2614*y + 45440 = -2604*y. What is the tens digit of y?
4
Suppose 0 = 13*u - 6218 - 1686. What is the hundreds digit of u?
6
Let o(k) = -k - 9. Let t be o(-4). What is the tens digit of (-7539)/(-105) - 1/t?
7
Suppose -2*x - 105 + 971 = 0. Let d = x + -243. What is the hundreds digit of d?
1
Let a(i) = 4*i**2 - 110*i + 35. What is the hundreds digit of a(32)?
6
Suppose 0 = 6*c + 2*c + 32. What is the units digit of 49/21 - c/6?
3
Suppose -4*z + 8 = -2*z. What is the units digit of (-836)/(-26) + z*3/(-78)?
2
Suppose -r - 1300 = -5*r. Suppose -10*g - 45 = -r. What is the tens digit of g?
2
Let a = 4475 - 1613. What is the hundreds digit of a?
8
Suppose -2 + 6 = 2*k. Suppose -5*j = k*v, 0*j = -5*j + 4*v. Suppose j = -3*t - 24 + 159. What is the tens digit of t?
4
Suppose -1941 = 24*v - 13053. What is the tens digit of v?
6
Let s(c) = -2*c**3 - c**2 + c. Let r be s(-2). Suppose r*q - 4*q - 120 = 0. What is the tens digit of q?
2
Suppose -o = 2*d - 1, 3*d - 4 = -3*o - 2*d. Suppose 5*p + 3 = y, -p - 12 = -2*y + o. What is the units digit of y?
8
Suppose s = -2, -4*a - s + 3 = -5*a. Let c(u) = -u**3 - 4*u**2 + 5*u + 2. Let x be c(a). What is the tens digit of -18*(x/(-4) - 1)?
2
Let v(n) = -n**3 - 6*n**2 + 8*n + 7. Let i be v(-7). Suppose i = 5*f - 55 - 645. What is the tens digit of (-30)/8*f/(-15)?
3
Suppose -2*i - 2 = -2*l, 7*l - 2*l + 2*i = 19. Suppose 4*f - l*q = -4*q + 409, f - q = 101. What is the units digit of f?
2
Let o(t) = -t**2 + 10*t + 3. Let b be (48/2)/((-24)/(-16)). Suppose 0 = -0*i - 2*i + b. What is the tens digit of o(i)?
1
Let q = -220 + 239. What is the units digit of q?
9
Suppose -182 = -3*k - 524. Let o = 271 + k. What is the hundreds digit of o?
1
Suppose -556*p = -563*p + 10549. What is the hundreds digit of p?
5
Suppose -5*v = -3*v - 68. Let k = v + -9. What is the units digit of k?
5
Let o = -4 - 16. What is the units digit of 1 + 2 - o/10?
5
Suppose -14*f + 27256 = 9966. What is the thousands digit of f?
1
Let x(n) = 3*n**2 - 12*n - 26. What is the tens digit of x(11)?
0
Let x = -13 + 12. What is the units digit of (-35 - -12)/(-2 - x)?
3
What is the thousands digit of ((-1224)/12)/((-2)/82*2)?
2
Let q = -43 - -43. Suppose 3*n + 7*n - 340 = q. What is the units digit of n?
4
Let q be 1 - (-4)/(-20)*5. Suppose -2*g - 2*p = -q*p - 126, 4*g - 237 = -p. What is the units digit of g?
8
Let b be 1/(8/(-9) - -1). What is the units digit of (-4)/(-18) + b/((-324)/(-2440))?
8
Let w = 7 - 2. Suppose w*z + 2*p + 81 = 3*p, 5*z + 84 = 4*p. Let f = -10 - z. What is the units digit of f?
6
Let d = 950 + 411. What is the units digit of d?
1
Suppose -5*a + 1358 = 2*a. Let r = a + -112. What is the tens digit of r?
8
Suppose 0 = i - 3*i + 4. Suppose -4*x + 108 = -3*x + 5*w, -160 = -i*x + 4*w. What is the tens digit of x?
8
Let p = -102 - -165. Suppose -7*l = -147 - p. What is the tens digit of l?
3
Let g(b) = -22*b**2 - 14*b + 6. Let w be g(-5). Let i = 689 + w. What is | {
"pile_set_name": "DM Mathematics"
} |
/(12/(-32)).
2, 3
Let u(i) = -91*i - 86. List the prime factors of u(-2).
2, 3
Let n(x) = x**3 + 7*x**2 - 2*x - 5. Let s be n(-7). Let v = s + -6. Suppose 5*z + 67 = v*g, 0*g - 80 = -4*g + 2*z. What are the prime factors of g?
19
Let h = -58 - -63. Suppose -h = -76*p + 75*p. List the prime factors of p.
5
Let r(f) = -14*f - 69. What are the prime factors of r(-8)?
43
Let g(f) = 113*f**3 - 2*f - 116*f**3 + 3*f**2 - 2*f**2. What are the prime factors of g(-2)?
2
Suppose 0 = 3*a - 12 - 3. Suppose -a*y + 7 = -3. Suppose 0 = -y*v - 3*v + 115. List the prime factors of v.
23
Let g(l) = 4*l**2 + 4*l - 6. Let r be g(-3). What are the prime factors of (-2)/(-3) + 456/r?
2, 13
Let s = 17 + 17. Suppose -10 + s = m. Suppose -3*t = t - m. List the prime factors of t.
2, 3
Let n be (0 + (-4)/6)*(-3699)/18. Let h = n + -32. List the prime factors of h.
3, 5, 7
Let m(t) = 6*t**2 - 30*t - 34. List the prime factors of m(14).
2, 19
Let p = 199 + 54. List the prime factors of p.
11, 23
Suppose 13 = -3*l - 4*j - j, -3*j = -4*l + 31. Suppose -x - 5 = 4*r - 2, l*r + 9 = -3*x. What are the prime factors of (-20)/x*36/30?
2
Let r be (-2)/4 + 7/(-2). Let g be (-4)/8*50 - r. List the prime factors of (-156)/(-9)*g/(-14).
2, 13
What are the prime factors of 15/3 + 5887/(2 - -5)?
2, 3, 47
Let p = 2 + -14. Suppose -6 = -3*n + 4*n. What are the prime factors of (n/p)/((-1)/(-10))?
5
Suppose 21*s + 30*s - 28305 = 0. List the prime factors of s.
3, 5, 37
Let k be (-18)/(-27)*(11 + 1). Let u(o) = 7*o - 4. What are the prime factors of u(k)?
2, 13
List the prime factors of (-10 - -12)*1309/2 + -2.
1307
Suppose i + 12 = 97. Let a = i + -47. List the prime factors of a.
2, 19
Let b = -35 + 1721. What are the prime factors of b?
2, 3, 281
List the prime factors of 778 + 6 - (-3)/(-3)*-1.
5, 157
Suppose -3*p - 4*l = 22, 2*l - 5 - 5 = 2*p. Let f(m) = m**2 + 2. What are the prime factors of f(p)?
2, 19
Suppose 0 = -3*u + i + 7, -10*u + 2*i - 6 = -14*u. Suppose u*y - 402 = -5*b, -2*b = y - 0*y - 199. List the prime factors of y.
191
Let c(b) = 5*b**3 - 5*b**2 + 4*b - 8. List the prime factors of c(5).
2
What are the prime factors of -21 + 26 - (-3239 - (0 - 1))?
3, 23, 47
List the prime factors of 21300/(-15)*1/3*-3.
2, 5, 71
List the prime factors of 1 - ((-90605)/20 + (-1)/(-4)).
23, 197
Suppose -3*n + 6 = -2*n. Let s be 1/(15/n + -2). Suppose -24 = -s*w + w. What are the prime factors of w?
2, 3
Let h = -30 - -97. Let v = -24 + h. Suppose -2*o = -5*z - o + v, -17 = -z + 3*o. List the prime factors of z.
2
Let q(f) = -25 - 3*f - 10*f + 15*f. What are the prime factors of q(16)?
7
Suppose 0 = k - 3*k + 662. What are the prime factors of k?
331
Let j = 39 - 36. Suppose j*s + 12 - 225 = 0. What are the prime factors of s?
71
Let o(h) = h**3 + 8*h**2 + 4*h + 17. Let t be o(-7). Suppose p - 7 = t. What are the prime factors of p?
3, 5
Let h(i) = -i - 5. Let n be h(-7). Suppose -y = -q - n, 0 = 3*y + q - 2 - 12. Suppose -195 + 71 = -y*x. List the prime factors of x.
31
Let w(t) be the second derivative of t**4 + 4*t**3/3 - 8*t**2 - 11*t. What are the prime factors of w(3)?
2, 29
Let s(b) = -74 + 20 - 6*b**2 + 9*b + 16 + 15 + b**3 + 16. Suppose -4*m + 30 = m. List the prime factors of s(m).
47
Suppose -4*q - q + 580 = 0. Let c(a) = -a + 18. Let k be c(10). Suppose k*o = 4*o + q. What are the prime factors of o?
29
Suppose -2*m = -3*c - 1597, 10*m = 15*m - c - 3986. List the prime factors of m.
797
Let w = 26 + -50. List the prime factors of (-84)/w*(-116)/(-7).
2, 29
Let p = -119 - -49. What are the prime factors of (-8526)/p + 1/5?
2, 61
Let s be 47/5 - 4/10. Let t = 51 - s. Suppose -2*o = -3*o + t. List the prime factors of o.
2, 3, 7
Suppose 44 = 11*k - 0*k. Suppose -5*o - 4*u + 40 = 0, k*u - 1 = 2*o - 17. What are the prime factors of o?
2
Let b(i) = -6. Let p(z) = z. Let v(n) = b(n) - 12*p(n). What are the prime factors of v(-6)?
2, 3, 11
Suppose -71 - 25 = -16*d. List the prime factors of d.
2, 3
Let b be 6/12 + 837/6. Suppose 4*c - b = 2*c. List the prime factors of c.
2, 5, 7
Let c(v) = -v**2 + 2*v + 1. Let l be c(2). Let m = -584 + 581. What are the prime factors of 198/6 - l*m?
2, 3
Suppose -2*w = -358 - 220. Suppose 0 = 4*b - 5*x - 60 - 356, w = 3*b + 2*x. What are the prime factors of b?
3, 11
Let s(r) = 3*r**2 + 34*r - 25. List the prime factors of s(-25).
2, 5
Let q(j) = -j**3 - 43*j**2 - 100*j + 59. List the prime factors of q(-41).
797
Let v(t) = -t**3 - 10*t**2 + 13*t - 28. What are the prime factors of v(-12)?
2, 13
Let a(q) = 52*q + 4. What are the prime factors of a(5)?
2, 3, 11
Let w = 17 + -17. Suppose 0 = -w*j - 2*j + 124. Let u = -38 + j. What are the prime factors of u?
2, 3
Suppose 179452 = 43*s + 15*s. List the prime factors of s.
2, 7, 13, 17
Let l be -1 + (-2)/(-4 + 2). Suppose -3*g + 124 + 2 = l. Suppose 2*d = -0*d + g. List the prime factors of d.
3, 7
Let a(y) = -82*y - 67. What are the prime factors of a(-2)?
97
Let w = 157 + 198. Let o = w + -245. What are the prime factors of o?
2, 5, 11
Let g = 2803 - 1421. List the prime factors of g.
2, 691
Suppose 4*o + 3 + 1 = 0, -3*y + 5*o + 2 = 0. Let c be (-5)/(10/(-8)) + y. Suppose -4*m + a = -132, a - c*a - 60 = -2*m. What are the prime factors of m?
2, 17
Suppose 5*t - 4*t + 5 = 0. Let m(l) = -l**3 - 4*l**2 + 2*l - 6. List the prime factors of m(t).
3
Suppose -624 = -0*k - 4*k. Let d = -5 - -9. Suppose 7*r = d*r + k. List the prime factors of r.
2, 13
Let q = 128 - 92. Let c = 293 + q. What are the prime factors of c?
7, 47
Let k = -45 + 45. Suppose 654 = 6*r - k*r. List the prime factors of r.
109
What are the prime factors of ((-28)/6)/7*(-262 - 2)?
2, 11
Let k(r) = 33*r**2 - 72*r - 80. What are the prime factors of k(-12)?
2, 173
Let k = -150 + 279. List the prime factors of k.
3, 43
Let w be (-21)/7 - -10 - 0/3. Let h be (0 - (-1 + 2)) + 31. Let y = h - w. What are the prime factors of y?
23
Suppose w = -2*i + 1622, -3*i - 2*i + 3244 = 2*w. List the prime factors of w.
2, 811
Suppose -12*z + 335 = -7*z. Suppose -2*s + z = 19. What are the prime factors of s?
2, 3
Suppose -22*y + 11880 = -11*y. What are the prime factors of y?
2, 3, 5
Let q = -83 + 94. Let d = q + 135. List the prime factors of d.
2, 73
Suppose 2*a + 712 = -692. List the prime factors of (8/(-12))/(12/a).
3, 13
Suppose -91*c + 202740 = 33*c. What are the prime factors of c?
3, 5, 109
Let o(b) = 144*b**2 + 41*b + 110. What are the prime factors of o(-3)?
1283
Let s = -59 - 169. Let m = -59 - s. What are the prime factors of m?
13
Let w(r) = -8*r + 41. Let m(s) = -5*s**2 + 4*s - 5. Let v be m(2). List the prime factors of w(v).
3, 59
Suppose -4*a = -3*v + 2363, -10*v - 1570 = -12*v + 4*a. What are the prime factors of v?
13, 61
Let a be (12/(-5))/((-18)/(-225)). List the prime factors of ((-56)/5)/(4/a).
2, 3, 7
Let u be (-40)/(-16)*(1 + 1). Let r(p) = 2*p**3 - 2*p**2 - p - 1. List the prime factors of r(u).
2, 97
Let a = -474 + 488. List the prime factors of a.
2, 7
Let m = -480 - -720. What are the prime factors of m?
2, 3, 5
Suppose -14*f + 17148 = -422. What are the prime factors of f?
5, 251
Suppose 5*d - 160 = -f + 6*f, 2*f = 10. Let b = d + -26. List the prime factors of b.
11
Suppose -3*c + 6*c - 3*w = 135, -1 = w. Suppose -c = -5*y + 4*y. What are the prime factors of y?
2, 11
Suppose 0 = -r + f + 58, 2*r = 6*r + 2*f - 232. Suppose 0 = -5*h + 6 + 29. Suppose -h = d - r. What are the prime factors of d?
3, 17
Suppose 38477 = 13*h - 6087. What are the prime factors of h?
2, 857
Suppose 357 = -42*x + 35*x. Suppose 3*f + 11 = -88. Let d = f - x. List the prime factors of d.
2, 3
Suppose -c + 12 = 3*c. Suppose c*g - 133 = 4*p, -g + 79 = 5*p + 3. What are the prime factors of g?
3, 17
Let l(j) = -14*j - 141. What are the prime factors of l(-27)?
