text stringlengths 270 8.19k | meta dict |
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thousands digit of 7122982?
2
What is the millions digit of 5976041?
5
What is the hundred thousands digit of 2096234?
0
What is the thousands digit of 908092?
8
What is the units digit of 10421375?
5
What is the hundreds digit of 456757?
7
What is the units digit of 708008?
8
What is the units digit of 7718898?
8
What is the units digit of 201429?
9
What is the thousands digit of 39601?
9
What is the hundreds digit of 22970916?
9
What is the tens digit of 2932284?
8
What is the millions digit of 1759850?
1
What is the tens digit of 200935?
3
What is the units digit of 2559562?
2
What is the thousands digit of 490671?
0
What is the thousands digit of 155717?
5
What is the ten thousands digit of 6297952?
9
What is the units digit of 985090?
0
What is the hundreds digit of 9855403?
4
What is the ten thousands digit of 518691?
1
What is the hundreds digit of 1611035?
0
What is the hundred thousands digit of 191756?
1
What is the hundreds digit of 3609058?
0
What is the ten thousands digit of 448490?
4
What is the thousands digit of 15148102?
8
What is the units digit of 502713?
3
What is the hundred thousands digit of 22892053?
8
What is the thousands digit of 2819126?
9
What is the units digit of 460486?
6
What is the thousands digit of 222285?
2
What is the hundreds digit of 70571?
5
What is the units digit of 2087401?
1
What is the tens digit of 244975?
7
What is the tens digit of 1760655?
5
What is the units digit of 26818598?
8
What is the thousands digit of 1242598?
2
What is the hundred thousands digit of 1038816?
0
What is the ten thousands digit of 709891?
0
What is the hundred thousands digit of 324612?
3
What is the ten millions digit of 23307933?
2
What is the ten thousands digit of 965357?
6
What is the millions digit of 2332672?
2
What is the millions digit of 6206622?
6
What is the tens digit of 2227325?
2
What is the millions digit of 20358974?
0
What is the hundred thousands digit of 2503268?
5
What is the units digit of 216462?
2
What is the hundred thousands digit of 30851132?
8
What is the units digit of 165100?
0
What is the thousands digit of 651737?
1
What is the hundreds digit of 50732?
7
What is the ten thousands digit of 3133191?
3
What is the units digit of 2080082?
2
What is the hundreds digit of 605294?
2
What is the tens digit of 1131387?
8
What is the thousands digit of 1837473?
7
What is the units digit of 2838326?
6
What is the thousands digit of 174135?
4
What is the millions digit of 1645326?
1
What is the millions digit of 1039710?
1
What is the thousands digit of 4272530?
2
What is the hundreds digit of 867399?
3
What is the ten thousands digit of 66886?
6
What is the hundreds digit of 2657719?
7
What is the thousands digit of 171212?
1
What is the hundred thousands digit of 3035846?
0
What is the units digit of 613500?
0
What is the units digit of 727895?
5
What is the thousands digit of 257910?
7
What is the thousands digit of 409263?
9
What is the ten thousands digit of 287782?
8
What is the hundred thousands digit of 577188?
5
What is the hundreds digit of 2500686?
6
What is the hundreds digit of 2988107?
1
What is the tens digit of 92531?
3
What is the ten thousands digit of 170577?
7
What is the thousands digit of 1371311?
1
What is the ten thousands digit of 56240?
5
What is the hundreds digit of 4988?
9
What is the ten thousands digit of 115225?
1
What is the units digit of 1057911?
1
What is the units digit of 344121?
1
What is the hundreds digit of 13374722?
7
What is the units digit of 251783?
3
What is the hundred thousands digit of 10359065?
3
What is the ten thousands digit of 11179489?
7
What is the tens digit of 926429?
2
What is the hundred thousands digit of 382667?
3
What is the hundred thousands digit of 2668093?
6
What is the thousands digit of 4456724?
6
What is the tens digit of 1641374?
7
What is the ten thousands digit of 10236096?
3
What is the thousands digit of 18735159?
5
What is the ten thousands digit of 385439?
8
What is the thousands digit of 25428?
5
What is the tens digit of 128458?
5
What is the hundred thousands digit of 1131448?
1
What is the hundred thousands digit of 3217667?
2
What is the units digit of 5494358?
8
What is the units digit of 85674?
4
What is the hundreds digit of 15806970?
9
What is the thousands digit of 5196331?
6
What is the units digit of 8707928?
8
What is the thousands digit of 17913809?
3
What is the tens digit of 514515?
1
What is the ten thousands digit of 62060?
6
What is the hundreds digit of 2575826?
8
What is the units digit of 9613825?
5
What is the thousands digit of 184942?
4
What is the units digit of 222329?
9
What is the hundred thousands digit of 515088?
5
What is the hundred thousands digit of 460430?
4
What is the hundred thousands digit of 3899862?
8
What is the millions digit of 22080699?
2
What is the units digit of 141481?
1
What is the millions digit of 11893007?
1
What is the hundred thousands digit of 437285?
4
What is the hundred thousands digit of 276164?
2
What is the tens digit of 3393748?
4
What is the thousands digit of 25482673?
2
What is the hundreds digit of 9943885?
8
What is the units digit of 27557?
7
What is the hundreds digit of 402120?
1
What is the thousands digit of 38334?
8
What is the hundred thousands digit of 549919?
5
What is the hundred thousands digit of 11116222?
1
What is the hundred thousands digit of 3789114?
7
What is the hundred thousands digit of 120893?
1
What is the hundreds digit of 24230?
2
What is the ten thousands digit of 535968?
3
What is the tens digit of 8352166?
6
What is the millions digit of 2580532?
2
What is the hundreds digit of 409679?
6
What is the hundred thousands digit of 20463411?
4
What is the hundreds digit of 1507273?
2
What is the hundreds digit of 1649154?
1
What is the thousands digit of 2445661?
5
What is the units digit of 6243?
3
What is the hundreds digit of 224184?
1
What is the ten thousands digit of 5705499?
0
What is the tens digit of 969918?
1
What is the thousands digit of 4325459?
5
What is the millions digit of 5013628?
5
What is the millions digit of 1184345?
1
What is the ten thousands digit of 108951?
0
What is the tens digit of 187264?
6
What is the ten millions digit of 14878299?
1
What is the millions digit of 4877451?
4
What is the millions digit of 3172564?
3
What is the tens digit of 116765?
6
What is the hundreds digit of 164516?
5
What is the ten thousands digit of 1495640?
9
What is the millions digit of 4999388?
4
What is the hundred thousands digit of 4090312?
0
What is the units digit of 2409776?
6
What is the hundred thousands digit of 4604947?
6
What is the hundred thousands digit of 1268752?
2
What is the thousands digit of 34915322?
5
What is the units digit of 455940?
0
What is the tens digit of 169204?
0
What is the tens digit of 24308639?
3
What is the hundreds digit of 6574221?
2
What is the hundreds digit of 169498?
4
What is the millions digit of 1986438?
1
What is the tens digit of 12674400?
0
What is the hundreds digit of 91743?
7
What is the tens digit of 912409?
0
What is the tens digit of 602149?
4
What is the ten thousands digit of 586555?
8
What is the thousands digit of 1235753?
5
What is the hundreds digit of 453676?
6
What is the tens digit of 2201210?
1
What is the hundred thousands digit of 6206502?
2
What is the ten thousands digit of 105507?
0
What is the thousands digit of 127563?
7
What is the tens digit of 7352156?
5
What is the thousands digit of 1365507?
5
What is the tens digit of 27248973?
7
What is the hundred thousands digit of 149675?
1
What is the millions digit of 1124164?
1
What is the millions digit of 2288294?
2
What is the hundred thousands digit of 10695245?
6
What is the hundred thousands digit of 178524?
1
What is the hundreds digit of 308526?
5
What is the tens digit of 383561?
6
What is the tens digit of 116924?
2
What is the hundreds digit of 11101665?
6
What is the thousands digit of 489658?
9
What is the units digit of 1787820?
0
What is the ten thousands digit of 2141335?
4
What is the hundreds digit of 64135?
1
What is the hundreds digit of 2394138?
1
What is the millions digit of 8706871?
8
What is the units digit of 4119970?
0
What is the tens digit of 644157?
5
What is the thousands | {
"pile_set_name": "DM Mathematics"
} |
-0.5?
-0.5
What is the closest to 2 in 13, -5, 642, 0?
0
Which is the nearest to -24? (a) 5 (b) -2/13 (c) -979
b
Which is the closest to 24379? (a) -2/13 (b) -0.2 (c) 3
c
What is the nearest to -1/380 in 33, 2, -1/9?
-1/9
What is the closest to -6 in -9, 3/10, -1.3, 5, -0.2?
-9
What is the nearest to 0 in -5, -1/3, 0.6, -7/6, 6?
-1/3
What is the closest to -1.2 in -1, 0.5, 199, 1?
-1
What is the closest to 1 in -97, -1434, 1?
1
What is the nearest to -1 in -155, 1, 1/3, 0.061?
0.061
What is the nearest to 0.1 in -2/5, -4, 0.3, -1.6687?
0.3
Which is the closest to 1? (a) -6 (b) -885 (c) 4/9
c
Which is the nearest to 5? (a) 0.4 (b) 0.1 (c) -0.1 (d) -0.043
a
What is the nearest to -180 in 2/65, 1/2, -1/4, 2?
-1/4
Which is the nearest to -2/37? (a) -2 (b) 0.4 (c) 0.1 (d) 4/5 (e) 4
c
What is the nearest to -41 in -3, 0.5, -7/4, -8?
-8
What is the nearest to -2/15 in -0.07, 6, -54?
-0.07
What is the nearest to -1 in 1, 2, -10445?
1
Which is the nearest to 9? (a) -40 (b) -1/6 (c) -0.015
c
What is the closest to -1 in 10, 0.02, 4/9, -0.5?
-0.5
What is the closest to -1 in 0.1, 8, -37, -21?
0.1
Which is the closest to -0.09? (a) -5 (b) -207 (c) 2/3 (d) -2
c
What is the closest to -56/11 in -4, -0.128, 1, -0.1?
-4
What is the nearest to -1142 in 2/7, 2/5, 1, -1?
-1
What is the nearest to 0 in 1/4, 4, -1/9, -0.5, 0.6032?
-1/9
Which is the closest to 1? (a) -1/5 (b) 3/7 (c) 2/13 (d) 7
b
What is the closest to 2 in -2/7, -1, 26/3, -0.1?
-0.1
Which is the closest to 4/3? (a) -2/15 (b) 5 (c) -2 (d) -6
a
What is the closest to 0 in 4956, -52, 3, 0, -2?
0
What is the closest to 2 in -2, -160.2, 3, -0.3, 189/4?
3
What is the nearest to -3 in -4/73, 0, -1/4, -5?
-5
What is the closest to -6 in -4, 2/7, -10/9?
-4
What is the nearest to 0 in -177, -0.05, 1, 0.4?
-0.05
Which is the closest to -1? (a) -76/7 (b) -2220 (c) 1/2
c
Which is the closest to 1/7? (a) 0.3 (b) 0.111 (c) 50 (d) 0
b
Which is the nearest to -1/6? (a) -93 (b) -1/6 (c) 2
b
Which is the nearest to -2/3? (a) 13/334 (b) 3/5 (c) 2/5 (d) 0.3
a
What is the closest to 6 in -23, 1, 79/5, -1?
1
What is the closest to -2/37 in -1/11, -4, -0.5, 0.6?
-1/11
Which is the nearest to 21? (a) 0.1 (b) -1/6 (c) -4 (d) -82 (e) 1
e
Which is the nearest to 1/2? (a) 0 (b) -142 (c) -0.3 (d) 7 (e) -3
a
What is the closest to 0 in 243/5, -5, 0.3, 4?
0.3
Which is the nearest to -1/3? (a) 0.218 (b) -858 (c) -4 (d) -2
a
What is the closest to 9 in 2/33, 3/5, -0.3?
3/5
Which is the nearest to -0.167? (a) 3/5 (b) 11 (c) -1/4 (d) -3 (e) -0.5
c
Which is the nearest to 2/9? (a) -0.01 (b) -0.29 (c) 0.4 (d) -33
c
What is the closest to -1 in 0.25, -5, -8/7, 1/2?
-8/7
What is the closest to 0.3 in 0.3, 0.29, -5, 1?
0.3
Which is the closest to -2/7? (a) -2.04 (b) 0.1 (c) 26.87
b
Which is the closest to 5/3? (a) -21.2 (b) -0.3 (c) -0.2 (d) -0.1 (e) -2/5
d
Which is the closest to 2/229? (a) -5 (b) 0.5 (c) -2/39 (d) -4 (e) -0.5
c
What is the closest to -23 in 1, -0.0131, -2/5?
-2/5
Which is the nearest to 19? (a) -0.08 (b) 2/5 (c) 0 (d) 2 (e) 0.04
d
Which is the closest to 0.1? (a) -248 (b) -1/6 (c) 1 (d) 333
b
Which is the nearest to -1.283? (a) 1 (b) 3 (c) -0.3
c
What is the nearest to 45 in -0.6, -0.3, -1/6?
-1/6
What is the nearest to -0.03 in 3.6, 5, 4, -1?
-1
Which is the closest to -1? (a) 6/11 (b) 0 (c) -2/21 (d) 3 (e) 0.3
c
Which is the nearest to 2/3? (a) 0.1 (b) -3 (c) 125 (d) -1/9
a
Which is the nearest to 1/2? (a) 2 (b) 1 (c) -0.4 (d) -521 (e) -8
b
Which is the nearest to 0? (a) 2/7 (b) 1 (c) 0.09 (d) -7 (e) 15/68
c
Which is the nearest to 63? (a) -0.1 (b) 1/4 (c) -2/29 (d) -4 (e) -2/21
b
What is the closest to -1 in -1/2, 0.07641, 0?
-1/2
What is the closest to 8/9 in -2/7, 0.1, -3/11?
0.1
Which is the nearest to 0.249? (a) -1/3 (b) -0.3 (c) -76
b
Which is the nearest to 13/3? (a) 0.3 (b) -3/2 (c) -5
a
What is the closest to -2/7 in -94, 1, 5.6?
1
Which is the closest to -2? (a) -8 (b) 1 (c) -2 (d) -2/59
c
What is the closest to 1 in 0.569, 1/6, -1/2?
0.569
What is the nearest to 1257 in -13, -2/11, -5, 0.2?
0.2
Which is the closest to -0.1? (a) 4 (b) 2/5 (c) 0.418 (d) -5 (e) 7/6
b
What is the nearest to -18 in 4/3, 5/8, 2?
5/8
Which is the closest to 1/25? (a) 0.21 (b) -9 (c) -3
a
Which is the nearest to 31? (a) -1/4 (b) 32 (c) -1/11 (d) 0.5 (e) 3
b
Which is the nearest to -2/91? (a) -2/11 (b) 172/7 (c) 1/4
a
Which is the nearest to -2? (a) 0.4 (b) 7/25 (c) 1 (d) -2/3 (e) 2/19
d
What is the closest to -0.09 in 3/8, -3/5, -10.4, -0.4?
-0.4
Which is the nearest to -3? (a) -1 (b) 0.4 (c) -0.2 (d) 3 (e) 319/2
a
Which is the nearest to 0? (a) 23 (b) 24 (c) -2/3 (d) 1 (e) -0.7
c
What is the nearest to 1/2 in 2/17, -82, -54/13, 0.2?
0.2
Which is the nearest to -1/32? (a) 0.1 (b) -1/1325 (c) -3 (d) -3/5
b
What is the nearest to 1/37 in -1, 2, -5, 27?
-1
Which is the closest to 1/3? (a) 34 (b) -2 (c) 9 (d) -3 (e) -2.3
b
Which is the closest to 1/11? (a) -4 (b) 4 (c) -0.5 (d) 77/3
c
What is the closest to -0.1 in -4/7, -21, 0.1, 2/13?
0.1
Which is the closest to -29? (a) -2/25 (b) -4/7 (c) 2 (d) -0.4 (e) 5/6
b
What is the nearest to -0.276 in 2/7, -3, -365?
2/7
What is the closest to 5 in -2/19, 12, -195?
-2/19
Which is the closest to -1.667? (a) -5 (b) -0.2 (c) -3
c
What is the nearest to 4 in 1, 1/2, -9, -8, -2/3?
1
What is the nearest to 1/2 in -3/4, -208, 10/7, -4?
10/7
Which is the nearest to -5? (a) 1/327 (b) -0.5 (c) 9
b
Which is the nearest to 68? (a) -5/3 (b) 5 (c) -0.1
b
What is the closest to -0.2 in 0.3, 0.5, 5, 0.4, -34/19?
0.3
What is the closest to 0 in 3/24208, -1, -2, -3?
3/24208
Which is the closest to 12.05? (a) 3 (b) 4 (c) -2 (d) -2/7 (e) 25
b
Which is the closest to 7? (a) 16/7 (b) -18 (c) -0.5 (d) -2/19 (e) -2/9
a
Which is the closest to 0.1? (a) -25 (b) 2870 (c) -0.1 (d) 0.5
c
What is the closest to -1 in -1, -0.5, 33987?
-1
Which is the nearest to 1/6? (a) 2 (b) -1 (c) -230 (d) -3/5
d
Which is the nearest to 2? (a) -1 (b) -3/19 (c) 3
c
Which is the nearest to 0.1? (a) 3 (b) -232 (c) -1 (d) 8
c
Which is the nearest to 1/2? (a) 0 (b) 2 (c) -4 (d) 5/3 (e) 0.331
e
What is the nearest to -1 in 0.04, -5, 4, 2/23?
0.04
What is the closest to -1 in 21, -5, -24.82, -0.1?
-0.1
Which is the closest to -1/7? (a) -0.5 (b) 0.04 (c) -1 (d) 2/19 (e) 1.7
b
Which is the nearest to 0.2442? (a) 2/5 (b) -0.06 (c) 5/4 (d) 0
a
What is the nearest to -1 in 0.12, 2/9, -2/9, 101, -3?
-2/9
Which is the closest to -35? (a) -14 (b) -2 (c) 3
a
Which is the closest to -1? (a) 0.3 (b) -5 (c) 5 (d) -0.3316 (e) -1
e
What is the closest to -35984.2 in -5, 5, -7?
-7
Which is the closest to -1? (a) -2/17 (b) -0.13 (c) -0.4 (d) 9351
c
Which is the closest to 0.2? (a) 2/31 (b) -1/3 (c) 78 (d) 1
a
What is the nearest to -1/2 in -39.098, -2, -1/4?
-1/4
What is the nearest to -3/193 in 3, -5, -0.5, -0.2?
-0.2
Which is the nearest to -4? (a) -0.3 (b) 1/9 (c) 3 (d) -2/15 (e) 4/53
a
What is the closest to 6 in -2/11, 113, 1, -2/5?
1
Which is the nearest to -4? (a) 121 (b) -1.2 (c) -3
c
Which is the nearest to 6? (a) 0.4 (b) 1 (c) -2/53 (d) -8 (e) -6
b
What is the nearest to -3/5 in 2, 5, 55/6, 7/20, -4?
7/20
What is the closest to 380/11 in -2, -1, -2/37, -0.5?
-2/37
Which is the nearest to 1/87? (a) -1/10 (b) -4 (c) -1 (d) -10/3
a
Which is the closest to -5? (a) 0 (b) -0.24 (c) 3/8 (d) 0.2 (e) -1/2
e
What is the nearest to 9 in 19090, -5, -2, -4?
-2
Which is the nearest to -34? (a) -3/7 (b) 45 (c) 5 (d) -12
d
Which is the nearest to -13? (a) -0.7 (b) -2 (c) -7 (d) -5
c
What is the nearest to 2 in 7, -0.08, -0.3, -6/31?
-0.08
Which is the closest to 0.1? (a) 1/10 (b) 32 (c) -4 (d) 38 (e) -118
a
What is the closest to -0.1 in -0.9, -0.4, 0.617, 0.5, -0.3?
-0.3
Which is the closest to -369? (a) 1 (b) 2 (c) 1.7 (d) -3/7
d
Which is the nearest to 10? (a) 2/7 (b) -0.5 (c) 261
a
What is the nearest to 0 in 3, -0.04, 695, 0.11?
-0.04
Which is the closest to 0? (a) -0.06 (b) 0 (c) -7/8 (d) -5
b
What is the nearest to -1 in 20/11, 44, 7/8, 3?
7/8
What is the closest to 0.1 | {
"pile_set_name": "DM Mathematics"
} |
vative of -z**5/100 + z**4/4 - 8*z**3/5 + 9*z**2/2 - 20. Let h(f) be the second derivative of r(f). Factor h(w).
-3*(w - 8)*(w - 2)/5
Let s be ((-4)/(-8)*6 - 4)*-89. Let q = s + -87. Suppose -3*l**3 - 205*l**q + 12 + 100*l**2 + 96*l**2 = 0. What is l?
-2, 1
Solve 2/9*t**5 + 0*t + 0 + 2/3*t**4 + 0*t**3 - 8/9*t**2 = 0 for t.
-2, 0, 1
Let h(f) be the second derivative of -5*f**4/12 - 905*f**3/6 + 455*f**2 - f - 36. Factor h(a).
-5*(a - 1)*(a + 182)
Let t(r) be the first derivative of 6*r + 1/4*r**4 - 38 + 8/3*r**3 + 13/2*r**2. Factor t(y).
(y + 1)**2*(y + 6)
Let w(o) be the second derivative of -o**6/30 + 119*o**5/2 - 117611*o**4/4 - 354620*o**3/3 - 177608*o**2 + 6088*o. Solve w(n) = 0 for n.
-1, 596
Let j(n) = n**3 + 14*n**2 + 38*n - 8. Let u be j(-8). Find a such that -10*a**4 - 84*a**5 - 80*a**2 + u*a**3 + 88*a**5 - 18*a**4 + 32*a = 0.
0, 1, 2
Let k(v) be the second derivative of -9/2*v**2 - v + 9/2*v**4 + 53/2*v**3 - 49. Find i such that k(i) = 0.
-3, 1/18
Let p = 303229 + -303229. Factor -11/8*k**4 - 1/4*k**2 + p*k - 13/8*k**3 + 0.
-k**2*(k + 1)*(11*k + 2)/8
Suppose -1036 = 5*q + x - 313, 0 = 5*q - 2*x + 714. Let n be q/(-960) - (-1)/4. Determine z, given that 4/5*z**3 - 4/5*z - 2/5*z**4 + 0 + n*z**2 = 0.
-1, 0, 1, 2
Let r(f) be the third derivative of f**7/140 + 3*f**6/40 - 49*f**5/40 + 33*f**4/8 + 2086*f**2. Let r(d) = 0. What is d?
-11, 0, 2, 3
Suppose -6*u + 561 - 561 = 0. Suppose 17*m - 11 - 23 = u. Factor 0 - 2/3*g + 2/3*g**m.
2*g*(g - 1)/3
Suppose -2*k + 110 = -4*r, 72 = 3*k - 4*r - 101. Let k*o**2 + 477 - 60*o**2 + 190 + 416 - 114*o = 0. What is o?
19
Suppose -31*d - 16 = -33*d. Suppose 9 = d*o - 7. Factor -2*s**o - 2*s**2 + 3*s**3 + s**3 - 4*s**2.
4*s**2*(s - 2)
Suppose 6*y = -4*v - 42, -46*v - 69 = -3*y - 42*v. What is c in 0*c + 0 + 1/5*c**y + 29/5*c**2 = 0?
-29, 0
Let z(v) = -5*v**3 + 109*v**2 - 238*v - 530. Let y be z(19). Suppose 0 - 1/9*k**5 + 0*k - 784/9*k**3 - 56/9*k**4 + 0*k**y = 0. Calculate k.
-28, 0
Suppose -39*q - 183 = 12. Let i be (9/(q + -13))/(-3). What is d in 1/2*d**5 + 0*d - 1/3*d**3 + 0*d**2 + i*d**4 + 0 = 0?
-1, 0, 2/3
Let t be (20/(-3))/20*-30. Let r(c) be the first derivative of -c - 5/12*c**3 + t - c**2 - 1/16*c**4. Factor r(y).
-(y + 1)*(y + 2)**2/4
Let y(l) = 11*l - 121. Let t be y(16). Factor 5*g**3 - 25 + 8 - 30*g**2 + t*g - 12 - 1.
5*(g - 3)*(g - 2)*(g - 1)
Let o = -299379 + 299379. Suppose 1/6*a**2 + o + 4*a = 0. What is a?
-24, 0
Let a(w) be the third derivative of -3025/8*w**3 - 4*w**2 - 1/80*w**5 + 55/16*w**4 + 4*w + 0. Factor a(y).
-3*(y - 55)**2/4
Let x(y) be the second derivative of y**8/2016 - y**7/315 + y**6/270 + 7*y**4/12 - y**3/6 + 59*y. Let s(g) be the third derivative of x(g). Factor s(d).
2*d*(d - 2)*(5*d - 2)/3
Let z be (3 - (-101)/6) + 2/12. Suppose -6 = 5*b - 46. Find c such that 16*c**3 + 2*c**2 + z*c - 54*c**2 - b*c**2 - 61*c**3 + 35*c**4 = 0.
-1, 0, 2/7, 2
Let x(n) be the third derivative of n**6/60 + 13*n**5/105 - 323*n**4/84 + 30*n**3/7 - 3*n**2 + 1026*n. Factor x(r).
2*(r - 5)*(r + 9)*(7*r - 2)/7
Solve 0 + 62/3*c**2 + 2/3*c**3 - 68*c = 0.
-34, 0, 3
Let d(z) = -5*z - 14. Let f be d(-3). Let i(j) = 4*j**2 + 2*j - 1. Let r(b) = -42*b**2 - 4*b - 14. Let t(k) = f*r(k) + 10*i(k). Solve t(v) = 0.
2, 6
Let z be 0*(-51 - -20)/62. Factor 0 + z*t + 2/11*t**3 + 4/11*t**4 + 0*t**2 + 2/11*t**5.
2*t**3*(t + 1)**2/11
Let t be -2 + (-50)/(-7) - 17/119. Let f be t + -3 + -2 + 3. Factor f*s - 4*s**2 - 2*s**3 - s + 4*s**3.
2*s*(s - 1)**2
Suppose 36*g = 58 + 122. Let b(w) be the second derivative of 9/4*w**4 - 8*w**2 + 8*w**3 + 0 + 7/40*w**g - 12*w. Factor b(q).
(q + 4)**2*(7*q - 2)/2
Let a be (-605)/(-105) - (-6)/9 - 3/7. Let b(s) be the second derivative of 0*s**4 + 0*s**2 + 1/30*s**a - 18*s + 0 + 0*s**3 + 1/20*s**5. Factor b(q).
q**3*(q + 1)
Suppose 26*t - 14*t + 62916 = 0. Let p be t/(-214)*1*4. Factor 6*n**2 + p + 42*n + 2/7*n**3.
2*(n + 7)**3/7
Suppose -170*f = -172*f + 4. Factor 60*l**4 + 16*l**3 + 20*l**f + 8*l**3 - 56*l**4.
4*l**2*(l + 1)*(l + 5)
Let k(z) be the second derivative of z**6/180 - 13*z**5/90 + 4*z**4/9 + z**3/6 + 11*z**2 + 3*z + 12. Let c(m) be the second derivative of k(m). Factor c(q).
2*(q - 8)*(3*q - 2)/3
Let y = -836691/4 + 209182. Let -9/2 - 45/4*a - y*a**2 - 11/4*a**3 - 1/4*a**4 = 0. Calculate a.
-6, -3, -1
Suppose 5*w**4 - 30*w**2 - 27 + 27 - 3*w**4 + 28*w**3 + 120*w**2 = 0. What is w?
-9, -5, 0
Factor -2*h**3 + 433 + 412*h + 29 + 100*h**2 - 46 + h**3.
-(h - 104)*(h + 2)**2
Let a = 305 - 286. Suppose 67*z + 72 + a*z**2 - 117*z - 280*z + 8*z**2 = 0. What is z?
2/9, 12
Let m(f) be the second derivative of 2*f**7/49 - 38*f**6/105 + 3*f**5/5 - 5*f**4/21 + 9*f - 33. Determine p so that m(p) = 0.
0, 1/3, 1, 5
Suppose 1 = 5*z + x, -604*x = 4*z - 606*x - 26. Let o(k) be the first derivative of 1/9*k**3 - 18 + 1/6*k**z + 0*k. Factor o(f).
f*(f + 1)/3
Let l(f) be the second derivative of 3*f**5/20 - 101*f**4 - 405*f**3/2 + 1888*f. Factor l(d).
3*d*(d - 405)*(d + 1)
Factor -1/4*h**2 + 354 - 175/2*h.
-(h - 4)*(h + 354)/4
Let x(r) be the third derivative of -7*r**5/24 - r**4/32 - 2212*r**2. Factor x(i).
-i*(70*i + 3)/4
Suppose -76 = -97*i + 93*i. Factor i + 4 + 25*b**2 - 23 - 10*b.
5*b*(5*b - 2)
Suppose -4*l - 23 = -h + 2, -h = -1. Let y(f) = -8 + 88*f + 89*f**2 - 93*f - 91*f**2. Let b(u) = 3*u**2 + 6*u + 9. Let r(j) = l*y(j) - 5*b(j). Factor r(a).
-3*(a - 1)*(a + 1)
Let c be (-44)/(-2)*(-128)/(-512). Let -23/4*v - 1/4*v**2 - c = 0. Calculate v.
-22, -1
Suppose -8*l = -4*l - 12. Suppose -m - 3*q = 2, 4*m + l*q = -0*m + 1. Solve d**3 - m + d + 5*d**2 - 2*d - 4*d**2 + 0*d = 0 for d.
-1, 1
Find p such that 2240 + 5/4*p**5 + 135/4*p**4 + 340*p**3 + 1555*p**2 + 3120*p = 0.
-8, -7, -2
Suppose -36 = -136*y + 134*y. Factor 19*l + 23*l**2 - y*l**3 - 51*l + 2 + 19*l**2 + 6.
-2*(l - 1)*(3*l - 2)**2
Let m be ((-15)/(-40)*-2)/((9 + -10)/4). Determine n so that 10/9*n**4 + 0 - 2/3*n**5 + 0*n - 2/9*n**m - 2/9*n**2 = 0.
-1/3, 0, 1
Let p(i) be the second derivative of -3*i**5/40 + 7*i**4/8 + 325*i**3/4 - 9633*i**2/4 - 2962*i. Factor p(l).
-3*(l - 13)**2*(l + 19)/2
Let i(b) = b**3 - 22*b**2 + 47*b - 131. Let j be i(23). Let s = 10357/7 - j. Solve 2/7*o**4 - s*o**2 + 0 + 0*o + 2/7*o**3 = 0 for o.
-2, 0, 1
Suppose 0 = 3*i - 21 + 12. Solve 45*f - 25 - f**i + 13*f**2 + 2*f**2 - 4*f**3 - 110 = 0.
-3, 3
Let l(o) be the third derivative of 3/20*o**5 - 2*o - 19/24*o**4 + 1/3*o**3 + 2*o**2 + 0. Factor l(k).
(k - 2)*(9*k - 1)
Let n(c) = -2*c**2 - 3361*c - 36729. Let m be n(-11). Find u such that m*u**2 + 0 + 0*u - 1/4*u**3 = 0.
0
Determine z so that 28/17*z**3 + 164/17*z - 120/17*z**2 - 2/17*z**4 - 70/17 = 0.
1, 5, 7
Factor -28*j + 1/6*j**5 - 122/3*j**2 + 0 - 5/2*j**4 - 19*j**3.
j*(j - 21)*(j + 2)**3/6
Suppose -18*v + 55 = 3*a - 17*v, 0 = a - 5*v - 13. Suppose -15*w + a*w - 6 = 0. Solve 5/8*r - 1/8*r**w - 1/8*r**3 - 3/8 = 0.
-3, 1
Let s = 203/277 - -19/1108. Let x(v) be the first derivative of -1/24*v**3 + s*v + 42 + 5/16*v**2. Let x(u) = 0. What is u?
-1, 6
Let 51/2*h + 3/8*h**5 - 201/8*h**4 + 201/8*h**2 + 0 - 207/8*h**3 = 0. Calculate h.
-1, 0, 1, 68
Let h(d) = -4*d**5 + 38*d**4 - 48*d**3 - 86*d**2 + 310*d - 186. Let p(r) = r**4 + 2*r**3 - r**2 + r + 1. Let z(v) = -h(v) + 6*p(v). Find j, given that z(j) = 0.
-2, 1, 2, 3, 4
Let v(q) = 3*q**3 - 113*q**2 + 950*q + 3468. Let i(b) = 10*b**3 - 363*b**2 + 2849*b + 10404. Let f(t) = 6*i(t) - 21*v(t). Determine m, given that f(m) = 0.
-3, 34
Factor 183*g + 303*g**2 - 299*g**2 - 671*g.
4*g*(g - 122)
Let m(p) be the first derivative of -p**7/525 - p**6/100 + 2*p**5/75 - p**2 + 112*p + 109. Let q(c) be the second derivative of m(c). Let q(x) = 0. What is x?
-4, 0, 1
Suppose -9*h + 6*h + 24 = 0. Let g be (0/h - -4)*50/8. Factor -g*a**4 + 89*a**2 - 10*a**4 + 198*a**3 + 57*a**3 + 121*a**2 - 80*a.
-5*a*(a - 8)*(a + 1)*(7*a - 2)
Suppose -16*c + 16 = -8*c. Suppose -c*m = -0*m - 10. Determine x, given that 69*x**3 - 28*x**4 + 4*x + 86*x**5 - 61*x**m - 42*x**4 - 28*x**2 = 0.
0, 2/5, 1
Let j(q) = 7*q**4 + 14*q**3 + 27*q**2 - 124*q + 28. Let c(v) = -8*v**4 - 14*v**3 - 26*v**2 + 126*v - 22. Let z(t) = -6*c(t) - 7*j(t). Let z(h) = 0. What is h?
-8, 1
Suppose 38*k + 5540 - 5692 = 0. What is o in -8*o**2 - 6*o**k - 12*o**3 - 20/9*o - 2/9 = 0?
-1, -1/3
Let m(n) = -7*n**4 + 616*n** | {
"pile_set_name": "DM Mathematics"
} |
hich is bigger: b or u?
b
Suppose 9*s = 11 - 65. Let q be 10/(-210) + s/21. Suppose 21 = 2*k + 5*g, 18 = 3*k + 2*k + g. Which is smaller: q or k?
q
Let b(x) = 5*x**3 + x**2 - 5*x + 4. Let l be b(1). Suppose -2*i = l*t - 729, 715 = 5*t - 0*i - 5*i. Which is bigger: t or 143?
t
Let d be 1/(-2)*(-76)/(-57). Suppose 0 = 5*w - 3*b - 163, w + 2*b = 3*b + 33. Let a = w - 45. Which is greater: d or a?
d
Suppose 3*h = 0, 5*p - 108 = -2*h - 13. Suppose 0 = -6*g - 159 - 3. Let w = g - p. Is w bigger than -46?
False
Let o(b) = -b**2 + 15*b - 9. Let c be o(11). Let p = 108 - 73. Is c at most as big as p?
True
Suppose -5*x - v = -2062, -98*v + 101*v - 1632 = -4*x. Which is greater: x or -15?
x
Suppose 47*s = 1487 + 19757. Let f = -451 + s. Is 4/7 at most as big as f?
True
Let t be ((27/12)/3)/((-110)/32). Let g be 0*(2 + (-77)/44). Is t bigger than g?
False
Suppose 672 = 4*f + g, 130 = f + 4*g - 38. Let w = f + -168. Let l be (-38)/(-36) + 2/(-4). Is l at most w?
False
Let n = -16 + 15. Let f be 2/(-14) + (-479)/(-21). Let c = f - 23. Which is greater: n or c?
c
Let p(h) = h + 9. Let j be p(-4). Let z(l) = -l**3 - 17*l**2 + 14*l - 58. Let o be z(-18). Let w = o + j. Which is greater: w or 21?
21
Let t = -10114 + 394634/39. Are 4 and t equal?
False
Let f = -45.029 - -45. Let t = f + 17.029. Let q = t + -17. Which is greater: q or 1.5?
1.5
Let w = -3 - -3. Let s(v) = -2*v + 2. Let d be s(w). Suppose 8*a = d + 6. Is a at least as big as -2/47?
True
Let a = 13021 + -716179/55. Let g = a - 922/55. Is -18 less than or equal to g?
True
Let d be (-462)/(-63) - (-8)/((-72)/63). Which is bigger: d or 7213?
7213
Let f = -0.3458 + 0.2358. Is -2/71 greater than f?
True
Suppose 55*v = 109*v + 71*v - 160000. Which is smaller: v or 1281?
v
Let h = -4766 - -4754. Is 96 at least h?
True
Let w = 72773/30 + -14557/6. Is -2/1131 > w?
True
Let u(j) = j**2 + j - 15. Let d be u(4). Suppose -2*g - 2*g + 421 = 5*m, -4*m = -d*g + 557. Let c = -109 + g. Which is smaller: c or 8/9?
c
Let x be 2934/420 + -5 - 2. Let z be 200/(-84) - 0 - -2. Let y = z + -2/7. Is y greater than x?
False
Let k = 512 - 869. Let n be (-28)/(-42)*(k + 0). Is n < -239?
False
Let g(d) = -29*d - 41. Let o be g(-1). Let m be -4 + 1 - (o + 12 + -5). Is m not equal to 46?
True
Suppose 0*q - 81 = -3*h - q, -2*q = 3*h - 78. Let s be 5 + 187/(-44) - 1122/(-40). Which is greater: h or s?
s
Let b be -1 + 4 - (2/(-1) + 12455). Let j be 5/6 - (-10275)/b. Is 0 greater than j?
False
Let k be (-4 - (11 - -13))/569. Which is bigger: -1 or k?
k
Let p = 26.98 - -0.02. Let l = p + -29. Let h = 65 + -67. Is h less than or equal to l?
True
Suppose 2*g + 7*z = 24 + 44, 2*g - 2*z = 104. Let c = 1475/3 + -9347/21. Which is smaller: c or g?
c
Suppose 1881 = -3*o - g, -178 = o - 2*g + 456. Let q = -1663 + 1035. Is q greater than or equal to o?
True
Let g = 198920 + -198887. Let r = -0.2 + -0.8. Which is smaller: g or r?
r
Let c = -3174.984 + 3175. Is -0.65 less than c?
True
Let r(d) = -15*d**2 - 6*d + 15. Let t be r(2). Which is smaller: t or -35?
t
Let c = -883/132 - 2/33. Let x = 85 + -165. Let y be (-64)/x + 34/(-5). Which is smaller: y or c?
c
Let q be 30/8*(20704/48440 + 30/(-70)). Do q and -1 have the same value?
False
Suppose -151*g + 147*g = 0. Suppose 9*b + 9 = -g*b. Let c be (-2)/12*(-4)/123. Which is smaller: b or c?
b
Suppose 4*q - 5*i - 35 = 0, 0*q = -5*q + 4*i + 55. Suppose 2*f + 10*d = 7*d - q, -3*d = -3*f - 15. Is f smaller than -22/3?
False
Let k = 5 + 2. Suppose -19*d - d = -660. Suppose 38*x = d*x + 10. Is x at least as big as k?
False
Suppose 4*m - m = -4*p + 9, -5*p + 4*m + 19 = 0. Let z be (-9)/p*(-10)/3. Let n be 3220/253 - 1*(-6)/22. Is n bigger than z?
True
Let m be 28519 - (0 + 0)/(-1). Let b be 2/(-12)*-2 - m/237. Which is smaller: -121 or b?
-121
Let g = 1564 + -1940. Is -371 at least as big as g?
True
Suppose -91*f + 24 - 115 = 0. Which is greater: 1/801 or f?
1/801
Let x = 5.2 + -5.146. Let c = x + -14.254. Let t = c - -4.2. Are t and 0.2 non-equal?
True
Let t be (8/18)/((-828)/972 - -1). Let u = 72878/39393 - -8/4377. Is u less than t?
True
Suppose -5*z + 124 = -3*a, 5*a + 56 = 3*a - 2*z. Let h be 4/(-6) + (-2530)/a. Let o be (4 + (-298)/h)*2. Which is greater: -0.1 or o?
o
Let p = 460 - 471. Let c(b) = 11*b**2 - b. Let w be c(-1). Let q be 326/(-30) + w/(-90). Is p not equal to q?
False
Let k = 0.456 - 488.456. Is 1 at most k?
False
Suppose -88*j = -85*j + 507. Let v be j/22 - (-2 - 5/(-10)). Is v <= -6?
True
Let f(o) = -o**3 + 2*o**2 - 5*o + 5. Let h(j) = -j**2 + 2*j. Let s(x) = -f(x) - 5*h(x). Let v be s(-4). Let z = -2/61 + 264/4331. Which is smaller: v or z?
v
Let w = 171 + -157. Suppose -19*u + w*u = 50. Is u less than -17?
False
Let q be (-36225)/(-43659) - 1/(-11). Are q and 0 non-equal?
True
Let s be (-328)/10 + 2/(-10). Let l be -1 + (-6)/s + 1. Is 6/11 at most as big as l?
False
Let k = 183 - 189. Is -206 bigger than k?
False
Let q = 0.3 + 0.7. Let a(r) = 15*r - 56. Let u be a(4). Suppose -3*h - x = -333, x = 3*h - u*h + 109. Which is bigger: q or h?
h
Let q be -5*(-3)/(42/(-12) - -5). Let w be (2 - 416/q)/(38/76). Which is bigger: w or -79?
-79
Let r be (5/(50/255))/((-9)/(-6)). Is 83 at least r?
True
Let k = -10.4 - -29.4. Let p = 16.44 + -35.15. Let b = p + k. Which is greater: b or -1/2?
b
Let d be ((-2)/28 - 23389/266) + -8. Is 15/7 less than or equal to d?
False
Let j be (-49)/(-49)*-1*46. Let x = 45 + j. Let v be 2/(-8)*(-6)/4. Is v at least x?
True
Let x be ((-10304)/(-140))/(48/(-120)). Is 1/12 <= x?
False
Let n = 2.254 + 0.197. Let z = 0.549 + n. Which is greater: z or -10/37?
z
Suppose 0 = -98*i + 107*i + 1179. Let j be (5 - i)*(-3)/(-6). Which is smaller: j or 70?
j
Suppose 0*n + 6 = 3*n, 4*f - 324 = 2*n. Let k = -559/7 + f. Let w = -2 + k. Which is smaller: w or 1?
w
Let g be (-14*17)/(((-133)/14)/(-19)). Which is bigger: 1 or g?
1
Let k(r) = 3*r**2 + 19*r + 19. Let d be -1 - (-7)/(35/(-25)). Let l be k(d). Is l smaller than 14?
True
Suppose 5*l - l = x + 19, 0 = -l + 5. Let w be (x + -1*(-2)/(-1))/(-89). Suppose -2*m = 4*j + 5 + 1, 4*m + 3*j + 7 = 0. Do m and w have different values?
True
Let i = -14270 + 128426/9. Is 40/9 >= i?
True
Suppose -6*c + 5987 + 2055 + 682 = 0. Which is smaller: 1460 or c?
c
Let m be (5 - 8*21) + -1. Let v = -162 - m. Which is smaller: 4 or v?
v
Let t = 626 - 628. Let n be t/(18/597) - 5. Is -72 > n?
False
Let q = -11.29 + 5.37. Let g = 356.08 - q. Are -1 and g nonequal?
True
Suppose 0 = 4*n + 22 + 34. Suppose -25*s + 2674 = 11824. Let a = s + 354. Is n >= a?
False
Let q = 357 - 745. Let p = -388 - q. Is p at most as big as -1?
False
Let b = -38620/31 + 1246. Suppose -14*q + 39 = 25. Is b less than q?
True
Let n = -89.66 - -89.6003. Do n and 0.4 have the same value?
False
Let w(l) = -l**3 + 7*l**2 + 20*l - 27. Let d be w(8). Suppose 0 = d*v - 71*v + 168. Is 83 >= v?
False
Let r(d) = d**2 - 2. Let b be r(2). Let s = 45308/165 - 244/33. Let i = s - 268. Is i at most as big as b?
True
Let l be (-66)/(-15) + (3 - 3). Let d(h) = -6*h - 44. Let y be d(-8). Let t(v) = 2*v - 4. Let j be t(y). Is l less than j?
False
Suppose 0 = -42*o + 72 - 114. Which is smaller: o or -17/251?
o
Let a = -975.9 + 186.9. Let v = a - -790. Is v smaller than -5/56?
False
Suppose -z - 2*w + 4 = 0, 2*z + 3*w + 2*w = 7. Suppose -4*h - 18 = z. Is h smaller than -12?
False
Let n = -537 + 624. Let u = n + -211. Which is greater: -125 or u?
u
Let x be (-4)/(-20) + -3 + (-52)/(-20). Suppose -2*k - 3*p = 4 - 13, -2*p = -3*k + 33. Suppose -k = 3*m + 2*m - 2*y, 0 = m + 3*y - 5. Which is bigger: m or x?
x
Suppose -4*g = -0*z + 3*z + 18, z = 3*g + 7. Let l be ((-2)/((-16)/(-4))*-8)/2. Suppose 2*p + 3*h = -3, 5*p + 3 = l*h + 5. Is g greater than p?
False
Let n = -4994 + 1433276/287. Suppose -w + 1550 = -5*a, -4*a - 3*w = a + 1550. Let b = a + 310. Is n at least as big as b?
False
Let s be (-6)/18 - (-40)/12. Let g(h) = -12*h - 10. Let v be g(5). Let z be (-2*(-5)/v)/(s/2). Is z at most 0?
True
Let d be 5 - -1*(4 + 14914/(-1658)). Which is smaller: d or 1?
d
Let z(i) = 945*i - 5693. Let t be z(6). Is t smaller than -24?
False
Let u be (-37 + 32)*(91 - -1). Let r be (40/u)/(2 - 0). Which is smaller: r or 0?
r
Suppose -77*m + 76*m = w + 1, -w = 3*m + 7. Let s be 4/(-10) - 83/5. Let y = 6 + s. D | {
"pile_set_name": "DM Mathematics"
} |
is the highest common divisor of 20 and q?
10
Let u be (3 + -39 + -3)*(-1)/1. Calculate the highest common factor of u and 26.
13
Suppose -4*w + 2*m = -154, 5*m - 68 = -2*w + 3*m. Let i = w - 24. Calculate the highest common factor of i and 117.
13
Let k be 6/(-16) - (-4365)/120. What is the highest common divisor of k and 12?
12
Suppose 3*k + 2*y + 4 = 7*k, k - 5*y = -8. Suppose 5*p = k*p + 135. Let l be p/6*(-24)/(-10). Calculate the greatest common factor of l and 144.
18
Let r(t) = 2*t**2 + 12*t + 12. Let h(q) = q**2 + 6*q + 6. Let p(v) = 5*h(v) - 2*r(v). Let b be p(-5). Calculate the greatest common factor of 4 and b.
1
Suppose 4*t = -d + 15, 3*t + 31 = d - t. Let u = 31 - d. Calculate the highest common factor of u and 64.
8
Let z be (42/24)/((-2)/8). Let n = z + 4. Let h(v) = -v**3 + v**2 + 3*v - 4. Let l be h(n). Calculate the greatest common factor of 207 and l.
23
Let t(b) = -5*b - 12. Let w be t(-7). Let j = w - 16. What is the highest common factor of 49 and j?
7
Let x = 209 - -64. Let k be x/15 + 3/(-15). Suppose 0*y + 2*y = 180. What is the greatest common divisor of y and k?
18
Suppose 2*i + 3*i + 2 = -4*c, 0 = -4*i - 8. Suppose 3*g = c*w + 124, 3*w - 42 = -g + 4*w. What is the highest common divisor of g and 16?
8
Let f be -2*4/8*13. Let o = 39 - f. Calculate the greatest common factor of 13 and o.
13
Suppose -2*b + 3 = -123. Calculate the greatest common factor of b and 9.
9
Let u(h) = -3*h**3 - 11*h**2 + 5*h + 10. Let q be u(-4). Calculate the greatest common factor of 24 and q.
6
Let p = -3 + 5. Let h = 13 - p. Calculate the highest common factor of h and 77.
11
Let x(r) = -r**2 + 6*r - 3. Let k be x(5). Suppose 2*d - 15 = -4*n + 1, k*d = n + 21. Calculate the greatest common divisor of d and 2.
2
Let y = -24 - -76. What is the greatest common factor of 78 and y?
26
Let d(k) = -3*k + 48. Let m be d(10). Calculate the greatest common divisor of 12 and m.
6
Let i(c) = -c - 1. Let y be i(-5). Let k(o) = 7*o - o**2 - 2 + 0*o**2 + 2*o**2. Let z be k(-8). What is the highest common factor of y and z?
2
Let o(c) = -c + 1. Let j(r) = -r**2 + 5*r - 7. Let v be j(5). Let z be o(v). What is the highest common divisor of 4 and z?
4
Suppose -t = -31 + 10. Let g be 4*(-2 - (-52)/16). Suppose -2*u + 22 = r, 5*r = 2*r - g*u + 62. Calculate the greatest common factor of t and r.
7
Let f = 62 + -26. Suppose -2*d + 4*d + 3*g - 96 = 0, -2*d = -3*g - 120. Calculate the highest common factor of d and f.
18
Let h(v) = -v**3 + 5*v**2 + 2*v - 6. Let u be h(2). Calculate the greatest common factor of 2 and u.
2
Let u be 2/5 - 3639/(-15). What is the greatest common factor of u and 27?
27
Let a be 4 - (0 + 3) - 0. Calculate the greatest common divisor of 8 and a.
1
Suppose 3*y + t = 49, -3*t + 2 = -t. Calculate the greatest common divisor of 8 and y.
8
Suppose 0*x - 870 = -6*x. Calculate the greatest common divisor of 58 and x.
29
Suppose 4*v - 177 + 37 = 0. Suppose 3*n + 1 = 4. Let x be (-10)/(-2) - (-1 - n). What is the highest common divisor of v and x?
7
Let h be -1*(1 - 0) - -8. Let o be (-12)/66 - (-46)/11. Let s be 55 + 2/o*2. What is the greatest common divisor of s and h?
7
Let p(c) = -59*c**3 + 2*c**2 + 2*c + 1. Let r be p(-1). What is the greatest common divisor of r and 15?
15
Let u(b) = 2*b**2 + 2*b - 2. Let w be u(3). Suppose 0*m - 2*m = -2*t - 36, -m = -2*t - w. Calculate the greatest common factor of 35 and m.
7
Suppose -9 = 4*f - 25. Let g = 11 - f. Calculate the highest common divisor of g and 7.
7
Suppose 0 = -4*w + 2*s + 42, 0*w = w + 5*s - 16. Let b = w + -25. Let c be (-94)/b + 12/42. What is the highest common factor of 28 and c?
7
Suppose q = -4*q + 4*t + 37, 2*q - 20 = -t. What is the highest common factor of 180 and q?
9
Suppose 2*m - 67 = -3*l + 5, 72 = 3*l + m. Calculate the greatest common divisor of 48 and l.
24
Let s be 5/(-40) + 513/8. What is the highest common factor of 8 and s?
8
Let f = 29 - 15. Suppose -3*c - f = 142. Let g be (-4)/(-14) + c/(-14). Calculate the greatest common factor of 36 and g.
4
Let h(k) = k + 6. Let u be h(0). Let w = u - 4. What is the highest common divisor of w and 4?
2
Let b be ((-1)/(-1))/(9/(-279)). Let j = 47 + b. Calculate the highest common divisor of 16 and j.
16
Let l = 18 - 28. Let n be 21 + (-3)/3 + 1. Let j = l + n. Calculate the highest common factor of 22 and j.
11
Suppose 0 = v - 0 - 4. Suppose -3*k = -v - 5. Suppose -k*s - 72 = -7*s. What is the highest common divisor of 27 and s?
9
Let v(p) be the second derivative of p**5/20 - 2*p**4/3 + 9*p**2/2 + 3*p. Let h be v(8). What is the highest common divisor of h and 1?
1
Let q = -17 - -24. What is the greatest common divisor of q and 49?
7
Suppose 8*r + 2*d = 12*r - 168, -d = -3*r + 126. What is the greatest common factor of 105 and r?
21
Suppose 2*s + 4*s - 108 = 0. What is the greatest common divisor of 12 and s?
6
Suppose -p + 5*d = 3*d - 101, 5*d = -5*p + 535. What is the greatest common factor of 42 and p?
21
Let b(k) = k**3 - 4*k**2 + 2*k + 2. Let f be b(3). Let r be (f - 4/(-10))*-5. Let w be -2 - (-1)/(r/42). Calculate the highest common factor of 96 and w.
12
Suppose -2*l = 5*p + 258, 4*p - 3*l - 2*l + 180 = 0. Let s = -14 - p. Calculate the greatest common factor of 54 and s.
18
Let o be (-4)/(-12) - (-1887)/18*2. Calculate the highest common divisor of 21 and o.
21
Let j be (-2)/(-6) - (-160)/24. Let c(g) = 2*g**2 - 9*g + 4. Let k be c(j). What is the greatest common factor of k and 26?
13
Let s = 66 + -39. What is the highest common divisor of s and 18?
9
Suppose -s + 3*l + 2*l - 4 = 0, -20 = 5*s + l. Let f be 1 + 2 - 208/s. Calculate the highest common factor of f and 11.
11
Let f be (18/8)/1*4. Suppose 3*m = 4*m - f. Let b(v) = v - 9. Let q be b(10). Calculate the highest common divisor of q and m.
1
Suppose 0 = 5*l - 38 + 28. Calculate the highest common divisor of 20 and l.
2
Let v = -16 - -33. Suppose 2*y + 4*r - v = 3, 5*r = -2*y + 24. Suppose -2*h - 10 = -7*h. Calculate the highest common divisor of h and y.
2
Suppose -12 + 16 = 2*h. What is the greatest common divisor of 8 and h?
2
Suppose -3*b + 0*b = 0. Suppose b = 5*j + 10 + 5. Let k be 4/j*27/(-2). What is the greatest common factor of k and 144?
18
Let w be ((-5)/10)/(2/(-4)). Suppose 2*t - 26 = -5*g, g = 3*t - 6 + w. What is the greatest common divisor of 1 and g?
1
Suppose 0 = j - 0 - 5. Suppose -3*g + 8 = j*m - 12, -4*m + 3*g = -43. What is the greatest common divisor of m and 28?
7
Let f(g) = 3*g**2 - g - 1. Let w be f(-1). What is the highest common divisor of w and 3?
3
Let z be ((-18)/(-8))/((-12)/(-128)). Suppose 2*q = 3*b + 53, 3*b = -q + 2*b + z. What is the greatest common divisor of 5 and q?
5
Suppose 2*l - 3*l + 4*m = 0, 0 = m - 3. Suppose -2 + l = 5*g. Let t = g + 15. What is the greatest common factor of 136 and t?
17
Let b be 7/(-21) + 632/6. Calculate the greatest common factor of b and 21.
21
Suppose 7*n = 4*n + 2*v + 31, 0 = v + 5. Calculate the highest common divisor of n and 49.
7
Let q(a) be the first derivative of 16*a**3/3 + 3*a**2/2 - 3*a - 2. Let j be q(-3). What is the greatest common factor of 12 and j?
12
Suppose 4*n - 2*w - 70 = 0, -3*w + 0*w + 15 = 2*n. What is the highest common divisor of n and 195?
15
Suppose 1 - 6 = -5*f. Let w = f + -1. Suppose w = 5*h - 22 - 23. Calculate the highest common divisor of h and 99.
9
Let f = 127 + -52. Calculate the greatest common divisor of f and 30.
15
Suppose 0 = 3*c + c - 32. Suppose 2*k + c = -2*k, -2*n + 5*k = -18. Suppose -v + 2*f + 118 = n*v, 5*f - 2 = -v. What is the greatest common factor of 11 and v?
11
Let j(s) = -s**2 - 6*s. Let f be j(-5). Let a be 73/f + (-2)/(-5). Let r be 1/4 + (-118)/(-8). What is the highest common factor of r and a?
15
Let s(d) = d**3 - 5*d**2 + 2*d. Let b be s(6). What is the greatest common factor of b and 6?
6
Let c be -2 + 1 - -3*2. Let h = 7 - c. Suppose 2*s + 144 = 5*x, -h*x = -x - s - 30. What is the greatest common factor of x and 4?
4
Let c = -88 - -124. Let i(b) = b**2 - 17*b + 4. Let z be i(0). What is the greatest common factor of z and c?
4
Suppose 0*f + 10 = 5*f. Suppose 5*q - 161 + 2 = f*y, -117 = -4*q + 5*y. Calculate the highest common factor of q and 11.
11
Let t be ((-2)/(-6))/((-7)/(-126)). Suppose 0 = t*l - 4*l. Suppose l = | {
"pile_set_name": "DM Mathematics"
} |
3 is divided by 1148.
1139
Calculate the remainder when 30543 is divided by 40.
23
What is the remainder when 32062 is divided by 11?
8
Calculate the remainder when 156448 is divided by 2.
0
Calculate the remainder when 5604 is divided by 5469.
135
What is the remainder when 7633 is divided by 3765?
103
Calculate the remainder when 13848 is divided by 1621.
880
What is the remainder when 11054 is divided by 4525?
2004
What is the remainder when 38574 is divided by 167?
164
Calculate the remainder when 85233 is divided by 85160.
73
What is the remainder when 9699 is divided by 59?
23
Calculate the remainder when 200 is divided by 101.
99
What is the remainder when 1475 is divided by 694?
87
Calculate the remainder when 1721 is divided by 396.
137
Calculate the remainder when 434861 is divided by 137.
23
What is the remainder when 1430732 is divided by 48?
44
Calculate the remainder when 731120 is divided by 146221.
15
What is the remainder when 142217 is divided by 52?
49
Calculate the remainder when 1070 is divided by 103.
40
Calculate the remainder when 1549074 is divided by 4.
2
What is the remainder when 20399 is divided by 462?
71
What is the remainder when 11573 is divided by 37?
29
Calculate the remainder when 6724 is divided by 419.
20
Calculate the remainder when 38434 is divided by 193.
27
Calculate the remainder when 475 is divided by 118.
3
What is the remainder when 7253 is divided by 3605?
43
What is the remainder when 2860 is divided by 239?
231
What is the remainder when 36766 is divided by 51?
46
What is the remainder when 115599 is divided by 1484?
1331
Calculate the remainder when 86036 is divided by 935.
16
Calculate the remainder when 4894 is divided by 676.
162
Calculate the remainder when 147412 is divided by 158.
156
What is the remainder when 1219369 is divided by 14?
11
Calculate the remainder when 807 is divided by 220.
147
What is the remainder when 169015 is divided by 37?
36
Calculate the remainder when 3543 is divided by 1172.
27
What is the remainder when 4150 is divided by 120?
70
What is the remainder when 4104 is divided by 1705?
694
Calculate the remainder when 10157 is divided by 112.
77
What is the remainder when 68602 is divided by 512?
506
What is the remainder when 11237509 is divided by 47?
44
What is the remainder when 27 is divided by 3?
0
Calculate the remainder when 16144 is divided by 1558.
564
Calculate the remainder when 328833 is divided by 328830.
3
What is the remainder when 5998 is divided by 25?
23
Calculate the remainder when 293219 is divided by 54.
53
What is the remainder when 843 is divided by 38?
7
What is the remainder when 28820 is divided by 104?
12
Calculate the remainder when 24882 is divided by 6206.
58
What is the remainder when 55807 is divided by 7971?
10
Calculate the remainder when 782861 is divided by 60.
41
Calculate the remainder when 180392 is divided by 45078.
80
Calculate the remainder when 102826 is divided by 12.
10
What is the remainder when 10644 is divided by 1709?
390
Calculate the remainder when 166104 is divided by 436.
424
What is the remainder when 30967 is divided by 122?
101
What is the remainder when 932 is divided by 49?
1
What is the remainder when 1341819 is divided by 230?
229
What is the remainder when 42117 is divided by 221?
127
Calculate the remainder when 1738 is divided by 25.
13
What is the remainder when 33439 is divided by 16?
15
What is the remainder when 1074 is divided by 76?
10
Calculate the remainder when 216984 is divided by 13.
1
What is the remainder when 2520 is divided by 418?
12
What is the remainder when 17023 is divided by 88?
39
What is the remainder when 46594 is divided by 2588?
10
Calculate the remainder when 11875 is divided by 45.
40
What is the remainder when 9238 is divided by 9?
4
Calculate the remainder when 25302 is divided by 1112.
838
Calculate the remainder when 5319 is divided by 502.
299
What is the remainder when 31242 is divided by 15?
12
What is the remainder when 3048 is divided by 1000?
48
Calculate the remainder when 12258 is divided by 100.
58
What is the remainder when 3181 is divided by 1243?
695
What is the remainder when 15556 is divided by 7772?
12
What is the remainder when 33798 is divided by 463?
462
What is the remainder when 255917 is divided by 10236?
17
Calculate the remainder when 933 is divided by 308.
9
What is the remainder when 13146 is divided by 2139?
312
What is the remainder when 1398 is divided by 37?
29
Calculate the remainder when 3754 is divided by 3712.
42
Calculate the remainder when 7908 is divided by 1592.
1540
What is the remainder when 54405 is divided by 18129?
18
What is the remainder when 37925 is divided by 301?
300
Calculate the remainder when 751 is divided by 393.
358
What is the remainder when 14501 is divided by 156?
149
Calculate the remainder when 70378 is divided by 2815.
3
Calculate the remainder when 2722 is divided by 272.
2
Calculate the remainder when 83061 is divided by 41524.
13
Calculate the remainder when 337309 is divided by 454.
441
What is the remainder when 103118 is divided by 889?
883
Calculate the remainder when 1706 is divided by 427.
425
What is the remainder when 30411 is divided by 707?
10
What is the remainder when 2823 is divided by 471?
468
Calculate the remainder when 1911762 is divided by 637252.
6
What is the remainder when 72709 is divided by 89?
85
What is the remainder when 2992 is divided by 2991?
1
What is the remainder when 91724 is divided by 78?
74
Calculate the remainder when 2536 is divided by 45.
16
Calculate the remainder when 16503 is divided by 1651.
1644
What is the remainder when 59321 is divided by 29638?
45
What is the remainder when 76672 is divided by 19168?
0
What is the remainder when 23372 is divided by 163?
63
Calculate the remainder when 2741 is divided by 495.
266
What is the remainder when 9857 is divided by 124?
61
What is the remainder when 162631 is divided by 27104?
7
What is the remainder when 1926 is divided by 594?
144
What is the remainder when 206496 is divided by 926?
924
What is the remainder when 3996 is divided by 809?
760
Calculate the remainder when 19427 is divided by 379.
98
What is the remainder when 1355 is divided by 689?
666
Calculate the remainder when 38164 is divided by 250.
164
Calculate the remainder when 12008 is divided by 3995.
23
Calculate the remainder when 835 is divided by 826.
9
What is the remainder when 24490 is divided by 93?
31
What is the remainder when 16446 is divided by 36?
30
What is the remainder when 179482 is divided by 777?
772
What is the remainder when 21106 is divided by 449?
3
What is the remainder when 2156 is divided by 36?
32
What is the remainder when 95341 is divided by 13?
12
Calculate the remainder when 6250 is divided by 3116.
18
What is the remainder when 130434 is divided by 9?
6
Calculate the remainder when 4787 is divided by 4785.
2
Calculate the remainder when 2588178 is divided by 380.
378
What is the remainder when 287010 is divided by 208?
178
Calculate the remainder when 28016 is divided by 4.
0
What is the remainder when 63973 is divided by 295?
253
Calculate the remainder when 58856 is divided by 109.
105
What is the remainder when 1991 is divided by 24?
23
What is the remainder when 4737 is divided by 2366?
5
What is the remainder when 26002 is divided by 8621?
139
Calculate the remainder when 77974 is divided by 553.
1
Calculate the remainder when 16351 is divided by 221.
218
Calculate the remainder when 9894 is divided by 330.
324
What is the remainder when 3979 is divided by 249?
244
What is the remainder when 4384 is divided by 258?
256
What is the remainder when 733560 is divided by 32?
24
Calculate the remainder when 2464 is divided by 14.
0
What is the remainder when 97741 is divided by 22?
17
Calculate the remainder when 2019 is divided by 92.
87
What is the remainder when 11156 is divided by 72?
68
Calculate the remainder when 71037 is divided by 71001.
36
What is the remainder when 9417 is divided by 214?
1
Calculate the remainder when 91856 is divided by 147.
128
What is the remainder when 63571 is divided by 724?
583
Calculate the remainder when 29484 is divided by 500.
484
Calculate the remainder when 21457 is divided by 1983. | {
"pile_set_name": "DM Mathematics"
} |
00007
Round 0.0000008939615 to 6 decimal places.
0.000001
What is 0.00101111861 rounded to seven decimal places?
0.0010111
What is 0.00246954895 rounded to seven decimal places?
0.0024695
What is 43792.82922 rounded to the nearest ten?
43790
What is -46096.6149 rounded to the nearest 100?
-46100
Round 1.85980688 to two dps.
1.86
Round 42.9755965 to 3 dps.
42.976
What is -0.0088783912 rounded to three dps?
-0.009
What is -0.00229137949 rounded to five decimal places?
-0.00229
Round 1717545210 to the nearest one hundred thousand.
1717500000
Round -0.0000161811643 to six dps.
-0.000016
Round 0.0000006089362111 to 7 decimal places.
0.0000006
Round 0.0062103836 to five decimal places.
0.00621
Round 941843560 to the nearest 1000000.
942000000
Round 0.0000324311614 to six decimal places.
0.000032
Round 2548592.952 to the nearest one thousand.
2549000
Round 10219962.87 to the nearest ten thousand.
10220000
Round 0.50085104 to 1 decimal place.
0.5
Round -38.320019 to 2 dps.
-38.32
What is 39.33344682 rounded to three decimal places?
39.333
What is 0.0150375408 rounded to six decimal places?
0.015038
What is -0.014595269 rounded to three dps?
-0.015
Round 1977458240 to the nearest 1000000.
1977000000
Round 0.46108973 to 4 dps.
0.4611
Round 622101.0168 to the nearest 100000.
600000
What is -400.85676 rounded to one decimal place?
-400.9
What is -59.187538 rounded to zero decimal places?
-59
What is -0.000143382054 rounded to 6 dps?
-0.000143
Round -4.342727403 to two decimal places.
-4.34
Round -0.00114006017 to 7 dps.
-0.0011401
What is 0.352837321 rounded to 3 decimal places?
0.353
Round 9.1972995 to the nearest integer.
9
What is -304175001.2 rounded to the nearest one million?
-304000000
Round -0.0045596818 to six dps.
-0.00456
Round -0.05355613756 to three decimal places.
-0.054
What is 8590.57656 rounded to the nearest one thousand?
9000
What is 0.00360814853 rounded to 6 dps?
0.003608
What is -2948333280 rounded to the nearest 1000000?
-2948000000
What is -0.0000887768539 rounded to 6 decimal places?
-0.000089
Round -0.32109414 to 4 decimal places.
-0.3211
Round -0.0054427301 to five decimal places.
-0.00544
Round -8486.3938 to the nearest one hundred.
-8500
What is 853372110.1 rounded to the nearest 100000?
853400000
What is -13.79472607 rounded to 2 dps?
-13.79
Round -906796.8 to the nearest ten thousand.
-910000
What is 0.03703660794 rounded to five dps?
0.03704
What is -57289618 rounded to the nearest one hundred thousand?
-57300000
What is 7781816.2 rounded to the nearest one million?
8000000
Round -52.5323439 to one decimal place.
-52.5
Round -0.101189709 to 5 dps.
-0.10119
Round -0.00032421048 to 6 dps.
-0.000324
What is 43688676 rounded to the nearest one million?
44000000
What is -0.00006271623 rounded to 5 dps?
-0.00006
Round -3871807087 to the nearest one hundred thousand.
-3871800000
Round -424.9968176 to the nearest one hundred.
-400
Round 0.0004955988424 to four decimal places.
0.0005
What is -0.176911671 rounded to one decimal place?
-0.2
What is -0.000105799427 rounded to six dps?
-0.000106
What is -953212.7 rounded to the nearest 100000?
-1000000
Round -9696.6413 to the nearest 10.
-9700
What is -750047271.2 rounded to the nearest 10000?
-750050000
What is 0.0700362073 rounded to 6 dps?
0.070036
What is -0.000000589058428 rounded to seven dps?
-0.0000006
Round -0.0076372883 to 3 dps.
-0.008
What is 21492585.73 rounded to the nearest ten thousand?
21490000
Round -394.1466721 to two dps.
-394.15
What is 1.025305593 rounded to 1 decimal place?
1
What is 13.01421667 rounded to two dps?
13.01
What is 63131.372 rounded to the nearest ten?
63130
What is 22.92329661 rounded to one dp?
22.9
What is 316.218885 rounded to 2 decimal places?
316.22
Round -18695.25119 to the nearest 100.
-18700
Round 2236445.288 to the nearest 100000.
2200000
Round -1286759.613 to the nearest one thousand.
-1287000
What is -10.87099851 rounded to the nearest 10?
-10
Round 0.753497329 to 5 dps.
0.7535
What is -0.00000113801141 rounded to 6 dps?
-0.000001
Round 160347136 to the nearest 100000.
160300000
What is 109782191 rounded to the nearest one hundred thousand?
109800000
Round -10189741.31 to the nearest one million.
-10000000
What is 478206388 rounded to the nearest 100000?
478200000
What is 584025097 rounded to the nearest 100000?
584000000
Round -4112.630742 to the nearest 100.
-4100
What is -2654751.62 rounded to the nearest one thousand?
-2655000
What is -1.8512967615 rounded to 2 dps?
-1.85
What is -117316571.82 rounded to the nearest ten thousand?
-117320000
What is 0.000018545952 rounded to 5 dps?
0.00002
Round 0.0012582423488 to 5 decimal places.
0.00126
Round 633772576 to the nearest one hundred thousand.
633800000
Round 0.00192004143 to seven dps.
0.00192
Round -0.00567808959 to 6 dps.
-0.005678
What is -35.4978695 rounded to one decimal place?
-35.5
What is 98282092.1 rounded to the nearest ten thousand?
98280000
What is 1819974.8455 rounded to the nearest ten?
1819970
Round -9281725.38 to the nearest 10000.
-9280000
What is -65690088.2 rounded to the nearest 1000000?
-66000000
What is 2.254557 rounded to the nearest ten?
0
What is -1.875367428 rounded to one decimal place?
-1.9
What is 14377960.98 rounded to the nearest 1000?
14378000
Round -62130790.2 to the nearest 100000.
-62100000
What is -155.751151 rounded to zero dps?
-156
Round -149436.042 to the nearest one thousand.
-149000
Round -15.486268 to the nearest 10.
-20
Round -20981589640 to the nearest 1000000.
-20982000000
Round 0.1146831323 to 3 decimal places.
0.115
Round -23520305 to the nearest 10000.
-23520000
Round 0.79316548 to the nearest 10.
0
What is -0.000011943203 rounded to six dps?
-0.000012
Round 10546262.4 to the nearest ten thousand.
10550000
What is -9347858.64 rounded to the nearest 100000?
-9300000
Round -33463.51563 to the nearest one hundred.
-33500
Round 0.20093843 to one decimal place.
0.2
What is -0.0033627228 rounded to 3 dps?
-0.003
What is -16961486.7 rounded to the nearest 1000?
-16961000
Round 28.1903375 to the nearest 10.
30
What is -975168701 rounded to the nearest one hundred thousand?
-975200000
Round 0.0214982616 to four decimal places.
0.0215
What is -0.00000609382439 rounded to six decimal places?
-0.000006
Round 3.15967367 to 3 decimal places.
3.16
Round 2371889330 to the nearest one million.
2372000000
What is 2.77200642 rounded to 3 decimal places?
2.772
Round 24826.86 to the nearest one thousand.
25000
What is 0.3895831056 rounded to 4 decimal places?
0.3896
Round 480.55888 to one dp.
480.6
Round -627122540 to the nearest 1000000.
-627000000
Round 3.5304483 to four decimal places.
3.5304
Round -0.000085657278 to five dps.
-0.00009
What is 24.4762198 rounded to one decimal place?
24.5
What is 52841.9949 rounded to the nearest 10000?
50000
What is 73.2065798 rounded to one dp?
73.2
What is 14.93000923 rounded to the nearest integer?
15
Round 0.0000044052831 to 7 decimal places.
0.0000044
Round -2316838.629 to the nearest one thousand.
-2317000
What is -5536250.2 rounded to the nearest 1000000?
-6000000
What is 3.07838038 rounded to three dps?
3.078
What is 129.523072 rounded to the nearest integer?
130
Round 0.0000514338282 to 6 dps.
0.000051
Round 5387084117 to the nearest one million.
5387000000
What is 6182746.3 rounded to the nearest 100000?
6200000
What is 2181631125.5 rounded to the nearest 1000000?
2182000000
Round 870680768 to the nearest one million.
871000000
What is -93.823352 rounded to two decimal places?
-93.82
What is -36859.607 rounded to the nearest 1000?
-37000
Round -17.721307889 to 1 dp.
-17.7
Round -1.162151816 to one decimal place.
-1.2
Round 0.86997344 to two decimal places.
0.87
What is -16212027.28 rounded to the nearest 1000?
-16212000
Round -8.4599381 to two decimal places.
-8.46
What is -0.20918135 rounded to 2 decimal places?
-0.21
Round 8559.71518 to the nearest 10.
8560
What is -275.9613153 rounded to the nearest one hundred?
-300
Round -404486.63 to the nearest 100.
-404500
What is -0.000410796602 rounded to six dps?
-0.000411
What is -857545600 rounded to the nearest 1000000?
-858000000
Round -880034.153 to the nearest ten thousand.
-880000
What is 17270.17495 rounded to the nearest integer?
17270
What is -13504.920 | {
"pile_set_name": "DM Mathematics"
} |
53*o - 1094. Let m(i) = -5*g(i) - 2*j(i). Factor m(x).
-2*(x - 286)*(x - 1)
Let x(q) be the first derivative of -5*q**6/6 - 5*q**5 + 105*q**4/4 - 115*q**3/3 + 20*q**2 + 2574. What is c in x(c) = 0?
-8, 0, 1
Determine r, given that -9*r**2 - 223*r**3 - 220*r**3 - 9*r**2 + 18*r + 659*r**3 - 224*r**3 = 0.
-3, 0, 3/4
Let m be 32/14 - (812/98 + -8). Suppose -6*q**2 - 37*q**3 + q**2 - 54*q + 61*q**3 - 4*q**m - 21*q**3 = 0. What is q?
-3, 0, 6
Factor 186*d**3 - 2*d**4 + 0*d**4 - 4024*d**2 + 6273*d + 18432 - 20865*d.
-2*(d - 48)**2*(d - 1)*(d + 4)
Let q = 346539 + -346537. Find v, given that 3/4 - 3/2*v + 3/4*v**q = 0.
1
Let b be 7 - ((-190)/(-20))/((-165)/198). Factor -42/5*j - b + 2/5*j**2.
2*(j - 23)*(j + 2)/5
Let r be (50/4 + -2)*41/(6888/72). Let z(x) be the second derivative of 0*x**2 - 1/15*x**6 - 33*x - r*x**4 - 9*x**3 + 0 - 9/10*x**5. Factor z(i).
-2*i*(i + 3)**3
Solve -3*n**4 + 2*n**5 + 9*n**4 + 850 + 846 - 1698 - 4*n**2 - 6*n + 4*n**3 = 0 for n.
-1, 1
Let c(g) be the first derivative of g**5/100 - 7*g**4/20 + 49*g**3/10 - 3*g**2/2 - 2*g - 61. Let t(i) be the second derivative of c(i). Solve t(m) = 0 for m.
7
Let g = -351 - -329. Let c(y) = -3*y**2 - y + 10. Let f(k) = -16*k**2 - 3*k + 48. Let l(a) = g*c(a) + 4*f(a). Determine m, given that l(m) = 0.
-7, 2
Factor 132 + 21*w**2 - 1/2*w**3 - 305/2*w.
-(w - 33)*(w - 8)*(w - 1)/2
Let p = 9903 - 148544/15. Let q(j) be the second derivative of 28*j - 1/6*j**4 + p*j**6 + 0*j**2 - 1/21*j**7 + 0*j**3 + 1/10*j**5 + 0. Factor q(f).
-2*f**2*(f - 1)**2*(f + 1)
Let s = -359006 - -12564149/35. Let p = -143/5 - s. Solve 2/7*t**4 + 0 + p*t + 6*t**3 - 50/7*t**2 - 6/7*t**5 = 0.
-3, 0, 1/3, 1, 2
Let p(z) be the third derivative of 1/320*z**6 + 0*z**3 - 4*z**2 + 0*z + 1/8*z**4 + 0 + 1/16*z**5 - 1/560*z**7. Factor p(r).
-3*r*(r - 4)*(r + 1)*(r + 2)/8
Find q such that 340/3 - 626/3*q - 4/3*q**3 - 106/3*q**2 = 0.
-17, -10, 1/2
Factor -235/4 + 1/8*x**2 - 37/8*x.
(x - 47)*(x + 10)/8
Let d = -1113626/7 - -159413. Let g = d - 323. Find r, given that -2/7*r + g - 2/7*r**2 = 0.
-2, 1
Let b(s) be the second derivative of 187*s + 0*s**2 + 0 + 70/3*s**3 + 1/3*s**4. Factor b(p).
4*p*(p + 35)
Let f = 568951/101144 + -2/12643. Find x, given that -f*x - 39/8*x**2 - 3/4 = 0.
-1, -2/13
Let q(i) = -i**3 + i**2 + 1. Let t(u) = 3*u**4 - 11*u**3 - 4*u**2 + 24*u - 7. Let s = -317 + 322. Let j(r) = s*q(r) - t(r). Factor j(k).
-3*(k - 2)*(k - 1)**2*(k + 2)
Let d be (-969*2/4)/(35/(-10)). Let t = -138 + d. Factor 3/7*m**4 + 9/7*m**3 + t*m**2 - 6/7 - 9/7*m.
3*(m - 1)*(m + 1)**2*(m + 2)/7
Let y(s) = s**2 + 12*s - 7. Let t = 182 + -179. Let u(z) = 4*z**2 + 58*z - 34. Let f(k) = t*u(k) - 14*y(k). Let f(p) = 0. What is p?
1, 2
Suppose -165 = -20*b - 13*b. Let c(r) be the third derivative of 5/72*r**4 - 1/180*r**b + 0 - 2/9*r**3 + 0*r + 18*r**2. Suppose c(f) = 0. What is f?
1, 4
Let p(s) be the second derivative of s**8/224 + 3*s**7/70 + 3*s**6/20 + s**5/5 + 24*s**2 + 2*s + 66. Let k(m) be the first derivative of p(m). Factor k(y).
3*y**2*(y + 2)**3/2
Let y = -76144 + 228437/3. Factor 10/3*d - 5 + y*d**2.
5*(d - 1)*(d + 3)/3
Let 6/5*s**3 - 18/5*s + 3*s**2 + 0 - 3/5*s**4 = 0. What is s?
-2, 0, 1, 3
Let c = -3007 + 3021. Let l(o) be the first derivative of 25*o**3 + 125/8*o**4 + c + 4*o + 15*o**2. Let l(u) = 0. What is u?
-2/5
Let s(g) = -g + 65 - g - g**2 - 66. Let f(h) = -20*h. Let r(d) = -f(d) + 5*s(d). What is j in r(j) = 0?
1
Let c = -1039 + 1049. Determine f, given that -218*f**5 + 106*f**5 - 98*f**3 + 110*f**5 + c*f**4 + 18*f**4 = 0.
0, 7
Let a(x) = 8*x**3 + 28*x**2 + 80*x + 72. Let y(r) = 9*r**3 + 27*r**2 + 80*r + 74. Let o = -12 + 7. Let g(n) = o*a(n) + 4*y(n). Factor g(f).
-4*(f + 2)**2*(f + 4)
Let j(a) be the second derivative of a**7/336 - 3*a**6/20 + 37*a**5/40 + 33*a**4 + 484*a**3/3 + 82*a. Find r, given that j(r) = 0.
-4, 0, 22
Let f(g) = g**2 + 2*g - 2. Let u be f(-2). Let d be (u + 2)/(-2 + 1 - -3). Solve -z + 1/3*z**2 + d = 0.
0, 3
Let d be 7 + (-12)/54*-120*(-25)/100. Suppose 0 = 2*h - 6*h. Suppose 0*l**2 - 1/3*l**3 + h + d*l = 0. Calculate l.
-1, 0, 1
Let v = 382587 - 382587. Factor -351/2*d**3 + v - 3/2*d**5 - 486*d**2 - 27*d**4 - 486*d.
-3*d*(d + 3)**2*(d + 6)**2/2
Let a = 8/13795 - -23023831/41385. Let m = 567 - a. Factor -16 - 4/3*p**3 + 4/3*p**2 + m*p.
-4*(p - 2)**2*(p + 3)/3
Determine o so that 100*o**2 + 5*o**3 + 35*o**2 + 245*o + 325*o + 440 = 0.
-22, -4, -1
Solve 32*n**2 + 129/4*n + 0 - 1/4*n**3 = 0 for n.
-1, 0, 129
Let r(w) be the first derivative of -2/9*w**3 + 1/12*w**2 - 194 + 2/3*w - 1/24*w**4. Factor r(l).
-(l - 1)*(l + 1)*(l + 4)/6
Suppose 27 + 72 = 9*y. Solve -12*h + y - 6*h + 2*h**2 + 30*h + 19 + 4*h = 0.
-5, -3
Let b be (-2)/24 - (6/(-9) - (-19)/(-228)). Let k(x) be the second derivative of -3*x + b*x**3 - 1/6*x**4 + 0 + 0*x**2. Factor k(i).
-2*i*(i - 2)
Let o(s) = s + 12. Let u be o(12). Let f(x) be the first derivative of 0*x + x**3 + 0*x + 0*x - 3*x - u. Factor f(j).
3*(j - 1)*(j + 1)
Let f(h) be the second derivative of h**4/12 + 134*h**3/3 + 8978*h**2 + 1052*h. Determine l, given that f(l) = 0.
-134
Let d(h) be the second derivative of 2/63*h**4 - 4/105*h**5 - 1/441*h**7 + 1 + 0*h**2 + 1/63*h**6 + 0*h**3 + 3*h. Factor d(m).
-2*m**2*(m - 2)**2*(m - 1)/21
Let q(n) = 54*n - 538. Let c be q(10). Let u(v) be the second derivative of -1/21*v**4 + 1/42*v**6 + 0*v**c + 2/35*v**5 + 0*v**3 + 0 + 30*v. Factor u(j).
j**2*(j + 2)*(5*j - 2)/7
Let l(y) = y**3 + 6*y**2 - 29*y - 72. Let s be l(-2). Factor 1/2*o - 1/2*o**3 - 1 + o**s.
-(o - 2)*(o - 1)*(o + 1)/2
Let x(z) be the second derivative of z**7/126 - 11*z**6/90 + 7*z**5/20 + 35*z**4/36 - 47*z**3/9 + 8*z**2 + z - 2. Determine g, given that x(g) = 0.
-2, 1, 3, 8
Let g(z) be the third derivative of -z**7/1365 + 11*z**6/260 - 61*z**5/390 - 11*z**4/52 + 62*z**3/39 - 130*z**2 + 2*z. Determine p, given that g(p) = 0.
-1, 1, 2, 31
Let f be 0*(1 - (-15)/(-40)*(3 + -1)). Let c(u) be the first derivative of -u**3 + 0*u + f*u**2 - 22 - 15/4*u**4. Suppose c(p) = 0. What is p?
-1/5, 0
Solve 12/5*r + 3/5*r**2 - 96/5 = 0.
-8, 4
Let t(z) be the third derivative of 14*z**6/255 - 47*z**5/255 + 35*z**4/204 + z**3/17 - 4126*z**2. Suppose t(u) = 0. Calculate u.
-1/14, 3/4, 1
Let y = -214463/66 - -6499/2. Let h(q) be the second derivative of 0*q**2 + y*q**3 + 1/22*q**4 + 30*q + 1/110*q**5 + 0. Let h(n) = 0. Calculate n.
-2, -1, 0
Suppose 64 - 1152*p - 856*p**2 + 1740*p**2 + 2738*p**3 + 4000*p**2 = 0. What is p?
-2, 4/37
Let y(i) be the first derivative of 1/12*i**5 + 0*i**3 - 7/2*i**2 + 0*i + 35 - 5/8*i**4. Let m(n) be the second derivative of y(n). Factor m(o).
5*o*(o - 3)
Let i(t) be the second derivative of -t**5/50 + 23*t**4/30 + 7*t**3 + 81*t**2/5 - 1673*t + 2. Factor i(y).
-2*(y - 27)*(y + 1)*(y + 3)/5
Let l = 1595/2136 + -57/712. Factor -20/3*a - 22/3 + l*a**2.
2*(a - 11)*(a + 1)/3
Let d be (2108/3720 - (-5)/(-6))*-6. Factor -d*k + 6/5 + 2/5*k**2.
2*(k - 3)*(k - 1)/5
Let y(f) = -2*f**2 + 621*f - 3350. Let s be y(305). Factor -2/15*p**s - 22/5*p + 6/5 + 92/15*p**2 + 6/5*p**4 - 4*p**3.
-2*(p - 3)**2*(p - 1)**3/15
Let 9 + 79/2*o - 9/2*o**2 = 0. What is o?
-2/9, 9
Let r be ((-1)/(-5) - (18684/(-1680) - -8)) + (-6)/(-14). Factor -r*y**2 - 1/2 + 31/4*y.
-(y - 2)*(15*y - 1)/4
Let j(g) be the third derivative of 0*g + 0 - 76*g**2 + 1/45*g**5 + 8/3*g**3 - 1/180*g**6 + 5/9*g**4. Factor j(t).
-2*(t - 6)*(t + 2)**2/3
Let y(h) = 2*h**3 - 3*h**2 + 2*h - 5. Let t = 67 + -65. Let z be y(t). Factor 2/3*i**z - 14/3*i**2 + 0*i + 0.
2*i**2*(i - 7)/3
Factor 202 + 158 - 16*r - 37*r**2 + 42*r**2 + 151*r.
5*(r + 3)*(r + 24)
Suppose 5*n = 4*t - 695, 5*n = -15*t + 14*t + 205. Factor -10*h**2 + 7 - t*h - 15*h**2 + 101 - 6*h**3 - 15*h**2 - 29*h**2.
-3*(h + 6)**2*(2*h - 1)
Suppose -o - l = -16, -4*o + 688*l - 34 = 685*l. Factor -2/11*b**3 + 0*b + 0 - 26/11*b**o.
-2*b**2*(b + 13)/11
Let o(q) = 5 + 5*q - 21*q - q**3 + 65*q**2 - 55*q**2 - 3. Let f be o(8). Factor 10*s**2 - 14*s**2 + f*s**4 - 10*s + 10*s**2 + 10*s**3 - 8.
2*(s - 1)*(s + 1)**2*(s + 4)
Let b be 46389/29127 + (-8)/584. Let 32/19 + b*c - 2/19*c**2 = 0. Calculate c.
-1, 16
Let i(s) be the second derivative of 841*s**5/30 - 319*s**4/3 + 160*s**3/3 - 32*s**2/3 + s - 738. Suppose i(u) = 0. Calculate u.
4/29, 2
Suppose 36 = 144*p - 138*p. Let g b | {
"pile_set_name": "DM Mathematics"
} |
pose 2*l = 3*i + 3 - 15, 8 = 2*i - 5*l. Let t be 6 - (-1 + i - 1). List the prime factors of 52/t + -2 + 0.
11
Let v = -6 - -10. Suppose -v*s + 35 = s. What are the prime factors of s?
7
Let f = -79 + 156. List the prime factors of f.
7, 11
Let a(t) = 2*t + 28. What are the prime factors of a(-9)?
2, 5
Let v = -37 + 97. Suppose v = -3*t - t. What are the prime factors of 1/(-2 + (-33)/t)?
5
Let i(a) be the second derivative of -7*a**3/3 - 6*a. List the prime factors of i(-1).
2, 7
Let o(b) = -b**3 + 5*b**2 + 8*b - 6. Let n be o(6). Let g(u) = -u**2 + 9*u - 6. What are the prime factors of g(n)?
2, 3
Let h(c) = 12*c**2 + 2*c + 4. Let z(q) = q**2 - 1. Let j(t) = h(t) + z(t). List the prime factors of j(-2).
3, 17
Let i = 92 + -66. List the prime factors of i.
2, 13
Let a(l) = -14*l - 3. List the prime factors of a(-6).
3
Let w = -48 - -70. What are the prime factors of w?
2, 11
Suppose 15 = -2*r + 127. What are the prime factors of r?
2, 7
Let y = -4 - -3. Suppose 0 = 5*s - 4*m - 22, -3 + 12 = -3*m. List the prime factors of s/3*(-9)/y.
2, 3
Suppose c = -2*g - c + 2, 22 = 4*g - 5*c. Suppose g*u - 33 = -h, h - 3*u - 39 = -h. What are the prime factors of h?
2, 3
Let j(s) be the first derivative of s**4/4 - 5*s**3/3 - s**2 - 3*s - 4. List the prime factors of j(6).
3, 7
What are the prime factors of ((-18)/15)/(1/(-10))?
2, 3
Let t(y) = -12*y - 1. Let a be t(-1). Let h = 17 - a. List the prime factors of h.
2, 3
Suppose 3*c = s - 36, 2*s + 2*c = -0*s + 48. Suppose -53 = -5*o + 2*z + s, -3*o + z + 48 = 0. What are the prime factors of o?
2
Suppose -5*d + 3*d = -x - 16, 62 = 5*d + 3*x. What are the prime factors of d?
2, 5
Let m(t) = 2*t - 9. Let z be m(7). Let o(k) = 2*k**2 - 6*k - 2. List the prime factors of o(z).
2, 3
Suppose 0 = -2*o + 11 - 1. Suppose 0 = -o*t + 190 - 50. What are the prime factors of t?
2, 7
Let s(i) = -2*i - 10. List the prime factors of s(-6).
2
Let w = 76 + -20. List the prime factors of w.
2, 7
List the prime factors of ((-2 - 184/(-12)) + 1)*3.
43
What are the prime factors of (-108)/(-15)*90/12?
2, 3
Let b(l) = -l + 3. Let m be b(3). Suppose -n - 4*h + 13 = -m*n, 5*n + 2*h = 83. List the prime factors of n.
17
What are the prime factors of 18/(-45) - (-282)/5?
2, 7
Let a = 19 + -38. Let f = -11 - a. List the prime factors of f.
2
Suppose c + 42 = -3*x, 2*x = -4*c - 3*x - 147. Let g be (-4)/22 - (-93)/c. List the prime factors of (-4 + 1)*g/1.
3
Suppose -t = -3*t + 4. Suppose 0*s = -t*v + 2*s + 22, -4*v + 12 = 4*s. List the prime factors of v.
7
List the prime factors of 7*20*(-102)/(-85).
2, 3, 7
Let b be 1/6 - 33/(-18). Suppose 0 = -b*h + 2, h = -2*u + 7 - 30. List the prime factors of (-201)/u + (-2)/(-8).
17
What are the prime factors of ((-3)/1 - -2) + 28?
3
Let s(z) = 3*z + 2. Let g be s(2). Suppose -5*y + 23 = g. Suppose 4*f - y*x - 32 = 0, f + 5*x = -1 + 9. List the prime factors of f.
2
Let d(x) = -x**3 + 7*x**2 + 3. Let r be d(7). Suppose 3*c = -j + 32, 5*j + 41 = 3*c - 15. Suppose 0 = r*u - 12 - c. What are the prime factors of u?
2
Suppose 0 = -2*z - 5*o + 104, 3*o + 2*o = 10. Let x be 101/(-3) - 4/(-6). Let p = x + z. List the prime factors of p.
2, 7
Suppose -5*r - 4 = -24. List the prime factors of 35/10*r/2.
7
Suppose 4*j - 26 = 6*j. Let y = 23 + j. List the prime factors of y.
2, 5
Suppose -3*z - 19 = -1. Let s = z - -8. Suppose 2*w - 3*q = -s + 1, -4*w + 8 = -4*q. List the prime factors of w.
7
What are the prime factors of 1*13*6/6?
13
Suppose 5*b + 18 - 3 = 0. Let z(m) = -9*m - 4. List the prime factors of z(b).
23
Let z(b) = b**2 - b - 3. Suppose -71 - 65 = -4*v. Suppose -v = q + 5*f - 11, 2*q - 14 = 5*f. List the prime factors of z(q).
3
Suppose 5*n = -10, n + 0*n - 61 = -3*b. Let m = b - 7. List the prime factors of m.
2, 7
Let w(h) = 3*h**2 - 3*h - 3. Let j be w(-2). Let z = -22 + 48. Let p = z - j. List the prime factors of p.
11
Suppose -15*m - 1014 = -2994. What are the prime factors of m?
2, 3, 11
Let s be 190/6 - (-7)/21. Let y = 50 - s. List the prime factors of y.
2, 3
Suppose 5*a = 6*a - 25. What are the prime factors of a?
5
Let y(x) = -4*x - 1. Let t be y(-1). Suppose t*b - 16 = 8. What are the prime factors of b?
2
Let w(b) = -17*b - 5. What are the prime factors of w(-4)?
3, 7
Suppose -5*n + 14 - 4 = 0. What are the prime factors of n?
2
Suppose 5*o - 70 = u, -6*o + 4*o + 46 = -4*u. Suppose a + 0*a - o = 0. Let v = a + -6. List the prime factors of v.
7
Suppose -z = -9 - 24. List the prime factors of z.
3, 11
Suppose -2*a - 12 = -6*a. Let i(p) = p**2 + 12 - 2*p + 0*p**2 + 3*p - p**a. What are the prime factors of i(0)?
2, 3
Suppose 0 = -5*v + 12 + 33. Let a = 49 - v. Let d = 56 - a. List the prime factors of d.
2
Suppose 6 = 4*h - h. Suppose h*f = -5*x + 22, f = -0*f - 4. What are the prime factors of (-28)/(-8) - (-3)/x?
2
Let q be ((-20)/3)/(2/6). Let v = -10 - q. List the prime factors of v.
2, 5
Suppose q + 4 + 5 = 0. Let p = q - -18. What are the prime factors of p?
3
Let m(n) = -7*n + 9 - 2*n**3 - n**3 + 4*n**3 - 5*n**2. Let s = -1 + 7. What are the prime factors of m(s)?
3
Let s = 6 - 15. Let r(g) = g**3 + 8*g**2 - 12*g + 2. What are the prime factors of r(s)?
29
Suppose -2*g - 10 = -o, -o + 4*g + 2 = -0. Let x = o - 13. List the prime factors of x.
5
Let l(a) be the third derivative of a**4/24 + 4*a**3/3 + 4*a**2. Let v be l(-6). Suppose -v*s + 24 = s. What are the prime factors of s?
2
List the prime factors of (-23)/(-4) - (-4)/16.
2, 3
Suppose -4*l + 166 = 2*z, -4*z - 163 = -4*l - 3. What are the prime factors of l?
41
Let l(j) = -j**3 + j**2 + j + 1. Let r(p) = 5*p**3 - 12*p**2 - p - 9. Let g(f) = 6*l(f) + r(f). List the prime factors of g(-7).
11
Let i be 3/(-2)*(-5 + -1). Let m be 1*i*(-13)/(-3). Suppose 4*y - 9 - m = 0. List the prime factors of y.
2, 3
Let x(g) = -6 + g**2 - 5 - 9*g - 2*g**2 + 1. List the prime factors of x(-7).
2
Suppose -2*x = t - 2, 5*t + 1 + 3 = 4*x. What are the prime factors of (-25 - -2)/(t + -1)?
23
Let d be (0 + 12/8)*(-8)/6. Let n = -20 - -4. List the prime factors of 0/(1 - d) - n.
2
Suppose 5*b + 41 = -34. Suppose 0*o + 2*p - 82 = -3*o, 5*o + 5*p = 145. Let f = b + o. What are the prime factors of f?
3
Let m be 1*3/(-1) + 72. What are the prime factors of m/(-12)*(-8)/2?
23
Suppose g = 5*b + 27, b + 4*b = 5*g - 35. Suppose 2*r = g + 22. Suppose z = 4*p - 14 + 40, r = -4*p. What are the prime factors of z?
2, 7
Let t be (25/(-10))/((-1)/(-14)). Let x = t + -9. Let b = -21 - x. What are the prime factors of b?
23
Let g(o) = -45*o**2 + o. Let s be g(1). Let p be 4/(-10) + s/(-10). Suppose -5*c + 1 = -3*n, 0 = -p*c + 8 + 12. What are the prime factors of n?
2
Suppose -6*x - 21 + 183 = 0. List the prime factors of x.
3
Let p = -8 + 15. Let s = p + -4. What are the prime factors of s?
3
Suppose 3475 = 18*r + 163. List the prime factors of r.
2, 23
Suppose -12*n + 1832 = -4*n. What are the prime factors of n?
229
Suppose 59 = -w + 23. Let s = -22 - w. What are the prime factors of s?
2, 7
Let q = -1 + 1. Suppose o - 4*t + t - 22 = q, -o + 32 = -5*t. List the prime factors of o.
7
Let t(m) = -23*m - 10. Let f(n) = 12*n + 5. Let d(b) = 7*f(b) + 4*t(b). Let r be d(-6). Let a = r + -23. List the prime factors of a.
2, 5
Let f(a) = -a**3 - 4*a**2 + 2*a. Let g be f(-5). Let j = 28 - g. Suppose -s + 4*c + j = 0, 5*s - 5*c + 33 - 98 = 0. List the prime factors of s.
13
Let a(b) = -9*b - 4. Let y(w) = -8*w - 4. Let x(g) = 4*a(g) - 5*y(g). List the prime factors of x(7).
2
Let a = 132 + -90. Suppose 0 = -2*x + 4*l + a, -4*l = 4*x - l - 106. List the prime factors of x.
5
Let k(b) = b**3 + 8*b**2 + 5*b + 6. List the prime factors of k(-7).
2, 5
Let u(o) = -7*o + 3. Let n be u(2). Suppose s - 2*l + 5 + 10 = 0, -4*l - 5 = 3*s. Let f = s - n. List the prime factors of f.
2
Let y be (-20)/(-6) - 3/9. Suppose 0 = -2*z - 2*p + 2, 3*p + 5 = 3*z - 4. Suppose -2*u - c + 17 = 0, y*c - c + z = 2*u. List the prime factors of u.
2, 3
Suppose -u = f - 32 + 2, 5*u + f - 170 = 0. List the prime factors of u.
5, 7
Suppose 0 = -4*h - 3*r - r + 132, -4*r = 5*h - 168. List the prime factors of h.
2, 3
Let b(o) be the first derivative of o**4/4 + 5*o**3/3 - 5*o**2/2 - 3*o - 3. Let c be b(-6). Let i = -3 - c. List the prime factors of i.
2, 3
Let w be 4/(-2) + 11 + -3. What ar | {
"pile_set_name": "DM Mathematics"
} |
4, 2, -191, 3?
0.05
Which is the nearest to 2/7? (a) -0.02 (b) -0.5 (c) 19.55 (d) 4
a
Which is the nearest to -0.04? (a) -29 (b) 32/43 (c) 1 (d) -1
b
Which is the nearest to 2/3? (a) 5 (b) -71 (c) 0.1 (d) 0.9
d
Which is the nearest to 4? (a) 38 (b) 21 (c) -3 (d) 1 (e) -3.2
d
What is the nearest to 2/15 in -0.1, 3, 5, 4, -2/21?
-2/21
What is the nearest to 2/5 in 8, 5, -187, 4?
4
Which is the closest to -12.88? (a) -3 (b) -0.2 (c) -30
a
Which is the closest to 1? (a) -15 (b) -4/5 (c) 3/2 (d) -6
c
What is the nearest to 3 in -2/3, 42, -23/2?
-2/3
Which is the closest to 0.1? (a) 333 (b) 1/21 (c) 0.5
b
Which is the closest to -119? (a) -0.26 (b) -3/4 (c) -1/4 (d) -3
d
Which is the nearest to -1? (a) -2 (b) -4 (c) -30256.9
a
Which is the closest to 0.0129? (a) 0 (b) 0.4 (c) -0.4 (d) 4/3 (e) 11/10
a
Which is the nearest to -0.9? (a) 92 (b) 0.8 (c) -0.05
c
Which is the closest to 3/8? (a) -19 (b) 1 (c) 1/11 (d) 0.5 (e) -0.1
d
What is the nearest to -0.14 in 1/3, 1/4, 0.09, 5?
0.09
Which is the nearest to 0.2? (a) -294 (b) -3 (c) 20/7 (d) -4 (e) -1/3
e
Which is the nearest to 0.1? (a) 4 (b) -2 (c) 0.2 (d) -2/39 (e) -2.9
c
Which is the closest to 5? (a) 0 (b) 17 (c) -0.05
a
What is the nearest to 2 in -13, -1.22, 0.2?
0.2
Which is the closest to 0.2? (a) -3 (b) -1 (c) -21
b
What is the nearest to -3 in -1/6, -0.4, -2?
-2
Which is the nearest to 1/3? (a) 35 (b) 2/15 (c) -4 (d) 0.1 (e) 1.5
b
Which is the closest to 0.18? (a) -1/4 (b) 54.3 (c) 4 (d) 1/2
d
Which is the closest to 6? (a) 0.5 (b) -1/5 (c) 108
a
Which is the closest to 3/4? (a) 0.03 (b) 6/7 (c) 0.07669 (d) 4
b
What is the nearest to 1/3 in -0.06635, 0.2, -4, -5?
0.2
What is the nearest to 0.6 in -16, -1/3, 40?
-1/3
Which is the nearest to 0.55? (a) -3/5 (b) -0.4 (c) 5 (d) -26 (e) 12
b
What is the nearest to -0.573 in 6, -4, 2, -1?
-1
Which is the nearest to 0? (a) 3178 (b) 5/2 (c) 0.03
c
Which is the closest to -17? (a) -5 (b) 1/11 (c) -0.4 (d) -2 (e) -0.16
a
Which is the closest to 0.1? (a) 2/3 (b) -0.35 (c) 0 (d) -3 (e) -6
c
What is the closest to -1 in -1/7, 3/10, -37452?
-1/7
Which is the nearest to 32? (a) -3 (b) -5 (c) 4/7 (d) 1/8 (e) -8
c
What is the nearest to 4 in -2, 33.1, -1/4, 0.7, 0.4?
0.7
Which is the closest to -1/4? (a) -0.141 (b) 0.2 (c) -0.2 (d) 12 (e) -2/13
c
Which is the closest to 1? (a) 0.3 (b) 1 (c) 34/7 (d) -4 (e) 4
b
Which is the closest to -3/7? (a) -3/5 (b) -2 (c) -0.05 (d) 4
a
Which is the nearest to 1? (a) -1 (b) 3/11 (c) -0.17 (d) 1 (e) 71/4
d
What is the nearest to 4/3 in 1, -4, 0.5, -0.0422, 0?
1
What is the nearest to -2 in -3, 2, -8, 23/4, -0.5?
-3
Which is the closest to -0.7? (a) 1 (b) 16 (c) -3
a
Which is the closest to -2? (a) -0.2 (b) 2 (c) -12 (d) -2/11
a
Which is the nearest to -110? (a) -14 (b) -2 (c) 5
a
Which is the closest to -2? (a) -1.33 (b) 1 (c) -1/2 (d) -1
a
Which is the closest to 46/7? (a) 0.3 (b) 41 (c) -2/5
a
What is the nearest to -8 in 5, 2/19, 1/6, -0.06, 2/553?
-0.06
What is the closest to 1/55 in -6, -2, -12?
-2
What is the nearest to 0.1 in 4, 53.6, 2, -5?
2
What is the closest to -63.33 in 1/4, 2, -0.2?
-0.2
Which is the closest to -127? (a) 0.2 (b) -2/3 (c) 5 (d) -1/3
b
Which is the nearest to 0? (a) -5 (b) -0.037 (c) 64 (d) -6/7
b
Which is the nearest to -1? (a) -0.4 (b) 11/4 (c) -1 (d) 1/5 (e) 98
c
Which is the closest to 0? (a) -12 (b) 1/263 (c) 5
b
What is the nearest to 2 in 1, 2, -206, 0.18, -0.3?
2
What is the nearest to 2 in -38, 1, 2, -1/35, -2?
2
Which is the closest to 11? (a) 1 (b) -115.7 (c) -3 (d) -5
a
Which is the closest to -1? (a) 0.2 (b) -101/11 (c) -5
a
Which is the closest to -64? (a) 2/5 (b) 0.003 (c) 0
c
What is the nearest to -8 in -2/7, -0.265, 3/5?
-2/7
What is the nearest to 1 in 3, 120, -1/34, -5, 2/7?
2/7
Which is the closest to 0.2? (a) -5/3 (b) -75 (c) 2
c
Which is the nearest to -14? (a) -3/2 (b) 0.4 (c) 0.5 (d) -1/27
a
Which is the nearest to 2/3? (a) -2 (b) 1 (c) 3 (d) 58 (e) 4
b
What is the closest to 3 in -5, -2.7, -4, -0.2?
-0.2
Which is the closest to 1.06? (a) 12 (b) 4 (c) -3 (d) -2/9
d
What is the closest to -1 in 3, -0.9, -1/6, -0.4?
-0.9
Which is the closest to -106/7? (a) 3 (b) 2/13 (c) 14/11
b
Which is the closest to -111? (a) 24 (b) 2 (c) 4 (d) -2/3
d
Which is the nearest to 1/8? (a) -0.04 (b) 1 (c) -20/3 (d) 3
a
What is the nearest to -4417 in -1, -29, 5?
-29
Which is the nearest to 4/5? (a) 4 (b) 0.7 (c) 0.4 (d) -1/2 (e) -0.18
b
What is the closest to 4 in 50/3, 1, -1, 0.5?
1
Which is the closest to 3/4? (a) -1/4 (b) -0.4 (c) -7/6 (d) -1
a
What is the nearest to -6 in -27, 21/2, 1?
1
Which is the nearest to 0? (a) -27 (b) 2/3 (c) 2 (d) -1
b
What is the closest to -1/2 in 3/8, -518, -0.1052, 0.5?
-0.1052
Which is the nearest to 3/8? (a) -3/8 (b) -0.2 (c) 2/7 (d) -2/47 (e) 2/3
c
Which is the closest to -2/29? (a) 4 (b) 3 (c) -186
b
Which is the closest to 6? (a) 61 (b) 1 (c) 5 (d) -1
c
Which is the nearest to -2? (a) -3/2 (b) -16 (c) -208/3
a
What is the closest to -0.8 in -0.18, 1/5, 8, 0, 1/4?
-0.18
Which is the closest to -1? (a) 5 (b) 0.1 (c) -0.814 (d) -4 (e) -1
e
Which is the nearest to -2158? (a) -0.3 (b) 0.4 (c) -16
c
What is the nearest to -4.6 in -0.2, -5, 2/5, -1, 71?
-5
Which is the closest to -10? (a) 187 (b) 0.5 (c) 0.1 (d) -0.05 (e) -0.5
e
What is the nearest to 9 in 0.3, 0.57, 3, 12, 0?
12
What is the closest to -6 in -8, -10, 1, 0.4?
-8
What is the nearest to -6 in -0.5, 1632, -4, 2/13, 0.4?
-4
Which is the nearest to 0.2? (a) 317 (b) 1/4 (c) 4 (d) 0
b
Which is the nearest to 0.08? (a) 9.218 (b) 4 (c) -3 (d) 5
c
Which is the nearest to -2/5? (a) 3 (b) 17514 (c) -0.2 (d) -1/2 (e) 1
d
Which is the nearest to -1? (a) 2/107 (b) -2/9 (c) 12 (d) -1
d
What is the nearest to -3 in 476, 50, 2/9?
2/9
Which is the closest to -12/7? (a) 0.3 (b) -5/2 (c) 1.4 (d) 0.5
b
Which is the nearest to -0.4? (a) 6/31 (b) 0.12 (c) -2
b
Which is the nearest to 2? (a) 2 (b) -30 (c) 4 (d) -3/7
a
What is the nearest to 0 in 35, -50, -65, 2?
2
What is the nearest to 2 in 0.01, 153, 13?
0.01
Which is the nearest to 0.1? (a) -3/5 (b) 3 (c) 1.66 (d) 1 (e) -0.02
e
Which is the closest to 6? (a) 1 (b) -5 (c) 93 (d) -0.4 (e) 128
a
What is the closest to 23 in 6/5, 11, -0.001, -2?
11
Which is the nearest to -7? (a) -17062 (b) 0.1 (c) -5 (d) -0.4
c
Which is the nearest to -0.2? (a) 16 (b) 2 (c) -0.2 (d) -0.4
c
Which is the closest to 1? (a) 1.35 (b) -1/4 (c) -0.1 (d) -2/3
a
What is the closest to 1 in -1.2, 0.4, 2, 0.435?
0.435
Which is the closest to 0.338? (a) 16 (b) -0.3 (c) 0.1 (d) -10.8
c
Which is the nearest to 2? (a) -0.03 (b) -2 (c) -18 (d) 1/55
d
What is the closest to -30/19 in 4, 1/9, 0, -11/28?
-11/28
What is the closest to -1 in -9/5, -58, -0.7, -2?
-0.7
What is the closest to 1/4 in 3, -544040, -1/4?
-1/4
Which is the closest to 0? (a) -0.5 (b) 5 (c) 0.252 (d) -0.3
c
What is the nearest to 0.27 in 1, -34/9, -45?
1
What is the closest to 10 in -3, -0.169, 5/3, -5, -0.2?
5/3
What is the nearest to 4/19 in 1/2, 28, -11?
1/2
Which is the nearest to 0.05? (a) 2.1 (b) 6/7 (c) 4
b
Which is the nearest to -2/7? (a) 5 (b) 988 (c) 0.1 (d) -40 (e) -3/2
c
Which is the nearest to -2/5? (a) -5 (b) 1 (c) -5687 (d) -0.1
d
What is the nearest to -1/5 in -5, -0.4, -33, -260, 3?
-0.4
Which is the nearest to 2/9? (a) -2 (b) -0.9 (c) -10 (d) -1/811
d
What is the closest to -3 in 25607, 3, 2/3, 4, 1?
2/3
Which is the closest to 1/19? (a) 2644 (b) -2/5 (c) 1
b
Which is the nearest to -1? (a) 2 (b) -487 (c) -18 (d) 3
a
Which is the closest to -2? (a) 2/5 (b) -2/7 (c) -7353
b
What is the closest to 6/11 in 0, -4/7, 6/11, -5, -2?
6/11
Which is the nearest to -2? (a) -24 (b) 7 (c) 770
b
What is the closest to 1 in -19, 80, -5, 3, 5?
3
Which is the nearest to -10/9? (a) 5 (b) -6 (c) -1/11 (d) 5/7 (e) 1/6
c
What is the closest to -2 in -1, 23, 2/15, 2/7, 2?
-1
Which is the nearest to 0.1? (a) 10 (b) -1.6 (c) 3 (d) 0 (e) -0.1
d
What is the closest to -5 in 5, 20, -3/2, -3?
-3
Which is the cl | {
"pile_set_name": "DM Mathematics"
} |
st value? (a) -487 (b) -4 (c) 0.2 (d) -26
d
Which is the second biggest value? (a) 2/17 (b) 11 (c) -5 (d) -1 (e) 19
b
Which is the smallest value? (a) 0.1 (b) 0.2 (c) 4 (d) -31 (e) -2/11
d
What is the biggest value in 2/5, -99, 4?
4
Which is the third biggest value? (a) -0.4 (b) 3 (c) -30 (d) -25 (e) -0.3
a
What is the second biggest value in -0.3, -0.5, 6/11, 2/7?
2/7
Which is the third biggest value? (a) 1 (b) -28 (c) 31
b
Which is the third biggest value? (a) 12 (b) 1/2 (c) 0.3 (d) -36
c
Which is the fifth biggest value? (a) -4 (b) 0.3 (c) 2/11 (d) -12/5 (e) 0
a
Which is the fourth smallest value? (a) -1 (b) 22/5 (c) -0.01 (d) -0.5
b
What is the third smallest value in -216, -2.7, -2?
-2
What is the second biggest value in 13, 20, 2/7, -1/5?
13
What is the fifth biggest value in -0.1, 0.06, -2/3, 4/9, 4?
-2/3
What is the smallest value in 0.4, -1/6, -1, -0.5?
-1
What is the biggest value in -5, 6, 1/3?
6
What is the smallest value in 2/9, 51, -3?
-3
Which is the third biggest value? (a) -3 (b) 1/3 (c) -5 (d) -4
d
What is the second biggest value in 2/7, 2, -3?
2/7
Which is the second biggest value? (a) 48 (b) -1 (c) 3
c
Which is the third smallest value? (a) -0.5 (b) 2/23 (c) 0 (d) -0.3 (e) 4
c
What is the second smallest value in 2, -3, 5, -1?
-1
Which is the second biggest value? (a) -12 (b) 0 (c) 1/4
b
Which is the third smallest value? (a) -1 (b) 2/3 (c) 793 (d) 2
d
Which is the second smallest value? (a) -4/15 (b) -3/7 (c) -6
b
Which is the smallest value? (a) 34 (b) -0.2 (c) 5 (d) 0.16 (e) 3
b
What is the smallest value in 15, 0.267, 3/2?
0.267
Which is the biggest value? (a) 3 (b) -0.4 (c) 46
c
Which is the biggest value? (a) -0.5 (b) -0.3 (c) 24
c
Which is the second biggest value? (a) 2/15 (b) -2 (c) -2/9 (d) -6 (e) -1
c
Which is the biggest value? (a) 0.9 (b) 5 (c) 4 (d) 12 (e) -2
d
What is the biggest value in -1/6, 239, 2?
239
What is the fourth smallest value in -5, -0.13, -1/4, 3/8?
3/8
What is the smallest value in -0.2, 0.1, -7, -37?
-37
What is the fifth smallest value in -5, -0.2, -1, 0.08, -2?
0.08
Which is the third smallest value? (a) 0.21 (b) 0.2 (c) -0.7
a
What is the second smallest value in 22, -7, -3, 4?
-3
What is the second biggest value in 19, 16, 0.16?
16
Which is the smallest value? (a) 0 (b) 3 (c) -4 (d) 4
c
What is the third biggest value in -0.5, 1, 0.3, -0.02?
-0.02
What is the second smallest value in -7, -4, 168?
-4
What is the second smallest value in -880, 3, -4?
-4
What is the third smallest value in 2/11, 2/3, 5, -5?
2/3
Which is the fourth smallest value? (a) 0.1 (b) 3 (c) 1/3 (d) -0.3
b
What is the fourth biggest value in -3, -35, -0.1, -0.4?
-35
Which is the second biggest value? (a) 2/11 (b) -2/5 (c) 1 (d) 0 (e) -4
a
What is the biggest value in 5, 6, -0.01?
6
What is the second biggest value in 1, 2, -213?
1
What is the third biggest value in -0.2, 0.5, 2/17, -0.5, -18?
-0.2
Which is the second smallest value? (a) 0.4 (b) -4 (c) -2 (d) 0.3 (e) -40/3
b
Which is the second smallest value? (a) -111 (b) -5 (c) 2/11 (d) -0.7
b
Which is the fourth smallest value? (a) -3/4 (b) -2/5 (c) 85 (d) -5
c
Which is the third smallest value? (a) -0.5 (b) -2 (c) -0.2 (d) -3
a
What is the second smallest value in -93/5, 0, -1?
-1
What is the second smallest value in -0.01, -0.5, -22?
-0.5
What is the third smallest value in 62, -0.7, -0.4?
62
What is the biggest value in -3, 0.9, 2/49, 0.4?
0.9
What is the second biggest value in -1/8, -2/21, -2/15, 0?
-2/21
What is the second smallest value in -20, 5/3, -5?
-5
What is the fourth smallest value in 2, -2, -8, 1/7?
2
Which is the biggest value? (a) 0.04 (b) 3 (c) 18
c
What is the third biggest value in -6354, -5, -0.4?
-6354
Which is the third biggest value? (a) -3/8 (b) 0 (c) 2/3
a
What is the second biggest value in 2/3, 7, 3/8, 1, -0.2?
1
Which is the fourth smallest value? (a) -0.5 (b) -109 (c) -1 (d) 1/22 (e) 3
d
What is the fourth smallest value in -4, 2/9, 5, 4?
5
What is the biggest value in -5, 0.5, -66, -1/2?
0.5
Which is the smallest value? (a) 5 (b) -3 (c) 2 (d) 5/3
b
What is the second smallest value in 0.5, -1210, -2?
-2
What is the fourth smallest value in 0, -5, -3, 0.06?
0.06
What is the fourth biggest value in 0.3, 4, 1, 3/79, -0.1?
3/79
Which is the second smallest value? (a) -6 (b) -17 (c) -0.3 (d) 4/3
a
Which is the fifth smallest value? (a) -5 (b) -9 (c) 4 (d) 5 (e) -0.2
d
Which is the third biggest value? (a) -3 (b) 2/7 (c) -0.3
a
What is the second biggest value in 0, 2/3, 2/43, 5?
2/3
Which is the second smallest value? (a) -18 (b) 5 (c) -0.2 (d) -4
d
Which is the third biggest value? (a) 4 (b) 2.66 (c) -4 (d) 0 (e) 2
e
What is the second biggest value in 0.07, -12, 5?
0.07
Which is the second smallest value? (a) 17 (b) 3 (c) -0.1
b
Which is the fifth biggest value? (a) -8 (b) -4 (c) -3 (d) -2/3 (e) 2
a
Which is the third smallest value? (a) -2/3 (b) 2 (c) 10 (d) -21
b
Which is the fourth smallest value? (a) 2 (b) 5 (c) -0.3 (d) 1 (e) 26
b
Which is the second smallest value? (a) 3 (b) 1/50 (c) 4 (d) -2/9
b
Which is the third biggest value? (a) -1/4 (b) -2 (c) -0.01 (d) -9
b
Which is the third smallest value? (a) -5 (b) 10/9 (c) -1/6
b
Which is the third smallest value? (a) 4/5 (b) -4/11 (c) 0 (d) 3
a
Which is the second smallest value? (a) 3/8 (b) 4 (c) -1/8 (d) -5/3
c
Which is the second smallest value? (a) -2 (b) -5 (c) -17/5 (d) 0
c
Which is the second biggest value? (a) -2/5 (b) -0.3 (c) -0.1 (d) 0
c
What is the second smallest value in 0.4, 3, -0.5, -12/7, 2/9?
-0.5
What is the fifth biggest value in -3, 1, -2, 4, 2/3?
-3
What is the smallest value in -0.6, 0.2, -51?
-51
What is the fifth smallest value in 0.3, -0.5, 1, 2, -4.9?
2
Which is the second biggest value? (a) 4/3 (b) 0.3 (c) -0.3 (d) 2/11
b
Which is the second smallest value? (a) -42.5 (b) -0.05 (c) -4
c
What is the biggest value in -17/3, -1/5, -2?
-1/5
What is the second biggest value in 5, 0, -2/7, -7?
0
Which is the fourth biggest value? (a) -0.3 (b) -2 (c) 1 (d) 0.2
b
Which is the third smallest value? (a) -2/619 (b) -5 (c) 3
c
Which is the third smallest value? (a) 1/5 (b) 4 (c) -5/2 (d) -2 (e) 2/3
a
Which is the second biggest value? (a) 8 (b) 0.2 (c) -0.1 (d) 3/2
d
What is the smallest value in 0.1, 17, 2/5, -2/11, 5/4?
-2/11
What is the third biggest value in 32, 0.5, 2/11?
2/11
What is the biggest value in -1/2, 0, -32, -4?
0
Which is the second smallest value? (a) 2.3 (b) -3 (c) 1/11
c
Which is the second biggest value? (a) 3 (b) -27 (c) -4 (d) -8 (e) 1/4
e
What is the second smallest value in -52, 1/15, -0.3?
-0.3
What is the third biggest value in 3, -3/4, 2/9, 1/4?
2/9
What is the third biggest value in 5, -4, 17?
-4
What is the fourth smallest value in 7, 0.3, 0.5, -0.01, 5?
5
What is the third smallest value in 1/245, 5/4, 0.02?
5/4
What is the biggest value in -12/11, 5, -2/13, -0.3?
5
What is the smallest value in 2/11, -1, -11, -1/5, -57?
-57
What is the smallest value in -4, 279, -0.05?
-4
What is the second smallest value in -2, 0.166, 1/4?
0.166
What is the third biggest value in -1/2, -7, -710?
-710
What is the fourth biggest value in 1/2, 5, -18/11, -1, -1/7?
-1
Which is the third smallest value? (a) -2 (b) 121/4 (c) 0.1 (d) -0.3
c
What is the smallest value in 0.04, -5, -17, 11?
-17
What is the third smallest value in -5.3, 0.5, -0.1?
0.5
Which is the fourth biggest value? (a) -142/7 (b) -3/2 (c) 6 (d) -3/8
a
What is the third biggest value in 167, 1, 3/5?
3/5
Which is the fourth smallest value? (a) -4/7 (b) 0.11 (c) 1/4 (d) 4
d
What is the second smallest value in -0.4, 0.5, -5, 0.3, 2.15?
-0.4
Which is the biggest value? (a) -6 (b) 1/4 (c) -14 (d) 0.6 (e) 3
e
Which is the biggest value? (a) 0 (b) -2.6 (c) 0.5 (d) -3
c
Which is the fourth smallest value? (a) 0.3 (b) -2/5 (c) -1/6 (d) -3
a
Which is the third biggest value? (a) -13 (b) 1.3 (c) -2/9
a
Which is the second biggest value? (a) 0.2 (b) -2/5 (c) 2 (d) -192
a
What is the third smallest value in -1/167, -2/15, -3?
-1/167
Which is the third b | {
"pile_set_name": "DM Mathematics"
} |
1
What are the prime factors of 103389?
3, 11, 13, 241
What are the prime factors of 2223113?
2223113
List the prime factors of 89451.
3, 3313
List the prime factors of 66208.
2, 2069
List the prime factors of 3640309.
3640309
What are the prime factors of 371369?
37, 10037
What are the prime factors of 4582495?
5, 149, 6151
List the prime factors of 6272253.
3, 13, 53609
What are the prime factors of 224163?
3, 24907
What are the prime factors of 251052?
2, 3, 20921
List the prime factors of 354930.
2, 3, 5, 11831
List the prime factors of 362666.
2, 149, 1217
What are the prime factors of 23587?
103, 229
List the prime factors of 8472537.
3, 19, 49547
List the prime factors of 1032919.
47, 21977
List the prime factors of 2317423.
17, 136319
List the prime factors of 7336651.
7, 79, 13267
List the prime factors of 8515842.
2, 3, 23, 2683
List the prime factors of 47702.
2, 17, 23, 61
What are the prime factors of 1902586?
2, 7, 135899
List the prime factors of 1137110.
2, 5, 13, 8747
List the prime factors of 2206903.
139, 15877
List the prime factors of 405657.
3, 7, 47, 137
What are the prime factors of 42740?
2, 5, 2137
What are the prime factors of 3877362?
2, 3, 59, 1217
List the prime factors of 7118715.
3, 5, 474581
List the prime factors of 201538.
2, 100769
List the prime factors of 695673.
3, 11, 7027
List the prime factors of 7004047.
31, 101, 2237
What are the prime factors of 21537556?
2, 5384389
What are the prime factors of 1330262?
2, 665131
List the prime factors of 221413.
221413
List the prime factors of 81586.
2, 19, 113
What are the prime factors of 200996?
2, 109, 461
What are the prime factors of 1553250?
2, 3, 5, 19, 109
List the prime factors of 8174716.
2, 11, 185789
What are the prime factors of 1831835?
5, 17, 23, 937
What are the prime factors of 162074?
2, 11, 53, 139
List the prime factors of 2340490.
2, 5, 43, 5443
List the prime factors of 124491.
3, 17, 2441
What are the prime factors of 120059?
211, 569
What are the prime factors of 103143?
3, 34381
What are the prime factors of 526127?
7, 75161
What are the prime factors of 6301313?
661, 9533
What are the prime factors of 1802429?
131, 13759
What are the prime factors of 28246?
2, 29, 487
What are the prime factors of 171328?
2, 2677
What are the prime factors of 1038992?
2, 64937
List the prime factors of 5892314.
2, 2946157
What are the prime factors of 226041?
3, 75347
List the prime factors of 450577.
107, 4211
List the prime factors of 3454306.
2, 29, 59557
What are the prime factors of 793380?
2, 3, 5, 7, 1889
List the prime factors of 2446813.
2446813
List the prime factors of 596299.
11, 151, 359
List the prime factors of 2301810.
2, 3, 5, 7, 97, 113
List the prime factors of 2826516.
2, 3, 7, 11, 19, 23
List the prime factors of 278977.
19, 14683
List the prime factors of 175016.
2, 131, 167
List the prime factors of 386524.
2, 71, 1361
List the prime factors of 595565.
5, 311, 383
What are the prime factors of 198593?
198593
What are the prime factors of 1298259?
3, 67, 2153
List the prime factors of 2452680.
2, 3, 5, 757
List the prime factors of 23318.
2, 89, 131
What are the prime factors of 6163163?
17, 19, 19081
List the prime factors of 340523.
229, 1487
What are the prime factors of 255803?
255803
What are the prime factors of 329302?
2, 229, 719
List the prime factors of 191735.
5, 31, 1237
List the prime factors of 469969.
469969
List the prime factors of 33155.
5, 19, 349
List the prime factors of 137327.
89, 1543
List the prime factors of 478932.
2, 3, 107, 373
What are the prime factors of 1405736?
2, 199, 883
List the prime factors of 22936134.
2, 3, 13, 294053
List the prime factors of 3481502.
2, 89, 19559
List the prime factors of 43536.
2, 3, 907
What are the prime factors of 1835537?
11, 166867
What are the prime factors of 29703?
3, 9901
What are the prime factors of 78894?
2, 3, 487
What are the prime factors of 209083?
7, 17, 251
What are the prime factors of 254068?
2, 19, 3343
What are the prime factors of 120843?
3, 29, 463
What are the prime factors of 24722?
2, 47, 263
What are the prime factors of 1880571?
3, 7, 11, 1163
What are the prime factors of 3870536?
2, 31, 15607
What are the prime factors of 225668?
2, 56417
What are the prime factors of 199199?
7, 11, 13, 199
What are the prime factors of 67342?
2, 11, 3061
List the prime factors of 1525601.
7, 11, 19813
What are the prime factors of 13106330?
2, 5, 1310633
What are the prime factors of 3772615?
5, 7, 11, 41, 239
List the prime factors of 42201875.
5, 67523
List the prime factors of 20108.
2, 11, 457
List the prime factors of 322617.
3, 31, 3469
What are the prime factors of 9052492?
2, 1291, 1753
What are the prime factors of 2748590?
2, 5, 13, 21143
What are the prime factors of 13822160?
2, 5, 11, 113, 139
List the prime factors of 762981.
3, 197, 1291
List the prime factors of 427610.
2, 5, 61, 701
List the prime factors of 10619694.
2, 3, 196661
What are the prime factors of 19495710?
2, 3, 5, 13, 19, 877
List the prime factors of 131745.
3, 5, 8783
List the prime factors of 33567759.
3, 3729751
What are the prime factors of 27199828?
2, 103, 107, 617
What are the prime factors of 248617?
29, 8573
List the prime factors of 292773.
3, 13, 7507
List the prime factors of 1158866.
2, 579433
List the prime factors of 5144.
2, 643
What are the prime factors of 1240582?
2, 7, 12659
What are the prime factors of 1239285?
3, 5, 82619
List the prime factors of 824230.
2, 5, 11, 59, 127
What are the prime factors of 8142503?
8142503
List the prime factors of 56541.
3, 47, 401
List the prime factors of 4098532.
2, 1024633
List the prime factors of 361952.
2, 11311
List the prime factors of 32724832.
2, 7, 146093
What are the prime factors of 152485?
5, 30497
List the prime factors of 3794314.
2, 103, 113, 163
What are the prime factors of 424289?
19, 137, 163
What are the prime factors of 8030647?
17, 472391
What are the prime factors of 400424?
2, 50053
List the prime factors of 87461.
11, 7951
What are the prime factors of 3792590?
2, 5, 19, 19961
List the prime factors of 272450.
2, 5, 5449
List the prime factors of 531289.
11, 48299
List the prime factors of 326822.
2, 163411
What are the prime factors of 4250611?
4250611
What are the prime factors of 559578?
2, 3, 93263
List the prime factors of 321281.
101, 3181
What are the prime factors of 30660326?
2, 137, 149, 751
List the prime factors of 2586070.
2, 5, 258607
List the prime factors of 10002945.
3, 5, 401, 1663
List the prime factors of 2867951.
17, 73, 2311
List the prime factors of 1098552.
2, 3, 7, 13, 503
What are the prime factors of 485452?
2, 11, 17, 59
What are the prime factors of 342882?
2, 3, 43, 443
What are the prime factors of 92181?
3, 30727
What are the prime factors of 236128?
2, 47, 157
What are the prime factors of 147502?
2, 73751
List the prime factors of 879271.
879271
List the prime factors of 392623.
7, 11, 5099
What are the prime factors of 35110?
2, 5, 3511
List the prime factors of 6096879.
3, 103, 6577
List the prime factors of 95747.
95747
What are the prime factors of 33814?
2, 11, 29, 53
What are the prime factors of 130861?
107, 1223
What are the prime factors of 5718287?
5718287
List the prime factors of 2900145.
3, 5, 29, 59, 113
What are the prime factors of 739053?
3, 7, 11731
What are the prime factors of 53878?
2, 11, 31, 79
List the prime factors of 2628314.
2, 13, 101089
List the prime factors of 39887104.
2, 155809
List the prime factors of 2962099.
7, 61, 991
What are the prime factors of 1396707?
3, 13, 59, 607
What are the prime factors of 372107?
372107
What are the prime factors of 211322?
2, 157, 673
List the prime factors of 194227.
11, 17657
List the prime factors of 4049218.
2, 1151, 1759
What are the prime factors of 946991?
331, 2861
What are the prime factors of 1775979?
3, 65777
What are the prime factors of 4205058?
2, 3, 11, 13, 29
What are the prime factors of 980050?
2, 5, 17, 1153
What are the prime factors of 9132160?
2, 5, 19, 751
What are the prime factors of 4637142?
2, 3, 79, 1087
List the prime factors of 315219.
3, 179, 587
What are the prime factors of 2204802?
2, 3, 122489
What are the prime factors of 9020739?
3, 7, 13, 173, 191
What | {
"pile_set_name": "DM Mathematics"
} |
the tens digit of f(-4)?
6
Let j(s) = s + 15. Let g be (-2)/(-6) + 62/(-6). Let l be -2 - 0 - (-90)/g. What is the units digit of j(l)?
4
Let j(p) = p - 2. Suppose -3 = -y + 4*y, 5*s + y - 19 = 0. Let k be j(s). Suppose -2*c + k*h + 64 = -3*h, -c + 50 = 2*h. What is the units digit of c?
2
Suppose 26 = -k + 3*k + 4*c, 5 = c. Suppose -2*s - 3*f = 5, -5*s + 2 = -4*s - k*f. Let j(x) = -13*x**3 - x**2 + x + 1. What is the tens digit of j(s)?
1
Suppose -h + 4 = 9. Let v(c) = -c**3 - c**2 + 5*c + 1. What is the tens digit of v(h)?
7
Let n(u) = 11*u + 64. What is the hundreds digit of n(7)?
1
Suppose -3660 = -35*s + 29*s. What is the tens digit of s?
1
Let v = -1047 + 3837. What is the hundreds digit of v?
7
Let o(m) = -2*m**3 - 2*m**2 + 6*m + 3. Let v = 28 - 32. What is the tens digit of o(v)?
7
Let s(q) = 2*q - 12. Let f be s(6). Suppose 3*c = -4*m + 2*c + 170, f = 5*c - 10. What is the units digit of m?
2
Let w(t) = -7*t - 23. Let v be w(-21). Suppose k = -3*f + 80, 2*k - v = 5*f - 2*f. What is the units digit of k?
8
Suppose -n + 0*n = -5. Suppose 0 = -n*d + 55 - 0. Suppose -5*y + d = m, m + y = -2*m + 19. What is the units digit of m?
6
Let x(w) = -w**3 - 4*w**2 + 5*w + 2. Let t be x(-5). Suppose -t*z = 2*g + 10, 4*g - z + 7 = -8. What is the tens digit of g + 3 + 55 - 0?
5
Suppose 2*u + 957 = l - 566, -5*u + 4569 = 3*l. What is the tens digit of l?
2
Let y(p) = p**3 - 9*p**2 + 8*p + 10. Let j be y(8). Suppose j*v = 178 + 592. What is the units digit of v?
7
Suppose -2*h + 0*h + 108 = 0. What is the tens digit of h/(-81) - 424/(-6)?
7
Let g(u) = 44*u**3 - 2*u**2 + 11. What is the units digit of g(3)?
1
Let a(g) = g**3 + 4*g**2 - 5*g - 3. Suppose -4*h = -u - 2*h + 3, 5*h + 35 = -3*u. Let n be a(u). What is the tens digit of 1100/33 + (-2)/n?
3
Let v = 256 - -60. What is the hundreds digit of v?
3
Let t(o) = 5*o. Let j(k) = 11*k - 1. Let m = -15 - -18. Let i(p) = m*j(p) - 7*t(p). What is the units digit of i(-9)?
5
What is the tens digit of (2 - (-38)/(-6))*-207?
9
Suppose 0*p = -5*p + 895. What is the tens digit of p?
7
What is the units digit of 576 + 1 - (34 + -34)?
7
Let b(m) = m**3 - 8*m**2 + 9*m - 6. Let g be b(6). Let a be g/(-20)*20/6. Suppose 0 = 5*h - 5*y, -a*h + 10 = -h - y. What is the units digit of h?
5
Let l be (5 + -5)/(-1 - -2). Let q be 0/(l - (2 + 0)). Suppose -2*w + q*w + 38 = -5*a, 0 = 2*w - a - 46. What is the tens digit of w?
2
Suppose 0 = 5*o + 355 - 7230. What is the thousands digit of o?
1
Let v(d) = -71*d - 359. What is the units digit of v(-25)?
6
Suppose 0 = -4*m + 4*p + 41 - 5, m + 7 = -3*p. Let d be (m/15)/((-1)/3). Let t = d - -12. What is the units digit of t?
1
Let v(d) = 48*d + 111. Let t(j) = -7*j - 16. Let b(q) = -27*t(q) - 4*v(q). Let g be b(-6). Suppose g*k - k = 120. What is the units digit of k?
4
Suppose 5*o - 3*b - 333 = 2*o, 0 = 3*b + 12. Suppose -2*h + o = 4*d + d, -4*h + 196 = 4*d. What is the units digit of h?
6
Let v(d) = -d**2 - 41*d + 46. What is the tens digit of v(-27)?
2
Let d(l) be the second derivative of l**5/20 + 5*l**4/4 - l**3 - 15*l**2/2 + 6*l. What is the units digit of d(-15)?
5
Suppose -3*q + 677 = l, 8*q - l - 443 = 6*q. Suppose 5*s - 3*s = q. What is the hundreds digit of s?
1
Let q(n) = -2*n - 11. Let p be (-2)/(2 - 16/9). What is the units digit of q(p)?
7
Let d(f) = -5*f - 26. Let a be d(-6). Suppose a*w - 1120 = -0*w. What is the units digit of w?
0
Let u = -127 - -275. What is the hundreds digit of u?
1
Let x(h) = h**2 - 1. Let v be x(3). Suppose 0*g + 360 = v*g. What is the tens digit of g?
4
Suppose -2*w + 1 = -y, 3*y - 1 = 2*w - 4. Suppose w*l - 4 = -l. What is the tens digit of 330/24 + (-3)/l?
1
Let j = 26 + -26. Let l(x) = x**2 - x + 34. Let d be l(j). Suppose r - 22 - d = 0. What is the units digit of r?
6
Let v be 23/3 - (-4)/(-6). Suppose 71 - 50 = 7*c. Suppose v = -c*p + 10. What is the units digit of p?
1
Let p(c) = -3*c + 9. Let a(s) = -28*s + 90. Let o(x) = 42*x - 135. Let y(r) = -7*a(r) - 5*o(r). Let v(f) = -11*p(f) + 2*y(f). What is the units digit of v(6)?
1
Let m(c) = 8*c**2 + c + 1. Let d be m(-1). Let u(o) = -o + 13. Let p be u(d). Suppose 32 = t + 5*x, -6*x + 3*x = -p*t + 104. What is the units digit of t?
2
Let k(o) be the second derivative of -o**3 - 3*o**2 - 45*o - 2. Let r = -12 + 0. What is the tens digit of k(r)?
6
Let u be (2 - (-55)/(-25)) + 1498/(-10). What is the tens digit of (-1)/(-1) - -1 - (u - 5)?
5
Let b(c) = 11*c + 56. Let u be b(-6). What is the units digit of 1*-2 - (-10)/(u/(-191))?
9
Let g = -260 + 473. What is the units digit of g?
3
Let c(z) = 9*z - 10. Let m(s) = -14*s + 15. Let y(t) = -8*c(t) - 5*m(t). What is the units digit of y(-9)?
3
Suppose 38*v - 18 = 32*v. Suppose 0 = v*s - 0*s + 4*h - 909, 5*s - h = 1515. What is the hundreds digit of s?
3
Let y = -3 - -35. What is the units digit of y?
2
Let t = -3 + 4. Let a = t + 1. Suppose -5*r + 3 = -a. What is the units digit of r?
1
Let p = 243 - 140. What is the tens digit of p?
0
Let r(u) be the third derivative of -u**6/120 - u**5/30 - u**4/24 + 9*u**3 - 2*u**2. What is the units digit of r(0)?
4
Suppose -4 = -2*p, f - p + 5*p - 1566 = 0. What is the hundreds digit of f?
5
Let j(h) be the first derivative of h**3/3 + 9*h**2/2 + 5*h + 14. Let n(b) be the first derivative of j(b). What is the tens digit of n(5)?
1
Suppose 0 = -12*y + 8151 + 3213. What is the tens digit of y?
4
Suppose 0 = -11*f + 6*f. Suppose 180 = 3*k - f*k. What is the tens digit of k?
6
Let w = 207 - -469. What is the tens digit of w?
7
Suppose 7*y = 3*y - 4. Let i be 1146/6 - (2 - y). Suppose -3*o + 4*o = -5*b + i, 5*b = o + 182. What is the tens digit of b?
3
Suppose b + 1 + 3 = 0, 2*j = b + 4. Suppose -f + j*f = 34. Let v = f - -64. What is the tens digit of v?
3
Suppose 3 = 6*i - 5*i. Suppose -5*m - 32 = -i*y, 5*y - 2 = -2*m + 10. What is the tens digit of (-84)/m + 4/2?
2
Let r be ((-25)/(-10))/((-4)/(-8)). Suppose r*b = b. What is the units digit of (-2 - b)*5/(-1)?
0
Let p(o) = -o**2 + 16*o - 35. Let a be p(13). Suppose -4*s - a*u + 692 = 0, 5*s = -2*u + 461 + 404. What is the tens digit of s?
7
Let i(p) = 2*p**3 + 20*p**2 - 18*p - 9. What is the tens digit of i(-9)?
1
Suppose -14*x + 10*x + 396 = 0. What is the units digit of x?
9
Suppose a + 102 - 980 = 0. Suppose -20*m + 1182 = -a. What is the hundreds digit of m?
1
What is the thousands digit of (8 + (-15)/(-50)*238)*55?
4
Suppose -a + 2*n + 19 = -2*n, 0 = a + n + 1. Suppose 192 = 3*s + a*w, 2*s + 3*w - 130 = 2*w. What is the units digit of s?
6
Let z(r) = -3*r - 4. Let j be z(5). Let g = j - -20. Suppose 5*y + 4*s - 150 = 0, -5*s = 3*y - 4*y + g. What is the units digit of y?
6
Suppose 15 - 69 = -3*s + k, -k + 3 = 0. What is the tens digit of s?
1
Suppose 0 = -f + 4*g + 476, 2168 - 209 = 4*f - 5*g. What is the hundreds digit of f?
4
Let m be ((564/7 - 0) + 0)*7. Suppose 5*h + 29 = 9, -h = -5*a + m. What is the units digit of a?
2
Let u = 19 - 16. Let n be (-395)/(-60)*u*4. Suppose -3*o + a = -2*a - 63, -3*o + n = 5*a. What is the units digit of o?
3
Suppose 50 + 48 = -2*d. Let w = d + 80. What is the tens digit of w?
3
Let k = -91 + 23. Let x = 43 + k. What is the units digit of 3*(3 - 2) - x?
8
Let f be 2 - (-4)/(-8)*-2. Suppose 0 = 2*p - y + 3*y, 4*y = -3*p + f. Let s = 23 - p. What is the units digit of s?
6
Let v(j) be the first derivative of j**4/12 - j**3/3 + 6*j**2 + 12. Let d(u) be the second derivative of v(u). What is the tens digit of d(6)?
1
Suppose 9604 = -12*h + 40804. What is the thousands digit of h?
2
Suppose 217 = -r - 5*s, 2*r - 5*s + 35 = -474. Let v = -143 - r. What is the units digit of v?
9
Suppose -1 = -m - 11. What is the units digit of 335/m*(-2 - 0)?
7
Let u = 1636 - 733. What is the units digit of u?
3
Let d be 0/(-2) - (-17 + -29). Let g = d + 90. What is the tens digit of g?
3
Suppose z + 4*z - a - 325 = 0, 0 = -5*z + 4*a + 325. Suppose -l = -6*l + z. Let t = -11 + l. What is the units digit of t?
2
Let v(i) = i**3 + 5*i**2 + 3*i - 1. Let f be v(-4). Let d(s) = 17*s**3 - 30*s**3 - s - s**2 + 1 + 14*s**3. What is the units digit of d(f)?
6
Let h = 1322 - 784. What is the tens digit of h?
3
Suppose 2*g = b - 13, 4*b - 2 = -0*b - 2*g. Suppose -s - 2 = -3, 101 = b*l + 5*s. What is the units digit of l?
2
Let f(d) = -2*d**2 | {
"pile_set_name": "DM Mathematics"
} |
(a) 0 (b) 9 (c) 0.17
a
Let o = -2382.1 + 2382. What is the nearest to o in -2/13, 2/7, 32/3?
-2/13
Let x = 65355/130718 + 2/65359. Which is the closest to -11? (a) x (b) 1/4 (c) -2/5 (d) 13
c
Let n(s) = -27*s + 84. Let g be n(3). Which is the closest to -4? (a) -0.3 (b) -11/2 (c) g
b
Let c be (2*(-5)/20 - -1)*24/42. What is the nearest to c in -2, -3/2, -149?
