text stringlengths 270 8.19k | meta dict |
|---|---|
he nearest integer?
3
What is 17677629 to the power of 1/4, to the nearest integer?
65
What is 348992 to the power of 1/2, to the nearest integer?
591
What is the square root of 12482749 to the nearest integer?
3533
What is 589288 to the power of 1/8, to the nearest integer?
5
What is 3052329 to the power of 1/8, to the nearest integer?
6
What is the cube root of 2272234 to the nearest integer?
131
What is 853892 to the power of 1/2, to the nearest integer?
924
What is the square root of 109295 to the nearest integer?
331
What is the third root of 10239403 to the nearest integer?
217
What is the tenth root of 1242988 to the nearest integer?
4
What is the cube root of 6045757 to the nearest integer?
182
What is the square root of 3720787 to the nearest integer?
1929
What is 6553352 to the power of 1/3, to the nearest integer?
187
What is 821396 to the power of 1/2, to the nearest integer?
906
What is the eighth root of 740229 to the nearest integer?
5
What is the eighth root of 7988904 to the nearest integer?
7
What is 2521899 to the power of 1/2, to the nearest integer?
1588
What is the ninth root of 6402168 to the nearest integer?
6
What is the square root of 625064 to the nearest integer?
791
What is 2027667 to the power of 1/9, to the nearest integer?
5
What is the third root of 219109 to the nearest integer?
60
What is the fifth root of 4965145 to the nearest integer?
22
What is the square root of 3174864 to the nearest integer?
1782
What is the eighth root of 8145839 to the nearest integer?
7
What is 873669 to the power of 1/3, to the nearest integer?
96
What is 299037 to the power of 1/5, to the nearest integer?
12
What is 928623 to the power of 1/10, to the nearest integer?
4
What is the cube root of 5227955 to the nearest integer?
174
What is the fourth root of 10293369 to the nearest integer?
57
What is the cube root of 1992110 to the nearest integer?
126
What is 8016134 to the power of 1/2, to the nearest integer?
2831
What is the cube root of 30119835 to the nearest integer?
311
What is 394777 to the power of 1/2, to the nearest integer?
628
What is 3033711 to the power of 1/10, to the nearest integer?
4
What is 363383 to the power of 1/2, to the nearest integer?
603
What is 10945187 to the power of 1/9, to the nearest integer?
6
What is the sixth root of 4617965 to the nearest integer?
13
What is 21172 to the power of 1/3, to the nearest integer?
28
What is 680493 to the power of 1/9, to the nearest integer?
4
What is 2475370 to the power of 1/3, to the nearest integer?
135
What is the sixth root of 3843154 to the nearest integer?
13
What is the square root of 343496 to the nearest integer?
586
What is the third root of 33699187 to the nearest integer?
323
What is the eighth root of 825310 to the nearest integer?
5
What is 6500062 to the power of 1/2, to the nearest integer?
2550
What is the cube root of 8339762 to the nearest integer?
203
What is 110095 to the power of 1/2, to the nearest integer?
332
What is 6219996 to the power of 1/3, to the nearest integer?
184
What is the ninth root of 4964306 to the nearest integer?
6
What is 375763 to the power of 1/2, to the nearest integer?
613
What is 24576034 to the power of 1/8, to the nearest integer?
8
What is the seventh root of 379290 to the nearest integer?
6
What is the square root of 1051562 to the nearest integer?
1025
What is the third root of 336055 to the nearest integer?
70
What is the third root of 211321 to the nearest integer?
60
What is 2427225 to the power of 1/2, to the nearest integer?
1558
What is 1494552 to the power of 1/3, to the nearest integer?
114
What is the fifth root of 12422203 to the nearest integer?
26
What is the square root of 13188602 to the nearest integer?
3632
What is the square root of 384360 to the nearest integer?
620
What is the third root of 518249 to the nearest integer?
80
What is 9022709 to the power of 1/2, to the nearest integer?
3004
What is the square root of 710095 to the nearest integer?
843
What is the third root of 1344762 to the nearest integer?
110
What is the cube root of 14723135 to the nearest integer?
245
What is the square root of 1300908 to the nearest integer?
1141
What is the square root of 1499172 to the nearest integer?
1224
What is 8170722 to the power of 1/10, to the nearest integer?
5
What is 6074841 to the power of 1/7, to the nearest integer?
9
What is the square root of 456228 to the nearest integer?
675
What is the third root of 142254 to the nearest integer?
52
What is 174858 to the power of 1/2, to the nearest integer?
418
What is 877442 to the power of 1/5, to the nearest integer?
15
What is 10512338 to the power of 1/7, to the nearest integer?
10
What is 12792800 to the power of 1/3, to the nearest integer?
234
What is the eighth root of 409741 to the nearest integer?
5
What is 443961 to the power of 1/2, to the nearest integer?
666
What is the third root of 16501463 to the nearest integer?
255
What is 8490174 to the power of 1/2, to the nearest integer?
2914
What is the square root of 153300 to the nearest integer?
392
What is the third root of 72636 to the nearest integer?
42
What is the third root of 177059 to the nearest integer?
56
What is 175304 to the power of 1/2, to the nearest integer?
419
What is 1409716 to the power of 1/3, to the nearest integer?
112
What is 22200901 to the power of 1/2, to the nearest integer?
4712
What is the cube root of 6735506 to the nearest integer?
189
What is the cube root of 1221068 to the nearest integer?
107
What is the cube root of 716668 to the nearest integer?
89
What is 19974 to the power of 1/2, to the nearest integer?
141
What is 521466 to the power of 1/2, to the nearest integer?
722
What is 6943098 to the power of 1/2, to the nearest integer?
2635
What is the third root of 2672551 to the nearest integer?
139
What is the square root of 4944634 to the nearest integer?
2224
What is 10958206 to the power of 1/3, to the nearest integer?
222
What is the eighth root of 6004512 to the nearest integer?
7
What is 23395671 to the power of 1/6, to the nearest integer?
17
What is the cube root of 3110377 to the nearest integer?
146
What is 2651499 to the power of 1/5, to the nearest integer?
19
What is 134360 to the power of 1/10, to the nearest integer?
3
What is the cube root of 273062 to the nearest integer?
65
What is the fifth root of 7155214 to the nearest integer?
23
What is the seventh root of 1285823 to the nearest integer?
7
What is 26219 to the power of 1/2, to the nearest integer?
162
What is the square root of 68130 to the nearest integer?
261
What is the ninth root of 2006071 to the nearest integer?
5
What is 2892212 to the power of 1/2, to the nearest integer?
1701
What is 1791707 to the power of 1/6, to the nearest integer?
11
What is the seventh root of 281634 to the nearest integer?
6
What is the sixth root of 1884178 to the nearest integer?
11
What is 978504 to the power of 1/2, to the nearest integer?
989
What is 1008279 to the power of 1/9, to the nearest integer?
5
What is the square root of 5629594 to the nearest integer?
2373
What is 222380 to the power of 1/2, to the nearest integer?
472
What is the third root of 1856149 to the nearest integer?
123
What is 1787095 to the power of 1/6, to the nearest integer?
11
What is 295302 to the power of 1/3, to the nearest integer?
67
What is 9683112 to the power of 1/2, to the nearest integer?
3112
What is the sixth root of 3379051 to the nearest integer?
12
What is 4530889 to the power of 1/7, to the nearest integer?
9
What is the third root of 699933 to the nearest integer?
89
What is the fourth root of 411684 to the nearest integer?
25
What is 1933083 to the power of 1/9, to the nearest integer?
5
What is the seventh root of 6079036 to the nearest integer?
9
What is 70162 to the power of 1/2, to the nearest integer?
265
What is the fifth root of 4241 to the nearest integer?
5
What is the third root of 249177 to the nearest integer?
63
What is the cube root of 739883 to the nearest integer?
90
What is the eighth root of 301399 to the nearest integer?
5
What is the cube root of 10984493 to the nearest integer?
222
What is the fourth root of 195273 to the nearest integer?
21
What is 543299 to the power of | {
"pile_set_name": "DM Mathematics"
} |
ed by -303381
-684
142943298 divided by -3
-47647766
-13037 divided by -245
13037/245
Calculate -892931230 divided by 5.
-178586246
What is -7218822 divided by 189969?
-38
Divide -108781308 by -171.
636148
Calculate -356264472 divided by -3.
118754824
Calculate -348 divided by -136728.
29/11394
-37216566 divided by 18608283
-2
5 divided by -22666478
-5/22666478
-19871594 divided by 12
-9935797/6
3596400 divided by 1800
1998
Divide -1399348608 by 32249.
-43392
Calculate 120524 divided by 163.
120524/163
What is -16993588 divided by 5?
-16993588/5
-188874 divided by -136
94437/68
Calculate -719410380 divided by -35970519.
20
What is -753115 divided by -11?
68465
Divide -75 by -816127.
75/816127
Divide 0 by -60323.
0
Calculate -93743160 divided by 2678376.
-35
What is -11293695 divided by 333?
-33915
Divide 2068 by 12387.
2068/12387
-355821690 divided by 662
-537495
What is -5504664 divided by -2?
2752332
What is -60117 divided by 40?
-60117/40
-253 divided by -2736
253/2736
Calculate 96469890 divided by 15.
6431326
20747500 divided by 4
5186875
Divide 1102 by 51320.
551/25660
Divide -2099352310 by -5.
419870462
What is -45872 divided by 1592?
-5734/199
Calculate -275656530 divided by 3.
-91885510
-153179109 divided by 3
-51059703
Calculate -1212365 divided by -1645.
737
What is 517355647 divided by 1?
517355647
Divide 0 by -71252.
0
Divide 38671620 by -59956.
-645
What is -5963433 divided by -4?
5963433/4
Divide -64008634 by -30803.
2078
148 divided by 23743
148/23743
Divide 32882 by 561.
32882/561
-26 divided by -16037971
26/16037971
34115120 divided by -3
-34115120/3
What is 26764350 divided by 535287?
50
Calculate 5 divided by 1528449.
5/1528449
Calculate -11798596 divided by -436.
27061
Calculate -6372 divided by -101818.
3186/50909
Calculate -5400 divided by 4404.
-450/367
10063746 divided by 99
101654
Divide 266400 by 740.
360
Calculate -966946 divided by -2.
483473
What is 4100870 divided by -5?
-820174
What is 7 divided by 115521?
1/16503
What is -1997764 divided by 499441?
-4
-24794133 divided by 8264711
-3
Calculate -5651 divided by -165.
5651/165
Calculate 440800618 divided by -1.
-440800618
-7909841 divided by -1
7909841
Divide -218917663 by -2.
218917663/2
Calculate 9110736 divided by 4.
2277684
8970129 divided by -2990043
-3
What is 5750 divided by -11252?
-2875/5626
Divide -3817376 by -32.
119293
What is -115196151 divided by -1622481?
71
Calculate -61983 divided by 1.
-61983
Calculate -51436 divided by 125.
-51436/125
Calculate -4255960 divided by -515.
8264
What is -17318170 divided by -3463634?
5
Divide 69155480 by 3457774.
20
What is 577271 divided by -754?
-577271/754
14701117 divided by -639179
-23
What is -381842895 divided by -1?
381842895
What is 26499278 divided by -2038406?
-13
Divide 2760 by -16009.
-2760/16009
Calculate 25644126 divided by 1.
25644126
-42190165 divided by -19309
2185
760457 divided by 38
760457/38
Calculate 158907322 divided by 35798.
4439
Calculate -13779700 divided by -55.
250540
Calculate -1631 divided by -87363.
1631/87363
-139867 divided by -139867
1
Calculate -33823387 divided by 64181.
-527
Calculate -11259452 divided by -2814863.
4
Calculate -102753420 divided by -1540.
66723
Calculate 6 divided by 1553159.
6/1553159
Calculate -5904010 divided by 49.
-120490
Calculate 13033 divided by -253.
-13033/253
Calculate -366178450 divided by -950.
385451
Calculate 5 divided by -49616223.
-5/49616223
Divide 190754433 by 16167.
11799
Divide -10475 by -445.
2095/89
Calculate -1265270160 divided by -1470.
860728
-234361176 divided by 18606
-12596
Calculate -12203791 divided by -14.
12203791/14
114875483 divided by -3
-114875483/3
Calculate 67257950 divided by -5.
-13451590
What is -4 divided by -17007230?
2/8503615
Calculate -210892750 divided by 1.
-210892750
Divide 3258868 by -17.
-3258868/17
What is -22936720 divided by 1146836?
-20
Calculate 593632 divided by -547.
-593632/547
-721453784 divided by 8
-90181723
Divide 59 by -2630870.
-59/2630870
Calculate 0 divided by 136922544.
0
-316193787 divided by -42897
7371
What is -877116 divided by -15388?
57
What is -20492010 divided by -4098402?
5
Divide -12855553 by -1117.
11509
Divide -16859104 by -32.
526847
What is -16816 divided by -10368?
1051/648
Divide 932683520 by 8.
116585440
Divide -29502567 by 3.
-9834189
3325385 divided by -95011
-35
-404416 divided by 14
-202208/7
108221720 divided by -21644344
-5
Divide 60616678 by 5.
60616678/5
Calculate 43426891 divided by -43297.
-1003
20708160 divided by 117660
176
Calculate 20 divided by 23598173.
20/23598173
Divide 3482857 by 3482857.
1
Calculate 37015344 divided by 57.
649392
Calculate -4941 divided by 12824.
-4941/12824
Divide -186650403 by 6.
-62216801/2
What is 25 divided by -1219704?
-25/1219704
Divide 107889 by -74.
-107889/74
-4726860 divided by -472686
10
What is -137629265 divided by -2?
137629265/2
Divide 1414 by -11806.
-707/5903
-115098688 divided by 14944
-7702
Calculate -65532 divided by 161.
-65532/161
Calculate -2126 divided by -698.
1063/349
What is -4 divided by -740872?
1/185218
Calculate -115382 divided by -58.
57691/29
What is 115 divided by -72099?
-115/72099
What is 183751 divided by 38?
183751/38
1968064 divided by 1337
1472
Calculate -105444508 divided by 13429.
-7852
-67014810 divided by -6
11169135
Calculate -35742670 divided by -39670.
901
Calculate -3178638 divided by -1589319.
2
-1271634 divided by -32606
39
Calculate -2492015 divided by -4.
2492015/4
Divide -140289696 by 6099552.
-23
10013 divided by -379
-10013/379
487 divided by -84439
-487/84439
2 divided by 2799340
1/1399670
-275260 divided by -137630
2
Divide 166188608 by 8.
20773576
What is 0 divided by 58939577?
0
What is -13000922 divided by 1111?
-11702
What is 1288680 divided by -14?
-644340/7
Divide -231 by -55105.
231/55105
189596705 divided by 2
189596705/2
What is -4585004 divided by -2623?
1748
Divide 5639375 by 161125.
35
-15965968 divided by -997873
16
What is -6402180 divided by -7?
6402180/7
Divide 437266044 by -25721532.
-17
Calculate -1423 divided by -19350.
1423/19350
1 divided by 980430
1/980430
What is -2116750 divided by 677?
-2116750/677
-16943003 divided by 209
-81067
Divide -10077600 by 38.
-265200
Calculate -5294 divided by 11224.
-2647/5612
42566488 divided by 7
42566488/7
What is -7625387 divided by -12859?
593
Divide -358065855 by -7.
51152265
Divide 138339894 by -143209.
-966
Calculate 243218 divided by -142.
-121609/71
What is 222978248 divided by 1?
222978248
Calculate -123447456 divided by 165924.
-744
What is 535803900 divided by 3?
178601300
1 divided by -4101881
-1/4101881
-419970604 divided by -61
6884764
Calculate 222 divided by 33284.
111/16642
Divide -91020336 by -422.
215688
What is 23 divided by 395933?
23/395933
Divide 350396259 by 116798753.
3
Divide -568115376 by 201174.
-2824
Calculate -2092 divided by 734.
-1046/367
Calculate 5164065 divided by -1.
-5164065
-56911404 divided by 14227851
-4
Divide 204927405 by 1.
204927405
-126641664 divided by 108
-1172608
Divide -6346337 by -7.
6346337/7
20762 divided by -7386
-10381/3693
Calculate 164 divided by 991778.
82/495889
Divide 745800400 by 46612525.
16
What is -11749686 divided by -345579?
34
What is 6112960 divided by 1222592?
5
-67549057 divided by -4
67549057/4
Calculate 244941432 divided by 61235358.
4
Calculate 3598790 divided by -5.
-719758
Divide -44231550 by 6.
-7371925
Calculate -19 divided by -20915.
19/20915
Divide -571764000 by -2544.
224750
What is 23453792 divided by -5863448?
-4
Divide 221848285 by -5.
-44369657
Calculate -6 divided by -665466.
1/110911
1263792 divided by -16
-78987
What is -84079631 divided by 6?
-84079631/6
Calculate 778731 divided by 3.
259577
Calculate -70824754 divided by -595166.
119
Divide -6262200 by 74550.
-84
Divide 101 by -4021526.
-101/4021526
Divide -248596472 by 392108.
-634
What is -109326789 divided by -934417?
117
87695 divided by -27
-87695/27
-347827 divided by -137
347827/137
Divide 86575 by 230.
17315/46
What is 156797 divided by -98?
-156797/98
Calculate 5 divided by -5305589.
-5/5305589
Calculate -1514762284 divided by 216394612.
-7
Divide -8593840 by -4828.
1780
What is -479873 divided by -25?
479873/25
Calculate -326 divided by 190854.
-163/95427
What is 2495244 divided | {
"pile_set_name": "DM Mathematics"
} |
/14
Let p = 41 + -65. Let v = p - -25.7. Let b = v + -1.84. Which is greater: -2 or b?
b
Let m be ((-44)/(-132))/((-1)/(-3)). Let g be 1*(-6)/(2 - 1). Let k be ((-8)/(-1002))/(g/(-9)). Is k greater than or equal to m?
False
Suppose -12*m - 1672 = -m. Let t = m - -151. Are 143 and t unequal?
True
Suppose 0 = 12*h - 0*h. Let l = -19541/22 - -888. Which is smaller: l or h?
l
Suppose 5*f = i - 6*i + 110, 40 = 2*f + 4*i. Suppose 0 = -3*o + 5*o. Suppose -l - 4*l - 10 = o, p - 2*l = -f. Is p greater than or equal to -28?
True
Let x be (4*(-9)/(-144)*(2 + -2))/(-5). Which is smaller: x or -25/116?
-25/116
Suppose -15 = -3*h - d + 2, 0 = -3*h - 5*d + 25. Let r be ((-2)/1)/(-2) - 109 - h. Is r <= -112?
True
Let k(o) = -4*o + 4. Let s = 17 - 12. Let v be k(s). Suppose 208*m = -18*m + 103*m - 1968. Is m < v?
False
Let d(l) = l**3 - 5*l**2 + 4*l + 10. Let w be d(7). Let v be w/240 - 2/12. Let a = 365 - 371. Are a and v nonequal?
True
Suppose -2*i + 4*h + 48 = 0, 2*i - 44 = -0*i + 2*h. Suppose -3*w - w = 5*g - i, 3*w = 5*g - 20. Suppose -2*k - 36 = g*k. Which is greater: k or -19/3?
k
Let a = 76.14 + 1869.86. Which is smaller: -0.1 or a?
-0.1
Let h = 378 - 373. Let u be (8/(-18))/(-8*h/140). Are u and 3 nonequal?
True
Let b be (((-306)/15)/2)/(7 + 9/(-15)). Which is smaller: b or -2?
-2
Let s = 8399 + -8400. Is -2/6529 equal to s?
False
Let i be (2/3)/(8/(-132)). Let u = -1.58 + 1.3. Let d = u + 0.58. Which is bigger: d or i?
d
Let z(x) = -24*x + 330. Let q be z(14). Let i be 3/(-18) + (1335/18 - q). Are 79 and i equal?
False
Let p = -2.1 + 2.05. Which is smaller: p or 44?
p
Let w(k) = -k**3 + 74*k**2 + 161*k - 657. Let x be w(76). Suppose q - 16 = 13. Which is smaller: x or q?
x
Let s = -0.06 - 1.94. Let u be (-57)/(-133) + 5806/(-6552). Let y = 1/252 - u. Which is smaller: s or y?
s
Let b(f) = f**2 + 4*f + 1. Let s be b(-3). Let g be 17/14 - s/4. Suppose -93265 = 26*u - 93343. Is g at most u?
True
Let p = 6.36 + -8.36. Let l = 1.99 - 2.3. Which is greater: l or p?
l
Suppose -169*j = 88*j - 220763. Which is greater: j or 867?
867
Let p be (-1)/((-3)/4*(-6)/(-9)). Suppose 349*t - p = 348*t. Which is smaller: t or 135?
t
Let a be (-3)/(-6) + (-2890126)/828. Let m(t) = 1706*t + 78. Let l be m(2). Let c = a + l. Which is greater: c or 0?
c
Suppose -4 = p + 4*k - 0, -2*p - 4*k = 4. Let d be 2 + p - (-8 + 1). Let q = 1969 + -1961. Is d < q?
False
Let g be (-354)/84 - (-10)/(-12). Which is bigger: g or -5?
-5
Suppose 5*s - 10 = 0, -7*s + 228 = -4*v - 3*s. Let t be ((-32)/v)/((-64)/(-160)). Is t less than or equal to 1?
False
Let f be (-5 + 8)/3*(-1 - -34). Suppose 0 = -3*l - 21 + f. Suppose 0 = 3*j - d + 1, -4*d = -l. Which is smaller: -9/7 or j?
-9/7
Let a = 48.20528 + 0.02472. Let d = a + -48. Let t = 6 + -4. Is t smaller than d?
False
Let i = -41971 + 41968.989. Is i not equal to 6/5?
True
Suppose -3*t = 3 + 24. Suppose 350 + 118 = 39*p. Suppose 12*i - 12*i = -p*i. Which is smaller: i or t?
t
Let g = 18.19 + -21.19. Which is bigger: 3499 or g?
3499
Suppose -7*j + 8 = -20. Suppose -j = -4*n, -5*n + 17 = 7*y - 3*y. Suppose 4*c = -y*m + 7, 5*m - 4*m = -4*c + 5. Which is smaller: -2 or m?
-2
Let f be 248/(-189)*-3 + 4/14. Let z = -37/9 + f. Is z > -5?
True
Let h = 14.771 + 35.529. Which is bigger: -3/5 or h?
h
Suppose 0 = 7*q + 5037 - 62052. Let z = q - 2972922/365. Is -1 >= z?
False
Let s = -85 - -89. Suppose -10*m - 257 = -4*j - 5*m, -148 = -2*j - s*m. Are 70 and j non-equal?
True
Let v = -15709/2 - -7863. Which is bigger: -125 or v?
v
Let i = 52.14 - 192.14. Which is greater: i or 0.06?
0.06
Suppose 0 = 88*w - 132*w + 121208 - 21196. Which is smaller: 2274 or w?
w
Suppose -15*j = -34*j - 76. Let l = -7933/2070 - 1/1035. Is j < l?
True
Let t(q) = 2833*q - 4. Let h be t(1). Suppose 2019 + h = 12*m. Is 403 smaller than m?
True
Let n be (1740656/909)/8*(-5)/(-10). Let z = n - 14/909. Which is greater: z or 120?
120
Let c = 144.6 + -144.54. Which is smaller: 3/106 or c?
3/106
Let w(g) = -70*g - 68*g - 1 - 74*g + 6*g**2 + 205*g. Let f be w(3). Which is greater: f or 35?
35
Let l = 2129 - 2168.07. Let v = 39 + l. Let i = -0.26 + v. Which is greater: -1/4 or i?
-1/4
Suppose -2*x - 3*w - 1 = -6, -2 = -2*w. Let u = -177 + 179. Let a be u/(1 + (8/5 - 3)). Which is bigger: x or a?
x
Let w be (-12 - 0)*(-279)/(-12). Suppose 0 = 5*g - 8*s + 3*s + 1410, 3*s + 1402 = -5*g. Is g not equal to w?
True
Let s = -16 - -8. Let y = -90231 - -90227. Are s and y equal?
False
Suppose 0 = s - y - 6 - 18, 5 = -y. Suppose -21*p - 65 - 61 = 0. Let o(z) = -z**3 - 7*z**2 - 10*z - 6. Let l be o(p). Is l equal to s?
False
Let k = -14175 - -14178. Which is smaller: k or 8/47?
8/47
Let b = 2/62955 + -62969/440685. Suppose 0 = v - 77 + 21. Does v = b?
False
Let v = 0.25426 - 515.10426. Let m = 515 + v. Is m >= 0.15?
True
Let w be (-16)/(0 + 4) + 4. Suppose -2*l + 20 = -5*x - 7*l, -2*x + 1 = -l. Let o be ((-36)/196)/9*x. Which is smaller: w or o?
w
Let o = -3.9 + -33.1. Let g = -45 + o. Let f = g + 80. Which is greater: 1/6 or f?
1/6
Suppose 9*k - 2030 - 458 = -292. Which is bigger: k or 242?
k
Let g(a) be the third derivative of 5/24*a**4 + 0 - 5*a**3 + 0*a + 38*a**2. Let b be g(11). Which is greater: b or 24?
b
Let a = -4.87 + -0.13. Let z = -276.92 + 274.42. Is a > z?
False
Let a(i) = -105*i + 6. Let t be a(1). Let k = -115 - t. Which is greater: -17 or k?
k
Let f be ((-4)/9)/(-2) - (-7424)/288. Let a be (-3)/((-14)/6 + 2). Suppose 16 = g - a. Is g less than or equal to f?
True
Suppose 0 = -5*b + 3*b - 4*x - 10, 0 = -2*b + 3*x + 11. Let u(n) = n**2 - 15*n - 6. Let k be u(15). Let a be k/40*(10/105)/1. Which is bigger: b or a?
b
Let b = -12555 + 12793. Suppose -4*y + 9*y - 1185 = 0. Which is smaller: b or y?
y
Suppose 1488 = -116*y - 212*y + 235*y. Let q be ((-4)/(-3))/((-8)/(-12)). Suppose -48 = 2*p - 3*v, q*v + 0 = 8. Are p and y equal?
False
Suppose -3*k - i - 65 = -0*i, i = -2*k - 42. Let p = 24 + k. Let t be 4 + ((-132)/28)/p. Which is bigger: t or 0?
0
Let f be ((-48)/3)/2 + -52 + 17 + 48. Is f >= 393/88?
True
Suppose -2*q = 5*d + 7, q + 28 = -3*d + 23. Let o be ((-3542)/55)/(408/(-19)) + d. Does o = -1?
False
Suppose -3*c + 3*r = 2*c + 1055, -c = 2*r + 211. Let a = -98 - c. Which is greater: a or 112?
a
Let o(n) = -178*n + 416. Let g be o(2). Is 95 < g?
False
Let w(j) = 32*j + 61. Let r be w(-2). Let s be (-18)/(-1816)*(7/r + 3). Is s > 0?
True
Let t(a) = -a**2 + 9*a + 24. Let z be t(-3). Let x be 1 + 8/(-3) - z/18. Which is smaller: x or 0?
x
Suppose 4*a + 4*x - 4200 = 0, -11*a - 26*x + 21*x + 11544 = 0. Is a > 2?
True
Let w = -2 + 3. Let a = -156 + 157. Let u be 12/4*5/(205/a). Which is smaller: u or w?
u
Let v be (14/40)/(6 - (-490)/(-80)). Is -76 < v?
True
Suppose -641 + 31 = -10*r. Let m = -58 + r. Let y = 350 - 1389/4. Which is smaller: m or y?
y
Let a = 9935 + -9927.63. Which is bigger: a or -4?
a
Let l be 39/(-52) - 12 - -10. Which is smaller: -21 or l?
-21
Let o = 8720 - 14170002/1625. Which is greater: o or 1?
1
Let z = 7 + -5. Let l = 3257 + -8968/3. Let x = l + -267. Which is greater: z or x?
z
Let l = 183 - 169. Suppose -940 = l*z - 142. Let w(r) = r**3 + r**2 + 3*r + 3. Let k be w(-4). Does z = k?
True
Let y = -40354.969 + 40376. Let o = 0.031 - y. Let h = 21 + o. Are h and 40 unequal?
True
Let y = -167 - 173. Let d be 6/(-20) - 442/y. Is -2/31 < d?
True
Let k = 1817 - 1536. Which is greater: 277 or k?
k
Let u(f) = -2*f**3 - 4*f**2 + 6*f + 1. Let t be u(-4). Let d = t - 39. Let j be 22/d*(-1)/(-6). Is 3 greater than j?
True
Let w(d) = d**3 + 2*d**2 - 21*d - 116. Let s be w(-7). Which is smaller: s or -1916/9?
s
Suppose -17*k - 624 = 1450. Let x = -125 - k. Is x less than -37?
False
Let f = 1.01 - 0.01. Let s = -68 + 6. Let b = s + 64. Does f = b?
False
Let k be -2 - 11*-17 - 1. Let u be 2 + 60/(-28) - k/(-14). Suppose 10*n = 9*n - u. Which is greater: -11 or n?
-11
Let m = 4.59 - -0.61. Let u = -2757.1 + 2762. Let b = m - u. Is b smaller than -1/31?
False
Let d be (-440)/(-33)*(-81)/12. Is d bigger than 2?
False
Let x(m) = -924*m - 1201. Let s be x(-1). Which is smaller: -279 or s?
-279
Let y = -3/209 - -221/836. Do y and 9.8 have the same value?
False
Let l = 186 - 98. Suppose 3*g + 4*a - 88 = -5, 5*a = -3*g + l. Let s be -2 - (-4 - g/(-12)). Does s = 0.38?
False
Suppose | {
"pile_set_name": "DM Mathematics"
} |
is divided by 83?
18
What is the remainder when 103977 is divided by 34658?
3
What is the remainder when 3941 is divided by 655?
11
What is the remainder when 685066 is divided by 11?
8
What is the remainder when 770 is divided by 420?
350
Calculate the remainder when 399733 is divided by 405.
403
What is the remainder when 4904 is divided by 2445?
14
What is the remainder when 8799 is divided by 100?
99
Calculate the remainder when 70603 is divided by 17647.
15
Calculate the remainder when 99366 is divided by 523.
519
What is the remainder when 794548 is divided by 22?
18
What is the remainder when 2648 is divided by 192?
152
What is the remainder when 5200 is divided by 554?
214
What is the remainder when 10863 is divided by 390?
333
Calculate the remainder when 1707 is divided by 16.
11
Calculate the remainder when 18091 is divided by 2578.
45
Calculate the remainder when 154969 is divided by 201.
199
What is the remainder when 340827 is divided by 35?
32
Calculate the remainder when 1207 is divided by 576.
55
Calculate the remainder when 44706 is divided by 452.
410
What is the remainder when 2724 is divided by 51?
21
Calculate the remainder when 10996 is divided by 785.
6
What is the remainder when 12019 is divided by 1968?
211
What is the remainder when 24026 is divided by 55?
46
What is the remainder when 1425919 is divided by 256?
255
Calculate the remainder when 68044 is divided by 140.
4
What is the remainder when 77763 is divided by 12960?
3
What is the remainder when 17156093 is divided by 73?
71
Calculate the remainder when 6813 is divided by 1156.
1033
Calculate the remainder when 244994 is divided by 92.
90
Calculate the remainder when 573 is divided by 136.
29
Calculate the remainder when 20019 is divided by 4747.
1031
What is the remainder when 23679 is divided by 5903?
67
Calculate the remainder when 332559 is divided by 75.
9
What is the remainder when 7947508 is divided by 285?
283
Calculate the remainder when 2024 is divided by 107.
98
Calculate the remainder when 404 is divided by 126.
26
What is the remainder when 3499 is divided by 3485?
14
What is the remainder when 104863 is divided by 1416?
79
Calculate the remainder when 1448 is divided by 120.
8
Calculate the remainder when 16013 is divided by 895.
798
What is the remainder when 3610 is divided by 173?
150
Calculate the remainder when 47751 is divided by 5948.
167
What is the remainder when 71236 is divided by 50?
36
Calculate the remainder when 6900 is divided by 34.
32
Calculate the remainder when 32346 is divided by 10464.
954
What is the remainder when 910 is divided by 173?
45
What is the remainder when 4086 is divided by 13?
4
What is the remainder when 520698 is divided by 205?
203
Calculate the remainder when 5474 is divided by 276.
230
What is the remainder when 6736 is divided by 177?
10
Calculate the remainder when 14127 is divided by 1558.
105
What is the remainder when 17699 is divided by 317?
264
What is the remainder when 4650 is divided by 1523?
81
What is the remainder when 3117924 is divided by 7?
5
Calculate the remainder when 44317 is divided by 82.
37
Calculate the remainder when 12521 is divided by 255.
26
Calculate the remainder when 15733 is divided by 828.
1
What is the remainder when 110238 is divided by 36741?
15
Calculate the remainder when 132282 is divided by 66139.
4
Calculate the remainder when 23238 is divided by 237.
12
What is the remainder when 384297 is divided by 549?
546
What is the remainder when 4722 is divided by 664?
74
What is the remainder when 1008 is divided by 327?
27
Calculate the remainder when 657 is divided by 298.
61
What is the remainder when 2476596 is divided by 73?
71
What is the remainder when 3261 is divided by 40?
21
What is the remainder when 577444 is divided by 11?
10
What is the remainder when 2676 is divided by 149?
143
Calculate the remainder when 585 is divided by 385.
200
What is the remainder when 44841 is divided by 2802?
9
What is the remainder when 31806 is divided by 10560?
126
Calculate the remainder when 521000 is divided by 65.
25
Calculate the remainder when 7277 is divided by 97.
2
What is the remainder when 57149 is divided by 75?
74
Calculate the remainder when 4595 is divided by 759.
41
What is the remainder when 4750 is divided by 790?
10
Calculate the remainder when 67345 is divided by 4.
1
Calculate the remainder when 51506 is divided by 1198.
1190
What is the remainder when 1005 is divided by 244?
29
Calculate the remainder when 1727 is divided by 267.
125
What is the remainder when 2703 is divided by 20?
3
What is the remainder when 6194 is divided by 281?
12
What is the remainder when 27410 is divided by 340?
210
What is the remainder when 251414 is divided by 62?
4
Calculate the remainder when 161189 is divided by 7675.
14
What is the remainder when 91908 is divided by 70?
68
Calculate the remainder when 9794 is divided by 100.
94
Calculate the remainder when 18805 is divided by 678.
499
Calculate the remainder when 898448 is divided by 27.
23
What is the remainder when 715008 is divided by 42?
0
What is the remainder when 58589 is divided by 87?
38
Calculate the remainder when 15383 is divided by 15140.
243
What is the remainder when 276739 is divided by 317?
315
What is the remainder when 1015575 is divided by 37?
36
Calculate the remainder when 752 is divided by 377.
375
Calculate the remainder when 782 is divided by 344.
94
What is the remainder when 190725 is divided by 228?
117
Calculate the remainder when 5740 is divided by 2809.
122
Calculate the remainder when 2110 is divided by 795.
520
Calculate the remainder when 47342 is divided by 24.
14
Calculate the remainder when 163474 is divided by 38.
36
What is the remainder when 53139 is divided by 984?
3
What is the remainder when 136760 is divided by 17087?
64
What is the remainder when 2822 is divided by 19?
10
What is the remainder when 10013 is divided by 132?
113
Calculate the remainder when 90606 is divided by 302.
6
What is the remainder when 41585 is divided by 94?
37
Calculate the remainder when 15634 is divided by 492.
382
Calculate the remainder when 16819 is divided by 37.
21
What is the remainder when 1199 is divided by 1185?
14
What is the remainder when 1672 is divided by 572?
528
Calculate the remainder when 11888 is divided by 1980.
8
Calculate the remainder when 414833 is divided by 18855.
23
What is the remainder when 148368 is divided by 137?
134
What is the remainder when 47229 is divided by 1888?
29
Calculate the remainder when 9114 is divided by 348.
66
Calculate the remainder when 32599 is divided by 10858.
25
What is the remainder when 2841 is divided by 21?
6
Calculate the remainder when 46673 is divided by 9.
8
Calculate the remainder when 37383 is divided by 18204.
975
Calculate the remainder when 9065 is divided by 24.
17
What is the remainder when 359428 is divided by 131?
95
What is the remainder when 2011 is divided by 281?
44
Calculate the remainder when 4849 is divided by 534.
43
Calculate the remainder when 83900 is divided by 13.
11
Calculate the remainder when 395829 is divided by 32.
21
What is the remainder when 6997 is divided by 1718?
125
Calculate the remainder when 27205 is divided by 147.
10
Calculate the remainder when 17770 is divided by 176.
170
What is the remainder when 85917 is divided by 60?
57
What is the remainder when 3496 is divided by 37?
18
What is the remainder when 59743 is divided by 5427?
46
What is the remainder when 729061 is divided by 59?
57
What is the remainder when 3258 is divided by 191?
11
What is the remainder when 1074 is divided by 6?
0
What is the remainder when 383018 is divided by 483?
482
What is the remainder when 83038 is divided by 1628?
10
Calculate the remainder when 27624 is divided by 9199.
27
What is the remainder when 1068 is divided by 829?
239
Calculate the remainder when 350 is divided by 109.
23
Calculate the remainder when 633 is divided by 273.
87
Calculate the remainder when 28754 is divided by 52.
50
What is the remainder when 975 is divided by 969?
6
What is the remainder when 33032 is divided by 1834?
20
Calculate the remainder when 796 is divided by 39.
16
What is the remainder when 1733 is divided by 354?
317
What is the | {
"pile_set_name": "DM Mathematics"
} |
8*c - 6*q - 4
Find the third derivative of 77*i**4 + 70*i**2 + 16 wrt i.
1848*i
What is the second derivative of i**2*t**3 + 690*i**2*t*y - 132*i*t**3 - i*t*y - 2*i + 2*t**3*y wrt i?
2*t**3 + 1380*t*y
Differentiate 1526*g**3 - 1355.
4578*g**2
Find the second derivative of -o**4 - 180*o**2 + 2271*o wrt o.
-12*o**2 - 360
What is the third derivative of -3*h**5 - 19*h**3 - 2*h**2 + 77*h?
-180*h**2 - 114
Find the second derivative of -440*n**3 - 364*n.
-2640*n
Differentiate 4588*b + 5844 wrt b.
4588
Find the third derivative of 5755*l**3 - 79*l**2 - 29*l wrt l.
34530
Find the third derivative of 6*f**4*k**3 + 216*f**4*k - f**2*k**3 + 38*f**2*k - 101*k**3 wrt f.
144*f*k**3 + 5184*f*k
Find the third derivative of 214*c**5*j**2 + 7*c**3*j**3 + 295*c**2*j**3 - 8*c**2*j + c wrt c.
12840*c**2*j**2 + 42*j**3
What is the first derivative of -202*y**3 + y**2 - 384 wrt y?
-606*y**2 + 2*y
What is the derivative of -1304*d**4 + 1160?
-5216*d**3
Find the second derivative of -2*s**2*y**3 - 2040*s**2*y**2 + 2*s*y**2 + y**3 + 2*y**2 - 541 wrt s.
-4*y**3 - 4080*y**2
Differentiate -2*n**3 + 810*n**2 - 2*n*t**2 - 3982*t**2 with respect to n.
-6*n**2 + 1620*n - 2*t**2
Differentiate n*r**3*s**3 + 3036*n*r**3*s**2 - 5*r**3*s**2 - 3*r*s**3 - 30*r*s wrt n.
r**3*s**3 + 3036*r**3*s**2
Differentiate 756*o + 505 with respect to o.
756
What is the derivative of -420*n*y + 378*n + 2*y wrt y?
-420*n + 2
What is the second derivative of -2031*q**2 + 1485*q + 1?
-4062
Differentiate -t**4 - 2*t**3 + 14*t*u - 18*u - 9 with respect to t.
-4*t**3 - 6*t**2 + 14*u
Differentiate 10937*f*g*o**3 + g*o**3 + 82*g*o + 15*o**3 wrt f.
10937*g*o**3
What is the derivative of 667*g*k**3*p - 2*g*k**2*m*p + 2*k**3*m - 22*k**2*m + 36*k*m*p + 2*k wrt g?
667*k**3*p - 2*k**2*m*p
Find the third derivative of 2*s**5 + 39*s**4 - 116*s**3 + 42*s**2 - 6*s - 1 wrt s.
120*s**2 + 936*s - 696
Find the third derivative of -h**5*j**3 - 55*h**5*j**2 + 47*h**2*j**3 + 13 wrt h.
-60*h**2*j**3 - 3300*h**2*j**2
What is the first derivative of -218*p**4 - 308 wrt p?
-872*p**3
Find the third derivative of -y**4 - 5029*y**3 + 2822*y**2 wrt y.
-24*y - 30174
What is the second derivative of 14821*g**3 - 5915*g wrt g?
88926*g
What is the second derivative of -55*i**2*o**3 - 3*i**2*o + 3*i*o - o**4 + 2*o wrt o?
-330*i**2*o - 12*o**2
What is the second derivative of -5221*o**3*q - o**3 - 4*o*q + 145*o - q wrt o?
-31326*o*q - 6*o
What is the second derivative of 2*l**2*o*t + 151*l**2*o - 24*l*o*t - 13*l*o + 2*l + 2*o*t wrt l?
4*o*t + 302*o
Find the third derivative of 4*o**3*q**3*y - o**3*q*y + 3*o**3 + 2*o**2*q**3*y - 2*o**2*q**2 - 16*q**2 wrt o.
24*q**3*y - 6*q*y + 18
Differentiate o**2*x**2 + 31*o**2 + 9*o*x**2 + 6*o - x wrt x.
2*o**2*x + 18*o*x - 1
Find the third derivative of -2*b*j**2*y**3 - 30*b*j**2*y**2 + 9*b*j**2*y - j**2*y**2 + 2*j**2*y - 933*y**5 wrt y.
-12*b*j**2 - 55980*y**2
Find the second derivative of -5860*v**4 - 7218*v + 1 wrt v.
-70320*v**2
Find the first derivative of 71*h*n*w*z + 7*h*n*w + 4*h*w*z - n*w*z + 3*w*z - 2*w - 10*z - 2 wrt h.
71*n*w*z + 7*n*w + 4*w*z
Differentiate -5*c**2*s**3 - 44*c**2*s**2 - c*s**3 + 195*s**3 wrt c.
-10*c*s**3 - 88*c*s**2 - s**3
Find the first derivative of 67*m**2 - 84.
134*m
What is the derivative of 15*d**3*i*r**3 - 2*d**3*i*r - 125*d**3*r**3 - 2*i*r - 6*r**3 wrt i?
15*d**3*r**3 - 2*d**3*r - 2*r
Find the third derivative of 90*g**3*t - 417*g**2*t wrt g.
540*t
What is the third derivative of 2*d**2*i**3*l**3 + 42*d**2*i**3 + d**2*i**2*l**3 + 2*d**2*i**2 - 81*d*l**3 wrt i?
12*d**2*l**3 + 252*d**2
Find the third derivative of -23136*p**3 - p**2 + 1857*p - 2.
-138816
Find the third derivative of -2*p**5*q + 2*p**4*q - 3*p**3*q*x + p**2*x + 6*p**2 + 3*q wrt p.
-120*p**2*q + 48*p*q - 18*q*x
What is the third derivative of -191*d**2*n**3*o - d**2*n**2 + 6*d**2*n*o wrt n?
-1146*d**2*o
What is the second derivative of 1118*x**2 - 21*x - 10?
2236
What is the second derivative of -208*l**4 - l**3 - 2*l**2 - 58*l + 10 wrt l?
-2496*l**2 - 6*l - 4
Find the second derivative of -2*b*d**2*x**3 - b*d**2 - b*d - 5*d**3*x**3 - 4*d*x**2 + 2*x**3 - 2 wrt d.
-4*b*x**3 - 2*b - 30*d*x**3
What is the second derivative of 78*k**3 + 1341*k wrt k?
468*k
Find the third derivative of -42*o**3 + 39*o**2.
-252
What is the third derivative of 176*d**3 - 687*d**2 wrt d?
1056
Find the third derivative of -177*p**4 - 3*p**2 - 6.
-4248*p
What is the third derivative of -126*n**5 - 226*n**2 + 1?
-7560*n**2
What is the third derivative of -8815*p**6 - 126*p**2 + 49?
-1057800*p**3
Find the first derivative of -66*z**3 - 128 wrt z.
-198*z**2
Find the first derivative of 60*a + 255.
60
Differentiate -797*i*m**2*p**3 + 19*m**2*p + 2*p**3 wrt i.
-797*m**2*p**3
What is the second derivative of -74*r**3 - 7*r**2 + 2*r - 2133 wrt r?
-444*r - 14
What is the first derivative of 23071*a*x**3 - 2043*x**3 + x**2 + 3 wrt a?
23071*x**3
What is the derivative of a**2*d + 2*a**2*z + 183*a*d**3 - 20*a*z - 7*a - d**3*z + 5*z wrt d?
a**2 + 549*a*d**2 - 3*d**2*z
What is the third derivative of 272*w**3 + 59*w**2 + w wrt w?
1632
Find the first derivative of 23*a**4*u - 2*a**3*u - 6*a**2 + 8370*u wrt a.
92*a**3*u - 6*a**2*u - 12*a
Find the second derivative of -31*k**5 + 2*k**4 - 85*k + 4.
-620*k**3 + 24*k**2
Find the first derivative of 15*m*z**2 - 2*m*z - 75*m - 4*z**2 - 99*z + 5 wrt m.
15*z**2 - 2*z - 75
Find the third derivative of -f*s**3 - f + 56*s**3 - 27*s**2 + 1 wrt s.
-6*f + 336
What is the second derivative of 9*n**3*y**2 + 10*n**3*y - 6*n**3 + n*y**3 - n*y - 34*y**2 wrt y?
18*n**3 + 6*n*y - 68
What is the second derivative of 6*b*g**3 + 17*b*g**2 + b*g + 2855*b - g**3 + 5*g**2 wrt g?
36*b*g + 34*b - 6*g + 10
Find the third derivative of -5*c*i*o**3*w + 4*c*i*o**3 + 3*c*i*o**2*w**2 + 2*c*i*o**2 + c*o**3*w**2 - i*o*w - 2*i*w**2 + 3*w wrt o.
-30*c*i*w + 24*c*i + 6*c*w**2
What is the third derivative of 8190*c**6 - 1773*c**2?
982800*c**3
What is the third derivative of -3*a**4*v*z - 4*a**3*v*z - 17*a**3*z - a**2 + 2*a*v*z - 2*a + 153*v wrt a?
-72*a*v*z - 24*v*z - 102*z
Find the second derivative of -133*p**2 + 5*p - 6 wrt p.
-266
What is the second derivative of g**2*n**2*x + g**2*n*x**3 + g**2*n*x**2 - 4*g**2*x**2 + 2*n**3*x**3 - 6*n**3 + n*x**2 wrt n?
2*g**2*x + 12*n*x**3 - 36*n
What is the third derivative of -44*c**2*w**3 - 2*c**2 + w**3 - 182*w**2 wrt w?
-264*c**2 + 6
Find the second derivative of l*s**5 - 165*l*s**2 - 8*l*s - 2*s**5 - 28*s wrt s.
20*l*s**3 - 330*l - 40*s**3
What is the third derivative of 534*c**3 - 625*c**2 wrt c?
3204
Find the third derivative of -377*i**2*w**3 - 2*i**2*w**2 - i + 4*w**2 wrt w.
-2262*i**2
Find the second derivative of -18109*o**2 - 17214*o.
-36218
What is the first derivative of g**3*x - 87*g**2 - 6*g + 5773*x wrt g?
3*g**2*x - 174*g - 6
Find the third derivative of -2*o**3*v**3*w + 12*o**3*w**2 + 2*o**2*v**3*w + o*v**2*w**2 - 2*o*v*w + v**3*w**2 wrt o.
-12*v**3*w + 72*w**2
What is the first derivative of -2*y**3 + 848*y - 765 wrt y?
-6*y**2 + 848
What is the derivative of -535*c*h + h + 2124 wrt c?
-535*h
Differentiate 17*u**4 - 60*u - 2496.
68*u**3 - 60
What is the third derivative of -2*b**3*c**4 + 12*b**3*c - 15*b*c**2 - c**5 + 45*c**3 wrt c?
-48*b**3*c - 60*c**2 + 270
Differentiate -4*a**3*q*v**2 + 104*a**3 + a**2*q + q*v**2 - v**2 wrt q.
-4*a**3*v**2 + a**2 + v**2
What is the third derivative of -3*k**3*y**4 + 176*k**3*y + 45*k**2*y**4 - 2*y**2 wrt y?
-72*k**3*y + 1080*k**2*y
Differentiate 5*b**3*o + 4*b**2*o - 4*b*o - o + 24 wrt b.
15*b**2*o + 8*b*o - 4*o
Differentiate i**2*k**3 - 5*i**2*k*o - 2*i**2*o + 257*i**2 + i*o + 5*k*o wrt k.
3*i**2*k**2 - 5*i**2*o + 5*o
Find the second derivative of 43*k**5 + 87*k**4 + k**2 + 3079*k - 1.
860*k**3 + 1044*k**2 + 2
Differentiate g*t**2 + 9*g*t*z**3 - 6*g*t*z - g*z**3 + 11*t**2 - t*z**2 + 30*z**3 with respect to g.
t**2 + 9*t*z**3 - 6*t*z - z**3
What is the second derivative of -49*x**5*y - 3*x**2*y**3 + 5*x*y + 5*y**3 - 4*y wrt x?
-980*x**3*y - 6*y**3
What is the first derivative of -17*j**3*n - 2*j*n**2 + 3*j*n - 519*n**2 wrt j?
-51*j**2*n - 2*n**2 + 3*n
Find the second derivative of -2*d**3*h**3 + 97*d**3*h - 2*d**2*h - 48*d*h**3 wrt h.
-12*d**3*h - 288*d*h
Find the second derivative of -10*j**3 - j**2 + 202*j.
-60*j - 2
Differenti | {
"pile_set_name": "DM Mathematics"
} |
i = 10 + -17. Let o = -0.4 + 0. Let w = 38 + -188/5. Which is the smallest value? (a) o (b) i (c) w
b
Let g(o) = 5*o + 7 - 3*o**3 + o**3 + 11*o**2 + 3*o**3 - 18*o**2. Let k be g(6). What is the biggest value in -3/5, k, 2/9?
k
Let r = 0.6589 + -0.1589. What is the third biggest value in r, -0.4, -24, -2/3?
-2/3
Suppose 5*i - 18 = i - 2*h, i = 2*h - 8. Let a = -4.36 + 3.9. Let u = -0.44 - a. What is the third biggest value in u, i, -2/9?
-2/9
Let l = -67 + 271/4. Let s(m) = -m**3 + 2*m**2 + 3 - 3. Let w be s(2). Which is the third smallest value? (a) w (b) l (c) 2
c
Let p = -11.62 + 7.62. What is the smallest value in 5, 4/5, p, -1?
p
Let w(g) = -g**2 + 2*g + 3. Let l be w(4). Let t be (-80)/(-18) + (l - -1). Which is the third smallest value? (a) 1/4 (b) t (c) 2/3 (d) 3
c
Let w = 0.1376 - -4.8624. What is the smallest value in w, -17, 0.5?
-17
Let t = 37/6 - 6. Let s = 4 - 19. Let q = s - -21. What is the second smallest value in 2/11, q, t?
2/11
Let w = -0.102 + -0.998. Let p = -0.6 - w. Which is the fourth smallest value? (a) -1 (b) 11 (c) -3/7 (d) p
b
Let q = -58 + 53. Let h = q - -2. Which is the fourth smallest value? (a) -0.4 (b) -1/3 (c) -0.2 (d) h
c
Let x = 138 + -143. What is the second biggest value in x, 0.3, 0.04, -7/5?
0.04
Let f = -0.02825 - 2.97175. Let z = 1 - -3. Which is the third biggest value? (a) f (b) 2 (c) z (d) 2/17
d
Let l be (-89)/(-34)*-50 + -1. Let v(u) = -134*u - 2. Let g be v(-1). Let n = l + g. Which is the third biggest value? (a) n (b) 0.3 (c) -6
c
Let n = -66.3 - -66.5. What is the second smallest value in n, 3, 1/4, -175?
n
Let j = -16 + 16. Let o = j - -0.3. Let l = 0.6 + -0.7. Which is the smallest value? (a) o (b) l (c) 4
b
Let x = -200.2 + 200. What is the fourth biggest value in 4, -0.07, -5, x?
-5
Let q = 2133.5 + -2133. Let p be (2/6)/(4/(-3)). Which is the third smallest value? (a) q (b) p (c) -0.5 (d) 0.11
d
Let h = 0.2 - 0.23. Let r = 4.97 - h. What is the smallest value in 0.1, 4, r?
0.1
Let s = -101/2 + 48. What is the second smallest value in 4, 16, s?
4
Let i = 129 + -1279/10. Let l = 19/10 - i. Which is the smallest value? (a) -0.5 (b) l (c) 3/2
a
Let c = 108/7 + -1160/77. What is the third biggest value in 5, c, -2/13?
-2/13
Let v = -0.01 - 0.29. Let y = 3118 - 3118.1. Which is the second biggest value? (a) y (b) 0 (c) v (d) -5/4
a
Let v = 5 + -5.01. Which is the fourth smallest value? (a) -2 (b) 4 (c) 1.1 (d) v
b
Suppose -3*h - 2*h + 5 = 0, 5*h = -3*b + 17. Let m(s) = s + 1. Let z be m(b). Let f = -4.4 - 1.6. What is the second smallest value in f, 1, z?
1
Suppose 4 = 4*z - 8. Let p be 11 + -10 - z/5. What is the biggest value in -0.2, 1, -2, p?
1
Suppose 0 = -20*w + 10 - 30. Let g = -0.12 - -6.12. Let t = -8 + g. What is the smallest value in 4, t, w?
t
Let w = 0.142 - -2.938. Let t = -57.92 + 58. Let p = w - t. What is the smallest value in 5, p, 1/2?
1/2
Let d = -1019/3 - -356. Let f = d - 17. Let q = -1185.9 + 1186. Which is the biggest value? (a) q (b) f (c) 0
a
Let a = 342.8 - 343. What is the fourth smallest value in -1, 2/7, 1, a?
1
Let q = 18.93 - 18.33. Which is the smallest value? (a) q (b) 6 (c) 0.2
c
Let q be ((0 + 1)/(-1))/(-4 + 8). What is the second biggest value in q, 1/25, 0?
0
Let t = 0.43 + 18.57. Let f = t + -21.1. Let g = 0.9 - f. What is the smallest value in g, -4, 5?
-4
Let t(q) = q**2 + 4*q + 1. Let z be t(-4). Suppose 5*o - h - 61 - 18 = 0, o = h + 19. Which is the fourth biggest value? (a) o (b) -5 (c) 1/7 (d) z
b
Let h be 1/(-4) - 83/4. Let s be ((-2)/h)/((-1)/(-3)). Let r = 3/16 - 37/112. Which is the biggest value? (a) r (b) s (c) 0
b
Let p = 2172 - 2173. What is the third smallest value in 0.02, p, 2?
2
Let u = -25.89 - -26. Let p = -0.51 + u. Which is the biggest value? (a) p (b) 0.5 (c) -9
b
Suppose -4*l = -17*l - 65. Let q be l/15*3*-3. What is the third biggest value in -2/13, -2, q?
-2
Let u = 2.297 - 2.257. What is the smallest value in -100, 0, u?
-100
Let x = -15.8 - -18. Let t = -0.072 + 0.172. Let l = 0.204 + -0.504. What is the smallest value in x, t, l?
l
Let n = 245 - 244.5. What is the smallest value in n, -1, -2/3?
-1
Let t = -135 + 340. What is the third smallest value in t, -4, -0.4?
t
Let x = 12 + -13. Which is the third smallest value? (a) 4 (b) x (c) -0.07
a
Let a = 615 + -658. What is the second smallest value in -0.2, a, -5, 0?
-5
Let j = 0.47 - -0.63. Suppose 0 = 2*c - 3*z - 2*z + 12, 0 = 5*z. Let h be (c/1)/(9/6). What is the biggest value in h, j, 0.3?
j
Let i = 34 - 46. Let x = i - -12. What is the smallest value in x, -5, -1?
-5
Let w be 12/(-10) + (2 - 0). Let x = -89/184 - 3/184. Which is the second smallest value? (a) w (b) x (c) 4 (d) 1
a
Let s be (2/6)/(13/(-39)). Let u = -2.8 + 3.8. Which is the smallest value? (a) u (b) -0.04 (c) s
c
Let x = 2/15 - 52/165. Let v = 0.02 + -0.62. Let m = -4.6 - v. What is the third biggest value in m, 0, x?
m
Suppose 5*y + 26 = 4*b - 5, -4*y = 5*b - 8. Let n be (-12 - -9)*b/6. What is the third smallest value in n, -3/11, 4?
4
Let y = 4145/37 + -112. Let o = -7348415/259 - -28372. Let v = o - y. What is the second biggest value in 0.5, 2, v?
0.5
Let z = -81 + 81.05. Which is the third smallest value? (a) -1 (b) z (c) 0.8
c
Let q = 0.703 - 6.703. Which is the third smallest value? (a) -2/5 (b) 2/7 (c) q
b
Let g(h) = h**3 - 7. Let i = -19 + 22. Let q be g(i). Let o be 1 + 1 + (-35)/q. Which is the smallest value? (a) 0 (b) o (c) 0.1
a
Let n = -9.74 + 9.9. Let m = 13 + -13.24. Let k = n - m. What is the biggest value in k, -5, 6?
6
Let v be (146 + 20)/(0 + 7). Let c = -24 + v. What is the third smallest value in 2, -1/3, c, -2?
c
Let b = 0.8 + -2.8. Let z = 0.28 + 0.02. Let s = z + 0. What is the third biggest value in s, b, 1?
b
Suppose -2*r + 67 = 37. Let t = -18 + r. What is the biggest value in 5, -4, -13, t?
5
Let n = 6 + -11. Let f = -2654 - -2650.934. Let o = 0.066 + f. What is the third smallest value in n, 1, o?
1
Let r = 17.8 + -13. Let n = -2.8 + r. Which is the biggest value? (a) 1 (b) 2/3 (c) n
c
Let z = -5.2 - -0.2. Let t be 23/(-4) - 18/72. Let k be t/15 - 4/(-20). Which is the third smallest value? (a) 1.2 (b) k (c) z
a
Let d = -0.2 + 0. Suppose -y - 35*m + 11 = -31*m, -3*m - 6 = -4*y. What is the second smallest value in d, -2/3, y?
d
Let l = 973/95 + -52/5. What is the third smallest value in l, -0.4, 4?
4
Suppose 4*s + 5*p = 401, 356 = 24*s - 20*s - 4*p. Which is the third smallest value? (a) -0.4 (b) -0.2 (c) s
c
Let o = 0.7 + -1. Let l = -1992 - -1999. Which is the biggest value? (a) l (b) 0.5 (c) o
a
Let r(z) = 2*z + 13. Let i be r(-7). Let k be i/(-4)*(7 + -1). Let v = -0.4 - 0. What is the third biggest value in k, 1/7, v?
v
Let s = 2.92 + 3.08. What is the second smallest value in -1, -3, s?
-1
Let t = 0.2 - 0.5. Let s(j) = -j**2 - 9*j - 3. Let z be s(-8). Suppose 4 + 4 = 4*m + 2*h, z*m - 2*h = 1. Which is the smallest value? (a) 0 (b) m (c) t
c
Let f be (2/(-24))/(6/16). Let m be (1818/(-600) + 3)/((-2)/24). Let v = m - 4/25. Which is the second smallest value? (a) v (b) f (c) 0.5
a
Let j = -0.12 - -0.12. Let l = 7.6 + -8. Let i = 90 - 94. What is the third smallest value in i, l, j?
j
Let f = -8.83 + 8.33. What is the third smallest value in 4, 20/9, -0.4, f?
20/9
Let q = 0.06 - 0. Let f = q + 0.34. Let g = -60.4 - -60.1. What is the smallest value in 0.5, f, g?
g
Suppose 4*d = -3*d + 315. Let y = d + -49. What is the smallest value in y, -2/3, 3?
y
Let i = -1073 - -1106. Which is the third biggest value? (a) i (b) -5 (c) 2 (d) -3
d
Let l = 478 - 477. Which is the third biggest value? (a) -0.09 (b) 0.08 (c) l
a
Let w be 0/((-2 - 2) + 3). Suppose o - 2 + 1 = w. What is the second biggest value in o, -0.05, -0.1?
-0.05
Let b be 1/(((-3)/(-41))/(-3)*1). Let i = 41 + b. What is the biggest value in -1, 4, i, -0.4?
4
Let a = -47 - -56. Let c be (-26)/18 + 12/a. Let d be -2 + (32/(-18))/(-1). What is the third smallest value in d, -2/7, c?
c
Suppose 3*h - i - i - 79 = 0, 0 = -4*h + 2*i + 106. Let u = h - 82/3. Let s = 17/5 + -4. What is the second biggest value in -2/7, s, u?
u
Let d = -32.927 + -0.073. Let h = d + 33.1. Suppose 14 - 2 = -4*k. What is the second biggest va | {
"pile_set_name": "DM Mathematics"
} |
09*t**2 - t as z*t + g*t**2 + y and give g.
76
Express -2*x - 8482*x**2 - 8489*x**2 + 16665*x**2 as t*x + h + n*x**2 and give n.
-306
Rearrange 13 - 2*j**2 - 3*j**3 - 18 + 9 - 3*j**4 to a*j**2 + w + d*j + t*j**4 + y*j**3 and give y.
-3
Express (3 - 1 + 0)*(-p + p + 3*p) - 300 + 182*p + 300 as w + v*p and give v.
188
Express (-15 - 11 + 24 - 232*l)*(-2*l - 2*l**3 + 2*l) + 0*l**4 - 2*l**4 - l**4 as v*l**4 + u*l**3 + r*l**2 + y*l + i and give v.
461
Express 0*f**4 - 140*f**2 + 0*f - 9*f - 3 - f**4 + 143*f**2 as i*f**2 + x*f + m + g*f**4 + h*f**3 and give x.
-9
Express (53*p - 30*p + 21*p)*(-2 + 2 - 2*p) + (2*p - 3*p - p)*(2*p + 0*p - p) + 3*p**2 - 3*p**2 - p**2 as b*p**2 + y + m*p and give b.
-91
Rearrange -4*a**2 + 2*a**4 - 2*a**3 + 0*a**4 + 2*a**4 + 26864 - 26863 + 5*a to the form x + c*a**2 + l*a**4 + p*a**3 + g*a and give g.
5
Rearrange 2*r**3 + 90*r**2 - 48*r**2 - 40*r**2 + 22 to l*r + g*r**2 + c*r**3 + p and give g.
2
Rearrange -40*o + 15*o + 32*o**2 + 25*o to p*o + a + y*o**2 and give y.
32
Rearrange -10*m + 27 + 3*m - 14 - 29 - 12*m to u + s*m and give s.
-19
Express -1 + 1 + 492*l**2 + 594*l - 594*l as c + z*l**2 + n*l and give z.
492
Rearrange 19*l + 9*l**3 - 6*l**3 - 14*l**3 to n*l + r*l**3 + p + x*l**2 and give n.
19
Rearrange -41*y - 563 + 563 + (-2 + 5 - 2)*(0 - y + 0) - 7*y + y + 0*y + (y - 3*y + 4*y)*(-1 - 2 + 1) to the form l + b*y and give b.
-52
Express 1 - 2 - 48*l + 94*l + 5*l**3 + 3*l**4 - 47*l as p*l**3 + q + v*l + u*l**4 + a*l**2 and give u.
3
Express (0*z - 2*z + 3*z)*(3*z - 4*z - z) + 2377*z**2 - 4761*z**2 + 2379*z**2 - 89 in the form n*z + t*z**2 + k and give n.
0
Rearrange -7*w + 6*w - 9*w**3 + 15*w**2 + 0*w**3 - 7*w**3 - 16*w**2 to o*w**2 + q*w**3 + p + r*w and give r.
-1
Express -2013 + 24*c + 2013 + (0 - 1 + 0)*(-5*c - c - 2 + 7*c) as j*c + u and give u.
2
Rearrange 2 + 1 - 61*z + 65*z + 1 to m + u*z and give m.
4
Rearrange (-j + j + 2*j)*(114 - 148 - 210) to l + t*j and give t.
-488
Express 62*u - 186*u - 130*u + 15*u in the form v + j*u and give j.
-239
Rearrange 6*w - 58 + 4*w - 7*w to the form u*w + s and give u.
3
Express (-7 + 7 + 2*n)*(2 - 281*n**2 - 2 - 10*n**2) in the form m*n + x*n**3 + r*n**2 + a and give x.
-582
Rearrange ((0*s + 2*s + 0*s)*(0*s + 0*s + s) + s**2 - s**2 - s**2)*(3*s - 7*s + 2*s) + (28 + 6 + 37)*(-1 + 1 - 2*s**3) to q + y*s + f*s**2 + l*s**3 and give l.
-144
Rearrange 25*b**4 + 22*b**4 + 26*b**4 - 8 + 9*b - 75*b**4 + 19*b to g*b + q + y*b**3 + h*b**2 + j*b**4 and give g.
28
Rearrange -5468*g + 2280*g + 2408*g to o + q*g and give q.
-780
Rearrange p**2 - 51 + 91 - 44 - p to the form a + f*p + m*p**2 and give m.
1
Rearrange -17 + 34 + 66 - 11 + 26 + y to the form i*y + d and give d.
98
Express 15*o + 55*o - 795 + 795 in the form r + i*o and give i.
70
Rearrange (2 - 1 - 2)*(-4 + 2 + 1)*((232*s + 37*s + s)*(1 + 2 + 5) + s - 3 + 3) to the form r*s + g and give r.
2161
Rearrange -6 - 2 - 37*q + 5 + 2 to the form u*q + k and give u.
-37
Rearrange 56*d**2 + 17*d**2 - 3*d**4 - 20823*d**3 + 20824*d**3 to the form s*d**2 + o*d**4 + m*d + r*d**3 + g and give s.
73
Express (-20*y**2 - 2*y - 2 - 4 + 25*y**2)*(-3*y + 0*y + 4*y + 7) as r*y + u*y**3 + b*y**2 + h and give r.
-20
Express (d + 4*d - 3*d)*(30 - 8*d - 30 - 100 + d + 100 + (-3 - 2 + 4)*(-3 + 2*d + 3)) as u*d**2 + g + v*d and give u.
-18
Express 2 - 179*a**3 + 2*a**2 + 182*a**3 - 8*a - 4*a**2 as z*a**3 + g + x*a + i*a**2 and give i.
-2
Rearrange (-3 - r**2 + 3*r**2 + 1)*(147*r**2 + 60*r**2 + 3*r**2) to the form c*r**3 + x*r**4 + b*r**2 + n*r + q and give b.
-420
Express p + 70435 - 70435 - 3*p**3 - p**2 - 2*p**4 in the form j*p**4 + b*p**3 + n*p**2 + c + g*p and give b.
-3
Rearrange -n + 1725*n**2 - 3599*n**2 + 1751*n**2 to y*n**2 + u*n + i and give i.
0
Rearrange 5*j**2 - 2*j**2 - 2*j**2 + 7*j**2 + 7*j**2 + 2*j**2 + (-j + 4*j + 4*j)*(-j - j + 0*j) to the form r + t*j**2 + f*j and give t.
3
Express 102*o**2 - 411*o**2 - 128*o**2 as x*o**2 + j + i*o and give x.
-437
Rearrange (-3*d**3 + d**3 + 4*d**3)*(2 + 0 - 4) + (-61 + 32*d**2 + 61)*(d + 2 + d - d) to o*d**2 + y*d + z*d**3 + f and give z.
28
Express -107*d - 998*d + 20*d as v*d + c and give v.
-1085
Rearrange 1201*f**2 - 639*f**2 + 26*f**2 + (f + 3 - 3)*(-f - 5*f + 4*f) to the form x*f + j*f**2 + i and give j.
586
Express 21*v - 4*v**2 - 4*v**2 + 8*v**2 + v**2 in the form o + h*v + f*v**2 and give h.
21
Express -g**2 + 34*g**4 - 5290 + 5290 + (1 + g + g + 5*g**3 - 6*g**3)*(-3 + 3 - g) in the form w + n*g + j*g**4 + y*g**2 + z*g**3 and give n.
-1
Express -297*j**2 + 200*j**2 - 806*j**2 - 273*j**2 as i*j + l*j**2 + t and give l.
-1176
Express (42*r + 908 + 908 - 1814)*(-1 + 0 + 3) + 33*r + 32*r - 79*r in the form y*r + q and give q.
4
Rearrange (3*c**3 - 5*c**3 - 8*c**3)*(-35 - 42 + 23 - 94) to p + k*c**2 + u*c**3 + q*c and give u.
1480
Rearrange -45*g**2 - 26*g**2 + 10*g**2 - 68*g**2 + 12*g**2 to the form c*g + w + b*g**2 and give b.
-117
Rearrange t + 41 - 9 + 2*t to y*t + q and give y.
3
Express 19*w**2 + 101*w - 4 + 4 + 3*w**3 - 19*w**2 as j*w + s + q*w**3 + l*w**2 and give j.
101
Rearrange (341 + 29 + 36)*(2*n - 2*n - n**4 - n) + (0*n**2 + 0*n**2 + n**3)*(n - n + n) to the form x*n**3 + q*n**2 + g + s*n + u*n**4 and give q.
0
Express (4 + 181*b - 183*b - 5 + 7*b**2)*(-126 + 126 - 19*b) as x*b**3 + c + y*b**2 + p*b and give y.
38
Rearrange (h - 5*h + 2*h)*(-1 - 1 + 1) + 0*h + 2*h - 3*h + (32542 + 193*h - 32542)*(-3 - 2 + 4) to the form y + v*h and give v.
-192
Express -9*x**2 + 77 - 21*x**2 + 28*x**2 as g*x**2 + l*x + r and give l.
0
Rearrange -4*z**2 + 2*z + 7*z**2 + z**3 + 1 + 2*z**3 - 5*z**3 to the form a*z**3 + g*z**2 + p*z + d and give a.
-2
Rearrange -71*y**3 - 2*y**4 - 152*y**2 - 1 - 145*y**2 - 148*y**2 + 441*y**2 to the form o*y**4 + l + g*y**3 + p*y + f*y**2 and give f.
-4
Rearrange 19*b**3 + 2*b - 4 + 0*b**3 + b**3 - 15*b**3 + 5*b**3 to w + a*b**2 + v*b**3 + k*b and give k.
2
Express -4*n**3 + 5*n**3 - 2*n**4 - 257*n**2 + 3*n + 271*n**2 - 7*n as b*n**4 + l*n**3 + y + j*n + r*n**2 and give b.
-2
Express (410 + 67 - 118)*(-5*i**4 + i**4 + 2*i**4) in the form q*i**2 + w*i**4 + o + c*i**3 + g*i and give w.
-718
Express 0 - 1 - 14*z**2 + 15*z**2 - z - 3*z**4 as m*z**2 + c*z**4 + i + a*z + j*z**3 and give m.
1
Rearrange -1 - 8*f**4 + 2*f + 446*f**2 - 218*f**2 - 232*f**2 to t*f**3 + y + m*f**4 + u*f + q*f**2 and give y.
-1
Express -2*r**3 + 1211*r**2 + 1215*r**2 - 2426*r**2 + 575 in the form y*r**3 + j*r**2 + b*r + p and give p.
575
Rearrange -1356*v - 941*v - 2 + 2613*v - 912*v to the form u*v + s and give u.
-596
Rearrange -1 + 3*d**3 + 1 - 12*d**2 + 51*d**4 - 29*d**2 - 53*d**4 + 2*d to the form m*d**2 + y*d + j*d**3 + u*d**4 + l and give y.
2
Express (-58*f + 29*f + 43*f)*(-f + f - f)*(2 - 4 - f - 1) in the form t + j*f**2 + z*f + a*f**3 and give j.
42
Rearrange -21*q**3 - 128 - 4*q**3 - q**3 + 143 - 25*q**2 + 23*q**2 to m*q**2 + h*q**3 + j + a*q and give h.
-26
Express (-1 - 4 + 4)*(3*j - 3*j - 2*j**2) + 4*j - 4*j + 11*j**2 + (0*j - 4*j + 2 + 2*j)*(-4*j + j + 5*j) in the form a*j + g + h*j**2 and give a.
4
Rearrange -2*y**3 + 4*y - 5*y**4 + y**4 + 0*y**4 + 13*y**2 - 5*y to x*y**3 + l + c*y**2 + q*y**4 + n*y and give q.
-4
Express ((-l - 2*l**2 + l)*(-1 + 2 + 0) - 4*l**2 + 4*l**2 - 3*l**2)*(130 + 630 - 83) in the form b + x*l**2 + i*l and give i.
0
Express 76*m**2 + 13*m**4 - 1 - 1 + 0 as q + f*m + o*m**4 + k*m**3 + z*m**2 and give o.
13
Rearrange 13*u**4 - 9*u**3 - u**2 - 2 + 4 - 10*u**4 - 2*u**4 to the form n*u**4 + q*u**2 + r*u + v*u**3 + s and give q.
-1
Express -12*y**2 - 80*y**2 + 10*y**2 - 9*y**2 in the form k*y**2 + t + r*y and give k.
-91
Express 5*s**2 + s**2 - 2*s**2 + 150 - 285 in the form d*s**2 + v + t*s and give v.
-135
Rearrange (3*b**2 - 3*b**2 - 2*b**2)*(6*b - b - 3*b) - 3*b**3 + 70*b - 70*b + (-1 + 4 - b - 1)*(b**2 + b - 2*b + 3*b) to k + y*b**3 + p*b + n*b**2 and give p.
4
Express -n**2 - 3*n**2 - n**2 + (2*n - 2*n + n**2)*(-2 + 1 + 2) + (428 - 731 + 356)*(n - n + 3*n**2) in the form h*n**2 + u*n + c and give h.
155
Rearrange (3 - 1 + 5*u - 3*u)*(2*u**2 - 5*u**2 + 4*u**2) - 8*u**3 - 14*u**3 - 17*u**3 to the form s*u**3 + f*u + n + q*u**2 and give s.
-37
Express (12*t**3 + 2*t**3 + 40*t**3)*(0 + 2*t - 1 - 4) in the form p + z*t**4 + q*t + j*t**2 + v*t**3 and gi | {
"pile_set_name": "DM Mathematics"
} |
en 4318087 is divided by 50?
37
What is the remainder when 59530183 is divided by 47?
30
Calculate the remainder when 2507831 is divided by 35.
11
Calculate the remainder when 79533 is divided by 3678.
2295
Calculate the remainder when 6232693 is divided by 37.
6
Calculate the remainder when 24462010 is divided by 4892398.
20
Calculate the remainder when 1348587 is divided by 2031.
3
What is the remainder when 4097437 is divided by 503?
502
Calculate the remainder when 194671 is divided by 97105.
461
What is the remainder when 91923 is divided by 2418?
39
Calculate the remainder when 1111164 is divided by 370384.
12
What is the remainder when 4208753 is divided by 1052187?
5
What is the remainder when 401680 is divided by 5023?
4863
What is the remainder when 44878 is divided by 1321?
1285
Calculate the remainder when 22935808 is divided by 3822609.
154
What is the remainder when 51257340 is divided by 4096?
4092
Calculate the remainder when 1538021 is divided by 128164.
53
Calculate the remainder when 1093645 is divided by 95.
5
What is the remainder when 50551398 is divided by 100?
98
Calculate the remainder when 44861 is divided by 36978.
7883
Calculate the remainder when 345559 is divided by 1509.
1507
What is the remainder when 5316699 is divided by 1329173?
7
Calculate the remainder when 66172 is divided by 62516.
3656
Calculate the remainder when 182238 is divided by 1648.
958
What is the remainder when 21311076 is divided by 4092?
4032
Calculate the remainder when 51287 is divided by 12464.
1431
What is the remainder when 1308109 is divided by 28352?
3917
Calculate the remainder when 27914652 is divided by 64468.
8
Calculate the remainder when 14172 is divided by 1652.
956
What is the remainder when 1605984 is divided by 124?
60
Calculate the remainder when 195475604 is divided by 10.
4
Calculate the remainder when 467025436 is divided by 4024.
4020
Calculate the remainder when 7794111 is divided by 338874.
9
Calculate the remainder when 18681 is divided by 4290.
1521
What is the remainder when 192294 is divided by 6306?
3114
Calculate the remainder when 296479 is divided by 74118.
7
What is the remainder when 64532054 is divided by 102?
20
What is the remainder when 31244386 is divided by 3?
1
What is the remainder when 106442 is divided by 32202?
9836
What is the remainder when 10239222 is divided by 262541?
123
What is the remainder when 55573 is divided by 715?
518
Calculate the remainder when 3142996 is divided by 168.
52
Calculate the remainder when 23926197 is divided by 462.
141
What is the remainder when 28464077 is divided by 13?
5
Calculate the remainder when 1314534 is divided by 3995.
179
Calculate the remainder when 30161 is divided by 1481.
541
Calculate the remainder when 208710 is divided by 168.
54
What is the remainder when 1181349 is divided by 5707?
0
What is the remainder when 1544248 is divided by 8075?
1923
What is the remainder when 38138 is divided by 11820?
2678
What is the remainder when 4631986 is divided by 46?
16
Calculate the remainder when 2932594 is divided by 239.
64
Calculate the remainder when 318272130 is divided by 24.
18
Calculate the remainder when 1056391 is divided by 1379.
77
What is the remainder when 19481133 is divided by 1384?
1333
What is the remainder when 1437542 is divided by 3917?
3
What is the remainder when 6213892 is divided by 1403?
5
Calculate the remainder when 139645230 is divided by 28.
18
Calculate the remainder when 1957002 is divided by 293.
55
Calculate the remainder when 2834879 is divided by 15.
14
What is the remainder when 640932 is divided by 33733?
5
What is the remainder when 955440 is divided by 955406?
34
What is the remainder when 70202 is divided by 69695?
507
Calculate the remainder when 509215 is divided by 328.
159
What is the remainder when 44510242 is divided by 1943?
1941
What is the remainder when 1185895 is divided by 829?
425
What is the remainder when 36467283 is divided by 483?
300
What is the remainder when 2372154 is divided by 69769?
8
Calculate the remainder when 1570555 is divided by 3272.
3267
What is the remainder when 17799063 is divided by 31?
10
Calculate the remainder when 2723153 is divided by 247551.
92
Calculate the remainder when 261175179 is divided by 1003.
1000
What is the remainder when 1808978 is divided by 432?
194
What is the remainder when 13790353 is divided by 922?
921
Calculate the remainder when 147866 is divided by 32.
26
What is the remainder when 1261236 is divided by 27418?
8
Calculate the remainder when 6316548 is divided by 5.
3
Calculate the remainder when 197205 is divided by 53.
45
Calculate the remainder when 2385316 is divided by 2874.
2770
Calculate the remainder when 1093150 is divided by 364176.
622
Calculate the remainder when 7779978 is divided by 236.
2
Calculate the remainder when 1121568 is divided by 560778.
12
Calculate the remainder when 127736 is divided by 127527.
209
What is the remainder when 31083 is divided by 9614?
2241
What is the remainder when 30908037 is divided by 834?
831
Calculate the remainder when 13699524 is divided by 1957069.
41
What is the remainder when 762877669 is divided by 3079?
3076
What is the remainder when 77041932 is divided by 93?
81
Calculate the remainder when 16633 is divided by 3346.
3249
What is the remainder when 45182 is divided by 3432?
566
What is the remainder when 2816865 is divided by 4255?
55
What is the remainder when 198431 is divided by 451?
442
Calculate the remainder when 766572 is divided by 214.
24
What is the remainder when 4909180 is divided by 16?
12
Calculate the remainder when 43845911 is divided by 5742.
5741
Calculate the remainder when 2977410 is divided by 496234.
6
What is the remainder when 5171 is divided by 42?
5
What is the remainder when 867391 is divided by 3676?
3531
What is the remainder when 1706722 is divided by 2144?
98
Calculate the remainder when 121187022 is divided by 111.
108
Calculate the remainder when 6633658 is divided by 1668.
22
Calculate the remainder when 134974 is divided by 458.
322
What is the remainder when 29820 is divided by 2315?
2040
What is the remainder when 2841155 is divided by 166?
65
What is the remainder when 574779 is divided by 114907?
244
What is the remainder when 11955605 is divided by 1992597?
23
Calculate the remainder when 1136579 is divided by 221.
197
Calculate the remainder when 37573465 is divided by 37573455.
10
Calculate the remainder when 3105113 is divided by 1034921.
350
Calculate the remainder when 4416499 is divided by 500.
499
Calculate the remainder when 40952 is divided by 9655.
2332
Calculate the remainder when 1710392 is divided by 244340.
12
What is the remainder when 126592 is divided by 541?
539
Calculate the remainder when 90905 is divided by 79.
55
What is the remainder when 100558325 is divided by 126?
119
What is the remainder when 5174009 is divided by 1201?
101
What is the remainder when 6705771 is divided by 32395?
6
What is the remainder when 3928935 is divided by 652?
635
Calculate the remainder when 2174923 is divided by 18589.
10
Calculate the remainder when 181579 is divided by 30187.
457
Calculate the remainder when 1667003 is divided by 85.
68
What is the remainder when 1844235 is divided by 23?
3
What is the remainder when 203774325 is divided by 1301?
1297
What is the remainder when 306742 is divided by 135?
22
Calculate the remainder when 13190347 is divided by 84.
79
What is the remainder when 4234738 is divided by 148?
14
What is the remainder when 114446 is divided by 33?
2
Calculate the remainder when 92686 is divided by 14815.
3796
What is the remainder when 826080 is divided by 256?
224
Calculate the remainder when 3013242 is divided by 57.
51
Calculate the remainder when 2752537 is divided by 11867.
11260
What is the remainder when 63505767 is divided by 85?
57
Calculate the remainder when 554211 is divided by 392.
315
What is the remainder when 767364 is divided by 338?
104
What is the remainder when 89514 is divided by 5260?
94
What is the remainder when 1407520 is divided by 234582?
28
Calculate the remainder when 1154281 is divided by 2363.
1137
Calculate the remainder when 89242 is divided by 17240.
3042
Calculate the remainder when 3607979 is | {
"pile_set_name": "DM Mathematics"
} |
the o'th term of 25939, 48955, 71975, 94999, 118027, 141059?
2*o**2 + 23010*o + 2927
What is the b'th term of -5271609, -5271598, -5271587?
11*b - 5271620
What is the f'th term of 8445, 557, -7331?
-7888*f + 16333
What is the r'th term of 55676, 111480, 167284, 223088, 278892, 334696?
55804*r - 128
What is the a'th term of 45222, 180748, 406598, 722766, 1129246?
-a**3 + 45168*a**2 + 29*a + 26
What is the a'th term of 1271696, 1271700, 1271704, 1271708, 1271712?
4*a + 1271692
What is the m'th term of 232726, 232729, 232726, 232717?
-3*m**2 + 12*m + 232717
What is the c'th term of -33079631, -66159260, -99238889, -132318518?
-33079629*c - 2
What is the q'th term of -45889, -67209, -88531, -109855, -131181, -152509, -173839?
-q**2 - 21317*q - 24571
What is the x'th term of -609908, -1219822, -1829732, -2439632, -3049516, -3659378?
x**3 - 4*x**2 - 609909*x + 4
What is the f'th term of 141374, 281770, 422178, 562604, 703054?
f**3 + 140389*f + 984
What is the f'th term of 540829, 1081654, 1622479?
540825*f + 4
What is the t'th term of -102583, -102607, -102647, -102703, -102775, -102863, -102967?
-8*t**2 - 102575
What is the c'th term of 173893222, 173893220, 173893218, 173893216, 173893214, 173893212?
-2*c + 173893224
What is the n'th term of 8943, 18497, 28043, 37581, 47111, 56633, 66147?
-4*n**2 + 9566*n - 619
What is the o'th term of 67509, 539916, 1822157, 4319148, 8435805, 14577044, 23147781?
67486*o**3 + o**2 + 2*o + 20
What is the y'th term of -51903738, -51903737, -51903736, -51903735, -51903734, -51903733?
y - 51903739
What is the p'th term of 40508, 80981, 121460, 161945, 202436, 242933?
3*p**2 + 40464*p + 41
What is the m'th term of 4670839, 4670845, 4670855, 4670869, 4670887?
2*m**2 + 4670837
What is the p'th term of -1559278, -1559261, -1559240, -1559215, -1559186, -1559153?
2*p**2 + 11*p - 1559291
What is the k'th term of -640, -2032, -4202, -7150, -10876, -15380?
-389*k**2 - 225*k - 26
What is the o'th term of -973068, -1946135, -2919200, -3892263, -4865324, -5838383?
o**2 - 973070*o + 1
What is the k'th term of -53043864, -106087732, -159131614, -212175516, -265219444, -318263404, -371307402?
-k**3 - k**2 - 53043858*k - 4
What is the g'th term of 3608, 4003, 4390, 4763, 5116, 5443?
-g**3 + 2*g**2 + 396*g + 3211
What is the z'th term of -1037, -3264, -5457, -7616, -9741, -11832, -13889?
17*z**2 - 2278*z + 1224
What is the a'th term of 4599, 37860, 128131, 303918, 593727, 1026064?
4751*a**3 - a**2 + 7*a - 158
What is the z'th term of 221091, 884332, 1989735, 3537300, 5527027, 7958916?
221081*z**2 - 2*z + 12
What is the s'th term of -19103, -22550, -25997?
-3447*s - 15656
What is the j'th term of -362, -1166, -1992, -2840, -3710?
-11*j**2 - 771*j + 420
What is the z'th term of 19982, 80038, 180134, 320270, 500446, 720662, 980918?
20020*z**2 - 4*z - 34
What is the t'th term of -74589, -77604, -80619, -83634, -86649?
-3015*t - 71574
What is the n'th term of -10934528, -21869055, -32803582, -43738109, -54672636?
-10934527*n - 1
What is the y'th term of -91769, -91812, -91855, -91898, -91941?
-43*y - 91726
What is the k'th term of -1021, -5230, -12625, -23206, -36973, -53926, -74065?
-1593*k**2 + 570*k + 2
What is the b'th term of 2257, 3447, 4607, 5731, 6813?
-b**3 - 9*b**2 + 1224*b + 1043
What is the d'th term of 223573, 446064, 668555, 891046?
222491*d + 1082
What is the x'th term of 483868, 483633, 483398?
-235*x + 484103
What is the o'th term of 14141512, 14141509, 14141506, 14141503, 14141500?
-3*o + 14141515
What is the u'th term of -4207, -14035, -30373, -53185, -82435, -118087, -160105, -208453?
6*u**3 - 3291*u**2 + 3*u - 925
What is the l'th term of -75561, -76217, -76879, -77547, -78221?
-3*l**2 - 647*l - 74911
What is the a'th term of -1620881, -1620854, -1620813, -1620752, -1620665?
a**3 + a**2 + 17*a - 1620900
What is the g'th term of 32, -1411, -3788, -7075, -11248, -16283?
4*g**3 - 491*g**2 + 2*g + 517
What is the h'th term of 608674, 608715, 608784, 608881, 609006, 609159?
14*h**2 - h + 608661
What is the o'th term of 14962, 15270, 15784, 16504, 17430?
103*o**2 - o + 14860
What is the u'th term of -412, -6298, -23332, -57088, -113140, -197062, -314428, -470812?
-929*u**3 + 617*u - 100
What is the l'th term of 15821840, 15821839, 15821838?
-l + 15821841
What is the g'th term of 5244, 5968, 6666, 7332, 7960?
-g**3 - 7*g**2 + 752*g + 4500
What is the i'th term of -4725723, -9451449, -14177175?
-4725726*i + 3
What is the h'th term of 288199, 288158, 288083, 287974, 287831, 287654?
-17*h**2 + 10*h + 288206
What is the h'th term of -2476, -6557, -10650, -14761, -18896?
-h**3 - 4074*h + 1599
What is the k'th term of -784, -1270, -1776, -2308, -2872, -3474, -4120?
-k**3 - 4*k**2 - 467*k - 312
What is the b'th term of 41210, 82561, 123976, 165461, 207022, 248665?
b**3 + 26*b**2 + 41266*b - 83
What is the d'th term of -123, -1588, -5569, -13326, -26119, -45208, -71853, -107314?
-210*d**3 + 2*d**2 - d + 86
What is the d'th term of -1622, -9547, -28356, -62627, -116938?
-763*d**3 - 864*d**2 + 8*d - 3
What is the c'th term of 58051077, 58051083, 58051093, 58051107, 58051125, 58051147?
2*c**2 + 58051075
What is the n'th term of -8970, -17876, -26802, -35754, -44738, -53760?
-n**3 - 4*n**2 - 8887*n - 78
What is the i'th term of 172931, 344943, 516969, 689015, 861087, 1033191, 1205333, 1377519?
i**3 + i**2 + 172002*i + 927
What is the k'th term of 2197, 4136, 6081, 8032, 9989?
3*k**2 + 1930*k + 264
What is the s'th term of 8563, 9492, 12015, 16930, 25035, 37128?
133*s**3 - s**2 + s + 8430
What is the i'th term of -7552, -15683, -23814, -31945, -40076, -48207?
-8131*i + 579
What is the r'th term of -151414, -151503, -151592, -151681, -151770?
-89*r - 151325
What is the c'th term of 58682775, 117365554, 176048333, 234731112, 293413891?
58682779*c - 4
What is the a'th term of -1219, -2488, -3799, -5152, -6547, -7984, -9463?
-21*a**2 - 1206*a + 8
What is the c'th term of 51667, 51643, 51599, 51535, 51451, 51347?
-10*c**2 + 6*c + 51671
What is the t'th term of -4674012, -9348043, -14022080, -18696123, -23370172?
-3*t**2 - 4674022*t + 13
What is the j'th term of 21307, 42858, 64409, 85960, 107511?
21551*j - 244
What is the p'th term of 1900976, 1900952, 1900928, 1900904, 1900880, 1900856?
-24*p + 1901000
What is the j'th term of 2251, 5400, 9451, 14404, 20259?
451*j**2 + 1796*j + 4
What is the l'th term of -4967, -10074, -15187, -20306, -25431, -30562, -35699?
-3*l**2 - 5098*l + 134
What is the z'th term of -236, -915, -2390, -5021, -9168, -15191, -23450, -34305?
-60*z**3 - 38*z**2 - 145*z + 7
What is the c'th term of -2476, -2427, -2334, -2197, -2016?
22*c**2 - 17*c - 2481
What is the r'th term of 12699, 12465, 12123, 11673, 11115, 10449?
-54*r**2 - 72*r + 12825
What is the g'th term of -3553, -3636, -3759, -3922, -4125, -4368, -4651?
-20*g**2 - 23*g - 3510
What is the l'th term of 6401, 12887, 19367, 25841, 32309?
-3*l**2 + 6495*l - 91
What is the u'th term of -2456396, -4912786, -7369164, -9825530?
6*u**2 - 2456408*u + 6
What is the t'th term of -24411512, -48823022, -73234534, -97646048?
-t**2 - 24411507*t - 4
What is the s'th term of 125903, 126344, 126785, 127226, 127667, 128108?
441*s + 125462
What is the r'th term of 3459208, 3459386, 3459554, 3459706, 3459836?
-r**3 + r**2 + 182*r + 3459026
What is the y'th term of -33, 143, 463, 927, 1535, 2287?
72*y**2 - 40*y - 65
What is the a'th term of -101440, -101434, -101428, -101422, -101416, -101410?
6*a - 101446
What is the l'th term of -7278500, -14557010, -21835520, -29114030?
-7278510*l + 10
What is the b'th term of 139164, 278339, 417510, 556677?
-2*b**2 + 139181*b - 15
What is the d'th term of 625, 3943, 9535, 17401, 27541, 39955, 54643?
1137*d**2 - 93*d - 419
What is the g'th term of 82990, 83105, 83314, 83617, 84014?
47*g**2 - 26*g + 82969
What is the q'th term of 444618, 444238, 443858, 443478, 443098?
-380*q + 444998
What is the f'th term of 44201, 44866, 45517, 46154?
-7*f**2 + 686*f + 43522
What is the a'th term of 539, 1978, 4345, 7634, 11839, 16954, 22973, 29890?
-a**3 + 470*a**2 + 36*a + 34
What is the d'th term of -224, -274, -324, -374, -424?
-50*d - 174
What is the p'th term of -3573, -6369, -9169, -11973, -14781, -17593, -20409?
-2*p**2 - 2790*p - 781
What is the w'th | {
"pile_set_name": "DM Mathematics"
} |
5 and 71/(4/(1*-2)).
32
Suppose 4*p = j - 7, 4*j - 5*j = p - 2. Let c = j + -4. What is the common denominator of 63/2 and c/(-2) - 51/20?
20
Suppose -4*g = -2*y + 16, -4*y + 0*g + 12 = -3*g. Suppose 2*z - 8*z + 108 = y. What is the lowest common multiple of 2 and z?
18
Let r(k) = -204*k + 11. Let l(c) = -41*c + 2. Let j(w) = -11*l(w) + 2*r(w). Let y be j(1). Suppose 4*q - y = -3. What is the lowest common multiple of 4 and q?
20
Let o = 289/60 + -37/5. Let u = 7333 - 44125/6. Calculate the common denominator of o and u.
12
Suppose 0*w + w - 4 = -3*i, 5*w + 10 = 0. What is the common denominator of (-46)/(-7) + (0 - i) and 11/6?
42
Suppose -2*w = -a - 21, 2*w - 3 - 3 = -4*a. Calculate the smallest common multiple of w and 18.
18
Let j = -1830 + 3735/2. Let b = 1990 + -21869/11. Find the common denominator of j and b.
22
Suppose 5*f + z - 223 = 0, -7*z + 4*z + 97 = 2*f. What is the least common multiple of f and 36?
396
Let w(b) = -b**2 + 13*b - 27. Calculate the lowest common multiple of w(6) and 9.
45
Find the common denominator of -1*5 + 5152/756 and 43/24.
216
Suppose 2*b - 3*v = 43, -3*b + v + 17 = -51. Suppose -4*j = j + 15. Find the common denominator of 3/20 and (j + 1)*b/(-12).
60
Let w = -753/77 - -73/11. What is the common denominator of w and -101/30?
210
Let k = 20/49 - 514/539. Find the common denominator of k and 36/5.
55
Let y = -137/2 - -67. What is the common denominator of y and -4?
2
Let t(m) = m. Let j be t(3). Suppose -r + j = 1. What is the smallest common multiple of 20 and r?
20
Suppose -30 = -3*h + 18. Calculate the lowest common multiple of 22 and h.
176
Suppose g = 3*g - 2. What is the smallest common multiple of g*-4*(-12 + 8) and 6?
48
Let s = 2/1061 + -51997/4244. Suppose 0*a - 9 = -3*a. Suppose 0 = a*d - 5*f + 56, 32 = -d + 3*f + 2*f. Calculate the common denominator of d and s.
4
Let a(o) = 881*o - 6. Let j be a(-3). Let s = j - -26467/10. What is the common denominator of ((-2)/(-4))/(1/83) and s?
10
Find the common denominator of 55/(-5)*(-4)/8 and 83/2*1 + 0.
2
Let f = -1207/104 - -198/13. Calculate the common denominator of f and -31/58.
232
Let c = 7 + 1. Suppose -67 = -4*m + 5*o - 21, -4*m = 2*o - 60. Let r = 36 - m. Calculate the lowest common multiple of c and r.
88
What is the common denominator of 40/48 - 221/276 and 81/20?
460
Calculate the common denominator of 15/54*(-21)/(-10) and 73/6.
12
Let a = -56 - -64. Calculate the smallest common multiple of 5 and a.
40
Suppose -2*b - 5*d = -2*d + 6170, -5*b + 5*d - 15400 = 0. Let m = b - -33936/11. Let z = m - 821/77. What is the common denominator of z and 29?
7
Let y(z) = -z**2 + 18*z - 2. Let s be y(18). Let b(i) be the third derivative of -7*i**4/24 + i**3/3 - i**2. What is the least common multiple of b(s) and 20?
80
Suppose 2*m - 29 = 19. Suppose m = 4*j - j. Suppose -j = -4*h + 16. Calculate the least common multiple of 20 and h.
60
Let f(o) = -25*o. Let w be f(-1). Suppose 0 = 2*t - 3*k - w, -5*k - 1 = -4*k. Calculate the least common multiple of 6 and t.
66
Let y = 743/7 + -6681/70. Calculate the common denominator of -18 and y.
10
Let d(o) = o + 9 + 0*o - 2*o. What is the least common multiple of d(7) and 16?
16
Suppose 5*s - 11 = -1. Let h be (-42)/(-6) + (-1 - 1). Suppose 0 = h*j - 5*a - 25, -2*a - 3 = 3. What is the lowest common multiple of j and s?
2
Let x(b) = -b + 5. Suppose -2*c = -3*c. Calculate the least common multiple of 7 and x(c).
35
Suppose 2*w - 5*h = 47, -5*w = -9*w + 2*h + 70. Calculate the lowest common multiple of 22 and w.
176
Let t(d) = 15*d**3 - 3*d - d**2 - 2 + 0 + 0 + 5*d. Let j be t(2). Calculate the common denominator of -2 - j*2/(-72) and 67/20.
180
What is the common denominator of -2/3 and 43/(-6) + 5 + -5?
6
Let z(i) be the third derivative of -i**4/8 - 2*i**3/3 + 2*i**2. What is the smallest common multiple of 44/7 - 10/35 and z(-4)?
24
Let k = -47 - -69. Let x(a) be the third derivative of a**4/4 - 7*a**3/3 - 4*a**2. Calculate the smallest common multiple of k and x(4).
110
Suppose -g + 2*d = -2*d + 14, -g + d = -1. Calculate the smallest common multiple of g and 30.
30
Suppose 5 - 93 = -2*s. Let p(o) = -o**3 + 9*o**2 + 10*o + 12. Let b = -12 - -22. Calculate the common denominator of p(b) and s.
1
Suppose -3*s - 4*m = -10, 4*m + 6 = -4*s + 26. Let o(y) = 3*y**2 - 10*y + 5. Calculate the least common multiple of s and o(5).
30
Suppose -2*u = -10, 15 = -3*o - 2*u - 5. What is the least common multiple of 13 and 6/(-15) + (-14)/o?
13
Suppose 4*x + 246 = 4*s + 1022, -776 = 4*s + 4*x. Calculate the common denominator of -7/8 and s/16*(-14 + 10).
8
Suppose 3 = -c + 2*c. Let k be -2 + 2 + -1 + c. Suppose -3*l + 3*j = 0, l - 1 = 2*l - k*j. What is the lowest common multiple of 5 and l?
5
What is the lowest common multiple of 6 and 400/22 - (-6)/(-33)?
18
Find the common denominator of 59/46 and 1/16*(-765)/9.
368
Let m(o) be the second derivative of 4*o**3/3 - o**2/2 - 2*o. Let x be m(1). Suppose x = v - 3. What is the least common multiple of v and 11?
110
Calculate the common denominator of (10/(-20))/((-11)/(-8)) and -61/16.
176
Find the common denominator of -9/14 and (-4)/((-160)/588) - 4.
70
Let h(c) = c**2 - 190. Let f be h(0). Let j = -675/4 - f. Let q = j + -25/2. What is the common denominator of q and -42/5?
20
What is the common denominator of -79/4 and ((-3)/(-2))/((-114)/16)?
76
Suppose -129 = -5*j + 3*k, -5*j + j + 5*k + 111 = 0. Find the common denominator of 29/9 and (32/j)/((-3)/(-14)).
9
Let u = 123 + -119. What is the smallest common multiple of u and 16?
16
Let z = 366/35 + -62/7. Let i be (-2)/1 + 2320/3. Let u = i + -779. Calculate the common denominator of u and z.
15
What is the common denominator of -125/18 and 4124/168 - (-2)/7?
18
Let a = 46 - 43. What is the smallest common multiple of a and 21?
21
Let n = 311/26 - 58/13. Calculate the common denominator of 67/16 and n.
16
Calculate the common denominator of (-2)/3*(-755)/(-40) and 316/(-12)*6/40.
60
Suppose -3 = -3*o + 3. Suppose 0 = k - 8 - o. What is the lowest common multiple of 0 + 1 - (-6)/2 and k?
20
Suppose -2*j - 9 = 11. What is the common denominator of 1532/120 - 4/j and 1/14?
42
Suppose -24 = -q + 2*q. Find the common denominator of (-3)/(-9)*654/q and -25/2.
12
Let z(h) = h**2 - 7*h - 13. Let a be z(9). Let s = 0 + a. Calculate the lowest common multiple of 6 and s.
30
Let g = 30 + -16/3. Let u = -1/545 + 3823/4360. Find the common denominator of u and g.
24
Let i(s) = s + 2. Suppose -3*r - 2 = -14. Let b(g) = 2*g + 3. Let q(f) = r*i(f) - 3*b(f). Calculate the least common multiple of q(-3) and 9.
45
Let z(j) = -j**2 + 12*j + 9. Let r be z(9). What is the common denominator of (-322)/r + (-8)/(-12) and 7/12?
36
Let y be 9 - (1 - (-2 + 2)). Calculate the smallest common multiple of (y/(-10))/(12/(-270)) and 14.
126
What is the common denominator of -2*5/(-270)*714/(-4) and -39/62?
558
Let m = 183/5674 - -6300842/400017. Let g = 65/47 + m. Find the common denominator of g and 93/16.
48
Let v(a) = -4 - 3*a**2 - 2*a**2 + a**2 - 3*a + a**3. Calculate the lowest common multiple of v(5) and 10.
30
Let k = 4 + -2. Suppose -12 = -k*r - 2*q, 4*r = 3*q + 5 + 33. Calculate the lowest common multiple of 16 and r.
16
Let f = 137/9 + -7. Let o = 178478/139 + -1284. Let m = -1956/695 + o. Calculate the common denominator of m and f.
45
Let y be 21/49 - (-1323909)/(-273658). Let g = y - -2/12439. What is the common denominator of g and 97/8?
88
Let z = -1/1143 + 4193/2286. Let j = -270 - -3247/12. Find the common denominator of j and z.
12
Suppose 0 = 2*u + 4 - 10. What is the lowest common multiple of u and 5?
15
Let t be (-1492)/28 + (-2)/(-7). Calculate the common denominator of -53/5 and -4 + 4 - t/(-3).
15
Suppose 3*y - 33 = -3*s - 2*y, 0 = -y + 3. Suppose -s = -t - 2*t. Calculate the common denominator of 27 and t/(-5) + 3/2.
10
Let t(c) = -c**3 + 7*c**2 + 18*c + 24. What is the least common multiple of 4 and t(9)?
24
Let i(a) = 2*a**3 - 2*a**2 - 8*a + 4. Let c = -1 + 3. Suppose -c*f - 3 = -7. What is the least common multiple of f and i(3)?
16
What is the common denominator of 73/36 and 1 + -4 - (1 - (-116)/12)?
36
Let q be 4/10 - 662721/90. Let t = q - -7345. Calculate the common denominator of t and -85/2.
6
Suppose 6*q - 56 = 2*q. | {
"pile_set_name": "DM Mathematics"
} |
places?
0.0000029
Suppose 4*r + 737 = y, 4*y + 163 = -6*r + 5*r. Let c = r - -522. What is c rounded to the nearest 10?
340
Let k(b) = -76489*b - 1276. Let i be k(16). What is i rounded to the nearest one hundred thousand?
-1200000
Let f = 633.999999457 - 634. What is f rounded to 7 dps?
-0.0000005
Let f = -74.039 + 74. Let q = 0.0035 + f. Let s = q - -0.034. Round s to four decimal places.
-0.0015
Let l = -211.45 + 37.35. Let p = l + 164. Round p to the nearest integer.
-10
Suppose -4*z + 7*p + 57 = 0, -p + 39 = 3*z - 5*p. Suppose 0 = -4*n + 1 - z, -5*q - 456999998 = -n. Round q to the nearest 1000000.
-91000000
Let v be 9 + (-8 - (-3)/1) - 269445131. Let a = v - -143245127. What is a rounded to the nearest one million?
-126000000
Let n = -54.677 + 281.447. What is n rounded to the nearest ten?
230
Let n = -278 - -277.99996726. Round n to six dps.
-0.000033
Let i = 914 + 9770. Round i to the nearest 100.
10700
Let p = 1693 + -1693.82. What is p rounded to the nearest integer?
-1
Suppose -87*h + 72*h = 839250. Let x be (h/(-35))/(1/(-35)). What is x rounded to the nearest ten thousand?
-60000
Let t be (108/(-24))/(5/52590). Let p = t + 16931. What is p rounded to the nearest 10000?
-30000
Let c = 0.38 - 0.3799992938. What is c rounded to 7 dps?
0.0000007
Let w = 12.03 + 0.87. Let r = w + 311.1. Let o = 323.9999699 - r. Round o to six dps.
-0.00003
Suppose -294*j + 250*j - 875424000 = 0. What is j rounded to the nearest 100000?
-19900000
Let p = -27.9 - -27.92885. Round p to two dps.
0.03
Let m = -49.2 + -0.8. Let q = 183118.0108 + -183068. Let u = m + q. Round u to three dps.
0.011
Let i = -14.531 + 15.101. Let k = 1205.4522 - 1206. Let n = i + k. Round n to 2 decimal places.
0.02
Let n = -345.19 - -345.18983762. What is n rounded to 5 decimal places?
-0.00016
Let k = -126.255 + 126.255051437. What is k rounded to 5 decimal places?
0.00005
Let l = 2783 - 2783.10736. What is l rounded to two dps?
-0.11
Let c = -87.79 - 0.21. Let n = -88.00424 - c. What is n rounded to 3 decimal places?
-0.004
Let o = -0.3605 + 0.2256. Let y = o - -0.12869. Round y to 3 decimal places.
-0.006
Let u(a) = 9*a - 7*a**2 - 2*a**3 + 2*a**2 + a + 28. Suppose -2*i = -7*i + 2*j + 60, -5*j = -3*i + 17. Let l be u(i). Round l to the nearest one thousand.
-6000
Let p = -0.2406051 - -0.24472. Round p to 3 dps.
0.004
Let a = -41018562.275000257 - -41018561.9. Let p = -62 + 62.375. Let z = p + a. What is z rounded to 7 decimal places?
-0.0000003
Let n = -136879 + -19974. Let p = n + 156852.9810406. Let v = 0.019 + p. Round v to five dps.
0.00004
Let i be ((2 - 0 - 5)*-1)/1. Suppose -8480012 = 4*u + i*b, 5*u - 4*b + 0*b + 10599984 = 0. What is u rounded to the nearest 1000000?
-2000000
Let z = -10740.6543 - -10743. What is z rounded to 0 dps?
2
Let w = -0.43 - -180.43. Let s = -155 - w. Let r = s - -334.729. What is r rounded to 2 decimal places?
-0.27
Let o = -1 + -19. Let y be 7492*(o/8)/(-5). Let m = y + -2346. Round m to the nearest one hundred.
1400
Suppose 4*l - 20 = 8. Suppose -112*x + 18 = 2*q - 115*x, -5*q - 5*x - 30 = 0. Suppose -l*n + 6*n = q. Round n to 5 dps.
0
Let k = -114.67 + 114.67009909. What is k rounded to 6 dps?
0.000099
Suppose -11*y + 15*y = 0. Suppose 0 = -11*f - y*f - 2145000. Round f to the nearest ten thousand.
-200000
Let c = -73 - -171. Let k = 14 + c. What is k rounded to the nearest one hundred?
100
Let b = -0.355 + 0.1632. Let k = -0.107 - b. What is k rounded to 3 dps?
0.085
Suppose -4*z + 5*s - 2*s = 252783979, -4*z - 4*s - 252784028 = 0. What is z rounded to the nearest 1000000?
-63000000
Let p = -11.164 - 1.446. Let c = 12.61797 + p. Round c to 4 decimal places.
0.008
Let r = 666 - 256. Let f = r + -413.74. Round f to 1 dp.
-3.7
Let d be (120/14)/(52/(-2002)). Let f = 221 + d. Round f to the nearest one hundred.
-100
Let y = -0.028065 - -0.028030841. What is y rounded to seven decimal places?
-0.0000342
Let n = -147.85 + 134. Let a = n + 14. Let s = -0.149974 + a. Round s to 6 dps.
0.000026
Let z = 680 + -272. Let h = z + -271. Let x = h + -137.0000162. What is x rounded to six dps?
-0.000016
Suppose -3*z + 20350 = -238313. Suppose 18*b = 21*b - 169563. Let k = b - z. What is k rounded to the nearest 1000?
-30000
Suppose -477275 = -s - 5*n, -2*s - 2*n = -622976 - 331614. Round s to the nearest one hundred thousand.
500000
Let g = 8004 + -8004.015015. What is g rounded to 4 decimal places?
-0.015
Let h = 65 - 66. Let t = h - -0.9701. What is t rounded to 3 decimal places?
-0.03
Let k = 0.04253 - 0.0425302125. What is k rounded to seven decimal places?
-0.0000002
Let a = 39596.154 - 39564. What is a rounded to 1 dp?
32.2
Let t = -45.618448 - -45.63. What is t rounded to 3 decimal places?
0.012
Let q be ((-813)/(-4))/(6/16512). Suppose -4*o = -r + q, 4*o - 2*r = -616903 + 57555. Let d = 319835 + o. What is d rounded to the nearest ten thousand?
180000
Let x = -166928231868.000000562 + 166928231536. Let h = 332 + x. What is h rounded to seven decimal places?
-0.0000006
Let d = -369.9064 - -370. Let w = d + -0.10071. Round w to 3 dps.
-0.007
Let t be 2/(-5) + (-1640)/(-100). Let o(u) = 10565*u - 40. Let d(v) = -84520*v + 320. Let w(m) = 3*d(m) + 25*o(m). Let g be w(t). Round g to the nearest 100000.
200000
Let o = -118.947 - -126.02. Let v = o + -0.073. Let m = v + -6.9999998. What is m rounded to six decimal places?
0
Let a = 0.04 - -6.86. Let y = a + -6.8999994. What is y rounded to six dps?
0.000001
Let u(g) = -83*g - 13. Let l(v) = 41*v + 7. Let n(d) = 14*l(d) + 6*u(d). Suppose -30*i - 980 = 68*i. Let c be n(i). Round c to the nearest one hundred.
-700
Suppose 0 = -2*w - 3*w + 1350. Let u(f) = f**2 - 3*f + 4. Let o be u(0). Let v be (-3)/(-2) - w/o. What is v rounded to the nearest one hundred?
-100
Let u(s) = s. Let y(r) = 2596000*r. Let a(g) = -616000*u(g) - 4*y(g). Let t be a(-1). Suppose -2*c - 3*c = -t. Round c to the nearest one million.
2000000
Let x = 3.26 - 205.26. Let g = x + 202.000174. Round g to 4 dps.
0.0002
Let z be 143*3613 - (6 + 8 + -5). What is z rounded to the nearest 100000?
500000
Let n = -4347.2 + 4735.69. What is n rounded to the nearest 10?
390
Let f = -0.4484 - -0.6152. What is f rounded to two decimal places?
0.17
Let t be (194061 - (0 - -7)) + -4. Round t to the nearest one hundred thousand.
200000
Let k = 23004 + -23004.022178. Round k to 3 dps.
-0.022
Let s(k) = 3066084*k - 1740. Let o(y) = -340676*y + 194. Let b(c) = 28*o(c) + 3*s(c). Let z be b(-13). What is z rounded to the nearest 1000000?
4000000
Let z = -159.7 - 556.3. Let r = -715.9527 - z. What is r rounded to three decimal places?
0.047
Let j = -0.913 + 96.513. Let x = j + -95.600854. Round x to four dps.
-0.0009
Let v = 9 - 7. Suppose 559975 = d - 5*x, 5*x = 5*d - 1364646 - 1435329. Suppose 0 = -v*l - 5*l + d. Round l to the nearest 100000.
100000
Let u = -7758189.999918 + 7758204. Let z = 74.1 - 60.1. Let r = u - z. What is r rounded to five decimal places?
0.00008
Let k = 0.34 - -0.09. Let w = k + -19.43. Let r = w + 19.00000112. What is r rounded to seven decimal places?
0.0000011
Let t = 5.3786 + -0.0686. Let z = -0.51 + t. Let a = 12.1 - z. Round a to the nearest 10.
10
Suppose -5*r = 24*r + 3553933 - 297523. What is r rounded to the nearest ten thousand?
-110000
Let p = -1585.6 - -1602.446. What is p rounded to zero dps?
17
Let m = -631.7823 + 483.78171. Let b = -138.93 - 9.07. Let f = m - b. What is f rounded to four decimal places?
-0.0006
Let l be (-344)/(1212741/(-86625) - -14). What is l rounded to the nearest 100000?
-3300000
Let o = -41 - -64. Suppose o*y - 26*y = -134080356. Let s = 12693452 - y. Round s to the nearest one million.
-32000000
Let j = -12692 + 12692.0000001355. What is j rounded to six dps?
0
Let q = -4.2836 - 0.2278. Round q to the nearest integer.
-5
Let h(a) = 1390551*a + 34. Let p be h(10). Let f = 9504587 - -22000957. Let n = f - p. What is n rounded to the nearest one million?
18000000
Let y(o) = -339 - 7*o - 456*o**3 - 4*o**2 - o**2 + 349. Let f be y(5). Let x = f + -282850. Round x to the nearest one hundred thousand.
-300000
Let q be 8/(1*(-4)/6046) + -4. Let z = q - -7036. What is z rounded to the nearest 1000?
-5000
Suppose -70 = -3*m + 56. Let c be (-12)/28 + 9972/m + 0. What is c rounded to the nearest ten?
| {
"pile_set_name": "DM Mathematics"
} |
sqrt(200) + sqrt(200)))**2).
-174714 + 25920*sqrt(2)
Simplify (-2 + (sqrt(77) - (sqrt(77) - 4*-3*sqrt(77)))/((-4*sqrt(70))/sqrt(10)))**2.
-12*sqrt(11) + 103
Simplify 0 + -3 + (3 + -1*sqrt(1300))**2*6.
-360*sqrt(13) + 7851
Simplify 1 + ((3 + (sqrt(75) - 1*sqrt(75) - sqrt(75)) + -3)**2 - (-3 + -1 + sqrt(75) + sqrt(75) + sqrt(75))**2*-1).
-120*sqrt(3) + 767
Simplify 6*6*(-2 + (sqrt(1584) + 1 + sqrt(1584))**2)*5.
8640*sqrt(11) + 1140300
Simplify (sqrt(2560)*2)/(sqrt(48)/(sqrt(486) - sqrt(6))).
128*sqrt(5)
Simplify (sqrt(1568) + -2*sqrt(1568) - (sqrt(512) + -1*sqrt(512)))**2 + sqrt(100)/(sqrt(2)*1)*-2.
-10*sqrt(2) + 1568
Simplify (-2*1*(-2*(sqrt(1331)*1 - sqrt(1331)) + 2))**2.
16
Simplify (sqrt(117)/(sqrt(729)*2 + sqrt(729)) - (2 + (sqrt(13) - (sqrt(13) - (sqrt(13) + -1))**2) + (-1*sqrt(65))/sqrt(5))) + 3.
sqrt(13)/27 + 2
Simplify 1*(-5 + sqrt(2) + (-5*sqrt(2) - sqrt(2)) + 4 + (-3 + sqrt(2))*-3)**2.
-128*sqrt(2) + 192
Simplify (-1*(1*sqrt(180) - sqrt(180)) - sqrt(180))/(sqrt(24)/(sqrt(486)*-1 - sqrt(486) - sqrt(6))).
57*sqrt(5)
Simplify ((sqrt(3146) + sqrt(3146) + 1*sqrt(3146) - sqrt(3146)) + sqrt(3146))/(sqrt(12)/(sqrt(54)/sqrt(9))).
33*sqrt(13)
Simplify -3 + sqrt(14)/sqrt(2) + sqrt(7) + 4 - (-4*(sqrt(7) + -1 + 1))**2.
-111 + 2*sqrt(7)
Simplify (2 + sqrt(704) + 0 - (-4*sqrt(704) + -1))**2.
240*sqrt(11) + 17609
Simplify (-6*((sqrt(7) - sqrt(252)*-1) + sqrt(63) + sqrt(7) + 1) + -5)**2.
1452*sqrt(7) + 30613
Simplify (5*(sqrt(88) - -5*sqrt(88)) - sqrt(88))/(3*sqrt(8)*-6).
-29*sqrt(11)/18
Simplify 2 + (sqrt(99) - (sqrt(99) + 6*((-1*sqrt(99) - sqrt(99)) + sqrt(99))))/(sqrt(36)*-5) + -1 + 1.
-3*sqrt(11)/5 + 2
Simplify 4*(sqrt(54)/sqrt(3) + 4 - (1*sqrt(2) + -1)*-3).
4 + 24*sqrt(2)
Simplify -2*-2*(sqrt(2057) + (2*sqrt(2057) - sqrt(2057))*-2)**2 + -1.
8227
Simplify 2*((sqrt(51)/(sqrt(300)*2 + sqrt(300) + sqrt(3) + sqrt(3)))**2 + -2*(sqrt(17) - -3*sqrt(51)/sqrt(3))).
-16*sqrt(17) + 17/512
Simplify 0 + (3*(-2 + sqrt(1100) + sqrt(1100) + (sqrt(1100) - (1 + sqrt(1100)))*-4 + -2))**2.
39600
Simplify -4*(1*sqrt(432)*1 - (sqrt(432) + (sqrt(432) - ((sqrt(432) - (1 + sqrt(432))) + sqrt(432)) - sqrt(432)))*4)*6*5.
-1440*sqrt(3) + 480
Simplify -3*3*-1*(-4 + 4*(sqrt(1700) + 2*sqrt(1700))).
-36 + 1080*sqrt(17)
Simplify ((2 + sqrt(175) + 1 - (sqrt(175) + -1)*-3)*3)**2.
25200
Simplify (-4 + 2 + sqrt(396) - 1*(sqrt(704) + 1*sqrt(704)))**2.
40*sqrt(11) + 1104
Simplify (3 + 4*(sqrt(88)*-1)/sqrt(11)*4)**2.
-192*sqrt(2) + 2057
Simplify (sqrt(300) - (-6*sqrt(300)*2 - sqrt(300)))**2*2 - ((-1*sqrt(300) + -2 + sqrt(300))*2)**2.
117584
Simplify (-1*(sqrt(275) + -5 - sqrt(275)) - (-1 + sqrt(704)*4))**2.
-384*sqrt(11) + 11300
Simplify ((sqrt(68) + 6*(sqrt(68) + sqrt(68) + sqrt(68)*3))*-1)/(sqrt(32)/(sqrt(24)/(sqrt(6)/sqrt(2)))).
-31*sqrt(17)
Simplify 6*(-5 + (2 + sqrt(108)*1 - sqrt(108)) + 0)**2 + 0.
54
Simplify (1*sqrt(500))**2*-6 - (-2 + sqrt(5) + -3 + 5).
-3000 - sqrt(5)
Simplify ((sqrt(7488)*1 + sqrt(7488) - sqrt(7488))/(sqrt(144)*-1))**2 - (sqrt(468)*1 - (sqrt(1300)*3 - sqrt(13))).
52 + 23*sqrt(13)
Simplify ((-1*sqrt(108) - sqrt(12))/sqrt(4))**2 + sqrt(24)/(sqrt(8)*-2)*-1.
sqrt(3)/2 + 48
Simplify 3*-4*((sqrt(448) - sqrt(448)*-1)*-2 + (sqrt(448) - ((sqrt(448)*2 + sqrt(448) + sqrt(448))*-1 - sqrt(448))))**2*-1.
21504
Simplify 4*((sqrt(405) - (1*sqrt(405) - sqrt(405)))/sqrt(9))/((sqrt(9)*-3 + sqrt(9))*-3).
2*sqrt(5)/3
Simplify -1*sqrt(242) + 0 + (sqrt(32))**2 + 1 + (sqrt(72)*-2)**2.
-11*sqrt(2) + 321
Simplify -1 + -4*(((sqrt(931) + -2)*3 + sqrt(931))**2 + -2).
-59721 + 1344*sqrt(19)
Simplify (((sqrt(48)/sqrt(2))/sqrt(12)*2 - sqrt(128)*-2)*-2)**2 + 3.
2595
Simplify 0 + (sqrt(832) - -1*sqrt(832))*1*-6.
-96*sqrt(13)
Simplify (2*sqrt(49)*6 - ((sqrt(98)*-2)/sqrt(2) - sqrt(49)))/(sqrt(70)/(sqrt(60)/sqrt(6)*-2)).
-30*sqrt(7)
Simplify ((sqrt(1216) + -1 + -2 - (sqrt(1216) + 1 + -4)) + 2)**2.
4
Simplify (1*5*(1 + (6*(sqrt(1872) - (-1 + sqrt(1872))) - sqrt(1872)) + sqrt(1872)))**2.
1225
Simplify (sqrt(49) + (sqrt(196)/(sqrt(16)/sqrt(4)) - sqrt(49)) + sqrt(245)/(sqrt(5)*1))/(-2*sqrt(21)/sqrt(3)*-6).
sqrt(7)/6
Simplify (5*(sqrt(60) + sqrt(120)/sqrt(2)))/(sqrt(192)*-2) - ((sqrt(245) + (sqrt(245) - (sqrt(245) + -1)) - sqrt(245))*4)**2*-4.
-5*sqrt(5)/4 + 64
Simplify (4*sqrt(1764))/(sqrt(12)*-5*-2).
14*sqrt(3)/5
Simplify sqrt(96)/(sqrt(2)*1) - (2*sqrt(72)/sqrt(6))**2.
-48 + 4*sqrt(3)
Simplify ((1*sqrt(364))/sqrt(7) + sqrt(52) + -5*-1*sqrt(52))/(sqrt(16)/(sqrt(32)/sqrt(72))) + 2.
2 + 7*sqrt(13)/3
Simplify ((sqrt(66) - (1*sqrt(66)*-4 + sqrt(66) + sqrt(66))) + sqrt(66) + sqrt(66) + -1*sqrt(66)*1)/(3*(sqrt(216)*-2 + sqrt(6))).
-4*sqrt(11)/33
Simplify (-1*(sqrt(320) + 0) + -3 + 4)**2.
-16*sqrt(5) + 321
Simplify (2*sqrt(20) + 1)**2 + (sqrt(5) - (((sqrt(5)*-1 + 0 - sqrt(5)) + sqrt(5))**2 + sqrt(5))) + sqrt(5) + 1 + sqrt(5) + 0.
10*sqrt(5) + 77
Simplify (sqrt(4400)*-4 - sqrt(4400) - sqrt(44))/(sqrt(256) + -3*sqrt(256)).
51*sqrt(11)/16
Simplify (3 + 4 + -5 + 2*sqrt(833) + 5 + -5)**2.
56*sqrt(17) + 3336
Simplify (sqrt(320)/(sqrt(8)*-1) + (sqrt(240) + (sqrt(240) - 1*sqrt(240)))/sqrt(6))/((1*sqrt(48) + sqrt(48))/sqrt(6) + 5*sqrt(72)).
0
Simplify ((-2 + -5*sqrt(153))*1*1)**2 + 3.
60*sqrt(17) + 3832
Simplify (((-1*sqrt(572) - sqrt(572))*-4 + sqrt(572) - sqrt(572))/(sqrt(704)*2) + -4)**2.
-8*sqrt(13) + 29
Simplify (4*(sqrt(567)*-2 + -3 + (-2 + sqrt(567) + sqrt(567) + (sqrt(567) - -2*sqrt(567)) - sqrt(567) - sqrt(567)))*6 + 3)**2.
-50544*sqrt(7) + 340281
Simplify ((-3 + (-1 + sqrt(363) + sqrt(363) - sqrt(363) - sqrt(363)))**2 - ((1*sqrt(12))**2 + -5 + sqrt(3) + sqrt(48)))*1.
-5*sqrt(3) + 9
Simplify (-2 + 6*(-4 + 4*sqrt(2057) + 1*sqrt(2057)*-3))**2.
-3432*sqrt(17) + 74728
Simplify 3*1*-1*(-3*(sqrt(832) + 1) + (sqrt(832) - (-3 + -1 + sqrt(832) + sqrt(832)))**2).
-2535 + 264*sqrt(13)
Simplify -4*6*((sqrt(68) - (0 + sqrt(68) + 2))**2 - ((sqrt(68)*-1 + sqrt(68))**2 + 1)).
-72
Simplify (5 + (5 + (sqrt(175) - (2 + sqrt(175))))**2 + sqrt(175) + 2 + sqrt(175) + -2)*5.
70 + 50*sqrt(7)
Simplify (sqrt(297)/(sqrt(81)*-2))/(sqrt(27)/(-1*sqrt(729) - sqrt(729))).
3*sqrt(11)
Simplify (((-2 + sqrt(2299))*-3 + -1*sqrt(2299)*1)*-5)**2.
-13200*sqrt(19) + 920500
Simplify 1 + (1 + -4 + -3 + 2 + sqrt(2057))**2.
-88*sqrt(17) + 2074
Simplify -3 + (sqrt(343) - 2*sqrt(343) - (sqrt(7) + sqrt(567)*-1))**2 + 1.
5
Simplify (sqrt(168)/sqrt(64))/((sqrt(486)*-2 - sqrt(486)) + sqrt(486) - sqrt(6) - sqrt(6)).
-sqrt(7)/80
Simplify sqrt(68)/(-1*sqrt(576)) + (sqrt(34)/sqrt(2)*2)**2*4.
-sqrt(17)/12 + 272
Simplify (4*sqrt(144))/(sqrt(3) + (sqrt(75) - -2*sqrt(75))).
sqrt(3)
Simplify 3 + sqrt(5) + (2*sqrt(5) - sqrt(5)) + -5 - (-3 + -3*-2*sqrt(5)).
-4*sqrt(5) + 1
Simplify ((1*sqrt(7) - sqrt(7)) + -1 + (sqrt(63) + -1 + sqrt(63) - sqrt(7))**2 - (sqrt(14)/sqrt(2)*2 + ((1*sqrt(49) + sqrt(49))/sqrt(7))**2)) + 3.
-12*sqrt(7) + 150
Simplify (sqrt(117) - (sqrt(117) - sqrt(117)*-5*3))/(5*(sqrt(9)*3 - sqrt(9))).
-3*sqrt(13)/2
Simplify (6*(sqrt(100) - 1*sqrt(100) - sqrt(100))/sqrt(5))/(-3*-1*sqrt(250)).
-2*sqrt(2)/5
Simplify -2 + ((sqrt(7)*5 + 2)*-4)**2 + -4 + -2 + sqrt(343).
327*sqrt(7) + 2856
Simplify (-5 + ((sqrt(170) - 2*sqrt(170))*-3 - sqrt(170))/(sqrt(1210)*1))**2 + 1.
-20*sqrt(17)/11 + 3214/121
Simplify ((sqrt(121)*2*-4)/(sqrt(176)*1))**2 - ((-1 + sqrt(275))*5 - (-1 + (sqrt(275)*1 - sqrt(275)) + sqrt(275)))**2.
-4372 + 160*sqrt(11)
Simplify -1 + sqrt(1539) + -2 - 4*(sqrt(1539) + -2).
-27*sqrt(19) + 5
Simplify ((1 + sqrt(242)*1*-3 + 6*(sqrt(242)*-2 - sqrt(242)))*-6)**2.
-16632*sqrt(2) + 3842028
Simplify (sqrt(60)/(-2*sqrt(250) + sqrt(10)))/(sqrt(2)*-1*-4*-4).
sqrt(3)/144
Simplify -3*(-5 + (sqrt(5) - (-2 + sqrt(180)) - sqrt(5)) - (5 + sqrt(10)/sqrt(2) + -5*-1*sqrt(5))).
24 + 36*sqrt(5)
Simplify -5*((5*(sqrt(2448)*-1 - sqrt(2448))*6*-3)**2 + 0).
-396576000
Simplify -1 + (-3 + sqrt(147) + 3*1*sqrt(147))**2 + (2*(1*sqrt(147)*6 - sqrt(147)))**2.
-168*sqrt(3) + 17060
Simplify 1*(4 + 2 + sqrt(70)/sqrt(90) + 3)**2.
6*sqrt(7) + 736/9
Simplify (sqrt(456)/(sqrt(12) + sqrt(108)))/sqrt(2) + (sqrt(931)*1 + -2)**2.
-111*sqrt(19)/4 + 935
Simplify (4*sqrt(153)*-1 + 3*(-1*sqrt(153) + sqrt(153)))/(4*(sqrt(81)*2 - sqrt(81))/sqrt(9)).
-sqrt(17)
Simplify (sqrt(36)/(2*sqrt(294)))/(sqrt(8)*-1 - sqrt(32)*-3).
sqrt(3)/140
Simplify (6*sqrt(1053)*-4 - ((sqrt(104)*1)/sqrt(8) + sqrt(13) | {
"pile_set_name": "DM Mathematics"
} |
333 = -141. Let z be (-53 - -1)*(-4)/4. Suppose 0 = -3*k - 5*q + 81, 5*k = 3*k - 4*q + z. Calculate the greatest common factor of k and h.
16
Let n be (2 - (-10)/(-4))*-132. What is the highest common divisor of 6 and n?
6
Suppose -3*c + 403 = 2*l - 108, -3*c + 512 = l. Calculate the greatest common divisor of 19 and c.
19
Let h be -9*(0 + (-15)/9). Suppose 4*t - 15 = 4*k + 5, -3*k = -4*t + 17. Let x(z) = 69*z - 3. Let v be x(t). Calculate the greatest common divisor of h and v.
15
Suppose 4*f - 24 = 12. What is the greatest common factor of f and 18?
9
Suppose 257 = 3*n + 32. Suppose -9*g + 4*g = -n. What is the greatest common factor of g and 60?
15
Let z(r) = 2*r**2 - 3*r + 1. Let n be z(3). What is the highest common divisor of n and 2?
2
Suppose -5*g + 2*a = -412, 5*g - 16*a + 11*a = 400. Suppose 0 = 5*o + 5*z - 95, 2*o + 2*z = 3*o - 25. Calculate the highest common factor of o and g.
21
Suppose 0*l - 5 = -l. Let z = l + 0. Calculate the greatest common divisor of z and 2.
1
Let c be (-2)/(-2)*-1*21. Let o = c + 30. Suppose 0 = -5*h - 3*y - o + 30, -5*h + 4*y + 42 = 0. Calculate the highest common factor of h and 54.
6
Suppose 0 = 4*x - 0*y + 5*y - 292, -5*x = -4*y - 406. Suppose 13*j - 880 + 204 = 0. Calculate the greatest common divisor of x and j.
26
Let l be 80*(1 + 2/10). Let k(d) = -d**3 - 4*d**2 - 3*d. Let u be k(-4). Calculate the highest common factor of u and l.
12
Let d = 49 - 31. Let o = 14 - 8. Calculate the greatest common factor of d and o.
6
Suppose p = -4*p + 30. Let r = 14 + p. Calculate the greatest common factor of r and 8.
4
Let m(l) = -3*l + 3. Let p be m(-7). Suppose 7*z - 33 = 23. Calculate the highest common factor of p and z.
8
Suppose 544 = -0*z + 5*z - 3*q, 4*z = q + 438. Calculate the greatest common divisor of 22 and z.
22
Let d be 1 + 3 + 4 + 24. Calculate the greatest common divisor of 16 and d.
16
Let b(y) = y**2 - 6*y + 1. Let n be b(6). Suppose 0 = 3*l + 14 - 20. What is the greatest common factor of n and l?
1
Suppose -5*h + 1140 = -h. Let f(b) = 53*b**2 - 2*b + 5. Let g be f(4). Suppose 5*q + h = g. What is the greatest common factor of 14 and q?
14
Suppose a - 522 = -3*j - 178, -1704 = -5*a + j. What is the highest common factor of 31 and a?
31
Let g be -2 - (-3)/(6/8). Let u(r) = 1 + 8*r**2 - 5 + 1 + 4 + r**3. Let d be u(-8). Calculate the highest common divisor of d and g.
1
Suppose u = -u + 30. Suppose 3*n - 63 - 36 = 0. Let z = u + n. What is the highest common divisor of 6 and z?
6
Let p(v) = -v**3 + 7*v**2 + v - 5. Let k be p(7). Let h(c) = 3*c - k*c**2 + 3*c + 4*c**2 - 5. Let l be h(-5). What is the greatest common divisor of l and 3?
3
Let t(d) be the second derivative of 7*d**4/6 - 2*d**3/3 + 3*d**2/2 - 3*d. Let b = -5 - -7. Let z be t(b). Calculate the highest common factor of 17 and z.
17
Let m(u) = -u**3 + 4*u**2 + u + 5. Let o be m(4). Let p be ((-11)/1)/(o/(-144)). Calculate the greatest common divisor of p and 22.
22
Suppose -3*s + 3*q = 7*q - 33, -2 = s - 3*q. What is the greatest common factor of s and 56?
7
Suppose 0 = -2*m - 2*m. Suppose s + 16 + 29 = m. Let t = s - -66. Calculate the greatest common factor of 14 and t.
7
Let p(a) = -8*a + 2. Suppose 3*y = 4*y + 3. Let w be p(y). What is the highest common factor of 39 and w?
13
Suppose -3*a + 1 + 2 = r, -4*r = -5*a - 97. Let v be 12*((-18)/(-8))/3. What is the greatest common factor of r and v?
9
Let k be ((-3)/(-1))/(-3) + -5. Let f = 12 + k. What is the greatest common factor of f and 60?
6
Suppose 5*q - 3*n = -5*n - 56, -5*q - 44 = -2*n. Let i = q + 16. Calculate the greatest common factor of 3 and i.
3
Let f(k) = 11*k**2 - 1. Let w be f(-1). Calculate the highest common factor of w and 50.
10
Let t = -159 + 94. Let d = t - -281. Suppose 0*j + 3*j = d. What is the greatest common divisor of j and 9?
9
Suppose -2*v + 39 = -81. What is the highest common factor of 48 and v?
12
Let h(c) = c**3 + c**2 + 11. Let o be h(0). Let x be 2/(-2)*1 - -45. Calculate the highest common factor of x and o.
11
Suppose 42*p - 40*p - 20 = 0. Calculate the greatest common divisor of 10 and p.
10
Let i(x) = -x + 7. Let v be (-3 - 0) + 3 - -4. Let q be i(v). Calculate the greatest common factor of 6 and q.
3
Suppose 3*a - 2*a - 49 = 0. Calculate the greatest common factor of 7 and a.
7
Let j = 0 + 1. Let m be j/(2 + (-117)/60). What is the greatest common factor of m and 5?
5
Suppose 0 = o - 5*v - 10, v + 4 - 3 = 0. Calculate the greatest common divisor of 5 and o.
5
Let c = 2 + -5. Let l be 84/10 + c/(-5). Calculate the highest common divisor of 99 and l.
9
Let c be 2/(-6) - 273/(-9). Suppose -2*f - 4*f = -270. What is the greatest common factor of c and f?
15
Let p(c) = -c**2 + 4*c - 1. Let l be p(1). Let g be (l/3)/(1/36). What is the highest common divisor of g and 8?
8
Suppose 0*u + 4*u + 60 = 0. Let b be (-384)/u + 4/10. Calculate the greatest common divisor of b and 65.
13
Let s = -26 - -41. What is the highest common factor of s and 135?
15
Suppose -u + 9 = y, 7*y - 2*y + u - 65 = 0. Calculate the greatest common factor of 2 and y.
2
Let z be (52/8)/(1/14). What is the greatest common factor of 13 and z?
13
Let l(t) = -2*t - 9. Let k be l(-7). Suppose -2*c = -k*c + 15. Let f = -80 - -120. What is the greatest common divisor of f and c?
5
Suppose -80 = -5*o + 5*d, -o - d - 8 = 4*d. Let b(w) = w**2 + 2*w + 4. Let i be b(-3). Let y = 115 - i. Calculate the greatest common divisor of y and o.
12
Let s = -17 + 25. Let f(n) = -n + 17. Let g be f(s). Calculate the greatest common divisor of g and 99.
9
Let j(d) be the second derivative of 5*d**3/2 - d**2/2 - 3*d. Let y be j(7). What is the highest common divisor of 13 and y?
13
Let k be (-4)/22 + 606/66. Suppose 3*t = 109 + 26. Calculate the greatest common factor of t and k.