3, 79
Suppose b - l - 193 = 0, -4*l - 396 = -4*b + 2*b. What are the prime factors of b?
2, 47
Let a = -1 + 3. Let l be (2/(-4))/((-5)/230). Suppose l = a*f + 5*o, 2*f - 57 = 3*o - 10. What are the prime factors of f?
19
Let k be 23/4 + (-15)/20. Suppose k*l + 181 = 626. List the prime factors of l.
89
Let i(q) = q**2 + 2*q - 8. Let g be i(-4). Let r = -7 - -33. Suppose -3*b - 2*d + 3*d + 71 = g, 2*d = -b + r. List the prime factors of b.
2, 3
Suppose -10*q = 2*g - 9*q - 1147, 0 = 3*g + 3*q - | {
"pile_set_name": "DM Mathematics"
} |
o**(-37)/o*o)/o*o)))) assuming o is positive.
o**(-25)
Simplify (v/(v**(1/3)/v)*v**(2/17)*v)**4 assuming v is positive.
v**(568/51)
Simplify c**(-11/4)/c**(-7/2) assuming c is positive.
c**(3/4)
Simplify (n*n**(-5)*n)/(n*n**(-4/5)) assuming n is positive.
n**(-16/5)
Simplify (v/(v*v**(-20)))**2 assuming v is positive.
v**40
Simplify (a**6*a*a**(1/5))/((a/a**8*a)/((a/(a/(a/(a*a**(-3/2)))))/a)) assuming a is positive.
a**(137/10)
Simplify (z**(4/11)*z*z)/(z/(z/z**(2/3)*z)) assuming z is positive.
z**(89/33)
Simplify f**(-35)*f**(-12/13) assuming f is positive.
f**(-467/13)
Simplify h**(11/4)*h**(2/9) assuming h is positive.
h**(107/36)
Simplify c*c**(7/3)/c*c*c**6 assuming c is positive.
c**(28/3)
Simplify (v/(v*v/v**(-4/7))*v**(1/4)*v)**(-1/3) assuming v is positive.
v**(3/28)
Simplify (h**(-18))**(-20/7) assuming h is positive.
h**(360/7)
Simplify ((m*m*m**2*m*m*m)/m**(-6))/(m**(2/7)*m**1) assuming m is positive.
m**(82/7)
Simplify ((w*w**(2/7))/((w**(-2/3)*w)/w))**43 assuming w is positive.
w**(1763/21)
Simplify ((c**(-1/3)/c)/c)**36*((c/(((c**1/c)/c)/c)*c)/c)**(-4) assuming c is positive.
c**(-96)
Simplify x**(-21/5)*x/(x*x**28) assuming x is positive.
x**(-161/5)
Simplify (f*f**(4/9)*f)/(f*f/((f*f**(4/7)*f)/f)*f)*(f*f*f**(-7)/f*f)/(f/(f*f*(f/((f/f**(-2/19))/f))/f)) assuming f is positive.
f**(-3698/1197)
Simplify r**(3/2)/(r/((r/r**16)/r*r)) assuming r is positive.
r**(-29/2)
Simplify (((k*k/(k/(k/(k*k/k**0*k))))/k)/k)/k*k**(-1)*k**6*k**(1/13) assuming k is positive.
k**(14/13)
Simplify (y/y**(-9)*(y**(-4)*y)/y*y)**5 assuming y is positive.
y**35
Simplify ((j**(3/8)*j)/j*j/j**7)/(j**(2/7)/j)**(1/23) assuming j is positive.
j**(-7205/1288)
Simplify ((j**(-2/7)*j)/(j/j**(2/27)))/(j*j**(-4)*j*j*j**(-3)*j) assuming j is positive.
j**(527/189)
Simplify ((w/((w**(-2/7)*w)/w*w))/w*w/(w/w**(-1/3)))/((w/w**(-2/3))/(w/((w/((w*w*w/(w**6*w)*w*w)/w*w*w)*w*w)/w))) assuming w is positive.
w**(-33/7)
Simplify (n*n**0*n)**34*n**(-3)*n**(-1)*n*n assuming n is positive.
n**66
Simplify (a**(-1/5)/a**0)/(a**(-3)*((a**1/a)/a)/a) assuming a is positive.
a**(24/5)
Simplify (y**1)**49/((y/(((y**(-1)*y)/y)/y))/y)**45 assuming y is positive.
y**(-41)
Simplify (j**0*j*j**(-9/2)*j)**(14/5) assuming j is positive.
j**(-7)
Simplify (q*q/q**(3/5))/q**(1/54) assuming q is positive.
q**(373/270)
Simplify (u/u**(1/4))**46/(u**(2/3))**(1/4) assuming u is positive.
u**(103/3)
Simplify q/(q**(-26)*q*q)*q*q**(-4/13) assuming q is positive.
q**(334/13)
Simplify (z**(-4/3)/(((z*z*z/z**(-3)*z)/z)/z))/((z**(-1)/z)/z*z*z**(-6)) assuming z is positive.
z**(5/3)
Simplify ((v/(v*v/v**(-2)))/v)/v**(-5)*v**(3/2)*v*v*v**(-3/7)*v assuming v is positive.
v**(71/14)
Simplify ((d/(d/d**(-2/7)))**4)**(-16/5) assuming d is positive.
d**(128/35)
Simplify (((q*q/(q**(-9)*q*q)*q)/q)/q)**(2/63) assuming q is positive.
q**(16/63)
Simplify z*z*z/(z/((z**(-16)/z*z)/z)*z)*z*z/z**(5/6) assuming z is positive.
z**(-89/6)
Simplify ((c**(-3/2)*c)/c)**(-1/72) assuming c is positive.
c**(1/48)
Simplify d**(-16)/((d/(d*d/d**(-17)))/d) assuming d is positive.
d**3
Simplify h/h**(-1/26)*h**(-13) assuming h is positive.
h**(-311/26)
Simplify (u*u/u**11)**(7/6) assuming u is positive.
u**(-21/2)
Simplify (f/(f/(f**31/f)*f*f))**(-4/19) assuming f is positive.
f**(-112/19)
Simplify (i/i**(-1/11)*i)/(i/(i*i*i*i*i**(1/2)))*(i**(-2/5))**(2/41) assuming i is positive.
i**(25127/4510)
Simplify m*(m*m/m**4*m*m)/m*m*m**(1/32) assuming m is positive.
m**(33/32)
Simplify (i/(i**(-22)/i))/i**(17/6) assuming i is positive.
i**(127/6)
Simplify (d**(-2/133)/d)/((d/(d*d**(5/9)))/d) assuming d is positive.
d**(647/1197)
Simplify d**(1/35)*d**(-12/5)*d assuming d is positive.
d**(-48/35)
Simplify h**(-1/29)/(h*(h**(4/3)/h)/h*h) assuming h is positive.
h**(-119/87)
Simplify ((g**3/g)/g*g*g/(g*g**(-5)))/(g**(1/4))**(-39/7) assuming g is positive.
g**(235/28)
Simplify (d**(-19)*d)**2 assuming d is positive.
d**(-36)
Simplify r**(-2/29)/r**(-1/10) assuming r is positive.
r**(9/290)
Simplify (r**(2/7)/(r/(r**(2/7)/r)))/(r**(-1))**(-12) assuming r is positive.
r**(-94/7)
Simplify ((a/a**0)**(-18))**42 assuming a is positive.
a**(-756)
Simplify ((i**(-7)/i)/i)**(-36) assuming i is positive.
i**324
Simplify (x**(-1))**(-14/9)/(x**(-1/4)*x*x*x*x**(1/3)/x) assuming x is positive.
x**(-19/36)
Simplify (d*d**(-1)*d/d**(2/3))/((d*d*(d*d/(d/d**0))/d)/d*d*d*(d*d/d**(1/12))/d) assuming d is positive.
d**(-43/12)
Simplify (k*k**(-1)/k)**(-2/27)*k*k**(-3/11)*k*k**(2/37) assuming k is positive.
k**(20389/10989)
Simplify (n*n*(n**(-1)*n)/n)**16*(n**(-2/3))**3 assuming n is positive.
n**14
Simplify ((g/((g*g*g**(1/3)/g*g)/g*g))/(g**(4/7)/g))/(g/(g/(g**(2/3)*g)))**41 assuming g is positive.
g**(-1454/21)
Simplify ((q**(-1/8)*q)/q)/q*q**(-2/9)*(q**0*q)/(q/(q/((q**6/q)/q))) assuming q is positive.
q**(-313/72)
Simplify (l**(-13)/l)/(l*l**(8/7)) assuming l is positive.
l**(-113/7)
Simplify ((b/(b/b**(-2)))**(-4/23))**13 assuming b is positive.
b**(104/23)
Simplify ((u/(u*((u/u**(-26))/u)/u))/u)/(u/(u/((u**(-7/4)/u*u)/u*u))) assuming u is positive.
u**(-97/4)
Simplify (j**(-3)/j*j**(-1))/(j**(-1)/j)**(2/9) assuming j is positive.
j**(-41/9)
Simplify ((s/s**2)**26)**(2/3) assuming s is positive.
s**(-52/3)
Simplify (a*a**(-2/85))/a*a**(-30)*a assuming a is positive.
a**(-2467/85)
Simplify (t**(-3)/t**(-4/5))**(-16) assuming t is positive.
t**(176/5)
Simplify g**(-4)/(g/(g/g**(-1/3))) assuming g is positive.
g**(-11/3)
Simplify (x*x**3)**(-49) assuming x is positive.
x**(-196)
Simplify (r/r**3*r**(1/8))**49 assuming r is positive.
r**(-735/8)
Simplify (x*x/x**(-17)*x*x*x)**(7/2) assuming x is positive.
x**77
Simplify (y**(-8)*y*y**(2/3))/(y**0/y*y)**(16/5) assuming y is positive.
y**(-19/3)
Simplify l**(-29)/(l*(l/(l*(l/(l/((l**(3/17)*l)/l)))/l))/l) assuming l is positive.
l**(-507/17)
Simplify (g*g**(-3/4))/g**(-4)*g**7*(g/(g**3/g))/g assuming g is positive.
g**(37/4)
Simplify (y**(4/5)/(((y*y**(-1/2))/y)/y))**(-3) assuming y is positive.
y**(-69/10)
Simplify (x/(x/x**(-3/7))*(x*x**(-3))/x*x)/(x*x**(-6)*x/(x*(x**(-2/7)/x)/x)) assuming x is positive.
x**(2/7)
Simplify (z**(-1/4))**(-11/6)/(z*(z/z**(-2/7))/z*z)**11 assuming z is positive.
z**(-4147/168)
Simplify ((g/(g/g**(-5)))/(g/(g**4/g)))**(-10) assuming g is positive.
g**30
Simplify ((v/(v/v**(-2/33)))/v*v**(-16))**8 assuming v is positive.
v**(-4504/33)
Simplify ((d*d**(-6)/d*d)/d**(-12))**(-2/19) assuming d is positive.
d**(-14/19)
Simplify ((f**(-3/4)*f)**15)**(-31) assuming f is positive.
f**(-465/4)
Simplify (r**(-1/2))**(-1/14)/(r**0)**26 assuming r is positive.
r**(1/28)
Simplify ((o**(1/6)/o)/(o*o*(o/(o**(2/7)/o)*o)/o))**(-3/40) assuming o is positive.
o**(191/560)
Simplify ((p*p*p/(p**15*p))/(p*p*p**(-3/7)))**(-9) assuming p is positive.
p**(918/7)
Simplify (c**(-3)/c**(4/5))/(c**(-1/3)*((c**(-2)*c)/c)/c) assuming c is positive.
c**(-7/15)
Simplify r**(-18)*r/r**14 assuming r is positive.
r**(-31)
Simplify ((((y/(y/y**(-1)))/y)/y)**13)**(-21) assuming y is positive.
y**819
Simplify ((k*k**22*k)/k)/(k/(((k*k/(k*(k**12*k*k*k)/k))/k)/k)*k) assuming k is positive.
k**6
Simplify (p**0/p)**39*p**0*p*p*p*(p**1*p)/p assuming p is positive.
p**(-35)
Simplify (q**(-1)*q)**(4/11)*(q**0)**(25/4) assuming q is positive.
1
Simplify (w*(w*w**(2/3))/w)**(-38/5)/(((w*w**(2/3))/w)/w)**(4/11) assuming w is positive.
w**(-138/11)
Simplify (p**(10/7)/(p/(p/p**(-2/7)*p)*p))/(p**(-6/5)/(p**(-5)/p)) assuming p is positive.
p**(-108/35)
Simplify (c*c**(-2/11)*c)**(7/2) assuming c is positive.
c**(70/11)
Simplify (r*(r/r**(-1))/r)/(r*r*r**1/r)*(r**(2/3))**(15/7) assuming r is positive.
r**(10/7)
Simplify (s/((s*(s*s**2)/s*s)/s)*s)**(7/8)*((s*s/(s/s**2))/s)/s*s*s*s**(-2/5) assuming s is positive.
s**(69/40)
Simplify (o**(1/3))**(-11)/(o/(o*o**(3/7))*o**(-2/5)) assuming o is positive.
o**(-298/105)
Simplify ((m**(-1/4)*m*m)**30)**(-40) assuming m is positive.
m**(-2100)
Simplify i**(-5/4)*i/(i/i**(-3/7))*i*i/i**(-5/4)*i**(-4/9)*i assuming i is positive.
i**(134/63)
Simplify (l/l**1)**22/(l*l/(l/l**2*l)*l**7) assuming l is positive.
l**(-9)
Simplify ((g**(3/2)/g)/(((g*g**0)/g*g)/g*g*g))/((((((g**(3/2)/g)/g*g)/g)/g)/g*g)/g**(-2/5)) assuming g is positive.
g**(-2/5)
Simplify (x**(-2/69))**(2/17) assuming x is positive.
x* | {
"pile_set_name": "DM Mathematics"
} |
(b) -43 (c) -2 (d) -14
c
Which is the nearest to -0.16? (a) 0.4 (b) -1 (c) 1/2 (d) 5/4 (e) -0.05
e
What is the closest to -0.3 in 0, -11/21, -0.39?
-0.39
What is the closest to 0 in -1, 1/2, -305, -2/29?
-2/29
What is the closest to 1/8 in 0.08, 8/5, 0.2?
0.08
Which is the closest to 8584? (a) -3 (b) -0.5 (c) 0.09
c
What is the closest to 1/2 in -0.03, 0.1, 5, -1/6, -1.2?
0.1
What is the nearest to -3 in -41, -2/13, 0.3, 3/2, 7?
-2/13
Which is the nearest to 2/3? (a) -5 (b) -3/4 (c) -0.4 (d) -187
c
What is the closest to -2 in -482, -1/5, 6?
-1/5
What is the closest to 767 in 0.1, -1, -2/7, 1/4?
1/4
What is the closest to -0.2 in 508, 5, -5/39, 0.5?
