text
stringlengths 270
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492403.
5.0892403
Sum 1225 and 4224.44.
5449.44
1602109746 - -1
1602109747
What is the distance between 113960.3 and -9?
113969.3
What is -6.3815 - 64.719?
-71.1005
What is -1.4881 + 15.24?
13.7519
Total of -23.897531 and 132.
108.102469
What is the distance between -543963.191 and -0.1?
543963.091
What is the distance between -0.455 and -596930?
596929.545
Add together 8.2142677 and 2.
10.2142677
81 - 150046509
-150046428
Total of -34132488 and -3.
-34132491
Calculate 1838 - -12173.
14011
What is -300709.324 - 360?
-301069.324
-36360 - -649923
613563
Put together 583653 and -12.35.
583640.65
Add 0.198 and 5054.8157.
5055.0137
What is 4.29 minus 852.537?
-848.247
Work out -264.904 - 0.58.
-265.484
Add together -1.14 and -0.159820549.
-1.299820549
What is 516893164 less than 0.5?
-516893163.5
Subtract -6 from -106.15226004.
-100.15226004
Subtract 12455719 from 0.02.
-12455718.98
Work out -734513 - 4.
-734517
What is 161.084 + -372687?
-372525.916
Subtract -124 from 98344.3952.
98468.3952
Add 0.5 and 337624671.
337624671.5
What is 0.00035 take away -10.541?
10.54135
Work out -40485735 - -0.14.
-40485734.86
Work out 12 - -252287.1.
252299.1
Work out -145361 - -3489.
-141872
What is -0.6 + 0.038303605?
-0.561696395
Total of -13411 and 371612.
358201
Calculate -787618 - -75999.
-711619
Put together 1388277 and -0.31.
1388276.69
Calculate 0.3 + 94.43319.
94.73319
What is -2188339 plus -285?
-2188624
What is 4.578901501 plus -4?
0.578901501
What is -980047094 take away 4?
-980047098
Add -346.322 and 16145.
15798.678
Calculate -0.24 - 1210594.
-1210594.24
Calculate 128326 + -58704.
69622
What is -220 + 2.159234?
-217.840766
What is -71 - 926986?
-927057
What is -0.62 less than -3436831.1?
-3436830.48
Subtract 3164 from 21.128.
-3142.872
Put together -0.1 and -146053.945.
-146054.045
What is the difference between -1.2 and -3489.81?
3488.61
Work out -1960502 + 67.
-1960435
What is the difference between -4308.6 and -122?
4186.6
Calculate -24.9337328 - 0.057.
-24.9907328
Work out 22987 + -17915.
5072
Work out -845.09213 + -6.
-851.09213
What is -95.2 + -2042.3?
-2137.5
What is 15.24 take away -173966?
173981.24
159 - -6292.5
6451.5
What is the distance between 41898.75 and -2?
41900.75
Subtract 0.53 from 2750.51822.
2749.98822
Total of 0.4 and -3713502.
-3713501.6
Work out -1.8 - -111784.9.
111783.1
Add -0.0007095539 and -0.3.
-0.3007095539
What is 20372678 + 1?
20372679
Add together -4211705 and 20.
-4211685
-27797+-1009081
-1036878
What is 15 minus -368934629?
368934644
What is 27.859905 plus -0.08?
27.779905
Calculate 72.8483 + -11694.
-11621.1517
Work out -20702.1 + 0.38.
-20701.72
What is 0.3 less than 61653086.3?
61653086
32665.347 - 0.4
32664.947
Add together -0.06087 and -0.0726.
-0.13347
Total of 0.4 and 95776221.
95776221.4
Add together 0.3166615 and -8.299.
-7.9823385
9441 + 1658
11099
23623+31625
55248
Work out 5.48 - -0.86055.
6.34055
Add 5.153854 and 404.
409.153854
Add -168369 and 181723.
13354
What is 66834 less than -0.21113?
-66834.21113
What is the distance between -0.9 and -112508?
112507.1
-319729.26 + 1
-319728.26
What is -0.08 + 25173611.1?
25173611.02
Calculate 36708 + -0.035105.
36707.964895
What is -5 less than 2804992?
2804997
What is -32.08 minus 0.00315?
-32.08315
Calculate 188 + -468181.
-467993
Add together 75795605 and -159.
75795446
Work out 16932 - 0.1035.
16931.8965
What is the distance between 25 and 44775435?
44775410
What is -677 less than 0.396751?
677.396751
-0.13542 + -0.0239
-0.15932
Work out -0.0526 + -5.4889.
-5.5415
What is 0.2 plus 43771666?
43771666.2
Add 153385852 and -0.4.
153385851.6
What is 1.93 plus -2351.6361?
-2349.7061
Add together -1979.6022471 and 2.
-1977.6022471
What is -10914 take away -0.03832?
-10913.96168
Work out 574504 + -395.
574109
What is the distance between 3.591 and -0.27371?
3.86471
Add together -94 and 428.284472.
334.284472
What is 0.5795616852 + -0.15?
0.4295616852
Put together 2183 and 1119876.
1122059
-0.05248425431+-0.04
-0.09248425431
What is 5 less than -0.0517187?
-5.0517187
What is 212970865.97 less than -0.3?
-212970866.27
What is the distance between 6228.281 and -3221?
9449.281
What is -234910 take away -41667?
-193243
Subtract 5215903 from 25.
-5215878
Total of 154 and -2394.969.
-2240.969
Add together -0.37 and 15339031.
15339030.63
Add 5 and 23226998.
23227003
What is -27518888497 plus 3?
-27518888494
What is 1331.9995 - 50?
1281.9995
-203658967 - 0.1
-203658967.1
What is 26125444 less than -0.178?
-26125444.178
What is the distance between 0 and 0.050569775?
0.050569775
Work out -0.3 + -80.80171138.
-81.10171138
What is -21072 minus -59.96889?
-21012.03111
What is 1 - 1402009200?
-1402009199
What is 0.0373457 plus 0.96?
0.9973457
Total of -9844 and 1709.
-8135
Add together -6 and 29655295.
29655289
What is 4 less than 34.4573?
30.4573
What is -7749.1 less than 2.4808?
7751.5808
What is the distance between 135303476031 and -0.4?
135303476031.4
What is -2264 take away -31.90215?
-2232.09785
Add together 31527062.41 and 0.
31527062.41
What is the difference between -25 and -1025433?
1025408
What is -107054 plus 31?
-107023
11.3807+-2204
-2192.6193
What is -112516.23 less than 0.015?
112516.245
What is -7280 minus 97929?
-105209
What is -951.97 minus 4821?
-5772.97
What is 29.575 less than 1281826?
1281796.425
-10.61161 + 8
-2.61161
What is 0.24 plus -326.6088341?
-326.3688341
Total of 180862529 and -2.
180862527
Subtract 334.3569 from -278.
-612.3569
Add together 55021.92 and 503.
55524.92
What is -211000674 - -8?
-211000666
Work out 0.008374 + -0.0524.
-0.044026
What is 1 minus -1.9561133262?
2.9561133262
What is -797421 minus 1069?
-798490
What is 30 minus -61110441?
61110471
What is -361957 take away -0.4?
-361956.6
Put together -3 and -707.352495.
-710.352495
What is -57.36916 - 1.71?
-59.07916
Work out -1087 - 30610.4.
-31697.4
5 - 6662120.54
-6662115.54
Subtract 369337 from 1.48.
-369335.52
What is -26483957 take away 0?
-26483957
Calculate -32.7 + 170282.
170249.3
Add -1.1 and -292936177.
-292936178.1
What is 97213 less than -16388?
-113601
Add -636318.1 and 0.07941.
-636318.02059
What is 1 less than -2295812609?
-2295812610
What is the difference between -238580.8 and -10?
238570.8
What is 16418280 minus 277?
16418003
What is -22 minus 0.12393952?
-22.12393952
What is the difference between -41.6 and 33030?
33071.6
What is 0.4 less than -92640272.5?
-92640272.9
What is 4395163112 minus -0.05?
4395163112.05
What is -0.2 + 525980749?
525980748.8
Sum -2 and 16.493715928.
14.493715928
Calculate -1006 + 953087.
952081
What is 19965 plus -0.099?
19964.901
Calculate 612 - -148.81119.
760.81119
Work out -0.2 - 461.232631.
-461.432631
Work out 9590.7889 - 0.015.
9590.7739
Add together -41137 and -875.82.
-42012.82
What is the difference between 10145941 and -0.66?
10145941.66
1 - -6270134848
6270134849
Add 28 and 311038.
311066
Calculate -15575.2 + 1.26.
-15573.94
Add 43 and 371109295.
371109338
Work out -531 - -7221.65.
6690.65
Subtract 65143 from -5989.1.
-71132.1
What is -0.1 less than -2249482853?
-2249482852.9
What is the distance between 2 and 80517663044?
80517663042
Work out 0 + -8755178.
-8755178
What is the difference between -1.126 and -92419?
92417.874
-107 + 4702134
4702027
Add together -13 and -21.14783.
-34.14783
What is the distance between 3760 and -0.108629?
3760.108629
What is 11.124 minus 0.249122?
10.874878
Work out -10.2219 - 214.747.
-224.9689
What is -3 - -30905107?
30905104
What is 326.74133 plus -4?
322.74133
What is 313622858 less than 1.3?
-313622856.7
What is 0.2 + -0.04191453?
0.15808547
Sum -245681.799 and -1.
-245682.799
-0.17+-0.2962719
-0.4662719
Total of 0.2 and 11266948508.
11266948508.2
-302.12+-708
-1010.12
Total of -7.542 and 690075.
690067.458
Sum 4966703.072 and -1.
4966702.072
What is -45 + 21039236?
21039191
What is -0.033177 less than 1431.27?
1431.303177
-138544814+2
-138544812
What is -4.522 - 2.724?
-7.246
176 + -5928417
-5928241
Calculate -3 + -12192904.
-12192907
Put together -0.4 and -3388069.325.
-3388069.725
Work out -1527.9 + -2271.
-3798.9
Add -6.12267 and 0.9.
-5.22267
What is 0.1 take away 34386700?
-34386699.9
What is -0.024753 take away 0.00018?
-0.024933
Calculate 19228 - 3.1925.
19224.8075
Add 8454666 and
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{
"pile_set_name": "DM Mathematics"
}
|
248 + 6/1031. Let s be 74*52 + -6 + 5. Let r = 34549/9 - s. What is the common denominator of r and z?
72
Let i = 404 - 13029/32. Let r = -1385/672 - i. Find the common denominator of 85/36 and r.
252
Calculate the common denominator of -41/4 and (790/112 + -7)/((-8)/(-42)).
32
Let m(p) = p**2 + 26*p + 34. Let b be m(-18). Let l = b - -132. Calculate the common denominator of l and 4/14 - (-17)/(-7).
7
Calculate the common denominator of 22*(-70)/300 + (-8)/10 and -157/180.
180
Suppose 5*j - 3*o = 59, 4*j - 2*o - 36 = j. What is the lowest common multiple of 52 and j?
260
Find the common denominator of (-1539)/2241*(-2 - (-10)/6) and -55/3.
249
What is the smallest common multiple of 120 and ((-376)/235)/(3/(-450))?
240
Let m be ((-4)/(-3))/(84/986). Let t be (-94)/(-18) + 2 + 0. Let p = t - m. Find the common denominator of -19/9 and p.
63
Suppose 0 = -4*h + 5 + 3. Suppose -2*c + h = -3*w + 2*c, w + 2*c - 16 = 0. Calculate the lowest common multiple of 14 and w.
42
Let q be 0/(-2 - (-6 + 2)). Suppose -4*o = v - 52, v = o - 3*v + 4. Let z = q + o. Calculate the lowest common multiple of z and 20.
60
Let z be (-18)/42 + (-14012)/168. Let v = z + 84. Find the common denominator of v and -3/8.
24
Let c = -5 + 19. Let o(d) = 10*d - 6. What is the smallest common multiple of o(2) and c?
14
Let g = -4/3979 + 2849008/43769. Let c = g - 14441/220. Find the common denominator of ((-2)/(-16))/(4/58) and c.
80
Let b be ((-208)/(-1105))/(18/(-200)). Let i = 7841/1530 + b. What is the common denominator of i and 41/21?
210
Let v be (1 + -67)*(-1)/3. Calculate the common denominator of 24 - v - 41/(-10) and -11/20.
20
Suppose -2*n + 3*m = 1084 + 1983, 2*n + 3077 = m. Let i = 3025/2 + n. What is the common denominator of 107/20 and i?
20
Let p = -7506 + 45139/6. Calculate the common denominator of 64/21 and p.
42
Let k(t) = 2*t**2 - 6*t - 2. Suppose -4*p = 5*h - 30, -5*h + 25 = 3*p - 0*h. What is the smallest common multiple of k(p) and 16?
144
Let n = 69 + -66. Suppose 7 = -z + n*x + 2*x, 4*z - 18 = -3*x. What is the least common multiple of z and 30?
30
Let o be 619/(-6)*2/4. Let a = o - -49. Calculate the common denominator of a and 55/14.
84
Calculate the common denominator of (-1)/6*2134/44 and 69/268.
804
Let s(r) = -34*r**2 + 140. Calculate the smallest common multiple of 238 and s(0).
2380
Let c = 21995011/192 + -114557. Find the common denominator of 133/72 and c.
576
Suppose 4*x = -k + 114, x - 2*k = 22 + 2. What is the least common multiple of 4 and x?
28
Let z = 10 + -7. Suppose 0 = -3*l + 28 + 2. What is the least common multiple of z and (11/(-2))/(l/4 + -3)?
33
Find the common denominator of -10/21 and (-8)/(-52) + (-4 - 31549/(-12012)).
924
Let g(a) = -13*a - 37. Let l be g(-3). Let c = 160763/14700 - 24/1225. What is the common denominator of 82/12*((-39)/(-24) - l) and c?
48
Suppose -3*d + 3*h = -13 + 31, -5*d - 3*h = 22. Let b be (-1420)/2*2/(-4). Find the common denominator of 83/2 and d/(-40) + b/(-200).
20
Find the common denominator of (-30 - -25) + 0 + 149/16 and -91/730.
5840
Suppose 11*p = 8*p - 26784. Let g = p - -241019/27. Calculate the common denominator of 55/18 and g.
54
Let m be (-9)/(-3) - (-1 - -1). Suppose -m*d = -2*y - 2*d + 56, -d - 30 = -y. Calculate the smallest common multiple of 1 and y.
26
Let l = 34390 - 928420/27. Let k = -518125/27 + 19192. Let u = k - l. What is the common denominator of u and -26/5?
45
Let m be 2/4 - 2/4. Suppose -2*x - 20 = -g, m = -3*x + 4*x. Suppose 5*l = 5*j - 30, -5*j - 5*l = -3*l - 44. What is the smallest common multiple of j and g?
40
Let m = -2280 - -31905/14. What is the common denominator of 53/44 and m?
308
Let u = 204 + -55. Let q = u - 146. Calculate the least common multiple of 30 and q.
30
Calculate the common denominator of (-12)/18*1 + (-514)/(-366) and -13/5.
305
Suppose -2*d + 2*t = -t + 4, -3*t = 5*d + 31. Let a = d - -9. Calculate the least common multiple of 2 - -2 - 12/(-1) and a.
16
What is the least common multiple of 5/(-10)*5*3344/(-55) and 152?
152
Let a = 361 - 343. Calculate the least common multiple of a and 5.
90
Let h = 3542 - 35389/10. Find the common denominator of (-229)/5267*(59/(-2) + 1) and h.
230
Let r be ((-5)/(-20))/((-2)/(-16)). Calculate the common denominator of 2 + -1 - (-210)/(-44) and (-84)/40 + (-6)/r.
110
Let q = -19 + 30. Suppose -21 = -2*u + 3*y, y + 3*y + q = -3*u. Calculate the smallest common multiple of 7 and u.
21
Let z be ((-2 - -5)/(-3))/(-1). Let k be z*(4 - 1 - 3). Suppose k = 2*m - m + 49. Find the common denominator of m and -1/2.
2
Let s(b) = 16*b. Let d be s(-5). Let i = 110 + d. What is the lowest common multiple of 14 and i?
210
Let g = 51/4 - 13. Let b be 18*89588/176 - 3. Let q = -9161 + b. Find the common denominator of g and q.
44
Let d = 463 - 220. Suppose 10*y - d = y. What is the least common multiple of y and 21?
189
Suppose 24 = 4*m - 4*l, 41*m - l - 34 = 36*m. Calculate the smallest common multiple of m and 1.
7
Calculate the common denominator of 109/12 and (-212)/8*(-6)/(-39) + 3.
156
Let o be (1 + (3 - 4))*(-2 - -1). Suppose -232 = -5*t + p, 4*p = -4*t - o*p + 176. Calculate the common denominator of 149/12 and t.
12
Suppose n = 14 + 56. What is the lowest common multiple of 4 and n?
140
Let y(z) = 3*z**2 + 2*z - 27. Suppose 2*i + 12 = 2. What is the least common multiple of 22 and y(i)?
418
Suppose -5*b - 3*f + 35 = 0, 5*b + 5*f = 4*f + 45. Suppose 2*m + c = 4*c + 19, 0 = m + 5*c - 29. What is the smallest common multiple of m and b?
70
Let f = 410 + -395. What is the lowest common multiple of 9 and f?
45
Suppose 0 = -163*q + 157*q + 42. Calculate the least common multiple of q and 224.
224
Let d(s) = s + 15. Suppose -2*l + 3*r - 2 = 0, -6*l + r - 14 = -2*l. Let b be (l - 3)*-2 - 3. Calculate the smallest common multiple of d(b) and 10.
130
Suppose -d - 5*a = -3*a - 11, 0 = a - 1. Suppose o + d = 27. What is the lowest common multiple of 21 and o?
126
What is the lowest common multiple of 11 and 8/(-176)*2 + (-24)/(-22)?
11
Suppose -5*q = 3*n - 50, -5*n - 3*q + 7*q + 71 = 0. What is the lowest common multiple of 50 and n?
150
Let i be (45/(-7) + -2)*-22. Let j = i + -14096/77. What is the common denominator of j and 57/7?
77
Suppose 10 = 2*n, 3*u - 3*n - 61 = n. Suppose -11 = 26*t - u*t. What is the least common multiple of t and 2?
22
Let x = -24061158323/10 - -2408922401. Let b = -2803865 + x. Let c = -2701 + b. Find the common denominator of -99/16 and c.
80
Let t(o) = o**3 - 19*o**2 - 22*o + 44. Let d be t(20). Suppose d*k - 1 = 79. Calculate the smallest common multiple of k and 2.
20
Let l = -2073029/8249778 + 3/39854. What is the common denominator of 43/30 and l?
2070
Suppose 622*n = 635*n - 468. Calculate the lowest common multiple of 18 and n.
36
Suppose -8*t + 28 - 12 = 0. Suppose t*k - 2*s = 6*k + 402, -2*k - 5*s - 213 = 0. Find the common denominator of 1/3 - (-537)/k and -9.
11
Let p be (-20)/(-18) - 4*1. Let j = p - -23/36. Calculate the common denominator of 99/16 and j.
16
Let i = -3239/198 + 183/11. Calculate the common denominator of i and 149/306.
306
Let k = 151 + -187. Calculate the common denominator of (436/k)/(1 + -4 + 1) and -17/16.
144
Calculate the smallest common multiple of (228/30 - 7)*(-4 - -59) and 45.
495
Suppose 2*z + 6*z = 312. Suppose -f - 2*f + h + 77 = 0, -z = -f - 3*h. What is the smallest common multiple of f and 21?
189
Calculate the common denominator of (-1442)/357 - (-5*6)/6 and -23/8.
408
Suppose -20 = i - 5*i. Calculate the lowest common multiple of 6/2 + i/1 and 14.
56
Let p = -12 - -26. Let r be 5 + -2 + -15 + -1. Calculate the smallest common multiple of p and (3 - 4)*r + -3.
70
Let s = -160 - -176. What is the smallest common multiple of 6 and s?
48
Find the common denominator of (2 - (-2 + 2)) + (-1675)/805 and -8/7.
161
Let w(a) = -a**2 - 6*a + 8. Let f be w(-6). Suppose -4*i + 8 - 4 = 0. What is the smallest common multiple of i and 33*(1 - f/12)?
11
Suppose 3*h - 5*x + 7 = 22, 5 = -h + 5*x. What is the least common multiple of 378 and h?
1890
Suppose -3*s = -5*d + 142, -5*d - 26*s = -31*s - 150. What is the least common multiple of 14 and d?
182
Let u be ((-1)/657)/((-7)/(-6)). Let l = 47503/15330 - u. Find the common denominator of l and -25/24.
120
Let
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{
"pile_set_name": "DM Mathematics"
}
|
7, -516, -921, -1442, -2079, -2832?
-58*p**2 + p + 3
What is the q'th term of 196, 193, 190?
-3*q + 199
What is the j'th term of -52, -206, -454, -790, -1208, -1702, -2266?
j**3 - 53*j**2 - 2*j + 2
What is the z'th term of -11, -15, -19, -23, -27, -31?
-4*z - 7
What is the a'th term of 92, 89, 86, 83?
-3*a + 95
What is the j'th term of 53, 116, 181, 248, 317, 388, 461?
j**2 + 60*j - 8
What is the a'th term of -54, -99, -144, -189?
-45*a - 9
What is the d'th term of -182, -171, -160?
11*d - 193
What is the j'th term of 175, 348, 517, 682, 843?
-2*j**2 + 179*j - 2
What is the z'th term of -1296, -1298, -1302, -1308?
-z**2 + z - 1296
What is the v'th term of 2, 34, 64, 92, 118, 142, 164?
-v**2 + 35*v - 32
What is the w'th term of 341, 680, 1015, 1346, 1673, 1996?
-2*w**2 + 345*w - 2
What is the i'th term of -36, -50, -60, -66, -68?
2*i**2 - 20*i - 18
What is the o'th term of -8849, -8839, -8815, -8771, -8701, -8599, -8459?
o**3 + o**2 - 8851
What is the v'th term of -72, -53, -32, -9, 16, 43, 72?
v**2 + 16*v - 89
What is the p'th term of 678, 681, 690, 711, 750, 813, 906, 1035?
p**3 - 3*p**2 + 5*p + 675
What is the u'th term of 0, -22, -72, -162, -304?
-2*u**3 - 2*u**2 - 2*u + 6
What is the n'th term of -112, -203, -296, -391, -488, -587?
-n**2 - 88*n - 23
What is the k'th term of 39, 129, 327, 687, 1263?
9*k**3 + 27*k + 3
What is the v'th term of -193, -240, -333, -484, -705?
-2*v**3 - 11*v**2 - 180
What is the n'th term of -131, -120, -109, -104, -111, -136, -185?
-n**3 + 6*n**2 - 136
What is the b'th term of -24, -33, -38, -39?
2*b**2 - 15*b - 11
What is the j'th term of 11, 32, 63, 104, 155, 216, 287?
5*j**2 + 6*j
What is the s'th term of 18, 75, 172, 315, 510?
s**3 + 14*s**2 + 8*s - 5
What is the g'th term of 221, 223, 225, 227?
2*g + 219
What is the y'th term of 9, 36, 111, 258, 501, 864, 1371, 2046?
4*y**3 - y + 6
What is the c'th term of 18, 49, 102, 177?
11*c**2 - 2*c + 9
What is the r'th term of -5956, -5955, -5954?
r - 5957
What is the p'th term of 12, 42, 92, 162?
10*p**2 + 2
What is the m'th term of 131, 137, 143, 149, 155?
6*m + 125
What is the g'th term of 1380, 1374, 1358, 1326, 1272, 1190, 1074?
-g**3 + g**2 - 2*g + 1382
What is the g'th term of 566, 564, 562?
-2*g + 568
What is the t'th term of 855, 1711, 2567?
856*t - 1
What is the t'th term of 10, 1, -30, -95, -206?
-2*t**3 + t**2 + 2*t + 9
What is the a'th term of -18, -14, -2, 18, 46, 82?
4*a**2 - 8*a - 14
What is the k'th term of 473, 1887, 4235, 7511, 11709, 16823, 22847, 29775?
-k**3 + 473*k**2 + 2*k - 1
What is the c'th term of 10, 27, 44, 61, 78?
17*c - 7
What is the y'th term of -36, -47, -62, -81?
-2*y**2 - 5*y - 29
What is the y'th term of -27, -16, -7, 0, 5, 8, 9?
-y**2 + 14*y - 40
What is the k'th term of 1132, 2262, 3392, 4522, 5652, 6782?
1130*k + 2
What is the n'th term of -7, -3, 5, 17, 33?
2*n**2 - 2*n - 7
What is the v'th term of -17, -28, -49, -80?
-5*v**2 + 4*v - 16
What is the t'th term of 161, 146, 105, 26, -103, -294, -559?
-2*t**3 - t**2 + 2*t + 162
What is the s'th term of 20367, 20368, 20369, 20370, 20371, 20372?
s + 20366
What is the n'th term of 355, 353, 351, 349, 347, 345?
-2*n + 357
What is the t'th term of -91, -190, -297, -412, -535?
-4*t**2 - 87*t
What is the x'th term of 18, 51, 80, 105?
-2*x**2 + 39*x - 19
What is the z'th term of -17, -111, -363, -851, -1653, -2847, -4511, -6723?
-13*z**3 - z**2 - 3
What is the g'th term of -9, -19, -35, -57, -85?
-3*g**2 - g - 5
What is the h'th term of -404, -786, -1154, -1502, -1824, -2114, -2366, -2574?
h**3 + h**2 - 392*h - 14
What is the r'th term of 64, 146, 228, 310, 392?
82*r - 18
What is the w'th term of -28, -59, -92, -127, -164?
-w**2 - 28*w + 1
What is the x'th term of 211, 210, 207, 202, 195, 186?
-x**2 + 2*x + 210
What is the u'th term of -2309, -2305, -2301?
4*u - 2313
What is the n'th term of -3960, -3954, -3944, -3930, -3912, -3890?
2*n**2 - 3962
What is the n'th term of -757, -1522, -2295, -3076, -3865?
-4*n**2 - 753*n
What is the t'th term of -129, -137, -145, -153, -161, -169?
-8*t - 121
What is the m'th term of -2699, -2703, -2707, -2711?
-4*m - 2695
What is the o'th term of -2, -7, -40, -107, -214, -367, -572?
-o**3 - 8*o**2 + 26*o - 19
What is the m'th term of -20, -22, -28, -38, -52?
-2*m**2 + 4*m - 22
What is the y'th term of -22, -89, -198, -349, -542?
-21*y**2 - 4*y + 3
What is the c'th term of 383, 382, 383, 386?
c**2 - 4*c + 386
What is the g'th term of 826, 1648, 2470, 3292?
822*g + 4
What is the s'th term of -1082, -1084, -1086, -1088, -1090, -1092?
-2*s - 1080
What is the t'th term of 112, 115, 118, 121?
3*t + 109
What is the b'th term of -42, -59, -64, -51, -14, 53, 156?
b**3 - 24*b - 19
What is the o'th term of 138, 275, 412, 549?
137*o + 1
What is the o'th term of 96, 95, 94, 93, 92?
-o + 97
What is the p'th term of 71, 76, 81, 86, 91?
5*p + 66
What is the p'th term of 1922, 1920, 1918, 1916, 1914?
-2*p + 1924
What is the t'th term of 20, 25, 32, 41, 52, 65?
t**2 + 2*t + 17
What is the l'th term of -24, -33, -56, -99, -168?
-l**3 - l**2 + l - 23
What is the t'th term of 6419, 12836, 19253, 25670?
6417*t + 2
What is the q'th term of 4, -23, -68, -131, -212?
-9*q**2 + 13
What is the n'th term of 2460, 4922, 7384, 9846, 12308?
2462*n - 2
What is the b'th term of -3839, -3843, -3845, -3845, -3843, -3839, -3833?
b**2 - 7*b - 3833
What is the l'th term of -451, -896, -1329, -1744, -2135, -2496, -2821, -3104?
l**3 - 452*l
What is the l'th term of 156, 166, 166, 150, 112?
-l**3 + l**2 + 14*l + 142
What is the l'th term of -22, -31, -36, -37, -34?
2*l**2 - 15*l - 9
What is the z'th term of 737, 1479, 2221?
742*z - 5
What is the d'th term of 83, 140, 197, 254?
57*d + 26
What is the u'th term of -519, -518, -517, -516, -515?
u - 520
What is the f'th term of 6, 11, 16?
5*f + 1
What is the z'th term of -18, -21, -24, -27, -30?
-3*z - 15
What is the y'th term of -324, -1297, -2918, -5187, -8104, -11669?
-324*y**2 - y + 1
What is the v'th term of -131, -117, -95, -65, -27?
4*v**2 + 2*v - 137
What is the y'th term of -1052, -1049, -1038, -1013, -968, -897?
y**3 - 2*y**2 + 2*y - 1053
What is the i'th term of 119, 99, 79, 59, 39?
-20*i + 139
What is the u'th term of 464, 1835, 4118, 7313?
456*u**2 + 3*u + 5
What is the i'th term of 1, 28, 79, 160, 277?
i**3 + 6*i**2 + 2*i - 8
What is the j'th term of -25, -74, -157, -274?
-17*j**2 + 2*j - 10
What is the l'th term of -195, -389, -583?
-194*l - 1
What is the d'th term of -277, -538, -799, -1060, -1321, -1582?
-261*d - 16
What is the c'th term of -5482, -5479, -5476, -5473, -5470?
3*c - 5485
What is the l'th term of 89, 81, 59, 17, -51?
-l**3 - l**2 + 2*l + 89
What is the z'th term of 534, 527, 518, 507?
-z**2 - 4*z + 539
What is the u'th term of -159, -164, -169, -174, -179, -184?
-5*u - 154
What is the y'th term of 13448, 26894, 40338, 53780, 67220, 80658, 94094?
-y**2 + 13449*y
What is the k'th term of 1823, 3647, 5473, 7301?
k**2 + 1821*k + 1
What is the k'th term of -114, -189, -226, -219, -162, -49, 126, 369?
k**3 + 13*k**2 - 121*k - 7
What is the x'th term of -24, -23, -22?
x - 25
What is the x'th term of 135, 265, 405, 561, 739, 945, 1185, 1465?
x**3 - x**2 + 126*x + 9
What is the u'th term of 2, -14, -56, -136, -266, -458?
-2*u**3 - u**2 + u + 4
What is the d'th term of 1, 9, 21, 37?
2*d**2 + 2*d - 3
What is the q'th term of 184, 378, 572, 766?
194*q - 10
What is the p'th term of -15, -48, -111, -210, -351, -540?
-p**3 - 9*p**2 + p - 6
What is the o'th term of 17995, 17997, 17999, 18001, 18003?
2*o + 17993
What is the m'th term of -463, -458, -439, -400, -335, -238, -103, 76?
m**3 + m**2 - 5*m - 460
What is the c'th term of -7, -40, -101, -196, -331, -512, -745, -1036?
-c**3 - 8*c**2 - 2*c + 4
What is the l'th term of -46554, -46550, -46536, -46506, -46454?
l**3 - l**2 - 46554
What is the z'th term of 6, -3, -20, -51, -102, -179, -288?
-z**3 + 2*z**2 - 8*z + 13
What is the h'th term of -288, -284, -276, -264, -248, -228?
2*h**2 - 2*h - 288
What is the a'th term of -136, -128, -106, -64, 4, 104, 242, 424?
a**3 + a**2 - 2*a - 136
What is the i'th term of 3, -49, -91, -117, -121, -97?
i**3 - i**2 - 56*i + 59
What is the j'th term of -107, -127, -147?
-20*j - 87
What is the q'th term of -64, -70, -66, -46, -4, 66, 170, 314?
q**3 - q
|
{
"pile_set_name": "DM Mathematics"
}
|
ive of -16474*h**3 - 789*h**2 + 2*h wrt h.
-98844
What is the third derivative of 838*u**5 - 1551*u**2 wrt u?
50280*u**2
What is the second derivative of 3*z**5 + 47*z**4 - 167*z wrt z?
60*z**3 + 564*z**2
Find the third derivative of 5*i**2*k**5 - i**2 + 42*i*k**5 - 396*i*k**2 wrt k.
300*i**2*k**2 + 2520*i*k**2
What is the third derivative of -420*g**2*w**3*z**3 - 13*g**2*w**2*z - g**2*z**3 + g*z**3 wrt w?
-2520*g**2*z**3
Find the third derivative of 16*v**6 + 2*v**3 + 4*v**2 - 53*v.
1920*v**3 + 12
What is the second derivative of m**3*q**2 + 2*m**3*q + 34*m**2*q**2 + m**2*q - 2*m**2 + 24*m*q - q**2 wrt q?
2*m**3 + 68*m**2 - 2
Find the second derivative of 6*x**4 - 17*x**2 + 160*x wrt x.
72*x**2 - 34
What is the second derivative of -368*p**5 + 2*p + 3 wrt p?
-7360*p**3
Differentiate a**2*f - 13*a**2 - a*f*r - 23*f*r + 33*f + 124*r with respect to f.
a**2 - a*r - 23*r + 33
What is the second derivative of 2862*x**2 - 1588*x wrt x?
5724
What is the second derivative of 90*k**3*u**3 + 4*k**3*u**2 + 273*k**3 + k**2*u**2 + k*u + 3*u wrt u?
540*k**3*u + 8*k**3 + 2*k**2
What is the second derivative of 2*c*x**3 - 6*c*x**2 + 2*c*x - c - x**3 + 19*x**2 - 17*x + 6 wrt x?
12*c*x - 12*c - 6*x + 38
What is the second derivative of -y**3*z**2 - 4811*y**2*z**2 + 859*y*z**2 - y*z - z**2 + 2 wrt y?
-6*y*z**2 - 9622*z**2
What is the third derivative of 3*y**6 + 3181*y**3 - 56*y**2 + y + 38?
360*y**3 + 19086
Find the third derivative of -18*m**5 + 356*m**2 wrt m.
-1080*m**2
Find the first derivative of -22*h + 250.
-22
Find the first derivative of -148*a*f**4*u - 2*a - 2*f**2*u**2 - 10*u**2 + 2 wrt f.
-592*a*f**3*u - 4*f*u**2
What is the derivative of -475*r*w - 3874*r wrt w?
-475*r
What is the derivative of 1556*a - 12681?
1556
Find the third derivative of -236*n**3*p**3 - 1316*n**2*p**3 wrt n.
-1416*p**3
Find the second derivative of a**2*r**5 + 45*a**2*r**4 - a**2 - a*r + 23*r wrt r.
20*a**2*r**3 + 540*a**2*r**2
Find the third derivative of -60*l*n**6 + 16*l*n**2 + 2*l*n + 2*l + 2*n**6 + 3*n**4 wrt n.
-7200*l*n**3 + 240*n**3 + 72*n
Find the first derivative of -58*i + 62 wrt i.
-58
What is the first derivative of 3*g*m**2*q + 3*g*m**2 - 74*g*m*q - 7*g*q + 3*q + 7 wrt m?
6*g*m*q + 6*g*m - 74*g*q
Find the third derivative of -c**2*l**5 + 18*c**2*l**3 - 2*c**2*l - 2*c*l**2 + 5 wrt l.
-60*c**2*l**2 + 108*c**2
What is the third derivative of -2*h**4 - 106*h**3 - 1452*h**2?
-48*h - 636
What is the third derivative of 103*y**3*z**3 - 6*y**3 + y**2*z**2 - 2*y*z**3 + 77*z**3 wrt y?
618*z**3 - 36
What is the second derivative of j**2*o**3 + 107*j**2*o**2*v**2 + 35*j*o**3*v - 2*j*o*v**2 - 8*o**3 wrt j?
2*o**3 + 214*o**2*v**2
What is the second derivative of 43*w**3 + 64*w wrt w?
258*w
What is the derivative of -208*f**4 - 148 wrt f?
-832*f**3
Find the second derivative of 9*i**3*k**5 - 132*i**3*k**4 + 28*i**3*k - 66*i**2 wrt k.
180*i**3*k**3 - 1584*i**3*k**2
What is the second derivative of -284*c*j**3*m**2 - 38*c*j**3*m - c*m**4 + c*m + 2*j**3*m wrt m?
-568*c*j**3 - 12*c*m**2
What is the third derivative of 13478*f**3 + 23018*f**2 wrt f?
80868
What is the second derivative of 2*u**3 + 9140*u**2 - 19247*u wrt u?
12*u + 18280
What is the second derivative of 846*s*y**5 - 8*s*y**2 + 14*s*y + 2*s - 7*y - 6 wrt y?
16920*s*y**3 - 16*s
Find the third derivative of 59*o**5 + 18*o**2 - 2 wrt o.
3540*o**2
What is the second derivative of 658*a**5 - 856*a wrt a?
13160*a**3
What is the derivative of -1056*f**4*r**2 + 4591*r**2 wrt f?
-4224*f**3*r**2
Find the second derivative of 566*d**2*o**3 - d**2*o - 8*d*o - 2*o + 186 wrt o.
3396*d**2*o
What is the derivative of -6*i**4 - 106*i**3 - i**2 + 6505 wrt i?
-24*i**3 - 318*i**2 - 2*i
What is the second derivative of 35*a**3 - 25*a**2*z + 42*a*z + a + 20*z wrt a?
210*a - 50*z
Find the third derivative of -t*z**3 + 2*t*z**2 - 880*z**3 - 106*z**2 - 20 wrt z.
-6*t - 5280
Differentiate 1724*v - 860.
1724
Find the third derivative of -i**4*t - 10*i**4 + 96*i**3*t**3 + 9*i**2*t**3 + 208*i*t**3 + i wrt i.
-24*i*t - 240*i + 576*t**3
What is the third derivative of -1257*m*t**3 + 1036*m*t**2 wrt t?
-7542*m
Find the first derivative of 12*i**3*n**2 - 2*i**3 + 2*i*n + 4*n**2 - 25 wrt i.
36*i**2*n**2 - 6*i**2 + 2*n
What is the second derivative of -p**3*t + 3982*p**3 + p**2*t - 2*p*t + 19*p + 233*t wrt p?
-6*p*t + 23892*p + 2*t
Find the second derivative of -141*c**3 + c**2 - 180*c wrt c.
-846*c + 2
Find the second derivative of -i**3*t**3 + 177*i**3*t**2 - 3*i**3 - 2*i*t - 244*i wrt t.
-6*i**3*t + 354*i**3
What is the second derivative of -15*u**3 + 41*u**2 + 827*u?
-90*u + 82
What is the derivative of -532*c - 766?
-532
Differentiate -329*d**2 - 7 with respect to d.
-658*d
Find the second derivative of -4851*o**3 - 39*o - 2 wrt o.
-29106*o
Find the third derivative of 19*f**5 + 269*f**2 wrt f.
1140*f**2
Find the third derivative of -7959*f**6 - 2*f**2 + 1292*f + 1 wrt f.
-955080*f**3
Find the first derivative of -x**2*z + 94*x**2 + 2*x*z + 19*z - 27 wrt x.
-2*x*z + 188*x + 2*z
What is the first derivative of 15*b*k**3 - 6*b + 727*k**3 wrt b?
15*k**3 - 6
Differentiate 7053*u**2 + 13411 wrt u.
14106*u
Differentiate q**4 - 369*q + 784 with respect to q.
4*q**3 - 369
What is the second derivative of 48*h**3*i**2 + 2*h**3*i + 108*h**2 - h*i**2 wrt i?
96*h**3 - 2*h
What is the first derivative of 6*v**2 - 66*v - 2759?
12*v - 66
Find the third derivative of 250*r*v**3*x**2 + 11*r*v**3 - r*v**2*x + 2*r*v*x**2 - r*v*x - 204*v*x**2 - 2*v*x wrt v.
1500*r*x**2 + 66*r
What is the derivative of 33*l**4*w**2 + 4*l**2*w**3 + 303*w**3 wrt l?
132*l**3*w**2 + 8*l*w**3
Find the second derivative of -14*m**3 - 30*m**2 + m - 231.
-84*m - 60
What is the second derivative of -o**4 - 93*o**2 + 39*o - 3 wrt o?
-12*o**2 - 186
Find the third derivative of -b*o**3*t + b*o**2*t + 65*b*o + 3973*o**3*t**2 + o**2*t**2 - 2*o**2*t + 3*t wrt o.
-6*b*t + 23838*t**2
Find the second derivative of -2*i**4 + 9*i**3 + 89*i + 2 wrt i.
-24*i**2 + 54*i
Find the third derivative of -12*q**5 + 2*q**4*s + q**3*s - 2*q**2*s - 373*q + 2*s wrt q.
-720*q**2 + 48*q*s + 6*s
Differentiate 2*a**2*u**3 - 606*a**2*u**2 + a*u**3 - 1549*u**3 with respect to a.
4*a*u**3 - 1212*a*u**2 + u**3
What is the first derivative of 464*n - 160?
464
What is the second derivative of 42*c**4 - c**3 - 40*c**2 + 6*c + 14 wrt c?
504*c**2 - 6*c - 80
What is the first derivative of 270*y**4 - 2518?
1080*y**3
What is the third derivative of -65*c**3*s*z**2 - 3*c**3*z**2 - 2*c**2*z + 8*c*z**2 - s wrt c?
-390*s*z**2 - 18*z**2
What is the third derivative of 37*s**5 + 2*s**3 - 14*s**2 - 15*s + 2 wrt s?
2220*s**2 + 12
What is the first derivative of 129*x**4 + 146?
516*x**3
Differentiate 15*o*p*t*z**2 + o*p*t + o*p*z + 2*p*t*z**2 - 17*p*t*z - 9*t*z + t with respect to o.
15*p*t*z**2 + p*t + p*z
What is the first derivative of 10*f**2*o**4 - 2*f**2 + 80*o**4 - 1720 wrt o?
40*f**2*o**3 + 320*o**3
What is the derivative of 441*b**3*k - 3*b**3*u - b**2*u + 156*b*u - 2*k*u wrt k?
441*b**3 - 2*u
Find the third derivative of b**6*p - 87*b**5*p**2 - 3*b**2 + 3*p**2 + 7*p wrt b.
120*b**3*p - 5220*b**2*p**2
What is the first derivative of i**4 - 267*i + 3618 wrt i?
4*i**3 - 267
What is the third derivative of 3*m*u**3 + 5*m*u**2*x + m*w**2 + 2*m*w + 10*u**4*w*x + 3*u**3*w**2*x + 89*u**2*w**2*x + 2*u**2*w*x wrt u?
18*m + 240*u*w*x + 18*w**2*x
Find the second derivative of -6*m**4 - 720*m**2*x - m**2 - 12039*m*x wrt m.
-72*m**2 - 1440*x - 2
Differentiate -181*x**2*z - 2*x**2 + 12*z - 9 wrt x.
-362*x*z - 4*x
What is the second derivative of 3*o**3*r**2*y - 2*o**3*r*y + 29*o**3*y**2 - 29*o**2*r**2*y**2 + 3*o**2*r*y**2 + 3*o*r**2 wrt r?
6*o**3*y - 58*o**2*y**2 + 6*o
Differentiate 1183*i*v + 921*v wrt i.
1183*v
What is the second derivative of -2*l**4 + 2385*l**3 + 5109*l?
-24*l**2 + 14310*l
What is the first derivative of -w*z**3 + 236*w + 204*z**3 wrt z?
-3*w*z**2 + 612*z**2
Find the first derivative of 75*f**4 - 5*f - 409 wrt f.
300*f**3 - 5
What is the second derivative of 14*k**5*o + 46*k**3 - 39*k*o + 3*o - 13 wrt k?
280*k**3*o + 276*k
What is the third derivative of 18*z**5 + 11*z**4 - 3126*z**2 wrt z?
1080*z**2 + 264*z
What is the third derivative of -5401*h**3 - 4*h**2 wrt h?
-32406
Differentiate 110*h*w + 13*h - 4154*w with res
|
{
"pile_set_name": "DM Mathematics"
}
|
2*l**4 + 113*l**2 + 2. Determine b(0).
2
Suppose 5*u - 3*r = 15, 0*u - 4*r = 3*u - 38. Suppose u = 17*n - 14*n. Let y(o) = -4*o**n + 23 - 8 + 2*o**2 - 6*o**3 - 14. Give y(1).
-7
Let a = -1533 + 1537. Let t(h) be the third derivative of h**5/30 - h**4/12 + h**3/6 + 4*h**2 + 8*h. Give t(a).
25
Let s(v) = 7*v**2 - 4*v + 16. Let d(o) = 6*o**2 - 4*o + 13. Suppose 7*z = 31 + 4. Let w(l) = z*s(l) - 6*d(l). Determine w(6).
-10
Let d(x) = 3*x**2 + x - 7 - 220*x**3 + 221*x**3 - 4*x**2. Suppose 0 = -4*y + y. Suppose y = 6*m + 7 - 7. Determine d(m).
-7
Let x(t) = 2*t**3 + 13*t**2 + 7*t + 9. Let h be x(-6). Let y(i) = 1 + 18*i - 2*i**2 + 8*i**h - 16*i - 2. Let w = 154 - 153. Determine y(w).
7
Let f(b) = -9*b + 44. Let a(y) = 22*y - 106. Let x(c) = 5*a(c) + 12*f(c). Calculate x(-10).
-22
Let y(w) be the third derivative of w**6/60 - w**5/60 + w**3/6 + 225*w**2 + 2. Determine y(1).
2
Let j(c) = -101 - 95 + 199 + 81*c - 37*c - 43*c. Let z = 3 - 8. What is j(z)?
-2
Let y(c) be the first derivative of -c**4 - c**3/3 - c**2/2 + 3*c - 7237. Calculate y(1).
-3
Let s(x) = x**3 + 6*x**2 - 11*x - 4. Let n be 0 + (-6)/(-8) - 2415/276. Calculate s(n).
-44
Let c(d) = 2*d. Let m = 181 - 183. Let n be 38/6 - m/3. Calculate c(n).
14
Suppose 5*o + 2 = -3*f, -3*f + o + 3*o = -7. Let a(i) = f + 2 + i + 3 - 3. Determine a(-3).
0
Let l be (-14)/(-35)*-5 + 3. Let y(q) = -11*q - 11*q + 27*q + l - 7*q. Determine y(5).
-9
Let t be 6 - 2*(1 + 0). Let r(q) be the second derivative of -q**4/6 - q**3/2 - 15*q**2 + 24*q. Let p(c) be the first derivative of r(c). Give p(t).
-19
Let k(x) = -1696 + 1425 + 28*x + 58*x - 17*x. Determine k(4).
5
Let r = -146 + 156. Let i(v) = -8*v - 3. Let s(u) = 19*u + 11. Let p(n) = -5*i(n) - 2*s(n). What is p(r)?
13
Let g(h) = -2*h**2 - 18*h - 5. Let d(q) = 85*q + 923. Let a be d(-11). What is g(a)?
-77
Let u(p) = 5*p**3 + 2*p**2 - 55*p + 39. Let b(f) = -14*f**3 - 6*f**2 + 160*f - 119. Let m(g) = 6*b(g) + 17*u(g). Calculate m(2).
-1
Let p(n) = -2*n - 51. Let h(r) = -3*r - 42. Let y(k) = -5*h(k) + 4*p(k). What is y(-2)?
-8
Let n(y) be the third derivative of -y**4/4 - 2*y**2 + 197*y + 4. Give n(-13).
78
Let w(g) = -3*g - 1. Let i be w(-2). Suppose -i*a + 15 = -0. Let d(p) = -2636*p**2 + 1307*p**2 - 2*p + 1327*p**2 + p**3. Calculate d(a).
3
Let g(w) be the first derivative of -4*w**2 - 186*w + 5981. Determine g(-23).
-2
Let g be 6 + 1/(-2)*2. Let a(b) = -b**3 + 6*b + 4*b**2 - 31 + 34 - g*b**2 + 6*b**2. Give a(6).
3
Let y(t) be the first derivative of 1/2*t**4 + 1/6*t**3 - 11 + 0*t - 1/2*t**2. Let f(j) be the second derivative of y(j). Determine f(-1).
-11
Let s(w) be the first derivative of -w**4/12 - w**3/2 + 5*w**2/2 + 48*w - 65. Let a(y) be the first derivative of s(y). What is a(-4)?
1
Suppose 0 = -2*l - l + 51. Let s(d) = -d + 10. Let u be s(l). Let r be (-18)/(-3)*(u - -4)/3. Let t(z) = -z**3 - 6*z**2 + z + 3. What is t(r)?
-3
Let a(n) = n**2 - 17*n - 46. Let y(d) = -3*d**2 + 50*d + 138. Let h(x) = 17*a(x) + 6*y(x). Suppose 8696*g = 8026*g + 5055 + 4325. Determine h(g).
4
Let n(m) = -m**3 - 7*m**2 - 2. Suppose 2*q - 30 = -k + 41, -4*q + 143 = k. Suppose -q*r - 34 = 218. What is n(r)?
-2
Let p = -387 + 391. Let u be 3 - (15/5 + p). Let b(z) = -4*z**2 - 4*z - 6. Let c(t) = 5*t**2 + 3*t + 7. Let a(m) = -4*b(m) - 3*c(m). What is a(u)?
-9
Let s(a) = -5*a + 14. Let n = -1172 - -1168. Calculate s(n).
34
Let l(p) = p**2 + 18*p - 26. Let b be l(-19). Suppose q - 4*q = -18. Let s(a) = 8*a**2 - 6 + q*a + 45*a**3 + 0*a - 44*a**3. Give s(b).
1
Let m be (4/(-7))/(44/154). Let h be (18 - 3 - 10) + 4 + m. Let g(p) = p**3 - 6*p**2 - 7*p - 2. Calculate g(h).
-2
Let v(t) = t**2 - 4*t - 5. Let a be 4/6*(-12)/(-8). Let k = a - 18. Let p(j) = j**2 + 18*j + 23. Let m be p(k). Calculate v(m).
7
Let p(t) be the third derivative of t**6/120 - 13*t**5/20 + t**4/12 - 6*t**3 + 10*t**2 - 175*t. Calculate p(39).
42
Let g(i) = 2*i + 28. Let k be g(-16). Let b(r) = r + 2. Let t(h) = -3*h - 7. Let s(w) = k*t(w) - 14*b(w). Suppose -14*f - 4 = -10*f. What is s(f)?
2
Let n(g) = 4*g**2 - g - 16. Suppose 35*j - 39 = -144. Give n(j).
23
Let q(x) be the second derivative of -x**5/20 - x**4/2 - x**3/2 - 3*x**2/2 - 33*x. Let y = 26 + -29. Determine q(y).
-21
Let w(g) = g + 8. Let h(v) = -18*v - 42. Let x(l) = -h(l) - 5*w(l). What is x(-3)?
-37
Suppose 193*d + 56 = 100*d + 101*d. Let k(u) = u**3 - 7*u**2 + 15. Calculate k(d).
15
Let w be (-285)/(-45) + (-2)/(-3). Let f(a) = 10*a**3 - a**2 - w*a**2 + 9*a**2 + a + 1. Give f(-1).
-9
Let z(o) = 3*o**2 + 8*o + 79. Let k(a) = 4*a**2 + 7*a + 77. Let d(c) = 4*k(c) - 5*z(c). Let r(p) be the first derivative of d(p). What is r(5)?
-2
Let j(p) = p - 25. Let h be j(10). Let l = h + 81. Let o(x) = l - 37 - x**2 + 8*x - 34. Give o(6).
7
Let g(s) = -2*s**2 - 15*s - 9. Let c(i) = 4*i**2 - 141*i - 266. Let r be c(37). Give g(r).
-2
Let t(k) = k**2 - 14*k - 243. Suppose -3*p = 5*n - 111, -2*n - p - 1265 = -1310. What is t(n)?
-3
Let i(r) be the second derivative of 4*r**4/3 + 5*r**3/6 + 5*r**2/2 + 884*r. Give i(-2).
59
Let z(t) = -80*t**2 + 7*t + 27. Let b(d) = -89*d**2 + 8*d + 30. Let c(q) = -9*b(q) + 10*z(q). Let u(x) = x**3 + 3*x**2 - 5*x - 1. Let i be u(-4). Give c(i).
3
Let x be (2 + (-8 - -2))*6/(-12). Let p(j) = -4*j + 526 + 3*j**2 - 531 - 2*j**x. Determine p(5).
0
Let y(f) = -f**2 - 2 - 5 + 15*f - 7*f. Let h(q) be the third derivative of -q**4/24 + 2*q**3 + 10*q**2. Let c be h(6). What is y(c)?
5
Let k(z) = 2*z**2 + 3*z - 34. Suppose 340*a - 105*a = 705. Determine k(a).
-7
Let c(v) = -6*v - 13*v**2 - 4*v**2 + 1 + 0 + 21*v**2. Let k be c(2). Let o(m) = -m - 5*m + m + m**2 + 4. Give o(k).
4
Let w(s) = 26*s**3 - 2*s**2 - 3*s - 2. Suppose u = -9*u + 49*u + 39. Calculate w(u).
-27
Let v(a) = a**3 + 4*a**2 + 1. Let l be v(-4). Suppose 0 = -3*f + 20 - 14. Let h(c) = 1 - 12*c**2 + 4 + f*c + 2*c**2 - 6. Give h(l).
-9
Suppose 2*n = f + 7*n - 24, 4*f - 48 = -4*n. Suppose -33*r - f = -24*r. Let d(h) = -2*h**2 - 1. What is d(r)?
-3
Suppose 4*d + d = 20. Let t(x) = d*x - 6 + 5*x - x**2 - 2*x. Let a be 27 - (3663/165 - (-3)/(-15)). Calculate t(a).
4
Let p(t) = 11*t - 10. Suppose 10*q - 67 - 250 = 327*q. Calculate p(q).
-21
Let z(m) = -m. Let l(k) = -8*k**2 + k - 12. Let b(c) = 5*c**2 - c + 6. Let v(g) = -5*b(g) - 3*l(g). Let a(x) = -v(x) - 3*z(x). Calculate a(-6).
24
Let z(j) = -24*j - 288. Let b be z(-12). Let w(a) = -2*a + 5. What is w(b)?
5
Let s(g) = -11 + 7*g + 35 - 10. Let o(y) = -3*y - 6. Let v(q) = -9*o(q) - 4*s(q). Give v(0).
-2
Let q(t) = t**3 + 2*t**2 + 2*t + 4. Let u be q(0). Let v(x) = -15*x + 16*x + 2 + u*x**3 - 1. What is v(-1)?
-4
Let l be (-3)/9*(2 + -11). Let y(f) = 8*f - 464 + 6*f - 2*f - 6*f + 466. Give y(l).
20
Let b(l) = 6*l**3 - 528*l**2 + l - 88. Let s be b(88). Let a(g) = -g**3 + 2*g - 69. Calculate a(s).
-69
Let j(h) be the third derivative of -h**5/60 + h**4/24 + 5*h**3/2 - 59*h**2 + 13*h. Calculate j(4).
3
Let m(i) = 3*i - 83. Let z(u) = 3*u - 58. Let g(f) = 3*m(f) - 4*z(f). Determine g(3).
-26
Let p(j) be the first derivative of -2/3*j**3 - 74 - 4*j - 1/2*j**2. Give p(3).
-25
Suppose -5*w = -5*s + 45, -19 = 4*s - 39. Let d(a) = -2*a - 6. Let z(n) = 3*n + 11. Let g(v) = 5*d(v) + 3*z(v). What is g(w)?
7
Let i(q) be the second derivative of q**5/20 + 2*q**4/3 + 5*q**3/6 - 2*q**2 - 15*q - 31. Give i(-8).
-44
Let m(b) = 19*b**2 + 113*b - 79. Let f(q) = 32*q**2 + 188*q - 136. Let k(c) = 7*f(c) - 12*m(c). Give k(-10).
-4
Suppose -4*x = -5*x - 12. Let t(o) = -10*o + 2401. Let k(z) = -2*z + 434. Let a(w) = 11*k(w) - 2*t(w). Give a(x).
-4
Let w(k) = 12001*k**2 - 5*k + 12 + 12054*k**2 - 24054*k**2. Give w(11).
78
Let l(n) = -n**2 + 1 - 4 + 3 - 2 - 6*n. Let z(d) = 12*d - 275 - d**2 - d + 22*d. Let s be z(15). Calculate l(s).
3
Let v(d) be the first derivative of 1/2*d**2 + 7/3*d**3 + 14 + 0*d. Determine v(-1).
6
Let j be ((-425)/170)/((-2)/(-12)). Let q(x) = -x**2 - 17*x - 26. Give q(j).
4
Let k(l) = l**3 - l. Let v be k(-1). Let f(b) = 623 + 761 + 2*b - 1388. Determine f(v).
-4
Let w(d) = 484*d**2 - 485*d**2 - 5 - 2 - 4*d - 4*d. Let z(b) = -b**3 + 7*b**2 - 4*b - 1. Let a be z(6). Let f be (-9 + a)*(-14)/4. Calculate w(f).
0
Let u be ((-2718)/162 - -16) + 4/(-18). Let d(n) = 9*n**2 + 13*n. Let q(z) = 8*z**2 + 11*z. Let x(a) = -5*d(a) + 6*q(a). Give
|
{
"pile_set_name": "DM Mathematics"
}
|
38 is divided by 215.
203
Calculate the remainder when 6098 is divided by 1129.
453
Calculate the remainder when 222050 is divided by 70.
10
Calculate the remainder when 1284013 is divided by 14.
3
Calculate the remainder when 18088 is divided by 412.
372
What is the remainder when 14308 is divided by 54?
52
What is the remainder when 22182 is divided by 5517?
114
Calculate the remainder when 1325 is divided by 136.
101
Calculate the remainder when 12042 is divided by 2958.
210
Calculate the remainder when 212515 is divided by 17.
15
Calculate the remainder when 8098 is divided by 4.
2
What is the remainder when 17310 is divided by 1617?
1140
Calculate the remainder when 284280 is divided by 307.
305
What is the remainder when 82176 is divided by 69?
66
Calculate the remainder when 1532395 is divided by 1786.
7
Calculate the remainder when 2187898 is divided by 561.
559
What is the remainder when 34825 is divided by 611?
609
What is the remainder when 5006 is divided by 264?
254
What is the remainder when 40486 is divided by 6746?
10
What is the remainder when 1497 is divided by 189?
174
Calculate the remainder when 210465 is divided by 26.
21
What is the remainder when 22857 is divided by 11388?
81
Calculate the remainder when 8504 is divided by 67.
62
What is the remainder when 163991 is divided by 137?
2
What is the remainder when 1256 is divided by 614?
28
Calculate the remainder when 5150 is divided by 109.
27
What is the remainder when 506251 is divided by 11?
9
What is the remainder when 9159 is divided by 695?
124
Calculate the remainder when 3503 is divided by 78.
71
Calculate the remainder when 72637 is divided by 72356.
281
What is the remainder when 913209 is divided by 9?
6
Calculate the remainder when 16401 is divided by 146.
49
What is the remainder when 13476 is divided by 799?
692
What is the remainder when 2647 is divided by 272?
199
What is the remainder when 5201278 is divided by 30?
28
What is the remainder when 19130 is divided by 9334?
462
Calculate the remainder when 121041 is divided by 2814.
39
What is the remainder when 6844 is divided by 112?
12
Calculate the remainder when 1564 is divided by 198.
178
Calculate the remainder when 15737 is divided by 129.
128
Calculate the remainder when 71675 is divided by 23859.
98
Calculate the remainder when 45466 is divided by 865.
486
Calculate the remainder when 1046 is divided by 199.
51
What is the remainder when 25427 is divided by 10?
7
What is the remainder when 143038 is divided by 749?
728
What is the remainder when 50868 is divided by 28?
20
What is the remainder when 549314 is divided by 9?
8
What is the remainder when 419207 is divided by 394?
385
Calculate the remainder when 23383 is divided by 23312.
71
What is the remainder when 2180 is divided by 128?
4
What is the remainder when 3426 is divided by 33?
27
Calculate the remainder when 3684 is divided by 3671.
13
What is the remainder when 15503 is divided by 15501?
2
What is the remainder when 98566 is divided by 13?
0
Calculate the remainder when 4992 is divided by 2453.
86
Calculate the remainder when 11491 is divided by 11456.
35
Calculate the remainder when 58750 is divided by 192.
190
What is the remainder when 15198 is divided by 28?
22
What is the remainder when 197705 is divided by 35?
25
What is the remainder when 167538 is divided by 149?
62
Calculate the remainder when 111850 is divided by 9.
7
Calculate the remainder when 3759 is divided by 173.
126
Calculate the remainder when 9898756 is divided by 53.
52
Calculate the remainder when 114805 is divided by 226.
223
What is the remainder when 2123903 is divided by 24?
23
Calculate the remainder when 272111 is divided by 22.
15
Calculate the remainder when 1175 is divided by 148.
139
What is the remainder when 65124 is divided by 17?
14
Calculate the remainder when 76936 is divided by 81.
67
Calculate the remainder when 3335 is divided by 271.
83
What is the remainder when 2470 is divided by 604?
54
Calculate the remainder when 3299 is divided by 1957.
1342
What is the remainder when 5500 is divided by 27?
19
Calculate the remainder when 32277 is divided by 72.
21
Calculate the remainder when 21554 is divided by 196.
190
Calculate the remainder when 3904 is divided by 157.
136
What is the remainder when 16168 is divided by 16162?
6
Calculate the remainder when 15950 is divided by 239.
176
What is the remainder when 3535 is divided by 1622?
291
What is the remainder when 2978 is divided by 960?
98
Calculate the remainder when 35122 is divided by 281.
278
Calculate the remainder when 7328 is divided by 157.
106
Calculate the remainder when 341051 is divided by 1043.
1033
What is the remainder when 26020 is divided by 182?
176
Calculate the remainder when 19662 is divided by 37.
15
Calculate the remainder when 3537 is divided by 185.
22
Calculate the remainder when 21197 is divided by 589.
582
Calculate the remainder when 52027 is divided by 3060.
7
What is the remainder when 71026 is divided by 5073?
4
Calculate the remainder when 109 is divided by 101.
8
Calculate the remainder when 84335 is divided by 51.
32
Calculate the remainder when 17205 is divided by 4257.
177
What is the remainder when 2724 is divided by 5?
4
What is the remainder when 687 is divided by 189?
120
What is the remainder when 12657 is divided by 183?
30
Calculate the remainder when 1053 is divided by 176.
173
What is the remainder when 308401 is divided by 102800?
1
Calculate the remainder when 2707 is divided by 781.
364
Calculate the remainder when 24204 is divided by 749.
236
What is the remainder when 990625 is divided by 247655?
5
Calculate the remainder when 86688 is divided by 72.
0
What is the remainder when 18987 is divided by 3767?
152
What is the remainder when 1069325 is divided by 534657?
11
Calculate the remainder when 716 is divided by 80.
76
What is the remainder when 14377 is divided by 7128?
121
What is the remainder when 88083 is divided by 76?
75
Calculate the remainder when 1859 is divided by 352.
99
Calculate the remainder when 894 is divided by 271.
81
What is the remainder when 132513 is divided by 51?
15
What is the remainder when 740506 is divided by 72?
58
Calculate the remainder when 56487 is divided by 1258.
1135
What is the remainder when 8260 is divided by 138?
118
What is the remainder when 294041 is divided by 38?
35
Calculate the remainder when 2830 is divided by 918.
76
What is the remainder when 65370 is divided by 7262?
12
What is the remainder when 7823 is divided by 2566?
125
Calculate the remainder when 208140 is divided by 14867.
2
What is the remainder when 539 is divided by 520?
19
What is the remainder when 10221 is divided by 3184?
669
What is the remainder when 4318 is divided by 1687?
944
What is the remainder when 19924 is divided by 498?
4
What is the remainder when 77751 is divided by 555?
51
What is the remainder when 4478 is divided by 83?
79
Calculate the remainder when 2943299 is divided by 79.
75
Calculate the remainder when 26249 is divided by 103.
87
What is the remainder when 263131 is divided by 7309?
7
Calculate the remainder when 494847 is divided by 30.
27
What is the remainder when 43944 is divided by 136?
16
Calculate the remainder when 39793 is divided by 293.
238
Calculate the remainder when 7913 is divided by 22.
15
Calculate the remainder when 3426261 is divided by 1165.
1161
Calculate the remainder when 1820 is divided by 183.
173
Calculate the remainder when 7800 is divided by 572.
364
Calculate the remainder when 80282 is divided by 1147.
1139
What is the remainder when 57252 is divided by 19079?
15
Calculate the remainder when 18968 is divided by 3729.
323
What is the remainder when 12000 is divided by 1339?
1288
What is the remainder when 165266 is divided by 165209?
57
Calculate the remainder when 41811 is divided by 53.
47
What is the remainder when 3138 is divided by 280?
58
What is the remainder when 39430 is divided by 63?
55
Calculate the remainder when 165219 is divided by 10.
9
Calculate the remainder when 3010 is divided by 751.
6
What is the remainder when 6626 is divided by 3243?
140
Calculate the remainder when 59223 is divided by 76.
19
What is the remainder when 137471 is divided by 195?
191
Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
ler than -96/8255?
False
Do 10693 and 10688 have different values?
True
Is 0 greater than -68/1495?
True
Which is bigger: 0.426 or -2?
0.426
Which is smaller: -48 or 1789?
-48
Which is bigger: 115265 or 115263?
115265
Is 2940 at most as big as 2680?
False
Does -15254 = -15250?
False
Which is bigger: 0 or 161/5827?
161/5827
Which is smaller: 1 or -280/45881?
-280/45881
Are -14 and 652 unequal?
True
Are -0.053 and 789.3 equal?
False
Is -13 at most -3126/259?
True
Which is smaller: 1 or -50/4537?
-50/4537
Is -261 equal to -243?
False
Is 3/36617 less than 0?
False
Which is bigger: 18898 or 18896?
18898
Do 4751/46 and 102 have the same value?
False
Which is smaller: -10/190513 or 0?
-10/190513
Are 125221 and 125213 nonequal?
True
Which is greater: 2/191 or 11573?
11573
Which is greater: 4116 or 4124?
4124
Which is smaller: -56687 or 7?
-56687
Which is greater: 0 or -9/166?
0
Are -43597/87 and -502 unequal?
True
Do 2285442 and 2285444 have different values?
True
Is -25 greater than 19210?
False
Are -59062 and -59062 equal?
True
Which is bigger: -10850/11 or -986?
-986
Which is smaller: 177/8 or 170.2?
177/8
Which is bigger: 3753847 or 0?
3753847
Which is smaller: -460 or -28?
-460
Are 7 and -9/11623 non-equal?
True
Which is greater: -2457/587 or -3?
-3
Is 90 less than or equal to -7/6?
False
Is -504 at least as big as -718?
True
Do -17794 and -17809 have the same value?
False
Is 6.83 less than or equal to -67.09?
False
Is 4/282809 less than or equal to 1/4?
True
Which is bigger: 274 or 319?
319
Which is smaller: 77 or 3174?
77
Which is smaller: -0.289 or -15?
-15
Which is smaller: 1286854 or 9007983/7?
1286854
Is 2/6282041 at most 0?
False
Which is smaller: -0.2 or -4501219?
-4501219
Is -124564 <= -124565?
False
Which is greater: -1 or -3/295573?
-3/295573
Is -39816 >= -39849?
True
Which is smaller: -22.64992 or 0?
-22.64992
Which is smaller: 226 or -138?
-138
Are -59306 and -59336 non-equal?
True
Is -195 equal to -7992/41?
False
Are 7235 and 79580/11 unequal?
True
Which is greater: 2/54071 or -2?
2/54071
Does 3 = 5868/1397?
False
Are 0.1 and 0.153308 unequal?
True
Is 2009 at least -1.9?
True
Which is smaller: 476.4 or -51?
-51
Which is smaller: 1028 or 1088?
1028
Which is greater: -156231 or -156230?
-156230
Are 6416/171 and 38 unequal?
True
Which is greater: -29982 or -29981?
-29981
Which is smaller: 0 or 123/2174?
0
Which is smaller: -36652 or -36654?
-36654
Which is smaller: 15 or 1653?
15
Which is bigger: 2249/35 or 63?
2249/35
Is 1 at most as big as 1180/1249?
False
Is -24745 at most as big as -24745?
True
Which is smaller: 418203 or 418202?
418202
Is 0 <= 8/1419?
True
Which is greater: 0.0516 or -46?
0.0516
Which is smaller: 2/165 or -1004?
-1004
Is -37 at most -32883?
False
Which is bigger: -2/9719 or 409/4?
409/4
Which is greater: -1 or -26/3349?
-26/3349
Is -56806 less than 42?
True
Is -1 less than or equal to 352.307?
True
Is -28/20035 at most as big as -1?
False
Is 16 < 1590/107?
False
Is 61583/10 >= 6158?
True
Which is bigger: 422867/4 or 8?
422867/4
Which is greater: -26204/15 or -1747?
-26204/15
Is 4672 at least as big as 4680?
False
Is 0.751082 bigger than 1?
False
Which is bigger: 3 or -188/869?
3
Which is smaller: 0 or 6564049?
0
Which is smaller: 0 or 39/5732?
0
Is -1/1131827 at most as big as 0?
True
Is 1/140123 != -1?
True
Which is bigger: 1436 or 187?
1436
Which is smaller: 75/52676 or 0?
0
Is -11388 greater than -11401?
True
Which is smaller: -590185 or -2950924/5?
-590185
Which is smaller: -1 or 221/1882?
-1
Which is bigger: 24335/11 or 2213?
2213
Which is greater: -2 or -135130?
-2
Is -0.2 smaller than -43/12218?
True
Which is greater: 0.35218 or 0.06?
0.35218
Are -1478614 and -1478615 nonequal?
True
Is -9171 greater than or equal to -9230?
True
Which is greater: -2034 or -47?
-47
Which is smaller: 1 or 4/68129?
4/68129
Is 1 greater than -82/15895?
True
Which is smaller: -16/3559 or 0?
-16/3559
Which is bigger: 1085 or 1688?
1688
Which is smaller: 25931 or 25938?
25931
Which is greater: 23/3 or 2.17?
23/3
Is 591 at most as big as 52568/89?
False
Is -5968 smaller than -14/5?
True
Which is smaller: -2 or 7730?
-2
Which is greater: 4471 or 4466?
4471
Which is bigger: 0.1 or -1977359?
0.1
Is 0 <= -154505?
False
Which is smaller: -7 or -4625?
-4625
Which is smaller: -229/6 or -2/189?
-229/6
Is -547 greater than or equal to -538?
False
Which is smaller: -3599 or -101/3?
-3599
Are 5 and -94303 non-equal?
True
Which is bigger: -1043 or -1058?
-1043
Are 2 and -3.21185 unequal?
True
Which is smaller: 1.262 or -0.2?
-0.2
Which is greater: -201/143 or 4?
4
Which is smaller: -52 or 1/8757?
-52
Is 0 <= -130/80681?
False
Is -483/22 > 1?
False
Which is bigger: -143721 or -143720?
-143720
Is 1629227/5 equal to 325845?
False
Which is greater: -0.2 or 50029?
50029
Do 3/2177207 and 0 have the same value?
False
Are 1 and -6/388411 equal?
False
Is 19184 < 5?
False
Which is bigger: -2/3 or 1830024?
1830024
Is 689009 less than 1/3?
False
Is 218329 less than or equal to 218329?
True
Is -32/17443 greater than 0?
False
Which is bigger: 58 or -33/10?
58
Is 15/4717 != -1?
True
Is 9 less than 2/2327?
False
Is -4430.4 at most 1/27?
True
Which is smaller: 583 or 587?
583
Which is smaller: 1156954 or 3470863/3?
1156954
Do -50097 and -50097 have the same value?
True
Is -5290/21 at most as big as -253?
False
Which is greater: -0.1 or -45.581?
-0.1
Is -2039628 not equal to -2/7?
True
Do 60128 and 60123 have the same value?
False
Which is smaller: -671542 or -671544?
-671544
Which is smaller: -18241 or -18239?
-18241
Which is bigger: -280585/7 or -40084?
-280585/7
Is -29128 <= -174775/6?
False
Which is bigger: -1765 or -1782?
-1765
Which is smaller: -0.11 or 195?
-0.11
Which is greater: -66949 or -66951?
-66949
Is 422 less than 478?
True
Is 159122 < 159122?
False
Which is smaller: 20.17 or 10.7?
10.7
Is -2 bigger than -1138/1259?
False
Is -541 less than or equal to 1998?
True
Is -0.60077 <= 2/3?
True
Is 8115/17 less than or equal to 478?
True
Which is smaller: -167124 or -167126?
-167126
Which is smaller: -781 or -299?
-781
Is 347 < -804?
False
Which is greater: -1 or -54/70777?
-54/70777
Which is bigger: -2 or -323/277?
-323/277
Is 2314 greater than -12?
True
Is -1/200963 less than 0?
True
Is -109 < -181?
False
Which is bigger: -10/41 or 2/79903?
2/79903
Is 2.297964 > -0.1?
True
Is -269375 bigger than -269375?
False
Which is smaller: 9730/191 or 2/5?
2/5
Which is greater: 19 or 523/29?
19
Is -5906 <= -5907?
False
Does -1 = -24/8227?
False
Is -7448/115 less than or equal to -64?
True
Do -9419.9 and -0.1 have the same value?
False
Are 4/898231 and -1 nonequal?
True
Which is smaller: -4/496805 or 0?
-4/496805
Is 50143 > 50237?
False
Which is bigger: 194128 or 194129?
194129
Does 0 = 5/222554?
False
Which is greater: 20 or -222189?
20
Is 1 bigger than 11716/3?
False
Which is bigger: 1.37 or 117/5?
117/5
Which is bigger: 1 or 3/2915329?
1
Which is smaller: 83111/3 or 27704?
83111/3
Are 109788 and 109786 non-equal?
True
Is 2792 at least 30724/11?
False
Which is smaller: -181/6375 or 0?
-181/6375
Which is greater: -3/28 or 23059?
23059
Which is bigger: 0 or -95/3843?
0
Is -69843/7 at least as big as -9978?
True
Is -4677602/11 equal to -425238?
False
Which is greater: -2/851813 or 1?
1
Which is bigger: 330212 or 330211?
330212
Which is greater: -1 or -19/53176?
-19/53176
Are -3673 and -199 nonequal?
True
Which is bigger: 29476 or 0.3?
29476
Which is greater: 4/123 or 25.1?
25.1
Is 4337 less than or equal to 4332?
False
Is 1.2 at most as big as 54876?
True
Which is smaller: 0 or -8/612755?
-8/612755
Is 1918755 at most 1918755?
True
Which is smaller: 13530 or -69?
-69
Which is greater: 7/3257 or -1?
7/3257
Are 0 and 310/1307 unequal?
True
Do 2/3 and -65.86 have different values?
True
Which is greater: -135/13 or 4?
4
Which is bigger: 0 or 441/2746?
441/2746
Is 1 <= -50/8411?
False
Is -5248 greater than -5259?
True
Which is bigger: 27939/4 or 6984?
27939/4
Which is smaller: -1 or 0.301174?
-1
Which is smaller: 8858 or 8745?
8745
Is -1 greater than 1/13287?
False
Is -46718 > -46724?
True
Which is smaller: 828931/2 or 414466?
828931/2
Which is bigger: 523175 or 523171?
523175
Is 0 less than 524/4859?
True
Is -0.057926 greater than or equal to 0.2?
False
Which is great
|
{
"pile_set_name": "DM Mathematics"
}
|
- 1. Let f = 1/19 - 24/95. Which is the second biggest value? (a) -2/11 (b) p (c) f
a
Let u be 120/224 + 1/(-4). Let p be 1/(-4) + (-7)/4. Let x be -1 - (p + -2) - 1. Which is the smallest value? (a) u (b) x (c) -5
c
Let c = 12 + -47/4. Let j = 0.14 - 7.14. Let d = j + 7. What is the smallest value in -2, d, c?
-2
Let z = -43 - -43.2. Which is the second smallest value? (a) z (b) 1 (c) 0.1
a
Let g = 2.9 - -1.1. Let n = 3 - g. Which is the third biggest value? (a) -0.3 (b) -4 (c) n
b
Let i be -4 + (-1)/(-3) + (-49)/(-15). Which is the smallest value? (a) i (b) -5 (c) -1/4 (d) 0
b
Let v be (9/6)/((-20)/(-8)). Which is the third biggest value? (a) 0.5 (b) v (c) 5/2
a
Let t = 0.17 - -0.83. What is the third smallest value in t, 3/7, 0.02?
t
Let o be 0 - 0/(-3*3/(-9)). Which is the second smallest value? (a) o (b) 5 (c) 0.4
c
Let m = -20.7 - -21. What is the biggest value in -0.1, -3/5, m?
m
Let c = 554/7 + -4523/56. Let j = -23/24 - c. What is the smallest value in 2/5, -1/4, j?
-1/4
Let y = 217/6 + -36. What is the second smallest value in 0.03, -3, y?
0.03
Let p be -1 - 294*6/2788. Let h = p - -29/17. Let z = 23/246 + h. Which is the second smallest value? (a) -0.3 (b) 5 (c) z
c
Let n be (0 - -2)*(-3)/2. What is the second biggest value in n, -0.1, 0?
-0.1
Let x = -37/14 - -15/7. What is the second biggest value in x, 2, 7?
2
Let l be 1/2 + (18/(-52) - 0). Let k = -1.8 + -0.2. Let n = 2.1 + k. What is the second biggest value in n, l, 1?
l
Let j be -2 + 26/9 + (-10)/45. What is the third smallest value in j, 3, -4, -8?
j
Let h be (-2)/4 + 18/20. Suppose i + 7 = 11. Let x = -97 - -677/7. Which is the third biggest value? (a) x (b) i (c) h
a
Let o = 0.8 - 1. Let r = o - 0.3. Let v = 7.3 - 7. Which is the second smallest value? (a) -3 (b) v (c) r
c
Suppose -5*l = -d + 17, -3*l = d + 9 + 6. Which is the second smallest value? (a) d (b) -5 (c) -1/5
a
Let u = -69.5 + 70. Which is the third smallest value? (a) u (b) -9/4 (c) 0.3
a
Let f = 32 - 27.6. Let o = -0.6 - f. What is the second smallest value in o, -4, 2/47?
-4
Let g = -63 + 38. Let m be (-10)/g + (-12)/5. Let w be (-2 - 1)*(1 + m). Which is the smallest value? (a) w (b) -0.4 (c) -4
c
Let w(s) = 2*s**3 - 2*s**2 - 3*s - 1. Let o be w(-1). What is the second smallest value in -1/2, 1, o?
-1/2
Let y be 132/(-16) + 2/(-1). Suppose g = -3*g, 4*h - 40 = 4*g. Let d = y + h. What is the third biggest value in d, -0.5, 2?
-0.5
Let h = -0.11 - 0.19. What is the second smallest value in h, -0.4, -1/9?
h
Let n = -0.5 - 3.5. Let v = 72.7 + -73. What is the second smallest value in v, 2/5, n?
v
Let o = 0.02 + -0.12. Let r = -12 - -12.07. What is the biggest value in -3, o, r?
r
Let j(q) = q**2 + 10*q + 7. Let z be j(-9). Let g be ((-14)/(-21))/(z/3). Which is the smallest value? (a) g (b) 2 (c) 0.4
a
Let j = -5 - 0. What is the smallest value in j, 3, -5/2?
j
Let g = -16.78 + -0.22. Which is the second smallest value? (a) g (b) -0.1 (c) 4 (d) 1/3
b
Let n = 2.14 - -0.91. Let r = 0.05 - n. Let t = 1 + -1. Which is the third biggest value? (a) 2 (b) t (c) r
c
Let j = 0.04 + -1.14. Let z = j + 1. What is the smallest value in 2/15, -5, z?
-5
Let k = 9 + -8. What is the third biggest value in k, 0.2, 3?
0.2
Let p = -1 + -1. Let x be ((-27)/42)/((-12)/14). Which is the third smallest value? (a) p (b) x (c) -2/3
b
Let y be 1 + (-572)/5 + 1. Let f = 112 + y. Suppose -4 = -2*i - n - n, 4*i - 6 = -5*n. Which is the second biggest value? (a) i (b) f (c) -2
b
Let n = 0 + 0. Let o(t) = t + 10. Let k be o(-9). Let u be 0/5 + k/(-7). Which is the biggest value? (a) n (b) -0.2 (c) u
a
Let x = -12/7 + 2. Suppose -2*j - 5*n - 4 = 0, 2*j = -j + 3*n - 6. What is the smallest value in j, -1/4, x?
j
Let x = -0.7 + 1. Suppose 0 = -3*q - 3*l - 24, 2*l + l + 14 = -q. Let h be (6/5)/((-4)/q). What is the second smallest value in h, x, 5?
h
Let n = -0.24 + -0.76. Let u = 1.1 + -1. Let w = 3 + -1. Which is the biggest value? (a) n (b) u (c) w
c
Let w = -30 - -30.3. Let v = 418/9 + -29687/639. Let p = v - -291/497. Which is the second biggest value? (a) p (b) 3 (c) w
a
Let o(x) = x**3 - 12*x**2 - 5*x - 2. Let m be o(12). Let h = m + 311/5. Which is the smallest value? (a) h (b) 2/9 (c) 3/8
a
Let o = -3 - -1. Suppose 3*f - 128 = 124. Let z be 4/(-14)*f/(-108). What is the second smallest value in z, o, 2/17?
2/17
Let x = -1.6 - -1.9. Which is the third smallest value? (a) x (b) -3 (c) 3/4
c
Let m be -5*1/2*-4. Let v be (m/15)/((-2)/3). Which is the third biggest value? (a) -3 (b) 3/4 (c) v
a
Let t = -71 + 71.2. What is the smallest value in t, 2/7, -3/5, 4?
-3/5
Let w = 0.35 + 0.05. Which is the second biggest value? (a) w (b) 0.2 (c) -2/5
b
Suppose 5*u - 4*u + 4 = 0. Let a be (u/3)/(2/6). Let v be (3/21)/(a/8). What is the smallest value in 0.4, 0.3, v?
v
Let z = -17 + 12. Let i = -1 + 1. Let l = 0.5 - i. Which is the third biggest value? (a) l (b) -0.4 (c) z
c
Let j = -2 - -2.2. Which is the third smallest value? (a) j (b) -0.5 (c) -0.2
a
Let h = 4 - 1. Let d be h/((-2)/2)*-1. Suppose 0 = d*s + 5*v + 35, -v = -s + 1 - 2. Which is the third smallest value? (a) 1/2 (b) s (c) -0.2
a
Let t = -0.01 + 4.01. Let y = 189 - 189.3. Which is the biggest value? (a) -5 (b) y (c) t
c
Let b = 3001/11 - 273. Let f = -23 - -23. What is the biggest value in f, 1/5, b?
1/5
Let r = 4266785296803/34215461 - -7/4887923. Let g = -124953 + r. Let n = g - -250. What is the smallest value in -0.2, n, -2?
-2
Let f = -83.3 + 83. Which is the biggest value? (a) 0.2 (b) 2/3 (c) 3 (d) f
c
Let f = 0.54 + -0.24. What is the second biggest value in 2, f, 3?
2
Let d = 49.4 + -40. Let v = -9 + d. Which is the second biggest value? (a) 2/17 (b) -1/4 (c) v
a
Let o = 7 - 6.7. Which is the third biggest value? (a) o (b) 0.1 (c) -6
c
Let r = -1 - 2. Let l = 284 - 280.01. Let t = l + 0.01. What is the third biggest value in -0.2, t, r?
r
Let v = -0.38 + -0.02. Let f = 1 + v. Let z = 2.6 - f. Which is the biggest value? (a) 2/5 (b) z (c) 4
c
Suppose 5*f - 6 = -11. Which is the third smallest value? (a) f (b) 3 (c) 1
b
Let j be (-68)/14 + 30/(-210). Suppose -3*v + 6*v = -k - 8, 4*k - 28 = 3*v. Which is the smallest value? (a) 2/5 (b) k (c) j
c
Let r = -6 + 9. Let x be 92/(-20) - (-4)/(-10). Let w be 1 + (-2 - 0) - x. What is the second smallest value in 2, w, r?
r
Let t = -22.4 + 22. Let f = -3 + 2.8. Which is the second smallest value? (a) t (b) -1/3 (c) f
b
Let w = 38 + -40. Which is the second biggest value? (a) 0.1 (b) w (c) -7
b
Let z(x) = -x**3 - 6*x**2 - 4*x. Suppose 4*w = -14 - 6. Let m be z(w). What is the smallest value in 1/3, m, -0.4?
m
Suppose 0 = 2*r - 0*r + 32. Let d = r + 11. Let i be 0 - (-2)/(-4)*d. Which is the smallest value? (a) -4 (b) 1/4 (c) i
a
Let i be 9/(-45)*(-10)/8. Let r = -23/4 + 127/20. Which is the second biggest value? (a) -0.2 (b) r (c) i
c
Let m = 12 - 9. Which is the third biggest value? (a) -6 (b) 2 (c) m
a
Let l = 27 + -25. Which is the second biggest value? (a) -0.2 (b) -4 (c) l
a
Let i = -1/5 + 7/10. Let v = -1.38 + 0.98. What is the second biggest value in 4, v, i?
i
Let t = -14 + 67/5. Let j = -0.0219 + -3.0081. Let k = j - -0.03. What is the second biggest value in -2, t, k?
-2
Let m = -22 + 21.8. Let v = -51/22 - -5/2. What is the third smallest value in -2, v, m?
v
Let s = 0.7 - 1.3. Let p = 5.6 + s. Which is the second biggest value? (a) 0 (b) 3 (c) p
b
Let q = -286 + 3148/11. What is the second smallest value in q, 42, 5?
5
Let h = -1 + 2. Let s be (h - (-2 + 2))/3. Let p = 3 - 7. Which is the second smallest value? (a) p (b) s (c) 1/7
c
Let q = 9 + -3. Let x = -0.06 - 4.94. Let z = x - -4. Which is the second biggest value? (a) -3 (b) z (c) q
b
Let d = 7.03 + -0.03. Let x = 2 - d. What is the smallest value in 1, x, 5?
x
Let a = 91 - 91.06. What is the biggest value in 0.5, -2/5, a?
0.5
Let u be -4 + 1 - (-901)/7. Let v = -126 + u. Let w = 548/3393 + -2/261. What is the third smallest value in v, w, -0.2?
w
Let a = -6 + 4. Let r = 0 + a. Let z = -0.3 + -2.7. What is the second biggest value in 1/4, r, z?
r
Let x = 15553/54 + -288. Let y = x - 5/27. Which is the third biggest value? (a) 5 (b)
|
{
"pile_set_name": "DM Mathematics"
}
|
he form p + c*x and give c.
4
Rearrange ((-c - c + 0*c)*(-3 + 2 + 2) + 3 + c - 3)*(-c - 3*c + 3*c) + 11*c**2 - c**2 + 3*c**2 to z*c + g*c**2 + r and give g.
14
Express (7*t - 17*t + 8*t + 149)*(1 - 1 + 3) as h*t + u and give h.
-6
Rearrange (112*c - 8*c + 4*c)*(-10*c + 10*c - 33*c) to n*c + g + s*c**2 and give s.
-3564
Rearrange (-19 - 21 + 71)*(2*q + 2 - 2) - 2*q - q + 5*q to z + s*q and give s.
64
Rearrange (6*g + 47*g + 3*g)*(-145 + 21*g**2 + 145) to the form f + d*g**3 + y*g + j*g**2 and give d.
1176
Rearrange (-13*y**2 + 85*y**2 + 6*y**2)*(-3*y + 2*y + 3*y)*(-2 + 3 + 1) to the form z*y**3 + t*y + d*y**2 + g and give z.
312
Express -106*h**3 + 356*h**3 - 34 + 32 + 229*h**3 in the form n*h**2 + d*h**3 + b*h + p and give d.
479
Express 7 - 11*a - 3 - 6 + (-3 - a + 3)*(2 - 1 - 2) + 4*a + 4*a - 6*a - 5*a + 5*a - 2*a - 268 + 49*a + 268 in the form o + p*a and give o.
-2
Rearrange ((t**2 + 0*t**2 - 2*t**2)*(34 + 12 - 17) + 5*t**2 - 2*t**2 + 0*t**2)*(0*t - 4*t + 2*t) to the form h*t**2 + b + w*t + q*t**3 and give q.
52
Express -3*v - 2*v - 12 - 1 - 2*v in the form f*v + p and give f.
-7
Express (-4*y**2 - 2 + 88*y + 6*y**2 - 76*y)*(2*y + 8*y - y + (5 - 2 - 2)*(2*y - 2*y - 2*y)) in the form m + l*y + i*y**2 + z*y**3 and give i.
84
Rearrange 0*f - 3*f + 2*f + (-3 + 3 + 2*f)*(-4 + 5 + 1) + 0*f + 2*f - f - 3*f - 2*f - 4*f + (2*f + 0*f + 2*f)*(-1 - 1 + 4) to the form u*f + t and give u.
3
Express -10 + 34 - 2*t**2 - 2*t**3 + 3*t + t**3 - 26 in the form b*t + k*t**2 + i*t**3 + z and give k.
-2
Rearrange -99*j**3 - 5 + 3 + 1 + 266*j**3 to c*j + b + q*j**2 + r*j**3 and give c.
0
Rearrange (-1 - 5 + 0)*(-2*r + 7*r**2 + 2*r)*(-5 + 15 - 4) to the form i*r**2 + f + h*r and give i.
-252
Rearrange (d - 10*d - 9*d)*(d + d - d)*(0 + 3 - 1)*(-3*d + d + 0*d) - 2*d**3 - d**3 + 0*d**3 to r*d**3 + v*d + l + c*d**2 and give r.
69
Express 0 - 2*m**4 + 7*m + 58717*m**2 - 58715*m**2 - m**3 + 3 in the form c*m**2 + q*m + i + w*m**4 + t*m**3 and give t.
-1
Rearrange 64*o**3 - 111*o**3 - o - 32*o**2 + 29*o**2 to p*o**2 + h + w*o**3 + u*o and give u.
-1
Rearrange (52 + 4 + 37)*(2*u - u**2 - 2*u)*(-u + 2*u + 0*u) to the form f*u**2 + p*u**3 + d + b*u and give d.
0
Rearrange -41 - 5*r - r - 4*r - 3*r + 10*r to o + w*r and give o.
-41
Rearrange -p + 4*p + 5*p**2 + 2 + 2*p**2 + 5*p**3 + p**3 + 0 to g + b*p**3 + w*p + z*p**2 and give w.
3
Rearrange -2*s + s + s**4 + 0*s + (3*s**3 - 3*s**3 + 6*s**3)*(s - 10 + 18 + s) to k*s**2 + p + w*s + o*s**3 + u*s**4 and give k.
0
Rearrange -22 - 10 - 14 - 58 + 2*m to the form b*m + t and give t.
-104
Express (-5*t + 1 + 1 + t)*(-1 + 4 - 2) - 501*t + 2*t + 260*t in the form y + f*t and give f.
-243
Rearrange -340*x - 1356 - 1365 + 2722 to the form i + q*x and give q.
-340
Rearrange (j + 4*j - 6*j)*(1402 + 65 + 1542 - 865 + 3082) to the form n*j + y and give n.
-5226
Express (-h - h - h)*(-24 + 60 - 57)*(-h + 2*h + h) as g*h**2 + c + v*h and give g.
126
Express 20 + 28 - 20 - 81*q + 77*q as s + f*q and give s.
28
Express (7*t**2 + 8*t - 8*t)*(6*t + 2*t + 11*t) + t**3 + t + 4*t**2 - 3*t - 3*t**2 in the form x*t**3 + a + o*t + i*t**2 and give i.
1
Express (8 + 1 - 5)*(2 + 1 - 5)*(3*k**4 + 2*k**4 - 3*k**4) - 5 + 5 + k**4 as b*k + i*k**4 + l*k**2 + g*k**3 + h and give i.
-15
Rearrange (j + 3*j - 5*j)*(-2*j**2 + 0*j**2 + 0*j**2) + 8083 - 65*j - 116*j + j**2 - 8079 + j**3 to the form w + l*j**2 + b*j**3 + n*j and give l.
1
Rearrange 107*l + 193 + 61*l - 98 - 96 to x + q*l and give q.
168
Rearrange (-3*j - 2*j + 4*j)*(1 + j - 1) + 1065*j**2 + 664*j**2 + 1916*j**2 - 614*j**2 + 164*j**2 to the form w*j**2 + i*j + t and give w.
3194
Express 49*n - 709*n**2 + 59*n - 74*n**2 - 108*n as c + r*n + q*n**2 and give q.
-783
Rearrange n + 91*n**3 + 3*n**2 - n**4 - 47*n**3 + 3 - 46*n**3 to the form u*n**3 + t*n**2 + p + k*n + f*n**4 and give p.
3
Rearrange 78 + 6*z - 2*z + z + 3*z**3 - 88 to d*z + g*z**3 + u + b*z**2 and give g.
3
Rearrange 12 + 6*k + 2 + 280*k**2 - 14 - 273*k**2 + 2*k**3 - k**4 to z*k**4 + x*k**2 + m + r*k + f*k**3 and give f.
2
Express (-2*u - 2 + 2)*(2 - 2 - 4)*(21*u + 16*u - 35*u) in the form f*u + a*u**2 + t and give a.
16
Express 403 - 403 + 47*j**2 as m*j + f*j**2 + g and give f.
47
Express -1169*k**2 + 188*k**2 - 567*k**2 in the form w + z*k + r*k**2 and give r.
-1548
Rearrange 48*r**2 + 30*r**2 - 219*r**2 - 2*r - 383*r**2 to o + l*r**2 + v*r and give l.
-524
Express 2*a + 3 + 0*a - 2 - 8*a as b*a + z and give b.
-6
Express 0*w + 2*w - w + (62 - 29 - 9)*(-2*w + 4 - 4) in the form q*w + f and give q.
-47
Rearrange -238*d - 207*d + 52*d to the form m + s*d and give m.
0
Rearrange 1 - 174*x - x**4 + x**2 + 352*x - 185*x to p*x**3 + y*x**2 + w + t*x**4 + l*x and give w.
1
Rearrange (-4 + 3 + 3)*(0*r - 3*r + r)*(0 + 2 - 5) + 358*r + 265*r - 763*r to the form p + j*r and give j.
-128
Rearrange (-3*i + 3 - 3)*((2 + 11 + 2)*(5*i - i - 3*i) - i + 3*i - 4*i) to p + r*i**2 + b*i and give r.
-39
Rearrange -215*y + 338 + 432*y - 218*y to the form g*y + v and give v.
338
Rearrange -677880 + 677880 + 1080*c**2 to the form t*c + f*c**2 + r and give f.
1080
Rearrange (22 - 60 + 4)*(-6 + 5 + 9)*(-1 - 2*s + 1) to g*s + n and give g.
544
Rearrange (0*m - 3*m + 0*m)*(-4 - 13 + 8)*(1 - 1 - 2*m) to the form k + u*m + o*m**2 and give o.
-54
Express (-8 + 24 - 7 + 28)*(-4*u**2 + u**2 + 0*u**2) - 2*u**2 - 5*u**2 - u**2 in the form x*u**2 + i + r*u and give r.
0
Express -341*c**2 + 341*c**2 - 98*c**3 - c**3 - c + c + (2*c - 2*c**2 - 2*c)*(c + 2*c - 2*c) + c**3 - 5*c**3 + c**3 as v*c + w*c**3 + d*c**2 + f and give w.
-104
Express -10 - 3*y**2 - 4*y**2 - 21*y**2 in the form o*y**2 + w*y + b and give o.
-28
Rearrange 623 + m**2 - 2*m**2 - 2*m**3 - 17*m - 619 to the form t*m**2 + h*m + j*m**3 + u and give u.
4
Rearrange 97*f + 38*f - 34*f - 2*f - 2*f + 6*f + (-f + 4 - 4)*(2 - 6 - 1) to the form u*f + l and give u.
108
Express 44*t + 16*t**3 - 35*t**3 + 17*t**3 + 19*t**3 in the form s + j*t**2 + v*t**3 + l*t and give v.
17
Express -23*b**2 - 6*b**3 + 2*b**4 + b - 9 - 21*b**3 + 23*b**2 as j*b**4 + q*b**2 + l + g*b**3 + f*b and give l.
-9
Rearrange -2 - 545*u**3 - 7*u**2 + 4*u**2 + 549*u**3 to the form w*u**2 + b*u + m*u**3 + d and give b.
0
Express -6*q**2 - 2*q - 213 + 7*q**2 + 2*q**3 + 214 - 3*q**4 as f*q**4 + w*q**2 + h + u*q**3 + j*q and give f.
-3
Express -2*g**4 + 1497 - 6*g + 30*g**2 + 3*g - 1496 in the form y*g**2 + h*g**4 + f + z*g + x*g**3 and give h.
-2
Rearrange (-2*y**2 - 2*y**2 + 5*y**2)*(138 - 58 - 55 - 2*y)*(-13 + 2 + 2) to u*y**3 + a*y**2 + p*y + q and give a.
-225
Rearrange -69*b**4 + 67*b**4 - b**2 + 55*b**3 + 2*b - 1 - 52*b**3 to the form w*b**3 + o*b**2 + r + v*b + i*b**4 and give r.
-1
Express -773*c - 2*c**4 + 3*c**4 + 4*c**3 + 2*c**4 + 786*c - 1 as m + j*c**2 + f*c**4 + q*c + x*c**3 and give x.
4
Express -5629*c**2 + 11259*c**2 + 2 + 1206*c - 5629*c**2 + (2*c - 4*c + 4*c)*(4 - 2*c - 4) in the form k*c**2 + m*c + z and give k.
-3
Express -45*t**3 - 29*t**2 - t + 19*t**2 + 9*t**2 + 1 as d*t**3 + f*t + s + o*t**2 and give d.
-45
Express (-3 - 1 + 5)*(-2*h - 3*h + 6*h) - 2*h + 0*h + 5*h + 8*h + h + 10*h as p*h + u and give p.
23
Rearrange 531*v - 5*v**2 - 1600*v - 23*v**3 + 533*v + 539*v to the form w*v + i*v**3 + n*v**2 + h and give n.
-5
Rearrange -411*j - 3*j - 8*j + 4*j to the form v*j + k and give v.
-418
Rearrange (-2*k**3 + 3*k**3 + k**3)*(2 + 2*k - 2) - 2731*k**4 + 488*k**3 + 211*k**4 - 488*k**3 to the form d*k**3 + r*k**2 + x*k**4 + c*k + v and give x.
-2516
Express (52 - 831*a - 824*a - 824*a + 2475*a)*(5*a**3 - 5*a**3 + a**3) as w*a**4 + q*a + v*a**3 + y*a**2 + g and give w.
-4
Express -109*a + 62*a + 11 + 81*a as m + j*a and give m.
11
Express (-2 - 3 + 4)*(-6*y + 3*y + 2*y) + (5692 - 518*y - 5692)*(-4 + 3 - 2) in the form a*y + n and give a.
1555
Express (2 - 5 + 1)*(-4*l + 2*l + 0*l) + 11*l - 5*l - 87 + 105 as a*l + u and give u.
18
Rearrange -38*l**3 + 40*l**3 + 3*l + 0*l - l - 607*l**2 to the form p + w*l**3 + i*l + n*l**2 and give n.
-607
Rearrange 2994*y**2 + y**3 + 2994*y**2 - 105*y**4 - 5991*y**2 to r*y + l*y**3 + f*y**2 + o*y**4 + n and give f.
-3
Rearrange (3 - 1 - 1)*(-7*o + 77*o + 16*o + (-2*o + 0 + 0)*(2 + 3 - 4) + 0 - 2*o + 0 + 2*o - 2*o + 2*o) to the form l*o + b and give l.
84
Express -w + 243*w**2 - 560*w**2 + 6 + 289
|
{
"pile_set_name": "DM Mathematics"
}
|
*z + 2*l + 54. Let i be 0 + 0 + 0 - s/z. Solve -f + 8 = f - c, -3*c + 31 = i*f for f.
5
Suppose 0 = 2*r - 21 - 67. Let n = r + -44. Solve 3*q - 5*m + 3 + 8 = n, 4*m = -q + 19 for q.
3
Suppose 0 = -5*u - z + 52, 4*u + 2*z - 7*z = 30. Solve 0 = x - 4*d - 9, 0 = -6*x + u*x + 2*d + 18 for x.
-3
Let v be 16/6*(-5 + (-65)/10 - -13). Solve -s = -v*y - 11, 105*s - 108*s = 15 for y.
-4
Suppose -4*u + 9*u + 5*n - 10 = 0, -n + 2 = -5*u. Suppose -23*q - 3883 = -3975. Solve -q*t = r - 20, -r + 0*r + 4*t - 20 = u for r.
0
Let m be 5/(-50) + (-2 - 1098/(-180)). Solve 25 = m*x - 4*d + 13, 0 = 3*d + 15 for x.
-2
Suppose 61*h - 119*h = 0. Solve -14*u + 9*u - z + 21 = h, -11 = u + 4*z for u.
5
Let h be -3*(942/18 + 6). Let u = h + 180. Solve -6 = -4*n + 2*k, 4*n - k = u*n - 6 for n.
3
Let t be 20 + 13 - 11/(55/(-50)). Solve -27 = -2*b + 3*o, -5*b + 6*o - 2*o + t = 0 for b.
3
Let s = 552 + -549. Suppose 36 = 3*t - 3*v, 0 = -t - v - 24 + 32. Solve s*x - 4*b - t = x, 2*x - 10 = b for x.
5
Let y = 5116 - 5029. Solve -4*w + b - 103 = -y, 3*w - 2*b + 17 = 0 for w.
-3
Let j = 70 - 68. Let q be 1*(3 + -3) - j. Let r be 5 - (q + 0 + (-6)/(-1)). Solve -4*k - 3 = r, 3*v = 3*k for v.
-1
Let u be (-3 + (-168)/(-49))/(111/518). Solve -3*y + 11 = u, 0 = -5*q - 3*y + 14 for q.
1
Suppose -3*s + 72 = -z, -4*s + z = 3*z - 96. Let h = s + -19. Suppose -y - y = -5*g + 29, 2*g = -h*y. Solve -3 = g*f + 2, -4*u + 10 = -2*f for u.
2
Let a be 8217/1743 - (24/(-126))/((-4)/(-6)). Solve 5*w + 5 - 22 = 4*m, a*w + 2*m = -1 for w.
1
Let u = -80 + 245. Let p = u - 160. Solve -p*l = 3*b - 8, -3*l - 8 = -l + 4*b for l.
4
Let f be (-4 - -1)*(-16)/6. Let x = 188 + 61. Let t = x - 247. Solve d = 5*a - 2*d + 19, t*a + f = d for a.
-5
Let z = 4605 - 4601. Solve -6*x = 4*q - 8, 5*x - z*q + 3 = -5 for x.
0
Let o = 8 - 6. Let p = o - 2. Let j be 68/(3944/638) - (-1 - -8). Solve 5*t = 5*b - 40, p = -4*b + b + j*t + 27 for b.
5
Let l(t) = -15*t + 9. Let a(j) = 8*j - 5. Let i(n) = -5*a(n) - 3*l(n). Let u be i(1). Solve u = 3*w + 4*v + 16, 3*w + 1 = -v for w.
1
Suppose 0 = -12*x + 16*x + d - 20, 4*d = x - 5. Let k = 16 - 12. Solve 5*a - 7 = -p, -x = -p + a - k for p.
2
Let k(j) = -9 - 20 - 89*j + 94*j. Let q be k(7). Solve 5*w + 3 = q*w + 5*c, 0 = -5*w - c + 15 for w.
3
Suppose 5*s - 15 = 0, 7*x + 4*s - 12 = 3*x. Suppose x = -21*w + 58 + 5. Solve l - 5 = 4*t, 0*t - 5*t = -w*l + 8 for t.
-1
Suppose -4*u = -2*x - 4, -9*x = -7*u - 11*x + 40. Solve 2*o + i - 7 = 0, 5*i - 6 = -5*o + u for o.
5
Let y = 2450 + -2439. Solve 0 = -2*l + 3*s - 3, l - 5*l - y = -s for l.
-3
Let s = 2909 + -2905. Solve q + s*o = -12, 18*q - 8 = 15*q - o for q.
4
Suppose f - 2 - 3 = 0. Suppose 0 = 3*b - 3*m - 24, -19 = 4*b - 2*b + 5*m. Let l = f - b. Solve -5*y + 2 = 4*r, -2*r = y + l*y for y.
-2
Let c(o) = o**3 + 2*o**2 - 3*o - 4. Let p be c(-3). Let z be ((-2)/(-1))/(-2 + (p - -8)). Solve 0 = -n - 3*u - 13, 2*n = 3*n - u + z for n.
-4
Suppose -20*s - 37 - 38 = -115. Solve 0 = -a - 2*t - 5, a - t + s = 3*a for a.
3
Let o = 250 - 260. Let v be 4/10 + ((-26)/o - 1). Let j(t) = 2*t - 7. Let n be j(5). Solve k = -3*a - n, -v*a - 4*k + 5 = -k for a.
-2
Suppose 47*x = 49*x - 6. Solve 4*s - 19 = -x*k + 4*k, -2*k = 6 for s.
4
Let h(q) = -7*q - 139. Let u be h(-19). Let n be (-3)/(-2) + (-10 - 69/u). Solve -12 = x - 5*r, 5*x - n*r + 7 = -9 for x.
-2
Suppose -p - 3*j = -232 - 41, j + 511 = 2*p. Let w = 259 - p. Solve -3*y = -i + 4, -4*y + 3 + w = i for y.
0
Suppose 0 = 8*m - 4*m + b - 15, -m + 6 = -2*b. Solve 5*x + 3*r = -0*r - 1, -m*x = -5*r + 23 for x.
-2
Let g be (0 + 12 - 4)/2. Let a be g*5/(-30)*-3. Suppose 0 = 5*o + 10, a*k - 4*o - 7 = 7. Solve 0 = -3*m - 3*y + 6, -k = -2*m - 5*y + 7 for m.
0
Let h be 168/52 - 417/1807. Solve -2*y + 2*j + 14 = 0, h*y + 347*j = 342*j - 3 for y.
4
Let j = 6 - -65. Suppose -4*q = -3*q + j. Let c = 71 + q. Solve 5*m = 4*v - 1, 3*v + 1 = 2*m - c*m for m.
-1
Suppose 0 = -p - 4*l + 15, -p - 12 = -4*p - l. Suppose 20*g = p - 3. Solve g = 2*j - 4*x + 10, 8 = -0*j + 2*j + 5*x for j.
-1
Let i = 89 + -79. Suppose i*u + 0*u = -2*u. Solve -10 = 5*x + 2*y - u*y, 2 = -x + 5*y for x.
-2
Let l = -5926 - -5930. Solve 2*g = -2*g - 8, 5*i - l*g - 13 = 0 for i.
1
Let j(a) = -a + 16. Let z be j(10). Suppose -25 = -z*l + l. Suppose -4*y - l*d + 4 = -d, -1 = y + 2*d. Solve 19 = -y*g - t, -2*t + 31 = -3*g - 6*t for g.
-5
Let t be (-4 - (-35)/14) + 210/4. Solve -4*m + 46 - t = -3*d, 0 = -3*d - 4*m + 13 for d.
3
Let j be (-3)/(-8) - (-2980)/160. Let l be (j/(266/80))/((-6)/(-21)). Solve -2*p + 4*g = 2*g - 14, 0 = -2*p + 5*g + l for p.
5
Suppose 2*x - 372 = 6*k, -5*x + 10*x + 4*k - 892 = 0. Solve 175*g - 25 = x*g, -4*u - g = -7 for u.
3
Let v(w) = w**3 - 17*w**2 - 27*w + 162. Let l be v(18). Solve p - 3*k = 13 - 18, l = 4*p - 5*k + 13 for p.
-2
Let r(d) = d**2 - 18*d - 201. Let b be r(26). Suppose b*a + 32 = 60. Suppose -4 - 11 = -5*l. Solve -a*k - l*t + 11 = -8, 2*t = 2 for k.
4
Suppose 37 = 5*j - 23. Let b be (-27)/81*1 - 5/(-15). Solve 5*t + 3*g - j = b, 3*t = 2*g - 4*g + 7 for t.
3
Let a be (91/14)/(-13)*-2. Let c be 1*6/3*a. Solve -28 = 4*z - c*h, -3*h - 15 = -z - 8*h for z.
-5
Suppose 5*n - 3*n = -36. Let b = n + 14. Let s be (-1)/b + (-891)/(-36). Solve -7*z = -2*z - 5*x + s, x + 7 = -3*z for z.
-3
Let t be ((-3)/(-6))/(3/(-24)). Let q be ((-6)/t)/(1/46). Let s = -49 + q. Solve -4*n - 5*o = s, -n = -2*n + 3*o + 12 for n.
0
Suppose 11 = 13*y - 18*y + 4*c, 0 = 5*y + 2*c - 13. Solve o - 9 = -4, 3*l - o = y for l.
2
Suppose 7*m = 14 + 7. Let s(p) = -p**2 - 18*p - 8. Let w be s(-9). Let c = w + -68. Solve 0 = m*y - 6, c*i - 5*y = -30 for i.
-4
Let f be 1/(-10)*5*(-3 + -3). Suppose -f*o + 18 = 4*r, 6*r = o + 2*r + 10. Solve 5*m = -k - 27, 0 = o*k - 0*k - 3*m - 11 for k.
-2
Let k(f) = f - 4. Let v be k(9). Let j = -1 + 3. Suppose 2*t = -j*t + 12. Solve 7*h - 2*h - v*o - 15 = 0, -4*h - 23 = t*o for h.
-2
Let f be ((-12)/33)/(8/(-44)) + 3. Suppose 3*p + 8 = f*k + 29, -4*p + 14 = -2*k. Solve 0 = 3*u, 3*c + 6*u - 15 = p*u for c.
5
Suppose -5*l = 11*l - 32. Suppose -5*k - 4*d = -l*k + 3, -k + 12 = -3*d. Solve 2*v = z, -4*v = -2*z - k*z for v.
0
Suppose 4*r - 125 = -5*d, r - 28 = 6*d - 4*d. Suppose -r*c + 32*c - 8 = 0. Solve -2*x - 3*l - 12 = 0, -c*x = 2*l + 9 + 7 for x.
-3
Let o(u) be the first derivative of -u**3/3 - u**2/2 + 135*u + 41. Let f be o(11). Solve 3*d - 2*h = -3 - f, h - 3 = 5*d for d.
0
Suppose 10*c + 43 - 93 = 0. Solve -5*g + c*d - 15 = -3*g, 0 = 3*d - 9 for g.
0
Let w = 30 - 6. Let t = w - 24. Suppose u + 0*u = t. Solve -z + 6*z - 2*j - 5 = u, -5*z - j + 5 = 0 for z.
1
Let v = 326 + -302. Let g be v/(-27)*-24 - 2/6. Solve 4*q + 12 = h, -6 = -5*q - 3*h - g for q.
-3
Let v(p) = -p - 8. Let w(r) = r + 7. Let k(u) = -5*v(u) - 4*w(u). Let b be k(-7). Suppose 28*m - 74 = 66. Solve -17 = -o - o + m*z, -3*o + 13 = -b*z for o.
-4
Suppose 5*m - k = 543, -m + 251 = -4*k + 169. Solve -4*c = -113*r + m*r + 3, -4*c + 3 = 3*r for c.
0
Suppose 211 + 248 = 17*l. Suppose -2*z = -2*a - l + 1, -37 = -4*z + a. Solve 3*b + z = -h, 4*b + 3*h = 5*h + 6 for b.
-1
Let t be (-8*(-30)/320)/((-1)/(-40)). Suppose 75 = -2*q + 7*q + 4*b, -5*b = -2*q - 3. Suppose -g - t = -q*g. Solve a - g*a + 2*z = 8, -a - 2*z + 2 = 0 for a.
-2
Let g be (-55 - -57)*(-8)/(-2*2)*2. Solve -3*y + 4 = 10, -3*i - 2*y = -g for i.
4
Let v(l) = l**3 - 28*l**2 + 50*l + 57. Let q be v(26). Suppose -q*k = 11*k - 2*k. Solve -4*p = 2*o - 16, -o - 3*p = -11 - k for o.
2
Suppose -46*p + 1708 = -4548. Let t be 17/(p/168)*3/9. Solve 4*o = -2*m + t*m - 24, 3*o = 3*m - 15 for o.
-1
Let v = -22 + 22. Suppose 2*p + 11 - 3 = v. Let x be 58*(10/36 + p/(-18)). Solve -i = y + 3, 2*y = 4*i - 5 + x for y.
2
Let n(k) = k**2 + 2*k - 6. Let b be n(-4). Let t = -446 - -449. Solve 4*w = 3*u - 13, -5*w + t*u + b = 16 for w.
-1
Let n = 47 + -19. Suppose -67*t = -74*t + n. Solve 3*y + 3 = 3*w + 24, t*y - 8 = 0 for w.
-5
Suppose 2*p - 509 = -3*y, -y + 0*p + 178 = -p. Suppose 2*x - y = -137. Suppose x = 13*j - 47. Solve -2*f = -z + 2*z - j, -z = 4*f - 13 for z.
-3
Let z(o) = -2*o**2 + 24*o - 87. Let i(f) = -f**2 + 12*f - 44. Let d(v) = -5*i(v) + 2*z(v). Let x be d(4). Solve 2*a - x = 3*t + 3, 2*a + t - 5 = 0 for a.
4
Suppose 4*y + 2 = -6, 8 = 2*l - 4*y. Suppose -7*d = -5*d - 38. Let r be (d - 19) + 5/1. S
|
{
"pile_set_name": "DM Mathematics"
}
|
4*m + 38 for s.
-2
Solve 9*f + 5*s - 3507 = 6*f - 3626, 3*s = -3*f - 111 for f.
-33
Solve 2*p - 38206 + 38220 = -q, -82*p - 26*p - 3*q - 348 = 0 for p.
-3
Solve 41 = 2*q + 151*h - 150*h, -q + 5*h + 26 = 0 for q.
21
Solve 7*s - 6*s + 4*s = 75, -10*s + 198 = -7*b - s + 63 for b.
0
Solve 21 + 5 = 3*l + 4*a, -7*l + 2*a + a + 56 + 54 = 0 for l.
14
Solve 51 - 71 = 2*h - 4*y, 65 = -5*h + 13*y for h.
0
Solve -10654 = 4*i - 2*w - 10690, 5*i + 15*w + 165 = 0 for i.
3
Solve 39 = 6*z - f, 0 = -3*z + f - 55 + 33 + 49 for z.
4
Solve 59*o = 3*t - 543, 2*t = -7797*o + 7795*o - 10 for t.
4
Solve 3*n = 768482 - 768476, 2*n = 2*f - 6 for f.
5
Solve -2*k + 4 = 195*z - 208*z, -5*k + 5*z + 10 = 0 for k.
2
Solve 40 = 4*t - 3*b, -2*b = -20656*t + 20666*t + 52 for t.
-2
Solve q - 4*z + 324 = 51*q + 90, 4*q + z = 16 for q.
5
Solve s = -3*w - 40, -285*w - 70 = 5*s - 137*w - 143*w for s.
-1
Solve -35*y + 127*c = 122*c - 50, -5*y + 2*c + 2 = 0 for y.
2
Solve 47*b - 99*b + 51*b - 16 = -4*k, -3*k + 12 = -5*b for b.
0
Solve -16*y = -303*u + 306*u + 598, -6*y + 4*u = 214 for y.
-37
Solve 2*y - y + 5*p - 25 = 0, 0 = 5*y - 8*p + 8356 - 8481 for y.
25
Solve 4*n = -3*i - 2*n - 21, 27*i + 3*n = 26*i - 8 for i.
-5
Solve t = -2*h - 0*t + 37, -670*h - 2*t + 974 = -621*h for h.
20
Solve -r - 2*h + 13351 = 13339, 26*r + 5*h = 30 for r.
0
Solve -3*g - 51 = -20*x - 13*x + 18, x = -g + 1 for g.
-1
Solve 2*c - 123 = 7*c - 5*s - s, -6*s + 111 = -c for c.
-3
Solve -58627*p + 58625*p + 9 = -3*y, 0 = -y + 5*p - 3 for y.
-3
Solve 3*c - 3*h + 104 - 2 = 0, 14*c + 11*h - 249 = 0 for c.
-5
Solve 0 = 66*z + 4*x - x + 120, 25*x - 20*x = 5*z - 200 for z.
0
Solve 5*o - 10*y = 90, 942*o = 946*o - 4*y - 76 for o.
20
Solve -42*h - 14 = 12*h - 3*m + 5*m, 2*m = -14 for h.
0
Solve -u + 5*s = 80, -3*u = -2449*s + 34915 + 1835 for u.
-5
Solve -14*c - 2*k - 71 = -11*c, -3*c - 5*k - k + 178 = -11*c for c.
-23
Solve 6*i - 2*z = -3111 + 3097, -2*i - z + 5 = -12 for i.
2
Solve -8*w = -3*w - 4*z + 33 - 51, -5*w + 16 = -44*z + 41*z for w.
2
Solve -2*n = 3*d - 0*n + 39 - 15, 8*n = -d - 8 for d.
-8
Solve 4*t = 2*p + 36, 0*p - 539 + 515 = 3*p + 4*t for p.
-12
Solve -446*p - 2*j - 158 = -451*p, 6*p + 4*j + 284 = 0 for p.
2
Solve 124 = 10*u + w, -95*u = -9*u + 3*w - 763 - 281 for u.
12
Solve -3*z - 3*d - 126 = 0, 625 - 367 = -29*z - 5*d for z.
-2
Solve -14*y + 673 = 3*m, 5*m - y - 73215 = -73237 for m.
5
Solve 5*f = -2*b - 56, 9*f + 11666 = -4*b + 11564 for f.
-10
Solve 27*l + 5*o - 158 = 40*l, -2*o + 6 = 0 for l.
-11
Solve 0 = 2*w - 4, 58*f - 54*f + w - 18 + 22 = 4*w - 22 for f.
-5
Solve 3*t + 3*j - 2*j = 4*j + 14 - 32, -16 = 4*j for t.
-10
Solve -114025*u + 114022*u = b + 17, 7 = b - 3*u for b.
-5
Solve -s = -5*y + 93, 0 = -110*y + 112*y - 38 for s.
2
Solve 2*d = -12*g + 15 - 251, -g + 4*d - 65 = -62 for g.
-19
Solve 2*z + 0*p = 12*p - 7*p - 48, 0 = z - 2*p + 22 for z.
-14
Solve 3*d + 32*k - 38*k - 42*k = 7*d - 32, -3*d - k - 46 = 0 for d.
-16
Solve 5*l - 125 = -5*o, -80 = -5*o - 162*l + 172*l for o.
22
Solve -3*q - 2*i + 6 = i, q + 14*i - 168 + 317 = 138 for q.
3
Solve 310 = -5*y + t + 314, 3*y - 4 = t for y.
0
Solve -5*b = -20*o + 40, -368*o + 41*b + 28 = -366*o + 39*b for o.
-2
Solve 55 = -3*n + 5*z, 99*z - 184*z = 2*n - 86*z + 39 for n.
-20
Solve -3*y + 7 = -8, -100*s - 6*y + 27 - 9 = -97*s - 9 for s.
-1
Solve -60435*v - 73 = -60431*v + 3*d, -v + d + 0 = -17 - 5 for v.
-1
Solve -8*w + 13 = -z, -217652*w - 9 = -5*z - 217649*w for z.
3
Solve -21*f = -25*f - 5*h + 72, -3*f + 54 = -h for f.
18
Solve -5*m = -25, -2*z - 11*m - 14*m + 36 + 50 = -7*m for z.
-2
Solve -36903*v = -36906*v + 2*t + 18, 12 = 2*v + 5*t for v.
6
Solve -4*p - h + 80 = 0, -3*p + 485 = h + 424 for p.
19
Solve 3*c + 787 - 716 = o + 3*c + c + 3*c, -209 = -11*c for o.
-5
Solve 13 = 6486646*b - 6486643*b + 5*n, 0 = b + n - 3 for b.
1
Solve 0 = 6*z + 18, 0 = 4*a - 63143*z + 63138*z + 11 + 6 for a.
-8
Solve -2*h - 3*h + 39968*p = 39971*p - 34, 0 + 72 = 4*p for h.
-4
Solve -18*i + 5*x - 46 = 0, -i + 0*i + x - 2*x = 0 for i.
-2
Solve -2*x = -24*f - 426, 4*f = 9963*x - 9961*x - 66 for x.
-3
Solve 247 - 499 = 2*q + 5*t - 235, q - 9 = t for q.
4
Solve -5*t - 5*u - 40 = 0, 5*u + 33166 = 8*t + 33191 for t.
-5
Solve -10*l + 53 = f - 47, 31*f = 29*f + 3*l + 85 for f.
50
Solve 689*y + 694*y = 3*z + 1378*y + 84, 4*z - 2*y = -28 for z.
2
Solve 0 = 5*x + n + 129, 0 = -4*x - 58*n - 311 - 21 for x.
-25
Solve -105 = -1566*j + 1561*j + 10*b, -3*j + b = -j - 15 for j.
3
Solve -14*k = -9*k - w + 40 + 3, 35 = 8*k + 33*w for k.
-8
Solve 20911*g - 2*r - 61 = 20908*g, 2*g = r + 42 for g.
23
Solve 11*i - 9*w = -236 + 511, -5*i + 3*w + 89 = 0 for i.
-2
Solve -3*c - 127 = -5*i, 60*c - 133*c - i = -75*c - 87 for c.
-44
Solve -5*q = 17*k + 8, 5*k - 31 + 6 = 3*q - 5 for q.
-5
Solve 0 = 8*z - 3*z - k - 55, 0 = -5*z - 13*k - k + 55 for z.
11
Solve 3*w + 8*i = -220, 434*w + 5*i + 269 = 465*w for w.
4
Solve -23*l - 2*w = 55 + 5, l - 5*w - 14 = 19 for l.
-2
Solve 0 = 4*c - m - 119, -22*c - 279 + 1101 = 28*m for c.
31
Solve -977 = -2*k - 9*l - 928, -3*l + 25 = 5*k for k.
2
Solve -w + 4*h = -76643 + 76657, -3*h + 5*h = -9*w + 26 for w.
2
Solve 0 = 20*q - 5*r - 50, -2*q + 1229*r - 2 = 1225*r for q.
3
Solve 134*h - 5*y - 26 = 127*h - 0 + 35, 0 = -5*h + y + 41 for h.
8
Solve -5*s + 5*a = -5*a - 123 + 403, -a = -5 for s.
-46
Solve 0 = n + 15, -2*l - 181421*n = -181425*n - 60 for l.
0
Solve -10*t + 15*t + 4*w - 44 = 5*t, -4*t - 4*w + 60 = 0 for t.
4
Solve 4 = -30505*b + 30500*b - t, -3*b = -t + 4 for b.
-1
Solve -3*l + 4*z - 22 = 0, 17*l - 33*l = -12*l - 5*z + 28 for l.
-2
Solve -4*s + 20 = -2*k - 22, 8*k + 0*k = s - 86 - 7 for k.
-11
Solve t + 5*q = -0*t - 45, -2*q + 1 = -3717*t + 3716*t - 9 for t.
-20
Solve -14*m = -7*q + 14, -2*m = 1013*q - 1017*q - 4 for q.
-2
Solve 3*k = 3*m + 111, 321803*m + 69*k + 2 = 321799*m for m.
-35
Solve -4*j - 3*m = 12 + 24, 6*j - 10*j + 4*m + 48 = j for j.
0
Solve 1300*s - 1295*s - 45 = 0, -3*w - 2*s = -5 + 3 - 7 for w.
-3
Solve c - 3*c = 4*k - 14, -231 = 6*c - 39*c - 5*k + 3*k for c.
7
Solve 0*z + 7*z + 28 = 6*y + 8*z, 43*y - 2*z - 164 = 0 for y.
4
Solve 2*w - 745 = -96*p + 313, 4*p - p - 4*w = 1 + 28 for p.
11
Solve -5*x = h + 32, x = 29 - 34 for h.
-7
Solve 126*u = -2*v + 122*u - 6, 2*u - 4398 = -490*v for v.
9
Solve -16*p = -3*p + 234, -1998*r + 5*p = -2001*r + 2*p - 54 for r.
0
Solve -4*q = 4*s - 8, 35*s + 7889*q - 7887*q = 30*s + 10 for s.
2
Solve 35*x + 5*v = 80, -4*x - 2*v + 1133029 = 1133007 for x.
1
Solve -19*c + 24 = 2*q - 12, c + 23*q + 21 = 0 for c.
2
Solve -2*h - 900 = -2*q - 808, 4*h - q - 80 = -3*q for h.
-2
Solve -27*x = 2*f - 27, 4*x - 323*f = -327*f + 4 for x.
1
Solve n = -34*y + 234, -252 = 5*n + 3*y - 253 for n.
-4
Solve 4*j - 1 - 153 = 10*b, -j = -0*b + 4*b + 72 for j.
-4
Solve -25*h - 310 = -30*h - 18*t + 11, 0 = -3*h + 14*t - 229 for h.
3
Solve 51 = 3*w - 4*y, 36702*w = 36706*w + 3*y + 32 for w.
1
Solve -2581*q + 2577*q - r = 22, 5*q - 8*r = 28 for q.
-4
Solve -2*s + 5180 = -4*g + 5160, 20 = -5*g + g - 4*s for g.
-5
Solve y = -i + 2, 5268*i - 5266*i - 598*y + 596*y = -4 for i.
0
Solve -21*r - 37*r + 4*w - 49 = -13*r, -16*r = -13*r + w + 2 for r.
-1
Solve 469*n - 5*j = 160*n + 148*n + 165*n + 33, -2*n - 3*j - 15 = 0 for n.
-12
Solve -601*d - 4*q - 180 = -605*d, 5*d = q + 229 for d.
46
Solve 4*q + 4*v - 6 - 2 = 0, -793*q + 5*v = -789*q + 37 for q.
-3
Solve 22 = 116*u - 111*u + 7*a + 82, 3*a + a = -20 for u.
-5
Solve 0 = -2802*k + 2770*k - j + 111 - 14, 4*j = 3*k - 5 for k.
3
Solve -7*y - 5*g - 44 = -0*g, 5*g - 140 = -2*y + 91 - 265 for y.
-2
Solve a + 11*a + 343 = 4*g + 211, 2*a - g = -32 for a.
-1
Solve 4*w + 4044*v - 4040*v + 6 = -10, 9*w = -4*v - 16 for w.
0
Solve 58 = -2*u - 2*l, -l - 29 = 225*u - 226*u for u.
0
Solve 0 = 3*b + 3*j + 21, -18*b + 23*b + 131*j + 62 = 123*j for b.
2
Solve -5*m - 264*d = 0, 3*m + 26664*d = 8*m + 26666*d for m.
0
Solve 0 = -5*p + 8*g - 55, 5*g = 3*p + 304 - 272 for p.
-19
Solve k + 4 = 120*z - 118*z, 3*k + 2*z - 28 = 0 for k.
6
Solve -r + v = -9, 2882*v + 59 = -35*r + 2883*v for r.
-2
Solve -4*r = 2*z + 8, 2*r - 4*z + 4 = 1 - 11 for r.
-3
Solve -2*g - 13*c + 17*c = -46, 9*g - 11*g + 46 = -21*c for g.
23
Solve 12*l - 83866 = -2*v - 83890, 4*v = l + 52 for l.
-4
Solve 5*j - 10*j - 104 = -3*j + 2, 0 = 2*o + 16
|
{
"pile_set_name": "DM Mathematics"
}
|
19
Calculate the remainder when 149 is divided by 59.
31
Calculate the remainder when 250 is divided by 15.
10
Calculate the remainder when 647 is divided by 72.
71
What is the remainder when 426 is divided by 54?
48
What is the remainder when 7477 is divided by 19?
10
Calculate the remainder when 2491 is divided by 58.
55
What is the remainder when 12856 is divided by 299?
298
What is the remainder when 129 is divided by 45?
39
What is the remainder when 883 is divided by 150?
133
Calculate the remainder when 260 is divided by 28.
8
Calculate the remainder when 597 is divided by 40.
37
What is the remainder when 493 is divided by 62?
59
Calculate the remainder when 45 is divided by 28.
17
Calculate the remainder when 963 is divided by 197.
175
What is the remainder when 783 is divided by 22?
13
What is the remainder when 534 is divided by 82?
42
Calculate the remainder when 2710 is divided by 63.
1
Calculate the remainder when 1240 is divided by 173.
29
Calculate the remainder when 31 is divided by 11.
9
What is the remainder when 7483 is divided by 20?
3
What is the remainder when 961 is divided by 190?
11
Calculate the remainder when 2373 is divided by 12.
9
Calculate the remainder when 1245 is divided by 30.
15
What is the remainder when 3958 is divided by 10?
8
Calculate the remainder when 247 is divided by 122.
3
What is the remainder when 770 is divided by 151?
15
What is the remainder when 757 is divided by 229?
70
Calculate the remainder when 107 is divided by 22.
19
Calculate the remainder when 61 is divided by 3.
1
Calculate the remainder when 237 is divided by 6.
3
Calculate the remainder when 160 is divided by 114.
46
What is the remainder when 723 is divided by 33?
30
What is the remainder when 603 is divided by 19?
14
Calculate the remainder when 664 is divided by 212.
28
What is the remainder when 759 is divided by 15?
9
What is the remainder when 3443 is divided by 42?
41
Calculate the remainder when 51 is divided by 7.
2
What is the remainder when 87 is divided by 26?
9
Calculate the remainder when 88 is divided by 6.
4
What is the remainder when 39 is divided by 21?
18
What is the remainder when 1436 is divided by 205?
1
What is the remainder when 419 is divided by 42?
41
What is the remainder when 510 is divided by 14?
6
Calculate the remainder when 87 is divided by 53.
34
What is the remainder when 11554 is divided by 7?
4
Calculate the remainder when 131 is divided by 9.
5
What is the remainder when 339 is divided by 63?
24
What is the remainder when 1368 is divided by 11?
4
Calculate the remainder when 47 is divided by 28.
19
Calculate the remainder when 3255 is divided by 74.
73
What is the remainder when 70 is divided by 19?
13
What is the remainder when 17807 is divided by 84?
83
What is the remainder when 175 is divided by 9?
4
Calculate the remainder when 45 is divided by 33.
12
Calculate the remainder when 333 is divided by 54.
9
What is the remainder when 94 is divided by 8?
6
Calculate the remainder when 936 is divided by 14.
12
Calculate the remainder when 2142 is divided by 65.
62
Calculate the remainder when 3357 is divided by 20.
17
What is the remainder when 94 is divided by 19?
18
Calculate the remainder when 1108 is divided by 37.
35
Calculate the remainder when 366 is divided by 104.
54
What is the remainder when 882 is divided by 134?
78
Calculate the remainder when 404 is divided by 24.
20
What is the remainder when 163 is divided by 153?
10
What is the remainder when 4487 is divided by 136?
135
What is the remainder when 326 is divided by 10?
6
Calculate the remainder when 249 is divided by 164.
85
Calculate the remainder when 160 is divided by 29.
15
What is the remainder when 20 is divided by 7?
6
Calculate the remainder when 110 is divided by 37.
36
Calculate the remainder when 4053 is divided by 24.
21
What is the remainder when 170 is divided by 23?
9
Calculate the remainder when 99 is divided by 37.
25
Calculate the remainder when 706 is divided by 182.
160
What is the remainder when 25507 is divided by 33?
31
What is the remainder when 239 is divided by 31?
22
What is the remainder when 376 is divided by 27?
25
Calculate the remainder when 51 is divided by 6.
3
What is the remainder when 1426 is divided by 34?
32
What is the remainder when 4639 is divided by 116?
115
Calculate the remainder when 1392 is divided by 345.
12
What is the remainder when 124 is divided by 29?
8
What is the remainder when 1258 is divided by 28?
26
Calculate the remainder when 1143 is divided by 44.
43
What is the remainder when 7716 is divided by 2566?
18
Calculate the remainder when 3281 is divided by 1633.
15
What is the remainder when 490 is divided by 72?
58
What is the remainder when 21059 is divided by 135?
134
What is the remainder when 252 is divided by 237?
15
What is the remainder when 30 is divided by 18?
12
What is the remainder when 22110 is divided by 27?
24
What is the remainder when 205 is divided by 42?
37
What is the remainder when 129 is divided by 63?
3
What is the remainder when 115 is divided by 33?
16
What is the remainder when 20785 is divided by 14?
9
What is the remainder when 1697 is divided by 10?
7
What is the remainder when 1360 is divided by 95?
30
Calculate the remainder when 11428 is divided by 71.
68
Calculate the remainder when 559 is divided by 140.
139
What is the remainder when 269 is divided by 32?
13
Calculate the remainder when 5651 is divided by 27.
8
Calculate the remainder when 190 is divided by 90.
10
What is the remainder when 38 is divided by 6?
2
Calculate the remainder when 96 is divided by 10.
6
What is the remainder when 188 is divided by 24?
20
What is the remainder when 116 is divided by 27?
8
What is the remainder when 1027 is divided by 49?
47
Calculate the remainder when 89 is divided by 37.
15
Calculate the remainder when 333 is divided by 127.
79
What is the remainder when 57 is divided by 36?
21
Calculate the remainder when 63 is divided by 25.
13
What is the remainder when 113 is divided by 19?
18
What is the remainder when 23 is divided by 9?
5
Calculate the remainder when 250 is divided by 32.
26
What is the remainder when 161 is divided by 28?
21
What is the remainder when 190 is divided by 39?
34
What is the remainder when 366 is divided by 74?
70
Calculate the remainder when 1048 is divided by 120.
88
Calculate the remainder when 11809 is divided by 28.
21
What is the remainder when 185 is divided by 106?
79
What is the remainder when 81 is divided by 23?
12
What is the remainder when 972 is divided by 51?
3
What is the remainder when 62 is divided by 39?
23
Calculate the remainder when 9 is divided by 2.
1
What is the remainder when 1605 is divided by 321?
0
Calculate the remainder when 510 is divided by 75.
60
Calculate the remainder when 46 is divided by 19.
8
What is the remainder when 193 is divided by 68?
57
What is the remainder when 603 is divided by 122?
115
What is the remainder when 319 is divided by 44?
11
What is the remainder when 2437 is divided by 174?
1
Calculate the remainder when 631 is divided by 56.
15
Calculate the remainder when 1322 is divided by 51.
47
Calculate the remainder when 440 is divided by 63.
62
What is the remainder when 130 is divided by 21?
4
Calculate the remainder when 3135 is divided by 319.
264
Calculate the remainder when 895 is divided by 297.
4
What is the remainder when 319 is divided by 93?
40
What is the remainder when 13085 is divided by 1869?
2
What is the remainder when 662 is divided by 33?
2
What is the remainder when 261 is divided by 88?
85
Calculate the remainder when 1992 is divided by 29.
20
What is the remainder when 301 is divided by 17?
12
Calculate the remainder when 927 is divided by 16.
15
What is the remainder when 122 is divided by 65?
57
Calculate the remainder when 307 is divided by 18.
1
Calculate the remainder when 1053 is divided by 22.
19
Calculate the remainder when 12 is divided by 10.
2
What is the remainder when 186 is divided by 54?
24
What is the remainder when 1997 is divided by 398?
7
What is the remainder when 250 is divided by 239?
11
What is the remainder when 1258 is divided by 63?
61
Calculate the remainder when 126 is divided by 9.
0
Calculate the remainder when 563
|
{
"pile_set_name": "DM Mathematics"
}
|
er?
False
Is 8066541001 a prime number?
True
Is 15059464881 a composite number?
True
Is 1047517789 a prime number?
False
Is 184777687 composite?
False
Is 8222124661 a prime number?
False
Is 127406217823 prime?
True
Is 190962007 prime?
False
Is 140329672181 a composite number?
True
Is 749691406457 a composite number?
True
Is 5140687033 prime?
True
Is 3775466659 a composite number?
True
Is 55147994417 prime?
True
Is 32968996169 composite?
True
Is 2132750987 prime?
True
Is 122106951049 a composite number?
False
Is 111400559 composite?
True
Is 10959689369 prime?
True
Is 11078058187 prime?
False
Is 1742849179 prime?
True
Is 144814127 prime?
True
Is 30364171381 a prime number?
False
Is 3134878363 composite?
True
Is 84913561 a prime number?
True
Is 501303109 composite?
False
Is 260316163 a composite number?
True
Is 18227456413 a composite number?
False
Is 6241051097 a composite number?
True
Is 744767711 a composite number?
False
Is 1927919527 prime?
False
Is 38688573082 composite?
True
Is 8175965891 prime?
True
Is 5837185531 composite?
True
Is 21189364421 a composite number?
True
Is 28407063631 composite?
True
Is 987108611 a composite number?
False
Is 1301030579 a prime number?
False
Is 1531861963 a composite number?
False
Is 29179224671 a prime number?
True
Is 3033524873 prime?
True
Is 565204411 prime?
True
Is 1650729277 a composite number?
True
Is 4910625989 prime?
True
Is 310491157 composite?
False
Is 9801374381 a composite number?
True
Is 11000257789 prime?
True
Is 1327877687 prime?
False
Is 942893621 a prime number?
False
Is 243748649 prime?
False
Is 15128867167 prime?
True
Is 2684533441 composite?
False
Is 82808203 prime?
True
Is 239648537 a prime number?
False
Is 4032228301 a prime number?
True
Is 26004726091 prime?
False
Is 159872149903 composite?
False
Is 69889628159 a prime number?
False
Is 3898526771 a prime number?
True
Is 945923411 composite?
False
Is 57010903582 prime?
False
Is 36796841459 composite?
True
Is 1385771927 a composite number?
True
Is 12675046469 composite?
False
Is 6274497323 a composite number?
False
Is 11162293297 a prime number?
False
Is 648982907 a prime number?
True
Is 4299972373 a composite number?
False
Is 483070789 composite?
True
Is 30177097573 a composite number?
True
Is 2987496893 a composite number?
True
Is 473702249 composite?
True
Is 305069987 a composite number?
True
Is 9189182279 prime?
True
Is 6025252229 composite?
False
Is 127448777 composite?
False
Is 1637182097 a prime number?
True
Is 4162316549 a prime number?
True
Is 87221621129 a prime number?
True
Is 1050632263 a composite number?
True
Is 21050953189 prime?
False
Is 7065339353 a prime number?
True
Is 28014796843 composite?
True
Is 1206514213 a composite number?
False
Is 56398037 a composite number?
False
Is 12612157229 composite?
True
Is 8500959703 a composite number?
False
Is 4650970717 a composite number?
False
Is 2802468257 a prime number?
True
Is 3710662871 composite?
True
Is 98685789269 prime?
False
Is 3630161851 prime?
True
Is 3593948443 prime?
False
Is 1829091298 a prime number?
False
Is 546830423 prime?
False
Is 1414751698 composite?
True
Is 1470454163 a prime number?
True
Is 5889406723 prime?
True
Is 49358827165 a composite number?
True
Is 113833451 a prime number?
False
Is 56071282693 a prime number?
True
Is 221098289 a prime number?
True
Is 22965131171 a composite number?
False
Is 29926187407 prime?
True
Is 2836468541 prime?
True
Is 5941827713 a composite number?
True
Is 458425289 a composite number?
True
Is 24939183917 a composite number?
False
Is 108415681321 a prime number?
True
Is 3570614831 prime?
False
Is 21325995923 a prime number?
True
Is 5055503087 prime?
False
Is 39375108853 a composite number?
True
Is 951783197 a composite number?
True
Is 1172834477 composite?
True
Is 1308899447 composite?
False
Is 79183813 a composite number?
True
Is 9716949797 a composite number?
False
Is 14179687801 prime?
False
Is 730663433 composite?
True
Is 138845498611 a prime number?
False
Is 123235939 composite?
False
Is 1285996421 prime?
True
Is 15136285961 a prime number?
True
Is 996197991 a composite number?
True
Is 309216073 prime?
True
Is 6569200717 composite?
True
Is 127583165 a prime number?
False
Is 3424504357 composite?
True
Is 7471108189 a prime number?
True
Is 16598847751 a prime number?
True
Is 15841549271 prime?
True
Is 233661533 a prime number?
False
Is 31480019 a composite number?
False
Is 3587240803 composite?
True
Is 54515182093 a composite number?
False
Is 8248004627 a composite number?
False
Is 3049245673 composite?
False
Is 321384641 a prime number?
False
Is 153691655749 a prime number?
True
Is 57801899089 composite?
True
Is 1142513381 a composite number?
True
Is 3402082529 a composite number?
True
Is 69697669483 a composite number?
True
Is 253942141 prime?
False
Is 39753001723 a prime number?
True
Is 1126473013 a prime number?
False
Is 339058637 a prime number?
True
Is 9840071561 a prime number?
False
Is 975177553 a prime number?
False
Is 36495620237 prime?
False
Is 12195014203 composite?
False
Is 19746296785 prime?
False
Is 90206741 a prime number?
True
Is 62948983 composite?
True
Is 319603481 prime?
True
Is 11564038711 a prime number?
True
Is 3088242361 a composite number?
True
Is 36021229207 composite?
False
Is 12040800977 a prime number?
True
Is 37799427493 prime?
True
Is 7815427447 prime?
True
Is 5236177511 composite?
True
Is 26789636381 a prime number?
False
Is 4727898199 prime?
True
Is 36476564911 composite?
False
Is 770656441 composite?
False
Is 68338027 prime?
False
Is 47149759991 composite?
False
Is 574974079 a prime number?
False
Is 3983010643 a composite number?
True
Is 1148248177 a prime number?
False
Is 121476382439 a composite number?
True
Is 133869727 a composite number?
True
Is 2670084331 composite?
True
Is 1432766717 a prime number?
False
Is 13200413131 a composite number?
False
Is 732900407 prime?
False
Is 4949337201 prime?
False
Is 9527762411 a composite number?
False
Is 3433759313 a composite number?
True
Is 2830983139 prime?
True
Is 12888567553 composite?
False
Is 2552296541 composite?
False
Is 169453531 a composite number?
True
Is 5043700789 a composite number?
True
Is 393387209 composite?
True
Is 25177409 prime?
True
Is 51465995227 a composite number?
True
Is 13954954523 a composite number?
False
Is 15343590071 prime?
True
Is 26550405967 a composite number?
False
Is 547115077 composite?
True
Is 422055391 a prime number?
True
Is 95139051151 a prime number?
True
Is 29737561277 a composite number?
False
Is 895902889 a prime number?
False
Is 16650419713 prime?
False
Is 6686337719 prime?
False
Is 30603678439 a prime number?
True
Is 3130654553 a prime number?
False
Is 1251664391 a prime number?
True
Is 7088898473 a prime number?
True
Is 4395804913 composite?
False
Is 14514452321 prime?
False
Is 1568064811 composite?
False
Is 320365991 composite?
True
Is 1163485097 prime?
False
Is 176311171 a composite number?
True
Is 13340432191 a prime number?
True
Is 10060067573 prime?
True
Is 932089127 a composite number?
True
Is 129697979 prime?
True
Is 1700891447 prime?
True
Is 2810146351 a composite number?
False
Is 69280771181 a prime number?
False
Is 29457110069 a prime number?
False
Is 1133025653 prime?
False
Is 10532712649 composite?
True
Is 351013219 a composite number?
True
Is 48996898217 composite?
False
Is 229190783 prime?
True
Is 2167847719 a composite number?
False
Is 38611255327 prime?
False
Is 341270528257 a composite number?
False
Is 514756453 composite?
False
Is 1721254891 a composite number?
False
Is 60855920747 prime?
False
Is 19894231937 a prime number?
True
Is 341009971 a composite number?
True
Is 7784663 a prime number?
False
Is 15346003769 a prime number?
True
Is 52462528663 composite?
True
Is 7807985639 composite?
True
Is 54615437 composite?
True
Is 81196202459 a composite number?
True
Is 10207495253 prime?
False
Is 906136043 composite?
False
Is 111088659473 composite?
True
Is 541128587 a composite number?
False
Is 7656299566 prime?
False
Is 733783751 a prime number?
True
Is 921813703 a composite number?
False
Is 169006997 prime?
True
Is 201697957 a prime number?
True
Is 2591320703 a prime number?
True
Is 1765221473 composite?
True
Is 34360856273 a prime number?
True
Is 803091163 composite?
True
Is 1
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2*r - 1. Let d be -4*(2 + (-10)/4). Suppose -d*t = -5*t + 3. Let l be i(t). Solve -o - 12 = l*o for o.
-3
Suppose -3*n + 8*n = -5. Let r = 0 + n. Let c be (1 + r + 0)/1. Solve 0 = -5*l - c*l - 20 for l.
-4
Let q(f) = -8*f + 116. Let b be q(13). Solve 2*z = 5*z + b for z.
-4
Let a be 4 + (4 + -7 - -4). Solve 10 + 15 = a*l for l.
5
Let v = 11 + -5. Suppose 5*w - 4*m - 514 = 0, -2*m - 302 = -3*w + 2*m. Let u be w/v + (-1)/(-3). Solve -3 = -3*k - u for k.
-5
Suppose -a + 2*a = 10. Let p be (0/(-1))/(-9 + a). Solve p = 5*j + 7 + 3 for j.
-2
Let f(g) = -g**3 + 4*g**2 - 2*g + 1. Suppose -w + 3*k = -9, -3*w = -0*w - 2*k - 13. Let r be f(w). Solve 5*p = 3*p + r for p.
2
Suppose 0 = n + 2*n - 15. Let g = 0 + n. Let s = -3 + g. Solve -s = a + a for a.
-1
Let n = 2 + -2. Let s be -2 + (-4 - -3)*-3. Let t be (-3 + 2)*-1*s. Solve -p + 2 + t = n for p.
3
Let v be ((-8)/24)/(2/(-24)). Suppose 2*f - q - 17 = -v*q, -4*q - 8 = -5*f. Solve -3 = -7*x + f*x for x.
1
Let f(z) = -z**3 + 7*z**2 + 11*z - 9. Let o be f(8). Solve -o = -3*w + 6*w for w.
-5
Suppose 5*x + 2*o = 39, -4*x + 2*o = -3*o - 51. Let f be (12/4 - 6) + x. Solve -2*k + 0 - f = 0 for k.
-3
Suppose -2*l - 3*l + 4*z + 68 = 0, -3*l + 32 = 2*z. Suppose -3*h = -7 + 1. Suppose -4*k - 5*v + 24 = -2*k, -h*k + 4*v - l = 0. Solve -k*t + 9 = t for t.
3
Let i(n) = -n**2 + 6*n. Let g be i(6). Suppose 4*r - 16 = 0, 0 = -g*x + x + 2*r - 10. Let c = x + -2. Solve 2*m + c*m + 6 = 0 for m.