9
Suppose -a - 23 = -94. Suppose -4*i + a = -0*i - m, 0 = 3*i + m - 55. Calculate the highest common divisor of i and 6.
6
Suppose -p - p - 2*k + 34 = 0, 2*p = -3*k + 29. What is the highest common factor of 66 and p?
22
Suppose 5 + 11 = -4*c. Let l = 8 + c. Let n be (l/(-2))/((-4)/30). Calculate the greatest common divisor of n and 165.
15
Let z = 71 - -39. Let d = -22 - -32. What is the highest common divisor of z and d?
10
Suppose 3 = -2*q + 3*q. Suppose q = -u, 3*u + 321 = 3*f + 4*u. Suppose 2*z - 14 = -2*c, 4*z = 5*c + 90 - 17. What is the highest common divisor of z and f?
12
Let w be (-8)/(-12) - 11318/3. Let c be w/(-28) + (-4)/(-14). Let s = 243 - c. Calculate the highest common factor of 12 and s.
12
Let r(f) be the second derivative of -3/2*f**2 + 0 - 17/3*f**3 + 2*f. Let s be r(-3). Calculate the highest common divisor of s and 9.
9
Suppose -u + 3*u = 3*m - 25, -2*m + 19 = u. What is the greatest common divisor of 9 and m?
9
Let y = 135 - 83. What is the greatest common divisor of 104 and y?
52
Suppose 2*h + 0*z = -2*z + 220, 3*h - 3*z - 330 = 0. Let q(u) = u**3 + 10*u**2 - 13*u - 12. Let v be q(-11). Calculate the highest common factor of v and h.
10
Let d(k) = k**2 + 2*k + 2. Let u be d(-3). Suppose p + 2*y + 6 = -2*y, -3*p + y = -8. What is the highest common factor of u and p?
1
Suppose 7*l = 3*l + 104. What is the greatest common divisor of l and 65?
13
Let v(m) = -m**3 - 4*m**2 + m + 1. Let s be v(-4). Let k be 12/(s + (-69)/(-22)). Calculate the greatest common factor of k and 11.
11
Let c = -29 - -77. What is the highest common factor of 32 and c?
16
Let y(m) = m**3 + m**2 - 3*m - 2. Let o be y(-2). Suppose o = -5*a + 2*a + 12. Calculate the highest common divisor of a and 36.
4
Suppose -2*i = -s - 74, 0*s - 2*i + 278 = -4*s. Let j be s/(-6) - 18/(-27). What is the highest common divisor of 84 and j?
12
Let g(w) = -4*w**2 + 7*w + 9. Let r(v) = 3*v**2 - 6*v - 8. Let s(a) = -6*g(a) - 7*r(a). Let t be s(2). Calculate the greatest common divisor of 2 and t.
2
Suppose -4*o - 2 = -6*o. What is the highest common divisor of 1 and o?
1
Suppose 5*d + 3*j = 189, 5*j - 4*j - 39 = -d. Calculate the highest common factor of d and 24.
12
Let z be (-1)/(-1) - (1 - 18). Let c(j) = 3*j**3 - 4*j**2 - 2*j + 1. Let a be c(-2). Let i be 72/10*a/(-2). What is the greatest common factor of z and i?
18
Suppose -3 = 3*z, 0 = -x + 2*x + 5*z - 118. What is the greatest common divisor of 82 and x?
41
Let w(m) = -m**3 - 11*m**2 + 11 | {
"pile_set_name": "DM Mathematics"
} |
26 + 9 = 0. Suppose 5*m = -a*y + 145, 10 - 63 = -2*y + 3*m. Calculate the smallest common multiple of y and 16.
112
Let l = 55 + -49. Let b = -2134 - -29853/14. What is the common denominator of b and 3 + ((-161)/(-210) - l/10)?
42
Let r(t) = 23*t - 18*t - 17*t - 13*t**2 + 12 - t**3. Let f be r(-12). Calculate the common denominator of 56/9 and -3 - f/14*-3.
63
Suppose -2*z = -4*a + 4, a = -4*z + 2 - 10. Find the common denominator of -61/8 and 1/z*(-400)/116.
232
Let o = -147 + 102. Let y = o - -53. Calculate the least common multiple of 14 and y.
56
Let u(a) = -a**2 - 12*a - 12. Let r be u(-10). Let f(s) = s**2 - 5*s - 9. Calculate the lowest common multiple of f(r) and 3.
15
Let r(z) = -z**2 + 7*z + 12. Let a(t) = 2*t**2 - 8*t - 2. Let u be a(5). Calculate the least common multiple of r(u) and 18.
36
Suppose -63 = 3*o + k, o - 6*k + k = -37. What is the common denominator of -139/6 and o/(-4)*(-6)/21?
42
Suppose 12*i - 27 = 45. Let q = -1/759 + -17447/7590. What is the common denominator of 1 + -3 + i + 38/20 and q?
10
Suppose -9*u = -8*u + 32. Find the common denominator of 92/15 and (4/u)/((-3)/(-30)).
60
Let b = -206 + 919/4. Find the common denominator of -89/1502 and b.
3004
Suppose 1 - 19 = -k + 4*z, -5*z = 5. What is the smallest common multiple of k and 14?
14
Let p = 1050 + -207901/198. Let b = -1589/990 - p. Let n = -2107/2 - -1074. What is the common denominator of b and n?
10
Let f = 35 - 92. Let u = f + 39. What is the common denominator of 69/22 and (-4)/u - 6797/1386?
22
Calculate the common denominator of -73/21 and (2/22)/((-483)/(-1357)).
231
Suppose 2*m = -4*b + 14, 0 = m + 5*b - 2 - 17. What is the least common multiple of (10/(-25)*-25 - -20)*2/5 and 1 + -5*m*3?
48
Let i be (3/(-1))/(9/114). Calculate the smallest common multiple of i/(-9) - 2/9 and 3.
12
Suppose -5*k + 0 + 20 = 0. Suppose 0 = -4*u + 3*u - 0*u. Suppose -k*g - 20 = u, -2*d = -5*g - 0*g - 69. Calculate the common denominator of d and 77/12.
12
Let h be (-3510887103)/4629834 - 2/11. Let w = h - 1/23383. Let v = 745 + w. Calculate the common denominator of -95/18 and v.
18
Let x = 4298433/239 - 17985. Let n = 153683/815 - 75009137/389570. Let y = x + n. Find the common denominator of -31/4 and y.
20
Let p(x) = 891*x**2 - 12*x - 14. Calculate the lowest common multiple of p(-1) and 3.
2667
Suppose 0 = -h - 2 + 7. Calculate the common denominator of (-1390)/(-200) - (-16)/20 and (14/6)/(h + -2).
36
Let l = 2083/546 - -5/273. Suppose -9028 = 4*k + 2*f - 4*f, -3*k + f = 6769. Let x = -11223/5 - k. Find the common denominator of x and l.
30
Let b(j) = 10*j**2 + 1. Let o be b(1). Let t = 19 - o. Let r(z) = 3*z - 6. What is the least common multiple of 22 and r(t)?
198
Let g(f) = f**2 - 8*f + 5. Let d be g(8). Suppose d*h + 2 = h - 5*i, -i = -5*h + 12. Calculate the common denominator of 81/2 and (-141)/(-15) + h/2.
10
Let b(f) = 10*f - 26. Calculate the least common multiple of b(7) and 18.
396
Let q be 144740/6*(-18)/264. Suppose 652 = k - 4*f - 996, 3*f - 6573 = -4*k. Let b = k + q. What is the common denominator of b and 37/2?
22
What is the smallest common multiple of 142 and (-2 - -9)*(-468)/(-364)?
1278
Let k be ((-6)/5)/((-2)/15). Let r = 5 - k. What is the lowest common multiple of r - (-7 - (0 + 2)) and 8?
40
What is the least common multiple of (17 + -6)*(-2 - (-4 - 5)) and 9?
693
Let f be ((-458)/4)/(12/(-144)). Let h = f + -6918/5. Calculate the common denominator of h and 1/24.
120
Suppose 0*q + 2*q - 8 = 0, 3*t - 20084 = 4*q. Let l = 38/362447 - 53415627461/7973834. Let r = t + l. Find the common denominator of 103/22 and r.
22
Suppose -3*g + 3*f = 42, 5*g + 0*f - 2*f = -82. Let k = 29 + g. What is the least common multiple of 2 and k?
22
Calculate the smallest common multiple of 25 and ((-12)/(-18) + 428/(-12))/(-1).
175
Calculate the least common multiple of 66 and (-114 - -92)*(-1)/2.
66
Suppose u = 3*u - 896. Calculate the common denominator of -59/12 and 7/(u/(-18))*18.
48
Let r = 103921/10 - 10404. Let f = 1648 + -23055/14. Calculate the common denominator of r and f.
70
Suppose -2*c = 2*p - 48, -80 = -4*p + p - 5*c. Suppose 5*a - 9 + 32 = 3*l, -5*l = 2*a + 3. Find the common denominator of ((-28)/(-50))/(a/p) and -27/19.
95
Let s(p) be the third derivative of -p**4/24 + 17*p**3/6 + 9*p**2. What is the lowest common multiple of s(14) and 6?
6
Suppose -4*w - 4*o = -4, 3*o - 8*o = 4*w - 8. Find the common denominator of -15/64 and 1/w + 1059/(-90).
320
Let q be (-23)/(3 - (-935)/(-310)). Let l = q + -14209/10. Calculate the common denominator of l and -18/7.
70
Calculate the least common multiple of 102 and 57/3 - (8 - 3).
714
What is the common denominator of 101/4 and 7*2/63 + 31/(-36)?
36
What is the common denominator of 31/112 and (2/(-4))/(-3 + 111/33)?
112
Suppose 0*d - 12 = -d. Let h be (d/(-18))/(2/6). Let c = 9 - h. Calculate the smallest common multiple of c and 4.
44
Let t = -4/145809 + 11811689/42284610. Find the common denominator of t and 43/203.
2030
Let i = -184 + 236. What is the lowest common multiple of 4 and i?
52
Let a = 11908 - 214435/18. What is the common denominator of a and 155/126?
126
Let t = 1/12529 + 1165121/952204. Let r = t - -10/19. Let f = -29/20 - -659/20. What is the common denominator of f and r?
4
What is the common denominator of (-14)/320 + 8/(-10) and -119/12?
96
Suppose -4*w - 258 = -62. Calculate the common denominator of -93/14 and w.
14
Let k(l) = -l**3 + 7*l**2 - l - 5. What is the smallest common multiple of 45 and k(6)?
225
Let d(g) = g**3 + 5*g**2 - 8*g + 2. Let k be (-4)/12 - 61/(-3). Let s = -14 + k. What is the smallest common multiple of s and d(-6)?
42
Suppose 3*n - 2*n - o = 22, -3*o - 15 = 0. Suppose 5*a - n = -d + 24, 4*d + 20 = 3*a. What is the smallest common multiple of a and 2?
8
Let d(y) = -y**3 - 22*y**2 - 11*y + 5. Let j be d(-10). What is the common denominator of 3/6 + j/84 and -71/28?
84
Suppose 71 = 4*a + 4*m - 101, -a - 5*m = -35. What is the smallest common multiple of a and 18?
90
Let b = -34 - -16. Let z be (2/2)/((-3)/b). Suppose -22 = -z*w + 5*w. Calculate the lowest common multiple of w and 20.
220
Let i(j) = -8 + 4*j - 3*j**2 + 3*j**2 + j**2 + 5*j. Calculate the smallest common multiple of i(-11) and 38.
266
Let o be 78/(-21) - (-8)/(-28). Find the common denominator of 483/(-60) + (-1)/o and -64/9.
45
Let m be ((-40)/(-7))/((-8)/(-28)). Suppose -5*o + 3*c - 162 = 0, -m - 47 = 2*o + c. Find the common denominator of 3/7 and ((-3)/o)/((-2)/(-10)).
77
Suppose -159 = 23*n - 28*n + t, -3*t = 5*n - 163. What is the smallest common multiple of 104 and n?
416
Suppose 2*l - 35 - 53 = 0. What is the least common multiple of l and 24?
264
Let a = -296497/80542 - 2/3661. Calculate the common denominator of -83/2104 and a.
23144
Calculate the common denominator of -36/5 and (-180)/(-14)*(8 + 3)/44.
70
Let u = -13152255/1024 - -12844. Let a be (-44545)/(-1024) + (-2)/1. Let r = a - u. Calculate the common denominator of r and -67/28.
28
Let o(d) = d**2 - 14*d + 7. Let l be o(15). Let w = l + 0. Calculate the smallest common multiple of 4 and w.
44
Suppose 0 = n + f - 19, 8*n - 7*n = 2*f + 28. What is the smallest common multiple of 80 and n?
880
What is the least common multiple of (240/(-28))/(144/(-756)) and 234?
1170
Let u be (602/10)/(1/((-8780)/(-64))). Let c = -8256 + u. Find the common denominator of 121/20 and c.
80
Suppose 0 = -4*x - 5*l + 6, 2*x + 4*l + 2 = -l. What is the lowest common multiple of x and 32?
32
Let p be (16/10)/(6/15). Suppose s - 9 = 3*t, 72 - 15 = p*s - 5*t. What is the common denominator of -87/10 and ((-185)/15)/((-40)/s)?
20
Suppose c = -3*d + 21, -2*c + 98 = 2*c - 2*d. Suppose -4*k - 4 = -c. Let x = 15 - 9. What is the smallest common multiple of k and x?
30
Let z = 277041/52270 - 1/5227. Let q = 1806 - 8972/5. Find the common denominator of q and z.
10
What is the least common multiple of ((35/21)/5)/((-6)/(-1998)) and 3?
111
Suppose 46 = 5*o + 2846. Find the common denominator of 37/50 and (-5166)/o*4/15.
50
Let p = -778 - -782. Calculate the smallest common multiple of 3/(-1)*(-16)/2 and p.
24
Let c = -7577 - -60541/8. What is the common denominator of 41/1972 and c?
3944
Find the common denominator of (-3)/(-21) + (-222)/(-308) and ((-51)/(- | {
"pile_set_name": "DM Mathematics"
} |
ne 17*p(w) - 6*u(w).
-2*w**3 + w**2 - 2
Let c(b) = -5*b**2 + 4. Let l(w) = -78*w**2 - 5 + w + 40*w**2 + 44*w**2. Determine -3*c(p) - 2*l(p).
3*p**2 - 2*p - 2
Let m be 8 + (-2 - -1) - 1. Let z(g) = -2 - 2 + g**2 + 8 - 6*g. Let a be z(m). Let h(d) = -3*d + 2. Let k(v) = v. What is a*k(l) + h(l)?
l + 2
Let x(j) = -2*j - 6. Let k(d) = d**2 - 5*d. Let s be k(4). Let w be (-28)/(s*1) + -3. Let z(g) = 1 + 2*g + 0 + 4. Determine w*z(t) + 3*x(t).
2*t + 2
Let p(s) = s**3 + s**2 - s + 1. Let u(a) = 2*a**3 + 4*a**2 - 4*a + 4. Let j(x) = -x**2 - 12*x - 4. Let w be j(-12). Calculate w*p(m) + u(m).
-2*m**3
Let z(p) be the first derivative of -p**3/3 + p**2/2 + p - 34. Let a(q) = 4*q**2 - 1. Give a(n) + 2*z(n).
2*n**2 + 2*n + 1
Let q(w) = w**3 + 5*w**2 + 3*w. Let k be q(-4). Let p(f) = -f + k*f - 7*f**2 + 5 + 2*f. Let y(c) = -3*c**2 + 2*c + 2. Calculate 2*p(x) - 5*y(x).
x**2
Let f(t) = -9*t + 3. Let m(y) = 5*y - 2. Suppose v + 23 = -5*i + 2*i, 16 = -2*i - v. What is i*m(b) - 4*f(b)?
b + 2
Let k = 11 - 6. Let w(q) = -5 + 4 + 1 - 4*q. Let u(m) = m. Give k*u(y) + w(y).
y
Let u(y) = 5*y**2 + 2*y - 6. Let k(a) = -10*a**2 - 4*a + 11. What is 6*k(z) + 11*u(z)?
-5*z**2 - 2*z
Let h(z) = z**2 - 5. Let c(p) be the first derivative of -1/3*p**3 + 6*p - 5 + 0*p**2. Let o = 5 + -9. Give o*c(v) - 5*h(v).
-v**2 + 1
Let v(r) = -r - 1. Let f(u) = u**2 + 0*u**2 + 11*u + 0*u**2 - 8*u + 7. Determine -f(x) - 3*v(x).
-x**2 - 4
Let f(o) = 5*o**3 - o**2 + 4. Let k(p) = -p**3 - p**2 + 1. What is f(l) - 2*k(l)?
7*l**3 + l**2 + 2
Let r(a) = 41*a**2 + 31*a + 26. Let q(f) = 8*f**2 + 6*f + 5. Let c(t) = -11*q(t) + 2*r(t). Let s(o) = 5*o**2 + 3*o + 3. What is -3*c(b) - 4*s(b)?
-2*b**2 - 3
Let r(c) = 2*c**3 + 4*c**2 + 6*c + 3. Let p(b) = b**3 + 3*b**2 + 5*b + 2. Determine -3*p(x) + 2*r(x).
x**3 - x**2 - 3*x
Let j(a) = 17*a**3 - 11*a**2 - 4*a - 9. Let z(m) = 9*m**3 - 6*m**2 - 2*m - 5. What is 6*j(s) - 11*z(s)?
3*s**3 - 2*s + 1
Let c(v) = -7*v + 20*v + 1 - 7*v - 7*v. Let i(z) = 3*z - 1. What is -c(m) - i(m)?
-2*m
Let d(g) = -16*g - 1. Let s(x) = -x - 1. What is d(q) - 6*s(q)?
-10*q + 5
Let z(d) = 12*d**3 + 5*d**2 - 5*d + 5. Let i(p) = 42*p**3 + 18*p**2 - 18*p + 18. What is -5*i(h) + 18*z(h)?
6*h**3
Let c(z) = -14 - 16 + 29. Let f(h) = 2 + h - 4 - 1. Calculate -c(l) + f(l).
l - 2
Let b(w) = -12*w + 2. Let k(r) = -4*r + 1. What is 3*b(s) - 8*k(s)?
-4*s - 2
Let g(x) = 46*x**2 - 16*x + 16. Let m(z) = -15*z**2 + 5*z - 5. Determine 5*g(c) + 16*m(c).
-10*c**2
Let r(w) = 1. Let n(p) = -p - 5. Calculate -n(l) - 3*r(l).
l + 2
Let j(l) = -70*l. Let o(h) = -10*h. Determine 2*j(z) - 15*o(z).
10*z
Let l(v) = -v**3 - 9*v**2 - 4*v - 6. Let f(q) = -2*q**3 - 17*q**2 - 7*q - 11. Let g(j) = -8*j - 26. Let y be g(-4). Calculate y*f(w) - 11*l(w).
-w**3 - 3*w**2 + 2*w
Let q(c) = 7*c - 7. Let w(r) = -4*r + 4. Let m(x) = 3*q(x) + 5*w(x). Let a(k) = 2*k**2 - 4*k + 3. Give -a(t) - 5*m(t).
-2*t**2 - t + 2
Let n(g) be the second derivative of -g**4/4 - 17*g**3/6 + 2*g. Let k be (-1 + 4 - 1)*1. Let o(p) = 0*p - p**k + p - 7*p. Calculate 6*n(f) - 17*o(f).
-f**2
Let i(m) = 6*m**3 + 4*m**2 - m + 7. Let b(a) = -5*a**3 - 3*a**2 + a - 6. Calculate -7*b(j) - 6*i(j).
-j**3 - 3*j**2 - j
Let j(n) = 2*n**2 + 3*n + 4. Let d be j(-3). Let a(m) = 7*m**2 + 6*m - 4. Let r(o) = 8*o**2 + 7*o**2 - 6 + 13*o - 3. Calculate d*a(i) - 6*r(i).
i**2 + 2
Let o(a) = -2*a + 6. Let w(t) = -22 + 9 - 4*t + 8*t. Suppose 0*g + 35 = -2*g - 3*d, g - 5*d - 2 = 0. Determine g*o(v) - 6*w(v).
2*v
Suppose -2*j - j = -3. Let s(g) = g**2 - 2*g + 2. Let v(z) = -z**2 + 1. Let x(f) = j*s(f) - 2*v(f). Let p(l) = l**2 - l. Calculate -2*p(k) + x(k).
k**2
Let i(g) = 1. Suppose -5 = -3*j + 1. Let s(q) = -1 - 7*q + 3*q + 3*q - j. Suppose -2*l + l = 2. Calculate l*s(f) - 5*i(f).
2*f + 1
Let w(x) = -5*x**3 - 4*x + 1. Let a(c) = 7*c + 6*c - 14*c + 8 - 3*c**3. Let d(m) = 7*m**3 + 3*m - 15. Let q(p) = -11*a(p) - 6*d(p). What is 6*q(z) - 11*w(z)?
z**3 + 2*z + 1
Let m(b) be the third derivative of b**6/40 + b**5/12 + 2*b**3/3 - 16*b**2. Let c(q) = 5*q**3 + 9*q**2 + 7. Give -4*c(j) + 7*m(j).
j**3 - j**2
Let i(z) = -6*z**3 - 3*z**2 - 4*z - 9. Let u(h) = -5*h**3 - 2*h**2 - 3*h - 10. Give -3*i(w) + 4*u(w).
-2*w**3 + w**2 - 13
Let n(h) be the third derivative of -h**4/24 - h**3/6 + 21*h**2. Let w(a) = 10*a + 5. Give -5*n(x) - w(x).
-5*x
Let g be (15/25)/(1/10). Let t(a) = g - a**2 - 2 - 2 + 2*a. Let c(q) = 5*q**2 - 8*q - 8. Give 2*c(i) + 9*t(i).
i**2 + 2*i + 2
Let m(x) = x**3 + x**2. Let f(h) = 38*h**3 + 76*h**2. What is f(i) - 76*m(i)?
-38*i**3
Let t(h) = -1. Let y(u) = -u**2 - 2. Suppose 10 = -q + 3*q. Suppose q*v = -3*b - 26, v + 2 + 2 = 0. Determine b*y(l) + 3*t(l).
2*l**2 + 1
Let a(v) = v**2 + v - 1. Let m(z) = 2*z**2 - 43*z - 1. Give a(r) - m(r).
-r**2 + 44*r
Let o(g) = -g**3 + 2*g**2 - g + 6. Let d(h) = -h**3 + h**2 + 1. Determine -4*d(p) + o(p).
3*p**3 - 2*p**2 - p + 2
Let w(q) = q + 5. Let x(d) = 2*d + 9. Let b(c) = -8*c + 1. Let m be b(1). Let u = -18 - m. Calculate u*w(r) + 6*x(r).
r - 1
Let f(q) = -q. Let a(i) = 6*i + 2. Let z(o) = -a(o) - 3*f(o). Let y(c) = -16*c - 11. Let d = -5 - -7. What is d*y(w) - 11*z(w)?
w
Let u(v) = 10*v**2 - 8*v + 10. Suppose 0 = 8*a - 1420 + 1404. Let f(w) = w**2 - w + 1. Suppose 3*o = -4*z - 72, 56 = -2*z - 5*o + 20. Determine a*u(i) + z*f(i).
2*i**2 + 2*i + 2
Let o(y) be the third derivative of y**6/120 - y**4/8 - 50*y**2. Let l(r) = -r**3 + 2*r. Determine -7*l(a) - 4*o(a).
3*a**3 - 2*a
Let q(i) = -i**2 + 6*i - 4. Let n(u) = 3*u**2 - 17*u + 11. What is 4*n(x) + 11*q(x)?
x**2 - 2*x
Let q(g) = 3*g + 5. Let c(x) = x + 1. Suppose -8*u + 5*u = 3. What is u*q(b) + 5*c(b)?
2*b
Let s(w) = 4*w**2 + 5*w - 5. Let i(r) = 2*r**2 + 3*r - 3. What is 10*i(y) - 6*s(y)?
-4*y**2
Let w(r) = 109*r - 2 - r**3 + 105*r - 217*r + 3*r**2. Let q(m) = -2*m**3 + 5*m**2 - 5*m - 2. Let l(y) = 1. Let u(c) = -l(c) + q(c). Determine 6*u(i) - 10*w(i).
-2*i**3 + 2
Let q(j) = j. Let m(r) = -6*r. What is -4*m(b) - 21*q(b)?
3*b
Let w(l) = 86 - 86 - 2*l. Let x(z) = z. Determine 4*w(b) + 4*x(b).
-4*b
Let g(d) = 16*d. Let q(n) = -385*n. Calculate 49*g(m) + 2*q(m).
14*m
Let s(h) = h + 1. Let y(i) = -7*i + 9. Let r(q) = -2*s(q) - y(q). Let c be 9/(-18)*(3 - -5). Let d(v) = v - 2. Calculate c*r(p) + 22*d(p).
2*p
Let n(t) = -t**2 - 2*t + 2. Let q(b) = -5*b**2 - 9*b + 12 + 0 - 3. What is 9*n(o) - 2*q(o)?
o**2
Let b(m) be the third derivative of -m**6/120 - m**5/30 + m**4/12 + 11*m**2. Let v(t) = t**3 - t**2 + t. What is b(p) - 2*v(p)?
-3*p**3
Let p(r) = 1 + r + 3 + 1. Let i be 0/((-9)/(-3 - 0)). Suppose i = -2*v - 3 - 1. Let h(w) = -4. What is v*p(m) - 3*h(m)?
-2*m + 2
Let x(u) = -6*u + 3. Let m(o) = 13*o - 7. What is 2*m(c) + 5*x(c)?
-4*c + 1
Let j(t) = 2*t - 9. Let d(x) = 2*x + 4 - x - 2*x. Let m = -220 - -225. What is m*d(w) + 2*j(w)?
-w + 2
Let l(f) = -f**2 + f. Let a(y) = 8*y**2 - 11*y - 1. Give a(d) + 6*l(d).
2*d**2 - 5*d - 1
Let g(l) = 3*l**2 + 6*l - 2. Suppose 7 + 9 = 4*t. Let f(v) = -8*v**2 - 17*v + 6. Determine t*f(c) + 11*g(c).
c**2 - 2*c + 2
Suppose -7 + 34 = -9*h. Let s(f) = -5*f + 2. Let p(d) = -1. Give h*p(l) - s(l).
5*l + 1
Let b = -69 + 84. Let a(q) = 3*q**2 + 15*q. Let u(l) = l. Determine b*u(i) - a(i).
-3*i**2
Let p(y) = 20*y**2 + 7*y. Let k(h) = 30*h**2 + 11*h. Calculate -5*k(f) + 8*p(f).
10*f**2 + f
Let n(m) = m**3 + 11*m**2 + 4*m + 2. Let z(t) = 6*t**2 + 2*t + 1. What is -6*n(u) + 11*z(u)?
-6*u**3 - 2*u - 1
Suppose 18 = -5*f - 12. Let z(r) = -7*r**2 - 6*r - 6. Let t(q) be the third derivative of -q**5/60 - q**4/24 - q**3/6 - 5*q**2. What is f*t(i) + z(i)?
-i**2
Let y(j) = -j. Let k(t) = -t**3 + 4*t**2 + 3*t - 4. Let m be k(4). Let b = 11 - m. Let p(a) = a. What is b*p(h) + 2*y(h)?
h
Let o(d) be the third derivative of -1/8*d**4 + 2*d**2 + 0*d + 0 - 5/6*d**3. Let m(t) = 2 + 3 + 2*t + 2 - 3. Determine 4*m(s) + 3*o(s).
-s + 1
Suppose 0 = h + 5, -4*v + 2*v - 37 = 5*h. Let u(f) = 2*f + 7 - 7. Let p(i) = 3*i. What is v*u(x) + 5*p(x)?
3*x
Let u(t) = t**2 + 20*t - 64. Let k be u(-23). Let l(y) = -6*y - 6. Let q(c) = c + 1. Let g be (4/6)/((-2)/(-3)). Determine g*l(m) + k*q(m).
-m - 1
Let s(l) = -l + 3. Let g(b) = b - 2. Calculate -5*g(w) - 4*s(w).
-w - 2
Let p be (-2)/(1 - 7/9). Let r = p - -5. Let x(q) = 6*q**3 + 5*q**2 - 5*q. Let d(b) = 5*b**3 + 4*b**2 - 4*b. Give r*x(m | {
"pile_set_name": "DM Mathematics"
} |
5, 9
Sort -0.3, -6, -0.077, -9 in descending order.
-0.077, -0.3, -6, -9
Put 2, 2/147, 0.5, -60 in decreasing order.
2, 0.5, 2/147, -60
Put -154, -2/17, 3, 2, -0.1 in ascending order.
-154, -2/17, -0.1, 2, 3
Sort -1, -2, 181 in descending order.
181, -1, -2
Sort -7, 2/9, 1, -4.
-7, -4, 2/9, 1
Put -2, 0, -2.9, -1/3 in decreasing order.
0, -1/3, -2, -2.9
Put 4/7, 2, -0.4, 4 in increasing order.
-0.4, 4/7, 2, 4
Sort -7, -3, 14, -2 in decreasing order.
14, -2, -3, -7
Sort -2/5, 1/3, -5, 0.6 in decreasing order.
0.6, 1/3, -2/5, -5
Sort -0.3, 1/3, -6/7, -9, 18 in increasing order.
-9, -6/7, -0.3, 1/3, 18
Sort -13/8, 1/3, 4, -2.
-2, -13/8, 1/3, 4
Put 127, 5/3, 3/8 in ascending order.
3/8, 5/3, 127
Sort -1/5, 0.1, -5, -0.6, 0.
-5, -0.6, -1/5, 0, 0.1
Sort 3/11, 5/4, 0, -0.2, 17 in descending order.
17, 5/4, 3/11, 0, -0.2
Put -1, -0.08, -0.1, -0.4 in descending order.
-0.08, -0.1, -0.4, -1
Put 3/2, 2, 5/4, -19 in increasing order.
-19, 5/4, 3/2, 2
Put 88, 1, 2 in increasing order.
1, 2, 88
Sort -6, 5, -15, 3.
-15, -6, 3, 5
Put -2/5, -1/4, 282 in increasing order.
-2/5, -1/4, 282
Sort 1/6, 3, 0.03, -1.1 in ascending order.
-1.1, 0.03, 1/6, 3
Sort 1, 36, -1 in increasing order.
-1, 1, 36
Put 4, 14, 3 in decreasing order.
14, 4, 3
Put -1, 1835, 1, -4 in increasing order.
-4, -1, 1, 1835
Sort -347, 2, -5 in ascending order.
-347, -5, 2
Sort 3, -2/23, -3, -8 in increasing order.
-8, -3, -2/23, 3
Put 0, 42, -1 in descending order.
42, 0, -1
Sort 2/7, 2/13, -2, -1, 1 in descending order.
1, 2/7, 2/13, -1, -2
Sort -4, -3, -1766 in decreasing order.
-3, -4, -1766
Sort -1/5, 1/5, -0.07 in ascending order.
-1/5, -0.07, 1/5
Sort -1, 5, 12, -4 in decreasing order.
12, 5, -1, -4
Sort 4, -36, -1, -4 in ascending order.
-36, -4, -1, 4
Put -2, -12, -3 in ascending order.
-12, -3, -2
Put 0.14, 2, 7/3 in ascending order.
0.14, 2, 7/3
Sort -2, 3, 2627 in increasing order.
-2, 3, 2627
Sort 2/223, 4, -2/5 in descending order.
4, 2/223, -2/5
Sort 0.6, 1, 82, 5 in descending order.
82, 5, 1, 0.6
Put -1053, 0, 5 in decreasing order.
5, 0, -1053
Sort -4, -10, 2, 1 in descending order.
2, 1, -4, -10
Sort 0.8, 0.03, 3 in ascending order.
0.03, 0.8, 3
Sort -3, 3, 1, 1/4, -16 in increasing order.
-16, -3, 1/4, 1, 3
Sort -3, -4, 0, 4, 74 in decreasing order.
74, 4, 0, -3, -4
Put 3, -0.1, -2/7, 1.1 in increasing order.
-2/7, -0.1, 1.1, 3
Sort -0.06, 24, 0.2.
-0.06, 0.2, 24
Sort 0.3, 0.5, -2, 337.
-2, 0.3, 0.5, 337
Put -3, -4, 44 in descending order.
44, -3, -4
Sort 0, -4, -1, -6.
-6, -4, -1, 0
Sort 2, -4, 52, -3, 1.
-4, -3, 1, 2, 52
Put 1, 59, -5 in descending order.
59, 1, -5
Sort 1, -5/6, -0.5, 3 in increasing order.
-5/6, -0.5, 1, 3
Sort 647, 4, 0 in decreasing order.
647, 4, 0
Sort -2/17, 5, 36, -2/5 in descending order.
36, 5, -2/17, -2/5
Put -4, 2, -2, -27 in increasing order.
-27, -4, -2, 2
Sort -1, 7, 0, -4 in descending order.
7, 0, -1, -4
Sort -1, 40, -2.
-2, -1, 40
Sort -1/5, -9, 4, -5 in increasing order.
-9, -5, -1/5, 4
Put 0, 5, 2 in decreasing order.
5, 2, 0
Put -1, -2, -3, -4 in decreasing order.
-1, -2, -3, -4
Sort 233, -4, 5, -5 in descending order.
233, 5, -4, -5
Put 4, -14/11, -3/2, -0.32 in descending order.
4, -0.32, -14/11, -3/2
Sort -185, -2, -16 in descending order.
-2, -16, -185
Sort -2, 5, -27, 4 in increasing order.
-27, -2, 4, 5
Sort 2, 0, -4, 209 in ascending order.
-4, 0, 2, 209
Sort 8, -3, -1.
-3, -1, 8
Sort 4, 0.4, -1, 2/7.
-1, 2/7, 0.4, 4
Put -5, 2250, 0 in descending order.
2250, 0, -5
Sort -0.99, 4, 1/6 in ascending order.
-0.99, 1/6, 4
Sort -0.4, -25, -0.3, -3/5 in ascending order.
-25, -3/5, -0.4, -0.3
Sort -9, 3, 0 in increasing order.
-9, 0, 3
Sort -0.07, 3/4, 15 in decreasing order.
15, 3/4, -0.07
Sort -2, 3, -6, -3, -8 in increasing order.
-8, -6, -3, -2, 3
Sort 5, 3990, 0 in increasing order.
0, 5, 3990
Sort 0.621, -5, 0.18.
-5, 0.18, 0.621
Sort -5, -220, 0.
-220, -5, 0
Put -0.01, -2, 3, 5 in descending order.
5, 3, -0.01, -2
Put 0, -4, -2, -3, -23 in increasing order.
-23, -4, -3, -2, 0
Put 87, 3, -4, 0, 1 in decreasing order.
87, 3, 1, 0, -4
Sort 3/22, 3/7, 0.4, -4 in descending order.
3/7, 0.4, 3/22, -4
Put 4, 0, 3, 5 in increasing order.
0, 3, 4, 5
Put -15, -2, 2, -2/11 in decreasing order.
2, -2/11, -2, -15
Sort -3, 3, 2, 7 in ascending order.
-3, 2, 3, 7
Sort 4, 5, 0.4, 1 in descending order.
5, 4, 1, 0.4
Sort 61, 4, -3.
-3, 4, 61
Put -1/4, 22, -4 in decreasing order.
22, -1/4, -4
Sort -4, -7, 10 in descending order.
10, -4, -7
Sort 1, 5, 4 in descending order.
5, 4, 1
Sort 25, -3, -1, 4.
-3, -1, 4, 25
Sort -5, 3, 20, -2 in ascending order.
-5, -2, 3, 20
Sort 412, -4, -1 in ascending order.
-4, -1, 412
Put 4, -2/19, -1, 0.039 in decreasing order.
4, 0.039, -2/19, -1
Put 5, 4, -217 in descending order.
5, 4, -217
Put -3, 0, 54 in ascending order.
-3, 0, 54
Put -0.1, 8, -0.2, 32, -5 in decreasing order.
32, 8, -0.1, -0.2, -5
Sort 4, 1, -1/4, -10.
-10, -1/4, 1, 4
Put 3, -2, 61 in ascending order.
-2, 3, 61
Put 2, -2, 14, 5 in decreasing order.
14, 5, 2, -2
Put 7, 4, -1 in ascending order.
-1, 4, 7
Sort -490, -2, -5, 5 in increasing order.
-490, -5, -2, 5
Sort -3, -1, -5, 1, 4 in descending order.
4, 1, -1, -3, -5
Put 142, -4, -3, -2, 0 in ascending order.
-4, -3, -2, 0, 142
Put -4/7, 13, -3 in decreasing order.
13, -4/7, -3
Sort -0.4, 4, 5/2, 0, 74.
-0.4, 0, 5/2, 4, 74
Put 0.5, 3, 0.06, 2 in descending order.
3, 2, 0.5, 0.06
Put -4, 4, 19 in descending order.
19, 4, -4
Put 0.2, -5, 0, -68/9 in decreasing order.
0.2, 0, -5, -68/9
Sort -25.3, -2/11, 0.1, -1 in decreasing order.
0.1, -2/11, -1, -25.3
Sort 5, 2/25, -6, 0.5, -0.3 in descending order.
5, 0.5, 2/25, -0.3, -6
Sort -5, 39, -13, 1 in increasing order.
-13, -5, 1, 39
Sort 3/17, 2, 179 in decreasing order.
179, 2, 3/17
Sort -5, -844, -2.
-844, -5, -2
Sort 0, -37, 2, 13/5, 1 in decreasing order.
13/5, 2, 1, 0, -37
Sort 2, 11, -1.
-1, 2, 11
Put -19, -13, -3 in ascending order.
-19, -13, -3
Put 8, 1/33, 5, -2 in descending order.
8, 5, 1/33, -2
Sort 2, -0.2, -1/4, -1/2 in descending order.
2, -0.2, -1/4, -1/2
Put 0.2, -0.4, 2/17, 80 in increasing order.
-0.4, 2/17, 0.2, 80
Sort -6, -9, 3/7 in decreasing order.
3/7, -6, -9
Sort -158, -4, -3, 3 in increasing order.
-158, -4, -3, 3
Put -1, 0.3, 11, -0.03, 3/8 in decreasing order.
11, 3/8, 0.3, -0.03, -1
Sort -0.06, -9.3, 0.4 in increasing order.
-9.3, -0.06, 0.4
Sort -2/17, -0.4, 1, -2, -0.5.
-2, -0.5, -0.4, -2/17, 1
Put 0.3, 0.1, 0.08, 2 in descending order.
2, 0.3, 0.1, 0.08
Sort 10, -5, 4, 53, 3 in ascending order.
-5, 3, 4, 10, 53
Sort -4, -18, -1 in decreasing order.
-1, -4, -18
Sort 299, 4, -1 in descending order.
299, 4, -1
Sort -3, -2, 31, -1.
-3, -2, -1, 31
Sort 367, 4, 0, -3 in decreasing order.
367, 4, 0, -3
Sort -0.186, -0.5, -3 in increasing order.
-3, -0.5, -0.186
Put -0.5, 0.3, -3/8, 6/11 in descending order.
6/11, 0.3, -3/8, -0.5
Sort -1, 3, -5, 91, 1 in decreasing order.
91, 3, 1, -1, -5
Sort -18, 1, -5, 5 in increasing order.
-18, -5, 1, 5
Put 3/2, -8, -4 in decreasing order.
3/2, -4, -8
Sort 5, 0, -39, -2.
-39, -2, 0, 5
Put -539, 7, 0 in ascending order.
-539, 0, 7
Put -1/6, 2/3, 0, -0.5 in decreasing order.
2/3, 0, -1/6, -0.5
Sort -0.9, -5/3, 0.0479 in increasing order.
-5/3, -0.9, 0.0479
Sort -1, -2/11, 5161 in ascending order.
-1, -2/11, 5161
Sort 2, -652, -4 in decreasing order.
2, -4, -652
Sort 0.2, 0, -2/13, -1/34 in increasing order.
-2/13, -1/34, 0, 0.2
Put 5/4, 4, -3/8 in descending order.
4, 5/4, -3/8
Sort -0.04, 2, 170 in descending order.
170, 2, -0.04
Sort 30, -3, -5, 4.
-5, -3, 4, 30
Sort -6, 1, 4, 3 in increasing order.
-6, 1, 3, 4
Sort -0.3, 0.4, -6/19, 0 in descending order.
0.4, 0, -0.3, -6/19
Sort 2/9, 2, 1459.
2/9, 2, 1459
Sort -4, 81, 1, 2, -3/4.
-4, -3/4, 1, 2, 81
Sort 0, -1, -6, 4.
-6, -1, 0, 4
Sort -6, 0, -3, -5, 3 in descending order.
3, 0, -3, -5, -6
Put -1, 2, 4, 0, 6 in ascending order.
-1, 0, 2, 4, 6
Sort -4, 3, -1.
-4, -1, 3
Sort -91, -1/3, 5 in descending order.
5, -1/3, -91
Sort -4, 25, 14 in increasing order.
-4, 14, 25
Sort 0, -5, 3, 5, 16 in decreasing order.
16, 5, 3, 0, -5
Put -0.3, 1.7, 27/5 in ascending order.
-0.3, 1.7, 27/5
Put -1, -5, 22, 18, -3 in decreasing order.
22, 18, -1, -3, -5
Sort -32, -1/4, -0.2.
-32, -1/4, -0.2
Sort -0.4, 0.5, 28, -1 in ascending order.
-1, -0.4, 0 | {
"pile_set_name": "DM Mathematics"
} |
-0.0396 + 0.2596. Sort 3, 1/10, b, -4.
-4, 1/10, b, 3
Let m = 51.19 + -107.79. Put m, 4, -5 in ascending order.
m, -5, 4
Suppose 5*d + 3 = -12*u + 9*u, 5*u + 3*d = -5. Put 0, u, -235 in decreasing order.
0, u, -235
Let w = 8120 - 24358/3. Sort w, 16, -2, -4/5.
-2, -4/5, w, 16
Let f = -0.005 - 0.095. Let r = -6 + 5.8. Suppose -39 = 7*a + 3. Sort r, a, f in descending order.
f, r, a
Let j = -48 + 59. Suppose -2*m - 2*a + 14 = 0, -5*a + 3*a = m - j. Suppose -9*n + 8*n - 3 = 0. Sort m, n, -2/39 in increasing order.
n, -2/39, m
Suppose -2*j = 53 - 57. Suppose -3*m = -166 - j. Let i = -60 + m. Sort 3, i, -25, -0.4 in ascending order.
-25, i, -0.4, 3
Let m be 2/(-8)*4/(-6)*1. Let d = 2.5 - 6.5. Sort -0.3, -2, d, m in increasing order.
d, -2, -0.3, m
Let x = 11 + -15. Suppose 4*b - 50 = -c + 56, 4*b + 344 = 4*c. Let u be 2/c + 3/27. Put u, -8/3, 5, x in increasing order.
x, -8/3, u, 5
Let t = -1630 + 1639. Sort t, -1/5, 5 in descending order.
t, 5, -1/5
Suppose 47*v + 1034 = 893. Sort v, 4, -5, 5, 6.
-5, v, 4, 5, 6
Suppose -3*o = -5*o - 14. Let r = -773 - -801. Suppose 5*j - j = -4*t - r, 0 = t + 4. Sort -2, j, o, 1 in ascending order.
o, j, -2, 1
Let m be ((-9)/6)/(6/(-8)). Let a be 29/116*40/45 - 94/18. Put m, -2, a in increasing order.
a, -2, m
Let x be 16/(-6)*((-11)/(-4) + -3). Let h = -42.3 + 42. Let v = 3 - 4. Sort v, x, h in descending order.
x, h, v
Let j = -33063/7 - -4724. Put -2/13, -2, 0.05, j in increasing order.
-2, -2/13, 0.05, j
Let d be 2712/(-543) + 15/(-3)*-1. Let m = -538/905 - d. Put 1, 1/3, m in decreasing order.
1, 1/3, m
Let m = 22632 + -22632.2. Put 6, 5, 0.2, m, -2/5 in increasing order.
-2/5, m, 0.2, 5, 6
Suppose -3*j + 0*a = -4*a - 13, -2*a - 9 = j. Let q be (j - 0) + 1/(-2)*-2. Put 3, 1, 2, q in descending order.
3, 2, 1, q
Let j be (-1 - 1)/(-16 + (-21 - -36)). Put 0, 5, 9, j in descending order.
9, 5, j, 0
Let f(d) = -d**3 + 2*d**2 - 1. Let z be f(1). Let w be (11 - 0 - 12/6)*214/321. Put -2, w, z, -3 in increasing order.
-3, -2, z, w
Let r = 975 - 973. Put 15/127, -4, r in ascending order.
-4, 15/127, r
Suppose 12*i = -78 - 42. Let a = i - -15. Suppose 0 - 5 = -a*u - 3*h, -5*u + 2*h = 20. Put -15, u, 4 in decreasing order.
4, u, -15
Let k be (4/6)/((-10)/(-15)). Let d = 1 + k. Let p = 18.7 + -20.7. Put p, 0.3, d in increasing order.
p, 0.3, d
Let g be ((-2)/7)/(2 - 105/49). Suppose g*r = -2*r. Suppose r = 2*a + a - 3. Put -10, -5, a in ascending order.
-10, -5, a
Let v = -4331.8 + 4332. Sort v, 0, 372 in descending order.
372, v, 0
Let d = -15.166 - -16.166. Sort 1/12, d, 0.6, 0.
0, 1/12, 0.6, d
Suppose -1045 = 5*r + 5*f, -2*f + 1065 = -5*r + 3*f. Let z be (-3 + -5 + 7)/(59205/(-7405) + 8). Let t = r - z. Put 2/21, -5, t, -3/7 in ascending order.
-5, -3/7, 2/21, t
Let w be 0 + (-18)/(-4) - 450/180. Sort -85, w, -0.1 in descending order.
w, -0.1, -85
Suppose -4*g - 2*f - 1432 = 0, -2*f - 1432 = 4*g - 4*f. Let y = -355 - g. Suppose 4*s = -4*d - 92, -4*s = d + 4*d + 112. Put -3, d, y in ascending order.
d, -3, y
Let x(t) = 8*t**2 + 701 - 12*t + 3*t**3 - 3*t**3 - 716 - t**3. Let w be x(5). Suppose -10 = -5*a + 3*c, -a - 2*c + 3 + 12 = 0. Put 1, w, a in decreasing order.
a, 1, w
Let v(m) = -m**2 + 9*m + 5. Let z be v(10). Let t = 7 - z. Let n = t + -13. Put n, 3, -3 in decreasing order.
3, n, -3
Let s be 3 + 5/20 + (-1)/4 + -6. Suppose 0*z = 2*z + 34. Sort s, 5, z, 0.
z, s, 0, 5
Let m = -153.73 - -160. Let s = m - 7.3. Let v = 1.03 + s. Put v, -0.1, -0.3, -2/3 in descending order.
v, -0.1, -0.3, -2/3
Let k be (-30)/(-25) - (-429)/(-195). Put 92, -59, k in descending order.
92, k, -59
Suppose 16 = -2*f + 2*n, -3*f - 29 = f - 3*n. Sort f, -2, -46, 6.
-46, f, -2, 6
Let q = -87 + 95. Let s be q/(-6)*(-5 + 2). Sort s, -1, -5, 3 in increasing order.
-5, -1, 3, s
Let q = -2712 - -987171/364. Sort q, -1, -3/4 in descending order.
q, -3/4, -1
Let f(q) be the first derivative of -q**4/4 - 5*q**3/3 + 3*q**2/2 + 14*q + 48. Let l be f(-5). Sort 2/5, 4, l, 1/5.
l, 1/5, 2/5, 4
Suppose -89*s = 408*s + 1988. Sort 8, -8, 3, s in ascending order.
-8, s, 3, 8
Let f be (1/2*2)/(-1). Let m(b) = b**3 - 32*b**2 - 42*b + 294. Let w be m(33). Sort f, -4, w, -5 in ascending order.
-5, -4, w, f
Let r = -5.7 - -5. Let n = r + 13.7. Suppose 6*d = -4*d + 21*d - 44. Sort d, n, 2/11 in decreasing order.
n, d, 2/11
Suppose -22 = -2*j + 39*w - 35*w, 4*j - 24 = 3*w. Sort 246, 0.3, j, -2/11.
-2/11, 0.3, j, 246
Let l = -1648.8 + 1644.8. Sort 0.3, 2, l, 3/14, 5 in decreasing order.
5, 2, 0.3, 3/14, l
Let h be 1/1 + -4 + (-9 - -20). Sort -14, -1, h, 4.
-14, -1, 4, h
Let g = -1649 - -1653. Suppose 13 - 1 = -4*o. Sort -40, o, g.
-40, o, g
Let l(u) be the second derivative of -u**3/6 - 4*u**2 + u. Let k be l(-5). Let f = -7732 - -7737. Put f, -5, 3, k in decreasing order.
f, 3, k, -5
Let q be 6/(-15) + (-1202)/(-5). Put q, -1, -5 in decreasing order.
q, -1, -5
Let n = 7.89 - -0.11. Let l = n - 5. Let o = -12243.3 + 12243.5. Put -5, o, -0.4, l in decreasing order.
l, o, -0.4, -5
Let t be ((-1884)/30)/((-94)/(-235)). Sort -5, -13, t in ascending order.
t, -13, -5
Let c = -28.34 + 24.34. Sort -1, -11/6, c, -5 in decreasing order.
-1, -11/6, c, -5
Suppose -123*x - 110*x + 11528 = -189*x. Sort x, 17, -3 in descending order.
x, 17, -3
Suppose -5*c - 2 = 4*q - q, 0 = -4*c - 2*q - 2. Let m = 468 + -468. Let v = 1 - 6. Put m, v, c, 0.4 in increasing order.
v, c, m, 0.4
Let h(n) = 9*n + 308. Let d be h(-34). Suppose 23*m + 4*g + 24 = 19*m, d*g + 6 = 0. Put -1/3, m, 4 in ascending order.
m, -1/3, 4
Let c be (-1)/(-4) - (-165)/(-180). Let s(f) = -50*f - 5. Let n be s(1). Let i be ((-22)/n)/((-21)/(-5)). Sort -5, i, -0.2, c in descending order.
i, -0.2, c, -5
Let g(w) = -3*w**2 + 64*w + 39. Let y be g(22). Sort 1, 4, 0, y, 6 in decreasing order.
6, 4, 1, 0, y
Let j = 3.83 - -0.17. Suppose 144 = -197*n - 53. Sort j, -4, 2/7, n in descending order.
j, 2/7, n, -4
Let i = -16 - -14. Let m be (-15 - -12 - (5 + -16)) + -13. Sort i, -4, m, -4/5 in ascending order.
m, -4, i, -4/5
Let c = -112.992 - -113. Let q = 0.292 + c. Sort 1, q, -0.2 in decreasing order.
1, q, -0.2
Suppose 11*u = 13*u + u. Let a = -11 + 24. Let k = -8 + a. Put u, 2, k in descending order.
k, 2, u
Let l(f) = -f**2 + 10*f + 9. Let g be l(10). Let z be (7 - g)*(-1)/4. Let n = -231215/67 + 3451. Sort z, 0, n in decreasing order.
z, n, 0
Suppose 5*m + 7 = 3*u, -5 = 3*m + 7*u + 8. Suppose 3*l + w + 8 = -3, 5*l = -4*w - 23. Sort l, m, -17 in decreasing order.
m, l, -17
Let h(n) = -n**3 - n**2 + 18*n + 29. Let d be h(-4). Sort 1, 0, -46/3, -1/4, d in decreasing order.
d, 1, 0, -1/4, -46/3
Let u be (9/(-4))/((-14)/(-168)). Let c = u + 59. Let m be 16/c*(0 - 8). Put m, -6, 0.4 in descending order.
0.4, m, -6
Let a be (8/6)/((-5)/15). Let n = 49 - 49. Suppose 0*y - 8*y + 16 = n. Sort a, 1, y, -5 in descending order.
y, 1, a, -5
Suppose 19 = -10*q + 15 + 24. Sort q, 3, -11, -6.
-11, -6, q, 3
Let a = 19 + -7. Let u be ((-5)/(-2))/(6/a). Let x = 53 - 55. Sort 0, u, -1, x in ascending order.
x, -1, 0, u
Suppose 2*n - 40 = -10. Suppose -r + 3*g - 9 = 0, 0*r - n = r - 5*g. Let o(y) = -y**3 + 16*y - 2. Let i be o(4). Sort -4, r, 1, i in descending order.
1, r, i, -4
Let y(t) = 74*t - 119. Let s be y(1). Let l = -12 + 15. Put -3, l, s, -5 in ascending order.
s, -5, -3, l
Let q(u) = -u**3 - 36*u**2 - 94*u + 170. Let j be q(-33). Put 7, j, 0, -5, -2 in descending order.
7, j, 0, -2, -5
Let i = 81.3 + 18.2. Let n = i + -100. Let v = 0.05 - 0.25. Sort n, v, 0.4 in decreasing order.
0.4, v, n
Let j = 2/4765 + 42881/9530. Sort 5, j, 0.5.
0.5, j, 5
Let v be (-7 + (-924)/(-133))/(3/(-2)). Sort -4, 0.2, v in decreasing order.
0.2, v, -4
Let l be (-6 - -4)/(-4) + (-5 - (-42)/12). Sort -19, 69, l in ascending order.
-19, l, 69
Let p(h) = -5*h**3 + h**2. Let j be p(-1). Let b = -383 - -383. Put 1/2, -2, j, b in decreasing order.
j, 1/2, b, -2
Let s = -140.44 - -140.38. Put -1/4, s, 4/7, -2, -1 in decreasing order.
4/7, s, -1/4, -1, -2
Let y(i) = i**3 + 10*i**2 - 10*i + 13. Suppose -q - h - 14 = 0, 7*q - 2*q + 40 = 5*h. Let r be y(q). Suppose -r = -10*d + 9*d. Sort 1, d, 5 in increasing order.
1, d, 5
Let j(v) = -v**3 + 83*v**2 - 361*v + 94. Let w be j(79). Put -5, 4, w in increasing order.
w, -5, 4
Let j be 6/(-9) + (-512)/(-624). Sort j, | {
"pile_set_name": "DM Mathematics"
} |
o.
-4
Let q(b) = -28*b**2 - 757*b - 22. Let o be q(-27). Suppose -g = -3*h - 22, -3*h = -5*g + 2*h + 90. Solve -t + g = -o*t for t.
-4
Let k be (-342)/(-66) - 5 - 40/(-22). Suppose k*u - 4 = 2*f + 6*u, 0 = -2*f - 3*u - 2. Solve f*m + 8 = -0 for m.
-4
Suppose -5*f - 6 + 43 = -2*g, 5*g - 9 = -2*f. Suppose -8*w + f*w + 55 = 5*k, 0 = -3*k - 5*w + 55. Solve 14*p - k = 12*p for p.
5
Let h(b) = 20*b**3 - b**2 - 1. Let r be h(1). Suppose -r*m = -207 + 27. Solve m = 2*y + 20 for y.
-5
Let x(j) = -238*j + 2383. Let t be x(10). Suppose w - 3*w = 0. Suppose 2*y - 9 = -y. Solve y*l = -w*l + t for l.
1
Let i = 315 - 303. Solve 0 = -12*j + i - 72 for j.
-5
Let i be 3388/220 - 1/(5/2). Let c be -2*i/6 - 6*-3. Solve 6*r = 5 + c for r.
3
Let a be (-1)/(8/(-7) + 1) + (-452)/452. Solve -a*j = 19 - 31 for j.
2
Let u = 18 - -2. Suppose u = -6*b + 8*b. Let r(g) = 2*g - 16. Let o be r(b). Solve -w + 5 = o*w for w.
1
Suppose -v - 6 = -3*m - 40, -3*v + 4*m = -97. Solve 15*h + v = -14 for h.
-3
Let j(t) = 20 + 20 - t + 0*t. Let r be j(35). Solve r*z - 11 - 9 = 0 for z.
4
Suppose -4*q - m = -1 - 2, -q - 5*m - 23 = 0. Suppose 4*g - 25 = z, g = 3*g + q*z. Solve 0 = -g*y + 14 + 6 for y.
4
Suppose 3*b + o = -o + 26, 23 = 3*b - o. Suppose 0 = -z - 7*z. Suppose z = -5*h - 2*h + 35. Solve -3*c + b*c = -h for c.
-1
Suppose 47*x - 43*x = -5*k + 527, -3*x = 3*k - 318. Solve -k*c + 488 = 76 for c.
4
Let f be (-1 + 1144/24)/((-2)/12). Let v = f - -288. Solve 0 = -4*i - 0*i + v for i.
2
Let o(y) = y**3 + 4*y**2 - 4*y + 3. Let s be o(-5). Let l = -4104 - -4113. Let q be (12/l)/s*225/(-10). Solve q = -3*j - 0 for j.
-5
Let d(x) = -19*x**2 + 968*x + 103. Let w be d(51). Solve 16*v + w = 3*v for v.
-4
Let x(c) = -2*c**3 + 3*c**2 + c + 1. Let p be x(-2). Suppose -p*g = -26*g - 4. Let r be 1 + (22/(-18) - g/(-18)). Solve 3*a - 2*a - 1 = r for a.
1
Let s = 126 + -100. Suppose p + 8 = n, -n = -5*n + 2*p + s. Suppose 41 = 2*w - l + 10, -2*w - l = -25. Solve -1 = n*t + w for t.
-3
Suppose 43*a - 42*a = 0. Suppose 4*m - 53 + 29 = a. Solve -4*n - m = -10 for n.
1
Let u(q) = -23*q + 428. Let z be u(16). Let n be (5 - 5)/((-2)/3*-3). Solve z*x - 63*x = n for x.
0
Let c be 0 + 1 + (2 + 0 - 1). Let l be c*1/(-4)*0. Suppose 2*h - 5*u - 11 = l, -4*h - 2*u = -7*h + 11. Solve -h = -2*t - 1 for t.
1
Suppose 0 = s + 12729 - 12857. Solve s = 19*j + 33 for j.
5
Let u be (3/2)/((-3)/(-30)). Let s(k) = 4*k**2 - 7*k - 4*k**2 + k**2 + 2*k**2 - 4*k**2. Let p be s(-7). Solve 0 = -p*b - 5*b - u for b.
-3
Let y = -327 - -341. Solve y*a - 82 = -40 for a.
3
Suppose 8 = -x + 5*v, 4*v + 22 = 4*x + 6. Solve -x*n - 25 = -4 for n.
-3
Suppose -4*j + 391 = 3*y, -5*y - 12 - 3 = 0. Let f be (-3)/(((-105)/j)/7). Solve -2*w - 2*w + f = 0 for w.
5
Let u(x) = -x**2 + 10*x - 11. Let z be u(9). Let p = 6 - z. Solve p = -3*f + 23 for f.
5
Let l be (-6)/(9 + -3)*7/(49/(-763)). Solve 27 = -l*w + 112*w for w.
9
Let x = 191 - 434. Let i = x - -246. Solve z = -i*z - 8 for z.
-2
Let q(u) = 169*u + 2197. Let h be q(-13). Solve h = 90*m - 92*m - 12 for m.
-6
Let r = 70 - 10. Suppose 0 = -7*t + 67 - r. Solve -b - 3 = -t for b.
-2
Let n = -1494 + 1677. Solve n - 189 = -3*b for b.
2
Let v be (5 - 6) + 6 - -3. Suppose -3*a = -2*b + 6, 4*a = -13*b + 15*b - v. Solve -p + b*p = 0 for p.
0
Let v = -4289 + 4425. Solve 11*k + 23*k = v for k.
4
Let w(l) = -l**3 - 4*l**2 - 6*l - 3. Let r be w(-2). Let b(d) be the third derivative of d**5/20 + d**3/6 + 13*d**2. Let s be b(r). Solve 3*q = -s + 7 for q.
1
Suppose -w = 4*o - 81, -188*o + 4*w = -192*o + 84. Solve -2 - 18 = -o*v for v.
1
Suppose -207 = -67*p + 3478. Solve 58*g + p = 47*g for g.
-5
Let i(n) = n**3 + 14*n**2 + 9*n - 61. Let t be i(-13). Let d be -17*14/(-63) - 2/t. Solve 5 = 3*u - d for u.
3
Let b = 133 - 129. Suppose -16 + 4 = -6*q. Suppose q*p + i + i - 4 = 0, 5*p - 4*i = 28. Solve 0*l = b*l + p for l.
-1
Let o = 9 + -3. Suppose -f + 233 = 33*f + 63. Solve -o*u + 1 = -f*u for u.
1
Suppose 6*k - 24 = 3*n + 10*k, 0 = k + 6. Suppose u = -u + 10. Solve -v = -n + u for v.
-5
Let f = 64 + -56. Solve -36*r - 28 = -f*r for r.
-1
Suppose -12*w + 342 + 226 = -92. Solve -90*i + w = -101*i for i.
-5
Let z = -82 + 96. Suppose 5*l + 44 = z. Let m(h) = -2*h + 6. Let d be m(l). Solve -3*x + d = 3 for x.
5
Let m be -434 - 7 - 18/3. Let j = -416 - m. Solve 16 = j*r - 27*r for r.
4
Suppose -2*l + 3*i - 15 = 0, l - 15 - 10 = -5*i. Suppose -21 = -7*d - l. Solve d = -4*t + 19 for t.
4
Suppose 4*s - 3*l = -5, -4*l - 2 = s + 4. Let q(i) = -2*i**2 - 9*i - 9. Let y be q(s). Solve -y = m + 4 for m.
-5
Let h(d) = -d**2 + 7*d + 7. Let f(v) = v**2 - 8*v - 8. Let p(m) = -5*f(m) - 6*h(m). Let g be p(-1). Suppose -g = -n + 4. Solve 16 = -n*t - 4 for t.
-4
Let s(t) = 3*t**2 + 44*t - 19. Let j be s(-15). Let k be (-2)/(j/(-1)) + 21/6. Solve -z + k*z = 8 for z.
4
Suppose -551*n = -270*n - 236040. Solve 833*s = n*s + 56 for s.
-8
Let d be (-1260)/33 + 1 + (-4)/(-22). Let w = -16 - d. Suppose 5*r - 7 = -6*n + 7*n, 5*n - w = -3*r. Solve 6*v - r*v = -20 for v.
-5
Let h be ((-234)/(-65) + -6)/((-3)/(121 - 1)). Solve 0 = -9*o + h - 150 for o.
-6
Let m = 126 + -145. Let y = -17 - m. Suppose y*x + 42 = 5*x. Solve -6 = -5*f + x for f.
4
Let q(v) be the second derivative of 7/2*v**2 + 4/3*v**3 + 1/6*v**4 + 25 - 2*v. Let f be q(-3). Solve 13*n - 12*n + f = 0 for n.
-1
Let g(j) be the third derivative of -j**5/60 + 5*j**4/12 + 4*j**3 - 58*j**2. Let o be g(12). Solve o = 5*p - 20 - 0 for p.
4
Let r(k) = k**3 - 41*k**2 - 140*k - 23. Let t be r(44). Let j = 375 + t. Solve 2*m + 8 = -j*m for m.
-4
Suppose 744 = 15*y + 31*y + 47*y. Solve -y*f + 28 - 20 = 0 for f.
1
Let p be (1 + 0)/(((-3)/15)/1). Let r be 1 - (p - (3 - 7)). Solve 3*u = 5 - r for u.
1
Let d be 205/(-2)*56/(-70). Solve 0 = d*m - 88*m - 24 for m.
-4
Let w = -2435 + 2445. Solve -13*c = w*c + 23 for c.
-1
Let x be (-1097)/(-7) + -1 + (-22)/(-77). Suppose 165*r - x*r = 18. Solve 0 = r*v + 10 - 2 for v.
-4
Let l = -608 + 596. Let m be 140/(-40)*l/14. Solve 27 = -m*w + 24 for w.
-1
Let y be (-182)/(-3) + 4592/123 + -38. Solve y = -16*r + 6*r for r.
-6
Let j be (28/2)/(4 + -3). Suppose -q + 19 = j. Suppose -3*x = -2*g + 5, -4*x = 2*g - 3*x - 17. Solve -q*v + g = -3 for v.
2
Let n be 6/9*(30 - 3). Let i = -12 - -12. Suppose i = -8*f + n - 2. Solve f = 2*v - v for v.
2
Let a(r) = 92*r - 10651. Let f be a(137). Solve -1943*p = -f*p - 70 for p.
-7
Let q(f) = f**2 - 5*f + 6. Let b(i) = -i**2 + 8*i + 19. Let s be b(10). Let o be 1 - s/(5/5). Let x be q(o). Solve x = 2*a + 2*a for a.
0
Let k(o) = -2 - o + 1 - 3 + 0*o. Let f be k(-14). Suppose -4*q = 6 - f. Solve 4 = -5*d - q for d.
-1
Let h = -8484 + 8502. Solve -453*g + 447*g = h for g.
-3
Let r(s) = 111 + 42*s - 25*s - 35*s. Let p be r(6). Solve -p*d + 32 = 20 for d.
4
Suppose 8 = -2*k + 6*k. Suppose 0 = -15*a + 36*a - 42. Solve k*w + 0 = a for w.
1
Let g = -8553 - -8570. Solve -52 = -g*o + 67 for o.
7
Suppose 3*y = 9*y - 36. Suppose -m + 3*a = 77, 0 = y*m - 3*m + 4*a + 283. Let l = m - -89. Solve 3*c - c = l for c.
0
Let c = -91 - -85. Let a be -1 - (3/(-1) + c/3). Suppose -q = -z + 8, -z + 13 = 2*q - a. Solve -1 = 4*g + z for g.
-3
Suppose 5*h - 7*y = -2*y + 6315, -5 = -y. Solve -1260*r = -h*r for r.
0
Let w = 24545 - 24405. Solve 216 = w*d - 164*d for d.
-9
Let u be 4/(3/(-9) + 125/393). Let r = u + 286. Solve -r*z = -20*z for z.
0
Let k(s) = s**3 + 38*s**2 + 151*s - 35. Let i be k(-5). Solve -10*n = 15 + i for n.
-5
Suppose 4*t - 4*c + 6*c + 42 = 0, -2*t - 3*c = 11. Let d be ((-2)/(-7))/(t/(-728)). Solve m + 11 = d for m.
5
Let w(l) = l**3 + 4*l**2 - 4*l + 5. Let c be w(-5). Suppose 2*x - 5*i + 15 = -1, 16 = 4*x + 2*i. Suppose x*k + 14 - 18 = c. Solve 2*v - k = -4 for v.
-1
Suppose 0 = 5*n - 4*n - 3*u - 6, u = -2*n + 5. Suppose -w + n = 0, 7*s - 3*s = 4*w + 4. Solve -12*c + s = 40 for c.
-3
Suppose 3*n = 2*a + 3*a - 22, 2 = -2*a + 3*n. Solve 51*o = a*o + 172 for o.
4
Suppose x = -x. Let w = -134 - -140. Suppose x = -3*m + 6 + w. Solve -m*t - 5 - 11 = 0 for t.
-4
Let z = -299 + 296. Let x be z*2/(-72) - (-812)/48. Solve x*w - 13*w = -4 for w.
-1
Let d = 7694 + -7641. Solve 60*i - 7 = d*i for i.
1
Let s be (-6)/15 - 6/(-15). Suppose s = -3*x + 9 + 6. Suppose -2*o + 25 = x*q, 4*o - 14 = -q + 3*q. Solve -2*r = -7*r - o for r.
-1
Suppo | {
"pile_set_name": "DM Mathematics"
} |
= -571.75997 + 575.76. Let r = 3.964 - -0.036. Let s = g - r. What is s rounded to five decimal places?
0.00003
Let q = 167.44873 + -93.448658. Let k = 74 - q. Round k to 5 decimal places.
-0.00007
Let w = 512.00000984 - 512. Round w to seven decimal places.
0.0000098
Let g = -26.3 - 12.7. Let m = -38.99893 - g. Round m to 4 decimal places.
0.0011
Suppose 5*c = -2*p + 1477, 0*p - 3*p = 5*c - 1478. Suppose -b - c - 305 = 0. What is b rounded to the nearest one thousand?
-1000
Let i = -32.8 - 9.2. Let b = -41.99978 - i. What is b rounded to five dps?
0.00022
Let f = -1337 + 1336.97005. What is f rounded to three dps?
-0.03
Let p(g) = -12*g**2 - 3*g + 1. Let w be p(1). Let q be (35/w)/((-10)/24). Suppose q*i = 2944 - 4. Round i to the nearest 100.
500
Let g = 535171872.999889 + -535171645. Let h = 228 - g. Round h to 4 decimal places.
0.0001
Let y be 517057/9 + 8/36. Let g = -24025 - -46574. Suppose f = -g - y. Round f to the nearest 100000.
-100000
Let a = 10220276010.9999773 + -10220276565. Let y = -554 - a. Round y to 6 dps.
0.000023
Let x = 11.74 - 13. Let a = x - -1.25838. Round a to four dps.
-0.0016
Let x(h) = -h**3 + 9*h**2 - 4*h - 7. Let q be x(8). Suppose 24*s = q*s + 2730. What is s rounded to the nearest 100?
-2700
Let n = -8.76 - -8.759999533. What is n rounded to 7 decimal places?
-0.0000005
Let t(z) = 8*z**3 - 4*z**2 - 10*z - 8. Let d be (-67)/4 - (-4)/(-16). Let o = -23 - d. Let a be t(o). Round a to the nearest 100.
-1800
Let m = -434 + 761. Suppose 4*u + 369 = -m. Round u to the nearest 10.
-170
Suppose 55*g - 19365000 = 58*g. What is g rounded to the nearest one million?
-6000000
Suppose 5*c = 15, 0*x - 4*x + 5*c + 5 = 0. Suppose -108 = -x*t + 4*r, -4*t - 2*r - 66 = -7*t. Let s be 10000/(-3)*t/16. Round s to the nearest ten thousand.
-10000
Let w = -0.10700577 - -0.107. What is w rounded to 7 dps?
-0.0000058
Let n = 0.312 + -131.312. Let h = -97884.9 - -98015.9162. Let x = h + n. Round x to 3 decimal places.
0.016
Let d = 1524994150.00000092 + -1524994183. Let o = 0.025 + 32.975. Let i = d + o. What is i rounded to seven dps?
0.0000009
Let t = 7.293 + 0.007. Let k = t - 7.30000256. What is k rounded to six dps?
-0.000003
Let a = 3228.58611 - 3183.695. Let h = -44.641 + a. Let g = -0.25 + h. Round g to 4 dps.
0.0001
Let j be (-5384)/((((-84)/(-385))/4)/15). What is j rounded to the nearest one hundred thousand?
-1500000
Let n = -7.47 + 7.5. Let m = n + -0.0314. What is m rounded to 4 dps?
-0.0014
Suppose 0 = 4*j - j - 795. What is j rounded to the nearest 10?
270
Let k = 143 - 334. Let a = k + 189.59. Round a to 1 decimal place.
-1.4
Let o = 2260 + -2265.966. Let b = 24.934 + -25. Let r = o - b. What is r rounded to zero decimal places?
-6
Let m = 0.08953 + -0.0999. Round m to four decimal places.
-0.0104
Let m = -61.973 + 62. Let x = -0.0270021 + m. What is x rounded to 6 dps?
-0.000002
Let b = -20.06 + -5.84. Round b to zero dps.
-26
Suppose -3*i - 73980 = -4*y + 2*i, -4*y - 5*i = -74020. What is y rounded to the nearest 10000?
20000
Let n = 42.19991798 - 42.2. Round n to six decimal places.
-0.000082
Let t = 12.34 + -12. Let i = -0.2 + t. Let z = i - 0.28. Round z to 1 decimal place.
-0.1
Let j = 2.4 + -3.16. Let n = -55.24 + j. Let i = n - -56.000134. What is i rounded to 5 decimal places?
0.00013
Suppose 7*t + 66880000 = -4*t. What is t rounded to the nearest 100000?
-6100000
Suppose -2*v + 0*l + 2*l - 788 = 0, -3*l = 3*v + 1194. Let c = v + 111. Let s = 175 - c. Round s to the nearest one hundred.
500
Let c = 11.36 - -0.54. Let a = -11.9000196 + c. What is a rounded to 6 decimal places?
-0.00002
Let b(w) = -782*w + 6. Suppose i + 3*i + 2*f + 18 = 0, -2*f - 10 = 0. Let y be b(i). Round y to the nearest 100.
1600
Let x = 0 - -1. Let i = -565 + 565.993. Let j = x - i. Round j to two decimal places.
0.01
Let a = -0.2003 - 6.9357. What is a rounded to one dp?
-7.1
Let h = 215 + -87. Let j = -88 + h. Round j to the nearest one hundred.
0
Let l(c) = -354*c**3 + 10*c**2 + 41*c - 30. Let t be l(-18). Suppose -3*u - 5*a = -a - t, u = 3*a + 689000. What is u rounded to the nearest ten thousand?
690000
Let o = -186 - -362. Let q = -176.000351 + o. What is q rounded to 5 decimal places?
-0.00035
Let d = -243.5734 + 244. What is d rounded to 1 decimal place?
0.4
Let r = 72 - 49. Suppose -r*l = -21*l + 874. What is l rounded to the nearest ten?
-440
Suppose 20268 + 23721 = 31*n. Round n to the nearest one hundred.
1400
Let k(f) = 9*f**3 + f**2 + 8*f - 5. Let o be k(-5). Round o to the nearest one hundred.
-1100
Let c = -472 - -496.7. Round c to 0 decimal places.
25
Let u = -8.1 + -5.9. Let b = 14.017 + u. What is b rounded to two dps?
0.02
Let v(h) = -h + 21. Let z be v(-7). Let u be 3/(-9)*z - (-16)/(-24). What is u rounded to the nearest 100?
0
Suppose -3*y = -y - o - 495, 0 = -4*y - 4*o + 1020. Let x be y*-8*158/(-8 + 6). Round x to the nearest ten thousand.
160000
Let d = 58 - 55.02. Round d to zero dps.
3
Suppose -4*f - 5*o = -69, -f = -4*o + 3 - 15. Suppose 2 = -q - f. Let t be (-4449997)/(-5) - q/30. Round t to the nearest one hundred thousand.
900000
Let s = -13353.541 - -13360. What is s rounded to one decimal place?
6.5
Suppose 7*l = 8*l - 296. Suppose 0 = 6*d - 142 - l. Round d to the nearest ten.
70
Let f = 10.676 + -10.8. What is f rounded to 2 dps?
-0.12
Let v = -17.100115 + 17.1. Round v to six decimal places.
-0.000115
Let x = 373.4500306 - -49.5504314. Let p = 423 - x. What is p rounded to 5 decimal places?
-0.00046
Suppose 127*b - 112*b - 1279500 = 0. Round b to the nearest ten thousand.
90000
Let a = -0.2156 - -0.22. Round a to 3 decimal places.
0.004
Let j = -1.2 + 1.23. Let o = -0.19 + j. Let t = -0.16005 - o. What is t rounded to five dps?
-0.00005
Let w = -14754.5 - -14754.304542. Let n = w - -0.196. Round n to 4 dps.
0.0005
Let l = 1711773 + 3038227. Round l to the nearest one million.
5000000
Suppose -d - 5*t = 4, 5*d - 20 = -0*t - 5*t. Let l = 7 - d. Let u be (-3899985)/15 - (2 - l). Round u to the nearest one hundred thousand.
-300000
Let f = -35345.067 - -35391. Let o = f + -46. Round o to 2 decimal places.
-0.07
Let f = 272048 - 272047.9369916. Let y = f - 0.063. Round y to 6 dps.
0.000008
Suppose -g - 2*r = -1653 + 214, -7125 = -5*g + 4*r. What is g rounded to the nearest 1000?
1000
Let t = 22.6 - -0.4. Let l = 22.999982 - t. What is l rounded to five dps?
-0.00002
Let t = -11163.602 + 11175. What is t rounded to the nearest integer?
11
Let z(k) = 9*k + 727*k**3 + 8 + 9*k - 15*k**2 - 20. Let u = -79 - -66. Let v be z(u). What is v rounded to the nearest one hundred thousand?
-1600000
Let u(d) = -d**2 - 10*d - 10. Let z be u(-10). Let o(w) = w + 8. Let g be o(z). Let v be g/(-8) + (-83)/(-4). What is v rounded to 0 dps?
21
Let n = 0.049 + -7.649. Let s = n + 1.2. Round s to 0 dps.
-6
Let a be ((-132555)/2)/((-7)/140). Suppose -l = 8574450 + a. Round l to the nearest 1000000.
-10000000
Let p = -27.5629 - 0.3471. Round p to 1 decimal place.
-27.9
Let f = -190.95 + 0.95. Let n = f - -190.0000251. What is n rounded to 6 dps?
0.000025
Let x = -3.03 - -1.756. Round x to 1 dp.
-1.3
Let l(n) be the third derivative of n**5/60 - n**4/3 + 11*n**3/6 + 8*n**2. Let p be l(8). What is p rounded to the nearest ten?
10
Let k = -674224 + 5226968. Let y = k - 2282744. Round y to the nearest one hundred thousand.
2300000
Suppose 0 = 4*s + 2*f - 0*f - 97762, 0 = -3*s - 3*f + 73323. Let v be (9*-28 - -2)/(13/s). What is v rounded to the nearest one hundred thousand?
-500000
Let h = 0.0317 + -0.057. What is h rounded to two dps?
-0.03
Let y = -3804770 + 2208782. Let j be y/20 - (-15)/(-25). Let u be (3 - 1)/(14/j). What is u rounded to the nearest one thousand?
-11000
Let w(o) = 61336*o**2 + 19*o - 52. Let u be w(4). What is u rounded to the nearest 10000?
980000
Let i = 24.1241142 - 0.1244742. Let h = -24 + i. Round h to 4 dps.
-0.0004
Let n = 28 + -26. Let p(f) = 39001*f - 2. Let q be p(n). Round q to the nearest ten thousand.
80000
Let l = 125 - 124.599. Round l to one dp.
0.4
Let j = 1825 + -1001. Let s = 1574 - j. Round s to the nearest one hundred.
800
Let o = 409 + -441.84. Let d = 9.46 - o. What is d rounded to 0 decimal places?
42
Let k = 34.472 + -3.812. Let h = -0.071 - -30.071. Let r = h - k. Round r to one dp.
- | {
"pile_set_name": "DM Mathematics"
} |
e -n = -16*w + 7956. What is the tens digit of w?
3
Suppose 5 = 5*t, -1713*z - 2*t + 13322 = -1710*z. What is the tens digit of z?
4
Let p = 47 - 43. Suppose -p*b = -5*l + 20, 4*b = 3*l - 15 - 5. What is the units digit of (-1896)/(-28) - l - 4/(-14)?
8
Let l(y) = -6*y - 5 - 16 - 3 - 17*y. Let k(h) = h**2 + 28*h + 18. Let g be k(-27). What is the tens digit of l(g)?
8
Let f(i) = 7757*i - 4420. What is the ten thousands digit of f(4)?
2
What is the hundreds digit of (-3)/21 - (0 - (-805528)/(-119))?
7
Let q(v) = 2*v**3 + 109*v**2 - 9*v - 168. What is the tens digit of q(-52)?
2
Let y(x) = x**3 + 20*x**2. Let f be y(-20). Suppose n + 76 - 81 = f. Suppose 0 = n*h - 3*h - 126. What is the units digit of h?
3
Let f(x) = -32*x - 5. Let z(y) = 32*y + 7. Let s(t) = 3*f(t) + 4*z(t). What is the tens digit of s(18)?
8
Let t = 66 + 475. Let k = 1049 - t. What is the hundreds digit of k?
5
Let r(t) = -773*t - 137. Let v be r(-4). What is the hundreds digit of v*((-171)/(-27) + -6)?
9
Let n be (41/(-82))/((-2)/16). Suppose u = 216 + 132. Suppose 5*p + 21 - 420 = -4*f, -4*p = -n*f - u. What is the units digit of p?
3
Let q be 3*(-20)/4*(-114)/10. Let c = q - -26. What is the units digit of c?
7
Let b(m) = 4*m + 114. Suppose -236 - 226 = -22*a. What is the hundreds digit of b(a)?
1
Let h = -5540 - -2748. Let n be h/(-20) + (-4)/(-10). Suppose -2*d + n = -56. What is the tens digit of d?
9
Let b(t) = 9*t**3 - 2*t - 1. Let i be b(2). Suppose x - j + 106 - 165 = 0, 5*x - 323 = -2*j. Let c = x + i. What is the hundreds digit of c?
1
Let v(b) = 7*b**2 - 5*b - 7. Let k be (2 + 3)/5 + -3. Let z be v(k). Suppose 32*j - 253 = z*j. What is the units digit of j?
3
Let u = 0 + 1. Let q(i) = 8*i + 2. Let h be q(u). Suppose 200 = 5*w - h. What is the tens digit of w?
4
Let p be (-10)/(-4) - 13/26. Suppose 3*w - p*g = 837, 0 = -2*g - g - 9. What is the tens digit of w?
7
Let i = 46 - -3. Suppose 0 = -5*z - 3*z + 608. Suppose i = 5*j - z. What is the tens digit of j?
2
Suppose 4*d = -3794 + 32342. What is the hundreds digit of d?
1
Suppose -24*v + 132734 = -51466. What is the hundreds digit of v?
6
Let x = 381 - 375. Suppose -5 = -5*r, -4*c = -x*c - 5*r + 1639. What is the tens digit of c?
1
Let o be (27/6)/((-2)/52). Suppose z - 43 - 174 = 0. Let u = o + z. What is the tens digit of u?
0
Let d(q) be the second derivative of -4*q**3/3 + 94*q**2 - 3*q - 5. What is the hundreds digit of d(0)?
1
What is the tens digit of 1/6 - ((-4406710)/84)/55?
5
Suppose 38 = -2*i + 42. Suppose i*o + 218 = -4*v + 8*v, -5*o - 97 = -2*v. What is the units digit of v?
6
What is the units digit of 34/(8 + (-21675)/2710)?
8
Let u be (-98)/(-12) + (-2)/12. Suppose u*s - 12 = 6*s. Suppose -7*l + 80 = -s*l. What is the units digit of l?
0
Suppose 141*q + 6166734 = 547*q. What is the thousands digit of q?
5
Let l = 29 - 24. Suppose 2*n = 4*v + 4472, -l*n + 4*n = 3*v + 3364. What is the hundreds digit of (9/(-6))/(12/v)?
1
Suppose -4*s - 8 = 4*x, -3*x = 4*s + 1 + 7. Suppose x = -5*z - 7 - 3. Let o = 133 + z. What is the units digit of o?
1
Let b(p) = 101*p**2 - 2*p - 1. Let h(c) = 506*c**2 - 12*c - 5. Let s(l) = 11*b(l) - 2*h(l). What is the tens digit of s(-1)?
9
Let l(z) = z**2 - 11*z + 12. Let h be l(6). Let b = h - -22. Suppose -579 = -3*u - 2*f, b*f = 2 + 10. What is the hundreds digit of u?
1
Let q(g) = 9*g + 14. Let j(d) = -10*d - 12. Let k(o) = 5*j(o) + 4*q(o). Let x(n) = -2*n. Let m be x(2). What is the units digit of k(m)?
2
Let f(n) = 21*n**3 - n. Let v be f(1). Let h be 2/(-5) + v/50. Suppose h = 2*q + 13 - 77. What is the units digit of q?
2
Suppose 19*u + 1374 = 2*p + 21*u, 0 = 5*p + 3*u - 3445. What is the units digit of p?
2
Let w = 12 + -6. Let f(v) = v**3 + 31*v**2 + 62*v + 139. Let c be f(-29). Suppose 0 = w*r - c - 25. What is the units digit of r?
8
Let l = 2648 + 240. What is the tens digit of l?
8
Let d(q) = 4 + 684*q + 31 - 777*q. What is the hundreds digit of d(-8)?
7
Let q(f) = 1019*f**2 + 151*f - 608. What is the units digit of q(4)?
0
Let y = -476 + -203. Let h = y + 1169. What is the tens digit of h?
9
Let z = 338 - 338. Suppose 47*k - 11*k - 7848 = z. What is the hundreds digit of k?
2
What is the units digit of 35/2*136200/125?
8
Suppose -48*p = -52*p + 8. Suppose m - 50 = 5*d, -m = -p*d - 22 - 19. What is the tens digit of m?
3
Suppose -335*a - 3889436 + 12520969 = -2833507. What is the ten thousands digit of a?
3
Suppose -197*d + 198*d = -3*u + 30637, -3*d + 20427 = 2*u. What is the tens digit of u?
1
Suppose 6*t = 7*t - k - 8403, 2*t - 4*k = 16818. What is the tens digit of t?
9
Let u(s) = s**2 + 566. Let i(z) = 20*z + 240. Let x be i(-12). What is the units digit of u(x)?
6
Let p(j) = -21*j - 186. Let o be p(-17). Let l = 155 + o. What is the hundreds digit of l?
3
Suppose 44*h + 0 = 132. Suppose -5*r = -5*s + 985, -7*s + 3*s = -h*r - 788. What is the hundreds digit of s?
1
Let k = 499 - 364. Suppose -138*m = -k*m - 2220. What is the tens digit of m?
4
What is the units digit of 6 + (448034/22 + 1 - (-264)/(-1452))?
2
Suppose 0 = 6*o - 9*o + 5*m + 515, 0 = -o - 4*m + 166. Let i = o + 641. What is the hundreds digit of i?
8
Let t(x) = 921*x**3 - 8*x**2 + 47*x - 45. What is the units digit of t(3)?
1
Let u = -69 + 7. Let k = 74 + u. What is the hundreds digit of k/(-54) + (-2812)/(-18)?
1
Let p(m) be the second derivative of 4*m**4/3 - 37*m**3/6 + 125*m**2/2 - 2*m - 58. What is the units digit of p(4)?
3
Let n(q) = -q**3 - 7*q**2 - 8*q - 22. Let m be n(-9). Let p = m + 78. What is the hundreds digit of p?
2
Let l(p) = -3*p - 13. Let c be l(-6). Suppose 11*f = 165 + 7689. Suppose -c*j = -3*j - 5*u - 281, -5*j + u = -f. What is the units digit of j?
3
Let r = -42 - -47. Suppose u - 10 = -r*s, -5*s - 20 + 55 = -4*u. What is the tens digit of -3 - (1 - (16 + s))?
1
What is the hundreds digit of ((-78610)/28)/(8/(-32))?
2
Let y(k) be the third derivative of -k**4/8 + 14*k**3/3 + 37*k**2 + 2*k. What is the tens digit of y(4)?
1
Let o be 6/(-4) + (-13)/((-104)/924). What is the tens digit of (o/5)/(6*(-4)/(-60))?
5
What is the hundreds digit of 85005/35 - 185/259?
4
Let b(w) = -w**3 - 17*w**2 - 16*w + 24. Let p be b(-19). Let v = 1594 - p. What is the hundreds digit of v?
5
Suppose n - 2*m + m - 6115 = 0, 18329 = 3*n + 5*m. What is the units digit of n?
3
Let y be ((-12)/(-24))/((-1)/(-14)). Let r = y + -5. Suppose -3*c + 84 = -r*c - 3*u, 0 = -c + 4*u + 82. What is the tens digit of c?
9
Suppose 3*o - 728 = -5*r, o + 5*r - 243 = -17. Let q = -219 + o. What is the tens digit of q?
3
Suppose -5*h + 2522 = 4*m, 20*m = 24*m + h - 2514. Suppose 0 = p + v + 3*v - m, -3*p + 1944 = -3*v. What is the hundreds digit of p?
6
Let r be 3/4 - (-1002069)/36. Suppose -22*y = 864 - r. What is the units digit of y?
6
Let f(p) = -p**3 - 2*p - 52. Let n be f(0). Let a = n - 10. Let m = a + 127. What is the units digit of m?
5
Suppose 29 - 17 = -6*m. Let n(u) = -168*u - 7. What is the units digit of n(m)?
9
Let g(r) = r**2 + 2*r - 1. Let a(m) = 5*m**2 - 16*m. Let c(k) = a(k) + 2*g(k). What is the hundreds digit of c(9)?
4
Suppose 2*b + 1489 = 3*z - 1626, 2*z - 2*b = 2078. Let u = z + -381. What is the hundreds digit of u?
6
Let g = 1757 - 1051. What is the tens digit of g?
0
Suppose 11*z - 58 - 140 = 0. Let n(x) be the third derivative of -x**5/60 + 23*x**4/24 - 13*x**3/3 - 7*x**2. What is the tens digit of n(z)?
6
Let f(v) = -v**3 - 5*v**2 - 5*v. Let j be f(-4). Let w be 16 + -13 + j*8. Let b = w + -4. What is the units digit of b?
1
Suppose -129*x + 35795 = 5*o - 126*x, -2*x + x = 0. What is the hundreds digit of o?
1
Suppose 77*g - 71*g = -36. What is the tens digit of (24156/(-88))/(g/16)?
3
Let k(p) = 2*p - 8. Let v be k(2). Let y(a) = -44*a - 36. Let s(o) = -15*o - 12. Let q(i) = 10*s(i) - 3*y(i). What is the tens digit of q(v)?
6
Suppose -5*a = -0*t + t - 2893, -2*t + 5786 = 4*a. Suppose t = 4*s + 3*o, -5*s = -4*o + 5*o - 3619. What is the tens digit of s?
2
Let q(u) = -25*u - 11*u + 14*u - 19*u - 87. What is the tens digit of q(-7)?
0
Let u(i) = 213*i**2 - 356*i - 14. What is the tens digit of u(-7)?
1
Let x = -206 - -110. Let f = 219 + -20. Let y = f + x. What is the tens digit of y?
0
Suppose 155*x = 148*x + 14. Suppose -153 = -x*a + 71. What is the tens digit of a?
1
Let s(r) = -r | {
"pile_set_name": "DM Mathematics"
} |
. Let r be i(3). Let v be -1*(0 - -1)*-3. Solve 2*k - v*k - b = r for k.
-4
Let g be (-10)/50 - 78/10. Let n be -1*(4 + (g - 1)). Suppose -4*o = 5*s - 3*s + 12, 2*s - n*o - 33 = 0. Solve -u - s*u - 25 = 0 for u.
-5
Let h be 0/(20/4 - 6). Let j be -3 + (-3 - -5) + h/(-1). Let g be 4 + j + -4 + 3 + -2. Solve 2*m + 1 - 3 = g for m.
1
Suppose -5*b + h = -960, -7*h + 2*h + 1344 = 7*b. Solve -b = 6*v + 58*v for v.
-3
Suppose 20 = 4*f, -17*m + 15*m = -5*f - 7. Solve -56*o + 64*o = m for o.
2
Let a be 7*(5/15)/(4/6)*2. Let h(i) = -i**3 - 5*i**2 + 5*i - 2. Let t be h(-6). Solve g = -a + t for g.
-3
Suppose 4*z - 20 + 10 = 3*i, -17 = 3*i - 5*z. Solve -3*p = i + 12 for p.
-6
Suppose 3*p + 95 = 2*w, -2*p + p = -4*w + 35. Let c = p - -61. Suppose -134*i - c = -137*i. Solve i = -3*j - 2 for j.
-4
Let j(q) = -3*q + 15. Let k be j(3). Let d be k - -18*6/12. Solve -z + 6*z = -d for z.
-3
Suppose -2*j = -3*q - 3*j + 12, 2*j = q + 3. Suppose -3*k + 4*t + 23 = -30, 5*t - 35 = -q*k. Let r be 2/(-1*(-6)/k). Solve 5*g + 15 = -r for g.
-4
Let v be (2/3 - 0)/(7/21). Suppose v*c = -n, 2*c + 2 = -c - 2*n. Solve -3*a = c*a - 20 for a.
4
Suppose -38 = 28*g - 1061 - 461. Solve 27*b + g = -55 for b.
-4
Let m(f) = f**3 - 34*f**2 + 34*f - 15. Let h be (-66)/(-44) - (-126)/4. Let c be m(h). Solve z - 13 + c = 0 for z.
-5
Let r be 3 + -3 - (-2 - -8). Let k(i) = i**2 + 6*i + 6. Let p be k(r). Let v be ((-4)/10)/(p/(-30)). Solve -l - v = 1 for l.
-3
Let v = 68 - 69. Let u be 10/((3 + -4)*v). Suppose -4*p - w = -u, p + w + 4 = 4*w. Solve 0 = -a - p*a + 15 for a.
5
Let r(v) = v**2 - 6*v + 6. Let s be r(6). Let m(d) = -21*d - 1170. Let l(q) = 4*q + 235. Let h(g) = -24*l(g) - 5*m(g). Let p be h(-23). Solve b - s = p*b for b.
-3
Suppose 3*w + 1 = 2*w, 0 = -4*u - 5*w - 17. Let x be (-6 - u)/((-6)/4). Solve -5*i = -7*i - x for i.
-1
Let c = 927 + -327. Let f = 605 - c. Solve 2*h - 7*h = f for h.
-1
Let a be (14/63 - (-38)/(-9)) + 4. Let f be -30*(4 + 52/(-12)). Suppose 5*o - f = 0, 22 = 4*z + o + 4. Solve 4*d + 0*d - z = a for d.
1
Let k be (-10)/55 - -2*2/22. Suppose z - 4 = 0, -5*g + k*z + 54 = z. Solve 7*u = g*u + 12 for u.
-4
Let g = -17630 - -21064. Solve -7*x - 3427 = -g for x.
1
Suppose -2*c = -5*m + 3*c - 110, 0 = 2*m - 5*c + 44. Let u(r) = -25*r - 525. Let y be u(m). Suppose 3*s - 6 = 3. Solve -y = -8*d + s*d for d.
5
Suppose -5*t + 274 = -4*v - 7*t, -208 = 3*v + 4*t. Let g = 119 + -51. Let f = v + g. Solve c + f = 1 for c.
1
Let v be 2*-52 + -12*6/(-18). Let p = 115 + v. Suppose -4*s + 10 = -2*u, -3*s - 3*u = -2*s + p. Solve -4*z + 0 - 4 = s for z.
-1
Let x(h) = -h**3 + 19*h**2 - 17*h - 10. Let a be (-32)/(-2) + (0 - -2). Let o be x(a). Suppose 2 - o = -3*l. Solve -j = l*j + 12 for j.
-4
Suppose -10*x + 110 - 40 = 0. Let f(a) = a**3 - 5*a**2 - 14*a - 5. Let z be f(x). Let k be 12/3 + -6 - z. Solve 3*q - k = -0 for q.
1
Let d be (-24)/(-30) - (-1924)/20. Let f(n) = -7*n + 303. Let p be f(30). Solve -d*x + 8 = -p*x for x.
2
Let t(x) = -2*x**2 + 23*x + 8. Let i(q) = -q**2 + 23*q + 7. Let m(p) = 3*i(p) - 2*t(p). Let v be m(-27). Let s = v + -106. Solve -3*k + s*k = 0 for k.
0
Let j(d) = -d**2 - 11*d + 28. Let k be j(-13). Suppose -2*u = 4*c - 8, -32 = -k*u - 3*u + 2*c. Solve 15 = u*m - m for m.
3
Let d be 4/(-6)*(-27)/6. Suppose 19083*q - 19087*q + 48 = 4*y, 5*y + 2*q = 87. Solve -d*o - 9 = -y for o.
4
Let g(y) = -91*y + 1015. Let x be g(11). Solve -x*s = -7 + 35 for s.
-2
Let w be (-1)/((-3)/(-2) - 2). Let f = -80026 + 80032. Solve f = -t - w*t for t.
-2
Let i(l) = 22*l**2 - 3*l - 10*l**2 - 6 + 4 - 8*l**2 + l**3. Let m be i(-4). Solve 2*q - m = -0*q for q.
5
Suppose 0 = -j + 2*w + 14, -j + 1 = -3*w - 19. Suppose 4*u = 5*r - 9, -4*u + 7*u - 2 = 2*r. Solve -j*g - 12 = u*g for g.
-2
Let p = 3098 - 2573. Solve 21 + p = 78*c for c.
7
Suppose -24*b + 556 - 206 = -322. Solve 23*l - b = 18 for l.
2
Let o be 0*((-840)/50 - -17). Solve o = 19*z - 15 + 148 for z.
-7
Let g(s) = 7*s + 51. Let p be g(-7). Suppose 0 = -31*k + 40*k - 180. Solve -6*v = -p*v + k for v.
-5
Let i be ((-3)/2)/(6/(-8)). Suppose -2*c + 4 = -i*j, 11 = 3*c - 0*j + 2*j. Suppose -5 = c*b - 8*b + 5*m, 0 = -3*m + 15. Solve 0 = -b*k + k for k.
0
Let c be (-33136)/(-66) - (-306)/(-5049). Solve 0 = 497*d - c*d + 15 for d.
3
Suppose 7*d = -2*y + 66, -4*y = y + d - 132. Solve -24 - y = -25*t for t.
2
Let d = -218 + 369. Suppose -35*b = -269 - d. Solve b*l + 4 = 10*l for l.
-2
Let i be 11/((-2516)/180 + 14). Solve -i = -51*k - 4*k for k.
9
Let g be 1/7*(9 + 12/(-30)*5). Solve 5*r + 26 - g = 0 for r.
-5
Suppose 232*n - 271*n + 22659 = 0. Solve -473 = 18*a - n for a.
6
Let o(y) = -9*y + 47. Let n be o(5). Suppose -3 = -n*x + 7. Solve -x = -2*h - 3 for h.
1
Let r be (-32)/(-10) - 8/40. Suppose 4*v + i = -2, 6 = -7*v + 3*v - r*i. Solve 5*x - 4*x - 5 = v for x.
5
Let q(g) = 27*g + 603. Let t be q(-21). Solve 0 = -44*d - t*d for d.
0
Let w(i) = i**3 - i**2 - 3*i + 2. Let u be w(2). Let d(f) = 6 + 2*f**2 - 8*f + 16*f - f**2 - 7*f. Let t be d(u). Solve -r + t = 2 for r.
4
Let n = -302 - -305. Suppose -5*b + n = 2*y, 8 = 3*y - 0*b + 4*b. Solve 0 = y*d - 19 + 3 for d.
4
Suppose -58*k + 169*k - 896 = 83*k. Solve -k*m = -3*m + 261 for m.
-9
Suppose 4*x - 20 = -5*j, 2*j - 3*x - 15 + 7 = 0. Solve 6*i - j = 4*i for i.
2
Let v(s) = -4*s + 63. Let x be v(22). Let t(z) = 3*z**2 - 25 - 2*z**2 + 10*z + 14*z. Let d be t(x). Solve h = -d*h for h.
0
Let d(t) = -t**3 + 3*t**2 + 4*t + 2. Let w be d(4). Suppose 149*v - 2501 = -2203. Solve w*q = 4 - v for q.
1
Suppose 5*q - 5*f = 164 + 131, 5*q - 3*f = 289. Solve q*s = 72*s for s.
0
Let s be (-2)/(-3) + 0 - 17922/(-522). Solve 0 = 33*c + s + 31 for c.
-2
Let v = 9961 - 9949. Solve -v*g - 4 = 32 for g.
-3
Suppose 10 = -3*s + 2*c, -4*s + 5*c + 5 = 30. Solve s = -32*l + 25*l for l.
0
Let l(r) = 8*r**2 - 6*r**2 - 27 - 4*r**2 - 31*r. Let u be l(-14). Solve 3*m = 6*m + u for m.
-5
Let p = 5103 - 4940. Solve 171 = -2*y + p for y.
-4
Suppose 0 = 18*p - 29*p + 195 + 69. Solve p*s + 105 = 9*s for s.
-7
Suppose -56030 = -137*m - 15341. Solve -12*r + 249 = m for r.
-4
Let m be ((-89424)/1863)/((-6)/4 - 0). Solve 0 = m*p - 39*p - 7 for p.
-1
Suppose q - 22 = -11*w + 6*w, -20 = -4*q - 3*w. Let g be (-147)/(-35) + q/(-10). Solve -3 = g*f + 13 for f.
-4
Let i be (9 + (-1391)/156)*3156. Solve -43*k + 48 - i = 0 for k.
-5
Suppose -42*y - 299 = 23*y - 2509. Solve 8 = 42*w - y*w for w.
1
Let y = -208 - -344. Solve -u + 134 = y for u.
-2
Let t be (-234)/15*(-1)/(5 + 329/(-70)). Solve 184 - t = -22*g for g.
-6
Suppose 4*d + 186 = -2*h + 296, -4*d + 107 = h. Solve d*p = 43 + 9 for p.
2
Suppose 301*k - 327*k + 616 = 148. Solve k*g + 91 = -53 for g.
-8
Suppose 2*t - 19 = -5*l - t, -5*t + 17 = l. Let b = -77 - -34. Let x = b - -47. Solve -4*q + x = -l*q for q.
2
Suppose -5*v - 6*b = -23, -7*v + 8*v + 2*b = 3. Solve -v*t + 25 = -12*t for t.
-5
Suppose 0 = -o - l + 7, 5*o - 3*l - 19 = -0*l. Let w = 27 - 18. Let r(p) = -p**3 + 68*p**2 + 293*p - 5678. Let x be r(71). Solve -o*n = -x*n + w for n.
-3
Suppose -5*g - 13 = 4*l - 31, 0 = 3*g - 6. Let o be (0 - l/(-4))*0. Let f = 122 - 118. Solve o = -0*q + q + f for q.
-4
Suppose 4 = -4*t - 3*x, -t + 4*x + 18 = -0*t. Solve -t*i + 83 = 91 for i.
-4
Let s(m) = 16 - 2*m + 2 + 6 - 20*m + m**2. Let t be s(21). Suppose -t + 13 = 2*k, -4*w = 2*k - 34. Solve w = -b + 1 for b.
-5
Suppose -15*p + 12*p = 48. Let w be (1 - 1) + 20*p/(-40). Solve -w*x = -10*x + 10 for x.
5
Let l = 277 + -272. Solve l*k - 24 = -4 for k.
4
Suppose 2*n = n + 4. Let w = 7 - 1. Suppose -z = n*h - 18, 3*z - 2*z + w = 2*h. Solve -h*d = 3 + 1 for d.
-1
Let u(o) = o**2 + o - 1. Let d(t) = t**3 - 10*t**2 + 2*t - 21. Let m(l) = d(l) - u(l). Let z be m(11). Let a be 23/46 - (1 - z/(-2)). Solve -b = -a*b + 9 for b.
3
Suppose 281 = -3*w - g, 0*w - 5*w + 2*g = 483. Let i = 98 + w. Solve -2*f = -i*f + 5 for f.
5
Let i = -344 - -464. Suppose 0 = -20*m + 14*m + i. Solve 0 = -w + 6*w + m for w.
-4
Let h be -1 - 29/(957/(-30)) - 860/(-22). Solve 34*u + 5 = h*u for u.
1
Let i be (-41*(-1)/4)/((-192)/768). Let w = 76 + i. Solve 16 = -w*u + 31*u for u.
-4
Suppose -90*n + 918 = 378. Solve -j + n*j + 10 = 0 for j.
-2
Let b be (-22)/(-2) - (43 - 1258/37). Solve 13*h + 90 = -b*h for h.
-6
Suppose 4205*l = 4210*l - 10. Solve 2*r + l = 12 for r. | {
"pile_set_name": "DM Mathematics"
} |
) = 10*w - 194. Calculate d(-32).
-514
Let k(s) = -3*s**3 + 182*s**2 + 269*s - 1303. Calculate k(62).
-1
Let n(h) = -2*h**3 - 5*h**2 - 5*h - 32. Give n(-5).
118
Let l(y) = -3*y**2 + 859*y - 2834. Determine l(283).
-4
Let f(w) = -1207*w + 2539. Give f(2).
125
Let p(d) = -2*d**2 + 30*d + 463. What is p(-10)?
-37
Let j(h) = -2*h**3 + 11*h**2 + 2*h - 23. Give j(5).
12
Let v(g) = 187*g**3 + 1. Determine v(-1).
-186
Let d(t) = -418*t - 406. Calculate d(-1).
12
Let u(h) = 14*h**2 - 94*h - 22. Give u(7).
6
Let t(r) = 2*r**2 - 20*r + 83. Determine t(13).
161
Let k(f) = 79*f + 3241. Give k(-38).
239
Let h(i) = -26*i**3 - 3*i. Calculate h(1).
-29
Let r(i) = -8*i**2 - 16*i + 4. Calculate r(-3).
-20
Let n(f) = 6*f**2 - 191*f + 222. Give n(30).
-108
Let d(o) = -o**2 + 80*o - 757. Determine d(11).
2
Let i(y) = y**3 - 20*y**2 - 19*y - 59. Calculate i(21).
-17
Let b(h) = -4*h**3 + 460*h**2 + 2*h - 169. What is b(115)?
61
Let l(q) = -34*q**2 - 33*q - 38. Calculate l(-1).
-39
Let i(z) = -2*z**3 + 15*z**2 + 8*z - 9. What is i(7)?
96
Let i(o) = 3*o**2 - 6*o + 82. Give i(7).
187
Let b(g) = -4*g**3 - 6*g**2 - 53*g - 359. Calculate b(-6).
607
Let u(j) = 9*j - 172. Calculate u(19).
-1
Let d(y) = 10223*y + 61356. Determine d(-6).
18
Let t(y) = y**2 + 8*y - 58. Give t(-17).
95
Let z(w) = 11*w + 50. Calculate z(15).
215
Let b(w) = -77*w - 382. Determine b(-5).
3
Let l(p) = 121*p - 1220. Determine l(10).
-10
Let u(s) = 2*s**2 + 146*s + 545. Give u(-4).
-7
Let k(p) = -p**2 - 88*p - 1705. Determine k(-29).
6
Let g(v) = -6*v**2 + 487*v - 486. Calculate g(1).
-5
Let x(r) = 11*r**2 - 3*r + 9. What is x(2)?
47
Let t(r) = r**3 + 37*r**2 - 163*r - 3. Give t(4).
1
Let s(d) = -13*d**2 + 83*d + 26. What is s(7)?
-30
Let c(g) = -26*g**2 + 185*g - 10. Give c(7).
11
Let l(m) = 14*m**2 + 16*m - 37. What is l(2)?
51
Let g(o) = 209*o + 106. Give g(-2).
-312
Let j(s) = -s**3 + 10*s**2 + 8*s + 92. What is j(11)?
59
Let m(l) = l**3 - 115*l**2 - 358*l + 474. Give m(118).
2
Let s(r) = -r**3 + 4*r**2 - 5997*r + 36061. Give s(6).
7
Let t(p) = 9*p**2 - 101*p + 1. Calculate t(11).
-21
Let c(g) = -11*g + 147. Calculate c(13).
4
Let a(y) = y + 55. Calculate a(-65).
-10
Let i(x) = -3*x**2 - 8*x + 1008. Calculate i(20).
-352
Let c(s) = 247*s - 1542. Give c(6).
-60
Let f(h) = -4*h**2 - 96*h - 187. What is f(-22)?
-11
Let b(n) = 112*n - 51. Give b(3).
285
Let b(w) = -2*w**2 + 22*w - 47. What is b(5)?
13
Let y(o) = 25*o + 16. What is y(5)?
141
Let f(h) = 6*h**2 - 46*h - 63. Give f(8).
-47
Let s(g) = -19*g**2 + 16*g - 3. Calculate s(1).
-6
Let m(u) = -u**3 + 5*u**2 + 281*u - 568. Determine m(2).
6
Let z(w) = 3587*w - 82500. What is z(23)?
1
Let j(y) = -2080*y + 31222. Calculate j(15).
22
Let u(x) = -9*x**2 - 22*x + 26. Give u(6).
-430
Let y(r) = -r**3 - 10*r**2 + 26*r + 258. What is y(-5)?
3
Let a(t) = 13*t**3 + 3*t**2 + 74*t - 76. Determine a(1).
14
Let s(x) = x**2 - 29*x + 108. Determine s(25).
8
Let o(k) = -k**2 + 42*k - 237. Give o(24).
195
Let t(z) = -4*z**2 + 21*z + 14. Calculate t(6).
-4
Let u(z) = z**2 + 18*z - 65. What is u(14)?
383
Let d(x) = 444*x - 120324. Determine d(271).
0
Let g(x) = -82*x + 2780. Give g(34).
-8
Let c(x) = -28*x**2 - 254*x - 62. Calculate c(-9).
-44
Let x(q) = -566*q - 560. Calculate x(-1).
6
Let m(n) = 450*n + 4511. Determine m(-10).
11
Let w(g) = g**2 - 14*g - 196. What is w(22)?
-20
Let r(n) = n**3 + 40*n - 74. Calculate r(0).
-74
Let j(o) = 63*o + 4848. Calculate j(-77).
-3
Let h(s) = -2*s**2 - 21*s - 26. Give h(-3).
19
Let p(v) = v**2 - 20*v - 59. Determine p(30).
241
Let i(h) = -2*h**3 - 62*h**2 + 73*h - 68. Calculate i(-32).
-356
Let d(s) = 69*s + 1291. Give d(-18).
49
Let j(p) = -8*p + 142. Give j(39).
-170
Let s(u) = u**2 + 119*u + 981. What is s(-9)?
-9
Let k(p) = -p**3 + 8*p**2 - 35*p - 27. Calculate k(6).
-165
Let n(y) = -4*y**3 + 13*y**2 + 64*y + 22. Calculate n(-5).
527
Let p(m) = 333*m + 312. Give p(-1).
-21
Let d(n) = -4*n**2 + 1910*n - 9454. Give d(5).
-4
Let q(c) = -2*c**2 + 3*c + 95. Calculate q(8).
-9
Let p(s) = -472*s + 2845. Determine p(6).
13
Let h(a) = -5*a**2 + 54*a - 145. Calculate h(6).
-1
Let c(h) = 5*h**3 + 77*h**2 + 33*h + 54. Calculate c(-15).
9
Let z(m) = 26*m - 828. Calculate z(36).
108
Let f(p) = -p**3 + 4*p**2 + 9*p + 83. Determine f(7).
-1
Let n(c) = -c**3 + c**2 - c - 19. Determine n(5).
-124
Let l(y) = 4*y**2 + 39*y - 88. Calculate l(2).
6
Let f(d) = -4*d**2 + 375*d - 755. What is f(92)?
-111
Let a(b) = 2*b - 159. What is a(-9)?
-177
Let s(p) = -54*p + 505. What is s(6)?
181
Let r(x) = -7*x**2 + 1900*x - 8276. Calculate r(267).
1
Let m(o) = -5860*o - 5848. What is m(-1)?
12
Let k(a) = a**3 + 9*a**2 + 39*a + 8. Determine k(-4).
-68
Let j(m) = 4*m - 10. What is j(5)?
10
Let k(q) = 2*q**3 - 68*q**2 + 7*q - 229. Give k(34).
9
Let t(r) = -14*r + 450. What is t(7)?
352
Let t(u) = 4*u**3 - 30*u**2 - 12*u - 5. Calculate t(8).
27
Let d(y) = -19*y**2 + 489*y + 135. What is d(26)?
5
Let r(v) = 126*v + 446. Determine r(-4).
-58
Let s(x) = -x**3 - 20*x**2 - 13*x + 140. Give s(-21).
854
Let o(j) = -142*j + 2854. What is o(20)?
14
Let p(a) = -a**3 + 84*a**2 + 13620*a - 1324. Calculate p(166).
4
Let c(g) = 28*g + 228. Calculate c(-7).
32
Let w(p) = 19*p + 661. Calculate w(-35).
-4
Let f(y) = -160*y - 3412. Give f(-21).
-52
Let l(i) = 62*i + 109. Determine l(-1).
47
Let y(h) = -h**2 - 38*h - 366. What is y(-18)?
-6
Let h(d) = d**2 + 54*d - 178. Determine h(3).
-7
Let w(a) = -5*a**3 - 300*a**2 + 4*a + 251. What is w(-60)?
11
Let y(h) = -2*h**3 - 11*h**2 - 15*h - 40. Determine y(-6).
86
Let b(a) = 3*a**3 - 104*a**2 + 60*a + 282. Give b(34).
10
Let a(v) = 3*v**2 + 100*v + 813. Calculate a(-19).
-4
Let p(x) = 5*x**2 + 161*x + 40. Calculate p(-32).
8
Let d(x) = x**3 - 50*x**2 + 51*x - 101. Determine d(49).
-3
Let z(n) = n**2 + 46*n + 481. Calculate z(-13).
52
Let a(u) = -415*u + 16610. What is a(40)?
10
Let v(a) = a**2 + 13*a - 31. Determine v(-15).
-1
Let t(q) = 5*q**2 - 33*q - 98. Determine t(-3).
46
Let z(w) = -204*w + 1804. Determine z(8).
172
Let q(i) = -i**3 + 9*i**2 - 7*i + 10. Give q(8).
18
Let a(g) = -42*g + 4166. What is a(99)?
8
Let w(r) = -277*r + 11081. Calculate w(40).
1
Let c(f) = -64*f**2 - 964*f + 1. Give c(-15).
61
Let u(w) = -w**3 - 185*w**2 - 6398*w - 548. Determine u(-139).
8
Let f(z) = -15*z**3 + 11*z**2 + 6*z - 2. Calculate f(-2).
150
Let d(n) = -3*n**3 - 18*n**2 - 7*n - 18. Give d(-6).
24
Let b(u) = -2*u**2 - 12*u + 89. Determine b(5).
-21
Let o(y) = -8*y**3 + 34*y**2 - 13*y + 29. Calculate o(4).
9
Let a(b) = -b**3 - 63*b**2 - 5*b - 332. Give a(-63).
-17
Let k(g) = 469*g - 26. Give k(-1).
-495
Let u(x) = 2*x**2 - 43*x + 236. Determine u(14).
26
Let j(p) = p**3 + 7*p**2 + 4*p + 99. Give j(-8).
3
Let d(t) = -130*t**2 - 642*t + 33. Calculate d(-5).
-7
Let g(s) = -s**3 - 4*s - 11. Give g(-3).
28
Let q(i) = -2*i**2 - 47*i - 75. Give q(-21).
30
Let s(d) = 234*d + 62251. Determine s(-266).
7
Let p(x) = 3*x - 205. Calculate p(6).
-187
Let y(b) = 3138*b + 65896. Calculate y(-21).
-2
Let i(t) = 4*t**2 + 18*t - 26. Determine i(-7).
44
Let b(t) = -5*t**3 + 91*t**2 - 6*t - 65. Determine b(18).
151
Let j(l) = l**2 - 9*l - 11. Calculate j(14).
59
Let m(p) = -35*p - 7. Give m(1).
-42
Let p(t) = 60*t + 1563. Give p(-26).
3
Let m(c) = -c**2 + 10*c + 82. Calculate m(22).
-182
Let r(o) = 38*o**2 + 667*o + 128. Calculate r(-17).
-229
Let b(o) = 117*o - 99. Give b(-2).
-333
Let r(s) = s**3 + 9*s**2 + 4*s + 19. What is r(-6)?
103
Let m(g) = 35*g + 1877. Determine m(-26).
967
Let q(z) = 5*z**3 - 14*z**2 - z + 1. What is q(6)?
571
Let z(g) = g**3 + 32*g**2 - 371*g - 93. Give z(-41).
-11
Let l(c) = 8*c**3 - 35*c**2 + 12*c - 14. Give l(4).
-14
Let x(f) = -f**3 - 20*f**2 + 23*f + 44. Determine x(-21).
2
Let r(h) = h**2 + 1067*h + 41084. What is r(-40)?
4
Let v(u) = 3*u**3 + 18*u**2 + 28*u + 130. Calculate v(-7).
-213
Let u(a) = -a**2 + 39*a - 104. Give u(34).
66
Let m(t) = -36*t**2 + 113*t + 217. What is m(-2)?
-153
Let y(x) = 292*x + 9485. What is y(-33)?
-151
Let q(c) = -39*c**2 - 15*c + 4. What is q(2)?
-182
Let k(g) = 338*g - 14502. What is k(43)?
32
Let v(p) = p**3 + 42*p**2 + 3*p + 96. Calculate v(-42).
-30
Let i(l) = l**2 + 33*l + 175. Calculate i(-8).
-25
Let y(t) = -t**3 + t**2 - 5. Determine y(0).
-5
Let h(d) = -d**3 - 77*d**2 + 78*d - 94. What is | {
"pile_set_name": "DM Mathematics"
} |
*n(z)?
-2*z**2 - 3*z + 2
Let a(y) = -y + 1. Let i(s) = 212*s - 159. What is -318*a(u) - 2*i(u)?
-106*u
Let a(c) = 17*c + 16. Let o(n) = 16*n + 15. Determine 5*a(p) - 6*o(p).
-11*p - 10
Let u(l) = -840*l**2 - 4*l + 4. Let r(j) = -839*j**2 - 5*j + 5. Calculate -4*r(n) + 5*u(n).
-844*n**2
Suppose 76 + 49 = 5*p. Suppose -31*t + 26*t = p. Let i(g) = 6*g**3 + 5*g**2 + 5*g - 5. Let d(a) = -21*a**3 - 18*a**2 - 18*a + 18. Give t*d(l) - 18*i(l).
-3*l**3
Let h(w) = 1290*w**2 + 1204*w + 602. Let t(v) = -2*v**2 - 2*v - 1. Give -6*h(d) - 3612*t(d).
-516*d**2
Let f(x) be the first derivative of -25*x**2/2 - x - 1. Let b be f(1). Let q = b + 16. Let t(a) = -4*a - 10. Let p(d) = -d - 3. Give q*p(g) + 3*t(g).
-2*g
Let x(p) = 2*p**2 + 16*p + 11. Let o(w) = w + 4. Determine 4*o(g) - x(g).
-2*g**2 - 12*g + 5
Let b(d) = -5*d**2 - 7*d - 1. Let m(w) = 11*w**2 + 14*w + 3. Determine -5*b(u) - 2*m(u).
3*u**2 + 7*u - 1
Let c(p) = -8*p + 23. Suppose -2*a + 6 = -3*o + 7, -o = 3*a - 26. Let f(u) = 9*u - 24. Calculate a*c(x) + 6*f(x).
-2*x + 17
Let u(g) = 20*g + 79. Let r(p) = -7*p - 27. What is 17*r(l) + 6*u(l)?
l + 15
Let c(h) = h**2 - 2*h - 3. Let k(y) be the second derivative of -y**3/2 - 2*y**2 + 22*y + 1. Let b = -4 + 6. Determine b*k(z) - 3*c(z).
-3*z**2 + 1
Let v(g) = -79*g + 2. Let u(c) = 39*c - 1. Determine 5*u(o) + 3*v(o).
-42*o + 1
Let t(z) = -z**3 - z**2 + 1. Let y be 4/(-1)*-1 - (-52 - -55). Let c(m) = -7*m**3 - 4*m**2 + 11. Calculate y*c(s) - 6*t(s).
-s**3 + 2*s**2 + 5
Suppose 0 = -27*i + 30*i + 3, 0 = 4*z - 5*i + 47. Let f(j) = -9*j + 10. Let h(d) = 19*d - 21. Calculate z*f(t) - 6*h(t).
3*t - 4
Let z(m) = -6*m - 4. Let t(h) = -5*h - 3. Let s(j) = 2*j**2 - 9*j - 5. Let u be s(5). Suppose 16*v - 15*v + 3 = u. What is v*z(p) + 4*t(p)?
-2*p
Let v(a) = -6*a**2 + 6*a + 2. Let n(t) be the third derivative of -t**5/60 + t**4/24 - 213*t**2. What is 5*n(i) - v(i)?
i**2 - i - 2
Let d(r) = 20*r**3 + 3*r**2 + 10*r + 1. Let b(q) = 4*q**3 + q. Determine -6*b(v) + d(v).
-4*v**3 + 3*v**2 + 4*v + 1
Suppose 2*k - 1 = -3. Let q be ((-3)/k)/((-6)/(-14)). Let r(j) = 2*j + 1. Let y(z) = 6*z + 2. What is q*r(o) - 2*y(o)?
2*o + 3
Let f(o) = -2*o + 2. Let t(p) = -2*p - 2. Let c(g) = 1. Let w(s) = -3*c(s) - t(s). Let n = 10 + -10. Suppose -3*k + 0*k - 6 = n. Determine k*f(q) - 3*w(q).
-2*q - 1
Let l(i) = -1. Let b(u) = -151*u + 1. Give b(s) + l(s).
-151*s
Let y(v) = v**2 + 5*v - 5. Let u(q) be the third derivative of -q**4/24 + q**3/6 - 64*q**2. Calculate 5*u(h) + y(h).
h**2
Let o(r) = 23*r**2 + 7*r - 3. Let q(b) = 12*b**2 + 3*b - 1. Give -3*o(m) + 7*q(m).
15*m**2 + 2
Let t(l) = -l - 2*l**3 + 2*l + 7 - 20498*l**2 + 20492*l**2. Let s(h) = -2*h - 3. Let b be s(-4). Let r(j) = 2*j**3 + 5*j**2 - j - 6. What is b*t(d) + 6*r(d)?
2*d**3 - d - 1
Let l(s) = s**3 - 7*s**2. Let f(c) = c**3 - 5*c**2. Let h = -28 - -24. Let p be -4 + (-44)/h + 0. Calculate p*f(d) - 5*l(d).
2*d**3
Let k(i) = 16*i + 11. Let u(h) = -8*h - 5. What is 6*k(t) + 13*u(t)?
-8*t + 1
Let u(y) be the third derivative of 1/6*y**4 + 3*y**2 + 0*y + 4/3*y**3 + 0. Let p(j) = 5*j + 9. Let o = -7 - -1. What is o*p(q) + 7*u(q)?
-2*q + 2
Let t(a) = 12*a + 61. Let j(o) = 65*o + 306. Calculate 2*j(c) - 11*t(c).
-2*c - 59
Let i(q) = 2*q - 4. Let s(l) = l - 53. Let v(g) = 8. Let c(t) = -s(t) - 6*v(t). Calculate 5*c(u) + 6*i(u).
7*u + 1
Let r(h) = 5*h**2 - 18*h + 3. Let k(g) = 5*g**2 - 16*g + 2. What is -6*k(n) + 5*r(n)?
-5*n**2 + 6*n + 3
Let i(y) = -11*y**2 + 5. Let c(g) = -44 + 42 - 2*g**2 + g**2 + 6*g**2. Let j be 28/6 - (-4)/12. Let x be 4 + j/(10/(-4)). Determine x*i(o) + 5*c(o).
3*o**2
Let o(d) = -3*d**3 - 4*d**2 + 2. Let b(f) = -3*f**3 - 5*f**2 + 3. Suppose 14 = w - 4*s, -2*s - 6 = w - s. What is w*b(h) + 3*o(h)?
-3*h**3 - 2*h**2
Let v(o) be the first derivative of o**4/4 + o**3/3 + 364. Let z(k) = 3*k**3 + 4*k**2 - 2*k. Let j = -1 + 0. What is j*z(m) + 4*v(m)?
m**3 + 2*m
Let w(d) = -d. Let i(f) = 17*f - 2. Give i(h) + 4*w(h).
13*h - 2
Let z(k) = k**2 + 4*k + 3. Let h(y) = 10*y**2 - 5*y + 9. Let b(t) = 8*t**2 - 5*t + 7. Let o(u) = 6*b(u) - 5*h(u). Determine -4*o(j) - 5*z(j).
3*j**2 - 3
Suppose -5*q + 3*q - 2 = 0. Let k = -18 - -5. Let t = 15 + k. Let x(w) = -w - 1. Let i(a) = a**2 - 2*a - 2. Calculate q*i(l) + t*x(l).
-l**2
Let t = 124 + -130. Let x be (t + 1)*(8 + (-76)/10). Let g(b) = b - 4. Let q(d) = 3. Let a(c) = -1. Let h(f) = -17*a(f) - 6*q(f). Determine x*h(n) + g(n).
n - 2
Let f(o) = -12*o - 7. Let j(w) = 11*w + 6. Let s(n) = -5*f(n) - 6*j(n). Let b(c) = -c - 1. What is -b(x) + s(x)?
-5*x
Let d(s) = 5*s**2 - 12*s + 3. Let n(w) = -10*w**2 + 24*w - 7. Give -7*d(x) - 3*n(x).
-5*x**2 + 12*x
Let d(z) = 3*z - 3. Suppose 0*m - 5*n = -m - 17, -4*m + 3*n = 0. Suppose -m*u = -31 + 10. Let w(s) = 4 + s**2 + 2*s + 0 + s - u*s. Calculate 4*d(p) + 3*w(p).
3*p**2
Let t(s) be the first derivative of 4*s**2 - 384. Let j(a) = 2*a. Suppose 6 = -4*p - 2. Let r be (-1 - -12)/1 + -2. Determine p*t(y) + r*j(y).
2*y
Let y(i) = 5*i**2 - 7*i. Let b(a) = 3*a + 38. Let j = 17 - 28. Let v be b(j). Let o(d) = 4*d**2 - 6*d. What is v*y(w) - 6*o(w)?
w**2 + w
Let j(u) be the second derivative of 2*u**3/3 + 11*u**2 + 26*u - 1. Let v(l) = -l - 7. What is -3*j(p) - 10*v(p)?
-2*p + 4
Let z(c) = -29*c + 61. Let x(v) = -86*v + 190. Calculate -6*x(g) + 19*z(g).
-35*g + 19
Let d(m) = 9*m - 19. Let r(s) = -18*s + 42. Calculate -13*d(a) - 6*r(a).
-9*a - 5
Let t(a) = -24*a**3 - 9*a + 5. Let v(b) = 12*b**3 + 5*b - 3. Calculate -3*t(l) - 5*v(l).
12*l**3 + 2*l
Let w(y) = -y - 16. Let c(t) = t**2 + 1. Determine -2*c(x) + w(x).
-2*x**2 - x - 18
Suppose -5*m + 3*n - 4*n - 33 = 0, 0 = -m + 2*n. Let i(h) = h - 1. Suppose -3*c = 3, -5*p - 2*c - 10 = -3. Let s(u) = -9*u + 7. Give m*i(o) + p*s(o).
3*o - 1
Let d(j) = 12*j**2 + 3*j - 6. Let u(o) = 11*o**2 + 4*o - 7. What is -3*d(g) + 2*u(g)?
-14*g**2 - g + 4
Let s(f) = -f**3 - 6*f**2 - 8*f - 8. Let o = 315 - 326. Let u(b) = 2*b**3 + 11*b**2 + 15*b + 15. Determine o*s(w) - 6*u(w).
-w**3 - 2*w - 2
Let q(y) = 7*y**3 + y**2 + 2. Let b(z) = 6*z**3 + z**2 + 1. Calculate -6*b(j) + 5*q(j).
-j**3 - j**2 + 4
Let d be (-26)/(-8) + 75/20 + -3. Let f(y) = -y - 5. Let m(h) = -1. Let k(o) = -f(o) + 2*m(o). Let r(n) = -n - 4. Determine d*r(i) + 5*k(i).
i - 1
Let i(t) = -t - 2. Let o(a) = -50*a - 14. What is -8*i(w) + o(w)?
-42*w + 2
Let g(f) = -31*f**2 + 15*f + 20. Let t(j) = 15*j**2 - 6*j - 10. Calculate -3*g(s) - 7*t(s).
-12*s**2 - 3*s + 10
Let m(h) = 6*h**3 + 3*h**2 - 5*h + 2. Let n(c) = 4*c**2 - 3*c**2 + 1 + 2*c**3 - c**3 + 553*c - 554*c. What is m(o) - 3*n(o)?
3*o**3 - 2*o - 1
Let b(l) = -2*l**2 + 2*l - 3. Suppose -4*r + 2*q - 10 = 0, r - 29 = -2*q - 24. Let s(j) = -j + 1. What is r*s(h) - b(h)?
2*h**2 - h + 2
Let t(z) = -z. Suppose -4*k + 8 = -4*d, 4*k - 5 + 27 = -2*d. Let f(r) = 2*r. What is d*f(o) - 12*t(o)?
2*o
Let m(c) = c**3 + 8*c**2 - 34*c - 14. Let p be m(-11). Let d(l) = -3*l**2 - 3*l - 2. Let t(v) = -v**2 - v - 1. What is p*d(s) + 7*t(s)?
2*s**2 + 2*s - 1
Let l(w) = 20*w**3 + 24*w**2 + 24. Let g(o) = -4*o**3 - 5*o**2 - 5. Let n be (33 - 34)*5*-1. Determine n*l(p) + 24*g(p).
4*p**3
Let j(k) = -1. Let i(a) be the first derivative of -3*a - 3/4*a**4 + 0*a**2 - 3 + 0*a**3. What is -i(n) + 3*j(n)?
3*n**3
Let g(t) = 6*t**3 + 6*t**2 - 14. Let z(s) = 2*s**3 - 19*s**2 + 5*s + 22. Let j be z(9). Let i(l) = -2*l**3 - 2*l**2 + 5. What is j*i(r) - 5*g(r)?
-2*r**3 - 2*r**2
Let t(r) = -3*r**3 - 21*r - 2. Let l(b) = 6*b**3 + 45*b + 5. Calculate -2*l(u) - 5*t(u).
3*u**3 + 15*u
Let b(z) = -11*z**2 - 11*z + 2. Let s = -14 + 7. Let o be 4 + s + 55/5. Let r(i) = -7*i**2 - 7*i + 1. Give o*r(f) - 5*b(f).
-f**2 - f - 2
Let o(v) = 9*v**2 + v + 6. Let i(d) = d**2 + 3*d + 6. Let n be i(0). Let h(c) = 4 - 1 - n - 4*c**2. Give -5*h(u) - 2*o(u).
2*u**2 - 2*u + 3
Let m(s) = 9*s + 4. Let j(a) = -14*a - 6. Let w be (-168)/(-30) - 39/65. Calculate w*j(q) + 8*m(q).
2*q + 2
Let h(d) = -1. Let t(g) = 16*g - 5. Determine 6*h(q) - t(q).
-16*q - 1
Let z(c) = 11*c**2 + 2*c + 2. Let b(o) = -5*o**2 - o - 1. Suppose 8*h - 126 = 26*h. Let x(k) = k**2 - 6*k + 5. Let d be x(4). Determine d*z(l) + h*b(l).
2*l**2 + l + 1
Suppose 0 = 2*n - n + 3*g - 9, -2*n - 10 = -g. Let f be (-3 - -29)*n/6. Let r(v) = -4 + 2*v + 1 + 2. Let q(j) = -4*j + 2. Calculate f*r(k) - 6*q(k).
-2*k + | {
"pile_set_name": "DM Mathematics"
} |
t common divisor of m and v.
2
Let f be 2 - -9*(-488)/(-8). Let o = f - 245. What is the greatest common factor of 18 and o?
18
Suppose -170226 = -26*x - 9858. What is the highest common divisor of x and 24?
24
Let f(o) = o - 8. Suppose 0 = -w - 4*w - 105. Let u = w - -45. Let x be f(u). Calculate the highest common factor of 64 and x.
16
Suppose 0 = -126*k + 117*k + 252. Let s = -28 + 32. What is the highest common factor of k and s?
4
Let v be (1/(-2))/(10701/2142 - 5). Let l = v - 89. What is the greatest common factor of l and 42?
6
Let h = 34046 - 33137. Calculate the greatest common factor of h and 9.
9
Let c(z) = 120*z**2 + 30*z - 30. Let s be c(1). What is the greatest common factor of 76 and s?
4
Suppose -1855 = -3*m + 41*j - 36*j, 3*m = -2*j + 1862. What is the highest common divisor of 820 and m?
20
Suppose 19*h - 5*c + 190 = 24*h, 4*h - 112 = 4*c. Calculate the highest common factor of 121 and h.
11
Let c(g) = g**2 + 55*g - 748. Let k be c(12). Calculate the highest common divisor of k and 350.
14
Suppose 13*h - 10*h + 270 = 5*q, 0 = -3*q + 5*h + 162. Suppose q*r - 48*r = 120. Calculate the greatest common factor of 85 and r.
5
Let g(x) = 12*x**2 + 3*x - 2. Let q be g(-2). Let o = 40 - q. Let p be 1 - (-3*(-3)/(-9) - o). Calculate the greatest common divisor of 1 and p.
1
Suppose -10 = 3*t - 52. Let m(y) = 3*y - 34. Let z be m(t). Suppose -z*h = 24 - 112. Calculate the highest common factor of 253 and h.
11
Let z = 1500 + -1424. Suppose -5*s = -0*n + 4*n - 111, 5*n - 1 = s. Calculate the greatest common factor of z and s.
19
Suppose -371 = -22*w - 151. What is the greatest common divisor of w and 2345?
5
Let t = 31507 + -31492. Let n be (-1)/(-3 + 80/27). What is the highest common divisor of t and n?
3
Let x be (-3)/(-3)*(-7 + 84). Let k = 653 - x. Calculate the greatest common factor of k and 24.
24
Let i = -153 + 105. Let k be (-1)/(-3 - 140/i). Suppose 2*f = -2*z + 304, 0 = 2*z + 3*f - 0*f - 300. What is the highest common divisor of z and k?
12
Let x be 16 - 6/3 - -505. What is the greatest common factor of x and 692?
173
Suppose 13*n - 78 = 156. What is the highest common divisor of n and 2280?
6
Let n = 44493 - 44483. Calculate the greatest common divisor of 1525 and n.
5
Suppose -3*h = -0 - 15, 0 = 3*b - 5*h + 25. Suppose b = -20*k - 9*k + 1827. Let p be (-3)/(-6)*72/2. Calculate the highest common divisor of p and k.
9
Let x = 660122 - 660119. Let w(u) = 3*u**3 - 3*u**2 + 2*u - 3. Let a be w(3). Calculate the highest common factor of a and x.
3
Suppose -a - 11 = 3*p - 0*p, 2*p + 13 = 5*a. Let z be 2 - (-421 + a + -2). Let d = z + -253. What is the greatest common factor of 19 and d?
19
Suppose 77*j - 1728 = 2969. Calculate the greatest common divisor of j and 5002.
61
Suppose -5*t = 5*j - 20, 0 = -t + 5*j + 3 + 1. Suppose -682 = -t*l + 806. Suppose l = 3*f + 141. What is the highest common divisor of 11 and f?
11
Let c(g) = g**3 - 37*g**2 - 39*g + 57. Let t be c(38). Suppose 2*k + t*k - 1470 = 0. Calculate the greatest common divisor of k and 56.
14
Let z be (3 + (-64)/12)*-18. Suppose c - 5*j = -8*j + 51, 4*j - 47 = -c. Calculate the greatest common factor of z and c.
21
Suppose -379 = -8*x - 139. Calculate the greatest common factor of 6315 and x.
15
Let s(o) = -o**2 + 6*o. Let q be s(6). Let g = 15 + q. Let i = g + 65. What is the greatest common divisor of 10 and i?
10
Let w be -46*(-60)/24 - -15. What is the highest common divisor of 26 and w?
26
Let g(u) = u**3 + 6*u**2 - 6*u + 13. Let r be g(-7). Suppose -n - r*n + 189 = 0. Suppose n*i = 30*i - 228. Calculate the greatest common factor of i and 19.
19
Let m be ((-3)/90*-6*-93)/((-2)/70). Calculate the greatest common factor of 6727 and m.
217
Suppose -5 + 29 = 3*x. Let y(c) = -7 + 3*c + c + x*c - 5*c. Let f be y(5). Calculate the greatest common factor of f and 56.
28
Suppose 220*y - 9052 = -125*y + 15098. Calculate the greatest common factor of y and 380.
10
Let h = -90 + 240. Let r = 8 - 4. Suppose r*q - q - h = 0. What is the highest common divisor of q and 10?
10
Let s(p) = -399*p**3 + 8*p**2 - 14*p - 52. Let g be s(-2). Calculate the highest common divisor of 25 and g.
25
Suppose 399*a + 416 = 451*a. Let c = 79 - 56. Suppose -2*p + 3 = r - c, -r = -p - 35. What is the greatest common factor of a and r?
8
Let r(i) = 7*i - 1. Let s be r(3). Suppose 16 = k + s. Let w be (-1)/((16/k)/28). Calculate the highest common divisor of w and 63.
7
Let f be 3/(-9) + 1 - (-196300)/75. What is the highest common divisor of 154 and f?
154
Suppose 0 = 2*d - x + 160, -2*d - 393 = 3*d + x. Suppose 320 = 5*y - 9*y. Let c = d - y. What is the highest common divisor of c and 3?
1
Let m be -14 - (-5 + -6) - -817. What is the highest common factor of 110 and m?