-3/2
Let k = -13895 - -13895.6. Which is the closest to 0.049? (a) 3 (b) 5 (c) -3/8 (d) k
c
Let n be (-17)/((2 + 0)*(60/(-8) - -7)). Which is the nearest to -0.1? (a) n (b) -4 (c) 4
b
Let g = 351.38 - 349. Let p = 2.62 + g. What is the nearest to -17 in -4, 0, p?
-4
Let j = 12074 - 12070. Which is the nearest to -3/14? (a) j (b) 5 (c) 0.3
c
Let c = 11 + -29. Let r be (-39)/c - 1*2. Let j = 11678 + -11683. What is the nearest to j in -1/3, -0.2, r?
-1/3
Let t = -406.1 - -406. Let j = -276 + 281. Which is the closest to j? (a) t (b) 3 (c) -28
b
Let p = -1.1 + 1.2. Let f = -11.5 - -17.6. Let u = -5.8 + f. Which is the nearest to 1? (a) u (b) p (c) -5
a
Let z(j) = -5*j + 11. Let w be z(6). Let g be 55/w + (-7 - -10). Let i = -6.9 + 7. Which is the nearest to i? (a) -3/2 (b) 3 (c) g
c
Let a = 0.7442 - 0.9442. Let z = -0.4 - -0.4. What is the closest to a in 26, 0.2, z?
z
Suppose 5*y = 4*q - 28, -11*q = 2*y + 3*y - 77. Which is the closest to 5? (a) q (b) 9 (c) 0.3 (d) -0.2
a
Let j be 0/(1 + (-3)/1). Let r be -1 + (-466)/(-154) + j. Let s = r + -27/11. Which is the nearest to 0.1? (a) -2 (b) 2/11 (c) s
b
Suppose 99 = -104*t + 386 + 233. Let m be ((-3)/1)/(3/3). What is the closest to -71 in t, 1, m?
m
Let w be (-4 - (-280)/(-4))*(-1)/2. Let v = w - 38. Let t be (-26)/8 + 1/v + 4. What is the closest to -0.1 in t, -4, 0.2?
t
Let b = 3916 + -3915. What is the closest to -1 in 4/7, b, -17, 0.2?
0.2
Let w = 204.3 - 204.3. Let v(y) = y - 2. Let f be v(-2). Let b = f - 1. What is the nearest to -0.5 in w, b, 3?
w
Let o = 56/5 - 514/45. Let r = -342 + 138. Let s = r + 207. Which is the nearest to 3? (a) o (b) s (c) -0.1
b
Let z = 2.09 + -0.09. Let k = 149 + -166.6. Let d = -18 - k. Which is the closest to -2? (a) 0 (b) d (c) z
b
Let t = 2482 + -1741. Let m = 741.5 - t. Let b be 2 + ((-14)/9)/1. What is the closest to b in m, -5, 5?
m
Let t = 0.18 + -3.18. Suppose -x - j + 7 = 0, 9*x - 6*x - 2*j = -4. Let u be 5 - ((-54)/(-8) - x). What is the nearest to -1 in 4, t, u?
u
Let j = 35.48 + -35. Let r = 0.75 - j. Let h = r + 0.13. Which is the nearest to 2/3? (a) 2/7 (b) h (c) 3
b
Let o = -110 - -109.696. Let x = o - -0.004. What is the nearest to 0 in 41, -1, x?
x
Let u = 28862 + -28834. Which is the nearest to 2/3? (a) u (b) 1 (c) 3
b
Let l = -411.5 + 411. What is the closest to 0 in -1, 466, l?
l
Let i = 11832 - 11828. Which is the closest to -2? (a) 6 (b) -0.4 (c) i
b
Let i be 18/(-8)*2/(-3). Suppose 2*g - 82*g + 49*g = 155. What is the closest to 0.2 in i, 0.3, g?
0.3
Let z(p) = -p**2 + 6*p - 5. Let l be z(5). Let f = 28445 - 1564528/55. Let s = -15/11 - f. What is the nearest to l in 5, 0, s?
0
Suppose -5*s + 0*y + y = -12, -2*s - 3*y = -15. Suppose -4*g - 9*q + 20 = -11*q, -s*q - 26 = -5*g. Which is the closest to 0? (a) 0.038 (b) -3/7 (c) g
a
Let n = 67.32 - -283.63. Let z = 351 - n. Let k = -7 - -5. Which is the nearest to -2/9? (a) z (b) k (c) 1
a
Let q = 252 - 187. Let u = q + -65.5. What is the closest to -0.1 in 3, 19, u?
u
Suppose 13*j - 2*z = 11*j + 272, 121 = j - 4*z. Which is the closest to -1? (a) j (b) -0.1 (c) 0.4 (d) 4
b
Let t = -1501 - -1498. Let p = 0.202 + 13.798. What is the closest to p in -1/4, -7, t?
-1/4
Suppose -5*m + 20 - 9 = s, 0 = -2*s + m. Which is the nearest to -0.1? (a) -15 (b) -5 (c) -12 (d) s
d
Let k = 9 + -9.1. Let v = -0.219 + -4.781. Suppose -3*q + 4*w - 5 = 0, -5*w + 4 = -2*q - 4. Which is the nearest to q? (a) -3 (b) k (c) v
b
Let h be ((-1380)/40)/69 + -7*2/(-12). Which is the closest to -6/7? (a) h (b) -5 (c) 1/8 (d) 3
c
Let p = -10 + 2. Let t = -229 + 225. Let i = 0.383 - 0.183. Which is the nearest to p? (a) t (b) -5 (c) i
b
Let r be -4 - (-17)/(-17) - -1*(2 - 1). Which is the closest to 1? (a) r (b) -6/7 (c) 11/3
b
Let l = -497 + 499. What is the closest to l in 2, -2, -3, -1/2?
2
Let i = 528 + -876. Let p = i + 356. What is the closest to 1/4 in 5, p, 0.5, 0.4?
0.4
Let y = -4 + 6. Let t = 119.046 - 119. Let l = t + -0.146. Which is the nearest to y? (a) 4 (b) l (c) 1/3
c
Let i(o) = 247*o - 3103. Let s be i(15). What is the closest to 3 in 0.1, 0.2, s?
0.2
Let d = 0.035 + -0.035. Let s = -0.2111 - -91.2111. What is the nearest to d in 3/2, 0.5, s?
0.5
Let r = 2800.9 + -2801.4. Let n = -41/354 + -3/59. Let m be 2 - (9/(-5) - -3). Which is the nearest to -3/5? (a) n (b) r (c) m
b
Suppose 12 - 4 = 4*o. Let u(w) = 32*w**2 + 289*w + 8. Let q be u(-9). Which is the closest to 3? (a) o (b) -0.2 (c) q
a
Let n be (-1)/(-4) + 1/12. Let y = -7/232 + -341/232. Which is the nearest to n? (a) 4 (b) y (c) 28
b
Let q = -23035/34548 - -1/11516. Let c(l) = -l + 3. Let p be c(4). What is the nearest to p in -23, q, 0?
q
Suppose -k = -0*k + 1. Let f be 6 + 0 - (25*39/(-65) + 20). Which is the nearest to k? (a) -3/16 (b) f (c) -2/15 (d) 4
a
Let f be -4 + 28/16 + 2. Suppose -6*a + 3*a + 27 = 0. Let u(x) = -2*x + 17. Let h be u(a). What is the closest to 0 in f, h, 3?
f
Suppose 4*i = 13*i - 5*i. Suppose 3*t - 3 = -i. Suppose 0*p - 3*p = -9. Which is the nearest to t? (a) -2/3 (b) -1/9 (c) p
b
Let p be ((-738)/(-615))/(7*2/5). Let o = -1 - -29. Let l = 28 - o. Which is the nearest to l? (a) p (b) -1 (c) -16
a
Let o = -899 - -519. Let y = o - -761/2. What is the nearest to 1 in 9, 5, y?
y
Suppose -33 = 3*x - 2*x - 4*x. Which is the nearest to -0.9? (a) -2/11 (b) -0.5 (c) x
b
Let b = -371 - -190. Let h = 181 + b. Let r = -0.07 - -0.17. What is the closest to 1 in r, h, -0.5?
r
Let h = -5.6 + 6. Let l be (-6 + 5)/(4/(-3) + 13/39). Which is the closest to l? (a) -1/11 (b) h (c) -2 (d) 6
b
Let x = 49 - -32. Let r be 3/2*(-6)/x. Which is the nearest to r? (a) 0.1 (b) 4 (c) 0.3
a
Let c = 48.49 - 48.69. What is the closest to -4 in 5, c, 2?
c
Let w = 4.357 + -4.337. Which is the closest to w? (a) 3 (b) -0.11 (c) -3
b
Let m = 2274 + -15916/7. What is the nearest to 0.4 in m, 2/151, -2?
m
Let l = -6 + 10. Let t = 196.471 - 0.471. Let n = t - 196. What is the closest to n in -0.3, 5, l?
-0.3
Let z = 1.548 + 8.452. What is the nearest to 4 in 0.2, z, -3/5, 4?
4
Let g = -12903.47 + 12838. Let h = 66 + g. Let n = h - 0.63. Which is the closest to 2/5? (a) 2 (b) n (c) -3/4
b
Let y be (-72)/(-693) - ((-48)/22 + 2). Which is the nearest to 11/6? (a) 5 (b) y (c) -4 (d) -5/4
b
Let c be (-15)/2*(-4)/6. Let u = -3 + 0. Let p = 0.024996 + -5.024996. What is the closest to u in -3, p, c?
-3
Let p = -91216/684345 - 2/45623. What is the nearest to 2/7 in 0.1, -3/5, 0.062, p?
0.1
Suppose -331*r = -447*r - 3779 - 4689. What is the nearest to 1 in r, -28, 1/6?
1/6
Suppose -273*c - 1 = 271*c - 545*c. What is the closest to 2 in -0.5, -1/109, c, -0.6?
c
Suppose 5*f - 5*b = -40, 5*b = -2*f + b + 14. Let w = -1/137 - 132/685. Let l = -0.34 + 0.04. What is the nearest to w in l, f, 3?
l
Let a be 4/(-7)*(-311)/622. Suppose 25 = -5*j, 4*s - 3*s = -3*j - 16. Let n be s + 3 + -1 + -2. What is the closest to -1/2 in n, -4/7, a?
-4/7
Let i = 434.6 + -434.73. Which is the nearest to -2? (a) -0.3 (b) -3 (c) i (d) 0.5
b
Let w be 1287/66*8/(-12). What is the closest to w in 2, -0.2, 3/7, -5?
-5
Let x = 16.15 + -19.15. What is the closest to -0.2 in 2/7, 0, x, 5/28?
0
Let s = 4.99 + -5. Let b = -100 + 102. Let p(o) = -72*o - 219. Let u be p(-3). What is the nearest to -0.2 in u, b, s?
s
Let y = -15 + 15.1. Let n = 0.4 - y. Let v = -11.52 - -11.62. What is the closest to v in 0.4, n, -4/5?
n
Let q be 15*2/(-5 - 1). Suppose 148*n - 152*n = -108. Suppose -10*h = 10*h - n*h. What is the nearest to -3/2 in q, 1/4, h?
h
Let b be (999/(-74))/((-2)/36). Let t be (-3)/4 + 8 + b/(-36). What is the closest to -2/7 in 0, 5, t?
0
Let q be ((-28)/60)/((-511)/(-438)). What is the nearest to q in 1/11, -1, 35, 0.3?
1/11
Let b = 12 + -16. Let d = 23941/57 - 420. Let h = -20/57 + d. What is the closest to h in b, 5, | {
"pile_set_name": "DM Mathematics"
} |
visor of 3058 and 22?
22
What is the greatest common divisor of 16 and 26672?
16
What is the highest common divisor of 1626 and 102?
6
What is the highest common factor of 1548 and 129?
129
Calculate the highest common divisor of 12 and 158.
2
Calculate the highest common factor of 52 and 676.
52
What is the highest common divisor of 931 and 147?
49
What is the greatest common divisor of 60 and 48?
12
What is the highest common factor of 48 and 24?
24
Calculate the greatest common factor of 495 and 88.
11
Calculate the highest common factor of 11 and 9427.
11
Calculate the highest common divisor of 38 and 1786.
38
Calculate the greatest common factor of 1502 and 4.
2
What is the greatest common divisor of 2 and 7?
1
Calculate the greatest common divisor of 92 and 1334.
46
Calculate the highest common divisor of 24 and 400.
8
What is the greatest common factor of 70021 and 49?
49
What is the highest common divisor of 2052 and 36?
36
Calculate the highest common divisor of 4896 and 320.
32
Calculate the highest common factor of 407 and 33.
11
Calculate the greatest common divisor of 285 and 342.
57
What is the greatest common factor of 12 and 720?
12
What is the highest common divisor of 8534 and 34?
34
What is the highest common factor of 13 and 8?
1
Calculate the greatest common divisor of 3552 and 864.
96
Calculate the greatest common divisor of 8032 and 32.
32
What is the greatest common divisor of 6 and 474?
6
What is the greatest common factor of 3558 and 114?
6
What is the highest common factor of 45 and 465?
15
Calculate the greatest common factor of 82 and 1763.
41
Calculate the greatest common factor of 6 and 1002.
6
Calculate the highest common factor of 174 and 5974.
58
Calculate the highest common factor of 504 and 1638.
126
What is the greatest common factor of 62 and 1519?
31
What is the highest common factor of 1550 and 200?
50
What is the greatest common factor of 1030 and 20?
10
Calculate the greatest common divisor of 28 and 2268.
28
Calculate the greatest common divisor of 3966 and 2.
2
Calculate the greatest common divisor of 1008 and 154.
14
What is the greatest common factor of 49 and 1?
1
Calculate the highest common factor of 48 and 464.
16
Calculate the highest common factor of 850 and 150.
50
What is the greatest common divisor of 5243 and 245?
49
Calculate the greatest common factor of 500 and 20.
20
Calculate the greatest common factor of 841 and 29.
29
Calculate the greatest common factor of 80 and 10.
10
Calculate the highest common factor of 9821 and 61.
61
What is the highest common divisor of 380 and 15732?
76
Calculate the greatest common divisor of 846 and 36.
18
What is the highest common divisor of 14 and 77?
7
Calculate the highest common factor of 54 and 4266.
54
What is the highest common factor of 419 and 2?
1
What is the greatest common divisor of 5 and 2545?
5
What is the greatest common factor of 405 and 315?
45
What is the highest common factor of 319 and 87?
29
Calculate the highest common divisor of 25 and 46825.
25
Calculate the highest common factor of 138 and 736.
46
Calculate the highest common factor of 315 and 45.
45
Calculate the greatest common factor of 15636 and 12.
12
What is the greatest common factor of 345 and 15?
15
Calculate the highest common divisor of 420 and 525.
105
Calculate the highest common factor of 13 and 559.
13
What is the greatest common divisor of 368 and 1058?
46
What is the greatest common divisor of 21231 and 63?
63
What is the greatest common divisor of 871 and 117?
13
What is the highest common factor of 1408 and 160?
32
Calculate the highest common factor of 33 and 528.
33
What is the highest common divisor of 1946 and 14?
14
Calculate the highest common factor of 1632 and 102.
102
What is the greatest common factor of 24954 and 18?
6
Calculate the highest common divisor of 42 and 651.
21
What is the highest common divisor of 91 and 637?
91
What is the highest common divisor of 72 and 372?
12
Calculate the highest common divisor of 1581 and 102.
51
Calculate the greatest common factor of 54 and 1278.
18
What is the greatest common divisor of 46 and 299?
23
What is the greatest common factor of 27 and 4905?
9
What is the greatest common divisor of 53 and 4187?
53
What is the highest common factor of 60 and 3180?
60
Calculate the highest common factor of 234 and 90.
18
Calculate the greatest common divisor of 90 and 1332.
18
What is the highest common divisor of 116 and 58?
58
What is the greatest common factor of 10 and 185?
5
Calculate the highest common divisor of 249 and 6.
3
Calculate the greatest common factor of 13987 and 985.
197
Calculate the highest common divisor of 22 and 11.
11
What is the greatest common divisor of 62 and 8649?
31
What is the highest common divisor of 175 and 2135?
35
Calculate the greatest common factor of 344 and 12556.
172
What is the greatest common factor of 968 and 30?
2
What is the greatest common factor of 7897 and 159?
53
Calculate the greatest common factor of 42 and 912.
6
What is the greatest common factor of 17 and 510?
17
Calculate the highest common divisor of 47 and 132493.
47
What is the highest common divisor of 148 and 5809?
37
Calculate the greatest common divisor of 140 and 252.
28
Calculate the highest common factor of 7293 and 102.
51
Calculate the greatest common factor of 572 and 884.
52
What is the greatest common divisor of 104 and 4?
4
Calculate the highest common factor of 54 and 198.
18
Calculate the highest common factor of 2 and 18.
2
Calculate the greatest common divisor of 123 and 6.
3
What is the greatest common factor of 236 and 4?
4
What is the greatest common factor of 5740 and 656?
164
What is the greatest common factor of 477 and 45?
9
Calculate the greatest common factor of 270 and 81.
27
Calculate the greatest common divisor of 13164 and 24.
12
Calculate the highest common factor of 48 and 656.
16
Calculate the greatest common factor of 7 and 161.
7
What is the highest common factor of 132 and 84?
12
What is the greatest common divisor of 608 and 96?
32
Calculate the greatest common divisor of 442 and 680.
34
What is the highest common factor of 41 and 287?
41
What is the greatest common factor of 783 and 216?
27
What is the greatest common divisor of 494 and 57?
19
What is the highest common divisor of 418 and 38?
38
Calculate the highest common divisor of 14 and 1694.
14
Calculate the greatest common divisor of 7 and 4977.
7
Calculate the highest common divisor of 1969 and 44.
11
Calculate the highest common factor of 1377 and 357.
51
Calculate the greatest common factor of 260 and 8.
4
Calculate the greatest common divisor of 170 and 160.
10
Calculate the greatest common divisor of 325 and 75.
25
What is the greatest common factor of 162 and 28?
2
Calculate the greatest common factor of 3 and 1620.
3
Calculate the greatest common divisor of 10 and 16.
2
What is the greatest common factor of 100 and 20?
20
Calculate the highest common factor of 730 and 10.
10
Calculate the greatest common factor of 9 and 1251.
9
Calculate the highest common factor of 128 and 608.
32
What is the highest common factor of 752 and 2162?
94
What is the highest common factor of 30 and 255?
15
Calculate the greatest common factor of 13 and 78.
13
What is the highest common factor of 1472 and 64?
64
Calculate the greatest common divisor of 3132 and 1798.
58
What is the greatest common divisor of 27 and 225?
9
Calculate the highest common divisor of 1276 and 44.
44
What is the highest common divisor of 272 and 119?
17
Calculate the highest common factor of 36144 and 144.
144
What is the greatest common divisor of 568 and 24?
8
What is the highest common factor of 11 and 2981?
11
Calculate the highest common divisor of 46189 and 143.
143
What is the highest common divisor of 87 and 18?
3
What is the greatest common factor of 25 and 10?
5
What is the greatest common divisor of 372 and 36?
12
What is the greatest common factor of 649 and 1003?
59
What is the highest common factor of 4223 and 41?
41
What is the highest common divisor of 508 and 16?
4
What is the highest common factor of 296 and 333?
37
Calculate the highest common divisor of 4536 and 28.
28
Calculate the greatest common divisor of 793 and 1703.
13
| {
"pile_set_name": "DM Mathematics"
} |
. Which is the nearest to k? (a) 3/4 (b) -0.08 (c) -0.2
c
Let n be -2 + 202 - (1 + 1). Let s be (-3817)/(-77)*4/(-1). Let w = s + n. Which is the nearest to -2? (a) w (b) -2 (c) 0.4
b
Let c(h) = -10*h**3 + h**2 - 2*h - 8. Let f be c(2). What is the nearest to f in -0.4, 3, 2, -4/3?
-4/3
Suppose 0 = -4*h - h - 5. Let y = -7.8 - 0.2. Let f = -5 - y. What is the closest to h in f, 0.4, 1?
0.4
Let l = -7.1 - -6.6. Let d = -21/116 + -2/29. Let z = 4 - 3.9. Which is the nearest to 1? (a) d (b) z (c) l
b
Let x = 12.1 - 16.1. Which is the closest to -3/4? (a) x (b) 5 (c) -0.4
c
Let b be (0 - -10) + -10 + 0 + -1. Let v = 0.4 - 0.3. What is the nearest to b in -0.06, v, -5?
-0.06
Let g = 8 + -7.9. Let b be 5 + ((-2)/10)/(20/450). What is the nearest to b in -4, -5, g?
g
Let z be (-3)/45 + 4/10. Let b = z - 0. Let t be (-4)/2 - 9/(-4). What is the closest to t in -0.5, b, 0?
b
Let j be 1/(-4) - 99/(-12). Let a(p) = p**3 - 27*p**2 - 59*p + 41. Let u be a(29). Suppose -j*d + 4*d - u = 0. What is the nearest to d in 0.3, 4, -1/6?
-1/6
Let j be (-4)/(-9) - (-76)/342. Which is the closest to 0? (a) 8/11 (b) -0.1 (c) j
b
Let f = 0.1 - 0.1. Let s = -176.44 + -0.56. Let u = s - -177. Which is the closest to f? (a) 4/9 (b) -4 (c) u
c
Let x be (-14 + 4420/320)*(-8)/6. What is the closest to 0.1 in 4/33, 0.4, x?
4/33
Let j = 180 + -180. Which is the closest to j? (a) -5 (b) 2 (c) 1.4
c
Let i = 79 + -55. Let y = i - 23.7. Which is the closest to -2? (a) 4 (b) y (c) -1
c
Let h = -74 - -88. Let f be -2 + -2 - h/14. Which is the nearest to 0.1? (a) -2/3 (b) f (c) 2
a
Let n = -13 + 12.84. Let v = -3.84 + n. Which is the nearest to v? (a) 0.4 (b) -1/4 (c) -0.5
c
Let m = 7 - 6. Let j be 21/6 + -5 + 2. What is the nearest to 1 in j, m, -2/3?
m
Let p = 0.19 - 0.252. Let a = -0.038 + p. What is the nearest to -1 in a, 5, -2?
a
Let w = -68 + 474/7. Let q = -0.65 + -16.35. Let j = q - -17. What is the closest to w in j, -2, -0.05?
-0.05
Let l = -82/3 + 29. Which is the closest to -2/7? (a) 4 (b) l (c) 4/5
c
Suppose -8*s = -0 - 8. Let h(l) = 6*l**3 - 3*l**2 + 2. Let i be h(s). Which is the closest to 0.1? (a) 0.4 (b) i (c) 4
a
Let j = 35.6 + -35.5. Which is the nearest to j? (a) 5 (b) -2 (c) 3
b
Let h = 2608/9 + -290. What is the closest to -0.2 in 0.3, h, 5?
h
Let t = 0.15 + -14.15. Let y = t - -13.86. Let s = -1.14 - y. Which is the closest to -1? (a) s (b) 4 (c) -0.5
a
Let v be (12/(-30))/((-1)/3). Let b = -3.31 - 0.69. What is the nearest to v in -2, b, 0.1?
0.1
Suppose -k - 5*f = -32, k + 5*f = -3*k + 53. Suppose -5*b + 2*n = k*n, -b + 3 = -2*n. Let t = 3 - 3. What is the nearest to -2/7 in t, -2, b?
t
Let n(v) = -2*v**2 - 9*v + 10. Let l be n(1). What is the closest to -1 in 1/3, -2/17, l?
l
Let c = -38 + 37. Let j = -1/3 - -11/15. What is the nearest to c in -0.4, j, -12?
-0.4
Let n = -1 + 1. Let d = 801/20 - 393/10. What is the closest to 2 in n, d, 1?
1
Let s = -1.243 + 6.243. Which is the nearest to -7? (a) 1 (b) -1/3 (c) s
b
Let z = 358 - 358. Suppose 0*y + 5*y = -20. Let l = 0 - -0.1. Which is the nearest to -1? (a) z (b) y (c) l
a
Let f = 11.93 - -0.07. Let b = f - 7. Let q = -470 + 470. What is the nearest to q in b, -3/10, 4/3?
-3/10
Let k = -137.8 - -138. Which is the nearest to 10? (a) k (b) 3 (c) -4
b
Let c = -29.37 - -0.37. Let x = c - -28.7. What is the closest to -1/2 in x, 4, 1/7?
x
Let l be (-1)/(-4) + (-13)/36. Let i = 1442 - 1443. Which is the closest to -2/7? (a) i (b) l (c) -2/11
c
Suppose 4*o + 12 = 5*z - 5, z + o = -2. What is the closest to 6 in -3, z, -0.5?
z
Let o = 1 - -2. Suppose -u = -4*t - 3, u - 6 = -3*t - u. Let z = 251/4 - 505/8. Which is the closest to t? (a) -4 (b) o (c) z
c
Let l be (-46 - -44)/(3/6). What is the closest to l in -5, -12, -2, -0.5?
-5
Let r = 2.37 + -0.47. Let w = r + -3.9. What is the nearest to -2/3 in w, -4, -2/13?
-2/13
Let w = 158.9 - 27.9. Let q = w - 133. Let t = 3 + -2. What is the closest to 0.2 in t, -1, q?
t
Let p = 10 - 12. Let z = -1.5 + 5.5. What is the nearest to 3 in -1/3, p, z?
z
Let v = -2.1 - -1.1. What is the closest to v in 5, 2, -3?
-3
Let k = -5605 - -5607. Let h(i) = i**2 - 4*i + 4. Let f be h(4). Let l be 24/(-5) - (-3)/(-15). Which is the closest to 0.1? (a) f (b) k (c) l
b
Let n(q) = -q**2 - 16*q - 10. Suppose 5*p - 90 = 5*r, 2*r + 3*p + 23 = 2. Let b be n(r). What is the closest to -4 in b, 1/8, 0?
0
Suppose -3*k = 5*r + 7, 3*r + 5*k + 7 = -10. Let y = 4004 - 4003.8. Which is the closest to r? (a) -0.06 (b) -2/9 (c) y
c
Let s = -48.76 - -48.7. Let z be -2*(-2 + (-26)/(-14)). What is the nearest to -1/3 in s, -2/15, z?
-2/15
Let o = 349726/3 + -110807. Let g = 5695 - o. Let u = g + 74. Which is the closest to 1? (a) 4 (b) u (c) -0.3
b
Let b = 7 - 6. Let w be (116/30 + 36/(-9))/1. Let p = 0.1 + -0.2. What is the nearest to p in w, 5, b?
w
Suppose -3*r - 5*l + 34 = 0, -r + 2*l - 12 = -l. Let m be 1 - (-19)/(114/(-4)). Which is the closest to 0.2? (a) m (b) -3 (c) r
a
Let n(s) = -2*s + s - 1 - 7. Let g be n(-7). Let j = -16.8 + 17. What is the nearest to g in -2/9, 1, j?
-2/9
Let m be (-27)/(-4) - 12/16. Suppose -4*w = -18 - m. Let z be (4/3)/(w/(-18)). What is the closest to -1 in -1, 5, z?
-1
Suppose z = 6 + 10. Let x(b) = 2*b - 31. Let d be x(z). What is the closest to d in 6, 1, 0.3?
1
Let q(w) = -3*w + 2. Let s be q(4). What is the nearest to -3 in 8/7, s, -2?
-2
Let w be (8 - 0) + (-12 - (-12 - -7)). Let d = -94 + 56. What is the closest to w in d, -3, 3/7?
3/7
Let w(p) = -2*p - 18. Let n be w(-15). Let v be -1*(-8)/n*3. Suppose -5 = -v*q - 3. What is the closest to 0.2 in 2/5, -0.1, q?
2/5
Suppose 11*q + 12 = 8*q. Suppose 2*y + 5*k - 3 = -6, -3*y - 4*k - 1 = 0. Which is the nearest to -0.01? (a) -0.4 (b) q (c) y
a
Let m = 1.421 - 1.321. Which is the closest to -0.07? (a) 7 (b) 6/5 (c) m (d) -3
c
Let i = -21.2 - -16. Let o = i + 1.2. What is the closest to 1.8 in 0.4, o, 2/11?
0.4
Let g = 119 + -121. Which is the nearest to -6? (a) -2/5 (b) 5 (c) g
c
Let w = -3 - -2.9. Let k = 1013/4020 - 2/1005. What is the nearest to -1 in k, w, -11?
w
Let t = 37 - 1075/29. Let q = 0.39 + 0.01. Which is the nearest to -0.1? (a) q (b) t (c) 5
b
Let n(y) = -y + 33. Let a be n(19). Suppose -5 = -a*h + 9*h. What is the closest to h in -0.1, -5, 4?
-0.1
Let q be ((-42)/(-12))/1*6/21. Which is the nearest to 2/7? (a) 0.5 (b) -4 (c) 0.4 (d) q
c
Let n be 2*(4/(-10) + 0). Suppose j = -3*j + 4, 23 = -3*d + 5*j. Let m be (-1)/(-1)*(d - -10). Which is the nearest to 0.1? (a) n (b) 0 (c) m
b
Let f = 13.8 - 2.8. Let d = f - 10.8. Let v = -0.08 + -0.92. What is the closest to d in 1, v, -4?
1
Suppose 5*u - 12 - 18 = 0. Suppose -u + 9 = p. Suppose -p*v - v = 20. What is the nearest to 0.1 in v, 1, -4/7?
-4/7
Let y = -1.3 + 0.3. Let o = 105 - 528/5. What is the nearest to 1 in o, -1/3, y?
-1/3
Let q = 31 + -21. Suppose x + 2*z + 5 = 0, z + q = -2*x + 6. Let t be ((-14)/(-8) + -2)*1. What is the nearest to x in -2/5, t, -1/2?
-1/2
Let t = -0.758 + 0.358. What is the nearest to 11/9 in -1, -0.5, t, -2/7?
-2/7
Let n = 78/5 + -141/10. What is the nearest to -15 in n, -4, -11?
-11
Let j be ((-6)/10)/(9/(-15)). What is the nearest to j in 1/4, -2, -1/3?
1/4
Let b = 68/7 + -69/7. Let p = -180/89 - -1446/979. What is the nearest to 43 in 5, b, p?
5
Let h = -22.6 - -24.6. Let n = 0.02 + -0.42. What is the closest to 0.2 in h, n, 4?
n
Let x = -0.05 + 0.23. Let v = -0.29 + x. Let t = v - 0.39. What is the closest to -0.1 in -5, t, -2?
t
Let a(w) = 4*w - 42. Let p be a(11). What is the closest to -1/4 in p, -1/4, 4, -3?
-1/4
Let d = 253 - 252. Which is the nearest to -7? (a) -3/2 (b) d (c) 0.1
a
Let j = 11.2 + -11.4. Which is the closest to j? (a) 2/23 (b) -4 (c) -1
a
Suppose -3*r + 18 = 2*x, -1 = -3*x + 3*r - 4. Let p = -157 - -157. Which is the nearest to 2? (a) x (b) p (c) -1/5
a
Suppose -3*u = -h + 68, 4*u = -4*h + 177 + 31. Suppose -5*r + h = -r. Let v be (2/(-6))/(r/63). Which is the nearest to 0.1? (a) -4 (b) v (c) -0.3
c
Let a = 7.2 - 7. What is the nearest to a in 5, -2, 3/2?
3/2
Suppose -42 - 42 = 42*q. Let f = 0.4 - -0.1. Which is the nearest to q? (a) -2 (b) 5 (c) f
a
Let f = -0.26 - -1.26. Suppose a - 2 - 3 = 0. Su | {
"pile_set_name": "DM Mathematics"
} |
iisiiaiiiitsiqii. Give prob of picking 2 i and 1 t.
13/95
Two letters picked without replacement from {k: 1, w: 3, f: 5, x: 1}. What is prob of picking 2 w?
1/15
What is prob of picking 2 t when two letters picked without replacement from uuuututuuuutututtuu?
5/57
Two letters picked without replacement from {j: 7, d: 6}. What is prob of picking 2 j?
7/26
What is prob of picking 1 e, 2 b, and 1 n when four letters picked without replacement from bbbbnbbnnnnbebnene?
49/255
Four letters picked without replacement from {z: 9, g: 5}. Give prob of picking 2 g and 2 z.
360/1001
Four letters picked without replacement from {o: 3, c: 5, e: 6, p: 1}. What is prob of picking 4 c?
1/273
Two letters picked without replacement from krrpgrprprkgkkpkp. Give prob of picking 1 r and 1 k.
25/136
Calculate prob of picking 2 e when two letters picked without replacement from ffffefeffefwfff.
1/35
Three letters picked without replacement from {p: 5, z: 7}. What is prob of picking 2 p and 1 z?
7/22
Three letters picked without replacement from qqqqqoqqqqqoqqqqqooq. Give prob of picking 3 o.
1/285
Calculate prob of picking 4 f when four letters picked without replacement from zffzffzf.
1/14
Three letters picked without replacement from {o: 3, l: 3, w: 1, y: 2, f: 6}. Give prob of picking 2 o and 1 w.
3/455
Two letters picked without replacement from nvxxxny. Give prob of picking 1 y and 1 v.
1/21
What is prob of picking 1 o, 1 c, and 1 k when three letters picked without replacement from {c: 2, o: 2, z: 1, k: 1, t: 2, n: 5}?
2/143
What is prob of picking 1 p and 1 w when two letters picked without replacement from {p: 2, i: 2, b: 1, e: 1, w: 1, l: 1}?
1/14
Two letters picked without replacement from ppmmpmcmpwwepc. What is prob of picking 1 p and 1 e?
5/91
Four letters picked without replacement from tejeteetteftjjept. Give prob of picking 2 e, 1 t, and 1 p.
9/238
What is prob of picking 1 s, 1 o, and 1 g when three letters picked without replacement from goossps?
6/35
What is prob of picking 1 i, 1 f, and 2 e when four letters picked without replacement from eefiuree?
3/35
Three letters picked without replacement from {u: 2, i: 3, z: 4}. Give prob of picking 1 z and 2 u.
1/21
Calculate prob of picking 1 r, 1 z, 1 e, and 1 j when four letters picked without replacement from oorooozosorejjo.
4/1365
Two letters picked without replacement from {k: 6, e: 1, x: 7, m: 6}. Give prob of picking 1 x and 1 e.
7/190
Calculate prob of picking 1 o, 2 z, and 1 x when four letters picked without replacement from wxrzovzxzxwwzz.
30/1001
What is prob of picking 1 x and 1 a when two letters picked without replacement from {x: 2, a: 1, w: 3, i: 4}?
2/45
Calculate prob of picking 3 z and 1 l when four letters picked without replacement from {z: 6, l: 1, i: 9, b: 3}.
5/969
What is prob of picking 1 r and 1 m when two letters picked without replacement from {r: 6, m: 2, f: 5}?
2/13
Calculate prob of picking 2 r and 1 z when three letters picked without replacement from xrzrxrxzzzzxx.
15/286
What is prob of picking 3 g when three letters picked without replacement from gllglglglll?
4/165
Three letters picked without replacement from bbjpwpsjppjpp. What is prob of picking 1 s, 1 j, and 1 p?
9/143
What is prob of picking 1 p and 2 u when three letters picked without replacement from {u: 2, p: 3, e: 3}?
3/56
Two letters picked without replacement from {p: 5, y: 7}. What is prob of picking 2 y?
7/22
Two letters picked without replacement from {m: 1, l: 3, c: 5}. What is prob of picking 1 l and 1 c?
5/12
What is prob of picking 2 n and 1 k when three letters picked without replacement from {n: 8, k: 3, f: 5}?
3/20
What is prob of picking 2 q and 2 s when four letters picked without replacement from sqqssps?
6/35
Calculate prob of picking 1 v and 1 z when two letters picked without replacement from vczzzvcuuuvvc.
2/13
What is prob of picking 1 d and 1 e when two letters picked without replacement from {v: 2, m: 4, d: 1, x: 1, e: 11}?
11/171
Calculate prob of picking 1 a, 1 s, and 1 t when three letters picked without replacement from arrbsjbt.
1/56
Calculate prob of picking 4 g when four letters picked without replacement from ddgggg.
1/15
Four letters picked without replacement from {g: 1, x: 4, i: 2, z: 2, j: 3, c: 8}. What is prob of picking 1 i and 3 z?
0
Two letters picked without replacement from zahtkahktaea. Give prob of picking 2 a.
1/11
Three letters picked without replacement from {s: 7, r: 4, n: 6}. What is prob of picking 1 s and 2 r?
21/340
Two letters picked without replacement from {r: 6, u: 1, f: 4, j: 3, n: 3, o: 2}. Give prob of picking 1 j and 1 r.
2/19
What is prob of picking 3 l when three letters picked without replacement from lllllllllllllbllllll?
17/20
Three letters picked without replacement from {i: 10, d: 4}. What is prob of picking 3 i?
30/91
What is prob of picking 2 q when two letters picked without replacement from qtqf?
1/6
Two letters picked without replacement from hthln. Give prob of picking 1 t and 1 n.
1/10
Calculate prob of picking 3 f when three letters picked without replacement from {f: 10}.
1
What is prob of picking 1 m and 3 n when four letters picked without replacement from nmnnmnnnmnnmnnnnnnnm?
455/969
Four letters picked without replacement from {x: 2, h: 1, n: 4, y: 3, c: 4}. What is prob of picking 2 n, 1 x, and 1 h?
12/1001
What is prob of picking 1 f and 1 w when two letters picked without replacement from wwwfwwwwwfiwwwwwt?
13/68
Calculate prob of picking 1 w and 1 e when two letters picked without replacement from {o: 1, q: 3, w: 3, b: 2, l: 1, e: 2}.
1/11
Four letters picked without replacement from {p: 10, d: 5, t: 1, y: 4}. What is prob of picking 1 t and 3 d?
2/969
Calculate prob of picking 2 c, 1 b, and 1 t when four letters picked without replacement from {t: 5, b: 1, q: 3, v: 3, h: 1, c: 2}.
1/273
Calculate prob of picking 1 l, 1 g, and 2 u when four letters picked without replacement from {n: 2, v: 1, b: 2, l: 1, u: 2, g: 4}.
4/495
Four letters picked without replacement from {h: 5, w: 2, p: 1, b: 3, s: 1}. What is prob of picking 1 p, 1 b, 1 s, and 1 h?
1/33
What is prob of picking 4 s when four letters picked without replacement from sssshssssssssshhssh?
455/1292
Calculate prob of picking 1 o and 1 w when two letters picked without replacement from ruobuuwu.
1/28
Two letters picked without replacement from {s: 8, x: 1, i: 5, w: 2}. Give prob of picking 2 s.
7/30
Calculate prob of picking 1 a and 1 y when two letters picked without replacement from ooamhmmaommyaao.
4/105
What is prob of picking 1 g and 1 s when two letters picked without replacement from gnxlulunusns?
1/33
Two letters picked without replacement from {d: 12, v: 3}. What is prob of picking 2 d?
22/35
Four letters picked without replacement from iiiigiiizdiiz. Give prob of picking 2 z, 1 g, and 1 d.
1/715
Three letters picked without replacement from {n: 1, p: 1, j: 1, s: 2, i: 2, h: 1}. Give prob of picking 1 h, 1 j, and 1 p.
1/56
What is prob of picking 2 x and 2 n when four letters picked without replacement from xnxxnnnnnnx?
21/55
Calculate prob of picking 2 i when two letters picked without replacement from rrirjijrrirrrrrjri.
2/51
Four letters picked without replacement from nnvrlnvvvclnlc. What is prob of picking 2 v, 1 l, and 1 r?
18/1001
Calculate prob of picking 2 o and 1 n when three letters picked without replacement from ooon.
3/4
What is prob of picking 4 s when four letters picked without replacement from vvvvssvvvvvssv?
1/1001
Calculate prob of picking 1 d and 1 y when two letters picked without replacement from ppypppdpppdppp.
2/91
Calculate prob of picking 1 w, 1 f, and 1 v when three letters picked without replacement from fpwvwpwwvv.
1/10
Two letters picked without replacement from {o: 2, l: 5, k: 2}. Give prob of picking 2 o.
1/36
Three letters picked without replacement from {j: 2, w: 3, y: 8, n: 3}. What is prob of picking 1 n, 1 y, and 1 w?
9/70
Three letters picked without replacement from hbqbjobjbbbmbb. What is prob of picking 1 m, 1 q, and 1 b?
2/91
What is prob of picking 2 a and 1 h when three letters picked without replacement from sambssambmsassmmahmm?
1/190
Calculate prob of picking 3 j and 1 p when four letters picked without repl | {
"pile_set_name": "DM Mathematics"
} |
.82. What is the third biggest value in x, v, 1/4, 2/5?
1/4
Suppose 0 = -5*t + 4*u + 39 - 8, -20 = -4*t + 4*u. Which is the smallest value? (a) -3/10 (b) t (c) 0
a
Let g = -0.924 - 0.156. Let r = -0.78 - g. Suppose 2*z + j = -4*j - 4, 21 = 5*z - 3*j. Which is the second biggest value? (a) 8 (b) r (c) z
c
Suppose -1175*q = -864*q - 622. What is the second smallest value in q, -3, 1.032?
1.032
Let v be ((-14)/6 - -3) + (-8)/30. Let n = -379.2 - -377. Let i be (-2)/(-3) - (-32)/(-66). What is the third biggest value in v, i, n?
n
Let n = 228 + -150. Let h = n - 64. Which is the smallest value? (a) 2/9 (b) -2 (c) h
b
Let k = 6714.8 - 6715. Let z = -19 - -19.1. Which is the third smallest value? (a) z (b) k (c) -92
a
Let o be (-20)/5 - 2022*2. Let l = 19933/5 + o. Let z = -61 - l. Which is the second biggest value? (a) z (b) 3 (c) 1
c
Let v = 373/3 + -126. Let i = 75.6 + -66. Let t = 18.6 - i. Which is the third biggest value? (a) 3/2 (b) v (c) t
b
Let q = 66620 - 66620. Let y = 0.4 - 0.2. Let z = 0.1 - y. Which is the second smallest value? (a) 0.08 (b) z (c) q
c
Let l be ((-1015)/435)/((-21)/3). Let u = 0.2 + 1.8. Let k = 0.6 - 0.1. Which is the smallest value? (a) k (b) 4 (c) u (d) l
d
Let p = 2979/32285 + -4/2935. What is the smallest value in p, -1, 0.2, -134, -0.4?
-134
Let y = -1869 - -1873. Suppose -2*o + 23*r - 19*r - 18 = 0, -2*r + 5 = -5*o. What is the smallest value in 4/7, 8, o, y?
4/7
Let p = 197 + -201. Let x = -145/6 - -24. Which is the smallest value? (a) -3 (b) x (c) 0.3 (d) p
d
Suppose -70 = 8*k - 1638. Suppose k = 3*f + 181. What is the biggest value in 0, f, 0.13?
f
Let n = 23.3 - 18.3. Let j = 0.69 - -8.31. What is the second biggest value in -3, j, -3/5, n?
n
Let u = 16638422/599495 - 2/9223. Let m = u + -138/5. Let k = 2 - 3. Which is the fourth biggest value? (a) k (b) 0 (c) m (d) 4/3
a
Let w be 2/5 - 12/10. Let l = -84825 + 84834. Which is the third smallest value? (a) 3 (b) w (c) -0.4 (d) l
a
Let u = 1.7078 + -1.6078. What is the biggest value in -0.3, 20, u, -3?
20
Let s be (8 - (-136)/(-8)) + 136/16. Let l be (-87)/(-178) + 4/(-8). Which is the fourth smallest value? (a) 5 (b) s (c) 0 (d) l
a
Let o = 7805 + -7808. Which is the fourth smallest value? (a) o (b) -5 (c) 13 (d) 4 (e) 0
d
Let z be 24/(-14) - (-4)/(-14). Let t be (-118)/(-40) + (-70)/(-525) + -3. Which is the smallest value? (a) 2 (b) 3 (c) z (d) t
c
Let t be (8/72)/((-4)/(-16)). Let v be 10/(-4) - 6/(-4). Which is the third smallest value? (a) t (b) -0.3 (c) -0.04 (d) v
c
Let s be (-13 - 9) + 124/6. Let v = 3.98 + 0.02. Let j = 2/17 - -9/68. What is the smallest value in s, j, v?
s
Let g = -87.06 - -87. Let w = 0.3 + -1.3. Let u = 2119 + -2118.6. What is the biggest value in u, g, w, -2/11?
u
Let p be ((-114)/10 - -11)*-1. What is the fourth smallest value in 7, -2, p, 0.1?
7
Let v = 3314 - 13255/4. What is the fourth biggest value in -0.1, v, 7, 0?
-0.1
Let l be (-1077)/12 + 2 + 63/(-28). What is the fourth biggest value in l, -3, -5, 0.2?
l
Let p = 2 + -1. Let x = -0.02872 - -2.02872. Which is the second smallest value? (a) x (b) 19 (c) -4 (d) p
d
Let o = -4.1265 - -4.2265. What is the third smallest value in 0.072, o, 6?
6
Let i = 402 + -307.6. Let y = i + -94. Let z = 2.01 + -0.01. Which is the fourth smallest value? (a) z (b) 1/5 (c) y (d) 1
a
Let f = -50.073 - -0.073. Let l(m) = -2*m**3 - 172*m**2 + 313*m - 3430. Let q be l(-88). Which is the fourth smallest value? (a) 2/13 (b) q (c) f (d) -0.2
b
Let p = 27 + -27.56. Let d = 24.44 - p. Let u = 25 - d. Which is the third biggest value? (a) -0.01 (b) 0.2 (c) u
a
Suppose 3*g - 6 + 3 = 0. Let v = 147 + -147. Let k = 0 - 4. Which is the biggest value? (a) v (b) g (c) k (d) -0.03
b
Let n = -36542 - -36542.2. Which is the third biggest value? (a) -32 (b) 53 (c) n
a
Let q = 0.06 + -3.06. Let r = -2.6274 + -1111.2726. Let m = r + 1114. Which is the fourth smallest value? (a) -2 (b) -1 (c) q (d) m
d
Suppose 13*w - 140 = -15*w. Let u be (w/25)/(105/(-75)). Let x = -0.5 + 0. Which is the smallest value? (a) -14 (b) x (c) u
a
Let g = -5.2 - 4.1. Let w = 9 + g. What is the fourth smallest value in -0.5, w, 1/5, -2?
1/5
Let x = -7.6 + 7.602. Let q = -22.002 + x. Let f = -217/6 + 36. What is the smallest value in f, -2/5, q?
q
Let t = 29/105 + -1/7. Let u = -14868.8 - -14869. What is the third biggest value in t, 29, u?
t
Let f be (-19)/(1197/(-28))*-9. What is the biggest value in f, 0.4, 592?
592
Let r = -1488 + 778. Let q = 709.6 + r. Which is the third smallest value? (a) 1 (b) -0.2 (c) q
a
Let y = 163.7 - 159.7. Which is the third smallest value? (a) -164 (b) y (c) -1 (d) -0.4
d
Let v be 14/(-44)*(-68)/(-9401). What is the biggest value in v, 0.07, -0.3?
0.07
Let q = 92.7 - 92.3. Let k = -71 - -70. What is the second smallest value in 0.9, k, q, 1/2?
q
Let x = -3 - -3.5. Let s = -10193/5 - -2038. Which is the third biggest value? (a) -1.3 (b) x (c) s
a
Let u = -97/1334 - 85/8004. Let c be (-4)/(-10) + 23/5. What is the third biggest value in -1/5, u, 2/13, c?
u
Let s = -0.0588 + 317.0588. Let j = 322 - s. Which is the third biggest value? (a) 0.1 (b) j (c) -50
c
Let g(v) = -v**3 - 32*v**2 + 2*v + 72. Let j be g(-32). Let d = j - 31/4. What is the second smallest value in 0.1, -3, d, 2/13?
0.1
Let x = -31.94 - -31.99. What is the second smallest value in -3, 65, x?
x
Let x be (-55)/(-45) + (-200)/180. Which is the third smallest value? (a) 33 (b) 2/11 (c) x
a
Let y = 2 + -7. Let o = 98260/3 + -32753. What is the smallest value in -0.1, y, o, 0.2?
y
Let f = -42.2 + 68.3. Let j = -25.7 + f. Let y(b) = -b**3 + 4*b**2 + b - 4. Let d be y(4). What is the biggest value in d, j, 1/4?
j
Let l be 798/224*(-2 + (-4)/3). Let z = 93/8 + l. What is the second biggest value in -2, 0.8, z?
z
Let g = 104 + -55. Let z = -207 + 154. Let w = z + g. Which is the second biggest value? (a) w (b) -0.1 (c) 0
b
Let d be ((7 + 1)/2)/(4/(-2)). Let y be (-2812)/(-152) - d/4. Which is the biggest value? (a) y (b) -3/4 (c) 4
a
Let a = -1.9731 - 0.0269. Let z(n) = n**3 - 14*n**2 - 2*n - 41. Let o be z(15). What is the biggest value in a, -4/5, o?
o
Let q = -12 + 7. Let s(g) = -19*g - 27. Let z(r) = -6*r - 11. Let i(b) = -2*s(b) + 7*z(b). Let t be i(q). What is the second biggest value in 1/4, -4, t, -2?
-2
Suppose 8*u + 290 = 34. Let x = u + 93. Let z = -245/4 + x. Which is the second biggest value? (a) 3/7 (b) z (c) -4/3 (d) 0.27
d
Suppose 0 = 5*n + m + 2*m - 19, -2*n + m + 12 = 0. Let c = 5.2 - -18.8. Let l = -27 + c. What is the second smallest value in n, 0.4, l?
0.4
Let y = 0.46787 + -0.36787. Let r = 3 + -2.8. Let i = 0.2 - r. What is the second smallest value in 0.05, y, 4/7, i?
0.05
Let n = -3886 - -42785/11. Let x be (173/(-20))/(11/(-4)). Let k = x - n. Which is the second smallest value? (a) -0.3 (b) 0.4 (c) k (d) 5
a
Let t = 11 + -13. Let n = -5.1013 - -0.1013. What is the third biggest value in t, 1, n, -3?
-3
Let w = -270 - -169. Let s = -98 - w. Let d = 2.7 - s. What is the biggest value in -38, -5, d?
d
Let p be (-318)/901*3/9. What is the third smallest value in 713, 2, p?
713
Let p = -646.66779 + 0.06779. Let t = -647 - p. What is the third biggest value in t, 0, 22/5?
t
Let y = -8976 - -9130. What is the biggest value in y, 4, 1/7, 3?
y
Let m = 195 + 58. Let b = m - 256. What is the fourth biggest value in -1, b, 2/5, -2/3?
b
Let m = -0.197 + -99.803. Let k = m + 103. Which is the second biggest value? (a) 1/6 (b) k (c) -11
a
Let r = 20.683 + -20.283. Let g = 306/35 - 64/7. Which is the fourth smallest value? (a) r (b) g (c) -1/2 (d) -1
a
Let o = 4.7 - 4.6. What is the fifth smallest value in -1, o, -45, -2/9, 0?
o
Let c = -229.9 + -3.1. Let h = c - -228. What is the fourth smallest value in 16/5, h, 0, -4?
16/5
Let k be ((-6)/(-5))/(11/(-55)). Let z be (-1)/k - 5/(-90). Let d = 386 + -1936/5. Which is the third biggest value? (a) d (b) 4 (c) z
a
Let r = 7 + -12. Let y = 15267 - 15263. Which is the third smallest value? (a) y (b) r (c) 2/7 (d) 1
d
Let b = 5.359 + -4.859. What is the second biggest value in 2, -29, b, -5, 4?
2
Let h = -4 - 4. Let y = -219 + -610. Let v = 829.4 + y. Which is the thi | {
"pile_set_name": "DM Mathematics"
} |
k and b?
126
Let k = 18 - 15. Suppose 5*g + 2*u + k*u + 110 = 0, -4*g - 84 = 3*u. Calculate the lowest common multiple of 4 and -1 + (-5)/(10/g).
8
Suppose 5*g = 10*y - 11*y + 8, 96 = 4*y + 4*g. Calculate the lowest common multiple of y and 13.
364
Let v = 416 - 398. Suppose 10 = 3*n - 8. Calculate the smallest common multiple of n and v.
18
Let g = 1144 - 15917/14. Calculate the common denominator of -103/1216 and g.
8512
Calculate the common denominator of 1/112 and -74 + 68 + 17/14.
112
Suppose 28 = 10*y - 8*y + 4*a, -y - 4*a + 8 = 0. What is the least common multiple of y and 14?
140
Suppose -9 = -y + m, -5*y + 2*m = 7*m - 75. What is the lowest common multiple of 3/(-6) + (-25)/(-2) and y?
12
Let k = -91 - -95. Calculate the least common multiple of 18 and (2/5)/((-7)/(-1540)*k).
198
Let u = -393197/18 - -21838. Let h be (-5042)/42 + 6/(-9). Let d = h + 17229/140. What is the common denominator of u and d?
180
Let d(q) = -q + 1. Let o(a) = a. Let l(u) = -6*d(u) + o(u). Calculate the smallest common multiple of 5 and l(2).
40
Let l = 540 - 59. Let t = -1977/4 + l. Calculate the common denominator of t and 3/(-120)*150/20.
16
Let x = 0 + 8. Suppose -3*i + 242 = 131. Let f = -27 + i. Calculate the lowest common multiple of f and x.
40
Let u = -932/129 - -3791/860. What is the common denominator of 83/66 and u?
660
Let z(s) = -2*s + 103. Calculate the least common multiple of z(48) and 11.
77
Let v = -9115/4 - -2302. What is the common denominator of v and (-4368)/351 - (-19)/((-57)/(-30))?
36
Let f be (-3 - (-75)/21) + (-29234)/77. Let y = f + 36859/99. Find the common denominator of y and -95/8.
72
Let f = -41050239/8980 + -2473/898. Let j = f + 4575. Calculate the common denominator of (1 + 56/3)*117/156 and j.
20
Let u = 6 + -2. What is the common denominator of 1 - 25*(-2)/(-12) and u*(-1)/2 - (-69)/27?
18
Let c = -483 + 3011/6. Let j = -153318/25 + 6131. Find the common denominator of j and c.
150
Find the common denominator of 115/24 and 3*(-7)/(-3) - 986/147.
1176
Let a = -580589/485128 - -3/8663. What is the common denominator of -28/3 and a?
168
Let o = 2 + 0. Let a be (-23)/(-7) + (-4)/14. Suppose -a*f + 140 = o*f. What is the smallest common multiple of f and 18?
252
Suppose 812 - 42 = 5*y. Suppose 3*p = -12, -3*l - 6*p + 2*p = y. Calculate the common denominator of 4/(-2 + (-96)/l) and -21/2.
2
Let k be 8/6*(4 - 1). Suppose -u = 3*u - k*h - 16, 0 = h + 5. Calculate the lowest common multiple of 6 and u + (3 + -3 - -11).
30
Let w = 778943/290 - 2686. Let d = -2539/145 + w. Find the common denominator of d and -107/6.
6
Find the common denominator of -15/436 and 1/(-1) - -2 - 135/(-6).
436
Let l be (-6 - -2 - -2) + -5 + -5. Find the common denominator of -23/12 and (189/l - -1)/(-6).
24
Suppose 0 = -5*f + 5, g + 13 = -2*g + f. Let a be (-12)/9*(g + -2). Suppose 5*i = 2 + a. Calculate the least common multiple of i and 6.
6
Let l(f) = -188*f - 867. What is the least common multiple of l(-11) and 11?
13211
Find the common denominator of -17 and (2/32)/((-561)/(-81) + -7).
32
Calculate the common denominator of 89/8 and ((-2)/(-12))/((-130)/(-3627)) - 5.
40
Suppose 17 = 5*y - 4*y - 5*x, 2*y - x - 43 = 0. Suppose -5*d - 2*c - 117 = 113, c + 139 = -3*d. Let w = d + 56. What is the lowest common multiple of y and w?
88
Suppose -3*o - 22 + 40 = 0. Let u = -6 - -24. What is the lowest common multiple of u and o?
18
Suppose -2*z + 6*z = 4*n + 45248, 5*n - 33960 = -3*z. Let l = z + -135629/12. What is the common denominator of 39/2 and l?
12
Let z be (40/10)/(3/((-6)/(-4))). Suppose d = -4*d + k - 55, 2*d = -z*k - 22. Find the common denominator of d and -23/3.
3
Let h(m) = -m + 7. Let s be h(5). Suppose 0 = s*y - 3 - 13. Suppose q = 2*w - 3*q - 22, 0 = 3*w + 3*q - 15. What is the lowest common multiple of w and y?
56
Suppose -5*i + 42 = t, 6*t = 2*t + 4*i + 96. Suppose 4*h - h - 27 = 0. Calculate the lowest common multiple of (32/24)/(6/t) and h.
18
Let m = -1854 - -1896. Calculate the lowest common multiple of 36 and m.
252
Suppose 2*t = -3*r + 7*r - 8, -6 = 3*t. Let z(a) = -a + 4. What is the lowest common multiple of z(r) and 1?
3
Suppose q - 87 - 70 = 0. Suppose -m = 3*m + 5*b + q, -4*m - 152 = 4*b. Let n = m - -40. Calculate the least common multiple of n and 6.
42
Suppose -4 = 2*a, 5*n - 5*a = -7*a + 36. What is the least common multiple of n and 126?
504
Let q = -1381/666 + -11/74. Calculate the common denominator of q and -5 + 12/(-252)*(-25 + -1).
63
Suppose -4*u = 2*y - 736 - 84, -4*y + 1655 = 5*u. Calculate the common denominator of 2/11 and (-904)/y + (-4)/30.
77
Suppose 12*l - 143 = -l. Calculate the common denominator of 14 and 3 - (-3 + (-1 - (-101)/l)).
11
Suppose 2*c = -0*c + 42. Let i = -28 + c. What is the common denominator of (273/(-30))/i + 2 and -19/8?
40
Let f = -389 + 413. Calculate the least common multiple of f and 42.
168
Let t(z) = -z**2 + 2*z + 2. Let q be (-5 + 10)*(17/5 - 3). What is the lowest common multiple of 6 and t(q)?
6
Let r = -12 - -15. Let v be 2 - (r + (38 - -1)). What is the common denominator of (-259)/(-40) + 24/v and -46/13?
104
Let c be (-4 - -67)*(-4)/(-6). Suppose -3*b + 2*b - g = 36, 4*g = -3*b - 104. Let s = c + b. Calculate the least common multiple of s and 30.
30
Let b = -63 - -89. Let u = b + -22. Calculate the least common multiple of u and 12.
12
Let b = -2725/9 - -53897/180. Find the common denominator of b and 33/155.
620
Let c = 580 - -411. Calculate the smallest common multiple of 8 and c.
7928
Suppose -4*c = w - 79 - 438, 2*w + 374 = 3*c. Calculate the least common multiple of c and 12.
384
Suppose -2*n + 33 = -3*x, -4*x + 21 = 4*n - 15. What is the lowest common multiple of n and (33/4)/((-3)/(-8))?
132
Let v = -131527/6 - -21869. Let n be (-1439)/((-30)/(1 - 2)). Let a = v - n. What is the common denominator of a and 74/9?
45
Let t = -1280 - -7693/6. Calculate the common denominator of (4/(-3))/((-2)/28) and t.
6
What is the common denominator of ((-172)/(-72))/(2/2) and (94/10*(-95)/76)/(5 - -2)?
252
What is the smallest common multiple of 60 and ((-10)/65)/(3/(-39))?
60
Let k(l) = 35*l**3. Let n be k(1). Suppose 31 = v - j, -v - j + n = -0*v. What is the lowest common multiple of v and 2?
66
Let u = -1482 + 9017/6. Find the common denominator of u and 109/238.
714
Let q = -645793/30 - -21529. Calculate the common denominator of 41/2 and q.
30
Let u = -14 + 20. Suppose 0 = 2*p - u - 8. Calculate the common denominator of (3/p)/(10/65) and 29/8.
56
Let w = -369/2150 + 4/25. Calculate the common denominator of w and 11/10.
430
What is the common denominator of (-15)/3 + 9 - (-297)/36 and 38/1061?
4244
Suppose 0 = 692*h - 688*h - 240. Calculate the least common multiple of 15 and h.
60
Let z(y) = y**3 - 14*y**2 - 18*y + 5. Let a be z(7). Let j = -73/40 + 2557/360. Find the common denominator of (1/(-4))/(-1) + 124/a and j.
522
Let j(m) = 35*m + 56. Calculate the smallest common multiple of j(6) and 6.
798
What is the least common multiple of 39 and (-28)/(-21)*(-3)/(-1)?
156
Let x(v) = -4*v + 33. Let s be x(7). Suppose 2*m - 14 = -3*c, s*m = 2*c + 4 + 12. Calculate the least common multiple of 5 and c.
10
Let a(w) be the second derivative of w**4/12 - 3*w**2/2 - 7*w. Let m(i) = -i**3 - i - 4. Let o be m(0). Calculate the least common multiple of 6 and a(o).
78
Let u be 98/35 + 1/5. Let a = 1 + 13. Calculate the lowest common multiple of 2/(-3)*u*-4 and a.
56
Suppose -3*a = -8*a - 200. Let y = 42 + a. Suppose 3*s + 0*f - 33 = -3*f, -y*s + 17 = f. What is the least common multiple of 7 and s?
42
Let l = 1385754638/49 + -57009940471171/2015860. Let r = l + 6/2057. Calculate the common denominator of r and -93/14.
140
Let u be 7/28 + 3494/(-13848). Let m = u + 14437/5193. What is the common denominator of 2 + 27/15 - 1 and m?
45
Let w(j) = j**2 + 11*j + 22. Let t be w(-9). What is the common denominator of -64/15 and t/(-32)*62 - 4?
60
Let n = -51 + 25. Calculate the common denominator of -41/11 and (-6)/n - (2 + 0).
143
Let c = -21/29 - -1115/58. Let o(l) = l**3 - 4*l**2 - 14*l + 6. Calculate the common denominator of c and o(5).
2
Let c = -63817/219560 - 1/3992. What is the common denominator of 31/15 and c?
165
What is the common denominator of 71/58 and (-16524)/(-9048) + 3 | {
"pile_set_name": "DM Mathematics"
} |
d derivative of -6*f**6 + f**6 + 13*f**2 - 8*f**j wrt f.
-1560*f**3
Find the third derivative of 2*a + 115*a**3 - 2*a + 305*a**2 + 101*a**3 wrt a.
1296
Let r(o) be the second derivative of o**8/56 + 29*o**7/42 + 47*o**4/3 + 35*o - 3. Find the third derivative of r(c) wrt c.
120*c**3 + 1740*c**2
Let c(f) = -2*f**2 - f + 2. Let d(z) = 10*z**2 - 24*z - 125. Let a(k) = -6*c(k) - d(k). Find the first derivative of a(b) wrt b.
4*b + 30
Let g = -8 + 12. Let b be ((-2)/g)/((-10)/20). What is the first derivative of -r**4 + 6*r**4 + b - 2 wrt r?
20*r**3
Let s = -53 + 95. Differentiate s*r**4 - 64*r**4 + 17 + 5*r**2 - 5*r**2 wrt r.
-88*r**3
Let k(x) = 10*x**3 + 19*x**2 + 17*x + 11. Let c(j) = -3*j**3 - 7*j**2 - 6*j - 4. Let b(w) = 17*c(w) + 6*k(w). Find the third derivative of b(y) wrt y.
54
Let o(i) be the third derivative of -161*i**4/24 - 6*i**3 - 160*i**2. Differentiate o(x) wrt x.
-161
Let i(q) = -436*q**3 + 5*q**2 - 5*q + 69. Let c(j) = -654*j**3 + 7*j**2 - 7*j + 104. Let a(o) = -5*c(o) + 7*i(o). Find the first derivative of a(v) wrt v.
654*v**2
Suppose 4*h + 41 = 5*t - 0*h, 4*h = -4*t + 4. Suppose -2*o - 4*w - 4 = -2*w, -t*o = 3*w + 6. Find the second derivative of 8*x**5 + 2*x + o*x - 5*x wrt x.
160*x**3
Find the first derivative of p**4 + 64*p + 58*p - 119*p - 52 + 2*p**4 wrt p.
12*p**3 + 3
Let w(a) be the second derivative of -19*a**4/3 + a**3/3 + 8*a**2 - 63*a. Find the second derivative of w(p) wrt p.
-152
Let z be 40/18 - -1 - 34/153. What is the second derivative of 24*q**4 - 137 + 137 + z*q - 11*q wrt q?
288*q**2
Let p(x) = x**2 + x - 1. Suppose 3*a + 16 = -2*d, 3*d - 11 - 3 = 5*a. Let w(t) = -3*t + 2. Let h(z) = d*w(z) - 6*p(z). What is the derivative of h(m) wrt m?
-12*m
Let z = -32 + 39. Suppose 0 = -b + z + 6. What is the first derivative of -13*f + b - 9 - 17 wrt f?
-13
Let x(f) = -353*f + 554. Let z(l) = -70*l + 111. Let m(q) = -2*x(q) + 11*z(q). Differentiate m(r) with respect to r.
-64
Let v(z) be the third derivative of 0 + 0*z**3 - 2/3*z**4 + 0*z + 0*z**5 + 17*z**2 + 1/60*z**6. Find the second derivative of v(l) wrt l.
12*l
Let r(h) = -h**4 - 2*h**2 + 3. Let w(f) = 357*f**4 + 10*f**2 + 187. Let y(s) = 5*r(s) + w(s). Differentiate y(l) wrt l.
1408*l**3
Suppose 0 = -39*q + 34*q + 35. Let n(t) be the second derivative of 2/3*t**4 + 0 + 0*t**2 + q*t - 7/6*t**3. Find the second derivative of n(y) wrt y.
16
Let v(u) be the third derivative of -11*u**5/4 - 59*u**3/3 + 2*u**2 - 55*u. Find the first derivative of v(k) wrt k.
-330*k
Let n(p) = -15*p + 6. Let l(w) = 1 + w + 0*w + 0*w. Let z(x) = -5*l(x) - n(x). Find the first derivative of z(f) wrt f.
10
Let o(a) be the first derivative of -167*a**3/3 - 77*a**2/2 - 151. Find the second derivative of o(r) wrt r.
-334
Let v(o) = o**2 - 18*o + 37. Let m be v(16). What is the third derivative of n**5 + 20*n**2 - 3*n**5 - 7*n**m - 14*n**5 wrt n?
-1380*n**2
Suppose -5*s = 5*z, -s + 4*s - 2 = -4*z. Let n be (2/6)/((-1)/(-9)). Find the third derivative of -z*u**3 + 0*u**2 - 4*u**2 + 2*u**3 - u**n wrt u.
-6
Suppose -2*p + 30 - 8 = -5*o, -3*o - 14 = -2*p. Let f(b) = b + 14. Let r(u) = -u. Let h(x) = o*r(x) - f(x). Find the first derivative of h(a) wrt a.
3
Let l = -39 - -48. What is the third derivative of l*g**2 + 18*g**2 - 13*g**2 - 2*g**4 wrt g?
-48*g
Let g(b) be the third derivative of 13*b**9/56 + b**5/4 - 23*b**3/6 - 686*b**2. What is the third derivative of g(q) wrt q?
14040*q**3
Let x be 296/56 + (-6)/21. What is the third derivative of 30*u**5 + 2*u**2 - 82*u**x + 18*u**5 wrt u?
-2040*u**2
Differentiate -104 + 2*u + 309 - 36 wrt u.
2
Find the second derivative of -2*f**3 + 16*f - 11*f**2 - 5*f**3 + 8*f**2 wrt f.
-42*f - 6
Let f(o) = 0*o**5 - 2 + 5 - 12*o + 2*o**5 + 6. Let i(h) = -h + 1. Let n(q) = 4*f(q) - 36*i(q). What is the second derivative of n(c) wrt c?
160*c**3
Let f(q) be the second derivative of 5*q**7/21 + 2*q**5/5 + 13*q**4/2 - q**2 - 84*q. Find the third derivative of f(b) wrt b.
600*b**2 + 48
Let v(n) = -110*n + 101. Let x(l) = -220*l + 200. Let r(u) = 5*v(u) - 3*x(u). Differentiate r(q) with respect to q.
110
Let w be (-1 + 2)*(6 - 0/2). Let p = 3 - -2. Find the third derivative of 2*z**2 + p*z**4 - z**4 - 4*z**4 - w*z**5 wrt z.
-360*z**2
Let y(x) be the first derivative of -2/3*x**3 + 0*x + 0*x**2 - 1 - 5/2*x**4. What is the third derivative of y(n) wrt n?
-60
Let r(n) = 5*n**5 + 6*n**4 - 13*n**2 - 9*n - 8. Let i(j) = j**5 + j**4 - j**2 - 1. Let q(g) = 6*i(g) - r(g). Find the second derivative of q(c) wrt c.
20*c**3 + 14
Let m(t) = -3*t. Let f be m(-3). Suppose 0 = 4*s - 15 - f. Find the second derivative of -s*b - 8 + 8 - 5*b**4 wrt b.
-60*b**2
Let v(l) = l**2 + 4. Let u(z) = -z**3 + 3*z**2. Let s be u(3). Let t be v(s). Find the second derivative of 0*d**4 - 4*d + 5*d**4 + 4*d**t wrt d.
108*d**2
Let d(l) be the second derivative of 22*l + 5*l**2 + 0 + 23/6*l**3. Differentiate d(m) with respect to m.
23
Let l(x) be the third derivative of 191*x**6/60 + x**5/60 - 425*x**3/6 + 32*x**2. Differentiate l(k) wrt k.
1146*k**2 + 2*k
Find the third derivative of -75*b**6 - 20*b**2 - 54*b**2 - 46*b**6 wrt b.
-14520*b**3
Let i(v) be the second derivative of 0 + 9*v + 19/6*v**3 + 11/2*v**2. What is the first derivative of i(u) wrt u?
19
Let x(s) be the second derivative of 13*s**8/14 - 211*s**4/12 + 13*s - 2. What is the third derivative of x(d) wrt d?
6240*d**3
Suppose -4*r = 5*b - 7, -4*b + 3*r + 18 = -0*b. Suppose t + 0*t - b = 0. Differentiate -17*v**3 + 7*v**t + 1 + 5*v**3 wrt v.
-15*v**2
Suppose 5*z + 67 = 2*p, -5*z - 93 = -7*p + 4*p. What is the first derivative of 30 + l + p*l**2 + 38*l**2 - 53*l**2 wrt l?
22*l + 1
Let f be 12/42 - (-24)/14. Suppose f = 3*q - 4. What is the second derivative of -m - m + 3*m + q*m - 5*m**2 wrt m?
-10
Let t(n) be the first derivative of -93*n**7/7 - n**4/2 - 3*n**3 - 8. Find the third derivative of t(l) wrt l.
-11160*l**3 - 12
Let w(g) be the first derivative of -23*g**3 + g**2/2 - 8*g - 2. Find the second derivative of w(v) wrt v.
-138
Let p(j) = 136*j**3 + 15*j**2 - 12*j. Let t(a) = 135*a**3 + 17*a**2 - 13*a. Let m(h) = 7*p(h) - 6*t(h). Find the third derivative of m(w) wrt w.
852
Let b(y) = -y**2 + y. Let g(c) = 70*c**3 + 3*c**2 + 3*c. Let l(h) = 3*b(h) - g(h). What is the third derivative of l(w) wrt w?
-420
Let j(d) be the third derivative of -d**9/504 + 5*d**6/24 + 4*d**5/15 + 2*d**2 - 54. Find the third derivative of j(r) wrt r.
-120*r**3 + 150
Let d(l) be the first derivative of 40*l**4 - l**3/3 + 5*l**2/2 - 23. What is the third derivative of d(n) wrt n?
960
Suppose z = -0*z. Let p be 1 + z/(-2) - 0. Differentiate -6*c + 7*c + c + p with respect to c.
2
Let v(k) be the third derivative of 0 - 29/24*k**4 - 1/42*k**7 + 0*k**5 + 0*k + 0*k**6 + 0*k**3 - 34*k**2. What is the second derivative of v(x) wrt x?
-60*x**2
Suppose -2*l + 5 = 1. Suppose f + 0 = 2. Find the third derivative of -6*r**4 + 0*r**2 - r**2 + 0*r**f + 2*r**l wrt r.
-144*r
Let c(d) = 31*d - 11. Let n(g) = -g - 1. Let p(s) = -2*s + 11. Let o be p(6). Let t(a) = o*c(a) + 3*n(a). What is the first derivative of t(r) wrt r?
-34
Let v(w) be the third derivative of -11*w**7/5040 - w**6/90 + w**5/10 - 6*w**2. Let r(q) be the third derivative of v(q). What is the derivative of r(s) wrt s?
-11
Let x be -3*(2 + -3)/1. Differentiate c**3 - x*c**3 + 6 + 4*c**3 - c**3 wrt c.
3*c**2
Let a(n) be the first derivative of -529*n**6/6 - n**2 - 148*n - 533. What is the second derivative of a(g) wrt g?
-10580*g**3
Let l(d) = 14*d - 5. Let z be l(3). Differentiate 8*g**3 + z*g + 19 - 37*g with respect to g.
24*g**2
Let m(x) be the third derivative of x**9/252 - 2*x**7/5 - x**5/6 + 2*x**3/3 - x**2. What is the third derivative of m(p) wrt p?
240*p**3 - 2016*p
Let k(o) be the first derivative of o**3/3 + 55*o**2 + 18*o + 30. Differentiate k(v) with respect to v.
2*v + 110
Let f(y) = -y**3 - 29*y**2 + 30*y + 30. Let r be f(-30). Find the third derivative of -13*k**3 + 29*k**2 + r*k**2 - 15*k**2 + 41*k**3 wrt k.
168
Let c(d) = 280*d**4 - 27*d**3 + 154*d - 6. Let j(q) = -56*q**4 + 5*q**3 - 31*q + 1. Let k(h) = 2*c(h) + 11*j(h). What is the second derivative of k(m) wrt m?
-672*m**2 + 6*m
Suppose 2*i = n + 8, -5*i + 2*i + 15 = 0. Let l be n/6 - (-4)/(-12). What is the second derivative of l + 4*u**2 | {
"pile_set_name": "DM Mathematics"
} |
ters picked without replacement from {h: 3, e: 3, j: 10, l: 2}. What is prob of picking 1 e, 1 l, and 2 h?
1/170
Calculate prob of picking 1 e and 1 x when two letters picked without replacement from fexfefffefxefe.
10/91
Three letters picked without replacement from jgjgjgggjj. What is prob of picking 2 g and 1 j?
5/12
Calculate prob of picking 2 l when two letters picked without replacement from eglflgkggfggffegeegg.
1/190
Two letters picked without replacement from {y: 2, f: 4}. What is prob of picking 2 y?
1/15
Two letters picked without replacement from ggggagooggoooaagoo. Give prob of picking 2 o.
7/51
Three letters picked without replacement from {x: 1, d: 1, q: 5, t: 2, f: 1}. What is prob of picking 2 q and 1 f?
1/12
Four letters picked without replacement from hhhhylkhkflfy. Give prob of picking 2 h, 1 k, and 1 f.
8/143
Calculate prob of picking 3 c and 1 t when four letters picked without replacement from ccttpppcpptc.
4/165
Three letters picked without replacement from {x: 4, q: 5, z: 2, v: 2, f: 1}. What is prob of picking 3 q?
5/182
Two letters picked without replacement from kwsakka. What is prob of picking 1 a and 1 w?
2/21
Three letters picked without replacement from zzszszzbox. What is prob of picking 1 s, 1 o, and 1 z?
1/12
Four letters picked without replacement from {j: 1, b: 1, x: 3}. What is prob of picking 2 x and 2 b?
0
Four letters picked without replacement from feeeiifefiii. What is prob of picking 2 f, 1 i, and 1 e?
4/33
Two letters picked without replacement from uohsi. Give prob of picking 1 o and 1 s.
1/10
Two letters picked without replacement from rjeeeejr. Give prob of picking 2 e.
3/14
Calculate prob of picking 1 v and 3 f when four letters picked without replacement from ffffffffvffvvfffvvf.
455/969
Two letters picked without replacement from {r: 1, y: 9, w: 4}. Give prob of picking 2 y.
36/91
Calculate prob of picking 2 h and 1 a when three letters picked without replacement from hhhahahahhaah.
70/143
Calculate prob of picking 1 u and 2 n when three letters picked without replacement from yvunenuy.
1/28
What is prob of picking 1 g and 2 c when three letters picked without replacement from {k: 2, f: 2, n: 1, l: 2, c: 2, g: 3}?
3/220
Four letters picked without replacement from eeezzezzmmzazzzzzza. What is prob of picking 3 e and 1 m?
2/969
Four letters picked without replacement from nfnnfnnffffnfn. Give prob of picking 1 n and 3 f.
35/143
Calculate prob of picking 2 d when two letters picked without replacement from {f: 2, d: 7, i: 7, p: 2, u: 1}.
7/57
What is prob of picking 1 l, 1 b, and 1 h when three letters picked without replacement from {t: 2, o: 7, h: 2, l: 1, r: 1, b: 6}?
4/323
Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, c: 2, e: 5}.
1/36
Calculate prob of picking 1 z and 2 w when three letters picked without replacement from yzzuyuuuyuuuuuuzuuww.
1/380
Four letters picked without replacement from ccfccmcmkfcyfyccytm. What is prob of picking 1 k, 1 y, 1 c, and 1 f?
6/323
Two letters picked without replacement from almam. Give prob of picking 2 m.
1/10
Two letters picked without replacement from {u: 3, l: 3, a: 3, o: 8, g: 2}. Give prob of picking 2 u.
1/57
Three letters picked without replacement from {y: 2, m: 1, q: 7, f: 4, a: 4}. Give prob of picking 1 y and 2 a.
1/68
Four letters picked without replacement from udorddrdduwdrru. What is prob of picking 1 d, 2 u, and 1 o?
6/455
What is prob of picking 1 v and 1 l when two letters picked without replacement from {c: 1, b: 1, l: 3, v: 2}?
2/7
Calculate prob of picking 4 s when four letters picked without replacement from ssszssszzss.
7/33
Three letters picked without replacement from {n: 1, z: 18}. What is prob of picking 1 n and 2 z?
3/19
Four letters picked without replacement from jxccoecojjj. What is prob of picking 2 j and 2 o?
1/55
Four letters picked without replacement from {r: 2, s: 1, d: 1, q: 3}. What is prob of picking 1 s and 3 q?
1/35
Calculate prob of picking 1 b and 1 w when two letters picked without replacement from {w: 2, b: 7, j: 3}.
7/33
Two letters picked without replacement from {b: 1, y: 18}. Give prob of picking 2 y.
17/19
Calculate prob of picking 1 u, 1 e, and 2 r when four letters picked without replacement from {s: 1, n: 1, e: 2, u: 4, r: 2}.
4/105
Two letters picked without replacement from apnvvhm. What is prob of picking 1 h and 1 a?
1/21
What is prob of picking 2 u when two letters picked without replacement from {r: 2, u: 9}?
36/55
What is prob of picking 1 e and 3 y when four letters picked without replacement from yyeeyeeeeeeeeeeeeye?
5/323
What is prob of picking 1 y, 2 l, and 1 j when four letters picked without replacement from lszszlrzyyyslzsjlsll?
3/323
Calculate prob of picking 2 l, 1 t, and 1 j when four letters picked without replacement from wjtlltjjoljjjjl.
4/65
Two letters picked without replacement from qqsqqs. Give prob of picking 1 s and 1 q.
8/15
What is prob of picking 2 b and 1 o when three letters picked without replacement from {o: 1, m: 1, f: 2, b: 3}?
3/35
Four letters picked without replacement from {t: 7, x: 9}. What is prob of picking 4 t?
1/52
Four letters picked without replacement from rihrrrhri. Give prob of picking 3 r and 1 h.
10/63
Calculate prob of picking 2 n, 1 w, and 1 e when four letters picked without replacement from wwnenwwjjwwwww.
9/1001
What is prob of picking 1 p and 1 b when two letters picked without replacement from epepxbexyxeyxpex?
1/40
Calculate prob of picking 1 f and 1 j when two letters picked without replacement from lffltjltwqwtql.
2/91
Calculate prob of picking 2 m and 1 o when three letters picked without replacement from mojolomdluuullj.
3/455
Four letters picked without replacement from ddwddddwddddddwd. What is prob of picking 3 w and 1 d?
1/140
Calculate prob of picking 3 o when three letters picked without replacement from {s: 3, o: 5}.
5/28
What is prob of picking 1 l, 1 d, and 1 f when three letters picked without replacement from tlrvdldfdddvfvd?
24/455
Two letters picked without replacement from tfott. What is prob of picking 2 t?
3/10
Four letters picked without replacement from mlmllmmmlmmmmmmmmm. What is prob of picking 3 m and 1 l?
364/765
Three letters picked without replacement from {n: 2, b: 4}. Give prob of picking 3 b.
1/5
What is prob of picking 3 d when three letters picked without replacement from {t: 8, c: 3, d: 5}?
1/56
What is prob of picking 4 t when four letters picked without replacement from tttttvttttttttt?
11/15
What is prob of picking 1 f and 2 n when three letters picked without replacement from clnlfnjlcjznnf?
3/91
Two letters picked without replacement from uddqqnudqnfqdddqqad. What is prob of picking 1 a and 1 q?
2/57
What is prob of picking 1 t, 1 j, 1 p, and 1 c when four letters picked without replacement from jxiicjjixjtjjpc?
4/455
Two letters picked without replacement from fuefwuuwwffjfwfejfe. Give prob of picking 2 f.
7/57
Two letters picked without replacement from {x: 1, y: 2, b: 1, r: 4, m: 1}. What is prob of picking 1 x and 1 r?
1/9
What is prob of picking 1 s and 3 b when four letters picked without replacement from ssbbssb?
4/35
Three letters picked without replacement from {c: 2, j: 11}. What is prob of picking 2 j and 1 c?
5/13
Three letters picked without replacement from {r: 2, e: 1, u: 5, y: 1, s: 3}. Give prob of picking 2 u and 1 s.
3/22
Two letters picked without replacement from fvffyfvlyffyvvfvv. Give prob of picking 2 v.
15/136
What is prob of picking 1 h, 1 y, and 1 c when three letters picked without replacement from cyceggcxcycxh?
5/143
Calculate prob of picking 1 k and 1 o when two letters picked without replacement from okorkkknor.
4/15
What is prob of picking 1 i, 2 l, and 1 w when four letters picked without replacement from {w: 1, l: 2, i: 2}?
2/5
Calculate prob of picking 1 r and 1 d when two letters picked without replacement from rdrdararrardaad.
8/35
Calculate prob of picking 1 c and 3 p when four letters picked without replacement from cccpcccppccccc.
1/91
What is prob of picking 2 n when two letters picked without replacement from nfeinffininfn?
5/39
Three letters picked without replacement from vymnnmxnvxvxvvvnynn. What is prob of pickin | {
"pile_set_name": "DM Mathematics"
} |
e 16*r - w*r = 0. Suppose q - v = 6*q - 6, -5*q - 3*v - 2 = r. What are the prime factors of q?
2
Let z = 4399 + 4738. What are the prime factors of z?
9137
Let z be (-12)/(-2) + (-5 + 4 - 0). Suppose 11*v = v + 30. Suppose -z*m = -v*b + 728, 3*m + 487 = b + b. What are the prime factors of b?
251
Let d(p) = p**3 - 55*p**2 - 5*p + 173. List the prime factors of d(57).
2, 31, 103
Suppose 7*p = 4*z + 18401, 5*p - 13163 = -0*p - 2*z. List the prime factors of p.
3, 877
Let k = -6 + -6. Let t be (2 + -4)/(k/(-24)). What are the prime factors of (t - 0)*(-6)/4?
2, 3
List the prime factors of 26955 + -1 + (2 + -3)*8.
2, 3, 499
Let m(f) = -f**2 - 16*f. Let j(t) = t**2 + 15*t. Let y(a) = 5*j(a) + 4*m(a). Let o be y(-17). Let i = o - 66. What are the prime factors of i?
2, 3
Suppose -1003*d + 1032*d - 166286 = 0. List the prime factors of d.
2, 47, 61
Let j(s) = 9*s + 190. Let y be j(-13). Suppose -y*q + 76*q = 714. List the prime factors of q.
2, 7, 17
Let c = -162 + 89. Let p = -29 - c. Suppose -6*i + 4*i + p = 0. List the prime factors of i.
2, 11
Let j = 81842 - 17618. What are the prime factors of j?
2, 3, 223
Let d(f) = -f**2 + 2*f + 2. Let s be d(0). Let q be (-8 + 3)/(-5)*(-70)/s. Let y = 82 + q. List the prime factors of y.
47
Let t(f) = -f + 10. Let o be t(14). Let u be 2/5 + (o/10)/1. Suppose 3 = -i, -5*s - 2*i = -u*i - 329. What are the prime factors of s?
67
Let p be (-184 - 17)/((-9)/(3 + 0)). Let a = 250 - p. List the prime factors of a.
3, 61
Let b = 25 + 1307. Suppose 5*w - b = -4*o, -3*o - 4*w = w - 999. What are the prime factors of o?
3, 37
Let r(m) = 80*m - 2. Suppose 15 = -2*i + 5*z, -i + 4*z = 16 - 1. Suppose i = -2*l + 7. List the prime factors of r(l).
2, 3, 13
Let q = 300 - -931. What are the prime factors of q?
1231
Let b = 11060 - 4157. List the prime factors of b.
3, 13, 59
Let g(z) = -353*z**2 + 6*z - 10. Let h(v) = -176*v**2 + 3*v - 5. Let t(j) = 2*g(j) - 5*h(j). List the prime factors of t(3).
2, 11, 71
Let s(c) = 1222*c - 1282. What are the prime factors of s(4)?
2, 3, 601
Suppose -5*o + 10788 = 2548. What are the prime factors of o?
2, 103
Let v(q) = q**2 - q - 59. Let z be v(-7). List the prime factors of (z/(-18)*-74)/(4/(-168)).
2, 7, 37
Let s be ((4 - 1) + -3)/(2 - 0). Suppose s = -54*g + 108127 - 23941. What are the prime factors of g?
1559
Let s = 29775 + -21054. List the prime factors of s.
3, 17, 19
Let i be -3 - (380 - (-4 - -7)). Let h = 799 + i. Suppose -3*u + h = -307. What are the prime factors of u?
2, 11
Suppose 0 = 2914*f - 2916*f + 3*l + 84151, 0 = f - l - 42074. What are the prime factors of f?
42071
List the prime factors of (-6 + 9 - (-2 - -7)) + 9980.
2, 3, 1663
Suppose 175*u = 3619673 + 1173577. List the prime factors of u.
2, 3, 5, 11, 83
Suppose -v + d + 7 = 0, -1 = 2*d + 7. Let t(q) = -1 + 0 - q**2 + q**v - 2*q + 5. List the prime factors of t(3).
2
Suppose 25*c - 20529 = 93371. What are the prime factors of c?
2, 17, 67
Let c = 168 - 166. Suppose -s + 5*j = -3*s + 553, -5*s + c*j + 1397 = 0. List the prime factors of s.
3, 31
Let r(a) = 2*a**2 - 6*a. Let l be r(2). Let p(n) be the third derivative of -n**5/60 - n**4/2 + 7*n**3/6 - 7*n**2. List the prime factors of p(l).
3, 13
Let v(l) = 248*l - 3. Suppose -5*k = -15, 0*a + 4*k = -3*a + 15. What are the prime factors of v(a)?
5, 7
Let a(j) = 2*j**3 - 158*j**2 + 170*j - 160. List the prime factors of a(80).
2, 5, 41
Suppose 5*r + 2*f - 38 - 117 = 0, 5*r - 170 = f. Let z be -3 + r - (0 - 4). Let u = 19 + z. What are the prime factors of u?
53
Let l = 23378 - 19332. List the prime factors of l.
2, 7, 17
Let n be -7 - -12 - (-2)/(-1). Suppose 14*i + 256 = 4*o + 9*i, -2*o = n*i - 150. List the prime factors of o.
3, 23
Suppose 4*f = -4*f + 18687 + 40505. What are the prime factors of f?
7, 151
Let h(m) = -3797*m - 209. List the prime factors of h(-3).
2, 5591
Let m = 5789 + -2407. List the prime factors of m.
2, 19, 89
Let j be 54 + -2 - (3 - 1). Let a = -44 + j. Suppose -3*g = -a*g + 219. What are the prime factors of g?
73
Suppose -5*z - 124872 = -5*z - 4*z. What are the prime factors of z?
2, 3, 11, 43
Suppose -3*i + 3*k - 5*k = -22, -i + k + 4 = 0. Let h be -14 + i/(-7 - -4). Let u = h + 124. List the prime factors of u.
2, 3
Suppose -25*q + 109 = -141. What are the prime factors of -3 + q - (-9960)/15?
11, 61
Let x(t) = -6*t + 4. Let m be x(0). List the prime factors of m/6 - (-10309)/39.
5, 53
Let n(q) = q**3 - 46*q**2 + 59*q - 90. List the prime factors of n(46).
2, 41
Let w be 6/(4 + (-232)/60). Suppose -4 = 47*f - w*f. List the prime factors of 2 + f + 34 + 1.
5, 7
Let w be (-4)/((-20)/(-15)) - -2. Let z be 2 + 4 + 0 + -3. List the prime factors of ((z - w) + -1)/((-1)/(-42)).
2, 3, 7
Let q(z) = z**3 + 18*z**2 + 17*z - 17. Let s be (-2928)/192 - 2/(-8). What are the prime factors of q(s)?
13, 31
Suppose 12*l - 3065 = -22805. Let y = l + 2653. What are the prime factors of y?
2, 3, 7
Suppose 6 = -3*d - 21. Let c = -5140 + 5020. What are the prime factors of (-27)/(-18)*c/d?
2, 5
Suppose 2475*p - 570764 - 240436 = 2443*p. What are the prime factors of p?
2, 3, 5, 13
List the prime factors of (537138/(-10))/(-7) - ((-85)/(-25) - 3).
7673
Let r be (0 - 1)/(-11 + 21642/1968). Suppose 2*c - r = -104. What are the prime factors of c?
2, 7
Let z be 6 - -7*(-6)/42. Suppose n = -z*b + 2438, 2*b - 4*b + 989 = 5*n. List the prime factors of b.
487
Suppose 0 = 3*o + 15, 7605 = -4*v - 5*o + 25188. What are the prime factors of v?
2, 31, 71
Suppose -23*q - 460 = -4508. Let t = 567 - q. What are the prime factors of t?
17, 23
Let d(q) = q**2 + 20*q - 8. Let t be d(-21). Suppose t - 5 = 2*m. Suppose m*k - 770 = -2*v, 958 = 5*k + 3*v + v. What are the prime factors of k?
2, 97
What are the prime factors of 379 + 48544 + 2*3 + -1?
2, 11, 139
Suppose -2*r + 22 = 5*i, r = -i + 8 - 3. Suppose -1067 = -3*f + 4*u, -305 = 3*f + i*u - 1380. Suppose -x - f = -4*x. What are the prime factors of x?
7, 17
Let w = 454 - 464. What are the prime factors of 5 - ((-228)/w)/((-39)/1040)?
613
What are the prime factors of (-20496)/((-512)/32) - 2*2?
1277
Let m be (1/(-4))/(3/(-9))*416. Suppose 1011 + m = 21*h. List the prime factors of h.
3, 7
Suppose 49*b - 969411 + 274692 = 863089. List the prime factors of b.
2, 1987
Suppose -2*h + 3179 = c, 4*c - 2*h = 7185 + 5571. List the prime factors of c.
3187
Suppose 0 = 5*a + 5*o - 31230, -16*a + 12496 = -14*a + o. List the prime factors of a.
2, 5
Suppose 97*u - 15*u - 759730 = 0. List the prime factors of u.
5, 17, 109
What are the prime factors of 180/(-810)*(2 - 11484)*45/10?
2, 5741
Let r(f) = 167*f + 40. Let c be r(-12). Let i = c + 3093. What are the prime factors of i?
1129
Let v = -12 - -76. Let d = v + -17. Let o = 42 + d. List the prime factors of o.
89
Suppose 2*v = 5079 + 4469. What are the prime factors of v?
2, 7, 11, 31
Let d(w) = w**3 - 11*w**2 + w - 23. Let y be d(11). Let b(o) = -3*o - 24. What are the prime factors of b(y)?
2, 3
Let o = 45647 + -14391. List the prime factors of o.
2, 3907
Suppose 0 = -4*n - 2*u + 29828, 8*n = 11*n + 4*u - 22371. What are the prime factors of n?
7457
Suppose 5127 + 7053 = 5*n. Suppose 2 = 2*q, 3*l + 2*q - n = -q. What are the prime factors of l?
811
Let n(f) = f**2 + 17*f - 4. Let c be n(-17). Let u(t) = -3*t**2 - 19*t + 5. What are the prime factors of u(c)?
3, 11
Suppose -3*v + 40 = 5*v. Suppose -91 = v*m - 6*m. Let w = m - 5. List the prime factors of w.
2, 43
Let a(z) = -z**2 - 6*z - 5. Let f be (-10)/(-25) + 64/(-10). Let u be a(f). List the prime factors of 88/((-10)/u - 1).
2, 11
Let r(k) = 5*k**2 - 431*k - 789. Let c be r(88). Let i be (-1136)/(-6) - (-2)/3. Suppose 5*t = -2*h + i, 4*h - t - 408 = c*t. List the prime factors of h.
2, 5
Let a(l) be the second derivative of -57*l**5/5 - l**4/12 + l**3/6 + l**2 - 4*l + 25. What are the prime factors of a(-1)?
2, 3, 19
Let g(t) = 93*t - 1183. What are the prime factors of g(105)?
2, 7, 613
Let f(u) = -8*u**3 + 4*u**2 - 12*u + 26. Let h be f(6). Let k = h + 2750. List the prime factors of k.
2, 5, 7
Let d(s) = -s**3 - 2*s**2 + s - 2. Suppose -3*b - 3*i = 8 + 70, 0 = 3*b - 3*i + 96. Let u = b - -24. What are the prime factors of d(u)?
2, 17
Let y = 17 - 17. Suppose 8*g - 24 = -y. Let v = 27 - g. List the prime factors of v. | {
"pile_set_name": "DM Mathematics"
} |
gest value in u, -2/15, h?
-2/15
Let q = -2049/2 + 4103/4. Let t = 2 - 6. Which is the fourth biggest value? (a) t (b) 0.3 (c) 0 (d) q
a
Let s(t) = -28*t + 192. Let j be s(7). What is the smallest value in -0.1, -2/25, j?
j
Let r(t) = 7*t - 40. Let h be r(10). Suppose 25*o = h*o - 25. What is the second biggest value in -5, 1, o?
1
Let i be (-6)/(-20) - (-7)/(-98)*7. What is the fourth biggest value in -5, i, -2/5, 1?
-5
Let b be 3/(((-46)/(-115))/((-2)/(-35))). Let d = 4.04 + -0.04. Suppose 2*v + 5*n - 3*n = 2, 10 = 2*v - 2*n. What is the biggest value in v, b, d?
d
Let f = 0.1635 - -2.8365. Let q be ((-2)/(-6))/(3/18). Which is the third smallest value? (a) q (b) f (c) -0.1 (d) 0.3
a
Let j = 1304.99 - 1297. Let o = 0.01 + j. Let w = -13 + o. Which is the biggest value? (a) w (b) -0.2 (c) 2
c
Let y = 37.39 - -0.61. Let x = -33 + y. Let n be (-106)/(-36) + -1 - 2. Which is the third smallest value? (a) x (b) -0.3 (c) n
a
Let x be -4 - (0 + 205/(-25)). What is the smallest value in 0.1, x, 3, -2/21?
-2/21
Let h = 2/195 + 21/65. What is the second biggest value in h, -0.12, -39?
-0.12
Let c = -0.0466 - -1.2466. What is the second smallest value in 1/8, 1/7, -1, c?
1/8
Suppose -x = k, -4*k = -7*x + 4*x - 7. Let i = k + -37. Let y = -34 - i. Which is the smallest value? (a) y (b) 0 (c) 1
b
Let q = -5.59 - -5.59. Which is the second smallest value? (a) q (b) 1 (c) -0.301
a
Let y(l) = l**2 - 15*l + 11. Let j be y(15). Suppose t + 10 = -5*k, -2*t + j = 1. What is the biggest value in k, 3/7, 5, -0.1?
5
Let n = 982 - 984. Which is the biggest value? (a) -0.5 (b) n (c) 1/3
c
Let o = 635/3 + -211. Which is the second smallest value? (a) o (b) -5 (c) -119
b
Let r = 688 - 690. What is the smallest value in 4, 1/3, 0.01, r?
r
Let i = 164 + -164.2. Which is the third biggest value? (a) 0 (b) i (c) -34 (d) 1
b
Let v = -43.963 - -44. Let y = -0.537 + v. Let w = 2 - 0. Which is the second biggest value? (a) y (b) w (c) -5
a
Let q = -26.26 - -26.24. What is the second smallest value in -5/2, 0, 4, q?
q
Let q = 0.25 - -27.75. Let x = 32 - q. Which is the second biggest value? (a) 3 (b) x (c) 5/2 (d) -1
a
Let z = 18.37 + -19.37. Let l = -25 + 16. What is the second smallest value in l, z, 0.2?
z
Let p be 91/52*(-4)/56. What is the fourth smallest value in 3, p, -3, 2?
3
Let b = 34.9 + -35. Let y be -2 - -1*(2 + (0 - 2)). Let n be (2 + 0)*(-3)/45. What is the second biggest value in n, b, y?
n
Let z be 1 - (-1 + (-2)/2). Let g be (-12)/(-9) + -3 - -2. Let n be -1*(-3)/9*0. What is the third smallest value in g, z, n?
z
Let v be (-65)/78 + (-34)/132. Which is the third smallest value? (a) -1 (b) -2 (c) 2 (d) v
a
Let d be 37/7 + (-44)/154. Which is the second smallest value? (a) d (b) 10/13 (c) 2/15
b
Let q = 924 + -4618/5. Which is the fourth biggest value? (a) q (b) -2/7 (c) 2/7 (d) -56
d
Let x = 0.6 - 0.1. Let j = 10 + -8.5. Let d = -1.7 + j. Which is the second smallest value? (a) x (b) 3 (c) d
a
Suppose -1 = p, -4*f - 27*p - 7 = -32*p. What is the second smallest value in -0.2, 1/52, 0.5, f?
-0.2
Suppose 102 = 4*a + 78. What is the smallest value in a, 4/17, -2/7, -0.5?
-0.5
Let f = -913 + 917. Let l = -9 - -7. Which is the third biggest value? (a) f (b) -1 (c) 1/8 (d) l
b
Suppose 4*n - 5*j = -5, -4*n + j = -3*n + 1. Which is the biggest value? (a) n (b) -0.4 (c) 0.5
c
Let i = -713 - -713.2. Which is the third smallest value? (a) -3 (b) i (c) -0.3 (d) -2
c
Let k be ((-2)/10)/(13/(-195)). Which is the smallest value? (a) 0.035 (b) 2/23 (c) k
a
Let n = -11/6 + 131/78. Let l = 0.26 - -0.14. Let z = 4.05 + -0.05. What is the third smallest value in z, n, l?
z
Let u(k) = 6*k + 61. Let i be u(-8). Let v = -147 + 1321/9. Which is the second biggest value? (a) 0 (b) -0.5 (c) i (d) v
a
Let o = -6.2 - -6.6. What is the third smallest value in -2/25, o, -5?
o
Let x = -0.3821 - -0.0821. Which is the second smallest value? (a) 2 (b) -3 (c) x (d) -1/109
c
Let f = 2 - 3. Let g be (1 + 51/(-6))*16/(-20). Let t be f*(-7)/(21/g). What is the third smallest value in -1/2, t, 1?
t
Let d = -24 + 25.2. Let g = d - -13.8. Let q = 15.3 - g. What is the biggest value in -0.1, q, 2?
2
Suppose 5*v - 14 = 3*b - 6*b, 0 = 2*v - 8. Let l be (b/(-18))/(3/(-6)). Let q = 1264.8 + -1265. What is the second biggest value in l, q, -0.04?
q
Let v = 3/20120868584 - -7156278664485815/55352509474584. Let o = v + 1/5502. Let n = -129 + o. Which is the second smallest value? (a) n (b) -2 (c) 5
a
Let p = 2.13 - -0.27. Let o = -0.024 + -2.576. Let z = o - p. What is the biggest value in 2, 4/7, z?
2
Let o = -91 - -91. Let u = 1 - 3/4. Which is the smallest value? (a) o (b) u (c) 0.4
a
Let l be (-4)/28*-3*(192 + -1). Let x = -82 + l. What is the third biggest value in x, -38, -2?
-38
Let u be (-2 - (-40)/25)/((-14)/10). Suppose -10*b + 10 = 20. What is the smallest value in -2/3, b, u?
b
Let s = 128 - 128.13. Let o = -9.87 + s. Which is the second smallest value? (a) 0.1 (b) -2 (c) o
b
Let g = 33.1 - 33. Suppose -4*u - 5*s - 41 = 0, 0*u + s = -5*u - 25. What is the smallest value in u, 1.3, g?
u
Let g = -13.54 - -13.94. Which is the biggest value? (a) 0.1 (b) 5 (c) -8 (d) g
b
Let o = -59 + 179/3. Let m be (-10)/8 - (-4)/16. What is the third smallest value in o, -2/7, m?
o
Let s = 523/2 - 262. Which is the fourth biggest value? (a) -1 (b) -0.4 (c) -1/9 (d) s
a
Let o = -11.9 + 21.5. Let r = o - 10. Which is the third smallest value? (a) -5 (b) 3/7 (c) r
b
Let l = -13.72 - -10.72. Which is the biggest value? (a) -89 (b) l (c) 0.04
c
Let u = -1530 - -1530. Which is the second biggest value? (a) u (b) -25 (c) -0.4 (d) 3/7
a
Let c = 7255 + -7258.817. Let m = 0.183 - c. Let o = -5.07 + 0.07. What is the second biggest value in 1, m, o?
1
Let y be (-98)/5 + (-18)/(-30). Suppose 0 = 7*x + 1 + 20. Let g be (3 - (-8)/x)/1. What is the third biggest value in g, 3, y?
y
Let u = -32 + 29.1. Let b = u + 3. What is the biggest value in -4, b, 5, -0.18?
5
Let s = -3/23 + 113/161. Let k be 21/(-84) + (-17)/(-4). Let u = k - 3. What is the third biggest value in s, -1, u?
-1
Let p(h) = -h**3 - 3*h**2 + 7*h + 12. Let x be p(-4). What is the fourth smallest value in x, -4/3, 2/17, -1/6?
2/17
Let r = -0.8 - -0.4. Which is the third smallest value? (a) 2/7 (b) -0.7 (c) -5 (d) r
d
Suppose 3*t - 257 = -j, -2*t + 167 = j - 6. Which is the biggest value? (a) 5 (b) 0.4 (c) t
c
Suppose -3*j = -w - w - 59, -2*j = 4*w + 158. Let c = w - -923/25. What is the third smallest value in c, -2, -1, 0.1?
c
Let r be (-34)/68*(-8)/14. Let z = 1513/12 - 126. Which is the third smallest value? (a) r (b) z (c) 1/5
a
Let b = 2/161 - -3/23. Let x = -372422/93 + 4005. Let l = x - 4/31. What is the third smallest value in l, b, 3/4?
3/4
Let k be -16*(-1)/4*2. Suppose k = 3*u - u. What is the smallest value in 0.4, 5/2, u?
0.4
Let w = -0.03 - -2.03. Let o = 386 + -1934/5. Which is the biggest value? (a) -0.1 (b) o (c) w
c
Let q = 5.73 - -1.27. Which is the second smallest value? (a) 9/2 (b) 4/7 (c) q
a
Let d(m) = -m**2 - m. Let n be d(-1). Let p(k) = k**2 - k - 1. Suppose -1 = -t + 2*t. Let z be p(t). Which is the second biggest value? (a) 0.5 (b) n (c) z
a
Let h = -0.4 + 2.4. Let z = -4 - 1. Let m be ((-5)/(-9))/(-17 - (-1926)/108). What is the second biggest value in h, z, m?
m
Let t = 0.06 - 0.36. Let d = -5923.5 + 5923. What is the third biggest value in d, t, -2/7?
d
Let z = -238 + 234. Which is the biggest value? (a) z (b) 5 (c) 2/3 (d) -0.3
b
Let i be (2*45/(-42))/(-2). Let c = 253/210 - i. Let g = -3.2 + 3. What is the biggest value in g, c, -1?
c
Let w = 2.6 - -13.4. Let b be (-8)/20*(-5)/(-21). What is the fourth biggest value in -0.2, b, w, -2?
-2
Let l(y) = y**2 - 3*y. Let o(f) = f**2 - 5*f + 6. Let m be o(4). Let a be l(m). Let w = 5610/7 + -801. What is the second smallest value in a, -0.7, w?
-0.7
Let i = 54 + -50. Let o(z) = -z**2 + 5*z + 4. Let p be o(5). Let g be ((-5)/p)/(-5)*-2. Which is the third smallest value? (a) 2 (b) g (c) i
c
Let g(y) = y**2 + 70*y - 706. Let i be g(9). Let t be ((-1)/18)/(1/4). Which is the third smallest value? (a) t (b) -5 (c) 0 (d) i
c
Let p = -0.0067 + -0.9933. What is the | {
"pile_set_name": "DM Mathematics"
} |
est common divisor of 6315826 and 407.
407
Calculate the highest common divisor of 135 and 4949175.
15
What is the greatest common divisor of 14136 and 54?
6
Calculate the greatest common divisor of 166 and 911.
1
Calculate the highest common factor of 813064 and 21.
7
What is the highest common factor of 120 and 212299960?
40
Calculate the greatest common divisor of 7060019 and 489.
163
Calculate the greatest common factor of 4 and 45690764.
4
Calculate the greatest common factor of 1296854 and 1985506.
3218
What is the greatest common divisor of 1243246 and 7676?
38
Calculate the greatest common divisor of 28302984 and 4392.
72
What is the highest common factor of 2043765 and 540?
135
What is the greatest common factor of 481227299 and 938?
469
What is the highest common divisor of 3144 and 23949944?
1048
Calculate the greatest common factor of 140387998 and 1058.
46
Calculate the greatest common factor of 114 and 8822859.
57
Calculate the greatest common divisor of 43680 and 21835632.
4368
What is the greatest common divisor of 38723919 and 741?
741
What is the greatest common divisor of 2041 and 84032?
13
What is the greatest common factor of 26703 and 1244549?
43
What is the greatest common divisor of 52281 and 1343763?
1413
Calculate the highest common divisor of 952 and 2561713952.
952
What is the greatest common divisor of 21345536 and 2304?
256
Calculate the greatest common divisor of 144579471 and 2523.
87
Calculate the highest common divisor of 3340620 and 774.
18
What is the greatest common divisor of 39 and 5635503?
3
Calculate the highest common factor of 204 and 57184209.
51
Calculate the greatest common divisor of 1092 and 13539396.
156
Calculate the greatest common divisor of 825 and 420765.
15
What is the highest common factor of 64 and 1171658944?
64
Calculate the highest common divisor of 19599 and 92991.
417
What is the greatest common factor of 2700 and 105274?
2
Calculate the greatest common factor of 7203 and 14145369.
147
What is the greatest common divisor of 1519321 and 423007?
2503
What is the greatest common divisor of 56391910 and 270?
10
Calculate the highest common factor of 11123721 and 2926.
133
Calculate the greatest common divisor of 814486398 and 22.
22
What is the greatest common factor of 1141964 and 1988?
284
What is the greatest common factor of 199 and 18287105?
199
What is the highest common divisor of 1149210 and 470?
10
What is the greatest common divisor of 83 and 33493?
1
What is the highest common factor of 177345 and 79155?
45
What is the highest common divisor of 961968 and 1344?
336
Calculate the greatest common factor of 55621216 and 160.
32
What is the highest common divisor of 42731 and 105697?
19
What is the highest common divisor of 9881524 and 3804?
1268
What is the greatest common factor of 2849 and 15927131?
407
What is the greatest common factor of 92650 and 33490?
170
What is the greatest common factor of 33576 and 13368?
24
What is the highest common factor of 1608 and 54324069?
201
What is the highest common factor of 4942 and 5684?
14
Calculate the highest common factor of 8925365 and 267.
89
What is the highest common divisor of 1549598141 and 91?
91
What is the highest common factor of 91102 and 100535198?
8282
Calculate the greatest common factor of 3553965 and 540.
45
What is the highest common factor of 95 and 76681663?
19
What is the highest common divisor of 1649 and 15400691?
17
What is the greatest common factor of 13469170 and 55?
55
Calculate the highest common factor of 8 and 2092973.
1
Calculate the highest common divisor of 5922 and 11805084.
846
What is the greatest common divisor of 907484 and 12?
4
What is the greatest common factor of 60638720 and 3840?
1280
What is the greatest common divisor of 1555532 and 3564?
44
What is the greatest common divisor of 6307 and 88850419?
371
What is the greatest common factor of 861 and 75254844?
861
What is the greatest common divisor of 134572971 and 57616?
3601
Calculate the highest common factor of 780 and 245406915.
195
Calculate the greatest common divisor of 645 and 3700580.
215
Calculate the greatest common divisor of 785109759 and 357.
357
Calculate the highest common factor of 5016268 and 1898.
146
Calculate the highest common factor of 427 and 499956.
61
Calculate the highest common factor of 739662 and 2268.
42
Calculate the greatest common factor of 1784 and 6658780.
892
What is the greatest common factor of 14451795 and 1551?
141
What is the highest common factor of 40110303 and 5905?
1181
What is the greatest common factor of 1858354 and 6828?
1138
Calculate the highest common factor of 118902 and 994707.
399
What is the greatest common factor of 1550462 and 117978?
106
What is the highest common factor of 380 and 4261795?
95
What is the greatest common factor of 14234580 and 1395?
1395
What is the greatest common divisor of 333347330 and 20?
10
Calculate the highest common divisor of 8688 and 10253328.
48
What is the highest common factor of 13722700 and 400?
100
What is the greatest common divisor of 43196 and 588?
4
Calculate the highest common factor of 78 and 5763858.
6
Calculate the greatest common divisor of 102689224 and 1254.
418
Calculate the greatest common divisor of 10106 and 12493.
31
Calculate the highest common factor of 937 and 6834478.
937
What is the highest common divisor of 70174 and 466927?
2699
Calculate the highest common factor of 36 and 42852879.
9
Calculate the highest common factor of 645 and 5162295.
15
Calculate the highest common divisor of 1340 and 2660795.
5
What is the greatest common factor of 17050088 and 176?
88
What is the greatest common factor of 9408847 and 1827?
203
What is the highest common divisor of 16926 and 42620474?
806
What is the highest common divisor of 1728204 and 402?
6
Calculate the greatest common divisor of 69000907 and 28052.
7013
Calculate the highest common factor of 220827 and 4698.
3
Calculate the greatest common factor of 11169 and 188521551.
11169
Calculate the highest common factor of 13 and 6277674.
13
What is the highest common factor of 378948 and 636?
12
What is the greatest common factor of 9443551 and 48773?
323
Calculate the highest common divisor of 25433724 and 39786.
2094
What is the greatest common divisor of 491 and 7498061?
491
What is the greatest common divisor of 89680 and 135809150?
11210
What is the highest common factor of 913 and 14061916?
11
Calculate the greatest common factor of 15353 and 25522591.
1181
What is the greatest common factor of 707484 and 16188?
228
What is the highest common factor of 90 and 205069185?
45
What is the highest common divisor of 386 and 115348187?
193
Calculate the highest common factor of 31344 and 60936.
24
What is the highest common divisor of 243 and 93413277?
27
Calculate the highest common divisor of 304610004 and 72.
36
Calculate the greatest common factor of 9152091 and 1113039.
3933
Calculate the greatest common factor of 157850067 and 63995.
12799
Calculate the greatest common divisor of 572 and 8729028.
44
What is the highest common factor of 4856538 and 108?
6
Calculate the highest common factor of 1296 and 1738908.
324
What is the highest common divisor of 11286 and 80777664?
3762
What is the highest common factor of 150007 and 222937?
143
What is the highest common divisor of 56 and 82604606?
14
Calculate the greatest common divisor of 1482 and 34854170.
494
What is the greatest common factor of 327624949 and 15111?
1679
Calculate the highest common factor of 331861 and 51964.
1181
What is the greatest common factor of 51 and 2265453541?
17
What is the highest common factor of 84559653 and 6?
3
What is the greatest common factor of 335973 and 132?
33
Calculate the highest common factor of 118194 and 138.
6
What is the highest common factor of 350 and 758750?
50
Calculate the highest common divisor of 14 and 265080501.
7
Calculate the highest common factor of 13978100 and 2.
2
Calculate the greatest common divisor of 7124 and 3667248.
52
Calculate the highest common factor of 159120 and 975.
195
What is the greatest common factor of 2569550 and 6120?
170
Calculate the highest common divisor of 27867816 and 4395.
879
Calculate the highest common divisor of 1829 and 20748052.
31
Wh | {
"pile_set_name": "DM Mathematics"
} |
in -11/2, 0, 4?
0
Which is the nearest to -1/4? (a) -3.5 (b) -1 (c) -4
b
What is the nearest to -0.1 in 1/3, 0.1, -12/13, 1/8?
0.1
What is the nearest to 27 in 2, -3/4, 3?
3
What is the nearest to -0.1 in 1, -3/2, 2, 0.029?
0.029
What is the nearest to -0.1 in -2/7, 0.16, -1/7, -3?
-1/7
Which is the closest to 0.1? (a) -3 (b) 1/2 (c) -0.2
c
What is the closest to 4 in -2/11, -0.4, -1/2?
-2/11
Which is the closest to 0.2? (a) -0.3 (b) 1 (c) -0.1 (d) 4
c
What is the closest to -2/9 in -4, -0.4, -1.7?
-0.4
What is the closest to 0.1 in -2, -5, 4?
-2
What is the closest to -1/2 in -4, -11, 0.4, -0.3?
-0.3
What is the closest to -1/7 in 0.3, -1, -2/23?
-2/23
Which is the closest to -1.5? (a) 39 (b) -4 (c) -3
c
What is the nearest to -8 in -57, -1, 5?
-1
What is the nearest to -2 in -1/4, 0.2, -1/3, -0.8?
-0.8
What is the nearest to 2/3 in 7/5, 3, -5, 2/7?
2/7
What is the closest to 0.1 in -0.1, -361, 0, -1?
0
What is the closest to 1 in -3/8, -1/35, 0.4, 0?
0.4
Which is the nearest to 9? (a) -2/13 (b) -2 (c) 0.2 (d) -1
c
Which is the closest to 0? (a) -3 (b) -0.06 (c) 54.7
b
Which is the closest to 0? (a) -7 (b) 61 (c) -5
c
What is the nearest to 1 in 1/7, 0.4, 43?
0.4
What is the nearest to -1 in 0, -1.2, -6, 6?
-1.2
What is the nearest to -1 in -8/7, 1, -4, 2/7?
-8/7
What is the nearest to -2 in 0.1, 0.5, 2/21?
2/21
What is the closest to 0.3 in -6, 2, -74?
2
Which is the nearest to -1/2? (a) 0.3 (b) -8 (c) 4
a
What is the nearest to 1/3 in 56, 3, -21?
3
Which is the closest to 0.1? (a) -8 (b) 0.05 (c) 2 (d) 0
b
Which is the closest to -2/23? (a) -1 (b) -2 (c) 5 (d) 4
a
What is the nearest to 5/12 in -1/4, 0, 2/17?
2/17
What is the closest to 5 in 0.3, 1/2, 777?
1/2
Which is the closest to -1? (a) -7/3 (b) -2 (c) 1 (d) -0.2
d
Which is the nearest to -0.1? (a) 1 (b) -16 (c) -1
c
Which is the closest to -2/7? (a) 17 (b) -23.5 (c) 5
c
Which is the closest to 73? (a) 4 (b) -4 (c) -1
a
Which is the nearest to 0? (a) -5 (b) -1 (c) 2
b
What is the nearest to 32 in -5, -0.2, -2?
-0.2
What is the closest to 167 in 1/2, -4, -0.033?
1/2
Which is the nearest to -2/11? (a) 2 (b) 2/11 (c) -1/19 (d) 4/5
c
What is the nearest to 0 in -6, -2/3, -0.2, -0.5?
-0.2
What is the nearest to 1/4 in 5, -1, 0.28?
0.28
Which is the nearest to -0.1? (a) 15/4 (b) 0 (c) 54
b
What is the closest to 0.1 in 3, -4/5, -3/5, -3?
-3/5
Which is the closest to 20? (a) 0.4 (b) -0.4 (c) -1/10 (d) -0.03
a
Which is the closest to -1/4? (a) 0.4 (b) 2/7 (c) 0.2 (d) 0.08
d
Which is the closest to 4? (a) 0.33 (b) -0.5 (c) 0.3
a
What is the nearest to 20 in 2/15, -0.3, 3?
3
What is the nearest to 35/17 in -2, -1/2, 5, -1?
-1/2
Which is the closest to 0.6? (a) 8 (b) -1/8 (c) 0.03
c
Which is the closest to 0? (a) -3 (b) 5 (c) 0.2 (d) -55
c
Which is the nearest to 3/2? (a) -4 (b) -2/7 (c) -1
b
What is the nearest to -2 in 0.4, 0.2, -2/9, -4?
-2/9
Which is the closest to -1? (a) -0.03 (b) 2 (c) 2/3
a
Which is the closest to 0.05? (a) -2/3 (b) 1/16 (c) 4 (d) 2
b
Which is the nearest to 6? (a) 4/5 (b) -0.4 (c) 267
a
Which is the nearest to 0.215? (a) 1 (b) -0.5 (c) -0.04 (d) 1/2
c
Which is the nearest to 1? (a) -3.06 (b) 1 (c) 1/2 (d) -0.3
b
Which is the nearest to -0.1? (a) -1/11 (b) 1/25 (c) 5
a
Which is the nearest to 3/8? (a) 0 (b) -0.5 (c) -89
a
Which is the nearest to -2/25? (a) 4 (b) 2 (c) -0.3
c
What is the nearest to -3 in 1, -5, 0?
-5
Which is the nearest to -5? (a) 0.1 (b) -8 (c) 2
b
Which is the closest to 0.1? (a) 5 (b) 1 (c) -2 (d) -1/5
d
Which is the nearest to 1? (a) -38 (b) -1 (c) 1 (d) -4
c
Which is the closest to -2/9? (a) -0.17 (b) 0.5 (c) -0.4
a
Which is the closest to 2? (a) 5 (b) 8/7 (c) 21
b
Which is the nearest to 2/9? (a) -2 (b) 2 (c) -0.3 (d) 142
c
Which is the nearest to -0.1? (a) -4 (b) -0.2 (c) 1/5 (d) 0.056
b
What is the nearest to -1/5 in 5, 2/5, -18?
2/5
Which is the closest to 0.1? (a) 24/7 (b) 0.5 (c) -4/7
b
What is the closest to -5 in -4.6, -0.4, -3, -1/2?
-4.6
What is the nearest to -6 in -0.29, 2/9, -0.4?
-0.4
Which is the nearest to 0? (a) 5 (b) 2 (c) -0.037 (d) -3/7
c
Which is the closest to -2? (a) -0.7 (b) -1/2 (c) -32
a
Which is the nearest to 1/2? (a) -3 (b) -0.1 (c) 1.9
b
Which is the nearest to 85? (a) 5 (b) -0.1 (c) 4
a
Which is the closest to 1? (a) -0.1 (b) -2/7 (c) 19 (d) -4
a
Which is the nearest to 1? (a) -0.016 (b) -4 (c) 1.1
c
Which is the closest to 4? (a) 3/2 (b) 21 (c) 3
c
Which is the closest to 0? (a) -1 (b) -1/2 (c) -6
b
Which is the nearest to 0.7? (a) -3 (b) -2/3 (c) -5
b
Which is the closest to 0.2? (a) -0.1 (b) -2/11 (c) -0.2 (d) 6
a
What is the nearest to 0 in -5, -3, -2.2, -0.02?
-0.02
Which is the nearest to 1/3? (a) 5 (b) 1 (c) 3 (d) -5/2
b
Which is the nearest to 0.1? (a) -5 (b) 0.1 (c) -22
b
What is the closest to -83 in -7/9, 5, -0.5?
-7/9
What is the nearest to 2 in 9/2, 0, 2/5?
2/5
What is the nearest to 1 in -5, 3, -8, 0.02?
0.02
What is the closest to 0 in -28, 0, -5, -3?
0
What is the closest to 3 in -10, 0, 5, -2/19?
5
Which is the nearest to 2/9? (a) 2/3 (b) 0.4 (c) -7 (d) 2
b
What is the nearest to -1/8 in 12, 18, 0.2, 2?
0.2
Which is the nearest to 1? (a) 0.06 (b) -0.3 (c) -5 (d) 1/4
d
What is the closest to -0.1 in -3, -9, -0.5?
-0.5
Which is the nearest to -1/2? (a) 3 (b) 0 (c) 37
b
Which is the closest to -2/9? (a) 0.4 (b) 0.07 (c) 1
b
Which is the nearest to 1.4? (a) 0.4 (b) -0.3 (c) -3/4
a
Which is the closest to 0.1? (a) 0 (b) 14/5 (c) 0.4 (d) 1
a
Which is the closest to -1? (a) 32 (b) 3/5 (c) -0.3
c
Which is the closest to -0.1? (a) -1 (b) 0.1 (c) 6/17
b
Which is the closest to 2.4? (a) 0.5 (b) -0.07 (c) 4
c
Which is the nearest to 1/3? (a) 1 (b) -0.2 (c) 88
b
What is the closest to 1 in -3/4, -4, 1/5, 4/5?
4/5
What is the nearest to -0.2 in 0, -5, 5, 0.2?
0
Which is the nearest to 7? (a) 1/34 (b) 2 (c) -0.4 (d) 1
b
Which is the nearest to -1/3? (a) 2/5 (b) 0 (c) -0.6 (d) 3
c
What is the nearest to 1 in 4, 1/3, -3/5, -3/4?
1/3
Which is the closest to 1/4? (a) -0.1 (b) 1/4 (c) -72
b
What is the closest to -2/7 in -2/7, -2, -4?
-2/7
Which is the closest to 0.13? (a) 4 (b) -13 (c) -1
c
What is the closest to -1/12 in -5, 0.2, 0.5, 1/4?
0.2
Which is the closest to 0.1? (a) -3 (b) 5 (c) 2 (d) 4
c
What is the closest to 0 in 3, -5, -0.2, 2?
-0.2
What is the nearest to 0.02 in 3, -1, -1/8, 5/2?
-1/8
Which is the closest to -0.1? (a) 5/2 (b) 12 (c) -1/2 (d) -2
c
Which is the closest to 0.4? (a) -2 (b) 1 (c) 3
b
Which is the closest to -3/7? (a) -0.4 (b) 0 (c) -0.03 (d) 2
a
What is the nearest to 0 in 1, 0.5, -0.6?
0.5
What is the nearest to -1/3 in -1.93, 0, 0.051?
0
Which is the closest to -19? (a) -2/5 (b) 5 (c) 1
a
Which is the nearest to 24? (a) 0 (b) -1 (c) 5
c
Which is the nearest to 0.1? (a) 0.2 (b) -43 (c) 1/2 (d) -4
a
What is the closest to 2/7 in -0.3, -0.03, 14?
-0.03
Which is the closest to -2? (a) -1/4 (b) -1 (c) 74 (d) 4
b
What is the closest to 2/11 in -4/9, 4, -2?
-4/9
Which is the nearest to 0? (a) 4 (b) -1 (c) 179
b
Which is the nearest to 2/5? (a) 2 (b) 0.1 (c) -4 (d) -2/23
b
What is the nearest to -1/3 in -3, 6, -1/8?
-1/8
Which is the nearest to -7/17? (a) 5 (b) 4 (c) 2
c
What is the nearest to 0 in -5/8, 8, -0.5?
-0.5
What is the nearest to -2/5 in -2, 2/17, 0.17, -5?
2/17
Which is the nearest to -1/4? (a) -0.5 (b) 2 (c) 4
a
Which is the closest to 2? (a) 0.13 (b) 0.1 (c) 1/2 (d) 0.3
c
Which is the closest to 3? (a) -1/10 (b) -0.2 (c) 5 (d) 18
c
Which is the nearest to 1/3? (a) 2 (b) 5 (c) -0.0436
c
Which is the nearest to 3? (a) -490 (b) 2/13 (c) 3/4
c
What is the closest to -2/5 in 1, -5, 0.1?
0.1
Which is the closest to 0.3? (a) -1 (b) -5.1 (c) -4
a
What is the nearest to 0.1 in 4, -1/2, 7, 8?
-1/2
What is the nearest to 16 in -1/4, -0.4, -3, 6?
6
Which is the closest to 0.3? (a) 4/3 (b) 2 (c) 1 (d) -4
c
What is the closest to 13 in 0.1, 2/9, -0.5?
2/9
Which is the closest to -0.2? (a) 0.3 (b) -0.122 (c) 0.4
b
Which is the closest to 1/5? (a) 1/2 (b) 2 (c) 5 (d) 4
a
What is the closest to 0 in 4, 13, -2/9, - | {
"pile_set_name": "DM Mathematics"
} |
be p(12). Put 3, d, m in descending order.
3, d, m
Let l = -65 - -57. Sort l, -1, 3, 4 in decreasing order.
4, 3, -1, l
Suppose -2*t = z + z + 16, -4*t + 3 = -3*z. Let q(y) = y**3 + 3*y**2 + 3*y + 2. Let o be q(-2). Suppose 3*i - 2 + 5 = o. Sort i, 5, t.
t, i, 5
Let f = 29.9 - 24.94. Let q = f - -0.04. Sort 0.2, 0, q.
0, 0.2, q
Let d = 28 - 28.3. Sort 5/6, d, -3/4 in descending order.
5/6, d, -3/4
Let y be ((-4)/8)/((-1)/(-2)). Let i be 1*(-1 + 1 - -4). Sort i, -4, y in descending order.
i, y, -4
Let t = 95 + -100. Sort t, 2, 0.13.
t, 0.13, 2
Let m be (-460)/110 + (-2)/(-11). Put 3, m, -5 in decreasing order.
3, m, -5
Let m be ((-9)/12)/((-1)/4). Let w = 1 - 2. Sort 4, m, w.
w, m, 4
Let g = 3 - 7. Let c = -2 + 3. Suppose 4*z = -l + 1 + c, -5*z + 2 = l. Put z, g, 1 in decreasing order.
1, z, g
Suppose -5*l - o + 1 + 0 = 0, 3*l + 2*o = -5. Sort l, -2, 2, -1.
-2, -1, l, 2
Let a = 7 + -12. Let x = 4 + a. Sort -5, -2, x in descending order.
x, -2, -5
Let a be (-4)/3 - (-2)/(-3). Suppose -4*i = -5*w - 4, i + i = w - 4. Let z = w - -3. Put 2, z, a in decreasing order.
2, z, a
Let h = 2.6 + -3. Sort 1/2, 5, h in descending order.
5, 1/2, h
Let a be (-1)/(-3) + (-38)/42. Let d be 36/(-8) + 3 + 1. Put a, 2/5, d in ascending order.
a, d, 2/5
Suppose -4*b + 8 = -2*m, 2*b = -0*m - m. Sort 3, b, 0 in ascending order.
0, b, 3
Suppose 22 + 14 = -2*u. Let q be (6/(-8))/(u/(-60)). Let h = 10 - 7. Sort -1/6, q, h in descending order.
h, -1/6, q
Let c = -1.2 + 5.2. Sort c, -1/3, -3.
-3, -1/3, c
Let a = 8.3 - 4.4. Let h = 4 - a. Suppose -4*l + 7 = -2*w - 3, -4*l - 4*w - 20 = 0. Sort 5, l, h in descending order.
5, h, l
Let i = 6 + -10. Sort 1, i, -2.
i, -2, 1
Suppose -5*p + 4*p + 6 = 0. Suppose 3*f = p*f - 3. Put f, 3, -2 in increasing order.
-2, f, 3
Let x = 22 - 17. Suppose t - x*q = 6*t + 25, 0 = -t + 4*q. Suppose 0 = 2*u + 3*u. Sort -5, t, u in decreasing order.
u, t, -5
Let m be 2/((-102)/10 + 1/5). Sort m, -0.4, 1.
-0.4, m, 1
Let s(g) = -2*g**2 + 6*g - 9. Let l be s(2). Put 0, 2, l in ascending order.
l, 0, 2
Suppose -4*y + 0 = -5*n + 8, -y - 2*n = -11. Let s = 90 + -45. Let a be (-9)/s + 4/(-10). Put 0.1, a, y in descending order.
y, 0.1, a
Let v be 90/35 - 6/(-14). Sort -4, 4, v in ascending order.
-4, v, 4
Let f = -0.2 + 0.1. Let x = 0 - -0.1. Put f, x, 3 in decreasing order.
3, x, f
Let m be (0 + 2)/(-2)*-4. Let j(o) = -4*o + 1 + o**2 + 2 - m*o + 2. Let r be j(8). Sort 4, r, -3 in decreasing order.
r, 4, -3
Let p be (-82)/4*(1 + 21). Let q be (-4)/22 - p/484. Let u be ((-5)/(-2))/((-3)/6). Put 0, q, u in decreasing order.
q, 0, u
Let u = -76 + 81. Suppose 4*g + 3*j = -g + 27, -2*g + 4*j + 16 = 0. Suppose -8 = -3*q - 4*z, 3*q = g*q + z - 2. Sort 3, u, q in ascending order.
q, 3, u
Suppose 4*q = -v - 10, -q + 2 = -5*v - 5*q. Suppose -z = -4*j - v*z - 16, 2*j + 18 = -3*z. Put j, 3, 0.5 in descending order.
3, 0.5, j
Let j = -0.3 - -0.3. Put -0.4, j, -1 in descending order.
j, -0.4, -1
Suppose 5*d + 17 = 2*m, -4*d = -0*d - 4*m + 16. Let f(k) = -3*k + 4. Let g be f(d). Let j = g + -8. Sort -3, j, 0.
-3, 0, j
Let t(w) = w**2 - 4*w + 1. Let b be t(4). Sort -0.1, -1/2, b.
-1/2, -0.1, b
Suppose 0 = 2*l - l + 2. Let m(p) = -p**2 - p - 1. Let f be m(l). Let o = 466 + -463. Sort o, f, -2.
f, -2, o
Suppose -2*s + 10 = 16. Sort -4, -5, s, 5 in descending order.
5, s, -4, -5
Let j = -6 - -7. Put -5, 2, j in decreasing order.
2, j, -5
Suppose 0 = -3*p + 7*p - 28. Let d(n) = 2*n**2 - 5 + 7*n - n**3 + 8*n**2 - 4*n**2. Let i be d(p). Put i, 5, 4 in descending order.
5, 4, i
Suppose -5*n = 5*p - 75, n + 5 = -0*n. Suppose -2*b - 3*b = p. Put b, 4, 3 in increasing order.
b, 3, 4
Let j be 0/(3 + 1 + -2). Let n = -18 + 15. Let a(o) = -2*o + 2. Let c be a(3). Sort c, j, n in increasing order.
c, n, j
Let j(d) = -2*d - 5. Let u be j(-5). Let h(c) = -c**3 + 4*c**2 - 5*c + 2. Let b(z) = 2*z - 1. Let f be b(2). Let q be h(f). Sort 0, u, q.
q, 0, u
Let m = 6.6 + -1.6. Sort m, 3, -4 in increasing order.
-4, 3, m
Let k be 2*3/(-12)*-28. Suppose 5*l - 44 = -k. Suppose -4*r - 8 - 1 = -t, 3*r = t - l. Put 0, -5, r in descending order.
0, r, -5
Let f = -4.6 + 5. Let j(o) = -o**3 - 5*o**2 + 4*o - 6. Let t be j(-6). Let m be (t/5)/((-14)/10). Put -3, f, m in decreasing order.
f, m, -3
Let f = -2.02 - -0.02. Suppose -3*b + 19 = s, 21 = -s - 0*s + 5*b. Suppose l + x = -0*x + 4, 3*x = 5*l - s. Sort -2/17, f, l in ascending order.
f, -2/17, l
Let t = -3 + 7. Let u = t + 2. Put 1/5, u, -1 in decreasing order.
u, 1/5, -1
Let a(k) = k**2 - 9*k + 16. Let g be a(5). Let z = -3 - -5. Sort z, g, 1 in increasing order.
g, 1, z
Let b = 20 + -20. Put 2, 4, b in increasing order.
b, 2, 4
Let g(f) = -3*f**2 - 7*f + 1. Let x be g(-3). Sort x, -4, 1 in increasing order.
x, -4, 1
Suppose 5*q - y - 2*y = 18, 3*q + 2*y - 7 = 0. Suppose 3*r + 1 = -2. Sort q, 5, r in descending order.
5, q, r
Let r = 0.04 + 5.96. Let c = -7 - -4. Let u = r + c. Sort -3, u, 2 in ascending order.
-3, 2, u
Suppose 2*l = 6*g - g + 1, 5*g + 3*l = 14. Let m be (-1784)/(-890)*g + -2. Let q = -1794/3115 + m. Sort q, 2, -3.
-3, q, 2
Let w = -13 + 13. Suppose -6*p = -4*r - p - 1, 2*p + 6 = w. Sort -2, r, 2 in descending order.
2, -2, r
Let j = 11 - 8. Let m be 4/26*3/j. Put m, -0.5, 2/3 in descending order.
2/3, m, -0.5
Let o = -3 - -6. Suppose -c - 35 = 5*r - 8, -r = -5*c - 5. Let q = r - 0. Sort q, -4, o.
q, -4, o
Let p = -318 + 9541/30. Let w = 1/10 + p. Put w, 4, -1/2 in increasing order.
-1/2, w, 4
Suppose -4*w - 20 = w. Sort 2, 1, w, -17 in increasing order.
-17, w, 1, 2
Let w(b) = b + 6. Let u be w(6). Let i be 3/19*8/u. Let x = -29 + 31. Put -0.3, i, x in increasing order.
-0.3, i, x
Suppose -3*d = 3*x - 2*d + 11, 3*d + 5 = 5*x. Put x, -1, -0.2 in decreasing order.
-0.2, -1, x
Let q be 108/20 + 4/(-10). Let u = 0 - -0.3. Put q, u, -3 in descending order.
q, u, -3
Let i(b) = b + 7. Let y be i(-6). Sort -2, -6, y in descending order.
y, -2, -6
Let l be ((-77)/63 - -1) + (-1 - -1). Sort l, -5, 5.
-5, l, 5
Suppose 0 = -7*k + 2*k + 3*r - 8, -2*k + 4*r = -8. Put k, 1, -2, 3 in decreasing order.
3, 1, -2, k
Let c be (-8)/20 - (-10)/25. Put c, -7, 4 in decreasing order.
4, c, -7
Let k = 3 + 16. Let l = k + -18.7. Sort 4/3, l, -9.
-9, l, 4/3
Suppose -5*u + b = -2*u + 1, -2*b - 18 = 4*u. Let f(w) = 2*w**3 + 3*w**2 + 2*w. Let o be f(-2). Let i = -11 - o. Sort i, u, 5.
i, u, 5
Let x = 3.6 - 4.1. Sort 2/9, 2/5, 0.1, x in decreasing order.
2/5, 2/9, 0.1, x
Let t(m) = m**3 + 10*m**2 + 8*m - 12. Let u be t(-9). Put -2, 1, u in descending order.
1, -2, u
Let a(s) = -s + 1. Let f(c) = -c**2 + 3*c - 1. Let n(d) = -a(d) - f(d). Let v be n(3). Sort -5, 2, v in descending order.
v, 2, -5
Let m = -1 - 0. Suppose 17 = -5*n + 5*r + 12, 4*n = -5*r + 14. Sort -5, n, m in increasing order.
-5, m, n
Let j = 0.8 + -3.8. Put j, 2/17, 0 in ascending order.
j, 0, 2/17
Suppose 4*z + 4 = -3*k + 6, -k = 4*z - 6. Suppose 2*f + i - z = 0, 0 - 5 = -5*f - i. Sort 0.2, f, 5 in decreasing order.
5, f, 0.2
Let d(m) = -m**2 + 14*m + 39. Let s be d(16). Sort s, -5, -3, -2.
-5, -3, -2, s
Let g be ((9 - -1) + -4)/2. Put 6, 2, g in increasing order.
2, g, 6
Suppose -5*r + 152 = -4*f + 16, -4*f + 104 = 5*r. Let x be ((-12)/(-50))/(r/80). Sort 1/4, -5, x.
-5, 1/4, x
Let v = -58 - -57. Sort -2, 0, v, 6 in decreasing order.
6, 0, v, -2
Let y(b) = -b**3 + b**2 + 5. Let l be y(0). Let m(i) = i**3 + 4*i**2 + 5*i + 5. Let w(n) = -n**2 + 7*n - 12. Let c be w(5). Let p be m(c). Sort 4, l, p.
p, 4, l
Let b(h) = h**2 + 0*h**2 + 3*h + 3 - 7*h. Let s be b(4). Suppose s*n - 2*n = -3. Put 1, 3, n in increasing order.
n, 1, 3
Let k = 7 + -6. Sort 4/3, 7, k in descending order.
7, 4/3, k
Let t be (2/6)/(6/(-54)). Let x = -228 - -233.05. Let r = x + -0.05. Sort r, t, 5/3 in ascending order.
t, 5/3, r
Let t = -0.9 + 2.9. Sort 3/2, 2/17, t, 4 in ascending order.
2/17, 3/2, t, 4
Suppose 0*c = 5*c. Let s = -14 + 16. Put -0.5, s, c in decreasing order.
s, c, -0.5
Let q = 6.3 - 6. Put -4, 2, q, -0.1 in increasing order.
-4, -0.1, q, 2
Suppose -4*v + 8 = -2*q, -24 = -7*v + 5*v - 4*q. Sort 3, v, -3, 5 in descending order.
5, v, 3, -3
Suppose -25*u = -30*u - 10. Sort -11, -4, -1, u.
-11, -4, u, -1
Suppose 7*u + 0 = 14. Suppose 4 + 2 = u*h. Sort h, -4, 5 in descending order.
5, h, -4
Suppose -5*d + 12 = | {
"pile_set_name": "DM Mathematics"
} |
0
Round -1978422018 to the nearest 100000.
-1978400000
What is 138.8497942 rounded to 1 decimal place?
138.8
What is 0.1727972755 rounded to 5 decimal places?
0.1728
Round 1632.71651 to the nearest integer.
1633
What is -33.6466292 rounded to 0 decimal places?
-34
What is -3521824.682 rounded to the nearest 10000?
-3520000
What is -26010.1169 rounded to the nearest 10000?
-30000
What is 103421.3733 rounded to the nearest one thousand?
103000
What is 136.36418 rounded to the nearest ten?
140
What is -902497.27 rounded to the nearest 1000?
-902000
What is 0.006499492145 rounded to three dps?
0.006
Round -2.6753894 to the nearest integer.
-3
What is -3437692180 rounded to the nearest 1000000?
-3438000000
What is 8884010035 rounded to the nearest one hundred thousand?
8884000000
What is -6846.08474 rounded to one dp?
-6846.1
What is 6051993800 rounded to the nearest 1000000?
6052000000
Round -72633.1023 to the nearest ten.
-72630
What is -646868673.4 rounded to the nearest 100000?
-646900000
What is -0.0000055117 rounded to 5 decimal places?
-0.00001
Round 11053.9903 to the nearest one thousand.
11000
Round -118490.76 to the nearest ten.
-118490
Round 50204.06 to the nearest 1000.
50000
Round -1.076702229 to two decimal places.
-1.08
Round -2003715640 to the nearest 100000.
-2003700000
Round 498660.9615 to the nearest 1000.
499000
What is -2725711760 rounded to the nearest 1000000?
-2726000000
What is 0.00000138908053 rounded to 7 dps?
0.0000014
What is 2146506710 rounded to the nearest one million?
2147000000
Round -689.69133 to the nearest one hundred.
-700
What is 0.01664755204 rounded to 5 decimal places?
0.01665
Round -0.027097087 to 4 decimal places.
-0.0271
What is -197662.973 rounded to the nearest 10?
-197660
What is -20664950 rounded to the nearest one hundred thousand?
-20700000
What is -0.0579192617 rounded to five dps?
-0.05792
What is -32414.70375 rounded to the nearest 10?
-32410
Round -3622.4706 to the nearest 10.
-3620
What is -237.82286 rounded to the nearest 10?
-240
Round 11771.7636 to the nearest 100.
11800
What is -645.3128 rounded to the nearest ten thousand?
0
What is 24.550122 rounded to the nearest 10?
20
What is -32713507.359 rounded to the nearest one million?
-33000000
What is -65510711700 rounded to the nearest one million?
-65511000000
What is 18785512.5 rounded to the nearest 100000?
18800000
What is 596.879832 rounded to the nearest ten?
600
What is 17101.7583 rounded to the nearest 10?
17100
What is -756288563 rounded to the nearest 10000?
-756290000
What is 8668203.9 rounded to the nearest 1000?
8668000
What is -22060117 rounded to the nearest one hundred thousand?
-22100000
Round -2768125.04 to the nearest ten thousand.
-2770000
Round 20774221.9 to the nearest 1000.
20774000
Round -21.27940397 to three dps.
-21.279
Round -162552900 to the nearest one hundred thousand.
-162600000
What is -2622322970 rounded to the nearest one million?
-2622000000
Round -0.0520063241 to three decimal places.
-0.052
What is -192617130 rounded to the nearest 1000000?
-193000000
Round 1537.088775 to the nearest one hundred.
1500
Round 14.7563376 to two dps.
14.76
Round -0.419550316 to 4 dps.
-0.4196
Round 376928.813 to the nearest 100.
376900
Round 0.000003210172981 to 7 dps.
0.0000032
Round -0.00003951499808 to seven dps.
-0.0000395
Round 0.275587099 to 4 decimal places.
0.2756
What is 0.00072029493 rounded to 5 decimal places?
0.00072
What is -0.000177755947 rounded to 6 decimal places?
-0.000178
What is 39156.3884 rounded to the nearest ten?
39160
Round 89898.7286 to the nearest 10000.
90000
What is -0.00217107372 rounded to four decimal places?
-0.0022
Round -217.45209247 to the nearest 10.
-220
Round -230.386862 to 0 decimal places.
-230
What is -1330449663 rounded to the nearest 100000?
-1330400000
What is 0.004361272202 rounded to 5 dps?
0.00436
Round 1726818.958 to the nearest one hundred.
1726800
What is -15.1204361 rounded to three decimal places?
-15.12
What is 0.000892969036 rounded to four decimal places?
0.0009
What is -187.511614 rounded to one dp?