-3
Let l(j) = -j - 3*j + 3*j. Let h be l(0). Suppose -v - 10 = -3*v. Solve -v*k - 15 + 5 = h for k.
-2
Let s(u) = 3*u - 6. Let w be s(4). Solve -4*b = w + 6 for b.
-3
Let v = -5 + 8. Solve 4*o = 13 + v for o.
4
Let t(f) = -8*f - 2. Suppose -5 + 1 = -2*u. Let j be t(u). Let x be (-3)/(3 + j/4). Solve -2*w = x*w for w.
0
Let t(m) = m**2 - 4*m - 1. Let q be t(5). Solve -d = -q*d for d.
0
Let t(p) = -p**3 + 7*p**2 + 9*p - 10. Suppose -5*j + 17 = -w, 5*w - 2*j - 55 = -5*j. Let f be t(w). Let k = 2 + f. Solve k = d - 4*d + 12 for d.
4
Suppose 0*x = 2*x - q - 12, 3*x + 8 = -5*q. Let f = -4 + x. Solve 20 = -5*m - f*m for m.
-4
Let x = -17 - -37. Suppose -3*i - 13 = -0*n - n, 0 = 2*n - 4*i - x. Solve -1 + n = 3*o for o.
1
Let g be 0/(-5 - -1 - -3). Solve 0 = -g*t - t for t.
0
Let f(c) = -c**2 - 2*c + 1. Let i be (-10)/60 - (-11)/(-6). Let h be f(i). Solve 3 - h = -2*g for g.
-1
Let b = 5 + 1. Suppose -4*k + 12 = c + 3*c, 0 = -2*c + b. Solve k = 3*z - 6 - 3 for z.
3
Let d = 1 + 5. Suppose 2*r - 8 = -d. Suppose 0 = -u - 3*u + 20. Solve r = u*g + 6 for g.
-1
Let v(x) = x**2 + 3. Let b be v(0). Let s(j) = -j**3 - 16*j**2 - 28*j + 4. Let f be s(-14). Let g be 0*(2 + -1)*-1. Solve f*h + b + 1 = g for h.
-1
Let n(i) = i**3 - 15*i**2 + 14*i + 6. Let a be n(14). Suppose 10 = 2*f + 3*f. Solve -a = -k - f for k.
4
Let r be 7/(21/2)*15/10. Solve -5*g - r = -6 for g.
1
Let o be 0 - -2 - (1 - 1). Let d be 6/1 - (-4)/(-2). Suppose -14 = i - d*t, i = 2*i + 3*t - 21. Solve 4*s = o*s - i for s.
-3
Suppose h - 2 = -3*s, -s - 2*h - 6 = -0*h. Solve s*n - 3 = -n for n.
1
Let v be 4/2 + -2 + 2. Suppose -5*h = -v*u, -2*u - 2*h = 2*h. Suppose u*t - 6 = -3*t. Solve k - t*k = 4 for k.
-4
Suppose 4 = -5*u - 11. Let j be (-1)/(-3) + (-8)/u. Suppose -2*t - 16 = -j*t. Solve 4*c + 4 = t for c.
3
Let l(k) = -k + 27. Let m be l(25). Solve 9 = m*f + 1 for f.
4
Let n(g) = -2*g**3 - 2*g**2 + 2*g + 1. Let q be n(-2). Let y = -3 - -21. Solve y = -q*r + 43 for r.
5
Let f be 0/3 - 4/(-8)*6. Solve -3*d + 2*d - f = 0 for d.
-3
Let x = 5 - 3. Suppose -2*l + 36 = x*g, 5*l + 2*g - 78 = g. Solve 4*f - l = -f for f.
3
Suppose 7*v = 2*v. Solve v*l + 3*l + 12 = 0 for l.
-4
Suppose -74*r + 8 = -70*r. Solve 2*x - r = 2 for x.
2
Suppose -w = 1 - 17. Suppose -6 = -2*z - 4*r, -2*r + 7 = z - r. Let u = w - z. Solve -3*l + 4 = -u*l for l.
-2
Let p(x) = -x**3 - 3*x**2 - 2*x - 3. Let l be p(-3). Solve l*j - 13 = 2 for j.
5
Let n(t) = 5*t**3 - 2*t**2 + 1. Let d be n(1). Suppose -5*f - d*r + 20 = -8*f, 0 = -4*f - 2*r - 56. Let v = -9 - f. Solve k + 8 = -v*k for k.
-2
Let s = -4 - -3. Let k = 5 - s. Suppose -2*a = 2*b - 16, -k*a = b - 2*a - 20. Solve -b*m + m = 9 for m.
-3
Suppose -9 = s - 4*s. Suppose 3*m - 25 = -g - 9, 0 = s*m - 5*g + 8. Solve 3*l = m*l - 1 for l.
1
Let g(f) = -f - 1. Let q(p) = 8*p**3 + p**2. Let z be q(-1). Let l be g(z). Solve -2*u = -l*u - 4 for u.
-1
Suppose -5*x + 3*g + 16 = 0, -1 - 3 = 2*x + 4*g. Let i(u) = 3*u - u**3 + 8 - 7*u**x - 2*u - 6*u. Let o be i(-6). Solve -3*m + 10 = o*m for m.
2
Suppose 25 = 8*w - 3*w. Suppose 0 = 2*p - w*p + 12. Solve p*x = -0*x for x.
0
Suppose 0 = -2*a + 5*a - 27. Solve -3*s = a + 3 for s.
-4
Suppose 4*o + 7 = b, -2*o = 5*b - 41 - 16. Suppose -16 = -3*a + 53. Suppose 2*t + 2*u + 9 = a, 5*u = t + 5. Solve t = 3*p + b for p.
-2
Suppose -21*v + 103 = 19. Let l be 1 + -1 - 12*-1. Solve -v*x = -x - l for x.
4
Let y(g) = g**2 - 3*g - 2. Let n be y(3). Suppose 2*x - 5 = 1. Let i be x + (3 - 5 - n). Solve -i*w = 2*w for w.
0
Let r be (-1)/(1 - 4/3). Suppose 0 = -2*o - r*o + 10. Suppose -4*w + o*w + 12 = 0. Solve -4 = -2*s - w for s.
-1
Let g(c) = c**3 + 12*c**2 - c - 7. Let u be g(-12). Solve -3*p = 4 + u for p.
-3
Let q(k) = -k**3 - k**2 - k + 7. Let b be q(0). Suppose 0 = -5*p - 4*r - 2, -b = -5*p + 5*r - 6*r. Solve -p*z - 2*z = 12 for z.
-3
Suppose -3*l = -4*j - 32, j - 4 = -l - j. Solve 4*v - 2*v = l for v.
4
Let f be 0/((5 - (4 - 0))*-1). Solve o - 3 = -f*o for o.
3
Suppose 2*u - 20 = -3*u. Solve u*y = -0*y for y.
0
Let r = -5 - -4. Let f be (0/r - 2) + 7. Suppose 0*t - 6 = -3*t. Solve t*i = i + f for i.
5
Suppose -6*h = -h - 25. Suppose -2*y + 6 = h*w, 2*y = -3*y - 2*w + 15. Solve x + 2*x = -y for x.
-1
Suppose -16 = -5*p - 0*j - 2*j, -2*j - 4 = -5*p. Suppose 0*o = p*o - 12. Solve -o + 0 = 3*z for z.
-2
Suppose 27 = w + 2*w. Solve -4*h + w*h = -10 for h.
-2
Let b = 8 + -5. Suppose b*y + 9 = 4*y. Solve -a = 2*a - y for a.
3
Suppose 0*g = 2*p - 2*g - 20, 0 = -3*p - 4*g - 5. Solve p = -2*d + 1 for d.
-2
Suppose 5*m + 26 = 5*k + 6, 0 = k + 4*m - 4. Solve -4 - 8 = k*n for n.
-3
Let y(i) = -3*i - 1 + 9*i + 7. Let g be y(5). Suppose -3*u + g = -4*q, -4*u = -0*u - q - 35. Solve -3*f - u - 1 = 0 for f.
-3
Suppose -4*h + 15 = -3*a - 4, 4*h - 5*a = 21. Suppose h*z + z - 40 = 0. Let r be z/6 + (-8)/(-12). Solve -u + r*u = -3 for u.
-3
Suppose 0*c = 4*c. Let i(k) = -k + 1. Let d be i(c). Let l be 0 - -4 - (1 + 1). Solve -l*j - 1 = d for j.
-1
Let r(g) be the third derivative of 0*g + 2*g**2 + 1/6*g**3 + 0 + 1/24*g**4. Let h be r(-1). Solve -4*y + 0*y - 16 = h for y.
-4
Suppose 19*f - 22*f = 0. Solve 5*y + 2 - 7 = f for y.
1
Suppose -23 = 4*i - 7, 0 = m - 5*i - 19. Let u = m - -4. Solve 0*t = -u*t + 9 for t.
3
Suppose -15*l = -401 - 169. Solve 14 - l = -6*f for f.
4
Suppose 0 = 4*o - 8*o + 24. Solve o = -d - d for d.
-3
Let k be (-2 - (2 - 10))/2. Suppose 2*q = -k*q. Suppose -2*w = -q*w. Solve 4*v = -w*v + 12 for v.
3
Let s be 102/24 - (-2 + 27/12). Solve 6 = -s*f - 2 for f.
-2
Let x = 17 + -16. Solve 11 + x = 4*h for h.
3
Let c(q) = -q**3 - q**2 + 6*q + 2. Let r be c(2). Solve a - r = 1 for a.
3
Let v(k) = k + 4. Let g be v(-2). Suppose -4*f = -g*f - 6. Let i(s) = -7*s - 7. Let t be i(-2). Solve -5*h - t - f = 0 for h.
-2
Let b(t) = -10 - t**2 + 2*t**2 - 4*t + 0*t**2. Let o be b(8). Suppose -2*x + 0*x = -o. Solve -1 + x = 2*d for d.
5
Let j be (-15)/(-5) + -1 + 1. Suppose -2 = w - 2*n + n, -8 = w - 4*n. Suppose -5*v + 0*v = w. Solve 3*q + v*q = -j for q.
-1
Let t = -71 - -79. Solve 0 = -3*d - d + t for d.
2
Suppose 12 = -3*c, -3*c + 0 + 3 = 5*m. Suppose 3*x - 31 = 32. Suppose -m*l - 22 = -7, -3*u + 3*l + x = 0. Solve 0 = -u*p + 5*p for p.
0
Suppose f + 9 = 4*f. Solve f*o - o - 2 = 0 for o.
1
Suppose k = 4*r, -2*k - r = 3*r. Solve 0 = -k*p + 3*p for p.
0
Let s(u) = -3*u**2 - 3*u**3 + 5 - u**3 + 3*u**3 + 6*u. Let g be s(-5). Solve 2*o + g = 7*o for o.
5
Let q be (6/5)/(-2 + 48/20). Solve -o - q = 2 for o.
-5
Let l(p) = p**2 + 6*p - 1. Let y be l(-6). Let d be (1 + y/2)*4. Let c = d + 0. Solve i + c = -i for i.
-1
Let a = -43 + 39. Let w be 1/1 + 0/4. Let h be 2/((-6)/a - w). Solve -h = n + n for n.
-2
Let r be ((-15)/(-3))/((-5)/(-6)). Let j be (8/(-10))/(r/(-15)). Solve 2*k + j = -6 for k.
-4
Suppose -4*g + f + f = -246, 0 = -5*g - 5*f + 285. Suppose i +
|
{
"pile_set_name": "DM Mathematics"
}
|
Put together 40.658 and -0.01.
40.648
What is 63 take away 1723?
-1660
Add together -1.4 and 100.
98.6
What is the distance between -945 and 52?
997
Subtract -61 from -0.071.
60.929
-0.024 + 149.2
149.176
Work out 28394 - 0.2.
28393.8
What is 97 take away -3407?
3504
Sum -0.0942 and 9.
8.9058
What is 0.7396 less than 5?
4.2604
Put together 19 and 599.87.
618.87
-980 + -2
-982
What is -6858 less than 185?
7043
Calculate 681111 + 0.
681111
What is the difference between 11 and 26.8?
15.8
What is 1337393 + -3?
1337390
What is -14548742 plus -1?
-14548743
Calculate -61 - 352.
-413
Subtract 0.054 from -3023.
-3023.054
-0.4 - 0.37624
-0.77624
What is the difference between 140.4 and 3.69?
136.71
Work out 0 + 203.
203
Sum 95 and -13.
82
What is 3.76 less than 0.5?
-3.26
What is 0.050784 minus 7?
-6.949216
Calculate -1 + 0.6096.
-0.3904
Sum 1.4 and 168.8.
170.2
Work out 0.9 + 6912.
6912.9
Put together 46.76 and -3.
43.76
What is -5 minus -1.49?
-3.51
Total of -292 and 0.0532.
-291.9468
What is -22 take away 26?
-48
What is the difference between -0.1174 and -897?
896.8826
What is the distance between -7.6 and -0.0022?
7.5978
What is -12773 - -63?
-12710
What is the difference between 329 and 16?
313
Work out -0.037074 - -5.
4.962926
Subtract 0 from -18847.4.
-18847.4
Add together -0.3 and 0.112.
-0.188
Work out 27629 + 10.
27639
What is the difference between -0.02 and 0.088247?
0.108247
Add together -7 and -4719.
-4726
Total of 1073 and -2.
1071
What is 362 + -0.1389?
361.8611
-1.8 - 6
-7.8
Sum 72 and 344.
416
45 + 5
50
Total of 835 and -5094.
-4259
What is -0.4 + 3.57?
3.17
What is 0.223 less than 0.04?
-0.183
Sum -9.4909 and -3.
-12.4909
Add together 48.5 and 60.1.
108.6
Subtract -825 from -6.
819
What is -1529 plus 0.33?
-1528.67
Add -257.7508 and 0.
-257.7508
Sum 16140 and 0.2.
16140.2
What is -1012795 plus 0?
-1012795
Work out -128171 + 2.
-128169
What is -4 take away 0.6455?
-4.6455
20418.2+-0.4
20417.8
What is the distance between 0 and 1813.7?
1813.7
Work out -24.44 - 58.
-82.44
What is 34.548 less than 0.15?
-34.398
Work out 0.58 - -11.8991.
12.4791
Add together 21343 and 5.
21348
Sum -10.2 and 208.
197.8
Subtract 487 from -1.045.
-488.045
Add -3185075 and 0.5.
-3185074.5
What is the distance between 0.044573 and 0.3?
0.255427
What is 0.152 plus 0.01?
0.162
Put together -0.6 and 63.23.
62.63
Add 662 and -1.
661
Add together -478 and 3.
-475
1.4+6319
6320.4
What is 29.9 less than 22?
-7.9
Subtract 0.02 from -5401.
-5401.02
Work out 55 - -0.0387.
55.0387
What is 323 + 15885?
16208
Add together 9648 and 0.
9648
What is the distance between 0.46 and -625?
625.46
What is -1.27 take away 260?
-261.27
181 - 16
165
What is -13 minus 280230?
-280243
Total of 802 and -5.
797
What is -1287 less than 39?
1326
Total of 83829 and -0.5.
83828.5
What is 0.022 minus -30.37?
30.392
Add together -3 and 0.0512173.
-2.9487827
What is 7 take away -18754?
18761
Calculate -95 + -89180.
-89275
What is 25341 less than -0.1?
-25341.1
What is 1 take away 93599?
-93598
Calculate -337486 - 1.
-337487
What is 0.4 less than 18217?
18216.6
What is 2365.6 plus 0.2?
2365.8
What is 467 + -33?
434
Add together 21654 and -0.2.
21653.8
-20.19 - -4
-16.19
What is 13 + 0.04874?
13.04874
Work out -0.3 - 187.
-187.3
Work out -2.1 - -1080.4.
1078.3
What is 29228 plus 4?
29232
-125.5 + -75
-200.5
-2032654 - -0.1
-2032653.9
Subtract 9562 from 0.041.
-9561.959
-6060 + -1
-6061
Put together 0 and 42.
42
Subtract -1976 from -0.4.
1975.6
Total of 0.5601 and 0.5.
1.0601
2366 - 0.18
2365.82
Work out 6 + -237164.
-237158
What is 156 less than -0.03?
-156.03
Total of 0.6 and -99.8.
-99.2
What is 0.2 + 7.306?
7.506
-30638 + 3
-30635
Total of 0.162 and -0.0758.
0.0862
Sum 2 and 10087.
10089
Put together -1387212 and -5.
-1387217
What is -170.9 take away 0?
-170.9
Add 0 and -31546.
-31546
What is -2 less than -526?
-524
Work out -3.9 + -44.
-47.9
Work out 14.8 + 0.01.
14.81
What is -0.07 + -24681?
-24681.07
What is 3 plus -772249?
-772246
Calculate -5 - 32.223.
-37.223
Add together 244.2 and -5.
239.2
Add together 33.11 and 12.
45.11
-0.5 - 0.0062
-0.5062
Calculate -2712419 - 0.
-2712419
What is -13.5 plus 90762?
90748.5
Total of -389046 and 0.
-389046
Add -1407 and -0.103.
-1407.103
What is the distance between -6.537 and 0.1?
6.637
What is the difference between -3 and 51381?
51384
0.045 - -13
13.045
Put together -0.024 and -503.
-503.024
What is 3 less than 8848491?
8848488
Calculate 0.8 - -25154.
25154.8
Calculate 0.038025 - 5.
-4.961975
Total of 22941 and -4.
22937
What is the difference between -0.4 and -814.7?
814.3
Calculate 1 - 0.2101.
0.7899
What is -0.03 + -329?
-329.03
-0.00208 + 303
302.99792
Add -53927 and 10.
-53917
What is -1 + -161878?
-161879
Add together -4121 and 42.
-4079
-124 - -8.85
-115.15
Subtract 35473 from -38.
-35511
Calculate 0.18 + 0.279.
0.459
Work out -5 - -10757.8.
10752.8
Put together 60 and -63852.
-63792
Put together -385.1 and 0.3.
-384.8
What is the difference between 27 and -8.83?
35.83
What is -0.21 - -0.21?
0
What is the difference between -23.3 and -0.0092?
23.2908
What is 0.3 minus -428.3?
428.6
0.0449 + 0.38
0.4249
0 - 359
-359
What is the distance between 47 and 0.0504?
46.9496
What is -0.4 minus 1.448?
-1.848
Calculate -0.04311 - -0.07.
0.02689
Subtract -3.4 from -280.
-276.6
-603+-783
-1386
0.4+-11.719
-11.319
Total of -115 and -0.4.
-115.4
Add 2898 and 0.05.
2898.05
What is -127 - -1714?
1587
Total of 0.34 and 8.655.
8.995
Subtract 0.4 from 1.293791.
0.893791
Work out -11.2 - 51055.
-51066.2
Calculate 5.5 + 5138.
5143.5
Work out 5 - -9.61.
14.61
Work out 0.4 + -94.
-93.6
Total of 0.17 and -20104.
-20103.83
What is 86 + -1067?
-981
Calculate 0.3429 - 4.
-3.6571
Put together 5 and -828.3.
-823.3
Total of -571 and 4.
-567
What is -5867692 plus 4?
-5867688
-0.07 + 64.81
64.74
Work out -11.239 - -15.
3.761
Total of -1121 and 0.1.
-1120.9
What is -14.09 minus 2?
-16.09
Calculate 0.3 - -1.078.
1.378
Calculate 0 + 137.
137
0.0813438+5
5.0813438
What is the difference between -4 and 10280.5?
10284.5
What is 12153.35 minus 2?
12151.35
What is -0.02398 - 0.039?
-0.06298
Calculate 4.1116 - 0.21.
3.9016
Calculate 12.09 - 7.84.
4.25
3.77 + 0
3.77
0.1 - -77
77.1
Sum 0.2 and -15.76.
-15.56
Put together -1 and -0.0241205.
-1.0241205
What is 109 less than 0.3?
-108.7
What is the distance between -1.06 and -227?
225.94
-52.8667 - -0.5
-52.3667
What is 0.291 plus 0.074?
0.365
What is -0.034 take away 201?
-201.034
What is 22 + -1.16358?
20.83642
Total of -1894.92 and -0.4.
-1895.32
What is 2266.05 less than -0.1?
-2266.15
Subtract -0.5 from 3104.759.
3105.259
Add together -24735 and 0.
-24735
Work out -0.9433 + -3.
-3.9433
What is -496.45 take away -3?
-493.45
Add 0.4 and 4.734.
5.134
What is 2938 minus -37?
2975
What is the difference between 6 and -47172.3?
47178.3
Work out -34 - 164.
-198
Total of -6572 and 0.0815.
-6571.9185
Work out -0.2 - -104.5.
104.3
What is 0.0547 less than -4.05?
-4.1047
Calculate -170 + -17.
-187
Subtract -0.6 from -7.53961.
-6.93961
Calculate 0.13 + -42.47.
-42.34
Calculate -5179 + -5.
-5184
-67 + -190
-257
Subtract 864 from 6.
-858
What is -5 less than -1053.46?
-1048.46
What is 181.5 take away 25.4?
156.1
Calculate 1 - 144.2.
-143.2
Add -96.5 and -9.62.
-106.12
Sum 58625.7 and -0.4.
58625.3
Add together -39.55 and 0.3.
-39.25
Calculate -141.938 - 0.5.
-142.438
Put together 344 and -631.
-287
Work out -0.31 - 216.
-216.31
Work out 0 + -8.73.
-8.73
What is the difference between 0.2 and 42.8318?
42.6318
What is the distance between -2125 and 7?
2132
What is 590 take away -153?
743
Put together -0.51 and 2.
1.49
What is the distance between 28 and 26357?
26329
Work out -0.2 - 0.0246.
-0.2246
Total of 3649 and 0.03.
3649.03
Calculate 2 + -105138.
-105136
Calculate -172 + -2.3355.
-174.3355
825+0.4
825.4
What is the difference between 25379 and 5?
25374
-43.9 + -1.87
-45.77
What is -43.6 - -3.3?
-40.3
Calculate 3377 - -33.1.
3410.1
What is 0.407943 plus -2?
-1.592057
Work out -0.5 - -0.0193.
-0.4807
Work out -0.3 + 36856.
36855.7
Work out -298 - 497.
-795
Add -0.1185 and -0.1.
-0.2185
Put together 211282 and 0.5.
211282.5
Calculate -1 + 4686.9.
4685.9
Subtract -0.212 from 4.
4.212
Total of -26.447 and 3.
-23.447
Work out 3.4 + 78604.
78607
|
{
"pile_set_name": "DM Mathematics"
}
|
-12, 0, 2
Suppose 3*v**3 - 399*v**2 + 6240*v + 518400 = 0. Calculate v.
-27, 80
Find j such that -j**4 - 39*j**3 - 558*j**2 - 3488*j - 8064 = 0.
-14, -9, -8
Factor -2*s**3 + 2872*s**2 - 14318*s + 11448.
-2*(s - 1431)*(s - 4)*(s - 1)
Determine w, given that -3*w**4/5 - 792*w**3 + 23841*w**2/5 - 35802*w/5 = 0.
-1326, 0, 3
Factor -3*m**2 + 205512*m - 3519598512.
-3*(m - 34252)**2
Suppose -50460*h**5 + 67251*h**4 - 11031*h**3 - 8637*h**2 + 3171*h - 294 = 0. Calculate h.
-2/5, 7/29, 1/4, 1
Factor 7*b**3/2 - 3215*b**2/2 + 49662*b - 14058.
(b - 426)*(b - 33)*(7*b - 2)/2
Factor -l**3 + 32*l**2 + 753*l + 720.
-(l - 48)*(l + 1)*(l + 15)
Factor -g**2/5 - 479*g - 2394/5.
-(g + 1)*(g + 2394)/5
Determine l so that -l**2/4 + 177*l/2 + 724 = 0.
-8, 362
Find b, given that -5*b**5 + 5910*b**4 + 89400*b**3 + 448250*b**2 + 748125*b = 0.
-5, 0, 1197
What is g in 22*g**5 - 1362*g**4 - 5868*g**3 - 4840*g**2 + 5712*g + 6336 = 0?
-2, -12/11, 1, 66
Solve -2*m**4 - 11930*m**3 - 71526*m**2 - 107262*m = 0.
-5959, -3, 0
Solve t**4 + 174*t**3 + 8892*t**2 + 141512*t = 0.
-98, -38, 0
Factor -5*j**4 + 150*j**3 - 1605*j**2 + 7280*j - 11760.
-5*(j - 12)*(j - 7)**2*(j - 4)
Factor l**2 + 48374*l + 585010969.
(l + 24187)**2
What is m in -2*m**4/15 - 12*m**3 - 448*m**2/5 - 2624*m/15 = 0?
-82, -4, 0
Suppose 29277*z**2 - 29271*z - 6 = 0. What is z?
-2/9759, 1
Suppose 3*s**2 + 81711*s + 81708 = 0. Calculate s.
-27236, -1
Determine f so that 3*f**2/5 - 38967*f/5 + 38964/5 = 0.
1, 12988
Determine v, given that 654*v**3 + 3374*v**2/5 - 6436*v/5 - 208/5 = 0.
-2, -52/1635, 1
Solve 21*k**4 - 4171761*k**3 + 207188275173*k**2 - 266379221007*k + 59195117574 = 0 for k.
2/7, 1, 99327
Determine g, given that -g**2 + 27459*g - 27458 = 0.
1, 27458
Factor -2*p**3/5 - 898*p**2 - 497200*p + 7661400.
-2*(p - 15)*(p + 1130)**2/5
Let 3*d**4 + 399*d**3 - 5193*d**2 + 3981*d + 9570 = 0. What is d?
-145, -1, 2, 11
Factor -2*y**2 + 12*y + 11534.
-2*(y - 79)*(y + 73)
Factor -31*w**3 + 32*w**2 + 157*w + 94.
-(w + 1)**2*(31*w - 94)
Factor 2*m**4/17 + 6*m**3/17 - 18*m**2/17 + 10*m/17.
2*m*(m - 1)**2*(m + 5)/17
Determine z, given that 2*z**3/5 + 28824*z**2/5 + 115272*z/5 + 115264/5 = 0.
-14408, -2
Factor 6*z**2/7 + 49494*z/7 + 98964/7.
6*(z + 2)*(z + 8247)/7
Solve m**3/11 + 5361*m**2/11 + 37460*m/11 - 96372/11 = 0.
-5354, -9, 2
Factor 3*u**3 + 71046*u**2 + 142083*u + 71040.
3*(u + 1)**2*(u + 23680)
Let 4*s**4/7 - 55036*s**3/7 + 220100*s**2/7 - 275108*s/7 + 15720 = 0. Calculate s.
1, 2, 13755
Solve 10*w**3/13 - 464*w**2/13 - 762*w/13 - 288/13 = 0.
-1, -3/5, 48
Determine b so that -b**5/3 + 162*b**4 + 488*b**3/3 - 162*b**2 - 487*b/3 = 0.
-1, 0, 1, 487
Factor r**4/3 + 3382*r**3/3 + 952032*r**2 - 1908576*r.
r*(r - 2)*(r + 1692)**2/3
Factor t**2/3 - 557*t - 26992/3.
(t - 1687)*(t + 16)/3
Let -3*w**5/5 + 1146*w**4/5 + 1152*w**3/5 - 1146*w**2/5 - 1149*w/5 = 0. Calculate w.
-1, 0, 1, 383
Let 2*k**3/7 - 6386*k**2/7 + 725946*k + 25568010/7 = 0. Calculate k.
-5, 1599
Suppose 196*z**4 - 16940*z**3 + 343464*z**2 + 200432*z + 28832 = 0. What is z?
-2/7, 34, 53
Factor -2*b**2/17 - 1648*b + 589218/17.
-2*(b - 21)*(b + 14029)/17
Factor 2*a**2/5 + 454*a/5 + 4756.
2*(a + 82)*(a + 145)/5
Determine z so that -4*z**3/7 - 38744*z**2/7 + 116268*z/7 = 0.
-9689, 0, 3
Determine m so that m**3/3 + 151385*m**2/3 + 302767*m/3 + 50461 = 0.
-151383, -1
Find r such that r**5 + 482*r**4 + 56608*r**3 - 357216*r**2 = 0.
-244, 0, 6
Suppose t**2 - 17328*t + 86615 = 0. Calculate t.
5, 17323
Let -5929*q**4/3 + 45661*q**3 - 265604*q**2 + 81680*q/3 - 704 = 0. Calculate q.
4/77, 11, 12
Determine p so that -7*p**3 - 1024*p**2 - 292*p = 0.
-146, -2/7, 0
Solve 18*n**2 - 34467*n - 40236 = 0.
-7/6, 1916
Factor r**5/7 - 9216*r**4/7 + 21325524*r**3/7 - 422832080*r**2/7.
r**2*(r - 4598)**2*(r - 20)/7
Factor -2*x**3 + 16670*x**2 + 16672*x.
-2*x*(x - 8336)*(x + 1)
Suppose -4*n**3 - 20*n**2 + 4464*n = 0. Calculate n.
-36, 0, 31
Factor -2*m**2/7 - 41236*m/7.
-2*m*(m + 20618)/7
Factor y**3 - 11269*y**2 - 112765*y - 281975.
(y - 11279)*(y + 5)**2
Determine p so that -p**2 - 57*p + 2380 = 0.
-85, 28
Solve -2*g**3/17 + 11754*g**2 - 4990604400*g/17 - 14973611616/17 = 0.
-3, 49956
Factor 3*v**3/4 + 1305*v**2/4 - 1977*v/2 - 1314.
3*(v - 4)*(v + 1)*(v + 438)/4
Find o such that -o**3/2 - 309*o**2 + o/2 + 309 = 0.
-618, -1, 1
Factor -5*k**3/3 + 22169*k**2/3 - 8190337*k - 1638363.
-(k - 2217)**2*(5*k + 1)/3
Find f such that f**2/2 + 2143*f/2 - 4294 = 0.
-2147, 4
Determine y so that -y**5/8 + 61*y**4/4 + 6301*y**3/4 + 1482*y**2 - 62001*y/8 + 18711/4 = 0.
-66, -3, 1, 189
Factor -3*t**3/5 - 1854*t**2/5 - 372123*t/5 - 4798164.
-3*(t + 140)*(t + 239)**2/5
Factor 3*h**3 + 4920*h**2 + 618879*h + 20281302.
3*(h + 67)**2*(h + 1506)
Suppose -9*o**3 + 281*o**2 - 332*o + 60 = 0. Calculate o.
2/9, 1, 30
Find w such that 55*w**5 - 185*w**4 + 225*w**3 - 115*w**2 + 20*w = 0.
0, 4/11, 1
Determine l, given that -156*l**4/7 - 40720*l**3/7 - 23148*l**2 - 164496*l/7 - 4112/7 = 0.
-257, -2, -1/39
Solve -v**2/3 + 426290*v - 136292373075 = 0 for v.
639435
Solve 16384*f**4 + 1863168*f**3 + 20334000*f**2 + 154953125*f/2 + 99609375 = 0 for f.
-102, -125/32
Factor -4*i**3 + 72*i**2 - 236*i - 792.
-4*(i - 11)*(i - 9)*(i + 2)
Determine w, given that 12*w**5 + 8224*w**4 + 51544*w**3 - 40768*w**2 - 19012*w = 0.
-679, -7, -1/3, 0, 1
Find o, given that -o**2/3 - 6580*o - 138131/3 = 0.
-19733, -7
Solve -w**2/3 + 65*w/3 - 338 = 0.
26, 39
Factor -2116*o**3/3 + 912088*o**2/3 - 39653*o/3 + 431/3.
-(o - 431)*(46*o - 1)**2/3
Factor -m**3/5 - 301*m**2/5 + 2156*m/5.
-m*(m - 7)*(m + 308)/5
Determine q so that -5*q**4 + 8730*q**3 - 3801905*q**2 - 7630020*q - 3819380 = 0.
-1, 874
Find g, given that 4*g**2/3 + 23132*g - 69400/3 = 0.
-17350, 1
Suppose -56*s**5 - 262*s**4 + 914*s**3/9 + 176*s**2/3 + 40*s/9 = 0. Calculate s.
-5, -1/4, -2/21, 0, 2/3
Find g such that 4*g**3 - 724*g**2 + 1436*g - 716 = 0.
1, 179
Solve 4*h**2 + 16560*h - 82900 = 0 for h.
-4145, 5
What is n in 6*n**4 - 329*n**3 + 11822*n**2/3 + 48517*n/3 - 8410/3 = 0?
-10/3, 1/6, 29
Factor -2*h**3/11 - 8*h**2/11 + 82*h/11 - 72/11.
-2*(h - 4)*(h - 1)*(h + 9)/11
Find j, given that j**3/9 + 428*j**2/9 - 6139*j/9 + 21658/9 = 0.
-442, 7
Let 2*k**4/21 + 194*k**3/21 - 620*k**2/7 + 5056*k/21 - 3392/21 = 0. What is k?
-106, 1, 4
Let 3*n**2 - 87819*n + 175626 = 0. What is n?
2, 29271
Factor 5*t**3 - 4030*t**2 - 4045*t + 8070.
5*(t - 807)*(t - 1)*(t + 2)
Suppose 2*j**4 - 40*j**3 - 1578*j**2 - 2240*j + 54400 = 0. What is j?
-17, -8, 5, 40
Factor t**3/3 - 16*t**2/3 - 273*t + 4698.
(t - 27)*(t - 18)*(t + 29)/3
Determine s, given that s**5 + 55*s**4 + 341*s**3 + 233*s**2 - 342*s - 288 = 0.
-48, -6, -1, 1
Factor s**3/8 + 75*s**2/2 + 20253*s/8 - 172543/4.
(s - 14)*(s + 157)**2/8
What is t in -4*t**3/9 - 640*t**2/9 - 22100*t/9 + 289000/9 = 0?
-85, 10
Factor 35*l**2 + 13760*l - 81795.
5*(l + 399)*(7*l - 41)
Suppose y**5/3 - 365*y**4/3 + 14047*y**3/3 - 156203*y**2/3 + 271720*y/3 - 129200/3 = 0. Calculate y.
1, 20, 323
Let -h**2/2 - 46*h - 546 = 0. What is h?
-78, -14
Factor 35*i**2/2 - 22454*i + 3849/2.
(i - 1283)*(35*i - 3)/2
Determine y, given that -y**3 - 240*y**2 - 3375*y = 0.
-225, -15, 0
Solve -o**5/2 - 73*o**4/2 - 385*o**3/2 + 1145*o**2/2 + 193*o - 536 = 0 for o.
-67, -8, -1, 1, 2
What is q in q**4/4 + 5475*q**3/4 + 16419*q**2/4 + 16417*q/4 + 1368 = 0?
-5472, -1
What is j in -5716*j**2 + 11428*j + 8 = 0?
-1/1429, 2
Suppose 3*h**2/2 + 55455*h/2 - 55461 = 0. What is h?
-18487, 2
Factor 3*g**2/2 - 1049895*g/4 - 524949/4.
3*(g - 174983)*(2*g + 1)/4
Factor -2*y**3/5 + 703804*y**2/5 + 1407614*y/5 + 703808/5.
-2*(y - 351904)*(y + 1)**2/5
What is c in -4*c**2 - 780*c - 12744 = 0?
-177, -18
Factor -p**3/5 + 178*p**2 + 32279*p/5 + 17760.
-(p - 925)*(p + 3)*(p + 32)/5
Factor -2*i**3 - 1980*i**2 + 1982*i.
-2*i*(i - 1)*(i + 991)
Find b such that 2*b**4/5 - 100*b**3 + 30738*b**2/5 + 65016*b/5 - 95256/5 = 0.
-3, 1, 126
Suppose q**2/6 + 26*q/3 - 783/2 = 0. What is q?
-81, 29
Factor -p**2/8 + 197*p/4 - 1848.
-(p - 352)*(p - 42)/8
What is s in -45*s**2 - 70550*s + 15680 = 0?
-1568, 2/9
Let -2*p**4/7 + 88*p**3 + 622*p**2/7 - 1236*p/7 = 0. Calculate p.
-2, 0, 1, 309
Factor -3*f**2 + 445686*f + 445689.
-3*(f - 148563)*(f + 1)
Find q such that 3*q**3 + 66*q**2 - 69*q = 0.
-23, 0, 1
Suppose 4*y**3
|
{
"pile_set_name": "DM Mathematics"
}
|
9
What is the ten thousands digit of 2562851340?
5
What is the thousands digit of 7498658380?
8
What is the hundred thousands digit of 7208594?
2
What is the ten millions digit of 249469415?
4
What is the hundred millions digit of 687788406?
6
What is the millions digit of 645344004?
5
What is the units digit of 39985057?
7
What is the hundred thousands digit of 288319601?
3
What is the hundreds digit of 26126450?
4
What is the units digit of 122585571?
1
What is the tens digit of 1890121714?
1
What is the ten millions digit of 2896045294?
9
What is the units digit of 123949491?
1
What is the units digit of 4290704818?
8
What is the tens digit of 155787190?
9
What is the tens digit of 8135975?
7
What is the hundreds digit of 2212650970?
9
What is the ten thousands digit of 365679974?
7
What is the thousands digit of 432217928?
7
What is the hundred thousands digit of 6112591?
1
What is the units digit of 243694532?
2
What is the tens digit of 1230851?
5
What is the ten thousands digit of 134067797?
6
What is the hundreds digit of 417672477?
4
What is the hundred millions digit of 153637667?
1
What is the ten thousands digit of 496627778?
2
What is the ten thousands digit of 134717267?
1
What is the ten millions digit of 903469206?
0
What is the units digit of 4149873095?
5
What is the ten millions digit of 151713055?
5
What is the ten millions digit of 50357414?
5
What is the tens digit of 139325048?
4
What is the units digit of 5629497148?
8
What is the thousands digit of 167798332?
8
What is the hundreds digit of 9724802?
8
What is the ten thousands digit of 351250973?
5
What is the ten thousands digit of 110128033?
2
What is the hundred millions digit of 498608545?
4
What is the ten thousands digit of 49090172?
9
What is the tens digit of 46750493?
9
What is the hundreds digit of 488377594?
5
What is the units digit of 1113028122?
2
What is the millions digit of 73382459?
3
What is the tens digit of 4789547703?
0
What is the ten thousands digit of 47525648?
2
What is the units digit of 83311266?
6
What is the units digit of 2616878288?
8
What is the ten thousands digit of 330303064?
0
What is the tens digit of 48450477?
7
What is the ten millions digit of 277327976?
7
What is the ten thousands digit of 478945276?
4
What is the hundred millions digit of 245169692?
2
What is the hundreds digit of 136858633?
6
What is the tens digit of 98230576?
7
What is the millions digit of 31796866?
1
What is the ten millions digit of 233501019?
3
What is the ten millions digit of 223463926?
2
What is the hundred millions digit of 1804979956?
8
What is the billions digit of 3021740852?
3
What is the hundreds digit of 2614212?
2
What is the millions digit of 123368829?
3
What is the ten millions digit of 821140128?
2
What is the hundred thousands digit of 53531947?
5
What is the ten thousands digit of 167101557?
0
What is the hundred thousands digit of 1879139038?
1
What is the units digit of 1970768821?
1
What is the hundreds digit of 358401051?
0
What is the hundreds digit of 1091963965?
9
What is the hundreds digit of 2118684633?
6
What is the units digit of 27521986?
6
What is the hundred thousands digit of 115650818?
6
What is the tens digit of 265195457?
5
What is the ten thousands digit of 1280997426?
9
What is the millions digit of 678689638?
8
What is the hundred millions digit of 386580904?
3
What is the hundreds digit of 3812758855?
8
What is the ten thousands digit of 14816929?
1
What is the thousands digit of 71146312?
6
What is the ten millions digit of 1298757249?
9
What is the ten millions digit of 4136875212?
3
What is the hundred thousands digit of 260150086?
1
What is the tens digit of 17451409?
0
What is the hundred thousands digit of 69970014?
9
What is the ten thousands digit of 257611047?
1
What is the tens digit of 19772826?
2
What is the millions digit of 616578570?
6
What is the hundreds digit of 1066897?
8
What is the ten thousands digit of 38514986?
1
What is the ten millions digit of 508419800?
0
What is the hundred thousands digit of 9604563?
6
What is the units digit of 1207087635?
5
What is the hundreds digit of 251382565?
5
What is the hundreds digit of 210298309?
3
What is the thousands digit of 66823851?
3
What is the units digit of 35930864?
4
What is the millions digit of 128773979?
8
What is the tens digit of 1576503755?
5
What is the units digit of 820427729?
9
What is the hundreds digit of 9513067?
0
What is the hundred thousands digit of 130364279?
3
What is the tens digit of 409882100?
0
What is the thousands digit of 95223778?
3
What is the millions digit of 2600649605?
0
What is the ten thousands digit of 601690231?
9
What is the millions digit of 162863436?
2
What is the thousands digit of 127009124?
9
What is the hundreds digit of 2036507306?
3
What is the hundred millions digit of 511844825?
5
What is the ten thousands digit of 5592597624?
9
What is the tens digit of 6493709?
0
What is the millions digit of 65439793?
5
What is the ten thousands digit of 73067785?
6
What is the billions digit of 5565596069?
5
What is the hundred thousands digit of 6255802?
2
What is the ten millions digit of 72242401?
7
What is the units digit of 1544096846?
6
What is the thousands digit of 60731154?
1
What is the hundreds digit of 80922947?
9
What is the hundreds digit of 121779975?
9
What is the thousands digit of 150504463?
4
What is the tens digit of 75679320?
2
What is the ten millions digit of 80485602?
8
What is the hundred millions digit of 1068420733?
0
What is the tens digit of 216912701?
0
What is the billions digit of 4607652488?
4
What is the hundred thousands digit of 236785236?
7
What is the units digit of 188103525?
5
What is the hundred millions digit of 490332970?
4
What is the hundred thousands digit of 200463026?
4
What is the thousands digit of 2378151?
8
What is the millions digit of 441113590?
1
What is the ten millions digit of 268604579?
6
What is the units digit of 499005120?
0
What is the units digit of 6467633815?
5
What is the ten millions digit of 278643665?
7
What is the ten millions digit of 64016384?
6
What is the ten millions digit of 141764956?
4
What is the hundred thousands digit of 21375472?
3
What is the tens digit of 1878138234?
3
What is the ten millions digit of 764283147?
6
What is the millions digit of 34251478?
4
What is the ten thousands digit of 874690808?
9
What is the ten thousands digit of 352825179?
2
What is the hundred thousands digit of 318555824?
5
What is the millions digit of 2493025033?
3
What is the tens digit of 16298693?
9
What is the millions digit of 24045458?
4
What is the hundreds digit of 29942877?
8
What is the hundred millions digit of 171914409?
1
What is the tens digit of 520630717?
1
What is the thousands digit of 375957365?
7
What is the hundred thousands digit of 22910875?
9
What is the hundreds digit of 112816329?
3
What is the thousands digit of 10044783?
4
What is the ten millions digit of 1387210449?
8
What is the hundred millions digit of 2977531834?
9
What is the thousands digit of 7783744467?
4
What is the units digit of 982480929?
9
What is the hundred thousands digit of 38006235?
0
What is the thousands digit of 200040646?
0
What is the millions digit of 6430955643?
0
What is the thousands digit of 411770774?
0
What is the hundreds digit of 1347173?
1
What is the ten thousands digit of 1138171635?
7
What is the hundreds digit of 82966812?
8
What is the tens digit of 645279598?
9
What is the hundred thousands digit of 3425993297?
9
What is the millions digit of 1137254428?
7
What is the hundreds digit of 132239387?
3
What is the tens digit of 36846037?
3
What is the thousands digit of 1426887?
6
What is the ten thousands digit of 512620124?
2
What is the ten millions digit of 3161886449?
6
What is the thousands digit of 492092830?
2
What is the ten thousands digit of 2193927610?
2
What is the ten thousands digit of 58732220?
3
What is the tens digit of 108174597?
9
What is the hundred thousands digit of 3051744159?
7
What is the ten millions digit of 3079624588?
7
What is the millions digit of 3267529222?
7
What is the thousands digit of 216294009?
4
What is the hundred thousands digit of 338881282?
8
What is the ten thousands digit of 46664384
|
{
"pile_set_name": "DM Mathematics"
}
|
b**6 - 165*b**5 - 10*b**6 + 2392*b**2 wrt b?
-240*b**3 + 8472
Let w = 23 - -1. Let c = w + 5. What is the third derivative of 69*v**3 + 0*v**2 + c*v**2 - 91*v**3 wrt v?
-132
Let n(z) be the second derivative of -3167*z**4/4 - 5131*z**2/2 - 2*z - 511. Differentiate n(m) with respect to m.
-19002*m
Let w(v) be the first derivative of v**3/3 - 124*v**2 - 5166*v + 2636. Differentiate w(h) wrt h.
2*h - 248
Find the first derivative of -642 - 445 + 3524*r**4 - 13002*r**4 - 129 + 386 wrt r.
-37912*r**3
Let q(l) = l**3 + 20*l**2 + 37*l + 21. Let y be q(-18). What is the first derivative of 2*d**y + 15*d**3 - 12*d**3 + 3*d**2 - d**2 - 108 wrt d?
15*d**2 + 4*d
Let g(h) be the first derivative of -1289*h**5/5 - 1085*h + 135. Differentiate g(k) with respect to k.
-5156*k**3
Let c(m) = -3*m + 4. Let s(o) = 7381*o - 2426. Let u(r) = -6*c(r) + s(r). What is the derivative of u(d) wrt d?
7399
Let u = -150 - -162. What is the second derivative of 16*h - u*h - 19*h**5 - 27*h + 1 wrt h?
-380*h**3
Let c(v) = 3*v**3 - v**2 + 5*v - 2. Let i be c(3). Suppose i = 24*t - 19*t. What is the third derivative of -50*j**2 - 31 + 62 - t*j**3 - 31 wrt j?
-102
Suppose 2*h = 1 + 3. What is the third derivative of 61*f**4 + 25*f**h - 43 + 43 + 18*f**2 wrt f?
1464*f
What is the second derivative of 1545*y**5 + 4192*y**5 + 1 - 2*y - 124 wrt y?
114740*y**3
Let p(g) be the first derivative of 526*g**7/7 + 9*g**4/4 - 20*g**3/3 + 64*g**2 + 3215. What is the third derivative of p(j) wrt j?
63120*j**3 + 54
Let i be (-30)/15*(2 + -4). What is the third derivative of -31*s**2 - i*s**6 - 2 + 41*s**6 + 14*s**2 - 27*s**2 wrt s?
4440*s**3
Let n(c) be the third derivative of 379*c**5/30 + 79*c**3/6 + 1091*c**2. What is the derivative of n(f) wrt f?
1516*f
Let i(b) = -b - 85. Let n be i(0). Let h be (2 - -1)*n/(-51). Find the first derivative of 5*l + 28 - h*l - 3*l - 5*l wrt l.
-8
Let d(m) be the third derivative of -917*m**5/30 - 2035*m**4/24 - 1681*m**2. What is the second derivative of d(l) wrt l?
-3668
Let o(t) = -4*t**2 - 2*t + 144. Let p(s) = 4*s + 13 + 119 - 5*s**2 + 40 - 28 - 6*s. Let a(w) = 5*o(w) - 6*p(w). What is the derivative of a(i) wrt i?
20*i + 2
Let c be -5 - -11 - (-50 + 7). Find the first derivative of 44 - c*h**3 - 27 + h + 69 wrt h.
-147*h**2 + 1
Let h(j) be the first derivative of 35*j**4/12 - 5*j**3/6 - 53*j + 15. Let g(s) be the first derivative of h(s). What is the second derivative of g(b) wrt b?
70
Let t be (1 + 152/(-56))/(2/(-7)). What is the third derivative of 122*n**2 + 34*n**6 - 87*n**t + 34*n**2 - 87*n**6 - 35*n**6 wrt n?
-21000*n**3
What is the second derivative of -346*h**3 - 439*h**3 - 390*h**3 + 212*h**3 + 805*h + 967*h wrt h?
-5778*h
Let n(c) = -24*c - 3. Let a be n(-3). Let f = a - 63. Find the first derivative of -27 - 6*d - d + f*d wrt d.
-1
Let g(l) = -l**3 + 14*l**2 - 11*l - 20. Let v be g(13). What is the second derivative of -v*s**4 - 179*s**4 - 389*s + 97*s wrt s?
-2220*s**2
Let h(g) = -2396*g + 7612. Let f(y) = 2331*y - 7612. Let z(p) = -3*f(p) - 2*h(p). Differentiate z(n) wrt n.
-2201
Let s(p) be the second derivative of -91*p**5/4 + p**4/12 + 11803*p**2/2 + 5656*p + 2. What is the first derivative of s(r) wrt r?
-1365*r**2 + 2*r
Let j(o) = 1. Let w(p) be the third derivative of 0*p - 11/3*p**3 + 0 + 20*p**2 - 1/8*p**4. Let i(b) = 2*j(b) + w(b). Differentiate i(a) wrt a.
-3
Let m(d) be the first derivative of 8*d**2 - 13/24*d**4 + 0*d + 4*d**3 - 5. Let c(b) be the second derivative of m(b). Find the first derivative of c(w) wrt w.
-13
Let i = 94 - 69. Let n = i - 19. What is the third derivative of 23*c**2 + 18*c**n + 4*c**2 - 3*c**2 wrt c?
2160*c**3
Let b be 3 + (4 - 8) + 6 + 1. Suppose -5*d - b*r + r = 0, -2*d + 3*r = -25. What is the third derivative of 28*l**2 + 18*l**d + 40*l**2 - 49*l**2 wrt l?
1080*l**2
Let z(u) = 46*u + 3. Let y(l) = 3602*l - 122. Let s(c) = -2*y(c) + 4*z(c). Find the first derivative of s(n) wrt n.
-7020
Suppose -27*g + 41 = -13. Find the first derivative of -15*u**g - 5*u - 27*u**2 + 79 + 29 + 13*u**2 + 7*u wrt u.
-58*u + 2
Find the third derivative of -93877*b**4 - 24*b**2 - 120 + b**6 + 187768*b**4 - 93852*b**4 + b**5 wrt b.
120*b**3 + 60*b**2 + 936*b
Suppose -12*z + 3*b + 2 = -11*z, -3 = -3*b. What is the second derivative of 130*l**5 + 145*l + 11*l**3 + 14*l**z - 11*l**3 wrt l?
2880*l**3
Let x(m) be the first derivative of -3*m**5/5 - 159*m**4/2 - 3767*m + 551. What is the first derivative of x(f) wrt f?
-12*f**3 - 954*f**2
Let t(h) = 38*h**4 - 3*h**3 - 9*h - 2003. Let b(z) = -37*z**4 + 2*z**3 + 8*z + 2003. Let i(f) = -4*b(f) - 3*t(f). What is the derivative of i(j) wrt j?
136*j**3 + 3*j**2 - 5
What is the third derivative of -2*s + 1389632*s**3 - 1389632*s**3 + 74*s**5 + 2*s + 273*s**2 wrt s?
4440*s**2
Let t be 35/(-7) - (-35)/5. What is the second derivative of -97047*a**t + 97047*a**2 + 12*a**5 - 156*a + 3*a**3 wrt a?
240*a**3 + 18*a
What is the second derivative of -627*g - 1449*g + 2425*g**3 - 13 + 13 wrt g?
14550*g
Let q(h) be the first derivative of -3531*h**4/2 + h**3/3 - 67*h**2/2 + 14*h - 8715. Find the third derivative of q(j) wrt j.
-42372
Let l(b) = -488*b - 211. Let u(o) = -242*o - 106. Let z be 24/(-28)*(-91)/(-26). Let y(x) = z*l(x) + 7*u(x). What is the derivative of y(f) wrt f?
-230
Let i(c) be the second derivative of -119*c**2 - 163/6*c**3 + 96*c + 0. Find the first derivative of i(q) wrt q.
-163
Suppose 2*j - 7 + 41 = 4*u, -j - 3 = 0. Let x be u - 1*1/(-1). Differentiate -2*b + x + 12 + 3*b with respect to b.
1
Suppose -3*i - 10*k = 0, 0 = 3*i - 9*k + 7*k. Let l(o) be the third derivative of 0*o + 4*o**2 + 7/8*o**4 + i - 7/2*o**3. What is the derivative of l(w) wrt w?
21
Let o be (-1 + (-6)/(-4))*22. Suppose -o*i = -7*i - 28. Find the second derivative of -16*l - 10*l + 28*l - i*l**5 - 2*l**5 wrt l.
-180*l**3
What is the third derivative of -c + 27 - 28 + 1373*c**5 + 57*c**5 - 20*c**2 wrt c?
85800*c**2
Let v(o) = -4*o - 18. Let c(h) = 15*h + 24. Let p(n) = -13*n - 23. Let f(j) = 4*c(j) + 5*p(j). Let y(z) = -5*f(z) + 4*v(z). Differentiate y(k) wrt k.
9
Find the third derivative of -518*m**6 - 13056*m + 8 + 18*m**2 + 4*m**2 + 13056*m wrt m.
-62160*m**3
Let a(l) = 5*l**4 - 37*l**3 + 6*l**2 + 6*l - 959. Let t(k) = -k**4 - 2*k**3 + k**2 + k - 5. Let h(j) = a(j) - 6*t(j). Differentiate h(y) with respect to y.
44*y**3 - 75*y**2
What is the second derivative of 22*z + 120*z - 80*z + 10 - 12 + 301*z - 1147*z**2 wrt z?
-2294
What is the first derivative of -1193*a**3 + 471 - 86*a + 2*a**2 - 61*a + 147*a wrt a?
-3579*a**2 + 4*a
Let u = -3 + 77. Let r = -65 + u. Find the third derivative of r*q**2 + 8*q**2 - 22*q**4 + 9*q**4 wrt q.
-312*q
What is the first derivative of -929 + 116*c - 238*c - 678*c**2 + 22*c**2 + 122*c wrt c?
-1312*c
Differentiate -112024*p + 3293 + 112024*p + 2835*p**3 with respect to p.
8505*p**2
Let d(b) be the second derivative of 601*b**7/21 + 43*b**4/12 - 4*b - 61. What is the third derivative of d(g) wrt g?
72120*g**2
Let k(r) = 3*r**3 - 6*r**2 - 2*r - 7. Let x be k(3). Find the second derivative of 27*c - 80*c**4 - 9*c - 11 + 3 - x*c wrt c.
-960*c**2
Let v be (9/(-4))/((-3)/140). What is the third derivative of -55*g**2 + 2 + v*g**2 + 2 - 53*g**2 - 59*g**3 wrt g?
-354
Let b = -7 - -30. Let a = -10 + b. Find the second derivative of 14*t - 39*t + a*t - 17*t**5 wrt t.
-340*t**3
Differentiate -8499003*o + 8499003*o + 226 + 717*o**4 + o**2 wrt o.
2868*o**3 + 2*o
Let n(v) be the first derivative of -805*v**4/4 + 4341*v + 2342. What is the derivative of n(g) wrt g?
-2415*g**2
Let x(w) = 256*w**2 + w + 170. Let v(a) = -508*a**2 - 2*a - 339. Let g(z) = 4*v(z) + 7*x(z). Find the second derivative of g(i) wrt i.
-480
Let y(w) be the first derivative of -3901*w**5/5 - w**4/4 - 2696*w**3 + 842. What is the third derivative of y(r) wrt r?
-93624*r - 6
Let z(s) be the third derivative of -29*s**7/2520 + 77*s**6/720 + 7*s**5/30 + s**2 + 11*s. Let c(p) be the third derivative of z(p). Differentiate c(b) wrt b.
-58
Let x(v) be the second derivative of 1/20*v**5 - 4 + 11*v - 17*v**2 + 0*v**3 + 0*v**4. Differentiate x(p) with respect to p.
3*p**2
Suppose 40*d - 1533 = 33*d. What is the second derivative of 107*a**3 - 28 + 89*a**3 + 113*a + 108*a - d*a wrt a?
1176*a
Let p(l) be the first derivat
|
{
"pile_set_name": "DM Mathematics"
}
|
179, 1273182, 1273185?
3*r + 1273173
What is the l'th term of 63637, 254623, 572933, 1018567?
63662*l**2 - 25
What is the j'th term of 2204, 2170, 2110, 2024, 1912, 1774?
-13*j**2 + 5*j + 2212
What is the i'th term of -1124231, -2248469, -3372721, -4496993, -5621291, -6745621, -7869989?
-i**3 - i**2 - 1124228*i - 1
What is the w'th term of -1889158, -3778312, -5667466, -7556620?
-1889154*w - 4
What is the t'th term of -2949, -2869, -2789, -2709?
80*t - 3029
What is the h'th term of -171, -844, -1965, -3534, -5551, -8016, -10929?
-224*h**2 - h + 54
What is the s'th term of 9576, 19156, 28736, 38316?
9580*s - 4
What is the o'th term of 56, 136, 246, 368, 484?
-3*o**3 + 33*o**2 + 2*o + 24
What is the k'th term of -1074, -1165, -1256, -1347?
-91*k - 983
What is the n'th term of 9, 212, 455, 732, 1037, 1364?
-n**3 + 26*n**2 + 132*n - 148
What is the a'th term of 555410, 555395, 555370, 555335?
-5*a**2 + 555415
What is the u'th term of 577, 76, -425, -926, -1427, -1928?
-501*u + 1078
What is the b'th term of 1252, 1356, 1492, 1660, 1860, 2092?
16*b**2 + 56*b + 1180
What is the u'th term of 187, 365, 597, 895, 1271, 1737, 2305, 2987?
2*u**3 + 15*u**2 + 119*u + 51
What is the d'th term of 145, 522, 1381, 2962, 5505, 9250, 14437?
40*d**3 + d**2 + 94*d + 10
What is the z'th term of 13469, 26938, 40407?
13469*z
What is the l'th term of -7193, -7122, -7051, -6980, -6909?
71*l - 7264
What is the l'th term of 599, 2129, 4677, 8243, 12827?
509*l**2 + 3*l + 87
What is the f'th term of -233054, -233055, -233056, -233057, -233058?
-f - 233053
What is the x'th term of 738, 558, 258, -162, -702?
-60*x**2 + 798
What is the a'th term of -542, -502, -388, -164, 206, 758, 1528, 2552?
6*a**3 + a**2 - 5*a - 544
What is the f'th term of 6476, 6461, 6444, 6425, 6404, 6381, 6356?
-f**2 - 12*f + 6489
What is the i'th term of 93, -383, -859?
-476*i + 569
What is the q'th term of -58526, -58525, -58524?
q - 58527
What is the q'th term of 20, 4, 4, 26, 76, 160, 284?
q**3 + 2*q**2 - 29*q + 46
What is the j'th term of 2541, 4860, 7179, 9498, 11817?
2319*j + 222
What is the a'th term of -966, -956, -942, -924, -902, -876?
2*a**2 + 4*a - 972
What is the s'th term of -64603, -258443, -581517, -1033831, -1615391, -2326203?
-s**3 - 64611*s**2 + 9
What is the f'th term of -1350, -2712, -4074, -5436, -6798, -8160?
-1362*f + 12
What is the j'th term of 8485, 7973, 6583, 3877, -583, -7235, -16517?
-73*j**3 - j**2 + 2*j + 8557
What is the h'th term of -5035, -10016, -14995, -19972, -24947, -29920?
h**2 - 4984*h - 52
What is the x'th term of -16828, -33651, -50468, -67279?
3*x**2 - 16832*x + 1
What is the z'th term of 190, 195, 198, 199?
-z**2 + 8*z + 183
What is the o'th term of 5877, 5886, 5895, 5904, 5913, 5922?
9*o + 5868
What is the u'th term of -54, -203, -452, -801, -1250, -1799?
-50*u**2 + u - 5
What is the s'th term of 169785, 169787, 169789, 169791, 169793, 169795?
2*s + 169783
What is the h'th term of -25124, -50250, -75372, -100490, -125604, -150714, -175820?
2*h**2 - 25132*h + 6
What is the m'th term of 498, 2021, 4568, 8139, 12734, 18353, 24996?
512*m**2 - 13*m - 1
What is the o'th term of 76824, 76835, 76852, 76875, 76904, 76939?
3*o**2 + 2*o + 76819
What is the k'th term of 214273, 214275, 214277, 214279, 214281?
2*k + 214271
What is the m'th term of -183245, -183244, -183245, -183248, -183253?
-m**2 + 4*m - 183248
What is the k'th term of 982, 773, 412, -101, -766, -1583?
-76*k**2 + 19*k + 1039
What is the c'th term of -167155, -167154, -167155, -167158?
-c**2 + 4*c - 167158
What is the o'th term of -16, 72, 266, 566, 972?
53*o**2 - 71*o + 2
What is the u'th term of -10428, -10413, -10398, -10383, -10368, -10353?
15*u - 10443
What is the i'th term of 6491, 12988, 19485, 25982?
6497*i - 6
What is the k'th term of -339, -668, -957, -1200, -1391?
k**3 + 14*k**2 - 378*k + 24
What is the u'th term of 1391, 2834, 4337, 5912, 7571, 9326?
2*u**3 + 18*u**2 + 1375*u - 4
What is the v'th term of -10087, -20180, -30273, -40366, -50459, -60552?
-10093*v + 6
What is the p'th term of 1326, 2642, 3958, 5274, 6590?
1316*p + 10
What is the o'th term of 295, 392, 103, -764, -2401, -5000, -8753, -13852?
-32*o**3 - o**2 + 324*o + 4
What is the q'th term of -3619, -7215, -10811?
-3596*q - 23
What is the b'th term of 17555, 17571, 17607, 17669, 17763, 17895, 18071?
b**3 + 4*b**2 - 3*b + 17553
What is the l'th term of -12, -32, -58, -90, -128, -172?
-3*l**2 - 11*l + 2
What is the n'th term of 4755, 4401, 4047, 3693?
-354*n + 5109
What is the r'th term of 9040, 9065, 9116, 9199, 9320, 9485?
r**3 + 7*r**2 - 3*r + 9035
What is the t'th term of -403, -332, -275, -238, -227, -248, -307, -410?
-t**3 - t**2 + 81*t - 482
What is the m'th term of -812, -1568, -2326, -3086, -3848, -4612?
-m**2 - 753*m - 58
What is the v'th term of 2022, 2029, 2036, 2043, 2050?
7*v + 2015
What is the q'th term of 708, 573, 438?
-135*q + 843
What is the f'th term of 998, 2416, 3858, 5336, 6862?
2*f**3 + 1404*f - 408
What is the d'th term of -14502, -14571, -14642, -14715, -14790, -14867?
-d**2 - 66*d - 14435
What is the t'th term of 32, 208, 380, 548, 712, 872, 1028?
-2*t**2 + 182*t - 148
What is the y'th term of -337132, -674263, -1011394, -1348525, -1685656?
-337131*y - 1
What is the b'th term of 10137, 10143, 10155, 10173, 10197, 10227, 10263?
3*b**2 - 3*b + 10137
What is the n'th term of 4829, 4825, 4821, 4817?
-4*n + 4833
What is the k'th term of 321560, 643120, 964680, 1286240, 1607800, 1929360?
321560*k
What is the n'th term of -368, -871, -1374, -1877, -2380, -2883?
-503*n + 135
What is the t'th term of -3161, -3226, -3333, -3482, -3673, -3906?
-21*t**2 - 2*t - 3138
What is the k'th term of 267038, 534083, 801128, 1068173?
267045*k - 7
What is the a'th term of 266615, 266611, 266605, 266597, 266587, 266575, 266561?
-a**2 - a + 266617
What is the q'th term of -6428, -12866, -19304, -25742, -32180, -38618?
-6438*q + 10
What is the q'th term of 169, 149, 103, 31?
-13*q**2 + 19*q + 163
What is the p'th term of -9094, -36370, -81830, -145474, -227302?
-9092*p**2 - 2
What is the g'th term of -101959, -101958, -101957, -101956, -101955?
g - 101960
What is the t'th term of 477, 839, 1447, 2307, 3425?
t**3 + 117*t**2 + 4*t + 355
What is the l'th term of -260, -517, -760, -989?
7*l**2 - 278*l + 11
What is the k'th term of 3381, 5405, 7429, 9453, 11477?
2024*k + 1357
What is the w'th term of -127, -570, -1641, -3652, -6915?
-52*w**3 - 2*w**2 - 73*w
What is the p'th term of -5551, -10456, -15361, -20266, -25171, -30076?
-4905*p - 646
What is the m'th term of 52482, 52492, 52508, 52530, 52558, 52592, 52632?
3*m**2 + m + 52478
What is the q'th term of 10047, 10048, 10049, 10050, 10051?
q + 10046
What is the p'th term of -3757, -3774, -3791, -3808, -3825?
-17*p - 3740
What is the b'th term of -1385, -2762, -4139, -5516, -6893?
-1377*b - 8
What is the q'th term of 1256, 1631, 2006, 2381, 2756?
375*q + 881
What is the y'th term of -1139, -1533, -1927, -2321, -2715?
-394*y - 745
What is the q'th term of -2794, -5658, -8522, -11386, -14250, -17114?
-2864*q + 70
What is the u'th term of -1116, -8970, -30310, -71886, -140448, -242746, -385530?
-1125*u**3 + 7*u**2 + 2
What is the i'th term of 8827, 8828, 8831, 8836, 8843, 8852?
i**2 - 2*i + 8828
What is the u'th term of -59, -437, -1141, -2171?
-163*u**2 + 111*u - 7
What is the q'th term of -4882364, -9764728, -14647092, -19529456, -24411820?
-4882364*q
What is the c'th term of -1150, -753, -342, 89, 546, 1035?
c**3 + c**2 + 387*c - 1539
What is the f'th term of -468, -762, -1058, -1356, -1656, -1958, -2262?
-f**2 - 291*f - 176
What is the c'th term of -3502, -6855, -9934, -12601, -14718, -16147, -16750, -16389?
23*c**3 - c**2 - 3511*c - 13
What is the j'th term of 23188, 46365, 69542, 92719?
23177*j + 11
What is the k'th term of -7479, -15225, -22971, -30717?
-7746*k + 267
What is the f'th term of -1887, -3790, -5693, -7596?
-1903*f + 16
What is the r'th term of -6416, -12830, -19244, -25658?
-6414*r - 2
What is the u'th term of 112, 90, 60, 22, -24?
-4*u**2 - 10*u + 126
What is the u'th term of 33250, 66504, 99758, 133012, 166266?
33254*u - 4
What is the h'th term of -264, -1705, -5620, -13245, -25816?
-206*h**3 - h**2 + 4*h - 61
What is the b'th term of -5053, -5016, -4991, -4984
|
{
"pile_set_name": "DM Mathematics"
}
|
2*o - 0*o for o.
-4
Solve 102 = 3*s + 78 for s.
8
Solve 0 = 51*o + 27*o + 78 for o.
-1
Solve 9 = -17*a + 8*a for a.
-1
Solve -4*u - 3 = -7*u for u.
1
Solve 0 = -3*m + 270 - 258 for m.
4
Solve -2*n - 27 + 25 = 0 for n.
-1
Solve 40*r - 8 = 39*r for r.
8
Solve 35 = -8*c + 35 for c.
0
Solve 8*k + k + 9*k = 0 for k.
0
Solve 2 - 34 = -32*b for b.
1
Solve -4 = 25*s - 23*s for s.
-2
Solve 25 = -27*c + 32*c for c.
5
Solve 92*s - 8 = 94*s for s.
-4
Solve 57 + 21 = -13*x for x.
-6
Solve 378 = 19*w + 397 for w.
-1
Solve -158*u = -169*u - 33 for u.
-3
Solve 325 = -10*p + 435 for p.
11
Solve 3*u = 6 - 15 for u.
-3
Solve c - 3*c = 4 for c.
-2
Solve 0 = s - 29*s - 56 for s.
-2
Solve 260*y - 263*y + 9 = 0 for y.
3
Solve 0 = -4*j - 4*j + 24 for j.
3
Solve -74*p + 69 + 5 = 0 for p.
1
Solve -271*a = -262*a for a.
0
Solve 4*c = 8*c - 16 for c.
4
Solve 23*a + 33 = -105 for a.
-6
Solve -9 = -10*j - 39 for j.
-3
Solve -42*d + 40*d = 4 for d.
-2
Solve -72*p + 6 = -69*p for p.
2
Solve 0 = 15*l + 6*l + 105 for l.
-5
Solve 12*c = c + 22 for c.
2
Solve 3*w - 127 = -133 for w.
-2
Solve -4*u = u - 10 for u.
2
Solve -6*z + 2*z = -12 for z.
3
Solve -5*t - 47*t = 260 for t.
-5
Solve -42 = 5*h - 2 for h.
-8
Solve 3*q = 7 + 2 for q.
3
Solve -4 - 2 = 3*p for p.
-2
Solve 0 = -48*z + 85*z - 111 for z.
3
Solve -39*y = -24*y + 60 for y.
-4
Solve 28 - 4 = 6*p for p.
4
Solve -z = 4*z - 5 for z.
1
Solve -19*r - 11 - 160 = 0 for r.
-9
Solve 112 = 33*g + 46 for g.
2
Solve -122*j - 60 = -132*j for j.
6
Solve 10*h = 5*h for h.
0
Solve -5*b = 55 - 20 for b.
-7
Solve 0 = z - 2*z - 3 for z.
-3
Solve 0 = 210*u - 209*u - 1 for u.
1
Solve 0 = 4*p - 6 + 30 for p.
-6
Solve 95*w - 15 = 98*w for w.
-5
Solve 0 = h - 0*h + 3 for h.
-3
Solve 126*c = 132*c + 18 for c.
-3
Solve -54*k + 144 = -18*k for k.
4
Solve -4*b + 5*b = -3 for b.
-3
Solve -10 + 7 = -p for p.
3
Solve -28 = 4*v - 16 for v.
-3
Solve 6*i = 8 - 26 for i.
-3
Solve 5*v - 24 = 13*v for v.
-3
Solve -12*i + 23*i + 55 = 0 for i.
-5
Solve 7 = 7*s - 14 for s.
3
Solve 42*p - 84 = -42 for p.
1
Solve 16*w - 19*w = 0 for w.
0
Solve -12*k - 57 + 81 = 0 for k.
2
Solve 0 = -7*h + 4 + 24 for h.
4
Solve 6*r + 50 = 14 for r.
-6
Solve 114*j - 24 = 120*j for j.
-4
Solve 511*r + 6 = 510*r for r.
-6
Solve -7 = -6*m + 23 for m.
5
Solve -d = 99 - 101 for d.
2
Solve 8*p + p = 27 for p.
3
Solve -10*k - 3 = -11*k for k.
3
Solve 46 = -32*n - 274 for n.
-10
Solve 117 + 432 = -61*f for f.
-9
Solve 25 = 3*f + 19 for f.
2
Solve -5*o - 24 = 1 for o.
-5
Solve u - 242 + 237 = 0 for u.
5
Solve x + 18 = 16 for x.
-2
Solve 209*p - 45 = 218*p for p.
-5
Solve -26*c + 11*c = -60 for c.
4
Solve -6*y - 26 = -8 for y.
-3
Solve 8*z + 28 = 60 for z.
4
Solve 3*v + 8 - 2 = 0 for v.
-2
Solve 728*s - 12 = 724*s for s.
3
Solve 12*f = 18*f for f.
0
Solve -63*d + 54*d + 63 = 0 for d.
7
Solve -53*w + 4 = -54*w for w.
-4
Solve 458*r - 452*r + 24 = 0 for r.
-4
Solve -5*v = 2 - 17 for v.
3
Solve 0 = 14*l + 136 - 108 for l.
-2
Solve 45*c + 4 = 41*c for c.
-1
Solve 468*m - 459*m - 45 = 0 for m.
5
Solve -7*i + 9*i + 8 = 0 for i.
-4
Solve 112*m = 104*m + 32 for m.
4
Solve 7 - 7 = -28*r for r.
0
Solve -21*r + 17 = -4 for r.
1
Solve -5*f + 2*f + 14*f = 0 for f.
0
Solve 7*g - 14 = -35 for g.
-3
Solve -5*p - 4 = 1 for p.
-1
Solve 4*c + 26 = 10 for c.
-4
Solve -22*p = -25*p - 6 for p.
-2
Solve 4*j + j = 25 for j.
5
Solve 4*s + 60 = -8*s for s.
-5
Solve 5268*v - 5257*v = 11 for v.
1
Solve -37 = 2*f - 41 for f.
2
Solve -18*l = -10*l + 16 for l.
-2
Solve -873 = -120*d + 23*d for d.
9
Solve 38 + 109 = -21*x for x.
-7
Solve 138 = -178*a + 1028 for a.
5
Solve -49 + 89 = -8*y for y.
-5
Solve -2*o - 3 = -o for o.
-3
Solve 0 = -71*s + 59*s - 60 for s.
-5
Solve 2*r - 126 = -128 for r.
-1
Solve -38 = 14*r - 38 for r.
0
Solve -130 = -8*l - 154 for l.
-3
Solve -8*z + 5 = -3 for z.
1
Solve 7*l - 4 + 11 = 0 for l.
-1
Solve -32*k - 13 = -141 for k.
4
Solve -92 + 107 = 15*l for l.
1
Solve 0 = -10*u - 48 + 98 for u.
5
Solve 0 = -7*f + f + 24 for f.
4
Solve -5*a + 8 = -12 for a.
4
Solve 5*k = 11*k + 12 for k.
-2
Solve 3*p = 5*p - 2 for p.
1
Solve 463 - 383 = -8*h for h.
-10
Solve -386 = -7*a - 358 for a.
4
Solve 219 + 21 = -40*y for y.
-6
Solve -2*p - 4 = 2 for p.
-3
Solve 16*q - 25 - 7 = 0 for q.
2
Solve 114*i - 132*i = -36 for i.
2
Solve 0 = 15*n - 77 + 17 for n.
4
Solve 36 = 10*y - 4 for y.
4
Solve -22 + 22 = -12*c for c.
0
Solve 7*d - 28 = -42 for d.
-2
Solve 0 = -10*k - 32 + 22 for k.
-1
Solve 0 = b - 4 + 8 for b.
-4
Solve -68 = 10*l - 8 for l.
-6
Solve -78*b + 108 = -60*b for b.
6
Solve -163 = -26*w - 7 for w.
6
Solve 4*q + 37 = 25 for q.
-3
Solve -3*b - 30 = -13*b for b.
3
Solve -6 = -6*z + 12 for z.
3
Solve -17*q + 4*q = -104 for q.
8
Solve 20*t - 28*t = 16 for t.
-2
Solve 23*g - g = 44 for g.
2
Solve 1 = 9*a + 10 for a.
-1
Solve -2314*j + 20 = -2324*j for j.
-2
Solve -2*a + 40 = 38 for a.
1
Solve -5 = -3*x + 10 for x.
5
Solve 104*k - 124*k - 40 = 0 for k.
-2
Solve -7*p - 12 = 2 for p.
-2
Solve -q - 2*q - 6 = 0 for q.
-2
Solve -4 = 5*f - 14 for f.
2
Solve -30*n = -33*n - 12 for n.
-4
Solve -1266*j - 24 = -1272*j for j.
4
Solve -14*h + 22*h = -24 for h.
-3
Solve 85 = 11*k - 28*k for k.
-5
Solve 0 = -10*h + 5*h + 20 for h.
4
Solve -3*a + 10*a + 21 = 0 for a.
-3
Solve 0 = 11*v + 40 + 4 for v.
-4
Solve 11*k - 18 = -7 for k.
1
Solve 7*f + 20 = -3*f for f.
-2
Solve 47*u - 42*u + 15 = 0 for u.
-3
Solve -7 = -o - 4 for o.
3
Solve -7*d + 12 = -9 for d.
3
Solve 18*t + 153 + 27 = 0 for t.
-10
Solve 0 = 122*c - 115*c + 28 for c.
-4
Solve 3*f + 3 + 9 = 0 for f.
-4
Solve -h - 12*h = -52 for h.
4
Solve -20 = 14*f - 24*f for f.
2
Solve -417 = 8*n - 361 for n.
-7
Solve 37 - 11 = -13*h for h.
-2
Solve 10*c + 43 - 3 = 0 for c.
-4
Solve -2*k = 7 + 3 for k.
-5
Solve -7 = 36*l - 29*l for l.
-1
Solve -14*r = 27 - 13 for r.
-1
Solve 0 = 19*a - 4 - 53 for a.
3
Solve -261*w + 4 = -260*w for w.
4
Solve -w - 35 = -8*w for w.
5
Solve -402 = 10*y - 322 for y.
-8
Solve -147*a = -38*a + 872 for a.
-8
Solve 2671*i - 2657*i + 56 = 0 for i.
-4
Solve 42 = 4*p + 10*p for p.
3
Solve 10*f = -19*f + 116 for f.
4
Solve 4*i - 24 = -2*i for i.
4
Solve -9 = 4*l - 17 for l.
2
Solve 0 = 26*o - 66 - 64 for o.
5
Solve -14*h - 2 = -2 for h.
0
Solve 7*l + 35 = 70 for l.
5
Solve -16*a - 3 = -17*a for a.
3
Solve y = -y for y.
0
Solve -7*h + 20 = -3*h for h.
5
Solve -34*u = -11*u - 92 for u.
4
Solve 75 = 5*k + 80 for k.
-1
Solve 3 = -d - 0 for d.
-3
Solve -29*k - 425 = 56*k for k.
-5
Solve -30 = 2*c - 28 for c.
-1
Solve -8*x = -7 + 7 for x.
0
Solve 4*d - 2 = 6 for d.
2
Solve 10*l - 8 + 8 = 0 for l.
0
Solve 3*z - 2 = 10 for z.
4
Solve -3*h + 20 = 5 for h.
5
Solve 22*x - 72 = 16 for x.
4
Solve -23*x - 45 = -28*x for x.
9
Solve -19*y + 18*y - 2 = 0 for y.
-2
Solve 124 - 433 = -103*q for q.
3
Solve 9*q = 4*q + 5 for q.
1
Solve 34*f - 10*f - 120 = 0 for f.
5
Solve 25*p - 34 + 9 = 0 for p.
1
Solve 2*z - 5 + 5 = 0 for z.
0
Solve 0 = -3*y - 4 - 8 for y.
-4
Solve 14*z = 12*z for z.
0
Solve 9 = 3*r + 12 for r.
-1
Solve 30 + 80 = -22*a for a.
-5
Solve -185 + 61 = 31*u for u.
-4
Solve -8*m - 218 = -250 for m.
4
Solve -14*c + 5*c = 27 for c.
-3
Solve -15*p = 47 - 17 for p.
-2
Solve 147 = -11*j - 10*j for j.
-7
Solve 48 = 28*h - 36*h for h.
-6
Solve 16 + 36 = 13*q for q.
4
Solve -26*p = 33 + 19 for p.
-2
Solve -19*c - 36*c - 165 = 0 for c.
-3
Solve -3*f - 25 = -10 for f.
-5
Solve -611*n = -605*n - 12 for n.
2
Solve 0 = -4*k - k + 5 for k.
1
Solve 0 = 11*d - 7*d - 24 for d.
6
Solve -13*o = o + 13*o for o.
0
Solve 156*x = 151*x - 35 for x.
-7
Solve -24*o + 120*o = -384 for o.
-4
Solve 241 = 4*p + 225 for p.
4
Solve -15*f + 11*f - 4 = 0 for f.
-1
Solve 4221 = 2*i + 4223 for i.
-1
Solve -o = -12*o + 99 for o.
9
Solve 12*g - 7*g - 20 = 0 for g.
4
Solve -8 = 13*s - 21*s for s.
1
Solve 3*z = -5*z + 48 for z.
6
Solve 100 = 4*n + 21*n for n.
4
Solve -2*j - 86 = -82 for j.
-2
Solve 29*m - 415 = -154 for m.
9
Solve 32*g = 23*g + 9 for g.
1
Solve -1 = -3*t - 1 for t.
0
Solve 14*l = -81 + 25 for l.
-4
Solve -26 = 2*z - 32 for z.
3
Solve 20*g = -117 - 23 for g.
-7
Solve -11*d + 44 = 11 for d.
3
Solve 249 - 9 = 40*y for y.
6
Solve -68*o + 61*o = 0 for o.
0
Solve -6*r + 12*r = 24 for r.
4
Solve -37*r - 72 = -25*r for r.
-6
Solve 14*i = -3*i + 51 for i.
3
Solve 21 = 20*z - 17*z for z.
7
Solv
|
{
"pile_set_name": "DM Mathematics"
}
|
) = 9*v**2 + 19*v - 11. Let w(k) = 5*k**2 + 10*k - 6. What is g*a(m) - 11*w(m)?
-m**2 + 4*m
Let r be 32/336 + 2150/(-525). Let t(x) = 2*x**2 + 8*x + 1. Let k(u) = -2*u**2 - 7*u - 1. Determine r*t(l) - 5*k(l).
2*l**2 + 3*l + 1
Let d(u) = 39*u**3 + 2*u**2 + 5. Let n(k) = -79*k**3 - 3*k**2 + k - 13. Calculate -5*d(a) - 2*n(a).
-37*a**3 - 4*a**2 - 2*a + 1
Let u(s) = -1177*s - 4 + 0 + 3 + 1181*s. Suppose 3*l + 5*i - 4*i = 15, 5*i = 2*l - 10. Let j(h) = -4*h + 1. What is l*j(a) + 4*u(a)?
-4*a + 1
Let b(y) = 92*y**2 + 34*y + 2700. Let f(h) = 19*h**2 + 7*h + 541. Determine 6*b(i) - 29*f(i).
i**2 + i + 511
Let f(y) = 6*y**3 - 33*y**2 - 12*y + 85. Let d(t) = -6*t**2 - 2*t - 1. Calculate 6*d(l) - f(l).
-6*l**3 - 3*l**2 - 91
Suppose 0 = -2*k - k + 18. Suppose -4*b = -k*b + 10. Let s(h) = -16 + 37 - 25 + b*h - 2*h**2. Let m(a) = 2*a**2 - 4*a + 3. Give -5*m(w) - 4*s(w).
-2*w**2 + 1
Let u(f) = -f**2 + 2*f - 2. Let y be u(4). Let j(m) = -m**2 - 44 - 5*m - m - 2*m + 9*m + 89 - 46. Let t(l) = -8*l**2 + 10*l - 12. Calculate y*j(a) + t(a).
2*a**2 - 2
Let i(p) = -6*p - 933. Let z(q) = -q**2 + 7*q + 934. Give 5*i(k) + 4*z(k).
-4*k**2 - 2*k - 929
Let r(y) = -y**3 + 450*y**2 - 2*y + 1. Let v(z) = 2*z**3 - 448*z**2 + 3*z. Calculate -3*r(s) - 2*v(s).
-s**3 - 454*s**2 - 3
Let d = -16 + 11. Suppose 364*o + 1654 + 894 = 0. Let i(a) = -6*a + 3. Let s(l) = 4*l - 2. What is d*i(n) + o*s(n)?
2*n - 1
Let t(u) = -u. Let c(z) = 1. Let v = 110 - 83. Suppose -w - 2*w - 5*q + 71 = 0, 0 = w + 5*q - v. Suppose -w*h + 17*h = 20. Give h*c(k) - t(k).
k - 4
Let f(b) = b + 2. Let l(r) be the third derivative of 0*r - 1/6*r**3 + 1 - 1/24*r**4 - 25*r**2. Give -4*f(u) - 3*l(u).
-u - 5
Let u(o) = -26*o - 22*o + 47*o. Let c be 17/((-34)/(-12)) + 1/(-1). Suppose -2*x = -3*i, c*i - 16 = -0*i - 2*x. Let m(r) = -3*r + 1. What is i*u(k) + m(k)?
-5*k + 1
Let s(h) be the first derivative of -h**2/2 + h - 3910. Let j(r) = 7*r - 6. Determine 6*j(u) + 39*s(u).
3*u + 3
Let s = -68 - -670. Let d(g) = -600 - s + 1203. Suppose 0 = i - 1 + 2. Let k(c) = c. What is i*k(u) - 2*d(u)?
-u - 2
Let f(p) = 87*p**2 + 17. Let g(r) = -29*r**2 - 6. Suppose -99*y = -185*y + 98*y + 48. Determine y*f(h) - 11*g(h).
-29*h**2 - 2
Let u(z) = -14*z**3 + 5*z - 11. Suppose 12*y + 47 = 23. Let h be (-1 + y + 25)/(16 + -18). Let v(k) = -5*k**3 + 2*k - 4. Calculate h*v(d) + 4*u(d).
-d**3 - 2*d
Let f(d) = 98*d**3 - 5*d**2 + 59*d - 5. Let t(j) = 47*j**3 - 3*j**2 + 32*j - 3. Calculate -3*f(p) + 5*t(p).
-59*p**3 - 17*p
Let p(h) = -1147*h - 13. Let o(d) = 578*d + 8. What is 5*o(k) + 3*p(k)?
-551*k + 1
Let w(b) = -527*b**2 - 2*b - 3. Let n(a) = -2*a**2 + 3. Determine 2*n(y) + w(y).
-531*y**2 - 2*y + 3
Let l(b) = 2*b + 3*b + 6 + 4*b - 8*b. Let g be l(-5). Let y(u) = u**2 - u. Let v(n) = -3*n**2 - 4*n - 18 + 18 + 4*n**2. Give g*v(a) - 3*y(a).
-2*a**2 - a
Let t(q) = 1501*q - 1. Let z(g) = 1470*g - 1. What is -7*t(c) + 6*z(c)?
-1687*c + 1
Let l(d) = 4*d**2 - 8*d + 279. Let u(i) = -i**2 + 4*i - 1. Calculate -l(q) - 2*u(q).
-2*q**2 - 277
Let b(f) = 10*f**2 + 35*f + 3304. Let y(h) = 5*h**2 + 21*h + 1651. What is 3*b(u) - 5*y(u)?
5*u**2 + 1657
Suppose 49 = -4*m + 5*t, 0 + 10 = 2*t. Let v(i) be the third derivative of 5*i**4/8 + 2*i**3/3 + 2*i**2 + 56*i. Let q(h) = 8*h + 2. Calculate m*v(c) + 11*q(c).
-2*c - 2
Let c(r) = r**3 + r**2 - 6*r - 1. Let l(i) = 3*i**3 + 6*i**2 - 36*i + 283. Give -6*c(b) + l(b).
-3*b**3 + 289
Suppose 5*v + 5*z - 95 = 0, z = 2*v + 6*z - 32. Let t(b) = -12 - 5 - 6 + v + 3*b. Let j(n) = n - 1. Give -4*j(c) + t(c).
-c + 2
Let j(q) = -60*q + 831. Let l be j(14). Let o(r) = -r**3 - 4*r**2 - 7. Let w(k) = 5 - 4*k - 20 - 2*k**3 + 4*k - 9*k**2. Calculate l*o(s) + 4*w(s).
s**3 + 3
Let z(l) = 25*l. Let w(n) = -n + 2*n + 0*n. Suppose -60*y = -35*y + 20*y + 42*y + 1740. What is y*w(r) + z(r)?
5*r
Let x = 27 - 23. Let n(j) = -15*j - 3 - 2 + 14*j + 5 - 2. Let s(u) = -5*u + 4. Let r(k) = -2*k + 2. Let d(y) = -7*r(y) + 3*s(y). Determine x*d(h) - 3*n(h).
-h - 2
Let o(t) = 384*t - 62. Let a(k) = -480*k + 77. Give 9*a(s) + 11*o(s).
-96*s + 11
Let f(g) = 3*g**3 - 4*g**2 + 4*g + 2. Suppose 5*y + 5*v = 30, 2 = -22*y + 24*y - 3*v. Let r(b) = b**2 - b. Calculate y*r(h) + f(h).
3*h**3 + 2
Let z(u) = -2*u**3 - 637. Let n(t) = 5*t**3 + 1274. What is 3*n(j) + 7*z(j)?
j**3 - 637
Let u(b) = -b. Let a(i) = -1 - 4 - 2*i + 9 - 6. Let s = -32 + 17. Let x = 19 + s. What is x*u(t) - a(t)?
-2*t + 2
Let r(z) = z**3 - z + 1. Let s(a) be the first derivative of -15*a**4/4 + a**2 - 2*a + 310. Calculate 4*r(y) + 2*s(y).
-26*y**3
Let x(s) = -3*s**2 - 6*s + 242. Let a(n) = -8*n**2 - 17*n + 724. Give 6*a(c) - 17*x(c).
3*c**2 + 230
Let g(m) = 9*m**3 - 11*m**2 + 5. Let u(d) = -5*d**3 + 6*d**2 - 3. Let x be -2 - (1 + 2*4). Let z be 3 - ((-3)/4)/(118/(-1416)). What is x*u(l) + z*g(l)?
l**3 + 3
Let w(m) = 45*m - 5. Let v(k) = 9*k - 1. Let y(s) = 30*s - 11. Let t = 248 - 248. Let g be y(t). Calculate g*v(q) + 2*w(q).
-9*q + 1
Let i(n) = 15*n**2 - 17*n + 8. Let k(a) = 10*a**2 - 11*a + 5. Suppose 0 = -4*t + 5*x + 33 - 13, -2*t = -2*x - 10. Give t*i(j) - 8*k(j).
-5*j**2 + 3*j
Let g(y) = y + 1. Suppose 2*f + 4*d = -12 - 8, -2*f + 2*d = -4. Let q be 12/6 - (7 + f). Let c(b) = 1. What is q*c(p) + g(p)?
p - 2
Let n(z) = z - 1. Let y(u) = 4*u**2 - 7*u + 2. Let x(c) = 11*c**2 - 20*c + 7. Let q(p) = -3*x(p) + 8*y(p). Determine -9*n(d) + 2*q(d).
-2*d**2 - d - 1
Let f(s) = -12*s**2 - 8*s + 4. Suppose -70 = 8*n + 34. Let w(m) = -m**2 + 3*m + 202. Let z be w(n). Let a(x) = 23*x**2 + 15*x - 7. Determine z*a(g) - 11*f(g).
-6*g**2 - 2*g - 2
Let m(d) = 9*d - 1. Let z(k) = -15*k**2 + 17*k - 1. Give 2*m(v) - z(v).
15*v**2 + v - 1
Let h(u) = 29*u - 5. Let o(p) be the second derivative of 19*p**3/6 - 3*p**2/2 + p + 1104. Determine -5*h(w) + 8*o(w).
7*w + 1
Let n(g) = -2*g**2 - 111*g + 3. Let w(i) = 2*i**2 - i - 1. What is n(v) + 2*w(v)?
2*v**2 - 113*v + 1
Let c(n) = 5401*n**2 + 65*n. Let f(t) = 40508*t**2 + 494*t. Calculate 38*c(g) - 5*f(g).
2698*g**2
Let k(h) = 4*h**3 - 16*h**2 - 91*h + 10. Let g(l) = 4*l**3 - 20*l**2 - 90*l + 12. Calculate 4*g(c) - 5*k(c).
-4*c**3 + 95*c - 2
Let h(b) = -2*b - 7. Let d(l) be the second derivative of l**3/6 + 2*l**2 + 4*l - 799. Give 5*d(u) + 3*h(u).
-u - 1
Let o(y) = 7*y. Let u = -1776 - -7004. Let m(l) = 5228 - 112*l - u. Determine 3*m(n) + 49*o(n).
7*n
Let u(o) = -26*o**3 + 18*o**2 + 8*o - 4. Let i(a) = 26*a**3 - 19*a**2 - 10*a + 5. Give 4*i(z) + 5*u(z).
-26*z**3 + 14*z**2
Let x(c) = -9*c**2 + 3*c + 23. Let s(y) = 4*y**2 + 7*y + 306. Let j(g) = g**2 + 3*g + 124. Let n(d) = -5*j(d) + 2*s(d). What is 17*n(w) + 6*x(w)?
-3*w**2 + w + 2
Suppose 0 = 4*r + 2*r - 12. Suppose -11*k + 4144 = 4045. Let w(h) = 36*h**2 + 9*h + 9. Let g(c) = -9*c**2 - 2*c - 2. Determine k*g(n) + r*w(n).
-9*n**2
Let j be 4/(-18) - (-1329)/27. Let k(z) = 26*z - j*z - 3 + 3. Let x(f) be the second derivative of 2*f**3/3 + 6*f - 10. Determine -4*k(w) - 22*x(w).
4*w
Let u(g) = -39*g**3 - 26*g**2 + g + 4. Let n(h) = 9*h**3 + h**2 - 1. What is 4*n(y) + u(y)?
-3*y**3 - 22*y**2 + y
Let q(l) = -7*l**2 - 7*l - 31. Let b(y) = 12*y**2 + 13*y + 49. Let i(w) = -3*b(w) - 5*q(w). Let u(z) = -2*z**2 - 11*z + 23. What is 8*i(v) - 3*u(v)?
-2*v**2 + v - 5
Suppose -5*f = 3*x + 19, -f = -x - 0 + 7. Let u be (3 - 2 - f) + -2. Let s(l) = -542*l + 271*l + 1 + 277*l. Let n(o) = o + 1. What is u*n(g) - s(g)?
-2*g + 3
Let s(i) = -17 - 32*i + 19 + 35*i. Let h(u) = -16*u - 10. Suppose 3*r - r - 5*g - 10 = 0, -44 = -4*r - 2*g. Let q be (22/4)/((-5)/r). What is q*s(b) - 2*h(b)?
-b - 2
Let d(v) = v + 1. Let c(a) = -a**3 + 4*a**2 - 3*a + 5. Let p be c(3). Let k(w) = 4 + 4*w - p + 7. Let u(s) = 6*s. Let n be u(-1). Calculate n*d(m) + k(m).
-2*m
Let j(b) = 3*b**3 + b**2 - 6*b + 12. Let k(f) = 2*f**3 + f**2 - 2*f + 7. Calculate -4*j(q) + 7*k(q).
2*q**3 + 3*q**2 + 10*q + 1
Let r be (24/(-192))/((-4)/32). Let w(n) = n**2 - n. Suppose 2*l + 20 = -2*l. Let t(i) = 6*i**2 - 6*i. Calculate l*w(j) + r*t(j).
j**2 - j
Let c(p) = 1612001*p**3. Let r(j) = 3167*j**3. Determine 3*c(w) - 1526*r(w).
3161*w**3
Let y(o) = 29808*o - 7452*o - 7450*o - 7453*o + 17 - 7455*o. Let j(c) = -5*c + 35. Calculate -4*j(k) + 9*y(k).
2*k + 13
Let p(d) = d + 1. Let k(y) = -3*y + 6. What is 3*k(v) - 3*p(v)?
-12*v + 15
Let b(g) = -9*g**3 - 20*g**2 - 9*g -
|
{
"pile_set_name": "DM Mathematics"
}
|
2/10. Let j be (1 + 1 - 5)*(-6)/g. Sort -3, v, j in descending order.
j, -3, v
Let l = 484 + -483. Sort -14, l, -3, 0 in descending order.
l, 0, -3, -14
Let m(f) = 7*f - 6*f - 8*f + f**2 - 6*f + 19. Let b be m(13). Let p = b - 23. Put 6/5, p, 2 in descending order.
2, 6/5, p
Let a = -4.3 - -5. Let k = 0.4 - a. Let c be ((-45)/(-25))/(-3)*1. Sort k, 0.3, c in descending order.
0.3, k, c
Let g = -9 - -16. Let o = 0.319 - 0.049. Let a = o - 0.37. Put a, g, -1 in descending order.
g, a, -1
Let q = 78 - 54. Let b = q + -30. Let c(t) = t**2 + 7*t - 5. Let k be c(-7). Sort b, 2, k.
b, k, 2
Let q(h) = 4*h**2 + 6*h - 7. Let r be q(1). Suppose 7*w - r = 25. Put -20, w, 2 in descending order.
w, 2, -20
Let s be ((-8055)/25 + -4)*1. Let y = 325 + s. Put -0.5, 0.2, y in descending order.
0.2, -0.5, y
Let l = -5.0581 + 0.0581. Sort 2, -7, l, -1 in ascending order.
-7, l, -1, 2
Suppose 216 + 108 = -6*x. Let q = 59 + x. Sort 2, 4, 3, q in descending order.
q, 4, 3, 2
Suppose -2*l = -c - 46 + 32, 3*c - 3*l + 24 = 0. Let v be (-1)/(1/(-10)) + -2. Put v, 1, c in decreasing order.
v, 1, c
Let x be -1*2 + (-330)/(-150). Sort x, -2/7, -74 in descending order.
x, -2/7, -74
Let y = -27 - -23.7. Let i = y - -5.9. Let v = 2.4 + i. Put 0.4, v, 1 in descending order.
v, 1, 0.4
Let o = -26 - -46. Let i = o - 33. Let u = 258 - 254. Sort -4, u, i.
i, -4, u
Let t = 998 - 1003. Let m = 3 + -4. Put t, m, 1, 2 in decreasing order.
2, 1, m, t
Let g(u) = -u**2 + 21*u + 55. Let i be g(23). Put -2, -3, i, 3 in descending order.
i, 3, -2, -3
Let t = 3 - 7. Let k = -37 - -39. Suppose -k*z + 3 = 7. Put z, t, 9 in increasing order.
t, z, 9
Suppose g + 0 + 1 = 0. Let k = 74 + -50. Let x be k/(-15) - (-2 - 12/(-5)). Put g, x, 1 in ascending order.
x, g, 1
Let n = -587 + 570. Sort 6, -4, n, -3 in ascending order.
n, -4, -3, 6
Let u be ((-2)/(-6))/(1/(-3)). Suppose -4*f + 3 - 23 = 0. Put u, -4, 4, f in decreasing order.
4, u, -4, f
Let g be 2 + (3 - -1) + 1. Suppose -8*i - 9 = g. Put i, 12, -3 in descending order.
12, i, -3
Let v(b) = -2*b**3 - 15*b**2 + 4*b + 136. Let s be v(-6). Let z = 1.1 - 1. Put z, 2/5, 1/5, s in decreasing order.
s, 2/5, 1/5, z
Suppose -23*z + 171 = -32*z. Sort -5, 4, z.
z, -5, 4
Let m(i) = -i**2 - 18*i - 40. Let t be m(-15). Sort 0, 8, t, -5 in descending order.
8, t, 0, -5
Let s = 168 - 171. Put s, -1/9, 0.39, -4 in descending order.
0.39, -1/9, s, -4
Let h = 0.3 - 0.4. Let w = 141 + -142. Sort 1/2, h, w in increasing order.
w, h, 1/2
Let q be (2/(-1))/(2/(-3)). Suppose 19 = 6*x + 229. Let c be (42/x)/(3/10). Sort -5, q, c in decreasing order.
q, c, -5
Let t = 15 + -10. Suppose -2*z = 2*o - 10, 8 = -t*o - 3*z + 27. Suppose 0 = 5*q + 17 - o. Sort -5, -2, q.
-5, q, -2
Let o = -264 + 269. Sort 3, -17, -1, o in increasing order.
-17, -1, 3, o
Let r(h) = -2*h**3 + h**2 - 7*h + 6. Let j(i) = -3*i - 22. Let x be j(-9). Let y be r(x). Let g = y + 1784/7. Put g, 0.5, 5 in decreasing order.
5, g, 0.5
Let y be 1/(1 + (-12)/16). Suppose -6 = x - y*x. Let q be 28/(-12)*x/7. Sort 3, -5, q in decreasing order.
3, q, -5
Let w = -19 - -34.2. Let d = -0.019 - -15.019. Let h = w - d. Sort -0.2, 0.1, h in ascending order.
-0.2, 0.1, h
Let g be (-24)/(-42) + (-60)/35*-3. Put g, 1, 1/4 in decreasing order.
g, 1, 1/4
Let i = 0 + -1. Let m be (0 - 1/2)/((-1)/4). Let q = 3 + m. Sort i, q, -6 in decreasing order.
q, i, -6
Let n be ((-8)/(-12))/(8/(-12))*-5. Suppose 0 = -5*m + 9 + 6. Put n, -2, m in decreasing order.
n, m, -2
Let r = -10 + 11.8. Let p = 1.8 - r. Put 5, p, -0.04 in descending order.
5, p, -0.04
Let o(g) = 0 + 12 - 5*g - 7. Let i be o(2). Let v = -10 - -15. Put -2, i, v in descending order.
v, -2, i
Suppose 49 = p + 2*z, 5*p - z - 2*z = 180. Sort 2, -2, p, 3.
-2, 2, 3, p
Suppose 4 = -2*t + 6*t. Let s = t + -3. Let d = 0.5 + -0.3. Sort s, d, -0.3 in increasing order.
s, -0.3, d
Let o be (-84)/56*4/(-3). Sort -2, 5, o, -3 in increasing order.
-3, -2, o, 5
Suppose 136 = 2*y + 4*h, 0*y + 2*y - 5*h - 100 = 0. Let a be 8/y - (-58)/15. Sort -3, 2, a in descending order.
a, 2, -3
Let u = 17.75 - 18.3. Sort -0.5, u, 0, -4 in ascending order.
-4, u, -0.5, 0
Let g = 977 - 982. Sort 3/5, g, -0.02, -0.2 in increasing order.
g, -0.2, -0.02, 3/5
Let u be (-351)/51 - -2 - (-16)/(-136). Put u, -3, -8 in decreasing order.
-3, u, -8
Let b(i) = -2*i**3 + 4*i**2 - 4*i + 11. Let r be b(2). Put -5, 0, 2, r in ascending order.
-5, 0, 2, r
Suppose -5*j = -10*j + 7*j. Sort 2, 3, 14, j in decreasing order.
14, 3, 2, j
Let l = 1 + -1. Suppose 72 = 19*z + 15. Put l, -3, z, -5 in descending order.
z, l, -3, -5
Suppose 2*j + 3*c = -10, 3*j + 2*c = 5*c. Put -6, 2, -5, j in descending order.
2, j, -5, -6
Let x = -8 - 59. Let p = x - -53. Sort -4, 2, -1, p in decreasing order.
2, -1, -4, p
Let w be 1*-1*3 - (-273)/78. Put -2/13, w, -18 in descending order.
w, -2/13, -18
Let c(n) = -n + 36. Let k be c(0). Let t = k - 27. Suppose -3*r + 4*r = 2*b - t, 5*b - 18 = r. Sort r, 1, 4 in descending order.
4, 1, r
Let m be (-56)/28 - (-9)/(-3). Put 0.5, m, 0.67 in descending order.
0.67, 0.5, m
Let l = 6 + -9. Let s = -80.66 - -80. Let t = s + 0.16. Put t, -5, l in ascending order.
-5, l, t
Let c = 8 + -6.96. Let i = -0.54 + c. Sort 1, -0.1, i, -3 in ascending order.
-3, -0.1, i, 1
Let j(x) = -x + 1. Let z be j(-1). Suppose 3*l + z - 5 = 0. Let g be (-6)/(-2) - 2 - l. Sort 4, 3, g.
g, 3, 4
Let p = 4.63 + -5.13. Put -1/9, -3/10, p in ascending order.
p, -3/10, -1/9
Let p(o) = 6*o**2 + 47*o - 10. Let d be p(-8). Sort -537, 0, d, 5 in ascending order.
-537, d, 0, 5
Let n = 7.08 + -0.08. Let t = -15.5 + n. Let p = -9 - t. Put p, 2, -0.3 in decreasing order.
2, -0.3, p
Let z be (2/4)/(4/22838). Let k = z - 2882. Let n = -27 - k. Sort n, -4, 4/3 in descending order.
4/3, n, -4
Let y = 2 - -3. Let a be ((-2)/(-3))/(6/45). Suppose 6*k = k - a. Put k, -8, y in descending order.
y, k, -8
Let r = 140 - 35. Let s be ((-4)/5)/(14/r). Let p = s - -9. Sort 4, -5, p in descending order.
4, p, -5
Let t = 0 + 10. Let l = -10.07 + t. Let y = 0.23 - l. Sort 0.1, y, 3 in decreasing order.
3, y, 0.1
Let w(q) = 7*q**2 - 2*q + 1. Let m be w(1). Let o be (-19)/(-7) + m/21. Let l be (-1 - -3)*-1 + 1. Sort o, l, 4 in increasing order.
l, o, 4
Let h be 2 + (-56)/80*2. Sort h, 7, -4, 0.2.
-4, 0.2, h, 7
Let c(g) = -3*g - 16. Let x be c(-7). Suppose s = x*s. Sort 3, 2, s in decreasing order.
3, 2, s
Let q = -95 - -108. Suppose -t + c - 6*c + 17 = 0, 59 = 5*t - c. Let h = t - q. Put 4, 1, h in descending order.
4, 1, h
Let c(n) = 9*n - 41. Let l be c(5). Let b be (2 - 0)/(3*(-12)/234). Sort b, -1, l, -3.
b, -3, -1, l
Suppose 33*n - 34*n = -14. Suppose n*x = 7*x. Let y = -11 - -7. Sort y, x, -1 in decreasing order.
x, -1, y
Suppose -2*r - 25 = 5*f, -150*f - 25 = -4*r - 145*f. Sort -1, 13, r, 7 in increasing order.
-1, r, 7, 13
Suppose -9*o - 128 + 38 = 0. Suppose 2*z - z + 5*a = -1, 3*a = -z + 5. Let m be 66/(-110) + z/o. Put -18, m, -3 in ascending order.
-18, -3, m
Let o be ((-9 - -7)/2 - 4) + 2. Let g = -0.06 - -0.46. Sort g, o, 1/6 in descending order.
g, 1/6, o
Let d = 9/2 - 6. Let j = -0.613 + 0.313. Sort d, j, 2/31 in ascending order.
d, j, 2/31
Let d(r) = 6*r - 4. Let s(q) = q. Let l(z) = -d(z) + 2*s(z). Let t be l(2). Let f = 0 - -2. Sort -2, t, f in increasing order.
t, -2, f
Let s = -7.786 - -0.086. Let z = s + 8. Let q = -4.9 - -5. Sort q, 4, z.
q, z, 4
Let s be (-4)/(0 + 0 + 2). Let i be (25/(-5) - -6)*s. Sort 0, i, -1, 6 in descending order.
6, 0, -1, i
Let p = -2/25 - -12/25. Suppose -4*u = 2*u - 1284. Let w = -2780/13 + u. Sort p, w, 4.
w, p, 4
Suppose 5*j + 124*f = 127*f + 12, -4*f - 8 = -4*j. Sort j, 2, 4, 0 in increasing order.
0, 2, j, 4
Let w(k) = 4*k - 45. Let o be w(15). Let a be (o - 10)*2/55. Put -2, a, -0.5 in increasing order.
-2, -0.5, a
Let o = 67/18 + -56/9. Let c = 3 - 3. Let f = 4 + c. Sort -4, o, f.
-4, o, f
Let b be (-4)/6*(-3 - 135/(-18)). Sort 5, b, 19 in descending order.
19, 5, b
Suppose 0 = j + 2, -2*j + 18 = -4*d - 7*j. Suppose 11*a + 72 = 5*a. Let k be 4/a*(-4 + 1). Put k, -6, d in decreasing order.
k, d, -6
Let x = -207/422 - 2/211. Let q be 35/28 + (-21)/(-12) + -2. Sort x, -5, q, 0.4 in increasing order.
-5, x, 0.4, q
Let m(l) = -6*l**2 + 36*l + 1. Let t be m(6). Put t, -1, -3, 7 in decreasing order.
7
|
{
"pile_set_name": "DM Mathematics"
}
|
sqrt(833)))**2).
-11191 - 1680*sqrt(17)
Simplify 1 + -2 + -6*(5 + sqrt(384)/(sqrt(8) + (sqrt(144)/sqrt(3))/sqrt(6) + sqrt(8) - sqrt(8))) + 1.
-30 - 12*sqrt(3)
Simplify ((0 + (-1 + sqrt(288)*-2*-1 - (-3 + 0 + sqrt(288) + -1)))*5 + 4)**2.
2280*sqrt(2) + 7561
Simplify (-3*1*sqrt(3888)*2*-2)**2 - (1 + (-4*(sqrt(3888) + -1 + sqrt(3888)) + sqrt(3888) - (sqrt(3888) + 0)*4)**2).
3168*sqrt(3) + 89407
Simplify ((sqrt(110)/(sqrt(10)/sqrt(2)))/(sqrt(2) + -6*sqrt(18) + sqrt(2) - sqrt(2)) - (((sqrt(22) + sqrt(550))*1)/sqrt(2) + 4))**2.
824*sqrt(11)/17 + 121323/289
Simplify (-2 + sqrt(567) + -5 + 0 + 0 - (0 + 5*(5 + (1 + sqrt(567) - sqrt(567)))))**2.
-666*sqrt(7) + 1936
Simplify (((0 + sqrt(272)*1 - (sqrt(272)*-2 + 0) - -5*(0 + sqrt(272))*1) + 5)*2)**2.
1280*sqrt(17) + 69732
Simplify ((sqrt(2299) + 2*(sqrt(2299) - (2 + sqrt(2299))) + sqrt(2299) - (3 + sqrt(2299) + 0))*-5 + -1 + 4)**2 + -1.
-4180*sqrt(19) + 58918
Simplify 4 + (3*(sqrt(544) - sqrt(544)*-1))/((1*sqrt(1936))/sqrt(8)) + 4.
8 + 24*sqrt(17)/11
Simplify 3 + (1*(sqrt(1216) + 5 - sqrt(1216))*2 - (5 + sqrt(1216)*-5)*-5)**2.
-14000*sqrt(19) + 761228
Simplify (5*(-2 + sqrt(192)*3 - (sqrt(192) + ((sqrt(192) - (sqrt(192) + 2)) + sqrt(192))*-2 + sqrt(192)))*-3)**2*-1.
-396900 + 64800*sqrt(3)
Simplify (sqrt(24) - (sqrt(1944)*-2 + sqrt(1944)))/(sqrt(3) - -2*(sqrt(3) - (sqrt(48) - sqrt(3)))) + -3 + 5.
-20*sqrt(2)/3 + 2
Simplify (5*(sqrt(35)/sqrt(5) + -4 - (sqrt(343) + -2) - -2*(sqrt(7) + (sqrt(7) + sqrt(7) + (sqrt(7) - 3*sqrt(7)))*-1 + sqrt(7) - sqrt(7)))*-1)**2.
400*sqrt(7) + 2900
Simplify (((2*sqrt(1600))/(sqrt(2) - (-2*sqrt(6))/sqrt(3)))/(1*sqrt(484) - (sqrt(168)/sqrt(7))/sqrt(6)))**2 + 2.
26/9
Simplify -2*(((sqrt(2057) + -1 + -1 - (5 + -1*sqrt(2057) + sqrt(2057))) + 2)**2 + 4).
-4172 + 220*sqrt(17)
Simplify ((-1*sqrt(152)*-2)/((sqrt(32) + sqrt(8))*-4) + 2*(0 + -2 + sqrt(684) + 1))**2.
-142*sqrt(19)/3 + 95923/36
Simplify -4*2*(2*sqrt(21)/sqrt(3) - (-3*sqrt(63) + sqrt(7))) + 3.
-80*sqrt(7) + 3
Simplify sqrt(13) + (sqrt(65)/sqrt(5) + 4)**2 - (sqrt(13) + 4 + 0) - (sqrt(26)/(sqrt(4)/sqrt(8))*-2)**2.
-183 + 8*sqrt(13)
Simplify (sqrt(816) + sqrt(816) + sqrt(816)*-1*-3 + 1*sqrt(816)*1)/((5*sqrt(120)/sqrt(5))/sqrt(8)*-5).
-24*sqrt(17)/25
Simplify (-4*-2*sqrt(120)/sqrt(100))/(1*sqrt(80)/(sqrt(392) + -3*sqrt(392))).
-112*sqrt(3)/5
Simplify (4*(sqrt(99)*2 + sqrt(99) - sqrt(99))*-6)/(((sqrt(432) + sqrt(27))*6)/sqrt(3)).
-8*sqrt(11)/5
Simplify (-1 + sqrt(343)*-1 + sqrt(343) - sqrt(343))**2*6 + (1*(sqrt(84) - (sqrt(84) + -1*sqrt(84))))/(-1*sqrt(12)*2).
167*sqrt(7)/2 + 2064
Simplify -6*(3 + (sqrt(700) + (sqrt(700) - (3*sqrt(700) + sqrt(700))) + 4 + (sqrt(700) + 0 + sqrt(700))*4 + sqrt(700) + 2)**2*2).
-412050 - 10080*sqrt(7)
Simplify -2 + ((2*sqrt(2299)*-6 - sqrt(2299)) + -2 + sqrt(2299)*-1 + -5*(-4 + sqrt(2299) + 2) + -1)**2.
-2926*sqrt(19) + 829986
Simplify sqrt(1573)*1*-5 + -6*(sqrt(1573) + -1) + -2 + (sqrt(1573) + 0)**2 + 1.
-121*sqrt(13) + 1578
Simplify (sqrt(3024) - -5*(sqrt(3024)*4 + sqrt(3024)) - sqrt(3024))/((3*sqrt(504))/sqrt(8)).
100*sqrt(3)/3
Simplify (5*-1*-1*(-1 + sqrt(75)) + 2*(-4 + (sqrt(75) + 2 + sqrt(75) + sqrt(75) - sqrt(75)) + 3))**2.
-270*sqrt(3) + 6084
Simplify (-4 + (2*(-1*((sqrt(132) - (sqrt(132) + sqrt(132)*-1 + sqrt(132))) + sqrt(132)) + sqrt(132)))/(sqrt(30)/(2*sqrt(10)*-4)))*-3.
12
Simplify (4 + (-4 + -5*(sqrt(2299) - ((0 + sqrt(2299) - sqrt(2299)) + sqrt(2299) + -4 + sqrt(2299))))*4)*-4.
-880*sqrt(19) + 368
Simplify (-2*-3*(5*(sqrt(300) + 2*sqrt(300)) + 5*(sqrt(300) + -1 - sqrt(300)))**2 + 2)*3.
-27000*sqrt(3) + 1215456
Simplify -1 + (((sqrt(441)*-2 - sqrt(441)) + sqrt(441))*1)/(-2*sqrt(28) - (sqrt(168)/sqrt(3))/sqrt(8))*-3 + -3.
-18*sqrt(7)/5 - 4
Simplify (((sqrt(297) + ((sqrt(297) - 2*sqrt(297)) + sqrt(297) + sqrt(297) - sqrt(297))*5 + sqrt(297))*-6)/((-1*sqrt(99)*1)/(-1*sqrt(1089))))**2.
470448
Simplify (sqrt(27)*-1 + -4 + 0)**2 + ((sqrt(210) - (sqrt(210) - sqrt(210)*1))/sqrt(7))/(sqrt(10) - -2*sqrt(10)*2).
121*sqrt(3)/5 + 43
Simplify -4*(-5 + 3 + 5*(5*sqrt(192)*-1*5 + 5)**2).
-2400492 + 40000*sqrt(3)
Simplify -3*(2 + (sqrt(405) - (sqrt(405) + -1 + sqrt(405))**2))*1 + (sqrt(405) + -2 + sqrt(405) + 3 - (sqrt(405)*1*3 - sqrt(405))**2).
-117*sqrt(5) + 3238
Simplify (((-4*(sqrt(300) + -2*sqrt(300)))/(2*sqrt(810)))/(6*(sqrt(10) - sqrt(30)/sqrt(3)*6 - sqrt(40)*-2)))**2.
1/243
Simplify (1*((sqrt(200)*1*-4 - (sqrt(200) + -1 + -5)) + (sqrt(800) - -2*sqrt(800))*4)*4)**2.
36480*sqrt(2) + 1155776
Simplify -6*((-4*(4*(sqrt(76) + sqrt(76)*-1 + sqrt(76)) + (-1*-2*sqrt(76) - sqrt(76))))/((-5*sqrt(192)/sqrt(4))/(sqrt(1200)*2)))**2.
-729600
Simplify ((sqrt(204)*2 + sqrt(204) + sqrt(204))/(sqrt(21)/(sqrt(42)/sqrt(6))) - (6*sqrt(204)*-1)/(-3*sqrt(60)/sqrt(5))) + -4.
-4 + 6*sqrt(17)
Simplify (6*(-1 + sqrt(1584)))**2*1 + (-1*(-3*sqrt(1584) + 0 - sqrt(1584)))**2.
-864*sqrt(11) + 82404
Simplify (1 + (3 + sqrt(80))*4 + sqrt(5)*5*-5*6)*-4.
-52 + 536*sqrt(5)
Simplify (1*(-4*(sqrt(156) - (sqrt(156) - (sqrt(156)*2 - sqrt(156) - sqrt(156))))*-5)/((sqrt(900)*-1)/sqrt(3))*-1)**2*-3.
0
Simplify (6*(sqrt(40) + sqrt(80)/sqrt(2)) - sqrt(40))/(sqrt(288) - -2*sqrt(288) - sqrt(8)) - (3 + 1 + sqrt(405)*1 + sqrt(405) + 0 + sqrt(405) + -5)**2.
-3646 + 929*sqrt(5)/17
Simplify (-4*(sqrt(693) + -2*sqrt(693))/sqrt(11)*-3)/(sqrt(54)/(sqrt(18)/(sqrt(3) + (sqrt(15)/sqrt(5) - sqrt(3)) + sqrt(3) + sqrt(3) - sqrt(3)))*3).
-2*sqrt(7)
Simplify 5 + ((sqrt(832) + sqrt(832)*2 + -1)**2 + ((sqrt(832) - (sqrt(832) - (sqrt(832) + 1)**2) - sqrt(832)) + sqrt(832))*1)*-5*4.
-166435 + 640*sqrt(13)
Simplify -5*(-2 + 6*(sqrt(112) - (2 + sqrt(112) + -2 - sqrt(112))) + -3*((sqrt(112) + 0)*-5 - (sqrt(112) + ((sqrt(112) - (sqrt(112) + 1)) + sqrt(112))*-6)))**2.
-21440 - 3840*sqrt(7)
Simplify (-2 + -1*(sqrt(2448) + (sqrt(2448) - (sqrt(2448) + 2)*6)) + -6*-2*sqrt(2448) + (sqrt(2448) + (sqrt(2448) + -1 - sqrt(2448)))*-5 + sqrt(2448))**2.
4320*sqrt(17) + 352737
Simplify (((sqrt(3159) - (sqrt(3159) - sqrt(3159)*5))*-4)/(sqrt(30)/sqrt(250) - (sqrt(3) + sqrt(48) + (sqrt(48)*-2 - sqrt(48))))*-3)**2.
73125
Simplify ((sqrt(108) + 3*sqrt(108)*2)**2 - (sqrt(243) - ((sqrt(243) + 1)**2 + 1))) + (sqrt(162)/(-2*sqrt(9)))/(sqrt(6) - sqrt(66)/sqrt(99)).
33*sqrt(3)/4 + 5537
Simplify ((4 + 1 + sqrt(720) + 5)*2)**2 - ((2 + (sqrt(720)*-1 - sqrt(720)) + -1)**2 + -2).
401 + 1008*sqrt(5)
Simplify -5 + ((1*(sqrt(19) + 1) + sqrt(19))*-6)**2 - (((sqrt(228) + 1*sqrt(228) - sqrt(228))*-4 - sqrt(228))/(1*sqrt(12)*-2))**2.
144*sqrt(19) + 10593/4
Simplify (((sqrt(180) - (4 + sqrt(180))*6) + 5*sqrt(180) + 4 + sqrt(180) + 4)*2)**2.
-768*sqrt(5) + 1744
Simplify (-3 + 4 + -1 + sqrt(1700) + -1 + 4*(sqrt(1700) - ((sqrt(1700)*-2 - sqrt(1700)) + sqrt(1700))))**2 + -2 + -5 + 1.
-260*sqrt(17) + 287295
Simplify (-1*(-4 + 5*(sqrt(1300) + -1*sqrt(1300)) + (1 + (1 + sqrt(1300) - sqrt(1300)) + sqrt(1300))*3))**2.
120*sqrt(13) + 11704
Simplify (4*(sqrt(65) + (-6*sqrt(65) - sqrt(65)))*-2)/(3*5*sqrt(45)).
16*sqrt(13)/15
Simplify (-3*sqrt(6655) - (sqrt(6655)*1 + sqrt(6655) + sqrt(6655)))/(4*sqrt(35)/((-2*sqrt(63))/sqrt(9))).
33*sqrt(11)
Simplify (-1*(2 + sqrt(1088) + 5 + sqrt(1088))*-3 + 1 + -4*sqrt(1088)*1 + sqrt(1088) + 1 + sqrt(1088) + (sqrt(1088)*-2 - sqrt(1088)) + sqrt(1088))**2.
736*sqrt(17) + 4881
Simplify ((0 + 2 + (6*sqrt(4860))/(sqrt(12)*-4))*-4)**2.
-864*sqrt(5) + 14644
Simplify 3*(1 + sqrt(192) + 0 + -2) + (2*1*sqrt(192)*-2*-2)**2.
24*sqrt(3) + 12285
Simplify ((4*sqrt(175) + sqrt(175))*-2 + -1 + (sqrt(4200) + (sqrt(4200) - -2*sqrt(4200)))/(2*sqrt(96)))**2.
90*sqrt(7) + 14176
Simplify -4*((sqrt(405)*-2*4)**2 - ((-1 + sqrt(405))*-5 + sqrt(405)) - (1*sqrt(405)*5 + 4)) + 4.
-103640 + 36*sqrt(5)
Simplify (-4*(-4*((0 + sqrt(605) + 1 - sqrt(605)) + 4 + -3 + sqrt(605)) + 1 + -5))**2.
16896*sqrt(5) + 157184
Simplify ((-1 + -1*sqrt(363) + -2*(-1 + sqrt(363)))*-1 + -3 + (sqrt(396)/(sqrt(12)*1) - sqrt(33))/(sqrt(132)/(sqrt(36)/sqrt(3))))**2.
-264*sqrt(3) + 3283
Simplify (-4*(0 + -3 + (sqrt(208) - (sqrt(208) + sqrt(208) + 2*sqrt(208) + -1 + sqrt(208)))) + 1)**2 + 1.
1152*sqrt(13) + 53330
Simplify (-2*1*sqrt(104) + sqrt(104) - (sqrt(104) + sqrt(104) + -6*6*sqrt(104)))/(sqrt(24)/(4*sqrt(3)) - (2*sqrt(392) + sqrt(8) + sqrt(8))).
-44*sqrt(13)/21
Simplify 5 + -6*-2*sqrt(7) + 4 + -5 + ((sqrt(700) - 2*sqrt(700)*5)
|
{
"pile_set_name": "DM Mathematics"
}
|
69. Let a be -2 + (-2 - -4 - -2). Let u(s) = s - 3 - s**o - 3 - a*s**2 - s**2 + 4. Give u(-3).
-5
Let a(k) be the first derivative of -k**4/2 - 2*k**3/3 + k**2/2 - 2*k + 55. Give a(-2).
4
Let n(v) = -95*v + 137*v**3 + 11*v**2 - 15 + 82*v - 136*v**3. Calculate n(-12).
-3
Let m(r) = r**3 + 9*r**2 + 17*r + 70. Let b be m(-8). Let c(g) = g**2 + 4*g + 3. Give c(b).
-1
Let j(l) = 101 + 90 + l - 188. What is j(5)?
8
Let i(b) = -b**2 + 19*b - 22. Let f be (-6)/(3 + (-221)/65). What is i(f)?
38
Let g(i) = -i**2 + 12*i - 32. Let h = -767 + 771. Give g(h).
0
Suppose 4*s + 2 = 6. Let p(f) = 570*f**2 - 4 - 580*f**2 + 3 + f. What is p(s)?
-10
Let h(v) = 13*v + 25. Let r be h(-2). Let q(d) = 8*d - 1. Calculate q(r).
-9
Let w(v) = -16 - 4*v + 29*v - 24*v. What is w(11)?
-5
Suppose -43*y + 47*y - 16 = 0. Let f(t) = -3*t + y*t - 10 + 12 + 0*t. Suppose -2*g - 8 + 2 = 0. What is f(g)?
-1
Let d(y) = 28*y**2 + 10*y + 6. Let g(s) = 9*s**2 + 3*s + 2. Let i(k) = 2*d(k) - 7*g(k). Calculate i(-2).
-28
Let t(x) = 19*x + 1. Let z = 90 + -91. Calculate t(z).
-18
Suppose -4*t + 15 = t, 5*t = s + 12. Let u(x) = 458*x**2 - 450*x**2 + 5*x - 3*x**3 + 4*x**s - 8. What is u(-7)?
6
Let p(l) = -164*l**2 + 79*l**2 + 0*l + 83*l**2 - l. What is p(-1)?
-1
Let m(j) = -51*j + 17. Let h(k) = -40*k + 17. Let a(t) = 5*h(t) - 4*m(t). Give a(-4).
1
Suppose -10*p + 4*p = 0. Suppose 2*v = -p*v. Let l(y) = -8*y**2 + 2*y**2 - 7 + 5*y**2. Give l(v).
-7
Let x(j) = -3 + 6 + 3 - 7 + j. Let q(g) = 5*g - 3. Let y(l) = -q(l) + 3*x(l). Give y(-3).
6
Let q(y) = 4*y**2 - 33*y + 9. Let c be q(8). Let n(h) = -h**2 + 8*h + 4. Let j be n(8). Let x(t) = c - j + t + 1 + 3*t. Give x(3).
10
Let h(f) = f**3 + 3*f**2 + 3*f + 1. Suppose 5*i - 11 + 1 = 0. Let q = 3 + i. Suppose -w + 17 = -4*j, -6*j + j = q*w - 10. Give h(j).
-8
Let o(c) = c**2 + 10*c + 14. Let w be o(-9). Let a be (-2)/w + 54/(-15). Let d(l) = -l - 3. Give d(a).
1
Let a(z) = z**2 + 6*z + 3. Let o(d) = -d + 3. Let q(v) = v - 1. Let c(p) = o(p) + 2*q(p). Let y(l) = -a(l) + 6*c(l). Let m be -3*48/(-18) + -5. Determine y(m).
-6
Let l(c) be the third derivative of -11*c**5/60 + c**4/6 + c**3/6 + 117*c**2. What is l(-2)?
-51
Let n be -2 + 2 + 0 - -3. Let j(x) be the second derivative of 2*x - 1/12*x**4 + 0 + 1/3*x**3 - 1/2*x**2. Determine j(n).
-4
Let m(d) be the second derivative of d**4/12 + d**3/2 - d**2 + 3*d + 6. Let o(l) = l + 1. Let g be o(-4). Give m(g).
-2
Let n(c) = 2*c - 49. Let x be n(27). Let z(v) = 2*v**3 + 9*v + 6. Let q(f) = 5*f**3 + f**2 + 26*f + 18. Let t(i) = 3*q(i) - 8*z(i). What is t(x)?
-14
Suppose 18 = -31*o + 34*o. Let k(f) = 16*f - 13*f - f**2 + 2*f. What is k(o)?
-6
Let k(j) be the first derivative of j**3/3 + j**2/2 - 23*j + 389. Calculate k(5).
7
Let h = -197 - -197. Let r(k) = -2*k - k**3 + 0*k**2 + k + k**2 + 11. Determine r(h).
11
Suppose -5*i - 20 = -5*w + 15, 0 = 5*i. Let g(b) = -1 - 6*b - 4 + 6*b + w*b - b**2. Give g(4).
7
Let v = -330 - -326. Let f(m) = 2*m**3 + 4*m**2 - 3*m + 1. Give f(v).
-51
Let o(l) = -20 + 40 - 21 - 12*l. Determine o(1).
-13
Suppose -27*r = -33*r - 6. Let b(m) = 2 - 2 - m + 3*m**3. Give b(r).
-2
Let x(m) = -m**3 - 6*m**2 - 6*m - 3. Let u be 112/(-20)*1 - 6/(-10). Give x(u).
2
Let r(x) = x - 35. Let b be r(12). Let l(n) = n + 30. Let i be l(b). Let t(g) = g**2 - 7*g - 7. Give t(i).
-7
Let l(w) = -2*w**3 - 6*w**2 + 3*w - 2. Let x(m) = m**3. Let i be 1 + -2 - ((-6)/2 - -5). Let v(g) = i*x(g) - l(g). Give v(4).
22
Let c(m) = -4*m**3 + m**2 + 6*m - 2. Let y(f) = -3*f**3 + 5*f - 1. Let h(g) = -4*c(g) + 5*y(g). Let i(j) = -4*j + 144. Let a be i(35). Give h(a).
7
Let a(u) = u**3 - 3*u**2 - 2. Suppose -2*v - 3 = -o, -4*v = -4*o - 0*v + 16. Suppose -11 = -o*p + 4. Give a(p).
-2
Let a(t) = t**2 + 7*t + 6. Let k be 4 + (1 + -3)/2. Let g be 3 + -4 - (k - 22). Let h = -24 + g. What is a(h)?
0
Let w be ((-52)/(-10))/(((-56)/(-20))/(-7)). Let q(f) = f + 17. Determine q(w).
4
Let s(p) be the second derivative of p**4/12 + p**3/2 + 15*p**2/2 - 24*p. Let g(v) be the first derivative of s(v). Give g(-5).
-7
Suppose 0 = -2*l + 2*y + 4, -y - 6 = -3. Let d(v) be the first derivative of 3*v**2 - 1. Calculate d(l).
-6
Suppose 0 = -3*q - 2*w - 2, 6*q - q + 6 = -4*w. Suppose -5*o + 7 = 2. Let n(j) = j + o - 3*j**2 - j - j. Determine n(q).
-13
Suppose 5*r - 2 = d + 7, -9 = -3*d + 3*r. Let y(h) = h**2 - 2*h - 17. What is y(d)?
7
Let n(q) = -2*q + 1. Let v(j) = j - 1. Let l(c) = -6*n(c) - 13*v(c). Let y(d) = -d**3 - 14*d**2 - 12*d + 16. Let k be y(-13). Determine l(k).
4
Suppose -2*m - 2 + 6 = 0. Suppose m*x = -3*b - 17, -2*b + 5*x + 23 = -3*b. Let a(v) = v**2 + v. Determine a(b).
6
Let b be 6/2 + (-4 - -3). Suppose -5*f = o - 20, -o = -b*f + 3*f - 4. Let t(l) = -2*l + 6. Calculate t(f).
-2
Let v(d) = d**3 + 7*d**2 + 5*d - 4. Suppose 4*l + c = 8, 2*l + 3*c = -3*l + 17. Let y be (1/(-3))/(2/30)*l. What is v(y)?
21
Let f(a) be the second derivative of a**4/12 - 5*a**2 - 5*a - 14. Give f(0).
-10
Let l(u) = -u**3 - u**2 - u + 5. Suppose -5*p + 5*q = 40, 5*p + q = -q - 61. Let m = p - -14. Suppose -m*n = -0*n. Determine l(n).
5
Let k = 22 + -27. Let o(v) = -3*v + 11. Let l(a) be the second derivative of -2*a**3/3 + 8*a**2 - 3*a. Let x(b) = 5*l(b) - 7*o(b). Calculate x(k).
-2
Let q(a) = -9*a**2 + 14*a - 38. Let i(c) = 7*c**2 - 16*c + 36. Let t(m) = -4*i(m) - 3*q(m). What is t(20)?
10
Let c(a) be the second derivative of a**3 - a**2/2 - 8*a. Let y = 1 + 2. Suppose -2*v = -3*v - 4*n + 5, y*v + n = 4. What is c(v)?
5
Let r(q) be the second derivative of -q**5/20 - q**4/3 + 5*q**3/6 - 3*q**2/2 - q. Let z = -7 - -107. Suppose z*d - 95*d + 25 = 0. What is r(d)?
-3
Let r(x) be the first derivative of 1/4*x**4 + 5/3*x**3 - 9/2*x**2 - 8*x - 49. Calculate r(-6).
10
Let t(q) be the first derivative of q**3/3 - 5*q**2/2 + 3*q - 25. Let o = -9 + 13. Give t(o).
-1
Suppose 4 = 3*z + z. Suppose -13 - 67 = -8*s. Let l(y) = 0*y**3 + 4*y**3 - y**3 - s*y + 11*y. Determine l(z).
4
Suppose -13*d - 13*d = 182 - 0. Let a(j) = -j**2 - 6*j + 1 - j**2 + j**2. Calculate a(d).
-6
Suppose 4*q - 50*w = -45*w - 21, 15 = -q - 2*w. Let r(d) = d**3 + 10*d**2 + 8*d - 11. Calculate r(q).
-2
Let u(k) be the first derivative of -k**2 + k + 50. Calculate u(-5).
11
Suppose 3*x - 7 = 2*x. Let q(c) = 6 - x*c + 2*c**2 - c**2 + 0*c + 0*c**2. Calculate q(6).
0
Let f(t) = -t - 6. Let m = -9 + 3. Let a be f(m). Let v be (a + 16/12)*-3. Let p(d) = d**3 + 3*d**2 - 2*d + 5. What is p(v)?
-3
Let d be (-14)/12 - 954/108. Let l(f) = -f**3 - 10*f**2 + 11. Determine l(d).
11
Let s(d) be the first derivative of d**4/4 - 4*d**3/3 - 3*d**2 + d - 2. Let b(x) = -2*x**3 + 13*x**2 - 2*x - 19. Let w be b(6). Calculate s(w).
-4
Let g(z) = 4*z**3 + z**2 - 2*z + 1. Let p = -23 + 21. Suppose i + 1 = j + 3, 0 = -i + 3*j + 2. Let d be -4 + i + 1 - p. What is g(d)?
4
Let g = -5 - -13. Suppose -8 = 2*q + 2*u, 5*q + g = -u - u. Let t(n) = -5*n + 3*n + q*n - n. Give t(-3).
9
Suppose 0 = -5*r - 5*f, -r - 4*r - 27 = -4*f. Let w(p) = 4 + 5 - 3 - 4 - 4*p. Determine w(r).
14
Let u(s) = 3*s**3 + 2*s**3 - 4*s**3 - 2 + 4*s**2 - 4*s. Suppose 91 = 8*j - 77. Let k be (j + -18)*(0 - 5/3). Determine u(k).
-7
Let l be (-5)/(50/4) + 28/20. Suppose -165 = -5*w + 285. Let u(m) = 83*m - m**2 + l - w*m - 8. Give u(-6).
-1
Let s(i) = -i**3 - 6*i**2 - 2*i - 8. Let m be s(-6). Suppose -6 = 2*a, 7*a + 43 = m*k + 2*a. Let v(z) = -z**3 + 7*z**2 + 2*z + 4. Give v(k).
18
Let d(o) = -11*o**2 - o. Let x(n) = 3*n - 10. Let h = -12 + 16. Let l be x(h). Let f be 0/(l/(-2)) - 1. What is d(f)?
-10
Suppose q + 7 = -3*a, 0*q + a = 4*q + 2. Let v(f) = -7*f**3 - f**2 - f - 1. What is v(q)?
6
Let m be 4*(-9)/63 - 78/(-63). Let h(u) be the third derivative of 1/12*u**4 + 0 + 0*u - u**2 - m*u**3. Give h(3).
2
Let k(i) be the first derivative of i + i**2 - 1/3*i**3 + 8. Let t(y) = y**3 + y**2 - 4*y - 2. Let d be t(2). Calculate k(d).
1
Let t(i) = -15*i + 14. Let c(p) = 25*p - 27. Let v(k) = 4*c(k) + 7*t(k). What is v(5)?
-35
Let n be (-5)/(-2) - 52/8. Let j(m) = m**3 + 2*m**2 - 4*m + 4. What is j(n)?
-12
Let p(s) be the first derivative of -s**4/4 - 3*s**3 - 4*s**2 + s - 69. Determine p(-8).
1
Let v(g) be the third derivative of 3/2*g**3 - 1/120*g**6 - 6*g**2 - 1/24*g**4 + 0 + 7/60*g**5 - 6*g. What is v(7)?
2
Let i(h) = -2*h**3 + 3*h**2 - 1. Sup
|
{
"pile_set_name": "DM Mathematics"
}
|
- 247*z - 2*j = 14 for z.
0
Solve -2*k = -4*i - 92, -4*i - 96 = 9*k - 488 for k.
44
Solve 973*o = -4*m + 961*o + 36, -o = -2*m - 10 for m.
-3
Solve 0 = 5*z - 1185728*j + 1185733*j + 90, 0 = -3*z - 5*j - 62 for z.
-14
Solve -2*k + 176*x = 172*x + 11 + 35, 3*k = 5*x - 58 for k.
-1
Solve -2*b - 3*r + 15957 - 16075 = 0, -103 = -b + 3*r for b.
-5
Solve -4*v + 2*v - 8*o - 2*o - 38 = 0, -5611*o - 38 = 2*v - 5612*o for v.
-19
Solve -2*p + 18*n + 20 = -22*n + 37*n, 46*p - n = 188 for p.
4
Solve -33 = -3*y - 6*m - 57, 0 = -93*y - 3*m - 378 for y.
-4
Solve 3*l - 7*l - 3*x + 1 = 0, 0 = -162*l + 164*l + 9*x - 53 for l.
-5
Solve 3174*t - 3179*t = j + 28, -3*j + 90 = -14*t for j.
2
Solve 3*a + 5*p = 26, 0 = -a + 27*p - 21*p - 60779 + 60734 for a.
-3
Solve -759*p + 172 = -760*p + 5*k, 15*p - 4 = -k for p.
-2
Solve 5*m - 31 - 8 = 34*z, -7*z + 6*z - 1 = -4*z - 4*m for z.
-1
Solve -18*v = 2*p - 76, -63233 + 63244 = 5*v + 2*p for v.
5
Solve -b - 4*s - 14 - 11 = 0, -9 = 4*b - 4*s + 91 for b.
-25
Solve -34*y + 4*u = 9*u + 7 - 48, -5*y - 9 = -u + 11 for y.
-1
Solve 3*j - 340 = -50*k, -676 = 2*k + 3*k - 43*j + 284 + 305 for k.
5
Solve 35*u + 2*t + 13 = 38*u, 3*u - 6*u = 2*t + 43 for u.
-5
Solve -y = 8*d + 47, 561*y - 559*y - 6 = 4*d for d.
-5
Solve -4*r + 199*s - 204*s + 108 = 0, 5*r - 90 = s + 45 for r.
27
Solve -5*y - 1545*l + 340 = -1547*l, 1895 = 379*l for y.
70
Solve -4*f = -3*z - 3, 21183 - 21180 = -z + 2*f for z.
3
Solve 2*a + 18*b = -142, 28 = -13*a + 9*a - 3*b + 8 for a.
1
Solve 10*o - 12*o + 39 = u - 23, -7*u - 5*o + 416 = 0 for u.
58
Solve -z = -510*x - 512, 4*z - 9*z - 4*x = -6 for z.
2
Solve 14*a = -f + 85, 2*a - 4*f + 1120 = 1128 for a.
6
Solve 1 = -4*f - 2*l - 7, 167*f + 2*l = -497 for f.
-3
Solve -2*p - 4*o + 7384 = p + 7400, -61*p - 480 = 4*o for p.
-8
Solve 2*w + 972 - 1953 + 971 = -3*g, 4*w - 5*g + 2 = 0 for w.
2
Solve 4 = 2*m - 4*h + 8, -3*m - 5*h + 54*h + 59*h = 210 for m.
2
Solve 2 = 5*r - 2 - 6, 3*o + o + 0*o = -3*r - 22 for o.
-7
Solve 2*g + 82 = 3*f - 2*g + 108, -11*g - 28 = 9*f + 4 for f.
-6
Solve 0 = k - 6*h - 83, 4*k + 4*h + 344 = 284 for k.
-1
Solve 0 = 1485*t - 742*t - 740*t + 2*b - 13, 3*t = 2*b + 17 for t.
5
Solve -85660 = 2*w + 4*a - 85678, 0 = 2*w + 3*a - 16 for w.
5
Solve -2*p + 166 = -5*a, 24*p - 32*p + 112 + 29 = 39*p for a.
-32
Solve -45 = 2*l - 5*i, -5*l + 2*i = -70 + 57 + 73 for l.
-10
Solve 5*r - 42 = 2*a, 8*r + 154 = -6*a + 7*r - 36 for a.
-31
Solve -3*w = 7181*l - 7203*l + 41, -4*l + 5*w + 3 = 0 for l.
2
Solve 239*x = -6*o + 243*x + 70, -4*o + 39 = 5*x for o.
11
Solve -2*t = -5*c + 88, -19*c = -16*c - 6*c - 4*t + 32 for c.
16
Solve -7*o - 3 = o - 5*d + 49 + 13, -25 = -5*d for o.
-5
Solve -2*v - 2*w = -162, 21*v + 19*v + 5*w = 34*v + 12*v - 442 for v.
77
Solve h + 3*n - 27 = 0, -19*n = -6*h - 25*n + 54 for h.
0
Solve 2*a + 38*w + 91 = 40*w + 101, -2*a + 4*w + 14 = 0 for a.
3
Solve -3*f - 3649 = -2*f - 4*x - 3632, 17 = -4*f - x for f.
-5
Solve -4*v + 4*r = -40, -25*v - 31*v + 60 = -54*v - 9*r - r for v.
5
Solve -4*w - 1481189*h - 30 = -1481191*h, 0 = 3*w + h + 25 for w.
-8
Solve 2*o = -27*b - 307, -19973 = -2*b - o - 20000 for b.
-11
Solve -53*t + 314 = -58*t - 71*z, -t = z + 10 for t.
-6
Solve 114*o + 71 = 119*o + 2*d + d, -d = 2*o - 25 for o.
4
Solve 16*v = 2*x + 7271 - 7199, -3*x + 27 = 3*v for v.
5
Solve 71*g + 54*g + 3*b - 643 = 0, 4*g - 4*b - 286 = -290 for g.
5
Solve l = -j - 124 + 110, -2*l = -2*j + 44 for j.
4
Solve -9*x - 422*r - 26 = -417*r - 5, r = -7*x + 9 - 34 for x.
-4
Solve 100 = 2*b - 13094*o + 13080*o, -b - 4*o + 28 = 0 for b.
36
Solve 2*d + 28 = -4*g, 23*d + 138*g + 72 = 142*g for d.
-4
Solve -1008683*u + 12 = -1008687*u + 4*y, -5*y = -25 for u.
2
Solve 440029 = c - 5*t + 439969, -5*c + 53*t = -664 for c.
-5
Solve -8*a + 9*a = -4*f + 114, 15*a = 18*a - 3*f + 78 for a.
2
Solve 3*f - 3*y = 3, -5*f = -11*f + 3613*y - 3624*y + 91 for f.
6
Solve 9*o + 6*o = 12*o - q - 17, o = -3*q - 35 for o.
-2
Solve 14*j - 86 = -k, -j + 66 + 36 = 4*k - 94 + 127 for j.
5
Solve 13718*t - 13723*t - 2*c = 121, 2*t = -3*c - 44 for t.
-25
Solve 4*f + 7*x = -6, -853126*f - x + 8 = -853121*f for f.
2
Solve -3*c = -6*m - 0*c + 69, 4*m = -5*c + 3155953 - 3155886 for m.
13
Solve 0 = -2*y - 42403*q + 42400*q + 1, 5*y = 3*q - 50 for y.
-7
Solve 0 = 30*p - l + 5, -306*p + l - 5 = -309*p for p.
0
Solve 2*h - 60 = 15*z, 15*z = z - 11*h + 8*h - 56 for z.
-4
Solve 2*w = 3*p - 104, 23*p + 19*w = 39212 - 38346 for p.
36
Solve 17*c = 4*t + 271, -3*c + 4425432 = 4*t + 4425403 for t.
-4
Solve 0 = -5*o - j - 19, 4*o + 249*j + 15 = 248*j for o.
-4
Solve 57*b - 619 = 2*l, 0*l + 6*l - 476 = 5*b - 507 for l.
4
Solve -15*t + 14*t - 4006*c - 28 = -4010*c, -3*c = -21 for t.
0
Solve 0 = 11*d - 66, -185867*g - 39 = -185864*g - 2*d for g.
-9
Solve 5*t + 5*z - 11 - 24 = 0, -2*z - 7*z - 9 + 1 = -9*t - 7*z for t.
2
Solve -2*q + 18*l - 17*l - 13 = 0, 3*l = -q + 67 for q.
4
Solve -4*o = -4*c + 72, -3*o + 4*c = 3260 - 3189 for o.
-1
Solve 0 = -2*r + 5*m + 9, 14893 - 14881 = 12*m for r.
7
Solve 0 = -9*s - 4*a - a - 44, 18*s + a - 1480 = -762 - 743 for s.
-1
Solve 105 = 2*t - l, -118*l = 59*t - 122*l - 369 for t.
-1
Solve v + v - 8 = 0, 4*h + 5*v = 56 - 16 for h.
5
Solve 4*o = -19*w + 95, -4*w + 19 - 1 = o - 2 for o.
0
Solve 2965*s = -41*u + 2960*s + 338, -2*u - 3*s = -22 for u.
8
Solve 5*m = 40, 5*c - 4*c - 17*m - 398 = -538 for c.
-4
Solve 0 = -5*j - 3232*b + 3240*b - 95, -j + 5*b + 19 = -2*j for j.
-19
Solve 5*h - 281052 = -4*c - 281064, 0 = -5*c - 4*h - 15 for c.
-3
Solve -4*z - 154 = 34*g, 21*z + 65*g + 3 = 23*z + 66*g for z.
4
Solve 0 = -8*q - 4*t - 36, 141*t + 218 = -35*q + 146*t + 38 for q.
-5
Solve 4*b = -4*x - 4, -10*x = 2*b - 3*b - 953 + 908 for x.
4
Solve -3*q - 5*r = 56, 5*q + 151907 = 5*r + 151987 for q.
3
Solve -41*b = -5*h + 269, -100*b + 49*b + 2*h - 58 = -47*b for b.
-4
Solve 38*v + 19*v = 0, -4*v + 3*v + 3*v = -5*a + a + 112 for a.
28
Solve -3*w + 2*u + 13 + 13 = -17, -w - 1154 = 32*u - 613 for w.
3
Solve -f = 2*v + 13, 9438 = -3*v - v + f + 4717 + 4710 for v.
-4
Solve -9*t - w - 104 = 0, 5*t + 1070370*w - 1070374*w + 76 = 0 for t.
-12
Solve -l - 2*n - 2*n = 9, -2*l + 13 = -0*l + 5*n + 25 for l.
-1
Solve 54 = -w, -13*s = 20*w - 14*w - 8*w - 56 for s.
-4
Solve 257*v - 259*v + 4*t = 26, 186*t - 3 + 4 = -7*v + 182*t for v.
-3
Solve -104*r = -c - 219 + 638, 4*c - 5*r = -2*r + 24 for c.
3
Solve 11*b - 116 = 5*p, 10*b + 14 = 3*p + 11*b for p.