22
Let d(n) = -58*n + 764. Let g be d(13). Calculate the highest common divisor of g and 135.
5
Suppose 3*t - 5*c = 120, 92 + 83 = 4*t - 5*c. Calculate the highest common divisor of 100 and t.
5
Let m(v) = v**2 - v - 4. Let y be m(-6). Let u be (-32)/(-6) + (-8)/6. Let z be u*(-5)/40*-152. What is the highest common divisor of z and y?
38
Let j be 3/(-1 + (-26)/(-20)). Let w be 4/j - (-1584)/40. Let l be (-56)/21*225/(-10). What is the greatest common divisor of l and w?
20
Suppose 147 = 8*s - 301. Suppose 5*h = c - 130, 0 = -h - 0*c + c - 26. Let g = h - -40. Calculate the greatest common factor of s and g.
14
Let z = 9 - 2. Let r = -44 + 184. Suppose -10*i = -15*i + r. Calculate the greatest common factor of z and i.
7
Let u = 277 - 140. Let z = -90 + u. Let j = 63 - z. Calculate the greatest common factor of j and 32.
16
Let q = 6 + 0. Let m = -79893 - -79899. What is the greatest common factor of q and m?
6
Suppose 53249 - 28893 + 590154 = 26*g. What is the highest common divisor of g and 145?
145
Let g be (-97254)/(-216) + (-11)/(-4) + -3. Calculate the greatest common divisor of g and 18.
18
Let v = -146 - -82. Let y = -64 - v. Suppose y = -3*p + 3, 2 = c - p - 11. What is the highest common divisor of c and 112?
14
Let s(l) = -l**3 + 15*l**2 - 29*l + 59. Suppose -5*o - 3*b + 80 = 2*b, o = 2*b + 7. Let h be s(o). Calculate the greatest common factor of 580 and h.
20
Suppose -3*t = 3*v - 15885, -34*t + 5285 = v - 38*t. What is the greatest common divisor of v and 67?
67
Let w be (35 - -1)*((-1037)/(-102) - 10). Calculate the greatest common divisor of w and 2859.
3
Let z(j) = -8*j**2 + 4*j + 4. Let c be z(-1). Let a be 25*(-4)/(0 - (-4)/c). What is the highest common divisor of a and 80?
40
Let u be 0 + (3 - 1) + -8. Let z = 1605 + -1609. Let c be 116/u*z - (-28)/42. What is the highest common factor of c and 52?
26
Let y = 73 + -53. Let v be (950/(-152))/(1 + (-21)/y). Calculate the highest common factor of 75 and v.
25
Suppose 2*r - 148 + 23 = 5*m, -5*r - m + 272 = 0. Let h = 55 - r. Let t(s) = s + 264. Let x be t(h). What is the highest common divisor of x and 33?
33
Suppose -7*n = 26*n - 231. Suppose 0 = 3*i - 4*i - 5*b + 391, -4*b = 4*i - 1500. Calculate the highest common factor of i and n.
7
Let x be (45/25)/((-9)/(-30)). Suppose -o - 5*v = x - 3, 3*o + v = 19. What is the highest common factor of o and 175?
7
Let i be 3751/682*(-1676)/(-11). What is the greatest common divisor of i and 2?
2
Let x(d) = 7195*d**2 - 124*d - 121. Let i be x(-1). What is the highest common divisor of 610 and i?
122
Let j(g) = -g**2 + 23*g + 2164. Let x be j(-36). What is the greatest common factor of 2230 and x?
10
Let f = -22931 + 23129. Calculate the highest common divisor of f and 2259.
9
Let i(h) = -3*h**2 - 42*h - 76. Let d be i(-4). What is the greatest common divisor of 1100 and d?
44
Suppose 57*j - 52*j + 1915 = 0. Let l = j - -387. Calculate the highest common divisor of l and 52.
4
Suppose 2*s - 3*y = s + 13904, -s + 13884 = 2*y. What is the highest common factor of 92 and s?
92
Let t = -14959 - -18474. What is the greatest common divisor of 19 and t?
19
Suppose 53*c - 44*c - 66*c = -228. Calculate the greatest common factor of c and 3292.
4
Let x = -11427 + 13323. What is the greatest common divisor of x and 120?
24
Suppose b + 177 = 4*x, 21 = 3*x + 5*b - 83. Let n = -58 - -1434. What is the greatest common divisor of x and n?
43
Let i(r) = -149*r + 2992. Let q be i(20). What is the greatest common divisor of 4596 and q? | {
"pile_set_name": "DM Mathematics"
} |
j be (-2)/t + 3972/20. Suppose 8*b - 97 - j = 0. Is b composite?
False
Let a = -25860 - -40067. Is a prime?
True
Let s(q) = 2366*q + 869. Is s(12) a composite number?
True
Let x(q) = -25*q**3 - 2*q**2 - 28*q + 9. Let k be x(6). Let o = k - -15398. Is o a prime number?
True
Suppose 0 = 28*k - 96*k + 10616092. Is k a composite number?
False
Let w be -4 - (-1680)/27 - (-2)/(-9). Let b = w + -56. Suppose -b*m + z - 100 = -760, -1653 = -5*m + z. Is m prime?
True
Suppose 2*y + 4*n = 98518, 6*y + 2*n - 295519 = -3*n. Let j = -21687 + y. Is j prime?
False
Let x(u) = 211*u**2 - 245*u + 279. Is x(-47) prime?
False
Suppose -2 = 2*u, -4*c + 858407 = -445*u + 450*u. Is c composite?
False
Let o be (-3 - 0)/((-4)/1440). Let r = -363 + o. Is r a composite number?
True
Let j = 574 + -579. Let d(f) = 10*f**2 + 4*f + 4. Let m(t) = -11*t**2 - 5*t - 3. Let g(z) = -2*d(z) - 3*m(z). Is g(j) a composite number?
True
Suppose 0 = 16*y + 145*y - 16479799. Is y a prime number?
True
Let k(n) = -4*n + 27. Let d be k(-8). Let h(l) = 134*l + 28 + 36 - d. Is h(4) a prime number?
True
Let g(w) be the first derivative of -w**4/4 - 16*w**3/3 + 19*w**2/2 + 30*w - 30. Let l be g(-17). Is (3194/l)/(((-28)/(-8))/(-7)) a composite number?
False
Let y be (2 - 2) + -12 + 5. Let a = 27 + y. Is 10/a + 2425/2 a composite number?
False
Let o(w) = 805*w - 2. Let q be o(3). Let x = q - 1326. Is x a prime number?
True
Let a = -13954 - -47940. Is a a prime number?
False
Let j(r) = -77 + 46 - 139*r + 145. Is j(-33) prime?
False
Is ((-11)/561*17)/(27959752/(-9319917) - -3) a composite number?
False
Let a(z) = z + 1. Let r be a(-4). Let l be ((-351)/(-15) - r)/(12/40). Suppose -l - 845 = -3*k. Is k prime?
True
Let k be 4/10 - 56/(-35). Suppose -3*j + i = 26, -k*i - 12 = -4. Let f(l) = -3*l**3 - 12*l**2 + 12*l + 13. Is f(j) prime?
True
Let i(j) = 4*j**3 + 31*j**2 - 48*j + 11. Is i(8) prime?
True
Let a = -97183 - -248502. Is a prime?
False
Let s be 0/(-17) + 2 + 1319 + 3. Is (-2 - -19)/((-3968)/s + 3) composite?
True
Let n(h) = 132*h**2 - 8*h + 351. Is n(25) prime?
True
Suppose -3*z - 2*u + 1964402 + 3921807 = 0, 4*z + 2*u - 7848276 = 0. Is z a composite number?
True
Let o(y) = 3747*y**2 - 41*y - 41. Is o(-1) a composite number?
True
Suppose -2*n + 3*j - j + 2300 = 0, 4*n + j - 4575 = 0. Suppose -m = -4*u + 4230, 0 = 4*u - u + m - 3176. Let q = u + n. Is q a composite number?
False
Let t(v) = v**3 - 66*v**2 + 171*v - 155. Is t(90) a composite number?
True
Let s be (-21)/(-21) - (-2 + 15) - -6. Suppose 6 = 2*x - 2. Is (x/s)/(1983/1989 + -1) prime?
False
Is -1388*(14 + 123/(-4)) composite?
True
Let t(d) = -3*d + 1. Let k(g) = -452*g - 172. Let v(r) = -k(r) + 3*t(r). Is v(6) a composite number?
False
Let p(l) = 2*l**3 - 14*l**2 - 3*l + 12. Let z be p(7). Is ((-3)/z)/(14/62202) a prime number?
True
Let x = -58 + 71. Let i = 17 - x. Suppose -i*v = -232 - 244. Is v composite?
True
Let t = 27516 + 96382. Is t composite?
True
Let j(c) = -2*c + 4. Let u be j(2). Let a be (-1*5)/(5/(-5)). Suppose u = a*l - 172 - 103. Is l a composite number?
True
Let p = 1035235 + -376602. Is p prime?
True
Let d(w) = 3116*w + 51. Let j be d(4). Suppose -8*v - j = -13*v. Is v prime?
True
Suppose 2*w + 263 + 117 = -4*y, 971 = -5*w - 3*y. Is (w/(-10))/7*1535/2 a prime number?
False
Let s(o) = -49*o**3 - 4*o**2 - 5*o + 14. Let d be s(-6). Suppose -7*n + 18097 = -d. Is n prime?
False
Suppose 49*j = 52*j - 6. Is j/(-3) - (-31101)/9 composite?
True
Let a = -1332 + 940. Let d = 203 - a. Suppose t = q + 3*q - d, 4*t = 4. Is q a prime number?
True
Let c = 84292 - -2631. Is c composite?
False
Let a be (-53)/(-106)*(-18)/(-1). Suppose -a*q + 2162 = -817. Is q a composite number?
False
Suppose 0 = -7*v + 6*v - 4*z - 129, 0 = -3*v + 3*z - 372. Let t(r) = -9*r**2 + 4*r - 16. Let w be t(-8). Let j = v - w. Is j prime?
True
Let x be 4/6 - (51/9 + -1). Let l = x + 14. Suppose 0 = 3*t - 5*t - l, 3*t = -f + 16. Is f a prime number?
True
Let w(b) = 367*b - 2. Let o be w(1). Let x be 10*o - (8 + 0 + -5). Suppose -x = -3*j - 4*j. Is j prime?
True
Let k(j) = -26*j + 61. Suppose i = 3*w + 23, 4*w - 3*i + 44 = -5*i. Is k(w) a prime number?
False
Let h(j) = -3212*j**3 + j**2 - 6*j - 19. Is h(-2) a composite number?
False
Let g(f) be the first derivative of -1333*f**3/3 + 11*f**2/2 + 29*f + 23. Let t(l) = 333*l**2 - 3*l - 7. Let a(w) = 2*g(w) + 9*t(w). Is a(-1) a prime number?
True
Suppose -74 = 3*p + j, -4*p = -5*p - 2*j - 18. Is 208/p + (6014 - 1) a prime number?
False
Suppose -4894 = 6*s + 21074. Is s/(0 - 8)*1 a prime number?
True
Let q be -1*(5/10 - (-78)/4). Is 4/2 + q + 5531 a composite number?
True
Suppose 25*g + 6128402 = 24455427. Is g a composite number?
True
Suppose 0 = -4*o - 3*r - 58923, -2*o - 39885 = -2*r - 10441. Let q = -7844 - o. Is q prime?
True
Let r(a) = -1205*a + 343. Is r(-6) a composite number?
False
Let y be 134345*12/90 - (-2)/6. Let z = 43160 - y. Is z composite?
False
Let a(x) be the third derivative of -7*x**4/24 - 35*x**3/6 - 13*x**2. Let n be a(-5). Is n - (-506 + 1) - 51/17 a composite number?
True
Suppose -14 = -2*l - q, 2*q = 3*l - 5*l + 14. Suppose 0 = -6*y + 13*y + l. Is (-149)/y*1*7 a composite number?
True
Let w(c) = 601*c - 39. Let l(f) = 301*f - 22. Let u(d) = 5*l(d) - 2*w(d). Is u(3) prime?
True
Let b = 59726 - 1473. Is b prime?
False
Suppose 0 = -m - 3*j + 296419, -3*j - 592892 = 32*m - 34*m. Is m a composite number?
False
Let z(p) = p**3 + 12*p**2 - 14*p - 19. Let l be z(-13). Let h(r) = 65*r**2 + 5*r - 19. Is h(l) a prime number?
False
Let r(y) = 4*y**3 + 6*y**2 - 11*y + 7. Suppose -3*k = 3*c - 0*k - 51, 0 = 4*c + k - 71. Is r(c) a composite number?
True
Suppose 3*b - 17*a + 14*a - 41244 = 0, -3*a = 5*b - 68764. Is b a prime number?
True
Suppose -m - 5*v + 7 = 3, 2*m = -4*v + 2. Let k be ((-16)/5)/((-20)/50) + m. Suppose 0*u = k*u - 12999. Is u composite?
True
Let a = -109388 + 60210. Let f = a + 84937. Is f composite?
False
Let o(y) = -3*y + 5 - 20 + 53. Let u be o(11). Suppose -4*k = 5*x - 3965, -k - 6119 + 2179 = -u*x. Is x a prime number?
False
Let q = 11526 - 815. Is q a prime number?
True
Suppose 72*g = -2*f + 67*g + 277099, 3*g = f - 138566. Is f composite?
True
Let x(l) = -3*l - 13 + 36 - l**3 + l + 0*l + 20*l**2. Let a(z) = 5*z**3 - 100*z**2 + 10*z - 116. Let y(s) = 2*a(s) + 11*x(s). Is y(18) a composite number?
True
Let l(f) = 3*f - 24. Let k be l(9). Suppose 0 = -k*t + 125 + 76. Let z = t - 34. Is z composite?
True
Suppose 0 = -2*j - 5*r + 28522, 30*j - 71365 = 25*j - 5*r. Is j composite?
False
Let t be (28/35*-1)/(5/(-247175)). Suppose -t - 15658 = -6*a. Is a a composite number?
True
Let o(i) be the first derivative of 3*i**3 - 5*i**2/2 + 45*i + 78. Is o(-19) prime?
True
Let s = 492876 - 185054. Is s a prime number?
False
Suppose 0 = 5*h, h + 2*h - 66 = 3*a. Let f be (a/(-22))/(2/4). Suppose -5*t - 2*u = -1683, 0*t - t = -f*u - 339. Is t a composite number?
False
Let f = -1119 + 889. Let g = f - -3201. Is g prime?
True
Let r(h) = h**3 + 4*h**2 - 7*h + 24671. Is r(0) composite?
False
Let z = 4811 - -1478. Is z a prime number?
False
Let s = 58 + -52. Is (479/1)/(1 - s/9) prime?
False
Suppose -4*z = -4*i - 379500, 240*z = 237*z - 4*i + 284674. Is z prime?
False
Let b be (-5030219)/(-10) - (-13)/(-780)*-6. Is b/20 - (-11)/(-110) prime?
False
Let z be -34*(39/6 - 6). Let o(d) = 3*d**2 - 5*d + 27. Is o(z) a composite number?
True
Let j be 27 + -20 + 8/((-4)/2). Suppose -j*y + 0*y = 2*r - 7427, r = 2*y - 4942. Is y a composite number?
False
Suppose -b + 2*q + 5577 = 0, -2*q - 5580 = -b + 3*q. Let x = b + -2673. Is x a prime number?
False
Suppose -479883 = -14*r - 1151462 + 4186125. Is r a composite number?
True
Let h(n) = -107*n - 72. Let l be h(-17). Let r = l + -7251. Let y = -1675 - r. Is y prime?
False
Let w = -105027 + 182708. Is w prime?
True
Let h(i) = 193*i**2 + 222*i + 1. Is h(-14) a composite number?
False
Let b be (16580/3)/((-41)/(-738)). Suppose -6*k = 18*k - b. Is k composite?
True
Suppose -23597 = -q + 5*d + 26615, 3*d = -q + 50156. Is q composite?
False
Let g(s) = 28*s + 165. Let j be g(-6). Is ((-34227)/6)/(j*(-2)/(-4)) prime?
True
Let g(f) be the first derivative of 79*f**3 + f**2 + 19*f + 30. Is g(6) a composite number?
False
Let c(y) = 2*y**3 - 22*y**2 + 75*y - 153. Is c(38) pri | {
"pile_set_name": "DM Mathematics"
} |
lse
Is 344021135 a composite number?
True
Is 193457269 prime?
True
Is 5972443 a composite number?
False
Is 32721307 a prime number?
True
Is 4331186 a prime number?
False
Is 10876802 a prime number?
False
Is 79348613 prime?
True
Is 2670134 composite?
True
Is 56875073 a composite number?
False
Is 568859 composite?
True
Is 1276103 a prime number?
True
Is 122369551 a prime number?
False
Is 1649719 prime?
False
Is 12909521 prime?
True
Is 92409 prime?
False
Is 1130081 composite?
False
Is 887846798 a prime number?
False
Is 188060261 a composite number?
False
Is 1121410499 prime?
False
Is 16133743 prime?
True
Is 25143047 prime?
True
Is 850807 prime?
True
Is 6416887 composite?
False
Is 65934461 a prime number?
True
Is 9740063 a prime number?
False
Is 643444143 a prime number?
False
Is 22615135 a prime number?
False
Is 65925169 composite?
True
Is 601187 a composite number?
False
Is 785171359 a composite number?
True
Is 3513787 a composite number?
False
Is 6716509 prime?
False
Is 275190431 composite?
False
Is 14743459 a composite number?
True
Is 38985127 prime?
True
Is 176299 prime?
True
Is 88771 a composite number?
False
Is 400615163 a prime number?
False
Is 632647 a prime number?
True
Is 450929 composite?
False
Is 6020611 a composite number?
True
Is 379759 prime?
False
Is 85815011 prime?
True
Is 3520369 a composite number?
True
Is 103119769 a composite number?
False
Is 4570297 prime?
False
Is 3377546 a composite number?
True
Is 912619 a composite number?
True
Is 1506943 a prime number?
True
Is 10684607 a composite number?
False
Is 22288949 composite?
False
Is 200697085 a prime number?
False
Is 40316987 composite?
True
Is 9460817 composite?
True
Is 784411657 a prime number?
True
Is 4588211 a prime number?
True
Is 13345051 a prime number?
False
Is 7515593 composite?
False
Is 88601 prime?
False
Is 38154329 a composite number?
True
Is 25560167 composite?
True
Is 103357627 prime?
False
Is 114200549 prime?
True
Is 474857 a prime number?
True
Is 336961 a prime number?
True
Is 576781 a composite number?
True
Is 99304979 a prime number?
False
Is 539354987 a composite number?
True
Is 2247037 composite?
True
Is 12524858 a composite number?
True
Is 1069363 a composite number?
False
Is 8536721 composite?
False
Is 58788361 a prime number?
False
Is 981741 composite?
True
Is 25536383 composite?
False
Is 4883831 a composite number?
True
Is 8680691 composite?
False
Is 4322323 prime?
True
Is 79714265 a composite number?
True
Is 306571 a composite number?
True
Is 25024301 a composite number?
False
Is 23425709 composite?
False
Is 1630393 composite?
False
Is 72468859 a composite number?
False
Is 20821579 composite?
True
Is 349303 composite?
False
Is 4301789 a prime number?
True
Is 26792219 a prime number?
True
Is 915241 a prime number?
False
Is 360846839 a prime number?
False
Is 1409567 composite?
True
Is 188130223 a prime number?
True
Is 15026123 a composite number?
True
Is 997307 a prime number?
True
Is 43204859 prime?
False
Is 2717434 a composite number?
True
Is 17142953 a composite number?
True
Is 25091939 composite?
False
Is 20873483 a prime number?
True
Is 917779 a composite number?
True
Is 54953 a composite number?
True
Is 174659 prime?
True
Is 452035453 a composite number?
False
Is 42812659 prime?
True
Is 35839631 prime?
True
Is 19299691 prime?
False
Is 88497499 a composite number?
False
Is 437467517 composite?
False
Is 13594741 prime?
False
Is 71531 a prime number?
False
Is 2536477 a composite number?
False
Is 3534173 a prime number?
True
Is 734467 composite?
True
Is 6836611 composite?
True
Is 6828805 composite?
True
Is 21205819 prime?
False
Is 766837 composite?
True
Is 3060749 a prime number?
True
Is 11184727 composite?
True
Is 35680639 a composite number?
False
Is 1617307 a prime number?
False
Is 149204227 a prime number?
True
Is 12942881 composite?
True
Is 229514 a composite number?
True
Is 21046283 prime?
False
Is 26559913 a prime number?
True
Is 10602509 composite?
True
Is 1911199 composite?
False
Is 11575973 a prime number?
True
Is 218483183 a composite number?
False
Is 10654591 composite?
True
Is 2028343 composite?
True
Is 106 a composite number?
True
Is 178822727 prime?
False
Is 30015131 a composite number?
True
Is 52691906 a composite number?
True
Is 53699699 a composite number?
False
Is 37524329 composite?
False
Is 248150185 a composite number?
True
Is 3817273 a prime number?
True
Is 14040947 prime?
True
Is 8440961 a prime number?
True
Is 99213 composite?
True
Is 75476033 composite?
False
Is 3089159 a prime number?
False
Is 49557439 a prime number?
False
Is 313416577 a prime number?
False
Is 778333 prime?
True
Is 204803971 prime?
False
Is 104882017 composite?
False
Is 268474733 a prime number?
False
Is 40162835 a prime number?
False
Is 16978639 prime?
True
Is 68524211 prime?
False
Is 7645927 prime?
False
Is 4019527 a composite number?
False
Is 13118563 a prime number?
True
Is 3013957 a composite number?
False
Is 1708505 a composite number?
True
Is 191491 composite?
False
Is 1904989 a prime number?
False
Is 1293553 a composite number?
False
Is 13232099 composite?
False
Is 310559 composite?
False
Is 6158843 a composite number?
False
Is 834751447 a prime number?
False
Is 2007121 a prime number?
False
Is 227992299 prime?
False
Is 23189431 prime?
True
Is 74402719 prime?
False
Is 257368769 a prime number?
False
Is 54304373 composite?
True
Is 18256787 a prime number?
False
Is 15250045 prime?
False
Is 3008261 prime?
False
Is 356314457 a composite number?
True
Is 36359471 prime?
True
Is 17443451 composite?
True
Is 12445109 composite?
False
Is 11460409 a composite number?
True
Is 18650713 composite?
False
Is 1529179 a prime number?
False
Is 10005041 composite?
False
Is 631453 prime?
True
Is 32516339 a prime number?
False
Is 1121686105 a composite number?
True
Is 2909389 prime?
False
Is 3483659 prime?
True
Is 1305727 prime?
False
Is 22227197 a prime number?
False
Is 4221051 composite?
True
Is 48399931 a prime number?
True
Is 15262411 a composite number?
False
Is 800861 composite?
False
Is 722119 prime?
True
Is 723187343 a prime number?
False
Is 77667791 a composite number?
True
Is 4559263 composite?
True
Is 5268503 a composite number?
True
Is 123372671 a composite number?
False
Is 1741945 a prime number?
False
Is 7809199 a prime number?
True
Is 3531907 a composite number?
False
Is 4254007 a prime number?
True
Is 329032577 prime?
True
Is 16833343 prime?
True
Is 10668407 a composite number?
False
Is 27004557 prime?
False
Is 8692433 a composite number?
False
Is 44792879 a prime number?
True
Is 6521963 composite?
True
Is 15625877 composite?
True
Is 9002107 a composite number?
False
Is 29143357 composite?
True
Is 2651597 prime?
False
Is 8951563 prime?
True
Is 1113701 prime?
True
Is 8258083 a prime number?
True
Is 14176549 a composite number?
False
Is 865087 prime?
True
Is 159393707 prime?
False
Is 921121 a composite number?
False
Is 63466679 a prime number?
False
Is 13752611 composite?
False
Is 12505543 a composite number?
False
Is 19027481 a composite number?
True
Is 6417917 composite?
True
Is 330950443 composite?
True
Is 13305499 composite?
False
Is 20338366 composite?
True
Is 8672009 prime?
False
Is 34427461 a prime number?
True
Is 35887297 composite?
True
Is 9016061 prime?
True
Is 7056851 prime?
True
Is 12434933 a prime number?
False
Is 85474709 a composite number?
True
Is 12944687 a prime number?
False
Is 7296521 composite?
False
Is 2668771 prime?
False
Is 38243839 prime?
False
Is 44694505 a composite number?
True
Is 17249189 composite?
False
Is 56668211 composite?
False
Is 1953761 a prime number?
True
Is 79271 prime?
False
Is 126283663 a prime number?
False
Is 29432639 a composite number?
False
Is 10790743 a composite number?
True
Is 1693553 a prime number?
True
Is 2874797 a prime number?
False
Is 1743379 a prime number?
False
Is 616709 prime?
False
Is 895189 a prime number?
True
Is 263183313 a prime number?
False
Is 993486359 a prime number?
True
Is 34216661 a composite number?
False
Is 19956637 composite?
True
Is 375845551 composite?
True
Is 15510387 composite?
True
Is 27575203 composite?
False
Is 3252397 prime?
True
Is 126246119 prime?
True
Is 453757 composite?
False
Is 276051019 a composite number?
True
Is 31360657 prime?
True
Is 70256717 a composite numbe | {
"pile_set_name": "DM Mathematics"
} |
4
Let q(n) = 4*n**3 + 16*n - 58. Let i(a) = -9*a**3 - 33*a + 103. Calculate 3*i(j) + 7*q(j).
j**3 + 13*j - 97
Let m(b) = b - 65. Let i(c) = -12*c + 948. Calculate -3*i(w) - 45*m(w).
-9*w + 81
Let o = 204 - 198. Let r(g) be the second derivative of -g**3/6 + 4*g**2 - g + 14. Let q(h) = 1. Calculate o*q(i) - r(i).
i - 2
Let f(c) = c**2 - 1. Let s(v) = 16*v**2 + v - 3. Let h(n) = 2*n**3 - 17*n**2 - 61*n + 69. Let a be h(11). What is a*f(q) - s(q)?
-13*q**2 - q
Let r = -7 + 12. Let y(u) be the second derivative of 7*u**3/6 - 5*u**2/2 + 101*u. Let v(x) = -4*x + 2. What is r*v(b) + 2*y(b)?
-6*b
Let c(g) = g**2 + 5. Let d(w) = -4*w**2 - 21. Suppose 2*j = 4*k + 68, -3*j + 359 = 365. Determine k*c(u) - 4*d(u).
-2*u**2 - 6
Let c(n) = 2*n - 3. Let o(b) = 3*b - 4. Let y(l) = -6*l - 81. Suppose -d = 2*d + 12, 2*f + 3*d = -40. Let z be y(f). Determine z*o(t) - 4*c(t).
t
Let k(j) = 17*j**2 - 41*j - 23*j - 31*j - 8 + 83*j. Let t(f) = 4*f**2 - 3*f - 2. What is -2*k(u) + 9*t(u)?
2*u**2 - 3*u - 2
Let p(z) = -11*z**2 - 13*z. Let m be 44/(-66)*((-39)/(-2))/1. Let h = m - -20. Let y(k) = -5*k**2 - 6*k. What is h*y(l) - 3*p(l)?
-2*l**2 - 3*l
Let g(b) = 3*b**2 + 300*b - 1577. Let r be g(-105). Let l(d) = 7*d**3 - 2*d**2 - d. Let z(f) = -f**3 + f**2 + f. Calculate r*z(h) - l(h).
-5*h**3 - h
Suppose -24*c + 202 = -25*c. Let f = c - -201. Let g(d) = -9*d**3. Let t(r) = -r. Determine f*g(b) + t(b).
9*b**3 - b
Let b(f) = -3*f**2 + 3*f - 231. Let k(r) = -16*r**2 + 20*r - 1156. What is 11*b(u) - 2*k(u)?
-u**2 - 7*u - 229
Let r(v) = -v + 7. Let l(z) = 4*z - 555. Calculate -l(m) - 5*r(m).
m + 520
Let g(f) = -10*f + 189. Let q(v) = -19. Calculate -4*g(c) - 44*q(c).
40*c + 80
Let c(z) = -7*z + 2. Let r(b) be the third derivative of b**5/60 - 5*b**4/6 + 5*b**3/6 + 3*b**2 - 123. Give -8*c(d) + 3*r(d).
3*d**2 - 4*d - 1
Let y(n) = -5*n**2 + 2*n + 17. Suppose 155*p - 3*h = 154*p, -4*p = 2*h + 28. Let g(d) = 4*d**2 - 2*d - 16. Give p*g(s) - 5*y(s).
s**2 + 2*s + 11
Let m(r) = 20*r. Let c(b) = -145409*b - 2 + 2 + 145430*b. What is 4*c(y) - 6*m(y)?
-36*y
Let n(x) = -76*x**3 - x**2 + 10*x - 27. Let p(h) = -73*h**3 - h**2 + 12*h - 31. Determine -5*n(k) + 4*p(k).
88*k**3 + k**2 - 2*k + 11
Let u(t) = 5*t**3 - 2*t**2 - 5*t + 18. Let n(p) = p**3 - 2*p**2 - p + 3. What is 6*n(j) - u(j)?
j**3 - 10*j**2 - j
Suppose 3 + 6 = b. Let y be (-3)/b + 10/(-6). Let d(s) = 4*s + 2. Let o(r) = 3 + 5 - 13*r + 4 - 19. What is y*o(t) - 7*d(t)?
-2*t
Let t(l) = -7*l - 1. Let s(w) = 8*w + 2. Suppose -8 = -u - 2*j, -18 = 51*u - 52*u - 4*j. Calculate u*s(g) - 3*t(g).
5*g - 1
Let q(h) = -2*h - 2. Suppose 5*y - 158 + 128 = 0. Let l(d) = 1 + 3 - 2*d - y. Let w be (-45)/(-10)*(-4)/(-3). Calculate w*l(f) - 7*q(f).
2*f + 2
Let p(i) = -15*i - 7. Let u be 33/6 - 1/(-2). Let g(z) = 436376*z - 872751*z + 436368*z - 3. Give u*p(m) - 13*g(m).
m - 3
Let s(c) = 8*c. Let r(a) be the second derivative of a**3/2 + 3573*a. Suppose 0 = -5*m - w + 25, 20 + 8 = 3*m - 2*w. What is m*r(f) - 3*s(f)?
-6*f
Let h(u) = 69*u**3 + 5*u**2 - 5*u + 5. Let w = 4413 - 4416. Let l(o) = 35*o**3 + 3*o**2 - 3*o + 3. Give w*h(b) + 5*l(b).
-32*b**3
Let o(w) = 3722*w**3 + 8*w - 56. Let m(n) = 4963*n**3 + 11*n - 77. Determine -8*m(j) + 11*o(j).
1238*j**3
Let g(u) = 8066*u**2 - 11*u + 11. Let v(m) = 1613*m**2 - 2*m + 2. What is -2*g(t) + 11*v(t)?
1611*t**2
Let l(z) = 3494*z + 1. Let c(f) = -6989*f - 4. Calculate -2*c(d) - 5*l(d).
-3492*d + 3
Suppose 38 = -3*g + 26. Let x(h) = -34*h**2 + 5*h. Let d(z) = 33*z**2 - 4*z. Give g*x(l) - 5*d(l).
-29*l**2
Let c(s) = -3*s - 2. Let f(t) = 26*t + 308. Calculate -8*c(n) - f(n).
-2*n - 292
Let j(k) = -5*k**2 - 54*k + 6. Let o(f) = f**2 + 19*f + 1. Calculate -j(l) - 3*o(l).
2*l**2 - 3*l - 9
Let n(o) = -25*o**3 - 2*o**2 + 2*o + 2. Let r(p) = -925*p**3 - 75*p**2 + 75*p + 75. Suppose 176 = -3*m - 4*f - 270, -m = -f + 151. What is m*n(d) + 4*r(d)?
50*d**3
Let l(g) = -10*g**3 + 4*g**2 + 4*g + 929. Let h(i) = 2*i**3 - i**2 - i - 16. Give -4*h(p) - l(p).
2*p**3 - 865
Let y(u) = 33*u**3 + 62*u**2 + 2630*u - 29. Let o(j) = -8*j**3 - 15*j**2 - 657*j + 7. Calculate 25*o(p) + 6*y(p).
-2*p**3 - 3*p**2 - 645*p + 1
Let z(m) = 4*m + 14. Let x(k) = -k - 5. Let c(q) = -q**3 + 29*q**2 + 24*q + 197. Let u be c(30). Give u*x(n) + 6*z(n).
7*n - 1
Let n(g) = g - 15. Let z(k) = -7*k + 87. Let d(f) = -3*n(f) - z(f). Let y(t) = -6*t + 63. Calculate -8*d(l) - 5*y(l).
-2*l + 21
Suppose 2*i - 13 = -t, 16 = -3*t + i + 4*i. Suppose 0 = -t*a + 25*f - 29*f, -5*a - 4*f = -8. Let w(d) = -d + 6. Let g(x) = -3*x + 17. Give a*g(q) - 11*w(q).
-q + 2
Suppose -88 = 7*d - 109. Let y(t) = 85*t**2 + 4*t - 24*t + 144 - 15*t - 179. Let v(o) = 7*o**2 - 3*o - 3. Calculate d*y(b) - 35*v(b).
10*b**2
Let s(m) be the second derivative of 3*m + 0*m**4 + 0*m**3 + 1/2*m**2 + 1/20*m**5 + 4. Let w(z) = 6*z**3 + 3*z + 4. What is -4*s(j) + w(j)?
2*j**3 + 3*j
Let c(x) = 73*x + 516. Let m be c(-7). Let n(t) = -2*t**3 + 3*t**2 - 13*t + 9. Let j(h) = -3*h**3 + 4*h**2 - 19*h + 13. Give m*j(v) - 7*n(v).
-v**3 - v**2 - 4*v + 2
Let l(k) be the first derivative of k**4/4 - 8*k**3/3 + 5*k**2/2 - 1870. Let a(b) = -3*b**3 + 23*b**2 - 14*b. Determine 3*a(v) + 8*l(v).
-v**3 + 5*v**2 - 2*v
Let j(h) = 3*h**3. Let k(b) = 31*b**3 + 2*b**2 - 12*b. Determine -2*j(f) + k(f).
25*f**3 + 2*f**2 - 12*f
Let h(k) be the second derivative of -11*k**4/12 + 2*k**3/3 + 3*k**2/2 + 7*k + 133. Let u(l) = -12*l**2 + 3*l + 2. What is 2*h(w) - 3*u(w)?
14*w**2 - w
Let h be -2*2 - 3/(-3). Let l(m) = m**2 - 4*m. Let o(j) = 3*j. Suppose 2*z + 180 = -5*v + 4*v, -2*v + 4*z = 400. Let k = 188 + v. Determine h*o(c) + k*l(c).
-2*c**2 - c
Let z(a) = 2262439*a**2 - 10408*a - 10408. Let q(b) = -1304*b**2 + 6*b + 6. Calculate -5204*q(r) - 3*z(r).
-1301*r**2
Let o(m) = -5169*m**3 - 55*m**2 - 49*m - 16. Let y(v) = -1034*v**3 - 10*v**2 - 9*v - 3. What is 2*o(w) - 11*y(w)?
1036*w**3 + w + 1
Let t(y) = 3*y**2 - 4*y. Let n(d) = -2*d**2 + 3*d. Let s be (25 - 2/2) + -4. Let j = 16 - s. Let g be (21/14)/(2/j). Calculate g*t(x) - 4*n(x).
-x**2
Suppose 0 = z + 5*q - 33 - 23, -6 = 2*q. Let w = 74 - z. Let r(j) = 11 - 14 + w*j - 4*j + 2*j. Let f(m) = -m + 4. Determine 4*f(h) + 5*r(h).
h + 1
Let r(p) = -p + 1494. Let k(m) = 1491. Calculate 3*k(u) - 2*r(u).
2*u + 1485
Let g(c) = 1. Let m(d) = -75*d + 2702. Let q be m(36). Let p(i) = i**2 + 7*i + 3. Calculate q*g(u) - p(u).
-u**2 - 7*u - 1
Let p(i) = 398*i**3 - 10*i**2 - 3*i - 17. Let f(r) = 598*r**3 - 14*r**2 - 4*r - 24. Calculate -5*f(q) + 7*p(q).
-204*q**3 - q + 1
Let z(m) be the first derivative of m**2/2 - 4*m - 11. Let o(r) = -2 + 9 + 66*r - 67*r. What is 3*o(v) + 5*z(v)?
2*v + 1
Let z(y) = -y. Suppose 0 = -73*n - 139 - 299. Let o(v) = -12*v + 2. Calculate n*z(m) + o(m).
-6*m + 2
Let h(a) = 5*a**2 + 44*a + 4. Let s(c) = 9*c**2 + 77*c + 10. Let v(l) = -7*h(l) + 4*s(l). Let f(u) = -4*u**2 - 37. Calculate 2*f(i) + 7*v(i).
-i**2 + 10
Let q(c) = -1475*c - 12 - 1484*c + 18 + 2962*c. Suppose 2*o - a = -13, 3*a - 7*a + 2 = 2*o. Let l(u) = -4*u - 7. Give o*q(n) - 4*l(n).
n - 2
Let o(w) = -114*w**2 - 3*w + 2. Let v(u) = 368*u**2 + 10*u - 6. Let x(p) = -16*o(p) - 5*v(p). Let a(d) = 33*d**2 + 5*d + 4. Determine 3*a(r) + 7*x(r).
-13*r**2 + r - 2
Let i(l) be the second derivative of -l**3/6 + l**2/2 - 4*l. Let q(v) = 2 + 86 - 82. Give -3*i(p) + q(p).
3*p + 3
Let x be 3 + -4 + 1 + 4. Let j(c) = 0 - 727*c + 1 - c**3 + 728*c + c**2. Let o(b) = 3*b**2 + 2*b + 4 - 2*b - 6*b**3 + 2*b. What is x*j(i) - o(i)?
2*i**3 + i**2 + 2*i
Suppose 0 = -3*f + 2*c + 3*c - 52, 4*f + 4*c = -16. Let u be (-15)/12 + f/(-36). Let p(t) = 2*t + 3. Let g(a) = a. Determine u*g(x) + p(x).
x + 3
Let o(y) = -1. Let f(u) = -4*u + 12. Let m(d) = d + 2. Let x(i) = f(i) + 3*m(i). What is 2*o(w) + x(w)?
-w + 16
Let v(m) = -4840*m - 968. Let x(f) = -167*f - 33. What is 3*v(c) - 88*x(c)?
176*c
Let o(x) = 189*x + 21. Let w(u) = -68 + 78 + 19*u - 8. Determine 2*o(g) - 21*w(g).
-21*g
Let d(f) = 2*f - 10. Let k(y) = y - 10. Let v(a) = a**3 - 57*a**2 + 14*a - 803. Let u be v(57). What is u*k(x) + 4*d(x)?
3*x + 10
Let k(i) = -1. Let d(v) = v**2 - 5*v - 3. Let m be ((-75)/20 - (-25 - -20))*4. Give m*k(q) - d(q).
-q**2 + 5*q - 2
Let f(a) = -a**3 - 90*a**2 - 8*a + 28. Let j(r) = r**3 + 90*r**2 + 7*r - 31. Give 11*f(u) + 10*j(u).
-u**3 - 90*u**2 | {
"pile_set_name": "DM Mathematics"
} |
l)*l*l/(l/l**0))/((l/l**13)/l**(-2/7)) assuming l is positive.
l**(117/7)
Simplify q**(-4/3)*q**(-3/2)*q*(q/((q**(-1)*q)/q))**(-1/10) assuming q is positive.
q**(-61/30)
Simplify (g**(-21)/g**(3/4))/(g**(-19/3))**9 assuming g is positive.
g**(141/4)
Simplify o*(o*o**(2/13))/o*((o/o**(-2/9))/o)/o*o**(-3)/o*o*o**29 assuming o is positive.
o**(3086/117)
Simplify ((g**13*g*g/(g**(1/8)/g))/(((g/(g*g/(g/(g**(-5/8)/g))*g)*g)/g)/g*g*g**(4/9)))**(-5/6) assuming g is positive.
g**(-2665/216)
Simplify (w**(-2/13)/w)**(-3)*(w/w**12)/(w/(w**10/w)*w) assuming w is positive.
w**(-7/13)
Simplify l*((l**15/l)/l*l)/l*l*l**(-3/4)*(l**12*l)/l*((l*l**1)/l)/l*l*l assuming l is positive.
l**(113/4)
Simplify (l**(2/7))**(-1/20)*l**(-1/5)/(l**(-1/4)/l) assuming l is positive.
l**(29/28)
Simplify (l**(-13/2)*l/(l/(l*l/l**(-1/4)*l)))**(-3/7) assuming l is positive.
l**(39/28)
Simplify s**(-10)*s*(s*s/((s*s**(-3)*s)/s*s*s)*s)/s*(s**(1/13))**1 assuming s is positive.
s**(-90/13)
Simplify (s**(-2))**(1/18)/(s**(2/25)/((s/(s/(s*(s/(s/(s/(s/s**(-9)*s))))/s)*s))/s)) assuming s is positive.
s**(-2743/225)
Simplify (v*v**(-21))/((v/(v/(v**13/v)))/v)*(v**(-9)/v*v)**(-10/17) assuming v is positive.
v**(-437/17)
Simplify ((((b*b**(-1/40)*b*b)/b)/b)/b)**4*((b**(-21)/b)/b)/b**(-4) assuming b is positive.
b**(-191/10)
Simplify (((s**(4/7)*s)/(s*s*s**(-1/16)*s))**(24/13))**24 assuming s is positive.
s**(-5508/91)
Simplify (((f*f**(-13)*f)/f)/f**15)/((f*f**(-3/19))/(f/(f*f**(-1/6)/f*f))) assuming f is positive.
f**(-3155/114)
Simplify (v/v**2*v**(-11)/v)/(v**(-1/5)/v**(-3)) assuming v is positive.
v**(-79/5)
Simplify ((z*z*z*z**(1/3)*z)**(-2/21)/(z**8*z*z*z/(z*z**(1/2))))**27 assuming z is positive.
z**(-3747/14)
Simplify (s/(s**5/s))**(20/7)/(s*s**(1/5))**40 assuming s is positive.
s**(-396/7)
Simplify v/v**(-1/19)*v**(-12)*v**(4/11)*(v*v/((v/(v**(-4/7)/v*v))/v))/v assuming v is positive.
v**(-14857/1463)
Simplify ((k**(-2)*k)/k)**(3/5)/(k**16/(k*k*k**(-19))) assuming k is positive.
k**(-171/5)
Simplify (o**(2/9)/(o**(1/18)/o))/(o**(2/5)/(((o/(o/(o**(6/7)*o*o))*o)/o)/o*o)) assuming o is positive.
o**(761/210)
Simplify (o*o**(-9))**(-10)*((o/o**(-4/9))/o)**(2/39) assuming o is positive.
o**(28088/351)
Simplify (l*l**(5/3))**(-5)/(l**(-8)/l*l/(l**(-2/7)*l)) assuming l is positive.
l**(-97/21)
Simplify ((c**(-1/3))**21/(((c*c*c**(2/19))/c)/(c*c**4)))**(-5) assuming c is positive.
c**(295/19)
Simplify ((d**(-11/2)/d)/(d*d**(-47)*d))**(-33) assuming d is positive.
d**(-2541/2)
Simplify (b/b**5*b*(((b**(36/7)*b)/b)/b)/b)**(-1/8) assuming b is positive.
b**(-1/56)
Simplify ((v**1/v**(-2/5))/(v**(4/9)/v*v/((v*v/((v*v/(v/(v**5/v)*v*v*v*v)*v)/v)*v)/v)))**(2/51) assuming v is positive.
v**(176/2295)
Simplify (q**(-1/6)/((q/q**(-5)*q)/q*q)*(q/q**(-1/7)*q)/q*q/(q*q**(8/3)))**(-5/4) assuming q is positive.
q**(1825/168)
Simplify (n/n**(2/5))**(-2/85)/((n*n**(2/27)/n)/n**6) assuming n is positive.
n**(67838/11475)
Simplify ((y/y**(-1/5)*y**7/y)**30)**(-26/5) assuming y is positive.
y**(-5616/5)
Simplify (z**(-1/8))**(2/55)/((z/(z/(z**(-1/2)*z)))/z)**(1/36) assuming z is positive.
z**(37/3960)
Simplify ((i**(-7)*i)**(-39))**(2/37) assuming i is positive.
i**(468/37)
Simplify (c**(-2/31)*c)/(c/(c*c**3))*(c/c**(3/7))**33 assuming c is positive.
c**(4946/217)
Simplify ((u**2*u)**(-8)/((u**9*u)/(u*u**4*u)))**(15/2) assuming u is positive.
u**(-210)
Simplify (l/(l**(-5)*l)*l**(-4)*l*(l/((((l/(l**(-1/8)/l))/l)/l)/l))/(l*(l/(l**4*l*l)*l)/l))**26 assuming l is positive.
l**(819/4)
Simplify i**(-8/5)*i**9/i*i**(-1/2)/(((i/(i**10*i))/i*i)/i) assuming i is positive.
i**(169/10)
Simplify (w**25/(w**(5/3)*w))**(-8) assuming w is positive.
w**(-536/3)
Simplify (((((w/(w*w/((w**3/w)/w)*w)*w*w)/w)/w)/w**(-4))/(w**(1/4)*w)**(-4/19))**(-4/3) assuming w is positive.
w**(-248/57)
Simplify (q**(-3)*q*q**0)/(((q*q*q**(-1/2)*q)/q)/q)**(14/13) assuming q is positive.
q**(-33/13)
Simplify (d**(-3/5)*d*(d/(d*d**(2/5)))/d)/(d**(-14/5)*d*d*d**(2/19)) assuming d is positive.
d**(-29/95)
Simplify ((g/(g**(-5)*g)*g)/g**(-1/12))/(g**5*g)**(-16) assuming g is positive.
g**(1225/12)
Simplify (g*g**(2/9))**4*g**(-18)*g*(g**(-4)*g*g)/g assuming g is positive.
g**(-136/9)
Simplify z**(-8)*z*z**(-6/13)*z*(z*z/z**(-6))**(-2/31) assuming z is positive.
z**(-2812/403)
Simplify ((l*l*l**(1/4)/l*l*l)/l*l**(-10/3))**(-48) assuming l is positive.
l**52
Simplify (d**16/d**(-2/3))**35 assuming d is positive.
d**(1750/3)
Simplify ((y**(-1)/y*y/(y*y**3))**(2/99))**(-13/5) assuming y is positive.
y**(26/99)
Simplify (z/(z**2*z)*z)**(-5/13)*z/z**13*z*z**(-2/3) assuming z is positive.
z**(-440/39)
Simplify ((j*j**(-37))/j**(-8))/(j**(-2/27)*j*j**(-4/5)) assuming j is positive.
j**(-3797/135)
Simplify v*v**(-7)*v**(1/5)*(v/((v*(v**(-7)*v)/v*v)/v*v))/(v*v**(-6/7)/v) assuming v is positive.
v**(37/35)
Simplify (((w/w**(-2/81))/w)/w)**(-39)*(w/w**(2/47))/(w/(w*w**(-26))*w*w) assuming w is positive.
w**(13952/1269)
Simplify o**0/(o*o**(1/7))*(o/(o*o**(-2/5)))**(-39) assuming o is positive.
o**(-586/35)
Simplify (v**(-23)*v*(v**(-7)/v)/v)**4 assuming v is positive.
v**(-124)
Simplify (t**(2/17))**(-4/9)/(t**(-8)*t**(-11)) assuming t is positive.
t**(2899/153)
Simplify (m**9/m)**37*(m/(m*m/m**(-3)*m)*m)**(5/4) assuming m is positive.
m**291
Simplify (w**36*w**(-2/5))**3 assuming w is positive.
w**(534/5)
Simplify (h**(-8))**13/(h*h/h**(-6/7)*h)**(-18/7) assuming h is positive.
h**(-4610/49)
Simplify (o**(10/9)*o**(-2/19))/(o*o**(1/13)*o**(-3/5)*o) assuming o is positive.
o**(-5236/11115)
Simplify (w**(-9)*w*w*w*((w**0/w)/w)/w)/(w**(1/8)/(w**(1/2)*w)) assuming w is positive.
w**(-61/8)
Simplify ((t/(t*(t**(-2/9)/t)/t))/t)**(2/11)/(t**(-15/2)*t**30) assuming t is positive.
t**(-401/18)
Simplify (b*b**10/b)**(1/42)/(b**5*b*b)**3 assuming b is positive.
b**(-436/21)
Simplify (m*m/(m/(m*m**(-1/10)))*m)**9/(m/m**17*m*m**(2/17)) assuming m is positive.
m**(6967/170)
Simplify ((h/h**(3/4))/h*h**(2/15)*(h**(-4))**(9/10))**23 assuming h is positive.
h**(-5819/60)
Simplify ((l**3*l)**(1/8))**(-4/9) assuming l is positive.
l**(-2/9)
Simplify (((l/l**(-8))/(((l/(l/(l**(3/2)*l)))/l)/l))**(-6/7))**(-31) assuming l is positive.
l**(1581/7)
Simplify (h**(-19)/h)/(((h/h**(-1))/h)/h*h)*(h**1/h)**(-10/3) assuming h is positive.
h**(-21)
Simplify z**(-2/13)/z**(7/6)*(z**(2/7))**(8/3) assuming z is positive.
z**(-305/546)
Simplify ((n**4*n*n**(1/11))**15)**(12/13) assuming n is positive.
n**(10080/143)
Simplify ((k/k**(-25))/k**(-13))/(k**3)**(3/19) assuming k is positive.
k**(732/19)
Simplify ((r*r*(r/(r/(r*r/r**5)))/r*r)/r*r)**(3/22)*r**23/(r**14*r) assuming r is positive.
r**(173/22)
Simplify d**(14/9)/(d*d**(-20))*d**(4/11)*d/(d*d**(2/37)/d) assuming d is positive.
d**(80092/3663)
Simplify (i*i/i**16)**(-5/3)/(i**(-3/16)/(i*(i**(18/7)/i)/i)) assuming i is positive.
i**(8431/336)
Simplify (t**9*t*t**18)/((t/(t*t**(-11)*t))/t**(5/11)) assuming t is positive.
t**(203/11)
Simplify (y/((y**(-15/4)/y*y*y)/y)*y**(1/4))**(-1/6) assuming y is positive.
y**(-5/6)
Simplify g*g**(-9)*g*(g*g*(g*g**(-5/9))/g*g)/g*(g**(-6/13)/g)/g**4 assuming g is positive.
g**(-1289/117)
Simplify (f**(1/37)*f/(f/(f*(f/f**(-17))/f)))/(f/((f*f/((f/(f*f**27*f))/f*f)*f)/f)*f*f**(-1)) assuming f is positive.
f**(1740/37)
Simplify (c*c**25)/c*c/((c**(-35)/c)/c)*(c*c**(-4/3)*c*c)**(1/35) assuming c is positive.
c**(1324/21)
Simplify (p**(4/7))**(-2/31)*p**(-1/4)*p/(p*p**(2/141)) assuming p is positive.
p**(-36845/122388)
Simplify ((o**4*o/o**(-2))/(o/o**(2/7)*o**6))**(-9) assuming o is positive.
o**(-18/7)
Simplify ((i**(-1/4)/i)/(i*i/(((i/((i**(-3)*i)/i))/i)/i))*(i*i/(i/(i/(i/(i/((i*i**(-1/2))/i))))))**(3/4))**(1/8) assuming i is positive.
i**(5/64)
Simplify (n**6)**28/(n**(-2/35)/(n/n**(-3/2))) assuming n is positive.
n**(11939/70)
Simplify ((u**3*u/(u**5/u))/((u/(u**0*u)*u)/((u*u**(-2/15))/u)))**(-7) assuming u is positive.
u**(119/15)
Simplify (((d**14*d)/d)/(d**(2/11)*d*d))/(d**(-1/3)/d*d**(10/9)*d) assuming d is positive.
d**(1093/99)
Simplify (t**(-1/2)*t*t**(1/5)*t)/(t**7/(t**(2/41)/t)) assuming t is positive.
t**(-2563/410)
Simplify (y*y**(1/2)*y)/(((((y**(-1/21)/y*y)/y)/y)/y)/y)*(y*y**(-2/13)*y)**(-29) assuming y is positive.
y**(-25657/546)
Simplify (a/a**(-1/22)*a*a*a**(-12)*a*a)**(-8/13) assumin | {
"pile_set_name": "DM Mathematics"
} |
he remainder when j + 3 + 69/1 is divided by v?
16
Suppose 14 = -u + 3*w + 48, 3*u - 3*w = 90. Suppose -k + 2*i + 27 = -2*i, -k - 3*i = 8. What is the remainder when u is divided by k?
0
Let v(g) = -7*g - 6. What is the remainder when v(-8) is divided by (48/(-40))/(36/(-960))?
18
Let m = 8866 + -8785. What is the remainder when 1223 is divided by m?
8
Let k = -1084 + 1165. Calculate the remainder when 899 is divided by k.
8
Let k(j) = j**3 + 6*j**2 - 11*j - 10. Calculate the remainder when 46/8 + -5 + 9333/244 is divided by k(-7).
3
Let l(z) = 22*z + 4. Let a be l(3). Let r = a + -11. Suppose 0 = t + 146 - 164. Calculate the remainder when r is divided by t.
5
Let c be 30/135 + (-4504)/18. Let q be 0/(4 + -5) + 407. Let y = q + c. What is the remainder when y is divided by 40?
37
Suppose -3*q + 51 = 9. Let i be (-54)/(-10)*(-150)/(-9). Let d = -51 + i. What is the remainder when d is divided by q?
11
Let q = -201 + 163. What is the remainder when 202 is divided by q/95*5*41/(-2)?
38
Suppose 4*a = 2 - 22. Let b be 20*(a - -2)/(-12). Suppose -624 - 316 = -b*f. What is the remainder when f is divided by 48?
44
Let c = -1306 + 1328. Let n = -34 + 40. What is the remainder when c is divided by n?
4
Let m = -25637 - -25652. Suppose 14 = -5*j - 91. Let v = j - -31. What is the remainder when m is divided by v?
5
Let r be ((-2)/3)/((-1)/3). Suppose c + r = 0, 2*n - 4*n = -c - 618. What is the remainder when n is divided by 62?
60
Let t(s) = s**3 + 5*s**2 + s + 2. Let d be t(-5). Calculate the remainder when (2 - 470/(-6)) + (-2)/d is divided by (-4 + 3)/((-3)/42).
11
Suppose -20*i - 1341 = -17*i. Let p = 806 + i. Calculate the remainder when p is divided by 19.
17
Let g = 32 + -28. Suppose 5*v + 2 - 21 = 4*s, g*v = -2*s + 10. Suppose 0 = v*n - l - 62, 3*l = -3*n - 30 + 108. What is the remainder when n is divided by 8?
6
Suppose 30*b - 34*b + 4490 = 2*a, -5*a = -25. Suppose 4*j = -24*j + b. Let k(y) = 3*y**2 - 4*y - 7. Calculate the remainder when k(6) is divided by j.
37
Let s(r) = 2*r**2 + 59*r - 1346. What is the remainder when 167 is divided by s(-45)?
20
Suppose 29*u - 600 - 3866 = 0. Suppose -2*s = -0*f - f + 33, s = 4. What is the remainder when u is divided by f?
31
Let x be (-58)/(-145) - (1 + (-9256)/10). Suppose -6*k + x = -569. Calculate the remainder when k is divided by 65.
54
Suppose -10*p - 17 = -223 - 34. Let v(b) = 21*b + 1. What is the remainder when v(5) is divided by p?
10
Let r(a) = a**3 - 3*a**2 - 69*a + 54. Calculate the remainder when r(14) is divided by 11.
1
Let v(k) = -28*k - 624. What is the remainder when 3858 is divided by v(-23)?
18
Let i = -74 - -74. Suppose i = 72*j - 73*j + 31. Calculate the remainder when j is divided by 23.
8
Suppose -3*w + 47791 = 2*o, 40*w = 4*o + 37*w - 95555. Calculate the remainder when o is divided by 12.
11
Suppose -37 - 99 - 500 = -12*x. What is the remainder when 688 is divided by x?
52
Let n = 985 + -1012. Let t(i) = -71*i**3 + i + 1. Let c be t(-1). Let f = n + c. What is the remainder when 174 is divided by f?
42
Let r = 132 - -1667. Calculate the remainder when r is divided by 36.
35
Let k(f) = f + 8. Let p be k(16). Suppose 4*h - 57 = -13. What is the remainder when p*(-4)/8*(-8)/3 is divided by h?
10
Let l = -74 - -81. Let y(a) = -a**2 - 7*a - 14. Let n be y(-8). Calculate the remainder when (-4)/n + 1988/77 is divided by l.
5
Let t = 7106 - 6945. What is the remainder when t is divided by 87?
74
Let p(x) = 2*x**2 - 14*x - 9. Let r be p(8). Suppose r*v = -1 - 13. What is the remainder when 54 - (v + 4)*-1 is divided by 15?
11
Suppose -4*n + 83 = 67. Suppose -c = -o + 16, 3*c - 72 = -n*o + o. What is the remainder when o/50 - 2/5 - -38 is divided by 14?
10
Let o be (26/(-6) - -4) + (-1551)/(-9). Let p = 212 - o. Calculate the remainder when 152 is divided by p.
32
Suppose 5*g - 13 = 4*b, -8*b - 13 = -3*g - 3*b. Calculate the remainder when 1/((0 + g)*(-6)/(-102)) is divided by 11.
6
Suppose -511*m - 315 = -520*m. What is the remainder when 30/m + (-1696)/(-14) is divided by 1?
0
Suppose 2*u - 2 = 3*u. Let w(t) = 2*t**2 + 8*t - 11. What is the remainder when ((-31)/3)/(u/6) is divided by w(-6)?
5
Let p(o) = o**3 + 43*o**2 + 43*o + 58. Calculate the remainder when 1471 is divided by p(-42).
15
Let u(c) = 146*c**2 + 114*c - 26. Calculate the remainder when 1958 is divided by u(-3).
66
Suppose -s + 6 = 20. Let q = s + 20. Suppose q*n - 15 = 15. What is the remainder when 13 is divided by n?
3
Suppose 5*f = -9*x + 5*x + 1714, -1388 = -4*f + x. What is the remainder when f is divided by 9?
4
Suppose 9865*w - 9906*w + 138006 = 0. Calculate the remainder when w is divided by 259.
258
Suppose -81*y = 738*y - 214*y - 53240. Calculate the remainder when -1 + 346 - (4 + -7) is divided by y.
84
Let r = 91 - 83. Suppose 62 = r*l - 2. What is the remainder when 168 is divided by (-464)/(-28) + l/(-14) + 1?
15
Let a(b) = -b**2 + 24*b - 32. Suppose -5*x + 120 = -2*g, -2*x = 4*g - 9 - 15. Calculate the remainder when 140 is divided by a(x).
8
Let t(g) = -3*g**2 + 252*g - 90. What is the remainder when t(78) is divided by 78?
66
Suppose -4*n + 4*k = -152, 5*k = 25*n - 30*n + 230. Calculate the remainder when 55 is divided by n.
13
Calculate the remainder when (11 - (-635)/(-55))*-209 is divided by 51.
12
Let t be (40/(-12))/(0 + (-4)/6). Suppose 0 = -8*n + t*n + 18. Calculate the remainder when (-1040)/(-25) + n/(-10) is divided by 21.
20
Let s = -307 + 543. Let u = 340 - s. Let q = 78517 - 78496. What is the remainder when u is divided by q?
20
Let y be 0 - (1 - 2 - 1). Suppose -y*d + 18 = -d. Let h = 88 + -57. Calculate the remainder when h is divided by d.
13
Suppose 3*u + 6*w - 1301 = 10*w, 2974 = 7*u + 3*w. Let z = 35 - -4. What is the remainder when u is divided by z?
37
Calculate the remainder when 1019 is divided by 2 - (-747)/12 - (4 - 75/20).
59
Suppose s = 2, 0*f + 5*f + 3*s = 816. Calculate the remainder when f is divided by 22 + -140*57/(-133).
80
Let d(h) be the third derivative of h**4/6 + 8*h**3/3 + 39*h**2. What is the remainder when 107 is divided by d(5)?
35
Suppose -j = 3*j - 112. Suppose -x + 44 = 3*l, 5*x = 5*l + 311 - 11. Let n = x - j. Calculate the remainder when n is divided by 10.
8
Suppose -19*n - 26*n - 50*n + 216790 = 0. Calculate the remainder when n is divided by 79.
70
What is the remainder when 661/(13/13) + 5 is divided by 117?
81
Suppose 0*l = 5*l - 4*j + 124, 2*l + 2*j + 64 = 0. Let g = 33 + l. Suppose -12 + 497 = g*q + m, -20 = 4*m. Calculate the remainder when q is divided by 9.
8
Let r = 56 - 48. Calculate the remainder when 18 is divided by (r + -11)*-1*1 + 4.
4
Suppose -5*s + 66 = -34. Suppose 2*i = i - 0*i. Suppose 5*p + 29 - 64 = i. Calculate the remainder when s is divided by p.
6
Let n = -449 - 47. Calculate the remainder when -2 + -3 + 2 + n/(-8) is divided by 15.
14
What is the remainder when 1635 is divided by -8 - (9/(-126) + (-4002)/28)?
15
Let f = 12918 + -12661. Calculate the remainder when f is divided by 228.
29
What is the remainder when (12 - 32/12)*((-630)/(-24) - 3) is divided by 110?
107
Let f(u) = 260*u + 5579. Calculate the remainder when f(0) is divided by 60.
59
Suppose -58*z = -36*z - 506. Suppose z + 121 = 6*q. What is the remainder when 1/(-2)*142/(-1) is divided by q?
23
Let w(m) = 2*m**2 - 13*m - 122. Calculate the remainder when 2083 is divided by w(-7).
6
Suppose 13*m + 24395 = 20*m. Suppose m - 1070 = 7*u. What is the remainder when u is divided by 70?
65
Suppose -73 = -3*g - 2*k, 2*g - 3*k = -8*k + 34. Suppose -4*l - 4*x + 140 = 0, 4*x - 5*x + 3 = 0. Calculate the remainder when l is divided by g.
5
Calculate the remainder when 112 is divided by (-275)/(-16) + (-1152)/6144.
10
Let y = 12037 - 12026. What is the remainder when 664 is divided by y?
4
Let f = 59 + -35. Suppose -3*i = -3*o + 54, 4*i + 44 = 2*o - 0*o. Let j(l) = l**2 - 8*l - 39. What is the remainder when j(o) is divided by f?
21
Calculate the remainder when 279 is divided by (-7708)/(-36) + 112/126.
64
Let f(o) = 2*o + 35. Let y be f(-18). What is the remainder when 120 is divided by ((-2)/(-6)*-25)/(y/3)?
20
Suppose -2633*d + 2631*d + 14 = 0, -3*d = 2*i - 463. Let t(f) = -5*f**3 + 3*f + 3. What is the remainder when i is divided by t(-2)?
36
Suppose 5*n - 25 = 0 | {
"pile_set_name": "DM Mathematics"
} |
27/11. Let l = g + 290. Put -1/2, l, -1/7 in descending order.
l, -1/7, -1/2
Let u = -130 - -110. Let c = -9 - u. Suppose 0 = -3*o + 2*r - 17, -3*r + 15 - 2 = -2*o. Sort c, 1, o.
o, 1, c
Let a = -16171 + 16171. Let p be ((-1)/1)/(22/(-12)). Put a, 4, 1, p in descending order.
4, 1, p, a
Let o = -606.2 - -606. Put o, 5, 179 in descending order.
179, 5, o
Suppose 2*b + 0 - 10 = 0. Suppose 0 = 4*y + 2*k + k + 32, -3*y - 35 = b*k. Sort y, 4, -1, 12.
y, -1, 4, 12
Let l = 0.4642 - -0.0358. Sort 0.1, 3, 1/3, l in increasing order.
0.1, 1/3, l, 3
Suppose 2*w = -53 + 49. Sort -3, -55, w in descending order.
w, -3, -55
Let n(x) = -x**3 + 6*x**2 + 7*x + 2. Let a be n(7). Let j = 430 + -430. Sort 4, j, a, -2 in decreasing order.
4, a, j, -2
Let y = -39 + 44. Sort -0.4, y, 0.53.
-0.4, 0.53, y
Let r be 20/12 - (130/15 - -6). Put -5, 0, r in increasing order.
r, -5, 0
Let b(o) = o**3 - 10*o**2 - 9*o - 27. Let h be (-7 + 9)*(-11)/(-2). Let n be b(h). Put 5, 3, n in increasing order.
n, 3, 5
Let d = 1302 - 1307. Let q = -3 - -3.17. Sort d, q, -4 in increasing order.
d, -4, q
Let w(y) = -6*y**3 - y**2 - 4*y - 3. Let d be w(-1). Put d, 2, -3, 1 in decreasing order.
d, 2, 1, -3
Let s = -217.4 + 217. Let l = 14 + -13.91. Let c = l + 1.91. Put s, c, 4/5 in decreasing order.
c, 4/5, s
Let p be (1/(-3))/1 + 14/6. Sort -3, 4, p, -5 in decreasing order.
4, p, -3, -5
Suppose 3*b = -6*w + 8*w - 16, 0 = -2*w - 3*b - 8. Put -17, w, 0 in decreasing order.
w, 0, -17
Let l(n) = n - 2. Let k be l(6). Let c(g) = -5*g**3 + 3*g**2 - g - 4. Let u be c(k). Let h be 2/11 + u/693. Sort 3, h, -4.
-4, h, 3
Suppose 4*k + 4*t = 24, -4 - 11 = -3*t. Let v be (-2 - k) + 0 + 1. Suppose 12 = 3*s + r, 2*s - 4*r + 24 = 6*s. Put s, -4, v in increasing order.
-4, v, s
Let t(f) = -f**3 + 6*f**2 + 2*f + 3. Let n be t(3). Let x = n - 13. Suppose 5*l = 2*j - 3 + 23, 5*j + l + x = 0. Sort j, 5, 2 in decreasing order.
5, 2, j
Suppose 3*a - 12 - 12 = -5*v, -2*v = 3*a - 33. Suppose 2*o - 1 + a = 0. Sort -3, o, -2 in descending order.
-2, -3, o
Let j(c) = -c**3 - 10*c**2 - 15*c + 8. Let h be j(-8). Let x = h + -35. Sort x, -3, 0 in ascending order.
x, -3, 0
Let h = 52.5 - 53. Put -0.1, h, -5 in descending order.
-0.1, h, -5
Suppose -2*l - 83 = -g, -3*l + 56 = 2*g - 138. Let j be 4/(-6)*(-39)/g. Sort 4, j, 13 in decreasing order.
13, 4, j
Let b = -11.6 - -11.1. Let r = -37/120 + -1/40. Put 19, r, b in decreasing order.
19, r, b
Let z = 1.9 - 2. Let f = 9.9 - z. Let d = -7 + f. Sort -1/5, -5, d in decreasing order.
d, -1/5, -5
Let s = -0.049 - -0.009. Let q = 2 + -8. Let r = 10 + q. Sort r, -2/3, s in decreasing order.
r, s, -2/3
Let v = -0.2031 + 0.2031. Sort -2, -8, v.
-8, -2, v
Let n = 176.42 - 153.4. Let r = -0.02 + n. Let m = 24 - r. Sort m, 5, -0.05 in decreasing order.
5, m, -0.05
Let w be 264/(-48)*2/22. Let p = -0.8 - 0.2. Put -2, w, p, 0.2 in ascending order.
-2, p, w, 0.2
Let p = -57.5837 + -0.0163. Let u = p + 58. Put 2/15, 4, u in ascending order.
2/15, u, 4
Let t be ((-24)/(-63))/(-4)*6/14. Sort -5, 0.6, t in decreasing order.
0.6, t, -5
Let o be 5/7*7 + -174. Put 5, o, -5 in increasing order.
o, -5, 5
Let a = 18 + -14. Suppose 25 = 5*i - 4*o, 19 = -a*i - 4*o + 3. Let g = 7 + -13. Sort g, i, -2.
g, -2, i
Let j be -2*(-3)/2 - (-323)/(-57). Put 2/17, -1/2, j in descending order.
2/17, -1/2, j
Let w = -186 + 186.5. Sort w, 0.1, -8, -11 in descending order.
w, 0.1, -8, -11
Suppose 0 = 5*h + 15 + 10. Let x = -1376 - -1376. Put x, -2, h, 2 in increasing order.
h, -2, x, 2
Let z = 510 + -512. Put z, 8, -8 in ascending order.
-8, z, 8
Let y be (8/(-34))/(1 - 3). Let d = -1 - 0.6. Let g = 4.6 + d. Sort 2, y, g.
y, 2, g
Let x be (-32)/(-28) - (0 + 1). Let b = -260 + 308.7. Let n = b + -49. Sort x, n, -0.7 in ascending order.
-0.7, n, x
Let r be 1 - (2 + 0 + -2). Suppose 2*y = 58 - 68. Put r, y, -2, -7 in descending order.
r, -2, y, -7
Suppose -5*r - 5*d + 230 = 0, -3*d - 36 = -5*r + 186. Let k = 43 - r. Sort -5, 2, k, 3.
-5, k, 2, 3
Let v be 16059/318*4/(-2). Put 1, v, -1, -4 in descending order.
1, -1, -4, v
Let m = 17 + -15.4. Let a = -6.72 + 1.72. Sort a, -1, m in increasing order.
a, -1, m
Let f = -531 - -514. Put -1, f, -2, 3 in ascending order.
f, -2, -1, 3
Let b(p) = p**3 + p**2. Let c be b(-2). Suppose 3*v - 2*i - i = 24, 2*v - 4*i = 24. Sort 0, v, c in decreasing order.
v, 0, c
Let g(d) = 26*d + 126. Let h be g(-5). Sort h, 1, -113, 0 in increasing order.
-113, h, 0, 1
Suppose -n + 3*x - 32 = 0, 4*n - 3*x + 168 - 67 = 0. Sort n, 2/7, -5 in increasing order.
n, -5, 2/7
Let a be -5*(-1)/10*4. Suppose -3*d - 14 = v, -a*d = -d - 4*v - 4. Let f(n) = -n - 5. Let o be f(-9). Put -3, d, o in descending order.
o, -3, d
Let l(g) be the first derivative of -g**2/2 - 8*g - 4. Let a be l(-7). Let k = -15 - -10. Sort a, k, -1/11 in increasing order.
k, a, -1/11
Let q(y) = -185*y - 1 + 192*y - 9 - y**2. Let l be q(6). Put 0, -30, l in descending order.
0, l, -30
Let b = -76 - -131. Let k = 188 + -189. Put k, 2, b in ascending order.
k, 2, b
Let g be 1 + 0 - 2/1. Let i = 80 - 82. Put i, g, -4 in increasing order.
-4, i, g
Suppose 7*d = 15*d - 40. Sort d, -5, -20 in increasing order.
-20, -5, d
Let j = 147.4 + -147.2. Put 13, -0.09, j in decreasing order.
13, j, -0.09
Let q(x) = x**3 - 5*x**2 + 3. Let u be q(5). Suppose -2*l = -11 - u. Let a be (7 + 506/(-77))*(-1)/3. Put a, -4, l in descending order.
l, a, -4
Suppose -77*u = -32 + 109. Put -2, u, -4 in decreasing order.
u, -2, -4
Let q be -8 + 4 + 9 + -2. Sort q, -4, -2, -5 in ascending order.
-5, -4, -2, q
Let l = -1640 - -1645. Sort l, 13/5, 3 in increasing order.
13/5, 3, l
Let c = -27 - -245/9. Let p be -2 + 2 - 0 - -1. Let x = 1/215 - 653/1720. Sort c, x, p in increasing order.
x, c, p
Let z = -59 - -43. Let m(k) = k**2 + 15*k - 21. Let t be m(z). Put -2, t, -4 in descending order.
-2, -4, t
Let l = 57 - 52. Suppose -12 = u - 5*u. Suppose 2 = -u*y + 11. Put l, -1, y in descending order.
l, y, -1
Let h(y) = y**2 + 8*y + 5. Let u be h(-9). Suppose -14 = -6*j - u. Put 3, 2, -4, j in descending order.
3, 2, j, -4
Let b be (-72)/192 - 3/(-8). Sort -2, 6, 1, b in increasing order.
-2, b, 1, 6
Let a(o) = 6*o**3 - o**2 + o - 1. Let u be a(1). Let b(s) = s**3 + 8*s**2 + 5*s - 14. Let x be b(-7). Let v(p) = -p**2 - 5*p. Let q be v(-4). Sort u, q, x.
x, q, u
Let b = -66 - -65.952. Let p = 15.952 - b. Put 5, p, -5 in decreasing order.
p, 5, -5
Let t = -88.5 + 88. Sort 1/10, -4/3, t in decreasing order.
1/10, t, -4/3
Let o be (-3*1)/(6/(-4)). Let m = 7.8 - 8.8. Put o, m, -0.3 in descending order.
o, -0.3, m
Let b(u) = -u**2 + 5*u + 3. Let d be b(5). Let n be 1 + (-1 - 4) + d. Suppose 4*z + 6 - 10 = 0. Sort -2, z, n in increasing order.
-2, n, z
Suppose -2*p - 22 = 38*a - 35*a, -5*p - 41 = 4*a. Put 0, 21, a, 4 in increasing order.
a, 0, 4, 21
Let t be (-4)/2 - (3 + -4). Let r be ((-1)/(-2))/(t/28). Let v(j) = -j**3 - 15*j**2 - 14*j + 1. Let s be v(r). Sort 4/5, 2, s in descending order.
2, s, 4/5
Suppose -3 + 9 = 3*t, 0 = 2*l - 3*t + 10. Suppose 0 = 4*y + 11 + 1. Let h be (108/(-27))/(-1 + 2). Sort y, h, l.
h, y, l
Let c = -85 + 83. Let p be c/15*(-15)/(-18)*2. Sort 16/5, p, 1, 2/5.
p, 2/5, 1, 16/5
Let s = 40 - 18. Let a = 13 + -31. Let o = s + a. Sort 1, o, 2 in ascending order.
1, 2, o
Let s be (-24)/40*60/18. Suppose -3*n = -5*n. Sort s, 7, n in increasing order.
s, n, 7
Let n = 0 - 2. Let z = -0.18 + -4.82. Let a = -6.1 - -6.5. Put z, a, n in descending order.
a, n, z
Let k = -584.3 + 584. Sort 3, k, -1.6, 4.
-1.6, k, 3, 4
Let k = -216 - -220. Put k, 3, 0, 2 in increasing order.
0, 2, 3, k
Suppose 0 = -26*j + 30*j + 16. Sort j, -2, 321 in decreasing order.
321, -2, j
Let q = -0.02 - -0.32. Let o = -114 + 115. Put 3, q, 1/2, o in decreasing order.
3, o, 1/2, q
Let m be (-11 - -8)/((0 - 1)/5). Suppose m = 3*z + 3. Put 0, z, 2 in descending order.
z, 2, 0
Suppose u = 3*u. Suppose 0 = 210*i + 32 + 104 + 284. Put i, u, -3, 1 in descending order.
1, u, i, -3
Let f = 108 - 89. Suppose 16*o = f*o + 6. Put 4, 2, o in decreasing order.
4, 2, o
Let f = -19/39 + 1/3. Put -11, f, 7 in descending order.
7, f, -11
Let k = -1425 - -1424. Put k, 2, -5, 63 in ascending order.
-5, k, 2, 63
Let p = 48 - 65. Let c = p - -15. Sort 0, 5, -3, c in decreasing order.
5, 0, c, -3
Let w( | {
"pile_set_name": "DM Mathematics"
} |
eger?
40
What is 6965 to the power of 1/3, to the nearest integer?
19
What is 24079 to the power of 1/5, to the nearest integer?
8
What is the square root of 12078 to the nearest integer?
110
What is the square root of 123071 to the nearest integer?
351
What is 14836 to the power of 1/8, to the nearest integer?
3
What is 745 to the power of 1/5, to the nearest integer?
4
What is the square root of 74993 to the nearest integer?
274
What is 275 to the power of 1/7, to the nearest integer?
2
What is the square root of 886 to the nearest integer?
30
What is the tenth root of 6116 to the nearest integer?
2
What is 5309 to the power of 1/3, to the nearest integer?
17
What is the cube root of 3010 to the nearest integer?
14
What is 108548 to the power of 1/2, to the nearest integer?
329
What is the third root of 160 to the nearest integer?
5
What is the square root of 1628 to the nearest integer?
40
What is the cube root of 103373 to the nearest integer?
47
What is 716 to the power of 1/2, to the nearest integer?
27
What is 26931 to the power of 1/2, to the nearest integer?
164
What is 1620 to the power of 1/8, to the nearest integer?
3
What is 6214 to the power of 1/2, to the nearest integer?
79
What is 2309 to the power of 1/7, to the nearest integer?
3
What is the fifth root of 3362 to the nearest integer?
5
What is 814 to the power of 1/6, to the nearest integer?
3
What is the fourth root of 67869 to the nearest integer?
16
What is 60209 to the power of 1/2, to the nearest integer?
245
What is the square root of 1116 to the nearest integer?
33
What is 4309 to the power of 1/8, to the nearest integer?
3
What is the cube root of 1135 to the nearest integer?
10
What is 2262 to the power of 1/3, to the nearest integer?
13
What is 15195 to the power of 1/2, to the nearest integer?
123
What is the third root of 999 to the nearest integer?
10
What is 6730 to the power of 1/9, to the nearest integer?
3
What is 2016 to the power of 1/3, to the nearest integer?
13
What is 1109 to the power of 1/8, to the nearest integer?
2
What is the square root of 945 to the nearest integer?
31
What is 779 to the power of 1/6, to the nearest integer?
3
What is 45837 to the power of 1/10, to the nearest integer?
3
What is 1408 to the power of 1/6, to the nearest integer?
3
What is 6242 to the power of 1/3, to the nearest integer?
18
What is the cube root of 1467 to the nearest integer?
11
What is the tenth root of 43101 to the nearest integer?
3
What is 165 to the power of 1/8, to the nearest integer?
2
What is the eighth root of 2392 to the nearest integer?
3
What is 82399 to the power of 1/2, to the nearest integer?
287
What is the fifth root of 1414 to the nearest integer?
4
What is 616 to the power of 1/2, to the nearest integer?
25
What is the tenth root of 167679 to the nearest integer?
3
What is 1178 to the power of 1/8, to the nearest integer?
2
What is the cube root of 1520 to the nearest integer?
11
What is 2801 to the power of 1/9, to the nearest integer?
2
What is the square root of 3982 to the nearest integer?
63
What is the third root of 13642 to the nearest integer?
24
What is 26664 to the power of 1/9, to the nearest integer?
3
What is the fourth root of 1244 to the nearest integer?
6
What is 144 to the power of 1/3, to the nearest integer?
5
What is 29659 to the power of 1/4, to the nearest integer?
13
What is the third root of 28534 to the nearest integer?
31
What is the square root of 39529 to the nearest integer?
199
What is the square root of 104650 to the nearest integer?
323
What is the fifth root of 47785 to the nearest integer?
9
What is 82305 to the power of 1/2, to the nearest integer?
287
What is 132701 to the power of 1/3, to the nearest integer?
51
What is the sixth root of 150635 to the nearest integer?
7
What is 8475 to the power of 1/10, to the nearest integer?
2
What is the eighth root of 3234 to the nearest integer?
3
What is the third root of 5457 to the nearest integer?
18
What is the third root of 384 to the nearest integer?
7
What is the square root of 3 to the nearest integer?
2
What is the fifth root of 29426 to the nearest integer?
8
What is the third root of 262 to the nearest integer?
6
What is the sixth root of 135122 to the nearest integer?
7
What is the cube root of 8648 to the nearest integer?
21
What is the tenth root of 4294 to the nearest integer?
2
What is 108224 to the power of 1/8, to the nearest integer?
4
What is 622 to the power of 1/2, to the nearest integer?
25
What is 12739 to the power of 1/2, to the nearest integer?
113
What is the seventh root of 7131 to the nearest integer?
4
What is the square root of 55670 to the nearest integer?
236
What is 5552 to the power of 1/3, to the nearest integer?
18
What is 7188 to the power of 1/3, to the nearest integer?
19
What is the cube root of 64612 to the nearest integer?
40
What is 39465 to the power of 1/6, to the nearest integer?
6
What is the seventh root of 13877 to the nearest integer?
4
What is 604 to the power of 1/10, to the nearest integer?
2
What is 2345 to the power of 1/6, to the nearest integer?
4
What is 33 to the power of 1/3, to the nearest integer?
3
What is the square root of 2219 to the nearest integer?
47
What is the square root of 1125 to the nearest integer?
34
What is the third root of 353 to the nearest integer?
7
What is 5409 to the power of 1/9, to the nearest integer?
3
What is the square root of 11993 to the nearest integer?
110
What is 27361 to the power of 1/3, to the nearest integer?
30
What is 152 to the power of 1/3, to the nearest integer?
5
What is 5156 to the power of 1/4, to the nearest integer?
8
What is the third root of 1346 to the nearest integer?
11
What is the sixth root of 15330 to the nearest integer?
5
What is the third root of 7135 to the nearest integer?
19
What is 17777 to the power of 1/3, to the nearest integer?
26
What is the fifth root of 181 to the nearest integer?
3
What is 6395 to the power of 1/9, to the nearest integer?
3
What is 7072 to the power of 1/6, to the nearest integer?
4
What is the cube root of 14257 to the nearest integer?
24
What is the tenth root of 1315 to the nearest integer?
2
What is 1995 to the power of 1/9, to the nearest integer?
2
What is the square root of 166504 to the nearest integer?
408
What is 144273 to the power of 1/8, to the nearest integer?
4
What is the square root of 9368 to the nearest integer?
97
What is the ninth root of 41592 to the nearest integer?
3
What is 5329 to the power of 1/2, to the nearest integer?
73
What is the square root of 1665 to the nearest integer?
41
What is the cube root of 2295 to the nearest integer?
13
What is the third root of 45231 to the nearest integer?
36
What is 180 to the power of 1/2, to the nearest integer?
13
What is the fourth root of 2609 to the nearest integer?
7
What is 48591 to the power of 1/5, to the nearest integer?
9
What is the square root of 749 to the nearest integer?
27
What is the ninth root of 3821 to the nearest integer?
3
What is the third root of 162 to the nearest integer?
5
What is the square root of 254 to the nearest integer?
16
What is 5226 to the power of 1/2, to the nearest integer?
72
What is the square root of 175010 to the nearest integer?
418
What is the square root of 63041 to the nearest integer?
251
What is 70725 to the power of 1/7, to the nearest integer?
5
What is the square root of 1163 to the nearest integer?
34
What is the cube root of 2619 to the nearest integer?
14
What is 112927 to the power of 1/2, to the nearest integer?
336
What is 95 to the power of 1/2, to the nearest integer?
10
What is 741 to the power of 1/3, to the nearest integer?
9
What is the tenth root of 42 to the nearest integer?
1
What is the cube root of 56187 to the nearest integer?
38
What is 1213 to the power of 1/2, to the nearest integer?
35
What is the square root of 12002 to the nearest integer?
110
What is the cube root of 1508 to the nearest integer?
11
What is 6529 to the power of 1/2, to the nearest integer?
81
What is the square root of 862 to the nearest integer?
29
What is the fourth root of 2782 to the nearest integer?
7
What is 16381 to the power of 1/2, to the nearest integer?
128
What is the square root of 9015 to | {
"pile_set_name": "DM Mathematics"
} |
lse
Is 19448665 a prime number?
False
Is 3155939 a composite number?
False
Is 330767 composite?
False
Is 50604337 composite?
True
Is 197996791 composite?
True
Is 626498897 a composite number?
False
Is 4799611 prime?
False
Is 30610903 prime?
True
Is 54902453 a prime number?
True
Is 1280438 a prime number?
False
Is 229583 a prime number?
True
Is 22688851 prime?
True
Is 27828797 composite?
False
Is 26792939 a composite number?
False
Is 1048387 a prime number?
True
Is 551006 a composite number?
True
Is 226001297 prime?
True
Is 6013211 a prime number?
True
Is 24963034 composite?
True
Is 1326541 a composite number?
True
Is 47947499 composite?
True
Is 692047 a prime number?
False
Is 20841701 composite?
True
Is 56648539 prime?
False
Is 13747495 prime?
False
Is 1047601967 prime?
True
Is 8375179 prime?
False
Is 377079429 prime?
False
Is 169874283 a composite number?
True
Is 2111119 a composite number?
True
Is 12423583 a prime number?
False
Is 26743627 composite?
True
Is 639821135 prime?
False
Is 1473187 a prime number?
True
Is 108375251 composite?
True
Is 1292432699 composite?
True
Is 5391209 prime?
True
Is 584713 a composite number?
False
Is 14692661 a composite number?
False
Is 284539289 a prime number?
False
Is 121668217 prime?
False
Is 5001259 a prime number?
False
Is 2267918 a composite number?
True
Is 27764419 a composite number?
True
Is 228068411 composite?
False
Is 101718833 a composite number?
False
Is 117720103 a prime number?
True
Is 160071193 prime?
True
Is 13754123 a composite number?
False
Is 725273 a composite number?
False
Is 2095177 a prime number?
False
Is 1044977 prime?
False
Is 341741207 a composite number?
False
Is 35777869 prime?
False
Is 16591571 prime?
True
Is 78007589 prime?
False
Is 17686343 a prime number?
True
Is 182771011 composite?
False
Is 12457187 composite?
False
Is 697969 prime?
False
Is 27968263 a prime number?
False
Is 19473637 a prime number?
True
Is 71639023 prime?
True
Is 934277 a prime number?
True
Is 1309573 a composite number?
True
Is 183488533 composite?
True
Is 407897 a composite number?
True
Is 2342933 a composite number?
False
Is 10088557 a composite number?
False
Is 52354891 a prime number?
True
Is 12456817 composite?
False
Is 10430383 a composite number?
True
Is 2620223 prime?
True
Is 1638003 prime?
False
Is 4552151 a composite number?
False
Is 3824409 a prime number?
False
Is 3551981 a composite number?
False
Is 10311289 composite?
True
Is 3166403 a composite number?
True
Is 95484167 prime?
True
Is 390638 a prime number?
False
Is 558135691 prime?
True
Is 2860891 a prime number?
False
Is 2518739 prime?
False
Is 2329027 composite?
False
Is 9101569 a composite number?
True
Is 25006273 a composite number?
False
Is 65062271 composite?
False
Is 10333067 a prime number?
True
Is 449921 a composite number?
False
Is 7426831 composite?
True
Is 9826669 a prime number?
True
Is 5499757 a composite number?
True
Is 11636149 prime?
False
Is 4080191 a composite number?
False
Is 563118235 a composite number?
True
Is 35970973 composite?
True
Is 548081 prime?
False
Is 33934097 composite?
True
Is 1472197 a prime number?
True
Is 1220017 prime?
False
Is 7840834 a prime number?
False
Is 2535977 a prime number?
True
Is 196920481 a prime number?
True
Is 87851 composite?
True
Is 24887859 a prime number?
False
Is 618547087 prime?
True
Is 26922529 a composite number?
True
Is 19590877 a prime number?
True
Is 22948489 prime?
True
Is 890459 a prime number?
True
Is 838003 prime?
True
Is 1161829 a prime number?
True
Is 2945933 composite?
False
Is 226471 composite?
True
Is 54148001 prime?
True
Is 3318211 prime?
False
Is 67282739 a prime number?
False
Is 498739 prime?
True
Is 5958991 composite?
True
Is 354671258 prime?
False
Is 1385369 composite?
False
Is 50892771 a composite number?
True
Is 999917 prime?
True
Is 41269 prime?
True
Is 220043 a composite number?
True
Is 73679623 a prime number?
True
Is 9543109 a prime number?
True
Is 1156403 a prime number?
True
Is 46819931 prime?
True
Is 84138241 a composite number?
True
Is 6992383 a composite number?
False
Is 1643140055 a prime number?
False
Is 9602503 a composite number?
True
Is 1133182093 a composite number?
False
Is 99745 a composite number?
True
Is 2854391 a prime number?
True
Is 112349759 a prime number?
False
Is 6160979 a prime number?
False
Is 34626727 a prime number?
False
Is 27773177 composite?
True
Is 1453385381 prime?
False
Is 3165829 a prime number?
True
Is 29461471 prime?
False
Is 4858471 a prime number?
False
Is 29331959 prime?
True
Is 27564749 a prime number?
True
Is 884651 composite?
False
Is 18333065 a composite number?
True
Is 543990929 a composite number?
False
Is 1406167 composite?
True
Is 5455309 a composite number?
False
Is 409575709 composite?
False
Is 1770079 a prime number?
False
Is 1199587 a composite number?
False
Is 2892341 prime?
True
Is 289890499 prime?
False
Is 4320317 prime?
False
Is 75622303 a composite number?
False
Is 116150387 a prime number?
False
Is 40868161 a composite number?
False
Is 3881959 prime?
True
Is 4410439 a composite number?
True
Is 18214363 a composite number?
False
Is 3298387 composite?
False
Is 1540703 a composite number?
True
Is 3505619 a prime number?
False
Is 84784291 prime?
True
Is 934406981 composite?
False
Is 11143333 a composite number?
False
Is 56232763 prime?
False
Is 884999629 a composite number?
False
Is 22203043 prime?
True
Is 100590781 a composite number?
False
Is 168349603 a prime number?
True
Is 189983459 prime?
False
Is 379687369 composite?
False
Is 393137 a composite number?
False
Is 2810471 a prime number?
True
Is 5364169 a prime number?
True
Is 43273821 a prime number?
False
Is 2206997 a composite number?
True
Is 11448791 composite?
False
Is 6182147 a prime number?
False
Is 38030873 composite?
False
Is 690037 a composite number?
False
Is 144416741 a composite number?
True
Is 22961023 a composite number?
True
Is 164939879 prime?
False
Is 1323239 a composite number?
True
Is 281664893 composite?
False
Is 101673647 a prime number?
False
Is 957529 a prime number?
True
Is 3346531 composite?
False
Is 386489573 a prime number?
True
Is 17153855 a composite number?
True
Is 122099401 composite?
True
Is 18065617 composite?
False
Is 665341 a prime number?
False
Is 266064947 composite?
False
Is 601061 a composite number?
False
Is 309527 prime?
False
Is 2142923 a prime number?
True
Is 44772821 a prime number?
False
Is 12558661 prime?
False
Is 1766263 a prime number?
False
Is 43541741 a prime number?
True
Is 2824253 a prime number?
False
Is 473032691 a composite number?
False
Is 21304903 composite?
True
Is 133292491 composite?
True
Is 493095167 composite?
False
Is 5088157 a composite number?
False
Is 362526569 a prime number?
True
Is 52203706 a prime number?
False
Is 295183 prime?
False
Is 115382347 a composite number?
True
Is 29627113 prime?
True
Is 10875127 composite?
True
Is 56219623 prime?
True
Is 4915667 a composite number?
True
Is 24398509 a composite number?
False
Is 7176203 a composite number?
False
Is 2876758 composite?
True
Is 36926663 a composite number?
True
Is 4537609 a composite number?
True
Is 57067999 a composite number?
False
Is 3245227 prime?
False
Is 11016449 composite?
False
Is 2564381 prime?
True
Is 411267959 a composite number?
False
Is 12890311 a composite number?
True
Is 1004651 composite?
False
Is 16822111 prime?
False
Is 639682811 prime?
False
Is 31090559 a composite number?
False
Is 125329 a prime number?
True
Is 1408259 a prime number?
False
Is 3347161 a prime number?
True
Is 14601523 prime?
True
Is 18889517 composite?
False
Is 19931753 composite?
False
Is 1225423 a prime number?
False
Is 594863 a composite number?
True
Is 9213979 a prime number?
True
Is 1690050881 composite?
False
Is 19761635 a prime number?
False
Is 4057741 a prime number?
False
Is 4984163 prime?
True
Is 71188027 composite?
True
Is 50389873 composite?
False
Is 25169983 a composite number?
False
Is 202657859 a prime number?
True
Is 7179265 a prime number?
False
Is 761717 prime?
False
Is 3862141 a prime number?
True
Is 3074899 a composite number?
True
Is 339254081 composite?
False
Is 9747623 prime?
False
Is 3549423 composite?
True
Is 69849721 a prime number?
False
Is 179506 prime?
False
Is 11191381 a composite number?
False
Is 418105027 | {
"pile_set_name": "DM Mathematics"
} |
w = -36 - g. Which is the fourth biggest value? (a) 1 (b) -1/3 (c) w (d) -1/7
b
Let m be -7 + -2 + 5 + -2. Let x = -1 - m. Let z = 5 - 3. Which is the second biggest value? (a) x (b) z (c) 1
b
Let x = -2298 - -6895/3. What is the fourth smallest value in -4/5, 5, 2, x?
5
Let f(c) = -2*c**2 + 32*c - 119. Let q be f(10). What is the third smallest value in q, 29, 1.7?
29
Suppose -56*g + 37 + 355 = 0. What is the smallest value in -5, 3/2, 4, g?
-5
Let y = -5 + 16. Suppose -3 = -4*p - y. Let s = 12 + -7. Which is the third smallest value? (a) p (b) s (c) 3
b
Let v = 0.529 + 0.061. Let y = 281.91 - 282. Let t = y + v. Which is the second smallest value? (a) 5 (b) 2 (c) t
b
Let r = 0.21 + -8.21. Let y = -199.2 + 191. Let t = y - r. Which is the third smallest value? (a) t (b) 4 (c) 1/6
b
Let l(r) be the second derivative of r**3/3 + 5*r**2/2 + 5*r. Let p be l(-5). Let f = 0.1 + 0.4. Which is the second biggest value? (a) 0.2 (b) p (c) f
a
Let z be ((-1)/(-8))/(-1*(-5)/(-30)). What is the smallest value in -5, z, 0, 2?
-5
Let t = 20915/4 - 4204207/804. Let j = -2/67 - t. Let g = 1.4 + 2.6. Which is the second smallest value? (a) 4/9 (b) g (c) j
a
Let z = -6 + 4. Let x = -0.414 + 1.414. What is the third biggest value in -1, x, z, -2/9?
-1
Let g = -3.97 + 0.97. Let f = -7 + 7. Which is the smallest value? (a) -5 (b) f (c) g
a
Let u = -6899/12628 - -1/1148. Let l = 145 + -150. Which is the smallest value? (a) u (b) -4 (c) l
c
Let l = -394.7 + 395. What is the third biggest value in -5, l, -72?
-72
Let j = 11/15 - 2/5. What is the second biggest value in j, 153, -0.4?
j
Let f be -1 - (-2 - (5 + -3)). Let z = 23 - 35. Let v = -12.4 - z. Which is the third smallest value? (a) v (b) f (c) -0.5
b
Suppose -2*r + 4*v - 18 = -82, -67 = -2*r + v. Let j = -4749 + 18859/4. Let k = j + r. Which is the biggest value? (a) 0.1 (b) 0.5 (c) k
b
Let s be 2/7 + ((-1941)/399 - -5). Let y = s - 2/95. Which is the biggest value? (a) -4/7 (b) y (c) 1/4 (d) -4
b
Let w = 2 - 2.1. Let m = 109.984 + -110. Let f = -0.044 + m. What is the third biggest value in w, -4, f?
-4
Let h = 8/59 + -292/413. Suppose 0 = -2*q - 2*q - 20. What is the second smallest value in 13, q, h?
h
Let f = 10/130687 + -5500064/146500127. Let m = -4/59 + f. Let t = -0.01 - 2.99. What is the second smallest value in m, -1/8, t?
-1/8
Let b = 2.03 - 3.03. What is the biggest value in 9, 2, b?
9
Let g = 73/378 + 5/54. What is the smallest value in 0.3, g, -0.3, 0.4?
-0.3
Let o be 1*(140/8)/(-7). Which is the biggest value? (a) -0.3 (b) o (c) 10
c
Let g be (-48)/180*(-12)/8. What is the second biggest value in 5, g, -2, 0.11?
g
Let u = 3917/4 + -978. Let n(h) = -h**2 + 7*h - 3. Let r be n(6). What is the fourth smallest value in -3, 4, u, r?
4
Let d be 15/20 + 4 + (-67)/12. Let q = -0.41 + 0.01. What is the third smallest value in q, -0.6, -1/2, d?
-1/2
Let v = 1 - 5. Let f be 4810/(-403) - -12 - 96/527. What is the smallest value in f, 2, v?
v
Let d = 127.9 - 129.5. Which is the third smallest value? (a) 1 (b) 6 (c) d
b
Let y = 226 - 223. Which is the second smallest value? (a) -4 (b) -16 (c) y
a
Let a be 64/(-18)*-3 - 11. What is the biggest value in 1/4, 2, 4, a?
4
Let g be 1 + (8/(-3) - -2). Let a = 5609.05 - 5609. What is the fourth smallest value in a, -4, -3/7, g?
g
Let d = 0.03 - 0.33. Let m = -1164 - -1169.41. Let h = m + -0.41. Which is the second smallest value? (a) h (b) d (c) -0.5
b
Let w = -369 - -360. What is the smallest value in w, 4, 0.1?
w
Suppose -8 = -0*x + x - 4*p, 17 = x + p. Let q be 0/(8/x*3). Suppose -4*d - 3*n = -11, q = 3*d + 4*n - 0*n - 10. What is the biggest value in 13, d, -3/2?
13
Let n = 845 - 844. What is the biggest value in 3/5, 4, n?
4
Let d = 6196 + -6198. Let z be (-66)/(-14) + (-4)/(-14). Which is the biggest value? (a) z (b) d (c) 2/21
a
Let m = -155 + 158. Which is the biggest value? (a) 1 (b) m (c) -13 (d) -0.2
b
Suppose 0 = 2*f + 3*f. Let g be 1 + f + 57/(-51). What is the third smallest value in -0.6, g, 0.5?
0.5
Let n = -519 + 125. Let x = n + 4331/11. Which is the smallest value? (a) 2/5 (b) 5 (c) x
c
Let j = 3.3 + -3. Let w be 7 - -28*18/(-63). What is the third biggest value in 2, w, -1/8, j?
-1/8
Let t be 10/(-112) - (-36)/96. Suppose 5*d - 30 = 2*s + s, -3*d + 18 = 5*s. Suppose g = 4*g + d. What is the second smallest value in g, 0, t?
0
Let u = 11.8 - 11.8. Which is the third smallest value? (a) 2 (b) -10 (c) u
a
Let v = -264 + 261. What is the fourth smallest value in 0.15, 1, -0.4, v?
1
Let p = -74 + 48. Let y = p - -28. Let j = -0.1 + -0.3. Which is the third biggest value? (a) y (b) -5 (c) j
b
Let h = 61/4 + -16. Let s = 0.04 - -0.01. Let r = s - 0.45. Which is the smallest value? (a) h (b) r (c) 0.3
a
Let g = 14 - 13.92. Let h = -1.08 + g. Let w = 0.1 + -0.1. Which is the second biggest value? (a) h (b) w (c) 3
b
Let l = -0.8 + 5.6. Let t = 5.2 - l. Which is the third smallest value? (a) -2/3 (b) t (c) -2/7 (d) 2
b
Let c = -2.999 - 0.001. What is the third smallest value in -0.5, c, 10/7, -2/5?
-2/5
Let g = -30 + 33.4. Let l = 15.6 - 14. Let n = g + l. Which is the second smallest value? (a) n (b) 2 (c) 0.5
b
Let a = 129 + 58. Let t = -186 + a. Let f = -0.07 + -0.23. What is the biggest value in 5, f, t?
5
Let n be ((-90)/(-27))/(9/(135/10)). Which is the third biggest value? (a) n (b) 11/2 (c) -0.18
c
Let q = 0.02 + 1.28. Let o = q - 4.3. What is the second biggest value in 4, o, 0.13?
0.13
Let k be 15/(-20)*8/(-30). What is the fourth smallest value in 113/2, -1/3, 4, k?
113/2
Let n = 0.71 + 3.29. Which is the smallest value? (a) -6/5 (b) -19 (c) n
b
Let d = -0.07 + 5.07. Let z = -228.1 - -224.1. What is the third biggest value in z, -6, d?
-6
Let k = -18 + 55. What is the smallest value in 0.3, -5, k?
-5
Suppose -126*x - 190 - 188 = 0. What is the third smallest value in x, 0.389, 2?
2
Let v = -17431 - -17348.31. Let l = v + 87.9. Let g = -0.21 + l. What is the third smallest value in -0.5, 2/15, g?
g
Let c = 7.64 + -7.7. What is the smallest value in 2, 1, c?
c
Let w = 6628 + -33827/5. Suppose 3*g - 539 = -4*s, 10*g - 12*g - 554 = -4*s. Let y = w + s. Which is the third biggest value? (a) y (b) 0 (c) 2
a
Let j(i) = 2*i**2 - 26*i - 29. Let y be j(14). Let d be (-12)/52*y/(-9). What is the second smallest value in d, 2/7, -5?
d
Let h = 241 - 239. Which is the third biggest value? (a) -13 (b) h (c) -4
a
Let v = -0.053 - 0.607. Let u = 1.66 + v. What is the fourth biggest value in -0.5, 1/3, -6, u?
-6
Let o = -4.6 + 4.66. Let g = 4.96 + -5. Let m = g + 0.14. Which is the second smallest value? (a) o (b) m (c) 1/6
b
Let z = 474 - 450.3. Let r = 1.3 + z. Which is the second smallest value? (a) r (b) -1/4 (c) -5
b
Let w = 0.24 - -0.06. Let f = 6 + -5.6. Let d = -0.19 + -0.01. What is the third smallest value in f, w, d?
f
Let o = -2.175 + 1.975. What is the third smallest value in 559, o, -2?
559
Let d = -16.15 + 16. Let x = d - -0.13. Let p = -0.08 + x. What is the third biggest value in p, -2, 1/6?
-2
Suppose 0 = -10*r + 8*r - 4. Let v = 1.2 - 1. What is the second biggest value in r, v, 0.4, 18?
0.4
Let d = -37/60 - 1/20. Let h be 1/(386/(-388) + 1). Let k = h + -1355/7. Which is the biggest value? (a) -3 (b) k (c) d
b
Let a = 40 - -21. Let o = a - 57. What is the second biggest value in o, -0.1, -3, -0.2?
-0.1
Let l = 4.1 + 0. Let d = 0.1 - l. Let v = -3 - -2.6. Which is the smallest value? (a) -0.3 (b) v (c) d
c
Let x(v) = v + 32. Let m be x(0). Let g = 7 - m. Let q be g/9 + (-14)/63. Which is the third biggest value? (a) -5 (b) 0.3 (c) q
a
Let f(q) = 10*q**2 + 3*q + 6. Let y be f(-2). Let k be 83/(-5) - 16/y. Let i = -53/3 - k. Which is the smallest value? (a) 3 (b) i (c) -1
c
Let i be 4*((-14)/35)/2. Let x(z) = 3*z - 6. Let v be x(4). Which is the smallest value? (a) 2 (b) v (c) i
c
Let m = -4/281 - 3352/1405. Which is the biggest value? (a) 1 (b) -1/8 (c) m
a
Let j = 121658/7 + -17380. Let d = 0.6 + -0.1. What is the second smallest value in -5, d, 0.2, j?
j
Suppose 2*i - i = 5. Suppose m + 3 = -i*l - 2, 0 = -3*m - 3*l - 39. Let n be (-5)/(-4) + (m - -14). Which is the third biggest value? (a) -1/8 (b) 0 (c) n
a
Let m = 3.54 | {
"pile_set_name": "DM Mathematics"
} |
re in 3/8 of a kilometer?
375
Convert 812.9466 decades to years.
8129.466
What is 13/7 of a week in minutes?
18720
What is 4174.541us in milliseconds?
4.174541
How many microseconds are there in 2.905896 weeks?
1757485900800
How many months are there in 77/2 of a century?
46200
Convert 5.145583 micrometers to millimeters.
0.005145583
How many milligrams are there in seventeen quarters of a gram?
4250
What is 18/5 of a gram in milligrams?
3600
What is 392978.439 seconds in weeks?
0.6497659375
How many milliseconds are there in 7/2 of a second?
3500
What is 1/30 of a millennium in months?
400
How many hours are there in seven quarters of a week?
294
How many microseconds are there in 91320.05s?
91320050000
Convert 8252.232 days to microseconds.
712992844800000
Convert 8893.688m to centimeters.
889368.8
What is 15/4 of a kilometer in meters?
3750
What is six fifths of a meter in centimeters?
120
What is 1/5 of a hour in minutes?
12
What is 47.57749 nanograms in kilograms?
0.00000000004757749
How many minutes are there in 2141653.2s?
35694.22
How many millilitres are there in 9044.973l?
9044973
How many kilograms are there in seventeen quarters of a tonne?
4250
How many millennia are there in 0.1442854 decades?
0.001442854
What is 3/25 of a hour in seconds?
432
How many months are there in 3/40 of a century?
90
How many nanometers are there in 3/50 of a micrometer?
60
How many millilitres are there in 3/5 of a litre?
600
What is 3/10 of a milligram in micrograms?
300
What is 48/5 of a century in years?
960
How many months are there in 1/20 of a decade?
6
How many years are there in 11/2 of a millennium?
5500
What is 40388.29g in tonnes?
0.04038829
How many seconds are there in 0.0872923 nanoseconds?
0.0000000000872923
How many meters are there in one quarter of a kilometer?
250
What is 3.701846 kilometers in centimeters?
370184.6
Convert 80.10107l to millilitres.
80101.07
Convert 9418.896m to millimeters.
9418896
How many grams are there in 4168.857ug?
0.004168857
How many micrograms are there in 15/4 of a milligram?
3750
What is one quarter of a millennium in decades?
25
How many centimeters are there in 49/4 of a meter?
1225
What is one tenth of a kilogram in milligrams?
100000
What is 6/5 of a litre in millilitres?
1200
How many micrometers are there in 0.1436085 kilometers?
143608500
Convert 764.956 kilograms to nanograms.
764956000000000
What is 4258.65951ms in weeks?
0.000007041434375
How many litres are there in 566.6165ml?
0.5666165
How many microseconds are there in 5/8 of a millisecond?
625
How many months are there in thirty-four fifths of a millennium?
81600
How many millimeters are there in three eighths of a meter?
375
Convert 5556.946 decades to centuries.
555.6946
How many grams are there in 3/40 of a kilogram?
75
Convert 0.0093814 decades to months.
1.125768
How many grams are there in fourty-seven quarters of a kilogram?
11750
What is 7/4 of a micrometer in nanometers?
1750
What is 4.086795mm in meters?
0.004086795
How many millilitres are there in 21/4 of a litre?
5250
What is 94105.87 tonnes in grams?
94105870000
What is 156.0394 millimeters in micrometers?
156039.4
What is 3/50 of a gram in micrograms?
60000
How many minutes are there in 13/8 of a week?
16380
What is two fifteenths of a millennium in months?
1600
Convert 523.0165km to millimeters.
523016500
What is 25/4 of a centimeter in micrometers?
62500
What is 1/20 of a kilogram in milligrams?
50000
What is 231.09435 months in centuries?
0.192578625
How many months are there in seven thirds of a century?
2800
How many grams are there in 48/5 of a kilogram?
9600
What is 3.70321 litres in millilitres?
3703.21
How many millilitres are there in 97482.85 litres?
97482850
How many months are there in 1/10 of a millennium?
1200
What is seventy-one quarters of a kilometer in meters?
17750
What is fourty-one halves of a millimeter in micrometers?
20500
What is 5/4 of a microsecond in nanoseconds?
1250
How many litres are there in 172.6323ml?
0.1726323
What is 48.4094 years in months?
580.9128
Convert 177349.9 litres to millilitres.
177349900
How many centuries are there in 659631.6 millennia?
6596316
What is 8173.896 millimeters in meters?
8.173896
What is 8/25 of a tonne in kilograms?
320
How many millilitres are there in 15/4 of a litre?
3750
Convert 25.64122 grams to kilograms.
0.02564122
Convert 126516.1 tonnes to nanograms.
126516100000000000000
How many millilitres are there in twenty-seven quarters of a litre?
6750
Convert 1142035.713ns to weeks.
0.0000000018882865625
What is 1/24 of a decade in months?
5
What is 3/40 of a microsecond in nanoseconds?
75
How many tonnes are there in 0.7501478 kilograms?
0.0007501478
How many meters are there in seventeen quarters of a kilometer?
4250
How many centimeters are there in 6670.093 micrometers?
0.6670093
What is 5692.49g in tonnes?
0.00569249
Convert 1397329.2s to hours.
388.147
What is 3/25 of a century in months?
144
How many nanograms are there in 21/4 of a microgram?
5250
What is 0.4354695 millilitres in litres?
0.0004354695
What is 7/8 of a millisecond in microseconds?
875
What is 0.0841745ml in litres?
0.0000841745
What is 3/10 of a millimeter in micrometers?
300
How many millilitres are there in thirty-one fifths of a litre?
6200
Convert 0.1145102ms to seconds.
0.0001145102
What is three fifths of a milligram in micrograms?
600
Convert 0.7646706 minutes to microseconds.
45880236
How many tonnes are there in 4504.671 nanograms?
0.000000000004504671
How many millilitres are there in 6.054204 litres?
6054.204
What is 509.1867 years in decades?
50.91867
How many decades are there in 777.3722 years?
77.73722
Convert 6.702802 kilometers to nanometers.
6702802000000
Convert 97.60457 milliseconds to microseconds.
97604.57
What is 3/40 of a millennium in years?
75
Convert 5719.851 months to decades.
47.665425
Convert 1.743728 litres to millilitres.
1743.728
How many micrograms are there in 164.5732t?
164573200000000
Convert 93.66887 micrograms to tonnes.
0.00000000009366887
What is three fifths of a kilometer in centimeters?
60000
How many centimeters are there in 73/4 of a meter?
1825
What is one tenth of a century in decades?
1
What is seven quarters of a kilometer in meters?
1750
How many centuries are there in 371.552 years?
3.71552
What is 88.03087t in kilograms?
88030.87
How many micrometers are there in one twentieth of a millimeter?
50
How many minutes are there in 17/4 of a day?
6120
Convert 6727.483 litres to millilitres.
6727483
What is fifty-seven fifths of a tonne in kilograms?
11400
How many micrograms are there in fifteen quarters of a milligram?
3750
How many millilitres are there in 1/20 of a litre?
50
Convert 330547.6 milligrams to kilograms.
0.3305476
Convert 6223.28l to millilitres.
6223280
How many grams are there in 41/2 of a kilogram?
20500
How many litres are there in 55974.15ml?
55.97415
How many nanoseconds are there in 12/25 of a microsecond?
480
Convert 26726.42mg to nanograms.
26726420000
How many months are there in eight thirds of a year?
32
How many nanograms are there in 44460.26kg?
44460260000000000
How many nanograms are there in 5/8 of a microgram?
625
How many millilitres are there in sixty-one quarters of a litre?
15250
Convert 45656.01 years to decades.
4565.601
How many nanoseconds are there in 7/2 of a microsecond?
3500
How many millilitres are there in 1/4 of a litre?
250
How many kilograms are there in 7/2 of a tonne?
3500
Convert 0.5815409 centuries to decades.
5.815409
How many millilitres are there in 720296.5 litres?
720296500
What is 21/2 of a meter in centimeters?
1050
Convert 39.30449 litres to millilitres.
39304.49
How many seconds are there in 1/9 of a week?
67200
What is 4/15 of a century in months?
320
How many millennia are there in 7.864767 decades?
0.07864767
What is 0.0678315 meters in micrometers?
67831.5
Convert 2047764.81 hours to weeks.
12189.07625
What is 0.5406728 grams in nanograms?
540672800
What is fourty-nine fifths of a decade in months?
1176
Convert 648391.2 hours to seconds.
2334208320
How many seconds are there in three tenths of a minute?
18
How many hours are there in 1.5981228 minutes?
0.02663538
How many months are there in 10/3 of a year?
40
How many d | {
"pile_set_name": "DM Mathematics"
} |
4 + 766304*j**3 - 2276736*j**2.
2*j**2*(j - 616)**2*(j - 3)
Factor a**5/5 + 12*a**4/5 + 46*a**3/5 + 12*a**2 + 5*a.
a*(a + 1)**2*(a + 5)**2/5
Suppose -3*t**4/7 + 15315*t**3/7 - 19584018*t**2/7 + 97629300*t/7 - 117045000/7 = 0. What is t?
2, 3, 2550
Determine k so that -k**2/5 + 1729938*k/5 - 748171370961/5 = 0.
864969
Solve -16*s**4 - 920*s**3 - 13257*s**2 - 6457*s - 800 = 0.
-32, -25, -1/4
Factor 3*r**3 - 138*r**2 - 2892*r - 5208.
3*(r - 62)*(r + 2)*(r + 14)
Suppose -3*n**5/5 + 108*n**3 - 462*n**2 - 3897*n/5 + 1134 = 0. Calculate n.
-15, -2, 1, 7, 9
Suppose -4*f**4 - 14628*f**3 - 116724*f**2 + 160628*f + 262728 = 0. Calculate f.
-3649, -9, -1, 2
Factor i**2 + 392*i + 24492.
(i + 78)*(i + 314)
Factor 3*c**4 + 5541*c**3 - 12*c**2 - 22164*c.
3*c*(c - 2)*(c + 2)*(c + 1847)
Factor -5*i**2 + 34080*i + 34085.
-5*(i - 6817)*(i + 1)
Determine o, given that 15*o**5 + 745*o**4 - 11290*o**3 + 56360*o**2 - 118880*o + 90240 = 0.
-188/3, 2, 3, 4
Find b such that 4*b**3 - 1702*b**2/3 - 380*b = 0.
-2/3, 0, 285/2
Determine m, given that 3*m**4/4 + 9027*m**3 - 18063*m**2/2 - 45141*m - 108333/4 = 0.
-12037, -1, 3
Solve -r**4/3 + 11*r**3 + 81*r**2 - 337*r/3 - 182 = 0 for r.
-7, -1, 2, 39
Determine g, given that -36*g**3 + 1864*g**2 + 416*g = 0.
-2/9, 0, 52
Determine u, given that 4*u**5 + 388*u**4 + 10500*u**3 + 45900*u**2 - 243000*u = 0.
-45, -10, 0, 3
Let -2*i**3/5 - 2922*i**2/5 + 2924*i/5 = 0. What is i?
-1462, 0, 1
Factor 2*a**3/9 - 1118*a**2/3 + 469280*a/3 - 1404488/9.
2*(a - 838)**2*(a - 1)/9
Determine h so that -3*h**2 - 124005*h - 1115802 = 0.
-41326, -9
Let p**2 - 77*p + 292 = 0. What is p?
4, 73
What is a in 36481*a**3 - 511307*a**2 + 32097*a/4 - 63/2 = 0?
3/382, 14
Find w, given that 2*w**4/5 - 562*w**3/5 - 13382*w**2/5 + 15058*w/5 + 27876/5 = 0.
-23, -1, 2, 303
Suppose -25*s**4 + 5355*s**3 - 337070*s**2 + 5136000*s - 1013760 = 0. What is s?
1/5, 22, 96
Suppose 2844*y**4 - 22749*y**3/4 + 5685*y**2/2 + 3*y/4 = 0. Calculate y.
-1/3792, 0, 1
Factor 2*r**2/5 + 952*r/5 + 1896/5.
2*(r + 2)*(r + 474)/5
Factor 2*w**2 - 58730*w - 234952.
2*(w - 29369)*(w + 4)
Factor 3*b**2 - 1755*b - 65100.
3*(b - 620)*(b + 35)
Determine x, given that -3*x**2/5 + 1281*x/5 - 1278/5 = 0.
1, 426
Factor -3*r**3 + 54*r**2 + 243*r - 1134.
-3*(r - 21)*(r - 3)*(r + 6)
Suppose 201*l**5 + 3612*l**4 + 19188*l**3 + 27966*l**2 + 11811*l - 378 = 0. Calculate l.
-9, -7, -1, 2/67
Factor -t**4/6 + 85*t**3/6 + 29*t**2.
-t**2*(t - 87)*(t + 2)/6
Factor -k**3/8 - 3*k**2/4 + 235*k/8 - 57/2.
-(k - 12)*(k - 1)*(k + 19)/8
Factor -r**2/5 - 3094*r/5 + 150816/5.
-(r - 48)*(r + 3142)/5
Factor u**4 + 4910*u**3 + 6017196*u**2 - 24132654*u + 18110547.
(u - 3)*(u - 1)*(u + 2457)**2
Determine z so that -2*z**4 - 1604*z**3 + 3230*z**2 + 11264*z + 6432 = 0.
-804, -1, 4
What is t in t**5/3 - 5*t**4/3 + 20*t**2/3 - 16*t/3 = 0?
-2, 0, 1, 2, 4
What is p in -4*p**3 - 700*p**2 - 2748*p - 2052 = 0?
-171, -3, -1
Factor j**4/3 + 587*j**3 + 261631*j**2 + 8453375*j/3 + 4593750.
(j + 2)*(j + 9)*(j + 875)**2/3
What is p in 2*p**3 + 3810*p**2 + 37948*p + 90960 = 0?
-1895, -6, -4
Suppose -2*n**3 + 13752*n**2 - 82458*n + 123660 = 0. Calculate n.
3, 6870
Find n, given that 4*n**4 - 180*n**3 + 1664*n**2 + 4080*n = 0.
-2, 0, 17, 30
Let 4489*s**4/3 + 39262*s**3/3 + 19616*s**2 + 28450*s/3 + 4375/3 = 0. Calculate s.
-7, -1, -25/67
Factor 4*r**2 + 2104*r + 138292.
4*(r + 77)*(r + 449)
Solve -14*b**4/9 - 682*b**3/9 - 6776*b**2/9 - 4376*b/3 + 480 = 0.
-36, -10, -3, 2/7
Factor -2*s**3/3 - 23720*s**2/3 + 15816*s.
-2*s*(s - 2)*(s + 11862)/3
Factor v**3/5 - 25*v**2 - 382*v/5 - 256/5.
(v - 128)*(v + 1)*(v + 2)/5
Find q, given that -2*q**3/9 + 1606*q**2/3 + 266230*q/3 + 32041294/9 = 0.
-79, 2567
Determine k so that -54*k**5 + 991*k**4 + 688*k**3 - 433*k**2 - 76*k = 0.
-1, -4/27, 0, 1/2, 19
Factor 3*x**3 + 1437*x**2 - 2886*x.
3*x*(x - 2)*(x + 481)
Determine t, given that -3*t**5/4 + 297*t**4/4 + 396*t**3 - 615*t**2 - 936*t = 0.
-6, -1, 0, 2, 104
Suppose -2*u**5/15 - 3530*u**4/3 - 58772*u**3/5 - 28204*u**2/3 + 176318*u/15 + 10578 = 0. Calculate u.
-8815, -9, -1, 1
Solve -4*f**2 - 828*f - 7880 = 0.
-197, -10
Factor -5*a**4 + 865*a**3 - 36060*a**2 - 119680*a + 154880.
-5*(a - 88)**2*(a - 1)*(a + 4)
Factor -2*g**3/3 + 98*g**2/3 - 32*g.
-2*g*(g - 48)*(g - 1)/3
Solve 4*n**2 - 2560*n + 25200 = 0 for n.
10, 630
Let -3*s**3/2 - 21705*s**2/2 - 39269769*s/2 - 39248067/2 = 0. What is s?
-3617, -1
Determine x so that -5*x**2 - 85765*x - 85760 = 0.
-17152, -1
Determine j so that 2*j**2/17 - 3319956*j/17 + 1377763480242/17 = 0.
829989
Factor -9*a**2 - 573*a - 1110.
-3*(a + 2)*(3*a + 185)
Factor -r**2 - 122210*r - 122209.
-(r + 1)*(r + 122209)
Factor -r**2/4 + 115*r/2 + 32571/4.
-(r - 329)*(r + 99)/4
Suppose 4*m**3 + 10576*m**2 + 230544*m - 503424 = 0. What is m?
-2622, -24, 2
Solve -l**4/4 + 145*l**3/4 - 2141*l**2/4 + 10031*l/4 - 6321/2 = 0 for l.
2, 7, 129
Suppose -2*a**5/3 - 1312*a**4/3 - 220352*a**3/3 - 566784*a**2 - 1119744*a = 0. What is a?
-324, -4, 0
Solve 93*l**5/8 - 707*l**4/8 + 357*l**3/8 + 243*l**2/8 + 7*l/4 = 0.
-1/3, -2/31, 0, 1, 7
Suppose 2*r**5/3 + 296*r**4/3 - 7970*r**3 + 215900*r**2/3 - 520000*r/3 = 0. Calculate r.
-208, 0, 5, 50
Factor 2*l**4/3 - 1804*l**3/3 + 150334*l**2 - 19934200*l/3 + 244205000/3.
2*(l - 425)**2*(l - 26)**2/3
Solve -4*s**4 - 47608*s**3 + 142848*s**2 - 142856*s + 47620 = 0 for s.
-11905, 1
Factor -j**2/7 + 1647860*j/7 - 678860644900/7.
-(j - 823930)**2/7
Solve 4*g**4 - 3880*g**3 + 956148*g**2 - 7326592*g - 18508880 = 0 for g.
-2, 10, 481
Factor w**3/3 + 5762*w**2/3 + 8265481*w/3 - 33339076.
(w - 12)*(w + 2887)**2/3
Let -2*l**3/17 + 598*l**2/17 + 32344*l/17 + 62280/17 = 0. What is l?
-45, -2, 346
Find w such that 64*w**4/3 + 9424*w**3/3 - 2368*w**2 + 4*w/3 + 592/3 = 0.
-148, -1/4, 1/2
Find u such that -169*u**3 - 15470*u**2 - 81792*u - 111456 = 0.
-86, -36/13
Find n such that -n**3/4 + 47*n**2/4 - 303*n/4 - 351/4 = 0.
-1, 9, 39
Find r, given that -5*r**3/4 + 24135*r**2/2 + 48285*r + 48290 = 0.
-2, 9658
Determine d, given that -2*d**4 - 930*d**3 - 10004*d**2 - 7224*d + 18160 = 0.
-454, -10, -2, 1
Let -3*n**3/2 - 24*n**2 - 87*n/2 + 195 = 0. Calculate n.
-13, -5, 2
Factor -5*m**4 + 35*m**3 + 570*m**2 - 1260*m - 14040.
-5*(m - 13)*(m - 6)*(m + 6)**2
Factor a**4 + 2028*a**3 - 20380*a**2.
a**2*(a - 10)*(a + 2038)
Find s such that -368167805*s**2 - 772290*s - 405 = 0.
-9/8581
Factor 2*y**2/3 + 38686*y + 116056/3.
2*(y + 1)*(y + 58028)/3
Factor -4*y**2/5 - 361928*y/5 - 8186992324/5.
-4*(y + 45241)**2/5
Factor 2583*f**2 - 93036*f + 1728.
3*(f - 36)*(861*f - 16)
Let -14*q**3/5 + 282*q**2/5 + 3152*q/5 = 0. What is q?
-8, 0, 197/7
Find v, given that -2*v**3/9 + 7574*v**2/9 + 53096*v/9 + 75880/9 = 0.
-5, -2, 3794
Factor d**5/4 + 19*d**4/4 + 28*d**3 + 74*d**2 + 92*d + 44.
(d + 2)**4*(d + 11)/4
Solve t**2/3 + 23226*t + 404585307 = 0 for t.
-34839
Factor 3*f**2 + 1092*f + 51744.
3*(f + 56)*(f + 308)
Let 3*r**5 - 111066*r**4 + 333177*r**3 - 222114*r**2 = 0. Calculate r.
0, 1, 2, 37019
What is m in -2*m**4/5 - 364*m**3/5 - 934*m**2 + 5772*m/5 + 2016 = 0?
-168, -15, -1, 2
Factor -r**4 - 553*r**3 - 5463*r**2 - 17955*r - 19548.
-(r + 3)**2*(r + 4)*(r + 543)
Factor 243*s**3/2 - 777735*s**2/2 - 172848*s - 19206.
3*(s - 3201)*(9*s + 2)**2/2
Let -20*s**5 + 160*s**4 + 10815*s**3 + 10685*s**2 + 2660*s = 0. Calculate s.
-19, -1/2, 0, 28
Factor -3*j**2 - 30723*j - 122844.
-3*(j + 4)*(j + 10237)
Solve 3*n**4/7 + 3813*n**3/7 - 1095*n**2 - 34317*n/7 + 68742/7 = 0.
-1273, -3, 2, 3
Factor 2*b**3/11 + 7020*b**2 - 77222*b/11.
2*b*(b - 1)*(b + 38611)/11
Let -4*q**4/5 - 1252*q**3/5 - 8624*q**2/5 - 17168*q/5 - 9792/5 = 0. Calculate q.
-306, -4, -2, -1
Find p, given that 2*p**3/7 + 124*p**2/7 + 32*p - 960/7 = 0.
-60, -4, 2
Factor 3*q**3/8 + 99*q**2 + 27549*q/8 + 3345.
3*(q + 1)*(q + 40)*(q + 223)/8
Factor 2*c**2/13 - 20224*c/13 + 80864/13.
2*(c - 10108)*(c - 4)/13
Suppose 10*w**3 - 886*w**2 - 24776*w - 9768 = 0. Calculate w.
-22, -2/5, 111
Let -45*p**3 + 341200*p**2 - 416965*p + 75810 = 0. What is p?
2/9, 1, 7581
Factor -2*c**2/9 - 15004*c/3 + 45014/9.
-2*(c - 1)*(c + 22507)/9
Determine d so that -4*d**3 + 42888*d**2 + 128692*d + 85800 = 0.
-2, -1, 10725
Let 3*d**2 + 9*d - 18012 = 0. Calculate d.
-79, 76
Let -4*t**2 - 896*t - 10972 = 0. What is t?
-211, -13
| {
"pile_set_name": "DM Mathematics"
} |
63, -7573924, -11360885, -15147846, -18934807, -22721768?
-3786961*s - 2
What is the b'th term of -38875, -38920, -38965, -39010, -39055?
-45*b - 38830
What is the i'th term of 31601, 125509, 282029, 501167, 782929?
i**3 + 31300*i**2 + i + 299
What is the s'th term of -506174350, -506174344, -506174334, -506174320, -506174302?
2*s**2 - 506174352
What is the l'th term of 15460, 62116, 139964, 249004?
15596*l**2 - 132*l - 4
What is the n'th term of -8990, -18007, -27060, -36161, -45322, -54555?
-2*n**3 - 6*n**2 - 8985*n + 3
What is the u'th term of 5123011, 10246025, 15369039?
5123014*u - 3
What is the g'th term of 6301, 6382, 6575, 6928, 7489, 8306, 9427, 10900?
8*g**3 + 8*g**2 + g + 6284
What is the x'th term of -19091, -77702, -175387, -312146?
-19537*x**2 + 446
What is the h'th term of 7494444, 7494428, 7494412, 7494396?
-16*h + 7494460
What is the l'th term of 6826, 6855, 6866, 6853, 6810, 6731?
-l**3 - 3*l**2 + 45*l + 6785
What is the k'th term of 4144, 14872, 43986, 100678, 194140, 333564?
1532*k**3 + k**2 + k + 2610
What is the z'th term of -39, 2303, 4643, 6981, 9317, 11651, 13983?
-z**2 + 2345*z - 2383
What is the s'th term of 35275, 70657, 106153, 141763?
57*s**2 + 35211*s + 7
What is the l'th term of 8100, 30551, 91486, 210147, 405776, 697615, 1104906?
3207*l**3 + 2*l + 4891
What is the l'th term of -120516616, -241033230, -361549844, -482066458, -602583072?
-120516614*l - 2
What is the t'th term of 10680, 20382, 28114, 32892, 33732, 29650, 19662?
-164*t**3 - t**2 + 10853*t - 8
What is the a'th term of 227, 1875, 6295, 14873, 28995?
231*a**3 + 31*a - 35
What is the t'th term of 4688, 16958, 50012, 114242, 220040, 377798?
1732*t**3 + 146*t + 2810
What is the z'th term of 68984, 69231, 69428, 69551, 69576, 69479, 69236?
-4*z**3 - z**2 + 278*z + 68711
What is the b'th term of 2392947, 4785870, 7178793, 9571716, 11964639?
2392923*b + 24
What is the v'th term of -43148284, -43148286, -43148288, -43148290?
-2*v - 43148282
What is the g'th term of 1963, 7241, 15947, 28081, 43643, 62633, 85051?
1714*g**2 + 136*g + 113
What is the u'th term of -88, -49, 14, 101, 212, 347, 506?
12*u**2 + 3*u - 103
What is the l'th term of -185, 371, 1317, 2653?
195*l**2 - 29*l - 351
What is the q'th term of 26797584, 26797583, 26797582?
-q + 26797585
What is the k'th term of 7699100, 30796404, 69291908, 123185612, 192477516?
7699100*k**2 + 4*k - 4
What is the q'th term of -20906964, -41813926, -62720888, -83627850, -104534812, -125441774?
-20906962*q - 2
What is the h'th term of -39889, -43538, -53441, -72724, -104513, -151934, -218113, -306176?
-521*h**3 - h**2 + h - 39368
What is the t'th term of -1346, -6113, -14298, -25901, -40922?
-1709*t**2 + 360*t + 3
What is the v'th term of -114, -522, -1200, -2148, -3366, -4854?
-135*v**2 - 3*v + 24
What is the y'th term of 11373, 11146, 10915, 10680, 10441, 10198?
-2*y**2 - 221*y + 11596
What is the m'th term of -10516, -9504, 3044, 27134, 62772?
m**3 + 5762*m**2 - 16281*m + 2
What is the v'th term of 274, 1043, 2342, 4183, 6578, 9539, 13078?
2*v**3 + 253*v**2 - 4*v + 23
What is the l'th term of -3561, -5395, -10403, -20181, -36325?
-266*l**3 + 9*l**2 + l - 3305
What is the r'th term of -6232, -4307, -1098, 3395, 9172, 16233?
642*r**2 - r - 6873
What is the x'th term of 130202, 521451, 1173744, 2087081, 3261462?
130522*x**2 - 317*x - 3
What is the y'th term of -30726, -32043, -34238, -37311?
-439*y**2 - 30287
What is the r'th term of 1693, 16275, 40579, 74605, 118353, 171823?
4861*r**2 - r - 3167
What is the m'th term of -17592844, -35185635, -52778426, -70371217?
-17592791*m - 53
What is the m'th term of 1914, 1635, 1152, 447, -498, -1701, -3180, -4953?
-3*m**3 - 84*m**2 - 6*m + 2007
What is the l'th term of -167551, -167800, -168049, -168298, -168547, -168796?
-249*l - 167302
What is the n'th term of -341801, -341892, -342045, -342260, -342537, -342876, -343277?
-31*n**2 + 2*n - 341772
What is the s'th term of -19675, -32619, -45563, -58507, -71451, -84395?
-12944*s - 6731
What is the o'th term of 502175, 501951, 501569, 501023, 500307, 499415?
-o**3 - 73*o**2 + 2*o + 502247
What is the g'th term of 354159, 708299, 1062423, 1416531?
-8*g**2 + 354164*g + 3
What is the p'th term of -4042, -16357, -36862, -65539, -102370, -147337, -200422?
3*p**3 - 4113*p**2 + 3*p + 65
What is the y'th term of -2812714, -5625423, -8438132?
-2812709*y - 5
What is the f'th term of 1517475, 1517483, 1517491, 1517499, 1517507, 1517515?
8*f + 1517467
What is the q'th term of -298, -1234, -2730, -4708, -7090, -9798, -12754?
13*q**3 - 358*q**2 + 47*q
What is the q'th term of -1030168, -1030163, -1030160, -1030159, -1030160?
-q**2 + 8*q - 1030175
What is the d'th term of 263790, 263819, 263864, 263919, 263978, 264035?
-d**3 + 14*d**2 - 6*d + 263783
What is the t'th term of -10440, -20434, -30388, -40302, -50176, -60010, -69804?
20*t**2 - 10054*t - 406
What is the b'th term of -7713, -10373, -14807, -21015?
-887*b**2 + b - 6827
What is the y'th term of 7170, 14320, 21482, 28698, 36010?
7*y**3 - 36*y**2 + 7209*y - 10
What is the r'th term of -23286813, -23286807, -23286801, -23286795, -23286789, -23286783?
6*r - 23286819
What is the r'th term of 243163, 971423, 2185191, 3884467, 6069251, 8739543?
242754*r**2 - 2*r + 411
What is the v'th term of 95119045, 95119046, 95119047, 95119048, 95119049, 95119050?
v + 95119044
What is the y'th term of 10741791, 21483576, 32225361, 42967146, 53708931, 64450716?
10741785*y + 6
What is the r'th term of -88882, -180658, -272434, -364210?
-91776*r + 2894
What is the o'th term of -433, -957, -1577, -2341, -3297, -4493?
-8*o**3 - 468*o + 43
What is the z'th term of 449274, 898389, 1347504, 1796619?
449115*z + 159
What is the t'th term of 245036, 245155, 245354, 245633, 245992, 246431, 246950?
40*t**2 - t + 244997
What is the y'th term of -131896, -131920, -131972, -132052, -132160, -132296, -132460?
-14*y**2 + 18*y - 131900
What is the h'th term of 100697, 93029, 85361, 77693, 70025, 62357?
-7668*h + 108365
What is the a'th term of -64567, -129958, -195349, -260740, -326131?
-65391*a + 824
What is the c'th term of -43977, -175844, -395599, -703242, -1098773, -1582192?
-43944*c**2 - 35*c + 2
What is the p'th term of -39919, -39648, -38919, -37504, -35175, -31704, -26863?
38*p**3 + p**2 + 2*p - 39960
What is the i'th term of 141116, 282271, 423422, 564569?
-2*i**2 + 141161*i - 43
What is the f'th term of 5183417, 5183409, 5183407, 5183411, 5183421, 5183437?
3*f**2 - 17*f + 5183431
What is the q'th term of -11340, -8361, -5382, -2403, 576, 3555?
2979*q - 14319
What is the k'th term of 15402, 15417, 15418, 15405, 15378, 15337, 15282?
-7*k**2 + 36*k + 15373
What is the c'th term of 97131, 97065, 96963, 96807, 96579, 96261, 95835?
-3*c**3 - 45*c + 97179
What is the l'th term of -26250548, -26250546, -26250544?
2*l - 26250550
What is the x'th term of 1534233, 1534219, 1534205, 1534191, 1534177, 1534163?
-14*x + 1534247
What is the b'th term of 222058, 444105, 666132, 888145, 1110150?
b**3 - 16*b**2 + 222088*b - 15
What is the x'th term of 16403758, 16403755, 16403752, 16403749, 16403746?
-3*x + 16403761
What is the j'th term of -1008, -8191, -27774, -65985, -129052, -223203, -354666, -529669?
-1038*j**3 + 28*j**2 - j + 3
What is the f'th term of -2758069, -5516077, -8274085, -11032093, -13790101?
-2758008*f - 61
What is the n'th term of -87815331, -87815323, -87815315, -87815307, -87815299?
8*n - 87815339
What is the g'th term of 216077, 1728632, 5834135, 13829060, 27009881, 46673072, 74115107, 110632460?
216079*g**3 + 2*g - 4
What is the d'th term of -64029, -127677, -191325?
-63648*d - 381
What is the m'th term of -4488, -4477, -4482, -4509, -4564?
-m**3 - 2*m**2 + 24*m - 4509
What is the w'th term of -1041, 1019, 6619, 17529, 35519?
295*w**3 - 5*w - 1331
What is the o'th term of -266460, -2132887, -7199246, -17065503, -33331624, -57597575, -91463322?
-266661*o**3 + 200*o + 1
What is the o'th term of -1366, -10949, -36962, -87613, -171110, -295661, -469474?
-1368*o**3 - 7*o**2 + 14*o - 5
What is the s'th term of -176463007, -176463009, -176463011?
-2*s - 176463005
What is the x'th term of 131919, 264327, 396735, 529143?
132408*x - 489
What is the v'th term of 3393925, 6787850, 10181775, 13575700, 16969625?
3393 | {
"pile_set_name": "DM Mathematics"
} |
= 0.
-2, -1
Let b be 2/((-2)/3) - -5. Let l(c) be the second derivative of 0 - 2*c - 2/9*c**b - 1/9*c**3 - 1/54*c**4. Factor l(i).
