text stringlengths 270 8.19k | meta dict |
|---|---|
tor of 0 + -1 - 2/50 and s.
25
Suppose 113*u - 1888 - 2180 = 0. Calculate the lowest common multiple of 552 and u.
1656
Let p = -4217 - -84401/20. Let a be 2/((-8)/(-30))*638/(-33). Let y = 575/4 + a. Calculate the common denominator of p and y.
20
Calculate the common denominator of 985/(-300) + -53 + 58 and 85/36.
180
Let o(m) = 6*m**2 - 31*m - 4. Let l be o(6). Suppose 94 = l*z - 62. Calculate the least common multiple of z and 16.
48
Let d = 2122 - 2102. What is the least common multiple of d and 1650?
3300
Suppose 0 = -3*y - 4*w + 64, -106*y + 5*w = -104*y - 35. Let i(l) = 4*l**3 - l**2 + 2*l - 1. Calculate the smallest common multiple of i(1) and y.
20
Let s be 2 - 2/(-8)*-1643. Let o = s - -432. Let v = 243267/2350 - 2568/25. What is the common denominator of v and o?
188
Suppose 131*h - 77*h + 91800 = 84*h. Calculate the lowest common multiple of h and 765.
3060
Let r = -74 - -77. Let k(t) = 3*t**3 + 7 - t**3 + 104*t - t**3 - 112*t. What is the smallest common multiple of k(r) and 2?
10
Suppose 55*u - 61*u - 468 = 0. Calculate the least common multiple of u/(-9) - 8/12 and 392.
392
Suppose 1225 + 1437 = 11*d. What is the lowest common multiple of 286 and d?
3146
Let t = -748 - -706. Let o = t - -58. Calculate the lowest common multiple of 44 and o.
176
Suppose -4*f + y - 29 = -36, 3*f = y + 5. What is the least common multiple of f and 27430?
27430
Let p(s) = -27*s - 85. Suppose 4*y - 2 + 10 = 0. What is the least common multiple of y*((-28)/4 - -2) and p(-4)?
230
Suppose -18*z + 23*z = -80. Let x(h) = -h**3 - 17*h**2 - 19*h - 46. Calculate the least common multiple of 10 and x(z).
10
What is the common denominator of ((-344)/32)/(4/(48/(-42))) and 35/61?
854
Suppose -y + 406 = -318. Calculate the lowest common multiple of 4/3*2 - (-11720)/879 and y.
2896
Let q(p) = -530*p + 4184. Calculate the least common multiple of 12 and q(7).
948
Let z = -20007/15064 - -260/807. What is the common denominator of 26/135 and z?
7560
Suppose -2*i - 308 = -9*i. Let x = i + -20. What is the smallest common multiple of x and 8?
24
Let w = -303835/1116 + 1089/4. Let a = w + 14797/2790. What is the common denominator of -125/48 and a?
240
Let y = 6/2717 - -268971/5434. Suppose 70 = 4*c + c. Calculate the common denominator of 25/5*(-1)/c and y.
14
Let p = 1266 - 2603/2. Let a = 3225 - 32357/10. Find the common denominator of a and p.
10
Suppose 32 - 30 = -2*i, 3*v = 5*i + 2303. What is the smallest common multiple of 12 and v?
4596
Let d = 82 - 80. Suppose 0 = 5*n - x - 2 - 10, 2*n - 8 = d*x. Calculate the smallest common multiple of 4 and n.
4
Suppose 2*r + o = 6*o + 10, 25 = 5*r + 2*o. Suppose 3*t - r*a = 86, 4*a = 5 + 3. What is the least common multiple of ((-13884)/8099)/(-1 - 26/(-28)) and t?
96
Let z(r) = -512*r + 3083. What is the least common multiple of z(6) and 1862?
20482
Let j(w) = 40*w**2 - 6*w + 8. Calculate the least common multiple of j(1) and 444.
3108
What is the least common multiple of (50/175)/(2/112) and 94?
752
Let w = 342 - 154. Let u = 238 - w. What is the lowest common multiple of u and 20?
100
Find the common denominator of (-209)/(-44) - (-8419)/(-1740) and -61/2436.
12180
Find the common denominator of 31/454 and (220/(-56) - (4 - 2)) + (29 - 23).
3178
Suppose -3256*p + 4050 = -3241*p. What is the least common multiple of 216 and p?
1080
Let f = -295/13 - -3031/78. What is the common denominator of f and -67/10?
30
Let b = -522243/3764 + -3/941. Let q = -4783/36 - b. Let r = 5203/3 - 1734. Calculate the common denominator of r and q.
9
Let v(l) = -l**3 - 20*l**2 + 2*l + 48. Suppose 12*k = -122 - 118. Calculate the lowest common multiple of 688 and v(k).
688
Let k(h) = h**3 - 9*h**2 + 10*h - 13. Let w be k(8). Suppose -w*x + 29 = -13. Calculate the lowest common multiple of x and 14.
14
Calculate the common denominator of -163/630 and (-19045)/(-1260) + -9 - (0 - -1 - -5).
1260
Let s = 358923/40 - 8976. Let d = 6092465091/968 - 6293874. Let g = -5/242 + d. Calculate the common denominator of g and s.
40
Let w be 1*3 + 513/((-27)/(-3)). Find the common denominator of 15/(-66)*117/w and 47/48.
528
Let t = -214 + 136. Let x = -77 - t. Calculate the smallest common multiple of 4/2*9/2 and x.
9
Let v = 22420 - 3362953/150. Find the common denominator of v and 89/330.
1650
Let h = -37583/4428 + 595/82. Find the common denominator of h and -151/24.
216
Find the common denominator of ((-2)/(24/60))/9 and (190/(-15))/((-22)/(-4)).
99
Let i(l) = 3*l + 67. Calculate the least common multiple of i(-13) and 203.
812
Let o be ((-1)/(-3))/(3/(-63)). Suppose -i = -2*s - 2*s + 32, 3*i = -4*s + 48. What is the smallest common multiple of s and -4*6/168 + (-50)/o?
63
Suppose 5*u + 3*m - 32 = 0, 0 = -5*u - 4*m + 9 + 27. Suppose 3*k + 2 - 13 = h, 0 = u*k - 4*h - 28. Calculate the lowest common multiple of 58 and k.
58
Suppose -17*h - 48461 = -40*h. Let t(w) = 2*w - 6. What is the lowest common multiple of t(4) and 2/17 - h/(-731)?
6
Suppose -4*h + 3*a + 76 = -0*a, -a = h - 12. Let g = h + -10. Suppose 0 = -14*n + 849 - 457. What is the least common multiple of n and g?
84
Let g(k) = 3*k - 85. Let w be g(29). Let z(j) = j**2 - 40 - 2*j + j + 0*j**w. Calculate the smallest common multiple of z(-7) and 14.
112
Let f = -2/12565 + -1243903/201040. Let q = -123107/16 - -7697. What is the common denominator of q and f?
16
Find the common denominator of 23/11 and (-56470)/5500 - -9 - (-78)/65.
550
What is the lowest common multiple of 52/(676/715) - (-1 - 2*-1) and 207?
1242
Suppose -5*a - 9 - 46 = -4*u, -3*u = -5*a - 35. Let k(l) = -l**3 + 49*l**2 - 45*l - 132. What is the least common multiple of u and k(48)?
60
Let f be 7/14*(7 + -1). Suppose -d + 10 = f*h + h, -5*d = 10. Let z = 5 + h. Calculate the least common multiple of 9 and z.
72
Suppose 0 = 4*r + 4 - 28. Suppose 6*v - r = 3*v. Suppose -v*k + 6 = -14. What is the smallest common multiple of k and 9?
90
Let o be (12/10)/((64/40)/(-4)). What is the common denominator of 124/(-40)*o/(-12) and -67/24?
120
Suppose s + 15 - 79 = 0. What is the smallest common multiple of ((455/(-39))/35)/((-2)/60) and s?
320
Let k(n) = 10*n**2 - 6*n + 8. Let u be k(2). Let t = u - 31. What is the smallest common multiple of t and 15?
15
Let k = -704 + 1013. Suppose -4*u - u + 297 = 4*g, 0 = -4*g - u + k. Calculate the smallest common multiple of g and 48.
624
Let m(y) = -8*y + 3. Let w be 4/3 + 714444/123840. Let j = 5/2064 - w. Find the common denominator of m(-4) and j.
10
Suppose 0 = 17*s - 2714 - 4766. Calculate the lowest common multiple of 176 and s.
880
Let z = -3747/7 - -2147/4. Find the common denominator of z and 404/42*-8*399/(-5472).
252
Let x(m) = 537*m + 6435. What is the least common multiple of 558 and x(-8)?
12834
Let o(j) = -51*j + 97. Let s be o(3). Calculate the common denominator of s/100*(-64)/56 and 38/35.
175
Let c = -40 + 70. Suppose -4*m - 7 = -4*v - 19, -4*m + 12 = v. Suppose 0*b - 4*b - 21 = -t, 0 = -t - m*b. What is the smallest common multiple of t and c?
90
Let m = 4706 - 4701. What is the least common multiple of m and 1501?
7505
Let i(h) = -234*h - 3906. Calculate the least common multiple of 120 and i(-19).
1080
Suppose 14*j + 939 + 69 = 0. Calculate the common denominator of (j/(-10) - -2)/((-55)/25) and 22/21.
231
Let g(d) = -d - 28. Let h be g(32). What is the common denominator of -93/44 and ((-134)/(-72))/(h/(-180))?
132
Let t(g) = 5*g**3 - 4*g**2 + 2*g + 2. Let i = 47 + -58. Let u(q) = -q**3 - 9*q**2 + 22*q + 2. Let h be u(i). Calculate the least common multiple of 3 and t(h).
30
Find the common denominator of -83/48 and (((-52)/(-390))/1)/((-272)/1270).
816
Let p = 48 - 78. Let a = -15309/8 + 1915. What is the common denominator of a and p?
8
Let r(n) = n**3 + 12 + 10*n - 5*n**2 + 0*n - 2*n**3 + 18*n**2. Let b be r(14). Let v = b + 70. What is the smallest common multiple of 7 and v?
182
Let x = -6091/17 + 1302165/3638. What is the common denominator of x and 3/107?
214
Let k = 43043734/173 + -248806. Let w = -31105/3114 + k. Calculate the common denominator of 2751/72*62/(-217) and w.
36
Let y = 672984139/23313 - 86602/3. Let c = y - 27395/62168. Calculate the common denominator of c and 13/4.
152
Let s be ((-58)/(-48))/(9/38133). Let g = s + -5114. Find the common denom | {
"pile_set_name": "DM Mathematics"
} |
is the greatest common factor of 2342484 and 12?
12
What is the highest common factor of 78072 and 72?
24
What is the highest common divisor of 738885 and 2604?
651
What is the highest common factor of 726 and 2679424?
242
Calculate the greatest common divisor of 3107 and 35269.
13
Calculate the greatest common divisor of 461376 and 234.
18
Calculate the highest common factor of 178143 and 1785.
357
What is the greatest common factor of 123 and 21?
3
Calculate the highest common divisor of 48 and 1030.
2
Calculate the greatest common factor of 21 and 3728214.
21
What is the greatest common factor of 1560 and 2026830?
390
What is the greatest common divisor of 4118 and 6?
2
Calculate the highest common factor of 6941 and 1166.
11
What is the highest common divisor of 118 and 38?
2
Calculate the greatest common divisor of 469805 and 16275.
1085
Calculate the greatest common factor of 686 and 10731.
49
Calculate the highest common divisor of 8026 and 16.
2
What is the greatest common divisor of 963778 and 1962?
218
What is the greatest common divisor of 392 and 270256?
56
Calculate the highest common divisor of 69788 and 876.
292
Calculate the highest common factor of 8 and 3369912.
8
What is the highest common divisor of 3850 and 166705?
385
What is the greatest common factor of 269412 and 9438?
858
What is the highest common factor of 385614 and 74?
74
Calculate the greatest common divisor of 182 and 80548.
26
What is the highest common divisor of 1816 and 10416?
8
Calculate the highest common divisor of 3065 and 15.
5
What is the highest common divisor of 105 and 1435?
35
Calculate the greatest common factor of 173 and 3810671.
173
What is the greatest common divisor of 108 and 3628?
4
Calculate the highest common divisor of 18774 and 168.
42
Calculate the greatest common divisor of 96 and 118644.
12
Calculate the highest common divisor of 889 and 11684.
127
What is the highest common divisor of 728444 and 4?
4
What is the greatest common factor of 184 and 246?
2
Calculate the greatest common factor of 22158 and 2826.
18
Calculate the greatest common divisor of 462 and 28754.
22
Calculate the greatest common divisor of 14 and 978026.
14
What is the greatest common divisor of 2648574 and 2152?
538
Calculate the greatest common factor of 15293 and 2542.
41
What is the highest common factor of 18 and 651177?
9
What is the highest common divisor of 1007 and 49?
1
Calculate the greatest common divisor of 744 and 1536825.
93
Calculate the highest common factor of 1598 and 23834.
34
What is the highest common divisor of 54 and 777141?
27
Calculate the greatest common divisor of 228 and 3004.
4
What is the greatest common divisor of 347 and 105488?
347
What is the highest common factor of 172 and 1387954?
86
Calculate the highest common factor of 62001 and 36.
9
What is the highest common divisor of 106400 and 50?
50
What is the highest common factor of 45356 and 2448?
68
Calculate the greatest common factor of 566016 and 480.
96
What is the greatest common divisor of 1089 and 1145991?
363
What is the greatest common factor of 279488 and 3520?
704
What is the greatest common factor of 1655 and 3?
1
Calculate the greatest common factor of 9834 and 110.
22
What is the highest common factor of 6927 and 3?
3
Calculate the greatest common factor of 64 and 8530656.
32
What is the highest common divisor of 421214 and 470?
94
Calculate the highest common factor of 329 and 93086.
7
Calculate the greatest common factor of 2209 and 1363.
47
What is the greatest common divisor of 143439 and 1047?
1047
Calculate the greatest common divisor of 21689 and 4232.
529
What is the highest common divisor of 55 and 64955?
55
Calculate the highest common factor of 25909 and 26.
13
Calculate the highest common factor of 369 and 87576.
123
What is the highest common divisor of 616 and 753445?
77
What is the highest common factor of 292 and 548?
4
What is the greatest common factor of 31206 and 42?
42
What is the greatest common factor of 5038 and 814?
22
Calculate the highest common factor of 4952 and 56.
8
Calculate the greatest common factor of 1254 and 263241.
33
What is the greatest common divisor of 116667 and 81?
27
Calculate the highest common factor of 311898 and 9847.
229
What is the greatest common factor of 92 and 22586?
46
What is the highest common factor of 1447 and 34?
1
Calculate the highest common divisor of 131224 and 87608.
376
What is the highest common divisor of 386 and 280622?
386
Calculate the greatest common factor of 11994813 and 9.
9
Calculate the highest common divisor of 12 and 628329.
3
What is the greatest common factor of 27 and 2281167?
9
Calculate the highest common factor of 671 and 341051.
61
Calculate the greatest common divisor of 220500 and 1008.
252
Calculate the greatest common factor of 2698 and 2.
2
Calculate the highest common factor of 5364 and 323181.
1341
What is the highest common factor of 15 and 2891985?
15
Calculate the highest common factor of 505064 and 232.
232
What is the greatest common divisor of 35542 and 338?
26
Calculate the highest common divisor of 1704231 and 897.
69
What is the highest common divisor of 221 and 70108?
17
What is the greatest common divisor of 282 and 240546?
282
What is the greatest common divisor of 10 and 234970?
10
Calculate the highest common divisor of 5317 and 1222.
13
Calculate the greatest common factor of 45968 and 272.
272
Calculate the highest common factor of 445300 and 25.
25
What is the highest common factor of 96 and 44592?
48
What is the highest common divisor of 24280 and 16?
8
What is the highest common divisor of 635064 and 28150?
1126
What is the greatest common factor of 937765 and 5476?
1369
Calculate the greatest common divisor of 14720 and 76480.
320
What is the highest common factor of 52 and 309712?
52
What is the greatest common divisor of 915 and 4065?
15
What is the greatest common factor of 440 and 378680?
40
What is the greatest common factor of 15106 and 546?
182
Calculate the greatest common divisor of 3063239 and 401.
401
Calculate the highest common factor of 48 and 13892280.
24
What is the highest common factor of 183268 and 4?
4
What is the highest common factor of 11407295 and 5210?
2605
Calculate the highest common factor of 430294 and 122.
122
Calculate the greatest common factor of 56 and 29128.
8
What is the greatest common divisor of 69 and 45218?
23
Calculate the greatest common divisor of 2359049 and 77.
77
Calculate the greatest common factor of 497160 and 405.
45
What is the greatest common divisor of 57350 and 930?
310
What is the greatest common divisor of 528 and 33440?
176
What is the highest common factor of 3663 and 116217?
333
What is the greatest common factor of 225847 and 503?
503
Calculate the highest common factor of 646625 and 5912.
739
What is the greatest common divisor of 340 and 1056397?
17
What is the greatest common divisor of 4832 and 8758?
302
What is the highest common divisor of 574 and 1189?
41
Calculate the highest common factor of 780 and 602355.
195
Calculate the greatest common factor of 136824 and 1128.
24
Calculate the highest common divisor of 122 and 91134.
122
Calculate the greatest common divisor of 4747 and 29516.
47
What is the highest common factor of 140624 and 704?
176
Calculate the highest common divisor of 79478 and 392.
98
What is the greatest common factor of 1000 and 15125?
125
What is the highest common factor of 6096 and 663448?
1016
Calculate the highest common divisor of 544 and 1568.
32
What is the highest common divisor of 25 and 10975?
25
Calculate the highest common factor of 4174687 and 22.
11
What is the greatest common factor of 29798 and 23594?
94
What is the highest common factor of 97699 and 595?
119
Calculate the highest common factor of 7755 and 138180.
705
Calculate the greatest common divisor of 239183 and 7997.
727
Calculate the greatest common divisor of 162576 and 36.
36
Calculate the highest common divisor of 2718 and 144.
18
What is the greatest common divisor of 3030 and 50295?
15
What is the highest common factor of 1272 and 744?
24
What is the greatest common divisor of 81 and 47?
1
What is the greatest common divisor of 1677320 and 760?
760
Calculate the greatest common fact | {
"pile_set_name": "DM Mathematics"
} |
m jnnjrjcj. What is prob of sequence jc?
1/14
Calculate prob of sequence bobb when four letters picked without replacement from hblbbolxlhphbh.
1/1001
Calculate prob of sequence xfdf when four letters picked without replacement from dxdwxxxxffrdxwxdf.
1/340
Two letters picked without replacement from {y: 3, d: 4, j: 13}. Give prob of sequence jj.
39/95
Two letters picked without replacement from qzzltjjc. Give prob of sequence lq.
1/56
Two letters picked without replacement from {u: 9, l: 3}. What is prob of sequence uu?
6/11
Calculate prob of sequence qaqa when four letters picked without replacement from qqaaaqaaaaaaaaaaqqaa.
35/969
Three letters picked without replacement from {d: 3, b: 1, y: 6, a: 3, e: 4, j: 1}. Give prob of sequence bda.
1/544
Three letters picked without replacement from ppnppppapppnpa. Give prob of sequence app.
15/182
Two letters picked without replacement from {i: 1, s: 2}. What is prob of sequence ss?
1/3
Three letters picked without replacement from gvfvffgfvffvf. What is prob of sequence gvf?
14/429
What is prob of sequence dg when two letters picked without replacement from {k: 7, d: 3, g: 2}?
1/22
Four letters picked without replacement from {s: 2, v: 1, b: 4, g: 1}. Give prob of sequence bssg.
1/210
Three letters picked without replacement from cccccc. Give prob of sequence ccc.
1
Two letters picked without replacement from {b: 1, i: 1, p: 1}. What is prob of sequence pi?
1/6
What is prob of sequence wowo when four letters picked without replacement from {o: 2, w: 8}?
1/45
What is prob of sequence hhfy when four letters picked without replacement from {f: 2, w: 1, y: 4, h: 2}?
1/189
Four letters picked without replacement from mmwwowomwow. What is prob of sequence wwwo?
1/44
Calculate prob of sequence fj when two letters picked without replacement from {j: 2, r: 2, f: 1}.
1/10
Three letters picked without replacement from llpl. What is prob of sequence llp?
1/4
Three letters picked without replacement from enrnj. Give prob of sequence enr.
1/30
Two letters picked without replacement from ioxiddwdxx. Give prob of sequence xd.
1/10
Calculate prob of sequence ayk when three letters picked without replacement from aaaakykoaccakokayc.
7/612
Two letters picked without replacement from qjwgjgggggggggjjgjg. What is prob of sequence qq?
0
Three letters picked without replacement from {d: 4, l: 1, k: 2, u: 1}. Give prob of sequence ddl.
1/28
Calculate prob of sequence zs when two letters picked without replacement from {s: 1, o: 4, q: 6, h: 3, z: 2, p: 2}.
1/153
Two letters picked without replacement from {f: 2, r: 6, p: 1, s: 7, k: 1}. What is prob of sequence rp?
3/136
Calculate prob of sequence cnmv when four letters picked without replacement from {s: 2, m: 2, w: 1, v: 1, n: 2, c: 4}.
2/1485
Two letters picked without replacement from bdbcihicdbcdiccihdh. What is prob of sequence ic?
10/171
Calculate prob of sequence mhh when three letters picked without replacement from {b: 5, r: 1, m: 1, h: 3}.
1/120
Three letters picked without replacement from {e: 3, t: 1, d: 1, q: 5}. Give prob of sequence deq.
1/48
Calculate prob of sequence mm when two letters picked without replacement from {m: 6, b: 3, j: 6}.
1/7
What is prob of sequence us when two letters picked without replacement from ukrppksb?
1/56
Calculate prob of sequence vc when two letters picked without replacement from {v: 1, a: 1, o: 1, c: 1, b: 1}.
1/20
Four letters picked without replacement from {n: 3, m: 4, p: 9, z: 4}. What is prob of sequence znmp?
6/1615
Four letters picked without replacement from {t: 1, e: 5, x: 3, n: 3, u: 2, y: 1}. What is prob of sequence ttux?
0
Calculate prob of sequence blml when four letters picked without replacement from {l: 2, m: 1, g: 9, b: 7}.
7/46512
Four letters picked without replacement from ffxxxxx. Give prob of sequence fxxf.
1/21
What is prob of sequence ib when two letters picked without replacement from {h: 12, r: 2, b: 2, y: 1, i: 2}?
2/171
What is prob of sequence gzoq when four letters picked without replacement from {h: 1, g: 6, o: 8, z: 1, q: 2}?
1/765
What is prob of sequence hd when two letters picked without replacement from skhwddhw?
1/14
Calculate prob of sequence kkww when four letters picked without replacement from {w: 4, q: 1, k: 2}.
1/35
Three letters picked without replacement from {i: 2, x: 3}. Give prob of sequence xxx.
1/10
Calculate prob of sequence bjbb when four letters picked without replacement from bjbbjb.
2/15
Two letters picked without replacement from bgggggbgggggg. Give prob of sequence bb.
1/78
What is prob of sequence af when two letters picked without replacement from xyggfyfgaffgffx?
1/35
Three letters picked without replacement from {u: 3, v: 2, n: 12}. Give prob of sequence nnn.
11/34
Three letters picked without replacement from qqqrqbqbqqzzqqzzqqbq. What is prob of sequence zbq?
2/95
Four letters picked without replacement from iiiiiiiiiiiiiikiii. Give prob of sequence ikkk.
0
Four letters picked without replacement from {k: 4, w: 1, q: 1, o: 6, d: 6}. What is prob of sequence kkqw?
1/6120
Four letters picked without replacement from {t: 1, c: 1, o: 4, l: 1, j: 7, r: 4}. What is prob of sequence octo?
1/6120
What is prob of sequence xxnw when four letters picked without replacement from {b: 2, n: 1, r: 1, w: 2, x: 1, z: 1}?
0
Calculate prob of sequence iii when three letters picked without replacement from {f: 8, i: 4, b: 1}.
2/143
What is prob of sequence ele when three letters picked without replacement from ooeeollooooo?
1/330
Four letters picked without replacement from {r: 3, i: 8}. Give prob of sequence riri.
7/165
What is prob of sequence ubbj when four letters picked without replacement from uuujuuuuuuuubuubb?
13/9520
What is prob of sequence ovvv when four letters picked without replacement from vivtvoi?
1/140
Two letters picked without replacement from ggtgxxgxzggzzjx. Give prob of sequence zg.
3/35
Four letters picked without replacement from {h: 1, g: 11, e: 5}. What is prob of sequence gggg?
33/238
What is prob of sequence oo when two letters picked without replacement from {o: 12, h: 6}?
22/51
What is prob of sequence zzf when three letters picked without replacement from {m: 1, c: 2, w: 2, f: 2, q: 3, z: 2}?
1/330
Calculate prob of sequence pn when two letters picked without replacement from ppnnnpnpnpnpppnnnpn.
5/19
Two letters picked without replacement from {z: 8, j: 2, o: 2}. Give prob of sequence jz.
4/33
What is prob of sequence pw when two letters picked without replacement from jwapp?
1/10
Four letters picked without replacement from heiihgeiefeefoiighi. What is prob of sequence ohfi?
1/2584
What is prob of sequence pn when two letters picked without replacement from {a: 2, p: 1, u: 1, n: 1}?
1/20
Four letters picked without replacement from ookkookokokok. What is prob of sequence oooo?
7/143
What is prob of sequence fi when two letters picked without replacement from {i: 2, f: 2}?
1/3
Three letters picked without replacement from bvoyp. Give prob of sequence yyb.
0
Three letters picked without replacement from {h: 4, c: 1, l: 6}. Give prob of sequence llc.
1/33
Calculate prob of sequence kkkk when four letters picked without replacement from kkkkkkkkkikkkiik.
11/28
Calculate prob of sequence tjt when three letters picked without replacement from jjjjjjjjjjttj.
1/78
Three letters picked without replacement from gdxmdxdddxdgxddmxxd. What is prob of sequence dxd?
24/323
Calculate prob of sequence xxtk when four letters picked without replacement from xxktt.
1/30
What is prob of sequence whl when three letters picked without replacement from hwll?
1/12
Three letters picked without replacement from {f: 5, c: 3, n: 8}. Give prob of sequence nnf.
1/12
Four letters picked without replacement from {y: 3, z: 4}. What is prob of sequence yyzy?
1/35
What is prob of sequence cmmc when four letters picked without replacement from {c: 9, m: 7}?
9/130
What is prob of sequence fvt when three letters picked without replacement from tvvtttf?
4/105
What is prob of sequence tzz when three letters picked without replacement from oznffttnfnfzzznffm?
1/204
What is prob of sequence mu when two letters picked without replacement from {u: 1, w: 2, s: 1, g: 2, m: 2}?
1/28
What i | {
"pile_set_name": "DM Mathematics"
} |
divided by 105.
52
Calculate the remainder when 153 is divided by 47.
12
Calculate the remainder when 714 is divided by 72.
66
What is the remainder when 992 is divided by 988?
4
Calculate the remainder when 1013 is divided by 85.
78
What is the remainder when 687 is divided by 285?
117
Calculate the remainder when 113 is divided by 18.
5
What is the remainder when 926 is divided by 18?
8
What is the remainder when 7748 is divided by 51?
47
Calculate the remainder when 225 is divided by 38.
35
What is the remainder when 635 is divided by 11?
8
Calculate the remainder when 328 is divided by 15.
13
Calculate the remainder when 311 is divided by 63.
59
What is the remainder when 287 is divided by 58?
55
Calculate the remainder when 245 is divided by 82.
81
Calculate the remainder when 327 is divided by 55.
52
What is the remainder when 213 is divided by 27?
24
What is the remainder when 125 is divided by 51?
23
What is the remainder when 573 is divided by 24?
21
What is the remainder when 417 is divided by 11?
10
Calculate the remainder when 532 is divided by 38.
0
What is the remainder when 223 is divided by 56?
55
Calculate the remainder when 114 is divided by 30.
24
What is the remainder when 424 is divided by 94?
48
What is the remainder when 357 is divided by 34?
17
Calculate the remainder when 111 is divided by 20.
11
What is the remainder when 60 is divided by 5?
0
What is the remainder when 2123 is divided by 19?
14
Calculate the remainder when 31 is divided by 27.
4
What is the remainder when 586 is divided by 7?
5
What is the remainder when 120 is divided by 22?
10
What is the remainder when 75 is divided by 11?
9
What is the remainder when 1502 is divided by 1485?
17
Calculate the remainder when 1366 is divided by 37.
34
Calculate the remainder when 470 is divided by 43.
40
Calculate the remainder when 104 is divided by 88.
16
What is the remainder when 5129 is divided by 4?
1
Calculate the remainder when 2173 is divided by 128.
125
Calculate the remainder when 3532 is divided by 7.
4
Calculate the remainder when 2536 is divided by 507.
1
What is the remainder when 42 is divided by 9?
6
What is the remainder when 152 is divided by 29?
7
Calculate the remainder when 141 is divided by 76.
65
What is the remainder when 6061 is divided by 14?
13
What is the remainder when 224 is divided by 88?
48
What is the remainder when 250 is divided by 17?
12
What is the remainder when 2341 is divided by 71?
69
Calculate the remainder when 92 is divided by 20.
12
Calculate the remainder when 4193 is divided by 28.
21
Calculate the remainder when 1548 is divided by 260.
248
Calculate the remainder when 669 is divided by 56.
53
What is the remainder when 32 is divided by 6?
2
What is the remainder when 399 is divided by 20?
19
Calculate the remainder when 13 is divided by 2.
1
What is the remainder when 475 is divided by 80?
75
What is the remainder when 52 is divided by 11?
8
Calculate the remainder when 154 is divided by 37.
6
Calculate the remainder when 1241 is divided by 37.
20
What is the remainder when 4571 is divided by 52?
47
Calculate the remainder when 275 is divided by 45.
5
What is the remainder when 11302 is divided by 19?
16
What is the remainder when 2121 is divided by 57?
12
Calculate the remainder when 576 is divided by 17.
15
What is the remainder when 215 is divided by 7?
5
Calculate the remainder when 3612 is divided by 18.
12
Calculate the remainder when 201 is divided by 12.
9
Calculate the remainder when 241 is divided by 14.
3
Calculate the remainder when 430 is divided by 206.
18
Calculate the remainder when 5909 is divided by 8.
5
What is the remainder when 118 is divided by 31?
25
Calculate the remainder when 1177 is divided by 33.
22
What is the remainder when 1381 is divided by 29?
18
Calculate the remainder when 968 is divided by 20.
8
What is the remainder when 765 is divided by 232?
69
What is the remainder when 527 is divided by 67?
58
Calculate the remainder when 363 is divided by 98.
69
Calculate the remainder when 524 is divided by 44.
40
Calculate the remainder when 390 is divided by 33.
27
What is the remainder when 94 is divided by 50?
44
What is the remainder when 408 is divided by 109?
81
Calculate the remainder when 164 is divided by 99.
65
What is the remainder when 7339 is divided by 38?
5
What is the remainder when 20 is divided by 10?
0
What is the remainder when 692 is divided by 136?
12
Calculate the remainder when 213 is divided by 55.
48
Calculate the remainder when 339 is divided by 168.
3
Calculate the remainder when 2521 is divided by 12.
1
Calculate the remainder when 118 is divided by 34.
16
What is the remainder when 278 is divided by 14?
12
What is the remainder when 147 is divided by 4?
3
Calculate the remainder when 100 is divided by 34.
32
What is the remainder when 482 is divided by 9?
5
What is the remainder when 106 is divided by 56?
50
Calculate the remainder when 900 is divided by 17.
16
What is the remainder when 296 is divided by 61?
52
Calculate the remainder when 2233 is divided by 43.
40
What is the remainder when 322 is divided by 148?
26
What is the remainder when 442 is divided by 149?
144
Calculate the remainder when 206 is divided by 30.
26
Calculate the remainder when 223 is divided by 56.
55
Calculate the remainder when 314 is divided by 63.
62
What is the remainder when 88 is divided by 44?
0
Calculate the remainder when 274 is divided by 99.
76
Calculate the remainder when 22570 is divided by 12.
10
Calculate the remainder when 115495 is divided by 123.
121
What is the remainder when 856 is divided by 8?
0
Calculate the remainder when 37 is divided by 19.
18
What is the remainder when 57 is divided by 4?
1
Calculate the remainder when 149 is divided by 39.
32
Calculate the remainder when 6062 is divided by 50.
12
Calculate the remainder when 310 is divided by 198.
112
Calculate the remainder when 1563 is divided by 222.
9
Calculate the remainder when 1299 is divided by 25.
24
Calculate the remainder when 180 is divided by 61.
58
Calculate the remainder when 97 is divided by 7.
6
Calculate the remainder when 131 is divided by 113.
18
Calculate the remainder when 1726 is divided by 859.
8
Calculate the remainder when 46 is divided by 45.
1
What is the remainder when 125 is divided by 59?
7
What is the remainder when 476 is divided by 29?
12
What is the remainder when 13610 is divided by 39?
38
Calculate the remainder when 68 is divided by 36.
32
What is the remainder when 35374 is divided by 16?
14
Calculate the remainder when 654 is divided by 138.
102
Calculate the remainder when 85 is divided by 5.
0
Calculate the remainder when 1987 is divided by 151.
24
Calculate the remainder when 281 is divided by 27.
11
What is the remainder when 1262 is divided by 16?
14
What is the remainder when 88 is divided by 49?
39
What is the remainder when 564 is divided by 184?
12
What is the remainder when 1263 is divided by 620?
23
What is the remainder when 171 is divided by 18?
9
Calculate the remainder when 118 is divided by 32.
22
What is the remainder when 172 is divided by 3?
1
What is the remainder when 1655 is divided by 166?
161
What is the remainder when 6843 is divided by 163?
160
Calculate the remainder when 168 is divided by 29.
23
Calculate the remainder when 61999 is divided by 124.
123
Calculate the remainder when 54 is divided by 20.
14
Calculate the remainder when 93 is divided by 26.
15
Calculate the remainder when 1492 is divided by 28.
8
What is the remainder when 1491 is divided by 406?
273
What is the remainder when 95 is divided by 24?
23
Calculate the remainder when 1190 is divided by 48.
38
Calculate the remainder when 168 is divided by 93.
75
Calculate the remainder when 286 is divided by 45.
16
What is the remainder when 1504 is divided by 63?
55
What is the remainder when 94 is divided by 49?
45
Calculate the remainder when 2569 is divided by 39.
34
Calculate the remainder when 434 is divided by 113.
95
Calculate the remainder when 743 is divided by 366.
11
Calculate the remainder when 380 is divided by 122.
14
Calculate the remainder when 501 is divided by 31.
5
Calculate the remainder when 119 is divided by 24.
23
What is the remainder when 6692 is divide | {
"pile_set_name": "DM Mathematics"
} |
placement from {l: 2, i: 1, x: 2, p: 1, s: 2, t: 1}.
1/126
Three letters picked without replacement from {q: 3, n: 11, s: 2, m: 1, v: 2}. What is prob of sequence nqs?
11/969
Calculate prob of sequence ooqr when four letters picked without replacement from {q: 8, o: 4, r: 1}.
4/715
What is prob of sequence fb when two letters picked without replacement from {k: 2, f: 2, b: 2, d: 2}?
1/14
Three letters picked without replacement from {h: 6, p: 4, x: 2}. Give prob of sequence xpp.
1/55
Calculate prob of sequence zbz when three letters picked without replacement from rrzzbrrrrbvrr.
1/429
Three letters picked without replacement from {h: 2, w: 3}. Give prob of sequence hhw.
1/10
Four letters picked without replacement from ggggggggggxgxx. What is prob of sequence xgxx?
1/364
Calculate prob of sequence kchc when four letters picked without replacement from {j: 1, c: 2, a: 2, k: 1, h: 2}.
1/420
Two letters picked without replacement from {u: 2, c: 2, s: 6, g: 1}. Give prob of sequence sc.
6/55
Calculate prob of sequence qhq when three letters picked without replacement from qpqhppphppppqhphqpp.
8/969
What is prob of sequence qrw when three letters picked without replacement from aqqamwr?
1/105
Two letters picked without replacement from fffeffffffffeeffef. What is prob of sequence ef?
28/153
What is prob of sequence zlzs when four letters picked without replacement from splspsszlpszlsslslsz?
3/1292
What is prob of sequence tt when two letters picked without replacement from twwltwtlwwwwtwwjw?
3/68
Three letters picked without replacement from nrrrrrrnrrnnnrrr. Give prob of sequence rnr.
55/336
What is prob of sequence sama when four letters picked without replacement from ssmamanssmsanmassms?
5/969
Four letters picked without replacement from {n: 1, y: 3, r: 2, w: 1}. Give prob of sequence yryn.
1/70
Three letters picked without replacement from {f: 1, j: 1, m: 2, n: 1, k: 2, i: 1}. What is prob of sequence kkf?
1/168
What is prob of sequence ay when two letters picked without replacement from oaglygi?
1/42
What is prob of sequence wwss when four letters picked without replacement from wwwsssw?
3/35
Three letters picked without replacement from {k: 8, p: 8, x: 1}. Give prob of sequence ppp.
7/85
What is prob of sequence jmc when three letters picked without replacement from {r: 1, c: 1, j: 1, s: 4, f: 1, m: 5}?
5/1716
What is prob of sequence rn when two letters picked without replacement from mrvnm?
1/20
Calculate prob of sequence un when two letters picked without replacement from {u: 16, n: 4}.
16/95
What is prob of sequence uoo when three letters picked without replacement from {l: 1, o: 6, u: 1, i: 1}?
5/84
Calculate prob of sequence yvy when three letters picked without replacement from tvvvytvtvtyttvvvv.
3/680
Calculate prob of sequence cu when two letters picked without replacement from {u: 7, c: 1, y: 3, i: 1}.
7/132
Four letters picked without replacement from rhhhrrrr. Give prob of sequence hhrh.
1/56
Two letters picked without replacement from {m: 4, f: 8, d: 8}. What is prob of sequence ff?
14/95
Calculate prob of sequence iqi when three letters picked without replacement from {q: 7, i: 4, m: 3}.
1/26
Calculate prob of sequence kk when two letters picked without replacement from {k: 3, v: 15}.
1/51
Calculate prob of sequence euee when four letters picked without replacement from ewllewluewe.
1/330
Calculate prob of sequence tt when two letters picked without replacement from {d: 2, t: 2}.
1/6
Two letters picked without replacement from {u: 8, l: 3}. What is prob of sequence lu?
12/55
Calculate prob of sequence mpmm when four letters picked without replacement from {p: 1, m: 18}.
1/19
Two letters picked without replacement from zkhzkkzzzzzzkrh. Give prob of sequence kz.
16/105
Four letters picked without replacement from kvkkevkkvzkz. Give prob of sequence vzve.
1/990
Two letters picked without replacement from {h: 12, a: 3, j: 1, s: 4}. Give prob of sequence jh.
3/95
What is prob of sequence gg when two letters picked without replacement from {g: 2, l: 7, u: 2, f: 4, n: 3}?
1/153
Two letters picked without replacement from {v: 2, y: 2, s: 10, m: 1, h: 2, p: 2}. Give prob of sequence ss.
5/19
Calculate prob of sequence sr when two letters picked without replacement from {r: 2, i: 1, s: 5, e: 1}.
5/36
Calculate prob of sequence jj when two letters picked without replacement from {q: 3, j: 3, n: 7}.
1/26
Four letters picked without replacement from iriirigriirirriihii. Give prob of sequence ihri.
55/7752
Two letters picked without replacement from {e: 6, h: 1, t: 2, b: 3, c: 1}. What is prob of sequence bh?
1/52
What is prob of sequence amd when three letters picked without replacement from dmaadm?
1/15
What is prob of sequence xw when two letters picked without replacement from cccxcwcwxwxcwcwx?
1/12
Calculate prob of sequence xii when three letters picked without replacement from {x: 13, i: 5}.
65/1224
What is prob of sequence gcc when three letters picked without replacement from {g: 2, c: 9, n: 7}?
1/34
What is prob of sequence jdjv when four letters picked without replacement from ytvtvvtvtvdkktvvjtj?
7/46512
Two letters picked without replacement from qbnnsqbqbdsnc. What is prob of sequence qd?
1/52
Calculate prob of sequence ww when two letters picked without replacement from {w: 3, q: 8}.
3/55
Calculate prob of sequence tzef when four letters picked without replacement from {e: 5, p: 1, t: 4, z: 1, f: 3, y: 3}.
1/952
Three letters picked without replacement from ttttttmbmbbbttbtttt. Give prob of sequence tmb.
20/969
Two letters picked without replacement from lrgr. Give prob of sequence rl.
1/6
Calculate prob of sequence ulj when three letters picked without replacement from {k: 2, l: 2, u: 3, j: 9}.
9/560
Two letters picked without replacement from {p: 1, j: 3, o: 3, d: 1, x: 5}. What is prob of sequence op?
1/52
Calculate prob of sequence hfh when three letters picked without replacement from vfhfoofoohoooovh.
3/560
What is prob of sequence uqfu when four letters picked without replacement from ququfuuquusqtq?
25/4004
Two letters picked without replacement from ffyyffiffyfifyfffiff. What is prob of sequence yf?
13/95
Calculate prob of sequence kppp when four letters picked without replacement from {p: 4, k: 10}.
10/1001
Three letters picked without replacement from {d: 2, c: 1}. Give prob of sequence ccc.
0
Calculate prob of sequence qq when two letters picked without replacement from {q: 11, f: 2}.
55/78
Two letters picked without replacement from ddwdeuudedeidee. What is prob of sequence ui?
1/105
Calculate prob of sequence rr when two letters picked without replacement from {l: 2, r: 8}.
28/45
Calculate prob of sequence twww when four letters picked without replacement from {t: 6, w: 13}.
143/1292
Three letters picked without replacement from {j: 1, e: 19}. What is prob of sequence jee?
1/20
What is prob of sequence bff when three letters picked without replacement from fllfbfffllf?
1/33
Calculate prob of sequence oju when three letters picked without replacement from uzjvovvoomoomooooo.
5/2448
Calculate prob of sequence mv when two letters picked without replacement from {m: 3, v: 4}.
2/7
Three letters picked without replacement from {x: 3, h: 1, n: 5, w: 5, b: 4, f: 2}. Give prob of sequence bnh.
1/342
Three letters picked without replacement from {x: 7, e: 4}. What is prob of sequence xee?
14/165
Calculate prob of sequence ii when two letters picked without replacement from {c: 2, i: 6}.
15/28
Two letters picked without replacement from bbzbbzbzbzzb. What is prob of sequence zb?
35/132
Three letters picked without replacement from dzdtddgigidzzgu. What is prob of sequence idz?
1/91
Four letters picked without replacement from {l: 2, u: 1, p: 1, b: 2, v: 2}. What is prob of sequence blbp?
1/420
Calculate prob of sequence wg when two letters picked without replacement from ooooggotw.
1/36
Three letters picked without replacement from lhtsttthth. What is prob of sequence lts?
1/144
What is prob of sequence jo when two letters picked without replacement from jtooj?
1/5
Three letters picked without replacement from uuuyuuy. What is prob of sequence yuu?
4/21
Calculate prob of sequence maa when three letters picked without r | {
"pile_set_name": "DM Mathematics"
} |
+ 26*y**3 + 0 + 0.
-6*y**3
Collect the terms in -8*a - 5 + 13 - 2 - 5.
-8*a + 1
Collect the terms in 782*l**2 - 46*l**2 + 652*l**2.
1388*l**2
Collect the terms in 95*w**2 - 122*w**3 - 95*w**2.
-122*w**3
Collect the terms in -2 - 9*c + 2 - 24*c.
-33*c
Collect the terms in 12*h**3 + 178*h**2 - 63*h**2 - 59*h**2 - 56*h**2.
12*h**3
Collect the terms in 5 - 107*g + 55*g + 46*g - 2.
-6*g + 3
Collect the terms in -260*v**2 + 494*v**2 - 241*v**2.
-7*v**2
Collect the terms in 80650*j**2 - 4*j**3 - 80650*j**2.
-4*j**3
Collect the terms in -12 - 2 + 33*a + 17*a + 13.
50*a - 1
Collect the terms in 42*u**2 - 9*u**3 - 42*u**2 + 8*u**3.
-u**3
Collect the terms in -2*h**2 + 4*h**2 + 2*h**2.
4*h**2
Collect the terms in 4*l - l**2 - 4*l - 5*l + 0*l.
-l**2 - 5*l
Collect the terms in -46*r**3 + 20*r**3 + 21*r**3.
-5*r**3
Collect the terms in -5*l**3 - 43*l**3 + 335*l**2 - 335*l**2.
-48*l**3
Collect the terms in -124*y + 224*y - 1101*y.
-1001*y
Collect the terms in -131*h**3 - 130*h**3 + 37*h**3.
-224*h**3
Collect the terms in 356*x**3 - 124*x**3 + 235*x**3.
467*x**3
Collect the terms in 14*z + 512 - 512.
14*z
Collect the terms in 20 + 47 - z**2 - 17 + 3.
-z**2 + 53
Collect the terms in 0 + 0 - 49675*g**2 + 49677*g**2.
2*g**2
Collect the terms in -9*x + 19*x - 9*x - 9*x.
-8*x
Collect the terms in -463*i - 465*i + 925*i.
-3*i
Collect the terms in 74*x + 8*x**2 - 74*x.
8*x**2
Collect the terms in -2*l**3 - 31*l + 3*l**3 + 26*l.
l**3 - 5*l
Collect the terms in -8*f**3 - 4*f**3 + f**3.
-11*f**3
Collect the terms in 2*h**3 + 3*h**3 + 7*h**3.
12*h**3
Collect the terms in -281*j**3 + 276*j**3 - 1 + 0.
-5*j**3 - 1
Collect the terms in -88*x + 172*x - 90*x.
-6*x
Collect the terms in 95*u**3 - 4*u**2 + 4*u**2 - 90*u**3.
5*u**3
Collect the terms in -11*h**2 - 17*h**2 - 16*h**2 - 16*h**3 + 39*h**2.
-16*h**3 - 5*h**2
Collect the terms in 17*z**3 - 7 - 9*z**3 + 16*z**3.
24*z**3 - 7
Collect the terms in -71*g + 142*g - 68*g.
3*g
Collect the terms in 2*f + f - 3*f - 12*f**3.
-12*f**3
Collect the terms in 19*q**3 - 11*q**3 - 5*q**3 - 11*q**3.
-8*q**3
Collect the terms in -10*q**2 + 23*q**3 + 10*q**2 - 15*q**3.
8*q**3
Collect the terms in -8*i**3 + 18*i**3 + 8*i**3.
18*i**3
Collect the terms in -5 - 17 - 30 + 6*k - 4*k.
2*k - 52
Collect the terms in -24*s - 2*s - 32*s.
-58*s
Collect the terms in -2*k**2 + 22 - 5 - 17.
-2*k**2
Collect the terms in -5*g**3 + 8*g**3 + 6*g**3 + g**3.
10*g**3
Collect the terms in -87*h**3 + 43*h**3 + 42*h**3.
-2*h**3
Collect the terms in -12*b + 85 - 85 - 6*b.
-18*b
Collect the terms in -3 + 6 - 3 - 2*w.
-2*w
Collect the terms in 4 - 7 + 3 - 147*x**2.
-147*x**2
Collect the terms in 6 + 0 - 3 + 1 + 2*u.
2*u + 4
Collect the terms in -9*t**2 + 49*t**2 - 2*t + 62*t**2 - 12*t**2.
90*t**2 - 2*t
Collect the terms in 14*g - 33*g + 26*g.
7*g
Collect the terms in -6 + 6 + 5*x - 12*x.
-7*x
Collect the terms in 62 - 35*p - 62.
-35*p
Collect the terms in -14959 - 2*s**2 + 14959.
-2*s**2
Collect the terms in 6 - 12 - 5*q + 6.
-5*q
Collect the terms in 28 - 28 - 791*j.
-791*j
Collect the terms in 1444*m**3 - 2880*m**3 + 1440*m**3.
4*m**3
Collect the terms in -3*k**2 + 9*k**2 - k**2 + 5*k**2.
10*k**2
Collect the terms in 2 - 21*f - 2 + f.
-20*f
Collect the terms in -64*h + 29*h + 27*h.
-8*h
Collect the terms in 11*v**2 + 5 - 5.
11*v**2
Collect the terms in -524*o - 243*o + 5 - 5.
-767*o
Collect the terms in 14*f**2 - f**2 - 15*f**2.
-2*f**2
Collect the terms in 420*q**2 - 843*q**2 + 425*q**2.
2*q**2
Collect the terms in -8448*o - 8443*o + 16892*o.
o
Collect the terms in 5*g + 178 + 171 - 349.
5*g
Collect the terms in 6*i**3 - 14*i**3 + 2*i**3 + 3*i**3.
-3*i**3
Collect the terms in -3*p**2 + 0*p**2 + p**2 - 23*p**2.
-25*p**2
Collect the terms in 2*c**3 - 10*c**3 - 11*c**3 - 2.
-19*c**3 - 2
Collect the terms in -6*a + 6*a - a - a.
-2*a
Collect the terms in 6 + 5*f**3 - 3*f**3 - 6 - 3*f**3.
-f**3
Collect the terms in -7*g**2 - 7*g**3 + 13*g**2 - 6*g**2.
-7*g**3
Collect the terms in -6 + 2 + 4 + 8*f**2.
8*f**2
Collect the terms in 4*y**2 - 5*y**2 - y**2 + 0*y**2.
-2*y**2
Collect the terms in -11*h**2 + 14*h**2 - 9*h**2.
-6*h**2
Collect the terms in -3 - 2300*z + 3.
-2300*z
Collect the terms in 56*s**3 - 9*s**3 + 26*s**3 - 6*s**3.
67*s**3
Collect the terms in -39*s + 16 - 16.
-39*s
Collect the terms in 5*b**2 - 2*b**2 + 4*b**2.
7*b**2
Collect the terms in -v**2 - 9*v**2 + 27*v**2 - 5*v**2.
12*v**2
Collect the terms in 51*x - 106*x + 51*x.
-4*x
Collect the terms in 3 - 3 - 321*w**3 + 152*w**3.
-169*w**3
Collect the terms in 2*w + 2*w - 1 + 15.
4*w + 14
Collect the terms in -90 + 90 + 6*x**2 + 3*x**2.
9*x**2
Collect the terms in 76 - 161 + 85 + 17*c**2.
17*c**2
Collect the terms in -981*g**2 + 1703*g**2 + 1101*g**2.
1823*g**2
Collect the terms in -7*d - 16*d - 4 + 5*d.
-18*d - 4
Collect the terms in 636 + 0*g**3 + 3*g**3 - g**3.
2*g**3 + 636
Collect the terms in 94*n**3 + 326*n**3 + 221*n**3 - 11*n**3.
630*n**3
Collect the terms in -4*v + 4*v - 3*v.
-3*v
Collect the terms in 10*b**3 - 76*b**2 + 76*b**2 + 16*b**3.
26*b**3
Collect the terms in 8*v - 25*v + 17*v + 5*v.
5*v
Collect the terms in -z**2 + 83 + 91 - 174.
-z**2
Collect the terms in 14362 - 14362 - 10*w**2.
-10*w**2
Collect the terms in -520 - 12*f - 529 + 1049.
-12*f
Collect the terms in -15*p - 11*p + 38*p.
12*p
Collect the terms in 29*b + 28*b - 55*b.
2*b
Collect the terms in -18*l**2 + 6*l**2 - 5*l**2.
-17*l**2
Collect the terms in 9*z + 13*z - z + z + 7.
22*z + 7
Collect the terms in -5*i + 5*i + 7*i**2.
7*i**2
Collect the terms in 41*s**2 - 23*s**2 - 26*s**2.
-8*s**2
Collect the terms in 188 - 372 + 184 + w**3.
w**3
Collect the terms in 2 - 26*w**3 - 2 - 9*w**3.
-35*w**3
Collect the terms in -9*j**3 - 2 + 50*j**3 + 2.
41*j**3
Collect the terms in -k**3 - 8*k**3 + 5*k**3.
-4*k**3
Collect the terms in -2*r + 16*r + 2*r**2 + r**2.
3*r**2 + 14*r
Collect the terms in 148*r + 153*r - 309*r.
-8*r
Collect the terms in -g + 75 + 0*g - 2*g - 4*g.
-7*g + 75
Collect the terms in -14 + 14 - 45*b**2 + 6*b**2.
-39*b**2
Collect the terms in 7*l - 7*l - 5*l**2 - 30*l**2.
-35*l**2
Collect the terms in 0*o - o + 3*o - 3*o + 8*o**3.
8*o**3 - o
Collect the terms in -8 + 2*n + 117*n**2 - 2*n + 7.
117*n**2 - 1
Collect the terms in -18*a**2 + 8*a**3 - 46*a**2 + 64*a**2.
8*a**3
Collect the terms in 2*a**3 - 1132 + 1132.
2*a**3
Collect the terms in -166*f**2 - 9*f + 9*f.
-166*f**2
Collect the terms in b**2 + 2*b**2 - 2*b**2.
b**2
Collect the terms in 8*j + 5*j - 18*j + j.
-4*j
Collect the terms in -107*r + 62*r + 45*r + 5*r**3.
5*r**3
Collect the terms in 2*x**3 - x**3 + 8*x**3 - 2*x**3.
7*x**3
Collect the terms in -2 + 2 + 5874*o.
5874*o
Collect the terms in -177*n**3 - 180*n**3 + 352*n**3.
-5*n**3
Collect the terms in -24*l**2 + 4*l - 4*l + 22*l**2.
-2*l**2
Collect the terms in -4*k**2 - 9*k**2 - 2*k**2.
-15*k**2
Collect the terms in 17*l - 17*l - 27*l**2.
-27*l**2
Collect the terms in 2*o**3 - o**3 + 0*o**3 + o**3.
2*o**3
Collect the terms in -15*r**3 - 19*r**3 + 22*r**3.
-12*r**3
Collect the terms in -1013*o + 4*o**2 + 1013*o.
4*o**2
Collect the terms in -36 - 25 + 61 + 3*i**2.
3*i**2
Collect the terms in 6*g + 101 + 7*g - 101.
13*g
Collect the terms in 5*g**3 + 5*g - 5*g.
5*g**3
Collect the terms in -113 - 99 + k - 123.
k - 335
Collect the terms in 4 - 4 + 13*r**2 - 3*r**2.
10*r**2
Collect the terms in 0 - 93*g**3 - 4 + 5.
-93*g**3 + 1
Collect the terms in 156*p + 9*p**3 - 156*p - 17*p**3.
-8*p**3
Collect the terms in -18*i - 2 + 2.
-18*i
Collect the terms in -5 + 118*s + 5 - 119*s.
-s
Collect the terms in -4*d**3 - 2*d**3 - 4 - 1.
-6*d**3 - 5
Collect the terms in 19*v**3 - 9 + 9 - 14*v**3.
5*v**3
Collect the terms in -9 + 16 + 24 - m.
-m + 31
Collect the terms in 0*y**3 + 15 - 3*y**3 - 19 + 11.
-3*y**3 + 7
Collect the terms in -49 - 377*g + 30 + 376*g + 19.
-g
Collect the terms in 4*g**3 - g**3 - 3*g**3 + 3*g**3 + 34.
3*g**3 + 34
Collect the terms in 6*h**2 + 52 - 52.
6*h**2
Collect the terms in -88 + 126 + 93 - 32*n.
-32*n + 131
Collect the terms in -55*z**2 - 48*z**2 + 123*z**2.
20*z**2
Collect the terms in -458*j - 455*j + 916*j.
3*j
Collect the terms in -1029*h**2 + 1029*h**2 + h**3.
h**3
Collect the terms in 2*n + 68 - 68.
2*n
Collect the terms in -47 - 14 + f + 262.
f + 201
Collect the terms in 0*c**3 + 3*c**3 + 59*c**3 - | {
"pile_set_name": "DM Mathematics"
} |
+ 1081*n**2. Find o, given that d(o) = 0.
-21, 3
Let y(n) be the second derivative of -27*n - 2 + 1/2*n**3 - 1/24*n**4 + 7/4*n**2. Let y(s) = 0. What is s?
-1, 7
Suppose -5*o + 5 = 2*v, v + 0*o - 5 = -5*o. Suppose -49*w = -66*w + 218*w - 603. Factor -2/3*t**2 - 4/9*t**w + v*t + 2/9*t**4 + 0.
2*t**2*(t - 3)*(t + 1)/9
Let h be (-13)/(52/(-20)) + 2962/(-592). Let y = h - -2371/888. Factor 13/3*t**3 + y - 2*t**2 + 5/3*t**4 - 20/3*t.
(t - 1)*(t + 2)**2*(5*t - 2)/3
Let g(n) be the third derivative of -2/15*n**7 - 4/15*n**5 + 3*n**2 + 0*n + 0*n**3 + 0*n**4 + 5 - 8/15*n**6. Suppose g(s) = 0. Calculate s.
-2, -2/7, 0
Let p(t) = 2*t - 23. Let i be p(15). Suppose -3 = n - i. Find j, given that 260*j + 96*j**2 + j**4 + 232 + 16*j**3 - n*j + 24 = 0.
-4
Let o(l) = -189*l - 376. Let w be o(-2). Let j(g) be the first derivative of -22 - 2/3*g**3 + 2/15*g**5 + 16/3*g**w + 8*g - g**4. Factor j(h).
2*(h - 6)*(h - 2)*(h + 1)**2/3
Suppose 3/7*m**3 + 144 - 261/7*m**2 + 744/7*m = 0. What is m?
-1, 4, 84
What is d in 12*d**4 - 83/2*d + 1/2*d**5 - 30 + 41*d**3 + 18*d**2 = 0?
-20, -3, -1, 1
Let v be 9/(-2)*(-28)/42. Factor -v*l**3 + 7*l - 12 - 4*l**3 - 9*l + 9*l**3 + 12*l**2.
2*(l - 1)*(l + 1)*(l + 6)
Let m(h) be the second derivative of -h**5/5 + 133*h**4/3 + 2*h**3/3 - 266*h**2 - 10*h - 133. Factor m(g).
-4*(g - 133)*(g - 1)*(g + 1)
Let s(x) be the second derivative of -1/110*x**5 + 5/11*x**3 - 127*x + 7/33*x**4 + 0 + 0*x**2. Factor s(u).
-2*u*(u - 15)*(u + 1)/11
Factor 694 + 256*w - 400 + 396*w**2 - 486.
4*(9*w - 4)*(11*w + 12)
Let f be (6/45)/(3 - (-135)/(-47)) + 3/(-27). Let s = -1119 - -5613/5. Factor 2/15*g**4 - s*g + 6/5*g**2 - 36/5 + f*g**3.
2*(g - 2)*(g + 3)**3/15
Let b(h) be the second derivative of 1/42*h**7 + 0*h**2 - 1/20*h**5 - 3*h + 0*h**3 + 17 + 1/4*h**4 - 1/10*h**6. Factor b(i).
i**2*(i - 3)*(i - 1)*(i + 1)
Let x(s) = -4*s**2 - 25*s + 5. Let o(j) = 4*j**2 + 26*j - 6. Suppose k + 6 = 3. Let q be (-7)/14*k*(-8)/2. Let a(m) = q*x(m) - 5*o(m). Factor a(t).
4*t*(t + 5)
Let b(r) = 3*r**2 + 2*r - 5. Let w(j) = -8*j**2 - j + 9. Suppose 65*h + 160 = 33*h. Let d(n) = h*b(n) - 2*w(n). Factor d(t).
(t - 7)*(t - 1)
Let u(w) be the first derivative of 26*w**5/5 - 187*w**4/5 + 1022*w**3/15 - 226*w**2/5 + 48*w/5 + 589. Determine q, given that u(q) = 0.
2/13, 3/5, 1, 4
Determine s so that -34567*s**2 + 45*s + 17283*s**2 + 17286*s**2 + 33 - 401 + 135*s = 0.
-92, 2
Let k be (-387 - -378) + 18/2. Let c(p) be the first derivative of 23 + 0*p**2 + k*p + 10/3*p**3 + 5/4*p**4. Factor c(s).
5*s**2*(s + 2)
Let k(p) be the first derivative of -p**5/180 - 2*p**4/27 - 19*p**3/54 - 2*p**2/3 - 144*p - 57. Let s(u) be the first derivative of k(u). Factor s(y).
-(y + 1)*(y + 3)*(y + 4)/9
Let l(n) be the first derivative of -n**4/21 + 8*n**3/7 - 22*n**2/7 - 58*n - 25. Let q(i) be the first derivative of l(i). Factor q(s).
-4*(s - 11)*(s - 1)/7
Suppose -140 = 58*k - 72*k. Factor k - 7 - 3 - 8*a**2 - a**3 - 16*a.
-a*(a + 4)**2
Let q = -400 + 404. Factor 145*r**q + 6*r**2 - 6*r**2 - 4*r**5 - 185*r**4.
-4*r**4*(r + 10)
Let t = 2154 + -2149. Suppose 4*g - 61*s - 5 = -62*s, t = s. What is z in -4/7*z**2 - 20/7*z + g = 0?
-5, 0
Let j(y) be the second derivative of y**4/6 - 499*y**3/3 - 16*y + 41. Suppose j(c) = 0. Calculate c.
0, 499
Let 672*s**2 - 5760*s + 86*s**3 + 14*s**4 - 12*s**4 + 681 - 681 = 0. Calculate s.
-24, 0, 5
Factor -18*r**4 + 286*r**3 + 3*r**5 - 930*r**2 - 48*r**4 - 507*r**2 + 960*r + 209*r**3 + 45*r**2.
3*r*(r - 8)**2*(r - 5)*(r - 1)
Let g be (-2)/10*525/168*144/(-180). Factor -g - 1/4*i**2 + 3/4*i.
-(i - 2)*(i - 1)/4
Let p = -5238 - -5242. Let k(i) be the second derivative of -5/6*i**p - 5/4*i**3 - 14*i + 0 + 0*i**2 - 1/8*i**5. Factor k(n).
-5*n*(n + 1)*(n + 3)/2
Suppose 0*o + 0 + 26/3*o**2 + 34/3*o**3 + 8/3*o**4 = 0. What is o?
-13/4, -1, 0
Suppose 4*l + 27 = 4*t - 53, 0 = t - 5*l - 40. Let r = t - -680. Factor 695 - r + 10*d + 15*d**2 + 5*d**3.
5*d*(d + 1)*(d + 2)
Let r(o) be the third derivative of o**6/30 - 72*o**5/5 - 145*o**4/2 - 436*o**3/3 - 651*o**2. Determine n, given that r(n) = 0.
-1, 218
Let t(n) be the third derivative of -125*n**7/168 - 4385*n**6/96 - 7667*n**5/80 - 1735*n**4/96 - 17*n**3/12 + 4*n**2 + 995*n. Solve t(x) = 0.
-34, -1, -1/25
Let p(l) be the third derivative of l**6/600 + 14*l**5/75 + 145*l**4/24 - 841*l**3/15 + 47*l**2 - 1. Factor p(r).
(r - 2)*(r + 29)**2/5
Let k = -239131 + 239133. Solve -34/11*o - 54/11*o**k + 12/11 - 8/11*o**3 = 0 for o.
-6, -1, 1/4
Let i(p) be the first derivative of p**6/57 + 16*p**5/95 + 1272. Factor i(n).
2*n**4*(n + 8)/19
Let i(q) be the second derivative of -q**5/10 + 8*q**4/3 - 43*q**3/3 - 60*q**2 - 847*q. Factor i(u).
-2*(u - 12)*(u - 5)*(u + 1)
Let k(q) be the first derivative of 2*q**3/9 + 911*q**2/3 - 608*q - 6604. Factor k(b).
2*(b - 1)*(b + 912)/3
Let o(r) be the first derivative of 3*r**2 + 4/5*r**5 + 14/3*r**3 - 38 + 2/3*r + 19/6*r**4. Solve o(w) = 0.
-1, -1/6
Determine w, given that 3389 - 2*w**2 + 3383 - 2*w**2 - 6772 + 3348*w = 0.
0, 837
Let c(j) be the second derivative of -20/3*j**3 + 30*j**2 + 5/12*j**4 - 2 - 4*j. What is f in c(f) = 0?
2, 6
Let g be (((-64)/176)/1)/(-21*4/66). Factor 71874/7 - 6534/7*x - g*x**3 + 198/7*x**2.
-2*(x - 33)**3/7
Let w be 30160/(-203) + 0/2. Let d = -148 - w. Factor 0*a - d + 3/7*a**2 - 1/7*a**3.
-(a - 2)**2*(a + 1)/7
Let x = 5884/11 - 41023/77. Factor -9/7 - x*f + 24/7*f**2.
3*(f - 1)*(8*f + 3)/7
Suppose -16 - 190/11*q**3 - 2/11*q**5 - 436/11*q**2 - 36/11*q**4 - 456/11*q = 0. Calculate q.
-11, -2, -1
Factor -163/5 + 4/5*x**2 - 651/5*x.
(x - 163)*(4*x + 1)/5
Let b(l) be the first derivative of -126 + 1/3*l**3 + 42*l - 23/2*l**2. Factor b(t).
(t - 21)*(t - 2)
Let h(r) be the second derivative of -r**7/210 + r**6/30 + 2*r**3/3 + 4*r**2 + 69*r. Let f(p) be the second derivative of h(p). Factor f(x).
-4*x**2*(x - 3)
Let q(o) be the second derivative of 150*o + 0 + 8/15*o**3 - 1/30*o**4 - 12/5*o**2. Factor q(f).
-2*(f - 6)*(f - 2)/5
Let x(w) = -33*w - 326. Let d be x(-10). Find m, given that 5*m**4 - 8*m**3 + 0*m**4 - 1526 - m**d + 4*m**5 + 1526 = 0.
-2, 0, 1
Let a(l) be the first derivative of l**7/56 + l**6/40 - 3*l**5/80 - l**4/16 + 86*l - 4. Let j(w) be the first derivative of a(w). Factor j(n).
3*n**2*(n - 1)*(n + 1)**2/4
Let o(m) be the first derivative of -2/15*m**6 + 6*m**2 + 143 + 16/25*m**5 - 112/15*m**3 + 0*m + 2*m**4. What is h in o(h) = 0?
-3, 0, 1, 5
Factor 6144 - 3*l**4 - 2544*l**2 - 90*l**3 + 2433*l + 1992*l**2 - 129*l.
-3*(l - 4)*(l + 2)*(l + 16)**2
Factor -21/4*z**3 + 0 - 19/4*z - 1/4*z**4 - 39/4*z**2.
-z*(z + 1)**2*(z + 19)/4
Let a(o) be the third derivative of -o**7/252 - 7*o**6/144 - o**5/8 - o**4/4 + 3*o**2 - 2*o. Let c(k) be the second derivative of a(k). Factor c(h).
-5*(h + 3)*(2*h + 1)
Let u(d) be the second derivative of -d**7/14 - 11*d**6/10 - 51*d**5/20 + 11*d**4/4 + 9*d**3 - 12080*d. Determine r, given that u(r) = 0.
-9, -2, -1, 0, 1
Suppose -25 = 5*s, 0*q = -q + 5*s + 72. Let m = 49 - q. Let -69*p**2 + 2 + 0*p - m*p**5 + 4*p**3 - 2*p + 2*p**4 + 65*p**2 = 0. Calculate p.
-1, 1
Let f(k) be the second derivative of 0*k**3 - 7/18*k**4 + 0 + 1/30*k**5 - 33*k + 0*k**2. Let f(w) = 0. Calculate w.
0, 7
Let x(q) be the first derivative of q**4/6 + 16*q**3/9 - 3842. Determine t so that x(t) = 0.
-8, 0
Let y(p) be the third derivative of 8/3*p**3 - 3 - 1/90*p**5 + 0*p - 5/36*p**4 + 5*p**2. Factor y(a).
-2*(a - 3)*(a + 8)/3
Let q(c) be the first derivative of -2059*c**2 + 1884*c**2 + 115*c + 89 + 5*c**3 + 123. Factor q(l).
5*(l - 23)*(3*l - 1)
Let q be -8 + 9 + (-1212)/(-132) + -10. Let -2/11*r**4 + 0*r**2 + q*r**3 + 0 + 0*r = 0. Calculate r.
0, 1
Let i(z) be the third derivative of 1/240*z**5 - 11*z - 1/96*z**4 + 0 - 1/4*z**3 + 3*z**2. Suppose i(l) = 0. What is l?
-2, 3
Let t(c) be the first derivative of -c**3/3 - 407*c**2 - 165649*c - 1427. Suppose t(m) = 0. What is m?
-407
Suppose 0 = 2*a + 2. Let u = 3 + a. Determine m so that 5*m + 287*m**u + m + 9*m**3 - 302*m**2 = 0.
0, 2/3, 1
Let u = 167576/3 + -55816. Factor 0 + 2/9*p**4 - 1024/9*p + u*p**2 - 16/3*p**3.
2*p*(p - 8)**3/9
Let c(v) be the second derivative of -1/36*v**4 - 54*v**2 - 2 - 21*v + 2*v**3. Find k such that c(k) = 0.
18
Let m(x) be the second derivative of -3*x - 7/12*x**5 + 6*x**3 + 1/72* | {
"pile_set_name": "DM Mathematics"
} |
pose k + 12 = 4*f - 0*k, 0 = 5*k. Let h(t) = -5*t + 4*t - f*t. Let i(g) = 2*g - g + 0*g. What is h(i(n))?
-4*n
Let r(b) = 181*b. Let l(q) = -2*q**2. Calculate r(l(s)).
-362*s**2
Suppose -h + 4 = 0, h + 2*h = -4*t - 12. Let l(s) = -14*s**2 - 17. Let g(n) = 5*n**2 + 6. Let c(f) = t*l(f) - 17*g(f). Let a(y) = -y. Determine c(a(b)).
-b**2
Let a(f) be the second derivative of f**4/6 - 12*f. Let y(j) = 31*j. Give y(a(w)).
62*w**2
Let o(m) = -109*m**2. Let z(q) = -3*q**2. Determine z(o(d)).
-35643*d**4
Suppose -11 = 2*v + 3*z, 3*v - 19 - 7 = 4*z. Let m(t) = 0*t**2 + t**v + 0*t**2. Let c(l) = 3*l. Give m(c(a)).
9*a**2
Let v(c) = -3*c**2. Let t(j) = j**2 - 70. Give t(v(a)).
9*a**4 - 70
Let q(j) = j - 1. Let n(b) = 3*b**2 - 3*b + 3. Let f(g) = -n(g) - 3*q(g). Let c(o) be the second derivative of o**3/3 - o. Give c(f(w)).
-6*w**2
Let v(y) = -6*y + 8. Let q(p) = 2*p - 3. Let x(z) = 8*q(z) + 3*v(z). Let u(g) = -2*g**2. Calculate u(x(r)).
-8*r**2
Let x(s) be the first derivative of 0*s - 1/3*s**3 - 10 + 0*s**2. Let i(j) = 3*j. Give x(i(n)).
-9*n**2
Let f(d) = -d. Suppose 0 = -4*k + 6 + 10. Let w(s) = 10 + 3*s**2 - 10 - k*s**2. What is w(f(l))?
-l**2
Let b(l) = -626*l**2. Let r(c) = -c. Calculate b(r(y)).
-626*y**2
Let b(z) = -49*z. Let o(p) be the first derivative of p**2/2 + 15. What is b(o(j))?
-49*j
Let g(p) be the first derivative of 0*p - 2/3*p**3 + 0*p**2 - 3. Let q(u) = 2*u**2 - 2*u**2 - 3*u**2. Determine g(q(y)).
-18*y**4
Let n(b) = 7*b. Let y(m) = 13*m**2. Let x(k) = k**2. Let o(g) = 22*x(g) - 2*y(g). Give n(o(c)).
-28*c**2
Let l(x) = -6*x**2. Let u(q) be the third derivative of -q**4/3 - 26*q**2. Determine l(u(n)).
-384*n**2
Let d(q) = 2*q**2. Let s(b) = -2*b**2 - 4*b. Let h(u) = -2*u**2 - 5*u. Let r(o) = 4*h(o) - 5*s(o). Calculate d(r(t)).
8*t**4
Let h(z) = 3*z**2. Let a(t) = 4*t - 49. What is a(h(g))?
12*g**2 - 49
Let l(q) = -q. Let y(t) = -t**2 + 3 - 3 + 2*t**2. Determine l(y(u)).
-u**2
Let q(u) be the third derivative of -u**5/60 + 7*u**2. Let z(l) = 20*l. Determine z(q(t)).
-20*t**2
Let i(g) = g**2. Let j = -4 - 8. Let f be (-1)/(-3) + 4/j. Let v(t) = t - 2*t + f*t. Calculate i(v(o)).
o**2
Let u(j) be the first derivative of 0*j**2 + 0*j - 1/3*j**3 - 2. Let r(i) = -5*i. Give r(u(k)).
5*k**2
Let p(y) = -4*y. Let z(x) = -19*x + 28. What is z(p(d))?
76*d + 28
Let u(v) = -63*v. Let y(q) = 45*q**2 - 2. Determine u(y(k)).
-2835*k**2 + 126
Let h(m) be the first derivative of -m**2 + 29. Let z(u) = -20*u. What is h(z(w))?
40*w
Let l(p) = 3*p**2. Let c(s) = 87*s**2. Give c(l(i)).
783*i**4
Let q(l) = 8*l. Let j(v) be the second derivative of -v**4/12 + 7*v. Determine q(j(b)).
-8*b**2
Let y(b) = -2*b**2 - 195 + 195 + 3*b**2. Let r(g) = -20*g**2. Determine r(y(x)).
-20*x**4
Let x(l) = -l**2 + 6*l - 5. Let i be x(4). Let g(f) be the second derivative of f**i + 2*f + 0*f**3 + 2*f - f. Let c(t) = -t. Determine c(g(p)).
-6*p
Let r be 8/3*15/20. Let l(w) = -4*w**r + 6*w**2 + 3 - 3. Let t(j) = -3*j. What is t(l(d))?
-6*d**2
Let v(j) = -j**2. Let l(q) = 10*q + 7. Let m(t) = -3*t - 2. Let b(o) = 2*l(o) + 7*m(o). What is b(v(c))?
c**2
Let s(i) = 2*i. Let v(y) = -220*y. What is v(s(a))?
-440*a
Let z(o) be the third derivative of -o**5/30 - 24*o**2. Let a(b) = 19*b + 1. Determine a(z(x)).
-38*x**2 + 1
Let y(i) = -4*i + 3. Let m(z) = -7*z + 5. Let l(f) = -3*m(f) + 5*y(f). Let s(t) be the third derivative of -t**4/12 - 2*t**2. Determine s(l(j)).
-2*j
Let g(m) = 12818*m. Let a(p) = -p. Determine g(a(n)).
-12818*n
Let c(v) = -2*v**2. Let p(s) = 0 + 8*s**2 + 0. Give p(c(d)).
32*d**4
Let r(b) = -3*b**2 - 3*b. Let s(x) = -2*x**2. Determine s(r(c)).
-18*c**4 - 36*c**3 - 18*c**2
Let r(l) = -12*l. Let o(x) = 14*x**2. Let s(z) = 9*z**2. Let h(t) = -5*o(t) + 8*s(t). Determine h(r(g)).
288*g**2
Let u(q) = -3*q**2 - 5*q**2 - 1 + 1. Let i(r) = 2*r**2 - 6 + 6. Calculate u(i(g)).
-32*g**4
Let l(s) = 4*s**2 - 14*s. Let v(x) = -128*x + 2. Calculate l(v(h)).
65536*h**2 - 256*h - 12
Let p(n) = 3*n**2 - 13*n**2 + 9*n**2. Let v(c) = -11*c. Calculate v(p(a)).
11*a**2
Let u(y) be the first derivative of -3/2*y**2 + 0*y - 3. Let i(l) = 4*l. Give i(u(c)).
-12*c
Let u(c) = -2*c. Let x(w) = -174*w**2. Determine u(x(m)).
348*m**2
Let m(o) = -134*o**2. Let t(k) = 2*k**2. Calculate t(m(f)).
35912*f**4
Let k(u) be the second derivative of 0 + 0*u**3 - 1/12*u**4 + 0*u**2 + 9*u. Let a(m) = -4*m. What is k(a(v))?
-16*v**2
Let b(h) = 2799*h - 9*h**2 - 2799*h. Let x(k) = 2*k**2. Give x(b(l)).
162*l**4
Let t(q) = q. Let c(l) be the second derivative of 3*l + 0*l**2 + 0*l**3 + 1/4*l**4 + 0. Give t(c(f)).
3*f**2
Let i = -3 - -6. Suppose i*n - 5 = -2*n. Let d(o) = 3*o**2 - 3. Let l(f) = 1. Let s(q) = n*d(q) + 3*l(q). Let p(b) = 2*b. Determine p(s(y)).
6*y**2
Let z(f) be the third derivative of f**5/40 + f**3/3 + 2*f**2. Let p(i) be the first derivative of z(i). Let v(t) = 3*t. Determine v(p(a)).
9*a
Let d(p) = -4*p**2 - 13*p + 13. Let g(k) = 2*k**2 + 6*k - 6. Let n(c) = -6*d(c) - 13*g(c). Let b(h) = 16*h**2. Give b(n(s)).
64*s**4
Let f(v) = 10*v. Let h(y) = y**2 - 3*y - 3. Let l(s) = s**2 - 2*s - 2. Let c(x) = 2*h(x) - 3*l(x). Give c(f(o)).
-100*o**2
Let u(s) = -11*s - 5. Let w(f) = 2*f + 1. Let r(q) = u(q) + 5*w(q). Let i(n) = 0*n - 6*n - 6*n. Determine r(i(g)).
12*g
Let l(u) = 3*u**2 - 3*u. Let a(g) = -6*g**2 + 5*g. Let p = 9 + -12. Let w(d) = p*a(d) - 5*l(d). Let h(c) = -3*c. Determine h(w(n)).
-9*n**2
Let b(t) = 2*t. Let r(p) be the third derivative of p**5/60 - p**3/6 - 2*p**2. Let h(g) be the first derivative of r(g). Determine b(h(s)).
4*s
Let s(f) = f - 2. Let n be s(4). Let r(c) = -n*c - c + 7*c. Let x(p) be the first derivative of -p**3/3 + 22. Give r(x(y)).
-4*y**2
Let r(u) = -2*u**2. Let f(d) = -50 - 6*d**2 + 50. Calculate r(f(b)).
-72*b**4
Let y(u) = 21*u**2. Let l(j) = -57*j. Give l(y(d)).
-1197*d**2
Let c be -1*((-6)/(-3) + -2). Let r(k) = c + 3*k + 0. Let j(a) = 10*a**2 + 7*a. Let s(u) = -3*u**2 - 2*u. Let z(o) = 2*j(o) + 7*s(o). Determine z(r(g)).
-9*g**2
Let t(w) = 1. Let j(a) = 2 - 2 + 4 + a**2. Let s(l) = -j(l) + 4*t(l). Let y(z) = -z**2. Let q(m) = -8*m**2. Let u(r) = -q(r) + 4*y(r). Determine u(s(c)).
4*c**4
Let x(a) be the second derivative of -a**5/20 - 5*a**2/2 - 2*a. Let c(g) be the first derivative of x(g). Let s(j) = -2*j**2. Give s(c(b)).
-18*b**4
Let j(q) = -13*q + 11. Let b(h) = 6 - 15*h + 5*h + 3*h. Let f(t) = -11*b(t) + 6*j(t). Let y(o) = -2*o**2. What is y(f(n))?
-2*n**2
Let r(f) be the third derivative of -f**5/60 - f**2. Let p(j) = -5 + 5 + j. What is p(r(y))?
-y**2
Suppose 25 = 5*h - 5*x, -x + 1 = 3*h + 6. Let q = h - -2. Let w(v) = -4*v**2 - q*v**2 - v**2 + 4*v**2. Let r(m) = m**2. What is r(w(c))?
9*c**4
Let j(u) be the third derivative of -u**5/10 + 5*u**4/12 - 15*u**2. Let q(i) = i. Give q(j(v)).
-6*v**2 + 10*v
Let z(x) be the third derivative of -17*x**5/60 + 66*x**2. Let l(t) be the third derivative of -t**5/60 + 2*t**2. Determine z(l(a)).
-17*a**4
Let y(b) = 7043 - 7043 - b. Let k(c) = -39*c**2. Give y(k(f)).
39*f**2
Let p(z) = 0 + z**2 - 2*z**2 + 0. Let y(l) = 3*l**2 + 2*l + 2. Let k(r) = -r**2 - r - 1. Let g(j) = 4*k(j) + 2*y(j). Give p(g(s)).
-4*s**4
Let z(o) = 7*o**2. Let x(v) = -20*v**2 + 17*v. Let p(b) be the third derivative of 7*b**5/60 - b**4/4 - 6*b**2. Let n(w) = 17*p(w) + 6*x(w). Give z(n(s)).
7*s**4
Let c(t) = t. Let b(y) = -3*y + 3. Let p(x) = -x**2 + 4*x - 4. Let l(i) = i**3 - 4*i**2 + 4*i + 1. Let r be l(3). Let h(k) = r*b(k) + 3*p(k). Give h(c(g)).
-3*g**2
Let f(l) = 3*l. Let t(h) = 0*h - 2*h - 2*h. What is t(f(v))?
-12*v
Let j = 1 - -1. Let x(y) = j - y - 1 - 1. Let a(c) be the third derivative of -c**4/24 + c**2. Calculate x(a(p)).
p
Let z(y) = -5*y. Let q(t) = -2*t + 5*t - 3*t - 2*t. Determine z(q(p)).
10*p
Let j(n) = -n + 2. Suppose 0 = -4*c + v - 8, -2*c - 5*v - 4 = -3*v. Let d be j(c). Let t(o) = -o + 2*o + d*o - 3*o. Let i(u) = -3*u**2. What is i(t(p))?
-12*p**2
Let n(l) = l**2. Let x = 4 + -4. Let s(d) be the second derivative of 0 + 0*d**3 + x*d**2 + 2*d - 1/4*d**4. Give n(s(j)).
9*j**4
Let p(a) = a**2. Let h(v) be the third derivative of -3*v**4/4 - 9*v**2. Determine h(p(o)).
-18*o**2
Let m(p) = -p. Let s(i) be the third derivative of i**4/8 + 2*i**2. Let u be s(1). Let g(z) = z**2 + 3*z - u*z + z**2. What is g(m(k))?
2*k**2
Let g( | {
"pile_set_name": "DM Mathematics"
} |
78.
13
Let j = -786 + 519. Let v = 90 - j. Suppose -2*o = -9*o + v. What is the highest common divisor of 17 and o?
17
Let t(i) = 639*i + 1042. Let z be t(2). What is the greatest common divisor of 16 and z?
16
Let r = 104 - 30. Suppose -2*s + 55 = j, -r = -4*s + 2*j + 40. Suppose -4032 = -3*t - 13*t. What is the highest common factor of s and t?
28
Let a(w) = 42*w - 2323. Let q be a(56). Calculate the greatest common factor of q and 89.
1
Let a = -11647 - -16402. Calculate the greatest common divisor of a and 60.
15
Let t be 522/6 + -5 + (-14 - -12). Calculate the highest common divisor of 12560 and t.
80
Let p(g) = -3*g + 13. Let y(h) = h + 2. Let b(x) = p(x) - 2*y(x). Let v be b(0). Let z be 6/(-15) + 724/10. What is the greatest common factor of v and z?
9
Let i be 872/(-1526) + (0 - (-642)/21). What is the greatest common factor of 366 and i?
6
Suppose a = 2*a - 133. Let d be 276/60 + 8/20 + 14. Calculate the greatest common divisor of a and d.
19
Suppose 2*z + 2*o = 272, z + 0*z = -4*o + 142. Suppose 4*p - 59*r + 57*r - z = 0, -1 = r. Calculate the highest common divisor of 528 and p.
33
Let y = 91 + -87. Let d(s) = 5*s**2 - 15*s + 8. Let f be d(y). What is the highest common factor of f and 154?
14
Let y be -8 - 308/(1 + -8). Let u(z) = 7*z + 55. Let q be u(-7). Calculate the greatest common divisor of y and q.
6
Let p = 0 - -5. Let s(v) be the first derivative of 2*v**3/3 - 4*v**2 - 9*v + 7. Let x be s(6). What is the greatest common divisor of x and p?
5
Let m(c) = -100*c + 6795. Let q be m(60). Calculate the greatest common factor of q and 6095.
265
Let g = -6821 - -6823. Calculate the greatest common factor of 8462 and g.
2
Let i = 48 - 12. Let b(y) = y**3 + 11*y**2 + 16*y - 9. Suppose -60 = u - 51. Let d be b(u). What is the highest common divisor of d and i?
9
Let y = -88 + 93. Suppose -10*t + y*t + 176 = -3*z, -10 = 5*z. Calculate the highest common divisor of 170 and t.
34
Let y be 11 - 1/2*-4. Suppose -15*r + 10*r + 3*p + y = 0, -r = -2*p - 4. Calculate the highest common factor of r and 18.
2
Let i be 4558876/3864 - (2/(-6) - (-4)/24). What is the highest common divisor of 260 and i?
20
Suppose -5*y = -20, j - 4*y - 27 = 51. Suppose m + 0 = 1, -j = -f + m. Calculate the greatest common factor of f and 57.
19
Suppose 3*f = -4*q + 10, 5*q - 12 = -17*f + 13*f. Let k be 164 - (8 + q)/(-3). Calculate the highest common factor of k and 42.
42
Suppose 0 = 1280*w - 1270*w - 600. Calculate the greatest common divisor of 1360 and w.
20
Let l = 184 + -91. Let r(s) = s**3 - 64*s**2 + 3*s - 37. Let u be r(64). Calculate the highest common divisor of u and l.
31
Suppose -4*q = -3*q + h - 2479, 0 = 3*h - 12. Calculate the highest common divisor of 11 and q.
11
Suppose 321*g = 279*g + 10752. What is the highest common factor of g and 100?
4
Let s(g) = -g**3 - 5*g**2 - 17. Let i be s(-7). Let m be 29853/i + (2 - 28/18). Calculate the highest common divisor of m and 18.
9
Suppose -4*d - 5*x = -1179, -d = -4*x - x - 301. Let j be (-5)/(25/(-30)) - (4 + -6). Calculate the highest common divisor of j and d.
8
Let p = 388 + -372. Suppose 27*a - 418 = p*a. What is the greatest common factor of a and 38?
38
Let f be 146*5*3/(-8)*(-42 + 6). Calculate the highest common divisor of 135 and f.
135
Let r = 5266 + -5146. Calculate the highest common factor of r and 456.
24
Suppose 0 = 8*k - 4*k + 3*q - 639, -3*k + 4*q = -448. Let z = k + -152. Calculate the highest common factor of z and 3.
1
Suppose -2*o = -3*z + 150, 2*z + o = 2*o + 100. Calculate the greatest common factor of 4050 and z.
50
Let m(y) = -19*y + 372. Let x be m(18). What is the greatest common factor of x and 5970?
30
Let y(t) = 3*t**3 + 10*t**2 - 4*t**3 - 4*t - 67 - 16*t - 22*t**2 + 0*t**3. Let s be y(-11). Calculate the highest common factor of s and 72.
8
Let t be ((-14)/6 + 1)*(-11)/(-33)*-45. Calculate the highest common divisor of t and 1780.
20
Let c = 829 + -843. Let p be (151 - 144)*(-104)/c. Let s be 1 + 14 + -1 - 1. Calculate the highest common factor of p and s.
13
Suppose 0 = 204*d - 8*d - 97020. Calculate the greatest common divisor of 3069 and d.
99
Let d be (-996)/(-83)*((-3)/(-2))/((-15)/(-55)). Calculate the highest common divisor of d and 1562.
22
Suppose -19*y + o + 737 = -16*y, -3*o - 1227 = -5*y. What is the greatest common factor of 2337 and y?
123
Let a be (-86)/(-8) - (-9)/(-12). Suppose a = 23*u - 634. What is the greatest common divisor of u and 112?
28
Suppose -2*v - 2*v + 1106 = -630. Calculate the highest common factor of 651 and v.
217
Suppose 1046941 = 109*j - 349183 - 128895. What is the greatest common factor of j and 34?
17
Let i(a) = -43*a + 334. Let f(t) = -129*t + 1003. Let q(g) = -2*f(g) + 7*i(g). Let u be q(-34). What is the greatest common divisor of 26 and u?
26
Let u = -36051 + 38886. What is the greatest common divisor of 441 and u?
63
Let m = -17054 + 17134. Calculate the highest common divisor of 20 and m.
20
Suppose -x = -5*o + 49, 0 = x + x + 8. Let i(j) = 4*j - 18. Let u be i(o). Let m = 8 - 2. What is the greatest common divisor of u and m?
6
Let d = -285 + 355. Suppose -3*w = -5*b - 52, -5*b = 4*w - 9*w + d. Calculate the highest common factor of w and 288.
9
Suppose 0 = -2*m, 0 = 5*x - 2*m - 16 + 6. Let h(z) = -6 + 6*z**x - 16*z + z**3 + 5 + 11. Let j be h(-8). Calculate the greatest common factor of j and 80.
10
Suppose -2296*g + 2326*g - 234600 = 0. What is the highest common divisor of g and 102?
34
Suppose -2513 - 14218 = -39*g. What is the highest common divisor of g and 77?
11
Let f = 34270 + -34243. Calculate the highest common divisor of 576 and f.
9
Suppose 0 = -269*w + 276*w + 28. Let r be (-6 - 60/(-9))*(-6)/w. What is the greatest common factor of r and 3?
1
Let c be 24/(-9 - -1) - (-7 - 311). Calculate the highest common divisor of c and 135.
45
Let m(s) = 80*s - 380. Let t(g) = -26*g + 127. Let r(y) = 4*m(y) + 11*t(y). Let v be r(6). What is the greatest common divisor of 9 and v?
9
Let n = 13667 + -5660. Calculate the highest common factor of 51 and n.
51
Let d be (48 - 36)*21*2. What is the highest common factor of 9 and d?
9
Let k = -99 - -104. Suppose k*w = -7*w + 7488. Calculate the greatest common factor of w and 96.
48
Let z = 51 + -34. Suppose -20 = 5*f, -5*l + 0*f + z = 2*f. Suppose l*g + 5*w - 635 = 0, -5*w - 1 = -6. What is the highest common factor of 14 and g?
14
Suppose 12*b - 7*b = 175. Let z = -22 + b. Let q(l) = 55*l - 6. Let g be q(2). What is the greatest common factor of z and g?
13
Suppose 3*b = 29 + 1. Let l be 2754/30 + 2/b. Suppose 0 = 2*h + 3*t - 40, h + 2*t - 29 = 5*t. Calculate the highest common factor of h and l.
23
Let r be (-5 + 0 + 286/39)*3. Suppose r*b = 38*b - 1519. Calculate the highest common divisor of 245 and b.
49
Let a = -23748 - -23818. Calculate the greatest common factor of 10 and a.
10
Suppose 0 = 3*y - 17 + 5. Suppose -y*q + 101 = 2*z - 9*q, -z + 4*q + 46 = 0. What is the highest common divisor of 522 and z?
58
Let g = -28422 - -65682. Calculate the highest common factor of g and 230.
230
Let q(f) = -2*f**2 + 3*f + 22. Let u be q(5). Let b = u - -40. Let l be ((-18)/4 + 0)*-4. Calculate the highest common divisor of b and l.
9
Suppose 2*g = 16*g - 840. Let v be (-8)/6*(-102)/(-2). Let k be (-4)/34 + 64/v*-32. What is the highest common divisor of g and k?
30
Let r be (-18)/(-24) + (-6)/8 - 6. Let s = -1 + r. Let n(o) = -5*o + 5. Let t be n(s). What is the greatest common factor of t and 8?
8
Let k = 10489 + -8754. What is the highest common divisor of k and 5?
5
Suppose 5*f + 680 - 1080 = -0*f. Suppose 19*v = 21*v - 192. What is the highest common factor of f and v?
16
Let z be (60*1)/(42/63). Suppose -4*c = 3*h - 404 - 250, 5*h = -2*c + 320. Calculate the greatest common divisor of z and c.
15
Let j(c) = 2*c**3 + 5*c**2 + 3*c + 1. Let u be j(-2). Let x be (0 - (-7)/2)/(u/(-4)). What is the highest common divisor of 4 and x?
2
Let h be 5 - 1815/(1 + -4). Let l be (-15 + 11 + 3)*-10*1. What is the highest common factor of l and h?
10
Let n(s) = -6*s - 11. Let r be n(-16). Let t = -68 + r. Let h = 20 - t. What is the greatest common divisor of 15 and h?
3
Let x be (-15)/5 + 3459/3. Suppose -4*i - 1150 = -5*s, 0*s + 5*s - i = x. Calculate the greatest common divisor of 50 and s | {
"pile_set_name": "DM Mathematics"
} |
s are there in one quarter of a litre?
250
What is 3.962442 kilometers in millimeters?
3962442
How many litres are there in 80.66817ml?
0.08066817
What is twenty-five quarters of a litre in millilitres?
6250
Convert 276.6608 millilitres to litres.
0.2766608
How many millilitres are there in five eighths of a litre?
625
How many millennia are there in 44.20421 decades?
0.4420421
How many milligrams are there in 42/5 of a gram?
8400
What is five eighths of a tonne in kilograms?
625
How many hours are there in one sixth of a day?
4
Convert 909.5151m to kilometers.
0.9095151
How many grams are there in 2/125 of a tonne?
16000
What is 7/4 of a millennium in months?
21000
What is 0.840837 months in centuries?
0.0007006975
Convert 470518.1 millilitres to litres.
470.5181
How many millilitres are there in twenty-five quarters of a litre?
6250
How many millennia are there in 1466.7024 months?
0.1222252
How many kilograms are there in three fifths of a tonne?
600
How many nanograms are there in 362254.7kg?
362254700000000000
What is 654945.1 days in seconds?
56587256640
What is twenty-nine halves of a millisecond in microseconds?
14500
Convert 0.9507848 micrometers to kilometers.
0.0000000009507848
How many kilograms are there in 17/2 of a tonne?
8500
Convert 5.165009 litres to millilitres.
5165.009
How many micrometers are there in thirteen quarters of a centimeter?
32500
Convert 64021.2ug to grams.
0.0640212
How many hours are there in 38/7 of a week?
912
What is two fifteenths of a century in months?
160
Convert 12.41447m to millimeters.
12414.47
How many millilitres are there in six fifths of a litre?
1200
Convert 348.1303 centimeters to kilometers.
0.003481303
What is 27.19778 milliseconds in seconds?
0.02719778
How many micrograms are there in 346.9801kg?
346980100000
Convert 628.9378km to nanometers.
628937800000000
Convert 439078.4ug to kilograms.
0.0004390784
What is three eighths of a litre in millilitres?
375
How many micrometers are there in 1/4 of a centimeter?
2500
Convert 38.13937mm to centimeters.
3.813937
How many days are there in 8383.9743 minutes?
5.822204375
How many months are there in 657.8893 centuries?
789467.16
What is 11/10 of a micrometer in nanometers?
1100
What is four fifteenths of a decade in months?
32
What is 7/2 of a milligram in micrograms?
3500
How many nanograms are there in 14.12238 micrograms?
14122.38
How many millilitres are there in 6/5 of a litre?
1200
What is 7/4 of a week in hours?
294
What is six fifths of a meter in centimeters?
120
Convert 76.22694mg to micrograms.
76226.94
What is fourty-five quarters of a litre in millilitres?
11250
How many micrometers are there in 354.4358 millimeters?
354435.8
Convert 92089.69 days to microseconds.
7956549216000000
Convert 9568.79 days to weeks.
1366.97
What is 27/4 of a micrometer in nanometers?
6750
What is three fifths of a gram in milligrams?
600
How many millilitres are there in 17/2 of a litre?
8500
Convert 127.6779861ns to weeks.
0.00000000000021110778125
What is three eighths of a centimeter in micrometers?
3750
Convert 52.84331ml to litres.
0.05284331
What is 29483.66 minutes in seconds?
1769019.6
Convert 338.0312t to micrograms.
338031200000000
How many micrometers are there in 15/4 of a centimeter?
37500
How many months are there in 26241.91 decades?
3149029.2
What is thirteen quarters of a tonne in kilograms?
3250
What is 29439.19ml in litres?
29.43919
What is 3/8 of a litre in millilitres?
375
What is 2/7 of a week in hours?
48
How many minutes are there in 4.651771 weeks?
46889.85168
Convert 151952.2 grams to milligrams.
151952200
How many millilitres are there in 80818.69 litres?
80818690
What is 3/5 of a millimeter in micrometers?
600
What is 3/5 of a hour in minutes?
36
What is 0.2119022m in centimeters?
21.19022
Convert 0.6044261um to meters.
0.0000006044261
How many meters are there in 43/2 of a kilometer?
21500
What is 874.5028 nanograms in tonnes?
0.0000000000008745028
What is 1/5 of a hour in seconds?
720
What is 396156.9 micrometers in nanometers?
396156900
Convert 640118.5 micrograms to grams.
0.6401185
What is 92.10412ml in litres?
0.09210412
Convert 19120.74 millilitres to litres.
19.12074
How many months are there in three tenths of a decade?
36
How many millilitres are there in three eighths of a litre?
375
What is 4325.029 nanometers in micrometers?
4.325029
What is 5/4 of a millennium in months?
15000
Convert 0.2686299 nanometers to meters.
0.0000000002686299
How many centimeters are there in three sixteenths of a kilometer?
18750
How many millilitres are there in 0.3412249l?
341.2249
What is 145105.5nm in meters?
0.0001451055
What is one tenth of a millisecond in nanoseconds?
100000
What is 7/4 of a millisecond in microseconds?
1750
How many hours are there in sixteen sevenths of a week?
384
How many grams are there in 693378.6ug?
0.6933786
How many nanoseconds are there in 0.54102 weeks?
327208896000000
What is 5/8 of a week in hours?
105
How many millilitres are there in sixty-seven quarters of a litre?
16750
How many milligrams are there in seventy-five quarters of a gram?
18750
How many micrometers are there in 6/25 of a millimeter?
240
How many decades are there in six fifths of a century?
12
What is 999.2973 meters in kilometers?
0.9992973
What is 1/10 of a tonne in kilograms?
100
Convert 2.307168ml to litres.
0.002307168
Convert 0.7770304 micrometers to centimeters.
0.00007770304
How many days are there in 6.29151 weeks?
44.04057
How many nanoseconds are there in fourty-five quarters of a microsecond?
11250
What is 2118.397 centuries in millennia?
211.8397
What is eleven eighths of a century in months?
1650
What is thirty-one fifths of a gram in milligrams?
6200
What is twenty-one quarters of a microgram in nanograms?
5250
Convert 70.00853 centuries to decades.
700.0853
What is thirty-four fifths of a millennium in years?
6800
What is 2/45 of a week in seconds?
26880
What is fifty-five quarters of a gram in milligrams?
13750
How many micrometers are there in one quarter of a millimeter?
250
What is 3/10 of a meter in centimeters?
30
Convert 0.1180048 nanometers to centimeters.
0.00000001180048
Convert 9320.559t to grams.
9320559000
How many milliseconds are there in 0.5268864us?
0.0005268864
What is thirteen fifths of a gram in milligrams?
2600
What is 0.1130096ng in micrograms?
0.0001130096
What is 9/10 of a meter in centimeters?
90
What is 0.4014121 litres in millilitres?
401.4121
Convert 50.27861 millilitres to litres.
0.05027861
How many millilitres are there in sixty-four fifths of a litre?
12800
Convert 2181.865 centuries to millennia.
218.1865
How many millimeters are there in 77/2 of a meter?
38500
How many millilitres are there in 8/25 of a litre?
320
How many litres are there in 923.3112 millilitres?
0.9233112
What is 1/20 of a litre in millilitres?
50
How many months are there in 46249.42 years?
554993.04
How many grams are there in thirty-one fifths of a kilogram?
6200
How many kilometers are there in 8.027788um?
0.000000008027788
How many hours are there in 11/4 of a day?
66
Convert 7.240748 days to microseconds.
625600627200
What is 23/7 of a week in minutes?
33120
What is one quarter of a day in minutes?
360
What is three eighths of a litre in millilitres?
375
How many millilitres are there in 3/5 of a litre?
600
How many micrograms are there in 45/8 of a milligram?
5625
How many seconds are there in one twentieth of a week?
30240
How many nanograms are there in fourty-nine quarters of a microgram?
12250
What is 0.672967 hours in nanoseconds?
2422681200000
How many nanometers are there in 225.6056 micrometers?
225605.6
Convert 62880.795us to hours.
0.0000174668875
How many nanometers are there in 47/4 of a micrometer?
11750
Convert 65.8111 centuries to years.
6581.11
How many microseconds are there in three eighths of a millisecond?
375
How many minutes are there in 1/4 of a day?
360
How many minutes are there in thirteen fifths of a hour?
156
What is 29/2 of a second in milliseconds?
14500
Convert 49336.26 years to decades.
4933.626
How many milligrams are there in 0.5570937t?
557093700
How many millimeters are there in three tenths of a centimeter?
3
Convert 125857.5 millimeters to centimeters.
12585.75
How | {
"pile_set_name": "DM Mathematics"
} |
48347*a. What is w(j(k))?
48193388*k
Let g(a) = -2*a. Let n(i) = 105*i - 21. Let y(j) = 52*j - 9. Let p(z) = 3*n(z) - 7*y(z). Give g(p(c)).
98*c
Let t(h) = -2*h**2 + 465600*h - 7. Let m(y) = -22*y. Calculate t(m(o)).
-968*o**2 - 10243200*o - 7
Let g(u) = -80*u. Let w(x) = -8870*x + 8870*x + 24*x**2 - 13*x**2 + 31*x**2. Give w(g(b)).
268800*b**2
Let z(a) be the second derivative of -8*a**3/3 - 2*a - 35. Let h be 1 - 1 - -1 - -66. Let l(d) = 2*d**2 + 67*d - h*d. Determine l(z(i)).
512*i**2
Let w be ((-16)/(-12))/(5/15). Let s(l) = -w*l - 22 + 22 + 6*l. Let y(f) = 4*f. Give y(s(q)).
8*q
Let l(g) = -4*g**2. Let k(a) = -68*a. Let j(r) be the first derivative of -5*r**2/2 + 240. Let b(h) = -34*j(h) + 2*k(h). Determine b(l(m)).
-136*m**2
Let f(n) = 1405*n**2 - 145. Let k(t) = -3*t + 3. Calculate k(f(q)).
-4215*q**2 + 438
Let n(w) = 689*w. Let a(r) = -16*r - 17. What is a(n(y))?
-11024*y - 17
Let q(r) = -r - 9. Let v(w) be the first derivative of -3*w**2/2 + 147. Let h(l) = 10*l. Let a(m) = -2*h(m) - 7*v(m). Calculate a(q(u)).
-u - 9
Let w(f) be the first derivative of -9*f**2/2 + 1635. Let i(y) = 123*y**2. Give i(w(s)).
9963*s**2
Let r(t) = 7*t**2. Let v(n) be the first derivative of -19*n**3/3 + 12*n - 13433. Calculate v(r(h)).
-931*h**4 + 12
Let a(o) = o**2. Let k(c) = -6612840*c. What is k(a(n))?
-6612840*n**2
Let q(c) = c**2 - 3*c**2 - 2*c**2. Let s(d) be the first derivative of -143 - 2/3*d**3 + 0*d + 0*d**2. What is q(s(v))?
-16*v**4
Let k(w) = -1500*w. Let j(s) = -565*s. Let g(q) = -8*j(q) + 3*k(q). Let p(i) = 296*i**2. What is p(g(o))?
118400*o**2
Let u(p) be the third derivative of 5*p**4/8 - 25*p**2 - 5. Let v(l) = -26*l**2. Give u(v(c)).
-390*c**2
Let u(z) be the second derivative of -z**5/2 + z**3/3 - 70*z**2 - z - 26. Let b(g) be the first derivative of u(g). Let f(j) = 5*j. Calculate b(f(s)).
-750*s**2 + 2
Let x(m) be the third derivative of -7*m**6/360 - 2*m**4 - 137*m**2. Let y(g) be the second derivative of x(g). Let i(h) = -19*h**2. Calculate y(i(l)).
266*l**2
Let u(p) be the third derivative of -37*p**6/180 - p**4/2 + 5*p**3/6 + 174*p**2. Let v(j) be the second derivative of u(j). Let i(r) = r. What is v(i(t))?
-148*t
Let z(r) = r - 8. Let c(l) = 2483243*l. Determine c(z(i)).
2483243*i - 19865944
Let m(g) be the first derivative of 5*g**3/3 - 104. Let l(h) = -2*h + 2*h - h - h. Calculate m(l(v)).
20*v**2
Let s(m) be the first derivative of 1202*m**2 + 2556. Let w(r) = r**2. Determine s(w(y)).
2404*y**2
Let d(t) = -15*t**2. Let s(c) be the third derivative of c**4/6 - 3*c**2 + 12. Let l(q) = 38*q. Let i(o) = l(o) - 3*s(o). Calculate d(i(y)).
-10140*y**2
Let d(g) = -5*g**2. Let c be (-49)/(-63) - (-4)/18. Let f(s) = -1383*s + 1 - c + 1396*s. Calculate d(f(z)).
-845*z**2
Let r(j) = 2*j**2. Let l(i) = -63916836*i. Calculate l(r(m)).
-127833672*m**2
Let i(r) = r - 33. Let z(k) = -103434*k. Calculate i(z(n)).
-103434*n - 33
Let s(q) = -q**2 + 1050. Let t(c) = -62*c + 16. Let u(v) = 8*v - 2. Let y(b) = t(b) + 8*u(b). Give y(s(f)).
-2*f**2 + 2100
Let z(l) = -102*l**2 + 51*l. Let m(t) = -t**2 + t. Suppose -14*q = -9*q - 5. Let f(a) = q*z(a) - 51*m(a). Let p(k) = 3*k**2. Give f(p(y)).
-459*y**4
Let v(f) = 61*f**2. Let z(t) = 3*t + 21*t - 5*t - 4*t - 10*t. Give v(z(m)).
1525*m**2
Let c(b) be the third derivative of -b**5/12 + 21*b**2. Let w(x) = -11*x. Let a(y) = -9*y. Let d(u) = 5*a(u) - 6*w(u). What is c(d(t))?
-2205*t**2
Let a(b) = -12*b - 200. Let j(h) = -h - 20. Let c(z) = a(z) - 10*j(z). Let r(u) = -11*u + 14. Give r(c(l)).
22*l + 14
Let i(m) = -7*m**2. Let s = 54 - 46. Let h(x) = -4 - 10*x**2 - s*x**2 + 4. Determine i(h(w)).
-2268*w**4
Let q(t) = t - 16. Let c(o) be the first derivative of 3*o**2 - 17*o - 7746. Give q(c(p)).
6*p - 33
Let i(s) = 3 - 2*s**2 - 14 + 38 - 27. Let x(r) = 808*r**2. Give x(i(g)).
3232*g**4
Let y(q) = -249*q. Let i(z) = -5*z + 18. Let b(o) be the second derivative of -o**3/6 + 3*o**2 + 136*o. Let c(k) = 3*b(k) - i(k). Give y(c(s)).
-498*s
Let g(j) be the first derivative of -j**3/3 + 7865. Let x(c) = c**2 + c + 1. Let i(n) = -10*n**2 + 5*n + 1. Let r(u) = -i(u) + 5*x(u). What is g(r(d))?
-225*d**4 - 120*d**2 - 16
Let i(d) = 2*d**2. Let p(b) = 7*b - 3. Let l(j) = -4*j + 2. Let u(t) = 8*l(t) + 5*p(t). Let y(v) = -9*v - 26. Let z(c) = -4*u(c) - y(c). What is z(i(r))?
-6*r**2 + 22
Let h(j) = -7*j**2 - 6*j + 6. Let w(r) = -5*r**2 + 19*r**2 + 13*r - 16 + 3. Let q(z) = -13*h(z) - 6*w(z). Let a(f) = 351*f - 182*f - 174*f. Calculate a(q(o)).
-35*o**2
Let t(r) = -1188868*r**2. Let y(j) = -10*j**2. What is t(y(g))?
-118886800*g**4
Let q(x) = -x**2 + 344*x. Let u(l) be the first derivative of l**5/60 + 47*l**2/2 + 61. Let p(y) be the second derivative of u(y). Give q(p(v)).
-v**4 + 344*v**2
Let k(x) = -x**2 - 9*x - 198. Let s(l) be the first derivative of -l**3 + 5997. What is k(s(n))?
-9*n**4 + 27*n**2 - 198
Let r(p) = 3*p - 80112. Let s(j) = 116*j**2. Calculate r(s(b)).
348*b**2 - 80112
Let o(m) = 206*m**2 - 423*m**2 + 204*m**2. Let v(t) = 12*t**2. Calculate o(v(p)).
-1872*p**4
Let w(n) = 1101*n**2. Let z(p) = 874*p. Calculate z(w(x)).
962274*x**2
Let q(w) be the second derivative of 0 + 3*w + 1/3*w**3 + 0*w**2. Let z(y) be the second derivative of -23*y**4/12 + 1226*y - 1. Determine q(z(t)).
-46*t**2
Let b(d) = 43*d**2. Let w(n) = -60080*n. Give w(b(j)).
-2583440*j**2
Let z(i) = -7*i. Let x(b) = -6*b. Let a(h) = -6*x(h) + 5*z(h). Let g(o) be the second derivative of 13 - 13 - 4*o**3 + 8*o**3 + 17*o. Calculate a(g(l)).
24*l
Let j(u) = 73*u - 5. Let g(m) = -2*m**2 - 24*m - 3. Let l(c) = 4*c**2 + 56*c + 7. Let p(w) = 7*g(w) + 3*l(w). Determine p(j(f)).
-10658*f**2 + 1460*f - 50
Let t = -38 - -45. Let l(c) = -14 - 6*c + 7 + t. Let r(n) = 2*n. What is l(r(i))?
-12*i
Let i(y) = 53*y**2. Let u(g) be the first derivative of 8*g**3/3 + 920. Calculate u(i(l)).
22472*l**4
Let y(p) = 80*p - 29. Let i(b) be the second derivative of -20*b**3/3 + 13*b**2/2 - 100*b. Let l(x) = -9*i(x) - 4*y(x). Let g(j) = -2*j**2. What is l(g(q))?
-80*q**2 - 1
Let h(s) = -7*s. Let l(j) = -j**2 - 40*j + 1. Let p(o) = -41*o**2 - 680*o + 18. Let a(g) = -34*l(g) + 2*p(g). What is a(h(u))?
-2352*u**2 + 2
Let z(b) = 335*b. Let p(r) be the first derivative of -r**6/360 - 2*r**3/3 - 59*r + 106. Let k(l) be the third derivative of p(l). Determine k(z(j)).
-112225*j**2
Let s(n) = -30810813*n. Let c(p) = -6*p**2. Give s(c(m)).
184864878*m**2
Let q(o) = -12 - 2*o**2 + 6 + 6. Let v(z) be the first derivative of -7*z**4/24 + 9*z**2/2 + 31. Let d(l) be the second derivative of v(l). What is d(q(r))?
14*r**2
Let d(l) be the second derivative of -152*l + 0*l**2 + 0 + 5/6*l**3. Let n(q) = -7*q + q + 2*q. Calculate d(n(i)).
-20*i
Let l = -526 + 551. Let j(y) = y + 4 - l*y + 13*y - 4. Let a(g) = -17*g**2. Determine a(j(t)).
-2057*t**2
Let f(u) = -3930 + 3930 - 2*u. Let g(w) = 162*w + 2. Calculate g(f(h)).
-324*h + 2
Let s(d) = -3*d. Let i(y) = -264160*y**2. Calculate i(s(l)).
-2377440*l**2
Let g(h) = -2*h. Let u(s) be the second derivative of -30*s + 0 + 0*s**3 + 0*s**2 + 79/12*s**4. What is u(g(r))?
316*r**2
Let p = 16 + -31. Let b be 9/5 + 2/10. Let z(l) = 3*l. Let j(u) = 21*u. Let g(n) = b*j(n) + p*z(n). Let m(d) = -3*d. Calculate g(m(y)).
9*y
Let b(f) = 28*f**2. Let k(n) be the second derivative of n**3/2 + 9*n**2 + 112*n + 20. Calculate k(b(o)).
84*o**2 + 18
Let d(a) = 4*a**2. Let x(t) = 512*t - 5118. Let i be x(10). Let r(l) be the third derivative of 0*l**3 + 0 + 0*l - 1/12*l**4 - 16*l**i. Calculate d(r(g)).
16*g**2
Let m(k) = 42*k**2 - 42823*k + 2. Let w(l) = 2*l**2. Determine m(w(a)).
168*a**4 - 85646*a**2 + 2
Let r(k) = -5979*k. Let m(y) = -44*y**2 - 242*y + 46*y**2 + 242*y. What is r(m(i))?
-11958*i**2
Let m(s) be the second derivative of -s**3/6 - s. Let v(b) = b**3 + 36*b**2 + 21*b - 191. Let x be v(-35). Let w(u) = 307 - 3*u + x - 606. Calculate m(w(z)).
3*z
Let f(k) be the second derivative of k**3/3 - 2*k - 517. Let r(a) = -1343*a**2. What is r(f(l))?
-5372*l**2
Let l(r) be the second derivative of -r**3/6 - 3619*r. Let t(f) = -4050*f. What is l(t(d))?
4050*d
Let b(c) = -7*c. Let q(p) be the third derivative of p**4/12 + p**3/2 + 77*p**2 - p. Determine q(b(a)).
-14*a + 3
Let w(s) = 67*s**2. Let o = 15 - 13. Suppose 4*g - 44 = 2*g + 2*q, 5*q - 9 = -o*g | {
"pile_set_name": "DM Mathematics"
} |
king 2 q?
1/12
Two letters picked without replacement from {g: 4, z: 3, h: 4}. What is prob of picking 1 g and 1 z?
12/55
Calculate prob of picking 1 m and 2 t when three letters picked without replacement from wtwmwtwhwttttt.
3/52
Calculate prob of picking 1 d and 1 l when two letters picked without replacement from fffylyqyhhhfydy.
1/105
Four letters picked without replacement from {u: 2, o: 1, m: 8, i: 6, x: 1, r: 2}. What is prob of picking 1 m, 1 r, 1 x, and 1 i?
32/1615
Three letters picked without replacement from {g: 4, v: 1, u: 4, r: 1, b: 3, x: 1}. Give prob of picking 1 r and 2 u.
3/182
Two letters picked without replacement from {s: 3, i: 1, r: 2, d: 6, v: 1, p: 2}. Give prob of picking 1 p and 1 s.
2/35
Calculate prob of picking 1 a and 1 f when two letters picked without replacement from fgffffgfgagffgfff.
11/136
What is prob of picking 1 u and 1 g when two letters picked without replacement from {d: 6, n: 7, u: 2, w: 1, g: 2, i: 1}?
4/171
What is prob of picking 2 q when two letters picked without replacement from qqqqqfqqqqqqqqq?
13/15
Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {v: 1, d: 2, o: 1, l: 1, h: 1, s: 1}.
1/21
Three letters picked without replacement from {r: 1, x: 1, i: 2, a: 2, u: 2}. Give prob of picking 1 x and 2 i.
1/56
Two letters picked without replacement from {c: 2, v: 2, d: 1, i: 1}. What is prob of picking 1 v and 1 d?
2/15
Calculate prob of picking 2 k and 1 c when three letters picked without replacement from kxqhkkcihxhihkqxi.
3/340
Calculate prob of picking 1 r and 1 i when two letters picked without replacement from rrraarefrffri.
1/13
What is prob of picking 1 j and 2 s when three letters picked without replacement from {f: 5, j: 1, o: 3, s: 1, i: 2}?
0
What is prob of picking 1 a and 1 p when two letters picked without replacement from {t: 3, v: 6, p: 1, a: 2, w: 3, g: 4}?
2/171
What is prob of picking 1 w and 1 i when two letters picked without replacement from nbniw?
1/10
Three letters picked without replacement from hxcchxhhhxhh. What is prob of picking 2 c and 1 h?
7/220
Two letters picked without replacement from bexbueuebbe. What is prob of picking 1 u and 1 x?
2/55
What is prob of picking 1 r, 2 c, and 1 g when four letters picked without replacement from grxrrrcgrcrr?
14/495
Calculate prob of picking 2 w and 1 f when three letters picked without replacement from {x: 1, f: 2, e: 1, w: 6, u: 7}.
3/68
Two letters picked without replacement from rorrnrryonrnnynyr. Give prob of picking 1 n and 1 r.
35/136
Calculate prob of picking 4 s when four letters picked without replacement from sesssemmms.
1/42
Three letters picked without replacement from {l: 2, c: 1, a: 1, o: 2, p: 1, k: 1}. Give prob of picking 1 k, 1 o, and 1 a.
1/28
Two letters picked without replacement from {r: 5, o: 3, p: 2, k: 5, q: 1}. Give prob of picking 1 q and 1 o.
1/40
Two letters picked without replacement from {g: 4, y: 6, a: 3, d: 1}. Give prob of picking 2 g.
6/91
Calculate prob of picking 1 f and 1 r when two letters picked without replacement from {r: 2, e: 1, g: 1, l: 1, f: 1, c: 2}.
1/14
Four letters picked without replacement from ozozoooooooo. Give prob of picking 4 o.
14/33
Calculate prob of picking 1 q and 3 z when four letters picked without replacement from azqsszzszsqzzzzas.
4/85
Two letters picked without replacement from zooll. Give prob of picking 1 z and 1 o.
1/5
What is prob of picking 2 c when two letters picked without replacement from xcxcxpc?
1/7
Two letters picked without replacement from jssgosgos. What is prob of picking 1 g and 1 j?
1/18
Four letters picked without replacement from {y: 2, j: 6}. Give prob of picking 4 j.
3/14
What is prob of picking 1 h, 1 e, and 1 r when three letters picked without replacement from {e: 1, r: 1, h: 2}?
1/2
Calculate prob of picking 1 v and 2 z when three letters picked without replacement from {z: 4, u: 3, v: 9}.
27/280
Two letters picked without replacement from aaaataaa. What is prob of picking 2 a?
3/4
What is prob of picking 2 u when two letters picked without replacement from uzzzuzs?
1/21
What is prob of picking 3 p and 1 n when four letters picked without replacement from {p: 4, n: 6, w: 2, s: 3}?
8/455
Two letters picked without replacement from {g: 2, a: 1}. What is prob of picking 2 g?
1/3
Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, a: 2, g: 2, s: 4}.
1/45
Three letters picked without replacement from {j: 1, p: 1, q: 2, h: 4, n: 2}. Give prob of picking 1 n, 1 p, and 1 j.
1/60
Three letters picked without replacement from xxwvwql. What is prob of picking 1 x, 1 l, and 1 w?
4/35
Three letters picked without replacement from ggggxgggxgg. What is prob of picking 1 x and 2 g?
24/55
Two letters picked without replacement from {o: 5, z: 7}. Give prob of picking 1 o and 1 z.
35/66
Three letters picked without replacement from {u: 2, m: 11, x: 5, s: 2}. Give prob of picking 1 x and 2 u.
1/228
Three letters picked without replacement from hohgwhgzzoozzh. Give prob of picking 3 o.
1/364
What is prob of picking 2 l when two letters picked without replacement from lllffffffllf?
5/33
What is prob of picking 1 i and 1 u when two letters picked without replacement from {h: 1, f: 3, p: 2, u: 3, i: 1}?
1/15
What is prob of picking 1 w and 3 y when four letters picked without replacement from yqqqyqywyqqyyqqyyqw?
28/969
Calculate prob of picking 3 k and 1 g when four letters picked without replacement from grrrrkk.
0
What is prob of picking 2 u and 1 q when three letters picked without replacement from {u: 2, q: 18}?
3/190
Two letters picked without replacement from {g: 3}. What is prob of picking 2 g?
1
What is prob of picking 2 s when two letters picked without replacement from {s: 2, z: 1, b: 1}?
1/6
What is prob of picking 1 u and 1 t when two letters picked without replacement from teuluekutu?
8/45
What is prob of picking 4 h when four letters picked without replacement from hhhhh?
1
Two letters picked without replacement from snssnnnnnsntnss. What is prob of picking 1 n and 1 t?
8/105
Three letters picked without replacement from shaahasasaaha. What is prob of picking 1 a and 2 h?
21/286
Two letters picked without replacement from {v: 1, n: 4, j: 5}. What is prob of picking 2 v?
0
What is prob of picking 2 w and 2 k when four letters picked without replacement from kkkkkwkkkkkwkkkwkk?
7/68
Three letters picked without replacement from {m: 5, o: 2, n: 6}. Give prob of picking 3 m.
5/143
Four letters picked without replacement from ooosb. Give prob of picking 1 b and 3 o.
1/5
What is prob of picking 2 w when two letters picked without replacement from ddwsswssswdwdsvw?
1/12
Calculate prob of picking 2 i when two letters picked without replacement from {g: 8, i: 3}.
3/55
Four letters picked without replacement from {l: 4, o: 10, f: 2}. Give prob of picking 4 o.
3/26
Calculate prob of picking 1 d, 1 y, 1 n, and 1 s when four letters picked without replacement from {y: 3, n: 5, s: 1, d: 4}.
12/143
Three letters picked without replacement from qqiqiqi. What is prob of picking 3 i?
1/35
Calculate prob of picking 1 t and 2 c when three letters picked without replacement from {t: 3, l: 5, q: 2, c: 2, o: 3}.
3/455
Calculate prob of picking 1 m, 1 g, and 2 p when four letters picked without replacement from ppgpgppgggpppmggggp.
27/323
Calculate prob of picking 1 w and 1 x when two letters picked without replacement from bwx.
1/3
Two letters picked without replacement from ctuucucetcyy. What is prob of picking 2 t?
1/66
What is prob of picking 1 c, 1 f, and 1 v when three letters picked without replacement from vmcmvmcmiifvccvc?
1/28
Four letters picked without replacement from bbttbtvvdbbbttvtv. What is prob of picking 1 v and 3 b?
4/119
Two letters picked without replacement from {k: 1, d: 2}. Give prob of picking 1 d and 1 k.
2/3
Calculate prob of picking 2 j when two letters picked without replacement from {t: 9, j: 2}.
1/55
Two letters picked without replacement from ssskksssssss. What is prob of picking 2 s?
15/22
Calculate prob of picking 1 s and 2 l when three letters picked without replacement from {a: 2, e: 1, s: 1, l: 4}.
3/28
What is prob of picking 2 t and 2 b when four letter | {
"pile_set_name": "DM Mathematics"
} |
= -g**2 + 5*g + 16. Let z be (-17)/(-2) + ((-345)/30 - -10). What is y(z)?
2
Let c be 143/99 - ((-22)/(-9) - 2). Let q(y) = 3*y + 0 - 10*y + 1. Calculate q(c).
-6
Let j(t) be the second derivative of 5*t - 3/2*t**3 + 0 + t**2 - 1/12*t**4. Let w(b) be the first derivative of j(b). What is w(-6)?
3
Let i be (17 + -8 - 8) + 3. Let o(d) = d**3 - 6*d**2 + 4*d - 3. Give o(i).
-19
Suppose -3 = -4*d + 5*z + 6, 1 = -z. Suppose -d = c + 1. Let k(r) = r**2 - r. Let s(y) = -2*y**3 + 2*y**2 - 6*y - 1. Let g(u) = 5*k(u) - s(u). Determine g(c).
-5
Let r(y) = -y**3 - 1. Let m(j) = 2*j**3 + 6*j**2 - 2*j + 12. Suppose 24 = x + 27. Let h(k) = x*r(k) - m(k). Suppose -2*c = -20 + 8. Determine h(c).
3
Let c(d) = -d**3 - 3*d**2 - 2*d - 3. Let x be c(-3). Let v = -1 + x. Let z(q) = q**2 - 4*q - 5 - 2 + 4 - v*q**2. Calculate z(-2).
1
Let q(i) = -i - 2. Let s(d) = -d. Let z(n) = q(n) - 2*s(n). Let o be (-6)/27 + (-32)/18. What is z(o)?
-4
Suppose 5*a + 29 = 4*o, -4*o + a = -8*o - 1. Let v(x) = -19*x**3 + x - 1. Give v(o).
-19
Let b(w) = w - 3. Let l = 9 + -9. Let t(k) = k**2 - 12. Let z be t(l). Let f = -12 - z. What is b(f)?
-3
Let k = -93 + 90. Let n(b) = -b**2 + 4*b + 3. Determine n(k).
-18
Let l(h) = 0*h + 6*h + 0 + 2 + h. Give l(6).
44
Let j(h) = 14 + 47*h + 2*h**3 - 5 - 3*h**3 + 15 - 71*h + 24*h**2. Give j(23).
1
Let c(i) be the second derivative of i**4/12 + 11*i**3/6 + 3*i**2/2 - 46*i. What is c(-11)?
3
Let y(m) = 3*m**2 - m - 3*m**2 + 3*m**2 + 1 - 4*m**2. Let u = -363 - -367. Give y(u).
-19
Let x(t) be the second derivative of -t**8/1344 - t**7/630 - t**6/360 + t**5/120 - 9*t**4/4 - 33*t. Let f(d) be the third derivative of x(d). Determine f(-2).
29
Let k(x) be the second derivative of x**4/2 + x**3/3 + x**2/2 + 145*x - 2. Suppose 0 = l + 2 - 0. Let f be (-16)/12 + l/(-6). What is k(f)?
5
Let f(u) = -14 - 15 + 10 + 2*u. Determine f(11).
3
Suppose -3*t = -r - 15, 12 = -r - 3*t + 27. Let b(o) = -o**2 + 2*o - 3. Determine b(r).
-3
Let x(b) = -b**3 - 5*b**2 + 6*b - 2. Let p = 60 - 58. Suppose 0 = -3*c + c + 8. Suppose 5*t - p*h = -24, c*t = -2*h + h - 27. Calculate x(t).
-2
Suppose -5*s + 9 = -6. Suppose -s*r = -0*r - 3. Let d(p) = 1 - 7 + 6 + p + r. Determine d(1).
2
Let j = -14 - -17. Let l be (-1)/(1/7) + j. Let b(n) = n + 6. Calculate b(l).
2
Suppose 19*n + 111*n + 130 = 0. Let b(m) be the first derivative of -12*m**2 - 2. Give b(n).
24
Let a(h) = 2*h**2 - 11*h - 3. Let l be 1*(1 - (7 - 14)). Calculate a(l).
37
Let r(k) = -5*k + 45. Let y(a) = 3*a - 23. Let g(n) = 4*r(n) + 7*y(n). Calculate g(0).
19
Let d(q) = 12*q**3 - q. Suppose 27*m = 31*m. Suppose -5*v + 2*p + p + 1 = m, 0 = v - 3*p - 5. Give d(v).
-11
Let g(n) be the second derivative of -n**6/360 + n**5/120 + 5*n**4/24 - 3*n**3 + 7*n. Let y(z) be the second derivative of g(z). Determine y(4).
-7
Let n(p) = 20*p + 5. Let r(f) = -57*f - 17. Let g(w) = -11*n(w) - 4*r(w). Give g(-2).
-3
Let a(s) = 2*s**2 + s - 2. Let i be a(-2). Suppose 39 = -4*y - 3*k - 44, i*k + 57 = -3*y. Let r = y - -18. Let l(j) = j**2 + 3*j + 1. What is l(r)?
11
Let c(h) be the first derivative of -2*h**5/15 + h**4/24 - 7*h**3 - 13. Let u(b) be the third derivative of c(b). What is u(-1)?
17
Let b(u) = -u**3 - 8*u**2 - 7*u + 3. Let x be b(-7). Suppose 2*l = 15 - x. Let a(r) = -r**2 + 3*r + 7. What is a(l)?
-11
Let k be (-2)/8 - 135/(-60). Suppose k*p = -0*p - 10. Let l(y) = -y + 2*y - 4 - y**2 + 2*y**2 + y. Give l(p).
11
Let c(p) be the first derivative of -p**5/30 + p**4/12 - p**3/3 - 3*p**2 - 4. Let d(z) be the second derivative of c(z). Let x be (7 - 2)*12/30. What is d(x)?
-6
Let b be 0/3 + ((-63)/9 - -14). Let a(g) = 2*g - 3 - 4 + 3. Calculate a(b).
10
Suppose 5 - 13 = 2*o. Let h(f) = -f**3 - 6*f**2 - 4*f + 3. Calculate h(o).
-13
Suppose 5*z + 4*b - 8 = z, -3*z + b + 14 = 0. Let f be (-6)/(-21) - 4/14. Let c(g) = f*g**2 + 6*g - g**2 + 5*g - 3 - 5*g. Give c(z).
5
Let s be (-8)/10*55/(-22). Let h(q) = -16*q**2 + 2*q + 10*q**s + 2 + 5*q**2. Determine h(5).
-13
Let u(p) = -p + 5. Let z be 3/(-1) - ((-13 - 1) + 6). Determine u(z).
0
Let t = -56 - -52. Let f(b) = b**3 - 5*b. Let l(h) = h**3 - 4*h + 1. Let c(w) = t*f(w) + 5*l(w). What is c(0)?
5
Let u(t) be the first derivative of 0*t**2 + 1/8*t**4 + 1/120*t**5 - 1/180*t**6 - 6 + 0*t - 4*t**3. Let j(r) be the third derivative of u(r). What is j(3)?
-12
Let t(x) = 21*x + 1. Suppose -4*p = 2*p - 18. Let s be (0 - (p - 7/2))*2. Give t(s).
22
Let b(k) be the second derivative of -k**4/12 + k**3/6 + 2*k**2 + 79*k. Give b(3).
-2
Let j(b) = 19*b - 20*b + 20*b**3 + 0 - 1. Calculate j(-1).
-20
Suppose 3*i - 5*d = -10, -2*i = 3*i - 4*d - 5. Let u(s) be the first derivative of -1/2*s**2 + s + 2. Determine u(i).
-4
Let a(w) be the second derivative of -w**5/60 + 5*w**4/24 + 5*w**3/6 - 25*w**2/2 + 2*w - 1. Let o(f) be the first derivative of a(f). Give o(6).
-1
Let p(c) = -c**2 + 9*c. Let a(f) = -f - 3. Let z be a(-3). Suppose 4*r + 33 = 4*i - 3, i + 4*r - 9 = z. Let b be p(i). Let h(o) = -o**2 + 6. Determine h(b).
6
Suppose 0 = -0*r + 9*r + 36. Let w be (13/r + 1)*(-24)/(-9). Let h(v) be the second derivative of -v**4/12 - 5*v**3/3 - 4*v**2 - v. What is h(w)?
16
Let a(g) = -4*g - 1. Suppose 0 = 4*l - 0*l. Suppose l = -2*p - 2*s + 2, -3*p + 4*s = -p - 2. Calculate a(p).
-5
Let y(b) = -2*b + 3. Let r be (1/2)/(5/(-50)). Let w(x) = 3*x + 20. Let k be w(r). Determine y(k).
-7
Suppose -20*j + 16*j - p = -284, 5*j = -5*p + 355. Let g = 79 - j. Let y(b) be the first derivative of b**3/3 - 4*b**2 - 7*b - 1. Calculate y(g).
-7
Let n be (3 + 2 + 1)/2. Suppose n = -5*o + r - 22, -32 = 3*o - 4*r. Let d(q) be the first derivative of -q**3/3 - 3*q**2 - 2*q - 2. Determine d(o).
6
Let w(q) be the third derivative of -q**5/60 + q**4/4 - q**3/6 + 4*q**2. Let p(b) = -2*b - 16. Let h be p(-8). Suppose 5*n - 10*n + 30 = h. Give w(n).
-1
Let f(n) = -n. Let z(l) = -l - 1. Let x(c) = -f(c) - 2*z(c). Let k(b) = b**2 + 5*b + 2. Let q be k(-6). Let u = -10 + q. Give x(u).
-4
Let c(u) = 2*u + 18. Let f = 746 + -758. Determine c(f).
-6
Let u(l) = 2*l + 1. Suppose -j - 9 = -4, 47 = -3*b - j. Let w be b/1*3/6. What is u(w)?
-13
Let p(y) = -7*y**2 + 2*y - 1. Let l(f) = -f**2 + 38*f - 216. Let u be l(31). Calculate p(u).
-6
Let b(q) = -3*q + 3*q - 4*q + 4. Let s be 7*(0/(-4) + 12/14). Suppose 2*n - 26 = -5*p, -4*p - 5*n + s*n = -13. Calculate b(p).
-12
Let x(v) = -4*v**2 + 8*v - 8. Suppose 648*h = 645*h + 3. Determine x(h).
-4
Let b be (8 - 35)/(-3) + 4. Let n(v) = -v + 12. Calculate n(b).
-1
Let v(p) be the third derivative of p**5/60 - p**4/4 + 5*p**3/6 - 52*p**2. Determine v(5).
0
Let d(r) = 10*r - 4 - 12*r + 2. Let k = -132 + 135. What is d(k)?
-8
Let z(c) = -9*c**2. Let q be (-3)/(-3)*(-4 - (-3 - 0)). Determine z(q).
-9
Let p(x) = -11*x + 69 + 10*x - 66. Give p(-7).
10
Let a(t) = -2*t**3 + t**2 - 2*t + 2. Let q = -311 - -312. Give a(q).
-1
Let n(u) be the second derivative of 23*u**5/10 + u**3/6 - 36*u - 2. Calculate n(-1).
-47
Let g(j) = -2*j**2 - 14*j - 18. Let u = 804 - 810. Determine g(u).
-6
Let d(y) = y**3 + 4*y**2 - 3. Suppose 3*m + 2*w - 5 = 47, -4*w = 3*m - 56. Let b be (4 - 4)/5*(-5)/(-15). Let f be b - (-7)/((-28)/m). What is d(f)?
-3
Let u(g) be the third derivative of g**5/60 + g**4/3 + 4*g**3/3 - 15*g**2. Let x(l) = -l**2 + 8*l + 5. Let q be x(7). Suppose 3*f + 9 = -q. Determine u(f).
1
Let y be -10*(2 - (-10)/(-4)). Let q(d) = d**3 - 9*d**2 + 8*d + 2. Let m(z) = -z**3 + 8*z**2 - 7*z - 2. Let a(v) = y*q(v) + 6*m(v). Determine a(3).
-8
Let b(o) = o + 19. Let z be 55/(-4) + -1 - (-18)/(-72). Let g be b(z). Let f(w) = -2*w**2 + 5*w + 2. What is f(g)?
-10
Let d(f) = 1133 - 3403 + 2*f + 1134 + 1137. Let x = -4 - -6. What is d(x)?
5
Let t(y) = 2*y**3 - 14*y**2 + 5*y - 22. Let k be t(7). Let a(l) = -l**3 + 12*l**2 + 13*l + 2. Calculate a(k).
2
Suppose -16 = -5*y + l + 9, 0 = -2*y + 2*l + 10. Let u be (1/(-2))/(y/(-20)). Let k(d) = d**3 - 3*d**2 - d - 1. What is k(u)?
-7
Let t(o) = 105*o - 210*o + 106*o + 4 + 6. Give t(5).
15
Let p(j) = 59 - 50 - 2*j + 2*j + 2*j. Suppose 4*d + 0*d = -24. What is p(d)?
-3
Let j(t) = -7*t**3 - 38*t**3 + 46*t**3 + 3*t**2 - 1. Let k = -1 + -1. Let w be j(k). Let a(i) = -i**2 + 3*i - 4. What is a(w)?
-4
Let z(y) be the first derivative of y**4/4 - y**3 - 5*y + 1. Suppose b + 38 = 3*c, -3 | {
"pile_set_name": "DM Mathematics"
} |
for r.
-2
Suppose -6*i - 18*u + 14*u = -204, 3*u = i - 1. Solve 0 = -2*v + 5*d - i, -6*v + 9*v - 2*d = -31 for v.
-9
Let h be (-175)/(-4) + 3*(23/4 - 6). Solve 0 = 3*y - x - 32 + h, 2*y - 3*x = 2 for y.
-5
Let o be 460/207 + -3*(-2)/(-27). Solve o = -32*k + 34*k, -4*p + 15 = -k for p.
4
Suppose -30 = -15482*l + 15476*l. Suppose 88 = 3*f + 13. Solve 4*k = l*h - f, -h = k + 2*h + 2 for k.
-5
Suppose 0 = 80*i - 106*i + 78. Let m be 2*(14/4 - 2). Solve -2*w - 2 = -4*g, i*g + 2*g - 19 = -m*w for g.
2
Suppose -367 + 382 = x. Solve 2*l + 4*c = -16 + 14, -5*c + x = -l for l.
-5
Let z(x) = -6*x + 24. Let l be z(6). Let p be (2/4)/((-3)/l). Solve 0 = -5*h - 2*r + 22 - 2, 3*r = p*h - 8 for h.
4
Suppose g + 3 = 0, s + 6*g - 52 = 2*g. Suppose -76 = -5*q - 3*a, -5*q + 5*a = -s - 36. Solve 5*h - 5*v = 3 + q, -16 = -3*h - v for h.
5
Suppose 0 = 3*r + 9, -7*v - 4*r - 32 = -12*v. Solve -v*q = x + 16, -4 = 9*x - 5*x + q for x.
0
Let m be (-42)/(-6) + -1*3. Let s = -267 + 435. Suppose 14*b + s = 490. Solve -2*a - b = -5*w, 0 = -4*a - 6*w + m*w - 10 for a.
-4
Suppose i - 15 + 12 = 0. Suppose -i*d = 2*u - 249, 261 = 3*d + 3*u + 15. Let t = 85 - d. Solve 3*a = -3, s + 5*a + 7 = -t*s for s.
-2
Let r be 0 + 2/2 - -6. Suppose 21 = 7*b - r. Solve b*z - 2 = j + 1, 4*j - 4 = 0 for z.
1
Suppose 0 = -k + 8 - 5. Suppose k*h + 15 = 2*v + 2, 5 = -5*v - 5*h. Suppose -2*w = v*w + w. Solve z + w*z - 5 = -3*g, -4*z + 5*g = -3 for z.
2
Suppose 95 = -13*r + 32*r. Solve -12 = -4*q + 3*d, -r*q + d + 5 = 1 for q.
0
Suppose -d = -t + 10, 4*t - d + 0 = 25. Suppose 3*q = -5*i + 3*i + 17, -4*i + t*q + 45 = 0. Solve 2*n + i = 4*l, -4*n + 0*l = 2*l for n.
-1
Let u(w) be the first derivative of -4*w**3/3 + 73*w**2/2 - 12*w + 94. Let t be u(18). Solve -3*a + 2*v = -21, -5*v + t = -5*a + 46 for a.
5
Let k = -32 - -36. Let g = -80 + 86. Suppose -4*p = 4*s + 8, -g*s + 2 = -s - p. Solve s = 2*z - 7*z + u - 19, 4*z = -2*u - k for z.
-3
Suppose -f + 7 = 2*y, -23*f = -24*f + 5*y. Suppose -4 = 22*b - 21*b. Let p be 0*1/b*2. Solve -4*v + 8 = f*u - 5, p = -3*u - 5*v for u.
5
Suppose -y + 33 = z, 3*z + 2*y = -5 + 100. Let f = z + -7. Solve 0 = -2*q + 2*d, 4*q + d = f + 3 for q.
5
Let k = -14 + 20. Let d be (-2)/(-3)*3 - (970 + -970). Solve 4*q + d*x + 12 = 0, -3*q + q + 3*x - k = 0 for q.
-3
Let g be (-29)/58*5*-2 + 0. Suppose 3*l - y = 42, 3*l - g*y = 6*l - 42. Solve 3*f - 4*r = f - l, -4*f + 5*r = 19 for f.
-1
Suppose -4*g + 9 = d, -7 = -3*d + 2*g + 6. Suppose 20 = 11*y - 24. Suppose y*a - 45 = a. Solve -2*n + d*z - 14 = 7, -a = 2*n - 3*z for n.
-3
Let g(x) = -x**3 - 2*x**2 - 4*x - 5. Let p be g(-2). Solve 2*w - 1 = p*b, 6*b = b - 4*w - 9 for b.
-1
Suppose -14*l - 4 = -16*l. Suppose -4*v + l + 17 = -5*z, 2*v + 1 = -z. Solve -p = -3*m - v, -4*m + 3*m - 2*p = -2 for m.
0
Suppose 3*h + 3*s = 27, 0 = -101*h + 103*h + 3*s - 21. Solve 3*r = h, -9*r + 7 = -y - 4*r for y.
3
Let z = -13854 + 13858. Solve 3*r + 4 = 5*u, z*r = 5*u + 10 - 12 for r.
2
Let v(f) = 10 - 13 + 22 - 3*f. Let w be v(5). Suppose 5*x = 2*n + 25, w*n = -3*x + 5*x - 10. Solve -2*s + m + 4 + x = 0, 0 = s + 3*m - 1 for s.
4
Let o = 3109 - 3101. Let q(s) = s**2 - 9*s + 10. Let h be q(7). Let y = h - -8. Solve y*b - 4 = 2*z, -2*z - 3 - o = 3*b for z.
-4
Let a(o) = o**2 + o - 2. Let b be a(8). Let j be 1232/b + (-4)/(-10). Suppose -9*l + 12*l = j. Solve -l*x = 5*r - 2*x + 6, -2*r - 4*x - 12 = 0 for r.
2
Let d(c) be the third derivative of c**6/120 + 2*c**5/15 - 19*c**4/24 + 5*c**3/2 + 103*c**2. Let s be d(-10). Solve p + 1 = -t, p = t + t + s for p.
1
Let b be (1179/262)/(6/8). Solve -5*q - u + b = 0, -u - 2*u = 5*q - 8 for q.
1
Suppose 0 = 3*v + k - 71, 0 = v - 2*k - 16 - 10. Let y be -1 - (-3)/(18/v). Solve 3*d - 4*r + 2*r = y, -5*r + 21 = 2*d for d.
3
Let m(g) = -g**3 - 28*g**2 - 51*g - 646. Let k be m(-27). Solve -2*a = r - k, -3*r + 4*r - 5*a = -5 for r.
0
Let p = 1338 + -1297. Solve 0 = -2*c + 7*c + 3*h - 37, 4*h - p = -5*c for c.
5
Let t = -1 - -7. Let q = -2 + 2. Suppose -4*s + 25 - 9 = q. Solve w + 5*u = t*w + 10, 15 = 3*w + s*u for w.
1
Let x be (-14)/287 + (-2749)/(-41). Solve -5*t - 1 = -2*d, -x = 3*d + 2*t - 78 for d.
3
Let k(t) = 2163*t - 12974. Let o be k(6). Solve o*w + 5*v + 23 = 0, -2 = 4*w - 2*v - 0*v for w.