1
Solve -2*c - 4 = 3*o, 5*o + 8*c = -14*c + 11*c - 9*c + 10 for o.
-2
Solve -3*x = 3786*v - 3790*v - 46, 0 = -8*v - 2*x - 76 for v.
-10
Solve 122 = -4*c + 37858*g - 37863*g, 0*c - 2*c + 4*g + 61 + 47 = 0 for c.
2
Solve -3*l + 5*b - 33 + 13 = -7, 0 = b - 19 + 14 for l.
4
Solve -262*y + 18 = -5*t - 258*y - 24, 9*t + 21 = 3*y for t.
2
Solve 4*o - 5*i = 110, -2578 = -o - 88*i - 4157 for o.
5
Solve 5*m + 12*k + 3 = -10*k + 20*k, m + k - 6 = 0 for m.
-5
Solve 4*t + 5*n + 43 = 0, 22556*n = -4*t + 22554*n - 46 for t.
-12
Solve 20*u - 1733*a + 1729*a + 68 = 0, 2*u = -u - 4*a + 91 for u.
1
Solve -15*l + 20*l + 5*r + 35 = 0, 292*l - 287*l - r - 31 = 0 for l.
4
Solve -3*p + 9*d = 69, 0 = 5*p - 94*d + 97*d + 61 for p.
-14
Solve -36*b - 8*c = -34*b + 60, -b + 5*b + 32 + 50 = 3*c for b.
-22
Solve 5*d + 16 = -z, -65401189*d = 5*z - 65401193*d + 22 for z.
-6
Solve -3*f + 859*t - 52 = 848*t, -3*f - t = t - 13 for f.
1
Solve -5*w + 260716*s - 260714*s + 56 = 0, 72 = 6*w - 4*s for w.
10
Solve 692*w - 688*w = 5*i + 91, -7*w = 3*i + 64 for i.
-19
Solve t - 3*t + w + 1 + 11 = 0, -35*t = 11*w - 8*w + 10 - 56 for t.
2
Solve -3*i = -2*a - 18, 6*a - 12*a - 38 = 5*i + 2*a for i.
2
Solve -2*a = 7*u + 148, 5*a + 1423 = 4*u + 1096 for a.
-67
Solve 0 = -25*i + 58*i - 32*i - 4*c - 216, -i + 9*c + 486 = 0 for i.
0
Solve 2*b = -2*o + 5*b - 18, 180*o + 91 = 180*o + 24*b - 53 for o.
0
Solve -29*z + 2*w = 549, -z - 225902*w = -225903*w + 18 for z.
-19
Solve 2*f + 3*w = -3, -2*f + 4*f - 387 + 384 = 3*w for f.
0
Solve -2*q = 8*b - 32, 961*b - 966*b + 20 = 27*q for b.
4
Solve -3*o + 10*g - 12*g + 16 = -4*o, -300 = 8*o + 73*o + 4*g for o.
-4
Solve -248 = p - 140*i, -3*i - 633 = p - 671 for p.
32
Solve -2*a + 3*i - 15 = 0, 29525*i - 48 = 5*a + 29528*i for a.
-9
Solve -48 = -2*i + 12*o, 5*o = 276*i - 279*i + 95 for i.
30
Solve 4*a - u = -24, 14 = -3283*a +
|
{
"pile_set_name": "DM Mathematics"
}
|
n 1/4, 892, 4, -0.5, 36?
36
What is the biggest value in -11/14, -23, -45094?
-11/14
What is the third smallest value in 1493, 0.2, 0.0899, 0.12?
0.2
Which is the biggest value? (a) 1 (b) 0.4 (c) 91 (d) -213.1 (e) -0.5
c
What is the fourth smallest value in -5, 2/11, 439, -11/3?
439
What is the fourth smallest value in 3/2, -2/7, -8, 5, -38.45, 0.5?
0.5
What is the fifth smallest value in -0.1, -2679, -5, -0.3, 0.14, 0.16?
0.14
Which is the second biggest value? (a) 8 (b) 50.32 (c) -0.1 (d) -3
a
Which is the second smallest value? (a) 1145/12 (b) -3.1 (c) -19
b
Which is the second biggest value? (a) -260662 (b) 2/13 (c) -5
c
What is the fifth smallest value in -1, -1.51, -10, 4, -0.1?
4
Which is the biggest value? (a) 1/7 (b) -95.513 (c) 2 (d) -1822
c
What is the sixth smallest value in 2/9, -2, -4, 1, 4, 1/4, -48221?
1
What is the fifth biggest value in -172/3, -1, -0.5, -4, -0.8?
-172/3
What is the fourth smallest value in -1, -4/7, 0.04, -3/2, 0, -341, 114?
-4/7
What is the third biggest value in -1, 5, -74.148?
-74.148
What is the second smallest value in -3, -486, 15, -0.4?
-3
Which is the third smallest value? (a) 559/14 (b) -2 (c) -0.4
a
What is the sixth biggest value in 1.1, 2/3, -2/5, 2.9, 1/21, 0?
-2/5
Which is the third biggest value? (a) -2 (b) 1/3 (c) 2/7 (d) -1/5 (e) 4 (f) 161/1810 (g) 0.4
b
Which is the third biggest value? (a) -369920.5 (b) 0.3 (c) 2/11 (d) 5
c
Which is the smallest value? (a) -804272 (b) -3 (c) 7
a
What is the biggest value in 1, -76, -10, 2, -4, -239?
2
Which is the third smallest value? (a) -0.76 (b) 1/2 (c) 4 (d) 1.2 (e) -1 (f) 0
f
Which is the sixth biggest value? (a) -3 (b) -2 (c) 1 (d) 3 (e) 1.16 (f) 215
a
Which is the third biggest value? (a) 1/9 (b) -54 (c) 5760
b
What is the sixth smallest value in 5, 28675, 1, -4, 63, 1/4?
28675
Which is the seventh smallest value? (a) 2/3 (b) -14 (c) -20 (d) 0.1 (e) 0.48 (f) -0.2 (g) 3/56
a
What is the sixth biggest value in -6/13, 0, 0.2, 0.5, 21, -0.139?
-6/13
Which is the third biggest value? (a) -7150 (b) 38/3 (c) 0.24
a
What is the fifth smallest value in -1.3, -779, -3, -0.1, 3/8?
3/8
Which is the biggest value? (a) 2/13 (b) 6.93 (c) -5 (d) 4 (e) 16
e
Which is the third smallest value? (a) -59.59 (b) -1 (c) 70
c
Which is the fourth biggest value? (a) 47.9 (b) 4 (c) 0.1 (d) -14 (e) -10 (f) -1 (g) -0.5
g
What is the third smallest value in -5, 0.5, -1528694, 1/5, -2/11?
-2/11
What is the seventh smallest value in 4, -21, 3/382, -1/6, 5, 1/4, 0.5?
5
Which is the third smallest value? (a) -2/7 (b) 21 (c) -1 (d) 0.9 (e) -2/5 (f) -313
e
What is the fifth smallest value in -1, -3, 1/30, 0.3, 19216, -30?
0.3
What is the smallest value in 2/501, -1, -3, -29, -4, -0.01, -2?
-29
Which is the smallest value? (a) -3/8 (b) 5 (c) 11 (d) 231 (e) -0.05 (f) -0.1 (g) -15/4
g
What is the fifth smallest value in 1/29, 8, 4, 3, -0.7, -1/5, -1?
3
What is the smallest value in 0.3549, -4/67, 2/5, -1/11, 5/3?
-1/11
What is the second biggest value in 5, 30.938, -4/371?
5
Which is the second smallest value? (a) -76150.7 (b) 6/11 (c) -0.4 (d) -1
d
What is the third smallest value in 0.2, 0.4, 1725, 0.9, 11?
0.9
Which is the fifth smallest value? (a) -2 (b) 171 (c) 57 (d) -2/3 (e) 0
b
Which is the fourth biggest value? (a) -5/7 (b) -7 (c) 0.5 (d) 1 (e) 129 (f) -12 (g) 5
c
Which is the sixth biggest value? (a) 4.1 (b) 0.09 (c) -1/6 (d) -3 (e) 0.5 (f) 20/13
d
Which is the fourth smallest value? (a) -2 (b) 3 (c) -1/5 (d) 27.6 (e) 2713 (f) 0.1
b
What is the smallest value in -10, -136, 1, 2/11, -1/3, -3, -6?
-136
Which is the third biggest value? (a) 2/5 (b) -37686 (c) 0.9 (d) 96
a
Which is the fourth biggest value? (a) -0.7 (b) -29 (c) 0.6 (d) -2/9 (e) -3 (f) -108
e
Which is the second smallest value? (a) 0.26 (b) -7/5 (c) -2/9 (d) 1/4
c
What is the third smallest value in 3679, -10, -1?
3679
Which is the second biggest value? (a) -35 (b) -3 (c) -8 (d) 3/8 (e) -4 (f) 0.59
d
Which is the second smallest value? (a) 2 (b) -3/5 (c) -15744 (d) 1.3 (e) 5 (f) 4
b
Which is the fifth smallest value? (a) -1/15 (b) 0.24 (c) -23 (d) -87 (e) -1 (f) -2
a
What is the smallest value in -2/53, -3, 134, 4, 0?
-3
What is the fourth smallest value in 0.4, -2/13, 0.8, 195/2, -1, 262, 3?
0.8
Which is the smallest value? (a) 100 (b) 0.1 (c) 2002
b
What is the sixth smallest value in -3, -4, -0.7, -0.0594, -0.1, 2/241?
2/241
Which is the third smallest value? (a) 2.3 (b) -0.511 (c) 0.9328
a
What is the third smallest value in 0.5, -2183715, 4?
4
What is the third smallest value in -15, 0.5, 3/5, 1384, -30?
0.5
What is the seventh biggest value in 123.9, -1, -1/13, 0.06, 1/7, -2/5, 0?
-1
What is the fifth smallest value in -1/2, -14596, -4, 0.3, -16?
0.3
Which is the third smallest value? (a) -3 (b) 1/19 (c) -0.2 (d) 2 (e) 0.3 (f) 1
b
What is the fourth biggest value in 14, 4.4, 27/116, -1/8?
-1/8
What is the seventh smallest value in 1/7, -0.1, 0.1, -0.04, -4/7, 0.2, 2/263?
0.2
What is the fifth smallest value in 0.9, -45/17, 3, -4/5, 0.1?
3
Which is the third biggest value? (a) 0.6 (b) -4/7 (c) -0.1 (d) 13 (e) 3 (f) -27
a
Which is the biggest value? (a) 0.98 (b) 4/7 (c) -5 (d) -2/187
a
Which is the biggest value? (a) 11.046 (b) -1/16 (c) -1
a
What is the fourth smallest value in -5/3, 2, 1.5, -2, 1, -3/8, -103?
-3/8
What is the third biggest value in -72, 2, -137, -5, -2, -2/17?
-2
Which is the second smallest value? (a) 1/5 (b) 7 (c) -39.51 (d) -641/2
c
What is the second smallest value in 1/4, 5, -147.8, 4, -2/5?
-2/5
Which is the third smallest value? (a) -3 (b) -28 (c) 22 (d) -8 (e) -5 (f) -1/11 (g) -2
e
Which is the third smallest value? (a) 3 (b) 0 (c) -2/73 (d) 4 (e) -1 (f) 1528.5 (g) -0.3
c
What is the third smallest value in -3.2, 480, 1/5?
480
What is the biggest value in 0.465, 120, 659?
659
Which is the biggest value? (a) 1/440 (b) 3993 (c) -10
b
Which is the fifth biggest value? (a) 31 (b) -0.5 (c) 0.5 (d) 0.06 (e) 5 (f) -1/41
f
Which is the fifth biggest value? (a) -4/9 (b) -208 (c) 0.14 (d) -5/8 (e) 5
b
Which is the smallest value? (a) 41 (b) -16 (c) -0.2 (d) 4 (e) 5 (f) -2 (g) -26
g
What is the fifth smallest value in -1, 2, -46, 5, -1.672?
5
Which is the second biggest value? (a) 52 (b) 2/7 (c) 4 (d) -110 (e) -1/6 (f) 2
c
Which is the third smallest value? (a) 0.08 (b) -1 (c) 4.1 (d) 26 (e) 19
c
What is the fifth smallest value in 0.4, 2/61, -2, 0.06, 39, -6, 0.44?
0.4
Which is the smallest value? (a) -74 (b) 4 (c) -515 (d) -32
c
Which is the fourth smallest value? (a) 384/19 (b) -4 (c) -0.2 (d) -0.09 (e) 0.5 (f) 3 (g) -1
d
Which is the third biggest value? (a) 1 (b) -9/4 (c) 2/27 (d) 4/37 (e) -1 (f) 3 (g) -0.5
d
Which is the fourth smallest value? (a) -15 (b) 126956 (c) 3 (d) 0.2
b
What is the smallest value in -8/7, 55, 3.21?
-8/7
What is the second smallest value in 616, -19, 2, 1/56, 2/9?
1/56
Which is the third biggest value? (a) -197.48 (b) -1384 (c) -3/5
b
What is the third smallest value in 4, 2/13, -0.4, 1.6, -55, 7?
2/13
What is the third biggest value in -1/5, 1/7, -653, 7?
-1/5
Which is the second smallest value? (a) 2/7 (b) 951 (c) -2/3 (d) 0.095 (e) 14/11 (f) 1 (g) 5
d
Which is the sixth smallest value? (a) 1.14 (b) 0.2 (c) -1/113 (d) 1/4 (e) -0.5 (f) -0.05
a
Which is the fifth biggest value? (a) 0.2 (b) -1.02 (c) 264 (d) 70 (e) 0.6
b
What is the second biggest value in 50/927, -4259, 3?
50/927
What is the fifth biggest value in -0.293, -0.2, -0.18, -3, 120?
-3
What is the second biggest value in 26/9, -8.497, -748?
-8.497
What is the smallest value in 20972, 6353, -3?
-3
What is the sixth smallest value in 3/2, 4, -2.64, 8, 5, -0.0618, -0.5?
5
What is the fourth smallest value in -0.23, -3/2, -253, -1, -0.3, -0.8, -3?
-1
Which is the third biggest value? (a) 5 (b) -1/6 (c) 5/51 (d) 7/6 (e) 2/13 (f) 12
d
What is the third smallest value in -1, -529/3, -242, 0, 0.21?
-1
What is the third smallest value in 10, -2290, 23, 0.1, 3?
3
Which is the third smallest value? (a) -5/24 (b) 0.034 (c) -5 (d) -1011
a
Whi
|
{
"pile_set_name": "DM Mathematics"
}
|
2*u + 9 = k*h, -3*u - h = 2*u - 3 for u.
0
Let j be ((-3)/(-2))/((-5)/(-40)). Solve -2*z - 4*m - j = 0, 4*z + 4*m = 5*z - 18 for z.
2
Suppose 25 = r + 3*f, -3*f - 20 - 19 = -3*r. Suppose 2*n + 2*n = r. Solve -2*y - 15 = 5*a, 3*y + 0*a + n*a = -12 for y.
0
Let w(s) = -s - 5. Let f be w(-5). Suppose f = -c - c - 12. Let k be 0 - (0 - c/(-3)). Solve -5*u - 20 = 0, -b - 2 = -u + k*u for b.
2
Let c(a) be the third derivative of 1/8*a**4 + 0*a**3 + 0*a + 1/30*a**5 + 0 + 2*a**2. Let h be c(-2). Solve 0 = 5*i + 5*u - 25, -2*u = -2*i + h*u - 8 for i.
2
Let j(p) = -p - 9. Let r be j(-12). Solve -3*i = -2*t - r, 4*t + 0*t + 2*i = -14 for t.
-3
Suppose -2*l - 2 = -4*l. Suppose -5*h + 14 = -l. Solve h*n - 5*s - 2 = 0, 3*s - 1 = 5*n + 1 for n.
-1
Suppose 3*q + s = 30, -12 = -0*s + 4*s. Solve q + 11 = -2*w - 3*k, 4*w = 5*k for w.
-5
Suppose 0 = 10*z - 6*z - 8. Let t = -4 - -4. Let a be t/(1/1*1). Solve -4*u - x + 3 = 0, -3*u - z*u + 3*x - 9 = a for u.
0
Let j be ((-1)/2)/(1/(-14)). Suppose 0 = 2*h + 2*h - 12. Suppose -2*d = 4*f - 12, -h*d + f - 5*f = -16. Solve 2*t = -4*a + 10, j*a = 2*a + d*t + 32 for a.
4
Let y = 17 + -14. Solve -15 = y*w - 4*c, -2*w + 3*c - 1 = 9 for w.
-5
Suppose -2*b = 5*j - b + 15, 3*b = -5*j - 25. Let z(p) = -2*p**3 + p**2 - 2*p - 2. Let m be z(j). Solve -4*f + 10 = 4*c - c, -5*c = -3*f + m for f.
4
Let f be (-5)/15 + (-46)/(-3). Suppose 9 = 4*r - j - 31, -3*r + f = 3*j. Solve u + r = -4*p, 3*u - 2*p = 1 - 14 for u.
-5
Suppose -a + 3*y = 2*y + 1, -2*a - 4*y - 2 = 0. Let q be 22 - (-5 - (a + -1)). Solve -q = 4*g - 5*f, -2*g + 2*f = -0*g + 10 for g.
0
Let m = 7 - 3. Let y be m/(-14) + (-424)/(-14). Solve 0*j = -4*k - 4*j, 0 = -2*k + 4*j - y for k.
-5
Let o(s) = s + 3. Let t be o(1). Solve 25 = -t*k + 5*p, 3*k - p = -4 - 1 for k.
0
Let a = -33 + 48. Let l be ((-9)/(-6))/(a/20). Solve -2*t - k - 8 = 0, 2*t = l*k - 6*k - 20 for t.
-2
Suppose 0 = 3*w + 3 - 18. Let d = 8 - w. Suppose -7*j = -5*c - 2*j + 65, -d*c = 3*j - 51. Solve 0 = 3*n - 2*p - 5, c = -5*n - 3*p + 55 for n.
5
Let v(w) = w - 3. Let s be v(8). Suppose 12 = 3*y - 2*a, 0*y = s*y - 2*a - 16. Solve -5*t = y*j - 0*j + 15, 10 = -j - 5*t for j.
-5
Suppose -p - 3 = -2*p. Suppose -20 = 17*w - 21*w. Solve 0*r = -q + r, -w*q + p*r - 4 = 0 for q.
-2
Let o = -7 + 9. Suppose -o*g = -7*g. Solve g*m = 5*a + m + 23, 2*a - 3*m = 1 for a.
-4
Suppose -2*w - 5 = -15, -2*w - 17 = -s. Solve k - 6*k - 25 = 0, 3*k = 4*r - s for r.
3
Suppose 18*h = 95 + 13. Let y(f) = 3*f**2 - 5*f - 4. Let p be y(4). Suppose -3*g - 4*s = -p, -6*g - 2*s + 26 = -g. Solve 2*c = v + 4*v + 12, v - g*c = -h for v.
-2
Let g be 9/15 - (-2)/5. Suppose -c + n - g = -5, -20 = c + 5*n. Solve 3*b - 3*m = -21, c*b + 2*b - 1 = -3*m for b.
-4
Let g = -12 - -8. Let y = g + 4. Suppose -2*r + 24 = 4*f + 2, -3*f + 3*r + 21 = y. Solve 2*s = b + 15, -b + f*b = 5*s - 50 for b.
-5
Let v be -4 - 15/(-4) - 3/(-12). Solve 0 = 4*w + 20, -5*t - w + 2*w + 15 = v for t.
2
Suppose -2*o = -3*l + 8 - 2, -4*o - 4*l = 52. Let y = -5 - o. Suppose 0 = -5*p + 14 - y, 4*p = g - 4. Solve 5*u - 2*a + 6*a = g, 4*a - 12 = -4*u for u.
0
Suppose j + 26 + 17 = 3*d, -d = 4*j - 10. Let t be (-2)/d*-2*14. Solve 16 = -4*b - t*p, 0 = -0*b + 3*b + p + 10 for b.
-3
Suppose 4*z - 36 = -b, 4*z + z + 33 = 2*b. Suppose -q = -5*j + b, 4*j + 5*q - 25 = -0*q. Solve 2*t + n - 7 = 0, 5*n + 18 + 7 = j*t for t.
4
Let o be 6 + -5 - (-9 + 0). Let u(m) = 4*m - 11. Let g be u(o). Solve 5*b + g = -4*z, -5*z = -b - 0*b for b.
-5
Let c = 19 + -19. Solve c = -5*o - 0*o - 3*i - 23, i + 21 = -5*o for o.
-4
Suppose 4*d + 8 = -2*k + 2*d, -3*k - 12 = 5*d. Let o be -2*(6/k + 0). Suppose o*u = 15 - 3. Solve 2*s = -2*c, -c - u*c + 5*s + 10 = 0 for c.
1
Suppose 6*c - 8 = 4*c. Solve 3*a - 5*v + 11 = 0, c*v - 9 = 2*a + 1 for a.
3
Let d(f) = f**2 - 3*f - 5. Let x be d(4). Let c be x*(1 + -1 + -1). Suppose 4*r = -3 - c, -4*r + 16 = 5*g. Solve 2*i + g*a - 2 = 2, -3*i - 4*a + 6 = 0 for i.
2
Suppose 0 = -4*f + 4*w, 2*f = -2*f - 2*w + 12. Solve -2*n - 6*s = -s + 25, 26 = -4*n - f*s for n.
-5
Let u = 16 - 7. Suppose 0 = y + 4 - u. Suppose -11 = -y*s + 14. Solve 2*k = 5*j - s, -k - 15 = k + 5*j for k.
-5
Let o = 122 + -122. Solve -2*s = -3*d - 19, o = -4*d + s - 21 - 1 for d.
-5
Suppose -2*u + 0 = -2. Let p be u + -1 - (0 + -4). Let c be (-22)/(-5) + 4/(-10). Solve 4*r = c*o - 3*o - 8, 4 = -4*o + p*r for o.
-4
Let x(l) = -1. Let p(y) = 4*y - 13. Let d(j) = p(j) - 3*x(j). Let t be d(7). Solve 0 = -5*s + 5*b + 11 - 1, 3*s - t = -b for s.
5
Let b be 3 - (3 - 8)/5. Solve 0 = 3*d - 6, -b*x + 2*d - d + 14 = 0 for x.
4
Let a be (1/2*0)/(-3). Solve a = 4*l + 4, 0*i = 2*i - l - 5 for i.
2
Let y = -116 - -118. Solve 3*n + 3*s - 12 = 0, -5*s + y*s = -3*n - 6 for n.
1
Let b(q) = -q - 6. Let a be b(-8). Suppose 34 = 4*r - a. Solve -2*o - 4 = 2*x, r*x - 4*x = 0 for o.
-2
Let r(d) = -4*d - 7. Let x be r(-5). Let m be (-2)/(-8) - 45/(-12). Suppose m*w - 5*y - 41 = -0*y, -5*w + 25 = -y. Solve -w*b - 4 - 13 = g, 2*b - g = -x for b.
-5
Let r be (-81)/(-4) + (-26)/8 + 3. Solve -r = 5*b, 3*h + 4*b + b = -32 for h.
-4
Suppose 2*x + 3*x - 140 = 0. Suppose 0 = -0*w - 4*w + x. Solve -5*k - 2*m - 6 = w, -3*k = -2*m + 11 for k.
-3
Let x be 1 - (5 + -1 - 3). Suppose -5*d - 4*b + 2 = x, -2*d + 8 = -b + 2. Solve f + 2*q = -2*f - d, f + 24 = 4*q for f.
-4
Let i(p) = -p**2 + p + 12. Let t be i(4). Solve 2*r = -2*w, -5*w + t*w - 3*r = 10 for w.
-5
Let z(l) = l + 9. Let y be z(-11). Let o be (-174)/(-24) + y/8. Solve n + 2*n - o = 2*p, -n - 26 = 5*p for n.
-1
Let p(b) = -b**2 + 2*b + 5. Let k be p(4). Suppose 6*f - 2 = 5*f. Let n = f - k. Solve 3*l - 6 = 5*d + 17, -4*l = n*d + 16 for l.
1
Suppose 0*s = 2*i - 2*s - 12, -3 = s. Solve 3 = -3*q - i*f, -f + 3*f - 18 = 3*q for q.
-4
Suppose 18 = -0*b + b. Suppose 6*m - 2*m = 20. Suppose -m*x + b = -167. Solve -2 + 31 = 3*q + 4*c, 4*q + 5*c - x = 0 for q.
3
Let r = 31 - 28. Solve -r*j + 2*f = -6*j + 4, 28 = 4*j - 3*f for j.
4
Let x be 4/(52/(-20) + 3). Let y = 9 + 16. Let d = -11 + y. Solve 0 = -3*s - 2*f + x - 2, 4*s + f - d = 0 for s.
4
Let h be (-1 + 14/(-6))/((-20)/30). Solve 18 = -2*t + 8, -2*t = -h*x + 30 for x.
4
Let y be (40/15 - 3)/(2/(-12)). Solve -1 + 7 = -2*c - t, -9 = c + y*t for c.
-1
Let p(n) = -2*n**3 - n**2 - 2*n - 1. Let x be p(-1). Let b(z) = z**2 - 11*z + 5. Let d be b(11). Solve 0*q + 2*q + x = 4*r, 0 = -d*r - 4*q + 35 for r.
3
Suppose 10 = 4*a - 2. Suppose 4*o = 4*x - 52, -x - 7 = a*o - 0. Suppose -4*m - 5*i - x = 0, -m + 0*m - 2*i = 5. Solve y + m*t - t = 1, 3*t + 3 = 0 for y.
3
Suppose -2*w = 2*y - 14, -2*y = -w + 3*y + 19. Solve 0 = -3*m + w, 4*f + 1 = -4*m - 3 for f.
-4
Let f be 4/(1 + (-4 - -5)). Solve t = 4*r - 0*r - 21, -23 = 3*t - f*r for t.
-5
Let b = -149 + 151. Solve -3*f + b*d = -7, -d + 8 = 4*f - 5*d for f.
3
Let s be (-2 + 2)*1 - 10. Let u(z) = -z**2 + 14*z. Let f be u(13). Let r = s + f. Solve r*l = -2*t - 0*l - 13, 4*t + 3*l + 17 = 0 for t.
-2
Let r(x) = 3*x + 3. Suppose 7*k = 2*k + 55. Let z(g) = g + 1. Let t(d) = k*z(d) - 4*r(d). Let w be t(-6). Solve -10 = 4*o + y, 5 = -4*o + w*y + 7 for o.
-2
Let r(d) = d**2 - 9*d - 6. Let b be r(10). Solve -4 = 4*m + u, m - b*u = -3*u - 1 for m.
-1
Let w be 6/((-2)/4 - 0). Let h = -7 - w. Solve 0 = 2*i + x + 12, -i = 2*i + h*x + 25 for i.
-5
Suppose 0 = i + l - 11, -i + 4*l - 7 = -l. Solve -i = 4*p, -5*x + 2*p - 14 = 4*p for x.
-2
Let q be 2 + -2 + (0 - -2). Solve 4*s - q*g = 4, 0 = -3*g + g - 4 for s.
0
Let u = 1 - -1. Suppose 4*i + 8*w - 9*w - 11 = 0, -2*i + 1 = -5*w. Solve -4*s - 29 = i*y, u = s + s - 4*y for s.
-5
Let q = 32 + -27. Let k be (-1 - (-4 + 0))*-1. Let t = k + q. Solve -t*g - 2*a = -5 - 3, 0 = g - a + 4 for g.
0
Suppose r - 5*z - 7 = 4*r, -3*r = 4*z + 5. Solve -3 = -2*l - 1, -2*j + r = l for j.
0
Suppose -2*d + 4 = 2, -15 = -4*p + 5*d. Solve h + 4*g = -8, -g - 10 = -p*h + 4*g for h.
0
Let j(q) = -q**2 - 3*q + 2. Let m be j(-5). Let g = 10 + m. Solve u = 2*u - 2*s - 1, -g*u - 16 = 5*s for u.
-3
Let u = -23 - -24. Solve 2*m + l = m - 9, m - l = u for m.
-4
Let i be 0*(-1 + 2)*1. Let t be i - (2 + -4 - 0). Suppose -5*n + 15 = -t*n. Solve l + l = n*g + 12, g + 4 = 0 for l.
-4
Let f = -15 - -27. Let t be (-8)/(-5)*5/2. Let s(h) = h**3 + 5*h**2 - 6*h + 4. Let w be s(-6). Solve -4*u + f = t*n, -w*u - u + 5 =
|
{
"pile_set_name": "DM Mathematics"
}
|
se 6) to base 10
5797256
Convert -b2bbc (base 14) to base 8.
-1510462
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648388
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102000012010022
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-5204706
-11011001000100110010001 (base 2) to base 7
-114313626
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121354
23a35 (base 13) to base 6
1222555
19355211 (base 10) to base 4
1021311121023
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1695375
122203003 (base 4) to base 12
52b17
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1101000110
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-942362
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-250054
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1142312402
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-11011002100022
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-2067735
60203212 (base 7) to base 5
2233213013
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31120320
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-13b01b
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1030222323
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180408
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9b5861
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-3504145
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141030442
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-1bc228
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-1521100
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5478676
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7b02a5
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-440452
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556a
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-21210001
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1000010011111010100111
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-1100011010000010001
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-257ffa
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-11101011110001100011
ab679 (base 12) to base 16
377fd
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-1441122403
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-1013322403
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182336
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5828959
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54102a2
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30604213
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-26b3ab
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1042152205
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11100111110001
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-210000221110
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113120
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-682d9b
1544512 (base 8) to base 15
8bb9b
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-12012010101
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-175343
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1578758
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222365
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10bc178
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2944a
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1359289
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-133680
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211326
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-2235002
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1edd5
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-83ff
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-387443
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11013333031
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-4a2035
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-303236
824b7 (base 13) to base 2
111001000011101100
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61272
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-523153342
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9eded
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-1104110
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2013300003
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-1110010110111110100
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-42142441
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1011010100100101101
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-13a8d8
135444224 (base 6) to base 12
b26674
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-201222212101
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-13241243
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-15039a
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35216741
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34043a
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-948015
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101110010111010001
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1313143
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50304354
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-47281
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491fc
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-9252
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4124034
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-d0e9
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-332b8
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-121510
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-2402124
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5131131
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1120210300
1c17a4 (base 14) to base 8
3647104
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2135123
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b8a9
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-203322202
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4041660
428d68 (base 16) to base 5
2104032301
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100111111010101110000111
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-261434
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83063
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-2077900
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1121000200110
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-2831c
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11010000001011111001100
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1882078
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-a79b4
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-2011211122212
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10165440
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20220120112
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314040
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13a729
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-44243
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-80991
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2aa9b78
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1201132233
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-5bcb56
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902074
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4415144
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4456515
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-6658046
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-77309
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28665
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-212022312
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-134590
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15264313
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73773
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-2303430
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1122333222
54034112 (base 6) to base 2
110000100011100111100
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a0a022
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-4805657
2b1662 (base 13) to base 5
232410143
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3753343
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-34720
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-10010001001111000011100
Convert -306604 (base 9) to base 11.
-114825
12201010 (base 8) to base 2
1010010000001000001000
4237333 (base 8) to base 14
215c4b
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-203303311
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1424450
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-10100101010111111001000
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-33a881
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a139
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-2964398
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103213321
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-1202311312
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-485a4d
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-302a9
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2549854
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-3134a3
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-340320320
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-256476
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214132113
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200331333
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485b52
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1d812
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-732433
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-5730036
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12066322
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-23395
10121102102022 (base 3) to base 11
109a780
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-427447
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-141121
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-3621045
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-6134042
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58a40
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-391268
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6a003
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-82140
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-c7071
5201551 (base 6) to base 7
2055463
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-10202101110
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b6c6
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1471565
586b5 (base 13) to base 6
3243515
110785 (base 10) to base 7
640663
119049 (base 13) to base 9
708630
Convert 10014313230 (base 5) to base 14.
1461d50
Convert -2221021110212 (base 3) to base 4.
-11330331113
What is 554b9 (base 12) in base 4?
123212031
Convert -11030142 (base 5) to base 12.
-4744
|
{
"pile_set_name": "DM Mathematics"
}
|
t - 4*k - 166, -9*k + 6*k - 168 = -t. List the prime factors of t.
2, 3, 29
Suppose 0 = -3*l + 4*i + 120, l - 4*l - i + 120 = 0. Let u(z) = -3*z**2 + 148*z - 97. List the prime factors of u(l).
3, 11, 31
Let w(t) = -t**2 + 13*t - 15. Let y(f) be the third derivative of -f**5/30 + 11*f**4/24 + f**3 - 15*f**2. Let i be y(5). List the prime factors of w(i).
7
Let q be -21 + (4/14 - (-16)/(-56)). Let o = 24 - q. Suppose o*k - 44*k - 51 = 0. List the prime factors of k.
3, 17
What are the prime factors of (((-270972)/26)/(-27))/((2/4)/1)?
2, 193
Let a = 2186 + -1217. Let t = -2 + a. List the prime factors of t.
967
What are the prime factors of (-7)/(-2) - 745706/(-172)?
4339
Let q be 13/((-13)/(-30))*2/3. Let y = q - 15. What are the prime factors of (y/(-30)*-3)/((-2)/(-188))?
47
Let y be (4 - -3) + (-3 - 2/(-2)). Let b(o) = -o + 10. Let u be b(y). Suppose -4*t + u = 4*z - 83, z = -4*t + 22. What are the prime factors of z?
2, 11
Let a(d) = -583*d**3 - 5*d**2 - 19*d - 24. What are the prime factors of a(-4)?
2, 3, 13, 239
What are the prime factors of (-86547)/(-34)*(-120)/(-18)?
2, 5, 1697
Let l be (-1)/(-2) - (-162)/12. Let v(o) = -3*o + 34. Let d be v(l). List the prime factors of (-1)/(2/d) - -98.
2, 3, 17
Suppose 19038 = 53*m - 2162. What are the prime factors of m?
2, 5
Let m(d) = 2*d**3 - 3*d**3 + 11*d - 19 - 19*d**2 + 7*d**2. Let x be 18/6 - 10 - 18/3. List the prime factors of m(x).
7
Suppose 3*y - r = 96739, 378*r + 161205 = 5*y + 383*r. What are the prime factors of y?
5, 6449
Let k(n) be the second derivative of -n**5/20 - 29*n**4/12 - 6*n**3 + 5*n**2/2 - n + 1. What are the prime factors of k(-28)?
229
Let b = -53 + 56. Suppose 2*h = 6, b*j - 5*h + 2*h = 1278. Suppose 2*f - 7*f = 3*g - 265, 5*g = -2*f + j. What are the prime factors of g?
5, 17
Let x be (-29*2/8)/((-29)/116). Suppose 0 = x*d - 25*d - 2968. List the prime factors of d.
2, 7, 53
Suppose 13*u + 0*u - 99091 = 173415. What are the prime factors of u?
2, 47, 223
Let w(o) = 6*o**3 + 10*o**2 - 53*o - 92. List the prime factors of w(9).
5, 13, 71
Let r be 1 + (16/(-10))/(2/5). Let s be 45/9 + r/1. Suppose 0 = 4*t - s*t - 424. What are the prime factors of t?
2, 53
Suppose 2*b = 81*c - 77*c + 25618, 5*b = 4*c + 64033. List the prime factors of b.
5, 13, 197
List the prime factors of ((-3909)/1)/((30/8)/(-5)).
2, 1303
Suppose 4*u + 117*n - 14075 = 120*n, 4*u = -n + 14055. List the prime factors of u.
5, 19, 37
Let a = 155 + -147. Suppose -4*p + x + 299 = 0, 72 + 80 = 2*p + 2*x. Let w = p + a. List the prime factors of w.
83
Suppose q = -l, -6*l + 4*q = -l - 45. Suppose 11*w - 654 = l*w. Let h = w - 36. List the prime factors of h.
73
Suppose -98*x = -122*x + 426936. What are the prime factors of x?
17789
Let k = -35 - -66. Suppose -30*f = -k*f + 3. Let x(i) = 4*i**3 - i**2 - 4*i. What are the prime factors of x(f)?
3, 29
List the prime factors of (-24)/3 - (-1)/((-5)/(-147970)*1).
2, 3, 4931
Suppose f + 5 = 19. Suppose -280 = 10*q - f*q. Suppose -4*v + q + 106 = 0. What are the prime factors of v?
2, 11
Suppose -2*n = 3*u - 12, -u - 9 = -5*n + 2*u. Suppose 0 = 3*o + n*r - 21, 25 + 10 = 5*o - 2*r. Suppose o*k = k + 12. What are the prime factors of k?
2
Let v(d) = -d**3 + 8*d**2 - 3*d + 1. Let w be v(3). Let z = 62 - w. Let f(c) = -2*c**2 + 58*c - 30. What are the prime factors of f(z)?
2, 5, 17
Suppose -501*i + 256*i + 257*i - 143388 = 0. List the prime factors of i.
3, 7, 569
Suppose 7*t - 900 = 2*t. Let s be (240/(-45))/((-1)/t). Suppose 0 = 3*r - 4*n + 43 - 619, 2*n + s = 5*r. List the prime factors of r.
2, 3
Suppose 0 = -3*g + 96 + 48. Suppose -12*m = -86 + 14. Let p = g + m. List the prime factors of p.
2, 3
Let m = 64 - 70. List the prime factors of 544/(-12)*m/4.
2, 17
Let f(o) = 8*o**3 + 2*o**2 + 6*o + 6. Let d be f(-2). Let y = d - -93. List the prime factors of y.
31
Let f(o) = 201*o - 677. List the prime factors of f(20).
3343
Let z be ((-4)/6)/((-11)/33) + 3. Suppose 1 = s + z, 0 = -3*d + 2*s + 14. Suppose p = 4*t + 19 + 84, p - 121 = -d*t. List the prime factors of p.
5, 23
Suppose 0 = -650*d + 647*d + 4*p + 15444, -20592 = -4*d + 2*p. What are the prime factors of d?
2, 3, 11, 13
What are the prime factors of 3 + (3 - 1)*(-48362)/(-4)?
2, 3023
Let k(p) = -8*p - 6. Let q be k(-1). Suppose 5*x - q*i - 6 = 6, 2*x + 4*i - 24 = 0. Suppose -x*j - j + 125 = 0. List the prime factors of j.
5
Let j(t) = -t**2 + 10*t + 18. Let u(n) = 2*n**2 - 9*n - 18. Let o(m) = 3*j(m) + 2*u(m). Let s = 81 - 97. List the prime factors of o(s).
2, 41
Suppose j - 4*h - 19 = 0, -3*j + 2*h + 14 + 3 = 0. Suppose 0*i = -j*i - 21. Let n(d) = 2*d**2 + 10*d + 3. List the prime factors of n(i).
31
Suppose 3*s + 2*s - 24417 = 2958. List the prime factors of s.
3, 5, 73
List the prime factors of 1 + 27166 + (-12)/(-30) + 4/(-10).
7, 3881
Suppose -4*q = 5*n - 8, 2*q + q = 4*n - 25. Let m be 35/(-28) + 3 + 1/4 + 0. Suppose -m*w = 2*l - 150 - 36, n*w = l + 387. List the prime factors of w.
2, 3
Let o(n) = n**2 + 2*n - 17. Let z be o(-7). Suppose -23*f = -20*f - z. What are the prime factors of f/(-4)*(-3450)/45?
5, 23
List the prime factors of (-4)/(-72)*2 + (-3178560)/(-135).
5, 17, 277
Let t(s) = 1508*s + 5249. What are the prime factors of t(26)?
3, 7, 29, 73
Let z = 19 + 183. Let n = -107 + 112. Suppose -5*b + z = 2*l, n*b - 240 = -3*l + 53. List the prime factors of l.
7, 13
Suppose 295*d + 1123 = 296*d. Suppose d - 4961 = -38*r. List the prime factors of r.
101
Suppose -11*n + 16*n = -r + 15525, 3*r - 4*n = 46670. List the prime factors of r.
2, 5, 311
Let t(g) = 89*g + 101. What are the prime factors of t(18)?
13, 131
Let o(z) = 35*z + 880. Let q be o(-25). Suppose 2*h + 3 + 1 = 0. What are the prime factors of 85/h*(-16)/q?
2, 17
Suppose 25360 = -42*i + 234814. List the prime factors of i.
4987
Let h(l) = -1616*l - 214. Let r(y) = 323*y + 42. Let t(k) = 2*h(k) + 11*r(k). What are the prime factors of t(2)?
2, 13
Suppose -27*s + 23*s = -3020. Let x = s - -19. What are the prime factors of x?
2, 3, 43
Suppose -63691 = -12*k + 198281. List the prime factors of k.
3, 19, 383
Let f be ((-4)/6 + 0)/((-10)/3780). Let w = 429 - f. Suppose 1367 = 7*g + w. List the prime factors of g.
2, 5, 17
Let d(b) = -b**3 + 31*b**2 + 44*b - 250. Let u be d(32). Suppose -125 = 4*m + 235. Let s = u + m. What are the prime factors of s?
2, 11
What are the prime factors of (21 + 1359/(-45))*((-7170)/(-4))/(-1)?
3, 23, 239
Suppose 0 = 13*r - 12*r - 241. Let s = r - -454. What are the prime factors of s?
5, 139
Suppose 0 = 4*o - 7*o - 6. Let x be o + 2 + 3 + 7. Suppose -x*a - 133 = -1063. What are the prime factors of a?
3, 31
Let i(n) = -994*n + 13. Let f be (-45)/36 - (-3)/12. List the prime factors of i(f).
19, 53
Suppose -489252 = -100*m + 2400548. What are the prime factors of m?
2, 14449
Suppose 13754 = -1905*z + 1928*z. List the prime factors of z.
2, 13, 23
Suppose 5*c + 3*k = 71058, 0 = c + 6*k - 4*k - 14206. What are the prime factors of c?
2, 3, 23, 103
Let s(j) = -j**2 - 132*j + 115. List the prime factors of s(-80).
3, 5, 19
Let m = 33 - -63. Suppose -4*k + 151 = -5*f, m = 3*k + 2*f - 0*f. Suppose -6*d + 368 = -k. List the prime factors of d.
67
List the prime factors of (-3876)/(1/(-21)*7).
2, 3, 17, 19
Let h = 894 - -396. Suppose 2*b + h = 8*b. Suppose -2*g + l + 172 = 2*g, -5*g - 5*l + b = 0. List the prime factors of g.
43
Suppose -119*k + 115*k = -p - 89189, p + 22295 = k. What are the prime factors of k?
2, 11149
Suppose 5 - 23 = -3*p. Let v(f) = -18*f - 93. Let x(q) = 14*q + 62. Let o(h) = 5*v(h) + 8*x(h). List the prime factors of o(p).
163
Suppose 10*a - 9 = -59. List the prime factors of (a/((-30)/219))/(6/252).
3, 7, 73
Suppose -680*q + 66708 = -671*q. What are the prime factors of q?
2, 17, 109
Let l = 15 - 10. Let g = -459 - -442. What are the prime factors of (3 + -3)/l - g?
17
What are the prime factors of (28/(-13) - (-44)/286) + 9112?
2, 5, 911
Suppose -71*m + 28106 = -70*m - 5*w, 3*w = 3*m - 84234. What are the prime factors of m?
3, 3119
List the prime factors of (-30 - -23) + (-149786)/(-14).
2, 3, 11
Let i be 2/(-34) + (-468)/(-153). Let c(o) = 65*o**2 + 29*o - 80. What are the prime factors of c(i)?
2, 37
Suppose 5*j = -3*m + 73, 44 = 3*m + j - 9. Suppose -4*y = -4*d - 5*y + 2656, -m
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 - 6*g + 1. Let m be q(-7). Let u(d) = 3*d. Let o = -24978 - -24961. Determine m*r(z) + o*u(z).
9*z
Let m(f) = 63*f - 5. Let s(x) = 725*x - 58. Suppose -4*u - 286 = -5*v, -146*v + 148*v + 2*u = 118. Determine v*m(i) - 5*s(i).
29*i
Let t(q) = -q**2 - q + 1. Let b be 207*-1 + 13/(312/48). Let j(z) = 41*z**3 + 205*z**2 + 205*z - 205. Determine b*t(f) - j(f).
-41*f**3
Let h(n) = 7*n**2 - 6*n + 19. Let b(f) be the third derivative of f**5/4 - 13*f**4/24 + 19*f**3/3 + 740*f**2. What is -6*b(m) + 13*h(m)?
m**2 + 19
Let o(p) = 93*p**3 - 21*p**2 - 13*p - 96. Let j(g) = 31*g**3 - 6*g**2 - 4*g - 33. Give 7*j(m) - 2*o(m).
31*m**3 - 2*m - 39
Let k(l) = -l**3 + 194*l**2 - 5*l + 8. Let i(f) = -2*f**3 + 386*f**2 - 10*f + 14. Calculate 4*i(c) - 7*k(c).
-c**3 + 186*c**2 - 5*c
Let m(s) = 222*s + 11. Let a(l) = 17*l + 1. Give -4*a(u) + m(u).
154*u + 7
Let n(g) = -73*g + 2. Let f(t) = -2628*t + 73. Suppose 0 = -86*d + 6838 - 6666. Determine d*f(a) - 73*n(a).
73*a
Let f(q) = 4*q**3 + 7*q**2 - 2*q + 2. Let i(g) = 9*g**3 - 2334*g**2 + 1174*g**2 + 5 + 1174*g**2 - 4*g. Determine 5*f(o) - 2*i(o).
2*o**3 + 7*o**2 - 2*o
Let m(y) = 5*y + 16 - 11 + 4*y - 3*y. Let b(d) = -2*d - 2. Let h = 2165 + -2168. Calculate h*m(r) - 8*b(r).
-2*r + 1
Let x(j) = -18*j + 9. Let u(y) = 9*y - 5. Let t = -1223 + 1229. Give t*x(a) + 11*u(a).
-9*a - 1
Let l be 6 + (-3*2 - (12 - (-15 + 26))). Let q(p) = 3*p**3 - 2*p**2 + 2*p + 5. Let z(h) = -h**3 - 1. What is l*q(t) - 6*z(t)?
3*t**3 + 2*t**2 - 2*t + 1
Suppose -3977 + 3261 = 358*r. Let u(l) = 5*l - 1. Let z(s) = -2*s + 7. Let n(h) = -h + 4. Let b(a) = 5*n(a) - 3*z(a). Calculate r*u(t) + 4*b(t).
-6*t - 2
Let c(p) = -p**2 + 14*p - 25. Let o(q) = q**2 - 6*q + 13. Determine 3*c(r) + 5*o(r).
2*r**2 + 12*r - 10
Let j be ((-12)/14)/(1/(-7)). Let d = 1593 - 2607. Let r = d - -1015. Let b(x) = -1. Let p(t) = -t**2 + 6. Calculate j*b(o) + r*p(o).
-o**2
Let s(q) = 4 - 18 + 7 + 6. Let p(h) = -7*h + 25. Let b(m) = -3*m + 12. Let t(n) = 5*b(n) - 2*p(n). What is -18*s(v) - 2*t(v)?
2*v - 2
Let f(d) = 11*d**3 - 15*d**2 + 50*d - 10. Let o(w) = -w**3 - 8*w + 1. Calculate f(u) + 8*o(u).
3*u**3 - 15*u**2 - 14*u - 2
Let z(n) = -n**2 - 13*n - 4. Let a be z(-13). Let j(q) = -31*q**2 - 9 + 34*q**2 + 14 - 3*q + 4*q. Let w(o) = 3*o**2 + o + 6. What is a*j(k) + 3*w(k)?
-3*k**2 - k - 2
Let w(h) = -h - 2*h**2 + 6*h + 4*h**3 - 5*h. Suppose -9*n + 2*n + 42 = 0. Suppose -4*v = 3*i + i, -2*i + n = 5*v. Let z(l) = -l**3 + l**2. Give v*z(j) + w(j).
2*j**3
Let a(n) = -13*n - 12 - 1 + 12. Let j(s) = s + 7*s + 1 - s. Let l(t) = -6*a(t) - 11*j(t). Let f(i) = -1. Give -3*f(u) + l(u).
u - 2
Let t(a) = -2*a**3 + 699*a**2 + 12*a - 3. Let x(v) = 2*v**3 - 691*v**2 - 15*v + 2. Calculate 5*t(b) + 4*x(b).
-2*b**3 + 731*b**2 - 7
Let g(u) be the first derivative of 3 - u + 1/2*u**2. Let j = 346 + -347. Let b(p) = -p**2 + 3*p - 3. Determine j*b(k) + 3*g(k).
k**2
Let q(z) = z**2 - z - 4. Let m(s) = 28 - 49 + 2*s + 28 - 9*s**2 + 13. Let i(u) = -10*u**2 + u + 19. Let p(t) = -3*i(t) + 4*m(t). Calculate -6*p(g) - 34*q(g).
2*g**2 + 4*g - 2
Let k(m) = -10*m**2 + m - 1. Suppose -795 = -3*l - 3*u - 753, 2*l - 35 = -3*u. Let y = -5 + 3. Let b(i) = -3*i**2. Calculate l*b(f) + y*k(f).
-f**2 - 2*f + 2
Let a(p) be the first derivative of -3*p**2/2 + 2*p + 565. Let o(k) = -2*k + 1. Let f = -7 + 10. Give f*a(z) - 5*o(z).
z + 1
Let v(u) = 11*u - 64. Let x(p) = 19 + 0*p + 33 + 23 - 4*p - 54. Give 6*v(g) + 17*x(g).
-2*g - 27
Let j(c) = 13*c**2 - 4*c + 7. Let o(i) be the third derivative of 19*i**5/60 - i**4/4 + 11*i**3/6 + 4624*i**2 - 2*i. Determine -8*j(h) + 5*o(h).
-9*h**2 + 2*h - 1
Suppose 6*z + 143 + 333 = -11*z. Let x(r) = -6*r**3 - 7*r**2 - 7*r - 7. Let p(h) = -h**2 - h - 1. Give z*p(g) + 4*x(g).
-24*g**3
Let m(a) = -a**3 + a**2 - a. Let l = 3 + -1. Let d(s) = -218*s**3 + 4*s**l + 216*s**3 - 1 + 1 - 3*s. Let k be 26/(-143) + 26/22. What is k*d(c) - 4*m(c)?
2*c**3 + c
Let h(r) = -49*r + 174 + 23*r - 189 + 25*r. Let g(o) = o + 8. Suppose 0 = 4*w + 282 - 238. Calculate w*g(a) - 6*h(a).
-5*a + 2
Let u(v) = 5*v**2 - 261. Let o(z) = 4*z**2 - 269. Determine 9*o(k) - 8*u(k).
-4*k**2 - 333
Let a(m) = -16*m**3 + 6*m**2 + 5*m - 17. Let s(k) = 32*k**3 - 12*k**2 - 8*k + 35. Calculate -5*a(x) - 3*s(x).
-16*x**3 + 6*x**2 - x - 20
Let n(x) = -9*x**2 + 44*x + 1257. Let t(o) = -2*o**2 + 9*o + 251. Calculate -4*n(a) + 19*t(a).
-2*a**2 - 5*a - 259
Let i(k) be the second derivative of 0*k**2 - 1/6*k**3 + 0 + k. Let c(g) = g**3 + 2*g**2 - 7*g. Suppose -574 = 1136*s - 1177*s. What is s*i(r) - 2*c(r)?
-2*r**3 - 4*r**2
Let r(k) = -1451*k**2 - 2*k - 2. Let v(n) = -88519*n**2 - 123*n - 123. Calculate 246*r(b) - 4*v(b).
-2870*b**2
Let h(u) = u**2 + u. Let f be (-20)/30*(-6)/4. Let g be (-1 + -2)*2/(f - 3). Let a be g + -5 + -2*(-9)/6. Let k(d) = 4*d**2 + 8*d. What is a*k(l) - 8*h(l)?
-4*l**2
Suppose 8 = -f + 3*i, -4*i = 19*f - 15*f. Let w(g) = 40*g**2. Let v(a) = a**2. Give f*w(z) + 60*v(z).
-20*z**2
Let i be 14/8*768/448. Let u(l) = -l - 7. Let w be u(-10). Let y(t) = -w*t**3 + 3 - 4*t + 2 - 6 - 1. Let a(j) = -4*j**3 - 5*j - 3. What is i*y(c) - 2*a(c)?
-c**3 - 2*c
Let u(o) = o + 1. Let g(n) be the second derivative of -2*n**3/3 - n + 4249. Determine g(p) + 3*u(p).
-p + 3
Let x(z) be the second derivative of -z - 3*z**2 - 1/6*z**3 + 0. Let o = -512268 + 512272. Let i(f) = -f + 1. Determine o*i(v) + x(v).
-5*v - 2
Let k(w) = 357*w + 49. Let l(h) = -12*h + 1. Give k(s) + 28*l(s).
21*s + 77
Let o(k) = -k + 926. Let f(j) = j + 956. Determine 2*f(q) - 3*o(q).
5*q - 866
Let q(l) = 48*l**3 + 7*l**2 + l + 1. Let j(x) = -44*x**3 - 6*x**2 - x - 2. What is 4*j(t) + 3*q(t)?
-32*t**3 - 3*t**2 - t - 5
Suppose 48*o + 31 = 32 - 145. Let b(u) = u**3 + 3*u**2 + 15. Let d(m) = m**2 + 7. Determine o*b(z) + 7*d(z).
-3*z**3 - 2*z**2 + 4
Let a(n) = 2*n + 1. Let v(o) = -2*o**2 + 4*o + 208. Give -a(m) + v(m).
-2*m**2 + 2*m + 207
Suppose -3*g = 6 - 18. Suppose -3*d - 1 = 2*y, -g*y + 2 = 2*d - 0. Let j(t) = -t**2 - t - 1. Let h(o) = 2*o**2 + 3*o + 5. Determine d*h(u) - 5*j(u).
3*u**2 + 2*u
Let z(v) = -32*v**2 + 359*v - 55. Let b(t) = -17*t**2 + 178*t - 29. Determine -17*b(q) + 9*z(q).
q**2 + 205*q - 2
Let o(f) = -9*f**2 - 3*f - 8. Let h(d) = 8*d**2 + 2*d + 7. Let x(n) = -3*h(n) - 2*o(n). Let c be 1/6 - 133/6. Let m(w) = -w**2 - 1. Give c*m(u) + 4*x(u).
-2*u**2 + 2
Let s(u) = -u**2 + 3*u. Let x(y) = -2*y**2 + 5*y. Suppose 3 + 12 = 3*h. Suppose -2*a = 0, -4*k = -5*k - 4*a - h. Let i = -6 + 9. Give i*x(m) + k*s(m).
-m**2
Let f(g) = -g**2 + 4*g + 1. Let y(s) = -7403*s**2 + 21536*s + 5384. What is 5384*f(h) - y(h)?
2019*h**2
Let n(q) = -19*q - 4. Let c(d) be the second derivative of 19*d**3/6 + 3*d**2/2 + 2857*d. Determine 6*c(x) + 5*n(x).
19*x - 2
Let h(p) = 43*p**3 - 6*p - 6. Let o(g) = 1850*g**3 - 259*g - 259. Suppose -1319 = 5*y - 4*s, -524 = 2*y + 21*s - 22*s. Determine y*h(t) + 6*o(t).
-37*t**3
Let w(k) = -9*k**3 + 13*k**2 - k. Let j be (858/(-330))/(2/10). Let d(c) = 4*c**3 - 6*c**2 + c. Determine j*d(r) - 6*w(r).
2*r**3 - 7*r
Let x(m) = 34*m**2 - 18*m + 71. Let s(y) = 32*y**2 - 26*y + 71. What is 2*s(j) - 3*x(j)?
-38*j**2 + 2*j - 71
Let j(k) = -k. Let g = -1190 + 1196. Let r(l) = -4*l + 8. Calculate g*j(b) - r(b).
-2*b - 8
Suppose 96 + 133 = -198*p - 167. Let d(m) = 41*m**2 - 2*m - 1. Let g(z) = z**2 + z. Determine p*g(w) - d(w).
-43*w**2 + 1
Let p(m) be the second derivative of -m**4/3 + 2*m**2 - 5*m. Let d(a) = a**3 - a**2 + 1. Let g = 5 + 0. Suppose 10*u = g*u - 20. What is u*d(j) + p(j)?
-4*j**3
Let y(z) = 4*z**2 - 8*z - 6. Let w(m) = 3*m**2 - 7*m - 5. Let i = 1269 + -1275. Determine i*w(x) + 5*y(x).
2*x**2 + 2*x
Let x(o) = -52*o**3 + 15*o**2 + 88*o + 6. Let c(s) = 28*s**3 - 8*s**2 - 44*s - 3. What is -11*c(l) - 6*x(l)?
4*l**3 - 2*l**2 - 44*l - 3
Let v(p) = -p**2 - 3*p. Let a(k) = 6*k**3 + 1286*k**2 + 15*k. What is a(g) + 5*v(g)?
6*g**3 + 1281*g**2
Let q(x) = -11438173*x. Let g(o) = 5403*o. Calculate 10586*g(f) + 5*q(f).
5293*f
Let z(c) = -8*c**2 + 18*c + 4112. Let k(b) = 42*b**2 - 96*b - 20558. Give 3*k(y) + 16*z(y).
-2*y**2 + 4118
Let d(i) = -2*i. Let s(t) = 3*t - 1. Let a(u) = -5*d(u) - 4*s(u). Let v(z) be the first derivative of 1 - z - 11 + 4 + 2. What is -a(g) - 3*v(g)?
2*g - 1
Let n(f) = 9*f**2 + f - 36*f**2 + 0*f + 26*f**2. Let i(v) = -3*v**
|
{
"pile_set_name": "DM Mathematics"
}
|
23. Put b, -6, 10, 4 in ascending order.
-6, 4, b, 10
Suppose 22*t - 147 = 169*t. Put 1, 5, -6, -3, t in decreasing order.
5, 1, t, -3, -6
Let y = -1387/5500 + 3/1375. Put -4/5, 4, 2/7, -0.189, y in increasing order.
-4/5, y, -0.189, 2/7, 4
Let r = 7615 - 7617. Sort r, 0, 179 in descending order.
179, 0, r
Let a = 232 + -233. Put -4, 14, 0, a, -21 in descending order.
14, 0, a, -4, -21
Let z = 108.37 - 1.37. Let u = 108 - z. Put -0.036, u, -2/5 in increasing order.
-2/5, -0.036, u
Let w = -1/16 - -43/176. Let k = -21.45 - -21. Let d = 0.05 + k. Sort w, d, -3/7.
-3/7, d, w
Let v = -2087701/12988 + -30/3247. Let l = v - -160. Sort -2, -1.6, l.
-2, -1.6, l
Let g = 3050 - 3050.5. Sort -90/7, 0, -1, 1, g.
-90/7, -1, g, 0, 1
Let a = 6 - -7. Let p = 1264086 - 1264081. Put 2, p, a in descending order.
a, p, 2
Let b = 0.6 + -0.1. Let t = 290.81106 + -0.72106. Let a = t - 290. Sort a, 2/17, 3, b in ascending order.
a, 2/17, b, 3
Let h = -206.9 + 192.9. Put -1, h, -74 in increasing order.
-74, h, -1
Suppose 3879*i = 3864*i. Put -2, i, 4, 2, -20 in descending order.
4, 2, i, -2, -20
Suppose -r = -2, -20*n - 38 = -22*n - 3*r. Suppose 397*t - n = 405*t. Sort -6, -3, t, 4 in descending order.
4, t, -3, -6
Suppose 2*r + r + 9 = 0. Suppose -k - 4*b - 56 = 0, 3*k - 2*k = 2*b - 44. Let j be (3/(-3))/(6/k*-4). Sort j, 3, 1, r in ascending order.
r, j, 1, 3
Let i = 0.361 - 67.161. Let l = i - -64.8. Put 0.1, -1, 2, l in descending order.
2, 0.1, -1, l
Let x be (-370)/(-25) - (1 + (-6)/5). Let n be 3/x*1 + 840/50. Sort 6, -2, -5, n in ascending order.
-5, -2, 6, n
Let z = -4024 + 4282. Sort 4, -1/4, z in increasing order.
-1/4, 4, z
Let b(p) = p + 2. Let s be b(-6). Let q = -11/868 - -673/1736. Sort s, -0.1, q, 82 in decreasing order.
82, q, -0.1, s
Let y be -6 + 47*(8 + -2). Let d = y + -277. Put d, -5, -2 in ascending order.
-5, -2, d
Suppose 30*k = 6*k - 24. Let q(t) = -t**3 + 3*t**2 + 7*t + 3. Let p be q(k). Sort -2, 4, 5, p in ascending order.
-2, p, 4, 5
Suppose 4*t - q + 1 = -211, -5*q - 236 = 4*t. Let f be (32/144)/(1/t*-3). Let s = 123/2 - 67. Put s, 5, -4/3, f in increasing order.
s, -4/3, f, 5
Let z = -5366 - -5370. Sort z, 6, -1/8 in descending order.
6, z, -1/8
Let b be ((-8)/(-8))/((-1)/(-224)). Suppose -4*p = 4*p - b. Let r be 21/(-105) + p/(-10). Put 7, r, 3 in increasing order.
r, 3, 7
Let a be ((-380)/(-152))/((-5)/(-12)). Let y be (-32)/(-6) + (-1)/3. Sort y, 8, a.
y, a, 8
Let k = -174 - -178. Let x be ((-6)/(-4))/(k/8). Sort 2, x, -4 in descending order.
x, 2, -4
Let o = 0.33 - 0.03. Let d = 0.2 - o. Let i(q) = q**2 - 103*q + 2575. Let m be i(43). Sort d, m, -3, -2/5 in decreasing order.
d, -2/5, -3, m
Suppose -87232*v = -87266*v - 170. Let i(z) = z**2 - 5*z. Let y(l) = l**2 - 5*l + 5. Let p be y(5). Let x be i(p). Put -4, 41, v, x in ascending order.
v, -4, x, 41
Let i = 27.137 - 0.137. Let a = -28.57 + -0.43. Let p = a + i. Put -3, -1, 0.2, p in descending order.
0.2, -1, p, -3
Let m = -6 - -10. Suppose -69 = -6*t + 3. Suppose 12*k + 3*q + t = 17*k, -4*k = 7*q + 28. Sort m, k, 3 in decreasing order.
m, 3, k
Suppose -324*z - 92 = -664*z + 432*z. Sort -25, z, 4/17.
-25, z, 4/17
Let h = -2.6 + -10.4. Let w = 0.13222 + -0.53222. Sort -3, h, w, 0 in descending order.
0, w, -3, h
Suppose -36*n - 25 = -31*n. Let b(k) = -k**2 + 6*k + 4. Let y be b(6). Let o = -7 - -12. Sort n, o, -2, y in increasing order.
n, -2, y, o
Let r(b) = -15*b - 11. Suppose -25*j + 31*j = -12. Let z be r(j). Let o be z/(-95) + 16/30 + -2. Put o, 5, 1 in increasing order.
o, 1, 5
Suppose -8*v + 34 = -12*v + 5*t, 5*v = 2*t - 17. Put v, 49, 1, 2, 10 in descending order.
49, 10, 2, 1, v
Let h(b) = -4*b + 45. Let w be h(11). Let a be (w - 1) + (-27)/9. Put 34, 4, a in descending order.
34, 4, a
Suppose -7*h + 2*h = -10. Suppose 17 = 5*i + h*g, i + 3*i + 5*g = 0. Let o = -43891 - -43891. Sort i, o, -17 in decreasing order.
i, o, -17
Let l(f) = -2*f**2 + 19*f + 14. Let x be l(10). Let y be 70/(-49) + x/(-7). Put y, 2/3, -8, 0.1 in descending order.
2/3, 0.1, y, -8
Suppose z = -5*p + 67, -4*z - 56 + 288 = 2*p. Suppose 5*w = -3*a - z, 11*w - 5*a - 2 = 9*w. Put -1, w, -4 in decreasing order.
-1, -4, w
Let w = 345.8 - 345.761. Sort -4/5, 0.3, 3, w, 5 in descending order.
5, 3, 0.3, w, -4/5
Let q = -3821 - -3836. Sort -3, q, 7 in descending order.
q, 7, -3
Let v = -7.61 + 7.5544. Let h = -3.9444 + v. Put -263, -2/3, 2/5, h in increasing order.
-263, h, -2/3, 2/5
Suppose 0 = -2*q, -8*q - 316 = -4*d - 7*q. Sort 51, d, -2.
-2, 51, d
Let r(i) = 15*i - 274. Let h be 68 + -55 - (-6 + (3 - 2)). Let t be r(h). Sort 87, 2, -5, t.
-5, t, 2, 87
Let m = 6/311 + -772/7775. Let k be ((-68)/42 + (-16)/(-56))/(58236/3798). Sort m, k, 0.5.
k, m, 0.5
Let a = 26167 + -26169. Sort a, -1/12, -117 in ascending order.
-117, a, -1/12
Suppose 8*d - 54 = -19*d. Let r(t) = -t**2 + 5*t + 1. Let y be r(6). Sort d, y, -2.
y, -2, d
Suppose 12*o = 9*o, -6*l + 4*o - 12 = 5*o. Let b be -1*((-7)/(-1) + -2). Sort -4, l, b in decreasing order.
l, -4, b
Let k(d) = -d**2 - 87*d - 263. Let a be k(-3). Put a, 5, 2 in descending order.
5, 2, a
Suppose -3*w + 15 = 0, -39 = 3*i - 5*w - 14. Let h(r) = -r**2 - 9*r + 31. Let q be h(-12). Put -2, q, 2, i in ascending order.
q, -2, i, 2
Let m = 21421.5 - 21421. Sort 0.4, -0.06, 12, m, -2.
-2, -0.06, 0.4, m, 12
Suppose 9*f + 144 = -2*b + 5*f, 0 = -3*f + 12. Let r = b + 72. Put r, -2, 2 in ascending order.
r, -2, 2
Let t = 7608 + -7602. Sort t, -5/2, 7 in descending order.
7, t, -5/2
Let j(v) = v - 9. Let h be j(9). Let l(m) = -21*m**2 - 505*m - 20. Let x be l(-24). Suppose -5*s + 9*s - x = h. Sort 2, -8, s, -0.4 in descending order.
2, s, -0.4, -8
Let p(y) = y**3 - 8*y**2 + 5. Let n be p(8). Suppose 0 = -3*b + 22 - 13. Suppose -b*w = 2*w + 10. Sort -4, w, n in descending order.
n, w, -4
Let j(y) = 2*y + 30. Let h be j(-6). Let m = 262 + -261. Let r(s) = -s - 1. Let k be r(4). Sort m, k, h.
k, m, h
Let q = 4833.93 - 4837.93. Suppose 0*k = 4*h - 5*k + 17, 5*h + 4*k = 30. Let l = 11 + -21/2. Sort -1/4, h, q, l in decreasing order.
h, l, -1/4, q
Let o = 4201 - 4194.939. Let m = o - 0.061. Sort 1, -1/4, m, 3 in decreasing order.
m, 3, 1, -1/4
Let o be (18/8)/(-3) + (-195)/(-52). Let z be o + (14/4 - 12/(-24)). Let y be (34 - z)*(-1 + 0). Put 0, 3, -1, y in decreasing order.
3, 0, -1, y
Let a(i) = 7*i + 41. Let f(g) = 6*g + 37. Let y(q) = 2*a(q) - 3*f(q). Let r be y(-2). Put -4, r, 0 in descending order.
0, -4, r
Let x = 4 + -6. Let i(j) = j**3 - 49*j**2 - 148*j + 30. Let w be i(52). Let n = 446 - w. Put x, 2, n in decreasing order.
2, n, x
Let u = 35 - 37. Let k = 444.6 - 444.7. Put k, -9, u in ascending order.
-9, u, k
Let u = -421.9 - -421.5. Put 2, 1/5, -2/9, u, -0.3 in increasing order.
u, -0.3, -2/9, 1/5, 2
Suppose 306*j = 213*j - 465. Put j, -110, 35 in ascending order.
-110, j, 35
Let j(t) = -t**3 - 26*t**2 + 66*t + 281. Let n be j(-28). Put n, -11, 3, -6 in decreasing order.
3, n, -6, -11
Let f = -2198 - -2387. Sort f, 1, 2/17, 1/8, -0.1 in ascending order.
-0.1, 2/17, 1/8, 1, f
Let b = -11.566 + 11.266. Put b, -12, -5, 6/7, -4 in increasing order.
-12, -5, -4, b, 6/7
Let p = 1.0583 - 40.0583. Sort p, 1/3, -1 in descending order.
1/3, -1, p
Let w be (-2 - -2 - -1)*0. Sort 22, w, -3.
-3, w, 22
Suppose 3*r + 27 = -3*s, 0 = 192*s - 194*s - 12. Sort 4, 5, 60, r, -5.
-5, r, 4, 5, 60
Let n(h) be the third derivative of h**4/12 + h**3/6 + h**2. Let r be n(1). Suppose -261*d - 24 = 263*d - 530*d. Sort r, d, 5 in ascending order.
r, d, 5
Let z be (342/(-48) - -7) + 11/88. Sort -2, -32, 2, z, -9 in ascending order.
-32, -9, -2, z, 2
Let c(s) = -2 - 20 + 29 + 55 + 12 - 14*s. Let g be c(5). Sort -15/8, -0.3, g in decreasing order.
g, -0.3, -15/8
Let s be ((-2)/4)/((-255)/306). Put 1, -6, s, -8, 0 in increasing order.
-8, -6, 0, s, 1
Let z(x) = -x**2 - 20*x + 1311. Let j be z(-46). Put 2, 1, j in increasing order.
1, 2, j
Let m = 0.121 - -9.779. Let i = 33.52 - 33.62. Put m, 0.1, i in increasing order.
i, 0.1, m
Let f(l) = -637*l - 22933. Let m be f(-36). Let w be -2*(15/6 + -1). Sort m, 1, w, 4 in descending order.
4, 1, m, w
Let b = 1.122 + -1.24. Let m = b - -0.018. Sort 2/11, 5/4, -5, m in decreasing order.
5/4, 2/11, m, -5
Suppose -2 + 11 = f. Suppose -f = 5*i + 6. Let t be 10/(-2) - 9/
|
{
"pile_set_name": "DM Mathematics"
}
|
ers picked without replacement from wwowwawwd. Give prob of sequence daw.
1/84
Two letters picked without replacement from ijztiwd. What is prob of sequence dz?
1/42
Three letters picked without replacement from scqqcqchzbchcbhszc. Give prob of sequence hch.
1/136
What is prob of sequence gc when two letters picked without replacement from hccggcc?
4/21
Four letters picked without replacement from ooobbboooobobbooobo. What is prob of sequence bbbo?
35/1292
Calculate prob of sequence nxxq when four letters picked without replacement from {y: 7, k: 1, n: 3, b: 2, q: 1, x: 4}.
1/2040
Three letters picked without replacement from hrrkrkkrrrrkrrroorr. Give prob of sequence hor.
4/969
Three letters picked without replacement from {f: 15, r: 4}. Give prob of sequence frr.
10/323
What is prob of sequence zzz when three letters picked without replacement from xxzxxxxxxzxxx?
0
Three letters picked without replacement from lfxxl. What is prob of sequence xlf?
1/15
What is prob of sequence oqqs when four letters picked without replacement from qssssaooaoaaqoa?
4/4095
Two letters picked without replacement from yhfhfhwwhhyh. What is prob of sequence yf?
1/33
Two letters picked without replacement from fslyylyylylylslysalf. Give prob of sequence fs.
3/190
Calculate prob of sequence lx when two letters picked without replacement from {h: 2, l: 1, s: 1, f: 1, t: 1, x: 1}.
1/42
Two letters picked without replacement from dkddzkkzddkk. Give prob of sequence dd.
5/33
What is prob of sequence nk when two letters picked without replacement from bnwnk?
1/10
What is prob of sequence zgg when three letters picked without replacement from gzogg?
1/10
What is prob of sequence ffo when three letters picked without replacement from {o: 2, f: 2}?
1/6
Four letters picked without replacement from {x: 1, g: 11, y: 4, d: 1, u: 1}. Give prob of sequence xuxd.
0
Calculate prob of sequence jsj when three letters picked without replacement from {s: 1, j: 4, x: 1, q: 3, k: 2}.
2/165
Three letters picked without replacement from nnzwzzenzwj. Give prob of sequence zzw.
4/165
What is prob of sequence ayk when three letters picked without replacement from {h: 5, k: 1, y: 9, u: 1, a: 4}?
1/190
What is prob of sequence dddt when four letters picked without replacement from {d: 7, t: 3}?
1/8
Four letters picked without replacement from bbbbbbbwbbww. What is prob of sequence bbbb?
14/55
What is prob of sequence mr when two letters picked without replacement from {m: 1, r: 2}?
1/3
Three letters picked without replacement from {x: 1, h: 2, l: 4, w: 2}. Give prob of sequence hlx.
1/63
What is prob of sequence jp when two letters picked without replacement from dggggjpggggggd?
1/182
Two letters picked without replacement from zzzmzszzzmmms. What is prob of sequence zs?
7/78
Calculate prob of sequence tgg when three letters picked without replacement from {k: 4, g: 2, s: 4, a: 4, t: 6}.
1/570
Four letters picked without replacement from vidmhxv. What is prob of sequence ivmv?
1/420
What is prob of sequence eee when three letters picked without replacement from {e: 5}?
1
Three letters picked without replacement from {l: 1, a: 3, e: 1, j: 9}. What is prob of sequence jaa?
9/364
What is prob of sequence uf when two letters picked without replacement from {w: 1, t: 2, p: 2, u: 1, f: 1}?
1/42
Four letters picked without replacement from ivsxsls. What is prob of sequence isvs?
1/140
Calculate prob of sequence nncm when four letters picked without replacement from {u: 1, m: 1, c: 4, n: 4}.
1/105
What is prob of sequence uv when two letters picked without replacement from {t: 1, v: 1, y: 1, f: 2, u: 1, r: 1}?
1/42
Calculate prob of sequence us when two letters picked without replacement from {u: 1, m: 1, k: 1, g: 1, s: 1}.
1/20
Calculate prob of sequence zv when two letters picked without replacement from szlhhwhhvssh.
1/132
Calculate prob of sequence ii when two letters picked without replacement from kfficifici.
2/15
Two letters picked without replacement from iwiwiww. Give prob of sequence iw.
2/7
Calculate prob of sequence loi when three letters picked without replacement from {o: 2, r: 1, l: 1, i: 1}.
1/30
Calculate prob of sequence fwmz when four letters picked without replacement from wzsmmzyzfzfwzmm.
2/819
Two letters picked without replacement from hkhykyyohynvhhy. Give prob of sequence kk.
1/105
What is prob of sequence jk when two letters picked without replacement from sqjqjjkjx?
1/18
Calculate prob of sequence de when two letters picked without replacement from {e: 5, d: 8}.
10/39
What is prob of sequence jjrr when four letters picked without replacement from {r: 3, j: 2}?
1/10
Three letters picked without replacement from {j: 7, h: 2, b: 2}. Give prob of sequence bjh.
14/495
Three letters picked without replacement from bvikliwkkib. What is prob of sequence ili?
1/165
Two letters picked without replacement from {o: 2, p: 6, s: 3, x: 2, v: 3, k: 2}. Give prob of sequence xv.
1/51
Three letters picked without replacement from {y: 3, t: 2, h: 4}. Give prob of sequence hyt.
1/21
Calculate prob of sequence pr when two letters picked without replacement from {u: 3, p: 1, o: 1, r: 1, m: 1}.
1/42
Two letters picked without replacement from nnnnnnnncnnnnnnnnn. What is prob of sequence cn?
1/18
Two letters picked without replacement from zzzzzzzzzziz. What is prob of sequence zi?
1/12
Two letters picked without replacement from {b: 2, k: 2, l: 6, u: 2, q: 1, e: 4}. Give prob of sequence qe.
1/68
Two letters picked without replacement from zqzq. What is prob of sequence qq?
1/6
Two letters picked without replacement from {m: 5, h: 3, n: 3, y: 6, q: 1, e: 2}. Give prob of sequence eh.
3/190
Calculate prob of sequence wwu when three letters picked without replacement from {w: 3, z: 2, o: 1, u: 2, b: 2, f: 2}.
1/110
Two letters picked without replacement from cbbccccccccccccccccb. Give prob of sequence bb.
3/190
Calculate prob of sequence pdte when four letters picked without replacement from oodtedootdpb.
1/1980
Two letters picked without replacement from {d: 2, i: 4, k: 2, m: 2, a: 1, v: 3}. Give prob of sequence va.
3/182
Two letters picked without replacement from ohftpaafh. What is prob of sequence oo?
0
Two letters picked without replacement from zbbvlfkz. What is prob of sequence zl?
1/28
Four letters picked without replacement from eeeeff. Give prob of sequence feef.
1/15
What is prob of sequence mmms when four letters picked without replacement from sssdddddmmdddddssmm?
5/3876
Four letters picked without replacement from kfkkkkkkfkk. Give prob of sequence ffkk.
1/55
Four letters picked without replacement from {n: 6, l: 9, e: 4}. What is prob of sequence nell?
6/323
What is prob of sequence bkyu when four letters picked without replacement from kykkykuynbu?
1/330
Three letters picked without replacement from nffpnpffqfrqqq. Give prob of sequence fnq.
5/273
Four letters picked without replacement from cccccccddccccd. What is prob of sequence cddd?
1/364
Four letters picked without replacement from pipiqq. Give prob of sequence pqii.
1/45
What is prob of sequence ixl when three letters picked without replacement from ilix?
1/12
Calculate prob of sequence mcmz when four letters picked without replacement from {n: 1, z: 7, m: 4, l: 1, c: 1, t: 4}.
7/6120
Three letters picked without replacement from {q: 1, d: 7, v: 6, n: 3}. Give prob of sequence ndv.
21/680
What is prob of sequence tvtt when four letters picked without replacement from tvtvvvvvvvtvvvtvvt?
13/1224
Calculate prob of sequence sdps when four letters picked without replacement from {s: 3, l: 1, p: 1, d: 2, w: 3, j: 2}.
1/990
Four letters picked without replacement from bnbggngbbgbnbggnbbb. What is prob of sequence bbbb?
21/646
Two letters picked without replacement from kvbvkkbvkkkv. Give prob of sequence vk.
2/11
Two letters picked without replacement from {m: 4, w: 3, k: 1, h: 4, s: 2, a: 3}. Give prob of sequence wm.
3/68
Two letters picked without replacement from huhuuhciuhuhhuhhu. What is prob of sequence ci?
1/272
Two letters picked without replacement from {w: 3, q: 1, x: 6, k: 3}. What is prob of sequence qx?
1/26
Two letters picked without replacement from ffsissd. What is prob of sequence sd?
1/14
Calculate prob of se
|
{
"pile_set_name": "DM Mathematics"
}
|
of 128101409?
17, 103, 149, 491
List the prime factors of 1706860878.
2, 3, 281, 1012373
What are the prime factors of 201286737?
3, 97, 2377
List the prime factors of 131228644.
2, 17, 83, 23251
What are the prime factors of 4573457457?
3, 101, 15093919
What are the prime factors of 53707008?
2, 3, 69931
List the prime factors of 106171541.
7, 859, 17657
What are the prime factors of 942657736?
2, 117832217
What are the prime factors of 329555547?
3, 4068587
What are the prime factors of 2175082762?
2, 229, 863, 5503
List the prime factors of 192624809.
13, 14817293
List the prime factors of 21978254.
2, 10989127
What are the prime factors of 84210994?
2, 7, 1663, 3617
List the prime factors of 3649325553.
3, 17, 73, 326737
What are the prime factors of 1603892980?
2, 5, 19, 4220771
What are the prime factors of 5770973?
13, 17, 26113
List the prime factors of 3403471912.
2, 47, 9051787
List the prime factors of 93844375.
5, 150151
What are the prime factors of 104523553?
5813, 17981
What are the prime factors of 169978031?
9403, 18077
What are the prime factors of 1363024397?
7, 194717771
List the prime factors of 1474496909.
29, 83, 89, 6883
What are the prime factors of 78872893?
11, 7170263
What are the prime factors of 7853712079?
47, 167100257
What are the prime factors of 4759409189?
4759409189
List the prime factors of 2185773738.
2, 3, 73, 79, 181, 349
List the prime factors of 1263302223.
3, 53, 89, 89273
List the prime factors of 23195603.
1483, 15641
What are the prime factors of 493048461?
3, 19, 8649973
What are the prime factors of 107976442?
2, 7, 7712603
List the prime factors of 369861806.
2, 31, 149, 40037
What are the prime factors of 230608820?
2, 5, 13, 587, 1511
List the prime factors of 888313192.
2, 13, 8541473
List the prime factors of 704823664.
2, 43, 853, 1201
What are the prime factors of 251302618?
2, 7, 17950187
List the prime factors of 71066013.
3, 23688671
What are the prime factors of 68787546?
2, 3, 239, 47969
What are the prime factors of 54997031?
41, 181, 7411
What are the prime factors of 610038369?
3, 61, 1111181
List the prime factors of 97181771.
79, 307, 4007
What are the prime factors of 68073301?
68073301
What are the prime factors of 35930598?
2, 3, 11, 544403
What are the prime factors of 22504284?
2, 3, 11, 19, 997
List the prime factors of 1110136979.
7, 59, 2687983
What are the prime factors of 397840572?
2, 3, 563, 727
List the prime factors of 69897143.
19, 3678797
List the prime factors of 7700610584.
2, 29, 71, 467497
List the prime factors of 38502329.
43, 419, 2137
What are the prime factors of 173995230?
2, 3, 5, 23, 461, 547
What are the prime factors of 278326154?
2, 139163077
What are the prime factors of 154189641?
3, 859, 59833
List the prime factors of 2981390042.
2, 23, 1163, 2423
List the prime factors of 37996683.
3, 17, 745033
What are the prime factors of 5781207811?
5781207811
What are the prime factors of 119916978?
2, 3, 541, 36943
What are the prime factors of 513465618?
2, 3, 101, 547, 1549
List the prime factors of 279605794.
2, 13, 151, 229, 311
What are the prime factors of 168834745?
5, 1801, 18749
List the prime factors of 44487820.
2, 5, 13, 397, 431
What are the prime factors of 609458856?
2, 3, 181, 307, 457
What are the prime factors of 2202323?
193, 11411
What are the prime factors of 618488813?
41, 15085093
What are the prime factors of 2710959477?
3, 903653159
List the prime factors of 1741608530.
2, 5, 23, 7572211
What are the prime factors of 2219731103?
41, 54139783
What are the prime factors of 264840062?
2, 7993, 16567
List the prime factors of 38155939.
17, 631, 3557
List the prime factors of 2355238763.
191, 12331093
What are the prime factors of 329393903?
173, 1904011
What are the prime factors of 106195958?
2, 11, 181, 26669
What are the prime factors of 2817083359?
73, 683, 56501
What are the prime factors of 1898743334?
2, 23, 41277029
List the prime factors of 174382551.
3, 7, 19, 16187
List the prime factors of 74128109.
11, 17, 36037
What are the prime factors of 30765360?
2, 3, 5, 128189
List the prime factors of 3650322.
2, 3, 13, 53, 883
What are the prime factors of 1512756228?
2, 3, 31, 233, 563
List the prime factors of 496075614.
2, 3, 82679269
What are the prime factors of 2393575852?
2, 223, 2683381
What are the prime factors of 59916750?
2, 3, 5, 79889
What are the prime factors of 1962882677?
7, 280411811
What are the prime factors of 609843105?
3, 5, 587, 23087
What are the prime factors of 48764912?
2, 7, 435401
List the prime factors of 394118152.
2, 49264769
What are the prime factors of 105771682?
2, 61, 71, 12211
List the prime factors of 99609382.
2, 499, 99809
List the prime factors of 113522901.
3, 37840967
What are the prime factors of 14644964?
2, 239, 15319
What are the prime factors of 110571126?
2, 3, 109, 169069
List the prime factors of 15703987.
13, 43, 2161
What are the prime factors of 59750198?
2, 67, 127, 3511
What are the prime factors of 23972958?
2, 3, 17, 157, 499
List the prime factors of 280752607.
19, 53, 278801
List the prime factors of 48335025.
3, 5, 29, 71, 313
List the prime factors of 5527731931.
3719, 1486349
What are the prime factors of 71564153?
373, 191861
List the prime factors of 162594074.
2, 81297037
List the prime factors of 5946781761.
3, 2239, 295111
List the prime factors of 2079403492.
2, 31, 2381, 7043
What are the prime factors of 88023077?
83, 1060519
What are the prime factors of 1135381477?
307, 3698311
List the prime factors of 272567637.
3, 149, 439, 463
What are the prime factors of 19187499?
3, 6395833
List the prime factors of 401130212.
2, 7, 23, 487, 1279
List the prime factors of 32846504.
2, 1973, 2081
List the prime factors of 83499461.
17, 31, 158443
List the prime factors of 200706563.
71, 2826853
What are the prime factors of 755352104?
2, 13, 43, 67, 2521
List the prime factors of 848086303.
5569, 152287
What are the prime factors of 11624122?
2, 2273, 2557
List the prime factors of 871069566.
2, 3, 131, 199, 5569
What are the prime factors of 37194499?
53, 701783
List the prime factors of 3357320792.
2, 7, 59952157
List the prime factors of 159774947.
159774947
What are the prime factors of 4290875555?
5, 858175111
List the prime factors of 1093133032.
2, 37, 457, 8081
What are the prime factors of 44717406?
2, 3, 7452901
List the prime factors of 148350433.
7, 11, 337, 5717
List the prime factors of 744415683.
3, 11, 22558051
What are the prime factors of 1993734863?
4153, 480071
List the prime factors of 278219101.
53, 5249417
List the prime factors of 1056067406.
2, 6451, 81853
What are the prime factors of 3325664975?
5, 79, 883, 1907
What are the prime factors of 35567358?
2, 3, 5927893
List the prime factors of 169912752.
2, 3, 3539849
List the prime factors of 18241369.
23, 793103
List the prime factors of 267640234.
2, 1531, 87407
List the prime factors of 106599832.
2, 173, 77023
What are the prime factors of 1236064787?
103, 12000629
List the prime factors of 499918193.
317, 431, 3659
List the prime factors of 54714673.
13, 4208821
What are the prime factors of 389919528?
2, 3, 43, 41981
List the prime factors of 78089139.
3, 83, 104537
List the prime factors of 8279452.
2, 71, 29153
What are the prime factors of 9496562?
2, 23, 206447
What are the prime factors of 180027337?
7, 19, 283, 4783
What are the prime factors of 67996198?
2, 1087, 31277
What are the prime factors of 1228491750?
2, 3, 5, 1193, 1373
List the prime factors of 479361469.
19, 23, 223, 4919
What are the prime factors of 7543896731?
7, 151, 7137083
List the prime factors of 207635128.
2, 29, 463, 1933
What are the prime factors of 72249853?
13, 2087, 2663
List the prime factors of 598013095.
5, 31, 1097, 3517
List the prime factors of 49704855.
3, 5, 17, 19, 10259
List the prime factors of 215060563.
19, 61, 185557
What are the prime factors of 66963485?
5, 47, 67, 4253
List the prime factors of 61012210.
2, 5, 7, 67, 13009
List the prime factors of 207722629.
61, 3405289
What are the prime factors of 49943512?
2, 127, 49157
What are the prime factors of 97155313?
97155313
What are the prime factors of 74280176?
2, 1181, 3931
List the prime factors of 223612667.
443, 653, 773
Lis
|
{
"pile_set_name": "DM Mathematics"
}
|
= j**2 + 3*j. Calculate the remainder when b(r) is divided by h.
8
Let q be 8/(60/(-27) - -2). What is the remainder when 23 is divided by ((-4)/(-6))/((-2)/q)?
11
Calculate the remainder when 3 - (2/3)/((-18)/189) is divided by 3.
1
Let h = -30 + 42. Suppose 0 = -4*j + 81 + 151. Calculate the remainder when j is divided by h.
10
Let o = 123 - 113. Suppose v + v - 70 = 5*p, 2*p + 5*v + 57 = 0. Let u = 2 - p. Calculate the remainder when u is divided by o.
8
Suppose 4*p + 5*v - v = 100, -2*p + v + 50 = 0. What is the remainder when p is divided by 6?
1
Suppose -5*l = 5*q - 40, -4*q - 3 = -l - 15. What is the remainder when -2 + (0 - -1) - -15 is divided by q?
2
Suppose -h - 2*g + 51 = 0, -5*h + 105 = -2*g - 150. What is the remainder when 152 is divided by h?
50
Suppose 3*c + d - 93 + 23 = 0, -5*c + 114 = d. Calculate the remainder when 108 is divided by c.
20
Let v = 5 + -3. Suppose 0 = -2*n - 2*n + 4, -3*p + 134 = v*n. Calculate the remainder when p is divided by (1*-2)/((-4)/30).
14
Let d = 24 - 21. Suppose -1 = f, -6*p = -2*p - d*f - 119. Calculate the remainder when p is divided by 16.
13
What is the remainder when (-2 - (-130)/6) + 5/15 is divided by 15?
5
Suppose 2*g + 60 = 4*g. Suppose 28 = h - g. Let s = 51 + -36. What is the remainder when h is divided by s?
13
Let z = -23 + 37. What is the remainder when 39 is divided by z?
11
Let v = 3 + -1. Suppose 0 = 3*i + i - 16, -28 = -v*r - 5*i. What is the remainder when 7 is divided by r?
3
Let n = 19 - 11. What is the remainder when 12 is divided by n?
4
Let b = -1 - -1. What is the remainder when 25 is divided by 4 + (1 - b) + 2?
4
Let z(v) = -2*v**3 - 35*v**2 - 16*v + 40. Calculate the remainder when 80 is divided by z(-17).
11
Calculate the remainder when -3 - 16/(-1)*6 is divided by 24.
21
Let n be 504/81 - (-4)/(-18). Suppose -34 - 9 = -4*y - 5*z, -z = 2*y - 17. Calculate the remainder when y is divided by 2/((-2)/n*-2).
1
Suppose 3*m - 2*u - 3*u + 14 = 0, 5*m + 5*u = 30. What is the remainder when 0 + 1/m*6 is divided by (-1)/(-1 - (-3)/6)?
1
Suppose b = -3*c + 73, 2*b - 2*c = -6*c + 146. Calculate the remainder when b is divided by 15.
13
Let a(i) = -i**3 + 9*i**2 - 9*i + 6. Let u be a(6). Suppose 0 = 7*j - 3*j - u. Calculate the remainder when 44 is divided by j.
14
Suppose 0 = 23*u - u - 1012. Let j(i) = -6*i - 6. What is the remainder when u is divided by j(-5)?
22
Suppose 762 = 7*y - 1534. What is the remainder when y is divided by 30?
28
Let s(f) = f**3 - 8*f**2 + 7*f + 13. What is the remainder when 24 is divided by s(7)?
11
Suppose 0 = 2*r + 2*r + 5*j - 65, -j = 2*r - 31. What is the remainder when (-128)/(-6)*r/10 is divided by 11?
10
Let r be (-7)/5 - (-12)/30. Let l be r/((-2)/8*1). Suppose 0 = l*y + 3*h - 138, -1 = -3*y - 2*h + 103. What is the remainder when y is divided by 13?
10
What is the remainder when -1 + 0 - (-59 - -1) is divided by 15?
12
Let f(m) = -3*m + 7. Calculate the remainder when f(-7) is divided by 10.
8
Let w = 0 + 1. Suppose 8 = 3*i - w. Suppose f = -3*v + 54, -v - i*f - 3 = -21. Calculate the remainder when v is divided by 10.
8
Let p(x) = 5 - 2 - 4*x + 6*x - 2. Let a be p(1). Suppose -a*q = q - 20. What is the remainder when 12 is divided by q?
2
Let m(r) = 15*r**2 + 2*r + 3. What is the remainder when m(2) is divided by 23?
21
Let a be (-34)/(-6)*(-1 + 4). Let t be (7 - 1)*(a - 1). Let i = t + -59. Calculate the remainder when i is divided by 13.
11
Calculate the remainder when (-35)/(-7)*(-2)/(-2) is divided by 2.
1
Let q = -350 + 520. Calculate the remainder when q is divided by 43.
41
Let r be (6/8)/(2/8). Suppose -a - a + 3*y = 2, 0 = -3*a + 3*y. What is the remainder when (r/(-6))/1*-6 is divided by a?
1
Let y(j) = -j**3 - 6*j**2 - 5*j - 7. Let z be y(-6). Suppose -4*m + 25 = -z. What is the remainder when m is divided by (2 + -3)/(1/(-7))?
5
Let b = 16 + -38. Let a = b + 36. Suppose -5*c = -91 - a. Calculate the remainder when 40 is divided by c.
19
Let h = 168 + -131. What is the remainder when 143 is divided by h?
32
Suppose -217 = 3*j - 10*j. What is the remainder when 91 is divided by j?
29
Suppose 0 = 2*t + 5*w + 29, -2*w - 6 - 10 = 3*t. Let i(p) = p**2 + 8*p + 15. What is the remainder when ((-8)/t)/((-2)/(-4)) is divided by i(-6)?
2
Suppose c - y = y + 19, 3*c - 39 = -3*y. Suppose -4*b + t + 15 = 0, -14*b - 3*t - 17 = -19*b. Calculate the remainder when c is divided by b.
3
Let k = 22 + -9. What is the remainder when 24 is divided by k?
11
Let d be 12/(-42) + 30/7. Suppose d = z + 2. Let y = 4 - z. Calculate the remainder when 4 is divided by y.
0
Suppose -2*i + 3 = 1. Let q(g) = 21*g**3 - g + 1. Let s be q(i). Calculate the remainder when s/1 + 8/(-4) is divided by 7.
5
Suppose -2*v - 301 = -3*y + 3*v, 3*v - 411 = -4*y. Calculate the remainder when y is divided by 21.
18
Suppose -2*u + 65 = 3*u. What is the remainder when 38 is divided by u?
12
Suppose 0 = -2*a - 3*a + 35. Let k(m) = -m**3 + 8*m**2 - 8*m + 8. What is the remainder when 2 is divided by k(a)?
0
Suppose -3*n + 2*n = 59. Let m = -25 - n. Let z = 59 - m. What is the remainder when z is divided by 9?
7
Let r = 23 - 8. Suppose 4*s = 5*u + 39, -3*u - r = 2*u. Suppose 2*g + 12 = 32. What is the remainder when g is divided by s?
4
Suppose -8 = 8*n - 9*n. Calculate the remainder when n is divided by 3.
2
Let s(j) = -18*j + 8. Let q be s(-4). Let g = q - 49. What is the remainder when g is divided by 11?
9
Let a(x) = x**3 - 11*x**2 + 4*x. Calculate the remainder when a(11) is divided by 15.
14
Let a = 29 - 24. What is the remainder when 7 is divided by a?
2
Suppose 0 = -2*k - 5*o - 1 + 14, -3*o - 51 = -3*k. What is the remainder when 39 is divided by k?
11
Suppose -132 = 4*n + w, 6*w - w + 132 = -4*n. What is the remainder when 460/11 - 6/n is divided by 15?
12
Suppose 0*f = -5*f - 5. What is the remainder when 99 is divided by 13 - ((-3 - 0) + f)?
14
Suppose 4 = 3*i - i. Suppose 7 = i*g - 49. Let n(w) = -w**2 - 11*w + 5. What is the remainder when g is divided by n(-10)?
13
Suppose -65 = 8*t - 217. What is the remainder when 73 is divided by t?
16
Suppose -11 = 5*x - 136. What is the remainder when x is divided by (-2)/(-5)*(-1 + 36)?
11
Let s(x) = 4*x**3 - 8*x**2 + 3*x - 2. Calculate the remainder when 85 is divided by s(3).
42
Let o(d) = 2*d**3 + d + 2. Calculate the remainder when 78 is divided by o(2).
18
Calculate the remainder when (-8)/(-1) + (-21)/(-7) is divided by 2.
1
Let w(s) = s**3 - 5*s**2 - 9*s + 25. What is the remainder when 18 is divided by w(6)?
4
Let f(h) = h + 11. Let v be 4/(-6) + 10/15. Suppose 5*p + 36 = b, 4*b - 2*p - 75 = -5*p. What is the remainder when b is divided by f(v)?
10
Let l = 4 + 15. What is the remainder when l is divided by 7?
5
Suppose 3*s = 4*s - 7. Suppose 5*p - 30 = -5*t, 0*p - 4 = p - t. Let f = s + p. What is the remainder when f is divided by 5?
3
Suppose 31 = 3*x - 77. Suppose f = 2*k - 35, 5*k - 68 = -3*f + x. Calculate the remainder when 37 is divided by k.
18
Let x be 10/(((-2)/(-3))/1). Suppose -x = 4*w + 3*n, 0 = -2*w - 0*n + 3*n + 15. Let y(g) = g + 7. Calculate the remainder when 20 is divided by y(w).
6
Let n = 12 - 10. Suppose -3*c = n*c - 40. Let w(t) = 10*t + 2. Calculate the remainder when w(2) is divided by c.
6
Let d(a) = -12*a + 35. Let t(x) = -3*x + 9. Let o(y) = -2*d(y) + 9*t(y). Let j = -1 + 13. What is the remainder when o(-8) is divided by j?
11
Let d(t) = t**2 + 3*t - 1. Let y be d(-5). Suppose -6*r - y = -7*r. Calculate the remainder when 3 is divided by r + -4 - (1 + 2).
1
Suppose -3*i = -5*x + 2*x - 177, 25 = -5*x. Calculate the remainder when i is divided by 14.
12
Let r = -861 + 1329. What is the remainder when (-8)/28 - r/(-21) is divided by 6?
4
Suppose 4*g + 16 = 0, 14 - 54 = -4*u - 5*g. Suppose 7*v = 4*v + u. Calculate the remainder when (-3)/((-3)/(-7))*-2 is divided by v.
4
Let k(m) = m - 6. Let j be k(7). Suppose -3*s = -5 - j. Calculate the remainder when s is divided by 2.
0
Let s = 2 - 1. Let m(p) = 5*p**2 - p. Let c = -9 + 15. Calculate the remainder when c is divided by m(s).
2
Suppose -2*n = -6*n + 28. Calculate the remainder when 18 is divided by n.
4
Suppose 0 = 5*l - p + 6*p - 30, -3*l = -2*p - 23. What is the remainder when l is divided by 4?
3
Let j(f) = -f**3 + 12*f**2 + f - 6. Calcul
|
{
"pile_set_name": "DM Mathematics"
}
|
(0*l - 3*l + 4*l).
8*l
Expand -2*o**5 + 3*o**5 - 2*o**5 + (2*o - o + 3*o)*(2*o**4 - 3*o**4 + 5*o**4 + 0*o**4 + 3*o**4 - 2*o**4 + (-6*o**4 + 2*o**4 + 2*o**4)*(-2 - 4 + 4)).
35*o**5
Expand (-3*x + 3*x + 2*x)*(x - x + 3*x - 18*x - 2*x - 17*x + (2*x + 0*x - x)*(3 + 1 - 3)).
-66*x**2
Expand -7*o**4 + 2*o**4 + o**4 + (3*o**3 - 5*o**3 + 3*o**3)*(-163*o + 137*o + 97*o) - 2*o**4 - o**4 + 4*o**4.
68*o**4
Expand (6*x - 3*x - 53917 + 53983 + 6*x - 2*x - 2*x + (-5 + 5 - 2)*(x + x + 0*x))*(3*x - 4*x - x).
-2*x**2 - 132*x
Expand (1 - 1 - 2)*(-636*s + 257*s - 567*s + 223*s).
1446*s
Expand (8*j**4 + 26*j**4 - 83*j**4)*(0 - 3 - 1).
196*j**4
Expand (-371*u**2 - 245*u**2 - 193*u**2)*(0 + u + 0).
-809*u**3
Expand (5*t**2 + 5*t**2 - 6*t**2)*((-1 + 1 + 2*t)*(10*t + 11 - 11) + 4*t**2 - 5*t**2 + 2*t**2).
84*t**4
Expand (-6*t**2 + 3*t**2 + 5*t**2)*(-14 - 20 + 37)*(8 - 8 - 3*t).
-18*t**3
Expand 5*k**5 - 6*k**5 + 8*k**5 + 0*k**5 - k**5 + 4*k**5 + (k**3 - k**3 + k**3 + (-4*k + 5*k - 3*k)*(-3*k**2 + 0*k**2 + 4*k**2))*(-k**2 + 5*k**2 - 2*k**2).
8*k**5
Expand (30*p**4 - 21*p**4 + 5*p**4)*(-7 + 2*p + 7) + 2*p**5 - p**5 - 2*p**5.
27*p**5
Expand (-2116*i**3 + 24*i**4 + 2116*i**3)*(3 + 3 - 3).
72*i**4
Expand 3*t**3 - 3*t**3 + t**3 + (-33*t**3 - 3*t**3 + 2*t - 4*t)*(4 - 5 + 2).
-35*t**3 - 2*t
Expand ((-3 - 2 + 3)*(-2 - a + 2) + 7*a - 3*a - 2*a + (49*a - 18*a - 13*a)*(-7 + 3 + 2))*(0 + 0 - 2*a**3) + (2 - 3 - 2)*(-1 + 1 - a**4).
67*a**4
Expand 82*k + 87*k - 18*k - 3 + 3 + k + (4 - 3 - 2)*(2*k - 5*k + 5*k) + 4 - k - 4.
149*k
Expand (0*j + 0*j - 2*j)*(-15 - 46 - 6*j + 47).
12*j**2 + 28*j
Expand (160*f**2 + 168*f**2 + 3*f**2)*(2 + 1 + 0)*(4*f - 2*f - f).
993*f**3
Expand -1 + 1 - 4*y + 151 + 33*y - 151 + (6 - 4*y - 6)*(1 + 3 - 3).
25*y
Expand 0*n + 0*n + n**5 + (0 + 0 - n**2)*(-6 + 6 + 13)*(n**3 - n**3 - 3*n**3 + (1 - 2 + 3)*(-3*n**3 - 2*n**3 + 3*n**3) + 4*n**3 + 3*n**3 - 5*n**3).
66*n**5
Expand (-3*u + 18*u + 7*u)*(3*u**4 - 2*u**4 - 3*u**4).
-44*u**5
Expand (4 - 872*n**2 + 0 + 2*n + 870*n**2)*(4*n - n**2 - 4*n).
2*n**4 - 2*n**3 - 4*n**2
Expand (-4*i + i + 2*i)*(i + 0*i - 1215 + 1197).
-i**2 + 18*i
Expand -1 - f**2 - f - 2*f - f**2 + (3 + 0 - 4)*(-9*f**2 + 9*f**2 + 8*f**2).
-10*f**2 - 3*f - 1
Expand (-o + o - 2*o)*(1 + 10 - 15)*((-1 - 1 + 0)*(-3 + 1 + 0) - 6 + 1 - 1 + 14 + 15 - 15).
96*o
Expand (z**4 - 3*z**4 + z**4)*((z - z + z)*(5 - 2 - 1) + 4*z - 3*z + 2*z + 994*z - 557*z - 609*z).
167*z**5
Expand (42 - 42 - 17*p**2)*(-2*p**2 + 2*p**2 + 2*p**2) + 2*p**4 + p**4 - p**4 + (-2*p**3 + 3 - 3)*(4*p - 4*p + 5*p).
-42*p**4
Expand -f**3 - 2*f**4 + f**3 + (-f + 3*f + 0*f)*(-f + f**3 + f) + 4*f**4 - 7*f**4 + 21*f**4.
18*f**4
Expand 19*q - 51 + 51 + (-2*q + 3*q - 3*q)*(0 - 3 + 1) + 5 + q - 5.
24*q
Expand -4*w**5 + 0 + 0 + (-w**2 - 2*w**2 + 2*w**2)*(w**3 - 4*w**3 + w**3) + 2*w**5 + 0*w**3 + 0*w**3 + 2*w**5 + 2*w**5 - 3*w**5 - 6 + 0 + 21*w**5 + 7.
22*w**5 + 1
Expand (2 + 1 - 2)*(5 - 4 - 2)*(8*n - n + n)*(29 + 13*n - 29).
-104*n**2
Expand -126*g**5 + 296*g**5 - 36*g**5 + (-4*g + g**3 + 4*g)*(5*g**2 - 2*g**2 - 2*g**2).
135*g**5
Expand (-219*c + 411*c - 212*c - 2*c**2)*(-3*c + 4*c - 2*c).
2*c**3 + 20*c**2
Expand (-3 - 5 + 3)*(5 + 4*q - 5)*(7 - 8*q - 7).
160*q**2
Expand -2*d + d - 9*d + (-3 + 1 + 4)*(7*d - 3*d - 3*d) - 5*d - 3*d + 5*d.
-11*d
Expand -7 - 8*g**2 + 7 + (-1 + 1 + 2)*(-7*g**2 + 3*g**2 + g**2) + (2 - 5 + 4)*(-g**2 + g**2 + 2*g**2) + 5*g**2 - 4*g**2 + g**2.
-10*g**2
Expand (1 - 1 + 2)*(2*z + z - 2*z) + 0*z + 3*z - 7 + z.
6*z - 7
Expand (321*s - 601*s + 343*s)*(-1 - 1 - 1).
-189*s
Expand (-93*n + 30*n - 22*n)*(5*n**2 + 0*n**2 - 2*n**2).
-255*n**3
Expand (81*w**2 + 1615*w - 1616*w + 43*w**2)*(-3*w - w**2 + 3*w) - 2*w**3 + 2*w**3 + 2*w**4.
-122*w**4 + w**3
Expand (11*d + 0*d + 0*d)*((3 + 1 - 6)*(2*d - 3*d + 0*d) + 2*d + 4 - 4 + 5*d - d - 5*d).
33*d**2
Expand 3*x**4 - 2*x**4 - x**3 - 4*x + 7*x + (-4 - 5 + 4)*(-4*x**3 - 2*x**4 + 4*x**3).
11*x**4 - x**3 + 3*x
Expand 2*u - 3*u + 2*u + 1 - 1 - u - 3*u - 2*u + 3*u + 0*u + 4*u - 3*u + (1 + 4 - 3)*(u + u + 0*u) - u + 4*u - 2*u + 9*u - 1 - 186*u + 33*u.
-140*u - 1
Expand (9 - 9 + 7*x)*(2 - 1 + 0)*(80*x - 170*x + 63*x).
-189*x**2
Expand (2*c - 1 + 1)*(-11 + 2 + 0) + (4*c + 0*c - c)*(4 - 3 - 7).
-36*c
Expand ((1 - 3 + 4)*(4*d - d - 5*d) + 2*d - d - 2*d - 103 - 10*d + 103)*(d**2 - 3*d**2 - d**2).
45*d**3
Expand (4*g + 6*g - 3*g)*(-9*g**3 + 9*g**3 + 4*g**4) + 2*g**5 + 2*g**2 - 2*g**2.
30*g**5
Expand 378*m**3 - 1532*m + 1532*m + 2*m**2 - 2*m**2 + m**3 + (0 + 2*m + 0)*(5 - 2*m**2 - 5) + (-2*m + 6*m - 2*m)*(0*m - m**2 + 0*m).
373*m**3
Expand (-14*m**2 + 4*m - 4*m)*(1 + 2 - 4 - 2 + 0 + 1 + 0 + 4 - 2 + (2 + 1 - 2)*(1 - 1 + 2) + 0 - 3 + 4 - 1 + 6 - 6).
-28*m**2
Expand -d**4 - 2*d + 2*d + (4 - 4 + 2*d)*(2 - d**3 - 2) + d**4 - 2*d**4 + 0*d**4 + 5*d**4 + 9*d**4 - 7*d**4 - 14*d**3 + 4*d**4 - d + 14*d**3.
7*d**4 - d
Expand (m - 3 + 3)*(-3*m + 5 - 5 + (2 - 4 - 1)*(-4*m + 2*m + 0*m) - 36 + 36 + m).
4*m**2
Expand (3*o**2 + 0*o**2 - 4*o**2)*(138*o - 55*o - 30*o)*(0*o + o - 3*o).
106*o**4
Expand (0*q - 3*q + 5*q)*((3 - 3 - 3)*(-2 + 0 + 3) - 4 + 2 + 0)*(2*q - 2*q + 5*q).
-50*q**2
Expand (6*a + 2*a - 3*a)*(3 - 4 - 3)*(-4*a**3 + 2*a**3 - a**3).
60*a**4
Expand (-3828*p + 2*p**2 - 3825*p - 200*p**3 + 7652*p)*(1 + 0 - 5).
800*p**3 - 8*p**2 + 4*p
Expand -2*k + k - 4*k + (2*k - 4*k + k)*(-7 + 1 - 10).
11*k
Expand (3*s**2 + 4*s**2 - 5*s**2)*(-3*s**3 + 2*s**3 - 5*s**3) - 5*s**5 + 2*s**5 + s**5 + (s + 0*s - 3*s)*(3*s**4 - s**4 - s**4).
-16*s**5
Expand (-61 + 21 + 28)*(-31*a**3 - 19*a**2 + 65*a**3 - 33*a**3 - 2*a).
-12*a**3 + 228*a**2 + 24*a
Expand (61 + 6*v - 5*v + v)*(3*v**3 - 5*v**3 + 4*v**3).
4*v**4 + 122*v**3
Expand v**4 + v**4 - 4*v**4 + (-3*v - v**2 + 3*v)*(-17 + 17 - 17*v**2).
15*v**4
Expand (-2*j + 0*j + 4*j)*(-j + 11 - 11)*(-9*j + 154 - 154).
18*j**3
Expand (-157 - 9*f**2 + 82 + 2*f**3 + 77)*(1 - 2*f - 1).
-4*f**4 + 18*f**3 - 4*f
Expand (1216*p - 24242 + 24242)*(2 + 2 - 2)*(2 + 2 - 3).
2432*p
Expand -2*w**5 + 0*w**5 + 3*w**5 + (17 - 17 + w**3)*(-24 + 24 + w**2).
2*w**5
Expand (1 + 2 - 2)*(77*h - 37*h + 7 - 38*h)*(24*h - 3*h**2 - 24*h).
-6*h**3 - 21*h**2
Expand -4 - t + 4 + (5*t - 6*t - t)*(9 + 2 - 1) + t - t - 2*t + 5 - 24*t + 12*t + 13*t.
-22*t + 5
Expand (-9 + 9 - o)*(-14*o + 6*o - 15*o) - 2*o + 2*o - 2*o**2 + (-4*o - 8 + 8)*(-3*o + 0*o + o).
29*o**2
Expand -2*t**2 + 3*t**2 + 0*t**2 - 528 + 528 + 31*t**2 - 2*t**2 + 0*t**2 + t**2 + (-4*t + 2*t + 0*t)*(t - 3*t + 3*t) - 3*t**2 + t**2 + 0*t**2.
27*t**2
Expand (-1 + 5 - 1)*(-254 + 267*c - 538*c + 267*c).
-12*c - 762
Expand (32*c**3 - 5*c**3 - 4*c**3)*(1 - 1 - 2) + 5*c**3 + 4*c**2 - 4*c**2.
-41*c**3
Expand 2*k - 3*k - 2*k - 4*k + k + 4*k + (1 - 2 - 1)*(-3*k + 2*k + 0*k) - 14*k - 11*k - 3*k - 4*k + 0*k + 3*k - 3*k + 5*k + 0*k.
-27*k
Expand (-6*r**2 + 6*r**2 - 3*r**3)*(-11 + 11 + r - 3*r + 3*r - r + r + 5 - 5 - 2 + 2 - r + (0 - 4 + 2)*(0 - 2*r + 0) - 3*r + 3*r + r).
-15*r**4
Expand (0*u**3 + u**3 + 2*u**3)*(4*u + 3*u + u) + 9 + 3*u - u**4 - 5 - u.
23*u**4 + 2*u + 4
Expand (-16*r**4 + 328 - 328)*(-2*r + 3*r - 4*r) - 2*r**5 + 4*r**5 - 4*r**5.
46*r**5
Expand 2*b**2 - 4*b**2 + 0*b**2 + (2 + 5 - 5)*(-2*b**2 - 7*b**2 - 2*b**2).
-24*b**2
Expand ((-2*j + 2*j + 2*j)*(-3*j**2 + 6*j**2 - 2*j**2) - j + j - j**3)*(-20*j**2 - 16*j**2 + 34*j**2).
-2*j**5
Expand (-1 + t + 1)*(-5*t - t - 2*t)*((3*t + t - t)*(-1 - 2*t + 1) - 2*t**2 + 4*t**2 - 4*t**2).
64*t**4
Expand j - j + j**2 + (2*j + j - j)*(-191*j - 172*j + 273*j).
-179*j**2
Expand (-2*f + 0*f - 3*f)*(f + 4*f - 3*f + f - f - 3*f + (4 - 2 - 3)*(0*f + 4*f - 2*f) - 5*f + 2*f + f - f - 2*f + 5*f - 3*f + f + 4*f).
5*f**2
Expand (95589 - 694*l - 95589)*(1 - 1 - l)*(3*l + 0*l + 0*l).
2082*l**3
Expand (-l**3 + 0*l**3 - l**3)*(9*l + 14*l + 23*l) - 4*l**4 + 2*l**4 + l**4.
-93*l**4
Expand (-2 + 3 + 4 + (5 - 3 - 4)*(-6 + 3 + 2) - 1 - 1 + 1)*(q - q + q + 1).
6*q + 6
Expand (0 - b**3 + 0)*(45*b - 96*b + 47*b + 107).
4*b**4 - 107*b**3
Expand ((-2*t + t - t)*(3*t - 4*t + 2*t) - 4*t + 4*t + 3*t**2)*(172*t**2 - 80*t**2 - 84*t**2).
8*t**4
Expand (-r + 0*r - 2*r + (2 + 3 - 1)*(5*r - 5*r + r))*(8*r**3 - 6*r**3 + 8*r**3).
10*r**4
Expand (k**5 - 3*k**5 + 3*k**5)*(3 - 2 + 0) + 33*k**5 + 49*k**5 + 2*k**5.
85*k**5
Expand (-2*q**2 + 3 - 3)*(1 + 10 - 3)*(2 + 0 - 8).
96*q**2
Expand (0 + 1 - 2)*(-214 + 55 + 32)*(-1 +
|
{
"pile_set_name": "DM Mathematics"
}
|
Let j(l) be the third derivative of l**4/12 - 7*l**3/6 - 161*l**2. Let a(n) = 11*j(n) + 2*t(n). Determine a(2).
5
Let m(g) = 3*g - 10. Let r = 39 - 36. Suppose 2*b = -2*j + 8, -r*b - j = 2*b - 20. Give m(b).
2
Let y = -20763 - -20769. Let w(c) = 7 + 0*c - 1 - c. Calculate w(y).
0
Suppose -5*o = 16*u - 18*u - 13, u + 6 = 2*o. Let s(v) = 25*v**2 + 1 - 13*v**2 - 15*v**2. Determine s(o).
-2
Let l(y) = y**2 + 285*y + 20295. Let o be l(-139). Let u(a) be the first derivative of 0*a**3 + 1 + 0*a**2 + 0*a - 9/4*a**4. Calculate u(o).
-9
Let o(f) = f**2 + 9*f + 2. Let w be 47/1 - ((2 - 3) + -1). Suppose w = -7*l - 0*l. Determine o(l).
-12
Let y(b) = -6*b**3 + 8*b**2 - 2*b + 11. Let l(q) = 23*q**3 - 32*q**2 + 9*q - 43. Let g(n) = 4*l(n) + 15*y(n). What is g(3)?
-7
Let z(u) be the first derivative of -u**3/3 + u**2/2 + 9*u - 183. Calculate z(5).
-11
Let g(j) = -3 - 14*j**3 + 11*j**3 + 6*j**3 + 11*j**2 + 2 - 10*j**2. Suppose 2*a - 6 = -2. Suppose -a = 4*y - 2*y. Determine g(y).
-3
Suppose -22 = 102*s - 113*s. Let x be s - 3/4*8. Let z(u) = -2*u**2 + 3*u - 3. Calculate z(x).
-47
Let o(t) = -t**2 - 9*t + 10. Let l(w) = 9*w**2 - 6*w + 11. Let c be l(2). Let m be (-1)/6 - (c/42 + 6). Give o(m).
24
Let j(n) = -5*n**3 + n**2 + 10*n - 6. Let o(m) = -6*m**3 + 2*m**2 + 10*m - 7. Let d(h) = 5*j(h) - 4*o(h). Give d(-5).
-2
Let h(a) = -74*a - 320. Let m be h(-26). Let p(x) = 7 + x**3 + 1599*x - 13*x**2 - m*x + 8*x**2. Let z = 5 + 1. What is p(z)?
13
Let n = -236 - -545. Let q = n + -303. Let w(b) = -b**3 + 7*b**2 - 5*b - 3. What is w(q)?
3
Let h(v) = 53*v**2 + 137 + 4*v + 5*v**3 - v**3 - 60*v**2 - 114 - 3*v**3. Calculate h(6).
11
Let n be -10*36/75*(-20)/8. Let l(q) = 14*q**2 + 15*q + 11. Let c(a) = -11*a**2 - 14*a - 12. Let v(m) = -5*c(m) - 4*l(m). Give v(n).
-8
Let w(q) = 9*q + 17*q - 17*q + 10 - q**2. Let h(a) = -7*a**2 + 434*a + 9. Let u be h(62). What is w(u)?
10
Suppose -2*p - 30 = -4*d, p - 55 = 3*d - 8*d. Let z be (-4)/(8/6) + d. Let t be ((-20)/28 - -1) + (-2)/z. Let v(l) = l + 6. What is v(t)?
6
Suppose -b - 6 = -4*b. Let r = 422 - 419. Suppose 5*c = r*w + b*c + 9, -4*w = 3*c + 40. Let p(a) = a**3 + 6*a**2 - 6*a + 4. Calculate p(w).
-3
Let v = -225 + 232. Let q(l) = -2*l**2 - 2*l**2 + 5*l + 1 - v*l + 0*l**2. What is q(1)?
-5
Suppose -45*b - 288 = -19*b - 54. Let n(r) = -r**3 - 8*r**2 + 6*r + 6. Give n(b).
33
Let c(i) = -2 + i**2 - 16 + 5 + 6. Suppose -4*x - 12 + 20 = n, 0 = -3*x + 6. What is c(n)?
-7
Let q(m) = -2*m**2 + 15*m - 41. Let t be 64/10 - (-375)/625. What is q(t)?
-34
Let c(m) be the second derivative of 4*m**3 - 99*m**2/2 + m + 781. What is c(6)?
45
Let c(f) = 117*f - 6. Let v(k) = -29*k. Let q(w) = c(w) + 4*v(w). Let g(m) = -m**2 - 5*m + 8. Let n be g(-7). What is q(n)?
-12
Suppose -6*p - 382 = 50. Let a = -72 - p. Let l(h) = a - 152*h - h**3 + 73*h - 6 - 5*h**2 + 78*h. What is l(-5)?
-1
Let c be (14*1/4)/((-446)/(-892)). Let t(j) = -18*j + 26. What is t(c)?
-100
Let r(x) = 19*x**2 + 130*x - 15. Let z be r(-7). Let n(b) = b**3 - 7*b**2 + 19*b - 80. What is n(z)?
-2
Let l be 2*(1*-3 + 0). Let v = -114 - -118. Let m(r) = -v + r**3 - 572*r**2 - 2*r - 5*r + 577*r**2 + 5. Give m(l).
7
Suppose 81*w = -2*w + 454 + 44. Let m(q) be the second derivative of -q**3/6 + 2*q**2 - 32*q. Determine m(w).
-2
Suppose -3*a + p + 2285 = 0, 5*a + 2*p - 1518 = 3*a. Let x(h) = 762 - h + 9*h - a. What is x(2)?
17
Let h(d) be the second derivative of d**5/20 + d**4/2 - d**3/3 + 5*d**2/2 + 7705*d. Determine h(-4).
45
Suppose z + 144 = -0*z. Let r be (z/78 + 2/(-13))*2. Let a(b) be the first derivative of -b**4/4 - 5*b**3/3 - 2*b**2 - b + 33. Determine a(r).
-1
Let g(l) = 6*l + 173. Suppose 12*s - 33*s - 588 = 0. Let p be g(s). Let h(a) be the second derivative of a**4/12 - a**3/2 + 7*a**2/2 - 3*a. Determine h(p).
17
Let w(s) = -3*s**3 - 5*s**2 + 2*s + 22. Let g(o) = -4*o**3 - 7*o**2 + 4*o + 29. Let z(f) = 10*g(f) - 13*w(f). What is z(-7)?
4
Let b(u) = -17*u**3 + 30*u**2 - 29*u + 11. Let o(r) = 25*r**3 - 29*r**2 + 28*r - 12. Let g(j) = 3*b(j) + 2*o(j). What is g(31)?
9
Let l be (-10)/3*48/(-80). Let i(w) = -8*w + 2*w**2 - 8*w**l + 8 + 6*w**2 - 12 - 2*w**2. Determine i(-5).
-14
Let d(h) = -h**2 - 8*h - 16. Let g be d(-5). Let v(n) = 2*n**3 - 2*n**2 - n. Let z be v(g). Let m(j) = 3*j - 3. Calculate m(z).
-12
Suppose -81*x - 2 = -85*x + 14. Let j(s) be the first derivative of 2*s**2 + 4*s + 14. Determine j(x).
20
Let p(h) = 6*h - 35 - 46 - 4 + 8. Let w be p(12). Let s(z) = -2*z - 6. Determine s(w).
4
Let i(h) = -9*h**3 + 17*h**2 - 32*h - 2. Let x(y) = -2*y**3 + 4*y**2 - 5*y - 1. Let v(t) = -i(t) + 5*x(t). Let f be 4 + 3 + -4 + 2. What is v(f)?
-18
Let w(f) = -17*f - 2. Let n be w(2). Let q = n + 33. Let a(m) = -4*m**2 - 3*m. Let v(s) = 11*s**2 + 10*s + 1. Let c(l) = q*v(l) - 8*a(l). Give c(-4).
5
Let j(v) = -15*v**2 + 8*v + 7. Suppose -22 = -2*q - 4*u, -2*q + 5*u - 183 = -151. What is j(q)?
-16
Let x(y) be the third derivative of y**5/120 + y**4/24 - 11*y**3/6 + 43*y**2 + 2*y. Let h(u) be the first derivative of x(u). Give h(4).
5
Let f(p) be the first derivative of -p**4/4 - p**3/3 + 3*p**2 - 3*p - 1558. Calculate f(3).
-21
Let x(i) be the first derivative of -i**3/3 - 3*i**2 - 4. Let s = 142 + 57. Let g = s + -204. Calculate x(g).
5
Suppose -1110*m + 1090*m = -64 + 484. Let d(x) = x**3 + 23*x**2 + 41*x - 23. Give d(m).
-2
Let z(v) be the first derivative of 35/2*v**2 + 1/20*v**5 + 0*v + 1/2*v**3 + 43 - 1/6*v**4. Let t(f) be the second derivative of z(f). Calculate t(3).
18
Let l(m) be the first derivative of 4*m**5/15 - m**4/24 + m**3/6 - 11*m**2 + 15. Let g(t) be the second derivative of l(t). Determine g(1).
16
Let p be (-375)/1000 + 5/(-8). Let d(v) = v**2 - 2. Let l(s) = -8*s**2 - 4*s + 7. Let w(k) = p*l(k) - 5*d(k). What is w(-2)?
7
Let m(t) = 4*t**2 + 2*t + 3. Let q(j) = 7*j**2 + 3*j + 5. Let r(v) = -5*m(v) + 3*q(v). Suppose 0 = -1335*g + 1344*g - 9. Calculate r(g).
0
Let z(p) be the first derivative of p**6/360 - 3*p**5/40 - p**4/6 - p**3/3 - 5*p + 50. Let m(n) be the third derivative of z(n). Give m(8).
-12
Let w(z) be the first derivative of -z**4/4 + 10*z**3/3 - 7*z**2/2 - 19*z - 7936. What is w(9)?
-1
Suppose -64 = -4*k + 2*f, -9*k + 4*k + 3*f = -78. Suppose -y + 15 = 4*w - 4*y, -w = 4*y - k. Let c(i) = -i**2 + 7*i + 3. Calculate c(w).
9
Let x(g) = 3*g - 11. Let z be 7/(-14)*1*0. Determine x(z).
-11
Let r(c) = -7 + 5 + 19*c + 20*c - 44*c - 2*c**2. Calculate r(6).
-104
Let f(m) = -6*m + 154. Suppose 682 - 276 = -32*j + 1206. What is f(j)?
4
Let z(l) be the first derivative of 7*l**2/2 + 137*l + 1821. Give z(-21).
-10
Let m(s) be the first derivative of -s**6/360 + s**5/40 + s**4/24 + 83*s**3/3 + 56. Let l(p) be the third derivative of m(p). Determine l(3).
1
Let x(q) = 3*q**3 - 21*q**2 - 166*q + 4. Let d(g) = 2*g**3 - 14*g**2 - 118*g + 3. Let b(m) = 7*d(m) - 5*x(m). What is b(6)?
61
Let m be (0 - (-2)/(-4))*(66 - 72). Let t be m/(1/7*-1*-3). Let x(w) = -w**2 + 4*w + 9. Determine x(t).
-12
Let q(l) be the third derivative of l**5/30 + l**4/6 + l**3/3 + l**2. Let c(d) = 23*d**3 + 69*d**2 + 3*d + 5. Let m be c(-3). What is q(m)?
18
Let i(a) = -a**3 - 27*a**2 - 6. Suppose 3*n = 2*t + 48, 15*n - 10*n + 118 = -4*t. What is i(t)?
-6
Let o(z) be the second derivative of z**4/12 - z**3/3 + 2*z**2 - 298*z - 4. Calculate o(-4).
28
Let o(r) = -r**3 + 6*r**2 + 5*r + 21. Let j be o(6). Let s = j - 48. Suppose -s*m + 1 = -17. Let b(i) = i**3 - 5*i**2 - 5*i + 3. Calculate b(m).
9
Let j(d) = 0*d**3 - d**3 + 6 + 7*d + 3*d**2 - 6*d**2 - d**2. Let u be (7/((-98)/12))/((-16)/56). Suppose -23 = 3*n - 4*z, -3*n - z = -u*z + 19. Determine j(n).
-4
Let u(q) = -q**3 + 32*q**2 - 2*q + 75. Let l be u(32). Let w(x) = 7*x - 73. Determine w(l).
4
Let r(b) = -b**2 - 197*b + 6808. Let y be r(30). Let n(j) = -1 - 3*j**2 + 2*j**2 - j + 0. What is n(y)?
-3
Let i(s) = s**3 + 4*s**2 + 3*s + 15. Suppose -y + 3*n + 17 = 0, 2*y - 1770 + 1813 = -5*n. Give i(y).
3
Let w(n) = n**3 + 4*n**2 + 5*n + 4. Suppose 8*u = -50 + 1282. Let v = u - 157. Give w(v).
-2
Let u(t) = -t + 1. Suppose 4*s - s + 3*m + 1338 = 0, s - 5*m = -434. Let b be s/84 - (-2)/7. Let o be b/10 - (-33)/(-6). Determine u(o).
7
Let x(j) = 9*j**3 + 13*j**2 - 3. Let c(s) = -7*s**3 - 11*s**2 - s + 3. Let h(y) = -4*c(y) - 3*x(y). Calculate h(
|
{
"pile_set_name": "DM Mathematics"
}
|
s 65 divide 978?
False
Is 1452 a multiple of 66?
True
Does 38 divide 907?
False
Does 5 divide 670?
True
Is 34 a factor of 1428?
True
Is 75 a factor of 1954?
False
Is 1428 a multiple of 12?
True
Is 54 a factor of 718?
False
Is 1274 a multiple of 13?
True
Is 13 a factor of 31655?
True
Is 9 a factor of 684?
True
Is 22 a factor of 374?
True
Does 39 divide 20431?
False
Is 98 a factor of 392?
True
Is 13 a factor of 8778?
False
Is 61 a factor of 343?
False
Does 4 divide 116?
True
Is 7105 a multiple of 29?
True
Is 2937 a multiple of 10?
False
Is 330 a multiple of 6?
True
Is 3359 a multiple of 17?
False
Is 600 a multiple of 75?
True
Is 84 a multiple of 6?
True
Does 2 divide 198?
True
Does 7 divide 26?
False
Is 3 a factor of 99?
True
Is 9156 a multiple of 28?
True
Is 43445 a multiple of 27?
False
Does 35 divide 390?
False
Does 7 divide 5047?
True
Is 259 a multiple of 6?
False
Does 35 divide 350?
True
Is 13 a factor of 13?
True
Does 39 divide 681?
False
Is 102 a factor of 5965?
False
Does 75 divide 4981?
False
Is 312 a factor of 56749?
False
Does 10 divide 89470?
True
Does 7 divide 155?
False
Is 739 even?
False
Is 39 a factor of 20943?
True
Does 12 divide 758?
False
Is 12 a factor of 1700?
False
Is 38 a factor of 39976?
True
Is 47 a factor of 1927?
True
Is 116 a factor of 644?
False
Does 10 divide 1300?
True
Is 109994 a multiple of 86?
True
Is 1277 a multiple of 65?
False
Does 71 divide 8804?
True
Does 16 divide 453?
False
Is 38 a factor of 689?
False
Does 11 divide 2824?
False
Is 149 a multiple of 28?
False
Is 20 a factor of 257?
False
Does 38 divide 3879?
False
Is 1227 a multiple of 10?
False
Is 14 a factor of 672?
True
Is 5 a factor of 396?
False
Is 59 a factor of 43847?
False
Is 9287 a multiple of 14?
False
Is 708 a multiple of 12?
True
Is 54 a factor of 3619?
False
Does 61 divide 671?
True
Is 32390 a multiple of 205?
True
Does 3 divide 2458?
False
Is 33995 a multiple of 13?
True
Is 9841 a multiple of 10?
False
Does 11 divide 2717?
True
Does 44 divide 924?
True
Is 24 a factor of 1104?
True
Is 1024 a multiple of 2?
True
Does 52 divide 260?
True
Is 1400 a multiple of 14?
True
Is 493 a multiple of 17?
True
Is 33 a factor of 687?
False
Does 29 divide 5273?
False
Is 238 a multiple of 14?
True
Is 3717 a multiple of 21?
True
Is 857 a multiple of 3?
False
Does 31 divide 527?
True
Is 20808 a multiple of 36?
True
Does 10 divide 17657?
False
Does 32 divide 4256?
True
Does 20 divide 500?
True
Is 18 a factor of 11103?
False
Is 20512 a multiple of 14?
False
Is 29 a factor of 3045?
True
Does 10 divide 799?
False
Is 3 a factor of 744?
True
Does 36 divide 7546?
False
Is 1258 a multiple of 34?
True
Is 902 a multiple of 5?
False
Does 10 divide 4610?
True
Is 3355 a multiple of 6?
False
Is 135 a factor of 65587?
False
Is 1549 a multiple of 56?
False
Is 36 a factor of 1850?
False
Does 59 divide 1800?
False
Does 61 divide 4875?
False
Is 123 a multiple of 58?
False
Does 155 divide 4365?
False
Is 20 a factor of 8246?
False
Is 1938 a multiple of 38?
True
Is 7 a factor of 845?
False
Is 4 a factor of 14553?
False
Is 93 a factor of 168?
False
Is 93621 a multiple of 17?
False
Does 184 divide 43056?
True
Does 59 divide 3068?
True
Is 5025 a multiple of 25?
True
Is 199 a multiple of 14?
False
Does 38 divide 20432?
False
Is 69 a factor of 621?
True
Is 3744 a multiple of 52?
True
Is 19453 a multiple of 13?
False
Is 19450 a multiple of 11?
False
Is 47840 a multiple of 13?
True
Is 1485 a multiple of 119?
False
Is 2039 a multiple of 89?
False
Does 10 divide 160?
True
Is 56 a factor of 504?
True
Is 19 a factor of 12198?
True
Is 14126 a multiple of 121?
False
Is 26 a factor of 519?
False
Does 88 divide 968?
True
Is 5865 a multiple of 23?
True
Does 17 divide 3015?
False
Does 10 divide 1250?
True
Does 69 divide 1433?
False
Is 205 a multiple of 19?
False
Does 10 divide 1560?
True
Does 43 divide 13089?
False
Is 28 a factor of 728?
True
Is 2 a factor of 1717?
False
Is 22 a factor of 1256?
False
Is 162 a factor of 33308?
False
Does 76 divide 10336?
True
Does 85 divide 1190?
True
Is 27648 a multiple of 216?
True
Does 17 divide 335?
False
Is 7 a factor of 268?
False
Is 693 a multiple of 63?
True
Does 26 divide 468?
True
Is 15312 a multiple of 44?
True
Is 66290 a multiple of 31?
False
Is 10 a factor of 56?
False
Is 25 a factor of 375?
True
Does 36 divide 2162?
False
Is 54 a factor of 3834?
True
Does 27 divide 18423?
False
Is 31 a factor of 30969?
True
Does 83 divide 17830?
False
Is 11 a factor of 95625?
False
Does 33 divide 396?
True
Does 176 divide 704?
True
Does 11 divide 4906?
True
Does 45 divide 72636?
False
Is 609 a multiple of 29?
True
Does 6 divide 3902?
False
Is 70926 a multiple of 101?
False
Does 13 divide 22094?
False
Is 11 a factor of 1226?
False
Does 16 divide 1392?
True
Does 32 divide 9696?
True
Is 15 a factor of 765?
True
Does 17 divide 3892?
False
Is 11 a factor of 22440?
True
Does 48 divide 121920?
True
Is 117 a multiple of 11?
False
Is 2323 a multiple of 23?
True
Is 14 a factor of 31976?
True
Does 28 divide 121448?
False
Is 72 a multiple of 4?
True
Is 23936 a multiple of 34?
True
Is 36936 a multiple of 24?
True
Is 1760 a multiple of 55?
True
Is 504 a multiple of 13?
False
Is 4356 a multiple of 11?
True
Is 2976 a multiple of 12?
True
Does 134 divide 2214?
False
Is 98 a factor of 4606?
True
Is 74 a factor of 85120?
False
Is 12 a factor of 156?
True
Is 131 a multiple of 14?
False
Does 44 divide 472?
False
Is 10214 a multiple of 23?
False
Does 3 divide 8727?
True
Is 921 a multiple of 98?
False
Does 16 divide 48304?
True
Does 115 divide 18875?
False
Does 26 divide 19812?
True
Is 204 a factor of 38590?
False
Does 15 divide 4185?
True
Is 35954 a multiple of 25?
False
Does 99 divide 54054?
True
Is 5 a factor of 1995?
True
Is 33067 a multiple of 214?
False
Does 3 divide 30?
True
Is 113531 a multiple of 318?
False
Does 31 divide 615?
False
Is 41824 a multiple of 143?
False
Is 104 a factor of 13832?
True
Is 36 a factor of 21366?
False
Does 192 divide 17668?
False
Is 4290 a multiple of 11?
True
Is 816 a multiple of 17?
True
Does 88 divide 2816?
True
Is 2244 a multiple of 12?
True
Is 5069 a multiple of 42?
False
Is 8 a factor of 63416?
True
Is 10540 a multiple of 62?
True
Does 25 divide 90?
False
Does 24 divide 394?
False
Does 3 divide 7906?
False
Is 162 a factor of 3888?
True
Is 27 a factor of 553?
False
Does 69 divide 5414?
False
Is 48 a factor of 4518?
False
Is 9890 a multiple of 9?
False
Is 8805 a multiple of 15?
True
Is 126 a factor of 12415?
False
Is 3365 a multiple of 9?
False
Is 57 a factor of 145951?
False
Is 5 a factor of 274?
False
Is 7755 a multiple of 11?
True
Is 893 a multiple of 19?
True
Is 1462 a multiple of 34?
True
Is 17 a factor of 637?
False
Is 5490 a multiple of 18?
True
Is 2 a factor of 57?
False
Is 112 a factor of 102035?
False
Does 23 divide 1226?
False
Does 192 divide 51177?
False
Does 80 divide 2720?
True
Does 70 divide 2100?
True
Is 24 a factor of 26826?
False
Is 6 a factor of 57324?
True
Is 14 a factor of 416?
False
Is 49 a factor of 219?
False
Does 122 divide 5586?
False
Is 684 a multiple of 19?
True
Does 38 divide 7752?
True
Does 7 divide 322?
True
Is 4 a factor of 9291?
False
Is 26 a factor of 5179?
False
Does 59 divide 9517?
False
Is 90 a factor of 3749?
False
Is 266 a multiple of 2?
True
Is 495 a multiple of 11?
True
Is 34476 a multiple of 26?
True
Is 3 a factor of 1646?
False
Is 39275 a multiple of 25?
True
Is 2028 a multiple of 192?
False
Is 15 a factor of 15?
True
Does 13 divide 337?
False
Is 10683 a multiple of 18?
False
Is 5 a factor of 190?
True
Is 62730 a multiple of 18?
True
Is 309 a factor of 7525?
False
Is 52 a factor of 1613?
False
Does 17 divide 385?
False
Is 552 even?
True
Does 17 divide 11152?
True
Is 56425 a multiple of 25?
True
Is 30954 a multiple of 50?
False
Does 14 divide 1960?
True
Is 122 a multiple of 61?
True
Is 24 a factor of 3264?
True
Does 18 divide 28422?
True
Does 102 divide 8058?
True
Is 98 a multiple of 3?
False
Does 15 divide 3205?
False
Is 4719 a multiple of 11?
True
Is 58 a factor of 388?
False
Is 92 a factor of 9384?
True
Does 2 divide 219?
False
Is 292 a multiple of 45?
False
Is 4 a factor of 5221?
False
Does 5 divide 745?
True
Is 5725 a multiple of 14?
False
Is 34378 a multiple of 74?
False
Is 9 a factor of 7333?
False
Doe
|
{
"pile_set_name": "DM Mathematics"
}
|
ultiple of x and 402?
2814
Suppose -4*k = -20, -3*p = 6*k - 7*k + 155. What is the common denominator of p and -70/9?
9
Suppose 0 = -65*g + 57*g + 3424. Calculate the lowest common multiple of 3 and g.
1284
What is the lowest common multiple of ((-1)/(-3))/(6/54) and 174?
174
Let x = -176798 + 61879353/350. Calculate the common denominator of x and -47/350.
350
Let k(p) = -p**2 + 4*p - 19. Let g(n) = 3*n**2 - 13*n + 58. Let m(v) = 4*g(v) + 11*k(v). What is the least common multiple of 8 and m(7)?
16
Let f = -1757 - -1763. What is the least common multiple of f and 271?
1626
Let a(c) = c**3 - 5*c**2 - 7*c + 7. Let g be a(6). Let i = g - -20. Let q(u) = -4*u**2 + u + 2. What is the least common multiple of i and q(0)?
42
Let z = -12 + 34. Suppose -y - z = -2*y. What is the lowest common multiple of y and 28?
308
Let r be (-20014)/7420 - (-4)/4. Let u = r + -1/371. Find the common denominator of u and -50/3.
30
Let x = 3205399/14670 + -2/7335. Let g = -1471599/6622 + 142/473. Let c = g + x. What is the common denominator of c and -9?
7
Suppose 4*g = q + 4192, 5*g + 42*q = 39*q + 5240. Calculate the lowest common multiple of g and 5.
5240
Let a = 8/127 - 11129/1270. Find the common denominator of a and 18/545.
1090
Let r = -3 - 5. Let i = 5 + r. Calculate the least common multiple of 2*(1 - 2)*i and 12.
12
Let d = 10 + -9. Let p = 110 + -879/8. Calculate the common denominator of p and d + (-33)/7 - (-1 + -1).
56
Let s = 36 - 24. Calculate the lowest common multiple of s and ((21/(-6))/7)/((-27)/162).
12
Calculate the lowest common multiple of (-736)/(-7) + (-20)/140 and 10.
210
Suppose -4*d - 3*a = -3*d - 12, 2 = 2*d - 5*a. Let z be -3*-1*2*1. Let m = z + d. What is the smallest common multiple of m and 2?
12
Let j = 921/14 - 345/7. Let o = 266 + -1865/7. Find the common denominator of o and j.
14
Let k be 80/6*(10 - 13). Calculate the common denominator of (-3 - 1) + 34/24 and (-590)/k + 1/(-2).
12
Calculate the lowest common multiple of (1 - (-33)/6)/((-4)/(-24)) and 249.
3237
Let d = 2353091/99 + -23769. What is the common denominator of d and 88/45?
495
What is the common denominator of -57/16 and ((-12)/32*1)/(99/(-1331))?
48
Let r = 3064/3 - 1324. Let y = r - -299. Calculate the common denominator of y and -43/5.
15
Let q = -4602 + 18313/4. Calculate the common denominator of 9/6 - 819/72 and q.
8
Let r(y) = 3*y + 2. Let l(d) = -d**2 - 6*d + 16. Calculate the smallest common multiple of l(0) and r(3).
176
Suppose 0 = -4*s + s - 354. What is the common denominator of (-1)/((-6)/s) + 1 and (-4)/(-6) - (-546)/36?
6
Calculate the common denominator of -101/142 and (-1)/4*(-6)/(6/59).
284
Suppose 11*q - 16*q + 190 = 0. Suppose p + 56 = -p. Let g = p - -46. What is the lowest common multiple of g and q?
342
Let h(p) = -2*p + 18. Let a be h(14). Find the common denominator of 5/((-550)/(-4))*-10 and 1/11*a + 2.
11
Let k = -43 + 40. Let s be 3/(k/(197 - -1)). Calculate the common denominator of (-2)/(-3)*s/(-27) and -34/31.
279
Let d = -31 - -36. Suppose 3*s - 42 = -3*p, -5*s = -d*p + 8 + 82. Calculate the least common multiple of p and 6.
48
Let j be 4826/(-873)*3 - (-5 - -2). Let m = -8/97 + j. Calculate the common denominator of m and (-276)/(-110) + 2/5.
33
What is the lowest common multiple of 15 and (-1 + -2)*(-1 - (-14)/(-3))?
255
Let k = -5815/784 - -97/49. Let b(z) be the second derivative of z**5/20 - 3*z**4/4 + 5*z**2/2 - 2*z. Find the common denominator of b(9) and k.
16
Let f(c) = -c**3 - 68*c**2 + 68*c - 26. What is the lowest common multiple of f(-69) and 344?
344
Let o = -1736/15 + 9137/80. What is the common denominator of -77/39 and o?
624
Let t = 84153/16 - 5262. Let h = 1/16 - t. Calculate the common denominator of h and (2/(-8))/(27/510).
18
Let l = -1614 - -1920. Calculate the least common multiple of l and 204.
612
Suppose 0 = 4*q + 2 - 46. Let y = q - 8. What is the lowest common multiple of y and 5?
15
Suppose -5*y - 244 = -64. Calculate the common denominator of ((-3)/(-20))/((-24)/(-176)) and (1*10)/(y/29).
90
Suppose 0 = -2*c + a + 79, -2*c + a + 40 = -c. Suppose -c = 4*m - 99. What is the lowest common multiple of m and 9?
45
Let s = 4117 + -4099. Let h = -5 + 11. Calculate the least common multiple of h and s.
18
Let t = -113725/18 - -6321. Calculate the common denominator of t and -9/16.
144
Let b be 1 - ((-48304)/6 - 18/54). Let f = -112675/14 + b. Let y = 2449/180 - 68/9. Find the common denominator of y and f.
140
Suppose -107*f + 14747 = -9649. Suppose 0 = 2*s - 27 + 3. Calculate the least common multiple of f and s.
228
Let u = -3438651904/485 + 7089999. Let j = u + 5/194. What is the common denominator of 748/(-168) - 4/(-14) and j?
30
What is the common denominator of (67/(-201))/(14/348) and -93/16?
112
Let w(q) = 12*q - 108. What is the smallest common multiple of w(10) and 2?
12
Find the common denominator of (1/(-22))/(123/1558) and -2/3.
33
Let u(z) = -z**3 + 2*z**2 + 10*z + 6. Let w be u(-2). Let p = -6 + 4. What is the common denominator of w - ((-38)/8 + p) and 1?
4
Let n(s) = s**3 + 6*s**2 + s. Let o be n(-3). Suppose 0*q + 70 = 5*q. What is the lowest common multiple of (o/14)/(1/(-7)*-1) and q?
84
Suppose 107*c = 105*c + 32. Calculate the lowest common multiple of c and 148.
592
Calculate the common denominator of ((-161)/(-1380))/(-12*(-2)/220) and 1/6.
72
Let c = 232 - 222. Calculate the smallest common multiple of 40 and c.
40
Suppose -42*d + 4132 + 4100 = 0. Calculate the smallest common multiple of 280 and d.
1960
Let k(r) = r**3 + 3*r**2 - 6*r - 2. Let y be k(-4). Let f(u) = u**3 - 6*u**2 - 2*u + 13. What is the lowest common multiple of f(y) and 40?
40
Let i be 0 + 1 - 63612/(-11). Let u = 2935 + 2844. Let s = u - i. Find the common denominator of 93/10 and s.
110
Let k = 681 - 591. Calculate the lowest common multiple of 90 and k.
90
Suppose -x + 3*i = -6*x + 1000, 0 = 4*x + 3*i - 800. What is the least common multiple of 80 and x?
400
Suppose 7 = 3*s + 1. Suppose -19 = -s*o - 3. What is the lowest common multiple of o and (-7)/21*(-12)/1?
8
Let w = 466 + -314. Calculate the lowest common multiple of w and 18.
1368
Let q be -4*(0 + -3 + 21/6). Find the common denominator of 6/(-8)*50/4 and ((-10)/550)/(q/425).
88
Suppose 4*m + 16888 = -g - 2*g, -3*g + 8444 = -2*m. Let u be (7 - 8) + m/(-748). Let j = 4/17 - u. Find the common denominator of j and 19/8.
88
Let g = 344945736/451 - 764845. Let d = g - -20/41. Find the common denominator of -4 - -4 - (-399)/18 and d.
66
Let m = -60120233/326820 - 1692/2095. Let w = -551/3 - m. What is the common denominator of 109/14 and w?
364
Let o(b) = -2*b**2 - 23*b - 17. Let l be o(-16). Let i = -2770 - -16511/6. What is the common denominator of l/(-35)*(-5)/(-16) and i?
48
Let g(x) = -7*x + 17. Let c(o) = -7*o + 18. Let b(w) = 6*c(w) - 7*g(w). Calculate the smallest common multiple of b(13) and 16.
80
Suppose 2*a - 253 = -53. Calculate the lowest common multiple of a and 3.