-5/39
What is the closest to 2/145 in -0.3, -0.57, -1, -2, -0.9?
-0.3
What is the closest to -0.2 in -6, 0.5, -6/5, 5/18, 0?
0
What is the closest to -2 in -353, 0.5, -15, -1?
-1
What is the nearest to 2/5 in 4, 11, 0.2, -1, -191?
0.2
What is the nearest to -3/5 in 0.3, 2/21, 6, -2353?
2/21
What is the nearest to 1 in -2/7, 1/6, -1, 0.2, 1.4?
1.4
Which is the closest to 5? (a) -5 (b) 25 (c) -2/27 (d) 4
d
Which is the closest to -2? (a) -60 (b) 1/5 (c) -0.17 (d) -1 (e) -59
d
Which is the closest to -0.129? (a) 0 (b) 2/13 (c) 1
a
What is the nearest to -2/3 in -3/5, 4, -6/5, 6.6, 5?
-3/5
What is the closest to 2298 in 1, 4/9, 2, -2/7, 2/5?
2
What is the closest to -1/3 in -23/15, -5, -2/7, 2/9, -2?
-2/7
Which is the closest to 3/878? (a) -2 (b) -1/5 (c) 5 (d) 3
b
What is the nearest to 3 in -1/8, 1/3, -3/47?
1/3
What is the nearest to 3 in -0.3, 3, 2, 44, -11?
3
What is the closest to -3/7 in 4, -0.9, -2/9?
-2/9
What is the closest to -1 in -1/4, -2/1479, 0, -0.04, -2/9?
-1/4
What is the nearest to 2 in 0, 1399, -0.3, 1/5?
1/5
Which is the nearest to 1.9? (a) -12 (b) 2 (c) 4 (d) -2
b
What is the closest to -2/9 in 6/4729, -70, 0?
0
What is the nearest to -0.1 in 29, 2, -2, -29?
-2
What is the nearest to 0.2 in 25, 3/113, -0.2?
3/113
What is the closest to 0 in 2/13, 13, 2/107, 3/2?
2/107
What is the closest to 4 in 0.03, -0.4, -1.1, 3?
3
Which is the closest to -2? (a) 13 (b) -201 (c) 2
c
What is the nearest to 0.08 in -15, -0.1, -81?
-0.1
What is the closest to -569 in -4/5, -14.9, -3?
-14.9
What is the closest to 1 in 1/10, -1/4, 0.00455, 0?
1/10
Which is the closest to -15? (a) 0.03 (b) -9 (c) 2/31
b
Which is the closest to -17? (a) -4 (b) -3/13 (c) 3 (d) 60
a
What is the nearest to -33 in -1372, -5/6, 3?
-5/6
Which is the closest to 53183? (a) -3 (b) 1/4 (c) 0.05
b
Which is the nearest to 0.2? (a) 1/1834 (b) 1/9 (c) -2/13
b
Which is the closest to 0.1? (a) -0.02 (b) 5 (c) -0.05 (d) -0.2
a
Which is the closest to 0? (a) 399 (b) -3 (c) 0.4 (d) -2/205 (e) 4/7
d
What is the nearest to -0.311 in 4, 0, -0.2, -0.01?
-0.2
What is the closest to -2/287 in -1, 0, -2/15, -16?
0
What is the closest to -3 in 5, 2/11, 101/4, 0.5?
2/11
Which is the closest to 2/4845? (a) -1/4 (b) -0.05 (c) 1/3
b
Which is the closest to -0.2? (a) -1 (b) -0.2 (c) 1/6 (d) -33 (e) -9
b
Which is the nearest to 0.07? (a) 287/2 (b) -4 (c) -61
b
What is the nearest to -0.14054 in -4, 1/8, -0.4, 1?
-0.4
What is the nearest to -1 in -3, -1, 20/3, 2?
-1
Which is the closest to 1? (a) 0.12 (b) -2 (c) -1/322
a
Which is the nearest to -1/4? (a) -68 (b) -0.56 (c) 5 (d) 0.05
d
What is the closest to -1 in -1, 34, 830/9, -5/8?
-1
What is the nearest to -1/3 in 5, 81, 32?
5
Which is the closest to -12? (a) -6 (b) -0.03 (c) 4 (d) -4
a
Which is the closest to 0? (a) 90 (b) -1 (c) 5
b
What is the closest to 2/25 in 0.5, 0.06, -14, 0?
0.06
What is the nearest to -4/1247 in -0.4, 4, -0.5, -3?
-0.4
What is the nearest to -2/7 in 1/7, -2004, 6, 2, 2/9?
1/7
What is the closest to 1 in 3, -1.631, -2/11, 0.2?
0.2
What is the closest to -2/7 in 0.4, -2, -0.4, 474?
-0.4
What is the closest to -0.1 in 726, -0.2, 2?
-0.2
Which is the closest to 2? (a) -47 (b) -0.5 (c) -0.04
c
What is the nearest to -1/3 in -1/9, 94.88, 2/7?
-1/9
Which is the closest to -1? (a) 5 (b) -3 (c) -0.17
c
What is the nearest to -3 in 3, 0.049, -0.9, 4?
-0.9
What is the closest to -0.5 in 7, -0.015, 2/7, 5?
-0.015
What is the closest to -0.03 in 120, -1/4, -0.1, 0.2, 0?
0
What is the closest to -47/28 in -1/5, -5/2, 1/5, 3?
-5/2
What is the closest to -2/3 in -3, -1, -92, 4, -1/2?
-1/2
What is the closest to 3 in 24/11, 0.4, 0.5, -8, 1?
24/11
Which is the closest to -0.2? (a) -0.5 (b) -0.2 (c) -5 (d) -3/1720
b
What is the closest to -1 in 2, -7, 8, -6.4, -2?
-2
What is the nearest to 4 in -1/3, 0.191, 0.2, -3, 0.1?
0.2
Which is the closest to 2? (a) 1 (b) -0.5 (c) -4 (d) 10/7 (e) 34
d
What is the closest to 17/6 in -0.0494, -0.2, 2/11?
2/11
Which is the nearest to -0.1? (a) -0.02 (b) 150 (c) -0.5 (d) -1
a
Which is the nearest to 0.12? (a) 1/2 (b) 28 (c) 10/9 (d) -5/6 (e) -5
a
What is the nearest to -2/3 in 1, -2/553, -3, 2, -1?
-1
Which is the nearest to 98/9? (a) -4 (b) 3/5 (c) 1
c
What is the closest to -1/2 in 1, -29, 0.2, -1/6, 3/2?
-1/6
What is the closest to -4 in 2, 1259, -4?
-4
Which is the nearest to 1.99? (a) -1/10 (b) -2/7 (c) -5 (d) -1/4
a
What is the closest to 1/6 in 7, 0.309, -2/7?
0.309
What is the closest to -0.1 in 0.5, -3, 0.3, 41530?
0.3
What is the closest to -1.26 in -2, -5, -2/5, -8?
-2
Which is the closest to -0.1? (a) -27/2 (b) -2/11 (c) 2057 (d) 3
b
What is the closest to 1 in 1/4, 0, -2/5, -11/30, 1?
1
What is the closest to 3 in 0.2, -0.2, 2/17, 0.06, 7?
0.2
Which is the closest to 2? (a) 44 (b) 136 (c) 1/2 (d) -5
c
Which is the nearest to -1? (a) -17 (b) 19 (c) 4 (d) -30
c
What is the nearest to 2/5 in -309, 0.04, 12/5?
0.04
What is the nearest to -38 in 0, -56, -0.4, -5.5?
-56
What is the closest to 1 in 5, 81.1, -0.128?
-0.128
What is the closest to 9.43 in -1, -3, 1, -2?
1
What is the closest to -0.26 in 5, -5, 0.5, 5/27?
5/27
Which is the nearest to -1? (a) 0.3 (b) 5 (c) -2.2 (d) -124
c
What is the closest to 1 in -1474, -4, 0.27?
0.27
Which is the nearest to -1? (a) -68 (b) -5 (c) 2/3 (d) -1
d
What is the closest to 0.1 in -2, -2/159, 16, 4?
-2/159
Which is the closest to 69? (a) 4 (b) -0.2 (c) 4/7 (d) -0.1
a
Which is the closest to 1/41? (a) -0.1 (b) -175/4 (c) -2/55
c
What is the nearest to -4/9 in 69, 0.3, 30, -0.2, -3?
-0.2
Which is the closest to -1? (a) -4 (b) 3/7 (c) -106 (d) 0.2
d
Which is the closest to -1/4? (a) -4/5 (b) -0.5 (c) 2/3 (d) 39
b
What is the closest to 1 in 4, 1.4, -174?
1.4
Which is the closest to 1/4? (a) 2/113 (b) 1 (c) -0.3 (d) -0.021
a
What is the closest to -1 in -3/2, 27, -176?
-3/2
What is the nearest to 2/7 in -0.0093, 2/13, 36/5?
2/13
Which is the nearest to -0.1? (a) -35 (b) -66 (c) -2 (d) 2/5 (e) -1
d
Which is the nearest to 25/13? (a) 2/11 (b) 8 (c) 0.3 (d) -18 (e) 0.2
c
What is the nearest to -0.1 in -5, -4/13, -4/115?
-4/115
Which is the nearest to -1? (a) 4 (b) 1.3422 (c) -1 (d) 1/11
c
What is the nearest to -0.7 in -10, -2/7, 4/7, -4, 10?
-2/7
What is the closest to -2 in -29, 138, 0.4, 0.1?
0.1
Which is the closest to -47? (a) -1 (b) 5 (c) 2 (d) -12
d
Which is the nearest to 193? (a) 1 (b) 5 (c) 4/59
b
What is the closest to 1 in -20/7, -1/7161, 1/4?
1/4
What is the nearest to 1/3 in 0.5, 2, 0.15, -1.16?
0.5
Which is the closest to -0.07? (a) -0.2 (b) 597 (c) 0.5
a
Which is the closest to -3.52? (a) -4 (b) 4 (c) -265
a
What is the nearest to -0.1 in 1/7, 0, 372?
0
Which is the closest to -3/11? (a) 0.3 (b) 1/3 (c) -811
a
Which is the closest to 2/5? (a) -0.02632 (b) -5/6 (c) 2 (d) 5
a
What is the nearest to 2 in 3158, -0.7, -2, -1?
-0.7
Which is the closest to -0.114? (a) -7/2 (b) -2/3 (c) -2/5 (d) 0.1 (e) 1
d
What is the nearest to -1 in -1/3, 2/3, 0.2, -2590?
-1/3
Which is the nearest to -6? (a) 3 (b) 1.5 (c) -0.1 (d) 1/32
c
What is the nearest to 34 in -0.043, 3, 5, 2/5?
5
What is the nearest to -1 in -2, 5, 103?
-2
Which is the nearest to -1? (a) -0.09 (b) -2 (c) -0.9 (d) 15/26
c
Which is the closest to 1? (a) -2/5 (b) 1/5 (c) 211 (d) -1
b
Which is the closest to 2? (a) -3 (b) 3 (c) -5 (d) 1049
b
What is the closest to -1/8 in 4/37, 2/25, -2/17?
-2/17
Which is the nearest to 0.2? (a) 1 (b) -117 | {
"pile_set_name": "DM Mathematics"
} |
ine h(s(z)).
-6694*z**2
Let a(b) = -b**2 + 9*b. Let q(j) = -974 + j**2 + 2*j - 2*j + 974. What is a(q(t))?
-t**4 + 9*t**2
Let h(r) = -170*r - 2. Let p(t) = 13930*t. Determine p(h(s)).
-2368100*s - 27860
Let v(f) = -9*f. Let p(g) be the second derivative of -2*g**2 + 0 - 1/3*g**3 - 217*g. Determine p(v(o)).
18*o - 4
Let p(d) = d. Let j(l) = -4*l**2 - 119*l - 112*l + 152*l. Determine j(p(v)).
-4*v**2 - 79*v
Let p(q) = 19*q - 15. Let j(t) = 75*t - 63. Let l(f) = -5*j(f) + 21*p(f). Let w(a) = 6*a. Let n(d) = 2*d. Let s(c) = 11*n(c) - 4*w(c). What is s(l(h))?
-48*h
Let b(v) = 53*v - 1. Let k(z) = 8066*z. Give b(k(j)).
427498*j - 1
Let o(f) be the third derivative of -f**5/60 + 1215*f**2. Let w(b) = 267*b. Determine w(o(j)).
-267*j**2
Let i(f) = 58*f**2. Let k(l) = 215899*l**2 + 1. Give k(i(d)).
726284236*d**4 + 1
Let y(n) = -5*n. Let c(k) be the second derivative of k**3/6 - 579*k. What is c(y(p))?
-5*p
Let p(w) = -8*w. Let r(d) = -286*d + 60. Let j(h) = -95*h + 18. Let o(x) = 10*j(x) - 3*r(x). What is o(p(k))?
736*k
Let a(q) be the first derivative of 0*q + 8*q**3 + 0*q**4 + 7 - 1/120*q**5 + 0*q**2. Let z(r) be the third derivative of a(r). Let j(n) = -9*n. Give j(z(c)).
9*c
Let a(n) = -29*n**2. Let q(l) = 4170578*l - 2. What is q(a(o))?
-120946762*o**2 - 2
Let o(m) be the first derivative of 5*m**2/2 + 26994. Let f(s) be the third derivative of -s**4/3 - s**2. Give f(o(l)).
-40*l
Let y(m) = -m**2 - 15*m. Let h(g) = -27*g**2 + 3*g - 9. Let r(i) = -35*i**2 + 4*i - 12. Let f(n) = -4*h(n) + 3*r(n). Calculate y(f(d)).
-9*d**4 - 45*d**2
Let p(s) be the third derivative of 4*s**5/15 - 12*s**2. Let g(l) be the third derivative of -3*l**5/20 - 139*l**2. Give p(g(a)).
1296*a**4
Let b = 741 + -738. Let x(k) = 5*k**2 + 3*k + 3. Let p(z) = -9*z**2 - 5*z - 5. Let a(l) = b*p(l) + 5*x(l). Let n(v) = v - 21. Give n(a(i)).
-2*i**2 - 21
Let l(k) = 0 + 0 - 4*k. Let v be (-4)/(-3) - (-108)/162. Let d(r) = 4*r**2 - 6. Let h(j) = -3*j**2 + 9. Let i(b) = v*h(b) + 3*d(b). Calculate l(i(f)).
-24*f**2
Let j(u) = 4*u. Let i(a) = 2*a - 1 + 4*a + 3 + 7*a. Let k(v) = -495*v - 77. Let b(y) = 231*i(y) + 6*k(y). Give j(b(n)).
132*n
Let v(b) be the third derivative of -7*b**4/24 - b**2. Let r(z) = -920 + 920 + 3*z**2. Determine v(r(s)).
-21*s**2
Let k(n) be the third derivative of 0*n + 7/24*n**4 + 0 + 191*n**2 + 0*n**3. Let c(i) = 36*i. Give c(k(p)).