-2*(i + 1)*(i + 2)/9
Let q = 1 - 1. Suppose 5*j = -q*j + 4*r + 12, 0 = -3*j + 3*r + 9. Factor 2/5*p - 2/5*p**2 + j.
-2*p*(p - 1)/5
Let g = 884/3143 - -2/449. Find u such that -2/7*u**3 + 2/7*u**2 + 0 - g*u**4 + 2/7*u = 0.
-1, 0, 1
Let n = -77/2 - -389/10. Suppose n*q + 2/5*q**3 - 4/5*q**2 + 0 = 0. What is q?
0, 1
Let o = -60 + 181/3. Factor 1/3*a**4 - 1/3*a**3 + 0*a + 1/3*a**5 - o*a**2 + 0.
a**2*(a - 1)*(a + 1)**2/3
Factor 3/2 + 3/4*d - 45/4*d**2.
-3*(3*d + 1)*(5*d - 2)/4
Let a(w) be the second derivative of -w**8/10080 + w**7/945 - w**6/360 - w**4/3 + 3*w. Let i(h) be the third derivative of a(h). Let i(s) = 0. Calculate s.
0, 1, 3
Let w(n) = -8*n - 69. Let z be w(-9). Factor -4/5*q**z + 0 - 16/5*q - 16/5*q**2.
-4*q*(q + 2)**2/5
Suppose -5*t + 2 + 3 = 0. Find n such that t + 49/4*n**2 - 7*n = 0.
2/7
Let t(i) be the first derivative of 2*i**6/3 - 5*i**4 + 8*i**2 - 25. Let t(r) = 0. Calculate r.
-2, -1, 0, 1, 2
Let a(m) be the first derivative of -m**6/540 + m**5/180 - m**3 - 1. Let w(h) be the third derivative of a(h). Solve w(k) = 0 for k.
0, 1
Let c(d) be the second derivative of -d**5/240 + d**4/32 - d**3/12 - 2*d**2 - 5*d. Let t(y) be the first derivative of c(y). Find i, given that t(i) = 0.
1, 2
Let b(x) be the second derivative of x**5/20 - x**4/3 - x**3/6 + 2*x**2 + 4*x. Factor b(y).
(y - 4)*(y - 1)*(y + 1)
Let d(x) be the second derivative of -x**7/126 - 2*x**6/45 + x**5/12 + 16*x. Factor d(n).
-n**3*(n - 1)*(n + 5)/3
Suppose -3/5*j**2 + 0*j**3 + 1/5*j**4 + 0 + 2/5*j = 0. Calculate j.
-2, 0, 1
Let k be (-1)/(-2) - (546/(-12))/13. Let b = 20851/600 - 17/200. Determine n, given that 154/3*n**3 - b*n - 44*n**2 - 16/3 + 98/3*n**k = 0.
-2, -2/7, 1
Suppose 1/7*p**4 - 1/7*p**3 + 4/7*p - 4/7*p**2 + 0 = 0. What is p?
-2, 0, 1, 2
Let i = 0 - 6. Let h(a) = -a**3 - 7*a**2 - 8*a - 9. Let w be h(i). Find m, given that 0*m - 2/3*m**2 + 1/3*m**4 + 0*m**w + 1/3 = 0.
-1, 1
Let d(m) be the third derivative of -2/27*m**3 + 0*m - 11/270*m**5 + 0 + 13/108*m**4 - 4*m**2. Factor d(v).
-2*(v - 1)*(11*v - 2)/9
Let o(f) be the second derivative of 2*f + 0*f**3 + 0*f**4 + 0*f**2 + 1/20*f**5 + 0 - 1/30*f**6. Factor o(h).
-h**3*(h - 1)
Let n be (1*(-4 + 5))/1. Factor -1/2*g + 3/2*g**3 - n + 2*g**2.
(g + 1)**2*(3*g - 2)/2
Let v(u) be the first derivative of 2*u**6/3 + 4*u**5/5 - 2*u**4 - 8*u**3/3 + 2*u**2 + 4*u - 2. What is j in v(j) = 0?
-1, 1
Let a = 67/30 + -26/15. Solve a*d - 1/2*d**3 + 1/2*d**2 - 1/2 = 0 for d.
-1, 1
Let v be 0 - (-12 - 0)*2. Suppose -v = -4*c + 2*n, 4*c = c - 5*n - 8. Determine d, given that -1/2*d**5 + 0*d**2 - 1/2*d + d**3 + 0*d**c + 0 = 0.
-1, 0, 1
Let r(o) = -3*o + 7. Let n(g) = 2*g - 3. Let u(t) = 7*n(t) + 3*r(t). Let x be u(1). Factor 0*p**2 - x*p**5 + 0 - 4/5*p**3 - 4*p**4 + 0*p.
-p**3*(5*p + 2)**2/5
Let g(u) be the second derivative of -u**4/54 + 4*u**3/27 - u**2/3 + 6*u. Factor g(h).
-2*(h - 3)*(h - 1)/9
Let o(q) be the second derivative of 1/6*q**3 + 1/120*q**6 + 1/16*q**5 + 0*q**2 + 0 - 2*q + 1/6*q**4. Factor o(z).
z*(z + 1)*(z + 2)**2/4
Suppose -2*g - 3*g + 2*s = 0, -3 = g - s. Let 2*a + 2*a**g - 6 - 2*a**3 - 2 + 6 = 0. What is a?
-1, 1
Factor -w**5 - 3*w**3 + 3*w**3 + w**3.
-w**3*(w - 1)*(w + 1)
Suppose -5*i - 3*n + 0 - 15 = 0, 0 = 3*i - 2*n - 10. Let k = i - 0. Factor k - 1 + 4 + 0 - 3*j**2.
-3*(j - 1)*(j + 1)
Let x(z) = -z + 1. Let m(a) = -4*a**2 - 2*a - 18. Let w(p) = -m(p) - 10*x(p). Find n, given that w(n) = 0.
-2, -1
Let b(x) be the first derivative of x**6/2 + 3*x**5/5 - 3*x**4/2 - 2*x**3 + 3*x**2/2 + 3*x - 12. Find v, given that b(v) = 0.
-1, 1
Let x(o) be the third derivative of 0 - 1/60*o**6 + o**2 + 1/30*o**5 + 1/12*o**4 + 0*o - 1/3*o**3. Factor x(c).
-2*(c - 1)**2*(c + 1)
Let i(m) be the first derivative of -m**4/36 - 2*m**3/9 - 2*m**2/3 + 3*m + 3. Let v(s) be the first derivative of i(s). Suppose v(k) = 0. What is k?
-2
Suppose -2*o - 3 = -3*o. Let c = 2/5 - 0. Factor 0 + 2/5*h + 4/5*h**2 + c*h**o.
2*h*(h + 1)**2/5
Let f = -7 - -9. Let i = 5 - f. Solve 4/7*c**5 + 0 + 6/7*c**4 + 0*c + 0*c**i - 2/7*c**2 = 0 for c.
-1, 0, 1/2
Let j = 17280/7 + -2464. Solve 16/7*n**3 - 38/7*n**2 + 16/7*n - 2/7 + 40/7*n**4 - j*n**5 = 0 for n.
-1, 1/4, 1/2, 1
Let m(v) be the first derivative of 0*v + 4 - 2*v**2 - 10/3*v**3 + 2/5*v**5 - 3/2*v**4 + 1/3*v**6. Determine b, given that m(b) = 0.
-1, 0, 2
Let a(z) = z**2 - 1. Let q be a(1). Suppose q = -3*c - 2*r + 4, 0 = 3*c - 0*c + r - 8. Factor -2*t**5 - 2 + 6*t**c - 6*t**3 + 2 + 2*t**2.
-2*t**2*(t - 1)**3
Let u(b) be the third derivative of -3*b**7/350 - b**6/20 - 7*b**5/75 - b**4/15 + 8*b**2. Factor u(n).
-n*(n + 2)*(3*n + 2)**2/5
Suppose 3*n - y - 11 = 0, 3*n + y - 3*y = 10. Let o(k) be the second derivative of 2/3*k**3 + k**2 + 1/6*k**n + 2*k + 0. Let o(m) = 0. What is m?
-1
Let i(c) be the second derivative of -c**6/60 + c**4/24 + 44*c + 2. Factor i(b).
-b**2*(b - 1)*(b + 1)/2
Suppose -3*j + 10 = -2*o, 4*o + 3 + 3 = -j. Let q(y) be the first derivative of -1/9*y**j + 1/18*y**4 + 2/27*y**3 - 4 - 2/45*y**5 + 0*y. Factor q(d).
-2*d*(d - 1)**2*(d + 1)/9
Let h(u) = -4*u**2 + 2*u + 5. Let d(l) = -21 - 11*l + 4*l + 0*l**2 + 2 + 15*l**2. Let n(m) = 6*d(m) + 22*h(m). Let n(w) = 0. What is w?
-2, 1
Let z(w) be the third derivative of -w**8/10080 - w**7/630 - w**6/120 - w**5/30 - 8*w**2. Let v(c) be the third derivative of z(c). Factor v(p).
-2*(p + 1)*(p + 3)
Suppose -j = 3*j + 120. Let p be j/(-12)*(-12)/(-10). Factor -h**3 + 2*h**p + h**3 - 6*h**2 + 6*h - 2.
2*(h - 1)**3
Let y(h) be the first derivative of h**4/96 - h**3/24 + h**2/16 - 4*h - 5. Let l(o) be the first derivative of y(o). Factor l(t).
(t - 1)**2/8
Let n(d) be the second derivative of d**6/150 - d**4/60 - 10*d. Determine i, given that n(i) = 0.
-1, 0, 1
Let f(q) = -q**3 + 2*q**2 + 4. Let k be f(0). Suppose -8/7*y**3 + 0 + 2/7*y**k - 4/7*y + 10/7*y**2 = 0. Calculate y.
0, 1, 2
Let z(i) be the second derivative of 0 + 1/60*i**4 - 3*i + 1/5*i**2 - 1/10*i**3. Factor z(y).
(y - 2)*(y - 1)/5
Factor -3*d**2 - 17*d**3 - 9*d + 54*d**3 - 28*d**3 + 3*d**4.
3*d*(d - 1)*(d + 1)*(d + 3)
Let w(v) be the first derivative of -5*v**6/6 + 2*v**5 - 10*v**3/3 + 5*v**2/2 + 15. Factor w(f).
-5*f*(f - 1)**3*(f + 1)
Suppose 4*k + 4*f + 8 = 0, 3*f = -4*k + 6*f + 20. Solve -14/3*d**3 + 0 - 8/3*d**4 + 2/3*d - 4/3*d**k = 0.
-1, 0, 1/4
Suppose 3 = -b + 36. Let t be b/45 - (-3)/(-9). Factor 0*i**2 + 2/5*i**3 + 0 - t*i.
2*i*(i - 1)*(i + 1)/5
Let i(b) = -7*b - 3*b**2 + 6*b - 2 + 0*b**2. Let q(a) be the second derivative of a**4/3 + a**3/3 + 3*a**2/2 - 2*a. Let v(z) = -3*i(z) - 2*q(z). Factor v(k).
k*(k - 1)
Factor -2/15*x**2 - 2/5*x**3 + 0 + 2/5*x + 2/15*x**4.
2*x*(x - 3)*(x - 1)*(x + 1)/15
Suppose 3*u = -2*m, 2*u - 2 = -m - 1. Suppose 0*l = -l + u. Suppose -4/5*p**5 + 0 + 0*p**l - 2/5*p**4 + 2/5*p**3 + 0*p = 0. Calculate p.
-1, 0, 1/2
Let p = 16/9 - 10/9. Let i(h) be the first derivative of h**3 + 0*h - 3/5*h**5 + 5/4*h**4 - 1/2*h**2 - 2 - p*h**6. Solve i(k) = 0.
-1, 0, 1/4, 1
Suppose 3/5*y - 3/5*y**2 + 0 = 0. Calculate y.
0, 1
Let c be -1*((0 - 3) + 154/55). Factor 1/5*a**4 + 1/10*a**5 - c - 4/5*a**2 - 1/5*a**3 - 7/10*a.
(a - 2)*(a + 1)**4/10
Let r(q) = -q**5 - q**4 - q**2 + 1. Let z(k) = -6*k**5 - 7*k**4 + k**3 - k**2 + 3. Let f(g) = 6*r(g) - 2*z(g). Factor f(x).
2*x**2*(x + 1)**2*(3*x - 2)
Let u(n) be the second derivative of 0 - 1/12*n**4 + 0*n**2 - 1/20*n**5 + 0*n**3 + 3*n. Factor u(c).
-c**2*(c + 1)
Factor 0*j**3 + j**3 + j**2 - 9*j**4 + 8*j**4 - j.
-j*(j - 1)**2*(j + 1)
Let n(h) be the first derivative of 2/33*h**3 + 0*h - 2/11*h**2 + 7 + 1/22*h**4. Solve n(v) = 0 for v.
-2, 0, 1
Suppose -103*b = -104*b + 2. Solve -11/3*f**b + 19/3*f**3 + 2/3*f + 0 + f**5 - 13/3*f**4 = 0.
0, 1/3, 1, 2
Let f(r) be the second derivative of -r**5/120 + r**4/36 - r**3/36 - 10*r. Suppose f(l) = 0. What is l?
0, 1
Let 0*z**3 + 0*z + 2 - 5/2*z**2 + 1/2*z**4 = 0. What is z?
-2, -1, 1, 2
Let z(o) be the second derivative of o**7/1680 - o**6/180 + o**5/48 - o**4/24 - 7*o**3/6 + 8*o. Let f(b) be the second derivative of z(b). Factor f(c).
(c - 2)*(c - 1)**2/2
Let a(j) be the first derivative of j**6/45 - j**4/18 + 2*j + 3. Let o(k) be the first derivat | {
"pile_set_name": "DM Mathematics"
} |
**1*(((w*w*w*w*w**13*w)/w)/w)/w)/(((w**(-12)/w)/w)/(w/(w*w**(-7)))) assuming w is positive.
w**37
Simplify (w**(3/5)/w**(-15/2))**(-3/4) assuming w is positive.
w**(-243/40)
Simplify (((q*(q**7/q)/q*q)/(q/((q/(q/q**(-3/10))*q)/q)*q))**(2/35))**(1/49) assuming q is positive.
q**(47/8575)
Simplify (((s*s**(-5))/s*s*s)/s*s/s**12)/(s**(-1/2)/s**1) assuming s is positive.
s**(-27/2)
Simplify (b/b**(-3/2))/b**(-3/2)*b/((b*b/b**(-1/7))/b*b)*b**(-2/7) assuming b is positive.
b**(18/7)
Simplify (z/z**(7/2))**(1/24)/(z/z**22*(z*z*z*z**(-8/9)*z)/z) assuming z is positive.
z**(2705/144)
Simplify ((q*q**10*q*q)/(q/((q*(((q*q/q**(-2/5))/q)/q)/q*q*q)/q)*q))/((q/(q*q**(1/12)))/((q**(-2/13)*q)/q)) assuming q is positive.
q**(9617/780)
Simplify (((s**(-2/5))**(2/135))**13)**0 assuming s is positive.
1
Simplify k**(-1/13)/k**(-8/3)*k/(k*k**(-3/8))*k*k*((k/k**(-1/3))/k)/k assuming k is positive.
k**(447/104)
Simplify (((s/(((s**23/s)/s)/s))/s)/(s/(s/(((s**(-24)/s)/s)/s*s))*s))/(s**(4/5))**(-2/19) assuming s is positive.
s**(483/95)
Simplify (h**4)**(-10)*((h**(2/5)*h)/h)**(-2/49) assuming h is positive.
h**(-9804/245)
Simplify ((j*j**(-1/50)*j)/(j**(-10)*j))**(-1/45) assuming j is positive.
j**(-61/250)
Simplify (h/(h/h**(3/7))*h**(-10))/(h/((h/(h/h**(-25)))/h)*h**(-1/8)) assuming h is positive.
h**(-2041/56)
Simplify ((s**(3/11))**(-3/14))**(-31) assuming s is positive.
s**(279/154)
Simplify (z**4*z)**(-1/22)/(z**(4/17))**(-2/21) assuming z is positive.
z**(-1609/7854)
Simplify (c**(-2/27)*c**(-7/2))/((c*c/(c*c**(-9)*c)*c)/(c/c**(-8/5))) assuming c is positive.
c**(-2963/270)
Simplify (h/((h/h**(-4))/h))**(2/61)*(h/(h*h*h**(-13)*h))/h*h/(h*h/h**(-4)*h) assuming h is positive.
h**(238/61)
Simplify (s/(s**14/s)*s/s**(12/5)*s)/(s**(2/13)/(s*s**(-2/15))) assuming s is positive.
s**(-2279/195)
Simplify (q*q**(-1/4)*q)/q**(5/4)*q*q/(q/(q/q**(1/22))*q)*q**(2/19) assuming q is positive.
q**(326/209)
Simplify a**(-10)*a**(-8/3)/a*(a/(a*a*a/a**2))**46 assuming a is positive.
a**(-41/3)
Simplify m/(m**(-7/9)*m)*m**(2/11)*m*m*m**12*m*m*m/((m/m**(1/37))/m) assuming m is positive.
m**(65885/3663)
Simplify z*z/z**(6/11)*z*z/(z/z**11)*z/(z*z**(-14)/z)*z**(-2) assuming z is positive.
z**(291/11)
Simplify ((f/(f**(6/5)/f))/f*((f*f/(((f/((f*f*f**(-6/7)*f)/f))/f)/f))/f)/f)/((f/(f/(f/(f/f**(3/11)))*f))/((f**(-1/11)/f)/f)) assuming f is positive.
f**(223/385)
Simplify (((n/(n*n**(-1)))/n)**(2/13)/((n/((n/(n**(-1/4)*n))/n))/((n*n**(-1/4)*n*n)/n)))**(-26) assuming n is positive.
1
Simplify (r**3)**(-24)/(r/(r*(r*r**(-3))/r)*r*r*(r*r*r*(r**10*r)/r*r)/r) assuming r is positive.
r**(-90)
Simplify (w**25*w)**(-20)*(w/((w*w*w*(w/(w*w**(-1/5)))/w*w)/w*w*w))/w*w**(-1/4) assuming w is positive.
w**(-10489/20)
Simplify (p/(p/(p/(p*p/p**16))))**(-4/23)/((p/((p**(-1/12)*p)/p*p))/p**(-3/2)) assuming p is positive.
p**(-1157/276)
Simplify (((t/t**2)/t)/t*t/(t/t**(-6))*(t*t**(-3/7)*t)/t**(-1/13))**(5/7) assuming t is positive.
t**(-3345/637)
Simplify l**(-1/12)*l/(l/((l/(l**(-2)*l*l))/l))*l*l*l*((l**(1/4)*l)/l)/(((l/((l*l*l/(l*l/(l/l**(10/9))*l))/l))/l)/l*l) assuming l is positive.
l**(37/18)
Simplify (t/t**2*t)**(-14)*(t/(t**(-7)*t))/t**(-10) assuming t is positive.
t**17
Simplify (u*u**0/u)**10*u/(u/(u**(-4/3)/u))*u*(u**7/u)/u assuming u is positive.
u**(11/3)
Simplify ((w*w**(1/8))/w**(-2))/((w**(-7)*w*w)/(w**(-10)*w)) assuming w is positive.
w**(-7/8)
Simplify ((q**6/q*(q**(-1/13)*q)/q*q)/(q**(2/5))**43)**(-17) assuming q is positive.
q**(12461/65)
Simplify (w*w**(-12))/w*(w/((w/(w/(w*w**(-24)*w)))/w))/w*(w**(-2/37))**(-8) assuming w is positive.
w**(423/37)
Simplify ((p*p/((p/((p*(p*(p/p**(3/4))/p*p*p)/p)/p))/p)*(p*p/p**2)/p)/(p**(-8)/p**(2/19)))**(-13) assuming p is positive.
p**(-10231/76)
Simplify (z*z**(-13)*z**8)/(z**(-1/37)*z)**(-30) assuming z is positive.
z**(932/37)
Simplify ((f*f*f**(5/6)*f*f**5*f)/(f**(-7)*f*f*f/(f*(f**(-2/3)*f)/f*f*f)))**(-3/2) assuming f is positive.
f**(-97/4)
Simplify (r/(r*r**(1/22)*r)*r*r**(-9)*r**(-1)/r*r/(((r*r/r**(2/17))/r*r)/r))**(-2/5) assuming r is positive.
r**(4087/935)
Simplify (((t/(t/t**(-4)))/t)/t*t/(t*t**19))**5 assuming t is positive.
t**(-125)
Simplify (l**1*l*l**1*(l**(-1)/l)**(-9))**(3/16) assuming l is positive.
l**(63/16)
Simplify (((g**(-1/2))**19)**(-28))**(-17/4) assuming g is positive.
g**(-2261/2)
Simplify (r**0)**(-21)*(r/((r**(-3/7)*r)/r))/r**9 assuming r is positive.
r**(-53/7)
Simplify ((m/(m**(-1/6)*m))/(m**(2/11)*m))/((m**(-4/7)*m)/m**(-18)) assuming m is positive.
m**(-8983/462)
Simplify a*a*a**(-2)*a*a/a**(-13)*(a**(-4/3))**(-2/69) assuming a is positive.
a**(3113/207)
Simplify u**(-20)*(u*u**(-7/4))/u*((((u/(u*u*u/u**(-2/13)*u))/u)/u)/u)/(u**(1/5)/u) assuming u is positive.
u**(-7047/260)
Simplify ((z**(-3)/z**(-2))/(z**7*z*z**(-7/5)/z))**29 assuming z is positive.
z**(-957/5)
Simplify (m**(-6/11))**(-48)/(m/(m*m*m/((((m/m**(-2/13))/m*m)/m)/m))*m/(m/(m**(-1/22)/m))) assuming m is positive.
m**(8601/286)
Simplify ((v**(1/3)/(v**1*v))/(v**(-1/5)/(v/v**(-2/17))))**(-18) assuming v is positive.
v**(534/85)
Simplify (((m/((m/m**1)/m*m))/m*(m/(m*m/(m*(m/(m**2/m))/m)))/m*m*m)/(((m*m**(-2/15))/m)/(m/(m**(3/5)/m))))**(-2/81) assuming m is positive.
m**(-46/1215)
Simplify ((r/(r*r*r**(1/4)))/(r**(-5)/r)*(r*r/((r*(r**(-1/4)/r)/r)/r*r)*r)**(-3/7))**31 assuming r is positive.
r**(1271/14)
Simplify (l**(1/3))**5/(l**(-4/3))**42 assuming l is positive.
l**(173/3)
Simplify (s/(s*s**(3/19))*s**(-5/6))**(6/23) assuming s is positive.
s**(-113/437)
Simplify (g**(-4/5))**(-9)*g**(-38)*g*g**(12/11) assuming g is positive.
g**(-1579/55)
Simplify (c/((c*((c/(c*c/(c**(-1/13)/c))*c)/c)/c*c)/c))**43*(((c/(c/c**1))/c)/c)**(-43) assuming c is positive.
c**(2279/13)
Simplify (y**3*y)**36/(y**6*y**16*y) assuming y is positive.
y**121
Simplify (u**(2/5)/u)**(-18)*(u*u*u/u**(-2)*u)**(-3/5) assuming u is positive.
u**(36/5)
Simplify r**(-2)/r**(1/53)*(r**3)**34 assuming r is positive.
r**(5299/53)
Simplify (((j**0)**(16/9))**(-28))**(1/17) assuming j is positive.
1
Simplify (((h/(h/(h*h**0)))/(h*(((h/(h/(h/((h**(5/4)/h)/h))))/h)/h*h)/h))/(((h*h**4)/h)/h*h*h**(3/5)))**(-44) assuming h is positive.
h**(957/5)
Simplify ((m**(4/5)/((m/m**(-6))/m))**19)**(-10) assuming m is positive.
m**988
Simplify ((j/(j*j/(j/(j*j**(9/4)))))/j)/(j**9/j)*(j**(-10)*j)/(j/(((j*j**(-1/8))/j)/j)*j) assuming j is positive.
j**(-195/8)
Simplify (w**(3/4))**(-15)*(w*w*w*w*w/(((w**15/w*w)/w*w)/w)*w)**(-1) assuming w is positive.
w**(-13/4)
Simplify (b*b**(-2/13))**(-13)/(b**0)**16 assuming b is positive.
b**(-11)
Simplify (f**(-7)/f**(-25))/(f**(-16)/(f*f**(2/25))) assuming f is positive.
f**(877/25)
Simplify (z**(14/11)*z)**(-4/13)/(z**(-2/11)/z**(-4/9)) assuming z is positive.
z**(-1238/1287)
Simplify (((z**(-1/34)*z)/(z**(4/13)/z))**(11/2))**(-2/35) assuming z is positive.
z**(-231/442)
Simplify (b*(b/(b*(b*b/(b*(b/((b*(b**(-3/14)/b*b)/b*b*b*b)/b))/b))/b))/b)/b**(-1)*b**17*b/b**(-6/7) assuming b is positive.
b**(253/14)
Simplify ((w*w**(-5/7)/w*w*w*(w*w*w/(w*(w*w*(w/(w*(w*w/(w/(w*w**(-1/14)*w*w)))/w)*w)/w*w*w*w)/w)*w)/w*w*w)**(2/75))**(-6/13) assuming w is positive.
w**(-118/2275)
Simplify ((x/(x*x*x*(x*x**(-5/2))/x*x))/(x*x**(-1/5)*x*x))/(x**4)**(-31) assuming x is positive.
x**(1207/10)
Simplify (v/((v/(v**(-6)*v))/v))**(1/5)/(v**(3/16)*v/v**7) assuming v is positive.
v**(401/80)
Simplify (g*g**(2/5))/g**(-6)*(g**(-1/6))**(-36/11) assuming g is positive.
g**(437/55)
Simplify (((b/(b/(b*b/(b*b*b**(-2/7))*b)*b)*b)/b)**(1/11)/((b**1/b)/b*b**(-6)))**(-23) assuming b is positive.
b**(-12443/77)
Simplify (o**(-28)/(o/(o**18/o)))/(o/(o/o**7))**(-31) assuming o is positive.
o**205
Simplify (d**12/(d/((d*d**(-12))/d))*((d/d**(-9))/d)/d*d**(-10))**(4/9) assuming d is positive.
d**(-4/3)
Simplify ((((a/a**(-10/3))/a)/a)/a**(2/3))/(a**(-15)*a**(8/5)) assuming a is positive.
a**(226/15)
Simplify ((q/q**(-1/3))**(-2/5)/((q*q/(q**(-11/3)*q))/q**(2/9)))**46 assuming q is positive.
q**(-10304/45)
Simplify (f/(f*(f*f/(f**4*f))/f)*f)**(7/4)/(f**(1/9)*f**(-1/8)) assuming f is positive.
f**(631/72)
Simplify (z**(-2/61)/(z/(z*z/z**(3/4))))/(z**(-1/19)*z*z**(-18/13)) assuming z is positive.
z**(39443/60268)
Simplify u*u**(3/2)*u*u**(-28)*u**(8/3)/(u**(12/7)/u) assuming u is positive.
u**(-947/42)
Simpl | {
"pile_set_name": "DM Mathematics"
} |
33*c - 3*c = 6*c - 648 for c.
-27
Solve 26*i - 1929 + 1026 = -1007 for i.
-4
Solve -58*u = -305*u - 2964 for u.
-12
Solve -24 = 16*b - 22*b for b.
4
Solve 2*s = -128 + 116 for s.
-6
Solve 0 = 31*a - 147 + 767 for a.
-20
Solve g + 206 - 212 = 0 for g.
6
Solve -234*i - 7 = 4 - 11 for i.
0
Solve -41*w = -21*w + 12*w - 224 for w.
7
Solve -237*y + 489*y = -322*y - 20090 for y.
-35
Solve 0 = -5*z + 7*z - 38 + 8 for z.
15
Solve -328 = 44*d + 84*d + 440 for d.
-6
Solve -11*y - 6*y + 8*y = 8*y for y.
0
Solve -278*t + 1046*t - 13824 = 0 for t.
18
Solve -86*q + 95*q = 9 for q.
1
Solve 252 - 564 = -52*b for b.
6
Solve 647 = -39*k + 686 for k.
1
Solve -111*p - 1861 + 5950 = 30*p for p.
29
Solve -253*u + 1015 = -756 for u.
7
Solve -21*c + 14*c - 84 = 0 for c.
-12
Solve 0 = -53*n - 44*n + 2037 for n.
21
Solve 0 = 10*y - 20*y - 86 + 56 for y.
-3
Solve 29*b = 72*b - 33*b + 60 for b.
-6
Solve 11*d - 224 = -21*d for d.
7
Solve -26 = 107*w - 15*w - 118 for w.
1
Solve -24*u + 61 = -59 + 48 for u.
3
Solve -15*p - 139 - 101 = -0*p for p.
-16
Solve r - 46326 = -46321 for r.
5
Solve -559 = 19*j - 153*j + 1049 for j.
12
Solve -329*c = 249*c - 610 + 4656 for c.
-7
Solve 111*y + 721 = -336*y + 3850 for y.
7
Solve -1322*m = 25125 + 1315 for m.
-20
Solve 227*v + 4384 + 774 + 2333 = 0 for v.
-33
Solve -732*u + 387 = -861*u for u.
-3
Solve 704*j - 677*j + 378 = 0 for j.
-14
Solve -13948*i - 211 + 67 = -13932*i for i.
-9
Solve -348198*x - 477 = -348145*x for x.
-9
Solve -1242*o - 1582 = -1129*o for o.
-14
Solve 46*j - 102 = 818 for j.
20
Solve 1115 + 890 = 79*i - 128 for i.
27
Solve 1835*n - 1892*n - 171 = 0 for n.
-3
Solve 271*b + 5525 = -54*b for b.
-17
Solve 968*x - 41 = 973*x + 4 for x.
-9
Solve 269 = -272*b + 6253 for b.
22
Solve -12*g - 2024 = 18*g + 62*g for g.
-22
Solve 0 = 270*j - 1195*j + 10175 for j.
11
Solve 588 = -12*w + 744 for w.
13
Solve 617 - 2535 = -313*m + 3716 for m.
18
Solve 89*q - 304 = 4*q + 9*q for q.
4
Solve -121*r + 222*r + 1110 = -121*r for r.
-5
Solve 378 = 2*j - 6*j - 17*j for j.
-18
Solve 141*b = 98*b - 602 for b.
-14
Solve 141*w + 5*w + 824 = -1220 for w.
-14
Solve 168*d - 380 = 148*d for d.
19
Solve 410*o - 578*o - 5712 = 0 for o.
-34
Solve -640*y + 1409 + 2230 = -2121 for y.
9
Solve 21*k + 123*k + 562 = -734 for k.
-9
Solve 5*t - 14 + 31 = 7 for t.
-2
Solve -189*t + 1235 = -1033 for t.
12
Solve -267 = -39*i - 267 for i.
0
Solve -2727 = 31433*d - 31534*d for d.
27
Solve -25*k + 30 + 68 = 23 for k.
3
Solve 93*r + 92*r - 352 = 196*r for r.
-32
Solve 0 = -378*v + 377*v for v.
0
Solve -350 = 3753*b - 3728*b for b.
-14
Solve 137*i + 3630 = 16*i for i.
-30
Solve -4*g + 12*g - 30*g = 88 for g.
-4
Solve 1281 = 59*a + 42 for a.
21
Solve 45*y - 1298 = -353 for y.
21
Solve 16*p = 17*p + 4 - 6 for p.
2
Solve 23*s + 339 + 6 = 0 for s.
-15
Solve 53344*n - 53329*n = 270 for n.
18
Solve -4732*w = -4701*w + 62 for w.
-2
Solve 0 = -752*t + 225*t + 5797 for t.
11
Solve -5*d - 26 = -6*d - 6 for d.
20
Solve 114*o = 43*o - 104*o + 3850 for o.
22
Solve 0 = 714*r + 939 + 8343 for r.
-13
Solve 16 = 32268*g - 32269*g for g.
-16
Solve 2256*w = 2270*w + 37 - 9 for w.
-2
Solve -1999 = -155*c + 2341 for c.
28
Solve -240 = -173*m + 157*m for m.
15
Solve 0 = -249*f + 98*f - 64*f + 1290 for f.
6
Solve 925 = 30*y - 1055 + 2130 for y.
-5
Solve 289*x - 1788 = 6470 - 455 for x.
27
Solve 8*z + 1170 = -37*z - 33*z for z.
-15
Solve -2*h - 54 = 98*h - 1054 for h.
10
Solve -21*j + 17*j + 63 = -13*j for j.
-7
Solve -25*x - 750 = 613 - 688 for x.
-27
Solve 513*k = 13782 + 10373 - 8765 for k.
30
Solve 0 = -43*c - 3426 + 2523 for c.
-21
Solve -263*n - 1218 = -60*n for n.
-6
Solve 279 = -423*z + 454*z for z.
9
Solve -110 = -18*r - 60 + 40 for r.
5
Solve 115*p - 219 = 126 for p.
3
Solve 4874 - 43214 = 1420*i for i.
-27
Solve 815*o = 961*o - 1752 for o.
12
Solve 21*k - 333 + 39 = 0 for k.
14
Solve 108*c = 914*c - 2 + 2 for c.
0
Solve 0 = 3*t + 2 + 9 - 2 for t.
-3
Solve 67 = -5135*b + 5160*b - 158 for b.
9
Solve -15*p + 62*p + 364 = -5*p for p.
-7
Solve -125*a = -52*a - 730 for a.
10
Solve 692 = 128*c - 460 for c.
9
Solve -930 = 37*k - 893 for k.
-1
Solve 20*g - 61*g + 1278 = 101*g for g.
9
Solve -15 - 3 = -17*x + 50 for x.
4
Solve 230*g = 205*g - 125 for g.
-5
Solve 5*b - b + 37 = -3 for b.
-10
Solve -803 = 175*c + 1647 for c.
-14
Solve -13*u + 61 = -9 - 34 for u.
8
Solve -106 = 5*d - 31*d - 704 for d.
-23
Solve 141*j = -31*j + 2924 for j.
17
Solve -37 = -5*n + 62 + 11 for n.
22
Solve 21*x - 42 = -59 - 67 for x.
-4
Solve 54*n + 755 - 279 = 82*n for n.
17
Solve -25*o + 103 + 548 = 68*o for o.
7
Solve 167*l + 143 = -658 - 34 for l.
-5
Solve -4027*o = -4048*o - 163 - 5 for o.
-8
Solve 0 = -4*w - 63*w + 1206 for w.
18
Solve 41*p - 4968 = -154*p - 12*p for p.
24
Solve 155*g + 12*g = -39*g for g.
0
Solve -4*j + 362 = -39*j + 47 for j.
-9
Solve z - 38 + 16 = -9 for z.
13
Solve 150*c - 6*c = 419 - 2291 for c.
-13
Solve -21*u + 342 = 18*u - 87 for u.
11
Solve -43*s - 2213 = -402*s + 8198 for s.
29
Solve -84*l + 1199 = 107 for l.
13
Solve 20348 = -836*k - 6404 for k.
-32
Solve 261*o - 348 = 290*o for o.
-12
Solve 0 = 133*r - 397*r - 2376 for r.
-9
Solve -124469*d - 540 = -124409*d for d.
-9
Solve 18*l - 25*l - 13 = 92 for l.
-15
Solve 653*j + 186 = 715*j for j.
3
Solve 25*n = -122 - 187 + 59 for n.
-10
Solve -210 = 134*h - 113*h for h.
-10
Solve 31*l = -22*l + 65*l - 36 for l.
3
Solve -9*b - 371 = 375 - 494 for b.
-28
Solve -1117 + 3151 = 226*p for p.
9
Solve 52*l + 16 = 108 + 64 for l.
3
Solve 25*j - 63 = 45 + 42 for j.
6
Solve 47773*q = 47777*q + 44 for q.
-11
Solve -16*x + 10*x + 138 = 48 for x.
15
Solve 368 = 76*r - 1304 for r.
22
Solve -27*m - 217 = -758 - 134 for m.
25
Solve -239802*k + 239795*k = 112 for k.
-16
Solve 12*a - 29*a - 560 = 39*a for a.
-10
Solve 1425*g - 1408*g + 119 = 0 for g.
-7
Solve -30*b - 504 = -24 for b.
-16
Solve -88 = -48*g + 56 for g.
3
Solve -270 = 25*u - 420 for u.
6
Solve 6*i + 0*i - 43 = -1 for i.
7
Solve 4841*y = 4854*y - 13 for y.
1
Solve -289*q - 70035 = -2704*q for q.
29
Solve 26 = -279*j + 277*j for j.
-13
Solve -230*p + 4536 = -306*p - 302*p for p.
-12
Solve -89*z - 51*z - 1833 = z for z.
-13
Solve 2910*k = 2934*k - 432 for k.
18
Solve 103*d = -373*d + 60*d for d.
0
Solve 0 = 25*h - 17*h + 24*h + 256 for h.
-8
Solve 756 + 2758 = -533*c + 31*c for c.
-7
Solve 0 = -38*s + 32 + 44 for s.
2
Solve 2*s - 148 = 82 - 208 for s.
11
Solve 19*k - 47 = 10 for k.
3
Solve -307*x - 1004 = 732 - 201 for x.
-5
Solve 328*t - 112*t = -89*t for t.
0
Solve -94*i + 73*i - 171 = 81 for i.
-12
Solve 149*u + 90*u = -4063 for u.
-17
Solve -92*b - 361 + 314 = 689 for b.
-8
Solve -181*i = -54*i + 127 for i.
-1
Solve -81*l - 46*l = 17*l for l.
0
Solve 6*h + 445 + 451 = 818 for h.
-13
Solve -272 + 298 + 438 = 232*v for v.
2
Solve 466 + 7475 = 769*b + 1020 for b.
9
Solve -5*n = 36 - 23 - 18 for n.
1
Solve -342*u = 354*u + 5568 for u.
-8
Solve 2*k = -28*k - 27*k - 342 for k.
-6
Solve -716*o = -719*o + 12 for o.
4
Solve -15936*v = -15939*v + 12 for v.
4
Solve -14*b - 3914 + 3788 = 0 for b.
-9
Solve -117*d + 1845 - 558 = 0 for d.
11
Solve -58*u = 5138 - 993 - 2695 for u.
-25
Solve 0 = 153279*u - 153274*u - 70 for u.
14
Solve -685*h + 701*h + 10 = 298 for h.
18
Solve -155*f - 1883 - 2922 = 0 for f.
-31
Solve 95 = -21*p - 38 + 7 for p.
-6
Solve 464 = -116*u - 496 + 380 for u.
-5
Solve -48*v + 10*v - 20699 + 19787 = 0 for v.
-24
Solve 0 = -3*x - 13*x + 177 - 33 for x.
9
Solve 7*o + 4*o = -5 - 50 for o.
-5
Solve 52*n = 72*n - 33*n + 91 for n.
7
Solve 859*c - 492*c = 4771 for c.
13
Solve -674 = -44*j - 2119 + 961 for j.
-11
Solve -37*f + 18*f - 171 = 0 for f.
-9
Solve 35*r + 9 + 5 = 14 for r.
0
Solve 0 = -2*m + 37 - 23 for m.
7
Solve 11*g - 43*g = -12*g - 15*g for g.
0
Solve 497 - 322 = -35*v for v.
-5
Solve 144*z + 1170 = 234*z for z.
13
Solve -18 = -56*q + 1326 for q.
24
Solve -268*a - 282*a + 310*a = -5040 for a.
21
Solve -113*z - 43 = -108*z + 17 for z.
-12
Solve 334 = -44*u + 211*u for u.
2
Solve 0 = 57*y - 18*y + 29*y - 476 for y.
7
Solve -436*t = 3359 + 1437 for t.
-11
Solve 3291*f - 3288*f + 3 = -0 for f.
-1
Solve 49*c = -21*c - 14*c + 672 for c.
8
Solve o = -9368 + 9374 for o.
6
Solve 38*q + 214 = -90 for q.
-8
Solve -9*f - 18*f + 175 + 662 = 0 for f.
31
Solve -534*h + 234*h - 608*h + 17 | {
"pile_set_name": "DM Mathematics"
} |
- x = -119, 2*x = -8. Suppose 0*c + m = 5*c. List the prime factors of c.
3
Let z(y) = 4*y + 10 - 3*y - 1. Suppose -3*r = -0 + 21. List the prime factors of z(r).
2
Let f(c) = c**3 - 7*c**2 + 6*c - 1. Let w be f(6). Let x be (-3)/(-2 + w)*13. Let h = x - 0. What are the prime factors of h?
13
Suppose -13*s - 30 = -15*s. What are the prime factors of s?
3, 5
Let r(h) = 4*h**3 - 2*h**2 + 2*h - 3. Let d be r(2). Let y = d - 13. What are the prime factors of y?
2, 3
Let p(i) = -3*i + 4. Let a be (12/(-10))/((-20)/(-50)). List the prime factors of p(a).
13
Let x(u) = 6*u**3 - 7*u**2 + 19. What are the prime factors of x(4)?
3, 97
Let w = 18 - 13. List the prime factors of w.
5
Let y = 8 - 1. Let x(h) = -h**3 + 7*h**2 + 2*h - 8. What are the prime factors of x(y)?
2, 3
Suppose 0 = -5*n + 3*o - 10, 4*n + 5*o = -n + 30. Let a(p) = -p**2 + 2*p + 4. Let g be a(3). List the prime factors of 6*g/1*n.
2, 3
Suppose 0 = v + 11 + 32. Let j = v - -83. What are the prime factors of j?
2, 5
Suppose 2*n = -p + 121, -3*n + 3*p = n - 267. Suppose 4*u + 15 = n. What are the prime factors of u?
2, 3
Let d(p) = -1. Let r(u) = -18*u**2 + 1. Let o(l) = -2*d(l) - r(l). List the prime factors of o(1).
19
Let t(a) = -a**3 - 4*a**2 + 2*a + 1. Suppose 0 = -0*s - 4*s - 20. Let x be t(s). Let v = x - 2. What are the prime factors of v?
2, 7
Let h = 271 + -36. List the prime factors of h.
5, 47
Let u be 2/(-5) + (-9)/15. List the prime factors of 0 + (32 - u)/3.
11
Suppose 0 = -5*u + 39 - 14. What are the prime factors of u?
5
Let f = -21 - -48. List the prime factors of f.
3
Let f = -6 - -2. What are the prime factors of (-48)/2*f/8?
2, 3
Suppose 3*v - 5*v = 5*c - 287, 3*c - 176 = -5*v. What are the prime factors of c?
3, 19
Let t be (0/2)/(2 + -1). Suppose -3*f = -t*f - 54. Suppose 0*d - 2*d = -f. What are the prime factors of d?
3
Let k(w) = -w - 2. Let z be k(0). Let r be (-55)/(-10) + 1/z. What are the prime factors of 9/15 - (-42)/r?
3
Let y(f) = -2 - 2*f**3 + 0 - 8*f**2 + f**3 + 4*f. List the prime factors of y(-9).
43
Let x = 32 + -22. Suppose 5*z = -x, 5*n - z - 8 = -2*z. Let g(w) = 5*w + 1. List the prime factors of g(n).
11
Let i(s) = s**3 + s**2 - 2*s - 1. Let x be i(-2). Let n be ((-2)/(-3))/(x/(-6)). Suppose -n*z - z = -45. List the prime factors of z.
3
Suppose -4*c - 5*n - 22 = 3, -n = -3*c - 14. Let u = c - -10. List the prime factors of u.
5
Let d(p) = 3*p - 24. What are the prime factors of d(10)?
2, 3
Let p(v) = v**3 - 6*v**2 + 2. Suppose 0 = 9*w - 4*w - t - 53, -3*t - 49 = -5*w. Let b = w + -5. What are the prime factors of p(b)?
2
Let m(h) = -3*h - h**3 + h**2 + 2*h**2 + 1 - h + 2*h**3. What are the prime factors of m(-3)?
13
Let d(i) = -i + 2. Let b be d(2). Let x(j) = -j**2 + 68. Let y be x(b). Suppose -u - y = -4*r - 3*u, -2*r - 5*u = -42. List the prime factors of r.
2
Let z = 39 + -56. Let w = z - -29. List the prime factors of w.
2, 3
Suppose 0*x - 9 = 3*x. Let z(g) = g**2 - 6*g. Let p be z(5). Let r = x - p. What are the prime factors of r?
2
Let t(j) = -4*j + 5*j + 1 + 3. List the prime factors of t(3).
7
Let o(y) = 5*y**3 - 4*y**2 + 2*y. List the prime factors of o(2).
2, 7
Let r(v) = v**3 - 8*v**2 + 5*v - 4. Let c be r(8). Suppose -n + 5*n = c. Suppose -n = -6*i + 3*i. What are the prime factors of i?
3
Suppose 0 = 5*o - 211 + 36. What are the prime factors of o?
5, 7
List the prime factors of -1 + 2238/4*14/21.
2, 3, 31
Suppose 2*x = -3*x + 3*c + 95, 2*x - c = 38. Let z = x - 11. List the prime factors of z.
2
Let p = 49 + -34. List the prime factors of p.
3, 5
Let l(j) = -j**3 + 10*j**2 + 11*j + 16. List the prime factors of l(9).
2, 7
List the prime factors of 4 + (18/(-12))/((-6)/368).
2, 3
Let b = 8 - 4. What are the prime factors of (0 + b)*(-4)/(-8)?
2
Let z(j) = -j**2 - 7*j - 5. Let i be z(-5). Suppose 5*v + 15 = -i. Let y = 9 + v. List the prime factors of y.
5
Let o(v) = v**2 + 3*v + 3. Let w be o(-3). Suppose 0 = -3*b, -w*p - 4*b = -29 - 4. What are the prime factors of p?
11
Let p be 2/4 + 3/6. Let k(a) = -a + 7. Let y be k(0). Let l = p + y. What are the prime factors of l?
2
Let v = 7 - 11. What are the prime factors of (-1)/4 + (-41)/v?
2, 5
What are the prime factors of (-10)/(-75) + 2816/30?
2, 47
Let n be (-1)/(-5) + (-38)/(-10). What are the prime factors of n/10 - (-272)/20?
2, 7
Let k be 17*(12 + 6/(-3)). Suppose 4*p = s + k, 5*s + 2*p + 468 = 2*s. What are the prime factors of 10/(-35) - s/14?
11
Let l(u) be the first derivative of -u**3/3 + 2*u**2 + 2*u - 3. Let y be l(5). What are the prime factors of (4 + -3)*y - -7?
2
Let a = -8 - -12. Let w(t) = t**3 - 4*t**2 + t - 2. List the prime factors of w(a).
2
Let v be ((-4)/(-3) - 2)*108/24. Let u(t) be the second derivative of t**4/12 - 2*t**3/3 - 3*t**2/2 + t. What are the prime factors of u(v)?
2, 3
Let t(j) = -2*j**3 - 2*j - 1. Let g be t(-3). Suppose -g = -3*v + 13. Suppose 0 = 2*u - 5*p - 6, 2*u + 4*p - v = 0. List the prime factors of u.
2
Let z = -60 - -87. Suppose 0 = 3*h - s + 51, 0 = -5*s + 2 - 17. Let p = z + h. List the prime factors of p.
3
Let a = -5 - -5. Suppose a = -t + 10 + 24. List the prime factors of t.
2, 17
Let a(i) be the first derivative of 2*i**2 - 2*i + 3. What are the prime factors of a(3)?
2, 5
Suppose -x = -4*b + 10, -14 = -5*b + 2*x - 0*x. Suppose -4*h - 2*w + 8 = 0, -2 = -h + 7*w - 2*w. Let m = b + h. What are the prime factors of m?
2
Let t(o) = -o**2 + 9*o. Let f be t(9). Let v = f + 3. Suppose h - 7 + v = 0. What are the prime factors of h?
2
Let p(h) = -10*h + 1. What are the prime factors of p(-1)?
11
Suppose -77 + 5 = 3*b. Let r(g) = -g**3 + 4*g**2 + 11*g - 6. Let i be r(6). Let n = i - b. What are the prime factors of n?
2, 3
Let c(d) = 12*d**3 - 2*d**2 + 1. Let w be c(1). Let l = -17 + w. Let f(r) = -r**3 - 7*r**2 - 7*r + 5. List the prime factors of f(l).
11
Suppose 4*u = 4*k, 0 = -4*u - 2*k + 3*k - 9. Let j(l) = -8*l - 3. What are the prime factors of j(u)?
3, 7
Let p(z) be the second derivative of z**5/20 - z**4/2 - z**3/3 + 4*z**2 - 3*z. Let h be p(6). What are the prime factors of (-11)/h + 1/4?
3
Suppose 5*w = -4*l + 168, 0*w - 51 = -w + 5*l. What are the prime factors of w?
2, 3
Suppose 4*r + 110 = 2*y, 5*y - 205 - 145 = -5*r. What are the prime factors of y?
5, 13
Suppose 24 = 2*x + 2. Suppose 1 = -3*t + 10. Suppose -16 - x = -t*i. List the prime factors of i.
3
Suppose -z - 10 = -6*z - 2*j, -2*j + 10 = -4*z. Suppose 3*b = -i + 16, -4*i - i + 5*b + 60 = z. List the prime factors of i.
13
Suppose -604 = -4*k - 4*v, 4*k + 3*v = 6*v + 576. What are the prime factors of k?
3, 7
Let h be (1 + (-4 - -2))*1. Let x be (-1)/(6/(-8) - h). What are the prime factors of (8/(-2))/(8/x)?
2
Suppose 0 = -5*d + b - 75, -b - 61 - 4 = 5*d. Suppose 0 = 3*c - 5 - 4. List the prime factors of -3*(d/c - 1).
17
Let o be -4*((-10)/(-8))/(-1). Suppose 3 + o = 4*k. Suppose 0 - k = -r - 2*g, 3*r = g + 20. What are the prime factors of r?
2, 3
Let u = 68 - 4. Suppose -4*z + u = -0. Suppose -3*n = n - z. List the prime factors of n.
2
Let n(b) = 0 + 1 + b + 1. Let r be (4/(-5))/2*-5. What are the prime factors of n(r)?
2
Let d(f) = f + 9. Let c be d(0). Let x(n) = n**2 - 8*n - 2. List the prime factors of x(c).
7
Suppose -t + 5*n = -45, -3*t + 115 = -0*n - 5*n. Suppose t + 57 = 4*y. Let x = y + -13. What are the prime factors of x?
2, 5
Suppose z + 416 = 5*z. What are the prime factors of z?
2, 13
Suppose 2*c + 6 - 66 = 0. Suppose -7*f + c = -2*f. What are the prime factors of f?
2, 3
Let q(s) = -s**2 + 4*s + 1. Suppose -5*n - 2*v = -25, 3*n - 1 = v + 14. Let z be q(n). What are the prime factors of ((-9)/6)/(2/z)?
3
Let q(i) = i**2 + 11*i - 13. Let z(t) = -t**2 - 12*t + 14. Let o(k) = -6*q(k) - 5*z(k). What are the prime factors of o(-6)?
2
Let u = -13 + 51. List the prime factors of u.
2, 19
Let f be 48/5 + 15/(-25). Suppose 0 = -5*v + f + 81. List the prime factors of v.
2, 3
Suppose -3*l = -3*m + 6*m - 6, -5*m - 5 = 2*l. Suppose -h + 5 = 4*f + 1, -h = l*f + 1. What are the prime factors of h?
2, 3
Suppose -5*c - 4*s - 8 = -4*c, c + 3*s + 5 = 0. Suppose i - 3*h - 28 = 0, -3*h + c*h = -5. What are the prime factors of i?
13
Let w(p) = -p**3 - p - 2. Let g be w(0). Let l = g + 5. Suppose -u - 4*q - 52 = -5*u, l*q = -u + 13. List the prime factors of u.
| {
"pile_set_name": "DM Mathematics"
} |
r i.
-4
Suppose -787 - 221 = -6*y. Let p = y + -154. Let x(w) = 4*w - 13. Let m be x(4). Solve i = -5*r - 26, m*r + 0*r = i - p for i.
-1
Let k(u) = -3*u - 35. Let h be k(-14). Suppose 4*w - a - h = 3, -3*w + 19 = 5*a. Let n be w/(-18) + (-1)/(-6). Solve -i - i - f = n, 4*i = -5*f for i.
0
Suppose k + 12 = 2*g, -k - 38 = -5*g - 17. Solve -10 = 5*a + 5*f, 3*a - g*f = -2*f - 18 for a.
-5
Let l(h) = 224*h - 1557. Let p be l(7). Solve -4*i + 2*z + 2 = 0, -i + p*z = 12*z - 5 for i.
2
Let x(u) be the first derivative of u**4/4 + 2*u**3 + 3*u**2/2 - 5*u - 6. Let h be x(-5). Solve 4*c - 4*n = -8, -h*c = -0*c - 3*n + 8 for c.
-1
Let d = 3881 - 3877. Solve 9*c + 4 = 11*c - y, 0 = -2*c - y + d for c.
2
Suppose 0 = 3*f - 4*y + 14, -2*y + 14 = -4*f + 12. Solve 4*u - u = -2*d - 3, -f = 2*u + 3*d for u.
-1
Let k(j) = 6*j**2 + 26*j + 10. Let w be k(-4). Solve n + 1 = -5*u - w*n, 5*u + n = 3 for u.
1
Let d(g) = -g**2 + 22*g + 506. Let s be d(36). Solve s*o = l - 2, -4*l - 12 = -144*o + 146*o for l.
-2
Suppose -59 = 3*g - 65. Suppose 10 - 16 = -g*h. Solve j = 4*q - h - 10, 2*q - 14 = 2*j for q.
2
Suppose -660 = -3*l - 9*l. Suppose 26*k = 21*k + l. Suppose -5*f + 17 = 5*z - 6*z, -f - k = -5*z. Solve -5*y + 25 = -0*y, 0 = i - z*y + 17 for i.
-2
Suppose 15*d - 2*d = 39. Let q be (d/(-24) + 21/(-24))*0. Suppose -3*o + 4*o + 4*a + 18 = 0, o + a + 3 = 0. Solve q = o*t - l - 1, 3*t - 5*l - 2 = -18 for t.
3
Let u(v) = 4*v**2 - 3*v**2 + 2*v**2 - 2*v**2 - 14. Let a be u(7). Let k = a - 32. Solve 14 = -k*f + 2*d, -f = -5*f - 5*d - 11 for f.
-4
Let v(n) = n**3 + 40*n**2 + 35*n - 155. Let y be v(-39). Solve -4*u - y = -2*d - 7*u, 5*d + 23 = u for d.
-4
Suppose -732 = -u - 717. Suppose u*v - 87 = -57. Solve -3*a + v*g = -9, -7 = -2*a + 2*g - 3 for a.
5
Let t(b) = -28 + b**3 + 16*b - 34*b + 29*b - 3*b**2. Let h be t(3). Solve -2*y - 2*y - 5*q + 17 = 0, 5*q = h*y - 10 for y.
3
Suppose 17 + 8 = -5*d. Let t be 3/((-15)/4)*d. Let s be ((-2)/4)/(42/28)*24/(-2). Solve i = -t*y - 23, 3*i + 8 = y + s for y.
-5
Let r(q) = -48*q**3 - q**2 + 1. Let n be r(-2). Let x = 396 - n. Solve -i - 8*h + 3*h + x = 0, 4*i - 3*h = -9 for i.
0
Let j = 3707 + -3703. Solve -28 = -18*b + 13*b + 3*m, -j*m - 4 = 0 for b.
5
Suppose -3*l + 66 = -5*z + 8*z, 4*l - 68 = z. Solve 3*u + 3*t = -15, -t - 17 = -u - l for u.
-3
Let z be (0 - (-432)/56) + 4/14. Suppose -z*g = -g - 28. Suppose -g*w + 66 = -6. Solve k = -3*k + 5*i - w, -5*i = -k - 12 for k.
-2
Suppose -5*r + 23*r = -18*r. Solve -4*u + 5 - 10 = -5*m, r = 4*u + 2*m + 26 for u.
-5
Let f(g) = -g**2 - 12*g - 8. Let u be f(-11). Suppose u*v = -v. Suppose -3*c - 70 + 76 = v. Solve -c = -2*t - 2*x, -2 = x - 4 for t.
-1
Suppose 3*z + u - 4 = 0, -2*z - 5*u = 2*z + 13. Solve 5*a = -z*q, -3*q + a - 7 = 11 for q.
-5
Let h be 4/10 - (-5 - 2376/60). Solve -5*o - 6*k + k + h = 0, -3*k = o - 17 for o.
5
Suppose 120 = 14*t - 62. Suppose -19*a - 13 = -t. Solve 3*n + b - 2*b + 1 = a, -4*n - b = -8 for n.
1
Suppose 32*s + 95*s = 381. Solve -3*r + 9 = x - 0*r, 3*x - 3*r = s for x.
3
Let k(d) = d**3 + 9*d**2 + 3*d - 38. Let v be k(-8). Let h be (v/(-4))/(14/(-140)). Solve 4*j = h*w - 17, 3*w = w + 10 for j.
2
Let j(q) = 6*q - 28. Let r be j(11). Let v = r - 42. Let k be 12/v + 1/(2/18). Solve 0 = 5*s + 3*a + 8, 3*s - 2*a = -5*a - k for s.
-1
Suppose -q + 626 = 4*h, q - 605 = h - 2*h. Solve -4*z + 590 = 3*x + q, 3*x = 3*z - 15 for z.
1
Let f = -1123 + 1239. Solve 2*l - 12 = 2*x, -x + 98 - f = -5*l for l.
3
Let q(x) = 4*x**2 + 354*x + 701. Let m be q(-2). Solve 4*w = 16, u + 6*w - 4*w - m = 0 for u.
1
Let y(c) = -c**2 + 40*c + 186. Let t be y(-4). Solve 2*k + 15 = 5*s, -5*k - t = -5*s + 20 for k.
-5
Suppose 2*o = -3*o - 10, 0 = -m - 5*o - 7. Suppose -3*z + m*d = 3, -3*d = -5*d + 2. Solve -4*k + 12 = -4*h, 4*h - 5*k + 4 + 8 = z for h.
-3
Let d be ((-2)/3)/((-8)/35 - 20/(-210)). Solve -3*c + 5*c - 3 = d*j, c = -5*j + 9 for j.
1
Suppose 679 = 44*p - 245. Solve -a - 3*y = y - p, 4*a - 2*y = 12 for a.
5
Let f = -605 - -631. Suppose -5*t = 3*w - 25, 4*w - 4*t - f = -7*t. Solve 0 = -4*p + 3*p - 1, w*p = -5*b + 20 for b.
5
Let l be (-6)/15 + (-248)/(-20). Suppose -l = -3*g - 0*g. Let f(x) = x**3 - 37*x**2 - 43*x + 194. Let h be f(38). Solve -h = -b + q + 1, -g*b - 4*q = 20 for b.
0
Let k be 1/(-2)*1*-40. Let g be (-12 + 0)*27/(-18). Suppose -4*m = -g + 6. Solve 3*d - 8 = 2*f - m*f, k = -2*f + 3*d for f.
-4
Suppose 1593 = 4*k - t, -25 = 5*t - 0*t. Suppose 0 = -k*a + 390*a + 63. Solve -4*p - 6*d + 1 = -d, -3*d - a = 0 for p.
4
Let l(t) = -t**3 - 20*t**2 + 21*t + 4. Let b be l(-21). Suppose -7*a - b = -8*a. Solve 3*p - 2*w = 17, -3*p - a*w = -4 - 7 for p.
5
Suppose 9 = 5*c - 56. Let x = -286 + 280. Let t(o) = 26*o + 158. Let j be t(x). Solve -c = -5*m + 2*v - j, 12 = -4*v for m.
1
Suppose -f - 15 + 20 = 5*n, -2*f - 10 = 0. Solve -4*j - 8 = 2*p - 9*j, 5*p - 9 = -n*j for p.
1
Let c = 28009 - 27989. Solve -y - c = 3*t - 35, 3 = -3*t + 5*y for t.
4
Let i(q) = -53*q - 154. Let s be i(-3). Solve 5*y - 20 = 0, 3*a + s*y - 16 = 5*a for a.
2
Suppose 74*d = -344*d + 2090. Solve 3*b - 2*h = 18, h - d*h = -4*b + 28 for b.
4
Suppose -78*l = -19*l - 118. Solve 3*u + l = -5*i, -2*i + 29*u = 34*u + 16 for i.
2
Suppose 0 = 6*q - 5*q, -7*o = -q - 63. Solve -3 = -3*k - 3*a, -20*k - a - o = -24*k for k.
2
Let q(v) = -630*v + 10. Let h be q(-1). Let w be (-16)/(h/150)*16/(-6). Solve 4*l = j - 22, -5*l + l - w = 5*j for j.
2
Suppose 0 = -0*w + 2*w + o + 255, 0 = -o + 5. Let p = w + 133. Let k = -4 + 6. Solve -u = k*x - 3 + 2, 4*x + 3 = p*u for x.
0
Suppose k = 5*k - 20. Suppose k*o = 3*m - 5, -4*o + 3*m + 2*m = 17. Suppose 5*i + 3*w = 0, 2*w = i - o*w. Solve -3*h + 4*s + 4 + 1 = i, h + 1 = 4*s for h.
3
Suppose -b + 2*n + 12 = 0, -7*n = 2*b - 9*n - 16. Solve 22*v - 5*p = 19*v - 7, 0 = 4*v + b*p + 20 for v.
-4
Suppose 2*s = -s - 3. Let t be (-42)/(-10) - (s + 4)/15. Suppose -2*j = 3*j + 4*l - 2, -2*j - 4*l = 4. Solve -4*g = t*o - 28, -3*g + 23 = j*o + 2*o for g.
5
Let r = -4696 + 4701. Let s be (-4)/(0 + -1 + 0). Suppose 3*x - 2*x = -m + 6, 28 = r*x + s*m. Solve -3*g + v + 3 = 0, -2*g - 3*v = -x*g + 9 for g.
0
Let z be -2 + 2 - 4 - (2904/(-12))/22. Solve a + w = -2*a - 13, -z = 5*a - 2*w for a.
-3
Let k = -4 - -8. Let m = 549 - 617. Let t be 5/4*m/17*-1. Solve 0 = t*j - g - 19, 4*j - 2*g = -k*g + 18 for j.
4
Let y = 113 - 128. Let m be -1 + (-21)/y - (-32)/(-80). Solve 0 = -2*r - 4*b - m*b - 12, -4*b = -4*r - 12 for r.
-4
Let m(o) = 5*o**2 - 52*o + 17. Let u be m(13). Let g be (u/124)/((-6)/(-44)). Solve -4*x + 5*s + 3 + g = 0, 2*x - 8 = 3*s for x.
1
Let d(u) = -u**3 + 16*u**2 + 161*u + 1. Let b be d(23). Solve -2*g - b = -p - 0, 4*g + 14 = -2*p for g.
-2
Let j(w) = -w**2 + 5*w - 2. Let i = -158 + 84. Let k = -72 - i. Let u be j(k). Solve -u = -2*z, 3*t + 0*z - 6 = 3*z for t.
4
Suppose -81 = 114*c - 141*c. Solve 4*x - q + 8 - 13 = 0, 2*x + c*q = 13 for x.
2
Let i(s) = -4*s**2 + 6*s - 22. Let f be i(4). Let l = f + 102. Solve 4*d + 28 = 4*q - q, -l = 5*d - 5*q for d.
-4
Let q be 0/(91/(-35) - 2/5). Suppose q = 10*m - 7*m - 6. Suppose 3*x - m*x = 17. Solve j - x = 5*i - 0*j, -5*j - 15 = 0 for i.
-4
Let u = -21 + 70. Suppose 2*j = -2*j + 5*z + u, -38 = -3*j + 4*z. Suppose -j*r = -12 - 0. Solve 3 = 2*t + 5, -o + 1 = -r*t for o.
-1
Let r(f) = 24*f - 61. Let u be r(3). Suppose u*b + 3 = 14. Solve 15 = -3*d + 2*s - 6, 0 = -2*d - 3*s - b for d.
-5
Let x(y) = -y**3 - 40*y**2 + 31*y - 374. Let h be x(-41). Solve 32*g - h*g = 4*d + 36, -3*g + 21 = -5*d for d.
-6
Suppose -7*f - 4*r = -10*f + 101, 0 = 4*f - 3*r - 116. Solve 0 = 25*l - f*l - 4*d - 18, 2 = -2*l - d for l.
1
Let f be 8*-1 - (-562 + 0). Let r = -552 + f. Solve 2*j - 2*b - r*b + 10 = 0, -4*b = -4*j - 8 for j.
1
Let x = -24 + 28. Suppose x*p - 6*p = -j + 17, 60 = 5*j - 5*p. Let q be (1*-4)/(-1*(3 - 2)). Solve -q*k - 3*f - 7 = j, 16 = -2*k + 3*f for k.
-5
Suppose 2*k + 2*d - 24 = 0, -4*d - 22 = -5*k - 25. Solve -4*i = -k*v, i = -v + 3*i for v.
0
Let p(s) = 27*s**2 + 2*s - 1. Let j be p(2). Let b = -107 + j. Solve 5*c + 8 = -v - 12, -b*v - 3*c - 29 = 0 for v.
-5
Let n be (-12)/(-9) + (-239)/(-3). Suppose -u + 5*o + 70 = 0, -8*u + 4*u + 349 = 3*o. Let y = u - n. Solve 2*q - q + 2*m - 1 = 0, 2*m = -y for q.
5
Let k(m) = -9*m + 397. Let h(v) = -9*v + 399. Let z(w | {
"pile_set_name": "DM Mathematics"
} |
555997 times -0.9
9500397.3
0.1777*-0.1
-0.01777
-0.1426*-0.07919
0.011292494
What is the product of 1.07 and -2324?
-2486.68
-325919101.4 times 0.1
-32591910.14
Product of -3950.387 and 8.
-31603.096
Calculate -0.7948*1.4932.
-1.18679536
Work out 27759 * -18.7.
-519093.3
Calculate 14269241*0.4.
5707696.4
Calculate 4.85*-5332.
-25860.2
-4532 * 106.58
-483020.56
Calculate 731*-64908.
-47447748
Calculate 8.565922*1.5.
12.848883
Calculate 14*-4751.6.
-66522.4
18175 times 3237
58832475
Work out -3683359 * -0.2.
736671.8
-3280276 times -81
265702356
Calculate -2.80638*-1.
2.80638
Calculate 530.3*-707.
-374922.1
What is 46086 times -776?
-35762736
Product of -0.146 and -691.75.
100.9955
5 * 19930083
99650415
5*9530877
47654385
Multiply -1.9 and -409479.
778010.1
17.6243*150
2643.645
Calculate 15.200762*-2.
-30.401524
Work out -1.694311 * 35.
-59.300885
-0.14 times -22910164
3207422.96
144*-33604
-4838976
Multiply -0.05 and -235112.
11755.6
-3 times 3313924.78
-9941774.34
1053*0.06651
70.03503
721869*3
2165607
Work out -1221 * 1610.
-1965810
Calculate -0.52*-0.533757.
0.27755364
Multiply 0.4 and 78302991.
31321196.4
What is the product of 2310096 and 6?
13860576
12 * -2.5816591
-30.9799092
-0.00280331 times 0.1
-0.000280331
0.4036 * 24.528
9.8995008
Work out -523342512 * 0.
0
What is 390719 times -35?
-13675165
Calculate -6.9*955183.
-6590762.7
What is the product of -0.1718 and -10.415?
1.789297
-181422 times 3.41
-618649.02
Calculate 45622*28.
1277416
Calculate 558*-23655.
-13199490
What is -0.2 times 2775212?
-555042.4
Work out 1 * -18958666.
-18958666
Multiply -0.070381101 and 0.03.
-0.00211143303
What is -1238977 times -230?
284964710
-1092.4841*0.01
-10.924841
0.5*-1481462
-740731
Product of 3066015 and 0.65.
1992909.75
Product of 5 and 1046908.
5234540
Work out 26724798 * 0.5.
13362399
Product of 0.124281015 and 4.
0.49712406
Calculate -7*267884.15.
-1875189.05
What is the product of 0.0202 and 514035?
10383.507
Product of 1930 and 0.58118.
1121.6774
Product of 0 and 2198486.
0
What is the product of 0.3 and -116259.35?
-34877.805
Product of -7.353 and 1.989.
-14.625117
Calculate -300*0.08453.
-25.359
Product of -299270 and -1.042.
311839.34
Calculate 5382086*-1.
-5382086
12.5163*0
0
What is the product of 0.0939051 and 2.93?
0.275141943
-1 * 60.31617
-60.31617
43 times 3392944
145896592
Multiply 15.4276 and 472.
7281.8272
0.2444*3.9952
0.97642688
Product of 0.4 and 9195785.
3678314
What is 30.3 times -242791?
-7356567.3
-8*-93.7669
750.1352
Calculate 0.177723*10.
1.77723
Product of -4 and 2375.947.
-9503.788
-0.1 * -112878935
11287893.5
Multiply -2.2243 and -3925.
8730.3775
Work out 295.0046 * 8.
2360.0368
Calculate -27.4157*28.
-767.6396
Product of -828084899 and 5.
-4140424495
What is the product of -179267 and -0.154?
27607.118
Calculate -12.77*67162.
-857658.74
-93835448 times -3
281506344
Work out -0.5 * -2501789.
1250894.5
What is -34644 times -384?
13303296
What is the product of -2 and -3.179656?
6.359312
Work out -6393 * 4.224.
-27004.032
What is the product of -8932476 and 5?
-44662380
Calculate -1375*28189.
-38759875
Work out -150.0604 * 65.
-9753.926
Calculate 944573*446.
421279558
What is 0.016 times -330531?
-5288.496
Product of 58876 and -1.545.
-90963.42
3 times -275.30971
-825.92913
Work out 660450 * 61.
40287450
Multiply -242.35522 and -1.
242.35522
Calculate 1.8*0.23408.
0.421344
1244245 * -7
-8709715
Multiply -0.0158 and -0.230338.
0.0036393404
What is -1469594 times -0.88?
1293242.72
Work out 36.2757 * 751.
27243.0507
Calculate -41862933*-10.
418629330
Work out -242980 * -0.156.
37904.88
-2 times 43098664
-86197328
-1919 times -1006
1930514
What is the product of 869 and -47264?
-41072416
What is the product of 5 and 15157.168?
75785.84
-5347.3 * -0.0414
221.37822
Product of 2 and 3234.54.
6469.08
-215676633*0.2
-43135326.6
Calculate -2*88586965.
-177173930
What is the product of 0.1 and -1023.19672?
-102.319672
-0.04 * 6301524.6
-252060.984
Work out 13215 * -385.
-5087775
Product of -588.77 and 4.2.
-2472.834
Product of -258399 and -865.
223515135
0.014*2655
37.17
Multiply 0.142846 and 2034.
290.548764
Multiply -1021591 and -12.
12259092
What is the product of 6 and -821141.4?
-4926848.4
What is -8.9753 times -90?
807.777
0.8607671*-0.19
-0.163545749
-4 times -22575693
90302772
Work out 1671252 * 3.
5013756
Calculate -470*-48.86.
22964.2
Product of -488467 and 0.37.
-180732.79
0 times 17977021
0
Work out 1 * 0.185232509.
0.185232509
-2237334 times 1
-2237334
304039*68
20674652
Product of 2 and 0.056119205.
0.11223841
What is the product of -18519478.6 and -0.1?
1851947.86
-366 * 413783
-151444578
What is 4 times 11.06349?
44.25396
Work out -2052 * 203.97.
-418546.44
-547735 * -48
26291280
Multiply 0.06 and -174.4528.
-10.467168
What is 2460.6 times -711?
-1749486.6
-308 times 0.17442
-53.72136
What is the product of -3 and 304112.4?
-912337.2
-3603392197 * -0.4
1441356878.8
Calculate 1163104*-3.
-3489312
Work out -367.3778 * 1.
-367.3778
73.298 * 0.056
4.104688
Product of -73 and 14.04778.
-1025.48794
-318 times -129.0359
41033.4162
Work out 96 * 139962.
13436352
What is 0.194 times 3129811?
607183.334
-589043.3*-4.5
2650694.85
20.917017*0.2
4.1834034
Work out -1089229 * 0.9.
-980306.1
Work out 40980410 * 0.5.
20490205
Multiply 47.95929 and -0.18.
-8.6326722
Calculate -9*-2.0261152.
18.2350368
Work out 1 * -51646779.
-51646779
Calculate 4736*-414.
-1960704
Work out -0.4 * -205642999.
82257199.6
Work out 7.59 * -14880.
-112939.2
Work out -0.042 * 5037603.
-211579.326
-26.00361 * -0.2
5.200722
What is -10696 times 224?
-2395904
2 times -961.6511
-1923.3022
Multiply -84664719 and -0.5.
42332359.5
What is the product of 978 and -18945?
-18528210
Calculate 373421*0.2748.
102616.0908
What is 10.9 times 13.8214?
150.65326
-405.41 * -3216
1303798.56
What is the product of -3 and 1.1778946?
-3.5336838
5*-0.100271979
-0.501359895
Multiply 5 and -61415906.
-307079530
-137858 * -653
90021274
5.8 times -688
-3990.4
What is the product of -299407720 and 0?
0
Work out -53.1 * 10710.
-568701
-12550830.7*-0.1
1255083.07
-24460 * -0.42
10273.2
238049392*5
1190246960
What is the product of -1 and 1553443?
-1553443
What is -10 times 726747?
-7267470
Multiply -691382796 and 0.2.
-138276559.2
Product of 237933071 and -4.
-951732284
Multiply -0.1716 and 135.492.
-23.2504272
15.6554 times -0.344
-5.3854576
What is the product of 1763220 and 26?
45843720
Work out 142881 * 23.98.
3426286.38
3.2925 * -83.1
-273.60675
What is 338.69752 times 0.2?
67.739504
What is the product of -62320293 and -3?
186960879
-494941.5*-146
72261459
What is the product of -199009754 and 0?
0
Product of -4 and 421337.
-1685348
1728067 * 0.03
51842.01
-6.1*-10.295
62.7995
What is the product of 417.34 and -136.1?
-56799.974
Work out 0 * 68008112.
0
-11545849*-5
57729245
-1580066 times -1
1580066
5614.09 * 14
78597.26
What is the product of -590226 and 0.091?
-53710.566
What is the product of -0.07610288 and 6?
-0.45661728
What is the product of 12345117 and -33?
-407388861
Work out 11291 * 579.
6537489
0.55*-3461987
-1904092.85
Product of -0.4 and -0.05744819.
0.022979276
Work out -2.0991 * -5399.
11333.0409
Product of -797.3 and 12.91.
-10293.143
What is the product of 64270 and -225?
-14460750
Multiply -202 and 354886.
-71686972
-14810.29 * -2
29620.58
Work out 0.4 * -382603.
-153041.2
Multiply 2884208 and 0.3.
865262.4
Calculate -7283040*-10.
72830400
-4*-449514.39
1798057.56
0.5*0.84979254
0.42489627
Calculate 0.02*32005120.
640102.4
Calculate -0.2*-161856936.
32371387.2
Product of 49 and 163948.
8033452
What is 175021 times 0.23?
40254.83
Calculate 56449.3*-0.096.
-5419.1328
-72987 * -2.93
213851.91
Product of -1129.9 and 0.0121.
-13.67179
Multiply -0.06572 and 40.676.
-2.67322672
Product of -9.578 and 1265.
-12116.17
Multiply 149.26 and -2.9427.
-439.227402
Product of 636066 and 0.189.
120216.474
-0.1 * 0.0958559
-0.00958559
140807*-2.5
-352017.5
1218245 times -386
-470242570
Work out 1232 * 541.
666512
Multiply 0.06 and -17175.889.
-1030.55334
5*90793.25
453966.25
Multiply -0.48 and 1164.08.
-558.7584
What is the product of -5719 and -28884?
165187596
Calculate 93243*-13.
-1212159
Calculate -0.1661*-61791.
10263.4851
What is -1081.2 times 0.1203?
-130.06836
| {
"pile_set_name": "DM Mathematics"
} |
et s = 2.86 + 0.14. Sort 0.1, s, y.
y, 0.1, s
Suppose 0 = 2*w - 4*w - 2. Let x = 17 - 67/4. Put x, w, 5 in descending order.
5, x, w
Suppose 3*m - 3*x + 3 = m, -6 = 3*m - 5*x. Let r be ((-21)/35)/(2/10). Let h be 8/6 + (-2)/6. Sort h, r, m in ascending order.
r, h, m
Let c = 1.4 + 0.6. Suppose h + 13 = -3*a - 3*h, h + 2 = -2*a. Let z be -8*(1 + a/(-2)). Put c, 1/6, z in increasing order.
z, 1/6, c
Let q(t) = -t**2 + 3*t. Let w be q(3). Put 7, w, 1 in increasing order.
w, 1, 7
Suppose 5*o + 3*j = -24 + 7, 4*o = -j - 15. Suppose 4*k = -k. Let c be k/(-3) + 0 - -1. Put o, -1, c in ascending order.
o, -1, c
Let g(p) = p**3 - 11*p**2 + 11*p - 4. Let k be g(10). Suppose 3*a = -v - 6, 5*v + k + 10 = -a. Put a, 2, -5 in ascending order.
-5, a, 2
Let z = -3.29 + 1.29. Sort 0, 2, z, 0.4 in decreasing order.
2, 0.4, 0, z
Let g be 0 + 0 - (2 - 3). Let f be g/(27/6*1). Let s be 2/10*(-30)/(-24). Sort s, -0.4, f.
-0.4, f, s
Let x = 0.4 - -0.1. Let n = 2/221 - 456/1547. Sort n, x, 0.1 in descending order.
x, 0.1, n
Suppose -6 = -c - 0*c. Let f = c + -4. Suppose -f*h + 3*j + 12 = -2, -4*h + j = -8. Sort 5, h, 4 in ascending order.
h, 4, 5
Let m(s) = -s**3 + 7*s**2 + 10*s - 8. Let d be m(8). Let x be (0 - -7)/(9 - d). Let y = 4 + -8. Put y, x, -2 in increasing order.
y, -2, x
Let t(v) = -2*v**2 - v + 19. Let z be t(3). Sort -6, -4, z in decreasing order.
z, -4, -6
Let r(i) = i**2. Let q(p) = p**2. Let f = -5 + 9. Let h(z) = f*q(z) - 5*r(z). Let x be h(2). Put x, -2, 3 in decreasing order.
3, -2, x
Let h be (-2 - (-12)/8)*2*1. Let n be (1 - (6 + 0)) + 0. Let f(c) = -c**2 - 7*c - 8. Let g be f(-6). Put h, n, g in increasing order.
n, g, h
Let z(u) = u - 4. Let q be z(-3). Let n = 10 + q. Suppose -3 = -w - 5. Sort 5, w, n in descending order.
5, n, w
Suppose 0 = -5*g - 3 - 7. Let j be (-2)/((-2)/10*g). Put j, 0, -4 in decreasing order.
0, -4, j
Let y = -0.8 + 0.5. Let k(l) = l**2 + 11*l - 6. Let n be k(-10). Let j be (-34)/(-4) + 24/n. Sort 0.4, y, j in increasing order.
y, 0.4, j
Let o = 51 - 44. Put 3, o, -2 in descending order.
o, 3, -2
Suppose 2*a - 5 = -p + 5, 0 = a - p - 5. Suppose 5 = -5*h - a. Sort h, 1/9, -2/11.
h, -2/11, 1/9
Let a = 8 + -5. Let t = -2/2243 - 11183/35888. Let n = t + -1/16. Sort n, -1, a.
-1, n, a
Let y(p) = 2*p + 3. Let w be y(6). Suppose 0 = -3*t - 2*t + w. Suppose 5*x - 3 - 7 = 0. Sort 1, x, t in decreasing order.
t, x, 1
Let i = 1 + 0. Put 5, i, 0 in ascending order.
0, i, 5
Let c be (-2)/(-6)*(-3)/8. Let i = -0.012 - 0.188. Put 0.4, i, c in decreasing order.
0.4, c, i
Let w = 583 + -392. Let u = -958/5 + w. Let j = 27 + -27.2. Sort u, j, 4.
u, j, 4
Let k(g) = -g**3 + 10*g**2 + 4. Let n be k(10). Sort n, 3, 2 in decreasing order.
n, 3, 2
Let r = 6.36 + -1.36. Sort r, -4, -2/11, -1/3 in increasing order.
-4, -1/3, -2/11, r
Let q be ((-2)/(-1))/(1/(-2)). Let w = 0.057 - -2.943. Sort q, -2/15, w.
q, -2/15, w
Suppose 3*v - 162 = -3*v. Put -5, v, -4, 2 in increasing order.
-5, -4, 2, v
Let g = -31/5 + 119/20. Sort -2, -0.2, g in ascending order.
-2, g, -0.2
Let a(g) = -g**2 - 14*g - 32. Let m be a(-11). Sort -52, m, 2.
-52, m, 2
Let g(q) = 2*q**2 - 2*q**2 + 0*q**2 - 3*q**2. Let i be (0 - (0 + -1))*-1. Let j be g(i). Put j, 0, -5 in decreasing order.
0, j, -5
Let c = -13/25 - -8/25. Sort 0.5, c, 4 in increasing order.
c, 0.5, 4
Let v(p) = -p**3 - p**2 - 3*p - 1. Let r be v(-2). Let t be r/(-6)*2/(-5). Put -3/7, 0.2, t in descending order.
t, 0.2, -3/7
Let r = 2 + -4. Let q = -4 + 1. Let b = 2.8 + q. Sort r, b, -2/7 in descending order.
b, -2/7, r
Let p = 145 - 144. Sort 4, -4, p, -0.1 in increasing order.
-4, -0.1, p, 4
Let x = 4.1 - -0.9. Let i(l) = l. Let b be i(-4). Let k = b + 6. Put k, -0.1, x in descending order.
x, k, -0.1
Suppose 4*w = 9*w. Suppose q + 2*q = w. Put 4, q, 5 in decreasing order.
5, 4, q
Let g = -4 + 10. Suppose 0 = 3*b - 5*b - g. Let v = b - 0. Sort v, -2, -5.
-5, v, -2
Let f be (0 - 4)/(-10 - -14 - 3). Let w(u) = u**3 - 2*u**2 - 2*u - 4. Let t be w(3). Sort t, 1, f in ascending order.
f, t, 1
Let n(x) = -x + 5. Let g(q) = -q**2 + 3*q + 4. Let b be g(4). Let d be n(b). Suppose 3*k - 7 - d = 0. Put -5, k, 1 in descending order.
k, 1, -5
Suppose -5*y - 10 = 3*r, 0 = 3*r - 2*r - 5*y + 10. Let j = 21 + -19. Let a = j - 1.7. Sort r, 3, a in descending order.
3, a, r
Suppose 1 = k + x + 2, -5*k + 5*x + 45 = 0. Suppose 0 = -3*d + 6 + 12. Suppose 2*h + 0 = -d. Sort k, h, -5 in increasing order.
-5, h, k
Let g be (-1)/(-4) + 153/(-36). Sort 3, 6, g in decreasing order.
6, 3, g
Let o = -47/3 - -173/12. Sort 1, -2, o, 1/4 in decreasing order.
1, 1/4, o, -2
Let u(i) = -3*i + 1. Let j be u(-5). Sort 2, 4, j in increasing order.
2, 4, j
Suppose -8 = -4*h + 4*r, 4*h + 1 = 7*h - 4*r. Sort 4, h, -1, -2 in decreasing order.
h, 4, -1, -2
Let w(y) = -2*y + 4. Let m be w(6). Let r = -6 - m. Let z be 20/(-65)*r/(-4). Put -1, z, -0.4 in ascending order.
-1, -0.4, z
Let p(v) = v**2 + v - 4. Suppose -3*d + 12 = -7*d. Let x be p(d). Sort x, 4, 5 in descending order.
5, 4, x
Let w be -1 + 4/(-22) + 38/88. Let m = -2 - -1.8. Let d = -0.3 - m. Put d, 0.2, w in descending order.
0.2, d, w
Let v = -2.8 + 3. Let h = 11 - 11. Let a be 2*-3*3/(-126). Put v, h, a in ascending order.
h, a, v
Let s = 55/48 + 3/16. Let r = 9.7 - 5.7. Put -5, r, s in decreasing order.
r, s, -5
Let g = 55 + -55. Put g, 1, -4 in ascending order.
-4, g, 1
Suppose -3 = -4*c + 3*k + 1, 0 = 4*c - 4*k. Suppose 0 = c*x - x - 3, -4*x + 12 = 4*l. Sort -2, 0, l.
-2, 0, l
Let i = 0.53 - -9.97. Let u = i - 10. Sort -1/2, u, 1/3.
-1/2, 1/3, u
Let x(r) = -r**2 + 3*r + 2. Let i be x(0). Sort 1, 3, 4, i in ascending order.
1, i, 3, 4
Suppose y + 3 - 22 = -3*t, 0 = -4*y + 4. Let h = -3 + t. Suppose b = 4*r - 18, -4*r - h*b = -0*r - 10. Put 2, r, 5 in decreasing order.
5, r, 2
Suppose -3*q + 4*q = -4. Sort q, 1, 2.
q, 1, 2
Let k be (4/(-2))/(1/2). Suppose 0 - 20 = -3*q + 5*z, 3*z + 24 = 3*q. Let p be 15*(q/6 - 2). Sort -1, p, k in decreasing order.
-1, k, p
Let l(f) = -f**2 - 5*f - 6. Let g be l(-4). Suppose 2*y - 1 = 1. Let j = -1 - -1. Sort g, y, j.
g, j, y
Let c(o) = o**3 - 3*o**2 - 5*o + 3. Let z be c(4). Put 2/13, z, 0.4, 0.3 in descending order.
0.4, 0.3, 2/13, z
Let y(w) = -w**3 + 8*w**2 + 11*w - 14. Let l be y(9). Suppose -m - 5*n = -2*n - 4, n = -3*m - 4. Let h = -2.93 + -0.07. Sort l, m, h in descending order.
l, m, h
Let f = 19 + -20. Let m = -6 - f. Sort m, -2, 1 in descending order.
1, -2, m
Let k(v) = -v + 10. Let z be k(5). Suppose 5*j - 5 = -6*i + i, 5*j = -3*i + 9. Sort z, -5, j.
-5, j, z
Suppose -z = -a + 20, 2*a + 5*z + 40 = 4*a. Suppose -5*p + 2 = 3*k, -5*p + p = -3*k + a. Let i be (-2)/18*-3*(-1 + 4). Put p, 4, i in decreasing order.
4, i, p
Let u(h) = h**3 + 7*h**2 + 5*h - 3. Let r be u(-6). Suppose -y = -5*i - 22, -3*i - y = r*y + 4. Suppose 0 = -2*v + 4 - 14. Put v, -1, i in ascending order.
v, i, -1
Let y be (4/6)/(5/15). Let f be ((-3)/6)/1*y. Let d = f + 0. Put d, 4, 1 in descending order.
4, 1, d
Let l = -8 + 12. Let j be 0/3*2/(-4). Suppose j = 4*r - 0*r - 4. Sort l, r, 3.
r, 3, l
Let o = 67/207 - 10/23. Sort 0.14, 3, o in decreasing order.
3, 0.14, o
Let k = 1.32 - 1.3. Suppose -3*v - 4 = v. Sort k, v, 0.2 in descending order.
0.2, k, v
Let d = 19 - 28. Let q be (6/d)/((-8)/(-9)). Let r = 0.2 + -0.1. Sort r, q, 3/4.
q, r, 3/4
Suppose 4*g + 13 = 5. Let q = 0 + -1.6. Let d = -0.6 - q. Sort 0.2, d, g in decreasing order.
d, 0.2, g
Let c = 117 + -471/4. Sort 0.3, c, 0.046, 1/3 in increasing order.
c, 0.046, 0.3, 1/3
Suppose 0 = -n + 3*b + 12, -4*n + 3*b = 5 - 17. Suppose -4*o + 8 + 8 = n. Suppose -o*i + 2 = -6*i. Put i, 4, -2 in descending order.
4, i, -2
Let m = -5 + 5. Sort m, 8, 2 in increasing order.
m, 2, 8
Let w(c) be the first derivative of c**2 + 2*c - 1. Let i be w(-2). Suppose -4*g + 6*g - 6 = 0. Sort i, g, -4 in decreasing order.
g, i, -4
Let a be (12/8)/(1/10). Suppose -2*h - a = -7*h. Suppose 0 = -v + 1 - h. Sort v, 5, -5 in descending order.
5, v, -5
Let p = 78 + -82. Put p, 4, 3, 0 in descending order.
4, 3, 0, p
Let s(i) = -i. Let j be s(-5). Suppose 26 = j*t + 6. Let q = 39 - 38. Sort q, 0, t.
0, q, t
Let x(b) = -3*b + 49. Let n be x(16). Suppose 3*r = 4*r + 2. Put r, -1, n in descending order.
n, -1, r
Let v = 5.4 - 5. Put 0.5, -2, v, 5 in in | {
"pile_set_name": "DM Mathematics"
} |
n two letters picked without replacement from ijeesijejieejjjej?
3/68
Calculate prob of picking 2 b and 1 n when three letters picked without replacement from {n: 1, p: 1, o: 5, b: 6, i: 1}.
15/364
Calculate prob of picking 2 g when two letters picked without replacement from {h: 1, m: 2, g: 8, f: 5}.
7/30
Four letters picked without replacement from {f: 3, a: 3, x: 3, e: 1, o: 2, v: 1}. Give prob of picking 1 a, 1 f, 1 e, and 1 v.
9/715
Three letters picked without replacement from qxekqijx. What is prob of picking 1 x and 2 q?
1/28
Two letters picked without replacement from {l: 4}. Give prob of picking 2 l.
1
Four letters picked without replacement from poojpjjpjj. What is prob of picking 2 p and 2 o?
1/70
Four letters picked without replacement from {f: 2, z: 1, r: 3, j: 1, x: 5}. What is prob of picking 2 r, 1 f, and 1 z?
2/165
Four letters picked without replacement from bxuaxlwwwuwwxwx. Give prob of picking 1 w, 1 a, and 2 b.
0
Calculate prob of picking 1 j and 1 d when two letters picked without replacement from ppjdttdtalapjja.
2/35
Four letters picked without replacement from yyqyqqqyqs. Give prob of picking 3 q and 1 s.
1/21
Four letters picked without replacement from iuuuuuuuuuuuuyuu. What is prob of picking 2 i, 1 u, and 1 y?
0
Two letters picked without replacement from {v: 2, q: 2}. Give prob of picking 1 q and 1 v.
2/3
Calculate prob of picking 4 c when four letters picked without replacement from {c: 7}.
1
Calculate prob of picking 2 g when two letters picked without replacement from {a: 3, y: 1, g: 4}.
3/14
Four letters picked without replacement from tttttttpttppttptttp. What is prob of picking 3 t and 1 p?
455/969
Calculate prob of picking 1 k, 2 x, and 1 z when four letters picked without replacement from zyzxkkxzkzkyxxxykyn.
50/969
Three letters picked without replacement from {i: 9}. What is prob of picking 3 i?
1
What is prob of picking 1 z, 1 q, and 2 p when four letters picked without replacement from {b: 1, p: 5, z: 2, q: 1}?
10/63
What is prob of picking 1 h and 1 d when two letters picked without replacement from dddhheooho?
1/5
Calculate prob of picking 1 t and 2 x when three letters picked without replacement from xttttxtxtx.
3/10
What is prob of picking 2 p and 1 s when three letters picked without replacement from ppjpsjsjsjpppk?
45/364
Calculate prob of picking 4 l when four letters picked without replacement from lililluxmllxpupiupu.
5/1292
Three letters picked without replacement from uukukku. What is prob of picking 3 u?
4/35
What is prob of picking 1 d, 1 t, and 1 y when three letters picked without replacement from tafdy?
1/10
Two letters picked without replacement from {q: 12, e: 1, j: 1}. Give prob of picking 1 q and 1 e.
12/91
What is prob of picking 1 g, 2 d, and 1 c when four letters picked without replacement from {b: 1, h: 2, c: 3, d: 3, g: 1, n: 3}?
9/715
Four letters picked without replacement from {s: 1, z: 4, d: 4, y: 2}. What is prob of picking 2 z, 1 y, and 1 s?
2/55
Calculate prob of picking 1 y and 1 v when two letters picked without replacement from vyxyuyevxvxgxyxygxee.
3/38
Two letters picked without replacement from {z: 7, l: 3, p: 2}. Give prob of picking 2 p.
1/66
Two letters picked without replacement from {d: 6}. What is prob of picking 2 d?
1
Four letters picked without replacement from {v: 2, p: 2, t: 5, r: 3}. Give prob of picking 1 t, 2 r, and 1 p.
2/33
Two letters picked without replacement from {v: 5, u: 5, g: 5, z: 2, t: 3}. What is prob of picking 1 u and 1 v?
5/38
What is prob of picking 2 l, 1 b, and 1 n when four letters picked without replacement from nnrfbll?
2/35
What is prob of picking 2 e and 2 l when four letters picked without replacement from {l: 2, e: 5, g: 8}?
2/273
What is prob of picking 1 n, 1 t, and 1 s when three letters picked without replacement from {t: 2, b: 1, n: 2, e: 1, s: 4}?
2/15
Four letters picked without replacement from {d: 9}. Give prob of picking 4 d.
1
Four letters picked without replacement from bbcfb. Give prob of picking 1 f and 3 b.
1/5
Calculate prob of picking 2 y when two letters picked without replacement from {y: 10, g: 2}.
15/22
Three letters picked without replacement from {g: 2, b: 4, o: 5}. What is prob of picking 2 g and 1 o?
1/33
What is prob of picking 3 i and 1 d when four letters picked without replacement from {i: 6, d: 2}?
4/7
Four letters picked without replacement from lyyffylfyllfyfllllyy. What is prob of picking 4 y?
7/969
Three letters picked without replacement from tfvwtooototofttwowt. What is prob of picking 3 t?
35/969
What is prob of picking 3 a when three letters picked without replacement from waraagapa?
5/42
Two letters picked without replacement from {c: 1, t: 2, r: 2, p: 1}. Give prob of picking 1 c and 1 t.
2/15
Calculate prob of picking 3 v when three letters picked without replacement from vqqqqqqqqqqvqqqvqqqq.
1/1140
Three letters picked without replacement from luuuflflmc. Give prob of picking 1 m and 2 f.
1/120
What is prob of picking 1 w and 3 k when four letters picked without replacement from wwkwkhwhkwwwwwwk?
2/91
Calculate prob of picking 1 w and 3 c when four letters picked without replacement from {w: 7, c: 7}.
35/143
What is prob of picking 1 b and 1 i when two letters picked without replacement from pib?
1/3
Three letters picked without replacement from ewweweewwwwppwwwzy. What is prob of picking 2 w and 1 e?
15/68
Two letters picked without replacement from {w: 6, n: 6, h: 2, l: 3, g: 1}. What is prob of picking 2 l?
1/51
What is prob of picking 2 i when two letters picked without replacement from {c: 1, s: 7, i: 5, a: 3}?
1/12
Two letters picked without replacement from ooooorrrorrrrrooor. What is prob of picking 2 o?
4/17
Calculate prob of picking 2 o when two letters picked without replacement from jqooovqvqqqoooqoqo.
28/153
Calculate prob of picking 1 v and 2 a when three letters picked without replacement from duuvvjavaujvrrujjuuu.
1/285
What is prob of picking 2 z and 1 f when three letters picked without replacement from {z: 4, h: 2, f: 8}?
12/91
Two letters picked without replacement from ugguggggg. What is prob of picking 2 u?
1/36
Calculate prob of picking 1 d and 1 l when two letters picked without replacement from zbudlbkdblbzzbkkbb.
4/153
What is prob of picking 2 p when two letters picked without replacement from xxpvpjjjj?
1/36
Three letters picked without replacement from ryyyyryyyryy. What is prob of picking 3 y?
21/55
Three letters picked without replacement from {a: 3, e: 2, c: 4, q: 6, u: 2}. What is prob of picking 1 u, 1 e, and 1 q?
3/85
Three letters picked without replacement from gmmmmmmivjmkmjmigkmk. Give prob of picking 1 m and 2 j.
1/114
Calculate prob of picking 1 b and 1 v when two letters picked without replacement from bpbvvpbvpbppppv.
16/105
Four letters picked without replacement from {g: 1, n: 1, k: 1, x: 8, w: 3, e: 2}. What is prob of picking 1 x, 1 w, 1 g, and 1 e?
12/455
What is prob of picking 1 s and 1 z when two letters picked without replacement from zzzszzszszss?
35/66
Two letters picked without replacement from hhlhhhhhlhhhh. Give prob of picking 2 l.
1/78
Two letters picked without replacement from ppjpwpjjwppwjjpp. What is prob of picking 1 p and 1 j?
1/3
Four letters picked without replacement from xyyyyyxyceyyyyyceyy. Give prob of picking 2 e, 1 c, and 1 x.
1/969
What is prob of picking 2 q when two letters picked without replacement from {q: 3, s: 8}?
3/55
Four letters picked without replacement from {c: 3, x: 12}. Give prob of picking 3 c and 1 x.
4/455
Four letters picked without replacement from ffkkffkkffffkf. What is prob of picking 4 k?
5/1001
Two letters picked without replacement from foffhfhfffffo. Give prob of picking 1 o and 1 h.
2/39
Calculate prob of picking 4 s when four letters picked without replacement from ssvsssssssvsssvsvs.
1001/3060
What is prob of picking 2 i when two letters picked without replacement from iiei?
1/2
Three letters picked without replacement from {e: 3, r: 15, w: 2}. Give prob of picking 1 e and 2 r.
21/76
Two letters picked without replacement from zaaaaazaazllazs. Give prob of picking 1 l and 1 z.
8/105
Calculate prob of picking 1 h and 1 x when two letters picked without replacement from hddhdhhh | {
"pile_set_name": "DM Mathematics"
} |
*-1?
66
Let s(p) = 5723*p**3 - p**2 + 2*p - 1. Let o be s(1). Let h be 1/(-18)*-102967 - 0. Let n = o - h. Find the common denominator of n and -61/12.
36
Suppose 378 = i + 13*i. Calculate the least common multiple of 6 and i.
54
Let n(a) = 120*a - 2. Let z be n(4). Calculate the common denominator of (-2)/(-6) + z/132 and (-4)/2 + (-81)/144.
176
Let g = -1/226 - -4861/452. Let c(z) = -z + 8. Let q be c(6). Suppose -y + q = -19. What is the common denominator of y and g?
4
Let z(o) = o**2 - 6*o - 10. Let x be z(7). What is the common denominator of (-1 - x) + 315/(-50) and -79/36?
180
Let w(y) = y**3 + 20*y**2 - 24*y - 36. Calculate the least common multiple of 6 and w(-21).
54
Let i be 18/4 + 2/(-4). Suppose 3*q + 4*y = i*q - 12, 3*y = -12. What is the least common multiple of -4*2/q + 20 and 6?
66
Calculate the smallest common multiple of 14 and (-6 - (-202)/8) + (-6)/(-8).
140
Let y be (-4)/10 + 34/10. Suppose -56 = -7*u + y*u. Let b = -2 + 14. What is the lowest common multiple of u and b?
84
Suppose -11*g + 22*g = 308. What is the lowest common multiple of g and 7?
28
Suppose -4*c + 88 = -r, 7*c - 3*c - 88 = 4*r. What is the common denominator of -61/6 and c/8 + -3 + -12?
12
Let i = -1/5103 + -107152/56133. Let c = 12705/4 + -3199. Find the common denominator of c and i.
44
Suppose 0 = -5*p - h + 111, 0 = 3*p - 4*h + 1 - 63. What is the smallest common multiple of 14/4*(-40)/(-7) and p?
220
Let p be (-70)/(-55)*(-9142)/3284. Let v = p + -2/821. What is the common denominator of v and (-5)/(-15) - 368/(-30)?
55
Let o = 265/66 + -90/11. Calculate the common denominator of o and 99/10.
30
Calculate the common denominator of 79/6 and (-1095)/(-216) + 8/36.
24
Let f = 5494 - 11394. Let c be 94270/16 + 2/(-8). Let b = f + c. Calculate the common denominator of 53/6 and b.
24
Suppose -3*x = n + 3 - 8, 5*n + 5 = -5*x. Suppose -3*q - 4*k = -120, x = -k - 0*k. What is the lowest common multiple of q and 2?
44
Find the common denominator of -7 + 4 - (-7)/(-4) and 93/8.
8
Let w be 1 - (1 - 2/(-2)). Let x(s) = 3*s**3 - s**2. Let o be x(-1). What is the smallest common multiple of 10 and (5*w)/(1/o)?
20
Suppose -w - 3 = -2*w. Let o be (3/w)/(1/2). What is the common denominator of (-340)/(-32) + (-1)/o and 71/22?
88
Let t = 322685/127 + -2541. Let x be (1294/(-508))/((-6)/(-22)). Let b = x - t. Calculate the common denominator of b and 19/4.
12
Let y = 1036 - 6343/6. Let d = -21 - y. Find the common denominator of ((-6)/4)/((-15)/31) and d.
30
Let g = -8684 - -121489/14. Calculate the common denominator of 3/14 and g.
14
Let p be 3/((2 - 2) + 1). Suppose -p*z + 5*z - 8 = 0. Suppose y - 100 = -z*y. What is the lowest common multiple of 10 and y?
20
Suppose k - 16 = 4*b - 0, k = -2*b - 2. Find the common denominator of 31/2 and 59/b*1/(-2).
6
Suppose 4*j = -2*g - 10, 4*g - 3*g + 13 = -4*j. Suppose -2*x + 22 = 4*b, g*x - 6*x + 27 = 5*b. What is the lowest common multiple of 18 and (5/4)/(b/48)?
90
Suppose -t - q - 63 = -0*q, t = q - 69. Calculate the least common multiple of -3*(-1 + (-1)/(-3)) and t/(-15) - (-4)/(-10).
4
Suppose 0 = x + x - 42. Let m = x + -12. Calculate the lowest common multiple of 1 and m.
9
Suppose 7*j - 21 = 7. Suppose 0 = 2*m - 2*a - 28, -j*m + a = 2*a - 46. What is the smallest common multiple of m and 6?
12
Let s be ((-42)/((-3)/1))/(-2). Let t = -4 - s. Calculate the least common multiple of 5 and t.
15
Let k = -983/4 - -251. Calculate the common denominator of k and 99/2.
4
Find the common denominator of (-2)/(-6) + (2 - (-55)/(-4)) and -41/24.
24
Calculate the common denominator of 243/21 - (-3 - -7) and (-2)/9 - (-14)/6.
63
Let r be 9/6 + 2/4. Suppose 2*v = -r*v + 952. Calculate the common denominator of -91/16 and 6/3 - v/12.
48
Suppose 40 = 3*p + 5*p. Suppose -39 = -5*k + 11. What is the least common multiple of p and k?
10
Let f = -576017/22 - -26178. Find the common denominator of f and -79/22.
22
Let i = 96 + -87. Calculate the least common multiple of i and 16.
144
What is the common denominator of -85/22 and 26/((-6)/(-4)*160/(-36))?
110
Suppose -b + s = -11, -21 = 2*b + s - 55. What is the smallest common multiple of 5 and b?
15
Suppose 2*p + 138 = -3*o + p, -4*o + 4*p - 200 = 0. What is the common denominator of 40/7 and o?
7
Let l = 44 + -28. Suppose -20 + 0 = -5*d. What is the lowest common multiple of d and l?
16
Calculate the lowest common multiple of 4 and (52/(-8) + 4)*-20.
100
Let p(w) = w**2 - 6*w + 4. Suppose -12 = -4*y + 5*o - o, 4*y - 5*o = 9. What is the smallest common multiple of p(6) and y?
12
Let q be (-3)/8*(9 + 1448). Let h = q + 553. What is the common denominator of (-2)/6*(-30)/(-32) and h?
16
Let m be 40/18 + 10/(-45). Suppose a - 5 = -m*c, -6*c = 3*a - c - 13. Calculate the least common multiple of a*(-2 - -9) + 1 and 5.
40
Suppose -3*w = -5*j + 37, 5*j + 5*w - 6*w = 39. Calculate the least common multiple of j and 4.
8
Let s be (1 - 0 - 0) + 8. Find the common denominator of (-49)/33 - s/27 and 6/(-15) - 9/40.
88
Let t(r) = -11*r + 1. What is the lowest common multiple of t(-1) and 12?
12
Let z be ((-20)/(-8))/5*-1150. Let h = 2277/4 + z. Let j = -167/12 - -17. What is the common denominator of h and j?
12
Calculate the common denominator of (-2 - (-78)/38)*6/(-4) and -151/12.
228
Suppose 8*b - 61 = 11. Calculate the least common multiple of 7 and b.
63
Suppose 4*b - 64 = 2*f, -7 = -b - 0*f + 5*f. Let d = b + -79. What is the common denominator of 41/6 and -2 + 4 - d/6?
6
Let g(t) = -t**2 + 7*t - 6. Let z be g(4). Calculate the common denominator of (39/(-572))/(z/(-116)) and -109/12.
132
Let p = 1833487/194 + -9451. Let i = p + -8847/2134. Calculate the common denominator of i and -65/9.
99
Let d = 155/2 + -81. Find the common denominator of -95/22 and d.
22
What is the least common multiple of ((-4)/12)/((-2)/12) and 9?
18
What is the common denominator of 16/(-40) - (-957)/180 and 55/12?
12
Let a be (-10)/15 - (-93974)/66. Let i = a - 1422. What is the common denominator of i and (34/12)/(5/10) - 2?
33
Let r be (9/12)/(2/8). Suppose 3*h = -0*h + r. Let u = h - 0. What is the least common multiple of u and 7?
7
Suppose -b = -0*b - 14. What is the common denominator of -91/8 and -2 - ((-3)/b)/(-1)?
56
Let b(c) = -c**3 - 6*c**2 + 5. Let d be b(-5). Let k = -12 - d. What is the lowest common multiple of k and 2?
8
Suppose 0 = i + 3*m - 23, m - 96 = -5*i + 5*m. Calculate the smallest common multiple of 5 and i.
20
Let k = 32/21 - -155/7. Calculate the common denominator of k and 69/62.
186
Find the common denominator of 79/24 and ((-840)/40)/((-8)/3).
24
Let p = 15858 - 253823/16. What is the common denominator of -37/28 and p?
112
Suppose -3 = 4*c - 2*v - 9, 4*c - 12 = -4*v. What is the least common multiple of 4 and c?
4
Let t be (24/100)/(16/110). Let z = t - 577/180. Find the common denominator of z and (-1)/(-3)*246/4.
18
Let n = -11841/8 - -1488. What is the common denominator of n and (1/1)/((-2)/23)?
8
Let v(p) = -2*p. Let d(q) = 5*q. Let n(s) = -3*d(s) - 8*v(s). Let f be n(4). Find the common denominator of 43/10 and ((-5)/f - -1) + 0.
20
Let p = -3 - -1. Let r be (1 + -1)/(p - -1). Suppose i - 9 - 1 = r. What is the least common multiple of 14 and i?
70
Suppose -3*w + u = -9, w - 35 = -4*w - 5*u. Let s = w - 2. Suppose -2*g = 2*f - 26, 3*f = -0*g + 4*g + 18. Calculate the least common multiple of s and f.
10
Let k = 20727/3016 + 1/377. What is the common denominator of k and (-4)/64*(-1 + 39)?
8
Suppose 4*r - d + 0*d - 63 = 0, 0 = 3*r - 5*d - 43. What is the least common multiple of 20 and r?
80
Let b(z) = z**2 - 3*z + 1. Let q be b(4). Let v = -6 + 10. Calculate the smallest common multiple of 10/3*(q - 2) and v.
20
Let s = 16 + -5. Let n = s - 8. Suppose -n*d = -20 - 10. What is the smallest common multiple of 9 and d?
90
What is the lowest common multiple of 14 + -2 + (0 - 2) and 4?
20
Let t be 2 - ((-3 - -1) + 2). Calculate the common denominator of (-305)/90 - (-2)/t and -79/26.
234
Let t be (-5 + 2)*10/(-6). Suppose 0 = n + 5, -t*m + 4*n - 120 = -0*m. What is the common denominator of 10/9 and 8/m - 585/(-14)?
18
Let z be ((-1)/877)/(2/12). Let a = z - 53365/19294. What is the common denominator of a and -67/18?
198
Let x be (-1931)/222 - 2/6. Let c = x + -42/37. Let l = -11 | {
"pile_set_name": "DM Mathematics"
} |
2 + 105*y - 1267. Give j(14).
7
Let m(v) = v**3 + 11*v**2 + 57*v + 347. Determine m(-9).
-4
Let r(b) = -21*b - 149. Calculate r(-6).
-23
Let n(l) = l**3 - 5*l**2 + 12*l - 9. What is n(4)?
23
Let v(m) = -7*m**3 + 57*m**2 - 25*m + 110. Determine v(8).
-26
Let q(m) = 33*m + 189. Determine q(-9).
-108
Let w(j) = -j**3 - 27*j**2 - 184*j - 22. Calculate w(-14).
6
Let z(h) = -3*h**2 - 65*h - 183. Calculate z(-18).
15
Let o(a) = -a**2 + 57*a - 165. Calculate o(46).
341
Let m(t) = -3*t**3 - 150*t**2 - 15*t - 760. What is m(-50)?
-10
Let t(g) = -g**3 + 124*g**2 - 160*g + 4542. Calculate t(123).
-9
Let l(o) = -2*o**2 + 10*o - 33. Calculate l(6).
-45
Let p(u) = 6*u**3 + 24*u**2 + 61*u - 7. Determine p(-3).
-136
Let x(v) = 207*v + 33. Determine x(1).
240
Let r(j) = 52*j + 551. Determine r(-12).
-73
Let o(x) = x**3 - 51*x**2 - 165*x + 130. Calculate o(54).
-32
Let j(l) = -l**2 + 58*l + 382. Give j(-6).
-2
Let n(g) = g**3 + 54*g**2 + 3*g + 161. Give n(-54).
-1
Let g(c) = -c**3 - 22*c**2 - 23*c - 52. What is g(-21)?
-10
Let y(w) = -1521*w - 10669. What is y(-7)?
-22
Let t(j) = 2*j**3 - 74*j**2 + j - 44. What is t(37)?
-7
Let t(f) = -15*f**2 + 2*f - 1. Give t(2).
-57
Let b(m) = -m**2 + 66*m - 1079. Determine b(31).
6
Let m(q) = -q**3 - 16*q**2 - 60*q - 1. What is m(-10)?
-1
Let y(o) = o**2 - 17*o + 7. Give y(12).
-53
Let x(i) = 8*i**2 + 72*i - 24. What is x(-10)?
56
Let r(s) = 103*s - 3296. What is r(32)?
0
Let j(l) = -5*l + 60. Determine j(-3).
75
Let d(u) = -32*u + 792. Calculate d(25).
-8
Let k(z) = -3*z**2 - 31*z - 43. Determine k(-11).
-65
Let j(v) = -11*v**3 - 229*v**2 + 46*v + 23. What is j(-21)?
-61
Let x(m) = 28*m + 2790. What is x(-100)?
-10
Let b(q) = 31*q + 39. Determine b(2).
101
Let l(g) = -g - 27. Give l(-35).
8
Let m(w) = -w**3 - 14*w**2 - 50*w - 23. What is m(-6)?
-11
Let g(z) = -4*z**2 + 12*z + 6. Determine g(4).
-10
Let n(x) = 34*x - 159. Give n(5).
11
Let y(z) = 61*z - 423. Calculate y(7).
4
Let i(u) = -8*u**2 + 22*u + 70. Give i(-2).
-6
Let c(w) = -30*w - 10. What is c(-1)?
20
Let p(w) = -w**3 + 37*w**2 - 38*w + 46. Determine p(36).
-26
Let f(z) = -2*z**2 + 25*z + 47. Give f(-2).
-11
Let m(h) = 99*h + 621. Give m(-6).
27
Let r(u) = -2*u**2 - 61*u + 3816. Determine r(31).
3
Let l(p) = -8*p**2 - 109*p - 98. Give l(-13).
-33
Let g(z) = 9*z + 384. Calculate g(-47).
-39
Let g(j) = 25*j**3 - 447*j**2 - 53*j - 30. Determine g(18).
-12
Let c(o) = o**3 + 24*o**2 + 59*o - 43. Calculate c(-21).
41
Let k(z) = -1276*z - 7661. Calculate k(-6).
-5
Let s(r) = 517*r + 2559. Calculate s(-5).
-26
Let f(i) = i**3 - 2*i**2 + 8*i + 18. Give f(-3).
-51
Let h(z) = 149*z - 433. Calculate h(3).
14
Let d(s) = 12*s**2 - 823*s - 321. Calculate d(69).
24
Let r(l) = -1090*l + 21794. Calculate r(20).
-6
Let h(v) = -17*v**3 - 135*v**2 + 201*v + 1549. Determine h(-8).
5
Let c(g) = g**2 + 40*g - 43. What is c(-20)?
-443
Let m(r) = 186*r - 1. Determine m(3).
557
Let c(r) = 13*r**2 + 9*r + 14. Determine c(-1).
18
Let d(b) = -7*b**3 + 9*b**2 - 35*b + 2. Give d(4).
-442
Let u(j) = 10*j**3 - 5*j**2 - 30*j - 24. Calculate u(-4).
-624
Let b(y) = 1417*y - 437854. Calculate b(309).
-1
Let k(x) = -x**2 + 19*x + 60. Determine k(-3).
-6
Let m(s) = -s**3 - 18*s**2 - 18*s - 332. Calculate m(-18).
-8
Let i(a) = -11*a**2 + 6*a + 8. Give i(-2).
-48
Let m(f) = f**3 + 19*f**2 - 3*f + 70. Calculate m(-19).
127
Let d(p) = 159*p - 5397. Determine d(34).
9
Let f(p) = 11*p**2 - 32*p + 30. Give f(1).
9
Let v(w) = 86*w - 1882. Determine v(16).
-506
Let s(y) = -y**3 - 20*y**2 - 97*y - 70. Determine s(-13).
8
Let k(i) = 78*i + 253. Calculate k(-8).
-371
Let k(m) = m**3 - 72*m**2 + 85*m + 3845. What is k(70)?
-5
Let v(d) = -d**3 + 15*d**2 + 47*d - 31. What is v(8)?
793
Let h(u) = 101*u**2 + 611*u + 36. Determine h(-6).
6
Let g(b) = 5*b**2 - 182*b - 58. Give g(37).
53
Let m(x) = -x**2 - 2*x + 3. What is m(-1)?
4
Let n(c) = 259*c - 6736. Calculate n(26).
-2
Let n(f) = -308*f - 2663. What is n(-9)?
109
Let z(n) = -n**3 + 28*n**2 + 6*n - 939. Calculate z(27).
-48
Let j(a) = -32*a + 62. Determine j(2).
-2
Let y(i) = -i**3 + 9*i**2 - 7*i - 30. Give y(5).
35
Let q(r) = -65*r**2 - 7*r - 9. What is q(-2)?
-255
Let s(u) = -64*u - 958. Calculate s(-14).
-62
Let a(o) = -o**2 + 54*o - 216. Determine a(4).
-16
Let s(o) = -o**2 + 100*o - 2197. Calculate s(35).
78
Let k(f) = -f**2 + 35*f - 217. What is k(7)?
-21
Let h(y) = 10*y**3 + 7*y**2 - 18*y + 6. Give h(2).
78
Let g(l) = -l**3 - 7*l**2 + 39*l + 39. What is g(-12)?
291
Let w(a) = 5*a**3 + 2*a**2 - 6*a + 1. What is w(-2)?
-19
Let y(j) = -2*j**2 + 54*j + 2. What is y(27)?
2
Let c(n) = -2*n**2 + 16*n + 34. What is c(10)?
-6
Let c(f) = -2*f**3 - 16*f**2 - 10*f + 14. Give c(-9).
266
Let w(v) = -v**3 - 17*v**2 + 64*v + 104. Determine w(4).
24
Let d(i) = -i**3 + 26*i**2 - 18*i - 717. What is d(24)?
3
Let v(a) = 153*a - 5805. Give v(39).
162
Let k(r) = 2*r**2 - 112*r + 317. Calculate k(3).
-1
Let n(i) = 7*i**2 + 90*i + 77. Determine n(-12).
5
Let o(h) = h**3 + 33*h**2 + 35*h + 85. What is o(-32)?
-11
Let g(y) = y**3 - 3*y**2 - 4*y - 1. What is g(8)?
287
Let d(w) = -w**3 + 30*w**2 - 28*w + 66. Determine d(29).
95
Let z(a) = 693*a - 9699. What is z(14)?
3
Let o(g) = -9*g**2 - 41*g + 336. Determine o(6).
-234
Let k(t) = -392*t**2 - 17*t + 19. Calculate k(1).
-390
Let h(o) = o**2 - 14*o - 55. Calculate h(21).
92
Let l(d) = 21*d**3 + 2836*d**2 + 132*d - 391. Calculate l(-135).
14
Let v(x) = x**3 - 7*x**2 - 10*x + 29. What is v(8)?
13
Let v(y) = -3*y**2 - 42*y + 82. Calculate v(2).
-14
Let k(b) = -b**3 - 137*b**2 + 710*b + 22. Calculate k(-142).
22
Let g(r) = -r**2 - 35*r + 331. What is g(-43)?
-13
Let f(m) = -m**3 + 5*m**2 + 19*m - 53. Calculate f(2).
-3
Let k(s) = -93*s - 3170. Determine k(-33).
-101
Let b(d) = d + 2. Give b(-17).
-15
Let x(y) = -4*y - 22. What is x(-18)?
50
Let u(b) = -b**2 + 93*b - 604. Determine u(7).
-2
Let q(k) = 64*k - 2737. Give q(43).
15
Let c(y) = y**2 + 1044*y + 220502. Determine c(-294).
2
Let a(i) = -i**2 - 2*i + 56. Give a(6).
8
Let y(n) = n**3 - 78*n**2 - 240*n - 413. Calculate y(81).
-170
Let c(v) = 39*v**2 + 434*v - 873. Give c(2).
151
Let d(n) = -45*n**2 - 8*n - 3. What is d(-1)?
-40
Let x(r) = -r**3 + r**2 - 35*r + 366. Calculate x(0).
366
Let i(h) = 30*h + 15. Determine i(-1).
-15
Let m(k) = -500*k + 1640. Give m(4).
-360
Let w(c) = -333*c + 4311. Determine w(13).
-18
Let z(i) = 164*i - 7894. Give z(47).
-186
Let z(v) = -53*v**2 + 11871*v + 234. What is z(224)?
10
Let t(g) = 25*g + 1. Give t(0).
1
Let p(q) = -16*q + 42. Give p(17).
-230
Let f(o) = o**3 + 16*o**2 - 18*o - 405. Determine f(-17).
-388
Let z(b) = b**2 + 63*b + 11. Determine z(-69).
425
Let l(h) = -3*h**2 + 74*h + 47. What is l(23)?
162
Let g(f) = 3*f**2 + 26*f - 596. What is g(-19)?
-7
Let h(l) = -l**3 + 16*l**2 + 79*l - 4. Calculate h(20).
-24
Let a(n) = n**3 + 58*n**2 - 1015*n - 45. Determine a(14).
-143
Let t(a) = 19*a**2 + 122*a - 74. Determine t(-7).
3
Let h(w) = 80*w - 6544. Determine h(79).
-224
Let s(a) = a**3 + 35*a**2 + a + 85. What is s(-35)?
50
Let b(q) = 3*q**2 + 136*q - 2118. Give b(12).
-54
Let g(d) = -3*d**3 - 3*d**2 - 51*d + 112. Determine g(2).
-26
Let d(l) = 353*l**2 + 20481*l + 405. Calculate d(-58).
-1
Let m(s) = -s**3 - 53*s**2 - 632*s - 22. Give m(-18).
14
Let i(m) = 813*m + 4448. Calculate i(-6).
-430
Let b(m) = -39*m - 265. What is b(-7)?
8
Let k(h) = -h**2 - 86*h - 1388. Calculate k(-21).
-23
Let p(i) = -6*i**2 - 680*i + 4047. What is p(-119)?
1
Let b(z) = 2*z**2 + 8*z - 61. Give b(-11).
93
Let f(m) = m**2 + 115*m - 26852. What is f(116)?
-56
Let y(w) = 6*w**2 + 362*w + 1478. Determine y(-4).
126
Let q(y) = -3552*y - 3529. Determine q(-1).
23
Let v(i) = 167*i + 2657. What is v(-16)?
-15
Let y(l) = -l**3 - 25*l**2 - 136*l - 181. What is y(-18)?
-1
Let g(l) = 218*l + 19199. Determine g(-88).
15
Let u(c) = c**2 + 14*c - 45. Give u(14).
347
Let n(z) = -3*z**2 + 128*z - 137. Calculate n(42).
-53
Let p(m) = -11*m + 604. Give p(26).
318
Let x(l) = 28*l**2 + 469*l + 1360. Determine x(-13).
-5
Let d(i) = -2*i**3 + 3*i**2 - 177*i + 353. Determine d(2).
-5
Let z(x) = -27*x + 291. Determine z(10).
21
Let x(m) = -214*m - 7275. Give x(-34).
1
Let d(g) = 3*g - 320. Determine d(53).
-161
Let o(q) = -q**3 - 17*q**2 - 20*q + 75. Give o(-8).
-341
Let c(x) = -91*x + | {
"pile_set_name": "DM Mathematics"
} |
w) = -2*w. What is j(g(z))?
-86*z - 5440
Let r(f) = 1. Let k(l) = -10*l - 26. Let g(u) = -6*k(u) - 156*r(u). Let d(h) = -5*h. Let y(w) = -35*d(w) - 3*g(w). Let v(o) = 8*o**2. What is y(v(n))?
-40*n**2
Let m(t) = -t**2. Let p = -7 - -8. Let u = p + 1. Let f(i) = 7*i**2 - i**2 + 0*i**u + 6*i**2. Calculate f(m(d)).
12*d**4
Let j(w) = 28734 + w - 28734. Suppose -2*a - 3*p = -5*a, 6 = a + 2*p. Let g(k) = 13*k**a - 4*k + 4*k. Determine j(g(z)).
13*z**2
Let s(j) = 6*j. Let w(b) = -5*b. Let f(n) = -2*s(n) - 3*w(n). Let d(x) be the first derivative of x**3 + 46. Give f(d(i)).
9*i**2
Let j(a) = 2*a. Let h(l) = l**2 - 9*l - 16. Let n be h(11). Let m(x) = -4 + n + 2*x**2 - 2. Calculate j(m(s)).
4*s**2
Let c(y) be the third derivative of -y**5/10 - 2*y**2 + 33*y. Let m(w) = -14*w**2. Give m(c(z)).
-504*z**4
Let s(n) = -2*n**2. Let w be (176/20)/2 - (-4)/(-10). Let i(v) = -5*v - v - v - w*v. What is s(i(b))?
-242*b**2
Let b(x) be the first derivative of -x**3/3 + 1. Let i = 102 + -102. Let f(q) = -q + 6*q + i*q - 6*q. Give f(b(t)).
t**2
Let j(d) = 39*d**2 - 1. Let u(n) = 36*n**2. Give j(u(q)).
50544*q**4 - 1
Let o(q) = 20*q. Let c(k) be the second derivative of -2*k**3/3 + 55*k. Calculate c(o(r)).
-80*r
Let v(s) = -3*s**2 + 229*s. Let h(p) = -123*p. Determine h(v(a)).
369*a**2 - 28167*a
Let s(a) = 3*a. Let h(n) = -8611*n**2 + 21*n + 1. Calculate h(s(p)).
-77499*p**2 + 63*p + 1
Let h(w) = -w - 1. Let g(z) = 1. Let b(j) = -g(j) - h(j). Let c(n) = 6*n**2 + 4*n. Let f(a) = -11*a**2 - 7*a. Let t(i) = -7*c(i) - 4*f(i). What is b(t(p))?
2*p**2
Let i(z) = 77*z**2 - 2*z + 451. Let c(d) = -3*d. Calculate i(c(u)).
693*u**2 + 6*u + 451
Let u(b) = 11*b**2. Let h(q) = -3837*q. Give u(h(s)).
161948259*s**2
Let i(j) = -157*j + 244. Let r(f) = -f**2. Determine i(r(p)).
157*p**2 + 244
Let n(k) be the first derivative of k**2 + 35. Let u(f) = -25*f**2 - 1. Calculate n(u(v)).
-50*v**2 - 2
Let y(v) = v**2. Suppose -n = u - 4 + 1, -5*u + 5*n = -5. Let p(x) = -599 + 13*x**u + 599. Give p(y(q)).
13*q**4
Let s(m) = -15*m. Let h(y) = -8461*y**2. Give s(h(p)).
126915*p**2
Let r(m) = 8*m**2. Let h(t) = 3448*t. Calculate r(h(a)).
95109632*a**2
Let s(b) be the first derivative of 1055*b**2 - 764. Let m(i) = 2*i. Give m(s(u)).
4220*u
Let i(l) = 35*l**2. Let z(v) = 3*v**2 - 31*v**2 + 10*v**2 + 14*v**2. Give z(i(g)).
-4900*g**4
Let y(a) = -61*a**2 - 6*a. Let k(f) = -60*f**2 - 3*f. Let d(j) = 6*k(j) - 5*y(j). Let b(l) = -2*l**2. Determine d(b(t)).
-220*t**4 - 24*t**2
Let u(o) be the third derivative of 5*o**4/3 - 340*o**2. Let h(b) = 5*b**2. Calculate u(h(v)).
200*v**2
Let l(g) = -1743*g. Let n(m) = -47*m**2 + 2. Calculate l(n(o)).
81921*o**2 - 3486
Let y(l) = -389*l + 196*l + 175*l. Let v(p) = -p**2. What is y(v(j))?
18*j**2
Let c(k) = k. Let h(y) be the third derivative of y**7/252 + 3*y**4/8 + 5*y**2. Let b(u) be the second derivative of h(u). Give b(c(m)).
10*m**2
Let g(d) = -d - 346. Let k(a) = 825*a**2 - 1. Give g(k(i)).
-825*i**2 - 345
Let a(h) = -176*h. Let l(v) = 1099*v**2. Calculate l(a(p)).
34042624*p**2
Let g(r) = -9*r**2 + 0*r**2 - r**2. Let u(f) = 234533 - f - 234533. What is u(g(b))?
10*b**2
Let p(j) = j - 1. Let d(s) = 3*s**2 - s + 1. Let n(y) = d(y) + p(y). Let g(h) = -5*h**2. Calculate n(g(l)).
75*l**4
Let p(w) = -7*w. Let a(j) = 2*j - 3908. Give a(p(r)).
-14*r - 3908
Let u(j) = 2*j**2. Let w(y) = -9*y + 5189. Give u(w(k)).
162*k**2 - 186804*k + 53851442
Suppose 0*z = -3*z + 3. Let d be 5 + 3 + (0 - z). Let b(x) = -x - 3*x + d*x. Let t(a) = 2*a**2. Give b(t(p)).
6*p**2
Let z(a) = a**2. Let d(t) = 4*t**2 - 3*t. Let k(g) be the third derivative of 3*g**5/20 - 7*g**4/24 - 4*g**2. Let r(c) = -14*d(c) + 6*k(c). What is r(z(p))?
-2*p**4
Let q(v) = v**2 - 6*v**2 + 0*v**2 - 7*v. Let u(b) = -2*b**2 + 349 - 349. Give u(q(i)).
-50*i**4 - 140*i**3 - 98*i**2
Let m(p) = -15*p**2. Let q(j) = 32*j - 70. Let s(v) = 2*v - 5. Let z(y) = -4*q(y) + 56*s(y). Determine m(z(h)).
-3840*h**2
Let v(x) be the second derivative of 2*x**3/3 + 313*x - 2. Let l(d) be the second derivative of -2*d**4/3 - 2*d. Give l(v(k)).
-128*k**2
Let k(h) = -2*h**2 + 317. Let q(j) = -267*j**2. Calculate k(q(b)).
-142578*b**4 + 317
Let n(w) = -w**2. Let y(t) = -7373 + 3686 + 3684 + 6*t. Give y(n(l)).
-6*l**2 - 3
Let u(j) = -4*j. Let f(l) = -111299*l**2 + 2*l - 2. Determine u(f(c)).
445196*c**2 - 8*c + 8
Let f(y) be the first derivative of 2*y**2 - 348. Let p(k) = 90*k**2. Determine p(f(g)).
1440*g**2
Let u(s) = -2*s**2 - 35 - 25 + 69. Let a(i) = i. Give u(a(d)).
-2*d**2 + 9
Let j(k) = 4*k**2 - 5*k + 79. Let b(m) = 3*m**2 - 4*m + 79. Let l(r) = -5*b(r) + 4*j(r). Let u(t) = 6*t**2. Determine l(u(d)).
36*d**4 - 79
Let p(b) = -b. Let w(f) = 955*f - 5. Calculate w(p(u)).
-955*u - 5
Let o(s) = -2*s. Let y(m) = -9*m**2 - 77. Let b(q) = -5*q**2 - 38. Let f(n) = 7*b(n) - 3*y(n). Let h(l) be the first derivative of f(l). Give o(h(a)).
32*a
Let p(s) = -2*s**2. Let x(w) = 8 + 26 - 34 - 139*w - 44*w. Give p(x(a)).
-66978*a**2
Let j(q) = -q**2 - q. Let g(r) be the first derivative of -16*r**3/3 - 10*r**2 - 15. Let p(b) = 2*g(b) - 40*j(b). Let k(n) = 9*n**2. Calculate k(p(l)).
576*l**4
Let r(b) be the second derivative of -b**3/2 - 32*b. Let f(q) = 4*q + 7*q - 4*q. Let t(y) = 2*f(y) + 5*r(y). Let a(m) = -6*m**2. Determine t(a(k)).
6*k**2
Let b(d) = 21*d. Let t(z) = -4*z. Let o(r) = r. Let j(k) = -3*o(k) - t(k). Let u(n) = -b(n) + 14*j(n). Let x(l) = -l**2. Give u(x(q)).
7*q**2
Let j(q) = 2*q. Let p(d) = -198 - 2*d + 478 - 480. Calculate j(p(m)).
-4*m - 400
Let n(f) be the third derivative of f**5/30 + 192*f**2. Let l(q) = -197*q - 1. Calculate n(l(o)).
77618*o**2 + 788*o + 2
Let k(f) = -143*f - 54. Let o(s) = -s + 45. Give k(o(y)).
143*y - 6489
Let j(q) be the third derivative of -q**4/24 + 298*q**2. Let f(y) = 344*y**2. Determine j(f(l)).
-344*l**2
Let o(l) = 8*l. Let s(w) = -362*w. What is s(o(z))?
-2896*z
Let d(o) = 2505 - 2505 - 2*o. Let j(y) = y**2 + 170. What is d(j(b))?
-2*b**2 - 340
Let r(l) be the second derivative of -l**4/12 + 7*l**2/2 - l. Let g(m) be the first derivative of r(m). Let z(s) = -6*s. Determine g(z(v)).
12*v
Let x(d) = 7*d. Let g(c) = 20*c + 3*c - 14*c. What is g(x(v))?
63*v
Let r(v) = 26*v**2 + 17. Let t(n) = -7*n**2 - 12. Determine r(t(f)).
1274*f**4 + 4368*f**2 + 3761
Let r(f) = 0*f - 6 + f + 0*f. Let k(z) be the first derivative of -15*z**2/2 + 85*z + 3. Let n(w) = 6*k(w) + 85*r(w). Let g(o) = 2*o**2. Determine g(n(m)).
50*m**2
Let n(w) = -11*w**2. Let z(x) = 10696*x. Determine n(z(m)).
-1258448576*m**2
Let u(y) = -2*y**2. Let s be 6 - ((-6)/12 + 3/(-6)). Let j(w) = -4*w + 7. Let a(b) = -b + 2. Let h(m) = s*a(m) - 2*j(m). What is h(u(k))?
-2*k**2
Let r(h) be the second derivative of h**4/6 + h - 265. Let d(o) = -o + 2. Let n be d(-7). Let u(p) = n*p**2 + 2 - 2. Determine u(r(l)).
36*l**4
Let p(u) = -u. Let n be (-5)/(15/(-12)) - 4. Let k(c) be the second derivative of 11*c - 11/6*c**3 + 0 + n*c**2. Determine p(k(a)).
11*a
Let r(y) be the second derivative of -y**3/3 - 2*y - 11. Let m(u) = -16*u**2. What is m(r(n))?
-64*n**2
Let j(b) be the third derivative of -1/30*b**5 + 0*b**4 + 0*b**3 + 0 + 0*b + 18*b**2. Let l(a) = -a**2. Calculate j(l(z)).
-2*z**4
Let b(i) = -371*i**2 + i + 17. Let r(j) = 7*j**2. What is b(r(s))?
-18179*s**4 + 7*s**2 + 17
Let f(p) = 2*p + 614. Let b(w) = -80*w. Determine b(f(u)).
-160*u - 49120
Suppose 5*s + 72 = 9*s. Let b(y) = -13 + s - 5 - y**2. Let f(t) = 9*t**2. Determine b(f(p)).
-81*p**4
Let a(i) = 5724*i. Let d(z) = 11*z + 3. Determine d(a(g)).
62964*g + 3
Let h(n) = 37298*n**2. Let c(b) = -9*b. Determine c(h(t)).
-335682*t**2
Let z(y) = 3 + 3 - 11*y + 2 - 4. Let f(k) = 210*k - 77. Let j(d) = 4*f(d) + 77*z(d). Let g(b) = -b**2. Calculate g(j(x)).
-49*x**2
Let g(t) = -15*t - 305. Let x(y) = -y. Calculate x(g(n)).
15*n + 305
Let l(b) = 10883 - 10883 - 2*b. Let x(r) be the second derivative of -8*r**3/3 + r. Determine x(l(d)).
32*d
Let r(y) be the first derivative of y**2/2 - 1. Let x(i) = -634*i + 633*i - 3 + 3. Determine x(r(c)).
-c
Let r(g) = g. Let l = 7 - 5. Suppose 3 = l*f - 3. Let n(v) = -3*v**2 + 4*v**2 + v**2 - f*v**2. Give r(n(x)).
-x**2
Suppose 4*l - 3*q + q = 122, 3*l = 4*q + 104. Let o(d) = -2 + 27*d + 2 - l*d. Let g(n) = 5*n - n - 3*n. Determine o(g(z)).
-z
Let | {
"pile_set_name": "DM Mathematics"
} |
2, -4*u - 3*g = -12. Let k(v) = v - 2. Let y be k(u). Put 0.4, 2, y in descending order.
2, y, 0.4
Let b(n) = -n**3 - 5*n**2 + 8*n + 7. Let r be b(-6). Sort -1/3, -1, r.
r, -1, -1/3
Let p = -1.3 - -0.5. Let b = p + -3.2. Let w = b + 4.5. Sort w, 2/5, -4 in descending order.
w, 2/5, -4
Suppose 3*f = -176 + 167. Put 1, -4, -2, f in ascending order.
-4, f, -2, 1
Suppose -2*h = 2*p + 6, h - 3*p = -1 - 10. Let j = 8 + -11. Suppose 2*b - 6 = 4. Sort h, j, b in descending order.
b, j, h
Let k = -14 + 15. Sort -5, -1, k in ascending order.
-5, -1, k
Let z be -2*(-1 - 14/4). Suppose -z = -5*k + 2*k. Suppose -12 = -k*s - 2*f, 4*s + 2*f - 20 = -2*f. Sort s, 5, -1 in increasing order.
-1, s, 5
Let z = -5 + 9. Suppose 0 = p + 2*q - 3, -4*p + 5*q + z = 5. Let a = -0.3 + -0.2. Sort -0.4, a, p in ascending order.
a, -0.4, p
Let b(u) = 4*u**3 - 4*u**2 + 3*u - 1. Let t(q) = 5*q**3 - 5*q**2 + 4*q - 2. Let n(j) = 4*b(j) - 3*t(j). Let f be n(0). Put f, 5/4, 3 in decreasing order.
3, f, 5/4
Let b be 1*-4 + -1*70/(-18). Sort -0.1, b, -1, -2/9 in increasing order.