300
Let z be 1965/(-20)*(-32)/12. Suppose t - 3*d + 6 = 0, 0*d - 2 = t + d. What is the common denominator of (-6)/t + z/(-28) and 33/4?
28
Let o be (-31)/(-11) - 2/(-11). Suppose -o*r - 1 = 11. Find the common denominator of 31/2 and 10/8 + r/(-8).
4
Suppose f - 108 = -2*f. Suppose -4*i = -28 - f. Find the common denominator of ((-123)/i)/((-27)/(-18)) and 47/10.
40
What is the smallest common multiple of ((162/12)/(-3))/((-2)/24) and 182?
4914
Let s(p) be the second derivative of -5*p**4/12 - 4*p**3/3 - 5*p**2/2 + p. Let x be s(-5). Calculate the common denominator of 8/(-12) - 231/x and -5.
10
Suppose -5*h - 16 = -9*h. Suppose -h*m - 184 = 2*c, c + 172 = -4*m - 4*c. What is the common denominator of (-26)/(-12) + 2 + (-8 - -5) and m?
6
Let p = -307 - -325. Let f = 29 + -9. Calculate the smallest common multiple of p and f.
180
Let i be 0/(-2*(1 + -3)). Suppose i*j - j = 0, -7 = -m + 4*j. Calculate the smallest common multiple of 10 and m.
70
Let s(q) = q - 12. Let l be s(10). Calculate the common denominator of l/(-9) + (-25)/(-18) and 3/10.
90
Let s(k) = 3*k**3 - 2*k**2 + 7. What is the least common multiple of s(3) and 35?
70
Let l(s) = 4*s**2 + 17*s + 2. Let g be l(-13). Let j = g + -7305/16. Find the common denominator of j and -5/2.
16
Let h(y) = 5*y**2 - 49*y + 284. Calcul
|
{
"pile_set_name": "DM Mathematics"
}
|
r p?
-1
Let q be 4/14 + 12/105. Let d = -127319/93 + 1369. Which is greater: q or d?
q
Let p = -6337/3 + 2083. Is -30 at least p?
False
Let v be -11 + (9 - -2) - -2. Suppose -2*u = 14 + 6. Let t be (2/u)/(3/(-12)). Does v = t?
False
Let a(t) = t + 6. Let q be a(-14). Let c be (1 - 21)*8/q. Let m be c/(-90) + (-22)/(-18). Which is smaller: m or 3?
m
Let k(u) = -10 - u + 4 - 3. Let s be k(-7). Let w be 12/11*(32 + -33). Which is bigger: s or w?
w
Let o be 3/(5/10*-1*3). Let w be (-2)/((1 - o) + -5). Which is smaller: -1/4 or w?
-1/4
Let w be (2/3)/((-4)/(-12)). Suppose -4 = -k - 2*h, 1 = k - w*h + 5*h. Suppose -3*d + 13 = k. Which is smaller: d or 2?
d
Let y(t) = -4*t - 76. Let m be y(-15). Let a(w) = -w - 27. Let f be a(0). Let j = m - f. Does j = 10?
False
Let c be 2156/(-84) + 2/(-6). Let l be (-12)/320*(c/12 - -3). Is l smaller than -1?
False
Suppose 5*z - 4*i - 2334 = 0, -2*z - 241 = -4*i - 1165. Is 0.1 less than or equal to z?
True
Let g = 1.31 + -1.5. Let a = -34.09 - -34. Let i = a - g. Which is smaller: i or 3?
i
Let r = -11 - -39. Let n be (0 - (4 + (-4 - -4))) + 34. Are r and n nonequal?
True
Suppose -38*l + 230 = -15*l. Are l and 128/13 non-equal?
True
Let m = -0.32 + -6.68. Let k = m + 7.06. Let a = k + -0.36. Is a at least as big as -2?
True
Let r = 199269/89 + -2239. Is 2/3 at most r?
False
Suppose -5*g = -g - 72. Suppose 2*k = 6 + g. Suppose v + v - 14 = 5*t, -t + 5*v = k. Is t equal to -1?
False
Let v = -2/61 - -67/183. Let n = -29.87 - -30. Let g = n + -0.03. Which is greater: g or v?
v
Let b(o) = -o**3 - 6*o**2 + 8*o + 6. Let t be (-1 + -6)/(0 + 1). Let k be b(t). Let m be -5 - k*(4 + 0). Which is smaller: m or -1/46?
m
Let g = -2.6 - -6.6. Are -30 and g non-equal?
True
Let b(z) = -5*z**2 + 3*z + 5. Let t be b(-4). Let d be (-1925)/22 + (-17)/34. Which is smaller: d or t?
d
Let f be 2 + 1 + (-1 - 0). Suppose -3*m = -f*m + 49. Let g be (-7)/m - 26/(-112). Is g at least as big as 1?
False
Let s(i) = 6*i. Let d(x) = 15*x. Let w(n) = -5*d(n) + 12*s(n). Let l be w(-2). Suppose t + 7 = b + b, 4*b + t - 23 = 0. Does l = b?
False
Suppose 7*r = 4*r - 3. Let h = 14 - 10. Let j be h + (-115)/105 + -3. Which is bigger: j or r?
j
Let q = 205/62 + 6/31. Suppose 0*k + 3*k - 3 = 2*g, 4*g - k + 11 = 0. Let f(s) = s**3 + 5*s**2 + 5*s + 1. Let z be f(g). Which is greater: q or z?
z
Suppose 2*c + 25 = o, 0 = -c + 2*c. Suppose h + 1 = -0*d - 2*d, 0 = 5*h + o. Suppose -3*q + 0 = -v - d, 6 = -3*v. Are -4/9 and q nonequal?
True
Let m = -183 + 135. Which is greater: -46 or m?
-46
Let y be 252/(-780) - 2/(-6). Let q be (-3)/(-5) - 1061/780. Let k = y + q. Which is smaller: k or 0?
k
Let m = -1114 + 1112. Is m at least -89?
True
Let c = 4 + 0. Suppose -d + 2*v + 6 = 0, -c*d + 24 = -6*d - 5*v. Are -17/6 and d equal?
False
Let j(h) = h**3 + 26*h**2 + 24*h + 8. Let x be j(-25). Let n = 197/6 - x. Suppose 0 = 3*z - i - 4, 4*z = -z - 5*i. Do n and z have different values?
True
Suppose -2*j = j - 5*f + 70, -3*j - 86 = -f. Let o be 3/(-220)*4790/j. Let r = o + 1/44. Which is bigger: 1 or r?
r
Let w = -143 - 360. Do w and -502 have the same value?
False
Let b = 63 + -60. Suppose -b*k + 3*v = -k - 1, -3*v - 5 = -4*k. Is k < 2?
False
Let b be ((-15)/(-6) - 3)/(-1)*2. Is b equal to 1/142?
False
Suppose 2*g = -2*g - 12, -v = 2*g - 38. Suppose 0*i - v = -4*i. Are 14 and i non-equal?
True
Let p(z) = z**2 - 17*z + 14. Let c be 72/6 + (-8)/(-2). Let y be p(c). Which is greater: y or -6/11?
-6/11
Let l = 12 + -13. Let k be -18*1/(-2)*l. Let w(c) = -c**3 - 8*c**2 + 10*c + 7. Let j be w(k). Is -6/11 < j?
False
Suppose -33*b = -26*b + 14. Which is smaller: 21 or b?
b
Suppose 2 = -3*z - 4*g + 7, 2*z = 5*g + 34. Let s(c) = c**2 - 8*c + 8. Let v be s(z). Let y be 5*(-25)/(-40) - 3. Is v smaller than y?
False
Let a be 4 + (0 + -4 - 14). Let u(v) = 3*v - 32. Let w be u(6). Is w at most as big as a?
True
Let o(i) = i**2 + 15. Let n be o(0). Suppose 5*a - 2*a + 4*r = -169, 0 = 3*r + 3. Let l be (-18)/(-22)*1 + (-10)/a. Which is bigger: n or l?
n
Suppose -78*b - 2013 = -89*b. Is b at most 184?
True
Let p = -1.06 - -0.26. Let g = p + 0.9. Do -2/23 and g have the same value?
False
Let a(t) = -t**3 - 9*t**2 + 32*t + 82. Let f be a(-11). Which is bigger: f or -32?
f
Let c(g) = 36*g**2 - 10*g + 4. Let w be c(4). Is 541 smaller than w?
False
Suppose 0 = 3*w - 6 - 3. Let o be (-1)/(w/(-18) - -3). Suppose 2*m + 0*m = -2. Which is bigger: m or o?
o
Let c = 1.2 - 1.1. Let b = 2.7 + -1.7. Let s = b + -2. Which is greater: c or s?
c
Let f = 17 - 9. Suppose 171*o - 529 + 16 = 0. Is f >= o?
True
Suppose 2*r + 3*i = 2259, -3*r = -0*r - 5*i - 3341. Let d be r/660*(-1 - 16/(-6)). Which is smaller: 3 or d?
d
Let t(l) = -l**3 - 14*l**2 - 16*l + 17. Let o be t(-13). Let k = o - 82. Let n = -22 - k. Is 4 less than n?
False
Let n(d) be the second derivative of 1/12*d**4 - 11/6*d**3 + 11/2*d**2 + 0 + 5*d. Let h be n(10). Are 2/7 and h equal?
False
Let t(n) = -n**2 + 11*n - 9. Let v be t(8). Let d = v + -43. Is -28 greater than d?
False
Let x be 355/10 - (-10)/(-4). Which is smaller: x or 31?
31
Let u(k) = -k - 3. Let f be u(-4). Let g = 23521/17 - 1383. Which is smaller: g or f?
g
Let l be (-88)/396 - -2391*(-2)/351. Is l less than -15?
False
Let t = 20 - 20.78. Let i = -0.78 - t. Is 1/3 <= i?
False
Let z = -620 + 619. Which is bigger: z or 1/36?
1/36
Suppose 3 = -2*k + 5. Suppose -5*a - k = -u, 3*u - 5*a + 13 = u. Is -15 > u?
False
Let k = 2 + -2. Let s(b) = b**3 + 5*b**2 + 2*b - 11. Let a be s(-5). Let g be -3 - (a/35 + (-53)/20). Is g at most as big as k?
False
Let d = -6 - -1. Let g = d - -9. Let r = 4.1 - g. Is r > 3/2?
False
Let a = 15.04 + -0.04. Let l = a + -16.2. Let r = l - -0.2. Is r at least 0.9?
False
Let g = 317/306 + -5/34. Are g and 1 nonequal?
True
Let l = -2104 - -2104. Is 13/28 smaller than l?
False
Suppose -5*l - 2*p - 4 = 0, 4*p + 6 = 4*l + p. Suppose 4*f - 16 = l, -f + 18 = 3*a - 10. Is a greater than or equal to 9?
False
Let f be (1 - 1701/3)*(-2)/20. Which is greater: 58 or f?
58
Suppose 9*u - 7*u - 144 = 0. Let m be 3*(-6)/(u/(-20)). Which is smaller: 4 or m?
4
Let l be 1*(-3)/((-3)/2). Suppose -5*j + 0*d + 8 = -2*d, 10 = 4*j + l*d. Suppose -x + 36 = 5*n, 0 = -2*x + 81 - 69. Is j less than n?
True
Let a = 0 - 0.3. Let m = 2.1 + -0.1. Let j = m + -1. Is a greater than j?
False
Suppose 672 = -13*g + 20*g. Which is smaller: 94 or g?
94
Let p = 13 + -8. Let l = -6 + p. Which is smaller: -2/21 or l?
l
Suppose 4*g - 4*w + 21 = -27, 18 = -4*g - 2*w. Let s(m) = m + 5. Let f be s(g). Is -9/13 > f?
True
Suppose 12*f - 92 = 40. Suppose 4*b + 19 = -3*p - f, -5*p - 5*b = 45. Let w(c) = c**2 + 7*c + 4. Let k be w(-3). Do p and k have the same value?
False
Let b be 40/(-20) - 32/(-18). Let x be (3 + 33/(-12))*4. Does x = b?
False
Let o = 0.1 - 37.1. Let r = o + 37. Which is greater: r or -0.25?
r
Let j be 24/324*-6 + 3106/(-18). Is j at least -174?
True
Let f(j) = 4*j**3 + j**2 - 2*j. Let o be f(1). Suppose -h - 2*c = 2*h - 34, -4*h = -o*c - 51. Let b be h/(-5) + (-2 - -4). Which is bigger: 1 or b?
1
Let u = -132132 - -930641/7. Let y = -818 + u. Let v(k) = k**2 + 6*k. Let b be v(-6). Which is smaller: b or y?
y
Let s = -1139/3304 + 25/56. Which is greater: -1/2 or s?
s
Let a = 1.0009 - 0.0009. Suppose -3*w - 66 = 4*m - 274, 0 = -2*w + 2*m + 134. Suppose 0*f = -4*f + w. Does f = a?
False
Suppose 0 = -3*c - 2*c - 230. Let o = 93 + c. Do 46 and o have the same value?
False
Let o = -50 + 26. Let k = 9 + o. Do k and 3 have the same value?
False
Let i = -0.37 + 0.26. Let q = 46.55 + -46. Let d = q - -0.45. Which is greater: i or d?
d
Let f be 116/(-30) - (-2)/(-15). Let b(j) = -2*j - 5. Let h be b(f). Suppose 6*g - 5 = g + 4*o, h*g = -2*o + 3. Is -1/4 bigger than g?
False
Let h = 335 - 334.994. Are h and 0 non-equal?
True
Suppose 115 = -4*y + 319. Let z = y - 51. Which is smaller: z or -2/75?
-2/75
Let s = -2306711/780 - -11829/4. Which is smaller: s or -1?
-1
Let h = -311 - -374. Let p be (18/(-4))/((-3)/42). Are p and h non-equal?
False
Let w(s) = 3*s - 20. Let y be w(8). Suppose -116 = y*m + m - 3*a, 0 = 3*m - 2*a + 70. Let k = 31 + m. Which is greater: k or 7?
k
Let a = -0.8 + -1.55. Let i = a - -2.4. Which is smaller: i or -1/3?
-1/3
Suppose -l = -3*z + 9, -l + 6 = 3*l + 2*z. Suppose -3*p
|
{
"pile_set_name": "DM Mathematics"
}
|
sqrt(24) + sqrt(24)).
15*sqrt(19)/4
Simplify (-3*(-1*sqrt(187) - sqrt(187)))/sqrt(11) - 6*(sqrt(425) - (sqrt(425) + 1)).
6 + 6*sqrt(17)
Simplify ((sqrt(68) + (sqrt(68) - (sqrt(68) - (sqrt(68) + sqrt(68)*2)*2)) - sqrt(68)) + (-5*2*sqrt(68) - sqrt(68)))/(-4*-3*sqrt(144)).
-5*sqrt(17)/72
Simplify (3*(-4 + 1*(-2 + sqrt(1900)) + 4))**2.
-360*sqrt(19) + 17136
Simplify (6*(-1*(4 + sqrt(19) + 2*sqrt(19)) - (1 + sqrt(1216))*-2))**2.
-1872*sqrt(19) + 115740
Simplify (2 + sqrt(720)/sqrt(9))**2*1 + -1.
16*sqrt(5) + 83
Simplify (4*sqrt(2816)*6)/(sqrt(4)*-1*-4 + sqrt(32)/sqrt(2)).
32*sqrt(11)
Simplify 3 + 3*((sqrt(180) - (sqrt(180) + (-1 + sqrt(180) + sqrt(180) - sqrt(180)) + sqrt(180)))**2 + 5 + 5).
-72*sqrt(5) + 2196
Simplify (sqrt(1100) + 4 - (sqrt(704) + -2 + 3))**2.
12*sqrt(11) + 53
Simplify (sqrt(11) + 2)*3 + (sqrt(121)*-1)/sqrt(11) - (sqrt(110)/(-2*sqrt(10)) + (sqrt(110)*1)/sqrt(10))**2.
13/4 + 2*sqrt(11)
Simplify (-2 + (sqrt(48) - (sqrt(48) + (sqrt(48) - sqrt(768)) + 4 + sqrt(48))) + -3)*5.
-45 + 40*sqrt(3)
Simplify 3 + ((2*sqrt(1300)*4 - 1*sqrt(1300)*-5)*4)**2.
3515203
Simplify (sqrt(150) - (sqrt(150)*3 - sqrt(150))*-5)/(sqrt(2) + -2*sqrt(2)*1 + sqrt(10)/(sqrt(125) + sqrt(5))).
-66*sqrt(3)
Simplify 2*(4 + 1 + sqrt(72) + (sqrt(72) - (1*sqrt(72) - sqrt(72))) + -4)**2 + 3.
48*sqrt(2) + 581
Simplify 4 + ((sqrt(208) + sqrt(208) + -1)**2 + -2 - (sqrt(1872) - 2*-2*sqrt(1872))**2).
-45965 - 16*sqrt(13)
Simplify 6*(-2 + (((sqrt(120)/sqrt(2))/sqrt(12))**2 + (6*(sqrt(5) + 0))**2)*-2*6).
-13332
Simplify ((sqrt(7488) - (0 + sqrt(7488)))*2 + sqrt(7488) + 0 + 3)*-3.
-72*sqrt(13) - 9
Simplify ((3*sqrt(280))/sqrt(8)*-3)/(sqrt(20)/sqrt(4)*-3 - sqrt(10)/sqrt(2)*6).
sqrt(7)
Simplify (sqrt(400)/((sqrt(90)*-2)/sqrt(9)))/((1*sqrt(128) - sqrt(128) - sqrt(128)) + sqrt(80)/(2*sqrt(10))).
sqrt(5)/7
Simplify ((1 + (sqrt(5) - sqrt(125)))*3)**2 + (sqrt(15) + (sqrt(240) - (sqrt(240) + sqrt(240) + sqrt(240)*-1)) + sqrt(240))/sqrt(3) + 3.
-67*sqrt(5) + 732
Simplify ((sqrt(396) + sqrt(396)*-3)*3)/(sqrt(16)*-4*2).
9*sqrt(11)/8
Simplify (sqrt(228) + -2*sqrt(228)*-3 + (sqrt(228)*2*4 - sqrt(228)))/(sqrt(36)/(3*(sqrt(24)/sqrt(8) + sqrt(3)))).
84*sqrt(19)
Simplify -3 + ((sqrt(833) + sqrt(833) + (-1 + sqrt(833) - sqrt(833)))*1)**2 - (sqrt(68) - 4*2*sqrt(68) - sqrt(68))/(sqrt(24)/sqrt(96)).
4*sqrt(17) + 3330
Simplify -5*(-5 + (-2*sqrt(1573) + sqrt(1573))*2)**2.
-31585 - 1100*sqrt(13)
Simplify 2*((sqrt(1216) - (sqrt(1216) + (-1*sqrt(1216))**2 + -4)) + 3 + 2).
-2414
Simplify ((sqrt(2160) - sqrt(2160)*-4) + sqrt(2160) - sqrt(60))/sqrt(12) - (4 + sqrt(35)/sqrt(7))*-3.
12 + 38*sqrt(5)
Simplify 1*6*((sqrt(14)*2*-5)/sqrt(2))**2*-6.
-25200
Simplify 1 + (2*(sqrt(272) + 2*sqrt(272)) - (-2 + sqrt(272))*4)**2.
128*sqrt(17) + 1153
Simplify ((sqrt(72) + 1 + 0)*-2 + (sqrt(162) - (sqrt(162) + 2*1*sqrt(162))) + 5)**2.
-180*sqrt(2) + 1809
Simplify (sqrt(2) - (sqrt(2) + 4 + sqrt(2) + (sqrt(8)/sqrt(4))**2 + sqrt(2)))*-6*-4*6.
-864 - 288*sqrt(2)
Simplify (sqrt(225)*2 + sqrt(225))/(sqrt(5) - (sqrt(60)*2)/sqrt(12))*-3.
27*sqrt(5)
Simplify (-3*-2*sqrt(209) - 4*sqrt(209)*-2)/(sqrt(22)/(sqrt(24)/sqrt(3) - sqrt(2))).
14*sqrt(19)
Simplify 1*(sqrt(3) + -2 + sqrt(3))*6*-4*-2.
-96 + 96*sqrt(3)
Simplify 2*(-3 + (3 + -3*sqrt(275))**2 + sqrt(275)).
-170*sqrt(11) + 4962
Simplify ((sqrt(22)/sqrt(2)*4 + 2 - (sqrt(1584)*1 + 0)) + 5 + 1)**2.
-128*sqrt(11) + 768
Simplify ((1*sqrt(500))**2 + -1)*5 - ((sqrt(80) - (sqrt(80) - sqrt(80)*2))**2 + (sqrt(5) + 2)*-3).
3*sqrt(5) + 2181
Simplify 3 + ((sqrt(84)*-1 + sqrt(84))/sqrt(12))**2 - ((sqrt(49)/sqrt(28))**2 + -5).
25/4
Simplify -6*((3*sqrt(280))/sqrt(8))/(-1*sqrt(180)) + 3.
3 + 3*sqrt(7)
Simplify 5*(sqrt(12)/(sqrt(36)*3) + (sqrt(3) + (sqrt(135)/sqrt(5) + sqrt(27))/sqrt(9))*4).
545*sqrt(3)/9
Simplify (-2*sqrt(1700) + 3 - -3*(sqrt(272) + -4 - sqrt(17)))**2.
198*sqrt(17) + 2138
Simplify 3 + (sqrt(3) - (0 + sqrt(192) - sqrt(3)))**2 - (5 + 3*sqrt(108)).
-18*sqrt(3) + 106
Simplify (sqrt(52)/sqrt(256) + sqrt(13) + 3 - (-1*sqrt(468))**2)*1.
-465 + 9*sqrt(13)/8
Simplify -5*((sqrt(136) - (sqrt(136) + (3*sqrt(136) - sqrt(136))*5))/sqrt(8) - -1*(sqrt(272) + 5)).
-25 + 30*sqrt(17)
Simplify (sqrt(68)/(sqrt(4)/(-1*sqrt(2))))/(5*(sqrt(242) + -2*sqrt(242))).
sqrt(17)/55
Simplify (0 + 0 + sqrt(891) + 1 + -3 + -4 + -5)**2.
-198*sqrt(11) + 1012
Simplify -6*(-3 + ((1 + sqrt(2268) + -2)*2)**2).
-54438 + 864*sqrt(7)
Simplify (-1 + (sqrt(304)*-1 - sqrt(304)) + 1 - (5 + -1*sqrt(304) + 0 + sqrt(304) + -2))**2.
48*sqrt(19) + 1225
Simplify -3*6*(3 + (sqrt(171)*4)**2) + 2.
-49300
Simplify (sqrt(2) + sqrt(10)/(sqrt(20)/sqrt(4)) - sqrt(12)/(sqrt(54) + sqrt(6) + sqrt(6)))**2 + 2 + sqrt(1152).
212/25 + 24*sqrt(2)
Simplify -2 + ((1 + sqrt(1331) + sqrt(1331)*-2 + 5)*2)**2.
-528*sqrt(11) + 5466
Simplify -4*(2*sqrt(832)*2 + -4 + -2).
-128*sqrt(13) + 24
Simplify -4*(0 + 3*(sqrt(39)/(sqrt(9)/(sqrt(9)/sqrt(3))))**2 + 2).
-164
Simplify ((sqrt(210)/(sqrt(10)*-2) - sqrt(21))/sqrt(3) - (2 + sqrt(504)/sqrt(8)))**2.
18*sqrt(7) + 583/4
Simplify (sqrt(242) + -1 + sqrt(242) + 4)**2 + (2 + sqrt(32) + -4)**2.
116*sqrt(2) + 1013
Simplify ((sqrt(56) - (3*sqrt(560))/sqrt(10) - sqrt(56))*-3)/(-1*sqrt(392)*-2).
9*sqrt(7)/14
Simplify (sqrt(432)*1 - sqrt(432) - -6*(-1 + sqrt(3))) + -6*((sqrt(15) - sqrt(60)) + sqrt(15))/sqrt(5).
-6 + 6*sqrt(3)
Simplify (-1 + sqrt(2) + -1 + sqrt(8))**2 - (sqrt(8)/(sqrt(4)*2*-6))**2.
-12*sqrt(2) + 1583/72
Simplify (sqrt(468)/(sqrt(45)/sqrt(5)))/sqrt(4) + (sqrt(1573) + 1 + sqrt(1573) - sqrt(1573))*-3.
-32*sqrt(13) - 3
Simplify ((-3*sqrt(90) + sqrt(90))/sqrt(3))/(sqrt(640) - (sqrt(640) + sqrt(640)*-1) - sqrt(640) - sqrt(640)).
sqrt(3)/4
Simplify 5*(3 + (-2*sqrt(720)*-1 + sqrt(720)*-2 + 1 + 4)**2).
140
Simplify ((-2*-5*(sqrt(60) - sqrt(240)))/(1*1*sqrt(588))*-2)**2.
2000/49
Simplify (sqrt(38)/(sqrt(22)/(sqrt(11)*3)) - (-4*sqrt(152)*3)/sqrt(8))*2.
30*sqrt(19)
Simplify (6*(sqrt(96)/(sqrt(12)/sqrt(3)))/(sqrt(18)/(1*sqrt(6)))*-5)**2.
7200
Simplify ((sqrt(325) - sqrt(13)) + sqrt(13) + -4 + 2 + -4 + (sqrt(13) - -2*sqrt(13)) + 4)**2.
-32*sqrt(13) + 836
Simplify sqrt(68) + (-4 + 3*sqrt(68))**2 + -1*sqrt(68)*1.
-48*sqrt(17) + 628
Simplify 5 + 1*(-1*sqrt(12) - (3 + sqrt(108))).
-8*sqrt(3) + 2
Simplify ((sqrt(1300) + -1 - sqrt(13)) + sqrt(13) - (1*sqrt(1872))**2 - (2*sqrt(1573) + sqrt(143)/(sqrt(22)/sqrt(2)))) + 5.
-1868 - 13*sqrt(13)
Simplify (2*(1 + sqrt(175) + -4 + sqrt(63)))**2*-3*5.
-27420 + 2880*sqrt(7)
Simplify ((3 + sqrt(171) + sqrt(171)*3 + sqrt(171) + (2 + sqrt(171))*3 + -2)*5)**2.
8400*sqrt(19) + 274825
Simplify (-3*(1 + sqrt(7) + -4))**2 + (-1*sqrt(378))/sqrt(6).
-57*sqrt(7) + 144
Simplify (0 + (-1*((sqrt(98) - sqrt(98)*-5) + sqrt(98)))**2)*-5.
-24010
Simplify -3 + (4 + sqrt(9)/sqrt(3) - (sqrt(432) + 2)).
-11*sqrt(3) - 1
Simplify 5 + ((sqrt(153)*-2*4 + (sqrt(153) + -1)*1)**2 - (sqrt(153) + 0 + -5 - ((sqrt(153) - (sqrt(153) + -1 + -1))**2 - sqrt(153) - sqrt(153)))).
33*sqrt(17) + 7512
Simplify -5*(sqrt(128)/sqrt(4) + sqrt(32)) + sqrt(16)/(1*sqrt(8)*-4).
-161*sqrt(2)/4
Simplify 5 + ((((2*sqrt(660))/sqrt(11) - sqrt(60))/sqrt(3))/(sqrt(196)*2*6 + sqrt(196) - sqrt(196)))**2.
35285/7056
Simplify 1 + (5*sqrt(165)/sqrt(5))/(-4*sqrt(75)).
-sqrt(11)/4 + 1
Simplify sqrt(18)/(-2*sqrt(144)) - (sqrt(90)/sqrt(5))/sqrt(9)*-6.
47*sqrt(2)/8
Simplify ((-5 + (-5*sqrt(143)*-2)/(sqrt(11) - sqrt(121)/(sqrt(11)*-2)))*2)**2.
-800*sqrt(13)/3 + 21700/9
Simplify (sqrt(432) + (sqrt(432) - (1 + sqrt(432) + -1)) + -3)**2 + (-2*((sqrt(432) + 1 - sqrt(432)) + -5))**2 + 3.
-72*sqrt(3) + 508
Simplify (-1 + -4 + -6*((-5 + (sqrt(1216) + 1 + sqrt(1216) - sqrt(1216)) - sqrt(1216) - sqrt(1216)) + -4))**2.
4128*sqrt(19) + 45625
Simplify (-5 + -2*sqrt(1900)*2 + 2)*1*6.
-240*sqrt(19) - 18
Simplify (1*2*sqrt(1728))/(sqrt(4)*1*-4 + -2*sqrt(16)).
-3*sqrt(3)
Simplify (0 + -1 + sqrt(1584))**2 + 2 + 1 + 2.
-24*sqrt(11) + 1590
Simplify sqrt(33)/(sqrt(11)*1) + sqrt(3) + sqrt(3)*-1 + 4 - (-1*sqrt(30)*-6)/((1*sqrt(100))/sqrt(10)).
-5*sqrt(3) + 4
Simplify ((sqrt(99) + (sqrt(99) - sqrt(99)*-3*3))/(sqrt(900)*4))**2.
1331/1600
Simplify -1*(4*(sqrt(325) - ((sqrt(325) + 0)*-6 - sqrt(325))) + 4*(0 + sqrt(325))*4)**2.
-748800
Simplify 4 + (-3 + 4 + (sqrt(13) - (-1 + sqrt(13))) - sqrt(91)/(sqrt(35)/sqrt(5)*4))**2.
-sqrt(13) + 141/16
Simplify ((sqrt(1440) + -2*sqrt(144
|
{
"pile_set_name": "DM Mathematics"
}
|
greatest common factor of 130 and 211947814.
26
What is the greatest common divisor of 15 and 754233?
3
Calculate the highest common divisor of 10723636 and 5646.
1882
What is the greatest common divisor of 185 and 759415?
5
Calculate the highest common factor of 40 and 19455000.
40
What is the highest common divisor of 212230 and 7510?
10
What is the greatest common divisor of 15 and 263253?
3
Calculate the highest common factor of 13289 and 29779.
97
What is the highest common divisor of 4782477 and 7917?
609
Calculate the highest common divisor of 680 and 398007740.
340
What is the greatest common divisor of 222 and 61387773?
111
What is the highest common factor of 1029438 and 5454?
18
What is the highest common factor of 101 and 557009041?
101
Calculate the greatest common divisor of 15814766 and 178.
178
Calculate the highest common divisor of 1062961735 and 47620.
11905
Calculate the greatest common divisor of 724181 and 4163.
181
Calculate the highest common divisor of 844019 and 1375.
11
Calculate the greatest common factor of 3802328 and 127844.
4124
Calculate the highest common divisor of 136 and 3126808.
8
What is the greatest common divisor of 675845268 and 204?
204
What is the highest common divisor of 204 and 6060186?
6
Calculate the greatest common divisor of 2667090 and 60.
30
What is the greatest common divisor of 2745 and 17957745?
45
Calculate the greatest common factor of 929610 and 4244130.
2970
Calculate the greatest common factor of 221552637 and 545.
109
Calculate the greatest common factor of 131330 and 1713.
571
What is the highest common factor of 62 and 1260367?
31
What is the highest common divisor of 54 and 135121986?
54
What is the greatest common factor of 208582 and 235528?
998
What is the highest common factor of 1853 and 4680787?
109
Calculate the highest common factor of 90018 and 12366.
54
Calculate the greatest common factor of 344178 and 4779.
9
What is the highest common divisor of 47470 and 18451589?
4747
Calculate the greatest common factor of 660 and 6189920.
220
What is the highest common divisor of 1108944 and 38952?
72
What is the highest common divisor of 34086639 and 1474856?
9703
Calculate the highest common divisor of 202345 and 112255.
715
Calculate the greatest common divisor of 120393 and 19577754.
9261
Calculate the highest common divisor of 38646 and 19456.
38
Calculate the greatest common factor of 26669565 and 819.
117
What is the greatest common divisor of 27851793 and 206217?
6249
What is the greatest common factor of 1580 and 7845490?
790
What is the greatest common divisor of 152317010 and 710?
710
What is the highest common factor of 3404 and 212?
4
Calculate the greatest common divisor of 620550 and 65.
5
What is the greatest common factor of 2695561 and 5722420?
15059
What is the highest common divisor of 388476 and 884844?
324
What is the highest common factor of 16166698 and 134?
134
Calculate the greatest common factor of 200724 and 416928.
516
Calculate the highest common factor of 30926 and 2076648.
658
What is the highest common divisor of 15654838 and 7482?
2494
Calculate the greatest common factor of 135 and 27390.
15
What is the highest common factor of 13 and 5075369?
13
What is the highest common factor of 22280926 and 2602?
2602
What is the greatest common divisor of 2673345 and 20?
5
What is the highest common divisor of 546 and 3468140?
26
What is the highest common divisor of 4959843 and 19275?
771
What is the greatest common factor of 1928255 and 1143485?
1295
Calculate the greatest common factor of 8292308 and 445.
89
What is the greatest common divisor of 267064 and 10793?
251
Calculate the highest common divisor of 51875 and 12153275.
2075
Calculate the highest common divisor of 7124 and 87932.
52
What is the greatest common factor of 57258 and 108?
18
What is the greatest common divisor of 1283378 and 172?
86
What is the greatest common divisor of 142579255 and 442?
221
What is the highest common factor of 1035 and 143659173?
69
Calculate the greatest common divisor of 7 and 8528117.
1
What is the greatest common divisor of 31785642 and 1890?
378
What is the highest common factor of 127462625 and 100?
25
Calculate the highest common divisor of 513 and 276033159.
171
Calculate the highest common divisor of 507345 and 963615.
3405
What is the greatest common factor of 161653 and 27676?
629
Calculate the greatest common divisor of 88840 and 55.
5
What is the highest common divisor of 629904 and 51299?
1193
Calculate the greatest common factor of 28980 and 59846.
46
What is the greatest common divisor of 16792284 and 132?
12
Calculate the highest common factor of 6 and 4554006.
6
What is the highest common divisor of 5040 and 890286?
6
Calculate the highest common factor of 25968 and 1095.
3
Calculate the greatest common factor of 1 and 33808055.
1
What is the highest common divisor of 524864 and 664576?
3776
What is the highest common divisor of 1438890 and 60?
30
What is the highest common divisor of 685940 and 117720?
20
Calculate the highest common divisor of 6448 and 1750973744.
6448
Calculate the greatest common factor of 282945 and 947895.
195
Calculate the highest common factor of 128312 and 39087.
43
Calculate the highest common factor of 65944140 and 1038.
1038
What is the greatest common divisor of 2060892 and 501075?
1179
What is the highest common factor of 73 and 4189981?
73
Calculate the greatest common divisor of 462503 and 217391.
1459
What is the greatest common divisor of 2370260 and 620?
620
Calculate the highest common divisor of 156 and 267095868.
156
What is the greatest common factor of 1125544 and 2222?
202
What is the greatest common divisor of 70 and 5092472?
14
What is the highest common divisor of 650 and 27529970?
130
What is the highest common factor of 28179 and 3289131?
279
What is the greatest common factor of 1008 and 104359032?
72
What is the highest common divisor of 3119377000 and 50?
50
Calculate the greatest common divisor of 3355210 and 250.
10
What is the highest common divisor of 171386030 and 110?
10
What is the greatest common factor of 15180 and 693036?
276
Calculate the greatest common factor of 254 and 27298142.
254
What is the highest common factor of 6324758 and 16720?
418
Calculate the highest common factor of 431105 and 183465.
755
Calculate the greatest common factor of 1950 and 82629690.
390
Calculate the highest common divisor of 443897268 and 374.
34
What is the greatest common factor of 372 and 772221284?
124
Calculate the highest common divisor of 149169 and 14307.
57
What is the greatest common factor of 70945 and 4445?
35
What is the highest common factor of 3187240 and 560?
280
Calculate the greatest common divisor of 3453594 and 1668.
834
What is the highest common factor of 9507319 and 885?
59
What is the greatest common divisor of 577 and 10727?
1
Calculate the highest common factor of 124 and 2191156.
4
What is the highest common factor of 7536779 and 235?
47
What is the highest common factor of 122082 and 1374?
6
What is the highest common factor of 5460741 and 2327?
13
What is the highest common divisor of 437 and 919793?
23
Calculate the greatest common factor of 27099 and 484593351.
9033
Calculate the highest common factor of 440008 and 120.
8
Calculate the greatest common divisor of 59081 and 11703409.
5371
What is the greatest common factor of 26 and 26964288?
26
What is the highest common divisor of 229365 and 46980?
135
What is the greatest common divisor of 76729380 and 780?
780
Calculate the greatest common divisor of 19783032 and 146888.
488
What is the highest common divisor of 648 and 1439784?
72
Calculate the highest common factor of 5683540 and 103.
103
Calculate the greatest common divisor of 2068 and 29708668.
44
What is the highest common factor of 60123875 and 1925?
175
What is the highest common factor of 7659331 and 347?
347
What is the greatest common divisor of 546 and 313118?
26
Calculate the greatest common factor of 6432 and 820214.
134
What is the highest common divisor of 1221 and 2224695?
33
Calculate the highest common divisor of 1606849 and 2185.
437
Calculate the highest common factor of 44162 and 738314.
622
What is the greatest common factor of 2666706 and 1516
|
{
"pile_set_name": "DM Mathematics"
}
|
+ -4. Let h = o - -135. Does 17 divide h?
True
Suppose 69 = z + 29. Is 2 a factor of z?
True
Suppose -241 + 65 = -y - 4*i, 820 = 5*y + 5*i. Let k be ((-1)/2)/((-16)/y). Suppose -w = -k*w + 140. Is 11 a factor of w?
False
Suppose -4*x + 9 = -f - 2, 8 = 2*x + 2*f. Suppose 0 = -2*c + c + 5*b + 42, x*b = -4*c + 145. Suppose 3*m - c - 5 = 0. Is m a multiple of 7?
True
Let l = 1180 + -715. Is 31 a factor of l?
True
Let f(r) = r**2 + r - 7. Let u(s) = -s**2 - 3*s + 13. Let c(o) = 7*f(o) + 4*u(o). Is 16 a factor of c(6)?
False
Is 98 a factor of 3/(9/84)*1323/18?
True
Is 9 a factor of (-9)/(-15) - (-42548)/20?
False
Suppose 1585*l = 1602*l - 1224. Is l a multiple of 24?
True
Is 50 a factor of (6 + 160/(-25))/(1/(-3910))?
False
Suppose 1015*i + 35721 = 1036*i. Is 27 a factor of i?
True
Let k = 14 - 9. Suppose k*y - 60 = y. Suppose 4*f - 36 - 17 = -3*x, 0 = -3*f + y. Does 6 divide x?
False
Let n(q) = q**3 - q**2 - q + 75. Let z be n(0). Is 25 a factor of (z/20)/(6/80)?
True
Suppose 3*v + 2*v - 20 = 0. Suppose 3*l - 12 = 5*a, -2*a + v = 5*l - 4*l. Suppose -l*z = -z - 153. Is 17 a factor of z?
True
Let u be (-174)/(-2)*(-5)/(-15). Suppose 0*r - u = -r. Let k = r - 11. Is 5 a factor of k?
False
Suppose 3*b = -4*m + 41, b - 2*m = -3*b + 18. Does 29 divide 1/((b/2)/7) + 85?
True
Let q = -75 - -73. Does 14 divide q/(2*(-5)/220)?
False
Let o = 38 + -33. Suppose 0 = -2*g + 4, 3*c = g - o*g + 74. Is 3 a factor of c?
False
Suppose 2*o - 30 = -3*o. Let z = o + -3. Suppose 0 = -0*g - z*g + 60. Is 20 a factor of g?
True
Let n = -17 - -27. Suppose 20 = -c - n. Let y = c + 33. Is y a multiple of 3?
True
Let m(z) be the second derivative of z**3/6 + 10*z**2 + 2*z. Is m(10) a multiple of 5?
True
Let j(n) be the second derivative of n**4/12 + 4*n**3/3 + 8*n**2 + n. Let m be j(-7). Is 4 a factor of m*3/((-3)/(-2))?
False
Suppose 0 = k - 5*k + 32. Let h(t) = 3*t + 6. Does 30 divide h(k)?
True
Let f(h) = h**3 + 3*h**2 - 5*h - 3. Suppose 0 = 3*s - 5*z - 10 - 9, -2*z - 13 = -3*s. Let i be 0/(1 - s) + 3. Is f(i) a multiple of 18?
True
Let d be (-1)/((-20)/(-35) + (-10)/14). Is 17 a factor of 5/((-10)/(-8)) - (-91)/d?
True
Suppose 5*d - 632 = 4*q + 1107, 3*d - 2*q - 1045 = 0. Is 39 a factor of d?
True
Let r(y) = -5*y + 6. Suppose k = -0*k. Suppose k = 4*h + 3*i + 18, h + h = 2*i - 2. Is r(h) a multiple of 7?
True
Suppose 3*t - 963 = -0*f + f, -5*f - 307 = -t. Does 23 divide t?
True
Let u(d) = -5*d + d**2 - d - d**3 + d**2. Let i(x) = x**3 - x**2 + 5*x + 1. Let b(l) = -4*i(l) - 3*u(l). Is b(-4) a multiple of 18?
True
Let f(o) = o**3 - 2*o**2 - 3*o + 3. Let j be f(3). Suppose 3*w + m - j*m - 50 = 0, -w = 5*m - 28. Does 18 divide w?
True
Let a = -14 + 10. Let v(h) be the second derivative of -13*h**3/6 + 2*h**2 + 3*h. Does 30 divide v(a)?
False
Suppose r + 424 = 5*p + 2*r, -r - 256 = -3*p. Is 5 a factor of p?
True
Suppose 3*m - 1126 - 1685 = 0. Does 31 divide m?
False
Suppose -3*b + 1 = -2*w, -b + 2*w + 7 = 4*b. Suppose -v - 134 = -3*i, -v - 109 = -b*i - 5*v. Is i a multiple of 16?
False
Is 18 a factor of (-46)/(-11) - 4 - 16826/(-22)?
False
Let q(c) = -2*c + 1. Let n be q(2). Suppose 5*d - 17 = -3*y, 5*d + 15 = -4*y + 31. Is 6 a factor of y/((-3)/27) - n?
True
Let w = 149 + -25. Suppose -b + 5*b - 116 = f, -4*f + w = 5*b. Is b a multiple of 7?
True
Let t = -11 + 14. Suppose t*l - 122 = -20. Suppose -p - 4 = -l. Does 15 divide p?
True
Suppose 2*g = -5*r + 7888, r + 6308 = 5*r + g. Suppose r = 6*y + 2*y. Is 25 a factor of y?
False
Suppose -8*i + 4*i = -104. Suppose -c + i = 2*r, 74 = 4*c - 2*r + 10. Is 6/c - (-238)/6 a multiple of 10?
True
Suppose -613 = -2*l - 3*p - 29, 4*l - 3*p - 1186 = 0. Does 10 divide l?
False
Let n = -21 + 26. Suppose -2*v + a = -11, -n*v + 4*a + 7 = -28. Suppose v*t - 88 = -13. Is 5 a factor of t?
True
Let g(n) = -2*n**3 + 4*n**2 + 3*n + 2. Let d be g(-3). Suppose -87 = -t + 2*b, -2*b = 5*t - 4*t - d. Is 17 a factor of t?
True
Let r = -18 - -23. Let y be (r/(-3))/((-10)/30). Suppose -2*o + 72 = f, y*f + 108 = -0*o + 3*o. Is o a multiple of 6?
True
Let l be (5 + -1 + -4)/(0 - 2). Suppose 153 = 4*s + 2*m - 109, 4*m + 20 = l. Is 17 a factor of s?
True
Suppose 5*x = -3*k + 29 + 7, 8 = k + 3*x. Suppose -3*n - 167 = -3*a - k, -3*a = -4*n - 149. Is 18 a factor of a?
False
Suppose 5*t + 4*k - 51 = 214, 0 = -3*t + 2*k + 181. Is 19 a factor of t/((-4)/((-48)/9))?
True
Is 1393/2*25/((-1225)/(-28)) a multiple of 21?
False
Let u(h) = 2*h**3 - 12*h**2 - 19*h + 49. Let c(a) = -a**3 + 6*a**2 + 10*a - 25. Let n(s) = -7*c(s) - 4*u(s). Does 5 divide n(6)?
True
Let y(w) = 179*w + 22. Does 28 divide y(5)?
False
Let z(a) = 5*a + 0*a + 13 + 16*a. Let x = -24 - -28. Is 19 a factor of z(x)?
False
Suppose 16*j + 3312 = 16272. Is j a multiple of 30?
True
Suppose -2*x - 17 = -5*h, -4*h - 4*x = -5 - 3. Suppose j = -h*g + 11, 3*j - 2*j - 15 = -5*g. Suppose -3*r = g*r - 40. Is 2 a factor of r?
True
Let x be (-687)/(-3) + -1 + -2. Suppose -44 = -h - 3*i + 34, i - x = -3*h. Suppose 2*g - h = 13. Is g a multiple of 22?
True
Suppose -46*d = -43*d - 240. Let m = -69 + d. Is 2 a factor of m?
False
Let b be (876/10)/(3/10). Suppose -i = -6*i + 2*s + b, 0 = 2*i - 5*s - 100. Is i a multiple of 7?
False
Let a be (7 - 8)/(2/(-16)). Let s = a + -6. Suppose c - 117 = -2*x + s*c, x - 66 = -c. Does 21 divide x?
False
Suppose -y + 236 = -i - 104, 4*i - 360 = -y. Does 11 divide y?
False
Let s = 16 - 13. Suppose -s*j + 16 = j. Suppose 2*g - j = -3*p + 35, 4*g - 5*p - 67 = 0. Does 14 divide g?
False
Is 18 a factor of (2/(-9) - (-4185)/243)*39?
False
Let a = 86 + 121. Let k = a + -68. Is 23 a factor of k?
False
Let b = 281 - 257. Does 15 divide b?
False
Suppose 57 = 2*r + 17. Does 10 divide r?
True
Let z(u) = 9*u**2 + 8*u + 24. Does 11 divide z(-5)?
True
Let n(c) = 9*c + 10. Let f(d) = -4*d + 5 - 9 - 4*d - 7. Let w(l) = 6*f(l) + 5*n(l). Does 3 divide w(-10)?
False
Suppose 0 = -3*k + 2*r + 85, k - r + 0*r = 29. Let h = 60 + -123. Does 14 divide h/(3 + k/(-6))?
True
Let g = -11 - -8. Let v(y) = -2*y**3 + y**2 + 4*y - 1. Is 5 a factor of v(g)?
True
Suppose 12*c = 15*c. Let w be 26/6 - 2/6. Let b = c + w. Is 4 a factor of b?
True
Let y = 44 + -41. Suppose u + 45 = l + 177, u - 138 = y*l. Is u a multiple of 11?
False
Let c(o) = o**3 + o**2 - o - 4. Let b be c(0). Is 12 a factor of 44*(1 + 2/b)?
False
Suppose -4 + 6 = -o. Let k be (-6)/o + 0/(-5). Is 10 a factor of 1 + 39/k*5?
False
Let f = 25 - -47. Is f a multiple of 3?
True
Suppose -2*j - 125 = -4*j - 3*b, -4*b - 300 = -4*j. Is j a multiple of 14?
True
Let w be (13/2)/(13/4 - 3). Does 3 divide ((-1)/(-3)*w)/((-58)/(-87))?
False
Let c(z) = 7*z**2 - 9*z + 10. Suppose 11*k - 42 = 13. Is 10 a factor of c(k)?
True
Let s(n) = -69*n - 104. Does 16 divide s(-6)?
False
Let g = 2271 - 1430. Does 56 divide g?
False
Does 78 divide -2 - ((-6713)/7 + -6)?
False
Let v(k) = -18*k - 6. Let t be v(3). Does 20 divide (t/9)/((-1)/15)?
True
Let k be -5 + -3 + 4 - 3 - -2. Is -1*(10 + k - 120) a multiple of 5?
True
Suppose -56 - 584 = -10*x. Suppose 0 = 2*o - 0*d - 3*d - x, 0 = 3*o + 5*d - 115. Does 7 divide o?
True
Let l be (-24 - -2)*(-2 + 5). Is 12/l + (-739)/(-11) a multiple of 14?
False
Let a(z) = 29*z - 154. Is 6 a factor of a(8)?
True
Does 13 divide 17 + -14 + 3 + 984 + -1?
False
Suppose 0 = 3*b + 14 - 41. Suppose -60*j + 350 = -53*j. Let a = j - b. Does 14 divide a?
False
Let u(d) = -209*d - 8. Let h be u(-2). Let i = -242 + h. Does 28 divide i?
True
Suppose 3*h = -2*h - x + 5497, -3*x + 1091 = h. Is 50 a factor of h?
True
Let j be (6/6)/(1/3). Does 10 divide (21/6 - j)*118?
False
Let s(g) = -2*g**3 - 10*g**2 + 32*g - 8. Does 6 divide s(-10)?
True
Let v(z) = 4*z**3 + 67*z**2 - 9*z - 2. Is 13 a factor of v(-16)?
True
Let k(c) = 88*c + 28. Let s be k(8). Suppose 0 = 4*o + 2*x - 584, -5*o + 2*x + s = 5*x. Is o a multiple of 15?
False
Does 43 divide (-5 + 67004/(-84))/(2/(-6))?
True
Suppose -86*t = -88*t + 808. Does 4 divide t?
True
Let o = 8 + -11. Let d be 2/3 - 16/o. Suppose -2 = m, 33 = 5*a + 3*m - d. Does 4 divide a?
False
Let k be -7 - (0 - -4)/4. Is k/(2/(-1)) - -13 a multiple of 17?
True
Let i(m) = m - 9. Let f be i(8). Let b = 3 - f. Suppose 5*g + 5 = 0, -b*x - 5*g + 36 + 103 = 0. Does 18 divide x?
True
Is 143 a factor of ((-14 - 16) + 17)/((-2)/572)?
True
Let c(v)
|
{
"pile_set_name": "DM Mathematics"
}
|
(99).
-18*sqrt(11) - 4
Simplify (sqrt(13) + sqrt(26)/sqrt(2))*-1 - sqrt(156)/(2*sqrt(12)).
-5*sqrt(13)/2
Simplify sqrt(25)/(-1*sqrt(180)).
-sqrt(5)/6
Simplify (-5*(sqrt(3) + -3) - (sqrt(243) + -1))**2.
-448*sqrt(3) + 844
Simplify -4*(sqrt(52)/(sqrt(8)/sqrt(2)))**2.
-52
Simplify 5 + 1*sqrt(396) + -1.
4 + 6*sqrt(11)
Simplify (sqrt(2299) - (sqrt(2299) + 0)**2)*-5 + 1.
-55*sqrt(19) + 11496
Simplify 4*sqrt(192)/(sqrt(4) - (sqrt(100) - sqrt(4)) - sqrt(4)).
-4*sqrt(3)
Simplify (-5*-1*sqrt(26))/(sqrt(4)/(2*sqrt(2))).
10*sqrt(13)
Simplify (3*((sqrt(40) - sqrt(360)) + sqrt(40)))/(5*2*sqrt(8)).
-3*sqrt(5)/10
Simplify (sqrt(405) - (sqrt(405)*-1 + sqrt(405))**2) + -3.
-3 + 9*sqrt(5)
Simplify (-1 + sqrt(5) + -5 + sqrt(135)/sqrt(3))**2.
-48*sqrt(5) + 116
Simplify (sqrt(30) - sqrt(240)/(sqrt(24)/sqrt(3)))/(sqrt(40)/(-2*sqrt(4) - sqrt(4))).
0
Simplify (sqrt(4000) - -3*sqrt(4000))/sqrt(8).
40*sqrt(5)
Simplify -2 + sqrt(275) + sqrt(77)/(sqrt(7) + sqrt(343)).
-2 + 41*sqrt(11)/8
Simplify -1*(sqrt(1584) + 2 + -1).
-12*sqrt(11) - 1
Simplify (sqrt(133) + (sqrt(133) - (-1*sqrt(133) + sqrt(133) + sqrt(133))))/sqrt(7) + sqrt(19) + (sqrt(19)*2)**2*4.
2*sqrt(19) + 304
Simplify (1*(sqrt(931) + 2 + sqrt(931)) + 5*(sqrt(931)*1 + sqrt(931)) + sqrt(931))**2.
364*sqrt(19) + 157343
Simplify -2*(2*(sqrt(70) + (sqrt(70) - sqrt(70)*-2)) + sqrt(70))/sqrt(10).
-18*sqrt(7)
Simplify -6*sqrt(304)*-4.
96*sqrt(19)
Simplify -5*((sqrt(45) - sqrt(270)/sqrt(6)) + sqrt(45))**2.
-225
Simplify (1*(sqrt(14) - -2*sqrt(14)))/(1*sqrt(2)*-5).
-3*sqrt(7)/5
Simplify 1 + (sqrt(8)/sqrt(36))**2 + 0.
11/9
Simplify -1 + (5 + -3 + sqrt(80)*-2)**2.
-32*sqrt(5) + 323
Simplify (-3*(0 + sqrt(2000)))**2.
18000
Simplify sqrt(171)/(sqrt(9) + -1*sqrt(36)).
-sqrt(19)
Simplify (sqrt(121) - 2*-2*sqrt(121))/sqrt(11) - 5*(0 + sqrt(275)).
-20*sqrt(11)
Simplify (sqrt(117) - (sqrt(117) - -1*sqrt(117))*3)*-5.
75*sqrt(13)
Simplify -6*(-4 + (sqrt(6)/sqrt(3) + -2 - (0 + sqrt(162)))).
36 + 48*sqrt(2)
Simplify 5*(sqrt(20) - (-1 + 4 + sqrt(20))**2).
-145 - 50*sqrt(5)
Simplify -5*-2*sqrt(208).
40*sqrt(13)
Simplify (sqrt(612) - (1*(sqrt(612) - (sqrt(612) + -1)) - sqrt(612)))**2*2.
-48*sqrt(17) + 4898
Simplify sqrt(39)/sqrt(3) + -5 + (sqrt(65)*2 - sqrt(65))/sqrt(5) + 0.
-5 + 2*sqrt(13)
Simplify (-3 + sqrt(1377) + 0 - (sqrt(1377) + 1*sqrt(1377) + 2))**2.
90*sqrt(17) + 1402
Simplify (-1*sqrt(400))/(sqrt(8) + sqrt(56)/(sqrt(21)/sqrt(3))).
-5*sqrt(2)/2
Simplify (5*sqrt(112) - sqrt(112))/sqrt(4).
8*sqrt(7)
Simplify -1*sqrt(500)*2 + 0 + -4.
-20*sqrt(5) - 4
Simplify -5 + 0 + sqrt(117) + -1 + sqrt(117).
-6 + 6*sqrt(13)
Simplify -1 + (sqrt(22) - -1*sqrt(22))/sqrt(11).
-1 + 2*sqrt(2)
Simplify (sqrt(132)/sqrt(3) + 1 + sqrt(44) + (sqrt(44) - (sqrt(88)/sqrt(2) - sqrt(44))) + 1)**2.
24*sqrt(11) + 400
Simplify -2*(5 + (sqrt(11) + sqrt(1584)*1 - sqrt(11)))**2.
-3218 - 240*sqrt(11)
Simplify (-6*(sqrt(54) + sqrt(6))/sqrt(2))**2.
1728
Simplify ((sqrt(18)*3)/sqrt(9))**2 + (-2 + sqrt(10)/sqrt(5) + sqrt(2) - sqrt(2)).
sqrt(2) + 16
Simplify (4 + (sqrt(2057) - (-3*sqrt(2057) + sqrt(2057))) + sqrt(2057))**2.
352*sqrt(17) + 32928
Simplify 5*(-3*sqrt(209))/sqrt(11)*1.
-15*sqrt(19)
Simplify (sqrt(3) + sqrt(3) + -1 + 2 + -5*(2 + sqrt(3)))**2.
54*sqrt(3) + 108
Simplify -4*((sqrt(108) + sqrt(108)*-1 + sqrt(108) + sqrt(108))/sqrt(9))/(2*sqrt(24)/sqrt(4)).
-4*sqrt(2)
Simplify (sqrt(84)/(sqrt(108)*-1))**2.
7/9
Simplify sqrt(153)/(sqrt(81)*-2)*1.
-sqrt(17)/6
Simplify ((sqrt(189) - sqrt(189)*6) + sqrt(21))/sqrt(7).
-14*sqrt(3)
Simplify ((sqrt(7) - sqrt(42)/sqrt(150)) + (sqrt(7)*-1 - sqrt(7))*-3)*2.
68*sqrt(7)/5
Simplify 4 + (-4 + 1 + sqrt(17))**2.
-6*sqrt(17) + 30
Simplify -1*(3 + sqrt(13)) + (sqrt(13) + sqrt(130)/(sqrt(10) + sqrt(90) + sqrt(10)) - sqrt(13))**2.
-sqrt(13) - 62/25
Simplify ((sqrt(132)/sqrt(150) + sqrt(22))/sqrt(11))**2.
72/25
Simplify (sqrt(192) + (-1 + sqrt(192) - sqrt(192)) + -5)**2*-6.
-1368 + 576*sqrt(3)
Simplify -2*(4*(sqrt(5) + sqrt(5)*3))**2.
-2560
Simplify ((0 + sqrt(98) + sqrt(98) + 3 + sqrt(98))*-2*-3)**2.
4536*sqrt(2) + 32076
Simplify ((sqrt(228) - -1*sqrt(228))/sqrt(4))/(-1*sqrt(243))*-2.
4*sqrt(19)/9
Simplify (1*sqrt(34)*-2)/sqrt(2) + ((sqrt(17) + sqrt(85)/(-1*sqrt(5)))**2 - sqrt(17)) + -2.
-3*sqrt(17) - 2
Simplify (4*(5 + sqrt(832) + -1))**2 + -2.
1024*sqrt(13) + 13566
Simplify sqrt(26)/(4*sqrt(32)).
sqrt(13)/16
Simplify ((sqrt(13) - sqrt(117)/(sqrt(9)*1)) + (sqrt(1872)*1)**2)*-5.
-9360
Simplify -2 + (sqrt(130) + sqrt(130)*2)/sqrt(10).
-2 + 3*sqrt(13)
Simplify (sqrt(28)/sqrt(4)*1 + sqrt(343)*6)**2.
12943
Simplify ((1*sqrt(19) + 1 - sqrt(19))**2 - sqrt(209)/(sqrt(44)/sqrt(4))) + 2.
-sqrt(19) + 3
Simplify (-5*sqrt(180)/sqrt(5))/((sqrt(132) - -3*sqrt(132))/sqrt(11)).
-5*sqrt(3)/4
Simplify (sqrt(19)*-2*2)**2 + sqrt(19) - (1*sqrt(76))**2.
sqrt(19) + 228
Simplify -2*(sqrt(13) - sqrt(52))*3.
6*sqrt(13)
Simplify -5 + 0 + sqrt(7) + (-2 + sqrt(112) + sqrt(112))**2.
-31*sqrt(7) + 447
Simplify ((sqrt(128) + 0)*2 + -1)**2.
-32*sqrt(2) + 513
Simplify 2 + sqrt(108) + 1 + 2 + sqrt(108) + -1.
4 + 12*sqrt(3)
Simplify 1*(sqrt(192)*-1 + sqrt(3) + 0).
-7*sqrt(3)
Simplify (((sqrt(133)*-2 + sqrt(133))*-4)/(-2*(sqrt(7) + sqrt(28)/sqrt(4))))**2.
19
Simplify 3*(sqrt(75) + (sqrt(75)*1)**2 - (sqrt(36)/(sqrt(12)*2))**2).
15*sqrt(3) + 891/4
Simplify (sqrt(13) + -2 + -3 - sqrt(39)/(sqrt(3) + sqrt(108)))**2.
-60*sqrt(13)/7 + 1693/49
Simplify -6*(2 + sqrt(21)/sqrt(3) - (-1 + sqrt(847))).
-18 + 60*sqrt(7)
Simplify (-4*(sqrt(1088) - (0 + sqrt(1088))))**2.
0
Simplify (sqrt(56)/(-2*sqrt(7) + sqrt(7)))/(sqrt(4) + sqrt(32)/(sqrt(48)/sqrt(6))).
-sqrt(2)/2
Simplify (sqrt(200)*-1*1 - sqrt(200)) + -4.
-20*sqrt(2) - 4
Simplify (sqrt(99)*-2 + -1)**2*-5*-3.
180*sqrt(11) + 5955
Simplify ((sqrt(392)/sqrt(63))/sqrt(8))**2 + -5.
-38/9
Simplify (sqrt(252)/(-2*sqrt(12)))/(2*sqrt(567) + sqrt(7))*1.
-sqrt(3)/38
Simplify (sqrt(2) + sqrt(8))*3 + -4.
-4 + 9*sqrt(2)
Simplify 5 + sqrt(175)*1.
5 + 5*sqrt(7)
Simplify ((-1*sqrt(68)*-6)/((sqrt(8)/sqrt(2) + sqrt(4))*2))**2.
153/4
Simplify (sqrt(224)/sqrt(2))**2*-1.
-112
Simplify (sqrt(85) + ((sqrt(85)*-1 - sqrt(85)) + sqrt(85))*3)/sqrt(5)*2.
-4*sqrt(17)
Simplify (sqrt(20)*-2 + sqrt(5) + -1)*-2.
2 + 6*sqrt(5)
Simplify 2*(sqrt(1296)*-1)/(-1*sqrt(512)).
9*sqrt(2)/4
Simplify (3*(1 + sqrt(19)) - (sqrt(76) + -1))**2 + 1.
8*sqrt(19) + 36
Simplify -3*(sqrt(76) - (sqrt(76) + (2 + (sqrt(76) - (sqrt(76) + -1)))**2 - sqrt(76))).
-6*sqrt(19) + 27
Simplify 6*-3*sqrt(1573) + -4.
-198*sqrt(13) - 4
Simplify (sqrt(24) + (sqrt(24) - (sqrt(600) + sqrt(600) + -2*sqrt(600))))/(sqrt(968) + sqrt(968) + sqrt(968) + (-1*sqrt(968) - sqrt(968)))*2.
4*sqrt(3)/11
Simplify ((sqrt(304) - (sqrt(304) + 1*sqrt(304)) - sqrt(304))*-3)**2*-4.
-43776
Simplify (((sqrt(84)*-3 - sqrt(84)) + sqrt(84))*-3)/(5*-2*sqrt(12)).
-9*sqrt(7)/10
Simplify ((sqrt(5) + -1)*-2 + -5*sqrt(80) + 2)**2.
-176*sqrt(5) + 2436
Simplify (-3 + (2*sqrt(833) - sqrt(833)))**2.
-42*sqrt(17) + 842
Simplify sqrt(63)/(-6*sqrt(36)).
-sqrt(7)/12
Simplify sqrt(26)/(-3*sqrt(32))*5.
-5*sqrt(13)/12
Simplify sqrt(55)/(2*sqrt(180)) + (-5*sqrt(176)*2)**2 + sqrt(176).
49*sqrt(11)/12 + 17600
Simplify (4*sqrt(380)/sqrt(10))/sqrt(2).
4*sqrt(19)
Simplify 4*(-2*sqrt(204))/sqrt(12).
-8*sqrt(17)
Simplify (sqrt(22)*-1)/sqrt(11) - (sqrt(72))**2.
-72 - sqrt(2)
Simplify (4 + sqrt(2057) + -1 + -5)**2.
-44*sqrt(17) + 2061
Simplify ((2 + (sqrt(19) - (sqrt(19) + sqrt(19) + -1)))*3 - ((sqrt(19) - -1*sqrt(19)) + -4 - (1 + sqrt(931))))**2.
56*sqrt(19) + 272
Simplify (-5 + -4 + -2 + sqrt(171) + sqrt(171))**2.
-132*sqrt(19) + 805
Simplify (sqrt(55)/(sqrt(405)*1 + sqrt(405) - sqrt(5)))**2.
11/289
Simplify 5 + sqrt(50) + -5.
5*sqrt(2)
Simplify (4*(sqrt(847) + 1) + sqrt(847) + sqrt(847) - (sqrt(847) + 0 + sqrt(847))*-6)**2.
1584*sqrt(7) + 274444
Simplify (4 + 0 + sqrt(98))**2 + 1.
56*sqrt(2) + 115
Simplify -4*(-2 + sqrt(153))*4.
-48*sqrt(17) + 32
Simplify -2*-6*sqrt(245)*-2*-5.
840*sqrt(5)
Simplify (sqrt(76)/((-2*sqrt(24) - sqrt(24))/sqrt(6)) - 2*(1 + 0 + sqrt(19)))**2.
28*sqrt(19)/3 + 967/9
Simplify (-1*(sqrt(28) + -2 + (sqrt(84) + (sqrt(84) - sqrt(84)*-2))/sqrt(12)))**2*-5.
-1280 + 120*sqrt(7)
Simplify ((0 + sqrt(1700) + -3 - -6*-2*sqrt(1700)) + 2)**2.
220*sqrt(17) + 205701
Simplify 1*((sqrt(272) + 0)**2 + 4)*-4.
-1104
Simplify (6*sqrt(110)/(sqrt(250
|
{
"pile_set_name": "DM Mathematics"
}
|
et s(t) = -41*t - 1. Let u(g) be the first derivative of g**3 - 93. Calculate u(s(l)).
5043*l**2 + 246*l + 3
Let v(r) = 3*r. Let o be ((-8)/(-16))/((-258)/(-84) + -3). Let i(l) = -l + 6. Let x be i(4). Let n(z) = -z**2 + 9*z**x - o*z**2 + 8*z**2. What is v(n(u))?
27*u**2
Let o(s) = s + 177 - 177. Let f(z) = z**2 + z. Let a(c) = -2*c**2 - 3*c. Suppose 12 = -5*p + 2*m - 0, -4*p = m + 7. Let i(h) = p*a(h) - 6*f(h). What is o(i(g))?
-2*g**2
Let u(z) = 10*z**2. Let s(a) = 12*a**2 - 3*a. Let h(k) = -12*k**2 + 2*k. Let j(x) = -3*h(x) - 2*s(x). Determine j(u(b)).
1200*b**4
Let f(s) = -122*s**2 - 10. Let q(b) = -12*b. Calculate q(f(l)).
1464*l**2 + 120
Let v(p) = 109*p - 460. Let h(k) = k**2. Give h(v(c)).
11881*c**2 - 100280*c + 211600
Let i(o) = -1397*o. Let s(x) = -7*x**2 + 7. Give i(s(d)).
9779*d**2 - 9779
Let f(z) = 26*z. Let i(s) = 128*s**2. Give f(i(o)).
3328*o**2
Let r(o) = -13*o. Let w(l) = -9325*l**2 - l. Give w(r(p)).
-1575925*p**2 + 13*p
Let r(t) = 6*t**2. Let f(w) = -153885*w. What is r(f(z))?
142083559350*z**2
Let k(x) = 21*x**2. Let n be 8/(-16) - 3/(-6)*17. Let a(h) = 6*h - 8. Let g(i) = -4*i + 5. Let v(r) = n*g(r) + 5*a(r). Calculate v(k(d)).
-42*d**2
Let h(m) = 2*m. Suppose 2*p - 4 = 2*w, -2*p - 5*w = -6*w - 4. Let o(g) be the second derivative of g + 0*g**3 - 3/4*g**4 + 0*g**p + 0. Give h(o(f)).
-18*f**2
Let q(g) = 41*g - 3410. Let u(s) = -20*s. Calculate q(u(i)).
-820*i - 3410
Let i(m) = m**2. Let g(z) = 6*z**2 - 37298*z. Give g(i(d)).
6*d**4 - 37298*d**2
Let l(g) = -3*g**2 + 7. Let n(z) = 2*z**2 - 5. Let j(u) = 5*l(u) + 7*n(u). Let r(q) = 19*q**2 - 17*q**2 - q**2. What is j(r(p))?
-p**4
Let h(a) = 2*a. Let f(y) = -26*y - 2. Let j(r) = 1. Let s(i) = -f(i) - 2*j(i). Give s(h(v)).
52*v
Let m(y) = 29*y**2. Let o(h) = 1752 - 1752 + 10*h**2. What is o(m(s))?
8410*s**4
Let s(i) = -18*i**2 - 19*i + 1. Let j be s(-1). Let g(l) be the first derivative of 0*l + 2/3*l**3 + 0*l**j - 6. Let r(w) = w. Determine r(g(b)).
2*b**2
Let u(o) = -8*o**2 - 2*o. Let k(i) = 6473*i. Calculate k(u(j)).
-51784*j**2 - 12946*j
Let p(d) = -5*d. Let r(f) = 10250*f**2 - 205*f + 205. Let z(i) = -151*i**2 + 3*i - 3. Let w(n) = -3*r(n) - 205*z(n). Give w(p(j)).
5125*j**2
Let a(o) = -3*o**2 + 2*o + 2. Let j(l) = 14*l**2 - 11*l - 11. Suppose 2*h + 2 = 3*h. Let m(v) = h*j(v) + 11*a(v). Let t(n) = 7*n. Give m(t(r)).
-245*r**2
Let d(c) = 4*c**2. Let p(i) = -i**3 - 16*i**2 + 18*i + 23. Let f be p(-17). Let q(j) = 8*j**2 - f*j**2 - 5*j**2. Give q(d(b)).
-48*b**4
Let d(u) = 3 - 2 - 8*u**2 - 1 + 9*u**2. Let m(a) = 11*a. Determine m(d(x)).
11*x**2
Let y(q) = 114*q. Let m(i) = -3*i + 2. Let z(p) = 14*p - 8. Let h(u) = 4*m(u) + z(u). Determine h(y(k)).
228*k
Let c(q) = -30*q**2 - 2*q. Let m(r) = 4*r + 257 - 2*r - 257. Determine m(c(t)).
-60*t**2 - 4*t
Let o(k) = 4*k**2 - 703*k + 703*k - 35*k**2. Let i(t) = 3*t**2. Calculate i(o(a)).
2883*a**4
Let l(c) = -11*c. Let b(z) = 3573*z - 2. Calculate b(l(y)).
-39303*y - 2
Let y(k) = 5*k - 3*k + 0*k. Let w(j) = j - 1. Let f(s) = -12*s + 20. Let a(r) = 2*f(r) + 40*w(r). What is y(a(q))?
32*q
Let y(x) be the third derivative of -x**4/8 + 908*x**2. Let s(r) = -1. Let v(i) = -5*i + 5. Let w(o) = 10*s(o) + 2*v(o). What is y(w(t))?
30*t
Let q(o) = -42*o**2 - 27*o + 27. Let a(f) = -6*f**2 - 4*f + 4. Let u(s) = -27*a(s) + 4*q(s). Let b(p) = 2*p - 13. Calculate b(u(v)).
-12*v**2 - 13
Let w(a) = -351*a - 54. Let m(k) = 32*k + 5. Let p = -88 - -34. Let z(s) = p*m(s) - 5*w(s). Let t(n) = -n**2. Determine z(t(g)).
-27*g**2
Let v(p) = -3*p**2. Let d(y) = -9*y. Let l(o) = 198*o. Let m = -17 + 15. Let b(z) = m*l(z) - 45*d(z). Determine b(v(u)).
-27*u**2
Let h(b) = 46*b**2. Let a(p) = 252*p**2 + 255*p**2 - 500*p**2. What is h(a(s))?
2254*s**4
Let u(a) = -5*a. Let v = -7 + 10. Let m(s) = -v*s - s + 2*s + s. Give m(u(o)).
5*o
Let h(a) be the first derivative of -2*a**3/3 + 45. Let z(j) be the first derivative of j**3 - 20. Determine z(h(w)).
12*w**4
Let q(s) be the third derivative of s**5/2 - s**3/3 - 377*s**2. Let i(x) = -4*x**2. Give i(q(h)).
-3600*h**4 + 480*h**2 - 16
Let i be (2 + 1)*2/3. Let m(t) = 3*t - t**i + t - 4*t. Let o(h) = -18*h**2. What is m(o(u))?
-324*u**4
Let i(h) = 2*h**2. Let z(f) = -505*f**2 + 35*f - 35. Let m(l) = -42*l**2 + 3*l - 3. Let y(v) = 35*m(v) - 3*z(v). Give y(i(r)).
180*r**4
Let k(t) = 299*t. Let w(s) = -8*s**2 - 4. Determine w(k(h)).
-715208*h**2 - 4
Let b be (-220)/(-2) - -2 - 3. Let p(f) = 2*f**2 - 109*f + b*f. Let c(l) be the third derivative of -11*l**5/60 - 2*l**2. What is c(p(z))?
-44*z**4
Let k(h) = 2*h. Let z(g) = -7*g - 87. Let o(i) = -6*i - 87. Let d(w) = 5*o(w) - 4*z(w). Determine d(k(a)).
-4*a - 87
Let j(u) be the third derivative of u**4/24 - 4*u**2 - 41*u. Suppose n = 4*l - 12, -4*n - 3 + 6 = l. Let d(g) = 3*g + 3*g - l*g. What is j(d(h))?
3*h
Let n(a) = 6*a. Let i(d) be the second derivative of d**4/6 + 12*d + 1. Calculate i(n(s)).
72*s**2
Let s(t) = 3*t. Let u(m) = -23*m. Let k(d) = 21*s(d) + 3*u(d). Let a(n) = -2*n + 24. What is k(a(i))?
12*i - 144
Let z(n) = 9*n - 23*n + 75*n - 2*n + 13*n. Let t(v) = 4*v. Give t(z(s)).
288*s
Let c(r) = 2*r + 31. Let z(q) = -1188*q**2 - 1. Calculate c(z(p)).
-2376*p**2 + 29
Let u(g) = 37*g. Let h(z) = -39*z + 2. What is u(h(v))?
-1443*v + 74
Suppose -3*v + 2*v - 182 = -c, -4*c - 2*v + 758 = 0. Let t(k) = 192*k - 374*k + c*k. Let s(n) = 3*n. What is t(s(o))?
15*o
Let z(v) = 549877*v**2. Let f(t) = -6*t**2. Give z(f(y)).
19795572*y**4
Let w(x) = 91*x + 104*x - 204*x. Suppose -5*k + 11 = -3*b, 3*b - 29 = -5*k - 0. Let n(m) = -4 + 2*m + k. Give w(n(s)).
-18*s
Let d(f) be the second derivative of f**4/6 + 103*f**3/3 - 44*f. Let w(p) = -2*p**2. Calculate d(w(z)).
8*z**4 - 412*z**2
Let l(d) = -64*d. Let p(i) = 12883*i**2. What is l(p(z))?
-824512*z**2
Let b(y) = -15*y**2. Let n(z) = z - 8. Let t be n(-7). Let j be t - -14 - -3*1. Let r(v) = 12*v**2 - 20*v**j + 7*v**2. Give r(b(m)).
-225*m**4
Let w(u) = -2*u. Let j(i) = i**2 + 60*i + 191. Determine w(j(m)).
-2*m**2 - 120*m - 382
Let u(o) = -2*o**2. Let h(v) = -98*v + 107. Determine u(h(a)).
-19208*a**2 + 41944*a - 22898
Let u(r) = 15*r**2. Let v(w) = -3*w + 4*w - 1 - 7*w + 4*w. Let i(p) = 1. Let j(o) = i(o) + v(o). Determine u(j(d)).
60*d**2
Let x(j) = 19149*j**2. Let a(d) = -15*d. What is a(x(u))?
-287235*u**2
Let h(k) be the second derivative of -k**7/2520 + k**4 - 13*k. Let w(f) be the third derivative of h(f). Let b(s) = -2*s. What is w(b(z))?
-4*z**2
Let j(p) be the third derivative of p**4/12 - 65*p**2. Let z(s) = 12*s**3 - 1. Let k be z(1). Let i(c) = -2 - k*c + 1 + 1. Determine j(i(h)).
-22*h
Let t(l) = 156*l**2 - l. Let o(i) = -7*i + 3. Calculate o(t(u)).
-1092*u**2 + 7*u + 3
Suppose -6*r + 2*r - 2*i + 76 = 0, -3*i = -4*r + 56. Let z(w) = 44 - 28 - w**2 - r. Let q(c) = c**2. What is z(q(b))?
-b**4 - 1
Let p(d) = -5*d**2. Let l(w) = -3392*w. Determine p(l(k)).
-57528320*k**2
Let d(r) = 92*r. Let m(y) = -32*y - 32*y + 68*y. Determine d(m(v)).
368*v
Let v(q) = -q**2 - q**2 + q**2. Let a(c) be the first derivative of c**4/3 - 3*c**2 + 9. Let r(l) be the second derivative of a(l). What is v(r(w))?
-64*w**2
Let y(i) = -425*i. Let z(x) be the first derivative of x**2/2 - 4. Give y(z(u)).
-425*u
Let w(b) be the third derivative of -17*b**4/24 - 26*b**2. Let c(h) = -60*h. Let a(v) = 5*c(v) - 18*w(v). Let d(t) = -2*t**2 + 3*t**2 + t**2. What is d(a(k))?
72*k**2
Let y(p) = 17*p**3 - 13*p - 3. Let r be y(6). Let b(f) = 3591*f - r*f + 9*f**2. Let u(x) be the first derivative of -x**3/3 + 1. Determine b(u(v)).
9*v**4
Let u be 10/(-15) + (-17)/(-3). Let x(w) = 5*w + u*w - 7*w - 2*w. Let n(p) = -p + 3. Let i(d) = d - 5. Let t(v) = 3*i(v) + 5*n(v). What is x(t(z))?
-2*z
Let h(t) = 241851*t + 1. Let v(a) = 2*a. Calculate v(h(g)).
483702*g + 2
Let j(n) = 10*n + 389. Let i(z) = -10*z. What is j(i(b))?
-100*b + 389
Let n(t) = -6*t. Let b(y) = 662*y**2 + 8. Calculate b(n(w)).
23832*w**2 + 8
Let u(v) = -15*v**2 + 2*v. Suppose 0*y + 3*y - 3 = 0, -y - 20 = -3*m. Let t(i) = -m*i - 3*i + 16*i - 5*i. Give u(t(n)).
-15*n**2 + 2*n
Let q(p) = -40*p**2 + 102*p**2 - 58*p**2. Let w(r) = -13*r. What is q(w(b))?
676*b**2
Let b(v) = 2*v**2. Let u(i) = -91*i - 90. Give b(u(t)).
16562*t**2 + 32760*t + 16200
Let p(z) = 11*z. Let q(f) be the first derivative
|
{
"pile_set_name": "DM Mathematics"
}
|
17
Solve -2*s = 8, 55*v + 3*s + 12 = 52*v for v.
0
Solve -5*n = 20, -2*n - 335 = 2*p - 337 for p.
5
Solve 36 = -3*c + 3*h, -28 = 141*c - 144*c - 5*h for c.
-4
Solve -a + 5*f - 6 = -16, 4*f + 8 = -a for a.
0
Solve -l - 12 = 6*l - 4*l, 9*l + 45 = n for n.
9
Solve -4*a + 2194 = -3*l + 2163, -4*a + 6 = 2*l for a.
4
Solve 2035*q - 5*h - 5 = 2038*q, -5*q - 2*h = 21 for q.
-5
Solve 4*o - 2*b = -14, -o + b - 7 + 2 = 0 for o.
-2
Solve -3*c = -p + 9, 25480*p - 25482*p = 7*c + 47 for c.
-5
Solve 75*f + 12 = 80*f - 8*n, -5 = -2*f + 3*n for f.
4
Solve -5*y - 238 + 288 = 5*r, -3*y + 50 = 7*r for r.
5
Solve 1206 = 4*x - 2*c + 1218, -2*x + 4*c = 24 for x.
0
Solve -4*n = -6*n + 5*z - 28, n - 3*z + 16 = 0 for n.
-4
Solve 0 = -o + 3*d - 1, 2*o + 37*d - 33*d = -2*o - 4 for o.
-1
Solve 3 = 4*m - 3*s, 0*s - 25 = 5*m + 2*s for m.
-3
Solve 0 = -3*p + 2*b - 14, -35*p - 4*b = -37*p - 12 for p.
-4
Solve 135*u = -5*h + 136*u - 19, 2*u - 2 = h for h.
-4
Solve -2*n = -4*y + 46, -5*y + n + 12118 = 12083 for y.
4
Solve 0 = -3*n - 3*z + 30, -178*n = -180*n - 4*z + 26 for n.
7
Solve 3*c = 8*f - 13*f + 7, -2*c + 30 = -22*c + 5*f for c.
-1
Solve 6 = 2*y + 2*c, 818*y - 6 = 833*y - 2*c for y.
0
Solve -3579*g + w - 49 = -3583*g, 0 = 3*w - 3 for g.
12
Solve 18 = -l - l - 2*k, 3*k = 2*l - 22 for l.
-1
Solve -3*y = 21, -3*o - 18 = -6*o + 5*y + 11 for o.
-2
Solve 33 = 14*b - 11*b + 2*s, -s + 62 = 5*b for b.
13
Solve 88 = 2*q + 92, 5*q + 30 = 5*a for a.
4
Solve 0 = -3*d - 2*k + 9, 3*k + 42 - 46 = 5*d for d.
1
Solve -2*i + 7*s + 20 = 0, -i - 4*s - 12 = -7 for i.
3
Solve 39*o = -5*f + 42*o + 3, o + 1 = 0 for f.
0
Solve 5*q + 5*a + 35 = 0, -365 = 4*q + 3*a - 340 for q.
-4
Solve 5*w - 28713*a + 28712*a = 21, -3*w = -3*a - 3 for w.
5
Solve 5*j - 4*r = -1228 + 1233, 0 = 5*j - 3*r for j.
-3
Solve -3*l - y = 87 - 88, -y = l - 1 for l.
0
Solve -4*s + 3*v + 232 = 251, 6*s - 3*v = -9 for s.
5
Solve 250*w = 253*w + 7*z - 3*z - 2, -6 = 2*w - z for w.
-2
Solve 3*w - 2*f = 50, 5*f + 433 - 413 = 0 for w.
14
Solve -j + 33 = -4*n, -12 = 3*n + 9 for j.
5
Solve 5*r - 1 = w, -9525*r = -2*w - 9524*r - 20 for w.
-11
Solve -3*m + 4756 = 5*t + 4768, m + 2*t + 5 = 0 for m.
1
Solve z + 49 = -2*b + 11*b, -8*b + 9*b - 4*z - 21 = 0 for b.
5
Solve 3*s + 16 = -b + 27, -13 = -5*b - s for b.
2
Solve t = 2*v + 2, 0 = 998*t - 994*t - 3*v + 7 for t.
-4
Solve z + 17 = -5*i, 46 = 3*z - 8*i + 28 for z.
-2
Solve 3*s - 10564 + 10575 = 2*o, -2*s - 54 = -13*o for o.
4
Solve 5*t + o + 96 = 113, -4*t = -5*o - 31 for t.
4
Solve 13 = -0*d + 4*d + 7*r + 64, 5*d + 0*d - 4*r = 0 for d.
-4
Solve -2*c = -c - 4*z + 25, 5710 = 5*c - z + 5702 for c.
3
Solve -4*a + 8*s = 9*s + 19, 0 = -3*a + 6*s + 6 for a.
-4
Solve -2*d = 4*z - 24, -13*z + 0*d = -9*z - 4*d for z.
4
Solve -67*a + 37 = -4*l - 64*a, 0 = -3*l + 3*a - 27 for l.
-10
Solve 45*l - 22*k - 18 = 41*l, 4*l + 3 = k for l.
-1
Solve 28 = -2*g + 2*h, -4*g - 297*h = -300*h + 45 for g.
-3
Solve -o + 1359*r = 1363*r + 31, 4*r + 1 = o for o.
-15
Solve 324*q - 326*q = l + 1, 4*q - 13 = l for q.
2
Solve -153*z + 30 = -156*z - 2*u, 0 = 4*z + 71*u + 860 for z.
-2
Solve 28 = 4*r + 2*j, 29*r - j + 11 = 34*r for r.
-1
Solve -203*o + 206*o - 2*m = -5, 0 = 2*o - 5*m + 29 for o.
3
Solve 0 = 2*j - 4, 4641*j = -m + 4645*j - 8 for m.
0
Solve -5*m + 14 + 33 = -3*z, 80*z + 162*z = -4*m - 2162 for z.
-9
Solve -2*t - 4*h - 4 = 0, -4*t = 2176*h - 2171*h + 2 for t.
2
Solve 2*s - 2*p + 15 - 5 = 0, 0 = -3*s + 2*p - 11 for s.
-1
Solve -3*x + 1 = -5*r + 17, -20 = -2*r + 8*x for r.
2
Solve 1801*x - 1806*x + 35 = 3*n, -5*x + 40 = 4*n for x.
4
Solve 0 = 4*h - 3*d - 1, -2*d = h + 295 - 287 for h.
-2
Solve 165 = 15*d, w - 32 = 4*w - 5*d - 1 + 36 for w.
-4
Solve -3*c - 2*v - 1 = 0, -30*c + 12*c = -16*c + 214*v + 426 for c.
1
Solve 5*i = 465*o - 463*o - 5, 2*o = 2*i + 14 for o.
10
Solve 4*n + 2*m = 50, 2477*m - 2481*m = 4*n - 56 for n.
11
Solve m + 5*m - 11*m - 66 = -2*g, 2*g - 6 = 0 for m.
-12
Solve 3*m - 49 = -4*a - 43, 2*a + 4 = -5*m for a.
3
Solve 5*t - 30*s = -27*s + 25, 8 = -t - 2*s for t.
2
Solve -35*m + 5*z + 20 = -30*m, 4*z - 16 = -4*m for m.
4
Solve -2*y = 2*w - 6, w = 19795*y - 19798*y + 13 for w.
-2
Solve -647*s + 643*s + 5*p = 55, 9*s = -p - 38 for s.
-5
Solve -4*y - 33*j = -37*j - 24, -6*j = 18 for y.
3
Solve -5*l - 3*z = 8, 0 = 5*l - 21*z + 4*z - 41*z - 358 for l.
2
Solve 0 = 2*n, 11647*o + 5*n - 25 = 11652*o for o.
-5
Solve 4*q - 15*p + 57 = 8, 77*p + 10 = -q + 80*p for q.
-1
Solve 2*s + 2 = 0, -17 = 82*f - 80*f + 5*s for f.
-6
Solve 3*w = 4*p + 3, -46*w - 59 = -50*w - 13*p for w.
5
Solve -61*g + 3 = -62*g - 3*k, 2*g - 3*k = -6 for g.
-3
Solve -17*h = -16*h - 1, -2*h = 4*j + 22 for j.
-6
Solve 0 = -5*t + 2*l + 3, t - 91*l - 6 = -96*l for t.
1
Solve -4*f = 5*n + 26, -776*n + 779*n = 4*f - 22 for f.
1
Solve 0 = -4*d - 24, 0 = w - 2*d - 47 + 37 for w.
-2
Solve 0 = 5*j - 4*a - 16, 4*a - 122 = 2*j - 126 for j.
4
Solve -4*n = -2*s + 14, -s + 3*s = -4*n - 26 for s.
-3
Solve -6*z = -5*u - 15, 4*u - 5 - 27 = -4*z for u.
3
Solve -8*c + 1901*z - 1899*z + 40 = 0, 2*c + 4*z - 28 = 0 for c.
6
Solve 3*i - 11 = -36*z + 34*z, -3*z = 6 for i.
5
Solve 5*m - 52 = -4*n, 1133 - 1197 = 2*n - 5*m for n.
-2
Solve 3*f + 2*z - 21 = 0, 4*f + 16*z - 17 = 17*z for f.
5
Solve 0 = 4*b + 28, -124*i + 125*i - 4*b = 33 for i.
5
Solve 13 = -5*h - 2*o, 4*h - 348*o = -345*o - 38 for h.
-5
Solve -5*t = -2*a + 331 - 342, -t - 3*a = -9 for t.
3
Solve 4*f - 2*g + 72 = 86, -g = 5*f - 7 for f.
2
Solve 3*n - 11 = -h, 3*n - 754*h + 759*h = -5 for n.
5
Solve 0 = s - 3*c - 15462 + 15446, 3*c + 5 = -10*s for s.
1
Solve -2*h = -5*u - 17, 122385*h + 5*u = 122380*h - 10 for h.
1
Solve -m = -5*h + 119 - 99, 0 = -4*h + 3*m + 16 for h.
4
Solve 72*x - 5*s = 67*x - 80, -2*x = s - 10 for x.
-2
Solve 0 = 4*x + 15*g + 40, -5*x - 6*g = -5*g - 21 for x.
5
Solve 10*h = 7*h + 3*j - 24, -4*h = -6*j + 38 for h.
-5
Solve -5*k - 24*r - 24 = -20*r, 5*k = 3*r - 17 for k.
-4
Solve -k = -4*f + 12, 4*f - 5*k = 9 + 3 for f.
3
Solve 0 = 3*l + 95*f - 94*f + 4, 0 = -l + 5*f - 28 for l.
-3
Solve 5*l + 9753 - 9764 = -p, 0 = -p + 3*l - 5 for p.
1
Solve 4*x + 14 = -3*c, c + 400 = 5*x + 408 for c.
-2
Solve -50 = -6*k + 5*r, -4*k - 1135*r = -1140*r - 40 for k.
5
Solve -4*o - 4*q - 48 = -84, 0 = -5*o + 3*q + 69 for o.
12
Solve -5*z + 61 = 3*r, -4*z - 21 = 2*r - 65 for r.
12
Solve i = -0*i + 3*p - 10, i - 2*p - 1586 = -1593 for i.
-1
Solve 2*b + 143 = -a + 137, -4*b = 4 for a.
-4
Solve 0 = 2*i - s - 65 + 68, 9 = -i - 2*s for i.
-3
Solve 4*j + 721*i - 724*i = -20, 104 = 13*i for j.
1
Solve 4*v - 5*v = -4*n + 3*v, 2*n + 49 = -16*v - 23 for n.
-4
Solve j = 4*v + 1, -3*v - 4*j + 6*j = 7 for v.
1
Solve -5*y = 60*s - 56*s + 74, -2*y = 3*s + 24 for y.
-18
Solve u - 26 = 846*t - 851*t, 2*t - 11 = -u for u.
1
Solve 2*k - 1081*d - 28 = -1083*d, -2*d = 5*k - 30 - 31 for k.
11
Solve -48*v + 2 = -47*v - 4*i, 15*v - 3*i - 30 = 0 for v.
2
Solve 0 = -2*q - c - 11, 2*c = -2*q - 14 - 2 for q.
-3
Solve -3*c + 2*c = 0, w - 2*c - 5 = -c for w.
5
Solve b + 5*x = 30, 4*b - 126*x = -122*x - 24 for b.
0
Solve -3*g = -3*m - 15, 0 = 35*m - 31*m - g + 11 for m.
-2
Solve -13 = -5*x + 4*g, -128*g = -5*x - 130*g + 31 for x.
5
Solve 0 = -4*p + 5*h + 7, -3*p - 3*h + 99686 - 99701 = 0 for p.
-2
Solve 203*f - 207*f - 5*j + 13 = 0, -4*f - 7 = j for f.
-3
Solve -m - 53 = 3*n, -338 = -6*n + 4*m - 450 for n.
-18
Solve 168*w + r = 155*w + 20, w + r - 8 = 0 for w.
1
Solve 0 = 2*k + 2*f + 4, 5*k + 2*f + 5 = -17 for k.
-6
Solve 3*d + 19*t + 61 = 0, -2*t - 16 = -7*t - 21 for d.
-14
Solve 14*q - 35 = 9*q, 3*x + 6*q = 4*q + 23 for x.
3
Solve -3*a - 3*q = 12, 101*a - 100*a = 3*q + 12 for a.
0
Solve 5*x + 180 = -3*r + 171, -4*x - 18 = -3*r for r.
2
Solve 5*j + 8 = 2*a, 9*j - 4*a + 16 = 5*j for j.
0
Solve 3*j = 3*n, -1195*n + 1196*n = 7*j + 18 for n.
-3
Solve 2*b - 664 = -3*y - 614, -125 = 3*y - 5*b for y.
0
Solve 0 = -f - 4*w + 11, -3*f - 3*w - 13 = -10 for f.
-5
Solve 9*y = -5*k - 43, -3*y + 2*k - 235 + 128 = -111 for y.
-2
Solve 0 = -2*i + 2*d - 12, 2*i - 58*d = -62*d + 54 for i.
5
Solve -4*f + 5852 - 5818 = y, 5*f = 3*y + 34 for y.
2
Solve 5*t = 2*a + 16, 22 = 841*a - 840*a + 5*t for a.
2
Solve 156 = -5*i - 16*x, -6*i - 3*x - 17 = -2*i for i.
4
Solve -61*k + 64*k = 4*g - 4, -5*k - 22 = g for k.
-4
Solve -3*g - 2826 = u - 2838, 0 =
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{
"pile_set_name": "DM Mathematics"
}
|
15
Suppose 26 = -5*w + 236. Let o = -4 + 4. Suppose o*h + 2*h = w. Calculate the remainder when h is divided by 12.
9
Let m be 72/7 - (-4)/(-14). Suppose j = 30 + m. What is the remainder when j is divided by (0 - 14/8)*-8?
12
Suppose -7*j - 4*m = -3*j - 260, 0 = -5*j - 2*m + 325. Calculate the remainder when j is divided by (136/10)/(-7 + (-37)/(-5)).
31
Calculate the remainder when 23 is divided by (28/12)/(1/6).
9
Let m = -7 - -20. Calculate the remainder when m is divided by 8.
5
Let a = 113 - 103. What is the remainder when 46 is divided by a?
6
Suppose -16*m + 20*m - 96 = 0. Calculate the remainder when 143 is divided by m.
23
Suppose 3*d = -2*d - 250. Let y = -35 - d. Let n = y + -11. Calculate the remainder when 10 is divided by n.
2
Let u = -7 + 11. Suppose -g + 0*g = 0. Suppose g = -3*j + 5*j - 10. What is the remainder when j is divided by u?
1
Suppose -n + 0*b = b - 4, n = -3*b - 6. Let z = n - 6. What is the remainder when 4 is divided by z?
1
Let u(m) = m + 17. Let r be u(-13). What is the remainder when (r/6)/(2/87) is divided by 10?
9
Let x be (-1)/5 + 186/30. Suppose -648 = -x*q + 78. Calculate the remainder when q is divided by 31.
28
Suppose 6 = -5*q + 3*d + 154, 4*q - 2*d = 118. Suppose 2*w = -19 - q. Let x = w - -50. What is the remainder when x is divided by 9?
8
Suppose 3*q + 4*n - 154 = 0, -q = 4*q + n - 285. Suppose -4 = s - 24. What is the remainder when q is divided by s?
18
Suppose -z = 2*t + 4, 5*z - z - 4*t - 32 = 0. Suppose 3*p - 45 = -3*w + 8*p, -3*w = z*p - 72. What is the remainder when w is divided by 7?
6
Suppose -4*g - 16 = -6*g. Suppose -k = -3*k + g. Suppose n - 4 = 0, 0 = -l - 3*n + 4*n + k. Calculate the remainder when 14 is divided by l.
6
Let i = 137 - -65. What is the remainder when 71 is divided by 1/(-4 - i/(-50))?
21
Let o be 657/(-15) - 1/5. Let z = -24 - o. What is the remainder when 38 is divided by z?
18
Let z = -11 + 6. Let b = z + 7. Suppose -3*y = b*y - 85. Calculate the remainder when y is divided by 9.
8
Let k be 3 - ((-2)/(-1) - 1). Let m(c) = c**2 - k*c - 2 - 9*c + 3*c + 5. Calculate the remainder when m(10) is divided by 6.
5
What is the remainder when 3 + (-26)/8 - (-1885)/20 is divided by 16?
14
Let h be (0 - -1)*2 - 1. Suppose -h = -s - 2. Let j = 2 + s. Calculate the remainder when 2 is divided by j.
0
Suppose -5*g + 2*g + 24 = 0. Calculate the remainder when 21 is divided by g.
5
Suppose 4*r = 6 - 2. Let g be 2 + (r - (2 + -2)). Suppose -4*t + 30 = 2*f, g*t + 3*f = -2*t + 38. Calculate the remainder when t is divided by 4.
3
What is the remainder when 41 is divided by (-21)/((-2)/(-5) - (-76)/(-40))?
13
Let a be (-6)/9 - 28/(-6). Suppose a*q - 7*r + 2*r - 100 = 0, -3*q + 80 = -5*r. What is the remainder when 77 is divided by q?
17
Let x = -42 + 80. What is the remainder when x is divided by (-4*4 + 3)/(-1)?
12
Suppose -5*p = 8 - 28. Suppose -m + 6 = p. Let u = m - -13. What is the remainder when 43 is divided by u?
13
Suppose 5*d - 100 = -4*b, -32 = -2*b - 0*d + 2*d. What is the remainder when 56 is divided by b?
16
Let m be 0 + 1 - (-1 + -3). Let t = m + 1. Suppose 4*j + 12 = 0, 3*w + 2*j - 4*j - 57 = 0. Calculate the remainder when w is divided by t.
5
Let n = 8 - -30. What is the remainder when 74 is divided by n?
36
Let l = -48 - -99. What is the remainder when l is divided by 11?
7
Let c(o) = o + 12. Let t be c(-8). Suppose 3*p + 10 = t*p. Calculate the remainder when 19 is divided by p.
9
Suppose -c + 0*c = 2*t - 25, -5*c - t = -134. Let r = 58 - c. Suppose 2*m = 4*w + m - 43, 0 = 2*m - 2. What is the remainder when r is divided by w?
9
Let w = -67 + 79. Calculate the remainder when 59 is divided by w.
11
Let i = 558 + -544. Let p(k) be the first derivative of -7*k**2/2 + 5*k + 1. What is the remainder when p(-5) is divided by i?
12
Suppose -131 = -9*i + 4*i - 4*r, -2*i - r = -50. Let n = i - 16. Suppose -3*w + n = -2*w. What is the remainder when w is divided by 2?
1
Suppose m - 6 + 1 = 0. Calculate the remainder when m is divided by 1.
0
What is the remainder when 12 is divided by (-5)/15 + (-48)/(-9)?
2
Suppose 3*g + 8 = 56. Suppose -5*p = -4*j - 45, -11 + 2 = -p - 3*j. What is the remainder when g is divided by p?
7
Suppose 2*q - 60 = -4*q. What is the remainder when 28 is divided by q?
8
Let l(o) = 4*o**2 - 11 + 0*o**2 - 3*o**2 - 5*o. Calculate the remainder when 24 is divided by l(8).
11
Suppose -4*a + 117 = 5*f, 2*a - f - 51 = -6*f. Let w(q) = -q**2 - 11*q - 1. Let r = -25 + 16. What is the remainder when a is divided by w(r)?
16
Let m = 9 - -3. Calculate the remainder when 47 is divided by m.
11
Suppose -3*w - 3*y + 42 = 0, -23 = -w - 6*y + 2*y. Let r = 5 + w. Calculate the remainder when 46 is divided by r.
14
Suppose 0 = -g - 5*j + 24, 3*j - 6*j + 28 = g. Suppose 3*y = 2*s - 8, -2*s + 5 = 5*y - 3. Let v = g + s. Calculate the remainder when v is divided by 20.
18
Suppose 4*l + 156 = 5*d + 24, 3*d - 2*l - 80 = 0. Calculate the remainder when d is divided by 15.
13
Let a(b) = b + 31. Let x be (-2)/4 - 2/(-4). What is the remainder when a(x) is divided by 8?
7
Let f = 4 - -31. What is the remainder when f is divided by 13?
9
Suppose -14*i - 139 = -461. What is the remainder when i is divided by 9?
5
Let t(w) = w**3 - 10*w**2 + 11*w - 1. Calculate the remainder when 61 is divided by t(9).
10
Let x(o) = 2 - o**2 - 2*o + 5*o + 2*o**2. Let a be x(-3). What is the remainder when -28*3/(a - 5) is divided by 10?
8
Let d be (-1 + 1)/1 + 71. Suppose m = -i + 29, -5*i = -0*m - 4*m + d. Calculate the remainder when 46 is divided by m.
22
What is the remainder when (15 + -14)*(1 + 3) is divided by 2?
0
Let h(c) = 4*c + 29. Let v = 46 - 21. Calculate the remainder when v is divided by h(-4).
12
Let a = 1 - 5. Let s = 1 + a. What is the remainder when 3*(-3 - 23/s) is divided by 4?
2
Let l(b) = 3*b**3 - 1 - 2*b**3 + 8*b**2 + 4*b - 7. Let z be l(-7). Let c = z - -1. Calculate the remainder when c is divided by 8.
6
Suppose -2*s + 5*t + 93 = -0*s, 4*s - 156 = 4*t. What is the remainder when 167 is divided by s?
31
Let g(h) = h**3 - 12*h**2 + 3*h + 3. Calculate the remainder when 116 is divided by g(12).
38
Let c = 23 + 1. Suppose 140 = -15*f + 17*f. Calculate the remainder when f is divided by c.
22
Let v(s) = s**2 + 2*s - 5. What is the remainder when v(4) is divided by 10?
9
Suppose -4*f + 164 = 4*k, 0*k - 3*f + 79 = 2*k. What is the remainder when k is divided by 15?
14
Let i = 28 + -21. Let j(y) = -y**3 - 5*y**2 - 2*y - 6. Let r be j(-5). Let v = r + 0. Calculate the remainder when i is divided by v.
3
Suppose -4*b + 59 = -13. Suppose 0*m + 4*m - 245 = -5*w, w + 4*m - 33 = 0. What is the remainder when w is divided by b?
17
Let v(t) = 12*t. Let k be v(1). Suppose 2*o - 2*y - k = -0*y, -5*o + 51 = 2*y. What is the remainder when 24 is divided by o?
6
Let j(m) = m**2 - 9*m + 3. Let t be j(9). Suppose t*l - 7 = 2. Calculate the remainder when 8 is divided by l.
2
Suppose -2*y = -0*y. Suppose y*s - 36 = -2*s. Let i(p) = 7*p - 1. What is the remainder when i(5) is divided by s?
16
Let k(q) = -q**3 + 3*q**2 + 4*q - 3. Let t(p) = p**2 - 3*p - 5. Calculate the remainder when k(3) is divided by t(5).
4
Suppose 2*o - 39 - 43 = 0. Let v be (-4 - -1)*4/(-6). Suppose v*q - 42 = -q. Calculate the remainder when o is divided by q.
13
Suppose -54 = -4*h + 86. Suppose -h = -2*w + 3. Calculate the remainder when w is divided by 7.
5
Let u(l) = l**3 - 6*l**2 + 4*l - 19. Calculate the remainder when u(7) is divided by 17.
7
Let o be (-4)/(24/9)*-6. What is the remainder when o - (2 + -2 + 2) is divided by 4?
3
Let u = -4 - -8. Let m = 9 - u. Suppose -n + 11 = -3*p, 0*n - 3*n = 3*p - 45. Calculate the remainder when n is divided by m.
4
Suppose -b + 2*g = -113, 4*b + g + 4*g = 452. Calculate the remainder when b is divided by 19.
18
Suppose 0 = -3*v - 5*j + 73, -15 = -v - 2*j - 2*j. Suppose -4*u + 0*o + v = 3*o, -o = 2*u - 15. Calculate the remainder when u is divided by 2.
1
Suppose -2*v = -2*i + 24, 4*i - 2*v = 6*i - 20. Calculate the remainder when 43 is divided by i.
10
Suppose 3*u = 2*o + 202, 3*o + 54 = 2*u - 79. Calculate the remainder when u is divided by 15.
8
Let q(t) = t + 2. Let s be (2 - 3)/(-1) + 1. Suppose -3*r + 14 = -u, 5*r + 0*u - 22 = s*u. Calculate the remainder when q(r) is
|
{
"pile_set_name": "DM Mathematics"
}
|
-114.1 + 114. What is the nearest to 0.1 in s, -0.4, 4?
s
Let r = -0.437 - -0.037. Which is the nearest to -0.1? (a) 0.5 (b) -3 (c) r
c
Suppose 2*x = 3*x - 3. Suppose -3 = -x*l + 3. Let t = -0.397 - 0.103. What is the closest to 1/2 in t, l, -2?
t
Let k = 10.5 + -10. Let r = 1.7 + -9.7. Let i = 5 + r. What is the closest to -1 in i, -0.4, k?
-0.4
Let t = -20 + 16. Let v = 3.9 + t. Suppose 0 = 2*c + 2*c + 4. What is the closest to v in -0.3, c, 2/3?
-0.3
Let r = -0.06 - -0.36. Let i = -1 + 6. Suppose -4*k = k + i. Which is the closest to -1/2? (a) r (b) k (c) -3
b
Let g = 2.5 + -2.6. What is the closest to 1 in 4, g, -2/9?
g
Suppose 0 = -2*m + 3*a + 5, 2*m = 3*m + a. Suppose -i = -2*i + m. Let s(o) = o**2 - o - 2. Let w be s(3). What is the closest to i in 0, w, 0.4?
0.4
Let s(p) = -149*p**2 + 4*p - 2. Let u be s(3). Let j = 26633/20 + u. Let x = -3/20 + j. Which is the closest to 1? (a) -1 (b) -4 (c) x
c
Let h = 0.189 - 0.139. Which is the closest to -0.1? (a) h (b) 0.4 (c) 1/4
a
Let r = 1.06 - 0.06. Let j = -3 + r. What is the closest to j in -1/5, 0.5, -4?
-1/5
Let r be 2/4*(-4)/(-10). Let q = -3/10 - r. Let d = -23 + 19. Which is the closest to q? (a) -2 (b) d (c) -3
a
Suppose -i + 8 = -2. Let o = i + -8. Let m = -2 + 3. What is the nearest to m in -0.2, -2/11, o?
o
Let w = -77 - -541/7. Let z = -0.4 + -0.6. Which is the closest to w? (a) 5 (b) z (c) -0.5
c
Suppose -3*z - 3*l - 24 = -6*z, z + 8 = -3*l. Suppose w + 17 = 3*g, -g - 3*g - 4*w = z. Let x = 1.7 - 1.3. What is the nearest to 0.1 in 2/9, x, g?
2/9
Let m = 0.16 + -0.08. Let z = m + 0.12. Let u = -10 + 7. Which is the closest to z? (a) 4 (b) -1 (c) u
b
Let a = 26 + -26.8. Let w = -1.2 + a. What is the nearest to -0.2 in 2/3, 2/7, w?
2/7
Let l be (-4)/6*(-5)/(-15). What is the closest to 0 in 2/5, l, -1?
l
Let o = -0.3 - -0.2. Let z = o - 1.9. Let l = z + 2. Which is the closest to 1? (a) -2/13 (b) l (c) 1/5
c
Let f = 5.61 + 4.17. Let s = f + 0.22. Let i = s + -15. What is the closest to 0.1 in -0.3, i, 4?
-0.3
Let z = 6 + -4. Let h(v) be the third derivative of v**4/24 - 5*v**3/6 + 4*v**2. Let d be h(6). What is the nearest to z in -1, 1/3, d?
d
Let a = -63.1 + 63. What is the nearest to -4 in a, -0.2, -2/3?
-2/3
Let j = -0.4 - 6.6. Which is the nearest to 1? (a) j (b) -5 (c) 0.5
c
Let w = 6 - 7. Let t = 113/144 - 9/16. Which is the nearest to -1/4? (a) w (b) -1/10 (c) t
b
Let m = 29 - 29. Let d = 0.03 + 0.37. What is the closest to -2 in m, d, 1?
m
Let x be ((-2139)/(-15) - 2) + -3. Let h = x + -138. Let q = 0.5 + 2.5. Which is the closest to h? (a) q (b) 1/6 (c) 4
b
Let u(x) = -x**3 + x**2 - 12. Let i be u(0). Let v = i + 12. Which is the nearest to v? (a) 3 (b) -0.2 (c) -0.4
b
Let r = -56 + 55.8. Let y = 31.4 - 36. Let m = y - -5. Which is the nearest to 1? (a) m (b) r (c) 2
a
Let d(i) = -i + 10. Let k be d(14). What is the closest to 5 in -5, 4, k?
4
Let h = 0.013 - 0.413. What is the nearest to -1/3 in 2, -2, h?
h
Let m = -0.03 + 0.13. Which is the nearest to m? (a) -4 (b) -2/7 (c) -1/7
c
Let v(q) = 5*q**3 - q + 1. Let t be v(1). Let s = t + -6. Let f = -0.97 + -0.03. What is the nearest to s in 3/5, f, -2/5?
f
Let k = 0.22 + -0.78. Let q = 0.06 + k. What is the nearest to 1 in -2/7, -0.3, q?
-2/7
Let o = 0.1 + 0. Let j = 0.3 - 0.3. Let l = j - 0.1. What is the closest to o in l, 1/5, -3/7?
1/5
Let m = -3 - -3.3. What is the closest to 0 in -2, -2/15, m?
-2/15
Let t = -11 + 12. Which is the closest to t? (a) 1 (b) 0.5 (c) -0.3
a
Let j(x) = x**2 - x - 2. Let i be j(3). What is the nearest to 0.1 in -2/9, i, 1?
-2/9
Let g = -0.06 - -2.06. Let i = g + -2. Let o = 1 - i. Which is the closest to o? (a) 4 (b) -3 (c) 0.5
c
Suppose 0 = -m + 6*m. Let h = 1.26 + -0.26. What is the nearest to h in -4, -1, m?
m
Let g(l) = -10*l + 3. Let p be g(5). Let w = p + 281/6. Let u(f) = f - 4. Let i be u(5). Which is the closest to i? (a) 2/13 (b) -1 (c) w
a
Let q = -97 - -483/5. Let k = -8.19 + 0.19. Let z = 7.9 + k. Which is the closest to z? (a) q (b) 4/5 (c) 1/4
a
Let s(w) = -w**3 - 2*w. Let i be s(0). Let j(q) = q**3 - 2*q**2 - 4*q + 4. Let d be j(3). Suppose i*x - d = x. What is the nearest to x in 2/7, 2, 0.5?
2/7
Let o = -3 + 6. What is the closest to -0.2 in -2/19, o, 2/7?
-2/19
Let l = 180 - 184. What is the nearest to -1/4 in l, -1/3, 4?
-1/3
Suppose m - 2*x = -43, -5*m - 185 = -3*x - x. Let j be (-3 - 93/m) + 0. Which is the closest to 0.1? (a) 0.1 (b) -2/5 (c) j
a
Let i be (2 - (-1590)/(-27))*2. Let j = i - -114. What is the nearest to 1 in 1, j, -0.3?
1
Let g be 7/4 - (3 - 1). Let t = -1/2 + g. What is the nearest to -1 in -0.5, -1/4, t?
t
Let s = -0.3 - -0.5. Let w = -34 - -372/11. What is the closest to s in 3, w, -3?
w
Let z = -0.19 - -0.19. What is the nearest to z in 1/3, 3/7, 0.2?
0.2
Let y be 2/10 - (-6)/(-5). Let g = -27 + 32. What is the nearest to -1 in y, g, 0.1?
y
Let n = -3 + 2. Let t = n + 5. Let z = 61 + -61.2. What is the nearest to -0.1 in -5, z, t?
z
Let d = -21 + 21. Which is the nearest to d? (a) -5 (b) 0.01 (c) 0.3
b
Let u be 0/2 + (0 - -1). Suppose 4*q - u = 3*q. Let c = -166/7 - -24. What is the closest to q in c, 3, -0.4?
c
Let h = 63.93 - 64. Which is the closest to 2? (a) 0.1 (b) h (c) -1/3
a
Let m = -1.9 - 3.1. Which is the closest to -0.4? (a) m (b) 0.4 (c) 0
c
Let n be (-2)/(-6) + (-2)/(-21). Let x = 0.3 - 0.3. Suppose v + v = 0. Which is the closest to x? (a) 1 (b) n (c) v
c
Let o = 5 + 0. Let l = 2.5 - o. Let t = 0.5 - l. Which is the closest to 0.1? (a) -1/11 (b) t (c) 5
a
Let r(t) = 2*t + 2. Let g be r(-1). Which is the nearest to g? (a) 2/7 (b) -1 (c) -3
a
Let f be ((-2)/20)/(10/40). What is the nearest to -1 in 2, f, 3/5?
f
Let k = 0 - 2. Let v = 97/4 - 95/4. What is the closest to v in 2, 4, k?
2
Let y = 122 - 120. What is the nearest to y in -3, -2/13, 13?
-2/13
Let o = -3.43 - -0.33. Let z = -2.9 - o. Let s = -0.2 + 0.3. What is the nearest to s in z, 0.3, 1/3?
z
Let w = 0.4 + -0.1. Which is the closest to -0.2? (a) 2/9 (b) w (c) -3
a
Let z = -7 - -6.7. Let n = 0 + z. Let r = 0.8 - 0.3. Which is the nearest to 1? (a) n (b) r (c) 2/9
b
Let x = -0.03 - 16.97. Let y = -14.06 - x. Let z = 0.06 + y. Which is the nearest to -0.2? (a) -0.5 (b) -4 (c) z
a
Let f be (10/4)/((-13)/((-104)/16)). What is the nearest to 1 in -1/5, f, 7?
f
Let n = -2.6 - -3. Let w = 27 - 27. Which is the closest to w? (a) 5 (b) -2 (c) n
c
Let h = -246/5 - -50. What is the nearest to 0 in h, -2/9, 2?
-2/9
Let r = 0.5 + -0.8. Let t = -0.106 - -0.006. What is the closest to 1/3 in r, 1, t?
t
Let o = 15 - 4. Let h = o - 12. What is the nearest to h in 0, -0.3, -1?
-1
Let m = 1.3 - -0.7. Which is the closest to m? (a) 2 (b) 4 (c) 3/4
a
Let u = 0.01 - -0.49. Let k = u - 0.9. Let i be ((-2)/10)/((-1)/2). Which is the nearest to i? (a) k (b) -3/5 (c) 2
a
Let f = -1.1 + 0.1. Let o = -0.13 - -5.13. What is the closest to f in -0.3, -4, o?
-0.3
Let v = -0.08 + 0.14. Let g = -3.94 - v. Let w be 4/5*(-100)/(-120). Which is the nearest to w? (a) 0.3 (b) g (c) -2/15
a
Let x = -14 - -27/2. Let d = -31.5 - -31. What is the nearest to x in -4, -3, d?
d
Let d(l) = l - 2. Let w be 4/(-3)*(-12)/8. Let m be d(w). Let t = 3.97 - -0.03. Which is the closest to m? (a) -0.4 (b) t (c) -2
a
Let s = -4 + 6. Suppose -s*z = -7*z + 20. Let a = 6.3 - 6. What is the nearest to 0.1 in -1/2, a, z?
a
Let u = -23 + 24. What is the closest to u in 1, -2/3, 3?
1
Let w = -18 - -19. Which is the nearest to 4/7? (a) 0 (b) w (c) 0.4
c
Let z = -0.102 - 0.198. Let w = -0.1 - -0.2. What is the closest to w in z, 0.1, 3?
0.1
Let s be 11/3 + -2 + (-42)/63. What is the closest to 2 in s, 1/5, -3/7?
s
Let a = -46 - -44. What is the nearest to -1/2 in 5, a, -8?
a
Suppose 2*u + 3*u = 10. Let z = 3/4 - 1/2. What is the closest to z in u, -5, 2/9?
2/9
Suppose 0 = 5*x + 35. Let h = x - -7. Which is the nearest to -2/3? (a) h (b) 2/7 (c) 2/9
a
Let g = -27/13 + 83/65. What is the nearest to 2/7 in 1/8, -4, g?
1/8
Let s = -1.78 - 0.22. Which is the closest to 0.3? (a) -2/5 (b) s (c) -4
a
Let h = -14 + 13.9. Let p = -336 - -5714/17. What is the closest to h in p, 3/2, 1?
p
Let l be (-49)/(-63) - 4 - (-5 + 2). Let s = -7/11 - -57
|
{
"pile_set_name": "DM Mathematics"
}
|
-8977, -20191, -35891, -56077, -80749?
-2243*o**2 + o - 7
What is the l'th term of 514, 482, 450?
-32*l + 546
What is the w'th term of -3031, -2911, -2793, -2677?
-w**2 + 123*w - 3153
What is the k'th term of 664608, 1329217, 1993826, 2658435, 3323044?
664609*k - 1
What is the b'th term of 172, 429, 700, 985, 1284?
7*b**2 + 236*b - 71
What is the h'th term of -1040, -1709, -2378, -3047, -3716, -4385?
-669*h - 371
What is the w'th term of -353, -568, -783, -998, -1213?
-215*w - 138
What is the q'th term of -57637, -57632, -57627?
5*q - 57642
What is the y'th term of -440, -387, -344, -317, -312, -335, -392, -489?
-y**3 + y**2 + 57*y - 497
What is the c'th term of -2077, -8325, -18739, -33319, -52065, -74977?
-2083*c**2 + c + 5
What is the z'th term of -54394, -54399, -54406, -54415?
-z**2 - 2*z - 54391
What is the t'th term of -126, -97, -84, -81, -82, -81, -72, -49?
t**3 - 14*t**2 + 64*t - 177
What is the t'th term of 1993, 7977, 17953, 31915, 49857?
-t**3 + 2002*t**2 - 15*t + 7
What is the p'th term of 37, 204, 449, 748, 1077, 1412?
-4*p**3 + 63*p**2 + 6*p - 28
What is the g'th term of -9, -17, -31, -51?
-3*g**2 + g - 7
What is the q'th term of -259, -1097, -2495, -4453, -6971, -10049?
-280*q**2 + 2*q + 19
What is the x'th term of -4326, -8830, -13348, -17886, -22450?
-x**3 - x**2 - 4494*x + 170
What is the k'th term of -570791, -570774, -570745, -570698, -570627, -570526, -570389?
k**3 + 10*k - 570802
What is the p'th term of -1161, -2306, -3451?
-1145*p - 16
What is the d'th term of 849, 864, 879, 894?
15*d + 834
What is the v'th term of 12696121, 12696120, 12696119?
-v + 12696122
What is the z'th term of -10335, -20626, -30925, -41238, -51571?
-z**3 + 2*z**2 - 10290*z - 46
What is the t'th term of 12525, 25046, 37567, 50088, 62609, 75130?
12521*t + 4
What is the o'th term of 31591, 31592, 31593?
o + 31590
What is the i'th term of 3827, 3846, 3839, 3800, 3723?
-i**3 - 7*i**2 + 47*i + 3788
What is the s'th term of -72238, -144480, -216722, -288964, -361206?
-72242*s + 4
What is the v'th term of 92, 178, 250, 302, 328?
-v**3 - v**2 + 96*v - 2
What is the d'th term of -976, -714, -452?
262*d - 1238
What is the c'th term of -597, 361, 1965, 4221, 7135, 10713, 14961?
c**3 + 317*c**2 - 915
What is the r'th term of -1524, -1495, -1440, -1359, -1252, -1119, -960?
13*r**2 - 10*r - 1527
What is the d'th term of -3728, -7457, -11182, -14903, -18620, -22333?
2*d**2 - 3735*d + 5
What is the s'th term of -194, -397, -614, -851, -1114, -1409?
-s**3 - s**2 - 193*s + 1
What is the q'th term of -2523, -2549, -2565, -2565, -2543, -2493?
q**3 - q**2 - 30*q - 2493
What is the c'th term of 280, 406, 550, 712, 892?
9*c**2 + 99*c + 172
What is the a'th term of 128040, 128042, 128044?
2*a + 128038
What is the b'th term of 13382, 13381, 13380, 13379, 13378?
-b + 13383
What is the v'th term of -4652, -9339, -14026, -18713, -23400, -28087?
-4687*v + 35
What is the v'th term of -443, -1749, -3913, -6929, -10791?
v**3 - 435*v**2 - 8*v - 1
What is the k'th term of -528, -2105, -4732, -8409, -13136, -18913, -25740?
-525*k**2 - 2*k - 1
What is the a'th term of -358, -668, -1516, -3172, -5906, -9988, -15688, -23276?
-45*a**3 + a**2 + 2*a - 316
What is the s'th term of -13, 65, 283, 713, 1427, 2497?
12*s**3 - 2*s**2 - 23
What is the j'th term of -398861, -398859, -398857, -398855?
2*j - 398863
What is the d'th term of 4101, 16508, 37207, 66216, 103553, 149236, 203283, 265712?
3*d**3 + 4128*d**2 + 2*d - 32
What is the a'th term of -259, -1081, -2469, -4423, -6943, -10029, -13681?
-283*a**2 + 27*a - 3
What is the u'th term of 379, -39, -457, -875, -1293, -1711?
-418*u + 797
What is the u'th term of -506, -472, -440, -410, -382, -356, -332?
-u**2 + 37*u - 542
What is the u'th term of -128, -159, -204, -263, -336, -423?
-7*u**2 - 10*u - 111
What is the f'th term of -6126, -12244, -18362, -24480, -30598?
-6118*f - 8
What is the a'th term of 128, 319, 922, 2147, 4204, 7303, 11654?
35*a**3 - 4*a**2 - 42*a + 139
What is the k'th term of -2215, -8785, -19719, -35017, -54679, -78705, -107095?
-2182*k**2 - 24*k - 9
What is the h'th term of -5525, -11048, -16571, -22094, -27617?
-5523*h - 2
What is the z'th term of 91613, 183225, 274835, 366443, 458049, 549653, 641255?
-z**2 + 91615*z - 1
What is the p'th term of 2765, 11024, 24775, 44018, 68753, 98980?
2746*p**2 + 21*p - 2
What is the o'th term of 19, 3, -119, -419, -969?
-12*o**3 + 19*o**2 + 11*o + 1
What is the s'th term of 31301, 62451, 93601?
31150*s + 151
What is the x'th term of 138, 1144, 3854, 9120, 17794?
142*x**3 + 12*x - 16
What is the n'th term of -1143, -1159, -1175, -1191, -1207, -1223?
-16*n - 1127
What is the l'th term of 2954, 5961, 8968, 11975, 14982, 17989?
3007*l - 53
What is the p'th term of 267900, 535799, 803698, 1071597, 1339496?
267899*p + 1
What is the r'th term of 73, 359, 909, 1783, 3041, 4743?
10*r**3 + 72*r**2 - 9
What is the d'th term of 2971, 5933, 8881, 11809, 14711, 17581, 20413?
-d**3 - d**2 + 2972*d + 1
What is the y'th term of 444, 1713, 3802, 6687, 10344, 14749, 19878?
-4*y**3 + 434*y**2 - 5*y + 19
What is the b'th term of 227, 974, 2211, 3938?
245*b**2 + 12*b - 30
What is the k'th term of 15226, 15229, 15232?
3*k + 15223
What is the q'th term of -1321, -1355, -1391, -1435, -1493, -1571, -1675, -1811?
-q**3 + 5*q**2 - 42*q - 1283
What is the j'th term of 50, 102, 186, 308, 474, 690?
j**3 + 10*j**2 + 15*j + 24
What is the c'th term of 103, 267, 497, 793, 1155, 1583?
33*c**2 + 65*c + 5
What is the h'th term of -60, -288, -688, -1266, -2028?
-h**3 - 80*h**2 + 19*h + 2
What is the z'th term of -84820, -84822, -84824, -84826, -84828?
-2*z - 84818
What is the b'th term of -129, -45, 95, 297, 567, 911?
b**3 + 22*b**2 + 11*b - 163
What is the i'th term of 974, 3866, 8672, 15380, 23978?
-2*i**3 + 969*i**2 - i + 8
What is the o'th term of -4934, -4912, -4876, -4826?
7*o**2 + o - 4942
What is the k'th term of 17, 27, 33, 29, 9, -33, -103, -207?
-k**3 + 4*k**2 + 5*k + 9
What is the b'th term of -1655, -1679, -1703, -1727?
-24*b - 1631
What is the s'th term of 302, 495, 688, 881, 1074, 1267?
193*s + 109
What is the p'th term of 718, 714, 704, 688, 666, 638, 604?
-3*p**2 + 5*p + 716
What is the w'th term of -3519, -3491, -3415, -3267, -3023, -2659, -2151?
4*w**3 - 3523
What is the s'th term of -72410, -144844, -217278, -289712, -362146?
-72434*s + 24
What is the n'th term of 24929, 24991, 25047, 25091, 25117?
-n**3 + 3*n**2 + 60*n + 24867
What is the h'th term of -8589, -17224, -25859?
-8635*h + 46
What is the m'th term of 15443, 15452, 15461, 15464, 15455, 15428, 15377?
-m**3 + 6*m**2 - 2*m + 15440
What is the g'th term of 635, 682, 731, 782, 835?
g**2 + 44*g + 590
What is the p'th term of 1, 89, 185, 295, 425, 581, 769, 995?
p**3 - 2*p**2 + 87*p - 85
What is the n'th term of 2001, 2716, 3431, 4146?
715*n + 1286
What is the a'th term of -3810, -7649, -11488?
-3839*a + 29
What is the o'th term of 1896164, 3792329, 5688494, 7584659, 9480824?
1896165*o - 1
What is the b'th term of -94957, -94952, -94947, -94942, -94937, -94932?
5*b - 94962
What is the s'th term of -27092, -27090, -27088?
2*s - 27094
What is the t'th term of -5, -130, -455, -1082, -2113, -3650, -5795?
-17*t**3 + 2*t**2 - 12*t + 22
What is the w'th term of 14079, 56314, 126705, 225252, 351955?
14078*w**2 + w
What is the b'th term of -49, -272, -673, -1276, -2105?
-4*b**3 - 65*b**2 + 20
What is the l'th term of 209, 295, 371, 443, 517, 599, 695?
l**3 - 11*l**2 + 112*l + 107
What is the f'th term of -1370, -1366, -1360, -1352, -1342?
f**2 + f - 1372
What is the b'th term of 235174, 235176, 235178, 235180, 235182, 235184?
2*b + 235172
What is the k'th term of 1202332, 2404666, 3607000?
1202334*k - 2
What is the m'th term of 70, 125, 162, 181, 182, 165, 130?
-9*m**2 + 82*m - 3
What is the i'th term of -462486, -462487, -462486, -462483, -462478, -462471, -462462?
i**2 - 4*i - 462483
What is the p'th term of 5, 41, 101, 185, 293, 425?
12*p**2 - 7
What is the n'th term of -1108, -1130, -1168, -1222, -1292?
-8*n**2 + 2*n - 1102
What is the t'th term of -68652, -68649, -68646, -68643, -68640, -68637?
3*t - 68655
What is the v'th term of -7018, -7034, -7036, -7018, -6974, -6898?
v**3 + v**2 - 26*v - 6994
What is the s'th term of 195, 437, 643, 795, 875
|
{
"pile_set_name": "DM Mathematics"
}
|
r.
g, -4/7, -1/3
Suppose -2*b = -2*a + 7*a - 113, -2*a + b = -38. Suppose -a - 5 = -2*w. Let f be 21/52 + (-2)/w. Put f, -2, -1/8 in decreasing order.
f, -1/8, -2
Let r = 1.24 - 1.2. Put r, -2/7, -1/3 in descending order.
r, -2/7, -1/3
Let a = 2806/4935 + 2/705. Put a, 2, 5, 13 in increasing order.
a, 2, 5, 13
Let v = -0.105 + 3.105. Sort 1, -0.5, 5, v in descending order.
5, v, 1, -0.5
Let a = 3 - 3. Sort -5, -4, a in decreasing order.
a, -4, -5
Suppose 4*c - 1 = 3*c. Let w = -12 + 21. Let t be w/(-6) + 39/6. Sort t, 0, c.
0, c, t
Let n be (1/(-4))/((-14)/8). Let f = 4 + 8. Let w be (8/f)/((-2)/6). Sort w, n, 0.5 in ascending order.
w, n, 0.5
Let d = -4.8 - -5. Let n = -0.25 + d. Let c = n - -0.05. Put -2/15, 5, c in decreasing order.
5, c, -2/15
Let q = -6 - -5.93. Sort q, -4, 0.2 in increasing order.
-4, q, 0.2
Suppose -k + 5*k + 11 = g, 0 = 5*g - k + 21. Let o = 3 + g. Let s(u) = -u**3 + 9*u**2 - u + 5. Let h be s(9). Put 1, h, o in increasing order.
h, o, 1
Let o(b) = -b - 11. Let n be o(-11). Put -2, -5, -21, n in ascending order.
-21, -5, -2, n
Let j = -3/4460 - -142819/147180. Let v = j + -18/11. Put v, -0.3, 4 in increasing order.
v, -0.3, 4
Let m = 2 + -5. Let l = 3.1 + m. Let r(y) = -y**2 - 3. Let q be r(0). Sort l, q, -0.5 in decreasing order.
l, -0.5, q
Let i = -3.7 + 3. Let f = i - -1. Let o be 50/8*4/(-10). Put o, f, -0.3 in descending order.
f, -0.3, o
Let t = 1/8 + 1/8. Let z = 1/43 + 67/817. Let x = 121 + -1817/15. Put x, t, z in ascending order.
x, z, t
Let o = -0.2 + -1.8. Sort -0.5, 1, o in decreasing order.
1, -0.5, o
Let i be 8*(-4)/8 + -1. Sort i, -0.4, -0.33 in decreasing order.
-0.33, -0.4, i
Suppose h + 2*f = -3, 0 = -5*h - f + 4*f + 24. Suppose -a - h = 1. Let i be (-10)/4 + 1/(-2). Sort a, 2, i in ascending order.
a, i, 2
Suppose 2*w - 3*w - 1 = 0. Let z be (-6)/(-2) + w + 0. Sort -10, -3, z.
-10, -3, z
Let h = 24 - 34. Let u = -3.1 + -0.9. Put h, 4/3, u in increasing order.
h, u, 4/3
Let o = 3/43 + -52/129. Sort -2, 2, o.
-2, o, 2
Let v = 2/7 + -11/14. Put -2, 0.3, v in increasing order.
-2, v, 0.3
Let t = 13 - 66/5. Let g = -9 - -9. Sort g, t, 1.
t, g, 1
Let k(o) = o**3 - 12*o**2 + 2*o - 18. Let r be k(12). Let c be r - (-1)/((-3)/6). Let v = 0 - -0.3. Put c, 0.4, v in decreasing order.
c, 0.4, v
Let i = -0.1 + 2.1. Sort 3, i, -0.28.
-0.28, i, 3
Let k be (-24)/(-18)*9/66*1. Sort -1/6, k, 5, -0.1 in increasing order.
-1/6, -0.1, k, 5
Let x(m) = 1 - 3*m**3 + 4*m**3 - 2*m + 0*m**3. Let s be x(2). Sort 1, 2, s in descending order.
s, 2, 1
Let g = 0.53 - 0.53. Let t = 0.8 - 0.5. Put g, 4, t in decreasing order.
4, t, g
Let l(o) = 4*o**2 + 2*o - 1. Suppose 5*b + 3 = 8. Let p be l(b). Suppose -14 + 2 = 4*i, 0 = -5*g + 5*i. Put p, -4, g in increasing order.
-4, g, p
Suppose -2*h = 2*h - 80. Suppose o = -2*a - 1, -3*a = 2*a - 2*o - h. Let l be (13/a - 2)/(-6). Put l, -0.2, 0 in increasing order.
l, -0.2, 0
Let b = -35 - -35. Sort 5, 6, b in decreasing order.
6, 5, b
Suppose -3*h - 1 = -n, 2*n - 5*n + 3 = 2*h. Sort h, 3, -2, 5.
-2, h, 3, 5
Suppose 4*n + 4 = 4*z, 3*z + 2*n + 12 + 5 = 0. Sort z, -0.08, -0.2 in descending order.
-0.08, -0.2, z
Suppose 0 = 5*y - 3*i - 11, 2*y + y = -3*i - 3. Let x = -1 + y. Suppose 3*a - 12 = x, 4*j = j + 3*a. Sort -1, 5, j.
-1, j, 5
Let i = 90 + -86. Sort -7, -1, -3, i in increasing order.
-7, -3, -1, i
Let q = -0.08767 - -44.87767. Let s = -45 + q. Let c = s + 0.01. Sort c, 0.3, -2/5 in decreasing order.
0.3, c, -2/5
Let c(w) = -w**3 - 7*w**2 + 17*w - 9. Let f be c(-9). Put 1, f, 3 in descending order.
3, 1, f
Let x be 5 + ((-12)/(-3) - 8). Sort x, 0, -1 in decreasing order.
x, 0, -1
Suppose -8*x - 5 = -13*x. Sort -29, x, -1.
-29, -1, x
Let w be (4/(-30)*-6)/(1/(-5)). Sort 0.7, -0.4, -3/5, w in decreasing order.
0.7, -0.4, -3/5, w
Let g be (-1 - -13)*(-1 + 2). Suppose -5*p - 5*w = -20, -4*p + 3*w + g - 31 = 0. Let l = -6 + 11. Sort p, 3, l.
p, 3, l
Let m = -9/19 + -1/38. Sort m, 3/5, -3 in ascending order.
-3, m, 3/5
Let g = -2.2 + 2.18. Put g, -2/7, -5 in increasing order.
-5, -2/7, g
Let a = -20.37 - -0.37. Let w = a - -12. Let s = -7 - w. Sort s, 3, 0.5.
0.5, s, 3
Suppose 2*a + 4*f + 22 + 4 = 0, -2*f = 8. Put -0.5, a, 10/7 in ascending order.
a, -0.5, 10/7
Let k be 0/(6/(-1)) + (-2)/3. Put k, -5, 0.3, 5 in descending order.
5, 0.3, k, -5
Let b = 47 + -46.7. Put -0.5, 5, b, -3 in descending order.
5, b, -0.5, -3
Let s = 1916618718136/749835 - -424109882/877. Let f = 3039646 - s. Let d = f - -2/171. Put -0.4, 0, d in decreasing order.
d, 0, -0.4
Let u = 6.7 - 7. Let j = u - -4.3. Let c(n) = n**2 + 8*n + 12. Let v be c(-5). Sort v, j, 0.1 in ascending order.
v, 0.1, j
Suppose t = -3*t - 8. Suppose 3 + 1 = 2*m. Sort m, 4, t in ascending order.
t, m, 4
Let b = 155 + -141. Sort b, 5, -3 in increasing order.
-3, 5, b
Let m be (3/30)/(3/(-24)). Sort -1/5, m, 0 in increasing order.
m, -1/5, 0
Let l = 1 - 2. Let j be -5 - (-76)/12 - (-1)/(-3). Put 0, j, l in decreasing order.
j, 0, l
Let z(h) = h**3 - 4*h**2 - 2*h + 3. Let l be 2/(2 + -1)*2. Let r be z(l). Sort r, -2, 0.
r, -2, 0
Let c be -10*(-6)/(-15)*-1. Let x be 16/72*3/c. Put 4, -3, x in descending order.
4, x, -3
Let k = -0.964 + -0.036. Sort 1, -0.1, k.
k, -0.1, 1
Let o = -9 - -14. Put 0.19, -2/9, o in decreasing order.
o, 0.19, -2/9
Let f = -13 + 18. Let o = 9 - f. Put 3, -5, o in descending order.
o, 3, -5
Let y be (2 - 1) + 3/(-6). Put -0.4, y, -2 in ascending order.
-2, -0.4, y
Let k(w) = w**3 + 5*w**2 - 7*w - 5. Let y be k(-6). Let z = 18 + -18.23. Let t = -0.3 - z. Put t, y, 0.1 in decreasing order.
y, 0.1, t
Let g = -7 + 6.7. Let f be ((-48)/27 + (-4)/18)/(-8). Put -3, f, g in decreasing order.
f, g, -3
Let q(n) = 4*n + 8. Let f be q(-3). Put -3, -2, 4, f in ascending order.
f, -3, -2, 4
Suppose j + 1 = -j - r, -3*j + 3*r + 3 = 0. Put j, -6/7, -0.3 in descending order.
j, -0.3, -6/7
Let s = 2 - -3. Let q = -66 + 332/5. Sort 1, q, s in ascending order.
q, 1, s
Let m = -0.049 - -5.349. Let d = m - 7. Let w = d + 2. Put -5, -3, w in decreasing order.
w, -3, -5
Let s be (-2)/12*(-2)/(-2). Sort 4, s, 0.3.
s, 0.3, 4
Let j = 2 + -7. Let o(q) = q**3 + 5*q**2 + q + 7. Let b be o(j). Let y(t) = t**3 - 7*t**2 + 5*t + 3. Let s be y(6). Sort 1, b, s in increasing order.
s, 1, b
Let u = 13.73 - -0.37. Let a = -14 + u. Sort 0.2, -1/2, a in descending order.
0.2, a, -1/2
Let x = 33 - 32. Sort -0.4, 3, x, -0.1 in decreasing order.
3, x, -0.1, -0.4
Let c = -2/71 + 217/142. Let f(h) = h**3 - 11*h**2 + 4. Let k be f(11). Put c, k, -5 in increasing order.
-5, c, k
Let i be (-112)/(-40) + 8/(-10). Put -4, -5, i in decreasing order.
i, -4, -5
Let k be (-12)/7 - 18/(-9). Put 0, -2, k in descending order.
k, 0, -2
Let w be (8/14)/((-6)/14). Let a = -10 - -5. Let b = a - -8. Put -3, b, w in decreasing order.
b, w, -3
Let x(q) = 5*q - 2. Let c be x(1). Suppose 0 = -2*r - c*v - 2, 3*v = -2*r - 2*r - 4. Sort r, 0, 4 in ascending order.
r, 0, 4
Suppose 0 = -6*m + 4 + 2. Suppose 0 = -n - 1. Let b be (5 - (2 - m)) + n. Put 0, b, -3 in ascending order.
-3, 0, b
Let m(j) = j**2 - 1. Let f be m(-2). Let y(d) = 6*d**3 - 2*d**2 + 2*d - 1. Let s be y(1). Suppose 7*k = 9*k - 4. Sort k, s, f in descending order.
s, f, k
Let g = 0.2 - 0.3. Let u be 3/(-27)*-3*-6. Let f be ((-3)/2)/(33/(-4)). Sort u, f, g.
u, g, f
Suppose -4*i = -5*a - 33, -8 + 1 = a - i. Put a, 2, -1 in increasing order.
a, -1, 2
Let z = 0.05 + -0.08. Sort -5, -4, z in decreasing order.
z, -4, -5
Suppose -d - d = 2*l, 0 = 4*d - 3*l + 35. Put d, -0.5, 0.3, -0.2 in descending order.
0.3, -0.2, -0.5, d
Let q = -10 + 43. Put q, -1, -2/3 in ascending order.
-1, -2/3, q
Let l = -185 - -1298/7. Put l, 5, -5 in increasing order.
-5, l, 5
Let p be -4 - -2*(-4)/(-8). Put 3, p, 5 in descending order.
5, 3, p
Let o be 16/50*(-4)/(-16). Let f = -6 + 6.1. Sort -0.4, o, f in increasing order.
-0.4, o, f
Let o = 0.19 + 0.01. Let x(h) = h**3 + 6*h**2 - 9*h - 10. Let s be x(-7). Put o, s, -2/9 in descending order.
s, o, -2/9
Let x(u) = -3*u + 22. Let h be x(6). Sort -3, h, 0.3, 0 in increasing order.
-3, 0, 0.3, h
Suppose -4*u = 5*h - 60, -2*h + 2*u + 8 + 16 = 0. Suppose 0 = -4*l + 7*l - h. Let z = 0 + -5. Put 3, l, z in increasing order.
z, 3, l
Suppose 6*r = 2*r + 2*g - 2, -4*r - 2*g - 6 = 0. Let l = -29 - -46. Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
b(x) = x**3 + 9*x**2 - 11*x - 7. Let y be b(-10). Suppose 2*d + 2*v = 8, y*d + v = -2*d + 4. Solve d = 2*f + 2*i + 4, -f + 26 = -5*f + 2*i for f.
-5
Let m(a) = -a**3 - a**2 + 4*a - 1. Let n be m(-3). Suppose -2*c = -1 - n. Solve 4*q = -c*u - 6, 0 = -4*u - q - 3 - 5 for u.
-2
Suppose -i = 5*u - 27, -11*u + 7*u + 12 = -4*i. Solve 5*n + 17 = 2*r, 3*r - i + 5 = -2*n for n.
-3
Let x = -8 + 8. Solve x = -3*b - 5*a - 26, -7*b + 2*b = a + 14 for b.
-2
Let w = 11 + -16. Let a = w - -5. Let f = 5 - -1. Solve 4*p = a, -n - 4*p = -3*n + f for n.
3
Let h be (2 - 3)*2 - -12. Let d be (h/4)/5*10. Solve -4*k = k + d*r + 35, -17 = 2*k + 3*r for k.
-4
Let p(a) = -a - 3. Suppose -4*x = -2*n + 42, 0 = 5*n - 0 - 25. Let j = x + 3. Let d be p(j). Solve -4*v = -l + 25, -d*l - 2*l - v + 15 = 0 for l.
5
Suppose 6*b - 42 = 42. Let t = 17 - b. Solve 0 = -4*d, -3*p = p - t*d - 4 for p.
1
Suppose s - 6 = -0*s. Suppose 0 = -3*t - 0*t + 12. Solve n = -t*h - 24, 3*n + 5*h = -s - 31 for n.
-4
Let t be (-90)/20*(-8)/6. Solve -t = 2*p + w + 6, 0 = 4*p - 3*w + 14 for p.
-5
Let h be (-464)/8*3/(-6). Solve -4*j - j - h = 3*b, -5 = 2*j - b for j.
-4
Let x(v) = -v**2 + 8*v - 12. Let u be x(5). Let b be ((-6)/(-4))/(u/4). Solve -9 = -3*d - 4*m, b*d = -m + 6 - 0 for d.
3
Suppose -4*x - 4*o = 12, 3*o + 6 = -x - 3. Solve -3*z + 25 = 2*z - 3*p, -p = x for z.
5
Let r = -2 + 5. Suppose -3*j = -5*o - 23 + 6, -r*j + 7 = 5*o. Solve j*p = 4*a + 4, a - 24 = 4*a + 4*p for a.
-4
Suppose 0 = -5*m + 2*m + 36. Let z be (m/(-15))/((-2)/5). Solve -z*y = -0*y - 2*w - 6, 4*w = 0 for y.
3
Suppose 0 = -t - 0*t + 48. Suppose 4*y - 2*w + w - 30 = 0, 5*y + 4*w = t. Let s = 10 - y. Solve 3*x - 16 = -4*b, -4*x - 7 = -s*b + 1 for b.
4
Suppose 2*z - 3*c - 45 = -8, 4*c - 30 = -3*z. Let p be (-1)/2*-8 - 0. Solve -5*n + 10 = -v, p*v + 0*v = 2*n + z for v.
5
Let w = 9 - -5. Let y(f) = f**3 - 5*f**2 + 4*f + 5. Let z be (-3)/((18/8)/(-3)). Let q be y(z). Solve 0 = q*c + 2*n - 27, n - 7 = -4*c + w for c.
5
Let t be ((-5)/(-2))/(-1)*16/(-10). Let j = -4 - -7. Solve 5*k - 4 = 4*d, -3*k + t = -j*d + d for k.
4
Suppose 3*d - 15 = -3*a, -3 = -a + 6*a - 2*d. Let h = a + 4. Solve -s - h*w = -4*s - 25, s - w = -7 for s.
-5
Suppose -6*l - 3 = -7*l. Suppose 0*x + 16 = -4*w + 4*x, 4*w = -l*x + 19. Solve -2*c + 4 = -v, 4*v - w = 2*v - 5*c for v.
-2
Suppose 2*r - 22 = -4*x, -5*x - 2*r + 31 = 5. Solve -9 = -a + 4*y, 0 = -x*a + 5*y + 15 - 1 for a.
1
Let i(v) = -v**2 + 11*v - 7. Let q be i(10). Solve l + 8 = 5*p, q*p + 8 = 2*l + 5*p for l.
2
Let h be (2/(-4))/((-3)/12). Solve 3*n = -h*n - 20, 4*k + 4*n + 36 = 0 for k.
-5
Suppose 0 = 2*c - 4*c + 10. Solve c = -3*l - 1, -2*l - 4 = v for v.
0
Suppose 0 = 4*v + 4. Let n be 5 + v + 3/3. Solve -8*g - p = -3*g + 7, n*p = -g - 11 for g.
-1
Suppose 0 = -5*c + 5*h + 140, c + 6*h - 2*h = 48. Let m = 6 + -3. Suppose -u = m*u. Solve -4*b + b + 3 = 3*q, u = -5*q + 4*b + c for q.
4
Let u = -2 + 2. Solve 4*l + 3*b - 13 = u, 5*l + b - 19 = -0*b for l.
4
Let b = 172 - 297. Let y be b/(-4) + 8/(-32). Solve -2*m + 5*m - y = 5*z, 20 = -4*z for m.
2
Let x(m) = -m**2 - 7*m - 7. Let q be x(-5). Solve 4*n + 3 = -3*h, q*n - 11 = -2 for h.
-5
Suppose 0 = 3*v + 2*v - 25. Solve 4*i - 2*m + 3*m + 18 = 0, v*i - 2*m + 16 = 0 for i.
-4
Let k(d) = 2*d**2 - 2*d - 1. Let g be k(2). Let r(c) = 0*c + 6 - c - 2. Let v be r(0). Solve v*o - 16 = 3*o + 3*h, -g*h = 12 for o.
4
Let o be ((-5)/(-15))/(2/12). Solve -o*t = k + 2*k - 13, 3*k = 5*t - 1 for t.
2
Let x be ((-3)/6)/((-5)/30). Suppose -3*m = -x*v + 2*v - 9, 4*v = 0. Solve -n + 19 = -m*l, -3*l + 2*n + 5 = 7*n for l.
-5
Let n be ((2 - -2) + -2)*2. Solve -4*w = -2*u - 9 + 1, 2*u - w = n for u.
4
Let o(j) = -j**3 - 2*j**2 + 3*j + 4. Let y be o(-3). Suppose 8*q = 43 + 5. Solve -5*x = -3*r - 28, -y*x + 3*r + 29 = q for x.
5
Let u be 0*1/8*4. Suppose 3*g - 12 - 3 = u. Solve -5*w = 3*t - g - 7, 5*w - 16 = -4*t for w.
0
Let b(q) = -q**2 + 6*q + 1. Suppose 0 = -5*n - 3*o + 10, -n = -0*n + o. Let h be b(n). Solve 5*y + h = 2*f, -2*y - y = -3*f for y.
-2
Let h be 58/6 + 8/24. Suppose -2*n + m + 6 = n, -3*m = -5*n + h. Suppose 0*s + 4 = n*s. Solve 0 = -s*p + 2*w - w, 0 = 3*w + 12 for p.
-2
Let j be 18/4 - (-24)/16. Suppose 2*m - j*m = 5*h + 17, m = -4*h - 18. Solve 4*d + 14 = 2*w - d, -d = m for w.