252*p
Let l(i) = 139760*i + 2. Let s(d) = 47*d**2. Give l(s(v)).
6568720*v**2 + 2
Let c be 26/40 - (-7)/2*(-192)/1680. Let g(h) be the second derivative of c*h**4 + 12*h + 0*h**2 + 0 + 0*h**3. Let b(l) = -6*l. Give b(g(a)).
-18*a**2
Let s(k) = 4*k**2 + 791. Let z(m) = -207*m - 315. Calculate z(s(b)).
-828*b**2 - 164052
Let k(a) = -17390*a**2. Let m(o) = 5024*o**2. Give m(k(r)).
1519318390400*r**4
Let y(w) be the first derivative of 1059*w**2 + 6779. Let h(k) = -5*k**2. Determine h(y(i)).
-22429620*i**2
Let s(h) = h + 27. Let c(v) = -14*v**2 - 30*v + 6. Let q(t) = 407*t**2 + 880*t - 176. Let f(l) = -88*c(l) - 3*q(l). Determine s(f(u)).
11*u**2 + 27
Let o(q) = 9*q. Suppose -51*i + 9*i = 51*i + 11*i. Let z(v) be the third derivative of i*v + 0 + 0*v**4 - 42*v**2 + 0*v**3 - 1/20*v**5. Calculate o(z(b)).
-27*b**2
Let k(g) = -2*g. Suppose -19*q + 13*q = -90. Suppose -21*n = -q*n - 6. Let j(z) = 5 + 5 + n - 2 - 3*z. Determine k(j(c)).
6*c - 18
Let a(f) = -1300*f. Let l(q) = 353*q - 849*q + 494*q. Determine l(a(u)).
2600*u
Let t(q) = -2*q**2. Let b(m) = -19887*m - 13*m**2 + 70*m**2 + 19887*m. Determine t(b(o)).
-6498*o**4
Let r(i) = 41*i**2 - 18*i**2 - 25*i**2. Let a(m) be the first derivative of 2*m**2 + 97. Calculate r(a(u)).
-32*u**2
Let v(j) = 1255*j - 24. Let g(k) = 1253*k - 28. Let d(p) = 6*g(p) - 7*v(p). Let x(u) = 3*u. Determine d(x(i)).
-3801*i
Let f(n) = 13*n + 5. Let v(d) = -10703*d**2. Give f(v(m)).
-139139*m**2 + 5
Let u(l) be the first derivative of 0*l**2 + 0*l + 1 - 19/3*l**3. Let c(m) = -9*m - 346. Let k(r) = -4*r - 173. Let w(x) = -2*c(x) + 4*k(x). Calculate u(w(z)).
-76*z**2
Let p(z) = 38*z**2. Let b(d) = -137349*d. What is p(b(g))?
716860416438*g**2
Let f(t) = 86196666*t**2. Let u(n) = n. What is f(u(r))?
86196666*r**2
Let r(f) be the second derivative of -13*f**4/6 - 310*f - 2. Let i(y) = 2*y**2 - 7. Give i(r(p)).
1352*p**4 - 7
Let t(w) = 2*w**3 - 65*w**2 - 33*w. Let n be t(33). Let l(b) = n*b - 9*b - 9*b + 15*b. Let u(i) = -3*i + 2. Give u(l(k)).
9*k + 2
Let d(g) = 33*g - 45. Let r(o) = 28*o - 43. Let k(b) = 5*d(b) - 6*r(b). Let c(n) = n. Calculate k(c(j)).
-3*j + 33
Let u(b) = -12*b. Let m(t) = 8*t**2 - 14. Let x(o) = -o**2 + 1. Let f(p) = -5*m(p) - 70*x(p). Determine f(u(l)).
4320*l**2
Let k(l) be the second derivative of l**3/3 - 29*l**2 + 458*l + 2. Let p(v) = -16*v**2 - 2*v. What is p(k(o))?
-64*o**2 + 3708*o - 53708
Let h(r) = r**2 + 33847*r + 1. Let y(z) = 3*z + 17. What is y(h(t))?
3*t**2 + 101541*t + 20
Let c(r) = 7*r**2. Let s(d) = -51296427*d**2. Calculate s(c(u)).
-2513524923*u**4
Let q(m) = 2*m**2. Let u(t) = -10227138*t. Determine u(q(y)).
-20454276*y**2
Let w(o) = 17*o + 95. Let n(h) = -2 + 232709*h + 2 - 232707*h. Determine n(w(p)).
34*p + 190
Let c(n) = -n**2 + 2*n. Let q(z) be the first derivative of -3*z**3 - 405. What is q(c(v))?
-9*v**4 + 36*v**3 - 36*v**2
Let d(g) = -1437*g. Let p(r) = 21*r - 129. Calculate p(d(n)).
-30177*n - 129
Let w(c) be the second derivative of 13*c**4/12 - 2*c + 28. Let p(h) = -18*h + 27. Let m(z) = 9*z - 12. Let k(q) = -9*m(q) - 4*p(q). Give w(k(l)).
1053*l**2
Let q(k) = 117*k**2 - 2*k. Let o be q(-1). Let m(j) = 2*j + o - 119. Let y(f) be the first derivative of 3*f**2 - f - 16. Give m(y(p)).
12*p - 2
Let s(i) = 884*i**2. Let l(x) = 21*x**2 - 2*x**2 + x**2 - 21*x**2. Calculate s(l(c)).
884*c**4
Let l(r) = -47*r**2. Let c(f) = -73*f**2 + 240*f. Give c(l(m)).
-161257*m**4 - 11280*m**2
Let t(a) = 23*a - 16*a - 8*a. Let x(u) = -u**3 + 5*u**2 + 8*u - 9. Let s be x(6). Let c(j) = 10 - s - 10*j**2 - 7. Give t(c(w)).
10*w**2
Let b(a) be the third derivative of -a**5/30 + 158*a**2 + 4*a. Let n(c) = -512*c**2 - 5 + 5. Give b(n(i)).
-524288*i**4
Let s(q) = -9*q. Let k = 3 + 1. Suppose 3*p - u = k*p + 1, 0 = -u - 4. Let m(t) = p*t**2 - 9*t + 9*t - t**2. Determine s(m(h)).
-18*h**2
Let j(v) = -v**2. Let t(k) = k**2 + 1. Let s(x) = -24 + 5 + 7*x**2 + 11*x + 21. Let i(y) = -s(y) + 2*t(y). Give i(j(o)).
-5*o**4 + 11*o**2
Let h(y) be the second derivative of y**4/4 + y. Let j(d) = 193*d**2 - 389*d**2 - 58*d + 197*d**2 + 58*d. Determine j(h(u)).
9*u**4
Let g(h) = -2*h. Let d(t) = 39459749*t - 31736. Let w(q) = -3730*q + 3. Let b(r) = 3*d(r) + 31736*w(r). Give g(b(m)).
-7934*m
Let c(r) = -582 + 582 + 23*r**2. Let m(i) be the first derivative of 2*i**3/3 - 1150. Calculate m(c(x)).
1058*x**4
Let p(l) = l. Let x(z) be the third derivative of 77*z**4/6 + z**2 + 436. What is x(p(n))?
308*n
Let t(b) = 6*b**2. Let k(u) be the second derivative of u**5/6 + 3*u**3/2 + 2*u**2 - 186*u. Let h(m) be the second derivative of k(m). What is h(t(d))?
120*d**2
Let o(v) = -2*v**2. Let a(c) be the second derivative of 0*c**2 - 3*c - 9 + 15/2*c**3. What is a(o(l))?
-90*l**2
Let v(p) = -29*p. Suppose 223*g = 216*g + 28. Let l(x) = -g - 6*x - 11 + 6 + 9. Determine l(v(r)).
174*r
Let t(n) = -2*n**2 + 3*n - 15. Let c(j) = 3*j**2 - 5*j + 25. Let u(k) = -3*c(k) - 5*t(k). Let o(s) = -339*s + 2. What is o(u(q))?
-339*q**2 + 2
Let d(v) = 2*v**2 + 37840576*v - 37840576*v. Let s(x) = 11*x**2 - 2*x + 3*x + 2*x. Give d(s(c)).
242*c**4 + 132*c**3 + 18*c**2
Let k(l) be the third derivative of 0*l**3 + 6*l**2 + 0*l - 7 + 7/30*l**5 + 0*l**4. Let c(d) = d**2. Calculate c(k(o)).
196*o**4
Let j(u) = -3*u. Let o(q) = -19489096*q. Give o(j(k)).
58467288*k
Let a(g) = 2*g. Let i(y) = 3937973*y**2. What is a(i(q))?
7875946*q**2
Let u(y) = 765*y. Let i(s) = -12*s**2 - 8*s. Let m(v) = 5*v**2 + 3*v. Let a(l) = -3*i(l) - 8*m(l). Calculate a(u(g)).
-2340900*g**2
Let g(a) = 3*a**2 - 5*a**2 + 4*a**2 + 5*a + 4 - a. Let q(k) = -k**2 - k - 1. Let v(i) = g(i) + 4*q(i). Let l(n) = 17*n**2 + 37*n**2 + 13*n**2. What is v(l(x))?
-8978*x**4
Let o(t) = -1891*t**2. Let l(v) = 101*v**2 + 101*v**2 - 203*v**2. Determine l(o(h)).
-3575881*h**4
Let p(x) = -9*x + 3. Let g(f) be the second derivative of -5*f**4/12 + f + 407. Determine p(g(m)).
45*m**2 + 3
| {
"pile_set_name": "DM Mathematics"
} |
minutes after 10:42 AM?
9:46 PM
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127
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327
What is 255 minutes before 6:47 AM?
2:32 AM
How many minutes are there between 9:07 PM and 6:19 AM?
552
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184
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102
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627
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647
What is 528 minutes before 2:05 PM?
5:17 AM
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560
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526
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539
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265
How many minutes are there between 4:56 AM and 4:58 AM?
2
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591
What is 38 minutes before 7:52 PM?
7:14 PM
What is 657 minutes before 3:24 PM?
4:27 AM
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535
What is 517 minutes after 3:14 PM?
11:51 PM
What is 538 minutes before 7:42 AM?
10:44 PM
What is 538 minutes after 9:52 PM?
6:50 AM
What is 610 minutes before 10:52 AM?
12:42 AM
How many minutes are there between 5:15 PM and 12:11 AM?
416
What is 91 minutes after 7:27 PM?
8:58 PM
How many minutes are there between 4:52 PM and 2:20 AM?
568
How many minutes are there between 4:10 PM and 3:39 AM?
689
How many minutes are there between 9:43 AM and 10:23 AM?
40
What is 488 minutes after 10:29 PM?
6:37 AM
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309
What is 428 minutes before 10:54 AM?
3:46 AM
What is 588 minutes after 11:01 PM?
8:49 AM
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689
What is 371 minutes before 3:41 PM?
9:30 AM
What is 582 minutes before 1:34 AM?
3:52 PM
How many minutes are there between 4:07 PM and 9:10 PM?
303
What is 485 minutes after 4:15 AM?
12:20 PM
How many minutes are there between 11:55 AM and 4:07 PM?
252
How many minutes are there between 5:29 PM and 10:24 PM?
295
How many minutes are there between 4:27 AM and 1:15 PM?
528
How many minutes are there between 3:18 PM and 8:42 PM?
324
What is 646 minutes after 4:47 PM?
3:33 AM
How many minutes are there between 3:28 AM and 1:55 PM?
627
What is 154 minutes after 5:19 PM?
7:53 PM
How many minutes are there between 8:49 AM and 8:55 AM?
6
What is 52 minutes before 4:08 AM?
3:16 AM
How many minutes are there between 12:13 PM and 3:19 PM?
186
What is 467 minutes after 8:36 PM?
4:23 AM
How many minutes are there between 2:20 AM and 1:37 PM?
677
What is 576 minutes after 9:14 AM?
6:50 PM
How many minutes are there between 6:06 PM and 1:06 AM?
420
How many minutes are there between 6:27 AM and 3:40 PM?
553
How many minutes are there between 3:32 PM and 9:44 PM?
372
What is 612 minutes after 7:20 AM?
5:32 PM
How many minutes are there between 1:42 AM and 8:13 AM?
391
How many minutes are there between 6:53 PM and 6:40 AM?
707
What is 620 minutes before 2:56 PM?
4:36 AM
What is 35 minutes after 10:11 AM?
10:46 AM
What is 643 minutes before 4:24 AM?
5:41 PM
What is 439 minutes before 9:11 AM?
1:52 AM
How many minutes are there between 7:51 PM and 12:16 AM?
265
How many minutes are there between 10:27 AM and 1:32 PM?
185
How many minutes are there between 4:55 PM and 12:28 AM?
453
How many minutes are there between 8:16 PM and 4:18 AM?
482
How many minutes are there between 1:04 PM and 4:15 PM?
191
How many minutes are there between 12:10 AM and 2:39 AM?
149
How many minutes are there between 9:35 PM and 6:42 AM?
547
What is 585 minutes before 1:10 PM?
3:25 AM
What is 612 minutes before 11:36 PM?
1:24 PM
What is 270 minutes after 5:12 PM?
9:42 PM
What is 424 minutes before 10:19 AM?
3:15 AM
What is 558 minutes before 5:36 AM?
8:18 PM
How many minutes are there between 12:43 PM and 4:57 PM?
254
How many minutes are there between 2:43 AM and 8:37 AM?
354
What is 89 minutes before 4:16 AM?
2:47 AM
What is 714 minutes before 12:25 PM?
12:31 AM
How many minutes are there between 8:18 AM and 11:03 AM?
165
How many minutes are there between 2:12 AM and 8:51 AM?
399
What is 11 minutes after 9:18 PM?
9:29 PM
How many minutes are there between 9:50 AM and 8:29 PM?
639
How many minutes are there between 9:56 AM and 11:43 AM?
107
How many minutes are there between 2:51 AM and 5:36 AM?
165
How many minutes are there between 8:46 PM and 7:11 AM?
625
How many minutes are there between 9:06 PM and 7:13 AM?
607
How many minutes are there between 1:40 AM and 3:17 AM?
97
How many minutes are there between 5:49 PM and 2:48 AM?
539
What is 623 minutes after 7:19 PM?
5:42 AM
How many minutes are there between 10:58 PM and 1:50 AM?
172
What is 324 minutes after 9:21 AM?
2:45 PM
How many minutes are there between 7:48 AM and 1:11 PM?
323
How many minutes are there between 12:16 PM and 11:47 PM?
691
What is 181 minutes after 7:51 AM?
10:52 AM
How many minutes are there between 8:58 PM and 8:41 AM?
703
What is 69 minutes before 5:15 PM?
4:06 PM
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324
What is 592 minutes after 3:26 AM?
1:18 PM
How many minutes are there between 4:47 AM and 1:33 PM?
526
How many minutes are there between 12:56 AM and 7:44 AM?