-1, -2/9, b, -0.1
Let w(k) = -k + 2. Let b be w(-8). Suppose -c + b = 4*c. Let j = -2 + 2. Put j, c, 1 in decreasing order.
c, 1, j
Let d = 1 + -11. Let o be 56/(-105) - 2/d. Sort o, 0.4, -3 in decreasing order.
0.4, o, -3
Suppose 0 = -2*z - 3*z + 30. Let u(c) = -c**3 + 5*c**2 + 10*c - 8. Let d be u(z). Suppose 4 = -h - 2*t - 0*t, 4*t + d = 0. Sort -4, h, -2/11.
-4, -2/11, h
Let z = 0.5 - -0.1. Let v = z + -0.1. Sort 3, v, 0.
0, v, 3
Let g be (-9)/6 + (-2)/4 + 0. Suppose b + 1 = 2. Sort g, -0.1, b.
g, -0.1, b
Let z = -1027/7 - -147. Put z, 3/5, 0 in descending order.
3/5, z, 0
Suppose 2*f - 3*f + 2*b + 6 = 0, -4*f + b + 10 = 0. Put -6, -2, f, 3 in decreasing order.
3, f, -2, -6
Let d(n) = -n**3 - 3*n**2 + 4*n + 5. Let w be d(-4). Suppose 3*m - w*x + 11 = 7*m, x - 6 = 3*m. Sort m, 4, 5 in descending order.
5, 4, m
Let d = -5 - -10. Suppose z - 6 = -s - s, -d*s = 3*z - 16. Put s, -2, -1 in descending order.
s, -1, -2
Let s = 24 - 10. Let j = s - 14.4. Let n = 0.4 - 0.2. Put n, 2, j in decreasing order.
2, n, j
Suppose 0*k - k = 2. Let d(g) = -2*g + 7. Let j be d(5). Sort 0, k, j in decreasing order.
0, k, j
Suppose 4*p = 2*l - 10, -5*p + 21 = 4*l + 66. Sort 3, l, -3/2, 0.4 in descending order.
3, 0.4, -3/2, l
Suppose 2*f = -7*b + 2*b - 40, 32 = -4*b + f. Let a(l) = l + 9. Let t be a(b). Put t, -1, 5 in ascending order.
-1, t, 5
Suppose 3 = -5*q + 2*q. Sort q, 32, 3, -5 in increasing order.
-5, q, 3, 32
Let f = 5 + -2. Let j(w) = w**3 - 5*w**2 + 7*w - 4. Let c be j(4). Let q be (-2)/c - (-3)/(-84). Put 2/5, q, f in ascending order.
q, 2/5, f
Let w = -2.03 - -0.03. Let h = w + 6. Let n = 3.9 - h. Put n, -5, 0.3 in decreasing order.
0.3, n, -5
Let n = -1.4 - -7. Let c = 0.6 - n. Put c, -3, -4 in decreasing order.
-3, -4, c
Let g = 0 + -0.5. Let r = -36 - -39.6. Let w = r - 0.6. Sort -0.1, w, g in descending order.
w, -0.1, g
Let k be ((-3)/2)/((-6)/12). Sort 1, 8, k in descending order.
8, k, 1
Let n be 1/4 - (2 - 2). Suppose 0 = -4*g + 2*m + 6, m = -g - 9 + 3. Let y be (2 + g)/(-9 - -5). Sort y, -3, n in ascending order.
-3, y, n
Suppose -1 = -4*u + 3. Let p = -1 - -1.4. Let l = p - 0.5. Sort 2/5, l, u in descending order.
u, 2/5, l
Let h = -482/3 + 159. Let u(o) = -2*o**2 - 22*o - 23. Let f be u(-10). Put h, f, 5 in increasing order.
f, h, 5
Let f = -1 - 1. Let d be 0/f - -2 - 6. Suppose 0*x - 24 = -6*x. Put x, 0, d in increasing order.
d, 0, x
Suppose h - 5*h = -16. Let y be (-38)/(-10) - (-2)/10. Suppose 2*v - x = -0 - 6, y*v - 3*x + 10 = 0. Sort v, 5, h.
v, h, 5
Let w = -1.79 + 1.99. Suppose -3*h = 6, 2*m - h = 4*m. Sort m, w, -0.5 in decreasing order.
m, w, -0.5
Let b = 17 + -15.7. Let j = b + 14.7. Let t = j + -11. Sort 0.1, t, 1 in decreasing order.
t, 1, 0.1
Let s(g) = -g**3 - 11. Let x be s(0). Let c = 8 + x. Sort c, -0.2, 3/7 in increasing order.
c, -0.2, 3/7
Let j = -64 + 66. Sort 1/11, j, -1.
-1, 1/11, j
Let c = 16 - 11. Suppose 2*k + 5 + 3 = c*b, 7 = -3*k + 5*b. Sort 3, k, 2.
k, 2, 3
Let x = 8 - 5. Let u(j) = 4*j**2 - 5*j**x - 4*j + 3*j**3 + j**3 + 3. Let y be u(2). Put y, -0.1, -5 in increasing order.
-5, -0.1, y
Let r be 4/(-10) - 405/(-75). Let j be 6/(-3)*(-1)/r. Let t = -11 - -7. Put j, -1, t in descending order.
j, -1, t
Let a(f) = -f**2 - 5*f. Let o be a(-4). Suppose -3*l - 2 = -4*l. Put 3, l, o in increasing order.
l, 3, o
Let c = 252355/5098 - 2/2549. Let h = -48 + c. Let f = 3.3 + -3. Put f, h, -2/11 in increasing order.
-2/11, f, h
Let c be (-8)/12 - 4/(-6). Put c, 4, 5 in decreasing order.
5, 4, c
Let a be 2/(-1*2) - -4. Let f = -2 + 4. Suppose -3*o + f = -4*c, -2*o - 2*c = o - 8. Sort a, -4, o.
-4, o, a
Let i = -0.05 + 0.55. Sort -3, 0.2, i, 3/4 in decreasing order.
3/4, i, 0.2, -3
Let l be ((-8)/(-4) + -35)*1. Let d be (-6)/l + (-276)/66. Sort -5, d, -2.
-5, d, -2
Let b = 63/8 - 8. Sort 5, b, 1 in decreasing order.
5, 1, b
Let c = -4 - 4. Let r = 0 + c. Let t = 7 + r. Put t, -3, -5 in decreasing order.
t, -3, -5
Let o(n) = -n**3 + 9*n**2 + 10*n + 12. Let x be o(10). Let t = x + -7. Suppose 6*v = v - 10. Sort v, -4, t.
-4, v, t
Suppose 5 = 8*g - 27. Put g, 0, 5 in decreasing order.
5, g, 0
Suppose -3*g + 3*k = -2*g - 14, 3*g + 2*k = 9. Sort g, 0.5, 0.11.
0.11, 0.5, g
Let f = -2 + 3. Let a = 1111/7 - 159. Let d = 4 - 4.3. Put d, f, a in descending order.
f, a, d
Let k be 3/(-22) + (-1 - 3/(-2)). Sort 3, k, -3.
-3, k, 3
Let l(x) = x**3 - 2*x**2 + 2*x + 3. Let n be l(-1). Put -0.4, n, 2 in decreasing order.
2, -0.4, n
Let l = -2 - -2. Suppose 2*x - 5*k - 8 = l, 3*k = -x - k + 4. Suppose 5*z - 29 = 2*s, -s + 9 = 4*z - 9. Put x, z, 0 in decreasing order.
z, x, 0
Let j = 10 + -12. Suppose -5 = 4*k + z, -5*z - 25 + 0 = -2*k. Suppose 0 = -5*b + 2*l - 3, 0*b = 5*b - l + 4. Sort j, k, b in decreasing order.
k, b, j
Let f be (-172)/6 + (-20)/15. Sort -1, -3, f in increasing order.
f, -3, -1
Let c = 17.1 + -17. Sort c, -3, -5.
-5, -3, c
Suppose 3*s + 3 = 9. Let f(w) = -s - 1 - w - w. Let z be f(-3). Sort z, -1, -3 in decreasing order.
z, -1, -3
Let z be (-2)/(2 - 1) + 8. Suppose -5*v - 52 = 5*d - 17, -3*d = -2*v + z. Put -3, d, -1 in ascending order.
d, -3, -1
Let z = 5 + -3. Let s = z - 2.3. Let o(i) = i**2 + 3*i - 4. Let h be o(-3). Put -2/15, s, h in descending order.
-2/15, s, h
Let n = -35.1 + 35. Put n, -1, 1, -0.3 in decreasing order.
1, n, -0.3, -1
Let o = -0.6 + 0.2. Let x = 0.6 - 0.8. Suppose 0 = -0*n - 3*n + r - 8, -r = 5*n. Sort o, n, x in ascending order.
n, o, x
Let t be ((-1)/(-2))/1*(5 + -5). Sort 5, t, -2, -5.
-5, -2, t, 5
Suppose 2*s = -2*h - h - 8, 2*h = -2*s - 6. Suppose 5*n + 8 = -2*o - 23, 0 = o - 5*n - 22. Put 3, o, s in decreasing order.
3, s, o
Let o be 10/(-42) - 3/9. Sort -2, o, 14, 1 in ascending order.
-2, o, 1, 14
Suppose 0 = -6*v + 8 + 16. Sort 0.5, v, -1.4 in ascending order.
-1.4, 0.5, v
Let r = -2 - -2. Let i be ((-2)/(-6))/((-3)/18). Let k be i*(70/(-4))/(-7). Put k, 2, r in descending order.
2, r, k
Let v = 0.67 - -0.03. Let p = -1 + v. Let t be (-2)/(-14) - (603/252 - 3). Sort t, p, 0 in increasing order.
p, 0, t
Suppose 0*m - 10 = -5*m. Suppose 3*d + 12 = 0, -4 = 2*z + m*d + 2. Let h be (-2)/(-3) - (-10)/(-6). Sort z, h, 3 in decreasing order.
3, z, h
Let w(b) be the second derivative of b**5/20 + b**4/4 - 11*b**3/6 - b**2 - b. Let r be w(-5). Sort 2, r, 0 in descending order.
r, 2, 0
Suppose 5*p = 5 + 5. Suppose g + j = 2*j + 3, -p*g + 8 = -j. Let h = 6.69 - 2.69. Put g, 1/4, h in decreasing order.
g, h, 1/4
Suppose -5*w - 19 = -0*w + 3*a, 0 = -w + 3*a - 11. Put -1, 4, w, 6 in descending order.
6, 4, -1, w
Let y = 11 + -12. Let w = y - 0. Put 4, 1, w in decreasing order.
4, 1, w
Suppose -n = -5*s - 2*n + 21, 0 = -5*s - 3*n + 13. Let f(x) = x**3 - 5*x**2 + x - 6. Let l be f(s). Sort 2, l, -3 in decreasing order.
2, l, -3
Let b be 154/(-231) - 1/(3/(-35)). Let c(u) = -u**3 - 2*u**2 + u - 4. Let w be c(-3). Sort 0, b, w.
0, w, b
Let s be (-8)/18*(-1)/2. Sort 1, -4, -3, s in decreasing order.
1, s, -3, -4
Suppose 4*g + 2*m = 9*g - 6, 4*g + 4*m + 12 = 0. Suppose 3*f + 4*y = f - 20, -f - 4*y - 18 = g. Let a = 0.7 + -1. Put -1/4, a, f in descending order.
-1/4, a, f
Suppose -2*q + 2 = -q. Put -1, q, 2/21, 0.3 in ascending order.
-1, 2/21, 0.3, q
Let i(t) = -t + | {
"pile_set_name": "DM Mathematics"
} |
-1946, -28, 0, 1, 3, 4, 10
Put -5, 0.2, -27471, -4, 3/32 in descending order.
0.2, 3/32, -4, -5, -27471
Sort 2/31, -107, 2, 23/27 in descending order.
2, 23/27, 2/31, -107
Put 3123517, 4, -1 in descending order.
3123517, 4, -1
Put -574, 5, 3, 44961 in descending order.
44961, 5, 3, -574
Put 3, -4, 320, 0.1, 0.8, 36.88 in descending order.
320, 36.88, 3, 0.8, 0.1, -4
Sort -4, 328365, 0, 3.
-4, 0, 3, 328365
Sort 0.4, 1, 10, 5, 0.71, 251.
0.4, 0.71, 1, 5, 10, 251
Sort -117, -2/5, 4, -0.2 in decreasing order.
4, -0.2, -2/5, -117
Put -17345, 3, -570 in decreasing order.
3, -570, -17345
Put -6783, 12/227, -5 in ascending order.
-6783, -5, 12/227
Sort 21, -31, 55345 in increasing order.
-31, 21, 55345
Sort -3, 0.6, 17.0091, -4/5, -2, 0.
-3, -2, -4/5, 0, 0.6, 17.0091
Sort 0.2, -13471, -3361 in increasing order.
-13471, -3361, 0.2
Put 5, -4, 269, -9, -7, 0, -3 in descending order.
269, 5, 0, -3, -4, -7, -9
Sort -72, -4, -51, -3, 5, 11 in ascending order.
-72, -51, -4, -3, 5, 11
Sort 2, 5, 21839, 21, 3 in ascending order.
2, 3, 5, 21, 21839
Put 0.2, 0, 423/11, -2, 4, -0.1 in decreasing order.
423/11, 4, 0.2, 0, -0.1, -2
Sort 0.5, -5, -48/17, 0.4, 36, 88/5 in ascending order.
-5, -48/17, 0.4, 0.5, 88/5, 36
Put 1, 12, 5, -1787, 2 in ascending order.
-1787, 1, 2, 5, 12
Put 85, -2/5, -11, 0, 1/112, -4 in ascending order.
-11, -4, -2/5, 0, 1/112, 85
Put 16, 1/4, -34, 3, -2, 0.1, -0.4 in decreasing order.
16, 3, 1/4, 0.1, -0.4, -2, -34
Put -96, 385, -57, 7 in ascending order.
-96, -57, 7, 385
Sort 1.7, -4, 4/5, -2, 2, 0, 3/7 in descending order.
2, 1.7, 4/5, 3/7, 0, -2, -4
Put 451, -0.19, 6, 1, 0.1 in increasing order.
-0.19, 0.1, 1, 6, 451
Sort -46, -24/5, -3/4, 2117.
-46, -24/5, -3/4, 2117
Put -30, 7, -3, 192, 3 in descending order.
192, 7, 3, -3, -30
Put -521479, -8, 1 in descending order.
1, -8, -521479
Sort -14652, 4.9, 3, 0.5.
-14652, 0.5, 3, 4.9
Put 0.3, 15, -0.1, -1, 1/9, -0.3 in increasing order.
-1, -0.3, -0.1, 1/9, 0.3, 15
Put -3, -11, -35, 0, 3, -553 in ascending order.
-553, -35, -11, -3, 0, 3
Sort 3, 2/7, 3/8, 1, 5, 857/10 in decreasing order.
857/10, 5, 3, 1, 3/8, 2/7
Put 241, -16, -374 in descending order.
241, -16, -374
Put -67, 2, -1, 3, -410, 0 in descending order.
3, 2, 0, -1, -67, -410
Sort -655436, -5, -13, -4, 4 in decreasing order.
4, -4, -5, -13, -655436
Put 3, 9777281, 1, 4 in descending order.
9777281, 4, 3, 1
Put 3, 1701, -6 in ascending order.
-6, 3, 1701
Sort 2, 2513.656, -2/7 in descending order.
2513.656, 2, -2/7
Sort -2/5, 5/6, 1/4, -131536 in increasing order.
-131536, -2/5, 1/4, 5/6
Put -18527349, 2, 6 in descending order.
6, 2, -18527349
Put 14, 2, 1, 47, 6 in descending order.
47, 14, 6, 2, 1
Put -478, 1099, -3/20 in decreasing order.
1099, -3/20, -478
Sort 0.5, -0.1, -1/2, -63, 4/353 in ascending order.
-63, -1/2, -0.1, 4/353, 0.5
Put 5, -5, 15/7, 7, -0.4, 20832.3 in descending order.
20832.3, 7, 5, 15/7, -0.4, -5
Sort -3/5, 13, -41301, 0.01 in ascending order.
-41301, -3/5, 0.01, 13
Put 139, -25, 15, -6 in decreasing order.
139, 15, -6, -25
Put 0, -18, -6, -10, 4, -1581, 1 in decreasing order.
4, 1, 0, -6, -10, -18, -1581
Sort 4, -272, -5, 0, 5, 4227 in descending order.
4227, 5, 4, 0, -5, -272
Put 4, -4, -225614 in decreasing order.
4, -4, -225614
Sort -30, -1, 2, 5162, -2, 3 in descending order.
5162, 3, 2, -1, -2, -30
Sort 9.612, 0, 0.02331 in ascending order.
0, 0.02331, 9.612
Sort 8, 4, 16, 12 in descending order.
16, 12, 8, 4
Put -0.3, -14, -2780010, 0.1 in decreasing order.
0.1, -0.3, -14, -2780010
Put -3, -1, 82, -5, -30, 4, 57 in increasing order.
-30, -5, -3, -1, 4, 57, 82
Sort 0, 0.3, 7/8, -2/5, 8, -62, -1 in decreasing order.
8, 7/8, 0.3, 0, -2/5, -1, -62
Sort 2705, -56, -404, -4 in decreasing order.
2705, -4, -56, -404
Sort -422, 5, -1066, 1, -3 in descending order.
5, 1, -3, -422, -1066
Sort 0, -5, 29335350 in descending order.
29335350, 0, -5
Put 1/4, 0, -2, -5, 124, 3, 2 in descending order.
124, 3, 2, 1/4, 0, -2, -5
Sort 25928, -5, 2, -30.
-30, -5, 2, 25928
Sort 0.54, 50, 8, 2, 2/9, 6, 5.
2/9, 0.54, 2, 5, 6, 8, 50
Sort -1, -3, 3, -2322, 149, 4 in descending order.
149, 4, 3, -1, -3, -2322
Put 41, -620, -5, 15, -2, -10, 0 in decreasing order.
41, 15, 0, -2, -5, -10, -620
Put 0.06, -29.11077, -4 in decreasing order.
0.06, -4, -29.11077
Put 1762960, -3, 13 in decreasing order.
1762960, 13, -3
Put -1, -145, -3, 15338 in decreasing order.
15338, -1, -3, -145
Sort -153, 3, 11/4, 4, -119/6 in ascending order.
-153, -119/6, 11/4, 3, 4
Sort -3, -2, 2, 19, -212, -1 in decreasing order.
19, 2, -1, -2, -3, -212
Sort -4, 29, -1, -2, 16430, 0, 5 in decreasing order.
16430, 29, 5, 0, -1, -2, -4
Put 0, -6389787, 19 in decreasing order.
19, 0, -6389787
Put -5, 3, -228349 in ascending order.
-228349, -5, 3
Put -0.1, 0.3, 5, 25536 in increasing order.
-0.1, 0.3, 5, 25536
Sort 0.3, -1442812, -2/7.
-1442812, -2/7, 0.3
Sort 13, 1, -5, -124, -10, -7, -3.
-124, -10, -7, -5, -3, 1, 13
Put 4, -2, 786, 9, 124, 0 in ascending order.
-2, 0, 4, 9, 124, 786
Sort -1, -5, -6306, 10, 1.
-6306, -5, -1, 1, 10
Sort -5, 9, 788322 in increasing order.
-5, 9, 788322
Sort 328456, 2, 3, 14, -4.
-4, 2, 3, 14, 328456
Sort 1270, 0.011, -1020, -2 in decreasing order.
1270, 0.011, -2, -1020
Sort 5280, -2, 1.02.
-2, 1.02, 5280
Sort -21, -4/7, 53, -4, 4893 in descending order.
4893, 53, -4/7, -4, -21
Sort 2/3, 792, 2/157, 1 in increasing order.
2/157, 2/3, 1, 792
Sort 4355, 289, 263 in descending order.
4355, 289, 263
Sort -0.0586, -9, 1/208 in decreasing order.
1/208, -0.0586, -9
Sort 3, 6, -4, -3, -8, 4, -11.
-11, -8, -4, -3, 3, 4, 6
Put 319, 2, -10, -133, 4 in ascending order.
-133, -10, 2, 4, 319
Sort 5, 83406, -3 in decreasing order.
83406, 5, -3
Put -1/13, 3, 2, 3/256, -496 in descending order.
3, 2, 3/256, -1/13, -496
Sort -1.2, 24/11, -2/3, 0, -2, 0.1.
-2, -1.2, -2/3, 0, 0.1, 24/11
Sort -27, 495, -1, -2, -16, 0 in decreasing order.
495, 0, -1, -2, -16, -27
Sort -56, -8474, -52.
-8474, -56, -52
Sort -3, -791, -4, 32, 3 in increasing order.
-791, -4, -3, 3, 32
Sort 5, -2, -24, -76525 in decreasing order.
5, -2, -24, -76525
Sort 2, -2, 1678435, 5 in ascending order.
-2, 2, 5, 1678435
Put 61, 1/3, -2878, -1/6 in increasing order.
-2878, -1/6, 1/3, 61
Sort 104, 2/9, 3, -15, 3/2, -0.5.
-15, -0.5, 2/9, 3/2, 3, 104
Sort -114, 284, -1909 in decreasing order.
284, -114, -1909
Put -14, -0.2, 2712420 in ascending order.
-14, -0.2, 2712420
Sort -11, -1, 2, -3, 547, 422 in ascending order.
-11, -3, -1, 2, 422, 547
Put 0, -6, -55, -512, -22 in decreasing order.
0, -6, -22, -55, -512
Sort -1941, -1, -49, 1 in increasing order.
-1941, -49, -1, 1
Put -24/155, -61/13, 3/7 in descending order.
3/7, -24/155, -61/13
Sort 3, -95, 1, 189, 28, 2.
-95, 1, 2, 3, 28, 189
Sort 3/7, 4849, -0.4, -911 in decreasing order.
4849, 3/7, -0.4, -911
Sort -185, 5, 4, -472 in decreasing order.
5, 4, -185, -472
Put 5, 4, 135, -5, -29, -2, 246 in ascending order.
-29, -5, -2, 4, 5, 135, 246
Put 3, -22, -149, 0.5, -3.9, -1/5 in descending order.
3, 0.5, -1/5, -3.9, -22, -149
Put -233, -2, 4, -3/19, 1, 2 in decreasing order.
4, 2, 1, -3/19, -2, -233
Sort -3, -659, -68, -15, -1/4 in decreasing order.
-1/4, -3, -15, -68, -659
Sort -16/641, -0.14, 1/701 in descending order.
1/701, -16/641, -0.14
Put -25, 5, 24, 940, 60 in decreasing order.
940, 60, 24, 5, -25
Sort 72, -8979, -3, 2/9 in descending order.
72, 2/9, -3, -8979
Sort 3, 4, 2, 64275.
2, 3, 4, 64275
Sort 10, -2, 36134, -0.1 in descending order.
36134, 10, -0.1, -2
Sort 1/9, -34, 2/13, 44, -5, 2, 1/3.
-34, -5, 1/9, 2/13, 1/3, 2, 44
Sort 1, 6, -231, 3433, 5, 2 in descending order.
3433, 6, 5, 2, 1, -231
Sort -3, 33, 7, 0, -975.
-975, -3, 0, 7, 33
Sort 17, -0.87, 76.1, 0.28.
-0.87, 0.28, 17, 76.1
Sort -13, 2, 6, 0, -1, -280, -4 in increasing order.
-280, -13, -4, -1, 0, 2, 6
Sort 0.3205, -4.7, -3/4, -1, 4.
-4.7, -1, -3/4, 0.3205, 4
Put -68, -5, 3266, 49, -4 in descending order.
3266, 49, -4, -5, -68
Sort -1/3, -437, 0.01158, 1/5, 0.4 in ascending order.
-437, -1/3, 0.01158, 1/5, 0.4
Put -44.8, -3, 3242 in descending order.
3242, -3, -44.8
Sort -2126, -4, -5, 5719, -3, -2 in increasing order.
-2126, -5, -4, -3, -2, 5719
Sort 57, -10, 4, -1472 in descending order.
57, 4, -10, -1472
Put 34, 71, 206 in ascending order.
34, 71, 206
So | {
"pile_set_name": "DM Mathematics"
} |
558.
122
What is the highest common factor of 154 and 147744982?
154
What is the greatest common divisor of 569 and 16896455?
569
What is the highest common factor of 45649 and 1158988?
191
Calculate the highest common factor of 16278 and 2861924709.
8139
Calculate the greatest common factor of 7315 and 647525263.
1463
Calculate the greatest common divisor of 264 and 356864.
8
Calculate the highest common divisor of 24225 and 24450.
75
Calculate the greatest common factor of 8646 and 1533486.
786
Calculate the greatest common factor of 353720608 and 32.
32
What is the greatest common factor of 116 and 9422274?
58
Calculate the highest common divisor of 21 and 101846073.
21
Calculate the highest common factor of 5351296 and 8620.
1724
Calculate the greatest common divisor of 328 and 681512.
8
Calculate the highest common divisor of 3466520 and 10.
10
What is the highest common divisor of 96 and 8763936?
96
What is the highest common divisor of 119343 and 52563?
21
Calculate the greatest common divisor of 2884 and 455084.
28
What is the highest common divisor of 916813 and 27559?
127
Calculate the greatest common factor of 56 and 579796.
28
Calculate the greatest common factor of 3347827 and 238.
119
Calculate the greatest common divisor of 303 and 3603074.
101
Calculate the greatest common divisor of 119 and 199905363.
119
What is the highest common divisor of 110788922 and 335?
67
Calculate the highest common factor of 304583 and 2252.
563
Calculate the highest common factor of 85587154 and 5862.
1954
What is the highest common factor of 6344 and 156455?
13
What is the highest common divisor of 1516853 and 858?
13
Calculate the highest common factor of 144 and 32777256.
24
What is the highest common divisor of 575 and 519157265?
115
Calculate the highest common divisor of 57029238 and 24696.
6174
What is the highest common divisor of 189 and 43609509?
27
Calculate the greatest common divisor of 408 and 4234904.
136
Calculate the greatest common factor of 37796 and 17644.
44
Calculate the highest common factor of 30044 and 2237205.
1073
What is the highest common divisor of 579 and 44316?
3
Calculate the greatest common divisor of 890812 and 7030.
74
What is the highest common divisor of 88175 and 28223054?
3527
Calculate the highest common divisor of 13115904 and 9312.
96
Calculate the highest common factor of 149375856 and 4464.
1488
Calculate the greatest common divisor of 1656 and 807139.
23
What is the highest common factor of 12636592 and 15872?
496
What is the greatest common factor of 1584276 and 57716?
188
Calculate the greatest common divisor of 341286 and 8866.
22
What is the greatest common divisor of 1552 and 10096536?
776
What is the greatest common factor of 34758948 and 78?
6
What is the highest common factor of 80 and 13571248?
16
What is the highest common factor of 1121074 and 50161?
487
Calculate the greatest common factor of 237954336 and 480.
96
Calculate the highest common divisor of 15 and 29033905.
5
What is the greatest common factor of 1129 and 105707141?
1129
What is the greatest common factor of 55485 and 16490690?
685
Calculate the greatest common factor of 556930 and 198.
22
Calculate the greatest common divisor of 2845 and 4870.
5
Calculate the highest common divisor of 793567 and 326529.
71
What is the highest common factor of 2294 and 6841018?
62
Calculate the highest common factor of 1728431 and 25009.
281
Calculate the highest common factor of 28975 and 21109.
19
Calculate the highest common divisor of 9746 and 4796.
22
Calculate the highest common divisor of 79820737 and 463.
463
Calculate the highest common divisor of 478 and 2123273849.
239
What is the greatest common factor of 34188672 and 11868?
276
Calculate the highest common divisor of 20868 and 5052735.
141
Calculate the greatest common divisor of 351610 and 18298.
14
What is the greatest common divisor of 173910 and 8959170?
5610
What is the highest common factor of 95 and 32090449?
19
Calculate the greatest common divisor of 10397564 and 460.
92
Calculate the greatest common factor of 2418901 and 1206.
67
What is the highest common divisor of 102 and 182810367?
51
Calculate the highest common divisor of 16647 and 291927341.
5549
Calculate the highest common factor of 8107952 and 9714.
3238
What is the greatest common divisor of 150810283 and 39?
13
What is the greatest common divisor of 25754124 and 62436?
1452
Calculate the greatest common divisor of 133986321 and 126.
63
Calculate the greatest common divisor of 70428 and 92676.
12
Calculate the greatest common divisor of 40568 and 792.
88
Calculate the highest common factor of 3806 and 3999241.
173
What is the highest common factor of 8625033 and 999?
333
What is the highest common factor of 136037280 and 480?
480
What is the greatest common factor of 204753688 and 12618?
1402
What is the greatest common factor of 1300 and 30503200?
1300
What is the greatest common factor of 499274 and 43739?
191
What is the greatest common divisor of 91266118 and 2?
2
Calculate the highest common factor of 1192584 and 115656.
1896
Calculate the greatest common factor of 57 and 107581325.
19
Calculate the greatest common divisor of 62900 and 42160.
340
What is the greatest common factor of 257291544 and 14928?
7464
Calculate the greatest common divisor of 1873183 and 26.
13
What is the greatest common factor of 31835272 and 29?
29
What is the highest common factor of 194100 and 294?
6
What is the greatest common factor of 2435 and 4211276495?
2435
What is the highest common factor of 490 and 61888715?
245
Calculate the greatest common factor of 300240 and 67120.
80
Calculate the greatest common factor of 130680 and 207090.
270
What is the highest common divisor of 1178360 and 2979?
331
What is the greatest common divisor of 26423832 and 36?
12
What is the highest common factor of 1295 and 2862135?
185
Calculate the highest common factor of 983896 and 1349.
19
Calculate the highest common factor of 230151441 and 5902.
2951
Calculate the highest common factor of 92 and 382171772.
92
Calculate the highest common divisor of 21228988 and 8484.
404
What is the greatest common divisor of 413030080 and 16?
16
What is the greatest common divisor of 8 and 50293152?
8
What is the greatest common factor of 266 and 101920?
14
Calculate the greatest common divisor of 81143533 and 6009.
2003
What is the highest common factor of 1271 and 676009312?
1271
What is the highest common divisor of 987 and 80041?
47
What is the greatest common divisor of 81 and 494919?
9
What is the highest common factor of 36816 and 2223?
39
Calculate the greatest common factor of 61 and 187653629.
61
What is the greatest common divisor of 3324 and 18792?
12
What is the highest common divisor of 88382832 and 1482?
114
Calculate the highest common divisor of 13 and 1524034447.
13
What is the greatest common divisor of 18 and 14086662?
6
What is the greatest common divisor of 14628 and 2129892?
276
Calculate the greatest common factor of 4196376 and 96.
24
Calculate the greatest common divisor of 743120 and 200760.
280
Calculate the highest common factor of 110 and 995093.
11
Calculate the greatest common factor of 978397 and 87653.
2369
What is the greatest common divisor of 32 and 1435640?
8
Calculate the highest common factor of 2131142 and 78.
26
What is the greatest common divisor of 1331015 and 850?
85
Calculate the greatest common factor of 26892965 and 385.
55
Calculate the greatest common divisor of 4223656 and 754687.
3239
Calculate the greatest common divisor of 9092832 and 896.
224
What is the highest common factor of 1117077 and 117?
39
What is the greatest common factor of 828 and 315446748?
276
Calculate the highest common factor of 379600 and 899912.
104
Calculate the highest common divisor of 328183898 and 14.
14
Calculate the highest common factor of 102816 and 4056336.
2448
What is the highest common factor of 313117 and 4756?
41
What is the highest common divisor of 24352 and 70296614?
1522
Calculate the highest common factor of 5928 and 581464.
104
What is the highest common divisor of 2835 and 1908963?
63
What is the highest common divisor of 6213215 and 35?
5
Calculate the greatest common divisor of 2981 and 5.
1
What is the h | {
"pile_set_name": "DM Mathematics"
} |
: 6}. What is prob of picking 1 g and 2 d?
3/28
What is prob of picking 1 h, 1 f, 1 b, and 1 l when four letters picked without replacement from {b: 4, h: 1, l: 1, f: 5, g: 9}?
4/969
Calculate prob of picking 1 e and 1 b when two letters picked without replacement from vbbkkgkibeki.
1/22
Calculate prob of picking 1 w, 1 s, and 1 y when three letters picked without replacement from wwcswyssss.
1/8
Three letters picked without replacement from rrmrrmgzrmrzzzzm. What is prob of picking 2 r and 1 g?
3/112
Three letters picked without replacement from yhghgbghooohvyhhyyy. What is prob of picking 1 b and 2 h?
5/323
Two letters picked without replacement from {f: 1, x: 2, v: 4, b: 5, m: 4}. What is prob of picking 1 m and 1 v?
2/15
Calculate prob of picking 1 z, 1 t, and 2 f when four letters picked without replacement from zzvtfzzzttutftvv.
5/364
What is prob of picking 1 f and 1 g when two letters picked without replacement from {g: 2, f: 2, w: 2, m: 1, h: 1}?
1/7
Two letters picked without replacement from ucnuq. What is prob of picking 2 u?
1/10
Two letters picked without replacement from {n: 1, o: 1, g: 2, j: 1, k: 1, h: 2}. What is prob of picking 1 j and 1 g?
1/14
Two letters picked without replacement from kcybbcywwbcbkbbbc. Give prob of picking 1 c and 1 y.
1/17
What is prob of picking 1 q and 2 j when three letters picked without replacement from {j: 6, n: 2, q: 2, d: 1}?
2/11
What is prob of picking 1 u and 2 s when three letters picked without replacement from uuuspuss?
3/14
What is prob of picking 1 w and 2 u when three letters picked without replacement from arruwaarwau?
2/165
Calculate prob of picking 2 w when two letters picked without replacement from {w: 3, p: 1}.
1/2
What is prob of picking 1 t and 1 a when two letters picked without replacement from aqsqoooosrtttqrs?
1/40
Two letters picked without replacement from llnlnlnssllfyllnfnvn. What is prob of picking 1 y and 1 s?
1/95
Two letters picked without replacement from {n: 1, z: 1, c: 2}. Give prob of picking 1 n and 1 z.
1/6
Four letters picked without replacement from {n: 10, a: 1, y: 2, g: 3, f: 1}. Give prob of picking 1 y, 1 f, 1 n, and 1 g.
3/119
Two letters picked without replacement from {q: 2, v: 6, l: 4, p: 1}. What is prob of picking 2 v?
5/26
Calculate prob of picking 2 w when two letters picked without replacement from {l: 2, w: 1, v: 3, j: 3, r: 3, g: 2}.
0
What is prob of picking 2 a and 2 e when four letters picked without replacement from {c: 2, k: 1, y: 1, e: 2, a: 2, j: 1}?
1/126
Calculate prob of picking 4 j when four letters picked without replacement from {j: 15, u: 3}.
91/204
What is prob of picking 3 m when three letters picked without replacement from {m: 3, h: 4, j: 1}?
1/56
What is prob of picking 1 u and 1 z when two letters picked without replacement from {c: 2, m: 2, i: 1, q: 1, u: 2, z: 1}?
1/18
Two letters picked without replacement from jjjfjjfffjjff. What is prob of picking 2 j?
7/26
What is prob of picking 1 b and 3 l when four letters picked without replacement from {b: 3, q: 2, l: 12}?
33/119
Two letters picked without replacement from qqjqjjjjqjj. What is prob of picking 1 q and 1 j?
28/55
Two letters picked without replacement from {g: 9, e: 10}. Give prob of picking 2 e.
5/19
Calculate prob of picking 1 d and 1 w when two letters picked without replacement from {d: 2, w: 1, t: 1, p: 1, f: 1, n: 1}.
2/21
What is prob of picking 4 i when four letters picked without replacement from inenppiiupiipeugin?
1/204
Four letters picked without replacement from {m: 2, h: 6}. What is prob of picking 2 h and 2 m?
3/14
Four letters picked without replacement from {a: 5, n: 2, j: 1, v: 1, d: 3, l: 1}. What is prob of picking 3 a and 1 j?
2/143
Three letters picked without replacement from uaaurccuccccacccuac. What is prob of picking 2 u and 1 c?
20/323
Two letters picked without replacement from {o: 1, y: 6, j: 10}. Give prob of picking 1 y and 1 o.
3/68
Two letters picked without replacement from fyyraaayyfyar. Give prob of picking 2 y.
5/39
Three letters picked without replacement from {d: 5, z: 8, y: 5}. Give prob of picking 3 y.
5/408
Calculate prob of picking 2 r when two letters picked without replacement from rhrhrrrrrrrhrhrhrrqq.
39/95
What is prob of picking 1 l and 1 s when two letters picked without replacement from lggagaagsaax?
1/66
Two letters picked without replacement from dcydfscfcycfsdfsyf. Give prob of picking 2 s.
1/51
Three letters picked without replacement from {o: 5, w: 2, l: 1, n: 1, f: 1}. What is prob of picking 1 w, 1 o, and 1 f?
1/12
Three letters picked without replacement from gggooggoogg. Give prob of picking 2 o and 1 g.
14/55
Four letters picked without replacement from {b: 5, w: 11}. Give prob of picking 4 b.
1/364
Three letters picked without replacement from rrrrrhqhrrnqqnrnqr. Give prob of picking 1 n, 1 r, and 1 h.
9/136
Three letters picked without replacement from {c: 5, w: 2, t: 2, h: 1, q: 2, a: 1}. What is prob of picking 1 w, 1 t, and 1 c?
10/143
What is prob of picking 1 s and 2 n when three letters picked without replacement from osnsonlll?
1/42
Calculate prob of picking 2 d and 2 a when four letters picked without replacement from daadadxdzzaddaz.
10/91
Calculate prob of picking 1 f, 2 j, and 1 h when four letters picked without replacement from hrfffhfrrahjh.
0
Calculate prob of picking 2 i and 1 s when three letters picked without replacement from {p: 2, s: 2, h: 12, i: 2, v: 1}.
2/969
What is prob of picking 1 u and 1 r when two letters picked without replacement from nrurx?
1/5
Two letters picked without replacement from {c: 3, l: 3}. What is prob of picking 2 c?
1/5
Calculate prob of picking 1 o and 1 c when two letters picked without replacement from pvccpcccompm.
5/66
Calculate prob of picking 2 i and 1 n when three letters picked without replacement from iifinokkkkkf.
3/220
Three letters picked without replacement from {p: 5, v: 5, u: 1, g: 6}. What is prob of picking 3 p?
1/68
What is prob of picking 1 l and 2 e when three letters picked without replacement from {e: 4, l: 3}?
18/35
Two letters picked without replacement from xxxpxp. What is prob of picking 2 p?
1/15
What is prob of picking 1 j and 1 f when two letters picked without replacement from {d: 1, i: 1, j: 3, o: 4, f: 8}?
3/17
Three letters picked without replacement from {m: 2, w: 1, s: 1, u: 1}. Give prob of picking 1 s, 1 m, and 1 u.
1/5
What is prob of picking 4 g when four letters picked without replacement from gggiggigiggggggiig?
143/612
What is prob of picking 1 f and 1 y when two letters picked without replacement from {u: 3, f: 2, y: 3, j: 4, d: 3, g: 1}?
1/20
Calculate prob of picking 2 y and 2 x when four letters picked without replacement from {y: 9, x: 3}.
12/55
Calculate prob of picking 2 f when two letters picked without replacement from yvuuffyvfuvvv.
1/26
Calculate prob of picking 1 y, 1 f, and 1 x when three letters picked without replacement from xfyyxxyyxy.
1/6
Calculate prob of picking 2 k and 1 l when three letters picked without replacement from lklyykkkk.
5/21
What is prob of picking 1 s and 2 z when three letters picked without replacement from mzsmmmzz?
3/56
Four letters picked without replacement from {i: 5, d: 7, a: 8}. Give prob of picking 4 d.
7/969
What is prob of picking 2 z and 1 n when three letters picked without replacement from {z: 2, n: 2}?
1/2
Four letters picked without replacement from ooooooooo. Give prob of picking 4 o.
1
What is prob of picking 3 h and 1 i when four letters picked without replacement from {v: 1, e: 2, l: 6, i: 3, h: 4}?
3/455
Four letters picked without replacement from {t: 1, a: 1, f: 1, d: 2}. Give prob of picking 1 a, 1 d, 1 t, and 1 f.
2/5
Two letters picked without replacement from {j: 3, s: 1, q: 6, e: 2}. What is prob of picking 1 j and 1 s?
1/22
What is prob of picking 4 t when four letters picked without replacement from {i: 3, t: 11}?
30/91
What is prob of picking 1 b and 1 w when two letters picked without replacement from viwbo?
1/10
What is prob of picking 1 n and 1 l when two letters picked without replacement from nnllnnl?
4/7
What is prob of picking 1 o, 1 z, and 1 m when three letters picked without replacement from mzomc?
1/5
Four letters picked without rep | {
"pile_set_name": "DM Mathematics"
} |
of y.
2, 3
Let l(k) = -k**2 + 11*k - 9. What are the prime factors of l(4)?
19
Let n = 20 + 40. Suppose -b = -5*b + n. List the prime factors of b.
3, 5
Let p(o) = 4*o**3 - 15*o**2 + 5*o - 6. Let w(m) = -7*m**3 + 29*m**2 - 9*m + 13. Let d(v) = -5*p(v) - 3*w(v). What are the prime factors of d(12)?
3, 5
Suppose -2*o + 28 = 4*p, 4*p - 12 + 0 = 2*o. List the prime factors of o.
2
List the prime factors of 28/14 - (1 - 67).
2, 17
Suppose -5*f = -0*f - i, -5*f + 2*i = 0. Suppose f = c - 1 - 4. What are the prime factors of c?
5
Let n = -59 - -132. Suppose 77 + n = 5*r. Suppose -u = -3*y + 3*u + 28, 0 = -2*y - 3*u + r. What are the prime factors of y?
2, 3
Suppose 6 + 0 = 3*w. Let s(l) = 3*l - 19. Let o be s(8). Suppose w*d + z - o*z = 38, 0 = d - z - 18. List the prime factors of d.
17
Let r(k) = -6*k**3 + k**2 - 2. Let o be r(2). Let q = o - -80. What are the prime factors of q?
2, 17
Suppose 12 = 5*x + 2. Suppose 82 = x*y + 3*y + 2*i, 5*i = 3*y - 43. List the prime factors of y.
2
Let b(y) = -y**3 - 7*y**2 - 3*y - 4. Let h be b(-7). Let t = 73 - h. What are the prime factors of t?
2, 7
Let a(i) = -4*i + 7*i - 2 - 2*i. Let o be a(4). Suppose 5 = o*u + 1. List the prime factors of u.
2
Let m be -7*(0 + (-30)/(-7)). Let z be m*(1 + 14/(-10)). Let y = z + -1. List the prime factors of y.
11
Suppose 3*v = -4*v + 406. List the prime factors of v.
2, 29
Suppose 10*k = k + 1647. List the prime factors of k.
3, 61
Let l = 7 - 7. Let z be (l/2)/(-2 - -4). What are the prime factors of z - (-18)/4*2?
3
What are the prime factors of 19/((-26)/(-8) + -3)?
2, 19
Let k = 28 + -26. List the prime factors of k.
2
List the prime factors of ((-227)/7 - 1)/((-3)/14).
2, 3, 13
Let v(i) = -i**3 + 2*i**2 + 3*i + 4. Let k be v(3). List the prime factors of k*((-5)/(-4) - 0).
5
Suppose -k + 8 = -10. Let b = k - 13. Suppose 3*j - b - 4 = -3*h, j + 5 = h. List the prime factors of h.
2
Let q be (2 + 0 + 1)*1. Let d(z) = -2*z**3 + z + 0*z**q + z**3 + 1 + 3*z**2. List the prime factors of d(3).
2
Let g be -6*3/(-6)*3. Suppose -6*v = -g*v + 15. Suppose -v*r = i - 30, -4*r + i + 24 = -2*i. List the prime factors of r.
2, 3
Let y(j) = -3*j**3 - 2*j**2 - 16. Let h(o) = -16*o**3 - 11*o**2 - 80. Let k(t) = 2*h(t) - 11*y(t). What are the prime factors of k(0)?
2
Suppose 2*d = 2*p - 4, 7 + 4 = -3*d + 4*p. Let x = d + 0. What are the prime factors of x?
3
Suppose 0*h = -5*h + 15. Suppose -c = -4*n - 40, -95 = -c - h*c + 3*n. List the prime factors of c.
2, 5
Suppose 7*o - 11*o + 96 = 0. List the prime factors of o.
2, 3
Let n(x) be the third derivative of 0 - 1/24*x**4 + 1/2*x**3 - 3*x**2 + 0*x. List the prime factors of n(-3).
2, 3
Suppose 4*s - 26 = -a, -s + 143 = 3*a - 2*s. What are the prime factors of a?
2, 23
Let w(c) = c**3 + 2*c**2 - 1. Let i be w(-2). Let g = 1 - i. Suppose 4*p - 37 = y, -34 + 13 = -g*p + 3*y. What are the prime factors of p?
3
Suppose 16 = 3*a - 8. List the prime factors of a.
2
Let h(b) = -2*b**3 - 3*b**2 + 4*b + 1. What are the prime factors of h(-3)?
2
Let f(n) = -15*n - 3. Let r be f(-4). What are the prime factors of (r/6*4)/2?
19
Let m be (32/40)/((-4)/10). Let s = 29 - m. List the prime factors of s.
31
Let g = -4 - -5. List the prime factors of 15 + (g - 2/(-1)).
2, 3
Let s be (-1 + 3)/(8/(-160)). Let o = -6 - s. What are the prime factors of o?
2, 17
Let d(g) = -g**2 - 6*g. Let p be d(-5). Suppose -f = 2 - p. Suppose -f*j - 15 = -6*j. What are the prime factors of j?
5
Let z = 8 + -5. Suppose 6*u - z*u + 5*q - 36 = 0, 5*q - 50 = -5*u. List the prime factors of u.
7
Let d(f) = -f. Let z be d(-6). Suppose z*t = 3*t + 45. What are the prime factors of t?
3, 5
Suppose 18 = -y + 5*h, -2*y - 2 - 2 = -2*h. Suppose -1 = -2*n - i + y, 0 = 4*n + 4*i + 4. Suppose o = -n*o + 30. List the prime factors of o.
2, 3
Suppose 0 = 4*y - 103 - 29. Suppose 3*r + y = 6*r. List the prime factors of r.
11
Let y = 12 + -20. Let w = y + 13. Suppose -w*o + 52 = -o. What are the prime factors of o?
13
Suppose -s + 5 = 1. Let h(z) = -z + 5. Let n be h(s). What are the prime factors of (n/1)/((-3)/(-36))?
2, 3
Let r be (99/3)/(-3) - 3. Let l = 36 + r. What are the prime factors of l?
2, 11
Let r(x) be the first derivative of -x**4/4 - 7*x**3/3 - x**2/2 + 2. List the prime factors of r(-7).
7
Suppose -134 = 8*i - 574. What are the prime factors of i?
5, 11
Let t be ((-32)/(-24))/((-4)/(-54)). Let x be (-6)/4*(-16)/6. Let q = t - x. What are the prime factors of q?
2, 7
Let g be 5 - (-3)/(-9)*3. Suppose -4*d = -4*t - 106 + 22, -g*d - t + 69 = 0. List the prime factors of d*-4*(-3)/18.
2, 3
Let z(q) = -6 + 3 + 14 + 10*q - q**2. Suppose -72 = 2*t - 10*t. What are the prime factors of z(t)?
2, 5
Let h be (2/6)/((-2)/(-12)). Suppose 30 = 2*u + u - g, -h*u - 5*g = -3. List the prime factors of u.
3
Suppose -2*o + 3*i = -37, 5*i = 1 - 6. Let f = 42 - o. Let r = -17 + f. List the prime factors of r.
2
Let b = 15 + 25. List the prime factors of b.
2, 5
Let i = -33 + 46. Let s = i + -10. What are the prime factors of s?
3
Let g be (0 - 3/(-3)) + -1. Suppose g = 4*s - 5 - 31. What are the prime factors of s?
3
Let w(u) = u**3 + 4*u**2 + u + 4. Let h be w(-4). Suppose -2*i = 3*v + 2*v - 66, -2*v + 3*i + 34 = h. List the prime factors of v.
2, 7
Let f = -30 + 43. Suppose -3 + f = d. What are the prime factors of d?
2, 5
Let y(v) be the third derivative of -7*v**4/24 - 2*v**3/3 + 6*v**2. List the prime factors of y(-4).
2, 3
Suppose -10*p = -6*p - 808. What are the prime factors of p?
2, 101
Suppose -4*z + 6*z + 6 = 0. Let h(o) = 3 - 2*o + 0*o + o. List the prime factors of h(z).
2, 3
Let x(m) = 13*m**2 + 2*m + 1. Let s(l) = 2 + 8*l + 3 + 1 + l**2. Let v be s(-7). What are the prime factors of x(v)?
2, 3
Suppose -5 = -4*j + 15. Suppose 6 = g - j. List the prime factors of g.
11
Let v be 14/10 - (-3)/5. Let l(z) = 4 - 3*z - 1 - 5 + v*z. What are the prime factors of l(-7)?
5
Suppose -4*r + 3*p = -15, -r = -4*r - 4*p - 20. Let j = r - -2. List the prime factors of 12 + j + 0/(-1).
2, 7
Let t = 282 + -166. What are the prime factors of t?
2, 29
Let u(m) = -33*m + 1. List the prime factors of u(-1).
2, 17
Let l(w) = -2*w + 32. What are the prime factors of l(-12)?
2, 7
Suppose 27*k = 22*k + 215. List the prime factors of k.
43
Let g be (8/(-3))/(4/(-18)). Suppose 2*z + g = 6*z. List the prime factors of z.
3
Suppose -5*c - 38 = 107. Let t = c - -20. Let n = t - -14. What are the prime factors of n?
5
Let p(j) = -j. Let w be p(-2). Suppose w*q = -q. Suppose 2*n - 10 = q, 0*s - 5*s - 4*n = -75. List the prime factors of s.
11
Let b(r) = -21*r. Let t be b(2). Let c = -13 - t. Suppose -9 = 4*p - c, 4*k - 70 = -2*p. List the prime factors of k.
3, 5
Let t(g) = -g**3 + 7*g**2 + 8*g - 1. Suppose 2*b = -2*b + 5*o + 27, -2*b + 3*o + 13 = 0. Let m be t(b). List the prime factors of (m - 9)*10/(-25).
2
Let j(y) = -6*y**3 + 2*y - 4. Let w(v) = 5*v**3 + v**2 - v + 3. Let m(o) = -4*j(o) - 5*w(o). Let b be m(-4). Let s = b + 9. List the prime factors of s.
2, 3
Suppose -4*g - 23 = 3*r + 158, -4*g + 3*r = 211. What are the prime factors of (-21)/g - (-165)/7?
2, 3
Let z(p) = 8*p**2 + 8*p + 8. List the prime factors of z(-4).
2, 13
Suppose -17*c = -4*a - 21*c + 72, c = 5*a - 60. List the prime factors of a.
13
Suppose 3*c + 9 = -3*w, w = 3*w + 8. Suppose -4*v + 31 + c = 0. List the prime factors of v.
2
Let r be (2 + 0 - 9) + -2. Let w = -12 + 27. Let j = w + r. What are the prime factors of j?
2, 3
Suppose 0 = -4*t + 5 + 11. Suppose -t*z + 12 = -20. What are the prime factors of z?
2
Let z be 2/3 - (-10)/(-15). Suppose -2*g + z + 70 = 0. What are the prime factors of g?
5, 7
Suppose -5*z = 5*s - 20, -4*z - 4 = -2*s + 4. Suppose -2*t - 3*t + 5 = z. List the prime factors of t + -6 + 3 + 5.
3
Let o = 12 + -10. Let h = -10 + 14. Suppose 4*b - o*q - 38 = -0*b, -5*b + 67 = h*q. What are the prime factors of b?
11
What are the prime factors of (-2)/4*5*(-20 + -6)?
5, 13
Let x(c) = -c**3 + 9*c**2 - 5*c + 3. Let y be x(8). Suppose -y = -2*i - 1. List the prime factors of i.
13
Let u(d) = 51*d**2 + d - 1. Let g be u(1). Suppose 7*l - 4*f - 67 = 2*l, g = 3*l + 3*f. List the prime factors of l.
3, 5
Let d = 1 + -1. Suppose 0 = 2*f - d*f. Suppose 3*g + 2 - 17 = f. List the prime factors of g.
5
Suppose 5*c = c + 24. Li | {
"pile_set_name": "DM Mathematics"
} |
se l - 978 = -r*l. Let o = l - 30. What is the hundreds digit of o?
1
What is the hundreds digit of (-148)/(-740) - 79558/(-10)?
9
Let b be (-80)/(-25)*(-5)/(-2)*3. Suppose d + 4*g = 5*g + 16, -4*d - 4*g + b = 0. What is the units digit of d?
1
Let y = 30451 + -17473. What is the units digit of y?
8
Let c be (-27 - 1)/(13 + 18487/(-1421)). Suppose 4*r - c = 1594. What is the units digit of r?
9
Let y(v) = -947*v + 10949. What is the hundreds digit of y(-26)?
5
Let g(b) = 17*b**2 + 4*b - 4. Let j be g(1). Let u = 429 + j. What is the units digit of u?
6
Let a(l) = -16*l**3 + 3 + 17*l**3 - l + 7. Let b be a(0). What is the tens digit of b/3*(0 - -33)?
1
Let v(r) = 2*r**2 + 13*r. Let n(g) = -g**2 - 14*g. Let x(z) = -3*n(z) - 2*v(z). Let k be x(16). Let w(t) = t**2 + t + 31. What is the tens digit of w(k)?
3
What is the thousands digit of -6*(-1 + 3322*(-7)/84)?
1
Suppose -g = -0*g - 4. Suppose 187 = 2*z - g*l - 817, 4*z + 2*l - 2028 = 0. What is the tens digit of z?
0
Let c be (-1 - 3 - -1) + 3. Let x(s) = -s + 23. Let u be x(-14). Let i = c + u. What is the units digit of i?
7
Let t(h) = h**2 + 21*h + 52. Let y be t(-18). Let v be -4 + (-3)/6*260*y. Suppose 4*d - v = 152. What is the units digit of d?
2
Let x be ((-2)/(-6))/(8/59424*-4). Let i = x - -1787. What is the thousands digit of i?
1
Suppose 6484 + 23051 = 17*l - 12*l. What is the hundreds digit of l?
9
Suppose 13*k - 2951 = 2860. What is the hundreds digit of k?
4
Suppose 75 = 3*z - t - 132, 0 = 4*t. Suppose -1129*b + 1130*b = z. What is the tens digit of b?
6
Suppose 40*i = 38*i + 2088. Suppose m + 25*k - i = 29*k, -4*m - 2*k = -4194. What is the units digit of m?
8
Suppose 3*a - 605 = 295. Let j = a + -99. Suppose j = 5*n + v, 3*v - 111 = -5*n + 2*n. What is the units digit of n?
1
Let y(h) be the first derivative of -14 + 8*h**2 + 2*h**2 + 38*h - 12*h**2 + 18*h. What is the units digit of y(0)?
6
Let s(x) = 2*x - 3. Let o be s(1). Let m be o - 3 - -7*6/6. Suppose -m*k = -3*v - 384, 5*k + 0*k = -2*v + 675. What is the units digit of k?
3
Let y(a) be the first derivative of 53*a**4/4 + a**3/3 + a**2/2 + 3*a - 27. What is the hundreds digit of y(2)?
4
Suppose 0 = 2*n + 5*z - 77188, 2*n + z - 8904 = 68252. What is the units digit of n?
4
Let g(r) = -816*r - 214. Let n be g(-10). Suppose 3*w - 4767 = 2*m, 3*m + n = -57*w + 62*w. What is the thousands digit of w?
1
Let g = 72 + -67. Suppose 67*u = 69*u + 438. What is the units digit of u/(-9)*3 - g?
8
Suppose -2*j + 2*i = -52, i - 130 = -5*j + 2*i. Let l = 92 - j. Suppose 35*c + l = 36*c. What is the tens digit of c?
6
What is the hundreds digit of (-1*2)/((15 + -22)/6083)?
7
Let m = 2995 - 1583. Suppose -4*n = 4*x - m, 0 = -2*x - 0*x - 3*n + 706. What is the units digit of x?
3
Let p(d) = 3*d + 10. Let t be (2/2 + (-20)/16)*-12. Let j be p(t). What is the tens digit of j/(3/2 + -1)?
3
What is the ten thousands digit of ((-268)/16 + 15)*-1*6332?
1
Let y = 1786 + -439. Suppose -3*m - 6*q = -2*q - y, -3*q = -2*m + 915. What is the units digit of m?
3
Let w = 346 + -382. What is the units digit of (-1 + (1 - -47))/(-3)*w?
4
Let r(w) = -w**3 + 5*w**2 + 11*w + 8. Let c = -6 + 8. Suppose -c*l + 21 = -0*l - 3*a, 0 = l - 4*a - 18. What is the tens digit of r(l)?
3
Let h = 3 - 1. Suppose 0 = h*q + q - 9. Suppose -o = q*a + 4*o - 234, -4*o = a - 85. What is the tens digit of a?
7
Let x(c) = -161*c - 13. Let k be x(-3). Suppose 5*g + 60 = k. What is the tens digit of 3 - (g/(-6) + 4/6)?
1
Let s(v) = -116 + 65*v**2 + 116 + 2*v. What is the hundreds digit of s(-3)?
5
Let p = 6817 + 16728. What is the tens digit of p?
4
Suppose m - 2*u = -231 + 773, -4 = -4*u. Let g(p) = -2*p - 5. Let f be g(-7). Suppose 0 = -h + f*h - m. What is the tens digit of h?
6
Let z be -3*(-65)/45 - (-2)/(-6). Suppose -437 = -z*a + 167. What is the tens digit of a?
5
Suppose 139*b + 155705 = 144*b + 5*k, -5*b + 2*k + 155747 = 0. What is the units digit of b?
7
Suppose p = 34 + 12. Let x = p - 44. Suppose 6 = -y + 3*z, x*y + 2*z - 14 = y. What is the units digit of y?
6
Let h = -2334 + 7893. What is the thousands digit of h?
5
Let w be (-14)/(-4) - 4/(-16)*2. Suppose -156*h + 155*h + 16 = 0. Suppose -h*n + 11*n = t - 1221, 0 = w*n - 4*t - 972. What is the units digit of n?
4
Let u be -18*(13/(-13) - (-5)/(-3)). Let k = u + 29. What is the units digit of (5 - k/14)/(1/(-138))?
9
Let c be 0*((-2)/2)/(4 - 2). Suppose c = 97*u - 93*u - 1108. What is the units digit of u?
7
Let c = 723 + 2633. Suppose -2*k = -5*q - 548 - 782, 0 = 5*k + 3*q - c. What is the hundreds digit of k?
6
Suppose 170*m + 8820 = 163*m. Let l = -658 - m. What is the hundreds digit of l?
6
Suppose 50*w - 8*w - 1206076 = -180478. What is the units digit of w?
9
Let g = 76 - 145. Let c = g + 68. What is the units digit of ((0 - -27) + c)*(-41 - -43)?
2
Let u = -19 - -15. Let o(m) = -56*m + 19. What is the units digit of o(u)?
3
Suppose -8843*h - 323466 = -8869*h. What is the units digit of h?
1
Let f = -220 + 226. Suppose -f*b + 3*h + 1713 = -3*b, -5*b = -h - 2855. What is the tens digit of b?
7
Let l(g) = -11*g + 11. Let v be l(1). Suppose 4*c = -v*p - p + 259, 4*p - 3*c - 979 = 0. What is the units digit of p?
7
Let g = -34201 + 66803. What is the ten thousands digit of g?
3
Let j(x) = 5*x**2 - 10*x - 10. Suppose -5*k - 5 = -2*z, -2*z - 5*k + 15 = -0*z. Let a be j(z). What is the units digit of a - (6 + 3)/3?
2
Let t(z) = 5*z**3 - 8*z**2 + 8*z + 31. Let l(d) = -6*d**3 + 11*d**2 - 7*d - 30. Let m(g) = -4*l(g) - 5*t(g). What is the units digit of m(-8)?
7
Let p(q) = q**2 + 5*q + 6. Let l be p(8). Let u = -105 + l. Suppose -638 = -7*m + 2*m - 2*b, 0 = u*m + 5*b - 635. What is the units digit of m?
8
Let f be 3/((-36)/(-8) + -3). Let d(v) = 97*v**2 - 6*v + 7. What is the units digit of d(f)?
3
Let v be ((-204456)/(-224))/(2/8). Suppose 2*c - 1462 = -2*p, -19*p + 22*p - v = -5*c. What is the tens digit of c?
2
Suppose -259967 = 124*k - 2108187. What is the hundreds digit of k?
9
Let i = 2214 + 5432. What is the hundreds digit of i?
6
Suppose 85*a = 212*a + 50*a - 3348486. What is the thousands digit of a?
8
Let f = -48133 - -118448. What is the tens digit of f?
1
Let v(z) = 8*z - 4. Let l be v(-7). Let p be 4/(-18) + (-2398)/(-18). Let b = l + p. What is the tens digit of b?
7
Suppose 3*r - 511 = -4*r. Let f = -68 + r. Suppose c = 4, 4*t = f*c - 2*c + 300. What is the units digit of t?
8
Suppose 1996 = 4*a + 17*a - 10814. What is the units digit of a?
0
Let m = 44 - -49. Suppose -315 - m = -8*u. Suppose 10*s = u + 399. What is the units digit of s?
5
Let f(j) = 10*j + 1. Suppose -10 = -2*d - 3*d. Suppose 5*p - 3 = d*p. What is the units digit of f(p)?
1
Let c(j) = -17*j**3 - 35 - 2*j - 37 + 75. What is the units digit of c(-3)?
8
Let h(t) = t + 18. Let n be h(7). Suppose 21 = -z + 3*w, -4*w = 5*z - 3*w + n. Let c(k) = -2*k**3 - 5*k**2 + k - 18. What is the tens digit of c(z)?
2
Let s(u) = -u**3 - 15*u**2 - 15*u - 5. Let n be s(-13). Let o = n - -302. What is the tens digit of o?
5
Suppose -94*u + 3*s + 91801 = -89*u, -u - 5*s = -18349. What is the units digit of u?
9
Let x(i) = -i**3 + 78*i**2 - 54*i + 293. What is the hundreds digit of x(42)?
5
Let l(r) be the second derivative of -251*r**3/3 + 10*r**2 - 200*r. What is the hundreds digit of l(-2)?
0
Let n = 3736 + 26800. What is the hundreds digit of n?
5
Let u(g) = 2*g**2 + 15*g + 10. Suppose 2*r - 146 = -42. Let d = 42 - r. What is the units digit of u(d)?
0
Suppose 2*l = -2*l + 4*h - 28, 4*h = 3*l + 25. Let x(v) = -4*v - 12. Let s be x(l). Suppose 2*z + 2*n = 92, 4*z + s*z = 2*n + 160. What is the tens digit of z?
4
Suppose -357656 + 3314500 = 268*g. What is the thousands digit of g?
1
Let j(o) = 2*o**2 + 195*o + 179. What is the thousands digit of j(77)?
7
Suppose 39 = -x + 3*k + 616, 0 = 5*x - 3*k - 2945. Let r = 47 + x. What is the units digit of r?
9
Let r(x) = -3*x**3 - x**2 + x + 1239. Let n be r(0). Let a = -683 + n. What is the units digit of a?
6
Suppose t + 3 + 5 = 3*b, -24 = -5*b - t. Suppose -496 = b*f - 5*f + 3*q, 3*f = 5*q + 1488. What is the hundreds digit of f?
4
Suppose 85187 = 93*j - 47896. What is the thousands digit of j?
1
Let s(h) = 14429*h - 208. What is the tens digit of s(1)?
2
What is the thousands digit of 7509/((-15)/3 - -6)?
7
Let | {
"pile_set_name": "DM Mathematics"
} |
-102.813. Let a = r - -102. Which is greater: a or -49?
a
Let a = 422 - 389. Let j be (55/a)/((-4)/48). Which is greater: j or 2/5?
2/5
Suppose 5*p - t = -98, 5*p + 25 + 85 = 5*t. Let k be 4/(6/15 - (-24)/(-110)). Let m = k + p. Is m greater than or equal to -0.3?
True
Suppose -5*v + 8 = -k, 8*v - 4*k + 14 = 11*v. Let m be (-2 - v)/(-4) - (-2)/3. Is m bigger than 2?
False
Let n be (2 + 266/(-130))/(1317/(-4390)). Let c(h) = h - 3. Let u be c(3). Are u and n non-equal?
True
Let l = -3 - 0. Let f = l + 4. Let x be (((-27)/(-4))/(-9))/(27/(-12)). Is f bigger than x?
True
Suppose 72*q + 31414 - 11863 + 30561 = 0. Is q equal to -696?
True
Let t = 369 - 366. Suppose 4*m + z + 17 = 0, -10 = 5*z - t*z. Is -28/11 > m?
True
Suppose 4*o + 5*a - 12942 = 26389, 39304 = 4*o - 4*a. Is 9829 >= o?
True
Suppose -3883 = -89*j + 140*j - 23059. Is 369 greater than or equal to j?
False
Suppose 0*l + 829 = 3*a - 5*l, -a = -4*l - 288. Suppose -20 = 4*p + a. Let n be (-1)/30*(-45)/p. Is -1 greater than or equal to n?
False
Let i(z) = -4*z**3 - 5*z**2 - 3*z + 4. Let j be i(-3). Suppose -u = -2*u - 78. Let w = u + j. Is w greater than -8/7?
False
Suppose -1 = r - m, 0 = r - 4*m - 78 + 85. Which is bigger: r or 16/167?
r
Let w(g) = g**2 + 8*g - 5. Let j be w(-9). Suppose 10*l = j*l + 216. Suppose l = z - 3*s, 2*z - 2*s + 104 = 4*z. Is z < -2/5?
False
Let t(l) = 361*l**2 - 634*l + 20. Let k be t(5). Which is bigger: k or 5874?
k
Let i be (8/(-97300))/((-8)/40). Let o = 82693/29190 + i. Let y be 2/12*(-3)/2. Do y and o have the same value?
False
Suppose -3*h - 3*p - 603 = h, -5*p = -5*h - 780. Let x = 143 + h. Let s be ((-142)/8)/(x/8) + 3. Which is smaller: 1 or s?
1
Let d be 5 + (-16)/(160/490). Which is smaller: 14 or d?
d
Let d = 31.4 - 35. Let w = 6.67 + d. Let v = -0.07 + w. Is v less than -0.4?
False
Suppose 8*g - 876 = 12*g + 5*q, q = -4*g - 876. Which is greater: g or -221?
g
Let p = 300.19 - 300. Let g = p - 0.49. Do g and 65 have the same value?
False
Let j be (5 - 2)/(((-195)/40)/(-13)). Suppose -4*f + 14 = a, 5*f = -j*a + 4*a + 23. Are 3/2 and a equal?
False
Let a be (21/4)/(13/52). Suppose 2*w - 3*i + 1 + 4 = 0, -5*w + 4*i = -5. Let x be -10*4*w/(-10). Which is smaller: x or a?
x
Let l(a) = a**3 - 9*a**2 - 7*a - 26. Let y be l(10). Let t be 219/(-2)*(-2)/y. Let f = 2553/44 - t. Are f and 4 equal?
False
Let l(q) = -25 - q**3 + 6 - 43 + 0*q + q**2 - 3*q - 19. Let v be l(0). Is v at least -81?
True
Suppose 194 + 499 = -11*u. Let c = -57 - u. Let d(q) = -7*q**3 - q. Let t be d(-1). Are c and t non-equal?
True
Let s(v) = -v**3 - v**2 + 1. Let u(y) = 4*y**3 + 15*y**2 - 17*y - 63. Let p(t) = 3*s(t) + u(t). Let k be p(-13). Is -4 != k?
True
Let o(s) = -s**2 + 6*s - 3. Let b be o(5). Let j = -4 + 21. Suppose 0*d = -d - 4*k + 10, -b*d - 5*k + j = 0. Is d not equal to 0?
True
Let t(j) = -208*j - 343. Let h be t(-4). Are h and 6 non-equal?
True
Let m(k) = k**2 - 33*k + 269. Let o be m(15). Which is bigger: o or -1408?
o
Let t be (-4675 - -163) + 2*3/2. Is t bigger than -4509?
False
Let j be (15/50)/(2/1090). Let g = j + -163. Which is smaller: 1 or g?
g
Let p = 1091 + -1723. Let c = p - -631. Which is bigger: c or -181?
c
Let w(k) = 5*k + 2. Let f be w(5). Suppose -118 = -4*u - 0*u + 2*y, 0 = u - 3*y - f. Let z be (14/(-7) + -2)*u/8. Which is greater: -1/2 or z?
-1/2
Let k be (-98)/490 - 2/((-120)/(-3188)). Suppose -f - 2*w - 50 = -4*w, 0 = -2*w - 4. Is k less than or equal to f?
False
Suppose -45750 = -1511*y + 1536*y. Is y not equal to -1830?
False
Let g = -3464.2 - -3467. Is g greater than or equal to 18/5?
False
Let x = 1898 - 1896. Do 7 and x have the same value?
False
Suppose 45 = 5*q - 0*q. Let s(a) = 7*a - 17. Let c(j) = j. Let y(b) = 5*c(b) - s(b). Let m be y(q). Which is smaller: m or 2/11?
m
Let w be 243/36 + (-21)/28. Which is bigger: 278 or w?
278
Suppose 13*i = 9*i. Suppose 2*f = 6*f - 2*o, 4*f - o = i. Suppose f = 6*x - 5*x. Is x <= 5/11?
True
Let b be (-1 + 6/5)*-2 + (-2233936)/(-1290). Is 1730 greater than or equal to b?
False
Let o be (420/36 + 15)/((-22)/(-3)). Suppose 4*k = -k - 5*t + 55, 5*k - 51 = -3*t. Suppose -2*a = 0, 0*g - 3*a = -3*g + k. Which is smaller: o or g?
g
Suppose -6*v + v = -80. Let t = 548 + -541. Which is greater: t or v?
v
Let z be (-165)/1485*(1 + -4). Suppose 0 = -2*d + 23 + 113. Which is bigger: z or d?
d
Let h be 3/4 + (-3234)/4248. Let w = h + 40/59. Which is smaller: w or -2/5?
-2/5
Let t = -401 + 760. Let m = t + -359. Which is greater: 8/5 or m?
8/5
Let r(v) = 55*v**2 + v**3 - 1092*v + 56 + 532*v + 616*v. Let d be r(-54). Is -54 != d?
True
Let d = 16216 + -81696/5. Let j = -32678/265 - d. Which is smaller: 0 or j?
j
Let d = -720 + 716. Let a be ((-1)/d - (-259)/148)/2. Which is smaller: a or -1/403?
-1/403
Let i(l) = 4*l**2 - 209*l + 105. Let h be i(53). Which is greater: h or 262?
h
Suppose -810 = 7*d - 22*d. Let q be 3*(-26)/d - 1. Which is smaller: -2 or q?
q
Suppose -o + 2*a + 19 = 0, 19*o - 24*o + a = -59. Suppose 0 = -4*d + o*s - 10*s + 825, 3*s + 630 = 3*d. Do 203 and d have different values?
True
Let y = -5591 + 5540. Let d be (18/(-10))/((-8)/(-220)). Is y not equal to d?
True
Let i be 9642/10*10/36. Which is greater: 267 or i?
i
Let d(k) = k**2 - 11*k - 4. Let n be d(11). Let v = n - -14. Let r be (-16)/v - 2/5. Are 4 and r equal?
False
Let m be 2910/4*(-28)/(-21) + -5. Let x be (-6)/45*5*(-3)/m. Is -1 greater than or equal to x?
False
Let q = 6 + -1. Suppose -q*g - v + 3*v = -32, -4 = 4*v. Suppose 5*u + 24 = 2*f, 4 = 4*f + u - 0*u. Is g at least as big as f?
True
Suppose 32 = -3*g - s, -4*g + 4*s + 47 = -7*g. Let z(w) = -w**2 - 4*w + 5. Let l be z(-5). Let p be l + g/3*1/(-1). Is p equal to -2?
False
Let b be (-6)/(-3)*((-40)/(-48) + 22/(-3)). Let h(v) be the first derivative of v**2/2 - v + 1. Let s be h(-1). Is b greater than s?
False
Let n = 212 + -206.68. Let a = 4.32 - n. Which is greater: a or -33?
a
Let m = 1249777/5 + -248964. Is m less than 992?
True
Let f = 0.659 - 0.804. Is f not equal to -2?
True
Let q be 7/(-2)*36/(-51). Let y(c) = -51*c - 101. Let z be y(-2). Which is greater: q or z?
q
Let a be (39600/513)/22 - 4. Which is smaller: 1 or a?
a
Let r be 1*(5 + 3 - 5). Let s be 0 - -1 - (-142 + r). Is 140 less than or equal to s?
True
Let h be 24/(-16)*(1 + (-15)/9). Suppose 7*j - 1 = -h. Let v = 43/5 - 893/105. Is v <= j?
False
Let p(l) = -25*l - 1. Let r be p(2). Let h(x) = -x**3 - 5*x**2 - 2*x + 5. Let i be h(-4). Is i bigger than r?
True
Let d = 160 - 12. Suppose -d*m - 368 = -140*m. Which is smaller: -89/2 or m?
m
Suppose 0 = -9*c + 5*c - 3*w - 2348, -2928 = 5*c + 2*w. Let q = 712 + c. Which is smaller: 130 or q?
q
Let q = -65/14 - -36/7. Let g(i) be the first derivative of i**4/4 + 7*i**3/3 - 9*i**2/2 - 7*i - 14. Let v be g(-8). Is v < q?
False
Suppose -5*z + 4*y = 21, 8*z + 25*y - 8 = 21*y. Which is bigger: -1/7180 or z?
-1/7180
Suppose z + 13 = -5*v - 85, z = 3*v - 58. Let q = z - -75. Suppose -3*f + l + q*l = -15, 3*f - 17 = 4*l. Do 5 and f have the same value?
False
Suppose -q + 22 = -3*g, 4*q + 0*g = 4*g + 88. Let i be (q/77 - 37/7)*-3. Suppose 4*h + l - 5*l = 76, -5*h - 3*l = -63. Is h <= i?
True
Let p(t) = -2*t**2 - 27*t + 9. Let f be p(-14). Let r be 49/7 - (3 - f). Is r > -12/59?
False
Let d(g) = -3*g**3 - g**2 - g - 2. Suppose 3*r = 15, 0*p + 5*r = -5*p + 25. Let c be d(p). Is -5 less than or equal to c?
True
Let o = -1250722831/168165 + 554/18685. Let l = o + 7445. Is 8 >= l?
True
Suppose 44*b = -28 + 28. Let s = 32138/1159867 - -4/5497. Which is bigger: s or b?
s
Let j be 108/12 - (-5 + 24). Which is smaller: j or -138/13?
-138/13
Let u = -23225 + 22920. Is -304 >= u?
True
Suppose -996 - 8754 = -6*a. Let d be 30/26 - 1 - (-400)/a. Suppose -5*m - 26 = -3*j, 3*m = 2*j + j - 18. Which is bigger: d or m?
d
Let t = -12 - -13. Let a = -78 + 79. Let p be -16 + 0/(-4 - a). Is t > p?
True
Let n be ((60/(-24))/(50/480))/((-3)/32). Is -25 at least n?
False
Let c = -19253 - -9507. Is c smaller than -9746?
False
Let h(j) = 7*j - 36. Let l(m) = 14 + 15*m - 54 - 31. Let a(n) = 5*h(n) - 2*l(n). Let t be a(9). Which is bigger: 5 or t?
t
Suppose -4*y + 733*a - 2796 = 730*a, 3*y - 4*a = -2097. Is y greater than -694?
False
Let o be -1 + 1 + (6 - -3). Suppose -o = -7*k + 19. Suppose r = -5*i + 12, | {
"pile_set_name": "DM Mathematics"
} |
Let d(j) = 5*j**2 + 172*j + 1465. What are the prime factors of d(-60)?
5, 31, 59
Let m be 1/(-2) + 486050/100. Suppose -4752 = -6*i + m. What are the prime factors of i?
2, 3, 89
List the prime factors of 11773 - (-13 + 22 + -6).
2, 5, 11, 107
Let w = -199 - -227. Suppose -9*z + 4292 = w*z. List the prime factors of z.
2, 29
Suppose 110*a - 10*a = 675300. What are the prime factors of a?
3, 2251
Let x(p) = -310 + 380 - 5*p - p**2 - 5*p. List the prime factors of x(0).
2, 5, 7
Let g(s) = -2*s**3 + 11*s**2 + 5. Let r(x) = -x**3 + 6*x**2 - x + 8. Let t be r(6). Let y = t + 3. List the prime factors of g(y).
2, 3, 5
Let b = 4953 + -4949. Let k(f) be the first derivative of f**2/2 + 20*f + 1. List the prime factors of k(b).
2, 3
Let h = 213 + -208. Suppose 0 = 3*f + b - 3084 - 1595, -h*f - 2*b = -7800. List the prime factors of f.
2, 19, 41
Let v(a) = -34*a**3 - 15*a**2 - 52*a - 161. List the prime factors of v(-5).
2, 1987
Suppose -10*r = -45 - 35. Suppose 64 = -7*b + r*b. What are the prime factors of (b/10)/(22/5 - 4)?
2
Let a(i) = 444*i + 414. What are the prime factors of a(2)?
2, 3, 7, 31
Let u = 26834 + -18740. What are the prime factors of u?
2, 3, 19, 71
What are the prime factors of ((-27336)/(-32))/((-51)/(-272))?
2, 17, 67
Suppose 12*u - 4*u + 8 = 0. What are the prime factors of (3 - 5 - 405)/u?
11, 37
Let t be (4*22)/(-3 + 2). Suppose -c + 5*w + 176 = 0, 35*c + 192 = 36*c + 3*w. Let p = t + c. What are the prime factors of p?
2, 7
Let n(f) = 5*f - 44. Suppose -4*j = 3*b - 7*b - 52, -4*b - 12 = 0. Let i be n(j). Suppose 972 = i*h + 204. What are the prime factors of h?
2
Let j = -9394 + 11663. List the prime factors of j.
2269
Suppose 13 = w - 4*z, 14*w - 3*z = 11*w + 12. What are the prime factors of (w + -5*3)/((-51)/4539)?
2, 7, 89
Let p = -40 - -44. Let r(j) = -8*j**2 + 18*j + 6. Let m(w) = 7*w**2 - 18*w - 5. Let i(n) = p*m(n) + 3*r(n). What are the prime factors of i(8)?
2, 5, 11
Suppose d - 4890 = 874. What are the prime factors of d?
2, 11, 131
Let q(r) = -r**3 + 5*r + 4. Let c be q(-2). Suppose d = o, d + d = c. What are the prime factors of o - (-20 - (3 - 5))?
19
Let l(k) = -k**2 + k + 80. Let z be l(0). Suppose -4*m = -0*m + z. Let g = m - -30. What are the prime factors of g?
2, 5
Let c be (-2 - -5)*((-16)/12 + 2). Let l(a) = c*a**2 - 2 + 2*a - a - 25*a**3 - 234*a**3 + 1. List the prime factors of l(-1).
7, 37
Let l(j) = -j - 4. Let b be l(-12). Let n(c) = 0 + 3 + 93*c**2 + 8 + b*c - 92*c**2. What are the prime factors of n(-11)?
2, 11
What are the prime factors of 8*17190/72*38?
2, 5, 19, 191
Let i(a) be the first derivative of 11*a**3/3 + 3*a**2/2 + 2*a + 8. Let t be i(2). List the prime factors of 3/(4/(t/3)).
13
Let a = 224 - 230. List the prime factors of -2*a/(-4) - (-23452)/52.
2, 7
Let g = -4782 + 9428. List the prime factors of g.
2, 23, 101
Let v be -4*(-4)/32*5462 - 1. What are the prime factors of -2 - (1 - v/7)?
3, 43
Let n = 1222 + 279. What are the prime factors of n?
19, 79
Suppose -4*o - 2*k - 546 = 0, -2*k = 7*o - 6*o + 132. Let n = 121 - o. List the prime factors of n.
7, 37
What are the prime factors of ((-14864)/14)/(58/(-609))?
2, 3, 929
Let p(t) = -24*t**2 - 8*t - 65. Let c be p(-6). Let x = -373 - c. List the prime factors of x.
2, 127
Let n(z) = z**3 - 6*z**2 - 11*z + 16. Let q be n(7). Let i = 14 + q. What are the prime factors of (i - 0) + (-13 - -56)?
3, 5
Suppose 6*h = 11*h - 25. Suppose -2*u + h = -5, -3*n - 4*u + 170 = 0. Suppose 5*s = -2*b + 250 + 60, -2*b - n = -s. List the prime factors of s.
2, 3, 5
Let i = 19 - 29. Let h be ((-108)/15)/(-2) - 4/i. Suppose 0 = 5*p + h*l - 631, l - 125 = -p - l. List the prime factors of p.
127
Suppose -n = i - 2*i + 15, 3*i - 49 = 4*n. Suppose 8*q = i*q - 222. What are the prime factors of q?
2, 37
Let g(l) be the first derivative of 4*l**3/3 - 11*l**2/2 + 297*l + 103. What are the prime factors of g(12)?
3, 13, 19
Suppose 33*p - 5*l - 235 = 38*p, 5*l = -4*p - 189. Let f be (0 - 1)*(-1 + -66). Let a = f - p. List the prime factors of a.
113
Suppose -6*c + 5*d = -2*c - 27910, -3*d - 34894 = -5*c. What are the prime factors of c?
2, 5, 349
Suppose -23 = -5*j + 27. Let t(b) = 2*b + 67. Let d be t(-17). Let z = j + d. List the prime factors of z.
43
Let b = 544 - 544. Suppose b = -y + 551 - 83. List the prime factors of y.
2, 3, 13
Let w = 12743 + -3662. What are the prime factors of w?
3, 1009
Suppose -5*k + 10 = -2*u - 14, 3*u - 2*k + 14 = 0. Let y be (-2)/6*(2628/u)/6. Suppose -6*x = -5*x - y. What are the prime factors of x?
73
Suppose 4*v - 2 = 10. Let f be -1 + 2 + v - (-6)/2. Suppose -18*o + 2838 = -f*o. What are the prime factors of o?
2, 3, 43
Let p(l) = 2*l**2 - 58*l + 9. Let i be p(32). Suppose -5*w + 651 = -3*o - i, 0 = -3*w - 5*o + 484. What are the prime factors of w?
2, 3, 7
Let s(z) = 427*z + 175. Let n be s(6). Suppose -3*f + 107 + 1548 = -4*h, 5*f + 4*h - n = 0. List the prime factors of f.
3, 61
Let c(l) = 6*l**2 + 8*l + 1. Let u be c(-4). Let t = u - 72. List the prime factors of (-1917)/t - ((-24)/21 - -1).
2, 137
Let j(x) = 1. Let r(v) = v**2 - 5*v - 31. Let l(y) = -6*j(y) + r(y). What are the prime factors of l(17)?
167
Let k = -28380 + 40588. List the prime factors of k.
2, 7, 109
Let d be 2/(-7) - (-1770)/21. Let q = 171 + d. Suppose -2*a = -7*a + 2*i + q, 0 = 5*a - i - 260. List the prime factors of a.
53
Let h be 10 + 6/6 + -2. Let l(x) = 54*x - 7. List the prime factors of l(h).
479
What are the prime factors of (-7253176)/(-392) - 22/2?
2, 3, 23, 67
Let d(r) be the second derivative of -76*r**3/3 - r**2 + r. Let b be d(-2). List the prime factors of (-2)/3 + b/3 + 2.
2, 3, 17
Suppose -d + 271 = -m, 5*d - 3*m - 1365 = -0*m. Suppose 6*y - d = 660. List the prime factors of y.
2, 3, 13
List the prime factors of 34/((-7 - (-286480)/40928)/((-1)/4)).
17, 1279
Suppose 4 = k - 0*k. Suppose 10500 = -55*l + 62*l. Suppose 0 = k*u - 9*u + l. List the prime factors of u.
2, 3, 5
Let y be (-268)/(-22) + 8/(-44). Let f(v) = -10 + 2 - y*v + 9 + v**2 + 10. What are the prime factors of f(19)?
2, 3
Suppose 127810 = 3*s - 7*h + 25712, -2*s + 68037 = h. List the prime factors of s.
13, 2617
Let m = 33542 + -16701. What are the prime factors of m?
11, 1531
Let a = 283 - 281. Suppose 2*c - 4 = -2*c, -a*c - 1178 = -5*w. List the prime factors of w.
2, 59
Let n = 10629 - 7342. List the prime factors of n.
19, 173
Let g = 25136 - -10419. What are the prime factors of g?
5, 13, 547
Suppose -70 = -j - 13*j. List the prime factors of ((-566)/(-3))/(-4*j/(-90)).
3, 283
Suppose 3*b = -5*v - 0 - 1, 0 = -2*b + 2*v + 10. Let m be (2/b)/(8/84). Suppose 40 = m*w - 121. What are the prime factors of w?
23
Let k(x) = -x**2 - 12*x + 15. Let r be k(-13). Suppose -5*a = r*h + 3*h + 65, -a = -4*h + 3. Let u(q) = 2*q + 59. List the prime factors of u(a).
37
What are the prime factors of 4*((-200)/(-250) - (-9466)/5)?
2, 947
Let v be (9/6)/((-6)/(-4)) + 891. Let w = v - 560. List the prime factors of w.
2, 83
Let k be (7 - 2)*(-2)/(4/(-18)). Let w = -95 - -169. Let u = w - k. What are the prime factors of u?
29
Let n = 174 - -8. Let c = 410 - n. Suppose 3*f - c - 471 = 0. List the prime factors of f.
233
Suppose -20*y - 238*y = -62*y - 1567216. List the prime factors of y.
2, 1999
Let l(s) = -5385*s - 1544. List the prime factors of l(-2).
2, 7, 659
What are the prime factors of 8/(-14) - (13878630/(-238) + 31)?
2, 7, 23, 181
Let k be 27*(-5 + 636) - (2 + -2). What are the prime factors of k/108 - (-1 + 6/8)?
2, 79
Let k(z) = -22*z + 43. Let f(d) = -285*d + 558. Let x(l) = 4*f(l) - 54*k(l). What are the prime factors of x(14)?
2, 3, 97
Suppose 202*q - 44275 = 191*q. List the prime factors of q.
5, 7, 23
Let n(b) = 3*b**2 - 23*b + 10. Let o be n(5). What are the prime factors of -1 - (-5)/(o/(-1086))?
2, 3, 5
Suppose 0 = 16*g + 12*g - 41720. Let d = g + -159. List the prime factors of d.
11
Suppose 18414*f + 328265 = 18421*f. List the prime factors of f.
5, 83, 113
Suppose -14560 + 1545 = -5*t. Let p = -1434 + t. Suppose 2*q = s + 472, 0 = 5*q + 3*s - 0*s - p. What are the prime factors of q?
5, 47
Let o be ((-17272)/(-48) - -5) + (-2)/(-12). Suppose 0 = -8*v + 267 + o. List the prime factors of v.
79
Let o(c) = -18*c + 10. Let w(k) = -k**3 + 2*k**2 + k. Let z be w(2 | {
"pile_set_name": "DM Mathematics"
} |
= 0. Calculate h.
-1, -2/3, 0
Let x(d) be the second derivative of 2*d**7/105 + 2*d**6/15 + 3*d**5/25 - d**4/3 - 8*d**3/15 + 6*d. Determine p, given that x(p) = 0.
-4, -1, 0, 1
Let o(s) be the second derivative of 1/45*s**6 - 1/36*s**3 + 0*s**2 - 1/18*s**4 + 0 + 3*s + 1/120*s**5. Find p, given that o(p) = 0.
-1, -1/4, 0, 1
Suppose -2 = -x + 2*x. Let t be x/2*(-3)/9. Solve 2/3*b**2 - 1/3*b - 2/3 + t*b**3 = 0.
-2, -1, 1
Let t be 1*-1 - (-14)/7. Let i(m) = 2*m**2 + 3*m - t + m**2 - m - 1. Let r(y) = 15*y**2 + 11*y - 11. Let w(h) = 11*i(h) - 2*r(h). Factor w(f).
3*f**2
Let i(f) = -4*f**3 + 4*f**2 + 9*f - 4. Let g(c) = 4*c**3 - 4*c**2 - 8*c + 4. Let k(d) = 5*g(d) + 4*i(d). Find m, given that k(m) = 0.
-1, 1
Let m(b) = b**2 + 2*b + 2. Let r = 3 + -5. Let j be m(r). Let 8/5*f + 12/5*f**j + 2/5*f**4 + 8/5*f**3 + 2/5 = 0. Calculate f.
-1
Let w = 13572/385 - 246/7. Let z(b) be the first derivative of -4/11*b**3 - w*b**5 + 1 + 4/11*b**4 + 2/11*b + 0*b**2. Factor z(o).
-2*(o - 1)**3*(3*o + 1)/11
Factor 0 - 2/7*k + 2/7*k**2.
2*k*(k - 1)/7
Suppose 2*o = 3 + 1. Let c(g) be the second derivative of 1/135*g**6 - 1/90*g**5 + 0*g**o - 1/54*g**4 + 1/189*g**7 - 2*g + 0 + 0*g**3. Factor c(l).
2*l**2*(l - 1)*(l + 1)**2/9
Determine f so that 3/4*f**2 + 1/2*f - 1/4 = 0.
-1, 1/3
Factor 0*t - 5*t - 3*t**3 - 15*t**2 - 12 - 19*t.
-3*(t + 1)*(t + 2)**2
Let o(n) be the first derivative of -n**4/18 + n**3/9 + 9*n + 3. Let y(m) be the first derivative of o(m). Factor y(h).
-2*h*(h - 1)/3
Let q be 4/12 - (-3292)/(-30). Let k = 111 + q. Factor 16/5*p + 2/5*p**3 - k - 2*p**2.
2*(p - 2)**2*(p - 1)/5
Let o = 71 - 353/5. Factor 8/5 + 0*a - o*a**2.
-2*(a - 2)*(a + 2)/5
Let d(y) be the first derivative of y**7/105 - y**6/30 + y**4/6 - y**3/3 - 11*y**2/2 + 8. Let a(i) be the second derivative of d(i). Let a(m) = 0. What is m?
-1, 1
What is v in 5838*v - 5838*v + 4*v**2 - 8*v**3 - 5*v**4 = 0?
-2, 0, 2/5
Solve 0 + 1/3*s**5 - s**3 - 1/3*s**2 + 1/3*s**4 + 2/3*s = 0.
-2, -1, 0, 1
Solve 26 + 2*v + 7*v**3 - 2*v**3 - 26 - 7*v**2 = 0.
0, 2/5, 1
Determine p, given that 42/13*p**2 + 10*p + 4/13*p**4 + 50/13 - 34/13*p**3 = 0.
-1, -1/2, 5
Let c(l) be the second derivative of -4*l**7/21 - l**6/3 + 3*l**5/10 + 5*l**4/6 + l**3/3 - 5*l. Determine w, given that c(w) = 0.
-1, -1/4, 0, 1
Let p(k) = -k**3 - k. Let c(h) = 10*h**3 - 10*h**2 - 8*h. Let y(q) = -q + 2. Let a be y(6). Let o(v) = a*p(v) + c(v). Factor o(n).
2*n*(n - 1)*(7*n + 2)
Let f be 0*(-2)/4*14/42. Let n be 4/(-2)*2/(-10). Factor -n*z + f + 2/5*z**2.
2*z*(z - 1)/5
Let w(f) = f. Let p(s) = s**3 - s**2 + 8*s + 1. Suppose d = -2 + 4. Let c(q) = d*p(q) - 18*w(q). Factor c(r).
2*(r - 1)**2*(r + 1)
Let v = 2 + -2. Let q be (-2 - (v + 0))*-1. Find r, given that -r + 4*r**q - r + 2 + r**3 + 7*r = 0.
-2, -1
Let d be -4*((-30)/(-8))/5. Let o be 2*(-1)/(2 + d). Factor -6*t**2 + 0 + 5*t**o + 1.
-(t - 1)*(t + 1)
Let j(k) be the second derivative of -k**5/5 + 4*k**4/9 - 2*k**3/9 - 11*k. Solve j(t) = 0 for t.
0, 1/3, 1
Let h(x) be the first derivative of -x**7/945 + x**6/540 + x**5/270 - x**4/108 + x**2 - 3. Let j(q) be the second derivative of h(q). Solve j(y) = 0 for y.
-1, 0, 1
Let g(d) be the first derivative of -2*d**5/5 + 3*d**4/4 + d**3/3 - 3*d**2/2 + d + 3. Factor g(f).
-(f - 1)**2*(f + 1)*(2*f - 1)
Let x(q) be the first derivative of -3 + 0*q**3 + 2/15*q**5 + 0*q**2 + 1/9*q**6 + 0*q**4 + 0*q. Factor x(s).
2*s**4*(s + 1)/3
Let i(s) be the third derivative of s**8/26880 + s**7/5040 + s**6/2880 + s**4/24 + 4*s**2. Let b(k) be the second derivative of i(k). Solve b(v) = 0.
-1, 0
Suppose n - 5*n + 8 = 0. What is f in 3*f**2 + 3*f**3 + 4*f**2 - 3*f - 3 - 4*f**n = 0?
-1, 1
Let s(u) = -u**3 + u - 1. Let l(a) = 6*a**3 - 6*a + 4. Let m(i) = -l(i) - 4*s(i). Factor m(b).
-2*b*(b - 1)*(b + 1)
Let 4*p**4 - 9*p**2 + p**2 - 26 + 30 = 0. What is p?
-1, 1
Let i = -59/7 + 323/35. Solve i - 14/5*v + 2*v**2 = 0.
2/5, 1
Determine t, given that -1/2*t + 1/4*t**4 - 3/4*t**2 + 0 + 0*t**3 = 0.
-1, 0, 2
Let i = -2 + 9. Let a = -8 + 8. Solve -4*h**2 - 4 + h**3 + i*h**2 + a*h**2 = 0.
-2, 1
Factor -3/4*q**3 + 0 - 3/4*q**4 + 9*q + 6*q**2.
-3*q*(q - 3)*(q + 2)**2/4
Let -2/23*c**3 + 0 - 2/23*c - 4/23*c**2 = 0. What is c?
-1, 0
What is m in 1/4 - 1/4*m**2 + 0*m = 0?
-1, 1
Suppose 32 = 10*r + 6*r. Factor -2/5 + 4/5*h - 2/5*h**r.
-2*(h - 1)**2/5
Let n(c) be the second derivative of -16/21*c**3 - 5/42*c**4 - 4/7*c**2 + 5/14*c**5 + 0 - 3*c. Find v, given that n(v) = 0.
-2/5, 1
Let i(c) be the second derivative of c**5/20 + 3*c**4/20 - 17*c**3/30 + 3*c**2/10 - 9*c. Factor i(v).
(v - 1)*(v + 3)*(5*v - 1)/5
Factor 1/5*i**2 - 2/5*i + 1/5.
(i - 1)**2/5
Let j(o) be the second derivative of 0*o**3 - 1/20*o**5 + 0*o**2 + 0 - 4*o + 1/60*o**6 + 1/24*o**4. Solve j(c) = 0 for c.
0, 1
Let i(w) be the second derivative of w**6/60 + w**5/40 - w**4/24 - w**3/12 + 4*w. Factor i(c).
c*(c - 1)*(c + 1)**2/2
Let p(g) = -3*g. Let a(v) = -v**2 + 4*v + 1. Let u(i) = -3*a(i) - 4*p(i). Find n such that u(n) = 0.
-1, 1
Suppose 0 = z + 5*p - 7, -2*z + 5*p - 1 = -0. Factor -2 - 3*o**4 + 4*o**2 + 2 + 5*o**z + 6*o.
-3*o*(o - 2)*(o + 1)**2
Let u(a) = 2*a**3 + 0*a**2 + a**2 - a**4 - 3*a**3. Let p(z) = -12*z**4 + 7*z**2. Let g(c) = -p(c) + 5*u(c). Factor g(o).
o**2*(o - 1)*(7*o + 2)
Let h(s) be the first derivative of -s**6/480 + s**5/60 - s**4/24 - 5*s**2/2 + 5. Let v(m) be the second derivative of h(m). Factor v(p).
-p*(p - 2)**2/4
Let y = -14 - -20. Let a(d) be the second derivative of 3*d + 0 - 1/15*d**4 + 1/75*d**y - 1/25*d**5 + 1/5*d**2 + 1/105*d**7 + 1/15*d**3. Factor a(j).
2*(j - 1)**2*(j + 1)**3/5
Let d(x) = -3*x**4 + x**3 + 7*x**2 - 5*x - 5. Let y(u) = -2*u**4 + u**3 + 4*u**2 - 3*u - 3. Let i(m) = -3*d(m) + 5*y(m). Factor i(n).
-n**2*(n - 1)**2
Suppose -2/9*c**4 + 0*c**2 + 0 + 0*c**3 + 0*c = 0. Calculate c.
0
Let v = -91 - -96. Let a(x) be the first derivative of -2/9*x**3 - 4 - 1/6*x**4 + 2/15*x**v + 1/3*x**2 + 0*x. Factor a(j).
2*j*(j - 1)**2*(j + 1)/3
Suppose 68*p**5 - 8 - 33*p**5 - 31*p**5 + 36*p - 24*p**4 + 56*p**3 - 64*p**2 = 0. What is p?
1, 2
Let i = 192 - 1529/8. Let x(p) be the first derivative of 2*p**3 - 2 + 3/4*p**2 - p + i*p**4. Factor x(a).
(a + 1)**2*(7*a - 2)/2
Let 10/9*j**3 + 14/9*j - 4/9 - 2/9*j**4 - 2*j**2 = 0. What is j?
1, 2
Let h(d) be the third derivative of -d**5/60 + d**4/12 - d**3/6 - 4*d**2. Factor h(w).
-(w - 1)**2
Suppose -5*c - 53 = 37. Let w be 6/(-24)*16/c. Let -w*i**2 + 0 + 4/9*i = 0. Calculate i.
0, 2
Let c(d) = 5*d**2 - d + 6. Let a(v) = -11*v**2 + 2*v - 13. Let y(z) = -6*a(z) - 13*c(z). Find n, given that y(n) = 0.
-1, 0
Let j(n) be the third derivative of n**10/75600 - n**8/10080 + n**5/10 + 4*n**2. Let l(b) be the third derivative of j(b). What is g in l(g) = 0?
-1, 0, 1
Let f(k) be the third derivative of -k**6/480 - k**5/120 - k**4/96 - 9*k**2. Find a, given that f(a) = 0.
-1, 0
Let k(u) be the second derivative of -u**5/40 + u**4/12 - u**3/12 - 8*u. Determine d, given that k(d) = 0.
0, 1
Suppose -6*u = -3*w - 2*u + 21, -5*w + 30 = -5*u. Factor 0 + 0*y + 1/6*y**4 + 1/6*y**2 - 1/3*y**w.
y**2*(y - 1)**2/6
Let y(f) be the first derivative of -1/420*f**7 + 0*f + f**3 + 1 + 0*f**4 + 0*f**2 + 1/60*f**5 + 0*f**6. Let b(i) be the third derivative of y(i). Factor b(t).
-2*t*(t - 1)*(t + 1)
Let l(c) = -4 - 2*c + 4 - 1 - 5. Let b be l(-4). Factor 4*j**3 - 2*j**2 - b*j**3 - 4*j**3.
-2*j**2*(j + 1)
Let h(m) be the first derivative of m**4/36 - m**3/9 + m**2/6 + 4*m + 4. Let y(k) be the first derivative of h(k). Factor y(r).
(r - 1)**2/3
Let m(n) = -n**4 - n**3 + n**2 - 1. Let s(l) = -27*l**4 + 58*l**3 - 43*l**2 + 10*l - 2. Let h(k) = 2*m(k) - s(k). Solve h(v) = 0.
0, 2/5, 1
Find a, given that -1/3*a**2 + 2/3*a - 1/3 = 0.
1
What is v in 8 + 4*v + 1/2*v**2 = 0?
-4
Let k(d) = 6*d**4 - 13*d**3 + 2*d**2 + 3*d. Let r(l) = l**4 + l**3 + l**2 - l. Let m(o) = -4*k(o) - 4*r(o). Factor m(q).
-4*q*(q - 1)**2*(7*q + 2)
Let f(l) be the third derivative of l**5/60 + l**4/3 - 3*l**3/2 + l**2 - 3. Let f(o) = 0. What is o?
-9, 1
Suppose 10 = -4*f + 34. Let v(a) be the third derivative of 0 + 0*a**4 - 1/420*a**f + 0*a + 1/1176*a**8 + 0*a**3 - 1/210*a**5 + 1/735*a**7 - a**2. Factor v(x).
2*x**2*(x - 1)*(x + 1)**2/7
Let r = 0 - -2. Let h be ((-27)/(-6) + -2)*r. Factor 1 - c**3 + 2 - 3 - 5*c**4 | {
"pile_set_name": "DM Mathematics"
} |
r when 40/15 + -4 + 22/s is divided by 5.
1
Let a = 557 + -537. What is the remainder when 119 is divided by a?
19
Let t be ((-1)/1)/(12/(-36)). Suppose 150 = 4*v - s - 31, s = t*v - 136. What is the remainder when 132 is divided by v?
42
Suppose -2*n + 170 = 2*o, 4*n + 3*o - 452 + 107 = 0. Let w = 115 - n. What is the remainder when 46 is divided by w?
21
Let k(y) be the third derivative of -y**4/12 + 7*y**3/6 + 13*y**2. What is the remainder when 27 is divided by k(0)?
6
Suppose 2*h - 15 = -7. Suppose -13*i - h*i = -1802. What is the remainder when i is divided by 36?
34
Suppose -5 = -x - 3. Suppose -3*c + 4*m = -x*c + 50, 3*c = 4*m - 142. What is the remainder when (-10)/4*(c + 0) is divided by 29?
28
Let c = 241 - 231. What is the remainder when 199 is divided by c?
9
Suppose 2250 = 390*z - 381*z. What is the remainder when z is divided by 18?
16
Suppose 56 = 2*f + 2*f. Suppose 106 = -2*v + 4*l, 0 = v - l + 3*l + 73. Let z = v + 117. Calculate the remainder when z is divided by f.
12
Let j = 5 - -16. Suppose 6 = -w + 30. Suppose -11*x + w = -7*x. Calculate the remainder when j is divided by x.
3
Suppose 2*p + 5*h - 19 = 0, -2*h + 5*h = 4*p - 25. Suppose -5*z + 2 = p. Let u(y) = -19*y**3 + 1. Calculate the remainder when 38 is divided by u(z).
18
Suppose 0 = -11*r - 9 - 101. Let w = r - -23. What is the remainder when 114 is divided by w?
10
Calculate the remainder when 202 is divided by 2 - (-59 + -3 + -2).
4
Suppose -4*a - 44 = -2*z, 5*a - 12 = -z + 3. What is the remainder when 177 is divided by z?
17
Suppose -6*b = -1582 + 34. What is the remainder when (2 - 4)/(((-12)/b)/2) is divided by 29?
28
Suppose -a + 13 = -i, 41 = -5*i + 2*a - 39. Let p = 36 - i. Calculate the remainder when p is divided by 15.
9
Suppose 3*r = -4*r + 14. Let g(h) = h + 7. Let o be g(-5). Suppose 10 = o*i - 2. What is the remainder when i is divided by r?
0
Suppose 1071 - 891 = 5*f. What is the remainder when f is divided by 19?
17
Suppose -8*t + 4*j = -5*t - 38, 0 = -2*t + 4*j + 32. What is the remainder when 57 is divided by t?
3
What is the remainder when 3 + -17*(-3)/3 is divided by 3*2/12*(30 + -8)?
9
Suppose 0 = 3*k - 2*k - 6. What is the remainder when k/(-6)*-1*(33 + -2) is divided by ((-16)/(-5))/(3/15)?
15
Suppose 4*j = -0*j - v + 318, 2*j = -5*v + 150. Suppose 3 = -2*f + 13, 0 = -2*o - 2*f + 52. What is the remainder when j is divided by o?
17
Let z(l) = l**2 + l + 4. Let h be z(-4). Let n = h - -14. Calculate the remainder when n is divided by 16.
14
Suppose -26 = -2*a - 2*h, -h + 62 = 4*a + h. What is the remainder when 30 is divided by (-42)/(-4) + (a/(-12) - -2)?
8
Let a = -66 - -138. Suppose -4*u = 4*y + y - 95, -a = -4*y - 4*u. What is the remainder when 136 is divided by y?
21
Suppose -4*g - 17 = j, 3*g + 34 = 3*j - 2*g. Suppose c + 138 = j*c. Let d = 273 + -255. What is the remainder when c is divided by d?
15
Let r(u) = -u - 3. Let z be r(-6). Let k be 0/((-40)/8 - -7). Suppose 2*v = d + 88, z*v + d = -k*d + 137. Calculate the remainder when v is divided by 23.
22
Let f = 83 - 131. Let q be (0 + -1)/(0 - 1). Calculate the remainder when ((-2)/3)/(q/f) is divided by 11.
10
Suppose -5*h + 0*h + 70 = 0. What is the remainder when (-11)/(-13) + -1 - 1527/(-39) is divided by h?
11
Suppose -5*h + 4*h + 97 = -4*a, 5*h - 449 = 2*a. What is the remainder when (-3)/(((-30)/(-4))/5) + h is divided by 44?
43
Suppose 0*g = -5*g + 20. Suppose c = g*c. Suppose 4*y - 8 = -2*l, c = 3*l - y + 5*y - 14. Calculate the remainder when 23 is divided by l.
5
Let h(o) = -o**2 - 9*o - 9. Let q be h(-8). Let c = q + 1. Let p(k) = -k + 4. Calculate the remainder when 6 is divided by p(c).
2
Suppose 5*a - k = 141, -a - k + 21 = -3*k. Calculate the remainder when 140 is divided by a.
24
Suppose -2*k = -4*t + 14, 13 = k + 2*t - 0*t. Suppose k*r - 12 = -3. Calculate the remainder when 20 is divided by r.
2
Suppose -2*k - 2 = -2*t, 4*t - 9*t = 4*k - 23. Suppose t*y = b + 202, 5*y = -4*b + 112 + 253. Let r = -9 + 27. What is the remainder when y is divided by r?
15
Suppose 928*l - 929*l + 22 = 0. Calculate the remainder when l is divided by 7.
1
Suppose 0 = 5*v + 3*z - 100, -4*v - 2*z + 80 = -3*z. Suppose 3*o - v = -5. Calculate the remainder when -4 + o - (3 + -25) is divided by 8.
7
Suppose 9*w = 20*w - 231. What is the remainder when (-2 + -3 + 13)*10 is divided by w?
17
Let u(q) = -4*q**2 - 2*q - 21. Let n be u(-10). Calculate the remainder when n/(-6) + 3/18 is divided by 17.
16
Let n = -12 - -16. Let v(k) = 2*k**2 - 5*k + 8. Calculate the remainder when v(n) is divided by 7.
6
Let z(c) = -6*c + 2. Let g be z(5). Let n(j) = 12*j**2 - 2*j + 1. Calculate the remainder when n(1) is divided by (-1)/4 - 119/g.
3
Calculate the remainder when 2 + (10 + -7 - (-54)/1) is divided by 16.
11
Let i be (-3)/5 - (-96)/10. Let r be 44/99*i/2. Suppose -r*j + 18 = 2. Calculate the remainder when 27 is divided by j.
3
Suppose p - 2*u - 1 = 0, -3*p + 27 = -0*p + 2*u. Suppose -5*o - 3*s = -84, -p*s = 4*o - 6*s - 70. Calculate the remainder when o is divided by 5.
3
Suppose 2*g - 25 + 1 = 0. Let t = g - -8. Calculate the remainder when t is divided by 6.
2
Let y = -229 - -391. Calculate the remainder when y is divided by 7/(-84)*-8 - 301/(-21).
12
Suppose 2*q - 9 + 1 = 0. Suppose 6*i + 7 = 5*l + 3*i, 0 = 2*l - q*i. What is the remainder when 4 is divided by l?
0
Let k(q) = -8*q**3 - q - 2. Let l be k(-2). Let v be 9/(-6)*l/(-3). Calculate the remainder when 38 is divided by (5/2)/(8/v).
8
Suppose -5*f - 3*o = -4 + 1, 3*f - 2*o + 2 = 0. Suppose -4 + f = -n, -i - n + 64 = 0. Calculate the remainder when i is divided by 21.
18
Suppose 5*h = -3*z + 299, 5*z + 4*h - 404 = z. What is the remainder when z is divided by 37?
29
Let o(t) = t**2 - 5*t - 15. Suppose 0 = -j - j - 2. Let d be j/(-3) - (-76)/(-12). Calculate the remainder when o(d) is divided by 13.
12
Suppose -21 + 0 = -7*i. Suppose -i*u - 2*h + 240 = 61, 2*h = 5*u - 325. What is the remainder when u is divided by 12?
3
Suppose 7*t + 324 = 13*t. Suppose t*n - 52*n = 126. What is the remainder when n is divided by 16?
15
Let y = 454 - 435. Calculate the remainder when 340 is divided by y.
17
Let j = -9451 + 9459. Calculate the remainder when j is divided by (3/(-5))/(2/(-10)).
2
Let z = 1289 - 1085. What is the remainder when z is divided by 69?
66
Let t = -47 + 103. Suppose -133 = -4*r - 5*z, -2*r - r = -5*z - t. What is the remainder when r is divided by 5?
2
Suppose 3*s = 9*s - 186. Let c(h) = 2*h**2. What is the remainder when s is divided by c(2)?
7
Suppose 10 = 2*k + 30. Let s = 18 + k. Let f(j) = -10*j - 147. What is the remainder when s is divided by f(-15)?
2
Let t(k) = k**2 + 3*k + 2. Let f be t(-1). Let v = -9 - -11. Suppose -5*d = i - 12 - 6, -i - v*d + 12 = f. What is the remainder when 21 is divided by i?
5
Let x be (-1)/(-2)*(-5 - -25). Suppose -4*l + 4*k + 20 = 0, -3*k = 2 + x. What is the remainder when (-2)/(-4)*(-1 + 3) is divided by l?
0
Suppose -2*p - 1 = -5, 5*p + 20 = -2*y. What is the remainder when 73 is divided by (-1)/((8/y)/8)?
13
Let n(a) = a**3 - 4*a**2 + 13*a - 46. What is the remainder when n(11) is divided by 50?
44
Let u(l) = 16*l + 8. Suppose 0 = -5*f - 0 + 105. Calculate the remainder when f is divided by u(0).
5
Let y = -62 + 98. Let n(b) = -b + 8. What is the remainder when -1 + 764/y - 12/54 is divided by n(0)?
4
Suppose 88 = 5*i - 12. Suppose -4*n + i = 3*j, -4*n - 16 = -3*j - 6*n. Calculate the remainder when 6 is divided by j.
2
Let t be 1/2 + 158/(-4). Let x = t - -55. What is the remainder when 46 is divided by x?
14
Let j = 111 - 162. Let l = j - -87. What is the remainder when 214 is divided by l?
34
Let o be ((-4)/8*-1)/(2/24). Suppose -o*c - 8 = -44. Calculate the remainder when 27 is divided by c.
3
Let h(s) be the first derivative of -17*s**2/2 - 2*s + 12. What is the remainder when 57 is divided by h(-1)?
12
Let r(s) = -277*s**2 + s + 1. Let b be r(2). Calculate the remainder when b/(-13)*(-4)/(-10) is divided by 9.
7
Suppose -2*l + 81 = l + 3*j, 5*l - j = 123. Let r = 694 - 622. Calculate the remainder when r is divided by l.
22
Let d = -254 - -113. Calculate the remainder when (0 + -2)*d/6 is divided by 16.
15
Suppose -2*k - 4 = 0, -2*o + 3*o = -2*k + 28. Suppose c - 5*n = -3*n + 18, | {
"pile_set_name": "DM Mathematics"
} |
+ 136*y**3 + y**2 + 80 wrt y?
408*y**2
Let y(k) = -75*k - 61. Let b(a) = 37*a + 30. Suppose p - 27 = -2*n, n + 4*p = 23 - 6. Let f(z) = n*b(z) + 6*y(z). Differentiate f(s) with respect to s.
31
Find the third derivative of 22*o**5 - 18*o**2 - 19*o**2 - 44*o**5 - 157*o**5 - 219*o**5 wrt o.
-23880*o**2
Let x(i) be the first derivative of -3 + 0*i - 5/2*i**2 - 2/5*i**5 - 1/2*i**4 + 5/3*i**3. Find the third derivative of x(y) wrt y.
-48*y - 12
Let j(r) = -r**3 + r**2 - 2*r - 1. Let x(a) = -241*a**3 + 2*a**2 - 4*a - 508. Let b(p) = 2*j(p) - x(p). Differentiate b(m) wrt m.
717*m**2
Let t(r) be the first derivative of -r**4/4 - 2*r**3 - r**2/2 - 3*r + 2. Let v be t(-6). What is the derivative of 6*h**v + 5 - 2*h**3 - 3*h**3 + 0*h**3 wrt h?
3*h**2
Let s(w) be the second derivative of 13*w**7/105 - 19*w**3/3 + 4*w**2 + 31*w. Let o(m) be the first derivative of s(m). Differentiate o(q) wrt q.
104*q**3
Let u(q) be the third derivative of 0*q + 0 + 0*q**4 + 8*q**2 + 1/20*q**6 + 0*q**3 - 3/20*q**5. What is the third derivative of u(x) wrt x?
36
Let a = 17 + -15. What is the second derivative of 2*c + 4*c**a + 12*c**2 - 4*c**2 + 8*c wrt c?
24
Let q = -2 - -6. Suppose -2*i = -m - q, 0*m + 5 = -5*m + 5*i. Find the second derivative of 2*n - 2*n + 3*n - n**m wrt n.
-2
Let a(m) be the first derivative of 31*m**6 - 441*m**2/2 + 249. Find the second derivative of a(b) wrt b.
3720*b**3
Find the second derivative of -20*f + 32*f + 705*f**2 + 86*f wrt f.
1410
Let y(z) be the third derivative of 0 + 18*z**2 + 0*z**3 + 0*z**5 + 0*z + 5/6*z**4 - 1/5*z**6. What is the second derivative of y(c) wrt c?
-144*c
Let k(w) = 4*w**2 - w. Let a be k(1). Suppose -3*v = -t - a, 6 - 17 = -4*v - t. What is the first derivative of -h**v + h**2 - h**2 + 1 wrt h?
-2*h
Suppose 71 = 5*h - w - 32, 34 = 2*h + 2*w. Let s be h/(-8)*(-5 - -1). What is the derivative of -s + 5 + 5*y - 4 wrt y?
5
Let n(y) = -y**2 + 11*y + 4. Let c(u) = -u**2 - 13*u + 5. Let p be c(-13). Let m be n(p). Find the first derivative of 2*f**3 + m - 17 - 26 wrt f.
6*f**2
Let y be 5 - ((-4)/(-2) - 2). Let k(i) = i + 5. Let v be k(0). Find the third derivative of -2*x**2 + y*x**2 - v*x**4 - 2*x**2 wrt x.
-120*x
Let h(a) be the first derivative of 0*a**4 + 0*a - 7/3*a**3 + 0*a**2 + 8 + 5/6*a**6 + 0*a**5. Find the third derivative of h(s) wrt s.
300*s**2
Let j(k) be the first derivative of -3*k**6/5 - 17*k**4/12 + k - 14. Let x(u) be the first derivative of j(u). Find the third derivative of x(a) wrt a.
-432*a
Let c(l) be the first derivative of -9*l**5/20 + 33*l**2/2 + 14*l - 6. Let z(s) be the first derivative of c(s). What is the derivative of z(v) wrt v?
-27*v**2
Let s(k) be the first derivative of -34*k**2 + 27*k + 59*k**2 - 23 - 42*k**2 - 8. Differentiate s(n) with respect to n.
-34
Find the third derivative of -152*m**4 - 515*m**4 - 211*m**4 - 193*m**4 + 359*m**2 + 214*m**4 wrt m.
-20568*m
Find the third derivative of 3*s**4 - 14*s**2 + 5*s**2 + 174*s**5 - 218*s**5 - 76*s**2 wrt s.
-2640*s**2 + 72*s
Let v be (-1 - 5)/(24/(-208)). Let d = -29 + v. What is the second derivative of 5*j - 7*j + 0*j + d*j**4 - 10*j**4 wrt j?
156*j**2
Suppose -4*v + 12 = z - 2*z, -2*v = z - 6. Let i be v/(6/4) - 0. Find the first derivative of -c**2 - 11*c**i + 2*c**2 - 11 wrt c.
-20*c
Let b(o) = o**2 + o + 2. Let v be b(2). Let g be (-20)/(-6) + v/(-24). What is the third derivative of -40*w**3 + 40*w**g + 3*w**6 + 2*w**2 wrt w?
360*w**3
Let l(u) be the third derivative of -11/24*u**4 - 17/6*u**3 + 0*u + 14*u**2 + 0. Differentiate l(j) wrt j.
-11
What is the third derivative of 225*d**2 + 208 + 289*d**3 + 77*d**3 + 91 - 224*d**2 wrt d?
2196
Find the third derivative of -26*n**2 - 104*n**5 + 22*n**5 - 3*n**4 - 108*n**5 + 3*n**4 wrt n.
-11400*n**2
Let t = 13 - 19. Let a(i) = 2 - 4 - 4 + 2*i**3 + 5*i. Let m(w) = 3*w**3 + 6*w - 6. Let v(u) = t*a(u) + 5*m(u). Differentiate v(s) with respect to s.
9*s**2
Let a(m) be the first derivative of -m**4/6 - 11*m**3/6 + 7*m - 11. Let p(o) be the first derivative of a(o). What is the second derivative of p(v) wrt v?
-4
Let c = 5 - 3. Let l = -137 + 145. Find the first derivative of l*j**3 - 4 + c*j**3 + 1 wrt j.
30*j**2
Let h(d) = -d**4 - d**3 + d. Let o(q) = 22*q**4 - 7*q**3 + 6*q - 143. Let j(n) = 6*h(n) - o(n). What is the first derivative of j(k) wrt k?
-112*k**3 + 3*k**2
Find the third derivative of 30*r**5 + 80*r**2 - 2*r - 209*r**2 + 2*r wrt r.
1800*r**2
Suppose -k - 24 = -h, -2*k = 2*h + 3*k - 41. What is the third derivative of 11*w**6 - 27*w**6 + 10*w**6 - h*w**2 wrt w?
-720*w**3
Let o(w) be the third derivative of 67*w**8/168 + w**4/2 - 18*w**2 + 2*w. What is the second derivative of o(k) wrt k?
2680*k**3
Let a(x) be the second derivative of 0 + 0*x**2 + 5*x**3 - 13/12*x**4 + 10*x. Find the second derivative of a(u) wrt u.
-26
Let g(v) be the second derivative of -8*v**6/3 - 81*v**2/2 + 13*v. What is the first derivative of g(b) wrt b?
-320*b**3
Let y = -26 + 29. Suppose -4*c + 15 = y. What is the third derivative of 4*d**c + 4 - 15*d**3 - 8*d**2 - 4 wrt d?
-66
Let u(y) = -46*y**2 + 324*y - 6. Let a(n) = 94*n**2 - 646*n + 11. Let v(x) = 6*a(x) + 11*u(x). Find the second derivative of v(h) wrt h.
116
Let d(a) be the first derivative of -17/3*a**3 + 0*a**2 - a**7 + 0*a - 9 + 0*a**6 + 0*a**5 + 0*a**4. What is the third derivative of d(r) wrt r?
-840*r**3
Find the second derivative of -13*p - p**4 - 71*p + 10*p**4 - 30*p**4 wrt p.
-252*p**2
Find the third derivative of 9*o**5 + 40*o**2 - 56*o**5 - 19*o**5 wrt o.
-3960*o**2
Suppose 5 = 4*f - 3. Find the second derivative of 9*h**4 - 2*h**2 + 2*h**f - 6*h wrt h.
108*h**2
Let d(w) = 2*w**3 - w**2 - 2*w + 1. Let g(r) = -15*r**3 + 66*r**2 - 205*r - 6. Let m(h) = 6*d(h) + g(h). What is the second derivative of m(x) wrt x?
-18*x + 120
Let s(k) = 114*k**3 + 52*k - 9. Let c(a) = 57*a**3 + 26*a - 4. Let j(v) = 9*c(v) - 4*s(v). Find the second derivative of j(i) wrt i.
342*i
Find the second derivative of w**3 - 3*w**3 - 2700*w**5 + 11*w + 2761*w**5 wrt w.
1220*w**3 - 12*w
Let y be 5/(-2)*19/((-380)/168). Find the third derivative of -21*q - 11*q**2 + 17*q**2 + 27*q**3 + y*q wrt q.
162
Let b(w) = -16*w**2 - 4*w - 16. Let y(f) = -15*f**2 - 3*f - 16. Let a = -15 - -19. Let u(q) = a*y(q) - 3*b(q). What is the first derivative of u(i) wrt i?
-24*i
Let d(l) be the first derivative of -l**4/2 + 10*l**3/3 - 247*l - 163. What is the first derivative of d(w) wrt w?
-6*w**2 + 20*w
Let d = 26 + 118. What is the second derivative of d*a + 7*a**5 - 20*a**5 - 138*a wrt a?
-260*a**3
Let b(j) = -j**2 + 10*j - 6. Let p be b(9). Let l = -1 + p. Differentiate -9*s**l + 2*s**4 - 3 - 3 + 9*s**2 wrt s.
8*s**3
Differentiate -479*f**4 + 8 + 3*f**2 + 83 + 497*f**4 wrt f.
72*f**3 + 6*f
Let o = 7 - -3. Find the second derivative of -3*u**2 - o*u + 3*u + u**2 + 0*u**2 wrt u.
-4
Suppose -8 + 2 = -3*n. Find the first derivative of 0 - 19*c**2 - 17 + 27*c**n wrt c.
16*c
Let c be -5 + 1 + 6 + -3. Let v(w) = 9*w**4 + w**3 - w + 7. Let i(u) = u**3 - u. Let r(h) = c*i(h) + v(h). Find the first derivative of r(s) wrt s.
36*s**3
Let t(c) be the second derivative of -4*c**6/15 + 9*c**5/10 - 293*c**2/2 - 240*c. Find the first derivative of t(z) wrt z.
-32*z**3 + 54*z**2
Let z(h) be the first derivative of 7*h**4/4 - h**2/2 + 40*h - 111. Differentiate z(y) wrt y.
21*y**2 - 1
Let u(t) be the first derivative of t**6/40 + 2*t**3 + 7*t**2/2 - 9. Let p(v) be the second derivative of u(v). Differentiate p(a) wrt a.
9*a**2
Suppose 0 = 5*h - 0*h - 25. Suppose -3*z + a + 12 = -15, 0 = 2*z - h*a - 5. What is the first derivative of -5 - 4*g**3 - z*g**2 + 10*g**2 wrt g?
-12*g**2
Let t(r) = -37*r**2 - 3*r - 6*r - 24*r + r. Let d(m) = -19*m**2 - 16*m. Let a(o) = -5*d(o) + 2*t(o). Find the second derivative of a(c) wrt c.
42
What is the second derivative of -4 + 1335*w**5 + 27 - 2*w - 8*w**2 - 1332*w**5 - 2*w + w wrt w?
60*w**3 - 16
Let p(v) = -48*v**3 + 5*v**2 - 6*v - 37. Let h(n) = 49*n**3 - 6*n**2 + 7*n + 36. Let w(i) = -5*h(i) - 6*p(i). What is the second derivative of w(r) wrt r?
258*r
Let r(d) = -324*d**2 - 4*d - 347. Let g(z) = 973*z**2 + 11*z + 1038. Let y(x) = -4*g(x) - 11*r(x). What is the first derivative of y(k) wrt k?
-656*k
Let m(c) = -c**3 - 12*c**2 - 9*c + 16. Let s be m(-11). Let x(p) = | {
"pile_set_name": "DM Mathematics"
} |
(r). Determine z(4).
-4
Let y = 23 - 20. Let z(l) = 1 - y + 2*l + 2 + 2. Give z(-5).
-8
Let g(j) = -2*j - 32. Let v be g(-11). Let z = 11 + v. Let c(m) = -8*m + 1. Determine c(z).
-7
Let t(v) = v + 4. Suppose 2*h = 5*g + 33, 2*g - 3 = -2*h + g. Suppose -5*p + a + 0 + 3 = 0, h*p = 3*a + 9. Determine t(p).
4
Let k(g) = -4 + 0 - 3*g + 0*g + 4*g. Let u = 242 + -246. What is k(u)?
-8
Let f(q) = 5*q**3 - 14*q**2 + 23. Let s(z) = 2*z**3 - 6*z**2 + 11. Let d(a) = -3*f(a) + 7*s(a). What is d(0)?
8
Suppose -4*y = 2*x + 2 - 4, 0 = 2*y + 2*x + 2. Let c(j) = -2*j**2 - 8*j + 7*j**2 - 4*j**y + 6. Calculate c(5).
-9
Let a(x) = x. Let y = 3 + -7. Let m(h) be the first derivative of -5*h**2/2 + 4*h + 48. Let i(t) = y*a(t) - m(t). What is i(6)?
2
Let r(l) = 7*l**3 + 7*l**2 + 2*l + 1. Let w(i) = -20*i**3 - 20*i**2 - 5*i - 3. Let j(q) = -17*r(q) - 6*w(q). Calculate j(3).
25
Let k(s) = -43*s - 59*s - 40*s + 132*s - 3. Determine k(-5).
47
Let s(c) = -c**2 - 10*c + 3. Suppose -4*t - 51 = 3*p, -3*p + 6 = -5*t - 51. Calculate s(t).
-21
Let q(o) = -5*o**2 + 1 + 4*o**2 - 3*o - o**2. Suppose 3*h = 4*i + 68, 3*h - 27 = -5*i - 85. Let s = -17 - i. Determine q(s).
-8
Let y(n) be the second derivative of n**5/20 - 5*n**4/4 + n**3/6 - 15*n**2/2 + 340*n + 1. Determine y(15).
0
Let c(w) = 37 + w - 61 + 21. What is c(4)?
1
Let x(b) = -19 - 12*b + 10 + 7 + 8*b. Calculate x(-1).
2
Let n(x) be the third derivative of -x**5/60 + x**4/4 - 5*x**3/6 - 14*x**2. Suppose 4 = 3*h - 20. Let m = h - 4. Give n(m).
3
Let d(m) = 40*m - m**2 + 2 - 33*m + 2 + 5. Let l be d(7). Let r(n) = n - 13. What is r(l)?
-4
Suppose 2*c + 44 - 8 = 0. Let o be (6/9)/(4/c). Let u(v) = 2*v - 2. Determine u(o).
-8
Let a be (-4 + (-66)/(-12))/(3/6). Let g(q) = q**3 - 2*q**2 - 2*q - 4. Determine g(a).
-1
Let r(w) = -5*w - 10. Let j be (17 + -18)*(-1 + (-10)/(-1)). Determine r(j).
35
Let v(m) = m + 35. Let r = -1468 + 1456. Give v(r).
23
Let z(a) = -7*a**2 + 5*a + 1. Suppose -4*r - 10 = 2*u, -u + 2*r + 3 = 4. Let o(h) = 4*h**2 - 2*h. Let t(n) = u*z(n) - 5*o(n). Calculate t(5).
-3
Let m(u) = 4*u**3 - 41*u**2 - 63*u + 35. Let b(v) = v**3 - 10*v**2 - 15*v + 9. Let p(i) = -9*b(i) + 2*m(i). Give p(9).
-11
Let j(k) be the first derivative of k**3/3 - k**2 + 6*k - 12. Let n(w) be the first derivative of j(w). Give n(3).
4
Let s(h) = h**2 - 3*h + 1. Suppose 5*y + 40 = -5*c, 6*c = 11*c - 5*y + 10. Give s(c).
41
Let y(d) = d**3 - d**2 + d - 2. Let x be y(2). Let u(s) = -14*s**2 + 25*s**2 - 12*s**2 - x*s + 0*s. Calculate u(-4).
0
Let h(v) = -v**2 - 7*v - 1. Let g be 2/12 - 22*95/(-60). Let d = g - 40. Give h(d).
9
Let f(r) = -r + 2. Let d(s) = 6*s**2 - s + 1. Let h be d(-1). Calculate f(h).
-6
Let i(r) = -3*r + 10*r**3 - 24*r**2 - 9*r**3 + 20*r**2 - 7 - 3*r. Give i(5).
-12
Let j(m) = -8*m. Let t be 9 + 14/(-2) + 3. Suppose -t*z = -4*z - 2. Calculate j(z).
-16
Let x(j) = j**2 - 4. Let a(i) = -1. Let l(r) = -5*a(r) + x(r). Let z(s) = 2*s + 27. Let y be z(-11). Suppose 39 = y*q + 34. Calculate l(q).
2
Let j(u) be the third derivative of u**5/120 - u**4/8 - u**3/6 + 9*u**2. Let i(t) be the first derivative of j(t). Calculate i(6).
3
Let j(q) = -2 + 8*q**3 - 5*q + 4*q**3 - 6*q**2 + 6*q**3 - 19*q**3 + 1. Suppose 1 = -2*m - 7. What is j(m)?
-13
Let k(w) = 11*w**2 + 52*w - 8*w**2 - 55*w + 2. Suppose -10 = -3*i - 2*i. Determine k(i).
8
Let d(k) = 8*k + 12*k**2 - 55*k**2 + 12*k**2 + 12*k**2 + 17 + 20*k**2. What is d(-6)?
5
Let y(n) = -n - 1. Suppose 3*d = -4*v + 13, d + d = 4*v + 2. Let g(i) = -7*i - 9. Let u(z) = v*g(z) - 4*y(z). What is u(-5)?
10
Let a(i) be the second derivative of 5*i**3/6 + 22*i. Let f be 12/8*8/3. Calculate a(f).
20
Let q(g) = -7*g**3 + 18*g**2 + 7*g - 8. Let o(r) = -11*r**3 + 27*r**2 + 11*r - 12. Let u(b) = 5*o(b) - 8*q(b). Give u(9).
-5
Let p(a) = -4*a - 2*a - 12 + 17*a**2 - 10*a**2 + 26 + a**3. What is p(-8)?
-2
Let y(h) be the second derivative of 1/2*h**3 + h**2 - 9*h + 0. Calculate y(4).
14
Let a(j) = -2*j - 10. Let x be a(-3). Let t(d) = d**3 + 5*d**2 + 4*d + 1. Determine t(x).
1
Let v(k) = -4*k**2 - 33*k - 2 - 28*k + k**3 + 7 + 56*k. Calculate v(5).
5
Let u(w) = w + 9. Let f = -86 + 43. Let p = -43 - f. What is u(p)?
9
Let t(k) = k + 6. Let j = -83 - -80. What is t(j)?
3
Let b(q) be the third derivative of -q**5/20 - q**4/8 + q**3/3 + 35*q**2. Suppose z + 2*z = -6. Let s be b(z). Let c(n) = -2*n - 3. Determine c(s).
5
Suppose -4*x + 5*i = 1670, i = 2*x + x + 1247. Let u be x/(-45) + 2/(-9). Suppose 5*j + u + 11 = 0. Let f(q) = -2*q**2 - 5*q + 2. Give f(j).
-10
Let w be ((-12)/7)/((-7)/49). Let o = 14 - w. Let l(b) = b**3 + o + 2*b + 1 + b - 2*b**3. Calculate l(-2).
5
Let p(v) be the third derivative of -1/12*v**4 + 0*v + v**2 + 0 - 1/2*v**3 + 1/40*v**5. Let z(f) be the first derivative of p(f). Determine z(-2).
-8
Let z(c) = -c - 2. Let h be z(4). Let j(k) be the third derivative of k**4/24 + 4*k**3/3 - 1045*k**2. Determine j(h).
2
Let p(a) = a**3 + 8 - 6*a**2 - 8*a + 0*a**3 + 0*a**3 + 0*a. Let h be 0/((-3)/(0 + 3)). Suppose h = -0*w + 4*w - 28. Determine p(w).
1
Let k(h) = -65 + 13*h - 55 + 99 - h**2. Give k(10).
9
Let a(k) be the third derivative of -5*k**4/24 + 2*k**3/3 - 35*k**2. Determine a(3).
-11
Let a(g) = -14*g + 5 - 11*g - 16*g - 11*g + 51*g. Suppose 2*c + 4 + 4 = 0. What is a(c)?
9
Let w(o) = 5*o + 0*o**2 - o**2 + 8 + 2*o**2 + 3*o. Let f be w(-6). Let j(x) = 2 - 4*x - 6*x + 16*x + x**2. Determine j(f).
-6
Let t(l) = -8*l**2 - 4*l - 46. Let y(h) = -9*h**2 - 3*h - 47. Let s(x) = 8*t(x) - 7*y(x). Determine s(-6).
-9
Let v(j) = j**2 + 51*j + 228. Let t be v(-46). Let w(k) = 4*k + 1. Determine w(t).
-7
Let h(f) = -f**2 - 1. Let k = -3 + 4. Suppose 6 = -2*o - 3*t + k, -5*o + 3*t + 19 = 0. Suppose o*r - 2 + 6 = 0. Determine h(r).
-5
Let z(b) be the first derivative of b**3/3 - b**2/2 - b - 46. Suppose -o - 12 = 3*o, 3*a + 24 = -5*o. What is z(a)?
11
Let r = -68 + 70. Let z(d) = -8 + d + 7*d**2 - 4*d**2 - d**3 + 0*d**2 - 2*d**r. Give z(0).
-8
Let s be (-18)/(-45) - (-7)/(-5) - -230. Let k(j) = s + 223 + 5*j - j**2 - 445. Determine k(6).
1
Let y be ((-39)/6 - -2)*(-2)/3. Let v(z) = -2*z**2 - 4. What is v(y)?
-22
Let h(i) = 7*i**3 - 2*i**2 + 5*i - 4. Let m be h(1). Let g = 22 - 13. Let r(x) = 10 - m*x - g*x**2 + 8*x**2 + 0*x**2. Calculate r(-7).
3
Let f(y) be the third derivative of y**4/24 + 5*y**3/6 + 94*y**2 - 1. What is f(6)?
11
Let r be (3/(-4))/(15/(-40)). Let y(p) = 3*p**3 + 2*p**2 - 4*p + 3. Give y(r).
27
Let q(m) = -7318*m + 3660*m + 3659*m - 15. Give q(20).
5
Suppose t - 9*t - 40 = 0. Let i(p) = 2*p**3 - 2*p**2 + 4*p - 4. Let f(o) = -3*o**3 + 3*o**2 - 7*o + 7. Let d(j) = t*i(j) - 3*f(j). What is d(2)?
-3
Let f(h) = -h**2 - 4*h + 1. Let w be f(-5). Let p(j) = j**3 + j**2 - j + 1. Let g(u) = -7*u**3 - 12*u**2 - u - 10. Let b(n) = g(n) + 6*p(n). Calculate b(w).
-8
Let j(w) = -w**3 + 3*w**2 + 3. Let x(c) = -c**2 - 1. Let v(k) = -4*j(k) - 12*x(k). What is v(1)?
4
Suppose -4*s - 9 = 19. Let l(t) = t**3 - 2*t**2 + t + 1. Let b(h) = 7*h**3 - 5*h**2 + 6*h - 1. Let d(a) = -b(a) + 6*l(a). Give d(s).
7
Let d(n) = -n**2 - 6*n - 6. Suppose 53 + 37 = -18*q. What is d(q)?
-1
Let v(o) = 2*o**3 + 2*o**2 + o - 5. Let c(x) = x**3 + x**2 + x - 3. Let q(l) = -3*c(l) + 2*v(l). Let d = 3 - 4. Let j be q(d). Let u(h) = -h. Calculate u(j).
0
Let q(h) = -3*h - 5. Suppose -2*z - l = 75, -2*z = -0*z - 3*l + 95. Let k = -45 - z. Give q(k).
10
Let b(a) = -2198 - 8*a - 4*a**2 + 5*a**2 - 2206 + 4416. What is b(6)?
0
Let m(o) = -o**3 - 5*o**2 - 3*o - 5. Let h(k) = 58*k + 13. Let f be h(4). Suppose -5*s + f - 55 = 0. Let u = s - 42. What is m(u)?