2
Let o be (10/4)/((-3)/(-6)). Let n = 5 - o. Suppose -5*c + 81 + 39 = n. Solve 33 = 2*u - 5*i, u - i - c = 3*i for u.
4
Let v be (-4)/(16/6)*-2. Let x = 38 - 18. Solve 7 = 3*d - c, v*d + 4*c = 52 - x for d.
4
Suppose -2 = -4*l + 5*k, 11 - 1 = 5*k. Let a be 2 + 0/2 - -2. Solve 0 = l*f - 5*u + 25, 1 = 5*f - a*f + 3*u for f.
-5
Suppose 2*f + 6 = 0, 3*f = 3*j - 19 + 4. Suppose -q - w = -10, -41 = 5*q + j*w - 106. Suppose -4*l + q = -5. Solve 9 = -l*d + 4*t, 4*d - t + 3 = -2*t for d.
-1
Let d = 3 + -2. Solve 0 = -y - 3 - d, r - 5 = 2*y for r.
-3
Let u(b) be the first derivative of -b**2/2 + 16*b + 3. Let q be u(11). Suppose 13 - 3 = q*p. Solve i + p*t = 3*t - 2, 2*i - 21 = -3*t for i.
3
Let c(w) = -w + 11. Let a be c(7). Solve 3*i - 3*f - 15 = 0, -a*i + 1 = 5*f - 1 for i.
3
Let l(c) = -2*c - 4. Let r be l(-3). Suppose 12 = 2*s + r*s. Suppose -s = 3*y, -2*y = -2*o + y + 25. Solve 0 = 4*n - 5*a + 20, o = -3*n + 3*a - 1 for n.
0
Suppose 0 = 5*r - 6*r + 1. Solve 5*g - q = 23, g - q = 2*q - r for g.
5
Let w be ((-4)/5)/((-2)/5). Suppose -3*u + 35 = 4*z, 5*u - 39 = z + w*z. Let i = u - 4. Solve 0 = h + 1, -3*x + i*h - 7 = -6*x for x.
4
Suppose -4*c = 2*s - 8, -6 = -4*c + 2*c. Let i be (-2 - -6)/(4 + s). Let g = -5 - -15. Solve l + 12 = -2*t, -4*t - g + i = -2*l for t.
-4
Let m be (-218)/5 + 6/(-15). Let c be (-888)/m + (-4)/22. Solve -q + 5*v = -5, 0*q = 4*q + 4*v - c for q.
5
Let w = -4 + 6. Let v = 1 + 4. Suppose v = -5*f + 3*q, 2 = 3*f - 3*q + 11. Solve -3*t = -o - w - 1, -f*t = 0 for o.
-3
Suppose -19 = -4*v + 5. Solve v*f - 3*f - 23 = 5*t, f = 5*t + 21 for t.
-4
Suppose -5*a = -a + 4. Let i be -10*a/(-4)*-2. Suppose 17 - 7 = i*f. Solve -f*t = 2*y - 12, 6 = 4*y - 4*t - t for y.
4
Let s(d) = d**2 - 5*d + 6. Suppose 5*c - 26 = l, 5*c - 3*c - 13 = 3*l. Let k be s(c). Solve 5*i + 3*m - 10 = -2*m, k = -2*i + 3*m for i.
0
Let o(t) = -2*t + 3. Suppose 3*s = 12, 8 = 4*b + 4*s - 5*s. Let u be o(b). Let c = 3 + u. Solve 3*m + 3*x + 21 = 0, -m - 2*x + 0 - 9 = c for m.
-5
Suppose t = 3*t + 4. Let b = 3 - t. Solve b*x + 15 = 0, 0 = i + 3*x - x + 5 for i.
1
Suppose -4*w - z = -18, -4*w + 9 + 5 = -z. Solve -5*b = -w*m - 20, 3*b - m + 5*m + 20 = 0 for b.
0
Suppose -5*z + 18 = -2. Solve 2*m = z*c, 5*c + 10 + 4 = -m for c.
-2
Let d = -21 + 23. Solve -d*j - 5*z - 11 = j, -5*j - z = -11 for j.
3
Let l(s) = s**2 - 2. Let o be l(2). Suppose -o*g + 1 = -3. Solve 8 - g = -2*q - 3*m, 0 = -5*m for q.
-3
Let w(v) = v**3 - 8*v**2 + 3*v - 10. Let n be w(8). Let h(m) = 2*m + 2. Let a be h(2). Suppose 2*l = a + n. Solve -8*r - 2*g = -3*r - l, -2*r = -g - 13 for r.
4
Suppose -s + 16 = 3*s. Let c(u) = u - 2. Let n be c(6). Let z = s - n. Solve 5*j = z, 3*y - 3*j + 4*j = -15 for y.
-5
Suppose -5*m = 4*y - 35, 2*y - 5*m + 0*m + 5 = 0. Solve 5*a + y = 5*r + 25, -2*r - 14 = 4*a for r.
-5
Let t(n) = n + 4. Let z be t(8). Solve 5*c - 3*y - z = -0, 2*c = -3*y - 12 for c.
0
Let g be 28*(-3)/(-12) + (-2)/1. Solve 0 = 2*c + 3*z - 1, 0 = -c - 5*z + 2 - g for c.
2
Let g = -7 + 21. Let u = 15 - g. Solve -u = -3*p - 5*v - 17, -2*p - 4 = 2*v for p.
3
Let w = 11 - 5. Solve -4*j + 0*u - 2*u = -12, 0 = 2*j - 4*u - w for j.
3
Let y be (1 + 0)*(-4 + 29). Let p = y + -20. Solve -2*v - p*b - 4 = 0, 0*b = v - 3*b - 9 for v.
3
Suppose -17*b - 5 = -18*b. Solve 5*s = d - 9 - 5, -b*d + 7 = -4*s for d.
-1
Let i = 10 - 8. Let f be -2 + 0 + 0 + 18. Solve -3*j - 6 = -i*c - 2, 0 = 4*j + f for c.
-4
Let q = -11 + 20. Suppose 0 = -2*w + 3 + q. Let l be 15/(-6)*4/(-5). Solve -3*r - 2 = -l*r + 3*b, -3*r - w = 3*b for r.
-2
Let y be ((-2 + 3)*0)/(-2). Solve 5*z + w = 2 + 10, -2*z + 5*w - 6 = y for z.
2
Let d(i) = -2*i - 14. Let u be d(-10). Suppose 0 = u*r - r - 180. Solve 0 = -5*l - 4*h - r, -14 = 2*l + 5*h + 14 for l.
-4
Let j = -17 + 18. Suppose 2*t - j = -5*i + 17, -4 = -2*t + 2*i. Solve t*a = a + 5*u - 25, -3*a = -u + 5 for a.
0
Let o(y) = -3*y**2 + 4*y**2 + 0*y**2 - 3*y**2 - y**3. Let s be o(-2). Suppose -2*w = -3*w. Solve -4*a + w*j + 16 = 3*j, s = -a
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{
"pile_set_name": "DM Mathematics"
}
|
Differentiate d(n) with respect to n.
-4*n
Suppose -17 = 4*q - 5*y, q = -0*q - 2*y + 12. Suppose -j = -0*j - q*t - 13, -5*j + 2*t = -25. Differentiate 0*m**j - 3 - 2*m**3 + 1 + 0*m**3 with respect to m.
-6*m**2
Let q be ((-1)/(-3))/(4/24). What is the second derivative of 3*i**2 + 0*i - q*i**2 + 2*i - 3*i wrt i?
2
Let y(s) = -17*s**2 + 7*s + 5. Let d(f) = 52*f**2 - 22*f - 16. Let k(a) = -5*d(a) - 16*y(a). What is the second derivative of k(u) wrt u?
24
Let s(q) = -q**4 + q**3 - q + 1. Let u(i) = 12*i**4 - i**3 + 14*i**2 + i - 1. Let k(a) = -s(a) - u(a). Find the third derivative of k(g) wrt g.
-264*g
Let l(d) be the second derivative of -5*d**7/14 + d**4/4 + 14*d. Find the third derivative of l(k) wrt k.
-900*k**2
Let s(y) = -y + 8. Let i be s(6). What is the third derivative of w**2 + 3*w**6 - 2*w**6 + 5*w**6 - 3*w**i wrt w?
720*w**3
Let k(b) = b**3 + 6*b**2 - 7*b + 5. Let l be k(-7). What is the second derivative of d**3 - 2*d + 3*d**l - d**3 wrt d?
60*d**3
Suppose -d - 1 = -c, -6*d + 5 = -3*c - d. Suppose -c = -2*g + 1. What is the third derivative of g*i**3 + 2*i**3 - 3*i**3 - i**2 wrt i?
12
Let g(r) be the second derivative of -2*r**6/3 + r**4 - 12*r. Find the third derivative of g(n) wrt n.
-480*n
What is the derivative of 3*z**4 - 2 - 10 + 20 - 4*z**4 wrt z?
-4*z**3
Let t(g) = g**3 + 7*g**2 - 9*g - 5. Let o be t(-8). What is the derivative of -1 - 1 + 4*b**o - b**3 + 1 wrt b?
9*b**2
Find the second derivative of -15*j**2 + 28*j**2 + j**2 - 17*j wrt j.
28
Let l(r) be the third derivative of -11*r**6/60 + 9*r**5/20 - 26*r**2. Find the third derivative of l(w) wrt w.
-132
Let z(c) = c**3 + 3*c**2 - 7*c - 6. Suppose -20 = 5*p - 0*p. Let y be z(p). What is the third derivative of 0*m**6 + m**2 + 0*m**2 - 3*m**y wrt m?
-360*m**3
What is the first derivative of 32*r - 20*r + 7 - 13*r wrt r?
-1
Let f = -15 - -30. Suppose 0 = 5*x - 0*x - f. Find the second derivative of -1 + 3*l + 1 - 6*l + x*l**4 wrt l.
36*l**2
Let c(k) = k**2 - k + 1. Let q(z) = -8*z**3 + 5*z**2 + 5. Let r(i) = -5*c(i) + q(i). What is the second derivative of r(l) wrt l?
-48*l
Let y(s) be the first derivative of s**8/560 + s**5/120 + s**3/3 - 3. Let a(i) be the third derivative of y(i). Find the second derivative of a(m) wrt m.
36*m**2
Find the third derivative of 0*h**4 + 5*h**2 + h**2 - 3*h**4 wrt h.
-72*h
Let o(r) be the first derivative of 2*r**4 + 7*r**2/2 - 13. What is the second derivative of o(j) wrt j?
48*j
Let g(n) be the first derivative of -9*n**2/2 - 3*n + 3. What is the first derivative of g(d) wrt d?
-9
Let n(o) be the first derivative of 2/3*o**3 + 6 + 0*o + 4*o**2. Find the second derivative of n(x) wrt x.
4
Let m = 23 + -19. What is the second derivative of -b**3 - m*b**3 + b + b + 3*b wrt b?
-30*b
Let u be -3 + -2 + 2 - -8. Find the third derivative of -4*o**2 - 4*o**2 + o**2 - u*o**4 wrt o.
-120*o
Let w(f) = -3*f + 6. Let m(u) = 3*u - 7. Let z(c) = -2*m(c) - 3*w(c). What is the derivative of z(b) wrt b?
3
Let n(m) = -m + 7. Let p(q) = q + 1. Let j(u) = -n(u) + 6*p(u). Let d(o) = -20*o + 3. Let a(w) = 4*d(w) + 11*j(w). What is the first derivative of a(c) wrt c?
-3
Let r(y) = -y. Let c = -1 + 3. Let f(h) = -1 + h + h + 0*h - 3*h. Let g(o) = c*f(o) - 3*r(o). Differentiate g(n) with respect to n.
1
Let f(y) be the first derivative of -y**6/120 + y**5/60 + 5*y**2/2 - 2. Let i(q) be the second derivative of f(q). What is the third derivative of i(a) wrt a?
-6
Suppose v = -2*g - 3, g = 3*g - 4*v - 12. Differentiate -6*k**4 + g*k**4 + 10 - 5*k + 5*k with respect to k.
-24*k**3
Find the second derivative of 6*z**2 - 13*z - 4 + 4 wrt z.
12
Let s(j) = -1. Let w(d) be the second derivative of d**3/2 - d**2/2 + d. Let y(k) = -s(k) - w(k). Differentiate y(t) wrt t.
-3
Let p(b) = -b**3 - 10*b**2 - 2*b - 14. Let j be p(-10). Find the first derivative of 3 + 7 - 4*i**3 - j wrt i.
-12*i**2
Let u(o) = -9*o**4 - 7*o**3 + 7*o**2 + 22. Let c(s) = 6*s**4 + 5*s**3 - 5*s**2 - 15. Let g(m) = 7*c(m) + 5*u(m). What is the first derivative of g(b) wrt b?
-12*b**3
What is the third derivative of 33 + 4*m**5 - 33 + 13*m**2 wrt m?
240*m**2
Let w(n) be the first derivative of 0*n + 0*n**5 - 2/3*n**6 + 4 + 0*n**4 + 0*n**3 + 3/2*n**2. What is the second derivative of w(b) wrt b?
-80*b**3
Let r(f) be the first derivative of f**3 - 11*f**2/2 - 5. What is the second derivative of r(g) wrt g?
6
Suppose 7 = t - 0. Find the second derivative of -52 - 6*y**2 + 52 + t*y wrt y.
-12
Let c(b) = 26*b**2 + 11*b + 2*b - b - b - 1. Let q(u) = -5*u**2 - 2*u. Let p(j) = 2*c(j) + 11*q(j). Differentiate p(n) with respect to n.
-6*n
Let h(p) be the first derivative of -16*p**7/7 - 4*p**3 - 11. Find the third derivative of h(z) wrt z.
-1920*z**3
Let m = 3 + 1. Let q = 7 - m. What is the derivative of -j**2 + 3*j - q*j + 2 wrt j?
-2*j
Let o(j) be the third derivative of j**8/28 + 5*j**4/24 - 4*j**2. Find the second derivative of o(l) wrt l.
240*l**3
Let s be (-46)/(-4) - 2/4. Let j be (-3)/(-5)*(s - 6). Differentiate -3*g + 3*g + j*g**3 - 3 with respect to g.
9*g**2
What is the derivative of -2 - 2 + 6*o**3 + 5 wrt o?
18*o**2
What is the second derivative of -6*h - 11*h**2 + 17*h + 21*h + 10*h wrt h?
-22
Let a(z) = 17. Let j(v) = -v**2 - 1. Let u(b) = a(b) - 2*j(b). What is the derivative of u(l) wrt l?
4*l
Let l(m) = m - 6. Let k be l(9). What is the third derivative of -15*d**2 + 7*d**2 + k*d**6 - 4*d**6 wrt d?
-120*d**3
Suppose 2*i = 7*i - 15. What is the second derivative of -2*f + f**i - 3*f**4 + 5*f - f**3 wrt f?
-36*f**2
Let f(y) be the second derivative of -2*y**7/105 + y**5/20 - 2*y**2 + 5*y. Let c(n) be the first derivative of f(n). Find the third derivative of c(t) wrt t.
-96*t
Let a(o) be the first derivative of -11*o**3/3 + 13*o**2 + 17. Find the second derivative of a(r) wrt r.
-22
Let v(z) be the second derivative of 13*z**4/12 + 7*z**3/6 + 5*z. What is the second derivative of v(n) wrt n?
26
Let t = -1 + 3. What is the derivative of 0 + t + 13*a - 8*a wrt a?
5
Let l(t) be the second derivative of 0*t**6 + 0*t**2 + 1/14*t**7 + 0*t**5 + 1/3*t**3 + 0 - t + 0*t**4. What is the second derivative of l(o) wrt o?
60*o**3
Let a(l) = 32*l - 21. Let n(z) = -63*z + 43. Let j(o) = -5*a(o) - 3*n(o). Differentiate j(t) with respect to t.
29
Suppose -2*g = -3*k - 21, 0*k - 3*k - 6 = 3*g. What is the third derivative of g*t**2 - 5*t**3 + 0*t**2 - t**3 + t**3 wrt t?
-30
Let i be (-10)/55 + 128/(-22). Let n be 3/(-9) - 14/i. Find the first derivative of -2*p**3 + 1 - p**2 + p**n wrt p.
-6*p**2
Suppose -a + 0*a - 12 = 0. Let k = -8 - a. What is the second derivative of j**3 - 3*j - k*j**5 - j**3 + 2*j**5 wrt j?
-40*j**3
Let i be 3/12 + 141/12. Suppose l + 2 - 9 = 5*k, 5*l - i = 2*k. Find the second derivative of 2*f - f**2 + l*f**2 - 2*f**2 wrt f.
-2
What is the derivative of -15 - 4*k**2 + 21*k**2 + 25 wrt k?
34*k
What is the second derivative of -26*o**5 - o + 3*o - 17*o**5 wrt o?
-860*o**3
Let a(t) be the first derivative of -4 + 2/3*t**3 + t**4 + 0*t**2 + 0*t. What is the third derivative of a(q) wrt q?
24
Let h(q) be the second derivative of 0 + 0*q**3 + 3/4*q**4 + 2*q**2 + 8*q. Find the first derivative of h(r) wrt r.
18*r
Let x(i) = 2*i**3 + 9*i**2 + 14*i. Let s(q) = q**3 + 4*q**2 + 7*q. Let t(d) = -9*s(d) + 4*x(d). What is the second derivative of t(j) wrt j?
-6*j
Let d(c) be the third derivative of c**8/1344 - c**6/360 - c**4/4 - 5*c**2. Let f(y) be the second derivative of d(y). Find the second derivative of f(g) wrt g.
30*g
Suppose 4*z + 0 = -12. Let w = 1 - z. Find the third derivative of 0*s**3 + w*s**2 - 2*s**3 - 5*s**2 wrt s.
-12
What is the derivative of -4 + 8 - 65*y**3 + 65*y**3 + 18*y**4 wrt y?
72*y**3
Suppose -2 = -5*g + 4*g. Differentiate -28*a + 15*a + 3*a**2 + 13*a + g wrt a.
6*a
Suppose 0 = 7*t - 3*t. Let x = 1 + t. What is the derivative of j**3 + 5*j - 5*j + x wrt j?
3*j**2
Suppose 0 = -5*l + 13 + 2. Find the third derivative of c**3 - 5*c**2 + 6*c**2 - 5*c**l + 5*c**2 wrt c.
-24
Suppose -5*m + 6 + 14 = 0. What is the second derivative of s**2 + 0*s - s**2 + m*s**4 - 2*s wrt s?
48*s**2
Let w(x) be the third derivative of -2*x**6/15 + x**5/30 + 9*x**2. What is the third derivative of w(h) wrt h?
-96
Let f(h) = -h**2 - 12*h + 9. Let a be f(-12). Find the second derivative of 5*m**2 + 3*
|
{
"pile_set_name": "DM Mathematics"
}
|
without replacement from jjjjjojpj. What is prob of sequence jp?
7/72
What is prob of sequence lls when three letters picked without replacement from {l: 2, s: 1, c: 1, t: 1}?
1/30
What is prob of sequence oo when two letters picked without replacement from qqqiqroorrrrurqqqro?
1/57
What is prob of sequence ibib when four letters picked without replacement from bibiiibiii?
1/20
Calculate prob of sequence booo when four letters picked without replacement from ooooooboooooooooio.
7/153
What is prob of sequence wh when two letters picked without replacement from {h: 3, o: 3, w: 1, t: 6, j: 5}?
1/102
What is prob of sequence apbb when four letters picked without replacement from bpbpbapabbabpbbb?
9/455
Two letters picked without replacement from izymxzxy. Give prob of sequence yz.
1/14
Calculate prob of sequence llg when three letters picked without replacement from gllgvgglvlglg.
10/143
Calculate prob of sequence dd when two letters picked without replacement from dddll.
3/10
Calculate prob of sequence uu when two letters picked without replacement from uuuiiieiuuuiuv.
3/13
Three letters picked without replacement from nxnnnnqhxnq. What is prob of sequence qnn?
2/33
Calculate prob of sequence php when three letters picked without replacement from spchcpc.
1/105
Calculate prob of sequence ep when two letters picked without replacement from {e: 1, d: 2, w: 1, p: 1, f: 1, m: 1}.
1/42
What is prob of sequence hx when two letters picked without replacement from {q: 2, h: 1, k: 2, x: 1, d: 1}?
1/42
Two letters picked without replacement from ooooaaa. What is prob of sequence aa?
1/7
Calculate prob of sequence hhhh when four letters picked without replacement from {h: 11, m: 1}.
2/3
What is prob of sequence jjjo when four letters picked without replacement from {j: 4, o: 7}?
7/330
Three letters picked without replacement from kllllk. Give prob of sequence kkl.
1/15
Two letters picked without replacement from usxyhxehhhyyhuu. Give prob of sequence hu.
1/14
What is prob of sequence qqa when three letters picked without replacement from qqqqqaqqqqqqq?
1/13
Three letters picked without replacement from {r: 5, j: 3, a: 2, e: 6, g: 1}. What is prob of sequence ejg?
3/680
Four letters picked without replacement from hhxffxxfxfh. Give prob of sequence xhfx.
1/55
Two letters picked without replacement from {u: 7, o: 4, s: 3, f: 4}. What is prob of sequence uu?
7/51
What is prob of sequence qam when three letters picked without replacement from {q: 1, f: 4, m: 1, v: 1, a: 2}?
1/252
What is prob of sequence ll when two letters picked without replacement from {l: 3}?
1
What is prob of sequence kk when two letters picked without replacement from {k: 7, c: 6}?
7/26
Calculate prob of sequence tu when two letters picked without replacement from oqizzut.
1/42
What is prob of sequence aay when three letters picked without replacement from ayay?
1/6
Three letters picked without replacement from {h: 2, b: 7}. What is prob of sequence hhb?
1/36
Four letters picked without replacement from drdbrrrddkddk. What is prob of sequence ddrr?
3/143
Four letters picked without replacement from blluuubuzzuuuu. What is prob of sequence blzl?
1/3003
Four letters picked without replacement from mdrrcmcdaddrodd. What is prob of sequence ddac?
1/546
Three letters picked without replacement from {f: 4, v: 6, j: 2}. Give prob of sequence fff.
1/55
Two letters picked without replacement from {d: 18, u: 1}. Give prob of sequence dd.
17/19
Four letters picked without replacement from wrrtwrwrffwvrfjjjj. What is prob of sequence fjrj?
1/408
What is prob of sequence yb when two letters picked without replacement from pbpyypoybpo?
3/55
What is prob of sequence ozo when three letters picked without replacement from ooooooooooooooz?
1/15
Calculate prob of sequence gb when two letters picked without replacement from {g: 2, a: 1, b: 2, c: 2, p: 1}.
1/14
What is prob of sequence qux when three letters picked without replacement from {o: 2, u: 1, x: 1, q: 1}?
1/60
Three letters picked without replacement from {n: 1, r: 1, m: 5, k: 3, c: 3}. Give prob of sequence kkk.
1/286
Three letters picked without replacement from dwwddwwwwwwwwdwwww. Give prob of sequence dwd.
7/204
Four letters picked without replacement from {d: 2, w: 1, o: 4, u: 5, s: 2, r: 1}. Give prob of sequence uwdd.
1/3276
Two letters picked without replacement from rrgrrggorrrorrrrr. What is prob of sequence or?
3/34
Three letters picked without replacement from wrbrwp. What is prob of sequence rwp?
1/30
Two letters picked without replacement from llzzzz. Give prob of sequence zz.
2/5
Three letters picked without replacement from {e: 4, g: 1, y: 2}. What is prob of sequence egy?
4/105
Two letters picked without replacement from okkhohkhokhh. What is prob of sequence ho?
5/44
Two letters picked without replacement from {y: 8, u: 3}. Give prob of sequence yu.
12/55
Three letters picked without replacement from ieiihzeieizezie. Give prob of sequence eeh.
2/273
What is prob of sequence gj when two letters picked without replacement from ggjghjjjj?
5/24
Three letters picked without replacement from igaivvaaaaagaaag. Give prob of sequence avi.
3/280
Calculate prob of sequence nznn when four letters picked without replacement from zznzzzzzznzzzzzn.
1/560
Calculate prob of sequence fa when two letters picked without replacement from abaaaafaa.
7/72
What is prob of sequence ew when two letters picked without replacement from riwtttevweee?
2/33
What is prob of sequence mgtg when four letters picked without replacement from {a: 1, t: 2, g: 2, m: 6, u: 5}?
1/1820
What is prob of sequence youx when four letters picked without replacement from {x: 2, o: 4, z: 6, y: 3, u: 1}?
1/1820
Four letters picked without replacement from {w: 1, r: 1, h: 2, k: 1, d: 2}. What is prob of sequence dhrd?
1/210
Two letters picked without replacement from {g: 4, j: 2, v: 1}. Give prob of sequence jj.
1/21
Two letters picked without replacement from clnqg. Give prob of sequence gc.
1/20
Three letters picked without replacement from kkkkkkkkkklkkkkkkkk. What is prob of sequence kkk?
16/19
Three letters picked without replacement from {e: 2, i: 7}. Give prob of sequence eii.
1/6
Calculate prob of sequence ggap when four letters picked without replacement from {a: 4, p: 1, g: 2}.
1/105
Two letters picked without replacement from {m: 1, t: 1, c: 2, n: 5}. Give prob of sequence nm.
5/72
What is prob of sequence gjl when three letters picked without replacement from {g: 1, l: 1, j: 2, s: 1, c: 2}?
1/105
What is prob of sequence fm when two letters picked without replacement from bfuumubu?
1/56
What is prob of sequence oo when two letters picked without replacement from wwoewoewowooweweo?
15/136
Calculate prob of sequence zii when three letters picked without replacement from {z: 1, i: 3, c: 1}.
1/10
What is prob of sequence um when two letters picked without replacement from mmccmcumcmmmcc?
1/26
Calculate prob of sequence yy when two letters picked without replacement from yyuzuyuuyzy.
2/11
Two letters picked without replacement from {a: 1, j: 1, y: 3, c: 4, f: 2}. Give prob of sequence af.
1/55
Three letters picked without replacement from nnq. Give prob of sequence qqn.
0
What is prob of sequence px when two letters picked without replacement from {x: 5, p: 5}?
5/18
Two letters picked without replacement from {m: 14, g: 5}. What is prob of sequence mm?
91/171
Calculate prob of sequence zq when two letters picked without replacement from {z: 1, i: 1, q: 1, l: 1, b: 1}.
1/20
Calculate prob of sequence krlf when four letters picked without replacement from nrrkkkhkrfll.
1/495
Calculate prob of sequence luvm when four letters picked without replacement from {m: 1, r: 3, u: 3, q: 8, v: 2, l: 1}.
1/12240
Four letters picked without replacement from lfufufnlunnufuvfnfuf. What is prob of sequence uulv?
1/1938
Calculate prob of sequence rr when two letters picked without replacement from {r: 3}.
1
What is prob of sequence pt when two letters picked without replacement from {g: 1, k: 6, t: 1, n: 3, p: 5, b: 1}?
5/272
Calculate prob of sequence vvvv when four letters picked without replacement from vvvvvv.
1
Three letters picked without replacement from {e: 16, a: 4}. What is prob o
|
{
"pile_set_name": "DM Mathematics"
}
|
second smallest value? (a) -4 (b) d (c) -0.2
c
Let o = -17693/47160 + 1/5895. What is the third biggest value in o, 9, 3, 0.3, -3?
0.3
Let r be -11*3/6*146/73. Which is the second biggest value? (a) 5 (b) r (c) 0.3 (d) 40 (e) 1
a
Let x = 225 + -225.412. Let m = -4.412 - x. Let w be 1*1/(-4) + 0. What is the second smallest value in 0.05, 0, m, w?
w
Suppose -102 = 18*c + 96. Let p be c/(-15) - 8/12. What is the biggest value in p, -3/4, -3?
p
Let z = 16159 - 80796/5. Let y be ((-4)/28)/(6/(-21)). What is the fourth smallest value in -2/11, y, 1, z?
1
Let z = -8601.014 + 8601. What is the second biggest value in -12, 3, z?
z
Let q = 36.4 + -40. Let z = q + 7.5. Let u = 4 - z. What is the second smallest value in 25, 0.3, u?
0.3
Let l = -0.0134 + 4.3134. Which is the second smallest value? (a) l (b) -4 (c) 1/3
c
Let r = 64 + -64.1. Let j = -0.341 - 3.659. Let v = -2.3 - 0.7. What is the smallest value in r, v, 8, j?
j
Let w = -11079.21 - -11011. Let t = -68 - w. Let r = t + -0.21. Which is the second smallest value? (a) -12 (b) r (c) 5
b
Let l = 2.1 - 2. Suppose 2888 + 2059 = 1262*b + 387*b. What is the second biggest value in b, l, 17?
b
Let k = 6 + -2. Let z be (-1)/(-3)*15 + 7/(28/(-17)). Which is the biggest value? (a) -4 (b) z (c) -0.1 (d) k
d
Let r be (7 + (-187)/22 - -1)*-4. Which is the biggest value? (a) r (b) -31 (c) 5
c
Let m = -281.77 - -285.77. Which is the fourth smallest value? (a) 0 (b) m (c) 3.4 (d) -2/15 (e) 2
c
Let s = -0.19112 - -0.08112. Which is the second smallest value? (a) 19/3 (b) 1 (c) s
b
Let j(p) = -p**2 + 8*p - 20. Let q be j(3). Let o = 483 - 485. Which is the smallest value? (a) -0.4 (b) q (c) 0.01 (d) o
b
Suppose 0 = -6*t - 0*t + 24. Suppose -7*q - t = -32. Let n = q - 4. Which is the third smallest value? (a) n (b) -1/2 (c) -0.4
a
Let z be (-234)/90 + (-37)/(-20). What is the second smallest value in -482, z, -2?
-2
Let h = -0.0141 + -0.2859. Let t = -21 + 25. Which is the fourth biggest value? (a) 0 (b) h (c) t (d) 1/4
b
Let o be (-1)/((4/8)/(7 + (-100)/8)). Which is the second smallest value? (a) 4 (b) -5 (c) 0 (d) o
c
Let f = 11.68 + -4.68. Which is the second smallest value? (a) f (b) -4 (c) -5 (d) -1
b
Let d = -1.33 - -134.33. Let w = d - 132.6. Which is the third smallest value? (a) 3/4 (b) 4.5 (c) w
b
Let j = -501 + 512. Let v = -50.3 + 50. What is the fourth biggest value in 0, -2/3, v, j?
-2/3
Let g = 186 - 131. Let d = -57 + g. What is the biggest value in 3, 4, d, 2/7?
4
Let y be 14 + (-528)/64 - (-7)/(21/(-18)). What is the biggest value in -708, -2, -5, y?
y
Let g = 6604 + -6602. What is the second biggest value in 5, g, -2, -1.5, -24?
g
Suppose -u + 30*g - 32*g + 5 = 0, -3*u + 14 = 5*g. What is the second biggest value in -0.5, -2, u, -106, 0.2?
0.2
Let v = -1058/11 - -96. Let z = -8 - -7.6. Let j be 2/8 - 84/208. What is the smallest value in 2/5, z, v, j?
z
Let c = 2042.283 + -2146.32. Let j = c - -0.037. Let f = 117 + j. What is the second biggest value in f, -1/4, -1?
-1/4
Let f = -2 - -6. Let t = 38.63 + -6.93. Let r = t + -31.2. What is the third smallest value in r, -3, f?
f
Let k(r) be the third derivative of -r**6/120 - 3*r**5/20 - 7*r**4/12 - r**3/3 - 31*r**2. Let d be k(-7). What is the biggest value in 0.2, -0.4, d?
0.2
Let p = -24.4 - -426.4. Let d = -409 + p. Which is the second biggest value? (a) -2 (b) d (c) 1
a
Let w = 32 - 414/13. Suppose 0 = -4*r - 4*h + 30 + 26, r + 4*h = -1. Let u be (r - 12) + (-78)/10. What is the biggest value in w, u, 1?
1
Let c = 30899/4 - 517569/67. Let j = c + -6/67. Let k = 3 + -3.1. What is the third biggest value in -1/3, j, k?
-1/3
Let b = -3716 - -3716.33. What is the smallest value in b, -4, 5?
-4
Suppose 64*j = -142 - 53 - 573. Which is the smallest value? (a) j (b) 33 (c) 2
a
Let t = 3159 + -3157. Which is the second smallest value? (a) t (b) 0.5 (c) 117 (d) 5
a
Let g = -1409 - -1408. Let m = 766/7 - 110. Which is the third biggest value? (a) m (b) -2 (c) 0 (d) g
d
Let z = -16547 + 16548. What is the third biggest value in -5, z, -3/62?
-5
Let z be ((-206)/(-21))/2 - (0 + (-35)/(-7)). What is the biggest value in z, 4, 3/4, 0?
4
Let z be 2*-2*3*1/36. Which is the fourth smallest value? (a) -4 (b) 4/139 (c) 3 (d) z
c
Let b = 1.401 + -2.401. What is the smallest value in 6, b, -2, 3?
-2
Suppose 2*h - 4 = 0, 216*g - 211*g - 8655 = -5*h. Let j = g + -1732. Let l be (-2)/((2/1)/2). What is the biggest value in j, l, 24/13?
24/13
Let x = -3742.9 - -3692.9. What is the smallest value in x, -0.6, 1?
x
Let q = 30091 + -30089. What is the third smallest value in -0.0226, q, 2/9?
q
Let h be (-1)/(-3*(-7)/(-42)). Let g(z) = 28*z**2 + 7*z - 16. Let n be g(h). Which is the second smallest value? (a) 1 (b) 1/2 (c) n
a
Let a = -295 - -294. Let s = -35 - -38. What is the biggest value in 1, -1/10, a, s?
s
Suppose -12 = -6*l - 0. Suppose -4*t + 6*t = -4*y + 10, -l*y = 2*t - 10. Suppose 2*u + u = 3, t*d + 28 = 3*u. What is the biggest value in 1, 0, d?
1
Let w = -44.5 + 266.5. Let k = w + -238. What is the second biggest value in 1, k, -4?
-4
Let x be 530/(-50) - (5/2)/(6/(-12)). What is the second biggest value in -0.1, x, 3?
-0.1
Suppose 2*j - 5*f + 16 = -f, 4*j + 4*f - 16 = 0. Let o = -391/72 + 50/9. Which is the second biggest value? (a) 0.2 (b) o (c) j
b
Let o be 2/(-6)*1506/(-5). Let n = 101 - o. Let r = 42862.3 - 42862. What is the fourth biggest value in r, n, 2/7, 0.1?
0.1
Suppose -5*j + 17 = -2*u, 4*j + 64*u = 67*u + 22. Let r = 13 + -9. Let b = -4 + 4. What is the fourth biggest value in 2/15, r, b, j?
b
Let f = -0.54 + -19.46. Let t = 20.4 + f. Which is the third biggest value? (a) 0.031 (b) 4 (c) t
a
Let f = 67.58 + -71.58. Which is the biggest value? (a) -0.4 (b) -2/9 (c) 5 (d) f (e) 0.2
c
Let z = -6136 - -6136.0136. What is the second smallest value in -4, 2/9, 4, z?
z
Let j(r) = -r**3 - 31*r**2 - 255*r - 515. Let k be j(-19). Let z = -12/25 - -23/100. Which is the third biggest value? (a) z (b) 0.3 (c) k (d) -1/3
d
Let h = 305827/8 - 38068. Let k = h - 160. Let f be (-2 - 110/(-52))*156/117. Which is the second biggest value? (a) -1 (b) k (c) f (d) 2
b
Let l = -10 + 9.5. Let j be -1 + 4 + (-2159)/(-17). Let n = j - 125. What is the smallest value in l, -3/7, n?
l
Let f = 10 + -8.9. Let j = f + -1. Let z = -22.343 + 22.323. Which is the biggest value? (a) z (b) 2 (c) j
b
Let s = 2459.1 - 2459. What is the smallest value in -4/5, s, 10, -7, -2?
-7
Let d be 1/(2/6) + (-60)/10. Suppose 5*x = -r - 22, -3*x + 2*x + 10 = 5*r. Which is the smallest value? (a) r (b) 4 (c) d
c
Let w = -0.0511 - -0.4511. What is the fourth biggest value in -2, 25, -3/7, w?
-2
Let q = 4582.94 + -4538. Let m = q + -45. What is the second smallest value in 0.2, m, -13?
m
Suppose -6*g + 207 = 39. Let s be 56/28 + -3*(g + 0). What is the third biggest value in s, -1/6, -5?
s
Let s = -0.42 + 0.02. Let u = 4.66 + -4.4. Let f = 3893 + -3893.5. Which is the second smallest value? (a) u (b) s (c) f
b
Let g be 0*(-1)/(-3) + (-6744)/135. Let i = g + 887/9. Let m = 49 - i. What is the third smallest value in -2/15, m, -0.2?
m
Suppose n - 5*v - 13 = -40, -3*v = -4*n - 23. Let r = 7051 + -7046. Which is the biggest value? (a) 0 (b) r (c) n (d) -3
b
Let v = 39016.7 - 39016. Suppose -3*g - 2*g = -15. Which is the biggest value? (a) g (b) v (c) -1 (d) 4/5
a
Let i = 6281.6 + -6282. Let m = 0.8 - 1. Let h = 0 + m. Which is the fourth smallest value? (a) i (b) 1/8 (c) -6 (d) h
b
Let h = -4732 - -4731.92. Which is the fourth smallest value? (a) 1/6 (b) -0.3 (c) h (d) 3/7
d
Let i be (71/63)/((-66)/9). Let p = i + -1/77. Let j = 3453.89 + -3454. Which is the third biggest value? (a) j (b) p (c) -2/5
c
Let m = -8217 - -8218.57. Which is the third biggest value? (a) m (b) 2 (c) -5
c
Let a = 4.4 + 1.8. Let b = -6 + a. Let z = -4.7487 - 0.2513. What is the third smallest value in b, z, -2/5, 0?
0
Let r = 5256 + -5252. Let v be (-16)/(-7) + 16/(-56). What is the fourth biggest value in -3/4, r, v, 2/7?
-3/4
Let k = 1/946 - 475/1892. Which is the second smallest value? (a) k (b) -1669 (c) -5
c
Let f = 9 - 10.4. Let c = -951101/3 + 317033. What is the fourth biggest value in c, 4,
|
{
"pile_set_name": "DM Mathematics"
}
|
to l + v*o and give v.
-449
Express (-5 + 2 + 0)*(-57 - 58 + 33)*(r**3 + 1 - 1) as n*r**2 + i + c*r**3 + x*r and give c.
246
Express -247*p**3 - 249*p**3 - 12 + 502*p**3 in the form q*p**2 + m + o*p + n*p**3 and give n.
6
Rearrange -m**2 + 0*m - 22*m**2 - m + 13*m**2 - 3*m**4 + m**3 to l*m + k + w*m**3 + c*m**2 + y*m**4 and give w.
1
Rearrange 36*y**2 - 22*y**2 + 27*y**2 + 27*y**2 + (4 + 2 - 3)*(4*y**2 - 4*y**2 - 2*y**2) to the form g*y + m*y**2 + s and give m.
62
Rearrange -29*u + 2*u**3 - 160*u**2 + 48*u**2 - 5*u**3 + u**3 + 31*u - 1 to k*u**2 + w + v*u + j*u**3 and give w.
-1
Express -559*t - 1 + 0 + 1 + 1529*t as u + v*t and give v.
970
Rearrange 101*u**2 - 151 - 7*u**2 + 142 to m*u**2 + y*u + x and give x.
-9
Rearrange (5 - 5 - 2*r**2)*(-r + 0*r + 4*r)*(3 + 1 - 3)*(11 + 8 + 8) to the form s*r**2 + t*r + o*r**3 + l and give o.
-162
Rearrange (-c + 0 + 0)*(-4 + 2 + 3) - 2*c + c - c + (-c - 3*c + 2*c)*(0 + 3 - 5) - 2*c - 79*c - 18*c to the form g*c + t and give g.
-98
Express -69 + 6*q - q - q - 3*q in the form l + z*q and give z.
1
Rearrange -7*s**4 - s**3 + 24*s**2 + 7*s - 21*s**2 - 31*s**4 - 2*s**2 to c*s**3 + g + b*s + f*s**4 + o*s**2 and give c.
-1
Express 42*d**4 - 21*d**4 - 2*d**2 - 1 - 23*d**4 - 6*d + 1 as u + w*d + n*d**3 + i*d**2 + q*d**4 and give i.
-2
Express 13*d**3 + 47*d**3 - 14*d**3 + (5 - 5 - 2*d)*(-2*d**2 - d**2 - d**2) in the form z*d**2 + p + y*d**3 + s*d and give y.
54
Rearrange (3 - 1 + 0)*(3 + 4 - 5)*(a + 0*a + a + (1 + 2 - 2)*(a + a - 3*a)) + (0*a - 2*a - a)*(-5 + 1 + 1) to the form z*a + y and give z.
13
Rearrange 5053*q**3 + 76 - 2520*q**3 - 2527*q**3 + 13 to i*q + m*q**2 + z*q**3 + b and give b.
89
Express 148154 - 30*g**2 - 148154 + 16*g in the form m*g**2 + h*g + s and give m.
-30
Rearrange -2 + 270*x**2 - 5 - x**3 + x - 262*x**2 + 5 to d*x**2 + y*x**3 + o + w*x and give d.
8
Express -294*y - 411*y + 206*y - 958*y in the form d*y + i and give d.
-1457
Rearrange (-14 - 4 + 210)*(-6*j + 0*j + 3*j) to the form u*j + v and give u.
-576
Express (3*u**2 - 3*u**2 - 2*u**3)*(-2 - 3 + 7 + (114 - 256 - 242)*(-2 + 0 + 1)) as g*u**2 + b*u**3 + x*u + t and give b.
-772
Express (-x**2 - 3*x + 3*x)*((2*x + 4 - 4)*(14 - 6*x - 14) + 3*x**2 + 4 - 4) in the form a*x**2 + r*x**3 + u*x**4 + b*x + j and give u.
9
Express -35*b**2 + b**4 - 2*b**3 + b - 2 - 6*b + 35*b**2 as d + t*b**4 + s*b + f*b**2 + x*b**3 and give d.
-2
Rearrange 64*u**2 - 174*u + 3 - 177*u + 351*u to l*u + a*u**2 + j and give a.
64
Rearrange 21 - 1 - 9 - 4 + 16*u to s*u + l and give s.
16
Rearrange 0*r**2 - 13*r + 47*r - 1 + 12*r**2 - 21*r to j + l*r**2 + p*r and give p.
13
Express 0*u**3 - 2*u**2 + 8906*u**4 - u - 8908*u**4 + 2*u**3 + 7 as p*u**3 + b*u**4 + a*u + h + o*u**2 and give a.
-1
Rearrange (2*c**3 - 2*c**3 + 3*c**3)*(-3 + 3 + 6*c) + 3 - 21*c**2 - 2*c**4 + 24*c**2 + 0*c**4 to the form f*c + j*c**4 + n + l*c**2 + k*c**3 and give l.
3
Express -65*v**2 - 6*v**2 - 25*v**2 - 16*v**2 in the form g + w*v + q*v**2 and give q.
-112
Rearrange 4*a**2 + 72 - a**3 - 71 + a**2 + 17*a**2 + 0*a**2 to the form x + b*a**2 + u*a + r*a**3 and give x.
1
Rearrange -1616*j - 609*j - 370*j - 628*j + 703*j to c + k*j and give k.
-2520
Express (-1 - 1 + 3)*(u**3 - u**3 + u**3) + 129 - 124 - 16*u**3 + 124*u**3 in the form r + j*u**3 + b*u**2 + n*u and give r.
5
Express 11*u - 9*u + 5 - 3*u**2 + 12*u**4 + 0*u**4 - 5 - 2*u**3 as w*u**4 + n*u**3 + d*u + m + j*u**2 and give w.
12
Express -2 + 2*b**2 - 494*b**3 - 494*b**3 - 4*b + b**4 + 985*b**3 as g*b**2 + m + t*b + d*b**3 + p*b**4 and give d.
-3
Rearrange -3 - 7*b**3 + 6*b - 14 - 5*b + 3*b**4 + 6*b**3 to r*b**4 + q*b + x + u*b**2 + g*b**3 and give x.
-17
Rearrange (-3*s + 5*s - s)*(-16465 - 1213*s + 16465)*(-1 + 1 - 2) to t*s + w + y*s**2 and give y.
2426
Rearrange (0*d - d - d)*(-182*d - 917 + 917) to the form c + b*d**2 + a*d and give a.
0
Rearrange 5*v + 24*v + 30*v + (0 + 3 - 1)*(-v + 2 - 2) + (-1 - 1 + 1)*(3*v - v + 0*v) + 2*v - v - 3*v + 0*v - v - v + 3*v + 3*v - 4*v to z + o*v and give o.
53
Rearrange (11 + 15 - 2)*(3*u**4 + 4*u**4 - 3*u**4) + u**4 - 7*u**4 + 3*u**4 to the form g*u + l*u**4 + k + n*u**3 + d*u**2 and give l.
93
Rearrange ((5 - 22 - 4)*(2*u + u - 5*u) + 28*u - 26 + 26)*(3 - 3 - 2*u) to x*u**2 + b*u + m and give x.
-140
Rearrange (s - 72 + 3417*s**2 + 3421*s**2 - 6836*s**2)*(-2*s**2 + 2*s**2 + 2*s**2) to t + k*s**3 + z*s**4 + w*s**2 + v*s and give w.
-144
Rearrange -36*m - 1 - 19*m + 2 + 9*m to c*m + d and give c.
-46
Rearrange 32*u - 37*u + 2*u + 2 - 96*u to the form n + o*u and give n.
2
Rearrange ((-1 - 6 + 5)*(4 + 1 - 2) + 2 + 4 - 5 + (-4 + 6 + 6)*(0 + 0 + 2))*(0*a**3 - 2*a**3 - 2*a**3) to the form v*a + t + m*a**2 + d*a**3 and give d.
-44
Rearrange -2 + 1108*q**2 + 2 - 943*q**2 + 1724*q**2 + (-2*q - 4 + 4)*(-2*q + 3*q - 3*q) to o + k*q + m*q**2 and give m.
1893
Rearrange 4*v**2 + 67*v + 3 + 0 - 27*v - 6*v**2 to l + b*v**2 + k*v and give k.
40
Rearrange 13*t + 10*t**2 - 30*t + 2*t**3 + 15*t + 15*t**2 to the form i*t**2 + j*t**3 + c + n*t and give i.
25
Rearrange 51 + 485*d - 97 + 46 to y + b*d and give b.
485
Express (1 + 0 + 0 + (2 - 1 + 1)*(0 + 1 + 0))*(0 - 3*b + 0)*(15 - 4 - 9)*(2 - 1 + 1) in the form g + v*b and give v.
-36
Express -36*b**4 - 2*b**2 + 2 - 3 + 6*b**2 + 34*b**4 + 16*b - 3*b**2 as g*b**4 + m*b + o*b**3 + l + d*b**2 and give g.
-2
Rearrange 118*r - 101*r - 523*r to the form i*r + w and give i.
-506
Express (-108*d + 9*d**2 + 108*d)*(-d + 0*d - d + (1 + 2 - 4)*(-1 + 1 - 5*d)) as z*d**2 + h*d + m + t*d**3 and give t.
27
Rearrange 249*l**4 + l**3 - 44*l**2 - 6*l + 46*l**2 + 6*l - 228*l**4 to the form z*l**2 + c*l**4 + w*l**3 + q + f*l and give c.
21
Rearrange -14*i**2 - 38 - 5*i - 8 + 44 - 2*i to the form n*i + m + s*i**2 and give n.
-7
Express p + 0 + 0 + (35*p + 25*p - 7*p)*(-2 + 5 - 2)*(-2 + 7 + 10) in the form u*p + x and give u.
796
Rearrange 272*t**2 + 2*t - 4 + 310*t**2 - 8 - 577*t**2 + 2*t**3 + 5*t**4 to the form d + b*t**2 + n*t**4 + u*t**3 + z*t and give n.
5
Rearrange -15*d - 9*d - d + 6*d - d - 4 to y + t*d and give y.
-4
Express -6*u**2 - 8*u**2 - 4*u**2 - u**2 - 4*u + 4*u + (5 - 4 - 2)*(5*u**2 - 4*u**2 + u**2) + u**2 + 0*u**2 + 0*u**2 in the form d*u**2 + p + a*u and give d.
-20
Express -3*w**2 - 7 + 0 + 3 - 3*w + 2*w**3 in the form g + t*w**2 + o*w**3 + q*w and give q.
-3
Rearrange r**4 - 4*r**2 + 2*r**4 - 5*r**4 + (-4*r + 74*r - 35*r)*(3*r**3 - 2*r**3 + r**3) to h*r**3 + z*r**2 + t*r + f + o*r**4 and give o.
68
Express -1139 + 128*b**2 + 1139 as l + p*b + c*b**2 and give c.
128
Rearrange 13*x + 931*x**3 - 7*x - x**2 - 928*x**3 + 1 to the form c*x**3 + i + j*x**2 + m*x and give c.
3
Rearrange (-2 - 1 + 4)*(-5*w + 4*w + 2*w)*(19 - 107 - 61) to the form b*w + c and give b.
-149
Express -316 - 6*o - 5*o + 12*o - 3*o as g + h*o and give h.
-2
Rearrange (0 - 2 + 9)*(-2*l + 0*l + 3*l - 2*l + 3 - 3 + (0*l - l + 0*l)*(0 + 2 + 0) + 11*l + 4*l - 3*l)*(0*l - l - 2*l) to the form b + t*l + i*l**2 and give i.
-189
Express (-584*r - 150*r - 200*r)*(3*r**2 + 0*r**2 - 2*r**2) in the form s*r + f + p*r**3 + x*r**2 and give p.
-934
Express 22*w**2 - 22*w**2 - 34*w**4 + (-w**2 + w**2 - 5*w**2)*(-w**2 + 4 - 4) as o*w + u*w**4 + l*w**3 + k*w**2 + q and give u.
-29
Rearrange (0*g**2 - g**2 - 2*g**2)*(9*g - 3*g - 2*g)*(-3 - 2 + 2) to l + b*g**3 + i*g + q*g**2 and give b.
36
Rearrange -4*g - 3*g - 25*g + 2*g - 32*g to f + c*g and give c.
-62
Rearrange (36*n**2 - 53*n**2 - 71*n**2)*(-2*n + n - 2*n) to the form w*n**2 + k + c*n + m*n**3 and give m.
264
Express (-48*d - 32*d + 133*d)*(-5 + d + 5 + (-3 + 2 - 1)*(-3*d + 3*d - 2*d) - 2*d + 5*d - 2*d + 0 + 0 - d) as u + b*d + f*d**2 and give u.
0
Rearrange 2*w**3 - 11*w**2 - 3 - 423*w - 427*w + 1268*w - 422*w to the form s*w + o + l*w**2 + k*w**3 and give o.
-3
Rearrange 4106*n**2 - 8214*n**2 + 4110*n**2 - 2*n**3 + 16 + n**4 to h*n + c*n**2 + a*n**3 + r*n**4 + m and give a.
-2
Rearrange -499*i**2 - 22*i**2 + 27*i**2 - 194*i**2 - 427*i**2 to v*i**2 + l + s*i and give v.
-1115
Express (-157 + 12 - 62)*(-3 + p + 3)*(p - 3*p + 0*p) in the form l*p + h + f*p**2 and give f.
414
Express 6124*m + 26 - 26 - 5122*m + (-3 + 2 - 1)*(4*m + 0*m - 3*m) as s + r*m and give r.
1000
Rearrange 650*q + 3*q**2 - 3*q**2 - 673*q - q**2 to y + t*q + a*q**2 and give y.
0
Rearrange (3
|
{
"pile_set_name": "DM Mathematics"
}
|
21812?
-c**2 - 31*c + 21952
What is the o'th term of -263, -273, -301, -353, -435, -553?
-o**3 - 3*o**2 + 6*o - 265
What is the b'th term of 1059, 1086, 1137, 1212, 1311?
12*b**2 - 9*b + 1056
What is the x'th term of -73750, -73761, -73772, -73783?
-11*x - 73739
What is the g'th term of -373, -491, -609?
-118*g - 255
What is the g'th term of 438, 1765, 3978, 7077, 11062, 15933, 21690?
443*g**2 - 2*g - 3
What is the r'th term of 336, 227, 120, 15, -88, -189, -288?
r**2 - 112*r + 447
What is the k'th term of 59924, 59800, 59674, 59546, 59416, 59284?
-k**2 - 121*k + 60046
What is the p'th term of -3649, -3601, -3555, -3511, -3469, -3429, -3391?
-p**2 + 51*p - 3699
What is the k'th term of 4353138, 4353137, 4353136?
-k + 4353139
What is the d'th term of 2807, 5616, 8421, 11222, 14019, 16812?
-2*d**2 + 2815*d - 6
What is the b'th term of 404, 1690, 3854, 6896, 10816?
439*b**2 - 31*b - 4
What is the k'th term of -36676, -73350, -110024, -146698?
-36674*k - 2
What is the b'th term of 13, 111, 329, 697, 1245, 2003, 3001, 4269?
5*b**3 + 30*b**2 - 27*b + 5
What is the h'th term of -2255, -2235, -2189, -2105, -1971, -1775, -1505?
2*h**3 + h**2 + 3*h - 2261
What is the r'th term of 138, -48, -552, -1380, -2538?
-r**3 - 153*r**2 + 280*r + 12
What is the y'th term of 124, 83, 34, -23?
-4*y**2 - 29*y + 157
What is the i'th term of -2477, -5789, -9101, -12413?
-3312*i + 835
What is the d'th term of 52490, 52483, 52462, 52421, 52354, 52255, 52118?
-d**3 - d**2 + 3*d + 52489
What is the z'th term of 7640, 30693, 69122, 122933, 192132?
z**3 + 7682*z**2 - 43
What is the a'th term of -555, -543, -531?
12*a - 567
What is the m'th term of -3363, -3314, -3275, -3252, -3251, -3278?
-m**3 + m**2 + 53*m - 3416
What is the z'th term of -1443, -2887, -4331, -5775, -7219, -8663?
-1444*z + 1
What is the h'th term of -980, -2011, -3042, -4073?
-1031*h + 51
What is the b'th term of -716, -2849, -6398, -11363?
-708*b**2 - 9*b + 1
What is the o'th term of -1068, -2089, -3104, -4119, -5140, -6173, -7224, -8299?
-o**3 + 9*o**2 - 1041*o - 35
What is the t'th term of 1480, 5977, 13488, 24013?
1507*t**2 - 24*t - 3
What is the r'th term of 1255, 1307, 1357, 1405, 1451?
-r**2 + 55*r + 1201
What is the i'th term of -239, -256, -291, -350, -439, -564, -731, -946?
-i**3 - 3*i**2 - i - 234
What is the z'th term of 2147, 8287, 18529, 32879, 51343?
z**3 + 2045*z**2 - 2*z + 103
What is the h'th term of -1134, -1135, -1136, -1137, -1138, -1139?
-h - 1133
What is the y'th term of -389, -1611, -3653, -6521, -10221?
-y**3 - 404*y**2 - 3*y + 19
What is the o'th term of -3042, -3027, -3012, -2997, -2982?
15*o - 3057
What is the g'th term of -2745, -5521, -8297?
-2776*g + 31
What is the v'th term of 2754, 5219, 7684, 10149, 12614, 15079?
2465*v + 289
What is the g'th term of 208, 445, 736, 1099, 1552, 2113, 2800?
3*g**3 + 9*g**2 + 189*g + 7
What is the s'th term of -12, -1189, -4382, -10599, -20848, -36137?
-168*s**3 - s + 157
What is the n'th term of -108, -508, -910, -1314, -1720, -2128, -2538?
-n**2 - 397*n + 290
What is the j'th term of -49341, -197381, -444115, -789543, -1233665, -1776481, -2417991?
-49347*j**2 + j + 5
What is the w'th term of -28, -160, -496, -1132, -2164, -3688, -5800, -8596?
-16*w**3 - 6*w**2 - 2*w - 4
What is the b'th term of 414, 855, 1296, 1737, 2178, 2619?
441*b - 27
What is the a'th term of 185632, 185634, 185636, 185638?
2*a + 185630
What is the c'th term of 351, 191, 27, -141, -313, -489?
-2*c**2 - 154*c + 507
What is the y'th term of 1771, 2885, 3999?
1114*y + 657
What is the q'th term of -13138, -26210, -39284, -52360, -65438, -78518, -91600?
-q**2 - 13069*q - 68
What is the t'th term of 25, -7, -159, -491, -1063, -1935, -3167?
-10*t**3 + 38*t - 3
What is the v'th term of -141230, -282482, -423734, -564986, -706238, -847490?
-141252*v + 22
What is the g'th term of 10109, 20220, 30333, 40448, 50565?
g**2 + 10108*g
What is the o'th term of 125, 549, 1269, 2291, 3621, 5265?
o**3 + 142*o**2 - 9*o - 9
What is the s'th term of -63, -100, -183, -312, -487, -708, -975?
-23*s**2 + 32*s - 72
What is the x'th term of 275151, 275148, 275145?
-3*x + 275154
What is the a'th term of -36430, -72863, -109296, -145729, -182162?
-36433*a + 3
What is the z'th term of 2242145, 2242144, 2242143, 2242142, 2242141?
-z + 2242146
What is the h'th term of 49301, 49319, 49337, 49355, 49373?
18*h + 49283
What is the d'th term of 104, 203, 294, 377, 452, 519, 578?
-4*d**2 + 111*d - 3
What is the p'th term of 539, 524, 509, 500, 503, 524?
p**3 - 6*p**2 - 4*p + 548
What is the r'th term of 68879, 275610, 620161, 1102532?
68910*r**2 + r - 32
What is the a'th term of -857, -849, -837, -821, -801?
2*a**2 + 2*a - 861
What is the u'th term of 65101, 130198, 195295, 260392?
65097*u + 4
What is the y'th term of -1657, -6607, -14853, -26395, -41233?
-1648*y**2 - 6*y - 3
What is the r'th term of 3032, 6121, 9210, 12299, 15388, 18477?
3089*r - 57
What is the r'th term of 231, 903, 2009, 3537, 5475, 7811?
-2*r**3 + 229*r**2 - r + 5
What is the l'th term of -327, -355, -401, -465, -547, -647?
-9*l**2 - l - 317
What is the q'th term of 2087, 4611, 7135?
2524*q - 437
What is the c'th term of -10575, -10588, -10601, -10614, -10627?
-13*c - 10562
What is the u'th term of 32, 24, 16?
-8*u + 40
What is the q'th term of 3017889, 6035776, 9053663, 12071550, 15089437, 18107324?
3017887*q + 2
What is the q'th term of -3702, -5483, -7262, -9039, -10814, -12587?
q**2 - 1784*q - 1919
What is the m'th term of -1999, -2009, -2023, -2041, -2063, -2089?
-2*m**2 - 4*m - 1993
What is the d'th term of -4979, -4982, -4989, -5000, -5015?
-2*d**2 + 3*d - 4980
What is the a'th term of 297663, 297664, 297665, 297666, 297667?
a + 297662
What is the c'th term of -29716, -59427, -89138?
-29711*c - 5
What is the y'th term of -8139, -16280, -24421, -32562?
-8141*y + 2
What is the w'th term of 2238, 8973, 20198, 35913, 56118, 80813?
2245*w**2 - 7
What is the l'th term of 671, 700, 729, 758?
29*l + 642
What is the g'th term of 743, 1457, 2143, 2801, 3431, 4033?
-14*g**2 + 756*g + 1
What is the r'th term of 45, 47, 47, 45, 41, 35?
-r**2 + 5*r + 41
What is the c'th term of 220047, 220042, 220037, 220032, 220027, 220022?
-5*c + 220052
What is the p'th term of 294, 111, -194, -621, -1170?
-61*p**2 + 355
What is the s'th term of 856, 1575, 2294, 3013, 3732?
719*s + 137
What is the f'th term of 88, 1045, 2812, 5383, 8752?
-f**3 + 411*f**2 - 269*f - 53
What is the l'th term of 2339, 9349, 21041, 37421, 58495, 84269?
l**3 + 2335*l**2 - 2*l + 5
What is the m'th term of 783, 1000, 1217?
217*m + 566
What is the h'th term of 21, 24, -1, -54, -135?
-14*h**2 + 45*h - 10
What is the l'th term of 9555, 19119, 28685, 38253, 47823?
l**2 + 9561*l - 7
What is the a'th term of -6, 23, 56, 93, 134, 179, 228?
2*a**2 + 23*a - 31
What is the y'th term of 276122, 552245, 828368?
276123*y - 1
What is the l'th term of 591719, 591737, 591765, 591809, 591875, 591969?
l**3 - l**2 + 14*l + 591705
What is the z'th term of -108, -190, -248, -282?
12*z**2 - 118*z - 2
What is the u'th term of -274, -295, -68, 407, 1130, 2101?
124*u**2 - 393*u - 5
What is the l'th term of 22, 26, 24, 10, -22, -78?
-l**3 + 3*l**2 + 2*l + 18
What is the w'th term of 1099, 1333, 1563, 1789?
-2*w**2 + 240*w + 861
What is the n'th term of 496, 666, 836, 1006?
170*n + 326
What is the q'th term of -2346, -2367, -2416, -2505, -2646, -2851, -3132, -3501?
-2*q**3 - 2*q**2 - q - 2341
What is the b'th term of -279, -1954, -3629, -5304, -6979, -8654?
-1675*b + 1396
What is the m'th term of 2848, 12068, 27426, 48916, 76532, 110268, 150118, 196076?
-m**3 + 3075*m**2 + 2*m - 228
What is the k'th term of 919994, 919984, 919960, 919916, 919846?
-k**3 - k**2 + 919996
What is the q'th term of -8, -122, -410, -944, -1796, -3038?
-12*q**3 - 15*q**2 + 15*q + 4
What is the z'th term of -109303, -218609, -327915, -437221, -546527, -655833?
-109306*z + 3
What is the p'th term of -630230, -1260461, -1890694, -2520929, -3151166?
-p**2 - 630228*p - 1
What is the q'th term of -159, -333, -535, -777, -1071, -1429, -1863, -2385?
-2*q**3 - 2*q**2 - 154*q - 1
What is the m'th term of 41, 166, 397, 752, 1249, 1906, 2741, 3772?
3*m**3 + 35*m**2 - m + 4
What is the a'th term of 46651, 93304, 139957?
46653*a - 2
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
et w be c - -5 - (6 - 3). Suppose 3*f = -w*f + 72. What is the tens digit of f?
2
Let p = -14 - -16. Let i(n) = -7 - 2*n**2 + 14*n - 2*n**2 - 6 + 3*n**p. What is the units digit of i(12)?
1
What is the units digit of 99 + (1 - 3*(-10)/(-6))?
5
Let w = -2 - 0. What is the tens digit of (-977)/(-13) + w/13?
7
Let q(s) = -25*s - 40. What is the tens digit of q(-5)?
8
Suppose -4*v + 3*q = -10663, -390 = -4*v - 2*q + 10268. What is the units digit of v?
5
Suppose 4*v - 8 + 24 = 5*s, -4*s + 2*v = -14. Suppose 0 = -s*f + 4, -226 = -5*u - 0*u + 4*f. What is the units digit of u?
6
Let n(d) = 3*d - 1. Let k be n(5). Let j = k - -41. What is the tens digit of j?
5
Let j = -96 + 183. Suppose j = f - 9. What is the tens digit of f?
9
Suppose -54 = 3*f + 5*h, 5*f + 4*h = -23 - 54. Let v(s) = s**3 + 12*s**2 - 13*s. Let l be v(f). Suppose -k - 3 + 10 = l. What is the units digit of k?
7
Let c = 4 - 10. Let t be 8/c*(-4 + 1). What is the units digit of 255/11 - t/22?
3
Let m(c) = c**3 - 17*c + 20. Suppose 2*r - 28 = -16. What is the units digit of m(r)?
4
Suppose 30646 = -93*l + 115*l. What is the units digit of l?
3
Suppose -36 = 2*k - k. Let m be k - 0/(-1 + 4). Let j = 53 + m. What is the units digit of j?
7
Let r(v) = -v - 40. Let d be r(0). What is the units digit of (6/(-4))/(2/d)?
0
Let g(k) = k**2 + 3*k + 12. Let z be g(-7). Let r = z - -100. What is the units digit of r?
0
Let c = 106 - 96. What is the units digit of 28/c*(5 + 0)?
4
Suppose 0*m + 4*m - 912 = 0. Suppose -4*p = -0*p - m. What is the tens digit of p?
5
Let u(p) = -p**2 + p. Let q(h) = 4*h**2 + 18*h - 14. Let m(x) = -q(x) - 3*u(x). Let w be m(-15). Let o = w + -31. What is the tens digit of o?
7
Let p be (-2)/10 + 172/10. Suppose -2*w - 16 = -j, 4*w + 21 = 3*j - 7. Let m = w + p. What is the units digit of m?
7
Let v(w) = w**2 - 4*w + 85. What is the hundreds digit of v(-18)?
4
Let g = 17 + -12. Suppose -2 + 112 = g*o. Suppose -17 - o = -3*i. What is the tens digit of i?
1
Suppose -8*g + 11*g = 0. Let w be (-2 + g)*(-6)/4. Suppose -134 = -5*r + w*c + 3, -3*c + 143 = 5*r. What is the tens digit of r?
2
Let n be -4*((-57)/6 + 3/6). Let b = -12 + 28. Let h = n - b. What is the tens digit of h?
2
Suppose 4*y = -3*i + 2000, -y + 2*i = -0*y - 500. What is the hundreds digit of y?
5
Suppose -3*a - a = 220. Let p = -263 + 346. Let b = p + a. What is the tens digit of b?
2
Let v = 9349 + -3964. What is the hundreds digit of v?
3
Let g be (-725)/75 - 4/3. What is the tens digit of 2/g - (5 + 3704/(-44))?
7
What is the tens digit of (2492/42)/(5/75)?
9
Let f be 416/(-5) - 10/(-50). Let i = f - -138. What is the units digit of i?
5
Suppose 4*q - 28 = 2*q. Let y(u) be the second derivative of 5*u**3/6 - 7*u**2 - 6*u. What is the tens digit of y(q)?
5
Let h = 2836 - 737. What is the units digit of h?
9
Suppose -502 = 5*v - 6692. Suppose 3*q - 758 = 2*p, 5*q + 3*p = -0*q + v. What is the hundreds digit of q?
2
Suppose -23*c + 21*c + 3074 = 0. What is the tens digit of c?
3
Suppose -3*a + 1330 + 881 = 0. What is the hundreds digit of a?
7
Suppose -3*i = 4*i - 7497. What is the units digit of i?
1
Suppose -555*f + 556*f = 159. What is the units digit of f?
9
Suppose 0 = 3*c - 7*c + 728. What is the hundreds digit of c?
1
Suppose -3 = -3*n - 2*j, 4*n - 3*n + 12 = -5*j. Let v(t) = -t - 4. Let i be v(-3). Let b = i + n. What is the units digit of b?
2
Suppose -2*m + 2*p + 1645 = 299, 0 = 2*m - 3*p - 1346. What is the units digit of m?
3
Let x = -12 + 11. Let y = x - -3. Let q = y + 8. What is the tens digit of q?
1
Suppose 0 = 3*p + 7 + 11. What is the units digit of (-4)/p*(6 - (-5 - 7))?
2
Let r(j) = -2951*j - 68. What is the thousands digit of r(-1)?
2
Let f(v) = 5*v - 6. Let w(s) = -6*s + 5. Let b(y) = 4*f(y) + 3*w(y). Suppose -9 = -5*o + 21. What is the units digit of b(o)?
3
Let n = 303 + -145. What is the hundreds digit of n?
1
Suppose w - 8 + 1 = 0. Let r = -2 + w. Suppose 57 = 3*i - i + u, -63 = -2*i + r*u. What is the units digit of i?
9
Let j(a) = 4*a**2 + 2*a - 7. Let k(c) = c**3 - 2*c**2 - 9*c - 1. Let l be k(4). What is the tens digit of j(l)?
8
Let x(r) = r**2 - 3*r + 10. Let y be x(-4). Let g = y + -33. Suppose g*u - 221 - 70 = -2*p, -2*u + 114 = 2*p. What is the tens digit of u?
5
Let b(r) = 21*r - 52 + r - 5*r. What is the tens digit of b(10)?
1
Suppose f - 164 = -4*y + 120, -5*y + 3*f = -355. What is the units digit of y?
1
Let d = 114 + -112. What is the units digit of 10458/45 + d/(-5)?
2
Let x = 12 - 8. Suppose 0 = -5*s - 3*v + 117, x*v = s - 2 - 3. What is the units digit of s?
1
Let o(n) = n**2 + 9*n + 12. Let y(x) = -3*x**2 - 27*x - 35. Let p(q) = -11*o(q) - 4*y(q). Let d be p(-8). What is the tens digit of 20 + 7 + d + -3?
2
Let y = 68 + 50. Let n = y - 45. What is the units digit of n?
3
Let u be 2/((-2)/(-1)) - 0. Let t(f) be the third derivative of 2*f**5/5 + f**4/24 - f**3/6 - 12*f**2. What is the units digit of t(u)?
4
Let u = -1 + 3. Let n = 0 + u. Suppose n*q + 3*i - 37 = 0, -3*i + 26 = q - 0*i. What is the units digit of q?
1
Suppose -7 + 19 = 4*s. Suppose 4*v + 5 = -4*j - s, 0 = -2*j + v + 11. Suppose j*i - 84 = -i. What is the units digit of i?
1
Suppose 0 = 24*a - 26*a + 8. Suppose 2*o = -2*r + 5*o + 77, 0 = -a*r - o + 147. What is the units digit of r?
7
Suppose 3*o + 5*r = 781, -o + 2*r = 4*r - 260. What is the units digit of o/4 + 6/(-12)?
5
Let a = 107 - -1464. What is the hundreds digit of a?
5
Let s = 1072 + -9. What is the hundreds digit of s?
0
Suppose -9*y = -5*y - 152. Let v = y - 2. Suppose v = t + 3. What is the tens digit of t?
3
Let u = 20 + -21. Let w be (1 + u)*2/6. Suppose 2*s - 4*o = 68, w = -5*o - 11 - 4. What is the units digit of s?
8
Suppose -5*r = -6*r + 116. Let s be r - 4/8*2. Suppose -s = -4*v + 5*i, -2*v + 2*i + 39 = -17. What is the units digit of v?
5
Suppose -489 = 2*c - 2595. What is the tens digit of c?
5
Let o(t) = -t**2 - 7*t + 768. What is the units digit of o(0)?
8
Let v(j) = -j - 14. Let m(r) = -3. Suppose 2*b - 52 = 2*c, -7 - 5 = -3*b. Let u(t) = c*m(t) + 4*v(t). What is the units digit of u(-7)?
8
Suppose 5696 = 3*m - 5*w, 0 = -2*m + 2*w + 2995 + 801. What is the tens digit of m?
9
Let l(p) = -8*p**3 + 3*p**2 + 18*p - 10. What is the units digit of l(-5)?
5
Let i = -793 + -275. What is the tens digit of i/(-14) + 12/(-42)?
7
Suppose 2*v - 16 = -2*v, 4*h + 3*v + 340 = 0. Let b be h/6*9/(-6). Let k = b - 10. What is the tens digit of k?
1
Let v(x) = -597*x + 66. What is the units digit of v(-2)?
0
Let l = 3809 + -1047. What is the thousands digit of l?
2
Suppose -2*y = -y + 1, -4*k + 529 = -y. What is the units digit of k?
2
Suppose 4*n = -2*l + 24, 5*n - 3*n = l + 8. Let f(m) = m**2 + m + 2. Let k be f(-3). What is the units digit of 64/2 - (k - n)?
9
Suppose 0 = 5*h + z - 24, 3*h + 2*z = h + 16. Suppose 2*p - h = 2*k + 8, 18 = 4*p - k. Suppose p*u = -3*u + 273. What is the tens digit of u?
3
Suppose 3*b + b - 2*t - 84 = 0, -3*b + 3*t + 60 = 0. Let l be (-2)/(3 + b/(-6)). Suppose 4*j = m - 8, 0*m - l*j - 11 = -m. What is the tens digit of m?
2
What is the units digit of (-8)/((-186)/(-96) + -2)?
8
Let y be 3 + 735/(1 + 2). Suppose -o + y = 106. What is the tens digit of o?
4
Let g = -547 + 1098. Let h = 391 - g. What is the tens digit of ((-7)/(-14))/((-2)/h)?
4
Suppose -3590 = -8*y + 1506. What is the units digit of y?
7
Suppose 2*j - 2*u - 738 = 0, -7*j + 5*j - u + 753 = 0. What is the tens digit of j?
7
Suppose 0 = 2*n - 4, n = -z + 3*n. Suppose -2*l + 9 = -2*q + 1, -z*l - 2*q = -4. Suppose -l*c - 3*c + 156 = 4*j, -j + 30 = -c. What is the units digit of j?
4
Suppose 0 = -30*c + 35*c - 5*y - 21835, 4*c - y - 17480 = 0. What is the hundreds digit of c?
3
Let d = -327 - -2156. What is the hundreds digit of d?
8
What is the units digit of 5/(-35) - (-2 + 6345/(-21))?
4
Let w(p) = 15 - 6*p + 2*p**2 - 9 + 4 - 2*p. What is the tens digit of w(4)?
1
Suppose -2*d = -d + 2*y + 2, 2*y = -3*d + 6. Suppose 0 = -a + 4*l + 321, d*l = a - 6*a + 1605. What is the hundreds digit of a?
3
Suppose -2*u = u + 18. Let i be 3/9 + (-40)/u. Let s(j) = -j**2 + 9*j - 3. What is the units digit of s(i)?
1
Let a be 2/(-5)*-5*5. Let w be (a - 6)/((-2)/(-1)). Suppose -w*d + 135 = d. What is the units digit of d?
5
Let l be ((-14)/21)/((-2)/39). Let o = -9
|
{
"pile_set_name": "DM Mathematics"
}
|
b. Solve -5 = -a*s - 4*l, -5*s + 2*l + 2*l = -5 for s.
1
Let u = -103 - -127. Solve -3*w - 3*x + u = 2*w, -4*w = -3*x - 3 for w.
3
Let o(v) be the first derivative of -v**4/4 - 4*v**3 + 2*v + 35. Let u be o(-12). Solve h = -3*t - 3*h + 13, -13 = -5*t + u*h for t.
3
Suppose -40 = -5*s + 2*a, -s - 4*a + 6 + 2 = 0. Suppose -4*h + p + 8 = 0, -p + s = 4*h - 0*p. Solve -2*q - h*q + 2*n = 0, 4*q + 4*n = 12 for q.
1
Suppose 6*c - 26*c + 160 = 0. Solve n = -3*s - c, -3*n - 4*s - 18 = -s for n.
-5
Suppose -5*g - 4*m + 232 = -0*m, -3*g - 5*m + 134 = 0. Suppose 0*s + 3*s = g. Let y = 27 - s. Solve 2*c - 23 = -5*r, r + r - y = c for c.
-1
Let t = -143 + 143. Solve -d = -w + 8, -2*w + t*d = -d - 11 for w.
3
Suppose -k + 0*k = -4. Suppose k*v + 4*f = 12, 4*f - f - 5 = -v. Solve -2*y - v = -5*t + 4, 2*t + 6 = -2*y for t.
0
Suppose -9 = -6*l + 3. Solve 0 = -r - l*h - 0 + 10, r = -4*h + 20 for r.
0
Let h be (11/(-2))/(220/(-80)). Solve 0 = -3*f - n + h*n + 2, 2*f + 4 = -2*n for f.
0
Let t be 0 - 3 - (-5)/1. Solve -2*l - t = -4*k + 14, k = -5*l + 4 for l.
0
Suppose -4*d - 4*v = -2*v - 8, -4*d - 3*v + 12 = 0. Suppose -2*m + 48 - 2 = d. Solve -5*x = -2*g + 4*g + m, 4*g - 5*x = -1 for g.
-4
Suppose 0 = -2*c + 15 - 3. Let g = -269 + 274. Let j be (-1)/4 - (-36)/16. Solve -j*b - c = s, 5*s = -g*b - 17 - 3 for b.
-2
Suppose 3*b - 3*u - 9 = -3, 3*u = -b + 10. Let s(l) = -2*l. Let m be s(4). Let j be (12 + -16)*10/m. Solve -j*t = -b*o, -3*o = 2*o + 25 for t.
-4
Let j(t) be the second derivative of -t**5/10 - t**4/6 + t**3/6 - t**2 + 32*t. Let o be j(-2). Solve w - 3 = -2*n + n, 2*n - o*w = 0 for n.
2
Suppose 0 = -6*j + 400 - 292. Suppose 8*s - 3*s = 10. Solve 0 = 3*g - 3*z - 0*z, 4*z = -s*g + j for g.
3
Let p(u) = -u**2 + 16*u + 143. Let k be p(-6). Solve 3*q - k = 2*j, -q + 0*q + 8 = -5*j for j.
-1
Let l(j) = j**3 + 19*j**2 + 33*j - 17. Let x be l(-17). Solve x*i + 5*i - 19 = 4*b, 2*i = 3*b + 9 for i.
3
Suppose -5*i + 5*w - 440 = 0, 3*w = 5*i + 218 + 212. Let z = -82 - i. Solve 0 = -5*m + a + 16, 5*m - 4*a - z - 3 = 0 for m.
4
Suppose -2*r + 268 = 2*r. Let g = r - -66. Let m be g/7*(0 + 1). Solve m = 5*l - 2*f, -f - 1 = 2*l - 14 for l.
5
Suppose -27*o + 166 + 293 = 0. Solve -v + 5*v = 5*i - 11, -4*v - i = o for v.
-4
Let i = 7 + 12. Suppose -5*w = -i - 1. Suppose 4*c + 49 = 5*z, 0*z = -z - 5*c + w. Solve b + 13 = 2*y, 5*b + 3*y + z = -y for b.
-5
Let j be (48/(-80) - 12/(-20)) + 3/1. Suppose f = -2 + 4, f = 3*b - 13. Solve -7 = -3*g - 5*u, -b*g = -j*g + u for g.
-1
Suppose -15*a = -23*a + 32. Solve a*b - 3 = -2*y + 7, -b + 4 = -y for b.
3
Suppose -2*k = k. Suppose -40*n - 5*n + 90 = 0. Solve k = 2*p - n*v - v + 1, p + 5*v = 6 for p.
1
Let b(s) = s**3 - s**2 + s. Let o(a) = -a**2 + 3. Let y(h) = b(h) - o(h). Let g be y(0). Let f = g + 7. Solve l - 2 + 1 = -5*n, 4*l + f*n = -12 for l.
-4
Let z(c) = c - 10. Let b = -2 + 6. Suppose -31 - 29 = -b*t. Let o be z(t). Solve o*f - f - 12 = 4*u, u + 15 = -5*f for u.
-5
Let n be (4 + -20 + 17)*2. Let o be (9/6)/((-2)/(-4)). Suppose -o*f = -8*f + 15. Solve -2*l + 3 = 3*z, 0 = f*l - n*l - 4*z - 7 for l.
3
Let w(l) = 2*l**3 + l**2 + 2*l - 2. Let v(n) = n**3 - n - 1. Let y(t) = 4*v(t) - w(t). Let z be y(3). Solve 4*p + f + 10 = 0, 2*p - 5*f = -3*p - z for p.
-3
Let f be (5 + -4)/((-2)/(-50)). Let y = 17 - f. Let l be (y/5 - -1)*-5. Solve 4*m + l + 1 = 0, 5*x - 4*m = 19 for x.
3
Let q be -9*(196/(-60) - 10/25 - -3). Suppose -4*n = -43 + 7. Suppose 3*f - n - 3 = 0. Solve -3*c - 4*y + q = 0, -f*y + 3 = 4*c - 5 for c.
2
Let d(t) = 3*t**2 - 6*t - 3. Let f be d(3). Let s be (-4 + 54/12)*f. Solve -s = 2*i - 6*g + 3*g, -2*g = 2 for i.
-3
Suppose v + 3*v = 2*i - 18, 4*i + 3 = -5*v. Solve -5*u + i*u = -3*x + 20, 0 = 4*x - 16 for u.
-4
Let j(x) = x**3 + 7*x**2 + 2*x + 16. Let h(d) = d**2 - 4*d - 4. Let a be h(3). Let l be j(a). Solve o = l*p + 7, p + 3*p - o = -13 for p.
-3
Let q = -203 + 363. Let n be (-1)/3 + q/30. Solve -p + n*p + 14 = b, -p - 2*b = -1 for p.
-3
Suppose 20 = 8*c - 3*c. Let k be 10*(14/c - 3). Let s(t) = 2*t**3 - 2*t + 3. Let p be s(2). Solve 50 = 5*d - k*n, 0 = 3*n + p - 0 for d.
5
Let q = -2353 - -2383. Solve -2*l + 4*l = 2*s - 2, 5*l = -2*s + q for s.
5
Suppose 5 = 8*f + 4*z - 7, 0 = -2*f + 3*z + 15. Solve f*x = -l + 5, 2*l + 3*x - 6*x = 1 for l.
2
Suppose -3*v + 19*v = 80. Solve v = 3*o + o - a, 1 = 5*o + 4*a for o.
1
Suppose -8*t = 6*t - 294. Let o be t - 7/((-14)/(-6)). Let s be -1*0/(-2 - -1). Solve w + 3*d + 12 = s, 3*d - 6 + o = -4*w for w.
0
Suppose 19*b = -17 + 55. Solve -2*r - b*u + 8 = u, -r = u - 3 for r.
1
Suppose 3*p - 27 = -3*b, 30 = 2*p + 5*b - 0. Suppose t - r = -2*r + p, 3*t - 2*r = 0. Let s = 0 + 4. Solve -4*h + 7 = j, 2*h + s = t*j - 0 for j.
3
Let n = 1457 + -1445. Solve 0 = s - 3*s + 4, n = 3*h + 3*s for h.
2
Let s = 455 + -439. Let p be (-14)/(1 + 0) - -2. Let t = p + s. Solve 3*y = t*z + 23, -z - 5 = -3*y + 12 for y.
5
Suppose -17 = -v - 11. Suppose 0 = b + v - 11. Solve b*p = 4*n - 23 + 2, -4*n - 2*p + 14 = 0 for n.
4
Let h be 32/48 + (15/(-9) - -1). Solve 2*y - 4*p - 16 = 5*y, h = 2*p + 8 for y.
0
Let d be 6/(-21) - (-88)/14. Let q be 2 - 0/(d/(-3)). Suppose 0 = 3*u + 4*h - 37, -u = -4*h - 9 + 18. Solve 0*x - u = 2*p + x, 0 = -q*p - 2*x - 10 for p.
-2
Let k be (-4)/(-14) + (-1898)/(-511). Solve -k*n = 5*s + 19 - 5, 2*s = -5*n - 9 for s.
-2
Let l(n) = -n**2 - 3*n + 2. Let q be l(-3). Suppose -3*r = -12, -w + r = -9 + 4. Solve 4*t = -m + w, 0 = t + q*t - 5*m - 24 for t.
3
Suppose -3*c + l = 2*c - 1595, 1595 = 5*c + 2*l. Let t be ((-1)/1)/((-11)/c). Solve -a = 5*d - 10*d - t, -3*a - 5*d - 13 = 0 for a.
4
Let k = -507 + 520. Solve 5*p - k = -d - 4, -5*p = 3*d - 17 for d.
4
Suppose 5*h - 3*p - 385 = 2*p, -3*p = 3. Suppose 28 = 4*y + h. Let n = 16 + y. Solve -3*f + 2*o - 1 = 0, -4*o = -n*f + 3*f + 13 for f.
-3
Suppose 0 = 2*w - 19 + 87. Let u = w + 37. Solve -2*v = -0*v + 2, 0 = -u*n + v - 2 for n.
-1
Let u(a) = -2*a - 4. Let t be u(-2). Let l(k) = 2*k - 1. Let i be l(t). Let p be (11 - 10)/(i/(-5)). Solve p*n - 2*d = -30, 3*d - 29 = 5*n + 6 for n.
-4
Let d(u) = u**3 - 8*u**2 - 9*u - 3. Let v be d(9). Let x be (v + 2)*-1*0. Let p = 52 - 50. Solve -n + 5 = -x*n, j + n = p for j.
-3
Let y = 45 - 37. Let i(m) = 6*m - 38. Let r be i(y). Solve 3*x - 23 = 4*v, -3*x + r = -x for v.
-2
Suppose 0 = -3*g - 19 - 65. Let f = 32 + g. Solve 5*w + 6 = -3*h, -1 = 3*w + f*h - 4 for w.
-3
Let y(u) = -2*u**3 + 4*u + 1 + 2*u**3 - 5*u**2 + u**3 + 2. Let d be y(4). Solve 3*q - d*c - 33 = -12, -c - 4 = 0 for q.
3
Let q = 341 - 338. Solve 3*t = 5*s - 24, 0 = -4*s + q*t + 14 + 7 for s.
3
Let g(u) = -u**2 + 7. Let a be g(0). Suppose x = -4 + a. Suppose 12 = x*w - w. Solve w = 2*r, 3*f = -5*r + 11 + 13 for f.
3
Suppose -4*n - 2*a = -6*a + 4, 0 = n - 5*a + 17. Solve -4*z + 4*l + 16 = 0, n*z - 3*l + 2*l - 4 = 0 for z.
0
Let g be (1 - 5/(-10))*62. Let a = g + -89. Solve -3*k - 4 = k - q, -a*q + 16 = -k for k.
0
Let m = 17 - 12. Let x(u) = u**3 - 7*u**2 + 54*u - 643. Let a be x(9). Solve -s + m = -a*k + 17, s = -k for s.
-2
Let l = 22 - 16. Let w = -33 + 35. Suppose q + w*q = l. Solve n = -4*s - 0 + 3, -5*n = 3*s + q for n.
-1
Let z be ((-3)/(-9))/((-3)/(-27)). Let c be 48/(-18)*(18/(-8))/z. Solve 3*f = -5*m + m - 5, 6 = -c*f for m.
1
Let n(v) = 8*v**2 + 24*v + 4. Let s be n(-3). Solve 2*b - 2 + 10 = -2*k, -4*k = -s*b - 16 for b.
-4
Let k(h) = 10*h + 1. Let s be k(-1). Let a be (11 + s)*(-4)/(-2). Solve -5*f - t = -22, a*f = -3*t + 4*t + 14 for f.
4
Let h = -476 - -481. Solve d + 4*x = 2, 0 = -d - x - 6 + h for d.
-2
Let h be -3 + 2 + -3 - 3. Let v be (1 + h)*10/(-15). Let t = -2 + 5. Solve 0*z = -t*c + 5*z - 29, v*z = 3*c + 25 for c.
-3
Let v = -16 + 16. Suppose 0*c + 3*c - 6 = v. Let n = 7 - c. Solve n*d = 4*d + 5*s - 12, 3*d = s - 8 for d.
-2
Suppose 2*p + 2*p - 4*v - 8 = 0, -13 = -2*p - v. Solve -4*t - 9 = p*l - 7*t, -15 = -l - 5*t for l.
0
Let m(l) = -3*l**2 + 188*l + 65. Let f be m(63). Solve -2*k + 2 = -f*g, 4*g + 2 = 5*k + 2*g for k.
0
Suppose -8 - 4 = -2*k. Suppose 0 = 2*f - k*f + 8. Suppose -3 = -f*h + 4*l + 35, -3*h = -2*l - 49. Solve -3*j = h, -3*u = 2*j - 3*j - 14 for u.
3
Let t be (12/6)/(-8 + 9). Solve -t*w + 2 + 14 = -4*s, -5*s = -3*w + 21 for s.
-3
Suppose -1 - 5 = -3*f. Suppose 0 = 8*i - 23 - 9. Suppose -11 = i*a
|
{
"pile_set_name": "DM Mathematics"
}
|
-12.9 - -12. Let n = 0.1 - k. Let z = -127/220 + -1/44. Which is the third biggest value? (a) 0.1 (b) n (c) z
c
Let r = -26 - -68. Let m = 41.5 - r. What is the smallest value in m, -0.4, 3/5, 4?
m
Let o(u) = u**3 - 4*u**2 + 3*u + 4. Let k be o(3). Which is the fourth smallest value? (a) 3 (b) 1/4 (c) -1/5 (d) k
d
Let v = -129/238 + 5/119. What is the fourth biggest value in -0.4, v, 2/9, 1/5?
v
Suppose -28*z - 35 = -595. Suppose -5*v - 15 - 35 = 0. Let o be (-6)/8 - v/z. Which is the biggest value? (a) 6/7 (b) 4 (c) o
b
Suppose -201 = 5*i - 196. Suppose 0 = -l - 2*q + 2, 0 = 2*l + 2*q - 0*q. Let x = -0.3 + 0.2. Which is the third smallest value? (a) x (b) i (c) l
a
Let w = -26 + 31. Which is the second smallest value? (a) -1 (b) 2/17 (c) w (d) 2
b
Let d = 18 + -18.04. Let j = 0.06 - d. What is the fourth biggest value in -1.5, j, 2/7, 1/6?
-1.5
Let t = 2153 + -2152.9. Which is the smallest value? (a) t (b) 2.3 (c) -14
c
Let j = -961 + 961. What is the second smallest value in -0.5, -46, j, -2/7?
-0.5
Let y = 53.6 + -31.6. What is the second biggest value in -1, -4, y, -0.1?
-0.1
Let y = -2.2 + 0.2. Let z = 1 + y. Which is the third smallest value? (a) 3/4 (b) -0.2 (c) z
a
Let l be -481*(-26)/8619 - (-8)/(-6). What is the biggest value in 0.3, -5, l, 0.02?
0.3
Let z = 461 + -466. What is the third biggest value in 0.2, z, 1/4?
z
Let p = 3/52 + -7/52. Which is the smallest value? (a) p (b) 2 (c) -2/7
c
Let s = 1416 - 1426. Which is the third smallest value? (a) -0.45 (b) s (c) -3/8
c
Let z = -38 + 29. Let c = -7 - z. What is the second biggest value in c, 0.1, -2/5?
0.1
Let d = 0.559 + -0.159. Let r = 0.074 - 2.074. What is the biggest value in 5, r, -4, d?
5
Let x = -28 + 26.9. Let p = 1.2 + x. Which is the second biggest value? (a) -0.27 (b) p (c) 1/6
b
Let b be 2/(-8) + 3/(84/11). Let l be (-2 + 37/20)/((-30)/(-75)). What is the second smallest value in b, l, -1/4?
-1/4
Let m(l) = l**3 + l**2 - l + 2. Let d be m(0). Let i = -290927/1455 + -131/291. Let t = -201 - i. What is the second biggest value in d, 2/19, t?
2/19
Let h(n) = -n**2 - 10*n - 12. Let z = 18 - 27. Let o be h(z). Which is the biggest value? (a) o (b) 2/3 (c) -3/7
b
Let t be ((-2)/(-18))/(10/20). Suppose 0 = n + 3*n + 20, -5*n = q + 24. Which is the third smallest value? (a) -2/15 (b) q (c) t
b
Let f = -0.3 + 0.4. Let o = -92/75 - -14/25. What is the third smallest value in -3, o, f?
f
Let r(w) = -w**3 - 5*w**2 - 2*w - 8. Let y be r(-5). Which is the third smallest value? (a) 2/3 (b) -94/9 (c) y
c
Let r = -11.1 + -4.4. Let w = r - -1.5. Let f = w + 18. What is the biggest value in -5, -4, f?
f
Let j = -524 + 529. What is the biggest value in 4, -1/8, j?
j
Suppose 2*y - 18 = -2*c, -c = c - 4*y + 12. Let a(u) = -u + 2*u + 0*u - 2. Let t be a(1). What is the second smallest value in 0.2, c, t?
0.2
Let y = 21 - -1. Let g = y + -21. Which is the third smallest value? (a) g (b) -13 (c) -5
a
Suppose -i - 13 = 3*n, 14 = -2*i + 4*n - 6*n. Let k = i + -8. Let z = 180 + -175. Which is the third biggest value? (a) z (b) k (c) -5
b
Let l = -3.2 - 1.8. What is the third smallest value in 0.4, l, -3?
0.4
Let t be (-1)/4 - 10/(-40). Suppose t*i = i - 28. Let n = i + -26. What is the second smallest value in n, 0.4, 2/7?
0.4
Let u = 1463/15 - 292/3. Which is the third biggest value? (a) -4 (b) u (c) 20 (d) 4/7
b
Let w = -8 + 13. Let d = -199/314 + 20279/61230. Let y = d - 2/65. Which is the second biggest value? (a) w (b) 0 (c) y
b
Let y be (-12)/(-66) + 0 - (-1)/55. Which is the third smallest value? (a) 0.5 (b) 1 (c) 2/15 (d) y
a
Let t = -16 - -7. Let v = 9.3 + t. Which is the third smallest value? (a) v (b) 0 (c) 3 (d) 2/7
a
Let b = -226 + 328. Let o = b + -102.5. What is the second smallest value in 15, -5, o?
o
Suppose 2*g = 3*r - 18, -5*g = -3*r + r + 23. What is the second smallest value in 0.5, 0.03, 0.28, r?
0.28
Let h = -3/80 + 33/80. Let w(j) = j**2 - 16*j + 57. Let d be w(5). Which is the second smallest value? (a) h (b) -5/4 (c) d
a
Let n = -2.11 - -2.13. Which is the biggest value? (a) 0.3 (b) 5 (c) n (d) -8
b
Let i = -0.2 + 0.1. Let l = i - 0.1. Let x = -2.11 + -2.89. Which is the second biggest value? (a) x (b) l (c) 0.1
b
Let g = -13 + 8. Let x(o) = o**2 - 3*o + 1. Let h be x(-7). Let q = h - 75. Which is the third smallest value? (a) 0.3 (b) g (c) q
a
Let h = -0.444 - -0.744. Which is the third smallest value? (a) -0.7 (b) h (c) 0.03
b
Let x = 4.433 + -4.4. Let n = x + -0.533. Which is the smallest value? (a) n (b) -5 (c) -0.1 (d) -1/4
b
Let z = -4.093 + 0.093. Let h = 2963/21 - 141. Which is the smallest value? (a) 8 (b) z (c) h
b
Let m = -31 - -30.5. Suppose 5*d = 6*d. Which is the third smallest value? (a) 4 (b) m (c) d
a
Let d = -6.57 + 5.9. Let z = d + 0.59. What is the second biggest value in -0.3, z, 1/2?
z
Suppose -12*r + 4*g - 6 = -7*r, 2 = 3*r - g. Which is the second biggest value? (a) 3/5 (b) -2.3 (c) r (d) 2/9
a
Let h = 26.2 - -3.8. What is the second biggest value in h, -1, 0.4?
0.4
Let f = -0.3 + 0.3. Let y = f + -3. Let i = -256 - -257. Which is the third smallest value? (a) i (b) -0.4 (c) y
a
Let q = 146/45 - 113824/35055. Let w = q - 1540/7011. Which is the smallest value? (a) -4 (b) 0.1 (c) w
a
Let o = 311 + -315. Which is the third biggest value? (a) -2 (b) o (c) -3/8 (d) 3
a
Suppose 0 = l - k - 7, -2*l + l = k - 1. Let v = 96.1 - 95.7. Let y = -1.43 - -0.43. What is the smallest value in v, l, y?
y
Let p(l) = -l**3 - 4*l**2 - 4*l - 2. Let w be p(-2). Let k = -0.3 + 0.5. Let d be (10 - -2 - 9) + -3. Which is the second smallest value? (a) w (b) d (c) k
b
Let z = -25.89 + 26. Let k = z - 0.11. What is the second smallest value in 0.04, -5/2, k?
k
Let r = -3 + -2. Let z = -0.064 - -0.102. Let v = z - 0.138. Which is the second smallest value? (a) v (b) 3 (c) r
a
Let a = 0.39 - 19.39. Let c = a + 34. Let o = 10 - c. What is the third biggest value in 3, -0.5, o?
o
Let n be -5 - -6 - (10 + 3). Let f = n + 17. What is the second biggest value in 6, f, 4, 3?
f
Let t = 860 + -860.16. What is the third smallest value in t, 44, -0.4?
44
Let i = -2.43 + 2.03. Which is the smallest value? (a) -3 (b) 3/7 (c) -7/5 (d) i
a
Let z be 1*13/15 + -1. Let l = 1.5 - 1.32. Let d = -0.32 - l. Which is the smallest value? (a) d (b) z (c) -4
c
Let x = -1.3 - -6.3. Let f be ((-22)/(-6))/((-230)/(-45) - 5). Suppose 3*l - l - f = 3*d, 27 = -4*d - 3*l. What is the second biggest value in x, d, 0?
0
Let x = -5 + -13. Let f = -17.8 - x. What is the second biggest value in 0, -1, f, -1/4?
0
Let d be 7 + 1 - (-1 - -4). Let n = -3.47 + 0.47. What is the biggest value in d, 3/8, n?
d
Let i = 664.3 - 664. Which is the third biggest value? (a) -5 (b) i (c) -2/5 (d) -3
d
Let d = 0.23 + -1.43. Let x = 5.2 + d. What is the second smallest value in 2, x, 0.3?
2
Let c = 4.2 + 23.8. Let p = 24 - c. What is the third biggest value in -0.6, p, 1/8?
p
Let n = 3.4 + 1.1. Let q = 2.6 - n. Let r = 2 + q. What is the second biggest value in r, 1/4, 2?
1/4
Let h = 0.78 - 2.38. Let x = 1.1 + h. What is the biggest value in x, 3/4, -0.2?
3/4
Let s = 80/51 - 38/17. Let m = -0.1 + 0. Which is the smallest value? (a) m (b) 2 (c) 5 (d) s
d
Let o = -0.0094 - -0.0094. What is the second biggest value in -2/3, o, 4/3, 1/11?
1/11
Let j = 4 + -6. Let l = -725/3222 - -1/358. Which is the second smallest value? (a) j (b) 0.03 (c) l (d) 5
c
Let u(y) = -11*y - 49. Let t(k) = -5*k - 25. Let i(w) = 9*t(w) - 4*u(w). Let r be i(-24). Which is the biggest value? (a) r (b) -1/2 (c) 0 (d) -3/5
c
Let t be 20/(-12) - 28/42*-3. Suppose 0*r + r = -5. Which is the second biggest value? (a) 2/5 (b) r (c) 3 (d) t
a
Suppose 0 = 7*s - 2*s + 70. Let p be -3 + (0 + (-66)/s - 2). What is the second smallest value in p, -4, -2/11?
p
Let g = -107.7 - -108. What is the third smallest value in -2, -0.2, g, 0.5?
g
Let q = -402 - -401.978. What is the second smallest value in q, 0, -4?
q
Let h = -5 - -7. Let y = -1 + 0.7. Let x = -35 + 35. What is the second smallest value in x, y, h?
x
Let z be 8 + 3/(108/(-315)). Which is the smallest value? (a) 0.2 (b) 1 (c) z (d) -0.23
c
Let z = -147.1 + 147. Which
|
{
"pile_set_name": "DM Mathematics"
}
|
. Calculate the least common multiple of o(-1) and 6.
30
Let c = -3095/2 + 1589. Let l = -39213/3608 - 3/451. Calculate the common denominator of c and l.
8
Let l(s) = s**2 + 12*s + 31. Let i(b) = 21*b**3 - 2*b + 1. Calculate the smallest common multiple of l(-9) and i(1).
20
Suppose -5*y = 11*y + 880. Let g be (-4)/6 + (-466)/12. Let s = g - y. Find the common denominator of s and -4/11.
22
Let s = -150 - -204. Calculate the smallest common multiple of s and 12.
108
Suppose 126 = 4*i - 14. Suppose -4*h - 2*b + b + i = 0, -4*b - 30 = -h. What is the least common multiple of h and 18?
90
Suppose 15*v + 12 = t + 14*v, 46 = 4*t - 3*v. What is the least common multiple of 32 and t?
160
Suppose -c - 3*c + 8 = 0. What is the least common multiple of (-2)/(-3)*14/((-42)/(-45)) and c?
10
Suppose 538 = -3*b + 3292. Let s = b - 31207/34. What is the common denominator of s and 83/2?
34
Let s = 248103/65072 - 1/4067. Let c = -19888 - -357881/18. Find the common denominator of s and c.
144
Suppose -3*f = -4*w + 117, -w + 6*w + 125 = -4*f. Let h = 44 + f. Calculate the smallest common multiple of h and 27.
27
Let u(z) = -2*z + 11. Let f be u(6). Calculate the common denominator of 17/(-6)*(-5)/15 and (61/3)/(4*f/(-3)).
36
Suppose -3*v + 75 = 3*x, v + 2*v + 4*x - 78 = 0. Let h = 481 - 421. Calculate the least common multiple of v and h.
660
Let x = 92 + -91. Let w be -1*15 + (-3 - -2). Calculate the lowest common multiple of 22 and -2 + 3 - (x + w).
176
Calculate the common denominator of -20/11 and (-198)/(-72) - 3/(-24).
88
Let r(y) = 3*y**2 - 24*y - 13. What is the lowest common multiple of r(9) and 108?
756
Let h = 0 - -3. Suppose 0 = -2*v + h*v - 11. Calculate the least common multiple of v and 8.
88
Let q = -28727/54 + 532. Let j = -10/27 - q. What is the common denominator of j and 107/(-6) - (-2)/2 - -5?
18
Let r = -17695 + 10377. Let v = -58467/8 - r. Calculate the common denominator of v and 872/88 + 12/(-2).
88
Let s be (3/(-1))/6 + 10/4. Suppose -5*t = -4*l - s, 0 = 2*t - 2 - 2. Suppose -4*p + 14 = -6. What is the lowest common multiple of l and p?
10
Let h = 286/21 - 86/7. Calculate the common denominator of -19 and h.
3
Suppose 3*g = h + 11, 0*h = 2*h + 5*g - 22. Calculate the smallest common multiple of h and 36.
36
Let z(w) = 2*w**2 - 16*w - 31. What is the least common multiple of 16 and z(-2)?
144
Suppose -5*o + 3*t - 2*t + 76 = 0, -t = -o + 12. Let m = -10 + o. Suppose 3*r - d - 21 = -4*d, -15 = 3*d. What is the least common multiple of m and r?
12
Let p(i) = -4*i + 76. Calculate the smallest common multiple of p(-14) and 18.
396
Let x = 23049/10 - 2302. Find the common denominator of x and 6/(-36) + (-1112)/2400*-5.
20
Let k = -1282 + 5057/4. Let p(o) = 2*o**3 + 6*o**2 - 8*o - 6. Let n be p(-5). Calculate the common denominator of k and (2 - (-128)/n)*-51.
44
Let p(n) = n**2 - 8*n + 9. Let a be p(7). Suppose 2*y = -30 + a. What is the common denominator of ((-7)/y)/(3/(-86)) and -19/9?
9
Suppose 570 = 22*n - 12*n. Calculate the smallest common multiple of 42 and n.
798
Calculate the common denominator of 127/72 and (1184/(-64))/(40/6).
360
Suppose 21*t = 10*t + 2728. Calculate the least common multiple of t and 31.
248
Suppose -4*z = -3*d - 81, 2*z - 5*d - 47 + 10 = 0. Suppose 0*m - m - 3*j + z = 0, -5*j + 67 = 3*m. Calculate the least common multiple of 12 and m.
24
Let t = 248/1481 - -7587390/25177. Let y = 301 - t. What is the common denominator of y and (-34)/(-33)*(-6)/(-4)?
187
Let w be (-4)/(-14) + 408/42. Suppose 7*k = 5*k - w. What is the smallest common multiple of ((-12)/k)/((-3)/(-10)) and 1?
8
Suppose -5*t - 3*z - 210 = 0, -2*z = -4*z. Let a = 29 + t. Let k = 23 + a. Calculate the smallest common multiple of k and 8.
40
Let k(h) be the second derivative of -h**4/12 + 4*h**3/3 + 3*h**2 - 4*h. Let r be k(8). Let g = 8 + r. What is the smallest common multiple of 2 and g?
14
Find the common denominator of -59/33 and -8 - (-3 + 2629/(-363)).
33
Let s = -18 + 29. Suppose 3*v - 41 = 4*i, 5*v + 4 = 5*i + 64. Calculate the lowest common multiple of s and v.
77
Let d(c) = 65*c**2 - 3*c + 13. Let b be d(6). Let o = -16314/7 + b. Find the common denominator of o and -35/17.
119
Let i be (5/(-5))/(2/(-10)). Suppose 3*n = 3*t + 126, 298 - 52 = -i*t - 4*n. Find the common denominator of t and 216/32 - (-3)/(-2).
4
Let l = -124/405 - 13/81. Find the common denominator of 2/105 and l.
105
Suppose 4*r - 120 = -r. Let z(m) = -107*m + 241. What is the least common multiple of r and z(2)?
216
Suppose -3*u + u = -4. Let q(t) = 3*t + 8. Let b(c) = 5*c + 15. Let r(m) = 4*b(m) - 7*q(m). What is the least common multiple of r(-5) and u?
18
Suppose -4*v = -3*f - 137, 2*v - 4*f - 79 = f. Find the common denominator of (5/110)/((-2)/v) and -95/8.
88
Suppose -5*p + 15 = 0, 3*r = 50*p - 54*p + 66. What is the smallest common multiple of ((-6)/2)/(2/(-18)) and r?
54
What is the smallest common multiple of -3 + 9 + (3 + 0 - -1) and 20?
20
Let i(v) = -v + 6. Let o be i(6). Suppose -5*p + p + 80 = o. Suppose -7*k + 15 = -6*k + a, -70 = -5*k - 4*a. What is the smallest common multiple of p and k?
20
Let y = -184915/152152 - 1/1729. Find the common denominator of -87/80 and y.
880
Suppose 0 = -3*y - 9*y + 264. What is the smallest common multiple of y and 104?
1144
Suppose -5*h = n, 5*h = 3*n - 18 - 62. What is the least common multiple of n and 44?
220
What is the common denominator of (-136)/(-28) + -5 - (0 + 0) and 51/70?
70
Suppose -120*z + 2625 = -60*z + 15*z. Calculate the least common multiple of (0 + -1)*(0 - 1) and z.
35
Let q(j) = -3*j + 1. Let w be q(-4). Let l(d) = -4*d + 20. Let v(i) = i + 1. Let x(k) = l(k) + 3*v(k). What is the smallest common multiple of 8 and x(w)?
40
Suppose 23*t + 6*t - 18*t = 176. Suppose 2*x - 16 = -4*n, 2*n - n - 32 = -4*x. What is the smallest common multiple of t and x?
16
Let o(p) = -29*p - 13. What is the smallest common multiple of 44 and o(-1)?
176
Let c = 8936/9 + -994. Let g = -3779 - -30131/8. Find the common denominator of c and g.
72
Let f = -1205284831/606 + 1988939. Let w = -330475/101 + 3272. Let z = w - f. Find the common denominator of z and -10/9.
18
Suppose 5*a = 4*y + 676, 3*y + 144 = a - 0*y. Suppose -2*m = 4*m - a. Calculate the least common multiple of m and 9.
198
Find the common denominator of -77/111 and 4/22*24/144.
1221
Calculate the common denominator of 83/30 and 12/(-432)*4*906/(-4).
30
Suppose 2*r - 4 = -3*t, -t - r = 2*t + 1. What is the lowest common multiple of 2 and t/(-8)*(-1)/(3/(-156))?
26
Find the common denominator of -49/54 and (202/55)/(72/(-30)).
594
Let o = -2/1577 - -42607/22078. Let n be 4*2/4 - 1. Find the common denominator of 25*3*n/(-2) and o.
14
Find the common denominator of -76/9 and (426/180 - 5) + 3.
90
Suppose 3*q = -9 - 3. Find the common denominator of 10/5 + 70/4 and ((-4)/16)/(q/(-89)).
16
Suppose d + 19 = t, 0 = -2*t - t + 2*d + 60. Calculate the lowest common multiple of 192 and t.
2112
Let t(n) = n + 14. Let x = -209 + 331. Suppose -2*m = 3*b - 32, -4*m + x = m - 3*b. What is the least common multiple of m and t(-6)?
88
Let n = -136/81 + 4811/2592. Find the common denominator of 31/12 and n.
96
Let f be 207/(-120)*5/(-8). Let m = -3129/320 + f. Calculate the common denominator of m and -21/2.
10
Let k = -19 + 31. Let p be ((-9)/(-3))/(-3) - -8. Suppose 0*w - p*w + 70 = 0. Calculate the smallest common multiple of w and k.
60
Let t = -4325970 + 69306111/16. Let p = t - 5685. Let k = p + 2175/112. Calculate the common denominator of 75/2 and k.
14
Let d = -12 + 13. Let p(y) = 1. Let f(r) = r + 4. Let h(t) = -2*f(t) + 6*p(t). What is the lowest common multiple of h(-3) and d?
4
Let z(i) = -i**3 + 10*i**2 + i - 3. Let s be -3*(6/27)/(4/(-60)). Calculate the smallest common multiple of z(s) and 5.
35
Calculate the common denominator of -157/60 and -15*(-126)/175*(-6)/(-16).
60
Suppose 33 + 6 = 3*f. Let n = -5958 - -5959. Calculate the lowest common multiple of f and n.
13
What is the common denominator of -33/95 and 10/((-96)/780*5)?
380
Let i(z) = -z**3 - 7*z**2 - 10*z - 10. What is the lowest common multiple of 16 and i(-6)?
112
Suppose 2*z - 2*d - 18 = -4*d, 0 = d - 4. Suppose 15 = z*a - 5. What is the least common multiple of 8 and a?
8
Find the common den
|
{
"pile_set_name": "DM Mathematics"
}
|
uppose 3*u = 4*y - 17, -5*u + 0*y = -m*y + 5. What is the units digit of u?
1
Let u = 6 - 6. Let s(m) = -m**2 + 5*m + 6. Let b be s(6). What is the units digit of u - (b + -2)*1?
2
Suppose 3*b = -2*b + 15. Suppose 51 = -b*r + 132. What is the tens digit of r?
2
Let c = -5 - -9. Suppose 0*w - 8 = -c*w. Suppose 2*u + 5*n = 7, 0 = 3*u + 2*n + w*n - 14. What is the units digit of u?
6
Suppose 0 = 4*h + 4*o - 64, 56 = h + 3*h + 2*o. What is the tens digit of h?
1
Let t(q) = 2*q - 3. Suppose 3*v = -g + 9, -2*g = -v + 3*v - 14. Let k be (8/g)/(2/6). What is the units digit of t(k)?
5
Let m = 5 - 7. Suppose 2*r = 4*u - 2, 0*r + 4*r = 5*u - 1. Let a = r - m. What is the units digit of a?
3
Let c = 7 - 1. Suppose 7 = 2*q + 1. Suppose -q*b = -c, 4*f + 5*b - 1 = 13. What is the units digit of f?
1
Let o = 5 - -61. Let b = o - 45. What is the tens digit of b?
2
Suppose -4*a + 32 = -52. What is the units digit of a?
1
Let s be (-1)/(-1) - 16/(-4). What is the units digit of (6/(-15))/((-1)/s)?
2
Let l be 1/(1/9) - -1. Suppose l = -3*s - 5, 2*u - 4*s = 46. What is the units digit of u?
3
What is the units digit of (-4)/14 + 74/14?
5
What is the units digit of 12/(-30) - 144/(-10)?
4
Let t(p) = p**2 - p + 1. Let o(b) = -3*b**2 + 2*b - 20. Let y(r) = -o(r) - 2*t(r). Let g be y(0). Let j = -13 + g. What is the units digit of j?
5
Let r be 104/28 - 2/(-7). Suppose -p + r*p - 90 = 0. Suppose -4*y - y = -p. What is the units digit of y?
6
Suppose -2*q - 2 = -4*q. Suppose 0 = c + 3 - q. Let k = 6 + c. What is the units digit of k?
4
Let q(v) = v**2 - 1. Let f(h) = -4*h**2 + 3*h + 6. Let y(x) = -f(x) - 3*q(x). What is the units digit of y(-5)?
7
Suppose -h - 6 = -3. What is the units digit of 4 - 6/(h*1)?
6
Suppose 2*j + 3*j = 25. Suppose j*q + 18 - 61 = 4*o, -5*q + 46 = -3*o. What is the tens digit of q?
1
Let w be 3/3 + 1*-1. Suppose -2*x + 26 + 8 = w. What is the units digit of x?
7
Let c(m) = -m**2 - 9*m - 10. What is the tens digit of c(-5)?
1
Let f(a) = a - 1. Let k be f(5). Suppose d = -d + k. What is the units digit of d/2*(-18)/(-3)?
6
Let k(g) = g**3 + 7*g**2 + 3*g + 4. What is the units digit of k(-5)?
9
Suppose p - 1 = 23. Let z = 25 + p. What is the units digit of z?
9
Let a = 7 - 8. What is the units digit of (0 + -2)/a - -10?
2
Let v = -76 + 54. Let b = -13 - v. What is the units digit of b?
9
Let s = 32 - -24. Suppose d = -3*d + s. Suppose -d = -2*b + 4. What is the units digit of b?
9
What is the tens digit of (-1 - 1 - -5)*7?
2
Let i = 38 - 22. What is the tens digit of i?
1
Suppose 2*d + 27 = 1. Let b = d - -22. What is the units digit of b?
9
Suppose 0 = -2*r, -3*r + 44 = k - 5. What is the units digit of k?
9
Suppose 3*l + o = 4*l - 238, -943 = -4*l - 5*o. What is the hundreds digit of l?
2
What is the units digit of 1/(((-20)/(-4))/695)?
9
Suppose 0 = a - 2*a + g + 4, 8 = 4*a - 2*g. Suppose -3*k = -18 - a. What is the units digit of k?
6
Let s(d) = 3*d**2 + 8*d - 4. What is the units digit of s(-4)?
2
Suppose 2*f + 4*f = 54. What is the units digit of f?
9
Let a = -9 - -5. Let g(h) = 5*h**3 + h**2 + 7*h + 6. Let w(l) = 4*l**3 + 2*l**2 + 6*l + 5. Let o(y) = -3*g(y) + 4*w(y). What is the units digit of o(a)?
6
Let i(r) = r**2 - r - 4. Let w be i(3). Suppose x - 10 = -w*p, 3*x - 24 = -p - 3*p. What is the units digit of x?
4
Let r(k) = -k**2 + 10*k - 9. Let d be r(9). Let q be (-3)/(-5) - (-14)/35. What is the units digit of q/(2/2 - d)?
1
Suppose 0 = 2*w + 3*w. Let c(r) = -r + 27. Let l be c(w). Suppose 3*n - 2*v - l = v, -5*v = -3*n + 31. What is the units digit of n?
7
Let l be 4 + 0 + 0 - 0. Suppose 0 = h - l*h. Suppose -g + h*g = -8. What is the units digit of g?
8
Suppose 8 = 2*m + 2. What is the units digit of 3 - (m - 3)*-1?
3
Suppose 0 = 5*r + a - 129, -5*r + 3*a + 127 = 6*a. What is the tens digit of 141/13 - (-4)/r?
1
Let r(f) = 11*f - 49. Let u(n) = 5*n - 24. Let b(a) = -2*r(a) + 5*u(a). What is the units digit of b(15)?
3
Suppose m = 4*i + 8, -5*i + 2*m + 3*m = 10. Let u be (4 + -5)*(-1 + i). What is the units digit of u + -5 + (-3)/(-1)?
1
Suppose 0 = -2*d + 5*c - 7 + 39, d = -c + 23. What is the tens digit of d?
2
Let u be (-1 + -122)/(6/(-4)). Suppose 0 = 2*l + l + 2*z - u, 2*z - 142 = -5*l. Suppose -2*c - l = -3*i, -4*i - 2*c - 8 = -34. What is the units digit of i?
8
Suppose -8 = -2*s + 2*k, 3*k + 4 = 2*s + 2*k. Suppose s = -3*t - 99 + 27. Let m = t - -43. What is the units digit of m?
9
What is the tens digit of (3 - 1) + 24/2?
1
Let h(n) = -3*n - 7. Let t be h(-5). Let w(r) = r**3 - 7*r**2 - 7*r + 7. What is the tens digit of w(t)?
1
Let q = -29 - -87. Suppose q = 4*s - 2. What is the tens digit of s?
1
Let h = -48 + 113. Let o = -37 + h. What is the tens digit of o?
2
Suppose 3*x + 7 - 13 = 0. Suppose -i - 2*f + 36 = 0, -x*f = -4*i + 168 + 16. What is the tens digit of i?
4
Let j = 4 + -4. Let l(h) = h**2 - h + 6. What is the units digit of l(j)?
6
Let t = -439 - -675. What is the tens digit of t?
3
Let g be (-59)/(-4) + 1/4. Suppose 0*y = -5*t + 3*y - 53, 3*t - 3*y = -33. What is the units digit of 219/g - 4/t?
5
Let l = -13 - -18. Suppose l*y = 4*y + 14. What is the units digit of y?
4
Let p(r) = 2*r + 2. Let w be p(2). Let i(n) = n + 2. Let o be i(w). Let s = o + -6. What is the units digit of s?
2
Let j be 3/2 - (-3)/6. Suppose -8*z + j*z + 246 = 0. What is the units digit of z?
1
Let f(y) be the first derivative of -y**3/3 - 5*y**2 + 6*y - 3. What is the units digit of f(-10)?
6
Let p be 3/(0 - (-2 + 1)). Let g = 8 - p. Suppose -5*x + 22 = -3*b, 4*x - 16 = g*b - b. What is the units digit of b?
1
What is the units digit of (-3)/(-4) - 1443/(-12)?
1
Suppose 0 = u - 6*u + 3*l + 25, 25 = -5*l. Suppose 5*s = -y - 3 + 1, u*s + 33 = -5*y. Let c = y - -11. What is the units digit of c?
4
Suppose u = -0*u - 5. Let j = u + 11. What is the units digit of j?
6
Let b(r) = -2*r**2 - 2*r + 1. Let l be b(-2). What is the units digit of 6 - 2/3*l?
8
What is the units digit of 2/(68/64 + -1)?
2
Let w = 4 + -7. What is the units digit of (-453)/(-18) - w/(-18)?
5
Let o(m) = m - 5. Let r = -11 + 16. Let i be o(r). Suppose i*k - k = -12. What is the units digit of k?
2
Let q be 1/((4 + 0)/(-24)). Let k be 20/(-3)*(-6)/5. Let i = k - q. What is the tens digit of i?
1
Suppose 3*c + 11 = -4. Let o = c - -25. What is the units digit of o?
0
Let p(v) = -v**3 - 8*v**2 + 6*v - 10. Let z = -12 + 3. What is the tens digit of p(z)?
1
What is the units digit of (-4)/10 - (-49)/35?
1
Let o = -25 + 14. Let t = o + 5. Let s = t + 14. What is the units digit of s?
8
Let a = 27 + -18. What is the units digit of (-1 + 7)*48/a?
2
What is the tens digit of 1/(1/76*2)?
3
Let q = -5 + -1. Let r be (q/(-4) + -1)*0. Suppose r = 5*s + 3*n - 70 + 21, -3*s + 30 = 2*n. What is the units digit of s?
8
Let t(j) be the second derivative of -2*j**2 + 0 + 1/2*j**3 - 4*j. What is the units digit of t(7)?
7
Let g = 44 + 95. What is the hundreds digit of g?
1
Let o = 116 - 70. What is the tens digit of o?
4
Let r(m) = -m**2 + 20*m - 21. What is the tens digit of r(14)?
6
Let d(m) = -m**3 - 8*m**2 + 9*m + 12. Let n be (-1*12 + 3)*1. What is the tens digit of d(n)?
1
What is the units digit of (7 + -1)*-1*-1?
6
Let d(r) = r**3 - 9*r**2 + 8*r + 3. Let v be d(8). Suppose v*b = -b + 100. What is the units digit of (-116)/(-10) + 10/b?
2
Suppose -4*v = -5*u + 3*u - 8, -4*v - 40 = 2*u. Let p = -28 + 32. What is the units digit of (22/(-6))/(p/u)?
1
Suppose 9*w = 10*w - 33. What is the units digit of w?
3
Suppose 0 = -12*t + 897 + 1035. What is the hundreds digit of t?
1
Let v(i) be the third derivative of i**4/24 - i**3/3 - i**2. Suppose -5*r + 10 = -5*w + 35, w - 3*r = 5. What is the units digit of v(w)?
3
Suppose 0 = -n - 3*n - 20. What is the units digit of (n - -2) + 21 + 2?
0
Suppose 0 = -2*d + u + 240, 0 = 3*d - d + 5*u - 240. Suppose d = -a + 6*a. What is the units digit of a?
4
Let b = 54 + -32. Let u be 106/b - (-6)/33. Suppose 4*c = -3*h + 13, u*c + 0*h = -4*h + 16. What is the units digit of c?
4
Let h(r) = r**2 + 7*r. Let t be h(-6). Let m be (t/(-4))/(6/16). Suppose -2*x + 5*x = y + 8, y = -x - m. What is the units digit of x?
1
Let b(x) = -3*x**2 + x - 1. Suppose -z - 4 = -0*o - o, z + 3 = 0. Let h be b(o). Let p(n) = n + 4. What is the units digit of p(h)?
1
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
c**2 + 11*c - 38. Give m(12).
-50
Let a(l) = -l**2 - 7*l - 5. Give a(-4).
7
Let q(n) = -6*n + 2. What is q(5)?
-28
Let q(l) = l - 2. Calculate q(5).
3
Let g(w) = 4*w - 64. What is g(14)?
-8
Let g(y) = -5*y - 27. Give g(-6).
3
Let t(q) = -q**2 + 9*q + 8. Calculate t(-4).
-44
Let o(p) = 44*p + 136. Give o(-3).
4
Let o(y) = -14*y - 11. Determine o(-2).
17
Let f(o) = o + 29. Determine f(-16).
13
Let s(t) = -t**3 + 6*t**2 - 4*t - 4. Calculate s(4).
12
Let w(o) = -o**2 - 10*o - 15. Give w(-11).
-26
Let q(y) = -y**3 - 6*y**2 + 2*y + 4. Give q(-5).
-31
Let f(x) = -21*x - 132. Calculate f(-7).
15
Let z(u) = -12*u - 121. Determine z(-8).
-25
Let z(k) = k**3 - 10*k**2 - 11*k - 4. Determine z(11).
-4
Let v(q) = 132*q + 918. Calculate v(-7).
-6
Let g(a) = a**3 + 10*a**2 + 12*a - 8. Determine g(-9).
-35
Let v(h) = h**2 - 17*h - 18. Determine v(18).
0
Let g(b) = b**3 - 6*b**2 + 5*b + 1. Calculate g(4).
-11
Let y(o) = o**2 - 33*o - 22. Determine y(35).
48
Let o(z) = -6*z - 16. Calculate o(-7).
26
Let o(y) = y**3 - 4*y**2 - 6*y + 15. Calculate o(5).
10
Let y(s) = -s**3 + 8*s**2 - 5*s - 8. Calculate y(8).
-48
Let x(w) = 3*w**2 + w - 4. Determine x(2).
10
Let x(p) = p**3 - 2*p**2 - 38*p + 20. Give x(7).
-1
Let s(p) = -5*p - 13. What is s(-3)?
2
Let u(y) = 2*y**2 + 8*y + 11. Give u(-4).
11
Let q(m) = 4*m**2 + 14*m - 370. What is q(8)?
-2
Let x(m) = -m**2 - 9*m + 9. Calculate x(-13).
-43
Let f(k) = -k - 10. Give f(-10).
0
Let x(a) = 6*a + 48. Give x(-6).
12
Let t(j) = -4*j + 23. Give t(6).
-1
Let y(a) = -a**2 + 9*a - 33. What is y(9)?
-33
Let w(c) = -4*c**2 + 54*c + 20. Give w(14).
-8
Let m(h) = -21*h - 337. Give m(-16).
-1
Let z(g) = -g**3 - 18*g**2 + 39*g - 16. Calculate z(-20).
4
Let v(c) = 25*c - 73. Give v(3).
2
Let l(z) = -23*z + 28. Give l(-6).
166
Let h(r) = -3*r + 9. Determine h(4).
-3
Let j(y) = y**3 + 7*y**2 - 7*y - 4. Give j(-8).
-12
Let j(w) = w**2 - w - 11. Determine j(-4).
9
Let b(h) = -4*h + 178. Calculate b(37).
30
Let q(x) = -3*x - 17. Determine q(0).
-17
Let q(f) = -f**2 + 4*f - 2. Give q(3).
1
Let w(h) = -2*h**2 + 7*h + 2. Calculate w(5).
-13
Let y(x) = x**2 - 8*x - 2. Give y(7).
-9
Let h(a) = 34*a**2 - 3*a - 2. What is h(-1)?
35
Let f(j) = j**3 + 13*j**2 - 31*j - 11. What is f(-15)?
4
Let l(q) = q**2 + 12*q + 20. What is l(-10)?
0
Let z(f) = -f**3 - 4*f**2 + 17*f + 15. Calculate z(-6).
-15
Let t(x) = -x**3 - 12*x**2 - 34*x + 2. Calculate t(-7).
-5
Let m(j) = -j**3 - 13*j**2 + 16*j + 35. Calculate m(-14).
7
Let b(v) = v**2 - 20*v - 108. Give b(-5).
17
Let r(w) = 2*w**3 - 23*w**2 + 11*w - 9. Calculate r(11).
-9
Let q(m) = m + 8. Determine q(8).
16
Let a(o) = -o**2 + o + 9. Determine a(5).
-11
Let c(a) = a**2 + 3*a - 14. Calculate c(6).
40
Let o(i) = -i**2 - 8*i - 17. What is o(-6)?
-5
Let s(k) = -17*k - 1. Calculate s(1).
-18
Let s(n) = -n**2 - 10*n - 36. Determine s(-8).
-20
Let g(n) = -n**3 + 4*n**2 + 6. What is g(4)?
6
Let y(d) = 3*d - 61. Calculate y(17).
-10
Let f(z) = -z + 1. What is f(-4)?
5
Let m(j) = j**2 + 10*j + 9. Determine m(-6).
-15
Let a(m) = -m**2 + 7. Calculate a(5).
-18
Let j(l) = 2*l**3 + 7*l**2 - 2*l + 14. Determine j(-4).
6
Let n(u) = u**2 - 9*u - 39. Calculate n(-3).
-3
Let v(i) = 3*i**2 - 67*i + 23. Calculate v(22).
1
Let p(l) = 5*l**2 - 13*l + 26. Determine p(2).
20
Let o(g) = 24*g - 174. Give o(8).
18
Let m(q) = q + 10. Calculate m(18).
28
Let n(i) = -i**2 - 42*i - 78. Calculate n(-40).
2
Let t(x) = x**3 + 2*x**2 + 4*x + 1. Calculate t(-3).
-20
Let c(j) = -6*j**2 + 3. Determine c(-2).
-21
Let z(v) = v**3 - 3*v - 5. Calculate z(4).
47
Let b(o) = -2*o**2 + 5*o + 4. Determine b(7).
-59
Let h(p) = -p**3 - 16*p**2 - 20*p - 65. Determine h(-15).
10
Let m(o) = o**3 + 2. Calculate m(0).
2
Let x(b) = b**3 - 5*b**2 - 8*b + 8. Calculate x(6).
-4
Let k(y) = -6*y**2 + 6. Determine k(-3).
-48
Let v(c) = -24*c - 188. Determine v(-8).
4
Let j(h) = -h**2 + 2*h + 2. Calculate j(-4).
-22
Let l(n) = n + 5. Calculate l(-11).
-6
Let q(u) = u**3 + 7*u**2 - 2*u - 7. Calculate q(-7).
7
Let j(u) = -25*u - 9. Determine j(0).
-9
Let j(v) = v**2 + 13*v - 46. Give j(5).
44
Let b(k) = -2*k + 4. Give b(3).
-2
Let f(i) = i**3 + 3*i**2 + 2*i + 21. What is f(-4)?
-3
Let i(s) = s**3 - 8*s**2 + 11*s. Give i(6).
-6
Let q(u) = -3*u**3 - 3*u**2 - 6*u - 13. What is q(-3)?
59
Let h(g) = g**2 + 3*g - 8. Calculate h(-4).
-4
Let s(q) = 9*q + 193. Calculate s(-23).
-14
Let w(u) = -2*u + 7. Determine w(8).
-9
Let b(a) = -a**2 - 12*a + 32. Give b(3).
-13
Let f(n) = n**2 + 13*n + 10. Determine f(-7).
-32
Let r(n) = -2*n**2 + 11*n - 7. Determine r(4).
5
Let u(i) = -i**2 + 21*i + 47. Give u(22).
25
Let w(o) = o**2 - 8*o - 8. What is w(8)?
-8
Let v(m) = -m**2 + 9*m + 112. Give v(-7).
0
Let f(c) = c + 2. Calculate f(-3).
-1
Let w(u) = -2*u - 23. Give w(-10).
-3
Let n(v) = -4*v**3 - v**2 + 6*v - 5. What is n(1)?
-4
Let g(p) = -p**3 + 29*p**2 - 27*p - 37. Give g(28).
-9
Let x(r) = -r + 6. Give x(-10).
16
Let x(n) = -n**3 + 10*n**2 - 10*n + 7. Calculate x(9).
-2
Let c(m) = -3*m**2 - 4*m + 1. Calculate c(-2).
-3
Let f(o) = o - 1. What is f(1)?
0
Let h(v) = -v**3 - 8*v**2 + 20*v - 5. Calculate h(-10).
-5
Let d(k) = -k - 1. Give d(0).
-1
Let q(l) = -l**3 - 8*l**2 - 12*l - 3. Give q(-3).
-12
Let v(r) = r + 26. What is v(-17)?
9
Let y(u) = 4*u + 75. Determine y(-19).
-1
Let u(f) = 9*f**2 + 2*f. Give u(-3).
75
Let w(f) = f**3 + 15*f**2 + 15*f + 9. Determine w(-14).
-5
Let v(n) = -n**3 - 5*n**2 + 15*n - 6. Determine v(-7).
-13
Let j(a) = 9*a - 1. What is j(1)?
8
Let b(d) = d**2 + 3*d - 3. What is b(2)?
7
Let s(k) = k**3 + 12*k**2 + 37*k + 11. Give s(-6).
5
Let i(b) = b**2 + 9*b + 6. Determine i(-8).
-2
Let n(r) = -23*r**3 + r**2 + r - 1. Calculate n(1).
-22
Let q(s) = -s**3 - s**2 + 17*s + 7. Determine q(-5).
22
Let h(w) = w**2 - w + 6. Determine h(0).
6
Let i(l) = -10*l**3 + 2*l**2 - 7*l + 5. Calculate i(1).
-10
Let h(w) = w**3 + 4*w**2 + w - 1. Calculate h(-4).
-5
Let b(h) = 2*h**3 - 37*h**2 - 19*h + 1. Calculate b(19).
1
Let l(x) = -x + 3. Determine l(-12).
15
Let a(i) = -i**2 - i + 11. What is a(0)?
11
Let q(j) = j**3 + j**2 - j - 9. Determine q(0).
-9
Let y(m) = -2*m**2 + 9*m + 14. Calculate y(8).
-42
Let u(i) = i + 11. Give u(-9).
2
Let b(a) = -a**2 - 7*a. What is b(-6)?
6
Let k(r) = -3*r - 2. Determine k(5).
-17
Let y(x) = x**3 + 12*x**2 + 15*x - 47. What is y(-10)?
3
Let i(u) = -32*u + 41. Give i(1).
9
Let p(u) = 2*u - 49. What is p(16)?
-17
Let i(a) = -7*a - 88. What is i(-8)?
-32
Let c(j) = j**3 - 2*j**2 + j - 4. Determine c(3).
8
Let r(g) = g + 29. Calculate r(0).
29
Let g(i) = 31*i + 108. Calculate g(-4).
-16
Let b(g) = 11*g**2 - 6*g - 8. Give b(-2).
48
Let t(c) = -8*c**2 - 18*c - 3. Calculate t(-1).
7
Let w(u) = -4*u**2 - 3*u - 1. Give w(-2).
-11
Let n(g) = -11*g + 209. Calculate n(19).
0
Let i(u) = 18*u**2 - 2. Determine i(-1).
16
Let y(m) = -2*m**2 + 10*m - 19. What is y(6)?
-31
Let c(k) = -k + 17. Determine c(11).
6
Let b(o) = -3*o + 27. Determine b(11).
-6
Let s(f) = -f**3 + 28*f**2 + f - 31. Determine s(28).
-3
Let a(n) = -n**3 + 3*n**2 - n - 6. What is a(3)?
-9
Let y(q) = -q**2 - q + 2. What is y(7)?
-54
Let h(g) = -g**3 - 8*g**2 + 3*g + 17. Give h(-8).
-7
Let p(d) = -d**3 - 12*d**2 - 10*d - 16. Give p(-11).
-27
Let s(u) = -9*u + 16. What is s(2)?
-2
Let f(a) = 5*a - 14. Calculate f(0).
-14
Let f(l) = l - 22. Calculate f(5).
-17
Let h(x) = 2*x**2 + 2*x + 1. Determine h(-3).
13
Let l(u) = -u**2 + u + 18. Give l(0).
18
Let r(p) = -3*p + 28. Calculate r(7).
7
Let y(v) = -v**3 + 13*v**2 - 11*v - 4. Calculate y(12).
8
Let w(h) = h**3 + 7*h**2 + 8*h + 15. Calculate w(-6).
3
Let i(d) = -d**3 - 13*d**2 - 11*d + 9. What is i(-12)?
-3
Let y(r) = 5*r**2 + 2*r + 3. What is y(-2)?
19
Let v(y) = y - 7. Calculate v(1).
-6
Let i(b) = -b. Determine i(-5).
5
Let w(g) = 4*g**3 - 5*g**2 + 2*g + 5. What is w(3)?
74
Let d(x) = 5*x + 133. Calculate d(-39).
-62
Let g(a) = 3*a**2 + 2*a + 13. Calculate g(0).
13
Let g(b) = b**2 + 12*b + 8. Determine g(-10).
-12
Let d(g) = g**3 - g - 9. What is d(0)?
-9
Let m(a) = 15*a - 24. Determine m(0).
-24
Let i(t) = 9*t**2 + 7*t + 7. Determine i(-2).
29
Let o(d) = -d**3 + 2*d**2 + 7*d - 12. Determine o(2).
2
Let j(l) = -l**2 + 7*l - 5. Calculate j(5).
5
Let l(c) = 5*c + 5. Calculate l(-5).
-20
Let o(d) = -d**3 - 4*d**2 + 4*d + 3. What is o(-2)?
-1
|
{
"pile_set_name": "DM Mathematics"
}
|
(-11). Let v = 283 + x. Find g such that 64/7 - 2/7*g**3 + 20/7*g**v - 64/7*g = 0.
2, 4
Let r be (-62)/(-341) + (-42)/(-11). Suppose 6*i + r*i - 30 = 0. Factor 0 + 1/3*z + 0*z**i - z**2 + 4/3*z**4.
z*(z + 1)*(2*z - 1)**2/3
Let l(o) be the third derivative of 7*o**5/150 + 9*o**4/10 - 16*o**3/15 + 150*o**2. Solve l(i) = 0.
-8, 2/7
Let p = 214 + -211. Suppose p*q - 4*m = -0*q - 1, 0 = 5*q - 3*m - 2. Find x, given that -17/4*x**2 - q - 4*x - 5/4*x**3 = 0.
-2, -1, -2/5
Let a be ((-381)/(-30) + -11 + -2)/(3/(-5)). Find h, given that -1/2*h**2 + h + 0 - a*h**3 = 0.
-2, 0, 1
Let h(z) be the third derivative of z**5/120 - 13*z**4/8 + 507*z**3/4 - 3*z**2 - 603. Suppose h(p) = 0. Calculate p.
39
Let w be (-132335)/(-398) - (1 + 0)*-1. Let a = 344 - w. Factor 111/2*x - 15 - a*x**2.
-3*(x - 5)*(7*x - 2)/2
Let v(r) be the third derivative of -r**7/1155 - r**6/165 + 13*r**5/330 + r**4/33 - 4*r**3/11 - 3287*r**2. What is m in v(m) = 0?
-6, -1, 1, 2
Let i(q) be the second derivative of q**4 - 3869*q**3/2 + 2901*q**2/2 - 16*q + 62. Factor i(l).
3*(l - 967)*(4*l - 1)
Determine x so that 1/2*x**4 + 325/2 - 2*x**3 - 51*x**2 - 110*x = 0.
-5, 1, 13
Let t(o) be the third derivative of -o**7/3360 + o**6/1440 + o**5/480 - o**4/96 - 4*o**3/3 - o**2 - 5. Let i(n) be the first derivative of t(n). Factor i(f).
-(f - 1)**2*(f + 1)/4
Find z, given that 0*z**2 + 42*z**2 - 30*z**2 - 628*z**3 - 21 + 1277 - 4*z**4 + 1892*z = 0.
-157, -1, 2
Let u(g) = 5*g**2 - 11*g - 27. Let q be u(-2). Solve 21*c**4 + 33*c**3 + 3*c**2 + 12*c**2 - 12*c**5 + q*c**5 = 0 for c.
-5, -1, 0
Factor -2/15*x**2 + 182/15*x - 12.
-2*(x - 90)*(x - 1)/15
Find q, given that -24832*q**3 + 25420*q**3 + q**4 + 3*q**4 - 1188*q**2 + 383*q + 213*q = 0.
-149, 0, 1
Let o(i) = i**3 - 6*i**2 - 3*i + 14. Let r be o(5). Let t be 196/637*r/(-12). Determine p so that 1/6*p + 0 - 2/3*p**4 - t*p**2 + 1/6*p**5 + p**3 = 0.
0, 1
Let d(b) be the first derivative of -5*b**6/6 - 78*b**5 - 1995*b**4 - 14440*b**3/3 + 298. Find a such that d(a) = 0.
-38, -2, 0
Let a(q) = 6*q - 241. Let f be a(53). Let b be 168/f - (4 - 2). Find j such that -6/11*j - b + 8/11*j**2 = 0.
-1/4, 1
Let p = -2/247885 + 89239/49577. Solve -3/5*d**4 + 0*d**3 + p*d**2 + 0 - 6/5*d = 0.
-2, 0, 1
Let v be ((-195)/(-50))/13*(-1440)/(-216). Factor -7/8 - 45/2*w**v + 31/4*w + 81/4*w**3 + 27/8*w**4.
(w + 7)*(3*w - 1)**3/8
Let d(b) = -b**2 + 3. Let z(j) = -22*j**4 + 48*j**3 - 16*j**2 + 24. Let f(c) = 8*d(c) - z(c). Factor f(p).
2*p**2*(p - 2)*(11*p - 2)
Let p(l) be the second derivative of -l**7/630 - l**6/45 - 2*l**5/15 - 4*l**4/9 + l**3/2 - 25*l. Let w(t) be the second derivative of p(t). Factor w(y).
-4*(y + 2)**3/3
Factor 4/5*x**2 + 0 - 24*x.
4*x*(x - 30)/5
Let s(n) be the third derivative of n**5/15 + 343*n**4/8 + 257*n**3/6 - 12*n**2 - 3*n - 86. Factor s(b).
(b + 257)*(4*b + 1)
Factor 2/9*j**3 - 12 - 6*j + 0*j**2.
2*(j - 6)*(j + 3)**2/9
Let o(z) be the third derivative of 13/108*z**4 - 4/135*z**5 + 0 + 0*z - 32*z**2 + 1/540*z**6 - 2/9*z**3. What is b in o(b) = 0?
1, 6
Let s(l) be the first derivative of -44/17*l - 13/17*l**2 - 49 - 2/51*l**3. Let s(f) = 0. What is f?
-11, -2
Let b(k) = k**3. Let d(g) = 4*g**3 + 12*g**2 + 40*g. Let z be (-10 - -4) + 8 - (-1)/(-1). Let i(p) = z*d(p) - 8*b(p). Find q, given that i(q) = 0.
-2, 0, 5
Let x(z) be the second derivative of 3585*z**4/4 - 10745*z**3/6 - 5*z**2 - 52*z + 5. Determine o, given that x(o) = 0.
-2/2151, 1
Let d(g) = 29*g - 145. Let n be d(5). Suppose n = 5*v - 34 + 14. Solve 8/9*p + 0*p**2 - 2/9*p**v - 2/3*p**3 + 0 = 0 for p.
-2, 0, 1
Let l be (3/(-6) + 0 + (-1)/(-12))*(-1785)/595. Factor 0 + 1/8*k**3 + 0*k - l*k**2.
k**2*(k - 10)/8
Let s(u) = 2*u**2 + 5*u - 8. Let c(y) = -3*y**3 - 1373*y**2 - 155969*y - 154555. Let d(m) = c(m) + 4*s(m). Factor d(i).
-3*(i + 1)*(i + 227)**2
Suppose 582*x**2 - 26*x + 576*x**2 + 2*x**3 + 2*x - 1150*x**2 = 0. What is x?
-6, 0, 2
Determine v, given that 48/7 + 20/7*v + 2/7*v**3 - 26/7*v**2 = 0.
-1, 2, 12
Let x(l) be the first derivative of -1/2*l**2 - 4/3*l + 225 - 1/18*l**3. Find t, given that x(t) = 0.
-4, -2
Let h(w) be the first derivative of -2*w**6/9 - 296*w**5/15 - 1510*w**4/3 - 21008*w**3/9 - 12530*w**2/3 - 9800*w/3 + 6779. What is q in h(q) = 0?
-35, -2, -1
Factor 85/2*d**2 - 42*d + 0 - 1/2*d**3.
-d*(d - 84)*(d - 1)/2
Let i(m) be the third derivative of m**6/360 - 163*m**5/180 + 7031*m**4/72 - 31205*m**3/18 - 2847*m**2. Solve i(l) = 0 for l.
5, 79
Suppose -303407 = -7*n - 6*n. Suppose -1716 + n = 7*r. Factor 3*h**4 - 6*h + 3086*h**2 + 2*h**3 - r*h**2 + 4*h**3.
3*h*(h - 1)*(h + 1)*(h + 2)
Let s(g) = -6*g**2 + g - 4. Let d(v) be the third derivative of -13*v**5/60 + v**4/24 - 3*v**3/2 - 20*v**2. Let a(f) = -4*d(f) + 9*s(f). Factor a(t).
-t*(2*t - 5)
Let y(d) be the first derivative of d**3/12 - 27*d**2/4 + 729*d/4 + 3542. Factor y(k).
(k - 27)**2/4
Suppose 5*f = 5 + 5. Let u be -6 + (23 + -22)*1*8. Factor n**u + 2*n**2 - 3*n**2 + n**f + n.
n*(n + 1)
Let o(l) be the third derivative of -l**5/10 - 49*l**4/16 - 3*l**3 + 1976*l**2. Factor o(h).
-3*(h + 12)*(4*h + 1)/2
Find d such that 454*d - 206116 - 1/4*d**2 = 0.
908
Factor 304/3*o - 52*o**2 + 0 + 2/3*o**3.
2*o*(o - 76)*(o - 2)/3
Let s(w) be the second derivative of -w**7/21 + 26*w**6/15 - 57*w**5/5 + 98*w**4/3 - 149*w**3/3 + 42*w**2 + 30*w + 5. Factor s(n).
-2*(n - 21)*(n - 2)*(n - 1)**3
Factor 80 - 13 + 5*m**2 + 9 + 29 - 110*m.
5*(m - 21)*(m - 1)
Let l(f) be the first derivative of -107 + 4/21*f**2 - 1/6*f**4 + 0*f - 8/21*f**3. Find s, given that l(s) = 0.
-2, 0, 2/7
Let f(w) be the second derivative of -w**7/504 + 7*w**6/48 + 23*w**5/12 + 23*w**4/2 - 90*w. Let o(q) be the third derivative of f(q). Factor o(n).
-5*(n - 23)*(n + 2)
Let q(c) be the second derivative of c**5/20 - 79*c**4/12 - 122*c**3/3 - 82*c**2 + 12*c - 218. Factor q(j).
(j - 82)*(j + 1)*(j + 2)
Let d = 892 - 891. Suppose 4 = 2*c + 4*x, 0 = 3*c - 6*c + x - d. Factor -8/3*t**2 + 2/3*t**3 + c + 2*t.
2*t*(t - 3)*(t - 1)/3
Let l(a) = 9*a**3 + 60*a**2 + 332*a + 336. Let h(u) = 7*u**3 + 67*u**2 + 334*u + 336. Let z(w) = 4*h(w) - 3*l(w). Factor z(q).
(q + 2)**2*(q + 84)
Let 9/4*r - 1/4*r**2 + 13 = 0. What is r?
-4, 13
Suppose 188*l + 12 - 576 = 0. Factor 34/9*k**2 + 2/9*k**4 + 34/9*k + 14/9*k**l + 4/3.
2*(k + 1)**2*(k + 2)*(k + 3)/9
Let i(k) be the second derivative of -k**7/14 + 13*k**6/5 + 87*k**5/20 - 27*k**4/2 - 2138*k. Determine u so that i(u) = 0.
-2, 0, 1, 27
Let o(t) be the first derivative of 2*t**5/35 + 99*t**4/14 + 2294*t**3/7 + 6727*t**2 + 357492*t/7 + 1219. Factor o(f).
2*(f + 6)*(f + 31)**3/7
Let h(j) be the first derivative of 5*j**5 + 2635*j**4/4 + 27375*j**3 + 639905*j**2/2 + 242990*j + 6759. Suppose h(k) = 0. What is k?
-47, -11, -2/5
Suppose -32 = -y - 20. Suppose 3*c - 3*i = 0, -11*i = 2*c - y*i - 3. Determine l so that 3/2*l**c - 3/2 - 3/2*l + 3/2*l**2 = 0.
-1, 1
Let v(y) be the third derivative of -5184*y**5/5 - 12*y**4 - y**3/18 - y**2 + 417*y - 2. Find t such that v(t) = 0.
-1/432
Let n(y) be the first derivative of y**3/6 + 190*y**2 + 72200*y + 2334. Factor n(a).
(a + 380)**2/2
Let c be (-56)/3920*-245*(11/(-14) + 1). Let p be (-4 + 0)*(-2)/4. Factor 27/4*g**p + 81/4*g + c*g**3 + 81/4.
3*(g + 3)**3/4
Determine z so that -4*z**2 + 468*z + 1551 - 2187 - 4772 = 0.
13, 104
Factor 3495*t - 3*t**2 - 4 - 3612*t + 4.
-3*t*(t + 39)
Let f(n) be the second derivative of 3*n**5/100 - 7473*n**4/20 + 18615243*n**3/10 - 46370570313*n**2/10 + 10644*n. Solve f(g) = 0.