408
How many minutes are there between 1:37 AM and 9:45 AM?
488
What is 660 minutes after 3:20 AM?
2:20 PM
What is 457 minutes after 8:57 AM?
4:34 PM
How many minutes are there between 3:48 PM and 4:39 PM?
51
What is 51 minutes after 12:38 PM?
1:29 PM
What is 305 minutes after 4:28 AM?
9:33 AM
How many minutes are there between 4:59 PM and 11:47 PM?
408
How many minutes are there between 9:44 PM and 12:48 AM?
184
What is 708 minutes after 11:43 PM?
11:31 AM
How many minutes are there between 10:16 PM and 7:19 AM?
543
What is 96 minutes after 12:17 PM?
1:53 PM
What is 127 minutes after 4:05 AM?
6:12 AM
What is 255 minutes before 12:56 AM?
8:41 PM
How many minutes are there between 8:39 AM and 4:16 PM?
457
What is 689 minutes after 10:32 PM?
10:01 AM
How many minutes are there between 9:25 PM and 11:58 PM?
153
What is 49 minutes after 6:07 AM?
6:56 AM
How many minutes are there between 11:33 AM and 8:17 PM?
524
What is 152 minutes before 5:28 PM?
2:56 PM
How many minutes are there between 6:19 PM and 2:43 AM?
504
How many minutes are there between 1:49 PM and 7:33 PM?
344
How many minutes are there between 3:55 AM and 4:33 AM?
38
How many minutes are there between 11:29 AM and 1:19 PM?
110
How many minutes are there between 2:57 PM and 7:59 PM?
302
How many minutes are there between 10:28 AM and 8:44 PM?
616
What is 313 minutes after 4:18 PM?
9:31 PM
What is 6 minutes before 1:55 AM?
1:49 AM
What is 342 minutes after 2:31 PM?
8:13 PM
What is 631 minutes after 5:12 PM?
3:43 AM
What is 54 minutes before 2:00 PM?
1:06 PM
How many minutes are there between 6:04 PM and 2:09 AM?
485
How many minutes are there between 6:41 PM and 9:58 PM?
197
What is 564 minutes after 10:09 PM?
7:33 AM
What is 203 minutes before 10:44 AM?
7:21 AM
How many minutes are there between 10:06 PM and 8:18 AM?
612
How many minutes are there between 1:44 AM and 10:57 AM?
553
What is 501 minutes after 12:17 PM?
8:38 PM
How many minutes are there between 12:42 PM and 7:30 PM?
408
What is 202 minutes after 10:02 AM?
1:24 PM
What is 538 minutes after 5:58 AM?
2:56 PM
What is 616 minutes after 7:20 PM?
5:36 AM
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705
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322
How many minutes are there between 5:01 PM and 2:45 AM?
584
How many minutes are there between 8:08 PM and 5:11 AM?
543
How many minutes are there between 5:57 PM and 2:41 AM?
524
What is 430 minutes before 9:34 AM?
2:24 AM
What is 197 minutes after 2:35 AM?
5:52 AM
How many minutes are there between 9:11 PM and 4:59 AM?
468
What is 543 minutes after 4:59 PM?
2:02 AM
What is 76 minutes before 3:28 AM?
2:12 AM
What is 401 minutes after 5:56 PM?
12:37 AM
How many minutes are there between 11:44 PM and 6:48 AM?
424
What is 667 minutes before 4:09 AM?
5:02 PM
How many minutes are there between 2:34 AM and 12:50 PM?
616
How many minutes are there between 1:12 PM and 10:48 PM?
576
What is 320 minutes before 12:45 P | {
"pile_set_name": "DM Mathematics"
} |
= 8*v + 105 - 133 + 180 for v.
-19
Solve -193*z = 293 + 1849 + 1718 for z.
-20
Solve 1573*w - 558 = 1591*w for w.
-31
Solve 16*f + 2160 = -128*f for f.
-15
Solve 13*a - 11*a - 29 = 31*a for a.
-1
Solve -911*t - 219 = -961*t - 1919 for t.
-34
Solve 2583 = 559*i + 11527 for i.
-16
Solve -1447*g + 54 = -1429*g for g.
3
Solve 13*j + 12 + 353 = 27 for j.
-26
Solve 1290*m = 1259*m + 372 for m.
12
Solve 420 = -4407*a + 4427*a for a.
21
Solve -53 = 27*u + 82 for u.
-5
Solve 11*p + 13 = 15 + 20 for p.
2
Solve -19*a - 43*a + 2625 = 43*a for a.
25
Solve -1220 = 39*s - 635 for s.
-15
Solve 109*o + 92*o + 55 + 749 = 0 for o.
-4
Solve 0 = -84*h - 118 - 302 for h.
-5
Solve 182*t = -1849 + 29 for t.
-10
Solve 7548*a + 20 = 7546*a for a.
-10
Solve 829 = -50*a + 279 for a.
-11
Solve 732 = 6*d + 1635 - 741 for d.
-27
Solve -2*b = -42*b + 569 - 49 for b.
13
Solve 670*h + 2453 - 695 = 377*h for h.
-6
Solve 18*k - 30*k + 36 = 6*k for k.
2
Solve 36*f - 86 = -15*f + 118 for f.
4
Solve -320*o = 521*o for o.
0
Solve -52 - 236 = 24*m for m.
-12
Solve 86*x = 206*x - 960 for x.
8
Solve -227*w + 2521 - 10012 = 0 for w.
-33
Solve -484*l - 1319 + 2795 = -2880 for l.
9
Solve -40*i + 324 = 604 for i.
-7
Solve -12*y - 101 - 7 = -0 for y.
-9
Solve r = -994 + 1003 for r.
9
Solve -1664 = 214*h - 62*h - 4096 for h.
16
Solve 70*m + 58 = 338 for m.
4
Solve -510 = 67*n - 711 for n.
3
Solve 2860 = 551*f - 7125 + 3373 for f.
12
Solve -222*j + 851*j + 728*j = -1357 for j.
-1
Solve -21*m - 226*m - 247 = 0 for m.
-1
Solve -336*b + 1458 = 365*b - 755*b for b.
-27
Solve -6*b - 58 = 23*b for b.
-2
Solve -110 - 124 = 74*w + 4*w for w.
-3
Solve -156 = 36*i + 3*i for i.
-4
Solve 19*p - 6 + 82 = 0 for p.
-4
Solve 6*i - 42*i = 18*i - 108 for i.
2
Solve -520*l - 9336 = -3616 for l.
-11
Solve u + 340 = 151 + 167 for u.
-22
Solve -7*t = 35*t - 13*t - 261 for t.
9
Solve -187*s = 184*s - 5936 for s.
16
Solve 37927 + 40550 = 404*c + 1717*c for c.
37
Solve -394*y - 462 - 5448 = 0 for y.
-15
Solve 220*w + 855 = 163*w for w.
-15
Solve 167*j + 613 = -1057 for j.
-10
Solve 43*i - 252 - 340 - 182 = 0 for i.
18
Solve 209*b - 104*b = 37*b - 1564 for b.
-23
Solve -67*a + 29*a = 532 for a.
-14
Solve 8*f + 5*f + 1792 = 125*f for f.
16
Solve -x = 68*x - 1104 for x.
16
Solve 32*t + 9*t = -707 + 10 for t.
-17
Solve 0 = -507*m + 332*m - 4725 for m.
-27
Solve 1360 = -7810*x + 7730*x for x.
-17
Solve 12*k = -40*k - 728 for k.
-14
Solve -395*k - 442 = -369*k for k.
-17
Solve -257*i = 178*i - 171*i + 1848 for i.
-7
Solve -587 = 115*t + 448 for t.
-9
Solve -1769 - 4410 = 167*v for v.
-37
Solve 22*j + 10138 = 9434 for j.
-32
Solve -28083 = 1609*g + 5706 for g.
-21
Solve -5405 + 460 = -351*z + 2777 for z.
22
Solve 0 = 17747*c - 17788*c - 1558 for c.
-38
Solve 71*p - 366 = -224 for p.
2
Solve 14*w - 9*w + 4*w = 0 for w.
0
Solve -45*s = 2791 - 3016 for s.
5
Solve 56*r = 491 - 771 for r.
-5
Solve 201*s - 665 + 803 = -2274 for s.
-12
Solve 44*s + 802*s + 2259 = 567 for s.
-2
Solve -1873 = 14*l - 1719 for l.
-11
Solve 114*m - 1887 = 21*m - 18*m for m.
17
Solve -168*f + 124 = -389 + 9 for f.
3
Solve 18*h = -21*h + 530 + 211 for h.
19
Solve -139 + 1 = -13*t - 21 for t.
9
Solve 37 = -66*f - 30 + 529 for f.
7
Solve -5698 = 51*p - 569*p for p.
11
Solve -30*a + 253 = -9*a + 379 for a.
-6
Solve 169*l - 535 = -307*l + 1369 for l.
4
Solve -16 = -54*u - 251 - 197 for u.
-8
Solve 769*z - 425 = 752*z for z.
25
Solve 90 = -200*y + 215*y for y.
6
Solve 40889 = -250*g - 188*g - 881*g for g.
-31
Solve -208*k = -658 + 1722 + 1016 for k.
-10
Solve -24*w - 48*w = -16*w - 1008 for w.
18
Solve -24*r + 726 = 15*r + 1077 for r.
-9
Solve -58 - 78 = 68*x for x.
-2
Solve -126107*g + 24 = -126104*g for g.
8
Solve 800*u = 915 + 2285 for u.
4
Solve 73*y = 942 + 104 - 170 for y.
12
Solve -167*t + 547*t = -156*t + 1608 for t.
3
Solve 0 = -166*z - 868 + 1513 + 1679 for z.
14
Solve -2006*i + 1968*i + 646 = 0 for i.
17
Solve 4969 + 3676 = 269*x + 1920 for x.
25
Solve -11 + 9 = 3*d + 16 for d.
-6
Solve -867 + 50 = 299*i - 256*i for i.
-19
Solve 917 = -2*g + 231*g - 2289 for g.
14
Solve 0 = -10*t - 19 - 33 + 2 for t.
-5
Solve -59*w - 645 + 173 = 0 for w.
-8
Solve -98 + 158 = -10*v for v.
-6
Solve -2087 = -117*u - 5714 for u.
-31
Solve 0 = -120*n + 7 - 1327 for n.
-11
Solve 0 = -1293*b - 10638 - 2292 for b.
-10
Solve 748*g - 399*g = 375*g + 494 for g.
-19
Solve -471*v = 174*v - 5160 for v.
8
Solve 116*v + 31*v - 656 = 106*v for v.
16
Solve -33*k = 107*k - 1680 for k.
12
Solve -3*x - 17*x + 90*x - 350 = 0 for x.
5
Solve 19001*w = 19036*w - 245 for w.
7
Solve 20*c - 39*c + 22 = -30*c for c.
-2
Solve 32*m - 30 - 2 = 0 for m.
1
Solve -2010 + 1060 = 9*p + 29*p for p.
-25
Solve -374 - 121 = 45*k for k.
-11
Solve 143*l + 885 + 87 = -601 for l.
-11
Solve 2973 = 286*h + 399 for h.
9
Solve -47 + 436 = 88*h - 139 for h.
6
Solve 0 = 117*l - 178*l + 610 for l.
10
Solve -120 = 42*y - 66*y for y.
5
Solve -81*t + 301 = -473 - 198 for t.
12
Solve -71*p + 25*p + 296*p = 1250 for p.
5
Solve 0 = -23*x + 9079 - 8711 for x.
16
Solve 19*t - 1649 = -1915 for t.
-14
Solve -201 - 72 = 109*a + 163 for a.
-4
Solve 360*x + 418*x + 10892 = 0 for x.
-14
Solve 71*z = 186*z - 1840 for z.
16
Solve 0 = -5*p - 16826 + 16721 for p.
-21
Solve 522 + 930 = -132*o for o.
-11
Solve 86 + 48 = -23*v - 119 for v.
-11
Solve -18347*h + 18328*h = 57 for h.
-3
Solve -686*b + 848*b = 1782 for b.
11
Solve 48*h + 305 - 107 = -18*h for h.
-3
Solve 0 = 384*p + 5401 + 2209 + 70 for p.
-20
Solve 105*o = 66*o + 78 for o.
2
Solve 550 = -50543*j + 50521*j for j.
-25
Solve 117*p = -153*p - 8370 for p.
-31
Solve -183*k - 216*k - 8240 = 13*k for k.
-20
Solve 14*x + 397 + 515 = -138*x for x.
-6
Solve 419*m + 4609 = -2095 for m.
-16
Solve -14*w - 127 = 53 - 54 for w.
-9
Solve 314 + 416 = 73*q for q.
10
Solve 10*h - 28 = 23*h + 11 for h.
-3
Solve 1300*g = 251*g + 6294 for g.
6
Solve -11*j + 30*j + 5*j = -192 for j.
-8
Solve 0 = -138*b + 814 + 428 for b.
9
Solve -19 + 446 = -61*y for y.
-7
Solve 7161*g - 7149*g + 300 = 0 for g.
-25
Solve -270*h + 346 = -201*h + 1381 for h.
-15
Solve 0*s - 64*s = 146*s for s.
0
Solve 121 - 167 = 2*c for c.
-23
Solve 22*k = 46*k + 312 for k.
-13
Solve 622 + 132 = 26*h for h.
29
Solve 20*y - 287 = 174*y + 637 for y.
-6
Solve 42*b - 696 = 51*b - 67*b for b.
12
Solve -116*x = 113*x + 72*x + 5117 for x.
-17
Solve -3*q - 385 + 373 = 0 for q.
-4
Solve -236*u = -268*u - 523 - 277 for u.
-25
Solve b + 47*b + 55 = -7*b for b.
-1
Solve 188*c = -2822 + 566 for c.
-12
Solve -612 + 552 = -20*k for k.
3
Solve 249*m + 314*m + 10007 = 1562 for m.
-15
Solve 27*c - 11313 = -11718 for c.
-15
Solve 0 = -2534*f + 2559*f - 450 for f.
18
Solve -24*z + 17 = -13 + 6 for z.
1
Solve 33*r + 34*r + 288 = 221 for r.
-1
Solve 0 = 4*d + 1763 - 1751 for d.
-3
Solve 4*x - 59 + 102 - 67 = 0 for x.
6
Solve 11*c + 6*c = 16*c + 6 for c.
6
Solve -197*i = -49*i - 272 - 172 for i.
3
Solve 290579 = -15*r + 290984 for r.
27
Solve v = -6*v + 237 - 279 for v.
-6
Solve -125*z = 100*z - 4864 + 12289 for z.
-33
Solve -2172 = -53*t - 112*t + 1293 for t.
21
Solve -52 = 212*g + 584 for g.
-3
Solve 64*c + 319 = -129 for c.
-7
Solve 27*q - 3247 = 139*q - 671 for q.
-23
Solve -1522*a + 19584 = -978*a for a.