-2
Let p(d) = 2*d**3 - 18*d**2 - 18*d - 18. Let q be p(10). Solve -x = 3*a - 7*a + 7, -5*x = -q*a - 1 for a.
2
Let z(h) be the first derivative of h**4/4 + 3*h**3 + 13*h**2/2 - h + 58. Let m be z(-7). Solve -3*k - 13 + m = -j, -4*j + 12 = 4*k for j.
4
Suppose 0 = -36*f + 32*f + 20. Suppose -40 = -f*z - 25. Solve 0 = z*i - h - 19, 3*h - 3 + 25 = 2*i for i.
5
Let z be (1 + 0)/((-2)/(-8)). Suppose 7*t + 37 = 2. Let i(u) = u**3 + 6*u**2 - 2*u - 5. Let v be i(t). Solve v = 5*m + 4*w, -m - z*w = -4*m - 14 for m.
2
Let q(k) = 19*k + 4 - 3*k**2 + k**2 - 17*k. Let g be q(-1). Solve -2*r = 3*w - 21, -w + g*r + 3*r - 4 = 0 for w.
5
Let o be (-1)/4*2448/(-153). Solve 4*q - o*j + 20 = 0, -2*j + 4 = -4 for q.
-1
Let a(y) = -1867*y - 13064. Let u be a(-7). Solve -q - 9*i + 7*i - 3 = 0, -u*q + 45 = -5*i for q.
5
Let f be (-5)/10*-22 - 8. Solve r - 9 = n, 0 = -7*r + 10*r + 3*n + f for r.
4
Suppose -348 = -8*l - 50*l. Let o be (1 + 8/(-4))/(l/(-18)). Solve -4*c + o*b = -14, 4 = 2*b - 0*b for c.
5
Suppose 5*x - 2*y = 121, -49*x = -44*x + 5*y - 135. Let g be (x - 15)*3/6. Solve -3*d = -5*d + 2, 0 = -p - 5*d + g for p.
0
Suppose 11892*p + 60 = 11895*p. Solve -5*t - p = -5*q, -2*q - 7 + 3 = 2*t for q.
1
Suppose -23 = -3*l - 11. Suppose 4*u - 6 = -3*g, 9 = l*u + 4*g + 1. Suppose -3*v + 5*n - 8 = u, 2*n - 19 = -5*v + 9. Solve m - v*z = 11, 3*z = -3 - 3 for m.
3
Suppose -4*t + 31 = 2*q - 177, -3*t = q - 156. Solve -53*f + t*f - 3 = -4*b, b - 12 = 4*f for f.
-3
Let d(g) = 2*g**2 + 12*g + 3. Let n be d(-6). Let f(a) = a + 67. Let y be f(-47). Solve n*r - 5*i = -2*r, y = -5*i for r.
-4
Let m(u) = 2*u**3 + 172*u**2 + u + 105. Let b be m(-86). Solve -35*v + b = -30*v - y, -12 = -4*v + 4*y for v.
4
Let p(j) = -j**2 + 5*j - 4. Let n(w) = -2*w**2 - 29*w - 11. Let t be n(-14). Let r be p(t). Solve -4*k = -5*q, k + r*q + 13 = -0*k for k.
-5
Suppose 14*b = 801 + 6955. Let w = -549 + b. Solve w*f - 5 = -5*v, -3*v + 0*v - 12 = 0 for f.
5
Suppose 186*x - 312*x = 366*x - 2460. Suppose -3*m + 2*j + 15 = -j, -4*j = 8. Solve x*c - m*i + 8 = 0, 2*i - 4 = 3*c + 1 for c.
-1
Let h be (1/(3/(-15)))/(-1). Suppose -10 = 2*m, -4*k - 170*m = -172*m - 18. Solve -k*u - 3 + 25 = -3*p, -3*p + h*u = 37 for p.
-4
Let t = -6121 + 6131. Solve -2*b - q = -2, -5*b + 14*q - 9*q = t for b.
0
Let x(o) = 2*o**3 + 15*o**2 + 10*o - 43. Let v be x(-6). Solve 5*h - 5 = -5*w, -w = -3*w + 5*h - v for w.
0
Let d = -1326 - -1331. Solve d*t - 4 = -0*t + o, 0 = -t - o + 2 for t.
1
Let p = 246 + -249. Let y be (-5)/10*(-9 - p). Solve 4*j - y*q = 4, q - 10 = -4*j + 10 for j.
4
Suppose l + 4*l = 4*c + 16, 2*l - c - 4 = 0. Suppose l = 5*g - 37 - 48. Suppose 0 = 6*q - 77 + g. Solve 3*u = 5*f + 33 - q, -u - 15 = 4*f for f.
-4
Let b = 81 - 76. Let t(k) = k - 4. Let g be t(4). Suppose 0 = 6*o - g - 18. Solve -4 = -b*n - 3*l, 3*n - n - 7 = -o*l for n.
-1
Suppose 9*j - 4*j - 27 = 4*z, -3*z + 34 = 4*j. Let s be j/28 - (0 - 21/12). Solve 5*o = 3*o + s*d, -2*d = -8 for o.
4
Suppose 6*g + 16*g = -11*g + 330. Solve 2*j - 3 = r, 4 = -g*j + 12*j for r.
1
Suppose -2*f + 3*w = 68 - 90, -3*f = 4*w + 18. Solve -27*y + 22*y - f*k = -19, -26 = -4*y + 2*k for y.
5
Let n(f) = 63*f - 2076. Let u be n(33). Solve 0 = -3*r - 50*b + 51*b + 12, -u*r + 21 = 2*b for r.
5
Let p(c) = c**3 - 77*c**2 - 325*c + 84. Let w be p(81). Solve 3*m - 21 = -6, -3*m = w*z - 3 for z.
-4
Let b(a) = -a**3 - 3*a**2 - 69*a + 753. Let j be b(6). Solve -j*q = 5*g - 19*q + 36, 12 = g + 4*q for g.
-4
Let b(z) = -3*z**2 + 11*z + 19. Let v(y) = -y**2 + 4*y + 7. Let a(r) = -3*b(r) + 8*v(r). Let h be a(3). Solve -4*d - h*g = 11, -3*g = d - 4*d - 15 for d.
-4
Suppose -5*b + 909 = 34*b + 90. Solve -3*v + b = 3*u, 4*v + 6*u = 4*u + 24 for v.
5
Let a be 0*(36/(-16))/(-9). Suppose 5*j - 4 = 4*j, -5*b - j + 24 = a. Let k be 2/(b + 10/(-3)). Solve -2*t = k*v - 2, -5*t = -2*v - 0*v - 24 for v.
-2
Let b be ((-144)/(-60))/(2/10). Suppose 0 = -3*v + b - 12. Suppose v = 5*l - l - 5*d - 20, -2*l = 2*d + 8. Solve l = y - 2*y + 2*p - 8, -3*p = -6 for y.
-4
Suppose -j = | {
"pile_set_name": "DM Mathematics"
} |
2*x, -10 = -2*x - 0*x + 4*t. Solve -m = -a*m - x for m.
-5
Let b = -110 - -114. Suppose 0 = -5*r - 2*a + 7*a - 5, -5*a + 5 = 0. Suppose 0 = -p - r*p + 5. Solve 11 + b = p*u for u.
3
Suppose -b + 12 = 2*s - 0*s, -b + 4*s - 12 = 0. Solve -1 + b = 3*r for r.
1
Let p be (-332)/(-36) - (-4)/(-18). Let b be (-3)/p + 68/6. Let c = 19 - b. Solve c = -5*f + 33 for f.
5
Let y(m) be the third derivative of m**5/60 + 7*m**4/24 - m**3/6 + 2*m**2. Let f be y(-8). Let v = 11 - f. Solve -2*g + 2 = -v*g for g.
-1
Let x(q) be the first derivative of -7*q**2/2 - q - 3. Let a be x(-1). Suppose 2*r - a = -r. Solve -1 = -f - r for f.
-1
Let l(g) = 7*g**2 + g - 5. Let r(s) = s**2 + s - 1. Let x(p) = l(p) - 4*r(p). Let d be x(3). Suppose u - 6*u + 25 = 0. Solve -u*f + 2 = d for f.
-3
Suppose 4*a + 2*h = -3*h + 22, 2*h = -4*a + 16. Solve 0*j = a*j for j.
0
Let w(t) = 3*t**2 + 2*t + 9. Let c(h) = 5*h**2 + 3*h + 17. Let v(j) = -4*c(j) + 7*w(j). Let g be v(-4). Solve 1 + g = -2*x for x.
-2
Let z(d) be the first derivative of -d**4/4 + 5*d**3/3 - 2*d**2 + 2*d + 3. Let g be z(4). Solve g*t + t - 9 = 0 for t.
3
Suppose 8 = 2*b + 2*b. Suppose -c + b = -0. Suppose -c = -3*s + 4. Solve 1 = -p - s for p.
-3
Let o(u) = 3*u + 7. Let q(b) = 2*b + 4. Let d(v) = -3*o(v) + 5*q(v). Let w be d(1). Suppose -2*z - 3*z = w. Solve -3 = -z*l + l for l.
-3
Let c be -6 - 2/(-1) - -9. Solve 0*l = -c*l + 20 for l.
4
Suppose -5*d = -20 + 10. Solve 8 = -d*q - 2 for q.
-5
Suppose 2*p + 0*p + 10 = 0. Let q = 8 + p. Suppose -l = -q*l + 4. Solve l*a - a = 3 for a.
3
Suppose -3*l + 2*c = -1, 18 = 5*l - c + 7. Suppose 2 = -l*a + 14. Solve -26 + 6 = a*k for k.
-5
Let a(g) = g**2 - g - 4. Let u be a(-2). Solve 0 = -u*o + 6 + 2 for o.
4
Let h(c) = -c + 8. Let s be h(6). Suppose 5*i = 15, 8*i = -3*p + 3*i + 15. Let q be (p + 0 - 0)/1. Solve -7*l + s*l = q for l.
0
Let r be 10/55 + 196/11. Let f = -9 + r. Solve -3*s = -0*s - f for s.
3
Suppose 0*r - 2*h - 2 = 2*r, -4*h = -2*r + 28. Solve 12 = -r*z - 4 for z.
-4
Let x = 7 + -14. Let j = x - -11. Solve 7*w = 3*w + j for w.
1
Suppose -5 + 25 = 5*b. Suppose 0 = p - 6*p - 4*u + 30, 3*p + 5*u = 31. Suppose -5 = -p*r + 3. Solve 0*w + r*w = b for w.
1
Let v be 34/(-4) + (-1)/(-2). Let l be ((-4)/6)/(v/24). Solve -l*h + 3*h = -3 for h.
-3
Let c(u) = 8*u - 3*u - 3*u. Let d be c(3). Solve 4*i + d = 14 for i.
2
Suppose 10*q - 68 = -8. Solve 0 = 3*c + q + 3 for c.
-3
Suppose 0 = -w - w + 10. Let r(b) = -b**2 + b + 9. Let n be r(0). Let a = n - w. Solve a*v - 5 = -v for v.
1
Let a(m) = 2*m - 5*m + 8 + 2*m. Let i be a(6). Suppose -q = -i*q - 2*v + 5, -2*q + 10 = -2*v. Solve 9*o = 4*o - q for o.
-1
Suppose 3*z = 5*d - 24, -z = 5*d - 6*z - 30. Solve d*h + 20 = 7*h for h.
5
Let y = -57 + 62. Solve 14 - 4 = y*z for z.
2
Let x(v) = -v + 19. Let o be x(14). Solve h = o*h - 16 for h.
4
Let z = 1 - -2. Suppose -150 = -5*o - 15. Let q be (-6)/o + (-22)/(-18). Solve 0 = -2*t + q - z for t.
-1
Suppose -4*p + 52 = -2*o, -22 = -3*p - 4*o + 28. Suppose 2*k = -2*s + p - 4, 2*k - 13 = -3*s. Solve l = -1 + s for l.
2
Suppose 2*d = -3*p + 62, 0 = -2*d + p - 6*p + 70. Let g(f) = -2*f**2 + 14*f - 2. Let o be g(6). Let m be (-68)/(-14) + o/70. Solve -d + 5 = -m*u for u.
4
Let g = 145 + -124. Let o(c) = c**3 + 4*c**2 - 3. Let k be o(-3). Let m be (-11 - -2)/(k/(-4)). Solve m - g = 5*n for n.
-3
Let u(t) = t**2 - 7*t - 6. Suppose 0*o - 8 = -o. Let k be u(o). Solve -9 = z + k*z for z.
-3
Let l = 2 - 2. Suppose 0 = -2*m + 6*m + 12. Let v = m - -7. Solve -6*q + v*q - 10 = l for q.
-5
Let l be (-4)/(-10) + 84/(-10). Let n = -6 - l. Let b be (2 - -2)/(10 + -6). Solve -n*q = -q + b for q.
-1
Suppose 15 = -c + 6*c. Solve c*d + 0 = 12 for d.
4
Let i be (-1 + (-1 - -2))/(-2). Solve -w - 4*w = i for w.
0
Suppose 3*l = -2*l - 5. Let j(w) = -5*w**2 - 1. Let p be j(l). Let c(i) = i + 8. Let x be c(p). Solve -x*k + 2 + 4 = 0 for k.
3
Let m = 6 - 4. Suppose 5*k = -2*f + f + 100, 0 = -3*k + 4*f + 60. Solve -m*x + k = 3*x for x.
4
Suppose 0*t = 2*t - 2. Let v = t - -1. Solve k = v*k + 4 for k.
-4
Let i(m) = 2*m - 10. Let f be i(7). Solve f*y = -13 + 1 for y.
-3
Suppose 15 = 3*m - 7*s + 4*s, m = 4*s - 4. Solve 12 = 4*i - m for i.
5
Let y(p) = -p**2 - 4*p + 13. Let s be y(-6). Solve f + 2 + s = 0 for f.
-3
Suppose 4*i - 312 + 48 = 0. Suppose 0 = -5*u, -4*n - 26 = 5*u - i. Suppose -s - n = -3*j, j + 0 = -2*s + 15. Solve -j*y - 1 = -6 for y.
1
Let b(p) = 6*p**2 - 2*p + 1. Let m be b(1). Solve 5*l + m = -10 for l.
-3
Let p be (0/2)/(-1) - 0. Suppose 2*i - 5 = w - 2*w, p = -3*i + w - 5. Solve i = -2*b + 6*b for b.
0
Suppose 5*k - 12 = 4*j, -3*j = -1 - 5. Solve -k*d = -3*d + 4 for d.
-4
Let i = 4 - 1. Suppose -3*d - 21 = -i*n, d - 2*d + 18 = 4*n. Solve 0 = -0*l - n*l - 5 for l.
-1
Let c(j) = -j**2 - 6*j + 59. Let v be c(5). Solve 4*u = -0 - v for u.
-1
Let v(x) = -2*x - 2. Let d be v(-3). Suppose -u - d*m - 14 = -0*m, -u + 4*m = -18. Suppose u*y + 2*y = 0. Solve w + w = y for w.
0
Let f(u) = u**2. Let x be f(2). Suppose -3*p + 21 = x*h, -3*p + 0*h + 4*h = -21. Let q(l) = l**2 + 3*l - 4. Let g be q(-4). Solve -2*s + 3 + p = g for s.
5
Let t(f) = -f**3 - 2*f**2 - 4. Let j be t(-5). Suppose 0 = o - 4*p, 2*o - j = -p - 26. Solve 3*k + k = -o for k.
-5
Let d be (12/5)/((-3)/15). Let m = d - -13. Solve -2*c = 5 + m for c.
-3
Suppose 6*h = h + 140. Suppose 0 = -0*i - 2*i + 8, -4*i + h = 3*p. Suppose -p*z = -6 - 10. Solve 0 = -z*l - 2 + 6 for l.
1
Suppose -2 + 26 = 4*u. Let s = -4 + u. Suppose -4 = f - 7, 4*z + 2*f = 6. Solve z = s*d + 6 - 0 for d.
-3
Let p(x) = -x**3 + 3*x**2 + 3*x - 4. Let l be p(3). Suppose 0*i = i. Suppose 3 + 6 = 3*h + 3*j, i = -j - 1. Solve -3*z + l*z = h for z.
2
Let x = 13 + 7. Solve 0*f - 5*f = -x for f.
4
Suppose -5*l = 3*r + 5, r = -2*l + 2*r + 9. Suppose -l*o - 2*o - 2 = -3*v, 4*v + o = -10. Let f(i) = -2*i. Let q be f(v). Solve q*k + 5 = 17 for k.
3
Let t = -79 - -84. Let d be (-2)/(-6) + (-2)/(-3). Solve 6 = -t*j + d for j.
-1
Let y be (-5 - 1)*(-3 - -4). Let t be (4/y)/((-4)/18). Suppose -2*l = -f - 2, -3*l = -4*f - 5 - t. Solve l = -0*r + 3*r + 12 for r.
-4
Let j be 2/(-4)*2*21. Let u = j - -29. Solve u*a - 3*a + 15 = 0 for a.
-3
Let g = 29 - 20. Let w(t) = -t + 13. Let l be w(g). Let p(c) = 2*c + 1. Let y be p(l). Solve y = -5*b - 11 for b.
-4
Let u(p) = -p**3 - 5*p**2 - 4*p - 1. Let r be u(-3). Let f = r + 17. Solve -a - f = a for a.
-5
Let m(a) = 4*a + 4. Let o be m(4). Let u = -2 - -2. Suppose 4*x - 28 = 4*w, -2 = -u*w + w. Solve -x*g + o = -10*g for g.
-4
Suppose -r = o - 2*r - 2, 0 = -3*r. Solve -2*x + 4 = o for x.
1
Let t be (-109)/(-7) + 0 + 15/35. Solve -t + 10 = -3*h for h.
2
Let o(z) = z**2 + 3*z + 3. Let l be o(-2). Solve -5*w + 4 = -l for w.
1
Let m be (54/(-14) - -3)*7. Let k = 10 + m. Let q be 18 - ((k - -1) + -2). Solve 2*p = -p + q for p.
5
Suppose 2*a = -0*a + 6. Suppose a*v + 11 = 5*j, -2*j + 26 = 3*j + 2*v. Let t = 50 - 47. Solve -j = -2*y + t*y for y.
-4
Let m(r) = -r**3 - 5*r**2 - 9*r - 6. Let b be m(-3). Solve -b*j = -j for j.
0
Let j be -1*(2 + -5) - 13. Let b be ((-9)/5)/(3/j). Solve 0 = -2*y + b*y for y.
0
Let n = -4 - -5. Let m be 0/(n*(-2 - -1)). Suppose 2 = p - m*p. Solve -p*j = 2*j - 20 for j.
5
Let k(j) = -j**2 + 3*j - 1. Let n be k(3). Let a(x) = 2*x**2 - 1. Let s be a(n). Suppose 2*z - 7 = 2*t - s, -5*z = t - 9. Solve -4*i + 2 = -z*i for i.
1
Let c = -42 - -42. Solve -j + c*j + 1 = 0 for j.
1
Let g(x) = -4*x + 10. Let o be g(2). Solve -4*z + 5*z = -o for z.
-2
Let r be 15/(-12)*6*-2. Suppose 0 = -5*g + 5*z + r, 2*z + 4 = -2. Solve g*b - 2*b = 4 for b.
-2
Let y be 1*(-3)/9*-33. Let a = 13 - y. Solve -l + a = l for l.
1
Let x = 1 - 2. Let h be 0 + 4 + (-2 - x). Let y be h - (-2 + 2)/(-3). Solve -4*i = -y*i for i.
0
Let b be (-15*1)/(2/(-2)). Let o = -18 + 27. Let p = o + b. Solve 5*s - 4 = -p for s.
-4
Let p = -2 - -6. Let f(l) = l**2 - 5*l + 4. Let k be f(3). Let r be (k/p)/((-2)/24). Solve 2*i = r*i for i.
0
Let s(h) = 2*h**3 - 11*h**2 - 3*h - 13. Let b be s(6). Solve b = -3*u - 7 for u.
-4
Let g(a) = a**3 + 2*a**2 - 1. Let i(s) = -2*s**3 + s. Let b be i(-1). Let j be g(b). Let c be 16/5 - (-1)/(-5). Solve -j*t = t + c for t.
-1
Let v(h) = -h**2 + 9*h + 7. Let i be v(6). Let o(k) = -k**3 - 3*k**2 - 8*k - 18. Let q be o(-3). Solve 0 = -b + q*b - i for b.
5
| {
"pile_set_name": "DM Mathematics"
} |
5*k + k + d = 0. List the prime factors of 8/(-24) + k/6.
5
Let h(s) be the first derivative of 7*s**2 + 8*s - 1/3*s**3 - 5. List the prime factors of h(13).
3, 7
Suppose 3*r + 10 = 37. Let o = r + -1. List the prime factors of o.
2
Suppose -5*f + 26998 = -2*b, 3*f - 14*b + 12*b - 16198 = 0. List the prime factors of f.
2, 3, 5
Let b(y) = 35*y**2 + 29*y - 257. What are the prime factors of b(9)?
17, 167
Suppose 0 = -m + 6*s - 2*s, -5*s - 17 = 3*m. What are the prime factors of (-167 + m + -4)*-1?
5, 7
Let h be (0 + 2)/2 + 12. Let j(o) = o**2 + 3. Let q(r) = -2*r**2 - r - 6. Let z(b) = h*j(b) + 6*q(b). List the prime factors of z(6).
3
Let d = 84 + -80. Suppose -236 = -j - k, -1194 = d*j - 9*j + 2*k. What are the prime factors of j?
2, 7, 17
Let d be 4/(-32) + (-50)/(-16). Let a be -7 - -1 - 0/d. What are the prime factors of a/(-4 - 44/(-12))?
2, 3
Let p(w) = w**2 - 8*w + 14. Let i(c) = -1. Let z(o) = -5*i(o) - p(o). What are the prime factors of z(6)?
3
Let u = 27 - 22. Let w(n) = 5*n + 5. What are the prime factors of w(u)?
2, 3, 5
Suppose 10*a - 8*a = i - 2627, -5*i = -4*a - 13153. List the prime factors of i.
2633
Suppose 23*a = 26*a - 987. What are the prime factors of a?
7, 47
Let v = 4071 - 2395. List the prime factors of v.
2, 419
Let t = -1307 + 3916. List the prime factors of t.
2609
Let j = 2020 + -906. What are the prime factors of j?
2, 557
Suppose -8964 = -207*c + 203*c. What are the prime factors of c?
3, 83
Let g(u) = -u**3 + 6*u**2 + 7*u + 3. Let p be g(7). What are the prime factors of (p + (-12)/2)*(-23)/3?
23
Suppose -z = -6*z - 40. What are the prime factors of 14/z*(-36 - 0)?
3, 7
Let t(x) = 582*x**2 - 2*x - 2. List the prime factors of t(-1).
2, 3, 97
Let h = 228 - 100. Let u = h - -48. What are the prime factors of u?
2, 11
Let d = 795 - 523. List the prime factors of d.
2, 17
Let i = 207 + -143. List the prime factors of i.
2
Suppose 0 = -3*h + 49*o - 53*o + 7100, -4734 = -2*h - 2*o. What are the prime factors of h?
2, 37
Let j(u) = 5*u**3 - 8*u + 16. What are the prime factors of j(3)?
127
Let z = 583 - 69. List the prime factors of z.
2, 257
Let x = -13 - -18. Suppose 2*z = x*z. Suppose z = l - 13 + 7. List the prime factors of l.
2, 3
Suppose -5*c + 20605 = -2*y - 0*y, -c - 2*y = -4133. List the prime factors of c.
7, 19, 31
Suppose -9*c - 10176 = -62*c. List the prime factors of c.
2, 3
Suppose -2*y + 4835 = 5*n + 1612, -5*y = 5*n - 8095. What are the prime factors of y?
2, 7, 29
Suppose 7*q = 8*q - 54. Suppose 0 = b - 158 + q. List the prime factors of b.
2, 13
Suppose 3*j + 4 = 5*a, a - 5*j = -4*a. Let y be (-57)/5 - a/(-5). Let k = -6 - y. List the prime factors of k.
5
What are the prime factors of ((-235)/(-20))/((-3)/(-576))?
2, 3, 47
Let q(a) = -a**2 + 4*a + 29. Let z be q(7). Let k = z - -12. List the prime factors of k.
2, 5
Suppose -13*z + 11*z + 3002 = 0. List the prime factors of z.
19, 79
Suppose 0 = 4*n + 5*v - 225, -3*v + 0*v = 2*n - 115. Let s = n - 22. What are the prime factors of s?
2, 7
Let t = 230 - 120. Let c(s) = -73*s + 9. Let p be c(-1). Suppose 0 = -3*a + t + p. List the prime factors of a.
2
Suppose 0 = -3*l - 4*a + 4716, 0 = 64*l - 63*l - a - 1565. List the prime factors of l.
2, 7
Suppose -r + 10 = 3. Let y = -8 - -5. Let a = r - y. List the prime factors of a.
2, 5
What are the prime factors of ((-99)/(-9) - 14) + 1*1772?
29, 61
Let l be (4 - 5)/(3/12*-1). Suppose -l*h - 93 = -5*h. What are the prime factors of h?
3, 31
Suppose 0 = -3*c - 15, 12 + 98 = -4*u + 2*c. Let o = u + 24. Let d = 55 - o. List the prime factors of d.
61
Suppose -5 - 1 = j. Let r be (-31)/11 - j/(-33). List the prime factors of r*1*(-16 + 7).
3
Let f(w) = -33*w - 153. What are the prime factors of f(-11)?
2, 3, 5, 7
Let d(y) = y**3 - 3*y**2 - 7*y - 16. Let b be d(5). What are the prime factors of (-2)/b*(-780)/(-40)?
3, 13
Let z = 4 - 2. Suppose -5*g + 2*f = 5*f - 74, z*g - 3*f = 38. List the prime factors of g/20*7*5.
2, 7
Let o(f) = f**2 + 11*f + 2. Let l be o(-15). List the prime factors of (3 + -6)/((-3)/l).
2, 31
Suppose 5*h - 3*u = 34, -4*u - 17 = -5. Let p(r) = -r**3 + 6*r**2 + 3*r + 2. Let m be p(6). Suppose 4*n = h*n - m. What are the prime factors of n?
2, 5
Let d be (-2)/(-6) - 802/(-6)*7. List the prime factors of (d/(-16))/(1/(-2)).
3, 13
Let n(w) = -509*w - 1238. What are the prime factors of n(-8)?
2, 13, 109
Let f(c) = 24 - 23 + 119*c**2 + 50*c**2. What are the prime factors of f(-1)?
2, 5, 17
Let i = -310 - -546. List the prime factors of i.
2, 59
Let h be (-8)/(-10)*(-35)/(-7). Suppose 421 = h*f + 3*a, 2*a + 0*a = -5*f + 535. What are the prime factors of f?
109
What are the prime factors of 8364/6*(4 + -3)?
2, 17, 41
Suppose 0 = 2*g - 0*g - 24. What are the prime factors of (-4)/(-3) - (-224)/g?
2, 5
Suppose -62 = 2*k - 3*m, k + 62 = -k - m. Suppose -12*d = 15*d + 513. Let v = d - k. What are the prime factors of v?
2, 3
Let w = -107 - -154. Let x = 71 - w. List the prime factors of x.
2, 3
Let h be (-3 - -3)*5/(-10). Suppose h*m + 88 = m. Let c = -54 + m. What are the prime factors of c?
2, 17
Suppose 821*c - 616 = 817*c. List the prime factors of c.
2, 7, 11
Suppose -4*c = -2*h - 3*c - 17, 0 = 4*c - 12. Let j be -1 - (278/(-12) + 37/222). List the prime factors of j*2 - (h - -4).
47
Let m = 13 + -12. Suppose -3*q + m = j, -q + 19 = q - 3*j. List the prime factors of -3*17/(-6)*q.
17
Let x be ((-36)/8)/(1/(-2)). Suppose 0 = 3*y - x, -2*s + 5*y + 371 = 2*y. Suppose 5*p - 2*a - s = 0, -4*p - 5*a + 105 = -2*p. What are the prime factors of p?
2, 5
Let q = -237 - -169. Let c = 117 + q. List the prime factors of c.
7
Suppose 0 = 7*c - 0*c. Suppose -584 = -4*z - h, -2*z = -c*z + 2*h - 286. What are the prime factors of z?
3, 7
Let k = 137 - 102. List the prime factors of k.
5, 7
Suppose -8*p + 11 = -125. Suppose -9*l = -p*l + 1496. List the prime factors of l.
11, 17
Suppose -4512 = 9*s - 18723. What are the prime factors of s?
1579
Let y(r) = 5*r**2 + 5*r + 1. Let m be y(-2). Let q = -9 + m. Suppose -4*s - q*s = -294. List the prime factors of s.
7
Suppose -5*h - 2860 = -10*h. List the prime factors of h.
2, 11, 13
Let w be (2/8 + 0)*68. Let x = w - 15. Suppose -x*a + 3 + 3 = 0. List the prime factors of a.
3
Let w be ((-3)/(-1) - 7) + 35. Suppose -13 - 5 = 2*q. Let x = q + w. What are the prime factors of x?
2, 11
Suppose 0 = -3*p - 5 - 7. List the prime factors of (44 - p)*(-15)/(-3).
2, 3, 5
Let j(c) = c + 1. Let f be j(8). What are the prime factors of (-15)/(-10)*102/f?
17
Suppose -g - 12 = -3*g. Suppose 9*k - 6*k - g = 0. Suppose -k*i - 18 = -3*i. List the prime factors of i.
2, 3
Suppose 3*f = c - 897, -5*f - 319 = -c + 570. What are the prime factors of c?
3, 101
Suppose 4*t - 2026 = -3*d, 5*t - d - 2996 = -473. List the prime factors of t.
5, 101
Let w(b) = 2*b**2 + 7*b + 1. Let z be w(5). Suppose -o - 4*u + z = o, -5*o + 4*u + 145 = 0. What are the prime factors of o?
3, 11
Let u be (1/3)/(0 + (-1)/(-18)). Suppose 0 = u*h - h + 2*m - 155, -h = -5*m - 4. What are the prime factors of h?
29
Let t be 0 - (0 + -3 - 0). Suppose t*d - 2 - 7 = 0. Suppose 2*x + d*x = 95. What are the prime factors of x?
19
Let y(t) = -t + 1. Let d be y(-8). Suppose -52 = 13*m - d*m. Let p(q) = q**3 + 12*q**2 - 16*q - 14. List the prime factors of p(m).
5
Suppose -7*b + 21 = -4*b. Suppose 5*d = b*d - 192. List the prime factors of d.
2, 3
Let h be 7/(1 + 0) - 1. List the prime factors of (-126)/(-2) - (-3)/h*2.
2
Suppose -48 = 10*s + 202. Suppose -r = -k - 46, 0*r + k - 50 = -r. Let g = r + s. List the prime factors of g.
23
Suppose 0 = -5*l - 11*t + 8*t + 2159, 415 = l - 5*t. What are the prime factors of l?
2, 5, 43
Suppose -17*s + 22*s = 1610. What are the prime factors of s?
2, 7, 23
Suppose -5*t - 4*h + 2 = -6, -2*t - 5*h = -10. Suppose t = -2*r + 2 - 8, -p - 4*r = -75. List the prime factors of p.
3, 29
Suppose 0 = -83*x + 84*x - 264. What are the prime factors of x?
2, 3, 11
Let t(w) = -w**2 + 23*w + 48. Let o(c) = c**3 - 22*c**2 + 3*c - 46. Let j be o(22). List the prime factors of t(j).
2, 3
Let d = -3 + 6. Suppose 64 = 4*b - y, -97 = -0*b - 5*b - d*y. What are the prime factors of b?
17
Let h = 587 + 35. What are the prime factors of h?
2, 311
Let p(f) = 520*f. Let l be p(1). Suppose 0*k + l = 4*k. | {
"pile_set_name": "DM Mathematics"
} |
What is 62.88741 rounded to the nearest 10?
60
Round -281842.35131 to the nearest one thousand.
-282000
What is 10152.69585 rounded to the nearest one thousand?
10000
What is -2225.84255 rounded to the nearest one hundred?
-2200
What is 501067.916 rounded to the nearest 100?
501100
What is -4916.30545 rounded to the nearest 100?
-4900
What is 0.00011882821937 rounded to 6 dps?
0.000119
What is -0.002363242801 rounded to four decimal places?
-0.0024
Round -336.1730623 to one decimal place.
-336.2
Round -0.0000006790795 to 6 dps.
-0.000001
What is -0.009421319895 rounded to 6 decimal places?
-0.009421
Round -0.00003405011109 to 6 decimal places.
-0.000034
Round -11291981180 to the nearest one million.
-11292000000
What is 0.67351425 rounded to 2 dps?
0.67
What is 14703.1614 rounded to the nearest 100?
14700
What is -0.0169986714 rounded to two decimal places?
-0.02
Round -3.1133732 to the nearest integer.
-3
Round -14874.00159 to 1 dp.
-14874
What is 0.3604166651 rounded to 3 dps?
0.36
Round 191.260779 to two dps.
191.26
What is 2696.881946 rounded to the nearest one thousand?
3000
Round -0.00000047699773 to seven decimal places.
-0.0000005
What is -26058.7264 rounded to the nearest ten?
-26060
What is -3562.10633 rounded to 0 dps?
-3562
Round 0.000038961147 to six decimal places.
0.000039
What is 592.2885766 rounded to two dps?
592.29
Round -853691.2 to the nearest 1000.
-854000
What is 1754230.673 rounded to the nearest one hundred thousand?
1800000
What is -64217.188 rounded to the nearest 10?
-64220
Round -31256.5611 to the nearest one thousand.
-31000
What is 24.2227897 rounded to two dps?
24.22
Round 123.0952478 to the nearest ten.
120
Round 10781642 to the nearest 100000.
10800000
What is 0.0066868725 rounded to six dps?
0.006687
What is -673.0055 rounded to the nearest one hundred?
-700
What is -28375647.8 rounded to the nearest 1000?
-28376000
Round 0.0000421655615 to six dps.
0.000042
What is 243.8580415 rounded to 0 decimal places?
244
Round -22334088.2 to the nearest 1000000.
-22000000
What is 16.73246 rounded to the nearest 10?
20
What is 0.00000164986399 rounded to 7 dps?
0.0000016
Round 0.000743689265 to five decimal places.
0.00074
Round 0.148592072 to 2 decimal places.
0.15
What is -8.77692124 rounded to 3 dps?
-8.777
Round -553.17052 to the nearest 10.
-550
Round 0.00000327691691 to 7 decimal places.
0.0000033
Round 807328.999 to the nearest one thousand.
807000
What is -0.0000130475326 rounded to seven decimal places?
-0.000013
What is 0.279348105 rounded to 3 decimal places?
0.279
Round -4588567.648 to the nearest one hundred.
-4588600
Round -47.037012 to 0 decimal places.
-47
Round -2869860.28 to the nearest 1000.
-2870000
What is 0.00000122043753 rounded to 7 decimal places?
0.0000012
What is -8803746.43 rounded to the nearest 1000?
-8804000
What is 15.7435866 rounded to 1 decimal place?
15.7
Round 13008.28203 to the nearest one thousand.
13000
Round 73770.6252 to the nearest one thousand.
74000
What is 63008.893 rounded to the nearest ten thousand?
60000
What is -4.38201 rounded to two dps?
-4.38
What is 55674.5794 rounded to the nearest 10000?
60000
Round -167.68888357 to three decimal places.
-167.689
Round -0.00000264181196 to seven decimal places.
-0.0000026
What is 0.000050500137 rounded to 7 dps?
0.0000505
Round -13.92876242 to 0 decimal places.
-14
Round 9756.2249 to the nearest integer.
9756
Round 0.01093407338 to six decimal places.
0.010934
What is 0.1326148273 rounded to 4 dps?
0.1326
What is -837.604687 rounded to the nearest 10?
-840
Round -8.9708377 to one dp.
-9
What is 20591168600 rounded to the nearest one million?
20591000000
What is -2680089607.3 rounded to the nearest ten thousand?
-2680090000
Round -55.8301588 to three decimal places.
-55.83
What is 0.00003657569231 rounded to six decimal places?
0.000037
What is -18.47794288 rounded to 3 decimal places?
-18.478
What is 415.106239 rounded to the nearest integer?
415
Round -20061.6333 to the nearest 1000.
-20000
What is 15741.372174 rounded to the nearest one thousand?
16000
What is 0.000000715285818 rounded to 7 decimal places?
0.0000007
Round 126798622.49 to the nearest one hundred thousand.
126800000
Round -0.00068958516 to five decimal places.
-0.00069
What is -56029.016 rounded to the nearest one hundred?
-56000
What is 0.000944422828 rounded to four decimal places?
0.0009
Round 0.030566495 to four dps.
0.0306
Round 1.046623869 to two decimal places.
1.05
Round 0.751796291 to 2 dps.
0.75
Round -4642347.26 to the nearest 1000000.
-5000000
Round 85653831.4 to the nearest ten thousand.
85650000
What is -14148.18563 rounded to the nearest ten?
-14150
What is -0.0085767922 rounded to seven decimal places?
-0.0085768
What is 4931.768 rounded to the nearest ten?
4930
What is -5.846706464 rounded to 2 dps?
-5.85
Round -0.00002123271662 to 7 dps.
-0.0000212
What is 0.1571148982 rounded to 4 dps?
0.1571
Round -219.17208 to the nearest integer.
-219
What is 29210273.16 rounded to the nearest one million?
29000000
Round 25223962.98 to the nearest one hundred thousand.
25200000
What is -3550.476145 rounded to the nearest 100?
-3600
What is 0.01044459834 rounded to 4 decimal places?
0.0104
What is 0.078534847 rounded to 5 dps?
0.07853
What is -0.0193026895 rounded to three dps?
-0.019
What is 0.00086978078 rounded to six dps?
0.00087
What is -439997.5 rounded to the nearest 10000?
-440000
Round -480674.7286 to the nearest 10.
-480670
Round -236.6155988 to two decimal places.
-236.62
Round -0.00000948709904 to seven dps.
-0.0000095
What is -1358.564155 rounded to 1 decimal place?
-1358.6
What is -0.00330159973 rounded to 6 decimal places?
-0.003302
Round -0.000002137487036 to 7 dps.
-0.0000021
What is -0.82555723 rounded to 3 dps?
-0.826
What is -37387360.15 rounded to the nearest one million?
-37000000
What is -0.02033822073 rounded to 5 dps?
-0.02034
What is 0.02638555868 rounded to 5 decimal places?
0.02639
What is 0.188800119 rounded to 3 dps?
0.189
Round -5470795.8 to the nearest 1000000.
-5000000
What is 4499912.076 rounded to the nearest 10000?
4500000
What is 1169.36696 rounded to 1 dp?
1169.4
Round 0.00001843974905 to six dps.
0.000018
Round -0.00018917055 to 4 decimal places.
-0.0002
What is 11916.77 rounded to the nearest one hundred?
11900
What is 1851.95508 rounded to the nearest 100?
1900
What is 104947205 rounded to the nearest one hundred thousand?
104900000
Round -554.33487 to the nearest 10.
-550
What is 0.00029836564 rounded to 3 dps?
0
What is 2388727.77 rounded to the nearest 100000?
2400000
What is -12001.55878 rounded to the nearest one hundred?
-12000
What is 0.528939056 rounded to one dp?
0.5
Round 1893592.595 to the nearest 10000.
1890000
Round -0.005102506 to five decimal places.
-0.0051
Round 253219.308 to the nearest 100.
253200
Round -0.007448877374 to 3 decimal places.
-0.007
Round -0.00335316058 to five decimal places.
-0.00335
What is -0.000474456319 rounded to four decimal places?
-0.0005
What is -8.890291153 rounded to three dps?
-8.89
Round 0.0003836134398 to five decimal places.
0.00038
What is -0.00005961589704 rounded to 7 dps?
-0.0000596
What is -20489.6117 rounded to the nearest 10?
-20490
Round -0.00042530569 to 7 dps.
-0.0004253
Round 1.16136939 to three decimal places.
1.161
What is 12.05791503 rounded to 2 decimal places?
12.06
Round 947.13702 to two dps.
947.14
Round -16997.181027 to the nearest 100.
-17000
What is -1245326.95 rounded to the nearest 100?
-1245300
What is 37972167.5 rounded to the nearest 1000000?
38000000
What is -94025679 rounded to the nearest 1000000?
-94000000
Round -5.67348398 to the nearest integer.
-6
Round 29719.83187 to the nearest 1000.
30000
Round 0.000649287333 to 5 dps.
0.00065
Round 151992.51 to the nearest ten thousand.
150000
Round -0.0000279428256 to seven decimal places.
-0.0000279
Round 0.0055957521 to three decimal places.
0.006
What is 3663.7672 rounded to the nearest 10000?
0
What is -44.599371 rounded to three decimal places?
-44.599
What is -0.000000268166576 rounded to seven decimal places?
-0.0000003
What is 0.00000094709999 rounded to seven dps?
0.0000009
What is 17129.9629 rounded to the nearest 1000?
17000
What is -45408.19908 rounded to the nearest ten thousand?
-50 | {
"pile_set_name": "DM Mathematics"
} |
2*v - 289, 5*m - 5*v - 145 = 150. What are the prime factors of m?
3, 19
Suppose 4356 = 2*z - 3*u, 1136 = z - 5*u - 1049. List the prime factors of z.
3, 5, 29
Let x = 1162 - 611. What are the prime factors of x?
19, 29
Suppose 0 = -3*z - 2*z + 10. Let d be (-3 - 5)/4 + 5. Suppose -3*s + 3 = d*q, -4*q + z = 3*s - 0*q. What are the prime factors of s?
2
Let j be 2/(-7) - 1065/21. Let l(g) = -42*g - 51. Let w be l(-3). Let f = j + w. List the prime factors of f.
2, 3
Let i = 1139 + 1568. What are the prime factors of i?
2707
Let f(x) be the second derivative of 0 + 2*x**2 + 0*x**3 + 2/3*x**4 + 1/20*x**5 - x. List the prime factors of f(-8).
2
Let r(q) = 2*q**3 - 56*q**2 - 26*q + 69. List the prime factors of r(30).
3, 107
Let w = -36 - -251. What are the prime factors of w?
5, 43
Let j(s) = s - 1. Let a be j(6). Suppose 4*k = a*b - 4, 4*b = 3*b + k + 1. Suppose b = -2*o - 4*w + 48, -3*o + 40 = -o - 4*w. What are the prime factors of o?
2, 11
Suppose -4*x + 3 + 1 = 0. Let k(q) = 12*q**3 + 1 + 21*q**3 + 4*q**2 - 5*q**2. List the prime factors of k(x).
3, 11
Suppose -4*i - 34 = 10. Let o = i - -9. List the prime factors of (2 - 4)/(o/25).
5
Suppose -128 + 126 = -s. Suppose 41 = n - c, s*c - 158 = -9*n + 5*n. List the prime factors of n.
2, 5
Let s = -68 + 69. Let j(l) = 7*l**2 + 4 - 3 - 2. What are the prime factors of j(s)?
2, 3
Suppose -1936 = -3*b - 2*w, -3*b - 5*w = -0*b - 1933. List the prime factors of b.
2, 17, 19
Suppose 5*p + 5*q + 5 = 0, -3*q = p + 7 + 2. Suppose m + p*m = 204. List the prime factors of m.
3, 17
Let g(r) = r**2 - 5*r + 5. Let u(t) = -11*t**3 - t**2 - 2*t - 1. Let o be u(-1). Let y be (o - 14) + 11*1. List the prime factors of g(y).
29
Let j(d) = d**3 + 16*d**2 + 18*d - 8. Let g be j(-15). Let q = 86 + g. What are the prime factors of q?
3, 11
Let t be ((-24)/10)/(4/(-20)). Suppose 0 = 4*w - 12 - t. What are the prime factors of (5 - w)*(0 + -30)?
2, 3, 5
Let k be 0 - (-4 + 7 + -7). Let i(t) = -t**2 - 9*t + 12. Let s be i(-10). Suppose -s*r + 32 = k*b, 2*b = -2 - 6. What are the prime factors of r?
2, 3
Let p = 27 + -25. Suppose p*r - 25 - 35 = 0. List the prime factors of r.
2, 3, 5
Let l(d) = -3*d - 8. Let f be l(6). Let p be 2/(-4)*(f + 0). Suppose -3*w + p = -8. List the prime factors of w.
7
What are the prime factors of 421 + 0 - -1*7?
2, 107
Suppose -13*f + 47*f = 81396. What are the prime factors of f?
2, 3, 7, 19
Suppose 0 = -2*d - 0*d - g - 2, 3*d + g + 2 = 0. Let p(n) = 2*n + 73. What are the prime factors of p(d)?
73
What are the prime factors of (5104/(-264))/((-4)/366)?
29, 61
Suppose 3*r - 5*r + 4*v + 158 = 0, -3*r + v + 222 = 0. Let u = r - 44. What are the prime factors of u?
29
Let j = -121 + 133. Let x(q) = -q**3 + 13*q**2 - 4*q + 16. What are the prime factors of x(j)?
2, 7
Suppose 12*n - 22 = 2. Let o = n + 38. List the prime factors of o.
2, 5
Let q(i) be the second derivative of -4*i**3/3 - 21*i**2/2 + 7*i. List the prime factors of q(-6).
3
Let b be (10 + -7)/(6/40). What are the prime factors of (72/b)/((-4)/(-120))?
2, 3
What are the prime factors of 2331/6 + (-4)/(-8)?
389
Suppose 0 = 3*k + 3*b - 368 - 232, -8 = 2*b. List the prime factors of k.
2, 3, 17
Suppose -4*n = -x + 232, -n - 652 = -12*x + 9*x. List the prime factors of x.
2, 3
Let l(b) = 31*b**3 + 4*b**2 + 31. List the prime factors of l(5).
2, 2003
What are the prime factors of -3*(19/4)/((-12)/48)?
3, 19
Suppose 19944 = 8*t + 10*t. What are the prime factors of t?
2, 277
Let y be 5 + 0 - (5 - 2). Suppose -5*j - 4*d = -1192, y*d - 716 = -5*j + 2*j. List the prime factors of j.
2, 3, 5
Let o = 9 - -14. Suppose -3*r + 43 = -o. Let z = r + -2. List the prime factors of z.
2, 5
Suppose -13*w = -0*w - 16900. What are the prime factors of w?
2, 5, 13
Let o = -1950 - -2755. Suppose -p + o = 4*p. Suppose 0 = 3*z - p + 50. What are the prime factors of z?
37
Let u = -1739 + 2242. What are the prime factors of u?
503
Suppose 25 = 3*b + 2*b. Suppose 63 = 2*v + z, -b*v + 66 = -3*v + 2*z. What are the prime factors of (-10)/(-4)*192/v?
2
Let o(w) = -w**3 + 7*w**2 + 6*w + 4. Let d be o(8). Let y = d + 12. Suppose j - 42 = -y*j. List the prime factors of j.
2, 3, 7
Let v = 2344 - 1003. List the prime factors of v.
3, 149
Let d(f) = f + 8. Let r be d(0). Let x be ((-4)/(-6))/(r/(-348)). Let y = 59 + x. What are the prime factors of y?
2, 3, 5
Let r = -1647 + 4489. What are the prime factors of r?
2, 7, 29
List the prime factors of (181 + 2)/((-28 - -14)/(-14)).
3, 61
Let d(w) = 8*w**2 + 6*w - 19. What are the prime factors of d(6)?
5, 61
Let u(m) = -m**3 + m**2 + 2*m - 3. Let d be u(2). Let a = d + 3. Suppose 4*h = 3*r - 8*r + 42, -4*h - 8 = a. List the prime factors of r.
2, 5
Let u(w) = w**3 - 2*w**2 + 1. Let o be 2/(-3)*9/6. Let s be u(o). List the prime factors of (3/s)/(21/(-98)).
7
Let b(l) = -l**3 + 8*l**2 - 10*l + 9. Let q be b(6). Suppose i - 155 = -q. Suppose -4*n = -i - 10. List the prime factors of n.
2, 3
Let x(d) be the first derivative of -5*d**2/2 + 37*d + 24. List the prime factors of x(-27).
2, 43
Let y be -5*-1*(-354)/(-15). Suppose 18*w - 20 = 22*w, 5*w - 870 = -5*x. Let u = x - y. List the prime factors of u.
61
List the prime factors of (200/(-8))/(-5) - -1002.
19, 53
Suppose 66*d = 79*d - 19747. List the prime factors of d.
7, 31
Let z be (13/(-2))/((7/6)/(-7)). List the prime factors of (z/(-26))/((-2)/100).
3, 5
Let j(n) = -n**3 - 5*n**2 - n - 3. Let g(x) be the second derivative of x**3/6 - 11*x**2/2 + 4*x. Let z be g(6). What are the prime factors of j(z)?
2
Suppose -5*s = 4*w - 4949, w = -5*s - 765 + 5726. List the prime factors of s.
3, 331
Let t(v) = v**3 + v**2 - 2*v + 494. List the prime factors of t(0).
2, 13, 19
Suppose -9*o - 3 = -6*o, -p - 5*o + 987 = 0. List the prime factors of p.
2, 31
Let z = -841 + 3650. List the prime factors of z.
53
Let i be (-32 + -4)*4/6. Let g be 84/i*-2*1. Suppose b + 3*u = 3, 2*b + g*u - 11 = 2*u. List the prime factors of b.
2, 3
Let o(y) = -y**2 - 4*y - 2. Let b be o(-3). List the prime factors of (1/(3/(-120)))/(-1*b).
2, 5
Let f = 623 - 331. List the prime factors of f.
2, 73
Let h(w) = -32*w**2 - w + 3. Let i be h(-2). Let s = i - -282. What are the prime factors of s?
3, 53
Suppose -7*z = -z + 12. Let u be (-15 - z)*(3 - 4). Suppose -r - 2 = 0, -x = -2*r - 2*r - u. List the prime factors of x.
5
Suppose 16 = 3*r - 7*r. Let k(v) = -2*v + 8. Let b be k(6). What are the prime factors of (r/(b/33))/1?
3, 11
Suppose -5*v = -3*v - 2504. List the prime factors of v.
2, 313
List the prime factors of 5554/6 - 4*(-5)/60.
2, 463
Suppose -4*k + 6*o - 3*o = -2063, 5*k + o = 2574. What are the prime factors of k?
5, 103
Let t(c) = -c**3 + 8*c**2 + 11*c - 5. Suppose 4*r - 30 - 6 = 0. What are the prime factors of t(r)?
13
Let t be (-14208)/(-36) + (-2)/(-6). Let a = t + -133. List the prime factors of a.
2, 131
Let p be (-10)/(-15) - (-691)/3. Suppose -6*f - f = -p. What are the prime factors of f?
3, 11
Let y(c) = -c**3 + 14*c**2 + 46*c - 17. What are the prime factors of y(13)?
2, 3, 5
Let k(x) = x**2 - 7*x + 254. What are the prime factors of k(0)?
2, 127
Suppose -2*w - 2*w = 3*o + 813, -5*w + 3*o - 1023 = 0. Let y = w - -292. Suppose -t = -3*t + y. List the prime factors of t.
2, 11
What are the prime factors of 7 + -5 + 7 + 16?
5
Let g = 6 + -32. Let j = g + -790. List the prime factors of 2/(-10) + j/(-30).
3
Let o(v) = -11*v**2 - 7 + v**3 - 2 + 5*v + 6 - 13. What are the prime factors of o(11)?
3, 13
Let g(t) = t + 3. Let a be g(0). Suppose 2*s + 26 = 4*b, a*b - 5*s - 9 = 28. List the prime factors of b.
2
Let z = 314 - -323. What are the prime factors of z?
7, 13
Suppose 1063 = 2*x - 1269. List the prime factors of x.
2, 11, 53
List the prime factors of (6/9)/(12/(-24210)*-5).
269
What are the prime factors of 6/39 + (-24016)/(-52)?
2, 3, 7, 11
Suppose 31*q - 38*q = -7994. List the prime factors of q.
2, 571
Let p(x) be the first derivative of 2*x**2 + 93*x - 8. List the prime factors of p(0).
3, 31
Suppose -w = 5*k - 7985, 1597 = k - 21*w + 22*w. What are the prime factors of k?
1597
Suppose -57 = 4*w - 4*s + 11, 5*w = -4*s - 121. Let o be 32/6*w/(-4). Let a = 43 + o. What are the prime factors of a?
71
Let p be 3*(-1 - 0) - 12106/(-2). What are the prime factors of p/30 + 2/6?
2, 1 | {
"pile_set_name": "DM Mathematics"
} |
34. Let x(g) be the second derivative of -2*g**3/3 - g. What is x(h(p))?
16*p
Let i(k) = 3*k. Let y be i(3). Let m(s) = -2*s**2 + y - 1 - 8. Let z(f) = -4*f**2. What is z(m(l))?
-16*l**4
Let b(u) = -3*u. Let s(w) = w**2 - 5*w - 6. Let m be s(6). Let k(j) be the second derivative of 0*j**2 + m + 1/6*j**4 - 2*j + 0*j**3. What is k(b(p))?
18*p**2
Let d(m) = 5*m**2 - 9*m. Let p(f) = 134*f. Determine p(d(b)).
670*b**2 - 1206*b
Let b(l) = 37699*l**2. Let f(j) = 2*j. Give f(b(r)).
75398*r**2
Let z(d) be the second derivative of -d**5/12 + d**2/2 - d. Let s(n) be the first derivative of z(n). Let m(o) = -2*o**2. Give s(m(p)).
-20*p**4
Let l(g) = -23107*g. Let j(b) = b**2. Give l(j(a)).
-23107*a**2
Let f(s) = -308*s**2. Let b(u) = -4*u**2. Determine b(f(n)).
-379456*n**4
Let k(m) = -3*m**2. Let p(w) = 48*w**2 + 1. Calculate p(k(b)).
432*b**4 + 1
Let w(h) = 2*h**2. Let n(l) be the second derivative of -5*l**4/12 - 7*l. What is w(n(r))?
50*r**4
Let r(a) = 2*a**2. Suppose 5 = 4*v - 3. Suppose -4 = -5*k + 3*g, -4*g = 5*k - 2*g - 14. Let w(z) = 5*z**2 - k*z + v*z. Determine w(r(t)).
20*t**4
Let z(c) = -2076*c**2. Let y(a) = 3*a. Give z(y(k)).
-18684*k**2
Let b(u) = 3*u**2. Let f(i) be the third derivative of -1/30*i**5 + 0*i**3 + 5*i**2 + 0*i + 0*i**4 + 0. Calculate f(b(n)).
-18*n**4
Let f(h) = 90*h**2 - h. Let o(t) = -2*t. Calculate o(f(a)).
-180*a**2 + 2*a
Let i(x) be the third derivative of x**5/30 + 3*x**2. Let b(y) = -5*y. Calculate b(i(c)).
-10*c**2
Let f(c) = -9*c**2. Let n(k) be the first derivative of k**2/2 - 9. Give f(n(i)).
-9*i**2
Let b(q) = 5*q**2. Let g(s) = 2*s + 5*s - s - 5*s. What is g(b(i))?
5*i**2
Let x(a) = 232*a**2. Let h(p) = -2*p. Calculate h(x(d)).
-464*d**2
Let r(p) = 47*p - 25*p - 18*p. Let d(h) = 4*h**2. Give d(r(y)).
64*y**2
Let m(g) = -g. Let d(i) = -2*i**2 - 34*i + 8. Determine d(m(v)).
-2*v**2 + 34*v + 8
Let m(g) = 303*g. Let j(f) = -9*f. What is m(j(h))?
-2727*h
Let q(y) be the second derivative of -y**3/3 + 2*y. Let d = -2 + 4. Let w(h) = -7*h - 2*h + d*h + h. Determine w(q(t)).
12*t
Let d(s) = s**2 - 137*s. Let u(g) = 32*g. Determine d(u(i)).
1024*i**2 - 4384*i
Let d(c) = c - 75. Let a(w) = w**2. Determine a(d(p)).
p**2 - 150*p + 5625
Let v(u) = -150 + 150 - u**2. Let z(s) = -5*s. Calculate v(z(f)).
-25*f**2
Let h(c) = -c**2 + 4*c. Suppose 2 = -z + 6. Let y(x) = -x. Let k(q) = z*y(q) + h(q). Let a(g) = 2*g. What is k(a(f))?
-4*f**2
Let n(y) = y**2. Let f(m) = -m**2 + 5*m - 3. Suppose 4*c = 3*x - 10, -4*c = 5*x - c - 7. Let i be f(x). Let l(q) = q - 3 + i. Calculate l(n(z)).
z**2
Let c be 2 + -1 + 12/(-3). Let j(t) = 0*t + 2*t - 9*t. Let o(p) = -p. Let a(d) = c*j(d) + 24*o(d). Let g(v) = 2*v**2. Give a(g(r)).
-6*r**2
Let y(r) = r**2 + 10*r. Let q(g) = 24*g**2. Give q(y(j)).
24*j**4 + 480*j**3 + 2400*j**2
Let g(i) = -i. Let r(u) = u**2 + u. Let t be r(0). Let n(c) be the third derivative of -2*c**2 + t + 1/30*c**5 + 0*c + 0*c**4 + 0*c**3. What is n(g(y))?
2*y**2
Let r(h) = 2*h**2 + 3*h**2 - 2*h**2. Let p(l) = -2*l**2. What is p(r(i))?
-18*i**4
Let t(f) = 5*f**2. Let g(l) = 108*l**2. What is t(g(r))?
58320*r**4
Let y(z) = 15333*z**2. Let m(o) = -o**2. Determine m(y(i)).
-235100889*i**4
Let g(k) = -3*k**2. Let d(f) = 4*f**2. Let a(h) = -18*h - h**2 + 18*h. Let v(j) = 6*a(j) + d(j). Give v(g(o)).
-18*o**4
Let u(q) = -4*q**2 + q**2 - q**2. Let w(r) = 1. Let y(o) = -o + 4. Let k(b) = -4*w(b) + y(b). Determine u(k(f)).
-4*f**2
Let y(i) = -i**2 - 10*i + 7. Let z be y(-10). Let m(r) = -7*r + 3*r + z*r. Let f(o) = -2*o**2. Calculate f(m(n)).
-18*n**2
Let f(n) be the second derivative of 0*n**3 + 0 - n - 1/2*n**2 - 1/12*n**4. Let c(s) be the first derivative of f(s). Let p(a) = a. Calculate c(p(j)).
-2*j
Let o(g) = -6*g. Let l(z) be the first derivative of -z**3/3 + 5. Calculate o(l(a)).
6*a**2
Let o(t) = 2*t + t + 3*t. Let a(n) = -7 - 2*n**2 + 2 + 5. Calculate a(o(h)).
-72*h**2
Let u(f) = 12*f**2 - 15*f + 15. Let n(z) = -3*z**2 + 4*z - 4. Let w(l) = -15*n(l) - 4*u(l). Let a = 9 + -6. Let v(c) = -2*c**2 + 6*c**2 - a*c**2. Give v(w(x)).
9*x**4
Let r(x) = x**2 + 2*x**2 - 5*x**2. Let u(t) = -4*t. Give u(r(b)).
8*b**2
Let m(c) = 3*c. Let f(t) = t. Let l(z) = -11*f(z) + 4*m(z). Let s(j) = 14*j**2. Give s(l(q)).
14*q**2
Let z(l) = l - 1. Let d(b) = -14*b + 12. Let p(c) = -d(c) - 12*z(c). Let s(m) = m**2. What is p(s(a))?
2*a**2
Let m(k) = -k. Let j(y) = -1722 + 1722 + 5*y. Calculate m(j(n)).
-5*n
Let u(l) = 267*l - 1. Let p(x) = x. What is p(u(h))?
267*h - 1
Let r(t) be the third derivative of t**4/12 + t**2. Let x(o) = o**2 - 5*o + 6. Let i be x(4). Let y(s) = i*s + 4*s - 4*s. Give y(r(j)).
4*j
Let i(z) = 11*z**2 + 2. Let y(o) = 7*o**2. Calculate y(i(h)).
847*h**4 + 308*h**2 + 28
Let q(w) = 258*w. Let b(i) = 3*i. Give q(b(z)).
774*z
Let l(s) = -27*s**2. Let r(m) be the third derivative of -m**4/12 - 33*m**2. What is r(l(t))?
54*t**2
Let l(c) = c**2. Let j(b) = 299*b**2. Give l(j(n)).
89401*n**4
Let m(o) = -27*o**2. Let w(u) = -2*u. Determine w(m(j)).
54*j**2
Let b be (-2)/((-9)/6 - -1). Let m(z) = 0*z + z - z - b*z. Let q(g) = 2*g. Give m(q(w)).
-8*w
Let j(s) be the second derivative of s**3/3 - 2*s. Let u(a) = 5*a - 32 + 32. Give j(u(g)).
10*g
Let t(f) = f. Let a(m) = m**2 + m + 51. Give t(a(s)).
s**2 + s + 51
Let u(f) = 3*f**2. Let g = 3 + -6. Let y(i) = i + 1. Let l(r) = -4*r - 3. Let d(h) = g*y(h) - l(h). Determine u(d(x)).
3*x**2
Let r(t) = 112*t**2. Let z(d) = 5*d. What is r(z(f))?
2800*f**2
Let r(c) = c**2. Let j(p) = -40*p**2. Calculate r(j(w)).
1600*w**4
Let d(v) = 18*v**2. Let u(b) = -b + 11. Calculate u(d(l)).
-18*l**2 + 11
Suppose u + 4*u + 40 = 0. Let n(z) = -6*z**2 + 8*z + 8. Let r(c) = -c**2 + c + 1. Let q(y) = u*r(y) + n(y). Let v(a) = 5*a. What is v(q(w))?
10*w**2
Let q(j) = 10*j**2. Let i(o) = 3*o**2. Let u(s) = 7*i(s) - 2*q(s). Let n(p) = p + 0*p + 5*p. Give u(n(k)).
36*k**2
Let j be (0/2 + 8)/2. Let r be (j + -2)/(6/9). Let x(b) = -4*b - r*b + 4*b. Let d(g) = 2*g**2. Calculate d(x(t)).
18*t**2
Let z(l) = -4*l + 8. Let h(a) = -3*a + 5. Let y(f) = 8*h(f) - 5*z(f). Let x(v) = -2*v**2. Determine y(x(g)).
8*g**2
Let z(s) = 5*s. Let x(a) = -6*a - 2. Determine x(z(j)).
-30*j - 2
Let v(c) = 2*c. Let x(u) be the first derivative of -89*u**3/3 + u**2 + 30. What is x(v(h))?
-356*h**2 + 4*h
Let h = 12 - 9. Let t(y) = 2*y + y - h*y + 4*y. Let r(s) = -s. What is t(r(m))?
-4*m
Let l(d) = -197*d**2 - 1. Let z(u) = 6*u. Calculate z(l(s)).
-1182*s**2 - 6
Let c(o) = -7*o**2. Let d(s) = -257*s. Give c(d(g)).
-462343*g**2
Let a(d) = d + 88. Let n(y) = 16*y**2. Determine n(a(f)).
16*f**2 + 2816*f + 123904
Let f(m) = 4*m. Let w(i) be the third derivative of i**5/60 - 7*i**2. What is f(w(h))?
4*h**2
Let w(b) be the second derivative of 0*b**2 - 1/12*b**4 - 3*b + 0*b**3 + 0. Let c(g) = 2*g. Calculate c(w(y)).
-2*y**2
Let c(u) = -2*u. Let g(s) be the third derivative of s**5/40 + s**3/6 - s**2. Let h(a) be the first derivative of g(a). Give h(c(t)).
-6*t
Let x(s) = -s**2 + 4*s**2 - 2*s**2. Let k(z) = -15*z + 5. Let h(j) = j - 1. Let q(i) = 5*h(i) + k(i). Give x(q(r)).
100*r**2
Let p(i) = 7*i**2. Suppose 6*s = 4*s + 6. Let d(q) = 2*q**2 + 2. Let f(h) = 2*h**2 + 3. Let c(z) = s*d(z) - 2*f(z). Determine p(c(o)).
28*o**4
Let b(a) = a - 2. Let w(d) = d. What is w(b(x))?
x - 2
Let h(r) = 40*r. Let a(z) = -z. Give h(a(l)).
-40*l
Let w(g) = -82*g. Let z(s) = -11*s**2 + 5. What is z(w(u))?
-73964*u**2 + 5
Let h(s) be the first derivative of s**2 - 1. Let m(i) = -21 + i**2 - 25 + 46. What is m(h(k))?
4*k**2
Let m(g) = -g**2. Let p(f) = 2*f - 7652. Determine p(m(x)).
-2*x**2 - 7652
Let l(t) = -2122*t. Let g(s) = 3*s**2. Determine g(l(z)).
13508652*z**2
Let s(h) = -h**2 - 2*h + 2. Let d = 11 + -6. Let q(n) = d*n**2 - 11 + 4*n**2 + 11*n - 3*n**2. Let w(u) = -2*q(u) - 11*s(u). Let r(x) = -x**2. What is w(r(y))?
-y**4
Let h(x) be the second derivative of -x**4/12 + 6*x. Let z(k) = 14*k**2. Determine h(z(g)).
-196*g**4
Let n(o) = -2*o**2 + 4*o. Let m(s) = s**2 - 3*s. Let p(c) = -4*m(c) - 3*n(c). Let x(l) = 11*l. Give x(p(y)).
22*y**2
Let m(c) = 2*c - 100. Let k(q) = -4*q**2. Give k(m(d)).
-16*d**2 + 1600*d - 40000
Let t(i) = -7*i**2 + 0*i**2 + 8*i**2. Let u(a) = 13*a + 2. What is u(t(v))?
13*v**2 + 2
Let v(k) = -3*k + 7. Let n(o) = 8*o**2. What is v(n(q)) | {
"pile_set_name": "DM Mathematics"
} |
k**2 + 2
Suppose -4*i + 94 = 22. Let h(f) = -f**2 + 1. Let k(u) be the third derivative of -u**6/120 + 2*u**5/15 - 3*u**3/2 - 12*u**2. Calculate i*h(j) + 2*k(j).
-2*j**3 - 2*j**2
Let b(a) = 8*a + 5. Let m(g) = 24*g + 16. Calculate 10*b(l) - 3*m(l).
8*l + 2
Let b(t) = -t**3 + 5*t**2 - 7*t + 6. Let p be b(4). Let i be (p/10)/(1/5). Let h(v) = -v - 2. Let x(m) = 2*m + 3. Determine i*h(r) - 2*x(r).
-r
Let w(x) = -x**2 + 1. Let g(z) = -2*z**3 + 5*z**2 + 2*z - 4. Let y = 27 - 28. What is y*g(j) - 4*w(j)?
2*j**3 - j**2 - 2*j
Let q(r) = r**2 - r + 1. Let v(u) be the third derivative of -7*u**5/60 + u**4/8 - u**3/3 + 43*u**2. Calculate -5*q(i) - v(i).
2*i**2 + 2*i - 3
Let t(m) = -m**2 + 1. Let n(k) = -4*k**3 + 3*k**2 - 3. Calculate 4*n(h) + 12*t(h).
-16*h**3
Suppose 0*y + 9 = y. Let a(x) = 11*x - 4. Let p(r) = -5*r + 2. Give y*p(i) + 4*a(i).
-i + 2
Let h(c) = -95*c + 97*c + 2 - c**2 - c**2. Let m(f) = f**2 - f - 1. Calculate -3*h(d) - 4*m(d).
2*d**2 - 2*d - 2
Let k(y) = -16*y**3 - 40*y**2 + 11*y - 21. Let h(i) = -3*i**3 - 8*i**2 + 2*i - 4. Calculate -11*h(n) + 2*k(n).
n**3 + 8*n**2 + 2
Let z = 36 + 2. Let j be (-5 - -4)/((-2)/z). Suppose -j = 5*n + 11. Let r(x) = -7*x**2 - 2*x + 8. Let u(d) = -d**2 + 1. Determine n*u(p) + r(p).
-p**2 - 2*p + 2
Let c(a) = -6*a. Let t(q) = 1. Determine c(u) + t(u).
-6*u + 1
Let p(y) = 11*y**2 - 2*y + 5. Let u(k) = -k**2 + 12*k**2 - 2*k - k**2 + 4. Give 4*p(d) - 5*u(d).
-6*d**2 + 2*d
Let h(r) = 3*r + 23. Let g(j) = -j - 8. Give -17*g(k) - 6*h(k).
-k - 2
Let z(x) = -6*x**3 + 4*x - 7. Let j(s) = 2*s**3 - s + 2. Calculate -14*j(k) - 4*z(k).
-4*k**3 - 2*k
Let u(r) = r**2 + 2*r. Let y(z) = -z - 9. Let w be y(9). Let h(d) = -4*d**2 - 9*d. Determine w*u(c) - 4*h(c).
-2*c**2
Let f(k) be the third derivative of -7*k**6/120 + k**5/10 - k**3 - 4*k**2. Let n(a) = 20*a**3 - 17*a**2 + 17. Give -17*f(x) - 6*n(x).
-x**3
Let r = 71 + -75. Let u(j) = -j**3 + j**2 + j - 1. Let s(p) = -5*p**3 + 4*p**2 + 4*p - 2. Calculate r*u(w) + s(w).
-w**3 + 2
Let i(v) = 2*v**2 + 4*v - 2. Let p be 4/(-14) - (-36)/28. Let n(q) = -2 - q**2 - 2*q + 1 + p + 1. Let u = -11 + 7. Calculate u*i(d) - 9*n(d).
d**2 + 2*d - 1
Let a(y) = -44*y**3 - 14*y**2 + 14*y - 14. Let g(s) = 27*s**2 + 3 - 8*s**2 - 3*s + 9*s**3 - 16*s**2. Give 3*a(c) + 14*g(c).
-6*c**3
Let m(r) = -1. Let u(b) = 2*b - 8. Let f(z) = -2*z - 5. Let l be f(-3). What is l*u(x) - 6*m(x)?
2*x - 2
Let a(u) = 5*u**3 + 6*u**2 - u. Let c(y) = 14*y**3 + 17*y**2 - 3*y. Determine 17*a(p) - 6*c(p).
p**3 + p
Let q(d) = -13*d + 4. Let l(f) = -2*f. Determine 14*l(i) - 2*q(i).
-2*i - 8
Let t(a) = -15*a - 11. Let q(w) = -5*w - 4. Let p(g) = 7*q(g) - 2*t(g). Let k(n) = -2*n - 3. Calculate -9*k(v) + 4*p(v).
-2*v + 3
Let f(v) = -8*v**2 - 8*v + 5. Suppose 3*m - 6 = 2*m. Let u(h) = -6 - 8*h**2 + 10*h - h + 17*h**2. Determine m*u(w) + 7*f(w).
-2*w**2 - 2*w - 1
Let g(o) = -9*o**2 - 2*o + 3. Let r(p) = -26*p**2 - 6*p + 9. Determine -17*g(t) + 6*r(t).
-3*t**2 - 2*t + 3
Let p(o) be the first derivative of 3*o**4/4 + 3*o**2/2 - 2*o - 13. Let q(f) = -f**3 - f. Calculate -p(n) - 2*q(n).
-n**3 - n + 2
Let w(r) be the first derivative of -r**3/3 - 2*r**2 + 2*r - 2. Let a be (-20)/(-15)*3/(-2). Let p(z) = 6*z**2 + 21*z - 11. Give a*p(y) - 11*w(y).
-y**2 + 2*y
Let i(f) be the second derivative of -3*f**5/20 + 11*f**3/6 + 11*f**2/2 - 14*f. Let c(r) = r**3 - 4*r - 4. Calculate -11*c(w) - 4*i(w).
w**3
Let g(s) = -s**2 - 2*s + 6. Let c(r) = -r - 1. Give -c(h) + g(h).
-h**2 - h + 7
Let g(j) = -2*j**2 - 6*j + 2. Let h be (1/3)/(12/180). Let o(q) = -2*q**2 - 5*q + 2. Determine h*g(p) - 6*o(p).
2*p**2 - 2
Let p(s) = -3*s**3 + 5*s**2 - 2. Let a(y) = -y**2 + 1. Determine -3*a(g) - p(g).
3*g**3 - 2*g**2 - 1
Let j(l) = -5*l**2 + 2*l - 3. Let c(o) = o**2 + 1. Calculate 6*c(w) + j(w).
w**2 + 2*w + 3
Let k(i) = -6*i**2 + 10*i + 2. Let m(t) = t**2 - t. Give -k(z) - 3*m(z).
3*z**2 - 7*z - 2
Let a(n) = 3*n**3 + 2*n**2. Let g be -65*3/27 + 2/9. Let o(p) = -10*p**3 - 7*p**2. Calculate g*a(b) - 2*o(b).
-b**3
Let u(o) = 23*o + 13. Let v(c) = -8*c - 4. Give 2*u(b) + 7*v(b).
-10*b - 2
Let s(g) = -g + 1. Let o(w) = w. What is o(l) + 2*s(l)?
-l + 2
Let d(r) = r - 1. Let q(g) = -g**3 + 6*g - 7. Suppose -6*t + 1 - 7 = 0. Determine t*q(z) + 5*d(z).
z**3 - z + 2
Let u(k) = -17*k - 1. Let w(z) = -84*z - 4. Calculate -14*u(j) + 3*w(j).
-14*j + 2
Let p(c) = 2*c**2 + 3*c + 5. Let d = -8 - -12. Suppose -13 = -d*k - 1. Let z(j) = 5*j**2 + 8*j + 14. Determine k*z(s) - 8*p(s).
-s**2 + 2
Let w(t) = -11 + t - t**3 + t**2 + 2 + 8. Let i(k) = 6*k**2 + 6*k - 6. Determine -i(s) + 6*w(s).
-6*s**3
Let z = -4 + 2. Let s(u) = -2*u + 2. Let q(k) = -k**2 + 6*k + 17. Let a be q(9). Let y be ((-42)/35)/(4/a). Let j(g) = -g + 2. Determine y*j(m) + z*s(m).
m + 2
Let z(s) = 2*s**3 - 2*s**2 + 6*s - 7. Let p(n) = -4*n**3 + 4*n**2 - 11*n + 13. Determine -4*p(b) - 7*z(b).
2*b**3 - 2*b**2 + 2*b - 3
Let b(u) = u + 1. Let t(x) = x**2 - 6*x + 3. Let r be t(4). Let m(f) = -2*f - 2. Calculate r*m(l) - 12*b(l).
-2*l - 2
Let g(k) be the third derivative of 7*k**5/30 - 17*k**4/24 - 17*k**3/6 + 13*k**2. Let z(i) = 5*i**2 - 6*i - 6. What is 6*g(l) - 17*z(l)?
-l**2
Let j = 43 + -45. Let c(p) = p**2 - p. Let h(l) = 3*l**2 - 2*l + 2. Calculate j*c(n) + h(n).
n**2 + 2
Let z = 7 - 3. Let g be 3 + (-6 - 1) - -1. Let v(b) be the first derivative of -2*b**3/3 - 1. Let y(a) = -2*a**2. Give g*v(x) + z*y(x).
-2*x**2
Let l(n) = -2*n**2 - 3*n. Let h(b) = -7*b**2 - 11*b + 1. Give 6*h(j) - 22*l(j).
2*j**2 + 6
Let n(f) = -4*f - 2. Let z be 0/((-6)/3 - -4). Suppose -3*h + h + 10 = z. Let i(p) = -5*p - 2. Give h*i(l) - 6*n(l).
-l + 2
Let k(t) = -t. Let j(g) = -19*g + 11. Let r(u) = j(u) - 4*k(u). Let m(h) = -4*h + 3. Suppose 48 = 435*o - 443*o. Give o*r(c) + 22*m(c).
2*c
Let c(s) = 7*s**2 - 5. Let n(m) = -3*m**2 + 2. Let h be -4 + (-7)/((-14)/4). Give h*c(f) - 5*n(f).
f**2
Let u(z) = 8*z - 5. Let k(s) = s - 1. Calculate 14*k(b) - 2*u(b).
-2*b - 4
Let c = -78 - -82. Let l(x) = -7*x - 2. Let t(q) = 6*q + 1. Give c*l(k) + 5*t(k).
2*k - 3
Let y(c) = -7*c**2 + 4*c + 4. Let q(l) be the third derivative of 0*l + 7/6*l**3 - 7*l**2 + 0 - 13/60*l**5 + 7/24*l**4. Calculate 4*q(a) - 7*y(a).
-3*a**2
Let o(b) = 174*b - 29. Let y(w) = 35*w - 6. Give -6*o(n) + 29*y(n).
-29*n
Let a(l) = -l**3 + 6*l**2. Let p(h) = 2*h**3 - 6*h**2 + h. What is 4*a(b) + 3*p(b)?
2*b**3 + 6*b**2 + 3*b
Let x(f) = 21*f**2 + 28*f. Let o(n) = n**2 + n. Give -28*o(d) + x(d).
-7*d**2
Let o(r) = -5*r**2 + 3*r + 3. Let d(p) = 4*p**2 - 2*p - 2. Let z(k) = 6*d(k) + 5*o(k). Let n(u) = u + 1. Give 6*n(m) - 2*z(m).
2*m**2
Let s(f) = 9*f + 3. Let q(u) = -u. Give -3*q(z) - s(z).
-6*z - 3
Let q(d) = 1. Let h(g) = 6*g + 2. Let k(x) = h(x) - 3*q(x). Let u(m) = -m. Calculate -k(i) - 4*u(i).
-2*i + 1
Let x(s) = 1. Let z be 2/20 - (-49)/10. Let r(a) = 2*a - 4. Let t(y) = -y - 7. Suppose 0 = -2*v - 15 - 1. Let o be t(v). Calculate o*r(n) + z*x(n).
2*n + 1
Let v(u) = -8 - 48*u**3 - 17 - 12*u**3 - 25*u. Let t(g) = -5*g**3 - 2*g - 2. Calculate 25*t(y) - 2*v(y).
-5*y**3
Let r(u) = -3*u**2 + 5*u + 2. Let t(d) = -2*d**2 + 4*d + 2. Determine -4*r(g) + 5*t(g).
2*g**2 + 2
Suppose 4*n - 14 = -6. Let j(f) = 4*f. Let u(v) = 5*v. Let b(z) = -z**2 + 5*z + 3. Let q be b(6). Give n*u(d) + q*j(d).
-2*d
Let n = -1 + 3. Suppose 3*j + 2*r = 6*j + 3, 3*j - 6 = 5*r. Let y(g) = 2*g**3 + 3*g**2 + 3*g - 3. Let s(c) = c**3 + 2*c**2 + 2*c - 2. What is j*s(x) + n*y(x)?
x**3
Let k(v) = -9*v**2 + 5*v - 4. Suppose 1 = -5*n + 11. Let t(d) = 4*d**2 - 2*d + 2. Calculate n*k(m) + 5*t(m).
2*m**2 + 2
Let o = 9 - 6. Let i = -3 - o. Let x(r) = -2*r**3 + 2*r**2 - 6*r - 6. Let s(l) = -2*l**3 + 2*l**2 - 7*l - 7. Calculate i*s(d) + 7*x(d).
-2*d**3 + 2*d**2
Let l(j) = -j**3 + 5*j**2 - 5*j + 5. Let r be l(4). Let f(d) = 1 + 8*d - r + 7. Let k(g) = g + 1. Let h(p) = -6*p + 4. Let i be h(3). Determine i*k(w) + 2*f(w).
2*w
Let k(f) = -30*f**2 - 21*f - 36. Let x(a) = 6*a**2 + 4*a + 7. Determine -2*k(g) - 11*x(g).
-6*g**2 - 2*g - 5
Let z(d) = -15*d**3 + 3*d - 3. Let w(l) = 15*l**3 - 2*l + 2. What is 3*w(h) + 2*z(h)?
15*h**3
Let k(r) = -r**2 - 2*r. Let z = -3 + 1. Let n(a) be the second derivative of a**4/12 + a**3/6 - a**2/2 + 14*a. Determine z*n(t) - k(t).
-t**2 + 2
Let a(s) = s - 2. Suppose -5 = j + v, -3*v - 5 = 2*j + 10. | {
"pile_set_name": "DM Mathematics"
} |
**2 - 22
What is the z'th term of -246, -447, -648, -849?
-201*z - 45
What is the g'th term of 87, 69, 61, 63?
5*g**2 - 33*g + 115
What is the l'th term of -6908, -6895, -6882, -6869?
13*l - 6921
What is the a'th term of 16709, 16719, 16731, 16745?
a**2 + 7*a + 16701
What is the c'th term of 255914, 255913, 255912, 255911, 255910?
-c + 255915
What is the l'th term of -59, -425, -1415, -3341, -6515, -11249, -17855?
-52*l**3 - 2*l - 5
What is the o'th term of -9570, -9558, -9550, -9546, -9546?
-2*o**2 + 18*o - 9586
What is the d'th term of -5653624, -5653629, -5653636, -5653645, -5653656, -5653669, -5653684?
-d**2 - 2*d - 5653621
What is the r'th term of 5476, 5456, 5422, 5374, 5312, 5236, 5146?
-7*r**2 + r + 5482
What is the a'th term of 2658, 10865, 24538, 43671, 68258?
-a**3 + 2739*a**2 - 3*a - 77
What is the g'th term of 226, 502, 786, 1084, 1402?
g**3 - 2*g**2 + 275*g - 48
What is the v'th term of 17283, 34584, 51885, 69186, 86487, 103788?
17301*v - 18
What is the s'th term of 14245, 13889, 13297, 12469?
-118*s**2 - 2*s + 14365
What is the j'th term of -500, -494, -486, -476?
j**2 + 3*j - 504
What is the p'th term of -56110, -56113, -56116?
-3*p - 56107
What is the j'th term of -9321, -18646, -27969, -37290, -46609?
j**2 - 9328*j + 6
What is the u'th term of -170, -634, -1382, -2408, -3706, -5270, -7094, -9172?
u**3 - 148*u**2 - 27*u + 4
What is the o'th term of 108, 269, 480, 735, 1028, 1353, 1704, 2075?
-o**3 + 31*o**2 + 75*o + 3
What is the f'th term of 3980, 8027, 12222, 16637, 21344, 26415, 31922, 37937?
12*f**3 + 2*f**2 + 3957*f + 9
What is the f'th term of 34889, 34893, 34897, 34901, 34905, 34909?
4*f + 34885
What is the y'th term of -7632, -15313, -23040, -30819, -38656, -46557, -54528, -62575?
-y**3 - 17*y**2 - 7623*y + 9
What is the o'th term of 163, 114, -31, -320, -801?
-8*o**3 + 7*o + 164
What is the m'th term of 648, 796, 960, 1140?
8*m**2 + 124*m + 516
What is the p'th term of -4140, -4328, -4530, -4752, -5000, -5280, -5598?
-p**3 - p**2 - 178*p - 3960
What is the j'th term of -1952, -1951, -1950, -1949, -1948?
j - 1953
What is the a'th term of 3107, 3106, 3105, 3104, 3103, 3102?
-a + 3108
What is the s'th term of 956, 1872, 2788?
916*s + 40
What is the b'th term of 3648, 7298, 10948, 14598, 18248, 21898?
3650*b - 2
What is the w'th term of -41, -48, -63, -86?
-4*w**2 + 5*w - 42
What is the p'th term of 19078, 19076, 19074, 19072?
-2*p + 19080
What is the y'th term of 71953, 143943, 215937, 287935, 359937?
2*y**2 + 71984*y - 33
What is the j'th term of 1352048, 2704095, 4056142, 5408189, 6760236, 8112283?
1352047*j + 1
What is the i'th term of -324307, -324306, -324305?
i - 324308
What is the j'th term of 4776, 9555, 14334, 19113, 23892?
4779*j - 3
What is the m'th term of -2778, -5563, -8348, -11133, -13918?
-2785*m + 7
What is the r'th term of -5682, -11363, -17022, -22647, -28226, -33747, -39198, -44567?
2*r**3 - r**2 - 5692*r + 9
What is the w'th term of -1759, -3491, -5171, -6769, -8255, -9599, -10771?
5*w**3 - 4*w**2 - 1755*w - 5
What is the o'th term of 62317, 62314, 62311, 62308, 62305, 62302?
-3*o + 62320
What is the b'th term of 13923, 27842, 41761?
13919*b + 4
What is the h'th term of -1887, -5215, -10761, -18525, -28507, -40707, -55125?
-1109*h**2 - h - 777
What is the r'th term of 245884, 245879, 245870, 245857, 245840, 245819?
-2*r**2 + r + 245885
What is the o'th term of 740, 2907, 6518, 11573, 18072, 26015, 35402?
722*o**2 + o + 17
What is the l'th term of -118873, -237760, -356647?
-118887*l + 14
What is the r'th term of -59935, -59934, -59933, -59932?
r - 59936
What is the u'th term of -900, -1815, -2746, -3699, -4680, -5695?
-u**3 - 2*u**2 - 902*u + 5
What is the s'th term of 1221, 2661, 4317, 6189, 8277?
108*s**2 + 1116*s - 3
What is the s'th term of -300, -598, -894, -1188, -1480, -1770, -2058?
s**2 - 301*s
What is the q'th term of -733, -2926, -6573, -11668, -18205, -26178, -35581?
q**3 - 733*q**2 - q
What is the u'th term of -362458, -724935, -1087428, -1449943, -1812486, -2175063?
-u**3 - 2*u**2 - 362464*u + 9
What is the q'th term of 727, 1614, 2501, 3388?
887*q - 160
What is the r'th term of 2421, 4851, 7281, 9711, 12141?
2430*r - 9
What is the k'th term of 1202, 1703, 2198, 2681, 3146?
-k**3 + 3*k**2 + 499*k + 701
What is the h'th term of 1768, 1812, 1858, 1906, 1956?
h**2 + 41*h + 1726
What is the m'th term of -246, -254, -268, -288, -314?
-3*m**2 + m - 244
What is the m'th term of 1247, 2507, 3753, 4979, 6179, 7347?
-m**3 - m**2 + 1270*m - 21
What is the a'th term of -1448, -1403, -1360, -1319, -1280, -1243?
-a**2 + 48*a - 1495
What is the q'th term of -40375, -40364, -40353, -40342, -40331, -40320?
11*q - 40386
What is the j'th term of 3387, 3300, 3213, 3126, 3039?
-87*j + 3474
What is the n'th term of 1281, 1230, 1175, 1116?
-2*n**2 - 45*n + 1328
What is the z'th term of -3430, -3446, -3468, -3496?
-3*z**2 - 7*z - 3420
What is the l'th term of -12, -103, -266, -501, -808?
-36*l**2 + 17*l + 7
What is the o'th term of -600, -573, -548, -525, -504, -485, -468?
-o**2 + 30*o - 629
What is the g'th term of -10254, -41036, -92338, -164160, -256502, -369364?
-10260*g**2 - 2*g + 8
What is the u'th term of -60, -743, -1874, -3453, -5480, -7955?
-224*u**2 - 11*u + 175
What is the i'th term of 9507, 38103, 85785, 152553, 238407?
9543*i**2 - 33*i - 3
What is the b'th term of 2948, 2940, 2926, 2906?
-3*b**2 + b + 2950
What is the p'th term of -256, -524, -792?
-268*p + 12
What is the h'th term of -1237, -1223, -1221, -1237, -1277, -1347, -1453?
-h**3 + 21*h - 1257
What is the w'th term of 6391, 6386, 6381, 6376, 6371, 6366?
-5*w + 6396
What is the d'th term of 70735, 70736, 70737, 70738, 70739, 70740?
d + 70734
What is the t'th term of 2327, 4645, 6961, 9275, 11587, 13897, 16205?
-t**2 + 2321*t + 7
What is the a'th term of -610, -2449, -5510, -9787, -15274, -21965, -29854?
a**3 - 617*a**2 + 5*a + 1
What is the o'th term of 94, 293, 602, 1021, 1550, 2189?
55*o**2 + 34*o + 5
What is the i'th term of -4234, -8266, -12298, -16330?
-4032*i - 202
What is the o'th term of -765702, -765693, -765678, -765657, -765630, -765597?
3*o**2 - 765705
What is the b'th term of 183213, 183214, 183215, 183216?
b + 183212
What is the q'th term of 410, 423, 450, 491, 546, 615, 698?
7*q**2 - 8*q + 411
What is the j'th term of 152979, 305966, 458953, 611940?
152987*j - 8
What is the n'th term of 4137, 32413, 109159, 258609, 504997, 872557, 1385523?
4039*n**3 + n**2 + 97
What is the o'th term of 92463, 184939, 277415, 369891, 462367?
92476*o - 13
What is the u'th term of 289, 423, 557?
134*u + 155
What is the h'th term of -36392, -72784, -109176, -145568?
-36392*h
What is the z'th term of 34704, 138806, 312302, 555186, 867452, 1249094, 1700106, 2220482?
-z**3 + 34703*z**2 + 2
What is the p'th term of -166, -785, -1816, -3259, -5114, -7381, -10060?
-206*p**2 - p + 41
What is the p'th term of 12, 1, -52, -171, -380, -703?
-4*p**3 + 3*p**2 + 8*p + 5
What is the z'th term of 297, 591, 863, 1101, 1293, 1427?
-2*z**3 + z**2 + 305*z - 7
What is the v'th term of -48806, -48808, -48810, -48812, -48814?
-2*v - 48804
What is the c'th term of -139, -564, -1255, -2188, -3339, -4684?
4*c**3 - 157*c**2 + 18*c - 4
What is the m'th term of -31982, -63957, -95930, -127901, -159870, -191837?
m**2 - 31978*m - 5
What is the x'th term of 30174, 60344, 90514?
30170*x + 4
What is the b'th term of -89573, -89573, -89571, -89567?
b**2 - 3*b - 89571
What is the h'th term of 48638, 48597, 48520, 48401, 48234?
-h**3 - 12*h**2 + 2*h + 48649
What is the i'th term of -749, -2902, -6497, -11540, -18037, -25994?
-i**3 - 715*i**2 - i - 32
What is the r'th term of -89, -111, -153, -215, -297, -399, -521?
-10*r**2 + 8*r - 87
What is the z'th term of 96, 799, 2748, 6573, 12904, 22371?
105*z**3 - 7*z**2 - 11*z + 9
What is the a'th term of -603, -551, -499, -447, -395, -343?
52*a - 655
What is the g'th term of -22650, -22645, -22638, -22629, -22618?
g**2 + 2*g - 22653
What is the o'th term of 328, 698, 1068, 1438, 1808, 2178?
370*o - 42
What is the m'th term of -618, -577, -530, -477, -418, -353, -282?
3*m**2 + 32*m - 653
What is the x'th term of -349, -557, -765, -973, -1181?
-208*x - 141
What is the g'th term of -383, -1046, -1959, -3122, -4535, -6198?
-125*g**2 - 28 | {
"pile_set_name": "DM Mathematics"
} |
. Factor b(m).
-2*(m + 1470)**2/5
Let a be (-879)/(-1172)*(-16)/(-18). Let m(t) be the third derivative of -2/3*t**3 + a*t**4 - 2/5*t**5 + 0 + t**2 + 2/15*t**6 + 0*t - 2/105*t**7. Factor m(s).
-4*(s - 1)**4
Let v(p) be the first derivative of -50 + 0*p**2 - 4/7*p**3 - 3/28*p**4 + 0*p. Solve v(n) = 0 for n.
-4, 0
Let g(h) = -7*h**3 + 411*h**2 - 1193*h + 807. Let f(x) = x**3 - x**2 - x - 5. Let i(m) = -3*f(m) - g(m). Find o, given that i(o) = 0.
1, 2, 99
Let f be 232/70*(3 + 72/(-32)). Let o = f - -5/7. Factor -16/5*s - 4/5*s**2 - o.
-4*(s + 2)**2/5
Let m(f) = -f**2 - 2*f + 2069. Let l be m(44). Let j(y) be the second derivative of -16/3*y**3 - 1/3*y**4 + 0*y**2 - 1 + l*y. Factor j(c).
-4*c*(c + 8)
Let c = 29715787/272265 + -1/38895. Let h = -4409/42 + c. Factor 35/6*o**2 + h*o - 5/3.
5*(o + 1)*(7*o - 2)/6
Factor 3/8*c**5 + 0 + 3/2*c**4 + 0*c + 0*c**2 + 9/8*c**3.
3*c**3*(c + 1)*(c + 3)/8
Suppose 0 = -4*m + p - 76 + 242, -6 = -3*p. Suppose 26*g = m*g. Determine n, given that 0*n**3 + 1/7*n**4 + g - 3/7*n**2 - 2/7*n = 0.
-1, 0, 2
Suppose -42*l = -36*l + 3096. Let n = l + 521. Find g such that -15 + n*g + 25/3*g**2 + 5/3*g**3 = 0.
-3, 1
Let x(d) be the second derivative of -29*d**2 - 42*d - 19*d**3 + 0 - 9/2*d**4 + 1/10*d**5. Factor x(y).
2*(y - 29)*(y + 1)**2
Let a(h) be the third derivative of -h**6 - h**5/20 + 20*h**4 + 2*h**3 - 45*h**2 - 1. Factor a(l).
-3*(l - 2)*(l + 2)*(40*l + 1)
Let o = 0 - -4. Let x = -125823 - -125823. Factor 128*n + 1/4*n**o + 48*n**2 + 6*n**3 + x.
n*(n + 8)**3/4
Let d(t) be the first derivative of -10*t**2 + 265/2*t**5 + 46 - 50/3*t**3 + 0*t + 875/12*t**6 + 195/4*t**4. Suppose d(c) = 0. What is c?
-1, -2/5, 0, 2/7
Let m be (4 - 3)*0/(5 - -2). Suppose 6*r = 2*f + 5*r, -5*f - r = m. Factor 0*v**4 - 1/3*v**3 + 0*v + f*v**2 + 1/3*v**5 + 0.
v**3*(v - 1)*(v + 1)/3
Determine b so that -273/5*b**2 + 3/5*b**4 - 489/5*b - 234/5 - 3*b**3 = 0.
-6, -1, 13
Let z be (23/(-3))/((3/(-1))/(-9)). Let i = z - -27. What is j in 16*j**3 + 32*j**2 - 28*j**i - 4 - 133*j**5 + 6*j**3 + 2*j**3 + 109*j**5 = 0?
-1, -1/2, 1/3, 1
Let i be 251512/37980 + (-20)/9. Determine g so that 82/5*g + i*g**3 + 28/5 + 78/5*g**2 - 2/5*g**4 = 0.
-1, 14
Let l(a) be the first derivative of 2*a**6/15 - 12*a**5/25 + 2*a**4/5 - 2141. Factor l(j).
4*j**3*(j - 2)*(j - 1)/5
Suppose -85 = 12*q - 29*q. Find s such that -s**4 - 32*s**2 - 11*s**3 + 24*s**2 - s**3 + 3*s**q + 3*s**4 + 0*s**3 = 0.
-2, -2/3, 0, 2
Let f(n) be the first derivative of 20480*n**6/27 + 49664*n**5/45 + 1528*n**4/9 - 2410*n**3/27 + 89*n**2/9 - 4*n/9 + 2607. Solve f(s) = 0.
-1, -2/5, 1/16
Solve -9*b**2 + 60 - 42*b - 3/2*b**4 + 21/2*b**3 = 0.
-2, 2, 5
Let l(j) be the third derivative of 0 + 0*j**3 + 7/72*j**4 + j**2 - 1/180*j**5 + 2*j. Factor l(p).
-p*(p - 7)/3
Let r(p) = 27*p + 355. Let y be r(-13). Let d(v) be the first derivative of 0*v - 2/5*v**5 - 1/4*v**y + 14 - 1/6*v**6 + 0*v**2 + 0*v**3. Factor d(z).
-z**3*(z + 1)**2
Let f(z) be the first derivative of 0*z + 0*z**5 - 19/3*z**3 + 0*z**2 - 1/1980*z**6 + 0*z**4 - 7. Let l(r) be the third derivative of f(r). Factor l(t).
-2*t**2/11
Let y(n) be the first derivative of -1/8*n**4 + 1/9*n**3 + 1/72*n**6 + 0*n + 15 + 25/2*n**2 - 1/30*n**5. Let f(m) be the second derivative of y(m). Factor f(l).
(l - 2)*(l + 1)*(5*l - 1)/3
Let k(a) be the first derivative of 14*a**5/5 - 106*a**4/9 - 1856*a**3/27 - 48*a**2 + 32*a - 276. Let k(b) = 0. Calculate b.
-2, -6/7, 2/9, 6
Let b = 333166/7 - 47592. Factor -b*n**2 - 18/7 - 2/7*n**3 - 38/7*n.
-2*(n + 1)**2*(n + 9)/7
Suppose -14154*d + 7136*d - 3822 + 3*d**2 + 7087*d = 0. Calculate d.
-49, 26
Let g = 1323269/84825 - -1/84825. Find u, given that -3/5*u**2 - g*u - 507/5 = 0.
-13
Suppose 307*z - 1893 = -405*z + 81*z. Determine x, given that 32/9*x + 0 - 10/9*x**5 - 40/9*x**z - 8/3*x**2 + 14/3*x**4 = 0.
-4/5, 0, 1, 2
Let w(x) = 2*x**2 - 1746*x - 8. Let i(l) = -4*l**2 + 3489*l + 20. Let a(s) = 2*i(s) + 5*w(s). Solve a(o) = 0.
0, 876
Suppose -41 + 2/9*x**2 - 737/9*x = 0. Calculate x.
-1/2, 369
Let k be ((-3)/27)/(-37 + (-19400)/(-525)). Suppose 0 - 6*u - 1/3*u**4 - k*u**2 + 10/3*u**3 = 0. What is u?
-1, 0, 2, 9
Let t(b) = 2*b**2 - 3*b - 1. Let u be t(-1). Let i be (-4)/((-1)/(u/8)). Factor -14*s**4 - i*s**5 + 3*s**4 - 12*s**3 - s**4 - s**5.
-3*s**3*(s + 2)**2
Let o(i) be the first derivative of i**5/10 + 9*i**4/8 - 101*i**3/6 + 171*i**2/4 - 40*i + 6029. Factor o(x).
(x - 5)*(x - 1)**2*(x + 16)/2
Let y = -1292926 + 1292931. Suppose 0 + 0*x**2 - 2/9*x**y + 0*x - 2/9*x**3 + 4/9*x**4 = 0. What is x?
0, 1
Let k(t) be the third derivative of t**6/30 - 41*t**5/15 + 133*t**4/2 + 294*t**3 - 3916*t**2. Factor k(b).
4*(b - 21)**2*(b + 1)
Let h(y) be the first derivative of 2*y**5/45 + 1231*y**4/9 + 3030722*y**3/27 + 215. Factor h(k).
2*k**2*(k + 1231)**2/9
Let o(q) be the second derivative of 6*q + 0 - 5/12*q**4 + 35*q**2 + 25/6*q**3. Solve o(j) = 0 for j.
-2, 7
Let r(l) be the first derivative of -3*l**5/40 + 3*l**4/32 + 9*l**3/4 - 3*l**2 - 12*l - 4572. Suppose r(b) = 0. Calculate b.
-4, -1, 2, 4
Suppose q = 3713 + 329. Let a = -28162/7 + q. Factor -6/7*h**2 - a*h - 726/7.
-6*(h + 11)**2/7
Let i(t) be the third derivative of -t**6/200 - t**5/20 + 9*t**4/20 + 36*t**3/5 + 5*t**2 + 50. Factor i(h).
-3*(h - 4)*(h + 3)*(h + 6)/5
Let q(g) be the third derivative of -27/7*g**3 + 0*g + 33/140*g**5 + 0 + 11/280*g**6 + 1/490*g**7 + 9/56*g**4 + 119*g**2. Factor q(w).
3*(w - 1)*(w + 3)**2*(w + 6)/7
Factor -43/2*l + 147/2 - l**2.
-(l - 3)*(2*l + 49)/2
Let a(o) be the first derivative of 3*o**4/8 + 6*o**3 - 243*o**2/4 + 102*o - 5562. Determine w so that a(w) = 0.
-17, 1, 4
Factor 5038/9*m**2 - 3220/3*m + 529 + 1/9*m**4 - 140/9*m**3.
(m - 69)**2*(m - 1)**2/9
Let y(f) be the first derivative of -1/12*f**4 + 9*f**2 - 9 + 0*f**3 + 1/12*f**5 + 0*f. Let b(i) be the second derivative of y(i). Let b(c) = 0. Calculate c.
0, 2/5
Factor -2/19*p**2 + 796/19 - 394/19*p.
-2*(p - 2)*(p + 199)/19
Let z(j) be the first derivative of -3*j**4/4 - 52*j**3 + 162*j**2 + 1095. Solve z(w) = 0 for w.
-54, 0, 2
Find n, given that -195480*n**2 - 98283*n + 16481*n**4 - 3*n**5 - 96114*n**3 - 31743*n**4 + 16342*n**4 = 0.
-1, 0, 181
Let -262/11*d**2 - 42/11*d**4 + 2/11*d**5 + 360/11 - 144/11*d + 18*d**3 = 0. What is d?
-1, 2, 3, 15
Let y(t) be the second derivative of t**8/1680 - t**7/840 - t**6/72 - t**5/40 + 97*t**3/6 - 120*t. Let d(k) be the second derivative of y(k). Factor d(o).
o*(o - 3)*(o + 1)**2
Let j(m) be the second derivative of -m**5/20 + m**4/4 + 49*m**3/6 + 45*m**2/2 - 51*m. Factor j(d).
-(d - 9)*(d + 1)*(d + 5)
Factor 28*t**2 + 0*t**3 + 10*t**3 + 50 + 2*t**4 - 2*t**3 + 64*t**2 + 16*t**3 + 120*t.
2*(t + 1)**2*(t + 5)**2
Suppose -427*f - 27 = -436*f. Factor -1/4*w + 1/4*w**f - 3/2 + 3/2*w**2.
(w - 1)*(w + 1)*(w + 6)/4
Let m(d) = 89*d**3 + 181*d**2 - 1308*d - 59. Let l(k) = k**3 + k**2 + 4*k + 1. Let s(h) = -l(h) + m(h). Factor s(b).
4*(b - 3)*(b + 5)*(22*b + 1)
Factor 45*w**2 + 195/4*w**3 - 95*w + 5/4*w**4 + 0.
5*w*(w - 1)*(w + 2)*(w + 38)/4
Let y(d) be the first derivative of 0*d + 1/13*d**2 + 4/39*d**3 - 124 + 1/26*d**4. Determine i, given that y(i) = 0.
-1, 0
Let x(a) be the first derivative of 0*a**2 + 2 + 8*a - 1/3*a**3 - 7/30*a**6 + 7/12*a**4 + 1/10*a**5. Let n(c) be the first derivative of x(c). Factor n(p).
-p*(p - 1)*(p + 1)*(7*p - 2)
Let u(s) be the third derivative of -s**6/420 + 149*s**5/105 - 295*s**4/84 - 198*s**3/7 - 321*s**2 + 2*s + 1. Let u(i) = 0. Calculate i.
-1, 2, 297
Determine k, given that 3*k**2 + 14*k**5 + 13*k**4 + 20*k**2 + 6*k + 36*k**3 - 36 + 11*k**3 - 13*k**5 - 54*k = 0.
-6, -1, 1
Let u(j) = 39*j**5 - 24*j**4 + 6*j**3 + 171*j**2 + 72*j - 45. Let m(k) = -3*k**5 - k**4 - k**2 + 3. Let r(t) = 15*m(t) + u(t). Suppose r(l) = 0. What is l?
-6, -2, -1/2, 0, 2
Let w be ((-312)/(-5200))/(12/720). Factor -44/5*g**2 + 0 + 0*g + w*g**3 + 2/5*g**4.
2*g**2*(g - 2)*(g + 11)/5
Let i(z) be the second derivative of 5*z**4/36 - 7580*z**3/9 + 5745640*z**2/3 + 3642*z. Factor i(f).
5*(f - 1516)**2/3
Let d(a) be the third derivative of 0*a**5 + 10*a**2 + 0*a**3 + 0*a + 0 - 1/21*a**4 + 1/420*a**6. Factor d(l).
2*l*(l - 2)*(l + 2)/7
Let c(u) = 282*u**2 + 6*u - 32. Let r be c(-8). Suppose -5*n + 4*y + 1834 = -r, -4*n = -2*y - 15844. Factor -4 - 2*z**3 + n*z* | {
"pile_set_name": "DM Mathematics"
} |
, to the nearest integer?
3
What is the cube root of 2323 to the nearest integer?
13
What is 8622 to the power of 1/2, to the nearest integer?
93
What is 91250 to the power of 1/5, to the nearest integer?
10
What is 97465 to the power of 1/5, to the nearest integer?
10
What is the square root of 1748 to the nearest integer?
42
What is 20122 to the power of 1/3, to the nearest integer?
27
What is 3071 to the power of 1/7, to the nearest integer?
3
What is the tenth root of 2651 to the nearest integer?
2
What is 53913 to the power of 1/3, to the nearest integer?
38
What is the fifth root of 1628 to the nearest integer?
4
What is 14272 to the power of 1/2, to the nearest integer?
119
What is the fifth root of 4442 to the nearest integer?
5
What is the fourth root of 3703 to the nearest integer?
8
What is 107 to the power of 1/3, to the nearest integer?
5
What is the square root of 1870 to the nearest integer?
43
What is 4523 to the power of 1/6, to the nearest integer?
4
What is 39044 to the power of 1/2, to the nearest integer?
198
What is the cube root of 58442 to the nearest integer?
39
What is 2346 to the power of 1/3, to the nearest integer?
13
What is 32533 to the power of 1/2, to the nearest integer?
180
What is 41385 to the power of 1/3, to the nearest integer?
35
What is the sixth root of 7967 to the nearest integer?
4
What is the eighth root of 4284 to the nearest integer?
3
What is the square root of 7194 to the nearest integer?
85
What is the seventh root of 1017 to the nearest integer?
3
What is 16741 to the power of 1/2, to the nearest integer?
129
What is 6662 to the power of 1/5, to the nearest integer?
6
What is the ninth root of 982 to the nearest integer?
2
What is 1120 to the power of 1/2, to the nearest integer?
33
What is 8469 to the power of 1/2, to the nearest integer?
92
What is the square root of 122481 to the nearest integer?
350
What is 31402 to the power of 1/2, to the nearest integer?
177
What is 1955 to the power of 1/4, to the nearest integer?
7
What is 9978 to the power of 1/5, to the nearest integer?
6
What is 11450 to the power of 1/2, to the nearest integer?
107
What is the tenth root of 9031 to the nearest integer?
2
What is the square root of 2040 to the nearest integer?
45
What is 1647 to the power of 1/10, to the nearest integer?
2
What is 3471 to the power of 1/3, to the nearest integer?
15
What is 1958 to the power of 1/2, to the nearest integer?
44
What is 257 to the power of 1/2, to the nearest integer?
16
What is the third root of 15275 to the nearest integer?
25
What is the cube root of 1542 to the nearest integer?
12
What is the ninth root of 2744 to the nearest integer?
2
What is 141476 to the power of 1/2, to the nearest integer?
376
What is 677 to the power of 1/3, to the nearest integer?
9
What is the cube root of 344 to the nearest integer?
7
What is 49467 to the power of 1/10, to the nearest integer?
3
What is 28250 to the power of 1/2, to the nearest integer?
168
What is the square root of 154632 to the nearest integer?
393
What is the ninth root of 1725 to the nearest integer?
2
What is the tenth root of 53098 to the nearest integer?
3
What is 616 to the power of 1/5, to the nearest integer?
4
What is 259 to the power of 1/3, to the nearest integer?
6
What is the third root of 7597 to the nearest integer?
20
What is 28027 to the power of 1/9, to the nearest integer?
3
What is 12826 to the power of 1/2, to the nearest integer?
113
What is the ninth root of 201 to the nearest integer?
2
What is the ninth root of 16752 to the nearest integer?
3
What is the fifth root of 6600 to the nearest integer?
6
What is the square root of 2765 to the nearest integer?
53
What is the third root of 14047 to the nearest integer?
24
What is 9430 to the power of 1/3, to the nearest integer?
21
What is 586 to the power of 1/2, to the nearest integer?
24
What is 6869 to the power of 1/4, to the nearest integer?
9
What is the fourth root of 3770 to the nearest integer?
8
What is the cube root of 4184 to the nearest integer?
16
What is the square root of 28598 to the nearest integer?
169
What is the seventh root of 1431 to the nearest integer?
3
What is the cube root of 4853 to the nearest integer?
17
What is 2730 to the power of 1/4, to the nearest integer?
7
What is the square root of 85621 to the nearest integer?
293
What is the tenth root of 1351 to the nearest integer?
2
What is the cube root of 3320 to the nearest integer?
15
What is the fifth root of 4560 to the nearest integer?
5
What is the cube root of 319 to the nearest integer?
7
What is 20203 to the power of 1/4, to the nearest integer?
12
What is the third root of 92862 to the nearest integer?
45
What is 42430 to the power of 1/7, to the nearest integer?
5
What is 1344 to the power of 1/6, to the nearest integer?
3
What is the cube root of 8213 to the nearest integer?
20
What is 74601 to the power of 1/10, to the nearest integer?
3
What is the square root of 2497 to the nearest integer?
50
What is 5169 to the power of 1/2, to the nearest integer?
72
What is 3334 to the power of 1/4, to the nearest integer?
8
What is the square root of 2403 to the nearest integer?
49
What is 45642 to the power of 1/3, to the nearest integer?
36
What is 41297 to the power of 1/2, to the nearest integer?
203
What is 374 to the power of 1/2, to the nearest integer?
19
What is the third root of 6114 to the nearest integer?
18
What is 19959 to the power of 1/3, to the nearest integer?
27
What is 1652 to the power of 1/2, to the nearest integer?
41
What is the fourth root of 3608 to the nearest integer?
8
What is 113143 to the power of 1/3, to the nearest integer?
48
What is 9035 to the power of 1/2, to the nearest integer?
95
What is the cube root of 2122 to the nearest integer?
13
What is the seventh root of 80835 to the nearest integer?
5
What is the square root of 2102 to the nearest integer?
46
What is 6411 to the power of 1/3, to the nearest integer?
19
What is the seventh root of 58885 to the nearest integer?
5
What is the cube root of 6175 to the nearest integer?
18
What is the cube root of 7775 to the nearest integer?
20
What is the square root of 37459 to the nearest integer?
194
What is the tenth root of 646 to the nearest integer?
2
What is the third root of 77140 to the nearest integer?
43
What is 1370 to the power of 1/3, to the nearest integer?
11
What is the cube root of 36364 to the nearest integer?
33
What is the third root of 882 to the nearest integer?
10
What is the square root of 5171 to the nearest integer?
72
What is the square root of 5129 to the nearest integer?
72
What is the ninth root of 94 to the nearest integer?
2
What is 813 to the power of 1/10, to the nearest integer?
2
What is 35133 to the power of 1/5, to the nearest integer?
8
What is 462 to the power of 1/2, to the nearest integer?
21
What is 4089 to the power of 1/2, to the nearest integer?
64
What is the seventh root of 421 to the nearest integer?
2
What is 8695 to the power of 1/4, to the nearest integer?
10
What is the square root of 26223 to the nearest integer?
162
What is the square root of 798 to the nearest integer?
28
What is the third root of 2059 to the nearest integer?
13
What is 629 to the power of 1/2, to the nearest integer?
25
What is 7017 to the power of 1/3, to the nearest integer?
19
What is the third root of 6580 to the nearest integer?
19
What is the sixth root of 19812 to the nearest integer?
5
What is 9012 to the power of 1/2, to the nearest integer?
95
What is the fifth root of 5277 to the nearest integer?
6
What is 25394 to the power of 1/2, to the nearest integer?
159
What is the third root of 127540 to the nearest integer?
50
What is the seventh root of 25777 to the nearest integer?
4
What is the cube root of 4061 to the nearest integer?
16
What is the square root of 4873 to the nearest integer?
70
What is the square root of 1588 to the nearest integer?
40
What is the cube root of 4126 to the nearest integer?
16
What is the seventh root of 66227 to the nearest integer?
5
What is the square root of 2340 to the nearest integer?
48
What is 55 to the power of 1/4, to the nearest integer?
3
What is 2532 to the power of 1/2, to the nearest integer?
50
What is the | {
"pile_set_name": "DM Mathematics"
} |
he hundreds digit of 5267149?
1
What is the tens digit of 203392?
9
What is the ten thousands digit of 194082?
9
What is the thousands digit of 2608534?
8
What is the units digit of 3104706?
6
What is the hundreds digit of 4102804?
8
What is the hundred thousands digit of 2478716?
4
What is the hundreds digit of 6591?
5
What is the ten thousands digit of 622484?
2
What is the hundred thousands digit of 468593?
4
What is the hundreds digit of 996704?
7
What is the hundred thousands digit of 1121077?
1
What is the units digit of 777940?
0
What is the units digit of 3716638?
8
What is the hundreds digit of 5236612?
6
What is the ten thousands digit of 1135601?
3
What is the ten thousands digit of 137504?
3
What is the units digit of 943777?
7
What is the thousands digit of 591716?
1
What is the tens digit of 102251?
5
What is the units digit of 5606360?
0
What is the ten thousands digit of 2423953?
2
What is the millions digit of 7275879?
7
What is the millions digit of 3599817?
3
What is the ten thousands digit of 58823?
5
What is the hundreds digit of 1878772?
7
What is the hundreds digit of 46432?
4
What is the units digit of 240849?
9
What is the ten thousands digit of 381654?
8
What is the hundreds digit of 565159?
1
What is the hundred thousands digit of 38725663?
7
What is the tens digit of 5631168?
6
What is the thousands digit of 15758?
5
What is the hundreds digit of 294988?
9
What is the thousands digit of 939565?
9
What is the millions digit of 20310379?
0
What is the hundred thousands digit of 200743?
2
What is the hundred thousands digit of 894178?
8
What is the hundreds digit of 290917?
9
What is the millions digit of 14144051?
4
What is the hundreds digit of 107018?
0
What is the thousands digit of 2278461?
8
What is the ten thousands digit of 357295?
5
What is the hundreds digit of 4324892?
8
What is the thousands digit of 968152?
8
What is the millions digit of 2021191?
2
What is the thousands digit of 557274?
7
What is the hundreds digit of 1953393?
3
What is the units digit of 570672?
2
What is the hundred thousands digit of 146639?
1
What is the ten millions digit of 39096512?
3
What is the tens digit of 14719499?
9
What is the hundreds digit of 2873456?
4
What is the ten thousands digit of 537961?
3
What is the hundred thousands digit of 7526772?
5
What is the ten thousands digit of 643983?
4
What is the hundreds digit of 680585?
5
What is the ten millions digit of 12979342?
1
What is the hundred thousands digit of 321105?
3
What is the hundred thousands digit of 6386055?
3
What is the hundreds digit of 147997?
9
What is the tens digit of 21106384?
8
What is the tens digit of 9876514?
1
What is the units digit of 275130?
0
What is the thousands digit of 521057?
1
What is the tens digit of 2875000?
0
What is the tens digit of 946511?
1
What is the ten millions digit of 18302316?
1
What is the hundreds digit of 824504?
5
What is the thousands digit of 2872039?
2
What is the hundreds digit of 172832?
8
What is the thousands digit of 430241?
0
What is the ten thousands digit of 97797?
9
What is the hundreds digit of 583758?
7
What is the hundreds digit of 8839181?
1
What is the thousands digit of 7466251?
6
What is the hundreds digit of 9373372?
3
What is the ten thousands digit of 11870?
1
What is the tens digit of 853291?
9
What is the ten thousands digit of 1141248?
4
What is the hundred thousands digit of 703187?
7
What is the hundreds digit of 166272?
2
What is the tens digit of 12054483?
8
What is the hundreds digit of 1228429?
4
What is the units digit of 126405?
5
What is the ten thousands digit of 43059316?
5
What is the hundred thousands digit of 808127?
8
What is the ten thousands digit of 247341?
4
What is the hundred thousands digit of 5056357?
0
What is the tens digit of 591418?
1
What is the units digit of 5530522?
2
What is the thousands digit of 2069798?
9
What is the units digit of 853932?
2
What is the hundred thousands digit of 30882204?
8
What is the hundred thousands digit of 245652?
2
What is the tens digit of 50159?
5
What is the ten thousands digit of 79136?
7
What is the hundred thousands digit of 1314813?
3
What is the units digit of 364832?
2
What is the hundreds digit of 61554?
5
What is the units digit of 84894?
4
What is the hundreds digit of 268559?
5
What is the hundred thousands digit of 631762?
6
What is the hundred thousands digit of 716919?
7
What is the ten thousands digit of 2842905?
4
What is the hundreds digit of 252152?
1
What is the units digit of 200196?
6
What is the hundreds digit of 990714?
7
What is the tens digit of 3356236?
3
What is the hundred thousands digit of 319069?
3
What is the ten thousands digit of 513378?
1
What is the thousands digit of 78498?
8
What is the hundreds digit of 8248017?
0
What is the units digit of 191002?
2
What is the hundred thousands digit of 3371551?
3
What is the tens digit of 183662?
6
What is the tens digit of 83198?
9
What is the tens digit of 539058?
5
What is the tens digit of 752669?
6
What is the units digit of 467048?
8
What is the thousands digit of 210920?
0
What is the hundreds digit of 370732?
7
What is the thousands digit of 1821121?
1
What is the units digit of 26615?
5
What is the hundreds digit of 47223?
2
What is the ten thousands digit of 399955?
9
What is the thousands digit of 41556?
1
What is the tens digit of 1596470?
7
What is the tens digit of 468277?
7
What is the hundred thousands digit of 10669445?
6
What is the tens digit of 2528248?
4
What is the hundred thousands digit of 552656?
5
What is the thousands digit of 4118132?
8
What is the millions digit of 8971046?
8
What is the tens digit of 2363215?
1
What is the tens digit of 1636336?
3
What is the hundreds digit of 214769?
7
What is the thousands digit of 7084310?
4
What is the hundred thousands digit of 815359?
8
What is the units digit of 2184496?
6
What is the tens digit of 141867?
6
What is the hundred thousands digit of 495021?
4
What is the ten thousands digit of 25396052?
9
What is the thousands digit of 28876458?
6
What is the units digit of 1186203?
3
What is the tens digit of 9900468?
6
What is the hundreds digit of 534946?
9
What is the hundreds digit of 22913448?
4
What is the millions digit of 1020767?
1
What is the thousands digit of 3252485?
2
What is the ten thousands digit of 353381?
5
What is the ten thousands digit of 1374650?
7
What is the tens digit of 1860821?
2
What is the hundreds digit of 11502294?
2
What is the ten thousands digit of 9363420?
6
What is the hundred thousands digit of 1308860?
3
What is the thousands digit of 5335353?
5
What is the tens digit of 59590?
9
What is the units digit of 195593?
3
What is the tens digit of 1848653?
5
What is the thousands digit of 301181?
1
What is the tens digit of 677677?
7
What is the ten thousands digit of 212099?
1
What is the hundreds digit of 53238?
2
What is the ten thousands digit of 6447981?
4
What is the hundreds digit of 255933?
9
What is the tens digit of 138199?
9
What is the millions digit of 18897858?
8
What is the hundred thousands digit of 3164939?
1
What is the millions digit of 2229483?
2
What is the thousands digit of 10209037?
9
What is the hundred thousands digit of 4636940?
6
What is the hundreds digit of 594949?
9
What is the thousands digit of 604995?
4
What is the units digit of 4762089?
9
What is the hundred thousands digit of 4356066?
3
What is the thousands digit of 186453?
6
What is the hundreds digit of 67335?
3
What is the millions digit of 21935154?
1
What is the hundreds digit of 259402?
4
What is the tens digit of 432909?
0
What is the millions digit of 4568484?
4
What is the ten thousands digit of 5908623?
0
What is the tens digit of 328122?
2
What is the hundred thousands digit of 19201031?
2
What is the thousands digit of 1359784?
9
What is the hundred thousands digit of 1037875?
0
What is the thousands digit of 227508?
7
What is the units digit of 315939?
9
What is the ten thousands digit of 2845482?
4
What is the units digit of 4179251?
1
What is the units digit of 17525510?
0
What is the tens digit of 184003?
0
What is the tens digit of 701353?
5
What is the hundreds digit of 2788600?
6
What is the hundreds digit of 11758745?
7
What is the units digit of 8 | {
"pile_set_name": "DM Mathematics"
} |
5*r + 0*r - 2. Give j(4).
-6
Let c(w) = w**3 + 6*w**2 + 45*w + 19. Let o be c(-10). Let z = o - -837. Let k(n) = -n**3 + 8*n**2 - 9*n + 4. Give k(z).
22
Let j(c) = 9*c**2 + 21*c - 12*c - 1 - 11*c - 9*c**3 - 6*c**2 - 2*c**3. Give j(2).
-81
Suppose -1 = -4*p + 11. Let y(s) = s - p - 8*s + 5*s. Let n be ((-952)/272)/((-1)/(-2)). Determine y(n).
11
Let p(b) = -b + 3. Let c be p(3). Suppose -1 = o - c*o. Let t(r) = 333*r + 2. Let v(a) = -166*a - 1. Let i(s) = 2*t(s) + 4*v(s). Determine i(o).
-2
Let c = 1519 + -1523. Let d(w) = 3*w**3 + 4*w**2 + 4*w + 17. Let g(s) = 13*s + s**3 + 50 + 7*s**3 + 14*s**2 - s**2. Let v(h) = c*g(h) + 11*d(h). Calculate v(9).
-4
Let z(t) = -607 + 5*t + 1027 - 419. Suppose 2*y = 6*y - 8. Determine z(y).
11
Let r(p) = -13*p**3 + 8*p**2 + 12*p + 2. Let j(b) = 13*b**3 - 9*b**2 - 15*b - 2. Let q(t) = -2*j(t) - 3*r(t). Give q(-2).
-118
Let j be -5*1*2/(-2). Suppose 111 = -r + 3*n, 0 = j*r - 0*n + n + 539. Let c = 117 + r. Let h(g) = g**3 - 8*g**2 - 8*g - 5. Determine h(c).
4
Let q(b) be the second derivative of -1/6*b**3 - 17*b + 0 - 7/2*b**2. Suppose 6 + 34 = -5*k. Determine q(k).
1
Let q(h) be the second derivative of -7*h**2 + 5/3*h**3 - 182*h - 1/12*h**4 + 0. Give q(8).
2
Let o(g) be the second derivative of -g**4/12 - g**3/6 - g**2/2 - g. Let c be 11/(-6) + -2 - (-997)/(-5982). Calculate o(c).
-13
Suppose 0 = -13*w + 3*w + 14720. Let i(h) = -w + 1462 + h + 3*h - 3*h. Let d be 0/(0 - 2/(-1)). Determine i(d).
-10
Let r = -34 + 40. Let u(z) = 16*z**3 - 2*z**3 - r*z**3 + 1 + 2*z**2 - 5*z**3 + 2*z. Calculate u(-1).
-2
Let b(r) be the first derivative of r**4/2 - r**3/3 - 5*r**2/2 + 3*r - 112. Let g be b(2). Let d(x) = -x**2 - x + x + 5*x + 4. Determine d(g).
4
Let c = 319 + -316. Let s(t) be the third derivative of -t**6/120 + t**5/15 - t**4/8 - t**3/2 - 5*t**2 - 14. Determine s(c).
-3
Let h(c) = -3*c + 2*c + 7*c**2 + 0*c - 2. Let b(s) = -5934*s - 94945. Let f be b(-16). What is h(f)?
6
Let x(p) = 6*p**3 - 34*p**2 + 8*p - 23. Let v(y) = 5*y**3 - 24*y**2 + 7*y - 23. Let s(i) = -5*v(i) + 4*x(i). Give s(-16).
71
Let y(a) = -6*a**2 - 104*a - 899. Let h(v) = -v**2 - 18*v - 150. Let b(l) = 13*h(l) - 2*y(l). Calculate b(-8).
-8
Let a be 362/12 + (-1)/6. Let c be 1/(4 + (-117)/a). Let f(y) be the third derivative of y**5/60 - 11*y**4/24 + y**3 - 4*y**2 - 28*y. Give f(c).
-4
Let q(t) = -8*t**2 + 48*t - 155. Let c(f) = -3*f**2 + 25*f - 81. Let d(p) = -5*c(p) + 2*q(p). Give d(-32).
-1
Let k = 34224 + -34226. Let h(w) = 2*w**3 + 3*w**2 + 8*w + 22. Determine h(k).
2
Let d(l) = 4*l**2 + 3*l - 4. Let n be d(1). Let u be -9 + ((-15)/(-9) - (-1)/n). Let x(r) = -3*r - 2. Give x(u).
19
Let b(d) be the second derivative of 1/12*d**4 + 5/6*d**3 + 3/2*d**2 + 0 + 12*d. Let o be 3*(20/(-30))/((-4)/(-6)). Give b(o).
-3
Let d(o) be the first derivative of o**3/3 + 3*o**2 + 5*o + 2233. Let v(p) = p**3 + 6*p**2. Let k be v(-6). Suppose k = 5*m + 5 + 15. Determine d(m).
-3
Let g be ((-54)/(-21) - -1) + 20/(-35). Suppose 0 = -p - 4*f - 4, 3*p = g*f + 19 - 1. Let r(z) = 2*z + 1. Give r(p).
9
Let q(x) be the third derivative of -x**5/10 + x**4/12 + x**3/6 + 51*x**2 - 6. Let u be (1 - 1)*6/12. Let i be -1 - u/(3/(-3)). Calculate q(i).
-7
Let x(h) = -2*h - 13. Let a(g) = 5*g**2 + 10*g - 11. Suppose p + 8 = -3*p, 3*s - 5*p + 5 = 0. Let f be a(s). Let b = f + -74. Calculate x(b).
7
Suppose 9*d = -14*d + 20608. Let p = d - 895. Let v(t) = -22*t**3 + t**2. Calculate v(p).
-21
Let f(h) = h**3 + 9*h**2 + h + 13. Let r = -45 + 47. Let w(t) = t - r - 3*t + t + 0*t. Let i be w(7). Calculate f(i).
4
Let r(y) = y - 7. Let l be 2 - -2 - (-16 + 17). Suppose 2*p = c - 1, -l*c + 3*p + 7 + 2 = 0. What is r(c)?
-2
Suppose -3*j + j - l = -27, 0 = -2*j + 2*l + 18. Let a(t) = -t. Let c(u) = u**3 - 11*u**2 - 14*u - 16. Let v(y) = 3*a(y) - c(y). Calculate v(j).
4
Let r(l) be the first derivative of l**4/4 + 8*l**3/3 + 5*l**2/2 - 6*l - 5. Let c be (7 + -12 + 1)*6/(-4). Suppose c = -7*h - 43. Determine r(h).
8
Let f(b) be the second derivative of 1/20*b**5 + 2 + 7*b + 2*b**2 + 0*b**3 + 1/3*b**4. Determine f(-3).
13
Suppose 4*o + 18 = 2*l, -3*l - 2*l = 5*o - 30. Let z(s) be the first derivative of -s**3/3 + 9*s**2/2 + 4*s - 2642. Calculate z(l).
18
Let s = 52707 - 52713. Suppose 3*o = -5*a - 21, 4*a + 2*o + 22 = -3*o. Let n(r) = -5*r - 1. Let u(h) = -h + 1. Let j(m) = a*u(m) + n(m). Calculate j(s).
8
Suppose 2*i + 0 = 4. Let r = -3064 - -3062. Let a be 0 + i*r/(-3)*3. Let c(z) = -z + 6. Determine c(a).
2
Let g be (4 + 2)/12 - (-15)/2. Let f(s) = 0*s - g + 2*s - 2*s - 2*s. Let j be f(-3). Let o(x) = -x**3 + x**2 + 2*x + 1. Give o(j).
9
Let b(k) be the second derivative of -3*k**5/20 - k**4/3 - k**3/2 + k**2 + k + 355. What is b(-2)?
16
Let x(n) = 37*n - 10. Let s(p) = 306*p - 81. Let l(d) = -4*s(d) + 33*x(d). Let z be ((-2 + -5)/7)/(3/(-21)). Calculate l(z).
-27
Suppose -4960 = 61*j - 575*j + 694. Let m(n) = n + 12. Let q(u) = 2*u + 13. Let f(z) = 4*m(z) - 3*q(z). Determine f(j).
-13
Let r = -3196 - -3225. Let a(s) = -s**3 + 29*s**2 - s + 16. Calculate a(r).
-13
Let p(t) = -t**2 + 14*t - 10. Let n(b) = 3. Let s(a) = 4*n(a) + p(a). Give s(13).
15
Suppose -23 = 3*q - 14. Let o(a) = a. Let s(n) = -9*n + 6. Let p(g) = o(g) - s(g). Let w(f) = 7*f - 4. Let i(c) = 5*p(c) - 7*w(c). Calculate i(q).
-5
Let t(z) = -z**2 - 7*z + 5. Let o be 1/(-12) - (-19437)/396. Suppose -o*q + 19 = 362. Determine t(q).
5
Let z(n) = n**2 - 20*n + 28. Let a be (-4)/(-9)*2106/52. Determine z(a).
-8
Let n(i) = -2*i + 10. Let v be n(-7). Suppose b = -4*h, -4*h + 2*b = -3*b + v. Let k be ((-8)/(-4) - 3)*(h - -1). Let m(q) = -q**3 + q. Give m(k).
0
Let g be 42 - (-2 + 40)/1. Let n(i) be the first derivative of -i**4/4 + 4*i**3/3 + i**2 - i + 1. Determine n(g).
7
Suppose 0 = 5*z + 19 - 194. Suppose 0*f = f - 5*m - 7, -5*f - 4*m + z = 0. Let x(r) = r**2 - 7*r - 6. What is x(f)?
-6
Let w(p) = 31029 + 31054 - 2*p - 62129. What is w(-14)?
-18
Let x(q) = q**2 - q - 20. Let m be ((-5)/15)/((-6)/126). Give x(m).
22
Suppose 2*i = 5*i - 18. Let g(u) = 37*u**2 - 4*u - 4. Let m(x) = -46*x**2 + 4*x + 6. Let p(t) = 10*g(t) + 8*m(t). Calculate p(i).
32
Let n(o) = -o**3 - 6*o**2 + 9*o - 4. Suppose 6*h - 87 = -27. Suppose 2*y = -3*g - 7, 2*y + 3*g = 4*y + 13. Let i be (-62)/h - (-4)/y. Calculate n(i).
-18
Let q be ((-5)/2)/(2 - 6/4). Let y(d) = 2*d**3 + d - 1. Let c(t) = 3*t**3 + t**2 + 2*t - 1. Let n(k) = q*y(k) + 4*c(k). Give n(-2).
-5
Let j be -8 + 2 + -1 + 0. Let b(x) = -173*x + x**2 + 63*x + 1 + 55*x + 65*x. What is b(j)?
-20
Suppose -555 = -2*y - 3*i, -14*i = y - 13*i - 276. Let h(x) = 267 + y + x - 534. What is h(5)?
11
Let q be 10*(-3)/18*36/(-20). Let y be (q/(-4))/(6/(-16)). Let x(b) = 2*b**3 + b**2 + 1. Give x(y).
21
Suppose -600*o = 3*i - 603*o + 39, 0 = 2*i - 5*o + 38. Let r(w) be the second derivative of -w**3/6 + 7*w**2/2 + w. Calculate r(i).
16
Let h = 13103/5 - 26201/10. Let n(l) be the first derivative of -4/3*l**3 + 3 - h*l**2 - 1/4*l**4 - 4*l. Determine n(-4).
0
Suppose 7*i - 30 = -9. Let h(c) = -c + 5*c - 74 + i*c + 71. Calculate h(3).
18
Let n(i) = -33*i**2 - 39*i + 2. Let h be n(-1). Let r(m) = -m**3 + 9*m**2 - 6*m + 12. Determine r(h).
28
Suppose -5*z = -2*z - 12. Let x(y) be the second derivative of 27*y + 0 + 1/6*y**3 - 3/2*y**2. Give x(z).
1
Let p(i) = 4 - 2*i + 2 - 4 - i**2. Let r(a) = -2*a**2 + 11*a + 22. Let c be r(7). Let w be 7*4/28 + c. Calculate p(w).
-6
Let q(b) be the first derivative of -132 - 1/2*b**2 + 11*b. Calculate q(5).
6
Let h(a) = 13*a - 3*a**2 + a - 1 - 15*a. Suppose 0 = -4*s - 20, -3*s - 9 = -x + 5. Give h(x).
-3
Let z(x) be the first derivative of x**2/2 + 6*x - 1. Let p(w) = -2*w - 5. Let l(k) = 9*k + 202. Let y be l(-23). Let n(d) = y*z(d) - 4*p(d). Determine n(7).
11
Let n(u) = 15*u**3 + 8*u**2 - u - 58. Let l(b) = -17*b**3 - 9*b**2 + b + 66. Let c(w) = -8*l(w) - 9*n(w). Suppose 0 = 3*v - 4*v. Give c(v).
-6
Suppose -5*k = -r + 23, -6*k - 55 = -5*r - k. Let x(g) = -3*g + 1. Determine x(r).
-23
Let h(s) = -s + 27. Let u be h(22). Let c(w) = 1692 + 4*w - 1688 - u*w. Determine c(-5).
9
Suppose 42*l = 51*l - 1269. Let h = l + -135. Let b(m) = -2*m + 6. Give b(h).
-6
Let r(g) = -2*g + 5. Let z(m) = m - 3. Let o(s) = -3*r(s) - 5*z(s). Let q(n) = -6*n + 17. Let d(h) = -4*o(h) - q(h). What | {
"pile_set_name": "DM Mathematics"
} |
when 2348 is divided by 40.
28
What is the remainder when 118 is divided by 60?
58
What is the remainder when 27 is divided by 21?
6
Calculate the remainder when 77 is divided by 43.
34
Calculate the remainder when 1824 is divided by 83.
81
What is the remainder when 511 is divided by 64?
63
What is the remainder when 514 is divided by 130?
124
Calculate the remainder when 502 is divided by 24.
22
Calculate the remainder when 25 is divided by 8.
1
Calculate the remainder when 148 is divided by 74.
0
What is the remainder when 161 is divided by 34?
25
What is the remainder when 1896 is divided by 50?
46
Calculate the remainder when 868 is divided by 39.
10
What is the remainder when 165 is divided by 30?
15
What is the remainder when 137 is divided by 44?
5
What is the remainder when 403 is divided by 19?
4
What is the remainder when 10284 is divided by 187?
186
Calculate the remainder when 2236 is divided by 21.
10
Calculate the remainder when 107 is divided by 37.
33
Calculate the remainder when 115 is divided by 40.
35
Calculate the remainder when 358 is divided by 13.
7
What is the remainder when 1300 is divided by 432?
4
What is the remainder when 1255 is divided by 17?
14
Calculate the remainder when 394 is divided by 192.
10
What is the remainder when 336 is divided by 26?
24
Calculate the remainder when 4729 is divided by 10.
9
Calculate the remainder when 407 is divided by 25.
7
What is the remainder when 8384 is divided by 65?
64
What is the remainder when 47 is divided by 40?
7
What is the remainder when 74 is divided by 21?
11
Calculate the remainder when 862 is divided by 496.
366
Calculate the remainder when 110 is divided by 93.
17
Calculate the remainder when 316 is divided by 25.
16
Calculate the remainder when 1679 is divided by 8.
7
What is the remainder when 1627 is divided by 181?
179
Calculate the remainder when 507 is divided by 51.
48
Calculate the remainder when 1951 is divided by 63.
61
Calculate the remainder when 39 is divided by 14.
11
Calculate the remainder when 1844 is divided by 13.
11
What is the remainder when 508 is divided by 94?
38
What is the remainder when 732 is divided by 2?
0
Calculate the remainder when 533 is divided by 40.
13
What is the remainder when 87 is divided by 10?
7
Calculate the remainder when 594 is divided by 102.
84
What is the remainder when 230 is divided by 43?
15
What is the remainder when 197 is divided by 100?
97
What is the remainder when 1368 is divided by 126?
108
What is the remainder when 2478 is divided by 207?
201
Calculate the remainder when 455 is divided by 17.
13
Calculate the remainder when 194 is divided by 52.
38
What is the remainder when 6478 is divided by 15?
13
What is the remainder when 31 is divided by 5?
1
What is the remainder when 99 is divided by 40?
19
What is the remainder when 1511 is divided by 101?
97
What is the remainder when 2549 is divided by 44?
41
What is the remainder when 9553 is divided by 65?
63
What is the remainder when 3847 is divided by 154?
151
Calculate the remainder when 413 is divided by 13.
10
What is the remainder when 121 is divided by 17?
2
Calculate the remainder when 1343 is divided by 48.
47
Calculate the remainder when 3148 is divided by 175.
173
Calculate the remainder when 828 is divided by 64.
60
Calculate the remainder when 278 is divided by 77.
47
Calculate the remainder when 898 is divided by 17.
14
Calculate the remainder when 207 is divided by 61.
24
What is the remainder when 184 is divided by 134?
50
Calculate the remainder when 142 is divided by 54.
34
What is the remainder when 278 is divided by 4?
2
What is the remainder when 1723 is divided by 114?
13
What is the remainder when 17 is divided by 6?
5
What is the remainder when 1176 is divided by 24?
0
Calculate the remainder when 319 is divided by 142.
35
What is the remainder when 945 is divided by 130?
35
Calculate the remainder when 126 is divided by 25.
1
What is the remainder when 95 is divided by 15?
5
Calculate the remainder when 1863 is divided by 64.
7
What is the remainder when 1123 is divided by 108?
43
What is the remainder when 1031 is divided by 68?
11
Calculate the remainder when 1504 is divided by 56.
48
Calculate the remainder when 4040 is divided by 47.
45
Calculate the remainder when 19 is divided by 3.
1
What is the remainder when 68 is divided by 3?
2
Calculate the remainder when 1451 is divided by 33.
32
Calculate the remainder when 65 is divided by 11.
10
What is the remainder when 1228 is divided by 338?
214
Calculate the remainder when 510 is divided by 25.
10
Calculate the remainder when 175 is divided by 15.
10
Calculate the remainder when 618 is divided by 42.
30
What is the remainder when 43 is divided by 15?
13
What is the remainder when 383 is divided by 40?
23
Calculate the remainder when 136 is divided by 38.
22
Calculate the remainder when 2759 is divided by 216.
167
What is the remainder when 31 is divided by 14?
3
What is the remainder when 300 is divided by 134?
32
Calculate the remainder when 119 is divided by 56.
7
Calculate the remainder when 2923 is divided by 86.
85
What is the remainder when 149 is divided by 50?
49
What is the remainder when 3179 is divided by 12?
11
Calculate the remainder when 33847 is divided by 403.
398
Calculate the remainder when 6461 is divided by 16.
13
Calculate the remainder when 471 is divided by 75.
21
Calculate the remainder when 801 is divided by 40.
1
What is the remainder when 74 is divided by 50?
24
Calculate the remainder when 910 is divided by 131.
124
What is the remainder when 3908 is divided by 170?
168
What is the remainder when 3189 is divided by 21?
18
Calculate the remainder when 124 is divided by 22.
14
Calculate the remainder when 417 is divided by 119.
60
Calculate the remainder when 82 is divided by 28.
26
Calculate the remainder when 53 is divided by 31.
22
Calculate the remainder when 166 is divided by 33.
1
Calculate the remainder when 2893 is divided by 100.
93
Calculate the remainder when 9174 is divided by 19.
16
Calculate the remainder when 125 is divided by 14.
13
Calculate the remainder when 727 is divided by 21.
13
What is the remainder when 2177 is divided by 11?
10
Calculate the remainder when 127 is divided by 37.
16
Calculate the remainder when 3129 is divided by 18.
15
What is the remainder when 649 is divided by 132?
121
Calculate the remainder when 441 is divided by 24.
9
Calculate the remainder when 895 is divided by 218.
23
What is the remainder when 487 is divided by 159?
10
What is the remainder when 1577 is divided by 518?
23
Calculate the remainder when 83 is divided by 33.
17
What is the remainder when 630 is divided by 4?
2
Calculate the remainder when 3378 is divided by 308.
298
Calculate the remainder when 6038 is divided by 18.
8
What is the remainder when 102 is divided by 6?
0
Calculate the remainder when 1944 is divided by 954.
36
What is the remainder when 6852 is divided by 11?
10
What is the remainder when 243 is divided by 83?
77
Calculate the remainder when 383 is divided by 11.
9
What is the remainder when 868 is divided by 5?
3
Calculate the remainder when 261 is divided by 17.
6
Calculate the remainder when 1004 is divided by 40.
4
Calculate the remainder when 956 is divided by 11.
10
What is the remainder when 6082 is divided by 3?
1
What is the remainder when 846 is divided by 77?
76
What is the remainder when 2265 is divided by 12?
9
Calculate the remainder when 1258 is divided by 35.
33
What is the remainder when 7708 is divided by 513?
13
What is the remainder when 110 is divided by 38?
34
Calculate the remainder when 46766 is divided by 37.
35
What is the remainder when 372 is divided by 5?
2
Calculate the remainder when 120 is divided by 41.
38
What is the remainder when 364 is divided by 53?
46
Calculate the remainder when 233 is divided by 56.
9
What is the remainder when 100 is divided by 47?
6
Calculate the remainder when 948 is divided by 313.
9
What is the remainder when 494 is divided by 71?
68
Calculate the remainder when 7 is divided by 5.
2
What is the remainder when 2081 is divided by 18?
11
Calculate the remainder when 165 is divided by 52.
9
Calculate the remainder when 256 is divided by 79.
19
What is the remai | {
"pile_set_name": "DM Mathematics"
} |
e (12/36)/((-2)/84*2). Let c be ((-26922)/(-1278))/y + (-3)/(-1). Which is smaller: 1 or c?
c
Let r be 1/(-36)*(-8970)/(-5060). Is 1 equal to r?
False
Suppose w = f + 3, -10*f = -5*f + 20. Let y be -1 + w + (1 - -2 - -9). Suppose -6*o + 4*o + 18 = 0. Which is greater: y or o?
y
Let l(j) = 12*j**2 + 5*j + 4. Let u be l(-5). Suppose -b + u = 79. Is b at least as big as 198?
True
Suppose -3*q - 32 = 5*p, 13*q = 11*q - 3*p - 20. Let f = -95/3 + 1787/57. Is q at least as big as f?
False
Suppose -h - 32 = 4*j, 8*j - 6*j + 16 = -h. Do h and -1/39 have the same value?
False
Let p = 28 + -26. Suppose -2*r - 15 + 5 = 4*m, -r - p = -m. Let l = 95/1098 + 3/122. Is l greater than or equal to m?
True
Let n(v) = -8*v**2 - 92*v - 129. Let b be n(-6). Which is smaller: b or 133?
133
Suppose -85*a = -77*a + 32. Let i be a/(5 - 1)*84. Which is smaller: -87 or i?
-87
Let j = -859918/13 - -59550. Let r = -6601 - j. Is r <= -2?