2491
Let y(c) be the second derivative of 2*c**6/15 - 78*c**5/5 + 440*c**4/3 - 384*c**3 + 3607*c + 1. Determine h so that y(h) = 0.
0, 2, 4, 72
Let j(q) be the second derivative of -3/100*q**5 - 12*q**2 + 19/20*q**4 + 1 + 11/5*q**3 + 118*q. Factor j(m).
-3*(m - 20)*(m - 1)*(m + 2)/5
Let j(w) be the second derivative of -9 + 1024/9*w**2 - 64/27*w**3 + 3*w + 1/54*w**4. Factor j(s).
2*(s - 32)**2/9
Let s = -300689/4 - -75173. Solve -3/2*y**2 + s - 21/8*y = 0 for y.
-2, 1/4
Let s(z) be the second derivative of -3/8*z**2 - 7/24*z**4 + 1/168*z**7 + 43 + 1/120*z**6 - 11/24*z**3 - 3/40*z**5 - z. Determine t, given that s(t) = 0.
-1, 3
Let s be (24/(-20) + 0)*-5. Find h, given that 864 - 49*h**2 - s*h**3 + 3*h**3 + 288*h + 6*h**3 - 17*h**2 = 0.
-2, 12
Let d(v) = -2*v**4 - 2*v**3 - 8*v**2 + 16*v + 16.
|
{
"pile_set_name": "DM Mathematics"
}
|
**4 to q*s**4 + i + h*s**2 + a*s + b*s**3 and give i.
2
Express 0*n + 331 + 2*n - 1221*n**2 - 259*n**2 - 332 + 58*n**2 in the form i*n**2 + f + z*n and give i.
-1422
Express -2748*o + 145*o**3 + 2751*o + 2*o**2 - 2*o**2 + 2 + 138*o**3 as n*o**3 + h + i*o + r*o**2 and give r.
0
Express 4 + 407*x - 1006*x + 9*x as v*x + y and give v.
-590
Rearrange -10 - 12*k + 11 + 53*k - 6*k**3 to the form z*k + m*k**2 + i*k**3 + o and give z.
41
Express (4 - 1 - 1)*(6*v - v - 4*v) + (-7*v + 14*v - v)*(3 - 5 + 0) - 142*v + 9990 - 9990 in the form z*v + c and give z.
-152
Rearrange (1 + 195570*c - 3 - 194504*c)*(-5*c - 4 + 4) to the form v*c**2 + p*c + o and give o.
0
Rearrange (44923 - 44923 + 248*r)*((-1 + 1 - 3)*(0 + 1 + 3) - 4 + 3 - 1) to the form b*r + q and give b.
-3472
Rearrange -44 + 21*d - 23*d - 64 + 17*d to the form m + q*d and give q.
15
Rearrange -4967*r + 959 - 373 - 588 to the form m*r + f and give m.
-4967
Express 334*r**3 + 7 - 369*r**3 - 4*r + 11*r in the form f*r + c*r**3 + t + d*r**2 and give c.
-35
Express (-2*m + 4*m + 0*m)*(661 - 5117 - 3997 + 933 - 3700 - 2461) as w*m + b and give w.
-27362
Rearrange -v**2 - 82*v + 2319 + v**3 + 2281 + 0*v**3 - 4600 to the form q*v**3 + s*v**2 + x + r*v and give x.
0
Rearrange 495*t**2 - 157*t**2 - 165*t**2 - 47*t - 170*t**2 to the form g*t**2 + y*t + d and give y.
-47
Express -5801*w + 2 - 5782*w + 11297*w in the form x + b*w and give x.
2
Express -3*k**2 + 3 - k**3 + 33*k**3 - 2*k**2 - 10*k**3 - 10*k**3 as r + b*k + f*k**3 + s*k**2 and give b.
0
Express (s**3 - s**2 + s**2)*(5 - 3 - 1) - 13347*s + 2383*s**3 + 13347*s + (-1 + 3*s**3 + 1)*(1 - 2 + 2) as a + m*s**3 + v*s**2 + t*s and give m.
2387
Express -2*u**2 + 470*u**3 + 888*u + 892*u - 1782*u - 14*u**3 + 473*u**3 in the form z + p*u**3 + v*u**2 + i*u and give v.
-2
Rearrange (-2*n - 5 + 5)*(0 - 2 + 3) + (258*n - 375*n - 253*n)*(0 + 4 - 2) to p*n + k and give p.
-742
Express -17*g**2 - 75 - g**4 + 39*g**3 - 4*g**2 - 2*g**2 + 76 in the form i*g + y*g**4 + z*g**2 + l + c*g**3 and give y.
-1
Express 56*s**4 - 5*s - 180*s**4 + 47*s**4 - s**3 + 74*s**4 + 1 as o*s**2 + b*s**4 + y*s + h + d*s**3 and give y.
-5
Express -16*o - 15*o - 14*o - 9239*o**2 + 45*o in the form f*o + q*o**2 + g and give q.
-9239
Express 179 - 34*r**2 + 17*r**2 + 770*r**3 + 15*r**2 + 3*r - 774*r**3 in the form o*r**3 + n + b*r + g*r**2 and give n.
179
Rearrange 13*t + 14*t + 702*t**2 - 88*t**2 - 11*t to the form k*t**2 + r + a*t and give a.
16
Rearrange 24 + 883*j**2 - j + j - 86*j**2 - 22 to x*j**2 + u + r*j and give u.
2
Express (-3*c - c + 3*c + (-6 + 1 + 1)*(1 - 2*c - 1))*(-2*c + 0*c + 3*c)*(28 - 11 + 24) as h*c**2 + t + b*c and give h.
287
Express 62*a - 2*a + 276*a as i + v*a and give i.
0
Express -4059*a + 81*a - 3374*a - 1928*a as j*a + b and give j.
-9280
Express 2 + 2*b - 2 + (4*b - 2*b - 5*b)*(0 - 2 + 0) - 82*b - 80*b - 13 + 165*b in the form j + o*b and give j.
-13
Express -128*f - 134*f + 2*f**2 - 133*f + 4*f**3 + 398*f in the form d*f**2 + a + q*f**3 + b*f and give q.
4
Rearrange -269 + 759 - 559 - 5*k - 355 to r + i*k and give i.
-5
Express (n**2 - 4*n**2 + 2*n**2)*(2 - n - 2) + 6944800*n - 6944800*n - 3336*n**3 + 7*n**3 + 16 - 16 as u + c*n**2 + s*n**3 + w*n and give s.
-3328
Express -4*k**3 + k**3 - 2*k**3 - 17*k**2 + 14*k**3 + 17*k**2 + (-5 - 3*k**3 + 5)*(5 - 3 - 1) + k**3 + 4 - 4 in the form v*k + y*k**2 + m*k**3 + p and give m.
7
Express (38 - 59 - 54)*(-2 + 2 - 4*p)*(9719*p - 9720*p - 5 - 18) in the form b*p**2 + q + s*p and give s.
-6900
Rearrange -191*b**3 + 97*b**3 + 94*b**3 + b**2 - 40*b + 37*b - b**4 - 3 to p*b**2 + l*b + t*b**3 + d*b**4 + j and give j.
-3
Express -1163*g**2 + 7*g - 2*g - 7*g + 6*g - 5*g in the form o + s*g**2 + n*g and give n.
-1
Express 348*z - 2 - 1294*z + 381*z in the form n*z + k and give k.
-2
Express 23*o**4 - 23*o**4 + 29*o**4 - 4*o**2 - 20*o**4 + 4*o**2 + (1 + 0 + 2)*(0*o**4 + 2*o**4 + 0*o**4) as q*o**4 + g + p*o**2 + s*o**3 + f*o and give q.
15
Express 16*a - 23*a**3 - 13*a**3 + 46*a**3 + 128 - 12*a**3 + a**2 - 2*a**4 in the form i*a**2 + q*a + m*a**4 + t + j*a**3 and give q.
16
Express (-2*l + 2*l + 2*l**2)*(2657*l + 880 + 862 + 878 - 2619) in the form h*l**3 + i*l + f + d*l**2 and give h.
5314
Rearrange 26388 + 26395 - 52783 - 1988*n to a + q*n and give q.
-1988
Rearrange 496 - 948 + 452 - 13585*w to the form u*w + b and give u.
-13585
Express (78*z**2 + 50*z - 50*z)*(15*z - 1 - 35*z + 21*z) + 3*z**3 + z**3 - 3*z**3 in the form o + i*z**3 + v*z**2 + q*z and give v.
-78
Express 43*u**2 - 14 + 2*u - 103 - 167*u**2 - 32 + 125*u**2 in the form n + g*u**2 + p*u and give p.
2
Express (0 + 4 - 2)*(-39*h + 1 + 59*h + 23*h - 2)*(51 + 59 - 37) as r*h + l and give r.
6278
Express 27*h - 3*h - 3*h + 17*h - 2 + 9*h - 24*h**2 in the form u*h**2 + w + c*h and give u.
-24
Express 110 + 14*g**4 - 110 + (1 - 4 + 0)*(4*g**4 + 0*g**4 - 3*g**4) + g**4 + 3*g**4 - 10*g**4 in the form y*g**4 + p*g**2 + j + o*g + i*g**3 and give y.
5
Rearrange (-2*s**2 - 2*s + 2*s)*(852*s + 21013*s + 34938*s + 10625*s) to j*s**2 + y*s + n*s**3 + x and give n.
-134856
Rearrange -63*z + 691 - 691 + (2*z - 5*z + 2*z + z + z - 3*z + (-4 + 2 + 0)*(-5*z + 3*z + 3*z))*(1 + 3 - 6) to the form h + m*z and give h.
0
Rearrange (23*k**2 - 4*k**2 + 20*k**2)*(13*k**2 + 59*k**2 + k**2 + (5 - 1 - 2)*(-k + k - 2*k**2)) to the form f + b*k + i*k**2 + y*k**3 + w*k**4 and give w.
2691
Express -4*q**3 - 13 - q**3 + 9*q**4 + 6*q**3 + 108*q**4 + 67*q**4 as x*q**3 + n + o*q**2 + d*q**4 + j*q and give d.
184
Express -5 - h**4 + h**2 - 225*h**3 + 38*h**3 + 3 as x*h**4 + d*h**2 + p + k*h**3 + q*h and give p.
-2
Express (4923 - 1773 + 7166 + 1492)*(0 - 1 + 3)*(-1 + 2 + 0)*(l + 2*l + 0*l) in the form x*l + k and give x.
70848
Express (0 + l + 0 + 1 - 1 - 2*l + (-3*l + 4*l - 2*l)*(-3 + 0 + 5) + l - 4*l + 4*l - 2 - l + 2)*(7725 - 2713 + 1226) as r + y*l and give y.
-18714
Rearrange -4*a**3 - 2 - 2*a**2 - 2710*a + 2688*a + 2*a**4 - a**3 to x*a + m*a**4 + b*a**2 + o + z*a**3 and give m.
2
Express -93*x**2 + 87*x**2 - 165 + 7*x**2 + 38 - 5*x**3 as d + l*x**2 + v*x + i*x**3 and give i.
-5
Express -119700*u**2 + u + 119700*u**2 + u**3 - 414 + (-4*u**2 - 2*u**2 + 4*u**2)*(-4*u + 17*u - 3*u) as y*u**2 + g*u**3 + t + x*u and give g.
-19
Express -5*n**2 - 136*n + 21 + 19 + n**3 - 20 + 138*n as t + f*n**2 + p*n + b*n**3 and give f.
-5
Rearrange (-24*s**2 + s**3 + 24*s**2)*(-s + s - 2*s)*(-2063 - 878 + 3666) to y + d*s**4 + q*s**3 + l*s**2 + z*s and give d.
-1450
Express 2 + 2*a**3 + 104*a**2 - 2*a**4 + 766*a - 2 + 0 - 769*a in the form x*a + f*a**4 + q*a**2 + n*a**3 + r and give x.
-3
Rearrange 3*r**2 + 2006 - 4*r**2 + 2046 + 2*r - 4006 - 12*r**3 to the form k*r**2 + t*r + o + n*r**3 and give k.
-1
Rearrange 0*c**2 - 4*c**2 - c + 42*c**4 - 323 + 2*c**2 - 22*c**4 - 21*c**4 + 2*c**3 to p*c + r*c**4 + n*c**3 + q + s*c**2 and give n.
2
Express 63 - 6611*v - v**2 + 13243*v - 6627*v in the form m*v + r + c*v**2 and give m.
5
Rearrange -100*r - 12 - 310*r + 70*r to the form j*r + a and give a.
-12
Express 15553*g**3 + 8*g**2 - 10*g**2 - 15551*g**3 - 94*g - 2*g**2 as n*g**2 + w*g**3 + v + r*g and give r.
-94
Rearrange 3*t**2 - 702*t - 718*t + 1 + 1277*t to the form v*t + d + a*t**2 and give a.
3
Rearrange 0*c + 0*c - c + (4 + 2 - 4)*(-3*c + 3*c + 2*c) - 2*c - 1 + 1 + 3*c - c + 0*c + (2*c + 0*c + 815 - 782)*(-3 + 11 - 10) to the form b*c + a and give b.
-1
Express -37*t - 12 + 18 - 2 + 7 - 62*t as f + w*t and give f.
11
Express -19838*d**2 + 9915*d**2 + 0*d + 21*d**3 - d - 5 - 4*d**4 + 9924*d**2 in the form y + m*d**2 + k*d**4 + f*d**3 + g*d and give g.
-1
Express 2*q**3 - 13*q**2 + 5*q**2 - 7*q**2 + 171 + 3*q + 7*q**2 + 6*q**2 as y + v*q**2 + j*q**3 + f*q and give v.
-2
Express 85 - 6590*f - 38 - 47 as h + o*f and give o.
-6590
Express (4*o + 0*o + 0*o)*(687 + 297 + 699 + 30) + 2*o + 0 + 0 + (1 + 4 - 3)*(-3*o + 0*o + o) in the form f*o + q and give f.
6850
Rearrange (-1859*m + 393 + 919*m + 937*m)*(3*m + 2*m - 3*m) to the form d*m + c + z*m**2 and give d.
786
Express 9*v**2 + 17 - 17 + (6*v + 2*v - v)*(-3*v + 15*v + 17*v) as y + b*v**2 + u*v and give b.
212
Express -9 + 2 + 6 + 14*t**2 + 72*t**2 in the form r*t + i*t**2 + m and give i.
86
Express 514182*v**2 - 7 - 514186*v**2 - v**3 + 3*v**3 - 2*v**4 + 2*v as d*v**
|
{
"pile_set_name": "DM Mathematics"
}
|
. Determine j(u(w)).
-15*w**2
Let r(s) = 6085547 - 6085547 - 53*s. Let k(t) = t**2. Determine r(k(b)).
-53*b**2
Let t(h) = 12*h. Let d(s) = -6*s - 5. Let a(l) = 35*l - 5. Let b(u) = -a(u) - 6*d(u). Calculate t(b(x)).
12*x + 420
Let d(r) = 17498*r**2. Let a(f) = -8*f + 2. Let n(o) = -10*o + 2. Let q(i) = -a(i) + n(i). Give q(d(p)).
-34996*p**2
Let o(y) = -9*y. Let b(x) = 14*x + 821 - 817 - 15*x. What is b(o(d))?
9*d + 4
Let q(k) be the third derivative of -k**5/6 - 2933*k**2 + 1. Let g(n) = -543*n. What is q(g(d))?
-2948490*d**2
Let i(j) = -37. Let s(r) = -r - 1. Let p(o) = i(o) - 37*s(o). Let d(t) be the first derivative of -t**3/3 - 20. What is d(p(u))?
-1369*u**2
Let q(k) = 397*k - 13494. Let d(c) = c. Calculate d(q(l)).
397*l - 13494
Let d(i) = 4*i**2. Suppose 3 = -3*q - 6, -q - 26 = -o. Let j = -18 + o. Let n(x) = -1 + 1 + 7*x**2 - j*x**2. What is n(d(h))?
32*h**4
Let u(s) be the second derivative of 58*s**4/3 + 7053*s. Let y(z) = -11*z. What is y(u(f))?
-2552*f**2
Let g(y) = -y + 115. Let z(k) = -81*k**2 - 8*k + 8. Let v(s) = 213*s**2 + 21*s - 21. Let m(j) = 8*v(j) + 21*z(j). Give g(m(h)).
-3*h**2 + 115
Let b(s) = -976*s**2. Let t(x) = -16648 + 8328 + 8320 - 2*x**2. Calculate t(b(w)).
-1905152*w**4
Let q(g) = -177*g + 5. Let i(b) = -b**2. What is i(q(n))?
-31329*n**2 + 1770*n - 25
Let v(a) = -14*a**2 - 2. Let q(g) = 205*g - 9. What is q(v(k))?
-2870*k**2 - 419
Let s(i) = -397729524*i. Let d(n) = -3*n. What is s(d(x))?
1193188572*x
Suppose 524 = 8*n + 36. Let y(h) = -51*h**2 + n*h**2 - 36*h**2. Let f(j) = -2*j. Let k(o) = -o. Let x(w) = 2*f(w) - 3*k(w). Calculate x(y(q)).
26*q**2
Let s(t) = 4*t**2 + 8*t. Let l = -55 + 803. Let h(k) = 748 + k - l. Give s(h(q)).
4*q**2 + 8*q
Let k(g) = -3*g**2 - g - 7. Let q(n) = n**2 + n + 7. Let f(m) = -k(m) - q(m). Let c(h) = -h + 108. What is f(c(l))?
2*l**2 - 432*l + 23328
Let w(q) = -6*q**2. Let o(r) = -3*r**2 + 2291*r - 25. Give o(w(n)).
-108*n**4 - 13746*n**2 - 25
Let a(v) = 367*v**2 + 33*v - 8. Let n(s) = 3*s**2. Calculate a(n(u)).
3303*u**4 + 99*u**2 - 8
Let k(q) = -396*q + 768 - 254 - 258 - 256. Let n(z) = z. What is n(k(v))?
-396*v
Let k(n) = -12*n**2. Let l(p) = 601*p**2 + 573*p**2 + 226*p**2. Determine l(k(o)).
201600*o**4
Let a(v) = 4*v + 50. Let o be a(-11). Let g(q) = -3*q - 12*q + 7*q + o*q. Let z(f) = 29*f**2. Calculate z(g(t)).
116*t**2
Let a(m) = -13*m**2 - 30*m**2 + 95*m**2 - 31*m**2 - 23*m**2. Let z(b) = 0*b - 20*b + 0*b - 9*b + 1. Calculate z(a(c)).
58*c**2 + 1
Let d(a) = a**2. Let b = 45 - 42. Let l(t) = 1176*t. Let u(s) = 62*s. Suppose 0 = -478*f + 481*f + 168. Let q(v) = b*l(v) + f*u(v). Calculate q(d(m)).
56*m**2
Let x = -11888 + 11888. Let v(t) be the third derivative of 0 + 5*t**2 + 1/20*t**5 + x*t**3 + 0*t + 0*t**4. Let a(z) = -20*z**2. Give v(a(m)).
1200*m**4
Let c(s) = -29 - 3 - 10 + 1238*s**2 + 42. Let q(f) = f**2. Calculate c(q(z)).
1238*z**4
Let q(j) = 2*j**2 + j. Let z(k) = -57*k + 15. What is q(z(d))?
6498*d**2 - 3477*d + 465
Let p(k) = 23*k. Let n(l) = -2*l**2 + 40017*l. Calculate p(n(w)).
-46*w**2 + 920391*w
Let n(a) = 47*a**2 - 3*a**2 - 47*a**2 + 4*a**2. Let y(j) = -16*j - 68. Calculate y(n(d)).
-16*d**2 - 68
Let s(h) = -19*h**2. Let l = -78 + 80. Suppose 3*u - 142 = -l*b, 5*u + b - 169 - 70 = 0. Let y(z) = 48*z + z**2 - u*z. Determine y(s(j)).
361*j**4
Let z(q) = -7013*q. Let f(s) = -818*s**2. Give z(f(i)).
5736634*i**2
Let q(j) = -3*j - 8. Let a(r) = -5*r**2 - 4*r - 2. Let h(l) = -85*l**2 - 70*l - 35. Let w(d) = -105*a(d) + 6*h(d). Calculate w(q(m)).
135*m**2 + 720*m + 960
Let z(u) be the first derivative of u**2 + 21*u + 48824. Let t(g) = 3*g + 2*g - 6*g. Give z(t(b)).
-2*b + 21
Let h(c) = 21*c. Let b be (16/(-6))/(44/66)*-1. Let q(s) = -s + 0*s - 4*s + b*s. Determine h(q(o)).
-21*o
Let n(y) = -427*y. Let s(p) = 5*p + 71. What is s(n(i))?
-2135*i + 71
Let s(l) = 145*l**2. Let u = 472 + -468. Let n(q) = q**2 + 2*q - 2. Let z(d) = -3*d**2 - 8*d + 8. Let v(m) = u*n(m) + z(m). What is s(v(a))?
145*a**4
Let k(i) = -72207*i**2. Let z(a) = 1415*a. What is z(k(m))?
-102172905*m**2
Let y(w) = 4*w**2. Let p(o) be the third derivative of -o**7/840 - 73*o**4/24 + 68*o**2. Let j(n) be the second derivative of p(n). Give j(y(x)).
-48*x**4
Let s(o) be the third derivative of 13*o**5/15 - 2*o**2. Let g(j) = 6*j - 4*j**2 + 103*j + 3*j**2 - 109*j. Determine g(s(c)).
-2704*c**4
Let n(h) be the first derivative of 14*h**3/3 - 1. Suppose 0 = -3*c + 4*c - 3*c. Let f(u) = 0 - 13*u + c + 12*u. Calculate n(f(d)).
14*d**2
Let k(t) = 111*t. Let o(b) = 92*b - 1. Let j(g) = 284*g - 3. Let z(q) = -4*j(q) + 13*o(q). Give k(z(x)).
6660*x - 111
Let t(o) = 3*o**2. Let w(s) = s**2 - 23*s + 92. Let j be w(18). Let n(u) = -3*u + 7623*u**j - u - 7628*u**2. Give t(n(m)).
75*m**4 + 120*m**3 + 48*m**2
Let c(i) = -6*i**2. Let f(l) = -l - 2. Let b(s) = -14*s - 4. Let y(o) = -13*o - 6. Let k(z) = -3*b(z) + 4*y(z). Let w(p) = -6*f(p) + k(p). What is w(c(v))?
24*v**2
Let c(l) = 106*l. Let g(r) = -206673*r. What is c(g(x))?
-21907338*x
Let r(s) = -240*s**2 - 218*s**2 + 397*s**2. Let t(y) = -26*y. Calculate r(t(v)).
-41236*v**2
Let j(a) = -379700*a**2 + 1. Let f(o) = -7*o. What is j(f(s))?
-18605300*s**2 + 1
Let y(u) = -2*u**2. Let i(c) = 2*c + 976816. Calculate i(y(t)).
-4*t**2 + 976816
Let k(h) = -111*h + 1. Let b(c) = -5368*c + 311. Give b(k(g)).
595848*g - 5057
Let u(c) = -10*c - 2. Let s = 417 - 356. Let h(x) = -72 + 133 + 3*x - s. What is u(h(a))?
-30*a - 2
Let d(z) be the third derivative of 14*z**2 + 0*z**4 + 0*z**3 + 0*z - 17/60*z**5 + 0. Let y(b) = -24*b**2 + 33*b**2 - 11*b**2. What is d(y(p))?
-68*p**4
Let h(x) = -9*x**2 + 21*x - 7. Suppose 378*v - 372*v = -42. Let s(d) = 6*d**2 - 15*d + 5. Let z(y) = v*s(y) - 5*h(y). Let m(i) = i**2 + 13. What is z(m(f))?
3*f**4 + 78*f**2 + 507
Let t(a) = -29197762*a**2. Let u(v) = -3*v. Calculate u(t(r)).
87593286*r**2
Let s(m) = m - 1. Let z(t) = 45*t - 36. Let k(w) = -180*s(w) + 5*z(w). Let y(n) be the first derivative of 78*n**2 - 49 - 77*n**2 - 26. Calculate y(k(d)).
90*d
Let w(c) = -7*c + 3450. Let f(o) = -71*o. What is f(w(l))?
497*l - 244950
Let n(d) = 3907*d + 3910*d + 3900*d - 11730*d. Let j(r) = -3*r**2 - 116*r. Give j(n(g)).
-507*g**2 + 1508*g
Let j(a) = -5*a - 50. Let s(f) = 2*f + 27. Let i(o) = 3*j(o) + 7*s(o). Let v(y) = -5*y. Calculate v(i(t)).
5*t - 195
Let b(m) = 37*m + 35*m + 36 + 19*m + 9*m - 20*m. Let z(s) = s**2. Calculate z(b(f)).
6400*f**2 + 5760*f + 1296
Let j(b) = b. Suppose -3*g - 8 = g, -w = -g - 117. Let t = 183 - w. Let s(n) = t*n - 39*n - 33*n. What is j(s(x))?
-4*x
Let k(w) = -w. Let h(m) = 66527098*m. Determine h(k(b)).
-66527098*b
Let o(x) be the first derivative of 5*x - 69 + 0*x**2 + 19/3*x**3. Let m(l) = 2*l. What is o(m(r))?
76*r**2 + 5
Let g(j) = j**2. Let o(q) = 4654*q + 286. Let r(u) be the third derivative of 49*u**4/24 + u**3/2 - 21*u**2 + 3*u. Let x(w) = 6*o(w) - 572*r(w). Give x(g(t)).
-104*t**2
Let h(g) = -3*g. Let s(v) = 22*v + 6. Let f(k) = -882*k - 246. Let q(b) = -b - 2. Let n(d) = f(d) - 2*q(d). Let y(r) = -6*n(r) - 242*s(r). Calculate h(y(i)).
132*i
Let l(v) = -v. Let s(z) be the first derivative of 0*z + 15/2*z**2 - 76. Give l(s(q)).
-15*q
Let d(j) = -74*j - 89. Let o(x) = -36*x - 36. Let y(r) = 2*d(r) - 5*o(r). Let n(h) = -14*h**2. What is n(y(v))?
-14336*v**2 - 1792*v - 56
Let j(s) = -108*s**2. Let d(x) be the first derivative of -38*x**3/3 - 2887. Determine d(j(v)).
-443232*v**4
Let h(k) = 262850*k + 56. Let l(j) = 4*j. What is l(h(q))?
1051400*q + 224
Let y(q) = -2*q - 13. Let n(z) be the second derivative of -59*z**3/3 + 1580*z. Give y(n(b)).
236*b - 13
Let i(y) = 58*y**2 - 13*y + 338. Let l(v) = 28*v**2 - 6*v + 156. Let r(p) = 6*i(p) - 13*l(p). Let g(c) = -114*c**2. Give g(r(b)).
-29184*b**4
Let o(n) = -11*n + 7. Let p(h) = 88*h - 55. Let c(b) = -55*o(b) - 7*p(b). Let y(w) be the third derivative of w**4/8 - w**2 - 14*w. Give c(y(k)).
-33*k
Let u(w) = 754*w + 803*w - 1568*w. Let f(i) = -137*i**2 + 2*i. Give u(f(k)).
1507*k**2 - 22*k
Let n(d) = 10184*d**2. Let h(l) = -169*l**2 - l. Determine h(n(y)).
-17527641664*y**4 - 10184*y**2
Let m(c) = -4*c**2. Let d(o) = -o - 647. Let w(u) = -242. Let x(y) = d(y) - 2*w(y). Calculate x(m(g)).
4*g**2 - 163
Let s(m) = -1060848580*m**2. Let d(a) = 2*a**2. Calculate d(s
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the hundred millions digit of 6430539992?
4
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0
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1
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9
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0
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7
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7
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4
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1
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7
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2
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0
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2
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4
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6
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0
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5
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9
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0
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2
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2
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9
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9
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1
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2
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3
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8
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2
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0
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2
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0
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3
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4
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3
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1
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4
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9
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1
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5
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2
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5
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6
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4
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7
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0
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8
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8
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1
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5
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2
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4
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8
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2
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8
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4
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9
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4
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7
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7
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9
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1
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1
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2
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2
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8
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5
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3
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8
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6
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7
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7
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5
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0
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4
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8
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6
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2
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1
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9
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7
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3
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5
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9
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8
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6
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4
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7
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6
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7
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7
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1
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8
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2
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6
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6
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6
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0
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4
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9
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7
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5
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What is the tens digit of 2711235636?
3
What is the thousands digit of 524699336?
9
What is the hundred millions digit of 178163218?
1
What is the ten thousands digit of 2696892960?
9
What is the units digit of 41862695?
5
What is the ten thousands digit of 14293542?
9
What is the thousands digit of 50108929?
8
What is the hundred thousands digit of 1216760579?
7
What is the thousands digit of 95966040?
6
What is the ten thousands digit of 1286673984?
7
What is the ten millions digit of 2373569072?
7
What is the millions digit of 102852479?
2
What is the units digit of 1295073316?
6
What is the tens digit of 20904189?
8
What is the units digit of 13008749?
9
What is the billions digit of 6355805634?
6
What is the ten thousands digit of 5495945530?
4
What is the ten millions digit of 10658978?
1
What is the tens digit of 883179171?
7
What is the hundred thousands digit of 2515307822?
3
What is the hundred millions digit of 904648332?
9
What is the hundreds digit of 197709661?
6
What is the hundred millions digit of 206293496?
2
What is the millions digit of 200031438?
0
What is the hundred thousands digit of 92085513?
0
What is the ten thousands digit of 1822044005?
4
What is the hundreds digit of 6312487?
4
What is the tens digit of 162235595?
9
What is the millions digit of 747856261?
7
What is the units digit of 5180051313?
3
What is the hundred thousands digit of 995312919?
3
What is the hundred millions digit of 2586582493?
5
What is the hundred thousands digit of 94432120?
4
What is the units digit of 4023780809?
9
What is the thousands digit of 5188480110?
0
What is the tens digit of 198755014?
1
What is the hundreds digit of 22282299?
2
What is the tens digit of 6002607797?
9
What is the hundreds digit of 22905891?
8
What is the hundred millions digit of 249909498?
2
What is the tens digit of 237602850?
5
What is the hundred thousands digit of 1567116466?
1
What is the hundreds digit of 5490770620?
6
What is the units digit of 10773571?
1
What is the billions digit of 4960515690?
4
What is the hundred thousands digit of 2357057450?
0
What is the tens digit of 112855390?
9
What is the hundred thousands digit of 24622751?
6
What is the tens digit of 778550346?
4
What is the hundreds digit of 315425596?
5
What is the units digit of 157022181?
1
What is the hundred thousands digit of 229281200?
2
What is the millions digit of 11544837?
1
What is the units digit of 1953683979?
9
What is the units digit of 76094146?
6
What is the tens digit of 58097716?
1
What is the ten millions digit of 167765044?
6
What is the hundred thousands digit of 2090298859?
2
What is the thousands digit of 1705301277?
1
What is the thousands digit of 9049590?
9
What is the tens digit of 1617443044?
4
What is the thousands digit of 6197688?
7
What is the hundreds digit of 11238809?
8
What is the millions digit of 4069474993?
9
What is the thousands digit of 55998055?
8
What is the ten
|
{
"pile_set_name": "DM Mathematics"
}
|
picking 1 h, 1 a, and 1 c?
1/14
Three letters picked without replacement from {z: 2, r: 1, b: 1, m: 2, c: 1}. Give prob of picking 1 b, 1 c, and 1 m.
2/35
What is prob of picking 3 v and 1 h when four letters picked without replacement from {r: 6, h: 7, v: 6}?
35/969
What is prob of picking 3 x and 1 u when four letters picked without replacement from {x: 10, u: 9}?
90/323
What is prob of picking 1 g and 1 u when two letters picked without replacement from {u: 2, r: 1, p: 3, s: 12, g: 2}?
2/95
What is prob of picking 1 m, 1 n, and 1 p when three letters picked without replacement from {n: 2, m: 1, w: 4, s: 1, p: 1}?
1/42
What is prob of picking 1 x and 1 g when two letters picked without replacement from semxssgsggmmg?
2/39
Two letters picked without replacement from zzdw. What is prob of picking 1 z and 1 w?
1/3
Three letters picked without replacement from jjzjzzjzzz. Give prob of picking 3 j.
1/30
What is prob of picking 1 t and 1 l when two letters picked without replacement from {l: 1, t: 11}?
1/6
Two letters picked without replacement from ffmgggfxmmmfmmf. Give prob of picking 2 g.
1/35
Calculate prob of picking 1 s, 1 d, and 2 m when four letters picked without replacement from {m: 4, y: 1, s: 3, d: 2}.
6/35
Calculate prob of picking 1 j and 2 q when three letters picked without replacement from qjqjqgwwjqw.
6/55
What is prob of picking 1 j and 2 g when three letters picked without replacement from {g: 3, z: 4, j: 1}?
3/56
Calculate prob of picking 1 y and 3 l when four letters picked without replacement from {y: 4, z: 1, e: 8, l: 7}.
28/969
What is prob of picking 1 c and 3 p when four letters picked without replacement from uppucuucuupuupccpup?
20/969
Two letters picked without replacement from {s: 2, w: 4, j: 4}. What is prob of picking 1 j and 1 w?
16/45
What is prob of picking 3 n when three letters picked without replacement from nbpgeyng?
0
What is prob of picking 1 p and 1 e when two letters picked without replacement from {e: 3, w: 1, p: 1, x: 1, j: 1}?
1/7
Calculate prob of picking 2 e and 1 d when three letters picked without replacement from emdemd.
1/10
Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {j: 1, i: 1, g: 2, s: 1}.
1/10
Four letters picked without replacement from {r: 7}. What is prob of picking 4 r?
1
What is prob of picking 1 u, 1 k, and 1 i when three letters picked without replacement from iuikkkiiiuiikiuiu?
18/85
Four letters picked without replacement from ktuttuu. What is prob of picking 2 t, 1 u, and 1 k?
9/35
What is prob of picking 3 d when three letters picked without replacement from {d: 5, m: 8, v: 7}?
1/114
Four letters picked without replacement from ayayyaaayyyaaaayaaa. Give prob of picking 4 y.
35/3876
What is prob of picking 1 h, 1 w, and 1 z when three letters picked without replacement from ipwhzwpwwhp?
8/165
Three letters picked without replacement from {n: 5, d: 9}. What is prob of picking 3 n?
5/182
Two letters picked without replacement from {m: 6, x: 4}. Give prob of picking 2 x.
2/15
Two letters picked without replacement from iiiiiieiiipipeipie. Give prob of picking 2 p.
1/51
Four letters picked without replacement from iiiaihaai. Give prob of picking 1 a and 3 i.
5/21
What is prob of picking 2 j when two letters picked without replacement from {j: 2, s: 2}?
1/6
Calculate prob of picking 1 i and 2 s when three letters picked without replacement from mgmseeseebeieemggm.
1/816
Calculate prob of picking 2 f, 1 e, and 1 z when four letters picked without replacement from zfzeffzf.
9/35
Two letters picked without replacement from rrrrxrlxxxnrcrxrx. Give prob of picking 1 n and 1 c.
1/136
Two letters picked without replacement from zmwxzzxxxzxzmzxxzzxz. Give prob of picking 2 x.
14/95
Calculate prob of picking 2 w when two letters picked without replacement from {w: 5, p: 1, h: 5, b: 7}.
10/153
Four letters picked without replacement from {y: 6, r: 2, j: 7}. What is prob of picking 2 r and 2 j?
1/65
Calculate prob of picking 2 o and 1 i when three letters picked without replacement from {x: 4, o: 7, i: 5}.
3/16
What is prob of picking 1 e and 2 i when three letters picked without replacement from {j: 1, i: 8, f: 4, y: 1, e: 2, r: 4}?
14/285
Three letters picked without replacement from {v: 15, t: 3}. Give prob of picking 1 v and 2 t.
15/272
Calculate prob of picking 1 p, 1 l, 1 t, and 1 h when four letters picked without replacement from {l: 7, p: 4, t: 8, h: 1}.
224/4845
Three letters picked without replacement from {m: 4, r: 2, n: 1, a: 2}. Give prob of picking 1 n and 2 m.
1/14
What is prob of picking 1 q and 1 v when two letters picked without replacement from {q: 5, v: 11}?
11/24
Four letters picked without replacement from kdkxqxkkqddkdxx. What is prob of picking 4 x?
1/1365
Three letters picked without replacement from {q: 3, a: 4}. Give prob of picking 2 q and 1 a.
12/35
Calculate prob of picking 1 h and 1 z when two letters picked without replacement from huzzuhuh.
3/14
Two letters picked without replacement from rprrppprpprppp. What is prob of picking 2 p?
36/91
Three letters picked without replacement from {x: 1, n: 2}. Give prob of picking 1 x and 2 n.
1
Two letters picked without replacement from {l: 2, p: 3, b: 2, w: 4}. Give prob of picking 1 l and 1 b.
4/55
What is prob of picking 1 i and 1 l when two letters picked without replacement from xvrbixxlrbr?
1/55
Calculate prob of picking 1 x and 1 g when two letters picked without replacement from {g: 7, x: 3}.
7/15
Three letters picked without replacement from dvgvgggvdvgv. What is prob of picking 2 v and 1 g?
5/22
Calculate prob of picking 1 s and 3 t when four letters picked without replacement from {d: 1, s: 1, t: 6, k: 1, i: 2, c: 4}.
4/273
Two letters picked without replacement from {h: 1, v: 7, g: 4, q: 4, e: 1, i: 1}. What is prob of picking 1 g and 1 q?
16/153
What is prob of picking 2 g, 1 y, and 1 k when four letters picked without replacement from {p: 3, g: 6, y: 1, k: 2}?
2/33
Three letters picked without replacement from vuuyyuumuvpuppuvvv. Give prob of picking 1 p and 2 u.
21/272
What is prob of picking 2 h when two letters picked without replacement from hkhhhaaahoahaaa?
1/7
Four letters picked without replacement from {c: 2, e: 1, d: 14}. What is prob of picking 2 c, 1 d, and 1 e?
1/170
What is prob of picking 4 l when four letters picked without replacement from iiiililllili?
1/99
Calculate prob of picking 2 v and 1 o when three letters picked without replacement from {v: 14, o: 5}.
455/969
Calculate prob of picking 1 o and 1 z when two letters picked without replacement from ogzg.
1/6
Two letters picked without replacement from llllllplllillliillll. Give prob of picking 1 l and 1 i.
24/95
Calculate prob of picking 1 e and 1 c when two letters picked without replacement from cce.
2/3
Two letters picked without replacement from ftfttftfcgt. Give prob of picking 1 c and 1 g.
1/55
Three letters picked without replacement from aeeaeeeeeaaeegag. What is prob of picking 3 e?
3/20
What is prob of picking 2 g and 1 q when three letters picked without replacement from {q: 2, g: 2}?
1/2
Three letters picked without replacement from {t: 1, s: 3, f: 3}. What is prob of picking 1 f and 2 s?
9/35
Three letters picked without replacement from {a: 7, r: 3, e: 2}. Give prob of picking 3 a.
7/44
Calculate prob of picking 1 k, 1 f, 1 l, and 1 t when four letters picked without replacement from {f: 4, l: 4, z: 3, v: 1, t: 2, k: 1}.
32/1365
Four letters picked without replacement from {k: 2, v: 8, z: 8}. Give prob of picking 1 v and 3 z.
112/765
What is prob of picking 2 s when two letters picked without replacement from {q: 3, s: 4}?
2/7
What is prob of picking 4 m when four letters picked without replacement from {m: 5}?
1
Four letters picked without replacement from {n: 3, v: 3}. Give prob of picking 1 v and 3 n.
1/5
Two letters picked without replacement from {v: 3, u: 4, a: 1, f: 5, j: 3, m: 1}. What is prob of picking 1 v and 1 u?
3/34
What is prob of picking 1 m, 1 y, and 1 j when three letters picked without replacement from wyymyjjwmayyymjj?
9/70
Two letters picked without replacement from vbvbbbcbc. What is prob of picking 1 c and 1 v?
1/9
Two letters picked without replacement fr
|
{
"pile_set_name": "DM Mathematics"
}
|
ded by v(5).
4
Let k(h) = h**2 + h + 4. Let l be k(0). Suppose 5*v + 3*u - 96 = v, 16 = -4*u. What is the remainder when v is divided by (2/l)/((-3)/(-42))?
6
Let p = -1057 - -1464. What is the remainder when p is divided by 23?
16
Let o = 10 + 4. What is the remainder when 36 is divided by o?
8
Let y = -7 + 3. Let b(u) = -u**2 - 5*u + 1. Let v be b(y). Suppose -2*q = -v*q + 12. Calculate the remainder when q is divided by 3.
1
Let c(a) = -a**3 + 9*a**2 + a + 1. Let b(d) = 5*d**2 - 3*d**2 + 4*d**2 - 2*d**2 - 2 - 2*d. Calculate the remainder when b(3) is divided by c(9).
8
What is the remainder when 69 is divided by -21*(-6 - 210/(-49))?
33
Let v(h) = 4*h**3 + 2*h**2 + 3*h - 4. Let j be v(3). Calculate the remainder when 3/(-6) - 375/(-6) is divided by j/4 + (-18)/24.
30
Suppose 3*v = 5*y + 174, -4*v + 88 = -3*y - 155. What is the remainder when v is divided by 13?
11
Let q = -183 - -207. Calculate the remainder when 66 is divided by q.
18
Suppose 7*y = -2*y + 27. Suppose 4*g - 2*g + 226 = y*c, 4 = -2*g. What is the remainder when c is divided by 15?
14
Suppose -4*n = -118*n + 798. What is the remainder when n is divided by 55/15 + 2/(-3)?
1
Let h be 1/(-1)*(-2 + 3 + -1). Suppose h = 16*u + 2 - 146. Calculate the remainder when 14 is divided by u.
5
Let o = -2 + 7. Suppose -4*d = 3*p - 252, 12 = o*p - 2*p. Suppose -4*l = -3*u + d, 4*u + 4*l - 70 = -18. What is the remainder when u is divided by 6?
4
Suppose 19*r - 3*r = 432. Let o(s) = -4*s**3 - 2*s**2 - 2*s - 4. Let v be o(-3). Let a = v + -40. What is the remainder when a is divided by r?
25
Let d = 1083 - 1041. What is the remainder when d is divided by 34?
8
Let h(v) = -4*v + 24. Let o be h(-15). Suppose g + 2*g = -5*i + 82, -5*i = g - o. Calculate the remainder when 100 is divided by i.
15
Let v(h) = -2*h + 1. Let o be v(1). What is the remainder when (3/(0 + (-4)/(-10)))/(11397/15196) is divided by 1 + 0 + (o - -6)?
4
Let h(m) = 5*m + 13. What is the remainder when 115 is divided by h(0)?
11
Let z = 435 + -426. What is the remainder when (15/(-10))/((-3)/160) is divided by z?
8
Suppose 0 = 2*n + 2*l - 96, 5*n - l = n + 182. Let i = n - 26. Calculate the remainder when i is divided by 11.
9
Let i = 15 + 18. Suppose 6*v = 3*v + i. What is the remainder when 52 is divided by v?
8
Let i = 678 + -654. What is the remainder when 29 is divided by i?
5
Let u = 27 + -26. Let h(v) = 20*v**3 - 1. Calculate the remainder when 56 is divided by h(u).
18
Let g = 65 + -108. Let q = -33 - g. Suppose -2*d - q = -2*h - 0*h, 3*d - 33 = -5*h. What is the remainder when h is divided by 3?
0
Let b = 67 - 53. What is the remainder when 51 is divided by b?
9
Calculate the remainder when 4/(-14) - (-5556)/126*3 is divided by 2/(-9) + 2422/126.
18
Suppose 15*r = 66 + 39. What is the remainder when 54 is divided by r?
5
Suppose 0 = -4*d - 4*k + 128, -3*d + 6*d + 2*k = 101. Let b = 71 - d. Let r(i) = 6*i**2 + i. What is the remainder when b is divided by r(-1)?
4
Calculate the remainder when ((-144)/(-27))/(3/18) is divided by 23.
9
Let h(q) = -q**2 - 5*q + 8. Let c be h(-6). Calculate the remainder when 30 is divided by c/7 + 117/7.
13
Let g be (-3)/((-9)/12 + 66/104). Suppose 5*d + g = 71. Calculate the remainder when 60 is divided by d.
6
Let i = 17 + 10. Let q = 5 + 5. Calculate the remainder when i is divided by q.
7
Suppose s + 2 = -4*d, s - 12 = 2*s + 2*d. Let w(m) = -10*m**3 - 6*m**2 - 6. Let z be w(-2). Let o = z + s. Calculate the remainder when 110 is divided by o.
26
Suppose 0 = -4*l - 5*q + 16 + 159, -4*l - 4*q + 172 = 0. Calculate the remainder when 73 is divided by l.
33
Let d(f) = f**2 - 3*f - 21. Let o = 0 + 9. What is the remainder when 161 is divided by d(o)?
29
Suppose -2*p - 34 = -36, 4*o = 4*p + 488. Calculate the remainder when o is divided by ((-4)/(-6))/((-4)/(-186)).
30
Let n(b) = -b**2 - 7*b + 13. Let u(v) = v**3 - 2*v**2 - 4*v - 3. Let g be u(4). Let z = g - 20. What is the remainder when n(z) is divided by 8?
5
Let c = 62 - 50. Suppose 0*k = -5*k + 70. Calculate the remainder when k is divided by c.
2
Suppose -82*o = -25522 - 27204. What is the remainder when o is divided by 43?
41
Let c(y) = -y + 3. Let t be c(5). Suppose -2*j + 4*d + 36 = 0, j - 5*j + 22 = 2*d. Calculate the remainder when (42/(-4))/(t/4) is divided by j.
5
Calculate the remainder when 117 is divided by (-2570)/(-170) - (-4)/(-34).
12
Let f = -2 + 5. Suppose 2*c - k = -c + 77, 2*k = -f*c + 62. Calculate the remainder when 91 is divided by c.
19
Suppose -3*l = z - 71, 5*l - 5*z - 80 = 5. Let w = 127 - -2. Suppose 5*h - w = 86. What is the remainder when h is divided by l?
21
Let u(t) = -42*t - 293. Calculate the remainder when u(-9) is divided by 29.
27
Let u = 343 + -161. Let n = u + -37. Calculate the remainder when n is divided by 37.
34
Suppose -7*g = -2*g + 3*j - 39, -5*g + 2*j + 24 = 0. Calculate the remainder when 32 is divided by g.
2
Suppose -p + 108 + 43 = 5*y, 0 = 4*p + 16. What is the remainder when 90 is divided by y?
28
Let d(g) = -g**3 + 9*g**2 - 7*g + 2. Let u be d(6). Suppose -40 = -12*s + 8*s. What is the remainder when 1/(-2*(-2)/u) is divided by s?
7
Let d(f) = -f**3 - 9*f**2 - 17*f - 9. Let s be d(-7). Let i = s + 2. Calculate the remainder when 27 is divided by i.
13
Suppose 4*j - 4 = 0, 19 + 39 = y + 4*j. Calculate the remainder when y is divided by 31.
23
Let h(n) = 28*n**3 - 2*n**2 + 1. Let g be h(1). Let y = 9 - -25. Calculate the remainder when y is divided by (50/(-150))/((-1)/g - 0).
7
Let l = -3 - -5. Suppose 0*u = -a - l*u + 5, -a - 2 = -5*u. Suppose -i + 44 = a*i. What is the remainder when 20 is divided by i?
9
Suppose 7*v - 2*v = 0. Calculate the remainder when 107 is divided by ((-3)/6 - 0)*(-74 - v).
33
Let q(c) be the second derivative of c**4/12 + 5*c**3/6 + 3*c**2/2 - 6*c. Calculate the remainder when 78 is divided by q(-8).
24
Let w(x) = 1. Let q(v) = -38*v - 5. Let r(h) = -q(h) - 5*w(h). What is the remainder when r(1) is divided by 14?
10
Let r = 30 + -1. Let s(v) = -10*v - 3. Let b be s(-3). Suppose -b - 33 = -4*f. Calculate the remainder when r is divided by f.
14
Suppose 0 = 2*k - 4*s - 88, -263 = -5*k + s - 52. Calculate the remainder when 544 is divided by k.
40
Let j(r) = -r**3 + r**2 + 41. Let w be (2/10*0)/(-2). Suppose w = 10*q - 93 - 47. Calculate the remainder when j(0) is divided by q.
13
Let p(q) = -q**2 + 26*q - 22. Let o be p(25). Suppose f + 8*k - 12*k = 39, 0 = o*k + 9. Suppose -4*x + 5 = -51. Calculate the remainder when f is divided by x.
13
Calculate the remainder when 860 is divided by (1 + 2/14)/((-186)/(-2604)).
12
Let v = 751 + -415. What is the remainder when v is divided by 57?
51
Let a(b) = -2*b**2 + 22*b - 10. Let i be a(9). Let d = i + -5. Let r = 44 - d. Calculate the remainder when 91 is divided by r.
22
Let n(b) = -b - 1. Suppose -3*y + 52 = -6*y - 5*j, 3*j = 5*y + 30. Suppose -4*c + 8 = -4. Calculate the remainder when n(y) is divided by c.
2
Let w = 8 - 6. Let a be 1*(2 + 1 + w). Suppose l = -a*j + 14, j + j - 4*l = 10. What is the remainder when 9 is divided by j?
0
Suppose -1268 = -14*z + 1546. What is the remainder when z is divided by 51?
48
Let p(c) = -c**2 + 21*c - 24. Let h be p(20). Suppose -5*y + 5*z = -20, -z + 10 = y + 4*z. Calculate the remainder when h/(-4)*36/4 is divided by y.
4
Let u(s) = -3*s - 12. Let d be u(-5). Suppose 3*a - 6 = 0, -4*a = -d*f - a + 75. What is the remainder when 106 is divided by f?
25
Suppose 329 - 2885 = -12*a. Calculate the remainder when a is divided by 56.
45
Let j(k) = 2*k - 1. Let a = 77 - 56. Suppose 2*r + 3*u + a = 5*r, -5*u = r - 7. Calculate the remainder when j(7) is divided by r.
6
Suppose 130 = z + 3*c, c + 450 = 5*z - 248. Suppose -q + z = -53. Calculate the remainder when q is divided by 39.
36
Let q be (8/(-10))/((-5)/225). Let w = q - 20. What is the remainder when 60 is divided by w?
12
Suppose z + 4*z + 20 = 0. Calculate the remainder when 81 is divided by 21 + (z + 4)/5.
18
Let j(l) = -9*l + 4. Let w be j(-3). Let r = w + -79. What is the remainder when -3*(1 + r/9) is divided by 5?
3
Let f = 7413 - 7396. Let r(s) = 4*s**2 - 6*s - 4. Calculate the remainder when r(5) is divided by f.
15
Suppose 145 + 77 = 2*q - 2*h, 4*q + h - 439 = 0. Calculate the remainder when (-1)/(-1) - (0 - 8)
|
{
"pile_set_name": "DM Mathematics"
}
|
-14*n - 11. Is c(k) a multiple of 29?
False
Let s(k) = -10*k + 13. Let v be s(-9). Suppose 5*l - 122 = v. Is 14 a factor of l?
False
Let q(u) = -129*u + 144. Is q(-4) a multiple of 22?
True
Suppose -4*i = 3*j - 1384, 5*j - 462 = 4*j - i. Is j a multiple of 16?
True
Let r = 15 + -10. Suppose -r*y + 3*v - 23 = -171, 4*y - 2*v = 120. Does 29 divide y?
False
Suppose b + 0*b - 1 = 0. Is 26/8*(1 - (-3)/b) even?
False
Suppose 8 = -d - 2*q, 3*q + 0 = -3*d - 12. Suppose d = 2*c - 0*c - 60. Is 10 a factor of c?
True
Let n(j) = 11*j + 2. Let y be n(6). Let l = -16 + y. Does 16 divide l?
False
Let u(n) = n**2 + 16*n + 66. Let g be u(-8). Let k = -27 + -12. Does 4 divide k/(-6) - g/(-4)?
False
Let d(f) = -f + 9. Let q be d(5). Suppose -5*i - 3*l = -185, -250 = -5*i + q*l - 30. Does 9 divide i?
False
Let t(m) = -60*m**2 + 12*m - 25. Let g(p) = -15*p**2 + 3*p - 6. Let x(q) = -9*g(q) + 2*t(q). Does 11 divide x(1)?
False
Let n = -183 + 15. Is ((-22)/33)/(2/n) a multiple of 10?
False
Let h = 292 + -88. Does 6 divide h?
True
Let y = 6 + -2. Suppose 0 = -4*g - 5*i - 42, g - 3*i + 6 = y. Is 301/4 - 6/g a multiple of 17?
False
Let b = 4067 + -2282. Does 7 divide b?
True
Let m(w) = -14*w + 1. Let c = 15 + -22. Let o = 6 + c. Is 5 a factor of m(o)?
True
Let q(o) = o**3 - 4*o**2 - 4*o. Let r be q(5). Let y be 1/(-3 - (-16)/r). Suppose g = -4*h + 141, y*h + 6*g = g + 195. Is 9 a factor of h?
False
Let w = -9 + 11. Let c = 40 - w. Let m = c - -4. Is 14 a factor of m?
True
Suppose 52 = 7*g - 4. Suppose 2*x + g = 0, 1344 = 4*p + 5*x - 436. Is 15 a factor of p?
True
Let h(c) = c**2 - 9*c - 10. Let d be h(10). Suppose 0 = 5*y - d*y - 25. Suppose -5 = k - 4*l - 4, -y*k - 3*l = -18. Does 3 divide k?
True
Let d be 0 + 1/(-3) + (-362)/(-6). Does 4 divide 4*d/8*48/20?
True
Suppose 3*a - 17 = 2*b, -5*a - 4 = 3*b - 7. Suppose n + a = 0, -3*u + 114 = -u + 2*n. Does 17 divide u?
False
Let j = -4 + 14. Let q(l) = -3 + 1 + j*l + 6*l. Is 15 a factor of q(2)?
True
Suppose 0*c = -4*c + 740. Suppose -3*t + 5*g + c = 0, 6*t - 3*t + 2*g - 178 = 0. Is 5 a factor of t?
True
Let p = -30 - -66. Let b = 186 + -133. Suppose -b - p = -s. Does 13 divide s?
False
Suppose 3*i = 17*p - 12*p - 1613, 649 = 2*p - 5*i. Is p a multiple of 46?
True
Let r = 46 + -33. Suppose r = -3*c + 31. Is 5 a factor of c?
False
Let v(y) = -y**3 + 16*y**2 + 2*y - 14. Let x be v(16). Does 2 divide 3/(-3) - x/(-4)*2?
True
Let s be 4807/(-44) + 2/8. Let p = s + 233. Let t = p + -40. Does 35 divide t?
False
Let j = 48 - 27. Suppose -b + j = 5*f, f - b = 4*b + 25. Is 15 a factor of 1016/20 + 1/f?
False
Let f(o) = -2*o + 4. Let b be f(4). Let y(g) = 4*g**2 - g**2 - g - 2*g**2 + 2. Does 6 divide y(b)?
False
Suppose -g + 33 = 2*g. Let t(s) = -s**3 + 10*s**2 + 12*s - 9. Let x be t(g). Suppose 21 = x*f - 35. Does 5 divide f?
False
Suppose 22 + 6 = 2*c. Let i = c + -16. Let y(h) = 5*h**2 + 2*h + 3. Is y(i) a multiple of 6?
False
Suppose -7*k + 25 = -2*k. Suppose 0 = 3*f - k*z + 74, 5*f = 4*z - 0*z - 119. Is 3 a factor of (-2)/(-2*(-1)/f)?
False
Suppose -3*d = -0*r + 5*r - 4514, 0 = -4*r - 8. Is d a multiple of 88?
False
Let c be 40/25 + 4/10. Let q = -8 + 12. Suppose 0*l = 5*u - c*l - 139, -q*u = l - 106. Does 9 divide u?
True
Let i be -2 + (-2 + 1)*-1. Let j = -4 + i. Let c = 2 - j. Is c a multiple of 7?
True
Let w = -21 - -2. Let j = w - -102. Let d = -34 + j. Does 6 divide d?
False
Let k(a) = -a**2 - 70*a - 220. Is 7 a factor of k(-51)?
True
Let p(f) = 2*f - 9 + 2*f - f - 4*f. Let n be p(-15). Suppose -r - 4*w = -n - 20, 0 = 5*r + 5*w - 145. Is 5 a factor of r?
True
Suppose s + 3*u = 126, -25*u - 448 = -4*s - 23*u. Is s a multiple of 3?
True
Suppose -2 = 5*c - 7. Let d(p) = 142*p - 206*p + 120*p. Is 28 a factor of d(c)?
True
Suppose 0 = 3*b, 4*u - 2*b = 3*u - 26. Suppose 0 = 5*y + x + 4*x + 10, -y = -x + 6. Does 13 divide u*(-2)/(y/(-3))?
True
Suppose 3*i + 27 = 5*a, 5*i + 14 = -3*a + a. Suppose 2*f + a = -f, 5*f = 3*d - 119. Is 27 a factor of d?
False
Let l be (10/(-15))/((-6)/27). Let g(j) = 5*j**3 - 5*j**2 - 3*j + 7. Is 11 a factor of g(l)?
True
Suppose -745 - 515 = -5*z - g, -1008 = -4*z - 3*g. Is z a multiple of 21?
True
Suppose 0 = 4*y - y - 57. Suppose 0 = -5*c - y + 134. Does 23 divide c?
True
Let s = 100 + -9. Is s a multiple of 56?
False
Suppose -150*i - 108 = -159*i. Is 12 a factor of i?
True
Suppose 966 = -y + 5*q - 343, -q = 4*y + 5320. Let w be y/(-3) - 1 - -3. Does 15 divide 2/6 + w/15?
True
Let a = 62 + -29. Does 28 divide (a - (1 + -3)) + 1?
False
Let d = 585 + -307. Suppose 0 = 2*g - 5*q - 424, -5*g - 4*q + d = -716. Is 16 a factor of g?
False
Let x(h) = -h**2 - 64*h - 108. Is 9 a factor of x(-40)?
False
Let k = -238 - -310. Does 12 divide k?
True
Suppose 15 = -3*l + 45. Does 10 divide l?
True
Suppose -3*v + 12 = 2*k - 11, -v - 5*k = -25. Suppose 0*f + a + 74 = f, -a = -v*f + 362. Is f a multiple of 14?
False
Let s(o) = 3*o + 10. Let q be s(-4). Let u(v) = -6*v**3. Does 12 divide u(q)?
True
Let s be 234/4 + 4/(-8). Suppose s + 50 = 3*x. Let b = x - 24. Does 3 divide b?
True
Suppose 2 = 4*y - 542. Is 13 a factor of y?
False
Suppose 4*k + x - 17 = -2*x, 5*x + 30 = 5*k. Let z be 0/(1 - (-2 - (2 + -7))). Is 7 a factor of k - 8 - (z + -24)?
True
Does 8 divide ((-12906)/(-24) - -6) + (-15)/(-12)?
False
Let n(i) = 37*i - 213. Is 5 a factor of n(14)?
True
Suppose -j - 26 = 2*g + 3*j, 46 = -3*g + j. Let d be g/(-45) + 22/6. Is 10 a factor of (-2 - -10) + (6 - d)?
True
Let v(i) = i**3 + 3*i**2 - 4*i + 2. Let b be v(-4). Suppose -b*u + 210 - 743 = -3*m, 0 = -4*m + 5*u + 713. Does 17 divide m?
False
Suppose 4*m - 96 = -o + 2*m, 480 = 5*o - 5*m. Is 16 a factor of o?
True
Is 81 a factor of (11/((-77)/21) - 5) + 5095?
False
Let m(r) = -r**3 + 4*r**2 + 2. Let h be m(4). Let c be 6/((-4)/h) - 111. Let s = c + 174. Does 14 divide s?
False
Let u(d) be the third derivative of 17*d**4/24 + d**3/3 - 5*d**2. Let t(i) = 8*i + 1. Let z(r) = 14*t(r) - 6*u(r). Is 11 a factor of z(2)?
True
Suppose -3*l = l - 4. Does 23 divide l - -2 - (-88 - 1)?
True
Let a = -2119 - -2415. Is 2 a factor of a?
True
Let f = 2105 + -1310. Is 87 a factor of f?
False
Suppose 3*d - 302 - 12 = 5*o, -5*o + 118 = d. Is 15 a factor of d?
False
Suppose 0 = 3*u - 11*u + 40, -2*v + 5*u = -2791. Is v a multiple of 64?
True
Let l(m) = 12*m**2 + 13*m - 64. Is l(-8) a multiple of 12?
True
Let p be (-9875)/(-5) + (-1 - -3). Suppose -p = -8*f - 465. Is 15 a factor of f?
False
Suppose 15*k - 19*k = 5*f - 268, 0 = -5*f - 20. Is k a multiple of 18?
True
Suppose 0 = 2*h + 5*r - 1266, -2502 = -40*h + 36*h + 5*r. Is h a multiple of 23?
False
Let b be (72/(-3))/((-3)/10). Suppose -5*v = y - 0*y - b, -6 = -3*v. Is y a multiple of 8?
False
Let f(s) = -s**3 + 11*s**2 - 10*s - 8. Let d be f(10). Is (42/d)/(6/(-72)) a multiple of 10?
False
Let k = 110 + -18. Suppose 2*j = 28 - k. Is (-26)/(-4) + (-48)/j a multiple of 4?
True
Suppose 4*s - 1733 = -4*c - 445, c = 5*s + 298. Is 6 a factor of c?
True
Suppose 3*x - 3 = -f, 40 + 22 = 4*f + 2*x. Suppose 2*r + 0*r + 5*g = f, 2*r + 3*g = 10. Is 12 a factor of 1/(5/305) + r?
True
Suppose 0 = l + s, 2*l - 5 = -0*s + 3*s. Suppose -196 = -5*j + 4*v, l = -j + 3*v + 38. Is j a multiple of 8?
True
Let f(i) = 2*i**2 - 6*i + 5. Let p be f(4). Is p*2 - (12 - 10) a multiple of 12?
True
Let r be 2*(13 - -4) + -4. Suppose 3*a - 12 = -r. Let s(x) = 2*x**2 + 3*x - 14. Is 5 a factor of s(a)?
True
Let z(r) = 73*r**2 - 22*r - 69. Is z(-7) a multiple of 77?
False
Suppose 83160 = -33*c + 105*c. Does 11 divide c?
True
Let n(w) be the second derivative of w**4/12 - w**3/6 + 13*w**2 + 10*w + 2. Let x(i) = -i**3 - 6*i**2. Let a be x(-6). Does 6 divide n(a)?
False
Let k(g) = 2*g**2 + 26*g + 12. Let u(r) = -3*r**2 - 3*r**2 + 18 + 39*r + 6*r**2 + 3*r**2. Let y(s) = 7*k(s) - 5*u(s). Is 36 a factor of y(-6)?
True
Let d = 220 + 31. Let g = d - 106. Is 15 a factor of g?
False
Suppose 12 = 3*z - 3*r, 4*r = -z + 6*z - 18. Suppose -11 = -5*k - 21. Does 3 divide k*(-8 + z + 2)?
False
Let c be (-2)/7 - 308/(-49). Suppose -21 = -3*l - c. Suppose 80 = l*j - 4*a, -4*j + 3*a - 16 = -5*j. Is 8 a factor of j?
True
Suppose 96*a = 85*a + 1859. Is a a multiple of 13?
True
Suppose l + 1867 = 2*a, -473 - 2325 = -3*a + l. Does 103 divide a?
False
Let v = 6719 - 4028. Does 13 divide v?
Tr
|
{
"pile_set_name": "DM Mathematics"
}
|
/23)*(f*f**(2/9)*f)/f**(1/6) assuming f is positive.
f**(9043/2070)
Simplify (a**(-9)/a)/(a*(a*a**0*a)/a) assuming a is positive.
a**(-12)
Simplify k**8/k*k*k**(-5)/k assuming k is positive.
k**2
Simplify t**(-33)/t*t/(t/t**(1/74)*t)*t assuming t is positive.
t**(-2515/74)
Simplify (h**(-3)*h**1)/((h*h**(2/7))/(h**(2/15)*h)) assuming h is positive.
h**(-226/105)
Simplify (i**4*i*i**(-6)*i)/(((i/((((i*i/(i**(-4)/i)*i)/i)/i)/i*i))/i)/((i*i/(i*(i**(-2/5)*i*i*i*i)/i))/i)) assuming i is positive.
i**(17/5)
Simplify x/((x/(x/(x**(-5/3)*x))*x*x*x*x)/x)*(x**(-17)/x)/x assuming x is positive.
x**(-61/3)
Simplify (h/((h*h**18*h)/h))/(h*h**(2/25)*h) assuming h is positive.
h**(-502/25)
Simplify ((l*l*l**4)/l)/l**(-3/10)*(l/l**2)/(l/(l**(-2)*l)) assuming l is positive.
l**(23/10)
Simplify u/u**3*u/(u/(u*u*(u/u**(4/3)*u)/u)) assuming u is positive.
u**(-1/3)
Simplify (l*(l*l**(-4))/l*l)/l*l**(1/15) assuming l is positive.
l**(-44/15)
Simplify i**(5/11)*i**(-15) assuming i is positive.
i**(-160/11)
Simplify (h**(-1/4))**(-40)/(h/h**(-1/5)*h/(h/(h**(2/9)*h))) assuming h is positive.
h**(341/45)
Simplify t**(-4/9)/(t/(t/(t*t**22)*t*t*t)) assuming t is positive.
t**(-184/9)
Simplify ((y*y/y**(1/4)*y)/y*y)/y**(-9) assuming y is positive.
y**(47/4)
Simplify m**25*m*m**(-5) assuming m is positive.
m**21
Simplify i**(-2/3)/i**(2/3) assuming i is positive.
i**(-4/3)
Simplify ((f**(-1/7)*f*f)/f**(4/5))**29 assuming f is positive.
f**(1073/35)
Simplify ((w/w**4)/(w**(2/11)*w))**(-32) assuming w is positive.
w**(1472/11)
Simplify ((q**(2/7)/q)**7)**(1/62) assuming q is positive.
q**(-5/62)
Simplify (o*o**(-14))**(8/7) assuming o is positive.
o**(-104/7)
Simplify g*g**(-1)*g*g**(-7)*g**7*g**(3/4) assuming g is positive.
g**(7/4)
Simplify (t**(-3/2))**(-1/3) assuming t is positive.
sqrt(t)
Simplify (p*p**9)/((p/(p*p**(7/3)*p))/p) assuming p is positive.
p**(43/3)
Simplify (h**0/h*h)/(h**4/h*h) assuming h is positive.
h**(-4)
Simplify (c/(c/(c**8*c)))/c*c**(-2/17) assuming c is positive.
c**(134/17)
Simplify (u**1)**(-36)*(u/u**(-1))**(-15/4) assuming u is positive.
u**(-87/2)
Simplify (c/c**(5/8))/c**(-7/4) assuming c is positive.
c**(17/8)
Simplify x**(9/8)*x**(1/25) assuming x is positive.
x**(233/200)
Simplify (h**(1/3)*h)**(-39)/((h/(h/(h/(h*(h/(h*(h*h*h*h**(-2/13))/h)*h*h*h)/h)*h)))/h**(2/19)) assuming h is positive.
h**(-13027/247)
Simplify (p*p**(-1/4))/p*p/p**(-1/5)*p*(p**2)**15 assuming p is positive.
p**(639/20)
Simplify ((c*c**(-1/11)*c*c)/(c*c**(-3)))**(1/7) assuming c is positive.
c**(54/77)
Simplify (l**(-1/5))**(-23/3)/(l**(-1/9)*l*l**(-4)) assuming l is positive.
l**(209/45)
Simplify ((o*o**(-2/5))/o)**33/((o**(-7)/o)/o**(-3)) assuming o is positive.
o**(-41/5)
Simplify (x**(-1/2))**(3/8)/(x**(-3/2)/x*x**(-1/3)) assuming x is positive.
x**(127/48)
Simplify (c*c/(c*c/((c/(c*c**(-1)/c))/c)*c))/c**(-5/4)*c**(-7)*c**(4/3) assuming c is positive.
c**(-53/12)
Simplify (y*y**(-3/4)/y*y*y)/y*y**(-2/5)*y assuming y is positive.
y**(17/20)
Simplify (o**0*o*o**(-1/3)/o)**(-3) assuming o is positive.
o
Simplify (c**(3/7)/(((((c**(-2/9)*c*c)/c)/c)/c*c)/c))/(c**(-3/5)*c*c**(-9)) assuming c is positive.
c**(3229/315)
Simplify (s**(1/22))**20 assuming s is positive.
s**(10/11)
Simplify (i**(1/18)/i)**(4/29) assuming i is positive.
i**(-34/261)
Simplify (c**(-1/2))**(-49)/(c/c**(-1))**(1/16) assuming c is positive.
c**(195/8)
Simplify (z**(3/13))**(-2/25) assuming z is positive.
z**(-6/325)
Simplify t**(1/12)*t**(3/2) assuming t is positive.
t**(19/12)
Simplify ((p*(p/p**(-3))/p)/(p*p/(p**(-4)/p)))**36 assuming p is positive.
p**(-108)
Simplify (j/j**5)/(j/(j/(j*j*j**(-10)))*j) assuming j is positive.
j**3
Simplify ((o**(2/13))**11)**(9/8) assuming o is positive.
o**(99/52)
Simplify (k/(k/k**(-7/3))*k)**(-3/22) assuming k is positive.
k**(2/11)
Simplify ((f/(f*f**(-1/3)*f))/(f**(-16)*f))**37 assuming f is positive.
f**(1591/3)
Simplify (a**(1/23)/a)**(-1/15) assuming a is positive.
a**(22/345)
Simplify (b**8/b*b/b**(2/5))/(b**(-2/5))**(-6/35) assuming b is positive.
b**(1318/175)
Simplify (l/(((l**1/l)/l)/l*l))**36/(l/l**(2/9)*l*l*l**6/l) assuming l is positive.
l**(578/9)
Simplify (g**(-6)*g*g**(3/5))/(g**(-2/5))**16 assuming g is positive.
g**2
Simplify (h**(1/4)/h**(-1/7))/(h*h**(-1))**(-31) assuming h is positive.
h**(11/28)
Simplify (((d/(d*d**(-2/11)))/d)/d**10)**17 assuming d is positive.
d**(-2023/11)
Simplify (x**(-7/5)*x**(-2/35)*x*x)**(1/12) assuming x is positive.
x**(19/420)
Simplify ((y*y**(-1)*y)/(y*y**(1/3)))/(y/y**(-3/5)*(((y/(y/(y/(y*(((y*(y/(y**(-4)*y))/y)/y)/y)/y*y))))/y)/y)/y*y*y) assuming y is positive.
y**(16/15)
Simplify (u**7*u**(-2/7)/u)**(-20) assuming u is positive.
u**(-800/7)
Simplify (w**(2/11)*w*w/((w**(-5)*w*w)/w))/(((w*w*(w*w*w**(-1)/w)/w)/w)/(w**1*w)) assuming w is positive.
w**(90/11)
Simplify (((((c*c**0)/c)/c)/c)**(-19))**(-1/24) assuming c is positive.
c**(-19/12)
Simplify (f**(-7)*f*f*f*f*(f*f*f/(f/(f*f/(f*f**(-2/17)*f))))/f*f)**(-47) assuming f is positive.
f**(705/17)
Simplify (((m*m**(1/8)/m)/m)/(m/m**(3/2)))/(m**4*m**(-9)/m) assuming m is positive.
m**(45/8)
Simplify (w**6/w*w**(1/9)/w)/(((w*((w*w/(w*w**(-2/33)))/w)/w)/w)/((w/w**(-2/15))/w)) assuming w is positive.
w**(2566/495)
Simplify (y**(-2/7)/(y*y**1))**(4/17) assuming y is positive.
y**(-64/119)
Simplify (w**(-2/15)*w/(w*(w/w**(-8))/w*w))**8 assuming w is positive.
w**(-1096/15)
Simplify y**(-2/13)/((y**(-4)*y)/y)*y**(2/15)*y*y*(y/(y*y**(-5/2)))/y assuming y is positive.
y**(2917/390)
Simplify v**(2/43)/v**(1/22) assuming v is positive.
v**(1/946)
Simplify (s/(s**(3/5)/s))**(-1/17) assuming s is positive.
s**(-7/85)
Simplify o**(-2/7)/((o*o**(-1/4)*o)/o*o)*(o/(o**1*o))**(-2/7) assuming o is positive.
o**(-7/4)
Simplify (p**(-14/5)*p*p)/(p*p**8*p) assuming p is positive.
p**(-54/5)
Simplify ((x**0)**(-3/10))**(-28) assuming x is positive.
1
Simplify ((n*(((n/n**(-1/4))/n)/n)/n)/(n*n**(1/11)))**21 assuming n is positive.
n**(-1701/44)
Simplify (((a**(-2)*a)/a)**(-9))**(-4/7) assuming a is positive.
a**(-72/7)
Simplify (h**24/h*h)/(((h/(h/(h**(1/36)*h)))/h)/h) assuming h is positive.
h**(899/36)
Simplify (k**1/k)**39/(k*(k**(3/5)/k)/k*k*k*k**(-3)) assuming k is positive.
k**(7/5)
Simplify g*g/g**(-2/3)*g**(2/13)*(g/(g**2/g))**(-1/38) assuming g is positive.
g**(110/39)
Simplify (z*z/(z/z**3*z))/((z*z**(-19)*z)/z) assuming z is positive.
z**21
Simplify (v*v*v*v/v**12*v**(-4/7))**(2/9) assuming v is positive.
v**(-40/21)
Simplify ((u*u**(-2/11)*u*u)**41)**20 assuming u is positive.
u**(25420/11)
Simplify ((f*f/((f/f**(-3/4))/f)*f*f)/f*f**(3/7)/f)**(-6/25) assuming f is positive.
f**(-141/350)
Simplify (r*r**(-2/33)*r)/(r*(r*r/(r*r**(1/19))*r)/r) assuming r is positive.
r**(-5/627)
Simplify (u*u/(u/(u/(u**(-6/7)*u*u))*u)*u*u**(-11)/u)**14 assuming u is positive.
u**(-156)
Simplify (n*n**(-9))/n*n/((n/(n*n**(2/3)))/n) assuming n is positive.
n**(-19/3)
Simplify ((u**(1/5)*u)/(u/(u/u**(-2))))/(u**(-2))**(-16) assuming u is positive.
u**(-144/5)
Simplify y**(-1/6)/y*y/y**(-12) assuming y is positive.
y**(71/6)
Simplify (x*x*x**0)**(-24)*x**(2/11)/x**0 assuming x is positive.
x**(-526/11)
Simplify (j**5*j)/j*j/(j/(j/j**(2/43)*j)*j)*j assuming j is positive.
j**(299/43)
Simplify (o*o**2)/o*o**(-1/2)*o/(o**(-1/2)*o*o)*(o/(o/(o/(o*o**(-3)))))/o*o assuming o is positive.
o**4
Simplify (c**(-1/4))**(2/85)/(c/(c/(c*c/(c**(-9)/c)))*c**(-3/7)) assuming c is positive.
c**(-13777/1190)
Simplify b/(b*b/(b*b*b**(-10)))*b*b*b**38*b assuming b is positive.
b**32
Simplify (q*q*q*q*q*q**1*q*q)**(4/31)/(q**(-1)/q)**(-9/8) assuming q is positive.
q**(-151/124)
Simplify (z*z**1)/((z**(-2/25)/z)/z) assuming z is positive.
z**(102/25)
Simplify (b**(2/5))**(-12/17) assuming b is positive.
b**(-24/85)
Simplify z*z**(-23)*z*z**7/z assuming z is positive.
z**(-15)
Simplify (d/(d**(1/18)/d))/(d/(d*d*(d*d/(d*d**(2/7)))/d*d)) assuming d is positive.
d**(461/126)
Simplify (z*z**(-2/57)/z)/(z*z**(-16)) assuming z is positive.
z**(853/57)
Simplify (i**(-2/3))**(-4/23) assuming i is positive.
i**(8/69)
Simplify ((r*r*(r/(r/(r*r*r**(-2))*r*r))/r)**40)**(-29) assuming r is positive.
r**1160
Simplify (x/x**(-5))**(-2/81) assuming x is positive.
x**(-4/27)
Simplify ((((b/(b*b**2))/b*b)/b*b)**(-1/17))**(-33) ass
|
{
"pile_set_name": "DM Mathematics"
}
|
alse
Is 1293078719 prime?
True
Is 8618175563 a prime number?
True
Is 5435740171 composite?
False
Is 4898538691 composite?
True
Is 31144602695 composite?
True
Is 9744965333 a composite number?
False
Is 11710576783 a composite number?
False
Is 124347193 a prime number?
True
Is 1615467829 prime?
False
Is 45185929111 composite?
True
Is 51818082163 composite?
True
Is 116486087887 composite?
True
Is 2729770189 a composite number?
True
Is 301862852959 composite?
True
Is 37407865949 prime?
True
Is 277079009 prime?
True
Is 111619717429 a prime number?
False
Is 4197605401 prime?
False
Is 358530751 a prime number?
False
Is 12489703 a prime number?
True
Is 12230019029 composite?
True
Is 3929907803 composite?
True
Is 1647030883 prime?
True
Is 2225467499 prime?
False
Is 16860484357 composite?
False
Is 10230078997 composite?
True
Is 11298035081 a prime number?
True
Is 213387439 a prime number?
False
Is 2585859607 composite?
True
Is 10070665223 a prime number?
True
Is 1851174463 prime?
True
Is 10042538021 a prime number?
False
Is 308836403 composite?
False
Is 1805947903 prime?
False
Is 235704965 a composite number?
True
Is 50592653213 composite?
False
Is 1995312001 a composite number?
False
Is 125855269817 composite?
True
Is 288163739 composite?
False
Is 877117189 prime?
False
Is 62417946401 composite?
False
Is 150994141 prime?
True
Is 20862438587 prime?
True
Is 21127610561 a composite number?
True
Is 1192785733 prime?
False
Is 9088274711 composite?
True
Is 1691189623 a composite number?
False
Is 351544085 prime?
False
Is 281130881 a composite number?
False
Is 9743995123 a prime number?
True
Is 3752770061 composite?
False
Is 2079449417 composite?
True
Is 3691662739 a composite number?
False
Is 59985148151 prime?
False
Is 490158389 a composite number?
True
Is 2285513303 a prime number?
False
Is 1014564203 a prime number?
True
Is 4571066737 a composite number?
False
Is 3487100747 a prime number?
False
Is 4692559481 a composite number?
False
Is 23180946541 a prime number?
False
Is 13025431927 prime?
True
Is 8312033539 a prime number?
False
Is 4046348513 prime?
True
Is 28566624727 composite?
True
Is 2176295899 prime?
False
Is 331836537 composite?
True
Is 15782138714 a prime number?
False
Is 1774640873 a composite number?
True
Is 330487771 a composite number?
False
Is 50165685527 a prime number?
True
Is 11292862267 prime?
False
Is 9197349331 prime?
True
Is 848617967 composite?
False
Is 266350631 prime?
True
Is 288615572585 a prime number?
False
Is 74292313211 composite?
False
Is 869865529 a composite number?
True
Is 1557893881 a prime number?
False
Is 38539180487 prime?
False
Is 71226518843 a composite number?
False
Is 401110448423 composite?
True
Is 123707598991 a prime number?
True
Is 170784707 a prime number?
True
Is 11044433017 prime?
False
Is 4483635589 a composite number?
False
Is 1716071167 a prime number?
True
Is 235177651 composite?
False
Is 21693961589 a prime number?
False
Is 221541419551 prime?
True
Is 47094953 composite?
False
Is 397609241 a composite number?
False
Is 2378474417 composite?
True
Is 23836488199 composite?
True
Is 19788468857 prime?
True
Is 39714743 composite?
True
Is 2767100969 a prime number?
True
Is 898467653 composite?
True
Is 13710031513 prime?
True
Is 28130695189 a composite number?
False
Is 3732615587 composite?
False
Is 15067248499 composite?
True
Is 3615632887 a prime number?
True
Is 17029680761 composite?
False
Is 433817957 a composite number?
True
Is 1675159466 prime?
False
Is 9858682099 composite?
True
Is 470691367 a composite number?
False
Is 141200779 a composite number?
False
Is 9304227967 a composite number?
True
Is 658302793 a prime number?
False
Is 396950821 a prime number?
False
Is 620019821 a prime number?
True
Is 1295469211 prime?
False
Is 1432681739 a prime number?
True
Is 61598269699 composite?
False
Is 6042887959 a composite number?
False
Is 54204757 prime?
False
Is 332376371 composite?
True
Is 1175386009 a composite number?
True
Is 21528621341 prime?
True
Is 358173241 a prime number?
True
Is 1196860337 a prime number?
True
Is 4976779967 composite?
True
Is 40480307149 a composite number?
True
Is 2577825857 a composite number?
False
Is 4287684763 composite?
False
Is 3307214513 prime?
True
Is 2709641413 a prime number?
True
Is 9123716537 a composite number?
True
Is 10075338047 composite?
True
Is 229419727 composite?
True
Is 1526404697 a composite number?
True
Is 25614376054 a composite number?
True
Is 391588469 composite?
False
Is 5469945421 a composite number?
False
Is 4842592471 a composite number?
False
Is 22973077067 a prime number?
False
Is 887446346 a prime number?
False
Is 4474993739 prime?
False
Is 94668178123 a prime number?
False
Is 34933802663 a composite number?
True
Is 129258901 prime?
True
Is 13150535263 prime?
False
Is 2187217477 a prime number?
True
Is 75460678 composite?
True
Is 15780366583 a composite number?
False
Is 10481784499 composite?
True
Is 1987445731 composite?
False
Is 483226273 composite?
True
Is 100571052631 prime?
False
Is 2558714449 a composite number?
True
Is 258537431 a composite number?
True
Is 251941982003 a prime number?
True
Is 28989067553 a prime number?
True
Is 626778541 a prime number?
True
Is 2615550373 a composite number?
True
Is 115932180941 composite?
False
Is 13125689371 a composite number?
False
Is 1011750793 composite?
True
Is 7713696539 composite?
True
Is 2123335911 a prime number?
False
Is 54456533753 a composite number?
True
Is 1965599453 composite?
False
Is 4218346733 prime?
False
Is 275782909 prime?
True
Is 4902217799 a prime number?
False
Is 7472444333 a prime number?
False
Is 384204133 a composite number?
False
Is 525291391 prime?
True
Is 13536305863 a prime number?
True
Is 614219659 a prime number?
False
Is 228974129 a composite number?
False
Is 1465994063 composite?
True
Is 372732943 prime?
False
Is 1137104299 composite?
False
Is 3359770651 a composite number?
True
Is 5951034461 a prime number?
True
Is 468917083 a prime number?
True
Is 12070629781 prime?
False
Is 11005909559 a composite number?
False
Is 320639057 composite?
True
Is 3224624779 composite?
True
Is 46047747637 prime?
False
Is 85429613 a prime number?
False
Is 19005491449 prime?
False
Is 2442644537 composite?
True
Is 946380619 prime?
False
Is 121970397337 composite?
False
Is 4331437177 prime?
True
Is 30659684507 a composite number?
False
Is 19154194187 composite?
True
Is 191379401 a prime number?
False
Is 2120167739 a composite number?
False
Is 12020858029 a prime number?
True
Is 88953251 prime?
True
Is 2065992397 prime?
False
Is 55328075207 a composite number?
False
Is 215250853 prime?
False
Is 22474744027 prime?
False
Is 18309981839 composite?
False
Is 72762337 composite?
False
Is 235207803 composite?
True
Is 130017803 a prime number?
True
Is 10616040445 a composite number?
True
Is 15939608369 a prime number?
True
Is 11569932851 composite?
False
Is 42500559329 prime?
False
Is 7605539833 prime?
True
Is 722886709 prime?
False
Is 8319407639 a composite number?
True
Is 3647572499 a prime number?
False
Is 201245251855 composite?
True
Is 997666063 prime?
False
Is 761864251 prime?
True
Is 77891195103 prime?
False
Is 53280550201 composite?
False
Is 116764327 a composite number?
False
Is 1553366059 a prime number?
False
Is 1615723001 a composite number?
False
Is 3821864707 a prime number?
False
Is 244273371593 composite?
False
Is 1575063781 a prime number?
False
Is 6702795047 a composite number?
True
Is 287885261 composite?
False
Is 474819719 prime?
False
Is 11621449789 composite?
False
Is 2151481883 composite?
True
Is 4259474537 composite?
False
Is 33062159081 prime?
False
Is 970991741 composite?
True
Is 218974114257 a prime number?
False
Is 1037826007 prime?
True
Is 78252256661 a prime number?
True
Is 1405408211 a composite number?
True
Is 20411452141 composite?
False
Is 7085588197 a composite number?
True
Is 698723617 composite?
False
Is 17800694657 composite?
True
Is 826023109 prime?
True
Is 153228900641 prime?
False
Is 2332000919 a prime number?
True
Is 1298846117 composite?
False
Is 450240823 a prime number?
False
Is 3756308581 a composite number?
False
Is 16471512821 composite?
False
Is 3306753649 a prime number?
True
Is 4026007901 composite?
False
Is 6298646467 prime?
True
Is 637243063 a prim
|
{
"pile_set_name": "DM Mathematics"
}
|
-3
Rearrange 4*r**2 - 9 + 2*r + 17 - 3*r**2 + r**2 to j*r**2 + p*r + q and give p.
2
Express (-7 + 4 + 5)*(-b**4 + 2*b**3 - 2*b**3) in the form o*b**2 + q*b**3 + k*b + g + w*b**4 and give k.
0
Rearrange (-1 + 2 - 3)*(4*z**3 + 0*z**3 + 0*z**3)*(-4*z + 3 - 3) - 6*z**4 + 2*z**4 + z**4 to h*z + n*z**2 + o + c*z**4 + f*z**3 and give c.
29
Rearrange (-2*l - l**3 + 2*l)*(9 + 1 - 5)*(0 + 2 - 3)*(0 + 0 - 1)*(3 + 6 + 25) to the form a*l + d*l**2 + i*l**3 + k and give a.
0
Rearrange -d**2 + 0*d**2 + 0*d**2 + (-3*d - d + 5*d)*(-3*d + 3 - 3) + d**2 - 3*d**2 + 0*d**2 to the form k*d + v*d**2 + g and give v.
-6
Rearrange 2*h**2 - 15*h**2 + 9*h**2 + 3 + 0*h**2 to g*h + j*h**2 + p and give p.
3
Rearrange 4*k + 0*k - 2*k + (0 + 2 - 3)*(k - k - k) + (0 + 1 + 3)*(-2*k - 6*k - 5*k) to s*k + p and give s.
-49
Express (2*r + 3*r - 3*r)*(41378 + 29*r - 41378)*(-3 + 3 - r) as s*r**2 + p*r**3 + x + d*r and give s.
0
Rearrange 3 - q - 5 - 4 to u*q + t and give u.
-1
Rearrange -3*w**4 - 2 - 2*w - 2 + 6 to l*w**3 + d + q*w + x*w**2 + n*w**4 and give n.
-3
Rearrange -3*w**2 + 4 + 9 - 8 to h*w + d + p*w**2 and give d.
5
Rearrange 5*k**2 - 2*k + 3*k**2 - 3*k**2 + 0*k to the form j*k**2 + t + y*k and give j.
5
Express (-3 + 0 + 0)*(-9*i + 4*i + 0*i)*(i + 1 - 1) in the form t*i + r + j*i**2 and give j.
15
Rearrange 13*m**3 - 3*m**3 + 2*m + 13*m**3 - m to the form p*m + a*m**3 + c*m**2 + u and give a.
23
Express (0*v + 2*v - 4*v)*(-6 - 3*v + 6)*(-2 + 0 + 5) in the form x + l*v + s*v**2 and give s.
18
Express -99*z + 3*z**2 + 97*z + 5*z**2 as o*z + q + i*z**2 and give i.
8
Express (2*b**2 - b + b)*(-2 + 2*b**2 + 2) + (-2*b + 2 - 2 - b**2)*(-3*b**2 - 9*b**2 + 13*b**2) as d*b**2 + o + c*b**4 + k*b**3 + u*b and give c.
3
Rearrange -2*p**2 + p**3 - 4*p + p**2 + 2*p + 0*p**2 to the form w*p**3 + m + s*p**2 + x*p and give x.
-2
Rearrange (0 + 3 + 0)*(5 + 1 - 4)*(-j + 2 - 2)*(-1 + 1 - 4) to the form s*j + p and give s.
24
Rearrange (-6*c + 2 + 3 - 3)*(-2 + 3 + 1)*(-4*c**2 - c**2 + 2*c**2) to q + d*c**3 + g*c + a*c**2 and give a.
-12
Express (-5 + 1 + 2)*(-3 + 3 - f**4) - f**4 + f**4 + f**4 + 4*f - 5*f - 108*f**4 + 241*f**4 in the form i*f + k*f**3 + v*f**4 + q*f**2 + w and give v.
136
Rearrange 7*q + 4*q**4 - 2*q**4 - q**4 + q**4 - q**2 to the form j*q**4 + k*q**3 + l*q**2 + h*q + r and give j.
2
Express (-c**4 + 4*c - c**3 - 4*c)*(-8 + 16 - 9) as n*c + p*c**2 + i*c**4 + g + v*c**3 and give i.
1
Rearrange (-80 - 14 - 59)*(-1 + 1 + c) to the form x + z*c and give z.
-153
Express (0*x**2 + x**2 - 2*x**2)*(1 - 3 + 1) - 42*x**2 + 14*x**2 - 28*x**2 in the form n*x**2 + p + l*x and give n.
-55
Rearrange 17*t**2 - 7*t**2 - 8*t**2 + 2*t**3 - t**4 - 1 to the form a*t + l*t**3 + b + x*t**4 + f*t**2 and give b.
-1
Express (-1 + 0 + 0 - i)*(-4 + 0 + 3) in the form y + z*i and give y.
1
Rearrange -14*m**2 + 23*m**2 - 4*m**2 to p*m + a*m**2 + u and give a.
5
Rearrange -26*i + 143 - 143 to the form r*i + w and give r.
-26
Rearrange (-7 + 2 - 2)*(1 - 1 + c**2) to the form j*c + i + q*c**2 and give i.
0
Rearrange 2 + 7*r - 2*r**4 + 1012*r**2 - 2*r**3 - 2*r - 1010*r**2 to the form a*r**3 + n*r**4 + q*r**2 + d*r + i and give d.
5
Express ((3 + 3 - 4)*(m - 2*m + 4*m) - 3*m + 5*m + 3*m)*(1 - 6 + 4) in the form k*m + j and give k.
-11
Express -16*f**2 + 2*f**3 - 17*f**2 + 32*f**2 - 5*f as z*f**3 + b + h*f**2 + w*f and give z.
2
Rearrange (3 - 2*q - 3)*(2 - 2 + q + (-1 + 4 - 2)*(2*q - 4 + 4)) + (-3*q + 3*q - 2*q)*(0*q + 0*q + 2*q) to j*q**2 + o*q + r and give j.
-10
Rearrange -10*k**2 + 3*k + 0*k - 6*k + 0*k**3 + k**3 to u*k + r*k**3 + j*k**2 + o and give r.
1
Express -2*a**2 + 17*a**2 + 8*a**2 in the form j*a**2 + s + k*a and give j.
23
Express 48*y - 8*y**3 + 33*y**3 - 13*y**3 - 14*y**3 in the form b*y**2 + v*y + i + h*y**3 and give v.
48
Rearrange -13*i**2 - 8 + 5 + 2*i**3 + 5 to s*i**3 + t + g*i + u*i**2 and give u.
-13
Rearrange -5*x**2 + 3*x**2 + 24*x**2 to the form p*x**2 + g*x + o and give g.
0
Express 5*s**3 - 3*s**3 - 54*s - 19*s + (4*s - 3*s - 3*s)*(2*s - 2*s**2 - 2*s) in the form j*s**2 + k*s + b*s**3 + t and give t.
0
Express p**3 + 2*p**2 - 143*p - 7 + 143*p as s*p + v*p**2 + t*p**3 + i and give v.
2
Express 11*q**2 + q**2 + 34*q**2 - 2*q**2 in the form l*q + r*q**2 + g and give r.
44
Express (32 + 36*c - 32)*(1 + 3*c - 1) in the form u + f*c + d*c**2 and give d.
108
Express (1 + 3 - 3)*(2*s - 2*s - 6*s)*(-s - 9*s**3 + s) as a*s**3 + r*s + y + u*s**4 + h*s**2 and give u.
54
Rearrange 1588*h - 1588*h + 90*h**2 to the form c*h**2 + j*h + v and give c.
90
Express 0*p**3 + 4*p**2 - 21*p**4 - 2*p**3 + 23*p**4 + p**2 in the form a*p**4 + d*p**3 + f + j*p + r*p**2 and give d.
-2
Express n**3 - 321 + 321 - n in the form w + t*n**2 + c*n**3 + u*n and give c.
1
Express 2*b**2 - 2 - 2*b - b - 2*b**4 + 3*b as u*b**2 + m + o*b**3 + t*b**4 + w*b and give u.
2
Express 0 - 2 - 16*l + 2 in the form f*l + g and give f.
-16
Express (-7 - 1 - 3 + (2 + 3 - 4)*(-1 - 2 - 2) + 6 - 4 + 1)*(0 - 2*f**4 + 0) as u*f**2 + d*f**3 + j + p*f + m*f**4 and give m.
26
Express (4*q**3 - 18*q**3 + 771*q - 767*q)*(-4 + 4 - 2*q) as n*q + l*q**4 + g*q**2 + i*q**3 + o and give g.
-8
Rearrange 2 - 2*j + 3*j - 3 - j + 0*j + 3*j + (-1 + 2*j + 1)*(3 - 1 - 1) + j + 3*j - 2*j + j + 2 - 2 + 4*j - j - 5*j to the form a*j + w and give w.
-1
Express 2*w + 2*w - 3*w - 1 + w + 1 + (1 - 2 + 3)*(w - 3*w + 0*w) + 1 - 1 + w + 9 + 4 + 3*w - 4*w as y + q*w and give y.
13
Express (3 + 1 - 5 + 0 + 3 - 1 + (1 + 3 - 3)*(1 + 0 - 2) + 0 + 3 + 0)*(3 - 7 + 1)*(-10*f + f + 3*f) in the form s + z*f and give z.
54
Rearrange -f**4 + 4*f**3 + 0*f**4 - f + 2*f**4 to j + m*f**2 + n*f + b*f**3 + d*f**4 and give b.
4
Express (-2*o + 2 - 2)*(-153*o + 166*o - 1 + 0) in the form z*o + j*o**2 + w and give z.
2
Rearrange 0*x**3 + 3*x**3 - 4*x**3 + (2 + x - 2)*(-3*x**2 + 2*x**2 + 0*x**2) + 2*x**3 - 2*x**3 - 4*x**3 to the form i*x + k*x**3 + p*x**2 + f and give k.
-6
Express (5*t**3 - 4*t**3 + 0*t**3)*(-65 - 4 - 55) as s*t**3 + g + v*t + l*t**2 and give s.
-124
Rearrange 66*c + 57*c + 4*c - 46*c to k + n*c and give n.
81
Rearrange 3*p**3 + 2*p**2 - 5*p + 0*p + 2*p to q*p + y*p**3 + n*p**2 + x and give q.
-3
Express (-227 - 9*f + 227)*(3 + 1 - 6) in the form i*f + d and give i.
18
Express 3*w**3 - w**3 + 5*w + 2 - 7*w in the form i*w**2 + n*w**3 + y + f*w and give f.
-2
Express -2*i**2 - 29 + 26 - i - 2*i**3 + 5*i**3 in the form p*i**3 + m*i**2 + a*i + l and give l.
-3
Rearrange -l**3 + 14*l**2 + 3*l**3 + 0*l**3 to c*l + m + u*l**3 + n*l**2 and give n.
14
Rearrange 4 - 5*o - o**2 - o + 10*o - 5*o to f*o**2 + t*o + i and give t.
-1
Express (3*h - 1 + 1)*(7*h + 6*h - 14*h - 45) + 2*h**2 - 6*h**2 + 3*h**2 + (0*h + h - 3*h)*(-2*h + 0*h + 4*h) in the form b*h + p + l*h**2 and give l.
-8
Rearrange (-10 - 45 - 35*y + 55)*(-y + 0*y + 3*y) to the form r*y**2 + j*y + v and give v.
0
Rearrange b - b**4 + 9*b**2 + 1 - 9*b**2 - 2*b**3 to q*b**2 + f + p*b + n*b**3 + h*b**4 and give h.
-1
Rearrange (0*y**2 + 2*y**2 - 4*y**2)*(-2*y - 3*y + 2*y) - y**3 + 4 - 4 to the form t*y**3 + g*y**2 + p + o*y and give t.
5
Express (3 + 1 - 2)*(10*s**4 + 1083*s - 1083*s) as d*s + a*s**2 + l*s**4 + t + f*s**3 and give l.
20
Rearrange b**3 - b**3 - b**3 + 32*b**3 + 97*b**3 + 11*b**3 + (1 - 4 + 2)*(0*b**3 + 0*b**3 + b**3) to g*b + y*b**2 + n*b**3 + m and give n.
138
Rearrange -7*f**3 - f**3 + 0*f**3 + (-2 + 2 - f**3)*(1 + 0 + 0) to w + p*f**2 + b*f + k*f**3 and give k.
-9
Rearrange (3 - 1 + 2*p - 4*p)*(2*p + 9*p - 4*p - 2*p**2) to the form o*p + v*p**3 + n + c*p**2 and give v.
4
Rearrange (-4*s - s + 40*s)*(0*s + 0*s - 2*s) to the form u*s + v + w*s**2 and give w.
-70
Rearrange 23 - 46*n**2 - 50*n**2 - 2*n**3 + 151*n**2 - 54*n**2 - 3*n**4 to m*n**2 + h*n**3 + l*n**4 + r*n + w and give l.
-3
Express -43*v**3 - v**2 + 3*v**2 + 24*v**3 + 25*v**3 + 1 as h*v**3 + x*v**2 + r + q*v and give r.
1
Express (2*s**2 + 3*s**2 - 2*s**2)*(-9*s + 0*s + 2*s) in the form u*s**2 + m*s + p*s**3 + y and give p.
-21
Express 57*b - 3 - 5 + 8 as n + f*b and give f.
57
Rearrange (-2*l + 0 + 0)*(-2*l - 2*l + 2*l) + (1 + 2*l - 1)*(1 - 4 + 5)*(26*l + 17*l + 5*l) to the form u*l + v*l**2 + p and give v.
196
Express 2*p**2 + 0*p + 0*p + (5*p**2 + 0*p**2 - 4*p**2)*(2 + 0 - 4) + 4*p - p**2 - 4*p + 3*p**2 - 5*p**2 - 2*p**2 as f*p + x +
|
{
"pile_set_name": "DM Mathematics"
}
|
r n.
-2
Solve 5*j - 37 = 4*s, 22*s - 27*s = 5*j - 10 for s.
-3
Solve p - 5 = -2*m, -5*p + 3*m + 4 - 5 = 0 for p.
1
Solve -3*f + 2*m + 19 = 0, 4*f + m - 3 = 4 for f.
3
Solve -4*l = -4*q + 40, -5*l + l = -3*q + 35 for q.
5
Solve t + 3*l + 3 = -0*l, 5*t - 19 = 2*l for t.
3
Solve v + 5*x - 23 = 0, -v = -2*x + 5 - 0 for v.
3
Solve -j + 25 = -4*k, -3*j = -2*k - 9 - 16 for k.
-5
Solve 3*h + 3*g - 21 = 0, 16*g = 4*h + 15*g - 33 for h.
8
Solve -2*z - 4*f = z, 3*z - 21 = 3*f for z.
4
Solve 0*x - 5*x = 5*m - 15, 3*m - 12 = -4*x for x.
3
Solve 3*d - 11 + 6 = 2*z, 23 = -5*z - 3*d for z.
-4
Solve 5*z = -4*o + 3 - 8, -5*o + 5*z + 50 = 0 for o.
5
Solve -2*k - 5*p = 18, 2*k - 61 = 2*p - 65 for k.
-4
Solve -2*r + 4 = 0, -2*y + r = -0*y + 12 for y.
-5
Solve 2*x = -5*i - 25, -881*x + 4*i = -883*x - 20 for x.
0
Solve -3 = -15*l + 20*l - 2*d, 4*l + 16 = 5*d for l.
1
Solve v - 4 = 0, -13*t + 8*t = -2*v - 7 for t.
3
Solve 3*q - q + s = 3, -2*q - 3*s - 7 = 0 for q.
4
Solve -49*h + 20 = -54*h - 5*d, -d - 3 = 0 for h.
-1
Solve 5*q = -2*m + 6*m - 15, 2*m + 2*q = -6 for m.
0
Solve 3 = -2*k - q + 4, 5*k - 4*q = 35 for k.
3
Solve 18 = z - 5*x, 4*x = -4*z + 11 - 35 for z.
-2
Solve 0 = -3*u - 4*q - 16, 3 = -u + 3*q - 2*q for u.
-4
Solve -2*x = 3*u - 11, -7*u = -4*u + x - 10 for u.
3
Solve -3*t - 3*b = t + 29, -b - 3 = 0 for t.
-5
Solve 0 = -3*y - 5*a - 6, -16*a + 19*a = -5*y - 10 for y.
-2
Solve 90 = 6*u - 4*w + 82, 4*u = w - 3 for u.
-2
Solve 12 = 3*i, 0 = 2*q + 4*i - 15 + 9 for q.
-5
Solve -2*l + 7 = -s, 3*s = 5*l + 2*s - 13 for l.
2
Solve -2*i - 5*d - 10 = 3*i, -2*d = -4*i + 16 for i.
2
Solve 5*j = 5*i, 2 = -j - 3*j + 2*i for j.
-1
Solve 0 = 3*j - g + 10, -6*g - 30 = j - g for j.
-5
Solve 0 = 4*y - 3*p - 14, 4*y - 344 + 326 = p for y.
5
Solve 0 = 3*w + 3*f + 21, -4*f + 0 - 4 = -4*w for w.
-3
Solve 5*b - 16 = 7*b + 3*a, b + 15 = -5*a for b.
-5
Solve 0 = 11*s - 9*s + 4*g + 22, -4*g = -s + 19 for s.
-1
Solve -2*a - 2*s + 6 = 0, 0 = 3*a + 4*s - 12 + 1 for a.
1
Solve 0 = 5*t + 3*v - 14, -2*t + 12*v + 10 = 11*v for t.
4
Solve 0 = -5*n + 3*j - 15, 27*n = 22*n + 4*j - 15 for n.
-3
Solve -x - 17 = -4*f, -28*x + 1 = -29*x for f.
4
Solve 24 = -5*d + x, 0 = 12*d - 13*d + x - 4 for d.
-5
Solve -3*d = -12, -16*d + 13 = 5*l - 19*d for l.
5
Solve -2*l - 2 = -c, 2*l + c = l - 4 for l.
-2
Solve -3*a = 3*n - 30, -6*n + 5*n - 20 = -5*a for a.
5
Solve -5*w + 15 = -5*p, p = 6*w - 2*w - 15 for w.
4
Solve 6*x + 2*k + 19 = -3*x, 4*x = -2*k - 14 for x.
-1
Solve -17*p - 20 = 5*g - 22*p, -2*g - 8 = 5*p for g.
-4
Solve -5*v + 7*o - 3*o = -6, 0 = -5*v - 2*o + 12 for v.
2
Solve 4*t = 0, t = -4*l - t + 20 for l.
5
Solve 5*z + 2*v - 7 + 13 = 0, 4*z - 2*v = 6 for z.
0
Solve 0 = -3*r + 7*r + o + 15, 2*o = 5*r + 35 for r.
-5
Solve 0 + 2 = 4*b + 5*a, 11 = 7*b + 5*a for b.
3
Solve 0 = -3*y + 3*j - 15, 0 = 18*j - 19*j + 5 for y.
0
Solve -2*f - 3*q - 4 = 11, 43 = 5*f - 4*q for f.
3
Solve 1 = -4*w + t, 0*w + 2*w - 4*t = -18 for w.
1
Solve 2*c = -4*g - 14, -6*g + 10*g - 2*c + 2 = 0 for g.
-2
Solve -2*r + 11 = -n, 766*r = -3*n + 768*r - 17 for n.
-3
Solve -2 = -5*u + 2*z, -98*u + 94*u = 5*z - 28 for u.
2
Solve 3*l = 2*h + 7, -3*l + 10 = -h + 2 for l.
3
Solve -3*f - 2*a + 0*a = -8, -3*a - 14 = -2*f for f.
4
Solve -2*c - 5*a = -10, -6*c + 2*c - 2*a - 12 = 0 for c.
-5
Solve 4*v + 21 = -3*k, -k = 2*v - 3*v for k.
-3
Solve -i - b - 2 = 0, 25*b = -i + 20*b - 10 for i.
0
Solve 2*j = -2*j + 2*u - 8, -4*u = 0 for j.
-2
Solve 0 = r + 2*b - 1, -5 + 3 = r - b for r.
-1
Solve 8*j - 3*j + 20 = -2*i, 3*i = 0 for j.
-4
Solve -6*r = -5*r + 4*s - 15, s = 4 for r.
-1
Solve 4*a = -3*v - 3, 34 = 3*a - 8*v + 3*v for a.
3
Solve 5*f = 6*k - 2*k + 5, 5*f + 5*k - 50 = 0 for f.
5
Solve 4*i + 16 = 4*u, 490*u - i = 493*u - 4 for u.
2
Solve 5*z + 19 = 2*w, 0*z - 2*w + 13 = -3*z for z.
-3
Solve 8 = -4*b - 2*t, -3*b - 5*t - 11 = -2*b for b.
-1
Solve -3*p + 3 = 3*y - 9, -p + 4*y = 1 for p.
3
Solve -2*r = -s - 4, -7*s = -6*s + 2*r - 4 for s.
0
Solve 3*f + 12 = 3*c, -2*c + 2 = 2*c + 3*f for c.
2
Solve x = 3*h + 4, 0*h - 5 = 2*h - 3*x for h.
-1
Solve -3*h + 17 = -12*g + 8*g, -2*g = 4*h - 8 for h.
3
Solve 0*z - 22 = -z - 5*p, -5*z - 5 = 2*p for z.
-3
Solve 2*r + 10 = -2*b, -13 = -2*r - r + 4*b for r.
-1
Solve 3*c + 20 = 8*x - 10*x, 3*c + 13 = -x for c.
-2
Solve -6*c + 30 = -11*c + i, 0 = 5*c + 3*i + 10 for c.
-5
Solve b - 5*r = 13, -b - 3*r = -2*r - 1 for b.
3
Solve -4*u - 15 = r, -2*u + 7*u + 2*r + 21 = 0 for u.
-3
Solve 7 = -n - 66*s + 63*s, -s = 1 for n.
-4
Solve 0 = 5*b - 3*l - 13, 3*b - 9 = 610*l - 608*l for b.
-1
Solve t = -z - 2*t + 9, 0 = -2*z + 4*t - 22 for z.
-3
Solve 4*v - 16 = -b - 4, -4*b - v = -3 for b.
0
Solve 2 = -3*x + 5*w - 3, 0 = -4*x + 4*w + 4 for x.
5
Solve -t = -5*j + 8, -510*j + 513*j = -4*t - 9 for t.
-3
Solve 4*r = -2*s, -4*s + 10 = 2*r + 4 for r.
-1
Solve -3*c = -p - 10 + 15, -5*p - 2*c + 25 = 0 for p.
5
Solve 2*m - 9*l + 2 = -5*l, -1 = -m + 3*l for m.
-5
Solve 0 = 5*q - 5*k + 30, -k = 4*q - 3*q - 2 for q.
-2
Solve -2*z = 4*a - 0*a + 16, 9 = -3*a - 3*z for a.
-5
Solve 3*l - m - 13 = 0, -3*l - 2*m = -m - 5 for l.
3
Solve 2*f + 35 = -5*u + 14, -15 = 3*f + 2*u for f.
-3
Solve 4*u = 3*u + 3*h - 10, -3*u = -4*h + 15 for u.
-1
Solve 4*y = -5*j - 1, -4*j + 2*y = 83 - 77 for j.
-1
Solve -11*y = -8*y - t + 7, -y + 7 = -5*t for y.
-3
Solve 5*s - 19 = 2*n, 7*n = -s + 12*n - 10 for s.
5
Solve -4*r - 2*l = -0*r - 18, l + 21 = 4*r for r.
5
Solve -3*s - 5*b = -18, 0 = 9*s - 5*s + 4*b - 16 for s.
1
Solve 0 = 3*t - g - 1, -3*t - 12*g + 15*g - 9 = 0 for t.
2
Solve 5*t = -4*m + m - 4, m + 5 = 2*t for m.
-3
Solve 113*a - 108*a + 3*l + 4 = 0, -5*a - 5*l = 0 for a.
-2
Solve z + 4 = 10*x - 11*x, 5*z = 4*x - 20 for z.
-4
Solve -v + z = -4*v + 13, -5*v + z = -27 for v.
5
Solve 4*n + x = -6, 42*n + 16 = 39*n + 5*x for n.
-2
Solve -2*b + w = 4 + 8, -3*w = 2*b + 4 for b.
-5
Solve 7*b - 2*b + 25 = 0, 2*m + 21 = -3*b for m.
-3
Solve 3*s - 5*t = -4*t + 10, -2*s - 2*t - 4 = 0 for s.
2
Solve 6*g = -2*p - 20, -2*g + 4*p = 7*p + 9 for g.
-3
Solve 3*i = -4*s + 6 - 0, -3*s + 9 = 0 for i.
-2
Solve -4*k - 26 = -5*p - k, -p - k = -2 for p.
4
Solve 5*a - 21 = 4*b, -5*b - 5 + 15 = a for a.
5
Solve 7*g - 5*g + 3*t - 4 = 0, 0 = 2*t for g.
2
Solve -12 + 0 = -2*x + b, -2*b - 4 = 0 for x.
5
Solve 5*z = 0, -3*w - 6 + 21 = z for w.
5
Solve 2*t + 3*a + 12 - 2 = 0, 5*t + 4*a + 11 = 0 for t.
1
Solve -s + 6 = 4*w + 17, -8 = 2*w - 2*s for w.
-3
Solve 0 = -p + 2*s, -2*p = -0*s + s - 5 for p.
2
Solve -5*b - 6 = 4*q, q - 2 = 6*b - 9*b for b.
2
Solve p = 4*m - 22, 3*m - 7 + 0 = -4*p for p.
-2
Solve -2*l - 1 + 7 = 2*k, k + 6 = 2*l for k.
0
Solve 3*k + 4*y + 7 = 0, 86*y - 3 = -k + 82*y for k.
-5
Solve -2*q - 2*b + 53 = 55, 4*q = 5*b + 41 for q.
4
Solve 54 - 58 = -4*m, -g + 2*m = -2 for g.
4
Solve -5*s + 5 = -5*y + 10, -2*s + y - 2 = 0 for s.
-1
Solve -5*h + 4*t + 17 = 9, 0 = -2*h - 4*t + 20 for h.
4
Solve -2*d - 37 + 14 = 5*w, -2*w - 5 = 5*d for w.
-5
Solve -9 = -3*f - 11*r + 14*r, 2*f + r = -3 for f.
0
Solve -4*r + h = -0*r - 16, 0 = 5*r - 4*h - 31 for r.
3
Solve 4 = -n - 3*s - 3, 4*n = -4*s - 12 for n.
-1
Solve -5*u = -5*i - 0*u - 10, i - 4 = -5*u for i.
-1
Solve -5*q - 13 = 5*u - 28, -5*q + 3*u + 15 = 0 for q.
3
Solve 5*i = -q + 21, -2*i + 5*q - 8 = -11 for i.
4
Solve -q - 356 + 353 = -2*c, 4*c = -4*q + 12 for c.
2
Solve -5*m - 1 = 5*z - 6, -2*z = -4*m - 8 for m.
-1
Solve -h + 9 = -4*y, -y + 3*y = -3*h + 13 for h.
5
Solve -v - 2*g - 6 = 0, 2*v - 4*g - 40 = -3*v for v.
4
Solve 2*f + 4*n = 10, -28 = 4*f + n - 13 for f.
-5
Solve 5*l = -5*a + 25, 3*l + 5*a - 1 = 6*l for l.
3
Solve -u = 3*j + 14, -3*u = -2*j + 101 - 114 for j.
-5
Solve 2*i + 2*m - 24 = 0, 24*m - 25*m = 5*i - 32 for i.
5
Solve -4*a + 22 = -2*f, 5*a - 2*f = 9*a - 18 for a.
5
Solve 5*q - k + 22 = 0, 0*k + 5*k - 10 = 5*q for q.
-5
Solve -3*z + 2*z = 3, 4*z = -2*n - 18 for n.
-3
Solve -3*d - 3 + 1 = -2*g, 0 = -5*d + 4*g - 2 for d.
-2
Solve -2*p = -3*l + 1, 51*l = -5*p + 54*l - 16 for p.
-5
Solve -2*a + 2*k = 0, -2*a - 2*k = -19 + 3 for a.
4
Solve -4*p + 0*t - 16 = 2*t, 0 = 4*p - 5*t + 30 for p.
-5
Solve 4*j - 4 = -2*r + 10, 0 = 3*j + r - 9 for j.
2
Solve -f = -5*x, -2*f = 3*x - x for f.
0
Solve -4*m + 8 = -3*w, -3*m + 4*w - 33 = -39 for m.
2
Solve -2 + 37 = -5*r, 2*q - r - 9 = 0 for q.
1
Solve y + 2*y = -c - 19, 0 = -2*
|
{
"pile_set_name": "DM Mathematics"
}
|
(n/(n/n**(2/3)*n))/n)/n)/n)/n))*n)) assuming n is positive.
n**(-6392/1365)
Simplify ((h/(h/h**(-6/13)))**(1/4)*h**14*h**(-19)/h)**(21/4) assuming h is positive.
h**(-3339/104)
Simplify (((l**(3/4)/(l**(-7)*l))/((l/l**2)/(l*l**(1/3))))**(-7/12))**(2/103) assuming l is positive.
l**(-763/7416)
Simplify (s**(5/7)*s*s**2)**8*((s*s*s**(2/5))**(-2/9))**(-25/2) assuming s is positive.
s**(764/21)
Simplify (c**(-1/11)*c**(-6))/(c**(-2/9))**(-3/23)*((c**0/c)/c)**(1/18)/(c*(c**(2/5)*c)/c*c*(c/c**6)/c) assuming c is positive.
c**(-29954/11385)
Simplify ((m*(m/(m/((m**(-1)*m*m)/m))*m*m)/m)/m*m*m**6/m*m*((m/m**0)/m)**(-27/2))/((m**0)**(-39)/(m**5*m**(1/6))) assuming m is positive.
m**(79/6)
Simplify ((m**(-9))**(2/53)/((m*m**33)/(m**(-28)/m)))**(2/55) assuming m is positive.
m**(-6714/2915)
Simplify ((t*t/((t/(t**9/t))/t*t))/t**5)**(-18/13)/(t*((t*t**(3/7))/t)/t*t*(t**(-4/7)/t)/t*(t*t**(2/21)*t)/t**(-1)) assuming t is positive.
t**(-2045/273)
Simplify ((g**(-4)/g*g)/g**(-1/3)*(g**1)**32)/(g**(5/2)*g*g**(-4/3)/g*g*g*g**(2/9)*g*g*g/(g*(g/(g/(g*g/g**5)*g))/g)*g*g) assuming g is positive.
g**(287/18)
Simplify (((p**(-1/2)/(p/(p*p**3)))**(-20))**34)**(-5/4) assuming p is positive.
p**2125
Simplify (((p**11*p)/p)**30/(p**(-1))**(-32/3))**(-1/73) assuming p is positive.
p**(-958/219)
Simplify x/(x**(-2/17)*x)*((x*x**(4/7))/x)/x*x*(x*x**(-1/2))**(-16/9)*(x**(3/7)*x**(-1/4))/(x**8/x**(-2/3)) assuming x is positive.
x**(-5317/612)
Simplify ((((r*r**(-7))/r)/r*r)/(r**0*r)*((r*r**1)/r)/r**(3/10))/((r**(-10)/r)/r*r/r**7*r*r)**(5/2) assuming r is positive.
r**(327/10)
Simplify z**(2/11)*z*z**(-2/3)*z**(-7)*z/(z/z**4)*(z*z**(-1/6)*z)/(z*z*(z**(2/9)/z*z)/z)*z/(z**(1/5)/z)*z**7 assuming z is positive.
z**(6857/990)
Simplify (((i/(i*i**(7/4)*i*i))/i**(-7)*i**(3/13)/(((i/i**5)/i)/i))**(3/2))**49 assuming i is positive.
i**(72471/104)
Simplify (v**3*v**(2/9)*v*(v/v**(2/11))/v**(5/6))/(((v*v**(1/2))/v*v*v)**(-32))**(-17) assuming v is positive.
v**(-268447/198)
Simplify (b*b/(b/b**(1/5))*b/((b**(1/2)/b)/b)*(b/(b**(-5)*b))/b**(-2/7))/((b/b**(-2/3))**(-1/3)/(b**(-6)/((b/(b*b**(-4)))/b*b))) assuming b is positive.
b**(-289/630)
Simplify (((w*w*w**(-5)*w*w)/(w*w**7)*(w**2)**(-41))**4)**(-39) assuming w is positive.
w**14196
Simplify i**(-1/4)/i**(-3)*(i*i/((i**(-2/17)*i)/i*i)*i)/i*i/(i/i**(1/8))*(i**(2/7))**(4/21)*((i**(-1)*i)/i)**(-1/4) assuming i is positive.
i**(85907/19992)
Simplify ((n**(-4))**(2/25)/((n**18/n)/(n*(n**(-4/7)/n)/n*n)))**(-18) assuming n is positive.
n**(56358/175)
Simplify ((l**(1/8)/l**6)/(l/((l*l**0)/l)*l**(1/12)))/((l/(l*l*l**(7/4)*l)*l)/l*l/l**(-2))**(30/13) assuming l is positive.
l**(-1631/312)
Simplify ((((t**(-1)/t)/t)**(1/57)/(t**(-2/3)/((t/(t**(3/4)*t)*t)/t)))**(-36))**(-28/5) assuming t is positive.
t**(-2604/95)
Simplify ((i**(-1/3)*(i**(-4)*i)/i)/(i**(-1/3)/i**(4/5)))/((i*i/i**(-7)*i*i**2*i)/(i**(2/9)/(i**(2/9)/i))) assuming i is positive.
i**(-76/5)
Simplify ((a**(-3/23)/a*a*a**(-3))/(a**(-1)/a*a)**33)**(-33) assuming a is positive.
a**(-22671/23)
Simplify (w**(2/17)/w*w**(-2/7))**(27/5)*(w**(1/3))**(-29)/(w/((w/(((w/w**(-1)*w)/w)/w*w*w))/w)*w*w**(-1/5)) assuming w is positive.
w**(-37082/1785)
Simplify (p/p**(-6)*p**6/p)/(p*p**2/p)**(28/3)*(p/p**0)**(-1/5)*p*p**(-2/9)/p*p*p**8 assuming p is positive.
p**(86/45)
Simplify ((b/(b*b**17/b))/b**10*b*b*b**(17/2)*b*b*b/(b**(-30)*b))**(-8) assuming b is positive.
b**(-132)
Simplify ((t*t/t**(-5))**50/(t/t**(1/16)*t**(-2/5)*t))**(-11/4) assuming t is positive.
t**(-306647/320)
Simplify (d**(1/8)*d*d/(d/(d/d**2))*d*(d/(d/((d*(d**(-2/5)*d)/d)/d)*d))**17)/(d**(2/7)*d/((d*d**(-3))/d)*d/d**(-1/3)*((d**4*d)/d)/d) assuming d is positive.
d**(-26287/840)
Simplify (x**(3/4)/x**(3/7)*x**(-4)*x**(-6))/((x**(-1/4))**(14/5)*(x**2)**(12/13)) assuming x is positive.
x**(-19701/1820)
Simplify ((y**6/y*y**(1/19))/(y**(-3/4)/y**15))**0 assuming y is positive.
1
Simplify (g**(-1)/g)**(2/55)/(g**1)**(-26)*((g**(1/7))**19)**(-4/9) assuming g is positive.
g**(85658/3465)
Simplify ((u*u*u**(-2))/u**7)/(u*u*u**0)**(-14)*((u*u**(1/3))/(u*u**(-6)))/(u/(u/(u**(-2/11)*u))*u/(u**(-1/3)*u)) assuming u is positive.
u**(288/11)
Simplify ((u/u**12)/(u*u/(u*u*(u/(u/(u/(u*u*u**10))))/u)*u))**(2/29)/(u/(u**8/u)*u**(2/3)*(u*u**(-2/7))**(-3/7)) assuming u is positive.
u**(16985/4263)
Simplify (y/(y*(y**(2/7)/y*y)/y))**(-9/11)/(y**(2/17)/((y*y**2)/y))*(y**(-1/3))**(-5/16)*y**(-6)*y**(3/7) assuming y is positive.
y**(-261967/62832)
Simplify ((s**(-9/2))**(-34)/(s**(-25)*s**(2/5)))**(-6/17) assuming s is positive.
s**(-5328/85)
Simplify (((s/(s/(s/(s/(s**8*s))))*s**(-2/13)/s)**(-3/8))**(-45))**(-47) assuming s is positive.
s**(-323595/52)
Simplify ((g**(-1/2))**10*(g**1)**(-27))/(((g/(g/(g/(g**(-1/2)*g*g*g)*g)))/g*g)**(-1/23)/(g*g**(-6)*g**(-4/9)/g*g)) assuming g is positive.
g**(-15511/414)
Simplify (t*t/(t*t/t**(-4/7)*t)*t*t*t**(1/4)/t*t**(-2)*t**(-1/3)/t)/((t**(-1/2))**(9/7)*(t*t**8*t)/(t*t**(-7))) assuming t is positive.
t**(-1597/84)
Simplify (m**(9/4)/m)**13/(m*m**(2/47)*m*m**(-1/3)) assuming m is positive.
m**(8201/564)
Simplify ((i*i**(-1)*i)/i**(2/9)*(i/i**(-2/3))/((i*i*(i/i**(1/6))/i*i)/i))/(i*i**(1/3)/i*i*i*i/(i/i**(-4/7)))**(-35) assuming i is positive.
i**(1121/18)
Simplify (c**(-1/7)/c**4)/(c**(-1/2))**34*(c*c**(-11)*(c/(c**(-12)*c))/c)**(1/10) assuming c is positive.
c**(907/70)
Simplify (m/(m**(-4/9)/m)*(m*m/(m**(3/4)*m))/m*m**(-4)/m**4)/((m*m**(-1))**17)**(1/9) assuming m is positive.
m**(-227/36)
Simplify ((l**(4/17)/l*l**(-1/9))/(l**(-5))**42)**6 assuming l is positive.
l**(63992/51)
Simplify (((a/(a*a**(-3))*a**(-3/5))**42)**23)**17 assuming a is positive.
a**(197064/5)
Simplify (c**(-1/3)/c)**(-31)*c**(1/5)/c**(2/15)*c**(-6)/(c/c**8)*c*c/c**(-2)*c**5 assuming c is positive.
c**(257/5)
Simplify ((l*l*l**(7/10))/l**(-1/17))/(l**27*l/(l/(l**(19/4)*l))*l) assuming l is positive.
l**(-10537/340)
Simplify ((z**1)**(4/13)*(z/(z*z*z*z**(-3)))/z**(-1/5))/(z**(-5/2)*z/(z/z**(1/2))*(z/(z/(z*z**(-2))))**(-5/14)) assuming z is positive.
z**(2867/910)
Simplify (r*r/r**7*r**(-3/13))**(14/11)/((r/(r*(r*(r/r**(1/2))/r)/r))**(3/17)*(r*r**(2/13))/(r/(r/(r*r/(r**(-3)/r))))) assuming r is positive.
r**(-9235/4862)
Simplify ((j*j**0)/((j**(1/5)*j)/j))**10*((j*j/(j/((j*j**(-2/5))/j)))/j)**(26/3)/(j*j**(1/2)/j*j*j**(-1/3)*j) assuming j is positive.
j**(71/30)
Simplify (((i*i**4)/i*i)**(1/33)*(i**(-2/3))**(-9/8))**42 assuming i is positive.
i**(833/22)
Simplify (t*t*t/t**(-1/3))**(1/27)*t**(-5)*t*(t*t**(-1))/t*(t**1/(((t/((t/(t**(-1/4)/t*t)*t)/t))/t)/t))/(t**(-6/11)*t**(-5/2)/t) assuming t is positive.
t**(8621/3564)
Simplify (l*l/(l*l/l**(1/6)*l)*l*l**(1/12))/(l**8/l**(-3/7))*((l**(-2/9)*l)**(1/3))**(2/17) assuming l is positive.
l**(-104719/12852)
Simplify ((a**(-2/7))**(2/49))**(8/13)/((a**3*a*a*a)/a**1)**(-1/27) assuming a is positive.
a**(21431/120393)
Simplify (v*v**(1/4)*v*v*v)**(8/7)*v**(1/7)*v**(-5)*((v**2)**(-5/4))**13 assuming v is positive.
v**(-65/2)
Simplify ((z*z*z*z**2/z*z)**(-15)*z**(-2/5)*z*z**(-2/3))**39 assuming z is positive.
z**(-14638/5)
Simplify ((l**1*l)/l**(-5)*l**(-5)/(l*l/(l*l**(-2/25)*l)*l))/(l/((l/(l**5/l)*l)/l)*l**5*l**3/(l**(-2/11)*l)) assuming l is positive.
l**(-2822/275)
Simplify (s**(-48)/(s*s/(s*s*s/s**5)))/(s**(-2/17)/((s**(-3)*s*s)/s)) assuming s is positive.
s**(-916/17)
Simplify ((p/(p*p/p**1))/p**(-8))/(p**(-2/7)*p)**(-45)*(p**(-3)*p*p**8)/((p*p**(-6)*p)/(p/((p/p**(1/3)*p)/p))) assuming p is positive.
p**(1060/21)
Simplify (((q/(q/(q*q*q**(-2/11))))/(q**(-2)*q))/(q**(-8)*q**(-8)))/(((q**(2/3)*q)/q)**(-1/3)*((q**1*q)/q)**(3/44)) assuming q is positive.
q**(683/36)
Simplify (((q/q**(-1))/q)**(-2/77)/((q*q*q**8*q)/q*q**6))/(q/((q*q**(-2/21)/q*q)/q*q)*q/q**(1/9))**(10/11) assuming q is positive.
q**(-1066/63)
Simplify ((y/((y/y**(-2/19))/y))**5/((y**(-21)/y)/(y**34*y)))**(4/5) assuming y is positive.
y**(4672/95)
Simplify ((o**(-3)/(o*o**(2/7)))/(o*o*o/(o*o**(-2)/o)*o**2*o))/((o**(-2/7)/o)**(-2/9)*o**(-1)/(o*(o/(o*o**(2/5)))/o)) assuming o is positive.
o**(-419/35)
Simplify ((p**(-1/5))**48)**(-2/9)/(((p*(p*p*p*p**(-2/33)*p*p)/p)/p)/((p/p**(4/9))/p)*p/(p/p**(-3/4))*p*p*p/(p/(p*p**(-1/4)))) assuming p is positive.
p**(-2104/495)
Simplify ((q**(-9)/q)/q*q**(-4)*(q**(-2)*q)**(-24))/(q**5/q**(-1/7))**46 assum
|
{
"pile_set_name": "DM Mathematics"
}
|
e factors of a.
3, 5
Suppose -18 = -3*c - 3. Suppose -c*y = -5*t + 20, -2*y = -5*y - 3. Suppose -p + 9 = f - 0*p, 4*f = -t*p + 33. List the prime factors of f.
2, 3
Let r = 93 + -88. Suppose 2*n + 14 - 56 = 4*s, -r*s + 21 = n. List the prime factors of n.
3, 7
Let t be (-51)/(-6) + 33/22. Suppose -2*z - 6*d + 152 = -2*d, -2*d + t = 0. List the prime factors of z.
2, 3, 11
What are the prime factors of 2062/20 - 12/120?
103
Suppose 3*t = -o - 273, -3*t + o = -t + 177. Suppose -3*r = -8*r - 160. Let k = r - t. List the prime factors of k.
2, 29
Let f(i) = i**3 - 9*i**2 - 12*i + 14. Let o be f(10). List the prime factors of ((-1180)/(-30))/((-4)/o).
59
Suppose 4*a - a = -66. Let f be (a/(-8))/(6/(-24)). Let m = 14 + f. List the prime factors of m.
3
Let d = -3377 + 4771. List the prime factors of d.
2, 17, 41
Let s(o) = 13 - 4*o**3 + 7*o**2 + 2*o**3 + o**3 + 2 + 4*o. Suppose 4*f - 19 = 9. List the prime factors of s(f).
43
Let k(u) = u**2 - 2*u + 8. Let s be k(0). Let b(o) = o**3 - 8*o**2 + o - 6. Let w be b(s). Suppose -12 = -3*c, w*c = -p - c + 30. List the prime factors of p.
2, 3
Let p = -468 - -433. Suppose -3*b + 8*b - 15 = 0. Let o = b - p. What are the prime factors of o?
2, 19
Let g(s) = 2*s**2 + s - 5. Let u be g(-7). Suppose 0 = -0*c + c + 4*l - 31, -c = -4*l - 71. Let o = u - c. List the prime factors of o.
5, 7
What are the prime factors of (-894)/(-5) + 6/30?
179
Let d = 4669 - 2410. List the prime factors of d.
3, 251
Suppose -7 = -3*g + 4*l, 0*l - 2*l = 2*g. What are the prime factors of (g/2)/((-1)/(-166))?
83
Suppose 0 = 3*h + 5*n - 4265, 47*h = 43*h + 4*n + 5740. List the prime factors of h.
2, 5, 11, 13
Let r(p) = -3*p + 3*p - 2*p + 9*p**2 - 2*p - 27. Let c(k) = -4*k**2 + 2*k + 13. Let t(x) = -7*c(x) - 3*r(x). List the prime factors of t(-7).
53
Let h(f) = f**3 + 4*f**2 + 22*f - 39. List the prime factors of h(12).
3, 281
Suppose -5*f + 524 = 2*k, 2*k + 3*f = 500 + 20. What are the prime factors of k?
257
Suppose -2772 = -q - 4*k, -5*q + 2*k + 7923 + 6047 = 0. List the prime factors of q.
2, 349
Let i = -11 - -19. Suppose -2*g - i = -5*v + 2, 3*v = -3*g + 27. Suppose -5*c + g + 30 = 0. What are the prime factors of c?
7
Let d(z) = -86*z - 37. What are the prime factors of d(-7)?
5, 113
Let o(n) = -2*n**2 + 18*n - 6. Let z be o(9). List the prime factors of z*7*(-12)/18.
2, 7
What are the prime factors of 16/(-14) + 442320/420?
2, 263
Suppose 8*j + 256 = 6*j. Let k = -45 - j. What are the prime factors of k?
83
Let a be 3*21/(-18)*-2. Suppose a = 3*o - 44. List the prime factors of o.
17
Let o = 0 + -34. Let x be (-8)/(-28) + (2 - 65/7). Let l = x - o. What are the prime factors of l?
3
Let o = 86 - 79. Let f(y) = -3*y**2 + 22*y - 5. List the prime factors of f(o).
2
Let y(i) be the first derivative of -i**4/4 + 2*i**3 + 4*i**2 + 6*i - 1. List the prime factors of y(7).
13
Let t(f) = 3*f**3 - 17*f**2 + 42*f - 25. What are the prime factors of t(9)?
1163
Let t(s) = s**2 + 9*s - 5. Let y(r) = -11 - 4*r**2 + 0*r**2 + 3*r**2 + r + 0*r. Let i be y(0). What are the prime factors of t(i)?
17
Let j be 0 + 303 + (-4)/(-4). Suppose -152 = -2*f - 4*x, 4*f + x - j = -x. List the prime factors of f.
2, 19
Suppose 0*w - 3*u - 1864 = -4*w, 2*u = w - 466. List the prime factors of w.
2, 233
Suppose -2*j + 2*d + 80 = -538, 5*d = -4*j + 1209. What are the prime factors of j?
2, 3, 17
Let k(g) = 4*g**2. Let o be k(1). Suppose o*z + 14 = l, 0 = l - 3*l + 4*z + 44. Let t = l - 5. List the prime factors of t.
5
Let u(c) = c**3 + c**2 + c - 2. Let k be u(-5). Let a = 171 + k. What are the prime factors of a?
2
Let h = 932 - 610. List the prime factors of h.
2, 7, 23
Let f(b) = -707*b + 22. What are the prime factors of f(-1)?
3
Suppose 0 = -p + 4*p - 12. Suppose 0 = -3*a - 2 - p, -2*j - 5*a - 2 = 0. Suppose 4*v + 92 = j*w, 2*w - 5*v - 71 = -w. What are the prime factors of w?
2, 11
Let s be (1*3/(-9))/(5/(-45)). Suppose 0 = g - s*g + 374. List the prime factors of g.
11, 17
Let v be 8/10*(11 - 1). Suppose 4*s - 11 = -3*m, 4*s = 5*m + 11 - 40. Suppose -2*k + 2*a + v = 0, -11 = -m*a + 9. What are the prime factors of k?
2
Let g(n) = -2*n + 27. Let k be g(11). Suppose 0 = -k*b - 0*a + 3*a + 23, 4*b = -a + 15. Let d(t) = t**3 - 3*t**2 + 2*t + 1. List the prime factors of d(b).
5
Let o = -74 - -136. Let q = o - 34. What are the prime factors of -3 + (-3)/((-6)/q)?
11
Let h be 3/(-4) + (-36728)/(-32). Let p = h + -162. List the prime factors of (-4)/10 - p/(-25).
3, 13
Suppose -4 = -4*t + 2*m, -t = -0*t - 2*m + 5. Suppose -2*a + 0*a = 4*j - 34, 23 = t*a - j. Let c = a - 6. List the prime factors of c.
3
Let d = 12 - 10. Let t be 0/(d*(-3)/6). Let w(q) = q**2 + q + 11. List the prime factors of w(t).
11
Suppose -892*w + 897*w = 1125. What are the prime factors of w?
3, 5
Suppose -3*x = 0, 5*y - 5*x - 258 = 152. Let v = y - 45. List the prime factors of v.
37
Suppose -5*o = -3*m - 42, 4*o - o + 4*m - 2 = 0. Suppose -o*r = -r - 45. Let f = r - -30. List the prime factors of f.
3, 13
Let k(v) be the third derivative of v**5/30 + v**4/24 + v**3/6 - 5*v**2. Let l be k(1). Suppose l*o - 19 = 3*o. List the prime factors of o.
19
Let k(v) be the first derivative of 5*v**2/2 - 24*v - 14. What are the prime factors of k(7)?
11
Suppose 4*g = -4, -l + 2*l = -g + 107. List the prime factors of (l/(-14))/(42/(-392)).
2, 3
Suppose 2*h = 5*h - 3324. What are the prime factors of h?
2, 277
Let x(y) = y**2 + 13*y - 12. Let h be x(10). List the prime factors of 28/(-126) - h/(-9).
2, 3
Suppose -2*p + 2*d + 2 = 0, -4*p + 6 = d - 4*d. Let j be -2*(27/(-6) + p). Suppose f + 0*f - j = 0. List the prime factors of f.
3
Let b(c) = 13*c**2 - 16*c - 16. List the prime factors of b(-11).
1733
Suppose -6*b = -4*b - 6, 0 = 3*y + 5*b - 15. Suppose -5*i + 3*h - 16 = y, -2*h + 4*h + 21 = -3*i. What are the prime factors of (-42)/i*(-5)/(-2)?
3, 7
Let g = -2087 + 3223. What are the prime factors of g?
2, 71
Let a be (4/3)/(6/9). Suppose -a*v + 4 + 0 = 0. List the prime factors of v + (2 - -50)/4.
3, 5
Let g be 45/6*(-16)/(-12). Suppose -g = -3*c + 26. Let a = 18 - c. List the prime factors of a.
2, 3
Let n = 1191 + -72. List the prime factors of n.
3, 373
Let p = -44 - -48. Suppose s + 2*s = -6, p*z - 4*s = 664. What are the prime factors of z?
2, 41
Let v(r) = r**2 + 2*r + 5. Let a be v(0). Suppose -a*w + 5*u = -1035, 443 = -3*w - 4*u + 1057. What are the prime factors of w?
2, 103
Let d be (-8)/(-3) + (-2)/3. Suppose -d*v + 4*v = 0. Suppose v*i = 5*i - 60. List the prime factors of i.
2, 3
Let h be ((-6)/10)/(4/(-20)). Suppose 0 = -19*s + 26*s - 1015. Suppose -2*u - h*u = -4*a - 100, -5*u - 5*a = -s. List the prime factors of u.
2, 3
Let a be 22/55 + 24/(-10). Let u(g) = -2*g**2 + 3*g**2 - 3*g + 0*g**2 - 3. What are the prime factors of u(a)?
7
Suppose -6*x + 801 = -267. Let b = -6 + 10. Suppose 4*g - 150 = -b*k + g, 0 = -5*k + g + x. List the prime factors of k.
2, 3
Let x = 42 - 61. Let y = 22 + x. Suppose -2*s - y*g + 11 + 20 = 0, g + 55 = 4*s. What are the prime factors of s?
2, 7
Let n = -139 - -144. Let b(k) = 10*k**2 + 8*k - 35. List the prime factors of b(n).
3, 5, 17
Suppose 23*f = 21*f + 1948. List the prime factors of f.
2, 487
Let p = -122 + 127. Suppose -3*l = 2*t + 177, 2*l - 3*l + 4*t - 45 = 0. Let c = p - l. What are the prime factors of c?
2, 31
Suppose 0 = 4*r - 46 - 454. What are the prime factors of (4/12)/(2/6) + r?
2, 3, 7
Let i(m) = 12*m - 5. Let a(z) = -2*z**3 + 11*z**2 - 2*z - 4. Let l be a(5). List the prime factors of i(l).
127
Suppose -k = -k - 2*k. Suppose -j + 2*j - 109 = k. What are the prime factors of j?
109
Let m(i) = 249*i + 50. List the prime factors of m(2).
2, 137
Let k be (-2)/13 - (8330/(-65) + 2). Suppose -t = -4*a - 22, -4*a + 0*a = -5*t + k. List the prime factors of t.
2, 13
Suppose 2*z + 12 = 4*o, 0*o + 8 = -2*z + 3*o. Suppose -z*h = -2*g + 14, 3*h + 5 = 4*h + 3*g. Let s = h + 11. List the prime factors of s.
7
Let q be 7/21 + ((-564)/(-9))/4. Let r(f) = -f**3 + 18*f**2 - 23*f + 12. List the prime factors of r(q).
2, 3, 13
Let p = 22 + -26. Let j(q) = -2*q - 3. Let z be j(p). Suppose -5 = -z*s + 6*b - 2*b, -20 = -3*s - b. What are the prime factors of s?
5
Let x(g) = 8*g + 8 + 2*g + 0*g. List the prime factors of x(8).
2, 11
Suppose 5*r -
|
{
"pile_set_name": "DM Mathematics"
}
|
r j*d - 4/7 + 4/7*d**2 - o*d**3.
-2*(d - 2)*(d - 1)*(d + 1)/7
Factor 3*c**4 + 73*c - 35*c - 38*c.
3*c**4
Let x(h) = h**3 - 1. Let p(g) = -8*g**3 + 9*g**2 + 12*g - 3. Let j(z) = p(z) + x(z). Factor j(k).
-(k - 2)*(k + 1)*(7*k - 2)
Let i = -11/19 + -205/171. Let f = i - -28/9. Suppose -1/3*x**3 + f - x**2 + 0*x = 0. What is x?
-2, 1
Let i(w) be the second derivative of w**5/80 + w**4/32 + w**2 + w. Let s(y) be the first derivative of i(y). Solve s(l) = 0.
-1, 0
Suppose -1 = -u - 0*u + 5*h, -3*h + 15 = 0. Let d be 4/u - 192/(-104). Factor -1/4 - 1/2*s - 1/4*s**d.
-(s + 1)**2/4
Let s(q) be the second derivative of 3/14*q**7 + 0*q**2 + q**4 - 2*q + 0 - 2/3*q**3 - 1/4*q**5 - 2/5*q**6. Factor s(t).
t*(t - 1)*(t + 1)*(3*t - 2)**2
Let u(t) = -2*t**2 - 34*t - 29. Let x be u(-16). Let v(i) be the first derivative of 1 + 6/5*i**2 - 2/5*i**x - 8/5*i + 1/20*i**4. Suppose v(j) = 0. What is j?
2
Let v = 4 - 2. Let f(b) be the first derivative of -1/4*b**4 - 2/3*b**3 + 0*b + 3 - 1/2*b**v. Factor f(x).
-x*(x + 1)**2
Suppose y - 3 = -1. Let o(n) = n**2 + 4*n. Let d be o(-4). Suppose d*b - 2*b**y + 4*b - 2*b = 0. What is b?
0, 1
Suppose -2 = -5*x + 8. Let y(q) be the first derivative of 1/6*q**3 - 3/20*q**5 - 2 + 1/24*q**6 + 1/4*q - 3/8*q**x + 1/8*q**4. Find u, given that y(u) = 0.
-1, 1
Let z(y) be the second derivative of y**4/12 + 20*y**3/3 + 200*y**2 - 34*y. Suppose z(q) = 0. What is q?
-20
Let k = 35 - 33. Let -4/3*i**k + 0 - 1/3*i**4 + 0*i - 4/3*i**3 = 0. Calculate i.
-2, 0
Let j(i) = 39*i**2 + 246*i - 312. Let f(h) = -3*h**2 - 19*h + 24. Let v(l) = -27*f(l) - 2*j(l). Factor v(y).
3*(y - 1)*(y + 8)
Let j(w) = -4*w**2 + 2*w - 4. Let u(h) = 3*h**2 - h + 3. Let p(b) = 2*j(b) + 3*u(b). Let o be p(-2). Factor -3*a**o + 2 + 4*a**3 - a - 1 - a**2.
(a - 1)**2*(a + 1)
Let d(i) = -8*i**4 + 9*i**3 - i**2 - 9*i + 5. Let g = 2 + 2. Let m(u) = 23*u**4 - 26*u**3 + 2*u**2 + 26*u - 14. Let p(r) = g*m(r) + 11*d(r). Factor p(l).
(l - 1)**2*(l + 1)*(4*l - 1)
Let k(w) be the third derivative of -1/12*w**4 - 1/60*w**5 - 2*w**2 + 0 - 1/6*w**3 + 0*w. Factor k(b).
-(b + 1)**2
Let f(m) be the first derivative of 0*m - 8 - 8/5*m**5 + 0*m**3 - 2*m**2 + 3*m**4. Let f(g) = 0. Calculate g.
-1/2, 0, 1
Let u be (8/10)/((-6)/(-15)). Let c(m) be the first derivative of 0*m + 0*m**u + 3 - 2/15*m**3. Factor c(i).
-2*i**2/5
Let g = 16 - 12. Suppose 0 = -g*k + k + 6. Suppose 4/3*j**4 + 0*j**3 - 4/3*j**k + 0 - 2/3*j + 2/3*j**5 = 0. Calculate j.
-1, 0, 1
Let n(p) be the first derivative of p**6/2 - 3*p**5/5 - 3*p**4/4 + p**3 - 34. Factor n(d).
3*d**2*(d - 1)**2*(d + 1)
Let g(o) be the first derivative of -o**5/5 - o**4/2 + o**2 + o - 17. Factor g(n).
-(n - 1)*(n + 1)**3
Factor -1/5*r + 0*r**3 + 2/5*r**4 + 1/5*r**5 + 0 - 2/5*r**2.
r*(r - 1)*(r + 1)**3/5
Suppose -5*o + 0*o + 5 = 0. Let g be 5/(o - (2 - 2)). Suppose 0 - 2*c**2 + 2*c**4 - 39/2*c**3 + 2*c + 35/2*c**g = 0. What is c?
-1, -2/5, 0, 2/7, 1
Let i(c) be the second derivative of -c**9/75600 + c**8/16800 - c**7/12600 + c**4/3 - 4*c. Let v(q) be the third derivative of i(q). Factor v(j).
-j**2*(j - 1)**2/5
Let f be 1/((-34)/(-12) + -3). Let x be -3 + (-1)/(-1) - f. What is a in -1/5*a**5 + 2/5*a**2 + 3/5*a - 2/5*a**3 + 1/5 - 3/5*a**x = 0?
-1, 1
Suppose 0*d + 6 = 3*d. Factor s**3 - 2*s**d - 4*s + s + 0*s + 0*s**3.
s*(s - 3)*(s + 1)
Let t(l) = -l**2 - 6*l + 1. Let u be t(-5). Let k be 21/14*20/u. Determine n so that 0*n**5 - n**k + 4*n**5 + 6*n**4 = 0.
-2, 0
Let y(i) be the third derivative of 0 - 1/140*i**7 + 5*i**2 - 3/16*i**4 - 1/6*i**3 - 1/8*i**5 + 0*i - 11/240*i**6. Factor y(u).
-(u + 1)**3*(3*u + 2)/2
Find o, given that -19 - 2*o**2 + 19 - o**3 = 0.
-2, 0
Suppose -x + 5 = 3. Let 3/2*m - 1 - 1/2*m**x = 0. What is m?
1, 2
Let i be 1 + -2 + 5/1. Suppose 0 = i*f - 8. Factor -2/7*u**f - 4/7 + 6/7*u.
-2*(u - 2)*(u - 1)/7
Let b(a) = 3*a**2 - 3*a + 4. Let c(v) = 2*v**2 - 2*v + 4. Let u = 0 + -5. Let w(p) = u*c(p) + 4*b(p). Solve w(h) = 0 for h.
-1, 2
Let r be 57/(-190)*(-25)/108. Let d = 541/504 + r. Factor -2/7*h**2 - d*h - 8/7.
-2*(h + 2)**2/7
Let t(l) be the third derivative of l**8/504 + 8*l**7/315 + 7*l**6/60 + l**5/5 - l**2 - 3*l. What is i in t(i) = 0?