36
Solve 93*g = -115*g + 2288 for g.
11
Solve 13*x + 37236 = 37002 for x.
-18
Solve -355 - 912 = -315*h - 8197 for h.
-22
Solve 37*b + 34*b = 355 for b.
5
Solve -771*a - 23298 - 5229 = 0 for a.
-37
Solve 3674*x - 3728*x = -1404 for x.
26
Solve 47*c - 25*c = 9*c - 65 for c.
-5
Solve 0 = -20*p + 72 - 372 for p.
-15
Solve -12*p - 122*p - 536 = 0 for p.
-4
Solve 18*i - 8775 + 9027 = 0 for i.
-14
Solve -49*h + 19*h - 819 = -69*h for h.
21
Solve 143*l - 108*l + 26 + 44 = 0 for l.
-2
Solve -418*q = 60*q + 5736 for q.
-12
Solve 239*z = -2096 - 533 for z.
-11
Solve -16*z + 77*z = 41*z - 220 for z.
-11
Solve -47962*t = -48001*t - 468 for t.
-12
Solve 0 = 183*q + 287 - 2487 - 728 for q.
16
Solve -19687 = 475*k - 5437 for k.
-30
Solve 98*n - 149*n = -204 for n.
4
Solve -4622*n - 117 = -4613*n for n.
-13
Solve 0 = 5*d + 94*d - 8*d - 273 for d.
3
Solve 92 = -158*t + 16*t - 476 for t.
-4
Solve 6146*q = 6143*q + 3 for q.
1
Solve 1545 - 1220 = -17*p + 4*p for p.
-25
Solve 33*g + 157 = 553 for g.
12
Solve 58*r = -396*r - 10592 + 1966 for r.
-19
Solve 9*i - 85*i | {
"pile_set_name": "DM Mathematics"
} |
55 = -25*u - 49 for u.
-5
Solve -155941*u = -155943*u - 16, 0*l - 3*u = 3*l + 21 for l.
1
Solve -9*s - 10*s + 14*s = 2*v + 3*v + 40, -12*v - 62 = -5*s for s.
-2
Solve 4*k + 4*h = 20, -15413*h + 22 = 2*k - 15415*h for k.
8
Solve 5*i = -150, -41*i - 450 = 4*p + 37*i + 34*i - 97*i for p.
0
Solve 10*j = -30, -25664*j = 3*l - 25666*j - 42 for l.
12
Solve 102*q - 45 = 3*r + 111*q, -3*r + 5*q = 3 for r.
-6
Solve 4*r - 116 = -x - 127, 0 = -2*x + 4*r - 7*r - 2 for x.
5
Solve -3*m - 2*a + 16 - 59 = 0, 70 = -5*m - 3*a for m.
-11
Solve 0 = -12*r + 5*g + 231, 0 = 2*r + 278*g - 281*g - 45 for r.
18
Solve 15 - 61 = 9*o - 2*s, -4*o = 3*o - 0*s + 5*s + 3 for o.
-4
Solve 4*h + 145 = -3*m + 110, 0 = -10*h + 4*m + 108 for h.
4
Solve -n - 5*u = -2, 20505*n - 20504*n + 8 = 3*u + 2 for n.
-3
Solve 0*k - 3 = -3*c - 3*k, -387*c = -351*c + 4*k + 220 for c.
-7
Solve 3775*h = 9*w + 3772*h + 33, -4*h + 4 = -4*w for w.
-5
Solve -5*m + 16 = 5*d + 2*d, -2*d + 5 = m for m.
-1
Solve 3*c - 38 = 22*r + 24, -6*r + 7*r + 14 = 6*c - 4*c for r.
-2
Solve -n = -6*n + 5*y - 65, 5*y + 35 = 64 + 21 for n.
-3
Solve 4*w - 15 = 9*w, j + 2230*w = -0*j + 2226*w - 6 for j.
6
Solve 4*t + 104*m - 52 = 108*m, -30*m = -31*m - 1 for t.
12
Solve 0 = -9*d - 3*t + 174, 2*d + 253 = 2*t + 305 for d.
21
Solve -70881*f = -70885*f + q - 12, q + 20 = -4*f for f.
-4
Solve -5*j - 35 = 187332*o - 187333*o, -5*j + 3*j - 9*o + 550 = 0 for j.
5
Solve 2*g + 1231*u - 102 = 4*g + 1236*u, -u - 44 = u for g.
4
Solve -1111*b + 463*b = -5*l - 647*b - 5, 5*l + 2*b - 40 = 0 for l.
2
Solve -2*c = -4*y + 4, -3749*c = -17*y - 3745*c - 1 for y.
-1
Solve -4*k = -h + 43, 0 = 8694*h - 8688*h - 16*k - 170 for h.
-1
Solve -2*b = 4*z - 4*z + 4, -58*z + 87 = -53*z + 4*b + 85 for z.
2
Solve 8*k = 4*o - 236, 3*k + 764 = -2*o + 658 for k.
-32
Solve 4*x + 17 = 2236*q - 2239*q, 3*q + 7 = -7*x - 16 for q.
-3
Solve -3818*j - 17 = -3815*j - 3*z + 10, -3*z + 25 = -4*j for j.
2
Solve 5*p + 7*p = 3*a - 111, p - 432 + 871 = 431 for a.
5
Solve -4*i + 3886 - 3902 = -2*i + f, 176 = -26*i - 5*f for i.
-6
Solve -5*n + 5*n - 2 = -3*y + n, 4*n - 87 = 7*y - 85 for y.
2
Solve 76*a + 82*a = -g + 154*a + 81, 7*a = -3*g + 148 for g.
5
Solve -2*g - 4 = 0, g - 4*g - 3 - 3 = m - 0 for m.
0
Solve 2*c = 4*t - 46, -48*c - 972 = 26*c - 2*t - 0*t for c.
-13
Solve -4*l + 116 = s, 3*l - 51 - 7 = 75*s + l for s.
0
Solve c + 2*c = 12*z + 5*c + 56, -8*c - 2 = 4*z + c for z.
-5
Solve 5*r - 4*b - 4 = -b, -29*b + 27*b + 19 = r for r.
5
Solve -5*y + 6*d - 2 - 7 = 0, -196*y + 410*y - 3*d = 218*y + 15 for y.
-3
Solve -4*w + 17*o - 7*o - 6552 = -6688, 3*w = -o + 119 for w.
39
Solve -19 = -3*t + 4*o, 44*t + 39*t - 10*o = 81*t + 42 for t.
1
Solve 0 = r + k + 6, -3*r + 471 = -23*k + 437 for r.
-4
Solve 5*v = -2 - 8, 9*k - 19*k + 140*k + 136 = -3*v for k.
-1
Solve 8*r - 6 = -2*l, -2*r = -10755*l + 10756*l + 5 for l.
-13
Solve -3*q + 21 = 3*r, 15*q + 413197*r + 9 = 413201*r for q.
1
Solve 0 = 17226*v - 17217*v + 5*f - 255, 0 = 3*v + f - 87 for v.
30
Solve -3*c + 33*g = -5*c + 38*g + 39, -21 = -2*c - g for c.
12
Solve -5*w = 28*a + 1415, 0 = 56*w - 58*w - 6 for a.
-50
Solve 0 = -2*w + d - 4, -2*w - 3*d - 373 + 727 = 342 for w.
0
Solve 6*d - 717293*z - 54 = -717291*z, 5*z - 4*z = -d + 9 for d.
9
Solve 0 = -2*y - 5*a - 64, -965*y + 3*a + 45 = -964*y for y.
3
Solve 5*d - 879 = 53*k - 24*k, 3*k + 89 = d for k.
-31
Solve w + 3*t - 9 = 2*w, 10 = -3*w - 4*t + 32 + 3 for w.
3
Solve 1037*w - 1032*w = -15, -5*b + 7 = w for b.
2
Solve -v - 53 = 3*l, -5*l + 2*l - 230 = 4*v for l.
2
Solve -v - 29*w - 6*w - 5 = 0, 6*w + 25 = -5*v + 13*w - 2*w for v.
-5
Solve -340*a - 337*a - 188 = -699*a + 4*u, -3*u + 26 = 4*a - u for a.
8
Solve -k = -t + 5 + 7, 55*k + 2*t - 4*t + 448 = 0 for k.
-8
Solve 1 = b - 8*z, 55 = 3*b + 487*z - 485*z for b.
17
Solve -2*d + q + 51 = 0, 15*d - 415 = -24*d - d + 5*q + 530 for d.
23
Solve 8*q + 2*t = -56, -2*q - 5*t = 26 - 17 + 185 for q.
3
Solve -4335*b + 4338*b - 70 = -5*t, -b + 3*t + 28 = 0 for b.
25
Solve -3*s = s - 3801 + 3793, 2*s = -2*x - 16 for x.
-10
Solve 3*i + 2*t = -54, 492*t - 2 = i + 245*t + 253*t for i.
-20
Solve -d + 4*d = 8 + 1, 4*x + 36*d - 41*d - 9 = 0 for x.
6
Solve -29*c = -2*s + 124, 0 = -5*s - 4*c + 89 - 88 + 3 for s.
4
Solve -160*s + 66 = -157*s - 3*i, -3*i - 18 = -s for s.
24
Solve 4*f + 2*w - 12 = 0, w = 34*f - 24*f - 0*w - 18 for f.
2
Solve 29*i - 93 = 7*z - 4*z, 0*z + 1 = -z + 11*z - 6*z + 3*i for z.
-2
Solve -11*w - 3*p - 30 - 7 = 0, -w = 968*p - 963*p - 25 for w.
-5
Solve -115 = 3*t - 69 - 67, -21 = c - 3*t for c.
0
Solve 2*t - 4*q + 2352 = 2364, -4*q = -t - 2 + 4 for t.
10
Solve 3*h - 6*g = 7*g + 183, -3*h = -4*g - 48 for h.
-4
Solve 3*l + 3 = -36*w + 21*w, -2*w - 3*w - 25 = -5*l for l.
4
Solve -l - 7*d + 342 = 382, -2*l - 3*d - 47 = 0 for l.
-19
Solve 0 = -5*c - x - 27, -4462927*c - x - 60 = -4462911*c for c.
-3
Solve 79*a + 5*c = 1284, -5*c - 10 + 78 = 3*a for a.
16
Solve y + 130 = -3*h, -5709734*y - 3*h = -5709732*y + 125 for y.
5
Solve c + 91 = 43 + 52, -d - c = 0 for d.
-4
Solve a - 60*u + 62*u + 42 = 0, 2*u + 23 = a - 23 for a.
2
Solve 189*s + 2*c + 48 = 190*s, -4*s + 171 = 13*c for s.
46
Solve -5*t = 248*d - 247*d - 125, d = -3*t + 77 for t.
24
Solve 0 = 2*g - 3*z - 3, -398*z + 401*z + 2 - 1 = 4*g + 4 for g.
-3
Solve -5*n + 353*w = 354*w - 9, -44*n - 5*w + 64 = 0 for n.
1
Solve -48*k + 93*k = -176*u + 44*k + 5987, 2*u = -2*k + 74 for u.
34
Solve -m - 996*f - 10 = -1001*f, 5*m - 3*f = 12*m - 120 for m.
15
Solve 18*j = b + 434, -35*j = -3*b - 40*j + 114 for b.
-2
Solve -y - 12 = -4*s - 0*y, -12*y - 1 + 49 = -2*s - 38 for s.
5
Solve -z - 680 + 142 = 23*a - 259, 5*z = -8*a - 111 for z.
-3
Solve -6*h = -h - 4*h - 309*m + 8348, 70 + 16 = -h + 3*m for h.
-5
Solve -5*b - 4*d = 74, -40 + 126 = -4*b - 6*d - 18 for b.
-2
Solve -4*h - 16 = -4*i, -9709*h + 9737*h + 228 = -i for h.
-8
Solve -95 = -4*r - 7*a, -6*r + 43*a - 65 = -r + 15*a for r.
15
Solve -206*h + 207*h - 10 = 5*s, 3*s = -4*h + 86 for s.
2
Solve -29 = 4*w - 5*f, -52019909*w + 52019904*w - 20 = -3*f for w.
-1
Solve -195*i + 184*i + 2*x = -87, 52 = i - 9*x for i.
7
Solve -4*t - 2*i = 0, -t + 619*i = -623*i + 1247*i + 18 for t.
2
Solve 3*h + 2*m - 569 = -558, 11 + 20 = -3*h + 4*m for h.
-1
Solve -9875*o + 9872*o = 6*k - 3, 4*o - 3 = k + 10 for k.
-1
Solve f - 10 = 5*p, 442*p + 2*f - 7 = 444*p - 3 for p.
-2
Solve -60 = 4*j - 44*k + 49*k, 3*j = k + 11 + 1 for j.
0
Solve -2*w - 3*x = -4*w - 0*x - 908 + 892, 3*w + 103*x - 836 = 0 for w.
4
Solve 0 = -4*c - 2*f + 40, 4*c - 8*f - 3 - 33 + 16 = 0 for c.
9
Solve -3*r - 3 = -b, -4*b + 31*r - 49 = -8*b - 30 + 122 for b.
12
Solve -22516*g = -22519*g + 15, -3*g = 2*w + 3*w - 75 for w.
12
Solve -3*q - 144 = -3*z, 2*q + 14*z + z + 241 = 1029 for q.
4
Solve 0*t - t - 2*a + 25602 = 25640, -9*t + 19 = -a for t.
0
Solve 1201*g = 1200*g, 108*o + 3*g = -7560 for o.
-70
Solve 2*m = -10, -3*v = -2*m - 106 + 39 - 33 for v.
30
Solve 9*m - 4*n = 4*m + 13, -2*m + 2564 = 15*n + 2509 for m.
5
Solve 5*x - 12 = m, 0 = -8*m - 23548*x + 23549*x + 60 for m.
8
Solve 23 = -n + 5*n + 5*u, u - 2*u = -n - 1 for n.
2
Solve -5*w = -20, -b - 134*w + 131*w = -43 for b.
31
Solve 175*g + 4 = q + 171*g, 8 = 2*q + g - 5*g for q.
4
Solve -2*k - 36 = 2*p, 5*k - 14602 + 14635 = -2*p for k.
1
Solve -5235 + 10406 = -16*a - 4*u + 5199, -2*a + u + 3*u - 10 = 0 for a.
1
Solve 0 = -4*i + 104 - 24, -2*l = -35*i + 510 + 192 for l.
-1
Solve -13*g - 10 = 2*w - 8*g + 4 - 3, -132 = -16*w + 4*g for w.
7
Solve -10*t + 78 = 4*y, 124*t - 125*t + 69 = 4*y for y.
17
Solve -3*f - 5*m = -3*m - 33, -2*m - 3*m - 6 = -2*f - 3 for f.
9
Solve -3*m - 102 = -5*x, -m - 7371*x = -7373*x + 33 for m.
-39
Solve 3282*s - 268 = 5*o + 3270*s, -s + 20 = -o for o.