-187.5
Round -1645.50159 to the nearest ten.
-1650
Round 0.0019325779 to four decimal places.
0.0019
What is 0.0000004199656562 rounded to 7 dps?
0.0000004
Round 0.0045946067 to five dps.
0.00459
Round -0.0002617577131 to 6 dps.
-0.000262
What is -0.00015498704 rounded to 6 decimal places?
-0.000155
What is 397178.316 rounded to the nearest 10?
397180
Round 920.5185546 to the nearest 10.
920
Round 0.0154070984 to 6 decimal places.
0.015407
Round 2.670478996 to 1 decimal place.
2.7
What is -0.00028762931 rounded to 5 decimal places?
-0.00029
Round -486560610 to the nearest 1000000.
-487000000
What is -221.9218245 rounded to two dps?
-221.92
What is -1181725.937 rounded to the nearest one hundred?
-1181700
Round 9382.657 to one decimal place.
9382.7
Round 0.00401669801 to seven dps.
0.0040167
Round -0.0000165008598 to seven dps.
-0.0000165
Round -9247464.15 to the nearest 1000000.
-9000000
What is 4101.35057 rounded to the nearest one hundred?
4100
What is 211.96065691 rounded to 3 dps?
211.961
What is 0.000061517773 rounded to five dps?
0.00006
What is -5.7022119 rounded to 2 decimal places?
-5.7
Round 13411.919 to the nearest 1000.
13000
Round 101222.7277 to the nearest one hundred.
101200
What is 0.021959263 rounded to four decimal places?
0.022
What is 6650523.13 rounded to the nearest one thousand?
6651000
What is 2.042508099 rounded to one decimal place?
2
What is 553737.741 rounded to the nearest one thousand?
554000
Round -401166035 to the nearest 100000.
-401200000
What is -0.01562852 rounded to three dps?
-0.016
Round 3.660667883 to one dp.
3.7
What is 0.72713302 rounded to 1 dp?
0.7
What is -79.6719418 rounded to three dps?
-79.672
Round -41034.638 to the nearest 100.
-41000
Round 2658764.653 to the nearest ten thousand.
2660000
Round -0.4831053415 to 2 dps.
-0.48
What is 73401.6582 rounded to zero dps?
73402
What is -0.7651383632 rounded to two decimal places?
-0.77
What is 0.00000089760759 rounded to 7 decimal places?
0.0000009
What is 0.0052103838 rounded to four dps?
0.0052
What is 0.000000495468269 rounded to 7 decimal places?
0.0000005
What is -2681.3105 rounded to the nearest one hundred?
-2700
What is 336993.5623 rounded to the nearest 10000?
340000
What is 1344717.4893 rounded to the nearest 100?
1344700
What is 0.0003932529332 rounded to four decimal places?
0.0004
What is -116297.074 rounded to the nearest 100?
-116300
What is 2.829237423 rounded to one dp?
2.8
Round 1.738717 to the nearest integer.
2
Round 456672.9 to the nearest 10000.
460000
Round 4713296.8 to the nearest one hundred thousand.
4700000
What is 2142594 rounded to the nearest one hundred thousand?
2100000
Round -0.00000321084503 to seven dps.
-0.0000032
Round 1.33310021 to 2 dps.
1.33
Round -0.00000134261527 to 7 decimal places.
-0.0000013
What is 0.0002698928574 rounded to seven dps?
0.0002699
What is -0.000521094275 rounded to four dps?
-0.0005
What is -114877.237 rounded to the nearest ten thousand?
-110000
What is 95.4540702 rounded to one dp?
95.5
Round -66551.378 to the nearest 100.
-66600
What is -0.00002548616 rounded to 6 dps?
-0.000025
Round 193508302 to the nearest one million.
194000000
Round -58995.754 to the nearest ten.
-59000
What is -15233826 rounded to the nearest one hundred thousand?
-15200000
Round 0.028835166 to six decimal places.
0.028835
What is 31.4304945 rounded to 0 dps?
31
Round -141484.44152 to the nearest one thousand.
-141000
Round -0.0007837528 to 4 decimal places.
-0.0008
Round 17592.1203 to the nearest 10.
17590
What is -0.4157853703 rounded to three decimal places?
-0.416
Round -3742769415 to the nearest one million.
-3743000000
What is -0.00027118861 rounded to five decimal places?
-0.00027
Round -2734636.5 to the nearest 10000.
-2730000
What is 5439656 rounded to the nearest 100000?
5400000
Round 0.00113743136 to 6 dps.
0.001137
Round -0.36369988 to 3 dps.
-0.364
What is 207511.806 rounded to the nearest ten?
207510
Round -0.000000458235381 to seven decimal places.
-0.0000005
What is 6870.958874 rounded to 1 dp?
6871
Round -0.0000007624079186 to seven dps.
-0.0000008
What is 76712.35555 rounded to the nearest ten?
76710
What is -0.00003334177457 | {
"pile_set_name": "DM Mathematics"
} |
- 822)**2/9
Find q, given that 4*q**2/9 - 50*q/3 - 26 = 0.
-3/2, 39
Factor -4*p**2 + 16.
-4*(p - 2)*(p + 2)
Factor 4*g**4 - 192*g**3 - 4*g**2 + 192*g.
4*g*(g - 48)*(g - 1)*(g + 1)
Solve 6482*h**3 - 12968*h**2 + 6490*h - 4 = 0.
2/3241, 1
Suppose -3*r**5 - 69*r**4 - 246*r**3 - 354*r**2 - 231*r - 57 = 0. What is r?
-19, -1
Solve 4*x**3 + 84*x**2 + 224*x + 144 = 0 for x.
-18, -2, -1
Find r, given that -2*r**5/11 - 2*r**4 - 80*r**3/11 - 96*r**2/11 = 0.
-4, -3, 0
Factor -2*d**3 - 54*d**2 - 100*d.
-2*d*(d + 2)*(d + 25)
Factor -3*z**2/4 - 669*z/2 + 1350.
-3*(z - 4)*(z + 450)/4
Suppose 50*r**2 + 45*r - 5 = 0. What is r?
-1, 1/10
Factor -i**2/2 - 51*i + 324.
-(i - 6)*(i + 108)/2
Factor -4*n**2 + 148*n + 312.
-4*(n - 39)*(n + 2)
Suppose -5*w**5 + 160*w**4 + 525*w**3 = 0. What is w?
-3, 0, 35
Let -b**5/6 + 11*b**4/6 - 20*b**3/3 + 8*b**2 = 0. Calculate b.
0, 3, 4
Factor -4*s**3 - 1524*s**2 - 193548*s - 8193532.
-4*(s + 127)**3
Solve -15*x**5/7 + 43*x**4/7 - 24*x**3/7 - 4*x**2/7 = 0 for x.
-2/15, 0, 1, 2
Factor 2*a**5/5 - 2*a**4 + 12*a**3/5 + 8*a**2/5 - 16*a/5.
2*a*(a - 2)**3*(a + 1)/5
Factor -8541*c**2/2 - 8547*c/2 - 3.
-3*(c + 1)*(2847*c + 2)/2
Suppose 8*j**3 + 30*j**2 + 24*j - 8 = 0. Calculate j.
-2, 1/4
Factor -4*n**2 - 40*n + 1836.
-4*(n - 17)*(n + 27)
Factor 5*h**2 - 68*h + 224.
(h - 8)*(5*h - 28)
Let 2*a**2/7 + 22*a/7 + 20/7 = 0. Calculate a.
-10, -1
Let 5*l**2 + 400*l - 405 = 0. Calculate l.
-81, 1
Suppose 20*a**4 - 104*a**3 + 4*a**2 + 80*a = 0. Calculate a.
-4/5, 0, 1, 5
Factor 3*z**3 + 57*z**2 + 105*z + 51.
3*(z + 1)**2*(z + 17)
Factor -5*h**4 - 570*h**3 - 17865*h**2 - 92340*h - 131220.
-5*(h + 3)**2*(h + 54)**2
Factor -2*t**3/7 + 58*t**2/7 - 240*t/7.
-2*t*(t - 24)*(t - 5)/7
Solve -490*r**4 - 1456*r**3 - 7088*r**2/5 - 2496*r/5 - 288/5 = 0.
-6/5, -2/7
Determine m so that -4*m**2 - 180*m + 376 = 0.
-47, 2
Factor -5*y**3 - 300*y**2 + 305*y.
-5*y*(y - 1)*(y + 61)
Factor -5*q**2 - 8710*q - 3793205.
-5*(q + 871)**2
Factor 3*v**5 - 24*v**4 - 30*v**3 + 24*v**2 + 27*v.
3*v*(v - 9)*(v - 1)*(v + 1)**2
Find t, given that 2*t**2/21 - 34*t/7 = 0.
0, 51
Factor 12*p**4 + 386*p**3 + 3136*p**2 + 512*p.
2*p*(p + 16)**2*(6*p + 1)
Solve x**4 + 7*x**3 - 30*x**2 = 0.
-10, 0, 3
Factor 15*s**3/2 - 163*s**2/2 + 66*s - 10.
(s - 10)*(3*s - 2)*(5*s - 1)/2
Factor 2*i**2 + 8*i + 8.
2*(i + 2)**2
Solve -3*w**2 + 84*w - 588 = 0 for w.
14
Factor 4*o**3/7 - 20*o**2 + 732*o/7 - 1044/7.
4*(o - 29)*(o - 3)**2/7
Solve 4*q**5 - 8*q**4 - 144*q**3 + 8*q**2 + 140*q = 0 for q.
-5, -1, 0, 1, 7
Factor 12*d**3 + 64*d**2 + 68*d + 16.
4*(d + 1)*(d + 4)*(3*d + 1)
Factor 5*y**4 - 30*y**3 + 60*y**2 - 50*y + 15.
5*(y - 3)*(y - 1)**3
What is h in -4107*h**3/5 + 8658*h**2/5 - 180*h + 24/5 = 0?
2/37, 2
Factor -l**4/7 - 23*l**3/7 - 144*l**2/7 - 36*l.
-l*(l + 3)*(l + 6)*(l + 14)/7
Factor 10*c**2 - 5256*c - 5266.
2*(c + 1)*(5*c - 2633)
Solve g**3/6 - 26*g**2 + 1352*g - 70304/3 = 0.
52
Solve -3*f**3 - 36*f**2 + 45*f + 78 = 0 for f.
-13, -1, 2
Solve -4*k**4/5 + 467*k**3/5 - 1671*k**2/5 - 2707*k/5 - 113 = 0 for k.
-1, -1/4, 5, 113
Let 2*l**3 + 52*l**2 + 418*l + 968 = 0. Calculate l.
-11, -4
Factor 2*s**3/7 - 184*s**2/7 + 3322*s/7 - 2420.
2*(s - 70)*(s - 11)**2/7
Factor 2*g**5 - 138*g**4 + 564*g**3 + 59276*g**2 + 533610*g + 1389150.
2*(g - 45)**2*(g + 7)**3
Let -w**3 - 98*w**2 + 301*w - 202 = 0. Calculate w.
-101, 1, 2
Suppose v**2/2 - 4*v - 9/2 = 0. What is v?
-1, 9
Factor -5*x**4 - 25*x**3 + 140*x**2 + 160*x.
-5*x*(x - 4)*(x + 1)*(x + 8)
What is q in -54*q**5 - 153*q**4 + 84*q**3 + 171*q**2 - 12*q - 36 = 0?
-3, -2/3, 1/2, 1
Solve -2*j**3/23 - 114*j**2/23 - 1680*j/23 - 1568/23 = 0.
-28, -1
Factor -a**4/6 - 767*a**3 - 5299201*a**2/6 - 1764100*a - 2645000/3.
-(a + 1)**2*(a + 2300)**2/6
Factor r**4/6 - 31*r**3/6 + 37*r**2 + 160*r/3 - 256/3.
(r - 16)**2*(r - 1)*(r + 2)/6
Factor -t**5/3 + 49*t**4/3 + 298*t**3 + 4108*t**2/3 + 7352*t/3 + 1536.
-(t - 64)*(t + 2)**3*(t + 9)/3
What is u in -4*u**5/3 + 14936*u**4/3 - 13942756*u**3/3 = 0?
0, 1867
Factor 8*g**3 + 228*g**2 + 1680*g + 784.
4*(g + 14)**2*(2*g + 1)
Find r, given that 5*r**2 - 600*r - 1845 = 0.
-3, 123
Determine v so that -v**5/5 + 7*v**4/5 + v**3 - 71*v**2/5 - 8*v + 20 = 0.
-2, 1, 5
Solve -236*v**2 - 3296*v + 112 = 0.
-14, 2/59
Determine b, given that b**2/5 + 58*b + 4205 = 0.
-145
Factor 2*j**2 + 382*j.
2*j*(j + 191)
What is f in 21*f**3 + 90*f**2 - 648*f - 192 = 0?
-8, -2/7, 4
Factor -4*s**4 + 12052*s**3 - 9072140*s**2 - 9084196*s.
-4*s*(s - 1507)**2*(s + 1)
Determine x so that 5*x**3 + 70*x**2 - 75*x = 0.
-15, 0, 1
Find o, given that 2*o**4 + 636*o**3/5 + 10294*o**2/5 + 1140*o - 3968/5 = 0.
-32, -31, -1, 2/5
Let 6*v**5/11 - 48*v**4/11 - 54*v**3/11 = 0. What is v?
-1, 0, 9
Factor -2*b**4 + 572*b**3 - 52272*b**2 + 1293732*b + 21346578.
-2*(b - 99)**3*(b + 11)
Find q such that 5*q**4 + 1295*q**3 + 83200*q**2 - 84500*q = 0.
-130, 0, 1
Find l such that l**4/2 + 2*l**3 - 73*l**2/2 + 28*l + 66 = 0.
-11, -1, 2, 6
Suppose -2*u**3/5 - 92*u**2/5 + 2*u/5 + 92/5 = 0. What is u?
-46, -1, 1
Suppose 2*o**4/13 + 38*o**3/13 + 198*o**2/13 + 378*o/13 + 216/13 = 0. Calculate o.
-12, -3, -1
Determine w, given that 2*w**3/7 + 18*w**2 + 2592*w/7 + 17496/7 = 0.
-27, -18
Let -2*r**5/3 + 4*r**4/3 + 12*r**3 - 16*r**2/3 - 82*r/3 + 20 = 0. Calculate r.
-3, -2, 1, 5
Factor -b**3/7 - b**2/7.
-b**2*(b + 1)/7
Factor -7*u**4 + 30*u**3 - 43*u**2 + 24*u - 4.
-(u - 2)*(u - 1)**2*(7*u - 2)
Suppose 3*u**3 + 3*u**2 - 18*u = 0. Calculate u.
-3, 0, 2
Let 3*i**3/2 - 12*i**2 - 69*i/2 + 45 = 0. What is i?
-3, 1, 10
Determine v so that -3*v**3/5 - 33*v**2/5 - 96*v/5 - 84/5 = 0.
-7, -2
Factor -10*h**4/17 + 112*h**3 - 760*h**2/17.
-2*h**2*(h - 190)*(5*h - 2)/17
Let -6*p**2/11 + 482*p/11 + 324/11 = 0. Calculate p.
-2/3, 81
Factor 2*x**3/15 - 338*x**2/15 + 4466*x/5 + 5046.
2*(x - 87)**2*(x + 5)/15
Factor 4*b**3/3 + 12*b**2 + 32*b/3.
4*b*(b + 1)*(b + 8)/3
Determine c so that 4*c**2 - 10208*c + 10204 = 0.
1, 2551
Let -2*x**4/11 + 14*x**3/11 + 216*x**2/11 - 248*x/11 - 448/11 = 0. What is x?
-8, -1, 2, 14
Suppose -2*y**2 + 5*y/3 + 1/3 = 0. What is y?
-1/6, 1
Suppose -3*d**4 - 24*d**3 - 9*d**2 + 96*d + 84 = 0. Calculate d.
-7, -2, -1, 2
Solve -u**2/4 - 125*u - 15625 = 0 for u.
-250
Factor -4*q**2 - 44*q - 120.
-4*(q + 5)*(q + 6)
Factor 6*n**3 + 37*n**2 - 98*n.
n*(n - 2)*(6*n + 49)
Solve l**2 - 108*l + 212 = 0.
2, 106
What is a in -6*a**4 - 231*a**3 + 156*a**2 + 1539*a + 702 = 0?
-39, -2, -1/2, 3
Factor -3*g**2 - 54*g - 96.
-3*(g + 2)*(g + 16)
Find j, given that -18*j**3 - 284*j**2 + 4114*j - 900 = 0.
-25, 2/9, 9
Find x, given that x**5/8 - x**4 - x**3/8 + x**2 = 0.
-1, 0, 1, 8
Find c such that 2*c**4 + 82*c**3 - 32*c**2 - 1312*c = 0.
-41, -4, 0, 4
Solve -3*f**2 + 2754*f - 632043 = 0.
459
Find v such that 3*v**3 + 736*v**2 + 977*v + 244 = 0.
-244, -1, -1/3
Let -x**5/3 - 34*x**4/9 + 3*x**3 + 34*x**2/9 - 8*x/3 = 0. Calculate x.
-12, -1, 0, 2/3, 1
Find f such that 2*f**2/3 + 4*f + 16/3 = 0.
-4, -2
Find a such that -2*a**2 + 66*a + 140 = 0.
-2, 35
Factor -5*n**4 - 25*n**3 + 160*n**2 - 180*n.
-5*n*(n - 2)**2*(n + 9)
Factor 16*l**2 - 12*l - 4.
4*(l - 1)*(4*l + 1)
Suppose l**5/6 - 6*l**4 + 23*l**3/2 - 17*l**2/3 = 0. What is l?
0, 1, 34
Suppose -3*p**4/7 - 75*p**3 + 528*p**2/7 = 0. What is p?
-176, 0, 1
Factor -j**2/9 + 68*j/9 + 71/3.
-(j - 71)*(j + 3)/9
Factor -5*l**2 - 90*l + 95.
-5*(l - 1)*(l + 19)
Factor 162*k**5 + 17892*k**4 + 497978*k**3 + 218680*k**2 + 24200*k.
2*k*(k + 55)**2*(9*k + 2)**2
Solve t**2/12 + 3*t/2 + 17/12 = 0.
-17, -1
Solve -2*j**4/11 - 78*j**3/11 - 122*j**2/11 + 942*j/11 - 740/11 = 0.
-37, -5, 1, 2
Let -3*p**2/2 + 3201*p + 6408 = 0. Calculate p.
-2, 2136
Determine f, given that f**4 - 14*f**3 - 73*f**2 + 14*f + 72 = 0.
-4, -1, 1, 18
Determine l so that -5*l**5 - 15*l**4 + 10*l**3 + 30*l**2 - 5*l - 15 = 0.
-3, -1, 1
Factor 5*v**4 + 165*v**3 - 180*v**2 - 340*v.
5*v*(v - 2)*(v + 1)*(v + 34)
Solve 2*b**3/11 + 8*b**2/11 - 104*b/11 + 160/11 = 0 for b.
-10, 2, 4
Solve -40*w**5/3 + 9*w**4/2 + 161*w**3/3 - 18*w**2 - 4*w/3 = 0 for w.
-2, -1/16, 0, 2/5, 2
Find g, given that -4*g**2/3 - 16*g/3 + 20/3 = 0.
-5, 1
Solve s**2/6 + 188*s/3 - 377/6 = 0.
-377, 1
Find o, given that -2*o**3/5 - 12*o**2/5 + 32*o/5 = 0.
-8, 0, 2
Solve -8*t**2 - 100*t - 132 = 0 for t.
-11, -3/2
Factor -49*g**4 - 322*g**3 - 613*g**2 - | {
"pile_set_name": "DM Mathematics"
} |
e ccv when three letters picked without replacement from vvvvvccvcv?
7/120
Three letters picked without replacement from {p: 1, h: 1, o: 1, w: 1, r: 2, c: 1}. Give prob of sequence hpc.
1/210
Two letters picked without replacement from rruuqqrr. What is prob of sequence ur?
1/7
Three letters picked without replacement from {g: 4, o: 7, v: 3}. Give prob of sequence gvv.
1/91
Two letters picked without replacement from {q: 6, m: 4, a: 1, y: 2, u: 4}. Give prob of sequence aq.
3/136
Three letters picked without replacement from qqdhqbhpqbbhdppd. What is prob of sequence bdd?
3/560
What is prob of sequence ng when two letters picked without replacement from {a: 7, r: 2, g: 1, n: 1, s: 4, q: 4}?
1/342
What is prob of sequence eepd when four letters picked without replacement from {w: 1, p: 2, r: 1, d: 1, e: 2}?
1/210
Two letters picked without replacement from nnntzatznzzzntz. What is prob of sequence zn?
1/7
What is prob of sequence eq when two letters picked without replacement from {e: 5, q: 5, a: 4}?
25/182
Two letters picked without replacement from {b: 1, x: 3, c: 3}. Give prob of sequence bx.
1/14
Two letters picked without replacement from {k: 1, j: 3, a: 5}. What is prob of sequence ak?
5/72
What is prob of sequence lym when three letters picked without replacement from {m: 1, l: 1, w: 1, u: 1, y: 2, p: 2}?
1/168
What is prob of sequence cnlc when four letters picked without replacement from {p: 1, c: 5, o: 1, l: 6, n: 2}?
2/273
What is prob of sequence jzlz when four letters picked without replacement from {l: 2, z: 2, j: 1, h: 1, c: 1, a: 1}?
1/420
Four letters picked without replacement from {b: 2, v: 1, f: 1, o: 2}. Give prob of sequence fboo.
1/90
What is prob of sequence owk when three letters picked without replacement from {k: 1, o: 1, w: 6, e: 9}?
1/680
Four letters picked without replacement from {q: 4, f: 3, r: 2, a: 2, z: 6}. What is prob of sequence rqqz?
3/1190
Two letters picked without replacement from {z: 6, a: 11, s: 1}. What is prob of sequence zz?
5/51
Three letters picked without replacement from {n: 9, r: 11}. Give prob of sequence nrr.
11/76
Two letters picked without replacement from {p: 1, d: 1, u: 1, g: 2}. What is prob of sequence gu?
1/10
What is prob of sequence att when three letters picked without replacement from aaaaaatataaaataaaata?
8/285
What is prob of sequence zid when three letters picked without replacement from mzdiiz?
1/30
Calculate prob of sequence vy when two letters picked without replacement from pvpvppppyvvppvpppp.
5/306
Two letters picked without replacement from {e: 2, t: 1, s: 3, v: 1, f: 3}. Give prob of sequence fs.
1/10
Two letters picked without replacement from jjnejnjjnjn. Give prob of sequence nj.
12/55
What is prob of sequence hh when two letters picked without replacement from nhhh?
1/2
What is prob of sequence gbng when four letters picked without replacement from nngbgggnbgggbngngngb?
6/323
Two letters picked without replacement from msskkksm. What is prob of sequence km?
3/28
What is prob of sequence umum when four letters picked without replacement from umuuummuuuu?
7/165
Four letters picked without replacement from ubbbbyybbuuubbbu. What is prob of sequence uyuu?
1/364
Two letters picked without replacement from {f: 18, l: 2}. Give prob of sequence fl.
9/95
Two letters picked without replacement from {l: 7, f: 3}. What is prob of sequence ff?
1/15
Calculate prob of sequence ee when two letters picked without replacement from {w: 5, e: 9}.
36/91
What is prob of sequence qqg when three letters picked without replacement from {q: 8, g: 2}?
7/45
Three letters picked without replacement from {r: 2, b: 1, e: 6, a: 2}. What is prob of sequence bra?
2/495
Two letters picked without replacement from xlclxaet. Give prob of sequence ll.
1/28
What is prob of sequence kwkw when four letters picked without replacement from {k: 2, w: 7}?
1/36
What is prob of sequence fnh when three letters picked without replacement from {g: 6, f: 5, n: 1, h: 3}?
1/182
Calculate prob of sequence du when two letters picked without replacement from cdciiuidiiicu.
1/39
What is prob of sequence uhq when three letters picked without replacement from zuvhvsqz?
1/336
Calculate prob of sequence qm when two letters picked without replacement from xmnnnmnqnnnmnnmxmq.
5/153
What is prob of sequence saa when three letters picked without replacement from ssagqgaggsasggggaqa?
40/2907
What is prob of sequence ill when three letters picked without replacement from {o: 9, i: 1, l: 10}?
1/76
Two letters picked without replacement from {c: 2, i: 2}. What is prob of sequence cc?
1/6
Two letters picked without replacement from {o: 2, b: 1, n: 3, k: 1, e: 3}. Give prob of sequence oe.
1/15
What is prob of sequence ptp when three letters picked without replacement from utbutubtbbbebttpp?
1/408
Four letters picked without replacement from dnfndxdxddnd. What is prob of sequence xxfd?
1/990
Calculate prob of sequence jrrr when four letters picked without replacement from {v: 4, r: 4, j: 2}.
1/105
Calculate prob of sequence cv when two letters picked without replacement from {c: 9, v: 2}.
9/55
Three letters picked without replacement from {s: 3, q: 17}. What is prob of sequence qss?
17/1140
Three letters picked without replacement from jjukukkkjjkgukjuuj. Give prob of sequence gkk.
5/816
Calculate prob of sequence yiy when three letters picked without replacement from ttoyyi.
1/60
Two letters picked without replacement from {r: 1, s: 1, f: 1, a: 2}. What is prob of sequence af?
1/10
Calculate prob of sequence lu when two letters picked without replacement from nuncnsuncjslcc.
1/91
What is prob of sequence bi when two letters picked without replacement from chccbicb?
1/28
Calculate prob of sequence lpl when three letters picked without replacement from {l: 3, p: 6, t: 2, j: 1, e: 2}.
3/182
Four letters picked without replacement from {x: 4, n: 2}. What is prob of sequence xnxn?
1/15
What is prob of sequence bbw when three letters picked without replacement from bbbbwwwb?
5/28
Calculate prob of sequence oj when two letters picked without replacement from woajm.
1/20
What is prob of sequence io when two letters picked without replacement from ino?
1/6
Calculate prob of sequence crrr when four letters picked without replacement from ccrcrrr.
3/35
Two letters picked without replacement from lmxl. What is prob of sequence ll?
1/6
Two letters picked without replacement from {s: 3, v: 3, e: 2, o: 1, c: 7, r: 2}. Give prob of sequence oc.
7/306
Two letters picked without replacement from {t: 2, x: 3, i: 1, z: 3, o: 5, v: 1}. Give prob of sequence ov.
1/42
What is prob of sequence fexs when four letters picked without replacement from effxssaflfasaf?
5/8008
Three letters picked without replacement from {b: 1, y: 1, h: 1, d: 1, r: 2, t: 1}. What is prob of sequence rhy?
1/105
Calculate prob of sequence qhn when three letters picked without replacement from fhhqfffnqhqf.
3/440
Four letters picked without replacement from lppjplplpq. Give prob of sequence lqlj.
1/840
Calculate prob of sequence aa when two letters picked without replacement from {t: 17, a: 2}.
1/171
Calculate prob of sequence ve when two letters picked without replacement from {f: 1, v: 1, e: 1, l: 2, m: 5}.
1/90
What is prob of sequence nhhn when four letters picked without replacement from pcppccnphh?
0
Four letters picked without replacement from {o: 9}. What is prob of sequence oooo?
1
What is prob of sequence tss when three letters picked without replacement from fnnffvcnsfssft?
1/364
Calculate prob of sequence nwq when three letters picked without replacement from {n: 2, w: 1, y: 6, q: 2, a: 3, t: 4}.
1/1224
What is prob of sequence vq when two letters picked without replacement from {r: 4, v: 1, b: 3, q: 5, x: 1}?
5/182
Three letters picked without replacement from yagyayqnqya. What is prob of sequence gyq?
4/495
Three letters picked without replacement from tcktcpkpk. Give prob of sequence tpc.
1/63
What is prob of sequence wyw when three letters picked without replacement from {y: 1, w: 2, k: 2}?
1/30
Two letters picked without replacement from {s: 4, p: 3, g: 5}. Give prob of sequence gg.
5/33
Three letters picked without replacement from {y: 5, w: 4, a: 1}. Give prob | {
"pile_set_name": "DM Mathematics"
} |
r: r or -28?
-28
Let b = 0.1 - 0.2. Suppose -3 = -t - 2. Which is smaller: b or t?
b
Let z = 12 + -13. Let w be ((-24)/33)/(-4)*1. Which is bigger: z or w?
w
Let v(d) = -12*d + 4. Let c(f) = 3*f - 1. Let r(o) = 9*c(o) + 2*v(o). Let k be r(-3). Is -10 at most k?
True
Suppose -47*q + 42*q - 15 = 0. Do q and -3 have different values?
False
Let p be 8/6 + 1/(-3). Are p and -2/31 non-equal?
True
Let v(z) = -z**2 - 4*z + 6. Let s be v(-5). Let q = 1 + s. Let u be -1*(0 + q/(-1)). Is 1 <= u?
True
Suppose -5*a - 58 - 492 = 0. Let g be a/56 + 4/16. Which is bigger: g or -3?
g
Let l be (6/(-12) - (-1)/3)*43. Which is smaller: l or -6?
l
Suppose 2*i + 4*u = -1816, -3*u - 2739 = 3*i - 0*u. Let j = i - -8270/9. Which is smaller: j or 2?
j
Suppose s + 6 = 2*x - 0, s + 4 = 0. Let j be -2 - (2130/(-212))/5. Let r = 28/159 - j. Which is bigger: x or r?
x
Let g(w) = w**3 - 2*w**2 + w. Let a(u) = 3*u**3 - 3*u**2 + 3*u. Let y(l) = -2*a(l) + 5*g(l). Let f be y(-4). Suppose 0 = -f*t + 5*t. Which is greater: t or 1?
1
Suppose 15 = -6*v + 3*v. Let s be 0 + 1 + v + 1. Are s and -3 equal?
True
Let l = 1/14 + -33/70. Let r(j) = j**3 - j - 1. Let g be r(0). Is l < g?
False
Let k(c) = 2 - c - 2*c + 2*c**2 - c**2. Let q be k(4). Suppose -2*f + q*f = 24. Is f <= 5?
False
Let i be 35/15*2/7. Let y be 0 + 1 - (-8 - -1). Let p(k) = -k**3 + 8*k**2 - k + 8. Let v be p(y). Is v < i?
True
Let h(l) = -l**3 + 4*l**2 - l + 8. Let n be h(6). Let q be 6/(-9) - n/(-12). Let r = 7 + q. Which is smaller: r or 0?
0
Let g(z) = z**2 - 5*z + 2. Let a be g(5). Let u = a + -3. Which is bigger: -4/3 or u?
u
Suppose -3*o = -o - 10, 3*m = 4*o - 23. Which is smaller: m or -7?
-7
Suppose -5*n - 2 = 3*z, 9*n - 6*n + 2*z = -1. Is -7/19 equal to n?
False
Let w = 10 + -7. Let c = -7 + 5. Let y = c - -5. Are y and w equal?
True
Let c = -24 + 20. Are c and -0.1 unequal?
True
Let t = 7.6 - 8. Which is smaller: -2 or t?
-2
Let m be (-4)/(-6)*1/(-3). Let i be 1/(-1)*(-4)/2. Suppose -2*g - i = -5*u, 3*u = -2*u. Is m equal to g?
False
Let c = -12.3 - -13. Let n = 0.3 + c. Is 0 > n?
False
Suppose 0*n - 2 = -2*n. Suppose -1 = 5*o + 3*b, -3*b + 2*b + 3 = 5*o. Is o smaller than n?
False
Let m = -8 - -3. Let i = m - -13. Is i != 8?
False
Let t = 1 + -31/33. Let b be 1*2*(-9)/66. Let z = t - b. Is z > -1?
True
Let o = -1 - 0. Do o and 1/3 have different values?
True
Suppose 0 = b - 2*b + 4. Suppose 9*l - 4*l = -5*s - 90, b*s + l = -60. Which is greater: -15 or s?
s
Let w = 5/191 - 29233/382. Let i = w - -78. Which is greater: 0.1 or i?
i
Let b be 3/6*(6 - 6). Which is bigger: b or -4/9?
b
Suppose 3*u + 0*u = 0. Suppose -2*b - 3*l = b, u = -b - 4*l. Which is greater: 1 or b?
1
Let s be 3 + (16 + -18 - (-8)/(-10)). Suppose 1 = 3*k - 2. Which is smaller: s or k?
s
Let q be ((-2)/8 - -1)*-1. Which is bigger: -2 or q?
q
Let i be (-18)/20 + 6/12. Is i < 3/4?
True
Suppose -76 - 428 = 2*r. Let z = -52 + r. Let b = z - -1223/4. Is 1 greater than b?
False
Let m(y) = -y**3 + 6*y**2 + 17*y + 7. Let n be m(8). Suppose -5*t + 84 = -3*w, t = -0*t + 3*w + 24. Is t bigger than n?
False
Let x be 4652/(-66) + (-10)/55. Let k = -70 - x. Let y = -5/26 + -3/52. Which is smaller: k or y?
y
Let i(s) = -s**2 + 9*s - 13. Let f be i(7). Is 1 <= f?
True
Let j = 1.3 - -10.7. Which is bigger: j or -2?
j
Let u(x) be the third derivative of -x**6/120 + x**5/30 - x**3/6 - x**2. Let m = -5 - -4. Let h be u(m). Is 1 bigger than h?
False
Suppose p = -2*u - 2 + 8, 5*u - 15 = -p. Let c be 3/(10/(-1 + 0)). Which is greater: c or p?
p
Let m be 22/(-28) + 1/2. Let t = 10 - 0. Let z = 10 - t. Is m greater than z?
False
Let z = 162 - 71. Suppose 4*d - z - 189 = 0. Let v be 4/18 - d/72. Is v < 0?
True
Let v = -8 + 8. Is -2/51 bigger than v?
False
Suppose 6 = 2*q - 3*q. Let n(k) = -k**3 - 5*k**2 + 6*k. Let o be n(q). Which is smaller: o or 3?
o
Let x = -20 + 27. Is x at least as big as 76/9?
False
Suppose -9*b + 28 = -7*b. Are 14 and b nonequal?
False
Let c be (-12)/135*(-10)/(-36). Is 0 at least c?
True
Suppose -5*g = -0*g - 4*a + 13, 0 = -2*g + a - 4. Which is smaller: 1/14 or g?
g
Suppose -1 = -2*d - 3. Let j be (-2)/6 - 30/(-9). Suppose -2*v - 5 + j = 0. Is v < d?
False
Let x be (-16437)/(-66) + (-2)/(-4). Let h = x - 250. Let t = 26/33 + h. Which is smaller: t or 0?
0
Let u = -38 - -41. Are u and 2 nonequal?
True
Let z = -100 + 69. Are -31 and z equal?
True
Suppose 0 = 3*j + 19 + 17. Which is smaller: -13 or j?
-13
Suppose -v - 1 = -0. Is v <= 3/7?
True
Let l(d) = d**2 - 3*d + 3. Let t be l(2). Suppose -2 = 3*m + t. Which is smaller: 0 or m?
m
Let s(g) = 2*g - 35. Let p be s(16). Suppose 3*r + 9 = -12. Is r > p?
False
Let x = 27 - 24. Suppose -x*r - r = 0. Is 2/3 != r?
True
Let n = -31 - -61/2. Which is smaller: 0 or n?
n
Let o = 1.1 - 1.17. Let l = 0.37 + o. Is 2/5 at least l?
True
Suppose 3*l = -2*f - 2*f + 83, -f = -5*l - 15. Is 20 at most as big as f?
True
Suppose -m + 4*l - 8 = 0, 2*m - 10 = 4*m - 5*l. Is 1/80 greater than or equal to m?
True
Let w = -5 - -10. Suppose 4*f + 6*m = m - 33, w*f - 5 = 3*m. Which is smaller: -6/5 or f?
f
Suppose -35 = -2*w - 3*w. Is 7 at least w?
True
Suppose n + l - 39 = 0, 1 = l - 1. Suppose 5 = 5*i + p - n, 4*i - 40 = -4*p. Suppose r + r + i = 0. Is -5 >= r?
False
Suppose -5*y + 20 = -5*a, -2*a = -2*y + 4*y - 8. Let c be 1/(5/y + -1). Suppose -w + 6 = c. Is w greater than 2?
False
Let b = -21 - -20.98. Is 1 equal to b?
False
Let f(z) = -3*z. Let a be f(-1). Suppose 2*y - 2*i - 1 - 5 = 0, -5*y = a*i - 15. Let c = -5 + y. Is -1 >= c?
True
Suppose -4*r = -8, -r = -2*v + v + 6. Is v != 0?
True
Let g(l) = l - 3. Let d be g(9). Which is smaller: -0.1 or d?
-0.1
Let z = -17 - -22. Does 1/3 = z?
False
Let k(f) = f + 5. Let w be k(-4). Is -2/41 >= w?
False
Let c = 2.065 - 0.065. Which is bigger: c or 12?
12
Let l be 2 + -1 + (-9)/6. Let i = -0.046 + -0.054. Which is greater: i or l?
i
Let i = 0.02 + -4.02. Let a(s) = -s - 4. Let b be a(-5). Let t be b/(-3) - 7/(-21). Which is smaller: i or t?
i
Suppose -3*y + 8 = -2*a, 0 = 2*y + a - 0 - 10. Suppose j - c - 6 = y*c, 0 = -3*j - 5*c - 2. Does j = 1/5?
False
Let o = -7 - -10. Suppose -b - 4*b + 7 = -g, -b = 2*g + o. Is b bigger than 0.2?
True
Suppose -74*f - 3 = -71*f. Is f equal to -6/35?
False
Let c(p) = p + 15. Let h be c(-10). Suppose -3*q + 0*q + h*m = 23, 2*m = -q + 7. Which is smaller: 0.1 or q?
q
Suppose 3 = -4*t - 9, 4*o = -3*t + 11. Suppose 2 + 8 = o*d. Let a = d - 4. Which is smaller: -3 or a?
-3
Let x = -38 + 48. Is x smaller than 0.2?
False
Suppose -39 = 4*a - 23. Let x be (-10)/(-8) - 3/12. Let c = x + a. Which is smaller: c or -4?
-4
Suppose 5 - 3 = 2*b. Is b >= 1?
True
Let l be ((-5)/(-5 - 0))/((-10)/(-6)). Suppose 4*o = 3*j + 9, -3*o + 9 = -4*j + 4. Let g = o + -2. Is l > g?
False
Suppose -2*k = 3*o + 1 + 5, 3*k = -9. Which is smaller: 41 or o?
o
Suppose 0 = -3*o + 23 + 1. Suppose -5*w = -4*g - 2 - o, -g - 3*w + 6 = 0. Let h = 5/7 + -23/42. Is h greater than g?
True
Let l be -1 + 1*(-2 + 27). Which is smaller: l or 23?
23
Let p = 46 - 101. Is -55 smaller than p?
False
Let q = -3.8 + -1.2. Let v = q + 2.2. Let h = 3 + v. Which is smaller: h or 0?
0
Let f be (24/18)/(2/3). Which is bigger: f or 0?
f
Suppose -2*v = a - 6*v + 7, -5*a + v = -3. Which is smaller: 1/14 or a?
1/14
Let i = -875/2501 + 13/41. Which is bigger: i or -1/3?
i
Let g = 46 - 46.2. Suppose -2*a = -5*j, 5 - 36 = 3*j + 5*a. Which is smaller: g or j?
j
Let g = -1086/17 - -64. Suppose 2*i + 4*t = -2, -6*i - 3*t = -3*i. Which is smaller: i or g?
g
Suppose 2*p - 6 = 3*g - 39, 0 = -2*g - p + 15. Let i = g - 4. Which is smaller: 3 or i?
3
Suppose -5*j - 1 = -m - 7, 0 = 2*m - j - 6. Suppose -m*x = -0*x - 20. Let s be (-23)/15 + 1/x. Which is smaller: s or -1?
s
Let q be (5 + (-21)/3)*(-2)/34. Is -4 bigger than q?
False
Let l = -2.04 - -0.04. Suppose -g - 4*g = -200. Let u = g - 278/7. Does u = l?
False
Let s = 32 + -19. Let b = s + -9. Which is smaller: b or 2?
2
Suppose 0 = -2*h + 4*h + 4. Which is bigger: -6 or h?
h
Let a = 53 + -53. Suppose -18 = -3*l + s + s, -4*l - 3*s + 7 = 0. Let w be 58/56 + l/(-14). Which is smaller: a or w?
a
Let q be ((-5)/(-15)*-3)/5. Which is bigger: q or -0.3?
q
Let q be (20/318)/5*66. Let s = q - -6979/212. Let y = -34 + s. Which is bigger: y or -1?
y
Let y = -0.27 + -0.0 | {
"pile_set_name": "DM Mathematics"
} |
hat is 11201 - 10?
11121
In base 8, what is -32 - 437?
-471
In base 7, what is 5 - 103?
-65
In base 11, what is 10aa + 0?
10aa
In base 16, what is 15d - 4?
159
In base 8, what is -14067 - -5?
-14062
In base 14, what is -111 + 8?
-107
In base 9, what is -120 + -1?
-121
In base 16, what is 5 - -342?
347
In base 3, what is 20 + -221?
-201
In base 8, what is -355 - -34?
-321
In base 2, what is 110110010 - -10?
110110100
In base 13, what is -1 - 9?
-a
In base 6, what is -10 - 542?
-552
In base 7, what is -106 - -10?
-66
In base 4, what is -21 - 202332?
-203013
In base 16, what is 5 + 928?
92d
In base 8, what is 3552 - 2?
3550
In base 11, what is 2212 + -a?
2203
In base 9, what is -6 - 46?
-53
In base 6, what is -40 + -2?
-42
In base 4, what is 20 - -11?
31
In base 14, what is -c + -4?
-12
In base 10, what is 1229 - 3?
1226
In base 11, what is 15 + 5?
1a
In base 9, what is -1 - 273?
-274
In base 16, what is 1b5 + 2?
1b7
In base 7, what is -3 + -25?
-31
In base 11, what is -1 + 455?
454
In base 2, what is -1 - -10000101100?
10000101011
In base 2, what is -1 - 100010?
-100011
In base 8, what is -10 - 60?
-70
In base 14, what is -3 + 12a?
127
In base 12, what is 1 + a17?
a18
In base 12, what is 7b - -3?
82
In base 7, what is -440 - 61?
-531
In base 12, what is 3a - -2?
40
In base 8, what is 5 - 1255?
-1250
In base 2, what is 1101110001 + 11?
1101110100
In base 15, what is 15 - 4?
11
In base 3, what is 101 + 12201?
20002
In base 4, what is 31212 - 3?
31203
In base 12, what is 4 - 495?
-491
In base 12, what is 164 - 1?
163
In base 7, what is 65 + -2?
63
In base 11, what is 283 - -25?
2a8
In base 12, what is -47 + 42?
-5
In base 9, what is -3 + 6?
3
In base 3, what is 10 + -1012?
-1002
In base 6, what is -5 - -25?
20
In base 7, what is -4 - 6132?
-6136
In base 5, what is 323 + 2?
330
In base 13, what is 20c - 0?
20c
In base 11, what is 545 - 5?
540
In base 16, what is -3 + -28?
-2b
In base 12, what is -2 + -37a5?
-37a7
In base 14, what is 2 + 342?
344
In base 14, what is -10 - -a?
-4
In base 8, what is 6 + -524?
-516
In base 5, what is 12 + -123?
-111
In base 3, what is -1 - 1111001?
-1111002
In base 3, what is 0 - 2000?
-2000
In base 7, what is 4 - 53?
-46
In base 13, what is 3a9 + 4?
3b0
In base 2, what is 101 + -101010011?
-101001110
In base 14, what is 675 + -2?
673
In base 14, what is -5 + -c?
-13
In base 6, what is 2 - -35?
41
In base 16, what is -40 - -2?
-3e
In base 6, what is -43 + 4?
-35
In base 3, what is -110112 + -22?
-110211
In base 2, what is 1011101111 - 101?
1011101010
In base 4, what is -32102 + 11?
-32031
In base 13, what is 2 - -245?
247
In base 13, what is 3 - a?
-7
In base 4, what is -11231 + -12?
-11303
In base 4, what is 13213 - 11?
13202
In base 2, what is -100111 - 10001?
-111000
In base 5, what is 3 - 2434?
-2431
In base 13, what is 8b - -4?
92
In base 4, what is -10 - -200?
130
In base 9, what is -8 + 37?
28
In base 7, what is -5413 - 1?
-5414
In base 12, what is 11 + -16?
-5
In base 8, what is -14 - -15?
1
In base 7, what is 6 + -663?
-654
In base 7, what is -503 + -12?
-515
In base 14, what is 111 - -2c?
13d
In base 12, what is -a + -6?
-14
In base 9, what is 528 + 3?
532
In base 8, what is 6 - -512?
520
In base 9, what is 3 + -34?
-31
In base 9, what is -7 + 323?
315
In base 12, what is 0 - -10?
10
In base 15, what is -2 - 1c19?
-1c1b
In base 4, what is -2303 + -12?
-2321
In base 5, what is 301 + 101?
402
In base 9, what is -520 - 24?
-544
In base 3, what is 11120100 - -2?
11120102
In base 11, what is -112 + -4?
-116
In base 6, what is 242 + 2?
244
In base 12, what is -b3 + 175?
82
In base 3, what is -20212 - 11?
-21000
In base 11, what is 9 - 13?
-5
In base 11, what is 2 - 348?
-346
In base 8, what is 5 + -742?
-735
In base 10, what is -9 - -14?
5
In base 11, what is -5 - -2402?
23a8
In base 8, what is -71 - 4?
-75
In base 14, what is -5d + -15?
-74
In base 16, what is -1 + -6e?
-6f
In base 9, what is 734 - -1?
735
In base 3, what is 120112 - -1?
120120
In base 9, what is -60 - 3?
-63
In base 8, what is 273 + -1?
272
In base 4, what is 13 - -10132?
10211
In base 15, what is 2 - -2182?
2184
In base 10, what is -68 - -38?
-30
In base 3, what is 1022 + -11?
1011
In base 10, what is 67 + -134?
-67
In base 9, what is 11 + -42?
-31
In base 15, what is -12 + 48c?
47a
In base 14, what is -92 + -3a?
-cc
In base 6, what is 2 + 45044?
45050
In base 10, what is 482 + 1?
483
In base 7, what is 10 - 35?
-25
In base 13, what is -302 - -5?
-2ca
In base 15, what is 9 + -6?
3
In base 10, what is 12 - -35?
47
In base 8, what is 1 - -346?
347
In base 5, what is 10 + -1100?
-1040
In base 5, what is -100 + 220?
120
In base 11, what is -5 + -119?
-123
In base 10, what is 8 + 231?
239
In base 4, what is 3 + 113?
122
In base 6, what is 1134 - -4?
1142
In base 4, what is -2 - -101222?
101220
In base 14, what is 298 + 3?
29b
In base 11, what is -16 - 57?
-72
In base 12, what is 3 + 17?
1a
In base 14, what is a + -94?
-88
In base 10, what is -740 - 0?
-740
In base 2, what is -100100 - -1101000?
1000100
In base 16, what is 2 - 88?
-86
In base 13, what is -1111 + -4?
-1115
In base 3, what is 2121201 + -10?
2121121
In base 6, what is -234 - -11?
-223
In base 13, what is 5 - -27?
2c
In base 14, what is 200 + -13?
1cb
In base 10, what is 2 - -61?
63
In base 5, what is 420 - -2?
422
In base 14, what is -2d + 40?
11
In base 8, what is 247 - -125?
374
In base 14, what is -717 + b?
-70a
In base 7, what is -133 - -15?
-115
In base 11, what is 3 - -438?
440
In base 4, what is -1222123 + 1?
-1222122
In base 13, what is 218b + -4?
2187
In base 8, what is 237 - 5?
232
In base 7, what is -1 + 203?
202
In base 2, what is 100 - -11110?
100010
In base 9, what is 1 - -434?
435
In base 3, what is 20211 - -222?
21210
In base 6, what is -3 - 51112?
-51115
In base 6, what is -1043 + -3?
-1050
In base 8, what is 1025 - 35?
770
In base 14, what is 9d + -4?
99
In base 2, what is 101100110 - -1?
101100111
In base 15, what is 0 + -10?
-10
In base 6, what is 1425 + -5?
1420
In base 12, what is a6 + 2a?
114
In base 10, what is 13 - 58?
-45
In base 9, what is -4 - 8?
-13
In base 5, what is -2 - -231?
224
In base 15, what is 168 - -5?
16d
In base 7, what is -5 + -14466?
-14504
In base 5, what is 14 + -2?
12
In base 9, what is 64 - 12?
52
In base 6, what is 114 + -10?
104
In base 4, what is 113110 + 13?
113123
In base 14, what is -2 + d?
b
In base 14, what is 68 + -b?
5b
In base 8, what is 25 - -627?
654
In base 15, what is 8b0 + -1?
8ae
In base 9, what is -266 + -3?
-270
In base 10, what is -8 - 5?
-13
In base 11, what is -5 - -28?
23
In base 3, what is 110 - -2200?
10010
In base 16, what is 3 - 172?
-16f
In base 2, what is -1010001111010 - -1?
-1010001111001
In base 5, what is -21 - 300?
-321
In base 16, what is b - -c?
17
In base 15, what is -6 + -36?
-3c
In base 2, what is 1000001110 + -1?
1000001101
In base 13, what is 4c - -1?
50
In base 3, what is -122 + 1021?
122
In base 2, what is -100011000 - -100?
-100010100
In base 14, what is 6 - -54c?
554
In base 10, what is -4881 - 1?
-4882
In base 16, what is -7 - 21?
-28
In base 13, what is -36a + 1?
-369
In base 9, what is -6 - -2?
-4
In base 4, what is 1 + -1100?
-1033
In base 5, what is 312 + -1?
311
In base 9, what is 502 + 10?
512
In base 8, what is -2357 - 0?
-2357
In base 10, what is 26 + -6?
20
In base 14, what is -153 - 2?
-155
In base 16, what is 1f + 2?
21
In base 8, what is -2601 - -3?
-2576
In base 15, what is 985 + -1?
984
In base 14, what is -1 + -24?
-25
In base 12, what is -1a9 + 2?
-1a7
In base 14, what is 14 - -60?
74
In base 5, what is 103 + -4?
44
In base 13, what is 1b9c - 4?
1b98
In base 14, what is -7b1 + 3?
-7ac
In base 7, what is -2641 + -2?
-2643
In base 11, what is a9 + -4?
a5
In base 6, what is 32502 - -3?
32505
In base 16, what is 1a + 1a5?
1bf
In base 13, what is -2 + -75?
-77
In base 10, what is 7 - 5?
2
In base 6, what is -13155 + 1?
-13154
In base 4, what is -11 - 20303?
-20320
In base 8, what is -61 - -351?
270
In base 15, what is -4d + -18?
-66
In base 12, what is -30 + -1a?
-4a
In base 10, what is 3104 - 1?
3103
In base 3, what is -222 + -12?
-1011
In base 10, what is -1422 - 4?
-1426
In base 2, what is 1010011011 + 101?
1010100000
In base 9, what is 11 + -50?
-38
In base 9, what is -26 + -11 | {
"pile_set_name": "DM Mathematics"
} |
-6. Let b = -17 + 29. Let i = b - s. Is i a multiple of 3?
True
Let m be 3/(-12)*(-1 + 1). Suppose -5*s + m*q = 5*q - 175, s = -2*q + 33. Is s a multiple of 24?
False
Suppose -5*d + 57 = -3. Is d a multiple of 8?
False
Suppose d - 5*h - 39 = 2*d, -d = -h + 15. Let w = d + 54. Let v = w + -23. Does 12 divide v?
True
Let o(r) = -3*r - 16. Let j be o(-14). Suppose -4*b + 2 = -u, 2*u = b - 4*b - j. Let f(h) = -h**3 - 10*h**2 - 5*h - 2. Does 16 divide f(u)?
True
Let j(m) be the second derivative of -1/3*m**3 - 6*m - 17/2*m**2 + 0. Does 4 divide j(-13)?
False
Suppose 2*l - 3*d + 16 = d, 4*l = -3*d + 12. Suppose 9*r - 4*r = l. Suppose 78 = -r*b + 2*b. Does 16 divide b?
False
Let z(a) = -2 - 2*a**3 + 7 + 4*a**3 - 4*a - 5*a**2. Is 22 a factor of z(5)?
True
Let g(f) = f**2 - 10*f - 8. Let j(s) = 12*s**2 - s - 1. Let o be j(-1). Let v be g(o). Suppose -v = -2*r - 3*i + 17, -i - 31 = -4*r. Is r a multiple of 2?
False
Let f(h) be the third derivative of h**6/120 + 7*h**5/60 - 13*h**4/12 - h**3/6 + 21*h**2. Is 7 a factor of f(-9)?
False
Let p(l) be the first derivative of 13*l**2 + l + 3. Let n be 2*(-1)/(6/(-9)). Is p(n) a multiple of 30?
False
Suppose -6 + 21 = 3*t. Suppose -147 = -2*c - f, t*f - 11 = -2*c + 148. Is 6 a factor of c?
True
Suppose -51581 + 9256 = -25*u. Is u a multiple of 120?
False
Let t = 75 - -10. Let a = t + -1. Is 14 a factor of a?
True
Suppose 2158 = 2*s + 2*r, -4*s + 15*r - 18*r = -4317. Is s a multiple of 30?
True
Let x = -1687 - -2627. Is x a multiple of 16?
False
Let l(y) = -y**3 - 13*y**2 + 14*y + 4. Let k be l(-14). Suppose -2*h + 30 = -3*t - 102, k*t = -h + 44. Does 12 divide h?
True
Suppose 4*f - 5197 = v - 0*v, -4*f + 5*v = -5185. Does 13 divide f?
True
Let k(w) = 328*w**2. Let z be k(-1). Let f = z + -130. Suppose 8*x - 5*x + 4*o = f, -o = x - 66. Is x a multiple of 23?
False
Suppose -4*g - p + 817 = 0, -2*p = -g - 4*p + 199. Let t = 333 - g. Does 33 divide t?
False
Let h(y) = 18*y - 16. Let w be h(-9). Let q = w + 343. Is 35 a factor of q?
False
Let b = -16 + 16. Suppose -2*l + 2*v + 394 = b, 5*l + 0*v = 3*v + 987. Is l a multiple of 37?
False
Let v(a) = 4*a**2 - 5*a + 3. Let p be v(2). Let l(y) = -5*y + y**2 + 5*y + y + 5*y + p. Does 16 divide l(-7)?
True
Suppose 7*m = 2*m. Suppose 3*p - 4*r - 14 = m, 4*p - 5*r - 33 = 8*p. Is (-24)/(-16) - 63/p a multiple of 12?
False
Suppose 39*p - 31*p - 2432 = 0. Does 10 divide p?
False
Let a = 19 + 21. Does 18 divide 4/a*-6 + 676/10?
False
Let z = -83 + 83. Suppose 7*m - 170 - 194 = z. Does 4 divide m?
True
Suppose 0 = -n + 5 + 10. Let u be ((-12)/n)/((-4)/20). Suppose -y = u*y + 4*k - 56, -2*y - 4*k = -32. Is y a multiple of 8?
True
Let y(c) = c**3 - 11*c**2 - 11*c - 13. Let u be y(12). Let j = 1 - u. Suppose -3*k + 55 = j*n, 5*n + 4*k = -51 + 199. Does 16 divide n?
True
Suppose r + 15 = 9. Let w(m) = -m**3 - 9*m**2 - 3*m + 5. Let h(b) = -3*b**3 - 28*b**2 - 8*b + 16. Let l(y) = 2*h(y) - 7*w(y). Does 2 divide l(r)?
False
Let j = 27 + 23. Suppose -2*p - j = -3*s - 2*s, -4*s + 3*p = -33. Is 4 a factor of 24*(s/(-3))/(-4)?
True
Let b(i) = i**2 - 4. Let w = 0 - -3. Does 5 divide b(w)?
True
Suppose 23*f = 20*f + 558. Is 7 a factor of f?
False
Let r(h) be the second derivative of 7*h**3/2 + 2*h**2 - 5*h. Is r(4) a multiple of 23?
False
Let s = -6 - 3. Let i be s*1*3/(-9). Suppose -4*n - i*y - 182 = -587, 3*n - 320 = y. Does 19 divide n?
False
Let x(p) = p**3 + 4*p**2 - 13*p + 1. Let d be x(-6). Does 16 divide (35 - -1)/(-7*d/(-49))?
False
Let s be ((-9)/15)/((-2)/10). Let r(p) = -p**3 - 14*p**2 + 13*p - 6. Let x be r(-15). Suppose u = s + 1, u + x = d. Does 14 divide d?
True
Suppose -984 = -3*c + 2*x, -c + 2*x + 129 + 203 = 0. Is 4 a factor of c?
False
Suppose 9*v + 762 = -849. Let f = -103 - v. Is 14 a factor of f?
False
Let s be ((-3)/(-3))/(1 - 54/57). Let n(k) = k + 11. Is n(s) a multiple of 10?
True
Suppose -4*d = -5*d - 1. Let v(r) = -4*r**3 - 6*r**2 - 4*r - 3. Let z(o) = -o**3 + o. Let i(w) = d*v(w) + 5*z(w). Does 13 divide i(7)?
False
Is 28 a factor of (-50)/(3 - -7) - -211?
False
Let g(b) = 2*b**3 - 10*b**2 - 19*b + 11. Is 33 a factor of g(9)?
False
Let p(a) = 2*a**2 - 6*a + 7. Suppose 6*r = 12*r - 42. Does 9 divide p(r)?
True
Does 34 divide 21288/156 - 18/39?
True
Let o(k) = k**3 - 9*k**2 + k + 14. Let g(h) = -6*h - 1. Let r(c) = 7*c + 2. Let u(w) = -5*g(w) - 4*r(w). Let n be u(6). Is 4 a factor of o(n)?
False
Suppose 0 = 3*h - 15 - 12. Suppose h*z - 6*z = 54. Is z a multiple of 18?
True
Let s(d) = d**3 - 7*d**2 + 2*d. Let m(q) = q**3 - 7*q**2 + 3*q. Let a(i) = 3*m(i) - 4*s(i). Let v be a(7). Suppose -9*u + v*u = -64. Is 16 a factor of u?
True
Suppose -3*i - 3*g + 3 = 0, 3*i + 2*g + 3*g + 1 = 0. Suppose 53 = 2*b + 7. Suppose -b = -i*u + 4. Is 9 a factor of u?
True
Let f(s) = s**2 + 19*s - 7. Suppose 40 = t - 3*t. Is f(t) a multiple of 4?
False
Suppose 0 = -2*m + 4*m. Let z(g) = 0 + 4*g + m*g**2 + 3 + 3*g**2 - 2*g**2. Is 8 a factor of z(-5)?
True
Suppose -2*u - s + 818 + 100 = 0, 4*u = 2*s + 1820. Is u a multiple of 33?
False
Let m = -127 + 137. Is 60 a factor of (-6992)/(-95) - 6/m?
False
Let p = -347 - -768. Does 8 divide p?
False
Let l(n) = n**3 - 10*n**2 + 18*n - 1. Let t be l(8). Suppose 250 = -10*x + t*x. Does 25 divide x?
True
Suppose -1175 = -2*r + 385. Does 20 divide r?
True
Is (720/6)/(-15)*-1*149 a multiple of 91?
False
Let w be (-2)/(-2) + 5 + 63/1. Suppose -3*p = 5*g - w, 28 - 6 = 2*g + 4*p. Is g a multiple of 3?
True
Suppose 5*u = -v + 18, -2 - 1 = -3*u + 2*v. Let g = 56 - 52. Is 11 a factor of 94/8 - u/g?
True
Let y(q) = -17*q**3 + 2*q**2 + q. Let l be y(-1). Let v = 18 - l. Let k(b) = b**2 + b + 8. Is k(v) a multiple of 5?
False
Suppose 8*g - 5*g = 1743. Suppose 0 = 7*q - 0*q - g. Does 27 divide q?
False
Suppose 3*d = u - 5*u + 2102, 2*d - 1409 = 5*u. Does 27 divide d?
True
Let t = 1391 - 893. Is 24 a factor of t?
False
Let h = -295 - -530. Does 5 divide h?
True
Suppose 3*i + 64 = 205. Let z = i + -14. Is z a multiple of 11?
True
Let k = 38 - 198. Is 10 a factor of (2/4)/((-4)/k)?
True
Suppose 3*z + 70 = 5*l, -3*l - 3*z + 22 + 20 = 0. Let i = l + 8. Does 11 divide i?
True
Suppose 0 = 3*o - 2*o + 4. Is 2 a factor of (4/(((-14)/o)/7))/2?
True
Suppose -14 = -2*o - 2*j, 0*o - 5*j + 15 = o. Suppose o*b = -3*n + 3 + 7, -3*n = -3*b + 6. Suppose -b*x = -6*x + 296. Does 13 divide x?
False
Suppose 27*b = 2*b + 34475. Does 62 divide b?
False
Let c(b) = 4*b + 48. Suppose 2*r + 5*a = 36, r = -0*r - 5*a + 13. Does 9 divide c(r)?
False
Suppose 1 = -b - 2*w - 2, 2*b - 18 = 4*w. Let f(h) = -3*h + 12*h - 5 - 4*h. Does 5 divide f(b)?
True
Let o be (3 + 0 - -696) + -2. Suppose -5*y + o = -328. Is y a multiple of 41?
True
Suppose -6 - 54 = -4*g. Let b = -9 + g. Suppose 0 = 5*z - 51 + b. Is z even?
False
Let p = -32 + 278. Let a = 358 - p. Is a a multiple of 32?
False
Let z = 179 - -3321. Is z a multiple of 70?
True
Let d(l) = l**2 - l - 11. Let o be d(0). Let a(i) = 2*i**2 - 15*i - 4. Let h be a(o). Suppose 4*r + 51 = h. Is 35 a factor of r?
False
Suppose -62 = 3*k - 512. Is k a multiple of 50?
True
Let d be (26/4)/((-2)/(-56)). Let j = 121 - d. Let t = 113 + j. Is t a multiple of 13?
True
Suppose 0 = 16*l - 7*l + 36. Let x(d) = 2*d**2 + 7*d + 14. Does 3 divide x(l)?
True
Is 18/(2/(-13) - 1008/(-4186)) a multiple of 13?
False
Let t(a) = -a**2 - a + 1. Let j(b) = -18*b**2 - 15*b + 9. Let k(p) = -j(p) + 15*t(p). Is k(6) a multiple of 32?
False
Let x = 12 + -10. Suppose 3*a + 13 = x*u - 32, u - 15 = -a. Does 18 divide u?
True
Suppose -o + 10 = o + 4*g, g + 2 = 0. Suppose w - 85 = 4*y, o*y - w + 105 = 4*y. Let k = -11 - y. Is 3 a factor of k?
True
Let m(t) = -5 - 16*t - 4*t**2 - 2*t**3 + 3*t**3 + 10*t. Let l be m(6). Suppose -3*k = 2*q - 98, -3*k = -q - 0*k + l. Is q a multiple of 18?
False
Let o be 18/5 + 2/5. Suppose 0 = o*k + 4*s + 20, 0 = 5*k - s - 6 + 37. Let l = k + 13. Is l a multiple of 2?
False
Let a(h) = -h**3 + 27*h**2 - 18*h + 50. Let o be a(24). Suppose 15*t - 139 = o. Is 22 a factor of t?
False
Let n be 28/7 - (-117 + 2). Let u = -83 + n. Is u a multiple of 12?
True
Suppose -3*s = -5*u + 5040, -4*u + 3*s - 5*s = -4032. Is 36 a factor of u?
True
Let j = -65 + 96. Is j a multiple of 4?
False
Let u(h) = -h + 9. Let g be u(-12). Let x = g + -7. Let t = x + 19. Is 11 a factor | {
"pile_set_name": "DM Mathematics"
} |
Let v = -1 - -3. Let m = w - v. Sort m, -4, -1.
-4, -1, m
Let j(c) = -3*c**2 + 16*c - 7. Let k be j(5). Put -11, -4, k in decreasing order.
k, -4, -11
Let n = -41 + 43. Sort n, 1, -12 in ascending order.
-12, 1, n
Let h(d) be the third derivative of d**6/120 + d**5/6 + 3*d**4/8 + 7*d**3/6 - d**2. Let q be h(-9). Sort -1, q, -5 in decreasing order.
q, -1, -5
Let s(t) = -t**2 + 6*t + 9. Let m be s(7). Let w = 2369/65 - 183/5. Put m, 1/4, w in descending order.
m, 1/4, w
Let b be 8/6*3/2. Suppose n - 3 = -b*n. Put -5, n, 5 in decreasing order.
5, n, -5
Let r = 17.6 - 18. Let j = 0.7 + r. Sort 3, j, 4 in ascending order.
j, 3, 4
Let t be (-11 + -1)/(-3) - 8. Sort t, -1, 2 in ascending order.
t, -1, 2
Let s = -0.08 + 3.08. Sort -1/3, -4, s.
-4, -1/3, s
Let r(g) = -g - 2. Let j be r(1). Put -3/5, j, -0.04 in decreasing order.
-0.04, -3/5, j
Let a = -16 + 15. Sort a, 7, -5 in decreasing order.
7, a, -5
Let i be (8 - 13)/(1/(-1)). Suppose 4*j - s + 13 = -0*s, i*s + 23 = -2*j. Sort 1, 0, j in decreasing order.
1, 0, j
Suppose -53*r + 48*r + 245 = 0. Sort r, -4, -1.
-4, -1, r
Let t = -1.6 - 2.4. Let f be (-5 - -4)*(7 + 1). Sort 2, f, t.
f, t, 2
Let z = -36 + 37. Sort -2/5, z, -0.6 in descending order.
z, -2/5, -0.6
Let r(z) = -3*z - 19. Let b be r(-6). Put b, -7, 5 in decreasing order.
5, b, -7
Let t(x) = 2*x - 1. Let m be t(-1). Suppose -4 = 2*c + 2*c. Let b be (3/(-2))/(c/2). Sort b, -5, m.
-5, m, b
Let t be (-24)/33*(-1)/4. Let w be 1*(-1 + -2 + 0). Sort t, -3/2, w.
w, -3/2, t
Let w be (2 - 0) + 26/(-12). Let u = -0.08 - -5.08. Sort u, w, 2 in decreasing order.
u, 2, w
Let m be -2 - -2 - 1/(-2)*0. Sort 4, -2, 2, m in decreasing order.
4, 2, m, -2
Let p = 0.01 - -0.99. Let m = 1.1 - p. Let j = -6 - -1. Put j, m, 0.2 in ascending order.
j, m, 0.2
Let p = -27 + 31. Suppose p*a = 6*a + 5*r + 20, -24 = 4*a + 2*r. Sort 2, -1, a in decreasing order.
2, -1, a
Suppose 12 = 15*n - 12*n. Sort -2/5, n, 1 in descending order.
n, 1, -2/5
Let v be 4/6 + 34/(-6). Put -1, -3, v in increasing order.
v, -3, -1
Let s = -6 + 3. Let l = 2 + s. Sort -1/6, -3, l in decreasing order.
-1/6, l, -3
Let y = 30 - 91/3. Sort -2, y, -1.
-2, -1, y
Let m = -8 + 16. Let j = 4 - m. Sort j, 5, -5 in increasing order.
-5, j, 5
Let t be (-2)/(-9) - 187/153. Put 3, t, 4 in descending order.
4, 3, t
Suppose 4*m + 13 = 2*r + 11, -3*m + 3 = 3*r. Let v be 0*(-1 - -2) + 1. Let x be -1*v - (-1 - 1). Put x, -5, m in decreasing order.
x, m, -5
Let t be -2 - 25/(-15) - -1. Sort t, 5, 0.3.
0.3, t, 5
Let h = 14 + -16. Sort 1/2, -5, h.
-5, h, 1/2
Let t = 18 + -30. Let n = t - -15. Sort 5, 0, n.
0, n, 5
Suppose 0 = q - 0*q. Suppose -v = -3 + 7. Sort v, q, -1 in descending order.
q, -1, v
Let l(o) be the second derivative of o**5/20 + 3*o**4/4 - 11*o**3/6 - 3*o**2 - 2*o. Let b be l(-10). Let u(k) = -k - 2. Let h be u(-2). Sort -2, b, h.
-2, h, b
Let n = -0.04 + 0.24. Put n, -1, -6 in increasing order.
-6, -1, n
Let k be (0 + 1 + 3)*(-6)/(-24). Suppose -5*i - 4 = o, 0*i - 3*o = -4*i + 12. Sort i, -1, k.
-1, i, k
Suppose 2*m - 21 + 5 = 0. Let z = -17 + m. Let w = z + 6. Sort 1, -2, w in increasing order.
w, -2, 1
Let i(z) = z**3 - 11*z**2 + 8*z + 11. Let k be i(10). Let s = -14 - k. Put -2, 0, s in decreasing order.
0, -2, s
Let i = -4 + 4. Let k = 0 + i. Let y = k - 0.3. Put y, -0.1, 1 in ascending order.
y, -0.1, 1
Suppose -v = 2*x - 0*v - 4, 0 = -3*x + v + 11. Suppose -x = -2*u + 1. Put -1, 3, u in descending order.
3, u, -1
Let b(i) = i**2 + 8*i + 4. Let x be b(-7). Let g = 1 - 1. Sort x, g, 1.
x, g, 1
Let g(t) = -t - 3. Let z be g(-4). Let f be -10*(-2)/15*-6. Let v be 2 + 4 + f + 4. Put z, 0, v in decreasing order.
v, z, 0
Let m = -1 + 4. Let p be 2/7 - (-38)/14. Let q be ((-2)/p)/((-6)/45). Put q, m, 4 in ascending order.
m, 4, q
Let r be ((-12)/102)/(1 + -2). Let i = -2/25 - 21/50. Sort r, i, -1/6 in increasing order.
i, -1/6, r
Let s = -0.69 + 0.7. Let q = -0.39 - s. Put q, 1, -1/6 in descending order.
1, -1/6, q
Let r = -0.5 + -3.5. Put r, 5, 0 in descending order.
5, 0, r
Let v = 19.09 - 19. Let u = 1.51 + v. Let q = u - 0.6. Put -2, q, 0.1 in decreasing order.
q, 0.1, -2
Let f = -5 - -8. Let b(u) = 2*u + 1 + 2 - f*u + 7. Let a be b(7). Sort a, 5, 4 in ascending order.
a, 4, 5
Suppose -4*x + 2*g - 12 = 6*g, -5*g - 15 = x. Let b be (-3)/(-6) - (-6)/4. Let i(k) = k**2 - 1. Let l be i(b). Sort -3, l, x.
-3, x, l
Let h be (6/8)/((-1)/4). Let i be 11/(-5) + (-11)/(-55). Let n be (h/2)/(-1)*i. Put -4, n, 1 in descending order.
1, n, -4
Suppose 5*h = 25, 5*r - 13 = -5*h + 27. Suppose 0 = -r*s + 6 + 3. Sort s, 4, -5.
-5, s, 4
Let o be (-3)/(9/(-2)) - 0. Let r = 10 - 12. Put r, o, -3 in decreasing order.
o, r, -3
Let k(u) = u**2 + 5*u - 6. Let x be k(-5). Let v be (x/20)/(2/(-4)). Put 4, v, -0.5 in descending order.
4, v, -0.5
Let x(y) = -y**3 + 12*y**2 - 10*y - 10. Let a be x(11). Let j be (-130)/(-25) + a/(-5). Sort -2, 2, j in ascending order.
-2, 2, j
Let t be (-2)/(-1)*3/2. Let u = -135 - -677/5. Let g = 3.7 + -4. Sort t, g, u in increasing order.
g, u, t
Let q = 13 - 13.4. Put q, -0.3, -0.2 in descending order.
-0.2, -0.3, q
Let f = 0.11 - -0.29. Sort -1/4, 3, f in descending order.
3, f, -1/4
Let l = -3.95 + -0.05. Let z = l - -3.6. Let o = 0.4 - 0.2. Put z, -3, o in increasing order.
-3, z, o
Let x be (-62)/15 - 2/(-15). Put x, 7, -2 in ascending order.
x, -2, 7
Let n = -17 - -5. Let c = 32 + -34. Put n, c, 5 in ascending order.
n, c, 5
Let d = -4 - -1. Let q = 5.03 + -0.03. Sort 0, d, q in decreasing order.
q, 0, d
Let r be (2 - (3 - 1))/2. Sort r, 2, 3.
r, 2, 3
Suppose 3*c = 3*k + 7*c - 10, 18 = -3*k + 3*c. Let j(b) be the first derivative of b**2/2 - 7*b + 6. Let a be j(8). Sort a, k, 3.
k, a, 3
Let s = 7 + -6.9. Let i be -2 + (-11 - -2) - -2. Let w = i + 5. Put 3, w, s in decreasing order.
3, s, w
Let n = 16 - 15.99. Let g = -0.49 - n. Sort 0.3, 3/2, g in descending order.
3/2, 0.3, g
Let r(x) = -x + 1. Let i be r(-4). Suppose 3*m + 2*h = 14, 5*m - i = 4*m - h. Put -5, m, -1 in descending order.
m, -1, -5
Let f(h) = -h + 11. Let w be f(13). Put w, -0.4, -1/7, 1/6 in descending order.
1/6, -1/7, -0.4, w
Let b = -6 + 11. Sort 3/5, b, 0.5.
0.5, 3/5, b
Let x = -0.003 - -7.403. Let z = x + -7. Sort 4/3, 0.1, z.
0.1, z, 4/3
Let q = -50 + 43. Let p = -6 - -11. Put -1/5, q, p in ascending order.
q, -1/5, p
Let h = 163 + -156. Put -3, h, -6 in ascending order.
-6, -3, h
Let y = -7 - -10. Let u = y - 2.8. Suppose 7*t = 2*t + 5. Sort -0.2, t, u.
-0.2, u, t
Let v(t) = -6*t**2 - t + 1. Let w be v(1). Let p = -11 - w. Let s(u) = -u**2 + 5*u - 3. Let k be s(2). Sort k, 1, p in increasing order.
p, 1, k
Let o = 22 - 43/2. Sort o, -1/7, -3, -2 in increasing order.
-3, -2, -1/7, o
Suppose 3*z - 2*d + 2 = 0, -z + 6 = -4*d - 0*d. Put z, 0, 4 in decreasing order.
4, 0, z
Let i = 0.43 + -0.93. Sort -5, i, 0.4 in decreasing order.
0.4, i, -5
Suppose -2*b + 2 + 6 = 0. Let m = -93 + 92. Sort 0, b, m in decreasing order.
b, 0, m
Let s = -3 + 6. Suppose -5*t = -s - 12. Let u be 4*t/30*-5. Put u, 5, 2 in ascending order.
u, 2, 5
Suppose -8*h + 15 = -3*h. Let c(j) = 2*j + 3. Let z be c(0). Suppose -x - 4 = -4*x - o, -20 = z*x - 5*o. Sort x, h, -4 in descending order.
h, x, -4
Let g be 1/(2/(-24)*-3). Put 5, -5, g in decreasing order.
5, g, -5
Let o = -13 - -13. Put 5, o, -1 in decreasing order.
5, o, -1
Let q be ((-3)/(-9))/(1/15). Suppose -12*v - 2*l - 4 = -16*v, -v - l = -1. Sort v, -3, q in increasing order.
-3, v, q
Let z = -5 + 8. Let g(h) = h**3 - 3*h**2 + h + 4. Let t be g(2). Sort -1, t, z in decreasing order.
z, t, -1
Suppose 0 = -5*y + y - 4*z, -4*y - 5*z - 2 = 0. Suppose 0 = f - y*f - 1. Put 2/3, -4, f in decreasing order.
2/3, f, -4
Let u(g) = 4*g - 3. Let z be u(2). Suppose -3*h + 2*c = 2*h - 31, -c = -z*h + 28. Suppose h = 5*o - 5. Sort o, -4, -3 in descending order.
o, -3, -4
Let k be 0*2/(0 + 2). Let v(o) = -o**3 - 28*o**2 - o - 33. Let x be v(-28). Sort k, -2, x.
x, -2, k
Let i(j) = -j**2 - 7*j + 1. Let k be i(-6). Suppose 3 = 2*u + k. Put 5, u, 0 in increasing order.
u, 0, 5
Let y be 15/10 + 38/(-28). Sort y, 0, -5.
-5, 0, y
Let r = -13.1 - -23.4. Let o = -11 + r. Let u = o + 0.7. Sort u, -5, -3 in increasing order.
-5, -3, u
Let r = -1 - 3. Let g(o) = -o**2 - 5*o + 1. Let z be g(r). Let h be (-1 | {
"pile_set_name": "DM Mathematics"
} |
1. Let g be m(0). Let h = g - z. What is the units digit of h?
6
Let y = -3 - 1. Let u(w) = -w**3 + 5*w**2 - w**2 + 2*w**3 - 3*w - 3. What is the units digit of u(y)?
9
Suppose q + 4 = 0, 4*q = -3*b - 0*q + 53. Suppose -54 = -3*g - 3*l, -g + 3 + b = 3*l. Let i = -8 + g. What is the units digit of i?
6
Let o = 6 + -8. Suppose 0 = 5*s - 0*q - 4*q - 50, 26 = s - 4*q. What is the units digit of o/s*(-1 - 8)?
3
Suppose 4*m + 3*l + 19 = 0, -5*m - 18 = -2*l - 0*l. Let u = 1 - m. What is the units digit of u?
5
Let y be ((-15)/(-12) + -2)*-4. Suppose y*f - 22 = -5*n, f - 4*n = 3*f - 16. Suppose 5*t - 31 = f. What is the units digit of t?
7
What is the units digit of 5/((12/(-8))/(9/(-6)))?
5
Let v = 11 - 15. Let h = v + 8. Suppose 3*j - 5 = h*a - 2*a, 4*a = j + 15. What is the units digit of a?
5
Suppose -5*t - 48 = -5*c - 3, 5*c = 5. Let l = 10 + t. Let k(x) = 2*x**3 - 2*x**2 - 2*x + 1. What is the units digit of k(l)?
5
Suppose 5*d + 3*c = 2, 5*d - 3 = -4*c + 3. What is the units digit of -3*(d/3 + -2)?
8
Let s(p) = p. What is the units digit of s(5)?
5
Suppose -1 = -4*x + 19. Suppose -4*b + 2*k + 8 = -0*k, x*k + 12 = 2*b. What is the units digit of b?
1
Suppose 0 = -4*j + 116 + 324. What is the units digit of j?
0
Suppose q - 6*q = -2*l + 107, 2*l = 3*q + 117. What is the units digit of l?
6
Suppose v + 2 = -3*p, -2*p + 4 = v - 5*p. Suppose -2*y + y + 7 = 0. Let r = y - v. What is the units digit of r?
6
Let s(a) = a + 1. Let w(d) = 8*d + 7. Let l(n) = -6*s(n) + w(n). Let p be l(1). Suppose p*c = 1 + 2. What is the units digit of c?
1
Let n(k) = 29*k**3 - k. What is the units digit of n(1)?
8
Let t(i) = 51*i**2 + i - 2. What is the units digit of t(1)?
0
Let w(x) = -x. Let h be w(-7). Suppose 2*j + 146 = h*j - k, -k = 5*j - 144. Suppose -3*a = -10 - j. What is the units digit of a?
3
Let k(h) = 2*h + 1. Let p be k(-4). Suppose -z + 22 = -3*z. Let m = p - z. What is the units digit of m?
4
Suppose -5 = -5*g - 0. Let d = 3 - g. Let c = 5 - d. What is the units digit of c?
3
Suppose 3*b - 5*i + 29 = 0, 2*b - 4*i + 5 + 17 = 0. Let p be 6*(b/6 - -1). Suppose -1 + 2 = p*s - m, 2*s + 11 = 3*m. What is the units digit of s?
2
Let r be 0 - 0 - (-87)/3. Suppose -k = -0*w + w - 22, -k = -2*w + r. What is the units digit of w?
7
Let a(b) = -2*b**3 + b**2 + b. Let i be 2/(2 + -1 - 3). What is the units digit of a(i)?
2
Suppose 2*f - 137 = -4*x + 7, 4*x - 4*f = 168. What is the tens digit of x?
3
Let c(t) be the third derivative of t**4/24 - t**2. Let q(b) = 5*b + 2. Let m(w) = 6*c(w) - q(w). What is the units digit of m(8)?
6
Suppose 7*z - 9 = 4*z. Suppose -16 = -5*r + 2*c, -c = -3*r - 6*c - 9. What is the units digit of 7 - (-3*r + z)?
0
Let g = -9 + 0. What is the tens digit of 2/(-9) - 119/g?
1
Suppose -c + 59 = -55. What is the units digit of c?
4
What is the units digit of (-2)/18 + (-26800)/(-225)?
9
Let i = -40 - -111. What is the units digit of i?
1
Suppose -2*d = -87 - 43. Suppose u + 4*w = 40, -2*u - 2*w - 3 = -d. What is the tens digit of u?
2
Suppose 200 = 66*u - 61*u. What is the units digit of u?
0
What is the units digit of (-6)/36 + (-595)/(-6)?
9
Let l(j) = -6*j + 1 + 3 - 3. What is the tens digit of l(-3)?
1
Let t = 56 + -7. Let r = t - 4. What is the tens digit of r?
4
Let j = -12 - 3. Let l = 24 + j. What is the units digit of l?
9
Suppose g + 154 = -g. Let f = -48 - g. What is the tens digit of f?
2
Let w(s) = 2*s + 3. Let d be ((-8)/(-10))/(5/25). Let x be w(d). Let b = 19 - x. What is the units digit of b?
8
Suppose 0*k = k + 4*q - 26, 2*q = -3*k + 28. Suppose 0 = k*p - 2*p + 28. Let u = p + 10. What is the units digit of u?
3
Let p be -15 + -1 + 2 - -2. What is the units digit of (-12)/(-5) + p/(-20)?
3
Let j(h) = -2*h**3 + 2*h**2 - 1. Let y(g) = -2*g**2 - g. Let u be y(-1). Let v be j(u). Suppose 5*n + 5 = 25, 0 = -2*w + v*n - 2. What is the units digit of w?
5
Let t(d) be the first derivative of -d**5/20 - 5*d**4/12 + 2*d**2 + 2*d + 2. Let o(r) be the first derivative of t(r). What is the units digit of o(-5)?
4
Let j be -2 + 0 + 2 + 2. What is the units digit of 22*((-1)/j + 1)?
1
Let m be 9 + -2 + 2 + 3. Suppose -11 = -3*u + 4. Suppose -v + m = 2*s, -u*s + s = -3*v - 4. What is the units digit of s?
4
Let c = 2 - 2. Let v(s) = -s**2 + 7*s - 2. Let k be v(7). Let o = c - k. What is the units digit of o?
2
Suppose -5*b + 5*n - 2*n = -19, 0 = -3*b - 3*n - 3. Suppose 3*k + 2*q = 71, -b*k + 76 = q + 30. What is the tens digit of k?
2
Let z(b) = b**3 - 7*b**2 + 3*b + 9. What is the tens digit of z(7)?
3
Let t = 36 - 26. What is the tens digit of ((-1)/(-1))/(t/250)?
2
Let a(f) = f**2 + 8*f + 6. Let v be a(-7). What is the tens digit of -2 + -1 + v + 16?
1
What is the units digit of -2*(-4 + 295/(-10))?
7
Suppose -4*y - 4 = -3*x, 2*x = -4*y + 2*y + 12. Let v = 1 + y. What is the units digit of v?
3
Suppose -11*p = -6*p - 270. What is the tens digit of p?
5
Let o be (-1)/2 - 267/6. What is the tens digit of (13/3)/((-5)/o)?
3
Suppose i + 61 = y + 2*i, y = 3*i + 65. What is the units digit of y?
2
Let l = -106 + 164. What is the units digit of l?
8
Let s(w) be the first derivative of 33*w**2/2 + w + 2. Let p be s(1). Suppose -5*j - 10 = 0, -7*a - 5*j = -3*a - p. What is the units digit of a?
1
Suppose -3*f = 5 - 23. What is the units digit of f?
6
Let q(c) = -13*c - 15. Let j(u) = 13*u + 13. Let y(b) = -25*b - 25. Let h(p) = 11*j(p) + 6*y(p). Let x(o) = -7*h(o) + 4*q(o). What is the tens digit of x(-9)?
1
Suppose -8*z + 0 = -448. What is the tens digit of z?
5
Suppose q - s = s + 15, -q - 2*s = -11. What is the tens digit of q?
1
Let d = 274 - 191. What is the units digit of d?
3
Let m = 54 - 24. Let p(n) = 6*n**2 + 3*n + 3. Let d be p(-2). Suppose 3*x + a = d, 3*x + 2*a - m = -x. What is the units digit of x?
6
What is the tens digit of 31*2 + (0 - (-4 - -7))?
5
Suppose -3*v - 2*a = 2*v - 3, 0 = -2*v - 5*a - 3. Let s(z) = 14*z**2 + 2*z - 1. What is the units digit of s(v)?
5
Let l(p) = p**2 - 6*p - 3. Let r be l(7). What is the units digit of (40/(-12))/(r/(-6))?
5
Suppose 0*a + b = -a + 8, -1 = a - 2*b. Suppose 4*q - 65 = 3*w, -4*q = a*w - 0*w - 105. Let z = 29 - q. What is the units digit of z?
9
Let k(g) = g - 13. Let o be k(-11). Let b be 16/1 + 1 + -2. What is the units digit of (-6)/10 - o/b?
1
Suppose -5*k - 175 = -10*k. What is the units digit of k?
5
Let x = 3 - -1. What is the units digit of (-18)/x*10/(-3)?
5
Let u be 6/4*(-80)/(-12). Let b = 37 - u. Let h = b - 19. What is the units digit of h?
8
Let g = 9 - 17. Let s be (-378)/36*(1 - (-14)/(-6)). Let n = s + g. What is the units digit of n?
6
Suppose 3*n + 4*v = 33 + 125, n - 51 = -v. Suppose 3*o = -0*y + y - n, 5*y - 230 = 3*o. What is the tens digit of y?
4
Let z be (-30)/(-9)*(-54)/(-15). Suppose 3 + z = 5*o. What is the units digit of o?
3
Let o = -23 - -24. What is the units digit of 40*o - (1 + -3)?
2
Let g = -3 - -5. Suppose -z = -g*z. Suppose z = 2*d + 3*d - 80. What is the units digit of d?
6
Let f(a) = -2*a. Let p be 2/((-4)/(-3) + -2). Let v be 2*p/(-3) + -4. What is the units digit of f(v)?
4
Let z be 2/3 - 1372/(-12). Suppose 6*m - m = z. What is the tens digit of m?
2
Let v(a) = -2*a**3 + 2*a**2 - 1. Let w be v(-1). Suppose w*z = 5*z - 4. Suppose 3*l = h + z*h + 33, -l - h = -3. What is the units digit of l?
7
Let c(v) = -5*v - 4. Let m(p) = -2*p - 1. Let z(o) = 2*c(o) - 7*m(o). Let j be 1*4 - 12/4. What is the units digit of z(j)?
3
Let r be 1/(22/(-10) - -2). Let j = r + 5. Suppose -5*s + j*s = -15. What is the units digit of s?
3
Let o be -2 - (-3 - -2) - 4. Let w be -1 - (0/(-3) + o). Suppose -2 - w = -s. What is the units digit of s?
6
Let r = 2 - 1. Let u(o) = o + 13. Let d be u(-11). What is the units digit of 3*3*(d - r)?
9
What is the units digit of 1 + -1 - (-7 + 0)?
7
Suppose -77 - 367 = -6*h. What is the tens digit of h?
7
What is the units digit of 2/4*-6 + 56?
3
Suppose 5*b + 4*g + 26 = 0, 8*b + 28 = 3*b - 2*g. Let j(l) = -4*l - 1. What is the units digit of j(b)?
3
Let i(j) = -j**2 - 8*j + 12. Let h be i(-9). Suppose -41 = -s - 2*x, 81 + 96 = 5*s + h*x. What is the units digit of s?
3
Let d(b) = -b**3 - 2*b**2 - 3. Let s be d(-3). What is the units digit of 6/2 + 18/s?
6
Let s = 21 - 18. Suppose 4*q - 103 = 3*b, 5 = -4*b + s*b. What is the unit | {
"pile_set_name": "DM Mathematics"
} |
3*m - 7. Let c = -1 + i. Solve c = -k*f - 4, -f - f - 2 = 2*l for l.
0
Suppose 8*i + 10*i - 90 = 0. Solve -i*k - 35 = -j + 4*j, j + 5 = 0 for k.
-4
Let w be ((-4)/(0 + 8))/(2/(-8)). Solve 5*z = -2*y + 22, -w*z + 2*y + y + 5 = 0 for z.
4
Let d be (-2)/(-10) + (-1 - 8/(-10)). Suppose 0 = 4*m + 20, -3*m - 9 = 2*p - d. Solve 4*h = 5*b + 27, -b + 5*h - p = 15 for b.
-3
Suppose 12*o = -8*o + 80. Solve 4*i - o = 2*i, 2*u - 4*i = 0 for u.
4
Suppose -3*m + 3*x - 23 = -7*m, -2*m - 5*x = -29. Suppose 5*q - 5*g = -0*g + 10, 0 = 4*q - m*g - 12. Solve -6*i = -5*i + 2*d + 11, q*d + 7 = i for i.
-5
Suppose 0 = -3*s - 88 + 184. Suppose -5*r - 15 = -4*f, -3*r - f = -4*f + 12. Let j = 2 + r. Solve -x - 5*h - 7 = 17, -s = j*x + 5*h for x.
-4
Let n = -9 - -7. Let u be -3 + (1 - (-20 - n)). Suppose 0*s + 4*s = 0. Solve -3*z + 5*p - u + s = 0, 5*z = 3*p for z.
3
Let l be (270/(-25) + 12)/((-6)/(-15)). Let r = 8 - 5. Suppose 1 + 14 = r*q. Solve -q*i + 19 = -3*b, l*i + 3 = -3*b - 0 for b.
-3
Let n be 78/(-65)*(-30)/4 - 7. Solve n*o = 3*y - 7, -5*y + 6*o + 1 = 8*o for y.
1
Let i = -50 - -53. Solve 3*s - 4*x - 16 = 0, -i*s - 5*x - 20 = 2*s for s.
0
Let d be (1 - -2) + (-1 - -2). Suppose 0 = d*l - 7*l. Suppose -33*z + 26*z = -112. Solve -3*r - 17 = a, 0 = 4*r - 2*a - l*a + z for r.
-5
Suppose 4*d + d - 3*g = 252, 4*d - 4*g = 208. Suppose 4*f + d = -0. Let j(q) = -2*q - 21. Let p be j(f). Solve -22 = 5*x + 3*i + p, -x + 2*i = -8 for x.
-2
Let y(g) = -g**3 + 3*g**2 + 12*g - 2. Let k(x) = -x**3 + 17*x**2 - 16*x + 5. Let l be k(16). Let a be y(l). Solve 0 = 2*b - 3*d + a, -4*b - 4*d = -2*d for b.
-1
Let l(r) = 2*r - 5. Let w be l(3). Solve 7 = 3*z + 4*b, 3*z - 2*b + 0*b = w for z.
1
Suppose -6 = -r - n, -2*n = 3*r - 4*n + 2. Solve 5*s = -0*l - l + 16, -5*s - r*l + 17 = 0 for s.
3
Suppose -5*u = -w + 6 - 18, 0 = 4*u - 12. Solve 0 = 2*g + l - 7, -w*l + 15 = -0*l for g.
1
Let l(x) = -x**3 - 17*x**2 - 2*x - 20. Let h be l(-17). Suppose h = -r + 16. Solve 4*j = -r*o - 20, -3*j + 9 = o + 22 for o.
-4
Suppose 7*k - 8 = 20. Solve -36 = -k*v + 5*o, o - 3*o = 5*v - 12 for v.
4
Suppose -11 = -3*z - 7*a + 12*a, 5*a = -2*z - 1. Solve -3*t = 3*y + 12, 3*t + 4 = -z*y - 7 for t.
-3
Let c be -7 - (-3 + -1) - -5. Suppose 4*g = -c + 14. Solve -2*i + g = 2*v - v, 2*v - 5*i - 15 = 0 for v.
5
Suppose -2*j = 10, 12*m - 15*m + 2*j = -31. Solve 11 = 5*u - 4*h, 4*u - m = 5*h + 9 for u.
-1
Let j(m) be the second derivative of m**3/2 - m**2 + 6*m. Let b be j(-4). Let q be 1 + 1 - (12 + b). Solve -q*g - 6 = 5*p - 16, -2*g + 10 = 5*p for p.
2
Suppose -5 = 2*g + s, -5*g - 2 - 6 = -2*s. Let z be (3 + -2)*(g - -2). Let c(y) = -y - 5. Let v be c(-7). Solve v*m = 3*f + 13, 0 = -5*m - z*m + f for m.
-1
Let y(x) = x + 9. Let z be y(-5). Let k(m) = m**2 - 9*m - 2. Let d be k(10). Let v be 14/6 - d/24. Solve -h - z*h = s - 15, -4*h = -2*s + v for h.
2
Suppose 0 = -5*x - 7*x + 96. Let k(g) = -14*g - 2. Let v be k(-3). Suppose -x*r + v = -3*r. Solve -5*o - r = -2*c, 8 = c + c - o for c.
4
Suppose -4*o = -4*m + 20, 2*o - m - 8 = -13. Solve o = z, -z + 1 = -2*r - 9 for r.
-5
Let r(p) = -p**3 - 15*p**2 + 7*p + 110. Let g be r(-15). Solve -3*w + 13 = -2*i, -3*w = -g*i - 4*w - 7 for i.
-2
Let y(x) = -15*x**2 - 3*x - 1. Let d be y(-1). Let h be (d/((-273)/36))/(4/14). Solve -24 = -3*i + 3*w, -w - w = h for i.
5
Let n = 4 + -4. Let k = 4 + n. Solve -w = -3*d + 11, 0 = k*w + 3*d + 2*d + 10 for w.
-5
Suppose -4 = 3*p - p. Let t be (-6)/(-12) - p/(-4). Let x be 2*(3 - 2) - t. Solve -3*y + x*d + 6 = -d, -4*d = -y + 8 for y.
0
Let u(j) = 3*j**2 - 8*j + 3. Let o be u(7). Let d = o - 62. Let r = d + -29. Solve 20 = 5*f + r*w - 12, -4*w = -16 for f.
4
Suppose -4*z = -5*z. Solve -5*a + 5 = -5*m, -3*a - m + 0 - 1 = z for a.
0
Suppose 265 = 6*t + 247. Solve 2*q + 2 - t = -f, 0 = 5*q - f + 1 for q.
0
Let d = 3 + 9. Suppose -2*i + d*i - 30 = 0. Solve i*x - x = 3*b + 7, -4*x = 4*b + 36 for b.
-5
Let x = 55 - 52. Suppose 0 = -4*c - 5*y, 3*c + 4*y = -0 - 1. Solve b = 3*f + c + 10, 4*f = -x*b - 7 for f.
-4
Let w = -40 + 39. Let p(s) = 26*s**2 - 5*s - 3. Let b be p(w). Solve b = -4*r + 4*c, r - 2*c - 4 = -15 for r.
-3
Suppose 3*b + 8*b = 22. Solve -4*q + w - 9 = 0, 26 = q - b*q + 5*w for q.
-1
Let p = -332 - -338. Solve 12 = -p*c + 5*c + 3*y, 6 = 3*c + 5*y for c.
-3
Let f(w) = 8*w**2. Let g be f(1). Let n be 20/g + (-2)/(-4). Solve 3*k + 2*s + 18 = 0, 5*s + 5 = n*k + 2 for k.
-4
Suppose 0 = 11*n - 85*n. Solve 5*y - f - 2*f + 4 = n, -4*y = -2*f + 2 for y.
1
Suppose -27*b + 9 = 9. Solve 2*c + 0*o + 11 = 5*o, 2*c - 4*o + 8 = b for c.
2
Suppose -r - 4*r = -55. Let i = -34 + 35. Suppose b - i = r. Solve 3*w + 5 = 5*c, -4*c + b = -c for w.
5
Let s(b) = -2*b - 1. Let v be s(1). Suppose 0*t = -12*t - 36. Let p be (-21 - v)/t - 4. Solve -p*i = 6, -x - 2*x + i = -12 for x.
3
Suppose r = 5*r - 4*s + 12, 5 = -5*r + 3*s. Solve g = r*i + 2, 2*i + g = -3*g - 2 for i.
-1
Suppose 9 = 16*k - 7. Solve 0*y - 5*m = 4*y + 32, m + k = y for y.
-3
Suppose -8*p - 9*p = 0. Solve -v + 3*v = -5*i - 9, p = v - 3*i - 12 for v.
3
Let g(d) = d**2 - 5*d + 10. Let c be g(2). Solve 5*f + 3*m + 6 = -0*m, 0 = 3*f - c*m + 21 for f.
-3
Let c(u) = u**3 - 10*u**2 + 10*u - 7. Let j be c(9). Solve 1 = -j*m + 3*n, -n - 12 - 1 = -4*m for m.
4
Suppose 7*t + 4*t = 0. Solve 0 = 4*n - t - 4, 3*n = -v for v.
-3
Let z(p) = 10*p - 40. Let l be z(4). Solve l = 4*i - i + 12, 4*v - 3*i - 32 = 0 for v.
5
Let v(a) = -4*a - 28. Let o be v(-7). Suppose 2*f - 4 - 2 = o. Solve 3*w + 3 = y, -3*w + 3 = f*y + 6 for y.
0
Let z(i) = -12*i + 137. Let m be z(10). Solve 3*l + 2*l + 27 = -j, -5*l - m = -4*j for l.
-5
Let p = -19 - -22. Suppose 5*r = p + 7. Solve -5*h - r*m = 19, -3*h = -3*m + 5 + 19 for h.
-5
Suppose -4 = 3*d - 22. Let p = 10 - d. Suppose -p*x - x = -10. Solve -x*g - 6 = -j - 2, 5*j = 3*g - 1 for g.
-3
Let w(d) = 6*d**2 + 2*d + 1. Let p be w(-1). Let k(t) = -t - 1. Let i be k(p). Let l be i*(-2 + 12/8). Solve -l*u = u - 2*m - 30, -5*m = 25 for u.
5
Let d be (-120)/(-2) - ((5 - 7) + 5). Suppose 5*f = 8*f - d. Solve 2*x + 3*v + f = -2*x, 0 = 4*v + 4 for x.
-4
Suppose -6*w + 7*w = 4. Let y = 39 - 38. Let b be (-2)/(-1) - (-1 - y). Solve -g - 14 = -3*j, 3*g = -j + b + w for j.
5
Let a = 1830 + -1820. Solve -4 = 4*z - 2*u, 4*u = 3*z + 6*u + a for z.
-2
Suppose -24 = -2*y - 2*a, -3*y + 3*a = y - 20. Let m = 7 - 8. Let b be -6*(1/(-2) + m). Solve q + y = 2*d, 2 = -q + 3*d - b for q.
-2
Let y be ((-44)/10 + 5)*5. Solve y*w + w = 4*x, x + 8 = 5*w for w.
2
Let r = 271 - 268. Solve 0 = -o + 4*c + 1, -o + r = -4*c + 2*c for o.
5
Suppose -2*m = 4*h - 90, -h + 5*h + m = 89. Solve b + h = 11*z - 15*z, 4*z - b = -18 for z.
-5
Let w(f) = -31*f + 97. Let t be w(3). Solve 4*i + t*c + 24 = 2*c, 0 = -i - 5*c - 24 for i.
-4
Let f be 8 - (6 - (8 - 5)). Solve -x - 13 = m - 4*m, f*m = 15 for x.
-4
Let f(a) = 43*a**2 - 5*a + 3. Let m be f(1). Let v = m + -36. Suppose -i = -6 - 1. Solve -5*b + 19 = 2*j, b + 0*b + i = v*j for j.
2
Let q(x) = -x + 11. Let a(p) = 6*p + 5. Let v be a(-2). Let u be 18*(v/(-2) - 3). Let i be q(u). Solve 1 = 5*y + g, 0*y - i = y - 2*g for y.
0
Let m(b) = -51*b - 1. Let r be m(-1). Let x = 22 - r. Let o = -22 - x. Solve -5*s = -f + o - 1, -3*f - 23 = 4*s for s.
-2
Let v be -6 - -8 - (0 - -3). Let s be 1*(v + -1 + 4). Solve -3*x + 2*x + 15 = -5*d, s*d = -5*x - 33 for x.
-5
Let v be (-247)/4 - (-12)/(-48). Let g = -57 - v. Solve -8 = -2*k + 2*p, -28 = 4*k - k + g*p for k.
-1
Let k(z) = -14 + 43 - 10 + 2*z - 9. Let r be k(-5). Solve -3*p = r, 0*i + 3*p = -3*i for i.
0
Suppose -a - 117 = -119. Solve 0 = -4*w + 3*d, 0*d = -a*d + 8 for w.
3
Suppose 9*c - 5*g = 14*c - 130, 134 = 5*c + g. Suppose -c*i = -23*i - 40. Solve 0 = 3*h + k + 15, k + i = -2*h + 3*k for h.
-5
Suppose 3*d - 16 = h - 2*d, 4*d - 16 = 0. Solve 2 = -h*q + 3*b - 6, 3*q + 2*b = -6 for q.
-2
Suppose y + 6 = 4*m, -93 = -m - 91. Solve -k - 2 = 4*c, y*k - 1 = c - 5 for c.
0
Suppose 5*k - 7 - 3 = 0. Suppose 3*o - 14 + 3 = a, -o + 5 = a. Solve o*g = 2*g - 4*v - 4, -3*g + 2 = k*v for g.
2
Let j(a) = 18*a + 1. Let m be j(1). Let r be (4 - 7) + (1 + m)/2. Suppose 3*z - 4*z - 13 = 5*f, f + 13 = 5*z. Solve 2*k = 2*n - 2, 17 = -r*k + z*k + n for k.
-4
Let h = -81 + 85. Solve 0*r + r - h*d + 6 = 0, d - 10 = -4*r for r.
2
Let z = -14 - -14. | {
"pile_set_name": "DM Mathematics"
} |
2. What is -5*j(v) - 3*r(v)?
-2*v**2 + 2*v
Let p(i) = 3*i + 8. Let l(n) = n + 3. Calculate -8*l(o) + 3*p(o).
o
Let z(t) = -7*t**3 + t**2 - 4*t - 1. Let b(m) be the first derivative of -2*m**4 + m**3/3 - 5*m**2/2 - m + 12. Determine 4*b(u) - 5*z(u).
3*u**3 - u**2 + 1
Let v(h) = -h**2 + h - 1. Let n = -8 - -3. Suppose 10*f - 1 = 9. Let a(o) = -o**3 - 3*o**2 + 4*o - 5. Determine f*a(i) + n*v(i).
-i**3 + 2*i**2 - i
Let p(o) = -9*o - 5. Let k(l) = 4*l + 4. Let t(s) = 3*s + 3. Let w(g) = -2*k(g) + 3*t(g). Give -p(h) - 5*w(h).
4*h
Let d(x) = -x + 1. Let j(g) = -2*g + 3. Calculate -3*d(q) + j(q).
q
Suppose 0*u = u + 5*z + 2, -2*z = u - 1. Let g(y) = 0 - 5 + 7 - 3*y + 0. Let t(x) = -4*x + 3. What is u*g(q) - 2*t(q)?
-q
Let m(y) = 1. Let p(z) = -2*z - 8. Let f(k) = 10*k + 33. Let a(s) = -2*f(s) - 9*p(s). Determine -a(d) + 8*m(d).
2*d + 2
Let n(j) = -j**3 - 21*j**2 + 47*j + 25. Let y be n(-23). Let v(f) = -10*f - 5. Let p(t) = -2*t - 1. Determine y*v(s) - 11*p(s).
2*s + 1
Let k(p) = -5*p**2 + 2*p + 2. Let j(u) = -2*u**2 + u + 1. Let c = 41 + -48. Calculate c*j(f) + 3*k(f).
-f**2 - f - 1
Let a(g) = g**2 + 3*g + 3. Let z(s) be the third derivative of s**5/30 + 7*s**4/24 + 7*s**3/6 + 2*s**2 + s. Let x be (3/4)/((-1)/4). Determine x*z(p) + 7*a(p).
p**2
Let j(h) = -h**3 + 5*h**2 - 5*h + 6. Let m be j(4). Let t(l) = 1 + 0*l - m*l**2 + 0*l. Let d(i) = 1 - 8*i**2 + 3 + 4*i - 4*i. What is -2*d(v) + 9*t(v)?
-2*v**2 + 1
Let m(k) be the first derivative of 2 - 1/2*k**2 + 0*k. Let o be (2 - -2)*(-1)/(-4). Let p(n) = -n**2 + 6*n + 1. Calculate o*p(d) + 6*m(d).
-d**2 + 1
Let m(t) = 5*t**2 + 2*t + 3. Let a(f) = f**3 - 4*f**2 + 2. Let q be a(4). Let o(r) = 1 + r**q - r + 2*r + 0*r. What is m(s) - 3*o(s)?
2*s**2 - s
Let o(l) = 7*l**2 - 4*l - 4. Let z(k) = -6*k**2 + 3*k + 3. Calculate -3*o(h) - 4*z(h).
3*h**2
Let b(u) = u**2 - 4*u - 3. Let k be 8/4 - (-3 + -16). Suppose 3*y - 3*t + 17 = 2*t, 4*y = 5*t - k. Let r(g) = -3*g**2 + 11*g + 8. Determine y*r(v) - 11*b(v).
v**2 + 1
Let u(g) = 3*g**2 - g. Let w(a) = -4*a**2 + a. What is -5*u(c) - 4*w(c)?
c**2 + c
Let q(l) be the second derivative of l**2 + l + 1/12*l**4 + 1/2*l**3 + 0. Let y(z) = 5*z**2 + 16*z + 11. What is -11*q(d) + 2*y(d)?
-d**2 - d
Let g(s) = 19*s**3 + 7*s**2 - 11*s. Let u(c) = 10*c**3 + 4*c**2 - 6*c. Determine 4*g(x) - 7*u(x).
6*x**3 - 2*x
Let d = -3 + -2. Let a(g) = -2*g - 6. Let m be (-4)/40 - (-61)/10. Let q(b) = -2*b - 5. What is d*a(i) + m*q(i)?
-2*i
Let v(f) = f**2 - 4. Suppose -4*c - 5*z + 2 = -3*z, -15 = -3*z. Let k(x) be the third derivative of -x**5/12 + 17*x**3/6 + 6*x**2. What is c*k(m) - 9*v(m)?
m**2 + 2
Let l(g) be the second derivative of -3*g**5/20 + 5*g**3/6 - 29*g. Let f(o) = -4*o**3 + 8*o. What is -5*f(u) + 8*l(u)?
-4*u**3
Let p(q) = 56*q**3 + 5*q**2 - 5*q - 3. Let d(j) = j**3 + j**2 - j - 1. Determine 5*d(h) - p(h).
-51*h**3 - 2
Let x(s) = 14*s + 1. Let r(z) = -1. Calculate 4*r(a) + x(a).
14*a - 3
Let a(n) be the third derivative of -n**4/6 - 5*n**3/6 + 4*n**2. Let j(z) = 5*z + 6. Calculate 6*a(k) + 5*j(k).
k
Let j(c) = 21*c**3 + 10*c + 21. Let n(l) be the first derivative of -l**4 - l**2 - 4*l - 13. What is 2*j(s) + 11*n(s)?
-2*s**3 - 2*s - 2
Let y(v) be the first derivative of 4*v**2 - 10*v - 4. Let u(h) = h - 1. Let c = 7 - 8. Let a be -3 + (c + 8)/(-1). Give a*u(r) + y(r).
-2*r
Let j = -169 + 168. Let z(t) = t + t**2 + 2*t**3 + t - 5 + 2*t**2. Let k(i) = -i**3 - i**2 - i + 1. Determine j*z(d) - 3*k(d).
d**3 + d + 2
Let y(u) = -5*u**3 - u**2 + 2. Let k(l) = -9*l**3 - 3*l**2 + 5. Calculate -2*k(n) + 5*y(n).
-7*n**3 + n**2
Let s(k) = -157*k - 13. Let q(p) = 39*p + 3. Give -9*q(z) - 2*s(z).
-37*z - 1
Let v(i) = -19*i**3 - 4*i**2 - 4*i - 2. Let k(c) = -c**3 - c**2 - c - 1. Determine 3*k(z) - v(z).
16*z**3 + z**2 + z - 1
Let q(s) = 3*s**2 + 2*s. Let b(l) = 5*l**2 + 4*l. Let u(k) = 4*b(k) - 7*q(k). Let w(t) = -2*t**2 + 5*t. Give 5*u(x) - 2*w(x).
-x**2
Let a = -2 - -5. Let w(s) be the first derivative of a*s + 0*s + s**2 + 2*s - 1. Let x(f) = 2*f + 4. Give -3*w(v) + 4*x(v).
2*v + 1
Let v(z) = -2*z**3 + z**2 - 3*z - 1. Let n(c) = c**3 - c**2 + 2*c + 1. What is -3*n(s) - 2*v(s)?
s**3 + s**2 - 1
Let l(w) = -40*w**2 - 16*w + 16. Let k(g) = -8*g**2 - 3*g + 3. Give 16*k(n) - 3*l(n).
-8*n**2
Let o(b) = -b**3 + 5*b**2 - 5*b + 5. Let p(x) = 4*x. Let y be p(1). Suppose -2*i - y*t = i + 23, i - 4*t - 3 = 0. Let h(d) = d**2 - d + 1. Give i*h(s) + o(s).
-s**3
Let k(f) = 9*f + 2. Let a(q) = 18*q + 4. Determine -2*a(t) + 5*k(t).
9*t + 2
Let i(w) = -15*w - 18. Let b = 5 + 13. Let r(a) = a + 1. Determine b*r(n) + i(n).
3*n
Let y(u) = -3*u + 4. Let c = 8 - 6. Let s(j) = 5*j - 18. Let z(q) = -3*q + 9. Let m(f) = 4*s(f) + 9*z(f). What is c*m(l) - 5*y(l)?
l - 2
Let c(s) = 4*s**2 - 6*s - 38. Let i(g) = -3*g**2 + 5*g + 37. Calculate -4*c(t) - 5*i(t).
-t**2 - t - 33
Let k = 49 + -60. Let m(w) = -20*w + 5. Let f(v) = 19*v - 5. Let d(n) = -6*f(n) - 5*m(n). Let x(q) = -5*q + 2. Determine k*x(l) + 4*d(l).
-l - 2
Let u be (1 - 0)/(7/14). Suppose -3*r = -u*r + 1. Let v(o) = -o**2 - o - 1. Let n(g) = -7*g**2 - 6*g - 5. What is r*n(a) + 5*v(a)?
2*a**2 + a
Let z(o) = 9*o**3 - 9*o**2 + 9*o - 7. Let f(w) = -2 + 0 + 5*w**3 + 6*w - w - 2 - 5*w**2. Let m = -20 - -13. Calculate m*f(i) + 4*z(i).
i**3 - i**2 + i
Let r(l) = -8*l**3 - 6*l**2 - 7*l - 5. Let o(a) be the third derivative of 0 + 1/4*a**4 + 0*a + 2/3*a**3 + 1/12*a**5 + 7/120*a**6 - a**2. Give 6*o(i) + 5*r(i).
2*i**3 + i - 1
Let o(k) = 5*k**3 + 3*k**2 + 2. Let r(a) = -9*a**3 - 5*a**2 - 4. Let q(m) = m**2 - 4*m - 16. Let d be q(5). What is d*o(g) - 6*r(g)?
-g**3 - 3*g**2 + 2
Let p(i) = 27*i**2 - 9*i - 12. Let z(u) = u**2 - u - 1. What is p(m) - 12*z(m)?
15*m**2 + 3*m
Let x(r) = -r - 1. Let d(b) = 4*b - 2. Give -d(c) + 3*x(c).
-7*c - 1
Let m(v) = -4*v**3 + 2*v**2 - 6. Let g(r) = -5*r**3 + 3*r**2 - 6. Give -2*g(j) + 3*m(j).
-2*j**3 - 6
Let j(o) = -o - 1. Let y(t) = -7*t - 6. Let d(p) = p**3 + 15*p**2 + 15*p + 9. Let l be d(-14). Give l*j(m) + y(m).
-2*m - 1
Let p(x) = 3*x**2 + 3*x. Let d(r) = -r. Suppose 3 = -5*z - 2. Let n be -3 - 0 - (6 - 6). Give n*d(v) + z*p(v).
-3*v**2
Let c(b) = -9*b**3 - 2*b**2 - 8*b. Let d(y) = y**3 + y**2 + y. What is -c(p) - 6*d(p)?
3*p**3 - 4*p**2 + 2*p
Let p(l) = l - 1. Let y(u) = -14*u**2 + 2*u - 2. Determine -2*p(z) + y(z).
-14*z**2
Let b(a) = -a**3 - 1. Let i(j) = -2*j + 9. Let n be i(4). Let r(x) = -x**3. Give n*r(h) + b(h).
-2*h**3 - 1
Let y(t) = t - 1. Let f(r) = 6. Let p(b) = -6. Let j(s) = -6*f(s) - 5*p(s). Calculate j(k) - y(k).
-k - 5
Let a(j) be the third derivative of -7*j**5/60 - 5*j**4/24 - j**2. Let v(o) be the third derivative of o**5/60 + o**4/24 - 3*o**2. What is a(x) + 5*v(x)?
-2*x**2
Let b(f) = 3*f + 4. Let z = -1516 - -1520. Let x(a) = a - 1. Let i(q) = 8*q - 3. Let r = 9 + -3. Let h(c) = r*x(c) - i(c). Determine z*b(l) + 5*h(l).
2*l + 1
Let h(l) = -l + 3*l + 2 - l. Let p(q) = q - 1. Determine -h(k) - 2*p(k).
-3*k
Let t(z) = -z**3 + 2*z**2 + 5*z. Let i(k) = -2*k**3 + 3*k**2 + 9*k. Calculate -3*i(c) + 5*t(c).
c**3 + c**2 - 2*c
Let k(z) = -z**2 + 3*z + 3. Let p(g) = 4*g + 4. Let t(h) = 9*h + 9. Let f(m) = 7*p(m) - 3*t(m). Let r(y) = -y**2 - 8*y - 9. Let a be r(-6). Give a*f(c) - k(c).
c**2
Let r(m) = -9*m**3 + 5*m**2 + m - 5. Let u(y) = 13*y**3 - 7*y**2 - y + 7. Let d be (-5 + (-15)/(-10))*2. What is d*r(v) - 5*u(v)?
-2*v**3 - 2*v
Let n(d) = -3*d**3 + 3*d**2 + 7. Let h(g) = -g**3 + g**2 + 3. Let j(t) = -t**2 + 21*t - 5. Let u be j(21). What is u*h(m) + 2*n(m)?
-m**3 + m**2 - 1
Let c(k) = 4*k + 5. Let i = 8 + -10. Let q(x) = 1. Let t(y) = y - 5. Let u(n) = -6*q(n) - t(n). Calculate i*c(h) - 10*u(h).
2*h
Let o(q) = q**3 - 3*q**2 + 2*q - 3. Let f(n) = -4*n**3 + 14*n**2 - 10*n + 14. Give 6*f(c) + 28*o(c).
4*c**3 - 4*c
Let p(j) = 4*j. Let t(v) = v**3 - 4*v**2 + 3*v - 1. Let l be t(3). Let q(d) = -d. Let r(h) = 3*h. Let f(x) = -8*q(x) - 3*r(x). Give l*p(g) - 5*f(g).
g
Let u(t) be the third derivative of t**3/2 - 4*t**2. Let k(g) = g**2 - 7*g + 3. Let a be k(7). Let h(r) = -r + 1. Calculate a*h(f) - u(f).
-3*f
Suppose -54 = 81*z - 72*z. Let j(g) = 0 + 0 - 11*g**3. Let n(i) = 5*i**3. What is z*j(x) - 13*n(x)?
x**3
Let g(h) = 3*h**2 + 7*h + 4. Let m(d) = -2*d**2 - 8*d - 3. What is 5*g(p) + 6*m(p)?
3*p**2 - 13*p + 2
Let v(b) = -b + 1. L | {
"pile_set_name": "DM Mathematics"
} |
cked without replacement from jjqqjqqrqbqjqqbj. Give prob of picking 1 j and 1 r.
1/24
Calculate prob of picking 3 j when three letters picked without replacement from dmmmbmbdjjmmmdjbmmmr.
1/1140
What is prob of picking 1 k and 2 a when three letters picked without replacement from lhakllaalh?
1/40
Four letters picked without replacement from {o: 3, d: 3, z: 5, w: 1}. What is prob of picking 2 z and 2 o?
2/33
What is prob of picking 2 q when two letters picked without replacement from {j: 4, q: 15}?
35/57
Three letters picked without replacement from perppegierrgn. What is prob of picking 2 e and 1 r?
9/286
Three letters picked without replacement from {n: 1, z: 1, o: 3, k: 2}. What is prob of picking 1 o, 1 k, and 1 z?
6/35
Four letters picked without replacement from {e: 3, h: 2, l: 3, k: 2, g: 5}. What is prob of picking 1 l, 1 h, and 2 e?
6/455
Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {d: 4, z: 1, p: 1, f: 1, n: 1}.
1/28
Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, k: 7, p: 1, d: 2, u: 6}.
1/153
Four letters picked without replacement from ooocdoococooooo. Give prob of picking 1 d, 1 o, and 2 c.
11/455
What is prob of picking 4 m when four letters picked without replacement from mmjmkmjkllkhhmlj?
1/364
Four letters picked without replacement from {c: 6, f: 1, y: 4, d: 2}. Give prob of picking 4 y.
1/715
Four letters picked without replacement from prprrp. Give prob of picking 2 r and 2 p.
3/5
What is prob of picking 2 e, 1 z, and 1 o when four letters picked without replacement from {o: 6, e: 2, g: 1, z: 3}?
2/55
Four letters picked without replacement from kpckkjb. Give prob of picking 2 k and 2 c.
0
Four letters picked without replacement from zzzzzbbbzzzzbz. What is prob of picking 4 b?
1/1001
Calculate prob of picking 1 n and 2 q when three letters picked without replacement from {n: 11, k: 1, q: 5}.
11/68
Four letters picked without replacement from xxmxxhxmmmxsqhxxhx. What is prob of picking 2 m, 1 x, and 1 q?
3/170
What is prob of picking 1 o and 2 b when three letters picked without replacement from {o: 2, b: 4}?
3/5
What is prob of picking 2 m and 1 i when three letters picked without replacement from omixmxxfxoxxxofxaxfa?
1/1140
Four letters picked without replacement from fifffffiifff. Give prob of picking 3 f and 1 i.
28/55
Two letters picked without replacement from vvvjj. What is prob of picking 2 v?
3/10
What is prob of picking 1 h and 2 c when three letters picked without replacement from {k: 6, h: 7, c: 2}?
1/65
What is prob of picking 1 o and 1 x when two letters picked without replacement from {b: 1, l: 1, k: 1, x: 3, o: 1}?
1/7
Three letters picked without replacement from qgqqqqqgggqqgqgqqq. What is prob of picking 2 g and 1 q?
15/68
Two letters picked without replacement from {d: 6, a: 1, g: 6, n: 3, m: 3, q: 1}. What is prob of picking 2 m?
3/190
What is prob of picking 1 d and 3 w when four letters picked without replacement from {d: 11, w: 2}?
0
Two letters picked without replacement from {y: 3, x: 1}. What is prob of picking 1 y and 1 x?
1/2
Three letters picked without replacement from {v: 3, p: 1, g: 9, s: 6}. What is prob of picking 1 v and 2 g?
36/323
Three letters picked without replacement from ozonzozzz. What is prob of picking 1 n and 2 o?
1/28
Calculate prob of picking 2 o and 2 q when four letters picked without replacement from qqooqo.
3/5
Calculate prob of picking 2 k and 2 r when four letters picked without replacement from {r: 5, k: 8}.
56/143
Three letters picked without replacement from {q: 7, p: 1, m: 6}. What is prob of picking 1 p and 2 q?
3/52
Three letters picked without replacement from wwiwwwwwwwww. Give prob of picking 1 i and 2 w.
1/4
Two letters picked without replacement from {e: 1, r: 3, d: 1, a: 1, k: 1}. What is prob of picking 1 e and 1 a?
1/21
Calculate prob of picking 1 k, 2 f, and 1 g when four letters picked without replacement from gggfgffdfffkf.
84/715
Three letters picked without replacement from vtwwcgt. Give prob of picking 1 v, 1 g, and 1 t.
2/35
Calculate prob of picking 1 n, 1 b, and 1 s when three letters picked without replacement from {n: 5, b: 8, c: 4, s: 2}.
80/969
Three letters picked without replacement from vszihsjh. Give prob of picking 1 h, 1 z, and 1 i.
1/28
Calculate prob of picking 1 a and 1 d when two letters picked without replacement from dddldaaddddddd.
22/91
Calculate prob of picking 2 o and 2 l when four letters picked without replacement from {o: 5, q: 3, l: 1}.
0
Two letters picked without replacement from xxxv. Give prob of picking 2 x.
1/2
What is prob of picking 1 j and 1 u when two letters picked without replacement from jteutxxxtyjjtjtety?
4/153
What is prob of picking 3 h and 1 p when four letters picked without replacement from {v: 2, h: 4, p: 1}?
4/35
Three letters picked without replacement from {e: 3, h: 3}. Give prob of picking 2 e and 1 h.
9/20
What is prob of picking 1 q and 1 d when two letters picked without replacement from {q: 1, d: 1, i: 1}?
1/3
Calculate prob of picking 4 g when four letters picked without replacement from {y: 5, k: 1, g: 11}.
33/238
Calculate prob of picking 1 u and 1 k when two letters picked without replacement from {u: 4, v: 5, k: 1, r: 4, s: 3, m: 1}.
4/153
Two letters picked without replacement from {l: 11, j: 2}. What is prob of picking 2 j?
1/78
Three letters picked without replacement from {d: 4, t: 4, c: 1, a: 7, h: 2, s: 2}. What is prob of picking 1 s and 2 t?
1/95
Two letters picked without replacement from ggggghgggggggggggg. What is prob of picking 2 g?
8/9
What is prob of picking 1 q and 1 i when two letters picked without replacement from {i: 1, q: 5, d: 3}?
5/36
Calculate prob of picking 1 l and 1 j when two letters picked without replacement from {n: 5, x: 2, l: 1, j: 2, b: 5, a: 1}.
1/60
What is prob of picking 1 s and 1 n when two letters picked without replacement from nnnsnsn?
10/21
Two letters picked without replacement from {q: 4, s: 2, y: 7, l: 3, c: 1}. Give prob of picking 1 y and 1 l.
21/136
Three letters picked without replacement from kkkkkkkkkkkkkmmkkk. What is prob of picking 1 m and 2 k?
5/17
What is prob of picking 2 k when two letters picked without replacement from {h: 4, b: 3, k: 4, o: 6}?
3/68
Three letters picked without replacement from ggeb. Give prob of picking 1 b and 2 g.
1/4
What is prob of picking 1 a and 1 d when two letters picked without replacement from {a: 2, d: 1, i: 5, k: 1}?
1/18
What is prob of picking 1 l, 2 o, and 1 d when four letters picked without replacement from ztoyooylloooltd?
3/91
What is prob of picking 4 g when four letters picked without replacement from ccgggggcggcgc?
14/143
What is prob of picking 1 s and 2 l when three letters picked without replacement from lsssstskltkls?
9/143
Two letters picked without replacement from {h: 1, c: 1, d: 11}. Give prob of picking 1 c and 1 h.
1/78
Calculate prob of picking 3 s when three letters picked without replacement from sxsssssssxssxsss.
143/280
Three letters picked without replacement from rysssssayk. Give prob of picking 1 s and 2 y.
1/24
What is prob of picking 1 p, 1 i, and 2 d when four letters picked without replacement from {p: 1, o: 2, b: 3, i: 5, d: 3, s: 1}?
1/91
Four letters picked without replacement from {y: 2, b: 9}. Give prob of picking 2 y and 2 b.
6/55
Calculate prob of picking 1 q and 2 p when three letters picked without replacement from {y: 1, q: 3, p: 3}.
9/35
Two letters picked without replacement from {z: 3, o: 4, t: 1}. Give prob of picking 1 z and 1 t.
3/28
Two letters picked without replacement from {p: 5, j: 11, c: 1}. What is prob of picking 1 j and 1 c?
11/136
Four letters picked without replacement from {m: 3, x: 10, p: 3, s: 3}. What is prob of picking 1 m, 2 s, and 1 p?
9/1292
Three letters picked without replacement from zbblzzbb. Give prob of picking 1 b, 1 l, and 1 z.
3/14
Four letters picked without replacement from {j: 9, v: 9}. What is prob of picking 3 j and 1 v?
21/85
Two letters picked without replacement from qgggqivisssssggggg. What is prob of picking 1 g and 1 s?
40/153
Two letters picked without replacement from {h: 4, b: 3}. What is prob of picking 1 b and 1 h?
4/7
Thr | {
"pile_set_name": "DM Mathematics"
} |
of 419, 829, 1235, 1637, 2035, 2429?
-2*m**2 + 416*m + 5
What is the i'th term of 252, 249, 236, 207, 156?
-i**3 + i**2 + i + 251
What is the h'th term of -537, -538, -539?
-h - 536
What is the q'th term of 3, -1, -7, -15, -25?
-q**2 - q + 5
What is the d'th term of -85, -77, -67, -55, -41, -25?
d**2 + 5*d - 91
What is the p'th term of 42, 69, 94, 117, 138?
-p**2 + 30*p + 13
What is the a'th term of -1312, -2624, -3936, -5248, -6560, -7872?
-1312*a
What is the f'th term of -166, -154, -142, -130?
12*f - 178
What is the l'th term of -29, -288, -981, -2324, -4533, -7824, -12413?
-36*l**3 - l**2 - 4*l + 12
What is the w'th term of -14, -31, -64, -119, -202, -319, -476?
-w**3 - 2*w**2 - 4*w - 7
What is the i'th term of -60, -120, -178, -234, -288, -340?
i**2 - 63*i + 2
What is the o'th term of 2631, 2632, 2633, 2634, 2635, 2636?
o + 2630
What is the d'th term of -33, -56, -103, -186, -317?
-2*d**3 - 9*d - 22
What is the b'th term of 204, 797, 1784, 3159, 4916, 7049, 9552, 12419?
-b**3 + 203*b**2 - 9*b + 11
What is the h'th term of -1, 11, 33, 71, 131, 219, 341, 503?
h**3 - h**2 + 8*h - 9
What is the q'th term of -609, -593, -577, -561, -545?
16*q - 625
What is the x'th term of -23, -13, 7, 43, 101?
x**3 - x**2 + 6*x - 29
What is the g'th term of 3194, 3188, 3180, 3170?
-g**2 - 3*g + 3198
What is the g'th term of 9, 18, 39, 78, 141, 234, 363?
g**3 + 2*g + 6
What is the r'th term of 86, 178, 270, 362, 454, 546?
92*r - 6
What is the b'th term of 1714, 1710, 1706, 1702?
-4*b + 1718
What is the w'th term of -37, -76, -115, -154, -193?
-39*w + 2
What is the g'th term of -14, -10, -4, 4, 14, 26, 40?
g**2 + g - 16
What is the z'th term of -109, -119, -129?
-10*z - 99
What is the w'th term of 70, 280, 630, 1120?
70*w**2
What is the g'th term of -37, -70, -161, -340, -637?
-5*g**3 + g**2 - g - 32
What is the s'th term of -2062, -4115, -6154, -8173, -10166?
s**3 + s**2 - 2063*s - 1
What is the x'th term of 122, 249, 376, 503, 630?
127*x - 5
What is the w'th term of -1957, -1958, -1969, -1996, -2045, -2122?
-w**3 + w**2 + 3*w - 1960
What is the d'th term of 20, 37, 64, 107, 172, 265, 392, 559?
d**3 - d**2 + 13*d + 7
What is the k'th term of -2, -12, -30, -56, -90, -132, -182?
-4*k**2 + 2*k
What is the h'th term of -313, -308, -301, -292, -281?
h**2 + 2*h - 316
What is the m'th term of -13, -18, -25, -34, -45?
-m**2 - 2*m - 10
What is the l'th term of -83, -183, -307, -467, -675, -943?
-2*l**3 - 86*l + 5
What is the z'th term of -285, -524, -763, -1002, -1241?
-239*z - 46
What is the y'th term of 24, 28, -2, -84, -236, -476, -822, -1292?
-3*y**3 + y**2 + 22*y + 4
What is the c'th term of -119, -242, -363, -482?
c**2 - 126*c + 6
What is the l'th term of 14, -1, -26, -61, -106, -161?
-5*l**2 + 19
What is the m'th term of -18, -56, -112, -180, -254?
m**3 - 15*m**2 - 4
What is the r'th term of 171, 330, 489, 648?
159*r + 12
What is the m'th term of -3458, -3453, -3448, -3443, -3438?
5*m - 3463
What is the w'th term of 225, 446, 667?
221*w + 4
What is the c'th term of 4635, 4628, 4607, 4566, 4499?
-c**3 - c**2 + 3*c + 4634
What is the t'th term of 48, 116, 294, 636, 1196, 2028, 3186?
9*t**3 + t**2 + 2*t + 36
What is the r'th term of 281, 565, 849, 1133?
284*r - 3
What is the q'th term of -33, -54, -111, -222, -405, -678, -1059?
-3*q**3 - 30
What is the j'th term of -53, -62, -93, -158, -269?
-2*j**3 + j**2 + 2*j - 54
What is the u'th term of -1, -18, -51, -100?
-8*u**2 + 7*u
What is the i'th term of 8, -18, -56, -112, -192?
-i**3 - 19*i + 28
What is the s'th term of -125, -162, -199, -236, -273?
-37*s - 88
What is the m'th term of 114, 452, 1022, 1830, 2882?
m**3 + 110*m**2 + m + 2
What is the q'th term of 585, 584, 583, 582, 581, 580?
-q + 586
What is the k'th term of -165, -673, -1517, -2697, -4213?
-168*k**2 - 4*k + 7
What is the w'th term of 212, 848, 1914, 3416, 5360, 7752, 10598, 13904?
w**3 + 209*w**2 + 2*w
What is the s'th term of 6, 141, 276, 411, 546?
135*s - 129
What is the g'th term of 594, 1188, 1782, 2376?
594*g
What is the a'th term of 87, 77, 59, 33?
-4*a**2 + 2*a + 89
What is the g'th term of 44, 139, 288, 491?
27*g**2 + 14*g + 3
What is the o'th term of 12365, 24730, 37095, 49460, 61825?
12365*o
What is the t'th term of 47, 99, 151, 203, 255?
52*t - 5
What is the k'th term of 89, 183, 263, 323, 357, 359?
-k**3 - k**2 + 104*k - 13
What is the p'th term of 18, 23, 26, 27, 26?
-p**2 + 8*p + 11
What is the k'th term of 155, 157, 159, 161, 163, 165?
2*k + 153
What is the g'th term of 210, 220, 230, 240, 250, 260?
10*g + 200
What is the t'th term of -137, -131, -113, -77, -17, 73?
t**3 - t - 137
What is the q'th term of 14598, 14599, 14600, 14601, 14602, 14603?
q + 14597
What is the x'th term of -111, -106, -101?
5*x - 116
What is the c'th term of -175, -357, -539?
-182*c + 7
What is the v'th term of 5, 20, 35, 50?
15*v - 10
What is the q'th term of 80, 171, 252, 317, 360, 375, 356, 297?
-q**3 + q**2 + 95*q - 15
What is the o'th term of 69, 72, 85, 114, 165?
o**3 - o**2 - o + 70
What is the k'th term of -6, 2, 24, 60?
7*k**2 - 13*k
What is the o'th term of 28, 33, 36, 37, 36, 33, 28?
-o**2 + 8*o + 21
What is the s'th term of 64, 146, 242, 358, 500, 674, 886?
s**3 + s**2 + 72*s - 10
What is the f'th term of -8992, -8990, -8988?
2*f - 8994
What is the m'th term of -749, -747, -745, -743, -741, -739?
2*m - 751
What is the m'th term of 56, 63, 70, 77, 84?
7*m + 49
What is the f'th term of 2, 0, -2?
-2*f + 4
What is the x'th term of 174, 388, 744, 1242, 1882, 2664, 3588?
71*x**2 + x + 102
What is the d'th term of 108, 101, 90, 75, 56, 33, 6?
-2*d**2 - d + 111
What is the i'th term of -4490, -4495, -4502, -4511, -4522, -4535, -4550?
-i**2 - 2*i - 4487
What is the n'th term of 1017, 2027, 3037?
1010*n + 7
What is the c'th term of 429, 426, 421, 414, 405?
-c**2 + 430
What is the p'th term of 635, 2543, 5727, 10187, 15923?
638*p**2 - 6*p + 3
What is the f'th term of -101, -99, -95, -89?
f**2 - f - 101
What is the u'th term of -40, -23, -8, 5, 16, 25, 32?
-u**2 + 20*u - 59
What is the q'th term of 21, 1, -53, -159, -335, -599, -969?
-3*q**3 + q**2 - 2*q + 25
What is the c'th term of -320, -632, -942, -1250, -1556?
c**2 - 315*c - 6
What is the l'th term of -433, -864, -1295, -1726, -2157, -2588?
-431*l - 2
What is the h'th term of 150, 320, 494, 672, 854?
2*h**2 + 164*h - 16
What is the x'th term of -111, -111, -117, -135, -171?
-x**3 + 3*x**2 - 2*x - 111
What is the r'th term of 60, -16, -152, -354, -628, -980, -1416, -1942?
-r**3 - 24*r**2 + 3*r + 82
What is the t'th term of 19, 1, -63, -197, -425, -771, -1259, -1913?
-4*t**3 + t**2 + 7*t + 15
What is the s'th term of 201, 402, 601, 798?
-s**2 + 204*s - 2
What is the i'th term of 1601, 3207, 4801, 6377, 7929, 9451, 10937, 12381?
-i**3 + 1613*i - 11
What is the t'th term of 2577, 2580, 2593, 2622, 2673?
t**3 - t**2 - t + 2578
What is the x'th term of 223, 425, 627?
202*x + 21
What is the y'th term of -1671, -3342, -5013, -6684, -8355?
-1671*y
What is the r'th term of -140, -179, -240, -335, -476?
-2*r**3 + r**2 - 28*r - 111
What is the o'th term of 348, 349, 350, 351, 352?
o + 347
What is the t'th term of -66, -380, -1232, -2892, -5630, -9716, -15420, -23012?
-45*t**3 + t**2 - 2*t - 20
What is the s'th term of -225, -227, -229, -231?
-2*s - 223
What is the a'th term of -36, -33, -20, 9, 60, 139, 252?
a**3 - a**2 - a - 35
What is the l'th term of -21, 6, 51, 108, 171, 234?
-l**3 + 15*l**2 - 11*l - 24
What is the r'th term of -7743, -7744, -7745, -7746, -7747, -7748?
-r - 7742
What is the z'th term of -42, -82, -118, -150, -178, -202?
2*z**2 - 46*z + 2
What is the x'th term of 14, 15, 26, 53, 102, 179?
x**3 - x**2 - 3*x + 17
What is the w'th term of 74, 173, 272?
99*w - 25
What is the y'th term of -31, -123, -277, -493, -771?
-31*y**2 + y - 1
What is the v'th term of 9, 35, 51, 51, 29, -21?
-v**3 + v**2 + 30*v - 21
What is the z'th term of 12153, 12162, 12185, 12228, 12297, 12398, 12537?
z**3 + z**2 - z + 12152
What is the j'th term of 138, 272, 406?
134*j + 4
What is the s'th term of -44, -108, -280, -614, -1164, -1984, -3128?
-9*s**3 - s - 34
What is the c'th term of -921, -1846, -2771?
-925*c + 4
What is the w'th term of -30109, -30114, -30121, -30130, -30141?
-w**2 - 2*w - 30106
What is the q'th term of 3 | {
"pile_set_name": "DM Mathematics"
} |
= -11*p(l) - 2*x(l). Let t be k(12). Solve 16 = t*c, 5 = -2*v + 2*c - 11 for v.
-4
Let r be (5 - -4)*(1/3 + 0). Solve -r*f - 4*l - 15 = -8*f, -26 = f + 5*l for f.
-1
Suppose -10*v - 53 + 53 = 0. Solve -5*z = -4*o - v*o - 32, -3*o = 9 for z.
4
Suppose 0 = 20*j - 4 - 96. Solve -j*n = -f + 4 - 16, -4*n - 4*f = 0 for n.
2
Let j = -283 + 303. Solve 5*s = -4*v + j, -7*s = v - 4*s - 5 for v.
5
Suppose -2*s = -5*m + 44, 3*s + 9*m = 4*m - 41. Let b = -3 - s. Solve -q = -3*g + b, 2*g - 2*q - 6 = -3*q for g.
4
Let l = 36 - 24. Let y be (-3)/l + 51/12. Solve -2*x + 24 - 4 = -y*m, x + m + 5 = 0 for x.
0
Let n(d) = 7*d**2 + 2*d - 2. Let i be n(-1). Solve -5*k + 5 = -5*p - 0*p, 0 = -i*p for k.
1
Suppose -7*i + 6*i + 4*k = 5, -3*k - 9 = -5*i. Solve -i*y + 0*x - 14 = -5*x, -8 = 4*y - 4*x for y.
2
Suppose -5*o - 4*l = -14, -7 = -2*o + 5*l - 8. Solve -o*q = -x - 4, -x + 3*q = 2*x + 3 for x.
2
Let f be (-14)/(-5 + 3) + -2. Let y = 10 - f. Let c(a) = a + 15. Let g be c(0). Solve -5*t = -g, -y*q - 4*t = -11 - 21 for q.
4
Let s(w) = -2*w + 22. Let u be s(10). Suppose u*f - 6*p + p = 0, -3*f - 5*p + 25 = 0. Solve -f*v + 10 = 0, 0 = -4*m - 3*v + 21 - 3 for m.
3
Let x = -12 + 21. Let j be 48/x*(-3)/(-4). Solve -j*v + 21 = -2*z + v, -3*z + 4*v = 21 for z.
-3
Suppose -4*x + 36 = 2*p, -6*p = -4*p + 2*x - 26. Let q be (10/p)/(24/192). Let a be -1 + 4/(-1 + 2). Solve 5 = a*u - t + 15, -4*t = -2*u - q for u.
-3
Let l be 6/4 - 1/(-2). Let q be ((-2)/(-10))/((-46)/(-690)). Solve 10 = l*b - 0*i - i, 0 = -3*b + q*i + 18 for b.
4
Let o(y) = -y**3 - 3*y**2 - 6*y - 15. Let v be o(-3). Solve 3*x - v*h + 2*h = 10, -10 = -x - h for x.
5
Let n(u) = 13 - 8*u + 40 + 2*u - 11. Let i be n(6). Solve a - 10 = 5*v, -2*v - 4 = a - i*a for v.
-2
Let d(a) = a**2 - 9*a - 65. Let h be d(-5). Solve 0 = s - f + 8, -h*s = 3*f + 9 + 7 for s.
-5
Suppose 2*o + 20*g = 24*g + 26, -2*o + 1 = g. Solve 2*u = -u + 5*a + o, 2*a + 10 = -u for u.
-4
Let g(k) be the first derivative of k**2 - 15*k - 3. Let a be g(9). Solve -2*r + 4*h - 2*h + 4 = 0, -5*h - 26 = a*r for r.
-2
Let u(s) = 3*s**2 - 12*s + 7. Let o be u(4). Solve -o*q = -6*q + 3*y + 12, 6 = 2*q - 4*y for q.
-3
Let j(v) = 6*v**2 + 2*v + 1. Let h be j(-1). Suppose 14 = -3*l + h. Let y be 2 - (l + 7)/(-4). Solve 3*t - w = -2, 0 = -y*t + 3*w - 0*w for t.
-1
Let a = 25 + -16. Let k be (-12)/(-2) - 3/(-4 + 7). Solve -k*i - 13 = -4*o + 4, -a = -3*o for i.
-1
Suppose 5*v - 20 = 0, 2*b = 3*v - 2*v. Suppose 0 = -b*r - 2*z, 3*r + 7*z + 6 = 2*z. Solve s = -5*q - 20, -2*s + 4*q = -r*s - 16 for s.
0
Let s = -224 - -226. Solve 0 = -w + s, 3*v - w - 23 = -2*v for v.
5
Let z be -2 - -4 - 2 - -9. Suppose -p = -z*s + 4*s + 23, -4*s + 18 = -p. Solve -4*t - 19 = t + 3*b, s*t + 4*b = -22 for t.
-2
Suppose -4*u - 5*i + 91 = 0, -5*i = 7*u - 2*u - 110. Suppose 3*h = -2*g + u, -g + 5*h - 23 = -0*g. Solve -y + 13 = -4*q, 5 = -4*q + g*y - 5 for q.
-4
Let r = -771 - -777. Solve w = b, 2*b + 15 = -5*w - r for w.
-3
Suppose -d = 5*a - 6, 5*a + 24*d = 29*d + 30. Solve o = 3*m + 1, 4*m - o + 0*o + a = 0 for m.
-1
Let p = -16 + 18. Suppose 3*v - p*q + 3*q = 7, 2*v + q - 3 = 0. Suppose -v*c = 2 - 14. Solve -t - 12 = -4*r, 2*t - c*r + 4 = -5 for t.
0
Suppose t + 18 = 4*t. Let s(j) = -j**3 + 7*j**2 - 5*j - 3. Let k be s(t). Solve 5*n = x - 15, 5*x - 5 = k*n - 18 for x.
-5
Let b = -48 + 43. Let w be (0 + -2)*(-5 + 9 + b). Solve -2*j - 3 = m - 13, -5*m + 18 = w*j for j.
4
Let w = 43 - 38. Suppose 0 = h - 3*x - 2*x + 18, -3*h - w*x = -26. Solve 4*m - 10 = -3*o + 3*m, 0 = -o + h*m + 15 for o.
5
Suppose -2 = 22*n - 46. Solve -3*b = 3*x, n*x - 4*b - 10 = -b for x.
2
Let p be 380/60 - (-2)/(-6). Suppose 0 = 2*i + i - p. Solve 3*s = -5*o - 15, -i*s - 6 - 4 = o for o.
0
Suppose -3*u + 25 = -11. Suppose -q - 5*g = u - 52, -5*q + 80 = -5*g. Solve -q = b + 2*p + 3*p, 4*b = -p - 4 for b.
0
Suppose 0 = 56*p - 47*p - 27. Solve -13 = -5*w + p*r, -25 - 3 = -4*w - 2*r for w.
5
Let m be (-5 + 7)*30/12. Suppose 0 = b - 4*z, 0*b + 5*z = 2*b - 6. Solve -5*r = -3*r + j - b, m*j + 5 = -r for r.