True
Let h(s) = s**2 + 4*s - 31. Let p be h(-8). Suppose 3*t + 4*n + 29 = 0, 2*n + 6 = -4. Let r be t/21*8/(-28). Which is smaller: p or r?
r
Let g = 21 - 8. Let m be (1 - -1) + g + -6. Suppose -6 = -3*q - m. Which is smaller: 1 or q?
q
Let y be (-1 - (-74)/14)/(6072/41538). Which is bigger: 29 or y?
y
Let z = 828 - 481. Let f = z - 384. Is f <= 5?
True
Suppose 0 = 10*h - 6*h, 5*p = -h. Let z be (-84)/63525*(-15)/6. Which is smaller: p or z?
p
Let v = -625 - -625.047. Let g = -7.653 + 8. Let h = g - v. Which is smaller: -2 or h?
-2
Let f be 1/(-2) - (-25)/2. Let d = -89 - -158. Let q = d + -56. Which is smaller: q or f?
f
Let v be 25/((-75)/(-18)) + (-1668)/(-2). Is v greater than 839?
True
Suppose -2336*j + 2354*j = 0. Is 3/20908 > j?
True
Suppose 5*k = -k + 66. Suppose k*z = 7*z. Let f be z + (-674)/(-7) + 42/(-147). Is 96 smaller than f?
False
Let d(m) = 6*m + 282. Let s be d(-47). Let b be ((-148)/(-21719))/(-2 - s/(-1)). Which is smaller: -1 or b?
-1
Suppose -5*p = -5*g + 400, -143 - 122 = -3*g - 2*p. Is g < 59?
False
Let r = 1.02 - 0.69. Let o = r + -6.33. Is -18 >= o?
False
Let v(h) = -6*h**2 + 42*h + 20. Let b(m) = 13*m**2 - 86*m - 41. Let y(a) = 2*b(a) + 5*v(a). Let s be y(10). Is s less than or equal to -23/14?
True
Let o be -30445*(-2)/400*5*(7 - -1). Is 6088 less than o?
True
Let h be ((-6)/83571)/((-6 - -7)/(-1)). Let d = h - 10585678/250713. Which is greater: d or 1?
1
Let i(o) = o**3 + 14 + 6*o**2 + 10 - 25 + 6*o. Let q be i(-5). Let z be 4*(2 - 3) - 1. Which is smaller: q or z?
q
Let m(n) = 31*n + 4. Let q(s) = 46*s + 6. Let w(j) = 7*m(j) - 5*q(j). Let k be w(6). Suppose 14*v + v = -1215. Which is smaller: v or k?
v
Suppose 3*u + 5*w = 8 + 10, -5*u + 2*w = 1. Suppose 1 = -h - u. Let d = 4 - -13. Is d less than or equal to h?
False
Suppose n + 3 = -4*x + 11, -4*x + 28 = -4*n. Let z = 64 + -34. Let o be (-1)/5 - (-36)/z. Are o and x unequal?
True
Let f = 0.18797 + 49.81203. Which is greater: f or -4?
f
Let t = -52965/4 + 13174. Let o be 3/(36/272)*3. Let b = o + t. Which is smaller: b or -1?
-1
Suppose -4*l + 7*l + 287 = -5*t, 5*l + 473 = -3*t. Let q be ((-2)/l)/((98/(-21))/(-14)). Which is smaller: q or 1?
q
Let f be (-32)/(-4) - (5 + (-3 - -5)). Is f at least as big as 1/897?
True
Suppose -10*x - 3*x + 26 = 0. Suppose -2*o + 23 = -k, -5*k + x*o + 3*o = 90. Which is smaller: k or -11?
k
Let y = 1937 + -1924. Which is bigger: 570/43 or y?
570/43
Suppose -4*u + 11 + 37 = 0. Suppose 0 = -8*w + 2*w + 18. Let n = w - u. Which is bigger: n or -8?
-8
Let s be -1*((-8438)/5 + 188/(-470)). Which is bigger: s or 1685?
s
Let p(d) = -d + 9. Let t be p(-1). Let n be (-2)/3*36*t/5. Which is greater: n or -46?
-46
Let o(j) = 3*j**3 - 9*j**2 - 18*j - 2. Let s be o(-2). Let f = 3 + -31. Let i = s - f. Which is smaller: i or -5?
-5
Let p be -4*3/(-9) + 2. Suppose -8*s + 50 = 2*s. Suppose z - 18 = 5*x, z = -2*z + s*x + 24. Is p > z?
True
Let z be (-7 - -12 - -1) + (-47)/8. Let o = -96 - -92. Which is greater: o or z?
z
Let q = 8.3758 + -186.4488. Let w = q - -178. Which is bigger: 0 or w?
0
Let z be (-3)/(6/29880*10). Which is bigger: z or -1495?
z
Let j = 90615/181222 + -2/90611. Which is greater: 1530 or j?
1530
Let u = -7.6 - 13.7. Let h = -21 - u. Is h at least -0.1?
True
Let g be (-2377)/(-1044) + -1 - 166/664 - 1. Which is smaller: -1 or g?
-1
Let w = -8567 + 8469. Which is greater: w or 4/23?
4/23
Suppose 2*o - 4*n - 24 = 0, -13 = -5*o + 2*n + 15. Let r be (18/(-27))/(o/3). Let u be 5 + -4 + -1 - 6/(-9). Does u = r?
False
Let s = -16022 + 16024. Is 122/203 less than s?
True
Let v(z) = -2*z**2 - 5*z + 35. Let h(l) = l**2. Let d(n) = h(n) + v(n). Let a be d(-9). Let f be 288/(-1947) - 2/(-11). Is a less than or equal to f?
True
Let j be -2 - 50455/(-23920) - 18/288. Which is greater: 0 or j?
j
Let o = -5 - -29. Suppose -m - 2*m = -4*x + o, -5*x = 0. Let t(b) = b**3 + 9*b**2 + 6*b - 17. Let a be t(m). Which is smaller: a or -1/12?
a
Let z = -1.8 - -2. Let r = 61 + -61.172. Let n = r + 0.372. Is z bigger than n?
False
Suppose -3*p = 2245 - 2233, -k = 5*p + 1144. Which is smaller: -14610/13 or k?
k
Let d = -4151 - -3968. Which is smaller: d or 0.1?
d
Let w = 1.61152 + -0.11152. Is 1/24 equal to w?
False
Let z be 12/38*738/(-61623). Which is smaller: z or -1?
-1
Suppose 275*g - 44239 - 9661 = 0. Is g != 154?
True
Let l(f) = 2*f**3 - 3*f**2 + 4*f - 1. Let v = -86 - -83. Let d(p) = 3*p**3 - 7*p**2 + 8*p - 3. Let q(i) = v*d(i) + 5*l(i). Let h be q(-8). Is -92 > h?
False
Let w(v) = 18*v. Let y(j) = -j**2 + 9*j - 8. Let d be y(7). Suppose -3*x + 5 = -p + d, 0 = -x - 5*p - 11. Let n be w(x). Is -18 > n?
False
Let i be 3/((-135)/(-6)) - 1510/75. Let q = -5.12 - -0.12. Which is bigger: i or q?
q
Let o = -2558 - -2472. Which is smaller: o or 1.4?
o
Let x(z) = 2*z**2 - 2*z + 1. Let y be x(2). Suppose r + 3*k = 5*r - 26, 5*r - 3*k - 31 = 0. Let j be y + -43 + 10/r. Is j <= -37?
False
Let t(x) = x**2 - 3*x - 12. Let a be t(-5). Suppose -12 = -3*p, -3*j + 5*p = -a - 6. Let g be (j + -16)*(-1 - (-2)/4). Which is smaller: -10/31 or g?
g
Let n = -707 - -697. Is -3/103 < n?
False
Let i(x) = -14*x**2 + 1. Let r be i(-1). Let o(w) = -6*w + 127. Let n be o(21). Let z = n - r. Is z at least as big as 27/2?
True
Let r be (-1 + -2)*(24 - 26) - (2 - -2). Are 152/145 and r nonequal?
True
Suppose 4*t = -0*t + 68. Suppose -2*k + 0*c - t = -c, k = c - 10. Let q = 2350 - 2358. Which is greater: q or k?
k
Suppose 0 = -3*z - 3, 5*w - w - 3*z - 35 = 0. Suppose -4*g = 4*s - w, -4*s = g + 2*g - 9. Is g at most 1/6?
True
Let r = 38 - 23. Let n(s) = -249*s**3 - 3*s**2 + 3*s - 2. Let h be n(1). Let k = 267 + h. Which is bigger: r or k?
k
Let s(p) = -p**2 - 190*p + 3223. Let k be s(16). Is k at least as big as -1256/17?
True
Let u(v) = 13*v**2 - 6*v + 6. Let p be u(6). Is p equal to -12?
False
Let j = -61 - -61. Suppose -11*d + 448 + 1620 = j. Let n = -572/3 + d. Which is smaller: n or -3?
-3
Suppose -5*t = -3*c - 76, -7*c + 5*t = -2*c + 120. Let s be ((-11)/c)/(2/(-12)). Let g = -0.3 + -1.7. Is g at most s?
False
Let l(b) = 4*b + 73. Let y be l(-17). Let h be (-1 + y)/4 - -6. Let q(k) = k**3 - 7*k**2 + 2*k - 15. Let w be q(h). Which is greater: w or 5/19?
5/19
Suppose 48 = 8*s - 2*s. Let q be 708/s*16/12. Suppose -q = 3*t - 1. Is t not equal to -38?
True
Let s(t) = -2*t**2 + 9*t. Let y be s(0). Suppose y = -57*d + 56*d. Is 1/427 equal to d?
False
Suppose -f + 5*b - 21 = 9*b, 4*f - 21 = 5*b. Which is smaller: -30/163 or f?
f
Let l be (-6)/(-21) + (-40)/91. Let y(j) = 52*j - 50. Let f be y(1). Let n be (-1 - 1)/(19/((-19)/f)). Which is smaller: n or l?
l
Let d = 11357 - 11004. Is d < 352?
False
Let p be 0 + (1 - (-1)/3 - 114/72). Which is greater: p or -2127?
p
Let g(r) = -5*r + 44. Let d be g(0). Let m = d - -18. Which is smaller: 64 or m?
m
Suppose 139*z = 25*z + 13*z - 311080. Which is greater: z or -9238/3?
-9238/3
Suppose -s - 1 = -2*x, 2*x + x = 4*s - 11. Let j(a) = -3*a**2 - 44*a - 29. Let o be j(-14). Let y be (o + 12/x)*17/(-3). Which is bigger: -18 or y?
y
Let k(g) = -11*g**2 + g - 1. Let o be k(1). Suppose 4*x = 4*i + 1768, 1728 = -4*i - 11*x + 7*x. Let f = i + 425. Which is greater: o or f?
o
Suppose 3*z - t + 1188 + 4611 = 0, 5*z + 3*t = -9651. Let a = z - -36700/19. Which is smaller: a or 1?
a
Let n = -42059/44 + 10380/11. Which is greater: -0.036 or n?
-0.036
Let | {
"pile_set_name": "DM Mathematics"
} |
**5/4 - 49*i**4/12 + 4*i**3 + 1657*i**2. Determine u so that j(u) = 0.
-12/5, 2/3, 1
Let v(q) be the third derivative of 0*q**3 + 1/1512*q**8 + 0*q**5 + 3*q**2 + 0*q**4 + 0*q + 2/945*q**7 - 1/180*q**6 - 7. Let v(k) = 0. Calculate k.
-3, 0, 1
Let z(n) be the third derivative of n**5/240 + 359*n**4/48 - 719*n**3/24 + 469*n**2 - 8. Solve z(a) = 0.
-719, 1
Let t(z) = -z**3 - 19*z**2 - 59*z + 15. Let s be t(-15). Solve 3*p + 12*p + s*p + 4*p**2 - 7*p + 0*p = 0.
-2, 0
Let f be -7 + ((1470/(-9))/7 - -19)*18/(-10). Solve 2/5*s**5 + 16/5*s**3 - 18/5*s + 8/5 - 12/5*s**4 + f*s**2 = 0 for s.
-1, 1, 4
Let z(m) be the second derivative of -1/57*m**3 + 1/114*m**4 + 1/190*m**5 - 1/285*m**6 + 0*m**2 + 51 - 2*m. Factor z(q).
-2*q*(q - 1)**2*(q + 1)/19
Let g(f) = -4*f - 1 + 2*f - 22*f**2 + 16*f**2 + f**3 + 4*f**2. Let o(q) = -4*q**3 + 68*q**2 - 438*q - 1154. Let k(d) = -2*g(d) - o(d). Factor k(m).
2*(m - 17)**2*(m + 2)
Let a(h) be the first derivative of -5*h**3/3 + 1895*h**2/2 + 1900*h + 1020. Determine r so that a(r) = 0.
-1, 380
Suppose 493*p + 9*u + 266 = 498*p, 0 = 4*p - 3*u - 154. Factor -p + 1/2*r**2 + 55/2*r.
(r - 1)*(r + 56)/2
Let t(z) be the first derivative of -9*z**3 - 1617*z**2 + 720*z + 8912. Solve t(b) = 0 for b.
-120, 2/9
Let j(m) = 23*m**2 - 2*m - 1. Let i(y) = 70*y**2 + 595*y + 1791. Let v(p) = -5*i(p) + 15*j(p). What is c in v(c) = 0?
-598, -3
Let d(z) = 3*z**3 - 140*z**2 + 89*z + 140. Let h be d(46). Factor 10/3*b + 2/3*b**4 - 10/3*b**3 - 2/3*b**h + 0.
2*b*(b - 5)*(b - 1)*(b + 1)/3
Let g be (2 + -4)/((-20)/50). Suppose -3*r = 9, g*m - 7*r - 16 = -5*r. Factor 5/2*y + 15/4*y**3 + 25/4*y**m + 0.
5*y*(y + 1)*(3*y + 2)/4
Let o be (196/(-20) - -10)*(-1 + (-4)/(-3)). Let h(r) be the second derivative of -2/3*r**4 + 0 + o*r**5 - 16/3*r**2 + 2*r + 8/3*r**3. Factor h(l).
4*(l - 2)**3/3
Let t be (-5)/3*3*(-24)/20. Factor -39*a + 5*a**2 + 90 + t*a**2 - 14*a**2 + 6*a**2.
3*(a - 10)*(a - 3)
Let x(b) be the first derivative of b**5/12 + 11*b**4/18 + 23*b**3/18 + b**2 + 61*b - 5. Let a(q) be the first derivative of x(q). Determine l so that a(l) = 0.
-3, -1, -2/5
Suppose 0 + 3/5*a**4 - 12/5*a**3 - 6/5*a + 3*a**2 = 0. Calculate a.
0, 1, 2
Let q be 291*5*(46/(-3) - -15). Let k = q - -535. Solve -6*m**2 - k + 2/5*m**3 + 30*m = 0.
5
Let a(l) = -3*l**4 - 22*l**3 - 33*l**2 - 18*l. Let x(y) = 22*y**3 + 19*y**3 - 62*y**3 + 20*y**3. Let b(r) = -a(r) + 4*x(r). Factor b(n).
3*n*(n + 1)*(n + 2)*(n + 3)
Let t(x) be the first derivative of -5*x**6/6 - 99*x**5 - 6705*x**4/2 - 56590*x**3/3 - 28905*x**2/2 + 99405*x - 1625. Suppose t(k) = 0. Calculate k.
-47, -3, 1
Let q(c) be the second derivative of -c**5/200 + 373*c**4/40 - 139129*c**3/20 + 51895117*c**2/20 + 291*c. Factor q(p).
-(p - 373)**3/10
Let v(g) be the first derivative of -35 - 1/10*g**5 + 19*g**2 + 1/40*g**6 + 0*g**3 + 1/8*g**4 + 0*g. Let s(m) be the second derivative of v(m). Factor s(i).
3*i*(i - 1)**2
Let f = 1288 - 1280. Suppose -n - 4*a = -f*a - 6, 0 = -4*n + 4*a + 12. Let 3/2*k**n + 11/4*k + 3/2 + 1/4*k**3 = 0. What is k?
-3, -2, -1
Let k = 36292 + -181456/5. Solve -4/5*l**2 - 2/5*l + k*l**4 + 2/5*l**5 + 0 + 0*l**3 = 0 for l.
-1, 0, 1
Let r(o) be the second derivative of -o**7/294 + o**6/30 + 41*o**5/140 + 11*o**4/28 - 2*o + 2243. Let r(x) = 0. What is x?
-3, -1, 0, 11
Let j(p) be the first derivative of 12/7*p**3 - 9/14*p**4 + 3/35*p**5 + 28 + 9/7*p - 15/7*p**2. Solve j(a) = 0.
1, 3
Let d(w) be the second derivative of -w**4/48 + 487*w**3/12 + 975*w**2/8 + 80*w + 9. Find r such that d(r) = 0.
-1, 975
Let o(n) be the first derivative of 7*n**5/60 + n**4/12 - 5*n**2/2 + 2*n - 114. Let v(x) be the second derivative of o(x). Factor v(w).
w*(7*w + 2)
Let i(f) be the first derivative of -3*f**5/5 - 9*f**4/2 - 9*f**3 - 426. Determine t so that i(t) = 0.
-3, 0
Let a = 3184/545 + -568/545. Suppose -36/5 - 3/5*c**2 + a*c = 0. Calculate c.
2, 6
Let n(k) be the second derivative of -9*k**4/4 + 19*k**3 - 60*k**2 - 1125*k. Determine i so that n(i) = 0.
2, 20/9
Let v = -2157 + 3142. Find t, given that -v*t - 20 + 1010*t - 4*t**2 - t**2 = 0.
1, 4
Let u(y) = -7*y**3 - 27*y**2 + 558*y + 3518. Let f(t) = -50*t**3 - 190*t**2 + 3905*t + 24625. Let o(a) = 2*f(a) - 15*u(a). Solve o(s) = 0 for s.
-8, 11
Let j = 2258 - 2254. Let c be (j - (-4 + 11)) + 7. Factor -4/7*t**2 + 0 + c*t.
-4*t*(t - 7)/7
Suppose -141*v - 75 = -10*b - 146*v, -3*b - 5*v + 40 = 0. Solve -6300*p + 3610*p**2 - 2881/9*p**3 - 1/9*p**b + 92/9*p**4 + 3000 = 0.
1, 30
Let g(n) = -3*n**3 - 35*n**2 + 77*n - 39. Let u(f) = 12*f**3 + 141*f**2 - 309*f + 156. Let l(p) = -9*g(p) - 2*u(p). Determine s so that l(s) = 0.
-13, 1
Suppose -8*y = -3*y. Factor -h**2 + 16 + 2*h**3 + y - 5*h**2 - 1650*h + 1638*h.
2*(h - 4)*(h - 1)*(h + 2)
Let b = -42233 + 168017/4. Let n = 229 + b. Find v such that -n*v**2 - 1/4 + 1/2*v = 0.
1
Let c be 0*(-3 - 0)/6. Let n be c + 0 - (3 + -143)/5. Solve -12*o**4 + 69 - 69 - 8*o**2 - n*o**3 = 0.
-2, -1/3, 0
Let j(i) be the third derivative of -7*i**8/72 - 107*i**7/9 + 506*i**6/15 + 2548*i**5/45 - 1012*i**4/9 + 208*i**3/3 + i**2 - 516. Solve j(x) = 0.
-78, -1, 2/7, 2
Let m(k) be the second derivative of -k**5/30 + k**4/4 + 6*k**3 + 71*k**2 - 9*k - 5. Let p(d) be the first derivative of m(d). Solve p(t) = 0 for t.
-3, 6
Let o(z) be the third derivative of z**5/80 - 7*z**4/32 - 39*z**3/4 - 1121*z**2 - 1. Factor o(h).
3*(h - 13)*(h + 6)/4
Let i(j) be the third derivative of -3*j**2 + 7/270*j**5 + 10*j + 0 - 1/54*j**4 + 0*j**3. Factor i(h).
2*h*(7*h - 2)/9
Let t(f) be the second derivative of -35*f**4/12 + 100*f**3/3 + 30*f**2 - 1190*f. What is h in t(h) = 0?
-2/7, 6
Solve -15*u + 0 - 5/2*u**5 + 149/2*u**2 + 11/2*u**3 - 29/2*u**4 = 0.
-5, -3, 0, 1/5, 2
Let c be (-18)/(-33) - (72/48)/((-44)/(-8)). Let s(n) be the first derivative of 1/33*n**3 - 1/44*n**4 + c*n + 39 + 5/22*n**2. Factor s(y).
-(y - 3)*(y + 1)**2/11
Let d(u) be the first derivative of -u**9/5292 + u**8/980 - 2*u**6/315 - 25*u**3/3 - 56. Let x(j) be the third derivative of d(j). Factor x(l).
-4*l**2*(l - 2)**2*(l + 1)/7
Let q(i) be the first derivative of 2*i**5/65 - 3*i**4/26 - 4*i**3 + 80*i**2/13 + 3645. Solve q(p) = 0.
-8, 0, 1, 10
Factor 5/3*c**2 + 460/3 + 155*c.
5*(c + 1)*(c + 92)/3
Solve -436/13 + 2/13*r**2 + 214/13*r = 0.
-109, 2
Let b(a) be the first derivative of -a**4/18 + 22*a**3/27 + 5*a**2 - 126*a + 2915. Solve b(k) = 0.
-7, 9
Let h(q) be the third derivative of q**8/504 + q**7/35 - 5*q**6/36 - 173*q**5/90 - 20*q**4/3 - 100*q**3/9 - 1830*q**2. Determine m, given that h(m) = 0.
-10, -2, -1, 5
Let r(c) be the third derivative of c**6/360 + 2*c**5/45 + 2*c**4/9 - 1987*c**2. Suppose r(q) = 0. What is q?
-4, 0
Let u = 3953/154674 - -1/11898. Let l(m) be the second derivative of 16*m + 0*m**2 + 0 - 1/39*m**3 + u*m**4 - 1/130*m**5. What is t in l(t) = 0?
0, 1
Find t, given that 644/17*t + 2/17*t**2 - 38 = 0.
-323, 1
Let k(t) be the first derivative of -9*t**5/70 + 5*t**4/6 - 32*t**3/21 - 4*t**2/7 - 70*t - 12. Let x(d) be the first derivative of k(d). Factor x(j).
-2*(j - 2)**2*(9*j + 1)/7
Factor -557/4 - 279/2*q - 1/4*q**2.
-(q + 1)*(q + 557)/4
Let s(d) = -2*d**2 - 49*d - 11. Let l be s(-24). Suppose -l*p - 25 = -18*p. Let -16/5*a**2 - 24/5*a**3 - 16/5*a**4 + 0 - 4/5*a - 4/5*a**p = 0. What is a?
-1, 0
Let j(d) = -3*d**2 + 4*d + 2. Let b be j(0). Let f(m) be the third derivative of -41*m**b + 0*m + 5/132*m**4 - 3/22*m**3 + 0 - 1/660*m**5. Solve f(t) = 0.
1, 9
Let v(c) be the first derivative of -c**4/22 - 100*c**3/33 + 104*c**2/11 + 6890. Solve v(x) = 0 for x.
-52, 0, 2
Let i(s) = -512*s**3 - 2771*s**2 + 33*s - 23. Let q(n) = -64*n**3 - 342*n**2 + 4*n - 3. Let y(w) = 3*i(w) - 23*q(w). Find h such that y(h) = 0.
-7, 0, 1/64
Let k = -1151 - -1149. Let g be (-1722)/(-336) + (-1 + -6 - k). Factor 5/8*d + 0 - g*d**3 + 1/2*d**2.
-d*(d - 5)*(d + 1)/8
Factor -34/13*v**2 - 2/13*v**3 - 6 - 110/13*v.
-2*(v + 1)*(v + 3)*(v + 13)/13
Let u(l) be the second derivative of -87*l + 1/42*l**4 - 5/7*l**2 + 0 - 4/21*l**3. Suppose u(k) = 0. What is k?
-1, 5
Let p = 161305/2016 + -9205/96. Let u = p + 148/9. Determine r so that -2/7*r**5 + u*r + 10/7*r**2 + 0 - 2/7*r**4 + 6/7*r**3 = 0.
-1, 0, 2
Let a be (32/(-6))/((-21)/63). Suppose 15*j = 11*j + a. Let 3 - 9*p**j - 8 - 7*p**4 + 10*p**2 + 11*p**4 = 0. Calcu | {
"pile_set_name": "DM Mathematics"
} |
88)*1))*-3)**2.
-216*sqrt(2) + 2601
Simplify 5 + (4*sqrt(220))/sqrt(5) + -5*(-1*sqrt(1584) - sqrt(1584))**2 + 5.
-31670 + 8*sqrt(11)
Simplify ((-1 + (sqrt(1377)*1 - sqrt(17)))**2 + sqrt(51)/(sqrt(21)/(sqrt(14)/sqrt(2))))*-5.
-5445 + 75*sqrt(17)
Simplify 6*(-4 + ((sqrt(192) - (-1 + sqrt(192)))*6 - sqrt(192)) + 2).
-48*sqrt(3) + 24
Simplify ((sqrt(204)*-1 - sqrt(204))*3 - (-1*sqrt(204) - sqrt(204))*-5)/(sqrt(1452)*-2 + sqrt(1452) - (sqrt(1200)*1 + sqrt(1200) - sqrt(12))).
8*sqrt(17)/15
Simplify (sqrt(3388)*-2 + 5*sqrt(448))/(sqrt(36)*4*-4).
sqrt(7)/24
Simplify ((sqrt(117) + (sqrt(117) - (sqrt(117) + (sqrt(117) - (sqrt(117) - sqrt(117)*-1))*1)))/sqrt(3))/(sqrt(30)/(-6*sqrt(30)/sqrt(3))).
-12*sqrt(13)
Simplify sqrt(44)/(sqrt(64)*2) - (5*(sqrt(11) + -1) + 4).
-39*sqrt(11)/8 + 1
Simplify 2*sqrt(1700) + -3 + -1 + (3*(2*sqrt(1700) + 0))**2.
20*sqrt(17) + 61196
Simplify 3 + (5 + (2 + sqrt(9072))*3)**2.
2376*sqrt(7) + 81772
Simplify -3 + sqrt(156)/sqrt(3)*-4 + ((sqrt(117) - (sqrt(117) - (sqrt(117) - 1*-1*sqrt(117))))/(-1*sqrt(1296)))**2.
-8*sqrt(13) - 95/36
Simplify ((-5*(0 + sqrt(162)) + sqrt(162))**2 + (1 + sqrt(2) + -1 + sqrt(2) - (sqrt(40)/sqrt(2) - sqrt(20))/sqrt(10)))*-1.
-2592 - 2*sqrt(2)
Simplify (4 + ((-3*sqrt(242))/sqrt(11))/(2*sqrt(18))*-2)**2.
8*sqrt(11) + 27
Simplify -5*(-4 + (sqrt(396)*-2)**2 + (-1*(sqrt(396) + sqrt(396) + -2))**2 + 1).
-15845 + 240*sqrt(11)
Simplify (3 + (0 + sqrt(1700) + sqrt(1700))*-3 + 4)*-4 + -1.
-29 + 240*sqrt(17)
Simplify -4*(-3 + -2 + -2*sqrt(76)).
20 + 16*sqrt(19)
Simplify (sqrt(119)/sqrt(63)*2)**2 + ((sqrt(17) - (sqrt(17) + sqrt(68) + sqrt(17)))*4)**2 + (-3 + -1 + sqrt(17))**2.
-8*sqrt(17) + 22397/9
Simplify (sqrt(600)*2)/(sqrt(12) + (sqrt(12) - (sqrt(72) - (sqrt(72) - sqrt(72)*-3) - sqrt(72))/sqrt(6))) + -1.
-1 + 5*sqrt(2)/3
Simplify ((-2*sqrt(5) - sqrt(5)) + 3)**2 - (sqrt(20)*1 + sqrt(5) - sqrt(5))**2 - 4*sqrt(1125).
-78*sqrt(5) + 34
Simplify ((sqrt(252) - (sqrt(252) + sqrt(252) + sqrt(252) + (sqrt(252) - (2*sqrt(252) + sqrt(252)))))*-3)/sqrt(9) + (4*(sqrt(336)*-2 + sqrt(336)))/sqrt(12).
-8*sqrt(7)
Simplify 2*(-6*sqrt(6912)*1 - 2*(-1 + sqrt(6912)))**2.
-3072*sqrt(3) + 884744
Simplify -5*((-1*sqrt(5) + -4 - sqrt(30)/sqrt(6)*4)*-5)**2.
-17625 - 5000*sqrt(5)
Simplify (-4 + -5*(-1 + sqrt(180) + 3 + -5))**2.
-660*sqrt(5) + 4621
Simplify (sqrt(7) + sqrt(252)/sqrt(9) + 0 - sqrt(567)/(sqrt(18)/sqrt(2))) + 1.
1
Simplify sqrt(190)/(sqrt(60)/sqrt(6)) - (-3*sqrt(209) + sqrt(209))/sqrt(11) - (-4*(1 + sqrt(475) + sqrt(475) - sqrt(475)) - 1*1*sqrt(475))**2.
-11891 - 197*sqrt(19)
Simplify -1*((4*((sqrt(153) - sqrt(153)*-2) + sqrt(153)))/sqrt(9) - -5*(sqrt(17) + 2*sqrt(833) + sqrt(833))).
-126*sqrt(17)
Simplify (sqrt(500) + 0)*-6*3*-3.
540*sqrt(5)
Simplify 2 + (-1*sqrt(432))**2 + sqrt(48) + sqrt(3) + 4 + -1 + -3.
5*sqrt(3) + 434
Simplify ((sqrt(77) - -5*(1*sqrt(77) + sqrt(77))) + (sqrt(77)*-2 + sqrt(77) + sqrt(77))*4)/(-4*sqrt(396)*-4).
11*sqrt(7)/96
Simplify (0 + sqrt(288) + -4 - ((-2 + sqrt(288))*3)**2)*-2.
-888*sqrt(2) + 5264
Simplify 2*((sqrt(720) + sqrt(720) + 0 - sqrt(720))*-5 + -5 + sqrt(720)*-3)**2.
1920*sqrt(5) + 92210
Simplify (sqrt(128) - (sqrt(128) + -6*(sqrt(128) + 1*sqrt(128))) - sqrt(128))**2 + (6*1*sqrt(72) + sqrt(72))/sqrt(9).
14*sqrt(2) + 15488
Simplify ((-3*sqrt(76)*1)/sqrt(4) + 4*(0 + sqrt(19))*4)**2.
3211
Simplify (-1 + -2*sqrt(11) + 5)**2 + 1 + (0 + sqrt(11))**2 + 0.
-16*sqrt(11) + 72
Simplify ((-2*sqrt(1053)*2)**2 + sqrt(65)/(-2*sqrt(5)) + 5)*-6.
-101118 + 3*sqrt(13)
Simplify ((sqrt(70)*-1)/sqrt(5))/sqrt(7) - (1 + (sqrt(242) + -1 - sqrt(242) - sqrt(242)) + sqrt(242)).
-sqrt(2)
Simplify sqrt(36)/sqrt(3)*2*4 - ((0 + sqrt(75))*-5 - (sqrt(75) + -2*(1 + sqrt(75)) - sqrt(75))).
-2 + 31*sqrt(3)
Simplify (5*(sqrt(156) + (sqrt(156) + sqrt(156) + 1*sqrt(156) - sqrt(156)))/(sqrt(147) - -2*sqrt(147)))**2.
1300/49
Simplify ((sqrt(117) + (sqrt(117) - 2*sqrt(117)) + sqrt(117))*3 + sqrt(117)*2*5)/(((sqrt(27)*-2)/sqrt(3) + sqrt(9))*2).
-13*sqrt(13)/2
Simplify 0 + sqrt(72) + 1 + (sqrt(20)/(sqrt(10) - (sqrt(490) + (sqrt(490) - sqrt(490)*1) + sqrt(490))))**2.
171/169 + 6*sqrt(2)
Simplify (5*sqrt(63)*-1 + sqrt(63))/(-2*sqrt(9)*-4).
-sqrt(7)/2
Simplify -2 + ((sqrt(144) - (-1*sqrt(144)*5 + sqrt(144))) + sqrt(144) + sqrt(144) + sqrt(144) - sqrt(144))/(sqrt(8)*-2*-2).
-2 + 21*sqrt(2)/4
Simplify 2*(sqrt(60)*-1)/(-1*sqrt(363)).
4*sqrt(5)/11
Simplify ((((sqrt(72) + -2*sqrt(72))*-1)/sqrt(3))/((sqrt(8) - (sqrt(32) - sqrt(512))/sqrt(4))*6))**2 + -5.
-959/192
Simplify (sqrt(66)/(sqrt(126)/sqrt(7) - sqrt(2)))/(sqrt(55)/(sqrt(320) + (sqrt(320) - sqrt(320)*-3) + sqrt(5))).
41*sqrt(3)/2
Simplify (4 + (0 + sqrt(1539))*3)**2 + -5 + sqrt(1539) + ((2 + (-1 + sqrt(1539) - sqrt(1539)) - sqrt(1539))**2 - sqrt(1539)).
198*sqrt(19) + 15402
Simplify (-2*(0 + sqrt(300))**2 + (((sqrt(300) + 0 + sqrt(300))*4)**2 - sqrt(300)) + sqrt(300))*-2.
-37200
Simplify (sqrt(209)*-2*-5*2)/((sqrt(539) - (sqrt(539) + sqrt(539) + (sqrt(539) - sqrt(539)*-2) + sqrt(539) + sqrt(539)))*2).
-5*sqrt(19)/21
Simplify -1*(((1*sqrt(539) + sqrt(539) - sqrt(539)) + sqrt(539) + sqrt(539))**2 + -4) - (6*sqrt(176) + (sqrt(55)/(sqrt(15)/sqrt(3)) - sqrt(11))).
-4847 - 24*sqrt(11)
Simplify ((-3*(sqrt(245)*-1 - sqrt(245)) - sqrt(245) - sqrt(245))/sqrt(5))/(6*-6*(sqrt(28) + sqrt(7))) + -3.
-3 - sqrt(7)/27
Simplify (-4 + (1*sqrt(2057) - sqrt(2057)))**2 + (sqrt(68) + -4 + -2)**2.
-24*sqrt(17) + 120
Simplify (5*sqrt(54) - sqrt(6))/(sqrt(147)*1) - (4 + 1*sqrt(128) + -4 + sqrt(128))**2.
-512 + 2*sqrt(2)
Simplify (sqrt(150)/(sqrt(60)/sqrt(294)))/((sqrt(15)*-1*-6 - sqrt(15))/sqrt(3)).
7*sqrt(3)/5
Simplify (sqrt(102)/sqrt(3))/sqrt(2) - (3 + sqrt(17)*-2) - sqrt(68)/(-1*sqrt(576)).
-3 + 37*sqrt(17)/12
Simplify (sqrt(12) - (sqrt(12) + 5 + sqrt(60)/sqrt(5)))**2 - (sqrt(240) - sqrt(240)*3)/sqrt(5).
37 + 28*sqrt(3)
Simplify -5 + ((sqrt(4840)*-1 + sqrt(4840))/(sqrt(512) - sqrt(512)*-3))**2.
-5
Simplify (-3*((sqrt(15)/sqrt(3) + sqrt(5) + -2)*5 - (sqrt(605) + 1 - (sqrt(5) + 1*sqrt(180) + sqrt(5)))))**2.
-1386*sqrt(5) + 3294
Simplify 6*(-3*-1*(1 + sqrt(13)) + (sqrt(52)/sqrt(4) + 5)*-2)**2.
-84*sqrt(13) + 372
Simplify ((sqrt(228) - (sqrt(228) + sqrt(228)*1)*-5) + sqrt(228) + sqrt(228))/(-3*sqrt(84)/sqrt(7)).
-13*sqrt(19)/3
Simplify (-4*sqrt(66)/sqrt(6)*-5)**2 + sqrt(88)/((sqrt(8) - 2*sqrt(8))*2).
-sqrt(11)/2 + 4400
Simplify ((2 + sqrt(3))*3 + -3 + ((0 + sqrt(3))*-5 - sqrt(27)/sqrt(36)))**2.
-15*sqrt(3) + 111/4
Simplify (-1 + (1*sqrt(108)*5*4 - (6*1*sqrt(108) + 3)))**2.
-672*sqrt(3) + 21184
Simplify (-1*(-6*sqrt(192)*3 + 4))**2 + -3.
-1152*sqrt(3) + 62221
Simplify 6*((sqrt(18) + (1*sqrt(72))/sqrt(4))/(sqrt(96)/sqrt(4) + sqrt(6)))**2*-2.
-16
Simplify -3 + 3*(sqrt(847) + -5 + 1 + sqrt(847)).
-15 + 66*sqrt(7)
Simplify sqrt(20)/sqrt(64) + 5 + ((sqrt(560) + sqrt(35) - sqrt(35))*-6)/sqrt(7) + 1.
-95*sqrt(5)/4 + 6
Simplify (-2 + -2*(sqrt(243) + sqrt(3)))**2 - (5*sqrt(300) + 1).
30*sqrt(3) + 1203
Simplify ((sqrt(931) + sqrt(931) + 0)*-4 + -3 + 4*(sqrt(931) + -1)*-4 + 2)**2.
-5040*sqrt(19) + 536481
Simplify 1 + -5*-5*(-2 + (sqrt(80) - (sqrt(80) + (sqrt(80) + 0)*-3 - sqrt(80)))**2).
31951
Simplify (sqrt(1872)*4 + 1)**2 + (sqrt(1872) - ((sqrt(1872) + 5 + sqrt(1872) - sqrt(1872)) + -1)**2).
12*sqrt(13) + 28065
Simplify sqrt(68)*-2*-4 + -2*sqrt(68)*-1 - ((sqrt(68) - (1 + sqrt(68) + sqrt(68))*1) + sqrt(68) + -5).
6 + 20*sqrt(17)
Simplify (4 + sqrt(7)*-1 + sqrt(42)/sqrt(24) + 0)**2 - ((sqrt(252) - (-1 + (sqrt(252)*-1 + sqrt(252) - sqrt(252))))*3)**2.
-36253/4 - 220*sqrt(7)
Simplify (sqrt(1960) + (sqrt(1960)*-1 + sqrt(1960))*2)/(-1*sqrt(8)*-1 + sqrt(8) + sqrt(48)/sqrt(96)).
28*sqrt(5)/9
Simplify (sqrt(1575)*-1 + 4 - (-6*sqrt(672))/(sqrt(60)/sqrt(40)))**2.
264*sqrt(7) + 7639
Simplify ((1*5*sqrt(33)/sqrt(3)*-2)**2 + -1)*5 + 3.
5498
Simplify (sqrt(63)/sqrt(576) + sqrt(2016)/sqrt(8)*-5)*1.
-239*sqrt(7)/8
Simplify 3 + sqrt(833) + (sqrt(833) - (sqrt(833)*2 + 0))**2 + (4 + sqrt(833) + (2*sqrt(833) + sqrt(833) - sqrt(833)) + sqrt(833))**2 + -5.
231*sqrt(17) + 14175
Simplify (1 + -1*sqrt(539)*1*-2 + 5)**2.
168*sqrt(11) + 2192
Simplify -5 + 5 + (sqrt(17) + sqrt(17) + (3*sqrt(204))/sqrt(12) + -1 + sqrt(2448))**2.
-34*sqrt(17) + 4914
Simplify (-2*(-1 + (sqrt(891) + -2*sqrt(891) + 2)*-4)*6)**2.
-93312*sqrt(11) + 2064528
Simplify ( | {
"pile_set_name": "DM Mathematics"
} |
98
What is next in 1533, 3065, 4593, 6117?
7637
What is the next term in -669, -886, -1117, -1362, -1621, -1894?
-2181
What comes next: -514, -493, -474, -457, -442, -429?
-418
What is the next term in -13673, -54707, -123097, -218843, -341945, -492403?
-670217
What is next in -6693209, -6693208, -6693207, -6693206, -6693205, -6693204?
-6693203
What is the next term in -32069, -32068, -32069, -32072, -32077?
-32084
What is the next term in 67450, 134925, 202418, 269929, 337458?
405005
What comes next: -4178, -4180, -4182, -4184?
-4186
What comes next: -4406221, -4406217, -4406211, -4406203, -4406193, -4406181, -4406167?
-4406151
What is next in 1317, 1300, 1273, 1236, 1189, 1132, 1065?
988
What comes next: 117505, 235009, 352513, 470017?
587521
What is the next term in 165, 704, 1617, 2904, 4565?
6600
What is next in 8, -5, -10, -13, -20, -37, -70?
-125
What comes next: -322, -596, -870, -1144?
-1418
What is the next term in 56696, 56691, 56686, 56681, 56676, 56671?
56666
What is next in -135, -248, -363, -480, -599, -720?
-843
What is next in -123, -1057, -3605, -8577, -16783, -29033?
-46137
What is next in -623, -468, -317, -170, -27?
112
What comes next: 317, 382, 447, 512, 577?
642
What is the next term in 23132, 23139, 23160, 23201, 23268?
23367
What is the next term in -1380, -1382, -1384, -1386, -1388, -1390?
-1392
What is next in 379, 360, 321, 244, 111, -96?
-395
What is the next term in 1693, 1665, 1591, 1447, 1209, 853?
355
What comes next: -70692, -70698, -70704, -70710, -70716, -70722?
-70728
What is next in -3244, -3262, -3282, -3304, -3328, -3354, -3382?
-3412
What is next in -12567, -25096, -37623, -50148, -62671?
-75192
What is next in -3820, -3904, -4044, -4240, -4492?
-4800
What is the next term in 2846, 2979, 3204, 3527, 3954, 4491?
5144
What is next in 69199, 138237, 207273, 276307, 345339, 414369?
483397
What is the next term in 1649, 3441, 5233, 7025, 8817, 10609?
12401
What is the next term in 231, 292, 437, 702, 1123, 1736, 2577, 3682?
5087
What comes next: -61, -248, -561, -1000, -1565, -2256?
-3073
What comes next: -3331, -6367, -9401, -12433, -15463, -18491?
-21517
What is next in -237, -1148, -3401, -7668, -14621, -24932, -39273, -58316?
-82733
What is the next term in -1069832, -1069833, -1069834, -1069835, -1069836?
-1069837
What is the next term in -4539, -4522, -4493, -4452, -4399, -4334, -4257?
-4168
What is the next term in 2981, 6724, 11229, 16496, 22525?
29316
What comes next: 691, 1048, 1069, 754, 103?
-884
What comes next: 512, 43, -438, -937, -1460?
-2013
What comes next: -514422, -514420, -514418, -514416, -514414, -514412?
-514410
What is the next term in -3307, -3451, -3691, -4027, -4459, -4987?
-5611
What is next in -990, -1697, -2394, -3075, -3734?
-4365
What is next in -24, 30, 124, 282, 528, 886?
1380
What is the next term in 1284, 1120, 858, 504, 64, -456, -1050?
-1712
What is the next term in 2802, 11204, 25206, 44808, 70010, 100812?
137214
What comes next: 369, 390, 431, 498, 597?
734
What is the next term in -217345, -434679, -652009, -869335, -1086657?
-1303975
What is the next term in 17423, 34666, 51909, 69152?
86395
What is the next term in 2452, 2371, 2286, 2197, 2104, 2007, 1906?
1801
What comes next: 1420, 2261, 3102, 3943, 4784, 5625?
6466
What is the next term in -1468, -1393, -1268, -1093, -868, -593?
-268
What is next in -23417, -23427, -23439, -23453, -23469, -23487?
-23507
What comes next: 593, 1286, 1979?
2672
What is the next term in 244, 271, 286, 289, 280, 259, 226?
181
What is next in 95, 557, 1345, 2465, 3923, 5725?
7877
What comes next: -22, 20, 92, 194, 326?
488
What is the next term in 128, 904, 3014, 7124, 13900, 24008?
38114
What is the next term in 172, 488, 942, 1528, 2240, 3072?
4018
What is the next term in -233, -433, -645, -875, -1129, -1413?
-1733
What is next in -2385, -2394, -2419, -2466, -2541, -2650, -2799?
-2994
What comes next: -53881, -107756, -161631, -215506, -269381?
-323256
What comes next: 584, 838, 1090, 1334, 1564?
1774
What is the next term in -177682, -177681, -177678, -177673, -177666?
-177657
What comes next: -3063, -6382, -9701, -13020, -16339?
-19658
What is next in -299, -618, -937, -1256, -1575?
-1894
What is the next term in -120685, -120683, -120681?
-120679
What comes next: 9189, 9202, 9221, 9246?
9277
What is next in -40, 109, 258, 407, 556?
705
What comes next: 130, 265, 400?
535
What is next in -1581, -1490, -1399, -1308, -1217?
-1126
What comes next: 595886, 1191769, 1787652, 2383535, 2979418, 3575301?
4171184
What is next in 2257, 2633, 3009?
3385
What comes next: 831040, 831048, 831060, 831076, 831096?
831120
What is the next term in -51963, -51968, -51977, -51990, -52007, -52028?
-52053
What is the next term in -38703, -77417, -116131?
-154845
What is the next term in -582, -1139, -1690, -2235, -2774, -3307?
-3834
What is next in 1402, 1352, 1218, 958, 530?
-108
What comes next: -958, -1910, -2844, -3748, -4610, -5418, -6160?
-6824
What is the next term in 60, 238, 532, 942, 1468, 2110, 2868?
3742
What is the next term in 1720, 1694, 1628, 1504, 1304?
1010
What is the next term in -1745, -1851, -2027, -2273, -2589?
-2975
What is next in -170331, -170329, -170327, -170325, -170323, -170321?
-170319
What comes next: -5934, -11555, -17176, -22797, -28418, -34039?
-39660
What comes next: 13116, 12889, 12672, 12471, 12292?
12141
What comes next: 1126, 2145, 3162, 4177?
5190
What is next in -14452, -14454, -14454, -14452, -14448, -14442?
-14434
What comes next: -2762, -2761, -2760, -2759, -2758?
-2757
What comes next: 23480, 23476, 23472, 23468?
23464
What is next in 204, 336, 384, 330, 156?
-156
What is next in -950, -1012, -1040, -1016, -922?
-740
What comes next: 5, 94, 295, 644, 1177?
1930
What comes next: -2424915, -4849829, -7274743, -9699657?
-12124571
What comes next: 438, 1772, 3996, 7110?
11114
What comes next: 4320, 8624, 12930, 17238, 21548?
25860
What is next in -43, -55, -83, -121, -163, -203, -235, -253?
-251
What comes next: -13742, -27466, -41190, -54914, -68638?
-82362
What is next in -85, -91, 67, 473, 1211, 2365?
4019
What is next in -43330, -86681, -130032, -173383?
-216734
What is next in 8000, 8130, 8260?
8390
What comes next: 91, 233, 395, 571, 755, 941, 1123?
1295
What comes next: 2473, 4958, 7459, 9976, 12509, 15058?
17623
What comes next: -104, -333, -880, -1907, -3576, -6049, -9488, -14055?
-19912
What is next in -252, -880, -1884, -3264?
-5020
What is the next term in 414218, 414219, 414220?
414221
What is the next term in 2274, 2275, 2276, 2277?
2278
What comes next: -1977, -2002, -2037, -2070, -2089, -2082, -2037?
-1942
What comes next: 4004, 6512, 9020?
11528
What is next in -476, -469, -474, -503, -568, -681, -854?
-1099
What comes next: 36119, 72225, 108315, 144383, 180423, 216429, 252395, 288315?
324183
What is next in -55, -28, 29, 128, 281, 500, 797?
1184
What is next in -153, -152, -145, -132, -113, -88, -57?
-20
What comes next: -272, -241, -214, -203, -220, -277, -386, -559?
-808
What comes next: -20524, -41080, -61636, -82192?
-102748
What is next in -1533, -3082, -4643, -6216, -7801, -9398, -11007?
-12628
What comes next: -362, -171, 20?
211
What is next in -67680, -67653, -67628, -67605, -67584, -67565, -67548?
-67533
What comes next: -142, -2243, -5744, -10645, -16946, -24647, -33748?
-44249
What comes next: -135, -231, -281, -261, -147?
85
What comes next: 3479, 27966, 94451, 223934, 437415, 755894, 1200371?
1791846
What is the next term in 21, 24, 21, 12?
-3
What is next in -1672, -6727, -15166, -27001, -42244, -60907, -83002?
-108541
What comes next: -407708, -815409, -1223108, -1630805, -2038500?
-2446193
What is next in -10919, -21828, -32737, -43646, -54555, -65464?
-76373
What is next in -187, -125, -57, 17, 97?
183
What comes next: -33459, -66909, -100353, -133791, -167223, -200649?
-234069
What is the next term in 75, 387, 913, 1659, 2631?
3835
What is the next term in 3976, 8008, 12084, 16204?
20368
What is next in 278, 332, 422, 548, 710, 908, 1142?
1412
What is next in 235, 460, 685?
910
What is the next term in -1623, -1683, -1743?
-1803
What is next in -127579, -255160, -382741?
-510322
What comes next: 3772, 15087, 33946, 60349, 94296, 135787?
184822
What is the next term in | {
"pile_set_name": "DM Mathematics"
} |
t is the highest common factor of b and s?
17
Let w(o) = o + 7. Let l be w(-5). Let a be (-3 - 4 - -3) + 4. Let z = a - -16. What is the highest common divisor of l and z?
2
Let d = -1589 + 1761. Calculate the greatest common divisor of d and 1118.
86
Let w be (9/4)/((-42)/(-224)). Let s be w/(-18) + (-56)/(-3). Suppose 0*g - 90 = -2*g. What is the highest common divisor of g and s?
9
Let m(b) = -2*b + 88. Let d be m(41). What is the greatest common divisor of 534 and d?
6
Suppose 2687 = 5*y - 2813. What is the greatest common factor of 44 and y?
44
Suppose -14*v - 431 = 759. Let h be (-2 + -2)*(-23)/(-2). Let d = h - v. Calculate the greatest common divisor of 13 and d.
13
Suppose -5*m = -5*a - 95, 4*m + 2*a + 0*a - 70 = 0. Calculate the greatest common factor of m and 99.
9
Let n be (2/3 - (-1536)/(-9))/(-2). What is the highest common divisor of n and 255?
85
Suppose -50301 = -91*a + 10*a. Calculate the highest common factor of a and 23.
23
Suppose -k + 35 = -3*q, -3*k - 6*q = -2*q - 131. Calculate the greatest common divisor of k and 328.
41
Let k = -66 + 63. Let w(r) = 14*r**2 - 7*r - 11. Let a be w(k). What is the highest common factor of a and 17?
17
Suppose 75*n = 177*n - 1020. Suppose 4*h = h + 12. Let w be h/2 + (-26)/(-2). Calculate the greatest common factor of n and w.
5
Let c(i) = 6*i**2 + 4*i + 2. Let s be c(-3). Suppose 3*f - 76 = -28. Let l be f/6*(-4)/((-24)/9). Calculate the highest common factor of s and l.
4
Suppose 3*u = 5*u + 34. Suppose 0 = -9*k + 4*k + 165. Let r = u + k. What is the greatest common divisor of 144 and r?
16
Suppose 32*m = 26*m + 792. Suppose 0 = 3*g + d - 11 - 28, 5*d = -g + 27. What is the highest common factor of m and g?
12
Suppose 51 = 5*j - 369. Let n = -72 + j. Suppose -19 = 2*o - 283. Calculate the greatest common factor of n and o.
12
Let j(c) = -c - 17. Let y be j(-34). What is the highest common divisor of y and 1139?
17
Let q = 276 + -263. Calculate the greatest common factor of q and 247.
13
Let d be 38*-2*1/2. Let x = -25 - d. Suppose -3*v + 0*v = -3*h + 129, 59 = h - 5*v. What is the highest common factor of h and x?
13
Let g = -3 + 1. Suppose 0 = -4*i + 3*j - 175, 0 = -5*i + 2*j - 3*j - 195. Let x be (i/12)/(g/9). Calculate the greatest common factor of 10 and x.
5
Suppose 2*x + 4*x = 0. Suppose 76 = k - 2*p, x = k + 5*p - p - 46. Let t = -12 + 18. What is the highest common factor of t and k?
6
Let r(v) = 2*v**3 - 5*v**2 - 2*v. Let s be r(4). Calculate the greatest common factor of s and 1280.
40
Let f(o) = -o**2 + 36*o - 60. Let d be f(34). Suppose -3*r + 5*p = -4*r + 25, 5*p = -15. What is the greatest common divisor of r and d?
8
Let z be (-7*(-20)/(-70))/(6/(-129)). Calculate the greatest common divisor of z and 688.
43
Let q = -125 + 209. Let l be 8 + 42/10 + (-5)/25. What is the highest common divisor of q and l?
12
Suppose 2*c = -102 + 590. What is the highest common factor of 793 and c?
61
Let o = 875 - 872. Calculate the highest common divisor of o and 228.
3
Let s(n) = -n**3 - 16*n**2 - 29*n + 10. Let r be s(-14). Calculate the highest common factor of r and 33.
3
Let k(z) = z**2 - 12*z + 116. Let m be k(13). Calculate the greatest common divisor of 43 and m.
43
Let l be 2/(((-1)/5)/((-6)/(-15))). Let t be 876/54 + -5 + l/18. What is the greatest common factor of t and 22?
11
Suppose -5*d + 130 = i, -36*i = -37*i - 3*d + 124. What is the greatest common divisor of i and 5?
5
Let t be (-1)/(1/(-3))*(4 - 3). Let g(d) = 21*d + 5. Let q(p) = -p + 1. Let z(x) = g(x) - 6*q(x). Let f be z(t). What is the highest common divisor of f and 20?
20
Suppose 3*f = 5*m - 11, 0*m + 25 = 3*f + 4*m. Let d(w) = -5*w**2 + 2*w - 3 + w**3 - w**2 - 6. Let t be d(6). What is the highest common divisor of f and t?
3
Let m(w) = 4*w - 6. Let y be m(5). Let c(n) = 14*n**2 + 99*n + 14. Let i be c(-7). What is the highest common divisor of y and i?
7
Let z = -16 - -20. Let b(v) = v. Let c be b(-4). Let g be 2/((-2)/c*2). Calculate the greatest common divisor of z and g.
2
Let i(y) = -y. Let u(n) = -n**2 + 4*n + 5. Let x(w) = 3*i(w) + u(w). Let g be x(0). Suppose g*c - 8*c = -561. Calculate the highest common divisor of c and 17.
17
Let p = -433 - -640. Calculate the highest common factor of 9 and p.
9
Let t = 486 + -333. What is the highest common divisor of t and 51?
51
Let u(g) = g**2 - 11*g - 96. Let n be u(-12). What is the greatest common divisor of 240 and n?
60
Let t(x) = x**2 + 14*x + 13. Let l be t(-24). What is the greatest common divisor of l and 23?
23
Suppose 16*a + 10 = 18*a. Let z be (36/(-30) - (-1)/a) + 5. Calculate the greatest common divisor of z and 56.
4
Suppose 24*q + 46 = 190. What is the greatest common factor of 6 and q?
6
Suppose f - 112 = -2*j, 107 = 3*f - 5*j - 218. Let h = 56 - 51. Suppose -43 = -5*q - 2*a - 1, h*q - 62 = 3*a. What is the highest common factor of q and f?
10
Suppose 3*w - 40 = w. Suppose 11 = -4*y - 13. Let b = y + 16. Calculate the greatest common divisor of w and b.
10
Let l(h) = 2*h**2 - 4*h + 1. Let y be l(3). Let u be (66/y)/(20/140). Calculate the highest common factor of u and 6.
6
Suppose 7*y = -30*y + 12173. Calculate the greatest common divisor of y and 7.
7
Let q be (5 - -4) + -15 + 9. Calculate the highest common factor of 159 and q.
3
Let a = 156 - 32. Suppose 5*x + 4*f = 80 + 83, -2*x - 3*f = -68. Calculate the greatest common factor of x and a.
31
Suppose 360*i + 3240 = 364*i. What is the greatest common divisor of 210 and i?
30
Let d(l) = 2*l**2 - 12*l + 4. Let v be d(6). Suppose -v*j + 5 = -179. Suppose 3*w = o + j, 2*w - 4*o = -6 + 50. Calculate the highest common divisor of 7 and w.
7
Let j(z) = -2*z**3 - 5*z**2 + 7*z + 6. Let t be j(-6). Let b = 353 - 335. What is the highest common factor of t and b?
18
Let g = 1147 - 571. Calculate the highest common factor of 36 and g.
36
Suppose -o + 41 = -0*o. Let v = 117 - 76. What is the highest common divisor of v and o?
41
Let i = 271 - 158. Suppose i - 29 = 3*b. Suppose 5 = 2*p - 3. What is the highest common divisor of b and p?
4
Let f be (23/23)/((-2)/(-14)). Suppose -14 + f = -r. What is the highest common divisor of r and 21?
7
Suppose g - 2*m = 4*g + 95, 0 = -5*g + 3*m - 152. Let u = -22 - g. What is the greatest common divisor of 27 and u?
9
Suppose 3*k - 3*l = -0*k + 1539, l = 5*k - 2585. What is the highest common divisor of 370 and k?
74
Suppose -607 = -7*t + 989. Suppose 0 = -7*p + p + t. What is the highest common factor of 304 and p?
38
Suppose 8*y - 112 = -0*y. What is the highest common factor of y and 112?
14
Let u(f) = f**3 + 23*f**2 - 25*f + 8. Let t be u(-24). What is the greatest common divisor of 1 and t?
1
Let s = -1144 - -1903. Calculate the greatest common divisor of 11 and s.
11
Let v = -89 - -56. Let k = 12 + v. Let l be ((-50)/(-8))/(k/(-420)). Calculate the greatest common factor of l and 50.
25
Suppose -11 = h - 28. Let s(p) = -p**3 - 5*p**2 + 7*p - 15. Let d be s(-7). Calculate the greatest common factor of h and d.
17
Suppose 0 = 5*q - 23 - 27. Suppose 6*u + 104 = q*u. Suppose 2*x = x + u. What is the greatest common factor of x and 39?
13
Let g(k) = 7*k - k**2 + 5*k**2 + 12 - k**2. Let b be g(-5). Calculate the greatest common factor of b and 13.
13
Let f be -4*(199/(-2) + -1). Let m be (-278)/(-4) + (-15)/(-6). Suppose -2*b - m + f = 0. Calculate the highest common factor of 66 and b.
33
Let a = -171 - -179. Let j = -107 + 195. What is the highest common factor of j and a?
8
Suppose -257 = -3*k + 487. Suppose -s = -2, -4*l + 4*s = -0*s - k. Calculate the greatest common factor of l and 16.
16
Let o(k) = -3*k**2 - 3*k**2 + 2*k**2 + 5*k**2 - 3. Let q be o(3). Calculate the greatest common divisor of q and 18.
6
Let p be (-2 - 9)/(6/(-48)*4). Calculate the greatest common factor of 11 and p.
11
Let r(x) = 12*x + 6. Let p be r(3). Let y(u) = 64*u**2 - u. Let l be y(1). Calculate the greatest common factor of p and l.
21
Let b(d) = d. Let m be b(3). Suppose 2*s - m*z = 117, -s - 32 = 4*z - 107. Suppose 452 = -2*n + 466. What is the greatest common factor of s and n?
7
Suppose 2*c - 136 = 5*i, 0 = -2*c + 7*c - i - 294. Calculate the highest common factor of 464 and c.
58
Suppose -2*m = -12*m + 2290. Suppose -3*w = 3*k + k - 131, 4*k - m = -5*w. Calculate the highest co | {
"pile_set_name": "DM Mathematics"
} |
cond derivative of -b**3/6 - b**2 - 27*b. Let o be i(-2). Solve -k + o = -1 for k.
1
Let m be -1 - (4/1 - 7). Suppose -2*n - 2*n + 4 = 0. Suppose m*v + y = 4 + 5, -n = v - 5*y. Solve -u - 12 = -v*u for u.
4
Suppose 3*k - 4 = 2*k. Suppose 0 = -z + 3, k*w - z = 2*z + 15. Solve -4*i = -w*i + 4 for i.
2
Let q(s) = s**2 + 9*s + 2. Let z be q(-9). Let v be 8/z + -11 + 9. Solve -p = v*p - 9 for p.
3
Suppose 5*c - 2*r - 2 = 0, -11 = -2*r - 3. Let v(w) = w**3 + 6*w**2 + 5*w - 2. Let z be v(-4). Let m = -5 + z. Solve k + m = c*k for k.
5
Let i(v) = v**2 + 7*v + 13. Let t be i(-4). Let w(x) = 5*x**2 - x - 1. Let l be w(t). Solve 5*a - l*a = -8 for a.
-4
Suppose 9*u - 8*u = 0. Suppose i + 2 = 3*x, -4*x - 2*i + 6 + u = 0. Let s(b) = b**2 + b - 1. Let k be s(x). Solve -2*z = -k - 3 for z.
2
Let l(g) = g**3 - 8*g**2 - 10*g + 9. Let a be l(9). Suppose 1 = -v - 5*f, 2*v - 5*v + 13 = -f. Solve a*m = m + v for m.
-4
Let d be (-90)/(-25) + 6/(-10). Suppose 0 = -d*t - 3 + 6. Suppose 2*a - 1 = t. Solve -7 - a = 4*i for i.
-2
Let v = 13 - 5. Let w(y) = -y**3 - 10 + 0*y**3 + 10*y**2 - v*y - 4 + 5. Let m be w(9). Solve k - 4 = -m for k.
4
Let m = -1 - -5. Suppose 0 = -y + m*j - 9, -3*j + 7 = -2. Solve -z + y = -4*z for z.
-1
Let z(d) = -4*d - 13. Let k be z(-4). Suppose 6 = -23*g + 26*g. Solve -k*a - g = -a for a.
-1
Suppose 4*b - 10 = -3*w, 4*w + b + 3*b = 8. Let a be -1 + (-52)/(2*w). Let y = 14 - a. Solve 4 = -r + y*r for r.
4
Suppose 3*y = 68 - 56. Solve -y*k - 5 = -5*k for k.
5
Let d(v) = -15*v**3 - v**2 - 5*v**2 - 7*v + 16*v**3 + 3. Let a be d(7). Let b = a - 1. Solve -b*i = i for i.
0
Let c(k) = -k**3 + 5*k**2 - 2*k - 5. Let t be c(4). Let b(d) = 31 - 2*d - 9 + d + 0*d. Let s be b(15). Solve t = 5*u - s for u.
2
Suppose -5 = -41*y + 39*y + u, y = 5*u - 11. Solve 3 - 23 = -y*o for o.
5
Let y(d) be the third derivative of 5*d**4/24 + 9*d**3/2 + 18*d**2. Let k be y(-5). Solve -k*l = -4*l + 8 for l.
4
Let g be ((-16)/10)/(-4 + (-90)/(-25)). Suppose -3*h + g = 5*n - 0*n, 0 = -5*h - 10. Solve 3*d - 1 = n*d for d.
1
Let i be (10/12)/(-10 - 305/(-30)). Solve 0*x = x + i for x.
-5
Let s(f) = f - 9. Suppose -5*h = 5*x - 75, -3*h = -5*x + 10 - 39. Let w be s(h). Solve 5*g = w*g - 4 for g.
-4
Let i(d) = -d**3 + 4*d**2 + 7*d - 2. Let z be i(5). Suppose -o - 7 = -3*o - n, -o + 4*n = -17. Suppose 0 = o*h - 9 - 21. Solve -4*g - z = -h*g for g.
4
Suppose -5*a + 13*p = 16*p - 290, -5*p = 0. Solve 2 = -12*n - a for n.
-5
Let l be 3/(15/290*2/1). Solve -l = -6*w + 1 for w.
5
Let c = -11 + 7. Let y be c - (-1 - 1)/(-2). Let d = y - -11. Solve -d*f = -2*f for f.
0
Suppose 0 = -2*n + n - 15. Let f be 98/10 - ((-9)/n)/(-3). Solve 8*h = 3*h + f for h.
2
Suppose 5*o - 12*o = -21. Suppose 0*c - o*c + 9 = 3*g, 0 = 2*g - 4*c + 12. Solve 0*m + 5*m - 20 = g for m.
4
Let g = -36 - -40. Solve g*i - 10 = -i for i.
2
Suppose 1282 = 7*v + 1282. Solve -4*k - 25 + 21 = v for k.
-1
Let b(y) = -2*y - 10. Let z be b(-13). Let r = z - 10. Solve r = -3*q - 0 for q.
-2
Let m(w) = w**2 - 11*w + 24. Let t(z) = -z + 2. Let r be t(-6). Let q be m(r). Solve -5*o + 25 + q = 0 for o.
5
Let w = -76 + 91. Solve 0 = 5*o - 8*o + w for o.
5
Suppose 0 = -12*f + 27*f - 30. Solve -6 - 2 = -f*q for q.
4
Let r = -62 - -39. Let d = r + 29. Solve -2*w + d*w = -8 for w.
-2
Suppose -3*f = -2*c + 4*c - 8, -4*f + 12 = 3*c. Solve f = -3*r - 12 + 18 for r.
2
Let d = 188 - 184. Let b be ((-12)/6)/(1 - 6/4). Solve -d*w + b = 24 for w.
-5
Suppose 0 = -3*d - 3*x - 14 - 37, 3*d - 4*x + 58 = 0. Let c be (d/(-10))/(30/50). Solve 4*k = 5*k - c for k.
3
Suppose 0 = -l - l. Let m = 5 + l. Solve -4*h = -m - 3 for h.
2
Let k be (-3 + 2)/((-3)/18). Suppose k + 2 = 2*x. Let q(m) = -m**2 + 3*m + 8. Let l be q(x). Solve 0 = -l*z - 7 + 19 for z.
3
Suppose 4*r + 44 - 52 = 0. Solve -r*c + 2 = 4 for c.
-1
Let k(u) = -u**3 - 10*u**2 + 4. Let l be k(-10). Solve -3*a + 1 - l = 0 for a.
-1
Let v(y) = y**2 - 54*y + 81. Let o be v(53). Solve -14*z + o = -0*z for z.
2
Let s = -27 - -27. Let r be (-23 + 22)*(-2 - (s + 0)). Solve 4 = -2*w - r for w.
-3
Suppose 9*z - 56 = 79. Suppose b = -5*s - 0 + 10, 5*s = -2*b + z. Solve r + b = 3 for r.
-2
Let d(z) = -2*z + 16. Let p = 3 - -4. Let c be d(p). Solve 4 = c*w - 4 for w.
4
Let h = 118 + -75. Let q = h - 40. Solve z = -2*z + q for z.
1
Let t = -641 - -647. Solve -5*b = -t*b for b.
0
Let i be 1 - (-6 + 3 + 1). Suppose i*s - 3*j = -1 - 5, -s = j - 6. Suppose -s*c + 18 = 4*c. Solve c = 4*q - q for q.
1
Let q be (-80)/((-3 - -4) + 0). Let y = q + 82. Solve -12 = -y*u - u for u.
4
Let m be (34/(-6) - 1)*(-18)/15. Solve 3*p + m + 7 = 0 for p.
-5
Suppose 10*a = 8*a + v + 31, -5*a - 3*v + 72 = 0. Solve -59*s + 54*s - a = 0 for s.
-3
Suppose 10*u + 126 = 226. Solve 2*d = 18 - u for d.
4
Let b(s) = -s**2 - 7*s - 9. Let v be b(-4). Suppose -3*x + v*g - g = -8, 0 = -4*x + g + 4. Solve 3*z = -x + 9 for z.
3
Let u be 894/42 + 6/(-21). Solve -8*r + r = -u for r.
3
Suppose -11*o + 165 = 55. Suppose 16*t - 21*t + o = 0. Solve 0*m + 10 = t*m for m.
5
Let c be (25 + (0 - -1))*(-4)/(-8). Let w(j) = -j**3 + 12*j**2 + 12*j + 29. Let i be w(c). Solve 4 = -4*q + i for q.
3
Let t = 4 - -2. Let y(k) = 7*k + 1. Let u be y(1). Suppose -p + u = p. Solve 6 = p*a - t for a.
3
Let k(p) = p**2 + 8*p + 7. Let z be k(-7). Let d be z/((3/1)/3). Suppose -r = -d*r. Solve s = -r*s - 3 for s.
-3
Let r = 21 + -16. Suppose -l - 43 = -0*t - 5*t, 2*t = r*l + 31. Suppose -t = -v - 3*v. Solve -v*x = 4 + 4 for x.
-4
Let n(r) = r**2 + 20*r + 21. Let a be n(-19). Suppose -a*o + 4*o + 4 = -4*t, -3*o = -3*t - 30. Solve -4*i = -o*i for i.
0
Let u(p) = -5*p + 1 - 7*p + 4 + 8*p**2 - 7*p**2. Let t be u(12). Solve -2*y + 1 = -t for y.
3
Suppose 3*y = -3*k + 75, 0 = 7*k - 5*k - 2*y - 30. Solve 4*f + 64 = k*f for f.
4
Suppose -22*f = 5*f - 513. Solve 0 = f*b - 20*b + 3 for b.
3
Let b be -1*3 - 24/((-4)/1). Suppose -3*l - b = h - 11, 5*l - 12 = -h. Solve u = -h*u - 9 for u.
-3
Let z(v) = v**2 - 7*v - 8. Suppose c = -4*c + 40. Let h be z(c). Solve h*q = -4*q - 4 for q.
-1
Let u = -6 + 12. Let z = -64 + 60. Let l be z - 19*(-2 + 1). Solve t = u*t - l for t.
3
Suppose 5*v - 12 = 2*v. Suppose -2*c + 3*t = -4, -v*c - t = 1 - 9. Let g be (-1)/(-2) + c/(-4). Solve 3*z + z = g for z.
0
Suppose 4*i + 2*m = 80, -5*m - 21 - 109 = -5*i. Solve -i*h + 12 = -16*h for h.
2
Let z = 40 + 17. Let u = 63 - z. Solve 4*j = u*j - 10 for j.
5
Let q be 2*(0 + 6) - 5. Solve q*t + 10 = 5*t for t.
-5
Let f(x) = 3*x**2 - 33*x - 225. Let j be f(-5). Solve 4*u = j*u - 22 for u.
2
Let m(b) = -b**3 - 5*b**2 - b - 2. Let f be 30/(-3)*2/(-5). Suppose -5*t - 19 = 3*r - t, -25 = f*r + 5*t. Let u be m(r). Solve -2*y - 1 = -u for y.
1
Let k(j) = 20*j + 43. Let s be k(-2). Solve 4 - s = -c for c.
-1
Suppose 5*w + 9 = 39. Solve 0 = 11*m - 5*m + w for m.
-1
Let n = 30 - 45. Let c be (1/3)/(-1)*-57. Let t = c + n. Solve -b - t*b = -10 for b.
2
Suppose 422 + 403 = 33*c. Solve c*d = 29*d + 4 for d.
-1
Suppose 0 = 239*p - 246*p + 35. Solve -p*h - 4 = 6 for h.
-2
Let z be 468/90 - 2/10. Solve 0 = 18*i - 13*i - z for i.
1
Suppose -m + 12 - 3 = 0. Let v(s) = -2*s + 1. Let b be v(-1). Suppose -2*l = -7*l + 20. Solve -l*u - b = m for u.
-3
Let j = 1422 + -1407. Solve 22*k - 25*k = j for k.
-5
Suppose -3*r - 5*l = -20, l + 22 = 2*r - 0. Solve 7*v - r*v = 0 for v.
0
Let b be (-9)/12 + 1204/112. Solve 0 = 9*v - 14*v + b for v.
2
Let r(h) = h**3 - 48*h**2 - 3*h + 157. Let o be r(48). Solve 12*i - 35 - o = 0 for i.
4
Let w = -51 + 51. Suppose 4*y - 1 = 5*t + 20, w = -2*y - 2*t + 6. Solve 10 = -y*a - a for a.
-2
Let m(a) = -29*a - 3. Let s be m(-3). Let y be ((-1)/(-2))/(1/s). Let b be ((-4)/6)/((-14)/y). Solve -b*c + 2 = -3*c for c.
-2
Let a be 4/(-12)*-9 + 14/2. Let g be 26/a + 16/40. Solve w - g + 5 = 0 for w.
-2
Suppose -6*g - 84 = 78. Let t = g - -30. Solve t = 4*l - 5 for l.
2
Let k be (0 - (-2 + 3))*-16. Suppose -k = -w - w. Suppose 0 = -4*r + w*r + 5*l + 16, -5*r + 9 = -l. Solve -b + r + 2 = 0 for b.
3
Let h(x) = -x**2 - 2*x - 12. Let g be h(0). Let k be (-4)/g + 84/18. Solve 0 = -k*q - 1 - 4 for q.
-1
Suppose 7 = -9*t + 12*t - i, -3*i = 3. Solve 3 = -t*z - z for z.
-1
Let h be (2/(-6))/((-3)/36). Let t(w) = w**2 - 2*w - 6. Let r be t(h). Solve r*n + 0 - 2 = 0 for n.
1
Let l = -1 - 22. Let d = l + 25. Solve -3* | {
"pile_set_name": "DM Mathematics"
} |
5/(-15))/(-7). Let u(f) be the second derivative of f**4/6 + f**3/6 - f**2/2 + f. Calculate u(n).
14
Let t(i) = i**2 - 7*i + 7. Let j be t(5). Let w be (8/6)/(1/j). Let h(x) = -x + 2. Let u be h(w). Let v(p) = -p**3 + 6*p**2 - 5. What is v(u)?
-5
Let v(b) = -b**2 + 7*b - 3. Suppose -4*u = 5*w - 31, -2 - 12 = -2*u - 2*w. Suppose 0 = 3*i + 3*k - 24, -u*k + 28 - 10 = 2*i. Calculate v(i).
-3
Let l(r) be the first derivative of -27 + 4*r - 1/2*r**2. Let g = 2 - -2. Determine l(g).
0
Let s(t) be the second derivative of -t**3/2 + t**2/2 + t + 4. Let o be ((-1)/3)/(2/(-6)). Calculate s(o).
-2
Let y(i) = -i**3 + 15*i**2 - 11*i - 29. Let n = 583 - 569. Give y(n).
13
Let u(i) be the second derivative of i**3/6 - 9*i**2 + 109*i. Determine u(14).
-4
Suppose 26 = -3*h + 4*h. Let i = h - 26. Let f(j) be the first derivative of j**2/2 + 4*j + 1. Give f(i).
4
Let c(o) = 4*o**3 - 37*o**2 - 23*o + 36. Let d(a) be the first derivative of a**4/4 - 3*a**3 - 3*a**2 + 9*a - 15. Let h(q) = -2*c(q) + 9*d(q). Give h(8).
9
Suppose 5*q + 5 = -0. Let w = 1 - q. Let t(l) = -l + 0*l**2 + 1 + 2*l**2 - 7*l**w - l**2. Determine t(1).
-6
Let b = 113 + -121. Let j(d) be the second derivative of d**3/6 + 2*d**2 + d. Determine j(b).
-4
Let f(p) = p**3 + p**2 + p - 5*p**2 + 83 - 88. Suppose 3*w = c, 5*c - w + 0*w = 0. Suppose -3*l - 4 = 2*n - c*l, -12 = 3*l. What is f(n)?
-1
Let h(v) be the first derivative of v**4/4 + 11*v**3/3 + 11*v**2/2 - 3*v + 57. Give h(-10).
-13
Let n = -810 + 807. Let r(a) = -4*a**2 + 3*a + 1. Let g(x) = -9*x**2 + 7*x + 1. Let y(c) = 3*g(c) - 7*r(c). Give y(n).
5
Let l(r) = r - 6. Let h(m) = 20*m**3 + 68*m**2 + 17*m + 15. Let d(c) = -7*c**3 - 23*c**2 - 6*c - 5. Let j(t) = 17*d(t) + 6*h(t). Let y be j(-17). Give l(y).
-1
Let b(r) = 2*r**3 + 3*r**2 - 25*r - 2. Let m(f) = -f**3 - 2*f**2 + 11*f + 1. Let j(s) = -4*b(s) - 9*m(s). Determine j(-6).
-7
Let c(q) be the third derivative of -5*q**4/8 + q**3/6 + 332*q**2. Calculate c(-2).
31
Let m(i) = 8*i**2 + 14*i - 2. Let w(f) = -9*f**2 - 15*f + 3. Let g(j) = 6*m(j) + 5*w(j). Calculate g(-4).
15
Let b(s) = 8*s - 31. Let w(x) = -4*x + 15. Let o(k) = -4*b(k) - 9*w(k). Determine o(4).
5
Let t = -4 + 5. Let y(d) be the third derivative of -7*d**6/60 - d**5/60 + d**4/24 - d**3/6 + 301*d**2. Calculate y(t).
-15
Let u(i) = -2*i**3 - 9256 + 18514 - 5*i**2 - 9260 - 2*i. Give u(-2).
-2
Let u(r) = 7812 - r - 3*r - 7828. What is u(-5)?
4
Let d(s) = s - 9. Suppose 9 = -4*q + 2*t - 9, 5*q - 5*t = -15. Calculate d(q).
-15
Let y be (-216)/(-16) - 3/(-6). Let g be (0 - 3)*4/(-6). Suppose 0*o + g*o = -y. Let q(b) = b**3 + 6*b**2 - 6*b + 6. What is q(o)?
-1
Let j(w) = 2*w**2 - 1. Let o(n) = -n**2 - 5*n - 4. Let k be o(-4). Suppose 4*c = 2 + 2, -2*b - 4*c + 2 = k. What is j(b)?
1
Let i(t) = t**3 + 3*t**2 - t - 1. Let f be i(-3). Suppose -f = -12*c + 11*c. Let y(n) = -n**2 - 2*n + 4*n - c + 2*n + n**3 - n**2. Give y(2).
6
Let s(h) = 0*h**2 - 43*h + 12*h + 13*h + h**2 + 13*h. Determine s(7).
14
Suppose 4*g + 12 = 2*s + 2*s, 5 = -s - 3*g. Let n(j) = -s + 2*j**2 - 10*j**3 + 6*j**3 + 5*j**3. What is n(-3)?
-10
Let x = -112 + 124. Let n(h) = -h**2 + 11*h - 3. Give n(x).
-15
Let f(g) be the first derivative of -g**3/6 + 3*g**2/2 + g - 4. Let b(y) be the first derivative of f(y). Let u = 13 - 19. What is b(u)?
9
Let p(a) = 5*a**2 - 23*a - 18*a**3 - 10*a**3 + 27*a**3 + 8 + 15*a. Calculate p(5).
-32
Let y = -13 + 12. Let j be y + 5/10*-10. Let g(t) = t**3 + 7*t**2 + 5*t + 4. What is g(j)?
10
Let i(p) = 3*p + 1. Let g be ((-1)/1)/((-11)/165). Let l = -14 + g. Determine i(l).
4
Let h be -14*((-2)/(-4) + -3). Let j(n) = -h + 35 - n**2 + n**3 - n. Calculate j(1).
-1
Let y(d) be the first derivative of d**6/360 - d**5/20 - d**4/8 + 22*d**3/3 - 1. Let w(c) be the third derivative of y(c). What is w(5)?
-8
Let z(h) be the second derivative of h**4/12 - h**3/6 + 7*h**2/2 + 12*h. Give z(0).
7
Suppose 5*c = d + 10 + 17, 4*d = -4*c + 36. Let p(s) = 293 + 85*s - 292 - 86*s. What is p(c)?
-5
Let i(t) = 0*t + 5*t - t - 9*t - 5*t. Calculate i(4).
-40
Let y(f) be the first derivative of -f**4/24 - 8*f**3/3 + 5*f**2/2 + 12. Let d(g) be the second derivative of y(g). What is d(0)?
-16
Let r = 22 + -16. Let c(w) = -7*w + 24. Let h(f) = -3*f + 11. Let v(z) = -2*c(z) + 5*h(z). Give v(r).
1
Let n(x) = -x**3 - 6*x**2 - 2*x + 5. Suppose -2*f = -4*a - 28, -3*a + f - 19 = -0*f. Determine n(a).
-10
Let j(m) = m**2 - 6*m - 6. Let v(b) = 7*b**3 - b**2 + 2*b - 3. Let d be v(-2). Let h = d + 72. What is j(h)?
-11
Let b(j) = -j**2 - 10. Let x(d) = -d**3 + 3*d**2 - d - 2. Let q be x(2). What is b(q)?
-10
Let p(y) = -1323*y**2 + 1324*y**2 + 12*y**3 + 9 - 10. Give p(1).
12
Let w(p) = -p**2 + 13*p - p**3 + 2 - 3*p**3 - 28*p - 18*p**2. Let b(y) = -3*y**3 - 13*y**2 - 10*y + 1. Let f(j) = -7*b(j) + 5*w(j). Determine f(4).
-17
Let l = 15 - 5. Suppose -5*b + 4*f = f + 31, 0 = -5*b - 5*f - 15. Let s be (b/l)/(2/4). Let k(w) = w + 2. Calculate k(s).
1
Let n(j) = -2*j - 1. Let h be -4*4/((-4)/5). Suppose v = 5*f + 17, -5*v + v + 4*f = -h. Suppose 3*b = -g - 11, v*b + 3*b - 3*g + 23 = 0. What is n(b)?
7
Let p(j) = -3 + 115*j + 123*j - 359*j + 120*j. Let n(t) = -t + 5. Let r be n(4). Let w(k) = -1. Let y(i) = r*p(i) - w(i). What is y(0)?
-2
Let x(a) = -a**2 - 4*a + 4. Let c(v) = -3 + 570*v + v**2 - 566*v + 0. Let w be 5/((1/(-1))/(-1)). Let b(s) = w*x(s) + 6*c(s). Determine b(-2).
-2
Let n(u) = -7*u**2 + 8*u - 1. Let y(w) = 3 + 0*w + 0*w + 11*w**2 - 1 - 12*w. Let v(q) = 8*n(q) + 5*y(q). What is v(4)?
2
Let c(g) = g**3 + 12*g**2 - g - 10. Let q(t) = -t**3 + 2*t**2 + 2*t - 12. Let z be q(0). What is c(z)?
2
Let s be 8/(4 + 0) + (-12)/(-2). Let j(a) = a**3 - 9*a**2 + 6*a + 9. Give j(s).
-7
Let s(o) be the third derivative of -o**6/120 - o**5/10 - o**4/8 + 2*o**3/3 - 110*o**2. Give s(-5).
-6
Let d(n) = -11*n**3 + 11*n**2 - 7*n - 83. Let h(z) = -4*z**3 + 3*z**2 - 2*z - 28. Let p(u) = 3*d(u) - 8*h(u). What is p(8)?
-1
Let n be -1*-2*18/(-4). Let h(q) = -3*q + 4. Let o(a) = 6*a - 9. Let k(w) = n*h(w) - 4*o(w). Suppose 3*c - 6 = t, -4*c + 10*t = 5*t + 3. Give k(c).
9
Let j(m) be the third derivative of -m**6/360 + 7*m**5/120 - m**4/8 - 5*m**3/3 - m**2 - 23. Let i(z) be the first derivative of j(z). Determine i(6).
3
Suppose 6*g - 255 = -11*g. Let b(v) = -v**2 + 12*v + 47. Determine b(g).
2
Let w(v) be the first derivative of -v**4/4 + 2*v**3 - v**2 + 6*v - 155. Calculate w(6).
-6
Suppose -8 = -2*i + 10. Let z be 2/3*i/2. Let u(v) = -z*v**2 + 4*v**2 + 4 - 1 + 8*v + 1. Give u(-6).
-8
Suppose 255 - 30 = -25*f. Let d(w) = -w**2 - 13*w - 12. Calculate d(f).
24
Let y(u) = 18*u**3 - 4*u**2 - 6*u - 20. Let g(c) = c**3 + c**2 + c + 4. Let x(v) = 5*g(v) + y(v). Give x(1).
23
Let f(z) = z**2 + 8*z + 3. Let g be 2/((-46)/(-8) - 6). Calculate f(g).
3
Suppose 5*y = 3*n + 34, 0*y - y = -2*n - 11. Let o = n + 12. Let i(m) = m**2 - 8*m - 11. Let s be i(o). Let d(f) = -4*f - 1. What is d(s)?
7
Let c(w) = 3*w**2 + 3*w + 37. Let i(g) = 3*g**2 + 3*g + 31. Let v(q) = -5*c(q) + 6*i(q). Give v(-2).
7
Let r(f) = -2*f + 10*f - 231 + 234. Give r(-3).
-21
Suppose -4*q = 4*g + 12, q - 7 = -2*g + 3*g. Let z(k) = 5*k + 7*k**3 - 8*k**q - 4*k - 6*k**3 + 0*k**3 - 11. Give z(8).
-3
Let p(z) = -45*z**3 - 42*z**2 - 26*z + 59. Let g(d) = -16*d**3 - 14*d**2 - 9*d + 20. Let k(r) = 17*g(r) - 6*p(r). Give k(7).
7
Suppose 2*l = 16 + 12. Let v be (-4)/l + 6/21. Let i(x) = x**2 - 3. Give i(v).
-3
Suppose 9*z = -1 + 28. Let b(j) = 3*j**2 + 2*j + 3. Give b(z).
36
Let x(b) = -b**3 + b**2 + 3*b + 2. Let j be x(-2). Let v(k) = 9*k**2 - 18*k**3 - 11*k**3 - 6*k**3 + 34*k**3 - 7*k - 2. Calculate v(j).
6
Let y(m) = 42 - 19 - 21 + 2*m. Let p(k) = -k - 2. Let u be p(2). Calculate y(u).
-6
Suppose 18 = -2*d + c - 2*c, -2*d - 10 = 5*c. Let t = d + 8. Let x(i) = i**3 - 4*i**2 - 2*i + 2. Calculate x(t).
-18
Suppose -l = -4*l - y + 17, l - 3*y + 1 = 0. Suppose 0 = -l*k - 5 + 35. Let i(d) = d**2 - 5*d - 3. Give i(k).
3
Let f(a) = -1. Let u(x) = x + 1. Let n be u(0). Let s(g) = 2*g + 6. Let t(r) = n*s(r) + 10*f(r). Suppose 3*k + 10 = -h, -30 = -h - 79*k + 84*k. Calculate t(h).
6
Let c(o) = 10*o**2 - 62 - 9*o**2 + 0*o + 61 - 2*o + 5*o. Determine c(-3).
-1
Let r = -91 - -98. Let t(o) = -o + 9. What is t(r)?
2
Let n(x) = -3*x - 26 + x**2 + 30 - x. Give n(3).
| {
"pile_set_name": "DM Mathematics"
} |
g*f = -11*f + 8 for f.
4
Let x(k) = k**2 - 6*k - 24. Let v be x(10). Let m = 1 - -13. Let h = v - m. Solve 2*d + 0 + h = 0 for d.
-1
Suppose -3*g - 2*p + 43 = 0, 4*g = 2*g - 3*p + 37. Suppose 4*h = -3*m + g, -h + 3*m + 0*m - 1 = 0. Solve i + h = 4 for i.
2
Let c(i) = i**2 - 4*i + 2. Let f be c(4). Suppose f*y = 6*y - 4. Solve -4*g - 15 = y for g.
-4
Suppose -3*z + 0*b + 38 = 4*b, 20 = 3*z - 5*b. Let f = -102 - -97. Let t = z + f. Solve -t = -3*d + 10 for d.
5
Suppose 8 = 4*i - 0. Let a be (-6)/45 - 160/(-75). Suppose 5*c = a*b, 5*c + 0*b = -b. Solve c = -2*j - 2 - i for j.
-2
Let f(i) = -i**3 - 6*i**2 - 1. Let d be f(-6). Let l be 3/(d/(-3 + 2)). Let n = 523 - 519. Solve -h - l*h = -n for h.
1
Let r(y) = 15*y - 358. Let f be r(25). Suppose 5*b = 2*w + 17, 52 = 4*b + 3*w + 20. Solve b*a + 8 = -f for a.
-5
Let c(m) = 2*m**2 + 2*m + 1. Let r be c(1). Solve 0 = b + 4*b - r for b.
1
Suppose -10*q = -12*q - 60. Let i = -26 - q. Solve 2*u + i = -0*u for u.
-2
Let l be (0 - 3)*2/(-6). Let h = 21 - 16. Suppose -h*k - k = 0. Solve i - l = -k*i for i.
1
Let l(t) = -t**3 + 6*t**2 + 7*t + 2. Suppose 15*x = 18*x - 21. Let d be l(x). Solve 0 = d*w - 6 for w.
3
Suppose -4*t = 2*r - 14, 1 = -0*t + t + 3*r. Suppose 2*p - t*d = -0*d, 6 = -p + 4*d. Solve o - p = -2*o for o.
2
Suppose 4*d = -8, 0*d - d = -4*o + 18. Let v(b) = -b**3 - 8*b**2 - b + 2. Let x be v(-8). Solve o*p + x = -p for p.
-2
Suppose -3*z - 52 = 5*l, -3*z = l - 0*l + 32. Let j be (40/3)/2*z/(-6). Solve -j*o - 12 = -7*o for o.
-4
Let y = -1277 - -1291. Solve y*t = 2*t - 36 for t.
-3
Suppose 0 = -5*p + 630 + 130. Solve -3*u = -143 + p for u.
-3
Suppose 3 = 3*i, -38 = 5*y - 0*i - 3*i. Let n = y - -7. Solve 4*r - 5*r = n for r.
0
Let i be (-399)/(-84) + 3/(-4). Solve i*y - 21 = -17 for y.
1
Suppose 10 = -5*i + 7*i. Suppose 4*d - 128 = -4*d. Suppose 0 = -2*q + 8. Solve -q = -i*v + d for v.
4
Let x(h) = -2*h**2 + 5*h + 71. Let s be x(-4). Solve -4*d = s*d for d.
0
Suppose -6*r - 4 = -10*r. Let d be -3 - ((3 - r) + -5). Suppose d = -2*n - 0*n + 6. Solve n*j + 3 = -12 for j.
-5
Suppose 6*o = 10*o - 236. Suppose -55*q - 28 = -o*q. Solve -10 = 2*a - q*a for a.
2
Let z = 823 + -815. Solve -7*j + 11*j + z = 0 for j.
-2
Let f be ((-89)/(-2))/((-1)/(-2)). Let i = f + -86. Solve -2*g - i*g - 5 = 0 for g.
-1
Suppose -5*z = 0, -z - 7 = -4*h - 19. Let a be 1/1 + (0 - -2). Let u be (h - (-3)/a) + 6. Solve u*v = 8*v + 8 for v.
-2
Let f be (110/7 - 0) + (-2)/(-7). Suppose 0 = -3*k - k + 148. Suppose -4*q = q - 15, k = 5*u + 4*q. Solve -u*n = -n - f for n.
4
Let f(m) = m + 15. Let y be f(-7). Let i be -8*(-4)/y - -3. Suppose 4*x - 47 = -i. Solve -2*l + 7*l - x = 0 for l.
2
Suppose -6*z + 3*z = z. Solve -7*h + 23 - 2 = z for h.
3
Let u be (4/(-14))/((-4)/56). Suppose u = 3*q + g, -5*g = 2*q - 2*g + 2. Suppose -3*m + 2*m = -q. Solve m*v = -0 - 2 for v.
-1
Let o(b) = 5*b + 92. Let j be o(-18). Solve -3*a - j = 7 for a.
-3
Let b = 355 + -350. Solve -b*o = -14 - 6 for o.
4
Let m be (-113)/(-5) - (-9)/(-15). Let j = 25 - m. Solve 3*a + 0 = j for a.
1
Let z(w) = w + 2. Let b(t) = t**2 - 11*t - 5. Let y(f) = b(f) + 3*z(f). Let a be y(8). Solve a = 4*s + 9 for s.
-2
Let w be (-5)/2*(-96)/15. Suppose -u - w - 2 = 0. Let f be ((-11)/33)/(2/u). Solve 2*o + 3 + f = 0 for o.
-3
Let k(p) = -p**3 + 12*p**2 - 4*p + 16. Let b be k(12). Let d be b/(-6) - 8/(-12). Suppose -6*i = -0*i - d. Solve -4*f + 3 = -i for f.
1
Let l be -17 - (-826)/42 - 4/(-3). Solve 19*b = 15*b + l for b.
1
Suppose -4*c = -2*s, 0 = 7*c - 8*c - 5*s. Solve -8*l + 6*l = c for l.
0
Let t be (-30)/(-4)*8/12. Suppose t*o + 4 = 19. Solve y - o*y = 8 for y.
-4
Suppose 0 = 2*u - 32 - 182. Let j = 112 - u. Solve j*z = -1 - 19 for z.
-4
Let v(l) = -l**2 - 8*l - 9. Let w be v(-5). Let m be (3*1)/1*-1. Let j = m + w. Solve -3*z + j = -12 for z.
5
Suppose -30*u = -26*u + 84. Let w(j) = 3*j**2 + 62*j - 18. Let m be w(u). Solve m*z = -1 + 4 for z.
1
Let o = 842 + -837. Solve -o*j + 21*j + 16 = 0 for j.
-1
Let b = -417 - -426. Solve 8*z + 4 = b*z for z.
4
Let w(k) = -k**2 + 9*k + 4. Let o be w(9). Solve r + o = 3 for r.
-1
Suppose -21 = -4*y + 3*y. Let m = 12 - y. Let v(w) = w**2 + 9*w + 3. Let k be v(m). Solve -i + k*i = 4 for i.
2
Let z be 0 + ((-26)/91 - (-6)/21). Solve 56*l - 49*l + 21 = z for l.
-3
Let x(y) = y**2 - 20*y - 19. Let f be x(21). Solve -f*m = -3*m for m.
0
Let x(s) = -s**2 + 13*s + 3. Let c(b) = -2*b**2 + 27*b + 5. Let u(y) = -6*c(y) + 13*x(y). Let t = 370 + -362. Let f be u(t). Solve f - 5 = 2*h for h.
-2
Suppose 4*u + 6 = 58. Let n(q) = -q**2 + 14*q - 11. Let d be n(u). Let i = -5 + 5. Solve 2*m + 0 + d = i for m.
-1
Let t(m) = m**2 - 6*m + 10. Let j be t(2). Solve j*b = -3*b - 25 for b.
-5
Suppose -7*f = -6*f. Solve f = -10*v - 62 + 12 for v.
-5
Suppose 0*q - 9*q = 441. Let b = q + 49. Solve b*d + 2*d = 4 for d.
2
Let o(m) = 3*m**2 - 10*m - 19. Let k(l) = -4*l**2 + 10*l + 20. Let a(y) = -4*k(y) - 5*o(y). Let z be a(-9). Let b = 9 - 5. Solve -b*f + 6 + z = 0 for f.
3
Let d be 2/(9/(-3) - 82/(-26)). Solve -d*q - 8 = 44 for q.
-4
Suppose -4*k = -6 - 10. Suppose k*u = -2*x - 0*u - 12, 0 = 3*x + 3*u + 9. Solve -t + 6*t - 5 = x for t.
1
Let u be (-10)/(-50) + (-834)/(-30). Solve -8*q - u = 12 for q.
-5
Let q be ((-18)/(-27))/(1/6). Suppose q*w - 17 + 9 = 0. Solve 4*m = -w + 18 for m.
4
Let i be (-3)/(-7) - 852/(-21). Suppose -7*u - g = -3*u - i, 4*u + 3*g = 51. Let c be (-6)/u*(-1 - 2). Solve -c*a = 3*a - 15 for a.
3
Suppose 3*k + 6 = 0, 5*c + 13 = 6*c - 5*k. Solve -c*a - 5 = -8*a for a.
1
Suppose -15 = 6*v - 51. Let p be ((-2)/v)/(9/(-1*135)). Solve 4*o + p + 3 = 0 for o.
-2
Suppose 2*o + h - 65 = 0, 4*o - 165 = 18*h - 13*h. Solve -o + 7 = 7*a for a.
-4
Suppose 14*t = 264 - 824. Let h = -35 - t. Solve -h*f = -3*f + 8 for f.
-4
Let j = -13 + 17. Let v(n) = n**2 - 5*n + 6. Let c be v(j). Solve 0 = g + c - 3 for g.
1
Suppose 2*z - 9 = 5*z. Let q be (-3)/2 - z/(-6). Let w be (1/(-2))/(q/48). Solve -2*k - k = -w for k.
4
Let j be (-3)/(-7) - 51040/(-1120). Solve -29 = -15*x + j for x.
5
Suppose 3*d = -5*l - d + 754, 295 = 2*l - 5*d. Let t be (1 - -1)/(60/l). Solve q = t*q for q.
0
Suppose 5*y - 43 = 4*a, 22 = 2*y - a - 3*a. Suppose y*p = 4*p + 75. Suppose -4*j + 3*o + 1 = 0, -j - 4*j - o + p = 0. Solve 0 = j*u - 0 - 4 for u.
1
Suppose -2*f - 10 = 0, 4 = -q + 3*f - 0*f. Let r = 23 + q. Solve r*k + 7 = 27 for k.
5
Suppose 3*f + 52 = 5*k, -5 = 5*f - 10*f. Suppose -3*l - n + k = -17, 0 = -3*l - 3*n + 36. Solve -b = b + l for b.
-4
Let c(m) = 7*m + 6 - 9 - 10 - 2*m. Let d be c(5). Solve 5*l - 2*l = d for l.
4
Let q be (-6)/(-14)*21/1. Solve 0 = l + 4 - q for l.
5
Suppose 4*r + 7 = 11. Let h = -508 + 511. Solve y + h = -r for y.
-4
Let h = 8 - 13. Let c = 9 + h. Suppose -12 = -c*a - 0*a. Solve 0 = a*f + 5 - 2 for f.
-1
Let i = -4 + 7. Let x(w) = 3*w - 3. Suppose 3*t = 5*n - 16, 2*t + 2*n - 14 = 2. Let u be x(t). Solve -6 = -i*c + u for c.
4
Let w(h) = -h**2 - 17*h + 4. Let m be w(-17). Suppose 3*i + 9 = -5*k, -2*k + 5*i + 19 - m = 0. Solve k = 3*r - r - 2 for r.
1
Suppose -3 = 2*x + g - 4*g, -12 = -4*g. Solve x*j + 17 - 26 = 0 for j.
3
Let t(f) = f**2 - 2*f + 1. Let p be t(1). Suppose -r + 56 = 3*r + 2*b, -4*r - 3*b = -60. Suppose r = 3*u - p*u. Solve -m = u - 5 for m.
1
Let i = 5 - 3. Suppose -5*d - 2*n = -3*n - 183, n - 2 = 0. Let t = 43 - d. Solve -t = i*v - 0*v for v.
-3
Let q be (0 - -6) + -2*3/6. Let i(f) = -f + 3. Let o be i(-5). Suppose -2 = -q*m + o. Solve m*w + 2*w = -20 for w.
-5
Let v(t) = t**3 + 11*t**2 + 25*t + 12. Let m be v(-8). Solve -m*o - 121 = -101 for o.
-5
Let i(w) = w**2 - 5*w + 4. Suppose -6*a + 25 = -a. Suppose 0*m + 20 = a*m. Let g be i(m). Solve 3*d = -g*d for d.
0
Let n(m) = -22*m + 218. Let d be n(9). Solve -12*v + 8*v = -d for v.
5
Let x be -4 + 40/(-2) + 3. Let y = x - -28. Solve -y = -2*z + 1 for z.
4
Suppose 817*a - 815*a = 18. Solve 6*l + 15 = a*l for l.
5
Let u be ((-26)/4)/((-4)/40)*-1. Let z = u + 75. Let v be 2/8 - 2/8. Solve v = -3*t + 5*t - z for t.
5
Let h be ((-250)/(-15))/((-2)/(-3)). Suppose s - 2*s = h. Let v = -22 - s. Solve 0 = -7*b + 4*b + v for b.
1
Suppose -4*a + 16 = 4*q, -2*q - q - a = -12. Let z(n) = -3*n - 6. Let o be z(-4). Suppose -4*r = 5*f - 3 + o, -9 = -f + q*r. Solve 3 = -4*w - f for w.
-1
Let g = -41 + 41. Sup | {
"pile_set_name": "DM Mathematics"
} |
54769888
217 times -6431.68
-1395674.56
What is the product of 55.1 and 2868?
158026.8
Calculate -85007*130.
-11050910
Calculate -34*5436643.
-184845862
Work out -4 * -172251.
689004
0.3 times -1768955
-530686.5
What is the product of 37473 and 208?
7794384
What is the product of -0.141 and -813159?
114655.419
0.035 times 63387
2218.545
What is the product of -12.382 and -2388?
29568.216
What is the product of 1 and -0.7425171?
-0.7425171
What is the product of 0.12473 and 5544?
691.50312
13.798 times 5313
73308.774
46*229810
10571260
Product of -9 and 44.4781.
-400.3029
Product of -0.226 and 229575.
-51883.95
Multiply -186.4564 and 0.2.
-37.29128
Multiply 206 and 59.0584.
12166.0304
Product of -177.945 and 201.
-35766.945
493.85146 * -0.3
-148.155438
Multiply 96.8 and -4.4239.
-428.23352
-21740 times 0.323
-7022.02
Calculate 0.4*-16734858.
-6693943.2
6 times 495060
2970360
Work out 93.91404 * -0.4.
-37.565616
2900.95*5.5
15955.225
What is -1548 times -941?
1456668
0.012 times 0.2451094
0.0029413128
66.12819 * 3
198.38457
0.10704935*0.5
0.053524675
Product of 2.293 and -80353.
-184249.429
Multiply -0.3 and -1.446816.
0.4340448
Multiply -0.5 and -1450.51.
725.255
39096985*0.2
7819397
-16183755 * -46
744452730
Multiply -0.3 and -10793.7852.
3238.13556
What is 1476681 times 0.873?
1289142.513
115525584 * 0.2
23105116.8
Product of -1 and 2264311.
-2264311
Work out 0.0073 * -3078.
-22.4694
6087 * 3035
18474045
What is -127970627 times -0.5?
63985313.5
Calculate -56834*65.
-3694210
-104 times 1248286
-129821744
What is 154612434 times -0.4?
-61844973.6
Product of -2169 and 47889.
-103871241
What is the product of 5.1 and -872.571?
-4450.1121
Calculate 800.33*0.014.
11.20462
-0.1*-5699982
569998.2
Calculate 0.12211*1814.
221.50754
Calculate -6086196*0.
0
9342.48*0.5
4671.24
What is 113249 times -16?
-1811984
What is -0.5 times 19891.9835?
-9945.99175
853.0353*-10
-8530.353
What is the product of 5472620 and -42?
-229850040
1.5713*-2548
-4003.6724
Calculate -1.1429*8490.
-9703.221
-4794604 * -6
28767624
What is 35.8304516 times -5?
-179.152258
Calculate -14.532476*-4.
58.129904
5438556 * 0.3
1631566.8
What is the product of -272090 and -0.32?
87068.8
What is the product of -3643 and -606?
2207658
-0.40917*-4511
1845.76587
Multiply 1.3 and -29398781.
-38218415.3
-3 * 51620820
-154862460
Calculate -0.055803*-0.10601.
0.00591567603
-60616355*1
-60616355
0.4 * -62005184
-24802073.6
-7371 * -2135
15737085
What is 0.5961 times -224?
-133.5264
What is 0.74 times 17852?
13210.48
8258 * -690
-5698020
What is 870 times -0.30167?
-262.4529
Work out -0.5 * -14.5599029.
7.27995145
3 * 1261068
3783204
3 * -135355.09
-406065.27
-52.62 * 33363
-1755561.06
Multiply 17756 and -277.
-4918412
What is 22751146.2 times -3?
-68253438.6
What is -7393 times -4.3?
31789.9
-30.07 * -24.118
725.22826
237 times 0.02372
5.62164
Calculate -0.31*-2.18604.
0.6776724
-23.27806 times 51.7
-1203.475702
-9.9817143 * -4
39.9268572
Product of -1.04 and -362975.
377494
Work out -3 * 0.01334666.
-0.04003998
Multiply -0.535 and -9941.
5318.435
What is the product of -306.20976 and 0.2?
-61.241952
Product of 1921074 and -22.
-42263628
Product of -0.0156 and -13150.
205.14
-4531 times 1418
-6424958
-794217 * -1.24
984829.08
Product of 2 and 82233.
164466
-29.82 * -2154.2
64238.244
1 times 94362235
94362235
Calculate 0.0331529*-616.
-20.4221864
What is the product of -0.4 and -6499329?
2599731.6
404459 * -270
-109203930
-0.3 times 492.053
-147.6159
Calculate -508819652*0.
0
Calculate -26.13*21.941.
-573.31833
Calculate 7*178165276.
1247156932
What is 0.365684 times -0.13?
-0.04753892
-796 * -0.67112
534.21152
6388735*-8
-51109880
What is -311707802 times -0.07?
21819546.14
Work out 1828 * -4.401.
-8045.028
What is 92348 times -0.02?
-1846.96
What is -0.075 times -0.0811?
0.0060825
What is -975 times -12340?
12031500
Multiply -1398066 and 104.
-145398864
-41*-12.9475
530.8475
Calculate 0.4*7.7553362.
3.10213448
Multiply -0.16 and -959026.
153444.16
Product of -0.1 and 19.5116824.
-1.95116824
Product of 0.2 and 76824.228.
15364.8456
2360 times 44440
104878400
Work out -0.05 * -51045341.
2552267.05
What is the product of 3654077 and -0.4?
-1461630.8
Calculate -0.0326*-164914.
5376.1964
What is the product of -5907 and 30086?
-177718002
0.3 * 59953844
17986153.2
What is -23699.8 times 0.0994?
-2355.76012
24.29 * 1847
44863.63
3213220 * -15
-48198300
What is the product of -0.094 and 1039.39?
-97.70266
What is the product of -0.1698 and -89.6?
15.21408
0.073*1504060
109796.38
What is 0.543 times -17465?
-9483.495
Work out 13159 * 42.
552678
Work out 9 * 277681.
2499129
-6662.3 * 3.52
-23451.296
Work out 0.9 * 66036863.
59433176.7
Product of -21911 and -6.6135.
144908.3985
Multiply 0.5 and 172.3068.
86.1534
What is the product of -0.12022797 and -0.08?
0.0096182376
Multiply 0.17 and 48744.
8286.48
-2413411.4 * 0.5
-1206705.7
2.47 times -18.3955
-45.436885
What is the product of -19588 and -2074?
40625512
Calculate 11*3396620.
37362820
-0.3879898*0.05
-0.01939949
Work out 72 * 2.940174.
211.692528
88.817 times 0.01194
1.06047498
Product of -401 and 41776.
-16752176
What is 0.01781 times -0.128877?
-0.00229529937
-7494105.6 * -1
7494105.6
Product of -78 and -1009.0691.
78707.3898
What is the product of -54 and 2364.9?
-127704.6
2.417*252603
610541.451
Work out -175.5 * -14383.
2524216.5
Calculate -29.6*0.0504592.
-1.49359232
Multiply -4222232 and -0.2.
844446.4
Multiply -55522 and 85.
-4719370
1561 * 80296
125342056
Multiply -6 and -69586191.
417517146
0.46 * 624497.3
287268.758
What is 0.1583 times -19577?
-3099.0391
Calculate 5.2*8847.6.
46007.52
Multiply 4578729 and 13.
59523477
Work out -0.198845 * 1849.
-367.664405
-148 times -166791
24685068
-73.9237076 * -0.4
29.56948304
Work out 365.57 * 17697.
6469492.29
Multiply 9548.504 and 12.
114582.048
-11313.3883 times 0.05
-565.669415
-1.07 * 1.68436
-1.8022652
-5108 times -321.5
1642222
0.243 * -5.50833
-1.33852419
Product of 59951 and 2472.
148198872
-4.9 times -115486
565881.4
Calculate -36.936*37.46.
-1383.62256
136740608 * 0.5
68370304
Calculate 59.0928*-0.02.
-1.181856
Multiply 88.5696 and 0.08.
7.085568
Multiply 55278 and -0.23.
-12713.94
What is 24.129 times -6?
-144.774
17388276 * -0.3
-5216482.8
Work out -1236140 * 1.5.
-1854210
688873*4.8
3306590.4
Work out 9497594 * -0.3.
-2849278.2
Calculate -0.5*8035.992.
-4017.996
70000*85.42
5979400
-3090 times 47218
-145903620
What is 7 times 60.456317?
423.194219
-1114279 times -258
287483982
Multiply 0.204 and 24583.
5014.932
13.59685 times -2.4
-32.63244
-52.140959*-26
1355.664934
1102613632*-3
-3307840896
What is -238.623 times -12?
2863.476
Product of 19 and 485750.7.
9229263.3
Multiply -536476 and -0.07.
37553.32
What is 5 times 1932.8974?
9664.487
105 times -1464
-153720
Calculate 24.485*148.
3623.78
-2.4 * 410932
-986236.8
Multiply -0.5 and -16260939.
8130469.5
Calculate -1*11658804.
-11658804
Product of -739444 and 16.
-11831104
Multiply -9565 and -1.19.
11382.35
Work out 30717 * -86.
-2641662
-4 * 108571374
-434285496
Work out 29414 * -2265.
-66622710
0.0199*576186
11466.1014
-35 * -905374
31688090
Work out 1286038 * 15.3.
19676381.4
-0.4 times 90587331
-36234932.4
What is the product of -0.1185 and 1564?
-185.334
-4.23949*13
-55.11337
What is the product of -0.03912 and -1.83?
0.0715896
Calculate -488*-445.7.
217501.6
Calculate -0.177*167181.
-29591.037
What is 2 times 0.0530031?
0.1060062
Work out -2 * -133031867.
266063734
-6.55 * 0.129086
-0.8455133
Product of 0.00423 and -84112.
-355.79376
What is the product of 2.4916 and 0.4176?
1.04049216
Work out -29021 * 1.3.
-37727.3
Multiply 307531 and -37.
-11378647
Calculate -0.84*-430017.
361214.28
Product of 37.4 and -149.
-5572.6
Product of 0.4 and -78413445.
-31365378
1 times 1.16994372
1.16994372
Work out 277.74 * -34252.
-9513150.48
What is the product of 234 and 393?
91962
Multiply 0.10695547 and 32.
3.42257504
Calculate -1055.6412*0.
0
Multiply 3327 and 516.08.
1716998.16
Multiply -3786 and 414.
-1567404
Calculate -287389*-76.
21841564
What is the product of 279184 and 6?
1675104
-1407.47 times 2.51
-3532.7497
42694 * 1.6
68310.4
Work out -60 * -419588.
25175280
What is -92.16 times 4826?
-444764.16
Product of 122394608 and -5.
-61197 | {
"pile_set_name": "DM Mathematics"
} |
t is the remainder when 12 is divided by 4 - ((3 - (h + -2)) + -5)?
5
What is the remainder when (11 - (-11 - -27))*468/(-5) is divided by 10?
8
Let h(m) = 52*m**2 + 9*m - 2. What is the remainder when h(1) is divided by 23?
13
Suppose -116868 - 198884 = -58*s. What is the remainder when s is divided by 55?
54
Suppose -1442 = 15*t - 2417. What is the remainder when 440 is divided by t?
50
Suppose -5*o = -4*m - 20, -55 = 8*o - 13*o - 3*m. Calculate the remainder when 1261 is divided by o.
5
Suppose 109*l = 50*l + 9381. Calculate the remainder when 474 is divided by l.
156
Suppose -5*r + 1299 + 591 = -5*f, -1104 = -3*r - 3*f. Calculate the remainder when r is divided by 75.
73
Suppose -3*p + 6*p + 23104 - 59455 = 0. What is the remainder when p is divided by 12?
9
Suppose 3*x + 36 = -2*z + 193, -2*z - 5*x + 167 = 0. Suppose 0 = -2*d - 0*h - 2*h + 40, -2*h = -5*d + 65. What is the remainder when z is divided by d?
11
Let s(t) = -t**2 + 200*t - 425. What is the remainder when s(31) is divided by 25?
14
Suppose -l - 5*y + 47 = 0, -24*l + 4*y = -26*l + 100. Suppose -l = d - 70. What is the remainder when 141 is divided by d?
15
Let q be 4/(-3)*16*330/(-40). Let i = q - -65. What is the remainder when i is divided by 61?
58
Let d(p) = p**2 - 9*p + 15. Let l(q) = 6 - 2*q**2 + 4*q**2 + q - 11. Let u be l(3). What is the remainder when d(u) is divided by 43?
41
Let o = 33826 + -33795. What is the remainder when 367/3 + 1/(-3) is divided by o?
29
Suppose -17*b - 404 + 1951 = 0. Suppose -b = -6*u + 89. Let t(g) = 3*g**3 - 3*g**2 + g. What is the remainder when t(4) is divided by u?
28
Let k(v) = 117*v - 132. Let i(a) = a**3 - 9*a**2 + 10*a - 11. Let y be i(8). Calculate the remainder when k(y) is divided by 57.
54
What is the remainder when 563 is divided by 1*(-5 + 112 - -8)?
103
Let n(v) = -16*v + 11. Let y be (-2)/((2/7)/1). Calculate the remainder when n(y) is divided by 28.
11
Let p = 330 - 312. Suppose -z = -2*c - 3*z + 24, -4*z = -2*c + p. What is the remainder when 74 is divided by c?
8
Let g(r) be the second derivative of 31*r**3/6 + r**2/2 + 12*r. Suppose 3*p + 18 = 3*u, 0*p = -u - 5*p - 24. Calculate the remainder when g(u) is divided by 18.
14
Suppose 2*m = -2*p + 32, 30*p - 28*p - 37 = -3*m. Suppose 2 = 2*f - 2. What is the remainder when p is divided by f?
1
Suppose 49*y - 20019 = 16442 - 14852. Calculate the remainder when y is divided by 34.
33
Let r(x) = 382*x + 375*x - 140 - 727*x. Calculate the remainder when r(10) is divided by 7.
6
Let z = -10175 + 10356. What is the remainder when 1809 is divided by z?
180
Let m be (-3)/((-18)/(-4)) + (-5)/(-3). Calculate the remainder when 63 is divided by -2*(-14 - (m - 3)).
15
Suppose -4*w - x + 9 + 186 = 0, 2*x + 247 = 5*w. Suppose -196 = w*g - 56*g. Calculate the remainder when 558 is divided by g.
26
Let l = 94718 + -94680. Suppose z - 5*w = 0, -4*w = 2*z - 41 - 15. Calculate the remainder when l is divided by z.
18
Suppose -3*m = -75*m + 3168. What is the remainder when 406 is divided by m?
10
Let f(i) = -i**3 - 12 - 7*i**2 - 1 - 7 + 10 - 12*i + 0*i. Suppose 2*l = -3*l - 2*m - 43, -3*l + 5*m = 1. What is the remainder when f(l) is divided by 15?
14
Suppose -3 - 6 = -3*d. Suppose 2*r + 5 - d = 3*a, -2*a - 5*r = -33. Suppose 3*s - 19 = -3*o + 62, -a*o = s - 114. What is the remainder when o is divided by 10?
9
Let t(z) = -332*z + 2321. What is the remainder when t(6) is divided by 107?
8
Let i be -15 + 1/(-2)*-6. Calculate the remainder when ((-177)/i)/((-8)/(-32)) is divided by 33.
26
Suppose -2*q = v - 333, 86*q - 81*q - 1003 = -3*v. What is the remainder when 1263 is divided by v?
240
Let r = -45 - -64. Suppose -11*m + 22 = -0. Suppose 5*c - 148 = c + 3*y, m*y - 185 = -5*c. Calculate the remainder when c is divided by r.
18
Suppose 9 = 8*q - 39. Suppose 887 = q*y + 623. What is the remainder when 66 is divided by y?
22
Let d = -370 + 486. Suppose 3*f = -4*w + d, -3*w + 7 + 35 = f. Calculate the remainder when 138 is divided by f.
30
Suppose 2*s + 498 = -3*h + 519, 2*h = -5*s + 69. Calculate the remainder when 120 is divided by s.
0
Suppose -13*f = -11*f. Suppose -3 = 7*l - 157. What is the remainder when l is divided by 12/(0 + 1) + f?
10
Suppose 558*g - 555*g = 3*j - 126, -2*g + 21 = j. What is the remainder when j is divided by ((-6)/(-5))/(5/75)?
17
Suppose -6*m - 588 = -20*m. Suppose c + 3*c = 2*j - m, -c = -4*j + 112. Calculate the remainder when j is divided by 10.
9
Suppose 5*o = -4*i + 2*o + 183, -163 = -4*i + o. Suppose -i*a + 658 = 5*a. Calculate the remainder when 53 is divided by a.
11
Let v(t) = 226*t + 2. Let c be v(1). Let b = c - -82. Suppose 3*d = 4*d - 2*s - 106, 3*d - b = -2*s. Calculate the remainder when d is divided by 35.
34
Suppose 0 = -15*p + 1272 + 1023. Suppose 2*w + 3*d = w + 35, 4*w - 204 = 4*d. What is the remainder when p is divided by w?
12
Suppose -97*b = 72 - 3273. Calculate the remainder when 36 is divided by b.
3
Let h be -2*(-2)/8*(3 - 3). Let q be (h - (-4)/(-5))/((-2)/(-135)). Calculate the remainder when (-7764)/q - (1 + 11/(-9)) is divided by 21.
18
Suppose 9 = 3*z, -3*v - 3*z + 1107 = -2505. Calculate the remainder when v is divided by 149.
9
Let o be (-91580)/100 + 3/(-15). Let q = o + 922. What is the remainder when q is divided by 2/(-4) + 5/2?
0
Let q(z) = 6*z - 53. Let d be q(13). Suppose -d = w - 46. What is the remainder when 75 is divided by w?
12
Let x(u) = -u**3 + 2*u**2 - 13*u + 43. Let s be x(5). Let m = -82 - s. Calculate the remainder when 27 is divided by m.
12
Let g be (6/4)/(2/148). Let l = -76 + g. What is the remainder when (-9)/(-135) + 5 + (-41559)/(-315) is divided by l?
32
Suppose -2*c + 82 = 2*k, 41*k = -4*c + 36*k + 167. Calculate the remainder when c is divided by 30.
8
Let t(f) = -f - 2*f**2 + 1 + f**2 + 8*f + f. Let y be t(7). Suppose 13*l = y*l + 30. What is the remainder when 20 is divided by l?
2
Let u(z) be the second derivative of z**4/12 - 2*z**3 - 30*z**2 - 56*z. Calculate the remainder when 13 is divided by u(16).
1
Let n(b) = 520*b + 154. Calculate the remainder when n(2) is divided by 19.
16
Let z = 655996 - 655956. What is the remainder when -1 - ((-199)/1 - -1) is divided by z?
37
Let n(c) = -2*c**3 + 13*c**2 + 2*c + 16. Calculate the remainder when 345 is divided by n(4).
33
Let m = 126 - 121. Suppose -3*b = -2*p - 106, m*p = 5*b + 8*p - 164. Calculate the remainder when 130 is divided by b.
28
Suppose 182*c = 5510 + 778 + 446. Calculate the remainder when 624 is divided by c.
32
Let b(h) = 4*h + 3880. Let a be b(0). Suppose 5*l + 5*l - a = 0. Calculate the remainder when l is divided by 30.
28
Suppose -5*t + 500 = 5*w, 2329*w + 401 = 2333*w + 5*t. What is the remainder when w is divided by -3 + (-10 - -2)*-4?
12
Let k be (2 - (-9 + 1)) + -1. Let n be 240/k + 1/3 + 0. Suppose 25*d + 6 = n*d. Calculate the remainder when 13 is divided by d.
1
Suppose 4*o - 258 + 250 = 0. What is the remainder when 31 is divided by o/7 + 240/140?
1
Let t(f) = -31*f - 1080. Calculate the remainder when t(-36) is divided by 12.
0
What is the remainder when ((-276)/(-9))/(-4)*-381 is divided by 34?
31
Suppose 0 = w - 2*m - 5 + 1, -5*w - 4*m = -34. Suppose -w*l - 957 = -999. What is the remainder when 20 is divided by l?
6
Let j be (4 + -6)/(32/(-912)). Suppose -11 = -n + 2*q, -2*q + j - 8 = 3*n. Calculate the remainder when 284 is divided by n.
14
Let p(f) = 3*f**2 + 103*f - 444. Calculate the remainder when 866 is divided by p(4).
2
Suppose 5*g + 72 = 8*g. What is the remainder when (-4472)/208*(-9 - 1) is divided by g?
23
Calculate the remainder when 752 is divided by 9 + (3424/48)/(6/9).
56
Suppose 1 = d - 1, -475*d - 106 = -2*r - 478*d. Suppose 5*u = 5*p - 182 - 308, 2*p + 2*u = 200. What is the remainder when p is divided by r?
49
What is the remainder when 977 is divided by ((-2744)/56)/(1/(-1))?
46
Calculate the remainder when 489 + (-3)/(45/15) is divided by 18.
2
Suppose -4*i = 173 - 581. Suppose -5*b - 30 - i = -3*z, 0 = 3*z + 5*b - 102. Suppose 11*m - 4*m = 77. What is the remainder when z is divided by m?
6
Calculate the remainder when 1782 is divided by ((60/35)/(2/(-290)))/(8/(-28)).
42
Suppose 412 = 12*k - 8*k. Calculate the remainder when k is divided by (-64)/(-80) - (-181)/5.
29
Let s(u) = u**2 + 8*u - 2. Let | {
"pile_set_name": "DM Mathematics"
} |
.
161*sqrt(11)
Simplify sqrt(176)*1 - ((sqrt(110)*3 + sqrt(110) + sqrt(110) + sqrt(110))/sqrt(10))**2.
-396 + 4*sqrt(11)
Simplify (((sqrt(513) - sqrt(513)*1) + sqrt(513))/sqrt(9))/(sqrt(48) + (sqrt(48) - (sqrt(192)/sqrt(4) - sqrt(48)))).
sqrt(19)/8
Simplify -3 + -3*sqrt(300).
-30*sqrt(3) - 3
Simplify 5*(-3 + (-1*sqrt(1900) + sqrt(1900) - sqrt(1900) - sqrt(1900)))**2.
600*sqrt(19) + 38045
Simplify (-4 + -3*sqrt(171)*2)**2.
144*sqrt(19) + 6172
Simplify (sqrt(28)/(2*sqrt(4)) - (-1 + sqrt(252)))**2*-1.
-851/4 + 11*sqrt(7)
Simplify (4*(sqrt(1008) + -4 + sqrt(1008) + -3))**2.
-5376*sqrt(7) + 65296
Simplify (((sqrt(1331) - (0 + sqrt(1331)))*1 - (-3 + 0 + sqrt(1331) + sqrt(1331))) + 2)**2.
-220*sqrt(11) + 5349
Simplify (sqrt(17) - (sqrt(17) + 2 + -5) - sqrt(17) - (sqrt(17) + -1)*6) + 0.
-7*sqrt(17) + 9
Simplify sqrt(119)/(-4*sqrt(7)*2).
-sqrt(17)/8
Simplify (((3*sqrt(209) - sqrt(209))/sqrt(11) - (sqrt(931) - 3*sqrt(931)))*5)**2.
121600
Simplify 1 + (sqrt(2057) + -2)*5.
-9 + 55*sqrt(17)
Simplify -5 + -3 + (2*(-2 + sqrt(7) - sqrt(7)))**2.
8
Simplify (-1 + 1 + sqrt(396))**2.
396
Simplify (sqrt(1584) + 2 + sqrt(99) + 2)**2.
120*sqrt(11) + 2491
Simplify (sqrt(209)/(sqrt(11) - (sqrt(176)*2 + sqrt(176))))**2.
19/121
Simplify (5 + (1*sqrt(27) + sqrt(27))/sqrt(9))**2.
20*sqrt(3) + 37
Simplify -4*(3 + (sqrt(468) - (-2 + sqrt(468) - sqrt(468)))**2).
-1900 - 96*sqrt(13)
Simplify (sqrt(45)/sqrt(20))/((sqrt(27) + sqrt(432))/sqrt(9)).
sqrt(3)/10
Simplify 2*sqrt(1584) + sqrt(99)*-4.
12*sqrt(11)
Simplify (-1 + 1 + sqrt(17) + (sqrt(17) + -1 + -5 - sqrt(17)))**2.
-12*sqrt(17) + 53
Simplify (sqrt(7623) + -1)**2 + -1.
-66*sqrt(7) + 7623
Simplify (-5*(sqrt(77) + (1*sqrt(77) - sqrt(77)) + sqrt(77)))/(6*1*sqrt(11) - sqrt(11)).
-2*sqrt(7)
Simplify sqrt(15)/(sqrt(18)/sqrt(6))*-1.
-sqrt(5)
Simplify -4*(sqrt(10)/(6*sqrt(72)))**2.
-5/324
Simplify -1*(sqrt(17) + 2) - (sqrt(17)*1*-1)**2.
-19 - sqrt(17)
Simplify (4*(sqrt(136)*3*-4)/sqrt(8))**2.
39168
Simplify (sqrt(171)*-1 - (1 + sqrt(19))*-4)**2.
8*sqrt(19) + 35
Simplify (sqrt(48)/sqrt(4))**2 - (sqrt(189) + sqrt(21))/sqrt(7).
-4*sqrt(3) + 12
Simplify ((5 + 0 + sqrt(200))*-5)**2.
2500*sqrt(2) + 5625
Simplify -2*(sqrt(68) + sqrt(68) + 1 + sqrt(68)).
-12*sqrt(17) - 2
Simplify 1 + -6*(sqrt(833))**2*6.
-29987
Simplify sqrt(7) + sqrt(7) + (sqrt(252)/sqrt(4))**2 - (2 + sqrt(847))**2.
-788 - 42*sqrt(7)
Simplify -5*sqrt(33)/(sqrt(44)/sqrt(4)).
-5*sqrt(3)
Simplify sqrt(1100) + 4 + 2.
6 + 10*sqrt(11)
Simplify sqrt(7) + -1 + (sqrt(7) + 0)**2 + (sqrt(7) - (-4 + sqrt(63))).
-sqrt(7) + 10
Simplify ((sqrt(7)*1 + 0 - sqrt(7)) + -3)**2*5.
45
Simplify (sqrt(304) + 5)**2 + sqrt(57)/sqrt(192).
321*sqrt(19)/8 + 329
Simplify (sqrt(432) - (sqrt(432)*1)**2) + sqrt(432) + sqrt(9)/sqrt(363).
-432 + 265*sqrt(3)/11
Simplify -5*-5*3*(sqrt(1008) + 1)**2.
1800*sqrt(7) + 75675
Simplify sqrt(2) + sqrt(2) + (sqrt(2) + sqrt(18))*-3 + (sqrt(2) - (sqrt(2) + (sqrt(2) - 6*(sqrt(2) - sqrt(2)*1)))) + 2.
-11*sqrt(2) + 2
Simplify -2*(sqrt(2) - sqrt(6)/sqrt(3))**2*-6*-1.
0
Simplify 1*(0 + sqrt(252)).
6*sqrt(7)
Simplify -5*sqrt(12) + ((sqrt(180)/sqrt(6))/sqrt(10))**2.
-10*sqrt(3) + 3
Simplify (sqrt(228) - -1*(-1*sqrt(228) - sqrt(228)))/sqrt(12).
-sqrt(19)
Simplify (-1*sqrt(44)*2)**2.
176
Simplify ((sqrt(170)*4 - sqrt(170))*6)/sqrt(10).
18*sqrt(17)
Simplify (1*(sqrt(99) + -5*sqrt(99)))/sqrt(9).
-4*sqrt(11)
Simplify -6*(0 + sqrt(7))**2 + (sqrt(343) + 0)**2 + sqrt(343).
7*sqrt(7) + 301
Simplify (2 + sqrt(1100))*-3 - sqrt(1100).
-40*sqrt(11) - 6
Simplify -3 + (sqrt(117) - (sqrt(117) + 0 - sqrt(117))) + 0.
-3 + 3*sqrt(13)
Simplify sqrt(130)/((-2*sqrt(100))/sqrt(10)) + -2*sqrt(832)*6.
-193*sqrt(13)/2
Simplify (-4*(3 + -3 + (sqrt(13) - sqrt(52)/sqrt(4))))**2.
0
Simplify 3 + (sqrt(605) - ((-2 + sqrt(605))**2*2 + sqrt(605))).
-1215 + 88*sqrt(5)
Simplify sqrt(1088) + 1 + sqrt(1088) + 0.
1 + 16*sqrt(17)
Simplify ((sqrt(11) - (sqrt(33)/sqrt(3) + -5)) + (sqrt(11) + 1)*-5 + 2)**2 + -2.
-20*sqrt(11) + 277
Simplify (sqrt(3) - (0 + sqrt(3) - sqrt(3)))*4 + sqrt(6)/sqrt(2) + 0.
5*sqrt(3)
Simplify -2 + ((1 + sqrt(304) + sqrt(304))**2 - sqrt(304))*-1.
-1219 - 12*sqrt(19)
Simplify ((sqrt(24)*-2)/sqrt(2))/(sqrt(6) - (sqrt(6) + sqrt(24))*3).
sqrt(2)/4
Simplify ((sqrt(13) + -2)*1)**2 + 1 + (2 + sqrt(13))**2.
35
Simplify sqrt(143)/(-4*5*sqrt(11)).
-sqrt(13)/20
Simplify 4*(sqrt(3) + sqrt(6)/(sqrt(4)/sqrt(2)))**2.
48
Simplify (3*2*sqrt(76) - sqrt(76))/(-1*sqrt(196)).
-5*sqrt(19)/7
Simplify (sqrt(286)/(sqrt(11) - (sqrt(11) - sqrt(396))))/sqrt(2).
sqrt(13)/6
Simplify ((sqrt(30)/sqrt(3) + sqrt(10))*3)/(-1*sqrt(720) + sqrt(5)).
-6*sqrt(2)/11
Simplify (sqrt(756)/(-3*sqrt(60)/sqrt(5)))**2.
7
Simplify (2 + sqrt(720) + -4 + sqrt(5)*1)**2.
-52*sqrt(5) + 849
Simplify sqrt(2) - sqrt(4)/(2*sqrt(2) + sqrt(2)) - (sqrt(80)/sqrt(4))/sqrt(10).
-sqrt(2)/3
Simplify (1*sqrt(45) + 1)**2 + -5.
6*sqrt(5) + 41
Simplify (2*(0 + sqrt(363)) + 2)**2.
88*sqrt(3) + 1456
Simplify ((sqrt(1584) - (sqrt(1584) - (1 + -2 + sqrt(1584) - sqrt(1584)))) + 2)**2.
1
Simplify -3 + sqrt(6)/(sqrt(75)*-1).
-3 - sqrt(2)/5
Simplify (sqrt(192)*-3 + sqrt(192) - sqrt(108)/sqrt(4))*2.
-38*sqrt(3)
Simplify (-5*sqrt(26)/sqrt(2))**2 + -4.
321
Simplify 3 + sqrt(1573) + (sqrt(1573) - (sqrt(1573) + (sqrt(1573)*-2 - sqrt(1573))**2)) + sqrt(1573).
-14154 + 22*sqrt(13)
Simplify sqrt(12) + 0 + sqrt(3)*-1 + 5 + -1.
sqrt(3) + 4
Simplify (sqrt(10)*-2)/sqrt(5) + (0 + sqrt(2) + -3)**2.
-8*sqrt(2) + 11
Simplify (sqrt(55)/sqrt(5)*-1)**2 - ((-2*sqrt(99) - sqrt(99))/sqrt(9))**2.
-88
Simplify sqrt(396) - (sqrt(396) - (sqrt(396)*-2 + -1))**2.
-3565 - 30*sqrt(11)
Simplify (sqrt(28))**2*-2 + (-1*(sqrt(14)/sqrt(2) - sqrt(7)))**2.
-56
Simplify (sqrt(2057) + 0)**2 + 2 - ((sqrt(17)*-2*3 - sqrt(17)) + -1).
7*sqrt(17) + 2060
Simplify (2*-2*sqrt(20))/(sqrt(60)/sqrt(96)).
-16*sqrt(2)
Simplify 6*(-4*sqrt(147) - sqrt(147)).
-210*sqrt(3)
Simplify ((sqrt(19) + 1)**2 + 1 - sqrt(19))*4.
4*sqrt(19) + 84
Simplify ((sqrt(13) + 2)**2 + -3)*-6*3.
-72*sqrt(13) - 252
Simplify 2*(-1 + sqrt(3))*2.
-4 + 4*sqrt(3)
Simplify 2*((1*sqrt(567) - sqrt(567)) + 4)**2.
32
Simplify (sqrt(121) + ((sqrt(121) + -3*sqrt(121))*5 + sqrt(121) - sqrt(121)))/(3*sqrt(1100) - sqrt(1100) - sqrt(1100)).
-9*sqrt(11)/10
Simplify 5 + -3 + sqrt(700) + 3.
5 + 10*sqrt(7)
Simplify 4 + sqrt(34)/(sqrt(4)/sqrt(2))*-4.
-4*sqrt(17) + 4
Simplify 5 + (-4*(sqrt(7) + -1) - sqrt(7))**2.
-40*sqrt(7) + 196
Simplify 1*(sqrt(17) + sqrt(17) + 1) + -1 - sqrt(187)/(sqrt(11) - -6*sqrt(33)/sqrt(3)).
13*sqrt(17)/7
Simplify 2 + (-1*(-1 + sqrt(13)) - (sqrt(13) + -1*sqrt(13) + 3)).
-sqrt(13)
Simplify ((sqrt(720) + 1 + -5 - (sqrt(720) + sqrt(720) + 0 + sqrt(720) + 2)) + 3)**2.
144*sqrt(5) + 2889
Simplify (sqrt(847) + -1 + (sqrt(168)/sqrt(3))/sqrt(8))**2 + 0.
-24*sqrt(7) + 1009
Simplify (sqrt(5) + sqrt(180)/sqrt(4) + sqrt(10)/sqrt(8))**2.
405/4
Simplify (-3*((sqrt(15) - sqrt(30)/sqrt(2)) + sqrt(15) - sqrt(15)))/((sqrt(5) + sqrt(10)/sqrt(2))*3 + sqrt(5) + sqrt(5)).
0
Simplify (-2*-6*(4 + (sqrt(325) - (sqrt(325) + -2)) + sqrt(325)))**2.
8640*sqrt(13) + 51984
Simplify sqrt(78)/(4*sqrt(6)) + -4*(sqrt(13) + sqrt(637)).
-127*sqrt(13)/4
Simplify 5 + ((-3 + sqrt(112))*1)**2.
-24*sqrt(7) + 126
Simplify (((sqrt(220) - (sqrt(220) + sqrt(220)*2 - sqrt(220)) - sqrt(220) - sqrt(220))/sqrt(4))/(4*(sqrt(5)*-1 - sqrt(5))))**2.
99/64
Simplify (sqrt(133) + sqrt(133)*-2*-6)/(-2*sqrt(7)*-2).
13*sqrt(19)/4
Simplify ((5*(1 + sqrt(7) + sqrt(7)) - sqrt(7))*5)**2.
2250*sqrt(7) + 14800
Simplify (-3*sqrt(1300)*2)**2.
46800
Simplify ((sqrt(105)/sqrt(5) + sqrt(21))*-2)/(sqrt(56)/(sqrt(32)/sqrt(4))).
-4*sqrt(3)
Simplify sqrt(3) + -1 + -1 - (5 + 2*sqrt(3)).
-7 - sqrt(3)
Simplify (sqrt(208) + 1)*-2 + -2.
-8*sqrt(13) - 4
Simplify (sqrt(1539) + 0 + sqrt(1539) + -3)**2.
-108*sqrt(19) + 6165
Simplify 0 + sqrt(38)/sqrt(2)*1 + 5.
sqrt(19) + 5
Simplify (sqrt(14)/sqrt(32)*4 + 1)**2.
2*sqrt(7) + 8
Simplify 1*sqrt(304) - 3*(sqrt(95)/sqrt(5) + sqrt(19)).
-2*sqrt(19)
Simplify (((sqrt(200) + sqrt(200)*-4)*5 + sqrt(200))/sqrt(10))**2.
3920
Simplify sqrt(76)/(sqrt(64)*2)*-3*6.
-9*sqrt(19)/4
Simplify (2*sqrt(102)*-6)/sqrt(6).
-12*sqrt(17)
Simplify ((1 + sqrt(51)/sqrt(3))*-5)**2.
50*sqrt(17) + 450
Simplify sqrt(605)*-2*3*-2 + 1.
1 + 132*sqrt(5)
Simplify (5*(sqrt(204) + sqrt(204)*2) + sqrt(204))/(sqrt | {
"pile_set_name": "DM Mathematics"
} |
8. Let k be f(7). Let n(m) = -m. Let g(o) = 7*o - 2. Determine k*g(h) - 6*n(h).
-h + 2
Let m(b) = -6*b**3 - 27*b**2 - 27*b - 27. Suppose 4*t = -3*i + 93, -2*i - 77 = -2*t - 13. Let s(u) = -u**3 - 4*u**2 - 4*u - 4. What is t*s(h) - 4*m(h)?
-3*h**3
Let j(c) = 4*c**2 - 6*c. Let o(y) = -y**2 + y - 1. What is j(f) + 6*o(f)?
-2*f**2 - 6
Let g(o) = -3*o**2 + 3*o + 2. Let u(z) = -7*z**2 + 7*z + 4. Let a be (-42)/(-4) - 33/(-22). Let x = 6 + 11. Let v = a - x. What is v*g(y) + 2*u(y)?
y**2 - y - 2
Let k(b) be the third derivative of 3*b**6/40 + 7*b**5/60 - b**3/6 - 17*b**2. Let r(c) = -4*c**3 - 3*c**2. Give 3*k(f) + 7*r(f).
-f**3 - 3
Let r(q) = 34*q**2 + 2. Let g(x) = 17*x**2 + 1. What is 7*g(w) - 4*r(w)?
-17*w**2 - 1
Let l(b) = -b + 1. Let d(x) be the second derivative of -x**3 + 3*x**2/2 + 4*x. What is d(g) - 5*l(g)?
-g - 2
Let l(u) = 2*u**3 - 6*u**2 + 3. Let c(x) = 5*x**3 - 17*x**2 + 8. Calculate 3*c(w) - 8*l(w).
-w**3 - 3*w**2
Let y(v) = -4*v**2 - 4*v + 9. Let i(o) = -o**2 + o**2 - o + o**2 + 2 - 2*o**2. Calculate 26*i(h) - 6*y(h).
-2*h**2 - 2*h - 2
Let u(l) = -7*l**2 + 1 + 2*l + 6*l**2 + 0*l**2. Let x(k) = 2*k**2 - 4*k - 2. Suppose 0 = -2*b - b + 15. Determine b*u(w) + 2*x(w).
-w**2 + 2*w + 1
Let w be -15*3/10*(-32)/24. Let p(j) = 2*j**3 + 5*j**2 + 6*j + 6. Let s(b) = -2*b**3 - 4*b**2 - 5*b - 5. What is w*s(l) + 5*p(l)?
-2*l**3 + l**2
Let m(l) = 11*l**3 + 5*l**2 + 5. Let s(k) = 2*k**2 - 13 - 4*k + 15 + 5*k**3 + 4*k. Calculate -2*m(h) + 5*s(h).
3*h**3
Let x(d) be the first derivative of d**3/3 - d**2/2 - d - 1. Let k(n) be the first derivative of -n**3/3 - 3*n**2/2 - 29. Calculate k(w) - x(w).
-2*w**2 - 2*w + 1
Let q(b) = -9*b + 7. Let m be (1 + (-1 - 1))*1. Let p be 5/(-10)*(-7 + m). Let g(j) = -5*j + 4. What is p*q(i) - 7*g(i)?
-i
Let m(f) = 2*f + 8. Let l(w) = -3*w - 9. Give 5*l(y) + 6*m(y).
-3*y + 3
Let w(y) = 13*y**2 - 6. Let z(a) = 1. Give w(s) + 6*z(s).
13*s**2
Let d(y) = -377*y**2 + 104*y - 104. Let f(n) = 18*n**2 - 5*n + 5. Determine -5*d(m) - 104*f(m).
13*m**2
Let m(r) = r**3 + r**2 + r + 1. Suppose -q + 2*q - i = -17, 3 = i. Let g = 11 + q. Let v(j) = j**2 + j + 1. What is g*v(d) + 3*m(d)?
3*d**3
Let f(y) = 7*y**2 - 2. Let o(z) = 120*z**2 - 35. Determine 105*f(i) - 6*o(i).
15*i**2
Let p(f) = -f**2 - 1. Let r(i) = -i**3 + 6*i**2 + 5. Let m = -6 + 1. What is m*p(x) - r(x)?
x**3 - x**2
Let i(x) = 2*x**3 + 7*x - 2*x + 3 - 7*x + 6*x. Let j(n) = n + 1. Let g(m) = -m**3 - 3*m**2 - m - 4. Let b be g(-3). What is b*i(h) + 4*j(h)?
-2*h**3 + 1
Let w(r) = r**2 - 4*r + 7. Suppose 0 = -p - 3*x + 8, -x + 24 = 4*p + 3*x. Let b(h) = h**2 - 3*h + 5. Determine p*w(i) - 7*b(i).
-2*i**2 + i
Let w(z) = 4*z**3 - 4*z - 8*z**2 - 5*z**3 + 6*z**2. Let r(c) = -2*c**3 - 4*c**2 - 7*c. Determine -4*r(i) + 7*w(i).
i**3 + 2*i**2
Let r(g) = -g - 3. Let h(p) = 0*p - 2*p + p - 2. Let f(q) = q**2 + 10*q + 14. Let k be f(-9). Give k*h(t) - 4*r(t).
-t + 2
Let s(l) = -4*l**3 + 4*l**2 - 3*l + 3. Let k(c) = -c**3 + c**2 + 1. Determine 3*k(f) - s(f).
f**3 - f**2 + 3*f
Let v(z) = 45*z**2 + 11*z. Let m(r) = -11*r**2 - 3*r. Give 22*m(t) + 6*v(t).
28*t**2
Let k(n) = 7*n**2 + 4*n - 1. Let o(w) = -14*w**2 - 9*w + 2. Give 7*k(u) + 3*o(u).
7*u**2 + u - 1
Let q(n) = 4*n**3 - 2*n**2 - n. Let b(l) = 3*l**3 - 2*l**2 - l. Give 5*b(u) - 4*q(u).
-u**3 - 2*u**2 - u
Let t(o) be the second derivative of o**4/4 + 11*o. Let i(c) = -8*c**2. Let n be 3*2/6*-4. Calculate n*i(a) - 11*t(a).
-a**2
Let w(i) = 2*i**2. Let n(r) = -2*r**2. Suppose 3*p = 9 + 3. Give p*w(a) + 3*n(a).
2*a**2
Let x(i) = 0*i**3 - 8*i**3 - 2001*i**2 - 5 + 1996*i**2. Suppose -5*l + 20 = -5. Let c(z) = 9*z**3 + 6*z**2 + 6. Give l*c(s) + 6*x(s).