-9
Let c(t) = -t**2 + 4*t - 5. Let s(n) = -2*n + 1. Let v(r) = -c(r) + 2*s(r). Calculate v(7).
0
Let m be (-1)/((-2)/(-3) - 1). Let o(u) = 32*u - 3 + 32*u - 58*u. Let g(y) = y - 1. Let c(f) = 4*g(f) - o(f). Calculate c(m).
-7
Let y(i) = -i**3 - i**2 - i. Let s(z) = 4*z**3 + 2*z - 1. Let c(v) = -s(v) - 2*y(v). Let g = -1798 + 1800. Determine c(g).
-7
Let v(n) = -9*n - 1. Let a(c) = -5*c. Let b(k) = -7*a(k) + 4*v(k). Let i(o) = -3. Let l(m) = 2*b(m) - 3*i(m). Calculate l(2).
-3
Let g(f) = -26 - 6 + 8 + 2*f - 3. Give g(15).
3
Let s(w) = 3*w**3 - 16*w**2 + 13*w - 15. Let z(p) = -p**3 + 5*p**2 - 4*p + 5. Let f(g) = 4*s(g) + 11*z(g). What is f(8)?
-5
Let a(t) = t - 18. Let s(p) = -3*p + 50 | {
"pile_set_name": "DM Mathematics"
} |
98841.
492494205
-0.071*-3464
245.944
-0.06*124676.22
-7480.5732
What is the product of 609 and 2.2494?
1369.8846
Multiply 5 and 184345100.
921725500
Multiply -169.817 and -2.6.
441.5242
What is the product of -32 and 43272.8?
-1384729.6
Calculate 4493834*-0.058.
-260642.372
Multiply -17323 and -1929.
33416067
What is 0.24016 times -40?
-9.6064
Work out 43576.5 * 0.
0
Work out 66.37 * -2181.
-144752.97
What is the product of 2470 and 676?
1669720
What is the product of 0.6 and -29536712?
-17722027.2
Multiply 0.01 and 3754136.
37541.36
-3752 times 645.2
-2420790.4
Product of 0.663388 and -0.123.
-0.081596724
970.642*-0.12
-116.47704
What is 243772902.1 times -5?
-1218864510.5
0.3 times -105154097
-31546229.1
-87693548 * 4
-350774192
What is -341.026044 times -3?
1023.078132
Work out 1.7048212 * 0.1.
0.17048212
1 times 2361574
2361574
-1020.073 * -0.41
418.22993
Work out 15.486 * -22.
-340.692
Multiply 959.251 and -32.5.
-31175.6575
What is -0.1432841 times 0.2?
-0.02865682
-0.19647 times 326
-64.04922
12973.9371 times -3
-38921.8113
What is the product of -66222 and 1776?
-117610272
Work out 867 * 7617.
6603939
What is the product of 1.123 and -10334.7?
-11605.8681
622.32774 * 5
3111.6387
Multiply 7157671 and 0.7.
5010369.7
-0.4*275276671
-110110668.4
-64916 times 2294
-148917304
Multiply -2123073 and -0.372.
789783.156
1531119*0.082
125551.758
What is the product of 1.8579 and 35458?
65877.4182
-0.219 times -401802
87994.638
33*-1005805
-33191565
What is 1.2653 times -0.2561?
-0.32404333
Calculate -0.0728*259.5.
-18.8916
49895989 times 4
199583956
Calculate -0.3*22922598.
-6876779.4
-1 times 4355703.9
-4355703.9
What is the product of -1 and -23414984?
23414984
Calculate -19609*1234.
-24197506
0.2*-52307973
-10461594.6
Multiply 0.15 and -62768140.
-9415221
Calculate -0.3*2592564.
-777769.2
14.324 times 12599
180468.076
0.4 times 0.3765448
0.15061792
Product of -12 and -0.7606374.
9.1276488
What is the product of 32 and -545519?
-17456608
Calculate -15856778.8*2.
-31713557.6
-1 * -161279
161279
1493236*-0.62
-925806.32
What is 21338142 times -9?
-192043278
Work out 5.879 * -1406.
-8265.874
What is the product of -814 and -16729?
13617406
88.59 * 40
3543.6
-489325 times -7
3425275
-0.015970987 times 2.1
-0.0335390727
Multiply -7385058 and 9.
-66465522
What is the product of 4 and 222.7385?
890.954
Work out -0.228931 * -0.1.
0.0228931
33.74*5917
199639.58
-2103*8248.2
-17345964.6
7 * -18485189
-129396323
0.04 * 4153216
166128.64
Work out 0.8 * 4755059.
3804047.2
What is -5621586 times -0.05?
281079.3
2034 * -39950.9
-81260130.6
Product of 334.85 and -0.26.
-87.061
What is 1.3417 times -0.0294?
-0.03944598
-0.007 times 41164
-288.148
Product of 783498 and -15.
-11752470
Work out -49 * 1295282.
-63468818
-23529487 times 0
0
What is the product of -1.5 and -165.12?
247.68
27.1122481*0.3
8.13367443
Product of 12094813 and 0.1.
1209481.3
Calculate -32866320*-0.07.
2300642.4
-16*140730
-2251680
0.3 times 2825.6893
847.70679
-0.37228*5.4
-2.010312
0 times -265200
0
Multiply 334 and 28710.
9589140
What is 50969 times -578?
-29460082
What is the product of -35231745 and -2?
70463490
Product of -5 and 0.051678.
-0.25839
Multiply -147588 and 16.
-2361408
Work out -798.08825 * 0.3.
-239.426475
What is the product of 1047810 and 36?
37721160
Calculate 0.03*-582426.
-17472.78
-1.59967 times 7
-11.19769
0*-847290.9
0
-81*3035.14
-245846.34
Work out -6.0517 * 0.1023.
-0.61908891
Work out -33881.475 * -0.5.
16940.7375
Product of 0.24 and -93.10494.
-22.3451856
Work out -22176 * -251.5.
5577264
-0.2627*3216
-844.8432
What is 46068985 times 0.8?
36855188
Multiply 99024 and 130.
12873120
-167.3 times 130081
-21762551.3
Calculate -27902*-153.
4269006
Calculate -7244*-3354.
24296376
Work out 3.92 * 259871.
1018694.32
5748 * 692
3977616
What is the product of 15357352 and 1.5?
23036028
Multiply -205 and -19.068.
3908.94
What is the product of -2 and 649.2318?
-1298.4636
-0.3*38384790
-11515437
16*13.65113
218.41808
5 times -190080287
-950401435
What is the product of 0.2131929 and -45.9?
-9.78555411
39 times 88.965
3469.635
Calculate -0.53424667*4.
-2.13698668
0.0654 * -5138
-336.0252
What is -0.02854 times 73.5?
-2.09769
-1836544 times -0.4
734617.6
Work out -0.06 * 2764.457.
-165.86742
-1741573 * 1
-1741573
Multiply -584939 and -0.0374.
21876.7186
221.11894 * -0.5
-110.55947
846.8 times -267
-226095.6
Product of 4 and 152036.
608144
-0.5 * 7156717
-3578358.5
Multiply -923769 and 9.
-8313921
-0.0645837 * -1.2
0.07750044
Calculate -29515.68*0.2.
-5903.136
Product of 0.33 and 8538.549.
2817.72117
What is 963.6794 times 4?
3854.7176
Product of 24 and 306.228.
7349.472
Product of 305 and -58885.
-17959925
What is 5 times -8588675?
-42943375
1662115*0.106
176184.19
What is the product of -0.0498718 and -1.45?
0.07231411
Calculate 244.161115*-0.2.
-48.832223
Calculate -9*275046.
-2475414
Product of -0.2839 and -15988.
4538.9932
Calculate 32650264*-0.1.
-3265026.4
Calculate 33171*2607.
86476797
-9273780 times 2
-18547560
Multiply 374.2 and 11.435.
4278.977
766.95627*-0.4
-306.782508
Calculate 0*39358.6.
0
What is -5085994 times -0.03?
152579.82
-0.05 times -70492774
3524638.7
Calculate 2726*-2697.
-7352022
-0.5 * -0.2445216
0.1222608
Calculate -503149*-0.038.
19119.662
Work out 1 * 1106724.
1106724
What is -0.4 times 3158.706?
-1263.4824
-3.1 times 503949
-1562241.9
Work out 0 * -26124532.
0
Multiply 0.3 and -746756.
-224026.8
Work out 0.09 * 1130364.
101732.76
Product of 60 and 2.1001.
126.006
What is 209 times 26755?
5591795
What is the product of 538136541 and -4?
-2152546164
Work out -987070864 * 2.
-1974141728
What is the product of -1.2 and -324961?
389953.2
What is the product of -18.66 and 11.409?
-212.89194
Calculate -3*992.5086.
-2977.5258
Calculate -5653156*-10.
56531560
-0.5*38490.75
-19245.375
What is the product of -1.80532 and -358?
646.30456
What is the product of 0.1488407 and 0?
0
Calculate -1362066*35.
-47672310
Multiply 247 and 2231864.
551270408
0.5 times 12.53707
6.268535
Multiply -3 and -1340592.7.
4021778.1
1223 times -579318
-708505914
Calculate -4*-6136.439.
24545.756
Work out -66.1 * -26031.
1720649.1
What is 388713.42 times 3?
1166140.26
-1 times 1496500
-1496500
304 * -132871
-40392784
Calculate 705*-296.85.
-209279.25
Multiply -157 and -96431.
15139667
Calculate -541.6*4065.
-2201604
Product of 42079371 and 14.
589111194
-316*-2.1529
680.3164
Multiply -891 and 0.5315.
-473.5665
Multiply 35396346 and -4.
-141585384
Work out 0.3 * 2530647.
759194.1
-94 times -0.38377
36.07438
What is the product of 4 and 14.13375?
56.535
What is the product of 0.5 and 27708.2207?
13854.11035
-1.365 times -224.71
306.72915
0.05 times 4447699.9
222384.995
Multiply -0.97798 and 24.12.
-23.5888776
-859848.4 times 0.2
-171969.68
-0.2 times -66455098
13291019.6
Work out 0.5 * -1647.174.
-823.587
What is the product of 1782718 and 16.1?
28701759.8
Multiply -18.8026 and 88.
-1654.6288
0.067248 times 44.32
2.98043136
Calculate -0.07*150.40573.
-10.5284011
What is 748118 times -39.1?
-29251413.8
What is -5 times 577.8828?
-2889.414
0.4*-2870339
-1148135.6
26618 times -571.47
-15211388.46
Calculate -1232.8009*-1.
1232.8009
Multiply 1270.4 and 17.46.
22181.184
Calculate 1981012*-0.86.
-1703670.32
7*-84565
-591955
-4*32712.31
-130849.24
What is 80352 times -254.2?
-20425478.4
-0.1 * -51574847
5157484.7
-293147.8 * 13
-3810921.4
What is -13 times 568717?
-7393321
-2 times -18160578
36321156
What is the product of 1.8 and -469780?
-845604
-25.86 times 1.72009
-44.4815274
Calculate 1771553*-3.
-5314659
Multiply -1795888 and 0.1.
-179588.8
What is 2107 times -2102?
-4428914
-114*621.92
-70898.88
0.7073407*0.1
0.07073407
What is -0.1 times 926939.61?
-92693.961
Product of -5.011 and -0.40505.
2.02970555
Calculate 12019737*-0.13.
-1562565.81
What is -6 times 185301546?
-1111809276
What is 5 times -74876745?
-374383725
What is -5 times -4017684?
20088420
3*-21.200358
-63.601074
0.3653*130
47.489
Calculate 1.1*-137460.
-151206
11 times 90611
996721
Work out 0.6823214 * -1.
-0.6823214
Calculate -2049.9314*-5.
10249.657
1531 * -255235
-390764785
Multiply 6 and -1.07085943.
-6.42515658
Calculate 1*342176.2.
342176.2
0.54149 times -30.97
-16.7699453
Multiply 6105709 and -6.
-36634254 | {
"pile_set_name": "DM Mathematics"
} |
e remainder when -51*(-2 - -1)*1 is divided by (-4)/y + 792/45.
15
Let p(i) be the first derivative of -i**2/2 + 23*i - 5. Calculate the remainder when p(12) is divided by 7.
4
Let r be (203 - 1) + -11 + 13. Suppose 0*v + r = 3*v. Calculate the remainder when v is divided by 12.
8
Suppose -5*v + 144 = 19. Suppose -j + v = 4*j. Calculate the remainder when 7 is divided by j.
2
Suppose 4*p + 4 = 0, 4*x + 0*x + 285 = -p. Let v = 90 + x. Calculate the remainder when v is divided by 11.
8
Let m(r) = -3*r + 281. Calculate the remainder when m(34) is divided by 36.
35
Suppose -2062 = -16*g - 510. Calculate the remainder when g is divided by 38.
21
Suppose 5*u = -5*m - 8 + 23, -3*u - 11 = -m. Suppose -2 = -z - m. Let g = z + 30. Calculate the remainder when 51 is divided by g.
24
Let h(j) = j**2 - 9*j - 17. Let p be h(11). Suppose -5*v + 20 = 0, 0 = -3*x - p*v - 0 + 41. Calculate the remainder when 26 is divided by x.
5
Let z be 31/(2/18*3). Let n = -88 + z. Calculate the remainder when 63 is divided by n.
3
Suppose 0 = -p - 3*f + 35, -155*f = -3*p - 154*f + 75. Calculate the remainder when 66 is divided by p.
14
Let q = 28 - 16. What is the remainder when 48 is divided by q?
0
Let g = 1 + 30. What is the remainder when (127 - 37)/(3 - 2) is divided by g?
28
Suppose 4*j + 26 + 22 = 0. Let n be 8/j*6 - -7. Suppose -n*r + 6 + 39 = 0. What is the remainder when 28 is divided by r?
13
Suppose 16 = -0*q + 4*q. Suppose -3*x = 2*r - 13, -5*r + q*x + 45 = -2*r. Calculate the remainder when 21 is divided by r.
10
Let o(i) = -i**3 - 28*i**2 + 25*i - 35. Calculate the remainder when o(-29) is divided by 14.
11
Let b be (0 + -1)*(-75)/15. Suppose b*x - 9 = 56. What is the remainder when 30 is divided by x?
4
Let j = -531 - -667. Calculate the remainder when j is divided by 62.
12
Suppose -231 = -27*w + 390. What is the remainder when 151 is divided by w?
13
Let s(p) = 2*p - 13. Let f(b) = 5*b - 40. Let u(h) = 3*f(h) - 8*s(h). Let z be u(-7). Let j(w) = -8*w - 18. What is the remainder when j(z) is divided by 28?
26
Let n be 47 + 5/5 + 2. Suppose -9 + n = 2*f + 5*h, -f = 4*h - 22. What is the remainder when 88 is divided by f?
16
Suppose 20 = 6*l - l. Suppose -l*i - 25 = -3*p - 0*i, -5*i + 55 = 2*p. What is the remainder when 26 is divided by p?
11
Suppose 7 + 7 = -2*b. Let v(c) be the first derivative of -3*c**2/2 + 6*c + 15. Calculate the remainder when 51 is divided by v(b).
24
Let q = 15 + -8. Suppose q*l + l - 80 = 0. What is the remainder when 38 is divided by l?
8
Let n = 928 - 774. Calculate the remainder when 3233 is divided by n.
153
Let j(f) = -1. Let t(p) = 37*p - 7. Let w(h) = 4*j(h) - t(h). What is the remainder when w(-2) is divided by 20?
17
Suppose 27 = -21*f + 24*f. Let t(u) = 10*u - 17. Calculate the remainder when t(f) is divided by 15.
13
Let p be (117/6)/(1/2). Let d(u) = -16*u + 96. Let l be d(6). Suppose l = -0*v - 3*v + p. Calculate the remainder when v is divided by 7.
6
Suppose -35*p = 12*p - 282. What is the remainder when 145 is divided by p?
1
Suppose -1151 = -33*u + 2149. What is the remainder when u is divided by 27?
19
Let r be 0/(-1) - 0 - -33. What is the remainder when 225/6*2/3 - 4 is divided by r/4 + (-5)/20?
5
Let o be (-129)/18 + 3 + 1/6. What is the remainder when 9 is divided by (6/o)/(7/(-28))?
3
Let y = -26 - -38. What is the remainder when 16 is divided by 2/4*(y + (-6)/(-1))?
7
Let s be ((-70)/15)/(4/(-6)). Calculate the remainder when 9 is divided by 2*35/s*2/10.
1
Let i(a) = 7*a + 176. What is the remainder when i(26) is divided by 72?
70
Suppose 2*i = -3*s - 3 + 5, -2*s - 4*i - 4 = 0. Calculate the remainder when (-8)/18 - (-5576)/153 is divided by s*((-46)/(-4) - 2).
17
Let i(h) = 57*h + 6. What is the remainder when i(7) is divided by 138?
129
Suppose 72 = -n + 4*n. Let w = -101 - -47. What is the remainder when n is divided by (-1)/2*w/3?
6
Let d(u) = 2*u**3 - 3*u**2 + 1. Let v be d(2). Suppose 3*x + 64 = 2*r, 2*r - 18 = -v*x + 14. What is the remainder when r is divided by 7?
5
Suppose 3*u + u + 249 = 3*j, -u + 3*j = 51. Let n = 67 + u. What is the remainder when n is divided by 1?
0
Let w be (6/15)/((-7)/35). Let a(o) = 4*o**2 - 3*o - 8. Calculate the remainder when ((-26)/4)/(2/(-12)) is divided by a(w).
11
Let y be 104 - (-2 - -4) - 5. Let x = y + -80. Calculate the remainder when 66 is divided by x.
15
Suppose 0 = r - 2*a - 7, 3*r + 3*a = 2*a + 14. Suppose -2*o - 4*i + 0 = -6, 3*o - 11 = -r*i. Calculate the remainder when 17 is divided by o.
3
Suppose -2*q = -y - 4*q + 14, -q - 8 = -2*y. Suppose 3*v - 28 = 2*n, -v - 5*n = -26 - y. What is the remainder when 55 is divided by v?
7
What is the remainder when 4894/10 + ((-312)/(-20) - 15) is divided by 12?
10
Suppose -53*j - 680 = -945. Let l = -4 - -8. Suppose 3*o + 4*y - 9 = l*o, 4*y - 16 = 0. Calculate the remainder when o is divided by j.
2
Suppose 39*d = -28 + 340. What is the remainder when 129 is divided by d?
1
Let k be (-18)/(-24)*32/1. Suppose 4*u - k = -4. Suppose 0*a - 60 = -u*a. What is the remainder when 46 is divided by a?
10
Suppose 2*l + 2*x - 14 = 0, 2*l - 7*l + 85 = -5*x. Suppose 18*v = 4*v + 280. What is the remainder when v is divided by l?
8
Suppose -16 + 88 = 3*z. Let v = z + 1. Calculate the remainder when v is divided by 4.
1
Suppose -411 = -0*i - 3*i. Calculate the remainder when i is divided by 23.
22
Let k be (-3 + 2)/((-1)/3). Suppose 113 = 4*g + 3*t, k*g - 38 = 2*g - 4*t. Suppose 26*l - 900 = 8*l. What is the remainder when l is divided by g?
24
Let z be 204/18 + (-3)/9. Let h(q) = 6*q - 3. What is the remainder when h(z) is divided by 22?
19
Let u(r) = 13*r + 339. Suppose -7*h + 3*h + 84 = 0. Calculate the remainder when u(-22) is divided by h.
11
Let k = 41 + -13. Suppose 0 = 39*h - 116*h + 6006. What is the remainder when h is divided by k?
22
Suppose 83*z - 2332 = 16592. What is the remainder when z is divided by 79?
70
Let y = 220 + -130. Calculate the remainder when y is divided by 24.
18
Let z(p) = 2*p + 77. Let g(b) = -b. Let q(c) = 4*g(c) + z(c). Suppose -a + 100 = 4*a. Calculate the remainder when q(0) is divided by a.
17
Suppose 5*b + 6 = -2*f - 4, 0 = -5*b + 2*f + 10. Calculate the remainder when -3*(b - 295/15) is divided by 10.
9
Suppose u + 4*u = 25. Let j be u/(30/4)*-6. What is the remainder when 2 is divided by 10/14 + j/(-14)?
0
Let t = -350 - -424. What is the remainder when 242 is divided by t?
20
Suppose 5*h - 2*d = 60, 3*d - 25 = -4*h - 0*d. Calculate the remainder when 25 is divided by h.
5
Let j(o) = 90*o - 755. Calculate the remainder when 352 is divided by j(9).
22
Suppose 3*h - 2*l + 8 = -3*l, -4*h - 6 = -l. Suppose -4*c = -4*w - 20, -4*w + 13 = 25*c - 26*c. Calculate the remainder when 59/2 - h/4 is divided by c.
8
Suppose 3*s + 2*s = 205. Let z = s + -6. Calculate the remainder when z + (-2 + 2)/(-3) is divided by 9.
8
Let x be (6/10)/((-2)/(-10)). Suppose -x = v + 2. Let k(f) = f**3 + 5*f**2 - f + 7. What is the remainder when 46 is divided by k(v)?
10
Let r = 352 - 327. Calculate the remainder when r is divided by 13.
12
Let y = 808 + -602. What is the remainder when y is divided by 80?
46
What is the remainder when (-8)/3*6*(-114)/48 is divided by 20*(0 - (-3)/6)?
8
Let j(y) = 3*y - 4. Let h = -29 - -23. What is the remainder when 13*2 - (-1)/(h/(-18)) is divided by j(5)?
7
Suppose -21*j + 897 = -468. What is the remainder when 519 is divided by j?
64
Let k be (-42)/(-18) + 1/(-3). Suppose 5*o = 5*m - 270, -3*m + 282 = k*m + o. What is the remainder when m is divided by 15?
11
Suppose 2*q = -3*x + 132, 2*x - 6*x - 5*q = -169. What is the remainder when 181 is divided by x?
43
Let h(r) = -r**3 - 47*r**2 - 4*r - 109. What is the remainder when h(-47) is divided by 4?
3
Let i(b) = -2*b**3 - 4*b**2 + 3*b + 15. What is the remainder when i(-5) is divided by 42?
24
Let v(o) = o**3 - 8*o**2 - 3*o + 75. Let t = -109 + 117. What is the remainder when 356 is divided by v(t)?
50
Suppose -2*c - 32 = -3*s + 3*c, -5*s - 5*c + 120 = 0. Suppose 0 = 4*n + 3*u - 25, -5*n - 2*u = u - 35. Calculate the remainder when s is divided by n.
9
Let l = 0 + -1. Let h = -15 + l. Let p = h - -24. What is the remainder when 31 is divided by p?
7
Let n be 11 - -3*2/6. Let a be (1/(-2))/(3/n). Calculate the remainder when 7 is | {
"pile_set_name": "DM Mathematics"
} |
4.86
Calculate -80384 + -236043498.
-236123882
What is 111843838 less than -3004.01?
-111846842.01
What is the distance between -0.28494531 and -293861?
293860.71505469
What is the difference between 37644 and -23750467?
23788111
What is the distance between 24.2 and -12751777202?
12751777226.2
620020 - -2111320
2731340
-53557739 + 5200
-53552539
Add together -6 and 19727221.8798.
19727215.8798
0.3626+-64689353
-64689352.6374
What is -278054592 take away 79?
-278054671
What is -13347 plus 12516387?
12503040
Subtract -2.21084 from -0.778098.
1.432742
Work out 105383637 - -0.091123.
105383637.091123
What is 42.45559 take away -48950.7?
48993.15559
6282 - -2903511.11
2909793.11
Put together -215135937 and -73967.
-215209904
Calculate -86851034.80388 + 3.
-86851031.80388
Add together 306 and -0.0498083604.
305.9501916396
Work out -91982645604094 - -1.
-91982645604093
-5589569291+-3.6
-5589569294.6
Work out 116914589990949 + -3.
116914589990946
Add together -1046.75551 and 0.17552.
-1046.57999
What is -0.578833 - 14933.38?
-14933.958833
What is 229685771267 minus -1?
229685771268
Calculate -5573 + -36067629.
-36073202
What is the distance between 1072 and 233741632?
233740560
What is -567 take away -144220118954?
144220118387
What is -342 take away -28768429788?
28768429446
Subtract -0.10154924 from -28118.
-28117.89845076
Subtract 55468.4634091 from -0.1.
-55468.5634091
Total of -823.9919 and 2.035907.
-821.955993
What is the difference between 11552.91952 and -518019?
529571.91952
Calculate 8.145074 + -10.7326.
-2.587526
What is the difference between 3056.74148 and 2620119?
2617062.25852
What is 688434637611 minus -0.056?
688434637611.056
-20 + 6365333578458
6365333578438
What is -1631851.6 + 12045?
-1619806.6
What is 0.5053633535 minus 356.8?
-356.2946366465
-2848777 + 6140872
3292095
What is -0.3 minus 1739699398834?
-1739699398834.3
Work out 3000712413.6409 - 5.
3000712408.6409
Sum -5167127651.507 and -0.1.
-5167127651.607
Calculate 120069791 - 0.03411.
120069790.96589
Subtract 22021119399 from -81.
-22021119480
What is 0.28 plus -36.431334505?
-36.151334505
What is the difference between 29.21688 and 0.0391?
29.17778
What is the distance between -18409657.443 and -0.1153?
18409657.3277
Calculate -1436117 + -0.0485513.
-1436117.0485513
-484.88998+0.613923
-484.276057
What is 2.989879262 + -0.02?
2.969879262
What is -3 minus 465.596191314?
-468.596191314
What is -12147324 + 552?
-12146772
What is -58302952 take away -8211?
-58294741
What is -5 less than -20768099454.341?
-20768099449.341
What is -0.592741 + -74.2710402?
-74.8637812
Add together -2220.04 and -317989.3964.
-320209.4364
Calculate -29625171 - 521.8.
-29625692.8
Total of 1.9 and 259832810865.
259832810866.9
Sum -10 and -2928907068439.
-2928907068449
What is -729766638488 take away -26.4?
-729766638461.6
Sum 10 and -6385782966570.
-6385782966560
What is the distance between 110 and -3825320300?
3825320410
What is 1.5 minus 2286046406136?
-2286046406134.5
Add together 11000 and 129384.4.
140384.4
Work out -48006140178339 + -0.5.
-48006140178339.5
Add together -905552 and -7076.
-912628
Add 298911 and -1332335.3.
-1033424.3
What is -0.0955169291 + 61876?
61875.9044830709
What is the difference between 60239402663 and 0.8053?
60239402662.1947
What is 1552165425448 take away -4?
1552165425452
93717 - 1002874
-909157
Total of 806 and -16935067524.
-16935066718
Sum 762.39 and -31.49781.
730.89219
57174413 + 43.455
57174456.455
Calculate 1780448498006 - -4.
1780448498010
7941432 + -7286083
655349
What is 53.9303573747 less than -8?
-61.9303573747
Work out -9418705 - -328712.
-9089993
What is 168.14 plus 0.06849733?
168.20849733
Work out -45600 - 12248.7133.
-57848.7133
-83.9 - -246016816
246016732.1
What is the difference between 496591716 and 5705.88?
496586010.12
What is the distance between -1540.28421921 and 1?
1541.28421921
Work out -1.12547 - -16824322.5.
16824321.37453
Sum -7.7988905 and 1117.7.
1109.9011095
What is -1.057777106 less than 118.99?
120.047777106
Subtract 433663.4458 from -6.8.
-433670.2458
What is -55450 less than 3405924996?
3405980446
-10.934 - 43558111
-43558121.934
Subtract 0.2991497 from 13894.
13893.7008503
What is 4655260 minus -17063?
4672323
Work out 0.05372 - -278.4819551.
278.5356751
Put together -1655.148822 and 133.
-1522.148822
Put together 45 and 0.1705652686.
45.1705652686
-49361916.2875642 - -3
-49361913.2875642
What is the distance between 62101206 and 162090?
61939116
Add together -0.36 and 11508.968009.
11508.608009
Add -35.9057 and -0.87566425.
-36.78136425
-253155+-3629937880
-3630191035
Subtract 13.773 from -0.00092376213.
-13.77392376213
What is -94688166466343 - -18?
-94688166466325
What is -3 - -10752512.61722?
10752509.61722
Subtract 140145939 from -2569.
-140148508
What is 1416.55 take away 53943?
-52526.45
Add together -31963 and -1670.170436.
-33633.170436
What is 1.8413646 minus -194647?
194648.8413646
Calculate -223 + 92170138910.
92170138687
Total of 27323181 and -6275041.
21048140
What is 0.148 minus 327554316976?
-327554316975.852
Calculate 330 - 9947236862.
-9947236532
Calculate 119917 + -835642446.
-835522529
What is -28844413456415 - -3?
-28844413456412
What is -177988998 + -8913?
-177997911
What is -40043.159553 + 8?
-40035.159553
Calculate 1035371.8 + -25176.4.
1010195.4
What is the distance between -56236 and 383.1106?
56619.1106
Work out 10268619.67 + 61.52.
10268681.19
What is 0.05 - 2418499.0972273?
-2418499.0472273
What is -4447.5 less than -74813714?
-74809266.5
Calculate -874133 - 1206298.
-2080431
-419 - -76973.009812
76554.009812
Calculate -1326715.28418 - -97.
-1326618.28418
What is 336.5 - 2152.2905?
-1815.7905
What is 2973314 take away 4235483?
-1262169
What is -11110.5663603072 take away 5?
-11115.5663603072
What is -470636 less than -673516.989?
-202880.989
What is -11386719735318 less than 0.04?
11386719735318.04
What is -138363 take away -2878728?
2740365
What is -436 plus -896416767?
-896417203
Sum 187589419 and -1072.
187588347
Work out -7047304.86618 + 97.
-7047207.86618
Put together 121553 and -63200.134.
58352.866
What is the distance between -6 and -0.2304681020363?
5.7695318979637
Add together -0.06 and -8902422.012888.
-8902422.072888
Calculate 53.69 + 39913390103.
39913390156.69
16.8850318 - -89.3
106.1850318
Subtract 2 from -579956436258.
-579956436260
What is -0.3 + -2056910705129?
-2056910705129.3
What is the difference between -0.12 and -95684416217198?
95684416217197.88
What is 35749657.9 take away 261.1?
35749396.8
18061226 - -631814
18693040
What is -2650 less than 6361051.3?
6363701.3
Add -512261 and -47984604.
-48496865
Add together 2 and 62411669491.
62411669493
Calculate -29.894524 + -487.
-516.894524
Work out 4.206414979 - -31.
35.206414979
What is -1431 plus -205322304.94?
-205323735.94
What is -0.9048 - 29.302974?
-30.207774
Add 33 and 152340202764.
152340202797
-96656253056+745
-96656252311
What is 0.11578203234 + -226?
-225.88421796766
What is 74540.39392 less than 2820.4?
-71719.99392
Work out -0.067842 + -679.72674.
-679.794582
Total of 77092 and 0.427158924.
77092.427158924
-0.4 - 8.52163086433
-8.92163086433
Sum -3.68 and -167345253.4476.
-167345257.1276
Add together -631.7 and -1.206113.
-632.906113
Work out 1675.304 - 57306588.
-57304912.696
-988243965.3+-3017
-988246982.3
0+-68726040206753
-68726040206753
Work out -0.0214468512 + 12287.
12286.9785531488
What is -233131845 - 352938?
-233484783
What is the distance between 641081884 and 4275?
641077609
4.30104+269.23329
273.53433
What is the distance between -1595.28 and -1390531866?
1390530270.72
1083020.28022+-2
1083018.28022
Calculate 1 - 400.6469546156.
-399.6469546156
2 - 87.641979348
-85.641979348
Calculate 8 - 1255022510519.
-1255022510511
What is the difference between -5672135958 and 210?
5672136168
Add 30815802083 and -0.089.
30815802082.911
Work out -95.9137199 + -0.1.
-96.0137199
-18+4152412307
4152412289
What is 98 + -13507.7773?
-13409.7773
What is -101 take away -0.2459311493?
-100.7540688507
-4649 + 18.305819648
-4630.694180352
What is 2 minus 298962897762?
-298962897760
What is 164.5 minus -252.012223?
416.512223
What is -284183.84848 less than 398.9?
284582.74848
What is 995150141 minus 57.863?
995150083.137
-2 | {
"pile_set_name": "DM Mathematics"
} |
smallest value? (a) -4/2195 (b) 8 (c) 0 (d) -5 (e) 3 (f) 3/5 (g) 2/15
c
Which is the third smallest value? (a) 13 (b) 3/8 (c) -2 (d) 0.31 (e) 2.74
b
What is the smallest value in -2/61, -10, 1/3, 34/705, 5, -5?
-10
What is the third biggest value in 1/3, -20, 9/11, 2, -4, 136?
9/11
What is the second biggest value in 1/7, -10, 19, -1.1, 2/9, 1?
1
What is the fourth biggest value in 5, -4678, 26, -4, 1?
-4
Which is the fourth biggest value? (a) -31 (b) 0.4 (c) -210/67 (d) 2/3
a
What is the seventh biggest value in -1/13, -39, 0.1, 24, -0.3, 2/5, 0.2?
-39
What is the fourth smallest value in -3/4, -8038, 1/3, 0, -1/3, 7?
0
What is the third smallest value in -316, 1/5, -0.354, 26?
1/5
Which is the second biggest value? (a) -10 (b) 7 (c) -1/2 (d) -2108 (e) 0
e
What is the fifth biggest value in -3, 4, 55, -94, -3/5, -209.5?
-94
What is the fourth smallest value in -3, 16, -0.194, 11.6?
16
What is the third biggest value in -2/7, -21, 5, -2, 2/5, -19, -4?
-2/7
Which is the smallest value? (a) -6 (b) 1/7 (c) 1496 (d) 20 (e) -1
a
What is the third smallest value in 0.06, -5/4, -11, 8/9, -1, -3?
-5/4
Which is the fifth biggest value? (a) 6 (b) 4 (c) -0.7 (d) 0.1 (e) 92.03
c
Which is the fourth biggest value? (a) 18.7 (b) -4 (c) 0.2 (d) -1 (e) -190 (f) 23
d
Which is the fifth biggest value? (a) 0.1 (b) 103 (c) -4 (d) -0.3 (e) 1 (f) -0.03 (g) 6/5
f
Which is the second smallest value? (a) 42605684 (b) -0.5 (c) -4
b
Which is the third smallest value? (a) 3/2269 (b) -47/19 (c) 5
c
Which is the second biggest value? (a) -9 (b) -4 (c) -1.84 (d) -4/9 (e) 2
d
Which is the smallest value? (a) 2/9 (b) -259 (c) 444
b
What is the second smallest value in 68, -10, -28, 2/75?
-10
Which is the fifth smallest value? (a) -0.044 (b) -3/4 (c) -0.5 (d) 843 (e) 4
d
What is the second biggest value in 70, -971/6, -0.1, -5, -3/7?
-0.1
Which is the third smallest value? (a) 29 (b) 40296 (c) -0.88
b
Which is the fourth smallest value? (a) -29 (b) -0.65 (c) -2/3 (d) -3 (e) -8/5 (f) -2 (g) -1/8
e
What is the third biggest value in 0.5, 32, 15.295?
0.5
What is the third smallest value in -2/7, 50, -372585/8?
50
What is the smallest value in 3/7, 3.7, -1, 327, 2/15, -58?
-58
What is the second smallest value in 4, -3/8, 1/1201?
1/1201
Which is the third biggest value? (a) 6/7 (b) 2 (c) -592196 (d) 0.1 (e) 2/7
e
Which is the second smallest value? (a) 0.3 (b) -69 (c) 34 (d) -116 (e) -2
b
What is the smallest value in -2083, 4/5, -16, -3?
-2083
Which is the second biggest value? (a) 208 (b) 2/9 (c) 0.0258 (d) -26/7 (e) 1/3
e
What is the third smallest value in -2/7, 21, -0.2, -466, 20?
-0.2
What is the seventh biggest value in -3, 0.389, -1, -2/75, 2, 1/3, 0?
-3
What is the sixth smallest value in -0.2, 121/4, -1, 1/6, -0.4, 0, -18?
1/6
Which is the fourth smallest value? (a) -19/4 (b) 52 (c) -1/710 (d) 5
b
Which is the smallest value? (a) -2 (b) -0.1 (c) -5900 (d) -4/7 (e) -0.143
c
Which is the third smallest value? (a) -0.4 (b) -7/5 (c) 0.78 (d) -3/91 (e) -9
a
Which is the third smallest value? (a) 13 (b) 36475/7 (c) 22/5
b
What is the second biggest value in -3/58, -3/2, -1/5, 6, 2, -1.3, 0.14?
2
Which is the fourth smallest value? (a) 0.25 (b) 0.2763 (c) -16 (d) -4 (e) -0.5 (f) 0
f
Which is the smallest value? (a) -3 (b) 77869/1768 (c) -4
c
What is the fourth biggest value in -1.8, 867734, -2, -1/2?
-2
Which is the biggest value? (a) 2 (b) -3/4 (c) 1398 (d) -80
c
What is the third smallest value in -0.17, 40, 3, -0.5, -17, 0.5?
-0.17
Which is the third smallest value? (a) 0.0181 (b) -4 (c) 66.515
c
What is the biggest value in -0.8, -0.0694, 5477?
5477
Which is the third biggest value? (a) 1 (b) -4474 (c) 2 (d) -4 (e) 10/9
a
Which is the second smallest value? (a) 1/8 (b) 2 (c) 5/8 (d) 0.071478 (e) 5
a
Which is the third smallest value? (a) -3/4 (b) -2 (c) -2577 (d) 8 (e) 6
a
Which is the second biggest value? (a) 3 (b) -0.6 (c) -98 (d) 1309 (e) -3/2
a
Which is the second biggest value? (a) -469 (b) 1.08 (c) 3 (d) -0.03 (e) -0.2
b
What is the sixth biggest value in 3/2, -1, 2/9, -2/15, -2/9, 59415, -0.1?
-2/9
What is the fifth biggest value in -373, 66, -1/6, 0.014, -1?
-373
Which is the second smallest value? (a) -40 (b) -11/26 (c) 5 (d) 0.2 (e) 2/11
b
Which is the fourth smallest value? (a) -0.56 (b) 56.7 (c) -3 (d) 1/2 (e) 3 (f) -4
d
What is the second biggest value in -1, 0, -0.1, 0.3, 1.5287, 2?
1.5287
Which is the second smallest value? (a) 6 (b) 0.3 (c) 3/14 (d) -5/4 (e) -3 (f) -16
e
What is the smallest value in 4, 2/1197, 0.3, -1/3, -2/11, 3?
-1/3
Which is the fourth biggest value? (a) 319 (b) -2/11 (c) 3.9 (d) -0.04 (e) 1 (f) 54
e
What is the biggest value in 2.6, -0.2, -6, -22/1097?
2.6
Which is the seventh biggest value? (a) -5/124 (b) 2/13 (c) -1/6 (d) -5 (e) -27 (f) 1/4 (g) 0
e
Which is the second biggest value? (a) -7 (b) 11 (c) 0 (d) -23 (e) -1 (f) 3 (g) -3
f
What is the fourth biggest value in 1, -2, -1, -4725777?
-4725777
Which is the second smallest value? (a) -0.4 (b) 69/1329604 (c) 2 (d) -1
a
What is the second biggest value in 2/235, -2651, -5/3, -1/2, 4?
2/235
Which is the biggest value? (a) -0.24 (b) 875 (c) -3/121
b
What is the smallest value in -5/668, 3, -0.1, -8, -2/73?
-8
What is the second smallest value in 9340, 43, 84, -5?
43
Which is the smallest value? (a) -12/2221 (b) 7 (c) 4
a
What is the second biggest value in -6, 0.09213, -0.3, 2/79?
2/79
Which is the third smallest value? (a) -0.14 (b) 0.89 (c) -177 (d) -3
a
Which is the smallest value? (a) 76 (b) -4 (c) 38 (d) 2588
b
Which is the third biggest value? (a) 237230 (b) 7/2 (c) -5
c
Which is the smallest value? (a) -4628492 (b) 0.13 (c) 2
a
Which is the second smallest value? (a) 34 (b) -84 (c) -1/5 (d) -893
b
What is the third smallest value in -1/7, 0.0398, 35, -0.3, 0.5, -7, -5?
-0.3
Which is the third smallest value? (a) -12 (b) -2/7 (c) 0.2 (d) -13 (e) -31 (f) -1/3 (g) 4
a
Which is the fifth biggest value? (a) -5 (b) -7 (c) 0 (d) 1/4 (e) -4 (f) -14.436 (g) 3
a
What is the third biggest value in -7035/341, 2, -5?
-7035/341
Which is the third smallest value? (a) 162.9 (b) 268 (c) 1/8 (d) -0.4 (e) -5/2 (f) -1/9 (g) 1
f
Which is the fourth biggest value? (a) -1 (b) -3 (c) -0.18 (d) 54840 (e) 0.3
a
Which is the second biggest value? (a) -4 (b) 22.11 (c) 1/3 (d) -3 (e) -16 (f) -5 (g) 4
g
What is the third smallest value in 1/5, -1/3, 3/7, 9.2, -1697?
1/5
What is the second biggest value in 3/2, 0.0694, -1506?
0.0694
What is the fourth biggest value in -4/9, 1/322, 3/4, -1, 5, 0.4, 353?
0.4
Which is the biggest value? (a) 16 (b) -45 (c) -13/6 (d) -1 (e) -9
a
What is the third smallest value in 26, 0.3, -2/9, -1, -181, -0.2?
-2/9
What is the smallest value in 2/3, 11, -0.1, 4, 2/7, 112?
-0.1
Which is the smallest value? (a) 3 (b) 0.195 (c) 0.4 (d) -394/7 (e) 2
d
What is the fifth smallest value in 507, 4/7, -3, 6, 20, 11?
20
Which is the fourth smallest value? (a) 14/5 (b) -0.1 (c) 1/2 (d) 0.8 (e) 39
a
What is the fourth smallest value in 1/2, 5.7688, -2, -0.1, -0.01?
1/2
Which is the third smallest value? (a) -4 (b) -15440 (c) 12 (d) 10/7 (e) 1/7
e
What is the biggest value in -1/8, 3, -2, 23923, 2/5, 1?
23923
Which is the third smallest value? (a) 15 (b) -2/19 (c) -2019
a
What is the sixth biggest value in 135, -4, 0.4, -0.012, -0.1, 76?
-4
What is the fifth biggest value in 9, -0.4, -0.1, -3, 2, 24/37, -777?
-0.4
What is the fifth smallest value in 625, 3, -3, 1/4, 37?
625
Which is the second smallest value? (a) -527.25 (b) -407 (c) -2/7
b
What is the fourth biggest value in -6/7, 1, 1/5, -35710?
-35710
Which is the fifth biggest value? (a) -82 (b) 2/17 (c) 2/11 (d) -1 (e) 3 (f) -9
f
What is the fifth smallest value in 4, -0.5, -2098, 10/3, 0?
4
What is the third smallest value in -2, -34368, -0.3, 2/17?
-0.3
Which is the fifth biggest value? (a) 2 (b) 1/4 (c) 1.73 (d) -14413 (e) -2/7
d
Which is the fifth biggest value? (a) 7 (b) -6 (c) -3 (d) -0.06 (e) 0.5 (f) -0.2
c
Which is the biggest value? (a) -1.6 | {
"pile_set_name": "DM Mathematics"
} |
384
What is the remainder when 429595753 is divided by 14?
13
Calculate the remainder when 16180319 is divided by 442.
25
Calculate the remainder when 15900255 is divided by 50477.
0
What is the remainder when 904156 is divided by 8021?
5804
What is the remainder when 876227 is divided by 51522?
353
What is the remainder when 1955890 is divided by 536?
26
What is the remainder when 20935750 is divided by 951625?
0
What is the remainder when 60057 is divided by 2243?
1739
Calculate the remainder when 689129 is divided by 1451.
1355
What is the remainder when 14322 is divided by 19?
15
Calculate the remainder when 5902655 is divided by 3863.
3854
Calculate the remainder when 282847216 is divided by 87950.
16
Calculate the remainder when 42506553 is divided by 1339.
1337
What is the remainder when 1418316 is divided by 479?
476
What is the remainder when 497852 is divided by 491?
469
Calculate the remainder when 4741463 is divided by 1551.
56
Calculate the remainder when 5742214 is divided by 1795.
9
Calculate the remainder when 127272 is divided by 9758.
418
Calculate the remainder when 1102084527 is divided by 131.
129
What is the remainder when 46864 is divided by 5002?
1846
What is the remainder when 110242 is divided by 6777?
1810
What is the remainder when 44679959 is divided by 936?
935
Calculate the remainder when 894110432 is divided by 9.
5
What is the remainder when 4843755 is divided by 2340?
2295
Calculate the remainder when 282534333 is divided by 1896.
1893
What is the remainder when 3651717 is divided by 3008?
5
What is the remainder when 18790506 is divided by 1879035?
156
Calculate the remainder when 427017 is divided by 2043.
30
Calculate the remainder when 45858921 is divided by 9148.
9145
What is the remainder when 4617 is divided by 252?
81
Calculate the remainder when 2174955 is divided by 1197.
6
Calculate the remainder when 5353808 is divided by 1921.
1902
What is the remainder when 32635 is divided by 3544?
739
Calculate the remainder when 60020487 is divided by 207.
9
Calculate the remainder when 7800562 is divided by 215.
147
What is the remainder when 54578147 is divided by 22?
19
What is the remainder when 1298117 is divided by 92?
89
What is the remainder when 1165533 is divided by 9245?
663
What is the remainder when 180866 is divided by 8558?
1148
What is the remainder when 2326043 is divided by 449?
223
What is the remainder when 10693920 is divided by 2035?
2030
What is the remainder when 21509653 is divided by 153?
148
Calculate the remainder when 16139272 is divided by 84.
16
Calculate the remainder when 1883845 is divided by 78493.
13
Calculate the remainder when 33089290 is divided by 4624.
4570
What is the remainder when 25576198 is divided by 18?
16
What is the remainder when 180197 is divided by 59997?
206
Calculate the remainder when 14654031 is divided by 6819.
0
What is the remainder when 9503108 is divided by 329?
272
Calculate the remainder when 16118049 is divided by 134317.
9
What is the remainder when 82697 is divided by 336?
41
Calculate the remainder when 142795 is divided by 142572.
223
What is the remainder when 14001140 is divided by 126?
20
What is the remainder when 11693513 is divided by 1661?
73
Calculate the remainder when 5675906 is divided by 156.
2
What is the remainder when 902486 is divided by 238?
228
What is the remainder when 56256 is divided by 1787?
859
Calculate the remainder when 10912920 is divided by 3637621.
57
Calculate the remainder when 4262704 is divided by 2411.
56
What is the remainder when 415225382 is divided by 2495?
2492
Calculate the remainder when 27449994 is divided by 278.
274
What is the remainder when 84485 is divided by 97?
95
What is the remainder when 3628877 is divided by 1631?
1533
What is the remainder when 151021556 is divided by 5178?
8
What is the remainder when 16752432 is divided by 6011?
5786
Calculate the remainder when 6305432 is divided by 147.
14
Calculate the remainder when 2809781 is divided by 233.
34
What is the remainder when 26441647 is divided by 1934?
1933
What is the remainder when 10663495 is divided by 1184814?
169
What is the remainder when 10084874 is divided by 731?
729
What is the remainder when 2447526 is divided by 325?
276
Calculate the remainder when 62493 is divided by 30726.
1041
What is the remainder when 607958 is divided by 41?
10
Calculate the remainder when 3752061 is divided by 150081.
36
Calculate the remainder when 1855519 is divided by 20.
19
Calculate the remainder when 4014321 is divided by 267616.
81
Calculate the remainder when 4063888 is divided by 150.
88
Calculate the remainder when 252729 is divided by 278.
27
What is the remainder when 250596 is divided by 3868?
3044
What is the remainder when 915999 is divided by 4199?
617
What is the remainder when 8041943 is divided by 2359?
112
What is the remainder when 285772 is divided by 142805?
162
What is the remainder when 16425674 is divided by 1580?
1574
Calculate the remainder when 156924647 is divided by 12560.
7
Calculate the remainder when 983796 is divided by 9026.
8988
Calculate the remainder when 1323650 is divided by 9258.
9014
What is the remainder when 1788184 is divided by 982?
944
Calculate the remainder when 12114 is divided by 984.
306
What is the remainder when 5332 is divided by 849?
238
Calculate the remainder when 2966568 is divided by 7.
3
Calculate the remainder when 628325 is divided by 209407.
104
What is the remainder when 152423433 is divided by 50807805?
18
Calculate the remainder when 11417508 is divided by 165.
3
What is the remainder when 78598081 is divided by 6616?
1
What is the remainder when 2413811 is divided by 114937?
134
What is the remainder when 3331099 is divided by 37428?
7
What is the remainder when 184530 is divided by 2628?
570
Calculate the remainder when 1229632 is divided by 72329.
39
Calculate the remainder when 242147 is divided by 4550.
997
Calculate the remainder when 326917 is divided by 2574.
19
Calculate the remainder when 61399 is divided by 7653.
175
Calculate the remainder when 24743235 is divided by 5269.
11
What is the remainder when 2417609 is divided by 217?
12
Calculate the remainder when 15148610 is divided by 82779.
53
What is the remainder when 1421898 is divided by 710933?
32
What is the remainder when 1218610 is divided by 101550?
10
What is the remainder when 1289202262 is divided by 3096?
3094
What is the remainder when 61324574 is divided by 353?
2
What is the remainder when 1460874 is divided by 3470?
4
Calculate the remainder when 275233 is divided by 21167.
62
Calculate the remainder when 293140862 is divided by 58628172.
2
Calculate the remainder when 21276 is divided by 610.
536
What is the remainder when 8570059 is divided by 40?
19
Calculate the remainder when 1878594 is divided by 67087.
158
What is the remainder when 50888 is divided by 587?
406
What is the remainder when 21985784 is divided by 178746?
26
What is the remainder when 4932085 is divided by 29?
26
Calculate the remainder when 1917646 is divided by 2126.
2120
Calculate the remainder when 148117 is divided by 3719.
3076
Calculate the remainder when 56682 is divided by 8036.
430
Calculate the remainder when 1743061 is divided by 348592.
101
What is the remainder when 2519436 is divided by 560?
556
Calculate the remainder when 83505721 is divided by 2001.
1990
Calculate the remainder when 6642733 is divided by 116.
109
What is the remainder when 1356061 is divided by 1789?
1788
What is the remainder when 112188062 is divided by 602?
546
What is the remainder when 12636954 is divided by 55?
44
What is the remainder when 998828 is divided by 506?
490
Calculate the remainder when 1197691 is divided by 513.
349
What is the remainder when 4848118 is divided by 36?
34
Calculate the remainder when 3144364 is divided by 1148.
1140
Calculate the remainder when 304024 is divided by 152001.
22
Calculate the remainder when 114920 is divided by 54487.
5946
What is the remainder when 99353660 is divided by 576?
572
Calculate the remainder when 101465518 is divided by 4.
2
What is the remainder when 17617 is divided by 38?
23
What is the remainder when 3901236 is divided by 535?
16
Calculate the remainder when 2442696 is divided by | {
"pile_set_name": "DM Mathematics"
} |
: 2, n: 3}?
1/24
Four letters picked without replacement from {u: 1, t: 5, e: 3}. Give prob of sequence tuet.
5/252
Calculate prob of sequence xww when three letters picked without replacement from wwcswtxctwoswtc.
2/273
Calculate prob of sequence mff when three letters picked without replacement from fffwfffwmmfffwwf.
3/56
Calculate prob of sequence irb when three letters picked without replacement from bbriiirbrbrbibribii.
245/5814
Four letters picked without replacement from pepyfypyypefyppycyf. Give prob of sequence fyff.
7/15504
Two letters picked without replacement from {w: 4, z: 2, l: 1, m: 3}. Give prob of sequence ww.
2/15
Four letters picked without replacement from zwwwwwwwzwwzwwzz. Give prob of sequence wzwz.
55/1092
Four letters picked without replacement from {w: 3, n: 3, m: 7}. What is prob of sequence mmwm?
21/572
What is prob of sequence mkmm when four letters picked without replacement from mmzmmzzmmzmkmzz?
2/195
What is prob of sequence bv when two letters picked without replacement from vbvbbvvbbvvvvv?
45/182
Three letters picked without replacement from {n: 3, j: 6, s: 5, d: 1}. Give prob of sequence njs.
3/91
Two letters picked without replacement from {b: 1, k: 3, i: 3, m: 3, t: 1}. What is prob of sequence bi?
3/110
Two letters picked without replacement from {t: 2, d: 4, x: 2, g: 1}. What is prob of sequence dt?
1/9
Calculate prob of sequence tu when two letters picked without replacement from {k: 2, t: 2, c: 1, g: 1, u: 1}.
1/21
Calculate prob of sequence yck when three letters picked without replacement from {c: 1, y: 1, i: 1, j: 5, a: 4, k: 3}.
1/910
Three letters picked without replacement from tqtoqmrtttmtqtrq. What is prob of sequence rmq?
1/210
What is prob of sequence arfr when four letters picked without replacement from rfjrrifrjjfajjjjjrr?
5/5168
Two letters picked without replacement from {r: 16, u: 1, p: 3}. Give prob of sequence pr.
12/95
Four letters picked without replacement from sssossskssssososs. Give prob of sequence sokk.
0
Four letters picked without replacement from {s: 13, e: 1, u: 1, t: 2, f: 3}. What is prob of sequence sefu?
13/38760
Three letters picked without replacement from wzhwhwmwwzwhhbmw. Give prob of sequence zmz.
1/840
Calculate prob of sequence jj when two letters picked without replacement from {q: 2, w: 1, j: 2}.
1/10
Calculate prob of sequence lct when three letters picked without replacement from {l: 7, t: 1, c: 3, j: 5}.
1/160
Two letters picked without replacement from {o: 1, d: 1, u: 1, e: 1, t: 1}. What is prob of sequence dt?
1/20
What is prob of sequence afjy when four letters picked without replacement from {h: 2, j: 1, y: 2, f: 1, a: 1, t: 1}?
1/840
What is prob of sequence nnen when four letters picked without replacement from {c: 3, u: 1, t: 2, n: 5, e: 6}?
3/476
Calculate prob of sequence ccm when three letters picked without replacement from {m: 18, c: 1}.
0
Calculate prob of sequence clca when four letters picked without replacement from {l: 3, a: 9, c: 4}.
27/3640
Three letters picked without replacement from vvvmmvvvvm. What is prob of sequence mmm?
1/120
Two letters picked without replacement from {j: 6, b: 1, d: 7, i: 2, r: 1}. Give prob of sequence bj.
3/136
What is prob of sequence qyoq when four letters picked without replacement from {y: 4, o: 3, q: 5}?
2/99
What is prob of sequence jwwj when four letters picked without replacement from jjjjjwwjwjwwwwwjwjjj?
22/323
What is prob of sequence hlc when three letters picked without replacement from {h: 3, t: 1, c: 2, q: 5, l: 6}?
3/340
Two letters picked without replacement from {a: 2, j: 1, h: 1, i: 1}. What is prob of sequence ah?
1/10
Four letters picked without replacement from ttnvtnnnvncc. Give prob of sequence vvct.
1/990
What is prob of sequence gc when two letters picked without replacement from {s: 1, v: 4, g: 4, c: 3, e: 1, r: 2}?
2/35
Two letters picked without replacement from {a: 1, h: 2, b: 1}. Give prob of sequence ah.
1/6
What is prob of sequence hbhb when four letters picked without replacement from wbwbhwwbwhbwb?
1/429
Two letters picked without replacement from {r: 1, t: 2, k: 2, h: 1, s: 2}. What is prob of sequence rh?
1/56
Calculate prob of sequence nyn when three letters picked without replacement from bbcccnybbbybnqy.
1/455
What is prob of sequence zhpr when four letters picked without replacement from raqhqqzqpazp?
1/2970
Two letters picked without replacement from jjjtjjavjjwjjjljj. What is prob of sequence lv?
1/272
What is prob of sequence lsgl when four letters picked without replacement from ggllslssl?
1/42
Three letters picked without replacement from {w: 1, g: 8, t: 8}. What is prob of sequence wgt?
4/255
Three letters picked without replacement from vvvnlvlnv. Give prob of sequence nln.
1/126
Four letters picked without replacement from wfwwwwwwwwwwwwwwwwwf. Give prob of sequence wwff.
1/190
Four letters picked without replacement from wwgwwgwwwwwgwwwwwwgg. What is prob of sequence wwwg?
455/3876
Four letters picked without replacement from {q: 2, n: 8, w: 4}. Give prob of sequence nnwn.
8/143
Calculate prob of sequence hcvt when four letters picked without replacement from {v: 7, c: 1, k: 4, h: 1, t: 4}.
1/2040
Calculate prob of sequence www when three letters picked without replacement from wwwwwww.
1
Calculate prob of sequence rrf when three letters picked without replacement from rfrrrrrrrfrrrrrrrrrr.
17/190
Four letters picked without replacement from {d: 1, j: 1, l: 2, s: 1, k: 2, f: 2}. What is prob of sequence ffdj?
1/1512
Two letters picked without replacement from pppkpdpkkpdpkk. Give prob of sequence kd.
5/91
What is prob of sequence wo when two letters picked without replacement from wotoowwwwow?
12/55
Calculate prob of sequence gy when two letters picked without replacement from qygnn.
1/20
Three letters picked without replacement from acrc. What is prob of sequence rac?
1/12
Three letters picked without replacement from {n: 2, p: 7, r: 4}. Give prob of sequence pnp.
7/143
Three letters picked without replacement from tyytytllyyyy. Give prob of sequence yll.
7/660
Four letters picked without replacement from nfnffunnnnuun. What is prob of sequence nunf?
63/2860
Four letters picked without replacement from siiiisi. Give prob of sequence isis.
1/21
Three letters picked without replacement from {k: 1, v: 2, t: 1, h: 1, z: 2}. Give prob of sequence zvv.
2/105
What is prob of sequence uo when two letters picked without replacement from {u: 5, o: 7}?
35/132
What is prob of sequence rr when two letters picked without replacement from {f: 1, r: 5, e: 1, q: 1, b: 1}?
5/18
What is prob of sequence px when two letters picked without replacement from pkxmp?
1/10
Two letters picked without replacement from {a: 1, y: 1, b: 1, x: 1, h: 1}. What is prob of sequence hb?
1/20
Three letters picked without replacement from cnsta. Give prob of sequence sna.
1/60
Three letters picked without replacement from rrereerreerrrrrrrer. What is prob of sequence rer?
52/323
Calculate prob of sequence aaaa when four letters picked without replacement from axaaxxxaxx.
1/210
Three letters picked without replacement from booefyyoylb. Give prob of sequence yyy.
1/165
What is prob of sequence ooo when three letters picked without replacement from {o: 3}?
1
Calculate prob of sequence cg when two letters picked without replacement from vhzzzzgzc.
1/72
Two letters picked without replacement from {n: 7, i: 5, f: 2}. What is prob of sequence nn?
3/13
Four letters picked without replacement from {o: 1, l: 1, m: 1, p: 3, z: 2, h: 3}. What is prob of sequence lozm?
1/3960
What is prob of sequence gzzz when four letters picked without replacement from zzggzggggg?
1/120
Four letters picked without replacement from ssswmssssssmsshmmsww. Give prob of sequence whws.
1/1615
Two letters picked without replacement from {i: 1, e: 1, h: 3, t: 1, g: 1}. What is prob of sequence ii?
0
Calculate prob of sequence yn when two letters picked without replacement from nnnewwwwyy.
1/15
Four letters picked without replacement from uuxxuuxxxxuux. What is prob of sequence uxxu?
21/286
Calculate prob of sequence okok when four letters picked without replacement from kouukukuokukokkkkum.
3/646
What is prob of sequence ac when t | {
"pile_set_name": "DM Mathematics"
} |
563/39115 or -1?
563/39115
Which is bigger: 2333452 or 2333454?
2333454
Is 19141922 smaller than 19141923?
True
Are 26359 and 20863 equal?
False
Which is greater: -7952 or -2027863/255?
-7952
Which is greater: -2 or -9032/8161?
-9032/8161
Which is greater: 1945/2 or 1416.6?
1416.6
Which is smaller: 20928146 or 20928144?
20928144
Is -9567153 >= -9567149?
False
Is -625522/227 bigger than -2756?
True
Which is smaller: 590 or -764?
-764
Which is greater: -30958 or -30652?
-30652
Which is greater: 1/26374007 or 0?
1/26374007
Is -187891/2 greater than or equal to -6?
False
Is -289806/89 < 0.1?
True
Are -789106 and -789110 equal?
False
Which is smaller: -242068 or -242089?
-242089
Which is smaller: 80515 or 885677/11?
80515
Is -36547 greater than -36560?
True
Is 344 > -33.1359?
True
Which is smaller: -1 or 121/3321?
-1
Is -59233 greater than -59358?
True
Which is bigger: 13000271 or 13000257?
13000271
Which is bigger: -19089894 or -19089895?
-19089894
Is 2/7 less than 304952166?
True
Which is greater: 89 or 312300?
312300
Which is bigger: -236164879 or -236164880?
-236164879
Which is smaller: 28/827517 or 0?
0
Which is smaller: 15/42203687 or 0?
0
Are 31134890 and 31134889 non-equal?
True
Is -1 >= -842/563439?
False
Which is smaller: 2.892098 or -0.1?
-0.1
Are 63/51959795 and 1 non-equal?
True
Is 377192 greater than 377154?
True
Which is greater: 387761 or 86/9?
387761
Which is greater: -6527 or 3787?
3787
Is -905676/271 at least -3342?
True
Which is smaller: 7/24767 or -102?
-102
Which is bigger: -5/55752 or -4.1?
-5/55752
Which is bigger: -5 or 2629389?
2629389
Which is greater: 518447.8 or -0.94?
518447.8
Which is smaller: 4995975 or 4995822?
4995822
Which is bigger: 6/6536233 or 1?
1
Which is smaller: -2 or 3.6173257?
-2
Which is smaller: 406032786 or 406032787?
406032786
Is 1 smaller than -1/22147453?
False
Which is smaller: -3290 or -8204?
-8204
Are 2598249 and 3/7 equal?
False
Are -4 and -49205/10238 equal?
False
Which is smaller: -8/2029809 or 1?
-8/2029809
Which is bigger: -43146965 or -43146968?
-43146965
Which is greater: -806 or -557549/691?
-806
Is 3872678/9 at least -0.2?
True
Which is bigger: 5976612 or 5976611?
5976612
Are -1 and -12/35887999 nonequal?
True
Which is smaller: 708635/68 or 10420?
10420
Is 0.4 <= 1/1993723?
False
Is -157879 smaller than -159785?
False
Which is smaller: 21 or 7/242988?
7/242988
Is 15928 at least 16051?
False
Which is greater: 27739 or 26722?
27739
Which is smaller: 9479255 or 9479260?
9479255
Is -4173807 at least as big as -70954713/17?
False
Which is smaller: 3590/10571 or 0?
0
Which is smaller: 568322/4057 or 139?
139
Is 129399 < -48?
False
Is -9405 >= -272743/29?
False
Which is greater: -6241446 or -49931557/8?
-49931557/8
Is 0.3377 less than or equal to -975?
False
Are -15865 and 147 equal?
False
Is 1807827 less than 1807836?
True
Which is greater: 1795560 or 7/5?
1795560
Which is smaller: -3185299/5 or 3/4?
-3185299/5
Is -24/24907 <= 2/5?
True
Is 37078885 at least as big as 37078885?
True
Is 7497 bigger than 7578?
False
Is -63079596 at least as big as 2/5?
False
Is -449977 < -449850?
True
Are -43392 and 62/417 non-equal?
True
Is 30674303 greater than or equal to 30674305?
False
Which is smaller: -15.54 or -116.9?
-116.9
Which is bigger: -435960 or 200?
200
Is -31554198 smaller than -31554198?
False
Is 57463806 greater than or equal to 57463805?
True
Is 0.1028 < -165.61?
False
Which is smaller: -27389829 or -27389827?
-27389829
Which is smaller: 72966 or -2/29?
-2/29
Is 2915.8 less than -3.43?
False
Is 165631 greater than 165712?
False
Are -51836833 and -51836832 non-equal?
True
Is -213789/1336 at least -159?
False
Is -51945727 <= -51945732?
False
Is 827385 greater than or equal to 827387?
False
Which is smaller: 1/2 or 89606151?
1/2
Is 851304 > 851503?
False
Is 3/35106112 at least 1?
False
Which is smaller: 246776/349 or 708?
246776/349
Is -420026 less than -420000?
True
Are 113/2 and 1823.5 nonequal?
True
Which is greater: 1 or -2387/17728?
1
Which is greater: 345 or 0.35895?
345
Which is smaller: -2172075 or -2172071?
-2172075
Are 17/6 and 2/6128611 non-equal?
True
Which is smaller: -1091 or -173323/159?
-1091
Is -2374.52 >= 508?
False
Does 1860459 = 1860453?
False
Which is smaller: 158433 or 1?
1
Is 7 bigger than -7537696?
True
Do -390336 and -2 have the same value?
False
Which is smaller: 1814136 or 1814135?
1814135
Which is smaller: -334269 or 783?
-334269
Is 364127.96 at most -1?
False
Which is bigger: 39734/1915 or 20?
39734/1915
Is 1010341 at least 1010266?
True
Is -1433925 > -1433913?
False
Which is smaller: 683622 or 4785348/7?
4785348/7
Which is smaller: -281.374 or 55/16?
-281.374
Which is smaller: 0 or -6449/22947?
-6449/22947
Is 1484045 greater than or equal to 1484054?
False
Is -25.67 equal to -2/847433?
False
Is -113/33940 at least -4/3?
True
Which is bigger: 86920 or 83496?
86920
Is 2 < 38950129?
True
Is -21620 equal to -23631?
False
Is 5946553 not equal to 5946554?
True
Is 1153.25 smaller than -2/13?
False
Which is smaller: -42 or -196955?
-196955
Which is smaller: -127.98285 or 15?
-127.98285
Which is bigger: 17319 or 18859?
18859
Is 1697155508 less than or equal to 1697155509?
True
Is -44458590 != -44458587?
True
Which is bigger: 45942459 or 45942455?
45942459
Is -1 != -0.476286434?
True
Is 546161 greater than or equal to 546158?
True
Is -46127 > -2.89?
False
Which is smaller: 303/1333 or 1?
303/1333
Is 37035 equal to 555526/15?
False
Which is smaller: -16 or 3216421?
-16
Are -1563294 and 144 equal?
False
Which is bigger: 102039716 or 102039717?
102039717
Which is greater: -6 or -114513/18995?
-6
Which is greater: 5241 or -573?
5241
Which is bigger: -280917 or -45?
-45
Is 21/73 equal to -19924?
False
Which is greater: -1046026244 or -1046026242?
-1046026242
Is -1781724 not equal to -1781717?
True
Which is smaller: -532996/55 or -9691?
-9691
Are 788/151727 and 1 non-equal?
True
Which is greater: 4425 or 2895?
4425
Do -114521 and -114528 have the same value?
False
Is -0.2099 at least 1/4144?
False
Which is smaller: -13 or -9851720?
-9851720
Which is smaller: 4.84 or -231/10?
-231/10
Is 2388074/1415 >= 1687?
True
Is -83796986/5 > -16759396?
False
Is 2130.13 less than 23?
False
Are 3016049 and 27144430/9 equal?
False
Is -31400 at least as big as -32/3?
False
Are -180490199 and -180490200 unequal?
True
Which is smaller: 29372914 or 29372909?
29372909
Is 730397 < 730393?
False
Which is bigger: 35/519044 or 1?
1
Is -108986090 <= -108986089?
True
Which is greater: 122313096 or 122313093?
122313096
Which is smaller: -1 or -197117231?
-197117231
Which is bigger: -3998805/13 or -307599?
-307599
Is -2/83529 equal to 503?
False
Is 0 bigger than -1537/299633?
True
Which is greater: 3/5 or 42401.681?
42401.681
Is 3852946 at least 2?
True
Are 0.562 and 104.07 equal?
False
Which is bigger: -2/93866415 or 1?
1
Is 356 equal to 366863/1030?
False
Which is greater: 1/433 or 1195/3?
1195/3
Is -1/2 > -7632367?
True
Which is bigger: -5325267 or -5325280?
-5325267
Is 2730 greater than or equal to -1/1786?
True
Which is greater: -44829/43420 or 0?
0
Which is smaller: 2 or 9296136?
2
Which is bigger: 17839 or 17342?
17839
Which is smaller: 94548996 or -4?
-4
Is 1261236 < -125?
False
Which is smaller: 25/1370226 or -1?
-1
Do 0.2 and 27672/59 have the same value?
False
Which is smaller: -3550455 or -3550405?
-3550455
Is -5763258 < -5763259?
False
Is 1121601 greater than or equal to 1121582?
True
Do 38012 and 38787 have the same value?
False
Is -1 at least -40/21268113?
False
Which is bigger: 375295145 or 375295146?
375295146
Which is smaller: 14111597 or 14111600?
14111597
Which is smaller: -31/3999132 or 1?
-31/3999132
Which is bigger: -20.6 or 2592267?
2592267
Which is greater: -89113 or -86914?
-86914
Are 1132579 and 1132558 equal?
False
Which is greater: -0.249 or -2/1010437?
-2/1010437
Is -281434 at least -9/11?
False
Which is smaller: -1510634 or -1510630?
-1510634
Which is smaller: -6009591 or -6009521?
-6009591
Is 177121 equal to 177762?
False
Is -1431952/73 >= -19615?
False
Is 2.1268854 at least as big as 0.48?
True
Do -214284302 and -214284299 have the same value?
False
Are 0 and -31/2319508 equal?
False
Which is smaller: 22642/45515 or -1?
-1
Is -13646 equal to -9005?
False
Is -66/39966473 > - | {
"pile_set_name": "DM Mathematics"
} |
. Give k(7).
-1569
Let x(g) = -22*g**2 + 2485*g + 100. Determine x(113).
-13
Let h(n) = -60*n**2 - 62*n - 13. Give h(-1).
-11
Let h(x) = -x**2 - 4930*x - 97658. Give h(-20).
542
Let t(f) = 171*f**2 - 13517*f + 682. Determine t(79).
50
Let o(s) = -1886*s + 416760. Give o(221).
-46
Let v(g) = 240429*g + 1683020. Determine v(-7).
17
Let b(h) = 131706*h - 658468. What is b(5)?
62
Let v(n) = 3*n**2 + 31*n + 181. Calculate v(-7).
111
Let c(j) = 5*j**2 - 222*j - 582. Determine c(47).
29
Let q(r) = 208*r + 38427. Determine q(-183).
363
Let o(p) = -p**3 + 23*p**2 - 124*p - 210. Give o(13).
-132
Let g(q) = 28793*q - 259147. Give g(9).
-10
Let t(z) = 4*z**3 - z**2 - 234*z + 13. What is t(0)?
13
Let s(d) = -162*d - 22624. Calculate s(-145).
866
Let a(u) = 40022*u - 1160678. What is a(29)?
-40
Let s(n) = -n**3 + 133*n**2 + 266*n + 1198. Give s(135).
658
Let h(v) = v**3 - 1251*v**2 + 6574*v - 428595. Calculate h(1246).
29
Let k(l) = 4*l**2 - 127*l + 698. Determine k(31).
605
Let i(z) = -144*z + 5162. Calculate i(41).
-742
Let i(h) = 2*h**3 - 254*h**2 - 4885*h + 192. Give i(-17).
5
Let k(b) = -b**2 - 6810*b - 149344. Determine k(-22).
-8
Let f(i) = -3*i**2 + 47*i - 205. Give f(18).
-331
Let s(m) = -1272*m + 28982. Calculate s(22).
998
Let y(t) = -42964*t - 472580. Determine y(-11).
24
Let p(s) = -438*s**3 + 1920*s**2 - 1924*s + 2. Calculate p(1).
-440
Let u(k) = -999*k**2 + 33966*k + 149. Determine u(34).
149
Let q(r) = 2*r**3 - 13*r**2 - 100*r + 81. Determine q(0).
81
Let d(a) = 2*a**3 + 68*a**2 - 30*a - 77. Determine d(-34).
943
Let f(d) = d**3 - 81*d**2 + 1685*d - 2237. Give f(43).
-44
Let w(r) = 10892*r - 1655764. Give w(152).
-180
Let s(o) = -o**3 + 220*o**2 + 3032*o - 290. Calculate s(-13).
-329
Let p(b) = 7340*b - 66058. Give p(9).
2
Let j(d) = -10*d**2 - 9561*d + 38366. Give j(4).
-38
Let m(f) = 843*f - 23130. What is m(31)?
3003
Let y(o) = -2*o**3 - 150*o**2 + 66*o + 7510. What is y(-75)?
2560
Let k(o) = 3280*o - 16411. What is k(5)?
-11
Let v(r) = -13*r**2 - 1715*r + 1748. Calculate v(-133).
-114
Let v(g) = g**3 - 6*g**2 - 165*g - 29. Give v(-10).
21
Let j(u) = u**3 + 246*u**2 - 986*u + 2492. Determine j(-250).
-1008
Let o(n) = -n**3 + 175*n**2 + 2789*n + 2013. Give o(-14).
11
Let v(q) = -q**3 + 93*q**2 - 1876*q + 1274. Determine v(64).
-6
Let p(w) = 11272*w + 56268. What is p(-5)?
-92
Let r(n) = -20*n**2 + 126*n + 2000. What is r(0)?
2000
Let b(f) = 682*f - 15803. Calculate b(23).
-117
Let x(v) = 4*v**3 + 115*v**2 + 954*v + 2238. What is x(-4)?
6
Let q(a) = 10427*a + 9603268. Give q(-921).
1
Let d(s) = -142*s**2 + 3263*s + 52. What is d(23)?
-17
Let f(a) = 31*a**2 + 8744*a - 8341. Determine f(-283).
-134
Let m(v) = 3*v**2 + 3684*v + 25720. Give m(-7).
79
Let r(b) = b**3 + 38*b**2 - 41*b - 180. Calculate r(-38).
1378
Let p(h) = -1473*h - 27971. Give p(-19).
16
Let w(a) = -4*a**3 + 71*a**2 + 288*a - 5755. What is w(17)?
8
Let p(x) = 585*x + 11691. What is p(-21)?
-594
Let v(h) = -210*h**3 + 8*h**2 + h - 10. Give v(1).
-211
Let h(i) = -165884*i + 17915463. Calculate h(108).
-9
Let o(b) = b**3 - 5*b**2 - 153*b + 3. Give o(-12).
-609
Let s(g) = -2*g**3 + 21*g**2 - 482*g + 4259. Determine s(9).
164
Let s(m) = m**3 - 114*m**2 - 27733*m - 592. Calculate s(-119).
122
Let t(z) = 11186*z + 436231. Give t(-39).
-23
Let o(a) = -1434*a - 43053. Calculate o(-30).
-33
Let z(f) = -6*f**2 + 38*f + 237. Give z(-4).
-11
Let n(q) = 2*q**3 + 50*q**2 + 294*q - 95. Give n(-15).
-5
Let a(p) = 2225*p**2 + 224727*p + 198. What is a(-101)?
-4
Let g(j) = 15051*j - 10896941. Calculate g(724).
-17
Let n(t) = -22819*t - 296867. Determine n(-13).
-220
Let j(u) = -4*u**3 - 377*u**2 - 86*u + 754. Determine j(-94).
2
Let w(o) = -1902*o + 35397. Calculate w(19).
-741
Let u(n) = -352*n - 30389. Calculate u(-82).
-1525
Let j(y) = -y**3 - 155*y**2 + 646*y + 1729. Calculate j(-159).
139
Let q(c) = 22*c**2 - 1307*c - 6471. Determine q(64).
-7
Let x(p) = p**3 - 5*p**2 + 77*p - 385. Determine x(5).
0
Let t(s) = 280956*s - 561853. Calculate t(2).
59
Let a(c) = 129110*c + 2323982. Give a(-18).
2
Let a(f) = 58*f**2 - 10845*f - 161. What is a(187)?
26
Let n(v) = v**3 + 21*v**2 - 398*v + 130. Determine n(-28).
5786
Let s(o) = 141*o + 1002. Give s(-7).
15
Let u(z) = -z**2 + 296*z + 29253. Give u(-76).
981
Let n(y) = y**3 + 424*y**2 + 44369*y + 222. Determine n(-236).
-14
Let v(k) = k**3 + 286*k**2 + 7231*k - 902. Calculate v(-258).
-2708
Let q(b) = b**3 - 5*b**2 - 739*b + 83. Give q(-25).
-192
Let p(h) = h**2 - 1866*h + 68366. Give p(38).
-1098
Let s(h) = -h**3 - 425*h**2 - 1256*h + 4230. What is s(-422)?
10
Let j(q) = 4*q**3 - 38*q**2 - 23*q - 8. Give j(11).
465
Let z(v) = 380*v + 1890. Give z(-5).
-10
Let x(q) = -6*q**2 + 11509*q + 104105. What is x(-9)?
38
Let w(c) = -191633*c + 27595167. Calculate w(144).
15
Let i(y) = 11385*y - 4986643. Determine i(438).
-13
Let b(f) = -f**3 - 472*f**2 - 9896*f + 1784. Determine b(-450).
-16
Let w(v) = -193*v**2 - 22*v + 39. Determine w(2).
-777
Let t(g) = 55315*g - 1382813. Calculate t(25).
62
Let p(q) = -14*q**2 + 171*q - 616. What is p(4)?
-156
Let v(t) = 1032*t + 376671. Give v(-365).
-9
Let p(a) = a**3 + 55*a**2 + 201*a + 10878. Determine p(-55).
-177
Let m(t) = 6*t**3 + 38*t**2 - 35*t - 68. Calculate m(-7).
-19
Let x(p) = -686*p + 136010. Calculate x(197).
868
Let r(c) = 1093*c + 419702. Calculate r(-384).
-10
Let i(u) = -2220*u - 46197. Calculate i(-21).
423
Let t(o) = -272*o**2 - 563*o - 30. Calculate t(-2).
8
Let d(s) = 37*s**2 - 6851*s + 7907. Calculate d(184).
-5
Let r(v) = 10378*v + 425487. Give r(-41).
-11
Let z(w) = 3*w**3 - 4537*w**2 - 9093*w - 27. Calculate z(-2).
-13
Let x(p) = 2*p**3 - 465*p**2 - 32293*p + 1054. Determine x(-56).
-10
Let h(z) = 30*z**3 + 30*z**2 - 191*z + 157. What is h(1)?
26
Let m(n) = n**3 - 1269*n**2 + 4*n + 19. Give m(0).
19
Let v(f) = f**3 - 39*f**2 - 57*f + 838. Calculate v(40).
158
Let x(y) = 264*y**2 - 2455*y - 8603. Give x(12).
-47
Let g(b) = -3*b**2 - 801*b + 11593. Give g(-282).
-1097
Let g(v) = -9*v**3 + 63*v**2 + 3204*v - 22415. Calculate g(7).
13
Let q(v) = -2*v**3 + 32*v**2 + 33*v - 966. Calculate q(6).
-48
Let t(d) = -27*d**2 + 67*d + 86. Give t(-1).
-8
Let i(x) = -2*x**3 - 70*x**2 - 510*x - 16. Calculate i(-20).
-1816
Let t(k) = 18*k**2 - 2083*k + 45170. What is t(29)?
-99
Let k(l) = 2*l**3 - 198*l**2 - 19*l + 1171. Determine k(99).
-710
Let x(r) = r**2 - 327241*r + 3926746. Give x(12).
-2
Let g(v) = -3*v**3 - 80*v**2 - 534*v - 305. Determine g(-10).
35
Let x(w) = -w**2 - 156*w - 2864. Give x(-19).
-261
Let y(d) = 613*d**3 + 9*d**2 - 11*d + 1. What is y(1)?
612
Let c(f) = f**3 - 1957*f**2 + 23390*f - 608. What is c(12)?
-8
Let g(t) = t**2 + 1424*t + 347675. Give g(-313).
-68
Let v(k) = 207*k + 2316. Give v(-6).
1074
Let z(v) = -3*v**2 - 313*v + 2650. Calculate z(8).
-46
Let b(l) = 30*l**2 + 7938*l + 63418. Determine b(-8).
1834
Let v(o) = 2*o**3 - 24*o**2 - 144*o + 1750. Determine v(10).
-90
Let z(a) = 2*a**3 - 117*a**2 - 254*a + 18196. Give z(58).
100
Let y(d) = 30*d**2 - 2741*d + 920. Calculate y(91).
-81
Let d(r) = -r**3 - 32*r**2 + 486*r - 1837. Give d(-44).
11
Let q(h) = 2033*h - 4003. Give q(2).
63
Let d(s) = -28691*s + 6713703. Calculate d(234).
9
Let n(d) = d**3 + 64*d**2 + 707*d + 98. What is n(-14)?
0
Let z(o) = o**2 - 10065*o + 430945. Determine z(43).
-1
Let l(r) = 24*r**2 - 562*r - 323. Determine l(24).
13
Let b(u) = -6260*u + 12520. What is b(2)?
0
Let t(f) = -3*f**2 - 390*f + 185. Give t(-131).
-208
Let u(n) = 305*n**2 - 7522*n - 103. Determine u(25).
2472
Let s(z) = -9*z**3 - 1492*z**2 - 1159*z - 626. What is s(-165)?
34
Let z(p) = p**3 - 7*p**2 - 32*p + 890. Determine z(-10).
-490
Let r(d) = 5*d**2 + 210*d + 139. Give r(-40).
-261
Let a(w) = -9732*w + 175174. Give a(18).
-2
Let x(q) = 58618*q + 6389366. Give x(-109).
4
Let m(f) = -241*f + 21375. Give m(89).
-74
Let v(y) = -332*y - 2078. Give v(-6).
-86
Let g(j) = j**3 - 74*j**2 - 1023*j - 853. Calculate g(86).
-79
Let o(h) = h**3 - 48*h**2 + 86*h - 1825. Calculate o(47).
8
Let b(s) = -380*s - 18779. Determine b(-50).
221
Let l(a) = -17*a**3 + 113*a**2 - 185*a + 78. What is l(1)?
-11
Let v(b) = -787*b + 41670. What is v(53)?
-41
Let r(y) = 745*y - 327834. Give r(440).
-34
Let c(r) = 30*r**2 - 37*r + 75. What is c(-3)?
456
Let p(m) = 18 | {
"pile_set_name": "DM Mathematics"
} |
. Let f be u/10*10/2. What is the units digit of 10*(-1)/(4/f)?
5
Let u(j) = j - 1. Let v be u(3). Let w be ((3 + -3)/v)/2. Suppose w = 4*k + 1 - 5. What is the units digit of k?
1
What is the tens digit of 13 - (4/5 - (-4)/20)?
1
Suppose 3*c - 156 = -3*i, -5*c + 9 - 85 = -i. What is the units digit of i?
6
Let l = 57 - -7. What is the tens digit of l?
6
Let k(r) = 3*r + 9. Let y be k(-6). Let d = 16 + y. What is the units digit of d?
7
Suppose -q + 2*z = -116, 3*q + 3*z - 225 = q. What is the tens digit of q?
1
Suppose 156 = -4*p + 2*p. Let j = p + 109. What is the units digit of j?
1
Let j = 9 - 13. What is the units digit of (-1)/j - 275/(-20)?
4
Let y = 16 + -28. Let r = -10 - y. What is the units digit of r?
2
Let o(k) = -71*k**3 + 3*k**2 + 2*k. What is the units digit of o(-1)?
2
Suppose 2*h - 29 = i - 7, 2*h + 5*i - 10 = 0. What is the units digit of h?
0
Suppose 0*l + 4*l - 60 = 0. Let o be 423/l - (-2)/(-10). Suppose d - 5*d = -o. What is the units digit of d?
7
Suppose 372 = -9*n + 2316. What is the units digit of n?
6
Suppose -t - 2*t = 12. Let o be 2/8 - 67/t. Let g = o - 12. What is the units digit of g?
5
Suppose -8*x + 15 = -11*x. Let b(h) = h**3 + 7*h**2 + 4*h - 1. What is the units digit of b(x)?
9
Let p(f) = f**3 + 4*f**2 - 4*f + 5. Let s be p(-5). Suppose s = -2*j - j - 42. Let q = -8 - j. What is the units digit of q?
6
Let o = 3 - 2. Let b(z) = 19*z**2 + 2*z - 1. Let n be b(o). Suppose -3*w - 29 = -2*i, -i + n - 8 = -w. What is the units digit of i?
7
Suppose 0 = 4*n + n - 55. What is the units digit of (-14)/77 + 68/n?
6
Let w(n) = n**3 + 5*n**2 - 2*n - 7. What is the units digit of w(-5)?
3
Suppose 2*k = 3*k - 4. Let l(s) be the first derivative of s**2/2 + 1. What is the units digit of l(k)?
4
Suppose 154 = r + s - 89, -5*s - 954 = -4*r. What is the tens digit of r?
4
Suppose 9 = 2*x - 61. What is the units digit of x?
5
Let x = -29 - -69. What is the units digit of x?
0
Let s = 11 + -5. Suppose -2*j + 14 + s = 0. What is the tens digit of j?
1
Let a be (-2 + 3 - 2)/1. Let f be ((0 + a)*13)/(-1). Suppose 3*h + m - f = -0, 5*m + 31 = h. What is the units digit of h?
6
Let y(w) = 5*w + 3. Suppose 0 = -4*s - 0*s + 20. What is the tens digit of y(s)?
2
Let j(k) = -3*k**3 + k**2 + 3*k + 18. What is the hundreds digit of j(-5)?
4
Let h be (15 + -1)/(15 + -13). Suppose -3*a = -h*a + 52. What is the units digit of a?
3
Let x = 3 - 0. What is the tens digit of ((-2)/x)/(2/(-39))?
1
Let l(b) = b + 5 + 8 + 6. What is the units digit of l(-13)?
6
Let s = -37 - -71. What is the units digit of s?
4
Suppose f = -4*g + 8*g - 128, -4*f + 128 = 4*g. What is the units digit of g?
2
Let d = -20 + 15. Let y(k) = -3*k**3 + 2*k**2 + 9*k + 11. Let f(l) = -4*l**3 + l**2 + 10*l + 12. Let r(z) = -4*f(z) + 5*y(z). What is the units digit of r(d)?
7
Suppose 0 = -4*b, 2*w = -0*w - 3*b + 700. What is the tens digit of w?
5
Let i(y) = -y**3 + 3*y**2 - 2*y + 3. Let x be i(2). Suppose 5*f + 4 = 9, -5*f = -x*m + 34. What is the tens digit of m?
1
Suppose 4*f + 13 + 7 = 0. What is the units digit of (-1)/(f + 4)*2?
2
What is the tens digit of (5/7 - 1) + 2001/21?
9
Suppose -4*k = -p + 159, -3*p + 0*k - 3*k + 462 = 0. What is the units digit of p?
5
Let v(u) = -u**2 - 5*u + 3. Let k be v(-5). Let b be (k + -3)/(-2 + 1). Suppose f - 57 = -5*g + 2*g, b = 4*f - 12. What is the tens digit of g?
1
Suppose 60 = l - 2*w, 4*l - 3*w + 10 - 240 = 0. Suppose 5*q - l = 44. What is the tens digit of q?
2
Let o(z) = -z**3 + 10*z**2 - 2*z + 8. Let d be 9 - 2/((-4)/2). Let i be o(d). Let u = 19 + i. What is the units digit of u?
7
What is the hundreds digit of (-6)/(-51) - (-1953)/17?
1
Suppose 39 - 6 = -3*c. Let v = c + 20. What is the units digit of v?
9
Let q(y) = y**3 + 3*y**2 + 2. Let o be q(-3). Let f = 12 - o. What is the units digit of f?
0
Let d = -594 + 838. What is the hundreds digit of d?
2
Let u(g) = g - 1. Let o be u(-7). Suppose 0*l - 4*l - 68 = 0. Let s = o - l. What is the units digit of s?
9
Suppose -4*a + 21 = 1. Suppose -3*b + 20 = -4*d, a*b - 11 = 3*b + 5*d. What is the units digit of b?
8
Let x be 2 - 2/(-6)*-3. What is the tens digit of (x + 1)*189/14?
2
Suppose -b + 20 = 4*b. Suppose 0 = 4*p - 3*x + 9, -b = -4*p - 4*x - 20. What is the units digit of (-3)/(1/(2/p))?
2
Let q = 3 - 6. Let t(a) = a**2 + 3*a + 1. What is the units digit of t(q)?
1
Suppose -2*a + 3*w = -120, 191 = a + 2*a + w. Suppose 5*b - a = 7. What is the units digit of b?
4
Suppose 5*w - 31 = -6. Suppose -3*f - 14 = -w*f. What is the units digit of f?
7
Let a be (-45)/(-20)*32/12. Let g = -32 - -62. Suppose 3*n + g = a*n. What is the tens digit of n?
1
Suppose 5*p = -0*p + 55. What is the units digit of p?
1
Let b(a) = 2*a**2 - 2*a. Let x be b(2). Suppose 15 = x*u - u + 3*t, -5*t = -5*u + 25. Suppose u*k - k - 56 = 0. What is the units digit of k?
4
Suppose 211 = -10*y + 11*y. What is the units digit of y?
1
Suppose -i - 3*z - 17 = 0, i - 4*z = z + 23. Let l be (15/9)/(i/(-12)). Suppose -5*s + 10 = -l. What is the units digit of s?
4
Let y(q) = -q**3 - 6*q**2 + 4*q + 9. What is the tens digit of y(-7)?
3
Suppose -23*a - 60 = -25*a. What is the tens digit of a?
3
Let d = -78 + 186. Suppose 0 = -4*z + 2*z - 5*t + d, -z + 3*t = -54. What is the units digit of z?
4
Let r(z) = z**3 - 5*z**2 - 11*z + 9. Let y be r(7). Let q be (-18)/(-4) + 3/(-6). Suppose -q*g - g = -y. What is the units digit of g?
6
Let i(y) = y**3 + 10*y**2 + 11*y + 7. Let w be i(-9). Let p be w/(-5) - (-4)/(-20). Suppose v - 3*h = -5, 8 = 2*v + p*v + 2*h. What is the units digit of v?
1
Let u(q) = -2*q - 3. Let d be u(-4). Suppose d = 4*m + 5*p, 2*m = -m - p + 1. Suppose -4*j + 9 = -5*s - 12, m = -2*j + s + 9. What is the units digit of j?
4
Suppose 0 = 3*r - 5*r - d, 6 = 4*r + 5*d. Let c be (1/(-4))/((-3)/24). What is the tens digit of (r + -1)*(-10)/c?
1
Suppose -l - 15 = -3*p, 9*p - 3*l = 4*p + 21. Suppose -p - 41 = -4*v + 5*o, -o - 19 = -2*v. What is the units digit of v?
8
Let g(j) = j**2 - 4*j + 3. Let t be g(3). Let x be 3/2*(2 - t). Suppose z + k = x*z - 5, 2*k + 4 = -2*z. What is the units digit of z?
1
Let k(y) = -5*y - 4. Let j be k(-3). Suppose p - 4*c = 7, -j = -p - 2*p + 2*c. Suppose 0 = -q - 3*q, 2*n = p*q + 10. What is the units digit of n?
5
What is the units digit of 3/6*-3*-54?
1
Let j(p) = p**3 - 7*p**2 - 5*p + 5. What is the tens digit of j(9)?
2
Let z = -63 - -38. Let f = z + 44. What is the units digit of f?
9
Let f(l) = -l**3 - 10*l**2 + 12*l + 7. Let v be f(-11). Let g = 5 - v. What is the units digit of g?
9
Let h(j) = j**2 - j - 4. Suppose y - 5 + 2 = 0. Let z be h(y). Suppose -z*p - p = -51. What is the units digit of p?
7
Let t(h) = h**3 + 5*h**2 - 6*h + 2. Let i be t(-6). Let f be (-20)/6*(-3)/2. Suppose 5*r - i*a - 2*a - 18 = 0, 3*r - 3 = f*a. What is the units digit of r?
6
Let p = 14 + 0. Suppose 2*i = 6*i + 20. Let t = p + i. What is the units digit of t?
9
Suppose -4*i + 984 = d + 379, -4*i - 4*d = -608. What is the tens digit of i?
5
Let f be (-345)/(-7) + 4/(-14). Suppose -f = -2*u - 13. What is the tens digit of u?
1
Suppose 0 = -2*d - 0*d - 6, 0 = n + 5*d + 22. Let f(o) = -o**2 - 7*o + 1. What is the units digit of f(n)?
1
Let a = 8 - 5. Suppose -2*m = -w, a*w = 5*m + 2 - 1. Suppose 3*c - 2*t = -2*c + 76, w*c - 16 = -4*t. What is the tens digit of c?
1
Let m = -3 + 3. Suppose m = 9*h - 8*h - 11. What is the units digit of h?
1
Let b = -236 + 368. What is the units digit of b?
2
Let f be 2*(-2)/((-8)/14). Let k(d) = 6*d. What is the units digit of k(f)?
2
Suppose 9*v - 4*v - 295 = 0. What is the units digit of v?
9
Let z be 30/(-24)*(-4 + 0). Suppose 145 = z*y + 20. What is the units digit of y?
5
Let b(w) = -1 + 5 - w**2 - 3. Let o be b(-1). Suppose -4 = 2*s - s, -m - 4*s - 8 = o. What is the units digit of m?
8
Let q = -5 - -7. Let g = 8 - q. What is the units digit of g?
6
Let b(z) = -1 + 2*z**2 + 2*z - 5*z**2 - 3*z**2. Let u be b(1). Let g = u + 11. What is the units digit of g?
6
Let h be (-3 + 1)/(-2) + 6. Let s = -3 + h. What is the units digit of s?
4
Let v be (-16)/6*(-3)/2. Suppose v*i = -7 + 51. What is the units digit of i?
1
Let o(w) = -2*w - 12. Let f be o(-6). Let k(n) = 2*n + 19. What is the tens digit of k(f)?
1
Suppose -4*g + 5 + 1 = -s, -2*s = -2*g. Let v | {
"pile_set_name": "DM Mathematics"
} |
qrt(204) + sqrt(204)*-1)*-5)/(-1*sqrt(48)).
0
Simplify 3*-6*(sqrt(432) + 2)**2.
-7848 - 864*sqrt(3)
Simplify (sqrt(294) + sqrt(294)*-1)/(sqrt(2) + -2*sqrt(98)).
0
Simplify (4*((sqrt(1331) + 0 - sqrt(1331)) + 0))**2.
0
Simplify 2 + sqrt(2) + -1 - sqrt(8)/(-1*sqrt(4)).
1 + 2*sqrt(2)
Simplify -4*2*(sqrt(160)/sqrt(4))/sqrt(8).
-8*sqrt(5)
Simplify ((sqrt(36)/sqrt(6) + sqrt(6))*-5)/sqrt(3).
-10*sqrt(2)
Simplify sqrt(114)/(-1*(-2*sqrt(6) + sqrt(6))).
sqrt(19)
Simplify 5*((sqrt(325) - (sqrt(325) + (4*sqrt(325)*2)**2)) + -2).
-104010
Simplify ((sqrt(832) + sqrt(832)*2)*6)**2*6.
1617408
Simplify (sqrt(11) - sqrt(99))*6 + (-5*sqrt(88)/sqrt(8) - sqrt(11)).
-18*sqrt(11)
Simplify -4 + -3*-1*sqrt(5)*4.
-4 + 12*sqrt(5)
Simplify -5*(sqrt(325) + 1 + sqrt(325) + sqrt(325))**2*5.
-73150 - 750*sqrt(13)
Simplify -4*(sqrt(125) + 1)*4 + 4.
-80*sqrt(5) - 12
Simplify ((sqrt(5) - -6*sqrt(25)/sqrt(5)) + -3)**2.
-42*sqrt(5) + 254
Simplify -6*sqrt(48).
-24*sqrt(3)
Simplify -2*(sqrt(304))**2 + sqrt(19) + sqrt(114)/(sqrt(216) + sqrt(6)).
-608 + 8*sqrt(19)/7
Simplify 2 + (-4*sqrt(17)*1)**2.
274
Simplify (-2 + 2 + 4*sqrt(300))**2.
4800
Simplify (sqrt(3) + 1 + sqrt(3) + -2 + 3)**2.
8*sqrt(3) + 16
Simplify sqrt(17)*4*5 + (sqrt(17)*4 + sqrt(17))*-2.
10*sqrt(17)
Simplify 6*(2*sqrt(180) + 1)**2.
144*sqrt(5) + 4326
Simplify (sqrt(48)/(sqrt(16)/sqrt(4)))/(sqrt(18)/sqrt(27)).
3*sqrt(2)
Simplify (sqrt(56)/sqrt(7))**2 - sqrt(16)/sqrt(2).
-2*sqrt(2) + 8
Simplify sqrt(70)/(sqrt(40)/(sqrt(12)/sqrt(3))).
sqrt(7)
Simplify (sqrt(12)*1 - sqrt(3)) + sqrt(3) - sqrt(12)/sqrt(4)*4.
-2*sqrt(3)
Simplify sqrt(3072)*-1.
-32*sqrt(3)
Simplify (-2*sqrt(99))/sqrt(9) + -1*sqrt(539).
-9*sqrt(11)
Simplify (((sqrt(567) + -1 + sqrt(567) + sqrt(567))*2 - (sqrt(567) + (0 + sqrt(567))*2)) + 5)**2.
162*sqrt(7) + 5112
Simplify 1 + ((sqrt(1053) + 1*sqrt(1053))**2 + sqrt(13) - (sqrt(13) - (-4 + sqrt(637)))).
7*sqrt(13) + 4209
Simplify 1*(2 + sqrt(475)*-1).
-5*sqrt(19) + 2
Simplify (((sqrt(150)*1)/sqrt(5))/(2*1*sqrt(6)))**2.
5/4
Simplify ((sqrt(1377) + -1 - sqrt(1377))*2)**2*1.
4
Simplify (sqrt(57)/(sqrt(9)/(sqrt(3) + sqrt(12)/sqrt(4)) + sqrt(3)))**2.
76/9
Simplify (sqrt(1210) - sqrt(1210)*-2 - sqrt(10))/((sqrt(50)*-1)/sqrt(10)).
-32*sqrt(2)
Simplify 0 + ((sqrt(45)*-3)/sqrt(9))**2.
45
Simplify (4*sqrt(847) - sqrt(847) - sqrt(847))*-1.
-22*sqrt(7)
Simplify (2*sqrt(171)*5)/sqrt(9).
10*sqrt(19)
Simplify (sqrt(1100)*-2)**2 + 0 + -3*(sqrt(1100) + 1 - sqrt(1100))**2.
4397
Simplify 1 + (sqrt(11) - (sqrt(11)*-1 + -2))*5*6.
61 + 60*sqrt(11)
Simplify 1*sqrt(19)*-6 + (4*sqrt(475))**2.
-6*sqrt(19) + 7600
Simplify (sqrt(2) + (sqrt(2) + -1 + sqrt(2) + 1 - sqrt(2)) + 3)**2.
12*sqrt(2) + 17
Simplify 0 + sqrt(98) + 0.
7*sqrt(2)
Simplify -2*4*sqrt(40)/sqrt(2).
-16*sqrt(5)
Simplify 3*(sqrt(2448) + -3 - sqrt(2448))**2.
27
Simplify ((-2*sqrt(136) - sqrt(136))*-5)/(sqrt(392)*3 + sqrt(8)).
15*sqrt(17)/22
Simplify sqrt(162) + 0 + 6*sqrt(10)/sqrt(5).
15*sqrt(2)
Simplify 0 + sqrt(300)*-2 + -3 + sqrt(3) + ((sqrt(243)*2)**2 - sqrt(243)).
-28*sqrt(3) + 969
Simplify sqrt(15)/(sqrt(125) - (sqrt(125) + sqrt(125) + -2*sqrt(125))).
sqrt(3)/5
Simplify 2*-1*sqrt(425).
-10*sqrt(17)
Simplify (-4 + sqrt(2)*2)*-2.
-4*sqrt(2) + 8
Simplify (sqrt(15)/(sqrt(3)*3))**2 + 5.
50/9
Simplify 1 + 6*(1*sqrt(612) + 5).
31 + 36*sqrt(17)
Simplify sqrt(1539) + 0 + sqrt(1539) - sqrt(1539) - (sqrt(19) + (-2 + (sqrt(19) - (sqrt(19) + sqrt(931))))**2).
-935 - 20*sqrt(19)
Simplify (-5 + sqrt(8) - -2*(0 + sqrt(2))**2) + -5.
-6 + 2*sqrt(2)
Simplify (0 + sqrt(300) - sqrt(6)/(sqrt(4)/sqrt(2))) + -3.
-3 + 9*sqrt(3)
Simplify -5*(sqrt(363) - (-6*sqrt(363)*2)**2).
-55*sqrt(3) + 261360
Simplify (sqrt(1800)*2)/(sqrt(9) + sqrt(648)/sqrt(2)).
20*sqrt(2)/7
Simplify (sqrt(350)*2)/(sqrt(28) + sqrt(28) + sqrt(112)/sqrt(4)).
5*sqrt(2)/3
Simplify sqrt(162)/sqrt(9) - (sqrt(2) + 2)*-2.
4 + 5*sqrt(2)
Simplify (-4*sqrt(450) - sqrt(18))**2.
7938
Simplify (sqrt(3) - (sqrt(12) + (sqrt(24)/sqrt(2))**2))*6.
-72 - 6*sqrt(3)
Simplify 3*(sqrt(448) + (sqrt(448) + 1 + -3)**2).
-72*sqrt(7) + 1356
Simplify 3 + ((sqrt(75)/sqrt(5))/sqrt(5) - sqrt(54)/sqrt(2)).
-2*sqrt(3) + 3
Simplify (sqrt(605)*-1 - sqrt(605) - (sqrt(75)/sqrt(5))/sqrt(3))**2.
2645
Simplify 0 + 3*sqrt(3)*-2.
-6*sqrt(3)
Simplify (sqrt(121)*-1*3)/sqrt(11).
-3*sqrt(11)
Simplify sqrt(19) + -2 + -1 - (sqrt(684) + -1).
-5*sqrt(19) - 2
Simplify sqrt(2176)/sqrt(2) - sqrt(2057)*2.
-14*sqrt(17)
Simplify ((1 + sqrt(98))*-6)**2.
504*sqrt(2) + 3564
Simplify sqrt(9)/(sqrt(21)/sqrt(7)*4).
sqrt(3)/4
Simplify 5*(sqrt(2) - (2*sqrt(2)*2)**2).
-160 + 5*sqrt(2)
Simplify sqrt(78)/(sqrt(48)/sqrt(8) + sqrt(6)) + (5*sqrt(78))/sqrt(6).
11*sqrt(13)/2
Simplify -5*-3*sqrt(208)/sqrt(4).
30*sqrt(13)
Simplify (sqrt(76) - ((-2 + -2*sqrt(76))**2 - sqrt(76)))*-1.
12*sqrt(19) + 308
Simplify sqrt(30)/(sqrt(10)*4 + sqrt(10)) - (2*sqrt(192))**2.
-768 + sqrt(3)/5
Simplify (sqrt(19) - (4 + sqrt(304) + sqrt(19)) - (sqrt(19) + sqrt(190)/(sqrt(10)*-2 + sqrt(10)) - sqrt(19)))**2*3.
72*sqrt(19) + 561
Simplify (sqrt(300)/sqrt(6)*-2 + 4)**2.
-80*sqrt(2) + 216
Simplify (4 + ((0 + sqrt(3) - sqrt(3))*5 - sqrt(3)))**2.
-8*sqrt(3) + 19
Simplify (-1 + sqrt(4400) - (sqrt(176)*2)/sqrt(4))**2*3.
-96*sqrt(11) + 8451
Simplify ((sqrt(3) + sqrt(9)/sqrt(3))*-1*4)**2.
192
Simplify (sqrt(176)/sqrt(4))/sqrt(4) + -1.
-1 + sqrt(11)
Simplify (sqrt(6)/(-2*sqrt(8)))**2.
3/16
Simplify ((2*sqrt(2744))/(sqrt(288)*-2))**2.
343/36
Simplify (sqrt(5) + sqrt(5) + -1 + sqrt(45))**2 - sqrt(50)/(sqrt(60)/sqrt(6)).
-11*sqrt(5) + 126
Simplify (-4*sqrt(84)*-1)/(sqrt(12) + sqrt(108)/(sqrt(54)/sqrt(6))).
2*sqrt(7)
Simplify -6*((sqrt(102) - -2*sqrt(102))/sqrt(6) - (-1 + sqrt(17) + -1))**2.
-432 - 48*sqrt(17)
Simplify (((sqrt(68) + (sqrt(68) - (-1*sqrt(68) + sqrt(68))) - sqrt(68))*5)/(sqrt(16)*5))**2.
17/4
Simplify (sqrt(204)/sqrt(3) + sqrt(51)/sqrt(3) + -2)*-1.
-3*sqrt(17) + 2
Simplify -1*(sqrt(95) + (sqrt(95) + (sqrt(95) - -2*sqrt(95)) - sqrt(95)) + sqrt(95))/sqrt(5).
-5*sqrt(19)
Simplify ((sqrt(833)*1)**2 - sqrt(833)) + sqrt(68)/sqrt(400).
-69*sqrt(17)/10 + 833
Simplify 2 + 4 + sqrt(108) + 0.
6 + 6*sqrt(3)
Simplify (sqrt(5) + 1 + 1)**2*-4.
-36 - 16*sqrt(5)
Simplify 4*(sqrt(1539) + -3 - sqrt(1539)).
-12
Simplify (sqrt(17) - ((3*sqrt(187) + sqrt(187) + sqrt(187) + sqrt(187))/sqrt(11) - sqrt(17)))**2 + -3.
269
Simplify sqrt(6)/(3*sqrt(3)*-1)*-1.
sqrt(2)/3
Simplify (-1*-4*sqrt(153))/sqrt(9).
4*sqrt(17)
Simplify ((sqrt(66) - (sqrt(66)*2 + sqrt(66))*-2)/((sqrt(6) + sqrt(24)/sqrt(4))*-2))**2.
539/16
Simplify (-4*(sqrt(98) + 1 - sqrt(98)) + -3 + sqrt(98) + -1)**2.
-112*sqrt(2) + 162
Simplify (-2 + sqrt(1700)*1)**2.
-40*sqrt(17) + 1704
Simplify (sqrt(104) + (sqrt(104) - 2*sqrt(104))*-5)/(sqrt(8) - sqrt(256)/sqrt(2) - sqrt(8) - sqrt(8)).
-6*sqrt(13)/5
Simplify (0 + sqrt(7) + 3 - sqrt(28)/(sqrt(24)/sqrt(6)))**2.
9
Simplify (-1 + -2*sqrt(14)/(sqrt(7) + sqrt(7) + sqrt(175)))**2.
4*sqrt(2)/7 + 57/49
Simplify (-4*(-2*sqrt(95) + sqrt(95) + sqrt(95)))/(-2*sqrt(5)*-4).
0
Simplify ((5 + (sqrt(3) - sqrt(12)/sqrt(4)) - (2*sqrt(147) - sqrt(3) - sqrt(3)))*6)**2.
-4320*sqrt(3) + 16452
Simplify sqrt(6)/(4*sqrt(108)) + -4.
-4 + sqrt(2)/24
Simplify -2*3*(sqrt(91)/(sqrt(7)*-5))**2.
-78/25
Simplify (sqrt(200) - (sqrt(200) + -3) - (sqrt(22)/sqrt(704) - sqrt(2)))**2.
21*sqrt(2)/4 + 337/32
Simplify sqrt(6)/(sqrt(18)*-1) + (sqrt(108)/sqrt(3))/sqrt(3).
5*sqrt(3)/3
Simplify ((1 + sqrt(176))*-4 - 5*(0 + sqrt(176)))**2.
288*sqrt(11) + 14272
Simplify sqrt(3) + sqrt(3) + sqrt(75)*-2 - (-3 + sqrt(9)/sqrt(3) + sqrt(3)).
-10*sqrt(3) + 3
Simplify sqrt(1573) + -2 + 4.
2 + 11*sqrt(13)
Simplify 1 + (sqrt(85) + 1*sqrt(85) - sqrt(85))/sqrt(5) + (-1 + sqrt(68) + sqrt(2448) + 1)**2.
sqrt(17) + 3333
Simplify (sqrt(5)*2 + 3)**2 + (sqrt(105)/sqrt(7))/sqrt(3).
29 + 13*sqrt(5)
Simplify (sqrt(76)/(sqrt(20)/sqrt(5)*6 - sqrt(4)))**2.
19/25
Simplify ((sqrt(672) + (sqrt(672) + 1*sqrt(672) - sqrt(672) - sqrt(672) - sqrt(672)) + sqrt(672))/sqrt(12))/(6*sqrt(8)*-1).
-sqrt(7)/6
Simplify 4*(sqrt(432) + 1 + 0).
4 + 48*sqrt(3)
Simplify (sqrt(156) - (sqrt(156) - (sqrt(156) - sqrt(156)*1)*2))/(sqrt(96)/(sqrt(8)*3)).
0
Simplify sqrt(153)*1 + (sqrt(612) + -1*sqrt(612) - sqrt(17)) + ((sqrt(272) + sqrt(272)*-1)*-5)**2.
2*sqrt(17)
Simplify 5*(sqrt(3) - (sqrt(3)*-1 + sqrt(3)) - sqrt(3)) - (1*sqrt(30 | {
"pile_set_name": "DM Mathematics"
} |
Let p be 136*(5 + -4) - -2. Let v = 228 - p. Calculate the highest common factor of 10 and v.
10
Let k = -135 - -156. Let m(f) = -17*f**3 + 4*f**2 + 3*f + 1. Let a be m(-2). Calculate the highest common factor of a and k.
21
Let g(c) = -c - 2*c + 8*c. Let k be g(4). Calculate the greatest common factor of 5 and k.
5
Let p = 32 - -25. Suppose 2*i = 75 + p. Calculate the highest common divisor of 22 and i.
22
Suppose 0 = -10*z - 139 + 379. Suppose -41*r = -36*r - 600. What is the highest common factor of z and r?
24
Let w(l) = 5*l - 65. Let a be w(15). What is the highest common factor of a and 30?
10
Suppose -5*y + 36 - 1 = 0. Let l = 19 + -12. What is the greatest common divisor of y and l?
7
Let z(f) = -f**2 - 19*f - 10. Let q be z(-18). What is the highest common factor of 232 and q?
8
Let v = -1554 - -1782. Calculate the greatest common factor of v and 108.
12
Suppose 0 = -29*a + 76*a - 940. What is the highest common factor of a and 24?
4
Let a(j) = -8*j + 3. Let q = 12 + -15. Let t be a(q). Let o = -31 + 40. What is the greatest common divisor of o and t?
9
Let t = 123 + -106. Let c = 75 - -44. Calculate the greatest common divisor of c and t.
17
Let g be -2*1/2*-9. Suppose 4*p - 2*x - 34 = -12, -3*x - 9 = 0. Suppose -y = -5*y + p. Calculate the greatest common divisor of g and y.
1
Suppose -7*v + 2*v = -3*h - 95, -2*v + 37 = -h. Let g(n) = -n**2 + 21*n - 26. Let m be g(v). What is the greatest common factor of 72 and m?
18
Suppose 0 = 35*b - 5604 - 276. Calculate the highest common divisor of 588 and b.
84
Let m be 49 + 1 - 0/64. Calculate the highest common factor of 1150 and m.
50
Let h(c) = c**3 + 5*c**2 + c + 8. Let y be h(-6). Let l = y - -64. Let j = 13 + -7. What is the highest common factor of j and l?
6
Let d be -3 + 12/2 - -6. Suppose -d*v + 12*v = 3. What is the highest common factor of v and 11?
1
Suppose -5*d + 2 + 13 = 0. Let w be (-1)/d - 8/(-6). Let n(v) = 10*v**3 - v**2 + 3*v - 2. Let o be n(w). What is the highest common divisor of 5 and o?
5
Let k = -227 + 238. Calculate the highest common divisor of k and 55.
11
Suppose 5*p - 9*p = -8. Let q = p + 4. Calculate the greatest common divisor of q and 15.
3
Suppose 6 + 116 = 4*f + 2*s, s - 145 = -5*f. Suppose 0 = -2*y - 607 + 621. What is the highest common factor of f and y?
7
Let d = -22 + 47. Let p be ((-19)/3)/(1/6). Let a = -28 - p. What is the highest common factor of a and d?
5
Let s be 215/15 + 2/3. Let r = s - 10. Suppose -280 = -5*u + r*i, 4*u + 0*i - 252 = -3*i. What is the greatest common divisor of 12 and u?
12
Let z = 72 - -68. What is the greatest common factor of 60 and z?
20
Let j be 0 + 0 + -1 - -271. Let p(u) = 32*u**2 - 314*u - 316. Let g be p(-1). Calculate the greatest common factor of j and g.
30
Let m = 166 - 156. Suppose c - 2*b = 2*c - 21, c - 5*b - 35 = 0. What is the highest common divisor of m and c?
5
Let h(k) = k**2 - 23*k + 175. Let c be h(18). Calculate the greatest common divisor of 935 and c.
85
Suppose -272 = 47*p - 15312. Calculate the highest common divisor of 10 and p.
10
Suppose 0 = -4*f + 3*g + 85, 0 = 2*f - 4*g + 5 - 35. Calculate the highest common divisor of f and 35.
5
Let x = 139 + -130. Let q be (-6)/(-15) - (-228)/(-20). Let n = q + 47. What is the highest common divisor of x and n?
9
Let p(l) = 3*l**3 + 4*l**2 - 3*l - 1. Let j be p(4). What is the greatest common factor of j and 27?
27
Let s(l) = 7 + 9 - l - 12 - 5*l. Let y be s(-1). Let x(k) = -4*k + 6. Let g be x(-6). What is the greatest common factor of y and g?
10
Suppose -4*l + 166 = -3*y, -y + 5*l + 14 = 62. Suppose -z - 48 = -5*z. Let f be z/(-42) - y/7. What is the highest common factor of f and 40?
8
Let w be ((-13)/(-4))/(2/(-16)). Let l = 27 + w. Let m = 6 - -2. Calculate the greatest common factor of l and m.
1
Suppose 0 = -5*n - 24 + 94. Let v = 5496 - 5342. What is the highest common factor of v and n?
14
Let d(x) = 4*x - 9. Suppose -5*r = -q + 24, -4*q - 5*r + 30 = q. Let z be d(q). Calculate the greatest common factor of 9 and z.
9
Let o = 1 + 33. Let z be ((-4)/6)/((-67)/3417). Calculate the highest common factor of o and z.
34
Let p(q) = -6*q**2 + 20*q**3 + 5*q**2 - 24 + 22 + 3*q. Let y be p(1). Calculate the highest common factor of 180 and y.
20
Suppose 3*m + 9 = -2*v, 0 = v - 4*m + 2*m - 6. Let u be (-3)/1 + v/(-2). Let z be ((-1)/u)/(6/36). Calculate the greatest common divisor of z and 4.
2
Let k(d) = 12 - 5 + 64*d - 66*d + d**3 - 2*d**2. Let w be k(3). What is the greatest common divisor of w and 10?
10
Suppose -639 = -i + k, -3*i + 5*k + 1095 = -814. Suppose 0 = -n + 3*c + 314, -2*n + i = 2*c - 5*c. Calculate the highest common factor of 47 and n.
47
Let r = 10 - 10. Suppose r = -c - 3*c + 76. What is the highest common divisor of 76 and c?
19
Suppose -4*i + 564 = g + 212, -3*g = 3*i - 264. Let o = 5 + -2. Let a be (13 + -1)*2/o. What is the greatest common divisor of i and a?
8
Let w be (6/18)/(2/12). Suppose 1 = -h - 5*y, -w*h - y = y + 2. Let q be 6 + -2 + h - -25. What is the greatest common factor of q and 4?
4
Suppose y = -s + 99, -5*s - y = -6*y - 545. Suppose 5*i + h - 4*h - s = 0, 0 = 2*i - 3*h - 38. What is the highest common factor of 44 and i?
22
Let g be (80/(-2))/4*1. Let f be (8/10)/(2/g). Let s be 12*(-3 + 1)/f. Calculate the greatest common factor of 42 and s.
6
Let x be (120/100)/(2/5). Let q be 3 + 11/1 + x. Suppose -357 = -3*k - 0*k. What is the greatest common divisor of q and k?
17
Suppose 97*g = 94*g + 1416. What is the highest common divisor of 59 and g?
59
Suppose 3*x = -3*m + 45, -7*x + 6*x + m + 5 = 0. Calculate the greatest common factor of 15 and x.
5
Let x = -2187 + 2196. Calculate the highest common factor of 30 and x.
3
Let i(p) = -10*p - 3. Let o be i(-3). Let m = 82 - 21. Let q = o + m. What is the highest common factor of 11 and q?
11
Let o = 239 - 167. Calculate the highest common divisor of o and 9.
9
Let i be ((-3)/(1 - 4))/((-3)/(-24)). Calculate the highest common factor of 122 and i.
2
Let c(x) = -41*x - 36. Let b be c(-1). Calculate the highest common divisor of b and 565.
5
Let x(c) = -c**3 - 3*c**2 + c - 3. Let m be x(-4). Let l be (m + 1)*22/4. What is the highest common factor of 22 and l?
11
Suppose -b + 20 = 3. Let x be (-170)/15*12/(-8). Calculate the greatest common divisor of b and x.
17
Let d = 651 - -39. What is the highest common factor of 30 and d?
30
Suppose 52 = 3*t - 377. Suppose 7*g - 5*g - 26 = 0. What is the highest common factor of t and g?
13
Suppose -265*q + 110*q + 4960 = 0. Let w be (-194)/(-4) + 1/(-2). What is the highest common factor of q and w?
16
Let p(d) = d**2 + 5*d - 3. Let m be p(-10). Let k = m - -17. Calculate the greatest common factor of k and 16.
16
Let m(t) = 18 - t + t**2 + 7*t - 11*t + 2*t**2. Let a be m(5). What is the highest common factor of a and 17?
17
Suppose -4*l - 13 + 61 = 0. Let v = -9 + l. Let g be 6*v - (1 - 0). What is the highest common factor of 17 and g?
17
Let j = 518 - 506. What is the greatest common factor of 108 and j?
12
Suppose 8*w - 88 = -14*w. What is the greatest common factor of 32 and w?
4
Let u = 220 - 163. Let x = 1 - 3. Let b be (-1)/(-2)*x*-19. Calculate the greatest common factor of u and b.
19
Suppose 2*c - 2 = -0. Suppose -i + 0*i = -3*k + 32, 3*i + 5*k = -26. Let u be (i/34)/(1/(-6)). Calculate the greatest common divisor of c and u.
1
Let b(k) = -4*k - 6. Suppose 3*c - c + 10 = 0. Let y be b(c). Suppose -3*w - 19 = -u, 2*u - 13 = w + 5. Calculate the greatest common divisor of u and y.
7
Let n be (-11)/((8/6)/2 - 1). Suppose 2*t = 3*t - 363. What is the greatest common factor of n and t?
33
Suppose -k - 1 = -0*k, 3*o - 3*k - 135 = 0. Calculate the greatest common divisor of 66 and o.
22
Suppose -37*l + 16992 = -13*l. Calculate the highest common divisor of 12 and l.
12
Let n = -2143 - -3007. Calculate the highest common factor of n and 12.
12
Let z = -7156 - -7166. Let m(y) = -y**3 + y + 8. Let u be m(0). Let v = 62 + u. Calculate the highest common divisor of v and z.
10
Suppose 0 = -7*l + 8*l - 10. Let j = l - -30. Calculate the highest common divisor of j and 20.
20
Let v be 37/7 + 30/(-105). Let c be 3*7/(-21) - -6. What is the highest common divisor of c and v?
5
Suppose -2*u - 95 = -5*k, 4*k + 0*k - 88 = 4*u. Calculate | {
"pile_set_name": "DM Mathematics"
} |
1 w.
1/51
What is prob of picking 1 y and 1 p when two letters picked without replacement from dyhkpby?
2/21
Three letters picked without replacement from {a: 2, h: 2, i: 6, v: 3, r: 5}. Give prob of picking 1 v and 2 i.
15/272
Four letters picked without replacement from gcofpggogcgzfcggg. Give prob of picking 1 z, 1 g, and 2 c.
6/595
What is prob of picking 1 z, 1 c, and 1 n when three letters picked without replacement from nncnnzmzzzcnnnn?
64/455
Calculate prob of picking 4 k when four letters picked without replacement from khhkhkkhhkhh.
1/99
Calculate prob of picking 1 t, 1 r, and 1 p when three letters picked without replacement from {p: 1, r: 1, t: 1, a: 3, d: 1}.
1/35
Two letters picked without replacement from ceh. Give prob of picking 1 h and 1 e.
1/3
Two letters picked without replacement from wwcbwcw. Give prob of picking 1 w and 1 b.
4/21
Two letters picked without replacement from {f: 1, o: 3, l: 6, d: 4}. Give prob of picking 2 o.
3/91
What is prob of picking 4 y when four letters picked without replacement from {y: 6, r: 3, f: 3, n: 5, i: 1}?
1/204
Four letters picked without replacement from {q: 4, s: 6}. What is prob of picking 3 s and 1 q?
8/21
What is prob of picking 3 h when three letters picked without replacement from {w: 5, h: 3}?
1/56
Three letters picked without replacement from tlletlelm. Give prob of picking 3 l.
1/21
Three letters picked without replacement from {n: 8, j: 1, s: 3, b: 1, z: 6}. What is prob of picking 1 j and 2 z?
5/323
What is prob of picking 1 r and 1 f when two letters picked without replacement from {f: 1, p: 3, r: 3}?
1/7
Four letters picked without replacement from omoemoeoemoe. Give prob of picking 1 e and 3 o.
8/99
What is prob of picking 2 n and 2 p when four letters picked without replacement from {n: 4, j: 2, i: 4, p: 3, y: 3}?
9/910
Two letters picked without replacement from vhkkvkhk. Give prob of picking 1 v and 1 h.
1/7
Calculate prob of picking 1 j and 1 n when two letters picked without replacement from jnnbnbnlbnb.
1/11
Calculate prob of picking 1 q, 1 x, and 1 c when three letters picked without replacement from {c: 1, q: 10, v: 1, x: 5}.
5/68
Three letters picked without replacement from {j: 1, b: 1, n: 2, x: 2, i: 1}. What is prob of picking 1 i, 1 n, and 1 b?
2/35
Three letters picked without replacement from tthtttttthtttthhhtt. Give prob of picking 2 t and 1 h.
455/969
Three letters picked without replacement from drrhdrdhrrrdd. Give prob of picking 1 d and 2 r.
75/286
Two letters picked without replacement from rrrrrcanrracrcnn. Give prob of picking 2 a.
1/120
What is prob of picking 2 j when two letters picked without replacement from pbpjrppbjb?
1/45
Three letters picked without replacement from nnnononoonnonnnoonn. Give prob of picking 3 n.
220/969
Two letters picked without replacement from zzzztzzazatazzizaztz. What is prob of picking 2 z?
33/95
What is prob of picking 1 f, 1 e, and 1 y when three letters picked without replacement from foefyytbfoyff?
15/286
Calculate prob of picking 2 q and 2 c when four letters picked without replacement from {c: 3, q: 7}.
3/10
What is prob of picking 2 t and 2 d when four letters picked without replacement from tdtdt?
3/5
Two letters picked without replacement from {l: 7, d: 4, f: 7}. What is prob of picking 1 l and 1 f?
49/153
Four letters picked without replacement from {s: 5, b: 2, p: 8, t: 2}. What is prob of picking 1 t, 2 b, and 1 p?
4/595
Three letters picked without replacement from {w: 6, z: 4}. Give prob of picking 3 z.
1/30
Calculate prob of picking 2 n when two letters picked without replacement from avaaavnnnnaaannana.
7/51
Four letters picked without replacement from {e: 2, g: 1, b: 4, u: 1, i: 2, r: 2}. What is prob of picking 1 i, 1 b, 1 e, and 1 g?
16/495
Two letters picked without replacement from jzkkkzhkzjukk. Give prob of picking 2 k.
5/26
Three letters picked without replacement from {v: 4, b: 3, d: 5}. What is prob of picking 3 v?
1/55
Three letters picked without replacement from sxsxsllssxxxxssx. Give prob of picking 1 s and 2 x.
21/80
Calculate prob of picking 2 g when two letters picked without replacement from uhouuoooouuhuwgugu.
1/153
Two letters picked without replacement from {r: 3, e: 5, i: 2}. Give prob of picking 1 i and 1 r.
2/15
Three letters picked without replacement from izhuhdhddurrduddd. Give prob of picking 1 z and 2 h.
3/680
Three letters picked without replacement from {a: 2, i: 1, j: 2, h: 1, m: 1, u: 1}. Give prob of picking 2 a and 1 j.
1/28
Two letters picked without replacement from mddmdndmmmnd. What is prob of picking 2 m?
5/33
Three letters picked without replacement from wdyjyyeyxyxyyxdyyw. What is prob of picking 1 x, 1 w, and 1 j?
1/136
What is prob of picking 1 n and 1 s when two letters picked without replacement from fnsnnennsfffnnfffff?
14/171
Two letters picked without replacement from {k: 3, h: 4, y: 1, u: 1, x: 4, b: 2}. What is prob of picking 1 h and 1 k?
4/35
Three letters picked without replacement from ehhhhhhhhhhhehhheh. What is prob of picking 3 h?
455/816
Two letters picked without replacement from pxxxxsppxxxspipsxs. What is prob of picking 2 p?
10/153
What is prob of picking 3 j when three letters picked without replacement from jjuju?
1/10
Three letters picked without replacement from {x: 1, l: 8, i: 1, c: 9}. What is prob of picking 3 l?
56/969
Four letters picked without replacement from {y: 4, p: 15}. What is prob of picking 1 y and 3 p?
455/969
What is prob of picking 1 x and 1 n when two letters picked without replacement from {n: 2, x: 1, d: 1, s: 3}?
2/21
What is prob of picking 1 a and 2 u when three letters picked without replacement from {u: 7, a: 5, p: 1}?
105/286
Two letters picked without replacement from {i: 2, j: 1, z: 1, y: 3}. Give prob of picking 1 z and 1 i.
2/21
Two letters picked without replacement from {w: 1, r: 6, t: 12}. What is prob of picking 1 r and 1 t?
8/19
Three letters picked without replacement from {e: 1, v: 18}. What is prob of picking 3 v?
16/19
Two letters picked without replacement from {x: 7, s: 4, u: 5}. Give prob of picking 1 u and 1 x.
7/24
Calculate prob of picking 2 r and 1 h when three letters picked without replacement from rhrhhrhrrrrhrrrhrr.
33/68
Four letters picked without replacement from {z: 7, u: 1, y: 3, i: 2, c: 5}. What is prob of picking 1 z, 1 u, and 2 i?
7/3060
What is prob of picking 1 h and 1 u when two letters picked without replacement from upcchhruhuukucuupu?
8/51
What is prob of picking 2 j when two letters picked without replacement from {c: 2, j: 4}?
2/5
Four letters picked without replacement from {a: 3, d: 5, r: 1, c: 7}. What is prob of picking 1 d and 3 r?
0
What is prob of picking 1 t and 2 g when three letters picked without replacement from jjtjtjttjggjjj?
1/91
Two letters picked without replacement from {u: 1, x: 1, h: 1}. Give prob of picking 1 x and 1 h.
1/3
Calculate prob of picking 2 z, 1 o, and 1 i when four letters picked without replacement from {z: 3, i: 7, o: 2}.
14/165
Two letters picked without replacement from {e: 2, q: 1, m: 1, a: 3}. What is prob of picking 1 m and 1 e?
2/21
Three letters picked without replacement from huhuhuj. What is prob of picking 1 u, 1 j, and 1 h?
9/35
Two letters picked without replacement from khhhkhkhhhh. Give prob of picking 2 k.
3/55
What is prob of picking 2 r and 2 u when four letters picked without replacement from {m: 1, u: 6, r: 8, d: 3}?
7/51
Calculate prob of picking 2 p when two letters picked without replacement from {o: 7, b: 2, n: 3, w: 1, p: 4, f: 1}.
2/51
Calculate prob of picking 1 v and 2 f when three letters picked without replacement from mfmfffmv.
3/28
Three letters picked without replacement from {a: 2, d: 1, f: 1, v: 3}. What is prob of picking 1 d, 1 a, and 1 v?
6/35
Calculate prob of picking 1 k and 2 q when three letters picked without replacement from tttqqqtppk.
1/40
Three letters picked without replacement from rzzz. Give prob of picking 3 z.
1/4
Four letters picked without replacement from {p: 1, x: 2, d: 5, v: 1, h: 2, e: 2}. What is prob of picking 2 h, 1 d, and 1 e?
2/143
What is prob of picking 2 s and 2 m when four letters picked without replacement from rsssmmsrsrrssrs?
4/195
What is prob of picking 1 i and | {
"pile_set_name": "DM Mathematics"
} |
to -3 in -1, q, 0.5?
-1
Let m = 0.26 - 0.16. What is the closest to m in 1/7, -4, -1/2?
1/7
Let q = 0.85 - 0.15. Let y = q + 2.3. Let l = 2.8 - y. Which is the nearest to 2? (a) l (b) -3 (c) 5
a
Let i = -15.9 - -16.9. Which is the closest to i? (a) -2/3 (b) -0.5 (c) -0.1
c
Let j = 14 + -18. What is the nearest to 2/7 in -3, -0.4, j?
-0.4
Let o = -0.43 - 0.07. What is the nearest to -0.1 in -2, o, -3?
o
Let r be -2*(48/(-15) + 3). Which is the nearest to -1? (a) 4 (b) r (c) 1
b
Let h = 11/14 - 2/7. Let y(q) be the third derivative of -q**4/24 + 2*q**3/3 - 3*q**2. Let s be y(5). What is the closest to h in -0.4, s, 0.3?
0.3
Let v = 5 + -40. Let r = v + 33. Let g be (8/(-3))/(-2)*3. What is the nearest to 2 in g, -2/11, r?
g
Let z be 2/4*4 - -1. Let q(d) = d**3 + 5*d**2 + d + 7. Let u be q(-5). Suppose h - u = -0. What is the nearest to -1 in h, z, -1/4?
-1/4
Let o = -1.7 + 1.6. Which is the closest to 0.13? (a) o (b) 2/7 (c) -1
b
Let t = 2 + -5. Let m = 1.4 + -1. Let f = 1/121 + 21/121. Which is the nearest to f? (a) -5 (b) t (c) m
c
Let n = -271/924 + 1/132. Let w(y) = y**3 + y**2 - y - 2. Let q be w(2). Suppose -4*l - 4 = 5*m - 18, 4*m = q. What is the nearest to l in n, -0.3, -2?
n
Let g be (-10)/12 + (-6)/(-9). What is the closest to -0.1 in -0.1, 4, g?
-0.1
Let n = 251 - 252.39. Let s = -1.5 - n. Let c = 0.01 + s. What is the nearest to c in -2/21, -1, -5/3?
-2/21
Let f = 0.04 - 5.04. Let x = 8 - 5. Let s = x + -1. What is the closest to s in f, -4, -0.1?
-0.1
Let l = -24 + 20.3. Let n = -1.9 - l. Let d = -0.2 - n. Which is the closest to 1? (a) 2 (b) d (c) 2/13
c
Let b = -2 + 5. Let m = b + -2.6. Let c = -3 + 4. What is the nearest to c in 1/2, 4, m?
1/2
Suppose 4*n - 2*n - 2 = 0. Let h be 2*n*(-10)/(-40). Which is the closest to h? (a) 3/7 (b) 5 (c) -1/4
a
Suppose -4*m + 4*d + 39 - 7 = 0, -3*m = -4*d - 29. Which is the closest to 2/3? (a) m (b) -1/2 (c) 4
b
Let o = 0.1 - 0.4. Let l be (0 + -1)*-1*-1. What is the closest to l in o, 0.4, 3?
o
Suppose -k - 4 = -6. Let y be k + (-1)/(-5)*-8. What is the closest to 0.1 in y, -1, 0?
0
Let i = -9.5 + 11. Let h = i - 1.9. Let g be 4/7*2/(-8). What is the closest to -0.1 in -0.2, g, h?
g
Let u = -321 + 321. Let t = -3 - -1. Let v = -0.24 - 0.06. Which is the closest to 2? (a) t (b) u (c) v
b
Let n = -3 - -5. Suppose -8 = 9*j - 5*j. Let r(d) = -2*d**2 - 3*d - 1. Let k be r(-2). Which is the closest to n? (a) -0.5 (b) j (c) k
a
Suppose 0 = -d + 5*d - 16. Let p = 0.9 + -0.8. Which is the nearest to p? (a) d (b) 2/3 (c) -4
b
Let i = -12.2 + 12. Which is the closest to 1? (a) 1 (b) i (c) -1/4
a
Let m = -1046/3 - -341. Let w = m - -106/15. What is the nearest to w in 4, 2/5, 3?
2/5
Let r = 183/4 - 46. What is the nearest to 1 in -4, -0.5, r?
r
Let q be (-1)/5 + 833/(-210) + 4. Which is the closest to q? (a) 1/3 (b) -2/9 (c) 1
b
Let b be 3/(-6)*0 - 4. What is the closest to 0 in 2/67, -0.2, b?
2/67
Let k = 18.2 - 20. Let q = k + 0.8. Suppose 0 = x - d + 2, -3*x - 4*d + 8 = -4*x. What is the closest to -2/7 in x, 0.4, q?
x
Let o = 3 - -1. Let k = -4.3 + o. Let j = k - -2.3. What is the closest to -1 in 0, 0.5, j?
0
Let t = -0.2 - 0.8. Let m = 93/5 - 19. What is the closest to m in t, 5, 0.1?
0.1
Suppose 4 = -2*j + j. Let p = -7 + 12. What is the nearest to 1 in 2/5, j, p?
2/5
Let n = 9236/19 - 486. Let x = -83 + 251/3. Let r = -8.6 + 9. What is the closest to 0.1 in x, n, r?
n
Let r be 4/(-3 + 4 + 1). Let y = 2 - r. What is the closest to -2 in -1, -2, y?
-2
Let n = -1.4 - -0.4. Let q = -0.6 + 0.7. Suppose -2*i + 3*s = 13 + 7, i = -2*s + 4. Which is the nearest to q? (a) i (b) n (c) 0.5
c
Let s = -2/103159 - 707354/1134749. Let i = -10/11 - s. Which is the nearest to i? (a) -3 (b) 2/3 (c) -0.5
c
Let q = -4.05 + 0.05. Let d = -37.7 - -38. Which is the nearest to 1? (a) d (b) -0.5 (c) q
a
Let m = 8 + -12. Let b = -3 - m. What is the nearest to -2/5 in b, 1/8, -5?
1/8
Let w = 60 + -60.5. Let j = 7.7 + -9. Let b = j - -0.3. What is the closest to b in w, 1/3, -3?
w
Let g = 1.1 - 0.6. What is the nearest to 0 in 3, 2/7, g?
2/7
Let k = -1.795 - 0.225. Let z = k - -0.02. Which is the closest to z? (a) 5 (b) -3/5 (c) -0.2
b
Let x = -0.01 + -0.27. Let q = x - -0.08. Which is the closest to 0? (a) 5/2 (b) -5 (c) q
c
Let i = -0.54 - 0.41. Let p = 0.05 - i. What is the closest to p in -5, -0.3, 0.5?
0.5
Let u = 0.13 + -0.13. Suppose 5*f + 10 = 5*a, 3 = 2*a - 0*a - f. What is the closest to a in -4, 4, u?
u
Let d be 4 + 68/(-20) + -1 + 0. Which is the closest to 2? (a) -0.1 (b) d (c) 4/5
c
Let d = 3.3 + -3.3. What is the closest to d in -1/12, -4, 7/5?