5
Let l = -175 + 179. Solve -j - l*b + 3*b + 6 = 0, j = 3*b - 6 for j.
3
Let c(o) = -o - 9. Let y be c(-4). Let l = -1 - y. Solve 28 = -l*v - 4*b, -5*b - 16 = v + 3 for v.
-4
Let y be (4 + 24/(-4))*-2. Solve 3*h + 19 = -i, i = 6*i - y*h for i.
-4
Let w be (-12 - (-42)/4)/((-1)/2). Solve 2*x - 18 = -0*x - w*j, 3*x = 5*j - 11 for x.
3
Suppose 7*k - 543 - 87 = 0. Suppose -3*q + 102 = k. Solve 5*a + 6 = q*a + 2*u, a - u = -4 for a.
-2
Let k be (-1)/1*-4 - 2. Suppose 4 - 8 = -2*c. Let l be 0*(4 + -5 + c). Solve 1 = 4*f - k*f + 3*x, l = 3*x - 3 for f.
-1
Let p = 659 - 655. Solve 0 = -4*g + w - 2 - 4, -g - p*w - 10 = 0 for g.
-2
Suppose 5*t - 5 = b, 4*t + 4*b + 29 - 9 = 0. Solve t = -4*n + 4*u + 28, 5*n + 3*u = -9 + 20 for n.
4
Suppose 5*b - b = -60. Let w be ((-3)/(-2))/(-3) - b/6. Solve -n - 9 = -2*i + w, 3*i = -5*n - 16 for i.
3
Let j = 43 + -39. Suppose -j*p + 0*p = -4, 5*p = -3*t + 17. Solve -3*o + 12 = -2*q - 3*q, 2*q = -o + t for q.
0
Suppose 16*d = 18*d + 94. Let t = d - -47. Solve 3 + 13 = -4*r - 5*z, t = -5*r + z + 9 for r.
1
Let i = 18 - 20. Let m be i/8*0 - -2. Suppose 0 = m*x - 0*x - 6. Solve 4*o + d = 10 + 8, -14 = -4*o - x*d for o.
5
Let t(o) = -2*o**2 - 6*o - 4. Let n be t(-1). Solve d - 5*s = 2*d + 16, -d - 3*s - 10 = n for d.
-1
Suppose -9*m - 37 + 136 = 0. Solve -n = -2*b - m, -7*b + 2*b - 3*n = 0 for b.
-3
Suppose -283 = -8*r - 27. Let s = 64 - r. Solve -4*u = 4*i + s, -4*i - 3*u = -4*u + 7 for i.
-3
Suppose 15*c - 14*c = 28. Solve -18 = u - 3*j, -j - c = u - 6*j for u.
-3
Let x be -2 - 104/(-78)*3/2. Solve x = h + 4*l + 19, -2*l + 6*l = -2*h - 22 for h.
-3
Suppose -3*q + 4*q = 4. Suppose -4*g - 25 = -5*d, q*g = 3*g. Let p = 219 - 216. Solve -d*m = -p*v + 6, 5*v = 4*m + m + 10 for v.
2
Let k = -21 + 23. Suppose -8 = k*d - y + 5*y, 4*d + 5*y + 4 = 0. Solve 0 = -5*n + 2*m + 4, 3*n + d*m - 3*m = -2 for n.
0
Let t = -38 + 41. Let h be 4 + 4 + t + -9. Solve -3*y - 5*i - 28 = -2*y, -1 = -3*y + h*i for y.
-3
Let q = 61 + -64. Let n be 3/9*-3 - q. Solve 2*v = -d - 7, -3*v - 6 = -d - n*d for v.
-3
Let h = -172 - -175. Solve -h*j - 2 = j - 2*p, -2*p + 5 = -5*j for j.
-3
Let f be ((-28)/3)/(-4) + (-10)/(-15). Solve -5*w - n - f*n + 17 = 0, -4*n = 4*w - 16 for w.
1
Let p(v) = 2*v - 63. Let z be p(34). Solve -q - 5 = 2*h + 2*q, 0 = 5*h + 4*q - z for h.
5
Suppose 3*x = -c + 9, 26*c = 22*c. Solve x*v - 12 = 3*z, z + z + v - 1 = 0 for z.
-1
Let g = -39 - -42. Suppose -2*o - 9 = -5*r, -1 = g*o - 10. Solve -3*t - 10 = 4*c, -4 = 5*c - 2*t - r for c.
-1
Suppose 5*y - 4*r - 11 = -3*r, y - 3*r - 5 = 0. Solve h - 3 = 3*x - 0*x, -4*h = -y*x + 8 for x.
-2
Suppose -z = 2*h, -4*h = -z - 2*z. Let v = h - -3. Suppose v = g - 2. Solve 0 = 4*d + w + 11, -w = g*d + 2*w + 12 for d.
-3
Suppose a - 17 = -0*a. Suppose 5*f = 3*f + 2*d + 14, -5*d = f + a. Solve 2*m = f*k + 15, -m + 30 = 4*m - 5*k for m.
3
Let n = -39 - -2. Let d = n - -37. Suppose 2 = 4*z - 18. Solve -3*m + 2 = i - z*i, -3*i - m - 8 = d for i.
-2
Let v be ((-310)/20 - -9)/((-1)/2). Solve -3*s + v = g, -s - 4 = -3*s - 3*g for s.
5
Let h be 44*(-8 - (-33)/4). Solve x = 3*o - h, -4*x = o - 3*o - 6 for o.
5
Let o(j) be the first derivative of j**3/3 + 9*j**2/2 - 32*j - 20. Let z be o(-12). Solve y - 2*v - 2 = 0, z*y + 35 - 7 = -4*v for y.
-4
Let z be (-50)/(-4) + 1/(-2). Suppose 13 + 10 = -7*f + 51. Solve 2*x + z = f*l, l - 7 = -3*x + 3 for x.
2
Suppose 4*z - 5*u - 72 = 0, 0 = -10*u + 5*u + 20. Solve 0 = -f - 3*r - 2*r - z, 11 = -2*f - 3*r for f.
2
Let r = -1213 - -1219. Solve 3*q - 2*n - 14 = 0, 0 = -0*q - 5*q - 4*n - r for q.
2
Suppose 8 = 2*s - 2*q + q, 5*q = -3*s + 12. Suppose -5*g = -s*g + 6. Let j = 10 + g. Solve r + 3*n - 7 = 8*n, 4*r = -j*n + 4 for r.
2
Let g(a) = 57*a - 549. Let r be g(10). Let s(w) = w**3 - 6*w**2 - 7*w. Let m be s(7). Solve -k + m*b - 1 = -3*b, 4*k + r = -5*b for k.
-4
Suppose -s = 2*s + 120. Let o be s/16*-2*1. Let i = o + 0. Solve -2*c = m - 5, -4*c = -0*m + i*m - 13 for m.
1
Let w(s) = 3*s + 20. Let x be w(-9). Let f be 114/14 - (-1)/x. Solve 4*d - 4*n + f = 0, -d - 20 = -n + 6*n for d.
-5
Let n(x) be the third derivative of x**6/120 - x**5/6 + x**4/3 + 11*x**3/6 + 52*x**2. Let f be n(9). Solve 4*r = 5*t - t - 24, -8 = -f*t for r.
-2
Let f be (10 | {
"pile_set_name": "DM Mathematics"
} |
07534?
-f**3 + f**2 - 101859*f + 1861
What is the n'th term of -113976, -227963, -341950, -455937, -569924, -683911?
-113987*n + 11
What is the d'th term of -954, -2001, -3186, -4509, -5970?
-69*d**2 - 840*d - 45
What is the x'th term of -25927, -51461, -76987, -102505?
4*x**2 - 25546*x - 385
What is the j'th term of 262, 492, 830, 1264, 1782?
-2*j**3 + 66*j**2 + 46*j + 152
What is the y'th term of 348209, 696449, 1044689?
348240*y - 31
What is the y'th term of 175735, 703105, 1582109, 2812747?
175817*y**2 - 81*y - 1
What is the g'th term of 34143, 33967, 33493, 32571, 31051, 28783?
-25*g**3 + g**2 - 4*g + 34171
What is the j'th term of 137121243, 274242483, 411363723?
137121240*j + 3
What is the d'th term of -228, -815, -1792, -3159, -4916, -7063, -9600?
-195*d**2 - 2*d - 31
What is the u'th term of -69988754, -69988755, -69988756?
-u - 69988753
What is the i'th term of -38293184, -76586369, -114879554, -153172739?
-38293185*i + 1
What is the n'th term of 1505, 4200, 6897, 9596?
n**2 + 2692*n - 1188
What is the b'th term of 751853, 1503182, 2254511, 3005840?
751329*b + 524
What is the y'th term of 214187, 214287, 214387, 214487?
100*y + 214087
What is the c'th term of 3308, 3232, 3110, 2942, 2728, 2468?
-23*c**2 - 7*c + 3338
What is the r'th term of -6680, -7130, -7580, -8030, -8480, -8930?
-450*r - 6230
What is the j'th term of 63407, 57527, 51647?
-5880*j + 69287
What is the h'th term of 9189, 18487, 27881, 37371?
48*h**2 + 9154*h - 13
What is the j'th term of 104001, 208003, 312017, 416043?
6*j**2 + 103984*j + 11
What is the p'th term of 35788, 34278, 31754, 28210, 23640, 18038?
-p**3 - 501*p**2 + 36290
What is the l'th term of 4318, 5366, 6414, 7462, 8510?
1048*l + 3270
What is the r'th term of -7596910, -15193820, -22790730, -30387640?
-7596910*r
What is the n'th term of -147744, -297042, -446340?
-149298*n + 1554
What is the m'th term of -4276989, -17107904, -38492753, -68431530, -106924229, -153970844?
m**3 - 4276973*m**2 - 3*m - 14
What is the w'th term of 3202933, 3202928, 3202919, 3202906?
-2*w**2 + w + 3202934
What is the a'th term of 29004, 58250, 87728, 117438?
116*a**2 + 28898*a - 10
What is the f'th term of 537315, 537318, 537325, 537336?
2*f**2 - 3*f + 537316
What is the g'th term of 8732, 8750, 8772, 8792, 8804, 8802, 8780?
-g**3 + 8*g**2 + g + 8724
What is the u'th term of -17467, -37419, -57371, -77323?
-19952*u + 2485
What is the v'th term of -343884, -687898, -1031898, -1375878, -1719832, -2063754?
v**3 + v**2 - 344024*v + 138
What is the i'th term of 827, 1616, 2451, 3368, 4403?
6*i**3 - 13*i**2 + 786*i + 48
What is the j'th term of -6407, -6776, -7387, -8240, -9335, -10672, -12251?
-121*j**2 - 6*j - 6280
What is the f'th term of -13488439, -26976855, -40465271, -53953687?
-13488416*f - 23
What is the t'th term of -529462, -529356, -529180, -528934, -528618, -528232?
35*t**2 + t - 529498
What is the d'th term of 527192, 524492, 521792, 519092?
-2700*d + 529892
What is the f'th term of -2480, -10001, -22550, -40139, -62780, -90485, -123266, -161135?
-2*f**3 - 2502*f**2 - f + 25
What is the k'th term of 77680785, 77680784, 77680783?
-k + 77680786
What is the r'th term of -54810, -55398, -55986, -56574, -57162?
-588*r - 54222
What is the i'th term of 600, 1110, 1974, 3192, 4764, 6690, 8970?
177*i**2 - 21*i + 444
What is the w'th term of -13536, -107506, -362456, -858876, -1677256, -2898086, -4601856?
-13415*w**3 - 65*w - 56
What is the g'th term of -2445, -5797, -10055, -15219?
-453*g**2 - 1993*g + 1
What is the u'th term of 1655, 3417, 5297, 7355, 9651, 12245, 15197?
10*u**3 - u**2 + 1695*u - 49
What is the f'th term of 2982676, 5965349, 8948022, 11930695, 14913368?
2982673*f + 3
What is the o'th term of 2324183, 2323972, 2323775, 2323598, 2323447, 2323328, 2323247, 2323210?
o**3 + o**2 - 221*o + 2324402
What is the u'th term of -235210, -940835, -2116874, -3763327, -5880194, -8467475, -11525170?
-235207*u**2 - 4*u + 1
What is the u'th term of -581808735, -581808736, -581808737?
-u - 581808734
What is the b'th term of -13630, -14110, -14910, -16030, -17470, -19230, -21310?
-160*b**2 - 13470
What is the k'th term of 2026, 3551, 6098, 9667, 14258, 19871?
511*k**2 - 8*k + 1523
What is the d'th term of 234625, 469205, 703755, 938275, 1172765, 1407225, 1641655?
-15*d**2 + 234625*d + 15
What is the y'th term of -719492, -1438990, -2158488, -2877986?
-719498*y + 6
What is the d'th term of 18698, 32869, 47040, 61211, 75382?
14171*d + 4527
What is the j'th term of -1831428004, -1831428003, -1831428002, -1831428001?
j - 1831428005
What is the s'th term of -21463, -9673, 9979, 37493?
3931*s**2 - 3*s - 25391
What is the o'th term of -11756487, -11756551, -11756665, -11756835, -11757067, -11757367, -11757741?
-o**3 - 19*o**2 - 11756467
What is the x'th term of 29473929, 29473931, 29473933, 29473935, 29473937, 29473939?
2*x + 29473927
What is the v'th term of -55188, -55253, -55308, -55347, -55364?
v**3 - v**2 - 69*v - 55119
What is the c'th term of -2739, 634, 4009, 7386, 10765, 14146, 17529?
c**2 + 3370*c - 6110
What is the y'th term of 14338416, 28676831, 43015246, 57353661?
14338415*y + 1
What is the p'th term of 281844, 281840, 281836, 281832, 281828?
-4*p + 281848
What is the g'th term of -15962, -17067, -18908, -21485, -24798, -28847, -33632?
-368*g**2 - g - 15593
What is the c'th term of -2339239, -2339227, -2339207, -2339179, -2339143, -2339099, -2339047?
4*c**2 - 2339243
What is the l'th term of 10499214, 20998417, 31497610, 41996787, 52495942, 62995069, 73494162?
-l**3 + l**2 + 10499207*l + 7
What is the u'th term of 141392, 141516, 141640, 141764, 141888, 142012?
124*u + 141268
What is the i'th term of 13118, 31443, 49768, 68093?
18325*i - 5207
What is the g'th term of -13045, -52286, -117685, -209242, -326957, -470830, -640861?
-13079*g**2 - 4*g + 38
What is the t'th term of 5665029, 5665027, 5665025, 5665023?
-2*t + 5665031
What is the o'th term of -31, 105, 667, 1895, 4029, 7309, 11975, 18267?
40*o**3 - 27*o**2 - 63*o + 19
What is the n'th term of -45798948, -45798945, -45798942?
3*n - 45798951
What is the p'th term of 218899, 437790, 656669, 875536, 1094391?
-6*p**2 + 218909*p - 4
What is the d'th term of -14405, -57236, -128473, -228110, -356141?
d**3 - 14209*d**2 - 211*d + 14
What is the l'th term of -31155, -62659, -94163, -125667, -157171, -188675?
-31504*l + 349
What is the r'th term of 310513, 622566, 934619?
312053*r - 1540
What is the f'th term of 144003, 143273, 142543, 141813, 141083, 140353?
-730*f + 144733
What is the u'th term of 51641, 103288, 154947, 206612, 258277?
-u**3 + 12*u**2 + 51618*u + 12
What is the u'th term of 132934, 265751, 398446, 531019, 663470, 795799, 928006?
-61*u**2 + 133000*u - 5
What is the d'th term of -2196, -9849, -22604, -40461, -63420?
-2551*d**2 + 355
What is the w'th term of -474229, -948464, -1422687, -1896892, -2371073, -2845224?
w**3 - 474242*w + 12
What is the q'th term of -31418, -62537, -93656?
-31119*q - 299
What is the l'th term of 43207, 172718, 388565, 690742, 1079243, 1554062, 2115193?
-l**3 + 43174*l**2 - 4*l + 38
What is the f'th term of -549, -611, -641, -639, -605?
16*f**2 - 110*f - 455
What is the u'th term of 337386, 674707, 1012028, 1349349, 1686670?
337321*u + 65
What is the a'th term of -15062, -14998, -14910, -14786, -14614?
2*a**3 + 50*a - 15114
What is the a'th term of -2946076, -2946075, -2946066, -2946043, -2946000, -2945931?
a**3 - 2*a**2 - 2946075
What is the l'th term of 4424, 37764, 128266, 304514, 595092, 1028584, 1633574, 2438646?
4764*l**3 - 3*l**2 + l - 338
What is the p'th term of 37281266, 37281285, 37281304?
19*p + 37281247
What is the c'th term of 150770, 150800, 150840, 150896, 150974, 151080, 151220?
c**3 - c**2 + 26*c + 150744
What is the x'th term of 1146, 1567, 2116, 2811, 3670, 4711?
3*x**3 + 46*x**2 + 262*x + 835
What is the c'th term of -2104, -4559, -7358, -10501?
-172*c**2 - 1939*c + 7
What is the o'th term of 5316, 5536, 5924, 6486, 7228, 8156, 9276?
o**3 + 78*o**2 - 21*o + 5258
What is the h'th term of 15373, 20696, 29567, 41986, 57953, 77468?
1774*h**2 + h + 13598
What is the d'th term of -2614, -10367, -23258, -41275, -64406, -92639, -125962?
2*d**3 - 2581*d**2 - 24*d - 11
What is the d'th term of 810, 2493, 4970, 8241, 123 | {
"pile_set_name": "DM Mathematics"
} |
= 14*c - 18343 - 18393. Is c a multiple of 32?
True
Suppose 0 = -30*s + 3116 + 3964. Is s a multiple of 63?
False
Suppose -3*v + 3 - 8 = 5*j, 20 = -4*v. Suppose 210 = 4*g + j*g. Is g a multiple of 35?
True
Let l = 68 + -69. Let z = 241 + l. Is 40 a factor of z?
True
Suppose -4*h - s + 1067 = 0, -s = h + h - 535. Is 29 a factor of h?
False
Let t(f) = -56*f**3 - f**2 + f + 2. Let q(m) = m**2 + 18*m + 16. Let b be q(-17). Is 28 a factor of t(b)?
True
Suppose s = 5*s - 3168. Is s a multiple of 33?
True
Suppose -2*a + 4*c = -4, -3*a + 4*c = 2*a - 10. Suppose 0 = a*r + 4*x - 70, -x - 73 = -3*r + x. Does 4 divide r?
False
Let f = -161 - -181. Is f a multiple of 5?
True
Suppose 7*s - 2140 = -796. Is 48 a factor of s?
True
Suppose j - 100 = -3*g, 2*j = 4*j - g - 200. Is 25 a factor of j?
True
Let k(q) = q**3 + 3*q**2 - 6*q - 2. Let n be k(-4). Suppose -123 = -2*p - 5*u, 3*u - 113 = -n*p + 4*p. Is p a multiple of 7?
True
Let o(x) = -x**2 + 10*x + 20. Let v be o(17). Let j = 191 + v. Does 46 divide j?
True
Let v(s) = s**2 + 5*s - 9. Let p be v(3). Does 27 divide 417/p - (-8)/(-10)?
True
Let m = -231 + 479. Is 8 a factor of m?
True
Let n be (-33)/11 - (-3 + 0). Suppose -8*b + 2*b + 156 = n. Let u = b + 30. Is 24 a factor of u?
False
Suppose 27440 = 103*n - 75*n. Is n a multiple of 7?
True
Let o = -677 - 810. Let j = o + 2575. Is (-4)/10 + j/20 a multiple of 27?
True
Suppose -10 = 4*f - 9*f. Let v(o) = -21*o - 26. Let p(r) = 7*r + 9. Let k(h) = f*v(h) + 7*p(h). Is 24 a factor of k(12)?
False
Let g(w) = w**2 - 9*w + 10. Let u be g(7). Let z(f) = f**2 - 3*f - 16. Is 2 a factor of z(u)?
True
Suppose 6*n - 11*n - 111 = f, 2*f - 3*n + 157 = 0. Suppose 3 = -3*v - 3. Is 1 + v + f/(-2) a multiple of 14?
True
Suppose 5*f = -5*d - 2 + 17, -4*d = -2*f - 24. Suppose 2*l = -d*x - 0*l + 64, -5*l = 3*x - 27. Let b = x + -11. Does 2 divide b?
False
Let m(y) = 56*y + 364. Is 75 a factor of m(31)?
True
Suppose -17 = 4*g - 3*g. Let j(z) = -3*z - 40. Is 3 a factor of j(g)?
False
Suppose -r + 2*g = -71, -4*r + 7*g + 269 = 2*g. Let c = 128 - r. Let k = c - 41. Is 6 a factor of k?
False
Suppose s + 1910 = 5*s - 2*p, 473 = s + 4*p. Is 8 a factor of s?
False
Let c(o) = o**2 + 20*o - 41. Does 14 divide c(23)?
False
Let v = 58 - 31. Suppose -j + 63 = -v. Is j a multiple of 15?
True
Let s = 50 - 52. Is (214/s)/(3/(-3)) a multiple of 23?
False
Let y(w) = -2*w**3 + 15*w**2 - 7*w + 5. Let c be y(7). Let o(v) = 3*v**2 - 7*v + 5. Is o(c) a multiple of 15?
True
Let y be (-149)/(-6) - 12/(-72). Suppose 0 = -22*i + y*i. Suppose i = -6*l + 129 + 141. Does 7 divide l?
False
Suppose 0 = 4*d + d + 70. Let k = 18 + d. Suppose 4*m - k = 0, 2*m - 3*m - 214 = -5*q. Is q a multiple of 12?
False
Let p = -62 + 254. Suppose 2*z = -z + p. Is 17 a factor of z?
False
Let s(u) = u - 21. Let i be s(23). Suppose i*c + 3 = 23. Is c a multiple of 2?
True
Suppose -2237 = -17*t + 3713. Does 46 divide t?
False
Let y(s) = -9*s - 147. Is y(-22) a multiple of 17?
True
Let i = -6 - -25. Let n = -16 + i. Is n a multiple of 2?
False
Suppose 0 = -7*y + 21*y - 336. Is 6 a factor of y?
True
Let l(g) be the third derivative of g**6/120 - g**5/10 + g**4/24 + 7*g**3/3 + 8*g**2. Let y be l(6). Is (-168 - 0)/((-30)/y) a multiple of 30?
False
Suppose 4*a = 2*x + 828, -434 = -2*a - 6*x + 2*x. Does 6 divide a?
False
Let h be (3 + 2)*(-8)/(-10). Suppose 5*j - 15 = 5*d, 5*j - h*d + 2*d = 21. Is 2 a factor of j?
False
Let i(m) = -4*m - 17. Let w be i(-5). Suppose w*q - 250 = q. Is q a multiple of 16?
False
Let f(u) = 5*u**2 - u. Let x be f(-1). Let j(k) be the third derivative of k**5/60 - k**4/6 + k**3/6 + 18*k**2. Does 6 divide j(x)?
False
Let u(o) = o**2 - 2*o - 5. Let k be u(-2). Suppose 2 = -k*d - 7. Does 6 divide d/((-483)/(-123) + -4)?
False
Suppose -5*g + 3*k = -1766, -g + 6*k - 7*k + 350 = 0. Is 22 a factor of g?
True
Suppose -4*r + 2*r + 256 = 0. Suppose -3*y + 43 = -r. Does 19 divide y?
True
Suppose 28*z - 39 = 27*z. Let r(n) = -2*n**3 - 7*n**2 - 6*n - 9. Let s be r(-6). Suppose z = -4*b + s. Is 7 a factor of b?
True
Suppose 0 = -z - 5*j + 1340, 5*j - 5 = -0*j. Does 39 divide z?
False
Suppose 30*c = 34*c - 1212. Let q = -128 + c. Is q a multiple of 35?
True
Let y(v) = -v**3 + 4*v**2 + 5*v - 2. Let r be y(4). Let g = r - 10. Is 8 a factor of g?
True
Let h(p) = p**2 - 6*p - 6. Let z be h(7). Suppose 3*d = 3*a + z - 4, -3*d - 4*a + 32 = 0. Is (d + 1 + 33)/1 a multiple of 11?
False
Let q = -195 + 323. Is q a multiple of 45?
False
Let o(d) = -5*d**3 - 3*d**2 + 20*d - 23. Let f(l) = 2*l**3 + l**2 - 7*l + 8. Suppose 0 = b + 6. Let u(c) = b*o(c) - 17*f(c). Is 11 a factor of u(-2)?
False
Suppose -241 = -2*y - 77. Suppose p + 9 = y. Is 4 a factor of p?
False
Suppose -o = 4*t + 74 - 664, 2*t - 302 = -4*o. Is 21 a factor of t?
True
Suppose -y = z - 479 - 277, 2*z = -3*y + 2266. Is 26 a factor of y?
True
Suppose v + 693 = 3*g, 4*g + 0*v + 5*v = 943. Does 32 divide g?
False
Let w = -62 - -3. Let x = -31 - w. Is x a multiple of 7?
True
Suppose 0 = 18*l + 46 + 26. Is 4 a factor of (3 + l + 2)/((-5)/(-560))?
True
Suppose 48 = 2*u - 8*n + 3*n, 4*u - 96 = -5*n. Is 3 a factor of u?
True
Let x(n) = n**3 + 2*n**2 - 4*n + 2. Let u be x(2). Let h be 6 + 5/(-1) + (-32)/(-8). Is 143/h + (-6)/u a multiple of 14?
True
Suppose 4*u + 418 = -2*q, 0 = 6*u - 2*u - 12. Let v = q + 395. Suppose -8*p + v = -5*p. Is 17 a factor of p?
False
Let y(w) = -w - 5. Let l(o) = o + 3. Let u(s) = 13*l(s) + 6*y(s). Suppose 0*k + 16 = 2*k. Does 10 divide u(k)?
False
Suppose -3*a = -2*a + 5, 3*v - 28 = 2*a. Does 13 divide (-4)/12 + 1406/v?
True
Let m(n) = 3*n**2 - 12. Let q be m(-8). Suppose 3*a - 630 = -3*x, x + 4*x = a - q. Does 41 divide a?
True
Let k = -47 - -49. Suppose -k*j + 120 = 3*j. Does 8 divide j?
True
Suppose 2*o - 36 = -7*o. Let h(r) = -11*r - 1. Let u be h(1). Does 14 divide (-506)/u + o/(-24)?
True
Let n be -75 - (1 - 6/2). Let x = 113 - -10. Let u = n + x. Is 14 a factor of u?
False
Let w be ((-2)/(-3))/((-2)/(-27)). Suppose 7*g = w*g - 4. Is 13 a factor of (g/4)/((-1)/(-110))?
False
Let u = -8 + -72. Is (u/(-12))/(2/24) a multiple of 40?
True
Let z(f) be the first derivative of -f**4/4 - 7*f**3/3 + 3*f**2 + 23*f - 53. Does 10 divide z(-10)?
False
Let s(g) = -6*g + 4. Let x be s(-3). Suppose x = -2*b + 3*w, 5*b + 0*b = -3*w - 34. Does 3 divide (-14)/(-3) - b/(-12)?
False
Suppose 6*x + 6 = 7*x. Is 7 a factor of 48 + -4 + x/(-3)?
True
Suppose 5*s - 60 = 25. Let x(n) = n**2 - 17*n + 10. Let l be x(s). Is (-175)/l*(-4 - -2) a multiple of 35?
True
Suppose -4*o = d - 3*d + 352, 5*d = 2*o + 192. Let l = o - -235. Is l a multiple of 24?
False
Let d = -19 + 19. Suppose d = -3*h - 2*n + 184, 5*n = -h - 0*n + 70. Does 30 divide h?
True
Let g(c) = 14*c + 3. Let f(n) = -n**2 + 9*n - 11. Let y be f(7). Is g(y) a multiple of 10?
False
Suppose 1930 = 2*v + 2*a + 358, 3*v = -a + 2354. Does 16 divide v?
True
Let f = 108 + 578. Does 38 divide f?
False
Let t(u) = -59*u + 4 - 41*u - 3. Let d be t(-1). Suppose 3*k - 3 = 0, 4*k + d = 4*c + c. Is c a multiple of 6?
False
Let h = 1271 + -304. Is 10 a factor of h?
False
Let f(b) = -16*b + 25*b - 13*b. Let z be f(-1). Suppose 0 = 2*r - 5*d - 65, z*d + 124 = 4*r - 0*d. Is 15 a factor of r?
True
Let a be 66/6 + -1*4. Suppose 0 = u - 3*l + 12, -4*u - l + 2*l + a = 0. Suppose u*q - 206 = -44. Does 9 divide q?
True
Suppose -600 = 9*s - 7*s. Let z = -52 - s. Is 8 a factor of 1/(4/z*2)?
False
Let y(b) = 2*b**2 + 17*b + 140. Is 4 a factor of y(-6)?
False
Let h be 0 + 3/9*0 - 86. Is ((-3)/(-2))/(h/44 - -2) a multiple of 25?
False
Let r(l) = l**3 + 21*l**2 + 38*l + 52. Is 64 a factor of r(-15)?
True
Suppose -13*c = -11*c. Suppose 5*l - 2*l - 426 = c. Let h = l + -84. Does 29 divide h?
True
Suppose a = -4*r - 2*a - 15, -10 = -4*r + 2*a. Suppose u - 6*u = o - 88, 3*u - 15 = r. Is 10 a factor of o?
False
Suppose 0 = -7*q - 1 + 22. Suppose -q*t - 3*f = -t - 19, 3*f = -4*t + 47. Is 2 a factor of t?
True
Suppose -r - r + 768 = 0. Let f = -256 + r. Is 13 a factor of f?
False
Let t(m) be the first derivative of m**3/3 - 5*m**2/2 + 6*m + 23. Does 9 divide t(12)?
True
Suppose 5*f + 2 = -2*b, -5*f - b = 2 + 4. Let u(h) = 9*h + 1. Let q be u(1). Does 18 divide (q - 8)*(-23)/f?
False
Suppose -2*u + 66 = -13*u. Is (-421)/u - 6/36 a multiple of 14?
T | {
"pile_set_name": "DM Mathematics"
} |
icked without replacement from qhqhqttjqtjjtqqjqqqq. What is prob of picking 3 t?
1/285
Two letters picked without replacement from xktxddxkdxxkkdt. What is prob of picking 2 x?
2/21
Two letters picked without replacement from {y: 3, v: 3}. What is prob of picking 2 y?
1/5
Three letters picked without replacement from uzhluflfo. Give prob of picking 1 h, 1 o, and 1 f.
1/42
What is prob of picking 1 u, 1 y, and 1 k when three letters picked without replacement from yykjhuy?
3/35
Three letters picked without replacement from {e: 1, s: 2, p: 5, d: 1, t: 1}. What is prob of picking 3 p?
1/12
Three letters picked without replacement from jnjnjjnnjjjnjjjjjjn. What is prob of picking 3 j?
286/969
Calculate prob of picking 1 g, 1 m, and 2 n when four letters picked without replacement from {r: 1, g: 1, m: 2, n: 4}.
6/35
Two letters picked without replacement from eveezvvee. Give prob of picking 2 e.
5/18
Four letters picked without replacement from {f: 7, h: 2, q: 4}. What is prob of picking 1 h and 3 f?
14/143
What is prob of picking 4 u when four letters picked without replacement from {s: 12, u: 3}?
0
Three letters picked without replacement from {l: 2, k: 2, d: 1, g: 1, x: 6}. What is prob of picking 2 k and 1 g?
1/220
Two letters picked without replacement from {r: 8, m: 5}. Give prob of picking 1 m and 1 r.
20/39
What is prob of picking 1 w, 1 l, and 1 d when three letters picked without replacement from {l: 11, w: 2, d: 2}?
44/455
What is prob of picking 1 i, 1 q, and 1 z when three letters picked without replacement from izqyyhzizyizzyiuy?
1/34
What is prob of picking 2 o when two letters picked without replacement from {o: 4, u: 3, c: 4}?
6/55
Two letters picked without replacement from oco. Give prob of picking 2 o.
1/3
Three letters picked without replacement from {l: 8, m: 5}. Give prob of picking 1 l and 2 m.
40/143
Four letters picked without replacement from lllllllvvllllvllvvl. What is prob of picking 3 v and 1 l?
35/969
Calculate prob of picking 2 y and 1 s when three letters picked without replacement from {y: 7, s: 3, h: 3}.
63/286
Two letters picked without replacement from ucuu. Give prob of picking 1 u and 1 c.
1/2
What is prob of picking 1 m and 1 z when two letters picked without replacement from {z: 1, e: 4, m: 5, p: 3, d: 1, f: 3}?
5/136
Calculate prob of picking 2 o and 1 b when three letters picked without replacement from wbmmjoro.
1/56
Calculate prob of picking 1 w and 2 q when three letters picked without replacement from {q: 2, w: 1, l: 2}.
1/10
What is prob of picking 1 q and 1 a when two letters picked without replacement from qmgqsaqqqsgq?
1/11
Three letters picked without replacement from {n: 2, f: 3, s: 3, c: 2, l: 1, k: 1}. What is prob of picking 1 l, 1 c, and 1 n?
1/55
Three letters picked without replacement from dtddqdttqd. Give prob of picking 1 t and 2 q.
1/40
Four letters picked without replacement from zrrrzriii. Give prob of picking 2 i and 2 z.
1/42
Two letters picked without replacement from {o: 3, r: 1, t: 1}. What is prob of picking 2 o?
3/10
Two letters picked without replacement from ippibbggbbp. What is prob of picking 2 b?
6/55
What is prob of picking 2 t when two letters picked without replacement from ttvt?
1/2
Calculate prob of picking 1 w and 1 u when two letters picked without replacement from {z: 1, a: 2, v: 2, u: 4, w: 1}.
4/45
Two letters picked without replacement from {h: 1, l: 1, z: 1, n: 1, s: 2, a: 1}. Give prob of picking 1 n and 1 h.
1/21
Three letters picked without replacement from wjwjhhhwhjhwhjhw. What is prob of picking 3 j?
1/140
Three letters picked without replacement from {c: 7, d: 3, r: 2, j: 1, g: 1}. What is prob of picking 1 j and 2 d?
3/364
Calculate prob of picking 4 k when four letters picked without replacement from {k: 9}.
1
Three letters picked without replacement from {s: 5, w: 5, u: 8}. What is prob of picking 1 w and 2 s?
25/408
Calculate prob of picking 3 k when three letters picked without replacement from kskkkssskskks.
35/286
Two letters picked without replacement from rrrrrorrrrrrrrrrrrr. Give prob of picking 1 o and 1 r.
2/19
Three letters picked without replacement from {x: 8, j: 5}. What is prob of picking 2 x and 1 j?
70/143
What is prob of picking 1 y and 1 j when two letters picked without replacement from {b: 12, y: 3, j: 3}?
1/17
Calculate prob of picking 1 x and 1 o when two letters picked without replacement from {o: 2, x: 2}.
2/3
Four letters picked without replacement from {t: 3, e: 1, z: 3, u: 5}. What is prob of picking 1 z and 3 t?
1/165
Calculate prob of picking 2 j and 1 i when three letters picked without replacement from ijijijjjiiiii.
40/143
Calculate prob of picking 1 g and 1 a when two letters picked without replacement from {o: 1, n: 1, g: 2, a: 1}.
1/5
Four letters picked without replacement from {v: 4}. Give prob of picking 4 v.
1
Four letters picked without replacement from wttwwvvvwdwwwt. What is prob of picking 2 t, 1 w, and 1 v?
9/143
What is prob of picking 2 d and 1 g when three letters picked without replacement from {t: 2, d: 10, g: 3}?
27/91
Calculate prob of picking 1 g, 1 e, and 1 r when three letters picked without replacement from wwreewwgwwwwww.
1/182
Three letters picked without replacement from ooyyosp. Give prob of picking 1 s and 2 y.
1/35
Four letters picked without replacement from {b: 2, y: 3, d: 2, j: 4}. Give prob of picking 2 b, 1 d, and 1 j.
4/165
Two letters picked without replacement from lllllllllmlllllllmlm. What is prob of picking 2 m?
3/190
Two letters picked without replacement from kvlkvelvvllvrev. Give prob of picking 1 l and 1 r.
4/105
What is prob of picking 1 i and 1 x when two letters picked without replacement from ixxxxxxixxxx?
10/33
Two letters picked without replacement from vyrpkyb. What is prob of picking 1 v and 1 k?
1/21
Calculate prob of picking 1 d and 1 e when two letters picked without replacement from ccerd.
1/10
Two letters picked without replacement from qqqxqqqqqxqqqqqqxq. Give prob of picking 2 x.
1/51
What is prob of picking 1 d, 2 v, and 1 a when four letters picked without replacement from {r: 2, k: 1, d: 1, i: 1, a: 1, v: 2}?
1/70
Two letters picked without replacement from pnpnnn. What is prob of picking 2 p?
1/15
Four letters picked without replacement from {z: 4, b: 3, x: 1}. What is prob of picking 4 z?
1/70
What is prob of picking 1 n, 2 v, and 1 l when four letters picked without replacement from {h: 1, y: 2, n: 3, l: 3, j: 3, v: 2}?
9/1001
Calculate prob of picking 1 t and 1 o when two letters picked without replacement from xtoktoxxnootnonnokon.
21/190
Three letters picked without replacement from ccaacag. Give prob of picking 1 a and 2 c.
9/35
Two letters picked without replacement from {l: 3, v: 3}. What is prob of picking 2 v?
1/5
Two letters picked without replacement from tttttt. Give prob of picking 2 t.
1
Four letters picked without replacement from eeekkeelkkkq. What is prob of picking 1 k, 2 e, and 1 l?
10/99
What is prob of picking 2 f, 1 v, and 1 e when four letters picked without replacement from bbhevvhbfhfefvefbbke?
24/1615
Four letters picked without replacement from hccihhhihcchhch. What is prob of picking 2 h and 2 c?
8/39
Calculate prob of picking 1 p and 1 v when two letters picked without replacement from vvpvvvpvvvp.
24/55
Calculate prob of picking 2 d and 1 j when three letters picked without replacement from {u: 9, d: 3, j: 4}.
3/140
What is prob of picking 1 k and 2 y when three letters picked without replacement from {l: 2, m: 2, y: 2, k: 2}?
1/28
Two letters picked without replacement from babbbbbb. What is prob of picking 1 b and 1 a?
1/4
Three letters picked without replacement from nlnll. What is prob of picking 3 l?
1/10
Two letters picked without replacement from {e: 1, t: 2, o: 1, f: 1, z: 2}. What is prob of picking 1 f and 1 o?
1/21
Calculate prob of picking 2 t and 1 g when three letters picked without replacement from mtgtggttgmmgg.
18/143
Two letters picked without replacement from snsn. What is prob of picking 2 n?
1/6
Four letters picked without replacement from {f: 1, x: 1, i: 2, a: 3}. Give prob of picking 3 a and 1 f.
1/35
Three letters picked without replacement from kkkkkkkkkk. What is prob of picking 3 k?
1
Two lette | {
"pile_set_name": "DM Mathematics"
} |
?
9903334
What is the least common multiple of 7 and 836703?
836703
Calculate the least common multiple of 14196 and 153510.
51886380
What is the lowest common multiple of 101136720 and 165360?
1314777360
What is the common denominator of 101/9323490 and 93/6215660?
18646980
Find the common denominator of 83/44983240 and -29/6.
134949720
What is the common denominator of 59/31980 and 149/20670?
1694940
Calculate the lowest common multiple of 1890 and 20698440.
186285960
Find the common denominator of -133/3656202 and 1/297.
32905818
What is the smallest common multiple of 11712 and 11044416?
11044416
What is the common denominator of -107/7118540 and 59/684475?
35592700
Calculate the smallest common multiple of 109005 and 60.
436020
Find the common denominator of -211/54510120 and 86/44970849.
1798833960
What is the least common multiple of 720 and 864?
4320
Calculate the smallest common multiple of 69650 and 125209805.
1252098050
What is the common denominator of 25/3983607 and -31/2?
7967214
Calculate the common denominator of -109/392920 and 131/96.
4715040
Calculate the least common multiple of 5856 and 201892.
295569888
What is the smallest common multiple of 5870 and 33775980?
33775980
Calculate the smallest common multiple of 12015 and 39249.
588735
Calculate the lowest common multiple of 12 and 5580867.
22323468
What is the lowest common multiple of 12755625 and 150?
25511250
Find the common denominator of -33/2976676 and 34/1149.
8930028
Calculate the lowest common multiple of 797550 and 127608.
3190200
Calculate the common denominator of -167/2417226 and 19/588.
33841164
What is the lowest common multiple of 2725146 and 102?
46327482
What is the common denominator of 24/164933 and -9/39491?
2803861
Find the common denominator of 23/44832 and -127/4428.
16543008
Calculate the common denominator of -99/1033558 and -27/148.
2067116
What is the common denominator of 105/4572376 and -41/15624?
288059688
Calculate the least common multiple of 191730 and 22940.
439828620
Find the common denominator of 121/12202866 and 101/20338110.
61014330
Find the common denominator of 41/33031944 and -113/103104.
264255552
Calculate the lowest common multiple of 35 and 5213355.
5213355
Find the common denominator of -1/104923130 and -8/490295.
104923130
Find the common denominator of 97/39369330 and -125/24472.
157477320
Calculate the common denominator of 26/42614627 and 13/7748114.
85229254
What is the least common multiple of 342 and 1702224?
32342256
Find the common denominator of 77/344535 and 1/1653768.
8268840
Calculate the smallest common multiple of 10 and 4614870.
4614870
What is the common denominator of 51/4927390 and 101/2900?
49273900
Calculate the lowest common multiple of 142140 and 10197.
4690620
What is the least common multiple of 175488376 and 6?
526465128
Calculate the common denominator of -22/2083021801 and 62/9.
18747196209
What is the least common multiple of 122825 and 339065?
489948925
Calculate the lowest common multiple of 341884 and 143249396.
143249396
What is the common denominator of 43/1130449 and 44/4437?
10174041
What is the least common multiple of 144067 and 1545446?
16999906
Calculate the common denominator of 87/110 and -97/8501588.
467587340
What is the smallest common multiple of 2668 and 3104392?
71401016
What is the common denominator of -11/1865770 and -41/805?
300388970
What is the smallest common multiple of 5101388 and 22?
56115268
What is the common denominator of -97/128940 and 99/5565910?
33395460
Calculate the lowest common multiple of 7170410 and 4446.
64533690
Calculate the least common multiple of 54852 and 588.
383964
Calculate the least common multiple of 10476 and 216.
20952
Calculate the lowest common multiple of 1277937 and 14094.
74120346
Calculate the lowest common multiple of 3017456 and 92560.
15087280
Calculate the smallest common multiple of 720 and 812620.
29254320
Calculate the smallest common multiple of 529890 and 2463.
435039690
What is the least common multiple of 540488 and 4888?
25402936
Calculate the common denominator of 31/100 and -29/6130272.
153256800
Find the common denominator of 139/2626740 and 131/120.
5253480
Calculate the smallest common multiple of 358 and 33835.
12112930
What is the smallest common multiple of 3174 and 695241?
735564978
Calculate the common denominator of 71/830844 and -27/3140.
4154220
What is the common denominator of -13/1369708112 and 97/24?
4109124336
Calculate the least common multiple of 1488710 and 37366621.
373666210
What is the common denominator of -64/115905 and 44/10305?
79626735
What is the least common multiple of 3733080 and 40950?
391973400
What is the smallest common multiple of 231 and 10669?
2464539
Calculate the common denominator of -119/702 and -7/2730078.
2730078
What is the lowest common multiple of 31317 and 13278408?
13278408
What is the least common multiple of 1363984 and 596743?
9547888
Find the common denominator of -79/27174800 and 63/53024.
54349600
What is the lowest common multiple of 119772 and 1057986?
6347916
What is the common denominator of -70/999 and -133/7711362?
285320394
What is the common denominator of 33/2933714 and 109/46740?
88011420
What is the lowest common multiple of 1726095 and 5178285?
5178285
What is the common denominator of -53/26491215 and -8/21?
185438505
Find the common denominator of 59/8127 and -59/457520.
12353040
Find the common denominator of -149/16512 and 77/38184000.
76368000
Calculate the common denominator of 23/26676 and -99/25172.
167872068
Calculate the common denominator of 16/2710725 and -145/3666.
70478850
Calculate the least common multiple of 10518657 and 1207059.
73630599
Find the common denominator of 59/6007872 and 145/6384.
799046976
Calculate the least common multiple of 34653 and 88607721.
88607721
Find the common denominator of 83/56745 and 59/3042.
1475370
Calculate the least common multiple of 28980 and 118230.
16315740
Calculate the lowest common multiple of 4664610 and 10365800.
93292200
What is the least common multiple of 30550 and 100157?
65102050
Calculate the least common multiple of 534528 and 48998400.
146995200
What is the least common multiple of 20790 and 127215?
5343030
What is the common denominator of 21/505 and 40/122109?
610545
What is the common denominator of -83/16 and 1/262736796?
1050947184
Find the common denominator of 73/143808 and -19/192.
143808
What is the smallest common multiple of 21189684 and 623226?
21189684
Calculate the lowest common multiple of 1626 and 1273344.
345076224
Calculate the least common multiple of 342902596 and 1009.
342902596
Calculate the least common multiple of 1309680 and 1527960.
9167760
Calculate the lowest common multiple of 1750 and 79960.
13993000
Calculate the common denominator of -107/125448440 and -103/1135280.
250896880
What is the smallest common multiple of 475 and 247400?
4700600
Calculate the smallest common multiple of 14571900 and 4050.
14571900
Find the common denominator of -173/25020 and -49/860688.
4303440
Calculate the smallest common multiple of 55 and 2981880.
2981880
What is the lowest common multiple of 32600 and 5264900?
10529800
Calculate the common denominator of 61/1173165 and 59/1749.
683955195
Calculate the lowest common multiple of 84570003 and 3240230.
845700030
What is the lowest common multiple of 4343 and 81141?
8195241
Calculate the common denominator of -11/415396 and -101/15776.
56493856
Calculate the least common multiple of 65349 and 279.
2025819
Calculate the common denominator of 69/1144 and -59/8217664.
90394304
What is the common denominator of 83/11890 and -87/81590?
2366110
Calculate the common denominator of 52/1450967 and -23/36579.
4352901
Calculate the smallest common multiple of 12 and 40321768.
120965304
Find the common denominator of 75/5728 and -59/461104.
922208
Find the common denominator of 47/71700 and -151/544920.
2724600
What is the smallest common multiple of 1224622 and 56?
4898488
Calculate the common denominator of 89/38442 and 35/48031.
42939714
Calculate the smallest common multiple of 8 and 9871836.
19743672
Calculate the lowest common multiple of 2583 and 301021.
111076749
Find the common denominator of -88/441 and 109/94006304.
846056736
| {
"pile_set_name": "DM Mathematics"
} |
or of l and 5/4.
12
Let z = -106 + 195. Suppose -z = 4*c + 55. Calculate the common denominator of (6/c)/((-1)/67) and -19/14.
42
Let n = -3 + 35. Suppose 8221*a - 8239*a = -36. What is the least common multiple of n and a?
32
Suppose -5*r + n + 24 = 0, 4*n = -4*r + r - 4. Let m = r - -4. What is the smallest common multiple of 22 and m?
88
Let f = 1051/10 - 105. Calculate the common denominator of -77/30 and f.
30
Let z be 2/4 - (-19)/(-2). Let k be z/4343*(-1)/(-3). Let u = 152107/147662 + k. Calculate the common denominator of u and -95/8.
136
Suppose n = -3*a + 49, -56 = -a - 3*a + n. Let x = 12 + 12. What is the least common multiple of x and a?
120
Let p = -14 + 0. Let h = 29 + p. What is the smallest common multiple of 9 and h?
45
Let j be 10/4*(-1 + 3). What is the common denominator of ((-24)/(-28))/(j/70) and -37?
1
Suppose 0 = -q - 0*q - 1, -4*q - 1012 = a. What is the lowest common multiple of 32 and a/(-96) + (-2)/4*-3?
96
Let j = 11535 - 692077/60. Find the common denominator of j and 151/60.
60
Let h = 27 + -29. Calculate the least common multiple of h - 6/(-4)*10/3 and 5.
15
Find the common denominator of (19/20*-1)/(10/(-120)) and -41/4.
20
Let q = 1400 + -1395. Suppose 4*o - 35 = 1. What is the lowest common multiple of o and q?
45
Suppose 5*o + 20 = 0, 13 + 3 = i - o. What is the lowest common multiple of 94 and i?
564
Let w = 8761738909243/7788 - 1125030675. Let n = w + -1/649. Find the common denominator of n and 83/10.
60
Let i = -6969/11 + 635. Let f = -3017/65 - -450/13. Find the common denominator of f and i.
55
Suppose 4*x - 4*f = 60, -x - 50*f + 46*f + 10 = 0. Suppose 4*z - 10 = 2*z, 3*z - 5 = 5*d. Calculate the smallest common multiple of d and x.
14
Let k = -3381 + 33763/10. Let s = 1172 + -2269/2. What is the common denominator of s and k?
10
Suppose 3*z + 20 = 7*z. Suppose -2*q + 2*k - 3 = 3, -z*k = -4*q - 17. What is the least common multiple of 1 and q?
2
Suppose 12 = r - 2*q, -4*r - q + 6 + 15 = 0. Calculate the common denominator of -43/12 and (-9)/2 + 3 + (-134)/r.
12
Let b = -56 + 59. Suppose 6*u = 4*u - 16. What is the lowest common multiple of b and -11 - u - (-46)/2?
60
Suppose 3*a + 0*a + 2*d - 3 = 0, -5*a - 2 = d. Calculate the smallest common multiple of (a - (0 - 2)) + (31 - 28) and 1.
4
Find the common denominator of (9 - 94/(-16)) + -8 and 41/176.
176
Let n = 2198/9 + -241. Let q = 4567/5 - 906. What is the common denominator of q and n?
45
Let d(r) = r**3 - 41*r**2 + 44*r - 126. What is the smallest common multiple of d(40) and 2?
34
Suppose 0 = -4*h + n + 2*n + 54, -5*h = 2*n - 56. Let q be 45351/h + 2/4. Let p = 3756 - q. Find the common denominator of 1/5 and p.
20
Suppose f - 2*f - 1134 = -u, 5*u = 3*f + 3410. Let d = -2357/2 - f. Find the common denominator of d and 123/10.
10
What is the common denominator of 65/56 and 618/(-18)*(892/224 - 4)?
168
Let x = 16636453579/569 - 29238093. Let s = 1/1138 + x. Calculate the common denominator of -53/4 and s.
4
Suppose 30 = 5*l + l. Suppose 27 = l*k - 18. Calculate the least common multiple of k and 6.
18
Calculate the smallest common multiple of (188/141)/((-4)/3) + 277 and 30.
1380
Suppose 28*y = 44*y - 64. What is the lowest common multiple of y and 115?
460
Let o = 871817/54285 + -530/33. Let x = 41117/13160 - o. Calculate the common denominator of 214/36 + (-2)/2 and x.
72
Let n = 34 - 30. What is the smallest common multiple of 8 and (n + -1 + -2)*6?
24
Find the common denominator of (-112)/84*(-354)/(-16) and (-1)/3 + 205/(-42).
14
Let u(t) = t**3 - 13*t**2 + 2*t - 14. Let p = 8 - 6. Suppose -z - 1 = 3*x - 14, -3*x - p = 4*z. Calculate the smallest common multiple of u(13) and x.
12
Suppose -2*k - 9 = 3*f - 19, 0 = 4*k + 16. Suppose -x + 0*x + 4*u - 3 = 0, u - 12 = -2*x. Calculate the least common multiple of x and f.
30
Let l(j) = 12*j + 21. Let g be l(-5). Let h = 56 + g. Find the common denominator of h and 12/5.
5
Suppose 10 - 170 = -4*n. Let a = -26 + n. What is the smallest common multiple of 14 and a?
14
Let j = -5419/966 + -91/69. Let c be (-1572)/304*(-4)/(-6). Let q = c - 1/19. What is the common denominator of j and q?
14
Suppose -12*f - 114*f = -8064. Calculate the lowest common multiple of 10 and f.
320
Calculate the common denominator of (-2)/(-3) - (-4390)/(-1500) and 54/5.
50
Let f = 1333/14 + -749/8. What is the common denominator of f and 65/88?
616
Let g = -38 - -55. Let d(z) = 5 + 0 - 2 + 2 - z**3 + g*z**2. Calculate the least common multiple of 9 and d(17).
45
Let f = 185 - 216. What is the common denominator of -37/277 and f?
277
Let u(x) = -x**2 + 9*x + 13. Let v be u(10). Suppose v*o - q - 41 = 0, -4*q - 5 = 15. What is the least common multiple of o and 296?
888
Let o be (-1310)/(-2920) - 1/(-4). Let d = -3943/730 - o. What is the common denominator of 37/12 and d?
60
Let j(p) = p**3 + p**2 - p + 20. Let f be j(0). Let m be (f/(-50))/(4/10). Find the common denominator of m + -1 - (-375)/(-36) and 85/8.
24
What is the common denominator of -6*7/28 - 151/(-44) and 65/2?
44
Let v(m) = m**2 + 3*m + 3. Let y be v(-3). Suppose y*f - 24 = f. What is the lowest common multiple of 33 and f?
132
Let l = -75 + 77. Calculate the smallest common multiple of 20 and (-2 - -2 - l)/((-2)/188).
940
Let u = 19 - 44. Let g = -918 + 922. What is the least common multiple of g and (3/15 - 1)*u?
20
Let i(o) = -o**3 + 21*o**2 - 21*o + 22. Calculate the smallest common multiple of i(20) and 40.
40
Calculate the common denominator of (-56)/(-8) + 664/(-60) and -71/369.
1845
Suppose 6*o - 8*o = 2. Find the common denominator of 54/5 and o/3 + (-1256)/(-72) + -9.
45
Let r = -1655 + 8283/5. Find the common denominator of r and 38/261.
1305
Let j = 60 - 36. Let q = -35 + j. Let p = q + 20. Calculate the smallest common multiple of 3 and p.
9
Let b(o) = -1 - 4*o**2 + 5*o**2 + 0 + 8*o**3. Let x = -5 + 6. Calculate the lowest common multiple of 3 and b(x).
24
Suppose 2*i + 6 = 4*i. Suppose -i*q - 9 = -33. What is the smallest common multiple of (10 - 2 - 2) + -4 + 2 and q?
8
Let s be 0*(15/5 + -4). Suppose -x + 5*d + 13 = s, -3*d - 3 = 2*x - 16. Calculate the least common multiple of x and 9.
72
Suppose -514 - 366 = -22*t. What is the least common multiple of t and 280?
280
Suppose 5*o - 35 = -0*o + i, 5*o - 60 = -4*i. Suppose 58 = 5*s + o. What is the lowest common multiple of 2 and s?
10
Find the common denominator of 91/178 and 12/(-5)*(2 + (-126)/(-27)).
178
Suppose -4*q + m = -17, q + 2*m - 11 = -0*q. Suppose -20 = q*n - 130. Let i = n - 17. What is the smallest common multiple of 6 and i?
30
Let k be (-6)/(-27) + (2 - (-65044)/(-29124)). Let a = -26877/16180 - k. Find the common denominator of -63/44 and a.
220
Suppose -7*s - 423 = 2*s. Let v = s + 51. What is the smallest common multiple of v and 0 - (3 + -5)*4?
8
Let h = -1418362 - -21264748/15. Let r = 1423/2 + h. Find the common denominator of 46/3 and r.
30
Calculate the common denominator of (-18)/2 - (-39030)/4350 and -157/30.
870
Suppose -5*r + 7 = -j - 1, 4*r - 16 = -4*j. What is the smallest common multiple of 94 and r?
94
Let n = 1784 + -1676. What is the smallest common multiple of 396 and n?
1188
Suppose -3*z + z + 3*h = 22, 5*h - 35 = 3*z. Calculate the lowest common multiple of 4 and (z + -6)/((-5)/10).
44
Suppose 3*m - 2*y = -0*y + 34, 4*m + 3*y - 17 = 0. Let t(o) = o**2 + 7*o - 37. Let d be t(-10). Let z = d + 85. What is the lowest common multiple of z and m?
312
Let s(j) = -j**3 + 2*j + 1. Suppose 139 - 149 = -r. What is the least common multiple of s(-2) and r?
10
Suppose -9 = -2*u + 9. Suppose i - u = -5. Suppose -i*y = -4 - 4. Calculate the lowest common multiple of y and 10.
10
Let k = 728 - 718. Calculate the least common multiple of 538 and k.
2690
Calculate the lowest common multiple of 5 - 2704/(-24) - (-2)/(-3) and 15.
585
Let v = 447 - 361. Calculate the lowest common multiple of v and 22.
946
Calculate the common denominator of -15/2 and 2300/1768 - (8/26)/2.
34
Find the common denominator of (-1851)/(-270) + (-14)/105 and 77/30.
90
Find the common denominator of 1/6 - 16409/7320 and -71/16.
80
Let x = -55 + 60. Suppose -x*o - q = -367, 4*o - q + 36 = 335. Calculate the smallest common multiple of o and 5.
370
What is the least common multiple of 4/((-16)/20) | {
"pile_set_name": "DM Mathematics"
} |
e 0 = -d - u*d for d.
0
Let w(u) = -u**2 + 6*u + 1. Let p be w(6). Let h = -12 - -16. Suppose -h*a = -13 + p. Solve a*n + 4 = -2 for n.
-2
Let q(s) = -s**2 + 6*s + 7. Let z be q(7). Suppose 3*b - 5*b = z. Solve 2*r + r - 6 = b for r.
2
Let d be (3/(-5))/((-1)/5). Solve -d*z = -15 + 6 for z.
3
Let q be 5/(-3) - (-2)/(-6). Let t = q + 2. Suppose 3*d - 4*d + 37 = -5*k, -2*d = 3*k - 9. Solve 4*i + t*i = -d for i.
-3
Suppose n + 0 - 1 = 0, -10 = -5*i + 5*n. Let s = 3 - i. Solve d - 6 + 1 = s for d.
5
Let z = -10 + 15. Let l be ((-6)/z)/(3/(-15)). Solve -1 = 5*b - l for b.
1
Suppose 4*m = -0*m. Suppose 2*t - 7*t + 25 = m. Solve 0 = -t*f + 2 + 23 for f.
5
Suppose 3*n - 79 = 41. Suppose 2*x - 4*y = -2*x + n, 5*x + 4*y = 5. Suppose x*m + 3*d - 37 = 0, 3*d = 3*m + 2*m - 13. Solve -8 + 3 = -m*z for z.
1
Suppose -3*z = -z - 4. Suppose -z*o + 68 = 5*k, k = -o + 21 - 5. Suppose s - k = -s. Solve -26 + s = 5*l for l.
-4
Let g(c) = c**2 - 3*c. Let w be g(4). Suppose x - 3*u + 24 = -3*x, w*x - 2*u + 20 = 0. Let n be -3 - (-9 + 0/x). Solve 4*k = 22 - n for k.
4
Suppose 0 = y + 3*y + i - 19, 0 = y - i - 1. Suppose -3*g - y*z + 12 = -5*g, 21 = 4*g + z. Solve -t = t + g for t.
-2
Let r be (-1)/(-3) - (-32)/3. Let c = r + -7. Solve -5*d = -21 - c for d.
5
Let c be (-2 - 20/(-12))*-9. Solve -25 = -2*w - c*w for w.
5
Let i be 8/6 + 4/6. Solve 2*y = -i - 6 for y.
-4
Let o = -4 - -6. Suppose o*m = -5*z + 55, z = -4*m + 4*z + 71. Suppose -6*y = -2*y - m. Solve i - y = -1 for i.
4
Let w be 2 + (-3 - (-3 + 1)). Solve -w = 3*o + 11 for o.
-4
Let i = -82 - -142. Suppose 4*t - 8*t + i = 0. Solve -6 = 3*f - t for f.
3
Let j(x) = x**2 + 4*x + 2. Let u be (-6 - -2)/(2/2). Let h be j(u). Let q be h*-3*(-4)/6. Solve -q*p = -0 - 4 for p.
1
Let g be ((-1)/(-2))/(3/24). Suppose -15 = -g*p - p. Solve -t - p*t = -20 for t.
5
Suppose 2*k = i + 4, 4*i = 2*k + 1 - 5. Solve 2*t - 1 + 5 = i for t.
-2
Suppose -2*x + 6 = 4*f, 8*x + f - 5 = 4*x. Solve 4 = -c + x for c.
-3
Suppose o = a, 3*a + 4 = 4*o - 1. Let i(w) = -2*w + 5. Let t be i(4). Let k = a + t. Solve s - k*s - 5 = 0 for s.
-5
Let m(l) = -l**3 + 3*l**2 + 3. Let p be m(3). Solve -p = -g + 2 for g.
5
Let d = 1 - -2. Suppose d*i - 7 = -1. Solve j - i*j - 2 = 0 for j.
-2
Let d(u) = -u - 3. Let m be d(-6). Let r(w) = -w**3 + 2*w**2 - 1. Let k be r(1). Solve m*s - s = k for s.
0
Suppose -a - 15 = -6*a, 2*u = 5*a - 15. Suppose -13 - 7 = -5*h. Solve -h*w = -u*w for w.
0
Let t(k) = 2*k + 7. Let u be t(4). Solve -u = -h + 6*h for h.
-3
Suppose 4*w = 9*w. Solve -z - 2*z + 6 = w for z.
2
Let i(k) be the first derivative of k**4/4 - 3*k**3 + 7*k**2/2 + 10*k + 4. Let g be i(8). Solve j - 12 = -g*j for j.
4
Suppose 0 = 3*o + o. Suppose -5*y + 28 = -2*y - v, 28 = 5*y + 3*v. Suppose -2*k = 3*u + u - 6, -2*u + 4*k + y = 0. Solve -i + o = -u for i.
2
Let f(q) = 6*q + 9. Let z = 13 + -19. Let n be f(z). Let v be 3*3/n*-3. Solve j - v = -4 for j.
-3
Suppose 5*c - 12 = 3. Suppose -c*s = -s. Solve -3*f + 3 = -s for f.
1
Let w(y) = y + 8. Let r be w(-5). Suppose 0 = -p + b, -r*b + 10 = 2*b. Solve -p*h - h = -12 for h.
4
Suppose 0 = 4*v - 9 - 23. Suppose -4*g + v = -0. Solve -g*z = z + 12 for z.
-4
Let y be (-2)/4*1*-6. Solve -y = -p - 2*p for p.
1
Suppose -3*s - p = -3, -s - 4*p = 13 - 3. Let z be -3 - (-3)/2*s. Solve -2*l + 9 - 1 = z for l.
4
Suppose -23 = -4*f + 5*n, 0*f + 4*n = f - 14. Solve 0*m - f*m + 10 = 0 for m.
5
Suppose 4*y - 16 = 3*y. Suppose -2*x = -2*n + 3*n - 8, 2*n - y = x. Let k(j) = -3*j**2 + 35*j - 18. Let r be k(11). Solve n*t - r*t = 8 for t.
2
Suppose 9 = -2*s + 1, 0 = -3*o + 5*s + 80. Solve -7*i + 3*i - o = 0 for i.
-5
Let u(o) = o**3 + 9*o**2 - 2*o + 12. Let j be u(-9). Let n be 1/((-1)/(-1)) + 9. Let k = j - n. Solve s - k = -3*s for s.
5
Suppose -4*c - 1 = -13. Suppose 5*j - 63 = c*z + 9, 2*z = 4*j - 56. Solve -3*y = -0*y - j for y.
4
Let i = -45 - -40. Let c(f) = 6*f + 0*f**3 + 8 - 1 + 6*f**2 + f**3. Let k be c(i). Solve 0 = k*q + 1 - 7 for q.
3
Suppose -5*p - 9 = -44. Solve 0 = v - 3 + p for v.
-4
Let p be -4 + (5 - 0) + 1. Solve p*k - 17 = -9 for k.
4
Let n = 11 - 18. Let p(h) = h + 5. Let l be p(n). Let j = l - -4. Solve -7 = j*v + 1 for v.
-4
Let h(b) = b**2 - b + 1. Let x(m) = m**2 - 15*m + 20. Let d(l) = -2*h(l) + x(l). Let r be d(-14). Solve -1 = u - r for u.
3
Suppose 2*v - 8 = 32. Solve -4*o - o = v for o.
-4
Suppose l + 14 = 2*f, -5*f - 2*l = -3*f - 26. Solve -4*i - f = -i for i.
-3
Let l = 2 + 5. Let y(g) = -g**2 + 8*g - 2. Let k be y(l). Suppose 0 = -k*u - 0*u. Solve u*c = c for c.
0
Suppose -3*n + 5*f + 6 = 0, -3 = -2*n - 2*f + 1. Suppose 10*u = 7*u. Solve q - n*q = u for q.
0
Let c = 25 - 21. Suppose 0 = t + 3*t - 20. Suppose 2*p + 2 - 16 = 0. Solve -c*w + p + t = 0 for w.
3
Suppose i + 3*c - 20 = 0, -5*i - 3*c = c - 45. Let q be (i + -2)*(-2)/(-3). Solve q = -3*y - 1 for y.
-1
Suppose 5*o + 9 = 2*o. Let i(a) = a**2 + 3*a + 3. Let g be i(o). Suppose z - 4 = -0*z - t, -t = -g*z. Solve 3*j - 2 = z for j.
1
Let v be -3 - (-30)/8 - (-6)/(-8). Solve 4*w = -4 - v for w.
-1
Let y be 0 - 3/(9/(-30)). Let m be 75/y*(-4)/(-6). Suppose m*h - 25 = -5. Solve 3 = -h*r - 5 for r.
-2
Let b(q) = q**3 - 6*q**2 + 4*q + 5. Let s be b(5). Suppose -2 = -n, -2*n + s = -2*o + 10. Let t = o - 3. Solve 0 = -t*i + 3*i + 2 for i.
2
Let f = 166 + -154. Solve -5*i - f = 13 for i.
-5
Let n be 85/25 - (-6)/(-15). Solve 0*d = n*d for d.
0
Let h = 23 - 15. Suppose -u - 3*g = -h*g + 9, 5*u - g - 3 = 0. Solve -u = -3*i - 13 for i.
-4
Suppose 6*l = 8 + 4. Solve 5*c - 27 + l = 0 for c.
5
Let r(w) = w. Let b be r(0). Suppose -z + 4*k = 3 - 10, -4*k = 4*z - 8. Let f be 2*z*(-8)/(-12). Solve b = u + f*u - 5 for u.
1
Let w(v) = 2*v - 15. Let n be w(9). Let r be (-15)/(-9) - (-1)/3. Solve n = -o - r*o for o.
-1
Let g(c) = -3*c - 5 + c + 2*c**2 + 3*c + 2*c. Let z be g(-4). Solve v - 4*v - z = 0 for v.
-5
Let o = 2 + -1. Let d be (((-200)/(-5))/5)/2. Solve x + o = -d for x.
-5
Let b = -8 + 14. Suppose 2*a + 3 - 5 = 2*f, 0 = 2*a - 4*f + 6. Suppose -a*d = -c + 4, 20 = 5*c - 6*d + 2*d. Solve -2 - b = c*t for t.
-2
Let f be (-3)/(4/((-512)/(-12))). Let m be (-1 + f/4)/(-1). Solve 0*n = -3*n + m for n.
3
Let z = -4 + 7. Solve z*j = 4*j + 2 for j.
-2
Suppose 3 = 4*y - 17. Suppose 0 = 5*r - y - 15. Solve -r*j + 0 = 4 for j.
-1
Let s be (-1 - 0)*(3 + -10). Let l be (1 + -17)*s/(-14). Solve -b - l = 3*b for b.
-2
Suppose -4*s + s = 4*g - 8, 4*g = -4*s + 4. Solve g = -2*a - 3*a for a.
-1
Let q = -67 + 70. Solve 13 - q = -5*y for y.
-2
Let x = -10 + 28. Solve 5*o + x - 3 = 0 for o.
-3
Suppose 3*j - 54 = -0*j. Suppose 2*k + 2*a + j = -3*k, -4*a + 16 = -3*k. Let g = k - -6. Solve -m + g = -3*m for m.
-1
Suppose -9 = -4*m + 5*b, -2*b = 3*m - 0 - 24. Let v(o) = o**2 - 5*o + 2. Let z be v(m). Let w = 15 - z. Solve -2*l = -w*l for l.
0
Let g be (1 + 0)/((-3)/(-9)). Let y(w) = -w**3 + 8*w**2 - 11*w - 6. Let l be y(6). Suppose 0 = -3*t - l*t. Solve t = -g*j + j - 4 for j.
-2
Let u(q) be the second derivative of -q**3 + q**2 + q. Let k be u(-1). Solve -x = x - k for x.
4
Let b = 11 - 9. Suppose -5*x + b*x + 6 = 0. Let p be (-4)/6 + 64/6. Solve 0 = -x*h + 4*h + p for h.
-5
Let u be ((-10)/6)/((-1)/3). Let y = 9 - u. Suppose -5*z - y = 2*w - 34, -75 = -5*w + 4*z. Solve -4*r - r = w for r.
-3
Let j = 20 + -11. Let p be (12/j)/((-2)/(-3)). Suppose p*l + 5*n - 26 = 0, -n + 0 = -4*l + 8. Solve a = -0*a + l for a.
3
Let p(w) = -4*w - 4. Let c be p(-2). Solve -l - l = -c for l.
2
Let k be 5*(54/(-15))/(-3). Let i be (k + -3)*(2 - 1). Let g(d) = -d**3 - 5*d**2 - 6*d. Let b be g(-4). Solve b*q - 5*q = i for q.
1
Let l(t) = 2*t - 2. Let d be l(7). Suppose 4 - d = -2*w. Solve 2*z = -2*z + w for z.
1
Let k be (35/4)/7*12. Solve -5*w = -0 - k for w.
3
Let i be 5*((-16)/10)/(-1). Suppose -13 = -4*v - 1. Solve v*j - i = -j for j.
2
Let j = 30 - 30. Solve j = -4*t - 8 - 0 for t.
-2
Let y(i) = 2*i**3 - 4*i**2 + 2*i + 1. Let a be y(2). Solve -a*n + 5 + 0 = 0 for n.
1
Let o(w) = w**3 + 17*w**2 + 30*w + 2. Let t be o(-15). Solve 0 = t*s - 10 + 2 for s.
4
Suppose -z + 1 + 2 = 0. Let q = 10 + -7. Suppose b - 5*b + 20 = 0, 8 = q*l - 2*b. Solve -z*r = -l*r - 9 for r.
-3
Suppose 2*v + 3 - 12 = -z, 0 = 2*v + 5*z - 29. Suppose 0 = -5*k + 2*a + 3, v*a - 4 = -2. Suppose 8 = c - k. Solve -5*l + c = -11 for | {
"pile_set_name": "DM Mathematics"
} |
What is the second derivative of 29455683*n**5 - 44150267*n wrt n?
589113660*n**3
Differentiate 2180900*b*k*r - b*k - 2*b*r + 36992*b - 5*k*r + 11*k - 1 wrt r.
2180900*b*k - 2*b - 5*k
Find the third derivative of 138694130*h**6 - 2*h**2 - 88634*h + 511 wrt h.
16643295600*h**3
What is the third derivative of 8974347*o**3*v + 553*o**2 + o*v + 2092*v wrt o?
53846082*v
Differentiate 6*q**4*x + 17697218*q**3*x + 26204205*x wrt q.
24*q**3*x + 53091654*q**2*x
Find the third derivative of -7709746*b**6 - 485*b**2 + 79*b + 74.
-925169520*b**3
What is the first derivative of 349*u**3 + 1952*u**2 - 24128067?
1047*u**2 + 3904*u
What is the second derivative of -120*q**3*s**2 + 11957015*q**3*s - 2*q**2*s**2 + 17981*s**2 - 2*s wrt s?
-240*q**3 - 4*q**2 + 35962
What is the first derivative of -150125102*d + 28713228?
-150125102
What is the third derivative of 13459984*y**3 - y**2 - 7657282*y?
80759904
Find the first derivative of 2*t**3 - 304*t**2 + 55206*t - 87267425 wrt t.
6*t**2 - 608*t + 55206
Find the third derivative of 62*g*l**3 + 13*g*l**2 - 3205184*l**3 + 36162880*l**2 wrt l.
372*g - 19231104
What is the third derivative of -88207351*u**3 - 66387*u**2 - 7*u - 5 wrt u?
-529244106
Find the first derivative of 63070571*x**4 - 558166324 wrt x.
252282284*x**3
Find the second derivative of -9476141*j**2 - 17181291*j wrt j.
-18952282
What is the derivative of -109431445*d**2 - 89246604?
-218862890*d
What is the second derivative of -1288741*n**2 - 777188*n wrt n?
-2577482
Differentiate -3832459*g**3 + 3*g**2 - 6*g - 104510351.
-11497377*g**2 + 6*g - 6
Differentiate 14*d**3*r + 9554705*d**3 - 46638*d**2*r + 5*d*r wrt r.
14*d**3 - 46638*d**2 + 5*d
Differentiate -2780338*a*z - 3812922*a - 4 with respect to z.
-2780338*a
Differentiate -45*a*q**3*s + 3*a*q**3 - 2*a*q*s + 2183*a*q + 2*q**3 + 2*q**2 + 25*q + 2631209*s**2 + 29 with respect to s.
-45*a*q**3 - 2*a*q + 5262418*s
Find the second derivative of -18137915*g**4 + 282220*g - 6 wrt g.
-217654980*g**2
What is the third derivative of w**5 - 112685*w**4 + 14*w**3 - 202*w**2 + 43305*w - 1 wrt w?
60*w**2 - 2704440*w + 84
Find the second derivative of 11*w**4 + 8292020*w**2 + 11*w + 4479338 wrt w.
132*w**2 + 16584040
What is the first derivative of -56544681*n + 13738452?
-56544681
Find the third derivative of -178160477*s**5 - 5234*s**2 + 246*s - 14.
-10689628620*s**2
Find the first derivative of -40024*o**4 + o**3 + 297*o**2 + 68937850.
-160096*o**3 + 3*o**2 + 594*o
Differentiate 90*c**2*m - 861133686*c**2 + 32*c*m - 6684*m wrt m.
90*c**2 + 32*c - 6684
Differentiate 445657478*g*u + 62591*u - 191 wrt g.
445657478*u
What is the third derivative of -10*h**5 - 273819*h**4 + 18805904*h**2 wrt h?
-600*h**2 - 6571656*h
What is the second derivative of -117904838*h**3 - h - 88828283 wrt h?
-707429028*h
Differentiate 87703605*d**2 - 108517384 with respect to d.
175407210*d
Find the third derivative of 17694269*c**2*g**3 - 940914*c**2*g + 13*g**2 wrt g.
106165614*c**2
What is the third derivative of 350959343*n**3 - 59*n**2 - 18*n - 8885 wrt n?
2105756058
Find the second derivative of 82888*q**3 - 26*q**2 - 4569799*q.
497328*q - 52
What is the third derivative of -57*b**3*g*o**2 - 165489*b**3*o**3 - 2*b**2*o**2 - 2*b*g*o**3 - 2490912*b*g*o wrt b?
-342*g*o**2 - 992934*o**3
What is the third derivative of 2291830*u**3 - 283980*u**2 + 11*u wrt u?
13750980
What is the derivative of 614035*z**4 - 55*z**3 + 405685899?
2456140*z**3 - 165*z**2
What is the second derivative of -5447976*t**3 - 147181878*t wrt t?
-32687856*t
Find the first derivative of -9*f**2 - 41017994*f + 964997814 wrt f.
-18*f - 41017994
Find the third derivative of 2*x**5 - 227*x**4 + 4515*x**3 + 19*x**2 - 35201 wrt x.
120*x**2 - 5448*x + 27090
What is the third derivative of 7*j*t**5 + 3*j*t**3 - 100708*j*t**2 + 9*j*t + j + 526578*t**3 - 9*t**2 wrt t?
420*j*t**2 + 18*j + 3159468
What is the third derivative of -497089*c**5*h - 183*c**3*h**3 - 2*c**2*h**3 + 86371712*c**2*h + 2*c**2 + h**3 wrt c?
-29825340*c**2*h - 1098*h**3
Find the first derivative of 70495772*y - 59941043 wrt y.
70495772
What is the third derivative of -325990382*r**5*x**3 + 58*r**2*x**2 - 601*r*x**3 - 1807*x**2 wrt r?
-19559422920*r**2*x**3
Find the first derivative of 328360621*q**2 - 300196156 wrt q.
656721242*q
Find the third derivative of 2*r**4 + 25013107*r**3 + 678358735*r**2 wrt r.
48*r + 150078642
Differentiate -55*z**4 + 109398*z**2 + 28745031 with respect to z.
-220*z**3 + 218796*z
What is the second derivative of -102*b**3 - 159495*b**2 - 74193698*b?
-612*b - 318990
What is the second derivative of 6426083*d**2 - 202*d + 19498 wrt d?
12852166
What is the derivative of -110231840*v*x*y + 2*v*x + v - 19*x - 116453 wrt y?
-110231840*v*x
Find the third derivative of -48536363*k**3 + 50*k**2 + 332*k - 658.
-291218178
What is the third derivative of -4*l*v**3 + 869*l*v**2 + 98*l*v - 8*l - 310522*v**3 - v + 1 wrt v?
-24*l - 1863132
What is the first derivative of -5*b*h**3 - 47065674*b - 744*h**3 + 604*h - 2 wrt h?
-15*b*h**2 - 2232*h**2 + 604
Find the first derivative of -9349380*j*n*v**2 - 539*j*v**2 - j*v + 2*j - 129*v**2 - v + 1 wrt n.
-9349380*j*v**2
Find the second derivative of -10*b*p**3 - b*p**2 + 85*b*p - 45*b - p**3 - 450562*p**2 - 1492*p wrt p.
-60*b*p - 2*b - 6*p - 901124
Find the first derivative of 397438*d**4 + 143*d**2 - 68646695 wrt d.
1589752*d**3 + 286*d
What is the derivative of -3*c**2*x + 11402*c**2 + 17*c - 626*x - 19740 wrt c?
-6*c*x + 22804*c + 17
What is the second derivative of -52499950*j**2 + 1186*j - 2561?
-104999900
Find the second derivative of -99808186*t**2 + 2*t - 26894186.
-199616372
Find the second derivative of 2*d**5*v + 7210183*d**5 - 81765*d*v - 208*d wrt d.
40*d**3*v + 144203660*d**3
What is the third derivative of -35644990*i**5 - 33*i**2 - 228407*i wrt i?
-2138699400*i**2
What is the second derivative of 72*c**2*h**3 + 4134*c**2*h**2 + 4*c**2 - 158070*c*h**3 - 2*c*h - 2*h**3 wrt c?
144*h**3 + 8268*h**2 + 8
Differentiate 4*d*s**3*z - 12*d*s**3 + 19128131*d*s**2*z + 3*d*s**2 + 3*d*s + 16*d + 368*s**3 - 2 with respect to z.
4*d*s**3 + 19128131*d*s**2
What is the first derivative of -7877182*j - 12932156 wrt j?
-7877182
Find the second derivative of -6588*q**2*y**2 - 8*q**2 - 5*q*y**2 + 134*q + 74*y**2 - 2*y - 13321 wrt y.
-13176*q**2 - 10*q + 148
Differentiate 251983365*l - 999797334 with respect to l.
251983365
Differentiate 15842750*h*x**2 - 2*x**2 - 2*x - 152758 with respect to h.
15842750*x**2
Differentiate 6763366*p - 10212483.
6763366
What is the first derivative of 55287*z**3 - 8451*z**2 - 1487849391?
165861*z**2 - 16902*z
Find the second derivative of 171326396*g**3 + 109725992*g.
1027958376*g
What is the third derivative of 171*n**3*s**2 - 135592*n**3 - 3*n**2*s**2 - 522*n**2*s + n*s**2 + 9*n + s**2 wrt n?
1026*s**2 - 813552
Find the second derivative of 62743534*j**4 - 9*j - 4237849 wrt j.
752922408*j**2
Find the third derivative of 3078879*u**3 + 9629*u**2 + 223*u.
18473274
What is the third derivative of 3*i*k**4 - 436*i*k**3 + 2*i*k**2 + i*k + 2*i - 20*k**4 - 39*k**3 + 2437*k**2 + 2*k + 16 wrt k?
72*i*k - 2616*i - 480*k - 234
Find the second derivative of -4908304*c**2*u + 31194*c*u + 2*u - 3 wrt c.
-9816608*u
What is the second derivative of -168562363*y**3 - y**2 + 85138345*y?
-1011374178*y - 2
Differentiate 116315*f*z**2 + 132*f - 82332*z**2 - 156 with respect to f.
116315*z**2 + 132
What is the first derivative of 39315374*t**2 - 12256559 wrt t?
78630748*t
Find the second derivative of -25*b**3*y**2 - 90*b**2*y**2 - 10*b**2 - 885*b*y**2 - 20*b*y + b - 2*y**2 - 1 wrt b.
-150*b*y**2 - 180*y**2 - 20
Find the first derivative of 120*i*v - 35988108*i - 66456*v wrt v.
120*i - 66456
What is the second derivative of -2*d**3 + 53989800*d**2 + 3*d - 24412875?
-12*d + 107979600
Find the first derivative of -612*q**2*u**3 - 26*q**2 + 176098*q - 20970*u**4 + 2 wrt u.
-1836*q**2*u**2 - 83880*u**3
What is the derivative of 15611183*l*p - 9071473*p wrt l?
15611183*p
What is the second derivative of -500190*x**5 - 3*x**4 - 26*x**2 - 3*x + 25965701?
-10003800*x**3 - 36*x**2 - 52
Find the third derivative of 11*g**5 - g**4 - 1156991*g**3 - 1506911*g**2 + 16.
660*g**2 - 24*g - 6941946
What is the derivative of 47844473*a + 19093421?
47844473 | {
"pile_set_name": "DM Mathematics"
} |
s(c) + y(c). Let a be f(0). Suppose a - 27 = z. What is z rounded to the nearest 100?
800
Suppose 0 = -4*n - 3 + 19. Let k be ((-320)/(-3))/(n/169500). Suppose 3*u = -u - k. Round u to the nearest 100000.
-1100000
Let o(i) = -i**3 - 7*i**2 + 7*i - 4. Suppose 3*v = v - 16. Let t be o(v). Suppose t*b + 61616 = -658384. Round b to the nearest 100000.
-200000
Let t = 0.038 + 0.01. Let p = -0.0465 + t. What is p rounded to 3 decimal places?
0.002
Suppose 2*u = -26 + 4. Let m(w) = w + 6. Let q be m(u). Let o be (q/1 - -4)*-103. What is o rounded to the nearest 10?
100
Let q(o) = -595*o + 373. Let p be q(7). What is p rounded to the nearest one hundred?
-3800
Let i = -8999.0662 - -4.6662. Let p = 8946.3845 + i. Let w = p - -48. Round w to 3 dps.
-0.016
Let c = -50 + 48.96. Let z = 0.13 - c. What is z rounded to one decimal place?
1.2
Let c be 757112682/54 - 4/18. Suppose t + c + 2543846 = -5*g, -3*g = 5*t + 9938653. Let h = g + 1652891. Round h to the nearest 100000.
-1700000
Let g(v) = 9349*v**2 - v + 2. Let i be (4*1)/((-34)/17). Let l be g(i). Round l to the nearest ten thousand.
40000
Let g = 10.3 - 11. Let i = 3.2 + g. Let u = -2.5000054 + i. Round u to six decimal places.
-0.000005
Let d(s) = -7286*s + 9. Let w(u) = 2 + 0 + 1 - 4. Let j(l) = -4*d(l) - 44*w(l). Let r be j(-7). What is r rounded to the nearest 10000?
-200000
Suppose 7*j = -5*r + 3*j + 26, -3*r - 2*j = -14. Let y(t) = 39544*t + 10479*t - r + 975*t. Let q be y(-1). What is q rounded to the nearest ten thousand?
-50000
Let c = 18.38088 - 318.27718. Let m = c - -491.89549. Let u = -192 + m. Round u to 4 decimal places.
-0.0008
Let w = -55.8 + 3.8. Let l = 52.00033 + w. Round l to 4 decimal places.
0.0003
Let t = -151.5 - -144.71. Let v = -43 + 50.1. Let s = v + t. What is s rounded to one decimal place?
0.3
Let w be ((-2)/(-12))/(10/1060)*-27. Round w to the nearest 10.
-480
Let b = -66 - -65.736. Round b to two decimal places.
-0.26
Let l = -906.1 + 852. Let z = l - -273.1. Let n = 218.9999803 - z. What is n rounded to 6 dps?
-0.00002
Let a = 66.069 + -66. Let p = a + -122.069. Let d = 122.00093 + p. What is d rounded to 4 decimal places?
0.0009
Let h = -5733.05217 - -5733. Round h to 3 dps.
-0.052
Suppose -c - 9 = -4*c. Suppose c*k - 7 - 5 = 0. Suppose -p + 3*y + 833257 = 213260, k = 4*y. Round p to the nearest 100000.
600000
Let x = 0.00411828 + -1.40413408. Let r = 1.4 + x. What is r rounded to six decimal places?
-0.000016
Let f = 396 - 753. Let s = f + 243. Let v = 114.000321 + s. What is v rounded to 5 dps?
0.00032
Let o = 3.036697 + -3.038. Round o to 5 decimal places.
-0.0013
Let i = 396.83021 - 3.56921. Let z = -393 + i. What is z rounded to 2 dps?
0.26
Let i(v) = v**2 + 6. Let x be i(0). Suppose 3*s - 2610 = x*s. What is s rounded to the nearest one hundred?
-900
Let c = 91.00233 - 91. What is c rounded to three decimal places?
0.002
Let z be (-3)/((-26)/56 - (-12)/(-42)). Suppose z*g = -24003 - 2877. What is g rounded to the nearest 1000?
-7000
Let u = -26.801146 - -26.8. Round u to 5 decimal places.
-0.00115
Let m = -453052.47251 + 452566.47. Let j = -486 - m. Round j to 4 dps.
0.0025
Let x(n) = 445*n - 5. Let b(m) = 9*m - 3. Let t be b(-3). Let q be (-10)/t + 26/3. Let i be x(q). Round i to the nearest 1000.
4000
Let p = -12.394 - 0.306. Let y = p - -11. Let f = -1.69973 - y. What is f rounded to 4 decimal places?
0.0003
Let z = 1308734924 - 1308734902.00000012. Let q = -21.974 + -0.026. Let j = q + z. Round j to seven decimal places.
-0.0000001
Let v be (-2)/14 + 1867320060/420. Round v to the nearest 100000.
4400000
Let p(g) = -73*g**3 + g**2 + 6*g - 1. Let q be p(-3). Suppose 6*t - 3*t = -w - 2950, q = -2*t + 5*w. What is t rounded to the nearest one hundred?
-1000
Suppose 9*l - l = -1040000. What is l rounded to the nearest one hundred thousand?
-100000
Let b = 279.070012 - 278.96. Let f = 9 + -8.89. Let d = f - b. Round d to five decimal places.
-0.00001
Let j = 267817.9510124 - 267818. Let k = -5.051 - -5.1. Let r = j + k. Round r to 6 dps.
0.000012
Let p = -6359.519 + 6356. What is p rounded to one dp?
-3.5
Let w = -0.05162 - 0.05306. Round w to 3 dps.
-0.105
Let f = 495.9999446 - 496. What is f rounded to 5 dps?
-0.00006
Let y = -6138.87698051 - -6134.77698. Let l = -58.1 + 54. Let x = l - y. Round x to 7 decimal places.
0.0000005
Let h = -3746 - -3663.02. Let a = 0.02 - h. Let n = -82.99933 + a. What is n rounded to four dps?
0.0007
Let f = 0.583 + 0.057. Let h = -0.64006 + f. Round h to four dps.
-0.0001
Suppose u - 489820 = -5*p - 110620, 0 = -4*p. Suppose 0*b - 4*b + u = 0. Suppose 0 = 2*z + 4*z - b. Round z to the nearest 1000.
16000
Let y be 250/(15939/(-3188) - 25/(-5)). What is y rounded to the nearest 100000?
800000
Let z = 29 - 40. Let t = 0.009633 - -10.990867. Let c = t + z. Round c to 4 decimal places.
0.0005
Let o = -1.372099 + 1.373. What is o rounded to four decimal places?
0.0009
Let o = -29.635858 - 0.358242. Let l = -30 - o. What is l rounded to three dps?
-0.006
Let b(r) = -7*r + 1 - 3 - 8*r. Let m be b(4). Round m to the nearest ten.
-60
Let j = -33.875 - -3.735. Round j to 0 decimal places.
-30
Let k = -2.6377 + -0.3043. Let q = 0.52 + -3.42. Let m = q - k. What is m rounded to 2 dps?
0.04
Let h = -1219 + 1219.00082. What is h rounded to three decimal places?
0.001
Let d = 275.159 + -275. Let v = -0.1590632 + d. Round v to 5 dps.
-0.00006
Let y = -31.4163 + 31.15. Round y to 2 decimal places.
-0.27
Let n = 23.769 - 3.399. Round n to one dp.
20.4
Suppose y + 228 - 35 = 0. Let f be -2*y*(-3)/6. What is f rounded to the nearest 10?
-190
Let d = -50.40512 + 0.04012. Let g = -0.565 - d. Round g to the nearest ten.
50
Let j(l) = l - 3 + 2*l - 1. Let u be j(2). Suppose 7 = 3*t + 1, u*m + 3500010 = 5*t. What is m rounded to the nearest 100000?
-1800000
Let v = -89170832 - -89170776.99999968. Let g = v + 55. Round g to seven dps.
-0.0000003
Let s = -7.25 + -1.15. Let f = -36.1 + s. What is f rounded to the nearest ten?
-40
Let a = 0.042 - -38.958. Let r = a - 38.825. What is r rounded to two dps?
0.18
Suppose -4*w + 3710 = 3*w. Suppose -3*m + 13 = -11. Suppose -q - 1610 - m = -3*i, i - 5*q = w. Round i to the nearest one hundred.
500
Let u(s) = -s**2 - 6*s - 8 - 5*s - 4 + 2. Let z be u(-10). Suppose z = 8*l - 4*l + 136. Round l to the nearest ten.
-30
Let m(u) = 2*u + 65. Let j be m(0). Let g be (-2)/10 + (-34363342)/j. Let l = g + 158667. Round l to the nearest one hundred thousand.
-400000
Suppose -383*c = -382*c + 2. Suppose 57059481 - 21459487 = -2*u. Let x be (c - 2) + u + 1. What is x rounded to the nearest 1000000?
-18000000
Let z = -495 + 495.2204. Round z to two decimal places.
0.22
Let z = -338198 - -1322566. Let w = 984352.000072 - z. Let c = -16 - w. What is c rounded to five dps?
-0.00007
Let w = -9.159968 + 9.22. Let k = -0.26 - -0.32. Let a = w - k. Round a to five dps.
0.00003
Let n be ((-8)/(-16))/((-1)/12). Let y be ((-8)/n)/((-5)/(-85050)*4). What is y rounded to the nearest 1000?
6000
Let o = -0.51 + -9.69. Let i = -10 - o. Let v = -0.236 + i. Round v to two dps.
-0.04
Suppose -5292 = -4*s + 123180. Suppose 5*n - 65475 = -5*d, -n + s = 4*d - 20277. What is d rounded to the nearest 1000?
13000
Let s(v) = -v**3 - 15*v**2 + v + 8. Let q(g) = g**3 - 6*g - 6. Let b be 1 - (-2 + 2) - 4. Let d be q(b). Let p be s(d). What is p rounded to the nearest 10?
-10
Let n = -3237872549.00000078 - -3237872458. Let d = n - -91. Round d to seven dps.
-0.0000008
Let i = 23.891 + 0.109. Let m = 23.9999318 - i. What is m rounded to five decimal places?
-0.00007
Let s = -83.33 - -83. Let l = s - -0.3309. What is l rounded to 3 dps?
0.001
Let u = 1567904843847612173 + -1567904858359303943.00000122. Let k = u - -14511691651. Let g = 119 + k. What is g rounded to 7 dps?
-0.0000012
Let a = -23726 + 16064. What is a rounded to the nearest one thousand?
-8000
Let p = -8.9 - -9.088. Let u = 0.2226 - p. Round u to 3 dps.
0.035
Let h = 14.549998325 + -14.55. Round h to 7 dps.
-0.0000017
Let y = 0.8 + 1.8. Let g = y - 2.600193. Round g to five dps.
-0.00019
Let j(v) = -v**3 - 9*v**2 - 8*v + 3. Let o be j(-8). Suppose 4*m = 12, b + 4*b = -o*m + 29. Let c be (-20 - 0)*114/b. Round c to the nearest one hundred.
-600
Let a = -38 - -41. Suppose 0 = -a*j + 211142 | {
"pile_set_name": "DM Mathematics"
} |
91
Convert 51.66531 decades to months.
6199.8372
How many grams are there in twenty-nine halves of a kilogram?
14500
What is fourty-four fifths of a centimeter in millimeters?
88
Convert 92.2118ml to litres.
0.0922118
What is 5884.275 years in months?
70611.3
What is 2/15 of a week in seconds?
80640
How many nanograms are there in 1/5 of a microgram?
200
What is 0.0450318 grams in kilograms?
0.0000450318
What is 9115.078um in centimeters?
0.9115078
What is seventy-four fifths of a litre in millilitres?
14800
How many millilitres are there in 25/4 of a litre?
6250
How many milligrams are there in 3/40 of a gram?
75
How many kilograms are there in five quarters of a tonne?
1250
What is 2.332982g in nanograms?
2332982000
How many micrograms are there in 8/25 of a milligram?
320
How many millilitres are there in 21.1132 litres?
21113.2
How many nanometers are there in 7/2 of a micrometer?
3500
How many millilitres are there in 11/8 of a litre?
1375
How many milligrams are there in 1/5 of a gram?
200
How many months are there in 11/4 of a century?
3300
What is 2145.594 litres in millilitres?
2145594
What is 0.806239 micrometers in kilometers?
0.000000000806239
What is 6.625658 decades in months?
795.07896
What is 5/24 of a day in hours?
5
How many centuries are there in 2757.2973 months?
2.29774775
What is seventy-five halves of a microgram in nanograms?
37500
How many millilitres are there in 6/5 of a litre?
1200
How many minutes are there in 24380.877us?
0.00040634795
What is eleven eighths of a minute in milliseconds?
82500
How many days are there in 1599342.3 microseconds?
0.00001851090625
How many micrometers are there in 21/2 of a millimeter?
10500
What is 727473.5um in nanometers?
727473500
What is one fifth of a century in decades?
2
How many millilitres are there in fourty-nine quarters of a litre?
12250
How many months are there in seven thirds of a decade?
280
How many seconds are there in 1/30 of a hour?
120
How many millilitres are there in 6/25 of a litre?
240
How many grams are there in 21/8 of a kilogram?
2625
How many microseconds are there in 5199.958 hours?
18719848800000
What is 3/10 of a kilogram in grams?
300
How many days are there in eight sevenths of a week?
8
What is 990.9541 kilometers in centimeters?
99095410
How many nanoseconds are there in 0.6401069 seconds?
640106900
What is seven quarters of a litre in millilitres?
1750
What is 3/32 of a kilogram in milligrams?
93750
How many nanometers are there in 0.6814801 meters?
681480100
Convert 6.944539 years to centuries.
0.06944539
How many millilitres are there in eighteen fifths of a litre?
3600
Convert 0.3618903ms to microseconds.
361.8903
What is 6/5 of a millennium in decades?
120
What is 37/2 of a litre in millilitres?
18500
What is 1/10 of a milligram in nanograms?
100000
Convert 6.956573um to kilometers.
0.000000006956573
How many kilograms are there in 17/2 of a tonne?
8500
What is 0.8291501 years in decades?
0.08291501
How many millilitres are there in 3355.69l?
3355690
What is nineteen quarters of a litre in millilitres?
4750
What is thirty-two fifths of a minute in seconds?
384
What is 12546.81 tonnes in nanograms?
12546810000000000000
Convert 574.854 tonnes to micrograms.
574854000000000
How many micrograms are there in 15339.66ng?
15.33966
Convert 70.18233 centuries to months.
84218.796
What is 1/10 of a kilogram in grams?
100
Convert 13093.76 decades to millennia.
130.9376
How many micrograms are there in 61871.1 tonnes?
61871100000000000
What is 6/5 of a microgram in nanograms?
1200
How many millennia are there in 0.171412 years?
0.000171412
What is twenty-five eighths of a gram in milligrams?
3125
What is 21/2 of a year in months?
126
How many litres are there in 0.9034419ml?
0.0009034419
Convert 208587.2 decades to millennia.
2085.872
What is 8618.28cm in meters?
86.1828
How many litres are there in 659325.8 millilitres?
659.3258
How many micrograms are there in 32/5 of a milligram?
6400
How many micrometers are there in 3/50 of a centimeter?
600
How many months are there in one quarter of a decade?
30
How many decades are there in 5105.855 centuries?
51058.55
What is 0.4474762l in millilitres?
447.4762
What is 23.798016 seconds in days?
0.00027544
How many seconds are there in 74.89201 weeks?
45294687.648
What is fifteen quarters of a year in months?
45
What is 64.74121um in millimeters?
0.06474121
Convert 94.34149 millimeters to micrometers.
94341.49
How many kilograms are there in 13/5 of a tonne?
2600
How many micrometers are there in 40917.61nm?
40.91761
How many millilitres are there in twenty-seven halves of a litre?
13500
What is seventy-five quarters of a meter in centimeters?
1875
Convert 0.6331133um to meters.
0.0000006331133
How many years are there in one tenth of a millennium?
100
Convert 83543.37l to millilitres.
83543370
What is 27/4 of a millennium in years?
6750
What is thirteen fifths of a milligram in micrograms?
2600
How many litres are there in 9397.458ml?
9.397458
How many millimeters are there in eighty-seven quarters of a meter?
21750
Convert 1.99711 centimeters to millimeters.
19.9711
How many centuries are there in 87112.35 millennia?
871123.5
What is 17/2 of a tonne in kilograms?
8500
What is 5/6 of a day in hours?
20
What is seventy-two fifths of a minute in seconds?
864
How many grams are there in twenty-one halves of a kilogram?
10500
What is 5547.974 decades in years?
55479.74
What is 471137.9 hours in milliseconds?
1696096440000
Convert 497406.3ns to seconds.
0.0004974063
What is 520841.2 decades in millennia?
5208.412
How many micrometers are there in 1/16 of a centimeter?
625
How many millilitres are there in 586725.7l?
586725700
What is 60262.685 days in weeks?
8608.955
What is one sixteenth of a tonne in grams?
62500
Convert 160.3092 milliseconds to minutes.
0.00267182
What is 1/10 of a kilometer in millimeters?
100000
Convert 781.348 litres to millilitres.
781348
Convert 13.13426g to tonnes.
0.00001313426
What is 2/15 of a century in months?
160
Convert 778793.5km to micrometers.
778793500000000
How many micrograms are there in 1/4 of a milligram?
250
What is one fifth of a meter in millimeters?
200
What is 1/4 of a litre in millilitres?
250
How many years are there in 335256.1 centuries?
33525610
Convert 0.7012454l to millilitres.
701.2454
How many micrometers are there in 3/32 of a meter?
93750
What is 9/10 of a litre in millilitres?
900
How many grams are there in 11/2 of a kilogram?
5500
What is 64/5 of a litre in millilitres?
12800
How many nanograms are there in 0.2468305 micrograms?
246.8305
What is 11/2 of a millennium in centuries?
55
How many years are there in 259.86345 months?
21.6552875
What is 534414.7 millennia in centuries?
5344147
What is 85.70838um in millimeters?
0.08570838
Convert 0.2892203 decades to centuries.
0.02892203
What is fourty-five quarters of a litre in millilitres?
11250
How many nanometers are there in 353033.5 micrometers?
353033500
What is twenty-nine halves of a litre in millilitres?
14500
How many millilitres are there in five quarters of a litre?
1250
What is 606.1534mg in tonnes?
0.0000006061534
Convert 4034.151 litres to millilitres.
4034151
How many nanometers are there in 7/25 of a micrometer?
280
How many minutes are there in 7/8 of a day?
1260
How many milliseconds are there in 3/32 of a minute?
5625
How many months are there in 3/50 of a century?
72
What is 1/6 of a day in seconds?
14400
What is three fifths of a kilometer in meters?
600
How many millilitres are there in 37/2 of a litre?
18500
How many kilometers are there in 19053.97um?
0.00001905397
What is 0.5475414 millimeters in nanometers?
547541.4
What is 57.61833m in nanometers?
57618330000
How many micrograms are there in 60.04594 kilograms?
60045940000
How many minutes are there in 1/10 of a day?
144
How many meters are there in 3/5 of a kilometer?
600
What is twenty-nine halves of a kilogram in grams?
14500
Convert 17.34873 litres to millilitres.
17348.73
How many months are there in one fifth of a millennium?
2400
Convert 762024.7 millennia to centuries.
7620247
Convert 9.45405 meters to micrometers.
9454050
What is 1/5 of a litre in millilitres?
200
What is 9197.011 meters in kilometers?
9.197011
What is 0 | {
"pile_set_name": "DM Mathematics"
} |
Suppose -5*g = 356 - 141. Let h = g + 48. Suppose 0 = -h*v + 13*v - 200. Solve 2*c = -3*c - v for c.
-5
Suppose 189222*u = 189230*u - 1720. Solve -u*t + 222*t = 21 for t.
3
Let t(p) = -p**3 + p**2 + 4*p. Let k be t(3). Let u(v) = v - 20. Let y(g) = -19. Let f(d) = 2*u(d) - 3*y(d). Let m be f(k). Solve m - 1 = 2*n for n.
2
Suppose -4*r - 54 = u, 0*r - 273 = 4*u - 3*r. Let h be (u/(-88))/((-2)/(-16)). Suppose -h*m + 42 = -m - 3*o, 0 = 2*o + 8. Solve -f = f - m for f.
3
Suppose -3*l = 5*q, 0 = -4*q - 9*l + 11*l + 22. Let n be 0/q + (9 - 3). Solve 2*m = -n + 4 for m.
-1
Let g be 29/145 + 109/5. Suppose -4*n = -5*m + 34, 4*m + g*n - 25*n - 27 = 0. Solve 0 = m*x + 3*x + 36 for x.
-4
Let y = -1353 + 1402. Solve -7 = -y*l + 42*l for l.
1
Let j(v) = 6*v + 5. Let b be j(0). Suppose -2 = -o + s, -b*o = -3*o - 5*s + 2. Solve -i + o*i - 6 = 0 for i.
2
Suppose 0 = 3*k + 2*k - c - 10, 4*k + 4*c = 8. Let y(o) = o - 2*o**2 + 29 - 15 + o**2 + 0*o**k. Let m be y(4). Solve m*s + 0*s = 0 for s.
0
Suppose -4*b + 1080 = 16*b. Solve -17*f + 82 = -b for f.
8
Suppose -5*a + 5*q = -345, 60*a - 56*a - 2*q - 286 = 0. Solve 29*u - a = -8*u for u.
2
Suppose -6*r = -4*r - 20. Let p = 157 + -154. Solve -p*u + r - 7 = 0 for u.
1
Let n be 10/6 - (-1)/3. Let k(m) = -m**2 + 19*m + 218. Let c be -8 + (-4)/((-24)/210). Let z be k(c). Solve n*f + z*f = 0 for f.
0
Let v be -4*((-102)/4 + 14). Solve -v*l + 224 = -18*l for l.
8
Suppose -5*z = -c - 40, 0*z + 2*c + 17 = 3*z. Suppose -z + 89 = 16*m. Solve -2*n + m*n - 15 = 0 for n.
5
Suppose -36*s + 560 + 4202 = -926. Solve -30*i + s = 218 for i.
-2
Suppose 8*c + 2775 = -1889. Let k = c - -589. Solve 0 = 10*d - 7*d + k for d.
-2
Let u(v) = 185*v - 39. Let z be u(4). Suppose -17*m = -z - 421. Suppose -16*r + m = -5*r. Solve 2*i = r*i + 16 for i.
-4
Let g be (-434768)/348*(-1 - 69/12). Solve 8393 = 5*d + g for d.
-8
Let k(l) = -l**3 - 3*l**2. Let z be k(-3). Suppose z = -d - 24*d + 125. Solve -d*m + 17 + 8 = 0 for m.
5
Suppose d = 4*d + 15. Let n(p) = 36*p - 17 + 61*p - 101*p + 5. Let k be n(d). Solve 0 = a + a + k for a.
-4
Suppose 170*a = 167*a + 33. Solve -14*k - a = 73 for k.
-6
Let m(r) = r**3 - 5*r**2 + 4*r + 2. Let u = 22 + -18. Let a be m(u). Let b(v) = -v**3 + 2*v**2 - v + 2. Let i be b(a). Solve 5*w - w + 12 = i for w.
-3
Suppose 195 = 60*d - 225. Solve -d*o + 18*o - 11 = 0 for o.
1
Let q = 587 - -2253. Solve -2829*m = -q*m - 77 for m.
-7
Let d be (-3 + 60/6)/((-2)/34). Let g = d + 121. Solve 2*j + 4 = -g for j.
-3
Let i(b) = b**3 - 36*b**2 + 38*b - 3. Let t be i(1). Solve 26*q - 18 + 70 = t for q.
-2
Let l be 4*(8/(-68) - (-116661)/2516). Solve -10*o = 27*o - l for o.
5
Let t be -3*(19/3 + -5). Let b be ((-4)/(8/t))/(2/3). Suppose -6*c + b = -9. Solve 5 + 3 = -c*z for z.
-4
Let l(c) = 5*c - 20. Let b be (-14)/(-21) + (-164)/3. Let f = b - -61. Let z be l(f). Solve 5*w = -0*w + z for w.
3
Let j(c) = -c**2 + 3*c + 28. Let t be j(7). Suppose 0 = 6*h - h - 50. Suppose y = -y + h. Solve t*i = i - y for i.
5
Let q be 2/(-3) - -15*42/945. Solve -8*u + 14*u + 12 = q for u.
-2
Let t = -2758 + 2787. Solve 0 = 10*z - 39 + t for z.
1
Let q = 4662 + -4604. Solve q*d - 38*d = 0 for d.
0
Let m be -4*((-18)/32)/((-6)/(-8)). Suppose 3*x - 29 = -4*t, -x + t = -m + 5. Solve -x*k = 7 - 19 for k.
4
Let z(o) = -6 + 6*o - 2*o - 12 + 3*o**2 - 16*o - 9*o. Let i be z(8). Solve i*h = -3 - 3 for h.
-1
Suppose 3*t + 3*h - 357 = 0, 5*h - 310 = -4*t + 164. Suppose 0 = 3*g + 115 - t. Solve -g*l + 0*l = -4 for l.
2
Let n be 7 + -2 - -3 - 2. Let b be ((-2)/n)/((-8)/(-6 + 318)). Solve -8*s - 5*s - b = 0 for s.
-1
Let g be 1 + (2/(-9) - 0 - (-105)/(-135)). Let d = -3 - -6. Suppose 6 = -0*u + 5*u - 3*k, -3*u - 4*k + 21 = 0. Solve d*r = -g*r + u for r.
1
Suppose 33 = -14*l + 61. Suppose 8*n = l*n. Solve -7*b + 8*b - 5 = n for b.
5
Suppose 6*d = 11*d - 160. Suppose 4*q = 48 + d. Let z be q/6*3*(-3 + 4). Solve -3*l = -8*l - z for l.
-2
Suppose -6*r = -10*r - 336. Let c = 89 + r. Solve 5*g + c - 15 = 0 for g.
2
Let l = 6 + -2. Let y = 858 + -843. Suppose y*z = 149 - 119. Solve -l*w - z + 10 = 0 for w.
2
Suppose 122*l - 101*l - 420 = 0. Solve -3*m + 115 = l*m for m.
5
Let c = 17492 + -17187. Solve -265 = -5*x - c for x.
-8
Let k = -4670 + 4670. Solve 71*c - 56*c - 45 = k for c.
3
Let p(k) = -k**2 - 55*k - 150. Let b be p(-52). Solve 7*l - b*l = 0 for l.
0
Suppose -6*u = 5*l - 8*u - 328, -3*l + u + 198 = 0. Solve 0 = -2*c + 70 - l for c.
1
Let v = -14425 - -14443. Solve 60 - v = 14*r for r.
3
Let i = 1942 - 1946. Let y(q) = -8*q**2 + 6*q - 41. Let b(o) = 3*o**2 - 2*o + 14. Let f(g) = -11*b(g) - 4*y(g). Let z be f(i). Solve -z*x - 10 = -2 for x.
-4
Let s(f) = 13*f - 156. Let i be ((-273)/(-14) - 6) + 6/(-4). Let r be s(i). Solve r = -4*d + 2 + 6 for d.
2
Let f be (((-8)/(-14))/((-6)/133))/((-16)/24). Solve 32*t - 13 - f = 0 for t.
1
Suppose 0 = 3*v + 2*m - 80, v - 4*m + 112 = 5*v. Let s be 9/12 + (-18)/v. Suppose 5*w + 6 - 11 = s. Solve -4*u + 5*u = -w for u.
-1
Let j be (-17)/((-153)/2592) - 15. Solve -12*v + 51*v - j = 0 for v.
7
Let u(l) = -23*l + 315. Let k be u(11). Solve q - k = -60 for q.
2
Let f be 13 + 5 + -1*4. Let t = -10 + f. Suppose t = 2*g - 6. Solve -4*y - 3 = g for y.
-2
Let z(k) = -3*k + 7. Let s be z(0). Suppose 0 = u + 2*p + 4, -2*u - 2*p + 5 = s. Solve -u*w = -0*w for w.
0
Let y(u) = 88*u**2 - 11*u. Let h be y(1). Let o = h + -76. Solve o = -4*r + 1 for r.
0
Suppose r - 14 = -5*y, -4*y - 83*r = -85*r. Solve y*m = -20*m - 132 for m.
-6
Let j be 46 + -43 + (-156)/(-3). Solve 0 = -j*k + 38*k + 68 for k.
4
Let z = -633 + 690. Suppose z - 20 = 4*v - 3*p, p = -v + 11. Solve 13 = -v*u + 53 for u.
4
Let x(c) = 2*c**2 - 30*c - 23. Let u be x(16). Solve 0 = 6*j + u*j - 75 for j.
5
Let k be ((120/36)/(5/(-30)))/((-2)/44). Solve k*r = 429*r - 88 for r.
-8
Let r(u) = u**3 - 6*u**2 - u - 5. Let d be r(7). Suppose 3*w = 5*z, -5*w = -3*z + 7*z - d. Solve w*t - 20 = t for t.
5
Suppose -7*v + 4*v = 0. Let d = 18 + v. Suppose 0 = -t - 5*t + d. Solve t - 4 = -p for p.
1
Let k(q) = -q**2 - 15*q - 14. Let i be k(-14). Suppose i = -8*h + 101 + 59. Solve 15*l - h*l - 20 = 0 for l.
-4
Suppose -6*l - 142 = -52. Let o be (-2)/6 + (-3 - 95/l). Let b(k) = -k**3 + 2*k**2 + 2*k + 4. Let p be b(o). Solve -5 = -f - p for f.
4
Let z(l) = -l + 3*l - 6 - l. Let u be z(10). Let x be 6/7 - -5*(-6)/(-210). Solve -u*v + x = -3 for v.
1
Let h = -18 + 26. Let p = h - 4. Solve b = 8 - p for b.
4
Suppose -5*t = 0, b + 0*t = -3*t + 47. Suppose 0 = -4*s - 3*x + b, 2*s - 5*x + 4*x = 21. Solve -s = -j - 7 for j.
4
Let s = 210 + -389. Let r = 181 + s. Solve 6 = 4*o - r*o for o.
3
Suppose 22 - 17 = 5*i. Let k be 106/22 + 9/(-11) + i. Solve 4*r - k*r + 1 = 0 for r.
1
Let i = -6473 + 6515. Solve 0 = i*d - 49*d - 49 for d.
-7
Let k = 47 + -41. Let g(s) = s**3 - 5*s**2 - 8*s + 15. Let b be g(k). Solve -b*w + 5 = -2*w for w.
5
Let u be 4/(((-2)/(-88))/(4/(-8))). Let o = -79 - u. Solve 5 = -8*q + o*q for q.
5
Let q be 0 + -1*4 + 1680/(-80). Let w = q - -25. Solve w*n = 2*n + 2 for n.
-1
Suppose -2*t - 4*i = -112, -26*t - i = -28*t + 142. Solve 61*v = t*v - 14 for v.
2
Suppose q + 0*q - 15 = -2*v, -4*q + 3*v = -5. Let g(n) = -2*n + 7. Let l be g(q). Let j be 1*l*(-2)/3. Solve 20 = 2*b + j*b for b.
5
Suppose 4*n + 13 - 53 = -2*u, 2*u - 34 = -3*n. Let f(y) = 3*y + 3. Let v(i) = -5*i - 6. Let s(j) = -7*f(j) - 4*v(j). Let p be s(3). Solve p*c = 2*c + u for c.
-4
Suppose -24*l + 32 = -l - 14. Let q = -1 - -3. Solve q*d = d + l for d.
2
Let j(i) = 2*i**2 + i. Suppose 12 = 5*p - p + 5*y, 2*y + 8 = 0. Let g(f) = f**3 - 7*f**2 - 7*f - 7. Let w be g(p). Let z be j(w). Solve z*n = 8*n + 10 for n.
-2
Suppose 0 = -3*g + 4*h - 1024, g + 2*g + h = -1004. Let b = g - -338. Solve b*q + 8 - 6 = 0 for q.
-1
Let l(s) = -s**3 - 7*s**2 + 7*s - 8. Let h be l(-8). Suppose 2*j - 6*j = h. Let u be (-3 - 3) + 414/46. Solve 2*a + 5 - u = j for a.
-1
Suppose 13*v = 7*v - 450. Let p = v - -77. Let u = -35 + 45. Solve 0*f = -p*f - u for f.
-5
Suppose 55 = q + o - 13, -20 = -5*o. Solve -7*c = -q + 43 for c.
3
Let f(v) = -v**3 - 10*v**2 + 146*v + 1335. Let j be f(-8). Solve -j*d = 44 + 112 for d.
-4
Let p be (-7)/(28/132) - 3. Let d be (0 - 1)*p/(-12). Let g be 3/9*9 - d. Solve u + u = -g for u.
-3
Let f be (2/(-3))/((-8)/(-36))*2. Let | {
"pile_set_name": "DM Mathematics"
} |
4*z + 9*h + 29, 4*h - 74 = -2*z - 168 for z.
-5
Solve -3*f + 10 = -11*d, -5*f - 1812*d = -3*f - 1816*d for f.
-4
Solve 4*t - 24998 = -3*m - 25036, 50 = 3*m - 7*t for m.
-2
Solve -27*y + k = -23*y + 28, 0 = 4*k for y.
-7
Solve -72*z + 68*z - 20 = 3*x, -8*x - 28 = -2*z for z.
-2
Solve 3*w + 5*y = -7*w + 35, -2*y + 38 = -w - w for w.
-4
Solve 98 = 62*o - m, 392 = -2*o - 2276*m + 2272*m for o.
0
Solve -10 - 24 = -2*g + 3*t, 22*g - 54 = -59*t + 60*t for g.
2
Solve -13 = -5*d - 113*y + 112*y + 24, -y - 14 = -34*d + 24 + 81 for d.
4
Solve 3*i + 23*p - 10*p = 6*p + 48, 3*p - 83 = -4*i for i.
23
Solve -4*w = -5*z - 4, -4 = 34902*z - 34898*z - 3*w for z.
-4
Solve 4*c - 44 = 4*i, 2914 = 5*i - 7*c + 2969 for i.
-11
Solve 3*b = -3*f + 3, -607*f + 604*f = 136*b - 136 for f.
0
Solve -3*p + 3*k + 12 + 10 = -2*p - 0 + 11, 5*k = 5*p - 45 for p.
8
Solve 16*z - 15 = -2*x + 15*z, 80*x + 297 = -z for x.
-4
Solve 6*c = -108, -5*h + c + c + 10 + 4 + 42 = 0 for h.
4
Solve -5*c + 14*g + 17*g = 29*g - 95, 2*c - 98 = 2*g for c.
-1
Solve -2*p - 35 = 30864*v - 30859*v, v + 6 - 1 = -0 for p.
-5
Solve -3*g + 7*a + 145 = 11*a, -4*g + 1753*a = 1749*a + 152 for g.
-1
Solve 4*n = 6*w + 28, -203*w = -205*w + 4*n - 36 for w.
2
Solve 0 = 4*i + 19*h - 95, 2910*i - 5*h = 2911*i - 23 for i.
38
Solve -44120*o - 3*j + 19 = -44124*o, o - 4*j + 8 = 0 for o.
-4
Solve 0 = 7*k + 2*n + 2*n - 44, 20*k - 258 + 89 = 3*n for k.
8
Solve -108*s + 0*r + 2*r - 546 = -r + 2*r, -274*r = -2*s - 275*r - 4 for s.
-5
Solve 56 = 2*c - 6*z, -5*z + 86153 - 86133 = c for c.
25
Solve -455*f + 2*s = -450*f + s, 7*s - 5*s + 35 = 45*f for f.
1
Solve -6*w + 1789 = 2*k + 1851, -4*k + 40 = -3*w + 14 for w.
-10
Solve 0 = 2*b - 6*f - 112, -57*f = b - 61*f - 76 for b.
-4
Solve 260823*w - 260828*w - 5*b = 45, -25 = -3*w + 10*b for w.
-5
Solve 6*t = -3*c - 21, -28*c - 17*t - 14*t + 30*t = -31*c for c.
-1
Solve 12*a - 7*a - 100*k + 157 = -92*k, 3*a + 97 = 2*k for a.
-33
Solve -16*x = 41*x - 5*a - 451, -2*x = 3*a - 115 + 277 for x.
3
Solve 2*u + 4*d - 18 = 0, u + 6*u - 24*d + d = -12 + 1 for u.
5
Solve 2*y - 76 = -4*m, -2*m - 847 = 5*y - 1029 for y.
36
Solve 3*n - 4*m = -82, -3*n + 11*n + 3*m - 64 = 9*n for n.
2
Solve 2*l + 2*d = -22, 4*l + 5*d + 67 - 72 = -54 for l.
-6
Solve -2*f - 3 = -t - 5*f, 8*f - 53758 = 4*t - 53750 for t.
0
Solve 129*q - 17*r = 125*q - 16*r + 11, -87 = 6*q + 3*r for q.
-3
Solve -16*w - 14*w = -31*w + 4*n - 36, 3 = -n for w.
-48
Solve 0 = j + 4*m + 52, 4*j + 253*m - 254*m = -4 for j.
-4
Solve -63941 = 3*h - 63839, 2*h + 68 = -5*y for y.
0
Solve 1863 - 1559 = 4*g + 6*f, g + 5*f - 258 = 0 for g.
-2
Solve -10*w = -3108*r + 3107*r - 10, 3*r = -3*w + 3 for w.
1
Solve 4*n + 5*q - 69 = -96 + 66, 5*n - 1109*q = 7*n - 7765 for n.
1
Solve 4*y = -48*b + 50*b - 58, 11*y - 3*b + 27 = -120 for y.
-12
Solve 3*y + 324*x - 598*x = -278*x - 90, 0 = -x - 3 for y.
-26
Solve 0 = -7*p - i - 95, -20169*p + 7*i = -20165*p + 77 for p.
-14
Solve -8*m + 10*m + 4 = 2*g, -37 = 146*m + 17*g - 19*g + 111 for m.
-1
Solve -l + 10*r + 618 - 441 = 2*l - 6*l, 8*l - 4*r = 80 for l.
1
Solve -19 = -3*w - d, 249*w = 116*w + 128*w - 2*d + 30 for w.
8
Solve -2*f - 35 = -g, -g - 45810194 = -4*f - 45810229 for g.
35
Solve 185 = -10*w + 14*c - 17*c, 3*w = 42*c - 46*c - 5 - 66 for w.
-17
Solve d + 228 = 3*d + 6*t, -13*d - 7424 = -3*t - 7310 for d.
0
Solve 2*x = 44*v + 26, 147*v + 14 = -2*x + 151*v for x.
-9
Solve 3*g = -7*m + 12 - 11, -3*m - 9 - 3 = 7*g - 1 for g.
-2
Solve 3*o + 3*y - 24 = 0, -2063 = 132*o + 5*y - 2230 for o.
1
Solve 2*z - w + 17 = 0, -46193*z - 60 = -46189*z - 4*w for z.
-2
Solve 2*k + 6 = -4*b, -62*k + 70*k + 31 = b + 2*k for b.
1
Solve 0 = b - 3*t + 22, 0 = -23*b + 15612*t - 15607*t - 570 for b.
-25
Solve 4*p - 3*z - 94384 = -94300, 5*p + 5*z + 105 = 0 for p.
3
Solve -58*n + 55*n = -12*u - 132, 0 = -5*n + u + u + 4 for n.
-4
Solve 2*h + 64 - 14 = 2*r, -14*h - 2*r = -7*h - 5 for h.
-5
Solve -1499*p + 1498*p - 59 = 5*o, -p = -4*o - 40 for o.
-11
Solve -2*c + 14 = -2541724*v + 2541722*v, -2*c = -5*v - 38 for c.
-1
Solve 32 = -4*a + 6996784*x - 6996786*x, -5*a - 12 - 33 = 3*x for a.
-3
Solve 4*v - v = 34*s + 117, -4*v - 94 - 75 = s - 186 for s.
-3
Solve -4*z + 231*a - 4 = 232*a - 1, -a = -28*z + 27*z - 22 for z.
-5
Solve 0 = 5*a - 4*b - 105, 160 = -10*a + 2*b + 370 for a.
21
Solve s - 46 = -2*k, -k = 3*s + 245 - 383 for s.
46
Solve -4*w = -3*r + 13 + 21, 10*w = w - 90 for r.
-2
Solve 0 = 5*n + 5*d + 310, 253*n - 251*n = -5*d - 109 for n.
-67
Solve 3*i - 535*k = -5897, -3*i + 5*k - 18 = 6*k - 2*k + 5 for i.
-4
Solve -5*h + 3*h + 5 = -0*h - h - 2*n, -n + 17 = -7*h for h.
-3
Solve 0 = 3*h - 6, -3*f + 5*h = 3*f - 19589 + 19635 for f.
-6
Solve -k - 3 = -s, -24*k + 10*k = -15*k + 12178*s - 12173*s + 9 for k.
-6
Solve -4*o - o = 250*s - 251*s - 1, -5*s - o - 5 = 0 for s.
-1
Solve 4*c = -5*r + 107, 2424362*r - 2424363*r = -5*c + 112 for r.
3
Solve 2*s - 6*s + 44 = 5*l, 666*s - 665*s - 11 = -4*l for s.
11
Solve -53*c + 56*c - 5*n + 20 = 0, 12*c - 17*c = -2*n + 8 for c.
0
Solve -2*j - 3*m - 426 = 417 - 850, 0 = -6*j + 3*m + 9 for j.
2
Solve -5*l - 4*j + 89 = 0, 2439*j - 2436*j + 31 = 2*l for l.
17
Solve 536*q = 5*c + 539*q - 32, 14*q = -c + 10*q + 37 for c.
1
Solve -30*a + 5*k - 378 = 62, k + 55 + 41 + 11 = -7*a for a.
-15
Solve 1844 = -d + 33*y, 9*y = -2*d + 5*y + 520 - 288 for d.
4
Solve 42*t + 5*p = 39*t + 45, 0 = -t + 5*p - 65 for t.
-5
Solve b - 336 = -4*a - 305, -a = -5*b + 71 for a.
4
Solve 17*j = -5*v + 9, -v + 77*j - 72*j = 15 for v.
-5
Solve 0 = 5*g - 4*d + 51, 27 = -18*g + 2*d + 17 for g.
1
Solve -2*h = -5*w - 1687 + 1662, -4*w - 14 = -h for h.
10
Solve -4822*h + 3*t = -4820*h - 97, 0 = -3*h + 4*t + 129 for h.
-1
Solve -2*r = -4*l + 35 - 25, -1078*r + 1075*r - 14*l = 55 for r.
-9
Solve -2*s + 5*s = -2*p - 13, 5*s - 2194 = p - 2181 for p.
-8
Solve -t = -5*n + 19 + 29, 552*n - 100 = 3*t + 548*n for t.
-28
Solve 4*g = 442*l - 441*l - 9 + 24, -5*l - g = 138 for l.
-27
Solve 15*u + 269*c = 261*c + 188, -4*u = 2*c - 50 for u.
12
Solve 34288 - 34266 = m + m - 2*n, 0 = -3*m + 21*n + 141 for m.
5
Solve 6 - 86 = 2*k + 5*x, -4*k = -x + 532 - 526 for k.
-5
Solve 2*d = 2*d + 5*d - 0 - 10, 5*i - 2*d - 83 = 98 for i.
37
Solve -2*t - 2*t - 195*x = -200*x + 15, 0 = t + 2*x - 6 for t.
0
Solve 0 = y + 5*w - 24, 832*y = 784*y - 3*w + 204 for y.
4
Solve 4 = 26029*o - 26025*o - 4*q, -o + 81*q = -241 for o.
-2
Solve 0 = 3*a - 55*w + 785, -116 = -a - 5*w - 51 for a.
-5
Solve -12*f - 2 = r - 8*f + 6, 0 = 5*f + 16*f + 21 for r.
-4
Solve m = -3*i - 19, i + 260*m - 177 = 278*m for i.
-3
Solve 4*v = m + 57, 4725 = 5*v + 3*m - 4767 + 14162 - 4720 for v.
13
Solve 3*r + 4*p - 62 = 0, 4*r - 49508*p + 49505*p = 66 for r.
18
Solve 0 = -4*r - 3*w - 5 + 60, -7*r - 5*w + 49 = -r - 2*r for r.
16
Solve 3*d + 183 = 118*r - 80, 5*d - 967*r = -961*r - 57 for d.
-9
Solve 2*q + 78 = -173*w + 214*w, 2*w - 2 = q for q.
2
Solve -4*h = -12, 12*h - 78 = -5*l - 15 - 12 for l.
3
Solve 2*a + 22 = 5*t, 3*t - 11*a = -24*a + 15*a + 10 - 0 for t.
6
Solve q + 4*f + 61 = 6*f + 70, 53*q + 5*f - 255 = 0 for q.
5
Solve -425*q + 14 = -206*q - 210*q + 3*w - 10, 7*w = -4*q + 5 for q.
3
Solve 5*b = 4*z - 165, 2*z + 12 = -b + 114 - 135 for z.
0
Solve -f + 175 = -3*x + 223, 0 = 3*f - 3*x + 114 for f.
-33
Solve 161*r + 60 = 166*r - 5*s, 0 = -7*r + 29*s + 370 for r.
-1
Solve 3*y - 7 = -v, 1781*v - 1785*v + 98 = -2*y for y.
-5
Solve 0 = 3*h - 4*v - 1, -4*h - 4*v = 800 - 764 for h.
-5
Solve -2*g - 86 = o + 3*o + g, 8*o - 4*o + 3*g + 32*g = -22 for o.
-23
Solve -2*j = 281*g + 885, -70 = 2*g - 64 for j.
-21
Solve -1179*i + 1182*i + 3 = -3*p, 0 = -13*p - 2*i - 11 + 31 for p.
2
Solve 363*b = -4*a + 366*b - 12 + 42, 25*a + 5*b - 235 = 0 for a.
9
Solve -5*a + 85 = n, 36*a + 22*n = 41*a + 21*n + 35 for a.
5
Solve -x - 237965 = -4*p - 238156, p + 6*x = -29 for p.
-47
Solve 4*k = -a + 34, -5589220*a + 5589222*a - k + 4 = 0 for a.
2
Solve -2*d = 5*f + 32, 635 = 19*f + 711 for d.
-6
Solve 5*w + 1411331 = -2*m + 1411320, -5*m = -5*w - 25 for w.
-3
Solve -k + 2*a - 50 = 0, -114 = -5*k + 133*a - 137*a for k.
2
Solve 2*m - 6*m + n = -117, -30 = m + 4*n - 38 for m.
28
Solve -3*g + s = -3, -30*g = -898*s + 897*s - 30 for g.
1
Solve 4*z + 588 = 2*t + 628, t = 541*z - 3*t + t - 60 for z.
0
Solve 0 = -6*m + 5*b + 9 | {
"pile_set_name": "DM Mathematics"
} |
ext term in -1455, -2550, -3313, -3750, -3867, -3670, -3165?
-2358
What comes next: 63, 21, -19, -57, -93, -127, -159?
-189
What is next in -98, -108, -120, -134, -150, -168?
-188
What is next in 96, 40, -8, -42, -56, -44?
0
What is next in -73050, -73055, -73060?
-73065
What is the next term in -8, -74, -228, -506, -944, -1578, -2444?
-3578
What comes next: -415, -1018, -2035, -3472, -5335, -7630, -10363?
-13540
What is next in -92, 578, 1252, 1930, 2612?
3298
What comes next: 1619, 1614, 1601, 1580, 1551, 1514?
1469
What is next in 84934, 169863, 254792, 339721, 424650?
509579
What is the next term in 28772, 28760, 28742, 28718, 28688, 28652?
28610
What is the next term in 1287, 2579, 3875, 5175?
6479
What is the next term in -22718, -22726, -22734?
-22742
What comes next: -211, -609, -1345, -2587, -4503, -7261, -11029?
-15975
What is the next term in -876, -2304, -3712, -5094, -6444, -7756, -9024, -10242?
-11404
What is next in 120, 225, 330, 435, 540, 645?
750
What comes next: -149, -1009, -2435, -4421, -6961, -10049?
-13679
What is next in -30973, -61950, -92925, -123898, -154869?
-185838
What comes next: 2941, 2368, 1797, 1228, 661, 96?
-467
What is the next term in 1525315, 1525318, 1525323, 1525330?
1525339
What is next in 69350, 138705, 208060?
277415
What is next in 12469, 24894, 37319?
49744
What is the next term in -1039, -2261, -3481, -4699?
-5915
What comes next: 1004, 4677, 11018, 20033, 31728?
46109
What comes next: 483, 2004, 4561, 8154, 12783, 18448, 25149?
32886
What is next in -752, -849, -936, -1007, -1056, -1077, -1064, -1011?
-912
What is next in 3551, 7099, 10649, 14201, 17755?
21311
What is the next term in -225, -209, -183, -147, -101, -45?
21
What comes next: 160, 591, 1294, 2263, 3492?
4975
What is next in -32719, -32716, -32713, -32710, -32707?
-32704
What comes next: -590577, -1181155, -1771733, -2362311?
-2952889
What comes next: -54258, -108524, -162790, -217056, -271322, -325588?
-379854
What is the next term in 178251, 356476, 534713, 712968, 891247, 1069556, 1247901?
1426288
What is next in 179448, 179445, 179442, 179439, 179436, 179433?
179430
What is the next term in -2021483, -2021500, -2021543, -2021624, -2021755, -2021948, -2022215, -2022568?
-2023019
What comes next: 35843, 143271, 322317, 572981, 895263?
1289163
What is next in 8487, 8485, 8483, 8481, 8479, 8477?
8475
What comes next: 155214, 155209, 155204, 155199?
155194
What is the next term in -8275464, -8275463, -8275462, -8275461?
-8275460
What comes next: 10954, 43816, 98592, 175282, 273886, 394404, 536836?
701182
What is the next term in 26, -23, -110, -235, -398, -599?
-838
What is the next term in -15, -23, -31?
-39
What is the next term in -19743, -19653, -19561, -19467, -19371, -19273?
-19173
What comes next: 3013, 2987, 2951, 2905, 2849?
2783
What is next in 170, 258, 346, 434, 522?
610
What is the next term in -1437092, -1437093, -1437094?
-1437095
What is next in -58618, -117247, -175874, -234499?
-293122
What is the next term in -374, -520, -756, -1076, -1474?
-1944
What is the next term in 1475, 1343, 1133, 851, 503, 95, -367?
-877
What comes next: 3477, 3460, 3435, 3402, 3361?
3312
What comes next: -20510, -41215, -61934, -82673, -103438, -124235?
-145070
What is the next term in -247, -271, -295, -319?
-343
What is the next term in -644, -672, -738, -860, -1056, -1344?
-1742
What comes next: -1609403, -1609401, -1609399?
-1609397
What comes next: 520960, 1041918, 1562876?
2083834
What comes next: 2125, 2203, 2289, 2383?
2485
What comes next: -1267, -4890, -10913, -19324, -30111, -43262, -58765?
-76608
What comes next: -2474, -4975, -7476, -9977, -12478?
-14979
What comes next: 39178, 39213, 39272, 39361, 39486, 39653, 39868, 40137?
40466
What is next in -37, -146, -281, -454, -677?
-962
What comes next: 46411, 92827, 139243, 185653, 232051, 278431, 324787, 371113?
417403
What is the next term in -681, -982, -1281, -1578?
-1873
What is next in -634, -5136, -17356, -41152, -80382?
-138904
What comes next: -51621, -103240, -154859, -206478?
-258097
What is next in 156, 197, 286, 435, 656?
961
What comes next: 70507, 70506, 70505?
70504
What comes next: -171, -402, -655, -942, -1275, -1666, -2127, -2670?
-3307
What is next in -985, -1982, -3005, -4066, -5177, -6350?
-7597
What is the next term in -20, -41, -56, -65, -68?
-65
What comes next: 125936, 125933, 125930, 125927, 125924?
125921
What is next in 10155, 10165, 10189, 10233, 10303, 10405, 10545?
10729
What is next in 2464, 4991, 7580, 10231, 12944, 15719?
18556
What is the next term in 36675, 36651, 36611, 36555?
36483
What is the next term in 4123, 4043, 3975, 3925, 3899?
3903
What is next in -219, -904, -2033, -3594, -5575?
-7964
What is next in -639, -2597, -5875, -10473, -16391, -23629?
-32187
What is next in -48867, -97731, -146593, -195453?
-244311
What is next in 193, 174, 167, 184, 237, 338?
499
What comes next: 441, 1795, 4057, 7227, 11305, 16291, 22185?
28987
What is next in 1447, 1429, 1401, 1363, 1315, 1257, 1189?
1111
What is next in -855, -1488, -2121, -2754?
-3387
What is next in 4718, 4721, 4724?
4727
What is the next term in -1320, -1628, -2480, -4152, -6920, -11060, -16848?
-24560
What is the next term in -57598, -115199, -172800, -230401, -288002, -345603?
-403204
What comes next: 238584, 238588, 238592, 238596, 238600, 238604?
238608
What comes next: 6186, 12317, 18394, 24417?
30386
What comes next: 2070, 1891, 1592, 1173, 634?
-25
What comes next: -6097, -5889, -5549, -5083, -4497, -3797, -2989, -2079?
-1073
What comes next: 140, 579, 1312, 2339, 3660, 5275?
7184
What is the next term in 327, 126, -209, -678, -1281?
-2018
What comes next: 20551, 41099, 61647, 82195, 102743, 123291?
143839
What comes next: -24281, -97144, -218585, -388604, -607201, -874376?
-1190129
What is the next term in -139957, -139941, -139925, -139909?
-139893
What comes next: 2431, 2451, 2475, 2503, 2535, 2571, 2611?
2655
What comes next: -26, -182, -612, -1454, -2846?
-4926
What is next in 594, 1165, 1736, 2307, 2878?
3449
What is next in -79829, -79828, -79827?
-79826
What is the next term in 38182, 38176, 38166, 38152, 38134, 38112?
38086
What comes next: -839, -1666, -2483, -3290, -4087, -4874, -5651?
-6418
What is next in -94, -131, -194, -283, -398, -539?
-706
What comes next: -1965, -3953, -5969, -8025, -10133, -12305, -14553, -16889?
-19325
What is the next term in -1626, -1615, -1600, -1587, -1582, -1591, -1620, -1675?
-1762
What is the next term in 110, 205, 300, 395, 490, 585?
680
What is the next term in -3726, -14868, -33434, -59424?
-92838
What is the next term in 12072, 12070, 12068, 12066, 12064, 12062?
12060
What is next in -56579, -56587, -56595, -56603?
-56611
What comes next: 78, 675, 2320, 5535, 10842, 18763, 29820, 44535?
63430
What comes next: 5, 89, 225, 407, 629, 885, 1169?
1475
What is next in 3257, 1669, -977, -4681, -9443, -15263?
-22141
What is next in 75693, 151391, 227089, 302787?
378485
What comes next: 7930, 15822, 23666, 31450, 39162, 46790, 54322, 61746?
69050
What is next in 14629, 29281, 43931, 58579?
73225
What is next in -9506, -19042, -28576, -38108, -47638, -57166, -66692?
-76216
What is next in -9561, -9558, -9561, -9570, -9585, -9606?
-9633
What comes next: -6940, -27759, -62452, -111019?
-173460
What comes next: -339, -292, -237, -174, -103, -24, 63?
158
What is next in -631, -2712, -6187, -11056?
-17319
What is the next term in -14833, -14880, -15011, -15268, -15693, -16328?
-17215
What comes next: 4886, 9773, 14658, 19541?
24422
What is next in 288, 620, 1060, 1662, 2480, 3568, 4980, 6770?
8992
What comes next: 9158, 9277, 9396, 9515?
9634
What is next in 4193387, 8386775, 12580163, 16773551, 20966939, 25160327?
29353715
What is next in -1242, -1527, -1812, -2097, -2382, -2667?
-2952
What is the next term in 217, 340, 463, 586?
709
What comes next: 9, -87, -183, -279, -375, -471?
-567
What is the next term in -120975, -120974, -120973, -120972?
-120971
What is next in -875, -1760, -2661, -3584, -4535?
-5520
What comes next: 1804, 1693, 1508, 1249?
916
What is next in 741141, 741145, 741149, 741153, 741157, 741161?
741165
What comes next: -85, -454, -1047, -1858, -2881, -4110, -5539?
-7162
What is the next term in -357, -518, -677, -834, | {
"pile_set_name": "DM Mathematics"
} |
- 2*z + 14, l = 3*z - 5 for l.
-2
Solve -4*s = -3*j - 8, 13 = 3*j + s + 11 for j.
0
Solve 2*k - 3*m - 7 = 0, -5*m = k + 28 + 1 for k.
-4
Solve -2*j - 5*d - 2 = -0*j, 0 = j - 3*d + 1 for j.
-1
Solve -13*p = o - 8*p - 9, 2*o + 5*p - 8 = 0 for o.
-1
Solve r = -5*q - 20, 3*r - 5*r + 30 = -4*q for q.
-5
Solve -2*v - 2 = a + a, -5*a = 5 for v.
0
Solve -4*o + 18 = -p, -8 = 2*p - 2*o + o for p.
-2
Solve -u - 3*d = -0*u + 1, d - 2 = 2*u for u.
-1
Solve 2*b + 10 = 4*b - 4*p, 5*p = -5*b - 5 for b.
1
Solve -4*m = 3*f - 6*f + 3, 0 = m - 2*f + 2 for m.
0
Solve -2*j - 4*b = 12, -4*j + 5*b + 21 = 6 for j.
0
Solve -2*b + 1 + 3 = 0, p + b + 2 = 0 for p.
-4
Solve -2*h = -5*h + 15, 0 = y + h - 2 for y.
-3
Solve -6*p = -10*p + 5*t + 12, -2 = -p + t for p.
-2
Solve 6 = 5*v - 3*l - 27, 0 = -2*l - 12 for v.
3
Solve -5*a + 1 = -3*n, -2*n = -n - 5*a + 7 for n.
3
Solve 17 = -5*d + j, 3*j + 2 = -2*d + j for d.
-3
Solve 4*b + 3*n + 7 - 16 = 0, 0 = 2*n - 6 for b.
0
Solve 13 - 19 = -3*m + 5*v, -2*m + v + 4 = 0 for m.
2
Solve -4*b - 9 = 5*n, -4*b + 3*b - n = 2 for b.
-1
Solve 0 = -h + 2*v + 6, -370*v = -371*v - 1 for h.
4
Solve 5*h = -x - 26, 4*h + 5*x = 3*h - 10 for h.
-5
Solve 0 = 3*p + c + 17, -4*p + 17*c - 12*c + 9 = 0 for p.
-4
Solve 0*p = -w - p - 3, 4*w = p - 2 for w.
-1
Solve 3 = -2*k - 4*h + 7, 0 = -2*h for k.
2
Solve -5 = 3*g - 4*l - 11, -l = -4*g + 8 for g.
2
Solve -m + 4*p = m - 8, 0 = 3*m - 4*p - 6 for m.
-2
Solve -3 = -4*z + z - 4*t, 0 = -4*z - t + 17 for z.
5
Solve -2*y + 2 = -3*x, -2 = x + 17*y - 18*y for x.
2
Solve -2*k = 4*g + 16, -2 = -5*k + 4*g + 14 for k.
0
Solve -y + 10 = -3*c, -5*c + 7*c = -2*y - 4 for c.
-3
Solve -4*l = -9*l - f - 21, 0 = -5*l + 5*f - 15 for l.
-4
Solve -3*k + 4*u + 8 = -0*u, -5*k + 2*u = -18 for k.
4
Solve 3 = 3*w, -h + 3*h = -3*w + 9 for h.
3
Solve 10 = -2*g + 4*n, 0 = -3*g - 5*n - 114 + 99 for g.
-5
Solve 10*q - 14*q + o + 8 = 0, -3*q + 5*o = -6 for q.
2
Solve 2*k - 5*h = -8*h, 5*k - 5*h + 25 = 0 for k.
-3
Solve 4*n - 144 + 145 = -y, -2*n = y + 1 for y.
-1
Solve -2*t = -2*s + 4, -5*t + 18 = 5*s - 2*t for s.
3
Solve 0 = 2*r - 7 - 3, 3*a + 10 = 5*r for a.
5
Solve -8*q + 20 = -4*q, 5*g = 5*q - 50 for g.
-5
Solve 0 = -3*v - 4*i + 7, -35 = -3*v - 2*v + 5*i for v.
5
Solve -4*h = -4*c + 4, 5*c - 6 = -h + 5 for h.
1
Solve -5*s - 102*x + 107*x - 35 = 0, -s + 9 = 3*x for s.
-3
Solve -9 = y - 4*o, -8 = 2*y + o - 4*o for y.
-1
Solve 3*r + 2*g - 17 = -0*g, 17 = -r + 5*g for r.
3
Solve 12 = -3*i + 3*c, -4*i + 3 = -5*i + 2*c for i.
-5
Solve 4 = 4*o, -o + 21 = 4*l - 0*o for l.
5
Solve -3*o + 21 = -2*u, -20*u - 3*o = -15*u for u.
-3
Solve 3*s - 32 = 5*o, 3 - 23 = -2*s + 3*o for s.