-3, -2, 0
Let z(m) be the third derivative of m**7/210 - m**6/120 - m**5/60 + m**4/24 - 3*m**2 - 5. Determine w, given that z(w) = 0.
-1, 0, 1
Let k(t) = -t**5 - t**4 + t**3 + t**2 + t. Let y(r) = -14*r**5 - 9*r**4 + 34*r**3 + 39*r**2 + 14*r. Let s(n) = -4*k(n) + y(n). Solve s(b) = 0 for b.
-1, -1/2, 0, 2
Let a(f) be the second derivative of 0 - 2/3*f**3 + 5/9*f**4 + 3*f - 4/3*f**2. Factor a(k).
4*(k - 1)*(5*k + 2)/3
Determine j so that 0 + 4/7*j**4 + 0*j + 16/7*j**2 + 16/7*j**3 = 0.
-2, 0
Let k(j) be the first derivative of j**6/42 + 2*j**5/35 - j**4/14 - 4*j**3/21 + j**2/14 + 2*j/7 - 6. Solve k(g) = 0 for g.
-2, -1, 1
Let r be (-1 - -1) + (-15 + 8)/(-14). Let -3/4*z**3 - r*z**2 + 0 - 1/4*z**4 + 0*z = 0. Calculate z.
-2, -1, 0
Let q(s) be the first derivative of s**6/2 + 3*s**5/5 - 15*s**4/4 + 3*s**3 - 23. Determine d, given that q(d) = 0.
-3, 0, 1
Let v(n) be the second derivative of 0 + 7/18*n**4 + 1/9*n**3 + 25/252*n**7 + 0*n**2 + 23/40*n**5 + 7/18*n**6 - 5*n. Factor v(o).
o*(o + 1)**2*(5*o + 2)**2/6
Let x(l) be the second derivative of -l**6/40 + l**5/5 - l**4/2 + 7*l**2/2 - 4*l. Let m(a) be the first derivative of x(a). Solve m(u) = 0.
0, 2
Let h(m) = -8*m**2 - 2*m. Let g(w) = -95*w**2 - 25*w. Let d(l) = 3*g(l) - 35*h(l). Factor d(x).
-5*x*(x + 1)
Let c(u) be the third derivative of 0 + u**2 + 0*u**5 + 0*u + 2/9*u**3 + 1/12*u**4 - 1/180*u**6. Factor c(j).
-2*(j - 2)*(j + 1)**2/3
Factor 1/10*y**2 + 0*y - 2/5.
(y - 2)*(y + 2)/10
Let y(k) be the first derivative of 0*k**3 + 4*k**2 + 1 - k + 1/10*k**5 - 1/2*k**4. Let u(v) be the first derivative of y(v). Factor u(w).
2*(w - 2)**2*(w + 1)
Let v(x) = 4*x**3 + 10*x**2 - 24*x + 8. Let f(i) = i**3 - i**2. Let p(o) = 8*f(o) - v(o). Find t, given that p(t) = 0.
1/2, 2
Let c(o) be the third derivative of -o**8/210 - 2*o**7/75 - 19*o**6/300 - o**5/12 - o**4/15 - o**3/30 - 8*o**2. Factor c(z).
-(z + 1)**2*(2*z + 1)**3/5
Let m(l) be the second derivative of l**7/273 - 2*l**6/195 - 3*l**5/130 + 13*l. Factor m(p).
2*p**3*(p - 3)*(p + 1)/13
Let o(x) be the first derivative of -2*x**2 - 5 + 0*x - 1/2*x**4 - 2*x**3. Factor o(u).
-2*u*(u + 1)*(u + 2)
Let n(f) be the first derivative of 80*f**3/3 + 6*f**2 - 8*f - 13. Factor n(u).
4*(4*u - 1)*(5*u + 2)
Let i(f) be the second derivative of f**4/66 - 4*f**3/33 + 4*f**2/11 - 40*f. Factor i(b).
2*(b - 2)**2/11
Let d(a) be the first derivative of a**4/5 - 17*a**3/15 + 2*a**2/5 + 14. Factor d(v).
v*(v - 4)*(4*v - 1)/5
Let l be 1/(-3) + (-80)/(-24). Let c be 1*(0 + 2 + 2). Factor -4/5*s + 4/5*s**l + 0*s**2 - 2/5*s**c + 2/5.
-2*(s - 1)**3*(s + 1)/5
Let j(d) be the first derivative of -2 + 1/2*d**2 - 1/8*d**4 + 1/40*d**6 + 1/20*d**5 - 1/2*d**3 + 0*d. Let x(s) be the second derivative of j(s). Factor x(l).
3*(l - 1)*(l + 1)**2
Factor -14*r**4 - 6*r**3 - 28*r**2 + 4 - 2*r - 32*r**3 - 2*r**2.
-2*(r + 1)**3*(7*r - 2)
Let r(w) = w**2 - 3*w + 2. Let h(k) = k - 1. Suppose 5*y = -1 - 4. Let o(s) = y*r(s) - 3*h(s). What is c in o(c) = 0?
-1, 1
Let j(c) be the first derivative of c**7/525 - c**5/50 + c**4/30 + 2*c**2 - 4. Let d(b) be the second derivative of j(b). Factor d(y).
2*y*(y - 1)**2*(y + 2)/5
Let x(r) = -r**2 - 4*r + 7. Let f be x(-5). Suppose 3*t + f - 8 = 0. Factor 2*m**4 - 1/2 - 5/2*m**3 + 5/2*m - 3/2*m**t.
(m - 1)**2*(m + 1)*(4*m - 1)/2
Let b(i) = -2*i + 6. Let k be b(-10). Let m = k + -76/3. Factor -8/3*l - m*l**3 + 0 - 8/3*l**2.
-2*l*(l + 2)**2/3
Let u(v) be the second derivative of -v**4/18 + 10*v**3/9 - 3*v + 12. Find j such that u(j) = 0.
0, 10
Suppose 10*v**3 - v**3 - 10*v**2 - 4*v**3 = 0. Calculate v.
0, 2
Let m = 4 - 2. Factor 2*z**3 + 0*z - 2*z**2 + 0*z - 2*z**4 + m*z**3.
-2*z**2*(z - 1)**2
Let u(h) be the second derivative of h**4/60 - h**3/15 + h**2/10 - 2*h. Suppose u(b) = 0. Calculate b.
1
Let k(q) be the first derivative of 2/5*q + 2/5*q**2 + 2 - 1/5*q**4 + 0*q**3 - 2/25*q**5. Factor k(x).
-2*(x - 1)*(x + 1)**3/5
Factor -4*l + 12*l + 5*l**2 - 2*l + 9*l.
5*l*(l + 3)
Factor -7/4*s + 7/2*s**2 - 5/2 + 3/4*s**3.
(s - 1)*(s + 5)*(3*s + 2)/4
Suppose 3*s - k - 8 = 0, 4*s - k + 5*k = 32. Let m be (-52)/(-1
|
{
"pile_set_name": "DM Mathematics"
}
|
100000.
88100000
Round -0.0534804 to three dps.
-0.053
What is -42749290 rounded to the nearest 1000000?
-43000000
Round -48720.7 to the nearest one thousand.
-49000
Round -1009.3298 to the nearest ten.
-1010
Round -99013040 to the nearest one million.
-99000000
Round 588720 to the nearest one thousand.
589000
What is 140.496 rounded to the nearest one hundred?
100
Round -44622650 to the nearest 100000.
-44600000
What is 0.293565 rounded to 2 decimal places?
0.29
What is 1.38963 rounded to one dp?
1.4
What is -9.5723658 rounded to the nearest integer?
-10
Round -0.000024324594 to six decimal places.
-0.000024
Round 0.000000137006 to seven decimal places.
0.0000001
What is 3.0204866 rounded to two dps?
3.02
Round 12396.438 to the nearest 10.
12400
What is -0.3249114 rounded to three dps?
-0.325
What is -150949.8 rounded to the nearest one thousand?
-151000
What is 33.3354 rounded to the nearest 10?
30
Round 6.9123212 to one decimal place.
6.9
Round -0.00038089473 to four dps.
-0.0004
What is -2024.21 rounded to the nearest 10?
-2020
What is -2180299000 rounded to the nearest 1000000?
-2180000000
Round 0.001771858 to 6 dps.
0.001772
What is -1819440 rounded to the nearest 10000?
-1820000
Round 0.003866197 to five decimal places.
0.00387
What is 0.0000889521 rounded to five dps?
0.00009
Round 0.49774475 to three dps.
0.498
What is -0.003477407 rounded to 4 dps?
-0.0035
Round 259.5642 to the nearest 10.
260
What is -52976300 rounded to the nearest 100000?
-53000000
Round -0.4344994 to 4 decimal places.
-0.4345
Round -14827.05 to the nearest one thousand.
-15000
What is -0.101209 rounded to three dps?
-0.101
Round 116.5738 to zero decimal places.
117
Round 9.00468 to the nearest integer.
9
Round -0.003222508 to 6 decimal places.
-0.003223
What is 0.01034418 rounded to 5 dps?
0.01034
What is -209276.7 rounded to the nearest 1000?
-209000
What is 0.0002741612 rounded to 6 decimal places?
0.000274
What is 0.000075632687 rounded to six dps?
0.000076
What is -3828470 rounded to the nearest 1000000?
-4000000
Round -28.37783 to 1 dp.
-28.4
Round 0.0000010736577 to 7 decimal places.
0.0000011
What is -0.000085139 rounded to six decimal places?
-0.000085
Round 12526.73 to the nearest 10.
12530
What is -0.00017857 rounded to six decimal places?
-0.000179
What is 112.3134 rounded to 1 dp?
112.3
Round 10241240 to the nearest one hundred thousand.
10200000
What is -97425900 rounded to the nearest one hundred thousand?
-97400000
What is -0.04899939 rounded to five dps?
-0.049
Round -726029000 to the nearest 1000000.
-726000000
What is -61707.068 rounded to the nearest 100?
-61700
Round -21.87501 to 1 dp.
-21.9
What is -0.156015 rounded to one dp?
-0.2
What is -5.52482 rounded to the nearest integer?
-6
What is -503726 rounded to the nearest 10000?
-500000
What is 7525.753 rounded to the nearest 1000?
8000
What is -24933.64 rounded to the nearest 10000?
-20000
Round 4670570 to the nearest one million.
5000000
What is 0.10441743 rounded to 2 decimal places?
0.1
Round -0.00296249 to four decimal places.
-0.003
What is 0.373324 rounded to 2 dps?
0.37
What is -0.033153031 rounded to 3 dps?
-0.033
What is -0.00022693704 rounded to 7 decimal places?
-0.0002269
Round 3.766651 to 3 decimal places.
3.767
Round -450829900 to the nearest 100000.
-450800000
What is 0.07092477 rounded to 3 dps?
0.071
Round 0.0962872 to 3 dps.
0.096
What is -4047.71 rounded to the nearest 100?
-4000
Round -0.003964581 to five dps.
-0.00396
Round -0.01565805 to four dps.
-0.0157
Round -0.00000204589 to 7 decimal places.
-0.000002
What is 3761.838 rounded to the nearest ten?
3760
Round -38746.72 to the nearest one thousand.
-39000
What is 2323.33 rounded to the nearest ten?
2320
What is 0.00000224076 rounded to 7 decimal places?
0.0000022
What is 0.1730532 rounded to 3 dps?
0.173
Round 0.017379141 to 4 decimal places.
0.0174
Round -42.84804 to the nearest ten.
-40
Round -4249881 to the nearest 1000000.
-4000000
Round 0.0019444687 to 4 decimal places.
0.0019
Round -2808.602 to the nearest 100.
-2800
What is 12477837 rounded to the nearest 1000000?
12000000
Round 2.390705 to 2 dps.
2.39
Round -595.9902 to the nearest 10.
-600
What is -0.3358616 rounded to four decimal places?
-0.3359
What is -0.0233101 rounded to 3 decimal places?
-0.023
What is 0.000063641 rounded to 5 dps?
0.00006
What is 4.825325 rounded to 1 decimal place?
4.8
Round -927998.2 to the nearest 10000.
-930000
What is 2.636451 rounded to 2 decimal places?
2.64
Round 144.12336 to 0 decimal places.
144
What is 1780.32 rounded to the nearest one hundred?
1800
Round -0.001020964 to five dps.
-0.00102
Round 39595.58 to the nearest ten.
39600
What is 0.3101123 rounded to 2 dps?
0.31
Round -45728180 to the nearest ten thousand.
-45730000
Round -8672.13 to the nearest ten.
-8670
Round -4907.24 to the nearest 1000.
-5000
Round 0.0001055123 to 5 decimal places.
0.00011
Round 433.5735 to the nearest integer.
434
Round -0.0000109083 to 5 dps.
-0.00001
Round -5.328991 to the nearest integer.
-5
What is -17.07423 rounded to one dp?
-17.1
What is -0.01225726 rounded to 5 decimal places?
-0.01226
Round 2.615998 to two decimal places.
2.62
What is 6.0808812 rounded to one decimal place?
6.1
What is -1059197.3 rounded to the nearest ten thousand?
-1060000
Round 0.0002265155 to 4 dps.
0.0002
Round 0.0000030802 to six dps.
0.000003
What is -0.00000548061 rounded to 7 decimal places?
-0.0000055
What is 11.18666 rounded to the nearest integer?
11
Round -17299.5 to the nearest 100.
-17300
Round -845822 to the nearest ten thousand.
-850000
Round -2700.349 to the nearest one thousand.
-3000
Round 314900370 to the nearest one million.
315000000
What is 79431.8 rounded to the nearest one thousand?
79000
Round 3.149643 to 3 decimal places.
3.15
Round 64235.5 to the nearest one hundred.
64200
What is 34.57678 rounded to one dp?
34.6
What is 5769298 rounded to the nearest ten thousand?
5770000
What is 0.00056846 rounded to 3 decimal places?
0.001
What is 0.00001357626 rounded to 7 decimal places?
0.0000136
What is -324778.8 rounded to the nearest 1000?
-325000
Round 0.1333289 to three decimal places.
0.133
What is 95446.8 rounded to the nearest 1000?
95000
Round -285642800 to the nearest one hundred thousand.
-285600000
Round 279583200 to the nearest one hundred thousand.
279600000
Round 0.00004424251 to seven decimal places.
0.0000442
What is 147776.25 rounded to the nearest one hundred?
147800
What is -5.022448 rounded to 0 decimal places?
-5
Round 11388200 to the nearest one million.
11000000
What is 8436.933 rounded to the nearest 1000?
8000
Round 0.22181946 to three decimal places.
0.222
What is -0.000003865607 rounded to 6 decimal places?
-0.000004
Round 0.00024827575 to 5 dps.
0.00025
What is -5446700 rounded to the nearest one hundred thousand?
-5400000
Round 17.227915 to 1 decimal place.
17.2
Round 1247.7745 to the nearest one hundred.
1200
Round 934.8706 to the nearest ten.
930
What is -581333.28 rounded to the nearest 10000?
-580000
Round 0.000000490403 to seven decimal places.
0.0000005
Round -0.000002462282 to 6 dps.
-0.000002
Round 0.3049932 to four decimal places.
0.305
Round -0.0065728 to 4 decimal places.
-0.0066
Round 2529910 to the nearest ten thousand.
2530000
Round -3198.126 to the nearest integer.
-3198
Round 0.000000416269 to 7 decimal places.
0.0000004
Round -3945230 to the nearest one hundred thousand.
-3900000
Round -171278.81 to the nearest 10000.
-170000
Round -804816.6 to the nearest 100000.
-800000
What is 0.0008503275 rounded to 5 decimal places?
0.00085
What is 4.5062 rounded to 2 decimal places?
4.51
Round -0.0001641559 to 4 dps.
-0.0002
Round -0.00008326043 to 7 decimal places.
-0.0000833
What is -51.9496 rounded to 1 dp?
-51.9
Round 20.0477 to 2 decimal places.
20.05
Round 159945.36 to the nearest 1000.
160000
Round 515.2789 to the nearest ten.
520
What is -24.2303 rounded to the nearest integer?
-24
What is -2231.108 rounded to the nearest 100?
-2200
What is 2.90497 rounded to one decimal place?
2.9
Round -0.002001905 to 4 decimal places.
-0.002
What is 0.0005152825 rounded to five dps?
0.00052
Round -0.937006 to three dps.
-0.937
What is -34743.74 rounded to the nearest one thousand?
-35000
What is -0.000012958457 roun
|
{
"pile_set_name": "DM Mathematics"
}
|
15*u**2. Determine n(c(h)).
19836930*h**2
Let o(i) = -2*i**2. Let r(h) = 2*h**2 - 8*h + 2. Let f be r(4). Let w be (-5 + (-60)/(-9))*(1 + f). Let k(v) = -w*v**2 - 543 + 543. Give o(k(g)).
-50*g**4
Let s(b) = 167*b - 2. Let n(a) = -5*a. Let q(j) = -6*j. Let m(g) = 7*n(g) - 6*q(g). What is s(m(t))?
167*t - 2
Let q(c) = -32*c - 60726. Let z(n) = -2*n**2. Give q(z(r)).
64*r**2 - 60726
Let q(u) = 7*u**2. Let p(k) be the second derivative of k**7/252 + k**4/6 + 31*k**3/6 - 48*k. Let w(y) be the third derivative of p(y). What is q(w(o))?
700*o**4
Let h(w) = -4*w**2 + 8*w. Let y(d) = d. Let m = 77 - 85. Let o(b) = m*y(b) + h(b). Let n(c) = 3*c + 3 - 3. Calculate n(o(g)).
-12*g**2
Let f(s) = 5*s**2 - 2*s. Let j(a) = -14*a**2 - 15*a - 12. Let i(m) = 13*m**2 + 10*m + 8. Let r(p) = -3*i(p) - 2*j(p). Determine f(r(g)).
605*g**4 + 22*g**2
Let z(c) = -1386*c**2 - 54. Let i be (10/8)/((-43)/172). Let m(u) = 126*u**2 + 5. Let x(f) = i*z(f) - 54*m(f). Let p(r) = 3*r. What is p(x(d))?
378*d**2
Let o = 34 - 43. Let k(d) = 2*d - 9. Let z(n) = -n + 4. Let x(f) = o*z(f) - 4*k(f). Let i(p) = -110*p**2. Give i(x(m)).
-110*m**2
Let z(m) = -5*m**2 - 3997*m. Let x(d) = -256*d + 2. Determine x(z(v)).
1280*v**2 + 1023232*v + 2
Let u(v) = -3*v. Let s be 11 + (-3 - 5/(-1)). Let n(b) = 4*b + 2*b + 2*b - s*b. Give u(n(l)).
15*l
Let f(u) = -2*u. Let s(o) be the first derivative of 0*o**2 - 117 - 8/3*o**3 + 2*o. Give f(s(g)).
16*g**2 - 4
Let c(t) = -3*t**2. Suppose -8*y + 10*y - 2*v - 2374 = 0, -y + 5*v + 1175 = 0. Let j(w) = -1190*w - w**2 + y*w + 4*w**2. Determine j(c(g)).
27*g**4
Let n(h) = 8*h. Let x(d) = 2799042*d. Calculate n(x(s)).
22392336*s
Let p = -10 + 17. Suppose 2*y = 4*n - p - 103, -4*y = 2*n - 80. Let b(z) = -32*z + z**2 + 62*z - n*z. Let s(l) = -3*l. What is b(s(r))?
9*r**2
Let k(x) be the third derivative of x**4/8 - x**3/6 - 697*x**2. Let o(n) = -9*n. Give k(o(z)).
-27*z - 1
Let h(z) = -6*z. Let i(o) = 2*o**2 - 5*o - 34. Let a be i(7). Let g(n) = -26*n + 87*n - a*n - 30*n. What is g(h(m))?
-12*m
Let u(w) = -w - 1 + 1. Let b be (18822 - (-6)/2)/((-1)/(-2)). Let p(r) = 7*r + b - 37650. Give p(u(l)).
-7*l
Let x(v) = -139*v. Let l(i) = -491844*i**2. What is l(x(j))?
-9502917924*j**2
Let b(p) = 3*p**2 - 5038363. Let c(n) = -3*n. Determine b(c(s)).
27*s**2 - 5038363
Let p(n) = 2*n - 1. Suppose -6 = -5*r + 3*r. Suppose -4*z = -r*q + z + 29, -32 = -4*q + 5*z. Let b(d) = d + q*d - 3*d. What is b(p(k))?
2*k - 1
Let o(l) = -35*l. Let j(v) = 8259363*v. What is o(j(q))?
-289077705*q
Let l(x) = -x**2 - 829*x - 2. Let z(o) = 498*o. Calculate z(l(p)).
-498*p**2 - 412842*p - 996
Let m(t) = 5*t. Let q = 3 - -3. Let f(s) = s**2 - 6*s. Let h = -3583 - -3588. Let i(a) = h*f(a) + q*m(a). Let o(j) = 8*j**2. What is o(i(w))?
200*w**4
Let k = -1562 - -2244. Let b(n) = -n**2 + k*n - 682*n + 2*n**2. Let l(t) = 34*t. Calculate l(b(w)).
34*w**2
Let a(f) be the third derivative of -f**5/60 + 3*f**2. Let m(q) = 8798*q + q**2 - 17617*q + 8806*q. Calculate m(a(i)).
i**4 + 13*i**2
Let t(j) = -3133*j - 1. Let w(m) = -111*m. Calculate t(w(v)).
347763*v - 1
Let s(g) = 1 + 1080181*g - 1080187*g - 1. Let b(p) = -94*p - 7. Determine b(s(x)).
564*x - 7
Let t(x) = -33*x**2 + 3. Let f(o) be the third derivative of -o**4/6 + 2*o**2 - 166*o. What is t(f(g))?
-528*g**2 + 3
Let n(j) = j. Let o(g) = -375920*g**2 + g + 19. What is n(o(w))?
-375920*w**2 + w + 19
Let x(h) = 47*h + 23*h - 71*h. Let n(s) = 1002*s. Determine n(x(b)).
-1002*b
Let u(j) be the second derivative of -2*j**3/3 + 4*j. Let b(m) = 23*m**2. Let r(f) = -1520*f**2. Let l(c) = -266*b(c) - 4*r(c). Calculate u(l(h)).
152*h**2
Let k(z) = z**2 - z - 10. Let w(c) = 18*c**2 - 11*c - 92. Let s(i) = 11*k(i) - w(i). Let q(h) = 3*h**2. Give s(q(j)).
-63*j**4 - 18
Let u(n) = 2*n**2 - 329083 + 329083. Let t(w) = -w - 34. Determine u(t(j)).
2*j**2 + 136*j + 2312
Let n(d) = -9*d. Let j(c) = -3*c**2 - 12*c - 2. Let z(s) = 8*s**2 + 38*s + 7. Let q(v) = -7*j(v) - 2*z(v). Calculate n(q(b)).
-45*b**2 - 72*b
Let v(p) = -1212*p**2 - 7*p - 95. Let u(y) = -606*y**2 - 3*y - 38. Let m(n) = 5*u(n) - 2*v(n). Let b(i) = -i. Calculate m(b(c)).
-606*c**2 + c
Let k(a) = a**3 + 4*a**2 - 2*a - 6. Let l be k(-3). Let h = -7 + l. Let r(y) = -4191*y - y**h + 4191*y. Let n(u) = -22*u. Give n(r(m)).
22*m**2
Let x = 67 - 65. Let q(b) = 2*b**x - 328 + 328. Let m(p) = 0*p - 3*p + 6*p. Give q(m(w)).
18*w**2
Let l(m) = -272*m - 850. Let y(b) = -13*b - 40. Let w(v) = 4*l(v) - 85*y(v). Let x(k) = -153*k**2. What is w(x(p))?
-2601*p**2
Let l(p) = -155*p**2. Let w(a) = 23520*a. Determine l(w(m)).
-85744512000*m**2
Let o(u) = -9*u**2. Let y(x) be the second derivative of 17*x**4/24 - 53*x**2/2 + 111*x. Let b(w) be the first derivative of y(w). Calculate o(b(z)).
-2601*z**2
Let u(b) = -116*b. Let n(a) = 4085*a**2 - 2*a - 3. What is u(n(y))?
-473860*y**2 + 232*y + 348
Let p(c) be the second derivative of -8*c**3/3 + 3*c**2/2 - 14202*c. Let o(b) = b. Determine p(o(a)).
-16*a + 3
Let p(a) be the third derivative of 142*a**2 + 1/30*a**5 + 0*a**4 + 0*a**3 + 0*a + 0. Let m(n) = 37*n + 1 - 1. Calculate p(m(d)).
2738*d**2
Let g(k) = 2*k. Suppose -5*w + 2*z + 80 - 36 = 0, -50 = -5*w + 5*z. Let x(u) = -70*u + 2. Let f(b) = -26*b + 1. Let c(q) = w*f(q) - 3*x(q). Determine g(c(v)).
4*v + 4
Let z(h) = 2*h. Let x(r) = -4469790*r**2. Determine x(z(k)).
-17879160*k**2
Let x(m) = -25835*m. Let r(q) = -196*q**2. What is x(r(t))?
5063660*t**2
Let g(p) = -3*p**2 + 10*p. Let k(f) = -96351*f. Give k(g(n)).
289053*n**2 - 963510*n
Let b(j) be the third derivative of -4859*j**4/12 + 2*j**2 - 4*j + 794. Let r(v) = v**2. Give r(b(w)).
94439524*w**2
Let d(h) = -7*h + 4*h + 2*h + 7. Let a(p) be the first derivative of p**2 + 1633. Give a(d(f)).
-2*f + 14
Let b(w) = -11*w - 3. Let n = -140 - -144. Let t(i) = 14*i + 4. Let g(q) = n*b(q) + 3*t(q). Let z(y) = -72*y**2 + y. Calculate g(z(j)).
144*j**2 - 2*j
Let y(l) = -15*l. Suppose 0 = 5*t + 4*p - 156, 2*t - 6*t = -5*p - 92. Suppose t*m + 273 = 31*m. Let b(v) = 91 + v - m. Determine y(b(j)).
-15*j
Let j(c) = 3*c. Suppose 0 = 2*h - 5*f - 9, -5*h + 8 + 0 = 2*f. Let s(k) = -217*k + 428*k + 35*k**h - 211*k. Calculate s(j(v)).
315*v**2
Let m(v) = -2*v. Let o(r) = -1522*r - 1414*r + 323*r. Give m(o(y)).
5226*y
Let t(q) = -q**2 - 13*q - 7. Let g be t(-11). Let j(s) = 5*s - 5*s - g*s + 4*s. Let p(w) = 2*w. Calculate p(j(n)).
-22*n
Let v(j) = 375572*j. Let b(o) = -5*o**2. Calculate v(b(m)).
-1877860*m**2
Let u(n) = -26*n**2. Let h(s) = 37*s + 12. Let x(w) = -13*w - 3. Let b(z) = 3*h(z) + 12*x(z). What is b(u(r))?
1170*r**2
Let n(f) = 2*f**2. Let t(j) = -12*j - 9*j + 350 + 38*j - 15*j. What is t(n(a))?
4*a**2 + 350
Let r(t) = -18*t. Let u(x) = -13*x + 76. Let c(i) = -18*i + 112. Let s(q) = 5*c(q) - 7*u(q). Calculate s(r(f)).
-18*f + 28
Let f(b) = -2*b**2. Let a(m) be the first derivative of 3*m**4/2 - 27*m + 86. Let z(g) be the first derivative of a(g). Calculate f(z(s)).
-648*s**4
Let x(o) = 8*o**2. Let m(t) = 8326437*t. Give m(x(f)).
66611496*f**2
Let l(z) be the third derivative of -z**5/15 + 3*z**2. Let k(b) be the second derivative of -2*b**3/3 + 7749*b. Calculate l(k(q)).
-64*q**2
Let r(o) = 3696*o. Let v(t) = -7080*t. Determine v(r(z)).
-26167680*z
Let s(v) = 121*v**2 - 6*v. Let m(h) = 243*h**2 - 14*h. Let x(j) = -4*m(j) + 9*s(j). Let r(a) = -143*a - 148*a + 293*a. Calculate r(x(t)).
234*t**2 + 4*t
Suppose r + 1 + 1 = 0. Let j(a) = -a**2 - 3*a + 2*a + 468 - 469. Let c(w) = -4*w**2 - 2*w - 2. Let u(n) = r*j(n) + c(n). Let f(g) = 54*g**2. What is u(f(q))?
-5832*q**4
Let f(o) = -185827 + 185827 - 4*o. Let z(c) = -3*c**2 + 6*c - 9*c - 4*c**2. Determine z(f(h)).
-112*h**2 + 12*h
Let b(c) = 4*c**2. Let x be ((4 + -3)*-9)/((-3)/6). Suppose 11*k = 14*k - x. Let l(a) = 3 - 11*a - k + 3. Calculate l(b(f)).
-44*f**2
Let z(m) = 6*m**2 + 3. Let v(a) = 7*a**2 - 5. Let t(p) = -6*p**2 + 4. Let r(o) = -6*t(o) - 5*v(o). Let l(x) = -3*r(x) + z(x). Let g(j) = j**2. Give g(l(i)).
9*i**4
Let i(u) = -416*u**2 - 343*u**2 + 754*u**2. Let b(o) = 113*o. Give i(b(h)).
-63845*h**2
Let j(m) = -70*m - 1. Let n(h) = -52*h**2 + 12*h + 6. Let r(x) = 43*x**2 - 10*x - 5. Let s(b) = -5*n(b) - 6*r(b). Determine j(s(z)).
-140*z**2 - 1
Let y(z) = 2*z**2 + 988*z. Let j(w) = 4*w**2 + 231. Give y(j(r)).
32*r**4 +
|
{
"pile_set_name": "DM Mathematics"
}
|
3*n + 5 + 4 = 0. Suppose -4*t + 11 = -n*b + 169, -4*t = 20. Is b greater than 0.1?
True
Let p(y) = y**3 - 2*y**2 - 4. Let q be p(2). Let r be ((-7)/q - 2) + 0. Is r <= 0.6?
True
Let y = -4.05 - -0.05. Let u = 83 - 79. Let i = u - y. Is -0.1 bigger than i?
False
Let b be 504 - 10*7/14. Is b bigger than 497?
True
Suppose -74 = 5*x - 24. Let o = 10 + x. Which is smaller: o or 3/5?
o
Let i = 353622/125 + -2829. Which is smaller: -1 or i?
-1
Let s = 3 + -3.2. Let q = s - -1.2. Let u = q + -1. Which is smaller: 2/5 or u?
u
Let l be ((-6)/(-144)*-4)/(1/(-6)). Which is greater: 7 or l?
7
Suppose -5*i - 1364 = -2*d, 5*d + 26 - 11 = 0. Which is smaller: i or -275?
-275
Let k = 14 - 12. Let b be k/(-1) + 46 + 2. Let c be b/(-3) + (-12)/(-9). Is -13 at least c?
True
Let y be (9 - (-56)/(-6))/(2/(-234)). Is 36 <= y?
True
Let a be (-3)/((-3)/(-2)) + 27 + -25. Let u be 7 + (0 + 2)*-1. Let z be 14/(-60) + 2/u. Which is greater: a or z?
z
Let p = -2478 - -378. Let q = p + 18878/9. Is q bigger than -3?
True
Suppose 10 = 2*n - 3*x, 2*n - 7*n - x = -8. Suppose 5*u - 14 = -2*g + 25, 53 = 3*g + n*u. Let s = g - 13. Is 5 at least as big as s?
True
Let a = -1.3 + 0.3. Let y = -0.04 + 0.16. Let i = -0.13 + y. Is a at most as big as i?
True
Let a(i) = -i**2 + 6*i - 5. Let s be a(3). Suppose 7*k = 2*k + f + 15, k - 4*f = 3. Let j be ((-9)/k - -1)/s. Which is greater: -2 or j?
j
Let h = -499 + 475.3. Let f = 0.3 - h. Let c be ((2 + -2)/9)/1. Is c not equal to f?
True
Suppose -4*p - 5*r + 38 = 0, 0 = -p - 2*p + 2*r + 40. Let j be (3 + -4)/(2/(-30)). Let u = -4 + j. Is u not equal to p?
True
Suppose -i = 4*h + 12, -9 = 3*h + 3. Suppose 0 = 4*u - 2*b - 10, i*b - 12 + 32 = 5*u. Let j be ((-54)/30)/(1 + u). Which is smaller: -1 or j?
j
Let t = 31 - 30.7. Let c = t - 2.3. Let b = -1.6 - 0.4. Is b smaller than c?
False
Suppose 0 = 5*d + 4*r + 8, -3*d + 3 = 4*r + 11. Suppose d = 2*a - 2*g - 10, 2*a - 2*g - g = 14. Which is smaller: a or 2/19?
2/19
Let g(x) = 8*x**3 + x**2 - 4*x + 3. Let h be g(2). Suppose 4*w + h = 19. Are w and -112/9 nonequal?
True
Let t(q) = q**3 + 2*q**2 + 2*q. Let p be t(-2). Let g = -49 - -41. Let j be ((-20)/g)/((-5)/p). Is 0 greater than or equal to j?
False
Suppose 23 = -2*d + 3*h - 8*h, -2*d - h = 3. Let c be 4/30*27/2. Is c greater than or equal to d?
True
Suppose 12*o - 22*o - 20 = 0. Is 22 smaller than o?
False
Suppose i - 48 - 85 = 2*a, -i - 4*a + 163 = 0. Is i > -0.1?
True
Let h be 4*(-2)/(-8)*7. Let r = 32 - 29. Suppose -3*t = 2*t - 2*f - 40, -t + 8 = r*f. Which is bigger: h or t?
t
Suppose -247 = -3*l + 2*f, 2*f = 3*l + f - 242. Which is smaller: l or -1/3?
-1/3
Let h be (3/4)/((-1)/4). Let b(o) = -o**3 - 4*o**2 - 4*o - 4. Let i be b(h). Let u = 802 - 24860/31. Is i at most as big as u?
True
Let p = -0.4 + 4.4. Let a = p + -5. Which is greater: a or 1/5?
1/5
Suppose 0 = 5*z - 5*s - 5, -2 = -z - 2*z + 4*s. Suppose -5*r + a = -88, -22 = -2*r + z*a + 18. Is r greater than 15?
True
Suppose -4*l + l + 27 = 0. Let t be (12/l + -2)*36/(-4). Suppose 5*h = 3*w + 36, -w - 19 = -4*h + 7. Is h bigger than t?
False
Let m = -176 + 77. Let z = m - -100. Is z < -0.1?
False
Suppose 0 = -6*v - 837 - 243. Let p = v + 367/2. Which is smaller: p or 4?
p
Let y(j) = -j**3 - 31*j**2 + 101*j - 14. Let l be y(-34). Which is smaller: 13 or l?
13
Let w be 2 - (2/133)/((-24)/(-5080)). Let y = w + -14/57. Is y greater than 1/2?
False
Let w = 29.27 - 29. Let q = 0.7 + 1.3. Which is smaller: q or w?
w
Let j be (-1)/(-2 - (-58)/26). Suppose -4*f = 5*d + 2, -4*f = -5*d + f + 25. Let b be 1*4*d/(-2). Which is smaller: b or j?
j
Suppose -2*d = -5*n - 18, -18*d + 23*d + 13 = -2*n. Is 2/3539 < d?
False
Let u(f) = 2*f**3 + 35*f**2 + 17*f - 1. Let k be u(-17). Which is bigger: -15/16 or k?
-15/16
Let v = -842 - -842. Is 3.56 less than v?
False
Let v = -1.53 + -231.47. Which is smaller: v or 2?
v
Let g be (-6)/(-4)*(-10)/15. Suppose -u - 5*f - 27 = 0, 5*u + 3*f + 69 = -0*f. Let i be 4/(8/u*3). Is g less than i?
False
Let i = 5684 + -15973/3. Which is smaller: i or 361?
i
Let m = -9 - -8.96. Let r = -0.16 + m. Let i be -3 + 26/7 - 1. Which is smaller: r or i?
i
Let y = 1/62 - -55/434. Which is smaller: y or 0?
0
Let c be 1 - (-6 - -1 - -4). Let k be (-574)/(-28) - c/4. Let l = -11 + k. Is l less than or equal to 10?
True
Let l be (-2)/15 - 5962/(-165). Let y = 38 - l. Is y equal to 0?
False
Let u be (2/38)/(0 + -3). Let j = -334 - -333. Does j = u?
False
Let y = -55.3 + 43.3. Which is bigger: -5/16 or y?
-5/16
Let t = 21/16 - 137/80. Which is smaller: -0.175 or t?
t
Let u = 39/10 + -4. Let t = 3.5 + -3.19. Let q = -2.31 + t. Is q less than or equal to u?
True
Suppose 34*k - 92*k = -78648. Is 1355 <= k?
True
Let z be (-8)/(-3) + 4/(-6). Suppose 4*u - 5*b = -b - 8, -z*u = -4*b - 6. Are -4 and u equal?
False
Let c = -422 - -17725/42. Let l be ((-61)/63)/(11/((-33)/(-4))). Let i = c - l. Which is smaller: i or 0?
0
Suppose 4 = -3*t - 2*y, -4*t + 15*y - 10 = 20*y. Which is bigger: t or -0.163?
t
Let s = 8 + -8. Suppose 4*h + 3*j + 47 = 0, h - 2*j + 9 = -s*j. Is -13 at most as big as h?
True
Suppose 0 = -0*k - 5*k - 150. Let s = 44 + k. Let v = -1030 - -1044. Are v and s nonequal?
False
Suppose 3*r = 2*g + 14, 0 = -4*r + 5*g + 23 + 5. Suppose 4*p + l - r*l = 28, 0 = -4*l - 16. Suppose -p = -y - 3*j + 2, -3*j - 12 = -3*y. Are 2 and y non-equal?
True
Let p be (6 + -5)/(57/(-444)). Which is greater: p or -9?
p
Let d = -281536/7 + 40300. Let i be (-1 + 50/(-4))/((-15)/90). Let g = d - i. Which is greater: -1 or g?
g
Let y(h) = 22*h + 571. Let t be y(-26). Is 4/133 greater than or equal to t?
True
Suppose -r + 5*r = 2*h + 42, -2*h - 54 = -5*r. Let g = 30 - r. Which is smaller: 19 or g?
g
Let o = 1 - 0.7. Let n = o + -0.8. Let m = n + 6.5. Is m at least as big as 0.2?
True
Let n(y) = y**2 + 7*y - 19. Let d be n(-12). Which is greater: d or 39?
d
Suppose 4*x = -q - 27, -q = 2*x + 3 + 12. Let w be ((-120)/198)/(4/x). Which is bigger: 0 or w?
w
Suppose -30*q = -35*q - 5. Let t be q/(3 + (8/(-4) - 2)). Is t < -13?
False
Suppose 11*s = 27*s + 272. Suppose 0 = 18*j - 16*j + 36. Are j and s non-equal?
True
Suppose -r + 2 = m, 3*r - 13*m - 22 = -8*m. Suppose 2*i + 3*i = -4*n + 43, n = -4*i + 30. Let u = -2 + i. Is u greater than r?
True
Let b(u) = u**3 + 2. Let c be b(0). Suppose -4*f - 4 = 0, 3*f + 6 = c*z + z. Let k be z*3*14/6. Is 7 smaller than k?
False
Let m be (-4)/(-174)*2*3/(-24). Which is smaller: m or 1?
m
Suppose -4*q + 20 = 8. Which is smaller: -36/7 or q?
-36/7
Suppose 0 = 4*i + i + 4*a - 60, -2*i + 24 = -5*a. Let j be 1/(-1 - i/(-9)). Let t be 10/25 - (52/(-45) - 0). Is t >= j?
False
Suppose -293 = 5*r + 5*z - 773, 5*z = r - 102. Is 98 at least as big as r?
True
Let m = 1675 + -1674.2. Which is smaller: -3/22 or m?
-3/22
Let v(h) = 6*h - 3. Let x be v(5). Suppose -4*o = x + 1. Suppose 0 = -5*z - 20, -12 = 4*b - 5*z + 3*z. Which is bigger: b or o?
b
Let p = -68 - -38. Let g be 5/(p/4) - (-4)/6. Which is smaller: g or -11?
-11
Suppose -234*v - 17 = -251*v. Let m be (-1 - 1)/(-1 - 1). Is m bigger than v?
False
Let b be ((-3)/(-2))/((-3)/(-4)). Suppose -b*z = -3*p - z + 4, -4*p + 20 = -5*z. Which is smaller: -1 or p?
-1
Let k = 10695/14 + -1326/7. Let c = k - 591. Is -17 equal to c?
False
Suppose -10*z = -z. Suppose z = -2*o + 2*m + 108, -m + 2*m + 219 = 4*o. Is 56 not equal to o?
True
Let d be -17 - -1 - (-10 - -7). Suppose 11*q - 7*q - 4 = 0. Is d less than q?
True
Suppose 5*l = 2*k + 9, k + 6*l = l + 18. Suppose 3*g + k*q = -6, 4*g - 5*q = -10*q - 3. Let c be 4/14*g/9. Which is smaller: 0 or c?
c
Let m = -1465 - -110. Is -1355 != m?
False
Let v(k) = -2*k + 7. Let z be v(1). Let g be ((-5)/490)/(z/10). Which is bigger: g or -1?
g
Let u(d) = 3*d - 1. Let q(v) = -2*v + 2. Let p be q(1). Let x be u(p). Which is bigger: -33 or x?
x
Let g be 12/20*(-1 - 542/(-8)). Let m = 163/4 - g. Is 0 greater than or equal to m?
False
Suppose 2*y + 349 = 19. Let o = y - -1159/7. Let l be 0*(-1)/2*2. Which is smaller: l or o?
l
Suppose -4*v = -14 - 14. Are v and -3 nonequal?
True
Suppose 2375 - 345 = -14*r. Is r > -144?
False
Let m be 6/33*1323/14. Let p = -18 + m. Is p <= 0?
True
Let r = 826 - 136291/165. Is -1 <= r?
True
Let r be (-10)/(-24) + 24/(-9) + 2. Is r <= 44?
True
Suppose -10 = -5*a, 4*a = 4*h + 2
|
{
"pile_set_name": "DM Mathematics"
}
|
Give w(q).
-9
Let l(a) be the third derivative of -7*a**5/60 + a**3/6 + 190*a**2. Calculate l(1).
-6
Let d(t) = -5*t**3 - 5*t**2 - 5*t + 5. Let i be ((-56)/49)/(2/(-7)). Let f(z) = -4*z**3 - 5*z**2 - 5*z + 4. Let v(s) = i*f(s) - 3*d(s). What is v(-4)?
5
Let v(x) be the third derivative of -x**5/30 - x**4/8 + x**3/3 - 219*x**2. Determine v(2).
-12
Let o(k) = 2*k**2 + k - 1. Let f(y) = -y**2 + 13*y - 25. Let j(v) = -3*v + 32. Let x be j(7). Let c be f(x). Determine o(c).
14
Let f(z) be the first derivative of -4*z - 1/3*z**3 + 8 + 5/2*z**2. Calculate f(6).
-10
Let o(p) be the first derivative of -6 + p**2 + 0*p + 1/24*p**4 + 2*p**3. Let y(w) be the second derivative of o(w). Give y(-6).
6
Let d be 2 - 2 - 0/1. Suppose -r + 2*l = 1 + 5, -2*r + 2*l - 6 = d. Let m(u) be the second derivative of u**4/12 - 5*u**2/2 - 849*u. Give m(r).
-5
Let i = -174 - -169. Let k(u) = 5*u + 9. Let z(r) = -r - 5. Let c(h) = 4. Let v(q) = -5*c(q) - 6*z(q). Let a(g) = -3*k(g) + 2*v(g). Determine a(i).
8
Suppose m - x - 2 = 0, 5*m = -5*x + 4*x - 2. Let z(q) = -q**3 - q**2 - 1. Determine z(m).
-1
Suppose 0 = 4*y + 2*r - 10, r = 2*r + 5. Let l(b) = 4*b + 6. Determine l(y).
26
Let s(c) be the second derivative of -c**2 - 2*c + 2 + 1/12*c**4 - 1/3*c**3. Calculate s(5).
13
Let g(b) = b**3 + 7*b**2 + 4*b - 3. Let i = 73 - 50. Suppose 9*n - 84 = i*n. What is g(n)?
9
Let c(n) = -n + 16. Let v be c(13). Let p(w) = -4 + 2 + v + w - 2. Let j(y) = -3*y + 11. Let q(g) = -j(g) - 4*p(g). What is q(-5)?
-2
Let o(t) = 3 + 6870*t**2 - 2 + 8*t - 6878*t**2 + t**3. What is o(7)?
8
Let l(f) = -f + 11. Let c be l(-17). Suppose 0 = b + 6*b + c. Let s(g) = -2*g - 2. Determine s(b).
6
Let o(g) be the second derivative of -g**5/20 + g**4/3 + g**3/2 - 3*g**2/2 - g. Suppose -46*y = -200 + 16. Determine o(y).
9
Let c = 3005 + -3003. Let f(p) = -p + 1. Let m(a) = 3*a - 2. Let k(s) = -5*f(s) - m(s). Give k(c).
1
Suppose 7*y - 24 = -y. Suppose 2*l - 14 = -2*g + 2, y*g = 2*l + 14. Let q(t) = -t**2 + 3*t + 7. Determine q(g).
-11
Let v(o) = -2*o - 10. Let j be (-14)/4*(-120)/(-35). Determine v(j).
14
Let l(p) be the first derivative of p**2 - 8 - 4/3*p**3 - p. What is l(1)?
-3
Let x(s) = -3*s**3 - 1. Suppose 0 = -14*m + 20*m. Let i be 3 - 1 - ((-2 - m) + 5). Calculate x(i).
2
Let d = 39 + -37. Let p(l) = 6*l + 0*l - 1 - l - 3*l**2 + 2*l**d. What is p(5)?
-1
Let s(q) = 5 + 213*q - 109*q - 103*q - q**2. Suppose -16 = -2*p - 2*p. What is s(p)?
-7
Let a(l) = l**3 + 8*l**2 + 7*l - 3. Let m = 48 + -50. Let k(r) = 7*r + 7. Let w be k(m). Give a(w).
-3
Let a(i) = -2*i. Suppose -5*c + 10*c = r + 21, -4*c + r + 16 = 0. Let h(m) = 4*m**2 + 6*m - 614 + 307 - m**3 + 308. Let p be h(c). What is a(p)?
-12
Let o be (-5)/(-2)*1*2. Let c(g) = 2*g + 5*g - 15*g + 3*g + 1 + 7*g. What is c(o)?
11
Suppose 9*w + 179 = 179. Let r(c) = -c**2 - c - 43. Determine r(w).
-43
Let l(p) = -3*p**2 - 9*p - 6. Let v be l(-3). Let u(s) = s**2 + 4*s + 5. Give u(v).
17
Let b(n) = n**2 - 38*n - 5. Let g(v) = v**2 - 32*v - 4. Let p(m) = -4*b(m) + 5*g(m). Give p(9).
9
Let m(x) = 9*x + 3*x - 29*x - 8 + 12*x. Calculate m(-9).
37
Let l(q) = -q**2 - 2*q - 4. Let b(i) = -i**3 + 9*i**2 - i + 5. Let n be 2 - (-3 + -1) - 2. Suppose 38 - 2 = n*o. Let d be b(o). Calculate l(d).
-12
Let m(w) = -281*w + 576*w + 1 + w**2 - 289*w. Suppose -2*r = f, -5*f - 14 = -0*f - 4*r. Let z = f - 2. Determine m(z).
-7
Let k(s) be the second derivative of -5/6*s**3 + 0 - 4*s**2 - 1/12*s**4 + 9*s. What is k(-6)?
-14
Let x(h) = -37 + 14 + 7*h + 20. Determine x(-2).
-17
Let z be ((270/(-12))/5)/(11/(-22)). Let x(u) be the first derivative of z + 1/2*u**2 + 0*u. Calculate x(0).
0
Let g(l) be the second derivative of 2*l**3/3 + 5*l**2 - 67*l. What is g(-7)?
-18
Let d(s) = -s**2 - s - 1. Let i(t) = 6*t**2 + 2*t + 3. Let a(o) = 4*d(o) + i(o). Determine a(-2).
11
Let n(y) = 70*y**2 - y. Let g be n(-1). Suppose 2*q = -b + 12 + 7, 4*q - g = -5*b. Let f(d) = -b - d**2 + 2 + 4 + 4*d + 1. Calculate f(3).
-1
Let f be (-4)/(-2) + 1 - -3. Suppose 2*n = f*n - 40. Let q = 10 - n. Let a(g) = -g - 6. Determine a(q).
-6
Let n(u) = u - 1. Let s be (84/8)/3*-2. Let c be ((-11)/(-2))/(2/4). Let p = s + c. Calculate n(p).
3
Let s(r) = r**2 - 11*r + 2. Let d be s(11). Let c be (-2)/12 + (-169)/(-78). Let w(l) = -4 - 5*l**2 + c*l + l + 2. Determine w(d).
-16
Suppose 6 = 4*u - 22. Suppose 6*h = u*h - 8. Let l(p) = 7 - 6*p + h*p - p**2 + 2*p. Determine l(6).
-5
Suppose 6*l + 0*l = 156. Let t be (3/2)/(l/(-52)). Let m(k) = -k**2 + k + 3. What is m(t)?
-9
Suppose 69 - 55 = -2*s. Let a(x) = -x - 1. Let l(c) = -2*c - 1. Let m(h) = 3*a(h) - l(h). What is m(s)?
5
Suppose 0*d = 2*d + 2*f - 8, -2*d - 5*f + 5 = 0. Let y(q) = -q**3 + 3*q**2 + 4*q + 6. Calculate y(d).
-24
Let o(z) = -z**3 + 5*z**2 + 6*z - 7. Suppose i = 11*i - 4*i. Suppose 2*u + g - 17 = i, 4*u - 3*g = 15 - 6. What is o(u)?
-7
Let f = -28 + 29. Let r(o) = 6*o - 6*o - 10*o - o + f. What is r(1)?
-10
Let i(q) be the second derivative of q**6/360 - q**5/60 - q**4/12 - 17*q**3/6 - 20*q. Let o(g) be the second derivative of i(g). What is o(3)?
1
Let l be 4 + ((-6)/(-10))/(9/(-45)). Let b(x) be the second derivative of -x**3/3 + x**2 - 2*x. Let w(f) = f - 1. Let p(c) = l*b(c) + w(c). What is p(-1)?
2
Let s(q) = 53 + 2*q + q - 52. What is s(0)?
1
Let d(h) be the third derivative of h**6/120 - 7*h**5/60 + h**4/4 + 7*h**3/6 - 21*h**2 - 2*h. Determine d(6).
7
Let p(c) = c**3 - 4*c**2 - c + 5. Let u be p(4). Let d(k) = -8*k**3 + k**2 - k + 1. What is d(u)?
-7
Suppose -4*o + 2*h = 2, 5*o - 6*h = -2*h + 2. Let i(a) = a - 6. Let j(x) = 2*x - 13. Let z(y) = o*j(y) + 5*i(y). Calculate z(-3).
-7
Let y(x) be the third derivative of x**6/120 + x**5/60 + x**4/12 - 10*x**3/3 - 881*x**2. Give y(0).
-20
Let d(s) = -135 + 4*s - 5*s + 133. What is d(-9)?
7
Let b = 32 + -31. Let k(n) = 6*n - 2 + b + 5 - n**2 - 1. Calculate k(6).
3
Suppose 0 = -4*i + 3*o + 17, 4*i + 5*o = -0*i - 7. Let n = 46 - 43. Let b(y) = -i*y**2 + y**3 + 0*y**n - 2*y**3 + 7*y**2 + 2 + 6*y. Give b(6).
2
Let g(r) = -r**3 + 5*r**2 - 2*r + 2. Suppose -2*a = -0 - 12. Let p be 4*3*a/18. Determine g(p).
10
Let w(x) = 14*x**2 + 7*x. Suppose -8*p + 14 + 10 = 0. Let n(r) = -7*r**2 - 4*r. Let l(f) = p*w(f) + 5*n(f). Give l(-1).
6
Let u(j) = -11*j**3 - 4*j**2 - 6. Let b = 17 - 22. Let v(k) = -10*k**3 - 5*k**2 - 7. Let r(y) = b*v(y) + 6*u(y). What is r(1)?
-16
Let x be 42/(-35)*(-15)/9. Let q(i) be the third derivative of 0*i + 0 - 1/6*i**3 - 5/12*i**4 - 8*i**x. Determine q(1).
-11
Let n(m) = -m**2 + 9. Suppose 54 = f - 2*f. Let g be (-4)/(-18) - (-12)/f. Calculate n(g).
9
Let g = 124 + -126. Let h(z) be the third derivative of z**5/60 + z**3/6 - 8*z**2. What is h(g)?
5
Let g = -2083 + 2068. Let o(t) = t**2 + 18*t + 8. Give o(g).
-37
Let j(d) be the second derivative of d**4/6 + 2*d**3/3 + 3*d**2/2 - 4*d. Suppose -5 + 17 = -4*t. What is j(t)?
9
Let f(k) = 0 - 79*k**2 + 0 + k - 4 + 78*k**2. Let v(q) = 2*q**2 - q + 5. Let l(m) = -5*f(m) - 4*v(m). What is l(2)?
-14
Let m(l) = -37*l**2 + 3*l + 2. Let s(h) = -72*h**2 + 7*h + 5. Let p(d) = -5*m(d) + 2*s(d). Determine p(-1).
42
Let b(v) = -v**2 + 6*v - 1. Let l(c) = c**3 - 8*c**2 + c - 4. Let n be l(8). Let q(h) = -6*h + 6. Let k be q(n). Let g = -13 - k. Give b(g).
4
Let w(b) be the first derivative of b**2/2 + 2*b + 106. Suppose 3*q + y + 7 = -0*y, 0 = -5*q - 5*y + 5. Determine w(q).
-2
Let f(c) = 15*c**2 + c - 5. Let h(r) = 6*r**2 + r - 3. Let m(g) = -3*f(g) + 5*h(g). Give m(-1).
-17
Let k be 498/415 - 2/10. Let z(h) = -13*h**3 - h**2 + 2*h. Give z(k).
-12
Let k(o) be the second derivative of o**3/6 - 5*o**2/2 + 45*o + 2. Give k(8).
3
Let r(b) = -b**3 - 6*b**2 - 8*b - 6. Let n be 1/(-2) - (-108)/8. Let v = 14 - n. Suppose f + v = -4. Calculate r(f).
9
Let c(k) = 11*k + 6. Let d(v) = -13*v - 10. Let a(o) = -38*o - 29. Let l(h) = 6*a(h) - 17*d(h). Let p(i) = -5*c(i) - 8*l(i). Give p(-1).
1
Let f(m) be the third derivative of m**4/24 + 99*m**2 + 2. What is f(5)?
5
Let p(i) = 14*i - 3. Suppose 0 = -3*q + 3*u + 3, -3*q + 1 = -u - 4*u. What is p(q)?
25
Let w = -7 - -11. Let n(a) = -w*a - 1 + 1. Let m be 7/(-3) + (-24)/36. Calculate n(m).
12
Let v(q) = -q + 5. Let r(j) = j - 11 + 0*j - 4*j + 4*j. Let x be r(-5). Let s = x - -22. What is v(s)?
-1
Let b(p) = -34*p + 4 +
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose 20 = -5*h, 5*h - 7*h - 13 = -f*i. Solve -i - 1 = -j for j.
2
Let g be ((-1)/(-1) - -6) + -30 + (-504)/(-14). Solve -3*v - 10 = -g for v.
1
Let a be -6 - (-412)/12 - (-4)/6. Let f be 3/(-6)*(-48 - (2 + 0)). Suppose -5*x = -2*k + 4*k - a, 0 = 5*x - f. Solve k*d + 2*d = 0 for d.
0
Let l(j) = j**2 - 7*j - 18. Let r be l(-2). Suppose 0 = -y + 4*s + s + 33, 4*y - s - 37 = r. Solve -3*z - y = z for z.
-2
Suppose 533 + 514 = 54*w + 237. Solve -90*p - w = -95*p for p.
3
Suppose 5*g + 15*g - 200 = 0. Suppose g*n + 2*n = 24. Solve -20 + 26 = -n*i for i.
-3
Let v = 2440 + -2350. Solve -32 = -29*y - v for y.
-2
Suppose 3*b - 144 = 3*t, 20*b = 23*b + 5*t - 120. Solve -8 = 47*c - b*c for c.
-4
Let c(d) = 5*d + 18. Let v be c(-3). Let j(y) = 3*y**2 - 7. Let p be j(3). Let q(g) = -g**2 - 7*g - 6. Let m be q(-6). Solve m = -u - v*u + p for u.
5
Let v = -277 + 280. Suppose -27 = -v*f - 0*f - 4*n, -5*n + 25 = 2*f. Solve 0*i - f*i + 20 = 0 for i.
4
Let b(c) = -c**3 + 3*c**2 + 6*c - 14. Let q = -28 - -31. Let d be b(q). Solve 0 + 8 = d*a for a.
2
Let n be 25/(-10) + 3 + 691/2. Solve 0 = -349*d + n*d - 3 for d.
-1
Let c be 654*7/2*(-49)/(-343). Solve 30*u + c = 357 for u.
1
Let v(p) = -p**3 - 4*p**2 - 7*p - 8. Let m be v(-4). Let h = -15 + m. Suppose 4*j + k = 8, h*j - 10 = k - 5*k. Solve -j*u = 3*u - 15 for u.
3
Suppose 0 = -2*l + 4, 5*l + 3 = 2*k + 9. Suppose j - 4 + 1 = p, 2*j + k*p = 18. Solve 0 = -j*d + 7*d for d.
0
Suppose -3*n = -6 - 54. Suppose 0 = -5*t - n + 120. Let a = 0 + t. Solve -m - a = 4*m for m.
-4
Let g(d) be the first derivative of d**6/360 - 3*d**5/40 + d**4 + 4*d**3/3 - 8. Let l(z) be the third derivative of g(z). Let y be l(5). Solve 3 - y = x for x.
-1
Let i(w) = 12*w - 18. Let l be i(2). Let n = l + -6. Solve n = 4*d - 0*d + 16 for d.
-4
Let z(j) = -j**3 + 6*j**2 + 40*j - 202. Let h be z(6). Solve 7*p + h = 59 for p.
3
Let o(v) = 3*v + 0*v + 26 + v. Suppose 228*n - 233*n = -4*m + 14, -44 = 4*n + 5*m. Let k be o(n). Solve -k*r + 5 - 11 = 0 for r.
-3
Let j(z) = 2*z - 21. Let y be j(11). Let t be 3/(2 + 0 + y) + 3. Suppose -t*k = 4 - 28. Solve -3*h + k = -0*h for h.
2
Let q = 218 + -149. Let o = q + -65. Solve -o*m - 16 = -4 for m.
-3
Let s be 212/(-1)*(-88)/32. Let j = s - 581. Solve -4*x - 4 = -j*x for x.
-2
Let u(o) = -2*o**3 - 8*o**2 + 12*o + 10. Let w be u(-5). Let k be w*2*8/16. Solve k = 45*m - 46*m - 4 for m.
-4
Suppose 23*r - 40 + 1 - 76 = 0. Solve -g = r*g - 6 for g.
1
Suppose 63*p + 798 = 2781 + 789. Suppose 3*f - 3 = 12. Suppose -4*q + p = 4*k, 20 = f*k - q - 5. Solve z - k = -z for z.
3
Let p(a) = -a**3 - 25*a**2 - 154*a + 24. Let d be p(-12). Solve d = 17*j - j + 96 for j.
-6
Let f(w) = w**2 + 16*w - 14. Let t be f(-17). Suppose -p + 3*h = 4*p - 6, 4*h = t*p - 8. Let x = -32 + 34. Solve p = -x*u - 5 - 3 for u.
-4
Let c = -36834 - -36834. Solve c = 79*y - 129*y + 400 for y.
8
Suppose 0 = 19*d - 58*d + 156. Suppose 3*q - 4 = q. Let r be q/(-3)*(-6)/d. Solve 2*w - r = 9 for w.
5
Suppose -6*z - 45 = -15*z. Suppose 0 = -2*j + 3*j - 5*t + 9, -z*t = -4*j + 9. Suppose -a = -7 + j. Solve 5*x + 4 = -a for x.
-1
Suppose 15*q + 31 = 886. Solve 56*b = q*b - 5 for b.
5
Let w(p) = p**2 - 2*p - 14. Let z be ((-5)/2)/((-5)/12). Let b be w(z). Let u be (-612)/(-120) + (-1)/b. Solve -3 - u = 4*q for q.
-2
Suppose 0 = 2*a - 7 - 1. Let h = a - -35. Suppose -55 + h = -j. Solve 5*y = j - 1 for y.
3
Let h = -1094 + 1094. Let t(u) = -u - 2. Let m be t(-7). Solve h + m = j for j.
5
Suppose -13*x = n - 14*x - 12, 2*x - 25 = -5*n. Let k be ((-40)/(-7))/(n - (-188)/(-28)). Solve -6*g - 10 = k for g.
-5
Let j(n) = n**2 + 9*n - 8. Let g(d) = -2*d**2 + 3*d - 1. Let i be g(3). Let b be j(i). Suppose w - 2*w = 2*t - 5, 0 = 2*t + b*w - 2. Solve -8 + t = l for l.
-4
Suppose 0 = 92*i - 33*i - 46*i - 468. Solve i*o = 15*o + 21 for o.
1
Suppose 5*o - 2*t = 15 - 7, 8 = 3*o - 2*t. Suppose -12*u + 112 + 68 = o. Solve -6*v - u = -3*v for v.
-5
Let i = -4829 + 4829. Let y = -36 + 74. Solve 36*u - y*u - 10 = i for u.
-5
Let c(v) = 6*v + 74. Let d be c(-12). Suppose -w = 3*k - 10, -3*w = -6*w - 3*k + 30. Let r be (-1*w)/((-135)/54). Solve -d*q = -0*q - r for q.
2
Suppose 5*l = h + 22, -3*l + 20 = l - 2*h. Suppose -10 = -r - l. Solve -j = 5 - r for j.
1
Let h be (174/(-30))/(((-96)/30)/(-4) - 1). Solve -h*n + 31*n = 4 for n.
2
Let i = 13 - 8. Let y be (8/(-6) + 1)/(2/(-66)). Suppose 0 = -y*d + 17*d - 18. Solve i*c = 2*c + d for c.
1
Suppose -4*k = t - 16, 4 = -0*t + t. Let q(j) = 2*j**2 + 18*j - 4. Let f be q(4). Suppose -148*x = -143*x - f. Solve k*a + x = -a for a.
-5
Let p(g) = -g**2 - 9*g + 1. Let o be p(-2). Suppose 5*k + o = -5*h, -5*h - 24*k = -25*k - 3. Let l = -3 + 5. Solve h = -l*v + 1 - 11 for v.
-5
Suppose 189*t = 184*t + 25. Let s be (-504)/54*(6/(-4))/1. Let l(i) = -i**3 + i + 11. Let j be l(0). Solve j = t*x - s for x.
5
Let p(q) be the second derivative of q**3/3 + 26*q**2 + 40*q. Let w be p(-26). Solve w = -4*t + 16 + 4 for t.
5
Let s(h) = 7*h - 131. Let p be s(20). Solve -p*w + 27 = 54 for w.
-3
Let u = 2567 + -2562. Solve 20*w - 35 = u for w.
2
Suppose -21*r + 66 + 18 = 0. Suppose 0 = -4*s - 4*t + 124, 0 = s - r*s - t + 99. Solve 0 = -s*j + 37*j + 9 for j.
-3
Let c be 2*(3/(-1) - -2). Let k be (-819)/(-42) - c/4. Let x be ((-6)/k*-4)/(12/40). Solve 2*b = 4*b + x for b.
-2
Let c(h) = 9*h - 77. Let z be c(5). Let k be z/(-128) - (3/(-4) + -1). Solve 0 = -12*s + 11*s + k for s.
2
Let m(z) = 2*z**2 - z + 20. Suppose 3*t = -x + 12, 3*t - 12 = -2*x - 0. Let j be m(x). Suppose -j = -3*n + r, -n - 2*r = 3*r + 4. Solve -1 = d - n for d.
5
Let k = 3227 + -3202. Suppose -2*l = 3*l - 70. Solve -l*m = -9*m + k for m.
-5
Let k(b) = b**2 + 10*b + 1. Let h(s) = s**3 - 24*s**2 + s - 20. Let c be h(24). Let y be k(c). Solve -y*w + 3 = -56*w for w.
3
Let h = 126 + -124. Let s be -4*(-4 + 0 + h). Solve 4*o - s = 12 for o.
5
Suppose -9*f + 10*f = -16. Let x be -7 + (-36)/24*f/6. Let g be (-4)/x*(5 + (-42)/12). Solve 0*s + g*s = 0 for s.
0
Suppose -6*g + 2 = -4*g. Let n be (-620)/12 + 1/(-3) + g. Let x = n + 53. Solve -c - 1 - x = 0 for c.
-3
Let g(u) = 4*u + 9. Let v be g(-6). Let c be (2 - v/(-9))*(-2 - 4). Let y be (c/(-4) - -2)*(-14)/(-35). Solve -2*p + 7 = -y for p.
4
Let i(g) be the second derivative of g**3/6 - g**2 + 3*g. Let o be i(4). Suppose 0 = -7*j + 325 - 220. Solve -o*d = -7*d - j for d.
-3
Let i(w) = -2*w + 13. Let p be i(4). Let a be p + 1/(1/3). Solve a*u = 7*u - 5 for u.
-5
Let v be 2 + 3 + -9 - -6. Suppose v*u + 10 = 7*u + o, 4*u - 2*o = 8. Solve -u*t = 8 - 4 for t.
-2
Let s(w) = -246*w + 1492. Let o be s(5). Solve -o*c = -259*c - 15 for c.
5
Suppose -f = 2*y + 4, y = 3*f + 2*f - 13. Suppose 2*b + 3*b - p - 6 = 0, -4*p = 5*b - 26. Suppose -b*v = 8 - 10. Solve 0 = -3*s - v - f for s.
-1
Let h = -15878 - -16024. Solve -166*z = -h*z for z.
0
Let t(i) = -41*i**3 - 246*i**2 + 11*i + 68. Let n be t(-6). Suppose 0 = 3*d - 4*z - 6, 5*z = z. Let j = 2 - 2. Solve -d*f + j*f = -n for f.
1
Let t = 129 + -101. Suppose -31 = -3*y - t. Solve p - y = 1 for p.
2
Let o = 2195 + -2189. Solve -171 = o*a - 153 for a.
-3
Suppose 6*q = 29*q + 25*q. Suppose -18 = -3*k - 3*x, q*k = -2*k + 3*x - 3. Solve 6 = -k*n + 21 for n.
5
Let o = 48 + -79. Let w = -28 - o. Let j = -6 + 8. Solve -w*d - j = -8 for d.
2
Let j be 3/(-1) + (-2 - 3). Let v(y) = y**3 + 7*y**2 - 9*y - 3. Let s be v(j). Suppose -4*p + t + 20 = 0, s = p - 3*t - 11. Solve 0 = 7*c - p*c + 6 for c.
-2
Let x be -6*(2492/(-12))/7. Let r = x + -90. Let q = 91 - r. Solve 12 = q*a + a for a.
3
Let k be (5 + -19 + 4)*(-78)/(-10). Let t be 1/(1/(k/(-6))). Solve -5 = -6*a + t for a.
3
Let w = 158 + -154. Suppose -5*k = -l + 5, 0 = -w*l + 5*k - 2*k + 3. Solve -y + 0*y - 4 = l for y.
-4
Suppose 32 = 8*q - 16. Solve -6*t = -5*t + q*t for t.
0
Suppose -4*q = -8 - 4. Suppose 0 = -q*r + 2*m, -4*r - 3*m = -5*m - 2. Let p(x) = -4*x**3 + 2*x**2 + 15*x + 16. Let h be p(-1). Solve 1 = r*u - h for u.
4
Let s(u) = -399*u + 6822. Let l be s(17). Solve l*g = 60*g for g.
0
Suppose n = 5*f - 5, -n + 13 = 4*f - 0*n. Suppose 0 = -b - 5*j + 15 - 0, b - f*j = 22. Solve -a + b = 4*a for a.
4
Let p(o) = -o**2 + 8*o + 185. Let u be p(-10). Solve 0 = u*c + 21 - 36 for c.
3
Suppose -1436*w = -1439*w - 3*t + 1497, -5*w - 2*t = -2513. Solve -7 = w*d
|
{
"pile_set_name": "DM Mathematics"
}
|
98408 is divided by 93?
39
Calculate the remainder when 252529 is divided by 515.
179
What is the remainder when 3143865 is divided by 1073?
1048
What is the remainder when 39184590 is divided by 4353829?
129
Calculate the remainder when 118600 is divided by 29384.
1064
Calculate the remainder when 45603459 is divided by 28.
27
Calculate the remainder when 6240751 is divided by 112.
111
What is the remainder when 183460 is divided by 5173?
2405
What is the remainder when 56469 is divided by 56377?
92
Calculate the remainder when 1017327 is divided by 138.
129
What is the remainder when 16787282 is divided by 16804?
86
Calculate the remainder when 1081140 is divided by 11751.
48
What is the remainder when 29828 is divided by 2139?
2021
What is the remainder when 53526 is divided by 163?
62
Calculate the remainder when 6377425 is divided by 803.
802
Calculate the remainder when 437473983 is divided by 31.
30
Calculate the remainder when 833114971 is divided by 1597.
1593
What is the remainder when 100004559 is divided by 40?
39
Calculate the remainder when 15258655 is divided by 119.
118
Calculate the remainder when 19430 is divided by 9531.
368
What is the remainder when 108854 is divided by 947?
896
What is the remainder when 159639 is divided by 39865?
179
Calculate the remainder when 1923009 is divided by 137318.
557
Calculate the remainder when 178181 is divided by 2827.
80
Calculate the remainder when 7061299 is divided by 1369.
1366
What is the remainder when 45048 is divided by 457?
262
What is the remainder when 83147095 is divided by 20?
15
What is the remainder when 223077 is divided by 43?
36
What is the remainder when 11267545 is divided by 128?
89
Calculate the remainder when 820338 is divided by 8457.
9
What is the remainder when 787622 is divided by 15?
2
What is the remainder when 626346 is divided by 336?
42
Calculate the remainder when 2812990 is divided by 14.
12
What is the remainder when 134104 is divided by 3942?
76
Calculate the remainder when 235247 is divided by 260.
207
Calculate the remainder when 2993634 is divided by 1496772.
90
Calculate the remainder when 13257445 is divided by 150.
145
Calculate the remainder when 1753770 is divided by 57.
51
Calculate the remainder when 2596963 is divided by 1669.
1668
What is the remainder when 1249788633 is divided by 516?
513
What is the remainder when 468979 is divided by 22?
5
Calculate the remainder when 29683037 is divided by 249.
245
What is the remainder when 9750535 is divided by 17?
15
What is the remainder when 8763 is divided by 149?
121
What is the remainder when 157183199 is divided by 2710055?
9
What is the remainder when 333888 is divided by 2239?
277
Calculate the remainder when 12998986 is divided by 764644.
38
What is the remainder when 13137 is divided by 3239?
181
What is the remainder when 11061454 is divided by 588?
586
Calculate the remainder when 2298656 is divided by 810.
686
Calculate the remainder when 353469 is divided by 176720.
29
What is the remainder when 303457098 is divided by 449?
448
What is the remainder when 2240929 is divided by 160056?
145
What is the remainder when 747324 is divided by 210?
144
Calculate the remainder when 11523566 is divided by 313.
158
Calculate the remainder when 314693 is divided by 2366.
15
What is the remainder when 7407546 is divided by 129?
108
What is the remainder when 1259973 is divided by 23331?
99
What is the remainder when 495169 is divided by 569?
139
Calculate the remainder when 4490924 is divided by 18481.
41
What is the remainder when 9023194 is divided by 2255795?
14
What is the remainder when 5060570 is divided by 506056?
10
What is the remainder when 587725478 is divided by 51?
50
What is the remainder when 4481260 is divided by 1120312?
12
What is the remainder when 238022220 is divided by 75157?
1
What is the remainder when 116746 is divided by 1032?
130
Calculate the remainder when 1763409 is divided by 205.
204
Calculate the remainder when 206663 is divided by 34429.
89
What is the remainder when 117666 is divided by 58562?
542
Calculate the remainder when 254581 is divided by 1370.
1131
Calculate the remainder when 807282 is divided by 4460.
22
Calculate the remainder when 5975577 is divided by 19.
1
What is the remainder when 41994 is divided by 408?
378
What is the remainder when 11760335 is divided by 24?
23
Calculate the remainder when 4269572 is divided by 533696.
4
Calculate the remainder when 122463091 is divided by 477.
19
Calculate the remainder when 1723173 is divided by 661.
607
Calculate the remainder when 1090303 is divided by 37.
24
Calculate the remainder when 2835796 is divided by 62.
40
Calculate the remainder when 420149 is divided by 12731.
26
Calculate the remainder when 440672 is divided by 128.
96
What is the remainder when 892565014 is divided by 58?
56
Calculate the remainder when 5361501 is divided by 20.
1
What is the remainder when 1115789 is divided by 569?
549
Calculate the remainder when 55296 is divided by 571.
480
What is the remainder when 9964 is divided by 9085?
879
Calculate the remainder when 21210 is divided by 4232.
50
What is the remainder when 9535 is divided by 2359?
99
Calculate the remainder when 415860 is divided by 11.
5
What is the remainder when 11477207 is divided by 21?
14
What is the remainder when 9387534 is divided by 9648?
30
What is the remainder when 31031637 is divided by 33730?
37
What is the remainder when 2420246 is divided by 10?
6
What is the remainder when 547077 is divided by 3090?
147
What is the remainder when 69003 is divided by 13762?
193
Calculate the remainder when 81798439 is divided by 1163.
1160
What is the remainder when 445113 is divided by 14079?
8664
What is the remainder when 876389 is divided by 98?
73
Calculate the remainder when 4438358 is divided by 107.
105
Calculate the remainder when 2319043 is divided by 36235.
3
Calculate the remainder when 520172 is divided by 8.
4
What is the remainder when 31375349 is divided by 272829?
14
Calculate the remainder when 28383110 is divided by 551.
549
Calculate the remainder when 100607413 is divided by 16767900.
13
What is the remainder when 8282 is divided by 75?
32
Calculate the remainder when 9324 is divided by 923.
94
Calculate the remainder when 544539 is divided by 20.
19
What is the remainder when 140943 is divided by 1113?
705
What is the remainder when 279073 is divided by 3041?
2342
Calculate the remainder when 2156443 is divided by 51.
10
Calculate the remainder when 15989662 is divided by 785.
782
Calculate the remainder when 66976 is divided by 7393.
439
What is the remainder when 32205 is divided by 7506?
2181
What is the remainder when 60117191 is divided by 1723?
1721
Calculate the remainder when 116116 is divided by 58055.
6
What is the remainder when 4841041 is divided by 7172?
7113
Calculate the remainder when 138306 is divided by 380.
366
Calculate the remainder when 71628 is divided by 8830.
988
What is the remainder when 56380 is divided by 1713?
1564
Calculate the remainder when 811844 is divided by 115903.
523
What is the remainder when 4858058 is divided by 17227?
44
What is the remainder when 3993981 is divided by 2985?
51
Calculate the remainder when 8633975 is divided by 9778.
1
Calculate the remainder when 69204469 is divided by 105.
19
What is the remainder when 35455 is divided by 4976?
623
Calculate the remainder when 157351 is divided by 7867.
11
What is the remainder when 2387558 is divided by 795840?
38
Calculate the remainder when 21955088 is divided by 766.
762
Calculate the remainder when 23281157 is divided by 69.
5
What is the remainder when 31318636 is divided by 13137?
28
Calculate the remainder when 1369523 is divided by 113.
76
What is the remainder when 2203703 is divided by 734538?
89
What is the remainder when 2495518 is divided by 720?
718
Calculate the remainder when 41259 is divided by 592.
411
What is the remainder when 1808305 is divided by 218?
213
What is the remainder when 1302347 is divided by 434052?
191
What is the remainder when 52253187 is divided by 10?
7
Calculate the remainder when 17110574 is divided by 2072.
2070
Calculate the remainder when 8665871 is divided by 41266.
11
Calculate the remainder when 212
|
{
"pile_set_name": "DM Mathematics"
}
|
ppose 3382 - 13810 = -79*q. What is the highest common divisor of 2772 and q?
132
Let s be (-400)/(-15) + (130/3)/13. What is the highest common factor of 3645 and s?
15
Let c = 9071 - 7553. What is the greatest common divisor of 264 and c?
66
Suppose 6*x - 62 = 180 + 46. Let o(c) = 13*c**2 - 5*c + 4. Let y be o(4). What is the greatest common factor of x and y?
48
Suppose 2*s = -4*r - 2, -2*r = -s + 9 - 2. Let u(c) = 15*c + 72. Let g be u(21). Suppose -g - 273 = -20*v. What is the highest common divisor of s and v?
3
Let g(h) = 7*h + 46. Let t be g(-3). Calculate the highest common divisor of t and 4075.
25
Let q(y) = -y**2 + 11*y - 39. Let z be q(8). Let f be (171/z)/(21/(-70)). Calculate the highest common factor of 304 and f.
38
Let l be 136/12*(-918)/(-12). Suppose -5*w + 168 + l = 0. What is the greatest common divisor of w and 46?
23
Let i(x) = x**3 + 5*x**2 - 4*x + 1. Let b be i(-5). Let l = -39257 + 39306. What is the greatest common divisor of b and l?
7
Let j(c) = -5*c + 17. Let z be j(3). Suppose z*h = -5 + 27. Suppose 7*p - 3*p + 3*m - 53 = 0, 0 = -3*p + m + 30. What is the highest common factor of p and h?
11
Let h(d) = -45*d - 42. Suppose 4*n + 4*k = 5*k - 4, n = -5*k - 22. Let o be h(n). Suppose 4*m + m - 40 = 0. What is the greatest common divisor of m and o?
8
Let o(a) = 4*a**2 - 130*a + 46. Let f be o(-18). What is the greatest common divisor of 14 and f?
14
Let v(r) = 26*r + 344*r - 70*r + 108. Let a be v(3). Calculate the highest common factor of 42 and a.
42
Suppose 10*t - 250378 - 34776 + 67444 = 0. Calculate the highest common divisor of t and 9.
9
Let i = 91 - 87. Suppose -i*z - 4*z = -8. Let p be (2 - 1 - (2 + z))*-23. What is the greatest common divisor of 46 and p?
46
Suppose -25677 - 63045 = -186*g. What is the greatest common divisor of g and 5883?
159
Let k(i) = 13*i + 638. Let a be k(4). What is the greatest common divisor of a and 120?
30
Let b(c) = -70*c**2 + 3*c + 3. Let r be b(-1). Let t = 838 + r. What is the highest common factor of 24 and t?
24
Suppose w = -3*m + 87362, -39*m + 11*w + 58183 = -37*m. What is the greatest common divisor of 37 and m?
37
Suppose -6*a - 4296 + 4764 = 0. What is the greatest common divisor of a and 30?
6
Let o be (21*(-11)/(-12))/((-4)/(-32)). Suppose t - 25 = -q + 2, 139 = 5*t + q. Calculate the highest common divisor of t and o.
14
Let z = 10 + 44. Let g(v) = -v**2 - 78*v + 1516. Let f be g(16). What is the highest common factor of f and z?
6
Let i be 16/(-24) - ((-165847)/(-3))/(-11). Calculate the greatest common factor of 75 and i.
75
Suppose v + 57 + 242 = 0. Let h be 1/(-4) + 1/4*v. Let d = -59 - h. Calculate the highest common divisor of 144 and d.
16
Let a be 0 - -1 - -44 - 0. Let s be a*(-1)/((-6)/2). Suppose -13*b - 480 = -4*p - 14*b, p - 2*b - 120 = 0. What is the highest common divisor of p and s?
15
Let m = 108 + -58. Let b be -3 + (7 - 8) + (1 - 2). Let c be b/((-80)/(-12)) - 1006/(-8). Calculate the greatest common factor of m and c.
25
Let k be ((1800/(-42))/3)/((-4)/70). Let r = -13 + 17. Suppose 5 = d - t + 2*t, -35 = -r*d - t. What is the highest common factor of d and k?
10
Let t = 3619 + -3464. Calculate the greatest common divisor of t and 10.
5
Let c = 7701 - 2391. Calculate the greatest common divisor of c and 90.
90
Let k = -26479 - -26487. Calculate the highest common factor of k and 1622.
2
Let l(m) = -m**3 + 10*m**2 - 10*m. Let z be l(8). Let g(b) = b - 9 - 7 - 7 + z. Let u be g(-17). Calculate the greatest common divisor of 16 and u.
8
Suppose 0 = -40*m - 408 + 1688. Suppose 0 = m*j - 5861 + 2021. Calculate the greatest common factor of 15 and j.
15
Let t = 146 + -42. Suppose 2 + 423 = -5*a. Let q = 93 + a. What is the highest common factor of t and q?
8
Suppose 4*u - 13 = 3. Suppose 77 - 1089 = -u*v. Let q be -2*(-4 + (-30)/4). What is the greatest common divisor of v and q?
23
Let k(m) = 3*m**2 + 141*m - 167*m + 113 - m**2. Let p be k(6). Calculate the greatest common divisor of p and 377.
29
Let r be (-1)/7 - 4*549/(-84). What is the greatest common divisor of 6318 and r?
26
Let h be ((-10)/(-8) - 4/8)*12. Suppose -5*y = -u + 17, 4*y + 109 = 2*u + h*y. What is the highest common factor of u and 105?
21
Let u(k) = -k**3 - 7*k**2 - 9*k. Let y = 25 - 31. Let m be u(y). Let a = -21 - -30. Calculate the greatest common factor of m and a.
9
Let x(b) = -16*b**2 + 23*b + 44. Let f be x(2). What is the highest common factor of 28054 and f?
26
Let l(v) = 2*v**2 - 18*v. Let h be l(-8). Let i be (-1 - 0)/(4 - 5992/1496). Let m be (i/44)/(3/(11 - -1)). Calculate the greatest common factor of m and h.
17
Suppose -178 + 3629 = 68*l + 391. Let t be (-14165)/(-35) + (-2)/(-7). Calculate the highest common factor of l and t.
45
Suppose 0 = -18*p + 1260 + 288. Suppose -p = -5*f - n, -f + 7*n + 38 = 2*n. Calculate the highest common factor of 144 and f.
18
Suppose 18 = 23*l - 17*l. Let t be (-10 - 279/(-36))*(-8)/l. Suppose -4*u = -2*g - 2*g + 48, 5*g + 4*u = 24. What is the greatest common factor of t and g?
2
Suppose -4*t + 3*h = -574, 616 = 3*t + 5*h + 171. Let z = 559 - 536. Suppose -3*v + z = -t. Calculate the greatest common factor of 14 and v.
14
Suppose -1155 = -2*w - n, -4*n + 588 = -41*w + 42*w. Suppose 0*l + l - h - 15 = 0, 5*l - 78 = 4*h. Calculate the highest common factor of w and l.
18
Let f be (-263)/(7 + (-8)/18*16). What is the greatest common divisor of f and 9?
9
Let q be -11 + 10 + 8 + 334. What is the highest common divisor of q and 440?
11
Let k(r) = -15 - 4 - 67 - 3 - 23*r. Let g be k(-4). Calculate the greatest common divisor of g and 5.
1
Let y(w) = 4*w + 68. Let n be y(-15). Suppose -3*b + 8*b = -5*z + 15, 3*z = -2*b + 9. Suppose -5 - 19 = -z*s. Calculate the highest common factor of n and s.
8
Suppose -373 = -4*n + x, 4*n = -2*x + 553 - 183. Let d be n/(-24) - -4 - (-10355)/40. Calculate the highest common divisor of 37 and d.
37
Let a be (-119 - 1)*30/(-45). Suppose -8*l - 30 = -o - 3*l, 0 = -2*o - 3*l + 112. What is the highest common divisor of o and a?
10
Let v(n) = 9*n**2 - 1174*n + 8. Let k be v(131). Calculate the highest common divisor of 68 and k.
17
Let o = 30 + -20. Let x be 1004/o + (-5)/((-75)/(-6)). Let u = x + -52. What is the highest common divisor of 32 and u?
16
Let k = -73 + 98. Let u = 77 + -52. Calculate the highest common divisor of k and u.
25
Suppose -3 = -5*n - 8, 2*a = 5*n + 635. Let k be -2*1*a/(-42). Let v = 273 - 153. What is the greatest common divisor of v and k?
15
Let q be (-4)/8 - (-121)/2. Let s be (-2)/(7 - 426/q). What is the highest common divisor of 190 and s?
10
Let l be (-18)/(-10)*-5 + 422. What is the highest common factor of l and 472?
59
Let z = -41 - -46. Let h be (-54)/(-15) - 3/z. Calculate the highest common factor of 1 and h.
1
Let k(o) = -24*o. Let g be k(-2). Let v be (-3 - (-1062)/8)/((-6)/(-56)). Suppose v = 17*j - 421. What is the greatest common divisor of j and g?
48
Suppose -3*o = -2*l - 23, -2*o + 3*l = -4 - 18. Suppose -985 = -o*c + 50. Calculate the highest common divisor of c and 23.
23
Let c(a) = 2*a**2 + 7*a + 8. Let z be c(-1). Suppose -54*k - 945 = -63*k. What is the highest common factor of k and z?
3
Let p be 54/(-54)*(0 + -1). Let x be (p - -29)/(36/24). What is the greatest common factor of x and 40?
20
Let v be 12285/1323 + (-2)/7 + 1072. Calculate the greatest common divisor of 2021 and v.
47
Let t(a) = 1218*a**2. Let d be t(1). Calculate the greatest common divisor of 42 and d.
42
Let s be 19/38 - (1864/(-16) + (-6)/2). Calculate the highest common divisor of 396 and s.
12
Let o(h) = -36*h**3 + 5*h**2 - 21. Let z be o(-4). Calculate the highest common divisor of z and 51.
17
Let i = -5 + 1. Let w be i/6*(-12)/4. Suppose -a = -5*h + 674, 140 = w*h - 5*a - 125. What is the greatest common factor of h and 15?
15
Suppose 4*o = -b + 114, -115*b = 5*o - 118*b - 134. Calculate the greatest common factor of 1204 and o.
28
Suppose 5*d - 35 = 5*g - 115, 4*g + 3*d = 36. Let j(c) = c**2 - 13*c + 47. Let f be j(g). Let x = 5 + 23. Calculate the greatest common factor of f and x.
7
Suppose -4603 + 696 = -14*q - 211. Calculate the greatest common factor of q and 363.
33
Suppose 7*r + 6 = 8*r. Suppose -4*u - q = 16, -4*u + r*q - 8*q = 12. Let l be u/(45/(-24))*(55 - 1). Calcul
|
{
"pile_set_name": "DM Mathematics"
}
|
is the units digit of 1220040?
0
What is the ten thousands digit of 1107229?
0
What is the tens digit of 23294?
9
What is the hundred thousands digit of 7416638?
4
What is the millions digit of 12993531?
2
What is the ten thousands digit of 985857?
8
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1
What is the tens digit of 133598?
9
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5
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5
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5
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1
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7
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0
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5
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1
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2
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3
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8
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3
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6
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6
What is the thousands digit of 363540?
3
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8
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5
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1
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8
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3
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1
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6
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8
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1
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1
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6
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0
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2
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7
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0
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9
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1
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5
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7
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5
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9
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0
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5
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4
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2
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2
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5
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8
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4
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4
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1
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1
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2
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7
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3
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7
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5
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3
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4
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5
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3
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6
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7
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0
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1
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6
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6
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2
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5
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5
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1
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8
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3
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7
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1
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3
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0
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3
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4
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1
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3
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9
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5
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5
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7
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6
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7
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0
What is the units digit of 10938925?
5
What is the hundreds digit of 630964?
9
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7
What is the ten thousands digit of 1148030?
4
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4
What is the hundred thousands digit of 786232?
7
What is the tens digit of 265081?
8
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9
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5
What is the thousands digit of 1192052?
2
What is the thousands digit of 1049114?
9
What is the millions digit of 6226463?
6
What is the units digit of 4514320?
0
What is the tens digit of 30777708?
0
What is the thousands digit of 297905?
7
What is the units digit of 500686?
6
What is the units digit of 11871150?
0
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0
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3
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5
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8
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0
What is the ten thousands digit of 92323?
9
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9
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0
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3
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3
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3
What is the ten thousands digit of 31900101?
0
What is the ten thousands digit of 8822622?
2
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5
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6
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9
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0
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4
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8
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2
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3
What is the hundreds digit of 18852126?
1
What is the units digit of 378987?
7
What is the hundred thousands digit of 198711?
1
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2
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5
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2
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1
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4
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7
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2
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4
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3
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1
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2
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0
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2
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1
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5
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2
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5
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6
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9
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6
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0
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1
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5
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4
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3
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7
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3
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3
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8
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2
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0
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5
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2
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9
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0
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2
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1
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7
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2
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8
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9
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1
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2
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9
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9
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6
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2
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6
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6
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6
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1
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5
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6
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0
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7
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5
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2
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9
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7
What is the thousands digit of 59930?
9
What is the ten thousands digit of 5235230?
3
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3
What is the thousands digit of 13433453?
3
What is the hundred
|
{
"pile_set_name": "DM Mathematics"
}
|
Let n(z) = -2*z. Determine n(b(j)).
-44*j**2
Let g(v) = -v. Let n(t) = -4134*t + 6. Calculate g(n(a)).
4134*a - 6
Let v(n) = -6*n. Let w be (598/(-69))/(2/(-3)). Let s(b) = 17*b**2 + w*b**2 - 29*b**2. Calculate v(s(t)).
-6*t**2
Let p(q) = 7*q. Let t(g) = -45 + 88 - 43 - 11*g**2 - 5*g**2. Determine t(p(v)).
-784*v**2
Let x(f) be the first derivative of 5*f**3/3 - 1. Let s(g) = -20*g + 15. Let a(m) = -3*m + 2. Let u(v) = 15*a(v) - 2*s(v). Determine x(u(l)).
125*l**2
Let w(v) = 419701*v**2. Let n(t) = 5*t. Determine n(w(p)).
2098505*p**2
Let z(o) = 4*o. Let u(g) = 262*g**2 + 2*g + 14. Determine z(u(y)).
1048*y**2 + 8*y + 56
Let j(x) = 16*x**2. Let y(b) = -26*b + 6. Give y(j(n)).
-416*n**2 + 6
Let w(c) be the first derivative of c**2 + 328 - 332 - 4*c + 4*c. Let q(g) = 5*g**2. Determine q(w(p)).
20*p**2
Let c(o) = -2*o**2 - 12*o. Let z(b) be the third derivative of b**4/24 - 102*b**2 + 2*b. Determine z(c(k)).
-2*k**2 - 12*k
Let s(v) = 56*v - 1 - 1 - 73*v + 2. Let k(m) = -24*m. Give k(s(q)).
408*q
Let z(j) = -16*j**2 - j. Let f(p) = -39*p**2 - 2*p. Let v(n) = -f(n) + 2*z(n). Let u(t) = -3*t**2 + 11*t. What is u(v(y))?
-147*y**4 + 77*y**2
Let c(n) = 2*n. Let w(s) be the second derivative of -s**3/2 + 47*s. What is w(c(i))?
-6*i
Let n(m) be the first derivative of 10 + m**3 + 13 - 4 - 1. Let k(c) = -7*c. Determine k(n(j)).
-21*j**2
Let m(r) be the third derivative of 1/8*r**4 + 0 + 25*r**2 + 0*r + 0*r**3. Let x(n) = n**2. Calculate m(x(l)).
3*l**2
Let l(s) = 16*s**2 - 41*s**2 + 21*s**2. Let p(u) = -3*u + 1. Calculate p(l(v)).
12*v**2 + 1
Let k(b) = -3*b**2. Let o(c) = 21136*c. What is k(o(v))?
-1340191488*v**2
Let q(s) = -3*s. Let d(a) = -13*a**2 + 877*a + 2. Determine q(d(b)).
39*b**2 - 2631*b - 6
Let k(f) = -22970*f. Let a(n) = -114*n**2. Determine a(k(i)).
-60148782600*i**2
Let x(j) = j. Suppose 4*t = 3*p + 12, 5*p + 5 - 7 = 3*t. Let c(d) be the third derivative of -1/15*d**5 + 0*d - t*d**2 + 0*d**4 + 0 + 0*d**3. Give c(x(s)).
-4*s**2
Let n(d) = 2*d. Let l(u) = -14 + 20 - 6 + 283*u. Determine n(l(j)).
566*j
Let b(i) be the first derivative of -4*i**3/3 + 69. Let f(q) = 6*q**2. Calculate f(b(a)).
96*a**4
Let m(o) = -412*o. Let y(v) = -7*v + 20*v + v + v - 16*v. Give m(y(b)).
412*b
Let j(z) = -3*z. Let m(q) be the third derivative of q**4/24 - 5*q**3/2 - 444*q**2. Give j(m(x)).
-3*x + 45
Let d(r) be the third derivative of -r**5/30 + 3*r**2. Let t(b) be the second derivative of b**3/3 - 27*b. Determine t(d(g)).
-4*g**2
Let l(q) be the third derivative of q**5/30 + q**2. Let d(a) = a + 8. Let p be d(-3). Let s(n) = 6 + 8*n - 1 - p. Give s(l(w)).
16*w**2
Let p(v) = 15*v. Let h(b) be the third derivative of b**5/60 - 8*b**2 + 7*b. Determine h(p(a)).
225*a**2
Let d(s) be the third derivative of 6*s**2 + 0*s**3 + 0*s + 0 + 1/24*s**4. Let n(l) = 5*l**2. Calculate d(n(x)).
5*x**2
Let i(w) = -22*w + 1. Let d(h) = 2*h + 33. Give i(d(m)).
-44*m - 725
Let o(y) = -21*y + 836. Let d(a) = -a**2. Give o(d(b)).
21*b**2 + 836
Let l(q) = -10*q**2. Let a(x) = -2*x**2 - x**2 - 6*x**2 + 0*x**2. Calculate a(l(g)).
-900*g**4
Let y(p) = -2*p. Suppose -4*t - 5*q - 12 = 0, -1 = 3*t + 3*q + 5. Let w(n) = -17*n + 10*n - n**2 + 3*n**t + 3*n**2. Give w(y(a)).
20*a**2 + 14*a
Let w(k) = 17*k + 8. Let t(i) = 66*i + 30. Let c(u) = 4*t(u) - 15*w(u). Let l(n) = 4*n**2. What is c(l(z))?
36*z**2
Let a(v) = -v + 1. Let z be (-5)/(-35)*(-2 + 9). Let l(w) = -11*w + 6. Let f(s) = z*l(s) - 2*a(s). Let m(h) = -h. What is m(f(y))?
9*y - 4
Let v be -2*8/(-20)*35/4. Let p(z) = -v*z**2 - 238*z + 238*z. Let h(d) = d**2. What is p(h(x))?
-7*x**4
Let z(x) = 22*x**2. Let f(t) = -17404*t. Calculate z(f(h)).
6663782752*h**2
Let f(q) = -6*q**2. Let v(l) = -10223 - 110*l + 10223. What is v(f(i))?
660*i**2
Let f(h) = -h. Let s(p) = 11 + 23 + 13 - 51 - 37*p. What is s(f(k))?
37*k - 4
Let v(t) = 33*t**2. Let a(p) = 2*p**2 - 40. Let u(q) = -5. Let g(b) = a(b) - 8*u(b). Determine v(g(m)).
132*m**4
Let t(l) = -8*l**2. Suppose 3*r - 9 + 6 = -5*s, 0 = s + r - 1. Let z(p) be the first derivative of s*p + 1/2*p**2 - 5. What is t(z(j))?
-8*j**2
Let r(g) = -2*g. Let i(x) be the third derivative of x**4/6 - 11*x**3/3 - 3*x**2 + 5. Determine r(i(h)).
-8*h + 44
Let k(d) = -2*d. Let m(r) = 4*r - 7690. What is m(k(i))?
-8*i - 7690
Let n(v) = -5*v**2. Let h be (-6 - (3 - 2)) + 2. Suppose -11 = 7*z + 10. Let d(y) = -y. Let t(i) = 2*i. Let j(p) = h*d(p) + z*t(p). Calculate n(j(g)).
-5*g**2
Suppose 0 = 35*j - 31*j - 8. Let y(s) = 7*s**2 + 9. Let t(d) = 2*d**2 - d + 2 + d. Let w(x) = j*y(x) - 9*t(x). Let i(f) = f**2. What is i(w(p))?
16*p**4
Let r(x) be the first derivative of x**3 + 13. Let p(h) = -12*h. Determine r(p(s)).
432*s**2
Suppose -14 = 80*c - 87*c. Let v(f) = 91*f**c - 45*f**2 - 38*f**2. Let g(w) = -3*w. Give v(g(p)).
72*p**2
Let h(u) = 2*u - 15. Let c(z) be the first derivative of z**2 + 369. What is h(c(q))?
4*q - 15
Let z(t) = 7*t**2. Let p(s) = 2*s - 2. Let j(x) = -4*x + 6. Let f(n) = j(n) + 3*p(n). Give z(f(b)).
28*b**2
Let r(l) = -417*l. Let f(v) = -211*v**2. Give r(f(t)).
87987*t**2
Let s(f) = -442*f**2. Let n(m) = m. Let a(b) = 2*b**2 - 12*b. Let p(l) = a(l) + 12*n(l). Give s(p(o)).
-1768*o**4
Let g(x) = 9*x. Let v(p) = -3*p**3 + 2*p**3 - 10*p**2 - 1 - 2*p + 4 + 7. Let z be v(-11). Let k(u) = -153 + z - 2*u. Calculate k(g(d)).
-18*d
Let n(t) = t - 8. Let l(y) = -y + 4. Let w(u) = 9*u - 33. Let g(s) = -33*l(s) - 4*w(s). Give n(g(q)).
-3*q - 8
Let t(o) = 1778720*o - o**2 - 1778720*o. Let n(d) be the third derivative of d**4/24 - d**2. Give t(n(f)).
-f**2
Let x(o) be the third derivative of -o**4/8 - o**2 - 81*o. Let k(h) = -h - 5*h**2 + h + 6. Let w(i) = -i**2 + 1. Let b(y) = k(y) - 6*w(y). Give x(b(q)).
-3*q**2
Suppose 2*z - 3*z - 13 = 0. Let l = -10 - z. Let g(d) = l*d**2 + 2*d**2 - 3*d**2. Let h(r) = 7*r**2. Calculate g(h(v)).
98*v**4
Let v(p) = 2*p. Let f(r) = 2*r + 2. Let w(l) = -85*l - 90. Let x(u) = 90*f(u) + 2*w(u). Give v(x(j)).
20*j
Let i(q) = -3*q + 16. Let a(n) be the first derivative of -3*n**2/2 + 16*n + 20. Let s(o) = 4*a(o) - 5*i(o). Let f(m) = -m**2. What is s(f(h))?
-3*h**2 - 16
Let v(l) = 9*l**2. Let y(n) be the first derivative of n**3/6 + 3*n - 12. Let s(d) be the first derivative of y(d). What is v(s(q))?
9*q**2
Let c(p) = -p**2. Let x(f) be the third derivative of -31*f**5/60 - f**3/3 + 35*f**2. Give c(x(s)).
-961*s**4 - 124*s**2 - 4
Let k(m) = -730*m**2 - 741*m**2 + 1479*m**2. Let w(s) = -43*s**2 - 2. Determine w(k(a)).
-2752*a**4 - 2
Let m = -29 - -25. Let u be (2/(-5))/(m/20). Let v(t) = -t**2 - 4*t**2 + 3*t**u. Let h(i) = -2*i**2. Determine h(v(p)).
-8*p**4
Let o(a) = 764*a**2. Let j(l) be the first derivative of l**3/3 - 45. Calculate j(o(b)).
583696*b**4
Let m(p) = -2*p**2 + 98. Let i(q) = -101*q**2 + 207*q**2 - 108*q**2. Give m(i(w)).
-8*w**4 + 98
Let r(v) = -4*v. Let i(u) be the third derivative of u**4/12 - 2*u**3/3 - 406*u**2. Calculate i(r(d)).
-8*d - 4
Let w be -3*(-5)/(-3) + 7. Let g(z) = -785 + z**w + 785. Let u(k) = 51*k. Give u(g(v)).
51*v**2
Let l(o) = 13*o + 4. Let m(i) be the first derivative of i**2 - 86. Determine l(m(r)).
26*r + 4
Let l(o) = -3*o**2 - 33*o - 12*o + 2*o**2. Let a(q) = -3*q + 13755 - 27504 + 13749 + 4*q. Give l(a(g)).
-g**2 - 45*g
Suppose 5*d - 199 = -4*b, -2*b - 5*d + 140 - 43 = 0. Let u(z) = -20*z - 13*z - 4 + b*z. Let n(j) = 2*j. What is n(u(f))?
36*f - 8
Let j(s) = -11*s. Let g(c) be the second derivative of 37*c**4/12 - 41*c + 1. Calculate j(g(q)).
-407*q**2
Let i(f) = 23836*f. Let z(p) = -2*p**2 + 22*p. Give i(z(u)).
-47672*u**2 + 524392*u
Let m(j) = -25*j**2. Let i(q) = 26059*q**2. What is i(m(x))?
16286875*x**4
Let g(c) = -6*c. Let z(j) = -62*j**2 - 3*j**2 + 56*j**2 + 55*j**2. Give z(g(w)).
1656*w**2
Let h(a) = -2*a. Suppose 3 = 5*z - 2, -3*l + 3*z = -9. Let s(j) = l*j + 14*j - j. What is h(s(r))?
-34*r
Let s(v) = 2*v - 2. Let c = 193 + -191. Let z = 28 + -17. Let f(t) = -10*t + 11. Let d(m) = c*f(m) + z*s(m). Let x(h) = -h. Determine d(x(g)).
-2*g
Let g(l) = 27*l + 3217 - 3217. Let d(w) = 10*w**2 - 6*w**2 - 6*w**2. Determine g(d(y)).
-54*y**2
Let h(c) be the first derivative of 10*c**2 + 1. Let k(n) be the first derivative of -n**3/3 - 1461. Calculate h(k(i)).
-20*i**2
Suppose -3*f + 5*f - 140 = 0. Let z(a) = -2*a + 69 - 139 + f. Let n(
|
{
"pile_set_name": "DM Mathematics"
}
|
y -34175.97948?
39672.97948
Work out 648.17639 - 2.95219.
645.2242
What is -29782761788292 - -3?
-29782761788289
-1345663 - 5698131
-7043794
What is the difference between -422.8 and 3754382?
3754804.8
Add 3.9 and 5439142330554.
5439142330557.9
Work out -0.17 + 68212465502.
68212465501.83
What is -134.91435 + 3041?
2906.08565
Sum 2535 and -1147220.175.
-1144685.175
Calculate 348829 - 3440293.
-3091464
-4304.071434+-44
-4348.071434
Subtract -0.2702 from -1356.90208932.
-1356.63188932
-3864.8 + 5533.509
1668.709
Subtract -1120.00243 from -3.0027.
1116.99973
Calculate 0 + 13321082600.22.
13321082600.22
Add 262.19970110633 and -0.02.
262.17970110633
Subtract 396179173480 from 37.
-396179173443
What is 7318063 - -173603?
7491666
What is -84692287547513 + -0.1?
-84692287547513.1
Calculate 2848453.7 + -11303.
2837150.7
Work out 0.1 - 15960289509.
-15960289508.9
What is -0.72 - -2862891424577?
2862891424576.28
What is 0.5 plus -949447246.4322?
-949447245.9322
Work out 12 + 20326647359.032.
20326647371.032
What is 2055253.3907 take away 479.6?
2054773.7907
-16108+703057571
703041463
2816 + -250634212
-250631396
Put together 590622307657 and 7.
590622307664
2 - 195979958826
-195979958824
1327155.93 + 51009
1378164.93
Subtract 64862.96906813 from 2.
-64860.96906813
-3+1233551235389
1233551235386
Total of 4 and 0.849693991641.
4.849693991641
-0.1+562262525549
562262525548.9
Subtract 108060160941 from -148.
-108060161089
What is 61421 + -11.710042?
61409.289958
33.41+0.020212992
33.430212992
Total of -8322909 and -48.06971.
-8322957.06971
What is -326580.352 take away -110169?
-216411.352
-1542456+-2214523
-3756979
Work out -582686.4 - -13.294.
-582673.106
Put together -4557563 and -849.74064.
-4558412.74064
What is -0.8614821181 less than -141?
-140.1385178819
What is -28587 - 0.1055765?
-28587.1055765
Calculate 0.11 - 88197.4444.
-88197.3344
126535.9304 + 357811
484346.9304
What is -0.1559 + -94371060?
-94371060.1559
665085445527649 + 4
665085445527653
What is -3889555744 + -88.5?
-3889555832.5
What is 56440376832 less than 32?
-56440376800
Put together 0.5 and 28069077238538.
28069077238538.5
What is -13155.50975 minus 9.1?
-13164.60975
Work out 259115221 + 5571.
259120792
Put together 250.52342378 and -0.109.
250.41442378
Add -9707 and -255726171.
-255735878
Put together 83.347079 and -0.0341.
83.312979
Calculate -138677 - 28759.771.
-167436.771
955781084101 - -0.02
955781084101.02
Sum 995477.999 and -209.09.
995268.909
What is -95.9341 less than -528.898?
-432.9639
-22203370731+-1.24
-22203370732.24
Work out 160384.944 - -12.1.
160397.044
What is the difference between 60759.42 and 26.7?
60732.72
Total of -42.3674162879 and 5.
-37.3674162879
Sum 2174073 and -716.283.
2173356.717
Work out 234038 - 573032.4.
-338994.4
-755.4018756139 - -0.1
-755.3018756139
What is -2 plus 20762.06387336?
20760.06387336
-14 - 28640505025273
-28640505025287
Work out -420714741228.19 + -1.
-420714741229.19
Work out 0.18 + -253917.906835.
-253917.726835
Work out 10471817619295 - 43.
10471817619252
What is 147993 plus 0.0819176739?
147993.0819176739
What is 2399021 less than -5341030?
-7740051
Total of -0.4 and 85644699406.
85644699405.6
What is 92344462120.3 minus 14?
92344462106.3
Work out -335241082402865 - -0.1.
-335241082402864.9
-756191391106 - 894
-756191392000
What is -7.55 + 6658554376?
6658554368.45
Sum 2930142.4557 and -1235.
2928907.4557
62321682 + -53694
62267988
-7364828 - 2623.613
-7367451.613
Add together -39481281 and -4569.855.
-39485850.855
What is -10001778 plus -83.431?
-10001861.431
What is -6 less than 4.7284736619?
10.7284736619
What is the difference between -118083148.15 and -0.11123?
118083148.03877
-4 - -266818064409
266818064405
What is 1440 take away -0.06430963058?
1440.06430963058
What is -1171857.10044529 minus -5?
-1171852.10044529
What is 0.1076132 - 5422852?
-5422851.8923868
Add 526 and 347.8883524.
873.8883524
Subtract 6.9145 from -1990.6232.
-1997.5377
Sum -2.8892237572743 and 2.
-0.8892237572743
What is 424198.69 + 1.214612?
424199.904612
Add 41477120309 and -2445.
41477117864
Calculate 2.879 - 96972352.
-96972349.121
Put together -1989406223311.2 and 0.5.
-1989406223310.7
Subtract 1318.15 from 0.049250026.
-1318.100749974
What is 0.11206 minus 26115344?
-26115343.88794
What is -19.4 plus -2202845902?
-2202845921.4
What is 310.7713721 minus -0.21?
310.9813721
Subtract 289963.88 from 0.2058.
-289963.6742
What is 8433397 minus 7490953?
942444
Add 545947377.116 and -0.53.
545947376.586
Add together -56431.14 and 129.7883.
-56301.3517
Add 107617 and -2139111849.
-2139004232
Total of -80712590475 and -0.3.
-80712590475.3
-36410.4588163 + 1.78
-36408.6788163
Put together -661.302 and 0.381259.
-660.920741
Add together -0.208 and 0.1172641854.
-0.0907358146
What is 0.20332 - -1.37356692?
1.57688692
What is 0.027 take away -41802942.097?
41802942.124
What is the difference between 5398.1 and 38670069?
38664670.9
What is 34632487.8 + 13283.6?
34645771.4
What is 98442.25725 plus 0.05?
98442.30725
Work out -3 + -674745.8364045.
-674748.8364045
Total of 1 and -5131735360.3.
-5131735359.3
What is -4.96749 less than 31411053?
31411057.96749
Calculate 0.13537684 + -4.3583.
-4.22292316
Work out 1.4954 + -481949384.
-481949382.5046
Work out -8444828594 - 643.
-8444829237
What is 41693484.242 minus -29?
41693513.242
Subtract 151600124.381 from -0.25.
-151600124.631
Work out 16670991318792 + 0.1.
16670991318792.1
What is the difference between 380931 and -20.1959?
380951.1959
What is 0.022 less than -4470366827?
-4470366827.022
Total of -3.36434 and -15202.213.
-15205.57734
What is 1638550 take away -413818?
2052368
Subtract -0.4 from -937268941619.
-937268941618.6
What is 16.651 take away 1620.067491?
-1603.416491
What is the distance between 0.72 and 32030777919?
32030777918.28
Subtract 6769.95831995 from -2.
-6771.95831995
Sum -0.0526082 and 1635694.31.
1635694.2573918
Sum 33.3533131 and 15077.
15110.3533131
What is 28359 + 97380980?
97409339
Calculate 1 - -92905747415.
92905747416
What is the distance between -0.295907918 and 0.016?
0.311907918
What is 5864.61888408975 minus 0.3?
5864.31888408975
Work out -32 + -1299235451.4.
-1299235483.4
What is -11246611388 + -65?
-11246611453
Calculate -1092487 - 484488.
-1576975
Work out -29504695796 - -0.069.
-29504695795.931
Add 24 and 1205.77067849.
1229.77067849
What is 569739 plus 4.3613?
569743.3613
Work out -216928183338 + 34.
-216928183304
What is -1349101.794 minus -4282?
-1344819.794
Add together -0.06767042164072 and -2.
-2.06767042164072
What is the difference between 15.89550625037 and 0?
15.89550625037
What is -6287.62039 take away -0.119?
-6287.50139
Subtract 13966810481 from -0.4.
-13966810481.4
Work out -0.2 + -0.05569341773687.
-0.25569341773687
Subtract -398711 from 5703799.
6102510
Work out -1.069 + -251.683396.
-252.752396
What is 49.26434618639 + 0.05?
49.31434618639
What is 229860597285853 take away -1?
229860597285854
What is the distance between -145203419.8 and 51066?
145254485.8
What is the distance between 0.2 and 0.3968885806708?
0.1968885806708
Subtract 3140232 from -77.464.
-3140309.464
What is 137857246166 - 4?
137857246162
What is -0.1 minus -21063295418859?
21063295418858.9
What is -102223949.61 take away -71.5?
-102223878.11
What is -162278 + -248346612?
-248508890
What is the difference between 410009750986 and 0.033?
410009750985.967
Work out -0.7 - 0.10158635947.
-0.80158635947
What is -1196 take away -0.45713143254?
-1195.54286856746
What is -0.4 plus -0.0026801742263?
-0.4026801742263
0.3069+-6928791.6
-6928791.2931
Subtract -20955802555 from 263.38.
20955802818.38
Work out 36385 - 189531410.5.
-189495025.5
-15.2 + -3098531327
-3098531342.2
What is the difference between -176346.7925 and -0.07061?
176346.72189
Total of 118.6 and 3378.7835006.
3497.3835006
What is -1486.172 less than -13915?
-12428.828
Calculate 29435568 + 0.283.
29435568.283
Work out 7247 + -71520957.
-71513710
Calculate 0.24 - -135385947.5198.
135385947.7598
What is 0 - 5007268355793?
-5007268355793
What is 0.2246 less than 0.132099542107?
-0.092500457893
-1565746886 - -0.228
-1565746885.772
What is 2.35 - 378476507.668?
-378476505.318
What is 1077 take away 491632469.4?
-491631392.4
2509469020.72+7
2
|
{
"pile_set_name": "DM Mathematics"
}
|
1/8 and d.
8
Let u = -1908 + 22915/12. Calculate the common denominator of 73/18 and u.
36
Let a(c) = -9*c. Suppose -15*q + 11*q + 56 = 0. Calculate the lowest common multiple of a(-2) and q.
126
Suppose -574 = 5*o - 19. What is the common denominator of ((-5)/5 + 38)*3/(-6) and (-2 + 0)/(28/o)?
14
Suppose 2*l - 4*l - 11 = -3*z, 2*z = -5*l + 39. What is the lowest common multiple of 7 and z?
7
Let u(x) = 4*x - 6. Let b = -9 + 11. What is the smallest common multiple of u(4) and b?
10
Let b = 5041 + -90761/18. Calculate the common denominator of b and 113/20.
180
Suppose -5*h - 2218 + 218 = 0. What is the least common multiple of 4 and h/(-70) + (-4)/(-14)?
12
What is the common denominator of 15/50*(13 - 2) and -79/12?
60
What is the common denominator of (133/(-5))/((-84)/(-35)) and 83/22?
132
Suppose -4*t + 68 = 3*g, -3*g + 2*t = 3*t - 62. What is the smallest common multiple of 15 and g?
60
Let h(n) = 3*n - 20. Calculate the least common multiple of 14 and h(14).
154
Let p = -2224484572/151 + 14731972. Let q = p - 7158323/1812. Let f = 3671 + q. Find the common denominator of f and 61/20.
60
What is the smallest common multiple of 64/(-10)*(-285)/38 and 27?
432
Find the common denominator of 4 + -4 + (-14)/22 and -45/2.
22
Suppose -3*p - 2*z - 38 = 0, 3*p + 33 = 5*z + 2. Let w be ((-2)/28)/(p/143859). Let b = w + -6072/7. Find the common denominator of b and -13/16.
16
Let k = 0 - 3. Let n be (-1 - k)*(-1)/(-1). Calculate the smallest common multiple of 2 and (6 + n)/(4/10).
20
Let z = 104 + -59. Suppose -30 = -5*x + z. Suppose o - 3*h = -0 - 1, -5*h + x = 5*o. What is the lowest common multiple of o and 2?
2
Let y(j) = j**3 + j**2 - 2*j + 2. What is the least common multiple of y(2) and 8?
40
Let o = 4309/4 + -17145/16. What is the common denominator of -71/18 and o?
144
Suppose -3*g = -21 + 9. Suppose -g = 4*w - 5*w + 2*y, -y - 9 = -4*w. What is the smallest common multiple of w and (-2)/6 - (-55)/3?
18
Let q = -8682 + 86719/10. Let x be (94/(-4))/((-2)/8). Calculate the common denominator of q and (x/(-32))/(3/6).
40
Let m = -46/21 - -1657/210. What is the common denominator of 61/22 and m?
110
Let m = 7529/7320 - 29/120. Let c = m + -3133/183. What is the common denominator of -7 and c?
3
Let u = -10922/11 + 3979/4. Calculate the common denominator of u and 21/20.
220
Let t(x) = -x**3 + 10*x**2 - 7*x + 12. Calculate the lowest common multiple of 6 and t(9).
30
What is the common denominator of 14/((-91)/(-17) + 6 + -9) and -77/2?
20
Let b = -216023/19110 + 8/1911. Find the common denominator of (-4 - 63/(-16))/(1/(-30)) and b.
40
What is the common denominator of 31/13 and (-432)/(-308) - 1/(-7)?
143
Suppose -2*r + 2*p + 2 = 4*p, 0 = -3*r + 5*p - 5. Let q = r - -8. Suppose 8*k - 4*k + 3*u = 59, -4*k + 54 = -2*u. What is the least common multiple of q and k?
56
Let g = -5 + 5. Let c(k) = -k + 5. Let n be c(4). Let m = n + g. Calculate the lowest common multiple of 3 and m.
3
Let p(c) = c**2 - 1. Let j be p(1). Suppose -h + 4*u + 17 = 0, j = 4*h - 8*u + 4*u - 8. Find the common denominator of 51/4 and (h/(-36))/(2/604).
12
Let h = -427061/53010 + 2/2945. Find the common denominator of h and -71/12.
36
Let i = 62398/13 - 50001/65. Let z = i + -4043. What is the common denominator of 4/(-10) - (-344)/60 and z?
15
Let t(b) = b**3 - b + 1. Let x be t(0). Let g = -23 - -20. What is the common denominator of 71/9 and (-40)/g + (-1 - x)?
9
Let y be (-1)/(-2) - (-61)/(-2). Let k = -8 - y. What is the lowest common multiple of k and 10?
110
Suppose 0 = -8*f + 5*f - 63. What is the common denominator of ((-59)/3)/(f/9) and -7/11?
77
Let u = -3/11 - -37/55. Let c = -57/23 + -773/115. What is the common denominator of u and c?
5
Suppose q - 2*q + 18 = 0. Calculate the least common multiple of q and 24.
72
Let l(k) = -k**2 - 14*k - 33. What is the smallest common multiple of l(-7) and 22?
176
Let m = 1/480 - -167/480. Let l = -86521/16 + 5410. Calculate the common denominator of m and l.
80
Suppose -11 = 9*j + 7. Let w = 10 - 25. Calculate the least common multiple of j/3 - 160/w and 12.
60
Let i = 6 + 6. Suppose -i = -k + 5*k. Calculate the common denominator of 77/(-6)*(k - -2) and -61/4.
12
Let w = -3 - 9. Calculate the common denominator of -33/10 and 61/(-4)*w/9.
30
Suppose 0 = 9*w - 3*w - 120. Let o(l) = 6*l**3 + l**2 - 3*l + 1. Let j be o(2). Let z = j + -33. Calculate the least common multiple of z and w.
140
Let g = 576 + -558. Suppose -2*s = -0*s - 80. What is the smallest common multiple of s and g?
360
Let v(b) = -4*b - 95. Suppose -5*g - r + 9 = -16, -20 = -4*r. Calculate the least common multiple of g and v(-24).
4
Let p = -11 + 12. Calculate the common denominator of ((-2)/p)/(5/17) and (-2)/(-5) + 722/(-80).
40
Let q(p) = 2*p - 2. Let v be q(2). Suppose 3*f - 2223 = m, -1496 = -0*f - v*f - 4*m. Let z = f - 11865/16. Find the common denominator of z and -35/6.
48
What is the common denominator of 71/9 and (-1)/(-6) + 695/150?
45
Suppose 4*d + 12 = d. Let x(r) = -r**2 - 4*r + 5. What is the lowest common multiple of x(d) and 6?
30
Let k(a) be the first derivative of -a**3/3 - 5*a**2/2 + 3*a - 2. Suppose 3*y + 20 = 8. Calculate the least common multiple of k(y) and 2.
14
Calculate the smallest common multiple of 10 and (0 - 4/8)*-26 + -3.
10
Let n be (-12)/(-4) - 4150/1378. Let s = 79283/4134 + n. Calculate the common denominator of 9/2 and s.
6
Let f be (1 - (-1 - -1))*2. Let g be (-5)/2*(-34 - f). Find the common denominator of 23/10 and 419/g + (-6)/10.
90
Let q(a) = a**3 - 10*a**2 + 10*a. What is the lowest common multiple of q(9) and 10?
90
Calculate the lowest common multiple of 10 and (-4)/(2*(-4)/16).
40
Suppose 3*s = -g + 10, -5*g = s - 2*s - 2. Suppose -n + 16 = -3*j, -5*n + 2*j = -2*j - 36. Calculate the lowest common multiple of s and n.
12
Let o = -20 - -12. Let g = 5 + o. Find the common denominator of 69/16 and 31 - g/6*-1.
16
Let i = 42 + -169/4. What is the common denominator of 50/11 and i?
44
Let o(h) = h**2 + h - 12. Calculate the least common multiple of o(7) and 44.
44
Let g(b) = b**3 + 8*b**2 + 6*b + 6. Let j be g(-7). Suppose -k + 5*k = 80. Find the common denominator of 24/7 and 4/(-10) + j/k.
28
Calculate the lowest common multiple of ((-3)/(-6))/(2/44) and 3.
33
Let z = 2895523/4558336 - 325/512. Let c = 3303157/320508 - z. Let f = 62/9 - c. What is the common denominator of f and -85/12?
12
What is the common denominator of 13 and 1 + -1 + (-11)/(-4)?
4
Let z(g) = -g**2 - 9*g - 2. Let p be z(-9). Let y be -1303*2/20 + p. Let v = 132 + y. Find the common denominator of v and 44/3.
30
Let k = -14 + 17. What is the lowest common multiple of 4 and k?
12
Let b = -30 + 60. What is the lowest common multiple of 21 and b?
210
Calculate the common denominator of 56/11 and (26/8 - 0)/(19/(-19)).
44
Let x = -88161/5038 - 2/2519. What is the common denominator of x and (-2)/(-7) + (-235)/14?
2
Let m = 47 + -34. Let o = m + -9. Let l = 6 - o. What is the smallest common multiple of 1 and l?
2
What is the lowest common multiple of 4 and (-11 + 19)/((-2)/(-2))?
8
Suppose 5*m = 9*m - 252. What is the smallest common multiple of m and 30?
630
Let z = -1 + -3. Find the common denominator of 1/9 and (-39)/4 + z + -3.
36
Let p(z) = -z**2 - 4*z. Let r = 5 + -8. Let c be p(r). What is the common denominator of -13/9 and ((-3)/(-4))/(c/26)?
18
Let y be 4/14 + (-24)/182. Let m = 1/10314 + -3377861/268164. Let c = y - m. Calculate the common denominator of 49/20 and c.
20
Suppose -2*u + 36 = q, -u + 2*q + 72 = 3*u. Calculate the lowest common multiple of 9 and u.
18
Suppose -q - 3007 + 7382 = 0. Suppose 0 = 2*i + 3*i + q. Find the common denominator of -43/26 and -1*1 - i/(-84).
156
Suppose 5*c = 2*t - 13, -12*t = -9*t - 5*c - 17. Calculate the least common multiple of t and 9/(-6)*28/(-6).
28
Suppose -g = -4*c - 12, -c - 2 = -1. Let t = g - 4. Calculate the lowest common multiple of 22 and t.
44
Suppose 28 = -2*g + 6*g. Let a = 2 + g. What is the least common multiple of 1 and a?
9
Let a = -431 - -1681/4. Let p be (-2122)/(-28)*(-2)/(-4). Let k = p - 169/7. Find the common denominator of k and a.
4
Let g = 16 - 22. Let y = -3 - g. What is the least common multiple of 7 and y?
21
Suppose 0*z + 228 = 4*z. Calculate the smallest com
|
{
"pile_set_name": "DM Mathematics"
}
|
- 89*w - 1/3*w**3 + 0. Let f(o) = -o - 2. Let h be f(-5). Calculate l(h).
-1
Let s(t) = -t**3 - 20*t**2 - 53*t + 523. Let i be s(-12). Let w(l) be the first derivative of 4*l**2 + 1 + 1/4*l**4 - 7*l - 8/3*l**3. Calculate w(i).
0
Let k(p) = -p**3 + p**2 - 1. Let f(q) = q**2 - 8*q + 16. Let o be f(2). Let j(z) = -5*z**3 + 9*z**2 - z - 3. Let x(c) = o*k(c) - j(c). Determine x(5).
4
Let d(v) = -v**2 + 2. Let p be (-121)/(-22) + (-30)/(-12). Suppose -2*k - 18 = -p. Determine d(k).
-23
Let d(x) = -x**2 - 46*x - 22. Let h be d(-43). Let s = -106 + h. Let l(q) = -7*q. Give l(s).
-7
Let b(q) = -q - 5. Suppose 0 = -u - 5*l + 2*l + 100, 3*l - 197 = -2*u. Let r = u + -93. Suppose i = 2*i - r. Calculate b(i).
-9
Let v(x) be the third derivative of -2/3*x**3 + 1/24*x**4 + 1/120*x**6 + 20 - 2*x**2 - 1/20*x**5 + 0*x. What is v(3)?
-1
Let v(j) be the second derivative of -3*j + 0 + j**2 + 1/12*j**4 - 4/3*j**3. Let h(b) = 36*b - 1469. Let m be h(41). Give v(m).
-5
Let v(b) = 4*b**3 + 31*b**2 + 7*b - 25. Let s(x) = 9*x**3 + 74*x**2 + 16*x - 48. Let z(f) = -3*s(f) + 7*v(f). Give z(6).
11
Let q(k) = -2*k**3 + k**2 + 3*k. Let g(m) = -5*m**3 + 4*m**2 + 1. Let j(b) = g(b) - q(b). Give j(2).
-17
Let x(y) = -1 - 4*y + y**2 + 4*y - 18*y. Let g(z) = 917*z - 8235. Let q be g(9). Give x(q).
-1
Let s = 5 + -11. Let r(z) = -3*z + 4*z - 209152 - 5*z - z**2 + 209165. Give r(s).
1
Let p(m) be the first derivative of -m**4 + m**3/3 - 2*m**2 - 3*m - 613. Give p(-2).
41
Let q(j) = 2*j + 2*j**2 - j**3 - 106 + 56 - 3*j**2 + 51. Give q(2).
-7
Suppose -11*b = 32 - 98. Suppose -13*w + b*w = 42. Let p(z) = 2*z - 6. Calculate p(w).
-18
Let v = -47377 + 47384. Let k(g) be the first derivative of -g**3/3 + 5*g**2/2 + 9*g + 1. Calculate k(v).
-5
Let s(j) = 7*j + 64. Let w(i) = 8*i + 23. Let y(t) = -2*s(t) + 3*w(t). Give y(6).
1
Let p(w) = 6*w - 21*w + 2 + 7*w + 11*w. Let m be 8/5*(-315)/(-14). Let h = m + -39. Calculate p(h).
-7
Let m(o) = 2*o**2 - 3*o - 4. Suppose -81*d = 125 - 263 - 105. Determine m(d).
5
Suppose 26*k = 28*k - 4. Let s(o) = 5*o - 2*o**2 + 3*o**k - 13*o + 6*o + 3. Let n(b) = -b**3 - 8*b**2 - 8*b - 5. Let u be n(-7). What is s(u)?
3
Let r(i) = 13*i + 377. Let v(g) = -5. Let w(b) = r(b) + 78*v(b). Let x(f) = 16*f - 15. Let s(o) = -4*w(o) + 3*x(o). What is s(6)?
-17
Suppose 142*a + 135 = 145*a. Let g(b) = -b**3 - 6*b**2 + 47 - 48*b + a*b - 49. What is g(-5)?
-12
Suppose 10*i - 13*i + 23*i = 0. Let n(b) = b**3 + b**2 - 2*b - 40. Calculate n(i).
-40
Let o(n) = 9*n**2 - 4*n**2 + 12270*n - 12272*n - 9. Let a(j) = -13*j**2 + 4*j + 27. Let w(p) = 3*a(p) + 8*o(p). Give w(6).
21
Let a(b) = 15*b**3 - b**2 - 74*b + 7. Let i(u) = 13*u**3 - 63*u + 7. Let d(y) = 6*a(y) - 7*i(y). Give d(-6).
11
Let f(r) = -7 - 6 + 0 - r. Suppose -118 = 53*d - 29*d + 74. Give f(d).
-5
Let t = -80 - -150. Suppose 0 = 5*g - t. Let z be 7/g*2/1 - 5. Let d(o) = 2*o + 3. What is d(z)?
-5
Let m(v) be the first derivative of v**2/2 - v - 1. Suppose -1641 = -270*x + 273*x. Let n = 550 + x. What is m(n)?
2
Let t = 9716 - 9699. Let m(c) be the second derivative of -t*c + 0 - 1/6*c**3 + 1/2*c**2. Determine m(-5).
6
Let f(q) = q + 181057 - 181057 + 25*q**2. What is f(-2)?
98
Let d be (-60 + 57)*(1 - 2)*-3. Let c(s) = -12*s - 114. What is c(d)?
-6
Let v be 8/1 + -4 + -13. Let l(i) be the second derivative of 0 + 5*i**2 + 18*i + 1/6*i**3. Give l(v).
1
Let v(x) = 3*x**3 + 2*x**2 - 1. Suppose -2 = 3*n - n. Let r be v(n). Let d(t) = 2 - 422*t - 2*t**2 + 201*t + 223*t. What is d(r)?
-10
Let l(a) = -a**3 - 26 + 1398*a**2 + 24*a + 7 - 1410*a**2. Give l(-14).
37
Suppose 10*d - 8 - 32 = 0. Let n(i) = -9*i + 5. Let u(g) = -7*g + 3. Let v(l) = d*u(l) - 3*n(l). What is v(0)?
-3
Suppose 1855*b - 1852*b = -24. Let n(r) be the second derivative of -r**5/20 - r**4/2 + 2*r**3 + r**2 - 6*r - 2. Give n(b).
34
Let p(n) = 8*n + 87. Let f = 2730 + -2742. Calculate p(f).
-9
Let f(u) be the first derivative of -u**3/3 + 9*u**2 - 48*u - 273. Determine f(16).
-16
Let m(v) = -v**3 - 4*v**2 - 5*v + 25. Let q be m(0). Let r(j) = j**3 - 25*j**2 + 2*j - 57. What is r(q)?
-7
Let p(z) = -5*z + 83. Let b be p(18). Let d(c) = 2*c + 6. Calculate d(b).
-8
Let q(j) = j**3 - 85*j**2 - 165*j - 760. Let d be q(87). Let x(t) = -2*t**2 + 41*t + 105. Give x(d).
-10
Let u(s) = 10 + 28 - 3 - 7*s - s + 2*s. Determine u(4).
11
Let p(b) be the second derivative of b**5/20 + 5*b**4/6 + b**3 - 5*b**2/2 - b - 162. What is p(-8)?
75
Let o(q) = q + q**2 - 7*q + 250 - 4*q - 235. Determine o(10).
15
Let j(g) = -7*g**2 - 16 - g**3 - 7*g - 7 + 0*g**2 + 47 - 17. What is j(-6)?
13
Let o(m) = -m**2 - 13*m - 16. Let w be o(-11). Let h(x) = -w*x + 5 + 63*x**2 - 34*x**2 - 28*x**2. Calculate h(6).
5
Let c(h) be the second derivative of -h**4/6 + h**3/2 + 3*h**2/2 - 92*h - 1. Let f be (-31 + -2)/(-3) - 2. Suppose f = 2*g + g. Give c(g).
-6
Let w(g) = 2*g**3 + g**2 - 7*g + 7. Let r(h) = -3*h**2 + 83*h - 128. Let c be r(26). What is w(c)?
13
Let x(s) = -s**3 - 13*s**2 + 14*s - 10. Suppose 29*w = 28*w, 0 = -3*d - 2*w - 42. Calculate x(d).
-10
Let j(x) = -x**3 + 4*x**2 + 5*x - 4. Let d(b) = 6*b**2 - 5*b - 2*b**2 + 12*b**3 - 11*b**3. Let i be d(-5). Suppose q - 5 = -i*q. Give j(q).
-4
Let s = -206 + 229. Let d(i) = 38*i**2 + 4*i + 1 - 18*i**2 - s*i**2. Determine d(4).
-31
Let j(n) be the third derivative of -n**4/24 + 119*n**2. Let l(g) = 2*g**2 - 3. Let k(s) = -j(s) - l(s). Give k(3).
-12
Let h(y) = -10*y - 7. Suppose -2*n - o + 4 = 0, -14 = -n - 4*o + 2. Determine h(n).
-7
Let t(j) = 2*j**3 + 93*j**2 - 44*j + 156. Let m be t(-47). Let w(z) = 2*z**3 - 30*z**2 - 8. Give w(m).
-8
Let k = 243 + -235. Let r(b) = 19 - 41 + k*b + 21. Give r(1).
7
Let f(h) = 2*h + 136. Let r(s) = -3*s - 183. Let y(v) = -7*f(v) - 5*r(v). Calculate y(37).
0
Let n(m) = -125*m - 589. Let u(o) = 31*o + 140. Let c(i) = 6*n(i) + 26*u(i). Determine c(-2).
-6
Let i = -55 + 58. Let u(k) = -2 + 3*k + 12*k**i - 41*k**3 + 14*k**3 + 2*k**2 + 14*k**3. Suppose m - 5*x = -17, -4*m + 14 = -2*m + 2*x. What is u(m)?
-2
Let c(t) = 2*t**3 + 3*t**2 - 4*t - 4. Let x be (-1)/(-9 - (-222)/24). Determine c(x).
-68
Let v = -79 + 120. Let g = v + -39. Let u(r) = -6*r**2 + 4*r**2 + 4*r + r**g + 2. What is u(6)?
-10
Let w(n) be the first derivative of 2*n**3/3 + 3*n**2/2 + n + 60. Suppose -b = -3*q - 4, -168 = -3*b - 5*q - 198. Determine w(b).
36
Let v(k) = 154*k. Let u(w) = -182*w - 42. Let y(j) = -u(j) - v(j). Calculate y(-3).
-42
Let w(m) = -m**2 + 4*m + 4. Let u be w(4). Let y(x) = -38*x**2 - 4 + 0 - 3 - u*x + 39*x**2 - 3*x. Determine y(9).
11
Let f(d) be the second derivative of d**4/12 + 2*d**3/3 + 5625*d. Determine f(-4).
0
Let z(d) = -d**3 - 5*d**2 + 9*d + 7. Suppose -2*y - 6 = -0*u - u, 0 = -4*u - 3*y + 13. Suppose -2*b = -8, 5*b = -u*j + 51 + 97. Let t = 26 - j. Calculate z(t).
-11
Let f(x) = -7*x**2 - 3*x + 19. Let b(k) = -20*k**2 - 10*k + 56. Let y be -2 + 2 + -3 - -9. Let g(s) = y*b(s) - 17*f(s). Let o = -24 - -14. What is g(o)?
3
Let l = -67 + 49. Let p = l - -10. Let c(d) = 2*d + 78 - 37 - 29. What is c(p)?
-4
Let d = -684 + 681. Let h(g) = -g**3 - 3*g**2 - 6*g - 22. Let i be h(d). Let v(r) = -3*r**2 - 12*r + 5. What is v(i)?
5
Let m(c) = -252 - 80 + 311*c - 299*c. What is m(27)?
-8
Let r(u) = 49*u - 285. Let n(w) = -5*w**2 + 47*w + 192. Let j be n(-3). Calculate r(j).
9
Suppose 0 = 3*j - 17 + 32. Let z(n) be the first derivative of n**4/4 + 5*n**3/3 - 5*n + 7. What is z(j)?
-5
Let u = -165 + 167. Let y(x) = -15*x - 24*x + 1 + 45*x + x**u. Calculate y(-6).
1
Let w(m) = -29*m + 10. Let u(h) = -28*h + 10. Let n(s) = 4*u(s) - 3*w(s). Calculate n(2).
-40
Let u(y) be the second derivative of -y**3/6 - y**2/2 + 523*y. Let a(s) = -2*s + s**2 - 1 - 3*s + 7 - 3*s. Let b be a(6). Give u(b).
5
Let z = -2 - -5. Suppose -n = -1, 3*n - z + 6 = 2*w. Let r(g) = 2*g**2 + 3*g - 3*g**2 - w - 3*g**2 + 2*g**2. Give r(2).
-5
Let l(j) = j + 6. Suppose -o = -71 - 21. Let u = o + -104. Determine l(u).
-6
Let d(z) = -66*z - 335. Let n be d(-5). Let a(l) = -l**3 + l - 1. Let b(y) = -6*y**2 - 2*y + 5. Let f(j) = a(j) + b(j). Determine f(n).
-16
Let d(n) = 32*n - 2516762*n**2 + 2516761*n**2 - 18 - 12*n. Give d(19).
1
Let m(u) = 2*u**3 - 7 + 171*u**2 + u - u**3 - 165*u**2. Let v be ((-6)/(-4))/(4/16). Suppose r = z + 3*z + v, 4*r = -3*z - 33. Determine
|
{
"pile_set_name": "DM Mathematics"
}
|
*r - 1. Let i be x(-3). Is a at least as big as i?
True
Let l(i) = 11*i**2 + i. Let y be l(-1). Let m(k) be the second derivative of -k**4/12 + 11*k**3/6 - 9*k**2/2 + 6*k. Let h be m(y). Is h > 2?
False
Let s = -168.3 + 169. Let u = -2 - -1. Which is greater: s or u?
s
Suppose -y + 3 + 9 = 4*n, 3*y - 5*n = -32. Which is greater: -5/2 or y?
-5/2
Let y = 3032/3 + -1021. Let m = y - -157/12. Which is smaller: 4 or m?
m
Suppose 0 = -4*k + i, k + k = 4*i - 14. Which is bigger: -13 or k?
k
Let q be (0/2)/(1 + 0). Let y = 2 - q. Let h = -4 - -6. Is h greater than y?
False
Let l = -87.8 + 74. Let p = l + 14. Let n = -3 + 5. Are p and n equal?
False
Let n = 1 - -2. Suppose 0 = n*q - q. Suppose -5*m = -q*m + 5. Is 1/12 bigger than m?
True
Let m = -0.4 - 1.6. Let s = -322.4 - -322. Are s and m non-equal?
True
Suppose -24 = -d - 0*d. Suppose d = -a - 3*a. Let y be -3 + ((-10)/a - -1). Which is smaller: y or -0.1?
y
Let o be (-1)/2*0*1. Let z be 10/3 - (-3)/(-1). Which is greater: o or z?
z
Let k(x) = x**2 + 5*x + 3. Let v be k(-6). Is 9 at most as big as v?
True
Suppose 0 = 3*f - 5*v - 2, 5*v + 0*v - 10 = 0. Is f bigger than 8?
False
Suppose 13*x = 9*x - 16. Do x and -3 have different values?
True
Let x = 9.63 - 8.7. Let f = -0.07 - x. Which is smaller: -2 or f?
-2
Let l(q) = q**2 + 8*q - 2. Suppose -2 - 26 = 4*u. Let z be l(u). Let r = 11 + z. Is r less than 3?
True
Suppose w + w - 4 = -2*f, 3*f = 5*w + 30. Suppose 0 = -k - v, 0 = -3*k + f*v - 2*v + 18. Suppose 4*c = -c + 15. Is c > k?
False
Let z be (13/299)/(2/2). Is z not equal to 1/3?
True
Suppose -4*r - 4*g + 115 = -309, 5*g - 209 = -2*r. Is 108 > r?
True
Let t be (-4)/(-6)*11 + 1/(-3). Is 7 at least as big as t?
True
Let p(v) be the second derivative of v**4/12 + v**3/2 + v**2/2 + 2*v. Let i be p(-4). Do 5 and i have the same value?
True
Let u = -66.9 - -67. Is u greater than -7?
True
Suppose -2*m = a + 1, -5*a - 5 = 6*m - 5*m. Is 2/59 not equal to m?
True
Suppose k - 6*k + 75 = 0. Suppose 2*y = 4*w + 7*y - k, -3*y = -9. Let i(b) = -b**2 - 9*b + 12. Let p be i(-10). Which is smaller: p or w?
w
Let j = -6 + 5.8. Let b = 0.1 + j. Let x = b - -0.07. Is 1/4 at most as big as x?
False
Let f = -21 - -20. Is -2/91 at most as big as f?
False
Let d = -5 - -6. Which is smaller: d or -1.5?
-1.5
Let i = -0.9 - 1.1. Which is smaller: -15 or i?
-15
Let g(v) be the second derivative of v**5/20 + v**4/6 - v**3/6 + v**2 - 2*v. Let m be g(-3). Let k = -4 - m. Are k and 1/2 nonequal?
True
Let v(q) = 3*q**3 - 2*q - 1. Let w be v(-1). Suppose s + 1 = 11. Suppose 5*d + 5*u + s = 0, u = -4 + 3. Does w = d?
False
Let o = -7 + 12. Let k = o + -4.7. Is -1/4 bigger than k?
False
Let n = -5 - -8. Is n at least 2?
True
Let c be ((-35)/(-21))/((-1)/(-15)). Let x = c + -26. Let l = 2.92 + 0.08. Do x and l have different values?
True
Let f = 0.71 - 0.81. Is f less than or equal to 8/5?
True
Let i(r) = -11*r**3 + 32*r**2 + 35*r + 11. Let g(h) = 7*h**3 - 21*h**2 - 23*h - 7. Let a(m) = 8*g(m) + 5*i(m). Let z be a(9). Which is bigger: z or -2?
z
Let s(q) = q**2 - 2*q - 5. Let y be s(4). Let i be (-1)/((y/2)/(-3)). Is i >= -1?
True
Let i(z) = -z**2 - 5*z + 3. Let n be i(-4). Let m be 0 + -3 - n/7. Suppose 0 = 4*g - 4 + 16. Which is bigger: g or m?
g
Suppose -3*v + 34 + 2 = 0. Let d be 2 - (39/v - 1). Suppose 5 = 2*b + 3. Are d and b non-equal?
True
Let b = 4937/20 - 1005/4. Is 1/3 > b?
True
Let u = 6 - 3. Let q(n) = -u*n + 4*n + 1 - n**2 + 1. Let m be q(2). Is m > 0?
False
Suppose -m - m - 12 = 0. Which is smaller: -25/4 or m?
-25/4
Let u = 21 - 30. Which is greater: 0.1 or u?
0.1
Let i be ((-4)/(-1))/(-2 + 1). Let n be 0/(-2)*(-2)/i. Suppose 4*q + 7 - 3 = n. Which is smaller: 2/11 or q?
q
Let m = 136/57 - 39/19. Let v = 2/9 + 1/9. Is m bigger than v?
False
Let j be 2 - (-1 + -1 + 1). Let x(c) = 4*c**2 - 4. Let g(k) = -3*k**2 + k + 4. Let w(d) = j*g(d) + 2*x(d). Let q be w(4). Which is bigger: 1 or q?
1
Let r(x) = x**2 - 4*x + 3. Let a be r(2). Let h be (-2)/5 + (a - -1). Let q be (-6)/(-4)*(-4)/6. Is q != h?
True
Suppose -6*s = -2*s - 16. Let m = s + -3. Is -2/11 not equal to m?
True
Let k = 269/5 + -54. Which is greater: 0 or k?
0
Let i = -9.9 - 2.1. Let x = -6 - i. Let p = x - 4. Is -2/3 at least p?
False
Suppose l - 6*l - 100 = 0. Let o be (-3)/((l/(-2))/(-2)). Is o greater than or equal to 2?
False
Let u = 2 - 3. Let x(c) be the first derivative of -c**2/2 + 5*c + 1. Let h be x(6). Is u greater than or equal to h?
True
Suppose -3*l = -2*u - 16, 9 - 1 = 3*l + 2*u. Suppose -3*x + 4*x = 2. Let m be (x*(-2)/l)/1. Is -2/5 bigger than m?
True
Let t = 0.46 - 0.46. Is -10 greater than or equal to t?
False
Suppose 0 = 5*z - 4*b + 3, 0 = 2*b - 0*b - 4. Is 3/20 != z?
True
Let z be 1/(-1 + 3 - 1). Which is greater: 2 or z?
2
Let x be ((1 - -3)/(4 - 2))/(-5). Let c = 5/8 - 3/8. Which is bigger: c or x?
c
Let z = -0.07 - 0.03. Which is smaller: z or 2?
z
Let t(k) = -k**3 - 9*k**2 - 9*k - 11. Let i be t(-8). Let n be (-2 - -1)/(3/9). Let l = -2 - n. Which is bigger: l or i?
l
Suppose 1 = v - 0*v. Let n be v/2 - (-7)/14. Which is smaller: n or 1/7?
1/7
Let f(k) = -k**3 - 8*k**2 - 2*k - 12. Let t be f(-8). Let i(z) = -z**3 + 7*z**2 - 7*z + 8. Let s be i(6). Is s smaller than t?
True
Suppose 4*q - 20 = 3*i, 0 = -3*i - i + 4*q - 32. Let p be i/(-9)*(-9)/(-8). Suppose -g = -0*g - 1. Which is smaller: g or p?
g
Let h = -1.6 + 13.6. Which is smaller: h or -1?
-1
Let i be 4 - (1 - (-4)/(-1)). Is i > 8?
False
Let n be (-10)/(-25)*20/2. Suppose -n = -4*o - 3*l, 0 = -4*o - 3*l + 8*l + 36. Suppose u = -o*u. Which is smaller: u or 1/2?
u
Let b = -12 - -11.8. Are -1.2 and b non-equal?
True
Let h = -38.2 + 38. Let x = 1 + 3. Let k be x/(-1)*(-1)/10. Are h and k nonequal?
True
Let x = -3.5 + 7.7. Let z = 0.2 + -0.4. Let q = x + z. Which is smaller: q or -1?
-1
Let t = 13.1 - 13.4. Which is smaller: -2/27 or t?
t
Let y = -205/7 + 30. Let a(s) = -s**3 + 4*s**2 + 4*s + 6. Let r be a(5). Which is smaller: y or r?
y
Let a be 32/8*2/1. Let t be (-3)/9*6/a. Which is smaller: -1 or t?
-1
Let g be (-28)/(-6) - 12/18. Let j = g - 4. Is 3 at most as big as j?
False
Let h = -4 - -14/3. Suppose -2*i = -g, 0 = 3*g - 4 - 8. Which is greater: i or h?
i
Let l = -3 - 5. Let s = -5 - l. Let p = 1 - -1. Which is greater: s or p?
s
Let p(z) = z + 8. Let d be p(-6). Suppose 0 = -4*x + 3*a - 6, d*a + a = 5*x + 6. Suppose 0 = 2*o + 5*v + 14 - 1, 3 = -3*o - 2*v. Is x < o?
True
Let y be 6/411*(-554)/(-12). Let k be 4 + 2194/(-274) + 4. Let x = y + k. Which is smaller: 0.1 or x?
0.1
Suppose 5*n + s - 12 = 11, -2*n - s = -8. Suppose 2*u - 6 = -2*j, 17 = n*j + 3*u + u. Which is smaller: -1 or j?
-1
Let k be 1/(-2) - (-22)/4. Suppose 0 = k*o - o. Let i(l) = l + 6. Let s be i(-5). Which is smaller: o or s?
o
Let t(o) = 14*o**2 + 3*o - 2. Let n be t(1). Is n <= 15?
True
Let l = 34 - 31.9. Let o = -22 - -24. Let n = l - o. Which is greater: n or 4/5?
4/5
Let l = 67 - 403/6. Let f be (-2)/(-5) - 6/15. Suppose f = 2*j + j. Is l > j?