-1/12
Let j be (-4)/(-30) - (-1 - -1). Let l = -9.96 + 10. Let k = -0.46 - l. What is the closest to -2/7 in j, k, 5?
k
Let u = 0.8 - -0.2. Let y = -0.137 - -2.137. Which is the closest to u? (a) -5 (b) 0.3 (c) y
b
Let s = 0.31 + -0.3. Let t = -0.01 + s. Let h = -0.46 + 0.06. Which is the closest to t? (a) h (b) 4 (c) 5/2
a
Let n = 0.2 + -0.1. Let s = -44 - -45. Which is the nearest to 1/3? (a) 5 (b) n (c) s
b
Let v = -13 + 55/4. Which is the nearest to 1? (a) 5 (b) v (c) 0.3
b
Let p = 14 + -11. Let d be p*(-3 - (0 + -2)). Let r = -2.01 + 0.01. Which is the closest to 0.1? (a) r (b) d (c) 4
a
Let n = 2 + 0. Let t be 12/27*(-1)/n. Which is the closest to 2? (a) t (b) -3 (c) 3
c
Let x = -0.023 + 0.023. What is the nearest to x in -0.3, -15, -2/7?
-2/7
Let w = 85/4 + -21. What is the closest to 0.2 in 1/5, 5, w?
1/5
Let c be (0 - (-1)/4) + 399/(-380). What is the nearest to -2 in c, 0.5, 2/7?
c
Let n = -127/3 + 42. Suppose -20*o + 16*o + 4 = 0. Let c = 5.01 + -0.01. What is the closest to n in c, 4, o?
o
Let f = -28 - -25.93. Let o = f - -0.07. What is the closest to 0.1 in 1/3, -1, o?
1/3
Let m be 4/6 - (2 + 0). Let f = 1 + m. Suppose 2*q = 5*p - 20, -5*q - 6 - 19 = 0. What is the nearest to 1/3 in -1/7, f, p?
-1/7
Let z = -0.94 - -0.84. Let r = -0.8 + 0.3. Which is the nearest to z? (a) r (b) 0 (c) -2/21
c
Let b = -59 + 64. Let l be 1/(-3) - (-5)/24. What is the closest to 0 in b, l, 1?
l
Let x = 14 + -69/5. Let p be (44/33)/(5/(-3)). Which is the nearest to x? (a) p (b) -1 (c) 1/7
c
Let d = -3.7 - -4. Let v = d - 0.4. Let l(r) = -2*r - 10. Let s be l(-7). Which is the nearest to v? (a) s (b) 0 (c) 2
b
Let x = 282 - 4792/17. Which is the nearest to -1? (a) 4/3 (b) x (c) 3/2
b
Let p = -27 - -32.7. Let u = 1.3 - 7.3. Let x = p + u. Which is the closest to 0.1? (a) 1/3 (b) x (c) 1
a
Suppose -2*f = 3 - 13. Let g be -1 - -7*(-2)/(-18). Which is the nearest to -0.1? (a) g (b) 2 (c) f
a
Let j = 7 + -12. Which is the nearest to -0.02? (a) 0.4 (b) 0.3 (c) j
b
Suppose 14 = 3*t - 1. Which is the nearest to -1/3? (a) t (b) -14 (c) -0.2
c
Let y = 0.62 + 0.08. Let z = 1.7 - y. Let f = -0.2 + 0.4. Which is the closest to -1? (a) z (b) f (c) 2
b
Let x = 27 - 24. Which is the closest to -2/7? (a) 4 (b) -5 (c) x
c
Let q = 11 + -3. Let i = 8.3 - q. Let d = 0.07 - -0.13. Which is the closest to d? (a) i (b) 4 (c) 3
a
Let t = -62 + 61.5. Which is the nearest to t? (a) -2 (b) 4 (c) 0.2
c
Let o = -7 - -2. Let u = 0.59 + -0.86. Let k = u - -1.27. What is the closest to k in o, 3, 0.3?
0.3
Let y be (0 + 15)*(-1)/3. Which is the nearest to -1/2? (a) y (b) -1/5 (c) 0
b
Let l = -44 + 39. Which is the nearest to 1? (a) l (b) 3/4 (c) -0.3
b
Let f = -179 + 117. Let j = f - -309/5. Which is the nearest to 0.1? (a) -2/11 (b) j (c) 4
a
Let t be 0 + (0 - 12/(-30)). Let o = -3 + 2. What is the closest to o in -5, -0.4, t?
-0.4
Let j = 5 + -4.9. Which is the closest to j? (a) -3 (b) 5 (c) -0.4
c
Let j = 5 + -5.2. Let v = -0.01 + 2.01. What is the nearest to j in v, 3, -5?
v
Let l = 301 - 3911/13. What is the nearest to 0.1 in l, 3, 1?
l
Let n = 42.1 + -42. Which is the nearest to n? (a) -0.3 (b) 1/4 (c) 0.3
b
Let t = -5 - -11. Let m be 3/(-6) + (-617)/t. Let n = 102 + m. Which is the nearest to 0.1? (a) n (b) -1 (c) -2
b
Let x = 6 + -4.8. Let g = x + -0.7. Let h = -1 + 0.9. What is the closest to 1/2 in h, g, 4?
g
Let v = 0.13 - 4.13. What is the nearest to -1 in -1/4, 3, v?
-1/4
Let h = 27 + -80/3. What is the nearest to h in 2/7, -4/3, -1?
2/7
Let c(w) = w**2 + 11*w + 15. | {
"pile_set_name": "DM Mathematics"
} |
260
Simplify (4*sqrt(143)*-1*4)/(sqrt(110)/(sqrt(40)/sqrt(4)) - sqrt(99)*1).
8*sqrt(13)
Simplify (sqrt(28)/(sqrt(2) - 2*sqrt(2)*3))/(sqrt(28)/(sqrt(16)/(sqrt(4) - (2*sqrt(4) + sqrt(4))))).
sqrt(2)/10
Simplify (sqrt(3888) + (sqrt(3888) - 6*-2*sqrt(3888))**2 - ((sqrt(3888) + 0 - sqrt(3888)) + 2)**2) + 0 + 0.
36*sqrt(3) + 657068
Simplify (-3*sqrt(475)*-2 - 4*(sqrt(475) + 2))**2 + 4 + 1 + 2.
-160*sqrt(19) + 1971
Simplify (-2*sqrt(384)*-2)/(sqrt(288)*-1 + 2*sqrt(98)).
16*sqrt(3)
Simplify sqrt(1331) + sqrt(1331) + (sqrt(1331) + (2*sqrt(1331))**2)*-1 - (sqrt(275)*-3 + 6*sqrt(55)/sqrt(5))**2.
-6215 + 11*sqrt(11)
Simplify -1 + ((1*(sqrt(85) - sqrt(85)*-3) + sqrt(85) - sqrt(85) - sqrt(85))/sqrt(5))**2*-4.
-613
Simplify -4 + -1*sqrt(1008) + 1 - -6*(-3*sqrt(1008)*-1 + sqrt(1008)).
-3 + 276*sqrt(7)
Simplify (1 + sqrt(1053) + 0 + 3 + sqrt(1053)*-1 + (1 + sqrt(1053) + 0 - (sqrt(1053) + 3*2*sqrt(1053))))**2 + -2.
-540*sqrt(13) + 37931
Simplify 4 + (sqrt(72)/sqrt(6)*-4)/(sqrt(324)*-3).
4*sqrt(3)/27 + 4
Simplify -2 + -4*(sqrt(847)*1)**2*4.
-13554
Simplify ((sqrt(90)*1 - sqrt(640))/((-3*sqrt(288)*-2 - sqrt(288)) + sqrt(288)))**2.
125/5184
Simplify -3 + sqrt(12) + sqrt(3) + -4 - (sqrt(243) - (sqrt(243) - -1*sqrt(243)) - sqrt(6)/(sqrt(2) - -2*sqrt(2) - sqrt(2))).
-7 + 25*sqrt(3)/2
Simplify -5 + (1 + sqrt(1088) - sqrt(1088))**2 + -3 + -5 + 3*((sqrt(170) + (sqrt(170) - sqrt(170)*-2 - sqrt(170) - sqrt(170)))/sqrt(10) + sqrt(17))**2.
447
Simplify (-3 + (-2*sqrt(17) + 0 - (-1 + sqrt(51)/sqrt(3) + sqrt(17) + sqrt(17))) + (sqrt(119) + -1*sqrt(119)*1)/((sqrt(63) + 2*sqrt(63))/sqrt(9)))**2.
20*sqrt(17) + 429
Simplify (-3 + (-4 + 1*sqrt(3) - (1 + sqrt(108) + sqrt(108))))**2 + ((sqrt(3) + 2)*-1)**2 + 3 + 1.
180*sqrt(3) + 438
Simplify sqrt(117)/(sqrt(225)*-3) - sqrt(143)/(-5*sqrt(275)).
-2*sqrt(13)/75
Simplify ((sqrt(98) - 2*(sqrt(98) - sqrt(98)*-1))/sqrt(2))/(-4*sqrt(28)/sqrt(4) - (sqrt(84)/(sqrt(12) - sqrt(12)*-2) + sqrt(7))).
9*sqrt(7)/16
Simplify ((-1 + 1*sqrt(704) + -2 + (-2 + sqrt(704) + sqrt(704) + sqrt(704) - sqrt(704)) + sqrt(704))*4)**2 + 5.
-5120*sqrt(11) + 180629
Simplify (-3*sqrt(264)/(sqrt(44)/sqrt(4)))/(sqrt(24)/sqrt(32) + sqrt(12) + -2*sqrt(972)).
12*sqrt(2)/67
Simplify (sqrt(95) - 6*sqrt(95)*1)/sqrt(5) - (sqrt(475)*1)**2*2.
-950 - 5*sqrt(19)
Simplify (4*1*(2*sqrt(5) + sqrt(5)))**2 - (sqrt(5) + (sqrt(5) - 2*(sqrt(5)*4)**2) + 2).
-2*sqrt(5) + 878
Simplify (-4 + (-5 + (sqrt(176)*-2 + sqrt(176) - sqrt(176)))*2)*3.
-48*sqrt(11) - 42
Simplify -6*sqrt(190)/(sqrt(160)*1) - (1 + -3 + (-1*sqrt(304))**2).
-302 - 3*sqrt(19)/2
Simplify 1 + -5*(6*(sqrt(1700) + -4))**2*2.
-617759 + 28800*sqrt(17)
Simplify (sqrt(133)*-2*4 + sqrt(133))/(-4*sqrt(42)/sqrt(6) - sqrt(7)).
7*sqrt(19)/5
Simplify (sqrt(76) + sqrt(76) + (sqrt(76) - (sqrt(76)*-1 + sqrt(76)))*-6 - -2*(2*sqrt(76) + sqrt(76)))/((sqrt(28)*2)/sqrt(7) - sqrt(20)/(sqrt(10)/sqrt(2))).
2*sqrt(19)
Simplify (6*(sqrt(30) + sqrt(30) + -3*sqrt(2430)))/(4*sqrt(40)/sqrt(256)).
-300*sqrt(3)
Simplify -3 + (sqrt(77)/sqrt(7) + 1)**2 + 3 + -6*(sqrt(891) + -1)**2.
-5340 + 110*sqrt(11)
Simplify ((sqrt(110) + (sqrt(110) + sqrt(110)*2)*-1)/sqrt(2))/((sqrt(11) - sqrt(396)/sqrt(4))*-1).
-sqrt(5)
Simplify (2*sqrt(1008) + -2 + (sqrt(1008) - (3 + (sqrt(1008) - (sqrt(1008)*1 + sqrt(1008))))) - (4 + (sqrt(1008)*-3 + sqrt(1008))*5))**2.
-3024*sqrt(7) + 197649
Simplify -2 + -5 + (-2 + (sqrt(1872) - -4*sqrt(1872)*-3))*2.
-264*sqrt(13) - 11
Simplify (sqrt(20)/sqrt(40))**2 + sqrt(2) + (sqrt(8)/sqrt(16) - sqrt(2))**2 - (-6*sqrt(8)*4)/sqrt(4).
1 + 25*sqrt(2)
Simplify (-3 + (sqrt(363) - (sqrt(363)*-1*2 + sqrt(363)) - (sqrt(363) + 2 + -1))*3)**2.
-396*sqrt(3) + 3303
Simplify (-4*(-5*1*sqrt(66))/(((sqrt(66)*2 - sqrt(66)) + sqrt(66) + sqrt(66))/sqrt(11) - sqrt(6))*1*4)**2.
17600
Simplify -5*(2*6*(sqrt(44)/sqrt(4))**2 + (sqrt(539)*2)**2 + -1)*-6.
68610
Simplify 2*(sqrt(125) + 3) + ((sqrt(125) + sqrt(125)*-1 - sqrt(125)) + 4)**2 + sqrt(125).
-25*sqrt(5) + 147
Simplify (sqrt(6000)*-2)/((sqrt(36)*-1)/sqrt(3)) + 4 + 3.
7 + 20*sqrt(5)
Simplify (((sqrt(133) + -5*(sqrt(133)*-1 + sqrt(133) - sqrt(133)) + sqrt(133))*2)/(sqrt(504)/sqrt(8)*3) + 4)**2.
112*sqrt(19)/9 + 5020/81
Simplify -4*(4*sqrt(17) + 3 + sqrt(17)) + ((sqrt(204) + (sqrt(204) + -4*sqrt(204))*-4)/sqrt(12))**2.
-20*sqrt(17) + 2861
Simplify (sqrt(19) + sqrt(190)/(-1*sqrt(10)) - sqrt(19)) + (1*sqrt(57)/sqrt(3))**2 + 0 + sqrt(475) + 0 + sqrt(475).
19 + 9*sqrt(19)
Simplify (-1*2*sqrt(144))/((sqrt(800)*1 + sqrt(800) - sqrt(800)) + sqrt(800) + sqrt(72)*-5).
-6*sqrt(2)/5
Simplify ((sqrt(85) - sqrt(85)*-1)*3)/(6*sqrt(20)) + (1 + sqrt(17)*-1 + sqrt(272)*3)**2.
45*sqrt(17)/2 + 2058
Simplify 5 + sqrt(6)/(-2*sqrt(3)) + 1 + -3*(sqrt(128) + sqrt(72)*2)**2.
-2394 - sqrt(2)/2
Simplify -1 + 1 + sqrt(1250) + sqrt(1250) + sqrt(1250) + (sqrt(128) + 4*-2*sqrt(128))/sqrt(4).
47*sqrt(2)
Simplify (5 + (sqrt(200) - (sqrt(200)*-3 + -2)) + sqrt(200) + 2*sqrt(200) + -1)**2.
840*sqrt(2) + 9836
Simplify ((sqrt(7) + sqrt(448)*4)**2 - (sqrt(70) - -1*sqrt(70))/sqrt(10)) + 3 + -2.
-2*sqrt(7) + 7624
Simplify ((sqrt(176)/sqrt(4))/sqrt(11))/(1*sqrt(128) + sqrt(2)) + 3.
sqrt(2)/9 + 3
Simplify (-1 + (-2*sqrt(12)*-4)/(sqrt(44)/(3*sqrt(11))))*-4.
-96*sqrt(3) + 4
Simplify 2*((sqrt(448) - (sqrt(448) + -1))**2 - (-1 + sqrt(7)*2))*1.
-4*sqrt(7) + 4
Simplify ((2*sqrt(1900) + -1 - (sqrt(1900) - (sqrt(1900) + -1 + 3))) + 3)**2*2.
320*sqrt(19) + 15232
Simplify ((sqrt(75) + -5 + -1*sqrt(75))*-3 + ((sqrt(75) - (sqrt(75) + -1))*6 - 1*sqrt(75)*-1))**2*4.
840*sqrt(3) + 2064
Simplify (((sqrt(1375) + -2*sqrt(1375) + sqrt(1375))*-6)/(4*sqrt(80)*-2))**2 + 3.
3
Simplify -6*((sqrt(605) + (sqrt(605) - (-1*sqrt(605) - sqrt(605)))*1)**2 - (-3 + 3*sqrt(605))**2).
-25356 - 1188*sqrt(5)
Simplify (6*(2 + -5*sqrt(1100)*1*-3))**2.
21600*sqrt(11) + 8910144
Simplify (sqrt(70)/(sqrt(2)*1))/(sqrt(7) + 5*1*sqrt(7))*3.
sqrt(5)/2
Simplify (sqrt(66) + (sqrt(66) - (sqrt(66) + 1*sqrt(66)*5)))/(sqrt(486) - sqrt(486)*-2).
-4*sqrt(11)/27
Simplify -4 + (sqrt(17) - (-2*sqrt(153))/sqrt(9)) - ((sqrt(68) + sqrt(17))*2 + sqrt(17)*1*2)**2.
-1092 + 3*sqrt(17)
Simplify (4 + -3 + -1 + sqrt(1008) + (1 + sqrt(1008))*4)**2.
480*sqrt(7) + 25216
Simplify 1*2*sqrt(847)*2 + (2 + -2*sqrt(847))*3.
-22*sqrt(7) + 6
Simplify (sqrt(300) - (sqrt(300)*3*3 + sqrt(300)) - sqrt(300)) + 0 + -2.
-100*sqrt(3) - 2
Simplify (-3*(sqrt(171) - sqrt(171)*1) - ((sqrt(171) + 0 - sqrt(171)) + 0)**2) + 4 + 4.
8
Simplify 2*((sqrt(7) - (5*sqrt(28)/sqrt(4) + sqrt(7)) - (sqrt(7)*-2 + -1)) + -2*(3 + sqrt(63) + sqrt(7)))**2.
220*sqrt(7) + 1744
Simplify (((sqrt(1300) + -2)*3 - (1*sqrt(1300)*1 - sqrt(1300)))*2)**2.
-1440*sqrt(13) + 46944
Simplify ((sqrt(5) - (sqrt(25)/sqrt(5) + 5)) + ((sqrt(90)/sqrt(2))/sqrt(9))**2)*-6 + -5.
-5
Simplify -3 + -3 + -3 + sqrt(1088) + sqrt(1088) + (3 + sqrt(1088) + sqrt(1088))**2.
112*sqrt(17) + 4352
Simplify 6*(1*sqrt(847) - sqrt(847)) + (-3*(1 + sqrt(847)))**2 + -3.
198*sqrt(7) + 7629
Simplify (1 + 2*(sqrt(6050) - (sqrt(6050) + sqrt(6050)*3))/sqrt(10)*-3)**2.
396*sqrt(5) + 196021
Simplify -1*(sqrt(448) + 4)**2*-3.
192*sqrt(7) + 1392
Simplify (-1 + sqrt(80))*-6 - ((sqrt(20)/sqrt(4) + 3 - sqrt(5)) + 0).
-24*sqrt(5) + 3
Simplify -3*(1 + sqrt(2) + 4 + -4 + 0 + sqrt(2) + -1)*-3.
18*sqrt(2)
Simplify -4*2*(5 + (sqrt(1008) + -2*(sqrt(1008) - (0 + sqrt(1008))) - ((sqrt(1008) + 1)*6 + sqrt(1008)))**2).
-290632 - 6912*sqrt(7)
Simplify (5 + ((sqrt(2299)*2 + 3 - sqrt(2299)) + sqrt(2299) - (4 + -1 + sqrt(2299)))*-2)**2.
-220*sqrt(19) + 9221
Simplify (-6*(sqrt(11) + -1*sqrt(11) + 0) - ((-2*sqrt(176) + sqrt(176) + sqrt(176))/sqrt(8))/sqrt(2))**2.
0
Simplify ((2*(2*sqrt(76) - sqrt(76))*-6)/(-4*(sqrt(4) + 2*sqrt(256))))**2.
171/289
Simplify -5 + (((sqrt(192)*2 - sqrt(192)) + -4 + -5*(sqrt(192) + 2))*-1)**2.
896*sqrt(3) + 3263
Simplify (4*sqrt(450))/(sqrt(80)/sqrt(8)*-3).
-4*sqrt(5)
Simplify -5 + 0 + sqrt(3) + sqrt(33)/(sqrt(22)/sqrt(2)) + -4*(0 + sqrt(3))*-2.
-5 + 10*sqrt(3)
Simplify 3*(sqrt(588) - (sqrt(588) + ((sqrt(588) + -2*sqrt(588))*6 - sqrt(588))**2) - (sqrt(588) - (sqrt(588) + -3)*-4)**2).
-130968 + 5040*sqrt(3)
Simplify (1 + sqrt(300))*4 + 4 + sqrt(300) + (sqrt(300)*1)**2 + 5 + 5.
50*sqrt(3) + 318
Simplify (-2*sqrt(600))/(sqrt(12)*-3*-6).
-5*sqrt(2)/9
Simplify 3*((sqrt(1331) - (sqrt(1331)*2 + 1))**2 + sqrt(13 | {
"pile_set_name": "DM Mathematics"
} |
qrt(12)/sqrt(4) + sqrt(3))*-1 + (sqrt(144)/sqrt(4))/sqrt(12).
0
Simplify (sqrt(3) + 2*(sqrt(3) - sqrt(9)/sqrt(3)) + 3)**2.
6*sqrt(3) + 12
Simplify sqrt(1331)*1 - (5 + sqrt(33)/sqrt(3))**2.
-36 + sqrt(11)
Simplify (sqrt(637) + -3)*2.
-6 + 14*sqrt(13)
Simplify -6*2*sqrt(19)*-5.
60*sqrt(19)
Simplify 1*(1 + sqrt(98)) + (-1*sqrt(98)*-1 - sqrt(98)).
1 + 7*sqrt(2)
Simplify sqrt(102)/(1*sqrt(6)) - ((sqrt(187) + (sqrt(187) - (sqrt(187) + (1*sqrt(187) - sqrt(187)) + sqrt(187) - sqrt(187))))/sqrt(11))**2.
-17 + sqrt(17)
Simplify 4*-2*sqrt(605) + -2.
-88*sqrt(5) - 2
Simplify sqrt(108) + -1 + 1.
6*sqrt(3)
Simplify sqrt(153) + 4 - (1*sqrt(1700))**2.
-1696 + 3*sqrt(17)
Simplify sqrt(34)/(sqrt(126)/sqrt(7) + sqrt(2)).
sqrt(17)/4
Simplify 1*-1*sqrt(539) - (3 + (-1 + sqrt(539) + sqrt(539))**2).
-2160 + 21*sqrt(11)
Simplify -2*sqrt(2880) + ((sqrt(405) + -2)**2 - sqrt(405)).
-93*sqrt(5) + 409
Simplify ((-2*sqrt(112))/sqrt(8))/sqrt(2).
-2*sqrt(7)
Simplify -3*(-2 + sqrt(5))*6.
-18*sqrt(5) + 36
Simplify -2*(sqrt(180) - (sqrt(180) + (3 + sqrt(180) + -1 + sqrt(180))**2 + sqrt(180))).
108*sqrt(5) + 1448
Simplify (sqrt(170) - sqrt(170)*2*-1)/sqrt(10).
3*sqrt(17)
Simplify sqrt(1300) + -1 + sqrt(1300) + 1.
20*sqrt(13)
Simplify sqrt(228)/((sqrt(192)/sqrt(4))/sqrt(4)).
sqrt(19)
Simplify (((sqrt(196)*-2)/sqrt(4) - sqrt(49)) + sqrt(49))/sqrt(7).
-2*sqrt(7)
Simplify (4*sqrt(304) + sqrt(19))**2*4.
21964
Simplify (-5*(sqrt(320) + sqrt(320)*1) - -1*sqrt(320)*-3)**2.
54080
Simplify (sqrt(4)/(sqrt(200) + (sqrt(200) - sqrt(200)*-2)))**2.
1/800
Simplify -4 + 5*2*sqrt(243).
-4 + 90*sqrt(3)
Simplify sqrt(38)/sqrt(2)*-3 + -1.
-3*sqrt(19) - 1
Simplify (sqrt(102) - (sqrt(102) - 1*sqrt(102)*-3) - sqrt(102))/(sqrt(216)*-2).
sqrt(17)/3
Simplify (4*3*sqrt(80) + (-3*sqrt(80) - sqrt(80) - sqrt(80) - sqrt(80))*5)**2.
25920
Simplify (1*(sqrt(15)*2 + sqrt(15)))/(sqrt(405)*1).
sqrt(3)/3
Simplify sqrt(112) - 2*(sqrt(112) + 2 + sqrt(112))**2 - sqrt(112).
-904 - 64*sqrt(7)
Simplify ((sqrt(5) - (3 + sqrt(5))) + 4)**2 + sqrt(605) + 2.
3 + 11*sqrt(5)
Simplify (1 + sqrt(272)*2)**2 - (sqrt(272) + -3 + -5)**2.
80*sqrt(17) + 753
Simplify (-1 + sqrt(11)*-5)**2 + (sqrt(11) + 3)*3.
13*sqrt(11) + 285
Simplify 5 + sqrt(36)/sqrt(108) + sqrt(243)/sqrt(9).
5 + 10*sqrt(3)/3
Simplify ((sqrt(15) - sqrt(75)/sqrt(5))/sqrt(3) - -5*sqrt(25)/sqrt(5))**2 + 3.
128
Simplify ((sqrt(1372) - (sqrt(1372) - (sqrt(1372)*2 + sqrt(1372)))) + sqrt(1372) - sqrt(28) - sqrt(28))/sqrt(4).
26*sqrt(7)
Simplify sqrt(48) + sqrt(192) + -2 + sqrt(192).
-2 + 20*sqrt(3)
Simplify (0 + sqrt(176) + sqrt(176) + (sqrt(176)*-2)**2)*2.
16*sqrt(11) + 1408
Simplify (sqrt(76) + (sqrt(76) + 3)*-5 + sqrt(76))**2.
180*sqrt(19) + 909
Simplify (1 + 1 + sqrt(125))**2 + 0.
20*sqrt(5) + 129
Simplify (sqrt(11)*-2 + sqrt(11) + 3 - (sqrt(704) + 2 - sqrt(704))**2) + 5.
-sqrt(11) + 4
Simplify -4 + (sqrt(425) + -1 - sqrt(425)) + sqrt(425) + -2.
-7 + 5*sqrt(17)
Simplify (1*sqrt(52))**2 - (sqrt(13) + 0 + sqrt(52)).
-3*sqrt(13) + 52
Simplify -3*(sqrt(18)/(sqrt(96)*-1))**2.
-9/16
Simplify (sqrt(468)*-1)**2 + -2 + 5*(sqrt(468) - (sqrt(468) + 0)**2).
-1874 + 30*sqrt(13)
Simplify sqrt(44) + sqrt(88)/(sqrt(12)/sqrt(6)).
4*sqrt(11)
Simplify -5*(-1 + sqrt(1008)) - sqrt(1008).
-72*sqrt(7) + 5
Simplify ((sqrt(208) - (sqrt(208)*2 + 0)) + -2)**2.
16*sqrt(13) + 212
Simplify (-4 + sqrt(99) + 3)**2.
-6*sqrt(11) + 100
Simplify sqrt(6)/(-4*sqrt(3))*-3 + -4.
-4 + 3*sqrt(2)/4
Simplify ((sqrt(36)/(sqrt(12)*-2) - (2 + -1*sqrt(3)))*3)**2.
-18*sqrt(3) + 171/4
Simplify 3 + ((-6*(sqrt(128) - (1 + sqrt(128))) - sqrt(128))**2 - (3 + (sqrt(128)*1 - sqrt(128)))**2).
-96*sqrt(2) + 158
Simplify 1 + (0 + sqrt(252))**2 - (6*(1 + sqrt(252)))**2.
-8855 - 432*sqrt(7)
Simplify (sqrt(72))**2*4 - (sqrt(18) + 2).
-3*sqrt(2) + 286
Simplify (sqrt(121) - -1*(-1*sqrt(121) + sqrt(121)))/(sqrt(55)/(sqrt(5)*2)).
2*sqrt(11)
Simplify (4 + -4*-2*sqrt(11)*3)**2.
192*sqrt(11) + 6352
Simplify ((-2*sqrt(209)*2)/(sqrt(132)/(sqrt(48)/sqrt(4))))**2.
304
Simplify -1 + ((-1 + sqrt(1088))*3)**2.
-144*sqrt(17) + 9800
Simplify (sqrt(243)/(sqrt(54)/sqrt(6)) + sqrt(27))/(sqrt(45)/(sqrt(245) - sqrt(5))).
12*sqrt(3)
Simplify ((3*sqrt(72) + sqrt(72))/sqrt(2))/(1*sqrt(1200)).
2*sqrt(3)/5
Simplify (sqrt(114)/(sqrt(6) - sqrt(24)))**2*-1 - (2*sqrt(475) + 1*sqrt(1900))**2.
-7619
Simplify (sqrt(2940)*-2)/sqrt(12).
-14*sqrt(5)
Simplify (sqrt(6)/((sqrt(144)/sqrt(4))/sqrt(12)))**2.
2
Simplify (-1 + (sqrt(175) - -1*sqrt(175)*-2))**2.
10*sqrt(7) + 176
Simplify 2*(sqrt(300) + 2 + sqrt(300)).
4 + 40*sqrt(3)
Simplify -6*sqrt(68)/(sqrt(4)*2*-6).
sqrt(17)/2
Simplify (6*sqrt(209)*-2)/(sqrt(1331)*1).
-12*sqrt(19)/11
Simplify -1*-4*sqrt(14)/sqrt(2).
4*sqrt(7)
Simplify (5*sqrt(70)*-1)/(sqrt(1000) - (sqrt(1000) - (sqrt(1000)*-2 + sqrt(1000) - sqrt(1000)) - sqrt(1000))).
sqrt(7)/2
Simplify (sqrt(2) - (sqrt(2) + sqrt(10)/sqrt(5)*-2)) + -6*sqrt(98).
-40*sqrt(2)
Simplify (1*sqrt(15))/sqrt(5) - (-3 + sqrt(3) + sqrt(27)).
-3*sqrt(3) + 3
Simplify (4 + ((sqrt(152) + sqrt(152)*1 + sqrt(152))*-4)/sqrt(8))**2.
-96*sqrt(19) + 2752
Simplify (sqrt(448)*-2)/(2*sqrt(4)*-1 + sqrt(4)).
8*sqrt(7)
Simplify (3 + sqrt(3))**2 + 3 - (-2 + sqrt(192)).
-2*sqrt(3) + 17
Simplify (sqrt(117)*3*-6)/(sqrt(9) + sqrt(324)*-3).
18*sqrt(13)/17
Simplify 6*(3 + 0 + sqrt(7)).
6*sqrt(7) + 18
Simplify 1*(sqrt(832) + -2).
-2 + 8*sqrt(13)
Simplify (-3 + sqrt(1872)*-2 + sqrt(1872))**2*-2.
-3762 - 144*sqrt(13)
Simplify ((-2*sqrt(1573))**2 - sqrt(13)) + -4.
-sqrt(13) + 6288
Simplify (sqrt(1053) + 1 - sqrt(637)*4)**2.
-38*sqrt(13) + 4694
Simplify sqrt(16)/((sqrt(32) + sqrt(8))*6).
sqrt(2)/18
Simplify (sqrt(77)/(5*sqrt(55)/sqrt(5)) + -4)**2.
-8*sqrt(7)/5 + 407/25
Simplify sqrt(57)/(sqrt(3) - -2*sqrt(432)).
sqrt(19)/25
Simplify (sqrt(2736) + 1 + sqrt(2736) + -1 + sqrt(2736) - (sqrt(2736) + (sqrt(2736) + (1*sqrt(2736) - sqrt(2736)) - sqrt(2736)) + 5))**2.
-240*sqrt(19) + 10969
Simplify (4*sqrt(1440))/sqrt(2).
48*sqrt(5)
Simplify -1*(-2 + sqrt(1331)).
-11*sqrt(11) + 2
Simplify (-1*sqrt(19)*2)**2 - sqrt(152)/(sqrt(24)/sqrt(3)).
-sqrt(19) + 76
Simplify -1 + (-1 + sqrt(125) + (sqrt(125) + 0 - sqrt(125)) + sqrt(125) + sqrt(125))**2.
-30*sqrt(5) + 1125
Simplify ((1*sqrt(7)*4 - sqrt(7) - sqrt(7))*5)**2.
700
Simplify (((sqrt(128) - sqrt(128)*-2)**2 + sqrt(128))*1 - sqrt(128))*3.
3456
Simplify (sqrt(65)/sqrt(125) + sqrt(104)/(sqrt(48)/sqrt(6)))**2.
468/25
Simplify 1 + (sqrt(11) + 3 - sqrt(11)) + -4 + -1.
-1
Simplify sqrt(156)/sqrt(75).
2*sqrt(13)/5
Simplify (sqrt(700)*4)/sqrt(4).
20*sqrt(7)
Simplify (-2*((-1*sqrt(147) - sqrt(147)) + sqrt(147))*5*5)**2.
367500
Simplify (sqrt(22)*1*-2)/((sqrt(18)/sqrt(3))/sqrt(3)).
-2*sqrt(11)
Simplify -3*((2*sqrt(187))/sqrt(11) + (sqrt(153)/sqrt(3))/sqrt(3))**2.
-459
Simplify (sqrt(1944)*-2)/(sqrt(8) - ((sqrt(160)/sqrt(5))/sqrt(4) + sqrt(8))).
18*sqrt(3)
Simplify (1 + sqrt(2736) - sqrt(2736))*3 - sqrt(2736).
-12*sqrt(19) + 3
Simplify (-3*sqrt(864))/(sqrt(128)*-2 - sqrt(128)).
3*sqrt(3)/2
Simplify 1 + (1*1*sqrt(7) - (sqrt(847) + 1)**2).
-847 - 21*sqrt(7)
Simplify 0 + (sqrt(1800)*2)/(sqrt(80)/sqrt(2) + sqrt(40)).
3*sqrt(5)
Simplify (3*((sqrt(65) - -1*sqrt(65)) + sqrt(65)))/(sqrt(500) + sqrt(500) + -2*sqrt(500) + sqrt(500)).
9*sqrt(13)/10
Simplify (2*2*sqrt(95))/(-2*sqrt(180)).
-sqrt(19)/3
Simplify (sqrt(975)*-5)/sqrt(3).
-25*sqrt(13)
Simplify sqrt(8)/(sqrt(100) + sqrt(4)) + -4.
-4 + sqrt(2)/6
Simplify -4*(sqrt(66) + -2*sqrt(66))/sqrt(6)*-4.
-16*sqrt(11)
Simplify sqrt(65)/(-2*sqrt(5)*-2).
sqrt(13)/4
Simplify (sqrt(60)/(-2*sqrt(4)))/sqrt(3)*3.
-3*sqrt(5)/2
Simplify -2 + sqrt(22)/(3*sqrt(2)) + 0.
-2 + sqrt(11)/3
Simplify 2*1*sqrt(19) + sqrt(931)*-5.
-33*sqrt(19)
Simplify -2 + 3*sqrt(33)/sqrt(3).
-2 + 3*sqrt(11)
Simplify ((sqrt(2299) - -5*-1*sqrt(2299)) + sqrt(2299))**2.
20691
Simplify -4*((0 + sqrt(500))*-2 + (sqrt(500) - -3*(-1 + sqrt(500)))).
-80*sqrt(5) + 12
Simplify ((sqrt(21)/sqrt(3) + 3)**2 + (sqrt(189)/sqrt(3))/sqrt(9))*6.
96 + 42*sqrt(7)
Simplify sqrt(55)/(6*sqrt(396)).
sqrt(5)/36
Simplify (((sqrt(190) - (sqrt(190) + (sqrt(190) - (1*sqrt(190) + sqrt(190))))*1) + sqrt(190))/(sqrt(40)*-1)*3)**2.
171
Simplify ((sqrt(1600) - ((sqrt(1600) + (sqrt(1600) - sqrt(1600)*-1) - sqrt(1600) - sqrt(1600)) + sqrt(1600)))/(sqrt(80)*3))**2.
20/9
Simplify -2*(1 + (sqrt(352) + sqrt(22))/sqrt(2)). | {
"pile_set_name": "DM Mathematics"
} |
4*n - 2858, -2*h - 23*n - 257 = 0 for h.
-2
Solve 3 = -2*q + 4*c - 1 + 4, 2*q - 8 = -20*c + 26*c for q.
-8
Solve 3617*a - 1 = -4*h + 3616*a, 3*h - 3*a = 27 for h.
2
Solve 4*x - 20 = 2*k, 3*x - 103 + 73 = 3*k for k.
-10
Solve 0 = -k - 4*o - 23*o + 436 - 57, 0 = -0*k - 5*k - 5*o + 75 for k.
1
Solve -10*d - 12 = -6*d, 7*z + 2*d + 37 = 24 for z.
-1
Solve 4*s + 47 = 44797*y - 44808*y, 5*y + 25 = 0 for s.
2
Solve 22*l - 10*l - 7*l = -5*v + 35, -5*l - 4*v + 31 = 0 for l.
3
Solve -4*t = -4*g + 16, -6435*t + 6437*t + 14 = 0 for g.
-3
Solve 4*z + z + 3 + 1 = 3*a + a + 2, -15*a = -45 for z.
2
Solve -3*t = 4*b - 60, 0 = 963*b - 964*b + 33*t - 795 for b.
-3
Solve -3*o + i = 19, 5*o - 2866 = 4*o + 5*i - 2933 for o.
-2
Solve 19 = z + 36*v - 40*v - 13, -5*z + 2*v + 178 = 0 for z.
36
Solve -307275*x + 307272*x + 154 - 16 = -4*z, 4*z + 2*x - 92 = 0 for z.
0
Solve 0 = -l - 6*q - 58, 0 = 4*l - 15*q + 4*q + 6*q - 58 for l.
2
Solve 17168*m - 34333*m - s - 4 - 9 = -17160*m, -5*s + 35 = 0 for m.
-4
Solve -4*q - 2*o - 138 = 0, -3*o = q + 72 - 25 for q.
-32
Solve -26*b + 77 = -3*x, x + 7*b = -x - x + 55 for x.
9
Solve -92535 + 92407 = 8*x - 2*y, -79 = 5*x - y for x.
-15
Solve 1404*o - 1406*o + 5*h - 40 = 0, -4*o - h - 32 = -5*h for o.
0
Solve -4*h + 7 + 1 = 6 - 14, 0 = 5*c + 51*h - 254 - 25 for c.
15
Solve 0 = -0*a + 2*a - 26, 6*k + 6 - 27 + 9 = -2*a - 10 for k.
-4
Solve 5*g - 24*k - 1020 = -20*k - 1023, -13 = g - 7*k for g.
1
Solve -2*a + f = -23, 4*a - 221*f + 227*f - 86 = 0 for a.
14
Solve 117*n = 57*n + 62*n - 9*p - 41, p - 71 = -2*n for n.
34
Solve 45 = 3*o - 18*y, 0 = 5*y + 41 - 16 for o.
-15
Solve 5*r - 26*o - 63 - 82 = -47 + 41, -4*r + 128 = -4*o for r.
33
Solve -4*l = 4*r + 20, -1817 = -36*r + 2*l - 1769 for r.
1
Solve -4 = -2*n + w, 236*w = -5*n + 241*w + 30 for n.
-2
Solve -5*t + 5*b = 40, 67 = -t - 84*b - 111 - 85 for t.
-11
Solve 5*x = -5*t + 30, x - 1871*t = -1881*t + 33 for x.
3
Solve 2*f + 43*p + 4 = 24*p + 18*p, 2*p - 16 = 4*f for f.
-3
Solve -2*p = 6*d + 84, -4340*p = -4335*p + 5*d + 240 for p.
-51
Solve -157*d - 3*q + 7 = -165*d, -2*d = -7*q - 17 for d.
-2
Solve 8538*i - 8542*i = -3*b + 102, 5*b - 171 = 7*i for b.
30
Solve t + 9 = -4*k - 4, -16*t + 28 = 2375*k - 2370*k for k.
-4
Solve 13*x - 102 = -17*a + 8*x, 120*a + 4*x + 30 = 125*a for a.
6
Solve 2*z - 5*y + 7526 = 7493, -9*z - 5*y - 11 = 0 for z.
-4
Solve 6*d + 5*m = -0*m + 290, 16*d + 22*d - 1690 = -4*m + 9*m for d.
45
Solve 4*g - 378 = 6*v, -41*v + g = -26*v - 2*g + 966 for v.
-65
Solve t - 7 = -14*b + 9*b - 20, 0 = 2*b + 8*t + 28 for b.
-2
Solve 5*d + 248 = 8*z + 205, -3*z + 2*d = -16 for z.
6
Solve 5*i - 255 = 10*z, 5*i + 0*i + 7*i = 8*i + 172 for z.
-4
Solve 3*a + 7*m - 4*m = 8*m - 47, 33*a - 3*m + 153 = 0 for a.
-4
Solve 9*a + 54517 = -7*a - j + 56008, -4*a + 4*j = -360 for a.
93
Solve -3*j + 3*a + 7 = 43, -51 = 5*j - 2*a for j.
-9
Solve -72*k + 77*k = -4*w - 122, -2*w - 76 = -5*k for k.
2
Solve 0 = 4*w - 4*x, -4*w - 7 = w - 2*w + 17*x - 13*x for w.
-1
Solve 3*d - 40*a = -126*a - 368, -4*d - a = 36 for d.
-8
Solve -19*x + 4*s + 2*s - 3*s = -15*x - s + 28, -16*x = 3*s - 59 for x.
2
Solve -3*y = -5*n - 2*y + 33, -4*n - 13*y = -20*y - 107 for n.
4
Solve 297*b - 293*b + 228 = -11*z, -z = 3*b + 26 for z.
-20
Solve 4*m - 5*k - 17 = -5*k + 5*k, 40 = -30*m - 35*k + 39*k for m.
-2
Solve 19*u + 11*p = 10*p - 284 + 303, 0 = 5*u - 2*p - 1 - 4 for u.
1
Solve 2*d - 48 = -12*a, 5*d - 1596*a + 1599*a - 12 = 0 for d.
0
Solve 175084*r - 33 = 175081*r - 3*x, -2*x = -26 for r.
-2
Solve -182*j - 3 - 3 = -175*j - 13*n + 5*n, 0 = 3*j - 6*j + 4*n - 6 for j.
6
Solve -48 = v + 39*q + 87, -3*v - 2 = -3*q + 43 for v.
-18
Solve -21*s - 33*s + 0*w + 5*w - 15 = -49*s, -3*s - 11 = -4*w for s.
-1
Solve 5*d + 17 = -14*c, 0 = -125*c + 125*c - 3*d - 4 + 19 for c.
-3
Solve 0 = 4*p + 2*p + 3*i - 330, 3*i - 2158 = -5*p - 1883 for p.
55
Solve -4*d - 5*i + 37 = -d, 4*i - 6*i - 23 = -3*d for d.
9
Solve g = -k + 59 - 97, -13*g - 504 = 3*k for g.
-39
Solve -3*h - 27*k + 6460 = 6391, 74 = 5*h + 4*k for h.
14
Solve -50*f = i - 91*f + 48*f + 11, -i - 2*i + 5*f + 19 = 0 for i.
3
Solve 0 = -13*u + 27*r - 229, 185*r - 93*r - 94*r = 4*u - 12 for u.
-1
Solve -3*h = r - 26 + 20, 17*r + 59 + 54 = -3*h + 23 for h.
4
Solve -10*k + 5*k = r + 7 - 11, 5*k - 22*r = -548 for k.
-4
Solve 436 = -8*b - 7*w + 214, -3*b = 2*w + 3*w + 164 for b.
2
Solve 3*x = -28*f - 24*f + 56*f + 81, 41*f + 735 = 2*x - 3*x for f.
-18
Solve -6*a = 5*z + 104, -4*z + 16 - 27 = -2*a + 21 + 24 for a.
-4
Solve -5*n - 5*i = -240, 261*i = -10*n + 256*i + 265 for n.
5
Solve 4*i + 0*i + 27 = -4*m + 87, 24*i + 3*m - 339 = 0 for i.
14
Solve -4*k + h = -13, 8*k - 14698*h = -14694*h + 20 for k.
4
Solve -1929*w - x + 7772 = 9*x + 2*x - 8*x, -42 = -3*x for w.
4
Solve 40 = n + 5*u, 55125*u = 55120*u + 35 for n.
5
Solve -76*m + 20 = n - 73*m, -3*n = 1201*m - 2444 for n.
14
Solve -6*l - h = -101, -74 = -31*l + 27*l - 2*h for l.
16
Solve 4*v - 4*a - 9617 = -9701, -1 = -a for v.
-20
Solve -201 - 215 - 172 = 5*r + 4*p - 514, 4 = -4*p for r.
-14
Solve -27*w - 218 = r - 125 - 290 - 372, -r = -w + 19 for r.
2
Solve 13*y - 13 = 2*i, 9 = -122*y + 126*y - i for y.
-1
Solve 6*b - 8 = 5*b - 3*q - 2*q, -135*b + q = -4*q - 400 for b.
3
Solve 0*q + 2*q = -95*s - 2*q + 1445, -9*s + 7*q = -8*s + 20 for s.
15
Solve 2*u - 4*d + 131 = -5, 2*u - 2*u + 3*d - 102 = 5*u for u.
0
Solve -180 = -36*k, b = -0*b + 4*k + 1919 - 1938 for b.
1
Solve 0 = -8*g - 3*z + 10 - 4, 7*g = 10*g + 3*z - 6 for g.
0
Solve -3*n - 2507109 = -2*h - 2507131, -4*h - 20*n = -216 for h.
4
Solve -3 = 5035*w - 5043*w + 3*y, -2*y + 1 + 0 = 7*w + 3 for w.
0
Solve 4*d + 47 + 13 + 13 = -27*g, 3*d + 140 = 146 for g.
-3
Solve -6*t = -4*u - 122, -4*t - 4*u + 1698 = 1630 for t.
19
Solve -3*k = 2*s - 47, 142 = 16*k + s - 70 for k.
13
Solve -18*c + 20*c + 4*v - 288 = 0, -18*c + 19*c - 5*v + 346 = 0 for c.
4
Solve -266*b - i - 1321 = 0, 0 = 30495*b - 30500*b - i - 16 for b.
-5
Solve -3 = -y + 3*a + 6, 10*a - 1118 = -2*y - 1180 for y.
-6
Solve 2*l - 6969*d = -6976*d - 4, 4*l + 2*d + 8 = 0 for l.
-2
Solve 12*v + a + 223 - 322 = -0*a, v + 3*a = 17 for v.
8
Solve 45 = 12*v + 9, 15*s - v + 2*v + 9 = -33 for s.
-3
Solve -h = 3*q - 35, 0 = -37*h + 115*h - 74*h - 4*q + 36 for h.
2
Solve -2356*r + 2369*r + 93 = -2*p, 25 - 21 = -4*p for r.
-7
Solve n - 3*y - 19 = 0, -598 + 624 = -4*n - 90*y for n.
16
Solve -5 = 3*d - 63*f + 61*f - 3, -10*d - 3 = -6*f + 3*f - 0*f for d.
0
Solve -7*a + 2508*n = 2505*n + 132, 0 = -2*a - 5*n + 68 - 94 for a.
-18
Solve 12*c + 116 - 410 = -3*z, 102 = 3*z + 4*c for z.
2
Solve 2*j - j + j = -17*h + 58, 417*j = -h + 419*j + 14 for h.
4
Solve l + 0 - 3 = -2*p, l - 13*p + 30 = 78 for l.
9
Solve -6*z + 59*k - 549 - 101 = -23*k, -2*k = -0*z + 5*z - 21 for z.
1
Solve 0 = 4*n - 2*n - 53 - 19 + 106, -6*l - 11*n = -l + 182 for l.
1
Solve 2*y - 3*y - 2*g - 236 = -9*g - 44*g, 6*g = -y + 49 for y.
19
Solve w - 8 = -4*p + 3*p, 12*w - 175*p - 145*p - 124 = -318*p for w.
10
Solve 5*x + 75 = 15*r, x = 6*r + 5*x - 3*x - 12 for r.
3
Solve -c - 9223 + 9302 = 16*z, 41*z = -4*c + 201 for c.
-1
Solve 24513*h = 3*j + 24518*h - 42, -17 = -j - 2*h for j.
-1
Solve 5*x = 2*s + 84 - 132, -49 = 4*x + 9*s for x.
-10
Solve -34*d - 3*v + 7683 = 3810 + 3832, d - v = 11 for d.
2
Solve 0 = 4*k - 4*g - 148, -2*g = 872*k - 889*k + 629 for k.
37
Solve 3*s + 55 = 4*k - 82 + 27, 8*s = k - 274 for k.
2
Solve -10*p - 1661 + 1770 = -13*p - 4*w, 2*p - 3*w = 69 for p.
-3
Solve 8*p - 18*p - 4*p + 3*s - 59 = 0, -p + 3*p - 43 = -0*p - 3*s for p.
-1
Solve -72*x = -74*x - d - d + d + 17, 0 = x + 7*d - 145 for x.
-2
Solve 0 = 3*g + 6, -3*i + 55*g + 26350 - 26246 = 0 for i.
-2
Solve 0*d + d - 5*n + 8*n + 29 = 2*d, -6*n - 60 = 0 for d.
-1
Solve 2*o - 302*n + 306*n + 7 = 1, 0 = o - 4*o + 3*n for o.
-1
Solve 17 = -3*i + 2*g, 18376*i - 18384*i + 3*g = 36 for i.
-3
Solve 2*m - o = -m - 53, -8*m + 74*o = 39*o + 47*o + 156 for m.
-18
Solve 0 = -5*o - 2*z - 492 + 470, 0 = -10*o + 2*z - 38 for o.
-4
Solve 5 = -48690*w + 48689*w, 1 = h - w for h.
-4
Solve 0 = -7*g + 3*u + 62, -2*g - g - 475 = 6*u - 385 for g.
2
Solve -14*b + 15 = 3*h - 12*b, -3*h - 5*b - 23 + 47 = 0 for h.
3
Solve 0 = -2*a + 4*g - 10, -21*a = -24*a + 12*g - 24 + 9 for a.
-5
Solve 28*f = -6*p - 4, -501*f + 504*f - 4*p = -19 for | {
"pile_set_name": "DM Mathematics"
} |
*2 + 2*j + 2. Let b be ((-4)/((-40)/50))/1*(-6)/(-5). Determine v(b).
-22
Let k(c) be the second derivative of c**4/12 - 11*c**3/2 + 35*c**2/2 - 2*c + 3403. Give k(32).
3
Let p(b) = -3*b + 6. Let w(x) = 2*x**3 - 44*x**2 - 45*x - 14. Let n = -9 + 32. Let j be w(n). Give p(j).
-21
Let t(x) = -11*x**3 - 813*x**2 + 72*x - 153. Let s be t(-74). Let v(y) = -5*y + 19. Let o(j) = 2*j - 6. Let r(k) = 11*o(k) + 4*v(k). Calculate r(s).
0
Let g(c) = c**2 - 99*c - 1463. Let t be g(-13). Let s(k) be the third derivative of k**5/60 + 7*k**4/24 - k**3/6 - 3*k**2. What is s(t)?
-1
Let y(r) = -267 + 86 + 88 + 87 - 347*r + 348*r. What is y(-4)?
-10
Let g(n) = 5*n + n**2 + 121 + 0*n**2 + 108 + 3*n - 243. Determine g(-11).
19
Let p be 6/(-26) + (-9316)/(-1781). Let f(y) = -y**2 + 39. Determine f(p).
14
Let l(m) = -11*m. Let q(o) = -11*o. Let i(h) = 6*l(h) - 7*q(h). Let d(c) = -16*c**2 - 13*c + 11. Let r be d(4). Let u = 296 + r. Give i(u).
-11
Let d(s) = s**2 + 5*s + 2. Let t be d(-2). Let q(n) = -38*n**2 - 11*n - 78. Let c(m) = -27*m**2 - 8*m - 56. Let k(g) = -7*c(g) + 5*q(g). Give k(t).
-18
Let o be (-4)/(-3)*(42/(-12) + 2). Let y be (o - -1)*0/1. Let l(d) be the third derivative of -d**4/24 + 5*d**3/3 + 2*d**2. Give l(y).
10
Let o = 200 + -196. Let i(b) = b**3 - 4 - o*b**2 + 8*b + 5*b - 9*b. Calculate i(3).
-1
Let z(s) = 12*s - 20. Let p(l) = -4*l + 7. Let j(y) = -8*p(y) - 3*z(y). Let n(d) = 5*d**2 - 235*d - 238. Let a be n(48). Give j(a).
-4
Let b(d) = 25*d - 13. Let z be b(1). Let k(l) = 3*l**3 + 12 - 12 - z*l - 2*l**3. Let s be k(3). Let c(i) = i + 9. Calculate c(s).
0
Let i(p) be the first derivative of -p**5/60 + 5*p**4/12 - p**3/3 - 25*p**2 - 2*p - 223. Let d(c) be the second derivative of i(c). Give d(9).
7
Suppose -3*q - 14 = 4*s - 46, -3*q + 4*s - 8 = 0. Suppose b = -16 + 17, -3*b = -q*z - 7. Let a(c) = -c**2 - 2*c - 1. Calculate a(z).
0
Let k(d) = -d - 9. Let v be k(5). Let b be v/10 - (1 + (-6)/15). Let r(i) be the second derivative of i**4/6 + i**3/6 - i**2 - i. Calculate r(b).
4
Let f(a) = 4*a**3 - 2*a + 1. Let h(v) = -v**3 + v - 1. Let s(z) = -f(z) - 3*h(z). Let q(r) = -7*r**2 - 20*r - 15. Let u be q(-2). Determine s(u).
32
Suppose 12*s - 14 = -2. Let p(g) = 7*g**2 + 7*g - 2. Let h(r) = 6*r**2 + 6*r - 2. Let i(t) = 4*h(t) - 3*p(t). Calculate i(s).
4
Let s(t) = t + 5. Let m be (-3010)/(-18) + 1 + (-2)/9. Let w = 160 - m. Give s(w).
-3
Let b(g) be the second derivative of -g**4/8 + 7*g**3/3 - 25*g**2/2 + 11*g + 2. Let a(w) be the first derivative of b(w). Calculate a(6).
-4
Suppose 36*v + 635 = 31*v. Let x = -80 - v. Let d(q) = 21*q + 29*q - 1 - x*q. Determine d(3).
8
Let z(g) = -5813*g - 5815*g + 22 + 11622*g. Determine z(-7).
64
Let l(k) = 3*k**3 - 2*k**2 + 41*k - 7. Let d(f) = 2*f**2 - 13*f + 2. Let b(g) = -3*d(g) - l(g). Let a be 2 - 2 - (-1 + -1). Let p = a + -4. What is b(p)?
13
Let h(k) = 6*k**2 - 14*k + 14. Let g be h(1). Let b(a) be the second derivative of a**4/12 - 7*a**3/6 + 14*a. Calculate b(g).
-6
Let f(a) be the first derivative of 9*a**2/2 - 4*a + 1. Let p(v) = -v**3 - 35*v**2 + 86*v + 447. Let b be p(-37). Give f(b).
23
Let m be (1 - 1)*(-4)/32*-4. Suppose j + 0*j - 3*r = 9, m = -2*j - 3*r. Suppose -4*p = 0, -3*b = 2*b + j*p - 30. Let k(z) = -z**2 + 5*z + 6. Determine k(b).
0
Let i(h) = -2738*h + 117738. Let q be i(43). Let j(a) = -44*a + 12. Let n(v) = 4*v - 1. Let s(f) = 3*j(f) + 32*n(f). Calculate s(q).
-12
Let m(r) = 2*r - 16. Suppose -2*x - 17*z + 15*z + 24 = 0, -2*x + 29 = z. Let d be (-60)/510 - (-121)/x. Determine m(d).
-2
Let s(r) = 129*r**2 + 21 - 381*r**3 - 150*r**2 + 382*r**3 - r. Give s(21).
0
Suppose 5*n - 5 = 4*n. Let s(g) be the second derivative of -3*g**2 - 1/2*g**3 + 1/12*g**4 - 3*g + 9. Determine s(n).
4
Let t(x) = -32*x**2. Suppose -273*c = -215*c - 58. What is t(c)?
-32
Let f(d) = -3*d. Let p = 7551 - 7555. Determine f(p).
12
Suppose 0 = -5*z - 3*j - 54, z + 4*j - 6 = 3*z. Let y(k) = 5*k + 55. Determine y(z).
10
Let v(b) be the first derivative of b**4/4 - 11*b**3/3 + 13*b**2 - 7*b - 690. What is v(8)?
9
Suppose -o - 1 = -2*v, -3*o + 7*o = -2*v + 16. Let s(q) = -10*q**3 + 3 - 2*q**2 - 1 + 5*q + 0*q**v + 9*q**3. Determine s(-3).
-4
Let r(n) = 71*n**2 + 6*n + 12. Let k(z) = -18*z**2 - z. Let d(m) = 4*k(m) + r(m). Give d(6).
-12
Let l(v) = 99 - 10*v**2 + 26*v**3 - 25*v**3 - 103 + 8*v + 14*v. Determine l(7).
3
Let l(t) = 10 - 3*t - 31 + 5*t. Let h be (6/(-98))/(1973/(-290031)). Calculate l(h).
-3
Let u = 13678 + -13689. Let z(s) = 3*s**2 + 22*s - 18. Let i(g) = 2*g**2 + 15*g - 12. Let n(v) = -8*i(v) + 5*z(v). Calculate n(u).
-5
Let n(j) be the third derivative of j**6/120 + 11*j**5/60 + j**4/6 + 14*j**3/3 + 3871*j**2. What is n(-10)?
88
Let o(x) = -x**3 - 5*x**2 - 4*x. Suppose 9*v = 12*v + 1521. Let c = -511 - v. Determine o(c).
0
Let s be (-27 + 30)/(6/28). Let j(t) = -2*t**2 + 10*t**2 + 4*t**2 - 2*t - 3 - s + 14. Give j(-2).
49
Let k(u) be the first derivative of -3/2*u**2 - 6*u + 124. Determine k(8).
-30
Let h(p) be the second derivative of p**4/3 - 4*p**3/3 + 4*p**2 - 698*p. Determine h(3).
20
Let d(j) = -4428*j**2 - 51*j**3 + 30 + 4442*j**2 + 52*j**3 + 17*j. Give d(-12).
114
Let a(w) = -w**2 - 2*w - 3. Let o be a(-2). Let q(l) = 18*l + 1 - 5*l + 3*l**2 + 216*l**3 + 208*l**3 - 9*l - 422*l**3. Give q(o).
-38
Suppose -4*j + 1 = 5*i, 0*i + 15 = -5*i. Let h(l) be the first derivative of l**3/3 - 7*l**2/2 - 5*l - 500. Calculate h(j).
-17
Let i(m) = -2*m + 7. Suppose 4*s - 3*d = 313, -2 = 3*d + 7. Let y be (-62)/(-8) - 57/s. What is i(y)?
-7
Let q(p) = 44 - 126*p + 547*p - 426*p - 105. Determine q(-15).
14
Let h(c) = -c + 2. Let z(g) = 1. Let n(m) = 2*m - 7. Let v(f) = -n(f) - 2*z(f). Let w = 71 - 65. Let s(p) = w*v(p) - 11*h(p). What is s(6)?
2
Let i(t) be the second derivative of t**4/12 - 2*t**3 + 8*t**2 - 46*t - 7. Give i(11).
5
Let n = 299 - 274. Suppose -18*s + 13*s = n. Let m(y) = -y + 0 + 4 - 3. Determine m(s).
6
Suppose 5*z - 3*z - 32 = 0. Let o = z - 14. Let c(t) = 2 - 7 - 2*t**o + 3*t - t + 6. Give c(2).
-3
Let b be -2 + (-1 - 2) + 11. Let i(j) = j**3 - 6*j**2 + 5*j + 6. Let q be i(5). Let w(r) = 2*r - 3 + 3*r**3 - 2*r**3 - 4*r + 3*r - q*r**2. Give w(b).
3
Let j(u) = -6*u + 8. Let k(r) = -r - 1. Let o(d) = j(d) - 5*k(d). Let i(b) = -5*b**2 - 53*b + 2136. Let x be i(16). What is o(x)?
5
Suppose -6*l + 179 = 131. Let n(b) = 6*b**2 - 5*b**2 - 4 - l + 4 - 4*b. Determine n(7).
13
Let h(v) = -4*v - 10. Suppose -44*l - 77 = -33*l. Let x be (17/(-17))/((-1)/l) + 0. Give h(x).
18
Suppose 0*k - 2*z = -k + 1, 3 = -k + z. Let v(y) = y - 3. Let a(m) = -m + 2. Let d(t) = 4*a(t) + 3*v(t). Let b be d(k). Let s(i) = -2*i + 7. Give s(b).
-5
Let z(w) = w**3 - w - 5. Let s(m) = -10*m**2 + 34*m - 1. Let i be s(3). Suppose -17*u = i*u + 3*u. What is z(u)?
-5
Let c(y) = -10*y**2 - y - 1. Suppose -5*n = -k + 122, 0*k = -n - 4*k - 37. Let f = -20 - n. Suppose -f*q + 25 = 30. Determine c(q).
-10
Suppose 0 = 7*m + 90 - 104. Let x(p) = -4*p - 46*p**2 + 48*p**2 + 5*p + 2*p - m*p**3 - p. Suppose 0 + 2 = -s. Calculate x(s).
20
Let i(c) = 48*c + 41*c - 154*c + 44*c + 5 - c**2 - 16. Determine i(-21).
-11
Let u be 1/((-1)/(-3) - 535/1650). Let d be (-22)/u - 691*(-2)/10. Let v = 130 - d. Let r(p) = -p**3 - 7*p**2 + 9*p. Calculate r(v).
-8
Let a(r) = -9*r - 139. Let m(g) = 8*g + 122. Let i(h) = -6*a(h) - 7*m(h). Calculate i(-6).
-8
Let w(z) = 5*z + 60. Let l be w(0). Suppose 82*t = 92*t + l. Let v(r) = r**3 + 6*r**2 - 2*r + 3. Give v(t).
15
Let x(r) = r**3 - 7*r**2 - 5*r + 6. Let g be x(8). Suppose 13*k - g = 8*k. Let b(f) = f + k - 5 - 2 - 6. Determine b(7).
0
Let c(s) = s**2 - s - 2. Suppose 165*x - 162*x - 1644 = 0. Let u = -544 + x. Calculate c(u).
10
Let d(l) = 22*l + 2626*l**2 - 12*l - 2625*l**2 - 32*l + 24. Give d(20).
-16
Let k(g) be the second derivative of -13*g**3/6 - 21*g**2/2 - 574*g. Determine k(-3).
18
Let r(p) = -4*p**2 - 10*p + 18. Let o(q) = -8*q**2 - 16*q + 34. Let z(y) = -3*o(y) + 5*r(y). Determine z(-2).
8
Let n be (0 - -1)*(86 - -4). Suppose 0 = 21*m - n - 36. Let a(u) = u**3 - 7*u**2 + 7*u + 3. Determine a(m).
9
Suppose 4*g - 19 = h, -27*g + 31*g - 24 = -4*h. Let c = 15 - 12. Let p(q) = -4 - c*q**3 - 1 + 2*q + 4. What is p(h)?
-2
Let o be (5 - (0 + 8))*1. Let s(y) = 3*y**2 + 7*y - 1. Let g(f) = -7*f**2 - 16*f + 3 | {
"pile_set_name": "DM Mathematics"
} |
+ c + a*s**2 + f*s**3 and give f.
53221
Rearrange -12 - 3540*a**2 + 52 - 17 - 25 to the form z*a**2 + f*a + s and give s.
-2
Rearrange (-6 + 1 + 0)*(a + 44610 + a - 44360) to f + r*a and give f.
-1250
Express 3*j**2 + 15*j**3 - 124 + 250 + 4*j + 4 - 126 in the form u*j + y*j**3 + k + d*j**2 and give d.
3
Rearrange -1 + 55*c - 5674*c + 952*c to t*c + o and give t.
-4667
Rearrange 17*l**2 - 3*l**2 + 28385 - 28320 + l to b + o*l + g*l**2 and give o.
1
Rearrange 1642*s - 1278*s + 2751*s to l*s + d and give l.
3115
Express (r - r + 8*r)*(-152*r - 146*r + 79*r)*(-4 + 0 + 6) in the form y*r + t + k*r**2 and give y.
0
Rearrange -1839 + g - 1767 + 5461 + 0*g**2 - g**3 - 2*g**2 - 1777 to n + s*g + i*g**2 + q*g**3 and give i.
-2
Express -129 + 14 - 3*t**2 - 95 - 12 in the form x*t**2 + r*t + a and give a.
-222
Express (-3*c - c + 3*c)*(3*c + c - 5*c) + (-303*c - 421*c + 1241*c)*(0*c - 2*c - c)*(0 - 2 + 0) - 2 + 2 - 2*c**2 in the form u*c + o + q*c**2 and give u.
0
Rearrange (-574 + 43 - 889 - 193 - 2 - 3 + 7 + (-2 + 2 + 1)*(-1 + 4 + 1) - 4 + 1 + 4)*(-1 + 3 + 0)*(-5*c - c + 3*c) to d + b*c and give b.
9636
Express q - 8*q**4 - 2*q**4 + 2*q**4 + (564*q - 24*q**2 - 564*q)*(-q - 5*q**2 + 28 - 28) in the form y*q**2 + p*q + u*q**4 + c + k*q**3 and give k.
24
Rearrange -19*o + 58*o + 235 - 20*o - 17*o to f*o + m and give m.
235
Rearrange (10 - 3*x**3 - 10)*(25 + 28 - 9 - 3981*x - 44 + (-4 - 2 + 7)*(-1 + x + 1)) to the form r*x + b*x**3 + z*x**2 + u*x**4 + w and give u.
11940
Express (121 - 285 + 124)*(-1 + 0 + 2)*(-2*s**3 + 16*s**3 + 14*s**3) as i + o*s + w*s**3 + x*s**2 and give w.
-1120
Express (-16 + 16 - 10*j**2)*(2*j**2 - j**2 + 61612 - 60873) in the form m*j + v*j**4 + z + o*j**3 + a*j**2 and give v.
-10
Express (-3*q**2 - 2*q**2 + 4*q**2)*(-8 - 14136*q + 14005*q + 2) as s + f*q**2 + v*q**3 + t*q and give f.
6
Rearrange 2850631*k**2 - 2850631*k**2 - 47 - 180*k**3 to y*k**2 + d + x*k + u*k**3 and give d.
-47
Rearrange 2846*j**2 - 7696*j**2 + 2726*j**2 to the form y + o*j**2 + h*j and give o.
-2124
Rearrange 15*u - 12 - 56 + 8*u + 4*u - 11*u to f*u + x and give x.
-68
Rearrange 17401286*u - 17401878*u + 2 - 17 to the form v*u + c and give c.
-15
Rearrange (-899 - 982 - 733 - 1297)*(-4 + 3*j + 1 + j) to the form q + l*j and give l.
-15644
Rearrange -13*l**3 + 48*l**2 - 9*l - 10*l**2 - l + 11*l**3 - 23*l to the form f*l**2 + a*l + r + w*l**3 and give f.
38
Rearrange (3*i - 4*i + 0*i)*(i - 5*i + i) + (-5 + 2 + 4)*(11 + 8 + 15)*(-4*i**2 - 3*i + 3*i) to t + a*i + u*i**2 and give u.
-133
Rearrange 538*z**2 - 9 - 406146241*z + 406146241*z to a + c*z**2 + b*z and give a.
-9
Express (-3*h + h + 0*h)*(5 + 0 - 4) + (-15 + 4 - 27)*(h + 4*h - 4*h) + (h + 2 - 2)*(0 - 4 + 2) - h - 1 + 1 as a*h + g and give a.
-43
Express 622823*k**2 - 622823*k**2 + 303*k**3 + (-12 - 2*k**2 + 12)*(k + 0*k + 0*k) in the form z + w*k**3 + l*k**2 + v*k and give w.
301
Express 6*q**3 - 2*q**3 + q**4 - 99 - 80 + 2*q - q + 187 as t*q**4 + p*q**2 + i*q**3 + u + g*q and give t.
1
Rearrange 145*o - 4779*o + 1465*o - 3163*o to the form l + d*o and give d.
-6332
Rearrange 88*m - 410*m**2 - 414*m**2 - 85*m to j*m**2 + h*m + c and give j.
-824
Express (46*y**2 + 3*y**2 - 42*y**2 + 6)*(20*y + 5*y**2 - 20*y) + (0*y + 0*y + 2*y**4)*(-2 - 4 + 3) as s + j*y**3 + b*y**2 + d*y + u*y**4 and give b.
30
Rearrange 2*a + 4*a**2 - 2*a + a + (-587*a - 367*a - 229*a)*(-2*a - 4 + 4) to the form z*a**2 + s + y*a and give y.
1
Rearrange (2 - 2 - 3)*(x + 1 - 1)*(0*x - 3*x + 0*x)*(5 + 3 - 2)*(1503*x + 17*x**2 - 1503*x) to c*x + k*x**2 + b*x**3 + l + i*x**4 and give i.
918
Express -42499*s + 21141*s + 30 - 30 in the form t + k*s and give k.
-21358
Rearrange -19 - 76*u + 15 + 148*u - 72*u + 539*u**2 to the form r*u + x*u**2 + o and give x.
539
Rearrange 5*h - 4*h**3 - 108*h**4 - 4*h + 102 - 50 - 50 + 7*h**3 to the form k*h**3 + r*h + o*h**2 + l*h**4 + s and give r.
1
Rearrange -72 + 238 - 74*x - 85 - 79 to w + s*x and give s.
-74
Express 252 - 7*y - 128 + 40 + 232 in the form c*y + i and give i.
396
Rearrange 243*f**2 - 35*f + 3*f + 5 + 2 - 293*f**2 - 5 to the form m*f + q + z*f**2 and give q.
2
Rearrange (-230*q - 3 + 16 - 13)*((-5 - 1 + 5)*(3*q - 3*q - q) + 6*q + 178 - 178 + q + 3*q - 5*q) to the form v + b*q**2 + w*q and give b.
-1380
Express -45*l**2 - 7964 - 4*l**2 + 7960 - 30*l**2 as j*l**2 + t + i*l and give t.
-4
Rearrange -372*m + 372*m + 4 - 630*m**2 + 171*m**2 - 1 to c*m**2 + l + i*m and give l.
3
Express (-8 + 8 + 7)*(200 - 9*r - 200)*(0 - 5 + 3)*(2*r - 4*r + 3*r) as i*r**2 + h + a*r and give h.
0
Rearrange 167*w**2 + 174*w**2 - 341*w**2 - 135 + 4*w**3 to t*w + i + g*w**2 + k*w**3 and give k.
4
Express 274*s + 3331 - 1122*s - 3330 - 8682*s as g*s + d and give d.
1
Rearrange 0*v**3 + 2*v**4 + 0*v**3 + 2*v**3 + (133*v**2 + 142*v**3 - 133*v**2)*(-4 + 4 + 2*v) to the form u*v**4 + s*v**2 + z*v + h*v**3 + a and give h.
2
Rearrange (0*x + 0*x + 2*x)*(-1956*x - 5925*x - 9346*x - 15665*x) to the form j*x**2 + n*x + c and give j.
-65784
Rearrange -2 + r**3 - 3*r + 6 - 4*r**2 - 3*r**2 + 5 - 7 + 7*r**4 to the form n*r**2 + s*r**4 + d + l*r**3 + q*r and give n.
-7
Rearrange -6 - w - 3*w + w + (-204*w + 92*w - 215*w)*(-1 + 3 - 1) to the form r*w + t and give t.
-6
Express 0 - 3 - 2*b - 5 + 18*b - 4*b**2 + 7 in the form r + w*b**2 + a*b and give r.
-1
Rearrange (4*c**2 + c**2 - 6*c**2)*(3310 - 837*c - 3312 - 453*c) to the form w + z*c**3 + g*c**2 + q*c and give g.
2
Express 7*o + 143*o**2 + 4*o**3 - 73*o**2 + 2940*o**4 - 71*o**2 + 3 - 2941*o**4 in the form p*o**3 + i*o + t*o**4 + l + b*o**2 and give i.
7
Express (0*q - 4*q + 2*q)*(-3*q**2 - 2*q**2 + 3*q**2)*(1 - 2 + 2) - 39940 - 571*q**3 + 39940 as h*q + r*q**3 + z + a*q**2 and give r.
-567
Rearrange 405*n + 5961*n - 1872*n + 5903*n to the form f*n + o and give f.
10397
Express -4*h - 2*h**3 + 19 + 7*h - 2*h**4 - 16 - 2*h in the form n*h**4 + z*h**3 + o*h + y + v*h**2 and give o.
1
Rearrange 91*t - 2*t**4 + 32*t - 122*t - 3858*t**2 to p + n*t**2 + w*t**4 + r*t + f*t**3 and give n.
-3858
Express 39*i - 14048*i**3 - 8664*i**2 - 37*i + 14047*i**3 in the form r + n*i**3 + t*i + s*i**2 and give n.
-1
Express -363*j**3 - 38*j - 9 + 2*j**2 + 10*j + 10*j + 365*j**3 in the form k*j + q + z*j**3 + o*j**2 and give z.
2
Rearrange -90*v**2 + 0*v**2 - 37*v**2 + (3*v + 13 - 13)*(-2*v - 3*v + 4*v) to n + d*v + u*v**2 and give d.
0
Rearrange (-2*i**3 - i**3 + i**3)*(0 - i + 0) - 317*i**4 - 353*i**2 + 353*i**2 to d*i + c*i**2 + k*i**3 + m + u*i**4 and give u.
-315
Rearrange 0*n + 6*n - 8*n + (-5 + 3 + 4)*(3*n - 2*n - 2*n) + (-15 - 10*n + 15)*(-3 + 6 - 1)*(-2 - 2 + 12) to j + f*n and give f.
-164
Express 2*t**3 + 6 - 68*t - 76*t + 1 - 67*t + 1 as v + b*t**2 + l*t + i*t**3 and give l.
-211
Rearrange -1015*y**2 - 340*y + 338*y + 77*y**2 to j*y + q + r*y**2 and give j.
-2
Rearrange (-6*u + 2*u - u)*(-1 + 9 + 1)*(-22 + 120 + 32) - 4*u + u + 2*u to k*u + c and give k.
-5851
Rearrange 235*m + 8*m**2 - 429*m + 191*m to o*m**2 + l*m + t and give l.
-3
Rearrange (59324 - 1303*r - 59324)*(-3*r**3 + r**3 - 3*r**3) to y + b*r**3 + q*r + g*r**4 + w*r**2 and give g.
6515
Rearrange (8 + 6527*i + 6423*i - 12882*i + (2 + 0 + 0)*(-2*i - 1 + 1))*(3 - 2 + 1)*(i**3 + 0*i**3 + i**3) to n + b*i**2 + j*i**3 + t*i + l*i**4 and give l.
256
Express -9*w - 241 + 13*w - 2*w - 5*w - w in the form f + t*w and give t.
-4
Express 2940*r**2 - 15022*r**2 + 5156*r**2 - 10324*r**2 as t*r**2 + h*r + q and give t.
-17250
Express -67*v**2 + 49*v**2 + 1 - 5*v**3 + 44*v + 17*v**2 - 2 in the form y*v**2 + o*v + f + b*v**3 and give f.
-1
Express 1886*c**3 - 3900*c**3 - 2 + 1999*c**3 + c**2 + 15*c in the form x*c + f*c**2 + b + h*c**3 and give b.
-2
Express (709*b**2 + 541*b**2 - 1555*b**2 + (-3*b + 4*b + 3*b)*(2*b - b - 6*b))*(2 + 0 - 3) in the form u*b + h*b**2 + r and give h.
325
Express -4*a + 4*a + 3*a**2 + (a - a - 2*a)*(2 - 2*a - 2) + 24*a**2 + 4*a**2 + 5*a**2 - 4*a - 2 + 4*a - a**2 + a as x + v*a + h*a**2 and give x.
-2
Rearrange -34818*u + 64216*u - 49665*u to the form k + p*u and give p.
-20267
Express 3*f**2 + 6*f**4 + 7021*f**3 - 7023*f**3 + 75 - 4*f**2 - 2*f**4 + 0*f**4 as i*f**3 + v*f**2 + y + z*f + o*f**4 and give o.
4
Rearrange -176*w**2 + 2*w**3 - 5*w**3 + 3*w**3 + 166*w**2 - w**3 - 11 + 3*w**4 to the form y*w**2 + | {
"pile_set_name": "DM Mathematics"
} |
5 + -3)/1. Let l be (3 + -1)*1*-1. Sort d, 4, l in descending order.
4, l, d
Let c = 1.08 - -0.02. Let h = c + -0.1. Let a be (0 - 0)*(-1 - 0). Put -1/4, h, a in increasing order.
-1/4, a, h
Let o = -0.19 + 4.19. Let i = -0.01 + -0.39. Sort o, i, 1/5 in decreasing order.
o, 1/5, i
Let u = -55 - -391/7. Put -0.6, -5, u in increasing order.
-5, -0.6, u
Suppose -14*k = -16*k. Suppose h + 4 = 5*h. Sort k, -3, h in decreasing order.
h, k, -3
Let a = 35 - 36. Let q(j) = -j**2 + 1. Let o be q(-2). Sort a, 4, o.
o, a, 4
Suppose -2*w - 5 = 5*d - 6*w, 3*d + 30 = -3*w. Put 0, 4, d in descending order.
4, 0, d
Let j = 7 + -7.2. Let l = j + 4.2. Sort -0.06, -1/3, l in descending order.
l, -0.06, -1/3
Suppose -r + 11 = -0*a + 5*a, -5*a = 5*r + 25. Let y be 1 - r/((-54)/8). Let f(h) = h**2 + 4*h - 1. Let x be f(-3). Put 1, x, y in descending order.
1, y, x
Let l(t) = 4*t + 4. Let a be l(5). Suppose 0 = 5*k + 2*r - a, k - 8 = -r - r. Let d(h) = -h**2 + 5*h + 11. Let v be d(7). Put 5, k, v in increasing order.
v, k, 5
Let w = 1.3 + -0.3. Let v = 1.1 - w. Let g = -8 - -6. Sort v, 2/5, g in decreasing order.
2/5, v, g
Let l(o) = o**3 - 8*o**2 - 9*o - 1. Let g(v) = -6*v**3 + 40*v**2 + 46*v + 4. Let q(n) = -2*g(n) - 11*l(n). Let f be q(-7). Sort 1/6, f, 0.1 in decreasing order.
f, 1/6, 0.1
Let f be 0 + 1/(51/(-12) + 4). Put -3, f, -1 in increasing order.
f, -3, -1
Let m = -0.04 - -5.04. Let h = 2.7 + 0.3. Sort h, -1/2, m in descending order.
m, h, -1/2
Let d(i) = -i**3 + 7*i**2 - i + 5. Let y be d(7). Sort -4/5, y, 0.4 in decreasing order.
0.4, -4/5, y
Let g(x) = -x**3 + 3*x**2 + x - 2. Let l be g(1). Put 0.4, l, -1/3 in decreasing order.
l, 0.4, -1/3
Let i be -3*(-4)/(24/14). Suppose t + 5*p + 7 = -10, t - i = p. Suppose w - m = 0, 3*w - 2*w = 3*m. Put -2, t, w in descending order.
t, w, -2
Let b be (-6 - 4/(-2))*-1. Suppose 4*c - 5*s = 15, -7*c + 3*c + 12 = -b*s. Suppose c = -4*u + 3*u - 4. Sort -0.4, -0.1, u.
u, -0.4, -0.1
Let z = -0.2 + 0.4. Suppose -4 = -3*s - 4*g, 2 + 12 = 2*s - 3*g. Let k = s + -5. Put k, z, 2/19 in decreasing order.
z, 2/19, k
Let n be (-2 - 5/((-30)/26)) + -2. Sort 2, n, -1/6 in ascending order.
-1/6, n, 2
Suppose -3*z - 2*h = -42, 3*z - 12 = z + 4*h. Suppose m + z = 5*m. Let k(u) = u**2 - 9*u + 5. Let i be k(8). Sort i, m, -1 in ascending order.
i, -1, m
Let u = -22 + 34. Suppose 8 = -5*h - u. Put 3, 0, h in ascending order.
h, 0, 3
Let z = -0.6 - 3.4. Let w = -47 - -44.9. Let p = 0.1 + w. Put p, z, 1 in descending order.
1, p, z
Let v be -3 + 57/21 + (-133)/49. Put v, 2, 12 in decreasing order.
12, 2, v
Suppose -7 = q - 2. Let i(t) = t**2 - 8*t - 11. Let b be i(9). Sort b, 0, q in decreasing order.
0, b, q
Let y = 29 + -25.27. Let v = 0.27 + y. Put -2/9, -0.03, v in increasing order.
-2/9, -0.03, v
Let a = -7.33 + -1.67. Sort -4, a, -3/2, 0 in descending order.
0, -3/2, -4, a
Let a = -217/584 - 1/292. Let c = -34 - -34.3. Put c, 4, a in decreasing order.
4, c, a
Let j(k) = k + 10. Let u be j(-8). Let h(z) = z**2 + 2*z - 3. Let s be h(u). Suppose 2*q - 3*i - 11 = 6, -s*i = -2*q + 27. Sort q, 0, 5 in descending order.
5, q, 0
Let q = 73.93 + -74. Let x = 4 + -9. Sort q, x, 0.1 in ascending order.
x, q, 0.1
Suppose -204 = 4*g + 3*d, -6*d + d - 204 = 4*g. Let l be (g/24 - 0) + 2. Sort -5, l, -4/5 in descending order.
l, -4/5, -5
Suppose 0*n = 3*n + 6. Let x be (n + (3 - 1))/(-2). Put x, -3, -4 in increasing order.
-4, -3, x
Let y = 90 + -92. Sort 4, y, -3, -1 in ascending order.
-3, y, -1, 4
Let c be 2 - (-1)/(3/3). Suppose c*d + d = 0. Suppose d*k - 9 = -3*k. Sort -2, k, 2.
-2, 2, k
Let m(t) = t**3 - t**2 + t + 3. Let w be m(0). Suppose -4*o - w = -7. Sort o, -4, 4.
-4, o, 4
Suppose -6 = 2*d, 2*t + 4*d = 2 - 10. Let f be (-1)/(-3) - (-2)/(-6). Let p = 1 - f. Sort p, t, -4.
-4, p, t
Let b(k) = -k**3 - k**2 + 1. Let c be b(0). Suppose -7 = -2*p - 3*u, 2*p - 2*u + 7 = -c. Suppose -2 = -4*h + 2*x, -4*h - x + 3 + 14 = 0. Sort p, -3, h.
-3, p, h
Let f = -21093 - -886063/42. Let s = -25/6 + f. Let d = -1.4 + 1. Sort s, d, -1/2.
-1/2, s, d
Let c = 1.96 - 1.56. Sort c, 5, -5.
-5, c, 5
Let j = 10161174 + -15597403328/1535. Let t = -2/307 - j. Sort t, 2/7, 0.4 in decreasing order.
t, 0.4, 2/7
Let i = 2/3381 - -219757/13524. Let s = -569/36 + i. Put 2, 3, s in increasing order.
s, 2, 3
Let f = -20 - -22. Sort 3, -2, f.
-2, f, 3
Let c(d) = -d**2 - 3*d + 5. Let x be c(-4). Let q = -6 - -10. Suppose -4*f = -2*t - 18, 0 = -2*t + f + 2*f - 15. Sort q, t, x in decreasing order.
q, x, t
Let b be -6 - 2/(3/(-3)). Let i = 3 + -2. Sort b, i, 3 in increasing order.
b, i, 3
Let s(q) = q**2 - 4. Let t be s(2). Sort t, -0.4, -0.09, -4/3 in ascending order.
-4/3, -0.4, -0.09, t
Let t be ((-7)/(-14))/(15/12). Put 1, -4/3, t in descending order.
1, t, -4/3
Let l(h) = h**3 - 6*h**2 + h - 3. Let c be l(6). Let s be 40/18 + (-4)/18. Suppose -3*f + s = 5. Put c, f, 0 in descending order.
c, 0, f
Let o(i) = i**2 - 8*i + 4. Suppose 3*c - 14 = 2*a, -2*a - 3*a - 4*c = -11. Let p = 9 + a. Let x be o(p). Put x, -3, 1 in decreasing order.
x, 1, -3
Suppose 0 = 2*i - 4*i. Let r be -1 - -2 - (-2 - i). Put 5, r, -5 in ascending order.
-5, r, 5
Let t(j) = -j**2 + 2. Let a be t(0). Let f be 42/(-15) - 2/10. Let p be a/(-2) + f/(-1). Put 4, p, -3/2 in ascending order.
-3/2, p, 4
Suppose 0*q - 6 = -2*q. Suppose -q*x + 14 = -2*x + 3*m, 2*m - 8 = -2*x. Let f = 10 - 7. Put f, x, 1 in decreasing order.
f, 1, x
Let n = -2 - -4. Suppose -3*o - 4*t = -2*o + 4, 0 = -n*o - 4*t. Put -3, -1, o in decreasing order.
o, -1, -3
Let x be (12/(-16))/(2/(-8)). Suppose 5*k + 2*c - 19 = -c, -2*c = -6. Sort -5, x, k in increasing order.
-5, k, x
Let d be 2/4 - 10/12. Let q(m) = m**2 + m - 2. Let z be q(2). Let r be z/16*(3 + 1). Sort 3/2, d, r in descending order.
3/2, r, d
Suppose -3*m - 9*u + 5*u = -20, m - 3*u = -15. Put 8, m, -5 in descending order.
8, m, -5
Let u = 4 + 1. Let s = 0 + 0. Sort u, -3, s in decreasing order.
u, s, -3
Let g = 1.7 + -8.7. Let k = 6.7 + g. Let a = -0.2 - k. Sort 4, 2/3, a.
a, 2/3, 4
Let n(w) = w**2 + 6*w - 4. Let p be n(-7). Suppose 5*o + 2*i + i - 4 = 0, 4*o - i - 10 = 0. Let d be (-3 - -1)*2 - -2. Sort d, o, p in ascending order.
d, o, p
Let s be ((-9)/6 - -1)/((-2)/(-4)). Put s, 1, -2 in increasing order.
-2, s, 1
Let b(w) = w**3 - 4. Let m be b(0). Let u(n) = -n**3 - 23*n**2 - n - 21. Let x be u(-23). Sort 3, x, m in increasing order.
m, x, 3
Suppose 0 = o + 3. Let k = -8.4 + 5.5. Let l = 1.1 - k. Sort -0.7, l, o in decreasing order.
l, -0.7, o
Let k = -0.4 - -1.4. Let j = -0.8 + k. Let d = j - -0.3. Put -2/7, -2, d in descending order.
d, -2/7, -2
Let y = 1 - 0. Suppose 2*i = -5*k + 21, 0 = i - 6*k + k + 27. Let p = 13 + -14. Sort i, y, p in ascending order.
i, p, y
Let d be -1 + 1 - (7 + -4). Let t(c) = c - 1. Let i be t(-1). Sort i, d, -1 in increasing order.
d, i, -1
Suppose -2*m = 5*w - 6*m - 46, 5*w - m - 34 = 0. Let k be 1/3 + 36/(-27). Let a be k + (w/(-14) - -2). Put 2, a, 5 in decreasing order.
5, 2, a
Let d be -5*((-12)/10)/(-1). Let g be -2*15/d - 3. Suppose -1 - g = 3*a. Put 5, a, -2 in descending order.
5, a, -2
Let u be 4/(-18)*-2 - 7/21. Put 3, u, 11 in descending order.
11, 3, u
Suppose -3*z = -2*z + 3, 5*i + 2*z = -21. Put 3, 1, i, 4 in descending order.
4, 3, 1, i
Let z = -2.4 + 3.8. Let r = 1.2 - z. Let x = -11 + 15. Sort r, -1/9, x in descending order.
x, -1/9, r
Let r = -67 + 68. Sort r, -2, -4 in descending order.
r, -2, -4
Let w = 0.5 + -0.1. Let g = -0.3 + w. Let y = -2 + 5. Sort 1, y, g in decreasing order.
y, 1, g
Let m = 3.1 + -3. Put -1, m, -1/7 in decreasing order.
m, -1/7, -1
Suppose -4*x + 5 = -3*x. Let z be 13/(-65) + (-9)/x. Let q be (2 + 0 - -2)/1. Put q, 5, z in decreasing order.
5, q, z
Let h = -81 + 83. Sort -4/9, 1/7, h in descending order.
h, 1/7, -4/9
Suppose -3 = m - 4*c - 0*c, -23 = -5*m + c. Let s = -145 - -149. Put -2, m, s in increasing order.
-2, s, m
Let l be (-1 - -3)/2*1. Let i(z) = 2*z + 3. Let w be i(-3). Let u = 1 - 1. Sort w, u, l.
w, u, l
Let m = 13.1 + -10.9. Sort -1, -2/9, m in descending order.
m, -2/9, -1
Suppose -q - 3*r = -14, 6*r - 18 = q + r. Let m be q + (-15)/(-9)*-1. Let h = 0.5 - 0.7. Put m, h, 5 in ascending order.
h, m, 5
Let x be ((-57)/12)/1 - 2/8. Let o(k) = -k**2 + 6*k. Let d be o(6). Put 6, x, | {
"pile_set_name": "DM Mathematics"
} |
prime factors of 296011.
296011
List the prime factors of 920016.
2, 3, 6389
List the prime factors of 5972819.
181, 32999
List the prime factors of 37312827.
3, 19, 654611
What are the prime factors of 7047364?
2, 83, 21227
List the prime factors of 119387.
277, 431
List the prime factors of 326113.
326113
List the prime factors of 5111448.
2, 3, 89, 2393
What are the prime factors of 1004440?
2, 5, 25111
What are the prime factors of 12838763?
7, 1834109
What are the prime factors of 5969827?
5969827
List the prime factors of 314514.
2, 3, 101, 173
List the prime factors of 185455.
5, 29, 1279
What are the prime factors of 210819?
3, 7, 10039
List the prime factors of 1415404.
2, 431, 821
List the prime factors of 225777.
3, 17, 19, 233
What are the prime factors of 2208390?
2, 3, 5, 73613
List the prime factors of 949192.
2, 59, 2011
List the prime factors of 4011705.
3, 5, 59, 1511
List the prime factors of 1559458.
2, 89, 8761
What are the prime factors of 14905829?
2767, 5387
What are the prime factors of 7012754?
2, 7, 500911
What are the prime factors of 3905327?
3905327
List the prime factors of 10805411.
10805411
What are the prime factors of 518137?
518137
What are the prime factors of 1346037?
3, 7, 11, 5827
What are the prime factors of 1439163?
3, 11, 14537
List the prime factors of 57171.
3, 17, 19, 59
List the prime factors of 288276.
2, 3, 24023
What are the prime factors of 11111868?
2, 3, 308663
What are the prime factors of 4000904?
2, 500113
List the prime factors of 26484104.
2, 97, 34129
What are the prime factors of 256019?
256019
List the prime factors of 32209783.
211, 293, 521
List the prime factors of 1862043.
3, 199, 3119
What are the prime factors of 1862258?
2, 931129
List the prime factors of 6148431.
3, 683159
List the prime factors of 60828.
2, 3, 37, 137
List the prime factors of 59631.
3, 11, 13, 139
List the prime factors of 1162165.
5, 232433
List the prime factors of 667335.
3, 5, 17, 2617
List the prime factors of 1099637.
7, 11, 14281
List the prime factors of 2410845.
3, 5, 160723
List the prime factors of 9801722.
2, 7, 421, 1663
List the prime factors of 3880481.
11, 352771
List the prime factors of 5877106.
2, 61, 67, 719
List the prime factors of 691510.
2, 5, 69151
What are the prime factors of 135599?
135599
What are the prime factors of 460603?
11, 13, 3221
What are the prime factors of 592785?
3, 5, 4391
List the prime factors of 1050209.
17, 163, 379
What are the prime factors of 131031?
3, 23, 211
What are the prime factors of 4840175?
5, 193607
List the prime factors of 5623268.
2, 7, 47, 4273
List the prime factors of 42273.
3, 7, 11, 61
List the prime factors of 107635.
5, 11, 19, 103
List the prime factors of 256248.
2, 3, 3559
What are the prime factors of 1819219?
367, 4957
List the prime factors of 985700.
2, 5, 9857
What are the prime factors of 557295?
3, 5, 53, 701
List the prime factors of 49266.
2, 3, 7, 17, 23
What are the prime factors of 18117?
3, 11, 61
List the prime factors of 1294801.
73, 17737
What are the prime factors of 1194643?
23, 51941
What are the prime factors of 269064?
2, 3, 37, 101
List the prime factors of 786224.
2, 49139
What are the prime factors of 797482?
2, 7, 56963
What are the prime factors of 595892?
2, 11, 29, 467
What are the prime factors of 7764711?
3, 19, 136223
What are the prime factors of 1860310?
2, 5, 17, 31, 353
What are the prime factors of 1352293?
1352293
What are the prime factors of 359250?
2, 3, 5, 479
List the prime factors of 10525540.
2, 5, 43, 12239
What are the prime factors of 1449767?
11, 131797
List the prime factors of 29953240.
2, 5, 748831
What are the prime factors of 334064?
2, 20879
List the prime factors of 11573397.
3, 11, 116903
What are the prime factors of 649716?
2, 3, 29, 1867
List the prime factors of 7493179.
61, 122839
What are the prime factors of 351202?
2, 175601
What are the prime factors of 14576838?
2, 3, 19, 127867
List the prime factors of 3490703.
3490703
What are the prime factors of 6147464?
2, 71, 79, 137
What are the prime factors of 474540?
2, 3, 5, 11, 719
What are the prime factors of 520529?
520529
List the prime factors of 150009.
3, 31, 1613
List the prime factors of 451196.
2, 112799
List the prime factors of 981310.
2, 5, 11, 811
List the prime factors of 836698.
2, 418349
What are the prime factors of 3205646?
2, 1602823
What are the prime factors of 629768?
2, 78721
What are the prime factors of 374624?
2, 23, 509
What are the prime factors of 1719876?
2, 3, 331, 433
List the prime factors of 92570.
2, 5, 9257
List the prime factors of 400668.
2, 3, 173, 193
What are the prime factors of 15674?
2, 17, 461
What are the prime factors of 239433?
3, 79811
List the prime factors of 1615123.
43, 37561
What are the prime factors of 22963158?
2, 3, 17, 101, 743
List the prime factors of 268668.
2, 3, 17, 439
What are the prime factors of 2278888?
2, 127, 2243
List the prime factors of 21791.
7, 11, 283
What are the prime factors of 451620?
2, 3, 5, 13, 193
What are the prime factors of 999050?
2, 5, 13, 29, 53
List the prime factors of 20896736.
2, 7, 13327
List the prime factors of 145344.
2, 3, 757
List the prime factors of 138731.
138731
List the prime factors of 2581.
29, 89
List the prime factors of 32764721.
11, 19, 37, 223
List the prime factors of 16757750.
2, 5, 17, 3943
List the prime factors of 265212.
2, 3, 53, 139
What are the prime factors of 230172?
2, 3, 19181
What are the prime factors of 8514069?
3, 2838023
List the prime factors of 615152.
2, 38447
List the prime factors of 869126.
2, 434563
What are the prime factors of 68155?
5, 43, 317
What are the prime factors of 2375206?
2, 17, 69859
What are the prime factors of 2318944?
2, 72467
What are the prime factors of 8951128?
2, 19, 58889
What are the prime factors of 23520022?
2, 47, 53, 4721
What are the prime factors of 28041522?
2, 3, 853, 5479
List the prime factors of 13954.
2, 6977
List the prime factors of 1041681.
3, 347227
List the prime factors of 52646.
2, 11, 2393
List the prime factors of 315844.
2, 281
What are the prime factors of 746591?
113, 6607
What are the prime factors of 226735?
5, 137, 331
List the prime factors of 949602.
2, 3, 101, 1567
What are the prime factors of 445866?
2, 3, 74311
What are the prime factors of 531693?
3, 59077
What are the prime factors of 4694009?
43, 173, 631
What are the prime factors of 134901?
3, 13, 1153
List the prime factors of 9292054.
2, 71, 65437
List the prime factors of 828589.
67, 83, 149
List the prime factors of 1098396.
2, 3, 13, 2347
List the prime factors of 13808929.
47, 229, 1283
List the prime factors of 26925135.
3, 5, 1795009
List the prime factors of 2530064.
2, 158129
What are the prime factors of 100804?
2, 11, 29, 79
List the prime factors of 33735551.
59, 571789
List the prime factors of 5529316.
2, 13, 113, 941
What are the prime factors of 52036?
2, 13009
List the prime factors of 294028.
2, 7, 10501
What are the prime factors of 1103588?
2, 275897
List the prime factors of 157103.
157103
List the prime factors of 5274725.
5, 101, 2089
What are the prime factors of 416896?
2, 3257
List the prime factors of 7347368.
2, 7, 131203
List the prime factors of 9686489.
37, 389, 673
What are the prime factors of 179995?
5, 35999
List the prime factors of 189388.
2, 113, 419
List the prime factors of 10884034.
2, 7, 777431
What are the prime factors of 901480?
2, 5, 31, 727
What are the prime factors of 23772?
2, 3, 7, 283
List the prime factors of 2061110.
2, 5, 79, 2609
What are the prime factors of 7511788?
2, 113, 16619
What are the prime factors of 3016284?
2, 3, 157, 1601
What are the prime factors of 119232?
2, 3, 23
What are the prime factors of 2493736?
2, 7, 44531
List the prime factors of 174554.
2, 87277
List the prime factors of 1615948.
2, 127, 3181
List the prime factors of 126105.
3, 5, 7, 1201
What are the prime factors of 9380550?
2, 3, 5, 23, 2719
What are the prime factors of 1791057?
3, 83, 7193
What are the prime factors of 280995?
3, 5, 11, 13, 131
What are the prime factors of 1295181?
3, 143909
What are the prime factors of 741116?
2, 41, 4519
What are the prime factors of 1154698?
2, 577349
List the prime factors of 149415.
3, 5, | {
"pile_set_name": "DM Mathematics"
} |
f q and i.
220
Suppose -4*g + 18*g = 350. What is the smallest common multiple of 10 and g?
50
Calculate the lowest common multiple of 12 and (-4)/(-26) + (-640)/(-65).
60
Let c = 10 + 8. What is the lowest common multiple of 27 and c?
54
Let c = 322/15 + 77/60. Calculate the common denominator of c and -61/32.
32
Suppose 2*c - 17 - 13 = 0. Let b be -2*(3 - -2) + 1. Let m = c + b. Calculate the least common multiple of 9 and m.
18
Let i = 5/239 - 7225/2629. Find the common denominator of i and 52/5.
55
Let j(u) = -5*u + 10. Let b be j(-5). Suppose 3*k = -2*k + b. What is the lowest common multiple of k and (0 + (-4)/(-6))*12?
56
Let a = -241474/35217 + -2/5031. Calculate the common denominator of a and -93/4.
28
Find the common denominator of (-4)/22*(-32 + 11) and -20/19.
209
What is the smallest common multiple of 9 + -4 - (-3 + -1) and 4?
36
Let s = 528 + 56. Let f = -9341/16 + s. Find the common denominator of -97/6 and f.
48
Suppose 0 = -7*v + 1284 - 248. What is the smallest common multiple of 4 and v?
148
Suppose 0 = -3*z + 5*z + 10, -3*p = -2*z - 19. Calculate the smallest common multiple of p and 9.
9
Let z = 158 - 607/4. What is the common denominator of 10/17 and z?
68
Suppose 56 = 5*u + 181. What is the common denominator of (2 + 46/u)*-55 and 6/17?
85
Let d(v) = -v + 22. What is the smallest common multiple of d(8) and 26?
182
Let x be 2/(3 + -1) - 19. Calculate the common denominator of x/15*375/20 and 27/8.
8
Let i = 8 + -1. Let d = 17 - i. What is the smallest common multiple of (-1)/2 - d/(-4) and 5?
10
Let c = 28 - 12. Suppose 3*u + 2*g = -2*g, -3*u = g + 9. Calculate the smallest common multiple of 62/8 + (-1)/u and c.
16
Suppose n = 8 + 2. Suppose -25 = -5*x - n. Calculate the lowest common multiple of 8 and x.
24
Let a = -127 + 137. Calculate the least common multiple of a and 94.
470
Let o = 18 + 0. What is the lowest common multiple of o and 22?
198
Let v(r) = 2*r + 10. What is the lowest common multiple of 24 and v(4)?
72
Let r(v) be the third derivative of v**5/60 + v**4/4 - 2*v**3/3 - 3*v**2. Let j be r(-7). Let o = j + 0. Calculate the smallest common multiple of o and 2.
6
Let r = 28792802/9 - 3202765. Let a = 3571 + r. What is the common denominator of -67/2 and a?
18
Suppose 2*n + 57 = -5*l, 3*n + 68 = -0*n - 4*l. Calculate the common denominator of 101/10 and (-26)/n*196/21.
30
Suppose 4*b = 3*u - 12, 0*u = u. Let h = 3896/209 - 330/19. Calculate the common denominator of 19/(-9) + (b - -4) and h.
99
Suppose -t = 6*t - 21. What is the smallest common multiple of 27 and t?
27
Suppose -5*g = -5*z + 5, -6*z + 7 = -5*g - 2*z. Let p(q) = -25*q - 7. Let f be p(5). What is the common denominator of -27/8 and 135/f - g/12?
88
Let j(p) = 5*p - 14. Let k be j(4). Let v(l) = 21*l - 3. Let n be v(3). What is the common denominator of -77/6 and 37/n - 4/k?
60
Let j(w) = 7*w + 2. Suppose 3*u + 4*n - 6 = -2*u, 5*u - 3*n - 13 = 0. Suppose -u*a = a - 18. Calculate the least common multiple of a and j(2).
48
Let k = 5869/6 + -985. What is the common denominator of k and -3/20?
60
Let b = 11 - 19. What is the common denominator of (-21)/(-30) - 2/b and 4/(-30)*695/12?
180
Find the common denominator of -1 + -3 + (-644)/(-80) and 138/(-28) + (-1)/1.
140
Let y be (-2)/(2 - 1) - -84. What is the lowest common multiple of 10 and y/26 - 4/26?
30
Calculate the common denominator of -7/4 and ((-3)/42)/(6/244).
84
Let i = -9407/2090 + 26/95. What is the common denominator of 113/6 and i?
66
Calculate the common denominator of -103/24 and 5/400*165/2*3.
96
Let h be (-23364)/7 + (-5)/(105/6). Let q be -2 - (-20123)/(-6)*-1. Let y = h + q. What is the common denominator of -47/2 and y?
6
Suppose 70 = 4*k + k. Suppose 0*o - 5 = 5*o. What is the smallest common multiple of 123/12 + o/4 and k?
70
Let n = 1326 + -1863. Let y be (-5)/(-7)*(2 + -763). Let h = y - n. What is the common denominator of h and -42?
7
Let x(i) = -i**3 + 9*i**2 - 4*i - 10. Calculate the smallest common multiple of x(5) and 14.
70
Suppose 0*n - 224 = -n - 2*z, 1135 = 5*n + 5*z. Find the common denominator of -1 + 2 - n/36 and 33/2.
18
Let n(k) = -k**3 + 4*k**2 + 5*k + 2. Suppose 16*i + 60 = 31*i. What is the least common multiple of i and n(5)?
4
Let q be (-47 - 0) + 1 + 1. Let j be ((-4)/6)/(6/q). Suppose -5*l + 40 = j. Calculate the least common multiple of 10 and l.
70
Suppose 3*k - 30 = -5*j, -2*j - 4*k = 3*j - 35. Suppose -q + 4 = j*q. What is the common denominator of 302/36 + (-2)/q and 23/22?
198
Let y = 37 - 15. Calculate the smallest common multiple of y and 6.
66
Let h = 114 - 96. Calculate the smallest common multiple of h and 12.
36
Let p be (327*3)/((-21)/(-14)). Calculate the lowest common multiple of p/33 - 8/(-44) and 20.
20
Suppose 4*h = 4, -3*h + 2 + 33 = 4*o. What is the lowest common multiple of 37 and o?
296
Let h = -1769 + 14179/8. Calculate the common denominator of h and 9/18 + 25/18.
72
Suppose 13 - 1 = 2*m. Calculate the lowest common multiple of 20 and m.
60
Let o = -208 + -34. Calculate the common denominator of -9/14 and 2/11 + 3069/o.
14
What is the common denominator of 62/(-8)*(-6 + 0) and (-2)/5 - 968/180?
18
Let s be 2/(-7) + (-325)/(-35). Let n = -9 + 21. Calculate the smallest common multiple of n and 3*22/s*3.
132
Let r(q) = -6*q. Calculate the lowest common multiple of (-3)/((-27)/(-60)*2/(-3)) and r(-3).
90
Let m be -2 - 1*28/2. Let b(q) = -q**3 + q**2 + 4*q + 4. Let f be b(4). Let t = m - f. Calculate the smallest common multiple of 8 and t.
24
Suppose -29*j = -34*j + 110. Calculate the lowest common multiple of j and 12.
132
Let u = 3 + -5. Let m be u/(-3) - 13/(-3). Suppose 10 + 5 = m*l. What is the least common multiple of l and 8?
24
Suppose 3*t + 6 = 6*t. Find the common denominator of ((-3)/t)/((-18)/33) and ((-1)/(1/(-115)))/6.
12
Let v be -1 - (2 + 1 + -2). Let p = -64163/3948 + 2/987. Find the common denominator of p and 57/36 - v/(-6).
4
Suppose 2*u + 3*u = -455. Find the common denominator of (12/21)/(18/u) and (-9)/30*97/(-3).
90
Let g be 1 - 1/(2 - 1). Suppose -d - 3*d - 220 = g. What is the common denominator of d/12 - 2/(-4) and 93/2?
12
Calculate the common denominator of 5/((-70)/(-4)) + (-27)/42 and (-670)/(-12)*1/10.
84
Suppose 2*u - 4*u - 2 = 0. What is the common denominator of 0 - u*(-73)/(-10) and 1 - (-1 + (-98)/(-22))?
110
Let y be (10/40)/((-3354)/(-16)). Let g = y - 95597/6708. Let z = -345515/18 + 19202. Find the common denominator of z and g.
36
Suppose 2*o - 2 = -3*d, -5 - 1 = -2*o - 2*d. Let r = o + -5. Find the common denominator of r - 2/((-44)/(-79)) and 13/6.
66
Let t = -8 - -28. Suppose 19 + 16 = 2*h - y, -3*y = 4*h - 95. What is the smallest common multiple of h and t?
20
Suppose -5*y + 32 + 98 = 0. Calculate the smallest common multiple of y and 11.
286
Let b be (-2)/8 + 194/8. Suppose -j = j - b. Calculate the smallest common multiple of j and 4.
12
Suppose -w - 8*s = -3*s + 17, 0 = -s + 1. Let r = -11 - w. Calculate the least common multiple of 10 and r.
110
Let o be (-597)/(-2) - 1*-1. Let g = o + -308. Calculate the common denominator of g and (5/((-200)/(-5)))/(2/110).
8
Suppose -2*f + 3 = -7. Suppose -5*v = -5*q + 55, -f*v + 8 = 3*q - 33. Find the common denominator of -16/5 and (-96)/(-63)*q/8.
35
Let o = 46 + -32. What is the smallest common multiple of o and 20?
140
Let w = -86 - -297/4. Calculate the common denominator of w and 11/20.
20
Let n be (-3)/((-9)/6)*-2. Find the common denominator of (252/100)/(n/10) and -83/12.
60
Calculate the smallest common multiple of 3*-5*2/(-5) and 2.
6
Let g(a) = 7*a**2 - 11 - a**3 + 1 + 4*a + 2*a. Let o be g(7). Suppose -5*s = -o + 12. Calculate the smallest common multiple of 6 and s.
12
Let f(s) = s + 14. Let i be f(-10). Suppose 2*u - i = 2. Suppose -46 + 16 = -u*z. What is the smallest common multiple of z and 2?
10
Let l be 6/16061*1/3. Let h = 267911/2536705 + 284258972713/162968076020. Let g = l + h. What is the common denominator of g and -11/18?
180
Suppose -106 + 10 = -4*u. Let o = u - 10. Calculate the lowest common multiple of o and 7*1*(-48)/(-28).
84
Let h(q) = q**2 + 10*q + 11. Let u be (-21)/2 + (-1)/(-2). What is the least common multiple of 2 and h(u)?
22
Let s = 383/2 + -161. Suppose -5*g - c - 30 = 2*c, 12 = -2*g + 3*c. Find | {
"pile_set_name": "DM Mathematics"
} |
2)*-2).
24*sqrt(17)
Simplify sqrt(1872)*-2 + (5*sqrt(78)/sqrt(6) + sqrt(13))**2 + 0.
-24*sqrt(13) + 468
Simplify (sqrt(60)/sqrt(5))**2*-5.
-60
Simplify sqrt(187)/(sqrt(132)/(sqrt(12)*3)).
3*sqrt(17)
Simplify (1 + sqrt(128) + 0 + -3 + 2)**2.
128
Simplify (sqrt(136) + sqrt(136) + sqrt(136) + sqrt(136) + sqrt(136) + sqrt(136) + sqrt(136)*1*3 + sqrt(136))/((-2*sqrt(64))/sqrt(8)).
-5*sqrt(17)
Simplify (-1 + (4 + -1 + sqrt(171) - -6*1*sqrt(171)))**2.
84*sqrt(19) + 8383
Simplify (sqrt(720) + 1 + 3 - (-3 + sqrt(720) + 1))**2.
36
Simplify -1*sqrt(637) - (1 + sqrt(1053))**2.
-1054 - 25*sqrt(13)
Simplify (sqrt(539) - -5*(0 + sqrt(539))) + -4 + 1.
-3 + 42*sqrt(11)
Simplify 6*(sqrt(125) + -1)**2.
-60*sqrt(5) + 756
Simplify (6*(-3 + sqrt(275)))**2.
-1080*sqrt(11) + 10224
Simplify ((1 + sqrt(2299))*-6)**2 - (1*sqrt(2299) + -3 - sqrt(2299))**2.
792*sqrt(19) + 82791
Simplify ((sqrt(78)/sqrt(2)*-1 - sqrt(39)) + sqrt(39))/sqrt(3).
-sqrt(13)
Simplify -5*(sqrt(5) + (1 + sqrt(720))**2 - (sqrt(5) + 0)*4)*-6.
630*sqrt(5) + 21630
Simplify (-5*(sqrt(363) + 3))**2.
1650*sqrt(3) + 9300
Simplify (sqrt(2) + 4 + 5 + sqrt(2))*-1.
-9 - 2*sqrt(2)
Simplify -2*(sqrt(931) + sqrt(931) + (1*(0 + sqrt(931)))**2 + sqrt(931))*1.
-1862 - 42*sqrt(19)
Simplify ((sqrt(51) - (sqrt(4131) + sqrt(4131) + sqrt(4131)*-2))/(sqrt(3) - (sqrt(3) + (sqrt(3)*-2 + sqrt(3))*-4)))**2.
17/16
Simplify sqrt(19) + 1*(sqrt(475))**2 + (sqrt(76) + sqrt(76) + (sqrt(76) - (3*sqrt(76) + sqrt(76) - sqrt(76))))/sqrt(4).
sqrt(19) + 475
Simplify 1 + ((sqrt(13) - (sqrt(13) + 0))*3 - (sqrt(13) + sqrt(832)*-1))**2.
638
Simplify ((-2*sqrt(245) + 5 - -6*sqrt(245)*-2)*3)**2.
-8820*sqrt(5) + 432405
Simplify -4*(-1 + (sqrt(16)/sqrt(2))/sqrt(4)).
-4*sqrt(2) + 4
Simplify (sqrt(833) + (sqrt(833) - -2*5*sqrt(833)) + sqrt(833))**2.
140777
Simplify -2 + sqrt(700)*-1.
-10*sqrt(7) - 2
Simplify (sqrt(11) + 1 + sqrt(275) + sqrt(11))**2 + (sqrt(99)*1 - sqrt(11)) + -3.
16*sqrt(11) + 537
Simplify sqrt(7) + sqrt(14)/(sqrt(2)*2) + -2 + 2*sqrt(7).
-2 + 7*sqrt(7)/2
Simplify (sqrt(85)*1)/sqrt(5) + 4.
4 + sqrt(17)
Simplify -1*(4*(sqrt(162) - (sqrt(162) + -2*sqrt(162))**2) + 5).
-36*sqrt(2) + 643
Simplify -2*sqrt(1872)*6 - sqrt(1872).
-156*sqrt(13)
Simplify 0 + -5 + (0 + sqrt(11))**2.
6
Simplify (5*(sqrt(700) + -2))**2 + 5.
-1000*sqrt(7) + 17605
Simplify (sqrt(605) - (0 + sqrt(605) - sqrt(605))) + -1.
-1 + 11*sqrt(5)
Simplify -3 + ((sqrt(396) - sqrt(396)*-2) + sqrt(396))*-6 + -4.
-144*sqrt(11) - 7
Simplify (sqrt(5)*-2 + sqrt(5))*2 - (sqrt(5) + (sqrt(5) - (sqrt(55)/(sqrt(11)*2))**2)).
-4*sqrt(5) + 5/4
Simplify 4 + sqrt(162)*1.
4 + 9*sqrt(2)
Simplify (sqrt(4598)*-5)/sqrt(2).
-55*sqrt(19)
Simplify 3*(((sqrt(104)*-2)/sqrt(4))/sqrt(2) + 3)**2.
-36*sqrt(13) + 183
Simplify (-4 + sqrt(5) + -1 + sqrt(5) + 1)**2*1.
-16*sqrt(5) + 36
Simplify (2 + (sqrt(133) + 2*(sqrt(133) - -1*sqrt(133)))/(sqrt(112) + sqrt(112)*1))**2.
5*sqrt(19)/2 + 731/64
Simplify 3 + 2*sqrt(3) - (3 + (0 + sqrt(3))**2).
-3 + 2*sqrt(3)
Simplify -1*(sqrt(18) + sqrt(72)/sqrt(4)).
-6*sqrt(2)
Simplify (sqrt(140)/(sqrt(60)/sqrt(6)))/sqrt(7)*-6.
-6*sqrt(2)
Simplify 0 + (sqrt(539)*1)**2*1.
539
Simplify ((sqrt(228) - (sqrt(228) - (sqrt(228) + 3*sqrt(228)*-3))) + sqrt(228))/sqrt(12).
-7*sqrt(19)
Simplify 2*((sqrt(20)/(sqrt(30)/sqrt(3)) + sqrt(8)/(1*sqrt(4)))**2 + 5).
26
Simplify (sqrt(3) + -6*sqrt(3))*-3 - (sqrt(12) + 4 - sqrt(3)).
-4 + 14*sqrt(3)
Simplify (sqrt(350)*-6)/(sqrt(96)/sqrt(3)).
-15*sqrt(7)/2
Simplify -1 + (sqrt(896)*3)/sqrt(2).
-1 + 24*sqrt(7)
Simplify (sqrt(27)/sqrt(9)*5)**2 + sqrt(3) + (sqrt(6)/sqrt(2) - sqrt(3)) + 5.
sqrt(3) + 80
Simplify -1 + -2*(sqrt(102)/sqrt(6) + sqrt(17))**2.
-137
Simplify 1 + 3*(sqrt(3) + 5).
3*sqrt(3) + 16
Simplify (-2 + 2 + sqrt(1584))**2 + 2.
1586
Simplify (-3*(sqrt(65) - -2*sqrt(65)))/(6*(sqrt(5) - sqrt(5)*-2)).
-sqrt(13)/2
Simplify (sqrt(363)*-2 + sqrt(363) - sqrt(363) - sqrt(363))*-5 - (sqrt(363) + (sqrt(363) - (sqrt(363) + sqrt(363) + 1)))*-4.
-4 + 165*sqrt(3)
Simplify 4 + (sqrt(204)/sqrt(1452))**2.
501/121
Simplify ((sqrt(136)*-1)/(4*sqrt(18)))**2.
17/36
Simplify 0 + (1*sqrt(1100)*-2 + sqrt(1100) + 1 + 0)**2.
-20*sqrt(11) + 1101
Simplify -1*sqrt(300)*5.
-50*sqrt(3)
Simplify 1 + -3*sqrt(44)*-1.
1 + 6*sqrt(11)
Simplify (sqrt(5) - sqrt(30)/(sqrt(6) + sqrt(24)))**2 + 0 + -2 + sqrt(5).
2/9 + sqrt(5)
Simplify (sqrt(1425)*6)/sqrt(3)*4.
120*sqrt(19)
Simplify (-1*sqrt(153)*5 + sqrt(153) - sqrt(153))/sqrt(9).
-5*sqrt(17)
Simplify sqrt(85)/(sqrt(180) - (sqrt(180) - (sqrt(180) - sqrt(180)*3 - sqrt(180)))).
-sqrt(17)/18
Simplify 4 + sqrt(68) + 1.
5 + 2*sqrt(17)
Simplify (sqrt(162)*-1)/((sqrt(18) - sqrt(162))/sqrt(2)).
3*sqrt(2)/2
Simplify -5 + sqrt(68)/(1*sqrt(4)).
-5 + sqrt(17)
Simplify (-3*sqrt(133))/sqrt(7)*2.
-6*sqrt(19)
Simplify (sqrt(180) + sqrt(180)*1)/(sqrt(4) - (sqrt(4) + (sqrt(4) - (sqrt(4) + (sqrt(4) - (sqrt(400) - (sqrt(400) - 1*sqrt(400)) - sqrt(400) - sqrt(4))))))).
3*sqrt(5)
Simplify (-3*(-4 + sqrt(117)))**2.
-216*sqrt(13) + 1197
Simplify -5 + (((sqrt(32)/sqrt(4) - sqrt(8))*-6)/(sqrt(44)/sqrt(44)))**2.
-5
Simplify (4*sqrt(32)/sqrt(2))/(sqrt(48)/(sqrt(96) - sqrt(6))).
12*sqrt(2)
Simplify (0 + ((sqrt(99))**2 - sqrt(11)) + -6*sqrt(176))*5.
-125*sqrt(11) + 495
Simplify (5*(sqrt(2) - (sqrt(2) + -1)))**2 + 4.
29
Simplify (-2 + -1 + sqrt(7) - (sqrt(28)/sqrt(4))**2*-2)*-1.
-11 - sqrt(7)
Simplify (sqrt(27) - (2 + sqrt(27)))*5.
-10
Simplify -3 + (sqrt(11) - (3*sqrt(11))**2) - (sqrt(66) - sqrt(66)*3)/sqrt(6).
-102 + 3*sqrt(11)
Simplify -2*(1 + (sqrt(153) - sqrt(153)*1)).
-2
Simplify (0 + sqrt(76) - sqrt(19)) + sqrt(38)/(sqrt(2) - sqrt(18)).
sqrt(19)/2
Simplify -5*(sqrt(6050) + 3).
-275*sqrt(2) - 15
Simplify (((0 + sqrt(1728))*4 + sqrt(1728) - sqrt(1728)) + -3)**2.
-576*sqrt(3) + 27657
Simplify 5 + sqrt(19) + sqrt(95)/sqrt(5) + -3.
2 + 2*sqrt(19)
Simplify (sqrt(567)/(sqrt(9)*1))**2.
63
Simplify sqrt(209)/(sqrt(99)*1 - sqrt(11)) + ((sqrt(38) - (sqrt(266)/(sqrt(28)/sqrt(4)) - sqrt(38)))/sqrt(2))**2.
sqrt(19)/2 + 19
Simplify -6*(2 + sqrt(153) + 0).
-18*sqrt(17) - 12
Simplify (sqrt(8640) - sqrt(8640)*2)/((sqrt(48)*3)/sqrt(4)).
-4*sqrt(5)
Simplify (-5 + (sqrt(684) - 3*sqrt(684)))**2.
120*sqrt(19) + 2761
Simplify (sqrt(833) + 2 + sqrt(833) + -5)**2 - (1 + 1 + sqrt(833)).
-91*sqrt(17) + 3339
Simplify 0 + ((5*-2*sqrt(10))/sqrt(2))**2*-5.
-2500
Simplify (4 + sqrt(320)/sqrt(10))**2.
32*sqrt(2) + 48
Simplify (1 + sqrt(26)/sqrt(2))*-3 + (-5*sqrt(468))**2.
-3*sqrt(13) + 11697
Simplify 3*sqrt(432)*4 + sqrt(432) + -3.
-3 + 156*sqrt(3)
Simplify -1 + sqrt(475) + sqrt(475)*3 - (-2 + sqrt(475)*-3)**2.
-4280 - 40*sqrt(19)
Simplify (sqrt(91) + (sqrt(91) - 2*sqrt(91))*-6 + sqrt(91))/sqrt(7) + (sqrt(1300) + 0 + sqrt(1300))*1.
28*sqrt(13)
Simplify sqrt(80)/sqrt(10) + sqrt(2) + ((sqrt(50) + -1 - sqrt(50))**2 - sqrt(2)) + sqrt(2).
1 + 3*sqrt(2)
Simplify 4 + sqrt(5) + sqrt(20)/sqrt(36) + sqrt(5).
4 + 7*sqrt(5)/3
Simplify (sqrt(39) + -6*sqrt(975))/(-4*sqrt(3)*-1).
-29*sqrt(13)/4
Simplify (2*sqrt(1664))/(sqrt(72)*-3).
-8*sqrt(13)/9
Simplify (4*sqrt(117) + sqrt(13) + -1 + 1 + 0)**2.
2197
Simplify (sqrt(11) + sqrt(33)/(sqrt(6)/sqrt(2)) + 5)**2.
20*sqrt(11) + 69
Simplify -4*sqrt(125) + 5.
-20*sqrt(5) + 5
Simplify (-1*sqrt(121)*-1)/sqrt(11)*4.
4*sqrt(11)
Simplify (sqrt(304) - (sqrt(304) + 0))**2 - ((sqrt(228)/(-2*sqrt(12)))**2 - sqrt(19)).
-19/4 + sqrt(19)
Simplify sqrt(1900) - (-5*sqrt(1900)*-3 + sqrt(1900)).
-150*sqrt(19)
Simplify (6*(-3 + sqrt(833) + -2*sqrt(833)))**2.
1512*sqrt(17) + 30312
Simplify ((1*sqrt(2592) + sqrt(18) - sqrt(18))/sqrt(6))**2.
432
Simplify (sqrt(30)/(sqrt(70)/(sqrt(42)/sqrt(6))))**2.
3
Simplify (sqrt(10)/(sqrt(8)*-3) + -3)**2.
sqrt(5) + 329/36
Simplify ((5*-1*sqrt(66))/sqrt(6))**2 + -5 + -3.
267
Simplify (2*(sqrt(102) - (sqrt(102) + sqrt(102)*-2))/sqrt(6))**2 - 2*(sqrt(68) + 1).
-4*sqrt(17) + 270
Simplify 3 + (sqrt(175) - ((sqrt(175) + 1 + -3)**2 - sqrt(175))).
-176 + 30*sqrt(7)
Simplify 3*(sqrt(63))**2*4.
756
Simplify (sqrt(19) + -2)*-3 - (-3 + sqrt(19) + -2).
-4*sqrt(19) + 11
Simplify -3 + -2 + (sqrt(13)*-2 + 5 - sqrt(13) - sqrt(13))**2.
-40*sqrt(13) + 228
Simplify ((sqrt(1300) + 3)*4 - sqrt(1300))**2*2.
1440*sqrt(13) + 23688
Simplify (((sqrt(119) + sqrt(119)*-1)*2)/(-1*sqrt(343) - sqrt(343)))**2.
0
Simplify -5*(sqrt(18)*-2 + (sqrt(450) - sqrt(2)) + -4).
-40*s | {
"pile_set_name": "DM Mathematics"
} |
*(-2870/663)
Simplify (u**(-1/6))**(-46)/((u**12/u*u*u)/(u**0*u)) assuming u is positive.
u**(-13/3)
Simplify q/((q**(-14)/q)/q)*q**(-7)*((q**(-1)/q)/q)/q*q/q**7 assuming q is positive.
1
Simplify f*f*f**(-1/3)*f*f*f**(-2/5)*f*f/(f*f*f*f**(-1))*f*f*f**(-9) assuming f is positive.
f**(-56/15)
Simplify (u/(u/u**(10/7))*u**21)/(u*((u*(u*u/u**(-1))/u)/u)/u)**27 assuming u is positive.
u**(-221/7)
Simplify b*b/b**6*b*b*b*b**(-14)*b*b*b*b**12/b**14 assuming b is positive.
b**(-14)
Simplify (x/x**(1/7))**24*(x*x**(-5)*x)**(-18/5) assuming x is positive.
x**(1098/35)
Simplify (d**(-13)/d**(-9))/((d/(d/d**(-1/3)))/d)**2 assuming d is positive.
d**(-4/3)
Simplify (((h**2*h)**35)**2)**(-20) assuming h is positive.
h**(-4200)
Simplify (r**1/r)/((r/r**4)/r)*r**(-1/6)/(r/r**(-11)*r*r*r) assuming r is positive.
r**(-67/6)
Simplify (d**(-7/2))**20/(d**3/(d/(d/d**(-1/2))*d)) assuming d is positive.
d**(-145/2)
Simplify (u*u/(u/(u**(-6)/u)))**(-9/4)*(u*((u/u**4)/u)/u)**(-16) assuming u is positive.
u**(155/2)
Simplify (y**4/y*y**12)**44 assuming y is positive.
y**660
Simplify (y**(15/2)*y*y**(-1/3))/((y*y**(-24))/y**(4/21)) assuming y is positive.
y**(439/14)
Simplify (t/(t/((t*t/(t/((t*t**7*t)/t)))/t))*t*t)**(-35)*t**(2/5)*t**(-15)*t assuming t is positive.
t**(-1818/5)
Simplify (g*g**(-2/3))**(-11)*(g**0/g)**(-33) assuming g is positive.
g**(88/3)
Simplify (t/t**1)**(-1/8)/(t**(-4/3)/(t**(-19)*t)) assuming t is positive.
t**(-50/3)
Simplify (s*s**(3/4))**(-3)/(((s/(s*s**(-1/10)))/s)/(((s**(-7)/s)/s)/s)) assuming s is positive.
s**(-287/20)
Simplify (d**(-4)/d**(1/7)*((d*d*(d**(-2)*d)/d)/d)/(d/(((d**(3/2)/d)/d*d*d)/d)*d))**(1/3) assuming d is positive.
d**(-31/14)
Simplify (z/z**6*((z/(z**(-1/2)*z*z)*z)/z)/z*z*(z**(-2/5))**1)**11 assuming z is positive.
z**(-649/10)
Simplify (d**(-1/5))**(1/65)*((d/d**8)/d)**(1/2) assuming d is positive.
d**(-1301/325)
Simplify (o**(4/11)/(o*o**(-2/17)))/(o**(-3/8))**(-7) assuming o is positive.
o**(-4703/1496)
Simplify (((a*a**12)/a)/a*a*a**(2/11))/(a*a**(-1)*a*a)**5 assuming a is positive.
a**(24/11)
Simplify (b/(b/((b**(-7)/b)/b))*b)/b**(-22)*b**(-10)/(b/((b/(b/(b*(b/(b/(((b**(3/7)*b)/b)/b)*b))/b)*b))/b)) assuming b is positive.
b**(-4/7)
Simplify ((k/k**23)/k*k/(k/(k*k**(-21))))/(k/((k**(3/8)*k)/k))**(-15) assuming k is positive.
k**(-269/8)
Simplify (c/((c/c**(-5)*c)/c)*c)**(-7)*((c**(2/15)*c)/c*c)/(c*c**(-17/5)) assuming c is positive.
c**(473/15)
Simplify ((n*n/(n**(4/11)*n)*n**(3/13))**(-33))**(-1/88) assuming n is positive.
n**(93/286)
Simplify (i**(-5)*i/(i*(i*i/(i*i/i**2)*i)/i))/((i/(i**(-1/3)*i))/i**10) assuming i is positive.
i**(8/3)
Simplify z**(-9)*z*z**(2/9)*z**12/(z/(z**(-2/5)/z)) assuming z is positive.
z**(82/45)
Simplify ((f/(f**(-1)*f))/f)**(-1/11)/(f/f**(19/2)*f*f**(-30)) assuming f is positive.
f**(75/2)
Simplify (j**(3/2)/(j**(6/7)/j))/(j/(j**(-4)/j))**(1/5) assuming j is positive.
j**(31/70)
Simplify (((p/(p*p**(-2/25)*p))**(-4/9))**(-5/4))**(4/25) assuming p is positive.
p**(-92/1125)
Simplify u**(-16)*u*u**(-1)*((u/(u/(u/u**(-3)))*u)/u)**44 assuming u is positive.
u**160
Simplify (p**(2/7))**6/(p**(7/4)*p*p*p/((p/((p*p/(p/p**(-5)))/p*p)*p)/p)) assuming p is positive.
p**(55/28)
Simplify o**(-9/7)*o**1*(o/(o/o**(-19)))/o**(2/51) assuming o is positive.
o**(-6899/357)
Simplify (i**(8/3)/i)/i**(-9/7)*(i**(-4))**(-2/55) assuming i is positive.
i**(3578/1155)
Simplify (h*h**(-2))/h**(-4/9)*(h/(h*h*h*h*h*h**(-1/10)/h)*h)**23 assuming h is positive.
h**(-3983/90)
Simplify (f/(f/((f/(f/(f/(f**(-2/23)*f))))/f*f))*f**5)/(f**(-1)*f)**(-33) assuming f is positive.
f**(117/23)
Simplify ((w*w/w**1)**(-27)*(w**1)**(-25))**24 assuming w is positive.
w**(-1248)
Simplify z**(-20)/z*z**31*(z/z**(-34))/(z*z*z*z/((z/((z**(18/7)/z)/z))/z)*z*z) assuming z is positive.
z**(269/7)
Simplify ((p**(-2))**(9/4)*(p**(8/3)*p*p*p*p)/p**(-8))**(-6/5) assuming p is positive.
p**(-61/5)
Simplify ((h*(h/(h/(h*h*h/(((h/(h**4/h))/h)/h)*h)))/h)/h)/h*h**(-8)*h**14/h**(-27) assuming h is positive.
h**39
Simplify (((a**(-2/9)/a)/a*a**(2/15))**15)**(28/3) assuming a is positive.
a**(-2632/9)
Simplify (h*h**(1/32))/h**4*h**(-31)*h**0 assuming h is positive.
h**(-1087/32)
Simplify d**(-6)/(d*d**9)*(d**(5/4)/d)/d**(-5/4) assuming d is positive.
d**(-29/2)
Simplify (f**(1/4)*f*f**(-2/71))/(f**4*f*f/((f**11/f)/f)) assuming f is positive.
f**(1199/284)
Simplify ((g*g/((g/g**(-4))/g))/(g**(4/23)/g*g))/(g*(g/(g/(g**(-6/7)*g)))/g*g**(-34)) assuming g is positive.
g**(5101/161)
Simplify ((j*j*j**(23/4))**25)**(-29) assuming j is positive.
j**(-22475/4)
Simplify ((b/b**(-4/7)*b*b**3)/((b*b/(b**(1/7)*b*b))/b**(-1)))**33 assuming b is positive.
b**(1089/7)
Simplify (i/((i*i*i*i**(1/21)*i*i*i*i*i)/i))/i**(-3/7)*(i**(2/9))**(-3/20) assuming i is positive.
i**(-1187/210)
Simplify v**11/(v*v**0*v)*v**(7/3)*v*v**10 assuming v is positive.
v**(67/3)
Simplify ((u*u**(4/7)/u)/((u*u/u**(-5))/u)*(u/u**0)**(-22))**(-2/133) assuming u is positive.
u**(384/931)
Simplify (c**(-8))**(-1/38)*c**(-4/7)*c*c*((c/(c**(-22)*c*c))/c)/c assuming c is positive.
c**(2745/133)
Simplify (o**(-2/3)*o)**(3/35)*o**13/o*o**(-22) assuming o is positive.
o**(-349/35)
Simplify (((o/(o*((o/(o/o**(-1/5)*o))/o*o)/o*o))/o)**(-2/29))**(-2/55) assuming o is positive.
o**(4/7975)
Simplify (((c**(3/7)*c)/(c*c/c**(13/2)*c))**(9/2))**5 assuming c is positive.
c**(3105/28)
Simplify (o**24/(o/o**(-3/19)))/(o**(-15)/o**2) assuming o is positive.
o**(757/19)
Simplify (u**(-10)/u**(1/5))/(u*u*u*u**(4/3)*u*u*u/u**(3/25)) assuming u is positive.
u**(-1306/75)
Simplify (b*b**2*b)**(-6/5)/(b**(-4/9))**(-3/8) assuming b is positive.
b**(-149/30)
Simplify (k*(k/k**(6/7))/k)/k*k**(-7)*(k**3/k)**(-6/7) assuming k is positive.
k**(-67/7)
Simplify (((q**(1/2)*q)/(q**(-2/3)*q))/((q/(q/q**(-7)*q)*q*q)/q**(-1/2)))**15 assuming q is positive.
q**100
Simplify (d**(-18)/d*d**15)/(d**4)**23 assuming d is positive.
d**(-96)
Simplify (((v/v**(-13))/v)/v*(v**(-11)*v*v)/v*v)/(((v*v/v**16*v*v)/v)/(v/v**(3/5))) assuming v is positive.
v**(82/5)
Simplify ((a**(1/4)/(a**(-3)*a))**47)**23 assuming a is positive.
a**(9729/4)
Simplify t**11*t*t**(7/2)*t*t**(1/19)/(t**(1/3)/t) assuming t is positive.
t**(1963/114)
Simplify (((c*c**(-1/3)/c*c)/c)**(11/3)/(c/(c**(-1)/c))**(-24))**7 assuming c is positive.
c**(4459/9)
Simplify a**(-1/11)*(a*a/((a/(a/(a**15*a)))/a))/a*a*(a/a**17*a)/a**22 assuming a is positive.
a**(-551/11)
Simplify (z**27*((z**6*z*z)/z)/z*z)**(-30) assuming z is positive.
z**(-1020)
Simplify (y**(-2))**31/(y**(-1/4)/y**13) assuming y is positive.
y**(-195/4)
Simplify ((x/x**9)/x)/x*x**(-7)/x*((x/(x*x/(((x/(x/x**(-17))*x)/x*x)/x)))/x)/x**(-12/5) assuming x is positive.
x**(-173/5)
Simplify ((i*i/(i/(i/(i/i**(-5)*i)))*i)/i*(i*i**(-2/23))/i)/((i/(i**(-29)*i*i))/((i*i**(-9/2)*i)/i)) assuming i is positive.
i**(-1683/46)
Simplify (f**(9/4))**(-27)/((f**(5/2)/f)/((f*f**(-3/7))/f)) assuming f is positive.
f**(-1755/28)
Simplify l**(-14/5)*l**(3/2)*(l*l*l*l*((l**(-1/4)/l)/l)/l*l)**10 assuming l is positive.
l**(81/5)
Simplify ((k*k/(k**(5/3)*k))/k)/k**(-7)*((k*k**(2/5))/k)/(k**(-1/2)/k*k) assuming k is positive.
k**(187/30)
Simplify ((u**0)**38*u**(-5/4)*u/(u/(u*u**(-3/4)*u)))**(-3/10) assuming u is positive.
1
Simplify ((t/t**12)/t)/(t**(-4)*t)*(t/t**(-8/5))/t**(2/27) assuming t is positive.
t**(-874/135)
Simplify (((m*m/(m**(2/15)*m)*m)/(m*m/(m/(m*m/(m*(m**5*m)/m*m)*m))))**(2/33))**2 assuming m is positive.
m**(292/495)
Simplify ((f*(f*f**(2/63))/f)/f*f/(f**(1/9)*f*f))**(-42) assuming f is positive.
f**(136/3)
Simplify ((s**(-3)/s**(2/11))/(s**(2/7))**(-9))**(1/18) assuming s is positive.
s**(-47/1386)
Simplify (b**(1/2)/b)**(-34)*b**(-13)/b**(-1/3) assuming b is positive.
b**(13/3)
Simplify (v*v*v/v**(-2/3))**(-1/13)/((v/(v/v**(11/4))*v)/((v/(v*((v*v**(1/10))/v)/v*v))/v*v)) assuming v is positive.
v**(-3223/780)
Simplify (d**(2/7))**(3/5)/(((d*d*d**(1/2)*d)/d)/(d*d**2/d)) assuming d is positive.
d**(-23/70)
Simplify ((u/(u/u**19))/(u*u**34))/((u/u**(-11))/u*u/(((u*((u*u/u**(-2)*u*u*u*u)/u)/u)/u)/u)*u*u) assuming u is positive.
u**(-25)
Simplify h/(h/(h/h**(-7/5)))*h*h*(h*(h*h**(-1/7))/h)/h*h*h*h*((((h*h*h/(h/h**9))/h)/h)/h)**(1/16) assuming h is positive.
h**(543/70)
Simplify u**(3/13)*u**15*u/(u**9*u)*u**10 assuming | {
"pile_set_name": "DM Mathematics"
} |
*l - 60. What is the remainder when (-4)/2*l/2 is divided by 7?