4
Solve -4*d - 202*c + 207*c = 20, -4*d - 5*c - 20 = 0 for d.
-5
Solve -4*g - 123 = 3*x - 148, 8 = 2*g for x.
3
Solve -5*v - 3*l - 6 = 0, v - l = 2*l + 6 for v.
0
Solve 55 = 6*j - 5*z, 2*z + 6 = j - 9 for j.
5
Solve 4*i - 1 = -5*t, -2*i + 28 = 2*i - 4*t for i.
4
Solve 3*t = 18, 74*t - 19 = a + 71*t for a.
-1
Solve 6 = 2*z, -6*z + 26 = -3*l - 7 for l.
-5
Solve 0 = -3*l - 4*y + 36, -5*y + 63 - 17 = 4*l for l.
4
Solve -2 = -m + 4*m - i, -3*m - 2*i - 14 = 0 for m.
-2
Solve 0 = 5*h + 15, j + 5*h + 3 = 5*j for j.
-3
Solve 30*u - z - 6 = 32*u, z = u + 9 for u.
-5
Solve 0 = -3*n + 3*a + 27, 0 = 5*n - a - 3*a - 41 for n.
5
Solve 7*a - 2*a - 5 = -5*j, -j - 2*a = -6 for j.
-4
Solve 0 = -6*c + c + 2*y + 27, 3*c = 5*y + 20 for c.
5
Solve -4*q + p = 2 + 3, -4*q = 3*p + 17 for q.
-2
Solve 5*k + 4*p + 32 = k, 5*p + 20 = 0 for k.
-4
Solve -2*s = 2*p - 6, s - 27 = p - 30 for p.
3
Solve -4*f + f = -4*o - 8, 0 = 5*o - 4*f + 10 for o.
-2
Solve 0 = -5*f - 4*p + 43 - 8, -5*f + 4*p = 5 for f.
3
Solve -3*x + 0*s + 3*s = 0, 2*x - 1 = 3*s for x.
-1
Solve z = -6, 12*z - 15*z - 22 = 2*r for r.
-2
Solve -5 = u - 5*j, -4*u = -0*u - j + 1 for u.
0
Solve -5*a - 19 = n, -92*a = 3*n - 90*a + 18 for n.
-4
Solve -3*t = 2*q - 16, 175*q + 13 = -t + 178*q for t.
2
Solve -f = 23*q - 24*q + 4, -f - 12 = -5*q for f.
-2
Solve -6 = -3*b, -r - 2*b + 1 = b for r.
-5
Solve -z - 30 = -5*k, -4*z - 35 = -3*k - 0*k for z.
-5
Solve 1 = -f, 0*x = x - 2*f for x.
-2
Solve 0 = k - 5*m - 28, 5*k + 3*m + m = -5 for k.
3
Solve 2 = -3*a - u, 0 = 2*a + 3*u - u - 4 for a.
-2
Solve 2*p = 7*b - 4*b - 9, -3*b + 9 = 0 for p.
0
Solve 131*u - 128*u = 4*x + 13, 3*u + 2*x + 11 = 0 for u.
-1
Solve -4*k - 76 = b - 57, -5*k - 14 = -2*b for b.
-3
Solve -4*v = 3*n + 23, 8*v - 7 = -3*n + 10*v for n.
-1
Solve -3*h = -x, -h = 4*x + 4*h for x.
0
Solve -1 = o + 10*f - 9*f, 2*f + 2 = o for o.
0
Solve x - 3 = -3*d, 46*d + 4*x - 29 = 51*d for d.
-1
Solve -3*d - 3*r = 30, 36*d + 40 = 33*d - 5*r for d.
-5
Solve 0 = 4*i - q - 4*q - 8, 4*i + q - 8 = 0 for i.
2
Solve -s - 2*m + 12 = 0, 3*m = 12*s - 14*s + 19 for s.
2
Solve 3*s = -f + 8, -4*f - 3*s + 6 = 1 for f.
-1
Solve -2*j - 7*a + 13 = -4*a, -4*a = 5*j - 29 for j.
5
Solve 5*c - 3*t = -115 + 80, 4*t = -2*c + 12 for c.
-4
Solve -4*f - 14 = -2*k + 4*k, 4*f + 12 = 0 for k.
-1
Solve 0 = -4*y - 2*q + 16, 3*y - 4*q + 2 = 3 for y.
3
Solve h - 6 = 3*i, -2*i - 15 = -h - 11 for h.
0
Solve 0 = -4*i + 4*w - 12, 0 = -0*w - 4*w + 12 for i.
0
Solve p - 5 = 5*a, 0 = p - 0*p - 2*a - 2 for p.
0
Solve 0 = 4*c - 5*f + 4*f - 24, -f - 19 = -3*c for c.
5
Solve 0 = 3*r - 4*d - 7, -2*d + 2 - 18 = -4*r for r.
5
Solve 0 = -k + 3*t - 21, 0*k = -5*k - t + 7 for k.
0
Solve -n + 5*n + 5*m + 25 = 0, -3*m = -n - 2 for n.
-5
Solve -f + 3*l = 13, 4*l = 5*f + 9 + 12 for f.
-1
Solve 3*k - 7 + 4 = 0, 0 = 4*n - 5*k + 17 for n.
-3
Solve 3*a - 6*a = 5*h - 40, -h = -a for h.
5
Solve 678 = -l + 676, 18 = -4*u - l for u.
-4
Solve -h = -137*o + 132*o - 23, -2*o = 8 for h.
3
Solve -5*h + 0 + 1 = -2*n, h - 14 = 5*n for n.
-3
Solve -4*u - 6 = -2*u, -4*v = 2*u + 6 for v.
0
Solve 41*n - 5*k - 21 = 38*n, -3*n - 5*k - 9 = 0 for n.
2
Solve f - 5*f + 4 = 0, 4*v - 3*f = -23 for v.
-5
Solve w - a + 1 = 0, -a = 4*w - 15 + 14 for w.
0
Solve -5*z + 20 = 7*k - 8*k, -4*k + z - 23 = 0 for k.
-5
Solve 5*s = 4*w + 29, w + s = 3*s - 11 for w.
-1
Solve -2*i - 1 = -5*h, -5*h + i - 5*i + 13 = 0 for h.
1
Solve -166*r = -171*r - c + 9, r - 3*c = 5 for r.
2
Solve 5*l = -2*o + 7 - 0, -3*l = -3*o for l.
1
Solve 3*o - 3*s = 2 - 20, 0 = 5*o - 2*s + 18 for o.
-2
Solve 8 = -2*f - 2*g, -11*g + 15*g = f + 9 for f.
-5
Solve -7 = 2*u + 3*y, 2*y - 2 = 5*u - 3*u for u.
-2
Solve 3*t - 4*l + 19 = 0, -7*l + 2*l = 2*t + 5 for t.
-5
Solve -29 = -24*o + 26*o + 5*r, -r - 13 = 4*o for o.
-2
Solve -4*z - 3 = -c, -3*z + 15 = 2*c + 3*c for c.
3
Solve -5*p - s - 10 = 0, -3*s + 22 - 4 = -p for p.
-3
Solve r - 5 = 3*q + 5*r, 4*q + 4*r + 4 = 0 for q.
1
Solve 3*r - 251*l - 12 = -253*l, -l = -3 for r.
2
Solve 2*w + 19 = -3*f, -4*w + 4*f - 29 = 7*f for w.
-5
Solve -3 = -3*h, -2*h - 4 = 3*g + 9 for g.
-5
Solve 5*o + 4*f = -2 + 14, -12 = -o + 4*f for o.
4
Solve 2*c - 10 = 5*i, 2*c - 8 = -0*i + 4*i for c.
0
Solve 11 = -4*d - 9, -4*l = -5*d - 9 for l.
-4
Solve 7 = -3*p - 4*h, -12*h + 11*h = p + 3 for p.
-5
Solve 5*b - 25 = 5*z, -4*b - 7 = 5*z - 18 for z.
-1
Solve 5*w = 0, -114*j + 117*j + 15 = -3*w for j.
-5
Solve 2*v + 5*t = -6, -33*v - 2*t - 12 = -37*v for v.
2
Solve 2*x + 22 = -4*t, 23 = -14*t + 10*t - 3*x for t.
-5
Solve -4*b + 5*w + 3 = 0, 60*w + 8 = 5*b + 58*w for b.
2
Solve 2*h - 4 = 0, 0*w + 5 = -3*w + 4*h for w.
1
Solve 6 = 5*j + 4*r + 21, 2*j - 3*r - 17 = 0 for j.
1
Solve 5*k = -5*d, 2*d - 5*k - 7 = -28 for d.
-3
Solve -4*w + 16 = 0, -4*w - 1 = 3*k - 5*w for k.
1
Solve -w + 6 = -h, 2*w - 106*h + 2 = -111*h for w.
4
Solve 5*j - 3*n = 19, -n + 5*n = -j - 10 for j.
2
Solve 5*g = -r + 4, 3*r + 82*g = 83*g + 12 for r.
4
Solve -3*t - 5*d - 18 = 0, -t - 10*d - 13 = -6*d for t.
-1
Solve 3*c - q - 9 = 0, 5*c - 5*q - 9 = 8*c for c.
2
Solve 0 = -3*y - 4*r - 2, -12*y - 4*r = -13*y + 10 for y.
2
Solve -q + 92*o - 89*o = -3, 5*o = 0 for q.
3
Solve -4*n = 20, 0 = -h + 4*h - 5*n - 10 for h.
-5
Solve 3*c + 3*c = 3*d + 3, -3*c = -d - 3 for d.
3
Solve -4*v = 5*g - 4, 2*v - 3*g = -5*g for v.
-4
Solve -3*w + 2*p + 23 = 0, -4*p + p + 3 = 3*w for w.
5
Solve 4*p - r + 26 = -3*r, -p + 21 = -5*r for p.
-4
Solve -25*s + 41 = -29*s - 5*c, 4*s - 3*c + 1 = 0 for s.
-4
Solve -13 = 2*c - 5*b, 0*b = 3*c - 5*b + 12 for c.
1
Solve 2*p - 3*j + 6*j = 0, 0 = -3*p - 5*j + 1 for p.
-3
Solve 3*h + 5*p - 17 = 0, 5*h - 5*p + 9 = 6*h for | {
"pile_set_name": "DM Mathematics"
} |
mber?
True
Let p(u) = -7*u**2 + 2*u + 29. Let c be p(15). Let b = 2739 + c. Is b prime?
True
Let v = -28303 - -43244. Is v a prime number?
False
Let r(w) = 366*w**2 + 503*w - 100. Is r(-27) a composite number?
False
Let m = -210 - -201. Is 769/(-8)*(m - -1) composite?
False
Let h(r) = -27*r**3 + 3 - 7 + 4*r**2 - 14*r**3 + 6. Let j(c) = 124*c**3 - 11*c**2 - 5. Let k(l) = -11*h(l) - 4*j(l). Is k(-2) prime?
False
Suppose 2*g - w = 84, -w + 3*w - 140 = -3*g. Let b be 8/g - 4/22. Suppose 16168 = 4*m + 4*t, 3*m + 5*t - 12120 = -b*m. Is m a prime number?
False
Suppose 0 = -14*d + 12*d + 8568. Let z = d - 793. Is z composite?
False
Let v = 98509 + -21930. Is v composite?
False
Let m = 9 + -3. Suppose -4*z = -2*c + 8512, 2*z + m = 4*z. Suppose -5*g + c = 667. Is g a prime number?
True
Suppose 0*h - 5*h = -3*y - 125971, 0 = -4*h + 20. Is (-2*1)/(0 - (-12)/y) composite?
False
Is (-4 + 950896/(-40))*4/(32/(-20)) composite?
False
Let s = -4104 + 7103. Is s a prime number?
True
Let u = 4 + -14. Let a be u/(-35) + (-4708)/14. Let s = 1817 - a. Is s a composite number?
False
Let z(t) = -6*t + 227. Let r be z(37). Is (20/(-5) + 3)*r - -454 prime?
True
Let v be 111*(-8 + 40/(-3)). Let z = 5642 + v. Is z a prime number?
False
Let k be (-8)/(-12)*3/2. Let a = k - -2. Suppose 0*s + s + 5*g = 1419, 0 = -5*s + a*g + 6983. Is s prime?
True
Let r(j) = -166*j**3 - 407*j**3 + 3 + 223*j**3 + j. Let z be r(-3). Suppose x - b = -2*x + 5668, 5*x - z = b. Is x a composite number?
True
Suppose -3*r + 4*j = 12 - 30, r - 4*j = 14. Let c(s) = 60*s**2 + 13 + 18 + 23*s - 58*s**r. Is c(-24) a prime number?
True
Let y(v) = 10951*v - 701. Is y(10) a prime number?
False
Suppose 0 = -7*u + 18 + 17. Is u/((-2)/(-428)*2) composite?
True
Suppose p = -5*s + 20, 3*p - 5*s = 6*p - 20. Suppose p = -2*w + 7 - 3. Suppose w*a = 5*n - 1117, -5*n - a = 4*a - 1110. Is n prime?
True
Let t = -1871 + 1642. Let d(b) = 133*b + 4. Let l be d(4). Let m = t + l. Is m a composite number?
False
Let o = -749 + 1895. Let c = 1427 + o. Suppose -9*q + c = -1198. Is q composite?
False
Suppose -3*s - 14 = -5*n + 4, -2*s - 2 = 0. Suppose -d + n*d = 656. Suppose -1222 = -10*m + d. Is m a composite number?
True
Let y(f) = -86*f**2 - 39*f + 68. Let h be y(-38). Is (h/(-12) + -4)/((-2)/(-4)) a composite number?
False
Let v(o) = 30*o**2 + 18*o**2 - 8*o - 18 - 44*o**2 + 11*o**2. Suppose -a + 13 = -3*d, -2*d - a - 9 = -2*a. Is v(d) prime?
False
Suppose -2*g + 18988 = 3*b - 31863, 2*g - 3*b - 50857 = 0. Let p = -15754 + g. Is p prime?
False
Let a be (-101372)/(-13) - (4 + (-108)/26). Let u = 14538 - a. Suppose 0 = 4*y - q - u, -2*y + 6740 = 2*y + 4*q. Is y a prime number?
False
Suppose -3*l = -31497 - 6722 - 121678. Is l prime?
True
Suppose 0 = 4*r - 54 - 2. Let a(j) = 180*j - 41. Is a(r) a composite number?
True
Let b(c) = 1387*c + 3831. Is b(38) prime?
False
Let n be (-9)/21 + 96/28. Let z be (-534481)/177 - ((-4)/n)/2. Let c = z - -5454. Is c a prime number?
False
Suppose 13230 = 323*j - 317*j. Suppose 293 = f - 5*m - j, 2504 = f + m. Is f a prime number?
True
Suppose 43*w = 22*w + 2794113. Is w a prime number?
False
Suppose -22*z + 166693 = -236391. Suppose -40*y - 3482 = -z. Is y prime?
False
Let g = -77 + 110. Suppose -14*y - 394649 = -g*y. Is y prime?
True
Suppose 36 = i - 36. Let t = 75 - i. Suppose -g + 5 = 0, p + t*g - 26 = 146. Is p prime?
True
Let k = 68557 - -281040. Is k a composite number?
True
Suppose 17*w - 5*w - 36 = 0. Suppose 4*y - 78180 = -4*r, w*y + 5*r = 4*r + 58627. Is y a prime number?
True
Suppose 0 = 5*p + h - 9 - 1, 0 = 5*p - 4*h - 10. Suppose p*z = -c + 793, 3*c - 2*z = 2*z + 2349. Is c a composite number?
False
Let c(k) = 4770*k**2 + 171*k + 977. Is c(-6) prime?
True
Let b be (-6)/(-14) + 170/(-70). Let x be b/(4 + (-11)/3). Is (-12318)/(-48) - x/16 a prime number?
True
Let h be 1/12 + 247070/120. Let t = 3500 - h. Is t composite?
True
Suppose -16202 = -4*t + 3*n, 44*n - 46*n - 4 = 0. Is t prime?
True
Let x = 969964 - 249207. Is x a composite number?
True
Let k be (-4)/(-2)*(-7)/(-2). Let y(i) be the third derivative of i**6/30 + 11*i**5/60 - i**4/4 - 3*i**3 - i**2 - 1591*i. Is y(k) a prime number?
False
Let c be (-1 + 3)/(-2) + 1/(-1). Is 10379/5 + c - (-4)/(-5) a composite number?
True
Let t be (2 + 6/(-9))/(112/420). Suppose t*a + 3*v = 43327, 7*a = 3*a + 4*v + 34636. Is a a composite number?
False
Suppose 29*j + 380954 = -6*j + 13470429. Is j a prime number?
False
Let i = 498 + -495. Suppose 0*r = i*t - 3*r - 6705, r = 2. Is t a prime number?
True
Let l(r) be the first derivative of r**4/4 - 8*r**3/3 - 15*r**2/2 + 25*r + 2. Let j = 457 + -446. Is l(j) a composite number?
False
Suppose -18 = -5*u + 7. Let r(b) = 4459*b**3 + 8*b - 7. Let a be r(1). Suppose -2*v = 4*d + v - 3547, a = 5*d - u*v. Is d composite?
True
Is (-131 - -117) + 1 + 29730 a prime number?
True
Let o = -4814 + 17037. Is o a composite number?
True
Suppose 5*g - 81 + 6 = 0. Let t(k) = k**3 - 4*k**2 - 3*k + 18. Let a be t(g). Suppose -5*l = 20, -2*i + l + a = 2*i. Is i composite?
True
Let v(i) = 7*i**3 + 26*i**2 - 79*i + 1413. Is v(28) a composite number?
False
Let k(r) = -3*r + 11*r**2 + r + 7 + 0*r - r**2. Suppose 18 = -3*q - 0*q. Is k(q) a composite number?
False
Suppose 65*u - 1148542 = 1576566 + 4587847. Is u a prime number?
True
Let z = 142862 - 36587. Is 2 + z/169 + (-2)/(-13) prime?
True
Let z(t) = 3*t**2 - 122*t - 1619. Is z(100) a composite number?
True
Let n be 15/(-1 - 2)*188/(-20). Let k be (5625/27)/5*n*3. Suppose -j = -3*x + 3729, 0 = -4*x - 2*j - 903 + k. Is x composite?
True
Suppose -8*w = 67184 - 282648. Is w a composite number?
True
Suppose u = r - 40462 - 156978, -4*u = 4*r - 789768. Is r a prime number?
True
Let o(u) = -2*u**2 - 14*u + 2. Let p be o(-7). Let l(g) = g**3 + 21 - g + 16*g - 36*g**2 + 64*g**p. Is l(-11) a prime number?
True
Let m(n) = 2*n**2 + 19*n + 35. Let d be m(-7). Is (-13)/26*(-4102 + d) composite?
True
Let m = -405306 + 705677. Is m prime?
False
Is (-1)/((-1425606)/356398 - -4) composite?
False
Let g be (1 + 5)/((-9)/(-6)). Suppose -3*n + 13046 = 4*r, -2*n + 8938 + 4106 = 4*r. Suppose 0*z - g*z = -r. Is z a prime number?
False
Suppose -4*k - k = 0, -2*w = 2*k + 1910. Suppose 7*l - 6130 - 4608 + 700 = 0. Let n = l + w. Is n a prime number?
True
Let l(r) = -8816*r - 183. Is l(-4) prime?
True
Suppose -4*o = 3*s - 606827, 2*s + 303396 = -0*o + 2*o. Is o composite?
False
Suppose 5*u - 7151 = 3*v, 4*v + v + 11965 = -u. Let x = 578 + v. Is x/4*(-3 + 1) a composite number?
False
Let n be 1173/207*(-1602)/(-2). Suppose 4*d + 5*o = -n + 46448, 4*o - 10491 = -d. Is d a prime number?
False
Suppose z - 65 = -14. Let y be -5119*(1/2)/(14/(-28)). Is (-17)/z - y/(-3)*1 prime?
False
Let y(q) = 3*q**2 + 71*q + 187. Suppose -6*a + 17 - 293 = 0. Is y(a) composite?
True
Suppose -1526773 = -4*j - 32*j + 59776871. Is j a prime number?
True
Let t be (2/(5 - 9))/(1/(-24)). Let f be 2125 - ((-2)/(-3) + t/(-18)). Let a = f - 1224. Is a composite?
True
Let j = 98 + -91. Suppose j*a - 42 = a. Suppose -a*y - 1828 = -7967. Is y composite?
False
Suppose 6*x - 2*x + 2*q = 48, 2*q = 0. Let j(s) = 2*s**3 - 7*s**2 - 13*s + 9. Let k be j(8). Suppose -x*m = m - k. Is m a prime number?
True
Suppose -5004407 = 40*i - 60121327. Is i a prime number?
True
Let q = 293 - 116. Let n(x) = -q*x + 6 - 6 + 2 + 0. Is n(-5) composite?
False
Let b(h) = -203576*h + 1659. Is b(-4) a composite number?
False
Let x = 164 - 151. Suppose 6*h - 5 = x. Suppose -2698 = -h*d + 5*q + 622, -2*d = 2*q - 2240. Is d composite?
True
Suppose 18*j - 1068151 = -32377. Is j prime?
False
Let l = 169 + -69. Let q be l/(-8)*3/((-30)/(-8)). Is ((-4)/6)/(q/1905)*1 a prime number?
True
Suppose 0 = 3*u + 2 - 17. Suppose 0 = 7*b - 5 + u. Is 6/(-9) - (5194/(-6) + b) composite?
True
Let v(p) = 1472*p**2 + 2*p. Let a be v(1). Suppose 2*i - 749 = -q, 0*q + 4*i + a = 2*q. Is q prime?
True
Let m be -1 - (-1)/(2 - 3/3). Let q be (1 - 4/(-2))*(1 - m). Suppose 7*t - 243 = -v + 2*t, 0 = 3*v - q*t - 765. Is v prime?
False
Let c be ((-48)/(-10))/(213/33370). Suppose -18*u + 22*u = -o + 1494, -3*o + c = 2*u. Is u composite?
False
Let f(a) = 151*a**2 + 14*a - 229. Is f(-48) prime?
True
Suppose 0 = -158*a + 254*a - 24187515 - 24805797. Is a composite?
True
Let n(u) = -u**3 + | {
"pile_set_name": "DM Mathematics"
} |
placement from {s: 2, o: 1, q: 6, d: 2, r: 4}.
2/455
Four letters picked without replacement from wwwwwqwwwwww. Give prob of sequence wqqq.
0
Calculate prob of sequence uutw when four letters picked without replacement from anaasusstwaa.
0
Calculate prob of sequence fesf when four letters picked without replacement from {u: 1, v: 10, s: 1, f: 2, e: 3}.
1/9520
What is prob of sequence ii when two letters picked without replacement from {i: 2, g: 18}?
1/190
What is prob of sequence ooj when three letters picked without replacement from {y: 1, i: 6, o: 4, j: 4}?
8/455
Calculate prob of sequence vvxk when four letters picked without replacement from {v: 11, k: 3, x: 4}.
11/612
Three letters picked without replacement from {i: 1, m: 1, o: 1}. What is prob of sequence oim?
1/6
What is prob of sequence byb when three letters picked without replacement from ybybybyyyybyyyby?
11/168
Two letters picked without replacement from wwwwsaasswwawwaws. Give prob of sequence aw.
9/68
Calculate prob of sequence aok when three letters picked without replacement from {c: 6, k: 9, o: 1, a: 3}.
3/646
Three letters picked without replacement from lydlwzzlwz. Give prob of sequence lww.
1/120
Two letters picked without replacement from {f: 1, l: 3, s: 2, t: 2, m: 3, w: 3}. Give prob of sequence mw.
9/182
Two letters picked without replacement from {f: 2, t: 8, r: 4, a: 5}. Give prob of sequence tt.
28/171
Calculate prob of sequence ruqy when four letters picked without replacement from {v: 3, q: 1, r: 1, u: 2, y: 3}.
1/840
Three letters picked without replacement from rrrrrrdr. Give prob of sequence rrd.
1/8
What is prob of sequence yyy when three letters picked without replacement from {y: 9}?
1
Two letters picked without replacement from szzszzz. Give prob of sequence ss.
1/21
What is prob of sequence vz when two letters picked without replacement from zzzvzztqt?
5/72
Four letters picked without replacement from izzimzhzmmjhzz. What is prob of sequence mzhj?
3/2002
Two letters picked without replacement from xxddddxxxxxxxxxbdx. Give prob of sequence xb.
2/51
What is prob of sequence eaee when four letters picked without replacement from aaeaaeaeeaaee?
7/143
Three letters picked without replacement from qqllallqblgg. Give prob of sequence glg.
1/132
Two letters picked without replacement from {n: 1, i: 5, h: 1, e: 1, x: 3}. What is prob of sequence xh?
3/110
What is prob of sequence nwar when four letters picked without replacement from nnwnwwwtawr?
1/528
Four letters picked without replacement from uuuutttuuuuuuuuuttu. Give prob of sequence utut.
455/11628
Four letters picked without replacement from {z: 2, y: 4, r: 8, m: 3, f: 2}. Give prob of sequence yzyy.
1/1938
Calculate prob of sequence aacc when four letters picked without replacement from ckkkakckkckkaack.
3/1820
What is prob of sequence pi when two letters picked without replacement from isvvpsssvippiivv?
1/20
Three letters picked without replacement from ysysysssyyysiyzss. Give prob of sequence zss.
7/510
Calculate prob of sequence iv when two letters picked without replacement from {a: 2, v: 3, i: 10, t: 1}.
1/8
What is prob of sequence ooo when three letters picked without replacement from oeazzaoaa?
0
Calculate prob of sequence kr when two letters picked without replacement from {k: 5, r: 4, u: 2}.
2/11
Three letters picked without replacement from ufgllffgull. What is prob of sequence ufu?
1/165
Three letters picked without replacement from {p: 1, t: 5, v: 6, l: 2, u: 1, y: 1}. Give prob of sequence pvv.
1/112
What is prob of sequence izzi when four letters picked without replacement from {t: 1, i: 3, z: 4}?
3/70
Calculate prob of sequence gmw when three letters picked without replacement from {z: 3, m: 1, w: 1, g: 3, d: 3}.
1/330
Calculate prob of sequence ri when two letters picked without replacement from {a: 1, m: 1, l: 1, f: 1, r: 2, i: 1}.
1/21
Three letters picked without replacement from lhi. Give prob of sequence lih.
1/6
Calculate prob of sequence bz when two letters picked without replacement from ffyzzvfdffffzffvbzff.
1/95
What is prob of sequence iie when three letters picked without replacement from {i: 2, m: 2, e: 1}?
1/30
Three letters picked without replacement from eeeueuuueeuuue. What is prob of sequence euu?
7/52
Calculate prob of sequence dj when two letters picked without replacement from {d: 2, j: 9, b: 5}.
3/40
Calculate prob of sequence do when two letters picked without replacement from {o: 4, e: 1, n: 2, d: 2}.
1/9
What is prob of sequence xmvk when four letters picked without replacement from xkvmwwj?
1/840
Calculate prob of sequence krck when four letters picked without replacement from rccvrvrrrkrrrrrrrk.
1/1530
Calculate prob of sequence lgf when three letters picked without replacement from gllieif.
1/105
Two letters picked without replacement from aahozhx. What is prob of sequence oz?
1/42
Calculate prob of sequence yy when two letters picked without replacement from {m: 2, y: 4}.
2/5
Two letters picked without replacement from mgrrmrrmfr. Give prob of sequence fr.
1/18
Four letters picked without replacement from {t: 2, f: 4, o: 3, j: 3, l: 1, p: 2}. What is prob of sequence flft?
1/1365
Two letters picked without replacement from {z: 3, q: 1, o: 1, p: 5}. Give prob of sequence pz.
1/6
Three letters picked without replacement from {v: 1, y: 7}. Give prob of sequence yvy.
1/8
What is prob of sequence xxxx when four letters picked without replacement from xxxxxuxxxxxtuutxxx?
143/612
Calculate prob of sequence fv when two letters picked without replacement from {p: 1, v: 2, f: 1, g: 1, d: 5}.
1/45
Three letters picked without replacement from {m: 4, k: 4, a: 1, z: 1}. What is prob of sequence aak?
0
What is prob of sequence ini when three letters picked without replacement from fffiifninfnffn?
1/91
Two letters picked without replacement from {s: 2, v: 1, m: 1, p: 5}. Give prob of sequence sv.
1/36
What is prob of sequence mk when two letters picked without replacement from kmkkkkm?
5/21
Three letters picked without replacement from siiiwoisiowiowiwoii. Give prob of sequence wii.
16/323
Four letters picked without replacement from txxooxkoxto. Give prob of sequence tokx.
2/495
Three letters picked without replacement from {t: 4, e: 1, f: 3, r: 1, h: 2}. What is prob of sequence fet?
2/165
Three letters picked without replacement from didxiiid. Give prob of sequence iid.
3/28
What is prob of sequence sx when two letters picked without replacement from mcxxmdmxsmmx?
1/33
Three letters picked without replacement from {m: 1, f: 1, g: 1, u: 1, y: 3}. What is prob of sequence gfu?
1/210
Four letters picked without replacement from eueseuu. What is prob of sequence uuue?
3/140
What is prob of sequence nn when two letters picked without replacement from nnaa?
1/6
Two letters picked without replacement from cfuvfv. What is prob of sequence uf?
1/15
Three letters picked without replacement from ioioayoaaao. What is prob of sequence iao?
16/495
What is prob of sequence oo when two letters picked without replacement from {h: 1, o: 4, s: 3}?
3/14
Two letters picked without replacement from zzzzhzzhhzz. What is prob of sequence hh?
3/55
What is prob of sequence ooko when four letters picked without replacement from {o: 1, z: 1, k: 4, x: 1, u: 1}?
0
Calculate prob of sequence ecy when three letters picked without replacement from yec.
1/6
Calculate prob of sequence nc when two letters picked without replacement from uuccuujcncjjcjnczcjz.
7/190
Two letters picked without replacement from ugaaathtaatutatfa. Give prob of sequence tf.
5/272
Three letters picked without replacement from {z: 12, t: 6}. Give prob of sequence ttt.
5/204
Three letters picked without replacement from wdwdddwdddd. Give prob of sequence wdw.
8/165
Two letters picked without replacement from {x: 2, t: 2}. Give prob of sequence xx.
1/6
Three letters picked without replacement from jjl. What is prob of sequence llj?
0
Three letters picked without replacement from {z: 2, s: 4, t: 1, r: 1, e: 1}. Give prob of sequence rze.
1/252
Calculate prob of sequence rrr when three letters picked without replacement from rrwr.
1/4
What is prob of sequence wqnw when four letters picked without replacement from wnnwwqqnbn?
1/105
T | {
"pile_set_name": "DM Mathematics"
} |
Is 1273673 prime?
True
Is 4444049 a composite number?
False
Is 25146851 a prime number?
False
Is 168901379 a composite number?
False
Is 117027007 composite?
True
Is 7382231 composite?
True
Is 69117157 a composite number?
True
Is 136973827 composite?
False
Is 4233899 a composite number?
True
Is 914057527 a prime number?
True
Is 21831233 composite?
True
Is 944857 a composite number?
False
Is 1331921 prime?
True
Is 905540159 a composite number?
False
Is 24899 a prime number?
False
Is 41707199 composite?
False
Is 4191311 prime?
True
Is 444887979 prime?
False
Is 1907291 prime?
True
Is 39235577 prime?
False
Is 27662443 prime?
True
Is 12515461 prime?
False
Is 9766586 prime?
False
Is 8794757 composite?
False
Is 255613 a composite number?
False
Is 20873 prime?
True
Is 131209751 prime?
True
Is 55021637 prime?
False
Is 48298097 prime?
True
Is 89208131 a composite number?
False
Is 1878995 a composite number?
True
Is 291344351 a composite number?
True
Is 15067823 composite?
False
Is 558142549 prime?
True
Is 171565 composite?
True
Is 46747867 a composite number?
True
Is 1594387 prime?
True
Is 353397167 a composite number?
False
Is 2862913 a prime number?
False
Is 14560769 composite?
True
Is 6308243 prime?
True
Is 63625049 a prime number?
True
Is 5459219 prime?
False
Is 717524777 a composite number?
False
Is 1405093 a prime number?
False
Is 312023323 composite?
False
Is 169848863 a composite number?
False
Is 16793251 a composite number?
False
Is 375899287 prime?
False
Is 1999007 a prime number?
True
Is 833659 a composite number?
False
Is 3302987 composite?
False
Is 194813065 composite?
True
Is 2219306 composite?
True
Is 10672894 a composite number?
True
Is 34743389 a composite number?
True
Is 539039 a composite number?
False
Is 81678683 a prime number?
False
Is 44324447 prime?
False
Is 1538261 composite?
False
Is 14290151 composite?
False
Is 3638639 a composite number?
False
Is 998779 prime?
True
Is 4751441 a composite number?
False
Is 1349233 prime?
True
Is 245569 a composite number?
True
Is 349579 prime?
True
Is 492587 composite?
False
Is 110723527 a prime number?
True
Is 180407 composite?
True
Is 1912135 prime?
False
Is 84667031 composite?
False
Is 171111637 composite?
False
Is 18408961 composite?
True
Is 21070807 a prime number?
False
Is 169466659 a composite number?
True
Is 4557347 a prime number?
False
Is 9046481 a prime number?
False
Is 663829 prime?
False
Is 32006549 a prime number?
False
Is 5882971 prime?
True
Is 141567 a composite number?
True
Is 468489899 a composite number?
False
Is 1708318 a composite number?
True
Is 304061 composite?
True
Is 2870131 prime?
False
Is 32928409 composite?
True
Is 28861559 a composite number?
False
Is 814057483 prime?
False
Is 4392151 a composite number?
False
Is 1971377 composite?
False
Is 44744569 a prime number?
True
Is 204533533 composite?
False
Is 39695761 prime?
False
Is 269575417 a composite number?
True
Is 2102323 a prime number?
True
Is 1323919 a composite number?
False
Is 1956084031 a composite number?
True
Is 126545857 composite?
False
Is 6489671 a prime number?
True
Is 4458001 a composite number?
False
Is 369683 a composite number?
True
Is 950642603 composite?
True
Is 37300261 prime?
False
Is 9628429 a composite number?
True
Is 2918173 a composite number?
False
Is 9315139 composite?
True
Is 29067911 a composite number?
False
Is 5353511 composite?
True
Is 167381 a composite number?
False
Is 1862443 composite?
True
Is 782279 prime?
False
Is 3991969 prime?
False
Is 377342479 composite?
False
Is 35622539 a composite number?
False
Is 6951407 composite?
True
Is 32415697 a composite number?
True
Is 80431889 prime?
True
Is 153540047 a composite number?
True
Is 39584437 a composite number?
False
Is 9142151 a composite number?
False
Is 2464769 composite?
False
Is 15925309 prime?
True
Is 3969929 a prime number?
False
Is 29654769 a prime number?
False
Is 10932599 a composite number?
True
Is 25160937 prime?
False
Is 141360539 prime?
True
Is 3280867 a composite number?
False
Is 62471653 composite?
False
Is 15303649 a composite number?
True
Is 71698961 a prime number?
True
Is 824491 prime?
False
Is 214887679 prime?
False
Is 88467497 a prime number?
False
Is 697327 composite?
False
Is 850631 a prime number?
True
Is 45515969 composite?
True
Is 16814351 a composite number?
True
Is 12057281 prime?
True
Is 58428641 a composite number?
False
Is 6039953 composite?
True
Is 39416561 a prime number?
True
Is 359794 a prime number?
False
Is 94074041 prime?
True
Is 99469 a prime number?
True
Is 1185551 composite?
False
Is 3590831 prime?
True
Is 5005411 a composite number?
False
Is 9624191 a composite number?
False
Is 4166593 a prime number?
True
Is 8066497 composite?
False
Is 15107773 composite?
False
Is 17964559 prime?
False
Is 48310403 prime?
False
Is 342065785 composite?
True
Is 603607 a composite number?
False
Is 1067987 a composite number?
False
Is 168879091 composite?
True
Is 63627977 a prime number?
False
Is 202300927 composite?
True
Is 8890039 prime?
True
Is 4169929 composite?
False
Is 8981605 a composite number?
True
Is 826334 a composite number?
True
Is 33255647 prime?
True
Is 538199 composite?
False
Is 990259 prime?
True
Is 2523613 a prime number?
False
Is 28973579 a prime number?
True
Is 10336883 a composite number?
True
Is 45292487 a prime number?
False
Is 283251251 composite?
False
Is 11944571 prime?
False
Is 16147799 prime?
False
Is 9644273 composite?
False
Is 75290143 prime?
True
Is 743549 a prime number?
True
Is 2144629 a prime number?
True
Is 40325611 a prime number?
True
Is 85302937 composite?
True
Is 68118637 a prime number?
True
Is 34531891 prime?
True
Is 278808721 a prime number?
False
Is 21303757 composite?
False
Is 27533431 a prime number?
True
Is 48719393 composite?
False
Is 10874041 a composite number?
True
Is 750247 composite?
True
Is 3118387 a composite number?
False
Is 4548941 a prime number?
False
Is 2064973 a prime number?
False
Is 445978857 a prime number?
False
Is 12481367 a composite number?
True
Is 21814277 a composite number?
False
Is 216933001 prime?
False
Is 235919729 a prime number?
True
Is 57527 composite?
False
Is 9833207 a prime number?
False
Is 216615683 prime?
False
Is 5294279 prime?
True
Is 6478933 a composite number?
True
Is 233561 composite?
True
Is 99846433 a composite number?
False
Is 1379017 a prime number?
True
Is 81148927 a composite number?
False
Is 94674577 a composite number?
False
Is 2099365 prime?
False
Is 2968562 composite?
True
Is 6228139 a composite number?
False
Is 3564119 composite?
True
Is 25617503 a composite number?
True
Is 114713 prime?
True
Is 265863757 composite?
False
Is 1002017 composite?
False
Is 3592727 a composite number?
True
Is 598360429 composite?
False
Is 197534939 composite?
True
Is 147879751 composite?
True
Is 35786521 prime?
True
Is 110039843 prime?
False
Is 1405591 prime?
False
Is 301519391 composite?
True
Is 35302177 prime?
False
Is 46704281 a composite number?
True
Is 9552271 a prime number?
True
Is 457356777 composite?
True
Is 5755871 a prime number?
False
Is 4234721 a prime number?
True
Is 205653443 a composite number?
False
Is 91886 a composite number?
True
Is 4074137 a composite number?
False
Is 43169339 a composite number?
False
Is 2398699 a composite number?
False
Is 281381 a prime number?
True
Is 323411453 a composite number?
False
Is 2782133 a prime number?
False
Is 28536379 a composite number?
True
Is 843547 a prime number?
False
Is 17147387 a composite number?
False
Is 30819697 a composite number?
True
Is 83742991 a composite number?
False
Is 337754009 composite?
False
Is 26701267 composite?
False
Is 2148955 a composite number?
True
Is 37683109 prime?
True
Is 20016677 composite?
False
Is 2929621 a prime number?
True
Is 21829393 composite?
True
Is 30774181 composite?
False
Is 100924163 prime?
True
Is 5719811 a prime number?
False
Is 4063786 prime?
False
Is 68842117 a composite number?
False
Is 758509 prime?
False
Is 525880571 a composite number?
False
Is 15346777 a composite number?
True
Is 190207 a composite number?
False
Is 2071649 a composite number?
False
Is 2900281 a composite number?
False
Is 188785253 composite?
False
Is 138938581 a prime number?
True
Is 187024261 prime?
False
Is 378247 composite?
True
Is 18327077 a composite nu | {
"pile_set_name": "DM Mathematics"
} |
3521?
3
What is the hundred thousands digit of 3934226?
9
What is the tens digit of 2802894?
9
What is the thousands digit of 22475?
2
What is the ten thousands digit of 3162922?
6
What is the units digit of 10597838?
8
What is the hundred thousands digit of 2098731?
0
What is the ten thousands digit of 2220815?
2
What is the thousands digit of 1237414?
7
What is the tens digit of 1191390?
9
What is the ten thousands digit of 780742?
8
What is the millions digit of 1021403?
1
What is the thousands digit of 15268?
5
What is the ten thousands digit of 502760?
0
What is the hundreds digit of 41647?
6
What is the ten millions digit of 12816470?
1
What is the tens digit of 2192694?
9
What is the millions digit of 18739090?
8
What is the hundred thousands digit of 8361601?
3
What is the ten thousands digit of 8045297?
4
What is the thousands digit of 929947?
9
What is the ten thousands digit of 316903?
1
What is the millions digit of 1409577?
1
What is the units digit of 963504?
4
What is the units digit of 1103482?
2
What is the hundred thousands digit of 237004?
2
What is the tens digit of 5063024?
2
What is the tens digit of 3392944?
4
What is the tens digit of 649626?
2
What is the hundred thousands digit of 241153?
2
What is the hundred thousands digit of 3246819?
2
What is the ten thousands digit of 1474208?
7
What is the thousands digit of 124841?
4
What is the ten thousands digit of 997968?
9
What is the hundred thousands digit of 25117985?
1
What is the tens digit of 863620?
2
What is the hundreds digit of 2588067?
0
What is the tens digit of 1888854?
5
What is the hundred thousands digit of 2692307?
6
What is the hundreds digit of 213159?
1
What is the tens digit of 65472?
7
What is the ten thousands digit of 57119?
5
What is the ten thousands digit of 241878?
4
What is the hundreds digit of 7983254?
2
What is the hundred thousands digit of 7581297?
5
What is the ten thousands digit of 493784?
9
What is the thousands digit of 3785110?
5
What is the units digit of 5724302?
2
What is the millions digit of 1768599?
1
What is the tens digit of 56500?
0
What is the thousands digit of 181042?
1
What is the units digit of 6627245?
5
What is the hundred thousands digit of 1631211?
6
What is the hundreds digit of 2335765?
7
What is the hundred thousands digit of 8787909?
7
What is the hundred thousands digit of 2149868?
1
What is the units digit of 2536791?
1
What is the thousands digit of 140962?
0
What is the millions digit of 1823672?
1
What is the thousands digit of 78414?
8
What is the thousands digit of 348847?
8
What is the millions digit of 15061536?
5
What is the units digit of 361273?
3
What is the thousands digit of 2891707?
1
What is the units digit of 22951?
1
What is the thousands digit of 3236916?
6
What is the ten thousands digit of 251997?
5
What is the hundred thousands digit of 390674?
3
What is the ten thousands digit of 7515903?
1
What is the tens digit of 90221?
2
What is the thousands digit of 25669245?
9
What is the units digit of 2161480?
0
What is the ten thousands digit of 2026302?
2
What is the tens digit of 560945?
4
What is the hundred thousands digit of 19173019?
1
What is the thousands digit of 15685714?
5
What is the tens digit of 154027?
2
What is the units digit of 7294963?
3
What is the thousands digit of 445156?
5
What is the tens digit of 4051041?
4
What is the hundreds digit of 579402?
4
What is the units digit of 71633?
3
What is the units digit of 2185607?
7
What is the hundred thousands digit of 856152?
8
What is the millions digit of 19158392?
9
What is the tens digit of 413077?
7
What is the units digit of 13695662?
2
What is the tens digit of 4743843?
4
What is the thousands digit of 4401181?
1
What is the units digit of 5994880?
0
What is the units digit of 539660?
0
What is the ten thousands digit of 112075?
1
What is the units digit of 3453?
3
What is the hundred thousands digit of 348247?
3
What is the hundreds digit of 380569?
5
What is the tens digit of 9420157?
5
What is the tens digit of 566509?
0
What is the ten thousands digit of 72212?
7
What is the hundreds digit of 618886?
8
What is the hundred thousands digit of 1795986?
7
What is the hundreds digit of 5347576?
5
What is the hundreds digit of 192759?
7
What is the ten thousands digit of 598139?
9
What is the thousands digit of 39277210?
7
What is the hundred thousands digit of 23217916?
2
What is the ten thousands digit of 20544?
2
What is the units digit of 224625?
5
What is the ten thousands digit of 30427?
3
What is the thousands digit of 290587?
0
What is the ten thousands digit of 414134?
1
What is the ten thousands digit of 9395835?
9
What is the millions digit of 4005806?
4
What is the tens digit of 293396?
9
What is the hundreds digit of 3344045?
0
What is the units digit of 815716?
6
What is the tens digit of 3330613?
1
What is the hundreds digit of 14152010?
0
What is the units digit of 75060?
0
What is the units digit of 190796?
6
What is the ten thousands digit of 2924316?
2
What is the ten millions digit of 26789989?
2
What is the ten thousands digit of 18939454?
3
What is the tens digit of 3270453?
5
What is the ten thousands digit of 1022370?
2
What is the units digit of 12767714?
4
What is the hundreds digit of 18285612?
6
What is the millions digit of 31046239?
1
What is the hundred thousands digit of 298310?
2
What is the thousands digit of 409010?
9
What is the hundred thousands digit of 10040543?
0
What is the ten millions digit of 25504158?
2
What is the thousands digit of 227796?
7
What is the hundreds digit of 157936?
9
What is the hundreds digit of 4558508?
5
What is the tens digit of 1468797?
9
What is the ten millions digit of 11066338?
1
What is the hundreds digit of 4348185?
1
What is the thousands digit of 3020764?
0
What is the ten thousands digit of 20341655?
4
What is the ten thousands digit of 328772?
2
What is the hundred thousands digit of 220700?
2
What is the thousands digit of 1094665?
4
What is the hundreds digit of 903137?
1
What is the tens digit of 97466?
6
What is the millions digit of 3365487?
3
What is the thousands digit of 152826?
2
What is the tens digit of 2683647?
4
What is the millions digit of 2288743?
2
What is the tens digit of 1987284?
8
What is the hundreds digit of 2191247?
2
What is the hundreds digit of 3453102?
1
What is the thousands digit of 43216?
3
What is the thousands digit of 3701099?
1
What is the units digit of 2587735?
5
What is the units digit of 1099960?
0
What is the thousands digit of 624446?
4
What is the thousands digit of 392274?
2
What is the units digit of 48663?
3
What is the ten thousands digit of 247805?
4
What is the hundred thousands digit of 14211811?
2
What is the millions digit of 19676161?
9
What is the tens digit of 3626973?
7
What is the units digit of 2427383?
3
What is the thousands digit of 5078242?
8
What is the units digit of 40855588?
8
What is the thousands digit of 7830053?
0
What is the thousands digit of 6238158?
8
What is the thousands digit of 192778?
2
What is the ten thousands digit of 221560?
2
What is the millions digit of 3129288?
3
What is the ten thousands digit of 190772?
9
What is the ten thousands digit of 3811569?
1
What is the hundred thousands digit of 131419?
1
What is the units digit of 2430690?
0
What is the millions digit of 29922449?
9
What is the thousands digit of 1863455?
3
What is the tens digit of 393163?
6
What is the units digit of 620388?
8
What is the thousands digit of 660479?
0
What is the ten thousands digit of 3300960?
0
What is the units digit of 476335?
5
What is the tens digit of 5808628?
2
What is the tens digit of 284511?
1
What is the units digit of 19641516?
6
What is the ten thousands digit of 4942068?
4
What is the tens digit of 315752?
5
What is the hundred thousands digit of 1014602?
0
What is the ten thousands digit of 44915?
4
What is the tens digit of 3754730?
3
What is the thousands digit of 335661?
5
What is the ten thousands digit of 50149?
5
What is the ten thousands digit of 840812?
4
What is the ten thousands digit of 44451?
4
What is the thousands digit of 787204?
7
What is the hundred thousands digit of 12497945?
4
What is the ten millions digit of 11095403?
1
What is the tens digit | {
"pile_set_name": "DM Mathematics"
} |
tal of -736 and 5795.
5059
What is -3057 - 0.2?
-3057.2
What is -56 + 37066?
37010
What is -1.056 less than -4?
-2.944
Add -1291 and 0.2031.
-1290.7969
What is the difference between 30 and -302?
332
Subtract -0.031 from -13.933.
-13.902
What is 0.1702 + 0.025?
0.1952
-945 + -0.3
-945.3
Subtract 0.03 from -7140.
-7140.03
Total of 2 and 0.2446024.
2.2446024
-20.6 - -0.39
-20.21
Add -3462 and -7.
-3469
Work out -209.5 - -0.2709.
-209.2291
Calculate -17 + 163.
146
What is the distance between 469 and -14?
483
Put together 2.47 and -40.
-37.53
What is 0.0236 + 113?
113.0236
What is -0.21 + -903?
-903.21
What is -31 plus -1.2?
-32.2
-0.05 + -24.13
-24.18
What is the difference between 1.6 and -73?
74.6
Sum -3.99 and 152.2.
148.21
Work out -22 + -92.3.
-114.3
Put together 1.68 and -0.08714.
1.59286
-635+-2026
-2661
Add together -0.01 and 256474.
256473.99
Calculate 0.03 + -0.0373.
-0.0073
Work out 1.4 - 248.
-246.6
What is -0.4 - -0.017226?
-0.382774
What is 0.15 take away 74?
-73.85
Total of 0.23 and 1447.
1447.23
What is the distance between 5 and 3819747?
3819742
-34.158+-30
-64.158
Sum 8.9 and 35.
43.9
Subtract -19 from -0.263.
18.737
Work out -0.1 + -188.
-188.1
Work out -3 + -0.037.
-3.037
Calculate -0.07 + -0.286.
-0.356
Sum -0.657 and -113.
-113.657
Put together 2 and -3582.
-3580
Add together 1 and -291.97.
-290.97
-115 - -4.4
-110.6
What is -7450.9 - 6?
-7456.9
-350.1+335
-15.1
What is -5 less than -155?
-150
5.4+-0.17
5.23
What is -0.051 - 0.045?
-0.096
Sum 16 and 34.3.
50.3
Add together 27476 and 4.
27480
What is -130 + -1.2?
-131.2
Work out -0.38 - -22738.
22737.62
0.2 + -502427
-502426.8
-13.030933 - 0.2
-13.230933
What is 119 - -2.4?
121.4
Work out 0.5 + -1303433.
-1303432.5
What is -0.1 minus 51.69?
-51.79
Add together -142184 and -0.1.
-142184.1
What is 3 take away 2192?
-2189
779.61+0
779.61
Calculate 0.085475 + -6.
-5.914525
-352+0.37
-351.63
Calculate 141 - -6.
147
Subtract -1922 from -109.1.
1812.9
Work out -121 + 19.
-102
Add 1.8283 and 18.
19.8283
-3406 - -10
-3396
42.4 - 636
-593.6
15161 - -8
15169
Add together 0.18 and -0.03.
0.15
Add 0.1 and -1306.19.
-1306.09
What is 261 take away -0.5?
261.5
Calculate 0 - -6.47744.
6.47744
Add together 140 and 2000.
2140
What is 0.066 + 1.65?
1.716
What is 0.2 take away 4.096?
-3.896
What is 13.1 less than -37789?
-37802.1
What is 3933 less than 0.3?
-3932.7
Sum -0.062 and 17.
16.938
-8.8+-220
-228.8
Calculate 1643 - 8.95.
1634.05
Work out -130 - -78.
-52
Add together -13688 and 5.
-13683
Add together -3825 and -0.04.
-3825.04
Sum 0.08 and -1322.
-1321.92
-943626 - 0.2
-943626.2
Work out 0.8 - 5.171.
-4.371
Calculate 2.52 - -39.
41.52
What is -30136 minus 1?
-30137
What is the distance between -98 and 0.29747?
98.29747
Sum 192 and 0.062.
192.062
Add together 11 and -117.
-106
Calculate -745610 + -0.01.
-745610.01
What is -5060 - -625?
-4435
What is 11283.6 - 5?
11278.6
Add 5401 and 0.1.
5401.1
114+-123.49
-9.49
Add together 27 and -289.
-262
Calculate -478 + -1.
-479
What is 39 + -140?
-101
422 - 0.027
421.973
Subtract -4 from -0.60045.
3.39955
Calculate -184.8 + 0.0226.
-184.7774
-25.081+2
-23.081
What is -339 take away -222?
-117
What is -0.04209 less than 0.4?
0.44209
Total of -0.4 and -1274.
-1274.4
Work out -217829 + 4.2.
-217824.8
What is 0.036 plus 1150?
1150.036
Calculate -0.07 - -2.342.
2.272
What is -73.2 - 0.3?
-73.5
What is 29217 minus -0.09?
29217.09
Subtract 7436 from 0.04.
-7435.96
What is the difference between 0.38 and 0.096?
0.284
What is the difference between 34915 and -77?
34992
What is 0.4 less than 92.73?
92.33
Calculate -0.19 + 0.0342.
-0.1558
What is 12 take away -6.67?
18.67
Calculate 45.5 + -0.3.
45.2
What is -0.03 - 0.1103?
-0.1403
What is 1608 less than 155?
-1453
Subtract 541 from -0.271.
-541.271
Add 7 and -350.
-343
Sum 1.9 and 34.
35.9
Calculate 417 - 7.
410
What is -0.9 take away -0.3?
-0.6
What is -3108.1 plus -4?
-3112.1
Sum 0.3801 and 136.
136.3801
Add -16617 and 1.
-16616
Add 0.81977 and -1.
-0.18023
What is 0.26275 less than -35?
-35.26275
Add together 996 and 605.
1601
What is 0.276 minus -0.02?
0.296
Work out -3559 + -1.27.
-3560.27
What is 1830 less than -0.022?
-1830.022
Add together 0.11627 and 134.
134.11627
Add 0.3975 and -0.207.
0.1905
Subtract 0.5 from -542554.
-542554.5
-3 - 2301226
-2301229
Total of -1 and -8905.
-8906
79 - 460
-381
Sum 1.08 and -3.084.
-2.004
What is 0.5 less than 2994?
2993.5
Add together -2286242 and 3.
-2286239
28353 - 9
28344
-492734 - -0.3
-492733.7
Calculate -1 - 540.423.
-541.423
Subtract -0.032125 from 0.242.
0.274125
Subtract 16.32 from -86.
-102.32
-3 - -11102.8
11099.8
52 + -18.2
33.8
Put together 3.7 and 0.027.
3.727
Put together -0.5 and -7761.
-7761.5
Work out -0.08 - 195.21.
-195.29
Sum -4 and 28787.6.
28783.6
-0.31 - -290
289.69
What is 162695 less than -0.2?
-162695.2
What is 767 - 349?
418
Work out -2 + 6.26.
4.26
Put together 4.9 and -3.32.
1.58
What is 2 take away 0.18844?
1.81156
3+-1.89954
1.10046
Subtract 491 from -0.38.
-491.38
What is 2 minus 0.0416?
1.9584
What is 1 plus 0.18?
1.18
56865 - -4
56869
What is the distance between 14 and -37663?
37677
Total of 29.21 and 5.
34.21
What is the distance between 24.523 and -4?
28.523
Put together -35 and -1166.
-1201
Add -0.5 and -1497981.
-1497981.5
What is -7685 less than 0.3?
7685.3
Sum -2946 and 0.
-2946
Put together 23 and 1.3667.
24.3667
Add -0.3 and 522.
521.7
What is 7945 plus 0.33?
7945.33
What is -88.3 - 59?
-147.3
Total of -3522 and -2.
-3524
35242+-5
35237
2 + -2.3465
-0.3465
2219+24
2243
Add together 2 and -97.84.
-95.84
Total of -5 and -128310.
-128315
Sum -6140 and 0.2.
-6139.8
Work out -205 + 0.2283.
-204.7717
Put together 0.1 and -1075.
-1074.9
What is 1.34 - -57?
58.34
Work out -237 + 0.0067.
-236.9933
Calculate 0.4 + -1421306.
-1421305.6
Total of -0.705 and 22.1.
21.395
Total of -0.44 and 5.
4.56
Subtract 82.44 from 5.
-77.44
What is 168 less than -489.9?
-657.9
Calculate 104 - 31.
73
Add together 1.08 and -0.35.
0.73
Add 4 and -59.23.
-55.23
-0.1 - 497.615
-497.715
Calculate 3161 - -0.2.
3161.2
Subtract 0.2 from 1574.
1573.8
Total of 7806 and -13.
7793
What is the distance between 2 and -19171?
19173
Put together 0.4 and 261.
261.4
Sum 0.018 and -128.
-127.982
Sum -0.196 and -2275.
-2275.196
What is 16 plus 0.0361?
16.0361
Work out -2.32 - -0.08061.
-2.23939
1939 - 8275
-6336
Add 5 and 665.
670
Work out -0.19 - 34.3.
-34.49
Sum 0.02 and -1131.
-1130.98
Calculate -0.91 + 3.7.
2.79
What is 8 plus 0.0466?
8.0466
Calculate -90341 - -6.
-90335
What is the difference between -0.0626 and 3754?
3754.0626
Calculate 3 - 127014.5.
-127011.5
What is the distance between -0.5 and 12.1102?
12.6102
Add 0.1830009 and 0.3.
0.4830009
Put together -74325 and -0.5.
-74325.5
-129281 - -0.5
-129280.5
1847.5 + 7
1854.5
What is -0.0598 take away -0.04?
-0.0198
Sum 27.99 and -3.
24.99
Subtract 0.0682 from 0.0289.
-0.0393
0.0625 - 20
-19.9375
What is -404 + -82.07?
-486.07
Calculate 5 - 1299.
-1294
What is 1618 take away 0.6?
1617.4
What is -1679 + -3.2?
-1682.2
Work out 2850 + 0.79.
2850.79
0 + -14979
-14979
What is -19 less than -230?
-211
Sum 8571 and 0.4.
8571.4
What is -4645 plus 2?
-4643
Work out -0.2 + -3960.
-3960.2
Work out -20.1155 - -12.
-8.1155
Total of -29 and -11.
-40
Work out -0.68 - -101652.
101651.32
-565 - -9
-556
What is 2342.796 - 1?
2341.796
What is 0.4541 + -0.043?
0.4111
Calculate 7809 + 0.12.
7809.12
What is the difference between -1.025 and 3?
4.025
-2 + 93
91
Calculate 0.5 - 2418416.
-2418415.5
What is 1 minus 5557?
-5556
-35.2 - -2421
2385.8
What is -36.9 take away -2?
-34.9
Sum -5 and 0.62009.
-4.37991
What is -1842 minus -6.3?
-1835.7
What is the difference between -2.8 and -317.2?
314.4
Put together 1.89 and -1.86.
0.03
What is -2603 take away 0.5?
-2603.5
What is -0.1 - 0.652?
-0.752
Calculate 11554 - 0.058.
11553.942
What is 6347 plus -0.06?
6346.94
What is 991 - 1?
990
Sum 0.04 and -478.
-477.96
0.0447 + -0.1
-0.0553
Work out -137 + 13.
-124
-0.1515+3
2.8485
What is -0.03378 plus 4?
3.96622
4 + 583
587
0.1 + 2.1444
2.2444
Subtract 0 from 1435.518.
1435.518
Work out -0.85 - -3.
2.15
Total of 2959 and 0.1.
2959.1
Work out -9 - 588.
-597
-17.5+4
-13.5
Sum 18.4789 and -20.
-1.5211
What is -749.5 plus -12?
-761.5
Total of 814 an | {
"pile_set_name": "DM Mathematics"
} |
se
Suppose 6*d = d + 55. Is d a prime number?
True
Suppose 21 + 19 = 5*o. Let l(u) = o*u - 25*u + 0*u**2 - 3 - 3*u**2 + 2*u**2. Is l(-7) composite?
False
Let z(d) = -4*d**3 + 3*d**2 + 4*d + 1. Let l be z(-5). Let b = 15 + -12. Suppose -b*r - r = -l. Is r prime?
True
Suppose -2*z - 24 = -6*z. Is 62/z + (-1)/3 a composite number?
True
Let t = 4 - 1. Suppose 0 = -t*q + q. Suppose -s + 3*l = -4*s + 66, q = l - 1. Is s a prime number?
False
Is ((-10)/6)/(8/(-168)) prime?
False
Let v = 8 - 3. Suppose 26 = v*s + 5*j - 314, 4*j = -3*s + 205. Is s a prime number?
True
Let t = 30 - -25. Let u = t - -16. Is u a prime number?
True
Let p be ((-6)/(-5))/((-2)/(-30)). Suppose -13 = 3*d + 4*v, 30 + 35 = -5*d + 2*v. Let j = d + p. Is j composite?
False
Let a = 2878 - 1185. Is a a prime number?
True
Let a(r) = -222*r + 1. Is a(-4) a prime number?
False
Let a(i) be the third derivative of i**5/30 + i**4/3 + 5*i**3/6 + 2*i**2. Is a(11) prime?
False
Let d = -682 + 1941. Is d a composite number?
False
Suppose -h + 185 = 2*f, 5*h = -3*f + 255 + 33. Let r be ((-8)/(-10))/(14/105). Let o = f - r. Is o a composite number?
True
Let i(o) = o**2 + 2*o - 2. Is i(-13) composite?
True
Let h be 1*-857 - (-4 - -1). Let y = -607 - h. Is y composite?
True
Suppose 12*x - 575 = 7*x. Is x a composite number?
True
Is (-2)/(-5) + 12897/45 a prime number?
False
Let z(v) = 172*v**2 + v - 16. Is z(3) prime?
False
Let q(w) = 439*w**2 + 2*w + 1. Let b be q(-2). Suppose -5*h = 543 - b. Suppose i = -23 + h. Is i a prime number?
False
Let h = -8 + 11. Suppose 5*v + 2*a - 807 = 0, -331 = -h*v + 2*a + 166. Is v a composite number?
False
Let h(n) = 11*n**2 - 6*n + 4. Is h(9) composite?
True
Let t = 492 + -335. Suppose 7*k - 5*k - 89 = 5*z, -4*k + t = -3*z. Is k a prime number?
True
Suppose -12*g + 7*g = -1255. Is g composite?
False
Let g = 117 - -10. Is g a composite number?
False
Suppose -502 = -3*f + f. Let i = -70 - f. Let m = -206 - i. Is m prime?
False
Let h(f) = 3*f**2 - 3*f - 7. Is h(6) prime?
True
Suppose 2*y - 26 = -0*y. Let b = -23 + y. Is 1552/10 - (-2)/b a prime number?
False
Let y = -886 - -1499. Is y prime?
True
Suppose 587 = 4*z - 825. Is z a composite number?
False
Let n(f) = 29*f. Let p be n(1). Suppose p = 3*x - 2*u, 11 + 49 = 5*x - u. Is x prime?
True
Let f(n) = 2*n - 14. Let r be f(10). Let j = 4 - 4. Suppose j = o - r*o + 75. Is o composite?
True
Let t(n) = n**2 + 11*n + 2. Let r be t(-11). Suppose 2*h + 0*s - 4*s = 166, -s = r*h - 176. Is h a composite number?
True
Suppose 5 + 15 = 5*m. Let z be 662/14 + m/(-14). Suppose 5*h = -z + 152. Is h composite?
True
Let k(i) = 2*i**2 + 11*i - 12. Is k(-13) composite?
True
Let z(j) = -22*j - 3. Let t(c) = 21*c + 2. Let i(o) = 3*t(o) + 2*z(o). Is i(3) a composite number?
True
Let j(x) = 2*x**2 - 3*x - 3. Let k be j(3). Is -74*3/k*-2 a prime number?
False
Let v be 1/(4/(-1 - -5)). Is (v*2536)/4 + 1 a prime number?
False
Let p = 55 + 419. Suppose -251 - p = -5*h. Is h prime?
False
Let r = 3 - 5. Is ((-4)/4)/(r/38) composite?
False
Let s(o) = -4*o**3 - 2*o**2 - 2*o. Let y be s(-2). Suppose 4*x - y = -0*x. Is x a prime number?
True
Let y(l) = 29*l**3 + 9*l**2 - 9*l + 9. Is y(4) composite?
False
Suppose q - 36 = 5*r - 130, -92 = -5*r + 3*q. Is r composite?
False
Let v = -1149 + 1663. Is v composite?
True
Let t(g) = 13*g + 5. Is t(12) composite?
True
Suppose v + 195 = -114. Is -4*(v/12 + 0) composite?
False
Let l be (-1 + 0)/((-3)/(-6)). Let o(c) = c**3 + 3*c**2 - 4*c - 3. Is o(l) a composite number?
True
Suppose -2*x - 3 = 5. Let k be (-24)/6*(-2)/x. Is -2 + 0 + 73 + k a composite number?
True
Let l(q) = 18*q - 2*q + 21*q - 4*q - 1. Is l(4) a prime number?
True
Suppose 140 = -0*o - 4*o. Is (0 - o - 0) + 2 a prime number?
True
Suppose 3*b - 151 = 122. Let n be b + 2 - 0/2. Suppose -4*p = 5*d - n, 5*d + p - 65 = 37. Is d a prime number?
False
Let n(m) = 136*m + 3. Is n(5) a composite number?
False
Suppose 0 = -5*r + 52 + 3. Suppose -2 = -f + r. Is f a composite number?
False
Suppose h + 59 = 2*h. Suppose 3*t - 4*t = -h. Is t a prime number?
True
Suppose 2*g - 6*g = 0. Let q be (g + -1)*2*-107. Suppose i - 2*l = 5*i - q, 0 = -5*i - l + 266. Is i a composite number?
False
Let m = -241 + 584. Suppose 0 = r - m - 546. Is r a composite number?
True
Suppose -3*t = -t - 4*y - 10, 4*t + 4*y - 68 = 0. Is t prime?
True
Is ((-717)/15)/(1/(-5)) composite?
False
Let w = 11 + -8. Suppose 0 = -5*m + 25, -4*o + 0*m - 3*m + 711 = 0. Suppose -w*p + o = -p. Is p composite?
True
Let p(w) = 8*w**3 + 6*w - 10. Is p(4) a prime number?
False
Let n(k) = -k**2 - 7*k + 1. Suppose 50 = 5*t + 5*q, 3*t + 18 = -4*q + 53. Suppose -w = -5*i - 7, -t*w + 6*i = i + 5. Is n(w) prime?
True
Let c = 8 + -5. Suppose 598 = -i + c*i. Suppose -3*g + 4*w = -i, -380 = -2*g - 2*g - 4*w. Is g a composite number?
False
Let b(i) be the first derivative of i**4/4 + i**3/3 + i**2/2 + 34*i - 3. Is b(0) a prime number?
False
Let d be (42/(-12))/(1/(-94)). Let z = d + -34. Is z a composite number?
True
Let i(r) = r - 4. Let d be i(7). Suppose 3*n + d = -5*q, -2*n - 2*n = -4*q - 28. Let f(z) = z**2 - 2*z - 1. Is f(n) a prime number?
True
Let z(s) = -s + 4. Let l be z(4). Suppose l*t = 2*t. Suppose -4*h + h + 45 = t. Is h prime?
False
Let m = -39 + 166. Is m composite?
False
Suppose 0 = -z + 1 - 2. Suppose 0 = -3*n + g, -4*g = -4*n + 2 + 6. Is (6 - 0) + z/n a composite number?
False
Let q be -41 + 0 + (0 - 0). Let x = 19 + q. Let j = 9 - x. Is j composite?
False
Is (14/8)/(3 - 42136/14048) composite?
True
Suppose -2*o + 2*m = 571 - 1927, -5*m - 682 = -o. Is o a prime number?
True
Suppose 5 + 7 = 4*b - 3*u, -4*b = u - 12. Suppose -n - b*n = 5*t - 279, -2*n = -3*t - 145. Let r = n + -50. Is r prime?
False
Let k(p) be the third derivative of 1/2*p**3 - 1/60*p**5 + p**2 + 0 + 1/8*p**4 + 0*p. Is k(3) composite?
False
Let u = 0 - 0. Suppose u*h + 2*h = 118. Is h a composite number?
False
Let x be (-6)/(-9)*18*-3. Let y = x - -134. Suppose -4*w - g + 256 + y = 0, 3*g - 83 = -w. Is w composite?
False
Is (50/(-4) + 1)/(29/(-638)) composite?
True
Is -1*-1126*4/8 a composite number?
False
Let c(n) = 6*n - 5*n**2 - n**2 + n**2 + 3 + 0*n**2 + n**3. Let w be c(5). Suppose -2*f = -499 + w. Is f prime?
True
Is 1/(-6)*-3*130 composite?
True
Suppose -1011 = 3*t - 2877. Suppose j + 1174 = 5*x, -5*x = -4*j + t - 1793. Is x prime?
False
Suppose 0 = -5*c + 5*n + 1 + 9, -3*c + 4 = -5*n. Suppose -300 - 687 = -c*u. Is u composite?
True
Let a be 50/(-15)*6/2. Is (-2126)/a + 20/50 a composite number?
True
Suppose -6*f + 6349 = f. Is f a composite number?
False
Let o(d) = d**3 + 7*d**2 + 16*d - 4. Is o(7) a composite number?
True
Let p be 3 + -6 - -1 - -669. Let n = 1048 - p. Is n a composite number?
True
Let c be (1/2)/((-5)/(-410)). Suppose c + 27 = 2*j. Is j composite?
True
Suppose 0 = -y - 2*z + 8 + 12, 4*y - z = 44. Is 106/2 - (y + -14) a composite number?
True
Let b(v) = 3*v**2 + 16. Is b(7) prime?
True
Suppose -11*f = -13*f + 614. Is f a prime number?
True
Suppose 4*k = -5*t - 12, 3*t + 0*t + 14 = k. Is 2/t*0 + 251 a composite number?
False
Let y(l) = -140*l + 3. Let r be y(-4). Suppose -4*k + j + j = -744, -3*k = j - r. Is k prime?
False
Let y = 862 + -489. Is y a prime number?
True
Let m = 2 + 1. Let s(b) = 3*b**3 - 4. Let t be s(m). Suppose -2*g + 58 = 2*f + 18, -t = -4*g - 5*f. Is g prime?
True
Let m(r) = 39*r**2 + 3*r. Let d be m(-3). Let o = d - 209. Is o composite?
True
Let m(k) = 9*k**2 + 3*k + 7. Suppose -10 = 3*i - i. Is m(i) a composite number?
True
Suppose -5*q - j = -32, -q + 4*j - 20 = -3*q. Let i(d) = -3*d - 2*d**2 - 8 + q + 4*d**3 - 5*d**3. Is i(-2) a composite number?
True
Is 2376/3 - (2 - 1) a prime number?
False
Suppose 3*r - r = -4*v + 502, 0 = v + r - 124. Is v prime?
True
Let i(t) = -6*t - 1. Let l be -3 + (0 - -3)/(-3). Let n be i(l). Suppose 5*y - 12 = n. Is y prime?
True
Is ((-41)/2)/(2/(-28)) prime?
False
Let v be 0/(-1 + -1 - -1). Suppose 3*u + v*u + 3*g = 1755, u = -4*g + 591. Is u prime?
False
Suppose 71*i = 74*i - 3849. Is i prime?
True
Let m(c) = 11*c**2 + 3*c - 1. Let y be (3/(-3))/1 + -2. Is m(y) composite?
False
Let r(o) = 2*o - 7. Let i be r(-7). Let l = i - -35. Is l a composite number?
True
Let y = -561 - -1088. Is y a prime number?
False
Is 4862/14 + 8/(-28) a composite numb | {
"pile_set_name": "DM Mathematics"
} |
5 + 20 = -y + 5*d. Let h(x) = x**2 - 2*x**2 - 82 + y*x**2 + 8*x + 80. Determine h(7).
5
Let u = -42 + 28. Let c = 9 + u. Let a(q) be the third derivative of q**6/120 + q**5/10 + 5*q**4/24 + 5*q**3/6 - 2*q**2. Determine a(c).
5
Let n(x) = -2*x**2 + 11*x. Suppose -3*h + 9 = 2*r, 29 = -2*r + 6*r - 5*h. What is n(r)?
-6
Suppose 0 = -7*d + 9*d - 1310. Let i(x) = -x**2 - d - x + 654 - x. What is i(-1)?
0
Let n(f) be the third derivative of f**5/30 + f**4/4 - 2*f**3/3 - 3*f**2. Determine n(-3).
-4
Let q(j) = -14*j + 20. Let a(o) = 17*o - 22. Let n(d) = -3*a(d) - 4*q(d). What is n(5)?
11
Suppose -3*n + 8*n - 25 = 0. Let k(u) = -u**3 + 6*u**2 - 7*u + 6. Let c be k(n). Let j(s) = -s. Let a(d) = -3*d. Let p(h) = a(h) - 2*j(h). What is p(c)?
4
Suppose 91 = -3*g + 16*g. Let m(x) = -x**2 + 11*x - 8. Determine m(g).
20
Let o(y) = -13*y - 59. Let r be o(-4). Let b(q) = -2 + 5 - q - 4. Determine b(r).
6
Let z(h) = 4 - 3 - h - 6 + 3. Suppose 12*d - 13*d + 3 = 0. Suppose -4*f + d*s - 5*s = 6, 2*f + 13 = s. Give z(f).
2
Let m(h) = -5*h + 337 + 339 - 1019 + 342. Let i be -3*(16/3)/(-4). Suppose -z = -4*c + 3 + 3, -4*z - i*c = 4. Calculate m(z).
9
Let a(n) = -252*n + 1255. Let i be a(5). Let z(l) = 13*l + 11. Let p(v) = v + 1. Let w(k) = 22*p(k) - 2*z(k). What is w(i)?
20
Suppose -g - 3*g + 8 = 0. Let f(b) = -g*b + 0*b + 3*b. Let o be -16 + 31 - 24/2. Give f(o).
3
Suppose o - 5 - 3 = c, 0 = -5*o - 3*c + 8. Let d(b) = b**2 - b - 5. Determine d(o).
7
Let c(x) = x**3 - 6*x**2 - 4*x - 3. Let q be c(7). Let w = q - 15. Let u(i) = -5*i**3 + 12*i**3 + 0*i**2 + i**2 - 1 + 4*i**w. What is u(1)?
11
Suppose 19 = -14*h - 79. Let n(g) = g**2 + 5*g - 2. What is n(h)?
12
Let j = 17 + -17. Suppose 3*q + 0 + 3 = j. Let s(v) = 4*v**3 + 1. Let r(m) = -m**3 - m**2. Let a(z) = -r(z) - s(z). Give a(q).
3
Let j(o) be the first derivative of o**3/3 + 3*o**2 + 3*o - 18. Let h = -2 + 11. Let p be 2*(-6)/h*3. What is j(p)?
-5
Let t be -2 - 8/(-3)*15/10. Let c be 26/(-39)*3/t. Let a(m) be the first derivative of 3*m**4/4 + 2*m**3/3 + m**2 + m - 1. Determine a(c).
-2
Let u(d) = -3*d + 3. Let x = 34 - 31. Let i be ((-6)/x + 4)*(0 - -1). Determine u(i).
-3
Suppose 2*t + 1 = 5. Let y(u) = u + t + 2*u - 5*u. Suppose 8 - 50 = -5*h - 2*f, 12 = h + f. Give y(h).
-10
Let h = 1776 - 1775. Let x(q) = -2*q**2 + 0 + q**2 - 1 + 0. Give x(h).
-2
Let x(n) = 1 + n - 8*n + 7*n - n. What is x(9)?
-8
Suppose 17*f - 12*f - 30 = 0. Let z(r) = -r - 1. Give z(f).
-7
Let q(h) be the first derivative of h**3/3 + h**2/2 + 2*h + 1. Let i(l) = l**2 - 6*l - 8. Let r be i(9). Suppose 15*f - r*f = 0. Calculate q(f).
2
Let a = 2983 + -2965. Let j(r) = 3*r - 52. Give j(a).
2
Let l(i) = -i - 7. Let q = 4 + -3. Let d(n) = -n - 1. Let r(z) = q*l(z) - 2*d(z). Let s = -438 + 445. What is r(s)?
2
Let b(r) = -11 + 5*r**2 - r**2 + 15 + 3*r - 3*r**2. Calculate b(-6).
22
Let x(q) be the third derivative of q**5/60 + q**4/4 - 7*q**3/6 - q**2 - 2*q. Give x(-7).
0
Let x(y) = -y**3 + 7*y**2 - 5*y + 4. Let k(a) = 6*a - 156. Let d be k(27). Calculate x(d).
10
Let s be 112/49 - (-4)/(-14). Suppose s*c = c - 4. Let v(u) = -7 - 15*u + 28*u - 14*u. What is v(c)?
-3
Let v(o) be the second derivative of o**3/3 + 17*o**2/2 + 316*o. Determine v(-8).
1
Let f(c) = -c**2 - 5*c - 3. Let q be f(-3). Suppose 11 + 1 = -q*b. Let h be -4 + (0 - b) + -3. Let m(w) = -w**3 - 4*w**2 - 3*w. Calculate m(h).
0
Let u = 29 + -27. Let b(k) = 2. Let t(f) = -f**2 - 2. Let w(x) = u*b(x) + 2*t(x). Give w(1).
-2
Suppose 0 = k - 4*i - 21, -3*i + 2 = 2*k + 15. Let j be ((-1)/4*k)/(2/8). Let l(p) = -11*p**2 + p + 1. Determine l(j).
-11
Let s(h) be the second derivative of 2*h**5/5 - h**4/6 + h**3/3 - h**2/2 - 279*h. What is s(1)?
7
Let k be (38/247)/((-2)/(-13)). Let t(m) = -7*m. Calculate t(k).
-7
Let y(a) = 37*a**3 - 30*a**2 + 3*a - 2. Let w be y(1). Let b(r) be the second derivative of r**4/12 - 4*r**3/3 + 2*r**2 - r. What is b(w)?
4
Suppose -13*g = g. Let s(a) = a**2 + a + 6. What is s(g)?
6
Let c(o) = o**2 + 3*o - 3. Suppose -3*a + a - 8 = 0. Determine c(a).
1
Let s(u) be the third derivative of 1/24*u**4 + 0*u - 5*u**2 - 1/60*u**5 - 2/3*u**3 + 1. Calculate s(0).
-4
Let h = 948 - 942. Let a(y) = 2*y - 15. Let j(c) = c - 7. Let r(d) = 2*a(d) - 5*j(d). Give r(h).
-1
Let c = -12 + 15. Let j be (0 - 0)/(-6 + c). Let t(k) = j*k + 1 + 3 - 7*k + 6*k. What is t(0)?
4
Let h = 281 + -285. Let o(b) = b**3 + 2*b**2 - 2*b - 6. What is o(h)?
-30
Let z(n) = 10*n**3 + n**2. Suppose -2*f - 12 = j, 0*j + 4*j - f + 3 = 0. Let q = -7 + j. Let u = -8 - q. Give z(u).
11
Let a(l) = -l**3 - 4*l**2 + 6*l - 5. Suppose 2*b = 12*b + 70. Let y(w) = -w**3 - 7*w**2 + 4*w + 23. Let s be y(b). What is a(s)?
-10
Let k be (-3)/(6 + -9) + 2. Let y(m) = m**2 + m - 1. What is y(k)?
11
Suppose 0 = 91*k - 100*k + 54. Let q(j) = j - 10. Let b(r) = 2*r - 19. Let o(y) = -6*b(y) + 11*q(y). Give o(k).
-2
Let r(q) be the second derivative of -q**5/20 + 5*q**4/12 + 2*q**3/3 + 5*q**2/2 - 14*q + 15. What is r(6)?
-7
Let h = 0 + 1. Let s(p) = -1059*p**2 + 2*p**3 - 7*p**3 + 1058*p**2. Determine s(h).
-6
Let x(j) = -j**3 - 11*j**2 - 4*j - 3. Let z(h) = -h**3 - 10*h**2 - 5*h - 2. Let q be 6*(-1)/(-3) - 4. Let y(n) = q*x(n) + 3*z(n). Calculate y(-7).
0
Let d(r) = -r**2 + 13*r - 20. Let k be (72/180)/(2/60). What is d(k)?
-8
Let z(h) be the first derivative of 11*h**4/4 - h**3/3 + 3*h**2/2 - h - 32. Calculate z(1).
12
Let s(f) = -2*f**3 + f**2 - 5*f - 3. Suppose 2*w + 2 = -6. Let i = -15 + 14. Let k(t) = -t**2 + t + 1. Let x(d) = i*s(d) + w*k(d). What is x(-2)?
-7
Let p(b) = -b - 11. Suppose 4*a - 184 = -184. Give p(a).
-11
Suppose -b + 3*b = -3*x + 12, x = 0. Let f(c) = c + b - 2*c + 0*c. Let p(g) = g**2 + 28*g - 24. Let q be p(-29). Determine f(q).
1
Let r be (3 + -3 - 1) + -2. Let v(s) = s**2 + 2*s - 1. Let f be v(r). Let q(l) = 3 + 3*l**2 + 4*l**2 - 5 - 6*l**f. What is q(0)?
-2
Let l be (8/10)/(6/15). Suppose -5*j + l = -3*j. Let z(f) be the third derivative of f**5/15 - f**4/12 + f**3/6 + 9*f**2 + f. Determine z(j).
3
Let d be 361/38 + 3/2. Let v(q) = q**3 - 12*q**2 + 10*q + 16. Give v(d).
5
Let l = 12 + -10. Let y(f) = 7*f**l + 3*f + f**3 + 5*f**2 + 9*f**2 + 1 - 17*f**2. Let k be (1 - 0) + (-5 - -1). What is y(k)?
1
Let m(u) be the second derivative of u**3/3 - u**2 + 4*u. Let b(s) = -s**3 - s**2 - s - 7. Let t be b(0). Let o = -10 - t. What is m(o)?
-8
Suppose 3*y = -m - 2*m - 3, y = -5*m - 21. Let u(z) = y + 0*z + 1 - 2*z. Determine u(4).
-3
Let u(v) be the first derivative of -1 - 1/2*v**2 + 3*v. Suppose q + 4*i - 13 = -0*i, 2*q + i = 12. Give u(q).
-2
Let l(u) = -u - 4. Suppose 2 + 12 = -2*b. Let z be l(b). Let t(f) = -4*f - 2*f - f**2 - z - 1. Give t(-5).
1
Let j = -301 + 306. Let h(n) be the third derivative of -2*n**2 + 0*n + 1/12*n**4 + 1/30*n**j - 2/3*n**3 + 0. What is h(-3)?
8
Let j(d) = 2*d - 6*d - 5 - d - d**3 - 3*d**2 - 2*d**2. Give j(-4).
-1
Suppose 4*z - c = -4, -15 + 1 = z + 3*c. Let b(q) be the second derivative of q**6/240 - q**4 + 6*q. Let o(a) be the third derivative of b(a). What is o(z)?
-6
Let u(f) = -20*f + 41. Let o(l) = -10*l + 11. Let x(j) = -19*j + 23. Let z(r) = -5*o(r) + 3*x(r). Let m(y) = 6*u(y) - 17*z(y). Determine m(0).
8
Suppose 2*z + 6 = 18. Let g(y) = y**3 - 5*y**2 - 3*y - 11. Let p be g(z). Let n(v) = v - 10. Determine n(p).
-3
Let n(l) = 2*l - 2. Let x = -812 + 804. What is n(x)?
-18
Let k(o) = -o**2 + 3*o + 2. Let m(y) = -y**3 - 12*y**2 - 11*y + 8. Let b be m(-11). Let w = 20 - 16. Suppose -b*u + w*u = -12. Give k(u).
2
Let p(s) = -3*s**2 + 30*s**3 + 3*s - 67*s**3 - 1 + 36*s**3. Suppose 0 = 3*x - x. Suppose -4*j - b - 10 = 0, -j + x = -b + 5. Calculate p(j).
-10
Suppose -5*x = 4*s - 2, -2*s - 4 = 4*x - 8. Let t(f) = -5*f + 14. Calculate t(x).
4
Suppose -10*g + 21*g + 66 = 0. Let d(n) = -n**2 - 9*n - 26. Give d(g).
-8
Let h(j) = 4*j - 59. Suppose -49*r + 153 = -533. What is h(r)?
-3
Let w(q) = -4*q + 19. Let i(o) = 3*o - 13. Let h(p) = -3*i(p) - 2*w(p). What is h(-5)?
6
Let n(z) = 3*z + 8. Suppose 37*v - 7 = 30*v. Let b be v - 0 - 49/7. Determine n(b).
-10
Let p(l) = -5*l - 380. Let k be p(-75). Let y be (6/4)/(6/16). Let g(f) = -f**3 - 2 + 0*f**2 - 5*f**2 - y*f + 0. What is g(k)?
18
Let y(l) be the third derivative of 0*l + 8*l**2 - 1/6*l**4 + 1/120*l**6 - l**3 - 1/12*l**5 + | {
"pile_set_name": "DM Mathematics"
} |
- 4*g = 27. Let f(m) = -7*m**2 + 9*m + 5. Let s(v) = -3*v**2 + 4*v + 2. Calculate q*s(h) + 2*f(h).
h**2 - 2*h
Let z(o) = -4*o**3 + 5*o**2 + 3*o. Let n(x) = -3329*x**3 - 2 + 2 - 6*x**2 + 3*x + 3334*x**3 - 6*x. Calculate -5*n(h) - 6*z(h).
-h**3 - 3*h
Suppose -k - y = -2*y - 12, 0 = 5*k + 2*y - 46. Let v(z) = z**2 + z. Let w(j) = -3*j**2 - 2*j. What is k*v(m) + 5*w(m)?
-5*m**2
Let d(c) = -c**3 - c - 1. Let w(z) = -61 + 16*z + 64 + 4*z**3 - 4*z**2 - 12*z - 2*z**3. Calculate -3*d(h) - w(h).
h**3 + 4*h**2 - h
Let s(d) = d + 2. Let y(f) = 4*f**2 - 4*f - 7. Let i(t) = -2*s(t) - y(t). Let h(p) = 3*p**2 - p - 2. Calculate 3*h(m) + 2*i(m).
m**2 + m
Let o(b) = -9*b**2 - 190*b + 57*b + 69*b + 64*b. Let d(t) be the first derivative of t**3/3 - 1. What is 24*d(f) + 3*o(f)?
-3*f**2
Let n(d) be the first derivative of d**2 - d + 283. Let m(i) = -2*i + 1. Calculate -5*m(t) - 6*n(t).
-2*t + 1
Let u(v) = -6*v**3 + 3*v**2 - 2*v + 3. Let b be -4 + (-7 + 16 - 6). Let y(j) = j**3 - j**2 - 1. Determine b*u(x) - 3*y(x).
3*x**3 + 2*x
Let d(b) = -b**3 + 64*b**2 - 2*b + 2. Let f(r) = -65*r**2 + 3*r - 3. What is 6*d(m) + 4*f(m)?
-6*m**3 + 124*m**2
Suppose -17*p = -18*p + 79. Let b = p + -74. Let n(x) = x**3 - 5*x**2 - 7*x + 2. Let a(o) = o**3 - 4*o**2 - 6*o + 2. Give b*a(v) - 4*n(v).
v**3 - 2*v + 2
Let g(l) = -5*l. Suppose 20 + 65 = 5*u. Let n(y) = -106 + 106 - 14*y. Calculate u*g(a) - 6*n(a).
-a
Let w(s) = 7*s - 3. Let j = -62 - -63. Suppose -3*z + 3 = 2*n - j, -4*z + 4 = 2*n. Let m(r) = -3*r + 1. Determine n*w(t) + 5*m(t).
-t - 1
Let v(g) = -17*g - 7. Let k = -2108 - -2102. Let p(f) = -9*f - 4. Let h(l) = -3*l - 4. Let j be h(-5). Determine j*p(o) + k*v(o).
3*o - 2
Let s(t) = 25*t**3 - 7*t**2 + 11*t - 33. Let q(f) = -13*f**3 + 3*f**2 - 6*f + 18. Calculate -11*q(k) - 6*s(k).
-7*k**3 + 9*k**2
Let d = -2 - -3. Let z be 0 + (-1 + -1)/(-1). Let s(v) be the first derivative of 3*v**2/2 + v - 1135. Let k(i) = -i - 1. Give d*s(g) + z*k(g).
g - 1
Let n(w) = 12*w - 1. Let k(z) = 35*z - 6. Let i be k(0). Let m(x) = 12*x - 1. What is i*m(u) + 5*n(u)?
-12*u + 1
Let p(n) = -6*n**3 - 3*n**2 - 3. Let o(h) = h**3 + h**2 + 1. Let l = 687 - 684. Give l*p(x) + 9*o(x).
-9*x**3
Let x(l) = -l - 1. Let c(p) = -2*p. Let r(a) = -2*c(a) + 2*x(a). Let n be (-33)/(-9) + 1/3. Let d(t) = 2*t - n*t + 27 - 25. Calculate 3*d(u) + 2*r(u).
-2*u + 2
Let j(p) = -25. Let l(m) = -m - 27. Determine 3*j(z) - 2*l(z).
2*z - 21
Let q(s) = 413*s - 9. Let u(a) = -827*a + 15. Calculate -5*q(h) - 3*u(h).
416*h
Let f(z) be the first derivative of -2*z**3/3 + 3*z**2 + 6*z - 82. Let p(x) = -x - 1. Determine -2*f(y) - 14*p(y).
4*y**2 + 2*y + 2
Let r(q) = -q**2 + 11*q + 8. Let y(s) = 3*s - 3. Let o be y(3). Let l be 1 - (-8)/(-6) - (-20)/o. Let h(g) = -4*g - 3. Give l*r(k) + 8*h(k).
-3*k**2 + k
Let a(y) = -y**2 + 1. Let p(k) be the third derivative of k**5/10 - 7*k**3/6 + 88*k**2. Give -35*a(f) - 5*p(f).
5*f**2
Let n be -25*-7*11/(-385). Let y(p) = -2*p - 7. Let o(l) = l + 6. Calculate n*y(h) - 6*o(h).
4*h - 1
Let c(x) = -10*x. Let k(o) = 1. Let h be 8/6*222/148. Calculate h*k(t) + c(t).
-10*t + 2
Let i(q) = q + 2. Let p(r) = -r + 25. Let x be p(-11). Let o = -27 + x. Let h(z) = -5*z - 9. Give o*i(c) + 2*h(c).
-c
Let s(y) = -31*y + 13. Let n(w) = -w**2 - 35*w - 202. Let r be n(-7). Let i(o) = 16*o - 7. Determine r*s(u) - 11*i(u).
10*u - 1
Let d(n) = 4*n. Let k be 3*(4 + -3)/(-7 + 8). Let f(b) be the first derivative of 6*b**2 - 1. Calculate k*f(t) - 10*d(t).
-4*t
Let s(f) = 2*f**3 + 16*f - 88. Let n(i) = 3*i. Determine 6*n(q) - s(q).
-2*q**3 + 2*q + 88
Let x(z) = -6*z**3 - 3*z + 3. Let o(b) = -5*b**3 - 409 + 0*b - 2*b + 411. Calculate 3*o(n) - 2*x(n).
-3*n**3
Let l(y) = -3*y**3 + 5*y**2 - 3*y. Let u(q) be the first derivative of -q**4/4 + q**3/3 + q**2/2 - 564. Give l(s) - 5*u(s).
2*s**3 - 8*s
Let d(v) = -2*v**3 + v**2 + v - 1. Let n(w) = -10*w**3 + 4*w**2 + 4*w - 75. Give 4*d(u) - n(u).
2*u**3 + 71
Let o(i) = -3*i - 1. Let j(p) be the first derivative of p + 1. Let f(k) = j(k) - o(k). Let m(a) = -a. Suppose d = -0*d - 1. What is d*m(s) - f(s)?
-2*s - 2
Suppose 4*g = -0 + 4. Let w(b) = -b. Let f(x) be the first derivative of 1/2*x**2 - 29 + x. Determine g*w(y) + 2*f(y).
y + 2
Let g(w) be the third derivative of w**4/24 - w**2. Suppose 4*p - 15 = -h, -5*h = -3*p + 2 + 15. Let a(b) = -3 - 2*b + 1 + 0. Determine h*g(c) - a(c).
c + 2
Let t(u) = -6*u**2 - 3*u + 7. Let n(z) = 15*z**2 + 5*z - 15. Give 3*n(y) + 5*t(y).
15*y**2 - 10
Let j(q) = -102*q - 190. Let l(n) = 34*n + 68. Let b(g) = -5*j(g) - 14*l(g). Let x(r) = -17*r + 1. Calculate 6*b(s) + 13*x(s).
-17*s + 1
Let b(i) be the first derivative of -i**2/2 + 2. Let v(m) = -2. Suppose 2*g - 3*h = 17, -4*g - 9 = 2*h - 3. Suppose -3*x = -2 - g. What is x*v(o) - 2*b(o)?
2*o - 2
Let w(n) = -2*n + 86. Let q(t) = 2*t - 43. Calculate -5*q(h) - 3*w(h).
-4*h - 43
Let x(n) = 2*n**3 + n**2. Let j(f) = 3*f**3 + 4*f**2 + f - 34. Calculate -j(g) + 3*x(g).
3*g**3 - g**2 - g + 34
Let f(u) = -24*u**2 + 3*u + 3. Let q(m) = 455*m**2 - 56*m - 56. What is -56*f(s) - 3*q(s)?
-21*s**2
Let h(v) = 8*v - 10. Let y(f) = -9*f + 9. Calculate 5*h(x) + 6*y(x).
-14*x + 4
Suppose 0 = -15*m + 225 - 315. Let g(f) = f + 5. Let b(a) = 1. Calculate m*b(q) + g(q).
q - 1
Suppose 1 = -c + i, 3*c - 8*c - 4*i = -40. Let f(t) = -6*t**2 - 4. Let k(n) = 6*n**2 + 5. Give c*k(j) + 5*f(j).
-6*j**2
Let b(k) = 19*k**3 - k**2 - 5*k. Let m(d) = -d**3 - 31*d**2 + 5*d + 158. Let a be m(-31). Let r(l) = 10*l**3 - l**2 - 3*l. What is a*b(x) - 5*r(x)?
7*x**3 + 2*x**2
Suppose -3212*n + 3201*n = -33. Let l(k) = 4*k**3 + 5*k**2 - k - 3. Let q(p) = 8*p**3 + 9*p**2 - 2*p - 5. Determine n*q(f) - 5*l(f).
4*f**3 + 2*f**2 - f
Suppose 2 = -2*z - 6. Let k = 9 + z. Let c(l) = -l + 2. Let t(a) = 23 + 3*a - 31 + 3. Give k*c(o) + 2*t(o).
o
Let x(d) = 41*d + 164. Let o(s) = s + 2. What is 82*o(f) - x(f)?
41*f
Let d(r) = 3*r - 4. Let w(s) = -7*s. Let m(c) = -20*c - 1. Let k(z) = m(z) - 3*w(z). What is 3*d(y) - 12*k(y)?
-3*y
Let s(v) = -719*v**2 + 39*v - 13. Let o(r) = 359*r**2 - 18*r + 6. Calculate -13*o(y) - 6*s(y).
-353*y**2
Let n(z) = 3*z**3 + 2*z**2 - 402*z + 2. Let q(r) = 10*r**3 + 7*r**2 - 1211*r + 7. What is -7*n(w) + 2*q(w)?
-w**3 + 392*w
Let l = -3450 - -3467. Let b(t) be the third derivative of t**4/6 - 2*t**3/3 + t**2. Let i(x) = -12*x + 11. What is l*b(g) + 6*i(g)?
-4*g - 2
Let x(i) = -2*i**3 - 2*i**2 - 2*i + 3. Let z(u) = -u**2 - u + 1. Suppose -6*t - 10 = -t. Let k = t + 4. Give k*z(a) - x(a).
2*a**3 - 1
Suppose -12*d + 56*d - 88 = 0. Let o(i) = -9*i + 2. Let k(p) = 242*p - 55. Calculate d*k(j) + 55*o(j).
-11*j
Let q(y) = 9*y - 26. Let f(m) = 5*m - 12. Determine -13*f(s) + 6*q(s).
-11*s
Let a(c) = 2*c**3 - 8*c + 2. Let m(s) = s**3 - 7*s + 3. What is -3*a(k) + 2*m(k)?
-4*k**3 + 10*k
Let p(f) be the first derivative of -4/3*f**3 + 0*f - 3/2*f**2 + 11. Let w(y) = -15*y**2 - 11*y. Determine -22*p(v) + 6*w(v).
-2*v**2
Let c(p) = -361*p**3 + 19*p**2 + 38. Let s(f) = -60*f**3 + 3*f**2 + 6. Determine 6*c(n) - 38*s(n).
114*n**3
Suppose -5*r - 4 - 31 = 0. Let b(f) = -f. Let n(d) = 2*d + 1. What is r*b(p) - 4*n(p)?
-p - 4
Let t(v) = 3. Suppose 4*q - 40 = 4*w, 3*q = -2*q - 3*w + 26. Let y(l) be the second derivative of -l**3/6 - 7*l**2/2 - 14*l. What is q*t(g) + 3*y(g)?
-3*g
Let z(f) = -f**2 + f. Suppose 20*t = 7*t - 78. Let j(i) = 13*i**2 - 8*i. Give t*z(c) - j(c).
-7*c**2 + 2*c
Let m(n) = -5*n - 8. Suppose -3*z + 45 = -5*r, 2*r + z - 23 = 5*r. Let b(s) = -5*s - 7. What is r*b(t) + 5*m(t)?
5*t + 2
Let v(y) = -34*y**3 + 7*y**2 + 4*y - 2. Let q(o) = -11*o**3 + 2*o**2 + o. Determine 7*q(c) - 2*v(c).
-9*c**3 - c + 4
Let t(d) = -4*d - 14. Let v(b) be the first derivative of -b**2/2 - 5*b + 422. Calculate -3*t(g) + 8*v(g).
4*g + 2
Let z(k) = -6*k. Let n(v) = 3*v - v - v. Let l be 69*3*(-2)/(-18). Let q = l - 32. What is q*n(j) - z(j)?
-3*j
Let x(v) = -13*v**2 + 8*v - 3. Let f(j) = 28*j**2 - 18*j + 7. Let y(z) = -3*f(z) - 7*x(z). Let a(d) = -21*d**2 + 7*d. What is 4*a(m) + 14*y(m)?
14*m**2
Suppose 0*s + 14 = s + 2*k, -5*k + 37 = 3*s. Let w(z) = 2*z**2 + 15*z - 4. Let x(n) = n**2 + 8*n - 2. Determine s*w(g) - 7*x(g).
g**2 + 4*g - 2
Let r(x) be the first derivative of -3*x**4/2 + 3*x**2/2 - 66. Let q(a) = 11*a**3 - 5*a. What is -3*q(m) - 5*r(m)?
-3*m**3 | {
"pile_set_name": "DM Mathematics"
} |
losest to 0.2? (a) z (b) -2/3 (c) h
c
Let m = 8.4 + 46.6. Let c = m - 56. What is the nearest to c in 2/3, -2/3, 0.1?
-2/3
Let t = -66.5 + 66.6. Which is the closest to t? (a) 0.21 (b) -2 (c) 0.1 (d) -4/5
c
Let n = -35 - -55. Let p be 4/2*(-35)/(-14). Suppose x = 6*x + 2*t - n, p*t = 25. Which is the nearest to -1? (a) -3/8 (b) x (c) 1/4
a
Let d = 923/21 - 131/3. Let f be 0 + -1 + (-24)/(-20). What is the closest to 1 in -2/9, f, d?
d
Let s = -1/47 - 44/141. Which is the nearest to s? (a) 1/11 (b) -2 (c) -1/6
c
Let k = -15.79 + 15. Let z = -0.39 - k. What is the closest to 0.1 in z, 0.1, -6?
0.1
Let f be 5/(4/(-1) + (-38)/(-12)). What is the nearest to 1 in 0.3, -1/6, f, 5?
0.3
Let n = -4 + 4.01. Suppose -5 = 64*l - 65*l. Which is the nearest to -2/11? (a) 2/3 (b) l (c) n
c
Let x = -10.3 - -10. Let n = x - -0.2. Which is the closest to -1/3? (a) -2/15 (b) n (c) -5
a
Let w = -3/3156329 - -2553473365/3370959372. Let r = -2/267 + w. Let v be ((-3)/(-12))/(-1)*2. Which is the nearest to 1? (a) -6/7 (b) r (c) v
b
Let h = 0 + -2. Let y = -0.391 + 0.431. Let x(w) = w**3 - 3*w**2 - 2*w + 1. Let k be x(3). What is the closest to y in k, -1, h?
-1
Suppose 0 = -31*g + 20*g - 11. Which is the nearest to g? (a) -0.4 (b) -2/9 (c) -2/3 (d) -1/5
c
Let p = 46 + -63. Let y be p/85 - (39/30 + -2). Let b = -1 + 2. What is the nearest to b in -5, y, 4?
y
Let t = -539 - -539. Let r = 1/14 - 31/140. Which is the nearest to 0? (a) 5 (b) r (c) t
c
Let y = -1.5 - 3.5. Let f = -1.3 + 1.2. Let o = f - -0.11. What is the closest to o in -0.2, y, -0.1?
-0.1
Let g = -19 - 0. Suppose 5*x - 58 = -158. Let s = x - g. What is the closest to -1/4 in -4, -3, s?
s
Suppose -y + 10 = 3. Let i be 6 - 5 - y/6. Suppose -4*g - f = 6, 3*g - 2*f - 3*f - 7 = 0. Which is the closest to g? (a) i (b) -2/5 (c) -1
c
Let n = -593/1100 - 3/275. Let y = n - -1/20. Let v = 42 + -83/2. Which is the closest to y? (a) -1/3 (b) -4 (c) v
a
Let o be ((-85)/10 - -5) + 3. What is the nearest to o in -2, 3, -1?
-1
Let c = 320212 - 4167395/13. Let t = 357 + c. What is the closest to 0.1 in -3, 3/4, t?
t
Let x = 61/54 - -1/27. Which is the closest to -6? (a) x (b) -0.4 (c) -2/17
b
Let m = 3 - -28. Let w = m - 30.9. Which is the nearest to w? (a) 4 (b) 2/17 (c) 0.1
c
Let s = -0.0018 + -2.9982. Which is the nearest to -1? (a) s (b) 1/200 (c) 2
b
Let f = 1145.94 - 1146. Which is the nearest to 5/7? (a) f (b) 0.4 (c) 2
b
Suppose -5*j = 3*d + 2, 2*d + 0*j = -3*j. Let x = 0.1 + -0.3. Which is the closest to x? (a) -2 (b) -0.2 (c) d
b
Let j = 43 + -40. Let c = -0.1 + 0.2. Suppose 0 = -2*a + 6, 4*a + 0 + 13 = 5*i. What is the closest to c in j, -3, i?
j
Let q = -62 + 61. Let t be q/((-22)/4) + 2/(-11). Let f = 1 - 1. Which is the nearest to f? (a) t (b) 5 (c) 4
a
Let q be 2/(-3) - 22/3 - -3. Let d(s) = s**3 + 6*s**2 + s + 2. Let b be d(-6). What is the closest to 1/3 in q, b, 2/11?
2/11
Let v be 43/(-55) + (-4)/(-22). Let p = -0.7 - -0.6. Which is the closest to p? (a) 0.5 (b) v (c) -0.1
c
Suppose 2*b + 2302 = -5*o, 3*o + 2*o + 2303 = -3*b. Let t = 1857/4 + o. Let p = t - 23/4. What is the nearest to 3 in p, 1/6, -2?
1/6
Let n = 25 - 20. Let p(w) = -w**3 + 2*w + 1. Let z be p(-1). Suppose z = 4*x + 4 - 0. Which is the nearest to 2/3? (a) n (b) -1/8 (c) x
b
Let m = 21.2 - 26.2. What is the closest to -4 in 1, m, -0.1?
m
Let i = 14.82 - -0.68. Let o = i - 23. Let t = o + 7. What is the closest to 1/2 in -3, -0.2, t?
-0.2
Let j = 21/11 - 74/33. What is the closest to -0.1 in 2, -4, j?
j
Let q(z) = z**2 + 77*z + 221. Let r be q(-3). What is the closest to r in -4, 1, -2/15, 0.3?
-2/15
Let h = -499 - -499. Which is the closest to 0.1? (a) h (b) -1/4 (c) -1/41
a
Suppose 5*r = n - 7, -4 = -3*r + 4*n - 15. Which is the closest to 0.6? (a) r (b) -2 (c) -1/12
c
Let v = 150.87 + -147. Let f = v - -0.13. Let d = 0.1 + 0.4. What is the nearest to 0.2 in d, f, -2?
d
Let b be (-4)/1 - (-1 - 1). Let w be ((-16)/(-140))/(b/(-5)). Let n = -454.7 - -450.7. What is the closest to 0.1 in 0, w, n?
0
Let o = -56.76 + 56.8. Which is the closest to o? (a) 2/5 (b) -2/15 (c) 1
b
Let p = 14/99 + -4/11. Let t = -6.8 - -7. What is the nearest to p in -3/5, t, -1?
-3/5
Let u = -493 + 2469/5. What is the closest to -38 in 3, 1, u, 4/7?
4/7
Let m = 1.23 + 47.77. Let k = -54 + m. Which is the nearest to -1? (a) 0.04 (b) -1/2 (c) k
b
Suppose 28*x - 18 = 10. What is the nearest to x in -1/4, -5, -0.031?
-0.031
Let o = 0.46 - -0.24. Which is the closest to 0? (a) 1/3 (b) o (c) 0.3
c
Let j = -2 + 3.3. Let s = 1 - j. Let y = -2 + 2. What is the nearest to y in s, -4, -5?
s
Let f = -58.83 + 58. Let v = -1.33 - f. Which is the nearest to -1? (a) -5 (b) 0.1 (c) v
c
Let v = -0.3 + 1.2. Let d = -3.1 - v. Let t = 457 - 456. What is the closest to t in 0.1, d, -1/3?
0.1
Let l = -60.3 + 60.3. Which is the closest to -1/3? (a) l (b) 5 (c) -0.2 (d) -0.1
c
Let i = 2528 - 22750/9. What is the nearest to -7 in 0.3, i, -0.11?
-0.11
Let w = -7.2 + 2.2. Let y = -22 - -19. Let l = -1 + 2. What is the nearest to l in w, -0.4, y?
-0.4
Let j be 1*(-6 - 126/(-22)). What is the nearest to 1 in 4, j, -2/3?
j
Let x be (-3432)/(-2310) + 4/(-14). Let g = 0.2 - 0.1. What is the nearest to 0.1 in -2, g, x?
g
Let n = -7.12 - -7.42. What is the closest to 1/2 in 0.1, 0.15, -12, n?
n
Let s = -73.7 - -62. Let p = s + 11.8. What is the closest to p in 4, -3, -0.1?
-0.1
Let k(j) = -5*j + 1. Let c be k(1). Let l be -1 - (-8 + 4 - c). Let m be (-6)/3 + (-10)/(-7). What is the closest to l in m, 4, 1?
m
Let o = -95 - -62. Let b = o - -35. What is the closest to b in -2/3, 2/13, 5?
2/13
Let n = 0 + -0.1. Suppose 3*v + 2*s + 0*s = -16, 4*v - 2 = 2*s. Let f be v/(-5) - 0/(-4). Which is the nearest to f? (a) 0.5 (b) -1/7 (c) n
a
Let v be (-228)/(-28) + -4 - 4. Let y = 29 - 29. What is the closest to y in -1/3, 0.03, v?
0.03
Suppose 4*j - 6 = 2*f, j - 2*f - 6 = -3*f. Suppose 5 = -k + 2*o, 2*k - 7*k = -j*o - 3. Which is the closest to k? (a) 0.2 (b) -3 (c) 5
c
Let h = 553 - 557.4. Which is the closest to 1? (a) -2 (b) 0.2 (c) h
b
Let l = 0.4 - 0.6. Let k be (((-120)/(-54))/(-5))/((-6)/9). Which is the nearest to l? (a) k (b) -3/5 (c) -5
b
Let p = -1.1 - -9.6. Let w = -3.5 + p. Let g = -0.29 + 0.09. What is the nearest to 0 in g, -2, w?
g
Let q = 76 - 71. Let o = 179 + -180. What is the nearest to -1.8 in q, o, 3?
o
Let v = -192.04 - -192. What is the nearest to 0 in -2/9, v, 1/24?
v
Let j be 4 + 4/12 + 23/(-6). Let b = -11.5 - -11. What is the closest to j in 3, b, 2/7?
2/7
Let r = -605 + 604. What is the closest to -2 in 0.1, r, -3/2?
-3/2
Suppose 24 = -10*t - 2*t. Let d be -2 - (t + (-6)/(-2)). Which is the nearest to -0.09? (a) d (b) 3 (c) 0
c
Let x = -1.1 + 1. Let g = -5 - -22. Let j = -17.05 + g. Which is the closest to x? (a) -4 (b) 5 (c) j
c
Let h(i) = 13*i - 65. Let k be h(5). Which is the closest to 0.1? (a) -5 (b) k (c) 7
b
Let m = -0.5016 + 0.0016. Which is the closest to 2? (a) 1/5 (b) m (c) 0 (d) -8
a
Let g = 12 + -5.4. Let t = g - 9. Let v = 1.6 - t. Which is the closest to -2? (a) 5 (b) 0.1 (c) v
b
Suppose 0 = -3*w - 2*w - 20. Let x be (-168)/(-20) - w/(-10). Suppose -4*v + 4 = -x*v. Which is the closest to v? (a) -0.4 (b) -3 (c) -2
a
Let b = -0.2198 - 0.2802. What is the closest to 0.2 in 0.03, 4/5, b?
0.03
Let t = -125/2244 - 1/204. Which is the nearest to 0? (a) -4 (b) t (c) 3
b
Let z = 0.1818 + -131.2818. Let g = z - -131. Which is the nearest to -4? (a) -0.3 (b) g (c) -4
c
Suppose -j = j + 2. Let u = -9.31 - -10.31. Which is the nearest to u? (a) j (b) 0 (c) 4
b
Let j = -2.3 + 2.4. Let s = -40 - -40.96. Let g = s + 0.04. Which is the closest to j? (a) -2 (b) 3/4 (c) g
b
Let u = 3.5 - 0.3. Let n = 3.2 - u. Which is the nearest to n? (a) 0 (b) 4 (c) -8
a
Let z = 629.41 - 633. Let f = z + 0.59. Which is the nearest to 0.1? (a) -2/21 (b) f (c) 4
a
Let q = -629 - -613. What is the nearest to q in 3, 0.4, 6/5?
0.4
Let p = 96.6 - 98.6. Which is the nearest to p? (a) 1 (b) 36 (c) 4 (d) 3
a
Let s = 0.56 - 54.56. Let u = 52 + s. Let l = 2 + -1. Which is the closest to l? (a) 5 (b) 0.5 (c) u
b
Let o = -9 - -10.1. Let l = -6.1 + o. Let d = 42 - 37. W | {
"pile_set_name": "DM Mathematics"
} |
-11*y = 2*x - 50 for x.
3
Solve 3*j - 1 = -l, -3*j - 41*l = -43*l - 7 for j.
1
Solve 2*y - 10 = 0, -4*y + 19 = 4*c - 5 for c.
1
Solve 4*v + z = -15, -2*v - z - 3*z = -10 for v.
-5
Solve -4*v = -5*z - 43, -26*z = -2*v - 24*z + 18 for v.
2
Solve -12*l + 8*l + k = -20, 2*l - 2*k - 4 = 0 for l.
6
Solve -19*s + 4*g = -22*s - 33, -4*s = -4*g - 12 for s.
-3
Solve -4*k + 32 = -3*u, 5*u - 3*k = -k - 30 for u.
-4
Solve 3*f - 3*i + 6 = 0, -2*i = 5 + 1 for f.
-5
Solve 5*f + 7 = y, -f = -4*f - 3*y + 3 for f.
-1
Solve -4*u + 9 = 5*k, 0 = 5*u + 26*k - 31*k for u.
1
Solve -5*n + 25 = 3*w, -4*w + 14 = -3*n - 0*n for w.
5
Solve -4*n = -4*j + 4, j - 21 = -0*j + 5*n for j.
-4
Solve -3*w - 5*i - 28 = 0, -w + 2*w = 2*i + 9 for w.
-1
Solve -4*p + 3 = m, 0*p - 4 = p + 5*m for p.
1
Solve h + 27 = 2*t + 12, 0 = h + 4*t - 15 for h.
-5
Solve 0 = 5*u - l - 10, -l + 8 = 13 for u.
1
Solve -2*a - 3*a = -5*l - 45, 2*l = a - 13 for l.
-4
Solve -3 = -3*l, -3*l = 2*c - 7*c - 18 for c.
-3
Solve -l - 3 = -d - 0, -4*d - 5*l = 15 for d.
0
Solve -8 = -5*w - z + 5, 2*z + 7 = w for w.
3
Solve -5 = 2*g - 3*l + 3, 20 = -5*g - 3*l for g.
-4
Solve 3*k + n = 0, 2*k - 5*n - 16 = 1 for k.
1
Solve -2*o - 4*l = -26, -8*o + 22 = -6*o + 3*l for o.
5
Solve m = 3*m - j + 13, 27 = -3*m + 4*j for m.
-5
Solve 0 = 4*j + 10 - 2, 4 = -5*f + 3*j for f.
-2
Solve 3*w = 2*s + 15, -3*w - 2*s - 128 = -131 for w.
3
Solve 2*u + 6 + 4 = 2*l, 5*l - 3*u = 23 for l.
4
Solve -4*n + 2*j = -4 + 2, 4*j = -n + 5 for n.
1
Solve -h + 2 = 2*f, 0 = -75*h + 77*h + f - 1 for h.
0
Solve 2*a + 20 = -5*t, 2*a - 3 = -t - 7 for t.
-4
Solve 0 = -q + 2*t + 16 - 8, -4*t - 10 = q for q.
2
Solve 0 = 3*n + 2*h + 10, -2*n + 4*n + 12 = -4*h for n.
-2
Solve -5 = 3*t - a, 12*a = -5*t + 7*a - 15 for t.
-2
Solve 4*m = -g - 12 + 8, 12 = 4*m - 3*g for m.
0
Solve -5*r - 3*o - 2 = 0, 3*r + 0*r + 3*o = 0 for r.
-1
Solve -3*w + 4 = 2*s, 0*s - 3*s - 2*w = -11 for s.
5
Solve -4*m - 3*r = 9, -7*m = -8*m + 3*r - 21 for m.
-6
Solve -12 = -6*t + t - x, 5*t - 14 = -2*x for t.
2
Solve 2*z + 12 = 6, -1 = y - z for y.
-4
Solve -f + 5*f + 9 = -5*c, 0 = 4*c + f + 16 for c.
-5
Solve 3*l + s = 9, s - 5*s - 12 = -4*l for l.
3
Solve 3*i - 4*u = 19, -15 = -4*i - 6*u + u for i.
5
Solve 2*r + 20 = -4*i, 2*i - i - 5*r - 6 = 0 for i.
-4
Solve 0*j = 5*d + 3*j, 2*j = -3*d - 1 for d.
3
Solve -3*r + 4 = 5*y, 23*r - 19*r - 3*y + 14 = 0 for r.
-2
Solve -a + 3 = -3*a + 3*b, 5*a + 3*b - 24 = 0 for a.
3
Solve v - 3 = 2, 3*r + 2*v - 10 = 0 for r.
0
Solve d = 5*p - 0*d - 5, -d - 5 = -4*p for p.
0
Solve -5*l - 3*q - 3 = -15, l = -4*q + 16 for l.
0
Solve 5*a = o + 7, 15*o + 3*a + 5 = 11*o for o.
-2
Solve 0 = 3*o + 2*m + 10, -5 = -5*o - 5*m - 30 for o.
0
Solve 0 = -4*y - 6*b - 10, 9 = -6*y + y - 4*b for y.
-1
Solve d = 2*g - 4, -6*d + d - 3*g = -19 for d.
2
Solve 3*j = -4*i + 6*i + 1, 2*i - 4*j = -4 for i.
4
Solve 4*y + 3*x = -1, -1 + 6 = -5*y - 5*x for y.
2
Solve 3*v - 3*w + 12 = 0, 4*v + 5*w - 365 = -372 for v.
-3
Solve w - 41 = -5*s - 71, -2*s = -5*w + 12 for s.
-6
Solve 4*y + 26 - 2 = 2*h, h = -y - 3 for h.
2
Solve 25 = 7*y - 2*y - 5*n, 0 = -4*y + n + 11 for y.
2
Solve 4*a - 15 = 4*p + 3*a, 0 = 2*p + a + 15 for p.
-5
Solve 0 = -3*s + t + 7, 60*s - 2 = 61*s + 4*t for s.
2
Solve 0 = 4*l + 4*n - 8, n = 2*l + 25 - 23 for l.
0
Solve -3*s + 6 = -l - 4*l, -4*l + 2*s = 6 for l.
-3
Solve -78 = -2*c - 4*y - 52, -4*y = -c - 11 for c.
5
Solve -5*d = -2*d + 3*r - 15, 2*d - 2 = 2*r for d.
3
Solve 4*s + 4 = -3*d, 4*d - 4 = -3*s - 0*s for s.
-4
Solve 4*j - 3*y = 8, 41*y - 5 = j + 42*y for j.
-1
Solve 5*o - 17 = -2*b, -o = 5*b - 0*o - 8 for b.
1
Solve 0 = 3*b - 5*p - 2, -30*b + 26 = -26*b + 5*p for b.
4
Solve -5*q = -20, 17*q = -4*t + 16*q + 20 for t.
4
Solve 4*t + v - 4 = 0, 2*v - 18 = -t + 6*v for t.
2
Solve -4*j + 36 - 7 = 5*q, -12 = -3*q + 3*j for q.
5
Solve 7*n - 12*n = 4*d, 0 = -4*d + 3*n for d.
0
Solve l - 2*b = -2*l + 1, 2*l + 6 = 3*b for l.
3
Solve 86*v - 87*v - 4*m - 13 = 0, -5*m - 15 = 0 for v.
-1
Solve o = -3*x - 13, -5*o - 5*x - 5 = -2*x for o.
2
Solve 3*n = -9, -9 = 66*x - 67*x + 3*n for x.
0
Solve 16 = -4*u + 7*x - 11*x, 3*u - x = 4 for u.
0
Solve -3*w - 11 = 4*s, 10*s - 6*s = 5*w + 29 for s.
1
Solve -4*g = -3*m + 23, 3*g + 14 = m - 2 for m.
1
Solve 5*b = 2*u + 51, 2*u - 3*b + 6*b = 21 for u.
-3
Solve -5*w = -d - 24, 0 = -5*d - 38*w + 35*w + 20 for d.
1
Solve -2*u + o + o - 6 = 0, 0 = -2*u + 5*o - 9 for u.
-2
Solve 5*p + 2*x - 40 + 17 = 0, 26 = 2*p + 5*x for p.
3
Solve 1 = 2*f + 5, 0 = -2*n + 2*f + 14 for n.
5
Solve -g = 0, 0 = -61*y + 58*y + g - 12 for y.
-4
Solve 3*q + 8 - 27 = -4*p, q = p + 4 for p.
1
Solve n - 10 = -4*o, 3*o + 4*n = -8 + 9 for o.
3
Solve 5*r - 15 = 5*q, 8 - 20 = 2*q + 4*r for q.
-4
Solve 16 = 5*j + 7*g - 10*g, -5*g - 8 = j for j.
2
Solve -4*u - 32 - 12 = 4*r, -4*u + 4 = -4*r for u.
-5
Solve 0 = -5*g - p - 30 + 12, 0 = -g - 4*p - 15 for g.
-3
Solve 12 = -3*g + 3*o, 36 = -5*g + o + 12 for g.
-5
Solve i = -9 + 7, 3*w + 3*i - 6*i = 0 for w.
-2
Solve 0 = 4*i + 5*k - 15 + 4, -i = k - 2 for i.
-1
Solve v - 53 = 2*k - 63, 5*v + 3*k - 15 = 0 for v.
0
Solve 2*h + 1 = c, 4*h + h + 4 = 2*c for c.
-3
Solve 3*l + 4*w = 16, 2 = w - 2 for l.
0
Solve -2*i = 3*d + 6 - 19, -4*d - 2*i + 14 = 0 for d.
1
Solve 3*g = -b + 10, -b = b - 2*g - 4 for b.
4
Solve 14*n - 3*i + 6 = 18*n, -5 = -3*n - 2*i for n.
3
Solve 0 = 3*b - 3*j - 3, -13*b + 18*b - 5 = -4*j for b.
1
Solve 3*b - 15 = -5*h, b + 0 - 15 = -5*h for h.
3
Solve 4*o = -3*s - 19, -2*s + 4*o + 0*o = 6 for s.
-5
Solve 4*p + p + c + 4 = 0, 0 = -5*p - 5*c for p.
-1
Solve -4*f + 19 = i, -10 - 7 = -3*i - 4*f for i.
-1
Solve -5*y = -3*h + 14, 33 - 13 = -2*h - 4*y for h.
-2
Solve l - 5 = 2*g, -g + 21 - 22 = -l for l.
-3
Solve -4*q + 1 = -j, -q + j - 42 + 43 = 0 for q.
0
Solve -4*q + 8*q = -s + 16, 3*q = 5*s - 11 for q.
3
Solve 0 = 5*d - 3*b, -8*d + 5*b = -4*d for d.
0
Solve 0 = 2*c + 5*g + 18, 3*c - 2*c - g = -2 for c.
-4
Solve -2*b - 28 = w - 17, -3*b = 4*w + 19 for b.
-5
Solve 0 = 2*z - 4, 8*k + z = 6*k + 2 for k.
0
Solve -4 = 2*h + 4*n - n, -h - 2 = 4*n for h.
-2
Solve -4*q = -4*t + 4, -2*t - 48*q + 51*q - 1 = 0 for t.
4
Solve 5*g - 52 = -3*m - 53, -m - 9 = -7*g for g.
1
Solve 2*m = 5*f - 15, 0 = -4*f + 15*m - 13*m + 10 for f.
5
Solve s = -7*w + 2*w + 5, -w = 0 for s.
5
Solve -3*j + 4*j = 4*h + 13, 0 = 4*j + 4*h - 12 for j.
5
Solve 4*q - 22 = -2*f - 0*q, -4*f = 2*q - 14 for f.
1
Solve 33 = 2*s + 42*o - 37*o, 17 = 3*s + o for s.
4
Solve 0 = z - 0*z + 3*d - 6, -2*d = -6 for z.
-3
Solve -138*i + 140*i = p - 3, -5*i = -2*p + 6 for p.
3
Solve 0 = 5*z + 2*b - 1, 5*z = -31*b + 32*b - 23 for z.
-3
Solve 0 = -2*m - 3*p - 11, -p = -27*m + 22*m - 2 for m.
-1
Solve 2*f + 2*d + 26 = -3*f, -4*f - 19 = d for f.
-4
Solve 0 = x + 4*w - 104 + 94, 0 = -3*x + 3*w - 15 for x.
-2
Solve 0 = 2*z - 3*a - 20, 5*a + 10 = 3*z - 22 for z.
4
Solve 3*n - 25 = -5*f, 0*n + 5*f = -5*n + 35 for n.
5
Solve -3*k + 54*b - 58*b - 30 = 0, 2*b + 4 = 4*k for k.
-2
Solve -5*a = 3*z + 24 + 3, -3*z - a - 15 = 0 for z.
-4
Solve 2*v = 2*p + 2*p + 16, 5*p + 6 = -v for v.
4
Solve -4*c - 8 = -4*z, -2*c + 0*c = 2*z for z.
1
Solve 1 = 5*y + 4*l, -y + l + 4 = 2*y for y.
1
Solve -3*j = 3*i + 57 - 84, -2*j - 2 = -2*i for j.
4
Solve -10 = y + 5*x, y - 12 = 3*y + 2*x for y.
-5
Solve 5*u = -0*o + 4*o - 25, -4*o = 4*u - 16 for u.
-1
Solve -a - 13 = -3*p, 2*a - 4 - 5 = -p for p.
5
Solve -3*p + 10 = -d, 5*p - 5 = -5*d + 25 for d.
2
Solve -5*x - 3*g - 15 = 0, -2*g = g for x.
-3
Solve -4*h - 20 = -4*i + 8, 2*h + 4 = -3*i for i.
2
Solve 2*t = -m - 9, -39*m + 21 = -4*t - 38*m for t.
-5
Solve 5*z - 2*f - 3 = -0, 0 = 5*z - 5*f for z.
1
Solve 5*r - 4 = 4*i, -3*i + 1 = 4 for r.
0
Solve 92*b = 96*b - 2*c - 22, 3*b - 5*c = 13 for b.
6
Solve 4*j - 4 = -3*q, 11*j = 16*j + 3*q - 8 for j.
4
Solve 2 = -2*t - 6, 0 = 2*s - 5*t - 30 for s.
5
Solve 0 = 5*z - 12*o + 17*o + 10, 3*z = -5*o - 8 for z.
-1
Solve 3*d + m = 19, -6*d + 23 = -3*d + 5*m for d.
6
Solve 2*y - 5*h + 21 = 0, 0 = 5*h - 8 - 7 for y.
-3
Solve 0 = 3*y + 15, 4*v + 19 = -4*y - 1 for v.
0
Solve 3*z - 11 = 2*u, 7 + 3 = -2*z - 3*u for z.
1
Solve z + 4*k = 7, -126 = 2*z - 5*k - 101 for z.
-5
Solve -4*t + 20 = -5*o, -75*o = -70*o for t.
5
Solve -4*f = 4*a - 16, 11 = 4*f + 3*a - 6 for f.
5
Solve 2*z - 5 = -989*q + 990*q, -5*z + 10 = 0 for q.
-1
Solve | {
"pile_set_name": "DM Mathematics"
} |
8*d*s
Differentiate 6516733*m**3 - 7*m**2 - 64984763 wrt m.
19550199*m**2 - 14*m
Differentiate 4*a*b*n - 4*a*b*s + 3*a*n*s - 2066*a*s + 2*b*n*s - 2611*b*n - 23*n*s - 2*s - 2 wrt a.
4*b*n - 4*b*s + 3*n*s - 2066*s
Differentiate q**3 - 131997*q**2 - 6*q + 11699531.
3*q**2 - 263994*q - 6
What is the third derivative of 8*s**4 + 14182028*s**3 + 98833264*s**2?
192*s + 85092168
What is the third derivative of -236003215*v**3 - 103722117*v**2?
-1416019290
What is the first derivative of 23529945*f - 23132456 wrt f?
23529945
What is the second derivative of -2949*k*s**3 + 2*k*s - 7550*k - 65023*s**3 - 364*s + 2 wrt s?
-17694*k*s - 390138*s
Differentiate 3001*b**3*m**4 + 3969*b**3*m**2 - 15*b**3 - 7432*b**2 + 10*b wrt m.
12004*b**3*m**3 + 7938*b**3*m
What is the third derivative of -2428*r**5 - 25766*r**4 - r**2 - 23*r - 440624?
-145680*r**2 - 618384*r
What is the second derivative of 57230623*q**2 - 64*q - 252550?
114461246
Differentiate 2*c*n*w - 330296*c*n - 6*c*w + 171309*n*w + 2*n + 13 with respect to w.
2*c*n - 6*c + 171309*n
What is the first derivative of -s**2 - 2398566*s - 10999777 wrt s?
-2*s - 2398566
What is the second derivative of -166*t**2*x**2 - 3395*t**2*x - 3*t**2 - 84*t*x**2 + 5*t*x + 2*t + 12*x**2 wrt x?
-332*t**2 - 168*t + 24
What is the third derivative of 16793230*q**5 - 3154608*q**2?
1007593800*q**2
What is the second derivative of 2*t**4 + 5062732*t**3 + 19309202*t wrt t?
24*t**2 + 30376392*t
Find the third derivative of 89163*k**4 - 2487*k**3 - 1281567295*k**2 wrt k.
2139912*k - 14922
Differentiate 3337737*d**2 + 13*d + 8183071 wrt d.
6675474*d + 13
What is the first derivative of 789703*d - 60109433 wrt d?
789703
Find the second derivative of 27764462*m**3 - 12374880*m wrt m.
166586772*m
Differentiate -128891914*f*r + 41209692*r with respect to f.
-128891914*r
Find the third derivative of -7378040*f**3*y**3 - 64*f**2*y**3 - 21*f**2*y**2 - f*y**3 + y**3 + 75*y**2 wrt f.
-44268240*y**3
What is the second derivative of -1099062908*g**4 + 9595*g - 16486 wrt g?
-13188754896*g**2
Find the third derivative of -a**2*k**2*y**2 + 77*a**2*k*y**2 - 5*a**2*k + 38365*a**2*y**3 - 221*a**2*y**2 + 2*a*k**2 + 225*k**2*y**3 + 1 wrt y.
230190*a**2 + 1350*k**2
Find the third derivative of 12022694*o**3 - 1071509*o**2 + o - 1 wrt o.
72136164
Find the first derivative of -12256501*d**2 + 3*d - 100683459.
-24513002*d + 3
What is the second derivative of -6670127*f**4 + 52760*f - 5?
-80041524*f**2
What is the third derivative of 1213925*u**4 - 144*u**3 - 56211690*u**2 + 1 wrt u?
29134200*u - 864
Find the second derivative of -363297596*k**5 + 392172649*k.
-7265951920*k**3
What is the second derivative of -449120845*a**2 + 839243*a - 187?
-898241690
Differentiate 1075*c**2*n + 2*c**2 - 50*c*n - c - 7609745*n + 1 wrt c.
2150*c*n + 4*c - 50*n - 1
Find the second derivative of -6442*d**2*g**2 - 859*d**2*g + 12639*d*g**2 - 9*d wrt d.
-12884*g**2 - 1718*g
Find the second derivative of -51889200*x**3 - 172*x - 148779 wrt x.
-311335200*x
Differentiate 3*b**3 + b**2*h**2 - 3288181*b + 4*h**2 - 49756*h + 10 with respect to b.
9*b**2 + 2*b*h**2 - 3288181
Find the third derivative of -14253359*f*t**4 + 2*f*t**3 - f*t**2 - 4*f*t + 3*f + 68*t + 708 wrt t.
-342080616*f*t + 12*f
Find the third derivative of -642553*t**5 + 72*t**3 - 1826*t**2 - 18442*t + 2 wrt t.
-38553180*t**2 + 432
Differentiate -k*r**2 - 48705*k*r + 480493396*k - 469*r**2 wrt r.
-2*k*r - 48705*k - 938*r
What is the first derivative of 7562813*m**2*w - 8794080*m**2 wrt w?
7562813*m**2
Differentiate -176*g*n - 355588*g - 39*n - 1942575 wrt g.
-176*n - 355588
Differentiate 4*q**2*r**2 - 654*q**2 - 545*q*r + 110*r**2 - 60643 with respect to q.
8*q*r**2 - 1308*q - 545*r
What is the second derivative of 23*a**3*o**2*z**2 + 22*a**3*o + 17*a**2*o*z + 33*a*o + 1097951*o**2*z**2 + o**2*z - 11*o**2 - 3*z - 1 wrt z?
46*a**3*o**2 + 2195902*o**2
Find the third derivative of -380229*q**6 + 6*q**5 - 5*q**3 - 8941*q**2 + 302.
-45627480*q**3 + 360*q**2 - 30
What is the first derivative of -10*a**3*h + 12881212*a**3 - 4*a*h - 255341*h**4 wrt h?
-10*a**3 - 4*a - 1021364*h**3
Find the third derivative of 154708798*v**3 - 702*v**2 - 2*v - 239125.
928252788
What is the third derivative of 123*d**5 + 9131*d**4 - d**3 - 558*d**2 + 90*d + 1103?
7380*d**2 + 219144*d - 6
Differentiate 58643*p*q**2 + 867*p + 7*q**3 + 260*q**2 + 26111 with respect to q.
117286*p*q + 21*q**2 + 520*q
What is the third derivative of -32269790*s**4 + 8404184*s**2?
-774474960*s
Find the third derivative of -1133*l**3*t**2 - 696*l**3*t + 18211*l**2*t**2 + 29*l**2*t + t**2 + t wrt l.
-6798*t**2 - 4176*t
Find the third derivative of 24265446*l**4 - 25573*l**2 - 1145*l wrt l.
582370704*l
What is the third derivative of 9305*h**6 - 13*h**4 + 25*h**2 - 36936 wrt h?
1116600*h**3 - 312*h
Find the third derivative of 34441945*z**4 + z**2 - 3726833*z + 2 wrt z.
826606680*z
Find the second derivative of 5315818*r**2 - 16572138*r.
10631636
Find the third derivative of -60439513*d**3*s**3 + 2*d**2*s**2 + 6*d**2 + 131733*d*s**3 wrt d.
-362637078*s**3
What is the second derivative of -75616583*m**3 + 36135994*m + 1 wrt m?
-453699498*m
What is the third derivative of 650*h**3*z**3 + 2*h**3*z**2 - 575731*h**3 - 1917*h**2*z**3 wrt z?
3900*h**3 - 11502*h**2
Find the third derivative of 9904655*s**5 - 6*s**3 - 13*s**2 + 74931*s - 2.
594279300*s**2 - 36
What is the third derivative of 18690988*b**3 + 685228*b**2 - b - 2 wrt b?
112145928
Find the second derivative of -4939412*x**2 + 10718841*x wrt x.
-9878824
Find the second derivative of 941493*t**3 - 8*t**2 - 5223400*t - 2.
5648958*t - 16
What is the derivative of 573*a*j**2 - 443*a*j - 2*a*n + 73*a + 7500740*j**2*n wrt n?
-2*a + 7500740*j**2
Find the third derivative of 70*o**4*p + 3*o**4*r + 9297*o**3*r**2 - 2*o**2*p*r**2 - o**2*p*r + o**2*r**2 - 3741*o*p*r**2 + o + 14*r**2 wrt o.
1680*o*p + 72*o*r + 55782*r**2
Find the third derivative of -23928270*z**3 - 241*z**2 - z + 3017 wrt z.
-143569620
What is the first derivative of 85*i**3*y**4 - 2*i**3 + 44*i**2 - 10156*i*y**4 - 2088*i - 3 wrt y?
340*i**3*y**3 - 40624*i*y**3
Find the first derivative of -6766*o**3 + o**2 + 54*o + 86440 wrt o.
-20298*o**2 + 2*o + 54
What is the derivative of -174*d**3 + 470*d**2 + 238*d + 8193860 wrt d?
-522*d**2 + 940*d + 238
Find the second derivative of 49079128*c**5*l + 2*c*l + 6744020*l wrt c.
981582560*c**3*l
What is the third derivative of -101910*c**5 - 15*c**3 + 110017055*c**2?
-6114600*c**2 - 90
What is the first derivative of -8189486*n**2 + n + 644451 wrt n?
-16378972*n + 1
Find the second derivative of -123*d**4 + 797*d**3 + 2*d**2 - d - 414675908 wrt d.
-1476*d**2 + 4782*d + 4
Find the second derivative of -3786993*a*r**2*w**2 - a*r*w**3 + 70*a*r*w**2 - 466*a*r*w + 2*r**2*w**3 - 2*r*w - 2*w**2 wrt r.
-7573986*a*w**2 + 4*w**3
What is the second derivative of 189187011*f**2 - 39004512*f + 5?
378374022
What is the second derivative of -3*d**4 + 19552658*d**2 + 436962412*d wrt d?
-36*d**2 + 39105316
Find the second derivative of -197377415*g**3 - 224917855*g.
-1184264490*g
What is the second derivative of 67950*g**3*h**2 - 9*g**3 - 841134*g*h**2 - 2*g wrt g?
407700*g*h**2 - 54*g
Find the second derivative of -30383398*n**2 - 20807513*n.
-60766796
Differentiate 15615194*b**2*i**3*l + 5*b**2*i - 2*b**2*l - b**2 + 2*b + 57651*l + 167 with respect to i.
46845582*b**2*i**2*l + 5*b**2
What is the second derivative of -2879*t**5 - 2499*t**4 + 122727638*t?
-57580*t**3 - 29988*t**2
Find the second derivative of 15969514*z**5 - z - 4608444.
319390280*z**3
Find the third derivative of 1811422*d**3*h**3*y**2 + 8*d**3*h*y**2 - 292*d*h**2*y**3 + 14*d*y**3 + 2*h**3*y**3 wrt h.
10868532*d**3*y**2 + 12*y**3
What is the first derivative of -306*y**3 + 234193*y**2 + 767108053 wrt y?
-918*y**2 + 468386*y
What is the second derivative of -74207446*b**3*l**2 - b*l**2 + 2*b*l + 27781*b + l**2 + 7*l - 3 wrt b?
-445244676*b*l**2
What is the first derivative of -3*l**2*p + 3*l**2 + 11400*l - 217207399*p - 2110 wrt p?
-3*l**2 - 217207399
What is the first derivative of -18763156*y**2*z**3 - 702343630*y**2 + z**3 wrt z?
-56289468*y**2*z**2 + 3*z**2
Find the third derivative of -172918947*b**3*r**5 - 2748*b**3*r**2 + 8*b**3*r - 159*b**2 wrt r.
-10375136 | {
"pile_set_name": "DM Mathematics"
} |
- 2*w**4)*(0 - 1 + 2) - 93*w + 93*w + 293*w**4.
288*w**4
Expand -92*h - 95*h + 186*h - 829*h**4 + (0*h**3 + h**3 - 4*h**3)*(-h - 2*h + 4*h).
-832*h**4 - h
Expand (-14*h - 27*h**2 + 14*h)*(5 + 18 - 9).
-378*h**2
Expand (13 - 4*v - 13)*(0 + 4 - 2)*(-11 + 6 + 14)*(-2 + 4 - 3).
72*v
Expand (k**5 + 0*k**5 - 2*k**5)*(-36 + 131 + 84).
-179*k**5
Expand 4 + 6 - 12 - y**2 + (8*y - y - y)*(-y - 3*y + 3*y).
-7*y**2 - 2
Expand -6*d**2 + 0*d**2 + d**2 + (2 + 0 + 1)*(2*d**2 - 2*d**2 - 2*d**2) + d**2 + 2*d**2 - 5*d**2 + (-d + 0*d + 2*d)*(4*d - 2*d + 0*d) - 2*d + 2*d + d**2.
-10*d**2
Expand (q - 2*q**3 - q)*(-2*q - q**2 + 2*q) - 21*q**5 + 0*q**5 + 3*q**5.
-16*q**5
Expand (-3 - 4 + 6)*(3*f**4 - 3*f**4 + f**5) - 3*f**5 + 0*f**5 + 6*f**5 - 41*f**5 + 219*f**5 + 38*f**5.
218*f**5
Expand 5 - 5 - 8*i**2 - 16*i**2 + (-i - i - 6*i)*(i + 1 - 1).
-32*i**2
Expand (0*k + 2*k + 0*k + (-k + 2*k + k)*(0 + 3 - 5) + (-4 - 2 + 4)*(-4*k - 1 + 1))*(-16*k**2 + 10*k**2 + 10*k**2)*(0 + 3 - 4).
-24*k**3
Expand (-337*m + 197*m - 349*m)*(-1 - 2*m**4 - 3*m**3 + 1).
978*m**5 + 1467*m**4
Expand (2107*k - 688*k + 1560*k - 1004*k + 2563*k)*(3*k**2 - 3*k**2 + 2*k**2).
9076*k**3
Expand (-5*f**2 + 4*f**2 + 5*f**2)*(1 + 3 + 11)*(0*f**3 + 4*f**3 - 6*f**3).
-120*f**5
Expand (3*c + 1 - 70*c + 10*c)*(2 - 3 + 2).
-57*c + 1
Expand (22 - 22 + 16*p)*(-2*p + 0 + 0) - 2 + 2 - 8*p**2 - 3.
-40*p**2 - 3
Expand -16*n**4 + 69*n**4 + 37*n**4 + (-3*n**3 + n**3 + 4*n**3)*(5*n + 2 - 2).
100*n**4
Expand (33*z - z**2 - 33*z)*(-86 + 58 - 14 + (0 + 1 + 1)*(-1 + 2 + 1)).
38*z**2
Expand (3*r - r + r)*(-525 + 525 - 32*r)*(-3*r**2 + 0*r**2 + 7*r**2).
-384*r**4
Expand 1 - 2 - 2*c + 3*c + (c - 4*c + 0*c)*(8 - 5 - 9).
19*c - 1
Expand 5*w**5 + 5*w**5 - 6*w**5 + (-w - 3*w + 2*w)*(-3 + 3 - 3*w**4).
10*w**5
Expand (-2*l + l**3 + 2*l)*(-2 + 5 - 2)*(-13 - 21 - 26).
-60*l**3
Expand 2*w**2 - 2*w**2 + w**2 + (-2*w + 0*w + 0*w)*(1 + 2*w - 1) - w**2 + w**2 - w**2 + 2*w**2 - 4*w**2 + 0*w**2 + (2*w - 2 + 2)*(w - 5*w + 3*w)*(29 - 3 + 20).
-98*w**2
Expand (-3 + 2 + 13*w + 0)*(-4 + 6 - 3)*(w**3 - 5*w**3 + 2*w**3).
26*w**4 - 2*w**3
Expand 645*p + 4*p**4 - 645*p + (16*p**3 + 47*p - 47*p)*(3 - 3 + 2*p).
36*p**4
Expand ((3 - 2 + 0)*(0 + a + 0) - 3*a - a + 10*a)*(5*a - 3*a - 3*a) + 0 + 2*a**2 + 0 + 25*a**2 - 155*a + 155*a.
20*a**2
Expand (-1 - 15 + 145)*(3*o**4 + 2*o**4 - 7*o**4) - 2*o**4 + 4*o**4 + 0*o**4.
-256*o**4
Expand (5 - 3 - 3)*(0*k + k + k) + (-2 - 4 + 4)*(k - 9*k - 6*k).
26*k
Expand (-d**2 - d**3 + d**2)*(-2 + 5 - 2) + 15*d**3 - 35*d**3 + 76 + 22*d**3.
d**3 + 76
Expand (0*d - 2*d + 0*d)*(1 + d - 1) + 30*d**2 - 89*d**2 + 17*d**2 + ((-3 + 1 + 3)*(-4 - 2*d + 4) + 0*d - 2*d + 0*d - 3*d + 2*d + 2*d)*(0 + 0 - 2*d).
-38*d**2
Expand ((-q + 0*q - q)*(-3 + 4 + 0) - 2 + 2 - q)*(3 + 3 - 3 + 0 - 2 + 1 + (6 - 2 - 2)*(4 - 2 - 4) + 4 - 3 - 9)*(3 + 3 - 4).
60*q
Expand ((2*w**3 - 4*w**3 + 0*w**3)*(21*w - 3*w + 71*w) + 0*w**4 - w**4 - w**4)*(-w + 6*w - 3*w).
-360*w**5
Expand -3*g + 3*g + 2*g - g + 6*g - 3*g + (-2 - 2*g + 2)*(3 - 2 - 2) + 2*g - 2 + 2 - 5 + 5 - g + 310*g + 401 - 401.
317*g
Expand (308*l + 63*l + 648*l - 38*l)*(4*l + 0*l - 3*l)*(-5*l**3 + l**3 + 3*l**3).
-981*l**5
Expand 10252 + 190*j**4 - 10252 + (2*j - 2*j**3 - 2*j)*(3*j - 4*j - j) - 2*j**4 - 4 + 4.
192*j**4
Expand (3*z - 5*z + z)*(-205 - 232 - 213).