False
Suppose 2*b - 4*b - 2*p + 24 = 0, 28 = 3*b - p. Let v(o) = 5*o**2 + 5*o. Let y be v(-2). Is y not equal to b?
False
Suppose -12 = -r - 3*r. Suppose 0 = 5*f + 2*s - 53, 2*f + 3*s - 34 = -s. Let g be (-4)/(-18) - (-25)/f. Is g less than or equal to r?
True
Let k(s) = s**3 - s**2 + 1. Let t be k(0). Suppose 2*d - 5*h = 0, 5*h - 7 = -d + 8. Suppose 2 = -i + d. Which is bigger: i or t?
i
Let n = -6 - -11. Suppose -3*v - 5 = -4*u + 14, -2*v - n = 5*u. Does v = -3?
False
Suppose -3*i + 3*f = -24, -2*i - 5*f + 26 = -2*f. Are i and 10 non-equal?
False
Let y be 2/20 - (-3)/(-5). Let i = 0.1 - 0.1. Which is smaller: i or y?
y
Let t = 4 - -2. Suppose -g = g - t. Which is smaller: 1/5 or g?
1/5
Let s(o) = -o**2 - o + 4. Suppose 0*a - 3*a = 0. Let c be s(a). Suppose -11 = -3*j + c. Which is bigger: j or 0.1?
j
Let l be (-40)/(-25) - (-2)/5. Suppose 0 = 3*f + l*w - 26, -3*f + 21 + 9 = 3*w. Let h = f + -8. Which is bigger: -2/3 or h?
-2/3
Let j be 4*((-14)/4)/(-7). Suppose 4*t + 3*y = -11, j*y + 20 = -2*y. Which is smaller: 1/3 or t?
1/3
Let n be 3/75*(0 + -1). Let s = -18/175 + n. Which is greater: -1 or s?
s
Let d(i) = -7*i + 2. Let h = -17 + 24. Let o(y) = 8*y - 1. Let l(j) = h*d(j) + 6*o(j). Let u be l(4). Is 4 < u?
False
Let u = -4 + 2. Let i = u - -3. Let t be (-10
|
{
"pile_set_name": "DM Mathematics"
}
|
lacement from {b: 1, u: 3}. Give prob of sequence ub.
1/4
Four letters picked without replacement from {h: 5, v: 9}. Give prob of sequence hvvh.
60/1001
Calculate prob of sequence io when two letters picked without replacement from ytrrprpprirroprrpirp.
1/190
What is prob of sequence mc when two letters picked without replacement from vcvmccccvcccmcimiic?
5/57
Two letters picked without replacement from oqasqrrsss. What is prob of sequence os?
2/45
Four letters picked without replacement from drrd. What is prob of sequence rdrd?
1/6
What is prob of sequence fhb when three letters picked without replacement from {s: 1, r: 4, b: 2, m: 3, f: 4, h: 3}?
1/170
Two letters picked without replacement from cchccdpchdhcphpkc. Give prob of sequence dp.
3/136
Four letters picked without replacement from {b: 2, h: 17}. Give prob of sequence hhhh.
35/57
Calculate prob of sequence ok when two letters picked without replacement from knonnknkonnkokoknk.
14/153
What is prob of sequence ts when two letters picked without replacement from smhddhtssbhs?
1/33
What is prob of sequence nn when two letters picked without replacement from {n: 7}?
1
Calculate prob of sequence siis when four letters picked without replacement from {i: 10, s: 9}.
45/646
Calculate prob of sequence aaw when three letters picked without replacement from wwawwaw.
1/21
Calculate prob of sequence zf when two letters picked without replacement from {z: 2, f: 2}.
1/3
Three letters picked without replacement from zhdalldlll. Give prob of sequence lzd.
1/72
Two letters picked without replacement from jyjjjyjyjjjj. What is prob of sequence jy?
9/44
Calculate prob of sequence tqzz when four letters picked without replacement from {z: 2, q: 1, i: 4, t: 1}.
1/840
Calculate prob of sequence on when two letters picked without replacement from {n: 1, o: 2, x: 2, k: 4}.
1/36
Three letters picked without replacement from dluqw. What is prob of sequence wuq?
1/60
Calculate prob of sequence udcd when four letters picked without replacement from dducydydddyydcddycdd.
11/3876
Two letters picked without replacement from dwdedddeddeddedde. What is prob of sequence wd?
11/272
Two letters picked without replacement from {d: 1, x: 2, e: 1, u: 2, n: 1}. What is prob of sequence xx?
1/21
Calculate prob of sequence jhph when four letters picked without replacement from hjlqdqphjhlq.
1/990
Calculate prob of sequence ssxp when four letters picked without replacement from pqxalslqpxsq.
1/1485
Two letters picked without replacement from jmajqje. Give prob of sequence em.
1/42
Two letters picked without replacement from ttttttbttttbtttb. What is prob of sequence tt?
13/20
Three letters picked without replacement from bbuuuuuuub. What is prob of sequence ubu?
7/40
Four letters picked without replacement from {k: 1, h: 5, y: 8, n: 4}. What is prob of sequence nkhn?
1/1224
Two letters picked without replacement from {p: 7, m: 5}. What is prob of sequence pm?
35/132
Four letters picked without replacement from hhhghggguhuhgh. What is prob of sequence uhgh?
5/286
Two letters picked without replacement from {j: 5, e: 4, h: 2}. Give prob of sequence hh.
1/55
Calculate prob of sequence oo when two letters picked without replacement from {o: 9, w: 3}.
6/11
Calculate prob of sequence gb when two letters picked without replacement from rgrbbbbrbrbbr.
7/156
Two letters picked without replacement from kqjqjjkjq. What is prob of sequence jj?
1/6
Three letters picked without replacement from cra. Give prob of sequence rca.
1/6
Calculate prob of sequence xypc when four letters picked without replacement from {n: 2, c: 1, p: 1, y: 1, x: 1, u: 1}.
1/840
Three letters picked without replacement from {c: 10, i: 10}. What is prob of sequence iic?
5/38
What is prob of sequence qvq when three letters picked without replacement from {q: 6, v: 3, k: 5, o: 1}?
3/91
What is prob of sequence kvj when three letters picked without replacement from {g: 1, a: 1, k: 1, j: 1, v: 1}?
1/60
Three letters picked without replacement from nktnjxjxxxtpnntxkxk. What is prob of sequence kxt?
3/323
What is prob of sequence zz when two letters picked without replacement from zzrzrazrrzr?
2/11
Two letters picked without replacement from {n: 1, g: 8, r: 2, k: 1, z: 1, h: 1}. Give prob of sequence hg.
4/91
Three letters picked without replacement from hsuusuuhsesgh. Give prob of sequence hgu.
1/143
Calculate prob of sequence pu when two letters picked without replacement from upwrwuw.
1/21
What is prob of sequence xv when two letters picked without replacement from ivyywvxvmiyyyvvwiymw?
1/76
Three letters picked without replacement from {i: 9, b: 6, j: 3, q: 1}. What is prob of sequence jjb?
2/323
Calculate prob of sequence rsd when three letters picked without replacement from {d: 2, s: 1, r: 2}.
1/15
Four letters picked without replacement from fblnv. What is prob of sequence lfvb?
1/120
Calculate prob of sequence ef when two letters picked without replacement from {e: 11, f: 9}.
99/380
Calculate prob of sequence ha when two letters picked without replacement from hahgfbgcbhb.
3/110
What is prob of sequence lnn when three letters picked without replacement from {t: 1, d: 1, n: 6, l: 1}?
5/84
Four letters picked without replacement from {y: 1, g: 1, e: 5, h: 2}. Give prob of sequence eghe.
5/378
Three letters picked without replacement from {d: 2, o: 3, l: 3, u: 1, f: 1, h: 2}. What is prob of sequence hdu?
1/330
Three letters picked without replacement from pxxp. What is prob of sequence pxp?
1/6
What is prob of sequence iiv when three letters picked without replacement from irviivrivivirr?
5/91
Three letters picked without replacement from {w: 3, y: 2, b: 2, x: 2, m: 2, f: 1}. What is prob of sequence wmm?
1/220
Four letters picked without replacement from {p: 7, x: 1, m: 8, w: 4}. Give prob of sequence wppp.
7/969
Four letters picked without replacement from {j: 5}. Give prob of sequence jjjj.
1
Four letters picked without replacement from {g: 3, s: 6, d: 8, k: 1}. What is prob of sequence sgkd?
1/510
Calculate prob of sequence wx when two letters picked without replacement from wbwbxxxxbbwxwwxxx.
5/34
What is prob of sequence wh when two letters picked without replacement from {w: 10, h: 4, p: 5}?
20/171
Calculate prob of sequence bbk when three letters picked without replacement from bkkkkbkkkbkkkkkk.
13/560
What is prob of sequence hh when two letters picked without replacement from {q: 4, h: 14}?
91/153
Calculate prob of sequence uuuu when four letters picked without replacement from {f: 8, u: 5}.
1/143
What is prob of sequence qf when two letters picked without replacement from {q: 1, f: 2, d: 3, l: 1}?
1/21
Three letters picked without replacement from qkkgkgkkgkgkqkgrkmqk. What is prob of sequence rmq?
1/2280
What is prob of sequence qiii when four letters picked without replacement from iiqiq?
1/10
Three letters picked without replacement from {f: 5, u: 2, k: 1, z: 2, l: 4}. Give prob of sequence kuf.
5/1092
Three letters picked without replacement from vohnenoovnhoooev. Give prob of sequence enn.
1/280
Calculate prob of sequence ysy when three letters picked without replacement from sysssyyssy.
1/10
Calculate prob of sequence zk when two letters picked without replacement from {k: 3, z: 4}.
2/7
Calculate prob of sequence uttu when four letters picked without replacement from tttutut.
1/21
Two letters picked without replacement from {p: 2, c: 2, d: 6, l: 3}. What is prob of sequence cl?
1/26
Calculate prob of sequence cce when three letters picked without replacement from {c: 2, e: 1}.
1/3
Two letters picked without replacement from ptpo. What is prob of sequence pt?
1/6
What is prob of sequence ao when two letters picked without replacement from {o: 3, n: 3, g: 1, a: 4}?
6/55
Three letters picked without replacement from kcckcexjxc. Give prob of sequence xcj.
1/90
What is prob of sequence kka when three letters picked without replacement from jkkkvkajakja?
1/22
Three letters picked without replacement from owoeeeoee. Give prob of sequence oew.
5/168
Two letters picked without replacement from rrrxrrrrrjpjp. What is prob of sequence pp?
1/78
Calculate prob of sequence oa when two letters picked without replacement from {o: 2, a: 1}.
1/3
What is prob of s
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is the next term in 1051640, 1051643, 1051646, 1051649?
1051652
What is next in -4525, -9046, -13557, -18052, -22525, -26970, -31381, -35752?
-40077
What is next in 101, 429, 757, 1085?
1413
What is next in -38202, -76402, -114602, -152802?
-191002
What is the next term in -24062, -24068, -24070, -24068?
-24062
What is the next term in -4534, -9057, -13576, -18091, -22602, -27109, -31612?
-36111
What is next in -130, 11, 252, 593, 1034, 1575?
2216
What comes next: 1375, 2735, 4095, 5455, 6815?
8175
What is the next term in 93336, 93340, 93344, 93348, 93352, 93356?
93360
What is the next term in 4651, 9261, 13871, 18481, 23091?
27701
What comes next: -226175, -226172, -226171, -226172, -226175, -226180, -226187?
-226196
What is next in -43022, -43021, -43018, -43013, -43006, -42997, -42986?
-42973
What is the next term in -7516, -15034, -22550, -30064, -37576?
-45086
What is the next term in -7201, -28789, -64771, -115153, -179941?
-259141
What comes next: -805, -1572, -2371, -3220, -4137, -5140, -6247?
-7476
What comes next: -109428, -109429, -109430?
-109431
What is the next term in -744, -777, -828, -897, -984?
-1089
What is next in 215, 362, 507, 650, 791?
930
What comes next: 4050, 3871, 3690, 3507, 3322, 3135?
2946
What is the next term in -14862, -14845, -14832, -14829, -14842, -14877, -14940?
-15037
What comes next: -455, -920, -1399, -1898, -2423, -2980?
-3575
What comes next: -24842, -24897, -24990, -25121, -25290, -25497, -25742?
-26025
What is the next term in -373, -399, -497, -709, -1077?
-1643
What comes next: -1489, -5955, -13397, -23815, -37209?
-53579
What is the next term in 711275, 711273, 711271, 711269?
711267
What is next in -5405, -10846, -16347, -21938, -27649, -33510, -39551, -45802?
-52293
What is the next term in -3913, -3923, -3933, -3943?
-3953
What is the next term in 90, 700, 2384, 5688, 11158, 19340?
30780
What is the next term in -631, -1327, -2023, -2719?
-3415
What is the next term in 22808, 45614, 68420?
91226
What is the next term in -153, -142, -153, -198, -289, -438?
-657
What comes next: 650, -62, -774, -1486, -2198?
-2910
What is the next term in 346, 342, 304, 214, 54, -194?
-548
What is next in 5599, 11214, 16829?
22444
What is next in -1635, -6476, -14525, -25782, -40247?
-57920
What comes next: 17307, 34610, 51913?
69216
What comes next: 1946, 3885, 5818, 7745, 9666, 11581, 13490?
15393
What is the next term in -1635, -1581, -1527, -1473?
-1419
What is next in 13, 43, 93, 169, 277, 423, 613?
853
What comes next: -82, -62, -24, 38, 130, 258, 428?
646
What is next in 2360, 2365, 2372, 2381, 2392, 2405?
2420
What is next in 116, 934, 3164, 7514, 14692?
25406
What is the next term in -4733, -4777, -4821, -4865, -4909?
-4953
What is the next term in 519271, 519270, 519269, 519268, 519267?
519266
What comes next: 4419, 8803, 13187, 17571, 21955, 26339?
30723
What is the next term in -185, -150, -115, -80, -45?
-10
What is next in 32005, 32004, 32003, 32002?
32001
What is the next term in 6101, 12130, 18159, 24188?
30217
What is the next term in -30430, -30449, -30468, -30487, -30506, -30525?
-30544
What comes next: 3131, 6254, 9377, 12500, 15623, 18746?
21869
What comes next: -44422, -44543, -44666, -44791, -44918, -45047?
-45178
What comes next: -4375419, -4375421, -4375425, -4375431, -4375439, -4375449, -4375461?
-4375475
What comes next: 242068, 242069, 242070, 242071?
242072
What is next in -5523, -11044, -16561, -22074, -27583, -33088?
-38589
What is the next term in 344, 488, 632, 776?
920
What is next in 4582, 4548, 4514, 4480, 4446?
4412
What comes next: 18761, 37553, 56335, 75101, 93845, 112561, 131243?
149885
What comes next: -664, -1325, -1986, -2647, -3308?
-3969
What comes next: 441, 913, 1369, 1803, 2209, 2581?
2913
What comes next: -154, -741, -1778, -3271, -5226, -7649?
-10546
What is next in 73249, 146536, 219825, 293116, 366409, 439704?
513001
What comes next: -5858, -11717, -17576?
-23435
What is the next term in -3553, -14259, -32103, -57085, -89205, -128463, -174859?
-228393
What is the next term in 1148, 1153, 1158, 1163?
1168
What comes next: -111292, -111291, -111290, -111289, -111288?
-111287
What comes next: 981890, 981891, 981892?
981893
What comes next: -1831, -3730, -5629, -7528, -9427, -11326?
-13225
What is next in -539, -1111, -1707, -2327, -2971, -3639?
-4331
What is next in -1097, -1318, -1685, -2198?
-2857
What comes next: -3031, -3058, -3085, -3112, -3139, -3166?
-3193
What is the next term in -69764, -69767, -69770, -69773, -69776?
-69779
What is the next term in -430887, -430885, -430883, -430881?
-430879
What is next in 174, 126, 78?
30
What is the next term in 90663, 181331, 271997, 362661, 453323?
543983
What comes next: 432, 1641, 3606, 6321, 9780, 13977, 18906, 24561?
30936
What is next in 187, 756, 1751, 3172?
5019
What is the next term in 103150, 206298, 309448, 412600, 515754, 618910, 722068?
825228
What is next in -30, -90, -160, -246, -354?
-490
What is next in 1372, 1368, 1338, 1270, 1152, 972, 718, 378?
-60
What is next in -1814, -1950, -2086, -2228, -2382, -2554, -2750?
-2976
What comes next: -26174, -26153, -26096, -25985, -25802, -25529, -25148?
-24641
What is the next term in 2789, 2788, 2785, 2780, 2773, 2764, 2753?
2740
What comes next: 6137, 12276, 18415, 24554, 30693, 36832?
42971
What is next in 5, 21, 53, 95, 141, 185, 221?
243
What comes next: 189, 72, -131, -462, -963?
-1676
What is next in 12903, 25828, 38751, 51672, 64591, 77508?
90423
What comes next: -328, -2743, -9290, -22033, -43036, -74363, -118078?
-176245
What is the next term in 41255, 82501, 123737, 164963, 206179?
247385
What comes next: -26609, -26626, -26667, -26744, -26869?
-27054
What comes next: -750, -1463, -2132, -2751, -3314, -3815, -4248?
-4607
What is next in 50977, 50971, 50961, 50947?
50929
What comes next: 620, 1386, 2296, 3350, 4548, 5890?
7376
What is next in -25021, -50046, -75071?
-100096
What comes next: 669720, 1339439, 2009158?
2678877
What comes next: 775, 1517, 2175, 2707, 3071, 3225, 3127?
2735
What is the next term in 3673, 7345, 11017, 14689, 18361, 22033?
25705
What is the next term in 1780, 7142, 16086, 28618, 44744, 64470?
87802
What is next in 456, 1890, 4298, 7686, 12060, 17426, 23790?
31158
What is the next term in 1628, 3264, 4900, 6536, 8172, 9808?
11444
What is next in -294, -690, -1262, -2094, -3270?
-4874
What is next in 9946, 19903, 29862, 39823?
49786
What is the next term in -346, -684, -1032, -1396, -1782, -2196?
-2644
What is the next term in 93288, 93287, 93286?
93285
What is next in 152, -20, -472, -1342, -2768, -4888?
-7840
What is next in -535, -518, -501, -484, -467?
-450
What comes next: 71825, 71827, 71829?
71831
What is next in -2245, -3364, -4481, -5596, -6709?
-7820
What is next in 1047, 3459, 7479, 13107, 20343, 29187?
39639
What is next in 5178, 5172, 5166, 5160?
5154
What is the next term in -68694, -68684, -68670, -68652, -68630?
-68604
What comes next: 1079, 4360, 9829, 17486, 27331, 39364?
53585
What comes next: 8624, 68950, 232682, 551522, 1077172?
1861334
What is the next term in -1112921, -1112928, -1112935, -1112942?
-1112949
What is next in -44, -78, -102, -116, -120, -114?
-98
What is next in 40964, 81926, 122888, 163850?
204812
What is the next term in 306, -705, -2388, -4743, -7770?
-11469
What is the next term in 876, 924, 968, 1008, 1044, 1076, 1104?
1128
What is next in 257, 1005, 2165, 3665, 5433, 7397, 9485, 11625?
13745
What is next in -2297, -4557, -6817, -9077?
-11337
What is the next term in -3102, -12356, -27778, -49368?
-77126
What comes next: 3528, 7130, 10732?
14334
What comes next: 183, 168, 145, 108, 51, -32?
-147
What comes next: 6027, 6090, 6153?
6216
What is next in -112, -119, -104, -49, 64, 253?
536
What is the next term in -636, -591, -546, -501?
-456
What is the next term in 5685, 22721, 51121, 90891, 142037, 204565?
278481
What is the next term in 134, 5, -208, -505, -886, -1351?
-1900
What is next in -7584, -7505, -7428, -7353, -7280, -7209, -7140?
-7073
What is next in -123247, -123248, -123249, -123250, -123251, -123252?
-123253
What is next in -164729, -164705, -164669, -164615, -164537, -164429?
-164285
What is next in -94790, -94803, -94824, -94853, -94890?
-94935
What is next in 4
|
{
"pile_set_name": "DM Mathematics"
}
|
4845c (base 16) in base 8?
1102134
222211221112101 (base 3) to base 16
d9bab1
What is -286440 (base 12) in base 15?
-d4ce9
What is 40b96 (base 13) in base 5?
12204401
What is 672380 (base 13) in base 10?
2432690
Convert 4143200 (base 7) to base 2.
1111001100111010110
68056 (base 13) to base 16
2e255
51432464 (base 7) to base 15
5a23b8
What is -114134 (base 8) in base 5?
-2222004
852555 (base 9) to base 8
1736346
Convert ad242 (base 14) to base 3.
210100112000
Convert -34715765 (base 8) to base 11.
-4305427
What is 101011010011010110 (base 2) in base 16?
2b4d6
10001100100111011 (base 2) to base 3
10122202111
1ff97 (base 16) to base 4
133332113
What is 215635 (base 12) in base 15?
a6665
-331232 (base 8) to base 11
-76654
What is -1143001231 (base 5) in base 9?
-5070224
What is -30432043 (base 5) in base 9?
-418532
What is -10110010101110011 (base 2) in base 8?
-262563
-320320 (base 5) to base 14
-3c90
What is 1021033222 (base 4) in base 7?
2356444
-1023001001 (base 4) to base 6
-10330305
Convert -79856 (base 12) to base 9.
-266103
-42a352 (base 11) to base 7
-5561355
2032205 (base 9) to base 11
680628
What is -681057 (base 9) in base 3?
-202201001221
Convert -c6951 (base 13) to base 8.
-1272175
Convert -682364a (base 11) to base 10.
-11951829
1cd38 (base 14) to base 9
122377
Convert 1320220010 (base 4) to base 15.
9b5de
Convert 1101201212021 (base 3) to base 4.
2311111132
Convert -11222212221200 (base 3) to base 4.
-22020030012
-20dc2d (base 15) to base 13
-42a66c
Convert -116e5 (base 16) to base 12.
-35399
Convert -1220340 (base 8) to base 5.
-41223341
What is 40521270 (base 8) in base 5?
4142430321
Convert -114703 (base 10) to base 16.
-1c00f
Convert -212001022210 (base 3) to base 11.
-28a942
1001011111010001 (base 2) to base 14
10241
What is -23012243 (base 5) in base 10?
-204073
What is 1b65c7 (base 13) in base 6?
22555050
-513109 (base 10) to base 5
-112404414
Convert -135ac4 (base 14) to base 4.
-2203103330
5c3 (base 15) to base 12
910
cc4d08 (base 14) to base 7
112614311
What is 1495888 (base 11) in base 2?
1001101111110101110101
49a803 (base 12) to base 2
100100101000100000011
Convert 2405011 (base 6) to base 11.
86324
What is 5611676 (base 11) in base 6?
550531404
-110110010001101001 (base 2) to base 9
-367854
Convert 448e6 (base 16) to base 13.
9aa76
244a77 (base 12) to base 8
2176373
Convert 4497e (base 15) to base 7.
1565663
What is 11110001202 (base 3) in base 8?
252747
Convert -36447 (base 11) to base 2.
-1100110011011100
What is 126543 (base 13) in base 5?
103124442
122000012111 (base 3) to base 9
560174
-c54a81 (base 13) to base 8
-21451610
16053553 (base 7) to base 13
420295
What is -11110000011000111 (base 2) in base 12?
-5b287
Convert -2122333132 (base 4) to base 3.
-1012020211211
Convert -724111 (base 9) to base 6.
-13112144
Convert 21211010001012 (base 3) to base 8.
17663704
Convert 4405444 (base 8) to base 14.
22ad24
What is 100101101001110000 (base 2) in base 11?
a5964
Convert 124174 (base 8) to base 13.
1682b
29ab9 (base 16) to base 15
3588b
6b903 (base 13) to base 7
1450340
What is -21103 (base 7) in base 4?
-1101031
Convert -1123101 (base 5) to base 2.
-100111110110001
What is -313747 (base 10) in base 3?
-120221101021
What is 20122221201000 (base 3) in base 2?
1101100000101111101011
2431343124 (base 5) to base 4
111313023133
Convert 1015144224 (base 6) to base 15.
de7284
Convert -215452523 (base 6) to base 4.
-32322300003
What is 110101001110111011 (base 2) in base 9?
362080
What is -a699 (base 15) in base 3?
-1210100100
Convert 13234a4 (base 12) to base 3.
21010000221221
-134765 (base 11) to base 15
-428b1
-23551 (base 6) to base 15
-1051
Convert -1012221201112 (base 3) to base 16.
-9e5a0
What is 2e337 (base 15) in base 5?
14233402
What is 1110011001000010100110 (base 2) in base 3?
21002200000021
a2785 (base 13) to base 4
1013013200
Convert 660154 (base 9) to base 3.
202000011211
-54261 (base 15) to base 8
-1011636
5606025 (base 7) to base 5
134104124
-5914b (base 12) to base 14
-31751
-36366 (base 13) to base 10
-99456
-101321 (base 12) to base 13
-8a340
What is -31114203 (base 6) in base 5?
-212141400
What is -b198 (base 12) in base 9?
-28378
What is -345837 (base 10) in base 16?
-546ed
Convert -221222131102 (base 4) to base 5.
-10243444220
-132c2a (base 13) to base 10
-463434
1011001001101111101010 (base 2) to base 9
5445251
What is 1101702 (base 11) in base 4?
13120113020
What is -112300434 (base 6) in base 7?
-23435344
Convert -1001440 (base 6) to base 4.
-23133000
What is 4741554 (base 8) in base 7?
14003062
14756007 (base 8) to base 7
40613432
-224300304 (base 5) to base 6
-33345222
Convert -2726c0 (base 14) to base 12.
-552080
What is -24113211 (base 5) in base 9?
-368721
69d24 (base 14) to base 3
111002121010
What is 312431441 (base 5) in base 3?
2102211121020
What is 1abc4c (base 14) in base 8?
3510334
What is 5515 (base 10) in base 14?
201d
Convert -121121002303 (base 4) to base 14.
-c53a15
-10404422 (base 6) to base 2
-1001100001011111110
1382755 (base 9) to base 10
763151
-dd0b (base 14) to base 11
-267a6
-43524422 (base 6) to base 12
-529712
Convert 99405 (base 11) to base 2.
100011001101101101
What is -bc02c (base 15) in base 13?
-17bc02
Convert 307161 (base 8) to base 16.
18e71
-1241bd (base 14) to base 4
-2120311023
7986bd (base 16) to base 6
442411553
-2562322 (base 10) to base 15
-359317
What is -13bba (base 14) in base 5?
-3031333
What is -33ceaf (base 16) in base 7?
-40600452
What is -230232323 (base 5) in base 9?
-1830705
64334400 (base 8) to base 10
13744384
What is -34f8fa (base 16) in base 5?
-1342042420
What is -32154133 (base 8) in base 4?
-122031201123
What is -d09a (base 16) in base 9?
-81225
Convert -c5a597 (base 13) to base 3.
-22200210011210
What is 1162143 (base 7) in base 12?
72710
What is 98a856 (base 16) in base 3?
200211021200111
What is 1120340202 (base 5) in base 12?
a117b3
What is -1140553010 (base 6) in base 15?
-12040d0
What is -6603402 (base 8) in base 11?
-aaa862
63056 (base 14) to base 9
403517
-22122200222101 (base 3) to base 5
-2134144343
185e62 (base 15) to base 16
1212ec
Convert 169815 (base 10) to base 9.
277843
What is -1a5738 (base 11) in base 14?
-82b24
What is 644015 (base 8) in base 16?
3480d
What is -4b188 (base 16) in base 8?
-1130610
Convert -331166 (base 9) to base 4.
-300101010
Convert -27750204 (base 8) to base 6.
-342330500
Convert -d5407 (base 14) to base 4.
-1331131333
Convert 2dd3 (base 16) to base 9.
17074
Convert 3300304 (base 12) to base 8.
45012664
What is -220301055 (base 6) in base 11?
-2253218
-18bb61 (base 15) to base 8
-4457542
Convert 222342 (base 5) to base 11.
5994
Convert -334607 (base 10) to base 11.
-209439
What is 2102375 (base 8) in base 15?
b0673
What is 1481826 (base 11) in base 16?
26af34
Convert ba72d (base 14) to base 2.
1101110001101100101
-10302701 (base 8) to base 6
-115030545
Convert c3813 (base 13) to base 10.
350691
What is -3c8a (base 14) in base 5?
-320311
What is -248043 (base 13) in base 7?
-10301310
What is 835338 (base 12) in base 15?
2aae55
Convert -2573150 (base 9) to base 7.
-14645124
-31731b (base 14) to base 13
-466ba0
Convert 20020301000 (base 4) to base 13.
598b83
Convert 4f41a (base 16) to base 13.
b49bb
Convert 633a8 (base 16) to base 3.
202122112100
What is 10000000011001000110 (base 2) in base 12?
214406
What is -191832 (base 10) in base 7?
-1426164
Convert -102112120210122 (base 3) to base 6.
-335241112
-113386 (base 15) to base 2
-11001000011010111110
What is 3959ca (base 14) in base 4?
13202021132
What is -c950 (base 13) in base 11?
-19aaa
What is -354cb (base 13) in base 16?
-17ce7
Convert 101121010202 (base 3) to base 7.
1526102
Convert -1886010 (base 12) to base 15.
-6bbbc3
Convert 97b9 (base 14) to base 6.
321235
What is -123630666 (base 7) in base 6?
-440430033
-ece65 (base 16) to base 2
-11101100111001100101
4b038 (base 14) to base 5
21341043
15602503 (base 7) to base 9
2756187
Convert 23322423 (base 5) to base 13.
765c3
Convert 35ba9 (base 14) to base 8.
400311
What is aba58b (base 16) in base 15?
ec30aa
Convert 11012110 (base 4) to base 11.
14766
What is 1125b51 (base 14) in base 7?
126234331
What is -14523100 (base 7) in base 12?
-568b5a
Convert 8ab543 (base 15) to base 6.
353514043
What is 5
|
{
"pile_set_name": "DM Mathematics"
}
|
-8*x + 4*j + 20 = -4*x. Suppose 0 = -2*o - r*o + x*p + 83, 2*p = -2*o + 38. What is the units digit of o?
0
Let j(o) = 31*o + 3. Let x be j(4). Suppose q + 2*c - 5*c = -55, 2*c - 223 = 5*q. Let y = x + q. What is the tens digit of y?
8
Suppose -c - 100 = -5*c. Suppose -2 = 24*p - c*p. Suppose -2*o - 3*a + 111 = 0, p*o + 4*a - 99 = 7. What is the units digit of o?
3
Suppose 0 = -3*v - 15, 9*v - 4*v = t - 24. What is the hundreds digit of -4 + t + (322 - 6)?
3
Let w be 690/1 + (0 - 5). Suppose -w = 9*f + 1061. Let t = 301 + f. What is the tens digit of t?
0
Let o be 5 + 1 + (-23 - -23). Suppose -8*r - 2316 = -5*i - o*r, 4*i - 1842 = -2*r. What is the tens digit of i?
6
Let l(u) = -u**3 + 15*u**2 - u + 18. Suppose 45 = -2*k + 5*k. Let h be l(k). What is the hundreds digit of ((-250)/6)/((-1)/h)?
1
Let b = 38321 + -19588. What is the tens digit of b?
3
Suppose -q + 31954 = 4*o, 15*o + 4*q = 12*o + 23946. What is the units digit of o?
0
Let j = 76108 + -43017. What is the tens digit of j?
9
Let m(g) = g**3 + g**2 + 17. Let z be m(0). Suppose 14198 + 6644 = z*l. What is the hundreds digit of l?
2
Let q(l) = 294*l**3 + 52*l - 214. What is the units digit of q(5)?
6
Let u(v) = 1538*v**2 + 3*v + 19. What is the hundreds digit of u(-3)?
8
Let y(v) = 419*v**2 + v + 27 - 2*v - 2*v + 78*v**2 - 13*v. What is the thousands digit of y(2)?
1
Let h = -30 - -26. Let r be 1 - h/(-2 - -4). Suppose b + 2 = 0, -2*s + r*b + 117 + 65 = 0. What is the tens digit of s?
8
Suppose 0 = 2*s + 4*c + 2, 5 - 3 = -2*s + c. What is the hundreds digit of (s + -5 - 2*-2) + 798?
7
Suppose -2*d = -5*d + 3. Let q = 382 + -233. Let u = d + q. What is the units digit of u?
0
Let n(l) = l**2 + 38*l. Let a be n(-38). Suppose -3*v - 9*h = -6*h - 2514, -3*v + 4*h + 2514 = a. What is the units digit of v?
8
Let s(y) = 5*y + 0*y**3 - 2*y - 22 + 15*y + 32*y - 14*y**2 + y**3. What is the tens digit of s(14)?
7
Let n = -42874 - -64927. What is the hundreds digit of n?
0
Let f = 1178 - 782. Suppose 19*z = -2*n + 14*z + f, 3*z - 200 = -n. What is the tens digit of n?
8
Let g = -20 + 23. Suppose -3*k = 2*w - 74, 79 = g*k + w - 0*w. What is the tens digit of ((-300)/k + 3)/(2/(-28))?
0
Let g be (-170)/(-3) + (-2)/(-6). Let d be (-2 + -23)/(116/116). Let l = d + g. What is the units digit of l?
2
Let m = -9256 + 13764. What is the thousands digit of m?
4
Let a(j) be the first derivative of -53*j**4/6 - j**3/3 - 7*j**2/2 - 30. Let n(v) be the second derivative of a(v). What is the tens digit of n(-1)?
1
Let a(u) = 18 + 24 - 31 + 4*u. Let i be a(0). What is the tens digit of (i/(-1))/(20/(-100))?
5
Suppose -6 + 2 = 2*r, -64 = -5*m + 2*r. Let y(t) = -31*t + 11. Let l(i) = -38*i + 12. Let s(c) = -5*l(c) + 6*y(c). What is the tens digit of s(m)?
5
What is the hundreds digit of (-547*(-5)/20)/((-12)/(-2592))?
5
What is the units digit of ((-689)/(-2))/(18 - 1284/72)?
7
Let k = -27097 - -52090. What is the units digit of k?
3
Let i(v) = -v**3 + 27*v**2 - 72*v + 1. Let c be i(24). What is the units digit of c - 5 - (-9240)/8?
1
What is the units digit of (-2*(-2)/(-6))/((-566)/32624523)?
7
Suppose -126*v - 45*v + 15203424 = 87*v. What is the ten thousands digit of v?
5
Let r(i) = -i**2 + 32*i - 68. Let d be r(10). Let l = d + -35. What is the units digit of l?
7
Let m = 78 - 38. Let i be 9/(-6)*(m/(-6))/2. Suppose h - i*b = -h + 346, 4*b = -8. What is the tens digit of h?
6
Let m = -61 - -113. Let d = -47 + m. Let c = d - 1. What is the units digit of c?
4
Let z(s) = -179*s + 1. Suppose -133 = -6*g - 175. What is the thousands digit of z(g)?
1
Let u be (2 - 0)/((-2)/(-4)). Suppose -i = 0, 4*i + 156 = -u*d + 1028. Suppose 0 = 7*v - d - 111. What is the tens digit of v?
4
Suppose 130198 + 79634 = 15*b + 27*b. What is the hundreds digit of b?
9
Suppose -594*j + 653*j - 1069670 = 0. What is the ten thousands digit of j?
1
Suppose -11*d - 39316 = -12*d - 4*b, -3*d - 3*b + 117903 = 0. What is the ten thousands digit of d?
3
Suppose 11*x - 35765 = -3*c + 9*x, -4*c + 2*x + 47682 = 0. What is the thousands digit of c?
1
Let m = 50069 - 33073. What is the tens digit of m?
9
Suppose 20*y - 6*y + 9484266 = 201*y. What is the thousands digit of y?
0
Suppose 3*j = 11*i - 7*i + 137, 2*i = -5*j - 101. Let s = 100 + -207. What is the tens digit of (-19)/i + s/(-2)?
5
Suppose -4*j + 798 = -11*j. What is the tens digit of ((-241)/(-4) - 1)/(j/(-1216))?
3
What is the units digit of (-6 - (-42)/9)/((-2)/24573)?
2
Suppose 0 = 2*q + 4*c - 7*c + 109, 5*q = 5*c - 260. Let i = q + 154. What is the hundreds digit of i?
1
Let o be -2 - (5 + -10) - 4/2. Let t be o + 14/(-7) - 1*125. What is the units digit of 2/(-9) + (-11998)/t?
5
Let m be 68/136*(1 - 1) + 62. Suppose 3*d + 108 = 4*r - 8, -119 = 3*d - r. Let v = m - d. What is the tens digit of v?
0
Let v(k) = 2. Let d(m) = -58*m**2 + 4*m - 5. Let w(g) = -d(g) + v(g). What is the units digit of w(2)?
1
Let h = 376 - 378. Let f(r) be the first derivative of -9*r**4/4 - 4*r**3/3 - r**2/2 + 3*r - 2. What is the units digit of f(h)?
1
Let l(n) be the first derivative of n**4/4 - 2*n**3 + n**2 - 47*n - 70. What is the units digit of l(8)?
7
Let o(h) = 4*h**2 + 75*h - 231. What is the tens digit of o(71)?
5
Let i(p) = -12*p - 23. Let o be i(-13). Suppose 3*v + 3*m - 4*m = -30, 5*m - 6 = -v. Let k = v + o. What is the units digit of k?
4
Let v = 67 - 68. What is the units digit of (v - -50) + 0 + (-3 - -3)?
9
What is the thousands digit of (98/35*206)/(20/50)?
1
What is the thousands digit of 93249/12 + 27/108?
7
Suppose -6 - 14 = -5*p. What is the tens digit of (5 + -5 + 507)/(6/p)?
3
Suppose 3*n - 16809 = -4*a - 340, -3*a = -4*n - 12358. What is the hundreds digit of a?
1
Let x = 173 - 171. Suppose -3*u = -15, 2*u + 2231 + 1693 = x*l. What is the tens digit of l?
6
Let h(d) be the second derivative of -4*d**3 + 85*d**2/2 - 7*d. What is the tens digit of h(-13)?
9
Suppose -2*m + 130 = 3*m. Suppose -27*g = -m*g. Suppose 3*o + 0*o + 2*z = 93, g = z. What is the units digit of o?
1
Let h(q) = -2*q**3 - 103*q**2 + 4*q + 226. What is the thousands digit of h(-52)?
2
Suppose 3*d = n - 4802, -39*d + 42*d = -5*n + 24082. What is the thousands digit of n?
4
Let n = 1 - -62. Let q(f) = n*f + 2*f - 5 - 2*f. What is the hundreds digit of q(3)?
1
Suppose 52*c - 50*c - 658 = 0. What is the hundreds digit of (c - (-4)/(-1)) + (3 - 4)?
3
Let v(f) = f + 13. Let k(l) = -8*l**2 + 305*l**3 - 8*l - l**2 - 306*l**3. Let r be k(-8). What is the tens digit of v(r)?
1
What is the units digit of (19 + 0)*(173 - 165)?
2
Let h be -16*(-4)/16 + (-3 - 1). Suppose -179*l + 183*l - 3044 = h. What is the units digit of l?
1
Let x(c) = -15*c - 19. Let t(o) = -2*o**3 - 4*o**2 - o + 8. Let n be t(2). What is the hundreds digit of x(n)?
3
Let v = 58290 - 22218. What is the units digit of v?
2
Suppose -57450 = -5*a - 3*w, 11344 = 5*a + w - 46096. What is the hundreds digit of a?
4
Suppose 0*a - 2*a = 2*s - 74, 2*s = 2. Let x = a - 26. Suppose -108 = 8*z - x*z. What is the units digit of z?
4
Let f(u) be the first derivative of -7*u**2 - 13*u + 237. Suppose 4*r + 12 = 3*k - 4*k, -2*k + 4*r = 0. What is the units digit of f(k)?
3
Suppose -4*b = -12*b + 40. Suppose -4*h + 3*z + 0*z - 19 = 0, -5*z + b = 0. What is the tens digit of ((12/(-9))/h)/(3/468)?
5
Let d = -26169 + 36894. What is the units digit of d?
5
Suppose 2*n = d + 210, -4*d - 3*n = -7*d - 618. Let s = -548 - -858. Let m = d + s. What is the tens digit of m?
0
Let z be -3 + 8/(-2) + -36941. What is the hundreds digit of -3*((-4)/10 - z/(-180))?
6
Suppose -583*v = -698*v + 4686940. What is the hundreds digit of v?
7
Let f = 79 - 159. Let u = 320 + -100. Let n = u + f. What is the tens digit of n?
4
Let r be -2 + 3/(0 + -3). Let w be 26*r/6 - (2 + -3). Let z = w + 17. What is the units digit of z?
5
Suppose 103*r - 633600 = 51*r + 32*r. What is the ten thousands digit of r?
3
Suppose -656368 + 94456 = -52*r. What is the ten thousands digit of r?
1
Suppose -512*k + 523*k = 44. Suppose -4*c + 2*s = -1386, k*c = -s + 1727 - 356. What is the units digit of c?
4
Let h(g) = -1458*g + 329. What is the units digit of h(-3)?
3
Suppose -a - 5*o = -12433, -20837 = -3*a - 5*o + 16422. What is the thousands digit of a?
2
Let f(y) be the third derivative of -y**5/60 - 7*y**4/24
|
{
"pile_set_name": "DM Mathematics"
}
|
11*c**2 - 28*c + 86. Let y(o) = -6*q(o) - 25*s(o). Factor y(i).
-5*(i - 4)**2
Let m(c) be the third derivative of -c**8/21 + 12*c**7/35 - 97*c**6/120 + 3*c**5/5 - c**4/6 + 2*c**2 - 21. Factor m(h).
-h*(h - 2)**2*(4*h - 1)**2
Let d(s) be the third derivative of -s**7/735 - 3*s**6/280 + s**5/105 + 3*s**4/14 + 8*s**3/21 + 6*s**2 - 2. Let d(m) = 0. Calculate m.
-4, -2, -1/2, 2
Suppose -2*b + t = -1 - 0, -5 = -5*b + 5*t. Suppose -14 = -7*f - b*f. Determine i, given that 2/5*i + 0*i**f - 2/5*i**3 + 0 = 0.
-1, 0, 1
Let t(h) be the second derivative of -h**7/21 - 11*h**6/15 - 9*h**5/10 + 11*h**4/6 + 10*h**3/3 - 41*h - 2. Determine x so that t(x) = 0.
-10, -1, 0, 1
Let u(h) = -7*h**4 + 3*h**3 - h**2 + 3*h - 4. Let l(m) = m**4 - m**3 + 1. Let f(k) = 6*l(k) + u(k). Factor f(q).
-(q - 1)*(q + 1)**2*(q + 2)
Let d(m) be the first derivative of m**5/150 - m**3/15 + 3*m**2 - 3. Let r(t) be the second derivative of d(t). Factor r(n).
2*(n - 1)*(n + 1)/5
Let z(n) be the third derivative of 5/336*n**8 + 0*n - 1/24*n**6 - 1/21*n**7 + 1/6*n**5 + 0*n**3 + 0*n**4 + 0 + 3*n**2. Factor z(w).
5*w**2*(w - 2)*(w - 1)*(w + 1)
Suppose -101 = -18*j + 7. Let v(q) be the second derivative of 0*q**5 - 1/3*q**3 - 1/30*q**6 - j*q + 0 + 1/4*q**4 + 0*q**2. Determine l, given that v(l) = 0.
-2, 0, 1
Let d(v) = -v**2 + 10*v + 5. Let r be d(10). Factor 5 - 39*o**2 - 18*o**3 - r - 8 - 4 - 36*o - 3*o**4.
-3*(o + 1)**2*(o + 2)**2
Let j(n) be the second derivative of n**5/20 + n**4/4 + n**3/3 + 18*n + 1. Factor j(d).
d*(d + 1)*(d + 2)
Let p(i) be the first derivative of -1/10*i**2 + 0*i + 15 + 1/15*i**3. Factor p(n).
n*(n - 1)/5
Let f(b) be the first derivative of -35*b**4/16 - 25*b**3/6 - 15*b**2/8 + 124. Factor f(s).
-5*s*(s + 1)*(7*s + 3)/4
Suppose 45*x - 252 = -18*x. Find o such that 0*o**2 - 3/2*o**3 + 0 + 0*o + 3*o**x - 3/2*o**5 = 0.
0, 1
Let r(u) = -25*u**5 + 260*u**4 - 640*u**3 + 315*u**2 + 5. Let g(m) = -12*m**5 + 130*m**4 - 320*m**3 + 157*m**2 + 3. Let d(h) = -5*g(h) + 3*r(h). Factor d(z).
-5*z**2*(z - 4)**2*(3*z - 2)
Let r = 289 - 67. Factor -17*b**3 - r*b + 6*b**2 + 222*b + 5*b**4.
b**2*(b - 3)*(5*b - 2)
Let c(s) be the first derivative of -s**4/2 - 32*s**3/3 - 45*s**2 + 324*s + 72. Suppose c(z) = 0. What is z?
-9, 2
Let v(f) be the first derivative of -10 + 0*f - 2/33*f**3 + 1/11*f**2. Factor v(h).
-2*h*(h - 1)/11
Let c(b) be the third derivative of -b**8/1848 - b**7/165 + b**6/660 + 7*b**5/330 + 6*b**2 - 6. What is u in c(u) = 0?
-7, -1, 0, 1
Let w = 1274 + -1271. Factor -15*o**2 - 57/4*o - 9/2 - 9/2*o**w + 3/4*o**5 + 3/2*o**4.
3*(o - 3)*(o + 1)**3*(o + 2)/4
Let w be 2/((-4)/(-24)*-2). Let g be ((-4)/w)/((-2)/(-6)). Suppose l + 0*l - 6*l**g - 2 + 2*l**3 + 5*l = 0. Calculate l.
1
Let j(s) be the third derivative of -s**8/1848 - s**7/231 + s**6/30 - 8*s**5/165 - 391*s**2. Suppose j(n) = 0. What is n?
-8, 0, 1, 2
Let a(d) be the third derivative of 49/4*d**3 + 0*d + 0 + 1/40*d**5 - 20*d**2 - 7/8*d**4. Factor a(c).
3*(c - 7)**2/2
Factor 107*u + 14*u - 7010 + 165 + 29*u + 220*u - 5*u**2.
-5*(u - 37)**2
Let p(m) be the first derivative of 7*m**5/30 + 25*m**4/12 + 37*m**3/6 + 25*m**2/3 + 16*m/3 + 862. Let p(w) = 0. Calculate w.
-4, -8/7, -1
Let t(s) be the second derivative of -s**6/120 + s**5/20 - s**4/8 + 3*s**3 - 13*s. Let y(b) be the second derivative of t(b). Factor y(o).
-3*(o - 1)**2
Suppose -166 + 199 = 11*z. Solve 88/3*l**2 - 46/3*l**z - 4/3 - 38/3*l = 0 for l.
-2/23, 1
Let k be (6 - 6) + 2 + (8/30 - 2). Factor 0 - 2/3*t**2 + k*t + 2/5*t**3.
2*t*(t - 1)*(3*t - 2)/15
Let s be (14/77)/(80/22). Let g(v) be the second derivative of 1/36*v**4 + 0 + s*v**5 + 1/30*v**6 + 0*v**2 + 0*v**3 + 1/126*v**7 - 3*v. Factor g(p).
p**2*(p + 1)**3/3
Let q = -30 + 33. Factor -1 - 2*m + m + m**2 + 5*m**q - 4*m**3.
(m - 1)*(m + 1)**2
Let p(q) = -63*q + 14. Let t be p(2). Let h = 115 + t. What is i in -h*i + 3/2 + 3/2*i**2 = 0?
1
Let n be (-21)/(-9)*(-2)/(-7). Let h = 3965 - 3965. Determine k so that n*k + h - 2/3*k**2 = 0.
0, 1
Suppose 5*q - 20 = -0*q. Factor 2*t**4 - 5*t**3 + t**5 - 3*t**5 + q*t**3 + t**5.
-t**3*(t - 1)**2
Let c be (1 + (-2)/8)/((-15)/240). Let x be (-7 - (-366)/60)*10/c. Factor 3/4*l**2 + x*l + 1/4 + 1/4*l**3.
(l + 1)**3/4
Let j(f) be the third derivative of f**6/720 - 7*f**4/144 - f**3/6 + 3*f**2 + 6*f. Factor j(q).
(q - 3)*(q + 1)*(q + 2)/6
Let s be 9/((-81)/(-15))*(-78)/(-325). Find m, given that 17/5*m + 2/5*m**2 - 17/5*m**3 - s = 0.
-1, 2/17, 1
Let g(z) be the third derivative of 0*z**4 + 24*z**2 + 0*z**3 + 1/40*z**5 + 1/160*z**6 + 27/448*z**8 - 3/28*z**7 + 0*z + 0. Suppose g(u) = 0. Calculate u.
-2/9, 0, 1/3, 1
Let p be 0 + 3/6*20. Let b = p + -8. Solve 17*z**b - 3*z + z - 20*z**2 = 0 for z.
-2/3, 0
Let o = -13849/84 - -559/21. Let u = o + 139. Factor -1/4 - 3/4*q - 1/4*q**3 - u*q**2.
-(q + 1)**3/4
Let w(s) be the third derivative of -s**6/90 + s**5/45 + 5*s**4/18 + 2*s**3/3 - 4*s**2 - 32. Factor w(h).
-4*(h - 3)*(h + 1)**2/3
Let p(n) be the first derivative of -n**6/21 + 4*n**5/105 + n**4/6 + 4*n**3/63 + 172. Suppose p(t) = 0. What is t?
-1, -1/3, 0, 2
Let a be (-14 + 0)/(17/119). Let d = a + 884/9. Let -2/9*p**3 + d*p + 4/9 - 4/9*p**2 = 0. What is p?
-2, -1, 1
Let b(l) = l**3 - 15*l**2 - 32*l + 258. Let w be b(16). Determine o, given that 8/3*o**w + 0 + 0*o - 4*o**3 = 0.
0, 2/3
Suppose -98 = -14*o - 70. Let x(q) be the third derivative of 0 + 1/48*q**4 + 0*q - q**o + 0*q**3 + 1/240*q**5. Solve x(b) = 0.
-2, 0
Let a(j) be the second derivative of j**4/3 - 140*j**3/3 + 2450*j**2 - 18*j + 4. Suppose a(i) = 0. Calculate i.
35
Factor -1822 - 1788 + 180*v**2 - 745*v + 5*v**3 + 973*v + 1197*v.
5*(v - 2)*(v + 19)**2
Let t(r) = r**3 - 4*r**2 - r. Let y be t(4). Let u be (-8 + 3)/(3 + y). What is j in 8*j**4 + 6*j**3 - 8*j - 15*j**2 - 3*j**u + 6*j**2 + 5*j**5 + j**2 = 0?
-2, -1, 0, 1
Suppose -84*q = -5*s - 85*q + 12, -4*q = -2*s + 18. Suppose 6*v - 2*v - 5*n = 18, 0 = -3*v + 3*n + 12. Factor -1/2*x + 1/2*x**4 - 1/2*x**v + 0 + 1/2*x**s.
x*(x - 1)*(x + 1)**2/2
Let n(x) be the first derivative of -3/7*x**3 - 6/7*x**2 + 34 + 0*x. Factor n(r).
-3*r*(3*r + 4)/7
Let d(u) = -17*u + 167. Let v be d(23). Let q be (v/12)/7*3/(-4). Factor 0 + 4/9*t**3 - 2/9*t**q - 2/9*t.
2*t*(t - 1)*(2*t + 1)/9
What is j in -127 + 4*j**2 - 79 + 242 + 24*j = 0?
-3
Factor 94*f + 14*f**2 + 2 - 2 - 25*f**2 + 10*f**2.
-f*(f - 94)
Suppose 4*j + 13*j**3 + 40/3*j**2 + 5*j**4 + 2/3*j**5 + 0 = 0. What is j?
-3, -2, -1/2, 0
Let o be ((-4)/(-40))/((0 - -3)/504). Let d(s) = s**3 - 5*s**2 + 5*s - 23. Let w be d(5). Factor -o*u**w + 3/5*u + 6/5.
-3*(4*u + 1)*(7*u - 2)/5
Let u(c) be the first derivative of c**3/2 + 105*c**2/4 + 51*c + 10. Factor u(v).
3*(v + 1)*(v + 34)/2
Let s be (((-7)/2)/7)/(-3 + 2). Factor -1/2*i + 1/2*i**3 + 1/2*i**2 - s.
(i - 1)*(i + 1)**2/2
Let o = 1086 - 1086. Let g(q) be the third derivative of 1/240*q**5 + 0*q + 12*q**2 + o*q**4 + 0 - 1/24*q**3. Factor g(r).
(r - 1)*(r + 1)/4
Let f = 4554 + -22764/5. Suppose -f + 17/5*z**3 - 31/5*z**2 + 23/5*z - 3/5*z**4 = 0. Calculate z.
2/3, 1, 3
Let u(c) be the second derivative of -1/200*c**6 + 0*c**2 + 1/6*c**3 + 1/50*c**5 + 0 - 2*c + 1/10*c**4. Let m(s) be the second derivative of u(s). Factor m(n).
-3*(n - 2)*(3*n + 2)/5
Let i(u) be the third derivative of u**5/75 + 23*u**4/30 - 5*u**2 + 5. Find y such that i(y) = 0.
-23, 0
Let z be -9*(24/(-27))/4. Let t be 1/z + (-1511)/(-2). Factor -1274*p**3 + 146*p**4 - 188*p - t*p**2 + 4*p - 832*p**4 - 16.
-2*(p + 1)*(7*p + 2)**3
Let s(f) = f**3 - f. Let m be (-18)/(-4) + 3/(-6). Let r(l) = -2*l**3 + 2*l. Suppose 5*n - 3*n - 14 = 0. Let x(v) = m*r(v) + n*s(v). Factor x(b).
-b*(b - 1)*(b + 1)
Let d(w) be the third derivative of 0*w + 3/20*w**6 + 0*w**3 - 7*w**2 - 1/70*w**7 - 9/20*w**5 + 0*w**4 + 0. Find v, given that d(v) = 0.
0, 3
Let p = -58 + 106. Let x be 4/((-16)/12) + 5. Solve -32*d**2 - 2*d**2 - 64*d**x + p*d + 8*d - 8 = 0.
2/7
Let p(a) = -14*a - 126. Let h(x) = 9*x + 84. Let o(n) = 8*h(n) + 5*p(n). Let t be o(-20). Solve 8/3*m**3 + 4*m**2 + t*m**5 - 16/3*m**4 + 4/3 - 14/3*m = 0 for m.
-1, 2/3, 1
Let a(u) = u**3 + 2*u**2 - 2*u - 3. Let v be a(-1). Let t(n) be the first derivative of -4 + 1/2*n**4 + v*n**2 + 0*n + 2/5*n**5 + 0*n**3. Factor t(g).
2*g**3*(g + 1)
Let w(p) = -3*p**3 - p - 4. Suppose 3*x - 10 =
|
{
"pile_set_name": "DM Mathematics"
}
|
d(q) = 7*k(q) + 2*t(q). Determine d(5).
9
Let k = 126 - 110. Suppose -4 + k = 2*z. Let o(u) = -1 + 8*u - u**2 + 0*u - z*u. What is o(1)?
0
Let i(t) = 4*t**2 + 14*t + 31. Let z(v) = -2*v**2 - 7*v - 15. Let s(n) = -6*i(n) - 13*z(n). Calculate s(-5).
24
Let f(i) = -i**2 - 3*i - 1. Let x = 23 - 47. Let v(r) = 5*r + 116. Let d be v(x). Calculate f(d).
-5
Let i = 114 + -111. Let t(b) = -b**2 + 7*b - 1. Let u(v) = 2*v**2 - 13*v + 2. Let j(w) = i*u(w) + 5*t(w). Determine j(4).
1
Suppose -2*t + t = -14. Suppose -17*d + 12 = -t*d. Let h(f) = -1 + 9*f - d*f - 3*f + 7*f**3. Calculate h(1).
8
Let p(q) = q**3 + 5*q**2 + 6*q - 1. Suppose -8 = -71*d + 69*d. Suppose -3*m = 2*r - 4*m + 8, -d*m = 8. What is p(r)?
-31
Let u = 14808 + -14813. Let j(d) = -7*d - 28. What is j(u)?
7
Let p(h) = -2*h - 4. Let d be p(4). Let x(t) = 2*t**3 + 13*t**2 - 24*t - 107. Let o(n) = n**3 + 6*n**2 - 12*n - 59. Let r(j) = -9*o(j) + 5*x(j). Determine r(d).
-4
Let t(y) = -2*y + 1. Let c(g) = -7*g + 55. Let j be c(15). Let b = 50 + j. Suppose b = 4*l - u + 13, -l + 2*u - 4 = u. What is t(l)?
7
Let r be 1/(-5) - 228/10. Let o(s) = -28 + 86*s + 20*s**3 - 8*s**3 - 23*s**2 - 87*s - 13*s**3. Determine o(r).
-5
Let i(n) = 3*n - 2*n - 2*n - n**2 - 5. Suppose 0 = -4*s + 6 + 6. Suppose -10*q - s*q = 0. Give i(q).
-5
Let a = -9 + 15. Let k = -1 + a. Let q(v) = -v - 1. Let s(d) = d**2 - 5*d - 5. Let z(t) = q(t) - s(t). Give z(k).
-1
Let u(k) = -k**2 - k. Let g(y) = -3*y**2 - 13*y + 5. Let c(i) = g(i) - 4*u(i). Suppose -n = 6*b - 10*b + 38, 5*b = -5*n + 35. What is c(b)?
5
Let a(l) = -l**3 + 9*l**2 + 28*l - 59. Let b be a(11). Let o(d) = -d**2 - 9*d + 26. Give o(b).
-86
Let w(y) be the third derivative of -y**4/12 + 2*y**3 - 125220*y**2. Let r be -1 + (0 + 2 - 1). Calculate w(r).
12
Let f(w) = w**2 - 27 - 3*w + 59 - 31. Determine f(-6).
55
Let u(l) = -2*l**2 - 15*l. Let k be (23/161*98)/(2*-1). Give u(k).
7
Let l(o) = -3*o + 4. Let p(x) = -x**2 - 11*x - 70. Let d(f) = 2*l(f) + p(f). What is d(-5)?
-2
Let f(u) = 15*u - 17. Let h be f(9). Suppose -4*b - h + 94 = 0. Let r(x) = x**2 + 3*x - 8. What is r(b)?
10
Let r(q) = -52 + 105 + 10*q - 57. Let w be r(0). Let u(d) = d**3 + d**2 - 4*d - 3. Give u(w).
-35
Suppose 113*j + 680 = 133*j. Let k be j/8 - 6/(-8). Let r(f) = 2*f - 12. Give r(k).
-2
Let n = -503 + 505. Let l(b) = -2 - 4 + 7*b + 7*b**2 + 2*b**2 - 10*b**n. Determine l(4).
6
Let i(v) = v**2 - 8*v + 10. Suppose -297*s + 1592 = -98*s. What is i(s)?
10
Let b(j) be the second derivative of -13*j**6/720 + j**5/24 + 7*j**4/6 + j**2 + 5*j + 28. Let t(g) be the third derivative of b(g). What is t(2)?
-21
Let x(d) = 83 + 26*d + 7*d - 51232*d**2 + 51233*d**2 - d. Determine x(-28).
-29
Let v(i) = 0*i**2 + 3 + 14 - 22*i**3 - 10*i**2 - 14*i + 23*i**3. Let b be v(11). Let m be 1 + 2/4 + 8/b. Let n(u) = -14*u - 1. What is n(m)?
-15
Let l(r) = 2*r**2 - r. Suppose -11*x + 887 = -994. Let n = x + -172. Calculate l(n).
3
Let c(b) be the first derivative of 7*b**2 + 3*b - 2/3*b**3 - 17. Let m be c(7). Let d(p) = p - 3. What is d(m)?
0
Let n(g) = -g**2 + 7*g - 7. Let i(y) = -11*y - 45. Let a be i(-8). Let k = a + -33. Suppose -13*j + k = -11*j. Determine n(j).
3
Let y be (-40)/(12/3)*262/(-655). Let f(w) = 40*w - 152. What is f(y)?
8
Let x(c) = 32*c + 27 - 38 - 52 + 2 - 61. Give x(4).
6
Let b(z) be the third derivative of z**6/120 - z**5/2 - 5*z**4/4 - 16*z**3/3 + 2225*z**2. Calculate b(31).
-1
Let k(y) = -y**3 + 2*y**2 - 2*y - 44. Suppose 0 = -5*g - 3*u + 18, 0 = -16*g + 12*g + 4*u - 24. Calculate k(g).
-44
Let i(u) = -8526*u + 16*u**3 + 8527*u + 3*u**2 + 1 - 3 + 0. What is i(-1)?
-16
Let r = 964/5 - 1923/10. Let g(t) be the second derivative of 0 - 1/3*t**3 - 25*t + r*t**2 + t**4. Give g(1).
11
Let a(d) = -2*d**2 - 1 + 2*d - 5*d**3 - 4*d**3 + 5*d**3. Suppose -8806*l + 12 = -8794*l. What is a(l)?
-5
Let w(b) = b + 7. Let i = 254 - 67. Suppose -i*h + 54 = -193*h. What is w(h)?
-2
Let v(m) = 6*m**2 - 2*m + 28. Let l be v(4). Let n(y) = -2*y**3 - l + 229 - y - 114 - y**2. What is n(-1)?
1
Let p(m) = -125 + 54 + 19*m - m**2 + 55 - 7*m. What is p(7)?
19
Let y(s) = -108*s - 4085. Let g be y(-38). Let v(u) = -6*u + 59. Calculate v(g).
-55
Let b(y) = -2*y**3 - 2*y**2 - y + 2. Let g = -11295 - -11296. Calculate b(g).
-3
Let w(c) = -9*c + 3. Let z(r) = 5*r - 1. Let d = -25 + 18. Let y(t) = d*z(t) - 4*w(t). Determine y(6).
1
Let g(z) be the second derivative of z + 1/6*z**3 - 27 + z**2 - 1/6*z**4. What is g(-1)?
-1
Let j(l) = 83*l**2 - 19*l + 2. Let y(s) = s**2 + 3*s. Let b(r) = -j(r) - 6*y(r). What is b(1)?
-90
Let u = 21039 + -21038. Let i(f) = -7*f**2 - 15*f + 15. Calculate i(u).
-7
Let j(t) be the first derivative of -5*t**3/6 - 9*t**2/2 - 344*t - 212. Let w(r) be the first derivative of j(r). Let o = -12 + 6. What is w(o)?
21
Let t(m) be the second derivative of -m**3 + 7*m**2 + 76*m. Let u = -285 - -288. What is t(u)?
-4
Let s(t) = -2*t**2 + 28*t - 31. Let w = -21644 - -21657. What is s(w)?
-5
Suppose -29*h + 36*h - 91 = 0. Let t(s) = h*s - 34*s + 22*s. Let o(d) = d**3 + d**2 - d - 5. Let r be o(0). What is t(r)?
-5
Suppose -3*u + l + 13 = 0, 4*l = -4*u - 0*u - 4. Let z(q) = -9*q**3 + 30*q**u + 15 - 22*q**3. Determine z(0).
15
Let j(k) = -k**2 - 4*k + 14*k + 0*k - 11. Suppose -132*m + 808 = -512. Determine j(m).
-11
Let x(s) = s**3 + 3*s**2 - 5*s - 2. Let n(t) = t + 13. Suppose -18*f + 30 = -21*f. Let h be n(f). Let k be (-30)/(h - -2)*2/3. What is x(k)?
2
Let n(q) = -q**3 - 9*q**2 - 5*q + 6. Let o = -14145 - -14137. Calculate n(o).
-18
Let h be (148/185)/((-5)/50). Let u(n) = 10*n + 80. Determine u(h).
0
Let x(l) = 40*l - 5 - 14*l - 16*l - 15*l. Calculate x(1).
-10
Let f(s) = 15*s + 104. Suppose 28 + 75 - 49 = -9*j. Calculate f(j).
14
Suppose -5 = -6*q - 5. Suppose q = -2*c - 3*c + 15. Let g(y) = -y**2 + 5. Let k be g(c). Let v(d) = d**2 + 5*d - 3. Calculate v(k).
-7
Let d(y) = 15 + 20 + 6 + 23*y. Let l(x) = -8*x - 14. Let p = -17 - -23. Let f(n) = p*d(n) + 17*l(n). Determine f(-6).
-4
Let p(a) = 3*a - 20. Let m(z) = z - 1. Let b(y) = -4*m(y) + p(y). Let f be ((-40)/(-25))/((-4 - 0)/20). Let j be b(f). Let t(s) = -s - 10. Calculate t(j).
-2
Let c(o) = 23*o - 17. Let q be c(1). Let l(s) = s**3 - 6*s**2 - 8*s + 15. Calculate l(q).
-33
Let o(m) = m**3 + 9*m**2 - 10*m + 8. Suppose 2*t + 8 = 222. Let i = 115 - t. Let v(a) = a**2 - 9*a - 2. Let u be v(i). Calculate o(u).
8
Suppose 0 = -o + 4*d + 19, -4*d + 3*d - 10 = 5*o. Let i(z) = 16 + 30*z**2 - 17 + 2*z + 4 - 4 - 4*z. Calculate i(o).
31
Let h = -8 - -10. Let u = -1 + h. Let j(t) be the third derivative of -t**6/30 + t**5/30 - t**4/12 + t**3/6 + 242*t**2. Calculate j(u).
-3
Let y(c) = -5*c + 69. Let s be (75/(-10))/(21/(-6) - -3). Let f be y(s). Let a(d) = -8 - d**2 + 0 - 7*d + 0 + 1. Calculate a(f).
-1
Suppose -5*d - 61 = -3*m, -4*d = 3*m - 16 + 54. Let j(r) = 6 + 0 - 3 + r. Give j(d).
-8
Let n(z) = 21*z - 349. Let y(t) = 7*t - 108. Let j(r) = 6*n(r) - 19*y(r). Determine j(17).
-161
Let y(q) = 22*q + 10. Let i(t) = -9*t + 0 + 5 - 9. Let d(c) = -15*i(c) - 6*y(c). Give d(-4).
-12
Let v = 18836 + -18833. Let k(o) be the second derivative of 3*o**2 + 2/3*o**v + 28*o + 0. Give k(-6).
-18
Let f(v) be the first derivative of v**4/4 + 25*v**3/3 + 25*v**2/2 + 7*v + 1566. Calculate f(-24).
-17
Let h(s) = 12*s - 18. Let r(w) = 1276*w - 6389. Let u be r(5). What is h(u)?
-126
Let s(p) = 11*p**3 - p**2 - 17*p - 8. Let a be 6/(-3) + 5 + 10. Let d(r) = 5*r**3 - r**2 - 8*r - 3. Let q(h) = a*d(h) - 6*s(h). Determine q(-7).
23
Let y(r) = r**2 - 4*r - 57. Let k be y(11). Let p be (14 - -1) + 1/1. Suppose p = 2*d - 4*n, k = 4*d + 3*n + n. Let j(g) = g**2 - 6*g - 2. Calculate j(d).
-2
Let t(u) = -8*u - 4. Let j(y) = -2322*y + 4649. Let r be j(2). Determine t(r).
-44
Suppose -x = -3*x + 12. Let k(h) be the third derivative of h**5/60 - 3*h**4/8 + h**3 - 22549*h**2. Calculate k(x).
-12
Suppose 0 = 80*d + 832 - 672. Let z(u) = 14*u**3 - u**2 - 6*u + 1. What is z(d)?
-103
Let s = -11 - -7. Let t(r) = 5*r + 13. Let a(k) = 31*k + 76. Let z(n) = 6*a(n) - 34*t(n). Let m(x) = 9*x + 8. Let q(i) = -7*m(i) + 4*z(i). Give q(s).
-4
Let k(h) = 17*h - 11*h - 2 - 108 + 2. Give k(19).
6
Suppose -71 + 142 = -34*q + 139. Let b(g) = -16*g**3 + 2*g**2 - 1. Calculate b(q).
-121
Let b be (3*77/22)/(1 + 2/4). L
|
{
"pile_set_name": "DM Mathematics"
}
|
96. Calculate the common denominator of f and (2/(-8))/(6/268).
6
Let y = 4 - 2. What is the lowest common multiple of 2/(0 + (3 - y)) and 6?
6
What is the common denominator of -65/9 and -4 + (-2088)/(-585) + 1?
585
Suppose 11*q = 2*q + 81. Let d(i) = -i**2 + 11*i - 2. What is the smallest common multiple of 4 and d(q)?
16
Let u = -6876 - -14253/2. Let q = -276 + u. Calculate the common denominator of 2/3 + (-753)/(-72) and q.
8
Let v = -16113 - -386575/24. Calculate the common denominator of v and -131/12.
24
What is the smallest common multiple of 12 and 72/27*(0 - -7*3)?
168
Let k = 6 - 3. Suppose -2*t = -k*t + 36. Calculate the smallest common multiple of 18 and t.
36
Suppose r - 2 = 7. Let n be r/(-6) - 37/(-2). Suppose -s + 3 = -n. Calculate the smallest common multiple of s and 22.
220
Suppose 19 - 7 = 3*v, -2*v = -r + 45. What is the least common multiple of r and 6?
318
Let o be (-2)/(-3) + (-445)/420. Let x = o - -43/112. Find the common denominator of -109/18 and x.
1008
Let x be 96/(((-8)/(-12))/(-2)). What is the common denominator of (-88)/x*(34 + -1) and (58 + -4)/(40/6)?
60
Suppose 0 = 153*u - 156*u + 42. What is the least common multiple of 16 and u?
112
Suppose -5 + 27 = -b. Calculate the common denominator of -3*((-135)/66 + 2) and 55/b*34/12.
132
Suppose -4*u - 102 = -p, -3*p + p - 21 = u. Let h be (-10)/u + 72/(-5). Let m = -5 - h. Calculate the lowest common multiple of 4 and m.
36
Let b(y) = -y**3 + 3*y**2 + 5*y - 2. Suppose 2*w - 4 = w. Suppose 4*k - 37 = 3*s, 0*k - 33 = -3*k - 3*s. What is the lowest common multiple of k and b(w)?
10
What is the common denominator of 2466/224 - (59 - 48) and -139/140?
560
What is the common denominator of -29/10 and 0 + (245/18)/7?
90
Let x be 15/25 - ((-13392)/33430 - -1). Let r = x - -357681/33430. What is the common denominator of r and 2 - (0 + 76/18)?
90
Let m be 2212 + 2 + (-6 + 4)/(-2). Let p = -73171/33 + m. Find the common denominator of p and 107/30.
330
Let b = 22189/350 - 915/14. Calculate the common denominator of b and -54/25.
25
Let k = 9/6908 + 77978/129525. Find the common denominator of -17/40 and k.
600
Suppose 3421*t - 232 = 3419*t. Calculate the lowest common multiple of 174 and t.
348
Let h = 41 - 37. Suppose 5*u = 5 + 5. Let l = 9 + u. What is the least common multiple of h and l?
44
Let k be (-48)/10*25/(-10). Find the common denominator of 3*(14/k - -3) and 53/7.
14
Suppose -105 = -5*g - 3*o, 5 = -4*o + 5*o. What is the lowest common multiple of 21 and g?
126
Suppose -14 = y - 2*b - 32, b + 3 = 0. Calculate the lowest common multiple of 2 and y.
12
Let o(x) = x**3 - x**2 - 9*x + 4. Let g = -9 - -14. What is the smallest common multiple of o(g) and 5?
295
Let a = -149839/11584 - -819/64. Find the common denominator of a and -47/9.
1629
Let t = -390737/100 + 3907. Calculate the common denominator of t and 39/10.
100
Suppose -11*p + 13*p + i - 8 = 0, -4*i + 16 = 0. Suppose 3*h = -7 + 1, r = 2*h + 5. What is the least common multiple of (2 + -1)/(r/1) and p?
2
Let b = 4 - 2. Suppose 0 = b*w + 2*w - 100. Suppose -w - 7 = -4*y. Calculate the lowest common multiple of 2 and y.
8
Suppose 194 - 164 = t. What is the least common multiple of t and 54?
270
Suppose 0 = -17*u + 16*u - 16. Calculate the common denominator of -36/11 and u/56 - (-16)/(-14).
77
Let v = -124 + 127. Calculate the common denominator of (0 - v/(-24)) + -3 and 4/(-10) - (-171)/(-10).
8
Suppose 67 = 5*h - 128. Let o = 63 - h. Calculate the lowest common multiple of 27 and o.
216
Suppose -10*d - 2*c - 26 = -8*d, -4 = c. Let q(b) = -b + 3. Calculate the lowest common multiple of 30 and q(d).
60
Let o(h) = -h**3 - 5*h**2 - 3*h + 5. Let d be o(-4). Let p be (-3 - -2) + d + -2. Find the common denominator of ((-476)/(-240) + p)*-58 and -19/16.
240
Let n(y) = 2*y + 8. Suppose 2*c - 2*f - 10 = 0, 4*c + 17 = 7*c - 5*f. What is the smallest common multiple of n(c) and 4?
16
Let f = 245 + -235. Let b = 0 - 0. Let n = b + 6. Calculate the lowest common multiple of n and f.
30
Suppose 127 = 185*s - 184*s. Let h = s - 125. Suppose 4 + 4 = -4*v + 4*q, 2*v - q = -1. Calculate the lowest common multiple of h and v.
2
Suppose -3*b + 7 = -3*q - 29, -40 = -4*b + 2*q. Calculate the common denominator of (22/b)/((-63)/14) and -89/14.
126
Calculate the common denominator of 3/((-528)/124) - 1 and 1525/210*(-2)/((-40)/(-6)).
308
Let l(i) be the third derivative of -i**5/12 + i**4/12 - i**3/3 - 5*i**2. Let s be l(2). Find the common denominator of 11*((-33)/s - 2) and -55/8.
24
Let i be (-5)/(-5) - 1102/(-3). Let y = 351 - i. What is the common denominator of y and -29/9?
9
Suppose -2*q = -2*n + 34, 2*n + 29 = 3*n + 3*q. Find the common denominator of n and (-22)/(-14) + 0 + 4/(-1).
7
Let c = 1/227 + 11112/2497. Let p be (-5)/(-1*(-2 + 1)). Find the common denominator of (16/p)/((-6)/(-9)) and c.
55
Suppose 0 = 3*i + 3*x + 266 + 388, i = -5*x - 210. What is the common denominator of 11/10 and 2/(-8)*i/60?
60
Let p(o) = 20*o**2 + 8*o + 9. What is the smallest common multiple of 3 and p(-1)?
21
Let n = -2005/33483 + -43136213/5547017. Let q = 26/213 + n. Let b = -304/119 + -78/17. Calculate the common denominator of b and q.
7
Let i = 1507 - 10586/7. What is the common denominator of i and (-2)/16*-21 + -1?
56
Let p(f) = f**3 + 10*f**2 + 10*f + 9. Calculate the lowest common multiple of 6 and p(-8).
114
Let y = 6319/1440 - 229/90. What is the common denominator of y and -53/28?
224
Let w = -1/12078 + -1244027/84546. Let b = w - -349/28. What is the common denominator of b and 63/(-4)*(-3)/6?
8
Suppose 2*b - 3*b + 17 = -3*c, 0 = 4*b - 2*c - 48. Calculate the least common multiple of (-57)/(-6) - ((-462)/(-28) + -14) and b.
77
Let p(h) = -h**2 - 15. Let f be p(0). Let c(w) = w - 35. Let r(g) = 18. Let o(q) = -2*c(q) - 5*r(q). Calculate the smallest common multiple of o(f) and 22.
110
Suppose -224 = 3*t - 53. Let b(q) = q**2 + q - 104. Let d be b(0). Let z = d - t. Calculate the common denominator of z and -63/2.
2
Let n be (2 - 3)/((-2)/74). Let q = n + -26. What is the smallest common multiple of 14 and q?
154
Suppose -3*k + 12 = 3*a, 0*a - 2*a - 2 = -3*k. Let s(v) = 4 + 1 - v**2 + 9 + 3*v - 7 - 5. What is the smallest common multiple of s(a) and 1?
4
Let r = 38/471 + 22223/2826. Calculate the common denominator of r and -125/12.
36
Let h = 55741/8 + -6978. Let d = -144/1607 - -295798/252299. Let f = -17243/1570 + d. Calculate the common denominator of f and h.
40
Let z be 2*-4*(-3)/24. Let s be (1 - 1 - z)*-5. Suppose 8 = -s*u + 9*u. What is the smallest common multiple of 2 and u?
2
Suppose -u = 4*u - 15. Suppose -u*r - 54 = -6*r. What is the lowest common multiple of r and ((-1)/(-2) - 0)*44?
198
Let b = 1653073309/42630 - 5703413/147. Let r = b + -2/1015. Calculate the common denominator of r and -13/9.
18
Suppose 3*h - 6 = 0, -17*q + 2 = -16*q - h. Let d = 248 + -168. What is the lowest common multiple of d and q?
80
Let g = 28061 + -645238/23. Let n = 1470/253 - g. What is the common denominator of 1*-1 - (-47)/(-3) and n?
33
What is the least common multiple of -5*6/10 + 73 and 2?
70
Let l(u) = -u**3 - 2*u**2 - u. Let y be l(-2). Suppose 5*a + 0*s = -4*s + 30, 0 = -4*a - 5*s + 15. Calculate the smallest common multiple of a and 26/2 + 1 + y.
80
Let s(w) = -w**3 - 9*w**2 - w - 15. Let a be s(-9). What is the common denominator of -41/4 and (-2)/a + 858/180?
20
Let o = 1128 - 1008. What is the lowest common multiple of o and 45?
360
Suppose -8*o = -5*o. Let f be o*2/(-8)*-1. Suppose -2*g - 1 + 21 = f. Calculate the lowest common multiple of g and 16.
80
Let c = -58433833/91196 - 1/22799. Let p = c - -5169/8. Find the common denominator of 81/22 and p.
88
Let y = -1092/71 - -35833/2556. Calculate the common denominator of y and -4 + 4 - 13/(52/15).
36
Suppose 0 = -i - 2*i + 726. Find the common denominator of i/16*(-8)/20 and (1/2)/(42/(-162)).
140
Suppose 0 = -0*z - 3*z + 12. Let t(u) = -u**2 + 13*u - 12. Let s(w) = w + 1. Let l(f) = 5*s(f) - t(f). What is the lowest common multiple of z and l(7)?
20
Let p(l) be the first derivative of -l**2 + 45*l + 19. What is the smallest common multiple of 7 and p(20)?
35
Let r = 158 - 150. Suppose 152 = -r*f - 104. Calculate the common denominator of ((-27)/(-5))/((-8)/5) and f.
|
{
"pile_set_name": "DM Mathematics"
}
|
519
What is -5 take away -61924.4?
61919.4
Subtract -1 from 506.
507
What is -0.18227037 + -0.2?
-0.38227037
Calculate -5 - 580.
-585
Subtract 84.645 from 0.39.
-84.255
What is -3.5 plus -0.17?
-3.67
Add 1780 and 1.
1781
What is the distance between -2301.4 and 0.5?
2301.9
What is -1 take away 11704?
-11705
0.5058+4
4.5058
What is -0.4 take away -261099?
261098.6
Total of -1026 and -0.048.
-1026.048
-40.05 + 5
-35.05
1170 - 479
691
Total of 505444 and 0.4.
505444.4
What is the distance between -59 and -292.1?
233.1
Sum -3 and 181.
178
Calculate -0.0569798 + -2.
-2.0569798
What is -4.8122 minus -4.2?
-0.6122
What is the difference between -18.4 and 62?
80.4
Work out -710132 - -3.
-710129
What is -59661 + -0.4?
-59661.4
Work out 0.99 + 27.
27.99
Work out 8.75 + 0.0318.
8.7818
Calculate -350 - -2.2.
-347.8
Calculate -5163 - 166.
-5329
Work out 0.17 - -106.2.
106.37
Work out 0.27 - -13529.
13529.27
What is 0.0242 - 1.562?
-1.5378
Put together 65 and -5966.
-5901
Work out -2085 + 40.54.
-2044.46
What is the distance between 9813 and 4.45?
9808.55
What is -186.59 - -0.4?
-186.19
Calculate 0.1 - -1976.
1976.1
What is -0.189 plus 1.2?
1.011
Calculate 2784754 + -0.3.
2784753.7
What is 1398 less than -0.1?
-1398.1
What is 4354 minus -0.6?
4354.6
What is -810.14 take away -15?
-795.14
-0.1 - 2949894
-2949894.1
What is 0.36 - 4555?
-4554.64
Calculate 0.0365 - 0.35.
-0.3135
Calculate 0.2 + -0.148497.
0.051503
Calculate 1.43 - -0.1.
1.53
What is -2 + -28198?
-28200
What is the difference between 0.0149 and -3?
3.0149
What is 3.3 + 0.287?
3.587
-456.8 - -43
-413.8
4 - -2.7051
6.7051
What is -28 less than 0.12884?
28.12884
-0.2 - 1028
-1028.2
What is the distance between -25 and -0.43?
24.57
What is the difference between 2753 and 2?
2751
Sum 6 and 5769.
5775
Calculate -0.012706 - -204.
203.987294
What is -2 - -1038?
1036
What is -0.4 less than -0.33386?
0.06614
What is 2 take away 56604?
-56602
Add 6 and -1.4.
4.6
What is the distance between 0.04 and 0.5241?
0.4841
Sum -0.9 and 42.
41.1
What is 1263 less than 1?
-1262
Calculate -341430 - 4.
-341434
What is 1.2 less than 0.029?
-1.171
Work out -0.98547 - 4.
-4.98547
What is -0.739 take away -0.3?
-0.439
What is the distance between -5 and -213?
208
What is -2.902 + -2?
-4.902
What is -0.4 take away 104.133?
-104.533
What is -186 - -0.14004?
-185.85996
Work out 37.9 - -9.
46.9
What is -1816 minus 1?
-1817
Total of -535.9 and -0.59.
-536.49
What is -1791 + -0.6?
-1791.6
What is -4 - -62945?
62941
Subtract 5016.6 from -0.5.
-5017.1
Add 5 and 488.6.
493.6
What is 108618 less than 1.15?
-108616.85
What is -0.007505 + 0.2?
0.192495
Add 0.0127917 and 5.
5.0127917
Subtract -5 from -0.5363.
4.4637
What is the distance between 2172 and 1?
2171
What is -8766 - -0.1?
-8765.9
What is the distance between -28526 and 0.14?
28526.14
Work out 0.19 - -411.
411.19
Calculate -0.108 - 244.
-244.108
What is 0.3 take away 12?
-11.7
-3+5855
5852
What is -3.28 take away 0.02?
-3.3
What is 2 take away 0.614?
1.386
What is the difference between -0.0066 and -0.46?
0.4534
Work out 0.899 - -5.
5.899
What is 3083 plus 0.4?
3083.4
What is 3.36405 minus -44?
47.36405
Calculate -0.3 + -99.
-99.3
What is -0.0536 less than 2862?
2862.0536
Calculate 23 + 50032.
50055
Work out 440 - -0.016.
440.016
What is -0.4 - -51267?
51266.6
Add together -9 and 55.4.
46.4
Work out 55 - -593.
648
What is 5 plus -46.3?
-41.3
1141 - 0.7
1140.3
Work out -0.2 - 36.
-36.2
What is the difference between 0.09 and 91260?
91259.91
What is -133 take away 29?
-162
What is 0.006 minus -12136?
12136.006
Sum 19031 and 3.
19034
Add together 0.2 and 7.4.
7.6
117 - 3
114
Sum 0.38 and 1.8204.
2.2004
What is the distance between -8.143 and 0.7?
8.843
Work out -0.427 - 0.3.
-0.727
What is the difference between 1.129 and -16?
17.129
What is the distance between 4.47 and 807?
802.53
Work out 0.382 + 0.21.
0.592
What is 262.2 + -0.1?
262.1
Total of -0.03497 and -0.4.
-0.43497
Calculate 0.41 - 3288.
-3287.59
What is 1.4098 less than -25?
-26.4098
What is -13135.15 - -0.5?
-13134.65
Add together 1.53982 and -0.5.
1.03982
What is 36 plus 30647?
30683
Work out -37667 - 3.
-37670
Work out 0.23 + 0.062.
0.292
What is 0.165 + 0.052?
0.217
What is the distance between 1 and 1918?
1917
-2 - 344620
-344622
What is 52.702 minus 0.01?
52.692
What is 30 - -237?
267
Work out 933 - -2.
935
What is 0.04 take away 5.2521?
-5.2121
What is -51513.6 - -0.5?
-51513.1
Add 29670 and -4.
29666
What is the distance between 0.2 and 8062?
8061.8
13269 + 0.48
13269.48
Add -0.5 and 77.5.
77
-16.665 + -0.3
-16.965
Calculate -868486 - -0.5.
-868485.5
Subtract 3 from -999.
-1002
Put together -1.80272 and 0.6.
-1.20272
Put together -16880 and 0.6.
-16879.4
Calculate -0.208 - -81.
80.792
23936+-3
23933
Calculate -0.043 - -3630.
3629.957
50676+-0.1
50675.9
Calculate -2 + 30175.
30173
What is -1 plus 0.966?
-0.034
Put together -2264275 and 0.1.
-2264274.9
Put together 8 and -182.
-174
Put together 1.3 and -0.26326.
1.03674
-14.5 - 21
-35.5
Work out -8354 - -0.17.
-8353.83
Work out -19556 + 1.
-19555
What is 12.2 less than 0.3?
-11.9
Add together 2.29 and -1.
1.29
Sum -3.6 and 193.
189.4
Subtract 198.7 from 56.
-142.7
Work out -17 + -14.257.
-31.257
Work out -2 + 0.7383.
-1.2617
What is the difference between -263 and 0.5?
263.5
Work out 0.023 - -0.055.
0.078
What is -716 plus -0.039?
-716.039
Work out 1733 - -0.05.
1733.05
What is 7.9 less than -0.02441?
-7.92441
What is the distance between 2 and 14207578?
14207576
Total of 1997 and -187.
1810
Work out -36004 + -0.09.
-36004.09
What is 9521 take away -0.02?
9521.02
Work out -0.5271 + 0.1.
-0.4271
Put together -263077 and -4.
-263081
What is 0.1 + 140?
140.1
Put together -42 and -4655.
-4697
-4+-59813
-59817
What is -4399 minus -3?
-4396
Total of -103 and 221.
118
What is the difference between 11 and 1364.6?
1353.6
Calculate 0.0732 - 3.
-2.9268
-2447 + 38
-2409
352.5+0.5
353
What is 976 minus -704?
1680
Total of 108.3 and 114.
222.3
Sum 11.8 and 122.
133.8
What is -0.48 take away -59.56?
59.08
Add together 169.32 and -0.3.
169.02
What is -13.2 take away 0.02?
-13.22
Add together -4 and -15.6982.
-19.6982
Total of -0.271 and 0.8.
0.529
What is the difference between -7.31 and -9?
1.69
What is the difference between 20.6 and 0.3?
20.3
Work out 3358 + 66.
3424
Work out -0.1 - 0.2136.
-0.3136
What is -1 - -11411?
11410
Calculate -42.97 + 271.
228.03
Total of 0.75 and 0.9.
1.65
-0.01895 + -0.4
-0.41895
Work out 16788 - 0.
16788
What is the difference between -44 and -356?
312
What is -0.39121 take away 1.4?
-1.79121
Add -0.3 and -2700.
-2700.3
Total of -0.051887 and 0.4.
0.348113
-52 - 1.536
-53.536
What is 625 - 0.03?
624.97
What is 0.152 less than 0.231?
0.079
What is 52218 minus 27?
52191
What is 0.5 less than 61883?
61882.5
What is the distance between -0.4 and -0.06361?
0.33639
Work out -2 + -95.5.
-97.5
Work out -891355 + -3.
-891358
Calculate 18.5 - 42.
-23.5
Calculate -79.6 - 131.
-210.6
Put together -31791 and 3.1.
-31787.9
Work out 1030 - 0.
1030
What is -0.76 take away -4?
3.24
What is -1237 less than 0.05?
1237.05
What is the difference between -596 and -119?
477
What is 456 plus -4?
452
What is the difference between -5.27 and -0.0556?
5.2144
Work out -3.89 - -0.11.
-3.78
Work out 17.4053 - -0.3.
17.7053
What is 1.878 minus -38?
39.878
What is the difference between 5964 and 0.5?
5963.5
What is -0.5 - 455?
-455.5
Work out -39.93 - -9.
-30.93
Total of -0.25 and 25248.
25247.75
What is -34.4 take away -2?
-32.4
189.6+8
197.6
Sum -2.23325 and -0.9.
-3.13325
Put together -144 and 0.019.
-143.981
What is 3 - -10.733?
13.733
-3 - -21.321
18.321
Sum -1150 and -1538.
-2688
What is -0.2 - 5.0928?
-5.2928
Sum -3.2 and 131.
127.8
What is -0.1 take away 1244737?
-1244737.1
Add -3 and 6.34728.
3.34728
What is -0.636023 less than 0.4?
1.036023
Add 3 and -198.1.
-195.1
What is 93.9 take away 5?
88.9
Sum -6 and -1.13.
-7.13
Work out 0.2 + 1290.
1290.2
Sum 42.91 and 69.
111.91
What is -12 less than -0.04389?
11.95611
What is 0.08 + 2045?
2045.08
What is -146.214 + -25?
-171.214
Total of -428.9 and -1.11.
-430.01
What is 14.1 less than -0.09213?
-14.19213
What is 0.0577 minus 0.0278?
0.0299
What is the difference between -113 and 5.8?
118.8
What is -1484385 minus 0.2?
|
{
"pile_set_name": "DM Mathematics"
}
|
nd derivative of n(l). Let j(f) = 0. Calculate f.
-2, 0
Let g(j) be the second derivative of -j**7/14 + 12*j**6/5 - 9*j**5 - 37*j**4/2 + 237*j**3/2 - 189*j**2 - 20*j - 324. What is d in g(d) = 0?
-2, 1, 3, 21
Let z(g) = -g**3 - g. Let j(c) = c**3 + 3*c**2 - 3*c. Suppose 4*b - 5*d = 2*b + 81, 0 = -4*d + 20. Suppose b = -q + 52. Let s(p) = q*j(p) + z(p). Factor s(l).
-l*(l + 2)*(2*l - 1)
Let d be (6/32)/(3/48). Suppose 0 = 2*a + 3*k + 2, 6*a = 2*a + 3*k + 14. Factor d - x**a + 0 + 2 - 5*x + 1.
-(x - 1)*(x + 6)
Suppose 7395*s**2 - 1445*s - 499*s**4 - 502*s**4 + 1026*s**4 - 855*s**3 = 0. What is s?
0, 1/5, 17
Factor -5*t**4 + 3*t**4 - 132*t**2 - 2*t**4 + 134*t**3 - t**4 - 134*t + 4*t**4 + 133.
-(t - 133)*(t - 1)**2*(t + 1)
Let h(m) be the second derivative of m**7/168 - 17*m**6/60 + 4*m**5/5 + m**4/24 - 65*m**3/24 + 4*m**2 + 619*m. Factor h(v).
(v - 32)*(v - 1)**3*(v + 1)/4
Let x(i) be the second derivative of i**8/1512 + i**7/315 + i**6/180 + i**5/270 - 53*i**2/2 - 2*i + 9. Let q(t) be the first derivative of x(t). Factor q(l).
2*l**2*(l + 1)**3/9
Let d(t) = 11*t**3 - 235*t**2 + 836*t - 682. Let m(r) = -r**3 + 13*r**2 - 2. Let o(c) = d(c) + 7*m(c). Determine x so that o(x) = 0.
1, 6, 29
Let w(r) = -r**3 + 750*r**2 - 110*r + 82500. Let v be w(750). Factor -3*h**2 + v + 10/3*h - 1/3*h**3.
-h*(h - 1)*(h + 10)/3
Let j(i) be the first derivative of -i**3/3 + 179*i**2 + 359*i - 1956. Factor j(m).
-(m - 359)*(m + 1)
Suppose 318*w = 320*w + 60. Let k be 2/(-48)*(-39 - w). Determine c, given that -3/8*c**2 - k + 3/4*c = 0.
1
Let s(n) be the first derivative of 3*n**5/5 + 9*n**4 - 165*n**3 + 726*n**2 - 1260*n - 5335. Factor s(d).
3*(d - 5)*(d - 2)**2*(d + 21)
Let i(y) = 39*y**4 - 14*y**3 + 17*y**2 + 7*y + 231. Let o(a) = -a**4 - 4*a**3 - a**2 - a - 33. Let b(z) = 2*i(z) + 14*o(z). Factor b(x).
4*x**2*(x - 1)*(16*x - 5)
Find p, given that p**2 - 25 - 1/3*p**3 + 25/3*p = 0.
-5, 3, 5
Suppose -26 = r - 6*r + 4*p, -2*r = p. Factor -310*w + 89*w**r + 292*w + 33*w**3 + 4*w**2.
3*w*(w + 3)*(11*w - 2)
Let u(z) be the first derivative of -z**4/28 - 416*z**3/21 + z**2/14 + 416*z/7 - 2809. Factor u(b).
-(b - 1)*(b + 1)*(b + 416)/7
Factor 0*g + 17/6*g**3 + 4/3*g**2 + 0 + 5/3*g**4 + 1/6*g**5.
g**2*(g + 1)**2*(g + 8)/6
Let w = 11019/2 - 5507. Let u(i) be the first derivative of 0*i + 4/3*i**3 - w*i**4 + 0*i**2 + 14/3*i**6 + 8 - 22/5*i**5. Solve u(t) = 0 for t.
-1/2, 0, 2/7, 1
Let i(w) be the third derivative of -w**8/1008 + w**7/42 - w**6/10 - w**5/45 + 2*w**4/3 - 413*w**2. Determine f, given that i(f) = 0.
-1, 0, 2, 12
Let x be 30*3/14 + (-4)/(-7). Suppose x*u - 5 = 65. Find s, given that -u - 2*s**2 - 16 - 15*s + 14 + s = 0.
-6, -1
Let b(u) be the third derivative of u**5/150 + 73*u**4/60 + 142*u**3/15 - 635*u**2. Factor b(f).
2*(f + 2)*(f + 71)/5
Let p(t) = 4*t**3 + 16*t**2 + 208*t - 252. Let y(u) = 2*u**3 + 10*u**2 + 125*u - 151. Let w(k) = -7*p(k) + 12*y(k). Factor w(q).
-4*(q - 4)*(q - 1)*(q + 3)
Let c(a) = -3*a + 10. Let s be c(1). Factor 5*l + 11*l**3 - 15*l - 6*l**5 + s*l**4 + 5*l**5 - 9*l**2 + 2*l**4.
-l*(l - 10)*(l - 1)*(l + 1)**2
Let h(p) = 30*p**3 + 2220*p**2 + 6095*p - 1070. Let f(z) = 30*z**3 + 2221*z**2 + 6110*z - 1071. Let a(s) = 5*f(s) - 6*h(s). Find g, given that a(g) = 0.
-71, -3, 1/6
Let d be (6/8)/(7*(-9)/(-252)). Factor 8*h - 2 - 5*h**2 - 2 + 44*h**3 - 43*h**d.
(h - 2)**2*(h - 1)
Let n(b) be the third derivative of -4*b**3 - 1/45*b**5 - 11/18*b**4 + 0 + 36*b**2 + 0*b. Factor n(w).
-4*(w + 2)*(w + 9)/3
Let -1/11*z**3 + 0 - 16/11*z**2 - 28/11*z = 0. What is z?
-14, -2, 0
Let y(s) = -10*s**4 + 24*s**3 - 138*s**2 + 84*s + 8. Let t(m) = -6*m**4 + 16*m**3 - 91*m**2 + 56*m + 5. Let p(b) = -8*t(b) + 5*y(b). Let p(v) = 0. What is v?
-7, 0, 1, 2
Let p = 2855/2 + -1426. Let r(n) be the second derivative of 0 + 0*n**3 + 8*n + 1/4*n**4 - p*n**2. Factor r(c).
3*(c - 1)*(c + 1)
Factor -39*d + 434*d**2 + 30 + 412*d**2 - 840*d**2 + 3*d**3.
3*(d - 2)*(d - 1)*(d + 5)
Factor -410*g + 5*g - 55*g**2 + 24*g**2 + 34*g**2.
3*g*(g - 135)
Let q(h) be the third derivative of 0*h - 1/80*h**5 + 0 - 7/8*h**4 - 115*h**2 - 49/2*h**3. Determine x so that q(x) = 0.
-14
Factor 0 + 232*j**2 + 42*j + 11/2*j**3.
j*(j + 42)*(11*j + 2)/2
Let x(f) be the first derivative of -208 - 11/10*f**4 - 2/25*f**5 - 16/3*f**3 + 0*f - 48/5*f**2. Factor x(y).
-2*y*(y + 3)*(y + 4)**2/5
Let c(f) be the second derivative of -53*f + 0 - f**4 - 3/25*f**6 - 8/15*f**3 + 0*f**2 - 31/50*f**5. Let c(m) = 0. Calculate m.
-2, -1, -4/9, 0
Let z(k) be the third derivative of k**6/300 - 7*k**5/10 + 34*k**4/5 - 404*k**3/15 - 2539*k**2. Let z(a) = 0. Calculate a.
2, 101
Let l(h) be the first derivative of -h**4/8 - 29*h**3/6 + 31*h**2/2 - 1297. Factor l(n).
-n*(n - 2)*(n + 31)/2
Let h(y) = 13*y**2 + 16*y + 18. Let p(l) = -28*l + 14 + 195*l**2 - 49 - 219*l**2. Let u(i) = -11*h(i) - 6*p(i). Factor u(d).
(d - 6)*(d - 2)
Let x(h) be the third derivative of -46*h**2 + 0*h - 2 + 1/105*h**5 - 64/21*h**3 - 1/3*h**4. Let x(q) = 0. Calculate q.
-2, 16
Let m(l) be the third derivative of -2/15*l**5 - 1/60*l**6 + 19/12*l**4 - 14/3*l**3 + 11*l**2 + 0*l + 6. Factor m(f).
-2*(f - 2)*(f - 1)*(f + 7)
Let k be (-42)/28 - ((-194)/(-4) + 1). Let q = k - -54. Factor -18 + 8 - 343*h**2 + 353*h**2 - 5*h + 5*h**q.
5*(h - 1)*(h + 1)*(h + 2)
Let u be (20 + -14 + 8)*(-300)/(-980). Factor 27/7*p + 0 - u*p**2 + 3/7*p**3.
3*p*(p - 9)*(p - 1)/7
Let c(f) = f**3 - 3*f**2 - 5*f + 6. Let v be c(4). Let l = 191 - 189. Find y such that -2*y**l - 2*y - 6*y + 6*y**v - 2 + y = 0.
-1/4, 2
Suppose 0 = -8*t + 6 + 26. Let w(v) = -v**2. Let y(s) = -5*s**2 + 27*s - 26. Let f(h) = t*w(h) - y(h). Factor f(g).
(g - 26)*(g - 1)
Let f(u) be the first derivative of u**3 - 99*u**2/2 - 6*u + 150. Let d(r) = 3*r**2 - 99*r - 4. Let t(o) = -3*d(o) + 2*f(o). Let t(y) = 0. What is y?
0, 33
Let g be -1 + (792/(-77) - -11) + 4/14. Let r(b) be the second derivative of 0 + g*b**2 - 4*b - 1/4*b**4 - 3/20*b**5 + 0*b**3. Factor r(a).
-3*a**2*(a + 1)
What is c in 75/2 - 377/4*c + 5/4*c**2 = 0?
2/5, 75
Factor 574/3*g**2 + 32/3*g**3 + 0 - 12*g.
2*g*(g + 18)*(16*g - 1)/3
Let f = 316 - 316. Suppose f = -5*l - 60 + 70. What is g in -72/5*g**4 - 222/5*g**3 - 8/5*g + 16/5 - 164/5*g**l = 0?
-2, -2/3, 1/4
Let a(c) be the second derivative of 1/90*c**5 + 0 - 1/27*c**3 - 126*c + 0*c**4 + 0*c**2. What is f in a(f) = 0?
-1, 0, 1
Let p(x) = -20*x**2 + 175*x + 5. Let y(u) = 17*u**2 - 176*u - 4. Let z(n) = 4*p(n) + 5*y(n). Suppose z(b) = 0. Calculate b.
0, 36
Let j(z) be the second derivative of -1/90*z**4 + 3/5*z**2 + 8/45*z**3 + 0 - 164*z. Let j(p) = 0. Calculate p.
-1, 9
Let r(j) be the first derivative of j**4/4 - 22*j**3/3 - 159*j**2/2 - 252*j - 934. Factor r(g).
(g - 28)*(g + 3)**2
Let h(p) be the first derivative of 2*p**3/3 + 65*p**2 - 268*p - 7596. What is g in h(g) = 0?
-67, 2
Let q(o) be the third derivative of -o**5/240 - 23*o**4/96 + 46*o**2 - 20*o. Determine l so that q(l) = 0.
-23, 0
Let i(o) = -13*o + 67. Let m be i(5). Factor 6*z**3 - 9*z + 224*z**m - 7*z**3 - 234*z**2.
-z*(z + 1)*(z + 9)
Let d(i) = i**3 - 10*i**2 + 28*i - 101. Let m be d(8). Let a be 9 + (224/(-21) - m). Factor -2/3*k**3 - 14/3*k - 2 - a*k**2.
-2*(k + 1)**2*(k + 3)/3
Let g = -8685 + 234511/27. Let h(c) be the second derivative of 0 - 1/90*c**5 + 0*c**2 - 23*c - g*c**3 + 4/27*c**4. Factor h(k).
-2*k*(k - 4)**2/9
Let r = 6457/78 + -1927/26. Factor -28/3 + 2/3*j**2 + r*j.
2*(j - 1)*(j + 14)/3
Suppose 0 = 63*d - 43*d - 37680. Let v = -15067/8 + d. What is o in -v*o + 0 - 1/8*o**2 = 0?
-5, 0
Let l(m) be the second derivative of -m**5/40 - 35*m**4/24 - 247*m**3/12 + 1083*m**2/4 + 98*m - 7. Determine u, given that l(u) = 0.
-19, 3
Let j(l) be the first derivative of -4/15*l**3 + 18*l + 1/50*l**5 + 1/30*l**4 - 4/5*l**2 + 16. Let r(f) be the first derivative of j(f). Solve r(q) = 0 for q.
-2, -1, 2
Suppose 44*s + 1488 + 2164 = 0. Let y be s/(-55) - (-6)/(-10). Suppose y*f - 12/11 + 2/11*f**2 = 0. Calculate f.
-6, 1
Let r(g) be the first derivative of -237 + 8/5*g**5 - 1/6*g**6 - 15/4*g**4 + 8*g**2 - 8/3*g**3 + 0*g. Factor r(k).
-k*(k - 4)**2*(k - 1)*(k + 1)
Solve 0*m**5 + 84*m**2 - 3*m**5 + 6*m**4 + 13*m - 10*m + 5*m**3 + 33*m + 52*m**3 = 0 for m.
-2, -1, 0, 6
Let y be 2/3 - 25/(-15)*95. Suppose 5*r - 5*b = y + 106, -4
|
{
"pile_set_name": "DM Mathematics"
}
|
= 112*f - 121*f. What are the prime factors of f?
2, 41
Let d = 205 - -1006. What are the prime factors of d?
7, 173
Let d = 61 - 59. List the prime factors of (0 - 3/d)/((-2)/212).
3, 53
Let j be ((-25)/(-10) + -2)*122. Suppose -g + 0*g = -j. List the prime factors of g.
61
Let i(f) = f**2 - 2*f - 10. Suppose -3*w + 26 = -d, 5*d = -2*w - 0*d - 11. Let p be i(w). What are the prime factors of (-10)/p + 132/5?
2, 13
Let z(h) = h**2 - 2. Let v be z(3). Let a(i) = -13*i - 5. Let b(k) = -3*k + 1. Let f(y) = -a(y) + 4*b(y). What are the prime factors of f(v)?
2
Suppose 0 = -33*a + 36*a - 48. Suppose 2*b = -3*b - k + 16, b - 8 = k. Suppose b*z - a = -0*z. List the prime factors of z.
2
Suppose -8*w = -3*w - 10. Suppose -2*h = -w*u - 150, 0*u - 4*u - 227 = -3*h. What are the prime factors of h?
73
Let f(t) = -41*t**3 + 3*t**2 - 3*t - 1. List the prime factors of f(-2).
3, 5, 23
Let c be 3 - ((-8)/(-2) + -4). Let g = 0 + c. List the prime factors of g.
3
Let g(q) = -3*q**3 - 11*q**2 + 25*q - 40. What are the prime factors of g(-10)?
2, 5, 7, 23
Let w be 1*3/(-9) + 1169/(-3). Let z = 603 + w. List the prime factors of z.
3, 71
Let k = -342 - -702. What are the prime factors of k?
2, 3, 5
Let d = -183 + 565. List the prime factors of d.
2, 191
Suppose -315 = -2*q - z + 2172, q + z - 1244 = 0. List the prime factors of q.
11, 113
Let f be (-4 - -1)/((-2)/6). Let w be ((-33)/f - -3)*-3. What are the prime factors of (6/5)/(w/35)?
3, 7
Let u(n) = -12*n - 7. Let w(m) = m**2 - 8*m + 3. Let x be w(7). List the prime factors of u(x).
41
Suppose -3*u = -279 - 6. List the prime factors of u/3 + 3/9.
2
Let x(m) = -m**3 + 20*m**2 - 17*m - 8. What are the prime factors of x(9)?
2, 5, 73
Suppose 9*f + 368 = 13*f. Let t = -20 + f. What are the prime factors of t?
2, 3
Suppose 2*r = 3*c + 363 + 328, -5*c = 5*r - 1790. What are the prime factors of r?
353
Suppose 0*t - 3*t + 15 = 0. Let v be (2/t)/(2/570). What are the prime factors of (2/4)/(3/v)?
19
Let r be 2/3 + (-19)/(-3). Let p(c) = c**3 - 7*c**2 + 2*c + 3. Let o be p(r). Let f = o - 7. What are the prime factors of f?
2, 5
Suppose 3*j - 11*j = 160. What are the prime factors of ((-3393)/(-145))/((-6)/j)?
2, 3, 13
Let r(w) = 17*w - 4. Let s = 13 + -9. Let u be r(s). Let a = u + -32. List the prime factors of a.
2
Suppose 0 = 3*x + 4 + 5. Let k = x - -1. List the prime factors of k/3 + 137/3.
3, 5
Let j(y) = y**3 - 4*y**2 - 3*y - 7. Suppose 0 = 4*u - 3*i - 30, 6 = 2*u - 0*u + 3*i. What are the prime factors of j(u)?
47
List the prime factors of (-206)/(-4)*(215 - 111).
2, 13, 103
Suppose 2*m - a = a - 14, 3*m - 3 = -5*a. Let x = -2 - m. Suppose x*y + f - 4*f = 55, -3*f + 106 = 5*y. List the prime factors of y.
23
Let u be 1 + -3 + 1 - -12. Let l = -222 + 257. Let m = u + l. List the prime factors of m.
2, 23
Let j be 3/(-3)*(-2 + 2). Suppose j*p - 3*p + 334 = 5*y, -3*y + 3*p = -210. What are the prime factors of y?
2, 17
Let h(g) = -3*g + 22. Let i be h(-12). Suppose -2*b + 44 = -i. What are the prime factors of b?
3, 17
Let n = -2 - 4. Let l be n/(-27) + 6/(-27). Suppose l = -6*t + 10*t - 44. List the prime factors of t.
11
Let u = 99 - 52. Let n = u - 7. What are the prime factors of n?
2, 5
Let u be ((-12 - -6)/(-6))/(1/3). Let r be (4/5)/(8/60). Suppose -60 = -u*o + r. List the prime factors of o.
2, 11
Let o(y) = 96*y. Let u be o(-2). List the prime factors of (-1)/((-3)/u*-2).
2
Suppose 0 = 13*h - 22*h + 1647. List the prime factors of h.
3, 61
Suppose 13*a - 23227 = 20856. What are the prime factors of a?
3391
Let c(k) = 12*k - 2. Let m be c(-14). Let a = 35 - m. List the prime factors of a.
5, 41
Let b be (4/3)/(2/3). Suppose -o = -5, 6*j = b*j + 2*o + 114. List the prime factors of j.
31
Suppose 0 = -5*z - 10, c + 718 = 2*c + z. Suppose v + 3*m = 5*m + 135, m + c = 5*v. Suppose 0*u = 5*u - v. What are the prime factors of u?
29
Let c(m) be the second derivative of 2*m**4/3 - m**3/6 - m**2/2 + m. Suppose x - 24 = 13*x. What are the prime factors of c(x)?
3, 11
Suppose 2*q = 4*s + 6 + 20, 5*q = -s + 10. Suppose -2*h + 1 = -q. List the prime factors of h.
2
What are the prime factors of 15615/5 + (6 - (-4 - -6))?
53, 59
Let d be (3 - 36/4)*28/(-6). What are the prime factors of (1*(-679)/d)/((-2)/8)?
97
Let x(m) = -107*m + 446. List the prime factors of x(-8).
2, 3, 7, 31
Let t be 3/2 - 6/(-4). Suppose z + t*p = 15, -2*z - 3*z + p = -11. What are the prime factors of 26*(z/6)/1?
13
Let u = -626 - -995. What are the prime factors of u?
3, 41
Let r = -6 + 4. Let u be 598/22 + r/11. List the prime factors of (0 - -5)/(3/u).
3, 5
Let h be (-1797)/(-18) - -1 - 3/(-18). Let y = h + -39. What are the prime factors of y?
2, 31
Let z be 1165/20 - 3/12. Let d = 31 - z. What are the prime factors of -3 - -3 - 2 - d?
5
What are the prime factors of -4*(-653)/2 - (-60 + 58)?
2, 3, 109
Let w(v) = v - 1. Let g be w(3). Suppose -5*x + 123 = -g. What are the prime factors of x?
5
List the prime factors of (-3 + -1)/((-8)/436).
2, 109
Suppose 4*y - 8*y = 4*k - 72, 4*y - 74 = -3*k. List the prime factors of (-4)/(4 - 82/y).
2, 5
Let x = 64 + -98. What are the prime factors of 69/(4 - x/(-10))?
5, 23
What are the prime factors of 544 + -38 + -1 + -3?
2, 251
Let a = -644 - -4482. List the prime factors of a.
2, 19, 101
Let v(i) = -3*i. Suppose -3*n - 6 = 0, 5*n + 0 = 3*t - 1. Let u be v(t). Suppose u*r = 4*r + 100. List the prime factors of r.
2, 5
Suppose -10 + 2 = -4*p. Suppose -o = p*o. Suppose -j - 13 + 37 = o. List the prime factors of j.
2, 3
Let d = 3555 - 1478. What are the prime factors of d?
31, 67
Let s = 267 + -102. List the prime factors of s.
3, 5, 11
Let d be (21/14)/(2/4). Suppose -7 = -d*b - 2*w, -6*w + w - 5 = 3*b. Let z(u) = 2*u + 8. What are the prime factors of z(b)?
2, 3
Let k be (-3)/3 - 9/(-3). Suppose 8*w - 3*w = -3*d + 555, -333 = -3*w + k*d. What are the prime factors of w?
3, 37
Suppose 0 = -j + 4*w + 7, -5*j + 6*w + 65 = w. Suppose j = -d + 55. Let s = 6 + d. List the prime factors of s.
2, 23
Suppose 4*b + 163 = m, 287 = 4*m - b - 350. Let t = m + -79. Suppose 0 = -0*h - 5*h + t. List the prime factors of h.
2
What are the prime factors of -1 + (66045/25 - 7/(-35))?
19, 139
Let i(z) = -2*z**2 - 11*z - 29 - 20 + 51 - z. Let v be i(-5). What are the prime factors of 45/(-6)*(-64)/v?
2, 5
What are the prime factors of (-3)/(-6) + (-17121)/(-26)?
659
Let b(s) = s**3 + 4*s**2 - 4*s - 12. Let g be b(-4). Suppose -504 = -4*i - g*f, 3*i - 321 - 51 = -f. What are the prime factors of i?
3, 41
Let c(d) = 42*d + 1. Let s be c(4). Suppose 0 = -5*f + 401 + s. Suppose 3*p = f - 33. List the prime factors of p.
3
Let r = 93 - 48. Suppose -2*m = -3*m + r. Suppose -2*k = -5*k + m. List the prime factors of k.
3, 5
Let n(s) = 6*s**3 - 4*s**2 - 14*s + 1. What are the prime factors of n(6)?
1069
Suppose -z + 3*z + 4*j = -18, 0 = -2*z - 2*j - 8. Let r be 3 + z + 7 + -3. Suppose 3*a + r = 113. What are the prime factors of a?
5, 7
Let q(c) = -c**3 - 9*c**2 + 10*c - 8. Let z be q(-10). Let g be (-6 - z) + (1 - 3). List the prime factors of (-84)/(g + 4)*-1.
3, 7
Let v(r) = 9*r**2 - r - 31. Let f(q) = -25*q**2 + 3*q + 93. Let o(g) = 4*f(g) + 11*v(g). Let y = 1 - 1. List the prime factors of o(y).
31
What are the prime factors of ((-958)/(-6) - 1) + (-44)/(-33)?
2, 5
Suppose -y + 2*y - 851 = -5*u, 5*y - 4228 = 2*u. Suppose y = 5*o - 99. What are the prime factors of o?
3, 7
Let u = 657 + 377. List the prime factors of u.
2, 11, 47
Suppose 6*g = -1927 + 6331. List the prime factors of g.
2, 367
Suppose 4*h + 16 = z, 3*z - h + 0*h = -7. Let s be 7 - 6*(-2)/z. Suppose 12 = -s*a, -3*b = -8*b + 5*a + 250. List the prime factors of b.
47
Let q = -181 - -333. Suppose 5*k - q = -v, -4*v + 5*v - 155 = -4*k. What are the prime factors of v?
167
Suppose -3*q + 4*q = 0. Suppose 2*v - 100 - 32 = q. Suppose 0 = 4*a - 14 - v. What are the prime factors of a?
2, 5
Suppose -7253 - 3072 = -25*w. What are the prime factors of w?
7, 59
Suppose -2*r = 5*k - 15, 4*r - 4*k + 44 = 4. What are the prime factors of 2/5 + (-213)/r?
43
Suppose -660 = -4*f + l + 1501, 2*l = -2*f + 1088. What are the prime factors of f?
541
Let o(p) = -4*p + 23. Let w(c) = 13*c - 69. Let j(x) = 17*o(x) + 6*w(x). List the prime factors of j(17).
3, 7
Suppose 5*b =
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{
"pile_set_name": "DM Mathematics"
}
|
d)*(d**2 + 0*d**2 - 3*d**2) - 51*d**3 - 29*d**3 + 23*d**3.
-55*d**3
Expand (2 + 1 - 2)*(82*v - 98 + 98).
82*v
Expand (a - 3 + 3)*(a - a + a**2) - a**2 + 0*a**3 + 45 + a**3 - 35.
2*a**3 - a**2 + 10
Expand (942 - 942 + 205*q)*(-5*q + q + 8*q)*(1 - 2 - 1).
-1640*q**2
Expand 48 + 39*x + 22*x - 48 + 4*x - 6*x + 0*x + (-2 + 4 - 1)*(3 - 3 + x) - 11*x - 3*x + 18*x.
64*x
Expand (-2*d**2 + 5*d**2 - d**2)*(-2 + 1 + 2) + ((d - d + 2*d)*(3 + 2 - 4) - 6*d + 4*d + 4*d + 0*d + 3*d - 4*d)*(-2 + 0 + 3)*(8*d + 2*d - 3*d).
23*d**2
Expand (-50*n**2 + 50*n**2 + 15*n**3)*(0*n + 2*n + 9*n)*(4*n - 3*n - 3*n).
-330*n**5
Expand (s**3 + 2*s**3 - 5*s**3)*(12*s + 12*s + s) + (16*s**2 - 3*s + 3*s)*(s**2 + 4*s**2 - 4*s**2).
-34*s**4
Expand 8 - 2*a - 8 + (0 - 1 + 3)*(-a - 2*a + 2*a) - 25 + 25 + 23*a.
19*a
Expand (-30*b - 59*b + 144*b)*(b**2 + 0 + 0) + 0*b + 3*b**3 + 0*b.
58*b**3
Expand (10*v - 9*v - 2*v**3 + 4*v**3)*(-42*v**2 - 12*v**2 + 89*v**2).
70*v**5 + 35*v**3
Expand (-s - 2*s + s)*((0 - 5 + 3)*(-1 + 0 - 5) + 3 - 3 + 2) + (-1 + 1 + 2)*(2*s - 4 + 4).
-24*s
Expand -s**2 + 4*s**2 + 2*s**2 + (5 - 2*s - 5)*(-3*s + 0*s + s) - s**2 + 4*s**2 - 5*s**2 - s**2 - 4*s**2 + 3*s**2 + (-4 + 3 - 1)*(0*s + s**2 + 0*s).
3*s**2
Expand -7 - d**2 + 7 + ((3 - 1 - 7 + (1 + 0 + 1)*(4 + 2 - 4))*(-13*d + 6*d - 8*d) - 3 + 3 - d)*(-2*d - 3 + 3).
-29*d**2
Expand -3*a**2 + 4*a**2 - 2*a**2 + 4*a**2 + a**2 - 6*a**2 + (2*a**2 + 2*a**2 - 6*a**2)*(-5 - 2 + 4) - 2*a**2 + 3*a**2 + 0*a**2 + 68 + a - 3*a**2 - 68.
2*a**2 + a
Expand (-3*p**3 - 3*p**3 + 4*p**3)*(2 + 2 - 5)*(-5*p + 8*p + 7*p) + p**4 + p - p + 3*p**4 + 3*p**4 - 7*p**4 + (2 - 4 + 4)*(3 + p**4 - 3).
22*p**4
Expand (21*k**2 + 44*k - 18*k - 1 - 27*k)*((2 - 2 + 2*k**2)*(-3*k + 2*k + 3*k) + k - k - 2*k**3 + (k**2 + 3*k - 3*k)*(3*k + k - 3*k) + 3*k**3 + 2*k**3 - k**3).
147*k**5 - 7*k**4 - 7*k**3
Expand (-q**2 + 2*q - 2*q)*(4*q + 2*q**2 - 4*q) - 60*q**4 + 3165*q - 3165*q.
-62*q**4
Expand (-48 + 48 - 9*b)*(2 + 0 + 1)*(2*b - b + 2*b).
-81*b**2
Expand 2 + 0 + 1001*f - 933*f + (-2 + 3 + 1)*(-4 - f + 4) - 5*f + f + 2*f.
64*f + 2
Expand (-6 + 6 - 2*t)*(-2 + 1 - 4)*(0*t - 2*t + 6*t)*(0 + 3 - 1).
80*t**2
Expand (2*n + 3*n - 7*n)*(0 - 1 + 0)*(-29*n - 23*n + 14*n).
-76*n**2
Expand (-3*y**2 - 3 + 3)*(-3*y + 7*y + y)*(1 - y + 2*y + y)*(-165 - 20*y + 165).
600*y**5 + 300*y**4
Expand (-12 + 12 - 13*j)*(0*j + 2*j + 3*j).
-65*j**2
Expand 5*f - 5*f**2 - 5*f + 0 + 0 - 2*f**2 + f**2 + 0 + 0 + (4*f + 0*f - 3*f)*(0*f - 2*f + 3*f) + 4*f**2 - 6*f**2 - 4*f**2.
-11*f**2
Expand (-2 + t + 2 + (2*t + 2 - 2)*(1 - 2 + 0) + (1 + 2 + 1)*(3 - 3 - t))*(-4 - 3 - 1).
40*t
Expand (448 - 448 + 7*g)*(5 - 12 + 14 + 15).
154*g
Expand (-3*l**2 + l - l)*(-5*l + 4 - 4)*(1 - 8*l**2 + 6*l**2 - 3).
-30*l**5 - 30*l**3
Expand (0*x**2 - 3*x**2 + 2*x**2)*(5518*x - 5518*x + 114*x**2 + (0*x + 3*x - x)*(0 - x + 0)).
-112*x**4
Expand (-6*b + 3*b + 0*b)*(3 + 5 + 0)*(1 - 1 + 2).
-48*b
Expand (-20*c**2 + c**3 + 20*c**2)*(4 - 17 - 1).
-14*c**3
Expand (2*r**3 - r**2 + r**2)*(-7*r + 5 - 5) - 2 + 9*r**4 + 0*r**4 - 3*r**4.
-8*r**4 - 2
Expand (-x + x - x)*(35*x**2 + 0*x**2 + 17*x**2) + (0*x**2 + 2*x**2 + x**2)*(3*x - 2*x + 2*x).
-43*x**3
Expand (-4*k + 2*k + 4*k)*((0*k + 0*k - 2*k)*(3*k**2 - 2*k**2 + 0*k**2) - 4*k**3 - 3*k**3 + 3*k**3) + 2*k**4 - 26*k + 14 + 26*k.
-10*k**4 + 14
Expand (-4*f**4 + 9*f**4 - 6*f**4)*(3 + 3 - 3 + 3*f).
-3*f**5 - 3*f**4
Expand (-46 + 10 + 12)*(1 - 1 + 1)*(1 - 1 + 2)*(1 - 1 + 3*g)*(0*g**2 + 2*g**2 + 0*g**2).
-288*g**3
Expand (-r + 12*r + 2*r)*(2 + 2 - 2 + (4 - 6 + 3)*(0 + 0 + 1) + (0 + 2 + 3)*(-3 - 2 + 6) - 5 + 4 + 0).
91*r
Expand (-l**2 - 3*l**2 + 5*l**2)*(3*l + 0*l - l) - 231*l**3 + 174*l**3 + 2 + 150*l**3.
95*l**3 + 2
Expand (-2*i + 3 - 3)*(113 + 3*i - 69 - 58).
-6*i**2 + 28*i
Expand (3*v - 2*v + v)*(-5*v - 17*v - 4*v)*(6*v**2 - 20*v + 20*v).
-312*v**4
Expand 0*t**2 - t**3 + 0*t**2 + (-4 + 3 + 0)*(-5*t**3 + 37 - 37) + 2 - 2 + t**3 + (2*t + 0 + 0)*(4*t**2 - 4*t**2 - 2*t**2) - t**3 + 5 - 5 + 2*t - 2*t - 4*t**3.
-4*t**3
Expand (20*u + 6*u**3 + 5*u**3 - 25*u)*(-9 - 10 + 11).
-88*u**3 + 40*u
Expand (0 + 0 - 7*m**5)*(-1 - 2 + 9) + m - m**5 - m + (2*m**3 - 3*m**2 + 3*m**2)*(m**2 + m**2 - m**2).
-41*m**5
Expand 2*c**2 + 4 - 4 + (151*c**2 - 49*c**2 + 60*c**2)*(1 - 3 + 3).
164*c**2
Expand (p + 0 + 0)*(4*p - 6*p - 5 - 17).
-2*p**2 - 22*p
Expand (-1 - c + 1)*(-1 - 2 + 4) + 4*c - 3*c - 3*c + (-1 + 2 - 3)*(-c + 0 + 0) - c + 3*c + 5*c - 4 - 8*c + 4.
-2*c
Expand (-f + f + f)*(3 - 3 - 1)*(-f + 1067*f**2 + 29 - 7 - 1078*f**2).
11*f**3 + f**2 - 22*f
Expand 8*g**4 - 3*g**2 + 3*g**2 + (0*g - 5*g + 4*g)*(0*g**3 - 4*g**3 + 5*g**3) - 4*g**3 + 4*g**3 - 3*g**4.
4*g**4
Expand (0 + 0 - 3)*((-3 - 3 + 4)*(-2 + s + 2) + 2 + 2*s - 7*s + s).
18*s - 6
Expand (0*k - 2*k + k)*(2*k**3 + k**3 - k**3) + 2*k**4 + k**4 - 2*k**4 - k**2 + k**2 + 6*k**4 + (-6*k + 3*k + 2*k)*(2*k**2 - 2*k**3 - 2*k**2).
7*k**4
Expand -4051*m**5 + 1468*m**5 + 2012*m**5 + (0 - 3 + 5)*(0*m + 0*m + 2*m**5) + 2*m**2 - 2*m**2 - 2*m**5.
-569*m**5
Expand (-6 - 13 - 94)*(4*a + a - 3*a).
-226*a
Expand -11*g**4 - 9*g + 4*g**5 + 7*g + 14*g**4 + (-3*g**3 - g**3 + 2*g**3)*(3*g**2 - 3*g**2 - 9*g**2).
22*g**5 + 3*g**4 - 2*g
Expand 97 - 17*g**4 - 97 + (4*g + 0*g + 0*g)*(-1 - 2*g**3 + 1) - 3*g**4 + 0*g**4 + g**4.
-27*g**4
Expand -3*s**5 - 3*s**3 + 3*s**3 + (-s - 3*s + 5*s)*(0*s**4 - s**4 + 2*s**4) + 4*s**5 + 22*s**4 - 22*s**4.
2*s**5
Expand -j**5 - j**4 + j**4 + (3*j**4 + 0*j**4 - 4*j**4)*(3*j - 5*j + 0*j) - 11*j**5 - 18*j**5 - 19*j**5.
-47*j**5
Expand (0*n**2 + 0*n**2 - n**4)*(9 - 28 - 3) + (9*n**2 + 2*n**2 + 0*n**2)*(n - 4*n + 2*n)*(4 - n - 4).
33*n**4
Expand (-4*a**2 + 0*a**2 + 7*a**2)*(1 - 2 + 0)*(4*a + 15*a - 3*a)*(-7 + 1 + 3).
144*a**3
Expand (-117*z + 590 - 592 - 38*z)*(3*z + 2*z**2 - 3*z).
-310*z**3 - 4*z**2
Expand (3*u + 3*u - 4*u)*(4*u**3 - 5*u**3 + 0*u**3) - 86*u**4 + 31*u**4 + 30*u**4 + (-6*u**2 + 4*u**2 + u**2)*(3 - u**2 - 3) - u + u + u**4.
-25*u**4
Expand (26 - 4*a - 3*a - 25)*(-2*a - 2*a + 2*a + (0 - 3 + 1)*(a - a + a)).
28*a**2 - 4*a
Expand (1835 - 3678 + 4*q + 1845)*(-4 + 1 - 1).
-16*q - 8
Expand 747*i**3 - 747*i**3 - 129*i**4 + (-3*i**2 + 5*i**2 - 3*i**2)*(2*i**2 - i**2 - 3*i**2).
-127*i**4
Expand (-4*z**2 + 4*z**2 + z**2)*(220*z**3 + 703*z**2 - 704*z**2 + 91*z**3).
311*z**5 - z**4
Expand 2*c - 2*c - 2*c + (-c - 1 + 1)*(6 + 12 - 31).
11*c
Expand (2*b**2 + 0 + 0)*(-7*b**2 + 7*b**2 + 7*b**3) + 0*b**5 + 10*b**5 + 0*b**5 - 4*b**5 + 2*b**5 + b**5.
23*b**5
Expand (-3 + 3 + r)*(-396*r - 178*r + 272*r - 263*r).
-565*r**2
Expand (15*f - 17*f - 19*f)*(3 + 6*f - 12*f - 4*f).
210*f**2 - 63*f
Expand -10 + 3 + 0*c**4 + 3*c**4 + (c**2 - 2*c**2 - 2*c**2)*(-4*c**2 + c**2 + 2*c**2).
6*c**4 - 7
Expand (2*q - 1 - q + q)*(0 + 6 - 9)*(52 - 14*q - 52).
84*q**2 - 42*q
Expand (-6 - 6 + 5)*(9 - 9 + 8*i**2)*(5*i - 5*i + 2*i).
-112*i**3
Expand (-1 + x**3 + 1)*(-25 + 10 - 61)*(3 - 3 + 3).
-228*x**3
Expand (-4 - 2 + 4)*(2*s - 7*s + 14*s)*(-5 - 2 + 5).
36*s
Expand (17 + 20 + 9)*(-1 - 1 - 23)*(0 + 4 - 2)*(-5*b + 3*b + 4*b).
-4600*b
Expand (j + 2*j - 4*j)*(-50*j - 5*j + 21*j) + 7*j**2 - j + j.
41*j**2
Expand (-9*m**2 - 8*m**2 + 5*m + 15*m**2)*(3 - 11*m + 4 - 5).
22*m**3 - 59*m**2 + 10*m
Expand 7*j**4 + 0*j**3 + 0*j**3 - 21*j + j**4 + 21*j + (-4*j**3 + j**3 + j**3)*(-2*j - j + 4*j).
6*j**4
Expand 2 - 2*w + 6*w - 3*w + (-1 - 3 + 3)*(3*w + 2*w - 3*w) - 2 - 2*w + 2 - 4*w + 4*w + 2*w.
-w + 2
Expand (3 + 2*d**3 - 3)*(-3 - 1 + 0) + 18*d**3 - 33*d**3 - 22*d**3 - 55*d**3.
-100*d**3
Expand (56*d - 13*d**2 - 56*d)*(0 - 2 + 3) - d**2 + d**2 - 3*d**2 - d**2 + 4*d**2 - d**2 + 2*d**2 - 3 + 3 + (-6*d + 3*d + 2*d)*(4 - 4 - 2*d).
-10*d**2
Expand (z - 1 + 1)*(74 + 54 + 194 - 29).
293*z
Expand (-49*c**2 - 5128*c + 5128*c + (5*c + 0*c - 3*c)*(5*c + 0*c - 3*c))*(2 - 2*c - 3 - c).
135*c**3 + 45*c**2
Expand -22704*x**2 + 480*x**3 + 22704*x**2 + (5*x - x - 3*x)*(2*x**2 - 4*x**2 + 0*x**2).
478*x**3
Expand 0*u**2 - 6*u**2 + 0*u**2 + 4*u**2 + u**2 - 4*u**2 + 0 + 0 - u**2 + (-u + 0 + 0)*(-u - 2*u + u) + 10*u**2 - u**2 + u**2.
6*u**2
Expand -3 - 2*s**2 + 3 + (-4 - 3*s + 4)*(0 + s + 0) + 2 + 2*s**2 + 0 - 5 + s**2 + 0*s**2 - 4*s**2.
-6*s**2 - 3
Expand (43*s**4 - 28*s**4 + 36*s**4)*(-11 + 3 + 6 - 2*s).
-102*s**5 - 102*s**4
Expand (-1222 + 2418 - 1305)*(0*j**3 - 2*j**3 + 3*j**3).
-109*j**3
Expand (6*u - 3*u**2
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + 3) + 21*d + 8*d - 173*d.
-146*d
Expand (-11*d - 12*d + 22*d + 28)*(-2 - 10 - 12).
24*d - 672
Expand 17*v**2 - 2*v**2 - 4*v**2 - v**2 + v**2 - v**2 + (-1 + 1 - v)*(-4 + 4*v + 1 - 6*v).
12*v**2 + 3*v
Expand (-3 - 1 + 3 + (-4 + 5 + 1)*(3 - 2 - 3))*(-2*b**2 + 0*b**2 + 0*b**2)*(-34*b**3 + 13*b**3 - 20*b**3).
-410*b**5
Expand -3 + 3 - 3*q**4 + (-4 + 5 + 1)*(4*q**2 + q**2 - q**2)*(-4*q**2 + 4 - 4 - 4*q**2 + 3*q**2 + 2*q**2 + (-4 + 4 - 2*q)*(-2*q - q + 5*q)).
-59*q**4
Expand (-1 - 2*s + 1)*(4 - 4 - 4*s)*(-3*s - s + 2*s)*(524*s - 46*s**2 - 524*s).
736*s**5
Expand (3*u**2 + u**2 + u**2)*(3*u + 16*u + 3*u).
110*u**3
Expand -2*k**5 - 3*k**5 - 18*k**5 + (-3*k**3 - 2*k**3 + 2*k**3)*(1 + 2 - 5)*(2*k**2 - k**2 + 4*k**2).
7*k**5
Expand (0 - 3*r + 0)*(-6 - 1 + 2 - 4 + 2 + 3 + (-1 - 1 + 1)*(-2 + 4 - 3))*(5 - 4 - 2).
-9*r
Expand (-5 + 4 - 2)*(-22*j + j + 50*j)*(4*j**2 - 6*j**2 - 1 + 0*j**2) - 4 + 4 + 4*j**3.
178*j**3 + 87*j
Expand -w + 4*w + 3*w + (-2*w - w + w)*(1 - 2 + 2) + w + 2 - 2 + (2 - 2 - w)*(1 + 0 + 1).
3*w
Expand 4*q - 4*q + 7*q + (1 + 3 - 6)*(-12 + 6 - 1)*(5 - 5 - 6*q).
-77*q
Expand (-1 + 3 - 3)*(1 + z**2 - 3*z**2 - 2*z**2).
4*z**2 - 1
Expand (0*x - 2*x + 3*x)*(-1 - 1 + 7) - 3 - 4 + 5 + 5*x.
10*x - 2
Expand -4*i + 4*i + i + (-i + i - 3*i)*(-3 + 4 + 0)*(15 + 0 + 7).
-65*i
Expand (-2*v**5 - 2*v**5 + 2*v**5)*(28 - 12 + 75).
-182*v**5
Expand (-3 + 5 - 3)*(2*b**3 + 2*b**3 + 5*b**3 + (3*b**3 + 0 + 0)*(-5 - 5 + 0) - 2*b**3 + b - b).
23*b**3
Expand (4*d - 4*d - d**5)*(5 + 0 - 4) + 0*d**5 + d**5 + d**5 + (d**4 - 2*d**4 - 4*d**4)*(-2*d - 276 + 270 + 4*d).
-9*d**5 + 30*d**4
Expand (4*h**3 - 5*h**3 + 3*h**3)*(h**2 + 4*h**2 - 3*h**2 + (-3*h - h + 2*h)*(4 - 4 + 2*h) + 2*h**2 + 7*h**2 - h**2) - 8*h + 8*h - 4*h**5.
8*h**5
Expand 2 - 2 + 4*v**2 + (v - v + 2*v)*(4*v + 3*v - 5*v) + 2*v**2 + 0*v**2 - v**2 + (2 - 34*v - 2)*(2*v + 0*v - v).
-25*v**2
Expand (-71*u**3 - 87*u**3 - 21*u**3)*(-7*u + 3*u + 2*u) + 3*u**4 + 0*u**2 + 0*u**2.
361*u**4
Expand (130 - 304 + 148 - 2*k)*(-4*k + 4*k - 3*k**2).
6*k**3 + 78*k**2
Expand (-2*p**3 + 2*p**3 + p**4)*(1 + 4 - 3) - 11*p + 11*p + 2*p**4 + (2*p**3 + 0*p + 0*p)*(251 - 251 + 107*p).
218*p**4
Expand -1706 - 107 + 426 - 2*i + (0 - 1 - 1)*(-2 + 2 + 2*i) - 1 - 2*i + 1.
-8*i - 1387
Expand (1 - 2*h - 1)*(-h - h + 0*h + (39 + 50 - 25)*(h - 2 + 2) + (1 - 3 + 4)*(1 - h - 1) + h + h - h).
-122*h**2
Expand (-3 + 3 + 2)*(-8*t + 9*t + 9*t + 13*t - 6*t + 8*t + (0*t + 0*t - t)*(0 - 3 + 0)).
56*t
Expand (-5*o - 33*o + 18*o - 4)*(-6*o + o + 4*o).
20*o**2 + 4*o
Expand (39*k + 30*k + 2*k)*(0*k**3 + 0*k**3 + 2*k**3) + (-k**3 - k**2 + k**2)*(-k + 6 - 6) + k**4 + 0*k**4 + 2*k**4.
146*k**4
Expand (1 - 2 + 4)*(-164*r + 63 + 69 - 136).
-492*r - 12
Expand (-5 + 5 - 3)*(-55116 + 55116 - 382*v).
1146*v
Expand ((-f + f - 2*f)*(1 - 2 + 0) + 39*f + 70*f + 15*f)*(-4*f**3 + 2*f**3 + 4*f**3).
252*f**4
Expand (-22 + 39*l**3 + 22 + (l**3 + 16*l**3 - 3*l**3)*(2 + 3 - 3))*(2 - 2 - 2*l).
-134*l**4
Expand (-2 - 2 + 1)*(2*a + a**2 - 2*a) + (-4 + 1 + 4)*(4*a - 4*a - 2*a**2) - a**2 + 0*a**2 + 0*a**2 + (0*a - 2*a - a)*(-2*a - a + 2*a) + 2*a**2 - 4*a**2 + a**2.
-4*a**2
Expand (-2 + 2 - 2*v)*(-v + 2*v - 2*v) + (1 - 5 + 2)*(1 - v**2 - 1).
4*v**2
Expand (-t - 1 + 9 - 5)*(5*t**3 + 20*t**3 + 10*t**3).
-35*t**4 + 105*t**3
Expand 2 - 2 + g**2 + (-13*g + 2*g + 2*g)*(2 - 1 - 3)*(4*g + 5*g - 11*g).
-35*g**2
Expand -68 + 10*w**2 + 68 + (0*w**2 + 0*w**2 + w**2)*(-2 + 2 - 2) + (2*w - 9*w - 14*w)*(w - 3*w + 0*w).
50*w**2
Expand (m**2 - m + m)*(0*m + 0*m - 4*m)*(-35 + 12 - 61).
336*m**3
Expand 4*h**3 - 3*h**3 + h**3 + (h - 2*h + 2*h)*(-3*h**2 + 3*h**2 - h**2) + 2*h**3 - 3 + 3 + (-2 + 2 - h**2)*(0 - h + 0).
4*h**3
Expand (-54 + 2*x + 54)*(-1 + 0 + 2)*(-35354*x + 2 - 2 + 35309*x).
-90*x**2
Expand (-3*f**2 + 5*f**2 - 3*f**2)*(-109*f - 113*f + 349*f**2 + 221*f).
-349*f**4 + f**3
Expand (-52 + 244 + 114)*(2*t - 4 + 4).
612*t
Expand (-5*g**2 - g**2 + 4*g**2)*(0*g**2 - 98*g**2 + 28*g**2).
140*g**4
Expand (-26 - 68 - 80)*(-11*j - 3*j**2 + 11*j).
522*j**2
Expand -43*q + 15 - 15 + (-q - 1 + 1)*(3 - 4 + 2).
-44*q
Expand (s - s + s)*(7*s**2 + 12 - 12) + 2*s**3 + 0*s**2 + 0*s**2 + 8*s**3 - 7*s**3 + 8*s + s + 1.
10*s**3 + 9*s + 1
Expand (1 - k**2 - 1)*(-67 - 16*k + 1 + 12*k).
4*k**3 + 66*k**2
Expand (0 + 0 + h)*(-61 + 40 + 143)*(-1 + 3*h + 1).
366*h**2
Expand (-3*u**2 - 6*u**2 + 3*u**2)*(u**2 + 25*u**2 + 14*u**2) + (1 - 1 + 1)*(-u**4 + u**4 - 2*u**4).
-242*u**4
Expand (0*n - n**2 + 0*n)*(3*n**2 + 0*n**2 - 5*n**2) + 3*n**2 - 6*n**4 - 3*n**2 + 2 + 24*n**2 - n**4 + 2*n**4 - 28*n**2.
-3*n**4 - 4*n**2 + 2
Expand (-1 + 1 + 3 + (-4 + 0 + 2)*(0 + 3 - 1) - 2 - 3 - 3 + (-2 + 4 + 0)*(-1 - 1 - 1))*(3*p - 3*p - 3*p).
45*p
Expand (1 + 4 - f - 2)*(144 - 144 + 14*f)*(-f**3 + 9*f**2 - 9*f**2).
14*f**5 - 42*f**4
Expand (0*q + 2*q**2 + 0*q)*(4*q - 4*q + q**3) - 5*q**3 - 2*q**5 + 5*q**3 + (-1 + 3 + 2)*(17*q**5 + 24*q**5 - 16*q**5).
100*q**5
Expand b + 2*b - b - 5*b + 3*b + 3*b + (7 - 5 + 2)*(b + 3*b - 2*b) + (2 - 4*b - 2)*(-4 + 1 + 4).
7*b
Expand 1 - 1 - u + (-1 - 4 + 4)*(-7*u - u - 8*u).
15*u
Expand ((2 - 1 - 2)*(-1 - 2 + 2) - 2 - 5 + 17)*(-9 + 21 - 14 - 4*g)*(0*g + 0*g - 3*g**2).
132*g**3 + 66*g**2
Expand (2*w**2 + 0*w + 0*w)*(0 + 1 + 0)*(-3 + 0 - 5).
-16*w**2
Expand (-2 + 2 + 2)*(z - z - z**2) - z**2 - 2 + 2 + (-4*z + 2*z + 0*z)*(49874 - 49874 - 241*z).
479*z**2
Expand (12*n**5 - 18*n**2 + 18*n**2 - n**4)*(-15 + 2 + 0) + (-n**3 + 0*n**3 + 4*n**3)*(-2*n**2 + 1 - 1).
-162*n**5 + 13*n**4
Expand 10*m**4 + 3*m**2 - 8*m**4 - m**2 + (-2*m**3 + 0*m**3 + m**3)*(-4*m - 2*m + 5*m)*(0 - 4 - 1).
-3*m**4 + 2*m**2
Expand 92*t**2 - 52*t**2 + 12*t**3 - 48*t**2 + (2*t**2 + 0*t**2 - 3*t**2)*(-3*t + 0*t + t).
14*t**3 - 8*t**2
Expand (2 + 2 - 1)*(-5*a**5 - a**5 - 1 - 2*a**5).
-24*a**5 - 3
Expand (-3*l**2 - 2*l**3 + 3*l**2)*(13*l - 15*l + 27*l).
-50*l**4
Expand 716*v**3 - 716*v**3 + 65*v**4 + v**4 + 0*v**4 - 2 + 4 - 3*v**4 + 0*v**4 + 2*v**4 + (2*v**2 - 6*v**2 + 2*v**2)*(3*v**2 + v**2 - 2*v**2).
61*v**4 + 2
Expand (-19361*l**2 - 126*l**5 + 19361*l**2)*(-1 - 5 + 4).
252*l**5
Expand (69 - 29 + 56)*(s + 2 - 2) + 2*s - 4*s + 4*s.
98*s
Expand (-2*r + 3 - 3)*(-30 - 18*r**2 + 30) + 0*r + 0*r - 2*r**3.
34*r**3
Expand -8*y**4 - 22 - 18*y**4 + 19 + 0 + 0 + 3*y**4 + 0*y**2 + 2*y**4 + 0*y**2 - 2*y**4 - 3*y**4 + 3*y**4 + (2*y**3 + 3*y**3 - 7*y**3)*(3*y + y - 2*y).
-27*y**4 - 3
Expand -33*z**3 + 35*z**3 + 49*z - 115*z + (z**2 - 3*z**2 - z**2)*(-2*z + 4*z - z).
-z**3 - 66*z
Expand (2*b**3 + 4*b**2 - 4*b**2)*(212*b**2 + 397*b**2 + 59*b**2).
1336*b**5
Expand 2*q**4 + 1 - 1 + (-314 + 680 - 287)*(2*q + 0 + 0)*(-1 + 5 - 2)*(-2*q + 2*q**3 + 2*q).
634*q**4
Expand (-f + f - f)*(3*f**3 - 2*f**3 - 3*f**3) - 11*f**4 - 4*f**4 - 11*f**4 - 4*f**4 + 13*f**4 - 10*f**4 - f**4 - f**3 + f**3.
-26*f**4
Expand (-34 + 24 - 70)*(-r + 2*r + 0*r).
-80*r
Expand -370*w + 257 - 257 + (4*w - 3*w + w)*(2 + 2 - 2).
-366*w
Expand 3*w + w - w + (-4 - 2 + 3)*(-w + 0 + 0) + 5 - 5 + 2*w + (w - 2*w + 3*w)*(0 - 4 + 6) + 2 - 2 - w + (-3 + 1 + 4)*(-2 + 2*w + 2).
15*w
Expand (-2134 - 1066 + 596 - 895)*(2 + 0*y + 0*y - 2*y).
6998*y - 6998
Expand (132*g + 2*g**2 - 926408 + 926408)*(g + 3*g - 5*g).
-2*g**3 - 132*g**2
Expand (-12 + 3 - 3 + (6 - 3 + 0)*(0 - 5 + 3))*(-3*b - b + 0*b)*(-1 + 1 + 2*b).
144*b**2
Expand (f**2 - 4 - 2*f**3 + 4)*(172*f**2 - 65*f**2 - 66*f**2).
-82*f**5 + 41*f**4
Expand (-2*g**2 + 3*g**2 - 2*g**2)*(1 + 1 + 2) + (-1 + 1 + 1)*(3*g**2 + 5*g**2 - 2*g**2).
2*g**2
Expand (z - 9*z + 6*z + 2*z + 0*z - 4*z + (-1 + 1 - 2*z)*(-1 + 1 + 3))*(4 + z**2 - 4).
-10*z**3
Expand (31 + 4 + 28)*(2*t + 2*t - t).
189*t
Expand (-2*d - d - d)*((33 - 33 - 46*d**2)*(2 + 4 - 5) + 2*d - 2*d + 2*d**2 + (-d**2 - 1 + 1)*(2 + 2 - 2) + 0*d + 0*d - d**2).
188*d**3
Expand (-5*h - 82*h + 4*h)*(-15 + 0 - 9 + 7 - 22).
3237*h
Expand -7 + 2*i**2 - 56 - 14 + (i**2 + 2*i**2 - i**2)*(3 - 1 + 0).
6*i**2 - 77
Expand (9*d**5 - 1403*d**2 + 1413*d**2 + 5*d**5)*(-4 - 2 + 4).
-28*d**5 - 20*d**2
Expand ((4 + 1 - 3)*(2 - 1 + 0) - 1 + 4 - 2)*(-3*f**3 + 3*f**3 - 7*f**5).
-21*f**5
Expand (1 - 1 - 2*m + (2 - 1 + 1)*(4*m + 2*m - 5*m) + 0*m - 2*m + m)*(-m**2 + 4 - 4).
m**3
Expand (6*i + 2*i + 5*i + 4*i - i - i + i + 0 + 0 + (0*i + 3*i - i)*(-1 - 1 + 0))*(-3*i**3 + 40*i - 40*i - 2*i**4).
-24*i**5 - 36*i**4
Expand ((-1 + 5 - 2)*(0*k**3
|
{
"pile_set_name": "DM Mathematics"
}
|
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