4
Solve -3*z = -193*q - 678 + 666, -3*z = 4*q - 0*q - 12 for z.
4
Solve -7*g + 5*c - 83 = -51*g + 5*g, -4*g + 14 = 2*c + 4 for g.
2
Solve 5*t + 2*x + 70 = 7*x, 5*t = -3*x - 56 + 51 - 41 for t.
-11
Solve -17*o - 29735*u + 106 = -29737*u, 0 = 2*o + 2*u - 8 for o.
6
Solve -6*g + 6*m = 5*m - 146, 0 = 3*m + 146474 - 146486 for g.
25
Solve 3*z = -3*x - 21, -14965*x + 14961*x - 36 = -4*z for z.
1
Solve f = 40*z - 47*z + 2*f + 25 + 28, 25 = 2*z + 3*f for z.
8
Solve -3*b = 3*y - 42, -1439*b = y - 1447*b + 22 for y.
10
Solve 17*l - 45*u - 44*u = 35*u - 121*u + 35, -4*u = | {
"pile_set_name": "DM Mathematics"
} |
). Let q = t - 74. Which is greater: -106 or q?
q
Suppose 0 = -w - 4*w. Suppose -4*i + 2*i - 2 = w. Let l = 5367 - 5368. Does l = i?
True
Let l be 2 + (4 + -2)/(-1). Suppose 5*r + 45 = -l*r. Suppose 2*k + 16 = -4*a - 2*k, 3*k = -2*a - 3. Is r less than a?
False
Let k(g) = -3*g**3 + 5*g**3 - g**3 - 135 - 14*g**2 + 0*g**2 - 41*g - 7*g**2. Let z be k(23). Which is smaller: -18 or z?
z
Let b = -12.919 + 0.119. Let c = -3.415 + 3.615. Which is smaller: b or c?
b
Let c = 87388199/25277538 - -95/29461. Let m = -75/22 + c. Let d be 3/6*0/3. Which is smaller: m or d?
d
Let j be -1 + 22/3 + 13/(-39). Let x be -4*3/(-30)*(-5)/j. Let g = -7 + 11. Which is smaller: x or g?
x
Let u be (-62)/155*105 + 44. Let p(o) be the second derivative of o**4/12 + o**3/6 - 3*o**2/2 + o. Let k be p(-3). Is k smaller than u?
False
Let s be 1722/(-11) - (-273 + 252). Which is bigger: -135 or s?
-135
Let j be 4*((-5)/10 - -1) + (0 - 2). Are 2/153 and j nonequal?
True
Let q = 7409 + -7408.781. Let k = -1.96 + -0.04. Which is smaller: k or q?
k
Let n = -62 - -64. Suppose 2*i - 8 = 0, 2*i + 0*i = n*d. Suppose 0*a - 2*a - 2*o = -2, 3*a = -d*o - 1. Is a at most as big as 5?
True
Let g(o) = 72*o**2 + 3*o - 13. Let u be g(2). Are 291 and u unequal?
True
Suppose 71778 = -113*z - 10147. Which is bigger: -717 or z?
-717
Let t be 2443/(-14) + 29 + -12 + -33. Suppose -3*j = 473 + 97. Which is bigger: j or t?
j
Let c be (-66)/(-55) + 6/(-30) + (-1341)/1346. Are c and 0 nonequal?
True
Let u = 132 - 99. Suppose 43*p - 270 = u*p. Suppose -4*g = -5*b - p, 7*g - 3*b = 5*g + 15. Is g at most 6?
True
Suppose 36256 = 127*s - 159*s. Which is greater: -5658/5 or s?
-5658/5
Let n be (23 + -33)/(-4*(-1)/(-70)). Let w be (-3)/(42/n)*(1 + -11). Is -2/5 smaller than w?
True
Let l = 513 + -320. Let b = l + -210. Let i be 2/(-15) - (-20)/25. Is i less than b?
False
Let q be (-10 + 6)*10/130. Suppose 0*o = -2*o - 3*f - 6, 2*f + 4 = 2*o. Suppose i - 2*a - 10 = 0, -4*i = -5*a - o*a - 25. Is q less than i?
True
Let j be (-15)/5 + 12 + -5 + -4. Which is smaller: j or -15/34?
-15/34
Suppose h + 2 + 0 = -b, 2*h + b + 1 = 0. Let x = 60453/7 + -8629. Is h bigger than x?
False
Suppose 22*q + 784 = 29*q. Let u = q + -110. Suppose -y = u*y - x + 5, x + 1 = 0. Which is bigger: y or -5/2?
y
Suppose 0 = 13*q - 47 - 304. Suppose 44*w - q*w = 0. Is 245 at least w?
True
Let f = 32 - 11. Let c(z) = z**2 - 23*z + 19. Let g be c(f). Let d = g + 20. Which is smaller: -7/2 or d?
-7/2
Let u be 35*(-12)/60 + 164004/23428. Is -1 smaller than u?
True
Let j = -6113.2 + 5453. Let g = 665 + j. Is g less than -0.2?
False
Let p = 1761 - 1796. Is 32 bigger than p?
True
Let a = -22.64 - 0.36. Let v = 174/85 + -45/17. Is a at most v?
True
Let w(x) = 8*x**3 + 3*x**2 + x. Let a = -85 + 84. Let y be w(a). Let v be ((-12)/7)/y + 107/(-7). Which is greater: v or -8?
-8
Let g = 69 - 64. Let h be ((-1068)/(-68))/3 - g. Is 2 < h?
False
Let b be ((-4)/(-6))/(38/(-513)). Let c(x) = x**3 + 10*x**2 + 7*x - 19. Let j be c(b). Which is smaller: j or 3/13?
j
Let m(c) = c**2 + 2*c. Let d be m(-2). Let g(t) = -t**3 - 7*t**2 - 11*t - 4. Let a be g(-2). Let h be (a - d)*2/12. Does -2 = h?
False
Let s be (-3)/(-11) + (-13770)/25806. Which is greater: s or -0.007?
-0.007
Let c = 146 + -123. Suppose -15*t = -c*t + 40. Suppose -t*d + h = 10, -4*d + 3 = -3*h - 0. Which is bigger: d or -24?
d
Suppose -2*s = b - 0*b - 60, 2*b + 141 = 5*s. Suppose -10 = 5*z - 5. Let c be (s/32 + z)/((-5)/(-60)). Which is smaller: c or -1?
c
Let j be (93/(-27) + 3)/(204/(-54)). Which is smaller: 14.9 or j?
j
Let k(w) = -59*w**2 + 14*w + 2. Let x be k(-1). Is -69 equal to x?
False
Suppose -2*y = 1 + 9. Let p be (-1)/((-3 - y)*7). Suppose 4*w = -2*m + 12, 5*w - 11 = 9. Is m > p?
False
Suppose 14 = a + 2. Suppose -a = -3*p - 285. Let q = -52 - p. Is q at most 40?
True
Let u(c) = -11*c + 29. Let j(b) = 5*b - 14. Let s(o) = 13*j(o) + 6*u(o). Let x be s(-7). Let k = 7338/41 - 179. Is x < k?
True
Let a = -197 - -198.45. Let g = a + -1.45. Let v = -9.951 + 10. Is g equal to v?
False
Let i be ((-589)/(-593) + -1)*((-774)/(-43))/108. Which is greater: 1 or i?
1
Suppose 2*j + 6*c - 7*c - 37 = 0, 3*c + 60 = 3*j. Suppose -11*p = -j*p + 330. Do p and 1 have the same value?
False
Suppose 5*s - 4 = 21. Suppose -s*u + 4*u = -192. Let g = -2689/14 + u. Which is greater: g or -1?
g
Suppose -51 = 9*v + 8*v - 68. Is v >= -6841?
True
Let r = 308911/3 - 100298. Let c = -2697 + r. Do -26 and c have the same value?
False
Let m(c) be the second derivative of 5*c**4/24 - 14*c**3 - 45*c**2/2 - 5*c. Let u(z) be the first derivative of m(z). Let t be u(16). Are -4 and t equal?
True
Let g = -7.285 - -7.185. Is g greater than 1.2632?
False
Let v be ((-6)/(-9))/(-2) - (-2145)/9. Let j = v + -175. Is 62 at least j?
False
Let c(v) = -v**2 - 61*v - 798. Let u be c(-19). Which is greater: 46/45 or u?
46/45
Let t be 13/26*(-13)/(-2). Let m = 29 - 27. Let y be 3*((3 - 4) + m). Which is greater: y or t?
t
Let w = -151375 - -151374.9. Let l be 1/4*306/6. Let h = l + -13. Is w greater than h?
True
Let i(f) = f**3 - 20*f**2 + 20*f + 29. Let u be i(19). Let w be (u/(-60))/((-24)/(-5) + 2). Is w > 0?
False
Let n be 4/6 + 1 + (17808/(-36) - -5). Which is greater: -485 or n?
-485
Let b = -0.13569 + 0.16569. Suppose 0 = 4*s + 5*r + 1 - 7, -2*r = -4. Does b = s?
False
Suppose 6*s = 8*s - 4*m - 26, 31 = 3*s - 4*m. Suppose p = s*y - 35, -32 = 3*p - y + 3. Which is smaller: p or -13?
-13
Let n = -25451 - -20992. Do n and -4461 have different values?
True
Let n(s) = -5*s + 2*s + 0*s + 39. Let c be n(13). Is -9 at least c?
False
Let r be (-25)/(21/(7 + 35)). Is -10 <= r?
False
Let y = 32 + -137. Let x be 6/66 - y/(-308). Let k = -15 - -12. Which is smaller: k or x?
k
Let s(k) = k - 23. Let q be s(-28). Let r = 52 + q. Suppose -r = -u - 4. Are -2 and u nonequal?
True
Suppose 9 = 649*g - 644*g + 2*v, -g - 2*v = -13. Which is greater: -15/278 or g?
-15/278
Suppose 3*v = 4*p - 72, 3*v - 78 = -4*p - 6. Suppose -5*l = -h - 22, h = -0*h + l - p. Suppose -3*j - c + 7 = c, 6 = 3*c. Is j equal to h?
False
Suppose 4*x = -0*x + 20. Let h be -3*434/28*(-4)/33. Do x and h have different values?
True
Let n be 20304/(-90)*10/(-3). Let u = n - 742. Which is greater: 8 or u?
u
Suppose y = -28*y - 138 + 15218. Which is greater: y or -12?
y
Suppose -3*n = 2*t + 2*n + 5262, -4*n + 7916 = -3*t. Let g = t - -176609/67. Suppose -2*f + 5 = u, -4*f - u + 12 = 5. Which is bigger: f or g?
f
Let a = -85/16 + 1481/80. Is 14 bigger than a?
True
Let t = 204 + -25. Let i = 185 - t. Is 5 >= i?
False
Let u = 342 - 342. Let f = 47 + -47.11. Are u and f non-equal?
True
Let l(r) = -16*r - 278. Suppose 14 = -k + w, -w - 34 = 3*k - k. Let x be l(k). Are x and -28 non-equal?
True
Suppose 4*x + 0*x + 74 = 5*t, 4*t + 5*x - 92 = 0. Let s be (-12)/t + (-149)/(-3). Let l(p) = -16*p + 1. Let q be l(-3). Do s and q have different values?
False
Let g = -32088 - -32087.9. Let n = 2 - 2.2. Let d = n + 0.1. Is g at most as big as d?
True
Let y = 29366 + -29360. Let i be (-6)/(-30) + (-134)/(-80). Is i > y?
False
Let j be (-2)/(4/(-5)) - 564/(-2160)*-9. Which is smaller: -80 or j?
-80
Let r = -1146 - -1146.07. Let z(i) = i**2 - 7*i - 3. Let b be z(8). Suppose 6*s - s = b. Which is smaller: s or r?
r
Let d = 14/341 - 185/4774. Is -2/7 greater than or equal to d?
False
Let k = -11 - -11. Let o = 37 - 4. Suppose 5*t = -o + 103. Is k > t?
False
Let c be (38/(-2) - -1)*3/(-6). Let j be (-12)/c - (-91)/69. Let z be 1/(-4) + (-30)/40. Which is smaller: j or z?
z
Let h be ((0 - 1)*-2)/((-16)/264). Let g(p) = -3*p**2 - 5. Let b be g(3). Is b not equal to h?
True
Let q = -1330.7 - -1394. Let u = 71.28 - q. Let m = -0.02 - u. Are 0.1 and m non-equal?
True
Let z be (3 + -2)/(-2 - -1). Let q = -2025 + 257173/127. Which is smaller: q or z?
z
Let p be 3 + -1 - 16*9/18. Let c be ((-780)/114 - -1) + (-3 - p). Is c greater than or equal to -0.1?
False
Let u be -3*(1 - 1 - (-208)/24). Let f be u/(-6) - 10/(-15). Suppose o + 4 = f. Which is bigger: -1/17 or o?
o
Let r be 4701/(-33005) - (-1)/(-7)*-1. Let c = -42539/245180 + r. Which is greater: -1 or c?
c
Let m be 6/39 - (-172808)/936. Let g = -185 + m. Which is bigger: -0.1 or g?
-0.1
Suppose -42*m = -39*m + 3*p + 570, 4*p - 591 = 3*m. Let q = -45 + 4 | {
"pile_set_name": "DM Mathematics"
} |
0
What is prob of sequence gjj when three letters picked without replacement from {p: 2, j: 2, g: 2, m: 1, n: 1, o: 1}?
1/126
Three letters picked without replacement from {a: 5, u: 11}. What is prob of sequence aua?
11/168
Calculate prob of sequence pq when two letters picked without replacement from peprpqpwpppwepei.
1/30
Three letters picked without replacement from osowf. Give prob of sequence wos.
1/30
Four letters picked without replacement from {o: 1, r: 3, z: 1, p: 4, d: 2, e: 4}. Give prob of sequence poer.
2/1365
Calculate prob of sequence uv when two letters picked without replacement from ubv.
1/6
Two letters picked without replacement from {n: 6, u: 7}. What is prob of sequence uu?
7/26
What is prob of sequence fff when three letters picked without replacement from zofofozooozzzzlfolz?
1/969
Two letters picked without replacement from {q: 3, v: 1, o: 7, j: 3, z: 3, k: 3}. What is prob of sequence jo?
21/380
Four letters picked without replacement from ssmnssassssp. What is prob of sequence smps?
7/1485
Four letters picked without replacement from {d: 3, n: 1}. Give prob of sequence ddnd.
1/4
Calculate prob of sequence qqq when three letters picked without replacement from zqqzzqzz.
1/56
Four letters picked without replacement from {g: 1, u: 2, w: 4, y: 2, f: 4, m: 2}. Give prob of sequence gmuf.
2/4095
Two letters picked without replacement from bllbnllnlllkblltthn. Give prob of sequence hb.
1/114
What is prob of sequence xr when two letters picked without replacement from {x: 1, i: 7, r: 4, e: 2}?