650*z
Expand (2*s**2 + 4*s**2 - 5*s**2)*(-22 - 4 + 5) + 2*s - 8*s**2 - 2*s + (-s**2 + 1 - 1)*(-2 - 3 + 4).
-28*s**2
Expand (-5*z + 5*z + 4*z)*(7*z + 6*z - 7*z)*(-25*z + 72 - 72).
-600*z**3
Expand (0 + 0 + c)*(2*c - 4 + 4 + c + 2*c - 2*c - 5*c + 2*c + 2*c + (4*c + c - 4*c)*(-4 + 4 + 2) + 3*c - 2*c - 4*c).
c**2
Expand (-1 + 4 - 1)*(-5*s**2 + 0*s**2 + 3*s**2) + 7*s**2 - s + 25*s**2 + 3*s.
28*s**2 + 2*s
Expand (-6*x + 2*x + 0*x)*(2 - 4 + 0)*(-4 - 2 - 3)*(-1 - 1 + 5).
-216*x
Expand (-15 - 14 + 10)*(-z**2 - z**2 - z**2).
57*z**2
Expand (-4*u + 57 - 57)*(-2*u + 2*u - u) + 0*u**2 - 3*u**2 + 2*u**2.
3*u**2
Expand (71 - 267*o**2 - 73 + 261*o - 264*o)*(-1 + 2*o**3 + 1).
-534*o**5 - 6*o**4 - 4*o**3
Expand -67*k**3 + 54*k**3 + 90*k**3 + (-k + 0*k + 3*k)*(-3*k**2 + 4*k**2 + 0*k**2) - 3*k + 3*k + k**3.
80*k**3
Expand (0 + 4 - 2)*(-2 + n + 2)*(-6 + 5 + 10).
18*n
Expand -2*m**3 - m**3 + 0*m**3 + (-m**2 - m**2 - 3*m**2)*(-5*m + 6*m + 3*m).
-23*m**3
Expand (0 + 1 - 2)*(2*l**3 + 3*l**3 - 3*l**3) - 4 - 4*l**3 + 2*l**3 - 56459*l + 56468*l.
-4*l**3 + 9*l - 4
Expand (0*o**2 + 5*o**2 + 0 - 1)*(-20 + 13 + 13)*(-1 + 2 - 2)*(3*o - 3*o - o**2).
30*o**4 - 6*o**2
Expand (-2*g**2 + 0*g**2 - 3*g**2)*(2 + 2 - 1) - 4*g**2 + 3*g**2 + 2*g**2 + (0*g + g - 2*g)*(3 - 3*g - 3) - 2*g**2 + 2 - 2.
-13*g**2
Expand (303 - 303 - 17*j**3)*(j + 3*j - 5*j - 3*j + 0*j + 5*j + j + 4*j - 3*j - 2*j - 2*j + 5*j + (-j - 4*j + 4*j)*(3 - 5 + 1) - 2 + 2 + j - 6*j + 0*j + 5*j).
-85*j**4
Expand (0*g - 4*g**2 + 0*g)*(-3*g + 2*g - g)*(3*g - 4*g + 18*g).
136*g**4
Expand -2 - b + 2 + 3 - 3 + b + (2 - 2 + 2)*(b - 4*b + 6*b) + (2 + 14 - 2)*(-5*b + 4*b + 2*b).
20*b
Expand (-20*v - 22 + 22)*(-v + 1 - 1 + (2 - 5 + 2)*(-2*v + 3 - 3)) + 2 - 2 - 2*v**2.
-22*v**2
Expand (20*j - 20*j - 10*j**2)*(-5 + 3 + 1) + 0*j**2 - 3*j**2 + j**2 - 2*j**2 - j**2 + j**2 + (-4*j + 5*j + j)*(2*j + 2 - 2).
10*j**2
Expand (-188*q**2 + 8*q**3 - 27*q**3 + 189*q**2)*(-2 + 2 - 1) + (2*q**2 - 5*q**2 + q**2)*(7 - 7 - 5*q).
29*q**3 - q**2
Expand (0*o - 5*o + 2*o)*(45*o + 1274 - 2536 + 6*o + 1270).
-153*o**2 - 24*o
Expand (-p + p - p)*(-9 - 12 + 0)*(11*p**2 - 3*p**2 + 5*p**2).
273*p**3
Expand (2*d - 2*d**2 - 2*d)*(-1 - 110*d + 55*d + 44*d).
22*d**3 + 2*d**2
Expand (-5 + 5 - 7*g + 2*g + g - g + 1 + 2*g - 1 + 0 + 2*g + 0 + (-2 + 0 + 0)*(2 - 2 - 2*g))*(21*g**2 + 5*g**2 - 12*g**2).
42*g**3
Expand a**4 + 6*a**4 - 3*a**4 + (2*a - 2*a - a)*(0*a + a**3 + 0*a) - 285 + 285 - 16*a**4 - 2*a**2 + a**4 + 2*a**2.
-12*a**4
Expand (-11 - 136*s + 2 + 134*s)*(-1 - 2 + 2)*(-2*s + 2 - 2).
-4*s**2 - 18*s
Expand -22*z**3 + 150*z**3 + 241*z**3 + (-2 - 2 + 3)*(-2*z**2 + 2*z**2 - z**3) - 2*z**3 - 2*z**3 + 6*z**3.
372*z**3
Expand -19*b**3 + 5*b**3 + 6*b**3 + (3*b - 5*b + b)*(3*b**2 - b**2 + 13*b**2).
-23*b**3
Expand x**5 - 3*x**5 + 4*x**5 + (-2*x**2 - 2*x**2 + 2*x**2)*(155 - 186*x**3 - 155) + 0*x - 3*x**5 + 0*x.
371*x**5
Expand (3*g**5 - 6*g**5 - 6*g**5)*(4 - 3 + 1) + 0*g**5 - g**5 + 0*g**5 + (-2*g**4 - g**4 + g**4)*(-2*g + 4 - 4).
-15*g**5
Expand (0 + 0 - 2*j**3)*(2 + 3 - 2) + 3*j**3 + j**3 - 2*j**3 + (-2*j**2 - j**3 + 2*j**2)*(-2 - 1 + 4).
-5*j**3
Expand (5*t - 2*t - t)*(3*t - 5*t + 0*t) + 22*t**2 + 7*t**2 + 10*t**2.
35*t**2
Expand (-2*o + 4*o - 3*o)*(4*o + 6*o + o)*(20 - 20 + 3*o).
-33*o**3
Expand (-38*y**2 - 138 + 138 - y)*(-2*y - 1 + 1).
76*y**3 + 2*y**2
Expand -t - 2*t**5 + t + (-4 - 2 + 4)*(2*t**5 + 2*t**4 - 2*t**4) + t**3 - 25*t**2 + 23*t**2 + 1 - 175*t**5 + 176*t**5.
-5*t**5 + t**3 - 2*t**2 + 1
Expand (7*l - 7*l - 2*l**2)*(l**2 + 0*l**2 + 0*l**2) + 4*l**4 + l**4 - 26*l**4.
-23*l**4
Expand 7*p**3 - 4 - 9*p**3 + p + 0*p**3 + 1 - p**3 - 1 + 0*p**3 - 2*p**3 + 0*p**3 + (-4*p - 2*p**2 + 4*p)*(p - p - 2*p).
-p**3 + p - 4
Expand (3 + 1 - 3)*(-15*l - 21*l + 11*l + 4).
-25*l + 4
Expand -2*g**2 + g**3 + 2*g**2 + (16*g**2 + 79 - 79)*(1 - g - 1).
-15*g**3
Expand -3*a + a + 3*a - 1 + 1 - 4*a + (3*a + 2*a - 4*a)*(3 - 5 + 1) + (-5*a + 3*a + a)*(-2 - 1 + 1) - 1 - a + 1.
-3*a
Expand (28 - 15 + 2*h - 4)*(11 + 2 + 2*h - 5).
4*h**2 + 34*h + 72
Expand (0*n - 2 + 2*n - 3)*(-1998*n + 1127*n + 1041*n).
340*n**2 - 850*n
Expand (-9*x + 5*x**5 + 9*x)*(1 + 2 - 4)*(5 - 10 - 8).
65*x**5
Expand r**5 - 2*r**5 + 0*r**5 + (-r + 0 + 0)*((-9*r**3 - 3*r**3 + 2*r**3)*(5*r - r - 2*r) - 2*r**2 + r**4 + 2 - 2).
18*r**5 + 2*r**3
Expand -73*h**4 + 32*h**4 - h**2 + 33*h**4 + (3 + 1 - 1)*(-5*h**4 + 3*h**4 + 0*h**4).
-14*h**4 - h**2
Expand ((0*y - 2*y + 3*y)*(0 - 4 + 3) + 2*y + 4*y - 4*y)*(-1 + 3 + 2).
4*y
Expand -1 - 11*o**4 + 1 + (-o + 0*o + 0*o)*(o**3 + 3 - 3) + o**4 + 0*o**4 + 0*o**4.
-11*o**4
Expand 4*r**2 - 5*r**2 - r**2 + (-r - r + 0*r)*(3 - 3 + r) - 3 + 3 + 2*r**2 + 74*r**2 + 6*r - 39*r**2 - 44*r**2.
-11*r**2 + 6*r
Expand (4*u + 0*u - 3*u)*(-2*u - 2*u + 2*u) - 8*u**2 - u**2 + 3*u**2 + (-u + 0 + 0)*(3*u - 4*u - u) + 0*u**2 + 0*u**2 - u**2.
-7*u**2
Expand (-4*w - 2*w + 4*w)*(w**2 - 150 - 3*w**2 + 178 + (2*w + 4*w - 4*w)*(-5 + 5 + w) - w - w**2 + w).
2*w**3 - 56*w
Expand (5 + 2*x - 5)*(-22 - 822* | {
"pile_set_name": "DM Mathematics"
} |
t is o(-18)?
-180
Let r(x) = -7*x**2 + 56*x - 4. Calculate r(8).
-4
Let k(o) = 3*o**2 + 13*o + 8. Calculate k(-9).
134
Let q(x) = -3*x**3 + 9*x**2 + 120*x + 306. Determine q(-3).
108
Let j(k) = -113*k - 356. Give j(-3).
-17
Let a(u) = -u**2 - 515*u + 13494. Give a(25).
-6
Let n(m) = 3*m**2 + 48*m + 35. Give n(-15).
-10
Let p(f) = -f**3 - 23*f**2 - 45*f + 122. Determine p(-21).
185
Let y(t) = -t**3 + 12*t**2 + 112*t - 82. What is y(18)?
-10
Let v(d) = -2949*d + 5906. Calculate v(2).
8
Let d(n) = n**3 + 12*n**2 - 281*n - 130. Calculate d(-24).
-298
Let s(h) = -2080*h + 20797. What is s(10)?
-3
Let f(c) = 10492*c - 62960. Determine f(6).
-8
Let b(r) = -r**3 + r**2 + 63*r - 52. Give b(0).
-52
Let f(z) = 9*z**2 + 881*z + 3374. Calculate f(-4).
-6
Let h(u) = -34*u - 3684. Give h(-108).
-12
Let j(l) = -l**3 + 2*l**2 + 113*l - 58. Give j(-10).
12
Let u(k) = -2*k**3 - 6*k**2 + 41*k - 24. What is u(3)?
-9
Let t(v) = 93*v + 25. Calculate t(-1).
-68
Let v(z) = -130*z + 2070. Give v(16).
-10
Let w(m) = -m**3 + 23*m**2 - 31*m + 1329. Determine w(24).
9
Let m(l) = 409*l + 2044. Calculate m(-5).
-1
Let p(t) = -t + 9. Determine p(-10).
19
Let g(j) = -5*j + 66. Give g(-8).
106
Let w(h) = 3*h**2 + 46*h + 27. Calculate w(12).
1011
Let y(q) = q**2 - 27*q + 111. What is y(24)?
39
Let y(i) = 29*i**2 - 4*i + 3. Calculate y(1).
28
Let d(g) = -4*g**2 - 430*g - 34. Give d(-109).
-688
Let i(a) = -a**3 - 10*a**2 - 15*a + 125. Give i(-11).
411
Let x(g) = -g**3 + 13*g**2 + 66*g + 310. What is x(16)?
598
Let f(z) = -3*z**2 + 281*z - 170. Determine f(93).
16
Let m(y) = y**3 - 84*y**2 + 243*y + 17. Calculate m(81).
17
Let l(k) = 169*k + 134. Calculate l(-3).
-373
Let z(m) = -98*m - 1871. Calculate z(-19).
-9
Let v(i) = -7*i**2 - 2*i - 11. Give v(-4).
-115
Let a(s) = s - 210. Determine a(31).
-179
Let c(g) = -44*g + 285. Give c(-5).
505
Let k(x) = -x**3 + x**2 + 14*x + 8. What is k(0)?
8
Let h(m) = 233*m + 100. What is h(-1)?
-133
Let f(c) = -2*c**3 + 39*c**2 - 54*c + 6. Calculate f(18).
6
Let f(u) = 66*u + 688. Calculate f(-4).
424
Let o(k) = -569*k - 9687. What is o(-17)?
-14
Let x(a) = -a**3 + 61*a**2 + 68*a - 374. Determine x(62).
-2
Let b(i) = -3*i**3 - 67*i**2 - 22*i - 39. Calculate b(-22).
-39
Let w(j) = -19*j**2 + 96*j + 79. What is w(6)?
-29
Let w(l) = -l**3 - 20*l**2 - 33*l - 18. What is w(-18)?
-72
Let i(g) = g**3 + 24*g**2 - 57*g - 53. Calculate i(-26).
77
Let t(u) = 13*u - 577. Determine t(42).
-31
Let o(w) = 8*w**3 - 3*w**2 - 8*w - 25. Calculate o(-3).
-244
Let m(w) = -w - 87. Determine m(-51).
-36
Let c(z) = -2*z**3 - 148*z**2 - 126*z + 1462. Calculate c(-73).
2
Let h(x) = 201*x - 2209. What is h(11)?
2
Let r(v) = -77*v**2 - v + 48. Determine r(1).
-30
Let d(w) = -120*w + 1955. Give d(16).
35
Let v(y) = -y**2 - 31*y + 7. Determine v(-21).
217
Let x(v) = -2*v**3 - 4*v**2 + 10*v + 126. Give x(0).
126
Let x(o) = -o**3 + 6*o**2 - 3*o - 12. Give x(5).
-2
Let a(g) = -g**3 - 42*g**2 - 26*g + 608. What is a(-41)?
-7
Let u(w) = -7656*w - 53588. What is u(-7)?
4
Let m(k) = k**3 + 40*k**2 - 26*k + 649. Calculate m(-41).
34
Let i(z) = -360*z - 732. Determine i(-2).
-12
Let c(z) = -z**2 - 6896*z - 6894. Give c(-1).
1
Let j(r) = -4*r**2 - 72*r - 211. Calculate j(-3).
-31
Let b(v) = -v**3 + 24*v**2 + 102*v - 992. Give b(5).
-7
Let u(t) = 14*t - 1776. Calculate u(127).
2
Let z(y) = 7*y**3 - 4*y**2 - 3*y - 13. Determine z(4).
359
Let b(o) = -o**3 + 137*o**2 + 259*o + 2645. Give b(139).
4
Let z(l) = 806*l + 5610. Give z(-7).
-32
Let v(h) = 39*h + 17. Give v(2).
95
Let v(c) = -5*c**3 + 72*c**2 - 31*c + 22. Calculate v(14).
-20
Let f(u) = -u**2 + 32*u - 28. Determine f(38).
-256
Let c(k) = k**2 + 56*k + 230. Give c(-5).
-25
Let b(z) = 28*z + 1823. What is b(-68)?
-81
Let n(x) = 61*x**3 + 49*x**2 + 2*x + 1. What is n(-1)?
-13
Let l(s) = 125*s**3 + 3*s**2 + 25*s - 27. Calculate l(1).
126
Let f(d) = 2*d**3 - 58*d**2 - 73*d + 172. Give f(30).
-218
Let f(s) = -s**2 - 988*s - 5895. Give f(-6).
-3
Let q(m) = -m**3 + 72*m**2 - 277*m + 332. What is q(68)?
-8
Let x(h) = -4*h**2 - 182*h + 59. Give x(-46).
-33
Let m(c) = 124*c + 327. Give m(3).
699
Let q(u) = u**3 - 41*u**2 - 170*u - 505. Determine q(45).
-55
Let l(u) = u**3 + 6*u**2 + 3*u - 9. Determine l(1).
1
Let c(k) = -2*k**2 + 7*k + 29. Determine c(-5).
-56
Let n(g) = 1915*g - 15315. Determine n(8).
5
Let p(n) = -152*n - 2168. Determine p(-15).
112
Let c(k) = k**3 + 70*k**2 + 47*k - 1517. Determine c(-69).
1
Let a(m) = -920*m + 3676. What is a(4)?
-4
Let t(x) = -24*x**2 + 125*x - 376. What is t(3)?
-217
Let m(j) = -j**3 - 16*j**2 - 7*j + 88. What is m(-3)?
-8
Let g(t) = t**3 - 16*t**2 + 18*t - 79. Give g(14).
-219
Let c(u) = u**2 - 4*u + 47. Give c(-10).
187
Let o(g) = -g**3 - 41*g**2 + g + 120. Determine o(-41).
79
Let w(h) = -h**3 - 6*h**2 - 4*h - 59. Give w(-7).
18
Let g(p) = 178*p - 31306. What is g(176)?
22
Let b(o) = 4*o**2 - 30*o + 1. Calculate b(6).
-35
Let f(q) = -18*q**2 + 49*q + 360. Calculate f(6).
6
Let w(o) = 44*o - 828. Calculate w(19).
8
Let t(q) = -q**3 - 54*q**2 + 526*q + 1861. Calculate t(-62).
1
Let k(h) = -2*h**3 + 33*h**2 - 179*h + 491. What is k(10)?
1
Let s(l) = -l**2 + 317*l - 3357. What is s(11)?
9
Let p(s) = 3*s**2 - 22*s - 10. What is p(7)?
-17
Let m(c) = 25*c**2 + 130*c + 130. What is m(-1)?
25
Let d(j) = -193*j - 88. Give d(-1).
105
Let c(v) = -v**3 + 6*v**2 - 85*v + 396. Determine c(5).
-4
Let s(r) = 51*r**2 + r. Give s(2).
206
Let f(o) = o**3 + 3*o**2 - 107*o - 22. Determine f(-12).
-34
Let n(c) = -7*c - 64. Calculate n(-1).
-57
Let s(y) = -y**3 - 12*y**2 + 30*y + 339. Give s(-9).
-174
Let q(o) = 588*o - 611. Give q(1).
-23
Let z(s) = -s**2 + 16*s - 52. Determine z(3).
-13
Let j(y) = y**3 + 15*y**2 + 501*y + 6181. Give j(-13).
6
Let t(p) = -2*p**3 + 155*p**2 - 226*p - 73. Determine t(76).
79
Let n(y) = 53*y + 80. Calculate n(-2).
-26
Let u(m) = -10*m**2 + 387*m - 1981. Determine u(5).
-296
Let y(o) = o**2 - 4*o - 31. Determine y(-3).
-10
Let r(b) = -403*b + 9108. What is r(22)?
242
Let c(j) = 49*j**3 + 3*j**2 - 2*j - 1. Calculate c(1).
49
Let a(u) = u**3 + 35*u**2 + 94*u - 60. Determine a(-32).
4
Let t(i) = 53*i - 388. Calculate t(7).
-17
Let c(t) = -2445*t - 7504. Give c(-3).
-169
Let o(m) = 27*m + 1530. Calculate o(-57).
-9
Let l(v) = -v + 36. Give l(-17).
53
Let x(h) = -h**3 - 27*h**2 - 123*h + 6. Calculate x(-6).
-12
Let o(b) = b**3 + 44*b**2 + 85*b + 1802. What is o(-43)?
-4
Let b(x) = -527*x - 3046. Determine b(-6).
116
Let p(v) = -7*v**2 + 92*v + 70. Determine p(14).
-14
Let q(j) = -7*j**2 - 167*j + 605. Calculate q(-27).
11
Let b(p) = -3*p**3 + 37*p**2 - 41*p - 25. Determine b(11).
8
Let r(c) = c**2 + 125*c + 3310. Give r(-87).
4
Let q(t) = -t**2 + 64*t - 980. What is q(35)?
35
Let u(h) = -h**3 - 9*h**2 + 5*h - 32. Determine u(-10).
18
Let t(i) = 3*i**2 + 30*i + 1. Determine t(-10).
1
Let l(c) = -12*c - 298. Give l(7).
-382
Let s(p) = 185*p + 6299. What is s(-34)?
9
Let r(z) = 28*z + 85. Determine r(-5).
-55
Let m(b) = -5*b - 49. What is m(-11)?
6
Let c(n) = -24405*n - 97622. Calculate c(-4).
-2
Let n(o) = -345*o + 4116. Give n(12).
-24
Let n(u) = 66*u + 1892. What is n(-27)?
110
Let b(t) = 25*t + 96. Give b(0).
96
Let r(n) = 3*n**2 + 57*n + 45. Determine r(-22).
243
Let w(b) = 11*b - 158. Calculate w(14).
-4
Let o(g) = -9*g**2 - 16*g - 27. Determine o(-7).
-356
Let v(o) = 10*o**3 + 8*o**2 - 36*o + 9. Give v(4).
633
Let l(s) = -2*s**2 - 9*s + 6. Calculate l(-2).
16
Let l(y) = y**3 + 15*y - 442. Calculate l(7).
6
Let t(h) = -h**3 + 175*h**2 - 5406*h + 805. What is t(135)?
-5
Let u(j) = 6*j**2 + 5*j - 2. What is u(8)?
422
Let k(i) = -4*i**2 + 7*i - 3. Give k(5).
-68
Let l(i) = 29*i + 78. Give l(-3).
-9
Let i(b) = 74*b**2 - 510*b - 40. Calculate i(7).
16
Let g(v) = -1241*v - 43469. Determine g(-35).
-34
Let x(m) = 103*m + 448. Give x(-5).
-67
Let g(f) = 445*f - 7525. Determine g(17).
40
Let f(r) = 3*r**2 + 3*r - 72. Give f(7).
96
Let w(z) = -z**2 + 17*z + 393. Calculate w(-13).
3
Let p(h) = -19*h + 103. Calculate p(-2).
141
Let k(n) = 378*n - 4533. Give k(12).
3
Let x(v) = -v**3 + 48*v**2 + 1105*v + 1. What is x(65)?
1
Let i(l) = -l**2 - 6*l + 377. Determine i(16).
25
Let k(i) = -235*i + 1686. Give k(7).
41
Let y(d) = -33*d - 323. Determine y(-6).
-125
Let w(n) = 4*n**3 - 6*n**2 - 6*n + 16. What i | {
"pile_set_name": "DM Mathematics"
} |
, -v = -y - 1. Let g(x) = -2*x**2. Let j be g(1). Let r be 15/10*j/(-9). Which is the second biggest value? (a) 0.1 (b) r (c) y
b
Let o = -6 + 9. Let i = 6 - 4. Let d = i - 1.5. What is the smallest value in d, o, 2/7?
2/7
Let f(j) = -j + 5. Let i be f(8). Let w be i/20 + 3/(-12). Which is the second smallest value? (a) w (b) 0.3 (c) 2
b
Let z = -3.01 + 3. Let n = z - 1.49. Let i = 2 + n. Which is the third biggest value? (a) 5 (b) i (c) 4
b
Let j = 0.8 + -0.3. Let b = -0.45 - -1.45. What is the biggest value in -5, j, b?
b
Let h = 24.36 - 28.3. Let q = -0.06 + h. What is the smallest value in -0.5, 5, q?
q
Let l = -98 - -95. What is the smallest value in -5, 5, l?
-5
Let p = 14 - 184/13. Let s(q) = q**2 + 5*q - 2. Suppose -4*r = 20 + 4. Let l be s(r). Which is the third biggest value? (a) p (b) -2/5 (c) l
b
Suppose y = -1, -3*q - 4*y = -0*q + 1. Let z be 76/(-36) - -2*q. Which is the second biggest value? (a) -0.02 (b) 0.1 (c) z
a
Let p be -1 + 3 + -1 + 24/(-20). Which is the fourth smallest value? (a) -0.4 (b) 3/2 (c) -4 (d) p
b
Let i = 9468824/159 + -59552. Let y be (1/53)/(2 - 3). Let f = i + y. Which is the biggest value? (a) 2 (b) 4 (c) f
b
Let n = -70 - -63. What is the second smallest value in 2, 1/4, n, 0.5?
1/4
Let t be (-1 + 8/5)/1. Suppose 4*o - 2*o = -4*n + 30, -o + 5 = 0. Let l = 3.5 + 0.5. Which is the third biggest value? (a) n (b) t (c) l
b
Let q be (-76)/70 + 6/21. Let f = 1 + 2. Which is the second smallest value? (a) q (b) f (c) 3/2
c
Let v be 9/2 + (-45)/30. Suppose 5*r + 10 = 3*g + 35, -2*r + 10 = v*g. What is the third smallest value in 1/6, 9, r?
9
Let g = 50 - 248/5. What is the second biggest value in -0.4, -4, g?
-0.4
Let u = -29 - -26. What is the biggest value in u, 2/15, 5?
5
Let u = 1.3 + 0.7. Which is the smallest value? (a) -0.5 (b) 1/5 (c) u
a
Let g = 0.53 - 0.03. Let i = 0.4 - 0.9. Let v = g - i. Which is the third smallest value? (a) v (b) 0.4 (c) 2/7
a
Let i be 4 + 52/(-16) - 1. Which is the second biggest value? (a) 0.4 (b) i (c) 3/7
a
Suppose 0 = 3*a - 0*h + 3*h + 21, 0 = 4*a - 3*h + 7. What is the third biggest value in 5, a, 0.5?
a
Let v = -22 - -19. What is the second biggest value in v, 1/2, 1?
1/2
Let f = 379/5 - 75. What is the third smallest value in 2/5, f, 0?
f
Let p = 29 + -28. What is the smallest value in 3, -6, p?
-6
Let j = 3 + -12. Let r = j - -13. Let s be (0 - 1 - 3) + 1. Which is the second smallest value? (a) s (b) 0.4 (c) r
b
Let f = -122 - -117.94. Let w = -17 + 17.06. Let t = w + f. Which is the third smallest value? (a) -0.1 (b) -2/7 (c) t
a
Let i be (-2)/10 - (-5 + 845/150). What is the third smallest value in 1, -0.1, -0.5, i?
-0.1
Let f = -4.8 + 1.8. What is the second biggest value in f, -4, 0.05?
f
Let c = 48 + -49. What is the second biggest value in 0.06, c, -1/9?
-1/9
Let k = 22 - 27. Which is the third smallest value? (a) -1.6 (b) k (c) -2/9
c
Let t be (-24)/18*(-18)/8 - 0. Let j be (0/1 - 5)*1. Which is the biggest value? (a) t (b) -0.1 (c) j
a
Suppose g = 3*c - 5, 2*c + 2*c - 32 = -5*g. Let d = c - 2. Let m be d*1/2*-3. What is the biggest value in -1/10, -3/5, m?
-1/10
Let d be 2/(-3 - 5/(-2)). Let t = 2 + d. Let n = -1 - 1/3. Which is the third smallest value? (a) t (b) -1/5 (c) n
b
Let r be -4*((-2)/12)/1. Let m = -1 - -1.04. Let x = 1.96 + m. Which is the smallest value? (a) -3 (b) r (c) x
a
Let i = -3.7 + -2.6. Let w = 2 + 4. Let d = w + i. Which is the second smallest value? (a) d (b) -0.1 (c) -3
a
Let k = -7.35 + 2.8. Let a = k - -0.44. Let g = 0.11 + a. What is the second biggest value in -1, g, 1/3?
-1
Let n = 0.06 - 0.47. Let w = 0.01 + n. What is the smallest value in w, -1, -3/8?
-1
Let c = 94 + -848/9. What is the third smallest value in -3, c, 0.3?
0.3
Let r = 0 - 0. Let m be (-2)/4*2 + r. Let a = -17.3 - -17. What is the second biggest value in m, a, -2/13?
a
Let y = -1 - -0.5. Let g = -0.5 + y. Which is the third smallest value? (a) 0.4 (b) g (c) -3
a
Let q = -19 + 18. Which is the biggest value? (a) q (b) 1 (c) 3 (d) -2
c
Let a be 2/4 - 54/92. Let d be 4/(-10) + 2199/(-15). Let z be (-7)/(d/36) - 2. What is the third smallest value in z, a, -3?
a
Let a = -10 + 14. Suppose -2*v + 204 = -a*v. Let r = -514/5 - v. What is the biggest value in r, -0.4, -1?
-0.4
Let a = 6 - -3. Let j = -6 + a. Let w = -23 - -28. What is the second biggest value in w, -5, j?
j
Let h = 0 - 1.9. Let p = 2 + h. What is the third biggest value in 0, 1, p?
0
Suppose -p - 3*p + 8 = 0. Let r be ((-48)/(-56))/(1*p). Which is the second smallest value? (a) 2 (b) r (c) -3
b
Let g = 392/3 + -132. Let i = -0.4 + 0.3. Which is the smallest value? (a) i (b) g (c) -5
c
Let q = -24 - -35. Let j = -8 + q. Let m = -15 + 12. What is the third smallest value in m, j, -5?
j
Let l = -13 + 12. Let z = 3/4 + l. Which is the smallest value? (a) 1/4 (b) 0.3 (c) z
c
Let n be (-10)/135*(3*-2)/1. Which is the fourth smallest value? (a) 0.01 (b) n (c) -5 (d) -3
b
Let g = 26 + -31. Which is the second smallest value? (a) -1/9 (b) 1 (c) -3 (d) g
c
Suppose -3*u + 4*v + 18 = 0, -4*u + 0*v - 1 = 3*v. Let d = 0 + 38. Let o be u/(-3) - d/(-48). What is the third biggest value in -0.1, o, -5?
-5
Let n = -19 - -19.18. Let u = n - -0.02. Which is the second smallest value? (a) u (b) -3 (c) 2
a
Let z = -7326 + 36469/5. Let v = z - -32. Which is the third smallest value? (a) -2 (b) 2 (c) v
b
Let l = -177.9 + 178. Which is the biggest value? (a) 5 (b) 0.4 (c) l
a
Let k = 0.28 - 0.08. Let b = 3 - 7. What is the second smallest value in k, b, 0.1?
0.1
Let f = -0.54 + 0.64. What is the second biggest value in f, 0.5, -3?
f
Let z = 0.21 - 9.21. Let v = z + 13. What is the second smallest value in -1, v, -0.3?
-0.3
Suppose -j + 0*j + 4 = 2*f, 4*j + 5*f - 4 = 0. What is the smallest value in j, -3, 5?
j
Let y = 24 - 23. Which is the third biggest value? (a) y (b) -0.2 (c) -5
c
Let m = -0.3 + -1.7. What is the biggest value in m, 0, -10?
0
Let w = 33 + -33.3. Let l = -0.1 + -0.9. What is the smallest value in -4, w, l?
-4
Let l = 0 + 2. Suppose 5*m = -2*s - s - 21, 0 = -4*m - s - 14. Let r be 0 + (-88)/(-28) + m. What is the second biggest value in l, r, 0?
r
Let p = -0.6 + 2.6. Let m(z) = z**2 - 4*z + 2. Let s be m(2). Which is the smallest value? (a) s (b) 5 (c) p
a
Suppose n - r - 13 = 4*n, -n + 4*r = 0. What is the second smallest value in n, 1/3, -2?
-2
Let o(q) = -q**3 + 4*q**2 - 2*q - 1. Let l be o(2). Let s = -44 - -39. What is the third smallest value in s, 2, l?
l
Suppose 0*v + 9 = v. Let d be (3/v)/(1/6). Let n(s) = -s**3 + 3*s**2 - s + 1. Let l be n(d). Which is the second smallest value? (a) -2/23 (b) l (c) 2
c
Let p = -1.5 - -1. Let u = -2.98 + -0.02. Let r = u + 3.5. What is the biggest value in r, 5, p?
5
Let j = -64 + 38. Let m = 26 + j. Suppose -6 - 3 = -3*g. Which is the third biggest value? (a) m (b) g (c) 0.2
a
Let y = 243/5 + -49. Let j = 77.1 + -82. Let a = -5 - j. What is the second smallest value in 0.4, a, y?
a
Let r be ((-2)/(-6))/1*36/90. What is the second biggest value in r, 3, -0.2, 2?
2
Let d be ((-5)/45)/(2/3). What is the second biggest value in d, -0.2, 5?
d
Let w = 1 - -1.4. Let q = w + -2. Which is the third biggest value? (a) q (b) -0.3 (c) -2/13
b
Let u be (-12)/30 - (-3 - -1)/30. Which is the smallest value? (a) -5 (b) -0.3 (c) u
a
Let s = 7.1 + -6.1. What is the third smallest value in 0.5, s, -11/6?
s
Suppose 1 = -y + 3. Suppose -y = f + f. Suppose -5*p + 4*s + 41 = 0, -2*s = -5*p - s + 29. Which is the biggest value? (a) -0.1 (b) f (c) p
c
Let r = 0.25 - -9.75. Let n = -9.6 + r. Which is the second smallest value? (a) n (b) -0.4 (c) -3
b
Let b be 0*(-6)/(-12) - (-6)/4. Suppose -25 = -0*l - 5*l. What is the third biggest value in b, 4, l?
b
Suppose -h - 2*h - 15 = -3*u, 0 = u - 5*h + 11. Which is the smallest value? (a) u (b) 0.5 (c) 0.2
c
Let n = -0.5 + 0.8. What is the third smallest value in -3, n, 3?
3
Let v = -42.33 - 1.67. Which is the third biggest value? (a) v (b) 5 (c) -1/6
a
Let q = -0.39 - -0.09. What is the third smallest value in q, -2, 3?
3
Let o = 0.79 + -0.8. Let g = o + -0.39. Let k be ((-20)/18)/((-8)/(-6)). Which is the smallest value? (a) k | {
"pile_set_name": "DM Mathematics"
} |
4*f - 42 + 60. Let x be z(4). Solve -3*c - 7 = x for c.
-4
Let f = -24690 - -24706. Solve -84*p + f*p - 544 = 0 for p.
-8
Suppose -7*z = -6*z - 7. Let q be ((6 + -2)*z)/(2/3). Let b = -42 + q. Solve 3*y - y + 6 = b for y.
-3
Let g(b) = b**2 - 15. Let m be g(5). Let l(n) = 15 + m - 7*n - 2*n**2 + n**2 + 12*n. Let c be l(8). Solve 0*d + c = -d for d.
-1
Let a = 7956 + -5916. Solve -2034*c = -a*c - 18 for c.
-3
Suppose 14 = 35*k - 30*k - 4*q, 5*k = -q + 9. Let h(u) = -u**2 + 8*u + 14. Let c be h(0). Solve -4*j + k + c = 0 for j.
4
Let z = 76 + -69. Suppose -z = d - 11. Suppose -u - 10 = -l + d*u, l + 2*u = -4. Solve 5*s + 20 = -l*s for s.
-4
Let k = 2293 - 2270. Solve -k*r = -6*r for r.
0
Let g = 1041 + -1035. Solve 87*h - 85*h + g = 0 for h.
-3
Let v = -554 + 454. Let c be v/(-32) - 9/72. Solve c = 7*z - 4 for z.
1
Let v(r) = -r**2 - 2*r + 4. Let m be v(-4). Let b be (-20)/(-16)*(0 - m). Suppose -2*g - 6 = -b*g. Solve -2*x = g*x - 20 for x.
5
Let i(q) = 3*q**2 - 20*q + 16. Let b be i(6). Suppose 4 = -2*o + 10*p - 5*p, b*p = -3*o + 40. Solve 0 = 2*v - o + 18 for v.
-5
Let m be 58*((-25)/10 + -2). Let l = 261 + m. Solve -g + 1 - 2 = l for g.
-1
Let n = 8817 + -8790. Solve -9*y = 18 - n for y.
1
Suppose -5*d - 6*w + 287 = -7*w, 2*d - 118 = 2*w. Solve 40 = 65*a - d*a for a.
5
Let j = -4 + 11. Let m(l) = -6*l - 98. Let s be m(-18). Let h = j + s. Solve -2 + h = 3*c for c.
5
Let a be (-66)/(-55)*1280/48. Solve 4*b - 12*b - a = 0 for b.
-4
Suppose 475*z = 450*z + 1555 + 1570. Solve 126*n - z*n + 6 = 0 for n.
-6
Let z be -6 + 10 + (5 - 1) + -2. Suppose -12 = 4*v, 4*v = 3*g - z - 6. Solve g = 5*s - s for s.
0
Suppose -19 = -5*d - 2*s + 11, -d - 5*s + 6 = 0. Let a be -6*(((-17)/d - -2) + 0). Solve -a*l + 4*l - 3 = 0 for l.
-3
Let o be 2*(5 - 2)/(-3). Let k be o/6 + (-406)/(-21). Solve -7 + k = 6*z for z.
2
Let j(b) = -2*b**2 + 141*b - 882. Let c be j(7). Solve 0 = c*w - 17 - 11 for w.
4
Let t be -5*(-5 + (-6 - -12)) - (2 + -7). Let k = 23 + -15. Solve t = k*c - 1 + 9 for c.
-1
Let p(u) = u**3 - u**2 + 2*u + 2. Let m be p(0). Suppose 7 = 3*n - m*k, -3*k + 33 = 2*n + 11. Let d(g) = -4*g**3. Let f be d(-1). Solve n*h - 9 + f = 0 for h.
1
Let q(y) = y**2 + 10*y - 33. Let z be ((-26)/(-1))/(6*12/(-36)). Let n be q(z). Solve -n*w + 5*w - 3 = 0 for w.
-3
Let s be 14 + 0 - (-1 + 0). Let f be (-53)/106 + (-10)/(-4). Let w be f/(-22) - (-2)/22. Solve w = t + 4*t - s for t.
3
Suppose -27*g - 107*g + 22646 = 0. Solve -g*j + 18 = -166*j for j.
6
Let h(l) = -2343068*l**2 - 36*l + 2 + 2343066*l**2 - 8*l. Let b(a) = -a**2 + 3. Let m be b(-5). Let j be h(m). Solve 0 = -j*q + 8 for q.
4
Let j(k) = k - 30. Let c be j(26). Let f be (-18)/(-3) + 24/c. Solve f*s - 5*s = -5 for s.
1
Suppose 232 = 3*u + 166. Solve 0 = -u*c + 43 - 131 for c.
-4
Let z be ((-2)/4)/((-126)/(-16) - 8). Suppose -3*l + 5 = 5*r, -z*r - 63 + 13 = -3*l. Solve l*h + 6 = 8*h for h.
-3
Let l(r) = -r**3 + 9*r**2 - 19*r - 3. Let p be (-2)/6*5*-3. Let f be l(p). Solve f*w + 20 = -2*w for w.
-5
Let p be 2 + -1 - 2 - -2. Let i = 864275 + -864273. Solve i*t = -p + 3 for t.
1
Let l(b) = -9*b + 99. Let v be l(11). Solve -a + v + 6 = 0 for a.
6
Let g(a) = -4*a - 18. Let y be g(-5). Suppose 0 = -4*k - 9 - 7, -j - y*k = -1. Suppose -2*i + j*i = 7. Solve 2*d + i = 3 for d.
1
Let w = -338 + 347. Let x be 2 - (w/(-54) - 2/(-12)). Solve x*i + 12 = 6*i for i.
3
Let f be (-4)/(-34) + 9030/119. Solve 0 = f*r - 9*r + 134 for r.
-2
Let o(a) = 21*a + 6. Let j be o(2). Suppose j = 3*r + 6. Suppose r*m = 15*m - 3. Solve 0 = -m*q - q for q.
0
Suppose -556 = -5*i + 2*u, -18*u + 110 = i - 19*u. Suppose -11*d - i = -332. Solve -5 + d = -5*s for s.
-3
Let q(z) = -4*z + 63. Let h = 7 - -8. Let r be q(h). Solve 0 = -5*v + r*v - 8 for v.
-4
Let d(y) = -y**3 - 26*y**2 - 26*y - 45. Let u be d(-25). Let n be (u/4)/(-5) - (-1 + -1). Solve 4 = -n*m + m for m.
-2
Let j = -38 + 52. Suppose p + j = 2*f + 3*p, 3*p - 27 = -5*f. Solve -6*t = -f*t - 6 for t.
2
Suppose -3*j + 0*j - 2*k = -109, 5*j + 3*k = 183. Solve 8*r + 55 = j for r.
-2
Let a(f) = 11*f**2 + 4*f - 4. Let k be a(1). Suppose -7*u + k*u + 16 = 0, -5*c = 2*u - 67. Solve 15*n - c = 10*n for n.
3
Let m = 4696 - 4657. Solve -4*w - m*w = -387 for w.
9
Suppose k - 13 = -5*a, 3*a - 6*a = 2*k - 12. Suppose 0 = 10*t - k*t. Suppose t = 4*m - 14*m + 30. Solve m*p + 5 = 14 for p.
3
Let z be (-930)/(-4) + (-5)/10. Let a = z + -229. Solve 0 = -2*w + 5*w + a for w.
-1
Let s(r) = -r**2 + 9*r - 3. Let h be s(8). Suppose 0 = -4*o - 0*o - 16, a + 2*o = h. Solve 3 + a = -4*p for p.
-4
Let v be (4/(-6))/(198/297) + 302. Solve -5*r + 296 = v for r.
-1
Let k = 463 + -461. Let z be -2 + -1 + (k - 28/(-4)). Solve 12*j - 10*j + z = 0 for j.
-3
Let s = -351 + 354. Let p be s + (7 - 11)/(-2). Solve -p*i = 2*i + 21 for i.
-3
Let q be 3 - 213*(-7 + 6). Let u = 219 - q. Solve -4*x = -u*x for x.
0
Suppose 39 - 41 = -b + 3*g, 8*g = b + 3. Suppose w + w = 72. Solve -b*i - w = -56 for i.
4
Suppose 0 = -5*h - 3*a, 18*a = -28*h + 27*h. Solve 14*q - 32 - 52 = h for q.
6
Suppose -5*y + 3*q = -2*y + 15, q - 41 = 5*y. Let l be (-2)/(-18)*(0 - y). Let m be (-2 + 4 + 5)*l. Solve -4*w + 5 = -m for w.
3
Let m(v) = -v**3 - 7*v**2 - 5*v - 15. Let y be m(-7). Suppose y*o + 416 = 36*o. Solve 0 = o*d - 29*d for d.
0
Let a = -3083 - -3085. Let l be 76/2*(-3)/(-6). Solve l = a*p + 9 for p.
5
Let s = -268 - 228. Let n = s - -497. Solve 0 = -b + 4 + n for b.
5
Suppose 401*p - 462 = 335*p. Solve -153*t + 152*t = -p for t.
7
Let d be -4*((-289)/12)/((-52)/(-156)). Solve 277*p - 84 = d*p for p.
-7
Suppose -25 = -6*r + r. Let k(b) = -r + 11*b + b**2 + 3 + 26. Let s be k(-8). Solve -2*f + s = 6 for f.
-3
Suppose 5*l - 2*o + 1250 = 0, -l + 6*o = 11*o + 223. Let n = -244 - l. Solve n*m + 3 = -1 for m.
-1
Let p(h) = -h**2 - 36*h + 318. Let l be p(-42). Solve 74*j = l*j + 8 for j.
1
Let n(m) = 4*m - 4. Let c be 4 + (-25 - 2) - 1. Let l be (-28)/c - (-2)/(-12). Let z be n(l). Solve z*i - 16 = -4*i for i.
4
Let a be (19 - 117/13) + 52*3. Solve -18*g - a = -76 for g.
-5
Let z be ((-8)/10)/(3/(-15)). Let h = -1590 - -1606. Solve h*c + z = 12*c for c.
-1
Let m be (-1 + -55)/(6 + -7). Suppose -4*z - m = -4*v, v + z - 40 = -4*v. Suppose -133 = -27*g + 8*g. Solve -g*x = -4*x + v for x.
-3
Let r(a) = -a**2 + 29*a + 98. Let o be r(32). Solve 21*g = o - 2 for g.
0
Suppose d = 2 - 9. Let v(w) = -w - 2. Let p be v(d). Let s = -62 + 66. Solve -s*r = -p*r for r.
0
Let u be ((-583 - (-64)/8) + -2)/((-4)/8). Solve -1159*i - 15 = -u*i for i.
-3
Let y = -44 - -51. Suppose -3 = 4*g - y*g. Let i(n) = 9*n**2 - 3*n + 2. Let j be i(g). Solve 0*d = -2*d - j for d.
-4
Let v = -178 - -190. Suppose -32*j - v = -34*j. Solve -u = j - 10 for u.
4
Let f = 1186 - 973. Solve 0 = -4*x - 229 + f for x.
-4
Suppose 9*i - 9373 = -2118 + 2690. Solve -i*s + 1111*s = 12 for s.
2
Let o(d) = -d**2 - 69*d - 584. Let f be o(-10). Solve -35*x - f*x - 7*x = 0 for x.
0
Suppose 2*n - 17 = -3, -2*b + 3*n = -4057. Solve -b*k + 2031*k + 32 = 0 for k.
4
Suppose 2*x - x = s - 3, 3*s - 2*x - 8 = 0. Suppose l - s = -0. Let h(y) = y + 54. Let a be h(-50). Solve -a*m + l = 10 for m.
-2
Suppose 0 = -2*z - 3*n - 33, -4*z + 0*n - 42 = -2*n. Let v be -2 - (z - (-1 + -3)). Suppose u + 3*k - 3 + 8 = 0, 5*k + 31 = 4*u. Solve -18 = -u*w - v for w.
3
Suppose -3*q + 3*t + 12 + 9 = 0, -4*t - 20 = 0. Suppose 68 = 15*n + q*n. Solve 0*s + n*s + 20 = 0 for s.
-5
Suppose 4 + 20 = 2*y. Let w(x) = -3*x**2 + 30*x + 2. Let l be w(10). Solve -l*p = 2*p + y for p.
-3
Suppose -4*p - 316 = 4*l, -3*p - 217 = 2*l - 4*l. Let c = -75 - p. Suppose -6*y + 10 = -y. Solve c = -y*f - 2 - 4 for f.
-3
Let w(d) = d**2 + 62*d + 356. Let x be w(-56). Solve -17 + 77 = -x*s for s.
-3
Let j be (-5)/(2/7 + (-171)/525). Let a = 202 - 81. Let c = j - a. Solve -c*n = -6*n for n.
0
Let h be 99 + -27 + (2/(-14) - 272/56). Solve 8 = -65*g + h*g for g.
4
Let t be -6 - -68*4/8. Suppose -t = 74*l - 81*l. Solve l*u + 8 = -0*u for u.
-2
Let g(w) = 13*w**2 + 15*w + 12. Let x be g(-1). Solve 4*h + x = 9*h for h.
2
Let t(s) = s**3 - 13*s**2 - 14*s + 2. Let j = -4 + 18. Let n be t(j). Suppose r + 0 = 2. Solve n*o = -4 - r for o.
-3
Suppose 25 = 10*v + 5. Let i be v/4*32/4. Let x(g) = -g - 9. Let t be x(-13). Solve 0 = -t*k + i for k.
1
Let w be (-155)/(-186 | {
"pile_set_name": "DM Mathematics"
} |
s digit of l?
2
Suppose 0*i = 5*n + 2*i + 14, n - 4*i + 16 = 0. Let w = n + 16. What is the units digit of w?
2
What is the units digit of 7/((-56)/160 - (-4)/10)?
0
Suppose 53 = 5*i - 57. Suppose y - i = -5. What is the tens digit of y?
1
Let d be (-164)/(-16) + (-1)/4. Suppose f + q = 4*f - d, -5*f = -2*q - 16. Suppose f*g - 32 = -b + 4*b, -5*g - 3*b = -40. What is the units digit of g?
8
Let n = -51 + 86. What is the tens digit of n?
3
Let x = -31 - -53. Suppose j = m - j - x, 5*j + 31 = m. What is the tens digit of m?
1
Let v(h) = -h**3 - 5*h**2 + 2. Suppose 20 - 5 = -3*c. Let f be v(c). Let p = 3 - f. What is the units digit of p?
1
Let l(r) = 35*r**3 + 1. What is the tens digit of l(1)?
3
Suppose 0*s = -2*s + p + 227, 3*p = 2*s - 225. What is the hundreds digit of s?
1
Suppose -4*c = 3*z - 28, z + 12 = -c + 5*z. What is the units digit of c?
4
Let b = -20 + 41. Suppose -4*k = 4*f + 12, -k - 5*f = -2*k + b. What is the units digit of k?
1
Let c be (1 - 3/6)*-68. Let v = c - -55. What is the tens digit of v?
2
Let n(d) = d - 2. What is the units digit of n(4)?
2
Let s(m) = -m**3 - 8*m**2 - 7*m + 8. What is the tens digit of s(-8)?
6
Let y = -19 + 28. Let z be 11/y - (-4)/(-18). Let l = 0 + z. What is the units digit of l?
1
What is the units digit of (474/30)/((-3)/(-15))?
9
Suppose 3*s + 15 = 0, -3*l - 9 = -2*s + 5*s. Let p be (2 - l - -2) + -24. What is the units digit of (-10)/(-55) - 282/p?
3
Suppose -2*r - 2*u = -0*u - 42, 4*u = 12. Suppose j + 4*j = 2*z - r, 5*j + 22 = -2*z. What is the units digit of (2/6)/(z/(-6))?
2
Let b be (-1 + 0)/(6/(-12)). Suppose -m + 3*h + 13 = h, -b*h = m - 29. What is the units digit of m?
1
Suppose -340 + 1187 = 5*t - 2*z, 506 = 3*t + z. What is the hundreds digit of t?
1
Suppose -2*f - 2*p = -220, -4*f + 3*p = -9*f + 550. What is the tens digit of f?
1
Let s be (-5)/((-3)/(6/2)). Suppose 3*x - 13 = w + 96, 176 = s*x + 4*w. What is the tens digit of x?
3
Let s(h) = h**2 - h + 9. Let n be -1 + (-1 - -1) + 1. What is the units digit of s(n)?
9
Let t be (-88)/(-4)*3/(-2). Let a = 75 + t. What is the units digit of a?
2
Let i = -100 - -197. What is the units digit of i?
7
Suppose 0 = 6*j - j - 50. What is the units digit of j?
0
Let x = 13 + -2. Suppose -2*m + x = -7. What is the units digit of m?
9
Let s(p) = 6*p - 9. Let v be 1/3 + 34/6. Let n be s(v). What is the units digit of 2/3*n/6?
3
Suppose 12*s - 1608 = -0*s. What is the tens digit of s?
3
Let t(u) = -u + 3. Let m = 5 + -3. Let k be t(m). Let y = 0 + k. What is the units digit of y?
1
Let c be (6 - 6)*(-2)/4. Suppose k = -c*k - 4*r + 24, -4*r = 3*k - 32. Let j(d) = 2*d + 5. What is the tens digit of j(k)?
1
Let h(r) = 4*r**3 - 2*r**2 - r - 1. What is the units digit of h(2)?
1
Suppose 0 = -n + 2*m - 20, -n + m - 13 = 7. Let d = 5 - n. What is the tens digit of d?
2
Suppose 4*v - 12*v + 3296 = 0. What is the tens digit of v?
1
Suppose 2*s - 5*u - 24 = 6*s, 5*u = 2*s - 18. What is the units digit of 1/(-3*s/39)?
3
Suppose -5*g = 0, 350 = 5*h + 2*g - 3*g. What is the units digit of h?
0
Suppose -3*v = 7*v - 1110. What is the units digit of v?
1
Suppose 0 = -5*y + 6*f - f + 15, -2*y = -3*f - 9. Suppose y = -w - w + 2. What is the units digit of w?
1
Suppose 0 = -o - 2*o + 135. Suppose -o = d - 4*d. What is the tens digit of d?
1
Let k(o) = -47*o - 12. What is the units digit of k(-2)?
2
Let k = -1 + -2. What is the units digit of (2 - k) + (2 - 4)?
3
What is the tens digit of 42 + (3 + 1 - 2)?
4
Let k = 1 - 4. Let z be (5/k)/((-6)/126). Suppose 2*c + 14 = -3*l + z, -l + 24 = -5*c. What is the units digit of l?
9
Let h(c) = c**3 - c + 10. Let k be ((-4)/8)/((-1)/(-4)). Let l be (0/k)/(1 + 1). What is the tens digit of h(l)?
1
Let l = -132 - -200. What is the units digit of l?
8
Let m(i) = 2*i**3 - 7*i**2 + i + 5. What is the units digit of m(5)?
5
What is the hundreds digit of 4 - 4*-59 - 2?
2
Suppose 0 = -0*d + d - 5. What is the units digit of d + -4 + 3/1?
4
Let l = -32 + 48. Let s = -9 + l. What is the units digit of s?
7
Suppose 5*p - 8 = 17. Let j = 10 - p. What is the units digit of j?
5
Let s = -51 - -84. What is the tens digit of s?
3
Suppose 3*h - 14 = 4*v + 15, -4*h + 24 = 2*v. What is the units digit of h?
7
Let m = -4 - -10. What is the units digit of m?
6
Suppose -q + 4*k = -31, 0*q - 5*k = 4*q - 103. Suppose 5*f + 1 = -4*x, 2*x - f = 2*f + q. What is the tens digit of 22/(-8)*(2 - x)?
1
Suppose -9*v - 8*v = -1649. What is the units digit of v?
7
Suppose -z - 2*z + 197 = -5*x, x - 291 = -5*z. Let a(n) = 2*n - 3. Let u be a(4). Suppose -2*v - u*q + 40 = 3, -4*v + z = 5*q. What is the units digit of v?
1
Let u(w) = -w**2 + w + 23. What is the units digit of u(0)?
3
Let k(z) = -3*z. Let g be k(-1). Suppose 1 = 2*l - g*u, -2*l + 3*u = 3*l - 16. What is the units digit of l?
5
Suppose l + 3 = -1. What is the units digit of (14/l + 2)*-8?
2
Let i be -1*(138 + 2)/(-2). What is the units digit of 2/8 + i/8?
9
Let l be -2*((-15)/3 + 2). Suppose 2*t = -a + 2, 2*t + l = 3*a + 3*t. Suppose -s + 6 = a. What is the units digit of s?
4
Suppose 4*b - 10 = 58. What is the tens digit of b?
1
Let p = 141 - 95. What is the units digit of p?
6
Suppose -i - 2*j = -7*j - 31, 4*i + j = 124. Suppose -4*u + 57 = -i. Suppose -u = -2*r - 2*b, r - 3*b + 3 = 2. What is the units digit of r?
8
Let o(m) be the third derivative of -m**4/8 + m**2. What is the units digit of o(-2)?
6
Let z(g) = g + 5. Let b be z(-6). Let f = 2 - -1. What is the units digit of b/(f/3) + 6?
5
Suppose -2*z + 9*z = 2604. What is the hundreds digit of z?
3
Let j(a) = a**2 + 2*a + 3. Let u be j(-2). Suppose 0*r - 45 = -u*r. What is the tens digit of r?
1
Let k = -50 + 72. What is the units digit of k?
2
Let m(n) = -n**3 + n**2 + n + 1. Let j be m(0). What is the tens digit of ((-4)/5)/(j/(-15))?
1
Suppose 0 = -2*a + w + 260, -2*a - 70 = 3*w - 322. What is the hundreds digit of a?
1
Suppose 5*f = 21 + 4. Suppose -4*i = f*b - 49 - 12, 3*b - 2*i = 19. Suppose -6 = -5*g + b. What is the units digit of g?
3
What is the units digit of (-61 - -4)/(-3) + 0?
9
Suppose 12*q - 17*q + 165 = 0. What is the units digit of q?
3
What is the units digit of (74/(-4))/(1/(-2))?
7
Suppose n - 8 = 1. What is the units digit of n?
9
Suppose -2*c + 9 - 3 = 0. Suppose -4*u = c*i - 40, 3*i - 8*i = 3*u - 74. What is the tens digit of i?
1
Suppose -538 = -3*b - 2*z + 6*z, 0 = b - 5*z - 194. What is the hundreds digit of b?
1
Suppose 3*b + 0*b - 39 = -3*a, -5*a - 3*b = -75. What is the tens digit of a?
1
Suppose 0*k = 5*k - 65. Suppose 0 = -7*g + 2*g - 3*v + 20, -2*g = -4*v - 8. Suppose g*w = -5*q + 2*q + 16, -2*q = 3*w - k. What is the units digit of w?
7
Let w = 1 + -1. Let s(u) = 5*u**2 - 5*u**2 + u**2 + 10. What is the units digit of s(w)?
0
Suppose 3*o - 22 = 5*l, 0 = 4*l + 14 + 6. What is the tens digit of (-2)/((-2)/9) - o?
1
Let j(d) = -11*d. Suppose -40*l + 6 = -43*l. What is the tens digit of j(l)?
2
Let p = -3 + 15. Suppose p = -0*t + 3*t. What is the units digit of t?
4
Let t = -150 + 251. What is the tens digit of t?
0
Let c(h) = 0*h + 5*h - 4*h + 10. What is the units digit of c(-7)?
3
Suppose -v = 4*x - 15, -v - 2*v - 4*x = -13. Let p be -1 - (2 - (-5)/v). Suppose 3*w = -5*m + 28, 5*m - p*m - 6 = 0. What is the units digit of w?
6
Suppose 0 = -3*p + 4*v + 113, 0 = -0*p - 4*p + 3*v + 139. What is the tens digit of p?
3
Let x(h) = -h**3 + 5*h**2 - h - 1. Let g be x(5). What is the units digit of (-3)/6*g - 2?
1
Let q = 2 - 4. Let d be 4/(-8)*24/q. Suppose 2*m - d = -0*m. What is the units digit of m?
3
Suppose 2*i + 120 = 3*z - 21, 0 = 3*z + i - 132. Suppose 4*q - z = -q. What is the units digit of q?
9
Let l = 3 - 3. Suppose -3*u = 3*a + a - 69, l = 2*a + 3*u - 27. What is the tens digit of a?
2
Suppose -2*q + 7*q = 60. What is the units digit of (q - 3/(-1)) + -2?
3
Suppose i = 2*i + 1. Let j = i - -4. What is the tens digit of (-1 + 0)/(j/(-30))?
1
Let r(k) = 3*k + 3. What is the tens digit of r(4)?
1
Let t = 113 + -81. What is the tens digit of t?
3
Let p = 4 - 1. Suppose -p*v - 1 = -3*z + 5, 0 = 2*v - z. What is the units digit of v?
2
Let x(v) = v**3 - 5*v**2 + v - 1. Suppose u + 3*i + 40 = 6*u, 3*u - 30 = 3*i. Let z be x(u). Suppose -3*n + z = -n, 14 = r + 2*n. What is the units digit of r?
0
What i | {
"pile_set_name": "DM Mathematics"
} |
Let f = 4 - 7. What is the second smallest value in u, t, f?
u
Let f be (-4)/(-30) + 4/(-5). Let j = 1 + -1.5. Which is the third biggest value? (a) f (b) j (c) 4
a
Let m be (-176)/(-22)*1/18. What is the third smallest value in m, -5, -2, 0.4?
0.4
Let r = 321 - 2885/9. Let n be 10/(3*2/12). Let m be (2*(-6)/n)/1. Which is the third smallest value? (a) r (b) m (c) -0.4
a
Let h(s) = -9*s - 3. Let l(u) = u**2 - u. Let z(o) = h(o) + l(o). Let x be z(10). Which is the third smallest value? (a) 1/5 (b) x (c) -0.2
a
Let s(q) = -q**3 - 12*q**2 + 13*q. Let f be s(-13). Which is the third biggest value? (a) f (b) 7 (c) -0.3
c
Let o be (1 - 0)/((-1)/5). Let r be 4/6*(-54)/(-396). What is the second smallest value in o, r, -1/2?
-1/2
Let n be -2*(-5)/(-55)*-1. Which is the second smallest value? (a) n (b) -2/23 (c) -4/9 (d) -0.3
d
Let i(q) = -q + 8. Let r be i(0). Let h be (-4)/r - 1/(-4). Let j = -1/50 - -103/150. What is the second biggest value in 0.2, h, j?
0.2
Let w(j) = -j**3 + 5*j**2 - 2*j + 7. Let x be w(5). Which is the second smallest value? (a) 7 (b) x (c) 4
c
Let r be (-4)/7*(-7)/(-2). What is the third smallest value in r, 5, -5?
5
Let y = -3/73 - -100/657. Let k = 3.1 - 3. Let l = -459 + 461. Which is the biggest value? (a) y (b) l (c) k
b
Let x = 191 - 195. Which is the second smallest value? (a) -11 (b) -0.3 (c) -0.5 (d) x
d
Let i = 1872/11 - 170. Let m = 0.18 + -0.1. Let h = m - 0.18. What is the third smallest value in i, h, 0.3?
0.3
Let w be 2/2 + 9/(-36). Which is the second smallest value? (a) 0.1 (b) 4 (c) w
c
Let o be -1 + 1/12 - (-72)/108. Which is the third biggest value? (a) o (b) -0.3 (c) -1
c
Let j = 75.1 - 71. Let m = -1.1 + j. What is the third biggest value in -3, m, 0.5?
-3
Suppose 6*j + 50 = j. Let d be ((-4)/j)/(12/20). Let g = 0.1 + 0. Which is the second biggest value? (a) 2 (b) d (c) g
b
Let m be ((-6)/8)/(-3)*(-20)/35. Which is the fourth biggest value? (a) 3/16 (b) -0.3 (c) m (d) 3
b
Let x be (-21)/(-12) - (6 + -5). What is the smallest value in x, -4, -1/3, 0.5?
-4
Let w be ((-27)/(-44))/(18/48). Let t = 155/88 - w. Which is the third smallest value? (a) t (b) -2 (c) 2
c
Let y = -0.2 + -2.8. Let a = 347/5 - 69. Let f(j) = -j - 1. Let i be f(-5). What is the smallest value in a, i, y?
y
Let q = -6.6 - -5.9. Which is the third smallest value? (a) 1/7 (b) -0.5 (c) q (d) -1/3
d
Let i = -0.4 + 1.4. Which is the biggest value? (a) -5 (b) i (c) 5
c
Let r = 40 + -35. What is the biggest value in r, -4, -3/7, -5?
r
Let d = -2.6 - 0.4. Let u = d + 5. Let y = u + -2. Which is the third smallest value? (a) 4/5 (b) 3 (c) y
b
Suppose -w = -4 + 16. Let l be (-4)/(-25)*30/w. Which is the biggest value? (a) -0.03 (b) 2 (c) l
b
Let f(t) = t**3 - 7*t**2 - 30*t - 1. Let u be f(10). What is the smallest value in u, 0.1, 9/8?
u
Let z = -6.7 + 7. Let v = z - -0.7. Let p be 0 + ((-18)/21 - -1). What is the second smallest value in p, v, -5?
p
Suppose -2*p - 2*g = 0, -2*g + 12 = 2*p - 6*g. Let d = 9 - 14. Let y be (-24)/63*(-12)/(-16). What is the second biggest value in y, p, d?
y
Let l = 4 + -3.8. Let x = -86 - -259/3. Let f = -3 - -2.5. Which is the second smallest value? (a) f (b) l (c) x
b
Let x = 1.01 + -1.11. Which is the fourth smallest value? (a) x (b) 0 (c) -2 (d) -0.8
b
Let i = -5 - -5.2. Let o = -53/45 + 7/5. Let s = o - 35/36. Which is the biggest value? (a) s (b) -0.1 (c) i
c
Let l = 54.3 - 54. Let d = -333/3530 - 2/353. What is the biggest value in l, 2, d?
2
Let v = 145/6 + -65/3. Let z = 0.01 + 7.99. Let a = z - 9. What is the second biggest value in a, v, -3?
a
Let a be (-3 - 52/(-20))/(28/(-35)). Let y = 1/26 - 31/130. What is the second smallest value in a, 2, y?
a
Let m = -4.7 + -0.3. Let x = 5.1 + m. What is the smallest value in -2/3, x, -0.3?
-2/3
Let h = -1 - 2. Suppose 5*j + 16 = -9. Let i(x) = -x**3 - 6*x**2 - 5*x - 2. Let d be i(j). Which is the smallest value? (a) h (b) -5 (c) d
b
Let i = 1.2 - 1.3. What is the second biggest value in i, 0.5, 3?
0.5
Let f = 0.3 + 0. Let k = 52 + -20. Let m be -2 - 38*(-2)/k. Which is the third biggest value? (a) m (b) f (c) -0.2
c
Let a be (768/14 - -1)/1. Let h = 56 - a. What is the third smallest value in h, -2, 4?
4
Let u = 5 + 0. Let y = -45.2 - -23.1. Let r = 22 + y. Which is the biggest value? (a) u (b) r (c) 0
a
Let l(i) = i**2 + 5*i + 6. Let t be l(-6). Suppose -y - t = 3*y. What is the third smallest value in -2/9, 2, y?
2
Let t = 80/3 - 27. What is the third smallest value in -0.06, t, 1/2?
1/2
Let r = 9.1 + -9. Which is the second smallest value? (a) -3 (b) r (c) -1/7
c
Let g = -0.06 - 2.94. Let h = -0.19 + 2.99. Let u = h + g. Which is the smallest value? (a) -2 (b) u (c) 1/2
a
Suppose 5*m - 2*m = -2*l + 13, 4 = -l + 2*m. Let g = -9.8 + 10. What is the biggest value in l, 1/4, g?
l
Let b = 7.4 + -8. Let i = b + 0.2. Let f = -13 + 9. What is the second smallest value in f, i, 5?
i
Let k = 7 + -25/4. Let r = 2.6 - 3.3. Which is the second biggest value? (a) r (b) 4 (c) k
c
Let j = 0.5 + -0.8. Let h = -2.08 + -0.62. Let g = j + h. What is the second biggest value in -0.5, -5, g?
g
Suppose 4 = 2*n - 4*t, -3*n - t + 6 = 4*t. Let s be 2/(-2) + (-2 - -4). Let j = s + 3. Which is the third smallest value? (a) -1 (b) n (c) j
c
Let j = 0 + 0.3. Let s = 0.0428 - 0.5428. Which is the biggest value? (a) j (b) -0.2 (c) s
a
Suppose 3*a = -2*f + 12, 6*a - 4*a - 8 = -3*f. Suppose -o + 5 = 5*g, o + f*g - 1 = -3*g. What is the second biggest value in o, -2/9, 3?
-2/9
Let h = -126 - -126. What is the biggest value in h, -0.5, -0.4, 5?
5
Let h = -2.2 + 2. Let y be -2*(-1 - 5/(-4)). Let n = 2 + -2.3. What is the second smallest value in h, y, n?
n
Let l = -3.05 + 0.05. Let u = -3.3 + 2.3. Which is the smallest value? (a) -0.5 (b) u (c) l
c
Let w = -0.12 + 7.12. Let l = 6.6 - w. What is the second biggest value in 4, -4, l?
l
Let g(q) = -5*q - 17. Let v be g(-13). Let r be v/26 - 4/2. Which is the third smallest value? (a) 5 (b) 0.1 (c) r
a
Let i = 0.6 - 0.6. What is the third biggest value in -4, -0.4, i?
-4
Let k = -7/2 - -4. Let j = 0.22 + -0.62. What is the second smallest value in -1/2, k, j?
j
Let z = 29/3 + -9. Let i(m) = m - 4. Let w(y) = -y + 1. Let t(x) = i(x) + 2*w(x). Let u be t(-5). Which is the biggest value? (a) z (b) -3 (c) u
c
Let h = -1.44 - -4.39. Let k = h - -0.05. Let x be ((-28)/(-6) + -4)/(-3). What is the second smallest value in k, 0, x?
0
Let z = -0.27 - -0.3. Let d = z - 0.43. Which is the biggest value? (a) d (b) -4 (c) 1/3
c
Let o = -139.12 - -144. Let h = 0.06 - 0.18. Let g = h - o. Which is the smallest value? (a) 2/9 (b) g (c) -2/7
b
Let y be (-304)/6*(-3)/(-66). Let t = y - -18/11. Which is the smallest value? (a) -1/2 (b) -0.3 (c) t
c
Let k(d) = -d - 10. Let o(z) = -4*z - 39. Let n(c) = -9*k(c) + 2*o(c). Let a be n(-16). Let l = 1 + -1. What is the second smallest value in l, 2, a?
l
Let h = -17 - -21. Which is the smallest value? (a) 2 (b) h (c) -1/3
c
Let g = -0.24 - -0.34. Let l be (-1)/(-3) - (0 + 1). Which is the third biggest value? (a) g (b) l (c) -1
c
Let y(g) = g**2 - 9*g + 2. Let z be y(9). Let s = 5 - 1. Suppose -4 = z*t + s. What is the third biggest value in t, -0.1, 0.3?
t
Let f be (1971/60)/((-6)/(-4)). Let r = f - 22. Let w be (1 - (-2 - -1))/(-6). What is the third biggest value in w, r, 0.3?
w
Let l be 2/6 + (-410)/(-12). Let i = l - 36. Let m = -8/5 - -29/15. What is the second smallest value in i, -5, m?
i
Let k be 172*(0 + (-38)/28). Let b = k - -234. What is the second smallest value in b, 2/3, 2/7?
b
Let d be ((-6)/4)/((-6)/(-12)). Let p = 0.3 + -5.3. What is the third biggest value in p, d, -1?
p
Suppose -w + 1 = -2. What is the smallest value in 11, -4/7, w?
-4/7
Suppose -z - 2*j = z - 30, 0 = 5*j + 15. Suppose 5*x = -7 - z. Let w = -8 - x. Which is the second biggest value? (a) -2 (b) w (c) -1/2
a
Let g = 52 - 53. Which is the third smallest value? (a) -9 (b) -3 (c) -5 (d) g
b
Let t = -0.4 - -0.8. Which is the smallest value? (a) 0.06 (b) t (c) -2/11
c
Let z = 17.3 + -17. What is the biggest value in z, -3, 1/5?
z
Let j = -3 + 3.3. Let n = 2.8 - 2.9. What is the third biggest value in n, j, 2/19?
n
Let | {
"pile_set_name": "DM Mathematics"
} |
6 = 2*d, 3*o - 435 = 5*d - 1554. Suppose 5*i = 5*v - 6*v + 552, -4*i + 442 = v. Let f = d - i. Is 36 a factor of f?
False
Suppose 5752 = -3620*p + 3622*p. Is 7 a factor of p?
False
Let b(y) = -2*y**3 - 88*y**2 + 63*y + 156. Is b(-45) a multiple of 9?
False
Let a = 46 + -31. Let j be -108*(-3 + a/6). Suppose -8*h - j = -9*h. Does 18 divide h?
True
Suppose -219*c + 943767 = -76*c + 292402. Is c a multiple of 24?
False
Let k(c) be the third derivative of c**5/10 + 19*c**4/24 - 41*c**3/2 + 163*c**2. Is 6 a factor of k(9)?
True
Let q(n) = -3 - n**3 + 46*n + 6*n**2 - 12*n - 16*n - 11*n. Let u be q(7). Does 8 divide 300/(u/(-1)) + 13 + -9?
True
Suppose -6*z + 523 = -41. Let l = z - 69. Is 13 a factor of l?
False
Let g(m) = 10*m + 16. Let z(o) = -4*o + 32. Let i be z(7). Suppose 5*v + 10 = 4*p - 3*p, -5*p - i*v = -21. Does 8 divide g(p)?
False
Let v(s) = 25*s + 303. Let g = -127 + 118. Is 13 a factor of v(g)?
True
Let b be 9/(0 + -1 + 2). Let z = 57 - b. Suppose 22 + z = k. Is k a multiple of 7?
True
Let g(v) = 29*v + 9. Let x be g(-4). Let r = x - -257. Suppose 4*t - r = -2*t. Is 25 a factor of t?
True
Let u(g) = 3*g**3 - 7*g**2 + 14*g - 4. Let t be u(6). Suppose -5*x = -4*i - t, 4*x + 6*i - 388 = 2*i. Does 48 divide x?
True
Let r(o) = -o**3 - 24*o**2 - 28*o + 33. Let w be ((-1235)/52 + 6/8)*1. Is 4 a factor of r(w)?
True
Does 14 divide 2275/1*(34/60 - 1/6)?
True
Let k = -50 + 57. Suppose -k*i = -3*i - 900. Suppose -3*b - 128 - 27 = -2*x, -3*b = 3*x - i. Does 12 divide x?
False
Let j be ((-1)/2 + 0)/((-4)/40). Suppose 209 = 2*o + j*n, -14*o + 11*o = -4*n - 348. Does 14 divide o?
True
Let h = 522 - -34. Let k = 591 - h. Is 16 a factor of k?
False
Let x(d) = -137*d**3 - 2*d**2 - 7*d. Suppose 4*b + 13*j + 5 = 16*j, 3*b = 3*j - 3. Is x(b) a multiple of 38?
True
Let h = -10430 + 19805. Is h a multiple of 53?
False
Suppose -3378 = -4*j - 2*r, j + 217 = r + 1066. Is j a multiple of 10?
False
Let m(k) = -3*k**2 - 28*k + 165. Let a be m(-14). Suppose -3*z = 0, -3*z = 5*h - 4*z + 315. Let v = a - h. Is v a multiple of 32?
True
Does 10 divide (-4 + 10 + -4)*(-9 + (-24871)/(-22))?
False
Let v(n) = 36*n**2 - 23*n + 452. Is v(13) a multiple of 99?
True
Let f(o) = o - 17. Let s be f(0). Let y be s/(-8) - 3/24. Suppose -64 = -2*h - y*z, -4*h = -0*z - z - 143. Is h a multiple of 5?
True
Let y be (6 - 4)*(-8 + (2 - 5)). Let a(t) = t**2 + 23*t + 37. Let b be a(y). Suppose -6*x = -b*x + 1242. Does 12 divide x?
False
Let b(c) = -60167*c + 216. Is b(-1) a multiple of 51?
False
Suppose -3*f + 3*j = -13383, 69*j = -5*f + 66*j + 22337. Suppose f = 15*n - 2390. Does 5 divide n?
False
Suppose 2*i - 817 = -5*s, 16*s - 18*s - 6 = 0. Is i a multiple of 16?
True
Is 1043 + -2 + 14 + (-18 - 0) a multiple of 4?
False
Let n(y) = 8*y**2 - 28*y - 120. Is 2 a factor of n(-5)?
True
Let c be 2*((-309)/(-6) + (-2)/(-1)). Suppose -3*j = -2*j - c. Suppose j = -5*q - 5*z + 562, -3*z = -4*q + 343. Is q a multiple of 11?
True
Suppose -4*s - 3*j = -350, -3*s + 4*s + 5*j = 79. Suppose -5*v - 3*h = -1501 - s, 4*h + 295 = v. Is v a multiple of 21?
True
Let q(t) = t**3 - 22*t**2 - 21*t + 26. Let w be q(22). Let z = w - -536. Does 71 divide z?
False
Suppose 394*h - 2*h - 3087437 = 11685867. Is 24 a factor of h?
False
Suppose 13*w + 156*w + 39*w = 1283152. Is 5 a factor of w?
False
Suppose 5*y - 3*v - 26387 = 0, 4*v - 3093 = -y + 2189. Is y a multiple of 236?
False
Suppose -7745 = -6*y + 1855. Is 32 a factor of y?
True
Suppose 3*k - 1689 = -3*f, 4*k + 21*f - 23*f = 2252. Does 34 divide k?
False
Let s = 194 - 205. Does 10 divide s/(132/9) + 1926/8?
True
Let m(n) = 12*n**3 - n**2 - 4*n + 5. Suppose -7*v + 58 = -2*v - 2*q, -1 = -q. Suppose l = -z + 3, 5*z = 4*l - 6*l + v. Is m(z) a multiple of 8?
False
Suppose 0 = -11*v + v + 6400. Does 45 divide (v - 10)*18/21?
True
Let m(k) = -261*k - 748. Let v be m(-3). Let h be (-1)/(-3) + (-542)/6. Is (h/(-63))/(1/v) a multiple of 10?
True
Let o(a) = -2*a**2 - 48*a - 8. Let u be ((-315)/12)/((-3)/16*2). Let c = 50 - u. Is 38 a factor of o(c)?
True
Let k be (2 - -1) + (0 - 5). Is 15 a factor of (k - -3) + 123 + -7?
False
Suppose 4*i = -5*k + 293, -4*k - 2*i + i + 241 = 0. Let v = 76 - k. Suppose -4*z = -5*d - 625, -10*d + v*d + 325 = 2*z. Is z a multiple of 32?
False
Does 40 divide (-29358)/(-36)*(5 + 5)?
False
Let k be 2 - 0/(-4) - -3. Suppose 412 - 152 = k*t. Suppose 0 = -4*h + 2*s + t, -3*h + 4*s + 56 = h. Is 12 a factor of h?
True
Let v be (-3)/2*108/81. Is 8 a factor of 24164/49 - 1 - v/(-14)?
False
Is 15 a factor of 2*(-2)/(-24)*-2*301005/(-5)?
False
Let a(t) = -t**2 - 27*t + 170. Let b be a(-32). Is 31 a factor of (28/b)/((-34660)/(-3850) - 9)?
False
Let h be 1 - (36/30)/((-2)/(-6260)). Let f = -4 - 16. Is 12 a factor of 2/(-8)*-1 + h/f?
False
Suppose 29880 = -90*g + 100*g. Does 2 divide g?
True
Suppose -4*g - 82 = 18. Let u = 34 + g. Let m = 106 + u. Is m a multiple of 29?
False
Let w(g) = 27*g**2 + 400*g - 3237. Is 3 a factor of w(8)?
False
Let a be ((-104)/(-12))/13*-15. Is 7 a factor of (0 - 168)*(-4 - (7 + a))?
True
Let s(l) = -36*l**3 - 14*l**2 + 45*l + 24. Let k(j) = -9*j**3 - 3*j**2 + 11*j + 6. Let z(w) = 9*k(w) - 2*s(w). Is z(-3) a multiple of 9?
False
Suppose -t + 1 + 9 = 0. Suppose -5*s = 0, -7*y + s = -t*y + 78. Suppose 21*n + 280 = y*n. Is 8 a factor of n?
True
Let d be -14*13/((-273)/6). Suppose 2*z + o = 1636, -z - d*o + 626 = -199. Is 19 a factor of z?
True
Suppose -1537*g + i = -1542*g + 26584, -3*g + 15932 = -4*i. Is 12 a factor of g?
True
Suppose -166669 = -192*f + 2210867. Is f a multiple of 28?
False
Let y = -4953 + 17106. Is y a multiple of 28?
False
Let r(w) = -302*w + 21. Let i be r(-2). Suppose 10*m - 5*m + 5*g = i, 4*m - 2*g = 530. Is m a multiple of 2?
True
Let j(v) = v**3 + 7*v**2 - 20*v - 18. Let z be j(-9). Is 45 a factor of 810*1/8*4 - z?
True
Let y = -62 - -62. Let k be (2 - (0 - y))/((-3)/(-486)). Suppose -6*g = -k - 0. Is g a multiple of 6?
True
Let r(k) = 160*k**2 - k + 166. Is r(-9) a multiple of 71?
True
Suppose 0 = 9*i - 7113 - 22182. Is i a multiple of 33?
False
Let h(o) = 2 + 109 - 30 + 3*o. Does 18 divide h(-9)?
True
Let g = 442 - 435. Suppose 2*r - 7047 = -g*r. Is r a multiple of 29?
True
Suppose -67508 = -5*p - 4*u, -p + 257*u - 252*u + 13490 = 0. Is p a multiple of 60?
True
Let a(m) = m**3 - 15*m**2 - 12*m - 12. Let y be a(16). Suppose -17*u + 2 = -16*u. Suppose 0 = -s + u*s, -4*k + y = -s. Is k a multiple of 12?
False
Let c = -5783 + 6685. Is c a multiple of 8?
False
Suppose -m - 1 = 0, -5*m - 4165 = -5*o + 12935. Is 45 a factor of o?
False
Is (-1823605)/(-595) + (-5)/(170/(-4)) a multiple of 41?
False
Suppose -474 = -3*x - 3*s + 468, -2*s - 628 = -2*x. Suppose -3*d - 92 = -x. Suppose u - 36 = d. Does 22 divide u?
True
Let o be 3/(0 - -1) - -46. Let a = 119 - o. Is a a multiple of 10?
True
Suppose -4 = -2*o, 30 = -b - 4*b + 5*o. Let g be (-10)/15*1602/b - 3. Is 12 a factor of ((3 + g)/(-3))/(-1*1)?
False
Does 7 divide (-4)/6 + 16732/6?
False
Suppose -41*h = -362292 + 890 - 147654. Is h a multiple of 32?
True
Suppose 0 = -5*k - 7 - 3. Let g be (-69 - (2 - k))*-1. Suppose 4*w + 3*f - g - 27 = 0, 3*w + f = 80. Does 22 divide w?
False
Let t = 4 + 3. Let l be (-1)/t + (-43)/(-7) + -4. Suppose -5*r = -4*g + 191, -g + l*r + 243 = 4*g. Is 5 a factor of g?
False
Let s(y) = -8*y + 10. Let m be s(2). Is 14 a factor of m/15 + 12328/20?
True
Suppose r - 4290 = 5*y, 4084 = 2*r + 5*y - 4571. Does 17 divide r?
False
Suppose -39*k = 7*k - 57408. Suppose -3*x = -3*m + k, 352 = 4*m - 3*x - 1307. Does 11 divide m?
False
Suppose -l = 6, 5*f - 8*l - 69876 = -12*l. Is 233 a factor of f?
True
Let u = -289 + 9889. Is u a multiple of 200?
True
Is 56/(-126) + 118/(-18) + 730 a multiple of 54?
False
Let c(p) = -5*p**3 - p - 2. Let f be c(-1). Suppose -17 = -f*a - 125. Is (-1)/(a/6) - (-1076)/18 a multiple of 20?
True
Is (-119832)/(-36) - (4 - 40/12) a multiple of 26?
True
Let r = -30 - -24. Is 11 a factor of (-1 - -61)*-5*r/60?
False
Let h(x) = 450*x**3 + 2*x - 1. Let f be h(1). Suppose 91 = -9*n + f. Suppose -115 - n = -5*z. Is z a multiple of 17?
False
Let d = 48 - 48. Suppose d = -2*z + 7*z + 15. Is (-49)/((-12)/3 - z) a multiple of 7?
True
Let s(k) be the first derivative of 13*k**2/2 - 338*k + 5. Let m(j) = -6*j + 169. Let d(n) = 9*m | {
"pile_set_name": "DM Mathematics"
} |
4*w**3 + 203 to l + z*w + k*w**3 + m*w**2 and give k.
186
Express 5*m**3 - 124*m + 0*m**3 - 119*m - 7*m**2 - 117*m + 354*m as d*m**3 + c*m + o + z*m**2 and give c.
-6
Rearrange (-2*n**4 - 780946*n**2 + 12 - 3*n**3 + 390395*n**2 + 390449*n**2)*(0 + 0 - 2) to t*n**3 + d*n + z*n**4 + m + b*n**2 and give m.
-24
Express 21926*t**3 - 3*t**2 + 6 - 21925*t**3 + 5*t**2 - 63*t**4 as r*t**3 + k*t + q*t**2 + b*t**4 + m and give r.
1
Express -6 - 2*a - 64*a**2 + 135*a**3 + 110*a**2 + 7 - 46*a**2 as m*a + d*a**3 + z*a**2 + u and give m.
-2
Rearrange -5595*y**2 - 5591*y**2 + 16777*y**2 + 1 - 5589*y**2 - 2*y**3 - 2*y - 3*y**4 to the form p*y**2 + h*y**3 + c + w*y**4 + z*y and give z.
-2
Rearrange -119*a + 260*a - 145*a + 1 - 2*a**3 + 127*a**2 to the form c*a + d*a**2 + o*a**3 + q and give o.
-2
Rearrange -6479*t**4 + 0*t**2 + 9883*t**4 + 2*t - 2 + 3*t**2 - 5625*t**4 to the form c*t**3 + o*t**2 + b*t**4 + s + n*t and give o.
3
Rearrange 5 - 9*o - o**2 + 91*o**3 + 107*o**3 + 9*o + 86*o**3 to p*o**3 + s*o**2 + a*o + g and give g.
5
Express (-3*c - 5*c + 0*c)*(0 + 1 + 1) + (0 - 1 + 0)*(3*c + 2*c - 6*c) + (155 + 126 - 249)*(-2*c - c + 0*c) in the form s*c + m and give s.
-111
Rearrange -10 - 12 + 14*p**4 - 2*p - 241*p**3 - 11*p**2 + 239*p**3 - 15 + 34 to x + y*p + b*p**4 + f*p**2 + q*p**3 and give b.
14
Rearrange 2976*w + 3061*w - 1000*w - 1439*w + 1192*w to l*w + q and give l.
4790
Rearrange -823*c + 46*c**2 + 53*c - 48*c**2 + 11557*c to the form w*c**2 + q + v*c and give w.
-2
Rearrange -32*i**4 + 18 - 2*i**3 + 478*i + 192*i - 670*i to t*i**2 + y*i**3 + f*i**4 + w + b*i and give y.
-2
Rearrange 718*q**2 + 717*q**2 - 2*q**4 + 2*q**4 + 4*q - q**4 - 1433*q**2 + 4*q**3 to the form b*q + h*q**4 + m*q**3 + j*q**2 + a and give b.
4
Express -9*h + 9*h - 128985*h**2 - 32 + 128733*h**2 as k*h**2 + g + f*h and give g.
-32
Rearrange -68809 + w + 134059 - 67398 to g*w + m and give g.
1
Express -15*a**3 + 8*a - 9*a**2 + 7*a**3 + 6*a**3 - 7*a + 1 + 7*a**4 in the form l*a**2 + k + q*a**4 + o*a + g*a**3 and give l.
-9
Rearrange 5*x + 4*x - 2*x + (-1 + 0 - 3)*(-x + 3*x - 5*x) + x + x + x - x + x + x to i + f*x and give f.
23
Express (-4*w**2 + 0*w**2 + 5*w**2)*(-w + 2 - 2)*(31 - 4 - 2) + (-w**2 - 6*w**2 + 0*w**2)*(-2*w - w + 2*w) as q*w**3 + g*w**2 + k + c*w and give q.
-18
Express (0*d + 2*d - 4*d)*(13337*d + 1 + 13275*d - 26288*d) as j + q*d + l*d**2 and give l.
-648
Express 1 + 0*v**3 + 34903*v - 34899*v - 4*v**3 as c*v**2 + f*v**3 + o*v + a and give f.
-4
Rearrange -117*n**3 + 2*n**2 - 1 + n**4 - 91*n**3 + 7*n**2 + 211*n**3 - 3*n to the form r + f*n + q*n**2 + l*n**3 + s*n**4 and give l.
3
Express (-4 + 8 + 5)*((-4 + 6 - 4)*(-25*q + 0*q - 4*q) + 2*q + 4*q - q) in the form s + m*q and give m.
567
Express f + 11074*f**2 - 11278*f**2 - f in the form g*f + s + y*f**2 and give y.
-204
Rearrange (-36*p - p - 38*p)*(-4*p + 17*p + 6*p) to d*p + f*p**2 + j and give f.
-1425
Rearrange 268*s**4 + 283*s**4 - 111*s**4 - 90 + 2*s**4 + 90 + (-s + s + s**3)*(3*s - 5*s + s) to the form j + b*s**4 + a*s**2 + c*s**3 + i*s and give b.
441
Express -66*j - 7*j**2 - 41*j - 10*j + 41*j - 40*j in the form c*j + y + s*j**2 and give c.
-116
Express -33*l + 94*l - 31*l + 107 - 6 - 26*l in the form s + r*l and give s.
101
Express -3*s - s**3 - 7*s**4 + 1 + 7*s - 8*s + 14 - 3*s**2 + 6*s**4 in the form o*s**4 + b*s + r*s**2 + z*s**3 + f and give z.
-1
Rearrange (3 + 1 - 2)*(n + 145 - 145) + 3*n + 3*n - 4*n + (-319 + 146 + 63)*(0*n - n + 0*n) to y + w*n and give w.
114
Express 40*v + 4*v + 191*v - 30*v as t + b*v and give b.
205
Rearrange -20*s**2 - 5*s**2 - 6*s**2 + (2*s**2 + 3*s**2 - 4*s**2)*(1 - 6 + 1) to c*s**2 + y + b*s and give c.
-35
Rearrange -10781*v**2 + 28537*v**2 + 6224*v**2 to the form o*v**2 + l*v + m and give o.
23980
Express 1461*c + 246*c - 7 + 1306*c + 7 in the form j*c + t and give j.
3013
Rearrange -1910*i**2 + 6870*i**2 + 7587*i**2 - 2795*i**2 to the form j*i**2 + r + o*i and give j.
9752
Express -6*l**2 - 21*l - 48*l - 528*l**2 - 5 - 23*l + 90*l as w*l + h + q*l**2 and give w.
-2
Rearrange -14067*a - 2*a**3 - 61 + 59 + 14066*a + 613*a**4 to t*a**2 + q*a + n + z*a**3 + u*a**4 and give n.
-2
Rearrange (3*o**2 - 3*o**2 + 1 - 2*o**2)*(-2*o + o + 0*o)*(2 - 2 + 3)*(33 - 62 + 18) to the form h*o + q + c*o**2 + d*o**3 and give d.
-66
Rearrange (0*j + 4*j - 2*j)*(2*j + 2*j - 2*j) + 121*j - 19*j**2 - 121*j + (0 + 0 + 2*j)*(-2 + 2 - j) - 244*j + 244*j + 36*j**2 to b*j + l + h*j**2 and give h.
19
Rearrange (1 + 0 - 2)*(6369*i + 35537373 - 35537373) to a*i + j and give a.
-6369
Express -19*n**2 - 550*n**4 + 3*n + 1111*n**4 - n**3 - 556*n**4 - 2*n as f*n**2 + v + p*n**3 + o*n + h*n**4 and give h.
5
Express -288*w**4 - 12*w**2 + 13*w**2 + 12 + 926*w - 925*w in the form y + f*w**2 + d*w**4 + q*w**3 + x*w and give y.
12
Rearrange -78*v - 2 - 180*v + 2*v - 28*v + 28*v to the form n*v + p and give n.
-256
Rearrange -i**2 + 926 - 1620 - 1214 + 0*i + 0*i to w*i**2 + h + m*i and give w.
-1
Rearrange 232 - 187 - 2*b + 3*b - b + 7*b**2 to n*b**2 + r*b + z and give z.
45
Rearrange -86*i**2 + 122*i**2 - 41*i**2 + 798*i to x + y*i**2 + k*i and give y.
-5
Rearrange -20 - 15 + 13 - 8*y - 43 to z*y + w and give w.
-65
Rearrange (-o**2 + 637*o - 321*o + 10 - 321*o)*(-22 + 22 - 5*o) to a*o**2 + q + f*o + d*o**3 and give f.
-50
Express -6*m**3 + 20567*m**2 - 10284*m**2 - 3*m - 10281*m**2 - m**3 as c*m**3 + x*m**2 + d*m + k and give d.
-3
Express (3135*c + 2262*c + 1813*c)*(-3 + 0 + 4) in the form n*c + z and give n.
7210
Rearrange (14*l + 187*l + 990*l + 401*l + 3742*l)*(-2 + 2 - 5) to the form v*l + w and give v.
-26670
Express -13328*t**2 - 16628 + 16628 as n*t**2 + o + r*t and give n.
-13328
Express (44 + 52 - 8)*(337 + 231 - 86)*(-b + 3*b - 4*b) in the form d + t*b and give t.
-84832
Express -112*p**3 + 80*p**3 + 34*p**2 - 13*p**2 + 28*p**2 as r*p**2 + v*p + y + q*p**3 and give r.
49
Rearrange (-43*u + 67*u - 34*u)*(-1 - 1 + 0) + 0*u - u - 4*u - 31*u + 19*u - 57 + 14*u to j*u + s and give s.
-57
Rearrange -24 + 9127*c**2 + 281*c**3 + 22 - 283*c**3 to the form s*c + m*c**3 + u*c**2 + j and give m.
-2
Express 13*k**3 + 131*k + 8*k**3 - 129*k + (6*k + 0*k - 5*k)*(96*k - 96*k + 143*k**2) in the form y + d*k + h*k**2 + c*k**3 and give c.
164
Rearrange (61*j + 12*j**2 - 61*j)*(6 - 4 - 4)*(0 + 6 - 4 + (2 - 4 + 1)*(1 + 1 - 3) - 1 + 0 + 0 + 3 + 0 + 0 - 7 - 14 + 12) to p*j + s*j**2 + u and give s.
96
Rearrange (0*q + 7*q - 3*q)*(-630*q - 512*q - 1 + 1464*q) + 2*q**2 + 0 + 0 + (-3 + 4 - 4)*(3*q**2 - 3*q**2 + q**2) to m + o*q + a*q**2 and give o.
-4
Rearrange -7*v**2 + 0*v + 137 - 262 + 7*v + 6*v**2 - 3*v to x*v + z + s*v**2 and give s.
-1
Rearrange -3795*m**2 + 5*m - 3623*m**2 - 3 + 7602*m**2 - 7*m - m**3 to the form w*m + s + j*m**3 + i*m**2 and give i.
184
Rearrange (1 + 3 + 0)*(0 + 3 - 2)*(1 - 3*k - 1)*(1034 - 1613 + 1022) to n + m*k and give m.
-5316
Express 310 - 312 + 245*x - 1361*x as l*x + s and give s.
-2
Rearrange -f**3 + 197 - 4*f - 389 + 194 - 2*f**4 - 2*f**2 to a*f**4 + m*f**3 + l*f**2 + p + u*f and give m.
-1
Express -193*l**3 + 3*l**3 - 15*l**3 + (0*l**2 + 5*l**2 - l**2)*(27*l - 38*l + 32*l) in the form m*l**2 + w + v*l**3 + b*l and give v.
-121
Express (-w**2 + 3*w - 3*w)*(-217 - 494 + 244) + 10*w**2 - 8*w**2 - 14*w**2 as m*w + j + h*w**2 and give h.
455
Rearrange 20668*q**2 + 51*q**3 - 54*q**3 - 20667*q**2 + 14*q to t*q**3 + u*q + f + a*q**2 and give t.
-3
Express 2*g - 8*g + 18*g + (1 + 2 - 2)*(-g - 2 + 2) + 47*g - 94*g + 51*g in the form f*g + o and give f.
15
Express -742*b - 2534*b - 10*b**2 - 3551*b + 1946*b + 8*b**2 as i + r*b**2 + q*b and give r.
-2
Rearrange 14083 - 14083 + 153*b + 532*b to the form d*b + q and give d.
685
Rearrange -12579*l + 4*l**2 + 247 + 12579*l + (-4*l - 3*l + 5*l)*(-3*l + 0*l + l) - 3 + 3 + l**2 to a*l + t*l**2 + w and give w.
247
Express 15*p + 15*p - 66*p - 11*p**4 + 8*p - 2*p**2 + 6 + 18*p in the form j*p**2 + f*p**4 + b*p + h + d*p**3 and give h.
6
Rearrange (2*k - 3*k + 8*k)*(190*k + 63*k + 160*k) to the form b*k + c*k**2 + t and give b.
0
Express -4*l + 2*l + l - 60*l - 12*l + 14*l + (-2*l + 4*l - l)*(9 - 2 - 1) + 3*l - 3*l + l as f*l + k and give k.
0
Express 12*l + 3581338*l**3 + 0 + 3 - 3581339*l**3 - 3*l**2 + 2*l**4 as v + c*l**4 + y*l**3 + k*l**2 + n*l and give | {
"pile_set_name": "DM Mathematics"
} |
the third derivative of -1030*m**2*p**3 - 45*m**2*p**2 + 10*m**2*p + 6*m*p**3 - 14*m*p**2 + 72*m - 234*p**3 - 3*p**2 wrt p?
-6180*m**2 + 36*m - 1404
What is the second derivative of -65028852*j**2 + 12204435*j + 1?
-130057704
What is the first derivative of -250697679*f + 388791392?
-250697679
Find the third derivative of -287884272*l**3 + 840883*l**2 - l + 151 wrt l.
-1727305632
Find the first derivative of 6748738*q**3*v + 53*q**3 + 20327*q**2 wrt v.
6748738*q**3
What is the second derivative of -16*g**3*t + g**2*t**2 - 1186380*g**2 + 2*g*t**2 + 16*g*t - 1370*g - 422*t wrt g?
-96*g*t + 2*t**2 - 2372760
What is the first derivative of 3043837*m**4 + 7*m*w**2 - 152455573*w**2 wrt m?
12175348*m**3 + 7*w**2
Find the first derivative of 1699574*l*r**2 - 2*l*r + 14*l - 1577*r**2 + 24095 wrt l.
1699574*r**2 - 2*r + 14
What is the derivative of -5*h**4 + 219155*h**2 - 3*h + 17744982 wrt h?
-20*h**3 + 438310*h - 3
Differentiate 749515641*u + 365310099 with respect to u.
749515641
What is the first derivative of 2*t**4 + 2090*t**2 + 2878*t + 288371301?
8*t**3 + 4180*t + 2878
Find the third derivative of -294589291*j**3 - 2*j**2 + 148107*j + 170.
-1767535746
What is the derivative of 20008790*c**2*q**2 - 109*c**2 + 13688*c + 3 wrt q?
40017580*c**2*q
Differentiate -5132373*t**2 + 6575133 wrt t.
-10264746*t
Find the first derivative of 664339198*c*i - 408284028*c - 2*i wrt i.
664339198*c - 2
Differentiate -5*l**3*x + 12*l**3 - 208*l**2 + 166*l + 3486906*x**4 - 1 with respect to x.
-5*l**3 + 13947624*x**3
What is the third derivative of -l**6*n - 25312*l**5*n*w + l**2*n*w + 2*l**2*w + 1576*l + 188*w wrt l?
-120*l**3*n - 1518720*l**2*n*w
What is the second derivative of 21*b**3*x**2 - 321*b**3*x + 23*b**3 - 2*b**2*x - 7480*x**2 - 1044*x wrt x?
42*b**3 - 14960
Differentiate 62221588*f - 53557416.
62221588
What is the derivative of -241582067*n + 119321551?
-241582067
Find the first derivative of -36517096*n**4 - 83750189 wrt n.
-146068384*n**3
What is the second derivative of -34*b**4*x + 19893*b**2*x - b*x + b - 4452208*x + 2 wrt b?
-408*b**2*x + 39786*x
What is the first derivative of -6804135*p - 40320287?
-6804135
What is the derivative of -60303158*u**2 - 17626107?
-120606316*u
Find the second derivative of 10598*g*s**4 - 128*g*s**3 - 49*g + s**2 + 51010*s wrt s.
127176*g*s**2 - 768*g*s + 2
What is the third derivative of -58326075*s**6 - 52689061*s**2 + 2 wrt s?
-6999129000*s**3
Find the second derivative of 10431843*c**2 - 13430*c + 107.
20863686
What is the third derivative of -2*t**5 - 2*t**4 + 5405516*t**3 + 442*t**2 - 2626*t wrt t?
-120*t**2 - 48*t + 32433096
Find the second derivative of -3404*g**4 - 14995*g**2 - 5285666*g - 7 wrt g.
-40848*g**2 - 29990
What is the second derivative of 198*j**2*v**2 - 3*j**2*v + 391123*j*v**4 + 106854257*v wrt v?
396*j**2 + 4693476*j*v**2
Find the third derivative of 95*c**5 + 11*c**4 - 1296*c**3 + 1895929*c**2.
5700*c**2 + 264*c - 7776
Differentiate 365*p**3 - 8*p**2 + 5128*p - 127321545 with respect to p.
1095*p**2 - 16*p + 5128
Find the second derivative of 58401527*c*u**2 + 2439965*c*u wrt u.
116803054*c
What is the third derivative of 5*b**4 - 9751701*b**3 - 11*b**2 + 2634822*b?
120*b - 58510206
What is the derivative of 3567*c*l**3 + 12*c + 1277*l**3 - 219*l - 1 wrt c?
3567*l**3 + 12
Find the second derivative of -d**3*s**2 - 891*d**3*s + 306*d**3 + 2*d*s**2 - d*s + 10*d + 1806*s**2 - 8*s - 2 wrt d.
-6*d*s**2 - 5346*d*s + 1836*d
What is the second derivative of 42399314*l**4 + 99277*l?
508791768*l**2
What is the second derivative of -79651203*y**3 - 576*y + 163347?
-477907218*y
What is the second derivative of 4687*a*n**2 - 6*a*n + 774*n**2 + 184*n + 260 wrt n?
9374*a + 1548
Find the second derivative of 8582*n**2*q*v - 50*n**2*v - 390*n**2 - 33*n*v - n + q*v + 8*q + 1029*v wrt n.
17164*q*v - 100*v - 780
Find the third derivative of -12708061*j**3 + 7962*j**2 + j + 152 wrt j.
-76248366
Differentiate o**4 - 15769444*o**3 - 8526610 with respect to o.
4*o**3 - 47308332*o**2
What is the second derivative of -26*h**4 - 504*h**3 - 4*h**2 + 1407*h - 106?
-312*h**2 - 3024*h - 8
What is the derivative of 390432518*m - 875368774?
390432518
What is the first derivative of 180155456*y**4 - 41828154?
720621824*y**3
Find the third derivative of 351889*f**3*t**3 + 3*f**3*t**2 - 18*f**3*t - 253*f**2*t**2 - 110*f*t**3 + 29 wrt f.
2111334*t**3 + 18*t**2 - 108*t
Differentiate 34*k*o + 6084606*k + 39198*o wrt o.
34*k + 39198
What is the third derivative of -23342876*c**5 + 1737*c**2 - 3*c - 69?
-1400572560*c**2
Differentiate 88766011*t + 314603168 wrt t.
88766011
Find the first derivative of -5525935*m*p - 76*p + 31360 wrt m.
-5525935*p
Find the third derivative of -130353069*i**3 + 7163*i**2 - 1352*i - 4 wrt i.
-782118414
What is the third derivative of -2*w**5 + 3*w**4 + 6660808*w**3 + w**2 - 6*w - 3215582?
-120*w**2 + 72*w + 39964848
Find the third derivative of -177*l**5 + 28*l**4 + 19*l**3 + 2544*l**2 + 970.
-10620*l**2 + 672*l + 114
Find the second derivative of -7*v**3 - 128702*v**2 + 12139120*v.
-42*v - 257404
Find the first derivative of -24*a*p + 187375431*a - 4687797*p wrt p.
-24*a - 4687797
What is the second derivative of -8553451*q**5 - 3747390*q wrt q?
-171069020*q**3
Find the second derivative of 56*t**2*y**3 - 11639*t**2*y + 2*t**2 - 2*t*y**3 - 2*t*y**2 - 5*t*y - y**2 - 5964*y + 13 wrt t.
112*y**3 - 23278*y + 4
Find the third derivative of -33836038*r**4 - 170842*r**2 + 7*r.
-812064912*r
What is the third derivative of 5855642*z**3 + 2051568*z**2?
35133852
Differentiate -3143854*d**2 - d + 2047285.
-6287708*d - 1
What is the second derivative of 74*n**3*w + 621*n**3 + 4*n**2*w - 2*n**2 + n*w + 5*n + 86*w + 2092 wrt n?
444*n*w + 3726*n + 8*w - 4
Find the third derivative of -8627137*s**3 + 11*s**2 - s + 489.
-51762822
What is the derivative of n**2*r + 2140482*n**2 - 1810*n*r**2 + 214*n*r - 8*n - r**2 wrt r?
n**2 - 3620*n*r + 214*n - 2*r
What is the derivative of -5290219*c**4 + c**3 + 2*c - 260388621 wrt c?
-21160876*c**3 + 3*c**2 + 2
What is the derivative of 182128881*c**4 - 572432006?
728515524*c**3
What is the first derivative of 452*i**3 - 23282*i**2 - 2*i - 541579714?
1356*i**2 - 46564*i - 2
Differentiate 99*z**3 - 4052703*z - 25877781 with respect to z.
297*z**2 - 4052703
What is the first derivative of -4253*n**2*u**2 - 2*n**2*u + 6240983*n**2 + 7*u**2 wrt u?
-8506*n**2*u - 2*n**2 + 14*u
Differentiate 15919831*m + 2691736 wrt m.
15919831
Find the third derivative of 84165590*l**3 + 23*l**2 + 94418.
504993540
What is the third derivative of -10776752*a**3 - 2*a**2 + 24*a + 34593 wrt a?
-64660512
Differentiate 100582*i**3 + 275*i**2 + 46485043 with respect to i.
301746*i**2 + 550*i
Find the third derivative of 8724*b**5 + 4108*b**4 + 68844934*b**2 wrt b.
523440*b**2 + 98592*b
What is the second derivative of -3*t*x**5 + 2*t*x**2 - 1258*t + 22875853*x**2 + 2827*x wrt x?
-60*t*x**3 + 4*t + 45751706
What is the third derivative of 3015558*r**3 + 256*r**2 - 85*r - 5?
18093348
What is the third derivative of 99*b**3*q*t - 3184591*b**3 + 28*b**2 - 2*b*q*t + 59*b*t - 68277*q*t wrt b?
594*q*t - 19107546
Find the third derivative of 204811827*i**3*k*n**2 + 3*i**2*k*n**2 - 3*i**2*k*n - 11*i*k*n - i*n**2 - 7544*n**2 wrt i.
1228870962*k*n**2
Find the third derivative of 1425*w**5 + 288*w**4 + 6*w**3 - 5*w**2 + 1050*w + 48.
85500*w**2 + 6912*w + 36
What is the derivative of -74813*i**2*k*o - 14*i**2*k + 327*i**2 + 10*i*o + k*o - k + 2*o - 113 wrt o?
-74813*i**2*k + 10*i + k + 2
Find the third derivative of -5715*h**3*n**3*r + 59*h**3*n**3 + 1030*h**2*n**3*r + 450*h**2 + 2*h*n**3 + n**2*r wrt h.
-34290*n**3*r + 354*n**3
What is the derivative of 255252897*r**4 - 94928425?
1021011588*r**3
Find the third derivative of -1092*r**5 - 344556*r**3 + 977323645*r**2.
-65520*r**2 - 2067336
Find the second derivative of 129455699*o**3 + 643873*o - 197.
776734194*o
Find the second derivative of -6712561*m**3 - 1786*m + 3589.
-40275366*m
Find the first derivative of 1201*v**2*x + 76*v**2 + 19803*v - 4168*x - 2 wrt x.
1201*v**2 - 4168
What is the second derivative of -3621935*t**3 + 17743526*t wrt t?
-21731610*t
Differentiate 4048461*p + 69718670 with respect to p.
4048461
What is the first derivative of -363234873*k**2 - 36 | {
"pile_set_name": "DM Mathematics"
} |
, -2
Factor g**2 + 137672*g + 275340.
(g + 2)*(g + 137670)
Let 8*w**5 + 156*w**4 + 580*w**3 - 2108*w**2 - 11580*w - 5200 = 0. What is w?
-13, -5, -1/2, 4
Solve 3*m**2 - 372210*m + 11545023675 = 0.
62035
Factor -2*o**4/7 - 2708*o**3/7 + 16320*o**2/7.
-2*o**2*(o - 6)*(o + 1360)/7
Find m, given that -4*m**4/9 - 2134*m**3/9 - 826*m**2 - 7424*m/9 - 2120/9 = 0.
-530, -2, -1, -1/2
Suppose -52*f**4 + 76688*f**3 - 28227036*f**2 - 34839504*f - 6535728 = 0. What is f?
-1, -3/13, 738
Factor -d**2/3 + 1553050*d/3 - 602991075625/3.
-(d - 776525)**2/3
Find y such that -4*y**2/9 - 96124*y/3 + 576760/9 = 0.
-72095, 2
Let 2*s**3/5 - 28842*s**2/5 + 104112288*s/5 - 934675848/5 = 0. Calculate s.
9, 7206
Determine p so that 3*p**5/7 + 783*p**4/7 + 46392*p**3/7 - 2303592*p**2/7 - 215596368*p/7 - 421619664/7 = 0.
-106, -2, 59
Let -3*w**5/5 - 72*w**4/5 + 57*w**3/5 + 2586*w**2/5 - 6984*w/5 + 4416/5 = 0. What is w?
-23, -8, 1, 2, 4
Find w, given that 1029*w**5/4 + 4851*w**4/4 - 162183*w**3 - 2155560*w**2 + 209088*w + 71554560 = 0.
-88/7, 5, 28
Factor u**3/2 + 1631*u**2/2 + 10510*u - 11326.
(u - 1)*(u + 14)*(u + 1618)/2
What is n in -8*n**3/5 + 20536*n**2/5 - 4106*n + 5132/5 = 0?
1/2, 2566
Factor 3*k**2 - 73302*k + 73299.
3*(k - 24433)*(k - 1)
Solve -55444203*h**2 - 257940*h - 300 = 0.
-10/4299
Factor 125*n**3 + 118800*n**2 - 7153920*n + 104509440.
5*(n + 1008)*(5*n - 144)**2
Factor -3*v**3 - 183*v**2 + 276*v + 5580.
-3*(v - 6)*(v + 5)*(v + 62)
Let 5*m**5 + 16595*m**4 + 165575*m**3 + 413625*m**2 = 0. Calculate m.
-3309, -5, 0
Factor -2*g**2/13 + 285332*g/13 - 285330/13.
-2*(g - 142665)*(g - 1)/13
Suppose -2*b**4/7 + 292*b**3/21 + 4610*b**2/21 - 209096*b/21 - 23400/7 = 0. What is b?
-27, -1/3, 26, 50
Factor -s**2 - 1563334*s - 611003298889.
-(s + 781667)**2
Determine j so that 1280*j**2 + 388320*j + 29451645 = 0.
-2427/16
Determine n, given that -8*n**2/3 - 8810*n/3 - 734 = 0.
-1101, -1/4
Factor -2*y**2/3 + 565060*y.
-2*y*(y - 847590)/3
Find p such that -2*p**2/5 - 128832*p/5 - 2074710528/5 = 0.
-32208
Factor 3*j**2/5 + 192*j/5 - 603/5.
3*(j - 3)*(j + 67)/5
Determine c so that 4*c**2/5 + 7624*c/5 + 1524 = 0.
-1905, -1
Find t, given that 3*t**3/5 + 72*t**2 - 4323*t/5 = 0.
-131, 0, 11
Suppose 64*y**3 - 844*y**2 - 5436*y - 6984 = 0. Calculate y.
-3, -2, 291/16
Factor -3*k**2 + 5856*k + 11724.
-3*(k - 1954)*(k + 2)
Factor 1550883*y**2/4 - 34512*y + 768.
3*(719*y - 32)**2/4
Let j**5/3 + 8*j**4/3 - 113*j**3 - 2138*j**2/3 - 3232*j/3 - 480 = 0. What is j?
-20, -4, -1, 18
Factor -2*o**3/3 - 4*o**2 + 10*o - 16/3.
-2*(o - 1)**2*(o + 8)/3
Factor r**3/3 + 231*r**2 + 15725*r - 28358125/3.
(r - 157)*(r + 425)**2/3
Factor y**3 - 1153*y**2 - 4*y + 4612.
(y - 1153)*(y - 2)*(y + 2)
Factor 2*i**3/7 + 228552*i**2/7 + 914184*i/7 + 914176/7.
2*(i + 2)**2*(i + 114272)/7
Solve -2*t**5/3 + 710*t**4/3 - 54212*t**3/3 - 527852*t**2 - 1866942*t - 1357398 = 0.
-19, -3, -1, 189
Factor 4*p**2 - 64*p - 228.
4*(p - 19)*(p + 3)
Determine s so that 4*s**3 + 6312*s**2 + 6308*s = 0.
-1577, -1, 0
Let 4*w**2 - 3509260*w - 3509264 = 0. What is w?
-1, 877316
Determine n, given that 4*n**5 - 260*n**4/3 + 308*n**3/3 + 7244*n**2 - 33888*n - 12096 = 0.
-9, -1/3, 7, 12
Factor -4*t**4 + 1328*t**3 + 33600*t**2 + 205056*t.
-4*t*(t - 356)*(t + 12)**2
Factor 4*u**3 - 16156*u**2.
4*u**2*(u - 4039)
Factor -o**4 - 122*o**3 - 3841*o**2 - 7320*o - 3600.
-(o + 1)**2*(o + 60)**2
Factor -2*b**3/3 + 23062*b**2/3 - 230470*b/3 + 576050/3.
-2*(b - 11521)*(b - 5)**2/3
Factor 2*t**2 - 56852*t + 113696.
2*(t - 28424)*(t - 2)
Factor 3*r**2 + 201*r - 31302.
3*(r - 74)*(r + 141)
Factor -p**4 + 92*p**3 + 412*p**2 - 2720*p + 3072.
-(p - 96)*(p - 2)**2*(p + 8)
What is l in -3*l**3 + 3462*l**2 + 888384*l + 51856896 = 0?
-112, 1378
Factor a**2/3 + 112*a/3 - 1363.
(a - 29)*(a + 141)/3
Determine x so that 3*x**2/7 + 2320824*x/7 + 448852003248/7 = 0.
-386804
Find g, given that -5*g**4 + 685*g**3 + 5065*g**2 - 3225*g - 54000 = 0.
-5, 3, 144
Suppose 1473702050*c**2/3 - 4668940*c/3 + 3698/3 = 0. What is c?
43/27145
Factor -u**2/2 - 245*u - 3381/2.
-(u + 7)*(u + 483)/2
Factor q**3/6 - 287*q**2/3 - 26449*q/6 - 25297/3.
(q - 617)*(q + 2)*(q + 41)/6
Determine h, given that -2*h**3 + 354*h**2 + 2592*h - 2944 = 0.
-8, 1, 184
Factor u**3 - 228*u**2 + 5225*u + 5454.
(u - 202)*(u - 27)*(u + 1)
Suppose o**3/5 + 106008*o**2/5 + 2809530021*o/5 + 5618636018/5 = 0. What is o?
-53003, -2
Find i such that 5*i**4 - 25155*i**3 + 351350*i**2 - 802080*i - 3210880 = 0.
-2, 8, 5017
Factor -2*j**2/11 + 314*j/11 - 5244/11.
-2*(j - 138)*(j - 19)/11
Factor -3*o**3 + 1899*o**2 + 13422*o + 11520.
-3*(o - 640)*(o + 1)*(o + 6)
Factor -5*k**4/4 - 1175*k**3/4 + 26220*k**2.
-5*k**2*(k - 69)*(k + 304)/4
Factor 2*l**3 - 44358*l**2.
2*l**2*(l - 22179)
Find l such that 2*l**4 - 1136*l**3 + 11224*l**2 - 35776*l + 35712 = 0.
2, 4, 558
What is d in 5*d**5 - 1332*d**4 - 2168*d**3 + 6400*d**2 + 8592*d - 4288 = 0?
-2, 2/5, 2, 268
Factor -j**3/3 - 424*j**2/3 + 4331*j/3 - 1302.
-(j - 9)*(j - 1)*(j + 434)/3
Factor 3*f**2/2 + 40343*f.
f*(3*f + 80686)/2
Find b, given that 4*b**5 + 1872*b**4 - 3756*b**3 + 1880*b**2 = 0.
-470, 0, 1
What is o in 43558*o**3 + 87117*o**2 + 43560*o + 1 = 0?
-1, -1/43558
Suppose -b**2/4 + 15815*b - 250114225 = 0. Calculate b.
31630
Find i such that -16*i**3 + 668*i**2/3 - 2296*i/3 - 196/3 = 0.
-1/12, 7
Solve 7921*q**4/2 - 1013977*q**3 + 129823233*q**2/2 - 1458304*q + 8192 = 0 for q.
1/89, 128
Factor j**4 - 14469*j**3 + 86790*j**2 - 173564*j + 115704.
(j - 14463)*(j - 2)**3
Solve u**4/2 - 27*u**3/2 + 111*u**2 - 170*u - 900 = 0.
-2, 9, 10
Factor 15*n**2 - 3387130*n - 1129045.
5*(n - 225809)*(3*n + 1)
Determine w, given that -w**2/6 + 49750*w/3 - 1237531250/3 = 0.
49750
Factor 3*d**2 + 66678*d - 133368.
3*(d - 2)*(d + 22228)
Let -37*k**3 + 19279*k**2 - 20282*k + 1040 = 0. What is k?
2/37, 1, 520
Let p**3/3 - 46*p**2/3 + 15*p = 0. Calculate p.
0, 1, 45
Solve -2*a**2 - 103016*a + 412096 = 0.
-51512, 4
Factor -20*p**2 - 10135*p/3 - 2530/3.
-5*(3*p + 506)*(4*p + 1)/3
Find l, given that -35*l**3 + 7785*l**2 + 4475*l - 3345 = 0.
-1, 3/7, 223
Factor -3*h**3/4 + 411*h**2/2 - 813*h/4 - 819/2.
-3*(h - 273)*(h - 2)*(h + 1)/4
Factor -2*h**2/3 + 65036*h - 390192.
-2*(h - 97548)*(h - 6)/3
Let -7*z**4/2 + 15*z**3/2 + 22*z**2 - 66*z + 40 = 0. What is z?
-20/7, 1, 2
Determine a so that -3*a**2 + 189552*a - 2994163392 = 0.
31592
Factor -2*p**3/9 - 128*p**2/3 - 2048*p - 262144/9.
-2*(p + 32)**2*(p + 128)/9
Solve -2*i**2/19 - 543256*i/19 = 0.
-271628, 0
Factor -l**2/9 - 3295676*l/9 - 2715370074244/9.
-(l + 1647838)**2/9
Find o such that -o**2 - 17900*o - 80102500 = 0.
-8950
Factor -28*l**2 + 34*l.
-2*l*(14*l - 17)
Solve 3*w**3/4 - 13479*w**2/2 - 80895*w/4 - 26967/2 = 0.
-2, -1, 8989
Factor 5*a**3 - 4785*a**2 + 14320*a - 9540.
5*(a - 954)*(a - 2)*(a - 1)
Suppose -10*r**5/9 + 3164*r**4/9 - 244522*r**3/9 - 908176*r**2/9 - 1070080*r/9 - 409600/9 = 0. What is r?
-8/5, -1, 160
Find o such that 4*o**5 + 2148*o**4 + 2140*o**3 - 2148*o**2 - 2144*o = 0.
-536, -1, 0, 1
Find f, given that -62*f**5/13 - 120*f**4/13 + 34*f**3 - 276*f**2/13 + 16*f/13 = 0.
-4, 0, 2/31, 1
Determine r, given that -59643*r**3/2 - 366318*r**2 - 102120*r - 7200 = 0.
-12, -20/141
Find p such that 9*p**4/8 - 5235*p**3/8 - 27573*p**2/2 + 18963*p/2 = 0.
-21, 0, 2/3, 602
Factor -4*p**5 - 92*p**4 - 792*p**3 - 3232*p**2 - 6272*p - 4608.
-4*(p + 2)*(p + 4)**3*(p + 9)
Suppose b**3/5 + 204*b**2 + 4052*b/5 - 12192/5 = 0. What is b?
-1016, -6, 2
Solve -4*u**4 + 11376*u**3 + 56948*u**2 + 91152*u + 45584 = 0 for u.
-2, -1, 2849
Factor 4*q**2 - 89432*q - 178880.
4*(q - 22360)*(q + 2)
Let 4*i**5 - 3972*i**4 - 35984*i**3 - 88176*i**2 - 128*i + 128256 = 0. What is i?
-4, -2, 1, 1002
Factor -4*g**2/9 + 2708*g/9 - 236488/9.
-4*(g - 574)*(g - 103)/9
Determine d so that -2*d**4/11 - 65504*d**3/11 + 2*d**2/11 + 65504*d/11 = 0.
-32752, -1, 0, 1
Factor g**2 + 57146*g + 114288.
(g + 2)*(g + 57144)
Let 2*m**5/7 - 282*m**4/7 - 2374*m**3/7 - 1518*m**2/7 + 596*m = 0. Calculate m.
-7, -2, 0, 1, 149
Factor -z**3/2 - 21*z**2/2 + 23617*z/2 - 23595/2.
-(z - 143)*(z - 1)*(z + 165)/2
Let 2*q**2 - 3934*q - 23676 = 0. Calculate q.
-6, 1973
Let -2*o**2/7 + 10372*o/7 - 20688 = 0. Calculate o.
14, 5172
Determine l so that -339*l**5/7 + 3048*l**4/7 + 1044*l**3/7 - 8466* | {
"pile_set_name": "DM Mathematics"
} |
889124254?
5
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5
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2
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1
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2
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7
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9
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1
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1
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3
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5
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9
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4
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4
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6
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6
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1
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1
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3
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2
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6
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8
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1
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1
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4
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4
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0
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3
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7
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8
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4
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6
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7
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7
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0
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0
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1
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3
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4
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1
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2
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2
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4
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5
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0
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4
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5
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8
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9
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2
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6
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0
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6
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3
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3
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3
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3
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9
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8
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1
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3
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3
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0
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6
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9
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3
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9
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5
What is the millions digit of 7238249306?
8
What is the tens digit of 2763585443?
4
What is the tens digit of 1132725121?
2
What is the thousands digit of 792554055?
4
What is the ten thousands digit of 248137760?
3
What is the units digit of 3706023?
3
What is the units digit of 118683304?
4
What is the millions digit of 41382332?
1
What is the millions digit of 29990139?
9
What is the ten thousands digit of 19720280?
2
What is the units digit of 32047047?
7
What is the ten thousands digit of 1142302275?
0
What is the thousands digit of 154402477?
2
What is the units digit of 4373031827?
7
What is the thousands digit of 3616340992?
0
What is the hundred thousands digit of 281136634?
1
What is the hundreds digit of 158143962?
9
What is the ten millions digit of 455783721?
5
What is the hundreds digit of 28146092?
0
What is the hundreds digit of 201319464?
4
What is the millions digit of 30224140?
0
What is the millions digit of 6741637999?
1
What is the thousands digit of 157755803?
5
What is the millions digit of 3154152534?
4
What is the tens digit of 1823148900?
0
What is the hundred thousands digit of 4707776739?
7
What is the tens digit of 106476573?
7
What is the tens digit of 416873?
7
What is the ten thousands digit of 1808782?
0
What is the ten millions digit of 1392904523?
9
What is the millions digit of 131084188?
1
What is the hundred millions digit of 453961081?
4
What is the units digit of 486207747?
7
What is the hundred thousands digit of 164128448?
1
What is the hundred millions digit of 530286009?
5
What is the billions digit of 1245663083?
1
What is the tens digit of 21838661?
6
What is the millions digit of 73505941?
3
What is the thousands digit of 1174790224?
0
What is the hundred thousands digit of 68340015?
3
What is the hundred millions digit of 1271893410?
2
What is the millions digit of 4007327177?
7
What is the ten thousands digit of 86508206?
0
What is the units digit of 68764604?
4
What is the hundred millions digit of 125027247?
1
What is the hundreds digit of 43477344?
3
What is the ten thousands digit of 220873889?
7
What is the hundred thousands digit of 6484867?
4
What is the ten millions digit of 15731141?
1
What is the thousands digit of 383817252?
7
What is the tens digit of 90737536?
3
What is the thousands digit of 3034887?
4
What is the hundred millions digit of 7736676401?
7
What is the hundreds digit of 19340976?
9
What is the tens digit of 38818369?
6
What is the hundred thousands digit of 627751620?
7
What is the millions digit of 934617664?
4
What is the ten millions digit of 30447218?
3
What is the ten thousands digit of 112107234?
0
What is the hundred thousands digit of 572237477?
2
What is the hundred thousands digit of 248162301?
1
What is the units digit of 640445107?
7
What is the hundred millions digit of 713998643?
7
What is the thousands digit of 58976156?
6
What is the ten millions digit of 27998800?
2
What is the millions digit of 169158412?
9
What is the hundreds digit of 2233427225?
2
What is the ten thousands digit of 4524370506?
7
What is the thousands digit of 870337805?
7
What is the hundreds digit of 2096610620?
6
What is the ten thousands digit of 59230746?
3
What is the ten millions digit of 2264842607?
6
What is the hundreds digit of 1295785447?
4
What is the thousands digit of 75276587?
6
What is the tens digit of 1341273592?
9
What is the hundreds digit of 475789428?
4
What is the ten thousands digit of 153133721?
3
What is the ten millions digit of 845317266?
4
What is the millions digit of 72961095?
2
What is the thousands digit of 63545259?
5
What is the ten millions digit of 51922956?
5
What is the hundreds digit of 139721267?
2
What is the units digit of 13759887?
7
What is the ten thousands digit of 24652512?
5
What is the thousands digit of 1726809397?
9
What is the units digit of 228542330?
0
What is the hundred thousands digit of 120456519?
4
What is the hundred millions digit of 1597605427?
5
What is the ten thousands digit of 1750765996?
6
What is the hundreds digit of 735105427?
4
What is the millions digit of 63383428?
3
What is the units digit of 55253634?
4
What is the ten millions digit of 10478706?
1
What is the billions digit of 5306246865?
5
What is the hundred thousands digit of 144613493?
6
What is the hundreds digit of 488943407?
4
What is the thousands digit of 46712167?
2
What is the ten thousands digit of 31982570?
8
What is the hundred thousands digit of 131260207?
2
What is the millions digit of 18237807?
8
What is the billions digit of 1637679492?
1
What is the hundreds digit of 29242347?
3
What is the tens digit of 283860776?
7
What is the millions digit of 5914088198?
4
What is the ten thousands digit of 50102538?
0
What is the ten millions digit of 67259693?
6
What is the thousands digit of 72728859?
8
What is the thousands digit of 2373833218?
3
What is the ten millions digit of 1058585732?
5
What is the tens digit of 400091699?
9
What is the ten thousands digit of 48100133?
0
What is the millions digit of 908460110?
8
What is the hundred millions digit of 125773957?
1
What is the thousands digit of 130724014?
4
What is the hundred millions digit of 356460980?
3
What is the units digit o | {
"pile_set_name": "DM Mathematics"
} |
is the common denominator of 251/(-36) - 6*(-24)/18 and -99/134?
2412
Calculate the common denominator of -38/9 and (4/5)/((-19)/((-13775)/990)).
99
Suppose 2*o - 684 = 4*b, -4*o = o + 10. What is the common denominator of -20/21 and 3 - b/(-120) - 1/3?
210
Let l = 35 + -15. Suppose 5*h - 3*m + 110 = l, 3*m - 15 = 0. Calculate the least common multiple of 10 and 10/75 + (-73)/h.
10
Calculate the smallest common multiple of (-33*20/(-8))/((-4)/(-8)) and 70.
2310
Suppose 48 + 427 = 5*v - 3*h, -83 = -v + 3*h. What is the smallest common multiple of v and 140?
980
Let p = -958229/56 + 17112. Calculate the common denominator of -9/280 and p.
280
Let k = -31/120 + -227/1560. Find the common denominator of k and -67/72.
936
Let y(f) = f**2 - 8*f + 7. Let h be y(7). Let k = 73/5 - 797/45. Calculate the common denominator of (-12 + h)*(-4)/5 and k.
45
Find the common denominator of -3/50 and 116*(-13)/624*5.
300
Let x = -129031/180 + 3596/5. What is the common denominator of -91/144 and x?
144
Let w(q) = -q**2 - q + 5. Let z be w(0). Suppose x + 11 - 31 = 2*p, -x + z*p + 26 = 0. Calculate the lowest common multiple of x and 4.
16
Let a = -18 - -20. Let d be (-1305)/((a/8)/1). Let t = 72997/14 + d. Calculate the common denominator of t and 43/22.
154
Let k = -123 + 131. Suppose -5*f = -4*f - 6. Calculate the least common multiple of f and k.
24
Suppose -3*i - 166 = 107. What is the common denominator of -65/4 and 25/(-14) + 26/i?
28
Let j = 992 - 4987/5. Let w = -1308466/1343 + 11531215597/11869434. Let v = w + 3/982. Calculate the common denominator of v and j.
45
Let k = 1155492/10494583 + 3/20299. Calculate the common denominator of k and 113/10.
5170
Let z = -2056 + 4035/2. Suppose -3*j = -2*v + j, 3*j = 4*v - 20. What is the common denominator of z and (-12)/v - (-20)/14?
14
Suppose 0*a = 2*a + 3*g - 40, -g = -5*a + 66. Calculate the lowest common multiple of a and 56.
56
Let g = -422796 - -368678181/872. What is the common denominator of g and -13/16?
1744
What is the common denominator of -45/308 and ((-17)/((-28288)/(-39)))/((-3)/(-62))?
4928
Let k(i) = i**2 + 3*i + 1. Suppose -84 = 648*y - 660*y. Calculate the least common multiple of y and k(-5).
77
Let l = 133 + -48. Suppose 5*p - l = -0*p. What is the lowest common multiple of 21*((-1)/(-3))/(0 + 1) and p?
119
Suppose q - 36 + 13 = 0. Let n = q - 24. Calculate the common denominator of -40/11 and n/(-4) - (-173)/12.
33
Let x = 5 + -3. What is the lowest common multiple of (-3 + 1 - (1 + -4))*2 and x?
2
Suppose -t = 4*y - 10, -t - 4 = -3*y - 28. What is the smallest common multiple of t and 51?
306
Calculate the least common multiple of 70 and (-42)/7*(-9)/6.
630
What is the common denominator of (-102)/(-56) + 3/36 + -2 and -91/30?
210
Suppose 5*b - 12 = 8*b. Let s = 0 - b. Suppose 6*l + 4*i - 38 = l, 0 = -l + 2*i + 2. What is the lowest common multiple of s and l?
12
Let v be (118/10)/((-6)/3919). Suppose 184*u = 193*u + 69354. Let w = v - u. What is the common denominator of 119/20 and w?
60
Let s = -3 - 9. Let j be 30/(-12)*s/10. Suppose 3*x - j - 3 = 0. Calculate the least common multiple of x and 6.
6
Let j = -150/59 - -4411/1062. What is the common denominator of 271/(-126) - (-12 - (-162)/14) and j?
18
Let z be (-44)/(-10) - (-6)/(-15). Let k be 4 + (5 - 3) + -2. Suppose -k*c + 48 = z*o, -60 = -5*c - 0*c - o. What is the smallest common multiple of c and 8?
24
Find the common denominator of (-3 + 237/80)/(1/12) and -91/30.
60
Let d = -333 + 139. Suppose 36*v - 46*v = 30. Calculate the common denominator of d/(-12) - 9/v and 13/6.
6
Let y = -8167/36 + 226. What is the common denominator of y and -53/33?
396
Let g(b) = b**3 + b**2 - 7*b - 15. Calculate the smallest common multiple of g(5) and 30.
300
Let a = 57319 - 31181613/544. What is the common denominator of a and 20/7?
3808
Let d = -3 + 7. Suppose -31 = -q - 0*q. Let x = -17 + q. Calculate the lowest common multiple of x and d.
28
Let d = 28 + -24. Suppose d*z - 70 = -0*z - 5*r, 0 = -3*r + 6. What is the least common multiple of 21 and z?
105
Suppose 52*v = -19*v + 355. Suppose 5*k - 13 = -3*z, -k - k + 4*z = 0. What is the lowest common multiple of k and v?
10
Let g = 7 - 3. Suppose 0 = 5*r - 18 - 2. Suppose -5*p + 2*c - 5*c = -44, -2*c + 36 = r*p. Calculate the smallest common multiple of g and p.
20
Let j(c) = c**3 - 20*c**2 - 21*c + 2. Let w be j(21). Suppose 0 = -3*g + w*g + 39. Calculate the smallest common multiple of g and 6.
78
Calculate the lowest common multiple of 36 and 15 + (104/(-39) - (-1)/(-3)).
36
Let f be ((-3)/(-6))/(3/6). Let o be (f/2)/(12/120). Suppose 0*k - 90 = -o*k. What is the smallest common multiple of k and 2?
18
Suppose 3*o = 6*o - 18. Let i = 5979 - 5971. Calculate the least common multiple of i and o.
24
Let j(o) = o + 4. Suppose 8*q + 4*q - 96 = 0. What is the least common multiple of q and j(5)?
72
Calculate the smallest common multiple of 20 and (-22)/(-4) + 78/156.
60
Calculate the common denominator of -41/22 and 7/(-1) + 551/(-232).
88
Let t = -4 - -18. Let m be 8/28 + 4/(-14). What is the smallest common multiple of (-3 - m) + 4 - 7*-3 and t?
154
Let b = -2858 - -57079/20. Calculate the common denominator of b and 59/40.
40
Let v = 7653 - 1308653/171. Calculate the common denominator of 54/133 and v.
1197
Let z = 554 - 32. Calculate the least common multiple of z and 12.
1044
What is the least common multiple of -180*(22/4 + -4 + -2) and 26?
1170
Let f = 996 - 840. What is the lowest common multiple of 108 and f?
1404
Suppose -4*l = y - 16, y - 4*l + 24 = 3*y. Suppose -y*i = -i - 42. Calculate the smallest common multiple of 3 and i.
6
Let z = 687/7 + -97. Calculate the common denominator of z and 2 - -3*(-21)/(-99).
77
Suppose 5*u = -12*u + 714. Calculate the least common multiple of u and 14.
42
Suppose 11 - 35 = -4*j. Suppose -5*z + j = -3*z. Let k = -362 - -371. What is the lowest common multiple of k and z?
9
Let h be (2 - (-3 + 0)) + 0. Suppose 125 = -h*b + 5*x, 0*x = -5*b - 4*x - 143. Find the common denominator of -51/5 and b/(-18) + (-73)/8.
40
Let m(w) = -170*w - 4. Let b be m(-2). Find the common denominator of -53/3 and 3/(b/908) - 2/(-8).
42
Let k = 163004 + -101225528/621. What is the common denominator of k and 46/15?
3105
What is the lowest common multiple of ((-11)/(-33))/(2/(-6))*-2 and 16?
16
Let a = 2393/16 - 144. Find the common denominator of -17/14 and a.
112
Suppose -18 = -3*s - 2*s - k, -5*s = -2*k - 9. Suppose s*q - 26 = -5. What is the smallest common multiple of q and 3?
21
Calculate the common denominator of 15/((-75)/(-122))*3/24 and -53/15.
60
What is the common denominator of 89/195 and (21/45)/(15/40)?
585
Let u = 8261 - 99245/12. Find the common denominator of 5/2656 and u.
7968
Let u(r) = -r**3 + 16*r**2 - 10*r - 3. Let c be u(15). Suppose 0*g - 2*g = c. Find the common denominator of 139/12 and (0 - 58/g)*-1.
36
Let v(y) = 38 - y - 3 + 3*y. Calculate the lowest common multiple of (-2 + -6)/(-4) + 1 and v(-15).
15
Let f(l) be the second derivative of 0 + 8*l**2 + 1/12*l**4 - 2*l - 1/6*l**3. What is the smallest common multiple of f(0) and 18?
144
Find the common denominator of 85/6 and ((-9)/2268*6)/(2/(-81)).
84
Suppose -2*u + 4 = -2*o, -5*u - o + 0*o + 28 = 0. What is the common denominator of -93/4 and 452/40 + (-1)/u?
20
What is the smallest common multiple of 81 and 28/8*(-432)/(-42)?
324
Let i be ((-30)/(-20))/(3/2). Let v(g) = 17*g - 3. What is the lowest common multiple of v(i) and (-12)/((30/(-9))/5)?
126
Let f = -12 - -10. Let q(v) = -36*v**3 + v**2 + 2*v. Let r be q(f). Find the common denominator of 818/r - 4/(-18) and -21/4.
16
Let q be (-2)/3 + 4589/39. Suppose -23 = b - 4*c - c, 0 = -b + 3*c - 13. What is the common denominator of -48 and 637/q + b/6?
9
Let d be (-4)/2*(-1 + -1). Let r(p) = -3*p - 2 - p**3 + 6*p**2 + 2. What is the lowest common multiple of 22 and r(d)?
220
Let r = 453559/18 - 25206. Calculate the common denominator of r and 44/75.
450
Suppose 5*u = 0, 3*k - 4*u - 93 = -2*u. Calculate the lowest common multiple of 1 and k.
31
Suppose -3*s = -8*s - 35. Let t = s - -8. What is the lowest common multiple of 4/(-16)*(-132)/3 and t?
11
Let z = -24 - -71/2. What is the common denominator of z and 7/(-4)*(-18)/(-1)?
2
Find the | {
"pile_set_name": "DM Mathematics"
} |
*6 + 191*a**5*j**3 + 19*a**2*j + 8*a*j**3 + 2 wrt a.
-1440*a**3 + 11460*a**2*j**3
What is the third derivative of 268*c*h**4 - 5*c*h**2 - c*h + h**6 - 3*h**2 - 2 wrt h?
6432*c*h + 120*h**3
What is the first derivative of 2*h**3 - 250*h**2 - 183 wrt h?
6*h**2 - 500*h
Find the second derivative of -f*n**2 - f*n*r**3 + 13*f*r**3 + 8*n**2*r**3 + 10*n**2*r wrt r.
-6*f*n*r + 78*f*r + 48*n**2*r
Find the second derivative of -27*a*i**2 + 629*a*i + 5*i**2 wrt i.
-54*a + 10
What is the second derivative of -32*i**2*k*t**2 - 2*i**2*k*t - 4*i**2*k - 9*i*t**3 - 20*i*t + 2*k*t wrt t?
-64*i**2*k - 54*i*t
Find the second derivative of 62*h**2*i**2 - 2*h**2*i*z - 8*h**2*i + 67*h**2 + 2*h*i**2*z + z wrt i.
124*h**2 + 4*h*z
Find the third derivative of -4654*o*z**3 + 2*o*z - 1089*z**2 wrt z.
-27924*o
What is the derivative of -13124*y - 15269 wrt y?
-13124
Find the second derivative of 9*j**5*u - 2*j**5 + 4*j**4 + 3*j*u + 48*j - 2*u wrt j.
180*j**3*u - 40*j**3 + 48*j**2
Find the third derivative of 861*d**3 + 11*d**2 + 49*d wrt d.
5166
Differentiate 43*d*f**3*o + d*f - 2504*d*o + 3*f**3*o with respect to f.
129*d*f**2*o + d + 9*f**2*o
Differentiate -a*d**2 + 12610*a + 2198*d**2 - 2*d wrt d.
-2*a*d + 4396*d - 2
Differentiate 359*z**4 + 2*z + 612.
1436*z**3 + 2
Differentiate 422*b*v + 24*v - 11 with respect to b.
422*v
What is the derivative of -251*m*s**4 + 125*m - 2*s**2 + 1 wrt s?
-1004*m*s**3 - 4*s
What is the second derivative of -7*i**5*j - 8*i**3*j**3 + i**3 - 65*i + j**3 wrt i?
-140*i**3*j - 48*i*j**3 + 6*i
What is the third derivative of -631*a**3 - 370*a**2 wrt a?
-3786
Find the third derivative of 5144*h**5 + 1038*h**2 wrt h.
308640*h**2
Find the third derivative of -4*o*u**4 + o*u**3 - o*u**2 + o*u + 3*u**4 + 3*u**3 - 4082 wrt u.
-96*o*u + 6*o + 72*u + 18
What is the third derivative of 2*h*j**5*t + h*j**2*t + h*t + 6*j**6 - 4*j**3*t - 8*j**2 wrt j?
120*h*j**2*t + 720*j**3 - 24*t
Find the first derivative of 404*d**4 - 548 wrt d.
1616*d**3
What is the second derivative of -2*m**2*z + 7*m**2 + m*z + 284*m wrt m?
-4*z + 14
What is the derivative of -3*g*h + 7*g + 141*h - 1 wrt g?
-3*h + 7
What is the third derivative of 2*z**4 + 15*z**3 - 574*z**2 wrt z?
48*z + 90
Differentiate -3404*y**2 + 2829 with respect to y.
-6808*y
Find the third derivative of -5307*v**3*w**2 + v**2*w**2 - 6*v**2 + 173*v wrt v.
-31842*w**2
Find the third derivative of -10669*j**3 + 12*j**2 + 4*j + 26.
-64014
Find the third derivative of 2*a**3*d**2 + 74*a**3 + 5*a**2*d**2 + 6*a**2 + d**2 wrt a.
12*d**2 + 444
Find the third derivative of 5*b*p**4*q + b*p**2*q + 64*p**3*q + 45*p**2*q + 2*p*q + 6*q wrt p.
120*b*p*q + 384*q
What is the third derivative of 5*k**4 + 4*k**3 - 357*k**2 wrt k?
120*k + 24
Find the second derivative of 411*m**4 - 208*m wrt m.
4932*m**2
What is the third derivative of 17*y**6 - 1095*y**2 wrt y?
2040*y**3
What is the third derivative of 1037*u*w**3 + 2*u*w**2 + 3*u*w + 147*w**2 wrt w?
6222*u
What is the derivative of -200*m**2 + 317 wrt m?
-400*m
What is the third derivative of f**5*l + 332*f**3*l**2 - 4*f**2*l - 4*f*l**2 - 1 wrt f?
60*f**2*l + 1992*l**2
What is the derivative of -286*f*r*u - 43*f*r - 12*r**2*u + 82*r**2 wrt u?
-286*f*r - 12*r**2
What is the second derivative of -2417*l**2 - 883*l - 1 wrt l?
-4834
Differentiate -12*i*m**2*v - 22*i*v**3 - 4*m**2*v**2 + 3*m**2*v - 5*v**3 wrt i.
-12*m**2*v - 22*v**3
Find the second derivative of 13005*h**2 - 271*h + 32.
26010
Find the second derivative of -10767*m**2 - 12*m + 14 wrt m.
-21534
Differentiate 6*c**2 + 16*c*g**2 + 56*g**2 with respect to c.
12*c + 16*g**2
What is the third derivative of 26*g**2*p**3 + 2*g**2*p**2 - 9*g**2*p - g*p**3*x - 3*g*p*x**3 + g*p*x + p**3*x**3 wrt p?
156*g**2 - 6*g*x + 6*x**3
What is the first derivative of -2445*j**2*y - y - 25 wrt j?
-4890*j*y
What is the derivative of 13*k**4*z - 2*k**3 + 13*k*z + 1000*z wrt k?
52*k**3*z - 6*k**2 + 13*z
What is the third derivative of -1657*x**4 - 3*x**2 - 1639 wrt x?
-39768*x
Differentiate 4536*g*j + 10158*j wrt g.
4536*j
What is the second derivative of 204*v**4 - 237*v?
2448*v**2
Find the second derivative of 305*g**5 - 3602*g.
6100*g**3
What is the third derivative of 2*r**6 - 16*r**5 + 227*r**2 - 4 wrt r?
240*r**3 - 960*r**2
Find the first derivative of -15*t**3 + 2*t**2 + 16*t + 499 wrt t.
-45*t**2 + 4*t + 16
Find the first derivative of -2*q**3 + 42*q - 359 wrt q.