-3*s**3
Let k(c) = 2*c - 6. Let v(t) = -t + 5. Let u(a) be the second derivative of a**5/20 - a**4/2 + 7*a**3/6 - 7*a**2/2 + a. Let m be u(5). What is m*k(o) + 4*v(o)?
2*o + 2
Let b(z) = 5*z**2 + z - 6. Suppose 3*q - 5*t - 8 = 0, 2*q = 6*q + 3*t - 30. Let d(n) = -11*n**2 - 2*n + 13. What is q*d(w) + 13*b(w)?
-w**2 + w
Let k be (5 - 2)*4/(-6). Suppose g - 4 = -0. Let l(s) = 3*s - 1 + g*s**2 + 5*s**3 + 0 - 3*s**2 + 0. Let y(c) = 4*c**3 + c**2 + 2*c - 1. What is k*l(w) + 3*y(w)?
2*w**3 + w**2 - 1
Suppose -h + 8 = 4*l, 6*h = h - 3*l + 40. Let g(f) = -h*f + 3*f + f**2 - 2*f**3 + 4*f**2. Let r(z) = -2*z**3 + 6*z**2 - 6*z. Give -6*g(v) + 5*r(v).
2*v**3
Suppose 2*w - 6 = 2*g + 12, -18 = 2*g + 3*w. Let u(k) = 3*k**2 - 2*k - 1. Let n(b) = -7*b**2 + 4*b + 2. Give g*u(c) - 4*n(c).
c**2 + 2*c + 1
Let k(f) = 16*f + 17. Let x(m) = -4*m - 4. What is 2*k(c) + 9*x(c)?
-4*c - 2
Let h(f) = f**3 + 12*f**2 + 9*f + 9. Let s(k) = -k + 2. Let q be s(4). Let a(n) = 3*n**2 + 2*n + 2. Calculate q*h(i) + 9*a(i).
-2*i**3 + 3*i**2
Let o(b) = b + 9. Let u be o(-7). Let f(i) = -u*i + 3*i - 4*i. Let v(z) = -30*z. Calculate 21*f(w) - 2*v(w).
-3*w
Let c(f) = -6*f**2 + 6*f - 6. Let w(i) = -i - 1. Let g(k) = 2*k. Let b(z) = g(z) + w(z). Calculate -6*b(q) + c(q).
-6*q**2
Let h(j) = j**2 + j. Let v(k) = 16*k**2 + 14*k. What is -84*h(x) + 6*v(x)?
12*x**2
Let p(m) = 4*m**3 - 2*m**2 + 3. Suppose -4*j + 20 = -9*j. Let w = j - 0. Let s(t) = -3*t**3 + 2*t**2 - 2. Determine w*p(n) - 5*s(n).
-n**3 - 2*n**2 - 2
Let m(t) = 28*t**3 - t + 2. Let c(w) = 29*w**3 - w + 3. Give 2*c(j) - 3*m(j).
-26*j**3 + j
Let m(f) = 27*f + 4. Let y(a) = 13*a + 2. What is 2*m(u) - 5*y(u)?
-11*u - 2
Let x(n) = -12*n**3 - 11*n + 10. Let p = -20 - 2. Suppose 4*y + 2 = 3*y. Let a(z) = z**3 + z - 1. Calculate p*a(b) + y*x(b).
2*b**3 + 2
Let p(q) = 19*q - 2. Let u(k) = 246*k - 27. What is 27*p(l) - 2*u(l)?
21*l
Let r(l) = 3*l**3 + l**2 - 10. Let y(j) = -7*j**3 - 2*j**2 - j + 21. Determine 5*r(h) + 2*y(h).
h**3 + h**2 - 2*h - 8
Let w(l) = l - 2. Let r(b) = -2*b + 1. What is 3*r(t) + 4*w(t)?
-2*t - 5
Let u(l) = -11*l**2 - 4. Let z(y) = -10*y**2 - 3. Calculate 2*u(j) - 3*z(j).
8*j**2 + 1
Let o(i) = -108 - 5*i + i**2 + 113 + 0*i**2. Let x(n) = n**2 - 6*n + 6. Calculate -6*o(w) + 5*x(w).
-w**2
Let g(t) be the second derivative of -t**4/12 - 2*t**3/3 - 3*t**2/2 + 8*t. Let w(p) = 2*p**2 + 7*p + 5. Calculate -5*g(q) - 3*w(q).
-q**2 - q
Let c(b) = -b**3 - 3*b**2 - 3. Let p = -3 + 7. Let d be (-6)/2 + -6 + 6. Let l = d - -6. Let y(j) = 2*j**3 + 4*j**2 + 4. Give l*y(m) + p*c(m).
2*m**3
Let x(t) = t**3 - t**2 - 2*t + 2. Let m(h) = -6*h**3 + 4*h**2 + 11*h - 11. Let r(o) = -2*m(o) - 11*x(o). Let k(w) = 4*w**2. Determine 3*k(f) - 4*r(f).
-4*f**3
Let c(b) = -b**3 - 5*b**2 - 4*b - 6. Let h be c(-5). Let r = 3 - 5. Let d(n) = 7 - 8*n**3 - 7 + 7. Let t(w) = -w**3 + 1. Calculate h*t(v) + r*d(v).
2*v**3
Let l(g) = -5*g**2 - 5*g - 6. Let c(d) = -6*d**2 - d + 4. Let r(p) = 7*p**2 + p - 5. Let o(t) = -6*c(t) - 5*r(t). Give l(q) + 4*o(q).
-q**2 - q - 2
Let w(u) = -4. Let o(i) = -i + 7. Suppose -s = -5*c + 2*s + 24, -2*s = -2*c + 12. Give c*o(g) + 5*w(g).
-3*g + 1
Let h(p) = -4*p - 9. Let v(j) = -j. Let l(q) = 1. Let z(s) = -2*l(s) + v(s). Suppose 0 = -3*w - 2*b + 37, -4*w + 13 = 2*b - 33. Determine w*z(y) - 2*h(y).
-y
Let l(g) = g**3 + 3*g**2 - 5*g. Let j be l(-4). Let m(r) = 2*r + 5. Let c(o) = 3*o + 9. Give j*c(i) - 7*m(i).
-2*i + 1
Let s(q) = -1. Let x(t) = -15*t - 9. Calculate -6*s(y) + x(y).
-15*y - 3
Let y(u) = 3*u - 4. Suppose -5*w = 3*k - 4, k + 3*k + 2*w - 10 = 0. Let c(m) = -3*m + 5. Determine k*y(h) + 2*c(h).
3*h - 2
Suppose -10 = -2*u, 4*k - 3*k + 4*u - 26 = 0. Suppose -k*b + 10*b + 8 = 0. Let t(n) = n**3 - n + 1. Let c(i) = -2*i**3 - i**2 + i - 1. Give b*c(w) - 2*t(w).
2*w**3 + 2*w**2
Let i(p) = -p**2 - 5 - 9*p**2 - 10*p + 5*p**2. Let r(d) = -6*d**2 - 11*d - 6. Determine -7*i(n) + 6*r(n).
-n**2 + 4*n - 1
Let n(w) = -w**2 - 7*w - 1. Let h(u) = u**2 + 7*u. Calculate -4*h(x) - 3*n(x).
-x**2 - 7*x + 3
Suppose 7*o - 3*o - 12 = 0. Let l(w) = 2 - o + 2 - w. Let u(v) = -5*v + 3. Give 3*l(t) - u(t).
2*t
Let b(x) = -2*x**3 + 5*x**2 - 3*x + 2. Let k(w) = 3*w**3 - 8*w**2 + 5*w - 3. Let r(u) = u**2 + 10*u - 16. Let j be r(-11). Give j*k(d) - 8*b(d).
d**3 - d - 1
Let z be (6 - 3) + 0 + -7. Let a(b) = -b + 2. Let j(n) = 10 - 6 - n - 2. Calculate z*j(q) + 5*a(q).
-q + 2
Let d(f) = -5*f + 1. Let c(u) = 2*u - 1. Give -7*c(q) - 3*d(q).
q + 4
Let d(z) = -9*z**2 + 9*z + 2. Suppose 3*x - 4*f = -13, 4*x + 34 = 5*f - 3*f. Let t(s) = -5*s**2 + 5*s + 1. What is x*t(o) + 6*d(o)?
o**2 - o + 1
Let j(s) = | {
"pile_set_name": "DM Mathematics"
} |
digit of 2439375023?
4
What is the thousands digit of 61762118?
2
What is the ten thousands digit of 965081339?
8
What is the hundred thousands digit of 135847233?
8
What is the hundreds digit of 48884931?
9
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8
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4
What is the tens digit of 31341502?
0
What is the units digit of 8994542?
2
What is the hundred thousands digit of 16436490?
4
What is the millions digit of 617461816?
7
What is the tens digit of 17990479?
7
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2
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2
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9
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7
What is the hundred thousands digit of 5016717477?
7
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6
What is the tens digit of 5891931836?
3
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0
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8
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3
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8
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2
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4
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9
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3
What is the tens digit of 371283195?
9
What is the hundred thousands digit of 974280248?
2
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0
What is the billions digit of 2810798867?
2
What is the ten thousands digit of 44382123?
8
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0
What is the tens digit of 110438130?
3
What is the units digit of 117142701?
1
What is the ten thousands digit of 27380458?
8
What is the hundreds digit of 53478513?
5
What is the millions digit of 34224477?
4
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3
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9
What is the ten millions digit of 105297430?
0
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1
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6
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9
What is the hundreds digit of 95840321?
3
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1
What is the millions digit of 419102845?
9
What is the units digit of 647986341?
1
What is the tens digit of 751653725?
2
What is the hundred thousands digit of 203674831?
6
What is the ten thousands digit of 380948525?
4
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2
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0
What is the hundred thousands digit of 2195702745?
7
What is the hundreds digit of 64327728?
7
What is the tens digit of 269349510?
1
What is the hundred thousands digit of 38606722?
6
What is the hundred millions digit of 720917174?
7
What is the billions digit of 3652699391?
3
What is the thousands digit of 4753783781?
3
What is the hundreds digit of 120272581?
5
What is the hundred thousands digit of 512953978?
9
What is the units digit of 2878039354?
4
What is the units digit of 1722768403?
3
What is the ten thousands digit of 6211756581?
5
What is the tens digit of 112608843?
4
What is the millions digit of 453945232?
3
What is the tens digit of 72843830?
3
What is the tens digit of 754580146?
4
What is the thousands digit of 175183786?
3
What is the hundred thousands digit of 412685027?
6
What is the millions digit of 89883404?
9
What is the ten millions digit of 288807730?
8
What is the millions digit of 158216382?
8
What is the millions digit of 1360007290?
0
What is the ten thousands digit of 3126912527?
1
What is the hundreds digit of 1850897087?
0
What is the hundred thousands digit of 254369936?
3
What is the tens digit of 3005874194?
9
What is the thousands digit of 44820281?
0
What is the thousands digit of 767336569?
6
What is the units digit of 3061570144?
4
What is the millions digit of 146862284?
6
What is the hundred thousands digit of 91006760?
0
What is the hundreds digit of 4038928960?
9
What is the millions digit of 188836566?
8
What is the hundred thousands digit of 1173959766?
9
What is the ten millions digit of 232418988?
3
What is the hundreds digit of 952127425?
4
What is the millions digit of 966465323?
6
What is the millions digit of 229998620?
9
What is the units digit of 153416?
6
What is the hundred millions digit of 171682582?
1
What is the tens digit of 2379546471?
7
What is the millions digit of 3272643?
3
What is the units digit of 6833181?
1
What is the millions digit of 828683711?
8
What is the ten millions digit of 1831460196?
3
What is the millions digit of 1432873972?
2
What is the ten millions digit of 54476778?
5
What is the billions digit of 2232905190?
2
What is the hundred thousands digit of 36347098?
3
What is the units digit of 413333021?
1
What is the hundreds digit of 44694492?
4
What is the ten millions digit of 467823663?
6
What is the hundred millions digit of 440093670?
4
What is the units digit of 272665069?
9
What is the hundreds digit of 221951538?
5
What is the tens digit of 15573204?
0
What is the tens digit of 1772206312?
1
What is the ten millions digit of 300378503?
0
What is the units digit of 239212961?
1
What is the units digit of 82596025?
5
What is the hundred millions digit of 165359697?
1
What is the hundred millions digit of 5172024583?
1
What is the hundred thousands digit of 4871534557?
5
What is the units digit of 2159887999?
9
What is the hundred millions digit of 565691769?
5
What is the hundreds digit of 5070205651?
6
What is the hundreds digit of 5248924?
9
What is the hundreds digit of 239849210?
2
What is the hundreds digit of 436613616?
6
What is the ten millions digit of 256826276?
5
What is the hundred thousands digit of 866844431?
8
What is the thousands digit of 2186624742?
4
What is the hundred millions digit of 635964699?
6
What is the ten thousands digit of 4935606522?
0
What is the millions digit of 2012034168?
2
What is the ten millions digit of 528239784?
2
What is the billions digit of 1551694076?
1
What is the billions digit of 1373570608?
1
What is the hundred thousands digit of 29464082?
4
What is the thousands digit of 131560058?
0
What is the hundreds digit of 153511875?
8
What is the hundreds digit of 83309674?
6
What is the units digit of 29062307?
7
What is the hundred thousands digit of 75737304?
7
What is the tens digit of 1111108480?
8
What is the hundreds digit of 49779945?
9
What is the hundreds digit of 93722809?
8
What is the hundreds digit of 399805272?
2
What is the tens digit of 7756371230?
3
What is the thousands digit of 130159056?
9
What is the thousands digit of 12728761?
8
What is the hundreds digit of 3524535598?
5
What is the hundred millions digit of 179010519?
1
What is the thousands digit of 60727532?
7
What is the hundred thousands digit of 84115815?
1
What is the ten millions digit of 94692281?
9
What is the thousands digit of 55573137?
3
What is the hundred thousands digit of 1787181?
7
What is the ten millions digit of 443317822?
4
What is the units digit of 98903578?
8
What is the millions digit of 230965865?
0
What is the thousands digit of 9288352?
8
What is the thousands digit of 6086659901?
9
What is the hundreds digit of 3031434867?
8
What is the thousands digit of 167011885?
1
What is the ten millions digit of 276611801?
7
What is the hundred thousands digit of 196187570?
1
What is the ten thousands digit of 534302337?
0
What is the units digit of 593685104?
4
What is the hundred thousands digit of 113135733?
1
What is the units digit of 399919686?
6
What is the ten millions digit of 60280555?
6
What is the ten millions digit of 47810784?
4
What is the ten thousands digit of 45741453?
4
What is the ten millions digit of 2068056196?
6
What is the units digit of 1259752463?
3
What is the thousands digit of 1381465212?
5
What is the thousands digit of 537705439?
5
What is the millions digit of 345593500?
5
What is the hundred millions digit of 283541778?
2
What is the thousands digit of 1251191242?
1
What is the ten millions digit of 2329888541?
2
What is the ten millions digit of 62835700?
6
What is the ten millions digit of 62164296?
6
What is the tens digit of 654100770?
7
What is the tens digit of 3560399582?
8
What is the tens digit of 4057269?
6
What is the millions digit of 3717535153?
7
What is the units digit of 5044093911?
1
What is the ten millions digit of 2487252558?
8
What is the hundred tho | {
"pile_set_name": "DM Mathematics"
} |
ase 7) to base 4
-11320102330
What is a0920 (base 15) in base 13?
14a495
What is 207571 (base 9) in base 7?
1023361
-444345033 (base 6) to base 15
-a91780
Convert -13008 (base 15) to base 3.
-10002100022
Convert -3345445 (base 6) to base 15.
-35458
Convert -20465411 (base 8) to base 9.
-8163788
Convert -1210533 (base 8) to base 14.
-89071
-c116a (base 13) to base 4
-1110101202
-100208 (base 9) to base 7
-334436
Convert -100111101010110110 (base 2) to base 16.
-27ab6
What is 343530 (base 11) in base 9?
1022403
7320827 (base 9) to base 12
13873b1
What is 1001000110100110110 (base 2) in base 4?
1020310312
What is 6b592 (base 13) in base 15?
3d34c
Convert -39b765 (base 14) to base 2.
-111100110000011001101
-24b09 (base 12) to base 5
-3044402
Convert -1273352 (base 12) to base 8.
-15672456
Convert -15000633 (base 7) to base 9.
-2582036
What is -371673 (base 12) in base 10?
-894327
-49a956 (base 11) to base 15
-109308
Convert -111111110000110 (base 2) to base 11.
-22589
18186018 (base 9) to base 14
13029bb
9b212 (base 14) to base 11
237824
Convert 2a791 (base 11) to base 15.
cd79
Convert 2032137 (base 9) to base 15.
16635d
What is -10001200101110 (base 3) in base 9?
-3050343
What is -49499 (base 16) in base 11?
-195596
Convert 112043112 (base 5) to base 13.
147ba2
Convert -2070e4 (base 16) to base 15.
-2bee1c
What is -b12945 (base 12) in base 6?
-135114125
Convert -3211020 (base 5) to base 7.
-313046
What is -4660323 (base 11) in base 14?
-111ca88
Convert -b1ab31 (base 14) to base 12.
-2007047
What is 2114432 (base 5) in base 3?
1210212011
4541b (base 15) to base 14
5a3db
Convert 1002200200 (base 3) to base 6.
244113
What is 32124314 (base 5) in base 14?
70876
-341431022 (base 5) to base 9
-2757461
What is -7050367 (base 8) in base 13?
-4cc88b
67c229 (base 13) to base 3
11121200211112
What is -8d9aa2 (base 14) in base 9?
-10068771
Convert 6b5b5a (base 13) to base 5.
1123223343
What is 334eea (base 16) in base 14?
6375b4
Convert -18821 (base 16) to base 7.
-565445
Convert 28454 (base 13) to base 11.
51755
What is 1010010010001000111010 (base 2) in base 8?
12221072
767655 (base 8) to base 4
332332231
-11100011011110010111010 (base 2) to base 7
-120233302
Convert -177528 (base 9) to base 15.
-22b25
Convert -183101 (base 12) to base 11.
-267653
Convert -28c83 (base 15) to base 9.
-218716
-101042 (base 8) to base 7
-166061
127475 (base 11) to base 7
1462502
-2023031402 (base 5) to base 8
-17536165
What is -1003320300 (base 4) in base 6?
-5543200
-7a4181 (base 11) to base 16
-138545
Convert -10010010001001110100101 (base 2) to base 11.
-278118a
-16aa8a4 (base 14) to base 10
-11169792
Convert 3240441 (base 6) to base 7.
1240006
-17af85 (base 16) to base 8
-5727605
-101110000111101101 (base 2) to base 9
-317118
Convert 784053 (base 9) to base 15.
93d80
3561351 (base 7) to base 6
13404110
Convert 5e28c4 (base 15) to base 14.
857263
What is 16396 (base 10) in base 3?
211111021
-162201 (base 8) to base 3
-2222020120
What is 1f7e8 (base 16) in base 2?
11111011111101000
Convert e01a (base 15) to base 16.
b8ab
-1100061 (base 11) to base 10
-1932679
What is 25398 (base 10) in base 9?
37750
-2138047 (base 9) to base 13
-3123b5
Convert -a16da (base 14) to base 10.
-388272
-10101010010110000101110 (base 2) to base 12
-1a522ba
What is -11031020231 (base 4) in base 14?
-2773c1
834704 (base 9) to base 6
14342134
What is -22203110101 (base 4) in base 3?
-12012112101001
Convert 2264701 (base 11) to base 9.
7404047
What is -10202102 (base 4) in base 3?
-221111002
What is 3d7099 (base 14) in base 3?
11000022212020
Convert -10111201020001 (base 3) to base 2.
-111000111001000011000
What is -136664 (base 8) in base 14?
-139ac
Convert -402165 (base 8) to base 12.
-64619
1212200110001 (base 3) to base 8
3634335
11010112220 (base 3) to base 5
10100241
What is -1c4c5 (base 14) in base 8?
-215155
Convert -6b307 (base 12) to base 15.
-2c95d
-8095a6 (base 12) to base 2
-111101010000000001110
What is -54106 (base 8) in base 3?
-1010222222
What is -16958 (base 11) in base 9?
-35551
What is -100011001001011110 (base 2) in base 16?
-2325e
What is 6586155 (base 9) in base 5?
1401302014
What is 181332 (base 9) in base 6?
2225002
12413411 (base 5) to base 6
2345205
Convert -11521110 (base 8) to base 12.
-a21288
-310214204 (base 5) to base 7
-13454655
What is -1479132 (base 10) in base 16?
-1691dc
What is -111001110111100000 (base 2) in base 8?
-716740
What is 1443c9 (base 14) in base 3?
1022201122112
-333101103 (base 4) to base 15
-51bc0
Convert 130bc0 (base 13) to base 10.
458991
What is -124412011 (base 5) in base 15?
-c47c1
Convert -3705 (base 10) to base 4.
-321321
What is 53a427 (base 13) in base 7?
22462234
What is -111001101001110001011 (base 2) in base 11?
-10803a1
-802051 (base 14) to base 5
-2100330101
Convert 1187746 (base 10) to base 11.
74140a
What is -21012010022200 (base 3) in base 5?
-1434232143
What is 7168721 (base 9) in base 2?
1110100101110100011000
-147177 (base 8) to base 5
-3142423
3013422 (base 6) to base 9
235785
-10110010011011 (base 3) to base 10
-1832818
1c1700 (base 14) to base 15
14c272
Convert 513865 (base 11) to base 5.
202344203
What is 1010000101101010000 (base 2) in base 10?
330576
-11023c (base 15) to base 7
-6613665
What is 8b31 (base 12) in base 6?
155301
What is 24bd2 (base 15) in base 8?
345256
Convert 1424004 (base 7) to base 5.
22103210
What is b734a8 (base 12) in base 13?
7a17b8
Convert 353102 (base 7) to base 16.
f812
-72ca5 (base 15) to base 7
-3044111
6a677 (base 14) to base 9
434518
Convert -1151209 (base 10) to base 13.
-313cb7
Convert 2233300001 (base 4) to base 6.
23232425
What is -a2405 (base 16) in base 15?
-d1da6
What is 35b48 (base 15) in base 4?
221310131
8b62c3 (base 13) to base 6
154405230
What is 1777177 (base 9) in base 13?
28b439
Convert 13335732 (base 8) to base 13.
80c2c8
What is -817b9b (base 12) in base 9?
-3726032
Convert 11100111000010000 (base 2) to base 13.
41ac1
-47768 (base 14) to base 13
-61476
21313112 (base 5) to base 11
114a51
Convert 3344250 (base 6) to base 11.
106342
What is 111012011121 (base 3) in base 14?
6a8a4
484cb (base 14) to base 9
288188
Convert -733850 (base 9) to base 8.
-1523302
What is 14cd5d (base 15) in base 14?
1c2576
2eceb (base 16) to base 9
321885
Convert -190a1a (base 14) to base 6.
-30551440
-5d3c4 (base 14) to base 5
-24303022
Convert -438966 (base 11) to base 6.
-23000240
What is 1654485 (base 11) in base 5?
1210120343
What is 64422221 (base 7) in base 5?
2401002213
What is 50056516 (base 7) in base 15?
569491
1724a (base 12) to base 5
2030203
What is -2315420 (base 6) in base 2?
-11101000110000100
dc683 (base 16) to base 10
902787
What is -324240141 (base 5) in base 15?
-1c999b
20431140 (base 6) to base 15
bb510
946904 (base 14) to base 16
4c7b58
What is -3142061 (base 7) in base 5?
-44130322
Convert 2102221120 (base 4) to base 11.
380319
What is -c12dbe (base 16) in base 6?
-1131203502
Convert -1e825 (base 15) to base 16.
-1857e
1668756 (base 10) to base 4
12113122110
What is -22621044 (base 7) in base 10?
-1988403
Convert 15b82b5 (base 13) to base 5.
3243444012
Convert -247042 (base 8) to base 13.
-2cc1b
What is 330242013 (base 5) in base 11?
887339
What is -1b1127 (base 12) in base 7?
-4033003
c53a (base 16) to base 5
3103430
Convert 853497 (base 11) to base 3.
2120102001212
-50110554 (base 6) to base 8
-5277706
Convert 3322110300 (base 4) to base 11.
640387
Convert -2021330131 (base 4) to base 8.
-2117435
a28c (base 16) to base 6
520352
What is -5227f3 (base 16) in base 5?
-2334243204
Convert 986bc6 (base 14) to base 16.
4ed5ca
11506264 (base 7) to base 8
3726545
7d7993 (base 15) to base 6
332331350
-17758ab (base 14) to base 6
-1052100515
What is 5185b (base 12) in base 7?
622610
-41212020 (base 6) to base 8
-4407714
Convert -2021221 (base 5) to base 8.
-77656
Convert -43385b (base 12) to base 14.
-1d9a3d
Convert 2020103 (base 10) to base 4.
13231030013
What is -2a6146a (base 11) in base 13?
-11177b1
Convert 22110110112021 (base 3) to base 5.
2122344412
45165a (base 11) to base 4
2233222223
What is 16da15 (base 16) in base 6?
52033233
What is 277177 (base 14) in base 16?
14d065
-120011100021201 (base 3) to base 10
-8057116
What is -12507145 (base 9) in base 7?
-103146206
-208419 (b | {
"pile_set_name": "DM Mathematics"
} |
p + 9. Determine g(8).
25
Let j(u) = -u**2 - 3*u + 244. What is j(-17)?
6
Let d(a) = -a**3 + 6*a**2 - 12*a + 7. Determine d(6).
-65
Let a(h) = h**3 + 11*h**2 + h - 13. Determine a(-11).
-24
Let v(a) = 5*a**2 + 70*a. Calculate v(-14).
0
Let d(t) = 19*t**3 + 3*t**2 - 2*t - 2. Give d(2).
158
Let v(m) = m**3 + 5*m**2 + 3*m - 2. What is v(-4)?
2
Let n(d) = 3*d - 13. Determine n(6).
5
Let a(o) = -o**2 - 19*o - 42. Calculate a(-17).
-8
Let t(w) = w + 10. What is t(-5)?
5
Let q(h) = -6*h + 208. Calculate q(33).
10
Let w(d) = d**3 - 17*d**2 - 19*d + 22. Give w(18).
4
Let m(j) = j**2 + 7*j - 6. What is m(-9)?
12
Let w(k) = 5*k**2 - 4*k + 2. Calculate w(1).
3
Let j(s) = -s**2 - 13*s - 13. Calculate j(-4).
23
Let p(h) = -3*h + 11. Determine p(9).
-16
Let k(w) = -w**3 - 4*w**2 + 12*w + 11. Calculate k(-6).
11
Let r(a) = a**2 - 8*a - 5. What is r(8)?
-5
Let r(c) = -6*c - 4. What is r(5)?
-34
Let l(m) = -m**2 + 16*m + 133. Give l(22).
1
Let w(p) = -p**3 + 14*p**2 - 24*p + 8. Determine w(12).
8
Let p(v) = v**2 - 9*v - 1. Determine p(9).
-1
Let q(b) = 2*b**3 - 6*b**2 + 8*b - 4. Give q(4).
60
Let h(s) = s**3 - 3*s**2 + 6*s - 4. Determine h(4).
36
Let g(i) = i**3 + 26*i**2 - 55*i + 21. What is g(-28)?
-7
Let s(l) = l**2 + 3*l + 4. Determine s(-3).
4
Let o(m) = m**2 - 23*m - 1. Determine o(12).
-133
Let u(n) = n - 38. What is u(11)?
-27
Let r(m) = m**2 - 5*m - 7. What is r(5)?
-7
Let x(d) = -d**3 + 10*d**2 + 11*d + 2. Calculate x(11).
2
Let v(z) = 2*z**3 - z**2 - 2*z + 1. What is v(0)?
1
Let s(u) = 38*u - 180. Calculate s(5).
10
Let y(v) = v**3 - 9*v**2 - 12*v + 22. Determine y(10).
2
Let x(i) = -i - 28. Determine x(-24).
-4
Let a(b) = -3*b - 4. Give a(-7).
17
Let q(d) = 17*d + 328. Give q(-19).
5
Let m(s) = s**3 - 20*s**2 - 8. Give m(20).
-8
Let n(h) = -25*h - 25. Determine n(-1).
0
Let p(f) = 5*f + 2. What is p(0)?
2
Let p(n) = -2*n**2 + 8*n - 8. What is p(4)?
-8
Let x(q) = q**3 + 16*q**2 - 17*q + 34. Give x(-17).
34
Let g(y) = 3*y**2 + 3*y + 1. What is g(-2)?
7
Let k(w) = -w**2 + w - 31. Determine k(0).
-31
Let m(d) = -11*d - 248. What is m(-22)?
-6
Let x(f) = f**3 + 11*f**2 + 18*f. Calculate x(-9).
0
Let x(p) = p - 7. What is x(-3)?
-10
Let x(w) = -w**2 + 201*w - 2439. Calculate x(13).
5
Let f(h) = -100*h + 696. Determine f(7).
-4
Let f(i) = 8*i + 6. Give f(-3).
-18
Let o(r) = -2*r**2 + r + 1. Determine o(2).
-5
Let a(y) = 16*y + 346. Give a(-22).
-6
Let m(t) = t**3 - 7*t**2 + 2*t - 7. Calculate m(7).
7
Let r(u) = u**2 - 25*u + 42. What is r(17)?
-94
Let x(p) = 6*p + 15. Give x(-10).
-45
Let k(i) = 44*i - 9. Determine k(1).
35
Let t(z) = 2*z**2 - 52*z + 81. Calculate t(24).
-15
Let j(k) = -k**3 - 10*k**2 - 8*k + 10. What is j(-9)?
1
Let q(c) = -c**3 + 10*c**2 - 4*c - 19. Give q(9).
26
Let h(u) = -u**3 - 8*u**2 + 7*u - 7. Give h(-8).
-63
Let s(a) = -7*a + 114. What is s(14)?
16
Let c(k) = 6*k - 15. Calculate c(3).
3
Let k(u) = u**2 + 22*u + 95. Calculate k(-15).
-10
Let m(o) = o**3 + o**2 - 4*o - 3. Give m(-3).
-9
Let b(p) = 2*p + 3. Calculate b(-3).
-3
Let t(x) = -x**3 + 7*x**2 + 3*x - 4. Determine t(7).
17
Let u(k) = -k - 10. Give u(-6).
-4
Let o(p) = -19*p - 12. Calculate o(6).
-126
Let p(h) = h + 17. Give p(-14).
3
Let t(f) = -8*f**2 - 2*f + 3. Determine t(-5).
-187
Let k(f) = 5*f + 8. Determine k(5).
33
Let p(k) = k**3 + 4*k**2 - 7*k + 3. Give p(-6).
-27
Let v(t) = 2*t**3 - 12*t**2 - 8*t + 32. Determine v(6).
-16
Let q(y) = y**3 - 3*y**2 - 7*y + 5. Give q(5).
20
Let j(u) = -u**3 + 8*u**2 - 11*u + 20. Give j(7).
-8
Let r(t) = 2*t + 10. Calculate r(0).
10
Let o(i) = 2*i**3 - 31*i**2 + 14*i - 4. Give o(15).
-19
Let d(k) = -3*k**2 - 4*k + 29. Determine d(-4).
-3
Let y(u) = -u**3 - 23*u**2 - 20*u + 22. Determine y(-22).
-22
Let k(j) = -j**2 - 11*j - 2. Determine k(-9).
16
Let q(d) = -d**3 - 6*d**2 + 5*d + 15. What is q(-5)?
-35
Let u(d) = d - 2. Determine u(-4).
-6
Let l(h) = -h - 5. What is l(-5)?
0
Let y(g) = 3*g**2 + 34*g - 14. Determine y(-13).
51
Let y(t) = t**3 - 7*t**2 - 10*t + 14. Calculate y(8).
-2
Let o(k) = -k**3 - 12*k**2 - 7*k + 36. Calculate o(-11).
-8
Let y(v) = v**3 + 4*v**2 + 5*v + 1. Determine y(-4).
-19
Let s(q) = 2*q**2 + 3*q. Give s(-2).
2
Let s(v) = -4*v**3 + v**2 - 2*v + 2. Calculate s(2).
-30
Let h(b) = b**2 - 6*b - 9. Determine h(8).
7
Let f(d) = -d**3 + 7*d**2 - 9*d + 13. Determine f(6).
-5
Let p(u) = -6*u**2 + u. Calculate p(-1).
-7
Let d(s) = -s**3 + 19*s**2 - 20*s + 20. What is d(18)?
-16
Let q(a) = 4*a + 3. What is q(-2)?
-5
Let l(r) = r**2 - 12*r + 19. Calculate l(7).
-16
Let c(f) = 3*f**2 + 12*f - 30. Determine c(-6).
6
Let r(u) = u**2 + 12*u + 25. Calculate r(-3).
-2
Let f(w) = w**2 + w + 4. Calculate f(3).
16
Let y(v) = v**3 - 7*v**2 + v + 22. Determine y(6).
-8
Let a(t) = -t**2 + 29*t + 210. Determine a(35).
0
Let j(k) = 29*k + 320. What is j(-11)?
1
Let s(q) = -q**2 + q + 4. What is s(-9)?
-86
Let o(m) = -2*m - 38. What is o(-7)?
-24
Let n(l) = 2*l - 3. What is n(-8)?
-19
Let t(i) = i**3 + 2*i**2 - i - 4. Calculate t(-2).
-2
Let g(u) = u**2 + 5*u - 15. Give g(3).
9
Let g(s) = 3*s**3 + s. Determine g(1).
4
Let q(p) = 4*p - 12. Calculate q(-4).
-28
Let d(a) = -7*a**2 + 69*a + 3. Give d(10).
-7
Let s(n) = -3*n + 5. What is s(-11)?
38
Let o(m) = -6*m**2 - 4*m + 3. Give o(2).
-29
Let o(z) = -2*z**2 + 3*z + 33. Determine o(-4).
-11
Let f(t) = t + 5. Determine f(-8).
-3
Let g(a) = a**2 - 12*a - 38. What is g(16)?
26
Let n(b) = 7*b - 160. Determine n(22).
-6
Let m(y) = 2*y**3 - 4*y**2 - 11*y + 27. Give m(4).
47
Let d(u) = -u + 5. Calculate d(13).
-8
Let j(g) = g**3 + 9*g**2 - 6*g + 8. What is j(-9)?
62
Let f(m) = -m**3 - 15*m**2 + 21*m + 7. Give f(-16).
-73
Let x(s) = -s**2 + 4*s + 62. Determine x(10).
2
Let a(v) = -v**3 + 8*v**2 - 2*v + 18. Calculate a(8).
2
Let c(n) = -n**3 + 4*n**2 + 13*n + 7. Calculate c(6).
13
Let i(q) = q**3 + 17*q**2 + 27*q - 36. What is i(-15)?
9
Let o(f) = f + 1. Give o(-4).
-3
Let m(j) = 2*j - 17. What is m(13)?
9
Let c(y) = -9*y**2 - 7*y + 5. Give c(2).
-45
Let f(y) = 2*y + 51. Calculate f(-23).
5
Let z(a) = 2*a**2 - 7*a - 6. What is z(0)?
-6
Let c(b) = -3*b**2 - 52*b + 30. Determine c(-18).
-6
Let k(n) = -4*n + 107. Determine k(16).
43
Let x(i) = i**3 - 11*i**2 + 8*i + 14. What is x(10)?
-6
Let g(r) = -4*r + 50. What is g(18)?
-22
Let m(w) = -7*w - 220. Calculate m(-33).
11
Let d(o) = -o - 26. What is d(-15)?
-11
Let k(y) = 9*y - 57. Calculate k(6).
-3
Let y(q) = 49*q**3 + 2*q**2 + 3*q + 2. Give y(-1).
-48
Let m(b) = -b**3 + 17*b**2 - 25*b + 107. What is m(16)?
-37
Let s(q) = 3*q - 97. Give s(25).
-22
Let l(o) = o**2 + o - 11. Give l(4).
9
Let o(t) = t**3 + t + 1. What is o(-1)?
-1
Let i(g) = 6*g + 42. Determine i(-6).
6
Let f(w) = -w**2 - 8*w - 15. Give f(-6).
-3
Let w(j) = -j + 29. Give w(14).
15
Let g(f) = 7*f - 64. Calculate g(9).
-1
Let c(v) = -v**3 + v**2 - 3*v - 11. Give c(0).
-11
Let k(f) = f**2 + 23*f + 8. Give k(-17).
-94
Let j(s) = -s + 27. Give j(8).
19
Let u(p) = -p**3 - 6*p**2 - 7*p - 5. Give u(-2).
-7
Let u(w) = w + 2. Give u(-8).
-6
Let u(z) = -z**3 + 2*z**2 + 61. What is u(0)?
61
Let u(p) = p**3 + 5*p**2 + 2*p + 12. Determine u(-5).
2
Let b(u) = u**2 + 9*u + 2. Calculate b(-9).
2
Let k(t) = -t**3 - 9*t**2 - 2*t - 2. Determine k(-9).
16
Let p(r) = 2*r**2 + 37*r + 132. What is p(-14)?
6
Let d(s) = 46*s - 19. What is d(3)?
119
Let a(w) = -67*w - 129. What is a(-2)?
5
Let z(l) = -l**3 - 4*l**2 + 11*l - 12. Calculate z(-6).
-6
Let w(x) = 3*x - 8. Give w(6).
10
Let l(f) = 19*f**3 - f. Calculate l(1).
18
Let y(b) = 2*b**2 + b. What is y(-1)?
1
Let a(t) = 15*t**3 + t**2 - 2*t - 1. Calculate a(-2).
-113
Let k(t) = 2*t**2 + 5*t + 3. Calculate k(-3).
6
Let o(r) = r**3 - r**2 - r - 1. Determine o(2).
1
Let x(o) = o**2 - 4*o - 2. Calculate x(3).
-5
Let c(w) = -w**2 - 26*w + 189. What is c(6)?
-3
Let n(v) = v**3 + 9*v**2 - 5. Determine n(-9).
-5
Let p(t) = -5*t - 83. Determine p(-14).
-13
Let w(c) = -2*c**3 - c**2 - 7*c - 6. What is w(-1)?
2
Let y(f) = f**3 - 4*f + 6. What is y(2)?
6
Let b(y) = 2*y**2 - 8*y + 4. Determine b(4).
4
Let j(t) = 2*t**2 - 2*t + 1. Determine j(-3).
25
Let j(l) = 5*l - 6. Give j(4).
14
Let d(x) = x**3 + 11*x**2 + 8*x - 16. Give d(-9).
74
Let w(v) = v**3 - 37*v**2 + 130*v + 52. Give w(33).
-14
Let g(v) = -v**2 - 3*v + 15. What is g(-5)?
5
Let f(w) = w**2 + 10*w + 15. Dete | {
"pile_set_name": "DM Mathematics"
} |
Let r(o) = -4*o**2 + 3180*o. Let m(j) = -834*j**2. Determine r(m(h)).
-2782224*h**4 - 2652120*h**2
Let w(l) = 613*l**2 - l - 29. Let t(r) = 296*r**2 - 14. Let o(x) = -29*t(x) + 14*w(x). Let c(a) be the third derivative of -a**4/12 + a**2. Give c(o(n)).
4*n**2 + 28*n
Let c(j) be the third derivative of -j**4/12 - j**2. Let g(z) be the third derivative of -z**5/10 + 11*z**3/3 + 5145*z**2. Determine g(c(p)).
-24*p**2 + 22
Let w(o) = -16*o. Let h(j) be the first derivative of -529*j**2/2 + 3141. What is w(h(y))?
8464*y
Let x(o) = 2*o**2. Let i(g) = g**2 + 5*g - 4. Let k be i(-6). Let s = 2031 - 2029. Let m(a) = a - 7*a - k + s. Calculate x(m(h)).
72*h**2
Let g(j) = -7*j. Let s(q) = 2*q**2 - 19566*q. Determine g(s(n)).
-14*n**2 + 136962*n
Let k(l) = -3*l**2 - 870 + 870. Let a(u) = 3*u**2 - 5*u - 17. Let d be a(11). Let c(t) = -585*t + 296*t + d*t. What is c(k(i))?
-6*i**2
Let k(l) = -175*l + 372*l - 197*l + l**2. Let c(w) be the second derivative of -29*w**3/2 + 4*w. Determine k(c(a)).
7569*a**2
Let p(c) = 2*c**2. Let b(k) = -15697183*k + 1. Determine b(p(w)).
-31394366*w**2 + 1
Let c(u) = u**2. Suppose 0 = 6*i - 17*i + 176. Let o(s) = -32*s - s + 2 + i*s. Determine c(o(k)).
289*k**2 - 68*k + 4
Let u(b) = 37*b - 13. Let h be u(4). Suppose -4*f - h = -s, s - 140 = -0*s + 5*f. Let m(p) = 115 - s - 3*p. Let a(j) = -6*j. Give a(m(l)).
18*l
Let z(j) = -4*j**2. Let a(i) = -8013 + 8013 + 466*i. Determine a(z(f)).
-1864*f**2
Let r(a) be the first derivative of -a**4/6 - 27*a - 164. Let i(b) be the first derivative of r(b). Let j(v) = 16*v - 10. Calculate j(i(t)).
-32*t**2 - 10
Let o(f) = 103*f**2 + 109*f**2 - 176*f**2. Let c(i) = 3*i**2 + 7. Determine c(o(t)).
3888*t**4 + 7
Let y(z) = z**2 + 31. Let r(k) = -44*k + 16. Let b(n) = -8*n + 4. Let w(h) = 4*b(h) - r(h). Give y(w(s)).
144*s**2 + 31
Let k(g) = 3 - g**2 - 3. Suppose 139*n = 146*n + 42. Let b(s) = 2*s + 1. Let r(w) = -23*w - 11. Let z(x) = n*r(x) - 66*b(x). Give k(z(y)).
-36*y**2
Let m(f) = 8*f**2 + 10. Let x(u) = 88*u**2 - 18*u - 1. What is x(m(d))?
5632*d**4 + 13936*d**2 + 8619
Let m(v) = -214*v. Let z(t) = 33*t + 138. Let c(o) = 2*o + 8. Let u(f) = -69*c(f) + 4*z(f). What is m(u(k))?
1284*k
Let p(c) = -c. Let x(b) = 56415214*b - 1. Determine x(p(u)).
-56415214*u - 1
Let b(l) be the first derivative of l**2/2 + 1336. Let o(q) = 15*q**2 + 65*q + 2. Determine o(b(d)).
15*d**2 + 65*d + 2
Let p(v) = 8*v. Let h(s) be the second derivative of 0*s**2 - 7*s + 6 - 1/6*s**3. Determine p(h(l)).
-8*l
Suppose -5*c + 29 = 4*f, 5*f + c - 41 = f. Suppose p = 18 - f. Let v(n) = -14*n + p*n + 5*n. Let s(w) = -w. Give v(s(i)).
2*i
Let f(g) be the third derivative of -7*g**4/24 - 914*g**2. Let p(l) = -3*l + 16. Give f(p(z)).
21*z - 112
Let q(z) = 271*z + 2. Let l(p) = -2706*p - 21. Let r(f) = 2*l(f) + 21*q(f). Let v(y) = -8*y**2. What is v(r(u))?
-622728*u**2
Let v(y) = -1582*y. Let i(b) = -125*b + 118. What is v(i(n))?
197750*n - 186676
Let j(f) = -695693*f. Let v(h) = -215*h**2. Determine v(j(q)).
-104057581303535*q**2
Let j(h) = -24020*h. Let u(i) = 36*i + 30. Let o(w) = 58*w + 48. Let b(v) = -5*o(v) + 8*u(v). Give b(j(f)).
48040*f
Let l(o) = -4*o. Let d(k) = -k - 10 + 2 + 13. Let q be d(3). Let y(w) = 13*w**2 - 12*w**q - 9*w**2. What is y(l(x))?
-128*x**2
Let q(r) be the second derivative of 109*r + 0*r**3 + 0 + 0*r**2 + 5/2*r**4. Let i(m) = -3*m. Calculate i(q(s)).
-90*s**2
Let f(v) = 4*v**2. Suppose -6*i + 5*p = -4*i - 9, -4*p + 2 = 3*i. Let s(g) = 19*g**2 - g**2 + 4*g**i + 5*g**2 - 3*g**2. Determine f(s(o)).
2304*o**4
Let y(m) be the first derivative of 29*m**6/360 + 10*m**3 + 26. Let s(b) be the third derivative of y(b). Let r(g) = -7*g + 10*g - g. Calculate r(s(a)).
58*a**2
Let f(p) = -5*p**2 - 2*p - 4. Let x(h) = h + 2. Let z(o) = f(o) + 2*x(o). Let m(t) = -33*t**2 + 2. What is z(m(s))?
-5445*s**4 + 660*s**2 - 20
Let j(i) = -3*i**2 - 2*i**2 + 6*i**2. Let o(x) = 44507 - 133530 + 44508 + 44514 - 5*x. Determine o(j(h)).
-5*h**2 - 1
Let f(b) = 1840577*b + 2. Let v(i) = -2*i. What is f(v(x))?
-3681154*x + 2
Let h(x) = 101*x + 11. Let k(f) = -1194*f - 132. Let c(o) = 12*h(o) + k(o). Let r(p) = -p**2 + p**2 + 2*p**2. Calculate r(c(t)).
648*t**2
Let t(y) = 12*y. Let a(q) = -175 + 353 + 13*q - 178. Give a(t(b)).
156*b
Let d(c) = -4520665*c. Let j(m) = m**2. Calculate d(j(q)).
-4520665*q**2
Let c(s) = 348508*s**2. Let b(d) = -12*d. What is c(b(a))?
50185152*a**2
Let t(o) = 7*o**2 + 318*o. Let d(b) = 20*b**2 + 901*b. Let k(g) = -6*d(g) + 17*t(g). Let f(m) = -661*m. What is f(k(s))?
661*s**2
Let d(q) = -q + 8*q**2 + q. Let g(b) = 139 + 2*b - 139 + 3*b - 8*b**2. Let f(c) = c**2 - c. Let n(y) = 5*f(y) + g(y). Determine d(n(v)).
72*v**4
Let g(r) = -32 + 178*r - 98*r - 93*r. Let z(j) = 4*j + 12. Let o(v) = 3*g(v) + 8*z(v). Let n(i) = 2*i. Calculate o(n(h)).
-14*h
Let c(s) = 1277*s**2. Let u(p) = 2*p - 21. Let g(l) = -5*l + 49. Let f(k) = 3*g(k) + 7*u(k). Calculate c(f(b)).
1277*b**2
Let f(m) = 10*m**2. Let l(c) = c + 26665310. Determine l(f(s)).
10*s**2 + 26665310
Let p(g) = 11*g**2 - 9427227*g + 9427227*g + 0*g**2. Let d(i) = 156*i**2. Give p(d(u)).
267696*u**4
Let q(y) = y. Suppose 4*a - 5*v = 22, 2*a - 6*v - 12 = -3*v. Suppose -6 = -a*p + 3. Let u(d) = 4 - p + 11*d**2 - 1. Determine q(u(c)).
11*c**2
Suppose -a = -0*q + q - 625, 2*q - 1871 = -3*a. Let b(i) = -6*i**2 + 314*i + 307*i - a*i. Let g(f) = -14*f**2. Determine g(b(o)).
-504*o**4
Let w(a) = 6*a**2 + a - 90. Let z(y) = -27907*y. Give w(z(s)).
4672803894*s**2 - 27907*s - 90
Let x(i) = -2*i. Let w(d) = -48038612*d. Calculate w(x(a)).
96077224*a
Suppose -280*f = -282*f + 66. Let c(w) = -f + 12 + 14 + 15 + 5*w. Let o(p) be the first derivative of -p**3/3 + 2. Calculate o(c(i)).
-25*i**2 - 80*i - 64
Let a(k) = -18*k. Let j(y) = 16*y**2 - y + 3859. Calculate a(j(x)).
-288*x**2 + 18*x - 69462
Let m(v) = v**2 - 7. Let z(u) = 87*u + 45. Let k(g) = 12*g + 6. Let w(n) = -15*k(n) + 2*z(n). Give w(m(t)).
-6*t**2 + 42
Let x(z) be the first derivative of z**2 - 241. Let q(j) = 4 + 4 + 3*j - 17. Determine x(q(k)).
6*k - 18
Let c(b) = -4*b. Let k(v) = 2*v. Let x(u) = -22*u. Let a = 393 - 437. Let d(i) = a*k(i) - 2*x(i). What is c(d(p))?
176*p
Let x(q) = 3*q - 3*q + 34*q + 54*q - 77. Let d(z) = 7*z - 6. Let a(c) = -77*d(c) + 6*x(c). Let i(k) = k - k + 3*k. Determine a(i(w)).
-33*w
Let p(c) = 3*c + 4*c + 11*c. Let f(t) be the first derivative of -t**5/30 + 289*t**2/2 + 55. Let h(d) be the second derivative of f(d). Determine p(h(z)).
-36*z**2
Let a(f) = f**2. Let w be (-10)/30 - (-4)/(-6). Let h be 10*w*(-1)/2. Let y(p) = -6*p + p + h*p + 7*p**2 - 3*p. What is a(y(c))?
49*c**4 - 42*c**3 + 9*c**2
Let t(v) be the second derivative of 1/3*v**3 + 7/6*v**4 + 0 - 180*v + 0*v**2. Let y(c) = 4*c. What is y(t(z))?
56*z**2 + 8*z
Let b(y) = 63*y + 2. Let h(n) be the first derivative of -26*n**2 - 3066. Give b(h(g)).
-3276*g + 2
Let j(c) = 4*c. Let f = -55 - -58. Let t(w) = -2*w + 9*w - 5*w - f*w. Calculate j(t(n)).
-4*n
Let v(f) = -56*f + 135*f - 40*f + f**2 - 39*f. Let l(i) = 1039*i. Calculate v(l(u)).
1079521*u**2
Let y(v) = 19532*v**2. Let u(x) = 5*x**2. Determine y(u(l)).
488300*l**4
Let b(k) be the first derivative of -1197*k**2 - 12078. Let c(i) = -6*i**2. Give c(b(z)).
-34387416*z**2
Let i(t) = -586124*t**2. Let x(y) = -7*y. Give i(x(g)).
-28720076*g**2
Let c(j) = 2*j**2. Let u(g) be the first derivative of 1286*g**3/3 + 4491. What is u(c(m))?
5144*m**4
Let l = 1/176 + 107/528. Let v(k) be the third derivative of -l*k**4 + 0*k**3 + 0 + 6*k**2 + 0*k. Let t(p) = -11*p**2. What is t(v(s))?
-275*s**2
Let t(u) = -920*u. Let k(w) = 4*w**2 - 11*w + 6. What is k(t(y))?
3385600*y**2 + 10120*y + 6
Let q(i) be the third derivative of -i**6/36 - 31*i**3/3 + 66*i**2. Let o(n) be the first derivative of q(n). Let v(h) = -2*h**2. Determine o(v(a)).
-40*a**4
Let o(t) = t**2. Let x(v) = 160*v - 160243. What is x(o(n))?
160*n**2 - 160243
Let f(g) = -g**2. Let c = -239/68 - -64/17. Let x(d) be the second derivative of 0 + 0*d**2 + 4*d + 0*d**3 + c*d**4. Determine f(x(z)).
-9*z**4
Let r = -687 - -709. Let v(z) be the second derivative of 1/3*z**3 + r*z + 0 + 0*z**2. Let c(o) = -17*o. Determine c(v(w)).
-34*w
Let n(i) = 647 - 209 - 2*i**2 - 211 - 227. Let y(g) = 5*g - 389. Give y(n(q)).
-10*q**2 - 389
| {
"pile_set_name": "DM Mathematics"
} |
at is the value of (-18 - (-64 - -42)) + (-42)/11?
2/11
Calculate (-301 - -286) + -1 + 3.
-13
What is the value of -3*(5/(-4))/(45 + (-47985)/1064)?
-38
What is 2295/170*(-448)/(-432)?
14
What is ((-114)/10 + -1)/(36888/(-795) - -46)?
31
Evaluate (-4)/(28/63*54).
-1/6
What is the value of 6*(10 + (-6)/(-6))/(10 - 7)?
22
Evaluate (-1785)/3185 + (-39)/169*4/6.
-5/7
What is the value of (162/(-42))/(-1*(-12)/(-14))?
9/2
Calculate (150 + 10)/(-4)*(-12)/270.
16/9
Evaluate ((-2196)/(-2562))/(-1 - (-3)/(-21)).
-3/4
What is (52/13)/(2 - (800/(-36))/(-10))?
-18
(158/26 + (-11)/143)/(165/(-10))
-4/11
Evaluate ((-3)/27)/((4/(-24) - 0)*-2).
-1/3
2*(55/(-165) + (-26)/12)
-5
Calculate 10 - (630/9)/(-14).
15
Evaluate (-6)/(-33) + (-348)/(-22) + 282/94.
19
What is -13 - (42 + -28 + -32)?
5
Evaluate 4 - (-246*19/(-1482) + 4/(-26)).
1
What is the value of (52 - -49 - 108) + (-11 - 2 - -2)?
-18
129/110 - (-7*48/(-840))/(-4)
14/11
Calculate (-4 - -1 - 0)*702/(-936).
9/4
Evaluate ((-3)/30)/(4/24).
-3/5
Calculate (-16638)/12690 + (-18)/10.
-28/9
Calculate 4*((-1276)/(-580) + 27/(-10)).
-2
What is (1/182)/(13/(-7046)) + (0 - -3)?
2/91
What is (-17*36/(-918))/(4/(-9))?
-3/2
What is ((-38)/(-8) - 5)*24?
-6
Evaluate -2 + (858/(-44) - -26).
9/2
(84/18)/(28/(-126))
-21
Evaluate (42/15)/(6726/(-190) + 35).
-7
What is the value of -1*((-36)/(-20) - (-5)/(-50)*-2)?
-2
Calculate (3/2*(10/6 + 1))/6.
2/3
What is (-230)/138 - 1043/(-588)?
3/28
Calculate ((-2184)/192)/7*-8.
13
Evaluate 28/(-168) + 16/128.
-1/24
What is the value of ((-5141)/(-97) - 58) + 1*7*1?
2
What is ((-2)/(-5))/((-6)/(-211)) + (-808)/12120?
14
Evaluate 4526/32704*-28 + 1/(1/4).
1/8
What is 17 + 4*(-52)/16?
4
What is the value of (-68)/6 - (-1254)/(-1881)?
-12
3060/(-4620) - 36/(-63)
-1/11
Calculate (-6 - 39/(-6))/(-1 - 22/(-20)).
5
What is the value of (-18)/(-28)*(889/63 + -13)?
5/7
Calculate (124/(-310))/(18/120).
-8/3
Calculate 10 - ((-21)/12)/7 - 18/(-24).
11
What is the value of (26/(-416))/((2/(-1))/20)?
5/8
24/30*-5*11/(-22) + 13
15
What is the value of -11 + 3 - (6 + 2 + -8)?
-8
Calculate (-11)/(-66)*44/(-77).
-2/21
((-16)/(-44))/2 - ((-24)/(-297))/(-2)
2/9
-16 - (21 - 430/15)
-25/3
Calculate (-70)/(-25)*(-40)/196.
-4/7
Calculate -3 + (-33)/(-11) + (-8)/1.
-8
Evaluate (160/56)/(12/4 - (-57)/(-21)).
10
Calculate (((-70)/21)/(-10))/((-287)/(-36) + -8).
-12
Evaluate 8/1 + (-105)/(-7) + -8.
15
What is 165/(-44)*30/(-1125)?
1/10
What is (5/9)/(-25*(-22)/(-1320))?
-4/3
Calculate 12/(-9)*(19 - 22442/2044 - 8).
-2/73
What is 5*(-31)/(271 + -23)?
-5/8
What is (4/14)/(66/(-42))?
-2/11
Calculate (9 - (-10 - -5))/((-7)/(-7)*1).
14
Evaluate -22 + -16 - (-82 + 6).
38
What is (-4830)/(-299) - (-8)/(-52)?
16
What is 4 + (-17 - (9 + -28))?
6
What is ((-6)/(-10))/(310/50 - 6)?
3
((-6)/8)/(50*(-22)/(-26400))
-18
Evaluate (-33)/((-4092)/(-310))*(-5)/((-50)/(-36)).
9
What is the value of -6*((-360)/(-126))/(-20)?
6/7
Calculate ((16/3)/(-2))/(16 + 888/(-54)).
6
What is ((-872)/80 + 11)*-12*-10?
12
What is -10 - -5 - -9 - (259/56 - 0)?
-5/8
What is the value of (124 + -125)*(24/(-2) - 2)?
14
What is (6/10)/(26 + -23)?
1/5
What is (2/11 + (-8667)/2354)*4?
-14
What is the value of 389/110 - (-30)/(-825)?
7/2
What is (-24)/444 - 35967/(-2109)?
17
Calculate ((-3)/(1 + (-14)/8))/((-6)/(-1)).
2/3
Calculate 9/(-6)*(2 + ((-168)/20 - -6)).
3/5
Evaluate 8/26*287/(-1722).
-2/39
What is (-110)/(-12) - -10*1/(-60)?
9
What is (308/(-693))/((-8)/(-3))?
-1/6
What is 5 + 14 - (6/39 + (-82)/26)?
22
What is 15 + -4 + 196/(-21)?
5/3
What is the value of 5*(-23 + (-374)/(-17))?
-5
What is (-1 - 4/(-6))*103/((-29870)/2262)?
13/5
What is the value of (3/6)/(11 - ((-1325)/(-60) - 11))?
-6
153/15*(-2 - 44/(-12))
17
Calculate (1/2)/(2/20)*66/(-110).
-3
What is the value of (-5 + 1096/216)/(6 + 152/(-24))?
-2/9
Evaluate -6 - (9/90)/(240/(-14250)).
-1/16
Evaluate 5880/2156*(0 + (-4)/10).
-12/11
Calculate (-10780)/10890 + ((-36)/(-22))/3.
-4/9
Calculate 45/(-240)*24*(-4)/(-14).
-9/7
(58/18 - (-50 + 56))*(-15)/25
5/3
What is the value of ((-364)/(-130))/((-3)/(360/(-28)))?
12
What is 898/(-31) + 153 + -124?
1/31
Evaluate 2 + 11 - -40*(-48)/128.
-2
What is the value of 9744/9135*(-9)/(-12)?
4/5
Calculate -5*(202/(-90) - (-44)/99).
9
What is 3 + -23 - 21/(51/(-17))?
-13
-42*(494/76)/(-13)
21
What is ((2/8)/((-55)/132))/((-21)/(-210))?
-6
Evaluate 445 - 451 - (3 - 78/8).
3/4
-10 + (3 - 3) + (-4 - -17)
3
(-9)/(45/(-2))*7055/166
17
Calculate (-2)/(-6) + (-11)/((-1452)/55).
3/4
What is (-94)/(-4) - ((87 - 52) + -20)?
17/2
(3 + 1 - 6)/((-46)/(-391) + 0)
-17
What is (432/(-126))/8 + 128/(-28)?
-5
Evaluate (-1)/(-3) - (-24650)/(-2175).
-11
Calculate 198/(-110)*(-5 + 0) - 0/6.
9
(-100)/150*(-3)/2 - (-2)/(-4)
1/2
What is (8/(-9))/4 - (-26)/39?
4/9
(-106)/18 - ((-330)/135)/(-22)
-6
What is 3 - -9*(-10)/(-45)?
5
2/7*(-135)/270
-1/7
Calculate (-2 - 5) + 0/(-7)*(0 + -1).
-7
Calculate (5/15)/(200/13800).
23
Evaluate 55/2*1580/(-1975).
-22
Calculate 7/((-294)/744) - (-76)/(-266).
-18
What is (-6)/(-4)*(-4)/(-3)*671/2013?
2/3
(-36)/(40/((-880)/99))
8
Evaluate (-165)/(-483) + (-328)/(-1656) + 7/(-63).
3/7
What is the value of ((-1211)/(-49) + -24)/(12/(-14))?
-5/6
(2432/112)/19 - (3 - 5)/(-2)
1/7
(-540)/360*2/(16/(-6))*8
9
What is 39/((-819)/(-30)) + 44/(-77)?
6/7
Evaluate (-3810)/635*14/(-4).
21
Evaluate -4*(-10 + 5 - -2)/2.
6
Evaluate 20/(-6)*50/((-3400)/306).
15
(-102)/16 - 201/(-536)
-6
Calculate 296/(-28) + (-22 + 26 - -7).
3/7
What is the value of (-143)/286 - (2 + 90/(-4))?
20
What is ((-20)/8 - 358/(-140))/(1/(-15))?
-6/7
What is ((-79)/27 - 1) + 7/(14/8)?
2/27
What is -5 - (180/9 - 28)?
3
Calculate 11/((-88)/188) - (-66)/12.
-18
What is ((-1836)/(-120) - 7) + (2 + -6)*2?
3/10
What is -17 - 20 - -18 - -15?
-4
Calculate 5/((-7)/7) - (-64)/14.
-3/7
What is (-845)/35 + 8 - 10/(-70)?
-16
(-4)/(26/(-195)*(4 - 2))
15
Evaluate ((-42)/1)/3 + (-25 - -7) + 9.
-23
What is the value of (8/(-3) - 195/(-117)) + -1 + -3?
-5
7 - 396/55 - 510/(-2050)
2/41
Calculate (-2263)/(-1387) - (156/18 + -7).
-2/57
What is the value of (-11)/(-693)*-21 + 3/(-9)?
-2/3
What is (4186/10010 - 4/(-22))/(2/2)?
3/5
What is ((-591)/(-99) - 6)*(-12)/(-4)?
-1/11
948/(-2054)*13/2
-3
((-2750)/(-2475))/(5/21)*-3
-14
Evaluate 5/(-45) + 414/81.
5
Evaluate ((-2)/(-3))/((-24)/396).
-11
What is the value of (-8398)/68*(-22)/143?
19
Evaluate (572/(-429))/((-1)/8) + (-4)/6.
10
What is ((-3)/(-68))/((-18)/(-156)) + (-2)/4?
-2/17
(-224)/(-3572) + 34/799
2/19
Evaluate -4 + 36/8*(-264)/(-99).
8
What is (55/(-275))/(8/(-10))?
1/4
What is (36/15)/(97/(-485))?
-12
0/(-756) + ((-68)/(-20) + -3)/4
1/10
What is 432 + -404 + 390/(-14)?
1/7
(2 + 117/(-54))/(-1)
1/6
12/(-4) + 8 + (0 - -14) + -7
12
(-895)/(-51) + (-12)/18 + -17
-2/17
Calculate (-5 - 2)*42/49 + (-35)/7.
-11
Evaluate (-2 + (-64)/(-14))*(-140)/100*1.
-18/5
What is 71/2059*(124/279 + (-14)/(-9))?
2/29
What is the value of 6 + (-330)/11*(-6)/(-15)?
-6
Evaluate (-17 + 1125/63)*(-1 + (-34)/(-6)).
4
((12/(-21))/(9*(-15)/(-945)))/18
-2/9
Evaluate (-30)/2*-9*(-11 + (-196)/(-18)).
-15
Calculate (-11)/(9 + -53)*-1*92.
-23
Calculate (-73)/(-291270)*76*-2*7/(-8).
1/30
Calculate 72*(-58)/2871*44/(-8).
8
Evaluate (-40)/38 - (143/(-209))/13.
-1
((-60)/(-5) + -10)*-2
-4
Calculate (21258/(-1638) - -13)/(2/7).
1/13
Evaluate (7/(-35))/(25/(-125)).
1
(-3 + 0 + 3)/((-16)/(-16)) + 10
10
What is (2/2*1)/((-7783)/(-430) - 18)?
10
What is the value of (-2)/((-31)/(1736/(-96))*-14)?
1/12
(130/10 - (-296)/(-24)) + (-80)/12
-6
What is the value of ((-4082)/(-195) + -21)*(-11 + 1)?
2/3
What is (-2)/(-4)*(10 + 0)/((-35)/(-224))?
32
What is (-172)/(-30) + -6 + (-3)/(-36)*-4?
-3/5
(4/22 + 23/(-138))*3
1/22
Calculate 92/115 - 202*(-3)/(-795).
2/53
Calculate -60*-13*(-36)/(-3510).
8
Calculate 14/(-10)*3/35*10.
-6/5
What is (1 - 6 - ((-770)/42 - -13))*-6?
-2
3/2*12/(-126)
-1/7
What is 1/7 - (-144)/(-126)?
-1
What is the value of ((-235)/(-60))/(-47)*9?
-3/4
Calculate 15 + 1 - 17*48/(-272).
19
What is the value of 156/(-7) - 109/(6867/(-18))?
-22
(-1)/(-27 + 21 + 0 + 55/9)
-9
What is 72/(-135)*(6 + -36)?
16
What is the value of (-52)/24*(-455)/(-845)?
-7/6
Evaluate (-35*3/20)/((-9)/2).
7/6
Calculate 1140/72 - 1472/92.
-1/6
What is (-4)/18 - ((-646)/153 - 3)?
7
Calculate 2/(-2)*360/1170.
-4 | {
"pile_set_name": "DM Mathematics"
} |
= -j*l. What is the units digit of 6/(-4)*l/(-18)?
1
What is the units digit of (-1635954)/(-50) - (33 + (-15637)/475)?
9
Let y = 23979 - 16056. What is the tens digit of y?
2
Let s = 27 - 25. Let v be (1 - 3)*(s - 15/10). What is the units digit of 17 - (v + 9/3)?
5
Suppose 3*z - 5*q - 72780 = 0, z + 21*q = 22*q + 24262. What is the hundreds digit of z?
2
Let q(k) = k**2 + 12*k + 15. Let z be 111/(-3) + (-6)/((-2)/1). What is the hundreds digit of q(z)?
7
Let j = -1918 - -354. Let w = 3093 + j. What is the hundreds digit of w?
5
Let s(t) = 7*t**2 + 13*t + 20. Let x be s(-9). Suppose 20*k - 250 = x. What is the tens digit of k?
3
Suppose -2*t - 4*j = -3*t + 91, -t + 89 = -2*j. Let m = 403 - 213. Let s = m - t. What is the hundreds digit of s?
1
Let f = 7362 + -4976. Suppose -h + f = 2153. What is the hundreds digit of h?
2
Let v = -131 - -131. Suppose -2429 = -5*n - 304. Suppose 0 = 3*x, 5*g + 3*x = -v*x + n. What is the units digit of g?
5
Let g be ((-42)/(-4))/7 + 3/2. Let u be (g - (-2 - -4))*(1 - -2). Suppose -m - u*m = -152. What is the tens digit of m?
3
Let m(j) = -j**3 + 15*j**2 + 3*j - 17. Let k(y) = -2*y**3 + 3*y**2 - 3*y + 3. Let s be k(2). Let w(o) = -o + 8. Let f be w(s). What is the tens digit of m(f)?
2
Suppose -23*w + 347496 = -21*w + 22*w. What is the thousands digit of w?
4
Suppose 0 = 87*u - 96*u + 6622 + 12332. What is the hundreds digit of u?
1
Suppose -1430 - 418 = -6*x. Let n = x - -1. What is the tens digit of n?
0
Let v(n) = 12*n**2 + 29*n - 40. What is the tens digit of v(7)?
5
Let o = 138 + -139. Let n be -16 + 17 + 1 + (0 - o). Suppose -5*f - n*f = -672. What is the units digit of f?
4
Suppose -6*u - 39 = 507. Let z = 233 - u. Suppose 2*k - z + 74 = 0. What is the tens digit of k?
2
Let v(g) = 11*g - 2. Let j be v(7). Suppose 0*m + m = 5*c - j, 61 = 4*c - m. What is the units digit of 1*4 + (c - -84)?
2
What is the tens digit of 5/((-325)/(-1747715)) + (-11)/(-143)?
8
Suppose -11*r - 22*r + 41613 = 0. Suppose 0 = s - 1, -3*s + r + 333 = g. What is the hundreds digit of g?
5
Suppose 53*o = -25*o + 53*o + 1513250. What is the thousands digit of o?
0
What is the hundreds digit of (-155 - -161)/((-14539)/(-7268) - 2)?
5
Suppose 11*s = 15*s + 5*p - 12734, -3*s = -4*p - 9566. What is the units digit of s?
6
Suppose -3*o = 2*d - d - 17, 4*d - 4*o = -12. Suppose -d*b - 250 = -3*b. What is the hundreds digit of (7 - (-2 + 6)) + b/2?
1
Suppose -2*y - 9049 = 2*m - 49857, 2*m - 102038 = -5*y. What is the units digit of y?
0
Suppose 0*v + 4*v - 8 = 0, 5*v + 5 = 5*m. Suppose -4*u + 2*r + 1828 - 118 = 0, m*r = -4*u + 1735. What is the tens digit of u?
3
Let m be (1 - 0)*196*210/56. Suppose 1291 + m = 2*q. What is the tens digit of q?
1
Suppose 0 = 8*m - r - 15649 - 19852, -4*m + 17764 = 4*r. What is the tens digit of m?
3
Suppose -o = -2, -3*n + 1160 = -0*n + 4*o. Let z = 626 - n. Let y = z - 101. What is the hundreds digit of y?
1
Suppose 3*j = -3*j - 2*j. Suppose -6*p = -2*p - j*p. Suppose -m - 5 = p, -3*m + 0*m = -5*s + 420. What is the tens digit of s?
8
Let w = 25369 + -16666. What is the units digit of w?
3
Let a = -109 - -73. Let y = 81 - a. Suppose 4*j - y - 215 = 0. What is the tens digit of j?
8
Let g = -12272 + 17595. What is the hundreds digit of g?
3
Let b = -745 + 377. Let y be (-18)/(-1) + 0/2. What is the tens digit of b/6*y/(-8)?
3
Let h = 12939 + -6501. What is the thousands digit of h?
6
Let d(q) = 3*q - 5*q - 26 - 5*q. Let l be d(-6). Suppose -3*r + 2 = -l. What is the units digit of r?
6
Let h = -13 + 17. Suppose 3*b = w - 0*b - 17, 47 = h*w - 5*b. Let o = w + 17. What is the tens digit of o?
2
Let x(s) = s**3 + 23*s - 5 + 27*s - 57*s + 7*s**2. Suppose l - 4*o = -8, o - 3 = -2*l - 10. What is the tens digit of x(l)?
7
Let y = -126 - -160. Suppose -37*d + 1470 = -y*d. What is the hundreds digit of d?
4
What is the units digit of 3 + ((-2)/(52/(-12389)))/(2/52)?
2
Let k(l) = 1045*l + 40. Let i be k(4). Suppose 6*j + i = 16*j. What is the units digit of j?
2
Let z = -10 - -6. Let o(c) = -16*c - 11. Let t(w) = 48*w + 34. Let m(l) = 7*o(l) + 2*t(l). What is the tens digit of m(z)?
5
Suppose 2*j + 2*p = -p + 26, -4*j + p + 24 = 0. Let y(z) = -z**3 + 14*z**2 + 11*z - 49. What is the tens digit of y(j)?
7
Let s = -7854 - -11642. What is the units digit of s?
8
Suppose -11 + 21 = 2*r. Suppose 2*h + 121 = 3*x - 1095, 2*x = -r*h + 779. What is the hundreds digit of x?
4
Let i be ((-24)/(-15))/4*5. Suppose -5*c + 902 = -3*j, -285 = -5*c - i*j + 622. What is the tens digit of c?
8
Let w = 2167 - 417. Suppose 75*o + w = 82*o. What is the units digit of o?
0
Let b(c) = c**2 - 9*c + 9. Let q be b(8). Let g(l) = 7*l**2 - 1. Let u be g(q). What is the tens digit of 77 - u/3*1?
7
Let o be 1 - 6/((-18)/15). Let b = o + -4. Suppose 5*j = -2*z + 245, j + z = -b*z + 62. What is the units digit of j?
7
Let l(i) = 2*i + 14. Let h be l(9). Suppose -68 + 26 = 7*n. What is the units digit of 333/n*h/(-12)?
8
Suppose 18*l - 598 = 2606. Suppose 10*m - 16008 = -l. What is the hundreds digit of m?
5
What is the units digit of 4919 + (-15 + 8)*1 - 3?
9
Suppose -5*w + 47595 = 5*p - 18575, 39750 = 3*w - 5*p. What is the hundreds digit of w?
2
What is the thousands digit of -168579*(2288/144 - 16)?
8
Let z(u) = -11156*u + 108. What is the tens digit of z(-2)?
2
Suppose -2777*a + 2785*a = 24520. What is the thousands digit of a?
3
Let o be 20/90 + ((-3956)/(-18) - 0). What is the hundreds digit of (0 - (-8)/16)*o?
1
Suppose 0 = -3*m - 3*l + 61536, 0 = -3*m - 4*l + 30504 + 31031. Suppose -m - 39371 = -44*t. What is the hundreds digit of t?
3
Let b(f) = 1178*f - 644. What is the units digit of b(13)?
0
Suppose 0 = a - 3, 45 = w - 8*a + 6*a. Suppose 0 = -3*n - 4 - 2, 0 = h - 5*n - 75. Let b = h - w. What is the units digit of b?
4
Let t = 60 - -4. Suppose 0 = -3*j - 4*f - 8 + t, 0 = 5*j + 5*f - 90. What is the tens digit of 276/j - 1/4?
1
Let z = 87 - 40. Let c = z + -53. What is the units digit of (c/2)/((-15)/710)?
2
Let c(b) = -8*b + 2. Let q be (-4 - -3)*(-15 - 2). Let j(t) = -t**2 + 18*t - 25. Let r be j(q). What is the tens digit of c(r)?
6
Suppose -3*n + 3679 = i, -4*n = 3*i - 6*n - 11048. Suppose 3683 = 5*d + 9*y - 11*y, -5*d = -3*y - i. What is the hundreds digit of d?
7
Let l(s) = 9*s**2 + 4*s + 1. Let j be l(-3). Suppose 2*x + 7*b = 12*b - 8, 2*b = 5*x + 41. Let z = j + x. What is the tens digit of z?
6
Suppose 167*i - 10521923 = -1220023. What is the ten thousands digit of i?
5
Let p be -2 - 7/(35/100). Let l be 138/(-33) - 4/p. What is the tens digit of 4 + 111 + l + -2?
0
Let t(o) = 3*o + 46. Let c be t(-15). Suppose 5*v - a + 6*a = 5, 4*a = -3*v - c. Suppose l + v = 0, l = i - 38 - 48. What is the tens digit of i?
8
Suppose -4*c = 5*h - 11488, 4*h + 236*c = 233*c + 9191. What is the hundreds digit of h?
3
Let q = -3371 - -10418. What is the thousands digit of q?
7
Suppose -14 = d - 1. Let l(x) = x + 18. Let i be l(d). Suppose i*a + 67 = 277. What is the tens digit of a?
4
Suppose -16*i = -24*i. Suppose 154*j - 156*j + 398 = i. What is the units digit of j?
9
Let r be ((-400)/(-15))/(3/612). Suppose -25*y + r = -2235. What is the units digit of y?
7
Let u = -82687 - -123964. What is the thousands digit of u?
1
Let b = 6111 + -3225. Suppose 5*z = -34*z + b. What is the units digit of z?
4
Let z be (-2)/6*(-84 + 6). Let r = -23 + z. Suppose y = c - 171, r*c + y = c + 357. What is the units digit of c?
6
Let x be -3*(3 - 2) - -2103. Suppose -8*l = -l - x. Suppose 4*i - l = -2*o, -2*i = -i + 2. What is the units digit of o?
4
Let g(l) = -39*l**2 + 2*l + 42*l**2 - 2*l - 5*l - 7. Let b be g(-2). Suppose -b*c + 730 = -10*c. What is the units digit of c?
6
Suppose 0 = 315*u - 313*u - 4, -q + 4*u = -9287. What is the tens digit of q?
9
Let n(v) = 3*v**2 + 2*v - 6. Let x be ((-8)/20)/((-3)/30). Suppose -x*p - 8 = 12. What is the tens digit of n(p)?
5
Let g = 979 + -659. What is the units digit of (-16)/(g/(-13628)) + (-3)/(-5)?
2
Let z(w) = 9*w**2 + 43*w + 34. Let u(t) = 12*t**2 + 43*t + 34. Let g(a) = -4*u(a) + 5*z(a). What is the units digit of g(14)?
8
Suppose -4*p + 1136 = -1529*m + 1532*m, 2*m - 3*p = 729. Let b = 227 - 421. Let f = m + b. What is the hundreds digit of f?
1
Let n(u) = 2*u**2 - 22*u + 14. Let b(x) = 3*x - 3. Let h be b | {
"pile_set_name": "DM Mathematics"
} |
?
12164280
What is the smallest common multiple of 10 and 3461614?
17308070
Calculate the lowest common multiple of 192058 and 1271812.
1120466372
Calculate the common denominator of -31/1902 and -33/357893.
2147358
What is the common denominator of 1/33 and 101/3036156?
33397716
Calculate the lowest common multiple of 6525 and 989190.
4945950
What is the lowest common multiple of 2111170 and 69322?
23222870
What is the common denominator of -191/2340 and -161/8283990?
49703940
Calculate the lowest common multiple of 20760 and 53208.
46024920
Calculate the smallest common multiple of 17920 and 968640.
54243840
Calculate the least common multiple of 10714553 and 235637.
182147401
What is the smallest common multiple of 312 and 907888?
35407632
Calculate the lowest common multiple of 3770961 and 562830.
37709610
What is the common denominator of -58/99 and -65/56401983?
56401983
Calculate the common denominator of 68/3591393 and -62/21.
25139751
What is the lowest common multiple of 1722108338 and 3?
5166325014
Find the common denominator of -53/55317152 and 37/20.
276585760
What is the common denominator of -49/10 and -89/123417464?
617087320
Calculate the common denominator of 139/31293570 and -101/556605.
281642130
Find the common denominator of 169/1689864 and 43/1968.
138568848
What is the least common multiple of 3 and 35582176?
106746528
What is the least common multiple of 160234522 and 2?
160234522
Calculate the common denominator of 8/91482063 and -23/24.
731856504
Find the common denominator of -17/12760 and 17/1160203.
46408120
Calculate the common denominator of 43/1520 and 19/630360.
23953680
What is the smallest common multiple of 2046160 and 511540?
2046160
What is the lowest common multiple of 5488119 and 234?
10976238
What is the smallest common multiple of 12850119 and 414?
591105474
What is the least common multiple of 104346294 and 684442?
1147809234
What is the least common multiple of 106962 and 30?
534810
Calculate the smallest common multiple of 70938 and 993132.
993132
Find the common denominator of -37/42555 and -95/221286.
1106430
What is the smallest common multiple of 8 and 1972835?
15782680
Find the common denominator of -23/30337480 and -77/447477830.
1789911320
Calculate the least common multiple of 8418892 and 16837784.
16837784
Calculate the common denominator of -27/7187860 and -17/1696.
57502880
Find the common denominator of -40/6401 and -37/13814742.
511145454
Calculate the common denominator of 15/318413 and -40/199.
63364187
Calculate the common denominator of -22/135 and -19/10023420.
90210780
Find the common denominator of -133/65040 and -23/65620.
213396240
What is the least common multiple of 1077010 and 460?
49542460
Calculate the common denominator of -133/912588 and -107/738.
112248324
Calculate the common denominator of 43/168 and -173/24367728.
24367728
Calculate the common denominator of -83/75872 and -25/14854.
563501344
Find the common denominator of -111/30588160 and 107/322.
214117120
Calculate the smallest common multiple of 7203 and 398419.
58567593
What is the smallest common multiple of 138 and 319654?
958962
Calculate the common denominator of 13/6866 and 13/514950.
514950
What is the lowest common multiple of 2826355 and 2?
5652710
Find the common denominator of -12/20578351 and 27/102891755.
102891755
Find the common denominator of 43/13711236 and -10/2079.
123401124
What is the common denominator of -103/152524 and -31/3944?
8846392
What is the lowest common multiple of 780735 and 6789?
780735
Calculate the common denominator of 41/27 and 119/20821950.
62465850
What is the smallest common multiple of 30 and 1381995?
2763990
What is the common denominator of 107/2798724 and -95/12573372?
842415924
What is the lowest common multiple of 22 and 5030038?
55330418
What is the least common multiple of 112515 and 24986?
216253830
What is the smallest common multiple of 1693536 and 14927?
18628896
Find the common denominator of 101/364240 and -13/5922040.
343478320
Calculate the lowest common multiple of 649 and 69938.
4126342
Calculate the smallest common multiple of 836 and 1027539.
45211716
What is the lowest common multiple of 14035184 and 112?
98246288
Calculate the smallest common multiple of 120208 and 360624.
360624
Find the common denominator of -25/28 and -85/247448.
1732136
Calculate the lowest common multiple of 235675760 and 272.
235675760
Calculate the lowest common multiple of 8176 and 1210048.
1210048
What is the smallest common multiple of 1570131 and 129099660?
1161896940
What is the least common multiple of 21193084 and 33616616?
974881864
What is the common denominator of -56/38403 and -29/5020?
768060
What is the common denominator of 109/114576 and 29/10416?
114576
Find the common denominator of 103/498420 and 28/14697.
11463660
What is the lowest common multiple of 120 and 204222?
4084440
What is the least common multiple of 6272 and 3353700?
751228800
What is the least common multiple of 1883782 and 227353?
13186474
What is the common denominator of -115/1429974 and 107/84?
2859948
What is the common denominator of -155/20202 and -101/586894?
22888866
Find the common denominator of 55/505174 and 139/1515522.
1515522
Calculate the smallest common multiple of 739612 and 1.
739612
Calculate the lowest common multiple of 6600 and 352.
26400
Find the common denominator of -71/4386144 and -31/3416.
4386144
Calculate the lowest common multiple of 6400 and 14545600.
58182400
What is the common denominator of 113/16276878 and -79/24912?
130215024
What is the lowest common multiple of 82971 and 119259?
52354701
What is the common denominator of 25/11 and 27/57228524?
629513764
What is the lowest common multiple of 324800 and 4725?
8769600
Calculate the lowest common multiple of 510 and 9257900.
472152900
What is the common denominator of -45/3535664 and 7/93534384?
1028878224
What is the common denominator of -73/428032 and 51/446336?
135686144
Calculate the common denominator of 101/10462158 and 18/35.
52310790
Find the common denominator of -53/1737616 and 19/62119772.
248479088
Calculate the smallest common multiple of 9 and 6918057.
6918057
Calculate the least common multiple of 785550 and 1036926.
25923150
Calculate the common denominator of -23/6 and 83/13450374.
13450374
Calculate the common denominator of 151/1442442 and -89/228.
2884884
Calculate the smallest common multiple of 2141516 and 924.
494690196
Calculate the least common multiple of 458556 and 294786.
4127004
Calculate the common denominator of -33/25744 and -61/90400056.
180800112
What is the least common multiple of 13746 and 2481864?
71974056
Calculate the common denominator of 36/229673 and 67/6.
1378038
Calculate the lowest common multiple of 6231 and 115204.
717836124
What is the least common multiple of 16949643 and 299443693?
898331079
What is the least common multiple of 6252 and 9775002?
19550004
Find the common denominator of -57/99382 and 55/551633.
87158014
Find the common denominator of 109/174 and 21/4648180.
404391660
Calculate the common denominator of 25/9 and -89/19944792.
19944792
Find the common denominator of -58/237741 and -70/40382007.
282674049
What is the common denominator of 18/86518447 and 22/7?
605629129
Calculate the common denominator of 59/828252 and -109/540.
4141260
Find the common denominator of -33/917 and 85/1231138.
8617966
What is the common denominator of 17/1790 and 64/50545?
18095110
Calculate the least common multiple of 67488 and 43956.
6681312
Calculate the least common multiple of 15486 and 232.
61944
Find the common denominator of -63/51080 and -9/3856540.
7713080
What is the smallest common multiple of 351870 and 48174?
76355790
Calculate the smallest common multiple of 37352160 and 24901440.
74704320
Calculate the common denominator of -179/288240 and -27/653344.
9800160
Calculate the lowest common multiple of 25452 and 63717264.
446020848
Calculate the least common multiple of 2275 and 27525.
2504775
What is the common denominator of -21/964 and -81/5146012?
1240188892
Find the common denominator of -26/58107 and 131/11214.
31029138
What is the smallest common multiple of 38 and 111900240?
2126104560
Calculate the smallest common multiple of 2756204 and 8 | {
"pile_set_name": "DM Mathematics"
} |
k**2. Let n(c) be the second derivative of r(c). Determine n(5).
4
Let u(m) = m**3 + 3*m**2 - 3. Let o(j) = j**3 + 4*j**2 + j - 3. Let h(x) = 3*o(x) - 4*u(x). Let d be (24/60 - (-6)/10) + -3. Give h(d).
5
Let c be (-1)/2*(-10)/(-1). Let k(l) = -3*l - 7. Let z be k(c). Let q = 13 - z. Let b(g) = -g**2 + 6*g - 3. Determine b(q).
2
Let w(b) = -107 + 4*b + 56 + 54. What is w(-3)?
-9
Let f = -3 + 6. Let g(n) = 4*n**2 - n**2 + 4*n**3 - 2*n**f + 3 - n - n**3. Calculate g(-3).
6
Let t(p) = -2*p + 6. Let g(s) = s**2 + 5*s - 9. Let n be g(-7). What is t(n)?
-4
Let k(r) = -r**2 - r + 4. Suppose 0*n - 2*q + 2 = -2*n, -4*q = -n + 5. What is k(n)?
-2
Let j(k) be the second derivative of k**3/6 - 2*k**2 + 24*k. Determine j(6).
2
Let j be (4/960*2)/1. Let p(k) be the third derivative of 0*k + 0 + 1/30*k**5 + k**2 + j*k**6 - 5/24*k**4 - 1/2*k**3. Determine p(-3).
3
Let x(j) = -j**3 + 4*j**2 + 6*j + 2. Suppose 4 + 4 = 4*n. Suppose 62 - n = 4*h. Suppose 5*t - h = 2*t. Give x(t).
7
Let o(p) be the second derivative of p**3/2 - 2*p**2 - 8*p. Give o(5).
11
Let j = 16 + -11. Let d(m) = 4*m**3 + 7*m**2 + m - 4. Let o(z) = z**3 + z**2 - 1. Let i(q) = j*o(q) - d(q). Give i(3).
5
Suppose 0 = -8*l + 13 - 5. Let w(t) = -3*t**2 + t - 1. Give w(l).
-3
Let v(d) = -3*d + 110 - 106 + 5*d. Suppose 6*s - s + 2*x = 6, 2*x + 12 = 4*s. Let j = s + -5. Determine v(j).
-2
Suppose -43 = 3*a + 4*v - 9*v, 49 = -4*a + 5*v. Let i(w) = -w**3 - 7*w**2 - 4*w + 2. What is i(a)?
-10
Let v(l) = l**3 + 2*l**2 + 1. Let o be (-1)/(((-5)/60)/((-2)/8)). What is v(o)?
-8
Suppose -2*g + 2*n + 6 = 0, 3*g - 5*n - 9 = -4*n. Let x be (-2 - 2)*g/(-6). Let s(a) = a**2 + 2 + a + 3*a - a**3 - 5. What is s(x)?
1
Let f(x) be the first derivative of 1 - 1/2*x**2 + 3*x. Let z(u) = u + 2. Let t be z(-5). Calculate f(t).
6
Suppose 3*y - 4 + 1 = 0. Let z(h) = -5*h - 1. Calculate z(y).
-6
Let s(v) = -v**3 + 4*v**2 - 4*v + 3. Let x be s(3). Let i(t) be the second derivative of 1/4*t**4 + 1/6*t**3 + t + 1/20*t**5 + x + 1/2*t**2. Determine i(-3).
-2
Let m(v) be the third derivative of -v**6/360 - v**5/30 + v**4/8 + 7*v**3/6 - 2*v**2. Let n(r) be the first derivative of m(r). Give n(2).
-9
Let l(d) = -d**3 + 3*d**2 - 2. Let i = 15 - 12. Calculate l(i).
-2
Let j(c) = c**2 + 10 - 9 - 6*c + 11*c. Give j(-6).
7
Let u(o) = -o**3 - 5*o**2 - 3*o - 12. Suppose 0 = 12*b + 34 + 26. Give u(b).
3
Let d(u) = u**2 - 2*u + 1. Suppose r - 44 = 3*r. Let t = 50 + r. Let z be ((-1)/2)/((-7)/t). Calculate d(z).
1
Let r(f) = 2*f - 5*f**2 + 3*f + 6*f**2 + 6 + f. Let b = -17 - -12. Determine r(b).
1
Let r(d) = 2*d**2 - 2*d + 1. Let y(l) = 5 + 0*l**3 - 4*l + l**3 - 2 - 3*l**2. Let p be y(4). Suppose -4*z = -z - p. Calculate r(z).
1
Let x(g) = -4*g + 1 - g**2 - 8*g + 13*g. Calculate x(3).
-5
Suppose -6*k + 11*k = -10. Let p(u) = -u**2 - 6*u + 1. Let d(b) = b. Let z(y) = 6*d(y) + p(y). Give z(k).
-3
Let m(g) be the second derivative of -g**3 + 5*g. Give m(-1).
6
Let i(h) = h - 4. Let m = 0 + -5. Calculate i(m).
-9
Let s(o) = -3*o**3 - o**2 + o. Let f(x) = -x**3 + 6*x**2 + 5*x - 5. Let n be 4/6*(12 + -3). Let i be f(n). Let a be 4/10 - (-15)/i. Give s(a).
-3
Let y(j) = 2*j**3 + 8*j**2 - 10*j + 1. Let c be y(-5). Let m(w) = 4*w**2 + w. What is m(c)?
5
Let y = -9 - -11. Suppose y*h + h = -12. Let x(p) = p**3 + 5*p**2 + 4*p + 3. Determine x(h).
3
Let f be (1 - 1)/(5 - 9 - -3). Let v(g) be the first derivative of f*g**3 + 0*g - 4 - 1/4*g**4 - 1/2*g**2. What is v(1)?
-2
Let k(x) = -10*x - 16. Let y(u) = 2*u + 4 - 2 + 1. Let q(z) = -2*k(z) - 11*y(z). Let v = 58 + -60. Calculate q(v).
3
Let n(d) be the second derivative of -1/20*d**5 - 5/3*d**3 - 7/12*d**4 + 0 - 7/2*d**2 + 5*d. Determine n(-6).
17
Let i be (56/(-12))/((-4)/6). Let c = 7 - i. Let a(x) = -x + 1. Determine a(c).
1
Let t(q) be the second derivative of 2*q**3/3 + q**2 + 48*q. Calculate t(2).
10
Let l(r) = r - 5. Let n(z) = z + 0*z - 5 + z. Let v(x) = -3*l(x) + 2*n(x). Determine v(-4).
1
Suppose -5*t - 1 = 3*w, 0 = -3*t + w - 4*w + 3. Let u be -2 + 5 - (3 + t). Let g(h) = -h**3 + 4*h**2 - h - 2. What is g(u)?
4
Let h(x) = 3 - 5*x**2 + 3*x + 6*x**2 + 0*x**2. Suppose 5*l - 4*l = -5, -5*n + 4*l = -10. What is h(n)?
1
Let r(g) be the third derivative of -g**6/10 - g**5/30 + g**3/6 + 6*g**2. Determine r(-1).
11
Let q be (-52)/(-14) + (-4)/(-14). Let z(o) = -o**2 + q*o**3 - 3*o + o**2 + 4*o. Let n be ((-2)/(-1) - 3)*1. Calculate z(n).
-5
Let s(t) = 5*t - 6. Let y(k) = -14*k + 17. Let o(z) = 11*s(z) + 4*y(z). Give o(-5).
7
Let c(b) be the second derivative of -b**3/6 - b**2 - 3*b. Let l(y) = -y**2 + 4*y + 7. Suppose 0 = 4*w + w - 25. Let s be l(w). Calculate c(s).
-4
Let i be (-6)/4*4/(-2). Let d(q) be the second derivative of -q**4/12 + 2*q**3/3 - q**2/2 + 5*q. Let x be d(i). Let y(u) = 2*u**2 - u - 2. Determine y(x).
4
Let k(d) = d**3 + 0*d**2 + 6*d**2 + 2*d**3 - 5 - 2*d**3. Let r be k(-6). Let j(q) = -2*q - 1. What is j(r)?
9
Let m(d) = 2 - 2 - 2 + 3 - 4*d. Give m(-2).
9
Let o(t) = 2*t - 9. Let z be (4/10)/(1/15). Calculate o(z).
3
Let l(o) be the third derivative of o**5/60 - o**4/6 - o**3/6 + 2*o**2. What is l(3)?
-4
Let w(o) = 3*o**2 - 2*o - 1. Let f be (-5)/15 - (-56)/6. Let n be (0/(-2))/(f + -11). Let j be n/(6/2) - 1. Determine w(j).
4
Suppose 5*z - 3*p = -0*z + 39, 2*z - 26 = -4*p. Suppose 3*l + z + 9 = 0. Let x(m) = -m - 2. Give x(l).
4
Let g(b) = -1 + b**3 + b - 5*b**2 - 5*b + b**2. Let d(s) = s**3 + 10*s**2 + 7*s - 13. Let u be d(-9). What is g(u)?
4
Let d(z) = z + 3. Let p(l) = l**3 + 3*l**2 - 6*l - 4. Let a be p(-4). Suppose -a*c - 6 - 18 = 0. Calculate d(c).
-3
Let y(u) be the second derivative of -u**4/12 + u**3 + 43*u. Give y(5).
5
Suppose 2*j - 5*t - 5 = -4*t, -j - 2 = 4*t. Suppose -r + 2*c + 5 = 0, 2*r + 4*c = 5*c + 7. Let f(x) = 3*x**r + 3*x - 3*x**3 - x**3 - 2. Give f(j).
-4
Let d(g) = g. Let l = -111 - -103. Give d(l).
-8
Let w(v) = -v**3 + 5*v**2 + 5. Let a(u) be the second derivative of u**4/12 - 5*u**3/6 - u**2/2 + 2*u. Let z be a(6). Suppose 4*f + z = 25. What is w(f)?
5
Let t(c) = 3*c + 9. Let r = 113 + -117. Give t(r).
-3
Let a(i) be the first derivative of -i**4/4 + 4*i**3/3 + 5*i**2/2 + i - 7. Determine a(5).
1
Let q(s) be the first derivative of -s**4/2 - 4*s**3/3 - 2*s**2 - 2*s + 21. Let n = 7 - 9. Give q(n).
6
Let p(i) = i**2 - i - 1. Let o(y) = -y + 8. Let j(n) = -n**3 + n**2 - n + 1. Let c be j(1). Suppose c*w + 35 = 5*w. Let z be o(w). Calculate p(z).
-1
Suppose -79*q + 39 = -76*q. Let r(s) = -s**2 + 13*s + 6. What is r(q)?
6
Let k(l) = -l**3 + 3*l**2 + 5*l + 3. Let b be k(4). Let a(m) = -b - m + 6 - 3. Let p = 2 + -4. Determine a(p).
-2
Let v = -4 - -9. Suppose -4*x + 137 = 45. Let c be 4/(-10) - x/v. Let m(s) = s**3 + 4*s**2 - 6*s - 6. Give m(c).
-1
Let d(l) = -2*l + 37. Let g be d(16). Let b(t) be the third derivative of 1/120*t**6 + 1/24*t**4 - t**2 - 1/6*t**3 + 1/60*t**g + 0*t + 0. Give b(-2).
-7
Let v(w) = w**2 - 6*w + 2. Let d(m) = -4*m + 2 + 4 + 5*m**2 - m**3 - 1. Let n be (-7 - -1)/(6/(-4)). Let u be d(n). What is v(u)?
-3
Let d(j) = -8*j + 0 - 2 + 5 + j**2 + 2. Let t(m) = m**2 - 5*m - 8. Let o be t(7). What is d(o)?
-7
Let r(v) = v**3 - 7*v**2 - 8*v + 6. Let i be -5 + 3 + -1 + 11. What is r(i)?
6
Let w = 21 - 14. Let h = -3 + w. Suppose h = -2*p - 0*p. Let c(b) = -b**2 - 3*b - 3. What is c(p)?
-1
Suppose -t = -2*t + 4. Let j(q) = -t*q + 4 + 9*q - 3*q. What is j(-4)?
-4
Let k = 14 - 13. Let n(m) = -9*m + 1. What is n(k)?
-8
Suppose 2*n + 5 = 4*z - 3, 23 = 5*z + 4*n. Let f(i) = -2 + 3*i - 1 - i - i**2. Determine f(z).
-6
Suppose -3*a + 2 = -2*m + a, 3*a - 14 = -m. Let q(o) = -m*o**2 - 4 + 5 + 2*o + 0*o. Let y = 93 - 94. What is q(y)?
-6
Let z(m) = -1 - 3*m - 8*m + 3*m. Let s be (-2 - 8/(-12))*-3. Suppose -4 = -p - d - s*d, p = -4*d + 3. Give z(p).
7
Let x(c) = -5*c**3 - 7*c**2 + 8*c + 4. Let i(k) = -3*k**3 - 5*k**2 + 5*k + 3. Let j(g) = 8*i(g) - 5*x(g). Give j(5).
4
Let k(o) = o**3 - 3*o**2 - o - 1. Let q be (0 - -4)*(-1)/(-2). Suppose q*n - 3 = n. Give k(n).
-4
Let z(i) = -i**2 - i + 4. Let y(m) = m - 1. Let g(o) = 4*y(o) - z(o). Suppose 5*b - 3*c + 18 = -6*c, 0 = -4*b - c - 20. What is g(b)?
-2
Suppose -1 + 13 = 4*d. Let m(q) = -3 + 2*q**d + 2 + q**2 - 3*q**3. Suppose 7*a = 3*a + 4. Determine m(a).
-1
Let u(q) = -q**3 - 3*q**2 + 6*q + 5. Suppose -b | {
"pile_set_name": "DM Mathematics"
} |
3*j + 14 = 5*k - 0, -k = j - 6. Suppose -4*y - 8 = w, j*y + 26 = 6*w - w. What are the prime factors of w?
2
Suppose 179 - 87 = 4*j. List the prime factors of j.
23
Let b be (5 - 4)/(2/16). Let z = 16 - b. List the prime factors of z.
2
Let y(q) be the second derivative of -2*q + 7/2*q**2 - 3/2*q**3 - 1/12*q**4 + 0. What are the prime factors of y(-9)?
7
List the prime factors of -1*(-2)/(-2)*(-73 + 1).
2, 3
Let j(s) = -s**3 + 4*s**2 - s - 1. Let h be j(3). Let f(q) = -q**3 + q + 1. Let w(t) = 4*t**3 - 5*t. Let r(l) = h*f(l) + w(l). List the prime factors of r(0).
5
Suppose s - 3 = -5*v, -3*s + 2*s = -4*v - 21. Let p = -7 + s. What are the prime factors of p?
2, 3
Suppose 0*f - 360 = -3*i - 5*f, -3*i = 2*f - 360. What are the prime factors of i?
2, 3, 5
Let d(m) = -m**3 - 3*m**2 + 4*m + 2. Let u be d(-3). Suppose -17 - 15 = -2*i. Let b = i + u. What are the prime factors of b?
2, 3
Suppose 2*n = -4*g + 926, 1084 = 4*g - 4*n + 140. List the prime factors of g.
233
Suppose 0 = 2*h - 20 - 52. Let b be 1/(2/53)*2. Let g = b - h. List the prime factors of g.
17
Suppose 0 = -2*q - 2*r + 118, 147 = 3*q - 5*r + 2*r. What are the prime factors of q?
2, 3
Let i = -259 + 450. What are the prime factors of i?
191
Let t = 2 + -2. Suppose -2*d - 5*l - 13 = 0, -4*d + d + 4*l - 8 = t. What are the prime factors of (-6)/24 - 37/d?
3
Suppose -2*i + 5*t + 19 = i, -3*t = 4*i - 6. Suppose 70 + 17 = -i*v. Let b = v + 42. List the prime factors of b.
13
Let i(j) = -j**3 + 8*j**2 - 3*j. List the prime factors of i(6).
2, 3
Let k(q) = 0*q**2 - 4*q - 3*q**2 - 1 + 4*q**2. Let h be k(3). List the prime factors of 2/h - 30/(-4).
7
Let m(l) = -l + 3. Let d be 2/(-12)*-3*0. What are the prime factors of m(d)?
3
Let o(i) = -11*i**2 - 3*i - 1. Let s(z) = -5*z**2 - z. Let v(c) = 2*o(c) - 5*s(c). Let x be 2/(-3)*(0 - -3). List the prime factors of v(x).
2, 3
Let h be 1 + (-2)/(-2) + -19. Let r = 37 + h. List the prime factors of r.
2, 5
Let a(h) = h**2 + h + 1. Let c = -15 - -10. List the prime factors of a(c).
3, 7
Let p(b) = b**3 - b**2 + 21. Let z be p(0). What are the prime factors of -1*(1 - -1) + z?
19
Let p(s) = s**2 - 2*s + 3. Suppose 2 = -2*t - 4. Let r = t + 6. What are the prime factors of p(r)?
2, 3
Let n(u) = -3*u**2 + 2*u + 1. Let b be n(2). Let l = 9 + b. What are the prime factors of l?
2
Let f(v) be the first derivative of v**3/3 + 5*v**2 - 11*v - 1. What are the prime factors of f(-12)?
13
Suppose 61 + 101 = 3*f. What are the prime factors of f?
2, 3
Suppose 284 = 37*m - 33*m. List the prime factors of m.
71
Let t = -497 + 713. List the prime factors of t.
2, 3
Suppose -160 = -4*p + 136. What are the prime factors of p?
2, 37
Suppose -2*j + 7*j = 1005. List the prime factors of j.
3, 67
Let g = 7 - 3. Suppose 0 = -g*p + 35 + 165. List the prime factors of 4/5*p/4.
2, 5
Let o(w) = w**3 - 9*w**2 + 4*w - 11. List the prime factors of o(9).
5
Let j(c) = 3*c + 16. What are the prime factors of j(0)?
2
Let l(h) = -11*h + 1. What are the prime factors of l(-10)?
3, 37
Let n be (6/4)/(3/8). Suppose n*p - 76 = -4*g, 5*g - 47 - 18 = 5*p. What are the prime factors of g?
2
Let g(d) = d + 9. Let j be g(-10). Let y = j + 8. List the prime factors of y.
7
Suppose 2*t - 110 = -2*a, 4*a - 8*t - 265 = -3*t. List the prime factors of a.
2, 3, 5
What are the prime factors of 33 - (4 + -1) - 2?
2, 7
Let x be 1/(3 - (-2)/(-1)). List the prime factors of 2*x/(1 - 0).
2
Let l be (-8)/(-3) + 4/(-6). Suppose 2*z = -g + 2*g - 16, -5*g + 44 = l*z. List the prime factors of g.
2, 5
Let h = 11 + -8. Suppose 3*c + h*a - 12 = 0, -4*c + 8 = -5*a - 8. List the prime factors of ((-5)/(-2) + -1)*c.
2, 3
Suppose -2*t = 3*t. Suppose -4*h - 16 + 48 = t. Suppose -5*x = -h - 27. What are the prime factors of x?
7
Let d be -4*(-1)/(-3 - -5). Let i(r) = r**2 + 2*r + 1. List the prime factors of i(d).
3
Suppose -2*f = 2*f. Suppose f = 2*l + 3*s - 59, 2*l + 3*l = -2*s + 120. What are the prime factors of l?
2, 11
Let c = 3 + 27. What are the prime factors of c?
2, 3, 5
Let k be 155/55 - 4/(-22). Let u(x) = -x**3 + 6*x**2 - 3*x - 3. Let o be u(k). Suppose -o = -5*y + 65. What are the prime factors of y?
2
Suppose -2*d + d + 59 = -2*z, 2*z - 148 = -2*d. What are the prime factors of (d/3 + 3)/1?
2, 13
Suppose g - 5*g = -104. Let q = -17 + g. List the prime factors of q.
3
Let r(t) = 2*t - 3. Let m be r(-5). Let x = -9 - m. Suppose -3*g = -14 - x. List the prime factors of g.
2, 3
What are the prime factors of ((-154)/(-4))/(-11)*6*-1?
3, 7
Let i be (5 + -31)*(0 - -1). Let j be i/(-6) + 3/(-9). Suppose -j*q = -3*x + 13, 4*x - 37 = -x - q. What are the prime factors of x?
7
Let n be (-18 + 2)*(0 + 1). Let d be (246/4)/((-12)/n). Suppose -4*l = -5*y + d, -y = -4*l - l - 8. List the prime factors of y.
2, 3
Let p be (10/(-15))/(1/(-6)). Suppose z = 2*q - 52, -44 = -2*q + z - p*z. Suppose -g + 2*u - 4 = 0, 2 = 2*g + 3*u - q. List the prime factors of g.
2, 3
Let j = -6 + 7. Let d = j + 8. What are the prime factors of d?
3
Let t = -7 + 4. Let n be (2 - 8/6)*t. Let h = n - -8. List the prime factors of h.
2, 3
Let w be -1 + 0/(2 - 0). Let s be 1 + 4 + (w - -1). Suppose 2*d = s*h - 50, -34 = h - 4*h + 2*d. List the prime factors of h.
2
Suppose -5*z + z + 4 = -2*m, 5*m - 15 = 5*z. Let l = -2 + m. List the prime factors of l.
2, 3
Let n = 10 + -30. Let c = 2 - n. What are the prime factors of c?
2, 11
Let q = 8 + 6. Suppose 3*g - q = g. List the prime factors of g.
7
Let h be -4 - (-2 - 0) - -2. Suppose -3*o - 2*o + 140 = h. What are the prime factors of o?
2, 7
List the prime factors of (12 - -2)*(-1)/(-2).
7
Let y(f) = f**2 - 1. Let x be y(-2). Let i = x - -1. Suppose -i*s + 23 - 3 = 0. What are the prime factors of s?
5
Suppose 20 = 4*d, 3*d = -3*c + d + 97. List the prime factors of c.
29
Suppose -4*f = -4, 3*v + 5*f - 345 = 155. Suppose -5*g + 10 = -v. List the prime factors of g.
5, 7
Let x(h) = -1 + 5*h + 0 + 0. What are the prime factors of x(2)?
3
Let z(w) = -w**2 - w**3 + 6*w**2 - 9 + 8. List the prime factors of z(4).
3, 5
Suppose 6*x - 8 = 4*x. Let d(u) = 2*u - 6. Let o be d(x). Suppose -4*w + o*w = -10. List the prime factors of w.
5
Let z be (12/1)/((-6)/4). Let g(y) = -y**2 - 9*y - 5. Let n be g(z). Suppose 3*a + s - 3 - 56 = 0, -3 = n*s. What are the prime factors of a?
2, 5
What are the prime factors of (3 - 82/4)/((-3)/6)?
5, 7
Let r = 71 + -34. Suppose i + 7 = r. Suppose -s - 2*s = -i. List the prime factors of s.
2, 5
Suppose 2*r = -3 - 1. List the prime factors of ((-62)/(-4))/(r/(-4)).
31
Suppose -5*s + 655 = 5*v - 9*s, -685 = -5*v - 2*s. What are the prime factors of v?
3, 5
Let k = 299 - 155. What are the prime factors of k?
2, 3
Let h be ((-70)/(-5))/(0 - 1). Let o = h - -46. List the prime factors of o.
2
Suppose 156 = 7*u + 37. List the prime factors of u.
17
Let y(j) = j + 3. Let o be y(-2). Let g = o - -1. Suppose d = -d + 4*w + 24, 15 = g*d + 5*w. List the prime factors of d.
2, 5
Suppose -2*w + 251 = 5*n - 98, -2*n = w - 174. What are the prime factors of w?
2, 43
Suppose -2*x + 8 = -4. What are the prime factors of x/(-9) - 58/(-6)?
3
Suppose -3*t + 18 = 3*t. Suppose 2*s + 32 + 35 = 3*q, 4*q - 88 = t*s. List the prime factors of q.
5
Let g(q) = q**3 + q + 4. Let m be g(0). Let b be (0 - 4/1)/(-1). Suppose -32 = -y - b*y + 2*h, 2*h = -m*y + 22. What are the prime factors of y?
2, 3
Let j = 5 + -2. Suppose 0 = -0*i - j*i. Suppose -3*g = -i - 12. List the prime factors of g.
2
Let d be ((-12)/(-18))/((-2)/(-21)). Suppose -4*c = 3*m + d, 5*m - 4*m - c - 7 = 0. Let j = m + 13. List the prime factors of j.
2
Let l = 16 - 9. List the prime factors of l.
7
Suppose 0 = -6*g - 274 + 898. List the prime factors of g.
2, 13
Suppose 0*y - 55 = -5*s + 5*y, 4*s - 84 = -4*y. List the prime factors of s.
2
Let s be (-3 + 5)*-1 + -13. Let h = -9 - s. List the prime factors of h.
2, 3
Let a(p) = p**3 + 11*p**2 + 7*p - 7. List the prime factors of a(-10).
23
Suppose -5*k + 5*t = 2*t - 13, -5*k + t = -11. List the prime factors of (1 - 1) + k - -17.
19
Let w = 40 - 27. List the prime factors of w.
13
Suppose -60*u + 56*u + 220 = 0. List the prime factors of u.
5, 11
Let h(w) = 5*w**2 - w - 1. Let u be 2/((-4)/(-2))*-1. Let f be h(u). Let i = f - 3. What are the prime factors of i?
2
Let o = 17 - | {
"pile_set_name": "DM Mathematics"
} |
b be 0 - 3/(-3) - (-2 - 0). Suppose b*w + 143 = -4*m + 6*m, -4*w = -2*m + 140. What are the prime factors of m?
2, 19
Let t(z) = -159*z**3 - 23*z - 29. What are the prime factors of t(-6)?
131, 263
Let m(l) = -1 + 3*l**2 + 6*l**2 - 8*l**2. Let s be m(3). Suppose -3*k + 166 = 2*u, -5*k + 306 = -s*u + 4*u. What are the prime factors of k?
2, 29
Let v = -141 + 287. Suppose -3*r + 3*l = -7*r - 258, -4*r = l + 262. Let f = r + v. List the prime factors of f.
2, 5
Suppose 14 + 94 = 2*x. Let p = x + -14. List the prime factors of (-484)/(-3) - (7 + p/(-6)).
7, 23
Let w(p) = -2*p + 162. Let h be w(-7). Suppose 4*a = 2*j - h, -4*j = 3*a - 419 + 34. What are the prime factors of j?
2, 47
Let l be (-1)/(0 - (-2)/(-2)). Suppose 3*u - 4 = -l. What are the prime factors of (u*2/(-4))/((-4)/680)?
5, 17
Suppose 24*d = 31*d + 7. Let c(l) = -l**3 - l**2 + 2. Let w be c(d). What are the prime factors of w + 48 + (1 - 3)?
2, 3
Suppose 11*w - 269 = 523. Suppose -75 = w*z - 77*z. What are the prime factors of z?
3, 5
Let u(i) = -2*i**3 + 8*i + 4. Let a be u(-2). Suppose a*n + x - 1032 = 0, -2*n - 3*x + 4*x + 510 = 0. What are the prime factors of n?
257
Let z = -292 + 162. Let d = z - -312. List the prime factors of d.
2, 7, 13
Suppose 2385 = 3*a - 6*a. Let q = -564 - a. Suppose -4*f + 77 = -y + 2*y, -3*y + q = -f. What are the prime factors of y?
7, 11
Suppose 660 = 3*m - m - 5*t, -4*m + 1320 = -5*t. Let n = m - 150. List the prime factors of n.
2, 3, 5
Let k be (-4 - -1)/((-24)/(-32)). Let l be 1/((-3)/k)*36/24. Suppose 37 = l*o - 93. List the prime factors of o.
5, 13
Let t(c) = -223*c - 57. Let f be t(-21). Suppose i - f = -17*i. What are the prime factors of i?
257
Let f be (4*-406 - 3) + (2 - -1). What are the prime factors of -5*3/(-15) - f?
5, 13
Let y(p) = 2845*p + 998. List the prime factors of y(17).
49363
List the prime factors of 7 + 15/(-2)*1381436/(-1030).
2, 7, 719
Suppose 0 = -8*u + 4*u + 48. Suppose u - 8 = 2*n. Let r(x) = 16*x**3 - 4*x**2 + 3*x - 2. What are the prime factors of r(n)?
2, 29
Let g = 4294 + -673. What are the prime factors of g?
3, 17, 71
Suppose 0 = -a - 0*o + 2*o - 51, -2*o = -5*a - 239. Let p = 63 - a. Suppose 4*g = 2*u - 76, -p - 15 = -4*u - g. What are the prime factors of u?
2
Suppose 2*f + 3*k - 21 = 0, -5*f - 6 = -4*k - 1. Suppose z + 265 = f*o - 1890, -3605 = -5*o + 5*z. What are the prime factors of o?
3, 239
Suppose 0 = 2*r - 6 - 12. Suppose r*z - 3 = -21. Let p(j) = -16*j - 5. List the prime factors of p(z).
3
Let d = 5568 + -3356. Let g = d - 1116. What are the prime factors of g?
2, 137
Let g be (3492/(-24))/((-3)/4). Suppose 191*v + 207 = g*v. List the prime factors of v.
3, 23
Let r(g) be the first derivative of 9*g**2/2 - 41*g + 2. Let p = -668 - -688. What are the prime factors of r(p)?
139
Suppose 15*c - 184743 = -66978. What are the prime factors of c?
3, 2617
Suppose 67*a = -5*a + 316728. What are the prime factors of a?
53, 83
Let z = -36 + 46. Suppose -z*k + 132 = k. Let o(w) = w**2 - 2*w + 15. List the prime factors of o(k).
3, 5
Suppose 5*h = 4*b - 40, -h + 2 = -b + 11. Suppose 0*a = 2*a - 3*g + 18, b*a + 4*g = -45. Let y = 19 + a. List the prime factors of y.
2, 5
Let w(c) be the first derivative of 2*c**3/3 - 15*c**2/2 + 20*c - 1. Let r(d) = 5*d**2 - 3*d. Let i be r(2). List the prime factors of w(i).
2, 101
Suppose g + 125118 = 34*k - 32*k, -5*g = -5*k + 312790. List the prime factors of k.
2, 5, 17, 23
Suppose -10*b + 7129 = -4581. Suppose -23*m + 19*m - b = -i, 0 = -5*m - 20. List the prime factors of i.
3, 5, 7, 11
Let c(p) = -p**3 - 3*p**2 - 9*p - 13. Let m be c(-5). Let g = m - 56. What are the prime factors of 5/(g/(-20) + (-21)/(-14))?
5
Suppose -12 + 3 = 3*t. Let o(i) = -i - 1. Let r be o(t). Suppose -r*y = -59 + 29. List the prime factors of y.
3, 5
Let p(z) = -52*z - 130. Let q(y) = 11*y + 26. Let j(l) = -3*p(l) - 14*q(l). What are the prime factors of j(-12)?
2
Suppose -29*v + 30*v = -692. Let m = v - -1485. What are the prime factors of m?
13, 61
Suppose -2189*v + 2186*v + 73332 = 0. List the prime factors of v.
2, 3, 7, 97
Let i = 646 + -622. List the prime factors of (-9)/((-81)/i)*102.
2, 17
Suppose 0 = -2*j - 3*d - 3 + 30, 2*j - 2 = 2*d. Let p(g) = -g**2 + 7*g. Let x be p(j). What are the prime factors of 595/10 - 9/x?
2, 29
Suppose -3*b + 8*b + 115 = 0. Let h be (90/7)/(5 + 469/(-98)). Let d = h - b. What are the prime factors of d?
83
Let n = -652 + 706. Suppose 0 = -0*i + n*i - 103626. List the prime factors of i.
19, 101
Suppose -4*d = -7819 - 389. Suppose -24*o = -33*o + d. What are the prime factors of o?
2, 3, 19
Suppose -3*u = 3*x - 2166, -5 = -17*u + 12*u. Suppose 25*w - 2604 - x = 0. List the prime factors of w.
7, 19
Let v = -12105 + 20844. What are the prime factors of v?
3, 971
Suppose -319*b - 74*b - 217*b = -13285190. List the prime factors of b.
29, 751
What are the prime factors of (-10608)/(-168)*8/((-48)/(-42))?
2, 13, 17
Let t(v) = v**3 - 3*v**2 - 10*v - 4. Let x be t(-4). Let j = 78 + x. Suppose j*b + 2*b = -8, 4*b = n - 96. What are the prime factors of n?
2, 11
Let o = -2742 + 7589. What are the prime factors of o?
37, 131
Suppose -7*u + 5*u = 2*h - 8, 3*h + 9 = 0. Suppose -u*i + 7935 = 16*i. List the prime factors of i.
3, 5, 23
Suppose -3*z + 11 = -5*y, -2*y = 3*z - y - 5. Suppose -3*n = -z*n + 4*a - 3, a + 1 = -2*n. Let x(w) = 144*w**2 + 2*w + 1. What are the prime factors of x(n)?
11, 13
Suppose -92*r + 68649 = -181*r + 96*r. What are the prime factors of r?
3, 7, 467
List the prime factors of 4/28*(123 + 5876).
857
Suppose 6*m - 5829 - 6273 = 0. List the prime factors of m.
2017
Let t(j) = 52*j**3 - 2*j**2 + 4*j + 16. What are the prime factors of t(4)?
2, 13
Suppose -2*t = -g - 1050, -2*t - 4*g + 682 = -368. Let p = t + -285. List the prime factors of p.
2, 3, 5
Let w(m) be the first derivative of 11*m**3/3 - 2*m**2 + 21*m + 14. List the prime factors of w(6).
3, 131
Suppose 2*i + 5*q - 20 = 0, -4*i + 28 = q + 3*q. Suppose 332 = -i*x + 1427. What are the prime factors of x?
3, 73
Let q = -1581 - -2765. List the prime factors of q.
2, 37
Let r be 4 + 0/(-6) + -10. Let q(p) = -p**3 - p**2 + 3*p + 2. List the prime factors of q(r).
2, 41
Let d(t) = -417*t - 3352. List the prime factors of d(-43).
61, 239
Let v(z) = 4943*z - 1748. What are the prime factors of v(16)?
2, 3, 5, 1289
Let c = 9131 - 5164. List the prime factors of c.
3967
Let z(u) = -81*u**2 - 712 + 18*u + 87*u**2 + 692. What are the prime factors of z(5)?
2, 5, 11
Let v(s) = -3*s + 2. Let j be v(0). Suppose j*c - 2427 = 275. List the prime factors of c.
7, 193
Let o(n) = -n**2 - 149*n + 56. What are the prime factors of o(-62)?
2, 5, 109
Let k(u) = -2*u**3 - 129*u**2 - 78*u - 87. List the prime factors of k(-68).
5, 7517
Let f be 3/((-7)/434*-6). Let n = 90 - f. What are the prime factors of n?
59
Let n = 128 - 120. Suppose 9*v - n*v = 2. Let p(w) = 53*w + 21. What are the prime factors of p(v)?
127
Let o be ((-700)/(-16) - -1)*8/1. Let i = o - 53. Suppose i = 3*r - 4*h, -5*r + 0*r = 4*h - 455. List the prime factors of r.
5, 19
Let n(b) = -12*b**3 - 11*b**2 - 7*b + 21. What are the prime factors of n(-7)?
7, 521
Let f = 13403 - 7755. What are the prime factors of f?
2, 353
Suppose 849*t = 836*t + 133741 + 78926. What are the prime factors of t?
3, 7, 19, 41
Let y be 44/418 + 161817/57. Let l = y + -1235. What are the prime factors of l?
2, 401
Let n = -1271 + 1423. List the prime factors of n.
2, 19
Let n be 12*(12/(-4))/(-6). Let p(v) = 8*v - 4 - v**3 - v**2 + 2*v**2 - n*v**2. What are the prime factors of p(-7)?
2, 19
Let b(c) = c + 41. Let y be b(6). Suppose 3*g - 3*d - 4 = 8*g, -4*g = -5*d - 19. Suppose m - y = g. List the prime factors of m.
2, 3
Suppose -5*r + 25 = 0, 7*r - 44 = -3*p + 3*r. Suppose p*k = 1711 - 15. What are the prime factors of k?
2, 53
Suppose 3*w + 16 + 5 = 5*m, 4*m = -w + 10. Suppose m*h = -9 + 12. List the prime factors of (h - -7)*(-210)/(-12).
2, 5, 7
Let v(f) = f**2 - 4*f - 21. Let w be v(7). Suppose 4*d = -3*r + 1790, 5*d + w*r - 2228 = r. What are the prime factors of d?
2, 223
Let d(a) = a**3 + 17*a**2 - 38*a + 37. Let y be d(-19). Suppose y*j - 27039 + 880 = 0. List the prime factors of j.
7, 101
Let a(b) = -209*b + 1904. List the prime factors of a(5).
859
Let | {
"pile_set_name": "DM Mathematics"
} |
acement from ruxmxumcmrrupmu?
2/35
Calculate prob of picking 1 w and 1 m when two letters picked without replacement from wwmwwwwwwwz.
9/55
What is prob of picking 3 p and 1 m when four letters picked without replacement from {m: 4, p: 5, w: 3}?
8/99
Three letters picked without replacement from ifgfffggfifgiffgfigf. Give prob of picking 2 f and 1 i.
3/19
Three letters picked without replacement from {l: 2, i: 4, h: 1}. Give prob of picking 2 i and 1 l.
12/35
Four letters picked without replacement from xiiiiixiiii. What is prob of picking 4 i?
21/55
Calculate prob of picking 1 w and 2 f when three letters picked without replacement from {g: 1, f: 4, w: 8}.
24/143
What is prob of picking 3 y when three letters picked without replacement from {y: 4, q: 1, h: 3}?
1/14
Three letters picked without replacement from bbbbaabbbbvbvbb. What is prob of picking 3 b?
33/91
Calculate prob of picking 2 j when two letters picked without replacement from {b: 9, j: 9}.
4/17
Three letters picked without replacement from pppppppxppppxppppppp. What is prob of picking 2 p and 1 x?
51/190
Two letters picked without replacement from {a: 8, h: 3}. Give prob of picking 2 a.
28/55
What is prob of picking 1 b and 1 z when two letters picked without replacement from joobksz?
1/21
Two letters picked without replacement from {l: 2, s: 2, z: 9, u: 1}. What is prob of picking 1 u and 1 l?
2/91
Four letters picked without replacement from {q: 2, a: 2, p: 3, s: 4}. Give prob of picking 3 p and 1 q.
1/165
Calculate prob of picking 2 c and 1 p when three letters picked without replacement from {p: 2, d: 1, c: 2, g: 1, z: 1}.
2/35
Calculate prob of picking 2 i, 1 r, and 1 j when four letters picked without replacement from {w: 4, j: 5, r: 2, z: 3, i: 5}.
25/969
Two letters picked without replacement from mgoji. Give prob of picking 1 g and 1 o.
1/10
Three letters picked without replacement from {u: 4, h: 7, x: 2, v: 1}. What is prob of picking 2 x and 1 u?
1/91
What is prob of picking 1 i and 3 g when four letters picked without replacement from {c: 6, a: 6, g: 5, i: 1}?
1/306
Four letters picked without replacement from rrarrvrrrvra. What is prob of picking 2 v and 2 r?
28/495
Two letters picked without replacement from iixfyaxxiaahafaafyx. Give prob of picking 2 y.
1/171
What is prob of picking 2 e when two letters picked without replacement from {u: 2, e: 5}?
10/21
Two letters picked without replacement from cvpcmmkkmctpp. What is prob of picking 1 t and 1 c?
1/26
Calculate prob of picking 2 a and 2 i when four letters picked without replacement from {i: 6, a: 4}.
3/7
Four letters picked without replacement from {a: 1, r: 2, g: 1, v: 1}. Give prob of picking 4 g.
0
What is prob of picking 1 d and 1 e when two letters picked without replacement from {c: 2, e: 2, d: 1, b: 1}?
2/15
What is prob of picking 2 r and 1 y when three letters picked without replacement from rryrrrrr?
3/8
What is prob of picking 3 w when three letters picked without replacement from mmpnmmwwwpw?
4/165
Three letters picked without replacement from {f: 2, e: 1, y: 9, v: 1}. Give prob of picking 1 y, 1 f, and 1 e.
9/143
What is prob of picking 4 x when four letters picked without replacement from {u: 5, x: 15}?
91/323
What is prob of picking 1 z and 1 d when two letters picked without replacement from {z: 7, w: 2, d: 11}?
77/190
Calculate prob of picking 1 a, 1 e, and 1 y when three letters picked without replacement from {s: 3, a: 1, b: 2, w: 1, e: 3, y: 3}.
9/286
Two letters picked without replacement from gegfqgffeefffgq. What is prob of picking 1 q and 1 f?
4/35
Two letters picked without replacement from iioisiiswwsiowi. What is prob of picking 1 w and 1 i?
1/5
Four letters picked without replacement from xuazmzu. Give prob of picking 1 m, 1 z, and 2 u.
2/35
Four letters picked without replacement from {n: 2, i: 1, r: 1, u: 1, c: 2, v: 2}. What is prob of picking 1 v, 1 u, 1 i, and 1 n?
2/63
Three letters picked without replacement from mfwka. What is prob of picking 1 m, 1 w, and 1 a?
1/10
Three letters picked without replacement from waqwqwajjrqrjqaqjqjq. What is prob of picking 1 a, 1 r, and 1 q?
7/190
What is prob of picking 3 y when three letters picked without replacement from gkypgpkyggy?
1/165
Calculate prob of picking 1 t, 1 w, and 1 p when three letters picked without replacement from ummtpuupwuuuuuumu.
1/340
Two letters picked without replacement from {h: 3, b: 5}. Give prob of picking 2 h.
3/28
What is prob of picking 2 h when two letters picked without replacement from llmhlpm?
0
Three letters picked without replacement from fcffffiffcfcifcccff. Give prob of picking 1 i and 2 f.
110/969
Three letters picked without replacement from {r: 12, y: 7}. Give prob of picking 3 y.
35/969
What is prob of picking 1 j and 2 t when three letters picked without replacement from {y: 1, t: 11, j: 5}?
55/136
What is prob of picking 1 l, 1 e, and 2 x when four letters picked without replacement from xllxxsssxle?
3/55
Two letters picked without replacement from {z: 3, a: 6, y: 2, l: 1, g: 1}. Give prob of picking 1 l and 1 y.
1/39
Two letters picked without replacement from {i: 7, s: 3}. Give prob of picking 2 i.
7/15
Calculate prob of picking 2 j when two letters picked without replacement from daqjyjyp.
1/28
Three letters picked without replacement from kkkkzkzzzk. What is prob of picking 2 k and 1 z?
1/2
Two letters picked without replacement from jzgxzss. What is prob of picking 1 z and 1 x?
2/21
Calculate prob of picking 3 k when three letters picked without replacement from {k: 7, s: 1}.
5/8
Two letters picked without replacement from ddldddldddd. What is prob of picking 2 d?
36/55
What is prob of picking 2 c when two letters picked without replacement from {c: 5, w: 8}?
5/39
Calculate prob of picking 3 z when three letters picked without replacement from ozzzzoozozz.
7/33
Three letters picked without replacement from iiii. Give prob of picking 3 i.
1
Calculate prob of picking 2 e and 1 m when three letters picked without replacement from {e: 3, q: 1, m: 1}.
3/10
What is prob of picking 1 j, 1 p, and 1 i when three letters picked without replacement from {m: 5, b: 2, p: 5, i: 1, k: 2, j: 5}?
5/228
Calculate prob of picking 1 l and 1 y when two letters picked without replacement from gyvyvykvylyg.
5/66
Three letters picked without replacement from rtllrtrlltatatrlrtt. What is prob of picking 1 r, 1 t, and 1 a?
70/969
Four letters picked without replacement from {p: 4, y: 2, x: 5}. What is prob of picking 1 p and 3 x?
4/33
What is prob of picking 1 k and 1 r when two letters picked without replacement from rrrrrrrrrrrkrrrkrrrr?
18/95
Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {t: 2, l: 1, j: 1, n: 2}.
4/15
Four letters picked without replacement from {e: 7, v: 5, l: 7}. What is prob of picking 4 e?
35/3876
Calculate prob of picking 1 p and 1 g when two letters picked without replacement from fiipiffifgiigifik.
1/68
Four letters picked without replacement from zzzzz. Give prob of picking 4 z.
1
Four letters picked without replacement from wdddweddewwwtwtwtww. Give prob of picking 1 d and 3 t.
5/3876
Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {b: 1, s: 3, p: 10, n: 2}.
1/6
Four letters picked without replacement from ubavbuubbuobuattb. Give prob of picking 2 a, 1 b, and 1 u.
3/238
Four letters picked without replacement from iqqqmmqsiqmqqsi. Give prob of picking 2 m and 2 i.
3/455
Calculate prob of picking 1 v and 1 r when two letters picked without replacement from {n: 1, r: 1, q: 4, b: 4, v: 1}.
1/55
Four letters picked without replacement from pppopppopppppopp. Give prob of picking 3 p and 1 o.
33/70
What is prob of picking 1 i and 1 v when two letters picked without replacement from tvctticittic?
1/22
Two letters picked without replacement from {v: 3, f: 6, d: 1, x: 2, w: 1, y: 2}. Give prob of picking 1 w and 1 v.
1/35
Two letters picked without replacement from effejvovvevvmjeejov. Give prob of picking 1 j and 1 f.
2/57
Three letters picked without replacement from atatattttttttttttttt. What is prob of picking 1 a and 2 t?
34/95
Two letters picked without replacement from nanaanannkanannnn. What is prob of p | {
"pile_set_name": "DM Mathematics"
} |
cond derivative of z(j) wrt j.
-8538*j
Let f(m) be the second derivative of 271*m**4/2 + 1573*m**3/6 - 671*m + 1. Find the second derivative of f(a) wrt a.
3252
Let d(r) be the third derivative of r**6/30 + 17*r**4/12 - 2407*r**3/3 + 2*r**2 - 1061*r - 2. What is the derivative of d(o) wrt o?
12*o**2 + 34
Let t(d) = 81*d**4 + 5*d**2 + 159. Let q(g) = -3*g**2 - 892*g**4 + 87 + 5*g**2 + 933*g**4 - 8. Let m(y) = 5*q(y) - 2*t(y). What is the derivative of m(p) wrt p?
172*p**3
Let f(p) be the second derivative of 25*p**4/12 + 8*p**3 - 1937*p**2 - 2*p - 294. What is the derivative of f(s) wrt s?
50*s + 48
Suppose w = -a + 6, -6*w = -7*w + 1. What is the second derivative of 57*r + 21*r**a - 137*r**5 + 33*r**5 wrt r?
-1660*r**3
Let l(u) = 10*u**4 + 1142*u**2 - 7121*u + 8. Let d(q) = 4*q**4 + 381*q**2 - 2374*q + 3. Let r(v) = -8*d(v) + 3*l(v). Find the second derivative of r(j) wrt j.
-24*j**2 + 756
Suppose -3*d + o = -3, -3 = -4*d + 4*o - 7. Find the second derivative of -275*i**d + 19*i + 7*i + 308*i**2 wrt i.
66
Let d(p) be the second derivative of -987*p**3/2 + 463*p**2 + 2086*p. Differentiate d(l) with respect to l.
-2961
Let p(t) be the first derivative of -7*t**5 + t**4/2 - 46*t**3/3 - 9169*t**2/2 + 1701. What is the second derivative of p(l) wrt l?
-420*l**2 + 12*l - 92
Let x(v) be the second derivative of -65*v**8/7 - 3*v**5/20 + 155*v**4/12 + v**2/2 - 885*v. Find the third derivative of x(m) wrt m.
-62400*m**3 - 18
Let l(k) = 42*k**4 - 2*k**3 + 4*k + 33. Let u(s) = s**4 + s**3. Let a(q) = -l(q) - 3*u(q). Find the second derivative of a(x) wrt x.
-540*x**2 - 6*x
Let f be ((-166)/(-2))/((-23)/(-46)). Find the first derivative of f - 209 + 5*g + g wrt g.
6
Let c(l) be the third derivative of -l**5/30 - 341*l**4/24 - 209*l**3 - 124*l**2. Find the first derivative of c(x) wrt x.
-4*x - 341
Let k(b) be the first derivative of -4550*b**6/3 + 247*b**3/3 - b**2/2 - 4*b + 11284. What is the third derivative of k(d) wrt d?
-546000*d**2
Let b(k) be the second derivative of -43*k**7/14 - k**6/15 + 3*k**5/20 + k**4/12 + 1633*k**3/6 + 543*k. What is the third derivative of b(y) wrt y?
-7740*y**2 - 48*y + 18
Suppose -5*f = -i - 17, 3*i - 11 = -5*f - 2. Find the second derivative of -6*h**2 + h**f - 81*h + 47*h - 25*h wrt h.
6*h - 12
What is the third derivative of 73*t - 73*t + 7256*t**5 - 50*t**3 - 6732*t**2 + 50*t**3 wrt t?
435360*t**2
Suppose -i = -5*i - 4. Let p be 2*(105/10 - (i - -5)). Find the second derivative of -28*h**4 - 8*h - 5*h + p*h**4 wrt h.
-180*h**2
Let i(c) = -264*c**2 - 344*c - 20. Let z(f) = -f - 2. Let t(o) = -i(o) + 10*z(o). Find the second derivative of t(u) wrt u.
528
Let r(y) = y**3 - 14*y**2 + 3*y + 17. Let t be r(14). Let i be t - -9*(-4)/12. Differentiate -3345 + i*q**2 + 3343 - 16*q**2 wrt q.
80*q
Let r(x) be the second derivative of 0*x**2 + 3*x + 16/3*x**3 + 47/12*x**4 - 21. What is the second derivative of r(i) wrt i?
94
Let j be 6/(-4)*(-210)/3. Let x be (-14)/j + 96/45. Find the third derivative of -10*y**4 - 2*y**x + 2*y**2 - y**2 - 7*y**2 wrt y.
-240*y
Let n(p) be the first derivative of p**3/3 - 2*p**2 - 19*p - 17. Let g be n(-3). What is the third derivative of -4*q**5 - 11*q**2 - 26*q**g - 16*q**5 wrt q?
-1200*q**2
Let l be (40/(-600))/(16/(-36)). Let n(t) be the second derivative of 0 - l*t**5 - t + 0*t**3 + 7/12*t**4 + 0*t**2. What is the third derivative of n(a) wrt a?
-18
Let k(a) be the first derivative of -4*a**5/5 - 3*a**4/4 + 2*a**3/3 - 124*a**2 + 1177. Find the third derivative of k(f) wrt f.
-96*f - 18
Let w(r) = -333*r**4 + 2*r**3 + 8*r + 155. Let y(u) = u**4 + u**3 + 4*u - 2. Let b(i) = 2*w(i) - 4*y(i). Differentiate b(q) wrt q.
-2680*q**3
Let z = 86 - 57. Let k = z + -25. What is the second derivative of 0*s - 2*s + 19*s**3 - 3*s**3 - k*s wrt s?
96*s
Let x(k) be the second derivative of -k**6/6 + 153*k**5/20 + 1917*k**2 - 83*k + 17. What is the first derivative of x(f) wrt f?
-20*f**3 + 459*f**2
Let n be (-16)/56 + 1*(-452)/(-14). Let r = -28 + n. What is the second derivative of -7*f**r - f + 19*f**5 - 35*f + 7*f**4 wrt f?
380*f**3
Suppose 0 = -331*a - 64 + 64. Let l(n) be the third derivative of -7/15*n**5 + 0*n**4 + a + 0*n + 8/3*n**3 - 23*n**2. What is the derivative of l(x) wrt x?
-56*x
Let y(m) = 62*m**2 - 23*m - 9. Let p(r) = -10*r**2 + 0*r**2 - r + 9*r**2 + 2. Let k(c) = 5*p(c) + y(c). Find the second derivative of k(u) wrt u.
114
Differentiate 196*q**2 - 4370 + 9*q**2 - 41*q**2 + 42*q**2 - 2*q with respect to q.
412*q - 2
Let y be (-2)/10 - 768/60. Let w(z) = -7*z**2 + 17*z - 149. Let j(m) = 15*m**2 - 36*m + 300. Let l(k) = y*w(k) - 6*j(k). Differentiate l(g) wrt g.
2*g - 5
Suppose 0 = -5*a - 2*v + 495, -4*v = 5*a - 4*a - 99. What is the second derivative of -358*z - 83*z**4 + 195*z + a*z wrt z?
-996*z**2
Suppose 7*q + 456 = -27. Let w = -64 - q. Find the first derivative of 18 - 9 - 21*i**2 + w*i**2 wrt i.
-32*i
Let y(u) be the third derivative of -2*u**2 + 0*u**6 + 47/105*u**7 - 13/24*u**4 + 12*u + 0*u**3 + 0 + 0*u**5. What is the second derivative of y(c) wrt c?
1128*c**2
Suppose -3*x + 5*t = -108, 25 = -x + 3*t + 61. What is the second derivative of 28*y - 111*y**2 + 3 - x*y - 59*y - 189*y**2 wrt y?
-600
Let m(k) = k**3 + k - 1. Let c(w) = -4*w**4 + 5*w**3 + 10*w - 51. Let t be 6 + (-12)/2 + 5. Let i(p) = t*m(p) - c(p). What is the derivative of i(n) wrt n?
16*n**3 - 5
Let j(p) be the third derivative of 37*p**8/48 + 61*p**5/2 - 4298*p**2. What is the third derivative of j(s) wrt s?
15540*s**2
Let c = -547 - -566. Suppose -5*o = 0, -3*u + o + 0*o = -3. What is the second derivative of 1 - u - 19*r + 22*r - c*r**2 wrt r?
-38
Let w(o) be the first derivative of 2105*o**4/4 - 826*o - 347. Differentiate w(k) wrt k.
6315*k**2
Let t = -484 + 486. What is the first derivative of -77 + 579*y - 579*y - 65*y**t wrt y?
-130*y
Find the first derivative of -62*t**2 - 896*t**2 + 0*t - 4659 - 223*t**2 + 0*t wrt t.
-2362*t
What is the second derivative of -1088*j - 224*j**4 + 105*j**4 + 120*j**4 + 89*j**2 wrt j?
12*j**2 + 178
Let x(p) be the first derivative of -8*p**3/3 + 2315*p + 1621. Differentiate x(l) wrt l.
-16*l
Let x(c) = -4240*c**3 + 1274*c**2 - 18*c - 8. Let q(v) = -1413*v**3 + 426*v**2 - 7*v - 3. Let n(j) = 8*q(j) - 3*x(j). Find the third derivative of n(w) wrt w.
8496
What is the first derivative of 5619*q**2 - 11188*q**2 - 2437 + 6674*q**2 wrt q?
2210*q
Let q = 35 + -32. What is the third derivative of 3*m**4 - 53*m**2 - 4*m**q + 104*m**2 - 37*m**2 + 2 wrt m?
72*m - 24
Let g(i) be the second derivative of 2*i + 0*i**5 + 95/3*i**3 - 1/6*i**4 + 36 + 37/30*i**6 + 0*i**2. What is the second derivative of g(x) wrt x?
444*x**2 - 4
Let z(w) be the second derivative of 3*w**6/10 - 19*w**3/3 - 961*w**2/2 - 3731*w. Find the first derivative of z(g) wrt g.
36*g**3 - 38
Let m(j) = 1302*j**2 - 83*j - 4. Let h(f) = -3923*f**2 + 249*f + 11. Let b(y) = -3*h(y) - 8*m(y). Find the second derivative of b(l) wrt l.
2706
Let f(b) be the first derivative of 8*b**3 - 18*b**2 + 72*b - 77. Let g(x) = x**2 - 1. Let j(k) = -f(k) - 72*g(k). What is the second derivative of j(d) wrt d?
-192
Let v be (-4 - 5) + -1 + 1. Let j be 176/99 + (-2)/v. What is the derivative of -j*l**2 - 8*l**2 - 5*l**2 - 15 wrt l?
-30*l
Let a(f) be the third derivative of 179/336*f**8 + 0*f**7 + 0*f**4 + 0*f - 177*f**2 - 2/15*f**5 + f**3 + 0*f**6 + 0. What is the third derivative of a(r) wrt r?
10740*r**2
Let i(q) be the second derivative of 2515*q**3/2 + 2625*q**2/2 - 10566*q. What is the derivative of i(x) wrt x?
7545
Let p(l) = -l**3 - 9*l**2 + 14*l - 8. Let g be p(-15). Let q be 2/8 + (-285)/(-12). What is the third derivative of 1132 - g - q*b**2 - 20*b**3 wrt b?
-120
Let o = -57 + 69. Let j be (1 - 1/2)/(2/o). Find the first derivative of -j*a**2 + 5 + 0*a**2 - a**2 wrt a.
-8*a
Let v(o) be the first derivative of -14*o**6/3 + 15*o**4/4 + 37*o**2/2 - 11*o + 387. Find the second derivative of v(q) wrt q.
-560*q**3 + 90*q
What is the second derivative of -330 - 392*u**3 + 1260*u**3 + 3*u + 4574*u**3 wrt u?
32652*u
Let h be 8/52 - (-2)/(26/3287). What is the first derivative of 187 - h - s**2 - 130 + 58*s**3 wrt s?
174*s**2 - 2*s
Let n = 1 - -1. Let x be 168/105*25/2. Find the second derivative of 11*q**2 + x*q**4 + 3*q - 14*q - 11*q**n wrt q | {
"pile_set_name": "DM Mathematics"
} |
et k(m) = 33*m + 1. Is k(b) a composite number?
False
Let q = 51 - 79. Let x = -28 - q. Suppose x = 2*o - 0*o - 452. Is o prime?
False
Suppose -2*q = 0, 4*q + 8947 - 482 = 5*s. Is s composite?
False
Suppose -9 + 4 = -c - 5*r, c = 3*r + 5. Suppose c*o - 10*o = -5. Is ((-5)/(-10))/(o/66) prime?
False
Let h(p) = -168*p**3 - 3*p**2 + 7. Let o be h(-2). Suppose -v + 1266 + o = 0. Is v composite?
True
Let w = 995 - 710. Let n = 704 - w. Is n composite?
False
Let h = -2 + 29. Is (-8)/(-2) + (h*26 - 5) a prime number?
True
Let l = 31391 + -14872. Is l composite?
False
Let m be ((-6)/(-18))/((-1)/(-207)). Let b(k) = -5*k - 3*k + 11*k + 85*k**2 + 1 + m*k**2. Is b(-2) a prime number?
False
Suppose -237106 = -7*j - 29465. Is j a prime number?
True
Let w(m) = m - 7*m**3 - 77 + 78 - m - 3*m**2. Is w(-9) a prime number?
True
Suppose -16 = -4*h, 2*c + h - 4354 = 2*h. Is c a prime number?
True
Let m(i) be the first derivative of 3*i**2/2 - 2*i - 2. Let p = -9 + 17. Is m(p) a composite number?
True
Let z(u) = -84*u - 6. Let h be z(-8). Suppose 526 = 8*s - h. Is s prime?