2/91
Two letters picked without replacement from gjjc. What is prob of sequence cg?
1/12
What is prob of sequence yyzy when four letters picked without replacement from yyyyyyyyyyyyyyyyzyyy?
1/20
What is prob of sequence cww when three letters picked without replacement from rwwwycrgcwwygyc?
2/91
What is prob of sequence al when two letters picked without replacement from {l: 3, h: 3, a: 1}?
1/14
What is prob of sequence ehz when three letters picked without replacement from {y: 2, p: 1, z: 2, h: 1, e: 1}?
1/105
Three letters picked without replacement from fkfffkfffkikf. What is prob of sequence ikk?
1/143
Four letters picked without replacement from {x: 1, l: 1, w: 1, t: 6, i: 3}. Give prob of sequence ttlt.
1/99
Two letters picked without replacement from {e: 2, j: 8, f: 3, r: 4}. Give prob of sequence je.
1/17
Three letters picked without replacement from {m: 3, r: 3, v: 4, c: 1, f: 1, j: 6}. Give prob of sequence vmj.
1/68
What is prob of sequence ld when two letters picked without replacement from fnfdfllfln?
1/30
Calculate prob of sequence toto when four letters picked without replacement from ooototooootooo.
5/182
What is prob of sequence ph when two letters picked without replacement from {p: 1, h: 19}?
1/20
Calculate prob of sequence hn when two letters picked without replacement from {f: 3, z: 1, h: 1, n: 2}.
1/21
Two letters picked without replacement from {w: 11, n: 7, r: 2}. What is prob of sequence nw?
77/380
Three letters picked without replacement from {a: 2, k: 1, p: 2, i: 1, v: 1, q: 1}. What is prob of sequence pvi?
1/168
Four letters picked without replacement from {l: 2, u: 5}. What is prob of sequence uuul?
1/7
Four letters picked without replacement from qnhlchqslhchsc. Give prob of sequence hshs.
1/1001
Four letters picked without replacement from {i: 3, w: 3, j: 1, x: 3, g: 1, y: 2}. What is prob of sequence xyji?
3/2860
Four letters picked without replacement from {r: 1, n: 4, o: 6, m: 6}. Give prob of sequence mnnm.
3/476
Calculate prob of sequence vgd when three letters picked without replacement from wevvldg.
1/105
What is prob of sequence utk when three letters picked without replacement from hctkhkkktuh?
4/495
Calculate prob of sequence aaa when three letters picked without replacement from aaaa.
1
Four letters picked without replacement from kkxnxn. Give prob of sequence xkkx.
1/90
Three letters picked without replacement from {u: 10, w: 5, l: 4}. What is prob of sequence uuw?
25/323
Four letters picked without replacement from {c: 1, e: 2, z: 2, k: 1}. What is prob of sequence zkce?
1/90
Four letters picked without replacement from {s: 4, e: 2, j: 2}. Give prob of sequence jses.
1/35
Four letters picked without replacement from {x: 7, r: 3, j: 2}. What is prob of sequence jjrx?
7/1980
Four letters picked without replacement from {o: 1, x: 2, v: 1, a: 1, h: 1, f: 2}. What is prob of sequence fxxh?
1/420
Two letters picked without replacement from sls. What is prob of sequence sl?
1/3
Three letters picked without replacement from zawzw. Give prob of sequence wza.
1/15
Two letters picked without replacement from bkebbekbebkbk. What is prob of sequence bb?
5/26
Four letters picked without replacement from {y: 3, b: 4, g: 1, m: 2}. Give prob of sequence byym.
1/105
Two letters picked without replacement from aakkkqa. What is prob of sequence ka?
3/14
What is prob of sequence yiyi when four letters picked without replacement from {y: 9, p: 8, i: 2}?
1/646
Calculate prob of sequence xo when two letters picked without replacement from oxxowoooonnxn.
3/26
Four letters picked without replacement from ajjjaraajjrajj. Give prob of sequence jaar.
5/429
Two letters picked without replacement from {g: 3, n: 3}. What is prob of sequence gg?
1/5
Three letters picked without replacement from rijjbjb. Give prob of sequence ibr.
1/105
Four letters picked without replacement from fcwf. Give prob of sequence wffw.
0
Four letters picked without replacement from dacgg. What is prob of sequence cgda?
1/60
Three letters picked without replacement from ggfggfgggg. Give prob of sequence ffg.
1/45
Calculate prob of sequence cj when two letters picked without replacement from cddjnjjjqxcc.
1/11
Calculate prob of sequence wu when two letters picked without replacement from {w: 1, k: 2, n: 2, j: 1, y: 1, u: 2}.
1/36
Two letters picked without replacement from uusufuuuusuuuuus. What is prob of sequence fu?
1/20
Calculate prob of sequence sns when three letters picked without replacement from ssssnsssssnnss.
55/364
Calculate prob of sequence azaa when four letters picked without replacement from azaaaaaa.
1/8
Two letters picked without replacement from {i: 4, m: 6, c: 3, x: 1, b: 1, h: 1}. What is prob of sequence bm?
1/40
Two letters picked without replacement from {p: 5, b: 3}. What is prob of sequence bp?
15/56
Two letters picked without replacement from {n: 7}. What is prob of sequence nn?
1
Three letters picked without replacement from {f: 7, r: 7}. Give prob of sequence frf.
7/52
Calculate prob of sequence jbn when three letters picked without replacement from crrnbcnnjjbrrjrr.
3/560
Calculate prob of sequence jk when two letters picked without replacement from {j: 1, b: 2, k: 4, q: 3}.
2/45
Calculate prob of sequence ssz when three letters picked without replacement from {z: 2, s: 6}.
5/28
What is prob of sequence nf when two letters picked without replacement from {n: 3, f: 5, b: 5}?
5/52
What is prob of sequence ss when two letters picked without replacement from wjssswjsmwwsijsms?
21/136
What is prob of sequence ee when two letters picked without replacement from {e: 2, a: 2}?
1/6
Two letters picked without replacement from {l: 3, w: 2, d: 2, c: 1, j: 1, o: 6}. Give prob of sequence cw.
1/105
Three letters picked without replacement from hxdgocc. What is prob of sequence gxo?
1/210
What is prob of sequence in when two letters picked without replacement from {n: 7, g: 1, i: 2}?
7/45
Two letters picked without replacement from llhehhhhnfljn. What is prob of sequence jf?
1/156
Calculate prob of sequence ggg when three letters picked without replacement from {g: 7}.
1
Two letters picked without replacement from xdxfuxxvd. What is prob of sequence fu?
1/72
Three letters picked without replacement from eepppneepjpe. Give prob of sequence pje.
5/264
Two letters picked without replacement from vvqvvkvxvivivvvigvi. Give prob of sequence gx.
1/342
What is prob of sequence cg when two letters picked without replacement from cgcccggccggcc?
10/39
Four letters picked without replacement from {c: 2, x: 7, p: 2, n: 2, m: 7}. Give prob of sequence xxnp.
7/4845
Three letters picked without replacement from nddn. Give prob of sequence ddn.
| {
"pile_set_name": "DM Mathematics"
} |
nd 22?
2
Calculate the greatest common factor of 1970 and 15628010.
1970
What is the greatest common factor of 405837 and 27?
27
Calculate the highest common divisor of 16768 and 6784.
128
Calculate the highest common factor of 35 and 1915.
5
Calculate the highest common factor of 6825 and 46917.
39
Calculate the greatest common factor of 50353 and 3483.
43
Calculate the highest common factor of 1029948 and 12.
12
Calculate the greatest common factor of 24 and 893652.
12
Calculate the greatest common divisor of 554598 and 126.
18
What is the highest common factor of 2024802 and 5304?
1326
What is the highest common divisor of 4493450 and 100?
50
Calculate the highest common factor of 26277 and 209.
19
What is the highest common factor of 341386 and 131?
131
Calculate the greatest common factor of 3864 and 1722.
42
Calculate the greatest common factor of 352275 and 1342.
671
Calculate the highest common factor of 57792 and 14.
14
What is the highest common factor of 118849 and 14383?
757
What is the greatest common divisor of 24909 and 304?
19
What is the highest common factor of 455 and 910091?
91
What is the highest common divisor of 294 and 731346?
42
Calculate the highest common factor of 2627129 and 1173.
391
What is the highest common factor of 4002 and 2378?
58
What is the highest common divisor of 6432 and 9916?
268
Calculate the highest common divisor of 588 and 1056.
12
What is the greatest common factor of 13614 and 84?
6
What is the greatest common factor of 19184 and 110?
22
What is the highest common divisor of 310202 and 258?
86
Calculate the greatest common divisor of 2451 and 202143.
129
Calculate the greatest common divisor of 3520 and 69344.
352
What is the highest common factor of 67989 and 21222?
393
What is the greatest common divisor of 87006 and 306?
102
Calculate the greatest common divisor of 67251 and 174.
87
What is the highest common divisor of 102108 and 1143?
381
What is the greatest common factor of 61791 and 129?
129
What is the greatest common divisor of 52244 and 1702?
74
Calculate the greatest common divisor of 36192 and 192.
96
What is the highest common factor of 275295 and 15?
15
What is the highest common divisor of 156086 and 14?
14
Calculate the highest common factor of 44986 and 14525.
83
Calculate the highest common divisor of 6480 and 16560.
720
What is the highest common factor of 85942 and 1746?
194
Calculate the greatest common factor of 130 and 2215655.
65
What is the greatest common factor of 45820 and 27255?
395
Calculate the highest common factor of 940 and 2143435.
235
Calculate the highest common divisor of 45 and 85335.
15
What is the highest common divisor of 104 and 243256?
104
What is the greatest common factor of 462 and 239162?
154
Calculate the greatest common factor of 60650 and 200.
50
What is the greatest common divisor of 92166 and 30?
6
What is the greatest common factor of 89 and 6874004?
89
Calculate the greatest common divisor of 3625 and 1653.
29
Calculate the greatest common divisor of 2785748 and 122.
122
What is the highest common divisor of 242330 and 440?
110
What is the highest common factor of 1650 and 2454?
6
Calculate the highest common factor of 35659 and 422.
211
What is the highest common factor of 29 and 2536949?
29
Calculate the greatest common divisor of 1232 and 1036.
28
What is the highest common factor of 1307872 and 224?
32
What is the highest common divisor of 40 and 418420?
20
What is the greatest common factor of 30 and 1727?
1
Calculate the greatest common factor of 22246 and 44038.
454
What is the highest common factor of 9581 and 121264?
143
Calculate the greatest common divisor of 1979910 and 60.
30
Calculate the highest common divisor of 928 and 24012.
116
What is the highest common factor of 3444408 and 77?
11
What is the greatest common divisor of 6 and 2756526?
6
Calculate the greatest common factor of 20 and 1959730.
10
What is the greatest common factor of 108777 and 404?
101
Calculate the greatest common factor of 2110 and 42310.
10
What is the highest common divisor of 177756 and 24?
12
Calculate the highest common divisor of 140604 and 36.
12
What is the highest common factor of 8416 and 32?
32
What is the greatest common factor of 1090423 and 1?
1
What is the highest common divisor of 78185 and 5?
5
Calculate the greatest common factor of 148 and 168202.
74
What is the greatest common divisor of 1680 and 20958?
42
Calculate the highest common divisor of 1001 and 46423.
13
What is the greatest common divisor of 3723 and 162571?
1241
What is the greatest common divisor of 340 and 352172?
68
Calculate the greatest common factor of 1095696 and 1512.
504
What is the highest common divisor of 183 and 141?
3
Calculate the highest common factor of 1015 and 74515.
35
Calculate the highest common factor of 140 and 286580.
140
What is the greatest common divisor of 2430 and 2130?
30
Calculate the highest common factor of 735 and 1680.
105
Calculate the greatest common divisor of 12 and 213002.
2
What is the greatest common factor of 132187 and 671?
671
Calculate the highest common factor of 624286 and 1690.
338
What is the greatest common factor of 56 and 8480?
8
What is the greatest common factor of 49 and 910?
7
Calculate the highest common divisor of 69842 and 153058.
1486
Calculate the highest common factor of 40 and 39952.
8
What is the greatest common divisor of 6567 and 11517?
33
Calculate the greatest common factor of 36 and 482787.
9
What is the greatest common divisor of 1082641 and 7?
7
Calculate the greatest common factor of 27 and 188847.
9
What is the highest common factor of 2608 and 7619272?
1304
Calculate the greatest common factor of 1988 and 27548.
284
What is the highest common factor of 11888 and 464?
16
What is the greatest common divisor of 13854154 and 38?
38
Calculate the greatest common divisor of 14 and 4632.
2
Calculate the greatest common divisor of 1610 and 24840.
230
Calculate the highest common factor of 28824 and 24.
24
What is the greatest common factor of 113151 and 3?
3
What is the greatest common factor of 2 and 898?
2
Calculate the highest common factor of 1855 and 233359.
371
What is the highest common divisor of 12989 and 403?
31
Calculate the greatest common divisor of 1820 and 4970.
70
Calculate the highest common factor of 36669 and 2329.
17
Calculate the highest common factor of 158498 and 1824.
38
What is the greatest common factor of 1599 and 507?
39
Calculate the highest common factor of 25515 and 7350.
105
What is the greatest common factor of 708 and 13983?
177
What is the greatest common divisor of 1005 and 1532290?
335
Calculate the greatest common factor of 13 and 676117.
13
What is the greatest common factor of 4160 and 699712?
832
Calculate the highest common divisor of 18632 and 5576.
136
What is the highest common factor of 1775 and 275?
25
Calculate the highest common divisor of 161 and 489463.
23
Calculate the greatest common divisor of 435 and 2874.
3
Calculate the highest common divisor of 39 and 69511.
13
Calculate the greatest common factor of 7913 and 15440.
193
Calculate the greatest common factor of 692355 and 1919.
101
What is the greatest common factor of 6095 and 13250?
265
What is the greatest common factor of 11808 and 3168?
288
Calculate the greatest common factor of 86 and 12004912.
86
What is the greatest common divisor of 402 and 23785134?
402
What is the highest common factor of 1639451 and 309?
103
Calculate the greatest common factor of 5348 and 4228.
28
Calculate the greatest common divisor of 1369986 and 6.
6
Calculate the greatest common divisor of 1156 and 1300789.
289
Calculate the greatest common factor of 26092 and 44.
44
What is the highest common factor of 899 and 31?
31
What is the greatest common divisor of 34280 and 16?
8
What is the highest common factor of 11696 and 102?
34
Calculate the highest common factor of 5872160 and 392.
392
Calculate the highest common divisor of 3963070 and 1110.
370
What is the highest common factor of 127052 and 368?
92
What is the greatest common divisor of 115736 and 1088?
136
Calculate the greatest common divisor of 451592 and 3192.
152
What is the greatest common divisor of 232 and 10411?
29
What is the greatest common facto | {
"pile_set_name": "DM Mathematics"
} |
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