-6*q**2 + 42
What is the first derivative of -11*f**3*q**3 + 474*f**3*q**2 + 2*q**3 - 3017 wrt f?
-33*f**2*q**3 + 1422*f**2*q**2
What is the second derivative of -14*b**3 - b**2 + 217*b + 2 wrt b?
-84*b - 2
What is the third derivative of 235*j**6*v**2 + 43*j**2*v**2 + 2*j**2*v wrt j?
28200*j**3*v**2
What is the third derivative of 99*l**6 - 262*l**2?
11880*l**3
Differentiate -555*c*q**2 - 4*c*q - 31*q**2 - 5 wrt c.
-555*q**2 - 4*q
Find the third derivative of 455*b**6 + b**4 + 2*b**2 + 20*b.
54600*b**3 + 24*b
What is the second derivative of 2*m*z**2 + 17*m*z - 47*z**2 - 3*z wrt z?
4*m - 94
Find the third derivative of 92*g**6*m**2 + 2*g**6 - 7*g**2 - g*m**2 + 27*g wrt g.
11040*g**3*m**2 + 240*g**3
What is the first derivative of -5*h**3 + 3*h**2 - 662 wrt h?
-15*h**2 + 6*h
What is the second derivative of -b**2*f**3*w - b**2*f**2*w - 31*b**2*w**2 + 11*b*f**2 - 4*b*f*w**2 - f**3 wrt b?
-2*f**3*w - 2*f**2*w - 62*w**2
What is the third derivative of -983*b**3*d - 121*b**2 + 3*d wrt b?
-5898*d
Differentiate -3*k**3*s + 1672*k**3 - 92*s wrt s.
-3*k**3 - 92
Differentiate -b**4 - 52*b**3 + 328.
-4*b**3 - 156*b**2
What is the third derivative of 138*h**6 - 2*h**5 + 15*h**4 + 2056*h**2?
16560*h**3 - 120*h**2 + 360*h
What is the third derivative of -2701*a**2*q**3 - 2*a**2*q**2 - a*q**3 - 15*a*q**2 + 20*a*q wrt q?
-16206*a**2 - 6*a
Find the third derivative of -2*d**3*h**3*m**3 + 407*d**3*h**3 - 2*d**3*h**2*m + 6*d**3*m**3 + 17*d**2*h**2*m**2 wrt h.
-12*d**3*m**3 + 2442*d**3
What is the second derivative of -9*t**4 + 135*t**2 + 1215*t wrt t?
-108*t**2 + 270
What is the third derivative of a**5 - 153*a**3 - a**2 + 1343*a wrt a?
60*a**2 - 918
What is the second derivative of 411*n**4 - 6*n**2*x**2 - 2*n*x**2 - 8*n - 152*x wrt n?
4932*n**2 - 12*x**2
Find the third derivative of -2*j**4*y - 3*j**4 - 283*j**3*l + 2*j**2*l + j**2 - 2*j*y + 77*y wrt j.
-48*j*y - 72*j - 1698*l
What is the second derivative of -4846*x**5 - 2*x**4 + 4160*x?
-96920*x**3 - 24*x**2
What is the first derivative of -323*s + 119 wrt s?
-323
Find the first derivative of -26*y - 345.
-26
What is the third derivative of 950*d**3 - 25*d**2 + 7?
5700
Find the second derivative of 2*g**3*h**2*m + 3*g**3*h*m**3 + 56*g**3*h*m**2 - g**3*h*m - 2*g*h**2*m**3 + 12*h**3 wrt h.
4*g**3*m - 4*g*m**3 + 72*h
Find the first derivative of -115*a**2 + 181 wrt a.
-230*a
What is the third derivative of -5*y**5 + 3*y**4 + 56*y**3 - 2880*y**2 + 2*y?
-300*y**2 + 72*y + 336
What is the second derivative of -4*g**3*k*z + 2873*g**3*z**2 + 3*g**3*z + 11*g**2*k**2*z - 2*k**2*z**2 wrt z?
5746*g**3 - 4*k**2
What is the third derivative of 53*r**5*t + r**3*t - 2*r**2 + 497*r*t + 2*t - 1 wrt r?
3180*r**2*t + 6*t
Find the first derivative of -66*h**3 + 214 wrt h.
-198*h**2
Find the second derivative of 10*g**4*y + g**2*y**2 + g*y**2 + 69*g*y wrt g.
120*g**2*y + 2*y**2
Find the third derivative of -4*g**2*n**4 - 97*g**2*n - 41*g*n**5 - 2*g*n**2 wrt n.
-96*g**2*n - 2460*g*n**2
Find the second derivative of -48*c**4 - 23*c**3*y**2 - c*y**2 + c*y + c - 6*y**2 wrt c.
-576*c**2 - 138*c*y**2
Find the third derivative of -2*g*o**4*y - 2*g*o**3*y + 171*g*o - 101*o**3*y**2 - o**2 - o*y**2 wrt o.
-48*g*o*y - 12*g*y - 606*y**2
What is the second derivative of -73*h**5 - 162*h wrt h?
-1460*h**3
Find the second derivative of -a**3*j + 2*a**3*w**2 - 476*a**2*j*w**2 - a*g*j*w**2 - 2*a*g*j*w + 163*g*j wrt w.
4*a**3 - 952*a**2*j - 2*a*g*j
Find the third derivative of 4*a**4 + 20*a**3*y + a**2*y - 17*y - 2 wrt a.
96*a + 120*y
Find the first derivative of 5*r**4 - 6*r**2 - 67 wrt r.
20*r**3 - 12*r
Find the third derivative of 227*x**3 - 142*x**2 + 1.
1362
Find the second derivative of -1722*m**2 - 1045*m wrt m.
-3444
What is the derivative of 3*f**2*l**2*z - 32*f**2*l**2 - f**2*z + 3*f**2 + 85*l**2*z wrt z?
3*f**2*l**2 - f**2 + 85*l**2
What is the second derivativ | {
"pile_set_name": "DM Mathematics"
} |
e (1 + 1)*3/(6/253)?
False
Let x(m) = -11*m**3 + m**2 - m - 1. Let y be x(2). Let i = 125 + y. Is 18 a factor of i?
False
Is 3 a factor of (-621)/(-18)*(-4)/(-6)?
False
Let x(d) = d**2 + 4*d**2 + d**2 - 4*d**2. Is x(-3) a multiple of 9?
True
Suppose 84 = -13*j + 19*j. Does 3 divide j?
False
Suppose 2*a - 36 = -a. Suppose -u = -0*u - a. Is 6 a factor of u?
True
Let n(f) be the first derivative of 20*f**2 + 15*f + 2. Let a(s) = 10*s + 4. Let v(c) = 15*a(c) - 4*n(c). Does 10 divide v(-1)?
True
Suppose -1 = y - 4. Suppose 2*i + y*i - 20 = 0. Does 2 divide i?
True
Let h(b) = 3*b - 10. Let o be h(4). Suppose 0 = -3*i - o*i + 110. Is 11 a factor of i?
True
Let o(n) = -n**2 + 11*n - 11*n. Let h be o(2). Is (-20)/(-3)*(-6)/h a multiple of 5?
True
Suppose 0 = n - 30 - 10. Is n a multiple of 8?
True
Let s(l) = -4*l - 7 - 1 + 0. Let c(r) = -r**3 - 3*r**2 + 3*r. Let f be c(-3). Is 14 a factor of s(f)?
True
Let q = 6 + -17. Let f = 30 + q. Is f a multiple of 19?
True
Let j be (-10 - -4)*2/(-6). Suppose 5*x + 22 = -m + 2*m, -j*m + 29 = -5*x. Does 5 divide m?
False
Let h = -77 + 195. Is 31 a factor of h?
False
Let h(b) = -12*b - 6. Does 9 divide h(-2)?
True
Suppose -133 = -4*m + j, m - 2*m + 35 = -2*j. Suppose -a + 9 = u, a - 5*u = -0*a + m. Does 13 divide a?
True
Let p(u) = 20*u**2 + 8*u**2 + 8 - 23*u**2 + 0 + 8*u. Is p(-4) a multiple of 14?
True
Let f = 50 + 5. Does 26 divide f?
False
Suppose 44*x - 60 = 43*x. Is 14 a factor of x?
False
Let g(u) = -112*u - 4 - 2 + 2 + 3. Let v be g(-1). Suppose 0*n + 45 = 2*n + t, -5*n + v = t. Does 11 divide n?
True
Suppose -r + 2*r = 17. Let o = r + -10. Is o even?
False
Suppose -2*n + 6*n + 4 = 0. Let b(h) = -49*h - 1. Is 9 a factor of b(n)?
False
Suppose q = -1 - 0, 4*s - 647 = -q. Is 25 a factor of s?
False
Let i(t) be the first derivative of -3*t**4 - 2*t**3/3 + t + 8. Does 5 divide i(-1)?
False
Let x = -10 - -25. Is x a multiple of 8?
False
Is 12 a factor of -1 - -3 - 0 - -10?
True
Does 2 divide ((-6)/(-2))/((-3)/(-7))?
False
Suppose j = -3*j + 180. Suppose 0 = -2*m + m + j. Is m a multiple of 15?
True
Let b(x) = 7*x - 4. Let h(d) = -13*d + 9. Suppose -4*l + 4 - 16 = 0. Let y(v) = l*h(v) - 5*b(v). Is y(9) a multiple of 15?
False
Let s(r) = -r**3 - r**2 + 6*r + 8. Is s(-5) a multiple of 26?
True
Suppose -p - 93 = -5*x + 128, -5*x + 3*p = -213. Does 10 divide x?
False
Let w(t) = 2*t**2 + 2*t - 10. Let j(y) = -y**2 - y + 5. Let n(f) = -9*j(f) - 4*w(f). Is n(-4) a multiple of 3?
False
Does 14 divide (239 + 0)*(0 + 1)?
False
Suppose -4*u = r - 11, -u + 9 = r - 2*r. Let d be (-26)/(-10) - u/(-10). Let i(l) = l**3 - l**2 - 3*l + 4. Is i(d) a multiple of 13?
True
Let j(a) = a - 1. Let g(w) = -4*w - 7. Let s(n) = g(n) + 2*j(n). Is s(-9) a multiple of 9?
True
Suppose 4*i - 2*i = 106. Let w = -31 + i. Does 11 divide w?
True
Suppose -2*w = -8, 0*w - 26 = -2*r - 5*w. Suppose 15 = 4*c + r. Suppose -1 - 3 = 4*b, c*l - 82 = -5*b. Is l a multiple of 13?
False
Suppose 0 = -2*m - 5*d + 17, 0 = 5*m + 2*d + d - 90. Does 8 divide m?
False
Suppose -5*j = -29 + 89. Let b be 1 + (1 + 0)*31. Let q = b + j. Is q a multiple of 10?
True
Does 23 divide (11/(-22))/(2/(-188)) + -1?
True
Let n(w) = -w**2 - 8*w - 9. Suppose -5*x - 3 = -2*r - 0*x, r + 4*x = -18. Is 3 a factor of n(r)?
True
Let i = 43 + -2. Let g = 4 + -2. Does 7 divide i/g - 1/2?
False
Suppose 0*u = 3*u + 4*c - 68, 0 = -5*u - 2*c + 104. Suppose 4*k - u = -0*k. Suppose k*i - 34 = -2*l, i - 17 = -l + 4*i. Is 15 a factor of l?
False
Does 23 divide 0 + -3 - (-1 - 71)?
True
Suppose -4*g + 3*q = -10, 5*q = -3*g - 0*q - 7. Let n(h) = 8*h - 1. Is 3 a factor of n(g)?
False
Let v(k) = k**3 - 7*k**2 + 4. Let r be v(7). Suppose -r*f + 11 = -29. Is f a multiple of 10?
True
Suppose -m + d + 4 = 0, 3*m - 5*d - 5 = m. Does 3 divide m?
False
Let t(o) = -o**3 - 9*o**2 + 11*o + 13. Let z be t(-10). Let d(y) = 1 + 0*y + 3 + z*y. Is d(3) a multiple of 13?
True
Suppose 2*v - 20 = -5*b - 3*v, 0 = -5*b + v + 20. Let u(g) = 2*g**2 - 2*g + 4. Is u(b) a multiple of 14?
True
Let x = 97 + 151. Is x a multiple of 31?
True
Let k be 3*(4/(-6) - -2). Suppose 8 + 12 = 4*o, 4 = -b + k*o. Is 8 a factor of b?
True
Let h(i) = 4*i**2 + 3*i + 3. Let d be 15/(-5) + (-1 - -2). Is h(d) a multiple of 13?
True
Let d(j) = -2*j**2 + 5*j + 1. Let r(g) = -g**2 + 2*g. Let f(u) = -3*d(u) + 5*r(u). Is 12 a factor of f(-5)?
False
Let k = 188 + -56. Is k a multiple of 33?
True
Let o = 671 + -308. Is o a multiple of 31?
False
Suppose 43 = 2*o - 35. Is 13 a factor of o?
True
Let t = 45 + -27. Is t a multiple of 18?
True
Let l(r) = r**3 + 1 + 13*r - 2*r**3 + 7 + 12*r**2. Does 8 divide l(13)?
True
Let r = 503 - 337. Is r a multiple of 31?
False
Let n = 5 - 5. Suppose 2*g = -n*g + 6. Suppose 45 = g*w - 33. Is 13 a factor of w?
True
Let a(p) = p - 20. Let i(h) = 2*h - 20. Let f(t) = -3*a(t) + 2*i(t). Does 4 divide f(-11)?
False
Suppose -8*v - 168 = -2448. Is v a multiple of 22?
False
Is 3 a factor of (2/(-7))/((-2)/42)?
True
Let d(q) = 5*q - 3 - 4 - 2 - 2. Is d(4) a multiple of 5?
False
Let i(f) = -2*f**3 + 0*f**2 + 3*f**3 - 6*f**2 + 6*f - 4 + 8. Is i(6) a multiple of 18?
False
Let h = 5 - 1. Suppose -h*r = 3*y - r - 36, 83 = 4*y - 3*r. Suppose -y = -5*i + 3. Is i a multiple of 3?
False
Suppose 5*z + 27 = -3*r, -2*z + 1 = -r - z. Let i = 9 + r. Is i even?
False
Suppose 22*m = 15*m + 77. Is m even?
False
Let d be 2*-4*9/12. Is d/(-3) + (1 - -3) even?
True
Let x(v) = 3*v. Let a(o) = 13*o - 1. Let r(b) = -2*a(b) + 9*x(b). Suppose -4*m + 29 = 5*q, 31 = 3*m + 2*m + q. Is r(m) a multiple of 8?
True
Suppose 387 = 4*z + c, 0*c = -3*z - 2*c + 294. Is z a multiple of 24?
True
Let s = 37 + -66. Let l = s + 52. Is 17 a factor of l?
False
Let x be 8/12 + 40/(-6). Suppose -k - 1 = -0. Is 12 a factor of (x/(-8))/(k/(-16))?
True
Let y = 53 - 5. Does 10 divide y?
False
Does 16 divide (1 - -74) + 0/11?
False
Suppose 4*r + 3*i - 9 = 0, 4*r - 1 - 6 = -5*i. Suppose -r*p = -138 - 126. Suppose -5*q + 12 = -p. Is q a multiple of 20?
True
Let i(o) = 8*o**2 - 2*o. Is i(3) a multiple of 33?
True
Does 16 divide 62 - -14 - 4/(4/3)?
False
Is -38*-3*(-4)/(-8) a multiple of 14?
False
Suppose -8*k + 68 = -4*k. Let g(f) = -f**3 + 6*f**2 - 4*f - 1. Let r be g(5). Suppose -4 = -r*l, 0 = -3*n - 5*l - k + 100. Is 13 a factor of n?
True
Let h be (1 - 1)/(-2) - -5. Let c = h - 2. Is c/(-3) + -1 + 16 a multiple of 7?
True
Suppose -4*f + 20 = 0, m = -5*f + 180 - 36. Is m a multiple of 21?
False
Let q(x) = -1. Let w(t) be the second derivative of t**3/2 - 7*t**2/2 + t. Let z(u) = 6*q(u) - w(u). Is 12 a factor of z(-4)?
False
Suppose -2*o + 104 = x + 3*x, -3*o + 36 = x. Does 24 divide x?
True
Let g(c) = -2*c + 6. Let t(b) = b**3 + 6*b**2 + 2*b + 8. Let z be t(-6). Let u = -1 + z. Is g(u) a multiple of 8?
True
Suppose -z + 2*b - 2 = -52, -b - 172 = -4*z. Is 14 a factor of z?
True
Suppose -2*t + 0*t - 104 = 0. Does 15 divide (-6)/2 - (t - 1)?
False
Let j(p) be the first derivative of 4*p**4/3 + 3*p**2/2 + 2. Let i(k) be the second derivative of j(k). Is 20 a factor of i(1)?
False
Let j(l) = l**2 + 9*l + 1. Let a(u) = -10*u. Let f be a(1). Is 11 a factor of j(f)?
True
Suppose 3*l - 283 - 83 = 0. Is 4 a factor of l?
False
Let w be ((-12)/1)/2*-9. Let n(z) = 4*z**2. Let o be n(-3). Let g = w - o. Is 18 a factor of g?
True
Let p = -31 + 38. Is p even?
False
Let v(h) = 8*h**3 - h - 1. Let i be v(-1). Let z = i - -12. Suppose -3*u - 6 = 0, 5*f = -z*u - u + 50. Is 6 a factor of f?
True
Is 20 a factor of 4/(-4) + 3 - -18?
True
Let v(d) = -d - 7. Suppose 5*k + 3*z + 31 = -8, -5*k = z + 43. Let f be v(k). Suppose -10 = -f*y + 4*m, -4*m = 3*y + m - 15. Is 3 a factor of y?
False
Let t be (20/(-25))/(1/5). Let q = -17 - t. Let l = q - -42. Does 18 divide l?
False
Let k(r) = -5*r**2 - 10*r + 12. Let v(y) = y**2 + y - 1. Let a(u) = k(u) + 4*v(u). Let f be ((-2)/5)/((-1)/(-15)). Is 5 a factor of a(f)?
False
Let n(j) = -j**3 + 9*j**2 + 8*j - 12. Does 33 divide n(8)?
False
Suppose 0 = -2*g - 9 + 43. Let z = -7 + g. Does 5 divide z?
True
Let i be 2/6 + (-596)/(-12). Let s = i - 2. Is s a multiple of 16?
True
Let l(m) = m**3 - 2*m**2 + 4*m - 3. Let b be l(2). Suppose b*u - 16 = -1. Suppose -k = 4*r + 13 - 0, u*k + 2*r - 1 = 0. Is k a multiple of 2?
False
Let o = 2 + 5. Does 16 divide o*5/(70/36)?
False
| {
"pile_set_name": "DM Mathematics"
} |
the nearest one hundred.
-4000
Let n = 2982 - 2981.997429. Let u = -0.002 + n. Round u to five decimal places.
0.00057
Let l = -42.6 - 17.4. Let h = 60.0000176 + l. What is h rounded to five decimal places?
0.00002
Let h = 3543 - 3543.000613. Round h to four decimal places.
-0.0006
Let v = 32 - 31.87. Let r = 0.609 - 0.473. Let i = v - r. What is i rounded to 2 dps?
-0.01
Let q = -22978 + 22977.9999871775. Round q to 6 decimal places.
-0.000013
Let j be (-18)/36*(3 - 3). Suppose -4*u + 3*d = 27240003, j*u = 4*u - 2*d + 27240002. What is u rounded to the nearest 100000?
-6800000
Let c(b) = b**2 - 3*b - 1. Let p be c(-1). Let t be 5 + -21980007 - (p - (-2 + 7)). Round t to the nearest 1000000.
-22000000
Let u = -13.406995 + 12.3219461. Let j = -1.085 - u. What is j rounded to six dps?
0.000049
Let j = -22.55 - -22.5498205. Round j to four decimal places.
-0.0002
Let r = 0.81 + -17.61. Let l = r - -16.79472. What is l rounded to 4 dps?
-0.0053
Let t be 4/14 - (-1075)/35. Suppose -4 - 13 = n - 5*w, t = 5*n + 4*w. Let g be -3 + -1 + n - -140001. Round g to the nearest one hundred thousand.
100000
Let o = 29247.800137243 - 29247.8. What is o rounded to five decimal places?
0.00014
Let b(v) = -27*v**3 - 59*v**2 - 4*v + 60. Let n be b(15). Round n to the nearest ten thousand.
-100000
Let n = 6.98 + -0.48. Let k = n - 6.5001013. Round k to six decimal places.
-0.000101
Let g = -55.1 - 5.9. Let t = g + 68. Let s = t - 7.0000032. What is s rounded to 6 decimal places?
-0.000003
Let u(y) = -4330*y - 50. Let r be 3/((-42)/(-4)) + 61/7. Suppose -i + 6 + r = 0. Let w be u(i). Round w to the nearest ten thousand.
-70000
Let i = 427.3376 - 427. Let y = i - 0.0106. Let b = y + 0.018. Round b to 2 decimal places.
0.35
Let v = 30.559 - 1.719. What is v rounded to the nearest ten?
30
Let q = 96848 + -193418. What is q rounded to the nearest one thousand?
-97000
Suppose -5*v + 77640 = -5*n, 25075 = 3*v + 5*n - 21477. What is v rounded to the nearest 100?
15500
Let c be ((-36)/(-24)*-9)/((-2)/(-2076000)). What is c rounded to the nearest 1000000?
-14000000
Suppose -8*x + 17 + 23 = 0. Suppose -3*s + 8 = u - s, u - 17 = -x*s. Suppose 4*g + 22965 = -u*w + 82961, -4 = 4*g. What is w rounded to the nearest 10000?
30000
Let k = -1.48 + 1.03. Let x = 404 - 403.517. Let h = x + k. Round h to 2 decimal places.
0.03
Let r = -117 - -116.27. Let y = r + 28.73. Let c = y - 27.963. Round c to one dp.
0
Let v(z) = 6401*z + 17. Let r(c) = -12802*c - 40. Let a(x) = -6*r(x) - 14*v(x). Let l be (-2)/4*(-2 + 0). Let h be a(l). Round h to the nearest 1000.
-13000
Let w be 6/((-2)/8 - (-16)/(-32)). Let z be 67802 - ((-56)/w - 5). What is z rounded to the nearest 10000?
70000
Let r = 35 + -65. Let k = -28 - r. Suppose -g = -2*g - k*c - 1679992, g + c = -1679996. What is g rounded to the nearest 100000?
-1700000
Let h = 3833.8605 - 3834. Round h to two dps.
-0.14
Let p = 45 - 43. Let v(b) = -2*b + 4*b - 7*b + 1711113*b**p - 2. Let h be v(3). What is h rounded to the nearest one million?
15000000
Suppose -o = 5*d + 13293, 63*o - 26575 = 65*o - d. Round o to the nearest one hundred.
-13300
Suppose -1918600 = -242*t + 252*t. What is t rounded to the nearest 10000?
-190000
Let n be (-60)/21 - (-2)/(-14). Let f be n + 0/1 - (316 + -3). Let s be (f + -3)*6 - -4. Round s to the nearest 100.
-1900
Let v = 13182 + -13182.0016246. What is v rounded to three dps?
-0.002
Let q = -5.412012 - -318.447112. Let b = q + -313. Round b to two dps.
0.04
Suppose -24*k + 801372000 = 43*k + 11*k. What is k rounded to the nearest 1000000?
10000000
Suppose -5*t = 3*j + 38637, -t - 4*j - 747 = 6960. What is t rounded to the nearest one hundred?
-7700
Let u be ((20/5 - 0) + 9156)*19500. What is u rounded to the nearest 1000000?
179000000
Let f = -0.308895 - -0.3142. Round f to 4 dps.
0.0053
Let r(y) = 967*y - 182. Let g be r(7). Let n = g + 17073. What is n rounded to the nearest 1000?
24000
Suppose -13*s - 3 + 42 = 0. Let i(u) = 3*u + 209*u**2 + 26 - s*u - 46 - u. Let o be i(9). What is o rounded to the nearest one thousand?
17000
Let s be -1 + 1 + (-1 - -5). Suppose p + 4274976 = s*t + t, -2565004 = -3*t - 4*p. Suppose 5*b + 3*i + i = -t, -4*b - 683999 = i. Round b to the nearest 10000.
-170000
Let i = -20494 - -20641.3. Round i to the nearest one hundred.
100
Let i = 131.859 - -0.141. Let g = i + -148.95. What is g rounded to 0 decimal places?
-17
Let j = -0.043737 - -133.049737. Let m = j + -133. What is m rounded to 2 decimal places?
0.01
Let o = 364.46 + -364.4584681. What is o rounded to 4 decimal places?
0.0015
Suppose 35*x - 82*x = 63*x + 258489000. Round x to the nearest ten thousand.
-2350000
Let u = 26.21 + -53.68. What is u rounded to zero dps?
-27
Let w = 38 + -62. Let r = 0.85429 - 24.86079. Let m = r - w. What is m rounded to 2 dps?
-0.01
Let b = -487.42 + 3815. What is b rounded to the nearest 100?
3300
Let k(z) = -58*z**2 - 11*z + 1. Let w(i) = i. Let a(j) = k(j) + w(j). Let c be a(4). Let v = -537 - c. Round v to the nearest 100.
400
Let r = 51209.1561 + -51260. Let w = 51.0839105 + r. Let d = w + -0.24. Round d to 6 decimal places.
0.000011
Let m = -8.123 - 41.747. Let w = -50 - m. Let d = -0.062 - w. What is d rounded to 2 dps?
0.07
Let j(x) be the first derivative of x**4/2 - 4*x**3/3 - x**2/2 + x + 7. Let p be 1*4 + (36 - 37). Let f be j(p). What is f rounded to the nearest 10?
20
Let l = -10087.999986925 - -10088. What is l rounded to 7 dps?
0.0000131
Let m = -1841 - -1840.999998768. Round m to 6 decimal places.
-0.000001
Let m = -1328.354 - -1595.3496. Let v = m - 267. What is v rounded to three dps?
-0.004
Suppose 2*v + 23 = 2*o + 5*v, 0 = -4*o - 4*v + 44. Suppose 14*n - o*n = 103200000. What is n rounded to the nearest 1000000?
26000000
Let i = -2.3 + -5. Let o = -4.973 + -2.3246. Let b = i - o. Round b to four decimal places.
-0.0024
Let q = 702.4 + 2204.1. What is q rounded to the nearest ten?
2910
Let x(y) = -y**3 + 19*y**2 + 42*y + 8. Let d be x(21). Suppose 2*r = 2*j - 2314, 3*j + 5809 = d*j + r. Round j to the nearest 100.
1200
Suppose 144548005 + 148359365 = -411*j. What is j rounded to the nearest one hundred thousand?
-700000
Let q be ((-28)/6)/(-1*2/3). Let n = q + -13. Let f be (((-72)/10)/n)/((-2)/1350). Round f to the nearest one hundred.
-800
Let j = -388.04211 + 388.2. Round j to three decimal places.
0.158
Let x be ((-3255472)/(-32) + -21)*(1 - -231). Round x to the nearest 100000.
23600000
Let y = 241 - 265.9. Let n = y + -4.1. Let m = 29.00061 + n. What is m rounded to 4 dps?
0.0006
Let q be 40/(45330/(-226150) + 10/50). Round q to the nearest one hundred thousand.
-100000
Let d = 12615.9987474 - 12616. What is d rounded to four decimal places?
-0.0013
Let p = -915 + 2055. Let s be ((-11309)/(-3) + (5 - 8))*p. What is s rounded to the nearest one hundred thousand?
4300000
Let q = -31 + 33. Suppose q*n + 16 = 22. Suppose -n*o = -c + 113100003, c + 282708597 - 94208600 = -5*o. What is o rounded to the nearest one million?
-38000000
Suppose r + 3*o = -3 + 18, o - 5 = 5*r. Suppose r = -5*s + 4*s + 310000. What is s rounded to the nearest 100000?
300000
Suppose -18481046 = 2*t + 5*q, 5*t + 46202596 = -8*q + 5*q. Let s = t - -4540518. Round s to the nearest one million.
-5000000
Let w = 88488 - 124401. Let p = 927 - w. What is p rounded to the nearest 1000?
37000
Suppose -5*u + u = 0, -2*u = 94*m - 90*m - 28928000. Round m to the nearest 1000000.
7000000
Let q = -3 - 27. Let z = -0.4561 + -29.4649. Let x = q - z. Round x to 2 dps.
-0.08
Let u = 2.150546 + 0.187634. Round u to one decimal place.
2.3
Let x = 83.530004669 + -83.53. What is x rounded to six decimal places?
0.000005
Let j = -209 - -66. Let v = j - -85. Let g = v + 57.99922. What is g rounded to four dps?
-0.0008
Let m(z) = -34*z + 68. Let t be m(2). Suppose t = w - 7*g + 2*g - 7105, -28545 = -4*w - 5*g. Round w to the nearest one thousand.
7000
Let j = 109 - 129. Let x be (-25)/j - (5795967/12 + 4). What is x rounded to the nearest 100000?
-500000
Let z = 0.439430551 + 222.560580349. Let i = z - 223. What is i rounded to five decimal places?
0.00001
Let t = 22 - 49. Let l = -25 - t. Suppose -4*q = -3*q + 5*f + 97, -q - l*f - 103 = 0. What is q rounded to the nearest 10?
-110
Suppose q + 388080010 = -54*w + 49* | {
"pile_set_name": "DM Mathematics"
} |
Let l(a) = -a**3 - 12*a**2 + 15*a + 1. Let f be l(-13). Calculate the remainder when ((-1)/(10/(-24)))/((-10)/f) is divided by 2*(9/6 - 0).
0
Let o(i) = 1803*i + 11088. Calculate the remainder when 627 is divided by o(-6).
87
Suppose -5*w - 5 + 20 = 0. Suppose 4*i + w = 71. What is the remainder when 49 is divided by (0/3 + i)/(0 - -1)?
15
Let s(o) = o**2 - o - 103. Let p be s(-11). Suppose 371 = 10*d - p. What is the remainder when 134 is divided by d?
14
Let o = 570 + -559. Let r = -35 - -61. Let p = 15 + r. Calculate the remainder when p is divided by o.
8
Let j = -21743 + 30708. What is the remainder when j is divided by 78?
73
Calculate the remainder when (-14 + 5)*(2/8 + 6836/(-16)) is divided by 74.
69
Suppose 2*o = -3*h + 47, 1 = -3*o + 13. What is the remainder when (6 - 11)*((-1)/(-5) - (-5 + 54)) is divided by h?
10
Suppose -3*b + 549 = 4*j, 6*j - 770 = -4*b + 7*j. Calculate the remainder when b is divided by 20.
11
Let s(z) = z**2 - 86*z + 1798. Let p = 33 - 9. Calculate the remainder when p is divided by s(51).
11
Suppose -11*h - 3696 = 11*h. What is the remainder when 235 is divided by h/(-64)*-4*(-20)/7?
25
Suppose 4*g - 2*s = -741 + 2893, -2*g = 2*s - 1088. Calculate the remainder when g is divided by 135.
0
Let v(t) = t**2 + 16*t - 1. Let g(c) = -2*c**2 + 5*c + 3. Let z be g(-6). Let b = -20 - z. What is the remainder when b is divided by v(-17)?
15
Let o = -8968 - -11728. Calculate the remainder when o is divided by 11.
10
Let z = -5209 - -5853. Calculate the remainder when 2580 is divided by z.
4
Let c(a) = 2*a**2 - 99*a + 24. Let l be c(7). Let f = l - -695. Calculate the remainder when f is divided by 32.
28
Suppose -143*r - 147835 = -379209. What is the remainder when r is divided by 393?
46
Let m = 241 + -229. What is the remainder when 105 is divided by m?
9
Let a(f) = 4675*f + 32764. Suppose -3*o + 0*o = -117. Calculate the remainder when o is divided by a(-7).
0
Let s be (39/26)/(6/(-40)). Let c(d) = -d**3 - 7*d**2 + 21*d - 2. Calculate the remainder when 177 is divided by c(s).
1
Let a = 8352 - 8171. Calculate the remainder when a is divided by 84.
13
Let c(t) = 9*t**2 - 11*t + 10. Let n(f) = -4*f**3 + 35*f**2 + 8*f + 13. Let u be n(9). Let d = 16 + -2. Calculate the remainder when c(u) is divided by d.
12
Let n(j) = 44*j**2 - 494*j - 990. Suppose 2*i = 88 + 4. What is the remainder when n(-2) is divided by i?
36
Let j(u) = 3*u**2 + 7*u - 10. Suppose -4327*w = -4329*w + 134. Calculate the remainder when w is divided by j(-6).
11
Let q be ((-10642)/51)/(2/(-3)) - 4. Suppose -q = -18*r + 159. What is the remainder when 41 is divided by r?
15
Let x be (-5)/((-20)/102)*(-40)/(-60). Suppose 7*n = x*n - 310. What is the remainder when n is divided by 26?
5
Suppose -3*z - 2*a - 34 = 36, 0 = 4*a - 16. Suppose -37*d - 74 = 96 - 133. What is the remainder when 90 is divided by 13/z*26/d?
12
Let j(f) = -114*f - 187. What is the remainder when j(-7) is divided by 40?
11
Suppose 22*d - 3360 = 30*d - 20*d. Calculate the remainder when d is divided by 82.
34
Suppose -a + 4 = x - 40, 0 = -4*a - 2*x + 178. Let n be ((-33)/6 + 6)*-16. Calculate the remainder when (80 - (n - 2)) + -6 is divided by a.
39
Suppose -f + 3*f = 2, -d = -4*f. Calculate the remainder when 285/(-9)*(-2 + -1) is divided by 84/(-3 + 6) - d.
23
Suppose -3*v - 99 = -105. Calculate the remainder when 207 is divided by v.
1
Suppose -h - 5*g + 34 = 0, 3*h - h - 96 = 4*g. Suppose -14*y - 1590 = -h*y. Calculate the remainder when y is divided by 7.
4
Let o(r) = -r**3 + 6*r**2 - 9*r + 4. Let q be o(4). Suppose q = x + 2*v - 89, 5*x - 445 = 7*v - 11*v. Calculate the remainder when x is divided by 18.
17
Let h be -5*(-6)/(-70) + 219/21. Let o(c) be the third derivative of c**4/12 + 2*c**3 - 2*c**2. What is the remainder when o(h) is divided by 17?
15
Suppose 3*d - 16 = -3*r + 5, 3*r = -3. Let y(g) = 2*g - 14. Let b(z) = 5*z - 41. Let c(s) = d*y(s) - 3*b(s). What is the remainder when c(-6) is divided by 4?
1
Let q(i) = -35*i + 145. Let b(l) = 18*l + 238. Let m be b(-13). What is the remainder when 447 is divided by q(m)?
2
Let m(c) = c**2 - 2*c + 65. Let x be m(17). Let s = 375 - x. Calculate the remainder when s is divided by 14.
13
Suppose -7*z + 8*z - 284 = 568. Calculate the remainder when 1706 is divided by z.
2
Let c = 5926 + -4758. What is the remainder when c is divided by 147?
139
Let i(q) = -519*q + 6272. Calculate the remainder when i(12) is divided by 13.
5
Let u = 624 + -607. What is the remainder when 2802 is divided by u?
14
Suppose -19*f + 18*f - 192 = 0. Let x = f - -200. What is the remainder when 47 is divided by x?
7
Let x(n) = 664*n - 6816. What is the remainder when x(11) is divided by 152?
32
Let w(n) = -3*n**3 + 4*n**2 + 15*n - 3. Let r be w(6). Let o = -372 - r. What is the remainder when 313 is divided by o?
43
Let x(z) = -2*z**2 + 7*z + 8. Let g be x(6). Let w = g + 36. What is the remainder when (-3)/18*-114 - (-5 + 0) is divided by w?
10
Calculate the remainder when 1063 is divided by 40 + 0 + -2 + (-34 - -34)/(-34).
37
Calculate the remainder when 1031 is divided by ((-19)/(-38))/(1/444).
143
Suppose -3*p = 28 + 41. Let v = p - -39. What is the remainder when 57 is divided by v?
9
Suppose 38 = -4*s - 134. Suppose -5*d = -484 + 89. Let b = s + d. Calculate the remainder when b is divided by 13.
10
Calculate the remainder when 832 is divided by (6145/10 + 5)*(0 - (-4)/6).
6
Let f(p) = -4 + 16*p**2 + 17*p - 15*p + 5. Let g(c) = c**3 - c**2 - 55*c + 25. Calculate the remainder when f(2) is divided by g(0).
19
Let k = -10745 - -10823. What is the remainder when 302 is divided by k?
68
Let j(x) = -x**3 + 15*x**2 + 44*x - 392. What is the remainder when 452 is divided by j(16)?
4
Let p = -178 - -176. Let d(n) = 7*n**2 + 4*n + 5. Calculate the remainder when d(p) is divided by 15.
10
Suppose 0 = 8*b - 194 - 2214. Let s = b + -274. Calculate the remainder when 77 is divided by s.
23
Calculate the remainder when 216/14*(-6 - (-248)/40)*35 is divided by 20.
8
Let v(i) = -23*i**3 + 2*i**2 + 5*i + 4. Suppose -4*o + 4*p = -428, 2*p = 4*o - 3*p - 431. What is the remainder when o is divided by v(-1)?
8
Let o(l) = -64*l + 3654. Calculate the remainder when o(55) is divided by 43.
5
Calculate the remainder when 1/(252224/16814 + -15) is divided by 43.
40
What is the remainder when 3058 - (3/(-12))/((-5)/(-20)) is divided by 18?
17
Suppose 5*j + 1 = -4. Let a be 4 - (0 + 2 + j). Suppose -22 + 1 = -a*x. Calculate the remainder when 20 is divided by x.
6
Let q = 6652 + -6611. What is the remainder when 113 is divided by q?
31
Let w(a) = 15*a - 16. Suppose 16*c - 648 = -11*c. Calculate the remainder when w(c) is divided by 23.
22
What is the remainder when 4/50 - -18365*(-38)/(-4750) is divided by 72?
3
What is the remainder when 161*(282/(-47))/(1*-3) is divided by 113?
96
Suppose 82 = -u + 67. Let x(k) = -k**3 - 16*k**2 - 21*k + 11. Calculate the remainder when x(u) is divided by 8.
5
Suppose 4*w + 13 - 57 = -5*x, 5*x - 4*w = 76. Calculate the remainder when 283 is divided by x.
7
Suppose -27*m + 11*m + 1424 = 0. Suppose 876*j + m = 877*j. Calculate the remainder when 622 is divided by j.
88
Let y(l) = 64*l**2 - 783*l - 1. Calculate the remainder when y(-6) is divided by 206.
203
Let j = 1999 - 1979. What is the remainder when (-89 - (-2)/2)*-2 is divided by j?
16
Suppose 0 = -71*f + 10358 - 10476 + 32352. Calculate the remainder when f is divided by 148.
10
Suppose -4*r - 4*z = -9*r + 377, -3*r + 210 = 3*z. Calculate the remainder when r is divided by 64.
9
Suppose 2*z + 299 + 142 = 5*f, 263 = 3*f - 2*z. Let i = -86 + f. Calculate the remainder when 12 is divided by i.
0
Suppose 10680 = -21*x - 9*x. Let o = 357 + x. What is the remainder when 1 is divided by o?
0
Suppose 5*k - 40 = 2*n, 3*n = -3*k + 6 - 3. Suppose -o = -k*o + 395. Calculate the remainder when o is divided by ((-4)/6)/(-1)*15.
9
Let m(k) = -7*k + 371. Let l be m(34). Suppose 2*j + 459 = 5*j + 3*t, -j + 3*t + l = 0. Calculate the remainder when j is divided by 39.
31
Suppose 47 = 21*f - 457. Suppose -9*b = -f*b + 240. Calculate the remainder when 87 is divided by b.
7
Let t(r) = -25 - r**2 + 0*r**2 + 0*r**2 + 68. Suppose -7*a + 105 + 0 = 0. Calculate the remainder when t(0) is divided by a.
| {
"pile_set_name": "DM Mathematics"
} |
ding order.
-4, 5, 7, 13
Sort 6, -1, 1, -2.
-2, -1, 1, 6
Sort 2, 3/7, -19.
-19, 3/7, 2
Sort 0.4, 2, 3, 3.68, 4 in ascending order.
0.4, 2, 3, 3.68, 4
Put 4.5, 1/4, -2 in ascending order.
-2, 1/4, 4.5
Sort -3, 5/3, -5/13 in decreasing order.
5/3, -5/13, -3
Sort 0, 0.01, 9.
0, 0.01, 9
Sort 105, 0.4, -0.5 in descending order.
105, 0.4, -0.5
Sort -0.3, -1, -0.5, 4.3.
-1, -0.5, -0.3, 4.3
Sort -1, 3, 6, -12 in increasing order.
-12, -1, 3, 6
Sort -3, 3, 14, 4 in descending order.
14, 4, 3, -3
Sort 211, 1, 8 in ascending order.
1, 8, 211
Sort 36, 5, -4.
-4, 5, 36
Sort -4, 2586, 4 in descending order.
2586, 4, -4
Sort 2/15, -2, 165 in increasing order.
-2, 2/15, 165
Put -2, 1/2, -3, 22 in ascending order.
-3, -2, 1/2, 22
Put 2/7, 22/7, -1, -4 in descending order.
22/7, 2/7, -1, -4
Put 8, 1, -7 in decreasing order.
8, 1, -7
Sort -294, 1, -0.1.
-294, -0.1, 1
Sort -2/13, -3.06, -0.3.
-3.06, -0.3, -2/13
Sort 3, 5, 493 in descending order.
493, 5, 3
Sort 5, -71, 22 in decreasing order.
22, 5, -71
Put 58, -3, 4, 5 in descending order.
58, 5, 4, -3
Put 15, -0.1, 0.3, 4 in increasing order.
-0.1, 0.3, 4, 15
Sort 0, 0.03, -4 in decreasing order.
0.03, 0, -4
Sort 2/55, 1, -0.2 in increasing order.
-0.2, 2/55, 1
Put 3, 4, 8, 6 in descending order.
8, 6, 4, 3
Sort -1/2, -16, -302, -1 in decreasing order.
-1/2, -1, -16, -302
Put 1, -163, 2, 3, -3 in descending order.
3, 2, 1, -3, -163
Put -4, 5, -12, -0.1 in decreasing order.
5, -0.1, -4, -12
Put 5, -2, -17, -1 in increasing order.
-17, -2, -1, 5
Sort -0.17, -0.1, 0.03 in decreasing order.
0.03, -0.1, -0.17
Put -5, 242, -3 in increasing order.
-5, -3, 242
Put -4, -7, 112, -3/4 in ascending order.
-7, -4, -3/4, 112
Sort 0.4, -0.1, 2/7, 0.1, -311 in descending order.
0.4, 2/7, 0.1, -0.1, -311
Sort -1, 11, -4, 20 in descending order.
20, 11, -1, -4
Sort 0.033, -1, -4 in ascending order.
-4, -1, 0.033
Sort -3, -2, 31, 3, 5 in increasing order.
-3, -2, 3, 5, 31
Sort 78, -4, -3.
-4, -3, 78
Sort 1, 23/5, 0.04, 0, -3/7.
-3/7, 0, 0.04, 1, 23/5
Sort -188, -4, 0, 4, -5 in increasing order.
-188, -5, -4, 0, 4
Sort 18, -8, 4, -0.3 in descending order.
18, 4, -0.3, -8
Sort -2, 1220, -3.
-3, -2, 1220
Sort 12, 9, 0.2, 8, 5.
0.2, 5, 8, 9, 12
Put -4, 46, 4, 17 in descending order.
46, 17, 4, -4
Sort -1, -1/83, -4/13, -1/2.
-1, -1/2, -4/13, -1/83
Put -280, 0, -5 in increasing order.
-280, -5, 0
Sort -755, 3, 4 in decreasing order.
4, 3, -755
Put -3, 1, -7, -4 in decreasing order.
1, -3, -4, -7
Sort 1/3, 2/117, 0 in decreasing order.
1/3, 2/117, 0
Put -2, -17, 1, 7, -6 in descending order.
7, 1, -2, -6, -17
Put -1, -0.2, 1/22, 0.5 in increasing order.
-1, -0.2, 1/22, 0.5
Sort 5, -2/11, -12, -4 in descending order.
5, -2/11, -4, -12
Sort -1/4, -0.2, -2/11, -269, 3 in increasing order.
-269, -1/4, -0.2, -2/11, 3
Put 3/5, -0.1, 4, 6/13 in ascending order.
-0.1, 6/13, 3/5, 4
Sort -1, 3, 6, -4.
-4, -1, 3, 6
Put 0.5, 11, -4, -0.1 in decreasing order.
11, 0.5, -0.1, -4
Put -1/12, 0.1, -1/2, 5 in descending order.
5, 0.1, -1/12, -1/2
Sort -3, 1/9, 3 in descending order.
3, 1/9, -3
Put 5, 1, -17, -2, 0 in descending order.
5, 1, 0, -2, -17
Sort 7/157, -0.4, 2/7 in ascending order.
-0.4, 7/157, 2/7
Put 5.05, -0.4, 5 in descending order.
5.05, 5, -0.4
Sort -2/231, -0.5, -2/3, 0.5.
-2/3, -0.5, -2/231, 0.5
Put -10, -4, 1/6, -0.5 in ascending order.
-10, -4, -0.5, 1/6
Put 91, 2, 5 in decreasing order.
91, 5, 2
Sort -2, -0.2, -0.4, 0.5, 3/4 in decreasing order.
3/4, 0.5, -0.2, -0.4, -2
Put 4, 9106, 3 in descending order.
9106, 4, 3
Put -2, 138, -4 in ascending order.
-4, -2, 138
Sort -1, 3, 0, -5 in decreasing order.
3, 0, -1, -5
Put -41, -30, -4 in ascending order.
-41, -30, -4
Sort -20/9, 0.1, 0.3 in decreasing order.
0.3, 0.1, -20/9
Put -3, -1, -5/6, 14 in descending order.
14, -5/6, -1, -3
Sort -3/4, 1/7, -0.3, -0.2 in descending order.
1/7, -0.2, -0.3, -3/4
Put -3, -4, 5, -45 in decreasing order.
5, -3, -4, -45
Sort -62, 55, 0.4.
-62, 0.4, 55
Sort 5, 4/9, 0, 0.3, -0.4 in ascending order.
-0.4, 0, 0.3, 4/9, 5
Sort 13, 5, -2, 0.
-2, 0, 5, 13
Put 64, 5, -2, -1, 3 in ascending order.
-2, -1, 3, 5, 64
Sort -10, 1, -2 in ascending order.
-10, -2, 1
Sort 447, 6, 5, 0, -3 in increasing order.
-3, 0, 5, 6, 447
Put -6, 108, 0, -4 in descending order.
108, 0, -4, -6
Put -5, 3, 1, 1004 in descending order.
1004, 3, 1, -5
Sort 212, 0, 2 in ascending order.
0, 2, 212
Put 49, 1, -1/5 in decreasing order.
49, 1, -1/5
Sort 4, 3.6, 0, 3.
0, 3, 3.6, 4
Sort -5, -2, -1.16, -7 in increasing order.
-7, -5, -2, -1.16
Put -48, 3, -4 in decreasing order.
3, -4, -48
Sort -0.2, 2/15, 2/27 in increasing order.
-0.2, 2/27, 2/15
Sort 22, -7, 1 in increasing order.
-7, 1, 22
Sort -3/7, -0.1, -6, -0.2 in decreasing order.
-0.1, -0.2, -3/7, -6
Put -10, 6, -2 in decreasing order.
6, -2, -10
Sort -5, 5, 6 in increasing order.
-5, 5, 6
Put -4, 2, 4, -15 in decreasing order.
4, 2, -4, -15
Put 10, 48, 2 in descending order.
48, 10, 2
Sort 14, 2/13, 2, 0.
0, 2/13, 2, 14
Sort -5, -51, 2.
-51, -5, 2
Sort 1, 0.47, 2, 9.
0.47, 1, 2, 9
Sort -5, -20, 5, 1.
-20, -5, 1, 5
Put 3.47, 1/2, -3 in decreasing order.
3.47, 1/2, -3
Sort 0.4, 26/5, -0.3, -25 in descending order.
26/5, 0.4, -0.3, -25
Put -6, -2, -1, -8 in decreasing order.
-1, -2, -6, -8
Sort 83.03, -5, -3 in descending order.
83.03, -3, -5
Sort -1/4, -1/5, 5, 1/13.
-1/4, -1/5, 1/13, 5
Put 5, -2, 0.1, 0.5, -39 in descending order.
5, 0.5, 0.1, -2, -39
Put 35, -5, 5 in ascending order.
-5, 5, 35
Put -0.5, 4, -4/19, 0.2, -2/7 in ascending order.
-0.5, -2/7, -4/19, 0.2, 4
Put 2, -0.2, -0.193 in decreasing order.
2, -0.193, -0.2
Sort 0.4, 0.059, 4, 1/2, -6.
-6, 0.059, 0.4, 1/2, 4
Sort 0, -3, 3.
-3, 0, 3
Sort -0.3, -2/15, 7 in decreasing order.
7, -2/15, -0.3
Put -0.1, 3/7, 5, -0.3, -0.4 in descending order.
5, 3/7, -0.1, -0.3, -0.4
Sort 0.032, -5, 72, 0.2.
-5, 0.032, 0.2, 72
Sort -0.2, 3/4, -3/5, 0, 35 in increasing order.
-3/5, -0.2, 0, 3/4, 35
Sort 1, 0.05, 43.
0.05, 1, 43
Sort 2/5, 1, -5, -435 in increasing order.
-435, -5, 2/5, 1
Put 0.4, 3, 1/7, 2, 9/85 in decreasing order.
3, 2, 0.4, 1/7, 9/85
Sort -1/2, 1, 84.
-1/2, 1, 84
Sort -1, -2, -3, -68 in increasing order.
-68, -3, -2, -1
Sort -4, -2, 7, -10, -3.
-10, -4, -3, -2, 7
Put -1, -2/7, 1/5, -2, 3/2 in decreasing order.
3/2, 1/5, -2/7, -1, -2
Put -0.3, 5, 1284 in ascending order.
-0.3, 5, 1284
Put 0, -5, 11, -2 in ascending order.
-5, -2, 0, 11
Sort 496, 1, 5, 2 in descending order.
496, 5, 2, 1
Sort 1, 5, 4, -3.
-3, 1, 4, 5
Sort -10, 2, 12, 0.
-10, 0, 2, 12
Sort -9, -4, -2, 2, 3 in ascending order.
-9, -4, -2, 2, 3
Put -3, -4, -155, 5 in decreasing order.
5, -3, -4, -155
Sort -3, 2, -284 in descending order.
2, -3, -284
Sort -1, 4, -29, 5 in descending order.
5, 4, -1, -29
Sort 0.2, 344/5, 0.
0, 0.2, 344/5
Sort -1, -4, 13, -5 in ascending order.
-5, -4, -1, 13
Put 227, -0.3, -1/4, -3, 3/5 in increasing order.
-3, -0.3, -1/4, 3/5, 227
Put 4, 9, -80 in increasing order.
-80, 4, 9
Sort 10, -1, 4 in ascending order.
-1, 4, 10
Sort 2, 5, -3, 0 in descending order.
5, 2, 0, -3
Sort -2/17, 0.4, -6, -1/3 in ascending order.
-6, -1/3, -2/17, 0.4
Sort 0.2, 1, -0.5, -0.1, -2 in increasing order.
-2, -0.5, -0.1, 0.2, 1
Sort 6, -469, -1, -3 in decreasing order.
6, -1, -3, -469
Sort 5, -103, -1 in decreasing order.
5, -1, -103
Put 0, 3, -146, -2 in decreasing order.
3, 0, -2, -146
Sort 384, -3, -0.02, 0, 0.2 in descending order.
384, 0.2, 0, -0.02, -3
Put 1/4, -0.49, -1 in decreasing order.
1/4, -0.49, -1
Sort -73, -1, -2, 4.
-73, -2, -1, 4
Put 2, -13, -20 in ascending order.
-20, -13, 2
Put 1, 0.3, -4, -3 in decreasing order.
1, 0.3, -3, -4
Sort -5, 1, 47.
-5, 1, 47
Put -516, 0, -2, 0.3, -1/6 in increasing order.
-516, -2, -1/6, 0, 0.3
Put 2/653, -0.2, 7 in descending order.
7, 2/653, -0.2
Sort 3/7, 0.2, 0, 29.
0, 0.2, 3/7, 29
Sort -3, -2/23, 5 in descending order.
5, -2/23, -3
Sort -2, -5, -4, 161, 3 in ascending order.
-5, -4, -2, 3, 161
Put -4, -21, 3, 16 in increasing order.
-21, -4, 3, 16
Sort 5, -4, -2, -1 in descending order.
5, -1, -2, -4
Sort -2, 27, 4, 0 in ascending order.
-2, 0, 4, 27
Put 0.1, 17, 2/13 in descending order.
17, 2/13, 0.1
Put 0, 3, -30, -2, -11 in decreasing order.
3, 0, -2, -11, -30
Sort 44, -2, 3, -5 in decreasing order.
44, 3, -2, -5
Put -2069, 1, 0 in ascend | {
"pile_set_name": "DM Mathematics"
} |
22696, 28369, 34042?
39715
What is next in -4030, -8047, -12064, -16081, -20098?
-24115
What is next in -151607, -151601, -151595, -151589?
-151583
What comes next: 52887, 211596, 476109, 846426?
1322547
What is the next term in 32, 177, 422, 773, 1236, 1817, 2522, 3357?
4328
What comes next: 62887, 62888, 62889, 62890, 62891?
62892
What is next in 15616, 15610, 15584, 15526, 15424, 15266, 15040?
14734
What comes next: 1089, 1121, 1157, 1197, 1241, 1289?
1341
What comes next: 2799, 2755, 2711, 2667?
2623
What is next in 1954795, 1954793, 1954791, 1954789, 1954787?
1954785
What is next in 27605, 110462, 248571, 441938, 690569?
994470
What is next in -806, -3214, -7222, -12830, -20038, -28846?
-39254
What is next in 580, 1358, 2160, 2986, 3836, 4710, 5608?
6530
What is next in 451, 1934, 4413, 7894, 12383, 17886, 24409?
31958
What is next in -129458, -258905, -388354, -517805, -647258, -776713?
-906170
What is next in -4243, -4193, -4049, -3763, -3287, -2573, -1573, -239?
1477
What is the next term in 35, 49, 71, 101, 139, 185, 239?
301
What is the next term in 1008, 1989, 2970, 3951?
4932
What is the next term in -4084, -4229, -4476, -4831, -5300?
-5889
What is the next term in -1626, -1621, -1614, -1605, -1594, -1581?
-1566
What is next in -140, -508, -1120, -1976, -3076, -4420, -6008?
-7840
What comes next: 241, 954, 2157, 3850, 6033, 8706?
11869
What is the next term in 24107, 96432, 216987, 385778, 602811?
868092
What is next in 9, 29, 37, 15, -55, -191, -411?
-733
What is the next term in -472, -976, -1474, -1966, -2452?
-2932
What is the next term in 155679, 311358, 467037?
622716
What comes next: -389, -1967, -4597, -8279?
-13013
What is next in -15200, -15199, -15198?
-15197
What is the next term in -268819, -537634, -806439, -1075228, -1343995?
-1612734
What is the next term in -4207, -8456, -12717, -16996, -21299, -25632, -30001?
-34412
What is the next term in 3744, 15178, 34292, 61080, 95536, 137654?
187428
What is the next term in -219648, -439323, -659008, -878709, -1098432, -1318183?
-1537968
What is next in 49, 36, 27, 22, 21, 24?
31
What comes next: -1529719, -1529720, -1529721, -1529722?
-1529723
What is next in 1647, 6566, 14763, 26238?
40991
What is next in 7090, 14189, 21288?
28387
What is next in -636, -606, -556, -486, -396?
-286
What is next in 2214, 2011, 1672, 1197, 586, -161?
-1044
What is the next term in 4831, 9661, 14491?
19321
What is next in -875, -2140, -3795, -5840, -8275, -11100?
-14315
What comes next: 43569, 43520, 43457, 43374, 43265, 43124?
42945
What is next in -46, -162, -350, -610, -942, -1346, -1822?
-2370
What is the next term in -54007, -108012, -162017?
-216022
What comes next: 201477, 201470, 201463, 201456?
201449
What is next in 669373, 669374, 669375?
669376
What is the next term in -7566, -7549, -7516, -7461, -7378, -7261, -7104, -6901?
-6646
What is the next term in -103, -192, -325, -490, -675, -868?
-1057
What comes next: -324, -624, -912, -1182, -1428, -1644, -1824?
-1962
What is the next term in 332, 1236, 2736, 4826, 7500, 10752?
14576
What is next in -8572, -8589, -8624, -8683, -8772, -8897, -9064?
-9279
What comes next: 91, 151, 193, 205, 175, 91?
-59
What is next in 128, 509, 1210, 2285, 3788, 5773, 8294?
11405
What comes next: 12761, 51035, 114823, 204125, 318941, 459271?
625115
What comes next: -507, -3985, -13419, -31791, -62083, -107277, -170355?
-254299
What is next in -811, -1866, -2921?
-3976
What is next in 1035, 2074, 3113, 4152?
5191
What is the next term in -7513, -7501, -7489, -7477?
-7465
What comes next: -1060, -1044, -1008, -940, -828, -660, -424?
-108
What is the next term in 6, 60, 178, 390, 726, 1216, 1890?
2778
What is next in 302847, 605697, 908547, 1211397, 1514247, 1817097?
2119947
What comes next: 34900, 34914, 34936, 34966, 35004, 35050, 35104?
35166
What is the next term in -2878, -2829, -2778, -2725, -2670?
-2613
What is next in 1030, 2057, 3088, 4123, 5162?
6205
What is the next term in 2465, 4937, 7413, 9893?
12377
What is next in -454682, -909351, -1364018, -1818683?
-2273346
What is the next term in 11019, 11032, 11077, 11172, 11335?
11584
What is the next term in 1375, 2848, 4315, 5776, 7231?
8680
What comes next: 1576, 2972, 4354, 5716, 7052, 8356?
9622
What is the next term in -23361, -23401, -23441, -23481?
-23521
What is the next term in -1460, -3046, -4658, -6302, -7984, -9710?
-11486
What is the next term in -634, -2543, -5736, -10213, -15974?
-23019
What is the next term in -82, -151, -228, -313, -406, -507?
-616
What is next in -68666, -137337, -206008, -274679?
-343350
What is next in 1162, 2112, 3064, 4018, 4974?
5932
What comes next: 923, 1791, 2643, 3473, 4275?
5043
What comes next: -7811, -15610, -23401, -31184, -38959?
-46726
What is next in -7662, -30604, -68826, -122328?
-191110
What comes next: 1028, 1992, 2968, 3962, 4980, 6028?
7112
What comes next: -170363, -170359, -170353, -170345, -170335?
-170323
What comes next: -3519, -3517, -3507, -3483, -3439, -3369, -3267, -3127?
-2943
What is next in -894, -933, -1034, -1227, -1542, -2009, -2658?
-3519
What is next in -5985, -5999, -6031, -6087, -6173, -6295, -6459, -6671?
-6937
What is next in 21730, 21723, 21722, 21733, 21762?
21815
What is the next term in 4947, 9578, 14209?
18840
What comes next: -299, -2293, -7671, -18113, -35299, -60909?
-96623
What is next in -81, -203, -379, -603, -869, -1171, -1503, -1859?
-2233
What comes next: -9972, -9951, -9886, -9753, -9528, -9187, -8706?
-8061
What is the next term in -6438, -12908, -19378, -25848?
-32318
What is the next term in -4045, -8205, -12365, -16525, -20685, -24845?
-29005
What comes next: 351, 2774, 9351, 22158, 43271, 74766, 118719?
177206
What is the next term in 552, 1163, 1774?
2385
What is the next term in -2336, -2324, -2304, -2276, -2240?
-2196
What comes next: -65233, -65231, -65229, -65227, -65225, -65223?
-65221
What is next in -232793, -232781, -232771, -232763, -232757, -232753?
-232751
What comes next: -848, -705, -562, -419?
-276
What is next in 13628, 27248, 40868?
54488
What is the next term in -60, -62, -70, -84, -104?
-130
What is the next term in 140, 635, 1608, 3179, 5468, 8595, 12680, 17843?
24204
What is the next term in -153, -290, -605, -1188, -2129, -3518, -5445?
-8000
What comes next: -24170, -96679, -217538, -386753, -604330, -870275?
-1184594
What is next in -13468, -13466, -13464, -13462, -13460?
-13458
What comes next: 5, 49, 119, 227, 385, 605?
899
What comes next: 161, 154, 151, 158, 181, 226, 299, 406?
553
What is the next term in 93232, 93236, 93240, 93244, 93248, 93252?
93256
What is the next term in 2216, 17533, 59072, 139943, 273256, 472121?
749648
What comes next: -236, -423, -608, -791, -972, -1151?
-1328
What is the next term in 13464, 26923, 40380, 53835, 67288, 80739?
94188
What is the next term in 15744, 15742, 15738, 15732, 15724, 15714?
15702
What is next in 13364, 53477, 120332, 213929, 334268?
481349
What is the next term in 3971, 15913, 35825, 63707, 99559?
143381
What is the next term in -17156, -17131, -17106, -17081, -17056, -17031?
-17006
What is the next term in 22709, 22714, 22719, 22724, 22729?
22734
What is next in -374, -397, -436, -491, -562, -649?
-752
What comes next: -1684, -1638, -1606, -1594, -1608, -1654?
-1738
What is the next term in 24525, 49046, 73567, 98088, 122609, 147130?
171651
What is the next term in 133, 344, 561, 784, 1013, 1248?
1489
What is next in -68, -157, -274, -419?
-592
What is the next term in -202, -537, -986, -1549, -2226, -3017?
-3922
What is next in 674, 1157, 1662, 2195, 2762, 3369?
4022
What is next in -9746, -9914, -10370, -11258, -12722, -14906?
-17954
What is the next term in 291, 1677, 5437, 12759, 24831, 42841, 67977?
101427
What is next in 458176, 458178, 458182, 458188, 458196?
458206
What is the next term in -190, -180, -154, -112?
-54
What comes next: 462, 373, 224, 15, -254, -583?
-972
What comes next: 149, 521, 1147, 2027, 3161, 4549, 6191?
8087
What comes next: -61668, -61669, -61670, -61671, -61672?
-61673
What is next in -75325, -75327, -75331, -75337, -75345, -75355?
-75367
What comes next: 21236, 21226, 21216, 21206, 21196?
21186
What is next in -3838, -3868, -3898, -3928, -3958, -3988?
-4018
What is the next term in 1579, 1 | {
"pile_set_name": "DM Mathematics"
} |
ate the remainder when (0 - 93)/(-3) - 0 is divided by 7.
3
Suppose -5*u - 3 = 12. Let w(n) = -3*n + 2. What is the remainder when 20 is divided by w(u)?
9
Suppose 2*m = -0*a + 5*a + 66, -106 = -4*m - 3*a. Calculate the remainder when 82 is divided by m.
26
Let f be (-2 + 0)/(10/(-25)). Suppose -134 = -f*l - 14. What is the remainder when l is divided by 13?
11
Suppose 0 = 5*b - 13 - 7. Suppose b*w + 4*t = 4, -14 = -2*w - 0*w + 4*t. What is the remainder when (-13)/(-2) + (-2)/(-4) is divided by w?
1
Suppose 4*d = 3*g - 63, 0*g - g + 22 = -d. Suppose -l - g = -6*l. What is the remainder when 17 is divided by l?
2
Suppose 3*i + 7*z - 253 = 3*z, -4*i + 339 = 5*z. What is the remainder when i is divided by 31?
29
Calculate the remainder when (2/(-6))/((-1266)/(-423) - 3) is divided by 5.
2
Let k(b) = 3*b**2 - 11*b - 5. Calculate the remainder when k(7) is divided by 33.
32
Suppose -6*k = -11*k - 10. What is the remainder when -45*(k + (-15)/(-9)) is divided by 6?
3
What is the remainder when 77 is divided by (-4)/(-16) - (-206)/8?
25
Calculate the remainder when (174/(-4))/(18/(-24)) is divided by 15.
13
Suppose 4*f - 2 = -5*d - 0, -5*d - 19 = -3*f. Suppose -4*k + 19 = -f*w, 0*k + 25 = 5*k - 5*w. What is the remainder when 12*k*3/6 is divided by 13?
11
What is the remainder when 30 is divided by 22 + -5 + 2 + -3?
14
Let b = 2 + 3. Let l be (3*2)/(3 + -2). Suppose 2*y - l = -y. Calculate the remainder when b is divided by y.
1
Let n(i) = -i - 8. Let y be n(-6). Let d be (-1 - 1)/(y + 0). Let t = d + 2. Calculate the remainder when 7 is divided by t.
1
Let y(t) = t**2 - 4*t - 2. What is the remainder when y(6) is divided by 6?
4
Let g(h) = h**2 - 11. Suppose 2 = -y - 3*t, -2*t - t + 13 = -2*y. Calculate the remainder when 52 is divided by g(y).
10
What is the remainder when 13 is divided by (-42)/(-10) - 7/35?
1
Suppose 81 = 4*x + 17. Let v be ((13 - 1)/2)/2. Suppose -6 = -v*c + 21. Calculate the remainder when x is divided by c.
7
Suppose -15*c = -10*c - 10. Let g = -8 + 15. Calculate the remainder when g is divided by c.
1
Suppose -16 + 1 = -3*a, -4*a = -2*k + 12. Calculate the remainder when 58 is divided by k.
10
Let w = 5 - 12. Let o(b) = b**3 + 6*b**2 - 8*b - 5. Let x be o(w). Calculate the remainder when 11 is divided by (1/2)/(x/16).
3
Suppose 5*b - 3 = -2*n + 20, 4*b + 116 = 4*n. What is the remainder when 93 is divided by n?
21
Let m = 9 + -3. Suppose -5*i + 9 + m = 0. Let f(w) = w**3 + 14*w**2 - 16*w - 10. Calculate the remainder when f(-15) is divided by i.
2
Suppose 5*b - 65 = -2*j, 4*b + 0*j + 3*j = 45. Calculate the remainder when b is divided by 9.
6
Suppose 0 = q - 3, -4*h - q + 40 = -5*q. Let d(o) = -o**2 + 20*o - 11. Let w be d(8). Let x = -47 + w. What is the remainder when x is divided by h?
12
Let o be (-6)/9*(-9)/2. Let j = 16 - o. Calculate the remainder when 25 is divided by (j/4)/((-2)/(-8)).
12
Let h = 5 + -2. Suppose 2*o - 42 = -o. Suppose -h*c = -6*c, 0 = -2*i + 5*c + o. Calculate the remainder when i is divided by 3.
1
Suppose -2*f - 4*t = -8 - 4, 5*t - 3 = -f. Let x(s) = -15*s + 1. Let u be x(-2). Let m = u - 17. What is the remainder when m is divided by f?
6
Suppose 5*h = 7*h - 14. Let u be 3 - (0/1)/1. Suppose 0 = u*s - 9 - 27. Calculate the remainder when s is divided by h.
5
Let b = 5 + 6. Calculate the remainder when 21 is divided by b.
10
Let p(j) = -j**3 - 4*j**2 + 6*j + 7. Suppose -4*r - s - 23 = 0, s = 2*r - 4*r - 13. Let z be p(r). Let x = z + 17. What is the remainder when x is divided by 7?
5
Let x = -12 - -5. Let d(y) = -10*y**2 - 27*y - 37. Let i(u) = 3*u**2 + 9*u + 12. Let b(k) = -2*d(k) - 7*i(k). Calculate the remainder when b(x) is divided by 3.
1
Let u = 1 - 1. Let r(l) = -l + 33. What is the remainder when r(u) is divided by 17?
16
Suppose -2 = j - f, 4*f - 5 = j + 2*f. What is the remainder when j is divided by 1?
0
Suppose -15 = -j + 4*g, -5*j - 5*g + 40 = -35. Let m(l) = 12*l. Let r be m(1). Let b = 15 + r. What is the remainder when b is divided by j?
12
Suppose -2*x = -0*x + i - 61, 3*x - 3*i = 105. What is the remainder when x is divided by 12?
8
Let q(n) = n**3 + 7*n**2 + 6*n + 5. Calculate the remainder when ((-9)/(-6)*-6)/(3/(-4)) is divided by q(-6).
2
Let t be -3 - (3 + -6 - 3). Suppose 3*w + t = 60. Calculate the remainder when w is divided by 4*(-4)/((-48)/15).
4
Let n = -123 + 219. Calculate the remainder when n is divided by 33.
30
Suppose -3*w + 15 - 48 = 0. Let o = w + 17. Calculate the remainder when 15 is divided by o.
3
Let k(x) = x + 15. What is the remainder when k(-9) is divided by 4?
2
Let o(u) = -u**3 - 5*u**2 - 3*u + 1. Calculate the remainder when 60 is divided by o(-5).
12
Suppose 110 = -5*a + 10*a. Let o = -3 + 15. Calculate the remainder when a is divided by o.
10
Let t = -46 - -64. Suppose -4*o + v = -0*o - 132, -2*v = -2*o + 60. What is the remainder when o is divided by t?
16
Suppose 2*r + 2 = -0*r. What is the remainder when (r/(-3))/((-2)/(-6)) is divided by 1?
0
Suppose -3*h + 3*u + 10 = -h, -5*h + 5*u = -30. Let a = -5 + h. Let q(j) = -j**3 + j**2 + 3*j + 1. What is the remainder when q(-2) is divided by a?
1
Let x be -35 + 2 + -3 + 1. Let w = 99 + x. Suppose 2*m = -2*g + 87 - 19, 0 = -2*g - m + w. Calculate the remainder when g is divided by 16.
14
Let s(v) = -21*v + 8. Calculate the remainder when s(-2) is divided by 17.
16
Suppose 0*y - 2 = 3*t - 2*y, -4*t + 4*y = -4. What is the remainder when 3 + -3 - (0 + t) is divided by 3?
1
Let o(k) = k**3 + 10*k**2 - k + 10. What is the remainder when 58 is divided by o(-10)?
18
Suppose -2*a - 5*x = 2*a - 123, 5*a - 158 = -2*x. What is the remainder when a is divided by 7?
4
Suppose 3*l + 16 = 6*v - 2*v, -3*v + 12 = 3*l. Suppose 9 - 89 = -v*a. Suppose 21 = 4*o - o. What is the remainder when a is divided by o?
6
Let k be (-2 + 0)/(6/(-9)). Suppose 3*u - k*r = r - 14, 2*r - 4 = 3*u. Calculate the remainder when (-29)/(9/(-3) + u) is divided by 15.
14
Let v(k) = -k**3 - 5*k**2 + 6*k + 8. Let s(f) = -2*f - 5. Let r be s(-4). Suppose r*z - 75 = -2*z. Calculate the remainder when z is divided by v(-6).
7
Suppose -6*c = -2*c - 8. What is the remainder when 6/(-12)*(c + -180) is divided by 23?
20
Suppose -11 = q + 5*g, -q + 0*q = 4*g + 6. Suppose 2*j + 4*x - 14 = 0, -5*j + 3*x = 12 + 18. What is the remainder when j/((-3)/25) - -2 is divided by q?
13
What is the remainder when 5/(-15)*-1*6 is divided by 1*(-3 + 1)/(-2)?
0
Suppose 25 = 2*u - 29. Let b = u + -17. Suppose 8 - 20 = -4*g - 2*o, 0 = -5*o - b. Calculate the remainder when 6 is divided by g.
2
Suppose 6*s - 456 = -0*s. What is the remainder when s is divided by 26?
24
Let o = -11 + 11. Let k be (o - 3)/(1 - 2). Calculate the remainder when (2/k)/(6/279) is divided by 17.
14
Let q(u) = 3*u - 1. Calculate the remainder when 14 is divided by q(2).
4
Suppose 170 = 5*r - 20. What is the remainder when r is divided by 10?
8
Let i = -23 - -45. Calculate the remainder when 42 is divided by i.
20
Let i(c) = c**3 - 2*c**2 - 3*c + 2. What is the remainder when 8 is divided by i(3)?
0
Suppose 11*b - 152 = 3*b. Calculate the remainder when b is divided by -3*(0 - (-20)/(-6)).
9
Let k(u) = -6*u - 20. What is the remainder when 78 is divided by k(-6)?
14
Suppose -4*w + w = -q + 16, 0 = 3*q + 4*w + 17. Let n = q - -1. Suppose -14 = -3*x - 2*k, 4*k + 3 = 2*x - 1. What is the remainder when x is divided by n?
0
Suppose -4*o - 741 = -7*o. Suppose v = -2*h + 111, -4*h + 3*v + 0*v + o = 0. What is the remainder when h is divided by 15?
13
Suppose -3*b - 9 = 0, 2*r - 2*b = r + 10. Suppose 4 = 2*n, q - 8 = 5*n - r. What is the remainder when 27 is divided by q?
13
Suppose 3*a = -q + 6*a + 12, -4*q + 2*a = -38. Suppose q*f = 4*f + 40. What is the remainder when f is divided by 2?
0
Suppose -4*g + 0*g = -52. Calculate the remainder when g is divided by 3.
1
Let l = 7 - 5. Suppose 0 = -l*k - 2*i + 16, 0*k - i - 7 = -2*k. Let r(n) = 9*n**2 - 1. What is the remainder when r(-1) is divided by k?
3
Suppose 10*n - 7*n = 9. Suppose k - 63 = -n*k + 3*l, -2*l + 78 = 4*k. Suppose -4*a + 15 = -13. Calculate the remainder when k is divided by a.
4
Suppose -3*b + 3 - 78 = 0. Let l = 35 + b. What is the remainder when 28 is divided by l?
8
What is the remainder when 131 is divided by (-45)/3*(0 - 1)* | {
"pile_set_name": "DM Mathematics"
} |
f**2 + 37 - f**t with respect to f.
-4*f
Differentiate 4*z**4 + 2*z**4 - 9 + 3*z + 57 - 3*z**4 wrt z.
12*z**3 + 3
Suppose -3*o - o = 0. Let p(l) be the first derivative of 0*l + l**2 - 1/4*l**4 + o*l**3 + 1. Find the second derivative of p(k) wrt k.
-6*k
Suppose -b = -2*l, b = 3*b - 2*l - 4. Let k = -1 + b. Find the first derivative of -5*i**2 + 0 + k*i**2 - 3 wrt i.
-4*i
Let j(l) = -3*l**3 + 7*l**2 - 5*l - 5. Let o(c) = -c**3 + 3*c**2 - 2*c - 2. Let u(p) = 6*j(p) - 15*o(p). Find the third derivative of u(x) wrt x.
-18
Let q(h) = -38*h**3 - 8*h**2 + 3*h - 2. Let i(p) = -37*p**3 - 6*p**2 + 2*p - 2. Let a(b) = 4*i(b) - 3*q(b). Find the second derivative of a(n) wrt n.
-204*n
Let l(b) = -2*b - 3 + 5*b**3 - 2*b + 2 - 4*b**2. Let s(y) = y**3 - y**2 - y. Let m(x) = l(x) - 4*s(x). Differentiate m(t) with respect to t.
3*t**2
Let c = 3 - -1. What is the second derivative of 4*v + 2*v**4 - v**c - 5*v**4 - 6*v wrt v?
-48*v**2
Suppose 0 = -2*h + 5*h - 9, 3*n + h = 12. What is the third derivative of 9*l**6 + 6*l**2 - 247*l**3 + 247*l**n wrt l?
1080*l**3
Let y(s) = -5*s**2 + 2. Let a(o) = 4*o**2 - 2. Let x = 4 + -4. Let c = x - 3. Let r(m) = c*y(m) - 4*a(m). What is the derivative of r(z) wrt z?
-2*z
Differentiate -14 + 4 + 2*c**3 + 3*c**3 wrt c.
15*c**2
Suppose v - 1 = 2. Find the third derivative of 5*b**4 + 15*b - 15*b + v*b**2 wrt b.
120*b
Let g(h) be the third derivative of -h**4/4 - h**3/2 - 5*h**2. What is the first derivative of g(l) wrt l?
-6
Let t(d) be the second derivative of 3*d + 0 + 0*d**4 + 0*d**3 + 9/2*d**2 + 1/4*d**5. What is the derivative of t(r) wrt r?
15*r**2
Let h(f) = -15*f + 1. Let a be h(-1). Suppose -4*g = 5*i - 9, a = -7*g + 3*g. Find the third derivative of -2*k**5 + k**2 + 0*k**2 + i*k**5 wrt k.
180*k**2
Let t = 4 - 8. Let a = t + 5. Find the first derivative of -a - 2 + 3*p**4 + 4 - 4 wrt p.
12*p**3
Suppose -3*c = 4*l + l + 100, -5*c - 100 = -5*l. Let b = -17 - c. What is the second derivative of 2*v + 8 - b + v**4 wrt v?
12*v**2
Suppose 0*a + a - 2 = 0. Differentiate t + 10*t**a - 5 - t + 0*t**2 wrt t.
20*t
Let n(w) = 2*w**3 - 2*w**2 + 3*w + 3. Let x(j) = j**3 + j**2 + j + 1. Let r(m) = n(m) - 3*x(m). What is the third derivative of r(z) wrt z?
-6
Let v(b) = -40*b**4 + 4*b**3 + 4*b - 56. Let q(n) = 39*n**4 - 5*n**3 - 5*n + 57. Let j(k) = 4*q(k) + 5*v(k). Differentiate j(r) with respect to r.
-176*r**3
Let f be (-3)/18*-2*3. What is the first derivative of i**3 - 1 - f + 3*i**3 wrt i?
12*i**2
Let l(t) be the third derivative of t**7/30 + 7*t**3/6 + 4*t**2. Differentiate l(o) with respect to o.
28*o**3
What is the first derivative of 0 + 0 - 9*x - 3 - 13 wrt x?
-9
Find the third derivative of -15*c**2 + 4*c**6 + 26*c**2 - 20*c**2 wrt c.
480*c**3
Let s be (2*1)/((-2)/(-5)). Suppose -s*h + 7 = -8. Differentiate 2*l**2 - h*l**2 + 1 - 3 wrt l.
-2*l
Suppose f + 3*n = 7, 1 + 4 = -5*n. What is the third derivative of -1 + 11*m**2 - f*m**2 + 1 + 2*m**3 wrt m?
12
Let h(v) = -v - 9. Let s(r) be the third derivative of -r**3/6 + 2*r**2. Let q(i) = -h(i) + 6*s(i). Differentiate q(n) wrt n.
1
Let l(g) be the first derivative of 16*g**5/5 + 8*g**2 + 17. Find the second derivative of l(p) wrt p.
192*p**2
Let f(x) be the third derivative of -x**5/2 + 5*x**4/6 + 18*x**2. What is the second derivative of f(t) wrt t?
-60
Suppose 0*t - t = -3. Let z = 3 - 0. What is the second derivative of -t*q + q**z - 2*q**3 + q wrt q?
-6*q
Let m(v) = 14*v**3 + 25. Let b(c) = -c**3. Let a(x) = 3*b(x) - m(x). What is the derivative of a(k) wrt k?
-51*k**2
Let k(d) = -d**3 + 2*d**2 + d + 1. Let q be k(2). Let s be 1/q + (-25)/(-15). What is the third derivative of m**3 - m**3 - m**5 - 2*m**s wrt m?
-60*m**2
Suppose -5*o = p - 32, 4*p + 4 - 47 = -3*o. Differentiate 6 + 4*k - p - 2 wrt k.
4
Let d = 153 + -148. Let a(n) be the second derivative of -3/2*n**2 - 1/5*n**d + 0*n**4 + 0 + 0*n**3 - n. Differentiate a(v) with respect to v.
-12*v**2
Let r(o) be the third derivative of 3*o**7/35 - 7*o**5/20 - o**2. What is the third derivative of r(z) wrt z?
432*z
Let x be (4/32)/((-6)/(-4)). Let y(j) be the second derivative of 0*j**3 - x*j**4 + 0 - 2*j + j**2. Differentiate y(i) with respect to i.
-2*i
Let q(v) = -v - 4. Let u be q(-6). Let s = 0 + u. What is the second derivative of -3*x + 0*x**4 + 4*x + s*x**4 wrt x?
24*x**2
Let q(s) = -3*s + 29. Let g be q(9). Let t(p) be the first derivative of 2/3*p**3 + 0*p + 0*p**g + 1 + 1/2*p**4. What is the third derivative of t(v) wrt v?
12
Let w = 0 - 2. Let k(d) = -2*d + 1. Let u be k(w). What is the second derivative of -o - o - o + o**u wrt o?
20*o**3
Let g(x) be the third derivative of -x**8/3360 + x**6/360 + x**5/15 + 3*x**2. Let u(z) be the third derivative of g(z). What is the derivative of u(j) wrt j?
-12*j
Suppose -4*p - 10 - 10 = 0. Let d be (-12)/p - 6/15. What is the second derivative of -d*g + 0*g - g**3 + 0*g wrt g?
-6*g
Let q(y) be the third derivative of 0*y + 1/30*y**6 + 0 + 0*y**4 - 1/10*y**5 + 7*y**2 + 0*y**3. What is the third derivative of q(i) wrt i?
24
Let k(y) be the third derivative of y**8/1680 + y**6/45 + 5*y**3/3 + 4*y**2. Let q(l) be the first derivative of k(l). Find the third derivative of q(m) wrt m.
24*m
Let v(o) be the second derivative of -o**9/1008 + o**5/60 - o**3 + 4*o. Let h(r) be the second derivative of v(r). What is the second derivative of h(b) wrt b?
-60*b**3
Let f(i) be the second derivative of 19*i**6/30 - 13*i**4/12 - 4*i. Find the third derivative of f(y) wrt y.
456*y
Let x(c) be the second derivative of 0 + 5*c + 1/4*c**5 + 0*c**3 + 1/6*c**4 + 0*c**2. What is the third derivative of x(q) wrt q?
30
Suppose -2*c + 3 - 11 = 0. Let d = 6 + c. What is the third derivative of -i**2 - d*i**5 + 0 + 0 wrt i?
-120*i**2
Let s = -15 + 24. Let a(f) = 24*f**2 + 16*f - 9. Let i(w) = 6*w**2 + 4*w - 2. Let y(g) = s*i(g) - 2*a(g). Find the second derivative of y(x) wrt x.
12
Find the second derivative of -10*d + 45*d + 31*d**3 - 9*d**3 wrt d.
132*d
Suppose -v + c = -4, c + 2*c = 5*v - 16. Suppose 0 = 3*s - s - 8. What is the second derivative of g**4 + v*g + 2*g**4 - 4*g**s wrt g?
-12*g**2
Let z(w) be the first derivative of 0*w**4 - 4 + 0*w + 0*w**2 - 2/5*w**5 + 4/3*w**3. What is the third derivative of z(r) wrt r?
-48*r
Suppose -2*o - o + 9 = 0. Differentiate -o*t + 2*t + 7*t + 5 with respect to t.
6
Let i = 1/84 - -13/84. Let s(q) be the second derivative of -4*q + 0*q**2 + 0 + 2/3*q**3 + i*q**4. What is the second derivative of s(h) wrt h?
4
Suppose -6 = -3*v + 9. Find the third derivative of 2*b**4 - 2*b**4 + v*b**6 - 5*b**2 - b**6 wrt b.
480*b**3
Let o(y) = y**2 + 4*y - 3. Let a be o(-5). What is the derivative of a*u**2 + 2*u**2 - 3*u**2 - 2*u**2 + 3 wrt u?
-2*u
Let i(t) = t**3 - 3*t**2 - 5*t + 2. Let s be i(4). Let z be (-1)/((1/s)/1). Find the second derivative of 13*n**2 + 4*n**3 - n - 13*n**z wrt n.
24*n
Let j(u) be the first derivative of 13*u**4/4 - 8*u + 5. Differentiate j(l) with respect to l.
39*l**2
Let p(u) = u**2 - u. Let q(n) = -18*n**4 - n**2 + n + 1. Let v(k) = -p(k) - q(k). Differentiate v(x) with respect to x.
72*x**3
Let l(c) = c**2 - 8*c + 8*c - c**4 + c**3 - 1. Let r(m) = -4*m**4 + 3*m**3 + 6*m**2 - 3. Let b(h) = -3*l(h) + r(h). Find the third derivative of b(f) wrt f.
-24*f
Let l(i) be the third derivative of -i**4/12 + i**3/2 + 6*i**2. What is the first derivative of l(q) wrt q?
-2
Let w(o) be the third derivative of -o**7/35 + 17*o**5/30 + 34*o**2. Find the third derivative of w(v) wrt v.
-144*v
Let n be (-6)/(-4) + 12/8. Suppose v = n*v - 4. Find the second derivative of 0*s - 4*s - s**4 + v*s wrt s.
-12*s**2
Let q(r) = -50*r**3 + r - 7. Let h(v) = -98*v**3 + 2*v - 14. Let m(j) = -3*h(j) + 5*q(j). Find the second derivative of m(a) wrt a.
264*a
Let p(i) be the third derivative of i**7/42 + i**3/2 + 7*i**2. What is the first derivative of p(j) wrt j?
20*j**3
Suppose -p = -0*p. Let d(n) be the second derivative of 0 + p*n**4 - 3*n - 1/2*n**2 - 1/20*n**5 + 0*n**3. Differentiate d(u) wrt u.
-3*u**2
Suppose -z + 4*z = -6, 0 = -4*i - 3*z + 2. Suppose -15 = -4*m + 5*u, -3*u + u = 5*m - 27. What is the third derivative of -x**i + x**m + 4*x**2 - 2*x**2 wrt x?
60*x**2
Let w(i) = -2*i**3 + 7*i**4 - 4*i - 3*i + 2*i**2 + 0 + 5*i + 1. Let h(z) = -z**4 + z**3 - z**2 + z - 1. | {
"pile_set_name": "DM Mathematics"
} |
b
Which is the fourth smallest value? (a) 5/6 (b) -1/6 (c) 2/349 (d) 324
d
What is the fourth smallest value in 132, 0.07519, 1/4, -0.1, -3?
1/4
Which is the fourth smallest value? (a) 0.5 (b) -117/58 (c) 17 (d) 5
c
Which is the fourth smallest value? (a) -4 (b) 7/6 (c) 475 (d) -10 (e) 0.1 (f) 1
f
Which is the second biggest value? (a) 159 (b) -2.6748 (c) 0
c
Which is the biggest value? (a) -0.2 (b) -1494 (c) -27515
a
Which is the fourth biggest value? (a) 54 (b) -0.1 (c) 0.11 (d) 4 (e) -161 (f) 3 (g) 0
c
What is the third biggest value in -3/7, 1, -0.3, -0.2, -7, 20, -294?
-0.2
Which is the third biggest value? (a) 1.4 (b) 2/9 (c) 11/27086 (d) 1/9 (e) -0.4 (f) -1 (g) 3/2
b
What is the fourth biggest value in 45, -87.309, 0.2, 2, 0.4?
0.2
What is the third biggest value in -0.1, -4659, -9, 169?
-9
Which is the third smallest value? (a) 0.01 (b) 0.5 (c) 0.3 (d) -0.1 (e) -1/16 (f) -13.4 (g) -4
d
What is the third smallest value in -91.47, 246/197, 1/2?
246/197
Which is the smallest value? (a) 0.5 (b) 11730.2 (c) 3
a
Which is the third biggest value? (a) -2 (b) -66/257 (c) -1.79
a
Which is the smallest value? (a) -35 (b) -0.2 (c) 67/73
a
What is the fifth biggest value in 21, 0, -0.378, 5, 88, -4, 1/6?
0
Which is the second biggest value? (a) 15/31 (b) -2 (c) 15 (d) 146 (e) 1/5
c
Which is the sixth smallest value? (a) -1/6 (b) 33 (c) 0.1 (d) -3/4 (e) 5 (f) -212
b
Which is the third biggest value? (a) 3221/3 (b) -0.2 (c) 0.05 (d) 5 (e) 2/9 (f) -2/3
e
Which is the second biggest value? (a) 110 (b) 3996 (c) -28
a
What is the fourth biggest value in -5, 0, -2/13, 8, -15, -8, 1/2?
-2/13
Which is the biggest value? (a) -0.2 (b) -1051 (c) 5 (d) 121
d
What is the second biggest value in 2/15, 4601440, -0.5?
2/15
Which is the third smallest value? (a) 1/8 (b) 0.3 (c) 2/13 (d) 13/170 (e) -5 (f) 0.5
a
What is the second smallest value in 2/389, -4/11, 0.4, -71?
-4/11
Which is the third biggest value? (a) 1.74 (b) -0.1 (c) -7 (d) -3/4 (e) -0.17 (f) 0.8 (g) 2/19
g
Which is the second smallest value? (a) 3 (b) 4 (c) 0 (d) -5.7 (e) 79 (f) -3 (g) -5
g
What is the second biggest value in -0.6, -1328/73, -2?
-2
Which is the biggest value? (a) 10/13 (b) -2/5 (c) 3/4 (d) -37
a
Which is the fourth smallest value? (a) 5 (b) 1 (c) -15 (d) 0 (e) 0.32 (f) -0.2 (g) -2.6
d
What is the third biggest value in -1/221119, 2, -7/2, -0.1, 0.3?
-1/221119
What is the third biggest value in -5/2, -3, -0.01343, -1/5, 4?
-1/5
What is the second biggest value in -0.82, 6, 71, 2/3, -0.8, -4?
6
What is the second smallest value in -144, 4, -2, 5/2, 1, 0.266?
-2
What is the second smallest value in -20, 622, 31?
31
Which is the second smallest value? (a) 49609.4 (b) 0.3 (c) 0.2
b
Which is the fourth biggest value? (a) 2 (b) 1 (c) -0.3 (d) 3/5 (e) -1/2 (f) -785/22 (g) -30
c
Which is the second smallest value? (a) 2 (b) -7.4 (c) 1/11 (d) 1/602
d
Which is the biggest value? (a) 0.1 (b) -3545 (c) 14 (d) 7
c
Which is the third smallest value? (a) -5 (b) 25/3 (c) 88049
c
What is the second smallest value in 7, -0.8, -17.749?
-0.8
What is the second biggest value in 6, -2/17, 2/737943, 9/4?
9/4
Which is the second biggest value? (a) -0.2 (b) 334 (c) -2 (d) 5 (e) 1/43 (f) 8
f
Which is the biggest value? (a) -54 (b) -22 (c) -167 (d) 3 (e) 14 (f) 0.4 (g) -0.1
e
What is the fourth smallest value in 1, 585, 67/2, 0.3?
585
What is the second smallest value in -0.43773, 1/8, -5850?
-0.43773
Which is the smallest value? (a) -1/37 (b) -465/2 (c) -2/831
b
What is the third biggest value in -4, -38, -9, 3, -19/2?
-9
Which is the second biggest value? (a) 1/11996756 (b) -0.3 (c) 0.1
a
Which is the fourth smallest value? (a) -269/6 (b) -5 (c) 4 (d) -0.2 (e) 2/23633
e
What is the fourth biggest value in 1, -0.4, 1/9, -1.5, -1/6, -3, -0.71?
-0.4
What is the fourth biggest value in 0.124, 11, 24, -0.03, 8?
0.124
What is the second smallest value in 5, 1/2, -7, 19, -5, -25.79, 1?
-7
What is the second smallest value in -2/5, 4/7, -7, -0.18, 0.4, -3/4, -335?
-7
Which is the smallest value? (a) 12 (b) 332 (c) -60321
c
Which is the biggest value? (a) 0.3 (b) 17 (c) 4/85 (d) 3/5 (e) -3
b
What is the third biggest value in -0.5, 3, -2, 0.4, 24, -4, 796?
3
What is the third smallest value in 3, 0.02, -289, 44, 0.5, 0?
0.02
Which is the second smallest value? (a) 1922529 (b) -13 (c) 2
c
Which is the smallest value? (a) 3 (b) 0 (c) 1/33 (d) -6 (e) 2 (f) -1/40 (g) -0.98
d
Which is the biggest value? (a) 4 (b) -4.1334 (c) -3 (d) -7 (e) 0.4 (f) -4
a
What is the second biggest value in 81/7, -2/3, 63, 112?
63
What is the third biggest value in -5, -633.67, -6.68?
-633.67
What is the second smallest value in -0.9, -12, -798, -1/42, 1/11, -1?
-12
Which is the second smallest value? (a) 2 (b) 2/3 (c) 4238 (d) 0.1 (e) -0.2 (f) -5 (g) -3
g
Which is the sixth biggest value? (a) -0.7 (b) 15 (c) -1/5 (d) 0 (e) -3/56 (f) -1/2
a
What is the fourth smallest value in 1.3, 0.02, -141/5, -4/3?
1.3
Which is the fourth biggest value? (a) -3 (b) -22 (c) -34 (d) 8 (e) -182 (f) 1
b
What is the fourth biggest value in -2, 612308, -50, -0.2?
-50
What is the second biggest value in -18/167, 3/11, 0.1, 18/25?
3/11
What is the third biggest value in 1/5, 5/2, -1.9, 2/43, -175, 0.5, -0.06?
1/5
What is the smallest value in -40552, -4/9, -0.02?
-40552
What is the second smallest value in -4, -5215, 139, -1, -2/7, -5, 1?
-5
Which is the sixth smallest value? (a) 0 (b) -4/3 (c) 570/7 (d) 48 (e) -5 (f) 2.5
c
What is the fifth biggest value in 2, 83, 3/8, 2/13, 10, -0.4, -82?
2/13
Which is the biggest value? (a) 3/5 (b) 6 (c) 0.1 (d) 11 (e) 3 (f) 80302
f
Which is the smallest value? (a) -3/8 (b) -7 (c) 1/2 (d) -3169/10
d
What is the second biggest value in 5, -40.57, -0.03, 83?
5
What is the biggest value in 2/83, 1, 5, -1/64, -3/4?
5
Which is the sixth smallest value? (a) -1/6 (b) 1/5 (c) 4 (d) -4/5 (e) -306 (f) 11.7
f
Which is the third biggest value? (a) -14 (b) -452/3 (c) 3 (d) 0
a
What is the sixth biggest value in -2137, 2/49, 3, 2, -1, -3/4, -2/3?
-1
What is the biggest value in -2/1447, 36/23, -25?
36/23
Which is the smallest value? (a) -9172/9 (b) 39 (c) 1/13
a
Which is the fourth biggest value? (a) -744 (b) 2/11 (c) -1 (d) -212/5
a
Which is the third biggest value? (a) 0.3 (b) -98 (c) -0.1 (d) 2 (e) -5 (f) 0.794
a
Which is the second smallest value? (a) 216 (b) -2 (c) 1578 (d) 1 (e) 2
d
What is the fourth biggest value in -178, 10, -4, -975?
-975
What is the third smallest value in 0.9, -3/148, -145954?
0.9
Which is the third smallest value? (a) -2/23 (b) 1926 (c) 2/51 (d) -0.5
c
Which is the third smallest value? (a) -2/9 (b) 3 (c) 810 (d) -1/4 (e) 0.8 (f) 3/7 (g) -2/13
g
What is the second biggest value in -3/32, -209, 0.0072?
-3/32
What is the second biggest value in -0.1, -30922, 162?
-0.1
Which is the second biggest value? (a) 3 (b) 4 (c) -2 (d) -58 (e) -5 (f) 1/4 (g) -4
a
What is the biggest value in -24, 1.7, 3150/11?
3150/11
What is the third smallest value in -0.5, 0.2, -0.4, -0.12, -27889/5?
-0.4
What is the third smallest value in -0.5, -0.4, -4, 101, 2.6, 12?
-0.4
What is the second biggest value in 37, 1/3, -3887?
1/3
What is the sixth biggest value in 1, 177, -2, 6, 1/4, 2/21?
-2
What is the sixth biggest value in 2, -7, 4, 1/4, -3, 277/4?
-7
What is the second smallest value in -5, -0.3, 1175242/5?
-0.3
What is the sixth smallest value in 0.02, 1, 1/6, 0, -18, 2721?
2721
What is the second smallest value in 1/1190, 4, -291/35?
1/1190
Which is the smallest value? (a) -5 (b) -7916/63299 (c) -0.1
a
Which is the smallest value? (a) 0 (b) -3 (c) -2 (d) -130.1 (e) -2.3
d
What is the fourth smallest value in 0.2011, 0, -3, 0.394?
0.394
What is the third smallest value in -53809388, 1, -0.1, 4?
1
What is the sixth smallest value in -1/4, -3, 1/3, 2, -6, -41, 5/2?
2
Which is the third smallest value? (a) 2/931 (b) -433 (c) -3/11
a
Which is the fourth smallest value? (a) 411/7 (b) -1/9 (c) -9 (d) 5 (e) -4
d
Which is the biggest value? (a) -8 (b) 2/13 (c) 8945487
c | {
"pile_set_name": "DM Mathematics"
} |
pose -3*g = -3*q, -4*q + g + 25 = 2*g. Solve -q*u + 5 = 15 for u.
-2
Let l(p) = -p**3 + 56*p**2 + 179*p + 23. Let f be l(59). Solve -f*n = -135*n + 18 for n.
-3
Let q be -8*(-1 - (-5 - -5)) - 4. Solve q = -2*n + 2 for n.
-1
Suppose 2415*g + 12 = 2421*g. Solve -6 = -g*h - 0 for h.
3
Suppose -4*q = -0*q - 16. Suppose 0 = -4*r - 4*f - 12, -3*f - 10 = q*r - 3. Suppose r*y + 0*y = 8. Solve -2 = -y*l + 3*l for l.
2
Let j(k) = -k**3 - 21*k**2 + k + 19. Let f be j(-21). Let o(b) = 4*b**2 + 3*b + 6. Let p be o(f). Suppose 2*d - 20 = -3*d. Solve -36 = d*x - p for x.
-5
Suppose -4*q + 52 = 4*c, q = -2*q + 5*c + 23. Solve -l + q = 10 for l.
1
Suppose 0 = 4*p - 0*p + 5*l + 8, 0 = 2*p + 5*l + 14. Suppose 34*u + 15 = 39*u. Solve -p = -2*w + u for w.
3
Suppose -4*m = 4*w - 3 + 47, -5*w - 51 = 4*m. Let u = w - -9. Suppose 4*p = 4*h, 0 = -u*p - 5*h + 3*h + 20. Solve 2*l = p*l - 6 for l.
2
Let a = 103 - 101. Let y(t) = 2*t**2 + 2*t - 1. Let l = 0 + -2. Let x be y(l). Solve 0 = x*z - a*z + 2 for z.
-2
Let u be (-2)/(((-130)/(-1730))/(-13)). Solve -u = x - 347 for x.
1
Let w = -19 - -21. Suppose 4*n = -m + 16, 2*n + 3*n = w*m + 33. Solve 0 = -0*t + n*t for t.
0
Let m = -97 + 100. Solve -2*p - m = 1 for p.
-2
Suppose -2*s + 112 = 5*s. Let b be 4/(-6) + s/6. Solve -d + 0*d + b = 0 for d.
2
Let g = -533 - -538. Solve 0 = g*t - 8*t - 15 for t.
-5
Let o = -14 - -20. Suppose -r - 87*r = 7*r. Solve o*f - 3*f + 15 = r for f.
-5
Let g(q) = 4*q + 3 + q**2 - 3*q - 4 + 0*q. Let l be g(-2). Solve -5*m - l - 4 = 0 for m.
-1
Suppose 4*u = 4*k + 44, -5*u + 2*k + 3 = -40. Solve 5 + u = 4*p for p.
3
Suppose 3*s - 4*v = 35 - 12, 0 = -5*s - 5*v + 15. Solve 4 = s*a - a for a.
1
Let v be 175/14 - 2/4. Suppose 2*f + 2*r - v = 0, f - r = -6*r + 22. Suppose f*p = -2 + 6. Solve 5*b = p*b + 3 for b.
1
Let f(t) = -t**3 + 12*t**2 - 9*t - 14. Let h be f(11). Suppose h*i + 3*i = 44. Solve -i*m + 0 = 12 for m.
-3
Let m(a) = -3*a**2 + 69*a + 72. Let x be m(24). Solve x = 2*t + 24 - 24 for t.
0
Let o(m) = -5*m + 5. Let k(z) be the first derivative of -13*z**2 + 24*z + 10. Let q(w) = 3*k(w) - 16*o(w). Let f be q(9). Solve -2*s - f = 3*s for s.
-2
Suppose -2*u = -4*y - 4*u + 6, -y = -u - 9. Let s = -2021 - -2023. Solve s*r = r + y for r.
4
Let b(g) = g**3 + 18*g**2 - 39*g + 23. Let j be b(-20). Suppose 5*f - 2*c + 2 = 0, j*f - 6 + 5 = -c. Solve f = 3*p + p - 20 for p.
5
Suppose 4*s = -20, 32 = -3*i + 5*i - 4*s. Solve i*g - g - 15 = 0 for g.
3
Let t = 195 + -187. Solve -o - 4 = -t for o.
4
Suppose -3*v + 8 = -7. Suppose 0 = l - 3*h + 5, -2*l + 0*h = -h - v. Let b = -3 - -7. Solve -b = l*p - 8 for p.
1
Let s(c) = c**3 + 6*c**2 + 3*c - 5. Let b be s(-4). Suppose -10*o = -b*o - 20. Let v be 45/12 - (-3)/o. Solve -d - 16 = v*d for d.
-4
Let x be (1 + -2)/(1/51) + -3. Let w = x - -57. Solve -w + 6 = -m for m.
-3
Suppose u + 10 = 4*t, 2*u - 3*t + 12 = t. Let c be (u/(-3))/(14/63). Let l be (c/2 + -2)*0. Solve 0 = -s + 4 - l for s.
4
Suppose -2*x = -2*c + 18 + 2, 5*x - c = -30. Let s = -5 - x. Suppose s = -5*i + 5*k - 10, -4 - 2 = i - 2*k. Solve -4*g + i*g + 2 = 0 for g.
1
Let d(x) = -7*x - 5. Let w be d(-2). Suppose -a + w = -0. Solve 5*h = -a - 6 for h.
-3
Let f = 5 + -9. Let s(x) be the third derivative of -x**4/12 - 5*x**3/6 + 25*x**2. Let n be s(f). Solve n*i - 5*i = -10 for i.
5
Suppose 6*s + 11*s - 138 = -6*s. Suppose 3 = -7*r + 4*r, r + 1 = -k. Solve k = -s*i + i - 25 for i.
-5
Suppose 2*c + 15*b - 60 = 20*b, -c + 40 = -5*b. Solve -2*h + c = -6*h for h.
-5
Suppose -q - l - 5 = 0, 4*l = -0*q + 5*q - 20. Solve q*j + 2*j = -6 for j.
-3
Let d = -3 - -9. Let s be 6/d - 1/1. Suppose s = 5*p - p - 12. Solve 0 = -p*b + 4*b - 3 for b.
3
Suppose -4*s + 3*n + 15 = -8, -2*s + 2*n = -12. Suppose -z = s*o - 0*z - 21, 5*z - 21 = -4*o. Solve -o*x - 1 = 3 for x.
-1
Let l(b) = 6*b + 129. Let t be l(-19). Solve 0 = 2*n + n + t for n.
-5
Let p = 573 - 573. Solve p = 7*t + 7 + 7 for t.
-2
Let b be -3 + (-216)/(-126)*(-7)/(-2). Solve -b = 4*q + 1 for q.
-1
Let z(i) = -i**3 - 2*i + 3. Let k be z(0). Let d(h) = -h**2 + 3*h - 2. Let v be d(2). Suppose v*g = -k*g + 3. Solve f + 1 = -g for f.
-2
Let x = -6 - -7. Suppose 0 = -5*w + 2 - 7, -15 = -2*f + 5*w. Solve -f*h - x = 19 for h.
-4
Suppose 40 = 3*j + 5*l + 13, 2*l = -3*j + 27. Suppose q + j = 4*q. Solve -q*u + 2 = 11 for u.
-3
Let q(b) = -4*b + 1. Let r be q(4). Let u be 55/r + 4 + 40/6. Solve 5 = -3*p - u for p.
-4
Suppose -26*u + 660 - 140 = 0. Suppose j - 5 = -0*j. Suppose 2*m - 18 = 3*g, g = -2*m + j*m - u. Solve m - 1 = 5*z for z.
1
Let h = 115 + -75. Suppose -12*r + h = 16. Solve -r = 3*t + 4 for t.
-2
Let w(p) = -9*p**3 + 2*p**2 + 2*p. Let f be w(-1). Let u be (f/((-135)/42))/(4/(-10)). Solve u*h - 9*h = 10 for h.
-5
Let b(y) = 3*y**2 - 4*y - 1. Let f be b(3). Let o be ((-10)/10)/((-1)/f). Let t = 20 - o. Solve k = -2*k - t for k.
-2
Let m be (-17)/(-3) - ((-55)/(-15))/(-11). Solve 4*p + m = 26 for p.
5
Suppose 26*l - 2 = 648. Solve l*k - 15*k + 20 = 0 for k.
-2
Suppose 14*a - 36 = 2*a. Suppose 3*t - 2 = 4*t. Let c be (3/t)/((-9)/24). Solve -a = c*z + 5 for z.
-2
Suppose 55 = 5*v - 2*i, -4*i = v - 2*v + 29. Let p(h) = -h**3 + 8*h**2 + 12*h - 11. Let j be p(v). Solve -4*t + j = -0*t for t.
4
Let t(c) = c**2 - 26*c + 28. Let w be t(25). Solve -w*n - 2 = -n for n.
-1
Let b = -35 + 38. Let j be (4/(-1))/(-3 + -2 + b). Solve u = 3*u + j for u.
-1
Let u be (-3)/(-1) + 1 - (17 - 23). Let q(d) = d**3 - 8*d**2 - 22*d + 21. Let k be q(u). Solve j - 1 = k for j.
2
Let w be 12 + -2 + 2 - (-13)/(-13). Solve 7*x - w*x - 12 = 0 for x.
-3
Let y be (-4)/(-20)*5 + 1. Let x be (8/4)/y*4. Suppose 4*q - x - 4 = 0. Solve -5*n = -q*n - 15 for n.
5
Let n(b) = b**3 + 2*b**2 - 16*b. Suppose -2*q = 5*k + 10 - 0, 0 = 4*k. Let w be n(q). Solve 0 = -w*v + 11 + 14 for v.
5
Let w = 11 + -8. Let z(u) = -u**2 - 12 - 17 + 24 + 10*u. Let o be z(9). Solve -o*x = -3*x - w for x.
3
Suppose 0*o = o - 3*o. Suppose o = -i - 4*i. Solve i*v - 4*v - 20 = 0 for v.
-5
Suppose 3*v - 3*g + g = -94, -4*g = -v - 28. Let h = v - -33. Solve -h = a + 4 for a.
-5
Suppose h - 6 = -5*z + 8, -3*h + 3 = 2*z. Solve -z*q + 5 = 2*q for q.
1
Let k be ((-65)/(-26))/(1/42). Solve 110 = -t + k for t.
-5
Suppose -7 = -8*k + 5*k - 5*t, 1 = k + 3*t. Solve 0*s + 20 = -k*s for s.
-5
Let a(w) be the third derivative of w**5/60 - 2*w**4/3 - 13*w**3/6 + 6*w**2. Let v be a(17). Let d be 0 + 0 + 3 + v. Solve -d + 4 = g for g.
-3
Let r be (29 - 16)/((-1)/(-2) + 0). Suppose -7*g - 5 = -r. Solve 0 = g*o - o for o.
0
Let d(r) = 2*r**3 + 11*r**2 + 21*r + 16. Let s(g) = -3*g**3 - 17*g**2 - 32*g - 24. Let y(t) = -7*d(t) - 5*s(t). Let l be y(-6). Solve -2*o - 4 = l for o.
-3
Let s be (1/(-3))/(6/(-72)). Suppose -t + 3*f - 8 = 0, 0*t + s*f = -4*t + 32. Solve -6*k + 8 = -t*k for k.
4
Let w(t) = 2*t**2 + 42*t + 79. Let k be w(-19). Suppose 2*h + 10 = 4*h. Solve 22 = -h*f - k for f.
-5
Suppose 0 = 4*r - 7*r - 4*s + 119, -r = -3*s - 31. Suppose 2*n + 0*n - 6 = 0, -r = 2*t + 5*n. Let w = t - -26. Solve w = -d + 4*d - 15 for d.
5
Let w(u) = -u**2 - 7*u - 6. Let z be w(-5). Suppose z = -4*x - 4*m, 3*x - 6*x + 2*m + 22 = 0. Solve -x = -3*l + 5 for l.
3
Let o(b) = b**2 + 32*b + 50. Let r be o(-31). Solve 41 + r = -12*v for v.
-5
Let c(s) = s**2 - 30*s + 223. Let b be c(13). Suppose 0*k = -3*m + 3*k - 9, -23 = 3*m + 4*k. Let w = -2 - m. Solve -v - b*v = w for v.
-1
Let y(t) = t**3 + 14*t**2 - 5*t - 68. Let n be y(-14). Solve -n = -0*j - j for j.
2
Let d(h) = -2 - 12*h**3 - 3 - 12*h**3 - 2*h**2 + 23*h**3 - 5*h. Let v be d(-2). Solve -n = -2*n - v for n.
-5
Let l(y) = -y**3 - y**2 - y + 3. Let t be l(0). Suppose 2*v - 6 = 2*o, -7 + 1 = -t*v. Let p be (4 - 5)*2/o. Solve -3*n + p = 17 for n.
-5
Let c be 9/(-6) - 6/(-4). Suppose 4*d - 4 + c = 0. Let p = 3 - d. Solve 0 = -p*n + 3*n - 1 for n.
1
Let c = 57 - 53. Let q = 21 - 15. Suppose j + q = 4*j. Solve -c*k + j*k = 0 for k.
0
Let c = 63 - 38. Suppose -11*n + 8 = -c. Solve 15 = n*q + 2*q for q.
3
Let u be (-138)/4*(104/(-12) - -8). Let x = -35 - -23. Let h be 3 - (x/(-4) - 2). Solve 5*t - h = u for t.
5
Suppose 4*y - 6334 = -6302. Suppose -2 = 2*u, 2 = -0*q + 3*q + 4*u. Solve y = q*w + 4 for w.
2
Suppose 0 = -4*g - 16, 11*g - 9*g + 77 = 3*i. Solve 7*t - 12 = i for t.
5
Suppose -19*m = 5*m - 96. Solve 0*v - v | {
"pile_set_name": "DM Mathematics"
} |
What is (2*2/60)/(14/35)?
1/6
What is the value of ((-1)/(-14)*10)/((-170)/1190)?
-5
Calculate (-2)/(-10*1/6*-6).
-1/5
What is (-2)/((6/(-28))/(3/(-7)))?
-4
What is (6/(-2))/((405/6)/(-9))?
2/5
What is 1/(4/30)*(-44)/(-110)?
3
What is the value of 3/(((-18)/21)/((-2)/7))?
1
What is the value of (2/15)/((-29)/87)?
-2/5
Evaluate (((-60)/8)/(-5))/3.
1/2
Evaluate (3/5)/(2/(10/(-1))).
-3
Evaluate 18/15*5/30*-20.
-4
Evaluate (0/((-12)/(-3)))/(60/(-15)).
0
Evaluate 42/189*3*3.
2
What is the value of 18*(-11)/(792/16)?
-4
Calculate (8/(-24))/((-2)/(-12)*3).
-2/3
((-30)/(-450))/(2/10)
1/3
(-18)/(90/10)*-4
8
Calculate 826/(-295)*10/(-4).
7
0/1*(-9)/18
0
What is 30/(-6)*176/110?
-8
What is the value of (-98)/14*18/(-21)?
6
Calculate (-90)/6*8/20.
-6
Evaluate (-1)/4*(-24)/(-2).
-3
0*2/(-4)*(-20)/10
0
What is the value of (-9)/4*(-4)/3?
3
Evaluate (207/(-460))/(3/5).
-3/4
Evaluate 36/12*(-6)/(-54).
1/3
What is the value of 24/28*(-231)/33?
-6
5*(-2*(-3)/18)/5
1/3
Calculate ((-55)/(-297))/(((-50)/(-12))/5).
2/9
Evaluate (-6)/27*18/2.
-2
What is the value of (2*4/40)/((-8)/5)?
-1/8
((-176)/484)/(3/(-33))
4
Evaluate (-10)/(-40)*20*(-12)/20.
-3
What is the value of -6*4/((-300)/5)?
2/5
Calculate (224/(-140))/((-2)/(-5)).
-4
Calculate (-30)/18*6/(-5).
2
(-13)/260*-20*4/(-18)
-2/9
(-5)/(-40)*-4*0/(-4)
0
Calculate ((-3)/1)/(132/352).
-8
What is the value of 2/35*-10*1/2?
-2/7
What is (15/(-14))/(-15)*-2?
-1/7
(-9)/(-3)*(24/(-3))/8
-3
What is (-36)/176*(-56)/21?
6/11
What is 20/(-25)*((-1)/4)/1?
1/5
Calculate (-7)/(63/6)*18/4.
-3
What is the value of 3/6*-2*-5?
5
Calculate -6*(4/228)/1.
-2/19
Evaluate ((-8)/12)/((-110)/55).
1/3
((-2)/(-8))/((66/(-36))/(-11))
3/2
What is the value of ((-48)/88)/(2/(-11))?
3
What is (3/(6/(-2)))/(1/8)?
-8
Evaluate (10/20)/((-2)/12).
-3
What is the value of (30/5)/((-57)/(-38))?
4
Evaluate (4/16*0)/(-1).
0
(-180)/(-270)*1/((-2)/(-15))
5
Evaluate ((-36)/(-42))/(2*(-1)/(-1)).
3/7
Evaluate (-2)/(-5)*130/(-286).
-2/11
Calculate ((-75)/(-4))/(-15)*-4.
5
What is the value of -1*(-1*3)/(21/(-28))?
-4
Evaluate ((-2)/(-44))/(1*(-19)/76).
-2/11
What is 2/(((-3)/(-24))/((-5)/(-20)))?
4
0/(2/(-1))*(-217)/217
0
Calculate (-36)/210*14/18.
-2/15
Evaluate (6/(-75))/((-2)/(-10)).
-2/5
423/(-1034)*(-4)/9
2/11
What is the value of (-52)/6*2892/(-3133)?
8
Calculate 2/((-16)/12)*2.
-3
What is the value of ((-10)/4)/(15/(-12))?
2
((2*-4)/(-4))/(7/2)
4/7
Calculate 1*-8*(-7)/49*-7.
-8
What is the value of 6*(1/(-6))/(33/99)?
-3
What is 20/16*(-38)/475?
-1/10
(-4)/(((-56)/(-98))/((-6)/7))
6
What is the value of (-3)/9*(153/(-8))/(-17)?
-3/8
Calculate (136/20)/17*10*1.
4
Evaluate 5*(-10)/((-120)/(-12)).
-5
Evaluate 9/3*2*3/(-9).
-2
Evaluate ((-56)/((-28)/(-2)))/6.
-2/3
What is the value of 8*6/72*6/(-4)?
-1
Calculate 9*40/144*(-2)/60.
-1/12
What is (-2)/1*((-10)/4)/(-5)?
-1
What is the value of 15/(-10)*(-4)/3?
2
1/1*(-9)/45
-1/5
(3/6*6)/(2*3)
1/2
What is the value of 16/(-14)*153/(-408)?
3/7
What is ((-1435)/(-1722))/((-1)/(-6))?
5
Calculate -4*(-3)/12*1.
1
(-1)/(6/(-8)*-4)
-1/3
(1/3*6)/(2/(-5))
-5
What is (-6)/(-2)*4*(-42)/72?
-7
Calculate (60/(-8))/5*(-70)/(-21).
-5
-5*2*(-13)/195
2/3
Calculate ((-16)/36)/((-6)/18).
4/3
What is the value of -1*(-3)/6*-10?
-5
(-3)/(-9)*(-12)/8*-6
3
Evaluate (-9)/5*47/(-282).
3/10
Evaluate (110/66)/(10/4).
2/3
Evaluate (-8)/(-48)*-10*(-27)/(-18).
-5/2
Calculate ((-2)/5)/((-97)/(-97)).
-2/5
Evaluate (39/(-13))/((-21)/(-7)).
-1
Calculate (-8)/(-6)*(-99)/(-44).
3
Calculate 2/6*(-38)/(-95).
2/15
What is the value of (-60)/204*4*2/20?
-2/17
What is the value of ((-1)/(-3))/(1/9)?
3
Evaluate 2*(-5)/10*1.
-1
Calculate (20*(-4)/(-16))/1.
5
Calculate (-4)/10*10/(-38).
2/19
What is (-3*2/(-18))/((-10)/(-120))?
4
What is ((-4)/(-3))/((-21)/((-630)/20))?
2
Calculate 2*2*5/(-40)*2.
-1
(1*-3)/(((-36)/16)/3)
4
((-9)/42)/(-2*36/(-32))
-2/21
What is (-7)/(-10)*(-432)/252?
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((-481)/(-26))/(-37)*14/(-1)
7
Calculate (8/8)/(33/6).
2/11
(-19)/(-57)*1/((-2)/(-9))
3/2
What is (-3*1/1)/((-111)/(-148))?
-4
2/(((-1)/15)/(4/(-24)))
5
2/(-4)*0/1
0
What is (-4)/(-1)*10/(-20)?
-2
What is 2*4/16*0/(-1)?
0
2619/(-194)*(-4)/(-6)
-9
Calculate (40/(-16))/(1/2).
-5
Calculate ((-114)/(-76))/((-21)/4).
-2/7
1*((-7)/((-175)/(-20)))/(-4)
1/5
1/(-2)*22/11
-1
Calculate 30/(-54)*24/30.
-4/9
((-24)/18)/(10/60)
-8
What is (120/96)/(5/(-20))?
-5
What is (1/(6/(-9)))/(1/(-2))?
3
What is ((-9)/(-12))/((-7)/((-35)/15))?
1/4
Calculate (30*(-8)/(-576))/(4/12).
5/4
What is (-8)/(((-81)/(-9))/9)?
-8
Calculate 10/(-4)*-20*11/(-3025).
-2/11
(-10)/(-4)*(99/90)/(-11)
-1/4
What is 6/(7*(-12)/(-28))?
2
Evaluate ((-5)/(-15))/((-2)/(-48)*-4).
-2
Calculate ((-5)/(-3))/((16/(-6))/(-8)).
5
2*(-1)/4*4/(-8)
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What is 25/(-50)*1/(-2)?
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What is (-1)/5*(-55)/66?
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((-2)/(-55))/(((-1)/(-5))/1)
2/11
Calculate (-30)/3*(-36)/(-45).
-8
(-3)/1*(-20)/(-30)
-2
Evaluate ((-10)/150)/((-1)/9).
3/5
What is the value of 1*-5*28*3/60?
-7
What is the value of 8/((18/9)/(1/(-1)))?
-4
((5/(-3))/5)/((-4)/(-12))
-1
(-4*(-7)/(-35))/((-4)/(-10))
-2
What is the value of -2*((-12)/9)/((-6)/9)?
-4
Evaluate (2*(-33)/(-55))/(4/(-10)).
-3
Evaluate 5/(-5)*(-46)/(-437).
-2/19
Calculate ((3/(-5))/3)/(7/14).
-2/5
(28/(-21))/((-10)/(-30))
-4
What is the value of ((-24)/(-21))/(-1)*(-10)/40?
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Calculate 54/(-12)*(-6)/9.
3
-2*(-3)/6*4/34
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What is (-4)/(12/(-27)*3)?
3
What is ((-6)/25)/(3033/(-1685))?
2/15
What is (0/(-3)*(-1)/(-1))/(-1)?
0
(-4)/((-16)/(-2))*2*5
-5
What is ((-20)/(-10)*1)/(2/(-4))?
-4
What is (-5)/((3/15)/((-3)/(-15)))?
-5
What is the value of (51/85)/((-2)/10)?
-3
Calculate (-814)/(-148)*(-10)/(-11).
5
What is the value of (-21)/(-6)*(-4)/21*-3?
2
What is 16/(-150)*(-2)/(-16)*6?
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Calculate (42/63)/((-5)/(-3)).
2/5
What is 78/39*1/((-4)/(-10))?
5
Evaluate (3/((-3)/(-2)))/1.
2
(12/126*7)/(40/15)
1/4
Calculate 20/2*104/(-780).
-4/3
What is the value of (1/(-9))/(5*8/(-60))?
1/6
What is (12/(-10))/(5/((-50)/(-4)))?
-3
Evaluate ((-1)/7)/((-49)/686).
2
(9/(-180)*4)/1
-1/5
((-28)/(-98))/((-8)/(-308))
11
Calculate ((-2688)/(-640))/((12/(-10))/(-2)).
7
What is 1/(-5)*(-15)/(-5)?
-3/5
What is the value of (1*6/(-15))/(-2*1)?
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Evaluate ((-14)/6*-3)/(12/12).
7
Evaluate ((12/9)/2)/((-6)/45).
-5
What is the value of (-21)/(-77)*(-4)/(-6)?
2/11
What is -4*((-2)/(-4))/((-2)/(-4))?
-4
What is the value of (3*1/(-1))/((-36)/8)?
2/3
Evaluate (-15)/(-50)*(-4)/(-3).
2/5
Calculate (18/(-45))/(9/15).
-2/3
Evaluate 12/72*0/(-6).
0
Evaluate 5/5*(-7)/7*-1.
1
(-33*(-11)/484)/((-1)/4)
-3
What is the value of (-16*5/(-320))/(1/36)?
9
Evaluate (-1)/(3/3*-1).
1
(-6)/(-17)*3/(-9)
-2/17
((-8)/(-12))/(5*(-2)/15)
-1
((-2)/2)/(((-21)/7)/(-3))
-1
What is (-4)/(8/3)*(-8)/8?
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Calculate 410/(-246)*(-6)/50*-3.
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Evaluate ((-13)/39)/(1/18).
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Evaluate 13/130*-8*2/(-4).
2/5
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Calculate (-3)/6*11*2/22.
-1/2
(21/(-210))/(2/((-16)/2))
2/5
What is the value of 12/4*((-21)/7)/(-9)?
1
What is (-2)/(-30)*(-15)/(-10)?
1/10
Calculate ((-30)/25)/(7/35).
-6
Calculate ((2/8*6)/2)/(-3).
-1/4
(-20)/22*4/(-20)
2/11
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-2
Calculate (0/(3/(-1)))/((-12)/(-12)).
0
What is ((5/(-25))/((-1)/(-1)))/1?
-1/5
(-1)/(5*3/(-45))
3
Calculate (84/(-7))/((-3)/(-15)*10).
-6
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-6
Evaluate 10/(-35)*8/(-12)*21.
4
(-1)/(-18)*(-88)/11
-4/9
What is -2*9/(-720)*-5?
-1/8
Evaluate ((-18)/(-3))/(-2)*1.
-3
Calculate (3/15)/(-5*(-4)/100).
1
What is (3/(-2))/(1/((-4)/(-24)))?
-1/4
What is (-15)/(-3)*(-28)/(-35)?
4
Evaluate ((-28)/7*(-1)/(-5))/2.
-2/5
80/(-48)*(-3)/(-1)
-5
Calculate ((-10)/(-6))/((-60)/216*-2).
3
(-2*1/(-66))/(7/42)
2/11
Calculate 234/273*3/((-6)/(-14)).
6
What is ((-28)/49)/(52/(-14))?
2/13
What is (-14)/(-2)*(-320)/(-448)?
5
What is the value of ((-3)/(54/(-12)))/(2/15)?
5
What is the value of (-3)/((-19)/(38/9))?
2/3
What is the value of (8/10)/(2/5*-1)?
-2
Calculate (((-3)/3)/4)/((-6)/(-4)).
-1/6
Calculate -5*1/(-15)*-2.
-2/3
What is (15/(-10))/(1/2)?
-3
Calculate (-140)/(-42)*2/4.
5/3
Calculate 2/(-6)*(-170)/34.
5/3
Evaluate ((-145)/(-870))/(-1*2).
-1/12
Calculate -1*78/195*15/2.
-3
Evaluate (-5)/(20/16)*(-110)/88.
5
What is (100/125)/(2/(-5))?
-2
What is (2/((-30)/(-1)))/(8/(-16))?
-2/15
What is the value of 5/2*15/((- | {
"pile_set_name": "DM Mathematics"
} |
ivided by 18?
15
Suppose -5*g + 8*g - b = 2272, 3*g - 2*b = 2267. Let k = 789 - g. Calculate the remainder when 149 is divided by k.
29
Suppose 5*c + 3080 = 3*g, 8*g - 5*g = -5*c + 3070. What is the remainder when g is divided by 20?
5
Suppose 61 = 14*l + 5. Let h(i) = 0 - 43*i**2 - l + 8 - i + 44*i**2. Calculate the remainder when 76 is divided by h(-3).
12
Suppose -2*p + 4*l = -444, -4*l = 3 - 19. Calculate the remainder when 445 is divided by p.
215
Suppose -2*v + 59 = 1. Suppose q = 3*m - 34, v = 3*m + 2*q + 2*q. Suppose -m*t = -7*t - 16. What is the remainder when 15 is divided by t?
3
Let n(m) = -m**2 - 292*m - 5919. Suppose 5*f = -25, o - 3*f + 2*f - 61 = 0. Calculate the remainder when o is divided by n(-22).
14
Let k = -6565 - -7217. Calculate the remainder when k is divided by 162.
4
Suppose -2879 = 13*p - 11277. Calculate the remainder when p is divided by 54.
52
Let b(o) = -2*o**3 - 26*o**2 + 3*o - 12. Let d be b(-13). Let w = 94 + d. What is the remainder when 214 is divided by w?
42
Suppose 14*w = 164 + 13 - 9. Calculate the remainder when 320 is divided by w.
8
Suppose -4*a = -3*a - 255. Let f = a - 230. Suppose 0*q + 3*q - 30 = 0. Calculate the remainder when f is divided by q.
5
What is the remainder when (1 - 0)*121*1 is divided by 20*(-5)/(-70)*(-8820)/(-504)?
21
Suppose -4*l + 3*l + 16 = 0. What is the remainder when (1972/153 + 8/18)*192/160 is divided by l?
0
Calculate the remainder when 335 is divided by -1*15*5876/(-565).
23
Let m = 120 + -84. Let k = 52 - m. Calculate the remainder when 109 is divided by k.
13
Let z = 11297 + -9131. Calculate the remainder when z is divided by 144.
6
Suppose 0 = 5*m + 7374 - 7539. Calculate the remainder when 1714 is divided by m.
31
Let g = -2 - -28. Suppose -c + 2*z + 13 = 0, -15 = 3*c + 5*z + 1. Suppose 3*u = -c + 30. What is the remainder when g is divided by u?
8
Let w be 19 - 8 - (2 - -5). Suppose 40*i - 36*i - 5*b = 123, w*i = -5*b + 173. Calculate the remainder when 71 is divided by i.
34
Suppose -5 = 5*s, -5*s = 117*r - 122*r + 125. Calculate the remainder when 654 is divided by r.
6
Let p(a) = a**3 + 4*a**2 - 267*a + 72. What is the remainder when p(17) is divided by 35?
27
Suppose 0 = -2*q - 8*w + 12*w - 20, 5*w - 25 = -3*q. Suppose q = -8*k + 84 + 132. Calculate the remainder when 184 is divided by k.
22
Let u = -4266 - -4381. Calculate the remainder when 355 is divided by u.
10
Let r(s) = 11 + 3*s**3 + 11*s**2 + 3*s**3 - 7*s**3. Let m(b) = 4*b**3 + b**2 - 3*b + 2. Calculate the remainder when m(2) is divided by r(11).
10
Let i = 7623 - 7571. What is the remainder when i is divided by 16?
4
Let o be (12/18)/((-28)/(-12) - 2). Calculate the remainder when -4 + 150 + (o - -2) is divided by 14.
10
Let x = 141 - 139. Calculate the remainder when 88 is divided by x/(-7) - 815/(-35).
19
What is the remainder when ((-98)/(-147))/(1/2736) is divided by 83?
81
Let r(m) = 1034*m + 2829. What is the remainder when r(-2) is divided by 28?
5
Let c = -50 + 110. Suppose -2*a = -8*a - c. Calculate the remainder when 54 is divided by (-6)/(-9)*(-6)/(-4) - a.
10
Let f = 5733 - 3829. Calculate the remainder when f is divided by 159.
155
Let g = -158219 + 158283. Let j(x) = x**3 + 10*x**2 + 5*x + 3. Calculate the remainder when g is divided by j(-9).
25
Let z(h) = -28*h + 303. Suppose -4*l + 5*o + 41 = 0, -17 = -2*l - o - 0. What is the remainder when 110 is divided by z(l)?
8
Let v = -9946 - -10076. What is the remainder when 546 is divided by v?
26
Suppose -2*m - 30 = -3*u, 39 - 9 = 3*u - 4*m. Let g be (-6)/(-33) - (-210)/(-66). Calculate the remainder when 1/(-4 - g)*-29 is divided by u.
9
Suppose 0 = -35*v + 78*v - 23*v - 340. Calculate the remainder when 680 is divided by v.
0
Let g(y) = y**2 + 4*y - 1. Let i(o) = -7*o**2 + o + 1. Let x be i(1). Let b be g(x). Calculate the remainder when 4 is divided by ((-20)/b - -3)*-1.
0
Let v = 13686 - 11105. What is the remainder when v is divided by 41?
39
Suppose 116*n - 120*n - 5*b + 2535 = 0, -4*b + 1902 = 3*n. What is the remainder when n is divided by 78?
6
Let l(f) = f**3 - 6*f**2 - 10*f - 30. Let t be l(10). Let y = -182 + t. What is the remainder when y is divided by 18?
16
Suppose 17077 = 215*k + 5467. What is the remainder when 260 is divided by k?
44
Suppose 2*k - 16 = 4*n + 46, -2*k - 5*n = -71. Calculate the remainder when 99 is divided by k.
0
Suppose 2*g = 2*n + 96 + 332, 0 = 2*g + 6*n - 484. Calculate the remainder when 262 is divided by g.
41
Let o(f) = 13*f**2 - 9*f - 52. What is the remainder when o(-5) is divided by 80?
78
Suppose -7*o = -47*o + 29520. Calculate the remainder when o is divided by 74.
72
Let x(l) = l**2 + 45*l + 5. Let z be x(-45). Suppose 6*c - 100 = c + 4*o, -z*c - 3*o + 135 = 0. What is the remainder when 114 is divided by c?
18
Suppose 4635 = 147*n - 44*n. Let o = 6 - 5. Calculate the remainder when o*87*1 + 0 is divided by n.
42
Suppose 5*v + 487*w = 482*w + 1395, -v - 5*w + 307 = 0. What is the remainder when 827 is divided by v?
11
What is the remainder when 6813 is divided by 58/290 + (-395)/(-25)?
13
Let j = 123 - 119. Suppose 157 = 4*u + 5*d, 113 = -u + j*u - d. What is the remainder when u is divided by 8?
6
Let z(w) = -46*w - 1320. Let c = -253 - -361. Suppose -3*v = -6*v + c. Calculate the remainder when v is divided by z(-29).
8
Suppose -194 = -2*w + 4*t, 4*t + 103 = 5*w - 4*w. Suppose -5445 = 10*p - 15*p. Calculate the remainder when p is divided by w.
88
Let y(o) = 3*o**2 + 9*o + 12. Let t be 10/(-75) + 219/(-45). What is the remainder when y(t) is divided by 30?
12
Let j = -23181 - -28286. What is the remainder when j is divided by 111?
110
Let i(t) = 7*t - 96. Suppose 217 = 12*n + 25. What is the remainder when 30 is divided by i(n)?
14
Let g be 1*(7 + (-3)/1). Suppose g*o = -5*j + 160, 2*j - 78 = 3*o - 5*o. Calculate the remainder when 54 is divided by o.
19
Let u be ((-1)/(-2))/((-6)/(-264)). Suppose -3*p = -2*c + 7, -28 = -5*c + p + u. What is the remainder when ((-624)/(-60))/(2/10) is divided by c?
8
Suppose 2*w + h - 1813 = 2*h, -4*w - 3*h + 3601 = 0. Suppose 64 = -20*b + w. What is the remainder when 249 is divided by b?
39
Let x = 23 - -72. Suppose 0*t - 5*t + 140 = -4*y, -10 = 2*y. What is the remainder when x is divided by t?
23
Let n = -2760 - -1680. Let f = 60 + 18. What is the remainder when 53 is divided by (-4)/(-26) - n/f?
11
Suppose 22*x + 633 = 2*x + 1993. Calculate the remainder when 1087 is divided by x.
67
Let p(v) = -45*v + 171. What is the remainder when p(-13) is divided by 190?
186
Suppose 5*h - 31 = -d + 28, 4*h - 3*d - 32 = 0. Suppose -407 = -h*c + 132. Calculate the remainder when c is divided by 16.
1
Suppose -3*f = -22 + 19. Let y be (f/(4/180))/(4/12). Suppose 16 = -17*g + y. What is the remainder when 26 is divided by g?
5
Let j(t) = -964*t + 2283. Calculate the remainder when 1790 is divided by j(2).
15
Suppose 0 = -g + 39 - 14. Suppose 205*y - 12484 = -2890 + 5576. Calculate the remainder when y is divided by g.
24
Let s(j) = j**3 - 127*j**2 + 138*j - 1360. Calculate the remainder when 1058 is divided by s(126).
146
Suppose 2*w - 4*w = 2*p - 38, w - 73 = -4*p. Let x(y) = y + 38. Let n be x(p). Let u = 70 - n. Calculate the remainder when 26 is divided by u.
12
Suppose 0 = -25*g + 694 + 1374 + 357. Calculate the remainder when 1458 is divided by g.
3
Let s(d) = 15*d**3 - 8*d**2 + d + 15. Let j be s(-3). Let l = 525 + j. What is the remainder when 839 is divided by l?
59
Let q(z) = -3*z + 85. Let w(l) = 4*l - 85. Let v(d) = 3*q(d) + 4*w(d). Calculate the remainder when v(21) is divided by 17.
11
Calculate the remainder when (-6)/((-48)/16504)*3/9*6 is divided by 51.
46
Suppose -3*k - 5*o - 16 = 0, 0*o + 25 = -5*o. Suppose 3*j + 39 = -k*u, -2*u - 5*j - 2 = -4*u. Let n = u - -76. Calculate the remainder when n is divided by 23.
21
Suppose 0*x = 5*x + 2*z + 2620, -2*z = -3*x - 1556. Let o be ((-1)/(-2)*1)/((-9)/x). Let a = o - 21. Calculate the remainder when 29 is divided by a.
5
Suppose -2*l = -6*l - 88. Let u = 85 - 86. Let o = u - l. Calculate the remainder when 80 is divided by o.
17
Suppose -4*w + 2975 = 3*f, -f + 515 = 4*w - 498. What is the remainder when f is divided by 115?
61
Suppose -6*i + 3*i - 5*t + 374 = 0, -3*i + 342 = -3*t. What is the remainder | {
"pile_set_name": "DM Mathematics"
} |
wrt y?
48
What is the first derivative of 91*l**2 + 31 - 6 + 29 + 14 wrt l?
182*l
Let i(n) be the first derivative of 5/2*n**4 - 9/2*n**2 + 0*n**3 + 0*n + 13. Find the second derivative of i(w) wrt w.
60*w
Find the third derivative of 15*r**2 + 132*r - r**5 + 126*r + 131*r + 2*r**5 - 35*r**4 - 392*r wrt r.
60*r**2 - 840*r
Let o(r) = 2*r**2 + 17*r - 6. Let n be o(-9). Find the third derivative of 8*p**n - 5*p**2 + 5*p**2 - 6*p**2 wrt p.
48
Suppose b = 2*j - 7, -4*b = 2*j - 7 - 15. What is the third derivative of 4*t**3 + 19*t**2 - 28*t**2 - 20*t**4 - 4*t**b wrt t?
-480*t
Suppose 2*n = -2*n - 4. Let s = 4 + n. Find the second derivative of -c + c + 11*c**s - c - 8*c**3 wrt c.
18*c
Let j(r) be the third derivative of -91*r**4/24 + 200*r**3/3 + 383*r**2. What is the derivative of j(i) wrt i?
-91
Let k(n) = 12*n + 8 + 8 - n**2 + 0. Let q be k(13). Find the third derivative of 4*s**3 - s**2 - q*s**2 + s**3 wrt s.
30
Let p be 2/(-5*(-8)/220). What is the derivative of -p - 24*t + 19 + 15 wrt t?
-24
Let q(f) = 705*f**4 + 7*f**3 + 42*f**2 + 12. Let t(x) = 352*x**4 + 4*x**3 + 20*x**2 + 7. Let k(d) = -3*q(d) + 5*t(d). Find the third derivative of k(y) wrt y.
-8520*y - 6
Let s be (24/(-14))/((-6)/756). Let u be s/99 + 4/(-22). Find the first derivative of 1 + 4 + d**4 + u*d**4 + 0 wrt d.
12*d**3
Suppose 34 = 3*p - 20. Suppose -z + 11 = 4*t, 4*t - t + 4*z = p. Find the third derivative of -4*f**t - 16*f**6 - 3 + 3 + 14*f**6 wrt f.
-240*f**3
Let o = -43 - -173/4. Let h(b) be the first derivative of 2*b + 0*b**3 + 3 + 0*b**2 - o*b**4. Differentiate h(i) wrt i.
-3*i**2
Let q(n) be the third derivative of -n**4/8 - n**3/6 - 4*n**2. Let b be q(-1). Find the third derivative of 7*c**5 + 2*c**5 - 4*c**5 - 3*c**b wrt c.
300*c**2
Suppose -3*t + 15 = 2*t. Let w be 5/(-15) - (-16)/t. Find the first derivative of -w + 3 - 3*g - 5 + 2 wrt g.
-3
Let f(w) = w + 12. Let q be f(-8). Let j = 6 - q. What is the second derivative of k - 7*k + 4*k**j + k + 6*k wrt k?
8
Let j(u) be the first derivative of -623*u**5/5 - 995*u**2/2 + 906. What is the second derivative of j(h) wrt h?
-7476*h**2
Let z(j) = 68*j**2 + 10*j - 1. Let b(v) = 67*v**2 + 11*v + 1. Let m(a) = -2*b(a) + 3*z(a). Find the second derivative of m(o) wrt o.
140
Let p(g) be the first derivative of -325*g**6/6 + g**2 + 6*g + 254. Find the second derivative of p(b) wrt b.
-6500*b**3
Suppose 2*k + 11 = 17. What is the first derivative of -4 + k - 14*c**2 + 9 wrt c?
-28*c
Let c(p) be the first derivative of 253*p**2 - 8*p - 55. Differentiate c(x) with respect to x.
506
Let k(d) = 2*d + 9. Let q be k(-3). Find the second derivative of -11*o**2 - 10*o**3 + 11*o**2 + 7*o**q - 4*o wrt o.
-18*o
Suppose 36 = 3*o + 3. Let p(v) = 5*v**2 - 2*v + 4. Let w(a) = -26*a**2 + 11*a - 21. Let t(l) = o*p(l) + 2*w(l). Differentiate t(k) wrt k.
6*k
Let m(u) be the second derivative of u**6/5 - 25*u**3/6 - 13*u**2/2 + 22*u. Let h(p) be the first derivative of m(p). Differentiate h(r) wrt r.
72*r**2
Let d(o) = -91*o**5 - 9*o**2 - 4. Let y(s) = -271*s**5 - 27*s**2 - 11. Let z(g) = 11*d(g) - 4*y(g). Find the third derivative of z(h) wrt h.
4980*h**2
What is the second derivative of 3132*j + j**5 - 3021*j - 100*j**3 + 0*j**5 wrt j?
20*j**3 - 600*j
Let v = -54 - -18. Let q = -34 - v. What is the third derivative of 35 - 35 - 14*b**3 - 6*b**q wrt b?
-84
Let d = -58 - -124. What is the derivative of 42*x - d*x + 27 + 18*x + 48*x wrt x?
42
Let c = 54 - 52. What is the third derivative of 13*y**5 - 11*y**c + 11*y**2 - 11*y**2 - 7*y**2 wrt y?
780*y**2
Let s(l) = -l + 1. Let d(k) = -4*k. Let i(t) = 4*t. Let z(b) = 3*d(b) + 2*i(b). Let p(c) = 5*s(c) + z(c). What is the derivative of p(h) wrt h?
-9
Let q(w) = -330*w**5 + 11*w**4 - 25*w - 11. Let c(s) = 66*s**5 - 2*s**4 + 5*s + 2. Let d(n) = 11*c(n) + 2*q(n). What is the second derivative of d(a) wrt a?
1320*a**3
Let w(n) = -n - 5. Let f be w(-5). Suppose 4*y - 29 = -5*k, 0 = k + 2*y - f*y - 7. What is the second derivative of -k*u**5 + 0*u + 3*u - 4*u wrt u?
-100*u**3
Let f(g) = 4. Let j(p) = -1. Let o(t) = -2*f(t) - 4*j(t). Let w(z) = z - 4. Let n(y) = -3*o(y) + 4*w(y). What is the first derivative of n(r) wrt r?
4
Let a(v) be the third derivative of 0*v**3 - 1/2*v**4 + 0*v - 11*v**2 + 0*v**5 + 0 - 1/15*v**6. What is the second derivative of a(l) wrt l?
-48*l
Let o = 74 + -39. Find the second derivative of -t**5 - 13*t**5 - 13*t - 35*t**2 + o*t**2 wrt t.
-280*t**3
Suppose 0 = -2*g + 4*p - 4, -3*p - 8 = -7*p. Suppose g*b + b = 12. What is the first derivative of -b - 3*j - 3*j + j wrt j?
-5
Suppose 0 = -3*t + 27 + 3. Let p = t + -6. What is the first derivative of 4*n**3 + n**p - 3*n**4 - 3 - 4*n**3 wrt n?
-8*n**3
Suppose b + 18 = 5*m - 34, 0 = -2*m - 3*b + 14. Find the first derivative of -14 - 12 - m*l**2 + 4 wrt l.
-20*l
Let d(z) be the first derivative of -z**4/2 + 13*z**3/3 - z - 8. Let y(t) be the first derivative of d(t). What is the second derivative of y(b) wrt b?
-12
Let g = -55 + 66. Find the third derivative of 2876*a**5 + 23*a**2 + g*a**6 - 2876*a**5 wrt a.
1320*a**3
Let b(w) = -w**3 - 2*w**2 + 37*w - 472. Let y(g) = g**3 - g**2 + g + 2. Let x(z) = -b(z) + 2*y(z). What is the first derivative of x(a) wrt a?
9*a**2 - 35
Let h(m) be the first derivative of 0*m**2 + 0*m - 17/3*m**3 + 2/3*m**6 + 20 + 0*m**4 + 0*m**5. Find the third derivative of h(i) wrt i.