True
Let a(x) = 8*x**2 - 6*x + 1. Let h be a(6). Suppose -3*v = n + 83, -n + 2*v = 6*v + 78. Let t = h + n. Is t a prime number?
False
Let a be ((-9)/4)/((-51)/(-952)). Let d be (-3124)/33*a/4. Let k = 559 + d. Is k a prime number?
True
Suppose -3*a - 12*a = -366465. Is a composite?
True
Is -1 - (37128/(-2) - (55 + -59)) prime?
False
Let g = 2 - -3. Suppose -g*i - 5*j + 30 = 0, -i - 2*j + 14 = j. Suppose 2*w = -4, k - i*w - w = 155. Is k a prime number?
True
Let p(u) = u**3 + 9*u**2 - u + 4. Suppose -24*z = -21*z - 21. Is p(z) prime?
False
Let b = -11 + 26. Suppose 4*a - 63 + 23 = -4*j, j - 4*a = -b. Suppose -q + 6*q = j*c - 140, -5*c = -4*q - 137. Is c composite?
True
Let o = 102 - 95. Let h(z) = 8*z**2 - 5*z - 20. Is h(o) a composite number?
False
Let m(g) = 3*g**2 - 2*g + 2. Let q be m(1). Suppose 2 + 10 = 4*a - 4*s, -q*s = 4*a + 23. Is 1 + a + 1 + 33 prime?
False
Suppose 35*t - 12804 - 24751 = 0. Is t a prime number?
False
Let t = -978 - -1373. Is t a prime number?
False
Suppose -4*w - 3*i - 6800 = 0, -w = 4*i - i + 1700. Is 3 + (w/(-6))/(6/18) a prime number?
True
Suppose 264 = 5*k + 84. Suppose -3*u + 4*h + 1291 = 0, -5*h + 935 = 2*u + k. Is u prime?
False
Let k = -75 + 75. Suppose -2*q + 911 + 1075 = k. Is q a composite number?
True
Suppose -6*k - 17 - 19 = 0. Let u(o) = -3*o**3 + 5*o**2 + 2*o - 7. Is u(k) a composite number?
False
Suppose 2*y = 10*c - 8*c + 11040, 0 = -3*y - c + 16540. Is y a composite number?
True
Suppose 3*g - 47881 = 4*k, 5*g = -5*k + 35566 + 44224. Is g a composite number?
False
Is (-9)/((-1377)/306782) - (-1)/(-9) a composite number?
True
Suppose -3*h - 1884 = -5*h + 2*i, 3*h - 2831 = -2*i. Is h a prime number?
False
Let a be (2/(-4))/(4/(-344)). Suppose a - 383 = -5*l. Let q = 105 - l. Is q a prime number?
True
Let z = -14 + -16. Let u be -5 + 6 + z/(-2). Is 2*-22*(-116)/u composite?
True
Let q(b) = 128*b - 1. Suppose 11*n = 7*n + 4. Is q(n) a composite number?
False
Let c = 42529 + -21894. Is c a composite number?
True
Suppose -3*k = -5*k + 4*r + 16, 2*k - r - 4 = 0. Suppose k = -f + 4. Suppose 0*d = f*d - 236. Is d a prime number?
True
Suppose 2*g - 26039 = -5*x, 3*x + 2251 = 5*g + 17893. Is x a prime number?
True
Let m = -83 - 116. Let p(v) = -v**3 + 4*v**2 - 7*v. Let n be p(6). Let k = n - m. Is k a composite number?
True
Suppose 15 = f - 5*j, 2*f + j - 25 = 5. Is f/35 + 19500/21 a composite number?
False
Suppose 4*h + 74 + 10 = 4*n, -5*h = n + 123. Let y = 42 + h. Suppose -12 - y = -3*c. Is c a prime number?
False
Let h be (-15 - -1) + (0 - -1). Let n = 2 + h. Let b = n + 94. Is b composite?
False
Let d(n) be the third derivative of -13*n**7/560 + n**6/360 - 11*n**5/60 + 4*n**2. Let i(h) be the third derivative of d(h). Is i(-5) a prime number?
True
Suppose 0 = 4*m - 10*m + 30. Suppose -v - 5936 = -m*i, 632 = i - v - 556. Is i composite?
False
Suppose -53 + 38 = -5*y. Let s(o) = 11*o**3 - 2*o**2 + 2*o + 6. Is s(y) composite?
True
Suppose -2*u - 2*h = -10, -2*u + 0*h - h = -9. Suppose 3*r = 2*s - 425, -r + u*r = -s + 190. Is s composite?
True
Let c(w) = 13*w**2 + 2*w - 4. Let d be c(8). Suppose -13*f - d = -15*f. Is f composite?
True
Suppose -g - b = -19846, 2*g - 6*b = -3*b + 39667. Is g prime?
True
Let x(o) = o**2 - 6*o + 3. Let a be 9/1*(-12)/(-36). Let u be x(a). Is ((-7)/(-3))/(u/(-90)) prime?
False
Suppose -11*d + 7*d = 0. Suppose -4*w + d*w = 4*z + 12, z = 4*w - 13. Is 1055/z*(-1 + 0) prime?
True
Suppose 0 = -24*x + 58*x - 59636. Is x a composite number?
True
Let y(x) = x**2 + 9*x + 9. Let r be y(-8). Let n be (0 - 7) + 2 - r. Is (-380)/(-3) + (-2)/n a composite number?
False
Let j = 15 - -32. Suppose 4*s - 60 = 5*n + j, s = -5*n + 8. Let u = s + -12. Is u composite?
False
Suppose 0 = -5*a + 4*o + 4285, -3*a - 7*o + 2549 = -5*o. Is a prime?
True
Let z(b) = 5*b - 16. Let o be z(5). Suppose 0 = -o*c + 2438 - 431. Is c a prime number?
True
Suppose -5*v + 1895 = 5*m, 1516 = 4*m - 19*v + 15*v. Is m a prime number?
True
Let t be ((-5)/2)/(3/(-6)). Suppose t*l = -4*b + 691, -688 = -4*b - l - 3*l. Is b a prime number?
False
Let m = -578 - -6135. Is m composite?
False
Let v(n) = 55*n**2 + 6*n - 6. Is v(5) a prime number?
True
Let l(o) = 111*o + 9. Let g(m) = 14*m + 1. Let f(r) = 33*g(r) - 4*l(r). Suppose 0 = -29*k + 40*k - 55. Is f(k) prime?
False
Let c(a) = -4*a**3 - a**2 - a. Let s be c(-1). Suppose -4*d - 3909 = -5*g, -2*d + 235 = -s*g + 3367. Is g a composite number?
True
Let d = -97 - -92. Is 2/d + 44/10 - -115 a composite number?
True
Let s = 29100 - 16661. Is s a prime number?
False
Suppose 0*z + 3*f + 33 = -3*z, 0 = -z + 4*f + 14. Let u(h) = 20 - 17 - 11*h + 2*h - h**2. Is u(z) composite?
True
Let o = 11300 + -3393. Is o prime?
True
Is (-2 - 3671)*10*(-3)/6 composite?
True
Let w(n) = -2*n**2 + 6*n + 12. Let l be w(6). Let j be (-2 + l)*(-9)/(-2). Let q = j + 232. Is q prime?
False
Is 15/(-75)*(3 + -40738) a composite number?
False
Let q(u) be the second derivative of -33*u**5/20 + 5*u**4/12 + u**3/3 - 7*u**2/2 + 4*u. Is q(-3) composite?
True
Let n(g) = 8*g**2 + 7*g - 17. Let q be n(9). Suppose 2*k - 355 = -5*s + 327, k = 5*s - q. Is (4 - 6 - -5) + s composite?
True
Let a = -322 + 711. Is a prime?
True
Let g(t) = t**3 - 12*t**2 + 20*t + 4. Let c be g(10). Suppose u - 477 = 3*p + 239, 0 = -c*p - 12. Is u a prime number?
False
Suppose h - 1166 = c + 1477, 5*c = 5. Suppose -h = 5*k - 2*b, -3*k - 2104 = k + 4*b. Let z = 779 + k. Is z a prime number?
True
Suppose 0*x - 8 = 2*x + 4*h, -h - 29 = 5*x. Let b(f) = -221*f - 67. Is b(x) composite?
False
Is ((-367)/(-5))/(21/(-63))*-5 a prime number?
False
Let i(r) = -r - 2 + 3 + 0*r + 7*r**2 - r. Let y be i(1). Is ((-40)/y)/((-8)/12) composite?
True
Let z(t) = -t + 7. Let j be z(3). Suppose -o + j*o = 336. Let a = 315 - o. Is a a composite number?
True
Let r(t) = t**3 + 3*t**2 + 3*t. Let a be r(-2). Let w(p) = 78*p**2 - 5*p - 5. Is w(a) a prime number?
True
Let d be 9/3 + 0/(-2). Let w(u) be the third derivative of u**6/30 - u**5/20 - u**4/8 + 7*u**3/6 - 32*u**2. Is w(d) prime?
True
Suppose 3*r + 5*t + 3 = -r, 0 = 4*r - 5*t - 27. Let s be 3 + (r - 3) + -5. Is ((-1)/(-3))/(s/(-90)) composite?
True
Let v(y) = 282*y - 161. Is v(12) a composite number?
True
Let p(g) = 9*g**2 + 7*g + 13. Let i be ((-4)/5)/((-8)/(-60)). Is p(i) a prime number?
False
Let v(x) = 14014*x + 523. Is v(5) prime?
False
Let k(a) be the third derivative of a**5/60 - a**4/12 + 889*a**3/6 - 3*a**2. Is k(0) prime?
False
Suppose -3*a - 220051 = -4*l, 78*l - 75*l = 5*a + 165030. Is l composite?
True
Let u(l) = 250*l - 3. Let b(v) = v + 8. Let m be b(-6). Suppose -m*r = r - 6. Is u(r) prime?
False
Let z = -166 + 1548. Is z composite?
True
Suppose 0 = 6*y - 11*y - 20. Let r be (-3)/((-18)/y)*-3. Suppose 5*m + l - 108 = r*m, -2*l = 2*m - 68. Is m a composite number?
False
Let u be (804/(-10))/((-108)/17640). Suppose 9048 = 20*a - u. Is a prime?
True
Let m(a) = 33*a**2 - a + 2. Let r be m(-2). Let g(t) = 26*t + 21. Let h be g(-4). Let q = h + r. Is q a composite number?
False
Let c(r) = 197*r**2 + r + 1. Let b be c(-3). Suppose 12*l - b = 1409. Is l a prime number?
False
Suppose -n - 6*t - 4 = -t, 24 = n - 2*t. Let g be n/56 + 38/14. Suppose -g*m + 40 = | {
"pile_set_name": "DM Mathematics"
} |
value in -2/11, -1/5, -1/2, h?
-1/5
Let y = -455 + 459. Which is the second smallest value? (a) y (b) 0.07 (c) 1
c
Let o be 0 - (2/3 + 1). Let y = -0.136 - 5.764. Let f = -3.9 - y. Which is the biggest value? (a) -1 (b) f (c) o
b
Let c = -448 - -2249/5. What is the biggest value in -2/9, 9, 5, c?
9
Let u = -1/46 - 87/230. Suppose -2*z + 6*f = 2*f, 2*z = f - 3. Which is the biggest value? (a) 0 (b) u (c) z
a
Let p = -746.9 - -747. Let l = -2 - -1.9. Which is the third smallest value? (a) 9 (b) l (c) p
a
Let q = 57.87 + -68.6. Let j = q - 0.27. Let o = j - -10. What is the biggest value in 0.4, o, 0.2?
0.4
Let q be (4/48)/((-1)/(-4)). Let p = -0.15 - -3.15. What is the second smallest value in q, -0.2, p, -4?
-0.2
Let s = -3.08 - -2.6. Let p = -27.02 + s. Let x = 27 + p. Which is the smallest value? (a) 2/13 (b) x (c) 12
b
Let r = 56 + -16. Let l = r + -39.4. Which is the biggest value? (a) -3 (b) l (c) 2/5 (d) -2
b
Suppose 3*d + 4*a = -0*d - 30, 2*d - 4*a = 0. Let q = -2/39 - -8/39. What is the smallest value in d, q, -1/2?
d
Let l = -463 - -466. Let x = 0.16 - 8.16. What is the third biggest value in l, x, 1/2?
x
Let w be (2/(-33))/(9/(270/20)). Which is the biggest value? (a) w (b) 2/9 (c) -4/3 (d) -3
b
Let z = -198 - -201. Suppose -f - 8 = 4*f - 4*n, -n = 2*f - 2. Let h = f + -3. What is the biggest value in h, 1/3, z?
z
Let q = -1 + 6. Let s(x) = x**2 - 9*x + 4. Let w be s(8). Which is the third smallest value? (a) q (b) w (c) 4
a
Let f = 93.95 - 92. Let c = -0.05 - f. What is the second smallest value in c, -1, -0.4, 2?
-1
Let r = -18 - -17. Let f = 26/3 - 107/12. What is the third smallest value in f, r, -2, -5?
r
Let p = -928 + 929. What is the third smallest value in -1/2, 5, p?
5
Let n = 662.8 + -663. Which is the smallest value? (a) n (b) -0.01 (c) -0.5 (d) 5
c
Let k be ((-9)/18)/(2/40). Let d = k - -15. Suppose -3*a - 6 = 9. What is the third smallest value in d, a, 0.5?
d
Let r = -204 - -138. Let v = 66.5 + r. Which is the smallest value? (a) -0.1 (b) -25 (c) v (d) 5
b
Let k = -1333 - -1332.8. Which is the second smallest value? (a) -1/3 (b) -49 (c) k
a
Let x = -7 - -6. Let y = -0.75 - -0.75. Let t = -2 - -9/5. Which is the second biggest value? (a) x (b) t (c) y
b
Let g = -0.93 - -78.93. Let x = g + -78.5. Suppose 10 = 2*n, -2*n + 23 = -i + 3*n. Which is the third smallest value? (a) x (b) i (c) -0.4
b
Let d = -7 + 10. Let t(l) = -8*l + d*l + 4*l. Let k be t(4). Which is the third smallest value? (a) k (b) -3 (c) 1/3
c
Suppose 3*k + 28 = 5*o, -4*o = -0*o - 3*k - 23. Let l = 212 - 209. Which is the third smallest value? (a) 8 (b) l (c) o
a
Suppose 79 = 46*n - 105. What is the third smallest value in n, -3, 13?
13
Let x = -9 - -8.2. Let n = 29 - -28. Let q = 57.1 - n. Which is the third biggest value? (a) -0.1 (b) x (c) q
b
Let i be 9 - (-1)/(2/(-2)). Let w = -18.25 - -18. Let u = 0.25 - w. What is the second smallest value in 2, i, u?
2
Let u = 12 - 49/4. Let m = 3.874 - -0.126. What is the second smallest value in m, u, 2/3?
2/3
Let a be (-2)/(-3) - (66/27*1 - 2). Let p be (2 - 0)*(-3)/(-8). What is the second biggest value in 2, a, p?
p
Let p be (7/(70/(-6)))/(0 + 1). Let v be (-158)/(-180) + 4/18. Let z = p + v. Which is the second smallest value? (a) z (b) -3 (c) 3
a
Let s = 8.5 - 8.4. Which is the fourth biggest value? (a) s (b) -0.08 (c) -2/3 (d) 6
c
Let d(c) = 8*c**2 + 2*c - 23*c**2 + 4 + 14*c**2. Let w be d(3). Let p = -0.34 + 0.24. What is the biggest value in w, 0, p?
w
Let y be (1/6)/((-45)/23160). Let s = y - -12097/36. Let h = 249 - s. What is the third smallest value in 1, h, -3?
1
Let h = 3488/3263 - -2/251. Which is the second biggest value? (a) 3 (b) h (c) -1
b
Let y(x) be the first derivative of -x**4/4 + 5*x**3/3 + 7*x**2/2 - 10*x - 43. Let k be y(6). What is the third biggest value in k, -0.05, 0?
k
Let l = 29 - 25. Let k be l/6 - 160/132. Let z = k - -52/55. What is the second smallest value in -0.1, z, -4?
-0.1
Let z(g) = -g - 6. Let v be z(-1). Let c be ((-9)/12)/(15/8). What is the third smallest value in 8, v, c?
8
Let u = 1657/6755 + 39/965. Let g = 192/35 + -44/7. What is the second biggest value in g, -2/5, u, -1/2?
-2/5
Let r be (-2)/(12 - 152/16). Which is the smallest value? (a) r (b) -3/4 (c) -2 (d) 0.04
c
Let w = 15 - 14.1. Let z = 0.01 + 0.09. Let k = z + w. Which is the third smallest value? (a) k (b) 5 (c) -2
b
Let i = 10/9 - 4/9. Suppose -2*p - 3*f - 11 = 0, p + 4*f = 17 - 35. What is the third biggest value in p, i, -2/3?
-2/3
Let x = -406 - -411. What is the biggest value in 1/6, 3, x, -0.5?
x
Let o = -89.042 + 0.042. Let d = o + 89.5. What is the smallest value in d, -4, -4/11, 5?
-4
Suppose -k - 5*a - 6 + 16 = 0, 0 = -2*k + 2*a - 4. Let o be 33/27 + (k - 1). Let g = -14 - -57/4. What is the second biggest value in -0.5, o, g?
o
Let i = 0.08 + -1.08. Let z(w) = 4*w**2 - 3*w + 1. Let t be z(3). Let d be (-2)/5 - t/(-105). What is the second smallest value in d, i, -4?
i
Let k = 43 + -39. Suppose 2*p = 5*r + 5, -p + 2*r = -r - 4. Let g = p + k. Which is the third biggest value? (a) 4 (b) -3/4 (c) g
c
Let n(y) = 5*y**3 + 2*y**2 + 2*y - 2. Let k be n(-2). Let z be (2 + k/18)*-6. Let q = 41 - 371/9. Which is the biggest value? (a) z (b) q (c) 3/5
a
Let d = 337 + -328. Which is the biggest value? (a) -3 (b) d (c) -3/2
b
Let k = 0.3 + -4.3. Suppose -3*i = 3*i - 60. Let y be 0 - 1 - i/(-6). Which is the smallest value? (a) 2/19 (b) y (c) k
c
Suppose -17 = -4*s + f, 7*s - 6*s + 2*f - 2 = 0. Suppose -3*n - 2*n - 20 = 0. Which is the second smallest value? (a) -2 (b) n (c) s
a
Let g be (-10)/(-55) - (-5)/(-88). Let d = -10 + 65. Let y = 115/2 - d. Which is the biggest value? (a) y (b) g (c) -2/3
a
Let q = -0.13 + 0.04. Let a = q + 1.59. Let c = -1.5 - a. What is the smallest value in c, 0, 2/3?
c
Let i = -5.4 - -8.1. Let h = i - 2.6. What is the biggest value in -1, -4, -3, h?
h
Let t = 0.724 + -0.424. Which is the third smallest value? (a) t (b) 98 (c) 1/6
b
Let h = -27 + 31. Let t be h/(-102)*6/2. What is the third smallest value in 0.5, t, 4?
4
Let b = 259 + -8549/33. What is the second smallest value in b, -1/4, 3, 1/6?
b
Let m = 1332 + -1330. Suppose s = -2*s - 3. What is the biggest value in s, m, 4?
4
Let w be (-2 - 42/(-12))*10/195. What is the fourth smallest value in w, 0.4, 7, -1?
7
Let b = 1520 - 1523. Let f = 0.2 + -0.4. What is the third smallest value in -1.1, f, b?
f
Let v = -1/7628 + 477/1907. Let l = 2 + -3. Suppose 0 = -4*u - 0*u + 12. What is the smallest value in l, v, u?
l
Suppose 6 = 4*l - 2*q, 4*l + 4*q + 19 = q. Which is the third smallest value? (a) l (b) 18 (c) 1/2
b
Let q(s) = -s**2 + 11*s + 64. Let l be q(-4). Which is the biggest value? (a) -0.3 (b) -2/7 (c) l
c
Let w be 3/(-9) + 472/264. Let k = 1/465 + -8381/5115. Let n = w + k. Which is the biggest value? (a) -0.2 (b) n (c) 4
c
Let w = -3.84 + 1.54. Which is the second smallest value? (a) w (b) 0.1 (c) 2
b
Let n(a) = a**2 + 2*a + 1. Let p be n(-1). Suppose p = 2*z + 2*z. Let f be 0/5 + 3/(-7). What is the smallest value in z, 5, f?
f
Suppose -2*f = 11 + 7. Let s = -43 - 13. Let y be 3/5 + 5/(50/s). Which is the smallest value? (a) f (b) y (c) 3/2
a
Let n(m) be the third derivative of m**6/30 - m**4/24 - m**3/6 + 5*m**2. Let d be n(-1). Let b = d + 9. What is the third biggest value in 1/2, b, 1?
1/2
Let a = 3.4 + -1.4. Let x = 2.2 - a. What is the third biggest value in 0, x, 0.3?
0
Let h = -3.5 + 3.6. Let a = h - 4.1. Let w be (-1 + (-27)/(-21))/(-1). What is the biggest value in w, 0.2, a?
0.2
Let p = -1280/9 - -142. Let h = -0.135 - 0.465. What is the second smallest value in 0.1, p, h?
p
Let h = 1130/9 + -126. Suppose -387 = 3*o - 75. Let i be (-16)/o + 2/(-13). Which is the second smallest value? (a) 0.3 (b) h (c) i
c
Let n be 33/132 + 6*(-5)/(-8). What is the second biggest value in -7, n, -0.1, 0?
0
Let c = 358 - 360. What is the second biggest value in c, -1/13, 3?
-1/13
Let u = 34 - 33.66. Let a = u - 2.34. What is the second biggest value in a, -0.9, 3?
-0.9
Let n = 50677/7 + -289601/40. Let u = n + 3/56. Which is the biggest value? (a) 5 (b) 4/9 (c) u
a
Let o = -651 - -652. What is the fourth smal | {
"pile_set_name": "DM Mathematics"
} |
= -3*w**2 - 483*w. Determine n(p(y)).
-12*y**4 + 966*y**2
Let p(d) = -21*d. Let h(b) be the second derivative of -5*b**4/6 + 5*b + 48. Calculate h(p(r)).
-4410*r**2
Let k(o) = 7*o + 1. Let n(b) = -37*b. Give n(k(y)).
-259*y - 37
Let s(l) = -24*l**2 + 67*l. Let t(b) = -16*b. What is t(s(f))?
384*f**2 - 1072*f
Let m(c) = -3*c**2. Let v(o) = -1829868*o**2. Give v(m(t)).
-16468812*t**4
Let m(x) = 2*x. Let q(z) be the first derivative of -z**6/360 - 13*z**3/3 - 9. Let n(g) be the third derivative of q(g). What is n(m(r))?
-4*r**2
Let r(p) = -5*p - 16*p + 23*p. Let c(f) = 7*f**2. Let w(g) = -7*g**2. Let s(x) = -7*c(x) - 6*w(x). Give s(r(d)).
-28*d**2
Let r(m) = 2*m**2. Let s(w) = w**3 + 12*w**2 - 3*w - 30. Let k be s(-12). Let i(h) = k*h - 2*h - 6*h - 3*h. What is i(r(f))?
-10*f**2
Let l(v) = 41*v**2. Suppose 5*u = -5*x + 340, 2*x + 201 = 3*u + 6*x. Let h(y) = u*y**2 + 64*y**2 - 200*y**2 + 67*y**2. Give h(l(g)).
3362*g**4
Let q(j) = j - 5. Let d(c) = -136*c - 44. Give d(q(y)).
-136*y + 636
Let j be (6/(-15))/(8/(-400)). Let f(k) = j*k + 10*k - 34*k. Let q(p) be the first derivative of p**2 - 1. Calculate f(q(g)).
-8*g
Let h(m) = -51*m. Let a(r) = 55*r**2 + 44*r + 66. Let c(l) = -18*l**2 - 14*l - 21. Let s(b) = 7*a(b) + 22*c(b). What is s(h(f))?
-28611*f**2
Let b(k) = -110*k + 108. Let d(z) = z. Calculate d(b(r)).
-110*r + 108
Let b(h) be the second derivative of h**4/4 + h. Let q(c) be the second derivative of -c**4/4 + 516*c. Determine b(q(k)).
27*k**4
Let m(x) = -15*x**2 + 17*x. Let w(z) = -3940*z. Determine m(w(n)).
-232854000*n**2 - 66980*n
Let p(r) = -2*r**2 + 33 + 3*r**2 - 307. Let n(z) = -z**2. Determine p(n(l)).
l**4 - 274
Let i(x) = -10*x - 14*x + 3*x + 4*x. Let y(h) be the first derivative of -h**3/3 + 5. Give i(y(m)).
17*m**2
Let f(x) = 36*x. Let y(a) = -1179*a**2. What is y(f(j))?
-1527984*j**2
Let c(f) = -2*f**2 - 1. Let k(y) = 2878*y**2. What is k(c(m))?
11512*m**4 + 11512*m**2 + 2878
Let r(m) = 217*m + 62*m + 189*m + 265*m - 1065*m. Let f(p) = -2*p. What is f(r(u))?
664*u
Let v(a) = -388*a**2 - 2. Let c(z) = -9*z**2. Calculate v(c(d)).
-31428*d**4 - 2
Let y(s) be the first derivative of -17*s**2/2 + 300. Let o(z) = 13*z. Calculate o(y(g)).
-221*g
Let c(z) = 1. Let q(m) = -5*m - 4. Let t(p) = -6*c(p) - q(p). Let j(s) = -12 + 12 + s**2. Calculate j(t(n)).
25*n**2 - 20*n + 4
Let m(v) = 5*v. Let q(i) = 8*i - 18*i - 25*i - 25*i. Calculate m(q(p)).
-300*p
Let t(h) = 18*h**2. Let l(j) be the third derivative of -j**5/10 - j**2 + 28*j. Determine t(l(v)).
648*v**4
Let i(v) = 90*v + 37*v + 179*v - 51*v. Let l(g) = g. Determine l(i(y)).
255*y
Let f(r) = -7*r. Let l(v) = -v + 18. Let s be l(17). Let o be s/(-2) - 30/(-12). Let b(g) = 2 - o*g - 2 + 0*g. Determine f(b(a)).
14*a
Let d(x) = 31*x. Let w(c) = -142*c - 1. What is d(w(j))?
-4402*j - 31
Let h(p) = -p**2 + 14. Let z(l) be the second derivative of 1/12*l**4 + 0*l**2 + 0 + 0*l**3 + 5*l. What is h(z(q))?
-q**4 + 14
Let u(z) be the third derivative of -z**4/24 + 4*z**2. Let h(y) be the first derivative of 0*y + 0*y**2 + 13 + 1/3*y**3. What is h(u(t))?
t**2
Let i(b) = b. Let k(c) = 12*c - 1409. Give i(k(h)).
12*h - 1409
Let t(n) = 5*n. Let y(d) = -6917*d. Give y(t(g)).
-34585*g
Suppose 3*z = 2*z + 7. Let b be 50/18 - 10/(-45). Let o(v) = -9*v**2 + b*v**2 + z*v**2. Let u(d) = 6*d**2. Determine o(u(t)).
36*t**4
Let o(m) = 2*m. Let p(f) be the second derivative of 0 - 23/24*f**4 + 1/2*f**2 + 0*f**3 - 9*f. Let q(l) be the first derivative of p(l). What is o(q(v))?
-46*v
Let b(q) = -2*q**2 + 7. Let f = 38 - 29. Let g(a) = 23*a**2 - f*a**2 - 15*a**2. What is b(g(n))?
-2*n**4 + 7
Suppose 6*j = j + 30. Let g(x) = -4*x + 14*x - 2*x - j*x. Let u(f) = 5*f**2 - 3 + 3. What is g(u(y))?
10*y**2
Let g(x) = 7*x**2. Let f(t) = 3*t - 2. Let j(i) = 37*i**2 + 17*i - 10. Let d(c) = -5*f(c) + j(c). Give d(g(s)).
1813*s**4 + 14*s**2
Let x(m) = 18*m**2 - 2*m + 0*m + 2*m. Let c(t) be the third derivative of -t**5/30 - 29*t**2 - 4. Determine c(x(r)).
-648*r**4
Let h(a) = 2*a. Let f(k) = -16968*k. Determine f(h(l)).
-33936*l
Let b(z) = 59*z**2 + 1. Let p(j) = -18*j - 50. Let a(g) = -143*g - 390. Let k(q) = 5*a(q) - 39*p(q). What is k(b(d))?
-767*d**2 - 13
Let w(t) = t**2. Let n(f) = -3*f**2 + 53*f**2 - 3*f**2 + 10*f**2. Determine n(w(a)).
57*a**4
Let i(o) = -26*o - 2*o + 5*o. Let j(r) = -7*r**2. Calculate i(j(m)).
161*m**2
Let l(s) = -28*s**2. Let m(z) = 451 + 5*z**2 - 6*z**2 - 451. Determine m(l(t)).
-784*t**4
Let b(s) = 6*s**2 + 49*s**2 - 53*s**2. Let n(a) = -21*a**2 + 15*a + 15. Let r(d) = 5*d**2 - 4*d - 4. Let f(q) = -4*n(q) - 15*r(q). Calculate f(b(k)).
36*k**4
Let q(r) be the first derivative of r**3 - 384. Let b(j) = -12*j**2. What is q(b(x))?
432*x**4
Let a(r) = 6028682*r. Let h(x) = -x**2. Calculate h(a(k)).
-36345006657124*k**2
Let s(h) = -683*h. Let o(q) = -19*q - 6. Let j(z) = -3*z - 1. Let t(i) = -6*j(i) + o(i). What is t(s(b))?
683*b
Let r(a) = -381*a - 3494. Let m(p) = -p. Calculate r(m(c)).
381*c - 3494
Let w(i) = 7*i**2. Let f = -1 + 0. Let c(p) = 30. Let d(x) = 17. Let g(l) = 4*c(l) - 7*d(l). Let j(s) = -2*s + 4. Let t(v) = f*j(v) + 4*g(v). Give t(w(m)).
14*m**2
Let n(d) = -504*d + d**2 + 504*d. Let w(l) be the first derivative of -l**5/15 - 3*l**2/2 - 1. Let s(z) be the second derivative of w(z). What is s(n(p))?
-4*p**4
Let d(m) be the second derivative of -13*m**3/3 + m**2 + 10*m. Let c(q) = 2*q**2 - 4*q**2 + 0*q**2 + q**2. Give c(d(y)).
-676*y**2 + 104*y - 4
Let h(z) = 18*z + 8. Let p(f) = 16*f + 10. Let d(m) = -5*h(m) + 4*p(m). Let x(t) = 16*t. Determine d(x(l)).
-416*l
Let n(w) = 447 - 447 + 2*w. Let u(m) = 5*m - 5. Determine u(n(s)).
10*s - 5
Let y(m) be the third derivative of 7*m**4/24 - 2*m**2. Let k(o) = 16*o. Let h(z) = -5*z. Let r(v) = 10*h(v) + 3*k(v). Calculate r(y(j)).
-14*j
Let a(z) = -6*z**2. Let w(n) = 2469*n**2 + 10*n - 2. Determine w(a(v)).
88884*v**4 - 60*v**2 - 2
Let u(f) be the first derivative of -f**2/2 - 287. Let i(q) = 357*q**2. What is i(u(g))?
357*g**2
Let o(r) be the third derivative of 13*r**4/24 - 5*r**2. Let x(t) be the first derivative of t**2 - 50. What is x(o(f))?
26*f
Let r(n) = n**2. Let q(l) = -4 + 2 + 1 - l. Let u(t) = t**2 - 7*t - 7. Let f(d) = 35*q(d) - 5*u(d). Determine r(f(m)).
25*m**4
Let l(r) = r. Let z = 12 + -8. Suppose -g = 5*j - 78, 7*j - 4*j + z*g - 40 = 0. Let w(n) = -37*n**2 + 16*n**2 + j*n**2. Give l(w(t)).
-5*t**2
Let q(u) = 4*u. Let w(s) be the third derivative of -91*s**4/12 - 645*s**2. Calculate w(q(h)).
-728*h
Let c(n) = 8*n**2 - 24. Let w(m) = 15*m**2 - 44. Let b(r) = 11*c(r) - 6*w(r). Let j(x) = -50*x. Calculate j(b(g)).
100*g**2
Let l(j) = -8147*j + 2038*j + 2035*j + 2041*j + 2037*j. Let y(r) be the second derivative of -r**4 - r. Calculate l(y(b)).
-48*b**2
Let p(c) be the second derivative of 8*c**3/3 + 247*c + 2. Let b(z) = -8*z**2. What is b(p(t))?
-2048*t**2
Let x(t) = 3*t. Let v(z) = -15*z + 4. Let p(l) be the third derivative of 31*l**4/24 - 5*l**3/3 + 13*l**2. Let j(h) = 2*p(h) + 5*v(h). Give j(x(c)).
-39*c
Let m(f) = 2*f. Let l(t) = 441*t**2 - 5. What is m(l(g))?
882*g**2 - 10
Let l(v) = 83*v - 2. Let n(i) = 10*i**2 - 11*i. Let p(s) = -2*s**2 + 2*s. Let y(h) = -2*n(h) - 11*p(h). What is y(l(g))?
13778*g**2 - 664*g + 8
Let a(k) = -3*k. Let s(o) = o + 73601. Give a(s(m)).
-3*m - 220803
Let c(b) be the second derivative of 1/6*b**3 + 0*b**2 + 0 - 8*b. Let h(m) = 14*m**2. Give c(h(w)).
14*w**2
Let g(y) = 6*y. Let x(j) = -4*j - 16502. Calculate x(g(c)).
-24*c - 16502
Let k(u) = 40*u**2 + 0*u - 2*u + 0*u - 17*u**2 - 9*u**2. Let m(r) = -5*r. Give m(k(c)).
-70*c**2 + 10*c
Let n(j) be the first derivative of j**3 - 424. Let q(g) = g**2 + 6*g. What is n(q(r))?
3*r**4 + 36*r**3 + 108*r**2
Let b(j) = -j. Let z(w) be the second derivative of -41*w**4/12 - 11*w**2/2 + 6*w. Let s(u) = 8*u**2 + 2. Let q(o) = 11*s(o) + 2*z(o). Calculate q(b(i)).
6*i**2
Let x(v) = v + 562. Let u(o) = -319*o + 2. Calculate u(x(i)).
-319*i - 179276
Let y(w) = 1051454*w**2. Let j(q) = -2*q. Give j(y(k)).
-2102908*k**2
Let z(s) = -3*s**2. Let w(d) = -d**2 + 7. Give z(w(j)).
-3*j**4 + 42*j**2 - 147
Let r(w) = -37039*w. Let k(f) = -2*f**2. Determine k(r(h)).
-2743775042*h**2
Let f be -2 + 35/15 + (-7)/21. Let p(a) be the second derivative of 0 + 1/12*a**4 + f*a**3 + | {
"pile_set_name": "DM Mathematics"
} |
) be the first derivative of -48*s**5/5 + s**3 + 6*s**2 + 111. What is the third derivative of n(w) wrt w?
-1152*w
Let m(o) be the first derivative of 7*o**3 + 0*o**5 + 0*o - 12/7*o**7 + 0*o**2 + 0*o**4 + 13 + 0*o**6. What is the third derivative of m(s) wrt s?
-1440*s**3
Let j be 10/5*(-93)/(-6). Find the third derivative of j*v**4 + 18*v**2 + 565*v**3 - 565*v**3 wrt v.
744*v
What is the second derivative of -48*i**4 + 4 - 9*i - 18*i - 37*i**4 + 24*i wrt i?
-1020*i**2
What is the third derivative of 329*s**4 - 1167682*s**2 + 1167363*s**2 - 830*s**4 wrt s?
-12024*s
Let f(z) be the first derivative of -z**4/4 + 199*z**3 - 612*z + 511. What is the derivative of f(j) wrt j?
-3*j**2 + 1194*j
Let c(g) be the third derivative of -g**7/35 + g**6/24 - g**4/24 - 10*g**3/3 + 80*g**2. Find the second derivative of c(x) wrt x.
-72*x**2 + 30*x
Let f(p) be the third derivative of -p**4/24 - p**3/6 + 7*p**2. Let i(a) = 11*a**4 - 6*a + 14. Let b(o) = -6*f(o) + i(o). What is the derivative of b(u) wrt u?
44*u**3
Find the second derivative of 11*w**2 + 24*w - 10*w**2 + 3*w**3 - 2*w**2 wrt w.
18*w - 2
What is the second derivative of -7*m**5 + 3*m - 4*m**5 + 28*m - m**4 + m wrt m?
-220*m**3 - 12*m**2
Let l(f) be the first derivative of -28*f**4 - 124*f**2 + 1. What is the second derivative of l(d) wrt d?
-672*d
Let l(a) be the second derivative of 79*a**7/42 + 11*a**4/6 + a**3/3 + 79*a. What is the third derivative of l(p) wrt p?
4740*p**2
Let z(g) be the third derivative of -43*g**7/30 + 17*g**3/2 - 563*g**2 + 2*g. What is the first derivative of z(s) wrt s?
-1204*s**3
Find the second derivative of 132 - 6*r**3 - 6*r + 2*r**3 - 16*r**2 - 121 wrt r.
-24*r - 32
Let t(z) = z**6 + z**5 + z**3 - z**2 - z - 1. Let j(q) = 49*q**6 + q**3 - 14*q**2 - q - 1. Let r(y) = 2*j(y) - 2*t(y). Find the third derivative of r(h) wrt h.
11520*h**3 - 120*h**2
Let d(w) = -1786*w**2 + 169*w + 6. Let f(h) = -357*h**2 + 33*h + 1. Let r(a) = 2*d(a) - 11*f(a). What is the second derivative of r(b) wrt b?
710
Let t(n) be the first derivative of n**5/10 + 17*n**4/24 + 9*n**2 + 31. Let f(z) be the second derivative of t(z). What is the second derivative of f(u) wrt u?
12
What is the second derivative of 49*s + 38 - 38 + 39*s**3 - 2*s**2 wrt s?
234*s - 4
Suppose 2*u + c - 262 = 4*c, 0 = -5*u - 5*c + 630. Find the second derivative of -23*r**4 - 32*r - 36*r + u*r - 40*r wrt r.
-276*r**2
Suppose g = 5*u + 4*g - 20, 36 = 3*u - 3*g. Let l = 9 - u. Find the second derivative of l - 2 + 4*x**2 - 3*x**2 - 5*x wrt x.
2
Let u = -9 + 12. What is the first derivative of 34*a**u - 21 - 2 - 8*a**3 + 2*a**3 wrt a?
84*a**2
Suppose 2*l = -4, 0 = c - l - 234 - 172. Find the third derivative of 3*j**6 + 3*j**4 + j**6 + 451*j**2 - c*j**2 wrt j.
480*j**3 + 72*j
Let t = 5 + 1. Let k = t - -2. What is the third derivative of 4*x**4 - k*x**2 + 4*x**2 - x**2 wrt x?
96*x
Let l(h) be the second derivative of 0*h**6 + 0*h**2 - 1/21*h**7 + 0*h**3 - 11/6*h**4 + 18*h + 0*h**5 + 0. Find the third derivative of l(u) wrt u.
-120*u**2
Suppose -3*w = -0*w + 3*w. Let u(c) be the first derivative of 0*c**3 + c**2 + 5/4*c**4 + w*c + 6. What is the second derivative of u(j) wrt j?
30*j
Suppose -9*w - 2 = -10*w. Find the second derivative of -3*n**2 + 9*n**w - 12*n**2 + 40*n**2 + 4*n wrt n.
68
Let k(b) be the third derivative of -5*b**5/4 - 113*b**4/24 + 17*b**2 + b. Find the second derivative of k(u) wrt u.
-150
Differentiate -121 - 20 - 7*q**2 - 82*q**2 - 23*q**2 with respect to q.
-224*q
Let l = -14 - -16. Suppose h = 6*h - 10. Find the second derivative of 0*g + 3*g**l - g**h - 2*g - g**2 wrt g.
2
Let m = 23 - 20. What is the derivative of -4*s**3 + 5*s**3 - 14*s**m - 7 wrt s?
-39*s**2
Let c be 0*(-5 + 136/28). Let r(s) be the first derivative of -s**3 + 3/4*s**4 + 0*s**2 - 4 + c*s. What is the third derivative of r(h) wrt h?
18
Let u(y) be the first derivative of 899*y**5/5 + 564*y - 818. What is the first derivative of u(z) wrt z?
3596*z**3
Let s(f) be the second derivative of 0*f**2 + 0*f**3 - 16*f + 0 + 11/6*f**4 - 3/5*f**5. What is the third derivative of s(p) wrt p?
-72
Let s(p) be the first derivative of -17*p**3 + 170*p - 80. Find the first derivative of s(x) wrt x.
-102*x
Let t be -4 - -4 - 1 - 10. Let b = t + 16. Find the second derivative of -24*c**5 - 14*c + 30*c**5 + b*c wrt c.
120*c**3
Let p(d) be the first derivative of 7*d**6/120 - d**4/3 - 6*d**3 - 33. Let k(g) be the third derivative of p(g). Differentiate k(z) with respect to z.
42*z
Let m(s) be the second derivative of s**6/6 + s**5/5 + 26*s**4/3 + 2*s + 26. Find the third derivative of m(t) wrt t.
120*t + 24
Let l(m) = -12*m**3 - 52*m**2 + 1029*m - 1029*m - 9. Let q(j) = 3*j**3 + 13*j**2 + 2. Let z(h) = 2*l(h) + 9*q(h). What is the third derivative of z(v) wrt v?
18
Let z = -9 - -19. Let a = z + -8. What is the derivative of 3 - 2 - 10*x + 7*x - a wrt x?
-3
Let n(k) be the second derivative of -5*k**3/3 - 2*k. Let s(v) = -v**4 - 19*v. Let q(p) = -5*n(p) + 3*s(p). What is the second derivative of q(f) wrt f?
-36*f**2
Suppose -4*u - 35 = -9*u. Find the third derivative of 4*m**2 + 5*m**2 + 18*m**3 + u*m**2 - 19*m**2 wrt m.
108
Let h(g) = 9*g**4 - 5*g**3 + 25*g**2 + 5*g. Let x(j) = 5*j**4 - 2*j**3 + 13*j**2 + 2*j. Let b(z) = 2*h(z) - 5*x(z). Find the third derivative of b(p) wrt p.
-168*p
Suppose 3*i = 9 + 3. Find the third derivative of l**4 + 4 + 2*l**2 - i wrt l.
24*l
Let j(c) = c**4 + c**2 + 3*c - 1. Let s(o) = 182*o**4 + 4*o**2 + 12*o - 188. Let d(l) = -4*j(l) + s(l). Find the first derivative of d(f) wrt f.
712*f**3
Let f(r) = r**3 + 4*r**2 - r - 3. Let l be f(-3). Let i be (18/(-10))/((-3)/15). Find the third derivative of l*g - 2*g**5 - i*g + g**2 wrt g.
-120*g**2
Find the second derivative of -44*l + 32*l - 5 + 49*l**2 + 10 wrt l.
98
Let s be ((-5)/(-15))/(2/12). Differentiate y + 16*y + 3 - 9 - s*y wrt y.
15
Let d = -140 - -143. Find the third derivative of 8*q**3 - 9*q**d - 6*q**3 - 34*q**2 - 5*q**3 wrt q.
-72
Let l(k) be the third derivative of 0*k**5 + 0*k**7 + 2/3*k**4 + 0*k**3 + 0*k**6 + 1/48*k**8 + 0*k + 0 + 23*k**2. Find the second derivative of l(o) wrt o.
140*o**3
Let t = 35 + -25. Find the third derivative of -40*h**4 + 87*h**4 + t*h**2 - 43*h**4 wrt h.
96*h
Let q(v) = -v**2 - 6*v - 2. Let k be q(-5). Find the first derivative of 22 + 7 + 26*p**3 - 15*p**k - 10*p**3 wrt p.
3*p**2
Let r(g) = g - 8. Let b be r(11). Let j = 6 - b. What is the third derivative of -j*d**2 + 17*d**4 - 4*d**2 + 3*d**2 - 15*d**4 wrt d?
48*d
What is the second derivative of -3 + 3 - 200*z - 28*z**3 + 0*z**3 - 32*z**3 wrt z?
-360*z
Suppose 0 = 5*x + 6*x - 33. What is the third derivative of 13*i**3 + 0*i**3 - 5*i**2 + 14*i**3 - 5*i**x wrt i?
132
Let n be ((0 + 0)/(-2))/(-2). What is the derivative of 12 + 4*y**2 + n - 3*y**2 + 0*y**2 wrt y?
2*y
Let h(p) = -2*p**2 + 7*p - 14. Let z(q) = -q**2 + q + 1. Let u(w) = h(w) - 3*z(w). Let n be u(-8). Differentiate 3 - 6*k**4 + n*k**4 + 0*k**4 with respect to k.
36*k**3
Let u(a) be the first derivative of -a**2 - 9*a - 56/3*a**3 - 17. What is the second derivative of u(c) wrt c?
-112
Let c = -149 - -154. Let q(n) be the first derivative of 0*n**4 - 2/3*n**6 - n**2 + 0*n**3 + 0*n**c - 3 + 0*n. What is the second derivative of q(w) wrt w?
-80*w**3
Let w(b) be the third derivative of -5/2*b**3 + 0 - 6*b**2 - 5/8*b**4 + 0*b. Differentiate w(i) with respect to i.
-15
What is the third derivative of -3*w**2 + 20*w**6 - 4*w**5 - 2*w - 7*w**5 + 11*w**5 wrt w?
2400*w**3
Suppose s + 3*s = 2*f + 52, 3*f = 2*s - 30. Differentiate s + 2*h - 2 + 17 - 13 wrt h.
2
What is the second derivative of -257*k**5 - 210*k + 32*k - 42*k**5 + 84*k - 244*k wrt k?
-5980*k**3
What is the first derivative of -4*z - 56*z + 38 - 79*z - 9*z - 4*z wrt z?
-152
Let i(d) be the first derivative of 2*d**7/21 + 11*d**4/12 - 6*d - 13. Let h(s) be the first derivative of i(s). What is the third derivative of h(r) wrt r?
240*r**2
Let u(m) = 5*m**4 - 9*m**3 - 5*m + 25. Let l(f) = 11*f**4 - 18*f**3 - 11*f + 51. Let v(t) = -2*l(t) + 5*u(t). What is the second derivative of v(a) wrt a?
36*a**2 - 54*a
Let n(k) be the second derivative of -k**6/6 + 11*k**5/20 - 7*k**4/12 + 15*k**2/2 + 223*k. Find the third derivative of n(j) wrt j.
-120*j + 66
Let d(w) be the first der | {
"pile_set_name": "DM Mathematics"
} |
))**2*3 + (sqrt(209)*-1)/sqrt(11).
-sqrt(19) + 513
Simplify sqrt(13) - (-6*-3*sqrt(13))**2 - (0 + (sqrt(13) - sqrt(91)/sqrt(7))).
-4212 + sqrt(13)
Simplify (1 + (-1*sqrt(39)*-5)/sqrt(3))**2*2.
20*sqrt(13) + 652
Simplify sqrt(21)/(-2*sqrt(3)) - (-1 + sqrt(7) + -1).
-3*sqrt(7)/2 + 2
Simplify -5 + sqrt(19) + (sqrt(76) - -2*sqrt(76))/sqrt(4) - (sqrt(1900) + 0)*5.
-46*sqrt(19) - 5
Simplify -2*(sqrt(2299) + 2 + sqrt(2299)*-1).
-4
Simplify 1 + sqrt(5) + 1 + -3*sqrt(80).
-11*sqrt(5) + 2
Simplify (sqrt(7) + 3 + sqrt(7))*-3 + 3*sqrt(112).
-9 + 6*sqrt(7)
Simplify -4 + ((sqrt(24)*-1)/sqrt(12))**2.
-2
Simplify (sqrt(72)/sqrt(4)*2)/sqrt(6).
2*sqrt(3)
Simplify 2*(sqrt(13) - (sqrt(637) - (5*sqrt(637) - sqrt(637)))).
44*sqrt(13)
Simplify (sqrt(114)/(sqrt(42)/sqrt(112)))**2 + (sqrt(57) - (-1*sqrt(57) - sqrt(57))*1)/sqrt(3).
3*sqrt(19) + 304
Simplify ((sqrt(32) + -1)*-6*5)**2.
-7200*sqrt(2) + 29700
Simplify sqrt(1088)*-4 + sqrt(612)*-1 + sqrt(17).
-37*sqrt(17)
Simplify (5 + sqrt(704)*-1)**2 + sqrt(110)/(sqrt(30)/sqrt(3)*-3).
-241*sqrt(11)/3 + 729
Simplify (sqrt(1216)*-2)**2*-2.
-9728
Simplify sqrt(432)/(sqrt(9)*-1*1).
-4*sqrt(3)
Simplify (sqrt(1872) + -2)*-5 - sqrt(1872).
-72*sqrt(13) + 10
Simplify ((sqrt(140) - (-2*sqrt(140) + sqrt(140)))/sqrt(10))/sqrt(7) + 3 + 1.
2*sqrt(2) + 4
Simplify -4 + 0 + sqrt(396).
-4 + 6*sqrt(11)
Simplify -4 + (sqrt(5)*-1)**2 + 4.
5
Simplify (sqrt(152)/(sqrt(32)/(-2*sqrt(4))) - (1 + sqrt(1539) + 0))**2.
22*sqrt(19) + 2300
Simplify sqrt(56)/((1*sqrt(88))/sqrt(11))*-2 + 4.
-2*sqrt(7) + 4
Simplify sqrt(396)/sqrt(4)*4.
12*sqrt(11)
Simplify (-4 + sqrt(363) + 0)**2.
-88*sqrt(3) + 379
Simplify (sqrt(3087) - -1*sqrt(3087))/(sqrt(9) + sqrt(324)*6).
14*sqrt(7)/37
Simplify ((sqrt(7) - (sqrt(28)/sqrt(4) + -4 - sqrt(7)))**2 + sqrt(21)/(sqrt(3)*1))*-5.
-45*sqrt(7) - 115
Simplify (sqrt(605) - 2*sqrt(605))*1*-2*-5.
-110*sqrt(5)
Simplify 4*(sqrt(13) - (5 + (-1 + sqrt(13) - sqrt(13))**2))*-1.
-4*sqrt(13) + 24
Simplify (4*1*sqrt(17) + (-1 + sqrt(425) - sqrt(425)))**2.
-8*sqrt(17) + 273
Simplify ((sqrt(187) - (5*sqrt(187)*2 + sqrt(187)))/(sqrt(77)/sqrt(343)))**2.
83300
Simplify ((sqrt(5184)*1)/(sqrt(72)/(1*sqrt(6))))**2.
432
Simplify (sqrt(1539) + 1 + sqrt(19))**2 - (sqrt(76) + -2)**2.
28*sqrt(19) + 1821
Simplify (-2*sqrt(14)/(sqrt(567)*-4))**2.
1/162
Simplify (sqrt(36)/(sqrt(12)*-6))**2 - sqrt(81)/sqrt(3).
-3*sqrt(3) + 1/12
Simplify (-2*(sqrt(77) - -1*sqrt(77)) - sqrt(77))/(sqrt(448)*-2 + sqrt(448)).
5*sqrt(11)/8
Simplify -4*(sqrt(1900) + (sqrt(1900) + -2 + sqrt(1900) + 0)**2) + 3.
-30413 + 280*sqrt(19)
Simplify -2 + sqrt(39)/sqrt(48).
-2 + sqrt(13)/4
Simplify 6*(sqrt(5) - sqrt(125)) + (4 + 1 + sqrt(5) + sqrt(5) - sqrt(5)).
-23*sqrt(5) + 5
Simplify -5*(sqrt(11) - (-1*sqrt(1584))**2).
-5*sqrt(11) + 7920
Simplify ((sqrt(17) + -2)*4 - sqrt(17)) + (sqrt(187)/(sqrt(11) + sqrt(33)/sqrt(3) + sqrt(11)))**2.
-55/9 + 3*sqrt(17)
Simplify 1 + (-5*(sqrt(153) - ((sqrt(153) - (sqrt(153) + sqrt(153)*1 + sqrt(153))) + sqrt(153)) - sqrt(153)))/sqrt(9).
-5*sqrt(17) + 1
Simplify (sqrt(304)*6)**2*3.
32832
Simplify (sqrt(605) + -2)*1.
-2 + 11*sqrt(5)
Simplify -6*(0 + sqrt(832))**2.
-4992
Simplify (-5*-4*(sqrt(176) + sqrt(176)*-2)*2)**2.
281600
Simplify 2*(1 + sqrt(76)).
2 + 4*sqrt(19)
Simplify 3*((-6*(sqrt(147) + 1*sqrt(147)))**2 - sqrt(147)).
-21*sqrt(3) + 63504
Simplify (2 + sqrt(63) + 1 + 1 + 5)**2.
54*sqrt(7) + 144
Simplify 0 + 2*(-4 + sqrt(1331)*-1).
-22*sqrt(11) - 8
Simplify (sqrt(2) + -2 + -1 + sqrt(2))*1 - (sqrt(242)*-2 - (-1 + 0 + sqrt(2))).
-4 + 25*sqrt(2)
Simplify (sqrt(11) - (sqrt(33)/(sqrt(3)*2))**2) + 6*sqrt(99).
-11/4 + 19*sqrt(11)
Simplify (sqrt(143)/(sqrt(66)/(sqrt(36)/sqrt(6))))**2.
13
Simplify (sqrt(320)*-3)**2 + -4.
2876
Simplify ((2*sqrt(66) + sqrt(66))/sqrt(6))**2 - (sqrt(55)/(1*sqrt(5)))**2.
88
Simplify -2 + ((sqrt(832) + 0)*2 - (sqrt(832) + sqrt(832) + -1 + -3))**2.
14
Simplify (3 + sqrt(343))**2*3*1.
126*sqrt(7) + 1056
Simplify (sqrt(700) - -4*sqrt(700)*6)**2.
437500
Simplify ((sqrt(228) + sqrt(228)*-1)*2)/(-3*(sqrt(12) + sqrt(36)/sqrt(3))).
0
Simplify -4 + -5 + 0 + sqrt(7).
-9 + sqrt(7)
Simplify (sqrt(24)/(sqrt(48)/sqrt(4)))**2 - (sqrt(8) - -2*sqrt(8))**2.
-70
Simplify -4 + ((sqrt(190) - -2*sqrt(190))*-3)/sqrt(10).
-9*sqrt(19) - 4
Simplify (3*sqrt(66)/sqrt(6) - (sqrt(11)*3 + -4))**2.
16
Simplify 1 + 4 + (sqrt(2057) + sqrt(2057) + 3 - sqrt(2057))**2.
66*sqrt(17) + 2071
Simplify sqrt(1872) - (sqrt(1872) - (sqrt(1872) - sqrt(1872)*-3) - sqrt(1872))**2 - sqrt(13) - (1 + -2 + sqrt(13)).
-29951 + 10*sqrt(13)
Simplify (1 + sqrt(7) + 5)**2 + 4.
12*sqrt(7) + 47
Simplify (-1 + sqrt(242) + sqrt(242) + 2 + sqrt(242))**2.
66*sqrt(2) + 2179
Simplify (sqrt(112)*-3 + -1)**2.
24*sqrt(7) + 1009
Simplify -1*(3*sqrt(11) + sqrt(11) + 1).
-4*sqrt(11) - 1
Simplify (sqrt(130) + (sqrt(130) - (sqrt(130) - 5*2*sqrt(130))))/((sqrt(80) + sqrt(80)*1)/sqrt(8)).
11*sqrt(13)/2
Simplify 1 + 3 + sqrt(18)/sqrt(6).
sqrt(3) + 4
Simplify (-1*sqrt(77)*-5 + sqrt(77))/sqrt(7).
6*sqrt(11)
Simplify (0 + sqrt(98) + 1)**2.
14*sqrt(2) + 99
Simplify sqrt(153)/(sqrt(9) - sqrt(9)*-6) + (-5 + sqrt(17))*-1.
-6*sqrt(17)/7 + 5
Simplify (-3*2*(1 + sqrt(539) - sqrt(539)))**2.
36
Simplify sqrt(119)/(sqrt(140)/sqrt(5)).
sqrt(17)/2
Simplify ((sqrt(700) + -3*sqrt(700) + sqrt(700) - sqrt(700))*2)**2*3.
33600
Simplify (sqrt(1700) - 4*(sqrt(1700) + -3))**2 + sqrt(1700).
-710*sqrt(17) + 15444
Simplify sqrt(65)/(1*sqrt(5)*-2)*2.
-sqrt(13)
Simplify 0 + (5 + sqrt(242))*4.
20 + 44*sqrt(2)
Simplify -1 + (-4*sqrt(128))**2.
2047
Simplify (5*-1*sqrt(245)*4)**2.
98000
Simplify sqrt(3) + (sqrt(180)/sqrt(5))/sqrt(12) + (5*sqrt(9)/sqrt(3))**2.
2*sqrt(3) + 75
Simplify ((-5*sqrt(270))/sqrt(10))/sqrt(9).
-5*sqrt(3)
Simplify (sqrt(847)*-1 + -3 + sqrt(175))**2.
36*sqrt(7) + 261
Simplify sqrt(304)*-6 + -2.
-24*sqrt(19) - 2
Simplify ((sqrt(7) + -1)**2 + 1 + sqrt(7))*2 - (sqrt(1008) + 3 + sqrt(1008) + 1)**2.
-4030 - 194*sqrt(7)
Simplify (sqrt(1200)*2)**2 - ((sqrt(144) + 1*sqrt(144))/sqrt(3))**2.
4608
Simplify (sqrt(2448)*3 - sqrt(85)/(-1*sqrt(5)))*1.
37*sqrt(17)
Simplify 0 + 4 + sqrt(176).
4 + 4*sqrt(11)
Simplify 2 + (-2*sqrt(18)*-2)/((sqrt(99)*-2)/sqrt(11)).
-2*sqrt(2) + 2
Simplify ((sqrt(39)/(-1*sqrt(3)) - (sqrt(156) - 1*sqrt(156))/sqrt(12)) + 0)**2*-3.
-39
Simplify (-4*sqrt(2448)*1)**2 - sqrt(2448).
-12*sqrt(17) + 39168
Simplify (1 + sqrt(448) + sqrt(448) + -1*sqrt(448) + 4 + -2)**2.
48*sqrt(7) + 457
Simplify (sqrt(243)*1)**2 + 3.
246
Simplify ((sqrt(200)/sqrt(90))/(sqrt(4) - 2*sqrt(20)/sqrt(5)))**2.
5/9
Simplify 0 + sqrt(49)/(sqrt(21)/sqrt(3)) + sqrt(1008)*1.
13*sqrt(7)
Simplify -5 + (3 + (-1 + sqrt(7)*2 - sqrt(7) - sqrt(7) - sqrt(7) - 2*sqrt(700)))**2.
-84*sqrt(7) + 3086
Simplify (2*sqrt(891)*-2 + 2*2*sqrt(891))**2.
0
Simplify ((sqrt(120) - (sqrt(120) + (sqrt(120) - (sqrt(120)*-1 - sqrt(120)))) - sqrt(120) - sqrt(120))/sqrt(10))/sqrt(6).
-5*sqrt(2)
Simplify (sqrt(2) + 2 + sqrt(2))*-6*-6.
72 + 72*sqrt(2)
Simplify -3 + 3 + sqrt(13) + sqrt(104)/(sqrt(32)/sqrt(4)).
2*sqrt(13)
Simplify (sqrt(30)/(-2*sqrt(10))*-2)**2.
3
Simplify (sqrt(80) + -2)**2 + 4.
-16*sqrt(5) + 88
Simplify 2 + (sqrt(1088) - (sqrt(1088) + sqrt(1088) + (sqrt(1088) - (1 + sqrt(1088))**2 - sqrt(1088)))).
8*sqrt(17) + 1091
Simplify 3*(1 + sqrt(48) + 1 + sqrt(12))**2.
72*sqrt(3) + 336
Simplify ((sqrt(34)*-2*2)/(sqrt(8)/sqrt(4)*-1))**2.
272
Simplify ((sqrt(90)/sqrt(3))/sqrt(6)*3)**2.
45
Simplify -3*(sqrt(63) - (sqrt(126)/sqrt(2))**2 - sqrt(7)).
-6*sqrt(7) + 189
Simplify (-4*sqrt(315))/sqrt(7) + -5.
-12*sqrt(5) - 5
Simplify -3*-2*(sqrt(11) + sqrt(66)/(2*sqrt(6)))**2*5.
1485/2
Simplify (sqrt(208)*2*-1 - sqrt(208)) + sqrt(208).
-8*sqrt(13)
Simplify (sqrt(84)*-1 - sqrt(84))/sqrt(12) - (3*sqrt(847) + sqrt(847)).
-46*sqrt(7)
Simplify sqrt(11) + 0 + sqrt(275) - sqrt(44)*-4.
14*sqrt(11)
Simplify (sqrt(6)/(-1*sqrt(21)/sqrt(7)))**2.
2
Simplify (sqrt(4455) + sqrt(4455)*-1)/(4*sqrt(25)/sqrt(5)).
0
Simplify 2 + (sqrt(76) - (sqrt(76) - sqrt(76)*1)**2).
2 + 2*sqrt(19)
Simplify 5*(3*(sqrt(3) + -1) + sqrt(3)).
-15 + 20*sqrt(3)
Simplify (5*2*sqrt(1584)*2)**2.
633600
Simplify sqrt(5) + sqrt(5) + sqrt(125)*-3 - (sqrt(55)*4)/sqrt(11).
-17*sqrt(5)
Simplify sqrt(34)/(sqrt(18)/sqrt(225)).
5*sqrt(17)
Simplify ((sqrt(5472)*-1)/sqrt(2)*2)**2.
10944
Simplify -3*sqrt(108)*5.
-90*sqrt(3)
Simp | {
"pile_set_name": "DM Mathematics"
} |
+ z*h**2 + i*h and give v.
-4
Rearrange -15*t + 28*t - 62*t - 2 - 74*t to the form u + w*t and give u.
-2
Rearrange (3 - 4 + 0*w - w)*(-3*w**2 - 8*w**2 - 19*w**2)*(-3 + 2 - 3) to m*w**3 + t + f*w**2 + q*w and give m.
-120
Rearrange (0*v - v + 3*v)*(0*v + v + 10*v + (-v + v - 2*v)*(3 - 2 + 1) + 0*v + v - 18*v) to k*v**2 + l*v + j and give k.
-20
Express 4*d**3 - 2*d**3 - d**3 + (-3*d**3 + d**3 - d**3)*(6 + 2 - 2 + (0 + 2 - 3)*(12 - 12 + 15)) as h + c*d**3 + g*d**2 + l*d and give c.
28
Express 207*z + 111*z - 233*z as b*z + j and give b.
85
Express -2 + 4 + 1 - 29*q**2 + 147*q**2 in the form v + z*q + x*q**2 and give v.
3
Express -980*m + 484*m + 494*m - 999*m**3 in the form t*m**2 + v*m**3 + y + j*m and give v.
-999
Rearrange (-112*p - 25*p**2 + 112*p)*(10*p**2 + 0*p**2 + 4*p**2) to r*p**4 + d*p + t*p**3 + j + i*p**2 and give r.
-350
Rearrange (22*g - 60*g + g)*(0 + 0 - 1)*(0*g - 2*g - 4*g) - 3*g**2 - 1 + 1 to a + d*g**2 + p*g and give d.
-225
Rearrange 9 - 6 + j**2 + 0*j**2 + 6*j**3 to p*j + v + y*j**2 + q*j**3 and give q.
6
Rearrange 4*w - 3*w + 1204 + 125 - 17 to the form v*w + g and give g.
1312
Rearrange -16*m + 5*m - 17*m + 14*m**3 - 3*m**2 - 12*m**3 to x*m**3 + k*m**2 + s*m + i and give s.
-28
Rearrange (-2*u - 3*u + 2*u)*(-154 - 127 - 130) to the form z*u + m and give z.
1233
Rearrange (-914 + 914 + 60*c)*(0*c - 3*c + c) to the form h*c**2 + g + w*c and give h.
-120
Rearrange (-3 - 1 + 7)*(-5*y + 4*y + 2*y) - 5*y + 3*y + y + (-13 + 14 + 16)*(-9 - 2*y + 9) to the form z*y + c and give z.
-32
Express 167*a**4 + 164*a**4 - 330*a**4 - 4*a + 2 + 2 - a**3 as i + y*a + c*a**2 + f*a**3 + q*a**4 and give f.
-1
Express -53*m - 11*m - 285*m - 29*m in the form i*m + h and give i.
-378
Rearrange 2*w - 8*w**3 - 508 - 507 + 1014 to c*w**2 + d*w**3 + f + m*w and give m.
2
Rearrange 25 - 23 + 22*c**4 - 252*c + 251*c - 6*c**3 to the form s*c + d*c**4 + v + f*c**2 + h*c**3 and give s.
-1
Rearrange 13*h**2 + h**2 - 27*h - h**3 - 21*h**2 to y*h**2 + o*h + k*h**3 + n and give o.
-27
Rearrange (-4 + 4 + 1)*(x + 2*x - x) - 1 - 2*x + 3*x - 1 + (2 + 0 - 3)*(36*x - 44*x + 102*x) to the form m + y*x and give y.
-91
Express (1 + 2*n - n**2 - 3*n**3 - 12*n**3 + 12*n**3)*(-4 + 4 - 3) as a*n**3 + o*n**2 + c*n + g and give g.
-3
Rearrange 2*t + 2 - 2 + (0 + 0 + 1)*(-5*t + t + 3*t) + (-3 + 1 - 1)*(17*t + 13*t - 23*t) to the form n + r*t and give r.
-20
Express -2*o - 18*o**2 + 6*o**2 + o**3 + 4*o**2 + 4*o**2 + 2*o**4 in the form h + k*o**4 + w*o**3 + t*o**2 + p*o and give w.
1
Rearrange -4*d + 2*d + 3*d + (-2*d + 5*d - 4*d)*(-1 + 4 - 2) - d + 0 + 0 + 626*d + 29 - 57 + 26 to the form v + w*d and give v.
-2
Rearrange 0*z**2 - 3 - 2*z**2 + 2 + 11*z**3 + 4*z**3 + 10*z**2 to y*z**2 + k*z**3 + u*z + m and give k.
15
Express -4*x + 7*x + 1675 - 1803 in the form t*x + c and give t.
3
Express 2 - 3*k**4 + 39*k**3 - 6*k**4 + 3*k - k**2 + 23*k**4 + 0*k**4 - 12*k**4 as p*k**2 + g*k**4 + u*k + w*k**3 + d and give d.
2
Express 2*z**2 - 4*z**2 - z**2 + (z - 2 + 2)*(3*z + 3*z - 5*z) + 3*z**2 + z**2 - z**2 as q + t*z**2 + d*z and give t.
1
Rearrange 6*s - 68*s**3 - 70*s**3 + 154*s**3 + s**2 to the form i*s + p + g*s**2 + t*s**3 and give g.
1
Rearrange 2418 + 68*z - 2418 to s*z + p and give s.
68
Rearrange -3*t**2 + 0*t**2 - 61*t + 2*t**2 + (8*t + 5*t + t)*(0*t - 4*t + 2*t) to the form y*t**2 + u*t + f and give u.
-61
Rearrange (-2*f**2 + 29*f**2 + 6*f**2)*((f - f - 2*f**2)*(1 + 2 - 1) - f**2 - 5*f**2 + 2*f**2) to the form q*f**3 + d*f**2 + t + o*f + c*f**4 and give c.
-264
Express (6 + 5 - 5)*(2*p**2 - 5*p**2 + 4*p**2)*(-12*p + 22*p - 12*p) in the form w*p**2 + q*p**3 + n*p + t and give q.
-12
Express -123*x - 132*x + 30*x - 2*x + 3*x + 0*x + (-2 + 3 - 2)*(-2*x - 4*x + 4*x) as g + d*x and give d.
-222
Rearrange 28529 - 277*d - 28529 to o*d + i and give o.
-277
Rearrange -2*r**3 + 5*r + r**4 + 70*r**2 - 70*r**2 - 7*r**4 to p + s*r + w*r**2 + d*r**4 + h*r**3 and give h.
-2
Express 2*h**2 + 1 - 2*h - 344*h**4 + 346*h**4 - 6*h**2 in the form t*h + a*h**3 + y*h**2 + q*h**4 + d and give q.
2
Express -10*m + 10*m + 1 - 70*m**2 in the form x*m + u*m**2 + a and give u.
-70
Rearrange 15*c**2 - 3*c**2 - 2*c - 4*c**2 + 1 - 4 + 2 to the form q*c + k*c**2 + l and give q.
-2
Express k + 27 + 29 - 113 + 0*k + 7 in the form z*k + d and give z.
1
Rearrange -131*s + 537*s - 197*s + 475*s + 306*s to a + r*s and give r.
990
Rearrange (-2*q - 2*q**2 + 2*q)*((q + 6*q + 6*q)*(4 - 4 + q) + 0*q**2 + q**2 - 3*q**2) to t + a*q**3 + r*q + c*q**2 + j*q**4 and give a.
0
Rearrange h**3 + 337 - 2*h - 683 + 339 to d + u*h**2 + n*h**3 + v*h and give d.
-7
Rearrange -19673 + 19673 + 564*c to the form h*c + i and give h.
564
Rearrange -7*b**2 - 2 - 675*b + 3*b**2 + 682*b + b**3 to the form o*b**3 + i*b + h*b**2 + g and give g.
-2
Express 39*v + 2*v**2 + 39*v - 76*v - 57 as m*v**2 + u*v + j and give u.
2
Express 1 + 200*u**2 - 96*u**2 - 95*u**2 + u in the form d*u**2 + x*u + l and give l.
1
Rearrange 17*x**2 - 13*x**2 - 25*x**2 + (-3*x + 20*x + 3*x)*(2*x + 4*x - 4*x + (-3 - x + 3)*(2 - 2 - 4) - 2 - 2*x + 2) to t*x + b*x**2 + o and give b.
59
Express (-4*w - 5*w + 3*w + (3 - 2 - 2)*(4*w - 4*w - 2*w))*(84 - 50*w**3 - 84) in the form l*w**4 + f*w**2 + n*w + b + h*w**3 and give l.
200
Rearrange 0*d**2 + 6*d**2 - 13*d**2 - 12*d**2 - 12*d**2 to the form u + p*d**2 + m*d and give p.
-31
Rearrange 1 + q**4 - 1 + (2*q + q - q)*(q**3 - 10*q**3 - 2*q**3) + (1 + 2*q**3 - 1)*(0 - q + 0) to the form l*q**4 + d*q**2 + p*q + r + z*q**3 and give l.
-23
Express 2431*z**2 + 24*z**3 + 9*z**3 - 35*z**3 in the form o + v*z**2 + u*z + x*z**3 and give v.
2431
Express -2*y - 104 + 3*y - 176 + 60 as u + l*y and give l.
1
Rearrange -3*j - 14*j - 34*j + 10*j to v*j + l and give l.
0
Express -f**2 + 42*f + 1 - 5 + 45*f + 40*f - 73*f as j*f + t*f**2 + g and give j.
54
Express (3*g - 3*g - 12*g)*(-2 + 2 - 2 + (0 + 0 - 1)*(2 - 2 + 3)) in the form n + h*g and give h.
60
Express -32*t**3 - 27*t**3 - 1 + 3*t**3 + 18*t**3 + 4*t**2 as n*t**2 + v*t + s + j*t**3 and give j.
-38
Express -121*d**3 + 12*d**2 + d + 374*d**3 - 126*d**3 - 128*d**3 as l + y*d**2 + g*d**3 + i*d and give g.
-1
Express (-g + 2*g**3 + g)*(-221*g - 467*g - 67*g) in the form b*g**2 + u*g**4 + v*g + n*g**3 + h and give u.
-1510
Rearrange (-b - b - b)*(4 + 1 - 3)*(-1084 + 1084 - 37*b) to the form d*b**2 + w + l*b and give d.
222
Rearrange -20*o + 90*o**2 - 22*o**2 + 3 - 66*o**2 + 2*o**2 + 2 - 2 + (2*o + o - o)*(2*o + 2*o - 2*o) to u*o**2 + q + c*o and give c.
-20
Rearrange 4*i - 79*i**2 - 6*i + 238*i**2 + 473*i**2 + i to the form b*i + a*i**2 + p and give a.
632
Rearrange -3*v**2 + 5 + 14*v**3 + 4*v**2 + v**4 - 12*v**3 to the form p*v**3 + g*v**2 + u + c*v + n*v**4 and give p.
2
Rearrange -74*o**2 + 27*o**2 + 55*o**2 - 73*o**2 - 79*o**2 to the form p*o + g*o**2 + w and give g.
-144
Rearrange v + 4*v**2 + v**4 + 2*v**4 + 10 - 26 + 12 to the form c*v**3 + q*v + w*v**4 + i*v**2 + y and give i.
4
Rearrange 3*x + x**2 + 1 - x - 2*x**2 + 54*x**3 - 40*x**3 to a*x**2 + b*x**3 + h + i*x and give h.
1
Express (12*v - 2*v - 3*v)*(-5 - 1 - 1) + (3 + 2 - 4)*(-2*v + 6*v - 2*v) + v + 1 - 1 + 2*v - 2 + 2 as c + g*v and give g.
-44
Express -2*r**2 - 5*r + r + 5*r**2 - r**2 + 4*r**3 as u + h*r + l*r**3 + p*r**2 and give p.
2
Rearrange 8061 - 4030 - 4031 - 871*f to the form p + w*f and give p.
0
Rearrange (3*q - 3*q + 2*q**2)*(1 - 1 - 4)*(-q + 2*q - 2*q)*(-3 - 4 + 4)*(-25 + 0 - 36) to the form h*q + x*q**2 + r + s*q**3 and give s.
1464
Express 48*o**2 - 1 + 39*o**2 + 0 - 114*o**2 in the form y*o + q*o**2 + i and give i.
-1
Rearrange -9 + 2 + 5 + 30*m**3 - 29*m**3 + m + 4*m**2 to z*m + j + p*m**3 + l*m**2 and give l.
4
Rearrange (43091 + 3*n**2 - 2*n**2 - 43089 - 483*n)*(3*n - 6*n + 2*n) to the form q + a*n + o*n**3 + i*n**2 and give o.
-1
Express 55*g + 41 - 16 - 24 in the form n*g + r and give r.
1
Rearrange (0*g - g + 3*g)*(-4*g**3 + 4*g**3 + 2*g**3) + 45*g**2 + 762*g**3 - 762*g**3 + 3*g**4 - g**4 + 0 + 0 to f*g**4 + p*g**2 + w*g + c + t*g**3 and give f.
6
Express -2*i - i + 2*i - 6*i**2 - 210 + 224 as f*i**2 + v + t*i and give v.
14
Rearrange -d - 70*d**3 + 1 + 2*d**2 - 16*d**4 + 1 + d + 72*d**3 to the form v*d + g + p*d**2 + q*d**4 + h*d**3 and give p.
2
Rearrange (4 - 4 - 5*m**2)*((-2 + 0 + 0)*(5*m + | {
"pile_set_name": "DM Mathematics"
} |
Solve 3252*o + 55 = 3263*o for o.
5
Solve 154 = -11*u + 121 for u.
-3
Solve 11 = 3*f - 4 for f.
5
Solve -577 = k - 584 for k.
7
Solve 0 = -9*a + 3*a + 18 for a.
3
Solve -19*p - 126 = 2*p for p.
-6
Solve 16*m + 150 = -14*m for m.
-5
Solve -10*t = 393 - 423 for t.
3
Solve 14*v - 58 = -44 for v.
1
Solve -25*y = -50*y + 25 for y.
1
Solve -35 = -c - 32 for c.
3
Solve -12 = 75*r - 71*r for r.
-3
Solve 11*o = -15 - 40 for o.
-5
Solve 5*f + 7*f + 36 = 0 for f.
-3
Solve 0 = 15*w - 26*w - 11 for w.
-1
Solve 68 + 40 = -36*h for h.
-3
Solve 0 = 22*i + 45 - 23 for i.
-1
Solve -1468*h = -1473*h + 15 for h.
3
Solve 96*m - 3 - 189 = 0 for m.
2
Solve -51*s = -47*s + 12 for s.
-3
Solve 5 = -p + 6*p for p.
1
Solve -12 = -32*p + 35*p for p.
-4
Solve -15 = -47*l + 50*l for l.
-5
Solve -10*f + 200 = 100 for f.
10
Solve 0 = 14*n + 37 - 65 for n.
2
Solve -289 = 18*a - 145 for a.
-8
Solve 18*g - 23*g = 0 for g.
0
Solve 3*f + 0*f - 6 = 0 for f.
2
Solve 1560*l = 1573*l - 26 for l.
2
Solve 24 = 3*x + 12 for x.
4
Solve 30*j = 35*j - 10 for j.
2
Solve 10*i = 8*i + 8 for i.
4
Solve -17*n + 13 = -4*n for n.
1
Solve -7*m + 27 = 48 for m.
-3
Solve -4 - 6 = 5*r for r.
-2
Solve -53 = 11*z + 13 for z.
-6
Solve -4*d = 41*d + 90 for d.
-2
Solve -14*q + 9*q + 15 = 0 for q.
3
Solve -12*b + 13558 = 13570 for b.
-1
Solve 6*f - 8*f = -2 for f.
1
Solve 459*y - 464*y = 5 for y.
-1
Solve -4*i = -7*i for i.
0
Solve -2*h - 61 = -71 for h.
5
Solve 15*u - 64 = -u for u.
4
Solve 8*q - 103 + 151 = 0 for q.
-6
Solve -640*b = -637*b - 15 for b.
5
Solve 14 = -4*m + 6 for m.
-2
Solve -12 = 14*z - 11*z for z.
-4
Solve -6*w - 13*w = -114 for w.
6
Solve -3*u + 2 + 10 = 0 for u.
4
Solve 5*p = 4*p + 5 for p.
5
Solve 5*i - 8 - 12 = 0 for i.
4
Solve 23*r + 24 = 1 for r.
-1
Solve 9 = -4*g + 1 for g.
-2
Solve 24*f + 106 = -82*f for f.
-1
Solve 0 = 90*i + 644 + 346 for i.
-11
Solve 10*q - 4*q = q for q.
0
Solve -11*w + 36 = -2*w for w.
4
Solve 18 - 43 = 5*b for b.
-5
Solve -h - 14 = -18 for h.
4
Solve -2*a + 9 = -11*a for a.
-1
Solve -2*r - 31 = -41 for r.
5
Solve m = -m + 2 for m.
1
Solve -42*y + 131 = 467 for y.
-8
Solve -2*l = 6*l + 5*l for l.
0
Solve -72*v - 56 = 16 for v.
-1
Solve 20*q - 17*q = 12 for q.
4
Solve 22*x - 24*x - 12 = 0 for x.
-6
Solve 16*z - 198 = 82*z for z.
-3
Solve -34 = -3*b - 37 for b.
-1
Solve 165*y - 12 = 168*y for y.
-4
Solve 0 = -25*q + 32*q for q.
0
Solve 15*f + 11*f - 234 = 0 for f.
9
Solve -1 = 7*c - 8 for c.
1
Solve 0 = 16*b + 16*b - 128 for b.
4
Solve 0 = o + 170 - 164 for o.
-6
Solve 329 = 14*y - 61*y for y.
-7
Solve 0 = 19*x - 3*x + 16 for x.
-1
Solve -66*q + 74*q - 24 = 0 for q.
3
Solve 9 = 20*z + 9 for z.
0
Solve 36*a = 56*a + 40 for a.
-2
Solve 7*x - 22 + 36 = 0 for x.
-2
Solve 0 = 4*s + 18 + 2 for s.
-5
Solve -13*w + 2 = -15*w for w.
-1
Solve -11*i + 16*i = -25 for i.
-5
Solve -9 = -67*l + 70*l for l.
-3
Solve 0 = -31*b + 32*b - 4 for b.
4
Solve 66*a - 59*a + 28 = 0 for a.
-4
Solve 73*c - 33 = 62*c for c.
3
Solve 9*d - 2 = 7*d for d.
1
Solve 11*q - 534 = 100*q for q.
-6
Solve 6 + 23 = -29*d for d.
-1
Solve -62*j - 80 = -22*j for j.
-2
Solve -127*t - 6 = -126*t for t.
-6
Solve -27*q = -22*q - 10 for q.
2
Solve -112 + 28 = 14*z for z.
-6
Solve 17*d + 292 - 224 = 0 for d.
-4
Solve 0 = 8*z - 49 + 1 for z.
6
Solve -2623*a + 30 = -2628*a for a.
-6
Solve -376*k = -391*k for k.
0
Solve 43*c + 168 = 82 for c.
-2
Solve -29 + 49 = -4*y for y.
-5
Solve 0 = -3*i + 2*i + 3 for i.
3
Solve 21*n + 40 = 26*n for n.
8
Solve -29*m + 1 = -57 for m.
2
Solve 13*y = -24*y + 74 for y.
2
Solve 10*b - 4*b = -6 for b.
-1
Solve -8*h + 18 = -6 for h.
3
Solve 3*x = 23*x + 20 for x.
-1
Solve -245 = -6*d - 185 for d.
10
Solve -356 = 44*y - 48 for y.
-7
Solve -17*r - 84 = 4*r for r.
-4
Solve z - 265 = -261 for z.
4
Solve 18*q - 106 = -70 for q.
2
Solve -6 = 12*m + 18 for m.
-2
Solve -53*n = -25*n + 56 for n.
-2
Solve 0 = -24*i + 14*i + 10 for i.
1
Solve 6 - 26 = -5*o for o.
4
Solve 3*j = -3*j + 12 for j.
2
Solve 0 = -8*c + 1293 - 1301 for c.
-1
Solve -5*x - 91 + 96 = 0 for x.
1
Solve 0 = 4*f - 16 + 28 for f.
-3
Solve 238*l = 242*l - 16 for l.
4
Solve -96*p + 5*p = 0 for p.
0
Solve 0 = -3*u - 22 + 16 for u.
-2
Solve -57*x = -22*x + 175 for x.
-5
Solve 14*z + 31*z = -360 for z.
-8
Solve -5*s - 14 = -39 for s.
5
Solve 56*q = 36*q + 20 for q.
1
Solve 1034*i = 1043*i - 18 for i.
2
Solve 45 = 16*m + 13 for m.
2
Solve -4609 = -5*z - 4589 for z.
4
Solve 0 = -5*v + 9 - 14 for v.
-1
Solve -154 = -3*r - 175 for r.
-7
Solve 5*t + 11*t + 96 = 0 for t.
-6
Solve -47*k - 3 = -3 for k.
0
Solve 9*w + 16 = -29 for w.
-5
Solve 12*h + 12 = 24*h for h.
1
Solve 21*q = 20*q + 5 for q.
5
Solve 0 = 14*v - 11*v + 9 for v.
-3
Solve -5*q - 35 = 2*q for q.
-5
Solve 12 = -2*o + 8 for o.
-2
Solve 4*o + 8 = -4 for o.
-3
Solve 0 = -19*j - 326 + 516 for j.
10
Solve 0*v = -2*v + 3*v for v.
0
Solve 19*s = 63 - 6 for s.
3
Solve 151 = -49*p - 45 for p.
-4
Solve 30*n - 467 + 497 = 0 for n.
-1
Solve -9*x = -12*x - 9 for x.
-3
Solve 71*w = -10*w + 729 for w.
9
Solve 0 = -n - 0*n + 3 for n.
3
Solve 25*j - 33 + 8 = 0 for j.
1
Solve k - 1 = -0*k for k.
1
Solve -272*t = -308*t - 216 for t.
-6
Solve 0 = 10*g + 17 + 3 for g.
-2
Solve 0 = 74*u - 82*u - 72 for u.
-9
Solve -22*c - 6*c = -112 for c.
4
Solve -7*j - 40 = -12 for j.
-4
Solve 4*g = g - 12 for g.
-4
Solve 0 = 18*a + 32 - 122 for a.
5
Solve 19 = -q + 18 for q.
-1
Solve -6*a - 10 - 2 = 0 for a.
-2
Solve 9*v - 7*v - 4 = 0 for v.
2
Solve -3*b = 30 - 9 for b.
-7
Solve 5*d - 11 - 9 = 0 for d.
4
Solve 516 = -101*r - 191 for r.
-7
Solve 72*z + 2*z - 148 = 0 for z.
2
Solve 0 = 21*n + 19*n - 240 for n.
6
Solve 0 = -2*z + 20 - 12 for z.
4
Solve 10*w + 36*w + 322 = 0 for w.
-7
Solve -13*g = g - 56 for g.
4
Solve 8 = -367*u + 359*u for u.
-1
Solve -2*p = -3*p + 5*p for p.
0
Solve -4 + 34 = 10*n for n.
3
Solve s + 20*s = 147 for s.
7
Solve -8*l = l - 18 for l.
2
Solve -2*q = -7 + 15 for q.
-4
Solve 4 = 9*t - 14 for t.
2
Solve 41*j = -14*j - 440 for j.
-8
Solve -15*p = -81 + 51 for p.
2
Solve 8*w + 4 = 7*w for w.
-4
Solve -8 = 4*q + 4 for q.
-3
Solve 22*b = 20*b for b.
0
Solve -18*p + 16*p = -2 for p.
1
Solve 3*k + 64 - 52 = 0 for k.
-4
Solve -235*v = -241*v - 36 for v.
-6
Solve 23*t - 12 = 29*t for t.
-2
Solve -78*q = -56*q - 132 for q.
6
Solve 2 = 13*g - 12*g for g.
2
Solve 6*o + 30 = -0*o for o.
-5
Solve -3*n + 0*n = 6 for n.
-2
Solve 59 - 271 = 53*m for m.
-4
Solve -y = 2*y - 6 for y.
2
Solve -2*c = 17*c - 76 for c.
4
Solve -16*t = -8*t - 8 for t.
1
Solve 0 = -7*o - 93 + 51 for o.
-6
Solve 3 = 15*f - 16*f for f.
-3
Solve -5 = -17*a + 12*a for a.
1
Solve -g + 18*g + 51 = 0 for g.
-3
Solve -73*g - 14 = -71*g for g.
-7
Solve -6*s - 25 = 5 for s.
-5
Solve 5*w + 6*w = 3*w for w.
0
Solve -411 = 19*h - 468 for h.
3
Solve 4*k + 9*k - 39 = 0 for k.
3
Solve -2 = 10*d + 8 for d.
-1
Solve 16 = 212*u - 208*u for u.
4
Solve 20*y = 19*y + 7 for y.
7
Solve -y - y = -6 for y.
3
Solve 0 = -90*r + 78*r + 120 for r.
10
Solve -8659 = -5*u - 8644 for u.
3
Solve -2*g - 26 = -36 for g.
5
Solve -12 = -5*m + 9*m for m.
-3
Solve 35 - 75 = 10*g for g.
-4
Solve -65 = -3*p - 59 for p.
2
Solve -49*i = -195*i for i.
0
Solve 22*l + 80 = 256 for l.
8
Solve 46*d = 48*d - 6 for d.
3
Solve 860*u - 856*u + 24 = 0 for u.
-6
Solve 0 = -22*h + 19 + 3 for h.
1
Solve -26*z + 22*z + 4 = 0 for z.
1
Solve -385 = -8*a - 425 for a.
-5
Solve 287 = 8*i + 231 for i.
7
Solve -o + 5 = 8 for o.
-3
Solve -1 = 7*m + 13 for m.
-2
Solve -8*y - 22 = -22 for y.
0
Solve 0 = -28*v + 32*v + 12 for v.
-3
Solve 21*j - 15*j - 24 = 0 for j.
4
Solve 6 = 2*b + b for b.
2
Solve 0 = -n + 6*n + 10 for n.
-2
Solve -12*t - t = -52 for t.
4
Solve 15 = -6*r - 9 for r.
-4
Solve q - 6*q = 10*q for q.
0
Solve 11*f + 56 = -10 for f.
-6
Solve 38 = -7*o + 24 for o.
-2
Solve -3*t - 8 = 4 for t.
-4
Solve 9 - 77 = 68*a for a.
-1
Solve 53*g + 11 = -42 for g.
-1
Solve 0 = -343*m + 368*m + 25 for m.
-1
Solve -11*w = -16 - 50 for w.
6
Solve 60 - 236 = -44*g for g.
4
Solve -12 = -19*j + 23*j for j.
-3
Solve 56*t - 50*t - 30 = 0 for t.
5
Solve 0 = -179*c + 57*c - 1220 for c.
-10
Solve -5 + 0 = -5*u for u.
1
Solve 11*b = 2*b - 18 for b.
-2
Solve 21*n = 18*n + 9 for n.
3
Solve -b + 34 = 37 for b.
-3
Solve -16 = 3*q - 1 for q.
-5
Solve -183 = -8*t - 119 for t.
8
Solve 17*c + 91 = -74*c for c | {
"pile_set_name": "DM Mathematics"
} |
9/20 or 0?
0
Which is smaller: -0.14 or -147?
-147
Which is bigger: 1/96 or 7/24?
7/24
Is 732.6 > -1/6?
True
Is 285/7 at least 2/7?
True
Which is smaller: -1/5 or 1209?
-1/5
Do 592 and 592 have the same value?
True
Is 7 greater than or equal to 141/22?
True
Which is smaller: -2752 or -2?
-2752
Which is bigger: 1 or -7/53?
1
Do 4669 and 4669 have different values?
False
Is 4 at most as big as -0.0135?
False
Which is greater: 2540/9 or 281?
2540/9
Is 1 at least 42/29?
False
Is -170 at most as big as -172?
False
Which is bigger: 0 or 6/29?
6/29
Is 2 < 61?
True
Which is smaller: -159 or -158?
-159
Is -1 greater than -2/22229?
False
Is -5 > -50/11?
False
Which is smaller: -7 or -0.3?
-7
Do 1 and -64/271 have different values?
True
Is -1 at most as big as 1/56?
True
Which is smaller: -0.5 or 1/30?
-0.5
Is 932 smaller than 940?
True
Which is smaller: -208 or 2?
-208
Which is greater: -2.4 or 22/9?
22/9
Which is bigger: 3 or 10.89?
10.89
Is 1/2 <= 0?
False
Which is greater: 6 or 308/45?
308/45
Which is bigger: -628 or -626?
-626
Are -84 and -65 non-equal?
True
Which is smaller: 0 or -6/3689?
-6/3689
Do 14488 and 14488 have the same value?
True
Does -558 = -557?
False
Is 1 less than or equal to 2/2209?
False
Is -2/3 greater than or equal to -97.3?
True
Do 29/15 and 2 have different values?
True
Is -504 at most as big as -2516/5?
True
Which is smaller: -59 or 29?
-59
Is 846 smaller than 846?
False
Which is smaller: 0.09 or 3.081?
0.09
Are -278 and -0.1 nonequal?
True
Which is bigger: 94 or 93?
94
Which is bigger: 12836 or 12835?
12836
Which is smaller: -0.037 or 1.05?
-0.037
Which is smaller: 432 or 434?
432
Which is bigger: 223 or 221?
223
Is -9/349 smaller than -1?
False
Which is smaller: 8 or -0.95?
-0.95
Is 4 bigger than 96/29?
True
Which is smaller: 55/13 or 37?
55/13
Which is greater: -13 or -11?
-11
Are -21 and 0 unequal?
True
Which is bigger: 0.2 or 10/89?
0.2
Is 5 < 39/7?
True
Which is smaller: 3/1024 or 1?
3/1024
Is -1/399 at least 0.062?
False
Which is greater: -121 or -127?
-121
Is -1 less than -23/403?
True
Is -1237 less than or equal to -1237?
True
Which is bigger: -268 or -279?
-268
Which is bigger: 945 or 940?
945
Is 526 >= 527?
False
Are -38 and 11/3 non-equal?
True
Is -15345 greater than or equal to -15345?
True
Which is bigger: 5181 or -0.04?
5181
Which is smaller: 77 or 81?
77
Which is greater: 1 or 2/19755?
1
Is -1/4 >= -44/37?
True
Which is bigger: -125 or 5?
5
Are 349 and 349 unequal?
False
Which is greater: 78 or 80?
80
Which is greater: -1 or -10/181?
-10/181
Which is bigger: 0 or -3/2654?
0
Is 1 less than 8/2077?
False
Which is greater: -37/4 or -8?
-8
Which is bigger: 7 or 2/873?
7
Which is bigger: 1 or 11/142?
1
Is -2 > -72?
True
Which is greater: -419 or 2/7?
2/7
Is 1 at least as big as -8123?
True
Is 8617 at most as big as 8616?
False
Is 42 at least as big as 915/22?
True
Is 151 > 5?
True
Are 74 and 133 equal?
False
Are -0.1 and 0.017663 equal?
False
Which is greater: -617 or -0.1?
-0.1
Is 9 at least 11?
False
Which is smaller: -1/30366 or 0?
-1/30366
Which is smaller: 0 or 174?
0
Is -445 < -450?
False
Is -120 smaller than -134?
False
Is -1 < -6/5395?
True
Is -120 smaller than -120?
False
Which is bigger: -966/13 or -75?
-966/13
Which is greater: -52043 or -1?
-1
Is 1024 greater than 1025?
False
Which is smaller: 39 or 38?
38
Which is smaller: -2/13 or -18?
-18
Which is smaller: -170 or 2/7?
-170
Do 61 and 49 have different values?
True
Is 154 at least as big as 774/5?
False
Is -64 less than or equal to -65?
False
Is 13886 at least as big as 13886?
True
Do 1/2307 and 1 have the same value?
False
Is 1/52 smaller than 1?
True
Is 12 greater than -0.16?
True
Which is smaller: 56 or 609/11?
609/11
Is 7/558 at least as big as 0?
True
Is -1 at least as big as -139?
True
Which is greater: -2847 or 6?
6
Which is greater: 17 or 517?
517
Is 102 at most as big as -1.2?
False
Is 0 bigger than 13/2265?
False
Which is smaller: 1346 or 1347?
1346
Do 3/22 and 1.1 have the same value?
False
Which is bigger: 15 or -48?
15
Which is bigger: 64 or 0.3?
64
Is -29/102 >= 1?
False
Which is smaller: -9207 or -9209?
-9209
Is -17 smaller than -17?
False
Is -1 >= -1/2593?
False
Is -0.1 > -4188?
True
Is -459 at least as big as -459?
True
Is 7/2356 at most 1?
True
Which is smaller: 981 or 982?
981
Is -36 at least as big as 32?
False
Is 18/113 greater than or equal to 1?
False
Is 498 less than 2/37?
False
Which is smaller: 90/31 or 3?
90/31
Which is smaller: 914 or 909?
909
Which is bigger: 858 or 855?
858
Which is bigger: -3752 or -4?
-4
Is -1/3 < 0.3684?
True
Is -1654 greater than or equal to -1654?
True
Which is smaller: 0 or 0.07498?
0
Which is smaller: 4/81 or -1?
-1
Is 1 > 2/12415?
True
Is -253 smaller than 2/7?
True
Do -1389/31 and -46 have the same value?
False
Which is smaller: 2/189 or 0.2?
2/189
Which is bigger: 158 or 157?
158
Are 3.6 and -0.49 unequal?
True
Which is bigger: -1 or 1/1562?
1/1562
Which is smaller: -1 or -1/1035?
-1
Is -6111 less than or equal to -6111?
True
Is -1261 smaller than -1259?
True
Is 2 at least 2?
True
Does -2/7 = 0.48?
False
Which is smaller: -193 or 0.1?
-193
Are -1 and -3/65 nonequal?
True
Which is bigger: 1 or -19/2?
1
Which is smaller: 2280/7 or 327?
2280/7
Are 1 and 4/435 unequal?
True
Which is smaller: 33 or 44?
33
Do -1 and 18 have the same value?
False
Is -60 <= 0?
True
Is -956 less than -958?
False
Which is greater: 279 or 278?
279
Which is smaller: 4/7 or -4/33?
-4/33
Which is smaller: 216 or 2/5?
2/5
Which is smaller: 109 or -1?
-1
Which is bigger: -5.88 or -5?
-5
Is -1 greater than -1/206?
False
Is 2/4343 less than or equal to -1?
False
Is -14999 greater than -14998?
False
Is 110 > 110?
False
Which is smaller: -980 or -978?
-980
Are -2 and 0.067 non-equal?
True
Is -73 > -74?
True
Which is smaller: 0 or -3/622?
-3/622
Which is greater: -260 or -258?
-258
Which is bigger: -30984 or -30985?
-30984
Do -980 and -981 have the same value?
False
Which is smaller: 2/9 or -73?
-73
Which is smaller: 301 or 9?
9
Is -39 <= -58?
False
Which is smaller: 3702.9 or -1/2?
-1/2
Does 2041/10 = 203?
False
Is -465/61 less than or equal to -7?
True
Is -1053 smaller than -1051?
True
Is -5 >= 3/4?
False
Is -2 bigger than 3?
False
Which is greater: 59 or 55?
59
Is 684 bigger than 707?
False
Which is bigger: 810 or 2432/3?
2432/3
Is 1707 greater than or equal to 1707?
True
Is 56 < 276/5?
False
Which is greater: -84.17 or 0?
0
Is 3779 not equal to -1?
True
Is -2/5 < 3/130?
True
Is -819 bigger than 7?
False
Which is bigger: 5143 or -0.1?
5143
Which is bigger: 38 or 25?
38
Which is greater: 4/257 or -1?
4/257
Which is smaller: 742 or 739?
739
Does 31 = 42?
False
Is 1/25 at most -0.621?
False
Is -1 at most as big as 50?
True
Is 2/7613 > 0?
True
Which is bigger: 101 or 104?
104
Is -640 equal to -689?
False
Which is greater: 1549 or 6193/4?
1549
Which is bigger: 6940 or 6939?
6940
Is -51/11 at most -1/3?
True
Is -2/10963 at least as big as -1?
True
Is 2/13345 <= -2/9?
False
Is -21/193 < -1?
False
Which is greater: 681 or 679?
681
Is 17.8 >= 1/3?
True
Which is bigger: 2 or -16654?
2
Is -4 bigger than 7/79?
False
Is 1 >= -15/847?
True
Is -6/109 bigger than -1?
True
Which is smaller: -2/6373 or -1?
-1
Which is smaller: 5251/4 or 1312?
1312
Are -0.1 and -0.084 equal?
False
Is -439 at most as big as -447?
False
Is -237 equal to -234?
False
Is -265 greater than or equal to -268?
True
Are 4958/9 and 550 nonequal?
True
Does 141 = -2/7?
False
Is -616 equal to -617?
False
Which is greater: 41/2 or 21?
21
Do 3 and -49 have the same value?
False
Which is greater: 4/3 or 54?
54
Which is greater: -121 or -119?
-119
Which is bigger: -1 or -2076?
-1
Which is smaller: 40 or 38?
38
Which is greater: 46 or 42?
46
Which is smaller: -2538 or -2537?
-2538
Is -22/87 >= 0?
False
Does 1/5871 = 1?
False
Which is smaller: -353 or -359?
-359
Which is smaller: -1 or 2/18087?
-1
Is 46 > 49?
False
Is 16 at most 103/6?
True
Are -2/5 and 29.93 unequal?
True
Is -2/33 greater than or equal to -1573/2?
True
Is -69 smaller than 30?
True
Are -2/7 and -0.1147 equal?
False
Which is smaller: -1 or -1/6382?
-1
Is 0 greater than -4/3029?
True
Which is smaller: -10 or -14?
-14
Which is smaller: 119 or 118?
118
Are -30 and -241/8 non-equal?
True
Is -1/2211 >= 0?
False
Which i | {
"pile_set_name": "DM Mathematics"
} |
4 = k. Let j be 10/((-3)/741*q). Let l = j - -605. What is l rounded to the nearest 100?
-600
Let i = 11742567.4999979 + -11742566. Let s = -1.5 + i. Round s to six decimal places.
-0.000002
Let h = -11451987 - -3551987. Round h to the nearest 1000000.
-8000000
Suppose b + 6 = -5*s, s - 2*b + 1 - 2 = 0. Let c be (-11604)/2 + 3 + s. Round c to the nearest one thousand.
-6000
Let v be (-4)/(-18) + (-8731987)/(-9). Let q = v + -1890221. Round q to the nearest 100000.
-900000
Let p be 258530/3 + 4/(-6). Suppose 5*v = 13824 + p. What is v rounded to the nearest 100000?
0
Let o = -8.8 + 0.8. Let d = o - -8.000028. What is d rounded to five decimal places?
0.00003
Let t = -509.9769 - -510. Let q = 0.03 - t. Round q to 3 decimal places.
0.007
Let z(s) = -27600*s + 6. Let b be z(-3). Suppose 22006 - b = 4*g. What is g rounded to the nearest 1000?
-15000
Let v(i) = i - 5. Let q be v(6). Let f(u) = 5*u**2 - 2*u + 1. Let r be f(q). Suppose 9*z - r*z + 75000 = 0. What is z rounded to the nearest ten thousand?
-20000
Let y = -3831815.0139 + 3832071. Let w = y + -256. What is w rounded to three decimal places?
-0.014
Let g = 0.3361420522 + -32.3361427622. Let l = -32 - g. Round l to seven decimal places.
0.0000007
Let z = -458589 + 118589. What is z rounded to the nearest one hundred thousand?
-300000
Let q = -2.9 - -5.8. Round q to the nearest integer.
3
Suppose -d + 637 = -303. What is d rounded to the nearest one hundred?
900
Let f(o) = -68*o**2 + 5*o - 3. Let x be f(-5). Let k be (1000/6)/(3/x). What is k rounded to the nearest ten thousand?
-100000
Let b = 0.138163 - 0.138. Round b to five dps.
0.00016
Suppose -101499992 = 5*x + 4*k, -2*x - 17433770 - 23166240 = -5*k. What is x rounded to the nearest 1000000?
-20000000
Let l(d) = d**2 - 10*d + 12. Let g be l(9). Suppose -1 = -g*m - 4. Round m to the nearest 10.
0
Suppose 4*c = -5*b - 810891 - 377752, -5*b + 1485860 = -5*c. Let m = 175167 + c. Round m to the nearest ten thousand.
-120000
Let f = -1390527279.99985 - -1390575625. Let n = f + -48344. Let a = n + -1. What is a rounded to four dps?
0.0002
Suppose -4*h = -5*o - 24970, -13304 = 2*o + h - 3303. Let w be (-320)/(2 - o/(-2500)). What is w rounded to the nearest one million?
0
Let r(t) be the first derivative of -7*t**4/6 - t**3/6 + t**2 + 2. Let h(q) be the second derivative of r(q). Let w be h(-1). Round w to the nearest 10.
30
Let t = 54 + 117. Let a = 178.3 - t. Round a to the nearest integer.
7
Let s = 0.01 + 1.49. Let c = 1.499955 - s. What is c rounded to 5 dps?
-0.00005
Suppose 21876 + 33540 = -4*c. Let a = c - -8054. Round a to the nearest 1000.
-6000
Let q = 496743 - 293039. Let n = q + 396296. What is n rounded to the nearest one hundred thousand?
600000
Let p be 2*(-3)/(-9) + 182384/24. What is p rounded to the nearest one thousand?
8000
Let h = -2.899 + 3.07. What is h rounded to 2 decimal places?
0.17
Let z = 2.3 + -0.1. Let o = 1 + 1. Let m = o - z. What is m rounded to the nearest integer?
0
Let b = -2059084251.0000166 + 2059084437. Let z = 186 - b. What is z rounded to 6 decimal places?
0.000017
Let b = 23 - 51. Let w = 28.0000058 + b. What is w rounded to 6 decimal places?
0.000006
Let c = 9.99 + -65.29. Let i = -35 - 17. Let l = c - i. Round l to the nearest integer.
-3
Let r = 0.9999772 + -1. What is r rounded to five dps?
-0.00002
Let i = 7 + -7.6. Let r = -0.608 - i. What is r rounded to two dps?
-0.01
Let j = 432 + 3. Let c = j + -404.9. Round c to the nearest integer.
30
Suppose -4*n + 4*f = 9440008, 2*n - 7*n + 2*f = 11800004. What is n rounded to the nearest 100000?
-2400000
Suppose 2*p - 8719 + 1817 = 0. Suppose 5*g = -r - 4815, 3*g + p = 5*r + 27442. What is r rounded to the nearest 1000?
-5000
Let c = 0.48 + -0.48021. What is c rounded to 4 decimal places?
-0.0002
Let d = 145 + -144.99999881. Round d to 7 decimal places.
0.0000012
Let q = 60.37 + -0.37. Let t = 59.909977555 - -0.089983445. Let g = q - t. What is g rounded to 5 dps?
0.00004
Suppose 4*n - 45 = -5*a, -30 = -a - a - 4*n. Let v = a - -4. Round v to the nearest integer.
9
Let c = -6 + 9. Let q = c - 3.05. Round q to one dp.
-0.1
Let c = 55 + -56.35. Let l = 1306 + -1304.6378. Let n = c + l. What is n rounded to three dps?
0.012
Let r = -0.418305784 + 5.018305244. Let n = -4.6 + r. What is n rounded to seven dps?
-0.0000005
Let x = 0.02 + 0.09. Let s = x + -0.16. Round s to 1 decimal place.
-0.1
Let n(a) = -120*a**3 - 2*a**2 + 7*a - 4. Let k = 7 - 3. Let b be n(k). Let o = b - -5288. What is o rounded to the nearest one thousand?
-2000
Let h = 4 + -3.4. Let z = h + -0.60004. Round z to five decimal places.
-0.00004
Let x = -1293 - -1293.000000549. Round x to seven decimal places.
0.0000005
Let a(b) = 4*b**3 - b**2 + b. Let s be a(1). Suppose -s = -2*v + 4*d, v + 4*d + 8 = -8. What is v rounded to zero dps?
-4
Let k = 43.1 - 47. Let g = k + -0.1. Let l = -3.992 - g. Round l to two decimal places.
0.01
Let q = 0.86 - -70.14. Let u = q + -70.99942. Round u to 4 decimal places.
0.0006
Let d = 0.036 + -0.03599963. What is d rounded to 7 dps?
0.0000004
Suppose l + 0*l = -2. Let v(w) = -498*w + 4. Let b be v(l). Round b to the nearest 10000.
0
Let o = 43 + -43.36. Round o to one decimal place.
-0.4
Let n = 16 - 13. Suppose -n = -z - 2*z. What is z rounded to 1 decimal place?
1
Let w = 7 + -6.984. What is w rounded to two dps?
0.02
Let u = -0.4 - -0.95. What is u rounded to 1 decimal place?
0.6
Let n = -7 + 13. Let k(r) = 25001*r - 6. Let t be k(n). Round t to the nearest 100000.
200000
Let s(g) = -5*g**2 + 11*g + 8. Let u = -8 - 0. Let o be s(u). What is o rounded to the nearest 1000?
0
Let q = 113.00000101 + -113. What is q rounded to 7 dps?
0.000001
Let j = 98288.225 + -98287.17499939. Let u = 1.05 - j. Round u to seven dps.
-0.0000006
Let z = 0.53017651 - -0.2398231. Let d = z + -0.77. Round d to seven decimal places.
-0.0000004
Let f = -22.4 - -27. Let t = f - 4.6042. What is t rounded to 3 decimal places?
-0.004
Let p = -137.0000067 + 137. What is p rounded to six decimal places?
-0.000007
Let z = 11.097 - 11.160942. Let c = 0.464 + -0.4. Let q = c + z. Round q to 5 dps.
0.00006
Let h = 0.93 + -0.9. Let b = 2.83 - h. What is b rounded to zero dps?
3
Let d = -3.04 + 3.271. What is d rounded to two dps?
0.23
Let n = -38 - -55. Let z = -13.3 - 0.2. Let i = z + n. Round i to the nearest integer.
4
Let a = -18 + 17.9993. Round a to three decimal places.
-0.001
Let l = -104 + 103.57. Let d = 0.0388 - -6.9912. Let q = d + l. What is q rounded to zero decimal places?
7
Let i be (-2 - 4/(-2))/1. Let y = i + 2. Suppose 2140952 - 700952 = -y*o. What is o rounded to the nearest 100000?
-700000
Let i = 1297 + -1310.0069. Let t = i + 13. Round t to three decimal places.
-0.007
Suppose 4*c = -3*w - 11, -3*w - 11 = 3*c - 2. Let z be 6 - (4 - (1 - w)). Suppose -n + z*n - 66 = 0. Round n to the nearest ten.
20
Let o(l) = -9*l**2 + 2*l + 1. Let a be o(-1). Let q(r) = 3*r**3 + 15*r**2 + 7*r + 10. Let g be q(a). What is g rounded to the nearest one hundred?
-1600
Let i = 6.768231 - 7.86823125. Let f = i + 1.1. Round f to seven decimal places.
-0.0000003
Let z = 65.0633 + -57.063. Let s = 6.9 - -1.1. Let a = s - z. What is a rounded to four dps?
-0.0003
Let n = 1.5 - 4.5. Let d = n + 2.9999955. Round d to six dps.
-0.000005
Let y = 3.13 - -388.87. Let k = 234 - y. Let t = 158.0091 + k. What is t rounded to 3 decimal places?
0.009
Suppose -156276 = 3*y - 3280944. Suppose 5*n = 4458444 + y. What is n rounded to the nearest one hundred thousand?
1100000
Suppose 182675 = 5*i - 19460. Suppose -2*k + i = 820427. Round k to the nearest one hundred thousand.
-400000
Let s = 113.0079 + -113. What is s rounded to 3 dps?
0.008
Let h = -118.861 - -119. What is h rounded to two decimal places?
0.14
Suppose -m + 5*m - 100 = 0. Let v be 2995/m + (-1)/(-5). Round v to the nearest ten.
120
Let n = 11 - 12.2. Let q = 1.20000072 + n. What is q rounded to seven decimal places?
0.0000007
Let z = 19.4 - 19.6. Round z to 2 decimal places.
-0.2
Let s(q) = -q**3 + 7*q**2 - 3*q - 6. Let f be s(7). Let z be 4/18 - 75/f. Let i be (22/z)/((-1)/(-3)). What is i rounded to the nearest ten?
20
Let l = -0.1099986 + 0.11. Round l to six decimal places.
0.000001
Let o = 6 + -6.3. Let c = 19.3 + o. Let z = c + -1 | {
"pile_set_name": "DM Mathematics"
} |
**2 - 583 - 223*c**3 + 35*c**4 - 178*c**3 + 193*c**3 - 677 = 0.
-3/7, 3, 4, 7
Let d(g) = 57*g**2 + 256*g - 8. Let k(u) = -7*u**2 - 6*u + 1. Let r(z) = -3*d(z) - 24*k(z). Factor r(c).
-3*c*(c + 208)
Suppose 202*v + 276 - 383*v - 229*v + 155*v**2 - 23*v**2 + 2*v**3 = 0. Calculate v.
-69, 1, 2
Let g(s) be the first derivative of -3*s**4 + 4*s**3 - 4. Let r(x) = 4*x**2 - x**3 - 14*x - 3*x**2 + 14*x. Let p(k) = -g(k) + 15*r(k). Solve p(y) = 0.
0, 1
Let b(g) = 13*g**3 - 5*g**2 + 9*g + 1. Let v be b(3). Let m = 339 - v. Determine o so that -36/7*o**2 + 2*o**4 + 20/7*o**3 - 54/7*o + 2/7*o**m + 54/7 = 0.
-3, 1
Let z(q) = 3*q + 8 - 5*q + 2*q**3 - 22*q**2 - q**3 - 27*q**2 + 46*q**2. Let m be z(3). Factor -26/9*u**3 + 10/9*u**4 + 2/9*u + 2*u**m - 4/9.
2*(u - 1)**3*(5*u + 2)/9
Let z(f) = 89*f + 184. Let l be z(-2). Let c(k) be the first derivative of 1/12*k**l - 7/6*k**3 + 0*k - 1/2*k**5 + 1/2*k**2 - 21 + 9/8*k**4. Factor c(q).
q*(q - 2)*(q - 1)**3/2
Suppose -11*v - 4*n - 3548 = -15*v, -4*n = 5*v - 4471. Let p = 893 - v. Let -2/15*w**p + 8/15 - 2/5*w = 0. Calculate w.
-4, 1
Let y(f) be the third derivative of -f**6/1260 - 19*f**5/630 + f**4/6 - 958*f**2. Find a such that y(a) = 0.
-21, 0, 2
Suppose 246*l = 251*l + 3*d - 13, -2*d + 6 = 2*l. Let c = -165/4 - -42. Factor c*u**4 + 0 + 0*u - 3/4*u**3 + 0*u**l.
3*u**3*(u - 1)/4
Factor 18/7*r**3 + 48/7 + 164/7*r - 230/7*r**2.
2*(r - 12)*(r - 1)*(9*r + 2)/7
Let z = -957 + 13401/14. Let m(h) be the first derivative of 1/7*h**3 - z*h**2 + 3/28*h**4 - 3/7*h + 7. Let m(k) = 0. What is k?
-1, 1
Let o be ((-61)/(-3))/(2/72). Let z = 5132/7 - o. Factor -z + 4/7*j**2 - 4/7*j.
4*(j - 2)*(j + 1)/7
Let i(s) be the second derivative of s**4/4 + 8*s**3 - 1395*s**2/2 - 8824*s. Suppose i(l) = 0. Calculate l.
-31, 15
Let k(g) be the third derivative of -g**8/1008 - g**7/210 + g**6/24 + 11*g**5/36 + g**4/12 - 4*g**3 + 5434*g**2. Determine a so that k(a) = 0.
-3, -2, 1, 4
Let k be (5 - 4)*-3 - -3 - -22. Suppose -15*r - 34*r + 5*r**2 + 41*r - k*r = 0. What is r?
0, 6
Let p(y) be the second derivative of 5*y - 23/45*y**3 + 1/50*y**5 - 7/45*y**4 + 3 - 2/5*y**2. Factor p(u).
2*(u - 6)*(u + 1)*(3*u + 1)/15
Let h(o) = 2*o**2 + 140*o + 2250. Let f be h(-45). Let i(a) be the first derivative of -2 + f*a + 8/27*a**3 - 1/3*a**2 - 1/18*a**4. What is y in i(y) = 0?
0, 1, 3
Let g(u) = 18*u**2 - 1. Let p be g(1). Suppose 0 = -3*i + r + 15 - 7, 4*i = -5*r + p. Factor 1/3*x**4 - x + x**i + 4/3 - 5/3*x**2.
(x - 1)**2*(x + 1)*(x + 4)/3
Let c be (40 - 12 - 52)/(1 + (-10006)/10000). Determine d, given that c + 20*d**3 + 600*d**2 + 1/4*d**4 + 8000*d = 0.
-20
Let v be 3*((-12)/9 + 2/6). Let q be (6 - (-285)/(-50))/(v/(-16)). Suppose 4/5 + 4/5*r**2 + q*r = 0. Calculate r.
-1
Let z(y) be the second derivative of y**4/12 + 59*y**3/3 + 117*y**2/2 - 1558*y. Determine h, given that z(h) = 0.
-117, -1
Factor 36*f**3 - 3750*f + 0 - 3/8*f**4 - 1575/2*f**2.
-3*f*(f - 50)**2*(f + 4)/8
Let y(k) be the third derivative of k**6/8 - 5*k**5/3 + 5*k**4/2 + 7*k**2 + 11. Find p, given that y(p) = 0.
0, 2/3, 6
Let x(t) be the third derivative of t**6/60 - 29*t**5/6 - 293*t**4/12 - 49*t**3 - 911*t**2 - t. Find v such that x(v) = 0.
-1, 147
Let n(k) = -54*k**3 + 2*k**2 - 4. Let i(h) = -67*h**3 + 3*h**2 - 5. Let d(l) = -4*i(l) + 5*n(l). Factor d(p).
-2*p**2*(p + 1)
Factor 4 - 11/3*s - 1/3*s**2.
-(s - 1)*(s + 12)/3
Let d(v) be the second derivative of -5/3*v**3 + 262*v - 1/48*v**4 + 0 + 0*v**2. Factor d(s).
-s*(s + 40)/4
Let s = 3703/3 + -1229. Suppose 4*y + 34 = 21*y. Find v, given that 8/9*v**3 - 80/9*v + 28/9*v**y - 4/9*v**4 + s = 0.
-3, 1, 2
Let m(u) = -3*u**3 - 2*u**2 + u. Let p(b) be the first derivative of -1/2*b**2 + 1/3*b**3 + 1/4*b**4 + 2 + 0*b. Let n(d) = -m(d) - 4*p(d). Factor n(a).
-a*(a - 1)*(a + 3)
Let z(q) be the first derivative of 64/3*q**3 - 98 + 98*q**2 + 12*q. What is j in z(j) = 0?
-3, -1/16
Let u(j) be the first derivative of 2*j**3 - 5/4*j**4 + 1/2*j + 3/10*j**5 + 59 - 3/2*j**2. Factor u(h).
(h - 1)**3*(3*h - 1)/2
Let z(d) = -d**3 + d**2 + d. Let f = -122 + 136. Suppose -f = -7*k - 7*k. Let v(c) = 215*c**3 + 541*c**2 + 451*c + 125. Let g(x) = k*z(x) - v(x). Factor g(t).
-(6*t + 5)**3
Let o(i) = -21*i + 431*i**2 - 437*i**2 - 45 + 0*i. Let a(z) = -11*z**2 - 43*z - 90. Let u(c) = -3*a(c) + 5*o(c). Factor u(p).
3*(p + 3)*(p + 5)
Let p(u) be the first derivative of 0*u - 21 - u**3 + 9/2*u**2. Let p(c) = 0. What is c?
0, 3
Let w be 210/(-133)*18316/(-4338). Solve -1/3*y**2 - w + 7*y = 0.
1, 20
Let p(l) be the second derivative of -1/2*l**3 - 51*l - 3/2*l**2 + 0 + 1/4*l**4 + 3/20*l**5. Factor p(y).
3*(y - 1)*(y + 1)**2
Let d be ((-128)/(-192))/(14/2166). Let k = -2138/21 + d. Suppose -4/3*f - 2/3*f**2 + 0 + k*f**3 + 2/3*f**4 = 0. What is f?
-2, -1, 0, 1
Factor -2/23*z**2 - 3230882/23 + 5084/23*z.
-2*(z - 1271)**2/23
Let n(f) = -2*f**4 - 48*f**3 - 70*f**2 - 48*f + 16. Let d(c) = 3*c**3 - 2. Let a(v) = 8*d(v) + n(v). Solve a(m) = 0 for m.
-8, -3, -1, 0
Let b = -70108 + 70112. Solve -2/5*h**2 + 6/5*h + b = 0.
-2, 5
Let v(i) be the first derivative of -3*i**5/5 - 15*i**4/4 + 14*i**3 + 54*i**2 - 216*i + 1306. Let v(o) = 0. Calculate o.
-6, -3, 2
Let t(g) be the first derivative of 1/6*g**3 + 1/4*g + 63 + 1/24*g**6 + 1/8*g**4 - 3/8*g**2 - 3/20*g**5. Factor t(o).
(o - 1)**4*(o + 1)/4
Let i(g) be the third derivative of g**8/3360 - g**7/560 - g**6/720 + g**5/80 + 181*g**3/6 + 100*g**2. Let m(h) be the first derivative of i(h). Factor m(x).
x*(x - 3)*(x - 1)*(x + 1)/2
Let i(v) = -v**3 + 2*v**2 - 1. Let r be i(-1). Let 97*h**r - 193*h**2 + 4*h + 92*h**2 = 0. Calculate h.
0, 1
Suppose -5*c + 58 - 18 = 0. Let u be -3 + 1 + 3 + 1. Factor u*k**2 + 6*k**3 - 9*k + 6*k**2 - c*k**4 + 3*k.
-2*k*(k - 1)*(k + 1)*(4*k - 3)
Let a(t) be the third derivative of t**7/210 + 49*t**6/60 - 841*t**5/60 + 371*t**4/12 - 6136*t**2. Determine y so that a(y) = 0.
-106, 0, 1, 7
Suppose -5*x + 8 = -3*c + 317, 15*c + 2*x - 1140 = 0. Factor 15/4*k**3 - 99/4*k**2 - c*k - 27.
3*(k - 9)*(k + 2)*(5*k + 2)/4
Let r be 6 + (7 + -17 - -3). Let g be r/(-9) + (-4446)/(-810). Let 4*b + g*b**2 - 8/5 = 0. Calculate b.
-1, 2/7
Factor 42*b + 53 - 315*b**2 + 43 + 336*b**2 - 3*b**3 - 456.
-3*(b - 6)*(b - 5)*(b + 4)
Let k(s) be the second derivative of -5*s**6/6 - 4*s**5 - 15*s**4/2 - 20*s**3/3 - 5*s**2/2 + 3469*s. Factor k(n).
-5*(n + 1)**3*(5*n + 1)
Suppose -3*u**5 + 4*u**2 - 252*u - 6*u**2 + 255*u**3 - 51*u**4 + 53*u**2 = 0. What is u?
-21, -1, 0, 1, 4
Let y(g) be the first derivative of 39/4*g**2 + 1/2*g**3 + 0*g - 78. Factor y(k).
3*k*(k + 13)/2
Determine t, given that -11/4*t**2 + 1/4*t**3 - 56*t - 99 = 0.
-9, -2, 22
Let b(g) be the second derivative of -49*g**5/5 + 1001*g**4/3 - 3050*g**3 - 11250*g**2 + 2*g + 1360. Find s, given that b(s) = 0.
-1, 75/7
Let r(w) be the second derivative of -w**7/504 + 5*w**6/48 + 2*w**5/3 - 2*w**4 + 4*w - 4. Let l(h) be the third derivative of r(h). Factor l(i).
-5*(i - 16)*(i + 1)
Let k(t) = 16*t**2 - 38*t - 2. Let c(b) = -9*b**2 + 5*b - 9. Let i(q) = 5*q**2 - 3*q + 5. Let r(a) = -3*c(a) - 5*i(a). Let y(s) = k(s) - 3*r(s). Factor y(d).
2*(d - 4)*(5*d + 1)
Let -1239*q**4 - 190*q**2 + 1234*q**4 - 280*q + 58*q**3 + 27*q**3 = 0. Calculate q.
-1, 0, 4, 14
Suppose -26*g - 465 + 691 = 87*g. Factor -4/3*k**2 - g*k + 4/3*k**3 + 2*k**4 + 2/3*k**5 - 2/3.
2*(k - 1)*(k + 1)**4/3
Find y such that -12*y**2 + 15/4*y + 9/4*y**3 + 0 = 0.
0, 1/3, 5
Let w be -132 + 131 - (2/(-4))/((3/1)/30). Factor -1/6*l**w + 0 + 0*l**3 + 1/3*l + 1/2*l**2.
-l*(l - 2)*(l + 1)**2/6
Suppose -4*b - 17 - 1 = 2*v, 0 = 5*b - 2*v. Let h(m) = m + 5. Let z be h(b). Factor 6*l - 3*l**4 + 14*l**3 + 5*l**2 - 2*l**2 - 20*l**z.
-3*l*(l - 1)*(l + 1)*(l + 2)
Let i be 1392/(-2900)*5*(1 - 5/4). Solve -6/5*u**3 - 9/5*u**2 - 12/5 + i*u**4 + 24/5*u = 0 for u.
-2, 1, 2
Factor 19/4*i - 1/4*i**2 + 165/2.
-(i - 30)*(i + 11)/4
Let x = 14054/49 + -655855/2303. Let w = x + -15/47. Factor -4/7*n**2 - w + 2*n.
-2*(n - 2)*(2*n - 3)/7
Let p = -15 + 17. Let t(b) = b**2 - 340*b + 3. Let o be t(0). Factor -2/3*x**o + 0 - 2/3*x - 4/3*x**p.
-2*x*(x + 1)**2/3
Let z = 39 + -36. Suppose -14*b + 15*b - z = 0. Factor -568*g**2 + 571*g**2 + 2*g + 3*g**3 - 3*g**3 + g**b.
g*(g + 1)*(g + 2)
Let t be 97845/(-67298)*6 - -11. Let j = 4/437 + t. Factor 8/7* | {
"pile_set_name": "DM Mathematics"
} |
4, -140885915?
-3913499*p**2 + 8*p + 1
What is the v'th term of 114589, 458399, 1031431, 1833691, 2865185?
v**3 + 114605*v**2 - 12*v - 5
What is the q'th term of -4834, -8321, -11804, -15289, -18782, -22289?
-q**3 + 8*q**2 - 3504*q - 1337
What is the c'th term of -302, -7975, -20754, -38633, -61606, -89667?
c**3 - 2559*c**2 - 3*c + 2259
What is the h'th term of 53720, 54031, 54342?
311*h + 53409
What is the t'th term of -432, -1504, -2646, -3858, -5140, -6492?
-35*t**2 - 967*t + 570
What is the m'th term of 4175, 8334, 12507, 16700, 20919, 25170?
m**3 + m**2 + 4149*m + 24
What is the s'th term of 5986546, 5986554, 5986562, 5986570?
8*s + 5986538
What is the n'th term of -99752, -190092, -280432, -370772, -461112, -551452?
-90340*n - 9412
What is the f'th term of 1784637, 1784734, 1784831, 1784928, 1785025, 1785122?
97*f + 1784540
What is the m'th term of -2661, -5640, -9241, -13776, -19557, -26896, -36105, -47496?
-52*m**3 + m**2 - 2618*m + 8
What is the d'th term of -2034, -2325, -2616, -2907, -3198, -3489?
-291*d - 1743
What is the q'th term of -274, -1761, -5756, -13501, -26238?
-207*q**3 - 12*q**2 - 2*q - 53
What is the k'th term of 18358042, 36716082, 55074122, 73432162, 91790202, 110148242?
18358040*k + 2
What is the d'th term of 2525, 5473, 9321, 14069?
450*d**2 + 1598*d + 477
What is the i'th term of -1402445, -2804879, -4207313?
-1402434*i - 11
What is the h'th term of 131, 560, 1277, 2276, 3551, 5096?
-h**3 + 150*h**2 - 14*h - 4
What is the r'th term of 20003, 79966, 179867, 319676, 499363, 718898, 978251, 1277392?
-5*r**3 + 19999*r**2 + r + 8
What is the i'th term of 826944, 1653505, 2480066, 3306627?
826561*i + 383
What is the u'th term of 22369, 89481, 201335, 357931, 559269?
22371*u**2 - u - 1
What is the k'th term of -439848, -879679, -1319484, -1759257, -2198992, -2638683?
k**3 + 7*k**2 - 439859*k + 3
What is the s'th term of 2104, 1977, 1632, 961, -144, -1791, -4088, -7143?
-18*s**3 - s**2 + 2*s + 2121
What is the t'th term of 944, 2544, 4802, 7718, 11292, 15524?
329*t**2 + 613*t + 2
What is the f'th term of 93247229, 93247224, 93247219, 93247214, 93247209?
-5*f + 93247234
What is the h'th term of 959481, 1918939, 2878397, 3837855, 4797313?
959458*h + 23
What is the v'th term of 683239, 683218, 683213, 683230, 683275, 683354?
v**3 + 2*v**2 - 34*v + 683270
What is the v'th term of -28387468, -56774937, -85162406, -113549875, -141937344, -170324813?
-28387469*v + 1
What is the r'th term of 2324, 4734, 7312, 10142, 13308, 16894, 20984?
14*r**3 + 2312*r - 2
What is the p'th term of 169717, 169777, 169837, 169897, 169957, 170017?
60*p + 169657
What is the l'th term of -889, -3299, -5713, -8131, -10553, -12979?
-2*l**2 - 2404*l + 1517
What is the x'th term of -428251, -428255, -428269, -428299, -428351, -428431, -428545?
-x**3 + x**2 - 428251
What is the z'th term of 535667, 1071351, 1607035, 2142719, 2678403, 3214087?
535684*z - 17
What is the u'th term of 8328498, 8328501, 8328504?
3*u + 8328495
What is the r'th term of -91426, -182565, -273142, -362875, -451482, -538681, -624190, -707727?
47*r**3 - r**2 - 91465*r - 7
What is the h'th term of 119166, 952360, 3213880, 7617888, 14878546, 25710016?
119027*h**3 + h**2 + 2*h + 136
What is the h'th term of 60847, 120025, 179205, 238387?
h**2 + 59175*h + 1671
What is the a'th term of 8973, 8667, 8167, 7473, 6585?
-97*a**2 - 15*a + 9085
What is the c'th term of 536028, 536038, 536042, 536040, 536032?
-3*c**2 + 19*c + 536012
What is the j'th term of 97638, 97348, 97058, 96768?
-290*j + 97928
What is the j'th term of -30478, -31150, -31822, -32494, -33166?
-672*j - 29806
What is the z'th term of 2963001, 2963000, 2962999, 2962998?
-z + 2963002
What is the r'th term of 7627, 5944, 3139, -788, -5837, -12008?
-561*r**2 + 8188
What is the l'th term of 5390917, 10781829, 16172741, 21563653?
5390912*l + 5
What is the n'th term of 1010805, 2021612, 3032419, 4043226, 5054033?
1010807*n - 2
What is the c'th term of 43904, 87795, 131666, 175517, 219348, 263159, 306950?
-10*c**2 + 43921*c - 7
What is the w'th term of 1774862, 1774863, 1774864?
w + 1774861
What is the h'th term of -228766, -229083, -229400, -229717, -230034, -230351?
-317*h - 228449
What is the w'th term of 7452017, 29808056, 67068123, 119232224, 186300365, 268272552, 365148791?
w**3 + 7452008*w**2 + 8*w
What is the x'th term of -31672, -63362, -95044, -126712, -158360?
x**3 - 2*x**2 - 31691*x + 20
What is the k'th term of -116802858, -233605711, -350408564, -467211417, -584014270, -700817123?
-116802853*k - 5
What is the y'th term of 48616057, 97232137, 145848217, 194464297, 243080377, 291696457?
48616080*y - 23
What is the u'th term of -858901, -858951, -859001, -859051, -859101, -859151?
-50*u - 858851
What is the t'th term of -20080404, -20080409, -20080418, -20080431?
-2*t**2 + t - 20080403
What is the z'th term of -24078, -192674, -650300, -1541472, -3010706?
-24086*z**3 + z**2 + 3*z + 4
What is the z'th term of 7847542, 7847551, 7847566, 7847587, 7847614, 7847647, 7847686?
3*z**2 + 7847539
What is the r'th term of 1550, 5965, 12818, 21695, 32182, 43865, 56330?
-69*r**3 + 1633*r**2 - r - 13
What is the n'th term of 305, 1220, 2719, 4802, 7469, 10720, 14555?
292*n**2 + 39*n - 26
What is the v'th term of -47484, -44924, -40666, -34716, -27080, -17764, -6774, 5884?
-v**3 + 855*v**2 + 2*v - 48340
What is the q'th term of -11927, -23987, -36121, -48329, -60611, -72967, -85397?
-37*q**2 - 11949*q + 59
What is the l'th term of -336071, -672082, -1008093, -1344104, -1680115?
-336011*l - 60
What is the g'th term of 11325150, 11325153, 11325156, 11325159?
3*g + 11325147
What is the v'th term of -26696, -106821, -240328, -427223, -667512?
-v**3 - 26685*v**2 - 63*v + 53
What is the t'th term of 92788, 185759, 278730, 371701, 464672, 557643?
92971*t - 183
What is the k'th term of 2955, 2610, 2009, 1152?
-128*k**2 + 39*k + 3044
What is the i'th term of 29, -208, -1109, -3070, -6487, -11756?
-66*i**3 + 64*i**2 + 33*i - 2
What is the k'th term of 53389, 106917, 160461, 214027, 267621, 321249?
k**3 + 2*k**2 + 53515*k - 129
What is the z'th term of 11398, 11106, 10814, 10522, 10230?
-292*z + 11690
What is the t'th term of 654239, 1308495, 1962777, 2617097, 3271467, 3925899?
2*t**3 + t**2 + 654239*t - 3
What is the c'th term of 531486, 1062909, 1594278, 2125599, 2656878, 3188121, 3719334, 4250523?
c**3 - 33*c**2 + 531515*c + 3
What is the x'th term of 1767141, 3534280, 5301417, 7068552, 8835685, 10602816, 12369945?
-x**2 + 1767142*x
What is the x'th term of 41980, 83992, 126004, 168016, 210028, 252040?
42012*x - 32
What is the j'th term of 1160928, 1160934, 1160944, 1160958?
2*j**2 + 1160926
What is the f'th term of 12557829, 50231304, 113020429, 200925204, 313945629?
12557825*f**2 + 4
What is the y'th term of -1093, -5548, -13029, -23536, -37069?
-1513*y**2 + 84*y + 336
What is the a'th term of -33124, -132828, -299000, -531640?
-33234*a**2 - 2*a + 112
What is the g'th term of -7510, -14958, -22324, -29584, -36714, -43690?
4*g**3 + 17*g**2 - 7527*g - 4
What is the h'th term of 731460, 5851715, 19749542, 46813725, 91433048?
731464*h**3 + 2*h**2 + h - 7
What is the d'th term of -1501124878, -1501124879, -1501124880, -1501124881?
-d - 1501124877
What is the g'th term of -27033, -54354, -81675, -108996, -136317, -163638?
-27321*g + 288
What is the n'th term of -60639992, -60639988, -60639984, -60639980, -60639976, -60639972?
4*n - 60639996
What is the f'th term of 820, 2163, 3504, 4843?
-f**2 + 1346*f - 525
What is the u'th term of 10850, 87062, 294036, 697154, 1361798, 2353350, 3737192, 5578706?
10897*u**3 - u**2 - 64*u + 18
What is the k'th term of -14815, -59242, -133299, -236986, -370303, -533250, -725827?
-14815*k**2 + 18*k - 18
What is the p'th term of -56638, -56633, -56626, -56617?
p**2 + 2*p - 56641
What is the z'th term of -4304, -9102, -14372, -20114?
-236*z**2 - 4090*z + 22
What is the o'th term of -3142033, -6284086, -9426137, -12568186, -15710233?
o**2 - 3142056*o + 22
What is the d'th term of 64, -640, -3462, -9752, -20860, -38136, -62930?
-225*d**3 + 291*d**2 - 2*d
What is the w'th term of 24632, 21245, 17858, 14471, 11084, 7697?
-3387*w + 28019
What is the y'th term of 267201, 266627, 265671, 264333?
-191*y**2 - y + 267393
What i | {
"pile_set_name": "DM Mathematics"
} |
en 29 is divided by g.
5
Let c = 14208 + -14185. Calculate the remainder when 5467 is divided by c.
16
Let a(o) = 9*o**2 - 8*o + 7. Let s be -1*4 + -25 + 7. Let c = s - -47. What is the remainder when a(3) is divided by c?
14
Suppose -5*n - 4*q + 8*q = -71, 4*q = -4*n + 64. Let x be (-168)/(-20) + -1 + n/25. Suppose 0 = x*d - 10*d + 284. What is the remainder when d is divided by 48?
46
Let y(q) = 4*q - 24. Let k = -19 + 27. Let m be y(k). What is the remainder when 35 is divided by (80/28)/(m/28)?
5
Let o(c) = 754*c - 401. Calculate the remainder when o(3) is divided by 305.
31
Let s(w) = 2*w**3 - 8*w**2 + 24*w - 14. What is the remainder when 625 is divided by s(5)?
1
Suppose 0 = 3*i + 2*c - 7, -11*i + 30 = -9*i - 5*c. Let x(t) be the first derivative of 6*t**2 - 1. Calculate the remainder when x(i) is divided by 9.
6
Suppose 2*w - 64 = r, -2*r + 16 + 54 = 2*w. What is the remainder when 47 is divided by w?
14
Let s be (2 - -3 - 3 - 2) + 282. Suppose s = 5*a + a. Calculate the remainder when a is divided by 7.
5
Let f = 170 - 118. Let r(s) = -s**3 + 41*s**2 - 7*s + 491. Calculate the remainder when r(41) is divided by f.
48
Let p = -2282 - -2311. What is the remainder when 1554 is divided by p?
17
Suppose 6 = 3*w, 0*x + 250 = 4*x + w. Let f(j) = -j**3 - 3*j**2 + 8*j + 6. Calculate the remainder when x is divided by f(-5).
14
Let r be (-8)/40 + (-44)/5. Suppose 23*f + 96 = 25*f. Calculate the remainder when 56 is divided by (f/r + 2)*6/(-1).
16
Suppose d = -4*k + 3377, 0 = 2*d - 9*k - 4695 - 1940. What is the remainder when d is divided by 25?
24
Suppose 6*o = o + 555. Suppose 2611 - 541 = 10*d. Suppose 0 = 4*w - 13*w + d. What is the remainder when o is divided by w?
19
Let c(f) = 1927*f**2 - 2*f + 3. What is the remainder when c(1) is divided by 69?
65
Suppose 88*d + 754 - 360 = 24946. Calculate the remainder when 3350 is divided by d.
2
Suppose 151 = 5*h - 34 - 115. Calculate the remainder when 66 is divided by h.
6
Suppose 2*o - 1413 = -5*z, -2*z + 0*z = -2*o - 554. What is the remainder when 849 is divided by z?
6
Let t(n) = 2*n - 39. Let v(y) = -2*y + 38. Let o(s) = -3*t(s) - 2*v(s). Let a be o(0). Let w = -35 + a. Calculate the remainder when 9 is divided by w.
3
Let z be -51*1*((-28)/(-12))/(-7). Let l(q) = -8*q**2 - 7*q**2 + 17*q + z*q**2 - 10. Calculate the remainder when 58 is divided by l(-10).
18
Suppose -20 - 214 = -6*c. What is the remainder when 2 is divided by 3*(c/9 - 4)?
0
Let b = 491 - -2025. Calculate the remainder when b is divided by 168.
164
Let b(u) = 2*u + 1 + 4 - u. Let j(x) = x**3 + 9*x**2 + 12*x + 35. Let d be j(-8). What is the remainder when 87 is divided by b(d)?
7
Suppose -68 = 4*x - 54 - 58. Calculate the remainder when 259 is divided by x.
6
Suppose -2*l = -5*q + 65, 2*l + 26 = 2*q + 3*l. Suppose -85 = 4*j - 317. What is the remainder when j is divided by q?
6
Let p = -19580 - -21419. Calculate the remainder when p is divided by 16.
15
Let x(s) = -2*s + 90 + 3*s - 83. Suppose -63 = 10*j - 17*j. Calculate the remainder when 28 is divided by x(j).
12
Let x = 46 + -24. Suppose 17*j = x*j + 60. What is the remainder when (-1768)/(-12) - 8/j is divided by 30?
28
Suppose 137*u - 120*u - 136 = 0. Suppose -4*i - i - 4*m = -124, -5*m - 91 = -4*i. Let z = i - -77. Calculate the remainder when z is divided by u.
5
Suppose 735697 + 128363 = 435*j - 507495. Calculate the remainder when j is divided by 629.
8
Suppose -3*t + 26*h = 21*h - 83, -4*t - 5*h = -64. What is the remainder when 600 is divided by t?
12
Let n = 14219 - 14032. What is the remainder when 335 is divided by n?
148
Let p = -100 + 112. Suppose p*c = 24*c - 240. Calculate the remainder when 94 is divided by c.
14
Suppose -5*j = 5, -u - j = 4*u - 259. Let i = 113 - 86. Calculate the remainder when u is divided by i.
25
Let g(d) = d**3 - 3*d**2 + 4*d. Let k = -97 - -138. Suppose k*u - 1402 = 1468. What is the remainder when u is divided by g(3)?
10
Suppose -926 + 265 = -28*g + 991. Calculate the remainder when 15870 is divided by g.
58
Suppose -3*a = 4*u - 164, a = 3*u - 4*a - 94. Calculate the remainder when u is divided by 24.
14
Suppose 4*s - 7 - 5 = 0. Let t(k) = -s*k - 3 + 4*k - 4 + 2*k. What is the remainder when 39 is divided by t(7)?
11
Let v = -26 - -26. Suppose -4*n + 230 = 3*x - v*n, 2*x = n + 146. Let d = x + -43. Calculate the remainder when 58 is divided by d.
27
Suppose -160*n + 165*n = 2*p - 173, 4*n - 332 = -4*p. Let f(s) = 7*s - 4. What is the remainder when p is divided by f(4)?
12
Let j be (-6)/(-4)*(140 + (5 - 1)). Suppose -8*m + 17*m - j = 0. Suppose -5*l = -2*l - h - 203, -2*l + 5*h = -118. What is the remainder when l is divided by m?
21
Let w(g) = -g**3 - 18*g**2 + 17*g - 24. Let i be (-1 + 1 + 1)/(-1)*19. What is the remainder when (-318)/(-6) + 2/(-2) is divided by w(i)?
10
Let c(z) = 73 - z**3 + 2*z**3 - 31*z - 7*z**2 + 8*z**2 + 0*z**2 + 13*z. Calculate the remainder when 311 is divided by c(4).
68
Let p = 7140 + -4064. Calculate the remainder when p is divided by 56.
52
Suppose 8*a = -p + 482, 0 = -93*a + 98*a - 5*p - 290. Suppose 3*r - 37 = -o - 4*o, 11 = o - 3*r. Calculate the remainder when a is divided by o.
4
Let x = 223 + -145. Suppose -5*u - 28*a + 7004 = -29*a, -3*u + 4218 = 2*a. What is the remainder when u is divided by x?
76
Let n = -498 + 3342. What is the remainder when n is divided by 219?
216
Suppose d = -2*h + 2*d + 7, -5*h + 40 = 2*d. Suppose -3 = 4*l - 5*z - 129, 3*z = 3*l - 93. Let a = h + l. What is the remainder when a is divided by 6?
5
Suppose 175*z - 21*z = 65926 + 43568. Calculate the remainder when z is divided by 238.
235
Let p = -65 - -119. Calculate the remainder when 21/5*(309/9 - 21) is divided by p.
2
Suppose -23493 - 3293 + 2384 = -294*v. What is the remainder when 2986 is divided by v?
81
Suppose -9848*j = -9850*j + 1434. Calculate the remainder when j is divided by 80.
77
Suppose -2*u + u = -4. Suppose u*z + 72 = 8*z. Calculate the remainder when 60 is divided by z.
6
Let d(u) = -39*u + 227. Let s be d(6). What is the remainder when 327 is divided by 40 - 35/((-35)/s)?
30
Suppose -4*k = -20, -47*y + 44*y - 5*k = -562. What is the remainder when y is divided by 32?
19
Suppose 0 = -5*q - 2*n + 120, -7*q + 2*n + 62 = -5*q. Suppose -21*o - q = -2*i - 19*o, -3*o = -i + 23. What is the remainder when 181 is divided by i?
5
Let r = -50 - -85. Suppose -30*l = -r*l + 100. Calculate the remainder when 69 is divided by l.
9
Suppose 0 = -3*y + 41*y - 1126740 - 34464. Calculate the remainder when y is divided by 259.