240*i**2
Let g(k) = 658*k**4 + 9*k**2 + 913*k - 9. Let f(o) = -165*o**4 - 2*o**2 - 228*o + 2. Let t(l) = -18*f(l) - 4*g(l). Find the second derivative of t(b) wrt b.
4056*b**2
Differentiate -80*a**2 + 2*a + 34 - 4*a + 3*a + 60 with respect to a.
-160*a + 1
Let i(d) be the second derivative of -29*d**5/10 - 79*d**4/3 - 22*d + 7. Find the third derivative of i(j) wrt j.
-348
Let i(r) be the second derivative of -5*r**8/28 + 5*r**6/6 - r**4/12 - 179*r**3/6 - 483*r. Find the third derivative of i(b) wrt b.
-1200*b**3 + 600*b
Let z(y) = 633*y**3 - 6*y**2 - 3*y + 5. Let n(l) = -6964*l**3 + 64*l**2 + 32*l - 56. Let g(f) = -3*n(f) - 32*z(f). What is the derivative of g(c) wrt c?
1908*c**2
Let m(s) be the first derivative of 14 - s + s**3 - 2*s**2 - 19 - s. Let u(t) be the first derivative of m(t). Find the first derivative of u(o) wrt o.
6
Let i(u) be the second derivative of 1/3*u**6 + 0*u**5 + 0*u**3 + 0 + 2/3*u**4 + 0*u**2 - 8*u. What is the third derivative of i(v) wrt v?
240*v
Let q(p) be the second derivative of -19*p**5/10 + 5*p**4/12 + p**2/2 + 2*p + 24. What is the third derivative of q(k) wrt k?
-228
Let t(v) be the third derivative of 103*v**5/15 + 297*v**3/2 - 433*v**2. Differentiate t(j) wrt j.
824*j
What is the third derivative of 189*j**3 - 261*j**3 - 4*j**2 + 15*j**2 - 2*j + j**2 wrt j?
-432
Suppose -4*r = -r + 3. Let a be (3 - 2 - r) + 2. Differentiate -5*x + 4*x**2 + a*x - 1 + x wrt x.
8*x
Let p(m) be the first derivative of 351*m**5/5 - 2*m**2 - 38*m - 604. What is the second derivative of p(i) wrt i?
4212*i**2
What is the third derivative of 22*i - 68*i**4 + 7 - 7 - 11*i**2 + 12*i**2 + 24*i + i**3 wrt i?
-1632*i + 6
Let y = -20 - -31. Let i(k) = -16*k + 11. Let z(r) = 49*r - 34. Let m(a) = y*i(a) + 4*z(a). Find the first derivative of m(t) wrt t.
20
Suppose 4*q + 44 = 4*z, 0 = 7*z - 4*z + 5*q - 17. Differentiate 2*b**2 - 3 + z*b**4 - 2*b**2 - 7*b**4 with respect to b.
8*b**3
Let h = -35 - -37. Find the third derivative of -13*a**6 + 63*a**2 + 70*a**h - 137*a**2 + 3*a**6 wrt a.
-1200*a**3
Let j(m) be the third derivative of 8*m**2 + 0*m + 0*m**5 + 0 + 0*m**7 + 0*m**6 + 0*m**3 - 1/42*m**8 - 5/24*m**4. Find the second derivative of j(r) wrt r.
-160*r**3
Let b(l) be the second derivative of -8*l + 0 + 0*l**2 + 3/4*l**4 + 1/2*l**3. Find the second derivative of b(y) wrt y.
18
Suppose 2*m + 3*m = 20. What is the first derivative of 2*j + m*j + 5 + 3*j + 2 wrt j?
9
Let u = -1915 + 1919. Let k(n) be the second derivative of 0*n**u + 0*n**5 - 12*n - 2*n**2 + 7/30*n**6 + 0*n**3 + 0. What is the first derivative of k(a) wrt a?
28*a**3
Let u(z) be the second derivative of 11*z**7/6 + 44*z**3/3 + 45*z. What is the second derivative of u(p) wrt p?
1540*p**3
Let b(d) = 4 + 8*d - 6*d + 4*d**3 - 5*d**3 + 5*d - 4*d**2. Let s be b(-6). Differentiate -4*y - s + 4*y - 8*y**2 + 29 with respect to y.
-16*y
Let o(w) = -w**3. Let d(k) = 165*k**4 | {
"pile_set_name": "DM Mathematics"
} |
*2
Expand -10*u + 2*u - 3*u + (-15 - 18 + 0)*(u - 6*u + 4*u).
22*u
Expand (-5*z + 4*z - z)*(36*z + 71*z + 26*z) + (-2*z + z + 3*z)*(2*z + 2*z - 6*z) + 2*z**2 - z**2 + z**2.
-268*z**2
Expand (-2 + 2 - 2*w)*(3*w**2 - 4*w**2 + 9*w**2) - 24*w + 35*w**3 + 15*w + 8*w.
19*w**3 - w
Expand (0*v**2 - 3*v**2 + 2*v**2)*((-221*v**2 + 115*v**2 + 130*v**2)*(-3*v + 0*v + v) + 4 - 4 + v**3).
47*v**5
Expand (3*t + 1 - 1)*(5*t + 3 + 4*t - 10*t**2 - 11*t).
-30*t**3 - 6*t**2 + 9*t
Expand (-1 + 1 + 1)*(-4 - 2*j + 4)*(17 + 19 + 94)*(1 + 1 + 0).
-520*j
Expand (-2 - 4 + 0)*(-25*l**5 - 192*l**2 + 192*l**2).
150*l**5
Expand (2*w - w - 2*w + (0 + 4 - 3)*(w - w - 4*w))*(-273*w + 49*w - 13*w).
1185*w**2
Expand (-2*f**2 - 2*f**2 - 3*f**2)*(-2 - 4 + 4) + (-1 - 6 - 1 + 3*f)*(-1 - 2*f + 1).
8*f**2 + 16*f
Expand -4 + 3 - 4*w**4 - 8*w**4 - 2*w**3 - 5*w**4 + 2*w**3 + (3*w**4 - 6*w**4 + 2*w**4)*(-2 + 6 - 2).
-19*w**4 - 1
Expand ((-5 + 3 + 0)*(2*y**2 - 2*y**4 - 2*y**2) - y**4 - 2*y**2 + 2*y**2 + 4*y**4 + 3*y**4 - 5*y**4)*(7 - 7 - 19*y).
-95*y**5
Expand (0*s + 0*s - 2*s**3)*(-3*s + 2*s + 0*s)*(2 + 2 + 1).
10*s**4
Expand 1 + r**3 - 1 - 5*r**3 + 0*r**3 + 2*r**3 + (-2*r**2 - 2*r**3 + 2*r**2)*(-4 + 2 + 0).
2*r**3
Expand (10*o**2 - 51 + 51)*(-4 + 6 - 3)*(2 - 3 + 2).
-10*o**2
Expand 2*r - 3*r + 2*r + 0*r + 0*r + r + (6 - 2 - 2)*(2 + r - 2) + 15*r + 6*r + 6*r - r + 1 - 1 + (0 + 0 + 2)*(6*r - 2*r + 0*r).
38*r
Expand (2*x**4 + 2*x**2 - 2*x**2)*(x - 3 + 3) + (-4*x**3 + 4*x**3 + 2*x**4)*(-x + 1 - 1) - x**3 + x**3 + x**5 + (x**3 + x**4 - x**3)*(-33*x - 22*x + 14*x).
-40*x**5
Expand ((-1 + 1 - 2)*(-1 + q + 1) + 23*q + 4*q - 6*q)*(q - q - 2*q).
-38*q**2
Expand (-1 + 2 + 1)*(501*y**2 - 2 + 1 - 374*y**2).
254*y**2 - 2
Expand -4*h**4 - 1 + 2*h**4 + 3*h**4 + 23*h**4 - 23 + 23 + (0 + 0 - 2*h)*(-2*h + 2*h + h**3) + 2*h**2 + h**4 - 2*h**2 + h**3 - h**3 - 3*h**4.
20*h**4 - 1
Expand 0*y**5 - 3*y**5 + y**5 + (2*y**3 - 2 + 2)*(y + y**2 - y) + 5*y**5 - 2*y**5 - 2*y**5 + (2*y + 2*y**5 - 2*y)*(-1 + 0 + 0) + 174*y**4 - 174*y**4 - 9*y**5.
-10*y**5
Expand -10*y - 4*y - 6*y + (0*y + 3*y - 4*y)*(2 - 5 + 4).
-21*y
Expand (35 - 17 - 321*w**2 - 18)*(-w**3 + w**3 - w**3).
321*w**5
Expand (0 + 6 + 17)*((-6 + 1 + 3)*(-4*v + 5*v + 0*v) + 10 - v - 10).
-69*v
Expand (-2*q**3 + 0*q**3 + 3*q**3)*((-q + 3*q + q)*(0*q + q - 3*q) + (0*q + q - 2*q)*(-1 + 1 - q) + 222*q**2 - 131*q**2 - 158*q**2).
-72*q**5
Expand (0*x - x - x)*(-1 - 2 - 2)*((1 + 0 + 1)*(-1 + 0 - 1) + 0 + 4 - 6 + (8 + 11 + 0)*(5 - 1 - 6)).
-440*x
Expand (3*m + 0*m - m)*(0*m**2 + 0*m**2 - m**2) - 12660*m**3 - 2 + 4 + 12551*m**3 - 2 - 2*m + 4*m**3 - 4*m**3 + 2*m**3.
-109*m**3 - 2*m
Expand (5*f**3 + 2*f**3 + 2*f**3)*(-57*f - 56*f - f**2 + 108*f).
-9*f**5 - 45*f**4
Expand (-3*a - 97*a**2 - 21 + 30*a**2 + 65*a**2)*(-2*a**2 + 2*a**2 + 2*a**2).
-4*a**4 - 6*a**3 - 42*a**2
Expand (-1 - 4 + 4)*(-2*k + 3*k + 0*k)*(-2*k**2 + 4*k - 28*k + 3*k).
2*k**3 + 21*k**2
Expand 1066 - 159*r**5 - 1066 + 0*r**5 + r**5 - 2*r**5 + (-2 + 2 + 2*r**3)*(-4*r**2 - r**2 + 3*r**2).
-164*r**5
Expand (4*h**2 - 4*h**2 + 3*h**3)*(-2 + 0 + 0)*(210 - 428 + 218 + 1062*h**2).
-6372*h**5
Expand (-4*x**2 - 6 + 6)*(3*x**3 + 4*x**2 - 4*x**2)*(-4 - 19 - 27 + 1).
588*x**5
Expand 8*p - 8*p + 2*p**3 + (-2*p - 2 + 2)*(-9*p**2 - 4*p**2 + 0*p**2) + p**3 - 2*p + 3*p + 0*p**3.
29*p**3 + p
Expand (-30*k + 21*k - 49*k)*(-1 + 2 - 2) - k + 3*k + k.
61*k
Expand (0*q**2 - q**2 + 0*q**2)*(0 + 0 - 2*q**3) + 3*q**4 - 3*q**4 + 2*q**5 - 3*q**5 + 432 + 14*q + q**4 - 431 - 18*q.
q**5 + q**4 - 4*q + 1
Expand (-2*s - 249 - s + 264)*(3 + 2 - 6).
3*s - 15
Expand (2*b**2 - b**2 + b**2)*(3 + 0 + 3) + 0*b**2 + 0*b**2 + b**2 - 2*b**2 - 2*b**2 + 3*b**2 + (4*b - b - b)*(2*b + 2 - 2).
16*b**2
Expand (4 - 4 + n)*(-6146 - 556*n**2 + 6146).
-556*n**3
Expand (6*q - 5*q - 2*q + (4 - 5 + 0)*(5*q - 3*q + 0*q) - 2*q - q + 2*q)*(-22*q + 36*q + 49*q).
-252*q**2
Expand (12*l - 3*l + 2*l)*(-l**2 + 0 - 8 + 3) + 0*l**3 + l**3 - 2*l**3.
-12*l**3 - 55*l
Expand (4 - 2 - 4 + 3 + 3 - 4 + (4 + 1 - 3)*(2 - 2 + 2) + 3 - 2 - 2 - 3 + 6 - 1)*(5 - 4 + 0)*(0*h + 5*h - 3*h)*(2*h**3 - 2*h**3 - h**4).
-10*h**5
Expand (-5 + 97*t**4 - 50*t**4 - t**3 - 50*t**4)*(-4*t + 0*t + t).
9*t**5 + 3*t**4 + 15*t
Expand (-10*y**2 + 19*y**2 + 18*y**2)*(0 + 0 - 1)*(-2 - 4 + 5).
27*y**2
Expand (-4 + 3 + 3)*(-m - 3*m + 2*m) - m - 2*m + 5*m + 3*m + 3*m - 5*m + (28 + 11 - 62)*(9 - 5*m - 9).
114*m
Expand 7*g - 12*g + 13*g + (g - 3 + 3)*(0 + 1 - 3) + 4*g - 6*g + g - 3*g - 3*g + 0*g.
-g
Expand (0*v + 0*v + v)*(4*v - 5*v + 3*v) + 0*v**2 + v**2 + v**2 - v**2 + 9*v - 9*v + 3 - 49*v**2 + 29*v**2 + 24*v**2.
7*v**2 + 3
Expand (-5 + 0 + 2)*(z + z - z)*(11*z**2 - 7*z**2 + 9*z**2).
-39*z**3
Expand (0 + 0 + 5390*m - 5170*m)*(2 - 3 + 2).
220*m
Expand 0 - d + 4 - 1 + (12 - 5 + 26)*(1 + 3*d - 1).
98*d + 3
Expand (-2 + r + 2 - 2)*(-30*r - 80*r + 22*r).
-88*r**2 + 176*r
Expand (1031*b - 1031*b - 265*b**2)*(0 - 2 + 1)*(-2 + 3 + 0).
265*b**2
Expand 224*d**5 + 58*d**5 - 89*d**5 + (2*d**4 - d + d)*(-3*d - 3*d + 5*d).
191*d**5
Expand (3 - 3*z - 3)*(23*z - 13*z + 17*z + 3 + 37*z).
-192*z**2 - 9*z
Expand (-v + 3*v - 3*v)*(-97*v**2 + 55*v**3 + 97*v**2) - v**2 + 2*v**4 + v**2.
-53*v**4
Expand (-5 + 6 - 6)*(-q - 3*q + 5*q)*(15 + 10 + 3)*(0*q**4 + 2*q**4 - q**4).
-140*q**5
Expand (-8*t - 4*t - 8*t)*(28*t**2 - 28*t**2 + 9*t**3).
-180*t**4
Expand (1 - 18*p + 0*p + 7*p)*(-3*p**4 - 4*p**4 + 5*p**4) - 2*p**5 - 3*p**5 + 7*p**5 + (-1 + 5 - 1)*(5*p**2 - 5*p**2 + 2*p**5).
30*p**5 - 2*p**4
Expand -4*f**2 - f**2 + 3*f**2 + (-1 + 1 - f)*(5*f - 3*f - 4*f) - 1 + 1 + 2*f**2 - 1 + 1 + 2*f**2 + 125 - 120 - 20*f**2 + 45*f**2.
29*f**2 + 5
Expand (5*o + 0 - 1 - 3*o)*(-53*o**2 - 15*o**2 - 88*o**2).
-312*o**3 + 156*o**2
Expand (-40*j - 38 + 47*j - 6*j)*(3 - 4 + 3).
2*j - 76
Expand 4*k**2 - 36*k**2 + 65*k**2 + (2*k + 2 - 2)*(0 + 0 + k) + 3 - 3 + 2*k**2 + (-3*k + k - 4*k)*(3*k - 3*k - k).
43*k**2
Expand (5*y + 0*y + y)*(-30*y**4 + y**3 + y**3 - 7*y**4).
-222*y**5 + 12*y**4
Expand 3*b**5 + 2*b**5 - 2*b**5 + (3*b**3 - 4*b**3 + 3*b**3)*(4*b - 2*b + 2*b)*(-2*b - 2*b - b).
-37*b**5
Expand (y**3 - 3*y**3 + 3*y**3)*(4*y - y - y) - 38*y**4 + 84*y**4 - 11*y**4.
37*y**4
Expand (2 - 5 + 2)*(-37*h + 46*h + 102*h) + (-2*h + 2*h - 2*h)*(4 + 2 - 3).
-117*h
Expand -2 + 2 + 4*o**5 + (-o**5 - 4*o**5 + 4*o**5)*(-1 + 3 - 5) - o**3 + 3*o**3 - o**5 + 3 + 2*o**5.
8*o**5 + 2*o**3 + 3
Expand (-11 + 8 + 4 - 29*z)*(-2 + 0 + 1).
29*z - 1
Expand (-2*l + 0*l + 4*l)*(0 + 3 + 0)*(-3 - 12 + 6)*(0 - 2 - 2).
216*l
Expand -2*z**4 - 2*z**4 + 2*z**4 + (-5*z**2 + z**2 + 3*z**2)*(-z**2 + 3*z**2 - z**2) - 11 + 105*z**4 + 9 - 163*z**4.
-61*z**4 - 2
Expand (4 + 1 - 4)*(t + 3*t - 2*t) - 3*t + t + 4*t + 38*t - 29 + 29.
42*t
Expand (2*b**2 + b**2 - 2*b**2)*(-2*b + b - 8*b + (0 + 3 - 5)*(-b - b - b) - 3*b - b + 2*b).
-5*b**3
Expand (27 - 15 + 7*m - 15)*(-4*m**2 - m**2 + 3*m**2) + m**3 - 5*m**3 + 0*m**3.
-18*m**3 + 6*m**2
Expand -2*j**3 + 2*j**3 + j**3 + (-20 + 20 + 8*j)*(-29*j**2 - 15*j**2 + 4*j**2).
-319*j**3
Expand (-290 + 122 + 44 + j**5)*(-4 + 2 + 0).
-2*j**5 + 248
Expand 465 - 926 + 7*j**4 + 459 - 3*j**2 + 2*j**3 - 2*j**3 - 2*j**4 + (-j**3 - 4*j**3 + 3*j**3)*(7*j - 3*j - 2*j).
j**4 - 3*j**2 - 2
Expand (-209*z**4 - 10*z**4 - 313*z**4)*(0*z - 3*z + 2*z).
532*z**5
Expand (0 + 2 + 0)*(30*i - 2*i - 27*i - 14*i**5).
-28*i**5 + 2*i
Expand (117 - 37 + 86)*(-g**2 - 2*g**2 - g**2).
-664*g**2
Expand ((-3 - 3 + 7)*(0 - 5 - 1) + (0 - 3 + 2)*(-3 + 4 + 1))*(-9 + 9 + 9*y**5).
-72*y**5
Expand (-r - 4*r + 6*r)*(7*r + r - 3*r) - 1 + 1 - r**2 + 0*r**2 - r**2 + 3*r**2.
6*r**2
Expand (12*d**2 + 25*d**2 + d**2)*(-2*d**2 - 3*d**2 + 4*d**2) + (-d**2 + d**2 - 2*d**4)*(0 - 1 - 1) - d**4 - 2*d**4 + d**4.
-36*d**4
Expand (2 - 5 + 4)*(6 - 3*r - 6) - 2*r + 6*r - 3*r + (2 + 0 + 4)*(2*r - 6*r + r).
-20*r
Expand (-1 - 3 - 2)*(-27 + 27 + 10*n**3)*(-2*n**2 - 3*n**2 + 6*n**2).
-60*n**5
Expand (189*b + 3*b + 209*b + 285*b)*(2*b - 4 + 4).
1372*b**2
Expand (-3*m**2 + 2*m**2 + 0*m**2)*(-312 - m - 321 - 138*m**2 + 635).
138*m**4 + m**3 - 2*m**2
Expand (138*n**2 - 275*n**2 - 316*n**2)*(7*n - 3*n - 3*n).
-453*n**3
Expand (-2*m + 0*m + m)*(-22 + 7 - 6)*(-1 + 0 - 5).
-126*m
Expand ((-4 + 5 - 3)*(0 + 2 - 3) + 2 - 5 + 1 + 15 - 19 - 23)*(17*s**2 + 20 - 20).
-459*s**2
Expand (b - b - 2*b)*(-3026 + 3026 + 86*b) + (-2*b**2 + 7*b**2 | {
"pile_set_name": "DM Mathematics"
} |
Two letters picked without replacement from wwwwywwyyyywyyww. Give prob of picking 2 w.
3/10
Calculate prob of picking 1 x and 2 n when three letters picked without replacement from {x: 1, n: 2, s: 1}.
1/4
Two letters picked without replacement from {e: 1, o: 2, z: 5, v: 5, q: 4, i: 3}. Give prob of picking 1 o and 1 i.
3/95
Three letters picked without replacement from {k: 1, u: 1, p: 1, r: 1, z: 1}. Give prob of picking 1 k, 1 p, and 1 z.
1/10
Two letters picked without replacement from {o: 13, u: 3}. Give prob of picking 2 u.
1/40
Calculate prob of picking 1 c and 2 y when three letters picked without replacement from {v: 1, k: 1, d: 1, c: 5, n: 1, y: 3}.
3/44
Two letters picked without replacement from oooh. What is prob of picking 1 o and 1 h?
1/2
Three letters picked without replacement from xiihxxc. What is prob of picking 1 h, 1 x, and 1 i?
6/35
What is prob of picking 1 p, 2 b, and 1 n when four letters picked without replacement from npppntnrbnpbpprrpr?
7/765
Calculate prob of picking 1 n and 1 g when two letters picked without replacement from ynnplyoolgnpgony.
1/15
Four letters picked without replacement from ttneenttteet. What is prob of picking 2 t and 2 e?
2/11
Calculate prob of picking 1 s and 1 v when two letters picked without replacement from svpdsmd.
2/21
Three letters picked without replacement from {k: 4, g: 3, t: 2, e: 10}. What is prob of picking 1 k and 2 e?
60/323
What is prob of picking 1 s and 1 g when two letters picked without replacement from isisitigtbtgiti?
4/105
What is prob of picking 1 u and 1 g when two letters picked without replacement from {y: 11, u: 1, g: 1}?
1/78
Two letters picked without replacement from memmmeueemeeueue. Give prob of picking 2 u.
1/40
Calculate prob of picking 1 p and 1 w when two letters picked without replacement from bwppfbwbpc.
2/15
Two letters picked without replacement from {f: 2, j: 8}. Give prob of picking 2 j.
28/45
Calculate prob of picking 2 p when two letters picked without replacement from pcccpcppccc.
6/55
Calculate prob of picking 1 c, 2 u, and 1 k when four letters picked without replacement from {u: 2, k: 1, w: 1, c: 1}.
1/5
Calculate prob of picking 1 l and 2 x when three letters picked without replacement from {l: 2, y: 1, x: 3, h: 4}.
1/20
Three letters picked without replacement from vcvccvc. Give prob of picking 1 c and 2 v.
12/35
Three letters picked without replacement from {w: 2, j: 1, c: 2, t: 1}. Give prob of picking 1 c, 1 t, and 1 j.
1/10
Calculate prob of picking 1 a and 2 q when three letters picked without replacement from zaqqrrqarrkkaa.
3/91
Four letters picked without replacement from bbbzzzbdzbzbzz. What is prob of picking 3 b and 1 d?
20/1001
What is prob of picking 1 s and 2 m when three letters picked without replacement from sszzmzzszzzlzztlzlmm?
3/380
Three letters picked without replacement from zjyiszr. Give prob of picking 1 i, 1 y, and 1 r.
1/35
What is prob of picking 2 j when two letters picked without replacement from {j: 5, m: 1, h: 2, t: 2, z: 2, s: 2}?
10/91
Three letters picked without replacement from {j: 2, q: 1, u: 2, r: 4, o: 4, w: 2}. Give prob of picking 2 o and 1 u.
12/455
Calculate prob of picking 3 d when three letters picked without replacement from {m: 7, n: 1, d: 6}.
5/91
Calculate prob of picking 1 s, 2 r, and 1 z when four letters picked without replacement from {z: 2, y: 1, m: 1, s: 2, j: 1, r: 2}.
2/63
Two letters picked without replacement from {j: 4, o: 7, y: 2}. Give prob of picking 2 j.
1/13
What is prob of picking 1 f and 2 i when three letters picked without replacement from iggipififgiffip?
12/91
Two letters picked without replacement from {b: 3, q: 1, d: 2, c: 1, v: 5, s: 1}. What is prob of picking 1 d and 1 b?
1/13
Two letters picked without replacement from {g: 2, k: 1, y: 1, t: 3, w: 4, n: 4}. Give prob of picking 2 t.
1/35
Three letters picked without replacement from odztzooodzt. What is prob of picking 1 t and 2 o?
4/55
Calculate prob of picking 1 k and 1 r when two letters picked without replacement from kjoooordo.
1/36
Four letters picked without replacement from kxzqqfzk. What is prob of picking 2 k and 2 z?
1/70
What is prob of picking 1 d and 3 e when four letters picked without replacement from jdjhzzejzdjjd?
0
Calculate prob of picking 3 w when three letters picked without replacement from {w: 3, a: 5}.
1/56
Three letters picked without replacement from ioiimxiiixmiomiiixo. Give prob of picking 1 i, 1 o, and 1 m.
30/323
Two letters picked without replacement from djddjj. What is prob of picking 2 j?
1/5
Calculate prob of picking 2 b when two letters picked without replacement from btbbbbttbbttbttbtbtt.
9/38
Two letters picked without replacement from {l: 1, m: 14, q: 2, h: 1, p: 1}. Give prob of picking 1 l and 1 m.
14/171
Four letters picked without replacement from {f: 5, s: 2}. Give prob of picking 1 s and 3 f.
4/7
Three letters picked without replacement from {q: 1, v: 3, p: 2, c: 4, z: 2, j: 2}. What is prob of picking 1 q and 2 z?
1/364
Calculate prob of picking 2 y when two letters picked without replacement from rybbybbby.
1/12
Three letters picked without replacement from {a: 10, r: 1, t: 1, d: 2, h: 3}. What is prob of picking 1 h, 1 a, and 1 t?
3/68
Two letters picked without replacement from llkbebkkbk. What is prob of picking 1 k and 1 e?
4/45
Two letters picked without replacement from bpbbbbp. Give prob of picking 1 p and 1 b.
10/21
Three letters picked without replacement from {p: 7, s: 2}. Give prob of picking 2 s and 1 p.
1/12
Calculate prob of picking 1 r and 1 x when two letters picked without replacement from {x: 1, r: 3}.
1/2
Three letters picked without replacement from pozpogpgpc. What is prob of picking 2 o and 1 g?
1/60
What is prob of picking 3 o when three letters picked without replacement from auouaooaoooooooouaou?
11/57
Two letters picked without replacement from {l: 2, o: 2, g: 3, b: 1, a: 2, e: 2}. What is prob of picking 1 e and 1 o?
2/33
What is prob of picking 1 a, 1 i, 1 m, and 1 e when four letters picked without replacement from ennainiatamaa?
2/143
What is prob of picking 2 t when two letters picked without replacement from {t: 7}?
1
Three letters picked without replacement from {h: 4, r: 5, b: 10}. Give prob of picking 1 h, 1 r, and 1 b.
200/969
Calculate prob of picking 3 x when three letters picked without replacement from {w: 4, x: 6, a: 1}.
4/33
Two letters picked without replacement from srsrrrreferrrrrrrf. Give prob of picking 1 s and 1 r.
8/51
Three letters picked without replacement from mvvmvvm. Give prob of picking 2 m and 1 v.
12/35
What is prob of picking 1 u and 1 n when two letters picked without replacement from {n: 7, q: 1, u: 9, y: 1}?
7/17
What is prob of picking 1 l and 1 v when two letters picked without replacement from vlsvlvlvvsvvvlvv?
1/3
Calculate prob of picking 1 l and 1 f when two letters picked without replacement from {o: 4, f: 1, y: 1, l: 4}.
4/45
What is prob of picking 1 q and 2 k when three letters picked without replacement from qqoaaqakkk?
3/40
Calculate prob of picking 1 m and 3 w when four letters picked without replacement from wwwmmmwmwwmmw.
42/143
What is prob of picking 1 v, 1 c, and 1 x when three letters picked without replacement from vvxocno?
2/35
What is prob of picking 1 j and 1 h when two letters picked without replacement from zkzhhzhhhmzjkmmhhzh?
8/171
What is prob of picking 1 u and 1 q when two letters picked without replacement from {q: 8, u: 3}?
24/55
What is prob of picking 1 t and 3 g when four letters picked without replacement from fnffgfgnfgttfnfin?
1/1190
Calculate prob of picking 1 i and 1 c when two letters picked without replacement from uaaaaiadauauuuucauaa.
1/190
Two letters picked without replacement from {c: 5, l: 3}. What is prob of picking 2 l?
3/28
What is prob of picking 1 b and 1 m when two letters picked without replacement from {n: 3, m: 2, b: 8, d: 4}?
2/17
What is prob of picking 2 f and 1 x when three letters picked without replacement from qqqxfqxfqxfxqqqfq?
3/85
Two letters picked without replacement from kkuukjnkknnj. What is prob of picking 2 k?
5/33
Calculate prob of picking 1 b and 1 h when two letters picked without replacement from amuhhfaub.
1/18
What is prob of | {
"pile_set_name": "DM Mathematics"
} |
3/2
Calculate 1/2*28*6/(-12).
-7
Calculate 1*48/60*(-10)/(-4).
2
What is the value of (0/(-3))/(3/(3/2))?
0
What is the value of (((-9)/2)/(-3))/((-486)/72)?
-2/9
Evaluate (-56)/(-35)*10/4.
4
What is the value of (8/51)/((-168)/(-126))?
2/17
Calculate 2/2*-6*(-4)/(-8).
-3
Evaluate 5/(-2)*1680/700.
-6
Evaluate (-6)/2*(-34)/(-68).
-3/2
What is the value of (2/66*-2)/((-4)/18)?
3/11
Evaluate ((-10)/125)/(3/45).
-6/5
What is the value of 21/28*(-12)/(-3)?
3
5/(-70)*-8*2/8
1/7
Calculate (27/(-81))/((-1)/(-3)).
-1
What is -2*((-48)/(-6))/(-48)?
1/3
Evaluate 2/(-4)*(-8)/(-4).
-1
What is the value of 144/(-64)*(-24)/(-9)?
-6
0/((8/14)/(98/343))
0
What is the value of (((-6)/12)/((-1)/(-12)))/(-4)?
3/2
What is (1/(-21))/((-62)/217)?
1/6
Evaluate (2*(-15)/(-25))/(-2).
-3/5
What is the value of ((-30)/27)/(6/(360/(-50)))?
4/3
What is the value of (-5)/4*304/(-190)?
2
Calculate (2/(-2))/((-9)/(-9)).
-1
What is the value of 1/(-3)*(-69)/46?
1/2
Calculate ((-2)/((-24)/9))/((-90)/80).
-2/3
Calculate ((-81)/72)/9*-2.
1/4
What is the value of ((-5)/((-50)/12))/((-72)/240)?
-4
(2/10)/((-6)/(-18))
3/5
Evaluate 2*(2/6)/1.
2/3
Evaluate 1/3*(-1)/1*-3.
1
What is the value of (-1*0/5)/(-4)?
0
Evaluate (-10)/(-5)*15/(-6).
-5
What is 0/((-9)/(-3))*(-20)/(-20)?
0
Calculate (0/((-16)/((-56)/(-7))))/(-2).
0
Calculate 6*6/108*(-3)/(-7).
1/7
Calculate -4*(-5)/40*6.
3
Calculate (64/16)/((-4)/(-3)).
3
What is (-4)/(-7)*42/84?
2/7
-2*9*(-2)/(-12)
-3
9/9*1/((-9)/(-3))
1/3
What is the value of ((11/(-110))/(6/(-15)))/1?
1/4
Calculate (1/16)/((-1)/((-18)/(-3))).
-3/8
3/((6/(-15))/(4/(-6)))
5
Calculate ((-1)/(-9)*3)/(8/(-96)).
-4
What is the value of ((-4)/4)/((-224)/96)?
3/7
Evaluate (((-56)/7)/(-4))/(-18)*2.
-2/9
((-945)/(-18))/(-15)*36/(-21)
6
Evaluate 2/1*(-3)/((-24)/2).
1/2
Calculate (0/13)/(2/2).
0
What is the value of 1/((7/14)/1)?
2
2*7/(-9)*(-2)/7
4/9
(70/(-350))/(1/(-20))
4
What is the value of (42/63)/(3/(-27)*1)?
-6
What is (-8*11/(-924))/((-6)/14)?
-2/9
What is the value of 6/10*((-15)/(-9))/5?
1/5
Calculate 15/6*(-12)/75.
-2/5
What is (-1)/(4*8/(-32))?
1
What is the value of ((-6)/(-10))/((-516)/(-215))?
1/4
10/25*25*(-2)/4
-5
What is the value of (-3)/(-2)*-4*10/60?
-1
Calculate (-8)/(-40)*(-4)/((-4)/5).
1
What is (4/(-6))/(13/(117/24))?
-1/4
What is the value of -1*((-32)/20)/8?
1/5
What is the value of (4/(20/1))/(92/40)?
2/23
(124/(-248))/((-1)/(-4))
-2
What is (-20)/(-30)*2/4?
1/3
((-3)/10)/((-6)/(-5))
-1/4
((-2)/15)/((-61)/61)
2/15
Evaluate (126/210)/(-2*(-1)/(-5)).
-3/2
Calculate (-1)/((-2)/(-1))*(-16)/(-10).
-4/5
(2/((-13)/(-13)))/((-20)/(-6))
3/5
What is (-30)/(-490)*(-98)/(-63)?
2/21
Calculate 2*(-2)/((-96)/30).
5/4
Calculate (13/(-52))/(((-10)/24)/(-5)).
-3
What is ((-24)/8)/(-6)*6?
3
Calculate (4/(-8))/((-21)/336).
8
What is (-171)/(-38)*(-2)/(-6)?
3/2
Calculate 5/6*4/(-10)*6.
-2
Evaluate 24/(-14)*2/(-6).
4/7
(-8)/18*(-588)/784
1/3
What is the value of (-1)/(-4)*36/72?
1/8
((-12)/(-12))/((-2)/10)
-5
What is (1*(-1)/3)/((-22)/(-66))?
-1
Calculate 11/(-11)*(-6)/(-2).
-3
What is the value of ((-8)/(-8))/((-6)/(-12))?
2
What is ((81/6)/(-9))/(45/(-12))?
2/5
Calculate 12/(-9)*(8/(-8))/(-6).
-2/9
3/(-9)*(-8)/(-160)*15
-1/4
Calculate ((459/340)/27)/((-2)/(-8)).
1/5
Evaluate ((4/1)/4)/1.
1
Evaluate 13*(-6)/(-936)*-9.
-3/4
Evaluate ((-5)/((-10)/4))/(-6).
-1/3
3*1*(-6)/30
-3/5
What is 3/(-75)*3*-5?
3/5
Calculate ((-18)/(-27))/(8/(-6)).
-1/2
What is the value of (13/(39/12))/(-1)?
-4
Calculate 1/1*6/(-6)*2.
-2
((-2)/(-16))/((-1)/(30/(-10)))
3/8
What is the value of ((-6)/(-120))/(9/(-24))?
-2/15
Evaluate (15/(-18))/(110/198).
-3/2
What is (660/(-550))/(6/(-4))?
4/5
Calculate 0*(27/(-6))/(-9).
0
Calculate ((-78)/65)/((-3)/10).
4
((-3)/(18/8))/((-16)/(-132))
-11
What is the value of (-4)/((-55)/(-33)*(-4)/(-10))?
-6
What is 12/(-20)*(-75)/315?
1/7
Calculate (-1)/(-4)*180/(-315).
-1/7
Calculate (1/15)/((-1)/(-2)).
2/15
Evaluate ((-6)/15)/(7/((-105)/18)).
1/3
Calculate 8/2*(14/(-16))/7.
-1/2
Evaluate (-2)/15*-6*35/(-140).
-1/5
Evaluate (7/567*6)/(2/6).
2/9
What is the value of (4/2)/(4*(-1)/2)?
-1
(13/((-13)/(-2)))/(1/(-2))
-4
What is -35*(-10)/50*8/14?
4
Calculate 56/(-48)*16/28*3.
-2
What is the value of ((-4)/(-30))/((-8)/10)?
-1/6
Calculate (474/395)/((-2)/10).
-6
What is the value of -1*-3*(-4)/12?
-1
What is (9/(27/(-6)))/(-4)?
1/2
Evaluate ((-20)/(-100))/(2/2).
1/5
What is 9/9*-1*-1?
1
What is the value of (12*(-5)/(-50))/((-12)/(-40))?
4
Evaluate (6/(-12))/((6/(-3))/(-8)).
-2
Evaluate (-32)/36*(-1)/4.
2/9
Evaluate 4/(1/((44/24)/11)).
2/3
What is (-99)/(-66)*4/(-6)?
-1
What is the value of ((-110)/(-44))/(6/(-12))?
-5
What is the value of (4*(-3)/(-48))/(2/16)?
2
What is the value of (-90)/(-15)*8/(-12)?
-4
What is ((-6)/(144/4))/((-1)/(-4))?
-2/3
Calculate (1/(1/(-1)))/(2/2).
-1
What is (-3)/((-36)/4)*24/1?
8
What is ((-216)/378)/(((-30)/63)/1)?
6/5
Evaluate (-2*(-3)/(-6))/((-45)/18).
2/5
Evaluate (-72)/48*16/42.
-4/7
Evaluate (-48*1)/(-4)*(-1)/3.
-4
((-1)/75)/((-3)/(-18))
-2/25
Calculate (1/(-1))/((-78)/312).
4
What is -12*(-8)/(168/7)?
4
What is (0/1)/((-357)/51)?
0
What is (-6)/(3*-4*(-4)/24)?
-3
Evaluate ((-63)/(-6))/((-168)/(-96)).
6
(63/(-42))/((-21)/140)
10
Calculate ((-5)/10)/(8/(-32)).
2
Calculate 2/((2/(-12))/(1/3)).
-4
What is the value of ((-30)/(-20))/(-1*6/(-16))?
4
What is the value of (4/6)/((80/36)/10)?
3
What is ((-15)/(-20)*-1)/(66/(-16))?
2/11
Evaluate (((-12)/(-5))/(-6))/((-9)/(-15)).
-2/3
What is ((-20)/125)/(-1*(-2)/(-1))?
2/25
(((-15)/(-2))/(-3))/((-3)/(-6))
-5
Evaluate ((-1870)/2057)/(2/(-11)).
5
What is ((-27)/90)/(-6*(-3)/(-24))?
2/5
((-24)/6)/(-12)*(-6)/(-14)
1/7
What is the value of 1*5*7/(-28)?
-5/4
Evaluate (32/48)/((10/3)/(-2)).
-2/5
What is the value of (-4)/84*(-2)/(2/9)?
3/7
What is (1/3)/(34/306)?
3
What is ((-8)/4)/(8/16)?
-4
Evaluate (2/5)/((-144)/360).
-1
Calculate (-32)/(-1520)*(-5)/1.
-2/19
Evaluate (21/(-7))/((-45)/(-15)).
-1
What is -2*2*5/(-20)*1?
1
What is (((-616)/(-294))/(-22))/((-4)/18)?
3/7
What is the value of ((-72)/(-660)*-5)/(6/(-44))?
4
((-250)/750)/(((-22)/(-4))/(-1))
2/33
Calculate 5/(-2)*3/(225/12).
-2/5
Calculate ((-2)/5)/(-5*5/(-125)).
-2
Calculate (6/(-225))/(4/18)*5.
-3/5
(-30)/(-9)*(-3)/(-45)
2/9
Evaluate 1*6*((-80)/(-12))/10.
4
21/(-105)*-5*5
5
-6*(-10)/(-1260)*-3
1/7
(24/(-28))/((80/35)/4)
-3/2
What is ((-4)/3)/(14/21)?
-2
Calculate ((-15)/65)/((-2)/(12/(-9))).
-2/13
Evaluate ((-2)/(-12))/(((-15)/(-18))/5).
1
Evaluate (-2)/3*((-26)/4)/(-13).
-1/3
What is the value of ((-2)/1)/(90/(-30))?
2/3
Evaluate ((-2)/(-13))/(3/78).
4
-6*(72/(-16))/(-9)
-3
1*8/(-24)*0/(-2)
0
What is (4/16)/(9/216)?
6
What is 4*(-1)/(-12)*-2*-1?
2/3
Evaluate 1*1/1*(-8)/(-24).
1/3
What is ((264/320)/(-11))/(12/(-16))?
1/10
Calculate 7*-3*13/(1092/8).
-2
What is ((-3)/((-81)/15))/((-60)/(-36))?
1/3
What is (18/18)/(3/(-15))?
-5
What is (20/24)/(6/(-9))?
-5/4
Evaluate (-18)/24*4/6*1.
-1/2
Calculate (-9)/9*1*-8.
8
(-22)/77*-28*(-3)/(-8)
3
Evaluate (-4)/(-7)*(-12)/16.
-3/7
Evaluate ((-26)/(-572))/((-2)/8).
-2/11
What is the value of (-19)/19*(-3)/(-1)?
-3
What is the value of 42/7*1*(-1)/3?
-2
Evaluate (2/5*(-15)/(-24))/(-1).
-1/4
(14/6)/(-7)*(-3)/3
1/3
3/2*(-60)/18
-5
(623/178)/((-1)/(-2))
7
((-6)/6)/(3*20/6)
-1/10
(-1)/(((-4)/((-16)/6))/(-3))
2
What is the value of (9/3)/(5/((-60)/18))?
-2
What is 55/22*(-8)/5?
-4
((-22)/(-77))/((-8)/(-7))
1/4
((-8)/18)/((-20)/(-90))
-2
What is the value of 1/(-2)*1/(14/12)?
-3/7
((-6)/(-1))/6*0/(-5)
0
((-54)/(-8))/(-1)*44/33
-9
What is (8/(-20))/((-3)/(60/(-92)))?
-2/23
What is (-2)/(-10)*60/(-72)*1?
-1/6
Evaluate (-25)/6*(-141)/470.
5/4
What is (4/(-56)*-8)/((-12)/(-42))?
2
Evaluate (-9)/((-243)/72)*-3.
-8
Calculate 12/(-10)*(-20)/(-8).
-3
8/240*4*1*5
2/3
What is the value of (-5)/(-3)*3/(-30)*-2?
1/3
What is the value of (8/3)/(204/612)?
8
((-3)/15)/((-1)/15)
3
What is the value of (-1)/(-2)*6*28/(-28)?
-3
((-7)/(-21))/((-35)/15)
-1/7
What is the value of 18/(-12)*8/12?
-1
Evaluate (5/14)/((-485)/(-388)).
2/7
What is (-3*2/10)/((-12)/(-12))?
-3/5
What is (-1)/((117/6)/13)?
-2/3
3*((-1)/(-30))/(140/350)
1/4
What is the value of (-4)/6*(-2055)/274?
5
What is the value of (1/(9/(-72)))/(4/2)?
-4
Evaluate ((-30)/(-4))/((-15)/(-10)).
5
Calculate (0/((-12)/6))/1.
0
Calculate ((-6)/6*-1)/((-36)/(- | {
"pile_set_name": "DM Mathematics"
} |
/8 + d**2. What is 33*k(v) - 2*l(v)?
-3*v**2
Let l(u) = 4*u**3 + 16*u**2 + 5. Let h(c) = 8*c**3 + 31*c**2 + 9. What is -3*h(w) + 5*l(w)?
-4*w**3 - 13*w**2 - 2
Let x(c) = -c**3 - c - 1. Let y(z) = -z**3 - 3*z**2 + 7*z + 9. Let b(i) = -5*x(i) - y(i). Let u(f) = -17*f**3 - 8*f**2 + 6*f + 11. Determine 11*b(g) + 4*u(g).
-2*g**3 + g**2 + 2*g
Let n(m) = 34*m**2. Let u(h) = -17*h**2. Calculate -4*n(d) - 7*u(d).
-17*d**2
Let l(v) = -v + 14. Let c(b) = -6*b + 70. Let d(h) = 3*c(h) - 16*l(h). Let w(f) = -1. Give d(t) - 12*w(t).
-2*t - 2
Let z be -6*(15/6 + -3). Let g(y) = 3*y**2 + 5*y + 1. Suppose 3*q + 3 = 18. Let n(u) = -2*u**2 - 3*u - 1. Determine q*n(l) + z*g(l).
-l**2 - 2
Suppose 4*t - 4 = 4*j, t + 4*j - 2*j - 7 = 0. Let y(m) = -6*m - 5. Let s(v) = -3 - v - 2*v + 0*v. Calculate t*y(k) - 5*s(k).
-3*k
Let m(n) = -n**2 - n + 1. Let x(z) = -2*z**2 - 28*z + 4. Calculate -3*m(v) + x(v).
v**2 - 25*v + 1
Let g(m) = 19*m**2 + 13*m + 13. Let j(b) be the second derivative of -1/3*b**3 + 0 + 2*b - b**2 - 1/4*b**4. Determine 6*g(s) + 39*j(s).
-3*s**2
Suppose -2*s - 5 - 1 = 0. Let i(l) = l**3 + 3*l**2 + 3. Let v(n) = -n**3 - 4*n**2 - 4. Give s*v(z) - 4*i(z).
-z**3
Let q(d) = d. Let t(m) = m. Suppose 0*n = -b + 4*n - 14, -2*b + 5*n = 16. Suppose s - c + 4*c = 8, -b = -c. What is s*q(f) - 3*t(f)?
-f
Let i(n) = 9*n**3 + 14*n**2 + 13*n - 13. Let r(v) = -4*v**3 - 7*v**2 - 6*v + 6. What is 6*i(a) + 13*r(a)?
2*a**3 - 7*a**2
Let q(j) = j**2 - 1. Suppose 2*y - 2*i = 12, 6*y - y - 24 = 2*i. Let r(s) = -7*s**2 + s + 4. Determine y*q(n) + r(n).
-3*n**2 + n
Let s(x) = x**2. Suppose -3*b + 7 = -2. Let u(i) = -i**b + 6*i**2 + 2*i**3 + 5*i**2 + 1 + i. Suppose -4*v = 3*p + p + 20, 5*v - 4*p = 2. Give v*u(t) + 22*s(t).
-2*t**3 - 2*t - 2
Let j(v) be the second derivative of -v**4/4 + v**3/2 + 3*v**2/2 + 5*v. Let s(i) = -i**3 + 2*i**2 - 2*i - 2. Determine 2*j(x) + 3*s(x).
-3*x**3
Let q(h) = -4*h**2 + 5*h**2 - 1 + 0. Suppose -6 + 20 = 2*i. Let a(f) = -1 + 5 + 1 - i*f**2. Give -a(n) - 5*q(n).
2*n**2
Let j(f) = -4*f**2 + 5*f - 2. Let p(i) = -i**2 - 1. Give j(v) - 3*p(v).
-v**2 + 5*v + 1
Let o(p) = 2 - 2*p**2 + 5*p**2 - 3*p**2 + 4*p**2 + p**3. Let b(i) = i**3 + i**2. Determine 3*b(a) - o(a).
2*a**3 - a**2 - 2
Let l = -15 - -6. Let w = 7 + -3. Let i(v) = -v**2 - 1. Let z(x) = -4*x**2 - 15. Let j(s) = -6*i(s) + z(s). Let o(y) = y**2 - 4. Determine l*o(m) + w*j(m).
-m**2
Let l(f) = 5*f - 2. Let c = 102 + -99. Let h(m) = 6*m - 2. Give c*h(s) - 4*l(s).
-2*s + 2
Let s = -8 + 11. Suppose -4*m - 5 = 11, s*v - 4*m - 37 = 0. Let j(z) = -4*z - 6. Let i(x) = -x - 2. Calculate v*i(y) - 2*j(y).
y - 2
Let u(v) = 16*v**2 + 7*v - 10. Let s(y) be the first derivative of -5*y**3/3 - y**2 + 3*y - 24. Determine 7*s(q) + 2*u(q).
-3*q**2 + 1
Let h(g) = -27*g - 1. Let w(i) = 13*i. What is 2*h(u) + 5*w(u)?
11*u - 2
Let w(o) = -11*o - 11. Let s(f) = 17*f + 16. Let v(i) = -5*s(i) - 7*w(i). Let q(m) = 2*m + 1. Give 9*q(x) + 2*v(x).
2*x + 3
Let v(f) = -f**3 - 2*f**2 + 2*f + 2. Let t(y) = -y**3 - y**2 + y + 1. Give -2*t(k) + v(k).
k**3
Let g(w) = w - 33. Let m(h) = -h + 17. Determine -4*g(b) - 7*m(b).
3*b + 13
Let r(t) = 3*t - 3. Suppose 3*y + 3*x - 12 = 0, x + 12 = y + 6*x. Let f(p) = 7*p - 7. Calculate y*f(m) - 5*r(m).
-m + 1
Let w(r) be the third derivative of r**6/40 + r**5/12 + 5*r**4/24 + 17*r**2. Let b(k) = -k**3 - 2*k**2 - 2*k. Determine -5*b(c) - 2*w(c).
-c**3
Let j(r) = 17*r**2 - 9*r - 15. Let z(b) = 9*b**2 - 5*b - 8. Give -3*j(k) + 5*z(k).
-6*k**2 + 2*k + 5
Let y(n) = 5*n**2 + 4*n - 4. Let z(b) = 6*b**2 + 5*b - 5. Let i = 61 + -65. What is i*y(x) + 3*z(x)?
-2*x**2 - x + 1
Let d(g) = -8*g**2 + 6*g + 3. Let h(v) = -7*v**2 + 5*v + 2. What is -5*d(x) + 6*h(x)?
-2*x**2 - 3
Let n(l) = l**2 + l - 1. Let u(j) = 33*j**2 + 22*j - 22. Calculate 66*n(d) - 3*u(d).
-33*d**2
Let o(w) = -w**3 - w**2 - w + 1. Let a(h) = 66*h**3 + 55*h**2 + 55*h - 55. What is -a(i) - 55*o(i)?
-11*i**3
Let w(i) = 23*i + 1. Let x be ((-1)/(-2))/(2/12). Suppose -14 = -x*f + 4. Let s(c) = f*c - 5*c + c. Calculate -22*s(z) + 2*w(z).
2*z + 2
Let y(o) = o + 21. Let f(x) = -20. Calculate -3*f(k) - 2*y(k).
-2*k + 18
Let d(y) = 13*y**2 - 2*y - 2. Let u(c) = 352*c**2 - 55*c - 55. What is -55*d(i) + 2*u(i)?
-11*i**2
Let j(t) = -t**2 + 2*t. Let q(r) = -2*r**2 + 4*r. Suppose -2*b - u = -11, 0 = -b - 5*u + 3*u + 13. What is b*q(c) - 5*j(c)?
-c**2 + 2*c
Let x(u) = 4*u**3 + 3*u**2 + 3*u - 1. Let q(p) be the second derivative of 3*p**5/20 + p**4/6 + p**3/3 - 9*p. What is 3*q(b) - 2*x(b)?
b**3 + 2
Let t(o) = -o**3 - 16*o**2 + o + 21. Let f be t(-16). Let j(i) = -i**2 - 2*i - 2. Let w(z) = -3*z**2 - 5*z - 5. Determine f*j(r) - 2*w(r).
r**2
Let o(b) = 11*b**3 - 22*b**2 + 5*b - 9. Let j(t) = 6*t**3 - 11*t**2 + 3*t - 5. Calculate 5*j(u) - 3*o(u).
-3*u**3 + 11*u**2 + 2
Let j(t) = -10*t**3 + 10*t**2 + 10*t + 16. Let g = -13 - -13. Let c be (g - 2)/((-5)/40). Let m(z) = -3*z**3 + 3*z**2 + 3*z + 5. Determine c*m(l) - 5*j(l).
2*l**3 - 2*l**2 - 2*l
Let q(a) = 3*a**3 + 2*a + 1. Suppose -3*p - 3 = -0. Let r(z) = -z**3 - z. Calculate p*q(g) - 4*r(g).
g**3 + 2*g - 1
Let x(o) = -6*o - 3. Let w(s) be the third derivative of -s**4/6 - s**3/3 + 9*s**2. Give -8*w(r) + 5*x(r).
2*r + 1
Let b(j) = 47*j**3 - 7*j - 10. Let o(c) = -31*c**3 + 5*c + 7. Give 5*b(t) + 7*o(t).
18*t**3 - 1
Let d(w) = -3*w**3 + 2*w**2 + 4*w. Let j(g) = -6*g**3 + 4*g**2 + 7*g. Give 7*d(o) - 4*j(o).
3*o**3 - 2*o**2
Let c(k) = -1 + 4 + 6 - 8. Let x(j) = 2*j - 3. What is -4*c(n) - x(n)?
-2*n - 1
Let r(d) = -d**2 - d + 2. Let a(c) = -5*c**2 - 4*c + 8. Suppose 4*b = b + 6. Give b*a(z) - 9*r(z).
-z**2 + z - 2
Let z(f) = 3*f**3 + 2*f. Let y(r) = r - 121*r**3 - 123*r**3 + 245*r**3. What is -2*y(n) + z(n)?
n**3
Let s(g) = g**3 - g**2. Let m(z) = -2*z**3 + z**2 - 1. What is m(r) + s(r)?
-r**3 - 1
Let n(c) = c**2 - c - 3. Let k = -8 - -16. Let x = k + -13. Let w be 2 + 6/(-3) + -2. Let g(f) = 1. What is w*n(t) + x*g(t)?
-2*t**2 + 2*t + 1
Let v(i) = -2*i**2 + 3*i - 2. Let l be 120/(-36)*2/(-5). Let s(j) be the first derivative of -l*j**3 + 5/2*j**2 - 3*j + 1. What is -3*s(k) + 5*v(k)?
2*k**2 - 1
Let m(a) = 8*a + 5. Let l(d) = -d + 1. Let k(o) = -3*l(o) + m(o). Let b(q) = -4*q - 1. Determine 8*b(j) + 3*k(j).
j - 2
Let x(k) = -k**3 - k**2 - 1. Let y(t) = 5*t**2 + 15*t - 8*t - 3*t**3 - 9*t + 6 + 5*t**3. Give 5*x(p) + y(p).
-3*p**3 - 2*p + 1
Let w(v) = 8*v - 8. Suppose -d + 10 + 4 = 5*b, 2*b - 12 = -2*d. Let x(g) = 2*g - 2. Let f be 1 + (-8 - (1 - -1)). Calculate b*w(q) + f*x(q).
-2*q + 2
Let l(y) be the first derivative of y**2 - 3*y + 1. Let r(x) = -2*x + 3. What is -6*l(g) - 5*r(g)?
-2*g + 3
Let c be (0 + 5)*(-3 + 2). Let a(j) = -2*j**3 - 5*j**2 - 2*j + 5. Let r(q) = q**2 + q - 1. Calculate c*r(l) - a(l).
2*l**3 - 3*l
Let l(m) = m**2 - 2*m + 1. Suppose 2*b = -0 + 4. Let j = -17 + 29. Let i(k) = -j + 2*k**2 + 13 - k**2. Calculate b*i(n) - l(n).
n**2 + 2*n + 1
Let f(k) = 7*k + 10. Let w(m) = 6*m + 10. Determine 5*f(t) - 6*w(t).
-t - 10
Let z(r) = r + 2. Suppose 6 = -g - 2*g. Let q(s) = -1. Determine g*q(n) - z(n).
-n
Let o(u) = u**3 - 5*u + 3. Let q(c) = 2*c**3 - 11*c + 5. Calculate 5*o(r) - 2*q(r).
r**3 - 3*r + 5
Let d(l) be the second derivative of 3*l**5/20 - 2*l**3/3 - 2*l**2 + l. Let s(c) = 4*c**3 - 5*c - 5. Determine 5*d(i) - 4*s(i).
-i**3
Let h(m) = -17*m**3 - 3*m**2 + m - 3. Let o(i) = 17*i**3 + 4*i**2 - 2*i + 4. Give -4*h(d) - 3*o(d).
17*d**3 + 2*d
Let z(v) = -12*v - 6 + 6 - 7. Let t(o) = 4*o + 2. Give -7*t(a) - 2*z(a).
-4*a
Let y(p) = 2*p**2 + 2. Let t(b) = b**2 + 1. Let q(u) = 6*t(u) - 5*y(u). Suppose 4*f - f = -15. Let i = f - -8. Let d(n) = -n**2 - 1. What is i*q(z) - 14*d(z)?
2*z**2 + 2
Let j(d) = -60*d - 4. Let i(m) = -59*m - 5. Determine 4*i(z) - 5*j(z).
64*z
Let m(p) = 2*p + 2. Let c(b) = -b + 4. Let f be c(7). Let i(u) = -2*u - 3. Calculate f*m(a) - 2*i(a).
-2*a
Let a be (-4)/(-6)*3/1. Let f(p) = 3*p**2 + a*p - 2 - p**2 + 4*p**3 - 3*p**3. Let r(x) = -3*x**3 - 4*x**2 - 5*x + 5. What is -5*f(j) - 2*r(j)?
j**3 - 2*j**2
Let p(a) = a**2 + 7*a - 5. Let y be p(-8). Let d(o) be the first derivative of -o**3/3 + 3*o**2/2 + 3*o - 8. Let k(i) = 2*i + 2. What is y*k(f) - 2*d(f)?
2*f**2
Let u(b) = -4*b**2 - 3. Let y(l) = 5*l**2 + 4. Suppose -12 = -4*i - n, -2*n + 9 = 6*i - 3*i. What is i*y(x) + 4*u(x)?
-x**2
Le | {
"pile_set_name": "DM Mathematics"
} |
15*g + 2*v - 226 = 10*g. Which is the second biggest value? (a) 17.8 (b) -2/3 (c) g (d) -1/3
a
Let n = 18.3768 - 14.3768. Suppose -2*x - 3*j = j, 0 = -5*j. Let y(r) = r**3 + 2. Let z be y(x). Which is the smallest value? (a) -0.1 (b) z (c) n
a
Let x = 242 + -340. Let t = -1674/17 - x. Which is the second biggest value? (a) t (b) -4 (c) 0.5
a
Suppose 4*j - 58 = -22. Suppose -4*t = -t - j. Suppose 3*i - 31 = t*y - 8*y, -4*i + 8 = 0. What is the second biggest value in y, -3, -2?
-2
Let q = -924 - -921. Let r = -3.7 + -0.3. What is the third smallest value in r, -0.24, q?
-0.24
Suppose -423*b = 2*h - 420*b + 2, 3*b + 5 = -5*h. What is the biggest value in -2/5, 0, 0.16, h, -4?
0.16
Let q = -611731/68 + 8996. What is the second smallest value in 2/7, q, -1?
q
Let a = 3 + 1. Suppose -9*f - 13*f + 176 = 0. Suppose n - 3*x - f + a = 0, 5 = x. What is the third biggest value in n, -4, 3?
-4
Let a = -12.9 - -19. Let m = a + 0.9. Let y be 726/(-264) + 45/20. What is the second biggest value in y, 2/9, m?
2/9
Let c = -8 + 10. Let y = 154 - 172. Let b be 8 + 104/y + (-1 - 1). What is the second biggest value in c, -4, -5, b?
b
Let z = -47.07 - -0.07. Let t = z - -25. Let v = -21.9 - t. What is the smallest value in 5, -2, v?
-2
Let c = 9.6 + -9.7. Let x = 39.5 + -39.5. What is the third smallest value in x, c, -0.5, 0.2?
x
Let t = 1905.9 - 1905. Which is the second smallest value? (a) -0.21 (b) t (c) 3
b
Let s = -7.93 + 7.73. Which is the third smallest value? (a) 0 (b) s (c) -58
a
Let p = -630976/5 - -126196. Let l = -27 + 9. Which is the second smallest value? (a) l (b) 0.3 (c) p (d) 0.1
d
Let q be 85*(((-13)/(-26))/(290/(-24)))/(-3). What is the third smallest value in -0.3, q, -0.1?
q
Let t = 15659.5 - 15660. What is the fourth biggest value in -1.4, 0.3, -5, t?
-5
Let d be 1/21*(-408)/(-170)*(-15)/(-4). What is the biggest value in 0.1, -8.68, d?
d
Let y = 209.1 - 197. Let n = y + -11.8. Let j(k) = k**3 - 6*k**2 + 2*k - 1. Let l be j(6). Which is the biggest value? (a) n (b) 3 (c) l
c
Let x(d) = d - 5. Let v be x(9). Let o = 70.448 + -76.248. What is the biggest value in v, o, -5?
v
Let f be (6/(-132))/(3/11). Let x(d) = 2*d + 8. Let b be x(6). Let h be b/24 - 2/4. What is the fourth biggest value in -3, f, h, -4?
-4
Let i = 0.5 + -0.7. Let t = 0.1 - i. Let w = -369.8 + 370. What is the second smallest value in t, w, 4, 2/5?
t
Let o = -31.089 - -0.089. Let c = -30.964 - o. Let l = -0.464 - c. What is the second biggest value in 3, -2, 5, l?
3
Let i(s) = s**3 - 4*s**2 - 7*s - 1. Let x be i(6). Suppose x*t - 83 = 4. What is the fourth smallest value in t, 2, 4/7, 14?
14
Suppose -32 = 2*u - a, -4*a + 41 = -4*u - 23. What is the smallest value in 0.3, 5, u, -0.3?
u
Let i = 7 - 3. Let j = 0.00198 + 0.99802. Suppose -11 = -5*w + 4. Which is the fourth smallest value? (a) i (b) 1/6 (c) w (d) j
a
Let l = 20.76 + 1.24. Let g = 5 + 5. Suppose -2*b = 3*b - g. What is the second smallest value in 1, l, b?
b
Let q = 3460 + -3459. Let l = -8 + 8.5. What is the second biggest value in q, l, 3/8, 3/5?
3/5
Let p = 760615/8 - 94948. Let z = p - 129. Let m = 4 + -9. Which is the third smallest value? (a) z (b) -12 (c) m
a
Let q = -0.5 + 0.2. Let o be (-319)/77 + 5 + 176/56. What is the fourth smallest value in -0.2, q, -3, o?
o
Suppose 4*j = -j. Suppose -12 = 2*n - j*n. Let r = -3468 + 3467.9. What is the smallest value in -1/5, n, r?
n
Let h = -3.6 + 3.223. Let u = 39.377 + h. Which is the third smallest value? (a) 2 (b) u (c) -2/5
b
Let f(l) = -l - 10. Let t be f(-13). Let b = -140 + 138. Let m be (2 - (-1)/b) + (-9 - -5). What is the second smallest value in 0.2, t, -3/7, m?
-3/7
Let y be ((-14)/126)/(15/18). Let w be 2 + (20/(-45))/1*3. Which is the third biggest value? (a) y (b) w (c) 31 (d) -4/7
a
Let x = 1.9922 - -0.0078. Let t be (8/20)/(2 + -1 + -3). Which is the third biggest value? (a) t (b) 6 (c) x (d) -1
a
Let s = -0.3825 - 745.9175. Let b = 746 + s. What is the second biggest value in b, -2/3, -3/2?
-2/3
Let q = -0.4 - -0.3. Let s = -1845 + 1842. What is the second smallest value in s, q, 0.3?
q
Let v = -277 + 277.3. What is the second smallest value in v, 112.8, -3, -0.4?
-0.4
Let s be (-750)/216 - 15/20. Let h = -73/18 - s. Let n be 3/(-2)*4/(-60). Which is the second smallest value? (a) 3/7 (b) 2/7 (c) h (d) n
c
Let l = -35 - -38. Let q = -3.57 + -1.67. Let u = q - -1.24. What is the smallest value in -7/4, u, l?
u
Let x be 3/9 + (-3)/18. Let o be 3248/(-252) - (-104)/8. Which is the second biggest value? (a) -3/2 (b) o (c) 35 (d) x
d
Suppose 2*r + 2*f - 118 = -134, -2*f - 23 = -5*r. Which is the fourth smallest value? (a) r (b) -9 (c) -8/5 (d) -5/6 (e) -3
d
Let j = -496 + 495.7. Which is the smallest value? (a) j (b) -25 (c) 1
b
Let p = -471.304 - -473. Let u = p - 1.8. Let y = u - -0.504. What is the third smallest value in -1/3, y, -0.44?
y
Let q = 175.88 - 2.88. Let f = -172.5 + q. What is the third biggest value in f, -30, 5?
-30
Let y = 1319.05 - 1277. Let a = 42 - y. Let b = -51 - -155/3. What is the second smallest value in a, b, 1/8?
1/8
Let g = -0.2039 + -0.0961. Let c = 667/3 - 222. What is the third smallest value in c, g, -1/3, -1?
g
Let d be 3/(-12) - 1/2. Let w = 5074.2 - 5073.7. What is the smallest value in 2/15, d, w, -1?
-1
Let g = 581.9 - 557. Let p = -20.9 + g. Which is the second biggest value? (a) p (b) 1 (c) -0.8
b
Let l be ((4 - 2)*(-2)/4)/(675951/(-1758)). What is the smallest value in -0.2, l, 7?
-0.2
Let n = 28.929 - -0.071. Let s = -69 + 44. Let l = n + s. Which is the third biggest value? (a) l (b) -3/8 (c) 22
b
Let i = 26 + -86. Let r = 52 + i. Let b = r - -7.95. What is the fourth biggest value in -4, -2/7, 1, b?
-4
Let k = -43984 - -43985. Let u = -2.7 + 3. Which is the smallest value? (a) k (b) -2 (c) u
b
Suppose 2*w - 94 + 358 = 0. Let x = w + 128. Which is the third smallest value? (a) 0 (b) 4/5 (c) x
b
Let p be 1/(-18)*(-1236)/(-8). Let n = p - -13/12. Let r = 2792/9 - 310. Which is the biggest value? (a) r (b) 2/5 (c) n
b
Let g = -11.67 - -15.67. Which is the smallest value? (a) 2.57 (b) 0.3 (c) 2 (d) g
b
Let s = -39.88 + 40.28. What is the smallest value in -5, s, 6?
-5
Let t = -2361 - -2363. Which is the biggest value? (a) 1 (b) t (c) 5 (d) -1
c
Let x be (-2)/5 + 266/285. Let g = -43/60 - x. What is the second smallest value in 2, -3, 0.1, g?
g
Suppose -24*l + 20*l - 4 = 0. Let y = -64 + 65.1. Which is the second biggest value? (a) y (b) -0.5 (c) l (d) 3/7
d
Let n = 0.4632 - 0.1632. Let o be 3 + 213/(-138)*2. What is the third biggest value in -1/8, o, n, -1/6?
-1/8
Let k(j) = -103*j + 1657. Let o be k(16). Which is the third smallest value? (a) -1/16 (b) o (c) -1
b
Let m = 333 + -481. Let k = -143 - m. What is the third biggest value in k, -1, 4?
-1
Let z = 1030 + -1085.4. Which is the third smallest value? (a) -2/5 (b) -4 (c) z
a
Let t = 198.41 - 198.81. Let q = -2 + 5. Which is the fourth smallest value? (a) t (b) -2 (c) q (d) -0.6
c
Let j = -99 - -46. Let r = j - -53.2. Let c = 40.4 - 40. What is the smallest value in 0.12, c, r?
0.12
Let u = 7.046 + 7.954. What is the third biggest value in -3, 1, 4/3, u?
1
Let l = -9940 - -9955. Which is the third biggest value? (a) l (b) -13 (c) -4/3
b
Let z = -7741.96 - -7742. Which is the second biggest value? (a) 10 (b) z (c) 2/41
c
Let s be (2 - 1 - 1)*(495/(-33))/(-60). What is the second biggest value in 4, s, -17, 145?
4
Let q = 0.24132 - 0.23932. Suppose 3*j - 8*j = -5. What is the biggest value in j, q, 0?
j
Let g be 2*(-2)/12*(12 + -6). Let k = -0.1 - -0.3. Let d be 3 - 6 - -6 - -1. Which is the third biggest value? (a) d (b) g (c) k
b
Let g be 8/(-22)*((-6)/4 + 1). Let o(s) = s**2 - 26*s + 45. Let z be o(24). Which is the fourth smallest value? (a) -0.2 (b) z (c) g (d) -2/5
c
Let l = 51 - 128. Let h = 76.994 + l. Let z = h + -0.394. What is the second smallest value in z, -2/59, -3?
z
Let v be (814/(-3762) - 4/(-38))*-2. Which is the third biggest value? (a) v (b) -205 (c) 0.3
b
Let p be 16/6 + (-1 - 1). Let u = -8485.9 - -8485. Let f = -857/7 + 122. Which is the third biggest value? (a) -0.5 (b) p (c) u (d) f
a
Let w be -9 + 4 + 3 + (0 - -1 - | {
"pile_set_name": "DM Mathematics"
} |
second smallest value? (a) -3 (b) -5 (c) 31 (d) -4226
b
What is the fourth smallest value in -2/1395, -0.5, -2, 35427?
35427
What is the second smallest value in 12/6709, -4/7, 2, 0.02, 41?
12/6709
What is the biggest value in 10, -3, -1.6, 22.87, 3?
22.87
Which is the smallest value? (a) -4 (b) -1.22 (c) 0.1 (d) -22.35
d
What is the third smallest value in 3/5, 2/7, -13.96, -66, -1?
-1
Which is the third biggest value? (a) 0.3 (b) -1/201 (c) -15.2 (d) 0.5 (e) 5 (f) 6 (g) 2/7
d
Which is the fourth smallest value? (a) 5/2 (b) -98 (c) -1525 (d) -4
a
What is the fourth smallest value in -1/2, 11, 2/17, -3/2, -238, -0.41?
-0.41
What is the biggest value in -2/11709445, -0.5, -12/5?
-2/11709445
Which is the third smallest value? (a) -2/115 (b) 52 (c) -1057/2 (d) -0.2
a
What is the second biggest value in 2, -6, 0.4, -3/31, 175?
2
What is the fourth biggest value in -39, -5, -0.4, -143, -4, -0.5, -0.51?
-4
Which is the second biggest value? (a) 22 (b) -48 (c) -2/17 (d) 64 (e) -0.5
a
What is the biggest value in -2, -6, 9115, -0.106?
9115
Which is the third biggest value? (a) 1/2 (b) 1910/3 (c) 2/3 (d) 1 (e) -156
c
What is the smallest value in 2/279, 0.4, -39932?
-39932
What is the sixth biggest value in 2/5, 2/3, -20, -1/7, 22/47, -1/2?
-20
Which is the smallest value? (a) 223/4 (b) 5 (c) -2 (d) -1/5 (e) 2/17 (f) -2/9 (g) -29
g
What is the sixth biggest value in 1/4, -0.3, 1.2308, 5/3, -5, -4, 2?
-4
What is the second smallest value in -2, 90803, -439?
-2
Which is the sixth biggest value? (a) -0.3 (b) -8313 (c) 0 (d) -0.2 (e) -7/6 (f) -2
b
What is the fourth smallest value in 2/3, 3173, 3, -1, -0.03?
3
Which is the fourth biggest value? (a) 69092 (b) 2/13 (c) 0 (d) 1
c
What is the biggest value in -43, 384, -2/13, -4, 1?
384
What is the second smallest value in 31, -3/7, -3, -0.5, 1.03, 1?
-0.5
What is the second biggest value in 32783548, -1, 0.1?
0.1
What is the third biggest value in 1451, -255, -1.9, 2, 4, 2/5?
2
Which is the second biggest value? (a) 71 (b) -3 (c) 0.145475 (d) -1/10
c
What is the third smallest value in -67, -32/39, -1.337?
-32/39
Which is the second biggest value? (a) 3/709 (b) 0.03 (c) -1/3 (d) 1
b
Which is the fourth biggest value? (a) 0 (b) -0.4 (c) 5 (d) 0.1 (e) -56717
b
Which is the second biggest value? (a) 363 (b) -2/3 (c) -8/143
c
What is the third biggest value in 3/4, 78263.5, -11?
-11
What is the fourth biggest value in 10, -1/23, 152, -1.2, -12?
-1.2
What is the third biggest value in 112, 2, -0.73, 4/11?
4/11
What is the fourth biggest value in 22.8, -2/7, -179, 4, 1, -3/5, -0.2?
-0.2
What is the fifth smallest value in -4/3, -1/12, 0.3, 47979.8, 0?
47979.8
Which is the biggest value? (a) -13543 (b) -0.052 (c) 39/7 (d) 2
c
Which is the second biggest value? (a) 1 (b) -1/3 (c) -0.3 (d) -27/2 (e) -965 (f) -0.5
c
Which is the sixth biggest value? (a) -5/4 (b) 2 (c) -14 (d) -1/5 (e) -2 (f) -5
c
What is the third smallest value in -0.14, -4, 3.7, 3, 1/5, -2/17, 2/89?
-2/17
Which is the smallest value? (a) -2.0504642 (b) 5 (c) -11
c
What is the second biggest value in -25, 5, -2/17, -5, -56, -0.06, -4?
-0.06
Which is the third biggest value? (a) -3.2 (b) -1 (c) -5381/11 (d) -27
d
Which is the third smallest value? (a) -5 (b) -34455 (c) 5 (d) 2/43 (e) -0.6 (f) 0
e
What is the fifth smallest value in 20, -3, 10/169, -115, -3/7, 3/7?
3/7
Which is the third smallest value? (a) 64 (b) -1/70186 (c) -8
a
What is the biggest value in -0.2171493, 0.3, -4?
0.3
Which is the fourth smallest value? (a) -3/4 (b) -0.2 (c) 2 (d) 1/17143 (e) 0.3 (f) 1
e
Which is the second biggest value? (a) -567.4 (b) 2/5 (c) -3680
a
What is the third biggest value in 12097/9, -0.3, 1?
-0.3
What is the second biggest value in 7, -2, 2/49, 0.35, -1, -4, 174?
7
What is the third biggest value in -2/379, 1/2, -9, 3, -1/6, 3/4, -5?
1/2
What is the third biggest value in 0.3, -3, 4, -1305, -0.9, -0.7, -1?
-0.7
What is the third smallest value in 23, -1330, 2/19?
23
What is the second smallest value in -2/93, 13/3, -1, 2/7, -5, 0.8?
-1
Which is the sixth biggest value? (a) 0.2 (b) -10 (c) 2/7 (d) -0.73 (e) -4 (f) -218 (g) -2/13
b
Which is the biggest value? (a) -2 (b) 64/11 (c) 0.0634
b
What is the third biggest value in -0.086, -11/26, 7/111?
-11/26
What is the fifth smallest value in 0, 7, -108, -4, -4/3, -0.1, -1?
-0.1
Which is the second biggest value? (a) 3/2 (b) -2/5 (c) 7 (d) -356 (e) 61
c
Which is the third smallest value? (a) -2/7 (b) 27476/45 (c) -4
b
Which is the fourth smallest value? (a) 1/3 (b) 12100 (c) 2/43 (d) -119
b
What is the smallest value in -3/4, 6/5, 3/23, 14, -15?
-15
What is the biggest value in 170722, -1/107, -1/6?
170722
What is the second smallest value in -0.0077, 4, 7609?
4
Which is the fourth biggest value? (a) 3/109 (b) -0.34 (c) -1 (d) 29 (e) 5
b
Which is the third biggest value? (a) -0.19345 (b) -0.1614 (c) -2 (d) 2
a
What is the second biggest value in -2, -0.4, -2/525, 4271?
-2/525
What is the third biggest value in -3156, 0, -7?
-3156
What is the biggest value in 1, -0.0419, -291347?
1
What is the third smallest value in 4711, -1/35, -2/7, 0?
0
Which is the third biggest value? (a) -0.3 (b) 2/5 (c) -0.1156 (d) -0.1695
d
What is the fourth biggest value in -976, -56, -2/5, -20?
-976
What is the second biggest value in 59, -5, 1/2, 0.0744?
1/2
Which is the smallest value? (a) 0.62 (b) 0.1 (c) -0.071 (d) -1/4 (e) 0 (f) -52 (g) 0.2
f
Which is the fifth smallest value? (a) 4 (b) 2 (c) 2.898 (d) -2 (e) -365
a
Which is the fifth biggest value? (a) -1/5 (b) 1 (c) 4 (d) 0.0116 (e) -1 (f) -3 (g) -40
e
Which is the fifth biggest value? (a) -9 (b) -0.1 (c) -1 (d) 2 (e) -4/19
a
Which is the smallest value? (a) -4 (b) -3/4 (c) -0.5 (d) -92002/7 (e) 27 (f) 0.2
d
What is the fourth smallest value in 12448, -0.5, -6, 1/7, -3, 1/4?
1/7
Which is the biggest value? (a) 12 (b) 5 (c) -6/11 (d) 29822
d
What is the smallest value in 1/10, -1, -5.5, -26, 23, -0.05, -2?
-26
What is the second smallest value in 0.9, -1, -6/65, -3/4, 0.00172?
-3/4
What is the fifth smallest value in 2.8, -31, 257, 1, -4, 6?
6
What is the biggest value in 1, 93, -10, 43/191?
93
What is the smallest value in -35, -0.41, 0.4, -8.7, -4, 0.1, -1/2?
-35
Which is the fifth biggest value? (a) -2/531 (b) 1/31 (c) -1 (d) 5 (e) -0.373
c
Which is the third smallest value? (a) 2/1413 (b) 2/7 (c) 1 (d) -14.9 (e) 1/3
b
Which is the fifth biggest value? (a) 0.5 (b) -1 (c) 19 (d) -4 (e) 1581 (f) 46
b
What is the second biggest value in 0.4, 0.32, 0.0514, -1, 2/13?
0.32
What is the third smallest value in -0.11, -285, 734.5, -3, -2/19?
-0.11
What is the sixth biggest value in 0, 1/7, 1, 4, -3321, 3.17?
-3321
Which is the third biggest value? (a) 50 (b) -0.2 (c) -0.58 (d) 4 (e) -1.2
b
What is the third smallest value in -2, 17, 0.06, 297, 2/3?
2/3
Which is the fifth smallest value? (a) 0.04 (b) 5 (c) -5 (d) -8 (e) 27 (f) 178.5 (g) 4
b
Which is the second biggest value? (a) -1 (b) 4 (c) -11834
a
What is the fourth smallest value in -0.5, -0.76, 3, -2/3, 565, 2/7?
2/7
What is the fourth biggest value in 2, 5/2, 2/37, -787, -2?
-2
Which is the sixth biggest value? (a) -0.5 (b) 1426 (c) 1 (d) -5 (e) 3 (f) 2/9
d
Which is the third biggest value? (a) 33 (b) -171/5 (c) -11 (d) 1
c
What is the biggest value in 2/3, 0.030135, -6/13, -3?
2/3
Which is the sixth smallest value? (a) -5 (b) 0.5 (c) -4 (d) -52 (e) -0.316 (f) -2 (g) -0.4
e
Which is the fourth smallest value? (a) 36 (b) 0.52 (c) 0.2 (d) -29 (e) 14.5 (f) 3
f
What is the third biggest value in 424, -186, -1.7, 0.1, -1?
-1
Which is the biggest value? (a) 4 (b) 0.281 (c) -16 (d) -1 (e) 0.01 (f) -5 (g) -0.5
a
What is the fifth smallest value in 5, 4, -709, 8/9, 0.4?
5
Which is the third smallest value? (a) 19 (b) -3 (c) 3 (d) -0.6 (e) 0.4 (f) 4 (g) -1
d
Which is the third biggest value? (a) -67 (b) 9/31 (c) -1.1 (d) -4 (e) -0.5
c
What is the third biggest value in 656638, -29, 1?
-29
What is the second smallest value in 2, 838456.7, 0.24?
2
What is the third biggest value in -0.6126, -1/ | {
"pile_set_name": "DM Mathematics"
} |
p**(1/3)*p**(2/3))**50)**(-49))**(3/11) assuming p is positive.
p**(-7350/11)
Simplify (o/(o**(-1/2)*o)*o*o*o*o/(o*(o/o**(-1/2)*o)/o)*o*o*o*(o/(o**(-2/3)*o))/o*o**8)/(o/(o**10*o*o)*o*o*o**(10/7)/o)**7 assuming o is positive.
o**(218/3)
Simplify (a**7*a*a*a/(a/a**3))**(-5/12)*(a**(-2/3)*a*a*a**(7/5))**(-4) assuming a is positive.
a**(-239/15)
Simplify ((l**(-2/3)*l**(1/15)/l)/((l/(l/(l/l**2)))/l)**35)/((l/(l*(l**4/l)/l))/l*l/((l/l**4)/l)*(l**1)**(-24/7)) assuming l is positive.
l**(2444/35)
Simplify d*d**(-1/11)*d*d*d**(-36)/d*((d/(d/d**6))/d)**(-48) assuming d is positive.
d**(-3015/11)
Simplify (m/((m/((m/(m/m**1))/m*m))/m))/(m/(m*m**(-4/9)))*m*(m*m*m**(3/8)*m)/m*m**5*m*(m/m**0)**(-6/29)*m**(-1/10)/m*m*m/(m/m**(-1/7)) assuming m is positive.
m**(765937/73080)
Simplify (((h**(2/3)/h)**(-32/7)*h**(1/8)/(h*h**(-6/7)))**(-10/3))**(-19) assuming h is positive.
h**(24035/252)
Simplify ((((b*b**(1/9))/b)/(b**(-2)*b)*b/(b/(b**(-3/2)/b)*b)*b*b**(-5))**(19/2))**(-17) assuming b is positive.
b**(37145/36)
Simplify (((g**1)**24*(g/g**7)/g**(4/3))**42)**(-1/5) assuming g is positive.
g**(-140)
Simplify (j/j**(1/4))/j**(-6)*(j*j/(j/j**(-1/4)))**41*((j/j**(-1/2))/((j/j**(-1/3))/j))/(j**(-1/3)*j*j*j/j**(-1)) assuming j is positive.
j**35
Simplify ((n*n/(n/(n/(n**(-7/5)*n))))/(n*n**(-3)*n)*n/((n/((n/n**(-7))/n))/n)*n*n**(-1/10))/((n/(n*n**(-6)))/n**(-3))**(1/3) assuming n is positive.
n**(93/10)
Simplify (x**(-8)/x**(-3/11)*(x*x**(6/13))/(x*x*x**(-10)))**(-22) assuming x is positive.
x**(-496/13)
Simplify (c**(-7)*c**(-2/15)*c*c*(c/(c*(c*c**(-19))/c))/c**2)**46 assuming c is positive.
c**(8188/15)
Simplify (d**(-2)/d*d**1)/(d**(-16/5))**41 assuming d is positive.
d**(646/5)
Simplify m**20*m*m**(-31)*(m*m*(m*m*m*m**(-3/43)*m*m)/m)**7 assuming m is positive.
m**(1355/43)
Simplify ((j**(-2/13)/j)/j**(-2/7))/((j*j/j**(-1/6)*j)/j*j*j**(-3/2))*((j**5/j)/(((j**0/j)/j)/j*j))**(-43) assuming j is positive.
j**(-71126/273)
Simplify (b*b**15*b*b*b*b**(-12)/b*(b/b**(3/2))/(b/(b**(-2/23)*b)*b))**16 assuming b is positive.
b**(1624/23)
Simplify (c**(4/9)/c**(1/2)*(((c**(-2/21)*c*c)/c)/c)/(c/c**(1/3)))/((c*c**0)/c*c/(c/(c/c**(5/3)))*c*(c*c*c**1)**(-20)) assuming c is positive.
c**(7415/126)
Simplify (((((o/(o*o**(1/17)/o)*o)/o*o)**(-1/33))**(-33))**17)**(-1/6) assuming o is positive.
o**(-11/2)
Simplify ((y/y**(2/7))**(-24)*y**7/(y/((y**(-6)*y)/y)))/(y/(y/y**3)*y**(1/5))**(2/13) assuming y is positive.
y**(-8024/455)
Simplify ((u*u*(u*u*u**1*u)/u)**(-37))**(-1)/(u**(2/11)*u*u*u*(u**(4/3)/u)/u)**(-13/2) assuming u is positive.
u**(13289/66)
Simplify ((m*(m/(m**1/m*m*m))/m)**(3/19)/(m**(-22)*m/(m/m**(-10))*m))**(2/33) assuming m is positive.
m**(1172/627)
Simplify (m**1/m)**(-46)*m*(m/(m/m**(-2)))/m*m**(2/15)*m*m**(-3)*m*m**5*m**4/m**(1/4) assuming m is positive.
m**(353/60)
Simplify (x*x**(-2/17))/(x*(x*x**(-3/10))/x)*(x**(12/11)*x*x)**23 assuming x is positive.
x**(133281/1870)
Simplify (z**(5/6)*z*z**(1/6))/(z**2/z**(-5))*(z*z**(1/7)*z**5)**(-1/40) assuming z is positive.
z**(-1443/280)
Simplify ((f*f/(f/((f*f**5)/f))*f*f*((f/(f*f*f*f**(4/15)))/f)/f*f)/(f*((f/f**1)/f)/f*f*f/((f*f**(6/5))/f)*f))**(-3/5) assuming f is positive.
f**(-59/25)
Simplify (q**(-3/4)*q*q**(1/12))/((q/(q*q**(-2/3)/q))/(q/q**8))*(q**(-1/4)/((q/(q*q**1))/q))**14 assuming q is positive.
q**(97/6)
Simplify (t*t**(1/10)*t/(t**2*t))**(-36)/((t**(3/4)/t**(1/7))/((t*t**(-1/2))/(t**(-4)*t))) assuming t is positive.
t**(4941/140)
Simplify ((s*s/s**25)/s)**(-7/12)*s**9*s**(2/133) assuming s is positive.
s**(3061/133)
Simplify ((g*g/((g/(g*(g**(-2/11)*g)/g)*g)/g))/g**7)/(g**1)**(8/5)*((g*((g/g**(-7))/g)/g)/(g*g**6))**(9/10) assuming g is positive.
g**(-373/55)
Simplify (h**(-1)/h)**(3/14)*(h*h/(h*h*h/h**(-2/3)*h*h*h))/h**(-4)*((h*h*h/(h**(2/7)*h))**(-2/3))**(-29) assuming h is positive.
h**(673/21)
Simplify (c**(3/5)*c/((c**(2/3)/c)/c))**(-39)*((c**(1/2)/c)/c)**(-20/11)/((c/c**(-8)*c*c)/c**(-2/11)) assuming c is positive.
c**(-6757/55)
Simplify k**(1/5)/k*k**(-4)*(k*k**(-1))/(k/k**4)*((k*k**(2/11))/k*k*k**1*k)**30 assuming k is positive.
k**(5151/55)
Simplify (l**(2/5)*l)**40*(l**(-7)/l)/l*l*l*l*l**5*l*l*l*(l*l*l**7*l**(-1/4))/((l/(l/(l/(l*l/(l*l/(l**(5/4)*l)*l*l)))))/l**(-5)) assuming l is positive.
l**61
Simplify ((w/(w*w*w*((w/w**(2/19))/w)/w*w))**(-4/5)/(w*(w/(w*(w/(w*w**3/w))/w))/w)**27)**(-47) assuming w is positive.
w**(354897/95)
Simplify ((v/v**(1/2))**(-2/69))**(2/23)/(v**(-1/2)*v**(1/3))**(-1/47) assuming v is positive.
v**(-239/49726)
Simplify ((p*((p**(-2/5)*p)/p)/p)**22*(p**0)**(5/3))/(p/(p/(p*p*p**(2/17)))*p/(p*p**(4/11))*p)**(1/36) assuming p is positive.
p**(-298783/33660)
Simplify ((l**(-2)/l*l*l**(1/13))/(l**(2/5))**(-19/3))/((l**0)**(10/11)/(l**(-1/2)*l*l**(-6))) assuming l is positive.
l**(-1907/390)
Simplify ((((u**(-1/4)*u)/(u/(u**(-7)*u*u)))/(u**(-6)/(u*u**5)))**(-2/15))**4 assuming u is positive.
u**(-18/5)
Simplify h**(-1)*h**(-7)/h*(h**0)**(1/67)*((h*h**2)**(1/20))**(5/6) assuming h is positive.
h**(-71/8)
Simplify ((u**(-8)*u*u**9*u**(2/13)/(u*u*u/(u**(3/7)/u)*u*u))**41)**(-34) assuming u is positive.
u**(433534/91)
Simplify (((h*h*h**(-3))/h)/h**7)/(h**(-1)*h**(2/3)*h)*(h*h*h/h**(-2/9))**(-22)*h**(-3)*h**(-5) assuming h is positive.
h**(-797/9)
Simplify (z**(2/17)/(z/(z**(-5/4)/z))*(z*z**(-1))**(-4/7))/((z**(2/15)*z)/z**(2/9))**(-26) assuming z is positive.
z**(62903/3060)
Simplify (g/((g*(g/(g**(-4)/g))/g)/g)*g**0)**39*g**(-1)*g**(-2/5)*g*(g**7*g)/g*(g**(2/9)*g)/g*g assuming g is positive.
g**(-6668/45)
Simplify ((m**(-1))**(-24/5)*(m**(-1))**(23/3))/((m**(2/7))**(-34)/(((m*m*m**(-3)*m)/m)/(m**(-4)*m))) assuming m is positive.
m**(929/105)
Simplify ((r**(-5/3)/(r/(r*(r*r**(-1/8))/r)))/(r**(-2/3)*r**(1/2)))/(r/(r/(r**(-1/2)/r))*r*r**3*((r/r**(-2/7))/r)/((r**(-3/5)*r*r*r)/r)) assuming r is positive.
r**(-843/280)
Simplify (s**(-10)/(s*s*s*s**(-2/19)*s))**(6/7)/(s/(s**(1/6)*s)*s**(-2/17))**(2/25) assuming s is positive.
s**(-2015743/169575)
Simplify (((d*d**(-5))/(d**(-1)*d))/(d**(-1/2)/d**5))/((d*(d*d**(-1)/d*d)/d)**(-3/17)/((d/d**(-1/9))/d*d**(3/8))) assuming d is positive.
d**(143/72)
Simplify ((((a*a*a/(a**(-3/8)/a))/a**6)/(a**0/a**(1/2)))**(-32/3))**(1/33) assuming a is positive.
a**(4/11)
Simplify ((f**(1/5)/f*f**(-11/4))/((f*f/f**(4/13)*f)/(f*f*f**1*f)))**(-1/10) assuming f is positive.
f**(583/2600)
Simplify (o**3/o*o**(-4/5))**(-8/13)*((o/(o/(o/o**(2/21))))**(2/19))**(-3/16) assuming o is positive.
o**(-2753/3640)
Simplify (i*i**(-1/7)*i*i**(-1/2))**1/((i**(2/5))**(-35)*(i**(-1/3))**(-32)) assuming i is positive.
i**(197/42)
Simplify (((f*f/f**(-1/4))/f*f)**(5/4)/(f**(-6)/(f*(f*f**4*f*f)/f)))/(f**(-1/6)/f*f**(1/7))**(2/3) assuming f is positive.
f**(16627/1008)
Simplify (((w**(2/15)/(w/(w/(w/(w**(-3/7)/w)*w*w))))**(-8))**(-8))**(4/29) assuming w is positive.
w**(-115456/3045)
Simplify (((k/(k*k/(k/(k/(((k*((k/(k**(-6)/k)*k)/k)/k)/k)/k)))))/k)**(3/5)/(k**6*k*k*k)**(-16/5))**(1/31) assuming k is positive.
k**(156/155)
Simplify u**3*u*u**(2/3)*u**(2/9)*u/(u/(u**(1/3)*u*u))*u*(u**(-3)*u/((u*u/(u**(-6/7)*u*u))/u))/(u**(-6)/u*u*u*(u*u*u**0)/u) assuming u is positive.
u**(653/63)
Simplify (((q*q**(4/7))/q**(-2/5))/((q/(q*q/q**2))/q)**(-5/2))/((q/q**(-2/5)*q*(q*(q*q**(-8/3)*q)/q*q)/q)/((q**(-8)/q*q)/(q*q**(1/3)))) assuming q is positive.
q**(-191/21)
Simplify (((b*b/b**(-1))/b)/b*b**(-3)*b**(-1/6)/(b*b*b*b**(-2/11)*b*b))/(((b*b**0)/(b**(2/15)*b))/((b**2*b)/b**(-1))) assuming b is positive.
b**(-941/330)
Simplify ((t*t*t**(-3/4)*t/(t*t*t*t**(5/2)))/(t**(-5/3))**(-1))**(-17/6) assuming t is positive.
t**(1003/72)
Simplify ((f**2/(f/(f**(-30)/f)*f))/((f/(f/(f*f**(-37))))/(f*(f/f**(-32))/f)))**(-5/11) assuming f is positive.
f**(-190/11)
Simplify (h**(5/2)/h**(2/13))**(-1/43)*(h*h*h/(h/h**(1/2))*h*h/(h*h**(-1/2)*h))**(-18) assuming h is positive.
h**(-60433/1118)
Simplify (((o**(-1))**(2/9)/(o**(-1/2)/o)**13)**(-41))**(4/5) assuming o is positive.
o**(-28454/45)
Simplify ((k/(k/k**(-2/9)))**(2/41)*k/k**7*(k/(k*k*k*k*k**(-4)*k))/k)/((k*(k*(k/(k/k**13*k))/k*k)/k)/(k**(-11)*k))**38 assuming k is positive.
k**(-325093/369)
Simplify (p**(-1))**(-1/35)*p**(2/19)*p**(1/8)*((p/(p*p**(2/15)))/(p/(p**4*p)))**(-9/8) assuming p is positive.
p**(-4353/1064)
Simplify (w**(1/6)/w**(-2/29))**5*(w/(w | {
"pile_set_name": "DM Mathematics"
} |
rs picked without replacement from kkmvkkkggmgkb. What is prob of picking 1 g and 3 k?
12/143
Calculate prob of picking 4 l when four letters picked without replacement from llflllfhh.
5/126
What is prob of picking 2 j and 1 c when three letters picked without replacement from twtdjjc?
1/35
Four letters picked without replacement from pappa. Give prob of picking 4 a.
0
Two letters picked without replacement from {h: 1, o: 2, m: 1, k: 2, b: 2, a: 1}. Give prob of picking 1 o and 1 a.
1/18
What is prob of picking 1 f, 1 p, and 1 m when three letters picked without replacement from {p: 1, m: 2, f: 2}?
2/5
Four letters picked without replacement from {p: 8, e: 5, h: 4, k: 2}. Give prob of picking 2 p and 2 k.
7/969
Two letters picked without replacement from {e: 12, d: 3}. Give prob of picking 1 d and 1 e.
12/35
Two letters picked without replacement from {x: 6, b: 2}. Give prob of picking 2 b.
1/28
Four letters picked without replacement from ccczzccc. Give prob of picking 3 c and 1 z.
4/7
Calculate prob of picking 1 j and 2 i when three letters picked without replacement from ppjpjjjjippppjji.
1/80
What is prob of picking 1 m, 1 x, and 1 l when three letters picked without replacement from {l: 3, y: 1, t: 2, a: 3, x: 1, m: 1}?
1/55
Two letters picked without replacement from tajtatttjttjjtaaja. Give prob of picking 1 a and 1 j.
25/153
Four letters picked without replacement from aacppappqapccqacaqqc. What is prob of picking 2 p, 1 a, and 1 q?
16/323
Calculate prob of picking 1 u, 1 j, and 1 n when three letters picked without replacement from {q: 1, j: 2, n: 2, u: 1, a: 6}.
1/55
What is prob of picking 1 a, 1 l, and 2 r when four letters picked without replacement from arlrr?
3/5
Two letters picked without replacement from gggggiigiggigg. Give prob of picking 2 g.
45/91
Calculate prob of picking 1 q, 1 c, and 1 d when three letters picked without replacement from {q: 2, e: 1, m: 2, d: 1, c: 2}.
1/14
Four letters picked without replacement from {u: 9}. What is prob of picking 4 u?
1
What is prob of picking 2 y when two letters picked without replacement from fygfysfff?
1/36
Four letters picked without replacement from uxumamm. What is prob of picking 1 u, 1 a, and 2 m?
6/35
What is prob of picking 1 a, 1 o, and 1 p when three letters picked without replacement from zzaoaxpazzmxppaxxap?
20/969
Two letters picked without replacement from nnqylnvnynnyvn. What is prob of picking 1 n and 1 y?
3/13
What is prob of picking 1 k and 1 q when two letters picked without replacement from {p: 2, v: 5, o: 1, q: 2, k: 2, m: 1}?
2/39
What is prob of picking 3 j and 1 f when four letters picked without replacement from {j: 7, u: 2, b: 1, f: 2}?
14/99
Three letters picked without replacement from jjj. Give prob of picking 3 j.
1
What is prob of picking 4 b when four letters picked without replacement from baabaaaybbybaa?
5/1001
Calculate prob of picking 3 w when three letters picked without replacement from wwww.
1
Two letters picked without replacement from wweppheewyw. What is prob of picking 2 p?
1/55
What is prob of picking 2 a when two letters picked without replacement from ykayyypgyaagg?
1/26
Calculate prob of picking 2 t when two letters picked without replacement from {t: 4, v: 3, x: 2}.
1/6
Calculate prob of picking 1 v, 1 e, and 1 u when three letters picked without replacement from ezapeuv.
2/35
Calculate prob of picking 1 f and 1 t when two letters picked without replacement from lftilfifiiflf.
5/78
What is prob of picking 2 z and 1 f when three letters picked without replacement from zzzzzzzzzffzfz?
165/364
Three letters picked without replacement from czzcicwefii. Give prob of picking 1 i, 1 w, and 1 f.
1/55
Calculate prob of picking 2 s when two letters picked without replacement from sslslssss.
7/12
What is prob of picking 2 x and 1 u when three letters picked without replacement from {f: 7, u: 2, x: 2}?
2/165
Four letters picked without replacement from {o: 6, x: 2, j: 1, c: 1, w: 5}. Give prob of picking 3 o and 1 j.
4/273
Calculate prob of picking 2 d, 1 z, and 1 q when four letters picked without replacement from bddkzbddzdkdqz.
45/1001
Three letters picked without replacement from fhhchccc. Give prob of picking 2 c and 1 f.
3/28
What is prob of picking 2 v and 1 u when three letters picked without replacement from {f: 1, u: 1, v: 2}?
1/4
Three letters picked without replacement from doeodssdodjdn. Give prob of picking 1 j, 1 e, and 1 o.
3/286
Three letters picked without replacement from qjejjjjljesqsswjjj. What is prob of picking 1 j, 1 s, and 1 l?
9/272
Calculate prob of picking 3 y when three letters picked without replacement from nnfffyyyynf.
4/165
What is prob of picking 2 t, 1 z, and 1 q when four letters picked without replacement from tezttqtze?
2/21
Three letters picked without replacement from {n: 3, y: 2, a: 3, c: 3, h: 1, g: 3}. Give prob of picking 1 a and 2 y.
3/455
Calculate prob of picking 2 c and 2 g when four letters picked without replacement from gggggccggggcggg.
66/455
Calculate prob of picking 1 g and 1 s when two letters picked without replacement from {u: 1, g: 2, b: 1, s: 3}.
2/7
Four letters picked without replacement from tttsjjts. What is prob of picking 1 j and 3 t?
4/35
Two letters picked without replacement from jzzzjjzjzz. What is prob of picking 1 z and 1 j?
8/15
What is prob of picking 3 p and 1 e when four letters picked without replacement from {p: 6, e: 2}?
4/7
Three letters picked without replacement from luchcehuceuk. What is prob of picking 2 u and 1 c?
9/220
Calculate prob of picking 1 t, 2 n, and 1 q when four letters picked without replacement from {t: 3, n: 3, q: 7}.
63/715
Calculate prob of picking 1 f and 1 y when two letters picked without replacement from ifyfffffsifiyei.
2/15
What is prob of picking 1 n, 2 j, and 1 q when four letters picked without replacement from ttttqtjnqqjtttjnqqtt?
2/323
Two letters picked without replacement from jthei. What is prob of picking 1 i and 1 t?
1/10
What is prob of picking 3 o when three letters picked without replacement from qooomzoqqqqzzq?
1/91
Calculate prob of picking 2 l when two letters picked without replacement from dlllldlll.
7/12
Two letters picked without replacement from rrrxrxzrrrrrrrrzx. What is prob of picking 2 r?
33/68
Two letters picked without replacement from caaq. What is prob of picking 1 a and 1 c?
1/3
What is prob of picking 1 s and 2 z when three letters picked without replacement from szszszzszzz?
28/55
Three letters picked without replacement from {a: 4, r: 2, v: 8}. What is prob of picking 2 r and 1 v?
2/91
Calculate prob of picking 1 s and 2 i when three letters picked without replacement from iiiiiiissiiiiiiiiiii.
51/190
Four letters picked without replacement from {s: 8, j: 4, t: 4}. What is prob of picking 3 j and 1 s?
8/455
Three letters picked without replacement from {w: 3, k: 4, b: 6, v: 4}. Give prob of picking 2 b and 1 k.
3/34
What is prob of picking 1 s and 2 l when three letters picked without replacement from {l: 9, s: 2}?
24/55
What is prob of picking 2 b when two letters picked without replacement from {b: 2, c: 1, e: 1, i: 3}?
1/21
Two letters picked without replacement from {o: 3, u: 8}. Give prob of picking 2 u.
28/55
Three letters picked without replacement from qnjfiifjiifi. Give prob of picking 1 q, 1 i, and 1 n.
1/44
Four letters picked without replacement from ssossosoosso. What is prob of picking 4 s?
7/99
Calculate prob of picking 1 l and 1 c when two letters picked without replacement from lilliliillllllliclcl.
13/95
Two letters picked without replacement from {k: 2, a: 5}. What is prob of picking 2 a?
10/21
Calculate prob of picking 2 l when two letters picked without replacement from cldccclcdcdll.
1/13
What is prob of picking 1 f and 1 e when two letters picked without replacement from swewwwwfw?
1/36
What is prob of picking 2 q and 1 l when three letters picked without replacement from {l: 1, q: 1, f: 1}?
0
Two letters picked without replacement from {t: 17, k: 3}. What is prob of picking 1 t and 1 k?
51/190
What is prob of picking 3 u when three letters picked without replacement from uuuyuy?
1/5
Two letters picked without replacement from yeyy. What is prob of picking 2 y?
1/2
Two letters pic | {
"pile_set_name": "DM Mathematics"
} |
- 2*c - 8 = 13, 5*c = z - 33. Suppose 7*u = -335 + 1154. Calculate the greatest common factor of u and z.
13
Let c be (-6)/(-2) + (5 - (5 + -20)). What is the greatest common divisor of 161 and c?
23
Suppose 5*n + 0*c - 204 = c, -3*n - c + 116 = 0. Suppose 4*i = i - 5*s + 445, 160 = i + 4*s. What is the highest common factor of n and i?
20
Let o(m) = -m**3 + 2*m**2 - 2*m + 39. Let p(j) = 3*j + 39. Let q be p(-13). Let a be o(q). What is the highest common factor of a and 3?
3
Let z(f) = 2*f + 625. Let t be z(-64). What is the greatest common factor of 7 and t?
7
Suppose 0 = 11*u + 12*u - 3381. Calculate the highest common factor of 63 and u.
21
Let d = 122 + -93. Let w be (d + -17)/(1/12). Calculate the greatest common divisor of 16 and w.
16
Suppose 1396 = -23*j + 19221. Calculate the highest common divisor of j and 93.
31
Suppose -5*m + 29 = 9. Let y(g) = 2*g**3 - g**2 - g - 3. Let o be y(m). Let d be (2 + -4 - (-5 + 4))*-21. What is the highest common divisor of o and d?
21
Let a(l) = 2*l**2 + 7*l - 13. Let n be a(3). Let k be 1/((-50)/52 - -1). What is the greatest common divisor of k and n?
26
Suppose -5*r + 4*v = -764, 201 = 2*r - 4*v - 95. What is the greatest common divisor of r and 221?
13
Let d = 155 + -35. Let y = 351 - d. Calculate the greatest common factor of 21 and y.
21
Let g(v) = -v**3 - 4*v**2 - 2*v - 36. Let l be g(-6). Let x = 61 - l. What is the greatest common factor of 104 and x?
13
Suppose w - 4*n = -21, 91 + 4 = -3*w - 4*n. Let f = 22 + w. Let d be (-817)/f - (-24)/84. What is the highest common factor of 13 and d?
13
Suppose -3*m = -4*r + 2*m + 2, -3*r + m + 7 = 0. Suppose -r*h = -2*f + 93, -2*f + 4*h + 63 = -35. Calculate the greatest common factor of f and 26.
13
Let q be -18 + 13 - (-10 - -1). Suppose -q*r - 15 = -5*r. Let o = 259 + -94. What is the highest common divisor of o and r?
15
Suppose 28*n - 804 = 988. What is the highest common divisor of 56 and n?
8
Let p(y) = 9*y**2 - y + 2. Let w be p(-1). Calculate the greatest common factor of w and 8.
4
Suppose 2*h - m = 27, -h - 9*m + 36 = -5*m. Suppose -l + 6*l = 560. Calculate the highest common factor of l and h.
16
Let b = 29 + -25. Suppose 2*j = 3*u + 18, -2*u + b = -0*u. What is the greatest common factor of j and 4?
4
Suppose 0 = -3*z - 5*y + 4*y + 87, 0 = 5*y. Let l be -1 - (1 - (3 + 28)). What is the greatest common factor of z and l?
29
Let d = -3 + -22. Let w = -19 - d. Suppose -33 - 93 = -w*u. What is the greatest common factor of u and 42?
21
Let u(s) = 6*s + 5. Let o be u(5). Let y = 7752 - 7745. What is the greatest common factor of o and y?
7
Let i(l) = -2*l. Let p be i(7). Let h be p/77 + (-92)/(-22). Suppose -160 = -c - h*c. Calculate the greatest common divisor of 4 and c.
4
Suppose 0 = 8*f - 642 + 162. Calculate the highest common factor of 75 and f.
15
Let j be (-3 + 0)*(-1288)/42. Calculate the greatest common factor of j and 138.
46
Let t be 2/(-9) - (-115024)/504. Calculate the highest common factor of t and 36.
12
Let i(w) = w + 7. Let c be i(4). Let m be -2*(2 - 4) - 1. Let g be m - 24/4 - -14. Calculate the greatest common divisor of c and g.
11
Let k = -85 + 15. Let t = 142 + k. Calculate the greatest common divisor of t and 24.
24
Suppose h + 2*h = -5*q - 11, 2*q + 10 = -4*h. Let i be 9 + q/(3 + -4). What is the highest common divisor of i and 20?
10
Suppose r = 2 + 4. Let i be ((-3)/r)/(1/(-28)). Let v = -349 + 356. Calculate the highest common factor of v and i.
7
Let x be (-12346)/(-38) + (-6)/(-57). Calculate the highest common factor of 175 and x.
25
Suppose 37*k - k = 1440. Calculate the greatest common factor of 2120 and k.
40
Let j(o) = -29*o - 53. Let a be j(-3). Calculate the greatest common divisor of a and 1088.
34
Let r = 9 + -5. Suppose s + 2 = -4*z - 0, 5*z + r*s = -8. Let j(x) = -x**3 + 13. Let o be j(z). Calculate the highest common divisor of 26 and o.
13
Suppose 43*k - 25*k + 540 = 23*k. Let q be 1*(-4)/3*9. Let o = 24 + q. What is the greatest common divisor of o and k?
12
Let h = 22 - 30. Let y = 35 + h. Suppose 18*j - 15*j - y = 0. What is the highest common divisor of j and 90?
9
Let g(a) be the second derivative of -a**5/20 + a**4/3 - a**3/3 - 12*a. Let j be g(2). What is the highest common factor of 4 and j?
4
Suppose 88*b + 1185 = 103*b. Calculate the greatest common factor of 1 and b.
1
Suppose 3*o - 4 = 5. Let n be (1 + -2)/(o/27). Let y be -2 - (n + (-12)/(-4)). Calculate the highest common divisor of y and 4.
4
Let g(n) be the second derivative of 13*n**3/6 - 17*n**2/2 + 24*n. Let j be g(4). What is the greatest common divisor of 315 and j?
35
Suppose 16*s - 2503 = -935. What is the greatest common divisor of 126 and s?
14
Suppose -3*d = -6, -9*i - 4*d = -12*i + 127. Calculate the greatest common factor of i and 60.
15
Suppose -3*h - 117 = -c - 4*c, -4*c + 101 = 5*h. Let o(y) = -y**2 - 16*y - 12. Let b be o(-14). Calculate the greatest common factor of b and c.
8
Let d = -9 + 9. Suppose d*h + 2 = 2*h. Suppose -5*n = 3*k - 11, 4*k - n = -2*n + 9. What is the greatest common factor of k and h?
1
Suppose 3*j + 4*b = 21, -5*j = -3*b + 8*b - 30. Suppose 5*t - j*g - 57 = 50, -2*g + 30 = 2*t. Calculate the greatest common factor of t and 19.
19
Let d = 1 + 4. Let f = -803 - -848. Calculate the highest common divisor of d and f.
5
Let i be (4 - 2) + -5 + 188/4. What is the highest common factor of i and 11?
11
Let k(b) = -73*b - 10. Let u be k(-1). What is the highest common factor of 9 and u?
9
Suppose 2*f = -f + 210. Let h = 0 - -7. Let q(z) = -z + 17. Let y be q(h). What is the greatest common divisor of f and y?
10
Let a = 158 - 20. Let l = 147 - a. What is the highest common divisor of l and 9?
9
Let g = -43 + 48. Suppose 0 = -4*l - 0*f + g*f + 244, 0 = -5*l - f + 276. Calculate the greatest common divisor of 8 and l.
8
Let y be (2 + -12)*1/(-2). Suppose 0 = 658*n - 588*n - 1750. What is the highest common divisor of y and n?
5
Suppose 22*b + 58 - 1818 = 0. What is the highest common factor of b and 32?
16
Suppose 5*l - 9*l = -5*z + 94, -23 = -z + 5*l. Let d(p) = p**2 + 3*p + 2. Let n be d(7). Calculate the greatest common divisor of n and z.
18
Let s = -22 + 29. Suppose -9*q = -s*q - 60. Let x be (-4)/14 - 1472/(-7). Calculate the greatest common factor of x and q.
30
Suppose -4*o = 5*c - 22, -2*o - 3*c = 3*o - 21. Suppose o*w + 68 = 3*s + 2*s, 5*s - 61 = -4*w. Calculate the greatest common factor of 13 and s.
13
Let l(j) = 5*j - 5. Let p be l(6). Suppose 3*q - p - 53 = 4*y, q + 3*y = 13. What is the highest common divisor of q and 33?
11
Let f be (2*10)/1*3264/(-30). Let g be (-1)/(-7) - f/56. Calculate the greatest common factor of g and 26.
13
Let p be (-2)/(3/(-105) + 0). Suppose 13*a + 53 - 417 = 0. What is the greatest common factor of p and a?
14
Let t(l) = 2*l**2 - 98*l - 657. Let s be t(55). Suppose 0 = 4*v - 3*r - 2*r - 151, 119 = 3*v + 2*r. What is the greatest common divisor of v and s?
3
Let k = 0 + 243. Let z = k - 122. Suppose 0 = -2*a + o + 24, -1032*a + 1031*a + 1 = 5*o. Calculate the greatest common divisor of z and a.
11
Suppose 3*q - 2*x = -7*x + 5, -q - 3 = -3*x. Suppose -4*y - 1 + 53 = q. Calculate the greatest common factor of 39 and y.
13
Let u be -1 + 0 - (-7)/(3 + -2). Let z be ((-2)/u + 3)*48. Calculate the highest common divisor of z and 16.
16
Suppose 0 = -7*d - 2*d + 36. What is the highest common factor of 284 and d?
4
Let r be -1 - -4 - (-5)/1. Suppose 0*y = 2*y - r. Suppose 0 = y*t - 8*t + 36. Calculate the greatest common factor of t and 18.
9
Let w be (-2)/(-11) + 15*(-340)/(-22). Suppose 4*v + 2*o = 210, w = 5*v + 3*o - 33. What is the greatest common divisor of 20 and v?
10
Let v(d) = -4*d - 9. Let a be v(-6). Let x(h) = -12*h + 474. Let s be x(37). Calculate the highest common divisor of s and a.
15
Suppose 236 = 8*c + 60. Let x(s) = 5*s**2 - 6*s - 5. Let q be x(-4). Calculate the greatest common divisor of q and c.
11
Let y = -12 + 39. Let q = y + -24. What is the greatest common factor of 2 and q?
1
Let j = 578 - 401. Calculate the greatest common divisor of j and 413.
59
Let q = -1 + 4. Suppose q*f - 3*w + 2 = 14, -2*f + 36 = 5*w. Suppose -32 = -4*o - 0*o. What is the highest common divisor of o and f?
8
Suppose 399 = 5*d - 666. Suppose 2*p = -5*c + d, p - c = -p | {
"pile_set_name": "DM Mathematics"
} |
+ 40, -10 = t + 3*y for t.
-4
Solve -5*l + 120*y = 122*y + 57, 2*y - 75 = 7*l for l.
-11
Solve -8 = -51*b + 55*b - 3*q, 5 = 13*b - 2*q for b.
1
Solve 5*d + 131*i - 19 = 135*i, 2*i = -2 for d.
3
Solve 4*g + 5 = -3*u, 0 = g - 25*u + 29*u + 24 for g.
4
Solve 198*i + 4*s - 12 = 199*i, -2*i + 12 = 18*s - 14*s for i.
0
Solve -4*x + 88 = -3*m, 290*m - 292*m - 3*x = 87 for m.
-36
Solve 0*m - 338*y + 17 = -m - 342*y, 2*y + 8 = 0 for m.
-1
Solve -130*r = 2*n - 132*r, -9 = 2*n + r for n.
-3
Solve 3*y + 4*g = -5, 0 = -3*y - 5*g + 8 - 18 for y.
5
Solve 5*w - 6 = -p, 11922*p = 11924*p - 4*w + 16 for p.
-4
Solve u + z = 7 - 2, 6*u + z - 30 = 0 for u.
5
Solve 25 = -5*n, -7971*m - 26 = -7967*m + 2*n for m.
-4
Solve 0 = 3*x - 4*v - 9, 26*x + 4*v + 15 = 23*x for x.
-1
Solve 4*a + 3*v + 13 = 0, 3*v + 56 = a + 63 for a.
-4
Solve 338*m - 17 = 337*m + 4*t, -5*m = 3*t - 16 for m.
5
Solve -5 = 5*s + z, -147*z - 4 = 4*s - 145*z for s.
-1
Solve -1186*w + 45 = -1190*w - 5*h, 10*h + 90 = w for w.
0
Solve 3*g = -3*k, 0 = 31*g - 37*g - 2*k - 20 for g.
-5
Solve 3*d + 242 - 172 = 5*z, -4*d - 80 = -4*z for d.
-15
Solve 38*w - 35*w - 3 = -t, -5*w + 7 = t for t.
-3
Solve -4*n - 4*w + 32 = 0, -4*n + 6*n - 1 = w for n.
3
Solve 22*b - 18*b + 3*x - 8 = 0, -x = -5*b + 29 for b.
5
Solve 0 = -4*s - 12, -4*l + 106 - 15 = -s - 4*s for l.
19
Solve 5*n = 3*k + 22, 4*k - 292*n + 287*n = -21 for k.
1
Solve n - 4*x - 19 = 0, 19 = -360*n + 356*n - 3*x for n.
-1
Solve 46*r = 2*t - 116 - 72, -5*r - 22 = -t - 0*t for r.
-4
Solve 81*d + 12 = 4*u + 77*d, -d - 1 = 0 for u.
2
Solve 9 = 3*l + 2*z, -3*z + 7 - 13 = -2*l for l.
3
Solve 3*y = -5*r + 20 - 11, 76*r + 9 = 3*y + 73*r for y.
3
Solve -11*u = -2*d - 7*d - 14*u - 75, 2*u = -d for d.
-10
Solve g = 10*h - 43, -h - 2*g + 79 - 60 = 0 for h.
5
Solve -3*m + 3 = -2*n, 2*m + 8 - 17 = -n for n.
3
Solve -21 = 4*g + c, c = -11*g - 262 + 213 for g.
-4
Solve -6 = 2*j + 5*h, -h = 2*j - 300 + 298 for j.
2
Solve 4*n + 10*t - 102 = 0, 4*n = 667*t - 665*t - 6 for n.
3
Solve -2*r - 2*n - 8 = 0, 4*r + 1 = -6*n + 5*n for r.
1
Solve 3*d = -5*w - 16, -340*w + 354*w = -5*d - 55 for w.
-5
Solve -569*w + 564*w + 24 = s, 4*s = -4 for w.
5
Solve j + 2 = 5*j - 2*y, -2*y = 5*j - 16 for j.
2
Solve -2*c + h + 8 = 0, 3*c = h + 10 - 3 for c.
-1
Solve -d - 4*a + 8 = 0, 0 = -566*d + 562*d - a - 28 for d.
-8
Solve -j = 5*h + 26, -2*h - 3*j - 143 = -117 for h.
-4
Solve 0 = 14*q - 13*q - 3*m - 13, -4*q + 3*m = -16 for q.
1
Solve 14 = 2*c - n, 258 = -5*n + 238 for c.
5
Solve -13 = -0*m - 5*m + 2*x + 17, -7*x - 35 = 0 for m.
4
Solve 0 = -3*p - 3*r - 61 + 73, 50 = -4*p + 7*r for p.
-2
Solve 5*m + 5*g - 20 = 0, -4*m + 2*g = -1062 + 1070 for m.
0
Solve 0 = -2*u + 4*f - 26, -u - 109 = 5*f - 145 for u.
1
Solve 3*h - f = -0 + 19, 122 - 102 = -5*f for h.
5
Solve 0 = -4*t + 3*r + 49 - 22, -2 = -4*t - 2*r for t.
3
Solve 2*h = -4*c + 166 - 176, 8*h = 3*h + 3*c + 27 for h.
3
Solve -3*h - 31 = -2*m, -11*m - 214 = 32*h - 9*m for h.
-7
Solve 2*c - 5*q = -9, 4*c - 5*q - 1182 + 1185 = 0 for c.
3
Solve -3*o = 4*m, -3*m + 3*m = m + 2*o for m.
0
Solve -122 = 4*t + 5*o, -5475*t = -5476*t - 4*o - 91 for t.
-3
Solve 0 = -2*n + 4*r - 24, -5*n + r - 14 = 10 for n.
-4
Solve y - 5 = 5*l, -3*l = -5*y - 13 - 50 for y.
-15
Solve 4*a - 39 = -23, -c - 3*a = -16 for c.
4
Solve -27 = -5*x + 2*a, -1149*x - 14 = -1152*x - a for x.
5
Solve 8*g - 11*g - 3 = -2*p, 5*p - 3*g = 21 for p.
6
Solve 32*s = 4*t + 36*s, -5*s = -25 for t.
-5
Solve -3*r - 19 = -2*q, -5*q + 2*r - 265039 = -265081 for q.
8
Solve 5*r = -7*t + 86, 7*r + 5*t - 60 = 2*r for r.
-1
Solve -3*v + 19 - 15 = 19*s + 37*s - 52, 0 = 3*v for s.
1
Solve -2*l + 23180 - 23162 = -4*q, -10*q = 3*l + 69 for q.
-6
Solve 115*o - 116*o = -5*g - 5, 4*g + 28 = -4*o for g.
-2
Solve -17 = -5*m - p + 12, -58 = 4*m - 5*p for m.
3
Solve 2*r - 20 = 3*j, -5*j = -4*r + 12018 - 11988 for r.
-5
Solve -3*h - 10 = l, 9240*l - 5 = h + 9242*l for h.
-3
Solve 3*f + 21 = 6*q, -4*f = -23*q + 25*q - 2 for f.
-1
Solve 5*a + a + 32 = -2*j + a, 0 = 2*j - 3*a for j.
-6
Solve 359*h + 68 = 4*u + 363*h, 33 = -3*u + 4*h for u.
5
Solve -3*n = 5*o - 8*n - 50, 2*o + 5 = -3*n for o.
5
Solve 3*c + 5 = -4*l, 5*l - 8*l + 14 = 20*c for c.
1
Solve 0 = -4*j + f + 1, 0 = -5*j + 678*f - 675*f - 4 for j.
1
Solve -5*n = -2*f + 17, 0 = -37590*f + 37594*f - 4*n - 4 for f.
-4
Solve v = -3*f + 4*v, -12*v - 22 = 31*f - 9*v + 46 for f.
-2
Solve -5*v = -5*u + 25, v - 3*u - 71 = -82 for v.
-2
Solve 0 = -3*d + 2*w - 38, -431*d = -434*d - 3*w - 63 for d.
-16
Solve 0 = q + 2*y + 560 - 581, q + 4*y = 37 for q.
5
Solve 1 = -d + q, d + 7 - 6 = -q for d.
-1
Solve 4*i = -3*z - 1, 0 = -9*z + 5*z - i + 16 for z.
5
Solve -6*o + 16 = 5*b, 3*o - 1017 = -3*b - 1008 for b.
2
Solve -3*t - 42 - 25 = -5*i - 51, 9*t = -4*i - 10 for i.
2
Solve q + 6 = 4*h, 166*h + q - 21 = 161*h for h.
3
Solve -6*b + 3*b + 7*b - 44 = 0, -54 = 7*z - 3*b for z.
-3
Solve 5*w - 5*l = 12126 - 12116, -3*l - 6 = 3*w for w.
0
Solve 12 = 2*w - 5*c, 2*c = w + 10 - 17 for w.
11
Solve 3*h = -5*b + 3*b - 16, 4*b = 16 for h.
-8
Solve -3*j + 2*i = -19, -61*i + 36 = 5*j - 60*i for j.
7
Solve 189 = s + 3*q + 191, 5*s - 3*q = -28 for s.
-5
Solve 8*z = -32, 48*t - 5*z = 52*t + 24 for t.
-1
Solve -5 = -4*x - 4*w - 29, 0*x = 3*x + 7*w + 14 for x.
-7
Solve 229*s + 70 = 225*s - 2*t, -2*s - 2*t - 38 = 0 for s.
-16
Solve a - 121*i = -122*i + 15, -5*i = -2*a + 37 for a.
16
Solve -2*l = 3*i + 19, 1523 = 3*l + i + 1534 for l.
-2
Solve -c - 7 = -3*m + 37, 59 = 3*m - 4*c for m.
13
Solve -d - 7 = -3*a, 2*d - 103 + 95 = -5*a for d.
-1
Solve -2*y - 5*x - 20 = 0, -260*x - 13 = -5*y - 262*x for y.
5
Solve 0 = -3*d + a - 122363 + 122339, -2*d = -4*a + 46 for d.
-5
Solve 0 = 278*p - 276*p + 4*m - 22, -3*p = 2*m - 17 for p.
3
Solve -14 = -2*m + 2*r, -27*r + 28*r - 1 = -3*m for m.
2
Solve 2*f + 83 = 2*g + 61, 2*g + 5*f + 27 = 0 for g.
4
Solve 18 = -73*m + 78*m + 4*w, 9*m - 63 = 3*w for m.
6
Solve -2*u + 3 = 7*c - 2*c, -3*c = -3 for u.
-1
Solve 5*c + 3*k + 281 = 232, -4*k + 12 = -3*c for c.
-8
Solve 0 = 3*i - 2*z + 1, 3*i + 572*z = 577*z + 2 for i.
-1
Solve 2*y = -10, -518*k + 515*k - 4*y - 2 = 0 for k.
6
Solve -3*a - 701 + 698 = -2*w, 4*a - 3*w = -3 for a.
-3
Solve 43*s + 2*l - 10 = 40*s, -3*s + 5*l = -38 for s.
6
Solve -184524*s - 56 = 5*w - 184522*s, -4*s = 3*w + 42 for w.
-10
Solve -2*m = -3*g - 5, m = -2*g - 63 + 62 for g.
-1
Solve -3*t = 5*k + 10, 10 = -142*k + 137*k - t for k.
-2
Solve d - 563*u = -564*u + 5, -11 = -4*d - 3*u for d.
-4
Solve 5*a + 5*h = 0, -5*a - 19*h = -15*h + 5 for a.
-5
Solve 0 = 23*j + 5*r + 182, 5*j = -2*r - 43 - 13 for j.
-4
Solve 251*c - 255*c - 2*i = -18, 3*c = -i + 15 for c.
6
Solve -33 = -5*p - 4*k, -1163 + 1146 = -5*p + 4*k for p.
5
Solve -34814 = 4*d + 2*u - 34798, 5*u = 20 for d.
-6
Solve 164*n - 9 = 161*n - 5*l, 0 = -5*n - 3*l + 31 for n.
8
Solve 3*d + 365 = -4*n + 330, 0 = -3*d + 4*n - 19 for d.
-9
Solve 2*d + 2 = 0, -16*p = -11*p - 3*d - 43 for p.
8
Solve 0 = 2*a + 5*x + 87 - 74, -2*a + 2*x - 6 = 0 for a.
-4
Solve 4*w + 6 = a, -3338 = -3*a + 5*w - 3334 for a.
-2
Solve -5*o - 16282*h + 15 = -16284*h, -2*h = 3*o - 25 for o.
5
Solve 8*j - 11 = 9*j - 3*x, 3*x = -4*j + 1 for j.
-2
Solve 345 = -4*x + 281, -2*f + 102 = -6*x for f.
3
Solve 4*q - 15 = 5*w, 33*w - 30*w + 55 = 7*q for q.
10
Solve 3*o + 5*i + 60 = 16*o, -o - 2*i = -7 for o.
5
Solve -5*d - 734*c = -362*c - 368*c - 11, 16 = 7*d + 5*c for d.
3
Solve 12 = 3*x + 2*l, -13114*x - l = -13115*x + 4 for x.
4
Solve -3*x + a + 181 - 176 = 0, 5*x - 3*a + 147 - 150 = 0 for x.
3
Solve 5*j - 3*p - 37 = 0, 768*j - 772*j - p + 16 = 0 for j.
5
Solve -102*b - 118*b + 20 = -5*z - 223*b, 14 = z - 3*b for z.
-1
Solve 6*v - 18*z + 16*z + 32 = 0, 5*v + 22 = -3*z for v.
-5
Solve -t - 3*q + 20 = -2*t, -3*q = -2*t - 19 for t.
1
Solve 3*b - 5*y - 34 = 0, 11*b + 3*y + 147 = 8*b + 47*b for b.
3
Solve 0 = v - 5*t + 4, 5*v - 4*t + 14*t - 15 = 0 for v.
1
Solve 0 = 32*d + 110*a - 107*a + 81, -2*d + a - 11 = 0 for d.
-3
Solve -4*y + 19 = -r, 174*y = 3*r + 169*y + 43 for r.
-11
Solve 4*b = -68*m + 72*m - 8, 4*b + 11 = 5*m for b.
1
Solve -407*d + 2*z + 4 = -411*d, 2*d + 2 = 4*z for d.
-1
Solve -5*j + 221 - 242 = 3*d, -4*d - 3*j = 28 for d.
-7
Solve 4*x + 34 = 204*q - 206*q, -2*q = -x + 19 for q.
-11
Solve -n - 7*a + 18 = -4, 3*a = 5*n + | {
"pile_set_name": "DM Mathematics"
} |
(70))*2)/(-3*sqrt(10)*1 + (sqrt(80)/sqrt(2) - sqrt(40))/sqrt(4) + sqrt(10)))**2.
112
Simplify (-3 + (sqrt(5)*-2*-2)**2 + 0)*-5.
-385
Simplify ((sqrt(96) - -1*sqrt(96))/sqrt(4))/sqrt(12) - sqrt(18)/(sqrt(45)/(-1*sqrt(5))).
3*sqrt(2)
Simplify (sqrt(378) + (sqrt(378) - (1*sqrt(378) - sqrt(378))*2) - -1*sqrt(378)*-2)/((sqrt(6) + (sqrt(168)/sqrt(4))/sqrt(7) - sqrt(6)) + -2*sqrt(6)*-4).
0
Simplify ((sqrt(90)/sqrt(3))/sqrt(5) - sqrt(42)/sqrt(63))/((sqrt(12)/(sqrt(12)/sqrt(2)) - sqrt(2)) + sqrt(200)/sqrt(4)).
2*sqrt(3)/15
Simplify -3 + (sqrt(1375)*1*-1 + sqrt(1375) + sqrt(1375))/(sqrt(10)/sqrt(2)*-5*-2).
-3 + sqrt(11)/2
Simplify (sqrt(3) - (sqrt(3) + 2 + sqrt(48))) + sqrt(72)/sqrt(6) - (sqrt(75) + 0 + -3*sqrt(75))**2.
-302 - 2*sqrt(3)
Simplify (-1 + -2*sqrt(1377)*6 + -5)**2 + 5 + -5.
1296*sqrt(17) + 198324
Simplify ((2*(sqrt(55) - (sqrt(55) + sqrt(55) + sqrt(220)/sqrt(4) - sqrt(55))) - sqrt(55) - (-2*sqrt(660))/sqrt(12))/((1*sqrt(4752))/sqrt(3)))**2.
5/144
Simplify (-4 + ((2*sqrt(300))**2 - sqrt(300) - sqrt(75)*4))*4.
-120*sqrt(3) + 4784
Simplify -1 + 2*4*-3*(sqrt(15)/sqrt(3)*1 - sqrt(5))**2.
-1
Simplify (sqrt(6300) + 3 - (sqrt(70) - (sqrt(70) + (sqrt(70) - (sqrt(70) - (4*sqrt(70) - sqrt(70))*-2))))/sqrt(10))**2.
144*sqrt(7) + 4041
Simplify ((sqrt(91)/sqrt(63) + sqrt(13)*-3*-5)**2 + 4 + -1)*5.
137675/9
Simplify -3 + -1 + (sqrt(5)*-1)**2*1 + sqrt(240)/sqrt(3).
1 + 4*sqrt(5)
Simplify (3*(sqrt(396) - (sqrt(396) + 1)*-2) + (-1*sqrt(396)*-3 - sqrt(396)) + (sqrt(396) + -1 - sqrt(396) - sqrt(396)) + -1)**2.
480*sqrt(11) + 39616
Simplify (-1*(sqrt(91) + 2*sqrt(91) + sqrt(91) - sqrt(91)) - sqrt(91))/sqrt(7) + (5*(2 + sqrt(52)/sqrt(4)))**2 + -5.
96*sqrt(13) + 420
Simplify -6*(-6*(2 + sqrt(80) + 0 - sqrt(80))**2 + 2 + 2 + (2*sqrt(80))**2).
-1800
Simplify (sqrt(22)/(1*-3*sqrt(2))*3)**2*5.
55
Simplify ((sqrt(340) - (sqrt(340) + (sqrt(340) - -3*sqrt(340)) + sqrt(340) + sqrt(340)))/sqrt(10) - sqrt(34))/(6*sqrt(288)).
-7*sqrt(17)/72
Simplify ((sqrt(88) - (sqrt(88) - sqrt(88)*-2)*5 - sqrt(88))*6)/((sqrt(800) - sqrt(800)*2)*2).
9*sqrt(11)/2
Simplify (1*sqrt(84)*-2 + sqrt(84) + (sqrt(84) - -1*sqrt(84))*-5)/(3*(sqrt(12) - 1*sqrt(12)*-2)).
-11*sqrt(7)/9
Simplify (sqrt(300) + ((-1*sqrt(300) - sqrt(300))*-4 - sqrt(300)) - sqrt(3)*-1*4*-5)**2.
10800
Simplify (-6*(0 + sqrt(3087) + 2*sqrt(3087) + -2*sqrt(3087) + -5)*-2)**2.
-30240*sqrt(7) + 448128
Simplify 4*5*(-1*sqrt(243) - (0 + sqrt(3) + 1))*-6.
120 + 1200*sqrt(3)
Simplify ((-1*sqrt(250)*4)/sqrt(10))/((sqrt(5) - sqrt(20))*-3*2).
-2*sqrt(5)/3
Simplify (sqrt(864)*-1)/((sqrt(132)*-4 - sqrt(132) - sqrt(132))/sqrt(11)).
sqrt(2)
Simplify 3 + (((((sqrt(126) - sqrt(126)*-3) + sqrt(126) - sqrt(126))/sqrt(2) - sqrt(63))*-6)**2 + 0)*3.
61239
Simplify (-4*sqrt(128)*4 + 3 + -5)**2.
512*sqrt(2) + 32772
Simplify 4*(sqrt(120)/sqrt(16))/(5*sqrt(54)).
2*sqrt(5)/15
Simplify (((sqrt(245) + -1 - sqrt(245)) + -3 - (-1 + sqrt(245)*-2))*1)**2.
-84*sqrt(5) + 989
Simplify (sqrt(2160)*2)/(sqrt(55)/(-1*sqrt(11))) + -4.
-24*sqrt(3) - 4
Simplify (2*(-4 + sqrt(720) + 5*(sqrt(720) + sqrt(720)*1))*4)**2.
-67584*sqrt(5) + 5576704
Simplify (0 + 2 + sqrt(147) + sqrt(147))**2 + -2*(-3*sqrt(192) - sqrt(192)).
120*sqrt(3) + 592
Simplify (sqrt(33)/(sqrt(15)/(sqrt(245) - sqrt(5))))**2 - -6*(-1 + sqrt(11) + 5).
6*sqrt(11) + 420
Simplify (sqrt(200)*2 + -4)**2 + (0 + sqrt(200))*2 + 2.
-140*sqrt(2) + 818
Simplify 6*(4*(-5 + sqrt(320) + (sqrt(320) - (sqrt(320) + 0) - sqrt(320) - sqrt(320) - sqrt(320)) + -1))**2.
18432*sqrt(5) + 126336
Simplify (1 + 4 + sqrt(66)/((sqrt(66) + 2*sqrt(66) - sqrt(66))/sqrt(11)))*-1.
-5 - sqrt(11)/2
Simplify 1 + -5 + ((-1*sqrt(72) - sqrt(72))**2 - sqrt(24)/(sqrt(60)/sqrt(5))).
-sqrt(2) + 284
Simplify (1 + 5*(sqrt(52) + sqrt(13)) + 3*sqrt(26)/sqrt(2) + sqrt(13))**2 + (sqrt(91) + 6*2*sqrt(91))/(sqrt(63)/(sqrt(9)*2)).
64*sqrt(13) + 4694
Simplify (1 + (-1*sqrt(343)*3 - sqrt(343)))**2 + (sqrt(112) + -1 + 4)**2 + -1.
-32*sqrt(7) + 5609
Simplify ((3*sqrt(72))/sqrt(4))/(sqrt(9) - ((sqrt(90) - (-4*sqrt(90) + sqrt(90))) + sqrt(90))/sqrt(10) - sqrt(9))*3*2.
-18*sqrt(2)/5
Simplify (-4*(sqrt(91) - sqrt(91)*1))/(-3*sqrt(112)).
0
Simplify 3*(-1 + sqrt(475))**2*-6 + (sqrt(475) + (sqrt(475) + sqrt(475) + 1 + sqrt(475))*2)**2 + -1.
320*sqrt(19) + 14710
Simplify ((sqrt(612)*-6)/sqrt(12))/(sqrt(33)/(sqrt(11) + sqrt(110)/sqrt(10))).
-12*sqrt(17)
Simplify (sqrt(72) - (sqrt(72) + 3*sqrt(72)*-1))/sqrt(6)*-3 + -1.
-18*sqrt(3) - 1
Simplify (sqrt(65)/(-2*sqrt(605) + sqrt(5)) - (sqrt(13) - (sqrt(13) + sqrt(39)/sqrt(3) + 5))**2*1) + 5.
-211*sqrt(13)/21 - 33
Simplify 4 + (0 + ((sqrt(1053) - 2*sqrt(1053)) + 3 - (-4 + (sqrt(1053) - (sqrt(1053) + sqrt(1053) + 2*sqrt(1053) + sqrt(1053))))))**2 + 5.
378*sqrt(13) + 9535
Simplify (1 + ((sqrt(45) + 0)*-5 - (-2 + sqrt(45))*-2)*2)**2.
252*sqrt(5) + 1669
Simplify 4 + sqrt(11) + (sqrt(11) - ((sqrt(11) - sqrt(44)) + sqrt(11))) + (sqrt(11) - (sqrt(396) + -4 + sqrt(396) + sqrt(396)))**2 + 4.
-134*sqrt(11) + 3203
Simplify 4*((1 + sqrt(720))**2 + sqrt(720) + sqrt(720) - -1*sqrt(5)*4) - (sqrt(35)/(-4*sqrt(7)*-1) + 2).
831*sqrt(5)/4 + 2882
Simplify ((sqrt(324)*-1)/(sqrt(800) + sqrt(32)))**2*4.
9/8
Simplify (((sqrt(121) - ((-2*sqrt(121) + sqrt(121))*1 + sqrt(121)))*-2)/(sqrt(88)/(sqrt(8)*1) - (sqrt(33) + sqrt(99)/sqrt(3))/sqrt(3)))**2*-3.
-132
Simplify (-3*1*sqrt(15) - sqrt(120)/(sqrt(8) + sqrt(32)/sqrt(4)))/(sqrt(30)/(sqrt(10)*-1) - -1*sqrt(3)*-2).
7*sqrt(5)/6
Simplify ((-1*sqrt(126)*-5 + sqrt(126))/sqrt(2))/(sqrt(216)/sqrt(6) - (-1*sqrt(36))/sqrt(4)).
2*sqrt(7)
Simplify (-6*(2*sqrt(136) + sqrt(136))*-1)/(6*(2*sqrt(392) - sqrt(392))).
3*sqrt(17)/7
Simplify (-4*(sqrt(198) - (1*-1*sqrt(198) - sqrt(198) - sqrt(198))))/(-1*sqrt(99) + (sqrt(11) - sqrt(22)/sqrt(2)*5)).
48*sqrt(2)/7
Simplify -5 + (0 + sqrt(17)*1 + 2 - (1 + sqrt(425))*-5).
2 + 26*sqrt(17)
Simplify ((sqrt(396) - -1*(sqrt(396) - (sqrt(396) + sqrt(396) + 1))) + sqrt(396) + sqrt(396)*-2 + 4 + sqrt(396) - (sqrt(396) + 1*sqrt(396) + 1)*-4)**2.
672*sqrt(11) + 25393
Simplify (3*(2*sqrt(325)*-2 + (sqrt(325) - (-1 + sqrt(325) + -2 + sqrt(325) - sqrt(325)))))**2.
-1080*sqrt(13) + 46881
Simplify ((sqrt(152) + 2*sqrt(152))*-5 - sqrt(152))/(sqrt(72)*1 - (sqrt(2) - sqrt(2)*1)*6).
-16*sqrt(19)/3
Simplify (sqrt(1782) + sqrt(1782)*2 + sqrt(352)*-2 + sqrt(352))/((sqrt(66)*-2*-3)/sqrt(6)).
23*sqrt(2)/6
Simplify 5 + 0 + 4 + (sqrt(34)/sqrt(2))**2 - ((sqrt(1088) + -2 - sqrt(1088))**2 - (sqrt(17)*3 + 4)).
3*sqrt(17) + 26
Simplify (2*sqrt(76)*3 + sqrt(76) + (sqrt(76) + 4*(sqrt(76) + sqrt(76) + -2*sqrt(76) + sqrt(76)) + sqrt(76) + sqrt(76) - sqrt(76)))/(-3*sqrt(36)/sqrt(9)*-3).
13*sqrt(19)/9
Simplify -5 + 5 + ((3 + sqrt(7) + 1)**2 - sqrt(7)) + sqrt(7) + (-1*sqrt(77))/sqrt(11).
7*sqrt(7) + 23
Simplify 1 + (-3*(1 + sqrt(11) - sqrt(11)) - sqrt(55)/(sqrt(5)*6 + sqrt(5)))**2.
6*sqrt(11)/7 + 501/49
Simplify -3*(-3 + (-5*(sqrt(114) - sqrt(114)*-2 - sqrt(114)))/sqrt(6)).
9 + 30*sqrt(19)
Simplify (sqrt(5)*2 + 3)*6 + ((sqrt(125) - (sqrt(125) + 1 + sqrt(125) - sqrt(125))) + sqrt(125) - sqrt(125))**2 + -4.
15 + 12*sqrt(5)
Simplify (sqrt(105)/(sqrt(5)*2*-2))/((sqrt(448) + sqrt(448)*-2)*-2).
-sqrt(3)/64
Simplify ((-3*-2*sqrt(119))/sqrt(7) - ((-1*sqrt(612) - sqrt(612)) + sqrt(612) + (sqrt(2448) - (sqrt(2448) + -1 - sqrt(2448)))))**2.
1
Simplify ((sqrt(143)*4 + sqrt(143))*-5)/(-1*-4*sqrt(11)).
-25*sqrt(13)/4
Simplify ((sqrt(200)*1*2 + 5)*-5)**2.
5000*sqrt(2) + 20625
Simplify (sqrt(180)*-2 + 0 - (-1*sqrt(180) + -3))**2.
-36*sqrt(5) + 189
Simplify (-1*4*sqrt(495))/((sqrt(11) + sqrt(44))*1*6).
-2*sqrt(5)/3
Simplify (sqrt(78)*-2*3 - (3*(sqrt(78)*1 + sqrt(78) - sqrt(78)) + sqrt(78) - sqrt(78)))/(1*sqrt(216)*6).
-sqrt(13)/4
Simplify ((sqrt(1452) + sqrt(1452) + -2*sqrt(1452))*6)/((-1*sqrt(150) + sqrt(6) - sqrt(6)) + sqrt(6) + (sqrt(42)*-2)/sqrt(7))*6.
0
Simplify -5*((sqrt(68) - ((sqrt(68) + 0)*1)**2)*5 + -4).
-50*sqrt(17) + 1720
Simplify ((sqrt(143) + (sqrt(143) - (sqrt(143) + sqrt(143) + sqrt(143)*-1)))*3*-2)/(sqrt(44)/sqrt(4)*-2 - (sqrt(22)*1)/sqrt(2)).
2*sqrt(13)
Simplify (-3*1*(0 + -2 + sqrt(175)))**2.
-180*sqrt(7) + 1611
Simplify (-2*sqrt(91) - sqrt(91))/sqrt(7) + (sqrt(117) + sqrt(117) + 3)**2 + 3 + 1 + sqrt(13) + (sqrt(26)/sqrt(2))**2 + 1.
34*sqrt(13) + 495
Simplify (-4*sqrt(180))/(sqrt(1089)*-4 - sqrt(1089) - sqrt(1 | {
"pile_set_name": "DM Mathematics"
} |
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6
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9
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4
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4
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1
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2
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9
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2
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7
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2
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1
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8
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9
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2
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3
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6
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2
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4
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8
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0
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7
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6
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5
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6
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2
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1
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9
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7
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5
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5
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4
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0
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6
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7
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1
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8
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5
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1
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8
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2
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3
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9
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1
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2
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3
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9
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2
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1
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3
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0
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9
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3
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2
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8
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1
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3
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7
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1
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9
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1
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2
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6
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3
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4
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8
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7
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0
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4
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5
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8
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1
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5
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1
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6
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4
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5
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3
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3
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1
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9
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0
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8
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6
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4
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1
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5
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9
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6
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4
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2
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7
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4
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2
What | {
"pile_set_name": "DM Mathematics"
} |
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