255
Let s(t) = t**3 - 11*t**2 + 10*t - 5. Let m be s(12). Let u = m + -145. What is the remainder when u is divided by -6*3/(18/(-40))?
34
Let l = -354 - -832. Suppose 1819*d = 1824*d + 5*k - 260, 0 = 2*d - 5*k - 160. Calculate the remainder when l is divided by d.
58
Let r(x) = x**3 - 28*x**2 + 152*x - 76. Calculate the remainder when r(23) is divided by 7.
5
Let p(k) = -105 + 38 - 3*k**2 + 17*k - k**2 + 5*k**2. What is the remainder when 170 is divided by p(-22)?
41
Suppose -y - 995 = -j, -999 = -j + y + 2*y. What is the remainder when j is divided by 70?
13
Let p be (9 + -6)*1 - -1. What is the remainder when (-1)/(p/(-18) + 7414/34254) is divided by 36?
29
Let k = 613 - -338. Calculate the remainder when k is divided by (-2)/(-9) + (-4832)/(-288).
16
Let u(v) = -13*v**2 + 5*v + 13. Let l(j) = 7*j**2 - 2*j - 6. Let z(i) = 5*l(i) + 2*u(i). Calculate the remainder when 43 is divided by z(2).
11
Let r = -11039 + 12841. What is the remainder when r is divided by 21?
17
Let k be 10/(-3)*99/(-55). Suppose 0 = -4*z + k*z - 104. What is the remainder when -9 + 160 + (0 - -3) is divided by z?
50
Let k be (-12)/16 + (-76)/(-16) + 0. Suppose -2*o + k*a + 71 = 3*a, 4*a + 144 = 4*o. Let h = -22 + 35. What is the remainder when o is divided by h?
9
Calculate the remainder when 2464/330*10 + (-2)/(-6) is divided by 19.
18
Let g be ((-95)/(-3))/(6/18). Suppose -4*m + 79 = 3*u, -g = 4*m - 9*m - 3*u. Suppose 28*y + 78 = 41*y. Calculate the remainder when m is divided by y.
4
Suppose -4*c + 4*c + 272 = 16*c. What is the remainder when 263 is divided by c?
8
Suppose 3*p + 30 = 21. Let f be 30/10 + 12/p. Calculate the remainder when f + 2 - (-42 - -9) is divided by 12.
10
Let x(p) = 2*p**3 - 4*p**2 - 4*p + 8 | {
"pile_set_name": "DM Mathematics"
} |
by 53?
32
Calculate the remainder when 29 is divided by 22.
7
What is the remainder when 7 is divided by 5?
2
Calculate the remainder when 378 is divided by 19.
17
Calculate the remainder when 16072 is divided by 282.
280
Calculate the remainder when 203 is divided by 32.
11
What is the remainder when 2438 is divided by 9?
8
What is the remainder when 174 is divided by 38?
22
Calculate the remainder when 182 is divided by 23.
21
Calculate the remainder when 1569 is divided by 20.
9
Calculate the remainder when 97 is divided by 28.
13
What is the remainder when 224 is divided by 114?
110
Calculate the remainder when 133 is divided by 57.
19
Calculate the remainder when 135 is divided by 118.
17
What is the remainder when 20986 is divided by 22?
20
What is the remainder when 4026 is divided by 1005?
6
Calculate the remainder when 82 is divided by 14.
12
What is the remainder when 23 is divided by 13?
10
Calculate the remainder when 1792 is divided by 194.
46
Calculate the remainder when 741 is divided by 124.
121
Calculate the remainder when 1677 is divided by 12.
9
What is the remainder when 229 is divided by 33?
31
What is the remainder when 231 is divided by 47?
43
Calculate the remainder when 27 is divided by 16.
11
What is the remainder when 611 is divided by 51?
50
Calculate the remainder when 482 is divided by 46.
22
Calculate the remainder when 157 is divided by 35.
17
Calculate the remainder when 250 is divided by 18.
16
What is the remainder when 10286 is divided by 62?
56
What is the remainder when 492 is divided by 95?
17
Calculate the remainder when 5452 is divided by 19.
18
What is the remainder when 730 is divided by 223?
61
Calculate the remainder when 787 is divided by 99.
94
What is the remainder when 598 is divided by 40?
38
What is the remainder when 156 is divided by 16?
12
Calculate the remainder when 73 is divided by 22.
7
Calculate the remainder when 1318 is divided by 40.
38
What is the remainder when 45 is divided by 10?
5
Calculate the remainder when 234 is divided by 40.
34
Calculate the remainder when 6893 is divided by 18.
17
Calculate the remainder when 357 is divided by 266.
91
Calculate the remainder when 14713 is divided by 45.
43
Calculate the remainder when 4135 is divided by 100.
35
What is the remainder when 80 is divided by 17?
12
Calculate the remainder when 123 is divided by 108.
15
What is the remainder when 33 is divided by 30?
3
Calculate the remainder when 314 is divided by 142.
30
Calculate the remainder when 107 is divided by 16.
11
Calculate the remainder when 680 is divided by 22.
20
What is the remainder when 190 is divided by 32?
30
What is the remainder when 475 is divided by 28?
27
Calculate the remainder when 560 is divided by 104.
40
Calculate the remainder when 3416 is divided by 10.
6
Calculate the remainder when 843 is divided by 11.
7
Calculate the remainder when 2349 is divided by 14.
11
What is the remainder when 568 is divided by 65?
48
What is the remainder when 153 is divided by 52?
49
Calculate the remainder when 148 is divided by 33.
16
What is the remainder when 161 is divided by 33?
29
Calculate the remainder when 206 is divided by 26.
24
What is the remainder when 383 is divided by 37?
13
What is the remainder when 57 is divided by 37?
20
Calculate the remainder when 11728 is divided by 14.
10
Calculate the remainder when 62 is divided by 4.
2
Calculate the remainder when 1013 is divided by 73.
64
What is the remainder when 353 is divided by 185?
168
What is the remainder when 3021 is divided by 54?
51
What is the remainder when 647 is divided by 7?
3
What is the remainder when 146 is divided by 49?
48
What is the remainder when 29 is divided by 13?
3
Calculate the remainder when 987 is divided by 16.
11
Calculate the remainder when 1201 is divided by 299.
5
Calculate the remainder when 978 is divided by 49.
47
Calculate the remainder when 51 is divided by 13.
12
What is the remainder when 719 is divided by 77?
26
Calculate the remainder when 5959 is divided by 67.
63
Calculate the remainder when 17 is divided by 10.
7
What is the remainder when 71 is divided by 27?
17
What is the remainder when 384 is divided by 184?
16
What is the remainder when 2923 is divided by 101?
95
What is the remainder when 446 is divided by 191?
64
Calculate the remainder when 269 is divided by 4.
1
What is the remainder when 2651 is divided by 178?
159
What is the remainder when 89 is divided by 20?
9
Calculate the remainder when 410 is divided by 59.
56
Calculate the remainder when 2658 is divided by 84.
54
What is the remainder when 5937 is divided by 44?
41
What is the remainder when 93 is divided by 4?
1
Calculate the remainder when 115 is divided by 18.
7
Calculate the remainder when 635 is divided by 7.
5
What is the remainder when 32 is divided by 9?
5
What is the remainder when 206 is divided by 73?
60
What is the remainder when 8967 is divided by 23?
20
Calculate the remainder when 554 is divided by 409.
145
Calculate the remainder when 222 is divided by 114.
108
Calculate the remainder when 1284 is divided by 23.
19
What is the remainder when 385 is divided by 56?
49
Calculate the remainder when 17 is divided by 13.
4
What is the remainder when 835 is divided by 170?
155
Calculate the remainder when 938 is divided by 314.
310
Calculate the remainder when 772 is divided by 96.
4
Calculate the remainder when 287 is divided by 77.
56
Calculate the remainder when 235 is divided by 220.
15
Calculate the remainder when 348 is divided by 70.
68
What is the remainder when 594 is divided by 100?
94
Calculate the remainder when 2409 is divided by 32.
9
What is the remainder when 2309 is divided by 54?
41
What is the remainder when 478 is divided by 120?
118
What is the remainder when 594 is divided by 71?
26
What is the remainder when 118 is divided by 12?
10
Calculate the remainder when 168 is divided by 63.
42
What is the remainder when 39352 is divided by 21?
19
Calculate the remainder when 3973 is divided by 78.
73
Calculate the remainder when 91 is divided by 46.
45
What is the remainder when 646 is divided by 27?
25
What is the remainder when 2153 is divided by 18?
11
Calculate the remainder when 5913 is divided by 35.
33
Calculate the remainder when 58 is divided by 1.
0
Calculate the remainder when 266 is divided by 50.
16
What is the remainder when 2784 is divided by 199?
197
Calculate the remainder when 21 is divided by 9.
3
Calculate the remainder when 676 is divided by 322.
32
What is the remainder when 139 is divided by 16?
11
What is the remainder when 376 is divided by 24?
16
What is the remainder when 1969 is divided by 27?
25
What is the remainder when 373 is divided by 22?
21
Calculate the remainder when 34 is divided by 10.
4
What is the remainder when 254 is divided by 117?
20
Calculate the remainder when 954 is divided by 55.
19
Calculate the remainder when 2855 is divided by 102.
101
What is the remainder when 4381 is divided by 51?
46
What is the remainder when 109 is divided by 33?
10
What is the remainder when 722 is divided by 91?
85
Calculate the remainder when 332 is divided by 159.
14
Calculate the remainder when 12321 is divided by 101.
100
What is the remainder when 68 is divided by 3?
2
What is the remainder when 78 is divided by 38?
2
What is the remainder when 683 is divided by 16?
11
What is the remainder when 94 is divided by 84?
10
What is the remainder when 34 is divided by 12?
10
Calculate the remainder when 666 is divided by 462.
204
Calculate the remainder when 313 is divided by 54.
43
Calculate the remainder when 128 is divided by 10.
8
Calculate the remainder when 81 is divided by 21.
18
Calculate the remainder when 509 is divided by 27.
23
What is the remainder when 222 is divided by 80?
62
Calculate the remainder when 1876 is divided by 456.
52
What is the remainder when 141 is divided by 37?
30
Calculate the remainder when 43 is divided by 9.
7
Calculate the remainder when 133 is divided by 58.
17
What is the remainder when 4369 is divided by 175?
169
Calculate the remainder when 1184 is divided by 14.
8
What is the remainder when 537 is divided by 15?
12
What is the remainder when 99 is divided by 20?
19
Calculate the remainder when 632 is divided | {
"pile_set_name": "DM Mathematics"
} |
et v(i) = -6*i + 17. Let n(b) = 3*b - 9. Let y(r) = -7*n(r) - 4*v(r). Let u be y(4). What is the second derivative of u*p + 0*p - 5*p**2 - 2*p**2 - p wrt p?
-14
What is the second derivative of -32 + 31*d**3 - 3*d + 4*d - 2*d**2 + 68*d**3 - 223*d**3 - 187*d**3 wrt d?
-1866*d - 4
Let g(h) be the second derivative of -213*h**5/20 - h**4/6 - 8*h**2 + 251*h. What is the third derivative of g(b) wrt b?
-1278
Suppose 8*n = 4*n + 20. Suppose n*v - 2 = 8. What is the second derivative of 3*u - v*u**4 - u**4 - 8*u + 2*u**4 wrt u?
-12*u**2
Suppose 4*q - 1170 = -5*q. Find the second derivative of -59*j - 55*j + j**3 + q*j wrt j.
6*j
Let j(m) be the second derivative of -m**6/15 + 5*m**5/2 - 43*m**4/12 + 10*m + 4. What is the third derivative of j(s) wrt s?
-48*s + 300
Let g(b) be the third derivative of -b**6/30 + b**4/24 + 11*b**3/2 + 18*b**2. Find the first derivative of g(a) wrt a.
-12*a**2 + 1
What is the second derivative of 71*v**2 - 12*v - 2*v - 34*v wrt v?
142
Differentiate -90 + 167 + 106*f**3 + 21*f**3 wrt f.
381*f**2
Let r(b) be the third derivative of b**7/42 + 7*b**5/60 - 155*b**3/6 - 2*b**2 + 53*b. What is the first derivative of r(d) wrt d?
20*d**3 + 14*d
Find the third derivative of -127*z**4 - 124*z**4 + 31*z**2 + 547 - 546 wrt z.
-6024*z
Let p(o) = -94*o**2 - 126*o + 3. Let w(q) = -187*q**2 - 251*q + 5. Let f(h) = -5*p(h) + 3*w(h). Find the second derivative of f(c) wrt c.
-182
Find the first derivative of -16219 + 16170 + 21*s - 80*s wrt s.
-59
Let q(d) = 3*d - 2. Let c be q(3). What is the derivative of -34*m - 28*m + c + 65*m wrt m?
3
Let v(u) = u**3 - 13*u**2 + 11*u + 14. Let w be v(12). Find the third derivative of 136*i**4 + 4*i**w + 0*i**2 - 146*i**4 wrt i.
-240*i
Let j(d) = -17*d**3 - 143*d**2 + 220*d. Let c(q) = 6*q**3 + 48*q**2 - 73*q. Let h(r) = -11*c(r) - 4*j(r). Find the second derivative of h(a) wrt a.
12*a + 88
Let m(c) = -6 - 1 - 3 + c + 2. Let s be m(10). Find the second derivative of 6*f + 5*f**2 - 4*f**2 - f**s - 3*f**2 wrt f.
-6
Let y = -41 - -41. Find the second derivative of 0*z**3 + 16*z - 31*z**4 + 54*z**4 + y*z**3 wrt z.
276*z**2
Find the third derivative of 1050*z**2 + 68*z + 29*z**3 - 213*z + 145*z wrt z.
174
Let k = 1142 - 1142. Let g(y) be the second derivative of 1/4*y**5 + k*y**2 + 0*y**3 - 1/6*y**4 + 0 - 6*y. Find the third derivative of g(w) wrt w.
30
Suppose -5*r - 1 = 2*m + m, 0 = -m + 5*r + 13. Find the second derivative of -4*g + 24*g + g**2 + m*g - 24*g**2 wrt g.
-46
Let h be (9 - (3 + 1))/(-1). Let p(x) = -3*x - 11. Let c be p(h). Find the first derivative of -12 - 14 + c*r + 18 wrt r.
4
Let u(r) be the first derivative of 0*r**5 + 4 + 2/3*r**3 + 0*r + 0*r**4 + 0*r**2 + 4*r**6. Find the third derivative of u(g) wrt g.
1440*g**2
Let c be (-19 + 15)*(-15)/4. Let x be (20/25)/(2/c). What is the third derivative of 7*m**2 + 0*m**2 + x*m**2 + m**2 + 6*m**6 wrt m?
720*m**3
Let z(j) be the second derivative of 0*j**2 - 5/2*j**4 + 0 + 0*j**3 - 23/20*j**5 - j. Find the third derivative of z(h) wrt h.
-138
Let x be 96/(-20)*20/(-3). Let m(j) be the first derivative of x*j**6 - 31*j**6 + j**2 + 3 + 2. Find the second derivative of m(k) wrt k.
120*k**3
Suppose -17 = -a + 2. Suppose -1 = 2*m - a. Find the second derivative of 2*d - d + 9 + 4*d**3 - m wrt d.
24*d
Differentiate -c**2 - 64*c**4 - 366 - 57*c**4 + c**2 + 24*c**4 with respect to c.
-388*c**3
Let t(x) = 19*x**2 + 4*x. Let h(n) = n. Let u(l) = 30*h(l) + 5*t(l). What is the second derivative of u(b) wrt b?
190
Let v(r) = -9*r**3 - 11*r**3 + 15*r**3 + r - 9*r. Let l(u) = -u**4 - 6*u**3 - 8*u. Let x(s) = 5*l(s) - 6*v(s). What is the second derivative of x(y) wrt y?
-60*y**2
Let i(w) be the second derivative of -133*w**5/20 + 143*w**4/12 - 3*w + 2. Find the third derivative of i(a) wrt a.
-798
Let t(u) = -11*u**3 - 8*u**2 + 4. Let o(k) = 15*k**2 + 3 + 33*k**3 - 13 + 3 - 10*k**3. Let x(l) = -4*o(l) - 7*t(l). Find the third derivative of x(h) wrt h.
-90
Let d(l) = -18*l**2 + 49*l + 4. Let k(o) = -17*o**2 + 49*o + 5. Let i(w) = -5*d(w) + 4*k(w). What is the second derivative of i(g) wrt g?
44
Let w(q) = 1 + 5 + 0 - 19 + 7 - 7*q. Suppose t - 2*t = 6. Let o(p) = 15*p + 12. Let b(n) = t*o(n) - 13*w(n). What is the first derivative of b(a) wrt a?
1
Let b(w) = -3*w**5 + 15*w**4 + 102*w - 2. Let v(z) = -z**5 - z**4. Let j(r) = b(r) + v(r). Find the second derivative of j(x) wrt x.
-80*x**3 + 168*x**2
Let j be (-2)/(-8) + (-60)/(-16). What is the third derivative of 30*b**2 - 15*b**4 + 2*b**j + 0*b**4 wrt b?
-312*b
What is the second derivative of 2*j + 150*j**2 - 58*j - j - 44*j wrt j?
300
Suppose p + 0*p - 4 = 0. Find the second derivative of 37*g + 0*g + 25*g**p - 4*g - 37*g**4 wrt g.
-144*g**2
What is the third derivative of 38*u + 82*u**6 - 2*u**2 - 39*u**6 + 6*u**4 - 37*u**6 + 29*u wrt u?
720*u**3 + 144*u
Let w(a) be the second derivative of -14*a**4/3 + a**3/3 - 93*a**2/2 + 11*a. What is the first derivative of w(b) wrt b?
-112*b + 2
Let f(a) = 106*a - 33. Let h(b) = -35*b + 11. Let g(n) = -2*f(n) - 7*h(n). Let d be g(7). What is the derivative of -2 + 220*j - 5*j**3 - d*j wrt j?
-15*j**2
Let i be (-1 - 0) + -6 + 8. Suppose -3*n = -2*a - 8, 3*a = -4 + i. Find the second derivative of -h - h**2 - h**2 + n*h wrt h.
-4
Find the second derivative of n + n**2 - 11*n**2 + 44 + 6*n - 8*n wrt n.
-20
Let y(s) be the first derivative of 78*s**2 + 56*s - 21. What is the first derivative of y(x) wrt x?
156
Let t(d) be the third derivative of -23*d**6/12 - 13*d**5/60 - d**3/3 - d**2 + 61. Find the third derivative of t(w) wrt w.
-1380
Let p = -38 - -41. Find the third derivative of 23*i**2 - 7*i**p - 5*i**3 + 12*i**3 - 19*i**5 wrt i.
-1140*i**2
Let h(i) = i**2 + 4*i - 1. Let d be h(-5). Find the first derivative of -2 - 2*r**3 + 2 - 11*r**3 + d wrt r.
-39*r**2
Let a(h) = h + 35. Let n be a(-25). What is the third derivative of 38*w**3 + n - 8 - 2 + 40*w**2 wrt w?
228
Let j be 8/(-3)*(-162)/4. Let t be 4/14 + j/14. What is the third derivative of 6*p**2 - 253*p + 253*p + t*p**3 wrt p?
48
Let i be 4/6*18*(-3 + 4). Differentiate 18*c - 10 - i + 1 with respect to c.
18
What is the second derivative of 9 + 7*f**4 - 77*f**3 - 15*f + 10*f - 10*f**4 + f**4 - 5*f wrt f?
-24*f**2 - 462*f
What is the third derivative of -512*g**2 + 458*g**2 - 100*g**4 + 511*g**4 wrt g?
9864*g
Let b(r) = -22*r - 37. Let k(i) be the second derivative of i**3/6 - i**2/2 - 26*i. Let t(v) = b(v) - 4*k(v). What is the first derivative of t(z) wrt z?
-26
What is the second derivative of -101*n + 229*n**3 - 69*n**3 + 17*n - 11*n wrt n?
960*n
Let p(x) be the third derivative of -1/20*x**6 + 1/24*x**4 + 0*x**5 + x**2 - 2*x**3 + 0*x + 5. What is the second derivative of p(w) wrt w?
-36*w
Let i(t) = 2*t - 12. Let p be i(7). Suppose -4*w - p*l = -6, -w + 4*l = 12 - 36. What is the third derivative of -15*r**2 + w*r**2 + r**4 + r**4 + 4*r**2 wrt r?
48*r
Let z(s) = s**3 + 4*s. Let m(w) = 393*w**3 + 18*w**2 - 11*w. Let j(l) = -m(l) - 3*z(l). Find the third derivative of j(p) wrt p.
-2376
Let n(t) be the second derivative of -1/6*t**3 + 2 + 21*t**2 - 3*t + t**5 + 0*t**4. Find the second derivative of n(k) wrt k.
120*k
Let k be (-4)/(-6) - 4/(-3). Suppose -12 = k*o - 5*o. Find the second derivative of 0*f**4 + 3*f**4 - 6*f + 0*f - 2*f**o wrt f.
12*f**2
Let r(g) be the second derivative of -2*g**6/15 - g**4/12 - 2*g**3/3 - 4*g**2 - 15*g. Find the second derivative of r(k) wrt k.
-48*k**2 - 2
Let y(a) = a**2 + 6*a + 6. Let n be y(-6). Let c be (-3)/n*6*-1. Differentiate 3 + 3*w**4 - 42*w**c + 42*w**3 with respect to w.
12*w**3
Let j(d) = 112*d**4 - 3*d**3 + 23*d**2 - 6. Let k(g) = -g**4 + g**3 + 2. Let r(a) = j(a) + 3*k(a). Find the third derivative of r(u) wrt u.
2616*u
Let j(p) = -253*p**3 - 304*p**2 + 5*p - 10. Let h(n) = 126*n**3 + 151*n**2 - 2*n + 4. Let b(y) = -5*h(y) - 2*j(y). What is the third derivative of b(r) wrt r?
-744
Let w(v) = 23*v**3 + 396*v + 12. Let s(o) = -46*o**3 - 790*o - 22. Let r(x) = -6*s(x) - 11*w(x). Find the second derivative of r(z) wrt z.
138*z
Let c(s) be the second derivative of -59*s**6/30 - s**5/10 - 107*s**4/12 + s + 15. What is the third derivative of c(d) wrt d?
-1416*d - 12
Let p(t) be the second derivative of -14*t + 0*t**5 + 0*t**3 + 3/7*t**7 - 1/2*t**4 + 0*t**2 + 0*t**6 + 0 | {
"pile_set_name": "DM Mathematics"
} |
und 0.010526528 to two decimal places.
0.01
Round 188.0667112 to the nearest ten.
190
What is -5549546.28 rounded to the nearest 1000000?
-6000000
What is -61906.9439 rounded to the nearest 10000?
-60000
What is 5.082397014 rounded to 4 dps?
5.0824
Round 3067.14736 to the nearest integer.
3067
Round 0.00080478049 to 4 dps.
0.0008
What is -0.000003907853 rounded to seven decimal places?
-0.0000039
Round 52.892351 to the nearest 10.
50
What is 1552386.9 rounded to the nearest ten thousand?
1550000
Round 783570.4 to the nearest ten thousand.
780000
What is 3.2397384404 rounded to 4 dps?
3.2397
Round 1621248.25 to the nearest one thousand.
1621000
Round 1.18243908 to 3 decimal places.
1.182
Round -2969356926 to the nearest one million.
-2969000000
Round 2213071.01 to the nearest 100.
2213100
Round -3364.596848 to 0 dps.
-3365
Round -27957.5249 to zero dps.
-27958
Round -365372852.2 to the nearest 10000.
-365370000
Round -9.71303827 to the nearest integer.
-10
Round -30559574.5 to the nearest ten thousand.
-30560000
Round -1884.768477 to the nearest integer.
-1885
Round -0.00207660932 to 7 decimal places.
-0.0020766
What is 92359810 rounded to the nearest 10000?
92360000
What is 3860.78601 rounded to one dp?
3860.8
What is 3123476650 rounded to the nearest one hundred thousand?
3123500000
Round 417.801795 to 2 decimal places.
417.8
What is 0.0001525712326 rounded to 7 dps?
0.0001526
What is 4.1079105 rounded to zero decimal places?
4
Round 1589745.3603 to the nearest 10.
1589750
What is 0.00000204091171 rounded to seven decimal places?
0.000002
Round -1241371.27 to the nearest 100000.
-1200000
Round -0.00145392777 to 7 dps.
-0.0014539
Round -20.1267584 to 1 decimal place.
-20.1
What is 72126.366 rounded to the nearest one thousand?
72000
Round 3220581.9 to the nearest one million.
3000000
Round 42.910779 to two dps.
42.91
What is 631.921852 rounded to the nearest ten?
630
What is 0.19446073 rounded to two dps?
0.19
What is -5594409.504 rounded to the nearest one hundred thousand?
-5600000
Round -0.00000137732724 to seven dps.
-0.0000014
Round -0.0070029193 to 4 decimal places.
-0.007
What is 0.001345540127 rounded to seven dps?
0.0013455
What is 2699.47135 rounded to the nearest ten?
2700
Round -0.0321359548 to 5 dps.
-0.03214
What is 11.25139221 rounded to the nearest integer?
11
What is 136339780 rounded to the nearest one hundred thousand?
136300000
What is -2036.234263 rounded to the nearest one hundred?
-2000
Round -551142048 to the nearest ten thousand.
-551140000
What is 0.000108908334 rounded to 4 decimal places?
0.0001
What is 179200.3729 rounded to the nearest 1000?
179000
Round -0.606962633 to 1 dp.
-0.6
What is 14.3390492 rounded to the nearest ten?
10
What is -0.03900018085 rounded to 2 decimal places?
-0.04
Round 755.12098 to the nearest ten.
760
Round 85.6300616 to the nearest 10.
90
What is -2.7044535 rounded to 2 decimal places?
-2.7
Round -41736.52944 to the nearest ten thousand.
-40000
Round 2213.41913 to the nearest integer.
2213
Round -61.949621 to zero dps.
-62
What is 0.88338974 rounded to three decimal places?
0.883
Round 0.004954054725 to seven decimal places.
0.0049541
What is 950.49271 rounded to the nearest integer?
950
What is 3238380.438 rounded to the nearest 100000?
3200000
Round -0.1702261266 to 2 decimal places.
-0.17
Round 770.62784 to 0 decimal places.
771
What is -85.045424 rounded to the nearest 100?
-100
What is 0.011450294 rounded to five dps?
0.01145
What is -0.02165342465 rounded to four dps?
-0.0217
What is -97709226 rounded to the nearest 100000?
-97700000
What is 252.2701133 rounded to two dps?
252.27
Round -0.00287791071 to seven decimal places.
-0.0028779
Round 0.3123195 to four dps.
0.3123
What is -0.0576130295 rounded to five dps?
-0.05761
What is 92562487 rounded to the nearest ten thousand?
92560000
Round 5083970010 to the nearest 1000000.
5084000000
What is -13701263.5 rounded to the nearest ten thousand?
-13700000
What is -0.0007103610111 rounded to six dps?
-0.00071
What is -0.000002193699659 rounded to 7 dps?
-0.0000022
Round -20439.5127 to 0 decimal places.
-20440
Round 132.39293452 to the nearest 10.
130
Round -0.0000136547528 to 6 dps.
-0.000014
Round -309187972.7 to the nearest one million.
-309000000
Round -964614.07 to the nearest 1000.
-965000
Round -0.052476505 to 5 decimal places.
-0.05248
What is -1017.5977279 rounded to the nearest 10?
-1020
Round -432070.03 to the nearest 100.
-432100
What is 0.000132385086 rounded to five decimal places?
0.00013
Round 1076487.04 to the nearest 100000.
1100000
Round 0.0000041598919 to seven decimal places.
0.0000042
Round 53854824.8 to the nearest 100000.
53900000
Round 522459.904 to the nearest 10000.
520000
What is -3727311.3 rounded to the nearest 1000?
-3727000
What is -153.83491912 rounded to 1 dp?
-153.8
Round -6110447.8 to the nearest one thousand.
-6110000
Round -3317919000 to the nearest 100000.
-3317900000
What is 17416056902 rounded to the nearest one hundred thousand?
17416100000
Round 2.7327232 to the nearest integer.
3
What is -0.353033668 rounded to five decimal places?
-0.35303
Round 1633255.26 to the nearest 10000.
1630000
Round 0.00000289345933 to 7 decimal places.
0.0000029
What is -169688.0442 rounded to the nearest 100000?
-200000
What is 182885483 rounded to the nearest 1000000?
183000000
What is -1.835104551 rounded to one decimal place?
-1.8
What is -0.1276491681 rounded to five decimal places?
-0.12765
Round 3106846.12 to the nearest 100000.
3100000
What is -0.015664673 rounded to 2 dps?
-0.02
Round 37.8032367 to one dp.
37.8
What is -60398361 rounded to the nearest one million?
-60000000
What is 1705811.58 rounded to the nearest 100000?
1700000
Round 2693.78798 to the nearest integer.
2694
What is 0.00262309672 rounded to four dps?
0.0026
What is 0.0015530197 rounded to four decimal places?
0.0016
Round 1645.9192 to the nearest 10.
1650
What is -5.330537612 rounded to 0 dps?
-5
What is -532396.5653 rounded to the nearest ten?
-532400
Round -84.886188 to zero dps.
-85
Round 0.000494547857 to six decimal places.
0.000495
What is 0.000761347336 rounded to four dps?
0.0008
Round -29327.591 to the nearest one thousand.
-29000
Round -14753835.4 to the nearest 10000.
-14750000
What is -2.267531 rounded to 2 dps?
-2.27
What is 4.988543966 rounded to 1 dp?
5
Round -5.55590941 to one dp.
-5.6
What is 0.000384964413 rounded to five decimal places?
0.00038
What is -0.000323324222 rounded to four dps?
-0.0003
Round -0.0336280276 to 4 decimal places.
-0.0336
Round -718.0324 to the nearest integer.
-718
Round -53.81103084 to 2 dps.
-53.81
What is -0.5796290813 rounded to 4 decimal places?
-0.5796
What is -0.000008325843562 rounded to 6 decimal places?
-0.000008
What is 3139.20051 rounded to the nearest 100?
3100
What is 0.000000748394151 rounded to seven decimal places?
0.0000007
Round 4332.07933 to the nearest 100.
4300
Round 74347578.1 to the nearest one million.
74000000
Round -86.44511 to 2 dps.
-86.45
Round -0.0184811679 to 5 decimal places.
-0.01848
What is 0.00009886427007 rounded to 5 dps?
0.0001
Round -3.647179724 to the nearest integer.
-4
What is 7.86962693 rounded to 1 dp?
7.9
Round -4473811.689 to the nearest one hundred thousand.
-4500000
What is 655548.73 rounded to the nearest 10000?
660000
What is 1561777.3 rounded to the nearest one hundred thousand?
1600000
What is -1.042633777 rounded to 2 dps?
-1.04
What is 92211.05 rounded to the nearest 100?
92200
Round 808.5816494 to 1 dp.
808.6
Round 714977462 to the nearest 10000.
714980000
Round -0.00000079429541 to 7 dps.
-0.0000008
Round 10337334904 to the nearest one million.
10337000000
Round 20723.9285 to the nearest 10.
20720
What is -0.425185043 rounded to two dps?
-0.43
What is 0.0008188643945 rounded to 7 decimal places?
0.0008189
What is -0.0532615732 rounded to 3 dps?
-0.053
What is 2.6556757 rounded to 3 dps?
2.656
Round 1805433490 to the nearest one hundred thousand.
1805400000
What is -0.789351225 rounded to two dps?
-0.79
What is -213.340888 rounded to the nearest ten?
-210
Round -0.00250535376 to seven dps.
-0.0025054
Round -0.0000690384858 to five dps.
-0.00007
Round 4116.9648 to the nearest 100.
4100
What is 1131.9718 rounded to the nearest 10?
1130
What i | {
"pile_set_name": "DM Mathematics"
} |
-2 and 22.
-44
51*0.05
2.55
76 * -0.4
-30.4
What is the product of -4 and -476?
1904
-6.812*4
-27.248
0.0457*-8
-0.3656
What is 0.0279 times -2?
-0.0558
42*0.29
12.18
What is the product of -971 and -5?
4855
Multiply -0.58 and 0.2.
-0.116
Multiply -0.4 and -199.
79.6
What is the product of -4 and 5?
-20
Work out -0.1 * 33.
-3.3
What is the product of -4 and 899.3?
-3597.2
8 * -46
-368
What is the product of -0.049 and 0.7?
-0.0343
0 * -330
0
What is 16 times -2.2?
-35.2
Product of -257 and -0.3.
77.1
Product of 0.14 and -0.02.
-0.0028
Work out 26.44 * -0.09.
-2.3796
0.9*14.6
13.14
Product of 3 and -5.65.
-16.95
Work out -0.5 * 0.79.
-0.395
-1978 * 1
-1978
3 * 197.7
593.1
Calculate 28*-18.
-504
Calculate -196.3*-8.
1570.4
Calculate 2*-0.161.
-0.322
Product of -9 and 1.19.
-10.71
Multiply 2 and 788.
1576
Calculate -0.096*-1.
0.096
-0.02 times 127
-2.54
What is the product of 125 and 4?
500
Multiply 8.4 and -79.
-663.6
6*-51
-306
-1.593*-1
1.593
Calculate 111*5.
555
-3*0.26
-0.78
What is the product of 0.06 and 92?
5.52
Product of 0.5 and -163.
-81.5
1 * 9.6
9.6
-8449 * -0.3
2534.7
Multiply 1 and -0.07.
-0.07
9205 * -0.3
-2761.5
What is 0.755 times -19?
-14.345
Work out 0.5 * -376.
-188
What is -5912 times 0.6?
-3547.2
Calculate -0.2*-264.
52.8
Multiply 0.7 and -250.
-175
Work out -260 * -0.03.
7.8
What is -0.3 times 45?
-13.5
0 * 1625
0
Product of -0.348 and 3.
-1.044
What is the product of -15 and 80?
-1200
What is -5 times -54?
270
What is the product of -0.1 and 547?
-54.7
Work out 16842 * -2.
-33684
What is -1 times 2.7?
-2.7
-18 times 92
-1656
1.97 * -2
-3.94
What is the product of 0.08 and 3342?
267.36
What is the product of 0.2 and 3.6?
0.72
Calculate -28*-0.5.
14
Multiply 55.5 and 0.3.
16.65
Multiply 26 and 27.
702
-0.489*6.7
-3.2763
Product of 4 and -365.
-1460
What is 0.7 times 3.8?
2.66
Work out -2.14 * -1.
2.14
0.054*0.01
0.00054
Work out -0.21 * -7.1.
1.491
Work out 0.2 * 0.11.
0.022
Calculate -4*0.62.
-2.48
Product of 210 and -0.1.
-21
Multiply 1 and -0.1583.
-0.1583
What is the product of 1 and 1?
1
Multiply -154.8 and -5.
774
Work out 0.4 * -0.0479.
-0.01916
What is the product of 105 and 0.005?
0.525
1.17 times -3
-3.51
Product of 0.34 and -0.5.
-0.17
Calculate -2060*-2.
4120
Work out 0.06 * 3.1.
0.186
0.05 times 0.238
0.0119
What is 0.9 times 13?
11.7
Calculate -2*165.6.
-331.2
Calculate 0.1*861.
86.1
0.2 times 0.21
0.042
-84 * -2
168
3 * 1067
3201
Product of 1 and -70.
-70
Work out 0.066 * -72.
-4.752
What is the product of 56 and -0.06?
-3.36
Calculate -147.7*9.
-1329.3
-4.954 * 5
-24.77
Multiply 6045 and -0.5.
-3022.5
Work out 5 * -0.0658.
-0.329
-5332*0.1
-533.2
Multiply 4 and -9.19.
-36.76
Work out -28774 * 1.
-28774
Multiply -2772 and 4.
-11088
Calculate -0.5*-116.
58
-5 * -1649
8245
0.1*30.5
3.05
0.4 * -0.0033
-0.00132
38.22 times -1.1
-42.042
What is 4389 times 4?
17556
Multiply 1 and 2.2.
2.2
What is 0.3 times -0.044?
-0.0132
Product of 0.5 and 63.
31.5
Work out -41.5 * 15.
-622.5
Multiply -1128 and 0.1.
-112.8
Calculate -4*244.
-976
Work out -7 * -2.9.
20.3
Work out 0.85 * 5.
4.25
-581*-4
2324
Product of 1261 and -1.
-1261
Calculate 113*-25.
-2825
0.42 * -2
-0.84
228 * -19
-4332
What is the product of 0.0252 and 0.5?
0.0126
-84*18
-1512
What is the product of 37.9 and -6.3?
-238.77
-0.5 times 389
-194.5
Product of -1.5 and 2062.
-3093
What is 0.3 times 3.9?
1.17
4*563
2252
4318*-0.1
-431.8
4 * 24
96
Work out -0.0761 * -0.4.
0.03044
Calculate 12*1409.
16908
0.2 times 2651
530.2
-160 times 2
-320
0.5 * 0.115
0.0575
Work out -2078 * -3.
6234
What is the product of 1.15 and 39?
44.85
4*-7
-28
Work out -18 * 1.3.
-23.4
Product of -0.01 and 0.5.
-0.005
0.5 times 0.029
0.0145
Multiply -0.5 and 77.
-38.5
Work out -28.66 * -5.
143.3
Calculate -0.3*-0.21.
0.063
Product of -8 and 6.
-48
Product of -0.152 and -0.2.
0.0304
What is -49 times 204?
-9996
Product of 5329 and 0.4.
2131.6
-0.12*-0.191
0.02292
705*4
2820
Work out 24 * -53.
-1272
Multiply 0.1 and 45.
4.5
-10*5
-50
Work out 0.497 * 1.
0.497
Calculate -0.28*93.
-26.04
Product of -0.36 and -3.
1.08
Calculate 5*0.25.
1.25
Calculate -1061*0.07.
-74.27
Calculate -0.057*-0.3.
0.0171
-0.12*-14.9
1.788
0.255 * -1
-0.255
Multiply -202 and 8.
-1616
Calculate 0.5*0.58.
0.29
What is -5 times 11.1?
-55.5
What is the product of -3 and 0.21?
-0.63
Product of 2 and 1.48.
2.96
-0.2 times 63
-12.6
-1.5*0.8
-1.2
Product of 73 and -0.083.
-6.059
16 * -1
-16
Calculate 8.54*6.
51.24
-2.5 * 11
-27.5
What is -0.024 times 0.07?
-0.00168
What is -11 times 1?
-11
What is 209 times -0.4?
-83.6
-80 times 1.13
-90.4
Multiply 0.0635 and -7.
-0.4445
What is -0.1 times -0.068?
0.0068
-2.8 * -7
19.6
0.703 * -1
-0.703
Calculate -4*-7.02.
28.08
-0.2 * -173
34.6
Calculate 275*-29.
-7975
Calculate -39*-0.08.
3.12
Product of -0.244 and 5.
-1.22
Multiply 0.32 and 1.4.
0.448
-0.1 * -3.5
0.35
Calculate -11442*-0.3.
3432.6
Calculate -0.52*0.5.
-0.26
3.2 * 1
3.2
-84*-1
84
0.65*-0.06
-0.039
Calculate -66*-283.
18678
What is the product of 1.5 and -0.1?
-0.15
Work out -0.6 * -2678.
1606.8
35 times 0.3
10.5
Calculate -2010*-5.
10050
Multiply 0.2 and 1147.
229.4
Work out -1 * 0.01227.
-0.01227
Multiply -0.19 and -0.04.
0.0076
0*-141
0
Work out -2.615 * 0.3.
-0.7845
Calculate 1593.3*-0.4.
-637.32
1.7*-1
-1.7
737*1
737
Work out 218 * -13.
-2834
Product of 0.1 and 4481.
448.1
Work out 8311 * -1.
-8311
-49*15
-735
Calculate -0.6*62.
-37.2
1.529*-0.08
-0.12232
24.16 * -0.1
-2.416
What is 3.77 times -0.3?
-1.131
What is the product of 0.2 and 2.295?
0.459
Product of -7.2 and 0.12.
-0.864
0.040789 times -1
-0.040789
Work out 0.04 * 17.6.
0.704
-2*-2.4
4.8
-0.3 times 2.7
-0.81
Calculate -1589*0.1.
-158.9
Multiply 1 and 310.
310
-5 * -103
515
Calculate -1*-11.21.
11.21
Multiply -0.619 and -0.5.
0.3095
-0.21*-1
0.21
-0.5 * -0.16
0.08
3 * 45.6
136.8
Multiply -0.4 and 1039.
-415.6
-0.2973 * 0.3
-0.08919
What is the product of -16.3 and -0.48?
7.824
Product of -3.06 and -0.1.
0.306
Multiply 79 and -89.
-7031
Product of -6 and 698.
-4188
Multiply -41.1 and 0.1.
-4.11
Product of -5949 and 2.
-11898
3.1*0.43
1.333
-6 times -17.2
103.2
Product of -0.095 and -0.07.
0.00665
Product of -11.9 and -0.6.
7.14
Work out -0.4 * -11.
4.4
Work out -5 * -9.5.
47.5
3 * -17
-51
Calculate 0.3*0.08.
0.024
Work out -38 * 49.
-1862
What is the product of -3.5 and -8?
28
-0.1 * 0.7836
-0.07836
What is -0.2 times -108.8?
21.76
55 times -7
-385
Multiply 0.3 and 1.5.
0.45
Work out -666.3 * 0.1.
-66.63
Calculate 0.4*-20.
-8
Multiply 122 and -0.21.
-25.62
0.46*0.54
0.2484
What is 0.0263 times -0.051?
-0.0013413
Work out 5 * 255.
1275
What is the product of -0.6 and 1480?
-888
What is the product of 33.1 and 0?
0
What is the product of 2 and -33?
-66
2 times -40
-80
-0.09*6
-0.54
Work out 9 * 44.
396
Calculate 0.072*-0.3.
-0.0216
What is the product of -1.5 and 60?
-90
Calculate 0.13*0.08.
0.0104
Product of -3603 and 0.1.
-360.3
Calculate -2*-176.
352
-0.047 * -0.0299
0.0014053
What is the product of 0.2 and -112?
-22.4
Multiply -0.073 and 1.
-0.073
What is -484 times 1.6?
-774.4
What is -0.7 times 14?
-9.8
Product of -27 and 45.
-1215
Product of -0.4 and 9.6.
-3.84
-0.3 * -0.68
0.204
0 * -283
0
-2 * 338
-676
1.2 times 0.5
0.6
96 times 0.05
4.8
0.09 * 0
0
-0.08 times -31
2.48
Product of -594 and -0.4.
237.6
Work out 11 * -100.
-1100
-105 times 0.5
-52.5
Product of 0.4 and -343.
-137.2
-0.6 * 9.5
-5.7
Work out 22 * 14.
308
Product of 0.6 and -27.1.
-16.26
0.3 * -23
-6.9
Product of -25 and -0.5.
12.5
-1 * 89
-89
Calculate -3*2860.
-8580
Calculate 22*-6.
-132
19.2 * 5
96
Multiply -3.3 and 14.
-46.2
Multiply 37 and -64.
-2368
-0.54 times -82
44.28
757 * -4
-3028
Calculate -126*-0.3.
37.8
What is the product of -0.8 and -0.17?
0.136
Product of -145 and -0.7.
101.5
Multiply -0.3 and -6.4.
1.92
4*-2.88
-11.52
-0.137*-9
1.233
75.5 times 2
151
Calculate -0.151*0.5.
-0.0755
Work out 370 * -1.2.
-444
Product of -2.3 and -6.
13.8
What is the product of 0.008 and 21?
0.168
Multiply 94 and 8.
752
Multiply -0.057435 and 0.1.
-0.0057435
17.803 times 5
89.015
0.07 * -1
-0.07
Product of 5 and 293.
1465
Work out -3 * 0.26.
-0.78
What is -2 times 0.3078?
-0.6156
Product of -0.2 and 3.49.
-0.698
What is the product of -5 and -193?
965
22 * 140
3080
-178 * -14
2492
What is the | {
"pile_set_name": "DM Mathematics"
} |
z - 16 = 5 + 74. Solve 28*a + 135 + z = 0 for a.
-5
Let m = 12621 + -12606. Solve 448 = -m*j + 433 for j.
-1
Let n be (-526 - -523) + (48/(-10))/((-3)/60). Solve -25*x = -n + 268 for x.
-7
Let m = -337 + 340. Suppose 2*g - 28 = -m*c, 2*c - 9*g - 26 = -14*g. Solve 8*b + c = 6*b for b.
-4
Suppose -25*t = -70 - 30. Suppose -g - 5 = -2*r - 1, t*r + 4*g - 20 = 0. Solve r*k = k - 6 for k.
-3
Let s(z) = -z**3 + 20*z**2. Let a be s(20). Suppose a = -4*r - 20, -4*u + 5*r = -63 + 18. Solve -u*k - 1 = -21 for k.
4
Let t = -27 + 31. Suppose -8 = t*j - 4*k + 12, 0 = -5*j - 4*k - 34. Let f be (-54)/(-12)*j/(-9). Solve -4 + f = -w for w.
1
Let u(o) = -o**2 + 4*o + 1. Let l be u(3). Suppose -9 = -9*p - 81, -4*a + 92 = -4*p. Solve -l*j - a = -j for j.
-5
Let u be 32 - (4 - (-9)/2*(-90)/(-135)). Solve -32*g + u*g = -42 for g.
6
Suppose 0 = p + 127*p - 2486 + 438. Solve 23 - 71 = -p*i for i.
3
Let h = -236 + 190. Let u be h/(-6) + 0 - 53/(-159). Solve d = -d - u for d.
-4
Let m be 4/12*(-6)/(-1). Let a(q) = q**3 + 5*q**2 - 3*q - 3. Let r be a(-3). Suppose r*n = 19*n + 75. Solve m*o = 7*o + n for o.
-3
Let i(v) = -v**2 - 18*v - 14. Let u be i(-17). Let w be 2/(u - 76/28). Suppose -k - 1 = -6. Solve 0 = -k*p + 8 + w for p.
3
Let w be 22/33 + (-538)/(-9)*3. Let u = -180 + w. Solve 12*q - 13*q = u for q.
0
Suppose 1010 = 4*m - 5*n, -n = -m + 7*n + 293. Solve m = -96*b - 427 for b.
-7
Suppose 45*h = 21*h - 336. Let f be 4/h - (-11)/(231/6). Solve f = 10*i - 9*i - 1 for i.
1
Let v be (-6)/48*-12*44. Suppose 2*o - v = -4*y - 0*o, -5*y = 5*o - 85. Solve 0 = 2*n + 6*n + y for n.
-2
Let o(c) = -c**3 + 6*c**2 - 15. Let i be o(5). Suppose -2*t = -2*y - 2, -5*t + y + 17 = -y. Solve i = -t*s + 30 for s.
4
Suppose -2*j + 970 = -l + 966, 4*l - 2*j = -4. Solve l = 39*g + 132 + 63 for g.
-5
Let u(h) = 1. Let r(s) = -13*s - 58. Let g(i) = -r(i) - 6*u(i). Let a be g(-4). Solve 5*w - 6*w = a for w.
0
Suppose 2*a - 2*r = 32, 224*a - 220*a + 3*r = 71. Solve -25*p + a*p + 24 = 0 for p.
3
Suppose 5*i - 6*i + 4*b + 5 = 0, 3*i = -3*b. Let k be i + -1 + 5 - 3. Let v = 2 - -2. Solve -k*m + 2 = -v for m.
3
Suppose -9*g + 10*g - 2 = 0. Suppose 5*y + 16 = 4*z, 0 = y + 5*z - 34 + 14. Suppose 0 = -4*n + 4*t - 8, -3*n + 5*t = -5*n + 10. Solve g*d + n*d = y for d.
0
Suppose 0 = 61*g - 60*g + 3*z - 33, -5*g = -2*z - 114. Suppose -2*a = -2*c - 2, -g = -3*a + 14*c - 18*c. Solve -a - 16 = -4*q for q.
5
Suppose -2*v + y + 4 = 0, -3*y + 8 = -y. Let t(a) = -a**2 + 2*a + 12. Let d(o) = 1. Let m(w) = -2*d(w) + t(w). Let p be m(v). Solve 2 = -p*q + 4*q for q.
1
Let o(m) = m**2 - 5*m - 26. Let g be o(-3). Let d(k) = k**2 + 13*k + 26. Let f be d(g). Solve 2*r = r - f for r.
-4
Let n be (-2)/10 + 22/10. Let l(k) = -40*k - 2. Let i be l(-1). Suppose -5*x - 1 = 2*t, -i = 5*t - 9*t - 2*x. Solve f + n*f - t = 0 for f.
4
Let p(z) = 4*z + 6*z + 3*z + z**2 + 24. Let g be p(-11). Suppose 56 = g*l + 2*h, 2*h = 3*l - 2*h - 63. Solve -4*q - q = l for q.
-5
Let f be ((30/(-12))/((-1)/(-2)))/(-1). Suppose -3*s - 29 = -5*y, f*y + 29 = -2*s + 43. Solve 2*v - y = -10 for v.
-3
Suppose -5*y + 5*j + 20 = 0, 5*y - 4*j - 24 = -j. Suppose 4*g + y*g = 30. Solve 2*t + g = t for t.
-3
Let r be 7 - ((-1)/(-5) - (-42)/15). Suppose r*k - q = -12, -3*k + q + 3*q + 4 = 0. Let p be (k - -3)*-1 - -4. Solve -f = -p*f for f.
0
Suppose 92 = 47*a - 2. Suppose -y + 2*n = -15, -25 = -3*y - a*n + 4*n. Solve 0 = 5*g + y - 15 for g.
2
Suppose -29*p - 670 - 113 = 0. Let q = 146 - 98. Let c be (4/(q/(-9)))/(p/144). Solve 0 = -b + c for b.
4
Let q(s) = -19 - 4*s - 3 - 2. Let o(d) = d + 6. Let a(g) = 18*o(g) + 4*q(g). Let r be a(-5). Solve 5 = r*c + 3*c for c.
1
Let n(w) = -w**2 - 15*w + 34. Let c be n(-18). Let s be ((-15)/c)/((-27)/(-72)). Solve -9 = -l - s*l for l.
3
Let i be 1 - (1 + -1 + -7). Let c be 1 + (7 - i - -10). Solve 2*b = -3*b - c for b.
-2
Let f be (-3466)/4 - (-15)/10. Let z = -861 - f. Solve -4 = -z*r + 16 for r.
5
Suppose 4*c + 5*x + 21 = 3*c, -5*x = 3*c + 13. Let o be ((-2)/4)/(c/(-16)). Suppose -3*s - 22 = -5*s + 5*f, 3*f = o*s - 18. Solve 5*l + s = 31 for l.
5
Suppose 51*c = 18*c + 696 + 129. Solve -41*p - 303 - c = 0 for p.
-8
Let b(f) = -9*f**2 + 222*f + 322. Let g be b(26). Solve 29 = -g*i + 19 for i.
-1
Let f be 8/(-28) + (-66)/14. Let x(p) = -4*p + 3. Let n be x(f). Let v = -10556 - -10559. Solve v = 4*m + n for m.
-5
Suppose -3024 = -488*q + 236*q. Solve -q*c - 51 = -135 for c.
7
Suppose 3*s - 8*s + j + 648 = 0, -5*j = -10. Let g be (-3)/(-5) - (-442)/s. Solve 0 = 7*v - g*v for v.
0
Let g(z) = z**3 - 2*z**2 + 3*z - 1. Let m be g(2). Let j be 1 + -5 + 16 - 1*3. Let x be (-2 + 24/j)/((-2)/(-51)). Solve m*o + 8 = -x for o.
-5
Let g be 34 - (1 + -8 - -4). Suppose 49 - g = 4*y. Suppose 3*w - 3 + 0 = -y*i, 0 = i + 3. Solve w*f = -1 + 9 for f.
2
Suppose 0 = -3*v - s + 9, 0 = -26*v + 27*v + 2*s - 3. Solve -v*g + g + 5*g = 0 for g.
0
Suppose -7 = 3*d - 22. Let c = 11 + -19. Let s be (c/5)/((-6)/15). Solve -y - s*y = d for y.
-1
Let j be (-1 + (5 - 2))/1. Let t be -1 + (4*2/(-18))/(462/(-4158)). Solve -j*u + 5 = -t*u for u.
-5
Let p(a) = 12*a**2 - a - 1. Let d be p(-1). Suppose -2*u = -3*g + 69, -g - 2058*u + 21 = -2059*u. Solve 5*y = -g + d for y.
-3
Let t = 168 - 127. Suppose 0 = t*y - 46*y + 10. Solve d - y = 3*d for d.
-1
Let s(x) = 56*x + 89. Let d be s(-7). Let a = d + 306. Solve 3*f + 0*f - a = 0 for f.
1
Suppose 0 = 5*a - 3*w + 60, -a + 2*w - 8 - 11 = 0. Let h(r) = 2*r**2 + 16*r - 12. Let n be h(a). Solve n*m = -m for m.
0
Let n be (25 - 25)*1/3. Solve 0 = -13*k - 39 - n for k.
-3
Suppose -4*l + 52 = 3*a - 105, a - 47 = 4*l. Solve 147 - a = 32*q for q.
3
Let y(v) = -48*v**2 + 47*v**2 - 5 - v + 0*v + 38. Let d be y(5). Suppose 0 = 3*f + 2*t - 2, -t - 1 + 2 = -4*f. Solve f = d*i - 6*i + 6 for i.
2
Suppose 4*r = -2*z + 30, -507*r - 4*z = -511*r. Solve 4*c = r*c - 5 for c.
5
Suppose -11*x + 24*x - 1664 = 0. Let u = x - 123. Solve -7*h = -12*h + u for h.
1
Suppose 5*d - 14 = -4*v - 0*v, 2*v + 6 = 4*d. Let g be (-18)/(-12) + 2 - (-4)/8. Suppose 0 = -3*f + 5*k + 15 + 9, g*k = -12. Solve -n + f = -d*n for n.
-3
Suppose 85*t - 21 = -4*p + 86*t, 2*p = 3*t + 23. Let g(b) = -1 + b - 7*b - 5*b**2 - b**3 + 0*b**3. Let d be g(-4). Solve 0 = p*n - d*n - 6 for n.
-2
Let j = 19354 + -18500. Solve 865*y - j*y = -55 for y.
-5
Suppose -2*t + 12 = 4*b, -b + 4*t + 2 = 8. Let d = 55 - 55. Suppose 4*w = a - d - 17, -3*w = 3*a - 6. Solve a*x - b = -7 for x.
-1
Suppose 0 = 5*y + l - 10, -y - 5*l + 8 = 6. Let i be 0/1*y/(4 - 6). Solve -7*a + 2*a = i for a.
0
Let v be 1/(226/(-590) + (104/(-65))/(-4)). Solve v*m = 54*m + 10 for m.
2
Let f(c) = -c**3 + 4*c**2 + 58*c + 8. Let n be f(-6). Let q be 100/(-6)*(-24)/n - 4. Solve q*v - 25 = 11*v for v.
5
Let c = -49 + 75. Suppose 22*b - c*b = -380. Let w = b + -90. Solve s = w*s for s.
0
Suppose 0 = 5*r - 17 - 13. Suppose 0 = 31*y - 7*y - 108 + 12. Solve -r*s = -2*s + y for s.
-1
Let a = 78 - 82. Let x(b) = -3*b**2 + 6*b + 11 + 4*b**2 + 0*b**2. Let r be x(a). Solve r + 7 = -2*h for h.
-5
Let i = -375 + 370. Let y(p) = -p**2 - 29*p - 114. Let d be y(i). Solve 0*u - 3*u + d = 0 for u.
2
Let w be (-3)/(-2) - (-10 - (-17)/2). Let q = -14 + 41. Suppose 4*a - w*d = q, 0*a - 19 = 2*a + 5*d. Solve -1 = -j - a for j.
-2
Let u(z) = -10*z**3 + 465*z**2 - 227*z + 11. Let s be u(46). Solve -23*i - s + 80 = 0 for i.
-3
Let m = -2499 - -2507. Solve -m*i + 2*i + 30 = 0 for i.
5
Let x be 30/(-225) + (-244)/(-30). Suppose o - 3*r + 8*r + x = 0, 5*r + 120 = -5*o. Let n = -22 - o. Solve -b + 3 = n for b.
-3
Suppose 22*o - 11*o = 246 + 326. Solve o*x + 78 = 26*x for x.
-3
Let a = -273 - -293. Suppose 2*f + 54 = a*f. Solve f = -y - 0*y for y.
-3
Let f = 541 + -539. Suppose i - 5*c + 4 = 0, 5*i = -6*c + f*c + 9. Solve -2*v = -v - i for v.
1
Let o be -1 - (9/18 + (-3)/2). Suppose -5*y + o*y + 25 = -5*z, 3*z = 9. Solve -4*q + y*q = 0 for q.
0
Let x(u) be the first derivative of -u**3/3 + 3*u**2 + 4*u + 14. Let l be x(6). Solve 0 = l*q - 2*q for q.
0
Let u(c) = c**3 - 50*c**2 - 104*c + 93. Let x be u(52). Solve -12*o - 19*o = x for o.
-3
Let h = 3166 - 3164. Solve 0 = 7*r - h*r - 10 for r.
2
Let o be ((-1518)/92)/((-1)/12). Let v = o + -192. Solve v*l = -2*l + 32 for l.
4
Let d(q) be the first derivative of q**4/6 + 8*q**3/3 + 17*q**2 | {
"pile_set_name": "DM Mathematics"
} |
smaller: -5 or 77?
-5
Which is smaller: 7 or -72?
-72
Which is smaller: 482 or -0.1?
-0.1
Is 2/875 < 1?
True
Which is bigger: -5 or 5/4?
5/4
Is -540 smaller than 6?
True
Is 721 at least as big as 742?
False
Which is smaller: 990/41 or 25?
990/41
Which is bigger: -2 or -173/167?
-173/167
Is 1/292 greater than 1?
False
Which is smaller: -107 or 9?
-107
Which is bigger: -2514 or -12567/5?
-12567/5
Which is greater: 1/5 or 19/52?
19/52
Is 6/19 greater than 1?
False
Do 3863 and 3863 have the same value?
True
Which is smaller: 227 or 228?
227
Which is bigger: 743 or 740?
743
Is -5950 at most as big as -5951?
False
Is -3 < -3/4?
True
Is -12/37 at least 17?
False
Is 6/11 not equal to 0?
True
Which is smaller: 53/8 or -0.7?
-0.7
Which is bigger: -2/605 or 1?
1
Which is greater: -532/9 or 4?
4
Which is smaller: 3/40 or 1?
3/40
Is 1 < -4/177?
False
Which is bigger: 15274 or 15275?
15275
Which is bigger: 0.09 or 5.59?
5.59
Which is bigger: 23 or 371/17?
23
Is -457 greater than or equal to -457?
True
Which is smaller: -2 or -72/25?
-72/25
Which is smaller: 6512/5 or 1?
1
Is 2/3 greater than -8/1177?
True
Which is smaller: -3/16447 or 0?
-3/16447
Do 96/757 and 1 have the same value?
False
Is -69 smaller than -73?
False
Is 202 greater than or equal to -7?
True
Is -227 equal to -228?
False
Is -738 < -0.1?
True
Is 7221 at most as big as 7222?
True
Does 0 = -5589?
False
Do -2/1553 and 1 have different values?
True
Is 19/2 less than 10?
True
Is 10860 at least as big as 10859?
True
Is 1 >= 6/8075?
True
Is 343 equal to 344?
False
Which is greater: 0 or -1/20883?
0
Do -1 and -49/145 have the same value?
False
Which is smaller: -911 or 0.1?
-911
Does 96 = -7?
False
Is 3 bigger than 251/83?
False
Which is smaller: 145.8 or 1/5?
1/5
Is -11333 less than -11332?
True
Is 4 at most -23?
False
Is -20 >= -17?
False
Is 1/59 smaller than 1?
True
Which is bigger: -0.1 or -0.0969?
-0.0969
Does 20 = -6?
False
Is 2656 greater than 2655?
True
Is 118 smaller than 118?
False
Is 4/3077 at least 0?
True
Which is smaller: -2278 or -2277?
-2278
Which is bigger: 195 or 3302/17?
195
Which is smaller: -19/17 or 0?
-19/17
Is -3/151 at least as big as 0.01?
False
Is -311/10 less than -31?
True
Is 30 at least as big as -10?
True
Which is bigger: 1155 or 1156?
1156
Which is smaller: 1/40 or 0?
0
Which is smaller: 122 or 140?
122
Is -2851 less than or equal to -2851?
True
Which is bigger: 113 or 111?
113
Is 1 > 2409?
False
Is -8 > -58/7?
True
Is 964 less than 963?
False
Which is greater: -5/2536 or 0?
0
Are 1/3 and 919 nonequal?
True
Which is smaller: 152/5 or -1/2?
-1/2
Is 2/19 greater than or equal to -7/2?
True
Which is smaller: 198 or 197?
197
Is 89 not equal to 18?
True
Which is bigger: 253 or -3/7?
253
Is 2/5 at most as big as -214?
False
Is 1 smaller than 564?
True
Which is smaller: 1/7502 or 1?
1/7502
Which is smaller: 2 or -3/158?
-3/158
Is 438/13 at most as big as 33?
False
Which is smaller: -453/17 or -26?
-453/17
Is 0 smaller than -1/488?
False
Which is greater: 0.3 or 0.0563?
0.3
Are 5 and 9 equal?
False
Do -789 and -781 have the same value?
False
Which is greater: -40193 or -40192?
-40192
Is -120 > -116?
False
Is -604 less than or equal to -604?
True
Is 283 >= 279?
True
Is -0.1 less than -1313?
False
Which is smaller: -11/2158 or 0?
-11/2158
Is -1/428 at least 1?
False
Is 2 bigger than 44/13?
False
Is -2 > -39/32?
False
Which is bigger: 0 or -1/32431?
0
Is -814 greater than -817?
True
Does -1982 = -1980?
False
Which is smaller: 4962 or 4961?
4961
Is 1 <= -1/85925?
False
Which is bigger: -135 or -136?
-135
Is -7957 at most as big as -0.1?
True
Which is greater: -11/102 or 0?
0
Which is smaller: -41 or -16?
-41
Which is smaller: 5 or -3?
-3
Is -4635/4 < -1160?
False
Is 1445 < 1433?
False
Is 1 >= 169?
False
Which is smaller: -0.1 or -353/13?
-353/13
Which is bigger: 301 or 4?
301
Is 850 equal to 9?
False
Do 401 and 401 have different values?
False
Which is smaller: 244 or 245?
244
Is 173/57 less than 4?
True
Is -255 less than 0.2?
True
Is -3/275 != 0?
True
Is 0.2 greater than 136?
False
Do 110 and 5 have different values?
True
Is -637 <= 1?
True
Which is bigger: -39 or -37?
-37
Is 3 < 94/39?
False
Is 9 not equal to 4/5?
True
Which is bigger: 17 or -295?
17
Which is bigger: 2 or 5733?
5733
Which is greater: 2067 or 2069?
2069
Is 2410 less than 2410?
False
Is -92 at least as big as 29?
False
Which is smaller: 7046 or 49316/7?
49316/7
Is 244 at least as big as 240?
True
Which is smaller: -1022 or -1019?
-1022
Which is smaller: -3/68 or 1?
-3/68
Is 89 greater than or equal to 116?
False
Is 1.27 at most as big as -7?
False
Which is smaller: 15 or -2?
-2
Which is greater: -0.125 or 0.06?
0.06
Which is greater: 2 or 31/10?
31/10
Is -1/100 greater than 1?
False
Which is smaller: 5 or 154/37?
154/37
Which is bigger: 1 or 16/27?
1
Which is smaller: -1 or 14?
-1
Is -89 != -268?
True
Is 3634 at least as big as 39972/11?
True
Which is greater: -0.018 or 6?
6
Which is smaller: -218 or -3729/17?
-3729/17
Which is smaller: 1 or 9/2057?
9/2057
Is -7/90 not equal to 0?
True
Which is greater: -2 or -79/29?
-2
Is 0 > 292?
False
Which is smaller: 5/6 or 17.3?
5/6
Do 3 and -128 have the same value?
False
Is 13 at least as big as 61/5?
True
Which is bigger: 10222 or 0?
10222
Do 34 and 40 have different values?
True
Is 26109 <= 26108?
False
Are -1 and 1/2544 non-equal?
True
Which is greater: -1/3 or -44/17?
-1/3
Which is greater: 10 or 98/9?
98/9
Is 3 greater than 3?
False
Is 219/7 >= 32?
False
Is -192/35 at most as big as -5?
True
Is -355 smaller than -3?
True
Is 3 less than -1394?
False
Does 0 = 21/46?
False
Is 17 less than or equal to 55?
True
Is 7 at most 292/47?
False
Which is smaller: 5 or -46?
-46
Which is smaller: -240 or -2156/9?
-240
Which is bigger: -33/13 or -2?
-2
Which is smaller: -0.547 or -1?
-1
Which is smaller: -925 or -1?
-925
Is -13506 at least -13507?
True
Is 0.13 at most as big as 1/229?
False
Which is smaller: 45/2 or -0.1?
-0.1
Which is smaller: -1 or -2/351?
-1
Is 189 at least as big as 185?
True
Which is smaller: 10 or 32/3?
10
Which is smaller: -265 or -1326/5?
-1326/5
Which is greater: 2/15 or -1/11?
2/15
Which is greater: -1.3 or 1173?
1173
Which is smaller: -212 or -638/3?
-638/3
Which is greater: 72 or -7/8?
72
Which is smaller: 10837/5 or 2166?
2166
Is 434 smaller than 435?
True
Which is greater: 1/3 or 39436?
39436
Is -11 bigger than -58?
True
Which is smaller: 12 or -7?
-7
Is -4/649 >= -1?
True
Which is greater: -29 or 0?
0
Is -531/23 < -23?
True
Which is bigger: -1/2 or -6/35?
-6/35
Is -495 less than or equal to 32?
True
Which is bigger: -37 or 1?
1
Is 14310 equal to 14309?
False
Is 159 > 160?
False
Which is greater: -0.45 or -0.39?
-0.39
Which is bigger: -130/601 or 1?
1
Is -1 not equal to -1/7605?
True
Which is greater: 1 or 23/35?
1
Is 3 greater than -1178?
True
Which is bigger: -1 or -2/2487?
-2/2487
Is 30/301 less than or equal to 0?
False
Is 32 less than or equal to 21?
False
Which is bigger: 2.73 or -4?
2.73
Is 4/485 < -1?
False
Is -37/79 > 0?
False
Is 0 <= -2/18037?
False
Is -1/8 at least 107?
False
Which is smaller: -9056/3 or -3018?
-9056/3
Which is smaller: 8184 or 8183?
8183
Which is smaller: 4/863 or -1?
-1
Is 4047 smaller than 4048?
True
Is 32 bigger than -1?
True
Is -146 not equal to -146?
False
Is -1.45 at most 0?
True
Which is greater: 1189 or 1190?
1190
Which is smaller: -51 or -995/19?
-995/19
Which is greater: -52 or 3/28?
3/28
Are 2/11 and 3/35 unequal?
True
Is -832 <= -3323/4?
True
Which is smaller: 1/422 or 1?
1/422
Which is smaller: -2/2567 or -1?
-1
Which is smaller: 9096 or 9095?
9095
Which is smaller: -158 or -631/4?
-158
Is 34/7 < 1?
False
Which is bigger: -113 or -131?
-113
Is -24 at most -19?
True
Is -53 smaller than -51?
True
Does 16628 = 16628?
True
Which is smaller: 1 or -3/812?
-3/812
Do 28 and 6 have the same value?
False
Is -17720 less than -17721?
False
Which is smaller: 2/19001 or 1?
2/19001
Which is bigger: 67/144 or 1?
1
Which is smaller: -672/17 or -40?
-40
Are -522 and -1 nonequal?
True
Is 2/9 at most -16.4?
False
Is -75 bigger than -75?
False
Is -2/203 at least 1?
False
Which is bigger: 855 or 0?
855
Which is bigger: 62 or 3?
62
Which is smaller: -9283/3 or -3093?
-9283/3
Which is greater: -1 or 686?
686
Is -154 greater than | {
"pile_set_name": "DM Mathematics"
} |
726916 and 55749980?
1282249540
What is the lowest common multiple of 83380 and 7079720?
77876920
What is the common denominator of 95/62860608 and 137/17679546?
565745472
What is the least common multiple of 47120166 and 222?
47120166
Calculate the common denominator of -79/8106 and -17/63588.
12272484
Find the common denominator of -75/657682 and -47/64.
21045824
Calculate the common denominator of -46/102209 and 46/49583.
28311893
Calculate the lowest common multiple of 5634 and 6865029.
13730058
Calculate the lowest common multiple of 2112 and 26537808.
106151232
Calculate the lowest common multiple of 288 and 20108547.
643473504
What is the least common multiple of 202644 and 10854?
122194332
What is the common denominator of -35/28327 and -3/1741?
49317307
What is the common denominator of 94/8583135 and -26/25749405?
25749405
What is the common denominator of 23/333528 and -23/31129280?
93387840
Find the common denominator of 23/98678358 and 43/31842.
98678358
Calculate the common denominator of -79/839349 and 58/1323.
5875443
What is the common denominator of 31/15873 and 28/496947?
6460311
Calculate the lowest common multiple of 6532 and 92584.
2129432
Find the common denominator of 94/52843605 and -28/9.
158530815
What is the least common multiple of 2778312 and 98630076?
197260152
Find the common denominator of -9/4766 and -3/7060.
16823980
Calculate the common denominator of -75/89512 and -11/132124.
44129416
Calculate the smallest common multiple of 3138480 and 10800.
15692400
What is the least common multiple of 968796 and 1184084?
10656756
What is the lowest common multiple of 25 and 153260?
766300
What is the lowest common multiple of 2497278 and 9?
7491834
What is the smallest common multiple of 84 and 120180?
841260
Calculate the common denominator of -11/154215 and 203/78135600.
234406800
Calculate the least common multiple of 20 and 196258768.
981293840
Calculate the smallest common multiple of 1411792849 and 11.
15529721339
Find the common denominator of 49/4958370 and -103/54.
14875110
Find the common denominator of 97/52046 and 13/152746.
74998286
What is the least common multiple of 283182 and 1962?
849546
What is the lowest common multiple of 2078148 and 4156296?
4156296
What is the common denominator of 179/3213690 and -47/3535059?
35350590
What is the common denominator of -113/21587140 and -89/10793570?
21587140
Find the common denominator of -69/27745852 and 79/128.
887867264
Calculate the lowest common multiple of 3180 and 103580.
16469220
What is the smallest common multiple of 2140 and 220?
23540
What is the least common multiple of 3203473 and 82?
262684786
Calculate the common denominator of -77/5944936 and -111/16348574.
65394296
What is the common denominator of -17/2132 and -51/121667?
19953388
Calculate the smallest common multiple of 472350 and 12462.
14642850
Calculate the least common multiple of 452844 and 8856.
37133208
Find the common denominator of -71/411 and -22/18704747.
56114241
What is the lowest common multiple of 9691524 and 2?
9691524
What is the lowest common multiple of 5202 and 612?
10404
Calculate the smallest common multiple of 17986212 and 5751.
1277021052
Calculate the least common multiple of 2820 and 745044.
3725220
Find the common denominator of -15/2411332 and 13/42801143.
171204572
Calculate the lowest common multiple of 31617 and 89.
2813913
Find the common denominator of 46/190687 and -40/3732017.
26124119
What is the common denominator of 1/1804 and -10/172293?
28256052
What is the smallest common multiple of 1694422 and 9564?
10166532
What is the lowest common multiple of 102 and 2941170?
2941170
Find the common denominator of 41/2650572 and 32/148461.
108673452
What is the lowest common multiple of 4764 and 3204584?
9613752
Calculate the smallest common multiple of 1169148 and 1461435.
5845740
What is the lowest common multiple of 18300 and 10909240?
163638600
Calculate the smallest common multiple of 466 and 309012.
71999796
What is the common denominator of 1/1601070 and 37/234?
62441730
What is the common denominator of 31/785624 and -71/5162672?
36138704
Find the common denominator of -109/196997248 and -65/196997248.
196997248
Calculate the smallest common multiple of 5569242 and 530404.
11138484
Calculate the common denominator of 87/18307432 and -103/4708.
1958895224
Find the common denominator of -77/127680444 and 35/6303.
1404484884
Calculate the common denominator of 45/25648088 and 187/8185560.
384721320
Calculate the lowest common multiple of 1689170 and 191821.
113174390
What is the lowest common multiple of 5395 and 748826?
3744130
Calculate the least common multiple of 60 and 4392884.
65893260
Find the common denominator of -167/1980 and -151/4530240.
4530240
Calculate the smallest common multiple of 4176 and 1606896.
46599984
What is the smallest common multiple of 32161 and 31610?
35055490
Calculate the common denominator of -53/16356845 and -1/2135.
114497915
Find the common denominator of -10/6843 and -71/168.
383208
Calculate the smallest common multiple of 6502384 and 966.
448664496
What is the common denominator of 85/144678 and 92/361695?
723390
Calculate the smallest common multiple of 3549 and 290724.
49132356
What is the common denominator of -83/1579470 and 95/272?
12635760
What is the least common multiple of 609945 and 1045620?
7319340
What is the least common multiple of 2222 and 11463298?
11463298
Calculate the common denominator of -149/48324780 and -131/2531298.
531572580
What is the common denominator of 149/887754 and -68/3669?
1085723142
What is the least common multiple of 595959 and 7826?
51252474
What is the common denominator of -125/23404884 and 19/2053060?
117024420
Calculate the least common multiple of 2686460 and 4960.
21491680
What is the common denominator of -131/8193396 and 121/84?
57353772
Find the common denominator of 63/4 and 75/55113286.
110226572
Calculate the lowest common multiple of 219 and 792051.
57819723
What is the lowest common multiple of 32 and 7436300?
59490400
What is the common denominator of -169/2040 and 20/654807?
445268760
Calculate the lowest common multiple of 72762 and 287028.
51952068
Calculate the least common multiple of 15 and 12574749.
62873745
Calculate the common denominator of 61/1436 and 89/4226866.
8453732
Calculate the least common multiple of 8303310 and 25.
41516550
What is the smallest common multiple of 96 and 3314240?
9942720
What is the lowest common multiple of 38778960 and 10341056?
155115840
What is the least common multiple of 19226754 and 888?
76907016
What is the least common multiple of 1680 and 577920?
577920
Calculate the lowest common multiple of 5483262 and 1229007.
71282406
What is the common denominator of -46/294729 and 10/23001?
132922779
What is the lowest common multiple of 10 and 43359334?
216796670
What is the least common multiple of 4356774 and 4356774?
4356774
Find the common denominator of 3/648835 and 32/13805.
648835
Calculate the least common multiple of 4853504 and 2730096.
43681536
Find the common denominator of -13/30 and -19/2121624.
10608120
Calculate the least common multiple of 114 and 6756590.
20269770
What is the least common multiple of 97312672 and 24328168?
97312672
Calculate the lowest common multiple of 105111470 and 25065.
946003230
What is the least common multiple of 324156 and 114862?
82011468
Find the common denominator of 13/5256760 and -49/36.
47310840
What is the least common multiple of 135236775 and 228?
540947100
Calculate the least common multiple of 106424 and 12398396.
24796792
What is the least common multiple of 4530390 and 465?
140442090
What is the least common multiple of 230 and 9353686?
46768430
Calculate the common denominator of 79/66594058 and -101/6.
199782174
What is the least common multiple of 28381680 and 5203308?
312198480
What is the smallest common multiple of 38659608 and 1321696?
154638432
Calculate the lowest common multiple of 187 and 5826469.
99049973
Calculate the lowest common multiple of 211169700 and 180.
211169700
What is the least common multiple of 539070 and 1275?
2695350
What is the common denominator of 59/455328 and -89/163928?
300971808
Calculate the smallest common multiple of 3797143 and 64 | {
"pile_set_name": "DM Mathematics"
} |
or c.
91
Solve -636*q + 186*q + 2890 = 15940 for q.
-29
Solve 1730931*g - 1730905*g + 1898 = 0 for g.
-73
Solve 24549*l = 24481*l - 4488 for l.
-66
Solve 35*a + 19*a + 3*a + 310 = -5*a for a.
-5
Solve -1725*t = -7063 - 445 - 1117 for t.
5
Solve -4943 = 403*z + 5838 + 12015 - 3855 for z.
-47
Solve 668*a - 1174*a - 1075*a = 2393*a - 47688 for a.
12
Solve 31*n = -20408 + 19323 for n.
-35
Solve -60*b = -222*b + 105*b - 3762 for b.
-66
Solve 1275*r - 128234 = -1000*r - 25859 for r.
45
Solve 8*v - 1485 = 17*v - 64*v for v.
27
Solve 226*x + 341*x - 247*x - 11976 = -678*x for x.
12
Solve -849*r - 2996*r - 4465*r + 1011310 = 484*r for r.
115
Solve -593*k + 58468 = 344*k - 315*k for k.
94
Solve -71*p + 73*p = 134*p + 2906 - 9506 for p.
50
Solve 0 = 1032*t - 21473 - 23935 for t.
44
Solve 1264*s + 1769*s + 312*s = -794*s + 326981 for s.
79
Solve -1445*q = -115256 - 30689 for q.
101
Solve -4997*q + 322258 + 474206 = 186830 for q.
122
Solve 619414*w + 15990 = 619619*w for w.
78
Solve 195723 = -374*c + 171039 for c.
-66
Solve 807*p = 290*p + 41877 for p.
81
Solve 91*r - 480 = -76*r - 96*r + 103*r for r.
3
Solve 449 + 15385 = 280*a + 126*a for a.
39
Solve 0 = 19*r + 1882 - 1540 for r.
-18
Solve -927*s + 3832 + 32321 = 0 for s.
39
Solve 11*n + 70*n - 1188 = 81*n - 66*n for n.
18
Solve 29766 - 32928 = -969*s - 1603*s - 116330 for s.
-44
Solve 1678*z - 27885 = 27969 + 36436 for z.
55
Solve 317 = 44*w + 37*w + 4*w - 193 for w.
6
Solve -4028 + 116733 = 2247*o - 139279 - 10915 for o.
117
Solve -1471526 + 1475426 = -156*q for q.
-25
Solve -311*v - 46*v = 28*v + 2695 for v.
-7
Solve -352*k - 2478 - 7633 = 46*k + 2227 for k.
-31
Solve 28*w - 906266 = -99*w - 900424 for w.
46
Solve 8794141 - 8795093 = 56*h for h.
-17
Solve 55991*r - 311 = 55104*r - 81915 for r.
-92
Solve -2390*u - 767*u + 37629 = 413312 for u.
-119
Solve -5168*u + 42607 + 217820 = 373*u for u.
47
Solve 8004 = 613979*q - 614048*q for q.
-116
Solve 6*r + 16*r = 5842 - 5270 for r.
26
Solve -22*c - 314*c - 139*c + 11400 = 0 for c.
24
Solve -15759*n + 15291*n = -3276 for n.
7
Solve -460 = 28400*l + 28399*l - 56809*l for l.
46
Solve -65793*k + 1276 = -32912*k - 32925*k for k.
-29
Solve -66374 = -847*s - 1186*s + 320*s - 227396 for s.
-94
Solve -241*c - 9999 + 600 = 0 for c.
-39
Solve -11611*r + 4875 + 3207 = -15140 for r.
2
Solve -34*w = -59*w - 323*w + 7796 + 8212 for w.
46
Solve 85 = -2823*p + 2844*p - 146 for p.
11
Solve 1 - 24 - 23 = -11*v + 9 for v.
5
Solve -231*j - 5833 + 1729 = -79*j for j.
-27
Solve -99*n = -424*n - 5326 + 14101 for n.
27
Solve 473431*n - 473576*n + 2755 = 0 for n.
19
Solve 107*p + 13558 - 19015 = 0 for p.
51
Solve -480*l + 5293 + 8375 = -389*l + 2930 for l.
118
Solve 2253 = 416*n + 3799 + 6774 for n.
-20
Solve -158*i + 683*i - 32956 = -224*i for i.
44
Solve 30306*f = 31535*f - 111839 for f.
91
Solve 441*q + 876*q - 348*q + 11712 = -495*q for q.
-8
Solve -7120*q + 7128 = 7128*q - 14116*q for q.
54
Solve -29467*p - 86975 = -26982*p for p.
-35
Solve 1901*z + 2453*z - 173*z = 9406 - 147379 for z.
-33
Solve -316531229 = 33*q - 316528523 for q.
-82
Solve -1166*h = 2124*h + 2226*h + 650888 for h.
-118
Solve 526*a = 360 + 166 for a.
1
Solve -7657839 = -16*s - 7659039 for s.
-75
Solve 0 = 77*z + 29248 - 30249 for z.
13
Solve -256*v - 822 = -85*v - 10911 for v.
59
Solve 139*x + 16*x + 55*x - 11044 = -41*x for x.
44
Solve 247115*v + 4752 = 247049*v for v.
-72
Solve -197*k = -124*k - 132*k + 3953 for k.
67
Solve 46*u = -188*u - 23309 + 4355 for u.
-81
Solve 70*m - 6958754 = -6961974 for m.
-46
Solve -1220*b = -625*b - 643*b + 148 + 716 for b.
18
Solve -683*g + 4739 = 394 - 3168 for g.
11
Solve 237183*j - 235373*j - 14480 = 0 for j.
8
Solve 0 = 5862*y + 607760 - 185696 for y.
-72
Solve 0 = 103*y - 274*y + 7*y + 74*y - 11700 for y.
-130
Solve 299*u + 46608 = 30462 for u.
-54
Solve -209 - 143 = 11*s - 67*s - 408 for s.
-1
Solve 0 = 3673*f - 29268 - 102960 for f.
36
Solve -80500 = 6796*v - 5186*v for v.
-50
Solve -1033857 = -104*f - 152*f - 1021825 for f.
47
Solve 2291*w + 44446 = -19611 - 2382 for w.
-29
Solve 192131 - 127638 = -1573*h for h.
-41
Solve -159*t - 5539 = 394 - 277 - 250 for t.
-34
Solve -5351*h = -1109*h + 14481*h + 4388*h - 2542210 for h.
110
Solve -358*v - 525*v - 12504 = 84*v - 37646 for v.
26
Solve -279*r + 788*r + 13234 = 0 for r.
-26
Solve 116*z - 2626 - 5032 + 2476 = 3402 for z.
74
Solve -48539*f + 48192*f = -4511 for f.
13
Solve 799*g = -4121*g - 85923 - 327357 for g.
-84
Solve -4619*c - 19041 = -15340 + 19772 + 27336 for c.
-11
Solve 194283 = -13406*z - 301739 for z.
-37
Solve -47*y + 14903 - 12553 = 0 for y.
50
Solve 1760*o + 1496*o + 1195*o - 900*o = 467*o for o.
0
Solve -538*s - 2107*s = 123804 - 31229 for s.
-35
Solve 178 - 2600 = -572*r + 6158 for r.
15
Solve -32*t - 94*t + 1009 + 2015 = 0 for t.
24
Solve 29*z - 1483 = -9*z - 263 + 452 for z.
44
Solve -1023*w + 1457*w - 9548 = 0 for w.
22
Solve 9981*s - 3208*s = 196509 + 6681 for s.
30
Solve 253*w + 11349 = 4012 for w.
-29
Solve -237*l = 225*l - 24*l + 3066 for l.
-7
Solve -144*b + 418*b = 164*b - 440 for b.
-4
Solve -1923 = 44*y - 1307 for y.
-14
Solve -149*m - 26*m = -18*m + 95*m - 15876 for m.
63
Solve 104*v + 1395 = 82*v - 23*v for v.
-31
Solve 1802*r - 3673 = 30124 + 25669 for r.
33
Solve 396*f = 23*f - 10817 for f.
-29
Solve 0 = 878*b + 2741 + 8673 for b.
-13
Solve -1065*x + 50754 - 30666 = 4568*x - 103838 for x.
22
Solve 0 = 3757*c - 541659 + 203529 for c.
90
Solve -202*j + 152*j - 9595 = 267*j + 10059 for j.
-62
Solve 507*a - 8371 - 12646 + 2584 - 1340 = 0 for a.
39
Solve 622*z - 741*z + 0 = -2796*z - 0 for z.
0
Solve 179428*v - 179432*v = -280 for v.
70
Solve -265*k - 771 = 795*k - 12431 for k.
11
Solve 1428*k - 931*k = 8449 for k.
17
Solve 0 = n + 2550 - 2508 for n.
-42
Solve -141*f - 1134*f + 115525 = -47*f + 40617 for f.
61
Solve 515*t - 676*t - 1116*t + 96968 = 287*t for t.
62
Solve -2*y - 1495 - 2572 = -69*y - 1387 for y.
40
Solve -1588*s + 1777 = -4167 - 408 for s.
4
Solve 1004 + 5155 + 1842 = -381*o for o.
-21
Solve 108845 + 24948 + 2287 = 244*q + 1268*q for q.
90
Solve -22281*x = -22252*x + 464 for x.
-16
Solve -8578*p + 857*p - 92652 = 0 for p.
-12
Solve 20922*f - 20943*f = -693 for f.
33
Solve 8043*n + 608249 - 214142 = 0 for n.
-49
Solve -342 - 712 = -12*i + 65*i + 483 for i.
-29
Solve 0 = -292*w - 429*w + 30282 for w.
42
Solve 94*z + 65467 = 64339 for z.
-12
Solve 4*y + 553 = -9*y - 5*y - 365 for y.
-51
Solve -370*j - 264*j = 13314 for j.
-21
Solve -799 = 8*b - 1407 for b.
76
Solve -67149*o + 67183*o + 3570 = 0 for o.
-105
Solve -327*z - 43*z = -27945 + 14625 for z.
36
Solve 4711917*d = 4714293*d + 99792 for d.
-42
Solve -286*j - 232525 = -213649 for j.
-66
Solve 0 = -1777*v + 227*v + 229*v + 43593 for v.
33
Solve 0 = 46*u - 747 + 195 for u.
12
Solve 7464*y - 6015*y = -11387*y - 205376 for y.
-16
Solve -168*y - 4958 = -95*y + 56*y + 4717 for y.
-75
Solve 762*q + 2147 + 645 = 506 for q.
-3
Solve 0 = -218*n - 18121 + 18339 for n.
1
Solve 76250 = 837*g + 3431 for g.
87
Solve -160*v - 12600 = 120*v for v.
-45
Solve 15*u + 8*u + 1564 = -0*u for u.
-68
Solve 426*f + 614*f - 62238 = -50*f + 147*f for f.
66
Solve 10657*w - 146962 = 662970 for w.
76
Solve 88*s + 11970 = 18834 for s.
78
Solve 594*w - 212*w - 18750 = -626*w - 242*w for w.
15
Solve -731*h + 2431 = -54519 - 5185 for h.
85
Solve -501*u - 236*u = 19899 for u.
-27
Solve 7350 = -235*p - 29*p + 19*p for p.
-30
Solve 273*x = 2887 - 831 + 1493 for x.
13
Solve 73*f - 86*f - 3701 = 93*f + 1917 for f.
-53
Solve 607*c = 693*c for c.
0
Solve -9641 + 2100 = 937*l + 5490 + 6646 for l.
-21
Solve -17*d = 62*d + 6636 for d.
-84
Solve -662*w + 2851 + 12375 = 0 for w.
23
Solve 297 - 393 = -8*x - 304 - 144 for x.
-44
Solve 481*q + 1805*q - 31141 = 647*q for q.
19
Solve 135*x + 405*x - 29090 = 610 for x.
55
Solve -976*q + 103*q - 1609*q + 52122 = 0 for q.
21
Solve -5075 = -2618851*l + 2619026*l for l.
-29
Solve -2556*j + 5111*j = 2607*j - 3640 for j.
70
Solve -158*u - 4423 = 7386 - 3277 for u.
-54
Solve -3462344*t = -3462184*t + 8480 for t.
-53
Solve 111702*p - 111429*p = -13377 for p.
-49
Solve 235*m - 25*m - 13*m - 10 = -404 for m.
-2
Solve 45*m - 373 + 104 - 514 = 162 for m.
21
Solve -29763*x - 8481*x + 1641276 = 834*x for x.
42
Solve -1516*l = 100024 + 5309 | {
"pile_set_name": "DM Mathematics"
} |
etween 1:54 PM and 11:22 PM?
568
How many minutes are there between 5:45 PM and 4:01 AM?
616
How many minutes are there between 2:24 PM and 11:36 PM?
552
What is 496 minutes after 10:01 PM?
6:17 AM
How many minutes are there between 10:59 PM and 7:00 AM?
481
How many minutes are there between 7:20 PM and 6:27 AM?
667
What is 641 minutes before 11:00 PM?
12:19 PM
How many minutes are there between 11:59 PM and 11:26 AM?
687
What is 236 minutes after 2:13 AM?
6:09 AM
How many minutes are there between 12:44 AM and 12:27 PM?
703
What is 682 minutes before 1:53 PM?
2:31 AM
What is 4 minutes before 8:37 PM?
8:33 PM
What is 644 minutes after 11:53 AM?
10:37 PM
What is 171 minutes after 12:04 AM?
2:55 AM
What is 586 minutes before 11:20 PM?
1:34 PM
What is 676 minutes before 12:05 AM?
12:49 PM
What is 705 minutes before 5:38 AM?
5:53 PM
How many minutes are there between 2:38 PM and 11:47 PM?
549
What is 240 minutes after 8:23 PM?
12:23 AM
What is 502 minutes before 8:44 AM?
12:22 AM
How many minutes are there between 1:52 PM and 1:04 AM?
672
How many minutes are there between 1:37 PM and 8:08 PM?
391
How many minutes are there between 11:05 AM and 9:02 PM?
597
How many minutes are there between 3:50 PM and 6:41 PM?
171
What is 586 minutes after 3:04 PM?
12:50 AM
How many minutes are there between 7:35 AM and 7:03 PM?
688
What is 595 minutes before 6:23 PM?
8:28 AM
What is 595 minutes before 1:00 PM?
3:05 AM
How many minutes are there between 10:29 AM and 10:38 AM?
9
How many minutes are there between 4:36 AM and 12:04 PM?
448
How many minutes are there between 7:13 PM and 12:16 AM?
303
How many minutes are there between 2:45 AM and 5:56 AM?
191
How many minutes are there between 7:06 AM and 5:16 PM?
610
What is 255 minutes before 1:05 PM?
8:50 AM
How many minutes are there between 3:42 PM and 6:33 PM?
171
What is 458 minutes after 1:37 PM?
9:15 PM
How many minutes are there between 8:54 AM and 7:05 PM?
611
How many minutes are there between 11:30 AM and 4:23 PM?
293
What is 159 minutes after 7:09 AM?
9:48 AM
What is 457 minutes after 9:16 PM?
4:53 AM
How many minutes are there between 8:22 PM and 6:17 AM?
595
How many minutes are there between 8:38 AM and 12:05 PM?
207
What is 586 minutes before 11:59 PM?
2:13 PM
What is 332 minutes before 8:26 AM?
2:54 AM
What is 126 minutes after 9:22 AM?
11:28 AM
How many minutes are there between 2:23 AM and 10:01 AM?
458
What is 35 minutes before 9:50 PM?
9:15 PM
What is 680 minutes after 10:44 AM?
10:04 PM
What is 353 minutes before 7:43 PM?
1:50 PM
How many minutes are there between 8:50 PM and 4:18 AM?
448
What is 160 minutes after 9:47 AM?
12:27 PM
How many minutes are there between 7:59 AM and 6:09 PM?
610
What is 303 minutes before 1:37 PM?
8:34 AM
What is 367 minutes after 3:48 AM?
9:55 AM
How many minutes are there between 3:10 PM and 4:41 PM?
91
What is 474 minutes after 12:39 PM?
8:33 PM
What is 628 minutes after 4:06 PM?
2:34 AM
What is 39 minutes after 11:16 PM?
11:55 PM
How many minutes are there between 9:56 AM and 5:32 PM?
456
What is 647 minutes after 11:46 AM?
10:33 PM
How many minutes are there between 4:46 AM and 8:46 AM?
240
What is 576 minutes before 11:39 AM?
2:03 AM
How many minutes are there between 9:26 AM and 2:21 PM?
295
How many minutes are there between 6:38 PM and 9:07 PM?
149
What is 355 minutes before 9:54 PM?
3:59 PM
How many minutes are there between 4:23 PM and 10:17 PM?
354
What is 709 minutes after 2:24 PM?
2:13 AM
What is 115 minutes before 1:58 PM?
12:03 PM
What is 428 minutes after 10:48 PM?
5:56 AM
What is 98 minutes after 2:01 PM?
3:39 PM
How many minutes are there between 1:51 AM and 7:23 AM?
332
What is 470 minutes after 1:36 PM?
9:26 PM
How many minutes are there between 7:52 AM and 3:52 PM?
480
How many minutes are there between 8:29 AM and 9:32 AM?
63
What is 538 minutes after 3:46 AM?
12:44 PM
What is 327 minutes before 3:48 PM?
10:21 AM
What is 662 minutes after 7:17 PM?
6:19 AM
What is 661 minutes before 6:12 AM?
7:11 PM
How many minutes are there between 5:56 AM and 11:37 AM?
341
What is 376 minutes before 7:27 AM?
1:11 AM
What is 155 minutes after 1:23 AM?
3:58 AM
How many minutes are there between 2:50 PM and 5:15 PM?
145
How many minutes are there between 7:05 AM and 12:03 PM?
298
What is 424 minutes before 7:20 PM?
12:16 PM
What is 60 minutes after 11:55 AM?
12:55 PM
How many minutes are there between 12:33 PM and 8:27 PM?
474
How many minutes are there between 5:55 AM and 2:05 PM?
490
What is 599 minutes after 6:38 AM?
4:37 PM
What is 387 minutes before 8:38 AM?
2:11 AM
What is 663 minutes after 1:55 PM?
12:58 AM
How many minutes are there between 9:37 PM and 1:41 AM?
244
What is 289 minutes before 8:59 AM?
4:10 AM
How many minutes are there between 5:18 PM and 9:29 PM?
251
What is 237 minutes before 1:17 PM?
9:20 AM
How many minutes are there between 7:41 AM and 1:03 PM?
322
How many minutes are there between 3:40 AM and 10:05 AM?
385
How many minutes are there between 4:21 AM and 9:19 AM?
298
How many minutes are there between 8:24 PM and 8:07 AM?
703
What is 101 minutes before 9:24 AM?
7:43 AM
What is 270 minutes after 8:11 PM?
12:41 AM
How many minutes are there between 1:07 PM and 5:17 PM?
250
What is 677 minutes before 10:36 AM?
11:19 PM
How many minutes are there between 1:54 PM and 11:46 PM?
592
How many minutes are there between 6:37 AM and 2:19 PM?
462
How many minutes are there between 4:48 AM and 9:12 AM?
264
What is 576 minutes before 10:51 AM?
1:15 AM
What is 611 minutes before 11:53 AM?
1:42 AM
How many minutes are there between 12:28 AM and 5:24 AM?
296
How many minutes are there between 2:43 AM and 9:47 AM?
424
What is 552 minutes before 2:17 PM?
5:05 AM
How many minutes are there between 12:22 AM and 11:42 AM?
680
How many minutes are there between 2:36 PM and 1:31 AM?
655
What is 77 minutes before 9:20 PM?
8:03 PM
What is 410 minutes after 6:22 AM?
1:12 PM
How many minutes are there between 12:14 AM and 1:03 AM?
49
How many minutes are there between 5:25 PM and 12:48 AM?
443
What is 102 minutes before 5:33 PM?
3:51 PM
What is 154 minutes before 8:37 PM?
6:03 PM
How many minutes are there between 3:46 PM and 9:08 PM?
322
How many minutes are there between 3:21 AM and 8:39 AM?
318
What is 624 minutes after 7:03 PM?
5:27 AM
How many minutes are there between 10:57 AM and 6:35 PM?
458
What is 204 minutes before 5:30 PM?
2:06 PM
What is 103 minutes after 6:38 AM?
8:21 AM
How many minutes are there between 10:04 AM and 3:02 PM?
298
What is 388 minutes after 4:36 PM?
11:04 PM
How many minutes are there between 2:57 AM and 4:04 AM?
67
What is 702 minutes after 9:29 PM?
9:11 AM
How many minutes are there between 7:30 PM and 8:24 PM?
54
What is 655 minutes before 11:07 PM?
12:12 PM
How many minutes are there between 1:35 PM and 5:26 PM?
231
How many minutes are there between 1:13 PM and 7:52 PM?
399
How many minutes are there between 6:36 AM and 9:21 AM?
165
What is 341 minutes before 1:59 AM?
8:18 PM
What is 59 minutes after 4:49 PM?
5:48 PM
How many minutes are there between 6:44 AM and 2:55 PM?
491
What is 53 minutes before 2:49 AM?
1:56 AM
How many minutes are there between 10:10 PM and 5:47 AM?
457
What is 328 minutes after 12:31 AM?
5:59 AM
What is 266 minutes after 10:39 PM?
3:05 AM
What is 404 minutes before 10:43 AM?
3:59 AM
What is 251 minutes before 6:07 AM?
1:56 AM
What is 610 minutes after 2:32 PM?
12:42 AM
What is 418 minutes before 5:11 PM?
10:13 AM
What is 624 minutes before 2:40 AM?
4:16 PM
How many minutes are there between 11:16 PM and 9:08 AM?
592
How many minutes are there between 11:51 AM and 8:12 PM?
501
How many minutes are there between 11:06 PM and 1:40 AM?
154
What is 685 minutes before 12:27 PM?
1:02 AM
What is 491 minutes before 10:13 AM?
2:02 AM
What is 139 minutes before 10:27 PM?
8:08 PM
How many minutes are there between 12:19 PM and 11:39 PM?
680
How many minutes are there between 2:32 AM and 8:44 AM?
372
What is 249 minutes after 2:36 PM?
6:45 PM
How many minutes are there between 3:57 AM and 12:07 PM?
490
How many minutes are there between 2:23 PM and 3:03 PM?
40
How many minutes are there between 3:22 PM and 6:08 PM?
166
How many minutes are there between 6:58 PM and 9:54 PM?
176
What is 63 minutes before | {
"pile_set_name": "DM Mathematics"
} |
-l for l.
2
Solve -7 - 18 = 5*x - 5*b, -5*x = -b + 25 for x.
-5
Solve 2*f + 4*p - 20 = -34, 26 = -3*f - p for f.
-9
Solve 2*w - 6*m = -18, -38*w + 29 = -34*w + m for w.
6
Solve -15*f - 3*g = -45, -3*f - 122*g + 127*g = -37 for f.
4
Solve 0 = 3*t - 3*a + 2 + 7, 10*a = -52 + 22 for t.
-6
Solve 65*j = -4*o + 63*j - 22, -5*o = 4*j + 32 for o.
-4
Solve w + 21*k = -45, -6*w + w - 9 = -3*k for w.
-3
Solve -20*q - 99 = -m, 14 - 25 = 3*q - 4*m for q.
-5
Solve -3*n = -6*s + 30, 30*n - 26*n + 40 = -5*s for n.
-10
Solve -3*l + 64 = -5*r + 51, 10*r + 16 = -4*l for r.
-2
Solve -2*b = -7*b - 5*o + 30, -5*b + 27 = 4*o for b.
3
Solve -10 = 5*z, 155 = 5*x + 3*z + 116 for x.
9
Solve -3*c - 1048*w = -1047*w - 31, -c + w + 13 = 0 for c.
11
Solve -2*h - 2*a + 2 = 0, 2*a + 4 = -4*h + 16 for h.
5
Solve -10*c = -203*l + 206*l + 176, -5*c = 85 for l.
-2
Solve f - 654 = c - 655, 5 = 5*c - 3*f for c.
1
Solve 0 = 55*m - 56*m - 2*o + 1, -4*m + 3*o = -6*m + 2 for m.
1
Solve -46 = 4*o - 4*c - 42, -2*c - 4 = -4*o for o.
3
Solve -3*o = 5*h + 7, -108*o - 4 = -4*h - 112*o for h.
-5
Solve 2*h = 3*o + 52, -h + 17 = -16726*o + 16725*o for h.
-1
Solve -4461*o + 4465*o - 32 = -4*j, 4*o - 4*j - 24 = 0 for o.
7
Solve 0*b + 64 = -5*l + 8*b, 18*l - 16*l + 32 = 4*b for l.
0
Solve 4*a + i - 8 = 0, -775*i + 16 = 4*a - 772*i for a.
1
Solve 6*v - 3*v = 5*y - 6, 0 = -v - 5*y + 18 for v.
3
Solve -12467*c + 12465*c + 3*q + 6 = 0, -6*c - 4 = 2*q for c.
0
Solve -8*m - 4*b = 84, b = 3*m - 3 + 7 for m.
-5
Solve -6*p + 2*p - 20 = 2*x, 3*x - 14 = 5*p for p.
-4
Solve -4*y - 4*f + 20 = 0, 8*f - 9*f = -1 for y.
4
Solve 5*j - 529*w - 8 = -526*w, 2*w - 8 = -10*j for j.
1
Solve 4*q + 4*f = 24, -618*q = -623*q - 2*f + 12 for q.
0
Solve 0 = 445*u - 440*u + 2*v - 8, 3*v - 12 = -u for u.
0
Solve 0 = -410*q + 406*q - u - 10, -3*u - 12 = 3*q for q.
-2
Solve -4*j - 3*v + 336 = 329, 2*j - 3*v - 17 = 0 for j.
4
Solve -10160*q = -2*n - 10159*q + 7, 3*q + 22 = 5*n for n.
-1
Solve 5*l = 5*z + 201834 - 201779, -15 = -3*z - 3*l for z.
-3
Solve 0 = -7*v + 3*r + 27, 2*v - 3*r - 142 + 115 = 0 for v.
0
Solve 53*k = 6*l + 57*k - 8, 4*l + 13 = k for l.
-2
Solve -4*x = -4, -8*x + 4*x + 1 = -3*r for r.
1
Solve -7*u + 2*k = -41 - 1, 2*u = -4*k + 12 for u.
6
Solve 7*r + 10 = 5*r, -4*r = -2*c + 18 for c.
-1
Solve -2*m + 85 - 95 = 5*u, -3*m + 2*u = 15 for m.
-5
Solve 74*b = 25*v + 79*b + 130, 46 = -4*v - 5*b for v.
-4
Solve -4*g - t - 798 = -804, 5*g = 2*t + 14 for g.
2
Solve -23*j = -20*j - 20*h - 171, 0 = -3*j + 3*h + 18 for j.
-3
Solve -5*p - 57 - 3 = -2*c, c = -5*p - 75 for c.
-5
Solve 2*s + 18 = -3*b, -2*s - 12*s - 50 = 2*b for s.
-3
Solve 22 - 16 = -2*x + 2*m, 3*x - 4*m = -9 for x.
-3
Solve 3*j = -23*l + 178, 4*j - 2*l = -32 + 8 for j.
-2
Solve g = s + 18*g + 23, 3*g + 27 = -4*s for s.
-6
Solve -3*h + 33 = 3*a, 7 = -3*a - 1011*h + 1016*h for a.
6
Solve 5*n = 19*s - 213, -10*n = 5*s - 13*n - 51 for s.
12
Solve q + 2*t + 8 = 0, -5*q - 178*t + 174*t - 16 = 0 for q.
0
Solve -5*n + c - 1 - 5 = -26, 0 = -5*n - 29*c + 170 for n.
5
Solve -5*j + 2*o = 4 - 11, -2*j - 27 = j - 9*o for j.
3
Solve 0 = -5*p + 2*t - 16, 0 = -2*p - 12*t + 32 for p.
-2
Solve 4*f + 401*i - 403*i = 12, -5*f - 20 = i for f.
-2
Solve 2235*h = -3*f + 2237*h + 13, 0 = f - 38*h - 79 for f.
3
Solve -21*n - 2*v = -26*n + 8*n + 7, -4*n - 16*v = -4 for n.
-3
Solve 4*y + 23 = 3*v, 0 = -24*y + 25*y + 5*v for y.
-5
Solve 0 = 5*b - a + 21, -5*a = -541*b + 539*b + 10 for b.
-5
Solve -2463*w = -2466*w + a - 25, -w + a - 7 = 0 for w.
-9
Solve 3*h = -6, 1209*w - 1210*w - 5*h - 15 = 0 for w.
-5
Solve 0 = 5*s - 20*t + 185 + 15, 2*s = -3*t - 36 for s.
-24
Solve 333*a = 331*a - 4*c + 6, -3*a - c + 4 = 0 for a.
1
Solve 121 = -4*g - 21*z, 0 = -3*g - 4*z + 24 - 56 for g.
-4
Solve k - 195394*o + 195399*o - 23 = 0, k - 3*o = -17 for k.
-2
Solve 5*n = -3*f + 10, -38*n + 17*n + 110 = -f for n.
5
Solve -5*b - 101 = 2*k, 0 = -2*k + 2*b + 4390 - 4358 for k.
-3
Solve -13*i + 11*i + x = 8, 7*i = x - 18 for i.
-2
Solve 0 = -4*a - 5*j + 8, 5*a + 851*j - 846*j - 5 = 0 for a.
-3
Solve -8 = 4*m + 4*b, -27829*m - 26 = -27826*m - b for m.
-7
Solve -348*y = 2*l - 351*y - 16, 8 = l - 0*y + 4*y for l.
8
Solve -d - 7 = 2*o, -8 = -2*o + d - 9 for o.
-2
Solve 798*y - 793*y + 2*c - 29 = 0, 1 = y + 2*c for y.
7
Solve 22 = -2*l + 4*a, -8*a = -9*a + 5 for l.
-1
Solve -3*z + 14 = -g, -2743*z + 3*g = -2739*z - 17 for z.
5
Solve 4*w + 38 = -w + 3*y, 13 = -2*w - y for w.
-7
Solve 125*n + 33 = 5*o + 126*n, 0 = -13*o - 5*n + 93 for o.
6
Solve -2*x + 2*z = -26, -103*z - 9 = 3*x - 102*z for x.
1
Solve -5*y + 798*b + 85 = 793*b, -5*y = 5*b + 65 for y.
2
Solve -125*m - 4*s = -122*m + 27, -3*m - 5*s - 30 = 0 for m.
-5
Solve -3 = b, -3*b + 2 - 5 = -4*v + 34 for v.
7
Solve -2*d = 5*y + 11, -8*d + 5 = -2*y - 9*d for y.
-1
Solve 0 = -m + 4*p, m - 395*p = -393*p for m.
0
Solve 4*v + 56*u - 88*u = -30*u + 12, -2*v = -2*u - 10 for v.
1
Solve -5 = 3*m - 4127*q + 4128*q, -3 = 5*m + 3*q for m.
-3
Solve 0 = 5*z - 2*f + 3, -5*z + 27*f - 28*f + 9 = 0 for z.
1
Solve -i - 205 = -4*x - 186, -x - 8 = 4*i for i.
-3
Solve 3*f + 145 = 819*x - 853*x, 0 = -5*x + f - 17 for x.
-4
Solve -4*a = 2*f - 10, 3*a + 30*f = 35*f - 25 for a.
0
Solve -28*a = 4*m - 23*a - 28, 0 = -2*m - a + 8 for m.
2
Solve 0 = 5*z + 3*n + 3, 1203*z + 5*n + 5 = 1205*z for z.
0
Solve 4*r - 5*x - 62 = -132, -4*x + 45 = -r for r.
-5
Solve 0 = -4*x - 1663*f + 1661*f, 3*x - 14*f + 31 = 0 for x.
-1
Solve b - 5*x = 2, 272*b - 6 = 269*b - 3*x for b.
2
Solve 3*g - 5 = 12*p + 28, -g - 12 = p - 3 for g.
-5
Solve -6*c + 60 = 2*r, 3*c - 246*r = -251*r + 150 for c.
0
Solve -16*l - 3169 = -5*a - 3070, 5*l - a + 27 = 0 for l.
-4
Solve 100 = -3*c - 5*u + 83, -2 = 2*u for c.
-4
Solve 3*u + 215 - 188 = 2*w, 3*u + 30 = 3*w for w.
3
Solve 4*l + 7*t + 6 = 11, 3 = 3*l + 5*t for l.
-4
Solve 18 = 3*b - 3*u, -3149*b + 3144*b - 33 = 2*u for b.
-3
Solve 5*o + 9254*z - 23 = 9250*z, 10*o - 26 = 2*z for o.
3
Solve -n + 20 = -2*n + n + 4*n + w, 0 = -w for n.
5
Solve 5*x + 25 = 46*l - 63*l, l + 15 = -3*x for x.
-5
Solve -z + g + 889 = 894, 3*z - 2*g = -13 for z.
-3
Solve 2*w = 2*f + 11 - 9, -3*w - 3*f - 15 = 0 for w.
-2
Solve 3*l + 9 = -3*x, 3*x - 14*l - 13*l + 9*l = 12 for x.
-2
Solve -4*f + 548*i = 550*i - 12, 102*i = -f + 206 for f.
2
Solve z + 2*m + 14 = 0, -4*z + 11 = 3*m + 42 for z.
-4
Solve 0 = -3*q - 41*z + 45*z + 10, 2*z + 6 = q for q.
-2
Solve 28*n - 4*l - 6 = 27*n, l = -n + 1 for n.
2
Solve -6497*v + 6495*v = -5*f + 16, 0 = -6*f + 2*v + 20 for f.
4
Solve 0 = -s - 5*p + 3, 199 = s + 37*p + 164 for s.
-2
Solve -2*m + 32 = -66*g + 67*g, -3*g + 4*m = 44 for g.
4
Solve 476*y - 474*y + f + 4 = 0, 0 = -0*y - 0*y + 4*f - 16 for y.
-4
Solve 4*z + 50*y = 48*y + 76, 3*y - 30 = -2*z for z.
21
Solve 21 = b - 5*b + 5, b = 3*o - 10 for o.
2
Solve 4*m - 89 = 5*s - 72, -5*s + 6*m = 23 for s.
-1
Solve 6 = -3*t, 8418*t + 11 = -3*g + 8414*t for g.
-1
Solve -c = 2*r + 1, -4*r + 644 = -4*c + 640 for r.
0
Solve -3*c + 2 = -2*b, 11*c - 3*b = 7*c + 3 for c.
0
Solve 0 = 3*w - 5*c + 27 - 0, -3*c = -2*w - 17 for w.
-4
Solve 0 = 5*i - 5*f - 5, -258 = 5*i - 2*f - 254 for i.
-2
Solve 5*m + 42667 = -2*s + 42708, -3*m + 27 = 2*s for m.
7
Solve -3*o + 38 = -9*k - 1, -5*o - k + 49 = 0 for o.
10
Solve 0 = -7*d - 3*i - 28, 21 - 33 = -2*d + 2*i for d.
-1
Solve 0 = 10*s - 2*q - 58, 3*s + 179*q + 1 = 175*q for s.
5
Solve 5*r + 120707*v = 120711*v + 19, 5*r + 41 = -6*v for r.
-1
Solve -819*r + 4*x = -818*r + 55, 15 = r + x for r.
1
Solve -34 = 6*q - 2*g, -2*g + 33 = 3*q + 35 for q.
-4
Solve 281*d + 4*f = 280*d + 6, 5*d = 5*f - 5 - 15 for d.
-2
Solve 4*g + 14 = -6*x, -g = -4*x + 36 - 60 for x.
-5
Solve -41 = 4*l - 5*v, -5*v - 52 + 77 = 0 for l.
-4
Solve 3*y + 30 = -3*p, -79 = p - 76 for y.
-7
Solve -2*b = -2*d - 14, -22*b - 3*d + 208 = -20*b + 189 for b.
8
Solve 2*f + 4*l - 15 = 7*l, -2*l = 5*f - 28 for f.
6
Solve 0 = 2*d - 4*j + 22, -3*j + 29 = 19*d - 10*d - 8*d for d.
5
Solve -5*c - 657*h = -661*h + 18, 4*h + 2 = -5*c for c.
-2
Solve -29*x = -31*x - 5*p + 65, 2*x - 4*p = -34 for x.
5
Solve 5 - 37 = 4*l + 4*g, -2*l = 10*g + 48 for l.
-4
Solve 2*i + 240*v = 243*v + 11, i - 8 = v for i.
13
Solve -2*d = 2*i, -150*i + 144*i + 5 = d for i.
1
Solve 4*a = 3*p + 5, -288*p - 9 = -285*p - 3*a for p.
-7
Solve -10489*y - x + 5 = -10491*y, 4* | {
"pile_set_name": "DM Mathematics"
} |
6*s**4 + 17*s**4).
-16*s**5 - 32*s**4
Expand ((-5*z**2 + 4*z**2 - z**2)*(-2*z + 2 - 2) + 2*z**3 + 6*z**3 - 3*z**3 - 3*z**3 + 0*z**3 + 2*z**3)*(1 - 4 + 1 + (-1 + 4 - 4)*(4 - 3 - 2)).
-8*z**3
Expand (-2*i + 2*i**3 + 2*i)*((4*i - i - 2*i)*(-2 - 2*i + 2) - 34*i**2 - 4*i**2 - 12*i**2) + 2 + i**3 + i**5 + 3*i**5 - 3*i**5.
-103*i**5 + i**3 + 2
Expand -b - 5*b + 4*b + (-2*b + b + 4*b)*(-1 - 3 + 2).
-8*b
Expand 0*n**3 - 5*n**3 + 4*n**3 + (-4968 + 2116 + 2035)*(-3*n**2 + 3*n**2 + n**3).
-818*n**3
Expand -3*o**2 + o**2 - 4*o**2 + (o + 3*o - 3*o)*(-o + 0*o + 3*o) + 2*o**2 + 1 - 1.
-2*o**2
Expand (-19*h**3 + 87*h**3 + 41*h**3)*(-1 + 1 - 2*h).
-218*h**4
Expand (3 - 5 + 1)*(-2*i**5 + 0*i**5 + i**5) - 2*i**2 + 141 + 0*i**2 - 149 + 4*i**5 - 2*i**4.
5*i**5 - 2*i**4 - 2*i**2 - 8
Expand (16 - 60 + 28 - 25*n**2 + 25)*(3*n**2 + 0*n**2 + n**2).
-100*n**4 + 36*n**2
Expand (-1 - 3 + 2)*(4*a + a**2 - 4*a) + (1 + 1 + 0)*(19 - 4*a - 19)*(-14*a + 10*a + 6*a).
-18*a**2
Expand ((3 - 1 + 0)*(4*u - 2*u - u) + 0*u + u + 0*u)*(5 + 155*u**2 - 154*u**2 + 0).
3*u**3 + 15*u
Expand (4*l**2 - 2*l**2 - l**2)*(-582 - 6*l + 251 + 287).
-6*l**3 - 44*l**2
Expand 2*s + 3*s - 2*s + (2 - 3 + 0)*(0*s - s - s) + s - 4 - 2 + 5 + 3*s + 9*s + 27*s + (0*s - 4*s + 5*s)*(3 + 1 - 1).
48*s - 1
Expand 15*d**2 - 5*d**4 - 15*d**2 + 4*d**4 - 3*d**4 - 2*d**4 + (3*d + 0*d + 6*d)*(2 + 2*d**3 - 2) - d**4 - 2*d + 2*d + 2*d**4 + 0*d**4 - d**4.
12*d**4
Expand (-3 + 3 + 3)*(5 - z - 5)*(-2 - 13*z**2 + 13*z + 10*z**2 + 0).
9*z**3 - 39*z**2 + 6*z
Expand (-39 + 39 - 18*v)*(-6*v + 0*v + 0*v).
108*v**2
Expand (g**4 + 2*g**4 + 3*g**4)*(-73 - 10 - 2).
-510*g**4
Expand (-l + 0*l - 2*l)*(-2*l**4 + 2*l**4 - l**4) - 17*l**5 + 376*l**2 - 376*l**2.
-14*l**5
Expand -v**4 + v**4 - v**4 + (-2*v + 3*v + 0*v)*(4*v**3 - 2*v**3 - 4*v**3) + (-2 + 0 + 4)*(0*v**2 + 0*v**2 - v**4) - 21*v**4 + v**4 - 36*v**4.
-61*v**4
Expand (-12*f**2 + 12*f**2 + 19*f**3)*((9*f + 0*f - 2*f)*(1 - 3 + 0) + (6 - 4 + 1)*(-4 - 2*f + 4)).
-380*f**4
Expand (19*u**2 + 19*u**2 + 17*u**2)*(14 - 3*u - 14)*(2*u + 0 + 0).
-330*u**4
Expand 3*h**2 - h**5 - 3*h**2 + (5*h**2 - 5*h**2 - 4*h**5)*(16 - 23 - 85).
367*h**5
Expand 9*v + 3*v - 20*v + 2 - 2 + v + (1 - 2 + 3)*(-3*v + 5*v - 8*v) + 2*v - 2*v - 9*v.
-28*v
Expand -5*m**5 + 2*m**5 + m**5 + (m**4 - 14*m**2 - 2*m**4 + 40*m**2)*(3*m - 3*m + 3*m).
-5*m**5 + 78*m**3
Expand (-8*g + 71*g + 15*g)*(-2*g**3 - 8*g**3 + 8*g**3) + 2*g**4 - 2*g**4 + 2*g**4.
-154*g**4
Expand (0 + 1 + 1)*(-2*h**3 + 4 - 4) + h**3 + 4*h - 4*h - 457*h**3 - 216*h + 216*h + (4*h**2 - 2*h**2 - 3*h**2)*(h - h + 2*h).
-462*h**3
Expand (o - 3 + 3)*(1326 + 488 - 312).
1502*o
Expand (3*p**2 - 11*p**2 + 0*p**2 - 3*p**2 + 4*p**2 + 0*p**2 + (-2*p + 0 + 0)*(1 - 1 + 2*p) - 2*p**2 + 0*p**2 + p**2)*(-3*p**2 - 4*p + 4*p).
36*p**4
Expand (-2*j**3 + 0*j**3 - 5*j**3)*(-204 - 77 + 616 - 137).
-1386*j**3
Expand 3*t + 7*t - 6*t + (1 - 3 + 0)*(1 - t - 1) - 4*t + 2*t - 4*t + t - 3 + 3 + (4 - 4 - 1)*(0*t + t - 2*t) + (-3 + 3 - 2*t)*(-1 + 0 + 0).
4*t
Expand -b**3 - 2*b**3 + 2*b**3 + (-b**2 + 4*b**2 - b**2)*(-1 + 1 - 2*b) + (-3*b + 24*b - 10*b)*(2*b**2 + 2 - 2) + (0 + 0 + 2)*(16 - 16 - 12*b**3).
-7*b**3
Expand 3*t + 4 - 4 + (-28 - 37 - 6)*(t - 5*t + 3*t).
74*t
Expand (-4*k + 2*k**2 + 4*k)*(-4*k - 2*k + 4*k)*(308*k**2 + 2106 - 2106).
-1232*k**5
Expand (102*r + 71*r + 80*r)*(-4*r**2 + 0*r**2 - 4*r**2).
-2024*r**3
Expand -2*h - 3*h + 7*h + 3*h - 2*h + 2*h + (3 - 7 + 2)*(2*h + 2*h - 6*h) + 33*h + 2113 - 2113.
42*h
Expand (-50 - 83 - 268*i + 132)*(2*i - i - 3*i).
536*i**2 + 2*i
Expand -555*y**2 - 839 + 839 - y**2 + 0*y + 0*y + (-y - 1 + 1)*(-2*y - 4 + 4).
-554*y**2
Expand (-29170*n + 29170*n + 150*n**3)*((0 + 2 - 3)*(0 + 0 - 1) + (3 + 1 - 3)*(-1 + 0 + 2)).
300*n**3
Expand (-2*w + 2*w + 3*w)*(1 - 4 + 0 + (1 - 4 + 5)*(-2 + 5 - 6)).
-27*w
Expand (-2*t + 2*t**3 + 2*t)*(57 - 11*t - 5 + 50*t - 57*t).
-36*t**4 + 104*t**3
Expand (5 + 0 - 4)*(-10*a**2 + 33*a**2 + 69*a**2) + (2*a + 0*a + a)*(a - 2*a + 2*a) + 2*a**2 - a**2 - 3*a**2.
93*a**2
Expand (-4*f - f + 3*f)*(-2*f**3 - 847*f - 2*f**3 + 869*f).
8*f**4 - 44*f**2
Expand 25 + 280*z**3 - 11 - 14 + 2*z**3 + z**2 - z**2 + (0*z**2 - 4*z**2 + 5*z**2)*(z + 0*z + 0*z).
283*z**3
Expand 9*n - 6 + 6 + (-4*n + 0*n + 3*n)*(-2 + 2 + 1) + n - 3 + 3 + 2 - 2 - 13*n.
-4*n
Expand -4*f**3 - 2*f**5 + 4*f**3 + f**4 - f**4 + 2*f**5 + (-2*f**4 - 2*f**2 + 2*f**2)*(-17*f - 35*f + 4*f).
96*f**5
Expand -327*g**3 - 16*g**4 + 327*g**3 + (-2*g + 0*g + g**2 - 4*g**2)*(g**2 + g - g).
-19*g**4 - 2*g**3
Expand (-4*z**2 - 3*z**2 + 4*z**2)*(5*z**2 + 5*z**2 - z**2) + 11*z**4 + 0*z**4 - z**4.
-17*z**4
Expand 29 - 64 + 27 + 8 + 415*y + (0 + 2 - 3)*(y + 0*y - 4*y).
418*y
Expand (1295 - 1295 + 17*l)*(-3 + 3 - 1) + (2*l - 2 + 2)*(1 - 2 + 3).
-13*l
Expand (2*d**2 - d**2 - 6*d**2)*(0 + 3*d**3 + 0) + 18*d**4 - 19*d**5 - 18*d**4.
-34*d**5
Expand -33*m - 3*m**2 - 539 + 539 + (2*m - 1 + 1)*(-m - m + 0*m).
-7*m**2 - 33*m
Expand (-4*t + 4*t - t)*(t**3 - t**3 - t**4) - 38*t + 4*t**5 + 38*t + 0*t**5 + 0*t**5 - 2*t**5 + 6*t**3 - 6*t**3 - 7*t**5.
-4*t**5
Expand (-3*z + z + z)*(19*z - 42*z + 19*z - 13*z**2).
13*z**3 + 4*z**2
Expand (51*f**5 - 138*f**5 - 31*f**5)*(-3 + 3 + 3).
-354*f**5
Expand (-60*n + 2662 - 2662)*(-4 + 4 + 5) + 2*n - 6*n + 3*n.
-301*n
Expand (4 - 3 + 1)*(-5*l**2 + 4*l**2 + 3*l**2) + 3 - 3 + 2*l**2 - 149*l - 3 - 36*l + 39*l + 3*l**2.
9*l**2 - 146*l - 3
Expand (-4*k + 4*k + 7*k)*(5 - 2 - 1 + (-2 + 2 - 1)*(0 + 0 - 2) + (-1 - 5 + 2)*(3 + 2 - 3)).
-28*k
Expand -525*w**5 + 868*w**5 - 705*w**5 + (-3*w + 6*w - w)*(-17*w + 17*w + 2*w**4).
-358*w**5
Expand (1 - 1 + q)*(-330 + 330 - 24*q**2)*(1 + 1 - 4)*(-2 + 2 + 2).
96*q**3
Expand (1 + 1 - 2*o - 2*o)*(33*o**2 - 73*o + 73*o).
-132*o**3 + 66*o**2
Expand (6 - 3 - 2)*((1 - 1 + 1)*(4 - 3*w - 4) + 3*w - 4*w + 2*w) + (-w - 1 + 1)*(5 - 1 + 0).
-6*w
Expand (-2472*b - 2 + 3 + 3609*b)*(-2 + 2 - b)*(4 - 4 + 1).
-1137*b**2 - b
Expand (30*b + 30*b - 68*b)*(1 + 2 + 3)*(0 - 2 + 1).
48*b
Expand -2 - 7 + 28*m**2 + 8 + (-11 - 8 + 11)*(2 + m**2 - 2).
20*m**2 - 1
Expand (-38*n - 29*n + 24*n)*((3 - 3 - n**2)*(2 - 3 - 5) - 2*n**2 - 3*n + 3*n).
-172*n**3
Expand (-2*r**2 + 2*r**2 - r**2 + (-r + 0*r + 2*r)*(2*r + 4*r - r))*(-4*r - 2*r + 4*r)*(r + 1 - 1).
-8*r**4
Expand (m**3 - m**3 + m**3)*(-2*m + 4*m + 0*m) + (4*m - 4*m - m**3)*(34*m - 21*m + 40*m).
-51*m**4
Expand 2*f**2 - 2*f**2 - 2*f**5 - f**2 - 2*f**5 + f**2 + (-2*f**4 + 3 - 3)*(-1 + 2*f + 1) - f**5 + 3*f**5 - f**5 + 672*f - 161*f**5 - 331*f - 341*f.
-168*f**5
Expand (2 + 2 - 6)*(1 - 1 + 2*f**4) - 6*f**2 - 3528*f**4 + f**2 + 3535*f**4 - f.
3*f**4 - 5*f**2 - f
Expand (-195*f + 354*f + 223*f)*(5*f - f - 2*f)*(f**2 + 4*f**2 - 3*f**2).
1528*f**4
Expand (11*t**4 + 4*t**4 + 12*t**4)*(2 - t - 2) + (-5*t**5 + 0*t**5 - t**5)*(2 + 2 - 5).
-21*t**5
Expand (5*u + 0*u - 3*u)*(-12 + 176 + 755).
1838*u
Expand (-2 + 0 + 0)*(0 + 0 - h**3) + 5*h**3 - 4*h**3 + 3*h**3 + 21*h**3 - 8*h + 8*h.
27*h**3
Expand (-5*g - 200 - 6*g + 200)*(9*g**4 + 4*g**4 - 2*g**4).
-121*g**5
Expand 0*x**3 + 0*x**3 + 2*x**3 + (x + 2 - 2 + (1 + 0 + 0)*(-2*x - x + 4*x) + 3 + x - 3)*(-2*x**2 - 2*x**2 - 2*x**2).
-16*x**3
Expand 0*u**4 - u**4 + 0*u**4 + (0*u + 0*u + 2*u**3)*(-2*u + 0*u + 4*u) - u**4 + 0*u**4 + 2*u**4 + 28*u**4 - 36*u - 31*u**4 + 8*u.
u**4 - 28*u
Expand (1 - 2*i - 1 + (3*i + 0*i - 2*i)*(2 - 3 + 0))*(-111 - 54 + 5).
480*i
Expand (0 - 4 + 3)*(0*b + 0*b - 3*b) + (1 + 1 + 0)*(-2*b - 2*b + 0*b) + 0*b + 6*b + 5*b + (3*b - 4*b - b)*(0 + 4 - 2) - b + 0 + 0.
b
Expand (-2 - 2*b**2 + 0*b**2 - b**2)*(-13*b**2 - 13*b**2 + 30*b**2) + (2*b**4 + 2*b**4 - b**4)*(0 - 3 - 1).
-24*b**4 - 8*b**2
Expand 4*t**5 + 4*t**5 - 5*t**5 + (t**2 + t - t)*(-212*t**2 + 165*t**2 - 4*t**3 + 5*t**3).
4*t**5 - 47*t**4
Expand (9 - 2 + 1)*(5 - 4 + 2)*(4 - 10 - 18*m + 19*m).
24*m - 144
Expand (2*a - 3 - 2*a - 20*a)*(a**3 + 2*a**3 - 4*a**3).
20*a**4 + 3*a**3
Expand 1580*f**4 - 3*f**3 - 1579*f**4 - 6*f + 0*f**3 + (f**3 - 4*f**3 + 2*f**3)*(-3*f + f + 0*f).
3*f**4 - 3*f**3 - 6*f
Expand (0*t - 5*t + 3*t)*(7 + 1 - 3 + (1 + 1 - 3)*(-2 + 0 + 4)) + (26 - 62 + 16)*(2*t + 1 - 1).
-46*t
Expand (278*p - 492*p + 0 - 398*p + 0)*(2 - p - 2).
612*p**2
Expand (-2*b + 2 - 2)*(5*b**2 + b**2 - b**2) + 3 + 9*b**3 - 13*b**3 + 12*b**3.
-2*b**3 + 3
Expand (-31*b - 2*b**3 + 1012*b - 17*b**2 + 16*b**2)*(2 - | {
"pile_set_name": "DM Mathematics"
} |
st common factor of 1282771 and 937321?
2303
Calculate the highest common factor of 12375 and 354717.
99
Calculate the highest common factor of 377911218 and 876.
438
Calculate the greatest common divisor of 108 and 22023564.
12
What is the highest common divisor of 530720997 and 15852?
3963
What is the greatest common divisor of 11339341 and 572?
13
What is the highest common factor of 73868690 and 140?
70
What is the highest common factor of 43455555 and 15444?
3861
What is the highest common factor of 9263 and 12703?
1
What is the highest common factor of 36271 and 3781?
19
What is the highest common factor of 7466004 and 116298?
1638
Calculate the highest common factor of 1792 and 919618.
14
Calculate the greatest common divisor of 84506 and 20382302.
2726
Calculate the greatest common factor of 3402602 and 4397792.
9478
Calculate the highest common divisor of 70266844 and 20478.
6826
What is the greatest common factor of 54 and 12640302?
18
What is the greatest common factor of 14780 and 4341040?
20
Calculate the highest common factor of 16384532 and 598018.
5806
Calculate the greatest common factor of 9672 and 95521881.
1209
What is the highest common factor of 144 and 22497088?
16
Calculate the greatest common divisor of 315 and 19121130.
315
What is the highest common divisor of 160394 and 171678?
806
Calculate the highest common divisor of 95139 and 411962441.
10571
Calculate the highest common divisor of 11609455 and 5.
5
What is the highest common factor of 5864 and 54058017?
733
What is the highest common factor of 2211 and 1017334164?
2211
What is the highest common divisor of 218505 and 33285?
105
Calculate the greatest common divisor of 2415 and 351555.
345
Calculate the highest common factor of 16151667 and 223.
223
Calculate the greatest common factor of 301 and 1571951.
43
Calculate the greatest common factor of 6732491 and 46.
23
Calculate the greatest common factor of 1830 and 205716095.
305
Calculate the greatest common divisor of 32 and 104243940.
4
What is the highest common divisor of 38 and 51721363?
19
Calculate the highest common factor of 1094 and 193330.
2
Calculate the highest common factor of 6971744 and 416.
416
Calculate the greatest common divisor of 6842 and 120626.
22
What is the greatest common factor of 13 and 27624246?
13
What is the highest common factor of 8 and 84373960?
8
Calculate the highest common factor of 127089 and 2331011.
523
Calculate the highest common factor of 99760 and 1514960.
2320
Calculate the greatest common factor of 2028830 and 1610.
230
Calculate the greatest common factor of 176 and 20239758.
22
What is the greatest common factor of 216 and 2274?
6
What is the greatest common divisor of 1197625 and 13?
13
What is the greatest common factor of 5330 and 1566370?
130
What is the highest common factor of 3456 and 59076?
108
Calculate the greatest common divisor of 152490091 and 377.
377
Calculate the highest common divisor of 15 and 13485780.
15
Calculate the highest common divisor of 350653 and 2725.
109
Calculate the greatest common factor of 1010 and 74662735.
505
Calculate the highest common factor of 90564817 and 2114.
1057
What is the highest common divisor of 2968246 and 332?
166
Calculate the greatest common divisor of 192 and 45734016.
192
What is the highest common factor of 155480 and 216655400?
11960
What is the highest common divisor of 320 and 116806370?
10
Calculate the greatest common divisor of 28 and 360614142.
14
Calculate the greatest common factor of 7180 and 2258828.
1436
What is the highest common divisor of 3589844 and 100?
4
Calculate the greatest common factor of 315 and 6259239.
63
Calculate the greatest common factor of 50224 and 1112066.
86
Calculate the highest common divisor of 34863591 and 70.
7
Calculate the highest common factor of 7597985 and 145.
5
What is the highest common divisor of 188 and 52156652?
188
Calculate the greatest common factor of 5375 and 23815.
5
What is the greatest common divisor of 403825 and 377?
29
What is the greatest common factor of 1 and 3019577?
1
Calculate the greatest common divisor of 6237 and 144199.
11
Calculate the highest common divisor of 1166963 and 7238.
329
Calculate the highest common divisor of 926044 and 6496.
28
Calculate the greatest common divisor of 889295 and 1285.
5
What is the highest common factor of 2653254 and 2676?
1338
Calculate the greatest common divisor of 98297667 and 234.
117
What is the highest common divisor of 52392 and 81474?
222
What is the highest common divisor of 54 and 27558?
18
Calculate the highest common divisor of 1771875 and 16100.
175
What is the greatest common factor of 18047526 and 966?
42
Calculate the greatest common factor of 30258969 and 117.
39
What is the greatest common divisor of 21116231 and 1883?
269
What is the highest common factor of 44 and 839817220?
44
Calculate the highest common divisor of 122318391 and 247.
13
What is the highest common factor of 14550 and 577753825?
2425
Calculate the greatest common factor of 3282 and 18816.
6
Calculate the highest common divisor of 3 and 49528617.
3
Calculate the highest common divisor of 7642155 and 2085.
15
What is the highest common factor of 708 and 703016388?
708
What is the greatest common divisor of 2474760 and 740460?
2460
What is the highest common divisor of 7215 and 214435?
65
What is the highest common divisor of 5310 and 30650?
10
What is the greatest common divisor of 4508 and 1036193102?
2254
Calculate the greatest common divisor of 670506 and 7266.
6
Calculate the highest common divisor of 2579505 and 19305.
15
What is the greatest common factor of 146560 and 124805?
1145
What is the greatest common divisor of 717 and 5795989?
239
What is the greatest common divisor of 785 and 201883945?
785
Calculate the highest common factor of 2296 and 1046689.
287
What is the highest common divisor of 163 and 30582712?
163
What is the greatest common factor of 4636 and 90592?
76
Calculate the greatest common factor of 113577 and 67989.
393
What is the greatest common factor of 131144 and 129454?
338
Calculate the highest common factor of 502560879 and 354.
177
What is the highest common divisor of 2090 and 21172525?
55
What is the highest common factor of 6976 and 21872376?
872
What is the highest common divisor of 1254974376 and 3048?
3048
What is the highest common divisor of 29070051 and 357?
51
What is the greatest common divisor of 415875901 and 2833?
2833
What is the greatest common factor of 190 and 234826985?
95
Calculate the highest common factor of 2433 and 36237102.
2433
What is the highest common factor of 66 and 865818338?
22
Calculate the highest common factor of 135989295 and 78.
39
Calculate the greatest common factor of 848 and 175478548.
212
What is the highest common divisor of 140 and 4714080?
140
Calculate the highest common divisor of 1968 and 67008924.
492
What is the highest common factor of 8520714 and 369?
9
What is the highest common factor of 13100082 and 912?
114
Calculate the highest common divisor of 22278 and 1422.
474
What is the highest common divisor of 70977031 and 157?
157
What is the highest common factor of 5268 and 6976149?
1317
What is the greatest common divisor of 2257085 and 44300?
2215
What is the greatest common divisor of 206304838 and 194?
194
Calculate the highest common divisor of 71253889 and 44149.
2597
Calculate the highest common divisor of 292 and 85068652.
292
Calculate the greatest common divisor of 932851 and 36811.
131
Calculate the greatest common divisor of 83387097 and 876.
219
Calculate the highest common factor of 78281383 and 8564.
2141
Calculate the highest common divisor of 285308647 and 26.
13
What is the greatest common factor of 171 and 2840329?
19
Calculate the highest common divisor of 16544592 and 3952.
304
What is the greatest common factor of 7459642 and 9909?
367
Calculate the highest common divisor of 1330032 and 9196.
484
Calculate the greatest common factor of 81446 and 1017882.
386
Calculate the greatest common divisor of 962 and 7366554.
26
Calculate the greatest common factor of 58200 and 740.
20
Calculate the greatest common factor of 4629267 and 1462299.
8079
What is the highest common factor of 205620 and 23460?
1380
Calculate t | {
"pile_set_name": "DM Mathematics"
} |
/315 - s**6/180 - 7*s**5/15 - 3*s**2 - 1183. Factor q(d).
2*d**2*(d - 7)*(d + 6)/3
Determine k, given that -22*k**2 + 42*k**2 - 12*k**3 - 156 + 18*k**3 - 62*k = 0.
-13/3, -2, 3
Factor 0 + 0*f + 4/5*f**4 - 264/5*f**2 + 4*f**3.
4*f**2*(f - 6)*(f + 11)/5
Let b(u) be the first derivative of -u**4/9 - 56*u**3/27 + 14*u**2/3 + 40*u + 1151. Suppose b(r) = 0. Calculate r.
-15, -2, 3
Find v, given that -772/9*v**2 - 1528/9*v + 0 - 4/9*v**3 = 0.
-191, -2, 0
Let s = -1099295/337 - -3262. Let y = s + 2703/2359. Factor -4/7 + 0*i**2 - 8/7*i + 4/7*i**4 + y*i**3.
4*(i - 1)*(i + 1)**3/7
Let v(w) be the third derivative of -1 - 1/30*w**5 + 25/6*w**4 - 63*w**2 + 0*w + 17*w**3. What is g in v(g) = 0?
-1, 51
Suppose 0 = -2*l, -b + 2*l + 160 = b. Suppose 0 = -z + 6*z - b. Solve -g + g**4 - 6*g**3 - 3*g**2 - 11*g + z*g**2 + 4 = 0.
1, 2
Let w = -14 - -16. Suppose -w*l - 207 = -3*y - 38, 172 = 3*y + l. Determine u, given that -27*u**2 + y*u**2 - 21*u**2 + 3*u**3 - 12 = 0.
-2, 1
Suppose 0 = 2*f + 3*u + 115 - 37, -f = -5*u + 65. Let i be (-5)/((-50)/f)*(-2)/4. Determine w so that 0 + 3/4*w**4 + 0*w**2 - i*w**3 + 3*w = 0.
-1, 0, 2
Let l = -8625 + 345003/40. Let g(d) be the second derivative of -16*d - l*d**5 + 0 - 1/2*d**3 + 0*d**2 - 3/8*d**4. Find v such that g(v) = 0.
-2, -1, 0
Suppose -4*h + 307 = -0*h - s, h - 4*s = 88. Let k = h + -26. Let k*u**2 + 194*u**3 + 125*u - 91*u**3 - 98*u**3 = 0. Calculate u.
-5, 0
Let x(t) be the first derivative of 1/8*t**2 + 1/6*t**3 - 33 - 1/2*t - 1/16*t**4. Determine b so that x(b) = 0.
-1, 1, 2
Let o(i) be the second derivative of 13*i**4/6 - 28*i**3/3 - 30*i**2 + 23*i. Let v(z) = 9*z**2 - 19*z - 20. Let k(n) = 4*o(n) - 11*v(n). Solve k(c) = 0.
-1, 4
Let n = 11780/3 + -3905. Let o(j) be the first derivative of -20*j + 15/2*j**4 - 1 + 30*j**2 - j**5 - n*j**3. Let o(y) = 0. What is y?
1, 2
Let y be 3*(12/(-6) - -1) + 17 + -11 + 1. Factor 0*m - 2/5*m**y + 0 - 6*m**2 + 16/5*m**3.
-2*m**2*(m - 5)*(m - 3)/5
Let l be (5 + -5 - -1)/((-3)/33). Let h be 77/l - (-5 + -4). Determine p so that 3*p - 9/2 - 1/2*p**h = 0.
3
Let l(a) be the second derivative of -11/5*a**5 + 0*a**2 + 0 + 4*a**4 - 61*a - 8/5*a**6 + 2/3*a**7 + 8/3*a**3. Find o, given that l(o) = 0.
-1, -2/7, 0, 1, 2
Let g(s) = -9*s**2 - 5*s**3 - 6*s**3 + 1 + 10*s**2 + 12*s**3. Let n(t) = 6*t**3 + 23*t**2 + 5. Let d(p) = 5*g(p) - n(p). Factor d(w).
-w**2*(w + 18)
Suppose -5*y - f = 1, -4*y + 15 = -7*y + 3*f. Let g be (-12)/27 + ((-7)/(-63) - y). Find n such that 0 - 2/3*n**3 + 0*n**2 + 0*n + g*n**4 = 0.
0, 1
Let v(o) be the third derivative of o**5/80 + 119*o**4/8 + 14161*o**3/2 + 267*o**2. Factor v(j).
3*(j + 238)**2/4
Let q(f) = 77*f - 283. Let w be q(5). Factor 691*u**2 - 345*u**2 - 349*u**2 - w*u - 867.
-3*(u + 17)**2
Let 87*u**3 - 8*u**2 + 2*u**4 - 34*u**3 - 128*u + 16 - 21*u**3 - 16 = 0. Calculate u.
-16, -2, 0, 2
Suppose -58/3*i**2 + 2/9*i**3 - 176/9*i + 0 = 0. Calculate i.
-1, 0, 88
Let q be -7 - (25/(18375/546))/((-2)/20). Factor 0 + 48/7*w - q*w**3 + 45/7*w**2.
-3*w*(w - 16)*(w + 1)/7
Let x(q) = 6*q**2 - 295*q + 292. Let d be x(1). Find t such that -d*t**3 - 9/2*t**2 - 3*t - 3/4 - 3/4*t**4 = 0.
-1
Let u = -539656/21 + 25698. Let y(s) be the first derivative of 0*s - 4/7*s**2 + u*s**3 + 36. Solve y(h) = 0 for h.
0, 4
Let i = 140984 + -1836103/13. Let j = i + 255. Factor 2/13*m**3 + 2/13*m**2 + 0 - j*m.
2*m*(m - 1)*(m + 2)/13
Let j(v) be the third derivative of -243/10*v**5 - 729/2*v**4 - 9/10*v**6 + 0 - 5*v**2 - v - 6561/2*v**3 - 1/70*v**7. Factor j(a).
-3*(a + 9)**4
Let r(a) be the second derivative of -a**5/25 + 96*a**4/5 + 466*a**3/3 + 1752*a**2/5 + 13887*a. Factor r(u).
-4*(u - 292)*(u + 1)*(u + 3)/5
Let l be (-9)/(-24) - 468/(-288). Let f(v) = 2*v**2 - 77*v + 323. Let p = 4 + -7. Let a(d) = 3*d**2 - 78*d + 322. Let g(y) = l*f(y) + p*a(y). Factor g(i).
-5*(i - 8)**2
Let r(c) = 5*c**4 + 301*c**3 + 290*c**2 - 3*c - 3. Let v(f) = -f**4 - 3*f**3 + f + 1. Let g(o) = -r(o) - 3*v(o). Factor g(b).
-2*b**2*(b + 1)*(b + 145)
Let r(l) = l**2 + 15*l - 75. Let d be r(-19). Let t(c) = 3*c**3 - 5*c**2 - c + 5. Let b be t(d). Find a, given that -1/4 - 1/8*a**b - 3/8*a = 0.
-2, -1
Let p(z) = 2*z + 20. Let b be p(-9). Let w be (-125)/(-20) + b/(-8). Factor -8*u - 4*u**2 - 4 + w*u - 6*u.
-4*(u + 1)**2
Determine p so that -261189*p + 261156*p - 311 + p**2 + 31 = 0.
-7, 40
Let i = 326 - 329. Let s be -12*(-9)/(-36)*i/3. Factor 0 - j + 0*j**2 + 1/4*j**s.
j*(j - 2)*(j + 2)/4
Suppose -3*l + 4*y = 27, -538*l - 3*y + 21 = -540*l. Let 12/7 - 22/7*m + 12/7*m**2 - 2/7*m**l = 0. What is m?
1, 2, 3
Suppose -5*v + 4*j + 15 = 0, v - 3*v - 2*j + 6 = 0. Let p(u) be the first derivative of 16/15*u**v - 3 + 2/25*u**5 + 1/2*u**4 + 4/5*u**2 + 0*u. Factor p(h).
2*h*(h + 1)*(h + 2)**2/5
Let w(y) be the second derivative of y**6/15 - 5*y**5/2 - 44*y**4/3 + 112*y**3/3 + 1220*y. Factor w(z).
2*z*(z - 28)*(z - 1)*(z + 4)
Let n(q) = -4*q**4 + 6*q**3 + 123*q**2 + 10. Let a(u) = 6*u**4 - 10*u**3 - 185*u**2 - 14. Let d(i) = -5*a(i) - 7*n(i). Find r, given that d(r) = 0.
-4, 0, 8
Let n = 515 - -197. Let h = -3556/5 + n. Find a, given that h*a + 4/5*a**2 - 8/5 = 0.
-2, 1
Let f(h) = -2*h**2 + 24*h - 26. Let i be f(9). Suppose 0 = 24*d - i*d + 20. Factor 0 + 0*c**3 - 8/3*c**4 + 8/3*c**2 + 4/3*c - 4/3*c**d.
-4*c*(c - 1)*(c + 1)**3/3
Let t(s) = -2*s + 36. Let u be t(15). Let d = -94 + 97. Factor 3*p**2 + 0*p**2 - u + 2 - 2 - d*p.
3*(p - 2)*(p + 1)
Let t(u) be the first derivative of u**6/2 - 234*u**5/5 - 237*u**4/4 - 2099. Determine w so that t(w) = 0.
-1, 0, 79
Let z(t) be the first derivative of -2*t**5/135 + 7*t**4/9 - 49*t**3/3 - 6*t**2 - t - 306. Let l(j) be the second derivative of z(j). What is p in l(p) = 0?
21/2
Let n(o) be the first derivative of 17*o**7/3360 - o**6/360 - 103*o**3/3 + o**2 + 86. Let z(y) be the third derivative of n(y). Factor z(q).
q**2*(17*q - 4)/4
Let q(y) be the third derivative of -3*y - 1/2*y**4 + y**3 - 1/30*y**5 + 6*y**2 + 0. Let u(j) = -j**2 - 11*j + 6. Let r(l) = -5*q(l) + 4*u(l). Factor r(a).
2*(a + 3)*(3*a - 1)
Let h(i) be the third derivative of -2*i**7/105 - 4*i**6/15 + 3*i**5/5 + 13*i**2 + 1. Factor h(n).
-4*n**2*(n - 1)*(n + 9)
Let w(c) be the third derivative of c**5/300 - c**4/10 - 3*c**3/2 - 1169*c**2. Factor w(n).
(n - 15)*(n + 3)/5
Factor 1/3*a**4 - 83/3*a**2 - 98/3 + 63*a - 3*a**3.
(a - 14)*(a - 1)**2*(a + 7)/3
Let d(k) be the second derivative of -k**6/10 - 87*k**5/20 + 31*k**4/2 - 1522*k - 1. Solve d(t) = 0.
-31, 0, 2
Let t be ((-14)/(-12))/((-1351)/(-579)). Let m(g) be the first derivative of -4/5*g**5 + 14 + 0*g**3 + 0*g**2 + t*g**4 + 1/3*g**6 + 0*g. Factor m(l).
2*l**3*(l - 1)**2
Let s(h) be the second derivative of -135*h - 20*h**2 - 121/2*h**6 + 45/2*h**4 + 1 + 715/4*h**5 - 50*h**3. Find g such that s(g) = 0.
-2/11, 1/3, 2
Solve -2/3*y**2 - 604/3*y - 45602/3 = 0.
-151
Let n(l) = -13*l**3 - 77*l**2 - 213*l + 27. Let v(a) = -12*a**3 - 76*a**2 - 216*a + 24. Let z(k) = -8*n(k) + 9*v(k). Factor z(f).
-4*f*(f + 5)*(f + 12)
Let m(f) be the third derivative of 2*f**2 - 1/105*f**7 + 0*f - 7/60*f**6 + 1 - 2/5*f**5 + 0*f**4 + 0*f**3. Determine b, given that m(b) = 0.
-4, -3, 0
Let k(g) = 10*g**2 + 17*g - 45. Let i(l) = -13*l**2 - 19*l + 46. Let q(a) = -3*i(a) - 4*k(a). Factor q(b).
-(b - 3)*(b + 14)
Suppose 7*t = 8*t - 201. Let a = t + -197. Factor 4/3*y**4 - a*y**2 + 0*y**3 - 8/3*y + 0.
4*y*(y - 2)*(y + 1)**2/3
Suppose 45 = 2*s - 5*p, -2*s - 2*p + 0*p = -24. Suppose 0 = 8*w + s - 31. Solve 4/3 + 5/3*l + 1/3*l**w = 0.
-4, -1
Suppose -m = -5, -3 = -5*q + 5*m - 13. Find s such that 227*s + 384*s**2 - 489*s - 71*s**3 - 15*s**3 + 4*s**4 - 250*s + 14*s**q = 0.
0, 2, 8
Factor -2/3*n**3 + 1108/3*n**2 + 0 - 736*n.
-2*n*(n - 552)*(n - 2)/3
Let w be 750/500 + 2/1 + -3. Let t(o) be the first derivative of -2/9*o**3 + 1/30*o**5 + 1/12*o**4 - 45 + w*o - 1/6*o**2. Suppose t(p) = 0. Calculate p.
-3, -1, 1
What is c in -225/4*c**2 - 700 + 5/4*c**3 + 915/2*c = 0?
2, 8, 35
Let r(i) be the first derivative of -i**4/2 - 284*i**3/3 - 679*i**2 + 1644*i - 5135. Factor r(g).
-2*(g - 1)*(g + 6)*(g + 137)
Suppose -l**3 - 31/4*l**2 + 0 - 27/4*l = 0. Calculate l.
-27/4, -1, 0
Let d = -129 - -149. Let c be (-4)/d + (-4164)/(-20). Factor 630*u**3 + c*u + 1683*u**4 + 772*u**2 - 1539*u**4 + 16 - 6*u**3.
4*(u + | {
"pile_set_name": "DM Mathematics"
} |
for w.
-4
Suppose 7*i + 39 - 46 = 0. Solve 4*s - 13 + i = 0 for s.
3
Let s be ((-120)/18)/((-1)/3). Solve -s = k - 15 for k.
-5
Suppose -5*m + 5*a + 6 + 4 = 0, -4*m + 6 = -5*a. Suppose -m*d = 2*f + 140, -5*d - 42 = -4*d + 4*f. Let x = 36 + d. Solve 0*n + x = n for n.
2
Suppose 9 = -3*n + 15. Suppose -6 = -2*s - 2*g, -s + 5*g - 13 - 2 = 0. Suppose -m - 3*m = s. Solve n*c + 3*c = m for c.
0
Suppose -l = 4*l - 15. Suppose 634*u = 635*u - 2. Solve -u*z - 5 = l for z.
-4
Suppose 12*p + 18 = 15*p. Solve -y = -p*y + 15 for y.
3
Let a be (-70)/21*2/(12/(-9)). Solve 22 - 7 = -a*n for n.
-3
Let w(u) = -u**3 + 5*u**2 + 4*u + 12. Let p be w(6). Let n be (1 - (-11)/1)/1. Solve p*f + n = -3*f for f.
-4
Let l(h) be the second derivative of h**3/2 + 6*h**2 - 25*h. Let k be l(-4). Solve k + 4 = -2*b for b.
-2
Let m be 3*(-1)/3*2 + 10. Solve n + m = 10 for n.
2
Let z = 779 + -709. Solve -9*n + z = 5*n for n.
5
Let s(t) = t**3 - 7*t**2 - t + 10. Let v be s(7). Solve -1 = -4*f + v for f.
1
Let g = 12 + -7. Let v = 47 + -27. Suppose a + 4*a + u - 12 = 0, g*a + 5*u - v = 0. Solve 5*d - a*d = -12 for d.
-4
Let f = -17 + 19. Let x(u) = -20*u - 10 + 9*u - u**2 + f. Let g be x(-10). Solve w + g = 1 for w.
-1
Suppose 0 = -13*g + 6*g. Let i be (256/8)/(-8) - (-5 + g). Solve 0 = x - 0*x + i for x.
-1
Let t(y) = 19 - 3*y - 2 + 5*y - 3*y. Let x be t(15). Let h be x + (-8)/4 - -2. Solve 4 = -g + h for g.
-2
Let i(l) be the first derivative of 0*l**2 + 7/3*l**3 + 1/4*l**4 + 0*l - 7. Let y be i(-7). Solve 3*x - x - 8 = y for x.
4
Let o(f) = -2*f - 4. Let k be o(-5). Let z be 16/(-6) + (-1)/3. Let c = k + z. Solve -c*a + a - 4 = 0 for a.
-2
Let j be -6 + (19 - 56/7). Suppose 0 = -2*s + 3*s - 8. Solve -j*x + s = -3*x for x.
4
Suppose -249 = 11*s - 106*s + 226. Let q be (-6)/15*(0 - 5). Solve 0 = s*j - q*j + 15 for j.
-5
Suppose 17*v - 1245 = 64. Solve 3*y + 80 = v for y.
-1
Suppose 9*k = 17*k - 32. Solve -3*b + 2 = -k for b.
2
Let a(k) = k**3 + 13*k**2 + 19*k + 93. Let g be a(-12). Solve 0 = -u - 7 + g for u.
2
Let g(p) = -p**2 + 25*p - 120. Let s be g(14). Solve -6 = 10*o + s for o.
-4
Suppose -18 = -3*d - 0*z - 5*z, 0 = 3*z. Suppose 5*s - d*s = -4. Solve -l - s - 1 = 0 for l.
-5
Suppose 6*w = 24*w - 72. Solve 0*c - w = c for c.
-4
Let q be 22/(-88) + 10/8. Solve q - 3 = 2*a for a.
-1
Suppose -2*q + 4*c = -q - 14, 5*c + 25 = 5*q. Let g be q - (-4 + (-3 - -2)). Let i(z) = z**3 + 5*z**2. Let w be i(-5). Solve w = g*y - 3*y for y.
0
Let x be 4/18 - 2420/(-45). Let m = 89 - x. Suppose 6*z - z = m. Solve -4*f + z = -5 for f.
3
Let a = 0 + 3. Let u(i) = -2*i**2 + 14*i + 63. Let g be u(10). Solve 4*v - g = a*v for v.
3
Suppose 5*h = -i - 20, -6*h + 3*h = 5*i - 10. Suppose 0 = -2*g + i*g - 9. Solve 0 = 4*m - g*m for m.
0
Let i(n) = -11*n - 47. Let g be i(-5). Solve -9*d - g = -5*d for d.
-2
Suppose 2*k - k = r + 66, 5*k + 237 = -4*r. Let y = r - -40. Let w = y + 38. Solve 4*o - w = -o for o.
3
Let t(o) = -26 - 4*o**2 - 2*o + 5*o**2 + 28. Let a be t(0). Solve a*j - 3 - 7 = 0 for j.
5
Let n = -247 + 251. Solve -36 = n*d - 24 for d.
-3
Suppose 21 - 7 = 2*m. Suppose 5 = -2*g + m*g. Solve 5*f - g = 14 for f.
3
Let p(s) = 2*s**2 - 9*s + 7. Let c be p(5). Suppose 0 = -8*i + c*i - 48. Solve g - i = -3*g for g.
3
Let o be (32/14)/((-84)/(-147)). Let j be 4/(-6) + 17/3. Solve -j*u - 9 = -o for u.
-1
Let o(c) = -6*c - 11. Let h(l) = 2*l + 4. Let m(q) = 8*h(q) + 3*o(q). Let p be m(-1). Let b be (28 + p + 1)/2. Solve 6*n + b = 3*n for n.
-5
Suppose -5*x - 25 = -35. Suppose -5*i + i = -8. Solve i*w + x = w for w.
-2
Let r be 20/6*((-36)/15)/(-2). Suppose -4*z + t = -16, -2*z = -z + 4*t - r. Solve z*j - 8 = -0*j for j.
2
Suppose 0 = 11*a - 104 - 127. Let t = 21 - a. Solve t = 5*h - 8*h - 12 for h.
-4
Suppose 27*d = 29*d - 4. Suppose -3*p = -6*k + 5*k - 8, -3*k = d*p - 20. Solve -k*r + 10 = r for r.
2
Let d(b) = b**2 + 11*b + 7. Let n be d(-11). Suppose 2*x + 4*f = 8 + 18, 3*x = 5*f - 16. Solve -x*i - 20 = -n*i for i.
5
Suppose 2*x + 3*x = -55. Let i = 15 + x. Let n be (-7)/(-28) + 95/i. Solve -4*h + n = 4 for h.
5
Suppose 3*i = -i + 12. Let q(w) = w**3 + 5*w**2 - 5*w + 6. Let c be q(-6). Solve -f - i*f - 20 = c for f.
-5
Let o(s) = -s**3 + 5*s**2 - 5*s + 4. Let d be ((-2)/1)/(2/(-16)). Suppose -t = -5*t + d. Let r be o(t). Solve r = 3*i + 13 + 2 for i.
-5
Let k(t) = t. Let c(v) = -4*v + 4. Let j(g) = c(g) + 5*k(g). Let m be (-2)/(-1) - 4*1. Let a be j(m). Solve -6 = -0*i - a*i for i.
3
Let k(l) = -2*l - 11. Let r be k(-8). Suppose r*f - 116 = -96. Solve 0*i - f*i - 12 = 0 for i.
-3
Let n = -11 + 17. Solve -z = -3 + n for z.
-3
Let w be 1 + (-3)/2 + 595/70. Solve -w + 4 = -2*t for t.
2
Let s(k) = -k**3 - 16*k**2 - 43*k + 60. Let g be s(-12). Solve f - 14*f - 6*f = g for f.
0
Suppose 7 = -2*a + 3*a. Let n(s) = -s + 11. Let h be n(a). Solve 5*i + 1 = -h for i.
-1
Suppose -104*k - 108*k = -226*k + 56. Suppose -3*y + 2*y = -5*l + 25, 3*y = -4*l + 1. Solve l*g = -0*g + k for g.
1
Suppose 7*x = 10 + 11. Let c(f) = -f + 6. Let h be c(4). Solve -h*a = x*a for a.
0
Suppose -14*p + 9 = -11*p. Suppose 3*j - 2*k = 25, 3*j + 4*k - 41 = 2*k. Suppose -z + 1 = -j. Solve -b = p*b - z for b.
3
Let n = -25 + 41. Solve -20 - 12 = n*z for z.
-2
Let g(r) be the first derivative of 2*r**3/3 - 3*r**2 - 8*r - 35. Let a be g(4). Solve a*m - 5*m + 10 = 0 for m.
2
Let u(z) = -z**2 + z + 106. Let b be u(10). Solve b*p = 2*p + 14 for p.
1
Suppose 22 = 6*s - 7*s. Let x = -17 - s. Solve 2 - x = n for n.
-3
Let p = 11 + -6. Suppose -p*b + 12 = -2*t, -t + 0*t = 3*b - 16. Let g = 97 - 91. Solve -g = -t*a + 2 for a.
2
Let r = -11 + -3. Let d be r/70 - (-21)/5. Solve d*s = -s + 5 for s.
1
Let g = -298 - -315. Solve -15 = -2*y - g for y.
-1
Suppose 4*y + 1 = 5*p + 6, 0 = 5*p - 2*y + 5. Let w be (8 - (5 + p)) + -2. Solve -v = -w*v - 1 for v.
-1
Suppose -4*k - 30 = -3*g - 24, -4*k + 42 = 5*g. Solve -g*a + 36 = 3*a for a.
4
Let y be 6 + -2 + 8/4. Suppose 0*r = y*r - 36. Suppose 0 = z - r*z. Solve -2*q + q + 1 = z for q.
1
Let h(m) = -m**2 + 17*m - 53. Let a be h(11). Solve -18*g = -a*g - 15 for g.
3
Suppose -3*j = 5*v - 10, v = -5*j - 4*v + 10. Solve -4*l - 4 - 4 = j for l.
-2
Let c be ((-50)/15)/((-4)/6). Let s(y) = -y**2 + 6*y - 5. Let u be s(c). Suppose -4*d + d = u. Solve d*i = 3*i for i.
0
Let q = 179 + -179. Solve -8 + q = 2*t for t.
-4
Let d be 1*3*(-11 + 12). Suppose 41*b = 45*b + 24. Let j be (-84)/(-18) + (-2)/b. Solve d + 12 = -j*c for c.
-3
Suppose -22*y + 411 = -95. Solve -16*a = -y*a - 7 for a.
-1
Suppose 199 - 71 = 2*h + k, -h + 2*k + 64 = 0. Suppose -2*r - h = -3*v, -v + 1 = 2*r - 7. Solve -5*s + 2 + v = 0 for s.
4
Let l(u) = u**3 - 7*u**2 + 5*u + 11. Let p be l(6). Suppose 5*a + 4*r - 50 = -r, -4*r = -5*a + p. Suppose i - a = -3. Solve -i*m = 2*m for m.
0
Let p be ((-21)/(-2))/((-3)/(-6)). Let r = p + -19. Suppose -8 + r = -3*l. Solve -5*k - l + 27 = 0 for k.
5
Suppose -77 = -35*q + 63. Let s(j) = j**2 - j - 2. Let r be s(3). Suppose 2 + 78 = r*x. Solve -q*b = -0*b - x for b.
5
Let b be (6 - (0 + 3))/((-2)/2). Let i be (b + 12)/3 + 3 + -3. Solve 2*l = -i*l - 15 for l.
-3
Let t(s) = s**3 - 14*s**2 + 9. Let d be t(14). Let v(g) = g + d*g + g - g. Let x be v(2). Solve 4*w + x = -w for w.
-4
Let s(x) = 16*x + 104. Let c be s(-6). Solve 5*m + 8 - c = 0 for m.
0
Let y(g) = 2*g**2 + 152*g + 150. Let i be y(-75). Solve -j - 13*j - 14 = i for j.
-1
Suppose -392 = -144*m + 116*m. Solve 2*l + m = 10 for l.
-2
Suppose 9 = 4*r - u + 2, -3*r + 2*u = 1. Solve -2 = h - r*h for h.
1
Let s(v) = v**3 + 8*v**2 + 9*v + 2. Let f be 2/(24/28)*-3. Let x be s(f). Let r = x - -16. Solve -4*p = -2*p - r for p.
2
Let p(f) be the second derivative of -f**3/6 + 17*f**2/2 - f. Let w be p(7). Let t be ((-4)/w)/(3/(-15)). Solve -z + t = -2 for z.
4
Let j(q) = 7 - 20*q**2 - 23*q - 30*q + q**3 + 32*q. Let b be j(21). Solve b*a - 4*a - 12 = 0 for a.
4
Suppose 11 = 3*i - t, -2*i + 4*t = 2*i - 4. Suppose i*c - 9*c + 4 = 0. Solve -4*g + 3 = -c for g.
1
Let c be (-8)/6*114/(-76). Solve c*x - 41 = -33 for x.
4
Let s(d) = d**3 + 2*d + 2. Let b be s(-1). Let v be ((-50)/10)/(b/1). Solve 0 = v*a - a + 12 for a.
-3
Let k be (4 - 14)/(3/9). Let d = k + 35. Solve 0 = -d*v + 7 + 13 for v.
4
Let k = 9 - -1. Suppose 0*m - 2*m + k = 0. Suppose o - m*i = 10, -3*o + 4 = | {
"pile_set_name": "DM Mathematics"
} |
t common multiple of 55368 and 4584.
10575288
What is the common denominator of 181/58590 and -92/1454985?
8729910
What is the common denominator of 25/1637328 and 173/595392?
6549312
What is the smallest common multiple of 2565 and 9918?
148770
Calculate the common denominator of 81/15400 and -67/121660.
1216600
What is the smallest common multiple of 930 and 3380?
314340
What is the smallest common multiple of 54 and 4234?
114318
What is the common denominator of -73/2005524 and -38/9831?
2005524
Find the common denominator of 157/19800 and -67/165.
19800
Calculate the common denominator of 47/113757 and -46/15.
568785
Calculate the smallest common multiple of 6552 and 3640.
32760
Calculate the lowest common multiple of 392535 and 697840.
6280560
Calculate the least common multiple of 3806 and 8800.
1522400
What is the common denominator of 47/113750 and -37/22?
1251250
What is the common denominator of 119/10810 and -27/37835?
75670
What is the least common multiple of 98 and 588?
588
What is the least common multiple of 128 and 112?
896
Calculate the least common multiple of 3663 and 1628.
14652
What is the smallest common multiple of 758 and 906?
343374
Calculate the common denominator of 17/6124 and -71/200.
306200
What is the least common multiple of 150 and 2200?
6600
Calculate the common denominator of 31/1125 and -109/1710.
42750
Find the common denominator of 32/3751 and 65/33.
11253
What is the common denominator of 7/371680 and -17/204424?
4088480
Find the common denominator of 66/4025 and 31/2723.
1565725
What is the least common multiple of 11898 and 5949?
11898
Calculate the common denominator of 61/76945 and 3/90935.
1000285
Calculate the lowest common multiple of 102455 and 100.
2049100
What is the common denominator of -67/8451 and 76/81?
25353
Calculate the common denominator of -79/36 and -19/15760.
141840
What is the common denominator of -7/3344 and 21/996512?
996512
Find the common denominator of -173/13680 and 197/17100.
68400
Calculate the lowest common multiple of 3159 and 801.
281151
What is the common denominator of 83/22845 and -61/18?
137070
Calculate the least common multiple of 30 and 24315.
48630
What is the common denominator of 115/6 and -2/195731?
1174386
What is the lowest common multiple of 72852 and 2?
72852
Calculate the common denominator of 4/103845 and -31/4515.
103845
What is the lowest common multiple of 109578 and 168?
438312
Calculate the common denominator of 91/552 and 85/316.
43608
Calculate the common denominator of -45/33232 and -45/124.
33232
Find the common denominator of 61/56224 and -139/18.
506016
Calculate the least common multiple of 112 and 2020.
56560
What is the lowest common multiple of 536 and 3886?
15544
What is the common denominator of -137/31872 and 95/356?
2836608
What is the common denominator of 117/76840 and 41/34?
76840
What is the lowest common multiple of 702 and 11115?
66690
What is the common denominator of -81/23612 and -40/3?
70836
What is the common denominator of -39/25319 and -4/77?
278509
Find the common denominator of -39/1616 and 19/7272.
14544
What is the common denominator of -55/2218 and -83/818442?
818442
Calculate the lowest common multiple of 7 and 712370.
4986590
Calculate the smallest common multiple of 4124 and 48.
49488
What is the lowest common multiple of 138000 and 51000?
2346000
Find the common denominator of -11/33408 and -41/552.
768384
Calculate the lowest common multiple of 378 and 40284.
281988
What is the common denominator of -67/48 and -65/6512?
19536
What is the common denominator of -31/78 and -35/3614?
10842
What is the common denominator of -145/168984 and -113/168984?
168984
What is the common denominator of 6/133 and 11/146110?
1022770
What is the smallest common multiple of 1806 and 18?
5418
What is the lowest common multiple of 3168 and 26928?
53856
What is the common denominator of -61/2870 and 8/1382479?
13824790
Calculate the common denominator of 39/2 and -41/621272.
621272
What is the smallest common multiple of 771 and 135696?
135696
What is the common denominator of -7/2144 and 23/2584?
692512
Calculate the common denominator of -26/861213 and -10/89091.
2583639
Calculate the common denominator of 29/8 and 89/21808.
21808
What is the lowest common multiple of 129760 and 35684?
1427360
What is the common denominator of -17/20254 and -125/12792?
243048
Find the common denominator of 131/52962 and -139/28518.
370734
Calculate the lowest common multiple of 202112 and 2.
202112
Find the common denominator of 54/17045 and -197/1260.
613620
Calculate the common denominator of -63/31505 and -27/126020.
126020
What is the lowest common multiple of 200 and 18230?
364600
What is the lowest common multiple of 784 and 3424?
167776
Calculate the common denominator of 28/142641 and 1/2430.
1426410
Calculate the common denominator of 89/3465 and 19/70.
6930
What is the lowest common multiple of 8424 and 54?
8424
Calculate the least common multiple of 25884 and 12942.
25884
What is the common denominator of 107/12 and 149/111366?
222732
Calculate the common denominator of -47/222653 and 45/53.
222653
Find the common denominator of 57/70 and 143/82180.
82180
What is the smallest common multiple of 1359 and 39864?
119592
Calculate the common denominator of -37/187 and -65/21153.
359601
What is the smallest common multiple of 1697 and 12?
20364
What is the lowest common multiple of 408 and 12312?
209304
Calculate the lowest common multiple of 96 and 425936.
2555616
What is the common denominator of 113/30744 and -33/280?
153720
Calculate the smallest common multiple of 157626 and 326928.
8827056
What is the lowest common multiple of 6424 and 11242?
44968
Calculate the lowest common multiple of 6272 and 47040.
94080
Find the common denominator of 71/1209 and -57/47554.
142662
Find the common denominator of -45/104 and -5/1474.
76648
Calculate the common denominator of 99/474700 and 31/5050.
474700
What is the least common multiple of 22 and 642?
7062
What is the common denominator of 37/6014 and -161/70422?
2183082
What is the smallest common multiple of 454608 and 44352?
1818432
What is the lowest common multiple of 135666 and 30148?
271332
Calculate the least common multiple of 19 and 63802.
63802
Find the common denominator of -17/1676 and 23/36.
15084
What is the smallest common multiple of 156 and 4875?
19500
Calculate the least common multiple of 20 and 37384.
186920
What is the smallest common multiple of 1664 and 36480?
474240
Calculate the smallest common multiple of 5423 and 1073.
200651
What is the common denominator of -86/15 and 16/2067627?
10338135
Calculate the lowest common multiple of 116450 and 90.
1048050
Calculate the smallest common multiple of 2134 and 1793.
347842
Calculate the least common multiple of 8372 and 644.
8372
Calculate the smallest common multiple of 31737 and 2982.
444318
What is the common denominator of -19/20 and -111/178450?
356900
Calculate the common denominator of 137/216 and 31/311616.
934848
What is the lowest common multiple of 107543 and 387?
967887
Find the common denominator of -119/20 and -13/400525.
1602100
What is the common denominator of 46/5 and 11/3756?
18780
Find the common denominator of -63/39728 and 35/268.
2661776
Find the common denominator of 11/6 and -57/4874866.
14624598
What is the common denominator of -97/72 and -83/11384?
102456
What is the least common multiple of 133 and 266?
266
Calculate the lowest common multiple of 115920 and 40572.
811440
What is the least common multiple of 39 and 28667?
1118013
Calculate the least common multiple of 20349 and 714.
40698
What is the least common multiple of 11764 and 2768?
47056
What is the least common multiple of 1534760 and 1184?
6139040
What is the common denominator of 59/21794 and 9/2564?
43588
What is the common denominator of 7/71632 and -5/296?
71632
Calculate the common denominator of -29/67258 and 65/6.
201774
What is the lowest common multiple of 1377390 and 65590?
1377390
Calculate the common denominator of -59/768 and -71/2592.
20736
What is the least common multiple of 14240 and 120?
42720
What is the lowest common multiple of 14690 and 1640?
2409160
Find the common denominator of -17/230 and 32/10705.
492430
Find | {
"pile_set_name": "DM Mathematics"
} |
te the highest common factor of 6666 and 44.
22
Calculate the highest common factor of 194 and 20273.
97
What is the highest common divisor of 11 and 1419?
11
What is the highest common divisor of 6 and 22548?
6
What is the greatest common divisor of 25901 and 59?
59
Calculate the greatest common factor of 16 and 196.
4
What is the greatest common divisor of 120 and 3480?
120
What is the greatest common divisor of 2628 and 24?
12
Calculate the highest common divisor of 32 and 200.
8
Calculate the greatest common factor of 297 and 1089.
99
Calculate the highest common factor of 225 and 1305.
45
What is the highest common factor of 177 and 59?
59
Calculate the highest common factor of 7085 and 195.
65
What is the highest common divisor of 3454 and 110?
22
What is the highest common divisor of 80180 and 190?
190
What is the highest common divisor of 97 and 1?
1
What is the greatest common factor of 16 and 4496?
16
Calculate the greatest common divisor of 175 and 1435.
35
What is the highest common divisor of 119 and 85?
17
Calculate the greatest common divisor of 380 and 4028.
76
What is the greatest common factor of 24 and 1280?
8
Calculate the greatest common divisor of 287 and 41.
41
Calculate the greatest common divisor of 28 and 1432.
4
Calculate the highest common factor of 308 and 594.
22
What is the greatest common factor of 259 and 333?
37
Calculate the greatest common divisor of 5460 and 350.
70
What is the greatest common divisor of 264 and 48?
24
Calculate the highest common factor of 1044 and 754.
58
Calculate the highest common factor of 4 and 128.
4
What is the greatest common divisor of 43 and 56072?
43
What is the highest common factor of 40 and 1336?
8
Calculate the highest common factor of 21746 and 249.
83
Calculate the highest common factor of 144 and 108.
36
What is the highest common divisor of 212 and 11342?
106
Calculate the highest common factor of 20 and 2390.
10
Calculate the highest common factor of 737 and 55.
11
What is the highest common factor of 1428 and 1360?
68
Calculate the greatest common factor of 22 and 22.
22
What is the highest common factor of 65 and 65?
65
What is the greatest common divisor of 13 and 403?
13
What is the highest common factor of 738 and 9?
9
Calculate the greatest common divisor of 104 and 130.
26
What is the greatest common factor of 6771 and 333?
111
Calculate the greatest common factor of 560 and 28.
28
What is the highest common factor of 5 and 75?
5
What is the highest common factor of 420 and 672?
84
Calculate the highest common factor of 88 and 1496.
88
Calculate the greatest common factor of 516 and 12.
12
What is the highest common divisor of 1417 and 13?
13
Calculate the highest common factor of 14 and 11053.
7
Calculate the highest common factor of 38 and 12293.
19
What is the highest common divisor of 27 and 63?
9
What is the greatest common divisor of 136 and 34?
34
Calculate the greatest common factor of 321 and 6.
3
Calculate the highest common factor of 1953 and 18.
9
Calculate the highest common factor of 10 and 605.
5
Calculate the highest common factor of 38106 and 87.
87
Calculate the highest common factor of 14 and 642.
2
What is the greatest common factor of 51 and 4216?
17
Calculate the highest common divisor of 59 and 2891.
59
What is the greatest common divisor of 128 and 608?
32
What is the highest common divisor of 13 and 29263?
13
What is the greatest common divisor of 35 and 82775?
35
What is the highest common divisor of 24 and 1632?
24
Calculate the greatest common divisor of 1498 and 42.
14
What is the greatest common divisor of 58 and 406?
58
What is the highest common factor of 403 and 62?
31
What is the highest common divisor of 336 and 1904?
112
Calculate the greatest common divisor of 8601 and 183.
183
Calculate the highest common divisor of 6 and 177.
3
What is the greatest common factor of 38 and 57?
19
What is the highest common divisor of 57864 and 12?
12
Calculate the greatest common factor of 2525 and 303.
101
Calculate the highest common factor of 7 and 2.
1
What is the greatest common factor of 58 and 10498?
58
Calculate the greatest common divisor of 738 and 82.
82
What is the highest common divisor of 60 and 1340?
20
What is the highest common divisor of 125 and 145?
5
What is the greatest common factor of 391 and 23?
23
Calculate the greatest common divisor of 292 and 365.
73
What is the greatest common factor of 81 and 171?
9
Calculate the greatest common divisor of 469 and 658.
7
Calculate the greatest common factor of 18 and 129.
3
What is the greatest common divisor of 612 and 2516?
68
Calculate the greatest common factor of 84 and 12.
12
What is the greatest common factor of 12 and 5892?
12
What is the highest common divisor of 2387 and 63?
7
Calculate the highest common factor of 2407 and 29.
29
Calculate the greatest common factor of 18 and 81.
9
Calculate the greatest common divisor of 670 and 40.
10
What is the highest common factor of 4087 and 67?
67
What is the highest common divisor of 43456 and 7?
7
What is the highest common factor of 63 and 27153?
63
Calculate the highest common factor of 11492 and 104.
52
What is the greatest common factor of 3488 and 64?
32
Calculate the greatest common factor of 53 and 477.
53
What is the highest common divisor of 115 and 368?
23
Calculate the greatest common divisor of 85 and 28390.
85
What is the highest common factor of 336 and 528?
48
Calculate the highest common divisor of 30 and 40.
10
Calculate the highest common divisor of 6 and 1074.
6
What is the greatest common factor of 16 and 472?
8
What is the greatest common divisor of 100 and 40?
20
What is the greatest common divisor of 20 and 760?
20
Calculate the greatest common divisor of 4 and 106.
2
What is the greatest common divisor of 1196 and 782?
46
What is the highest common divisor of 318 and 4240?
106
Calculate the highest common divisor of 427 and 549.
61
What is the greatest common divisor of 5891 and 137?
137
Calculate the greatest common divisor of 968 and 913.
11
Calculate the greatest common factor of 909 and 45.
9
What is the greatest common divisor of 1804 and 246?
82
Calculate the highest common divisor of 12 and 294.
6
What is the highest common divisor of 46 and 345?
23
What is the highest common divisor of 11136 and 87?
87
Calculate the greatest common factor of 570 and 1995.
285
What is the greatest common divisor of 2 and 14426?
2
What is the greatest common factor of 154 and 385?
77
What is the greatest common divisor of 16 and 464?
16
What is the greatest common divisor of 140 and 160?
20
What is the greatest common divisor of 288 and 9?
9
Calculate the highest common divisor of 183 and 3.
3
Calculate the highest common divisor of 89 and 3382.
89
Calculate the greatest common divisor of 19613 and 11.
11
Calculate the greatest common divisor of 3625 and 87.
29
What is the highest common factor of 61 and 8479?
61
Calculate the highest common factor of 180 and 28260.
180
Calculate the highest common factor of 184 and 138.
46
What is the greatest common factor of 360 and 1960?
40
What is the highest common factor of 26 and 117?
13
What is the greatest common factor of 20 and 60?
20
Calculate the highest common factor of 856 and 8.
8
What is the greatest common divisor of 147 and 483?
21
What is the highest common factor of 36 and 56?
4
What is the highest common factor of 89 and 34532?
89
What is the greatest common factor of 48 and 48?
48
Calculate the greatest common divisor of 270 and 90.
90
Calculate the greatest common divisor of 6728 and 116.
116
Calculate the greatest common divisor of 28762 and 292.
146
What is the greatest common factor of 267 and 623?
89
What is the greatest common factor of 342 and 1152?
18
Calculate the greatest common factor of 11 and 7513.
11
What is the highest common factor of 11 and 11?
11
What is the greatest common divisor of 23 and 1495?
23
Calculate the highest common factor of 627 and 4587.
33
What is the highest common factor of 13368 and 8?
8
What is the greatest common divisor of 189 and 147?
21
What is the highest common factor of 88 and 297?
11
Calculate the highest common factor of 30 and 2490.
30
What is the highest common factor of 65 and 39?
13
What is the highe | {
"pile_set_name": "DM Mathematics"
} |
*c. What are the prime factors of c?
17, 199
Let a(d) = -d**2 - 9*d + 7. Let n be a(4). List the prime factors of (-12)/24 - n/2.
2, 11
Let k be 6/21 + 141/21. Suppose k*b - 4*b = 276. List the prime factors of b.
2, 23
Suppose 3*a - 15 = 0, -p - 202 = -4*a - 830. List the prime factors of p.
2, 3
Let i be ((-1)/(-2))/((-2)/(4*-3)). Suppose 0 = -2*k - 2*k + 4*j + 184, 4*k - 183 = i*j. What are the prime factors of k?
3, 5
Let l(p) = -p**2 - 9*p - 10. Let g be l(-7). Suppose -g*c - 6 = -42. Suppose 0 = o - 2*o - 5*h - c, 0 = -4*o - 3*h + 32. What are the prime factors of o?
11
Let i(o) = 2*o**2 + 14*o + 6. Suppose z + 37 = -4*b, 4*b - 2*z + 56 = -b. What are the prime factors of i(b)?
2, 3, 11
List the prime factors of (1/(-2))/((54/48012)/(-9)).
4001
Let p be (2 - ((0 - 3) + 4))*0. What are the prime factors of (5/(-10)*298)/(-1 - p)?
149
Let t(u) = -5*u + 6. Let y be t(27). Let s = y + 147. List the prime factors of s.
2, 3
Suppose -l + 3*l + 4 = 0. List the prime factors of 3/l*(-1022)/21.
73
Let l = -202 - -474. List the prime factors of l.
2, 17
Let d be 56/26 - 4*(-5)/(-130). Suppose -d*t = 3*t - 375. List the prime factors of t.
3, 5
Suppose 0 = -3*c + 15, -c = -y - 10 + 25. Suppose -6*m + m - y = 0, 5*q = -5*m - 385. Let f = q + 111. What are the prime factors of f?
2, 19
Let u = -4 + 9. Suppose 133 + 32 = -u*a. List the prime factors of (-10 + 1)*a/11.
3
Let i(x) = -x**3 - 16*x**2 - 16*x - 12. Let g be i(-15). Suppose 4*z = g + 9. What are the prime factors of z/((16/(-20))/(-4))?
3, 5
Suppose 2086 = 4*d + 3*u, -6*d - 5*u + 2610 = -d. What are the prime factors of d?
2, 5, 13
Let l = -13 + 6. List the prime factors of l/((-21)/(-6)) + 48.
2, 23
Let a(t) = -4*t**3 - 21*t**2 + t - 11. List the prime factors of a(-8).
5, 137
Let t = 11 - 13. Let j be ((-1)/t)/((-5)/(-60)). Suppose u = j*u - 255. List the prime factors of u.
3, 17
Suppose 5*c + 17 = 6*c. Suppose 2*y + c = -3*j, -2*j + 4*y = 6 + 16. Let v(g) = g**2 + 7*g + 9. What are the prime factors of v(j)?
3
Suppose -3*p - 1210 = 7*p. Let g = -101 - p. List the prime factors of g.
2, 5
Suppose 0 = x - 5*x - 168. What are the prime factors of x/(-3) - (3 + -3)?
2, 7
Suppose 2*g = 3*u + 8323 - 1582, 2*u = 6. List the prime factors of g.
3, 5
Let r = -41 + 65. List the prime factors of (104/r)/((-3)/(-36)).
2, 13
Suppose 30*m + 31*m - 44652 = 0. What are the prime factors of m?
2, 3, 61
Suppose -123 = 3*p - 4*l, 3*l = 2*p - p + 41. Let z = 20 - p. What are the prime factors of z?
61
Suppose k + 0*k = 116. Let o = 276 - k. What are the prime factors of o?
2, 5
Let g be 4/3*(-4)/(12/9). Let l(x) = 3*x**2 - 7*x - 5. List the prime factors of l(g).
71
Suppose 5 = 3*y - 73. Let v = y - 22. Suppose 8*s = v*s + 264. What are the prime factors of s?
2, 3, 11
Let s(q) = 2*q**3 - q**2 - 2*q - 1. Let a be s(3). Let u = -19 + a. List the prime factors of u.
19
Suppose 9*x + 439 = -74. List the prime factors of (-3)/((-36)/(-32))*x.
2, 19
Let o be (-12)/7 - (-24)/(-84). Let m(u) = -u**3 - 10*u**2 - 10*u - 13. Let v be m(-9). List the prime factors of 1/(o/104*v).
13
Suppose 3*x - 14 - 1 = -3*m, -1 = -3*x + 4*m. Suppose -4*j = -g - 281, 211 = x*j - g - 0*g. List the prime factors of j.
2, 5, 7
Suppose 10*d - 14*d = -188. Suppose -c + 2*v + 6 = -d, 25 = c + 5*v. List the prime factors of c.
3, 5
Suppose 0 = 4*c + 2*c + 60. Let a be -1 + (-3 - -1) - c. Let j(t) = -t**2 + 16*t - 7. List the prime factors of j(a).
2, 7
Let c(t) = -279*t + 1142. What are the prime factors of c(-9)?
13, 281
Let z(g) = 103*g - 15. What are the prime factors of z(1)?
2, 11
Suppose 8*d - 2265 = 1735. List the prime factors of d.
2, 5
Let i(u) be the first derivative of -u**4 - u**3/3 - u**2 - u - 6. Let v be i(-1). Suppose -5*p + 35 = -5*x, -8*x + v*x - 4 = 2*p. List the prime factors of p.
2
Let v(d) = -53*d**3. Let w be v(1). Let x = -5 + w. What are the prime factors of 3/(-6)*x/1?
29
List the prime factors of (-5 - 531/(-27))*201/2.
2, 11, 67
Let o(i) = 22*i**3 - 10*i**2 - 9*i**3 - 17*i**3 - 4 + i + i. List the prime factors of o(-5).
2, 59
Suppose -5*v - 244 = -4*t + t, 5*t = -v - 60. Let s be (-4 + 6)*v/4. Let m = s + 42. What are the prime factors of m?
17
Suppose 46*w - 2158 = 50. List the prime factors of w.
2, 3
Let n = 468 - -46. What are the prime factors of n?
2, 257
Suppose -6*j + 1061 = -1777. Suppose u - g = -u + j, -g = -u + 239. What are the prime factors of u?
2, 3, 13
Let w = -324 - -481. What are the prime factors of w?
157
Suppose 2*z - s = 3174, -10*z - s - 1589 = -11*z. List the prime factors of z.
5, 317
Suppose -a = 2*a - 9. Let i(k) = -15*k - 13 + 9*k**2 + k**a - 2 + 0*k**2. List the prime factors of i(-10).
5, 7
Let g = -2388 + 4475. What are the prime factors of g?
2087
Suppose 2*v + 2*v = 5*o + 6, o + 5 = -3*v. Let q be 0/((-4)/2) - v. What are the prime factors of (-4 + 33)/(q/1)?
29
Let o(x) = -x**3 - x**2 + x + 1. Let c be o(-1). What are the prime factors of 1/(-3) - (770/(-6) + c)?
2
Let q(c) = c**2 - 13*c + 23. Let g be q(-11). Let k = g - -140. Suppose 10*u - k = 3*u. List the prime factors of u.
61
Suppose 0*v - 28 = -7*v. Suppose l + 4*l = -v*q + 48, 32 = 5*l - 4*q. Suppose -3*p + l*p - 2*k = 96, 5*k = -15. What are the prime factors of p?
2, 3
Suppose -1728 = -17*j + 9*j. What are the prime factors of j?
2, 3
Suppose 2*l + 7 = 1. Let h(x) = -x**3 - 4*x**2 - 2*x + 1. Let t be h(l). List the prime factors of (-12)/(-8)*26 - t.
41
Let p = 63 + -43. Suppose 0 = -4*z + 4*v + p, 5*v + 3 = 2*z + 8. Let x = -2 + z. What are the prime factors of x?
2
Let a(f) = f**2 + 11*f - 8. Let y be a(-12). Suppose 4*j + j + 3*i = 100, -31 = -3*j + y*i. List the prime factors of j.
17
Suppose -7*t = -10*t + 798. Let i = -161 + t. What are the prime factors of i?
3, 5, 7
Let u be 160/112*7*1. What are the prime factors of (148/u)/((-8)/(-120))?
2, 3, 37
Suppose 0 = -2*x, z = -4*z + x + 195. Suppose 0*k + z = -3*k. Let p = k - -15. What are the prime factors of p?
2
Let s(k) = 4*k + 17. Let m be s(18). Suppose -3*w = -13 - m. What are the prime factors of w?
2, 17
Let z(n) = 5*n**2 - n. Let r = -6 + 8. Suppose r*i + 8 = 4*k, 3*i - k + 11 = 4*k. What are the prime factors of z(i)?
2, 11
Let w = -1820 - -3567. What are the prime factors of w?
1747
Suppose 4 = -g, 5*r - 3*r + 32 = -5*g. What are the prime factors of (-322)/r - (-3)/9?
2, 3
Let p be ((-16)/(-20))/((-6)/(-75)). Let s(f) = -f + 10. Let z be s(p). Suppose k - 41 + 0 = z. What are the prime factors of k?
41
Suppose -5*u = 5*m - 1395, -5*m - 166 = -u + 131. Let v = u - 34. What are the prime factors of v?
2, 31
Let t = -16 + 16. Suppose -5*l + 4*z + 185 = t, 2*z + 154 = 3*l + l. Suppose 0 = 3*x - 3*q - 170 + l, 4*q - 80 = -2*x. What are the prime factors of x?
2, 3, 7
Let o = -11 + 13. Let y be (1 + 6/(-2))/(-1). Suppose 3*h - y = o*h, 15 = k - 3*h. List the prime factors of k.
3, 7
Let n(w) = w**3 - 5*w**2 + 4*w + 2. Let d be n(4). Suppose 5 = -0*l + l. List the prime factors of (l/15)/(d/186).
31
Let k(a) be the second derivative of a**5/20 - a**4/2 + 5*a**3/2 - 4*a**2 - 6*a. What are the prime factors of k(6)?
2, 41
Let p be (-414)/12 - 4/8. Let y = p + 41. List the prime factors of y.
2, 3
Suppose 18348 = 70*u - 58*u. What are the prime factors of u?
11, 139
Suppose 23744 - 8839 = 11*x. What are the prime factors of x?
5, 271
Let c(p) = 5*p + 7. Let k be c(-6). Let x = -13 - k. List the prime factors of 2/x - (-4114)/55.
3, 5
Suppose 10*j - 6*j = 8. Suppose j*b = 4*b - 96. Let t = -2 + b. What are the prime factors of t?
2, 23
Suppose 10*j - 12 = 7*j. Suppose j*o = o - 3*q + 9, 0 = -q - 3. What are the prime factors of o?
2, 3
Let u(a) = a**3 + 2*a**2 + 5. Let p be u(0). Suppose k + 84 = p*k. List the prime factors of (15 + -1)/(14/k).
3, 7
Suppose -3*s - 3*s - 18 = 0. Let r = 21 - s. What are the prime factors of r?
2, 3
Let x be (84/(-35) - (-6)/(-10)) + 0. List the prime factors of 866/9 - (29/9 + x).
2, 3
Suppose 16*h - 14*h = 194. List the prime factors of h.
97
What are the prime factors of 6/(-24) - (-37384)/32?
2, 73
Suppose -3941 = -4*r - 5*q, 4*r + 2*q + 3962 = 8*r. What are the prime factors of r?
23, 43
Suppose -6 = 3*v - v, -4*v = -2*t + 22. Suppose -5*i + 2*i + 45 = 0. Suppose -t*x + 55 - i = 0. List the prime factors of x.
2
Let j | {
"pile_set_name": "DM Mathematics"
} |
n -42377*k**2 + 42376*k**2 - 51 + 149.
-k**2 + 98
Collect the terms in p + 650 - 33 - 617.
p
Collect the terms in -161*v + 205*v + 93*v.
137*v
Collect the terms in -1458012*m**2 - 5*m + 1458014*m**2 + 5*m.
2*m**2
Collect the terms in 10009 + 10013 - 30042 - v - 2*v + 10013.
-3*v - 7
Collect the terms in -3365*u**3 - 22*u**2 + 58 - 28 - 30.
-3365*u**3 - 22*u**2
Collect the terms in -93*c**3 - 86*c**3 - 72*c**3 + 526*c**3 - 79*c**3 - 106*c**3.
90*c**3
Collect the terms in 0 + 219311*b + 0 - 1 + 3*b**2.
3*b**2 + 219311*b - 1
Collect the terms in -159*f**3 + 158*f**3 + 587*f + 602*f + 583*f + 594*f - 2366*f.
-f**3
Collect the terms in -340 - 341 + 1109 - 428 - 381*h**3.
-381*h**3
Collect the terms in 93 + 84 - 350 + 13*b + 89 + 83.
13*b - 1
Collect the terms in 132*c - 139*c**2 + 120*c - 254*c + 1 - 869*c**2.
-1008*c**2 - 2*c + 1
Collect the terms in -35*w**3 + 61 + 27 - 100 + 462*w**3 + 12.
427*w**3
Collect the terms in -2*d**2 - 2*d**2 - 1503 + d**3 + 4*d**2 - 2677.
d**3 - 4180
Collect the terms in 415857*q**2 - 213428*q**2 - 211640*q**2.
-9211*q**2
Collect the terms in 4*d - 3*d + 35*d**2 - 4 + 182253*d**3 - 36*d**2 + 0*d.
182253*d**3 - d**2 + d - 4
Collect the terms in -6*v - 3873 - 1478 + 5351.
-6*v
Collect the terms in -441633990 + 862*u + 441633990.
862*u
Collect the terms in -6*d + 8*d - 57 - d - 126*d**2 + 57 + 0*d.
-126*d**2 + d
Collect the terms in -725 - 246*o**2 + 3*o + 1046 - 321.
-246*o**2 + 3*o
Collect the terms in -59 + 184 - 48 + 186 - 2*v.
-2*v + 263
Collect the terms in 1323*b + 1310*b + 1308*b - 5248*b - 4*b**3 + 1308*b + 5*b**3.
b**3 + b
Collect the terms in b**2 + 107 + 139 - 20*b**2 + 216 - 309.
-19*b**2 + 153
Collect the terms in 83636 + y - 41803 - 41817.
y + 16
Collect the terms in 85239 + 21*y**2 - 24*y**2 - 255715 + 85240 + 85236.
-3*y**2
Collect the terms in 70932*h**2 - 35410*h**2 - 3 - 35385*h**2 + 3 + 0.
137*h**2
Collect the terms in 1 + 0 - 6105*j - 2390*j.
-8495*j + 1
Collect the terms in -4 - 1650*w**2 - 4424*w**2 + 2*w**3 + 12 + 1730*w**2.
2*w**3 - 4344*w**2 + 8
Collect the terms in -2*q**2 + 91079*q + 309069*q - 57059*q.
-2*q**2 + 343089*q
Collect the terms in -164*k**2 - 9310*k + 18615*k - 9305*k.
-164*k**2
Collect the terms in 2300809*k**3 + 8 + 12 - 2300817*k**3.
-8*k**3 + 20
Collect the terms in 326989*s**2 + 12*s - 327056*s**2 - 4*s - 8*s + 2*s**3.
2*s**3 - 67*s**2
Collect the terms in 18671*i + 19475*i - 57631*i + 19488*i.
3*i
Collect the terms in 2271*r - 5*r**3 + 2 + 181*r - 2 - r**2 + 1.
-5*r**3 - r**2 + 2452*r + 1
Collect the terms in 4062398*f**2 + 6*f**3 - 4062398*f**2.
6*f**3
Collect the terms in 24*k + 3*k + 11*k - 16*k + 9*k + 6*k.
37*k
Collect the terms in 9*p**2 - 9675 + 4829 + 21*p**2 + 4846 + 33*p**2.
63*p**2
Collect the terms in 510*t - 939*t - 511*t - 326*t - 361*t.
-1627*t
Collect the terms in 0*l + 7*l - 211 - 127 - 6*l - 3*l.
-2*l - 338
Collect the terms in 1192*x - 3794*x - 615*x - 5254*x.
-8471*x
Collect the terms in 6128752*i + 5047543*i - 285127*i.
10891168*i
Collect the terms in 10 + 382*n + 544*n + 552*n - 102 - 1476*n.
2*n - 92
Collect the terms in 3343*b**2 - 66*b - 40*b + 106*b - 9542*b**2.
-6199*b**2
Collect the terms in -663*v**2 - 1452*v + 2879*v - 1428*v.
-663*v**2 - v
Collect the terms in 69018*x - 34451*x - 34578*x - 3*x**2.
-3*x**2 - 11*x
Collect the terms in 2079*u**2 - 3913*u**2 + 2033*u**2.
199*u**2
Collect the terms in k + 61596 - 122704 + 61108.
k
Collect the terms in 69*v**3 - 3*v**3 - 9*v**3 - 2 - 5*v**3 + v**3.
53*v**3 - 2
Collect the terms in 34 + 2 - 4*c**2 + 234*c - 109*c - 118*c.
-4*c**2 + 7*c + 36
Collect the terms in -4 + 42 - 30 - 11 + 4*n**2.
4*n**2 - 3
Collect the terms in 4643*y + 4697*y - 9349*y.
-9*y
Collect the terms in 0*q - 10*q - q + 2*q - 6 + 11*q + 15.
2*q + 9
Collect the terms in -347*k - 636*k - 427*k + 800*k.
-610*k
Collect the terms in 1791*h**3 + 3163*h**3 - 3094*h**3.
1860*h**3
Collect the terms in 6*i - 80*i**2 + 25*i + 38*i**2 + 7*i + 2*i + 44*i**2.
2*i**2 + 40*i
Collect the terms in -27 - 25 + 221*l**2 + 91 - 18 + 98*l**2 - 22.
319*l**2 - 1
Collect the terms in -340752 - 340751 + 1022263 - 7*n**3 - 340760.
-7*n**3
Collect the terms in -59917*l**2 + 29915*l**2 + 31667*l**2.
1665*l**2
Collect the terms in 212 + 946*d - 168*d - 102 - 109.
778*d + 1
Collect the terms in -31*v - 15381*v**2 - 151*v + 181*v.
-15381*v**2 - v
Collect the terms in 212*r + 209*r - 423*r - 32*r**2 + 97*r**2.
65*r**2 - 2*r
Collect the terms in 619*d - 621*d + 4658911 - 4658911.
-2*d
Collect the terms in 212*y**3 + 3*y + 144*y**2 + 219*y**2 - 368*y**2.
212*y**3 - 5*y**2 + 3*y
Collect the terms in 47640*r**2 - 1 - 122*r - 47648*r**2 + 116*r + 1.
-8*r**2 - 6*r
Collect the terms in 42 - 17 - 25 - 62579*m.
-62579*m
Collect the terms in -6810*x + 13606*x - 6796*x + 2800*x**2.
2800*x**2
Collect the terms in -4317*z**2 - 1497*z**2 - 859 + 859.
-5814*z**2
Collect the terms in -1 - 974*a - 963*a + 5 + 1966*a - 3 + 17*a**2 + 1.
17*a**2 + 29*a + 2
Collect the terms in -69*k + 11*k - 901 + 30*k + 858 + 26*k.
-2*k - 43
Collect the terms in -659*j**2 - 668*j**2 - 639*j**2 + 2045*j**2.
79*j**2
Collect the terms in -13*g**2 - 12*g**2 + 8*g**2 - 27*g**2 - 36*g**2.
-80*g**2
Collect the terms in -5*q - 6*q + q + 3*q - 12*q + 4*q + 21*q - 4*q.
2*q
Collect the terms in 128*x**2 - 28934706*x + 28934706*x.
128*x**2
Collect the terms in 32*c + 36*c - 104*c + 34*c + 21*c.
19*c
Collect the terms in -42 - 41 + 160 + 11369*i - 36 - 41.
11369*i
Collect the terms in -7 + 33*d + 3 + 4 - 860*d + 420*d.
-407*d
Collect the terms in -57*b - 84*b - 66 - 30*b + b**2.
b**2 - 171*b - 66
Collect the terms in -14*w + 67911690 - 216*w - 67911690.
-230*w
Collect the terms in -6546*b - 5611 + 1928 + 13085*b - 6540*b.
-b - 3683
Collect the terms in 4924*n + 2293*n + 1404*n.
8621*n
Collect the terms in -9*p**2 + 3*p - 298*p**2 + 19*p**2.
-288*p**2 + 3*p
Collect the terms in -12 + 0*s - 2*s + 4*s + 14599*s**2 + 4184*s**2.
18783*s**2 + 2*s - 12
Collect the terms in -3087*k**3 - 3306 + 1314 + 3092*k**3.
5*k**3 - 1992
Collect the terms in 9 + 17 - 26 + 5284013*r.
5284013*r
Collect the terms in -5661349*u**2 + 2830651*u**2 + 2830450*u**2.
-248*u**2
Collect the terms in -6712*v**3 + 1710301 - 1710301 + 6711*v**3.
-v**3
Collect the terms in -10*k**2 + 1401*k**3 + 44*k**2 - 34*k**2 + 3173*k**3.
4574*k**3
Collect the terms in 26*d**2 + 26*d**2 + 10*d**2 - 62*d**2 - 3*d**3 - 84*d**3.
-87*d**3
Collect the terms in -530*r + 86 + 50 - 136 + 529*r.
-r
Collect the terms in -292*v - 9 - 175*v - 1 - 186*v + 793*v + 9.
140*v - 1
Collect the terms in -1943*m - 33975 + 33975.
-1943*m
Collect the terms in 2*q**2 - 100185 - 100481 - 100453 + 301683.
2*q**2 + 564
Collect the terms in 5*g - 200*g + 116*g - 8*g**2 + 114*g - 35*g.
-8*g**2
Collect the terms in 7*k + 0 - 4*k + 479*k**2 + 225*k**2 + 3 + 199*k**3.
199*k**3 + 704*k**2 + 3*k + 3
Collect the terms in 1 + 22*n + 24*n - 86*n + 44*n - 1.
4*n
Collect the terms in 12 + 4*t + 12*t - 5*t - 9*t.
2*t + 12
Collect the terms in -8*v**2 - 23*v**3 + 42*v**3 + 12*v**2 - 31*v**3 - 10*v**3 - 8*v**2.
-22*v**3 - 4*v**2
Collect the terms in 156789008 - 156789008 + 1848*x**2.
1848*x**2
Collect the terms in 3154*i + 4 + 12 + 8 - 24.
3154*i
Collect the terms in -495041*b - 495053*b - 495042*b + 1 + 1485124*b.
-12*b + 1
Collect the terms in -16*q + 5308337157 - 5308337157.
-16*q
Collect the terms in 20*a + 3141 + 3136 + 3147 - 9424.
20*a
Collect the terms in -269565*u**2 - 22*u**3 - 269687*u**2 + 539246*u**2.
-22*u**3 - 6*u**2
Collect the terms in 28219 + 28208 - 56427 - 5027*b + 2*b**3.
2*b**3 - 5027*b
Collect the terms in -2*o**3 - 127444986241771 + 127444986241771 + o**3.
-o**3
Collect the terms in -51878 - 51845 + 103722 - 30*z.
-30*z - 1
Collect the terms in 4640*a**2 - 8324*a**2 - 5578*a**2.
-9262*a**2
Collect the terms in -795*h + 63 - 24 - 38 + 824*h.
29*h + 1
Collect the terms in -355*a**3 - 394*a**3 + 1063*a**3 - 455*a**3.
-141*a**3
Collect the terms in -57739*v**3 - 56810*v**3 + 116607*v**3.
2058*v**3
Collect the terms in 2*l**2 - 31582*l**3 + 6*l**2 - 5724*l**3 - 8*l**2.
-37306*l**3
Collect the terms in 5716*t - 1 - t**3 + 1049*t - 545*t.
-t**3 + 6220*t - 1
Collect the terms in -2256*h - 2261*h - 1914*h - 2258*h + 8694*h.
5*h
Collect the terms in 4 + 91*c**2 + 107*c**2 - 69*c**2 + 1 | {
"pile_set_name": "DM Mathematics"
} |
- 3/(-3)). Suppose 2*k + 2 = t*k, 0 = b - 3*k - 2. Suppose -14 - b = -i. Is 6 a factor of i?
False
Suppose 5*s - 23 = -4*d, -3*d - 5*s + 5 = -8*d. Let j be (0/(2/2))/2. Suppose j = 3*r - d*r - 44. Is r a multiple of 16?
False
Suppose 11 = -4*q + 27. Is 32 a factor of ((-1)/2)/(q/(-1280))?
True
Let r = 1040 - 572. Is r a multiple of 18?
True
Suppose -3*o - 5*o = -40. Suppose s = 2*u + 170, -o*s - u - 2*u = -902. Is 48 a factor of s?
False
Suppose -6*t + 116 = 8. Is t a multiple of 4?
False
Suppose -3*l - 28 = -4*t, -9 = 5*l + 3*t - 1. Does 14 divide (29 - -3)*(-14)/l?
True
Let w = 1691 + -1109. Is w a multiple of 6?
True
Is -6*(-4)/(-6)*1368/(-16) a multiple of 10?
False
Let d(w) be the third derivative of 7*w**5/10 + w**4/24 - 11*w**2. Is d(1) a multiple of 8?
False
Let m(a) be the third derivative of 4*a**4/3 + a**3/3 + 70*a**2. Let l = 4 + -2. Does 15 divide m(l)?
False
Let v(s) = -2*s + 4. Let q be v(-7). Suppose 0*h + 3*t = h - q, 3*h - 3*t - 36 = 0. Does 3 divide h?
True
Let a(c) = -c**2 + 78*c - 245. Is 20 a factor of a(33)?
True
Suppose -3*i + 5*p - 7*p + 416 = 0, 2*i - 288 = 4*p. Is 10 a factor of i?
True
Suppose -871*f = -878*f + 1470. Is 7 a factor of f?
True
Suppose -9456 = 14*j - 29840. Is j a multiple of 54?
False
Suppose 2*i = -7*i + 45. Suppose 85 = 4*n - 2*r - 39, 3*r + 155 = i*n. Is 12 a factor of n?
False
Let k(f) = -f + 7. Let u be k(11). Let q be (118/4)/((-2)/u). Suppose 4*i + 71 = 5*n, 0*n - q = -4*n + i. Does 5 divide n?
True
Suppose 12*x + 5563 - 21499 = 0. Is 16 a factor of x?
True
Suppose 19 = 4*g - 17. Let a be g/(2*4/8). Suppose 0 = -y - a + 12. Is 3 a factor of y?
True
Suppose t = 3*d - 3, -t - 5 = -d - 2. Is 37 a factor of 6/(-14) - (-2076)/(-28)*t?
True
Let q be ((-13)/(-4))/((8/(-4))/(-48)). Let y = q + -30. Is y a multiple of 24?
True
Let r(z) = -z**3 - 3*z**2 + 8*z + 6. Let m be r(-5). Suppose 3*p = 7*p - m. Suppose -2*q + c = -2*c - 96, 0 = -p*c + 8. Does 19 divide q?
False
Let i(f) = -f + 7. Let c be i(5). Let b = 145 + -137. Suppose -c*p - 4 = -b. Is p even?
True
Suppose 18*q - 16*q - l = 270, -5*q + 705 = 5*l. Does 14 divide q?
False
Is 37 a factor of -222*((-8)/1)/4 + 0?
True
Suppose 6 - 42 = -3*c. Is 5 a factor of c?
False
Let b be (-39)/(-6) + (-6)/4. Suppose 537 = b*h - 218. Let m = -97 + h. Does 18 divide m?
True
Let p be 1*(-3 + 8 + -2). Let c(i) = 4*i**2 - 5*i**2 + p*i**2 + 1 + i - i**2. Is 2 a factor of c(3)?
False
Suppose -3*f = 4*y - 548, 4*f - f - 532 = 4*y. Let g be 6/2 - f*1. Is 4/(g/(-57) - 3) a multiple of 19?
True
Suppose -36*h - 28*h + 8128 = 0. Is h a multiple of 4?
False
Suppose -24*c + 24604 = -26468. Is 38 a factor of c?
True
Suppose 11*k = 4*k + 1890. Suppose 3*q = 9*q - k. Is q a multiple of 5?
True
Let s = -236 + 93. Let r = s - -342. Suppose -3*m - h + r = 0, 41 = m - 5*h - 4. Is m a multiple of 24?
False
Suppose 14 = -s + 18. Suppose 4 = s*n, p - 5*p + 81 = -3*n. Does 12 divide p?
False
Suppose 5*z + q = 2*z - 14, -q = -z - 2. Let k be z/12 + 32/6. Suppose -k*y + 3*y = -38. Is 19 a factor of y?
True
Suppose 10*v + 8214 = 47*v. Is 37 a factor of v?
True
Suppose -b - v = -2*b + 1279, -2*b + 2534 = 4*v. Does 15 divide b?
True
Let y = 4 + -1. Suppose -n = y*n - 152. Suppose 5*g - n = 107. Is 5 a factor of g?
False
Suppose 0 = -3*t + 3*p + 6, -5*p - 25 = -2*t - 10*p. Suppose -t*c = -9*c + 672. Is 21 a factor of c?
True
Let u = 19 - 19. Is 4 a factor of -1 + u - (1 + -22)?
True
Suppose -2 = -k + 1. Is 33 a factor of (-302)/((-10)/15*k)?
False
Suppose 3*p = -9 + 15. Suppose -6 + 1 = u + o, -2*o = -u - p. Is u/(3*6/(-99)) a multiple of 11?
True
Let n = -49 - -40. Is 11 a factor of (-2)/n - (-6190)/90?
False
Suppose 2*w = -2*s + 40 - 2, -39 = -w + 4*s. Does 23 divide w?
True
Let d(a) = 57*a - 2. Let c be d(6). Suppose 5*y = 4*r - r + c, 2*r + 205 = 3*y. Is 16 a factor of y?
False
Suppose 0 = -2*l + 5*m - 103, 0 = 5*l + 2*m + 75 + 197. Let v = -21 - l. Is 23 a factor of v?
False
Let c = 831 - 421. Suppose -c = m - 6*m. Does 10 divide m?
False
Suppose -6*o = -o - 3*w - 120, o = 5*w + 2. Suppose 5*z - b + 7 = -29, o = -4*z - b. Is 8 a factor of z*((-96)/14)/2?
True
Let c(g) = -146*g - 13. Is 9 a factor of c(-2)?
True
Let d be 21*2/(2 + -4). Let r = -35 - 17. Let u = d - r. Is u a multiple of 31?
True
Let w(m) = 3*m**2 - 2*m - 22*m**2 - 13 + 2*m**3 + m**2. Is w(10) a multiple of 35?
False
Let r be (-1*(-28)/6)/(8/12). Suppose -10 = 2*x + 6. Let n = r - x. Is n a multiple of 3?
True
Let u(d) = -5*d**3 + 10*d**2 + 3*d + 1. Let q(y) = -y**3 - y. Let b(o) = -6*q(o) + u(o). Is b(-7) a multiple of 13?
False
Let o(w) = -w. Let l(s) = s. Let u(b) = -l(b) - 2*o(b). Let h be u(2). Suppose h*p + 4*t + 12 = 4*p, -1 = t. Is 2 a factor of p?
True
Suppose -2*x - 716 = -4*x + 2*z, -z + 360 = x. Is x a multiple of 11?
False
Suppose 0 = 4*t - 5*t + 5. Suppose t*s - 264 = 21. Suppose 0 = 3*r - s + 3. Does 3 divide r?
True
Let p be 2 - 419/(-2) - (-15)/30. Let b = -139 + p. Is b a multiple of 21?
False
Suppose -5*p + 0*p = -15. Is 21*9/(-6)*(-2)/p a multiple of 7?
True
Let b(n) = 23*n - 19*n**3 - 11 - 12 - 19*n**2 + 20*n**3. Does 32 divide b(18)?
False
Let f = -17 - -23. Let v be 20/f*27/18. Suppose 5*p + t = 42 + 36, 69 = v*p - 2*t. Does 3 divide p?
True
Suppose 7*d = 5*d + 856. Suppose j = f - 4*j - 113, -4*f = 4*j - d. Is f a multiple of 24?
False
Suppose -5*x - l + 265 + 119 = 0, 4*l + 4 = 0. Suppose x + 43 = 6*z. Is z a multiple of 10?
True
Does 4 divide 8556/10 + (10 - (-768)/(-80))?
True
Let b be ((-30)/20)/((-6)/16). Let y be (-112)/(-49) + b/(-14). Let r = 3 + y. Is r a multiple of 5?
True
Let t(m) = m**3 - 10*m**2 - 13*m - 15. Let u be 65/4 + (-10)/40. Let i be (u/(-2))/((-4)/6). Is t(i) a multiple of 13?
True
Suppose 4*c - h - 548 = 0, -4*c - 2*h - 3*h + 524 = 0. Let s = c - 92. Is 12 a factor of s?
False
Let z be (-18)/(-6) + (0 - 1). Suppose z*t - 7 = 17. Let c = t - -5. Is 16 a factor of c?
False
Suppose 0*r + 3*n = 4*r - 119, 145 = 5*r - 3*n. Let b = 29 - r. Is b a multiple of 3?
True
Suppose -10 = 4*y - 6*y. Suppose y*i = -i + 270. Does 9 divide i?
True
Let g = -23 - -26. Suppose -6*l + 39 = -g*l. Is 2 a factor of l?
False
Let k = -106 - -112. Let n(x) = 31*x - 18. Is 21 a factor of n(k)?
True
Let o(h) = h + 22. Let b be o(-18). Suppose b*w + 3*a = 5*a + 242, -4*w = 5*a - 235. Is 10 a factor of w?
True
Let j(n) = n + 36. Let m(l) = l**3 + 13*l**2 + 13*l + 14. Let q be m(-12). Let s be (-2 + -28)*q/4. Is 8 a factor of j(s)?
False
Let a = 61 + -59. Does 21 divide 162/a + (-2)/(-1)?
False
Suppose -15 = 2*r - 5*r. Let i = 9 + -5. Suppose -5*q + r*c = -100, i*q + 4*c = 7*q - 57. Is q a multiple of 8?
False
Suppose -v + a = 2*a - 1, -3*a = -2*v + 12. Suppose -v - 24 = -3*h - 3*z, -z - 9 = -2*h. Does 4 divide h?
False
Suppose y - 24 = 3*z - 2*z, -3*z = 5*y + 80. Let o = -27 - z. Is -3 + 4 + 4 - o a multiple of 7?
True
Suppose -61027 = -22*k + 221. Does 32 divide k?
True
Suppose 5 = 5*p, -4*h + 5*p + 973 = -462. Is h a multiple of 18?
True
Suppose 0*r - 75 = 5*r. Let u be (r/(-10))/((-6)/(-8)). Suppose u*g + 12 - 222 = 0. Is g a multiple of 15?
True
Suppose 6*p - 861 = -21. Is p a multiple of 5?
True
Suppose 4*q = 2*h + 42, 0 = -3*q + 2*h - 4*h + 42. Suppose 7*t = 3*t + q. Suppose 52 = 2*c - t*l - 71, -5*c = 2*l - 317. Is 21 a factor of c?
True
Let w(p) = 9*p**3 - 2*p**2 - 2*p - 3. Let y(r) = 9*r**3 - 3*r**2 - 2*r - 4. Let a(k) = 5*w(k) - 4*y(k). Suppose -h + 0 + 1 = 0. Does 5 divide a(h)?
True
Suppose 0 = -3*g - 2*d + d + 19, -4*g = -3*d - 21. Let w(t) = 0*t - 6*t + g - 12*t - 9*t. Is 19 a factor of w(-3)?
False
Let f(o) be the first derivative of -3*o**2 - 12*o - 6. Is 5 a factor of f(-7)?
True
Suppose -10 = -4*m + 110. Suppose 7*s - 240 + m = 0. Does 24 divide s?
False
Let h = -138 - -358. Is 11 a factor of h?
True
Let p = -5 + 10. Let q be 2/(1/45*10). Suppose -3*u + 4*f = u - 84, -q = u + p*f. Is u a multiple of 6?
False
Let z = -14 - -15. Let n(l) = 31*l**2 + l - 2. Does 8 divide n(z)?
False
Let f(r) = 170*r + 795. Does 53 divide f(0)?
True
Let m = -1201 + 2137. Is m a multiple of 52?
True
Let o = 368 + -178. Does 4 divide o?
False
Suppose d = i - 85, -3*d - 180 = -2*i + d. Is i a multiple of 10?
True
Let b = -36 + 41. Suppose -2 = 2*j + b*o - 103, -o + 3 = 0. Is j a multiple of 6?
False
Let d | {
"pile_set_name": "DM Mathematics"
} |
PM and 11:03 PM?
647
What is 708 minutes before 10:10 PM?
10:22 AM
What is 195 minutes before 9:39 PM?
6:24 PM
How many minutes are there between 9:49 AM and 10:56 AM?
67
How many minutes are there between 8:49 AM and 2:55 PM?
366
What is 289 minutes after 10:55 AM?
3:44 PM
How many minutes are there between 10:08 AM and 3:31 PM?
323
How many minutes are there between 7:31 AM and 1:47 PM?
376
How many minutes are there between 10:57 PM and 2:11 AM?
194
What is 576 minutes after 1:53 AM?
11:29 AM
How many minutes are there between 5:43 AM and 5:32 PM?
709
How many minutes are there between 3:11 PM and 12:53 AM?
582
What is 688 minutes after 11:59 AM?
11:27 PM
What is 136 minutes after 6:23 AM?
8:39 AM
How many minutes are there between 3:59 AM and 10:25 AM?
386
What is 682 minutes after 7:49 PM?
7:11 AM
What is 255 minutes before 4:28 PM?
12:13 PM
What is 481 minutes before 6:20 AM?
10:19 PM
What is 467 minutes before 3:39 PM?
7:52 AM
How many minutes are there between 9:45 PM and 4:31 AM?
406
How many minutes are there between 3:45 PM and 10:26 PM?
401
What is 692 minutes after 8:11 PM?
7:43 AM
What is 532 minutes before 3:05 PM?
6:13 AM
What is 493 minutes after 8:50 AM?
5:03 PM
What is 231 minutes after 12:55 AM?
4:46 AM
How many minutes are there between 9:12 AM and 2:10 PM?
298
What is 557 minutes after 10:38 AM?
7:55 PM
How many minutes are there between 7:32 AM and 10:23 AM?
171
What is 715 minutes before 5:02 PM?
5:07 AM
What is 62 minutes after 3:49 AM?
4:51 AM
What is 420 minutes before 12:35 PM?
5:35 AM
How many minutes are there between 9:56 PM and 8:24 AM?
628
What is 505 minutes before 12:26 PM?
4:01 AM
How many minutes are there between 3:48 PM and 2:15 AM?
627
How many minutes are there between 8:05 PM and 8:41 PM?
36
What is 530 minutes before 3:56 AM?
7:06 PM
What is 52 minutes after 3:49 PM?
4:41 PM
How many minutes are there between 7:22 AM and 2:31 PM?
429
How many minutes are there between 1:12 AM and 7:43 AM?
391
What is 254 minutes after 4:52 AM?
9:06 AM
What is 630 minutes before 11:02 AM?
12:32 AM
What is 366 minutes after 9:33 PM?
3:39 AM
How many minutes are there between 9:31 PM and 7:56 AM?
625
How many minutes are there between 9:26 AM and 5:12 PM?
466
What is 700 minutes before 1:06 PM?
1:26 AM
What is 528 minutes after 5:53 AM?
2:41 PM
What is 677 minutes before 12:04 PM?
12:47 AM
What is 249 minutes before 7:59 AM?
3:50 AM
How many minutes are there between 7:58 PM and 6:15 AM?
617
What is 59 minutes before 9:14 AM?
8:15 AM
What is 643 minutes after 6:49 PM?
5:32 AM
How many minutes are there between 7:26 PM and 12:09 AM?
283
How many minutes are there between 4:31 PM and 5:06 PM?
35
How many minutes are there between 5:05 AM and 8:34 AM?
209
How many minutes are there between 7:53 PM and 6:36 AM?
643
What is 270 minutes before 6:08 PM?
1:38 PM
How many minutes are there between 2:18 PM and 1:22 AM?
664
How many minutes are there between 11:02 AM and 7:04 PM?
482
What is 473 minutes before 1:11 AM?
5:18 PM
What is 149 minutes after 6:35 AM?
9:04 AM
What is 607 minutes after 5:55 PM?
4:02 AM
What is 634 minutes before 7:48 AM?
9:14 PM
What is 557 minutes after 1:06 PM?
10:23 PM
How many minutes are there between 1:38 AM and 1:17 PM?
699
What is 71 minutes after 11:35 AM?
12:46 PM
What is 120 minutes after 8:33 PM?
10:33 PM
What is 597 minutes before 9:35 PM?
11:38 AM
How many minutes are there between 1:44 PM and 2:04 PM?
20
What is 553 minutes after 9:13 AM?
6:26 PM
What is 468 minutes before 7:18 PM?
11:30 AM
What is 255 minutes before 7:36 AM?
3:21 AM
How many minutes are there between 9:00 PM and 11:16 PM?
136
What is 264 minutes before 7:37 AM?
3:13 AM
How many minutes are there between 10:45 PM and 12:15 AM?
90
How many minutes are there between 7:40 PM and 8:16 PM?
36
What is 388 minutes before 4:29 PM?
10:01 AM
How many minutes are there between 1:09 AM and 9:53 AM?
524
What is 160 minutes before 7:53 PM?
5:13 PM
What is 501 minutes before 11:36 PM?
3:15 PM
How many minutes are there between 3:42 AM and 10:30 AM?
408
How many minutes are there between 6:36 AM and 4:56 PM?
620
What is 165 minutes before 2:51 PM?
12:06 PM
What is 111 minutes after 12:45 AM?
2:36 AM
How many minutes are there between 2:44 PM and 8:50 PM?
366
How many minutes are there between 7:44 AM and 4:32 PM?
528
What is 254 minutes before 12:12 AM?
7:58 PM
What is 688 minutes after 12:21 PM?
11:49 PM
How many minutes are there between 5:32 AM and 5:14 PM?
702
What is 456 minutes before 6:31 PM?
10:55 AM
How many minutes are there between 5:13 PM and 3:59 AM?
646
How many minutes are there between 6:12 AM and 10:58 AM?
286
What is 204 minutes after 4:21 PM?
7:45 PM
What is 302 minutes after 2:27 AM?
7:29 AM
What is 172 minutes after 11:37 PM?
2:29 AM
How many minutes are there between 4:30 PM and 8:27 PM?
237
What is 321 minutes after 7:04 AM?
12:25 PM
How many minutes are there between 4:47 PM and 7:39 PM?
172
How many minutes are there between 5:26 AM and 6:16 AM?
50
What is 680 minutes after 10:56 AM?
10:16 PM
How many minutes are there between 3:14 PM and 5:36 PM?
142
How many minutes are there between 12:25 AM and 12:24 PM?
719
How many minutes are there between 2:01 AM and 6:52 AM?
291
How many minutes are there between 7:32 AM and 3:25 PM?
473
What is 185 minutes before 8:38 PM?
5:33 PM
What is 128 minutes before 5:53 PM?
3:45 PM
What is 689 minutes after 8:37 PM?
8:06 AM
What is 667 minutes after 8:31 PM?
7:38 AM
What is 661 minutes after 11:46 AM?
10:47 PM
How many minutes are there between 11:09 PM and 7:43 AM?
514
What is 366 minutes after 5:05 PM?
11:11 PM
How many minutes are there between 2:19 PM and 9:53 PM?
454
How many minutes are there between 5:42 PM and 8:46 PM?
184
How many minutes are there between 9:31 PM and 4:05 AM?
394
How many minutes are there between 12:45 PM and 2:35 PM?
110
How many minutes are there between 8:16 PM and 6:50 AM?
634
How many minutes are there between 11:17 PM and 5:29 AM?
372
What is 120 minutes before 7:51 PM?
5:51 PM
How many minutes are there between 6:37 PM and 8:32 PM?
115
How many minutes are there between 9:33 PM and 3:15 AM?
342
What is 197 minutes before 10:09 AM?
6:52 AM
How many minutes are there between 12:57 PM and 3:36 PM?
159
How many minutes are there between 8:41 PM and 5:58 AM?
557
What is 117 minutes before 9:43 AM?
7:46 AM
What is 332 minutes before 3:58 AM?
10:26 PM
What is 353 minutes before 8:30 AM?
2:37 AM
What is 331 minutes before 3:43 PM?
10:12 AM
How many minutes are there between 5:18 PM and 10:18 PM?
300
How many minutes are there between 7:22 AM and 5:50 PM?
628
What is 705 minutes after 7:09 AM?
6:54 PM
What is 647 minutes after 9:25 PM?
8:12 AM
What is 419 minutes before 2:01 PM?
7:02 AM
How many minutes are there between 9:59 PM and 8:42 AM?
643
How many minutes are there between 10:49 AM and 4:13 PM?
324
What is 462 minutes after 2:48 PM?
10:30 PM
What is 576 minutes after 12:40 PM?
10:16 PM
How many minutes are there between 10:10 AM and 11:46 AM?
96
How many minutes are there between 3:21 AM and 9:49 AM?
388
What is 528 minutes after 11:23 AM?
8:11 PM
What is 591 minutes after 6:21 PM?
4:12 AM
What is 423 minutes after 2:46 AM?
9:49 AM
How many minutes are there between 10:54 AM and 11:50 AM?
56
How many minutes are there between 11:16 AM and 2:31 PM?
195
How many minutes are there between 3:01 PM and 4:00 PM?
59
How many minutes are there between 7:46 PM and 9:36 PM?
110
How many minutes are there between 6:41 PM and 11:58 PM?
317
What is 432 minutes after 4:30 AM?
11:42 AM
What is 235 minutes after 2:57 AM?
6:52 AM
What is 597 minutes before 8:04 PM?
10:07 AM
What is 505 minutes after 2:34 PM?
10:59 PM
What is 98 minutes before 6:59 PM?
5:21 PM
What is 616 minutes after 3:13 AM?
1:29 PM
What is 547 minutes before 12:31 AM?
3:24 PM
How many minutes are there between 1:48 PM and 4:13 PM?
145
What is 102 minutes after 7:20 AM?
9:02 AM
What is 406 minutes after 12:11 PM?
6:57 PM
How many minutes are there between 7:40 AM and 9:37 AM?
117
What is 186 minutes before 1:03 PM?
9:57 AM
How many minutes are there between 10:16 PM and 8:52 AM?
636
How many minutes are there between 7:41 PM and 3:27 AM?
466
What is 20 minutes before 2:21 AM?
2:01 AM
How man | {
"pile_set_name": "DM Mathematics"
} |
is the highest common divisor of h and o?
11
Let m(a) = -104*a**3 - a. Suppose 13 = -3*h - 2*j, 3*h - 5*h - 14 = -4*j. Let i = h - -4. Let f be m(i). What is the highest common divisor of f and 21?
21
Let g(u) = 2*u**2 - 7*u - 15. Let b be g(-3). Let l = b - -97. Calculate the highest common divisor of l and 11.
11
Let t = -5 - -71. Suppose 6*d = t + 204. Let q(r) = r**3 - 8*r**2 + 9*r + 4. Let b be q(7). Calculate the greatest common factor of b and d.
9
Let b(n) = 4*n + 2. Let s be b(4). Let m = s + -13. Suppose 3*o - 4*a - 28 = 0, -a - a = -m*o + 70. Calculate the highest common factor of o and 64.
16
Let m(o) = -o**3 + 11*o**2 - 2*o. Let z be m(6). Suppose r = -4*d - 3*r + 100, 2*d - 4*r = 26. Calculate the highest common factor of d and z.
21
Let b be (-18)/(-16)*6 + (-10)/(-40). Suppose 2*v - 2 = 0, -2*v = 5*t - 5*v - b. Calculate the highest common divisor of 1 and t.
1
Suppose 0 = -6*x + 11*x - 110. Suppose 5*k + 16 = 13*k. Calculate the highest common factor of k and x.
2
Let k(f) = -f**3 - 58*f**2 + 55*f - 204. Let u be k(-59). Calculate the highest common factor of 72 and u.
8
Suppose -4*q - 18 = -q. Let g(o) = 4*o + 30. Let v be g(q). What is the highest common divisor of v and 66?
6
Suppose l + 5*n - 10 = -31, 0 = 3*l - 4*n + 120. Let u be (-300)/l - (-1)/(-3). Suppose 5*c = 8 + 12. Calculate the highest common factor of u and c.
4
Suppose -w + 4*j = 3*w - 40, 5*j + 5 = 0. What is the highest common divisor of w and 225?
9
Let w be (-92)/28 + (-4)/(-14). Let k(r) = -6*r - 2. Let t be k(w). Let p be (-64)/(-24)*(-9)/(-6) + 0. What is the highest common divisor of t and p?
4
Suppose 50*h - 2915 = 685. Calculate the greatest common divisor of 135 and h.
9
Let w = -174 - -192. What is the greatest common divisor of 63 and w?
9
Let g be (-2296)/(-52) - (-1 - (-30)/26). What is the greatest common divisor of g and 11?
11
Let h = -258 - -307. Calculate the greatest common factor of h and 14.
7
Suppose 0 = -491*b + 484*b + 3948. Calculate the greatest common factor of b and 132.
12
Let i(d) = -3*d**2 + 74*d - 97. Let f be i(22). What is the greatest common divisor of 158 and f?
79
Let c = 1 + 23. Let b = 21 + 195. Calculate the greatest common factor of c and b.
24
Suppose -14*c + 15 = -19*c. Let k be (-8 - -18)*c/(-5). Let m be (-14)/35 - 32/(-5). What is the greatest common factor of k and m?
6
Let g = -257 - -261. Calculate the highest common divisor of g and 132.
4
Suppose -2*f + 4 = -z, 4*z - 4*f = -0*f. Suppose -15*c + 2133 = -357. Let k = -150 + c. Calculate the highest common factor of k and z.
4
Let n(r) = -r**2 - 1. Let k(s) = -61*s**2 + s + 5. Let f(t) = k(t) + 3*n(t). Let b be f(-1). Let j = b + 93. Calculate the greatest common factor of 75 and j.
15
Suppose -2*s = 2*x - 51 - 23, x - s = 35. Let q be 35/3 + 3/9. What is the highest common factor of q and x?
12
Let q be (-125 - -115)/((-4)/6). What is the highest common factor of 84 and q?
3
Let j be -3 + (1 - -3) + -2 + 89. Let x = j + -77. What is the highest common divisor of x and 209?
11
Let m(h) = 3*h**2 + 202. Let x be m(0). Calculate the highest common divisor of 2 and x.
2
Let j be 38 + (-4 - (-2)/2). Let a be j - (8/2)/(-2). Calculate the highest common divisor of a and 407.
37
Let f = 4 - -11. Let k = 44 - 37. Suppose -z + k = 4. Calculate the highest common divisor of z and f.
3
Suppose 0 = -2*v + 15 + 5. Let q(l) = -l**2 + 5*l + 4. Let o be q(5). Let b be o*-2*(-15)/v. What is the greatest common factor of 6 and b?
6
Let r(b) = -5*b - 24. Let p be r(-9). Let i = p + -2. Calculate the greatest common divisor of 209 and i.
19
Let d(x) = x**3 - 4*x**2 + 4*x - 37. Let z be d(7). What is the highest common divisor of 12 and z?
6
Let z(h) = -h**2 + 3*h - 6. Let g(w) = 2*w**2 - 4*w + 5. Let p(u) = 2*g(u) + 3*z(u). Let o be p(4). Calculate the highest common divisor of 8 and o.
4
Let d = -8 - -13. Suppose -d*h + 48 = -2*h. Suppose -2*r - 2*g + h = 0, -3*r - 2*r + 40 = -4*g. What is the highest common factor of r and 12?
4
Suppose -5*m + 120 = -5*f, 4*m - f = -0*m + 96. Let n = m + 66. Suppose -4*j = -3*j - n. What is the highest common divisor of j and 9?
9
Let b = 23 + -15. Let m = b - 5. Let u = -9 - -12. Calculate the highest common divisor of m and u.
3
Let y(q) = 4*q - 40. Let k be y(15). What is the greatest common divisor of 170 and k?
10
Let s(k) = -k**2 + 6*k + 66. Let o be s(9). What is the greatest common divisor of o and 6?
3
Let p(j) = -j**2 - 13*j + 2. Let g be p(-11). Suppose -3*a = -3*k + k - 566, 0 = -4*a + 4*k + 748. Calculate the highest common factor of a and g.
24
Suppose 140 = v + 3*v. What is the highest common factor of v and 175?
35
Let l(u) = -6 + u**2 + 32*u**3 + 7 + u - 41*u**3. Let f be l(-2). What is the greatest common factor of f and 50?
25
Suppose -2*z - 20 = -4*z. Let y be z + 2 - 4/1. What is the highest common divisor of y and 1?
1
Suppose -32*p + 3777 - 1409 = 0. Calculate the greatest common factor of 333 and p.
37
Let r = 2 + 0. Suppose 3*f + r*f - 10 = 0. Suppose -3*q + f*b + 17 = -3, 4*q + b = 34. What is the highest common factor of q and 2?
2
Let a = -1039 - -1591. Suppose -c + 7*d + 175 = 11*d, 3*d - a = -3*c. Calculate the highest common divisor of c and 17.
17
Let q be 168 + (-35)/5*-1. Calculate the greatest common divisor of q and 25.
25
Let l(a) = -15*a**3 - 4*a**2 - 2*a - 1. Let x be l(-3). Suppose -670 = -9*r + 860. Suppose 4*i = -i + r. What is the greatest common factor of x and i?
34
Let u(z) = 69*z**2 + 259*z + 11. Let a be u(-5). Calculate the greatest common factor of a and 18.
9
Suppose 29*w - 2241 = 25019. What is the greatest common divisor of 60 and w?
20
Suppose 3*n = 3*o + 219, -4*n + 374 = -2*o + 92. Suppose -f = 3*f - n. Suppose f + 7 = y. Calculate the greatest common divisor of y and 96.
24
Suppose -3*l = 3*s - 270, 175 = 2*l - 0*s + s. Suppose 13*u = 101 + 211. Let w be 3 - (-221)/7 - u/42. Calculate the highest common factor of w and l.
17
Let u(j) = -17*j + 75. Let w be u(-8). Suppose -17*m = -925 + w. Calculate the highest common factor of m and 14.
14
Let j = 33 + -38. Let f(s) = s**2 + s + 1. Let l be f(j). Calculate the greatest common factor of l and 42.
21
Suppose 50*j - 16520 = 36*j. What is the highest common divisor of j and 20?
20
Let o(w) = 2*w**3 + 5*w**2 + 10*w + 17. Let m be o(-2). What is the highest common divisor of m and 71?
1
Let q = -822 + 1206. What is the greatest common factor of 12 and q?
12
Suppose 0 = -6*z + 1 + 17. Suppose -10 = -4*q + 10. Let c = z + q. Calculate the greatest common factor of c and 72.
8
Suppose 0 = 2*b - 4*c - 44, 3*b = -0*b - 2*c + 98. Calculate the greatest common divisor of b and 825.
15
Let z = 101 + -65. Calculate the highest common divisor of 288 and z.
36
Suppose 678 = -2*p + 4*s + 1870, -3*s + 1797 = 3*p. Calculate the highest common factor of 26 and p.
26
Suppose 0 = -8*o + 1094 + 578. What is the greatest common factor of o and 38?
19
Let d(t) be the third derivative of 7*t**4/24 + 10*t**3/3 - 8*t**2. Let f be d(4). What is the greatest common divisor of f and 192?
48
Let s be 14162/14 + (-297)/(-693). Calculate the highest common factor of s and 184.
92
Let f = 675 + -648. Calculate the greatest common divisor of 171 and f.
9
Let h(s) = -s**2 + 11*s + 17. Let d be h(12). Let g = -5 - d. Let c be ((-20)/(-6))/(g/(-75)). Calculate the highest common divisor of 175 and c.
25
Let o be 18*(0 - (-6 + -2)). What is the highest common divisor of o and 96?
48
Let k(u) = -19*u - 3. Let l be k(-6). Let b be (-7)/42 - l/(-18). Calculate the greatest common factor of b and 30.
6
Let j = 23 + -3. Let p be 1*23 + (6 - -10) + -9. What is the greatest common factor of j and p?
10
Let i = -683 + 827. Calculate the greatest common divisor of 192 and i.
48
Suppose -3*q + 33 = s - 33, 27 = q + 2*s. Calculate the greatest common divisor of 861 and q.
21
Suppose b - 9 = 2*m, 0 = -4*m - 8. Suppose b*f + d + 22 - 73 = 0, 2*f - 3*d - 34 = 0. Calculate the greatest common divisor of 44 and f.
11
Let s(o) = 10*o - 79. Let f be s(8). Let u be f*(3 - -1 - -5 - -4). Suppose a - 1 + 17 = l, 3*l = -a + 36. What is the highest common divisor of u and l?
13
Let n be 1/(((-33)/(-456))/11 - 0). Calculate the greatest common factor of n and 2.
2
Let v be (1 + 3/(-5))/(2/320). Let | {
"pile_set_name": "DM Mathematics"
} |
23
Let r be (4/8)/(1/10). Suppose 5 = r*n - 10. List the prime factors of n - (-12 + 3) - 3.
3
Let s(f) = -f + 22. Suppose -o + 48 = -6*o - x, -4*x + 6 = -2*o. Let l = o - -18. List the prime factors of s(l).
13
Suppose -4*o + 107 = 27. Suppose 2*a = -2*a + 4*q - o, 4*a + 2*q = -38. List the prime factors of (-38)/a + 9/(-12).
2
List the prime factors of 4 + -2 + 17*5.
3, 29
Suppose -2*d = -4*d + 22. What are the prime factors of d?
11
Let m be 3*6/(-9)*4. Let r be (4/m)/(2/16). What are the prime factors of -2*3/r*2?
3
What are the prime factors of (5 - (-2)/(-1))*(62 - -1)?
3, 7
List the prime factors of (1*-26 - 3)*-2.
2, 29
Let p(k) = k**2 + k - 3. Let s be p(0). Let h(t) = -t - 1. List the prime factors of h(s).
2
Suppose 3*u - 237 + 6 = 0. What are the prime factors of u?
7, 11
Let d = -5 + 10. Let j(q) = q**3 - 5*q**2 + 6*q - 7. What are the prime factors of j(d)?
23
Let o be 4/2 + (1 - 1). Let f = 4 - 4. Suppose f = o*m + 2*p - 6, -5*m + 3*m + 5*p + 34 = 0. List the prime factors of m.
7
Suppose -3*t + 2*g = 7*g - 74, -5*g = -5. Let i = -16 + t. Suppose r - 2*l - 12 = -i*l, 3*l = 2*r + 2. What are the prime factors of r?
2
Suppose 0 = 4*x - 23 - 133. List the prime factors of x.
3, 13
Let u(z) = z**2 - 6*z + 4. Let p be u(6). Suppose 4*r - 25 = 5*i, -5*r = p*i - 0*i - 21. List the prime factors of r.
5
Let n = -236 - -145. Let s = 141 + n. What are the prime factors of s?
2, 5
Let j = 85 + -61. List the prime factors of j.
2, 3
Suppose -5*o + 616 = x, 3*o - 2*x + 0*x = 367. Suppose 5*c = 132 + o. List the prime factors of c.
3, 17
Let d = 57 + -9. Suppose -2*v = -d - 40. What are the prime factors of v?
2, 11
Suppose -5730 = 14*k - 29*k. What are the prime factors of k?
2, 191
Let a = 40 + 3. List the prime factors of a.
43
Suppose -4*i + 2*i + 2 = 0. Suppose 4*l + 11 + i = 2*f, -l - 2*f - 3 = 0. Let w(j) = j**3 + 2*j**2 - 5*j - 3. What are the prime factors of w(l)?
3
Let q = -7 - -1. Let a(z) = z + 14. What are the prime factors of a(q)?
2
Let x(i) be the first derivative of i**3/3 - 2*i**2 + 3*i + 1. Let o be x(-4). Suppose o = 5*w - 3*s - 34, -s = -2*w + 27. What are the prime factors of w?
2, 3
Suppose 27 - 2 = 5*l. Suppose 5*g - 172 = -4*a, -112 - 84 = -4*a + g. Suppose l*p = -5 + 30, -4*p = 2*m - a. List the prime factors of m.
2, 7
Suppose -3*w + 2*d + 10 = 0, 4*w - 2*d - 4 = -4*d. Suppose -3*t + w*b = -15, -t + 3*b - 7 + 19 = 0. What are the prime factors of t?
3
Suppose 4*s - 4*q - 188 = 0, 0*q + 3*q - 123 = -3*s. What are the prime factors of s?
2, 11
Let k = 48 - 17. List the prime factors of k.
31
Let x be 2 + (-1 - (-30)/3). Let q be x + -1 - (0 + 0). List the prime factors of (0 - 1) + 1 + q.
2, 5
Let m = -5 - -9. Let g = m - 6. Let l = g + 10. What are the prime factors of l?
2
Let c = 19 + -3. List the prime factors of c.
2
Let x(h) = -12*h**2 - h. Let z be x(-2). Let k = -7 - z. What are the prime factors of k?
3, 13
List the prime factors of -38*(-1)/((-8)/(-12)).
3, 19
Let n be -8 + (-4)/((-8)/6). Let p be (-9)/n + 4/20. List the prime factors of 3 + (6/3)/p.
2
Let n(f) = 33*f + 1. Let a be n(1). Let u = -19 + a. What are the prime factors of (-16)/20*u/(-2)?
2, 3
Let s = -12 + 17. Suppose 28 = s*p - p. List the prime factors of p.
7
Suppose 4*q + q - 75 = 0. List the prime factors of q.
3, 5
List the prime factors of -6 - -5 - 55/(-1).
2, 3
Let q(t) = -29*t**3. What are the prime factors of q(-1)?
29
Suppose 3*l = 10 + 2. Suppose -4*i + 32 = l*p - 0*i, -2*p + 5*i + 2 = 0. What are the prime factors of p?
2, 3
Suppose -11*y + 3*i + 565 = -7*y, i = 3*y - 425. List the prime factors of y.
2, 71
Suppose -4*z + 2*k - 4*k = 14, 0 = z - 4*k - 10. Suppose -3*q + 3*c + 39 = 0, 2*c = -3*q - 0*c + 14. Let n = q + z. List the prime factors of n.
2, 3
Suppose -219 = -4*t - 0*t - 5*l, 0 = 4*t - 4*l - 192. List the prime factors of t.
3, 17
Suppose 0 = 5*u - 23 + 3. Let b = 27 - u. List the prime factors of b.
23
Suppose -a = -0*a - 38. List the prime factors of a.
2, 19
Let f(y) = -y**3 - 4*y**2 - 5*y + 7. What are the prime factors of f(-5)?
3, 19
Suppose 3*g = -0*g. Let u be g/((-2 - -5)/(-3)). Suppose 5*i + u*i = 45. List the prime factors of i.
3
Let t(v) = v - 58*v**2 - v + 63*v**2. What are the prime factors of t(2)?
2, 5
Let n(c) = -9*c + 1. Let v(q) = 5*q + 2. Let a be v(-1). List the prime factors of n(a).
2, 7
List the prime factors of (10 - -2)*(-4)/(-12).
2
Let h(o) = -10*o**2 + 13*o. Let r(g) = 5*g**2 - 7*g. Let v(q) = -3*h(q) - 5*r(q). List the prime factors of v(3).
3, 11
Suppose -4*n + 39 = -109. List the prime factors of n.
37
Suppose 13 + 7 = 2*x. What are the prime factors of x?
2, 5
Let m be 1 - 7/((-21)/6). Let u = m - -13. List the prime factors of u.
2
Let y(x) = 6*x - 1. What are the prime factors of y(5)?
29
Let v = 7 - 5. Suppose v*z - 65 = -3*z. What are the prime factors of z?
13
Let w(q) = q**3 + 2*q**2 + 3*q + 2. Let k be 0 - (4 - (0 + 2)). Let l be w(k). Let h = l - -14. What are the prime factors of h?
2, 5
Suppose 2*w - 58 = 12. Let v = w - 24. List the prime factors of v.
11
Suppose 0 = -3*t + t + 6. Suppose -t*o + 7 = -5*u - 25, -2*o + 22 = -3*u. What are the prime factors of o?
2, 7
Suppose 4*b = 4, b - 107 = -5*d - b. Suppose 5*v = -4*g + 17 + 17, 3*g - d = -3*v. Suppose -5*k + 2*l = -33, k - 2 = -l + v. List the prime factors of k.
7
Suppose 19 - 7 = 4*x. Let m(u) = 1 - 5*u + 2*u - x + 5. List the prime factors of m(-4).
3, 5
Suppose 5*i - 191 = -3*f, f - i + 266 = 5*f. What are the prime factors of f?
67
Let d = -53 - -81. List the prime factors of d.
2, 7
Let j(m) = -m**3 + 14*m**2 - 7*m - 22. List the prime factors of j(11).
2, 3, 11
Suppose 0 = -0*i + i - 4*t + 8, 5*i + 4*t - 32 = 0. Suppose -77 = -i*q - 29. What are the prime factors of q?
2, 3
Let b(a) = a + 9. Let t be b(-10). Let d = t + 3. List the prime factors of d.
2
Let h be (-5 - 8/(-2)) + -25. Let m = h - -61. List the prime factors of m.
5, 7
Let o = 15 + 13. List the prime factors of o.
2, 7
Suppose 0 = -9*i + 4*i. Suppose i = 2*k + 3*k + 20. Let n = k + 11. List the prime factors of n.
7
Suppose -42 = -3*d + j, -2*d - 2*d + j = -55. What are the prime factors of d?
13
Suppose -132 = -5*d + l, 5 - 2 = l. What are the prime factors of d?
3
Suppose m + 117 = 4*t, -5*t + 3*t + 66 = 2*m. List the prime factors of t.
2, 3, 5
Let u = 0 + -3. Let t(o) = -o**3 + o**2 + 2. Let z be t(0). What are the prime factors of 4/3 - z/u?
2
Suppose 0 = -r + 67 + 65. What are the prime factors of r?
2, 3, 11
Suppose -2*b + 3*a = -0 + 143, 2*a = 10. Let j = b - -105. Suppose 0 = t - 4*z - 7, -j = 3*t - 7*t + 3*z. List the prime factors of t.
11
Suppose -f + 720 = 4*f + 2*t, -144 = -f + 2*t. What are the prime factors of f?
2, 3
Let h be (0 + -9)*6/(-9). Suppose h*k - 20 = k, -5*j = -4*k - 29. What are the prime factors of j?
3
List the prime factors of (-2 + 6)*(-2)/(-4).
2
Let y(z) = -10*z**3 + 1. What are the prime factors of y(-1)?
11
List the prime factors of (-645)/(-20)*(-16)/(-6)*2.
2, 43
Suppose 2*i - 4*n = -2*i - 12, 2*n = 5*i + 12. Let k be i - (-2 + -1 + 5). Let x(l) = -l**2 - 6*l - 5. List the prime factors of x(k).
3
Let i = 57 + -25. What are the prime factors of i?
2
Let y(x) = x + 3. Let u be y(4). Suppose -5*k + 8 = -u. Suppose k*c + 66 = 4*i - 0*i, -c - 70 = -4*i. List the prime factors of i.
2, 3
Let r be (-2)/(-3 + 1)*47. Suppose -3*g - y = -3 - r, -2*y = 5*g - 84. What are the prime factors of g?
2
Let a(j) = j**2 + 5*j - 5. List the prime factors of a(10).
5, 29
Let a = 652 - 331. What are the prime factors of a?
3, 107
Let a(i) = i**3 + 4*i**2 - 6*i + 2. Let k be a(-5). Let j(m) = -m + 19. Let f be j(0). Suppose -k = b - f. What are the prime factors of b?
2, 3
Let o(s) = 6*s. List the prime factors of o(5).
2, 3, 5
Suppose -v = -5*g - 12, v - 3 + 1 = -5*g. Let q be 2/(-7) + (-40)/v. What are the prime factors of (q/4)/((-1)/6)?
3
Let j = 208 + -93. What are the prime factors of j?
5, 23
Let c(z) = -2. Let a(w) = -2*w - 20. Let r(x) = x**2 + 5*x + 6. Let j be r(-4). Let q(v) = j*a(v) - 22*c(v). What are the prime factors of q(-4)?
2, 5
Let k(w) = -w**3 + 13*w**2 + 15*w - 4. What are the prime factors of k(14)?
2, 5
Suppose 3*f + y + 2*y = 48, 32 = 2*f - 2*y. What are the prime factors of f?
2
Let x = 44 + -24. What ar | {
"pile_set_name": "DM Mathematics"
} |
t l be -4*15/6*106/(-4). Let j = -1069/4 + l. Which is the third smallest value? (a) -0.3 (b) j (c) f
a
Let l = 25.1 + -25.5. Which is the fourth biggest value? (a) -2/7 (b) 0.045 (c) -3 (d) l
c
Let h = 1001 - 1003. What is the fourth smallest value in 5, 1, 0.3, h, 8?
5
Suppose 13*f - 30 = 11*f. Suppose 0*q - f*q = -75. Let y = -116 + 352/3. Which is the fourth biggest value? (a) y (b) -1 (c) 0.5 (d) q
b
Let j = 10 - 11. Let g(s) = s**3 - 37*s**2 + 51*s + 668. Let l be g(35). Let i = -17 + 10. What is the second biggest value in l, i, j?
j
Let y = 5.3 + -5. Let s be (2/(-30) - (-16 + 2908/180))*-18. Which is the second smallest value? (a) -0.022 (b) s (c) y
c
Let i(m) = m - 7. Let g be i(5). Let x = 29 - 57/2. Let w = 5.441 + -10.441. Which is the second smallest value? (a) w (b) g (c) x
b
Let i = -0.2 + 0.6. Let t be (-87)/(-144) + (-15 - -12). Let j = -31/12 - t. Which is the second biggest value? (a) 5 (b) i (c) j
b
Let k = 37.53 - 37.23. Which is the third biggest value? (a) k (b) 2/3 (c) 8 (d) -2
a
Let p = -33 - -33.2. Let v be ((-61)/(-122))/((-9)/4). Which is the third smallest value? (a) v (b) p (c) -25 (d) -0.1
d
Let p = -81 - -81.5. Let t = 7.88 - 7.68. Let y = 0.06 - 7.06. Which is the third biggest value? (a) t (b) p (c) y (d) -1/4
d
Let u = -61 + 30. Let z be -3 + (-2*34)/(u + 8). Let v = z - 41/115. Which is the second smallest value? (a) -4 (b) 6/11 (c) v (d) 1/4
c
Let q be -3 - (-2*2/26 + (-87 - -84)). Which is the third biggest value? (a) q (b) -2 (c) -58/7
c
Suppose -42*j + 6 = -39*j. Let u = 163 - 167. Which is the third biggest value? (a) j (b) u (c) 16 (d) 0
d
Let d = -25.057 + 0.057. Let x = d - -29. Let p be 6/(-45) - (-456)/2070. Which is the biggest value? (a) x (b) p (c) -1/2
a
Let n(f) = -f**3 - 24*f**2 + 82*f + 23. Let l be n(-27). Let v be (-5)/((-200)/16)*(-5)/l. Which is the biggest value? (a) 11/3 (b) -0.4 (c) v
a
Suppose 0*k - 3*k + 18 = 0. Let g = -10 + k. Let u = -0.11 + 0.01. Which is the second biggest value? (a) u (b) 0.2 (c) g (d) -2/5
a
Let m be 0 + (-42)/6 + 7 + -2 + 0. Which is the second biggest value? (a) -3 (b) -0.4 (c) -5 (d) -345 (e) m
e
Let x = 0.04616 - -0.02884. Which is the fifth smallest value? (a) 5 (b) 0.5 (c) 2/11 (d) x (e) 3
a
Let d = -0.00101 - -5.00101. What is the fifth smallest value in 0.3, 0, d, -6/7, -4?
d
Let p = -10798 + 10808. Which is the third biggest value? (a) p (b) 53 (c) 5
c
Let a = 0.696 - -564.304. Let f = a - 564.9. Let j = 0.06 - 0.1. What is the fourth biggest value in 3, 2/5, f, j?
j
Let m = 7904.11 + -7904. Which is the third smallest value? (a) -5 (b) -0.18 (c) m
c
Let v = -3.1 + 5.1. Let h be (-4)/(-14) + (-1408)/(-168) + 6. Let i = h - 14. Which is the second biggest value? (a) v (b) 0.06 (c) i
c
Let g = 400.62 - 631.9. Let d = g + 231. Which is the biggest value? (a) -0.3 (b) d (c) -2
b
Let u = 5.417 + 9.583. What is the second biggest value in 7, -0.04, u?
7
Let y = -6805 + 6800. Which is the second smallest value? (a) -25/47 (b) -0.3 (c) y
a
Let g be (-96)/448*(-12)/(-9). Let w = -4 + 2.4. Let y = w - -1.9. What is the fourth smallest value in -5, -4/3, g, y?
y
Let u be 50/(((-8 - -1) + 5)*1). What is the smallest value in 13, -1/3, 0.1, u?
u
Suppose -3*i + 1251 = 495. Let g be (-25)/(-68) + (-63)/i. What is the third smallest value in g, 2, 6?
6
Let s = 0.045 - -252.955. Let k = s + -223. What is the third smallest value in 1, 5, k, -1?
5
Let s = -1811.4 + 1819.4. What is the third biggest value in s, 105, -3?
-3
Let k = -24.5962 - 0.3038. What is the second biggest value in 2, 0.1, k?
0.1
Let q = 5/2 - 4. Let m be 636/(-120)*10/(-42). Let n = 1/14 + m. What is the second smallest value in q, n, -1, -2?
q
Let i(n) = 122*n - 4. Let x be i(-3). Let b be (95/(-125) + 1)/(2/x). Let r = b + 44. What is the second biggest value in -2/3, 2, r?
r
Let g = 2 - 7. Let x = 424 - 404.3. Let k = 20.2 - x. What is the smallest value in -2, 3/7, k, g?
g
Let i = -5222 - -5221.9. What is the second biggest value in i, -30/17, 5/2?
i
Let k = -0.022 - -0.477. Let b = 0.055 - k. Let a be 28/(-8) + (-6)/4. What is the second biggest value in b, -4, a?
-4
Let w = 15 + -89/6. Let i = 315.4 - 256. Let x = i - 58.9. Which is the biggest value? (a) 2/7 (b) x (c) w (d) -3
b
Let h = 126.07738 + -0.07738. What is the fourth biggest value in 4, -5, 0.04, 1, h?
0.04
Let l = 1266 - 1298. Which is the biggest value? (a) -0.05 (b) -5 (c) l (d) 1/6
d
Let w be 15/165 - 1/11. Suppose -3*u = 3*m - 6, w = -m - 3*m - u + 11. Which is the second smallest value? (a) 1 (b) -4 (c) m (d) -2
d
Let y be 182/28 - ((-108)/(-24) + -3). Let v = -17.4 + 15. Let g = -0.6 + v. Which is the third smallest value? (a) y (b) 0 (c) g
a
Let v = 40763/7 - 5823. Let o = 8 - 13. Which is the smallest value? (a) 14 (b) v (c) o
c
Let q be 10*(12/8*(-21)/(-9) + -4). Which is the fourth smallest value? (a) -1 (b) -1.3 (c) 0.09 (d) q
c
Suppose 0 = -3*p + 2*o - 7, -p = o - 29 + 23. What is the second biggest value in p, -5, 1.6, 0.4?
p
Let j be (((-12)/5)/2)/(860/100). Let p be ((-3)/(-4))/((-6)/4). Which is the smallest value? (a) j (b) -5 (c) -4 (d) p
b
Let h = -29468 - -29464. What is the fourth smallest value in -2/13, h, 2, 0.02, -2?
0.02
Let q = -323.2 - -350. Let d = q - 33.8. What is the third smallest value in -2/13, -2/7, d?
-2/13
Let m = 140 + -147. Let f be 7 + m/14*14. What is the second biggest value in f, 2, 6.3?
2
Let z be -2*-1*1/(-2). Let g = -10.25 + 8.25. Which is the biggest value? (a) -0.4 (b) g (c) -0.1 (d) z
c
Let d be (-4)/(-18) + (-943)/720. Let r = -18/55 + -317/880. Let z = d - r. Which is the second biggest value? (a) z (b) 2/9 (c) -2
a
Suppose 0 = 2*j - 5*m + 2, 3*j + 5*m - 9*m = 4. Let q = 1.3 - 0.6. What is the second biggest value in -4, q, -0.1, j?
q
Let c = -4.6 - -53.6. Let f = 54 - c. What is the second biggest value in 13, f, -2/5, -0.1?
f
Let d = 119 + -166. Suppose 0 = 16*t - 86 - 698. Let h = t + d. What is the biggest value in h, 5, -0.2?
5
Let k = 0.054 - -359.946. Let p = k - 361.47. Let i = -0.53 + p. Which is the smallest value? (a) i (b) 0 (c) -3 (d) 0.5
c
Suppose -k + 2*p - 218 = 0, 4*p + p - 439 = 2*k. Let i = 1486/7 + k. What is the third biggest value in 0.2, i, 1/3?
0.2
Let l be (-307)/921*(-12)/(-10). What is the second smallest value in 0.4, -12/23, l, -3?
-12/23
Let p = 0.1 + 0.4. Suppose -4*u + 86 = 2*i - 282, 182 = i + u. Let l be 16/i*20 + -2. Which is the biggest value? (a) -1/8 (b) p (c) -5 (d) l
b
Suppose -21*o = -23*o + 2, t - 20 = 5*o. Let c = 31 - 61/2. What is the third biggest value in 2/19, t, c?
2/19
Suppose 0 = 140*i - 132*i - 16. Suppose -i*f - 1 = 7, -2*f + 7 = 3*x. What is the second biggest value in -0.3, -2/27, x?
-2/27
Suppose 48*o - 33 = 111. Let f(w) = w**3 + 5*w**2 - 9*w - 9. Let g be f(-6). Let m be (6/(-9))/(2/g). Which is the smallest value? (a) -2 (b) 4 (c) o (d) m
d
Let j = 228.01 - 227.91. Which is the fourth biggest value? (a) 16 (b) 31/3 (c) 1/6 (d) j (e) -0.2
d
Let l = 96.38 + -97.38. What is the third biggest value in l, -2/3, -1/227?
l
Let g = 415 + -5393/13. Let s = -6 - 2. Let z = -7.5 - s. What is the biggest value in z, 4, g?
4
Suppose 0 = 5*d - d + 16. Let n be d*(-3)/(-48) + 0. What is the second smallest value in n, 0.5, 1/4, -0.1?
-0.1
Let p(k) = -36*k. Let l be p(5). Let q be 30/l + 22/(-12). Let x be 5/17*(4/(-5))/2. Which is the third biggest value? (a) x (b) 0.4 (c) q (d) -0.3
d
Let y(t) = -63*t - 310. Let k be y(-5). What is the third biggest value in -3, k, 164, 0.5?
0.5
Let o = -0.2 + 3.2. Let m be -223 + 185 + -29*1. What is the biggest value in 0, o, m?
o
Let f = -14.89 - -15.29. Which is the third smallest value? (a) 0.48 (b) -6 (c) f
a
Suppose 12*v = -m + 11*v, 4*m - 5*v + 9 = 0. Let g be 5 + -6 + 24/(-42) + 1. Which is the biggest value? (a) g (b) m (c) -2
a
Let u = -2.4 - -1.9. Let g = -2.43 + -0.28. Let b = g + -1.29. What is the biggest value in 5/3, -1/4, b, u?
5/3
Let r = 149 + 98. Let y = r + -259. What is the third smallest value in -5, y, -0.5?
-0.5
Let k = 0.341 + -1.341. Let s = 25 - 43. Let o = s + 19. Which is the second smallest value? (a) 2 (b) o (c) 2/11 (d) k
| {
"pile_set_name": "DM Mathematics"
} |
he prime factors of 2 - ((-6)/(-4))/(42/(-89880))?
2, 11, 73
Let h(p) = -2*p + 1. Let m be h(5). Let t(s) be the first derivative of -s**3/3 - 9*s**2/2 + 3*s - 4. What are the prime factors of t(m)?
3
Let a = 22 - 53. Let t = -21 - a. What are the prime factors of t?
2, 5
Let b(k) = k + 1. Let h be b(-4). Let v(t) = -38*t - 15. List the prime factors of v(h).
3, 11
Let n be 8/(-10) + (-52)/10. Let v(z) = -z**2 - z + 11. Let b be v(n). Let d(h) = -h**2 - 21*h + 4. What are the prime factors of d(b)?
2, 3, 7
Let c(q) = -q**2 - 16*q - 8. Suppose 0 = 3*u - 3*i - 11 + 68, 0 = -5*i + 25. List the prime factors of c(u).
2, 5
Let n = 734 - 415. What are the prime factors of n?
11, 29
Let x(d) = -3*d + 0*d + 0*d + 2*d. Let h be x(-6). List the prime factors of 4*7 + (h - 5).
29
Let x be (0 + 3)*5/3. Let o be (0 + -4)*1711/(-116). Suppose 0 = a + 2 - x, m = a + o. List the prime factors of m.
2, 31
Suppose 8*c = -u + 3*c + 22, 3*u + 2*c - 79 = 0. Let f = 90 + -72. Suppose -v = -t + 4*v + f, -4*v = -5*t + u. List the prime factors of t.
3
Let k(q) = q**2 - 8*q + 3. Let y be k(8). Let s be 106 + y/(-6)*-6. What are the prime factors of s/4 - (-4)/(-16)?
3
Suppose 646 = 3*x - 2*g, -g - 833 = -4*x + 30. Let u = x + -43. List the prime factors of u.
173
Let q(m) = m**2 - 2. Let g be q(5). Let a be (12/(-18))/(8/48). Let z = g - a. List the prime factors of z.
3
Let w be ((-1)/(-3))/(5/(-6) - -1). Suppose w*y + 4*y - 1020 = 0. What are the prime factors of y?
2, 5, 17
Suppose 5*i - 4*h = 228, -4*h + 59 = i + 23. Let v = i - 37. List the prime factors of v.
7
Let v(m) = m**3 + 37*m**2 + 24*m - 39. What are the prime factors of v(-36)?
3, 131
Let z(h) = 6*h**2 + 5 + 6*h + 3*h**2 - 7 - h**2. Let f be z(4). Suppose 2*j - j - 2*t = 39, -f = -4*j + 5*t. List the prime factors of j.
5, 7
Let z(v) = -v**2 - 9*v + 13. Let i be z(-10). Let x = i + -8. List the prime factors of 2/6*x*-15.
5
Let l(r) = 18*r - 5. Suppose -8 + 2 = -2*y. Let m be (-1)/y*-9 + -1. List the prime factors of l(m).
31
Let d(j) = j**2 + 7*j + 6. Let z be d(-4). Let r be 9/(-12)*1*-24. Let w = z + r. What are the prime factors of w?
2, 3
Suppose -2*s + 202 = 4*x, 3*s = 4*x + x + 270. Let o = s + -37. What are the prime factors of o?
2, 29
Let o(r) = -3*r. Let b(f) = -4*f. Let p(a) = 4*b(a) - 5*o(a). Let j be p(-2). Let g = j + 1. List the prime factors of g.
3
Let q = 0 - -3. Suppose 0*v = -v - q*n + 30, 0 = -4*v - 4*n + 112. Suppose -119 = -4*w - v. What are the prime factors of w?
23
Let g(w) be the first derivative of 9*w**2 + 2*w + 30. Suppose 6*i = 2*i + 4. What are the prime factors of g(i)?
2, 5
Suppose 0 = -j - v + 421 + 37, 4*v = j - 478. List the prime factors of j.
2, 3, 7, 11
Let o be 2742*(-4 - (-10)/2). What are the prime factors of o/14 + (-6)/(-42)?
2, 7
What are the prime factors of 7/(7/(-11)) + 3258?
17, 191
Let n = 10 + -8. Suppose -n*l = 2*l - 12. List the prime factors of l.
3
Suppose 6*f = -4*a + 2*f + 464, 4*f + 126 = a. Suppose 0 = 5*i - 6*i + a. What are the prime factors of i?
2, 59
Suppose 6*o - 2*o = 0. List the prime factors of -4 + 309 - (o - 5).
2, 5, 31
Let f(t) = -t**2 + 18*t - 8. Let d be f(16). Suppose 3*s + 30 = 3*i - 0*i, -2*i = 2*s + d. Let m = 71 + s. What are the prime factors of m?
2, 3, 5
Let g = 6 - -5. What are the prime factors of g/(-22)*(1*-2 - 88)?
3, 5
Let j = 106 - 66. List the prime factors of 2 + j/2 + 3.
5
Suppose b + 0*b + 3*p + 6 = 0, -2*b + 23 = -p. List the prime factors of b/(-6) + (-201)/(-6).
2
List the prime factors of (7250/4)/(-5)*(-22 - -20).
5, 29
List the prime factors of 93 - (2/(-4) - 0)*-4.
7, 13
Let j be (2 + -1)/((-5)/(-25)). Suppose -f - 3*z + 55 = -2*z, 2*z = j*f - 240. List the prime factors of f.
2, 5
Let r = -18 + 1342. What are the prime factors of r?
2, 331
Let t(b) = b + 16. Let f be t(-6). Suppose a - 37 = f. Suppose 0 = 3*v - 4*v + a. List the prime factors of v.
47
Let s(t) = -67*t - 11. Let v be s(5). Let d = -208 - v. List the prime factors of d.
2, 3, 23
List the prime factors of ((-438)/(-4))/((-33)/(-286)).
13, 73
Let o = -18 + 23. Suppose o*s - 4*s = 0. Suppose 4*a + a - 325 = s. What are the prime factors of a?
5, 13
Suppose 2*u - 4036 = -u + 4*t, 3*t = -2*u + 2719. List the prime factors of u.
2, 13
Let t = -20 + 17. Let f be (t/12)/(4/(-32)). Suppose w = f*z - 2*w - 122, -z + 5*w + 75 = 0. List the prime factors of z.
5, 11
Let t(f) = -f**2 - 2*f - 1. Let l(s) = -s**3 - 8*s**2 - 6*s + 1. Let z(k) = l(k) - 4*t(k). Suppose 3*a + 9 + 6 = 0. List the prime factors of z(a).
2, 5
What are the prime factors of (447*10)/6 - (1 - -1)?
743
Suppose 7*w - 3*w - 12 = 0, -4*q = 4*w + 408. Let r = 168 + q. Suppose -10 = -5*v, 0 = 4*u - u + 3*v - r. What are the prime factors of u?
19
Let p(f) = -3*f**3 + 2*f**2 - 1. Let h be p(1). Let k(o) = -o + 1. Let w be k(h). Suppose w*y + 7 = 46. What are the prime factors of y?
13
Let i be (0 - 3 - -2) + -1. Let b be (-3 - -3)/(-3 - i). Suppose 2*f - 53 + 13 = b. List the prime factors of f.
2, 5
Let y be 26 - (-1)/(-1) - 0. Suppose 2*n = 73 - y. Let t = n - 7. What are the prime factors of t?
17
Let f(k) = -60*k + 51. List the prime factors of f(-1).
3, 37
Let s(y) = -37*y - 137. What are the prime factors of s(-5)?
2, 3
Let d be (14/(-24) - (-4)/16)*-885. Let o = -174 + d. List the prime factors of o.
11
Let u = -2092 + 3001. What are the prime factors of u?
3, 101
Let d(y) = y - 6. Let p be d(6). Suppose -4*l + 5*x = -72, 59 = 3*l - 4*x - x. Let u = p + l. What are the prime factors of u?
13
Suppose 15*q - 214 - 1541 = 0. Let l = q - 99. List the prime factors of l.
2, 3
List the prime factors of ((-10)/(-4) + -3)/((-1)/3142).
1571
Let a be (0 - 1)*(-18 + -483). Suppose -5*k + a = -s + 4*s, -s = 2*k - 201. What are the prime factors of k?
2, 3, 17
Suppose 0 = 20*i - 5 - 35. List the prime factors of i.
2
Suppose -7404 = -2*x - 2*q, -3*q + 5313 + 13199 = 5*x. List the prime factors of x.
7, 23
Let t = 57 - -13. Suppose 3*w - 5*c - t = 0, 4*c - c + 30 = w. What are the prime factors of w?
3, 5
Let g be (6/(-4))/(3/(-40)). Suppose 1 + 3 = 2*t + v, 0 = 3*t + 5*v - g. Suppose t = 2*x - 2*l - 10, -2*x + 5*l - l = 0. What are the prime factors of x?
2, 5
Suppose 29946 = 34*u - 11*u. What are the prime factors of u?
2, 3, 7, 31
Suppose 0 = -b + 2*o + 2*o + 10, -b = 3*o + 11. Let s = b - -6. Suppose -5*p = -2*k + 58, 3*k - s*p - 129 + 28 = 0. What are the prime factors of k?
3, 13
Let o(c) = 3*c - 38. Let v be o(14). Suppose 5*d = 2*k - 135, v*k + d - 259 = -0*d. List the prime factors of k.
5, 13
Let n = -79 - -82. Suppose n*a + 49 = 2*l - 0*a, 4*a + 96 = 4*l. What are the prime factors of l?
23
Let g = 90 + -87. Suppose 0 = 5*r + 4*o - 35, 0 = 4*r - 0*o - 3*o + 3. Suppose g*y - 2*s - 44 = 0, 2*s - s = r*y - 46. List the prime factors of y.
2
Suppose 2*d = -20 - 4. What are the prime factors of (-1)/(-3) - 188/d?
2
Let t(a) = -a**3 + 4*a**2 - 2*a + 8. Let d be t(6). Let v be d/8*(-8)/1. Let o = -43 + v. List the prime factors of o.
3, 11
Suppose -28*x = -10*x - 74520. What are the prime factors of x?
2, 3, 5, 23
Suppose 2*l - 722 = -2*m + 1704, 0 = -3*l - m + 3647. What are the prime factors of l?
1217
Let z(w) = 3 - 3*w + w**2 + 1 - 12. List the prime factors of z(-10).
2, 61
Let i(x) = 468*x**2 + 5*x + 9. What are the prime factors of i(-2)?
1871
Suppose -3*n = -2*r - 135, -2*n - 185 = -6*n + r. Suppose n + 97 = 4*a. What are the prime factors of a?
2, 3
List the prime factors of (5 - -461) + (-5)/(-1).
3, 157
Let x(u) = -4*u**3 - u**2 + 4*u + 3. Let b be 1 + (6 - 0)/2. Suppose b = y - 3*y. What are the prime factors of x(y)?
23
Let m(j) = 58*j - 12. Let z = -42 + 44. List the prime factors of m(z).
2, 13
Suppose -3*o - 10 = -j + 5, 4*o = -3*j - 7. Suppose -j*b + 18 = -5*k, -3*k + 9 = -0*k. Suppose -2*t + 9 = g, -5*t - b = -5*g + 34. List the prime factors of g.
3
Suppose -2*r - 199 = -67. List the prime factors of 4930/110 - 3*4/r.
3, 5
Suppose 0 = -2*v - g + 3132, -14*g = 2*v - 9*g - 3124. What are the prime factors of v?
1567
Let o(q) = -2*q**3 - 6*q**2 - 7*q. Let l be o(-3). Let d be (l/7)/((-3)/(-65)). Suppose 5*z = -i + d, 0 = i - 2*z - 56 + 19. List the prime factors of i.
3, 5
Let m = -967 - -3472. What are the prime factors of m?
3, 5, 167
Let d(y) = 1937*y - 178. What a | {
"pile_set_name": "DM Mathematics"
} |
is 667 minutes before 3:13 AM?
4:06 PM
How many minutes are there between 4:13 AM and 6:52 AM?
159
What is 244 minutes after 12:47 PM?
4:51 PM
What is 141 minutes before 10:05 AM?
7:44 AM
How many minutes are there between 6:45 AM and 8:53 AM?
128
How many minutes are there between 7:51 PM and 2:54 AM?
423
How many minutes are there between 5:03 AM and 7:06 AM?
123
What is 448 minutes before 11:36 PM?
4:08 PM
What is 592 minutes before 3:59 PM?
6:07 AM
What is 296 minutes after 9:58 PM?
2:54 AM
What is 48 minutes after 5:29 AM?
6:17 AM
How many minutes are there between 4:00 PM and 2:11 AM?
611
What is 670 minutes after 6:04 AM?
5:14 PM
How many minutes are there between 8:12 AM and 12:38 PM?
266
How many minutes are there between 9:29 AM and 12:05 PM?
156
What is 406 minutes after 11:18 PM?
6:04 AM
What is 690 minutes after 4:58 PM?
4:28 AM
What is 704 minutes after 7:18 AM?
7:02 PM
What is 715 minutes after 3:20 PM?
3:15 AM
What is 535 minutes before 6:25 PM?
9:30 AM
What is 662 minutes after 6:16 AM?
5:18 PM
What is 421 minutes before 4:04 PM?
9:03 AM
What is 274 minutes before 10:08 PM?
5:34 PM
How many minutes are there between 3:16 PM and 4:53 PM?
97
What is 690 minutes after 3:59 PM?
3:29 AM
How many minutes are there between 1:31 AM and 2:06 AM?
35
What is 445 minutes after 5:28 AM?
12:53 PM
How many minutes are there between 4:31 AM and 8:27 AM?
236
What is 166 minutes before 11:57 PM?
9:11 PM
How many minutes are there between 2:12 PM and 4:28 PM?
136
What is 708 minutes before 4:50 AM?
5:02 PM
What is 315 minutes before 8:56 AM?
3:41 AM
What is 599 minutes after 2:59 AM?
12:58 PM
How many minutes are there between 11:37 PM and 12:27 AM?
50
What is 315 minutes before 5:59 PM?
12:44 PM
How many minutes are there between 2:07 PM and 1:14 AM?
667
How many minutes are there between 11:42 PM and 1:59 AM?
137
What is 391 minutes before 7:25 AM?
12:54 AM
What is 609 minutes after 12:13 AM?
10:22 AM
How many minutes are there between 7:24 PM and 6:05 AM?
641
What is 430 minutes before 10:54 PM?
3:44 PM
How many minutes are there between 2:39 PM and 7:28 PM?
289
How many minutes are there between 1:25 PM and 9:01 PM?
456
What is 459 minutes after 4:52 AM?
12:31 PM
How many minutes are there between 8:20 AM and 10:59 AM?
159
What is 156 minutes before 9:09 AM?
6:33 AM
What is 401 minutes after 7:55 PM?
2:36 AM
How many minutes are there between 3:16 AM and 5:07 AM?
111
What is 715 minutes before 6:46 PM?
6:51 AM
What is 457 minutes before 6:43 PM?
11:06 AM
How many minutes are there between 12:25 AM and 8:48 AM?
503
What is 309 minutes after 12:40 AM?
5:49 AM
How many minutes are there between 4:27 AM and 1:13 PM?
526
What is 144 minutes before 1:32 AM?
11:08 PM
How many minutes are there between 2:29 AM and 9:37 AM?
428
What is 584 minutes before 10:18 PM?
12:34 PM
How many minutes are there between 11:23 AM and 6:11 PM?
408
What is 77 minutes before 8:17 PM?
7:00 PM
How many minutes are there between 2:30 AM and 12:02 PM?
572
How many minutes are there between 1:30 AM and 9:42 AM?
492
What is 289 minutes after 2:38 PM?
7:27 PM
How many minutes are there between 9:32 PM and 7:16 AM?
584
What is 126 minutes before 12:55 PM?
10:49 AM
What is 156 minutes after 5:50 AM?
8:26 AM
How many minutes are there between 9:17 AM and 5:19 PM?
482
How many minutes are there between 11:30 PM and 3:01 AM?
211
What is 305 minutes before 8:37 PM?
3:32 PM
How many minutes are there between 4:12 PM and 4:07 AM?
715
What is 401 minutes before 12:39 AM?
5:58 PM
What is 170 minutes before 12:25 AM?
9:35 PM
How many minutes are there between 11:52 AM and 1:42 PM?
110
What is 203 minutes before 1:59 PM?
10:36 AM
What is 630 minutes after 2:29 PM?
12:59 AM
What is 583 minutes after 1:57 PM?
11:40 PM
What is 67 minutes before 12:49 PM?
11:42 AM
What is 617 minutes before 3:12 PM?
4:55 AM
What is 693 minutes after 4:24 PM?
3:57 AM
What is 623 minutes after 5:24 AM?
3:47 PM
How many minutes are there between 1:59 PM and 6:42 PM?
283
What is 582 minutes before 5:35 PM?
7:53 AM
What is 130 minutes after 3:52 PM?
6:02 PM
How many minutes are there between 1:43 AM and 2:18 AM?
35
How many minutes are there between 2:26 AM and 2:28 AM?
2
What is 6 minutes before 1:32 PM?
1:26 PM
What is 634 minutes before 8:08 AM?
9:34 PM
What is 309 minutes before 6:50 PM?
1:41 PM
What is 128 minutes after 8:49 AM?
10:57 AM
How many minutes are there between 8:52 PM and 6:33 AM?
581
What is 699 minutes before 3:35 PM?
3:56 AM
How many minutes are there between 3:04 PM and 3:54 PM?
50
How many minutes are there between 7:07 PM and 8:45 PM?
98
How many minutes are there between 9:40 PM and 3:46 AM?
366
How many minutes are there between 1:27 PM and 4:06 PM?
159
How many minutes are there between 2:43 PM and 6:10 PM?
207
What is 127 minutes before 4:38 AM?
2:31 AM
How many minutes are there between 7:18 AM and 9:21 AM?
123
What is 599 minutes before 6:56 PM?
8:57 AM
How many minutes are there between 1:31 PM and 2:33 PM?
62
How many minutes are there between 9:09 PM and 8:37 AM?
688
How many minutes are there between 7:29 PM and 8:59 PM?
90
How many minutes are there between 9:48 PM and 7:30 AM?
582
What is 56 minutes after 1:04 AM?
2:00 AM
How many minutes are there between 5:56 PM and 3:39 AM?
583
What is 240 minutes before 1:31 PM?
9:31 AM
What is 166 minutes before 3:04 AM?
12:18 AM
How many minutes are there between 7:01 PM and 3:25 AM?
504
How many minutes are there between 11:01 PM and 8:34 AM?
573
How many minutes are there between 12:20 AM and 5:45 AM?
325
How many minutes are there between 7:28 PM and 9:19 PM?
111
What is 707 minutes after 4:38 AM?
4:25 PM
What is 405 minutes after 8:03 AM?
2:48 PM
What is 532 minutes before 6:25 AM?
9:33 PM
How many minutes are there between 8:36 AM and 5:53 PM?
557
How many minutes are there between 2:35 AM and 6:49 AM?
254
How many minutes are there between 2:26 PM and 6:41 PM?
255
How many minutes are there between 11:35 AM and 1:32 PM?
117
How many minutes are there between 7:31 PM and 7:42 PM?
11
How many minutes are there between 4:50 PM and 4:06 AM?
676
What is 286 minutes before 10:39 AM?
5:53 AM
What is 67 minutes before 4:24 AM?
3:17 AM
How many minutes are there between 4:22 PM and 12:08 AM?
466
How many minutes are there between 8:30 AM and 8:20 PM?
710
How many minutes are there between 3:02 PM and 3:38 PM?
36
What is 709 minutes before 12:09 AM?
12:20 PM
How many minutes are there between 8:38 PM and 7:40 AM?
662
How many minutes are there between 7:48 AM and 10:27 AM?
159
What is 623 minutes before 4:39 PM?
6:16 AM
How many minutes are there between 10:07 PM and 10:43 PM?
36
What is 345 minutes after 7:34 PM?
1:19 AM
What is 204 minutes after 5:01 AM?
8:25 AM
What is 636 minutes before 3:02 AM?
4:26 PM
What is 292 minutes after 12:15 AM?
5:07 AM
What is 344 minutes after 2:41 AM?
8:25 AM
How many minutes are there between 3:23 AM and 1:07 PM?
584
How many minutes are there between 11:14 PM and 6:48 AM?
454
What is 49 minutes before 4:41 PM?
3:52 PM
How many minutes are there between 8:05 PM and 7:00 AM?
655
What is 559 minutes after 6:07 AM?
3:26 PM
What is 322 minutes before 10:43 AM?
5:21 AM
What is 298 minutes before 2:37 AM?
9:39 PM
How many minutes are there between 3:44 AM and 10:34 AM?
410
What is 616 minutes after 10:00 AM?
8:16 PM
How many minutes are there between 12:19 PM and 9:57 PM?
578
What is 424 minutes after 2:21 PM?
9:25 PM
What is 557 minutes after 11:31 AM?
8:48 PM
How many minutes are there between 11:26 AM and 6:34 PM?
428
How many minutes are there between 8:53 AM and 10:36 AM?
103
What is 428 minutes before 4:41 PM?
9:33 AM
What is 584 minutes after 3:34 PM?
1:18 AM
How many minutes are there between 7:06 PM and 3:50 AM?
524
How many minutes are there between 8:49 AM and 2:44 PM?
355
How many minutes are there between 2:13 PM and 10:03 PM?
470
What is 665 minutes before 7:37 PM?
8:32 AM
What is 186 minutes before 1:05 AM?
9:59 PM
How many minutes are there between 11:18 AM and 12:48 PM?
90
How many minutes are there between 9:07 AM and 12:12 PM?
185
What is 298 minutes after 12:06 AM?
5:04 AM
What is 399 minutes after 1:45 PM?
8:24 PM
How many minutes are there between 2:00 AM and 1:20 PM?
680
How many minut | {
"pile_set_name": "DM Mathematics"
} |
e third derivative of d(j) wrt j?
-1200*j**3
Let p be (-9)/(-3) - -2 - -3. Let t = -8 + p. What is the second derivative of -2*g - 2*g - g**2 + t + 0 wrt g?
-2
Let g = -22 - -26. Find the third derivative of -3*u**2 - 3*u**g + 17*u**4 + 2*u**4 - 8*u**2 wrt u.
384*u
Suppose -a - 3*h = -7, 0 = -0*a + 4*a - 2*h. Let o(w) = -1. Let n(g) = -g - 7. Let r(k) = a*n(k) + o(k). Differentiate r(q) with respect to q.
-1
Let j(z) = -2*z**2 - z - 1. Let a(w) = 252*w**2 - 62. Let d(r) = a(r) - j(r). Find the second derivative of d(y) wrt y.
508
Let v be ((-11)/(-5)*-2)/(6/(-60)). Differentiate -32*q + v - 31*q + 64*q with respect to q.
1
Suppose 3*f = 3*l + 21, 0*f = -2*f + 3*l + 16. Suppose -f = m - 3*p, 2*p - 28 = -5*m - 2. Differentiate 9 - 2 + i**m - 2 + i**4 with respect to i.
8*i**3
Let z(r) be the first derivative of 0*r + 10*r**2 - 3/4*r**4 - 28 + 0*r**3. Find the second derivative of z(c) wrt c.
-18*c
Let o(r) be the first derivative of r**7/3 + r**4/6 - 11*r + 15. Let l(s) be the first derivative of o(s). Find the third derivative of l(n) wrt n.
840*n**2
Let c(u) = -12*u**3 + 2*u**2 - 3. Let j be c(-2). Find the second derivative of -j*f**2 + 101*f**2 - 10*f - f**4 wrt f.
-12*f**2
What is the first derivative of 51*p**3 + 119*p**3 + p**3 + 183 + 185*p**3 + 262*p**3 wrt p?
1854*p**2
Let l(k) = 668*k**3 - 902*k**2 + 3*k + 3. Let q(u) = -2*u**2 + u + 1. Let c(v) = l(v) - 3*q(v). Find the third derivative of c(x) wrt x.
4008
Let u(n) be the third derivative of -n**7/210 - n**5/30 - 7*n**4/8 + 4*n**2 + n. What is the third derivative of u(x) wrt x?
-24*x
Let m(k) = 2*k + 16. Let s be m(-3). What is the third derivative of s*v**2 - 22*v**2 - 22*v**4 + 33*v**2 wrt v?
-528*v
Let j(o) = -83*o**3 - 10*o + 148. Let i(y) = 124*y**3 + 16*y - 222. Let c(s) = -5*i(s) - 8*j(s). Differentiate c(u) wrt u.
132*u**2
Let j(z) be the second derivative of 2*z**3/3 - 10*z**2 + 5*z. Differentiate j(v) with respect to v.
4
Let m(r) be the second derivative of 0*r**3 + 2/15*r**6 + 0*r**4 + 0 - 15*r + 0*r**5 + r**2. What is the first derivative of m(g) wrt g?
16*g**3
Suppose 0 = -3*q + z + 16, -6*z = -5*q - 3*z + 32. Find the second derivative of 4*n**q - 15*n + 13*n + n wrt n.
48*n**2
Let q be 39*((-3)/(-27))/((-2)/(-6)). Find the first derivative of -11 + 25*u - q*u - 1 wrt u.
12
Let l(d) be the first derivative of 1/4*d**4 + 0*d**2 + 3*d**3 + 0*d + 8. Find the third derivative of l(m) wrt m.
6
Let k(y) be the third derivative of -y**8/336 - 97*y**7/210 - 17*y**5/30 + 7*y**2. Find the third derivative of k(v) wrt v.
-60*v**2 - 2328*v
Let z be (-28)/(-98) - (-390)/7. Find the second derivative of 61*o**3 - 16*o + z*o**3 - 117*o**3 - 29*o**4 wrt o.
-348*o**2
Let l be 2/(-12) + 2275/(-30). Let n = l + 108. What is the third derivative of n*x**2 - 6*x**6 - 15*x**2 - 9*x**2 wrt x?
-720*x**3
Let f = 10 - 7. Suppose f*z = 18 - 0. What is the third derivative of z*p**4 - 7*p**4 + 5*p**4 - 3*p**2 wrt p?
96*p
Let f(o) be the third derivative of 23*o**8/84 + o**4/4 - 7*o**3/6 + 29*o**2. What is the second derivative of f(g) wrt g?
1840*g**3
Let m(x) be the third derivative of -8*x**6/5 + 2*x**5/15 - 2*x**3 + x**2 - 64. Find the third derivative of m(f) wrt f.
-1152
Let w(a) = a**2 + 2*a + 1. Let h be w(3). Let o = h + -11. Differentiate -5 + 0 - 9*t**2 + o*t**2 wrt t.
-8*t
Suppose 0 = -m - m + 8. Find the second derivative of 0*c**2 + 4*c**2 + m*c + c**2 - 10*c**2 wrt c.
-10
Let u(s) be the third derivative of 11*s**6/720 - s**5/12 + 9*s**4/8 + 8*s**2. Let c(y) be the second derivative of u(y). Differentiate c(q) with respect to q.
11
Find the first derivative of -3052*w + 6107*w + 201 - 539*w**3 - 3055*w wrt w.
-1617*w**2
Let n(f) = f**2 + 3. Let d(m) = -467*m**2 + 549. Let v(x) = -d(x) + 4*n(x). What is the derivative of v(j) wrt j?
942*j
Let t(m) be the second derivative of -19*m**6/6 - 52*m**3/3 - 5*m + 5. What is the second derivative of t(k) wrt k?
-1140*k**2
What is the first derivative of -r + 7643 + r - 759*r**2 - 7591 wrt r?
-1518*r
Suppose 3*l = -r - 9, 0 = -4*r - l + 4 + 4. Suppose r*w - 12 = -0. Find the second derivative of -4*c + 6*c - w*c + 2*c**5 wrt c.
40*c**3
Let x(j) be the first derivative of 12 + 3*j + 0*j**2 + 0*j**3 - 5/4*j**4. What is the first derivative of x(u) wrt u?
-15*u**2
What is the second derivative of 10*w - 29*w + 16*w + 71*w**3 + 16*w wrt w?
426*w
Suppose 5*i = -0*k - 4*k + 9, 4*i = 4*k + 36. What is the third derivative of -29*t**i + 29*t**5 - 28*t**6 + 32*t**2 wrt t?
-3360*t**3
Let l be 1 + -1 + (-4)/(-2). Find the third derivative of k**3 - 2*k**2 - k**2 - 9*k**3 - 4*k**l wrt k.
-48
Suppose -36 = -2*a + 4*p, 2*p = -6 - 4. Let f be (2/4)/(1/a). Find the second derivative of -64*t**f + 3*t + 5*t + 70*t**4 wrt t.
72*t**2
Let a(k) = 243*k**4 - 79*k**2 + 4. Let m(w) = -487*w**4 + 158*w**2 - 10. Let j(g) = 10*a(g) + 4*m(g). Find the third derivative of j(v) wrt v.
11568*v
Let n(v) be the third derivative of 3*v**7/70 - v**5/12 - 25*v**4/4 - 26*v**2. What is the second derivative of n(t) wrt t?
108*t**2 - 10
Suppose 10*j + j = -11. Let a(q) = -q**3 + 1. Let n(z) = -3*z**3 + 25*z - 3. Let k(i) = j*n(i) - 3*a(i). What is the second derivative of k(g) wrt g?
36*g
Let t(q) be the third derivative of -157*q**5/60 + q**4/24 + 69*q**3/2 + 204*q**2 + 2*q. Find the first derivative of t(f) wrt f.
-314*f + 1
Differentiate -101*n**3 - 145 - 29 - 3*n**3 wrt n.
-312*n**2
Let w = 447 - 439. Let g(b) be the first derivative of 0*b + w + 0*b**3 + 0*b**4 - 1/6*b**6 - 5*b**2 + 0*b**5. Find the second derivative of g(z) wrt z.
-20*z**3
Let x(y) = -5*y**6 - 83*y**2 - 13*y. Let v(i) = -3*i**6 - 41*i**2 - 6*i. Let s(j) = -13*v(j) + 6*x(j). Find the third derivative of s(d) wrt d.
1080*d**3
What is the derivative of -336*k**3 - k - 73 - 36 + 332*k**3 wrt k?
-12*k**2 - 1
Let w(r) be the second derivative of -r**3 - 4*r**2 - r. Let m be w(-3). What is the second derivative of m*h + 174 - 174 + 2*h - 4*h**5 wrt h?
-80*h**3
Let m(y) = -274*y**2 - 6*y + 182. Let b(x) = -275*x**2 - 5*x + 181. Let d(p) = 6*b(p) - 5*m(p). Differentiate d(w) with respect to w.
-560*w
Differentiate 74*j**4 - 346*j**4 - 330 + 642 - 302*j**4 wrt j.
-2296*j**3
Let i(o) be the second derivative of 3*o**8/280 - o**4/2 - 16*o**3/3 + 31*o. Let v(f) be the second derivative of i(f). Find the first derivative of v(q) wrt q.
72*q**3
Let g(c) be the second derivative of 53*c**6/30 + 107*c**2/2 - 7*c. Differentiate g(y) with respect to y.
212*y**3
Differentiate 18 + 20 + 34 + 175*o**4 wrt o.
700*o**3
Let n(j) be the first derivative of j**7/35 - j**4/3 - 5*j**2 + 11. Let o(b) be the second derivative of n(b). What is the second derivative of o(f) wrt f?
72*f**2
Let n(l) be the second derivative of l**6/24 + l**5/12 - 11*l**2 - 15*l. Let g(m) be the first derivative of n(m). Find the third derivative of g(c) wrt c.
30
Suppose -8*m = 2*m - 40. Find the second derivative of 13*i + 13*i - 7*i**4 + 28*i**m - 31*i wrt i.
252*i**2
Let k(z) = -z**6 - z**3 + z**2. Let v(d) = 15*d**6 + 4*d**3 - 10*d**2. Let t = -41 - -40. Let w(i) = t*v(i) - 4*k(i). Find the third derivative of w(p) wrt p.
-1320*p**3
Let h be (4/(-6))/((-14)/(-147)). Let p be (9 - 7)/((-2)/h). Find the first derivative of 45*v**4 - p - 23*v**4 - 18*v**4 wrt v.
16*v**3
Let w(l) = 6*l**5 + 5*l**3 - 8*l**2 - 4*l + 10. Let t(j) = j**5 - j**3 - j**2 - j. Let h(v) = 4*t(v) - w(v). Find the third derivative of h(i) wrt i.
-120*i**2 - 54
Let o(p) be the third derivative of 3*p**5/10 + 3*p**3 + 81*p**2. What is the first derivative of o(j) wrt j?
36*j
Let y = -8 + 8. Let t be y + 0 - (-5 - -3). What is the derivative of -7*v + 9*v - 1 + v - t*v wrt v?
1
Let k(p) be the second derivative of p**4/6 + 2*p**3/3 + 23*p**2 - 43*p. Differentiate k(t) with respect to t.
4*t + 4
Suppose 2*a - 2*u = 4*a - 18, 5*a = 5*u + 15. What is the third derivative of 14*p**6 - 26*p**2 + 16*p**6 - 7*p**a - p**6 wrt p?
2640*p**3
Let b(r) be the first derivative of 4*r**6/15 + 5*r**3/3 + 12*r - 2. Let x(c) be the first derivative of b(c). Find the second derivative of x(n) wrt n.
96*n**2
Let i(z) = 74*z**3 - 161*z**2 - 236*z - 7. Let b(d) = 12*d**3 + d**2 - 1. Let n(m) = -6*b(m) + i(m). Find the second derivative of n(a) wrt a.
12*a - 334
Differentiate -16*v + 66 + 28*v**3 + 20*v - 4 | {
"pile_set_name": "DM Mathematics"
} |
Let j(v) = -v**3 + 3*v**2 + 7*v + 1. Let q be j(4). Let x(i) = -q - 6*i**2 + 3*i - 5*i - 5*i**2. Calculate -4*x(s) + 9*z(s).
-s**2 - s - 2
Let m(q) be the second derivative of q**3/6 - q**2 + 6*q. Let g(y) = -1. Give 2*g(i) - 2*m(i).
-2*i + 2
Let c(l) = l**2 + 7*l - 6. Let o(d) = -2*d**2 - 15*d + 13. Let s(u) = 13*c(u) + 6*o(u). Let g(p) = -p**2 - 2*p. Determine 3*g(n) + 5*s(n).
2*n**2 - n
Let w(g) be the first derivative of -3*g**5/20 - 3*g**2 + 3*g - 1. Let a(q) be the first derivative of w(q). Let n(l) = -l**3 - 1. Calculate a(d) - 6*n(d).
3*d**3
Let z(l) be the third derivative of l**4/6 - l**3/3 - 15*l**2. Let j(i) = 5*i - 3. Suppose 3 = h - 0. Calculate h*z(g) - 2*j(g).
2*g
Let f(p) = -1 + p - 2 + 8*p. Let b = 18 + -13. Let k(c) = -4*c + 1. Give b*k(x) + 2*f(x).
-2*x - 1
Let u(x) = x**3 + x**2 - x + 1. Let m(d) = 7*d**3 + 4*d**2 - 5*d + 1. Calculate -m(k) + 4*u(k).
-3*k**3 + k + 3
Let u(v) = -2*v**3 + v**2 + v + 3. Let c(b) be the second derivative of b**5/10 - b**2 + 5*b. Calculate 3*c(x) + 2*u(x).
2*x**3 + 2*x**2 + 2*x
Suppose -v = v + 14. Let z(b) = 9*b - 5. Let h(l) = -9*l + 0 + 7 - 4*l. Calculate v*z(x) - 5*h(x).
2*x
Let q(x) = -8*x**3 + 9*x**2 + 8*x - 11. Let r(c) = 7*c**3 - 8*c**2 - 7*c + 12. What is 6*q(t) + 7*r(t)?
t**3 - 2*t**2 - t + 18
Let g(s) = -s**2 + s. Let n(r) be the third derivative of r**5/20 + r**4/24 - r**3/3 - 12*r**2. Determine g(o) + n(o).
2*o**2 + 2*o - 2
Let j(x) = -7*x - 4. Let w(n) = -n - 1. Let u = 255 - 260. Let v = -1 - -3. Let h = 3 - v. Determine h*j(g) + u*w(g).
-2*g + 1
Let p(y) = -8*y - 4. Let i(x) = -7*x - 5. What is 5*i(n) - 6*p(n)?
13*n - 1
Let v(x) = -6*x**3 - x**2 + 3*x - 3. Let s(q) = 5*q**3 + q**2 - 2*q + 2. Calculate 3*s(p) + 2*v(p).
3*p**3 + p**2
Let g(l) be the third derivative of -l**5/60 - l**4/24 + l**3/6 - 4*l**2. Let n = 12 - 9. Let j(p) = p**3 - 3*p**2 - 3*p + 2. Give n*g(c) - j(c).
-c**3 + 1
Let b(o) = -1. Let p(h) be the third derivative of h**4/12 - 5*h**3/6 - 4*h**2. What is -6*b(y) + p(y)?
2*y + 1
Let z(t) = 2*t**2 + 0 - 2 + 3 - 3*t**2. Let b(l) = -3 - 2*l**2 - l - 3 + 7 - l**2. Determine -b(i) + 2*z(i).
i**2 + i + 1
Let b(z) = 6*z**3 + 2*z**2 + 4*z - 2. Let m(l) = -l**3 - l. Calculate -b(j) - 5*m(j).
-j**3 - 2*j**2 + j + 2
Let a(w) = 26*w + 16. Let n(s) = -9*s - 5. What is 2*a(z) + 7*n(z)?
-11*z - 3
Let y(r) = -r**3 - 7*r**2 + 7*r + 7. Let n(i) = i**3 + 4*i**2 - 4*i - 4. Suppose t - 5 = 2. What is t*n(f) + 4*y(f)?
3*f**3
Let f(h) = 44*h**3 - h**2 - 2*h - 2. Let n(z) = 88*z**3 - 3*z**2 - 5*z - 5. What is 5*f(p) - 2*n(p)?
44*p**3 + p**2
Suppose -5*d - 38 + 123 = 0. Let b(x) = 7*x**3 - 6*x**2 + 6. Let r(z) = -20*z**3 + 17*z**2 - 17. Give d*b(p) + 6*r(p).
-p**3
Let n(w) be the second derivative of -4*w**3/3 - 7*w**2 + 3*w. Let l(g) = 3*g + 5. Let j = 11 - 0. Determine j*l(k) + 4*n(k).
k - 1
Let g(j) = -8*j - 1. Let s(h) = h**2 - 7*h - 1. Let p(r) = -5*g(r) + 6*s(r). Let m(n) = -1 + n - n - 2*n + 7*n**2. Calculate 4*m(v) - 5*p(v).
-2*v**2 + 2*v + 1
Let f = -20 - -17. Let k be ((-3)/f)/(3/(-51)). Let i(d) = 23*d - 3. Let c(g) = -8*g + 1. Give k*c(s) - 6*i(s).
-2*s + 1
Let w(i) = 4*i**3 + 16*i + 7. Let p(f) = 0 + 2 - 9*f - 3*f**3 - 2*f - 7. Give 7*p(l) + 5*w(l).
-l**3 + 3*l
Let d(x) = 3*x**2 - 14. Let s(b) = 3*b**2 - 15. What is -5*d(n) + 4*s(n)?
-3*n**2 + 10
Let c(k) = -k**3 - k**2 + k. Let y(m) = 7*m**3 + 6*m**2 - 7*m + 2. What is -6*c(g) - y(g)?
-g**3 + g - 2
Suppose o = -o + 16. Suppose -5*w + 19 = -7*w - p, w = p - o. Let x(f) = -8 + 4*f**3 - 3*f**3 - 1 - 5*f. Let g(v) = -v - 2. Calculate w*g(d) + 2*x(d).
2*d**3 - d
Let a(o) = -2*o**2 - 3*o - 4. Let w be ((-2)/(-3)*3)/1. Let v(n) = n + n + 0 + 5 - 2 + n**w. Calculate -4*a(z) - 6*v(z).
2*z**2 - 2
Let n(o) = -7*o**2 - 24*o + 5. Let k(s) = -s**2 - s + 1. Calculate -5*k(x) + n(x).
-2*x**2 - 19*x
Let y(d) = 10*d + d**3 - 11*d + 0*d**3 + 1. Let u(c) = 2*c**3 + c**2 - 4*c + 4. Determine u(n) - 4*y(n).
-2*n**3 + n**2
Let s(q) = q**2 + 8*q - 4. Let z(h) = -h**2 - 7*h + 3. What is -2*s(l) - 3*z(l)?
l**2 + 5*l - 1
Let t(p) = -6*p - 1. Let c(v) = -1 - 30*v + 16*v + 9*v. Give -5*c(g) + 4*t(g).
g + 1
Let d(u) be the first derivative of -u**3/3 + u**2/2 - u + 3. Let r(q) = -3*q**3 - 3*q**2 + 3*q - 3. What is 3*d(j) - r(j)?
3*j**3
Let h(t) = -15*t**2 - 11*t. Let m(q) = -8*q**2 - 6*q. Let d be -1*2 + (-5 - 4). Calculate d*m(b) + 6*h(b).
-2*b**2
Let k(q) = -q**2 - 1. Let g(t) = -8*t**2 - 4. Let h(y) = -6*y + 32. Let p be h(6). Determine p*k(u) + g(u).
-4*u**2
Let y(r) = 8*r - 14. Let c(d) = -9*d + 15. What is -6*c(f) - 7*y(f)?
-2*f + 8
Let k(d) = -d**2 + d - 1. Let g(w) = 9*w**2 - 10*w + 5. Let s(f) = -14*f**2 + 15*f - 7. Let y(c) = -8*g(c) - 5*s(c). What is 3*k(o) - y(o)?
-o**2 - 2*o + 2
Let m(k) = -5*k**2 + 4*k + 5. Let i(c) = 7*c**2 - 4*c - 29. Let x(w) = -2*w**2 + w + 10. Let f(a) = 4*i(a) + 11*x(a). Calculate -4*f(t) - 5*m(t).
t**2 - 1
Let x(f) = -f + 6. Let j(h) = h - 7. Let m be (-6)/9*(-3)/(-2). Let o = m + 7. Give o*j(p) + 7*x(p).
-p
Let c = 31 + -18. Suppose -3*n = 2*t + c - 4, 5*n = -t - 8. Let r(w) = -w. Let u(g) = -3*g + 1. Determine n*r(f) + u(f).
-2*f + 1
Let q(h) = -2*h - 14. Let k(d) = 1. Let i(t) = -5*k(t) - q(t). Let l = -1 - -3. Suppose 5 = -l*u + 23. Let a(c) = -c - 4. Give u*a(o) + 4*i(o).
-o
Let l(d) be the second derivative of -5*d**4/12 + d**3/6 + 5*d**2/2 + d. Let b be 45/27 + 4/3. Let y(x) = 4*x**2 - x - 4. Give b*l(a) + 4*y(a).
a**2 - a - 1
Let t(a) = -a**2. Let r(p) = 10*p**2 - 2*p. Let m = -18 + 49. Suppose -g + 12 = 4*j + m, 2*j = 5*g - 15. Give g*r(k) + 12*t(k).
-2*k**2 - 2*k
Let p(l) = 8*l - 53. Let d be p(6). Let y(i) = -2*i**2 - 4*i + 3. Let r(g) = 0*g**2 - 3 + 5*g + 2*g**2 - 1. Determine d*y(k) - 4*r(k).
2*k**2 + 1
Let k(i) = -14*i**3 + 2*i - 5. Let z(w) = w**3 + 1. Determine -k(s) - 5*z(s).
9*s**3 - 2*s
Let y(w) = 2*w + 8. Let k(p) = -p**2 - 1. Give 6*k(v) + y(v).
-6*v**2 + 2*v + 2
Let f(g) = 7*g**2 + 5*g - 2. Let h(s) = 6*s**2 + 5*s - 2. What is 4*f(t) - 5*h(t)?
-2*t**2 - 5*t + 2
Let l be (2*-3)/((-10)/15). Let z(h) = -14 + 5 + l - h - h**2. Let s(u) = -u**3 - 3*u**2 - 2*u + 1. Calculate -s(x) + 3*z(x).
x**3 - x - 1
Let y(r) = -2*r**3 + 3*r - 3. Suppose -5*i = m - 10, 5*m + i - 21 = 53. Suppose -20*d + m = -15*d. Let g(x) = -6*x**3 + 8*x - 8. What is d*g(p) - 8*y(p)?
-2*p**3
Let k(o) = o**3 - 6*o. Let w(n) = -n**3 + n**2 + 11*n. What is -5*k(f) - 3*w(f)?
-2*f**3 - 3*f**2 - 3*f
Let d(l) = -2*l**3 - l**2 - l. Let h(u) = 5*u**3 + 3*u**2 + 2*u. Suppose 3*q + 12 = -q. Let m be (-63)/6*2/q. What is m*d(t) + 3*h(t)?
t**3 + 2*t**2 - t
Let a(l) = 12*l**3 - 2*l**2 - 2*l + 2. Let p(d) = -12*d**3 + 3*d**2 + 3*d - 3. Calculate 3*a(w) + 2*p(w).
12*w**3
Let c = -23 - -29. Let j(g) = 1. Let b(y) = y + 2. Calculate c*j(p) - 2*b(p).
-2*p + 2
Let m = 4 - 4. Let p = m - 1. Let x(f) = f**3 + f**2 - f - 1. Let q(c) = -5 + 9*c**2 - 4*c**2 - 5*c + 6*c**3 - 2*c**3. Calculate p*q(j) + 5*x(j).
j**3
Let m(o) = -o - 1. Let x(a) = 2*a**3 - 3*a**2 + 6*a + 3. Let t(s) = -6*m(s) - 2*x(s). Let b(w) = -4*w**3 + 5*w**2 - 5*w. Calculate 6*b(u) - 5*t(u).
-4*u**3
Let g(i) = 4*i - 8 - 3*i - 2*i + 4. Let u(v) = v + 1. Let s(o) = 2*o + 2. Let h(j) = -s(j) + 3*u(j). What is g(l) + 2*h(l)?
l - 2
Let c(m) = m**3 + 2*m + 2. Let d = 27 + -9. Let q(y) = 5*y**3 + 9*y + 9. Determine d*c(a) - 4*q(a).
-2*a**3
Let h(i) = -2*i**3 - 4*i. Let y(n) = -2*n**3 - 3*n. Suppose -z = 2*z + 9. Give z*h(o) + 4*y(o).
-2*o**3
Let y be 3*(0 - (0 - (-1)/(-3))). Let t(i) = i**2 - 1. Let d(z) = z + 1. Calculate y*t(n) + 2*d(n).
n**2 + 2*n + 1
Let d = 56 + -53. Let l(q) = q - 2. Let a(z) = 2*z - 3. Determine d*a(i) - 5*l(i).
i + 1
Let y(d) = d + 1. Let f(x) = 4*x - 4. Let w(i) = f(i) - 3*y(i). Let g(s) = -2*s + 11. Determine 5*g(b) + 8*w(b).
-2*b - 1
Let v(b) be the second derivative of -b**4/2 + 11*b**3/6 - 5*b**2/2 - 2*b. Let t be 2 + (-3 - (-2 + -2)). Let x(n) = 2*n**2 - 4*n + 2. Give t*v(o) + 8*x(o).
-2*o**2 + o + 1
Let z(q) = 4*q**3 - 3*q**2 - 3*q. Let c be 0 - 0 - (0 - -5). Let h be 2 - c/(-3)*3. Let i(o) = 7*o**3 - 5*o**2 - 5*o. Calculate h*i(y) + 5*z(y).
-y**3
Let p(d) = -5*d**3 - 2*d**2 + 2*d + 3. Let f(z) be the third derivative of 7*z**6/40 + 3*z**5/20 - 3*z**4/8 - 13*z**3/6 + 18*z**2. Calculate -2*f(t) - 9*p(t).
3*t**3 - 1
Let s(i) = -23*i + 4. Let t(w) = w**2 + 46*w | {
"pile_set_name": "DM Mathematics"
} |
there in one fifth of a litre?
200
What is 3/25 of a tonne in kilograms?
120
How many months are there in nine tenths of a millennium?
10800
What is 3/5 of a kilogram in grams?
600
What is eighteen fifths of a litre in millilitres?
3600
How many months are there in thirteen eighths of a millennium?
19500
How many micrometers are there in 11/10 of a millimeter?
1100
How many months are there in three tenths of a millennium?
3600
What is 46466.71 weeks in microseconds?
28103066208000000
Convert 21845.21g to milligrams.
21845210
How many micrograms are there in 37/5 of a milligram?
7400
How many millilitres are there in fifty-one quarters of a litre?
12750
What is ten thirds of a decade in months?
400
How many litres are there in 68433.96 millilitres?
68.43396
How many micrometers are there in twenty-five halves of a millimeter?
12500
What is 774.327 hours in minutes?
46459.62
What is 3/5 of a litre in millilitres?
600
What is 1/20 of a litre in millilitres?
50
What is 10/9 of a day in minutes?
1600
What is 50.11757 milligrams in nanograms?
50117570
How many nanoseconds are there in 452477.1 minutes?
27148626000000000
How many micrograms are there in 13/5 of a milligram?
2600
What is 8/3 of a hour in seconds?
9600
How many nanograms are there in eleven halves of a microgram?
5500
Convert 52.08095 weeks to days.
364.56665
What is 457.9975 milligrams in nanograms?
457997500
How many tonnes are there in 612.1979 milligrams?
0.0000006121979
What is 51/5 of a millennium in centuries?
102
How many seconds are there in 7/6 of a hour?
4200
What is 11/4 of a century in years?
275
What is 17/4 of a litre in millilitres?
4250
What is one fifth of a microgram in nanograms?
200
What is thirty-two fifths of a litre in millilitres?
6400
Convert 559.246ns to seconds.
0.000000559246
Convert 194.2402um to nanometers.
194240.2
What is 59.24889 grams in nanograms?
59248890000
What is three tenths of a meter in centimeters?
30
How many litres are there in 34559.93 millilitres?
34.55993
What is one tenth of a microgram in nanograms?
100
How many centuries are there in eighty-one halves of a millennium?
405
What is 3745.202 millennia in years?
3745202
What is 23.3727093ms in days?
0.00000027051746875
How many litres are there in 519976.9 millilitres?
519.9769
How many micrometers are there in twenty-six fifths of a centimeter?
52000
Convert 7.604705 milligrams to micrograms.
7604.705
Convert 54.01155 months to decades.
0.45009625
What is 46922.66 millilitres in litres?
46.92266
What is 21/4 of a second in milliseconds?
5250
What is 21/4 of a millimeter in micrometers?
5250
What is fifty-one halves of a litre in millilitres?
25500
Convert 367181.2mm to centimeters.
36718.12
Convert 582834.8 meters to centimeters.
58283480
How many milligrams are there in 0.5686786 micrograms?
0.0005686786
Convert 825331.8g to tonnes.
0.8253318
How many kilograms are there in 240317.3 tonnes?
240317300
What is 18.83292l in millilitres?
18832.92
What is one fifth of a litre in millilitres?
200
How many months are there in 27/4 of a year?
81
How many centimeters are there in 6034.348 millimeters?
603.4348
How many millilitres are there in 88709.07l?
88709070
What is one tenth of a litre in millilitres?
100
How many litres are there in 79.67134ml?
0.07967134
Convert 6.574908um to centimeters.
0.0006574908
How many years are there in 5/4 of a millennium?
1250
Convert 5332.868 milligrams to tonnes.
0.000005332868
What is 2.354644nm in kilometers?
0.000000000002354644
How many nanoseconds are there in 3/10 of a microsecond?
300
How many millimeters are there in 90977.65 micrometers?
90.97765
How many minutes are there in twenty-three thirds of a hour?
460
What is fifty-five quarters of a litre in millilitres?
13750
What is 0.2590272ml in litres?
0.0002590272
How many meters are there in eleven halves of a kilometer?
5500
How many millilitres are there in 1/10 of a litre?
100
How many months are there in thirteen quarters of a year?
39
How many millilitres are there in 57/5 of a litre?
11400
Convert 401.5112 milligrams to grams.
0.4015112
What is 23.97133 milligrams in tonnes?
0.00000002397133
What is fourty-nine quarters of a litre in millilitres?
12250
Convert 66.42527 millilitres to litres.
0.06642527
What is one sixteenth of a gram in micrograms?
62500
What is 3/25 of a century in months?
144
What is eleven quarters of a milligram in micrograms?
2750
Convert 50279.63l to millilitres.
50279630
How many millennia are there in 482914.3 centuries?
48291.43
How many hours are there in sixty-four thirds of a week?
3584
How many grams are there in 890233.8 tonnes?
890233800000
How many decades are there in twenty-one halves of a century?
105
Convert 827.233 centimeters to micrometers.
8272330
What is 206889.1l in millilitres?
206889100
Convert 8.769724l to millilitres.
8769.724
Convert 1755.3483 months to years.
146.279025
What is 11/2 of a second in milliseconds?
5500
What is 4/15 of a minute in milliseconds?
16000
Convert 7.908239 kilometers to centimeters.
790823.9
What is 0.2692837 litres in millilitres?
269.2837
What is 0.2479954 milligrams in kilograms?
0.0000002479954
How many nanograms are there in 31/2 of a microgram?
15500
What is five quarters of a second in milliseconds?
1250
What is 13/4 of a week in hours?
546
How many micrometers are there in fourty-two fifths of a centimeter?
84000
Convert 1.97822 days to microseconds.
170918208000
What is 6/5 of a litre in millilitres?
1200
How many months are there in 9/10 of a millennium?
10800
What is 44111.62 litres in millilitres?
44111620
How many years are there in 0.5280457 millennia?
528.0457
What is 59/3 of a year in months?
236
Convert 80304.3 litres to millilitres.
80304300
How many millilitres are there in five quarters of a litre?
1250
What is 5661.931ml in litres?
5.661931
What is fifty-eight thirds of a year in months?
232
What is five quarters of a year in months?
15
How many meters are there in 0.161513nm?
0.000000000161513
How many litres are there in 817834.9ml?
817.8349
How many micrometers are there in 93.99899 nanometers?
0.09399899
Convert 750.63996 microseconds to weeks.
0.0000000012411375
How many litres are there in 163.2454 millilitres?
0.1632454
Convert 47.725263us to hours.
0.0000000132570175
What is 83.86112 millilitres in litres?
0.08386112
How many milligrams are there in 27/5 of a gram?
5400
How many millilitres are there in 11/4 of a litre?
2750
Convert 196062.9 kilometers to centimeters.
19606290000
How many nanometers are there in 0.0985821 micrometers?
98.5821
What is twenty-one fifths of a millennium in centuries?
42
Convert 0.224149 decades to months.
26.89788
How many tonnes are there in 52148.78 micrograms?
0.00000005214878
How many grams are there in 7/8 of a kilogram?
875
How many micrometers are there in 9962.515 millimeters?
9962515
What is 2.755392 hours in days?
0.114808
Convert 126591.8g to tonnes.
0.1265918
How many grams are there in seven eighths of a kilogram?
875
How many micrometers are there in 45/8 of a millimeter?
5625
Convert 0.2230908ns to milliseconds.
0.0000002230908
How many days are there in 1293259.23ms?
0.014968278125
What is 4.066831ml in litres?
0.004066831
How many nanograms are there in six fifths of a microgram?
1200
What is 357.7924 centuries in millennia?
35.77924
How many millennia are there in 11.94405 years?
0.01194405
How many centimeters are there in 3/25 of a meter?
12
What is 419.9489 nanometers in millimeters?
0.0004199489
What is fourty-five eighths of a millennium in years?
5625
How many millilitres are there in 27/5 of a litre?
5400
How many seconds are there in 4452.427 hours?
16028737.2
What is 27.6466t in micrograms?
27646600000000
Convert 156.803ns to milliseconds.
0.000156803
Convert 94423.6 millilitres to litres.
94.4236
What is five sixths of a millennium in months?
10000
How many nanograms are there in nine tenths of a microgram?
900
Convert 1.1167347 months to years.
0.093061225
Convert 4850.965 micrograms to milligrams.
4.850965
Convert 6.792192 months to years.
0.566016
How many millilitres are there in twenty-one halves of a litre?
10500
Convert 6249.028um to meters.
0.006249028
What is 0.1169739l in millilitres?
116.9739
What is 2/125 of a minute | {
"pile_set_name": "DM Mathematics"
} |
e prob of picking 1 d, 1 h, and 1 g when three letters picked without replacement from {h: 1, c: 1, x: 1, g: 1, d: 3}.
3/35
Three letters picked without replacement from {w: 2, u: 11}. Give prob of picking 3 u.
15/26
Four letters picked without replacement from nnnnnnyoynznncnynncn. Give prob of picking 1 z, 1 y, 1 c, and 1 o.
2/1615
Three letters picked without replacement from {y: 1, k: 2, b: 2, v: 1, c: 1}. Give prob of picking 1 b, 1 y, and 1 c.
2/35
What is prob of picking 1 s and 2 b when three letters picked without replacement from ammsbmbwmaambscmm?
3/340
What is prob of picking 2 r when two letters picked without replacement from lrrrlllllr?
2/15
Calculate prob of picking 4 a when four letters picked without replacement from aaaa.
1
Three letters picked without replacement from {p: 3, x: 9}. Give prob of picking 3 x.
21/55
What is prob of picking 1 b and 1 j when two letters picked without replacement from jbj?
2/3
Calculate prob of picking 1 g and 1 j when two letters picked without replacement from gggjxfggggjx.
7/33
Three letters picked without replacement from zzzzzzoo. What is prob of picking 3 z?
5/14
Three letters picked without replacement from {a: 12, h: 3}. Give prob of picking 2 h and 1 a.
36/455
Calculate prob of picking 1 h, 1 z, and 1 n when three letters picked without replacement from fznolohfhffh.
3/220
Two letters picked without replacement from gllljljljlj. Give prob of picking 2 l.
3/11
Calculate prob of picking 2 j and 1 n when three letters picked without replacement from jvxvjvjjvxjjjnjnxvj.
24/323
What is prob of picking 1 u and 2 j when three letters picked without replacement from {u: 3, j: 2, f: 2, s: 8}?
3/455
Two letters picked without replacement from {o: 2, r: 1, z: 1, g: 1, c: 1, a: 2}. What is prob of picking 1 c and 1 z?
1/28
Two letters picked without replacement from {e: 8, q: 1, l: 3, y: 4, t: 1}. Give prob of picking 1 t and 1 e.
1/17
Calculate prob of picking 2 p when two letters picked without replacement from {h: 1, p: 2, r: 1, o: 2}.
1/15
Three letters picked without replacement from aacaacaaaac. What is prob of picking 1 c and 2 a?
28/55
Two letters picked without replacement from aktkkkkkkkk. What is prob of picking 1 t and 1 k?
9/55
What is prob of picking 1 c and 2 t when three letters picked without replacement from ipqccictccitiq?
5/364
Four letters picked without replacement from eekekdfeefdefke. What is prob of picking 2 e and 2 k?
3/65
Calculate prob of picking 2 y and 2 w when four letters picked without replacement from {z: 4, o: 1, w: 4, b: 1, y: 4, a: 3}.
9/595
Three letters picked without replacement from {i: 1, f: 1, o: 2, z: 1, l: 1, y: 1}. Give prob of picking 1 y, 1 f, and 1 o.
2/35
Calculate prob of picking 4 t when four letters picked without replacement from tttttt.
1
What is prob of picking 1 x, 1 v, and 1 f when three letters picked without replacement from {x: 12, v: 5, f: 2}?
40/323
Calculate prob of picking 2 o when two letters picked without replacement from yoojmmoomymygjbjb.
3/68
Two letters picked without replacement from dkdddddtdddkkddd. Give prob of picking 2 d.
11/20
What is prob of picking 1 y and 1 s when two letters picked without replacement from yjuusjupjlllyyplj?
3/136
Three letters picked without replacement from {q: 1, m: 6, c: 1, s: 2, j: 6, p: 2}. What is prob of picking 1 c and 2 p?
1/816
Two letters picked without replacement from {q: 3, d: 4, r: 2, b: 2}. Give prob of picking 1 r and 1 d.
8/55
Calculate prob of picking 1 x, 1 j, and 1 i when three letters picked without replacement from yixjo.
1/10
Two letters picked without replacement from fdfffdf. What is prob of picking 2 d?
1/21
Four letters picked without replacement from {t: 1, p: 5, g: 3, r: 6}. What is prob of picking 1 r and 3 g?
2/455
Calculate prob of picking 1 h and 1 q when two letters picked without replacement from {x: 4, h: 6, v: 3, q: 1}.
6/91
Two letters picked without replacement from iizycz. What is prob of picking 1 z and 1 i?
4/15
Calculate prob of picking 1 l and 1 f when two letters picked without replacement from {r: 3, q: 3, l: 5, f: 1, w: 1}.
5/78
Two letters picked without replacement from {l: 2, z: 7, u: 4, a: 4, c: 1, y: 1}. Give prob of picking 2 z.
7/57
Three letters picked without replacement from {h: 2, b: 16}. What is prob of picking 3 b?
35/51
What is prob of picking 1 p and 3 w when four letters picked without replacement from {w: 5, p: 9}?
90/1001
Two letters picked without replacement from ldsdhclhljh. Give prob of picking 1 s and 1 h.
3/55
Four letters picked without replacement from sbbsbsbsbbbs. What is prob of picking 2 b and 2 s?
14/33
Four letters picked without replacement from ppsipsiissps. What is prob of picking 1 p, 2 s, and 1 i?
8/33
Two letters picked without replacement from {q: 14, m: 5}. What is prob of picking 1 m and 1 q?
70/171
Two letters picked without replacement from {l: 2, w: 3}. What is prob of picking 1 l and 1 w?
3/5
What is prob of picking 2 c when two letters picked without replacement from cczcczzcczcz?
7/22
Calculate prob of picking 3 b when three letters picked without replacement from bbbbbb.
1
Two letters picked without replacement from {g: 3, p: 1, q: 2, n: 1, f: 6}. Give prob of picking 1 g and 1 p.
1/26
Two letters picked without replacement from {c: 1, j: 2, q: 2, a: 3, w: 3, k: 1}. Give prob of picking 1 j and 1 k.
1/33
What is prob of picking 1 m and 2 e when three letters picked without replacement from memmemvevvmv?
3/44
Two letters picked without replacement from {u: 1, w: 1, j: 1, a: 1, k: 1}. Give prob of picking 1 a and 1 w.
1/10
Calculate prob of picking 1 b and 2 x when three letters picked without replacement from {p: 4, k: 3, b: 1, x: 2}.
1/120
What is prob of picking 1 h and 1 t when two letters picked without replacement from zhmzhqhhqt?
4/45
Four letters picked without replacement from sdcshplpc. What is prob of picking 1 d, 2 s, and 1 c?
1/63
Two letters picked without replacement from hopphpphpphppppphppp. What is prob of picking 1 o and 1 h?
1/38
Three letters picked without replacement from {m: 10, u: 2}. Give prob of picking 3 u.
0
What is prob of picking 1 l, 1 r, and 1 o when three letters picked without replacement from {r: 4, l: 5, p: 4, j: 1, o: 3, h: 1}?
5/68
Three letters picked without replacement from idhviriiiiibdihbib. Give prob of picking 1 b, 1 d, and 1 h.
1/68
Calculate prob of picking 2 e when two letters picked without replacement from {h: 1, r: 1, q: 5, e: 1, c: 2}.
0
Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, o: 2, q: 1, h: 1}.
1/15
What is prob of picking 2 g and 2 h when four letters picked without replacement from {g: 9, h: 2}?
6/55
Four letters picked without replacement from hehsehhseeheessee. What is prob of picking 1 e and 3 s?
8/595
What is prob of picking 1 l and 2 g when three letters picked without replacement from fjglxccgxxc?
1/165
What is prob of picking 1 x and 2 t when three letters picked without replacement from kxcttc?
1/20
Three letters picked without replacement from wggnwggw. Give prob of picking 3 g.
1/14
What is prob of picking 2 b, 1 y, and 1 i when four letters picked without replacement from {i: 1, y: 1, l: 1, b: 2}?
1/5
Two letters picked without replacement from ooiioojoujiioo. What is prob of picking 1 j and 1 o?
2/13
What is prob of picking 1 x and 2 n when three letters picked without replacement from nvnvvvvxvnvvnnnvvvx?
10/323
What is prob of picking 2 l and 2 x when four letters picked without replacement from hpxhlliiilhlixhhixxh?
12/1615
Four letters picked without replacement from {l: 4, f: 2}. What is prob of picking 2 l and 2 f?
2/5
Four letters picked without replacement from wwvvwvwwwvvvpwvbv. What is prob of picking 3 v and 1 p?
2/85
Two letters picked without replacement from yutuvtyuuttiutt. What is prob of picking 2 u?
2/21
Four letters picked without replacement from suvzvyuvzu. What is prob of picking 1 z, 2 v, and 1 u?
3/35
What is prob of picking 2 l and 2 k when four letters picked without replacement from {k: 7, l: 2}?
1/6
What is prob of picking 4 k when four letters picked without replacement from {z: 4, k: 10}?
30/143
Calculate prob of picking 2 g when two letters picked without re | {
"pile_set_name": "DM Mathematics"
} |
n d is divided by 49.
47
Suppose -5*b = f - 4283, -133*b - 4*f - 3436 = -137*b. What is the remainder when b is divided by 5?
2
Suppose 487 = 6*v + 19. What is the remainder when (-52)/v - (-7)/(-3)*-23 is divided by ((-44)/8)/(1/(-2))?
9
Let c(s) = -s**2 - 16*s - 29. Suppose -2*b + 223 = 67. Let t = 69 - b. Calculate the remainder when c(t) is divided by 12.
10
Let n = -2026 + 2186. Calculate the remainder when n is divided by 17.
7
Suppose 3*x - 3*w + 0*w - 21 = 0, 5*x + w = 23. What is the remainder when (-1877)/(-9) + (2552/198)/29 is divided by x?
4
Suppose 15*s - 85*s + 10010 = 0. What is the remainder when 706 is divided by s?
134
Let x(v) = v**3 - 6*v**2 - 2*v + 5. Let k(w) = -31*w**3 + w**2 + w - 1. Let i be k(-1). Suppose -i = 2*h - 7*h. What is the remainder when x(7) is divided by h?
4
Let s(p) = p**2 + 7*p + 5. Let r be s(-7). Suppose -l - 2*g = -54, -2*l - 56 + 169 = r*g. Suppose 2*y = y + l. What is the remainder when y is divided by 9?
8
Let d be (17/2 + -8)*4. Suppose 4*y - 4*m = 48, y + 4*m - 20 = d. Calculate the remainder when 37 is divided by y.
9
Let k be 54/8 + 2/8 + -22. Let w = 43 + -16. Let d = w + k. What is the remainder when 42 is divided by d?
6
Suppose -3*o + 4*o - 251 = 0. Let v(m) = 39*m - 96. What is the remainder when o is divided by v(3)?
20
Calculate the remainder when 239 is divided by 4 + -19 + (-1725)/(-25).
23
Let k = 5 - -1. Suppose -192*x + 196*x = -v + 28, v - 28 = -3*x. Calculate the remainder when v is divided by k.
4
Let p be (48/(-10))/(76/(-190)). Suppose p*c - 5472 = -6*c. What is the remainder when c is divided by 18?
16
Suppose -4849 = 18*g - 2487 - 2740. Calculate the remainder when 367 is divided by g.
10
Let j(m) = -82*m**2 - 11*m + 11. Let y be j(1). Let l = y + 91. What is the remainder when 106 is divided by l?
7
Let t be 61/7 + 32/112. Let j(s) = s**2 - 4*s - 10. Calculate the remainder when 174 is divided by j(t).
34
Let x = 5978 - 5088. Calculate the remainder when x is divided by 33.
32
Let n(s) = 32*s**3 - 14*s**2 + 30*s - 95. Calculate the remainder when n(6) is divided by 29.
26
Let x = -84 + 83. Let s be -103 + (0 + -1)*x. Let p = s + 104. Calculate the remainder when 5 is divided by p.
1
Let q(j) = 8*j + 415. Let c be 21 + -3 - (-1 + 3). Suppose -t + 2*t = -n + c, 5*n = 0. What is the remainder when q(-46) is divided by t?
15
Let c(q) = 5*q - 43. Suppose -3*y - 65 = 187. Calculate the remainder when c(11) is divided by y/(-18)*6/4.
5
Let f(o) = o**2 - 7*o - 10. Let z(l) = l + 4. Let b be z(8). Let g(s) = 2*s**2 - 8*s + 5. Calculate the remainder when f(b) is divided by g(5).
5
Suppose 0 = -40*r - 125 + 756 + 249. What is the remainder when 3185 is divided by r?
17
Suppose 5*a + 3*i = -2, -9*a + 4*a + 3*i + 22 = 0. Suppose -5*x - 3*z + 525 = -z, 3*x + a*z = 315. What is the remainder when x is divided by 9?
6
Let u = -810 - -1086. Calculate the remainder when 5530 is divided by u.
10
Suppose 9*z = 482 + 238. Suppose 7*n = 165 + z. What is the remainder when n is divided by 19?
16
Suppose -i - 4 = 8. Suppose -5*j = -3*z - 418, -2*j - 4*z + 187 = -27. What is the remainder when j is divided by (-45)/i*(1 - -3)?
14
Suppose -563 + 37 = -4*a + 190. Calculate the remainder when 515 is divided by a.
157
Suppose 3*j = 25 - 10. Let y(t) = t**3 + t**2 - 3*t - t**3 + 3*t**3 + 0 + j. Calculate the remainder when y(2) is divided by 7.
6
Suppose 5*d + 2*c - 17 - 61 = 0, 4*d - 59 = -5*c. Calculate the remainder when 2207 is divided by d.
15
Let c = -56 + 46. Let v be 16/40 - 36/c. Suppose 0 = -6*b + v*b + 52. What is the remainder when 129 is divided by b?
25
Let y = 1238 - 1184. What is the remainder when 212 is divided by y?
50
Suppose 0 = 261*x + 343 - 23833. Let b = -18 - -42. What is the remainder when x is divided by b?
18
Suppose -6 = -2*v - 3*h, -h + 4 - 10 = -2*v. Suppose -v*k = -2*r - 172, 13*k - 15*k + 123 = -3*r. What is the remainder when k is divided by 7?
5
Suppose -4*v = 6*h - 2*h - 16, 3*h - 15 = -2*v. Let s(l) = 2*l**3 - 10*l**2 - 15*l - 11. Calculate the remainder when 479 is divided by s(h).
79
Let s = 2 + -4. Calculate the remainder when (-5 - 2)*-43 + 8/s is divided by 101.
95
Let i(c) = -8*c - 38. Suppose -437*l + 336 = -416*l. What is the remainder when i(-9) is divided by l?
2
Suppose 28*k + 16*k = 266*k - 5106. Let h = -9 - -122. What is the remainder when h is divided by k?
21
Suppose 0 = -n + s + 686 + 1288, -2*s = -3*n + 5919. Calculate the remainder when n is divided by 42.
39
Let m(x) = 19*x**2 - 56*x + 285. Calculate the remainder when m(6) is divided by 31.
13
Suppose -172*i = -74757 - 13479. Calculate the remainder when i is divided by 85.
3
Let g(s) = 4*s**2 + 13*s - 30. Let j be g(-5). Calculate the remainder when 76 is divided by (-4)/16*-148 + j.
34
Suppose -116*i - 12 = -119*i, -5*s = i - 1179. Calculate the remainder when s is divided by 67.
34
Suppose -41*i + 371 = -121. Suppose -i*k + 18*k = 2154. Calculate the remainder when k is divided by 8.
7
Suppose -4*f - f - 20 = -5*h, 4*f + 14 = 3*h. Suppose v = -0*v + 12. Calculate the remainder when (-17 - -18)*-11*h*-1 is divided by v.
10
Let v be (-530)/(-6) - 4 - 2/6. Suppose 7*t = 9*t - v. Calculate the remainder when 249 is divided by t.
39
Suppose -101*t = -57*t - 396. Suppose t = 4*c + 5, -123 = -3*o - 3*c. Calculate the remainder when o is divided by 26.
14
Suppose 58 = -17*i + 262. Suppose 2*v - 40 = i*v. Calculate the remainder when 86 is divided by (-181)/v + 15/(-60).
41
Let t = -25 + -52. Let f = 96 + t. Calculate the remainder when f is divided by 5.
4
Suppose 4*n = -24, -301*y + 298*y + 54 = -3*n. Calculate the remainder when 609 is divided by y.
9
Let a(w) = -69*w**2 - 11*w - 40. Let o be a(-3). Let j = o + 641. What is the remainder when j is divided by 5?
3
Suppose -23 = 2*l - 25. Calculate the remainder when 1/((-3)/(-27)) - 3 is divided by l.
0
Let c be (518/(-35))/(3*3/(-135)). Let y = c + -117. What is the remainder when y is divided by 40?
25
Suppose -4 = -3*p - 4*a + 7, -4*p + 4*a + 24 = 0. Suppose 4*r + s = 1 + 6, 3*s - p = -4*r. Let b = 15 - 8. Calculate the remainder when b is divided by r.
1
Suppose 4 = 1410*q - 1406*q. What is the remainder when 234 is divided by q?
0
Suppose -2*d - 778 = -4*f, 3*f - 2*d - 239 = 342. Let t = 254 - f. Calculate the remainder when 184 is divided by t.
13
What is the remainder when 801 is divided by (-4)/(-14) - (-2 + (-14913)/63)?
84
Let z be ((-52)/(-10))/((-11)/(-330)). Suppose -z = -0*x - 4*x. Calculate the remainder when (1 - 3) + -3 + (6 - -153) is divided by x.
37
Let c = -507 - -513. Calculate the remainder when 62 is divided by (1 + c)/(-10*10/(-300)).
20
Let p be -7 - -2 - (-7 + 7). Let z be ((-5)/(-3))/(p/(-240)). Suppose z = r - 2*j, -2*j = -r - 5*j + 85. Calculate the remainder when r is divided by 28.
26
Suppose -10810 = -30*t + 11960. Suppose t = -28*s + 39*s. Calculate the remainder when s is divided by 8.
5
Suppose 65*w - 76797 = 44*w - 48*w. What is the remainder when w is divided by 331?
120
Suppose 108*s - 79*s - 5916 = 0. What is the remainder when 843 is divided by s?
27
Suppose 0 = r - 2*r + 2*q, -4*q = 5*r - 28. Suppose 0 = f - 3, -r*a + f + 312 = -3*f. Suppose -3 = -5*b + 207. Calculate the remainder when a is divided by b.
39
Let a = 48485 + -48433. Calculate the remainder when 1756 is divided by a.
40
Let p(t) = -4*t + 24. Let f be p(-12). Suppose -5*u = -f - 23. Suppose 0*s - m - 136 = -2*s, 3*m = 6. What is the remainder when s is divided by u?
12
Let z(v) = v**2 - 4*v + 8. Let p be (1 + 6)*2/2. Suppose -577*r - 46 = -579*r - 5*g, -r - g + 14 = 0. Calculate the remainder when z(p) is divided by r.
5
Let o = 181 + -166. Suppose 3*l = 6, -5*l + 65 + 63 = 2*y. What is the remainder when y is divided by o?
14
Suppose 26*b = -12*b + 494. Calculate the remainder when 86 is divided by b.
8
Let t(a) = a**3 - 2*a**2 - 6*a + 25. Let w be t(9). Suppose -13*r + w = -749. Calculate the remainder when r is divided by 25.
24
Let z = -23 - -27. Suppose 2*a - r - 26 = z*r, -3*a + 29 = -5*r. Suppose 123 = a*y + 2*i, -3*y + 71 = -y + 5*i. Calculate the remainder when 83 is divided by y.
40
Calculate the remainder when 1067 is divided by 1*(-10 + 61 + 0 + (-8)/4).
38
Let k(d) = -4*d**3 + 2*d**2 + 3*d + 2. Let p be k(-1). Suppose -9*c + | {
"pile_set_name": "DM Mathematics"
} |
5, 125, 2, -0.4, -3?
-0.4
Which is the second biggest value? (a) 8 (b) 2/3 (c) -1 (d) 0.4
b
Which is the biggest value? (a) -5 (b) -1 (c) -8/3 (d) -0.97
d
What is the third biggest value in -100, -2/15, 0.07?
-100
Which is the fourth biggest value? (a) 7 (b) -6/5 (c) -0.3 (d) 1/4 (e) 4
c
What is the second smallest value in 3, 0.1, 3.4, 3/4?
3/4
Which is the third biggest value? (a) -2.721 (b) 0 (c) 0.1
a
Which is the fifth smallest value? (a) 2/15 (b) 5/2 (c) -15.6 (d) 5 (e) 4
d
Which is the fourth smallest value? (a) -1 (b) 0.4 (c) -19.7 (d) -5
b
Which is the smallest value? (a) -1 (b) -6 (c) 183
b
What is the second biggest value in -4, -3, -3/413?
-3
What is the smallest value in 12, -25, -0.4?
-25
What is the biggest value in 17.5, 0, 1/3, 2/3, 0.5?
17.5
Which is the third biggest value? (a) 0.01 (b) -3/134 (c) 0 (d) 1/8 (e) 0.5
a
What is the third smallest value in 2/9, -1/3, 2/7, 0.4?
2/7
Which is the second smallest value? (a) 3/7 (b) 1/7 (c) -0.4 (d) 31
b
Which is the second biggest value? (a) -2.7 (b) 2/3 (c) -306
a
Which is the biggest value? (a) -3 (b) -3/4 (c) 24.63
c
Which is the fourth smallest value? (a) 1/7 (b) 0.1 (c) 0.3 (d) -0.3
c
Which is the fourth smallest value? (a) 0.2 (b) 4/7 (c) 2 (d) -0.4 (e) 1175
c
Which is the biggest value? (a) 2/7 (b) 4 (c) -0.1 (d) 2/9
b
What is the second smallest value in -0.09, -0.013, -5?
-0.09
Which is the biggest value? (a) 1/5 (b) 2 (c) -2.1 (d) 1/4
b
What is the second biggest value in -1/114, 2/3, 0.3?
0.3
What is the third biggest value in 0.22, -0.2, 0.7?
-0.2
Which is the third smallest value? (a) 0.2 (b) -0.3 (c) 13
c
Which is the second smallest value? (a) -5 (b) 63 (c) 4
c
What is the smallest value in -1, 2/13, 0.3, 3, -3/4?
-1
Which is the smallest value? (a) -7 (b) 11 (c) 0
a
Which is the third smallest value? (a) 0 (b) 3.9 (c) -4
b
What is the fourth biggest value in 2/23, 5, -8, -0.1?
-8
What is the second biggest value in 1.19, 1/3, 0.3?
1/3
Which is the fourth biggest value? (a) 1 (b) -4 (c) -17/16 (d) -0.1
b
What is the third biggest value in -30, 2/7, 0.4, -2?
-2
What is the second smallest value in -7, -0.2, -18?
-7
What is the biggest value in -2/7, -4, -0.062, -1/2?
-0.062
Which is the smallest value? (a) -35 (b) -0.5 (c) 2
a
Which is the fourth smallest value? (a) 2/17 (b) 0.4 (c) 5 (d) -0.07 (e) -5
b
What is the biggest value in 8, 0.5, 0.6?
8
What is the third smallest value in -5, -6/5, -0.02, -9?
-6/5
Which is the fourth biggest value? (a) -1 (b) -44 (c) -6 (d) -0.3
b
What is the fourth smallest value in 27/5, -0.2, 2, 1?
27/5
Which is the third biggest value? (a) -3/8 (b) -3 (c) 0.6 (d) 0.055
a
What is the second smallest value in -1/2, 4, -34/77?
-34/77
What is the second smallest value in 0.2, 24, -60?
0.2
Which is the third smallest value? (a) 2 (b) 2/7 (c) 1/4
a
What is the fourth smallest value in 1.1, -1, -3, 18?
18
Which is the third smallest value? (a) -2 (b) -13.1 (c) -5
a
Which is the fourth biggest value? (a) -0.2 (b) -2/7 (c) -19 (d) 6 (e) 3
b
Which is the fourth smallest value? (a) 0.3 (b) -0.07 (c) 0.15 (d) -2
a
Which is the biggest value? (a) -0.4 (b) 2/531 (c) -0.2
b
Which is the second biggest value? (a) 0.03 (b) 4 (c) -654
a
Which is the fourth smallest value? (a) -0.1 (b) -0.24 (c) 3 (d) 0.4
c
Which is the third smallest value? (a) -0.02 (b) -0.3 (c) -1/22 (d) 1
a
Which is the biggest value? (a) 1472 (b) 1 (c) 2/5
a
Which is the smallest value? (a) -0.3 (b) -2 (c) 52 (d) 2 (e) 0.1
b
What is the third biggest value in 1, 0.3, -0.04, -7?
-0.04
What is the smallest value in -4, -0.4, -2/15, -3/35, -0.1?
-4
What is the fourth smallest value in 3, 0, 137, 5?
137
Which is the third smallest value? (a) -2/3 (b) 0.1 (c) -9 (d) 15
b
Which is the fourth smallest value? (a) 0.3 (b) -3/11 (c) 0 (d) -0.1
a
What is the smallest value in -3, -1, -35/8, 1/4?
-35/8
What is the third smallest value in 5, -0.2, 2/5, 7.2?
5
Which is the second smallest value? (a) 3/2 (b) -3/2 (c) 0.124
c
Which is the third smallest value? (a) -1 (b) -4 (c) 38
c
What is the second biggest value in 3/7, -9, -3/7, -1/4?
-1/4
What is the third smallest value in -0.3, -1/79, -3?
-1/79
What is the third biggest value in 1/7, 5/71, -2?
-2
Which is the biggest value? (a) -2/9 (b) -5 (c) 13 (d) -6
c
What is the fourth biggest value in -2, -5, -2/51, 2.8?
-5
What is the biggest value in -0.1, 0.3, 0.44, 2/11?
0.44
Which is the second smallest value? (a) -22 (b) -10 (c) -2
b
Which is the fourth biggest value? (a) 5/3 (b) -2 (c) -1/4 (d) 2/9
b
Which is the fourth smallest value? (a) 2 (b) 1/7 (c) 2/9 (d) -304 (e) 4
a
Which is the smallest value? (a) 8/73 (b) 2 (c) 3
a
What is the fifth smallest value in -20, -0.3, -0.1, 16, -4/3?
16
Which is the fifth smallest value? (a) 0.3 (b) -0.3 (c) -13 (d) -5 (e) -0.1
a
Which is the third smallest value? (a) -4 (b) 4 (c) -94 (d) 2/9 (e) 0
e
What is the second biggest value in 1/7, 0, 2/69?
2/69
What is the biggest value in 37.3, -1/4, -1/5?
37.3
Which is the biggest value? (a) 81 (b) -0.18 (c) 2/15
a
Which is the smallest value? (a) -2 (b) 5/3 (c) 7 (d) 4
a
What is the smallest value in 2, -8/55, 1?
-8/55
Which is the fourth smallest value? (a) 2/13 (b) 1/20 (c) 0.01 (d) 5
d
Which is the third biggest value? (a) 3 (b) -2 (c) 1.7
b
Which is the second biggest value? (a) 5/12 (b) 0.4 (c) 0.5
a
What is the smallest value in -16, 3/38, 0.4?
-16
What is the second smallest value in -0.05, 6, 1/2, -2/9?
-0.05
Which is the second smallest value? (a) 0 (b) -2 (c) -5 (d) -1/8 (e) 4/9
b
What is the smallest value in -2, -0.204, 4?
-2
Which is the third biggest value? (a) 4 (b) 3 (c) -4 (d) 5/4 (e) -45
d
Which is the second smallest value? (a) 0.1 (b) -1 (c) -11.8
b
What is the second biggest value in 2/99, 1, 0.3?
0.3
What is the smallest value in 2, -0.5, -3, -0.023?
-3
Which is the third biggest value? (a) 104 (b) 9 (c) -9
c
What is the third smallest value in -3, 0, 0.4?
0.4
Which is the second biggest value? (a) -5 (b) 0 (c) 5/62 (d) -4
b
Which is the third smallest value? (a) -1 (b) -1/8 (c) 3/4 (d) 0 (e) -0.5
b
Which is the fourth biggest value? (a) 3 (b) 0 (c) -5 (d) 0.046
c
What is the second biggest value in -605, -0.2, 0.2, 0.3?
0.2
Which is the biggest value? (a) 33 (b) 1 (c) 2/7 (d) -0.1
a
Which is the second smallest value? (a) 2 (b) -5 (c) 3 (d) 4 (e) -2/5
e
What is the biggest value in 4, 1/3, 361, 2?
361
What is the second biggest value in -3, -7, 2/3, -74?
-3
What is the smallest value in -5, 1, 4/7, -11, 0.4?
-11
Which is the fourth biggest value? (a) 2 (b) -3 (c) 0.3 (d) -6
d
What is the fifth biggest value in 5/3, 1/8, 1/5, -28, -5?
-28
Which is the fourth smallest value? (a) 0.7 (b) -0.5 (c) 4 (d) -0.4 (e) 21
c
What is the second biggest value in -2/7, 0.59, -1/5, -4?
-1/5
Which is the second biggest value? (a) -3 (b) -1 (c) 4 (d) 203
c
Which is the biggest value? (a) 0.06 (b) -13 (c) -2/5 (d) 0.2
d
Which is the biggest value? (a) -1.14 (b) -1/2 (c) -4
b
Which is the third smallest value? (a) 2 (b) -3 (c) 0.12 (d) 1 (e) -0.1
c
What is the smallest value in 2/13, -1.2, -105?
-105
Which is the smallest value? (a) 8 (b) 2/3 (c) 0.43
c
Which is the third biggest value? (a) -18 (b) 0.3 (c) 43
a
What is the fourth smallest value in 1/4, -111, -0.5, -5?
1/4
Which is the third biggest value? (a) -1/6 (b) -0.3 (c) -2 (d) -3
c
Which is the second biggest value? (a) -5/2 (b) 257 (c) -2/15
c
Which is the second biggest value? (a) 6 (b) 0.9 (c) 3
c
Which is the second biggest value? (a) 49 (b) 13 (c) 4
b
What is the fourth biggest value in -51, 1/9, 2, 1/7?
-51
What is the third biggest value in 18/7, 0.5, 10?
0.5
What is the second biggest value in -3, -4, 3/4, -6/7?
-6/7
What is the third smallest value in -2/43, -1/7, 0, -2/7?
-2/43
What is the second smallest value in 14, -13, 2?
2
What is the third biggest value in 3173, 2, 0.3, -0.3?
0.3
Which is the third smallest value? (a) -2 (b) -39 (c) 0
c
Which is the third smallest value? (a) -1853 (b) -0.4 (c) 1
c
What is the thir | {
"pile_set_name": "DM Mathematics"
} |
173
In base 13, what is 51 + 3?
54
In base 12, what is -2 + -24?
-26
In base 9, what is 326 - -3?
330
In base 3, what is 10121020 - 11?
10121002
In base 13, what is 44 + -1?
43
In base 7, what is -123 - -64?
-26
In base 14, what is 7 - 37?
-30
In base 3, what is 11 + -211011?
-211000
In base 10, what is 30 - -2?
32
In base 15, what is 2 - -90?
92
In base 16, what is -382 - 3?
-385
In base 10, what is -36 - -2?
-34
In base 8, what is -36 - 12?
-50
In base 3, what is 2 + 2011?
2020
In base 16, what is 38 - -7?
3f
In base 8, what is 157 - 4?
153
In base 2, what is 10111 - 1011?
1100
In base 15, what is 22 + -ac?
-8a
In base 16, what is -4 + a7?
a3
In base 9, what is 2180 + 3?
2183
In base 7, what is 1 + -23?
-22
In base 12, what is -7 + 872?
867
In base 13, what is -1 + -4a?
-4b
In base 7, what is -1120 - -2?
-1115
In base 13, what is -3 + -6c2?
-6c5
In base 12, what is -75 + 2?
-73
In base 2, what is -1001 - 11001000001?
-11001001010
In base 10, what is 5 - -452?
457
In base 14, what is 5 + 40?
45
In base 5, what is -1 + 210?
204
In base 5, what is 2230 + -10?
2220
In base 5, what is -3 - 220?
-223
In base 6, what is 34 + -45?
-11
In base 15, what is 49a + -6?
494
In base 4, what is -2313 + -133?
-3112
In base 10, what is 4 + 9?
13
In base 2, what is -100 - 1010111110?
-1011000010
In base 15, what is -87 - -3?
-84
In base 10, what is 2 - 164?
-162
In base 8, what is 3515 + 4?
3521
In base 8, what is -1356 + 0?
-1356
In base 2, what is 11 + 10000010?
10000101
In base 15, what is -db + 4?
-d7
In base 7, what is 13 + -161?
-145
In base 2, what is 100111011 + -100?
100110111
In base 16, what is -41 + -30?
-71
In base 3, what is 2010002 - -20?
2010022
In base 11, what is -49 - 3?
-51
In base 3, what is 201220 - 2?
201211
In base 9, what is 668 - -5?
674
In base 11, what is 303 + 4?
307
In base 3, what is -1022120 + -22?
-1022212
In base 2, what is -111111 + 1?
-111110
In base 11, what is -1446 + 5?
-1441
In base 13, what is -1 + -649?
-64a
In base 14, what is 35 + 1?
36
In base 10, what is 3 + 29?
32
In base 8, what is 120022 + 5?
120027
In base 13, what is -3 - -107?
104
In base 10, what is -17 + 287?
270
In base 12, what is -3 + -3909?
-3910
In base 15, what is -196 + -4b?
-1e2
In base 2, what is 110010001110 + -10?
110010001100
In base 2, what is -1011 - -10?
-1001
In base 10, what is -586 + 5?
-581
In base 4, what is 21 + -1200?
-1113
In base 3, what is 10 - 1022110?
-1022100
In base 5, what is 230032 + 10?
230042
In base 15, what is -2 + 280?
27d
In base 13, what is 3 - -77?
7a
In base 9, what is -311 - -3?
-307
In base 5, what is -22 + 20?
-2
In base 10, what is -6507 - -1?
-6506
In base 5, what is 20 + 1?
21
In base 7, what is 4 - -1001?
1005
In base 7, what is 504 - -12?
516
In base 2, what is 10001111101 + 10?
10001111111
In base 2, what is 100001110011110 - -10?
100001110100000
In base 12, what is 31 - 8?
25
In base 4, what is -203 + 23?
-120
In base 7, what is 0 + -301?
-301
In base 10, what is -38 + 4?
-34
In base 14, what is 9c + 9?
a7
In base 9, what is 564 - -10?
574
In base 7, what is -355 - -30?
-325
In base 11, what is -2a09 + 4?
-2a05
In base 13, what is -9 + 12c?
123
In base 6, what is 30 + 0?
30
In base 15, what is c - c?
0
In base 8, what is 3 + -50?
-45
In base 15, what is 5 + -10?
-a
In base 4, what is 12102011 - 10?
12102001
In base 10, what is -3 + -53?
-56
In base 14, what is 4b - -c?
59
In base 9, what is -2 + -1251?
-1253
In base 5, what is -10 - -24?
14
In base 13, what is 2b0 + -6?
2a7
In base 9, what is -3 - 1067?
-1071
In base 8, what is 7 + 7?
16
In base 2, what is -100011 + -1001000?
-1101011
In base 9, what is 115 + 0?
115
In base 11, what is -4 + -217?
-220
In base 11, what is -1 + -80?
-81
In base 13, what is 3 - -72?
75
In base 12, what is -8ab - -4?
-8a7
In base 8, what is -1 + 7?
6
In base 16, what is 5e9 + -3?
5e6
In base 12, what is 6 + 175?
17b
In base 16, what is 3 - 3a?
-37
In base 15, what is -1d2 - 5?
-1d7
In base 7, what is -12 + -103?
-115
In base 7, what is 5 + -21?
-13
In base 5, what is 32 - 11420?
-11333
In base 9, what is -5841 + -5?
-5846
In base 9, what is 136 + 73?
220
In base 5, what is -10 - -303?
243
In base 2, what is -1110 - -101?
-1001
In base 4, what is 11 - 23202?
-23131
In base 4, what is 23200 - 0?
23200
In base 8, what is 2 + 433?
435
In base 12, what is 0 - -48?
48
In base 15, what is 0 + -16b?
-16b
In base 14, what is 303 - 0?
303
In base 4, what is -10320 + -103?
-11023
In base 2, what is 1 - 1110?
-1101
In base 5, what is 1 - -230?
231
In base 9, what is -120 - -2?
-117
In base 13, what is a - 45?
-38
In base 14, what is 1b - -8d?
aa
In base 12, what is -5 + -136b?
-1374
In base 4, what is 3 - 113230?
-113221
In base 5, what is 21 - -23423?
23444
In base 13, what is -2b37 - 1?
-2b38
In base 9, what is -5 + -51?
-56
In base 2, what is -100 - 10011000?
-10011100
In base 14, what is -2 - a9?
-ab
In base 8, what is -166 + -3?
-171
In base 8, what is 116 - 4?
112
In base 6, what is 1012 + 4?
1020
In base 11, what is 1 + 20?
21
In base 9, what is 81 - -176?
267
In base 16, what is 5 + -1a2?
-19d
In base 7, what is 14 - -20?
34
In base 15, what is c6 - -28?
ee
In base 4, what is 10 + 1310?
1320
In base 6, what is 3 - -10053?
10100
In base 4, what is -11 - 1002?
-1013
In base 9, what is -170 - 66?
-246
In base 16, what is -16d + 0?
-16d
In base 6, what is 2002 + -1?
2001
In base 13, what is 0 + -64?
-64
In base 3, what is -1011012 + -12?
-1011101
In base 2, what is -11000 - 101?
-11101
In base 3, what is -11 - 20012?
-20100
In base 16, what is -236 + -3?
-239
In base 12, what is 2b02 + -5?
2ab9
In base 9, what is -666 - 0?
-666
In base 16, what is -59 - -14?
-45
In base 7, what is -4 + -31?
-35
In base 11, what is 2 + 15?
17
In base 10, what is 920 + 5?
925
In base 6, what is -25 - -11?
-14
In base 2, what is 101 - -11100101?
11101010
In base 15, what is -1d - -98?
7a
In base 3, what is -10211 - 11?
-10222
In base 8, what is 153 - -5?
160
In base 4, what is 10123 + -3?
10120
In base 3, what is -2 - -11102?
11100
In base 3, what is 1 - -1222?
2000
In base 11, what is -191 - -28?
-164
In base 14, what is -6 - 146?
-14c
In base 7, what is 10 + 242?
252
In base 6, what is -150 + -2?
-152
In base 5, what is 44 - 1432?
-1333
In base 13, what is -44b + 2?
-449
In base 8, what is -2 + -52?
-54
In base 4, what is 13 - 30?
-11
In base 7, what is -4 - -1136?
1132
In base 10, what is 48 - -17?
65
In base 4, what is 10101 + -1?
10100
In base 14, what is -2b0 - -4?
-2aa
In base 6, what is -23 - -2?
-21
In base 15, what is -705 - 2?
-707
In base 11, what is 2 + 14?
16
In base 7, what is -134 - 4?
-141
In base 7, what is -3 - -463?
460
In base 3, what is 12 - 1121?
-1102
In base 14, what is 185 + -5?
180
In base 12, what is 80 + 4?
84
In base 9, what is 0 + 87?
87
In base 11, what is a37 + -5?
a32
In base 13, what is 0 + b4?
b4
In base 8, what is 5 - -33?
40
In base 8, what is 2706 - 2?
2704
In base 2, what is -101 - -11101000?
11100011
In base 6, what is 2 + 201?
203
In base 12, what is -a5 + -4?
-a9
In base 9, what is 10 - 41?
-31
In base 10, what is -146 - 3?
-149
In base 8, what is 2 - -66?
70
In base 16, what is -47a + 1?
-479
In base 4, what is 212012 + -1?
212011
In base 8, what is -1253 - 3?
-1256
In base 15, what is -6 - -58a?
584
In base 4, what is -1012 + -112?
-1130
In base 8, what is 3 - 3303?
-3300
In base 2, what is -1001 + 1011?
10
In base 6, what is 400 - -45?
445
In base 8, what is 366 + 3?
371
In base 5, what is -2100331 + -10?
-2100341
In base 7, what is -1032 + -65?
-1130
In base 10, what is -54 + 8?
-46
In base 5, what is 1022 - -103?
1130
In base 15, what is 34 + 8?
3c
In base 14, what is 46 - 6?
40
In base 4, what is 103 + 12?
121
In base 8, what is -3 - 114?
-117
In base 16, what is -205 - 1?
-206
In base 3, what is -101 + 1000000?
222122
In base 5, what is 42042 + 4?
42101
In base 11, what is -22 - 167?
-189
In base 9, what is -158 + 44?
-114
In base 8, what is 106 - -305?
413
In base 6, what is 135 - -4?
143
In base 7, what is -3 - 13?
-16
In base 10, what is -5 - 101?
-106
In base 7, what is -24514 + 0?
-24514
In base 6, what is 2301 - -5?
2310
In base 15, what is b36 + 2?
b38
In base 6, what is 11540 - -3?
11543
In base 4, what is 10 - 31?
-21
In base 15, what is 54 - | {
"pile_set_name": "DM Mathematics"
} |
*u + 2765952 = 0.
-588, 2
Solve -2*d**5/13 + 456*d**4/13 + 920*d**3/13 + 4*d**2/13 - 918*d/13 - 460/13 = 0 for d.
-1, 1, 230
Factor 2*q**2/9 + 1196*q/9 - 800/3.
2*(q - 2)*(q + 600)/9
Determine n so that -3*n**3 - 54*n**2 - 243*n = 0.
-9, 0
Solve -s**4/3 + s**3/3 + 6*s**2 - 52*s/3 + 40/3 = 0.
-5, 2
Solve -2*o**2 - 7012*o - 6146018 = 0 for o.
-1753
Find r such that 9*r**2 - 92*r + 160 = 0.
20/9, 8
Solve 3*j**3 - 45*j**2 + 81*j - 39 = 0 for j.
1, 13
Factor 2*s**2 + 7188*s + 6458418.
2*(s + 1797)**2
Determine q so that -2*q**2/23 + 2016*q/23 - 508032/23 = 0.
504
Factor -2*l**2 + 26*l - 84.
-2*(l - 7)*(l - 6)
Determine r so that 4*r**3/7 + 54*r**2/7 + 2*r - 156/7 = 0.
-13, -2, 3/2
Factor -u**3/4 - 15*u**2/2 + 31*u/4.
-u*(u - 1)*(u + 31)/4
Solve 3*k**2/5 - 306*k/5 + 984 = 0 for k.
20, 82
Factor -3*n**3 + 135*n**2 - 1701*n + 6561.
-3*(n - 27)*(n - 9)**2
Solve -18*a**3 - 195*a**2 - 600*a - 375 = 0 for a.
-5, -5/6
Factor 3*k**5 + 405*k**4 + 13869*k**3 + 13467*k**2.
3*k**2*(k + 1)*(k + 67)**2
Factor -3*f**2/5 + 216*f/5 - 3213/5.
-3*(f - 51)*(f - 21)/5
Solve -g**5/2 - g**4/2 + g**3/2 + g**2/2 = 0.
-1, 0, 1
Let 3*g**2 + 4*g/3 = 0. What is g?
-4/9, 0
Determine g so that 4*g**3/9 + 2*g**2/9 - 26*g/9 + 4/3 = 0.
-3, 1/2, 2
What is b in -3*b**2 - 5454*b - 2478843 = 0?
-909
Factor -b**2 + 3208*b - 2572816.
-(b - 1604)**2
Let -196*p**5 - 532*p**4 + 2124*p**3 - 572*p**2 + 40*p = 0. What is p?
-5, 0, 1/7, 2
Factor -a**2/2 - 3*a/2 - 1.
-(a + 1)*(a + 2)/2
Suppose -2*f**2 - 4700*f - 2761250 = 0. What is f?
-1175
Factor 42*o**2 + 22*o - 20.
2*(o + 1)*(21*o - 10)
Suppose -2*o**4 - 572*o**3 - 40896*o**2 + 572*o + 40898 = 0. Calculate o.
-143, -1, 1
Factor -a**2/5 + 3134*a/5 - 2455489/5.
-(a - 1567)**2/5
Factor -18*x**3 + 8*x**2 - 8*x/9.
-2*x*(9*x - 2)**2/9
Factor y**5/6 - y**4 - y**3/6 + y**2.
y**2*(y - 6)*(y - 1)*(y + 1)/6
Suppose -5*o**2 + 3135*o + 3140 = 0. Calculate o.
-1, 628
Factor 2*j**2/11 + 14*j/11 + 24/11.
2*(j + 3)*(j + 4)/11
Factor 4*v**3 - 128*v**2 - 1516*v + 1640.
4*(v - 41)*(v - 1)*(v + 10)
Factor m**5/4 + 7*m**4/2 + 19*m**3 + 99*m**2/2 + 243*m/4 + 27.
(m + 1)*(m + 3)**3*(m + 4)/4
Determine i so that -i**2/5 - 44*i/5 - 484/5 = 0.
-22
Factor 2*b**2 - 116*b + 224.
2*(b - 56)*(b - 2)
Factor -1587*n**4/5 + 414*n**3/5 - 27*n**2/5.
-3*n**2*(23*n - 3)**2/5
What is c in -4*c**4 + 20*c**3 - 80*c + 64 = 0?
-2, 1, 2, 4
Factor 4*n**3 - 12*n - 8.
4*(n - 2)*(n + 1)**2
Factor -i**3/7 - 96*i**2/7 - 1065*i/7 + 166.
-(i - 1)*(i + 14)*(i + 83)/7
What is k in -4*k**5 - 4*k**4 + 20*k**3 + 4*k**2 - 32*k + 16 = 0?
-2, 1
Factor d**4/3 - 7*d**3/3 - 49*d**2/3 + 55*d/3.
d*(d - 11)*(d - 1)*(d + 5)/3
Let 4*o**3/7 - 15900*o**2/7 = 0. What is o?
0, 3975
Determine v, given that -3*v**3/2 - 33*v**2/2 + 279*v/2 - 459/2 = 0.
-17, 3
Suppose 2*g**2/3 - 6 = 0. What is g?
-3, 3
Let 3*d**5 - 6*d**4 - 33*d**3 + 24*d**2 + 60*d - 48 = 0. Calculate d.
-2, 1, 4
Factor 98*y**4 - 16296*y**3 + 679772*y**2 - 193224*y + 13778.
2*(y - 83)**2*(7*y - 1)**2
Factor -2*u**2/9 - 36*u - 1458.
-2*(u + 81)**2/9
Find u, given that -2*u**4/7 + 242*u**3/7 - 1840*u**2/7 + 3616*u/7 = 0.
0, 4, 113
Factor 2*t**2/17 + 90*t/17 - 500/17.
2*(t - 5)*(t + 50)/17
Factor -7*k**2/4 - 9*k/2 - 2.
-(k + 2)*(7*k + 4)/4
What is k in k**3/3 - 131*k**2/3 + 128*k/3 + 260/3 = 0?
-1, 2, 130
Find v, given that 3*v**3 + 27*v**2 - 30*v = 0.
-10, 0, 1
Factor 2*t**2 + 412*t + 6768.
2*(t + 18)*(t + 188)
Factor -y**2/6 - 3*y/2 - 3.
-(y + 3)*(y + 6)/6
Suppose -u**2/8 + u = 0. What is u?
0, 8
Let -5*p**4 - 2005*p**3 - 9915*p**2 - 5895*p + 17820 = 0. Calculate p.
-396, -3, 1
Solve t**3/3 - 11*t**2/3 + 31*t/3 - 7 = 0 for t.
1, 3, 7
Factor -d**2/2 + 13*d - 24.
-(d - 24)*(d - 2)/2
Factor -2*o**3 + 53*o**2 + 86*o - 56.
-(o - 28)*(o + 2)*(2*o - 1)
Factor 3*g**2 + 66*g + 336.
3*(g + 8)*(g + 14)
Find n, given that 5*n**3 - 55*n**2 - 130*n = 0.
-2, 0, 13
Factor -2*g**3/7 + 30*g**2/7 - 4*g.
-2*g*(g - 14)*(g - 1)/7
What is i in 3*i**2 + 474*i - 477 = 0?
-159, 1
Factor -3*r**5/7 + 15*r**4/7 - 30*r**3/7 + 30*r**2/7 - 15*r/7 + 3/7.
-3*(r - 1)**5/7
What is v in -v**2 + 2*v + 99 = 0?
-9, 11
Let 2*h**3 - 12*h**2 + 18*h = 0. What is h?
0, 3
Solve -v**4/8 + 47*v**3/8 - 477*v**2/8 - 1775*v/8 - 625/4 = 0.
-2, -1, 25
Factor 2*t**2/5 - 576*t/5 + 41472/5.
2*(t - 144)**2/5
Suppose g**2 - 35*g + 234 = 0. What is g?
9, 26
Determine d, given that -d**4/4 + 21*d**3/8 - 8*d**2 + 63*d/8 - 9/4 = 0.
1/2, 1, 3, 6
Factor 177*u**2 + 360*u + 12.
3*(u + 2)*(59*u + 2)
Factor -2*f**2/3 + 140*f/3 - 46.
-2*(f - 69)*(f - 1)/3
Factor y**3 - 14*y**2 + 39*y + 54.
(y - 9)*(y - 6)*(y + 1)
Suppose 3*d**3/5 + 138*d**2/5 + 2091*d/5 + 10404/5 = 0. What is d?
-17, -12
Determine c so that -2*c**4 - 233*c**3 + 117*c**2 = 0.
-117, 0, 1/2
Find m, given that 488*m**5 + 106*m**4 - 492*m**3 - 106*m**2 + 4*m = 0.
-1, -1/4, 0, 2/61, 1
Let 2*n**2 + 58*n - 60 = 0. Calculate n.
-30, 1
What is n in 5*n**2 + 135*n + 250 = 0?
-25, -2
Find a, given that -867*a**3 + 24072*a**2 + 5700*a + 336 = 0.
-2/17, 28
Let -2*o**2 + 632*o - 49928 = 0. Calculate o.
158
Suppose -s**2 + 13*s + 14 = 0. Calculate s.
-1, 14
Suppose -x**4/4 - 27*x**3/4 - 99*x**2/2 + 648 = 0. Calculate x.
-12, -6, 3
Determine u so that -25*u**3 - 90*u**2 + 40*u = 0.
-4, 0, 2/5
Factor 5*b**2 + 53750*b + 144453125.
5*(b + 5375)**2
Find d such that 3*d**4/5 - 38*d**3/5 - 16*d**2/5 + 38*d/5 + 13/5 = 0.
-1, -1/3, 1, 13
Factor 3*h**3/2 - 6*h**2 - 3*h/2 + 6.
3*(h - 4)*(h - 1)*(h + 1)/2
Suppose 2*n**4 + 18*n**3 + 44*n**2 - 64 = 0. Calculate n.
-4, -2, 1
Factor -l**4/8 - l**3/4 + 7*l**2/8 + 5*l/2 + 3/2.
-(l - 3)*(l + 1)*(l + 2)**2/8
Factor 5*f**4 + 50*f**3 - 60*f**2 - 50*f + 55.
5*(f - 1)**2*(f + 1)*(f + 11)
Find h such that 2*h**3/3 - 18*h**2 = 0.
0, 27
Factor -3*i**4 + 36*i**3 - 129*i**2 + 72*i + 240.
-3*(i - 5)*(i - 4)**2*(i + 1)
Find a such that -2*a**4/11 + 296*a**3/11 - 3360*a**2/11 + 13184*a/11 - 17408/11 = 0.
4, 136
Find h, given that h**3/7 - 75*h/7 - 250/7 = 0.
-5, 10
What is r in -r**2/6 + 11*r/3 = 0?
0, 22
Find h, given that 15*h**4 + 115*h**3 - 50*h**2 - 80*h = 0.
-8, -2/3, 0, 1
Find i such that 722*i**2/7 - 456*i/7 + 72/7 = 0.
6/19
Factor -l**2/8 - 55*l/4 - 321/8.
-(l + 3)*(l + 107)/8
Suppose 3*x**3 - 12*x**2 - 12*x + 48 = 0. What is x?
-2, 2, 4
Determine z, given that -4*z**2 + 22720*z - 32262400 = 0.
2840
Suppose -2*s**5/9 + 4*s**4/3 + 8*s**3/3 - 140*s**2/9 - 50*s/3 = 0. Calculate s.
-3, -1, 0, 5
Suppose -3*n**4/4 - 387*n**3/4 - 13047*n**2/4 - 36477*n/4 - 11907/2 = 0. What is n?
-63, -2, -1
Factor -3*a**3/4 - 3*a**2 + 417*a/4 + 429/2.
-3*(a - 11)*(a + 2)*(a + 13)/4
Determine f so that -f**2/3 + 258*f + 1552/3 = 0.
-2, 776
Factor 108*r**5 + 906*r**4 + 8299*r**3/3 + 7295*r**2/2 + 1900*r + 1000/3.
(2*r + 5)**3*(9*r + 4)**2/6
What is r in -5*r**3 - 50*r**2 - 115*r - 70 = 0?
-7, -2, -1
Find c, given that -c**3 - 12*c**2 + 315*c - 1274 = 0.
-26, 7
Find l such that -170*l**5/9 - 356*l**4/3 - 2320*l**3/9 - 1888*l**2/9 - 32*l + 64/9 = 0.
-2, -2/5, 2/17
Let -5*z**5/3 + 32*z**4/3 + 88*z**3/3 - 160*z**2/3 - 272*z/3 + 128/3 = 0. What is z?
-2, 2/5, 2, 8
Let 8*c**3/3 + 536*c**2/3 + 3318*c + 10584 = 0. What is c?
-63/2, -4
Solve -1922*m**2/7 + 496*m/7 - 32/7 = 0 for m.
4/31
Factor -m**3/2 + 25*m**2 + 157*m/2 + 53.
-(m - 53)*(m + 1)*(m + 2)/2
Factor 2*z**3 + 320*z**2/3 + 418*z/3 + 104/3.
2*(z + 1)*(z + 52)*(3*z + 1)/3
Let -2*v**5/5 + 8*v**3/5 + 4*v**2/5 - 6*v/5 - 4/5 = 0. Calculate v.
-1, 1, 2
Solve 2*f**4/13 - 252*f**3/13 + 1920*f**2/13 - 3776*f/13 = 0 for f.
0, 4, 118
Factor -35*d**2/2 - 3050*d - 870.
-5*(d + 174)*(7*d + 2)/2
Determine r, given that -2*r**4 + 124*r**3 - 2040*r**2 + 3600*r = 0.
0, 2, 30
What is u in -1390*u**2/7 + 1394*u/7 - 4/7 = 0?
2/695, 1
Let 21*f**2 + 3068*f + 292 = 0. Calculate f.
-146, -2/21
Factor 20*d**4 - 192*d**3 + 256*d**2.
4*d**2*(d - 8)*(5*d - 8)
Factor 4*t**2 + 672*t.
4*t*(t + 168)
Let -k**2/8 + 105*k/8 - 13 = 0. Calculate k.
1, 104
Factor -3*p**2 - 30*p - 48.
-3*(p + 2)*(p + 8)
Factor -39*m**2/7 + 3054*m/7 - 936/7.
-3*(m - 78)*(13*m - 4)/7
Factor -4*z**3 - 220*z**2 - 4000*z - 24000.
-4*(z + 15)*(z + 20)**2
Factor -9*n**3 - 330*n**2 - 2967*n + 1026.
-3*(n + 18)*(n + 19)*(3*n - 1)
Factor 2*a**5/5 - 34*a**4 + 738*a**3/5 + 245426*a**2/5 - 5237996*a/5.
2*a*(a - 41)**3*(a + 38)/5
Find o, given that -170*o**2 - 2*o = 0.
-1/85, 0
Fi | {
"pile_set_name": "DM Mathematics"
} |
st common divisor of 3822 and 340954887?
1911
Calculate the greatest common factor of 9891767 and 30007.
811
Calculate the greatest common divisor of 34225575 and 3050.
1525
Calculate the greatest common divisor of 378788 and 561779.
337
What is the highest common divisor of 96480 and 2257020?
180
Calculate the highest common divisor of 9311507 and 661.
661
Calculate the greatest common factor of 6968 and 4843832.
536
What is the greatest common factor of 1392 and 2007090?
174
Calculate the greatest common divisor of 12 and 1904944416.
12
Calculate the highest common divisor of 1230823570 and 10.
10
What is the greatest common factor of 343895282 and 10034?
10034
What is the greatest common divisor of 5017846 and 248?
62
What is the highest common factor of 463 and 950901529?
463
What is the highest common factor of 13150 and 54?
2
Calculate the highest common factor of 2686963801 and 4201.
4201
Calculate the highest common divisor of 1516335 and 345.
15
What is the highest common divisor of 1982498 and 46487?
203
What is the highest common factor of 107 and 398034329?
107
What is the highest common divisor of 215940 and 2445?
15
What is the highest common divisor of 111437 and 8883?
47
What is the highest common factor of 5404 and 5813353?
1351
Calculate the greatest common factor of 64 and 33396416.
64
Calculate the greatest common divisor of 295263 and 122589.
477
Calculate the greatest common divisor of 231395564 and 4.
4
Calculate the greatest common factor of 165212 and 31621.
103
Calculate the greatest common factor of 780 and 25877670.
390
Calculate the greatest common divisor of 880859 and 265734.
4921
Calculate the greatest common factor of 1582095 and 174.
87
Calculate the highest common factor of 64 and 19426688.
64
Calculate the highest common divisor of 266076 and 98478.
18
Calculate the highest common factor of 54 and 150019290.
54
What is the greatest common divisor of 165300726 and 62958?
8994
What is the highest common divisor of 10601415 and 150282?
3267
Calculate the highest common divisor of 18116653 and 2.
1
What is the greatest common factor of 57 and 16592871?
57
What is the greatest common factor of 1909 and 666075?
83
What is the highest common divisor of 130 and 143610?
10
Calculate the highest common divisor of 1922528 and 39712.
2336
What is the highest common divisor of 4128 and 164448?
96
What is the highest common factor of 2884 and 155478603?
721
Calculate the highest common factor of 102200130 and 20.
10
Calculate the highest common factor of 16280 and 942040.
440
What is the greatest common factor of 1920 and 59064960?
1920
Calculate the greatest common divisor of 187502 and 14042.
826
What is the highest common factor of 3258 and 121934994?
1086
What is the greatest common divisor of 40655196 and 2864?
716
Calculate the greatest common factor of 99759944 and 680.
136
Calculate the highest common factor of 6304 and 1940647.
197
Calculate the greatest common divisor of 443 and 55473346.
443
Calculate the greatest common divisor of 2876 and 601144396.
2876
What is the highest common factor of 10854 and 542432?
134
What is the highest common divisor of 6962301 and 54?
27
Calculate the highest common divisor of 26 and 1208659322.
26
What is the highest common divisor of 9967064 and 124?
4
What is the greatest common factor of 121389 and 13217286?
2823
What is the greatest common factor of 64 and 179481056?
32
What is the highest common divisor of 443447 and 246053?
197
What is the highest common factor of 10185385 and 51450?
1715
Calculate the greatest common factor of 10839433 and 55.
11
Calculate the greatest common divisor of 3334 and 364729598.
3334
What is the greatest common divisor of 96368 and 111568?
304
What is the greatest common factor of 4 and 30858325?
1
Calculate the highest common factor of 6730465 and 19544.
2443
What is the greatest common factor of 11228633 and 231569?
4927
What is the greatest common factor of 2029655 and 154125?
685
What is the greatest common divisor of 1711598 and 258118?
2506
What is the highest common divisor of 2395152 and 192?
48
Calculate the highest common divisor of 2183 and 15377237.
37
Calculate the greatest common divisor of 55 and 6414518.
11
Calculate the greatest common divisor of 275334 and 186.
6
Calculate the highest common divisor of 140 and 99605835.
35
Calculate the highest common divisor of 360792 and 2088.
72
What is the greatest common factor of 27251 and 2258467?
17
What is the highest common divisor of 6230 and 56197715?
3115
Calculate the highest common factor of 18424071 and 216.
27
Calculate the greatest common divisor of 35490 and 1727355.
105
What is the greatest common factor of 4516183 and 235?
47
Calculate the highest common factor of 354 and 364332.
6
Calculate the highest common factor of 5968 and 33298829.
373
What is the highest common factor of 3991367 and 19449?
2161
Calculate the greatest common divisor of 18992 and 309807.
1187
Calculate the greatest common factor of 4251 and 465816.
39
Calculate the greatest common divisor of 90 and 11995326.
18
What is the greatest common divisor of 7602 and 515088714?
7602
Calculate the highest common factor of 179 and 1577348.
179
What is the greatest common divisor of 20 and 131606150?
10
Calculate the greatest common factor of 25440550 and 75.
25
What is the highest common factor of 28896668 and 547553?
17663
Calculate the greatest common divisor of 1469 and 11926133.
113
Calculate the greatest common factor of 224 and 5193496.
56
What is the highest common divisor of 275063 and 3622939?
589
Calculate the highest common factor of 1010369329 and 62.
31
Calculate the greatest common factor of 17459 and 5978167.
1027
Calculate the greatest common divisor of 4771216 and 1144.
8
What is the greatest common factor of 45 and 11205840?
15
What is the greatest common divisor of 2440 and 1827560?
2440
What is the greatest common factor of 15379 and 5383?
7
What is the greatest common factor of 4235903 and 61376?
959
Calculate the highest common factor of 511739 and 136.
1
What is the highest common factor of 20314515 and 390?
195
What is the highest common divisor of 35789 and 87581?
13
Calculate the greatest common divisor of 238 and 17312817.
17
What is the greatest common factor of 9776791 and 17790?
593
What is the highest common divisor of 237838390 and 11590?
11590
What is the greatest common divisor of 187486175 and 6625?
1325
Calculate the highest common factor of 9230101 and 274.
137
Calculate the greatest common factor of 8350285 and 30.
5
What is the highest common divisor of 1239212 and 364?
52
What is the greatest common divisor of 126 and 282359808?
18
What is the highest common divisor of 82949250 and 19000?
4750
What is the greatest common divisor of 19750 and 56248?
158
What is the greatest common divisor of 3231536 and 38786?
946
What is the greatest common divisor of 26040624 and 10509?
339
Calculate the highest common divisor of 162673801 and 7049.
1007
Calculate the highest common divisor of 105782419 and 164.
41
What is the highest common factor of 664495380 and 540?
540
Calculate the highest common factor of 498 and 8805198.
6
Calculate the highest common factor of 70407 and 248832.
9
What is the highest common factor of 13482 and 3632958?
126
Calculate the highest common factor of 261670 and 284960.
1370
What is the greatest common divisor of 70873 and 631312?
187
Calculate the highest common factor of 81 and 14548173.
3
What is the highest common factor of 89669477 and 2936?
367
What is the highest common divisor of 78968 and 43712?
8
Calculate the greatest common divisor of 109678 and 1426.
62
Calculate the highest common factor of 1146 and 49707750.
1146
What is the greatest common divisor of 76440 and 182180040?
5880
What is the greatest common factor of 1120 and 56283040?
160
What is the greatest common divisor of 410 and 46500?
10
Calculate the greatest common divisor of 38 and 25855371.
19
What is the greatest common factor of 1117034 and 19412?
422
What is the greatest common factor of 5344 and 73032440?
1336
What is the highest common factor of 104004 and 270282?
642
What is the highest common divisor of 1508192 and 21728?
224
Calculate the highest common divisor of 5 | {
"pile_set_name": "DM Mathematics"
} |
- (700/16)/(-7). Solve -2*i = -a*k - i, 2*k + i = 0 for k.
0
Suppose -196*n = -113*n - 166. Solve -48*z + 45*z - 4 = -f, -5*z - 7 = -n*f for z.
-1
Let i(l) = -144*l + 2026. Let j be i(14). Solve 14 - j = -a, -3*h - 5*a - 23 = 0 for h.
-1
Let k be 0*((-31)/22)/31. Solve -3*o + 68*w - 67*w - 4 = 0, k = -3*o - 3*w + 24 for o.
1
Let q = 3690 + -3664. Solve v + 4*n = 3, 2*n = 4*v + q - 2 for v.
-5
Suppose -5*b - 3*r = 3 - 25, -2*b - 2*r = -12. Suppose 2*s + 5*w = -b, 16 = -5*s + w - 16. Let n be s*-2*1/4. Solve -c = k - 1, n*k - 2*c - 8 = -6*c for k.
-4
Let b be -10*18/(-12) + -10. Solve -b*w = 3*c - 27, 4*c + 4*w + 0*w - 28 = 0 for c.
4
Let n(u) = u**3 - 2*u**2 - 50*u - 10. Let t be 1 - 28/4 - 0/10. Let b be n(t). Solve -2*p - 3*i = -5*i + 12, -b*p + 23 = 5*i for p.
-1
Suppose -4 = 2*f - 5*d, 2*f - 7*f + 23 = 4*d. Suppose -f*g = -2 - 10. Solve 4*j - 8 = -q + 5*q, -8 = -g*q for j.
4
Let w = 3213 + -3211. Solve -w*r - 50*d - 12 = -54*d, 0 = -r - 5*d + 8 for r.
-2
Let k(j) be the first derivative of -5*j**4/4 + 124*j**3/3 + 13*j**2 - 9*j + 105. Let p be k(25). Let q = 0 + 0. Solve -v + 4*u = p - 4, -2*u + 4 = q for v.
-4
Let f = 26507 + -26448. Solve 60*w - 5*x - 4 = f*w, -5*x - 8 = 3*w for w.
-1
Suppose 49 = -o + 52. Solve -2*x - o*x = -5*t, 2*x = 5*t - 6 for x.
2
Suppose -5*o = -2*o - 3*k + 6, -2*k = -o - 5. Suppose -c + 65 = o. Suppose s = -64 + c. Solve -p = -h - s*p + 10, 0 = -3*h - 3*p for h.
5
Let n = 11879 - 11879. Solve 4*p + 2*u - 2 = n, -49*p + 50*p + 2*u - 5 = 0 for p.
-1
Suppose 4*m = -5*x - 47, -5*m = -x - x + 100. Let a = 33 + m. Let l = 421 - 416. Solve -l*f + g + 12 = -5, -3*f + a = -3*g for f.
3
Suppose -5*m + 4*i = -588, -4*i + 327 + 13 = 3*m. Suppose 2*a = 126 - m. Solve 1 = -5*h + k, 0 = -a*h + k + 3*k + 11 for h.
-1
Let d be (((-12)/(-8))/1)/(3/18). Let v(p) = p**3 - 8*p**2 - 6*p - 22. Let z be v(d). Solve -s + 8 = z*l - 7, -27 = -3*l + 3*s for l.
4
Let i be ((-76)/38)/(((-8)/(-16))/((-6)/4)). Solve -r + i*o = 2*o + 9, 9 = 3*o for r.
3
Suppose -150 = 136*y - 694. Solve -4*s - 51 = -5*d - 23, -4*s - y*d = -8 for s.
-2
Let m be (-9)/12 - 1/(-8)*-2. Let n(u) = -2*u**3 + 8*u**2 + 5*u - 2. Let a be n(m). Solve a*q = 5*w - 31, -4*w - 1 = q - 19 for w.
5
Let w be -5 - (-1 + (-21)/3). Suppose 39 = 22*h - 9*h. Solve h*d = k - w + 22, -3*k - d - 7 = 0 for k.
-4
Suppose 0 = -0*c + 2*c - 4. Suppose 86*w - 22 = 153 - 23 + 106. Solve -6*g - 14 = -g + c*n, -10 = w*g + 2*n for g.
-2
Suppose 3*c - 4*y - 102 = 0, 4*y + 193 = 5*c + 5*y. Suppose 6 = -c*u + 41*u. Solve -n + 11 = -0*n - 4*w, u*n + 4*w = -14 for n.
-1
Let l be (-52)/5*(7 + -1 + -1). Let z = l - -63. Let w = -23 - -30. Solve 3*t = -5*x - z, 0*x - 5*t = -3*x + w for x.
-1
Suppose -3*t = -0*t - 33. Suppose -84 = -10*f - t*f. Solve -f = -k - 3*y, -y = 4*k - 3*k for k.
-2
Let g(h) = 3*h - 77. Let l be g(23). Let t(m) = m**3 + 9*m**2 + 9*m + 12. Let n be t(l). Solve -u + n*v - 1 = -0*u, u - v = -1 for u.
-1
Let z(t) = -t + 51 + 74 + 5*t. Let s be z(-30). Solve -m + s = 0, 2*l = 3*m - 12 - 1 for l.
1
Let s(k) = k**3 + 38*k**2 + 107*k + 70. Let t be s(-35). Suppose -4*p + 6 = 2*d - 4*d, 4*p - 5*d - 3 = t. Solve -v + 6 = -3*v, x + v = -p for x.
1
Let f be 0 - (-2 - 13)*1. Solve -5*u = -3*c - 40, 18*u = f*u - 4*c - 5 for u.
5
Suppose -3*t + 0*m = -4*m - 608, -t + 216 = 2*m. Let c = t + -186. Let g(w) = -w**2 - 5*w. Let y be g(-4). Solve 37 = 3*x - 5*a, y*x - 14 = 4*a + c for x.
4
Let c = 5084 + -5081. Solve 48*g - 44*g + 6 = -2*t, 3*t = -c for g.
-1
Let g be -1 - 24/(-54)*9. Solve 3*s + 16 = 19*r - 15*r, -r - g*s = 11 for r.
1
Suppose 4*q - 22 = -4*a + 58, -4*q - 3*a = -76. Suppose 5*y + 3*y - q = 0. Solve -2*w - 11 = y*m - 3, -4*w + 8 = -2*m for w.
0
Suppose -6*q = 104*q + 7*q - 5382. Let t(n) = 12*n - 5. Let b be t(4). Let c = q - b. Solve -4 = y + u + c*u, 2*u = -y for y.
4
Suppose -4*h - 5 = h, 5*w = -4*h + 6. Let l be w/(-5)*(-1 - 4). Suppose -7*k + 70 = 49. Solve -s = -5*m + l*m - 3, 0 = -4*m - s + k for m.
0
Suppose -47 = -4*k + 5*d, -9 = -2*k - 2*d + 1. Suppose -k*g = -4*g - 140. Let b = -33 + g. Solve 2 + 3 = 5*m, b*n - m + 5 = 0 for n.
-2
Suppose -3*j = -3*d, 3*d = 4*j - 2*d + 3. Suppose -6*u + 18 = -j*u. Let v be (0 + 2/4)/(6/48). Solve a - 2*g - 4 = -u*g, -2*g = a - v for a.
4
Let r(v) = -v**3 - 4*v**2 + 6*v + 4. Let m be r(-5). Let k be m*(-4 - (1 + 3) - 4). Solve -2*a = 2*p - 8, a - 4*a + k = 4*p for a.
4
Let k = -38 + 5. Let m = k - -29. Let d be -7 - m - (-1 + -7). Solve -5*p - d*b - 15 = -0*b, 2*p + 1 = -b for p.
2
Suppose 0 = 153*z - 156*z + 7*i + 100, -3*z + 5*i + 92 = 0. Solve 3*s + 18 = -z*w + 23*w, 4 = -2*w + 2*s for w.
-6
Let l be (-12)/(-15)*15/2. Let f be 0 + 33/l + (-9)/18. Suppose 4*n + 5*j = 13, 2*j - 7 = -f*n + 5*j. Solve -4*o = -n*g + 2, -4*o - 9 - 14 = 5*g for g.
-3
Suppose 16*u = -14 + 222. Solve u = -z + 4*t, t + 11 = 3*z + 6 for z.
3
Let t(l) = 6*l - 31. Let g be t(6). Let a(j) = 7*j + 38. Let w be a(-5). Solve 30 = 5*o + 4*b, -w*b + 6 - 1 = -g*o for o.
2
Let a be (-1)/(1113/(-106) - 1*-10). Let k be (2/3)/(21/315). Solve -a*o - 3*o + k = 0, -4*o + 4 = 4*g for g.
-1
Let h = 32 + -22. Let n be (0/(-1) - (-4)/10)*-15. Let j(g) = -3*g - 11. Let m be j(n). Solve 3*w = 7*u - 3*u + h, 5*w + 3*u = m for w.
2
Suppose -109*t + 261 = -148 - 27. Solve 5*s = 4*b + 8 - 9, t*b = -3*s - 7 for s.
-1
Let k = -11348 - -11353. Solve -2*v + k = 5*r + 4, -2 = v + 5*r for v.
3
Let p be (-2)/(-16) + (-119)/56. Let k be p - (-1 + 5 + -5 + -5). Solve k*j - w + 5 = 0, -4*w + 18 = -3*j - 2 for j.
0
Let f(p) = 2*p**2 + 28*p + 10. Let s be f(-14). Let d be s/(-5)*(-9)/2. Solve 0 = -2*x + 6, -3*b + 0*b = 4*x - d for b.
-1
Let g(t) = -2*t**2 - 10*t - 6. Let d be g(-4). Let z be 0/((3 - d)/(1/4)). Solve z = 4*o + 4*n + 16, 4*n + 6 = -2*o + 3*o for o.
-2
Suppose 10 = 3*k + 4. Let y(m) be the third derivative of m**4/24 - 5*m**3/6 + 22*m**2. Let h be y(8). Solve k*x - 4*z = 10 + 6, -5*x = -h*z - 12 for x.
0
Let t(u) = -u**3 - 32*u**2 - 30*u + 36. Let m be t(-30). Let h = -862 - m. Solve z + 4*d = 3*z - 10, 0 = -h*z - d for z.
1
Let b(s) = -5*s**3 + 324*s**2 + 65*s. Let x be b(65). Solve -5*q + 5*d - 6*d - 6 = x, d - 4 = 0 for q.
-2
Suppose h = 3, c - 3*h + 8*h - 15 = 0. Let f be 56/6*699/3262. Solve 5*j = -f*x + 17, c = -0*j - j - x + 4 for j.
3
Let q(b) = -7*b**3 - 2*b**2. Let d be q(1). Let k be 2 + d + 7 - (0 - 11). Solve 0*h + m = 3*h + k, 4*h + 2*m = 2 for h.
-2
Let j = 173 + -179. Let y = j - -8. Solve -4*i - 4 + 24 = -4*m, 2*i + m = -y for i.
1
Let m(x) = -x + 60. Let w be m(-7). Let a be w/11 - 1/11. Solve 0 = 5*j - 25, -24 = -4*i + a*i - 4*j for i.
-2
Let b be (-11 - (2 - 3))/((-161)/322). Solve -2*c + 2 = -2*n, 2*n + 5*c + b = 39 for n.
2
Let l = -10777 + 10778. Solve -2*b - 16 = 4*i, 2*b + 3*i = 4*i - l for b.
-2
Suppose -2*v = f - 15, 840*f - 841*f = -v + 6. Solve 3*s + 2*a - f = -0*a, 4*s = 5*a + 9 for s.
1
Let b(v) = -v**2 - 41*v + 184. Let x be b(-45). Solve 0 = -4*m + 4*u - x, -m - u - 17 = -6*u for m.
3
Let j be (-2)/4*-2*2. Let f be (0/2 + 3)/(6/8). Suppose -168 = f*y - 168. Solve 3*u + y*n = j*n + 5, n - 14 = -4*u for u.
3
Let j = -34 + 47. Suppose 3*r = 2*p - 3, r + r + j = 5*p. Suppose -p + 5 = h. Solve o = -5*z + 5, -h*o + 14 - 4 = -z for o.
5
Suppose 0 = -143*p + 96*p + 423. Let x be ((-3)/6)/(1/(-2)). Suppose 19 + x = 4*m. Solve 5*y = -5*g + m, g - p = 5*y - 2*y for g.
3
Suppose 7*r = -69 + 181. Solve 3*b + 5 = -5*x, -r = -3*x - 6*b + 8*b for x.
2
Let w(g) = -3*g**3 + 68*g**2 + 99*g - 67. Let d be w(24). Solve -d*l - m + 108 = 96, 5*m + 15 = 0 for l.
3
Let s be 3/((-174)/684 + (-5)/(-15)). Suppose -s*l + 52 = -24. Solve -4 = 3*p + i + l, 0 = -5*p + i - 10 for p.
-2
Let r(z) = -z**3 - 3*z**2 + 3*z - 7. Let f be r(-4). Let v be ((-115)/(-69))/((-1)/f). Solve 5*g = -5*s + 3*g + 7, -2*g = 3*s - v for s.
1
Let i(j) = -j**3 - 7*j**2 + 6*j - 14. Let y be i(-8). Solve 0 = -y*o - 3*n + 10, -3*o + n + 0*n = 7 for o.
-1
Suppose -915 - 93 = -112*d. Solve -2*l = z, z - l = -3*z + d for z.
2
Let d(o) = o**2 + o - 5. Let n be d(5). Let b be (-58)/(-116)*(-3042)/(-1). Let f = 1523 - b. Solve f*m - 2*q = 0, 2*q - n = -3*q for m.
5
Let y = -137 - 25. Let j = y - -164. Solve 0 = 4*u + j*d - 8, d = -4*u + 5 - 1 for u.
0
Suppose -9*o - 269 - 1252 = 0. Let n = o - -174. Solve 0 = n*j + | {
"pile_set_name": "DM Mathematics"
} |
form a + u*i**2 + z*i**3 + v*i and give v.
-6
Rearrange 6459*j + 1 - 3234*j - 3429*j + 2*j**2 + 2*j**3 to the form p*j**3 + r + l*j**2 + a*j and give r.
1
Express 0*w**3 - 6*w**3 + 4*w**3 + 5*w**3 + 13*w**3 - 4*w**3 + (-4*w + 4 - 4)*(-2*w**2 - 2 + 2) in the form p*w + z*w**3 + m + h*w**2 and give z.
20
Express (0 - 1 + 2)*(-5*u - 13*u - 3*u)*(0*u + u - 4*u)*(2 + u - 2) in the form i*u**3 + g*u + j*u**2 + z and give i.
63
Rearrange 2*k**2 + k + 69*k**3 + k**4 - 2*k**2 - 2 - 41*k**3 to g*k + r + i*k**2 + w*k**4 + f*k**3 and give r.
-2
Express ((10 + 0 - 21)*(-4 + 2 + 0) + 4 - 4 - 2)*(d - 3*d + 0*d) as y*d + j and give y.
-40
Rearrange -1 + 6*h**4 - h - 10*h**4 + 3*h**4 + 35*h**3 to the form f*h**2 + i*h + v*h**4 + m + b*h**3 and give b.
35
Express -g - 56982*g**3 + 56940*g**3 + 3*g + 6*g**2 in the form i*g + t + p*g**3 + m*g**2 and give p.
-42
Rearrange (306 - 20 - 111 + 238)*(-q**3 - 2*q**3 + q**3) to the form j + x*q**2 + u*q**3 + b*q and give u.
-826
Express (33 + 234 - 40 + 22)*(19*n - 13*n - 16*n - 2) as c + r*n and give c.
-498
Express -4*b**3 + 2*b**3 + 0*b**3 + (-146 - 162*b + 146)*(6*b**2 - 2*b**2 - 5*b**2) in the form s + p*b**3 + w*b + g*b**2 and give p.
160
Express 3*h**3 - 8*h + 10*h**2 - 4*h**3 + 20*h - 11*h as p*h + a*h**2 + o + y*h**3 and give p.
1
Rearrange 11 - 8*g**2 - g + 6*g**2 + 7*g**4 - 9 - 15*g**4 to z*g**2 + q + w*g**3 + b*g**4 + m*g and give w.
0
Express 11*n - 11*n + 10*n**3 + (-2 + 3*n + 2)*(-2*n**2 + 7*n**2 + 9*n**2) in the form x + l*n**3 + q*n**2 + u*n and give l.
52
Express ((-3 - 2 + 3)*(5 + 1 - 3) + (1 + 2 - 2)*(-1 + 3 + 0))*(-t - t + 0*t)*(66 - 1 + 5) as p + m*t and give m.
560
Express (348 + 2*l - 299 - 196 + l**2)*(3 + 2*l - 3) as u*l**3 + b + r*l**2 + a*l and give r.
4
Express 108 - 240 - 2*t + 105 in the form y + w*t and give w.
-2
Express (-x - 3 + 3)*(-3*x - 5*x**2 + 3*x) + 3*x - 16*x - 6*x - 6*x**3 as v*x**3 + s + g*x + j*x**2 and give v.
-1
Rearrange -33*g**3 + 19*g**3 + 1 + 17*g**3 - 4 + g to a + c*g**2 + m*g + w*g**3 and give w.
3
Rearrange -1 - 71*f**2 + 3*f**3 + 31*f**2 + 11*f**2 - 2*f**4 - 4*f**3 + 28*f**2 + 10*f to v*f**3 + m + z*f**2 + p*f**4 + q*f and give m.
-1
Express (-34180 + 34180 - 314*w)*(-4*w**2 + 2*w**3 + 4*w**2) as r + q*w**4 + x*w**3 + n*w**2 + y*w and give q.
-628
Express -1 - 151*k**4 - 151*k**4 + 3*k + 298*k**4 - 2*k + 2*k**3 in the form v*k**4 + p*k**3 + u*k + t + o*k**2 and give v.
-4
Express (-5*g + 3*g + 3*g)*(-3*g**2 + 350*g - 351*g + 5*g**2 + 120) as y + a*g + i*g**3 + f*g**2 and give i.
2
Rearrange (61*m - m**2 + 69*m - 136*m)*(-2 - m + 2) to q*m**3 + u*m + x + f*m**2 and give q.
1
Rearrange -7*m**2 + 19*m**2 - 36*m**2 + 11*m - 54*m**2 - 15*m to the form u*m**2 + z*m + l and give u.
-78
Express -1333*k**3 - 2 + 0 + 1312*k**3 + k**2 as z*k**3 + y*k + t + q*k**2 and give t.
-2
Express -358*i - 180*i - 940*i in the form k + g*i and give g.
-1478
Express (-8*c + 6*c + 16*c)*(-3 + 0 + 1)*(-2 + 6 + 0) in the form w*c + q and give w.
-112
Express -14*c - 11 + c**3 + 0*c**2 + 2*c**2 + 11 in the form u*c + a*c**3 + h*c**2 + t and give u.
-14
Express 106*s**2 + 1463 + 118*s**2 - 1461 - 65*s**2 in the form f*s + m + g*s**2 and give m.
2
Rearrange 2*q - 174 + 87 + 0*q**2 - 6*q**2 + 87 to f*q + s*q**2 + l and give l.
0
Express -19419 + 19419 - 214*a in the form c + i*a and give c.
0
Rearrange 552 - 5*l**2 + 4*l**2 - 3*l - 5*l**2 + 4*l**2 - 548 to a + x*l + j*l**2 and give x.
-3
Rearrange 14*w**2 + 5*w + 33*w**2 - 1 + 4*w - 9*w to h + f*w + z*w**2 and give z.
47
Express (m - m + 4*m**2)*(11*m + 173 - 171 + 0*m) in the form q*m**3 + i*m**2 + y*m + f and give y.
0
Rearrange (0*y - 2*y + 0*y)*(35 - 176 - 52)*(3 - 2*y - 3) to b + d*y**2 + o*y and give d.
-772
Rearrange 1146*m**2 + 16*m**3 - 568*m**2 - 578*m**2 - 1 - 17*m to the form h*m**2 + c*m**3 + k*m + f and give k.
-17
Rearrange (y**3 + 2 - 2)*(-3*y + 5*y - y) - 22*y**4 + 7*y**4 - 9*y**4 to b*y + r*y**4 + q*y**2 + h*y**3 + a and give r.
-23
Express 4*f**4 + 9*f**4 + 21*f**4 + (5*f - 3*f - 3*f)*(-f + f - f**3) - 246*f - 2*f**4 + 246*f in the form g*f**4 + o + h*f**2 + m*f**3 + z*f and give g.
33
Express -48 + 1058*k - 1118*k + 27 + 21 in the form z + h*k and give h.
-60
Express (41 - 27 + 67)*(-3 - f + 3 + (-1 + 4 - 1)*(-2*f + 3*f - 2*f)) in the form z*f + n and give z.
-243
Rearrange -257*b + 6 - 230*b - 273*b + 723*b to a*b + i and give i.
6
Express 2 - 3819*g**2 + 2*g**3 + 0*g**3 + 3817*g**2 in the form j*g**2 + m*g + k*g**3 + z and give m.
0
Express 3438*r - 1718*r + 12*r**2 + 48 - 1719*r in the form a*r + j*r**2 + d and give j.
12
Rearrange (-2*o**2 - 2 + 2)*(-3 + 3 + 2) - 3*o**2 - 22*o**2 - 2*o**2 to l + f*o**2 + w*o and give f.
-31
Express 14 - 38 + 7 + 17 - 381*b as a + u*b and give u.
-381
Express (2*y + 3 - 3)*(2354*y + 384 - 197 - 187) as k*y**2 + i*y + o and give i.
0
Rearrange 802*s + 963*s - 170*s + 513*s + 452*s to n + u*s and give u.
2560
Rearrange -30*p + 53*p**2 - 29*p**2 - 18*p**2 to the form l*p**2 + b + u*p and give u.
-30
Express 2*b**2 + 2 - 2*b + 3*b**4 + 0*b**4 - b**4 - 6*b**3 - 9*b**3 in the form t*b**2 + i*b + a + m*b**4 + y*b**3 and give i.
-2
Rearrange (-3 - 5 + 0)*(3*j**4 + 12*j**4 + 11*j**4) to the form v*j**4 + g*j**2 + q*j + w + t*j**3 and give v.
-208
Express -3*w**2 - 17*w + 5 - 2*w - 9*w**4 + 2*w**3 - 2*w + 22*w in the form x*w**3 + m + g*w**4 + j*w**2 + o*w and give g.
-9
Express 64*k + 7*k**2 - 2*k**3 + 3 - 61*k - 4*k**2 as l*k**3 + y*k**2 + s + x*k and give y.
3
Express 2 - 586*s - 8 + 6 + 2186*s as o*s + v and give o.
1600
Rearrange -543*n - n**4 - 8*n**2 + 544*n + 15*n**2 - n**3 to the form v*n**2 + s*n**3 + j*n**4 + a*n + z and give j.
-1
Express (-7 + 8 + 6 + 0 - 1 + 2 + (1 + 3 - 2)*(-5 + 2 + 1))*(1 - 1 - 21*j - 11*j) in the form v*j + m and give v.
-128
Express (333 - 50 + 361 - 269 + 470)*(4*r + 0*r - 3*r) in the form p + k*r and give k.
845
Express 298 - 150 - 147 + 35*h - 5*h in the form c + r*h and give r.
30
Express -24*z - 145*z - z**2 + 34*z in the form m + n*z + h*z**2 and give m.
0
Rearrange 7*s**2 + 33*s**2 + 7*s**2 - 27*s**2 - 5*s to the form m*s**2 + u*s + i and give m.
20
Express -16*r**4 + 109*r + 3 - 2*r**2 - 37*r - 34*r - 39*r as b*r**3 + y*r**4 + m*r + k + l*r**2 and give y.
-16
Rearrange (449 - 32 - 826)*(-1 + 2 + 1)*(-3*w + 5*w - w) to the form s*w + n and give s.
-818
Express -210*g + 384*g + 117*g - 3*g**2 in the form w*g**2 + d + v*g and give w.
-3
Rearrange 2*z**2 - 95 + 187 - 92 - 550*z to y + r*z**2 + k*z and give k.
-550
Express 4*q - 152*q**3 - 6*q - 478 + 476 in the form g*q + f + d*q**3 + s*q**2 and give f.
-2
Express -d**2 + 157 - 63 + 238 as m*d**2 + p + s*d and give p.
332
Rearrange -673 - 28 - 343 - 319 - 1835*d**3 + 1833*d**3 to n*d + v*d**2 + w + i*d**3 and give i.
-2
Rearrange -u**2 - 38 + 19 + 19*u**2 + 18 to the form x*u**2 + y + v*u and give y.
-1
Express -47*z**2 + 49*z**2 - 73 + 2*z + 0*z in the form v*z**2 + f*z + m and give f.
2
Rearrange -3*u + 12*u + 3*u + 0*u - 3*u + 5*u + (0 + 0 - 1)*(-42 + 30*u + 42) - u - u + 0*u to the form k + y*u and give y.
-18
Rearrange 1139*y**2 - y - 1138*y**2 + 2 + 0*y + 6*y to m*y + s*y**2 + g and give s.
1
Rearrange (-675 - 5*q + 675)*(-5*q**2 + 4*q**2 - q**2)*(5 - 2 + 0) to the form b*q + r*q**2 + w*q**3 + d and give w.
30
Rearrange 4 + 52*o - 4 + 898*o to the form b + j*o and give j.
950
Rearrange 154*r - 857*r - 59*r - 93*r to h + b*r and give b.
-855
Rearrange 596*t**3 + 115*t - 3 - 600*t**3 - 115*t - 14*t**2 to the form s*t + z*t**2 + q*t**3 + o and give q.
-4
Rearrange -2*g + 2625*g**3 + 0*g + 1 - 2629*g**3 + 3*g**2 + (g + 4*g - 3*g)*(3*g**2 - 7*g**2 + 0*g**2) to the form a + q*g**3 + z*g + l*g**2 and give l.
3
Express 265*t + 167*t - 151*t as k*t + a and give k.
281
Express ((-4 - d + 4)*(-5 + 5 + 1) + 12*d + 86*d - 16*d)*(5*d - 3*d - 3*d) in the form u*d**2 + r*d + g and give u.
-81
Express 665809*p + 4*p**2 + 1 - 665809*p - p**3 - 15*p**4 in the form z*p + c*p**2 + w + j*p**4 + m*p**3 and give c.
4
Rearrange 6*i**2 + 4 + 2 + 11*i**3 + 2*i - i**2 - 5*i**2 to p*i**2 + n*i + d + s*i**3 and give s.
11
Express -1 - 6*k**2 - 16*k + 4*k**2 - k**2 + 0*k**2 in the form c*k + m*k**2 + b and give m.
-3
Express -n**2 + 5*n + 0*n + 580*n**3 - 601*n**3 in the form g + m*n**3 + f*n**2 + o*n and give f.
-1
Rearrange -976*i | {
"pile_set_name": "DM Mathematics"
} |
0) + (-9903)/(-5). What is b rounded to the nearest one thousand?
2000
Let d = 96.4 - 33.4. Let b = d + -62.999802. What is b rounded to 5 decimal places?
0.0002
Suppose 2*d + 3*d + 287 = -4*v, 0 = 3*d + 5*v + 167. Let z = -50 - d. Let r be -32*(-3)/z*28500/2. What is r rounded to the nearest 100000?
200000
Suppose -z - 5*c + 1261 = 0, -z - 2*c + 1498 = 252. Suppose 3*h = -j - 3*j + 1236, j = 3*h - z. What is h rounded to the nearest ten?
410
Let n = 70921 - 71080.908. Let y = n - -160. What is y rounded to two dps?
0.09
Let d = 1872 - 1872.00009469. Round d to five decimal places.
-0.00009
Let o(s) = 1677*s**2 + 164*s - 376. Let x be o(22). Round x to the nearest 100000.
800000
Let n = -657 - -583.2. Let v = n - -60.2. Round v to 0 dps.
-14
Let t = 831647273.45 + -831647317.250000087. Let k = t - -43.8. What is k rounded to six decimal places?
0
Suppose 356165 = 11*v - 647145. Let u = v - -54790. What is u rounded to the nearest 100000?
100000
Suppose 3*n - 194947 - 86840 = 0. Suppose -23*v + 18*v - 789145 = 0. Let b = n + v. What is b rounded to the nearest ten thousand?
-60000
Let p = -0.116 + 0.052. Let n = p + 71.064. Let r = n - 71.039. Round r to two decimal places.
-0.04
Let i = -115.418 - -109.1671. Round i to the nearest integer.
-6
Let j(m) = -m**3 - m - 32. Let q be j(0). Let l be q/6*(-16 - 7109). What is l rounded to the nearest 100000?
0
Suppose 4*p = 4*m + 965482 + 93430, -6*p = m - 1588312. Round p to the nearest ten thousand.
260000
Suppose 12 - 57 = -5*n. Let i = 1510 + 3410. Suppose -5*v = -n*v + i. What is v rounded to the nearest 100?
1200
Let d = -48 - -46. Let v = d - -25. Let n = v - 23.000056. Round n to five decimal places.
-0.00006
Suppose 0 = 13*j - 73*j - 1492842031 + 450582031. What is j rounded to the nearest 1000000?
-17000000
Let z = 14.482 + -14.4. Let h = 7.822 - z. Round h to the nearest integer.
8
Let i = 4.82 - -3. Let y = -7.819166 + i. What is y rounded to 5 dps?
0.00083
Let h = -207 + 198. Let n = -37.08 - -46. Let p = n + h. Round p to one decimal place.
-0.1
Let n = -19500733 + 951733. What is n rounded to the nearest 1000000?
-19000000
Let h = -206885.0045 + 206734. Let i = h - -151. Round i to three dps.
-0.005
Let l = 0.3717995715 - 0.3718. Round l to 7 dps.
-0.0000004
Let u = 11646.9332 - 11651. What is u rounded to 1 decimal place?
-4.1
Suppose 4*x + 104 - 32 = 2*o, 0 = 2*x + 3*o + 52. Let j be (11 - -377239)*x/(-15). What is j rounded to the nearest 1000000?
1000000
Let b be 0*((-3)/(-24) - (-5)/24). Suppose b = -2*x - 4 + 10. Let l be (108/x)/(1/(-9)). Round l to the nearest ten.
-320
Let a(w) = -54563*w**2 + 83*w - 814. Let u be a(14). What is u rounded to the nearest one million?
-11000000
Let z = -77 + -124. Let q = 200.999999625 + z. What is q rounded to seven decimal places?
-0.0000004
Let v = -0.0499 - 89.3101. Round v to the nearest 10.
-90
Let a be (8/(-9))/(30/(-135)). Suppose 51300 = 7*k - 2*k + 4*t, -3*k + 30780 = -a*t. Round k to the nearest 100.
10300
Let s = -18500 - -20008. Round s to the nearest 1000.
2000
Suppose -n + h - 13 = -126, h = -n + 109. Let c(o) = 4*o**2 - 13*o + 12. Let p be c(8). Suppose -p = 5*y + n. What is y rounded to the nearest ten?
-60
Let v = 4719 + -4719.01147. Round v to 3 dps.
-0.011
Let i = 24521995.71000636 - 24521997. Let b = i + 1.29. Round b to 6 decimal places.
0.000006
Suppose -2*u = b + 54 + 25, -4*b + 35 = -u. Let r = u - -39. What is r rounded to five decimal places?
0
Let w = 0.963471 + -0.8602. Round w to two dps.
0.1
Let b = 2.6 + -0.3. Let o = 27448.7049 - 27451. Let x = b + o. Round x to 3 decimal places.
0.005
Let r = -35.64 - -39. Let k = r - 3.3600215. Round k to 5 dps.
-0.00002
Let d = -0.0155 + -0.3145. Let l = -71.3205501 - -71.65055. Let m = d + l. Round m to six dps.
0
Let j(u) = 63*u**2 - 4*u + 8. Let p be (-6)/15 - (-27)/5. Suppose 5*d + 28 = 2*r, -2*r + 3*d = -p*r. Let a be j(r). Round a to the nearest one hundred.
1000
Let j = -0.320138 + 0.318. Round j to 4 dps.
-0.0021
Let i = 2692 + -2872.3. Let q = i - -164. Let v = 15.992 + q. Round v to 2 decimal places.
-0.31
Let v(m) = m**3 + 7*m**2 + 1. Let y be v(-7). Let s(o) = -201*o**2 + 2*o - 3. Let w be s(y). Let d = 291 + w. Round d to the nearest 10.
90
Suppose 172*g - 10466495790 = -1266559790. What is g rounded to the nearest one hundred thousand?
53500000
Suppose -6*u + 4*p = -u - 15758528, -2*u = -2*p - 6303412. Suppose -71*x + u = -69*x. Let r = x - 2405852. Round r to the nearest 100000.
-800000
Let j = 1103 + -1107.77. Let z = j - -4.7802. What is z rounded to two decimal places?
0.01
Suppose -4*c + 320594 - 60910 = 0. Let i(t) = 3*t + 18229 + c + 17456 - 10606. Let w be i(0). Round w to the nearest 100000.
100000
Let n be 124251/5 - (1/25)/((-138)/(-690)). What is n rounded to the nearest one thousand?
25000
Let f = -167.3 - -2469.3. Let q = 2301.99023 - f. Round q to four dps.
-0.0098
Suppose 31 = 5*x + 3*q, 5*x + q - 3*q - 21 = 0. Suppose -5*g + 325000 = x*g. Round g to the nearest 1000.
33000
Let j = -462 + 478. Suppose -j*c + 31*c = 2869500. What is c rounded to the nearest 100000?
200000
Let f = -1.33 + 2.55. Let s = f + -1.506. What is s rounded to 2 decimal places?
-0.29
Suppose 1397951 = 8*w - 629545. Let s = w + -154137. Round s to the nearest 10000.
100000
Let h = -34.95 + 36. Let n = 228 - 217.55. Let y = n - h. Round y to 0 dps.
9
Let h(z) = 2246*z - 7. Let i(r) = 4*r**3 + 53*r**2 + 13*r - 1. Let a be i(-13). Let l be h(a). What is l rounded to the nearest one hundred?
-2300
Let k = 14202.234 - 14202. Round k to the nearest integer.
0
Let z = -96367 + 96366.35531. Round z to one decimal place.
-0.6
Let k = -25218141994.00000319 + 25218141773. Let w = k + 221. What is w rounded to seven decimal places?
-0.0000032
Let l = 36978.382 - 36936. Let u = -41.62922 + l. Let x = -0.75 + u. What is x rounded to 4 decimal places?
0.0028
Let i(u) = u + 8. Let o be i(-6). Suppose 2*c = w - 13, -11*w = -7*w + 2*c - 22. Suppose w*z - o*z = -3900000. What is z rounded to the nearest 100000?
-800000
Let s(p) = -258419*p**2 + 183*p - 14. Let n be s(6). What is n rounded to the nearest 1000000?
-9000000
Let d = -3.68 - -0.53. Let u = -59.1 + 59.35. Let o = d - u. Round o to zero decimal places.
-3
Let r = -10073.0000018289 + 10073. Round r to 7 decimal places.
-0.0000018
Suppose 3*w - 4*p = -3647408, -p = 5*w + 6724491 - 645493. What is w rounded to the nearest one hundred thousand?
-1200000
Let b = 49 + -48. Let q(j) = j**2 - j - 1. Let p(l) = -281*l**2 - 5*l - 17. Let f(m) = b*p(m) - 3*q(m). Let v be f(-9). Round v to the nearest 10000.
-20000
Let a = 1621 - 1621.00009822. What is a rounded to 5 decimal places?
-0.0001
Let x = -38647644 - -25381744. What is x rounded to the nearest one million?
-13000000
Let j = -0.083566 + -622.426434. Round j to the nearest 100.
-600
Let l = -845 - -1311. Let h = l - 571.4. Let w = -105.400467 - h. What is w rounded to 5 decimal places?
-0.00047
Let b = 11193 + -11192.72235. What is b rounded to 2 decimal places?
0.28
Let q = -2718.17 - -2724. Round q to 1 decimal place.
5.8
Let x = -39 - -38.62. Let w = 0.2796 - -0.0104. Let c = x + w. What is c rounded to two dps?
-0.09
Let m = -525 - -527. Let l be ((17 - m)*-48)/((-5)/(-225000)). Round l to the nearest 1000000.
-32000000
Let g = 0.05408 - 0.0540691962. Round g to seven dps.
0.0000108
Suppose 7*y - 29 = 3*y + 5*o, -2*y - 5*o + 7 = 0. Suppose 0 = 4*d + 5*r - 61999975, -2*r + 77500020 = 5*d - y*r. Round d to the nearest one million.
16000000
Let p(o) = -72*o - 25. Let d be p(5). Let z = d - -505. Round z to the nearest 100.
100
Suppose -325*d = -11772603 - 6959747. What is d rounded to the nearest one hundred?
57600
Let n = -443314 + 443313.9010005. Let f = 20.77 - 20.671. Let a = f + n. Round a to seven decimal places.
0.0000005
Let p = 4856 + -446. Let d = 4380.77 - p. What is d rounded to the nearest integer?
-29
Suppose 43*g + 14*g + 6000186307 + 368423693 = 0. What is g rounded to the nearest one million?
-112000000
Let d = -0.016719697 - -0.016696. Round d to 7 decimal places.
-0.0000237
Let m = -8439 + 8442.589. What is m rounded to zero dps?
4
Let o = 138982.99875934 - 138983. Round o to five decimal places.
-0.00124
Let b = 19593 - 19593.012359. Round b to 4 decimal places.
- | {
"pile_set_name": "DM Mathematics"
} |
is positive.
l**(-272/63)
Simplify ((l**3/l)/l)**35*(l/(l**11*l))/(l**9/l) assuming l is positive.
l**16
Simplify (v**10/(v**14/v*v))/((v/v**(-4/3))/v*v*v*v*v*v**(-3/4)*v) assuming v is positive.
v**(-115/12)
Simplify (o/((((o**(-4)*o)/o)/o)/o))**(-38)/(o*o**(1/15))**7 assuming o is positive.
o**(-4102/15)
Simplify (o**(-4/9)*o)**(-41)*o**(-22)*o*((o*o**(-2/11)*o*o*o)/o)/o assuming o is positive.
o**(-4154/99)
Simplify ((h/h**3)/h**1*h**(1/3)*h*h*h**3)**(3/11) assuming h is positive.
h**(7/11)
Simplify (((h/h**(1/6)*h)/h)/h)**(-26)*(h/h**4)**(4/7) assuming h is positive.
h**(55/21)
Simplify ((q/q**(-1/5)*q)**(3/2))**44 assuming q is positive.
q**(726/5)
Simplify (((j**2/j)/j)**24*j*j/j**6*j**(-9))**(-3/8) assuming j is positive.
j**(39/8)
Simplify ((v/v**4*v)/(v*v**7))/((v**9*v)/v*(v*v/(v**(-4/17)*v))/v) assuming v is positive.
v**(-327/17)
Simplify y**(-4/3)/y**(2/9)*y*y**(-1/9)*y/y**2 assuming y is positive.
y**(-5/3)
Simplify ((y/(y**1*y*y))**(-33)/((y**(-2/3)/y)/(y/y**(-2))))**(4/11) assuming y is positive.
y**(848/33)
Simplify (g**(17/4)/(g*g**(7/6)/g*g))/(g**(-22)*g**(-1/3)/g) assuming g is positive.
g**(305/12)
Simplify (v**0/v*v**(-1/11)*v*(v**(1/5))**26)**(-15/8) assuming v is positive.
v**(-843/88)
Simplify (g**(-12))**(23/4)/(g**(2/11)/g**(1/7)) assuming g is positive.
g**(-5316/77)
Simplify ((w/w**(-9/5)*w)/w*w**(5/4))/(w**23*w**(2/9)) assuming w is positive.
w**(-3451/180)
Simplify w**19/w**8*((((w/w**(-1/3))/w)/w)/w)/w*w**(-2/3) assuming w is positive.
w**(23/3)
Simplify (x*x**(-17)/x)**(-14)/((x/x**(-34))/(x/x**(-32))) assuming x is positive.
x**236
Simplify (y/y**(8/3)*y**(-4/13))/(y**(-2))**(10/11) assuming y is positive.
y**(-67/429)
Simplify u**(-2/3)*u/u**(-2)*(u*u*u**(-3))**(-4/17) assuming u is positive.
u**(131/51)
Simplify ((m**1)**(3/2)/(m**(-4)*(m*(m**(2/9)*m)/m)/m*m*m))**(-32) assuming m is positive.
m**(-944/9)
Simplify (t**(2/15))**(1/39)/((t*t/t**(2/9))/(t*t**12)) assuming t is positive.
t**(2189/195)
Simplify ((z/(z**5*z))/z**1*(z*z**(-1/3))/z*z**(-1))**41 assuming z is positive.
z**(-902/3)
Simplify (((t/(t**0*t))/(t**(-2/11)/t))**8)**34 assuming t is positive.
t**(3536/11)
Simplify p**(1/30)/(p*p**(-11/6)/p)*((p/p**(-1/8))/p)**35 assuming p is positive.
p**(749/120)
Simplify ((u**26/u)/(u*u**(1/28)))/((u/u**(-2/33))/((u/(u/(u**(-1/2)/u)*u))/u*u)) assuming u is positive.
u**(18853/924)
Simplify ((y/(y/y**(-19/2)))/(y/y**(-17)))/(y**(-4/5)/y)**(23/3) assuming y is positive.
y**(-137/10)
Simplify (u*u**(2/19)*u*u/u**(-3/4)*u**(-1/8)/((u/(u*u**(-8)*u*u))/u))**13 assuming u is positive.
u**(-2509/152)
Simplify w**9*w*((w*w**(-11))/w)/w*(w*w**(-8))/w**(-1/4) assuming w is positive.
w**(-35/4)
Simplify ((f*((f/(f/(f*f/f**(-30)*f)))/f)/f)/f**(1/5))/(f**(12/5)/f*f*f*f/(f*f**21)*f) assuming f is positive.
f**(242/5)
Simplify ((k**37*k)**(-2))**(-31) assuming k is positive.
k**2356
Simplify (v/(v/((v*v/(v*v**(-1)*v))/v)))**(-18/5)/((v/(v**(2/9)/v*v))/((v**8/v)/v*v)) assuming v is positive.
v**(56/9)
Simplify (((f*f/((f*f**(1/4)*f*f)/f))/f)**(-27)/(f**(-1/2))**(-12))**(-2/101) assuming f is positive.
f**(-111/202)
Simplify l**12*l*l*l**(4/9)*l**(-13)*l*l**(-12) assuming l is positive.
l**(-86/9)
Simplify (m/(m*m**1/m))**10/((m/(m*m**17)*m)/m*m*m**(-4/11)*m*m) assuming m is positive.
m**(158/11)
Simplify f**(-5)*f**(4/7)/f*(f**(-7))**(-2/39) assuming f is positive.
f**(-1384/273)
Simplify (f**(-7/2)*f*f*f**4/f*f)/(f**2*f)**(-42) assuming f is positive.
f**(257/2)
Simplify ((((i**(3/5)*i)/i)**(17/4))**(3/28))**(2/39) assuming i is positive.
i**(51/3640)
Simplify (a*a/((a/(a*(a*a**(-13))/a*a))/a*a)*a*(a**(-2/13)/a)/a)**(-2) assuming a is positive.
a**(290/13)
Simplify (f**(1/4)*f)**(11/6)/((f*f**0)/f*f**1) assuming f is positive.
f**(31/24)
Simplify (i**(-1)*i**(1/2)*i**(-2/11)*i**(-1/9)*i)**(1/7) assuming i is positive.
i**(41/1386)
Simplify ((z**(1/2)/z)/z)**28/(z*z*z**(-1)*z*z*z/(z*z**(3/4))) assuming z is positive.
z**(-177/4)
Simplify w**(-3/10)/(w/(w**(-5)*w)*w)*(w**8)**(7/4) assuming w is positive.
w**(77/10)
Simplify ((m**(5/3)/m**(3/5))**29)**(29/2) assuming m is positive.
m**(6728/15)
Simplify (x/(x/x**(-14)))/x**(5/8)*(x**(-5))**(1/24) assuming x is positive.
x**(-89/6)
Simplify ((i*(i**(1/2)/i)/i)**(3/14)*(i**(-1))**(1/9))**(-1/30) assuming i is positive.
i**(11/1512)
Simplify (d**(1/3)*d)/d*d*d/(d*d**(-7/3)*d)*d*d*d*(d**(-2))**(-38) assuming d is positive.
d**(245/3)
Simplify (l**(2/11)*l**(1/3)*(l**(-3/2))**(-2/15))**(-7/9) assuming l is positive.
l**(-826/1485)
Simplify (((u*u**(2/3)*u)/u)**(1/14)*u/u**(1/4)*u*u**5)**(1/37) assuming u is positive.
u**(577/3108)
Simplify (d/((d/(d*d**(-9)/d))/d))**(-2/29)*(d/(d**13*d))**30 assuming d is positive.
d**(-11294/29)
Simplify (k*k**1*k)**44/(k**(-4))**(5/6) assuming k is positive.
k**(406/3)
Simplify (j**(-14))**32*(j**(-9)*j)/j*j*(j/(j*j**23/j))/j assuming j is positive.
j**(-479)
Simplify (d*d*d/((d*d*d**(2/7))/d)*d*d**(11/5))/((d**(-1/17)/d*d)/d)**(-42) assuming d is positive.
d**(-23536/595)
Simplify (j**(-3/17)*j)/(j/j**9)*j*j**(-17)*j/((j/(j/(j/((j*(j/(j*j/(j**(1/25)*j)))/j)/j)*j*j)))/j) assuming j is positive.
j**(-3883/425)
Simplify u/((u*u*u**22)/u*u)*u**(3/2)*(u/u**(-7/4))**23 assuming u is positive.
u**(167/4)
Simplify o**(-3)/o**(2/27)*o/(o*o/(o/(o*o**15/o))*o)*o*o**(-20) assuming o is positive.
o**(-1028/27)
Simplify (f*(f**1/f)/f)**45*f/(f/(f*f/f**(2/41)))*f*f**(-2/7) assuming f is positive.
f**(765/287)
Simplify (c**(-2/11)/((c*c**(-3/5)/c)/c*c))/((c/(c/c**(-4)))/c)**(-1/29) assuming c is positive.
c**(392/1595)
Simplify ((((l*l/l**(-5/2))/l)**4)**(1/17))**(3/8) assuming l is positive.
l**(21/68)
Simplify ((q*q*q**0)**(29/5)*((q**(-3)/q)/q)/(q*q**(7/5)))**(10/7) assuming q is positive.
q**6
Simplify (a*a**(-2))**(-4/39)/(a*a**(-1/2))**(-37) assuming a is positive.
a**(1451/78)
Simplify ((x**(1/12)*x)/x*x**(-10)/x)/(x**(-12)/(x**(-1/25)*x)) assuming x is positive.
x**(613/300)
Simplify t**(-1/2)*t**9*(t**9*t)/t**3 assuming t is positive.
t**(31/2)
Simplify (k*k**11)/k*k*k/(k/(k*((k/k**2)/k)/k*k))*k**3*k**(-3/8) assuming k is positive.
k**(109/8)
Simplify (d**(-1/11)/d**(-5))/((d**(-11)/d)/(d/(d/((d/(d*d/(d*d**(-5/4)/d)*d))/d)))) assuming d is positive.
d**(557/44)
Simplify ((c*c**(-1/13))/c**(-1/29))/((c**(-3/2)/c)/c)**38 assuming c is positive.
c**(50502/377)
Simplify (q*q**(-10/7))**(-43)*(q**(-19))**(10/3) assuming q is positive.
q**(-943/21)
Simplify ((s**(-1/2)*s**(-9))/(s**0)**(3/20))**15 assuming s is positive.
s**(-285/2)
Simplify ((j**(-8))**(1/30))**(-2/9) assuming j is positive.
j**(8/135)
Simplify (c*c*c/(c*c/(c/(c*c*(c*c/(c/c**(2/21)))/c*c))))**(-24)*(c*c**(-7)*c)**(-34) assuming c is positive.
c**(1374/7)
Simplify ((((n**(-18)/n)/n)/n)/n**(-2/9))/((n**(-10)/n)/(n*n**(-11/5))) assuming n is positive.
n**(-494/45)
Simplify (b**27/(b/(b/b**(-33)*b)))**(-15) assuming b is positive.
b**(-915)
Simplify ((z*z**(-3/8))/(z*((((z**5/z)/z*z)/z*z)/z*z)/z*z)*z*z/(z/(z*z**(-2)))*z**(3/2)/z)**(3/2) assuming z is positive.
z**(-93/16)
Simplify (((g*g/g**(-23)*g)/g)**(-2/87))**(4/5) assuming g is positive.
g**(-40/87)
Simplify z/(z/z**3)*z/(z/(((z*z**(1/2)/z)/z)/z*z))*(z*z**13*z)/z**(-2/5) assuming z is positive.
z**(179/10)
Simplify ((l**(5/4)*l/(l**(4/7)*l*l))/((l*l**(-1)/l)/l*l*l*(l/l**7)/l))**(-2/41) assuming l is positive.
l**(-187/574)
Simplify ((y**(-21)*y)**47)**(-36/11) assuming y is positive.
y**(33840/11)
Simplify (r/r**27)/(r*r/r**(-6/25))*r**(-8)*r/(r/(r/(r/r**(3/16)))) assuming r is positive.
r**(-14421/400)
Simplify (c**(-3/4)/c)**7*c/(c**(-1/19)*c*c)*c*(c/c**(6/17))/c*c assuming c is positive.
c**(-14923/1292)
Simplify ((d/(d**13/d))/d**(-24))**17 assuming d is positive.
d**221
Simplify ((u**(7/5)/(u*u*u/(u/(u*u/(u*(u/u**(-2/7))/u)))*u))**(-2))**(-1/26) assuming u is positive.
u**(-81/455)
Simplify (v**(-1))**28*((v*v**(-15))/v)/(v/((v/((v**14/v*v)/v))/v)) assuming v is positive.
v**(-57)
Simplify (l**0)**(-19)*(l/l**(-2/27))/(l/l**(-2)) assuming l is positive.
l**(-52/27)
Simplify (((x**(-4/11)*x)/x)/x*x**11)/(x*x/((x*x*x**(12/7))/x)*x**12) assuming x is positive.
x**(-127/77)
Simplify (r**(-9)*r**(-4/11))/((r*r**(-10))/r**(-11/4)) assuming r is positive.
r**(-137/44)
Simplify ((((g/((g**(3/4)*g)/g*g))/g)**18)**15)**43 assuming g is p | {
"pile_set_name": "DM Mathematics"
} |
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