6
Calculate the remainder when 81 is divided by 0 - (-20 + 0 + -1).
18
Suppose 4*o - 3*v = 2*o - 15, -6 = 4*o + 2*v. Calculate the remainder when 1/3 - 8/o is divided by 2.
1
Let a be ((-14)/(-4))/((-2)/8). Let k = a - -71. Let f = k - 28. Calculate the remainder when f is divided by 10.
9
Let a(g) = g**3 + 9*g**2 - 5*g + 13. Let r = 53 + -33. Calculate the remainder when a(-9) is divided by r.
18
Suppose s = -4*z + 28, -4*z + 3*s + 19 = -25. Let o(f) = 2*f**2 - 5*f - 3. Calculate the remainder when o(5) is divided by z.
6
Suppose 4 = -3*g + 10. Let k be (3 + g)*2/5. Suppose 0*o - 2 = k*o - 5*v, v = -5*o + 49. Calculate the remainder when 17 is divided by o.
8
Suppose 0 = -4*o - 3*m - 4 - 2, 5*m = -10. Calculate the remainder when o/(-9) - (0 + -42) is divided by 9.
6
Let a = -27 - -48. Let w = -27 - -109. Calculate the remainder when w is divided by a.
19
Let c(d) be the first derivative of d**4/4 + 2*d**3 - 9*d**2/2 + 3*d + 4. What is the remainder when c(-7) is divided by 10?
7
Suppose 0 = 2*r + 4*q + 4, 7*r = 2*r - 2*q + 14. Suppose 5*v - s + 19 = 77, -r*s = 12. Calculate the remainder when 21 is divided by v.
10
What is the remainder when (4 + -2 - 3)/((-6)/762) is divided by 22?
17
Suppose 6*y - 147 = -y. Calculate the remainder when y is divided by ((-2)/(-5))/(2/40).
5
Let l(f) = -4*f**3 - f**2 - f - 1. What is the remainder when l(-3) is divided by 26?
23
Suppose 3*o - 46 = -2*l, -3*o + o = -5*l + 115. Calculate the remainder when l is divided by 9 - -2*(-2)/4.
7
Suppose -8 = -3*d + d. Suppose d*g = 13 + 3. Calculate the remainder when 11 is divided by g.
3
Suppose -4*o + 5*o - 6 = 0. Let b(r) = -2*r - 2. Let g be b(-2). Suppose -g*z + 23 + 9 = 0. What is the remainder when z is divided by o?
4
Suppose 0 = -2*s - 2, u + 2*s = -2 + 1. Let a(i) = -i**3 + i**2 + 3*i + 3. Calculate the remainder when a(-1) is divided by u.
0
Let o = -7 - -18. Calculate the remainder when 39 is divided by o.
6
Calculate the remainder when 2/(-6) + 568/12 is divided by 12.
11
Suppose 0 = -3*q - 3*d + 51, -64 - 2 = -4*q - 5*d. Suppose 2*j - 107 = u, -j - 2*u - 269 = -6*j. What is the remainder when j is divided by q?
17
Let f = 39 - 21. Let y(o) = -3*o + 46. What is the remainder when f is divided by y(13)?
4
Suppose 23 = z + 5*k - 1, -3*z + 44 = k. Let r = z + -6. Calculate the remainder when 21 is divided by r.
5
Let j(r) = -r**3 + 8*r**2 - 5*r - 4. Let f be 3/(-2) - 2/(-4). Let d = 8 + f. What is the remainder when j(d) is divided by 6?
4
Let h be 0/6*(-1 + 0). Suppose h = 2*a - 4*w - 32, w = -0*a - 4*a + 28. What is the remainder when 31 is divided by a?
7
Suppose 3*y - 23 = 31. Let h = 5 + y. Calculate the remainder when h is divided by 8.
7
Suppose 53 = i - 0*i. What is the remainder when i is divided by 27?
26
Suppose 0*z = -4*z + 48. Let p(i) = 4*i**2 - 4*i - 2. Let g be p(-3). Suppose -g = -3*s + 20. What is the remainder when s is divided by z?
10
Let f be (-1)/(-2*(-3)/(-42)). Suppose -2*z + f = -3. What is the remainder when (-63)/(-5) - (-2)/5 is divided by z?
3
Let m(t) = 2*t**2 - 3*t - 4. What is the remainder when m(6) is divided by 18?
14
What is the remainder when 103/2 - 2/4 is divided by 26?
25
Let s(r) = -r**2 + 3*r + 1. Let j(m) = -m + 1. Let w(c) = -3*j(c) - s(c). What is the remainder when 47 is divided by w(-4)?
11
Let p = 321 - 194. What is the remainder when p is divided by 16?
15
What is the remainder when (-4)/26 - (-1 - (-3321)/(-39)) is divided by 22?
20
Suppose -2*d - 200 = 2*d. Let x = d + 100. What is the remainder when x is divided by 26?
24
Suppose -2*s - 37 = -4*t + s, 0 = 5*s + 15. Calculate the remainder when 13 is divided by t.
6
Let j(u) = u**2 + 6*u + 43. Calculate the remainder when j(-10) is divided by 22.
17
Let j(k) = -k**2 - 3*k**2 + 3*k + 0*k + 2*k**3 + 3. Let i be j(3). Suppose -4*s + i = -26. What is the remainder when 26 is divided by s?
12
Let l = -30 + 57. Let g = 3 + 12. What is the remainder when l is divided by g?
12
Suppose -11*q = -9*q - 220. Calculate the remainder when 49 is divided by q/8 - (-15)/(-20).
10
Suppose -3*w + 72 = -75. What is the remainder when w is divided by 17?
15
Let s be (-2)/(-1)*6/4. Let z = 2 + -5. Calculate the remainder when s*1/(z/(-2)) is divided by 2.
0
Calculate the remainder when ((-72)/(-28))/(1/7) is divided by 4.
2
Calculate the remainder when (2/7)/1 + (-1384)/(-56) is divided by 13.
12
Let b = 7 + -7. Suppose b = -3*x + 56 + 79. Calculate the remainder when x is divided by 16.
13
What is the remainder when 31 is divided by -11*(2 + 1)/(-3)?
9
Suppose -12 = -5*r + 4*a, -5*r + 5 - 2 = -a. Suppose 3*z - 3*h - 3 - 12 = 0, 5*h + 25 = r. Let k(f) = f + 16. What is the remainder when 31 is divided by k(z)?
15
Suppose -f + 7*f = 612. What is the remainder when f is divided by 26?
24
What is the remainder when 182 is divided by (-37)/8*2*-4?
34
Suppose -235 = -7*q + 24. What is the remainder when q is divided by 14?
9
Let t = 138 - 114. What is the remainder when 92 is divided by t?
20
Let w = -18 - -18. Suppose 4*r + r - 5 = w, -x - 4*r + 21 = 0. Calculate the remainder when 65 is divided by x.
14
What is the remainder when (655/15)/((-1)/(-3)) is divided by 33?
32
Suppose -32*z = -28*z - 76. Calculate the remainder when 74 is divided by z.
17
What is the remainder when 14 is divided by 3 + (3 + -6 - -1) + 7?
6
Suppose 0 = 4*j + 3*m - 2*m - 9, 2*j = -3*m - 3. Calculate the remainder when 26 is divided by -7*((-6)/(-3) - j).
5
Let s = -12 + 27. Let b = -7 + s. Calculate the remainder when 15 is divided by b.
7
Suppose -4*g + 36 = -0*g. Calculate the remainder when 26 is divided by g.
8
Let h(y) = 9*y**2. What is the remainder when 1/(2 - 124/64) is divided by h(1)?
7
Let i be (-2 - -1*18)*1. Suppose z + 5 = i. Suppose 0 = -5*b - 25 + 125. What is the remainder when b is divided by z?
9
Suppose -16 = 2*v + o, -3*v + 4*v - o + 5 = 0. Let f = v + 5. Calculate the remainder when 32 is divided by ((-3)/f - 1)*22.
10
Let y = 30 - 54. Let b = 40 + y. Suppose -u - 184 + 61 = -4*k, -3*u - 9 = 0. What is the remainder when k is divided by b?
14
Suppose v + 4*v - 10 = 0. Let b = v - -5. Calculate the remainder when 34 is divided by b.
6
What is the remainder when 44 is divided by ((-240)/50)/((-6)/20)?
12
Suppose -141 = 3*t - 6. Let o be 4/2*(-1)/2*31. Let m = o - t. What is the remainder when 40 is divided by m?
12
Suppose 3*w + 1 - 17 = -x, x + 8 = 5*w. Suppose x + 13 = 4*r. Suppose 0 - 5 = -r*t. What is the remainder when 1 is divided by t?
0
Let k(w) = 5*w - 4. Let b be k(7). Let q = -18 + b. What is the remainder when 24 is divided by q?
11
Suppose -4*y = -6*y + 314. Let v = y - 84. Suppose p = -5*u + 116, 0 = -0*u - 3*u - 4*p + v. Calculate the remainder when u is divided by 8.
7
Let z = -8 - -15. What is the remainder when 20 is divided by z?
6
Let k = 13 + -4. Suppose 17 = 5*t - 18. Suppose 0 = 3*s + t - 22. Calculate the remainder when k is divided by s.
4
Suppose 0 = -3*w + 2*w + 2. Let f be -15*w/12*-4. Suppose 3*g - 13 = -k, 2*k + 4*g - 18 = f. What is the remainder when k is divided by 9?
7
Calculate the remainder when 124 is divided by (-3)/12 + (-505)/(-20).
24
Suppose -4*z = z. Let s = 12 - z. Calculate the remainder when 23 is divided by s.
11
Let s(w) = 2*w**2 + w - 1. Calculate the remainder when 8 is divided by s(-2).
3
Let y(g) = -21*g**3 + 2*g**2 + g - 1. Let t be y(-2). Let z = t + -112. Calculate the remainder when z is divided by 16.
13
Suppose 2*x - x - 42 = 2*r, -3*x + 106 = 4*r. What is the remainder when x is divided by 10?
8
Suppose -3*k + 12 = x - 5, k - 2*x + 6 = 0. Suppose -3*o - 5*s + 34 = -2*o, o + s = 14. Suppose k*d - o = d. What is the remainder when 5 is divided by d?
2
Suppose -4*z - 108 = -4*b, 0 = 2*z + 3*b + b + 54. Let r be 2/(-7) + (-117)/7. Let y = r - z. Calculate the remainder when 18 is divided by y.
8
Let f(u) = -10*u - 14. Calculate the remainder when f(-4) is divided by 16.
10
Let m(d) = d**2 + 13*d + 9. Suppose 0 = -4*c - c - 65. What is the remainder when 17 is divided by m(c)?
8
Suppose -4*t - n + 58 = 0, -3*t - n + 32 + 11 = 0. Suppose 5*x + 5 = 20, -3 = -5*j + 4*x. What is the remainder when (-18 + -4)*(1 - j) is divided by t?
14
Suppose -72 = -5*k - 4*c, -5*k - | {
"pile_set_name": "DM Mathematics"
} |
*u**2 + 2*u**2).
1071*u**4
Expand (7*w**2 - 585*w + 585*w - 3)*(2 + 9 + 0).
77*w**2 - 33
Expand (-2*p + 3*p - 2*p)*((185*p + 1213*p + 475*p)*(-2*p + 2 - 2) + (2 - 2 - p)*(p - 2*p - 2*p)).
3743*p**3
Expand (15 - 6*t**3 - 1 - 18 + (3 + t**3 - 3)*(-3 - 1 + 5) - 2*t**3 + 0*t + 0*t + (4*t - 5*t + 2*t)*(-37 + 37 + 26*t**2))*(0*t + 4*t - 2*t).
38*t**4 - 8*t
Expand (-78*d + 44 + 36 - 70*d - 82)*(-6 + 3 + 0).
444*d + 6
Expand (2 + 2 - 7)*(351 - 5*o - 351)*(-25*o**2 + 4*o - 6*o + 21*o**2)*(-3 + 4 + 1)*(o**2 + 1 - 1).
-120*o**5 - 60*o**4
Expand (5*j - j + 0*j)*(145*j**3 - 1 - 287*j**3 + 126*j**3).
-64*j**4 - 4*j
Expand (2 + 3 - 3)*(-24 + 11 + 3 + 23529*g - 4 + 14).
47058*g
Expand (254*s**2 - 7*s**3 - 254*s**2)*(5*s - 2*s**2 + 3*s - 2 - 5*s) + (10 - 3 + 3)*(1 + 2*s**5 - 1).
34*s**5 - 21*s**4 + 14*s**3
Expand (3 + 3 - 5 + (4 - 2 - 1)*(-1 + 2 + 1) + 2 - 3 + 2)*(79 - 79 + 7*y)*(-6*y - 1 + 1) + 12*y**2 + 0*y**2 - 6*y**2.
-162*y**2
Expand 221576*o**3 - 221576*o**3 - 157*o**5 + (3 - 3 + o)*(2*o**3 + 2*o**4 - 2*o**3) - 3 + 3 - o**5.
-156*o**5
Expand (145*c - 581*c - 514*c)*(-3 - 2*c**2 + 3).
1900*c**3
Expand 3*s**3 + 125*s**3 + 41*s**3 + (-3*s + s - 2*s)*(3*s**2 - 3*s**2 - s**2) + 1 - 1 - s**3 + (-6*s**3 + 3*s**3 + s**3)*(-1 + 1 + 1).
170*s**3
Expand (-15 - 81 + 15)*(18 - 18 - 2*y)*(-3 + 1 + 0) + (0*y + y - 2*y)*(0 + 1 - 4).
-321*y
Expand -11 + 5*p + 11 + p + 0*p - 2*p + 2*p - 4*p + 0*p + (2 - 1 + 0)*(-p + p - 2*p) + 0*p + 0*p - 2*p + (2*p + 5*p - 5*p)*(-2 + 3 + 0) - 23*p - 27*p + 17*p.
-33*p
Expand (3*f**4 - f**4 + 3*f**4)*(39 - 10 + 12).
205*f**4
Expand (20 - 61 + 27)*(-12*d + 12*d + 3*d**2)*(-6*d**2 + 2*d**2 - 2*d**2).
252*d**4
Expand (-22*l - 65*l - 295*l)*(-21 - 12 + 2) - 5*l + 2*l + 5*l.
11844*l
Expand (0*f**2 + 245817 + 3149*f**3 - 245817 + 0*f**2)*(7*f - f + 12 - 11).
18894*f**4 + 3149*f**3
Expand (-2 + 2 + 2)*(-3*j + 6*j - 2*j + (-1 + 1 - 2)*(-j + 0*j + 3*j)) + (1 - 5 - 13)*(5*j - 5*j + j).
-23*j
Expand (-2079*o + 78 + 6887*o + 3141*o - 78)*(-5*o**2 + 3*o**2 + 3*o**2).
7949*o**3
Expand (4 - 1028*m - 1033*m + 2070*m)*(0 - 4 + 1).
-27*m - 12
Expand -18481*w**2 + 9244*w**2 + 9442*w**2 - 6 + (2*w - 4*w + 5 - 2)*(-5 + 5 - w).
207*w**2 - 3*w - 6
Expand (6*b**3 + 5*b**3 - 3*b**3)*(-b + 1 - 1) + 407*b**2 - 407*b**2 - 3*b**4.
-11*b**4
Expand (-4 + 1 + 4)*(14 + 12*t - 14) + 6*t + 17*t - 55*t.
-20*t
Expand (1 - 1 + 184*l + 344*l - 67*l)*(-22*l**3 - l**3 + 5*l**3).
-8298*l**4
Expand (-119*u**5 - 4316*u**4 + 4316*u**4)*(12 + 8 + 18) + 2*u**5 - u**5 - 3*u**5.
-4524*u**5
Expand (3 + 5 - 2)*(-5*w + w + 6*w) + 1 - 1 - w + (-10 + 1 + 6)*(5*w - 4*w - 6*w).
26*w
Expand (-4*j**2 + 2*j**2 + 6*j**2)*(-1 + 0 + 3)*(4 - 6 + 6)*(-7*j**2 + 3*j**2 - 5*j**2).
-288*j**4
Expand (51*q + 208 - 208)*(-10 - 16 - 41 + 15).
-2652*q
Expand (-2*i**2 + 2*i**2 + i**4)*(9169 - 24210 + 2649 - 17773 - 25446 - 4309).
-59920*i**4
Expand (((1 + 1 + 0)*(-5 + 2 + 18) + 0 - 3 + 4)*(-1 + 2 - 2) - 5 + 8 + 2)*(9*a**2 + 7*a**4 - 9*a**2).
-182*a**4
Expand (4248 + 3761 + 1409 + 1698 - 565 + 3 - 4 - 1 - 2 + 2 - 2 + (-4 + 2 + 1)*(0 + 4 - 3))*(-1 + 2*k + 1).
21092*k
Expand (6 + 0 - 4)*(1163899 - 1163899 + 2149*v).
4298*v
Expand (2 - 1 + 0)*(-247*c - 244*c + 489*c - 1655).
-2*c - 1655
Expand (3 + 5*x**4 - 3)*(-3 + 0 + 5 + (-1 - 1 + 3)*(-3 + 4 - 2) + (4 + 1 - 4)*(-9 + 5 - 9)).
-60*x**4
Expand (-15*u**2 - 2*u + 7*u - 6*u)*(-2*u**2 + u**2 + 4*u**2) + 6*u**2 + 2*u**4 + 2*u**4 - u**4.
-42*u**4 - 3*u**3 + 6*u**2
Expand (6*y**2 - y**2 - 3*y**2)*(-22 + 22 + 3*y) - 2*y**3 + y**3 + 66*y**3 + 0*y**2 - y**3 + 0*y**2.
70*y**3
Expand -2*j + 4*j - j + (2 + 2 - 3)*(j - j + 2*j) + (12 + 4 - 1)*(-286 + 93 - 153)*(j + 2 + 0*j + 0).
-5187*j - 10380
Expand (-51 + 20 - 18*n**2 + 29)*(-20 + 20 - 123*n**2).
2214*n**4 + 246*n**2
Expand (18*j + 214*j - 100*j)*(1 - 1 - 2*j**2 + (-3 + 1 + 3)*(5*j**2 - 2*j**2 - 2*j**2) - 6*j**2 - 8*j**2 - 5*j**2).
-2640*j**3
Expand (2*w - 45 - w + 40)*(1 - 2 - 2)*(4 + 3 + 29).
-108*w + 540
Expand (25*w**3 - 174*w**2 + 174*w**2)*(-3*w - 5*w + 6*w + 29).
-50*w**4 + 725*w**3
Expand (3 + 0 - 4)*(-p**4 - 4 + 4) + 12*p**4 - 37*p**4 + 11*p**4 - 3*p**4 + 0*p**4 + 2*p**4 - 52*p**2 + 15*p**4 + 52*p**2.
p**4
Expand (12*b**2 + 91 - 91)*(60 + 74 - 19) + 3*b**2 + 2*b - 2*b + 5 + b**2 - 5 + (2*b - 2 + 5*b - 5*b)*(-2*b - 2*b + 5*b).
1386*b**2 - 2*b
Expand (2*f**3 + f**3 - f**3)*(0*f + 2*f + 34*f) + 4 - 2*f**4 - 4 + (-5*f**2 - 2*f**2 + 3*f**2)*(-f**2 - f**2 + 0*f**2) - f**4 - 2*f**4 + f**4.
76*f**4
Expand (4*d - 2*d + 8*d)*(-4*d + 2*d + 0*d + (2*d + 2*d - 2*d)*(3 - 4 - 1))*(0 - 5 + 2)*(25 + 49 - 9).
11700*d**2
Expand (-10*l + 10*l - 7*l)*(-5*l + l + 2*l) - 2 - 2*l**2 + 2 + (3*l - l**2 - 3*l)*(4 - 4 - 2) + (-l - 3*l + 5*l)*(2*l + 2*l - l) - l**2 - 3*l**2 + 5*l**2.
18*l**2
Expand (-6 - 14 - 20)*(1 - 4 - 9 - 8)*(-4*y - 4 + 4).
-3200*y
Expand (1 - 1 + 2*p**3)*(-3 + 3 + 2*p) - 2*p**4 + 3*p**4 + p**4 + 270*p**4 + 220*p**4 - 926*p**4 - 851*p**4.
-1281*p**4
Expand -5 + 5 - 3*i**2 - 3*i**2 + 3*i**2 - 2*i**2 + (-4*i**2 - i**2 + 4*i**2)*(-1 + 2 + 0) + 3*i**2 - 4*i**2 - 2*i + 4*i + 14 - 9*i**2 - 14.
-16*i**2 + 2*i
Expand (-s**3 - 2*s**4 + s**3)*(2*s + 0*s - 4*s) + 586*s**5 + 584*s**5 - 1171*s**5 - s**3 - 4 - 9*s**5 + 12*s**5 + s**5.
7*s**5 - s**3 - 4
Expand -163*d**5 - 464*d**5 - 206*d**5 + (2*d**3 - 3*d**3 - d**3)*(-d**2 + 2*d - 2*d) - 4*d**4 + 2*d**5 + 4*d**4 + 2*d**5 + 2*d**5 - 2*d**5.
-827*d**5
Expand (2 - 2 + m)*(-3*m - m + m) + 2*m**2 + 4 - 4 - 368 + 715*m**2 + 368.
714*m**2
Expand (-496*r - 292*r + 3*r - 548*r - 340*r + 30*r)*(-27*r + 32*r**2 + 27*r).
-52576*r**3
Expand (2*q - 3*q + 2*q)*(-4*q**3 - q**3 + 3*q**3) + 0*q**2 + 0*q**2 - q**4 + 57*q**4 - 17*q**4 + 54*q**4 - 3*q**4 + 3*q - 3*q.
88*q**4
Expand (2 - 2 - t)*(-305*t**2 + 143212*t - 143212*t) + (t**2 - 2*t**2 + 0*t**2)*(-2*t + t + 2*t) + t - t - t**3.
303*t**3
Expand ((4 + 5*l - 4)*(l - 5*l + l) + 0*l**2 - l**2 + 0*l**2 + (-l + l + l)*(l - 4 + 4))*(1 + 2 - 4).
15*l**2
Expand -2*p**3 + p**3 + 0*p**3 + (-3*p**2 + 6*p**2 - p**2)*(2703*p + 1538804 - 1538804).
5405*p**3
Expand ((-83*h**2 + 41*h**2 - 159*h**2)*(0 + 0 + 2 - 2*h) + (3*h**2 - 3*h**2 - 2*h**2)*(9*h - h - 2*h))*(0 - h + 0).
-390*h**4 + 402*h**3
Expand (-733 - 505 + 286)*(4*y - 2*y - 3*y)*((0*y**4 + y**4 - 2*y**4)*(1 - 6 + 3) - 4*y**4 - 2*y**4 + 3*y**4).
-952*y**5
Expand (-133*u - 76 - 71 - 237*u + 147)*(-3 + 1 - 4*u + u).
1110*u**2 + 740*u
Expand ((0*g + 2*g - g)*(-1 - 1 + 0) + g + 3*g - g)*(17*g - 5*g - 10*g + (0*g - 2*g + 5*g)*(-2 + 0 + 1)).
-g**2
Expand (-2223 + 360*t + 2223)*(0 + 2*t + 0)*(8 + 15 + 18).
29520*t**2
Expand -5*r**2 + 0*r**2 + 3*r**2 + (3 - 2*r - 3)*(-2*r - 2*r + 0*r) + 69510 - 2798*r**2 - 69510.
-2792*r**2
Expand (-33 + 4 - 2 + (6 - 3 - 4)*(2 + 1 - 2) - 3 - 5 + 1)*((0*s**2 - s**2 + 4*s**2)*(-2*s**2 - s**2 + s**2) - 5*s**4 + 0*s**4 + 4*s**4).
273*s**4
Expand (54 - 38 - 201)*(7 + 2*t - 6 + 0*t - 3*t**2).
555*t**2 - 370*t - 185
Expand (2941 - 5890 + 1190)*(s**2 - 1 + 1)*(3*s - 6*s + 2*s).
1759*s**3
Expand (-100 - 32 + 70)*(-z + 1 - 1)*(-2 - 2 + 1).
-186*z
Expand (d + 3*d - 3*d + 2*d - 6*d + 5*d + (0*d - d + 3*d)*(-1 + 0 + 3) - 2*d + 4*d - 4*d + 2 + d - 2 + (3*d - 2*d + d)*(-1 - 2 + 2))*(2 - 3 - 1).
-6*d
Expand (38*z**2 + 1 + 30*z**2 - 67*z**2)*(-2 + 5 - 2).
z**2 + 1
Expand (-3*n + 3*n - 2*n**5)*(1 + 3 - 2) - 6 - 7 + 16 - 5*n**5 - 43*n + 49*n**5 + 43*n.
40*n**5 + 3
Expand -138*r + 104*r - 168*r - r - 3*r + 2*r + (-5 + 2 + 1)*(2*r + 0*r - r) + (2*r - 18*r + 4*r)*(0 + 4 - 3).
-218*r
Expand (-2*k**2 - 3 + 3)*(0*k - 3*k + 2*k) + (-1 + 1 + 2)*(k**2 - k**2 + k**3) + 107*k**3 + 183*k**3 - 91*k**3.
203*k**3
Expand -m - 3*m**2 + m + (3*m + 3*m - 4*m)*(-1 + m + 1) + 4*m**2 + 33*m**2 + 81*m**2.
117*m**2
Expand (-48*f**2 - 35*f**2 + 63*f**2)*(-2 + 4*f + 17*f + 10*f).
-620*f**3 + 40*f**2
Expand (-2 + 259*j + 1519*j - 210*j)*(2*j + 1 - 1).
3136*j**2 - 4*j
Expand ((1 - 2 + 0)*(2 - 1 + 0) + (23 + 2 - 4)*(1 - 2 + 2))*(0*o + 2*o + 0*o)*(-2 - 1 + 4 + (0 + 0 - 2)*(5 - 4 - 3) - 1 + 0 + 0 - 4 + 4 - 5).
-40*o
Expand (-19 + 28 + 0*i + i)*(-40 + 13 - 83)*(1 - 1 - 2).
220*i + 1980
Expand (0*o - 4*o + 3*o)*((0 - o + 0)*(-o + 0*o + 0*o) + 2*o**2 + 4*o**2 - 4*o**2)*(-3477 - 1153 - 293 + (-2 - 4 + 4)*(2 - 1 + 1)).
14781*o**3
Expand -332*n + 332*n + 188*n**5 + (-n**2 - n**2 + n**2)*(n - n - 3*n**3) - 8*n - 7*n**5 + 8*n.
184*n**5
| {
"pile_set_name": "DM Mathematics"
} |
*j = 7*j - 117. What is the remainder when t is divided by j?
36
Let z be (31/(-4))/1*-8. Let u(y) = 6*y - 82. Let v be u(14). Suppose -4*l + z = 2*b, -5 = -2*b + v*l + 27. Calculate the remainder when b is divided by 13.
8
Suppose 76*y = -117*y + 62532. Calculate the remainder when y is divided by 50.
24
Let y be ((-188)/(-16) + 1)*40/30. Let a(x) = 19*x - 45. What is the remainder when a(y) is divided by 8?
6
Calculate the remainder when 237272/836 - 4/(-22) is divided by 14.
4
Suppose 5*b - z - 71 = 17, 62 = 4*b + 2*z. Suppose -6*q - 5 = -b. Suppose 4*t + q*t - 48 = 0. What is the remainder when 23 is divided by t?
7
Let p be -2*(140/8 - -3). Let y = p - -61. Let m(a) = 2*a**3 - 3*a**2 - 7*a + 6. What is the remainder when m(4) is divided by y?
18
Suppose -x = 3*x + b - 1673, -3*x - 4*b = -1258. What is the remainder when x is divided by 21?
19
Let r(b) = b**3 - 3*b**2 + 13. Suppose i + 11 = 6*i - v, -13 = -5*i + 3*v. Calculate the remainder when r(i) is divided by 3.
0
Let a = -5499 - -5572. What is the remainder when 1968 is divided by a?
70
Let v(g) = -11*g + 11. Let c be v(1). Let w(z) = 9*z**2 - 2*z + 13. Calculate the remainder when 244 is divided by w(c).
10
Suppose 5*n + 7 = 3*i, -i - 2*n = n - 7. Let p = 277 - i. Calculate the remainder when p is divided by 25.
23
Suppose 3 = -4*y + 15. Suppose 149*i - 156*i + 133 = 0. Calculate the remainder when i is divided by 9 - (y - (2 - 0)).
3
Suppose -3*f = -5*b + 120, -5*b + 5*f + 130 = 10. Calculate the remainder when 18910 is divided by b.
22
Let q = 120 - 74. What is the remainder when q is divided by 12*(-5)/(-30) - (-20 - (0 + 7))?
17
Let m(z) = -z**3 + 61*z**2 + 126*z + 104. Calculate the remainder when m(63) is divided by 97.
7
Let b(q) = 4*q**2 - 92*q + 372. What is the remainder when 323 is divided by b(4)?
51
What is the remainder when 120 is divided by -2 + -1 + 35 + 16/(-16)?
27
Let c = -11 - -12. Suppose o + 3*d - 11 = -c, 3*d + 15 = 0. Calculate the remainder when ((-98)/(-3))/(14/21) is divided by o.
24
What is the remainder when (-46)/3*3/(-2) is divided by (30/420*28)/((-1)/(-3))?
5
What is the remainder when (-607)/3*(-86)/((-688)/(-24)) is divided by 279?
49
Suppose -k - 4*u + 1 = 0, 3*k + 113*u = 120*u + 155. What is the remainder when 4118/18 + 4/18 is divided by k?
31
Suppose 230 = m + 4*i, m - 4*i - 72 = 190. What is the remainder when m is divided by 38?
18
Suppose 3*w - 2*a = 1179, -10*a + 1965 = 5*w - 15*a. What is the remainder when w is divided by 22?
19
Let v(k) = 16*k + 271. Let s be v(-17). What is the remainder when 671 is divided by 38 - s - (-10)/(30/9)?
41
Let z = -4 + 10. Let m(i) = i**3 + 13*i**2 - 68*i - 415. Calculate the remainder when m(7) is divided by z.
5
Suppose -13 = 5*b + 32. Suppose 3*g = -5*o - 129, -104 = 4*o - 0*g + 2*g. Let k = b - o. Calculate the remainder when k is divided by 12.
6
Suppose 389*a - 385*a = 128. Calculate the remainder when 397 is divided by a.
13
Let r(d) = -9 - 8 - d**2 - 11 + 14*d. Let v = -24 - -71. What is the remainder when v is divided by r(9)?
13
Let c = -13 + 19. Let d(p) = 3*p**3 + 39*p**2 + 10*p - 55. What is the remainder when d(-12) is divided by (c/(-4))/(6/(-148))?
35
Let t(c) = -2*c**3 - 30*c**2 + 109*c + 39. What is the remainder when 10792 is divided by t(-18)?
19
Let a(o) be the second derivative of o**4/12 + 7*o**3/2 + 13*o**2 - o. What is the remainder when 99 is divided by a(-21)?
21
Let f(x) = 54*x**2 + 3*x + 2. Let k(b) = -1118*b + 4491. What is the remainder when f(-4) is divided by k(4)?
18
Let v(h) = -1543*h - 7666. Calculate the remainder when 277 is divided by v(-5).
32
Suppose x - 17 - 7 = 2. Calculate the remainder when 1052 is divided by x.
12
Let v be (-17)/8 - 4/(-32). What is the remainder when 89 is divided by v/12 + 10659/342?
27
Let x(p) = -3*p + 11. Let k be x(3). Suppose -r + 19 = g - 3*r, 3*g - 73 = k*r. Let y(o) = o**2 + 1. Calculate the remainder when y(8) is divided by g.
11
Let s(d) = 5*d**2 + 58*d + 740. Calculate the remainder when s(-11) is divided by 17.
10
Let s = -1501 + 1496. Let a(b) = -3 + 1 + 0*b - 2*b - 6*b. What is the remainder when 113 is divided by a(s)?
37
Let n(o) = -5*o**3 - 10*o**2 - 3*o. Suppose 3*k - 4 = -2*b, -3*k = -2*b - 6 - 14. Let p be n(b). What is the remainder when p/(-10)*50/(-20) is divided by 23?
20
What is the remainder when 29437 is divided by ((-11)/(264/16))/(4/(-102)) + -1?
13
Suppose 0 = -5*v - 5*n - 164 + 1029, -v + 187 = 3*n. Calculate the remainder when v is divided by 22.
12
Let c(l) = 20*l + 1136. What is the remainder when 833 is divided by c(-43)?
5
Let q(p) = -p**2 - p + 64. Suppose 4*k - 2*h + 7 = 19, 8 = -2*h. What is the remainder when q(0) is divided by (k/5)/((-19)/(-1615))?
13
Let b(w) = w**3 - 56*w**2 - 304*w + 5. What is the remainder when 742 is divided by b(61)?
16
Let i be 454/2 - (74 - 69). Suppose 427 + i = 11*l. What is the remainder when l is divided by 5?
4
Suppose 21*q - 168 = 24*q. Let n(k) = -13*k**2 + 5*k - 4. Let z be n(2). Let j = z - q. Calculate the remainder when 36 is divided by j.
6
Let h = 293 + -283. Suppose l + 37 - 4 = 4*m, -5*l = -m - 6. Suppose 0*i + 333 = m*i. Calculate the remainder when i is divided by h.
7
Calculate the remainder when 405 is divided by (-51)/4*49/((-1911)/208).
65
Suppose c - 18 = 2*c. Let l = 245 - 296. Let o = c - l. Calculate the remainder when 98 is divided by o.
32
Suppose 0 = 11*u - 217 - 410. Let n = u + -30. Suppose -n*b + 20*b + 77 = 0. Calculate the remainder when 18 is divided by b.
7
Suppose 0 = -5*t - b + 117, -5*t = 3*b - 140 + 29. Let d = 46970 - 46755. What is the remainder when d is divided by t?
23
Suppose 0 = -3*s - g - 130, 21*s - 214 = 26*s + g. Let z(d) = d**2 + 3*d + 3. Let o be z(-2). Calculate the remainder when 46 is divided by (o/2 + 0)/((-3)/s).
4
Let o = 6 - -25. Let i(j) = j + 23. Let b be i(-29). Calculate the remainder when o is divided by (-21*6/(-27))/(b/(-18)).
3
What is the remainder when -4 + (-26)/(-3) + -4 - 31369/(-39) is divided by 200?
5
Let l be -83 - (2 + -10 + 5). Let n = l + 101. What is the remainder when n is divided by 6?
3
Let s = 2122 - 2112. What is the remainder when 899 is divided by s?
9
Let t(g) = -78*g - 124. Calculate the remainder when t(-2) is divided by 10.
2
Suppose 10*b - 1113 - 5467 = 0. Calculate the remainder when b is divided by 35.
28
Suppose -6*s = 223 + 89. Let h = 55 + s. Suppose -t + 16 = h*u, -t + 21 = -5*u + 5. What is the remainder when t is divided by 11?
5
Suppose -y - i + 45 = 0, -2*y + 44 = -5*i - 18. Let c = 291 - 280. Calculate the remainder when y is divided by c.
8
Let p = 1589 + -1025. Suppose -56*r + p = -50*r. Calculate the remainder when 366 is divided by r.
84
Let h = 945 + -799. What is the remainder when h is divided by 2/(-8)*1 + 6800/320?
20
Suppose -6 - 4 = 5*v. Let a = -5 - -14. What is the remainder when a is divided by 0 - (-10)/(v/(-1))?
4
Let u be (-1)/((-2)/(-1) + 15/(-6)). Let t be 3/9 - u/6. Suppose -c + t*c + 51 = 0. What is the remainder when 303 is divided by c?
48
Let r(v) = -v**2 + 22*v - 20. Let n be r(13). Suppose 4*q = 83 + n. Suppose 30 = 3*j - 18. Calculate the remainder when q is divided by j.
13
Let t(i) = 9*i**2 - 11*i + 21. Suppose -5*g - 3*y - 91 = 0, -2*g + 4*g + 26 = 4*y. Let z = 1 - g. What is the remainder when t(3) is divided by z?
15
What is the remainder when 272 is divided by 316247/5463 - (-2)/36*2?
40
Suppose 9*p - 193 - 289 = 265. What is the remainder when 1155 is divided by p?
76
Let o = -169 + 177. Suppose -4*y - z + 7 + o = 0, 4*z - 9 = y. What is the remainder when 63 is divided by y?
0
Let r(b) = -636*b**3 + b**2 + 2*b. Let k be 3/(-9) + 2/(-3). What is the remainder when r(k) is divided by 13?
11
Let y(i) = 2*i + 15. Let g be y(-6). Let t = 66 - g. Let k = 125 - 108. Calculate the remainder when t is divided by k.
12
Suppose 298*j - 4457 = 297*j - 2*k, -3*k + 13365 = 3*j. Calculate the remainder when j is divided by 212.
1
Let x be 4/(56/(-35))*(-3 - -1). Suppose x*h = 4*h + 2*d + 125, -3*h + 384 = -3*d. Calculate the remainder when h is divided by 19.
17
Let m(t) = -t**3 + 21*t**2 + 12*t - 26. Let d be m(22). Let y = d - -484. What is the remainder when y is divided by 35?
28
Suppose -546 = -176*l + 163*l. Suppose -3*a + 12 = t, -2*a - 94 = | {
"pile_set_name": "DM Mathematics"
} |
2, 7
Suppose -2*n - n = -z + 8, -2*n - 17 = -3*z. Let k(h) = z + h - 5 + 1 + 4. What are the prime factors of k(8)?
13
Let l(h) = h**3 + 7*h**2 + 5*h + 4. Let p be l(-6). Suppose -f - p = -5. What are the prime factors of 16/(-10)*f*1?
2
Let m(x) = -9*x**2 + 2. Let b be m(-2). Let r = -25 - b. What are the prime factors of r?
3
Suppose -2*c = -5*j - 54, 0 = -0*j + 2*j - 8. List the prime factors of c.
37
Suppose -6*p + 2118 = -0*p. List the prime factors of p.
353
Suppose -a = -g + 60, -2*g + 305 = -5*a + 2*g. Let p = a + 97. What are the prime factors of p?
2
Let y be (6/1)/(21/(-28)). Suppose 4*m + 60 = -m. What are the prime factors of (-70)/y - 3/m?
3
Let i be 1 - 1 - (1 - 54). Let z = -33 + i. Suppose 2*r - 10 = z. List the prime factors of r.
3, 5
Suppose 4*l - 36 = 2*w, 0 = 4*l + 4*w + 3 - 27. List the prime factors of l.
2
Let o = 6 - -14. List the prime factors of o.
2, 5
Let s(c) = c**3 + 13*c**2 - 5*c - 4. What are the prime factors of s(-13)?
61
Let w be 5 + 0/(-3 + 5). List the prime factors of w - 0/(3 - 2).
5
Suppose 4*c + i = -2*i + 134, 2*c + 5*i = 74. Suppose 10 = 2*b + c. List the prime factors of -3 + 2 - (b - -3).
7
Let s(x) = -3*x - 3. Let l be s(4). Let r = -10 - l. Suppose g - 4*m + 24 = r*g, -4*g - 5*m + 28 = 0. List the prime factors of g.
2
Suppose -3*m = 4*r - 8*m + 421, m = -2*r - 207. Let y = -68 - r. List the prime factors of y.
2, 3
Suppose 0 = 5*q + 1 + 24. Let m(l) = l**3 + 4*l**2 - 6*l - 5. Let d be m(q). Let c = d - -6. List the prime factors of c.
2, 3
Suppose l - 46 = -12. What are the prime factors of l?
2, 17
Let y = 7 + -4. Suppose -y*c + 2*c + 4 = 0. Suppose -4*n = c*s - 4, -2*s + 2*n + 8 = -6. What are the prime factors of s?
2
Let i = -695 + 1010. List the prime factors of i.
3, 5, 7
Suppose 3*f - 1 = 5. Suppose -n + 230 = f*n - x, 5*n + 2*x - 398 = 0. What are the prime factors of n/18 + (-4)/(-6)?
5
Let a(z) = z + 7. Let q = -7 + 12. Let g be a(q). Let v = g - 6. What are the prime factors of v?
2, 3
List the prime factors of 2/6*(9 - -42).
17
List the prime factors of -28*((-21)/12 + 1).
3, 7
What are the prime factors of (3/(-2))/((-4)/160)?
2, 3, 5
What are the prime factors of (-11 - -9) + 62*1?
2, 3, 5
Let s be (-54)/(-10) + (-6)/15. Suppose 15 = -2*q - 3*q. Let c = s + q. List the prime factors of c.
2
Suppose -103 - 47 = -2*m - 2*c, 4*c - 75 = -m. Suppose s - m = -5*n - 29, 2*s = 2*n - 16. List the prime factors of n.
3
Suppose 6*q - 4 = 4*q. Let d(b) = -2 + 12 - q*b**2 - 12*b + b**2. List the prime factors of d(-12).
2, 5
Let n = -43 + 97. What are the prime factors of n?
2, 3
Suppose -4*n = n - 30. Suppose 2*z + n = 4*z. Suppose -z*q - 45 = -8*q. What are the prime factors of q?
3
Let a = -12 - -78. List the prime factors of a.
2, 3, 11
Let s(l) = l - 1. Let c(q) = -5*q + 8. Let x(a) = c(a) + 6*s(a). List the prime factors of x(3).
5
Let y be (-232)/(-5) + (-9)/(-15). Suppose 0 = -2*g + 2*m + 56, -3*g + y = -g + m. What are the prime factors of g?
5
Let d(n) be the third derivative of n**5/60 - 5*n**4/24 - 2*n**2. Let i(v) = -2*v**2 + 5*v + 1. Let m(s) = -3*d(s) - 2*i(s). List the prime factors of m(-6).
2
Let g(q) = -2*q + 3*q - 2*q + 3 - 3*q. What are the prime factors of g(-4)?
19
Let w(x) = x**2 + 5*x - 3. Let m(t) = t**2 - 4*t - 3. Let h be m(3). List the prime factors of w(h).
3
Suppose 9 = 2*d + o, 0*d - 7 = -2*d + o. Suppose -n + d = 2*x - 9, 17 = 4*n + x. Suppose 0 = -4*h + n*b + 45, 2*h - 59 = -3*h + b. List the prime factors of h.
2, 3
Let i = 1 - -2. Suppose u + i*u = 8. What are the prime factors of -2 + 10/(u + 0)?
3
List the prime factors of ((-72)/(-60))/((-4)/(-10)).
3
Let q be 6*12/(-9) + 0. Let g = 19 + q. Let m = g - 7. List the prime factors of m.
2
Suppose 4*p = p. Let q be ((-2)/6)/(11/(-165)). Suppose -y - 4*m + p = -6, -3*y + m + q = 0. List the prime factors of y.
2
Suppose 2*i + 2*g = 3*g, 0 = -i + 5*g. Suppose l + i*l = 0. Suppose l = -4*n + 4*m + 64, 2*n + 4*m - 27 = -n. What are the prime factors of n?
13
Suppose 5*x = 4*x + 6. Let w = 2 + x. List the prime factors of w.
2
List the prime factors of (-2 + (-20)/(-2))*4.
2
Let k = -4 - -9. Suppose 4*b + k*c - 8 = 0, 2*b = 4*b - 5*c + 26. List the prime factors of 15 - (2 + 1 + b).
3, 5
What are the prime factors of (4 - 1) + 86/2?
2, 23
Let b = 18 + -9. Let r(c) = 0*c - 9*c + c**2 + 12 - c**2 + c**2. What are the prime factors of r(b)?
2, 3
Let z(u) = -u**2 + 5*u + 1. Let d be z(4). Suppose w = d - 3. Suppose -10 = 5*o - 4*h, w*o = -0*o - 3*h + 19. What are the prime factors of o?
2
What are the prime factors of (-878)/(-14) - (-4)/14?
3, 7
Let k(a) = -3*a + 165. List the prime factors of k(0).
3, 5, 11
Let m(z) = z + 5. Let b(p) = p**2 - 5*p - 6. Let y be b(6). Let n be m(y). Let x(j) = j**2 - 2*j - 2. List the prime factors of x(n).
13
Suppose -2*t - g = -5*t + 686, 4*g = 5*t - 1155. What are the prime factors of t?
227
Let k be 82/5 - 14/35. Suppose 4*j = -5*s + 14, s + k = 2*j - s. What are the prime factors of j?
2, 3
Let j(r) = -55*r**3 + r**2 + 2*r + 2. List the prime factors of j(-1).
2, 7
Let w(u) = u - 3*u - u - 10. Let v be w(-7). Suppose 5*q + n - v = 2*n, 3*q - 4*n = -7. List the prime factors of q.
3
Suppose 5*j - 300 = 5*g, -6*j = -4*j - g - 122. What are the prime factors of j?
2, 31
Suppose 3*j + f = 65, 0*j = -3*j + 2*f + 77. Suppose -3*n + j = 2. What are the prime factors of n?
7
Let v(o) = o**3 + o**2 - o**3 - o**3 - o + 2*o**3 + 40. Let w be v(0). Suppose -2*k = 2*k - w. What are the prime factors of k?
2, 5
Let b = 717 - 393. What are the prime factors of b?
2, 3
Suppose 0*p + 40 = 4*p - 5*m, -4*m - 11 = p. Let y be p*(-1 + 2) + -2. Suppose -35 = -2*q - y*q. What are the prime factors of q?
7
Suppose -5*k - c - 4*c = -1380, 20 = 5*c. What are the prime factors of k?
2, 17
Let y(h) = h**2 + 5*h + 4. Let x be y(-6). Let z = x + -4. List the prime factors of (-204)/(-18)*z/4.
17
Let r = 32 + -22. Let k be r*((-3)/(-6) - 0). Suppose -k*w + 2*w + 4*h + 19 = 0, 0 = 5*w - h - 60. What are the prime factors of w?
13
Suppose -2*m - 2*m - 2*s + 18 = 0, 0 = 4*s - 20. Let b(y) = 0*y + 4 + 7*y**2 + 3*y - m*y**2 + y**3. What are the prime factors of b(-4)?
2
Let j = 188 - 87. What are the prime factors of j?
101
Let j be -7 - (-1 + 0)*1. Let y = -6 - j. Suppose -w + 4 + 7 = y. List the prime factors of w.
11
Let g = -142 + 395. What are the prime factors of g?
11, 23
Let k be (-611)/91 - (-2)/(-7). List the prime factors of k - -7 - -32*1.
2
Suppose -3*m + 3 = -3. Let y be 11/(88/(-12))*(-32)/2. Suppose -m*s - 3*w = -y, -3*w = -4*w - 2. List the prime factors of s.
3, 5
Let h(i) = 24*i - 10. What are the prime factors of h(4)?
2, 43
Let g = 7 + -7. Let l be (0/3 + g)/1. What are the prime factors of 15 + (2/1 - l)?
17
Let r be 12/16*(3 - -5). Let a = 1 - 2. Let y = a + r. List the prime factors of y.
5
Let k(x) = 5*x**2 + 1. Suppose -1 = 4*d + 3. List the prime factors of k(d).
2, 3
Let d = 15 - -45. List the prime factors of d.
2, 3, 5
Suppose -4*f - 89 = -37. Let b = -8 - f. List the prime factors of b.
5
Let s be (2*1)/(16/24). Suppose b - 64 = -s*b. What are the prime factors of b?
2
Let p = -3 - -2. Let g be (-1)/(p/(0 + 1)). List the prime factors of 6 + g + -2 - -2.
7
What are the prime factors of 87*(5/(-10))/(3/(-2))?
29
Let f(d) = d**2 - 5*d - 2. Let c be f(5). Let u = c - -13. List the prime factors of u.
11
Let k(y) = y**3 - 5*y**2 + 3*y - 5. List the prime factors of k(6).
7
Let t = 72 - 39. List the prime factors of t.
3, 11
Let q(l) = 3 - 4*l - 4 + 4*l**3 - 3*l**3 + 4 + l**2. What are the prime factors of q(3)?
3
Let s(w) = w - 2. Let j be s(5). Let l = j - -20. Suppose -4*d + 8 = 0, -30 - l = -5*z - 4*d. What are the prime factors of z?
3
Let a be 1*(1 - (2 - 2)). Let g = 8 - a. What are the prime factors of g?
7
Let j = -1 - -3. Let m(f) = 0*f**j + 2*f**2 + 3 + 0*f - 3*f. List the prime factors of m(2).
5
What are the prime factors of (81/2)/((-60)/(-80))?
2, 3
Let i(w) = 2*w**2 + 2*w - 3. Let j be i(-3). Suppose j = 5*b - 1. Suppose 0 = -b*d - 2*z + 7*z - 11, 4*z = 2*d + 8. List the prime factors of d.
2
Suppose 0 = -3*o, 2*v - 340 = -2*v + 2*o. Suppose 0 = 5*w + 25 - v. What are the prime factors of w?
2, 3
Let x = 2 - -118. What are the prime factors of x?
2, 3, 5
Let y = -10 + | {
"pile_set_name": "DM Mathematics"
} |
- 1
What is the r'th term of -11168, -22337, -33504, -44669, -55832?
r**2 - 11172*r + 3
What is the l'th term of 17537, 17528, 17513, 17492, 17465, 17432, 17393?
-3*l**2 + 17540
What is the v'th term of 979, 3959, 8929, 15889, 24839?
995*v**2 - 5*v - 11
What is the p'th term of -37, -108, -239, -454, -777, -1232, -1843, -2634?
-4*p**3 - 6*p**2 - 25*p - 2
What is the u'th term of 56, -127, -670, -1753, -3556, -6259, -10042?
-30*u**3 + 27*u + 59
What is the w'th term of 215, 672, 1351, 2234, 3303, 4540, 5927, 7446?
-3*w**3 + 129*w**2 + 91*w - 2
What is the p'th term of -6907, -6910, -6913, -6916, -6919, -6922?
-3*p - 6904
What is the t'th term of -4399, -4314, -4215, -4096, -3951, -3774, -3559, -3300?
t**3 + t**2 + 75*t - 4476
What is the j'th term of 21012, 42027, 63042?
21015*j - 3
What is the i'th term of 252, 593, 1158, 1947?
112*i**2 + 5*i + 135
What is the c'th term of -1501, -1594, -1833, -2290, -3037?
-12*c**3 - c**2 - 6*c - 1482
What is the u'th term of -767, -1117, -1485, -1877, -2299, -2757, -3257, -3805?
-u**3 - 3*u**2 - 334*u - 429
What is the h'th term of -23029, -46062, -69095, -92128, -115161, -138194?
-23033*h + 4
What is the p'th term of -334, -718, -1102, -1486?
-384*p + 50
What is the o'th term of 128277, 128301, 128325, 128349, 128373?
24*o + 128253
What is the q'th term of 96526, 193050, 289574?
96524*q + 2
What is the c'th term of -2592, -2496, -2388, -2262, -2112, -1932, -1716, -1458?
c**3 + 89*c - 2682
What is the d'th term of -1186, -1855, -2524, -3193, -3862?
-669*d - 517
What is the j'th term of 304, 555, 806, 1057, 1308?
251*j + 53
What is the n'th term of 4869, 9776, 14769, 19890, 25181, 30684?
7*n**3 + n**2 + 4855*n + 6
What is the r'th term of 270, 302, 344, 396, 458?
5*r**2 + 17*r + 248
What is the u'th term of -106347, -212692, -319037, -425382?
-106345*u - 2
What is the z'th term of 165485, 165486, 165487?
z + 165484
What is the z'th term of 1324, 5292, 11902, 21154, 33048, 47584?
1321*z**2 + 5*z - 2
What is the m'th term of -2895, -10578, -23063, -40356, -62463, -89390?
-m**3 - 2395*m**2 - 491*m - 8
What is the a'th term of 3144, 6488, 9832, 13176, 16520, 19864?
3344*a - 200
What is the m'th term of 226534, 453026, 679508, 905974, 1132418?
-m**3 + m**2 + 226496*m + 38
What is the m'th term of 1215, 2413, 3611?
1198*m + 17
What is the d'th term of -659, -1311, -1963?
-652*d - 7
What is the w'th term of -1280, -2518, -3748, -4970, -6184, -7390?
4*w**2 - 1250*w - 34
What is the f'th term of 95833, 95841, 95849, 95857, 95865, 95873?
8*f + 95825
What is the z'th term of -1464, -1433, -1382, -1311, -1220, -1109?
10*z**2 + z - 1475
What is the u'th term of -8488, -8473, -8450, -8413, -8356, -8273, -8158?
u**3 - 2*u**2 + 14*u - 8501
What is the b'th term of -3355, -6721, -10099, -13489, -16891?
-6*b**2 - 3348*b - 1
What is the i'th term of -388, -768, -1160, -1564, -1980?
-6*i**2 - 362*i - 20
What is the y'th term of 68, 276, 632, 1142, 1812, 2648?
y**3 + 68*y**2 - 3*y + 2
What is the o'th term of 3091, 6176, 9257, 12334?
-2*o**2 + 3091*o + 2
What is the r'th term of -402329, -804653, -1206975, -1609295, -2011613, -2413929?
r**2 - 402327*r - 3
What is the t'th term of -2840, -5656, -8470, -11282, -14092, -16900, -19706?
t**2 - 2819*t - 22
What is the l'th term of 259, 592, 949, 1330, 1735, 2164, 2617?
12*l**2 + 297*l - 50
What is the i'th term of 150, 289, 416, 531, 634, 725?
-6*i**2 + 157*i - 1
What is the g'th term of 51, -30, -113, -198, -285, -374?
-g**2 - 78*g + 130
What is the d'th term of 1534, 3104, 4672, 6238, 7802?
-d**2 + 1573*d - 38
What is the l'th term of 16208, 32417, 48626, 64835, 81044?
16209*l - 1
What is the u'th term of 5092, 5644, 6196, 6748?
552*u + 4540
What is the y'th term of 56438, 56488, 56536, 56582, 56626, 56668, 56708?
-y**2 + 53*y + 56386
What is the v'th term of 10312, 20535, 30758, 40981, 51204, 61427?
10223*v + 89
What is the k'th term of 193, 1002, 2355, 4258, 6717, 9738?
k**3 + 266*k**2 + 4*k - 78
What is the r'th term of 86498, 86489, 86472, 86447?
-4*r**2 + 3*r + 86499
What is the c'th term of -33619, -33618, -33617, -33616, -33615, -33614?
c - 33620
What is the p'th term of 4750, 4369, 3988, 3607?
-381*p + 5131
What is the p'th term of -52, -118, -246, -454, -760?
-3*p**3 - 13*p**2 - 6*p - 30
What is the l'th term of 2090, 8608, 19476, 34694, 54262?
2175*l**2 - 7*l - 78
What is the b'th term of 227, 1761, 5895, 13925, 27147, 46857, 74351?
216*b**3 + 4*b**2 + 10*b - 3
What is the k'th term of -9, 329, 891, 1671, 2663, 3861, 5259, 6851?
-k**3 + 118*k**2 - 9*k - 117
What is the q'th term of -5236, -4933, -4630, -4327?
303*q - 5539
What is the h'th term of 2, 41, 86, 137, 194, 257?
3*h**2 + 30*h - 31
What is the s'th term of -4033, -7965, -11897, -15829, -19761, -23693?
-3932*s - 101
What is the z'th term of -28473, -28446, -28411, -28368, -28317, -28258, -28191?
4*z**2 + 15*z - 28492
What is the y'th term of -2313, -18564, -62669, -148554, -290145, -501368, -796149?
-2321*y**3 - y**2 - y + 10
What is the o'th term of -264182, -264174, -264154, -264116, -264054?
o**3 + o - 264184
What is the i'th term of 59, 36, -183, -706, -1641, -3096, -5179, -7998?
-18*i**3 + 10*i**2 + 73*i - 6
What is the q'th term of 80, 484, 1576, 3698, 7192?
57*q**3 + 2*q**2 - q + 22
What is the v'th term of 2309, 4614, 6915, 9212, 11505, 13794, 16079?
-2*v**2 + 2311*v
What is the a'th term of 23, 91, 285, 665, 1291, 2223, 3521, 5245?
10*a**3 + 3*a**2 - 11*a + 21
What is the r'th term of 83662, 83686, 83724, 83782, 83866, 83982?
r**3 + r**2 + 14*r + 83646
What is the d'th term of 1312, 2170, 3030, 3892, 4756, 5622?
d**2 + 855*d + 456
What is the d'th term of -30, 66, 158, 246, 330?
-2*d**2 + 102*d - 130
What is the t'th term of 77, -47, -385, -1045, -2135, -3763?
-18*t**3 + t**2 - t + 95
What is the c'th term of 44, 47, 8, -79, -220, -421, -688, -1027?
-c**3 - 15*c**2 + 55*c + 5
What is the j'th term of 80, 264, 572, 1010, 1584, 2300, 3164?
j**3 + 56*j**2 + 9*j + 14
What is the o'th term of 4587, 4610, 4633, 4656, 4679?
23*o + 4564
What is the f'th term of 865297, 1730593, 2595889, 3461185, 4326481, 5191777?
865296*f + 1
What is the z'th term of 715, 717, 719, 721, 723, 725?
2*z + 713
What is the u'th term of 331, 558, 785, 1012?
227*u + 104
What is the o'th term of 3100, 3115, 3130, 3145, 3160, 3175?
15*o + 3085
What is the y'th term of 232, 161, 74, -35, -172?
-y**3 - 2*y**2 - 58*y + 293
What is the d'th term of -156, -957, -3052, -7089, -13716, -23581, -37332?
-108*d**3 + d**2 - 48*d - 1
What is the l'th term of 125, 240, 357, 476?
l**2 + 112*l + 12
What is the a'th term of 404, 379, 352, 323, 292, 259?
-a**2 - 22*a + 427
What is the n'th term of -505676, -1011351, -1517026, -2022701?
-505675*n - 1
What is the z'th term of 8113, 8128, 8155, 8194, 8245, 8308, 8383?
6*z**2 - 3*z + 8110
What is the k'th term of 21602, 21602, 21604, 21608?
k**2 - 3*k + 21604
What is the b'th term of -10, 80, 226, 428, 686, 1000, 1370?
28*b**2 + 6*b - 44
What is the q'th term of 146, 531, 1164, 2045, 3174, 4551?
124*q**2 + 13*q + 9
What is the i'th term of -5141, -5155, -5169?
-14*i - 5127
What is the n'th term of 253, 193, 35, -269, -767?
-8*n**3 - n**2 - n + 263
What is the k'th term of -4621, -18443, -41479, -73735, -115217, -165931, -225883?
-k**3 - 4601*k**2 - 12*k - 7
What is the u'th term of -11459, -11456, -11453, -11450?
3*u - 11462
What is the n'th term of 1475679, 1475678, 1475677, 1475676?
-n + 1475680
What is the i'th term of 77, 6, -99, -238, -411?
-17*i**2 - 20*i + 114
What is the q'th term of 76666, 76667, 76668, 76669?
q + 76665
What is the l'th term of 325, 548, 769, 988, 1205?
-l**2 + 226*l + 100
What is the x'th term of -20805, -20804, -20803, -20802?
x - 20806
What is the v'th term of 268, 133, -2, -137, -272?
-135*v + 403
What is the m'th term of 3285, 6541, 9797?
3256*m + 29
What is the x'th term of 825, 1647, 2463, 3267, 4053?
-x**3 + 3*x**2 + 820*x + 3
What is the y'th term of -686, -639, -590, -539, -486, -431, -374?
y**2 + 44*y - 731
What is the b'th term of -113768, -113772, -113776, -113780, -113784?
-4*b - 113764
What is the y'th term of 35, 24, -9, -76, -189, -360?
-2*y**3 + y**2 + 36
What is the s'th term of -69084, -138165, -207246, -276327, -345408, -414489?
-69081*s - 3
What is the k'th te | {
"pile_set_name": "DM Mathematics"
} |
*p**2 + 6*p + 13. Let r be n(-2). Let g = c - r. What is the remainder when 23 is divided by g?
10
Suppose 4*w = -2*g + 12 + 16, -3*g - w = -27. What is the remainder when 22 is divided by g*(-1 + -1 - -3)?
6
Suppose 3*y - 12 = y. Suppose -6*j + 11 = -5*j. Calculate the remainder when 184/y - 6/(-18) is divided by j.
9
Let g(b) = 17*b**2 - 4*b + 7. Let d be g(4). Suppose 2*f - 36 = r + 67, 5*f + 3*r = d. What is the remainder when f is divided by 9?
7
Let z = 7 + -3. Let q = 18 - 17. Suppose -q - 13 = -m. Calculate the remainder when m is divided by z.
2
Let i = 1356 + -1347. Calculate the remainder when 97 is divided by i.
7
Suppose 13*v - 3132 = 7*v. Suppose 3*u - h - 395 = 0, 3*h - 2*h = -4*u + v. What is the remainder when u is divided by 22?
21
Let h(o) = o + 20. Let i be h(-18). Suppose 44 = 2*n - 18*u + 13*u, i*n = -u + 20. What is the remainder when 94 is divided by n?
10
Suppose -3*t + 4*t = 12. Let p = -20 + t. Let k(x) = -5*x - 11. What is the remainder when k(p) is divided by 8?
5
Let r(s) = -2*s - 8. Calculate the remainder when (4 + (-17 - -11))/((-4)/40) is divided by r(-7).
2
Let c(o) = 2*o**2 + 11*o - 190. What is the remainder when 669 is divided by c(-13)?
4
Let r = 13 - 7. Suppose -2 = -2*l + r. Suppose 9 = l*x - x. Calculate the remainder when 11 is divided by x.
2
Let b(r) = r**2 - 18*r + 58. What is the remainder when 50 is divided by b(3)?
11
Suppose 11*j - 64*j = -9487. Calculate the remainder when j is divided by 45.
44
Let a = 57 - 45. Calculate the remainder when 42 is divided by a.
6
Let q = 0 + 5. Suppose -6 = -5*y + 29. What is the remainder when y is divided by q?
2
Suppose -5*j - 4*l + 9*l = -1465, l = -2*j + 589. Suppose 14*s - 9*s = -p + 64, 299 = 5*p + 4*s. Calculate the remainder when j is divided by p.
58
Let k(a) = -a**2 - 22*a - 23. What is the remainder when k(-17) is divided by 9?
8
Let a be (-3)/(-12) + (-1535)/(-20) - 1. Let z = 96 - a. What is the remainder when 79 is divided by z?
19
Let w = 1950 + -1802. What is the remainder when w is divided by 19?
15
Suppose -5*s + 63 = -172. Calculate the remainder when 238 is divided by s + 33/22*(-4)/(-6).
46
Let g be 2*8 - (-5 - -8). Suppose -11*u = -g*u + 26. Calculate the remainder when 74 is divided by u.
9
Suppose -7*s + 134 + 104 = 0. Suppose 2*o = -3*l + 86, -2*l + 2*o = -3*l + s. What is the remainder when 51 is divided by l?
25
Suppose -2*q + 5 = -21. Suppose -2*g + 28*w + 110 = 23*w, -4*g = -5*w - 230. Calculate the remainder when g is divided by q.
8
Let v = -21 + 27. Let y(n) = n**2 - 5*n. Let l be y(v). Calculate the remainder when 40 + -1 - (l + -2) is divided by 18.
17
Let m(n) = -n**2 - 3*n. Let k be m(-3). Suppose k = -2*b - 4*c + 52, -b = -0*b + c - 21. Calculate the remainder when 56 is divided by b.
8
Let g be (1 + 1)/((-1)/5). Let u = -5 - g. Suppose -54 = -4*r - 2*h - 4, 0 = 3*r - 4*h - 43. What is the remainder when r is divided by u?
3
Let i(g) = -g**3 + 16*g**2 - 15*g + 6. Let t be i(15). Calculate the remainder when ((2 - 4) + 24)*t/4 is divided by 20.
13
Let u be (8/2)/2 - -910. Suppose 7*n - u = 3*n. Calculate the remainder when n is divided by 46.
44
What is the remainder when 4*(-3947)/(-44) + (-4)/(-22) is divided by 117?
8
Suppose -26*l = 39*l - 3965. Calculate the remainder when l is divided by 34.
27
Let j = 77 - 20. Suppose -4*t + 165 = -67. Let q = t - 38. Calculate the remainder when j is divided by q.
17
Let w = 1305 + -752. Calculate the remainder when w is divided by 15.
13
Suppose -12 + 3 = -3*r. Suppose -4*t - 386 = -r*u, u + 2*t - 116 = -3*t. What is the remainder when u is divided by 33?
27
Calculate the remainder when 2/(8/256 - 0) is divided by 20.
4
Let v(q) = -q**2 - 11*q - 9. Let c be v(-8). Let u = 13 - c. Calculate the remainder when 109 is divided by (-7)/14 + (-57)/u.
25
Let k(q) = 48*q - 170. Calculate the remainder when k(6) is divided by 20.
18
Let i(d) = -d + 7. Let j be i(5). Suppose 3*l + 30 = h, 0 = -4*h + j*h + 6. What is the remainder when 6/(-2) + (-90)/l is divided by 3?
1
Suppose 0 = -2*z - z + w + 660, -3*w - 433 = -2*z. What is the remainder when z is divided by 32?
29
Suppose 5*o = o + 28. Let m(v) = -v**3 + 25*v**2 - 66*v + 26. Calculate the remainder when m(22) is divided by o.
5
Let s be 23 + 2 - (-2 + -2). Let m = -28 + s. Calculate the remainder when m/(3/(1230/5)) is divided by 21.
19
Suppose 732 = 4*b - 2*b. Let s be b/2 + (-2 - 1). Suppose 4*z - 4*i = -0 + s, -3*i = 0. Calculate the remainder when z is divided by 24.
21
Suppose 588 = 2*a + 5*a. Suppose -3*f + a = -4*g - 7, f - 5*g - 23 = 0. Let v = f - 16. Calculate the remainder when 32 is divided by v.
15
Suppose -3*x + 16 = c + 1, -5*c = -15. Suppose 0 = -x*g - 0*o - 2*o + 48, -4*o = g - 19. Calculate the remainder when 74 is divided by g.
8
Let n = 200 - 191. Calculate the remainder when 30 is divided by n.
3
Let w be 4*((-15)/(-6))/5. Suppose 10*d + 160 = 26*d. Calculate the remainder when (98/4)/(1/w) is divided by d.
9
Let w(j) = j**3 + j. Let y be w(0). Suppose 2*d + 2*i - 38 = 0, -2*d - 3*i + 23 + 19 = y. Calculate the remainder when 74 is divided by d.
14
Suppose -221*m + 261*m - 3120 = 0. What is the remainder when 311 is divided by m?
77
Suppose 2*d + 8 = 56. Let u = 196 + -103. Calculate the remainder when u is divided by d.
21
Suppose 4*h = 2*h + 18. Calculate the remainder when 20 is divided by h.
2
Suppose -q + 314 = 3*x + 2*x, -3*x + q + 190 = 0. Calculate the remainder when 120 is divided by x.
57
Suppose -692 - 276 = -8*p. Calculate the remainder when p is divided by 31.
28
Let q = 240 - 232. Calculate the remainder when 19 is divided by q.
3
Suppose -207 = -3*r + 171. Suppose -2*b + 3*b = r. What is the remainder when b is divided by 32?
30
Let i(x) = x**3 - 10*x**2 + x + 6. What is the remainder when 21 is divided by i(10)?
5
Suppose 2*o = 4*n + 34, 4*n = -66 + 74. Calculate the remainder when 0 + (-16)/6*-21 is divided by o.
14
Suppose 2*p + 3*j + 0*j - 2 = 0, -j - 4 = 0. What is the remainder when 109 is divided by p?
4
Suppose 1179 = 44*o - 4541. Let x(n) = -4*n**3 + 1. What is the remainder when o is divided by x(-2)?
31
Suppose 18*k + 1310 = 5*m + 14*k, 786 = 3*m - 4*k. What is the remainder when m is divided by 15?
7
Suppose -5*j - 4*x + 86 = 0, 0 = -3*x - 6 + 18. Let b = -44 + 112. Calculate the remainder when b is divided by j.
12
Calculate the remainder when 288 is divided by (-43)/((-35)/(-10) - 36/8).
30
What is the remainder when 35 is divided by (2 + -3)/(-1) + -3 + 11?
8
Suppose 1596 - 231 = 39*f. What is the remainder when 147 is divided by f?
7
Let v = -90 + 93. Suppose v*a - 57 = -21. What is the remainder when 166 is divided by a?
10
Let d be 4/2 - 6 - 19. Let k = 21 + d. Let g(y) = 8*y**2 + 2*y + 3. Calculate the remainder when 59 is divided by g(k).
28
Suppose -5*o = -9*o. Suppose -4*n - 5*k = -o*n - 12, n = 5*k - 22. What is the remainder when 35 is divided by 110/11 + n/2?
8
Let k(n) = -14*n**2 - 37*n - 6. Let p = -9 - -13. Suppose p*f - 4*j + 2*j = 182, 4*f - 197 = -3*j. What is the remainder when f is divided by k(-2)?
11
Let a(d) = 2*d - 4. Let z(v) = -151*v - 744. What is the remainder when z(-5) is divided by a(6)?
3
What is the remainder when 121 is divided by (-22)/12 + 1 - (-57938)/708?
40
Suppose -5*z + 10 + 5 = 0. Suppose 0 = 4*v + 5 + z, -5*l - 3*v = -4. Suppose -l*s = -2*d - 20, -d + 2 = 3. What is the remainder when 33 is divided by s?
6
Let n(z) = -z**3 - 3*z**2 - 2*z + 115. What is the remainder when n(0) is divided by 59?
56
Let h(u) = u**2 + 11*u - 3. Let r be h(-11). What is the remainder when (164/(-8) + r/6)*-5 is divided by 18?
15
Let b = -136 - -197. Let g(v) = -v**3 - 7*v**2 - 4*v - 7. Calculate the remainder when b is divided by g(-7).
19
Let f = -1525 - -1572. What is the remainder when 419 is divided by f?
43
Let u = 418 - 415. What is the remainder when 7 is divided by u?
1
Let m = 44 + -39. Let r(z) = 2 - 22*z - 3 + 0 + 8*z. Calculate the remainder when r(-1) is divided by m.
3
Suppose -3*w + 48*t + 1074 = 51*t, -4*t = -3*w + 1053. Calculate the remainder when w is divided by 20.
15
Suppose p + 0 = -1, 0 = -2*v + 4*p + 20. Let z(i) = -7 + 4 + 5 + i. What is the remainder when 46 is divided by z(v)?
6
Let x(v) = -6*v + 6. Let w be x(6). What is the remainder w | {
"pile_set_name": "DM Mathematics"
} |
se 7, what is -43 + 2221?
2145
In base 12, what is 36a - 26?
344
In base 10, what is -1505 + 15?
-1490
In base 9, what is 0 + 14683?
14683
In base 6, what is -13 - -404543?
404530
In base 15, what is 38c + -ac?
2d0
In base 9, what is -27206 + -2?
-27208
In base 7, what is 65 + 16063?
16161
In base 13, what is 540 + 35?
575
In base 7, what is 1043 + -2003?
-630
In base 14, what is -1 - b174?
-b175
In base 13, what is 199269 + -2?
199267
In base 9, what is -125 - -713?
577
In base 7, what is 0 + -2234?
-2234
In base 6, what is -153554 + 2?
-153552
In base 8, what is 3 - -77704?
77707
In base 6, what is -12 - 12113?
-12125
In base 4, what is -12000031 + 1?
-12000030
In base 15, what is 1 - -3218?
3219
In base 15, what is 6720 + 32?
6752
In base 8, what is 5703 + 620?
6523
In base 8, what is 310106 + -31?
310055
In base 14, what is b9ccc - 5?
b9cc7
In base 3, what is -102000122 - 0?
-102000122
In base 6, what is -4135 - 2023?
-10202
In base 4, what is -1 + -10031032?
-10031033
In base 3, what is 102200001110 + 20?
102200001200
In base 10, what is -6 - -16724?
16718
In base 14, what is 50b - -b9?
5c6
In base 11, what is 51 + -39446?
-393a5
In base 8, what is -25 - -650?
623
In base 14, what is -281 + 10?
-271
In base 15, what is 15 + 3?
18
In base 14, what is 0 + -2aa1c?
-2aa1c
In base 5, what is -3 + -20312233?
-20312241
In base 11, what is -581 + 15?
-567
In base 12, what is -1b + a5?
86
In base 7, what is -43 - -40?
-3
In base 11, what is -3a7a - -46?
-3a34
In base 10, what is 26753 + 2?
26755
In base 6, what is -5 - 30423313?
-30423322
In base 10, what is 5234 + -423?
4811
In base 2, what is 1000111001 + 111100111?
10000100000
In base 7, what is -21562 - -14?
-21545
In base 10, what is 1626 + 861?
2487
In base 13, what is -8b + -204?
-292
In base 3, what is 1000020 - -100?
1000120
In base 16, what is -f + -63a?
-649
In base 13, what is 360a + 2?
360c
In base 2, what is 10 + 11111101011001?
11111101011011
In base 6, what is 111 + 412312?
412423
In base 14, what is -2 - 19949?
-1994b
In base 3, what is -10001010 - -202111?
-2021122
In base 11, what is 364 + -1195?
-931
In base 9, what is 8 - 220838?
-220830
In base 10, what is 646 - -47?
693
In base 5, what is -124240304 + -2?
-124240311
In base 7, what is -3 - -5522?
5516
In base 5, what is -2330 + 422102?
414222
In base 4, what is 10033 - 110210?
-100111
In base 10, what is -6409 + -14?
-6423
In base 14, what is 4 + 47483?
47487
In base 3, what is 1202 + 220111?
222020
In base 8, what is 3 + -17247?
-17244
In base 4, what is -21022 + 31?
-20331
In base 6, what is -3 - -112521?
112514
In base 4, what is -33212 + -30023?
-123301
In base 2, what is -1000011 - 1100010101?
-1101011000
In base 14, what is 3 + 1dd3a?
1dd3d
In base 6, what is -13 + 10310?
10253
In base 8, what is 13 + 27444?
27457
In base 7, what is 4 + -360624?
-360620
In base 6, what is -2150 + 40?
-2110
In base 14, what is 5 - 3a0dad?
-3a0da8
In base 5, what is -2334 - 32?
-2421
In base 15, what is -4a15 + -3?
-4a18
In base 15, what is -2d + -19?
-47
In base 15, what is -5 - 84e9?
-84ee
In base 9, what is 588185 - -3?
588188
In base 10, what is 138666 + -4?
138662
In base 12, what is 2 + -2b75?
-2b73
In base 13, what is 3 + -16051?
-1604b
In base 14, what is 5 + -3810?
-3809
In base 6, what is -51234 - -4?
-51230
In base 4, what is -3100 + -10102011?
-10111111
In base 12, what is 1 - 2164?
-2163
In base 2, what is 100111011 - 1101?
100101110
In base 3, what is -11201002201 - -1?
-11201002200
In base 4, what is -1 - -20211013?
20211012
In base 13, what is -1731 - -4?
-172a
In base 12, what is 4 - -6a12?
6a16
In base 16, what is 1f95 - -d2?
2067
In base 15, what is -19 - -16?
-3
In base 2, what is -1111010011111010111 + -11?
-1111010011111011010
In base 8, what is -2 + 104435?
104433
In base 12, what is -5 - 1070b1?
-1070b6
In base 4, what is 1 + -3031323122?
-3031323121
In base 8, what is -5 + 1722?
1715
In base 15, what is 1 + -4c5b6?
-4c5b5
In base 4, what is -100 - 12100030?
-12100130
In base 5, what is -21321 + 331?
-20440
In base 5, what is -1332444 + 230?
-1332214
In base 12, what is 42aa + -76?
4234
In base 14, what is -327 + -bb?
-404
In base 6, what is 5 + 4221454?
4221503
In base 6, what is 244323 - -1?
244324
In base 3, what is -12 + -11122201?
-11122220
In base 8, what is -3 + 25173?
25170
In base 4, what is 1232 - -1023121?
1031013
In base 14, what is 1 - -38a9?
38aa
In base 15, what is -2c6e - -90?
-2bce
In base 2, what is 100100001100 - 1101000?
100010100100
In base 11, what is 1a18327 - 0?
1a18327
In base 12, what is 146 - 562?
-418
In base 3, what is 10102 - -110212011?
110222120
In base 15, what is -12293 + -2?
-12295
In base 9, what is -6312 + -14?
-6326
In base 2, what is 10011000100001111001 + 1?
10011000100001111010
In base 8, what is 4253211 + 4?
4253215
In base 12, what is 5 - 453a39?
-453a34
In base 3, what is -1121221 + 121001?
-1000220
In base 8, what is 4 - 225434?
-225430
In base 2, what is -1000110000110 + -1111000?
-1000111111110
In base 15, what is -31a3de + 0?
-31a3de
In base 5, what is -10 + -11240340?
-11240400
In base 12, what is 2 - -5539a?
553a0
In base 13, what is 2bcb1 - 2?
2bcac
In base 11, what is 12846 - -3?
12849
In base 4, what is -32311021 - 0?
-32311021
In base 3, what is 210212011 + 1021?
210220102
In base 13, what is 908 - -48?
953
In base 12, what is 6456a - -2?
64570
In base 7, what is -210 + -206?
-416
In base 5, what is 1131112 + -312?
1130300
In base 9, what is -431 + 1085?
554
In base 13, what is a2 + 2398?
246a
In base 11, what is 42 + -160?
-119
In base 4, what is 311 - 30231?
-23320
In base 12, what is -4 + 745ab?
745a7
In base 5, what is -33000 + 3101?
-24344
In base 3, what is 1 + 1102211201101?
1102211201102
In base 15, what is c17 + -3?
c14
In base 12, what is -81a - -12?
-808
In base 12, what is a8243 + -1?
a8242
In base 8, what is -151 + 103?
-46
In base 16, what is 1b - 32a?
-30f
In base 14, what is -53b + -5a?
-597
In base 8, what is -3 + 74526?
74523
In base 11, what is 4 + -a2203?
-a21aa
In base 9, what is -576752 + 14?
-576737
In base 11, what is aa5 - -12a5?
229a
In base 7, what is 610022 + 25?
610050
In base 16, what is -6 + -124d5b?
-124d61
In base 10, what is -5377 - 6?
-5383
In base 3, what is -12011 - 20112002?
-20201020
In base 5, what is 3 + 141333?
141341
In base 14, what is -1006 - -949?
-49b
In base 9, what is 77300 + -2?
77287
In base 10, what is -175806 + 4?
-175802
In base 6, what is 344 - -54?
442
In base 2, what is 10001101100 - 10011?
10001011001
In base 7, what is 113 - 13401?
-13255
In base 4, what is 10 - 10013212?
-10013202
In base 3, what is 12021122 - 2102?
12012020
In base 15, what is 1bc370 - 2?
1bc36d
In base 5, what is -2 - -301304?
301302
In base 15, what is -71b9 - -27?
-7192
In base 6, what is 25440 - -2?
25442
In base 9, what is 6575 + -8?
6566
In base 11, what is -1518 + -75?
-1592
In base 3, what is 2 + 1211000020?
1211000022
In base 15, what is 48c + -213?
279
In base 5, what is -2121 + -30234?
-32410
In base 13, what is 209 + 48?
254
In base 3, what is 111 - -122102100?
122102211
In base 13, what is 11663 - a8?
11588
In base 9, what is 3 + -214361?
-214357
In base 9, what is 374727 - -4?
374732
In base 5, what is 343 + -1432?
-1034
In base 7, what is -114 - 10244?
-10361
In base 15, what is 3e4 - 3c?
3a7
In base 13, what is -96 + 1a3?
10a
In base 11, what is 82 + 720?
7a2
In base 16, what is 3 - 6fd7?
-6fd4
In base 4, what is -23302313 + -2?
-23302321
In base 10, what is 76 - -13?
89
In base 7, what is -122644 - -3?
-122641
In base 5, what is 24114 - -114?
24233
In base 11, what is 82 + -670?
-599
In base 12, what is 11 - 20a4?
-2093
In base 12, what is 2 - -3b3aa?
3b3b0
In base 4, what is -11200211 - -1220?
-11132331
In base 6, what is -1230 - 1254?
-2524
In base 16, what is 1 + 31e6?
31e7
In base 5, what is -10 + -213434004?
-213434014
In base 10, what is -1392958 + 5?
-1392953
In base 11, what is -1780 + -30?
-1800
In base 10, what is 644 + 474?
1118
In base 8, what is -4 + -367441?
-367445
In base 9, what is 2880 + -55?
2824
In base 16, what is -19cd - -1?
-19cc
In base 16, what is -5 - 75a03?
-75a08
In base 15, what is -8b4 + -2?
-8b6
In base 14, what is -10322 + -18?
-1033a
In base 9, what is -3 - -26111?
26107
In base 1 | {
"pile_set_name": "DM Mathematics"
} |
Let g(t) = -t - 9. Let q be g(-8). Let o = q + -9. Let s(i) = i**3 + 9*i**2 - 10*i + 6. What is the units digit of s(o)?
6
Let w(o) = -2*o - 51. Let m be w(21). Let y = 183 + m. What is the tens digit of y?
9
Let x = -77 + 86. Suppose -1840 = -x*g + g. What is the units digit of g?
0
Let c be 8 + 4 + -3*1. What is the tens digit of 6/2*c + -1?
2
Suppose -9*n - 3*j = -14*n + 6335, 4*j - 2508 = -2*n. What is the thousands digit of n?
1
Let g(z) = z**2 - 5*z - 2. Let n be g(-2). What is the tens digit of (133/(-42) - -3) + 2294/n?
9
What is the hundreds digit of ((-42)/4)/((-14)/700)?
5
Let i(z) = 103*z - 387. What is the hundreds digit of i(9)?
5
Let r(v) = -v**2 - v + 2. Let m be r(-2). Suppose m = u - 0*g + 2*g, 4*u = 5*g. Suppose -3*w + u*w = -75. What is the units digit of w?
5
Let r(j) be the second derivative of j**3/2 - 8*j**2 - 2*j. Let l be 3 + 2 - (-2 + -2). What is the tens digit of r(l)?
1
Let k(y) = 12*y**2 + 4*y + 7. Let n be k(-4). Let d = -106 + n. Let g = d - 38. What is the tens digit of g?
3
Suppose -4*u + 11 = -1. Let a be 2 + -1*(u - 3). Suppose a*o + 10 = 3*o. What is the units digit of o?
0
Suppose 978 - 9218 = -10*n. What is the units digit of n?
4
Let f(c) = 9*c + 11. Let n(h) = -10*h - 12. Let g(q) = -3*f(q) - 2*n(q). What is the units digit of g(-9)?
4
Let h = 753 - 528. Suppose 4*o = -5*f - h - 23, 5*f - 5*o = -275. Let q = -19 - f. What is the units digit of q?
3
Suppose 24*o - 143 - 769 = 0. What is the units digit of o?
8
Let a = -69 + 79. Suppose -a*g + 735 = -465. What is the tens digit of g?
2
Suppose 4*u + 0*u - 20 = 0. Suppose 3*s - 138 = -0*s + 2*i, i = u*s - 230. What is the units digit of s?
6
Let v(w) = 23*w - 7. Let b be v(2). What is the units digit of (-3 - b/(-12))*164?
1
Let g be 5 + -5 - (1 - 4). Suppose -5*d + g*o + 2*o + 350 = 0, 10 = -5*o. What is the tens digit of d?
6
Let w(n) = 580*n**2 - 5*n - 4. What is the tens digit of w(-1)?
8
Suppose -4*i + 1872 = 4*d, -i - 89*d + 84*d + 456 = 0. What is the tens digit of i?
7
Let y(u) = -9*u**3 - 4*u**2 - 6*u + 13. What is the units digit of y(-5)?
8
Suppose -3819 = -3*p - 4*h - 9849, -p + 5*h - 2010 = 0. What is the units digit of (7/3 + -2)/((-10)/p)?
7
Let s(u) be the second derivative of -u**3/6 + 28*u**2 - 3*u. Let a be s(0). Suppose -t - 2 = -4*z - 6, -3*t + z + a = 0. What is the tens digit of t?
2
Suppose 218 = -3*j + 5*o + 3050, -o - 3759 = -4*j. What is the tens digit of j?
3
Suppose -2*o - 12 = g, -6*o + 2*o = 4*g + 32. Let d be o/((-2)/(-1))*-5. What is the tens digit of d/(1 + (-3)/4)?
4
Let l = -4 - -1. What is the units digit of 4 - (-11)/l - (-285)/9?
2
Suppose s - 5*i - 186 = 0, -3*i + 0*i = 2*s - 372. What is the tens digit of (s/8)/((-3)/(-12))?
9
What is the hundreds digit of (-10)/(-15) + 14352/18?
7
Suppose 4*j = -3*y + 1185, -88*j - 5*y = -90*j + 625. What is the tens digit of j?
0
Let w(b) = 86*b - 495. What is the thousands digit of w(35)?
2
Let y(w) = w**3 + 16*w**2 - 2*w - 24. Let m be y(-16). Let r = -3 + m. Suppose 2*p - 91 = -r*k, -5*p + 45 + 133 = -4*k. What is the tens digit of p?
3
Let k = -24 + 19. What is the tens digit of -2*(-3 - (-51)/5)*k?
7
Suppose -11*i = -7*i - 16, 0 = 2*f + 4*i - 114. What is the tens digit of f?
4
Let b(a) = 7*a + 11. Let x(g) = 3*g + 5. Let d(l) = 2*b(l) - 5*x(l). Let j be 2*((-52)/8 - -4). What is the units digit of d(j)?
2
Let y be (-57)/(-21) + 4/14. Suppose -5*i + 15 = 2*h - h, -10 = -2*h. Let t = i + y. What is the units digit of t?
5
Let w = -139 + 319. Suppose 0 = 18*g - 23*g + w. What is the units digit of g?
6
What is the units digit of (-128 - -117)*(-67 - 1)?
8
Let m be ((-24)/10)/((-20)/150). What is the tens digit of -99*(-4 - m/(-6))?
9
Let u(k) = 67*k**2 - 1. Let y be 0/(1 + -3) - 1. Let q be u(y). Let w = q - 13. What is the units digit of w?
3
Let q = -23 - -29. Let l(g) = 6*g + 9. What is the units digit of l(q)?
5
Let q = -196 + 289. What is the tens digit of 12 + -9 + (-4)/((-4)/q)?
9
What is the units digit of (-13848)/(-42) - 4/(-14)?
0
Let v = -1 + -14. Let l = -10 - v. Suppose -2*q - 2*f + 7 = -f, 4*q - l*f - 49 = 0. What is the units digit of q?
6
Let j be -1 + 0 - (399 + 5). Let k = 273 + j. What is the tens digit of (k/8)/(3/(-4))?
2
Let s(d) = -d**3 + 4*d**2 + 6*d + 3. Let o be s(-2). Suppose 4*l + 5 = -o, 5*j - 2*l - 145 = 0. What is the units digit of j?
7
Let m(l) = -l**3 - 13*l**2 - 20*l - 17. What is the tens digit of m(-12)?
7
What is the tens digit of 6*-1 - -6*4554/27?
0
Suppose 1694 = b - 1442. What is the tens digit of b?
3
Let s be (-80)/(-12) - (-3)/9. Suppose 2*q = s*q. Suppose 0 = -3*d - 5*y + 52, -d = -q*d - 5*y - 44. What is the tens digit of d?
2
Let p(b) = -10*b**3 - 18*b**2 - 27*b - 32. Let f(s) = -3*s**3 - 6*s**2 - 9*s - 11. Let o(j) = 7*f(j) - 2*p(j). What is the units digit of o(-5)?
7
Suppose 16*n + 32 = 3904. Let z = -46 + n. What is the hundreds digit of z?
1
Suppose -2*g + 395 = -5*d, -g - 3*d + 119 = -51. Let c = -98 + g. What is the tens digit of c?
8
Let u(j) = 10*j - 3. Suppose o = 11 - 1. What is the tens digit of u(o)?
9
Let o(g) = 2*g**2 - g - 2. Let d be o(2). Suppose -2*b + d + 0 = 0. What is the units digit of 1 + 9 + (b - 3)?
9
Suppose -w + 5*d - 154 + 1439 = 0, 15 = -3*d. What is the units digit of w?
0
Let q(n) = -n**3 + 3*n**2 + 4. Let a be q(3). Suppose a*i = 12, -4*i - 763 = -5*c - 5*i. What is the hundreds digit of c?
1
Let b(t) = 4*t**2 - 70*t + 115. What is the hundreds digit of b(30)?
6
Suppose 20 = 3*g - s, -5*g - 3 = -s - 37. Suppose 4*p - g*l = -2*l + 254, 0 = -3*p - 5*l + 208. What is the tens digit of p?
6
Let i(n) = 2*n**2 - 4*n - 1. Let k be i(7). Suppose 3*b + k = 198. Suppose 11 = -2*u + b. What is the tens digit of u?
1
Let q be 16 + 3 + 1/(-1). Let m = -1 + q. What is the units digit of m?
7
Let b(p) be the first derivative of p**6/360 - p**5/120 - p**4/12 - p**3/3 - 4. Let w(z) be the third derivative of b(z). What is the units digit of w(-5)?
8
Let m(d) = 0 + d + 7*d**2 - 21*d + 6 - d**2. What is the hundreds digit of m(8)?
2
Let h(o) = 9 + 3*o**2 - 13*o + 6*o**2 - 3*o**2 + 4*o**3 - 3*o**3. What is the units digit of h(-6)?
7
Suppose -4*i + 378 = 42. What is the units digit of i - 8*(-1)/(-2)?
0
Let x(u) = 89*u - 8. Let k(m) = 45*m - 4. Let d(o) = -7*k(o) + 3*x(o). What is the units digit of d(-2)?
0
Suppose 0 = -2*w - t + 12, 0*w - 3*t + 24 = 4*w. Let q = 15 + w. Suppose 3*y = -q + 24. What is the units digit of y?
1
Let m(j) be the first derivative of -5*j**2/2 + 25*j + 9. What is the hundreds digit of m(-17)?
1
What is the units digit of (-6 - -18)/6 + 256?
8
Let o(g) = -3*g**2 - g + 425. What is the units digit of o(0)?
5
Suppose 0 = -3*l - 5*v + 243, 0 = l + 3*l - v - 324. Let f = l - 37. What is the tens digit of f?
4
What is the tens digit of (-33)/99 + (-5)/(45/(-858))?
9
Let r = 19 + -11. Suppose 5*m = -p - 34, 5*m - 8 = -2*p + 4*p. Let s = r - p. What is the units digit of s?
2
Let w(u) = u**3 + 8*u**2 - u + 9. Let t = 32 + -39. What is the tens digit of w(t)?
6
Let g(d) = -6*d - 3. Let k be g(-10). Let p = 120 - k. What is the tens digit of p?
6
Suppose -4 = -l + 10. What is the tens digit of 6/(-14) - (-1784)/l?
2
What is the hundreds digit of ((-24)/(-18))/(10/1875)?
2
Let t(o) = -15*o**3 - 4*o**2 + 5*o - 4. Let u(a) = a**2 + 13*a + 14. Let r be u(-12). Let h be t(r). What is the units digit of (-4)/14 + h/(-14)?
9
Let d(u) = 15*u + 8. Let x(t) = 7*t + 4. Let i = -16 - -25. Let h(g) = i*x(g) - 4*d(g). What is the units digit of h(4)?
6
Suppose 5*k = i + 445, 4*i = k - 133 + 25. What is the units digit of k?
8
Suppose 5*v - 10 = 0, 45 = -3*b - 2*v + 5*v. Let w(u) = -u**3 - 11*u**2 + 6*u + 12. Let p be w(b). What is the units digit of ((-6)/4)/((-24)/p)?
7
Suppose 15830 + 14494 = 28*a. What is the hundreds digit of a?
0
What is the units digit of 54*(-20)/12*-2?
0
Let w be (8360/12)/2 - 1/3. Let c = w + -181. What is the units digit of c?
7
Let w(i) be the first derivative of -43*i**2/2 + i - 5. Let t be w(-3). Suppose t = 4*k - 2*r, -2*k - 3*r = 40 - 117. What is the tens digit of k?
3
Let i = 10 - -109. What is the units digit of i?
9
Suppose 0 = 5*k - 4*v - 13237, 5*v = 57 - 47. What is the units digit of k?
9
Let u(o) = o**2 - 17*o - 5. Let c be u(15). Let l = 107 + c. Suppose 3*q + l = 9 | {
"pile_set_name": "DM Mathematics"
} |
th term of 3364480, 6728949, 10093404, 13457839, 16822248, 20186625?
-v**3 - v**2 + 3364479*v + 3
What is the q'th term of 204558, 204555, 204552, 204549?
-3*q + 204561
What is the g'th term of 533134, 1066294, 1599454, 2132614?
533160*g - 26
What is the f'th term of 112874071, 112874072, 112874073, 112874074?
f + 112874070
What is the p'th term of 148301, 593004, 1334113, 2371628, 3705549?
148203*p**2 + 94*p + 4
What is the o'th term of 99291, 202200, 305107, 408012, 510915, 613816, 716715?
-o**2 + 102912*o - 3620
What is the p'th term of -6745, -27497, -62261, -111037, -173825, -250625?
-7006*p**2 + 266*p - 5
What is the u'th term of 63326, 63335, 63366, 63431, 63542, 63711?
2*u**3 - u**2 - 2*u + 63327
What is the w'th term of 28572, 28605, 28650, 28713, 28800, 28917, 29070, 29265?
w**3 + 26*w + 28545
What is the h'th term of -194490, -777942, -1750366, -3111762, -4862130, -7001470, -9529782?
-194486*h**2 + 6*h - 10
What is the r'th term of 20744, 77070, 168976, 296462, 459528, 658174, 892400?
17790*r**2 + 2956*r - 2
What is the g'th term of -3223, -3488, -3947, -4600?
-97*g**2 + 26*g - 3152
What is the w'th term of 74402, 74503, 74612, 74735, 74878, 75047, 75248?
w**3 - 2*w**2 + 100*w + 74303
What is the n'th term of -47782, -184943, -413538, -733561, -1145006, -1647867, -2242138?
n**3 - 45723*n**2 + n - 2061
What is the w'th term of 1486, 6678, 20768, 48202, 93426, 160886?
741*w**3 + 3*w**2 - 4*w + 746
What is the l'th term of -853, -1413, -1655, -1579, -1185, -473?
159*l**2 - 1037*l + 25
What is the v'th term of -104, -435, -988, -1763, -2760?
-111*v**2 + 2*v + 5
What is the q'th term of 2008, 2988, 3964, 4936, 5904, 6868, 7828?
-2*q**2 + 986*q + 1024
What is the d'th term of -6806138, -6806142, -6806146?
-4*d - 6806134
What is the n'th term of 9173, 15422, 21683, 27962, 34265, 40598, 46967?
n**3 + 6242*n + 2930
What is the x'th term of -5650, -4707, -3762, -2815?
x**2 + 940*x - 6591
What is the y'th term of 500317, 502275, 504233, 506191, 508149?
1958*y + 498359
What is the r'th term of -289401, -578826, -868251, -1157676, -1447101?
-289425*r + 24
What is the x'th term of -268986, -269352, -269718, -270084?
-366*x - 268620
What is the j'th term of 4120, 4056, 3896, 3598, 3120?
-7*j**3 - 6*j**2 + 3*j + 4130
What is the q'th term of 15368, 30731, 46094, 61457, 76820, 92183?
15363*q + 5
What is the r'th term of -4918, -19470, -43730, -77686, -121326, -174638, -237610?
2*r**3 - 4866*r**2 + 32*r - 86
What is the v'th term of 285859, 285872, 285889, 285910, 285935, 285964?
2*v**2 + 7*v + 285850
What is the w'th term of -7311, -7385, -7425, -7431, -7403, -7341, -7245?
17*w**2 - 125*w - 7203
What is the g'th term of 13805578, 13805583, 13805588, 13805593?
5*g + 13805573
What is the f'th term of -83516, -83558, -83600?
-42*f - 83474
What is the r'th term of -13388299, -26776574, -40164849?
-13388275*r - 24
What is the c'th term of 3635, 7304, 11027, 14816, 18683, 22640, 26699?
2*c**3 + 15*c**2 + 3610*c + 8
What is the w'th term of -71515, -71538, -71577, -71632, -71703, -71790?
-8*w**2 + w - 71508
What is the q'th term of 13200297, 26400598, 39600895, 52801188?
-2*q**2 + 13200307*q - 8
What is the m'th term of 21484, 43246, 65008, 86770?
21762*m - 278
What is the v'th term of 2809902, 5619798, 8429694, 11239590, 14049486?
2809896*v + 6
What is the l'th term of 69053, 275818, 620299, 1102496, 1722409, 2480038?
68858*l**2 + 191*l + 4
What is the j'th term of 9260, 9870, 10894, 12338, 14208?
j**3 + 201*j**2 + 9058
What is the i'th term of -96408, -193287, -290166, -387045, -483924, -580803?
-96879*i + 471
What is the n'th term of -8214, -12480, -16746, -21012?
-4266*n - 3948
What is the r'th term of -1168523, -2337042, -3505575, -4674128, -5842707, -7011318?
-r**3 - r**2 - 1168509*r - 12
What is the n'th term of 2206, 1808, 1006, -314, -2266, -4964?
-19*n**3 - 88*n**2 - n + 2314
What is the c'th term of -6918, 82464, 325074, 797526, 1576434, 2738412, 4360074?
12769*c**3 - c - 19686
What is the m'th term of -102729, -102986, -103249, -103518, -103793, -104074, -104361?
-3*m**2 - 248*m - 102478
What is the y'th term of -4522, -36264, -122418, -290188, -566778, -979392, -1555234, -2321508?
-4534*y**3 - 2*y**2 + 2*y + 12
What is the g'th term of -3431414, -6862847, -10294284, -13725725?
-2*g**2 - 3431427*g + 15
What is the j'th term of 506729, 506809, 506875, 506921, 506941, 506929, 506879, 506785?
-j**3 - j**2 + 90*j + 506641
What is the y'th term of 1908, 2255, 2616, 2997, 3404?
y**3 + y**2 + 337*y + 1569
What is the r'th term of -719, -1973, -3745, -6011, -8747?
4*r**3 - 283*r**2 - 433*r - 7
What is the w'th term of -4580, -18401, -41448, -73727, -115244, -166005, -226016?
-w**3 - 4607*w**2 + 7*w + 21
What is the h'th term of -37629, -37631, -37627, -37611, -37577?
h**3 - 3*h**2 - 37627
What is the y'th term of -3241, -3264, -3303, -3358?
-8*y**2 + y - 3234
What is the y'th term of 1778989, 3557936, 5336885, 7115836, 8894789?
y**2 + 1778944*y + 44
What is the m'th term of 1609, 6032, 13297, 23398, 36329, 52084?
-m**3 + 1427*m**2 + 149*m + 34
What is the i'th term of -1028127, -2056233, -3084333, -4112427?
3*i**2 - 1028115*i - 15
What is the c'th term of 16526, 66110, 148764, 264500, 413330, 595266, 810320, 1058504?
2*c**3 + 16523*c**2 + c
What is the u'th term of -13932, -12923, -11914?
1009*u - 14941
What is the o'th term of 12876338, 25752538, 38628738, 51504938?
12876200*o + 138
What is the g'th term of 56, 208, 442, 758, 1156?
41*g**2 + 29*g - 14
What is the h'th term of 23246, 46820, 70394, 93968, 117542, 141116?
23574*h - 328
What is the h'th term of -35286, -140717, -316288, -561999?
-35070*h**2 - 221*h + 5
What is the x'th term of 999, 815, 607, 375?
-12*x**2 - 148*x + 1159
What is the h'th term of -6656, -13389, -20136, -26903, -33696, -40521?
-h**3 - h**2 - 6723*h + 69
What is the o'th term of 17073, 68353, 153835, 273531, 427453, 615613, 838023, 1094695?
2*o**3 + 17089*o**2 - o - 17
What is the x'th term of 1809, 1837, 1849, 1845, 1825, 1789?
-8*x**2 + 52*x + 1765
What is the o'th term of 20, 404, 1534, 3782, 7520, 13120, 20954?
62*o**3 + o**2 - 53*o + 10
What is the v'th term of -1343, -2944, -4547, -6152?
-v**2 - 1598*v + 256
What is the u'th term of -22136, -44146, -66030, -87788, -109420, -130926, -152306?
63*u**2 - 22199*u
What is the n'th term of 304039, 608200, 912361, 1216522, 1520683, 1824844?
304161*n - 122
What is the b'th term of 14, -2103, -6350, -12727, -21234?
-1065*b**2 + 1078*b + 1
What is the m'th term of 141141, 282310, 423501, 564714, 705949, 847206, 988485?
11*m**2 + 141136*m - 6
What is the r'th term of -9649, -6104, -2559, 986, 4531, 8076?
3545*r - 13194
What is the i'th term of -9197, -18217, -27237, -36257, -45277?
-9020*i - 177
What is the i'th term of 369010, 369016, 369022, 369028, 369034, 369040?
6*i + 369004
What is the u'th term of -565706, -1131420, -1697134?
-565714*u + 8
What is the k'th term of 198275, 793110, 1784509, 3172478, 4957023, 7138150?
k**3 + 198276*k**2 - 2
What is the b'th term of 780818, 1561654, 2342500, 3123362, 3904246, 4685158, 5466104?
b**3 - b**2 + 780832*b - 14
What is the n'th term of -35233, -70694, -106147, -141586, -177005, -212398?
n**3 - 2*n**2 - 35462*n + 230
What is the o'th term of 25237, 51736, 78233, 104728, 131221, 157712?
-o**2 + 26502*o - 1264
What is the g'th term of 650794, 650808, 650822, 650836, 650850, 650864?
14*g + 650780
What is the k'th term of 16262, 12474, 6158, -2686, -14058?
-1264*k**2 + 4*k + 17522
What is the p'th term of -102186, -98191, -94198, -90207, -86218, -82231, -78246?
-p**2 + 3998*p - 106183
What is the h'th term of -1798283, -7193136, -16184557, -28772546, -44957103, -64738228, -88115921?
-1798284*h**2 - h + 2
What is the u'th term of -1360822, -1360899, -1361034, -1361233, -1361502, -1361847, -1362274, -1362789?
-u**3 - 23*u**2 - u - 1360797
What is the i'th term of -4719, 359, 5437?
5078*i - 9797
What is the s'th term of 5283, 42378, 143095, 339246, 662643, 1145098, 1818423?
5302*s**3 - s**2 - 16*s - 2
What is the s'th term of -172243, -691116, -1555897, -2766580, -4323159?
s**3 - 172960*s**2 + 716
What is the y'th term of 19086, 75481, 169480, 301083, 470290, 677101, 921516?
18802*y**2 - 11*y + 295
What is the s'th term of 208025, 416032, | {
"pile_set_name": "DM Mathematics"
} |
for d.
-2
Let s(v) = -v**2 + v + 10. Let n be s(0). Suppose 5*x + 0*x = n. Solve -i - 19 = x*h - 6*h, -3*h + 15 = 0 for i.
1
Let i(s) = s**2 - 8*s - 11. Let a be i(9). Let j be -1 + 3 + (0 - a). Let f = j + 1. Solve -5*w + 18 = -7, -f*p + w + 5 = 0 for p.
2
Let f be (-34)/(-9) - -1 - 20/(-90). Let o = 27 + -8. Let l(y) = -y**2 - 5*y - 2. Let j be l(-3). Solve j*q - 13 = 3*g, 0*q + 4*q = f*g + o for q.
1
Let t(i) = -1. Let j(h) = -h - 3. Let d(r) = 2*j(r) - 2*t(r). Let w be d(-3). Suppose -2*a + 3*a - 2 = 0. Solve 4*x + 1 = 3*s - 7, -2*x - a = -w*s for x.
-5
Let f be 6/(-4)*(-4)/(-3). Let d(q) = 5*q**2 - 3*q - 2. Let z be d(f). Solve 3*v - 6*v = 3*b + z, -5*v - 12 = -2*b for b.
-4
Suppose 3*o - 2*y + 4 = 0, 0 = y + 4*y - 10. Solve 0 = 3*s - 2*k - 7, 3*s - 5*k + 4*k - 11 = o for s.
5
Let l be (4/6)/(-7 - (-66)/9). Solve 0 = -p - 5*k + 14, 0 = p - 0*p - 3*k + l for p.
4
Let q(t) = t**2 - 9*t - 6. Let v be q(10). Suppose -z - 5*w = -28, 5*z - 2*z = v*w + 8. Solve -2*s + 4*s + z = 0, 3*k - 23 = 2*s for k.
5
Let g(v) = v - 4. Let m be g(2). Let y be (-10)/m - 0 - 1. Let r be 27/y - 1/(-4). Solve -2*a - 13 = 3*p, a + 7 = -3*p - r for p.
-5
Let n(j) = -j + 14. Let u be n(11). Solve -3 = 4*x + o - 0, -2*x + o = u for x.
-1
Suppose i = 3, t - i + 3 = -0*i. Solve -q + 6*q + 2*w - 1 = 0, t = -2*q - 4*w - 6 for q.
1
Let w = -28 + 14. Let t be (-6)/(-21) - 66/w. Solve t*f - 2 = -3*r, -3*r + 11 + 7 = -3*f for r.
4
Suppose j = 2*j - 1. Solve -a = 2*x - 4*a + j, -2*x + 4*a - 2 = 0 for x.
1
Suppose -3*l - 3*b = 2*b - 5, 0 = l - 4*b - 13. Let c be 0/l - (-4)/2. Solve 4*t + 6 = 3*r, c*t = 4*r - 0 - 8 for t.
0
Let b = -8 + 12. Suppose b*j - 3*r = 3, r = -j + 5*j - 9. Solve 2*y = -5*o - 25, 5*o + 11 + 14 = j*y for o.
-5
Let p(h) = -h**2 - 22*h + 1. Let f be p(-10). Let n be 84/22 + 22/f. Solve -n*k - 4*m = 0, 0 = 5*m - 25 for k.
-5
Let o be (-36)/(-15)*(-10)/(-4). Suppose o + 2 = 2*g. Solve -g*d = -4*i + 8, -i + 4 = -3*d + d for i.
0
Suppose 5*n - 3*b - 4 = 10, 3*b - 6 = 0. Solve -4*p = 3*o - n, -5*o + 2*p - p = 1 for o.
0
Let h(m) = -m. Let y be h(-2). Let d(a) = -a**2 + 4*a - 2. Let p be d(y). Suppose -p*x + w = -10, -32 = -2*x - 2*x + 5*w. Solve -t = -x*o - 4, t = 1 - 6 for o.
-3
Let d(r) = -r**3 - 4*r**2 - 2*r - 5. Let h be d(-4). Suppose 0 = 4*z + 20, -2*z - 8 + 2 = 2*f. Solve 6*g - f*p - 10 = g, p = -h*g - 5 for g.
0
Let h be (-106)/(-22) - (-8)/44. Solve -h*v = -3*a + 25, 0*a + a = 2*v + 9 for a.
5
Suppose 2*l + 20 = -0*l. Let o be (39 + 1)*l/(-25). Solve 7 = -5*m + 3*c, -5*m + 5*c - o = -m for m.
1
Suppose -3*d = -5*d. Let v(b) = b**3 + 1. Let l be v(d). Let s = 5 - l. Solve 0 = -3*o + m - s, -o - 10 = 4*o - m for o.
-3
Suppose 7*x - 2*x + 2*q - 21 = 0, -4*x - 5*q + 10 = 0. Solve -2*z - 3 = -d - 0*z, -45 = x*d + 5*z for d.
-5
Suppose 0 = 3*u - 0*u + 5*x - 49, -5*x = 5*u - 65. Solve 2*r = -2, z + u*r = 3*r - 5 for z.
0
Let m(b) = -b**3 - 4*b**2 - b. Let x be m(-4). Solve 4*a + 27 = 3*l - 6*l, -2 = -2*l + x*a for l.
-5
Let w be -30 + (-1 - -4) + -1. Let g = 28 + w. Solve 2*b + u - 15 = -4*u, g = -3*u + 3 for b.
5
Let m = -16 + 21. Solve -5*u - 3*k = 3, -3*u - m*k = -3 + 8 for u.
0
Suppose 0 = -2*v - a + 6 + 10, -5*a + 40 = 5*v. Solve 0 = -5*b - 2*i + v, -4*b + 6 + 1 = i for b.
2
Let w be (1 - 2) + (-16)/(-1). Let s(z) = 9*z. Let p be s(-1). Let d = w + p. Solve 0 = 2*x + h - 3, 4*h = 5*x + d*h - 10 for x.
4
Let s(w) = w**3 - 12*w**2 + 10*w - 1. Let j be s(11). Let k = j + 12. Solve k = -2*p - 2*x, -3*p - p = 3*x + 2 for p.
-2
Suppose -3*x - 7 = 4*k - 3*k, -5*k - x + 7 = 0. Solve -g - 2*s + 7 = 0, 0 = k*g + s - 4*s + 7 for g.
1
Suppose -21*d = -30*d. Solve -4*m + 5*n - 21 = d, 3*n = -2*n + 5 for m.
-4
Let l = -12 - -8. Let b(o) = 3*o - 12. Let i be b(4). Let s = i - l. Solve -s*k - 6 + 3 = -3*x, 5*x - k = -12 for x.
-3
Suppose -3*m - 2*m = -i + 2, -5*i = 4*m - 68. Solve 3*d = 3, -5*v = -v + 4*d - i for v.
2
Let z be (-26*2/(-4))/(-1). Let x = -1 - z. Solve -3*u - 3*r - x = -0*r, 0 = -5*u + 4*r - 2 for u.
-2
Suppose -3*f + 4*m = -20, -11 - 11 = -3*f + 5*m. Solve -c - 12 = -2*q - f, 4*c - 5*q = -23 for c.
-2
Let u be (-3)/(1 + (-2)/1). Let l = 64 + -61. Solve 10 = -l*i - u*k + 4, 0 = -2*i - k - 6 for i.
-4
Suppose 5*m - 19 = 2*a, -5*m + 15 = 5*a - 25. Solve -b - 15 = -3*l, -a*l + 15 = 2*b + 3*b for b.
0
Let m = -19 - -31. Solve -3*p + 12 = -3*k, -3*p = -3*k + 5*k - m for k.
0
Let k be (-3 + 7/2)*0. Solve -3*j - 1 = -2*r, 2*r = -k*r + 4*j + 2 for r.
-1
Suppose -t + 3*t - 2*x - 18 = 0, -4*x = 2*t - 18. Let w = -9 + t. Solve 0 = -s + 3*s - 8, w = 2*c - s + 8 for c.
-2
Let g = 5 - -10. Suppose -15 - g = -5*d. Suppose 4*q - k - 16 = 0, 0 = 3*q - d*q - 3*k - 3. Solve -2*f + 2*w = w + 4, -4*w = q*f + 17 for f.
-3
Let h(x) = -x + 3. Let w be h(0). Let r be (-2)/(-6) - (-2)/3. Suppose 0 = -3*v + c + r, -v + 0*v + 5*c = 23. Solve 0*g + w*g = o - 7, -v*g - 18 = 2*o for o.
-5
Suppose -2*n = 5*q - 3*q - 20, 3*q - 3*n = 0. Let v be (-10)/3*(-12)/10. Let t be (-6)/v*-1*2. Solve 6*b - b = -t*z - 6, 10 = 4*b - q*z for b.
0
Let n = 5 - 3. Suppose -6*a = -n*a - 12. Solve -3*t = 5*c - 5, -4*c - t + a = -c for c.
1
Let g(n) = n**2 + 3*n + 2. Let h be g(-3). Solve t = -4*t - 15, -x = h*t + 1 for x.
5
Let z(k) be the first derivative of k**4/4 + 4*k**3/3 + 3*k**2/2 + 2*k + 1. Let a be z(-3). Solve 2*d + 3*d - a*j = 3, -j = 4*d + 8 for d.
-1
Let j(d) = -2*d + 1. Let k be j(-3). Solve -2*c - 20 = -k*c, -4 = -4*r - 4*c for r.
-3
Let x be -1*0/(-1) + (-104)/(-26). Let c = -14 - -20. Solve 2*y = x*w - y + c, w = -5*y - 13 for w.
-3
Let q = -115 - -119. Solve 2*s + 3 = 3*w, -s - q*s = -5*w for s.
3
Let w(n) = n**2 - 6*n - 7. Let t be w(8). Suppose 5*g - 6 = t. Solve 3 = f + 3*x, g*f + 5 = 5*x - 14 for f.
-3
Suppose 4*u - 4 = -6*q + 3*q, -2*q - 4*u = 0. Suppose -q*y = y - 25. Solve -3*t - 5*a = 8, y*t - 3*t - a = 12 for t.
4
Let m = 5 - 7. Let w be 7 + (1 + m)*3. Solve -2*l + w*l - 12 = 3*p, 0 = p - 2*l + 4 for p.
-4
Let m = -22 - -24. Solve 3*b = -2*l - 17, -4*l + m*l = -4*b - 18 for b.
-5
Suppose t + 4 = 3*s - 7*s, -2*t + 14 = -3*s. Solve t*x + d - 18 = 1, -5*x = -4*d - 8 for x.
4
Suppose -n + 28 = 4*t + 3*n, -2*t + 18 = 3*n. Solve 6 + 4 = -5*k, 0 = -l + t*k + 3 for l.
-3
Let r(k) = -11*k**2 - 1 + 11*k**2 + 4*k**3. Let z be r(1). Solve -p - p = -3*c - 19, 9 = 2*c + z*p for c.
-3
Let j = 3 + -3. Suppose j = -3*k + 7*k + p - 3, k - 3*p = 17. Let a be k - ((4 - 2) + -4). Solve 10 = -2*i - 4*g, -20 = 4*i - g - a*g for i.
-5
Let j be -3*(-1)/4*24. Let x = 33 - j. Solve 2*m = 5*m - x, 5*h + 15 = 5*m for h.
2
Let m(n) = n**3 - 8*n**2 + 6*n + 13. Let t be m(6). Let w = t + 28. Solve h - 5*b = 4, 2*h + w*b = 4*h - 3 for h.
-1
Let k = 13 + -11. Suppose h - 3 = k. Solve 3*f - 18 = -i - f, -4*i = h*f - 17 for i.
-2
Suppose 2*t - 11 = -1, -5*s + 30 = 3*t. Suppose 23 = 5*b - 3*l, -4*l + 10 - 2 = 3*b. Solve 0 = b*c, -s*z + 9 = 6*c - c for z.
3
Suppose 7 = 5*t + 22. Let g be (0 - -1)/(t - -4). Let b = 3 - g. Solve b*w + 7 = -w + r, -3 = w - r for w.
-2
Let l = -31 - -41. Solve 20 = 2*a + 5*x, 2*a + 10 = 5*x - l for a.
0
Let v = 8 - -14. Suppose -z = -4*g - 23, v = -0*z + 4*z - 2*g. Solve z*f + w = 18, w + 14 = f + 4*w for f.
5
Let t(h) = h**3 - 4*h**2 - 3*h - 5. Suppose 2*f = 4*a + f - 24, -3*f = -2*a + 22. Let v be t(a). Solve 2*w + 4*c = -16, v*w + 10 = 2*c - 6 for w.
-4
Let i be 4/3 - 2/6. Let x be (-2)/((-4)/(-9))*-2. Let k be 2 + -2 + i + x. Solve 3*f + k = 2*f - 5*c, 0 = 4*f - 3*c - 6 for f.
0
Let x(y) = 0 + 3*y - 2*y + 3. Let c be x(-3). Solve c*n - 5*n = -3*d - 7, -4*n = d + 8 for d.
-4
Let u(b) = b**2 + 9*b + 9. Let l be u(-7). Let h = 10 + l. Solve -f + y = 3, f + h*y - 2*y = 13 for f.
1
Let l be (-16)/(-72)*(-2 - -11). Solve -l*s + 4*c = -6, -2*s - 2*s = -4*c - 12 for s.
3
Suppose 5*v = 394 - 64. Suppose -i = 2*i - v. Solve -3*q + 2 = x + 9, -2*x + i = -3*q for q.
-4
Suppose u - g = -u - 2, 0 = -4*u - 2*g + 4. Solve 6*j - j = -4*v, u = -2*j + 3*v for j.
0
Suppose 0 = 2*w - w + 4*i + 15, -5*w + 35 = -2*i. Suppose 0 = -w*a - 2*s + 15, -a - s + 3 = -0*s. Solve -3*g - 3*l - 21 = 0, -17 + 6 = g + a*l for g.
-5
Let t be (24/(-15) + 2)*15. Let q be -3*t/9 - -5. Suppose 0 = q*x - 54 + 3. Solve -5*j + 4 = 3*o - 19, 4*j + o - x = 0 for j.
4
Let k = 9 - 5. Let n be (8/(-4))/(k/(-6)). Let y(f) = f**2 | {
"pile_set_name": "DM Mathematics"
} |
52?
True
Let i(o) = -1202*o - 208. Is 115 a factor of i(-4)?
True
Suppose -15*s + 3*v + 753 = -13*s, -5*s - 2*v + 1892 = 0. Is 26 a factor of s?
False
Let s(b) = -412*b. Let v be s(-1). Let y = v - 293. Let t = -56 + y. Is 21 a factor of t?
True
Let n(r) = -63*r**3 - 5*r**2 + 7*r + 29. Does 52 divide n(-3)?
True
Suppose -954*f + 949*f = -11500. Is f a multiple of 19?
False
Suppose 0 = -2*w - 198 + 594. Is 7 a factor of w?
False
Suppose -4 = -5*g + 21. Suppose 4*p - 116 = -g*u + u, 0 = -4*u + 4*p + 156. Is u a multiple of 19?
False
Let v(a) = -a**2 - 10*a + 13. Let p be v(-8). Suppose -4*f + p = -11. Is f a multiple of 9?
False
Is -8 - (-852)/3 - 2 a multiple of 11?
False
Suppose -360 = 26*b - 34*b. Is 6 a factor of b?
False
Let l = -3 + 5. Suppose h + l*x - 55 = -4*h, -5*h = -x - 70. Does 13 divide h*(2 + -1)/1?
True
Suppose -5*p + 0*p - 25 = 0. Let d be 1/p + (-3332)/(-35). Suppose 0 = -2*q + d + 7. Does 14 divide q?
False
Let g(y) = 2*y + 24. Let q be g(-12). Suppose q = -2*f + 9*f - 294. Does 14 divide f?
True
Suppose -2*x - 4*v - 5 = x, 20 = 5*x + v. Suppose 4*j + 4*n = 428, 505 = x*j - 0*n - 5*n. Is j a multiple of 12?
False
Is 9/(27/5)*51 a multiple of 74?
False
Does 45 divide ((-4680)/(-144))/(1/18)?
True
Let s = -279 - -189. Is s/1*(-2)/3 a multiple of 15?
True
Let m(a) = -12*a - 13 + 8*a - a**3 - 10*a**2 - 9*a. Is m(-9) a multiple of 16?
False
Let m(q) = 103*q**3 + 7*q**2 + q. Is 18 a factor of m(2)?
False
Does 2 divide (36/(-18))/(3/(-159))?
True
Let m(p) = p - 25*p**3 - 5*p + 1 + 4*p**2 + 9*p. Let h be m(4). Is h/(-27) - (-8)/(-72) a multiple of 28?
True
Suppose -68*k + 60*k + 184 = 0. Is 8 a factor of k?
False
Suppose 0 = 16*t - 15*t + 2*r - 455, -2*r - 2323 = -5*t. Does 34 divide t?
False
Suppose 4*s - 2*r = 1278, -5*r + 10 = -3*r. Is 46 a factor of s?
True
Let p = -27 + 39. Suppose -p*x - 220 = -17*x. Is 8 a factor of x?
False
Let u = -302 + 406. Does 6 divide u?
False
Suppose -2*p - y = -6, 2*p + 2*y - 6 = -0*y. Let h be -3 + p + 1 + -26. Is 3 a factor of (7 + -2)*(-30)/h?
True
Let y(g) = -g**3 + 12*g**2 + 34*g - 34. Does 2 divide y(14)?
True
Suppose -6*i + 166 = 4*s - i, 4*s = 5*i + 146. Suppose s*c - 176 = 37*c. Is c a multiple of 22?
True
Let l(b) = -7*b - 16. Let r(v) = v. Let z(c) = -l(c) - 6*r(c). Let i be z(-13). Does 8 divide (1 - (i - 3))*24?
True
Suppose 19*u = 22*u - 7695. Is u a multiple of 15?
True
Let s(a) be the first derivative of -9*a**4/4 + a**2/2 + 18. Is 4 a factor of s(-1)?
True
Let s be (7/(-21))/(2/(-12)). Let x(u) = 8*u + 1 - 6*u - 2*u + 17*u**s. Is x(-1) a multiple of 6?
True
Let d(u) = -151*u - 6. Is d(-6) a multiple of 36?
True
Let j(c) = 17*c**2 + 2*c + 2. Suppose 8 + 2 = -5*f. Let u be j(f). Suppose -4*s - 79 = -3*t, t - u = -t - 4*s. Is t a multiple of 15?
False
Suppose -431 - 316 = 9*w. Let z = w + 120. Is z a multiple of 7?
False
Let t be 3/(-9) - (-30)/9. Suppose -y - 2*y + 37 = 4*n, -t = -y. Is 10 a factor of (n + -3)*10 + -1?
False
Suppose -3*h + 2*v + 1576 = 0, 2096 = 155*h - 151*h - 4*v. Does 48 divide h?
True
Suppose -u - u = 0, y + 2*u - 646 = 0. Is y a multiple of 19?
True
Let b = 3244 + -1996. Does 6 divide b?
True
Does 13 divide (-2478)/(-10) - (-64)/(-80)?
True
Suppose 5555 = 40*i - 6285. Is i a multiple of 37?
True
Is -2 + (323 - 49/(-7)) a multiple of 82?
True
Let q = 267 + 112. Is 6 a factor of q?
False
Suppose -5*o = -0 - 5. Let v(d) = -2*d + 2. Let y be v(o). Suppose 4*h - 2*j - 42 = y, -2*h + 15 = -h - 5*j. Is h a multiple of 10?
True
Suppose -10 = -5*d, -4*i - d - 52 = -3*d. Let x = i - -66. Is x a multiple of 8?
False
Suppose 34 = 2*t - 4*h, -5*t + h - 11 = -51. Let z(v) = 12*v + t + 2*v + 12*v. Is z(2) a multiple of 9?
False
Suppose 4*l + c + 2 = 13, l + 1 = -4*c. Let v(y) = -15*y**2 + 6*y + 9*y**l - 6*y**3 - 4*y**3 + 7*y - 19. Is v(-16) a multiple of 8?
False
Suppose a + 0 + 5 = 0, 5*h - 2200 = -3*a. Suppose 0 = -5*y - p + 137 + 401, h = 4*y + 5*p. Is y a multiple of 27?
False
Let z be 4/(-14) - 16/(-7). Let p be 2/4 - (-206)/4. Suppose z*f - p = -0*f. Does 13 divide f?
True
Let s be -5 + 6 - -23*3. Let v = s - 36. Does 6 divide v?
False
Let k(l) = -2*l**2 + 56*l + 16. Is 5 a factor of k(27)?
True
Let r = 491 + -350. Suppose 0 = -z + 2*k + r, 5*z + 5*k - 780 = -0*k. Is 23 a factor of z?
False
Does 13 divide (2 + 1 + -2)/(28/1316)?
False
Let t = 2112 - 1092. Is t a multiple of 102?
True
Suppose 0 = -10*i - 7*i. Suppose i = -4*b + 1154 - 426. Does 26 divide b?
True
Let p(m) = -m**3 - 13*m**2 + 7*m - 24. Let y be p(-13). Let q = -91 - y. Does 7 divide q?
False
Let q = -1085 + 2327. Does 46 divide q?
True
Let w(k) = -k - 15. Let u be w(-5). Let f be (-12 - -9)*u/6. Suppose 388 = f*t + 3*s - 0*s, 92 = t - 3*s. Does 17 divide t?
False
Suppose 4*u = -3*a + 199, 2*u - a + 0*a = 97. Let s(m) = m**3 + 4*m**2 - 9*m - 9. Let f be s(-5). Suppose 0 = x - f - u. Is x a multiple of 20?
True
Let m be (-78)/(-4)*2/3. Let j be -1*1 - (m - 4). Let t(k) = k**3 + 10*k**2 - 3*k + 6. Is 6 a factor of t(j)?
True
Suppose -10 = -9*u + 4*u. Let r be (-1225)/(-14) - (-3)/(-6). Suppose 2*o + y - r = -u*o, -2*o = -4*y - 66. Is 10 a factor of o?
False
Suppose -12 = -3*j + 2*y, 2*j - 6*j - 5*y - 7 = 0. Let l = -403 - -530. Suppose l = j*z - 5. Does 20 divide z?
False
Let z be (-110)/(1/14*-2). Suppose 5*f - z = -5*f. Is 7 a factor of f?
True
Let m = 3212 - 1700. Is m a multiple of 21?
True
Is 5272/12 - (-18)/27 a multiple of 32?
False
Let v = 1417 - -683. Is 35 a factor of v?
True
Let d be (-32)/(-15) - (-10)/(-75). Let n be (-2 + 5 - d)*0. Suppose -2*r - 68 = -x, n = x + 5*r - 4*r - 65. Is 24 a factor of x?
False
Suppose 1073 = r + 4*f + 54, 0 = -4*r + 3*f + 3981. Does 58 divide r?
False
Let x = -626 - -1801. Does 25 divide x?
True
Suppose -18*w + 4*n = -20*w + 1516, 0 = 2*w - 3*n - 1509. Is 63 a factor of w?
True
Does 13 divide (-14672)/(-49) - 14 - (-4)/7?
True
Let u = 561 - 518. Is u a multiple of 40?
False
Let g = 15 - -10. Suppose 6*q - g = q. Suppose -127 = -3*v - 2*o, -q*v - o + 180 = -4*o. Is v a multiple of 13?
True
Let q(h) = h**2 + 61*h - 546. Is 82 a factor of q(51)?
True
Let g(y) = 3*y**3 + 43*y**2 - y + 27. Is g(-11) a multiple of 13?
True
Let h = -4 + 11. Suppose -9 = -p + 3*d, -2*p - 69 = -h*p + 3*d. Suppose -5*o + 40 = -p. Is o a multiple of 6?
False
Suppose 2*j - j - 4*d - 48 = 0, -4*j - 3*d + 211 = 0. Suppose 0 = z + 3*z + j. Is 19 a factor of (z/(-26))/((-2)/(-92))?
False
Suppose -2*j + 8 = 26. Let m = j + -3. Let n = -9 - m. Is 2 a factor of n?
False
Let p(n) = 21*n**2 - 6*n - 4. Is p(4) a multiple of 16?
False
Is 525/24 - 13/(-104) a multiple of 9?
False
Let o be (-14 - -11)*8/(-6). Suppose 50 = o*f + g, g = -2*f + 4*g + 18. Is 2 a factor of f?
True
Let a be (-99)/2*(-2 - 0). Suppose -a = -2*g + 61. Suppose -6*o = -o - g. Is 9 a factor of o?
False
Let z(d) = -7*d**3 + 2*d**2 + 3*d + 1. Let w be z(-2). Let s(q) = q**2 - 14*q + 97. Let g be s(7). Suppose n = -2*y + w, -2*n = -y - 45 - g. Does 15 divide n?
False
Suppose -19*y - 2*u + 3452 = -15*y, -4*y + 3*u = -3462. Does 32 divide y?
True
Does 4 divide ((-64)/3)/(60/(-990))?
True
Is 29 a factor of 814/7 - (-10)/(-35)?
True
Suppose -4*z = 4*s - 228, -5*s - 4*z + 288 = -0. Suppose s = 4*u - 24. Is 5 a factor of u?
False
Suppose 2*k + 36 - 78 = 0. Let g = k - 21. Suppose 5*z = 4*p + 7, -3*z = 4*p - g*p - 17. Is 2 a factor of p?
True
Suppose 2*s - 3*d - 28 - 5 = 0, 3*d + 24 = s. Suppose -75 = 5*o + 60. Let k = s - o. Is 18 a factor of k?
True
Let l(u) = u**3 - 15*u**2 + u - 16. Let c be l(15). Is 17 a factor of -2*(2 + c) - -70?
True
Let p(x) = 2*x**2 + 15*x + 3. Let k(f) = 3*f**2 + 15*f + 2. Let z(o) = -3*k(o) + 4*p(o). Is 11 a factor of z(11)?
False
Suppose 2*t - 8 = 4. Suppose -t*z + 285 = -z. Suppose 2*i - 100 = g + 19, -2*g = i - z. Is 17 a factor of i?
False
Let s = -42 + 237. Let l = s + -35. Does 20 divide l?
True
Suppose 2839 + 4361 = 10*b. Is 12 a factor of b?
True
Let a be (-4)/16 + (-2788)/(-16). Suppose 5*m - a = 96. Is m a multiple of 10?
False
Let z(a) = a**2 - a + 2*a + 2 + 5. Suppose 0 = 2*l - l. Is 3 a factor of z(l)?
False
Let l be (-110)/(-33)*(0 + (-3)/(-2)). Suppose 0 = -u + l + 11. Does 7 divide u?
False
Suppose 4 = -3*k + k, 20 = -2*i - 4*k. Let f(w) = 2*w**2 + 8*w + 6. Let p be f(i). Let n = p + -10. Is 7 a fact | {
"pile_set_name": "DM Mathematics"
} |
(5). Let n(j) = 3*j**2 - 22*j + 27. Let p be n(c). What is the remainder when p/10 - 5/(-25) is divided by 7?
1
Suppose -360 = 3074*l - 3107*l + 1455. What is the remainder when ((-6)/(-8))/(1/732) is divided by l?
54
Calculate the remainder when 1230 is divided by 180 - 3*-1*(-14 + 15).
132
Let z = 236 - 148. Calculate the remainder when z is divided by 12.
4
Let p = -5491 - -5523. Calculate the remainder when 767 is divided by p.
31
What is the remainder when 2444 is divided by (-3)/(-21) - ((-16)/28)/((-15)/(-21180))?
23
Let h = 23634 - 23601. Calculate the remainder when 10097 is divided by h.
32
Let a(w) = -w**2 + 62*w - 322. Calculate the remainder when a(49) is divided by 7.
0
Let k = 64 + -11. Let q(p) = 2*p**3 + 119*p**2 - 156*p + 1656. Calculate the remainder when k is divided by q(-61).
8
Suppose -3*y = 5*j - 440, 4*j - 5*y - 265 = 124. Let c = 137 - j. What is the remainder when c is divided by 20/(-6)*(-18)/5?
10
Suppose 4*r + 2*d - 74 - 34 = 0, r - 37 = -3*d. Let g(u) = -35*u + 472. What is the remainder when r is divided by g(13)?
8
Suppose -4*a + 48 = -4. Suppose 0 = -3*d + 5*d + 8, -z + 317 = -3*d. Suppose k - z = -4*k. Calculate the remainder when k is divided by a.
9
Let w = -403 - -443. Calculate the remainder when 638 is divided by w.
38
Suppose 85*j + 2073 = 95*j + 743. Calculate the remainder when j is divided by 84.
49
Suppose 4*z - 10*d = -15*d + 96, 0 = 5*z + 5*d - 110. Calculate the remainder when 2864 is divided by z.
8
Let w(y) = 3*y**2 + 81*y - 560. Suppose 2*s - 13 = 457. What is the remainder when s is divided by w(6)?
31
Let n(s) = -s**2 - 4*s. Let a be n(-2). Suppose -4*o = -3*c + 68, 3*c - a*c + 2*o + 24 = 0. Calculate the remainder when (c/(-35))/(8/(-532)) is divided by 13.
12
Suppose -14*c + 2053 + 6235 = 0. Let f = 645 - c. Suppose -5*j + 7 = -4*j. What is the remainder when f is divided by j?
4
Let d(x) be the second derivative of 4*x**3/3 + 11*x**2/2 - 125*x. Let b(r) = 13*r. Calculate the remainder when b(3) is divided by d(0).
6
Suppose 0*p = 5*p - 165. Let h(w) = -11*w + 4. Let o be h(-13). Let z = o - 138. What is the remainder when p is divided by z?
6
Let z(w) = -w**2 - 49*w + 540. Let k(q) = 17*q + 5. What is the remainder when k(7) is divided by z(9)?
16
Let x(b) = b**2 + 12*b - 165. Let u = 711 + -733. Calculate the remainder when x(u) is divided by 25.
5
Let v(n) = n**3 - 26*n**2 + 28*n - 56. Let y(a) = 3*a**2 - 14*a + 33. Let d be y(4). Calculate the remainder when 73 is divided by v(d).
16
Let z(t) = -143*t - 16535. Calculate the remainder when z(-127) is divided by 181.
178
Suppose 410 = 4*k - 46. Suppose 2*c + c = k. Suppose -4 + 84 = 8*w. Calculate the remainder when c is divided by w.
8
Let b(p) = -p**3 + 11*p**2 + 93*p - 986. What is the remainder when 800 is divided by b(10)?
8
Let k be (-5)/(-20) + 54/8. Suppose -2*l + k*l - 120 = 0. Suppose 3396 - 414 = 71*b. Calculate the remainder when b is divided by l.
18
Suppose 0 = -3*l - 4*d + 324, -d = l - 53 - 54. Calculate the remainder when l is divided by 36.
32
Let i = 1189 + -1195. What is the remainder when (-2)/(-1) + ((-282)/i - -7) is divided by 11/(2*(-2)/(-8))?
12
Suppose -183*h + 32787 = -16443 + 7872. Let w(p) = 9*p + 2. What is the remainder when h is divided by w(4)?
36
Suppose 19*l + 134 = -1006. What is the remainder when 16 is divided by l/10 - (-2 - 5)?
0
Let p(h) = -112*h + 70. Let j be p(-7). Suppose -16 = -4*b, -5*i + 2*i = -b - j. Calculate the remainder when i is divided by 72.
70
Suppose -2333 + 7524 + 17489 = 21*r. Calculate the remainder when r is divided by 528.
24
Let l be ((-6)/10)/(((-40)/(-225))/(-8)). Let r = 88 + l. Suppose -r*f = -120*f + 125. Calculate the remainder when 198 is divided by f.
23
Let s(z) = -8*z**2 - 124*z + 96. Calculate the remainder when 509 is divided by s(-14).
245
Suppose -79*q = o - 84*q - 78, o - 4*q - 77 = 0. What is the remainder when 4523 is divided by o?
70
Suppose -13*a + 4 = -35. Suppose 5*n + 38 = 3*f, n - 30 = -a*f - 2*n. Suppose 0 = -2*c - 3*c + 20. Calculate the remainder when f is divided by c.
3
Suppose 780 = 3*x + 11*h - 8*h, h = 5*x - 1276. Suppose 19*c = 162 + x. Calculate the remainder when c is divided by 20.
2
Let z = 54718 - 54693. Suppose u + 3*u + 4*o = 1052, 0 = -4*o. Calculate the remainder when u is divided by z.
13
Suppose -5*t - 3*g + 6602 = -28950, 4*t - 28447 = 3*g. Suppose t = 5*p + 8*p. Calculate the remainder when p is divided by 11.
8
Let c(o) = 3*o + 5. Let l be (-1 - -4) + 1 + -4. Suppose -3*z = -4*d + 49, 5*d - 44 = -l*d - 2*z. What is the remainder when 136 is divided by c(d)?
31
Let s = -5 - -8. Suppose -400 = s*f + 44. Let b = f - -215. Calculate the remainder when b is divided by 18.
13
Let k(u) = -u - 7. Let f be k(-4). Let d(q) = q**3 + q**2 - 4*q + 8. Let n be d(f). Suppose -4*y + 318 = -n*y. What is the remainder when y is divided by 23?
21
Suppose -40*n = -214*n + 837 + 2469. What is the remainder when 337 is divided by n?
14
Let c be (-4)/6 - (-41496)/63. Suppose 2*k + l - 5*l = 338, -c = -4*k + 2*l. Let w = 74 + -41. Calculate the remainder when k is divided by w.
31
Suppose -4*h = -2*a + 2622, -3315*h - 32 = -3311*h. Calculate the remainder when a is divided by 62.
55
Suppose 6*m - 81 = 3*m. What is the remainder when m is divided by (-90)/(-9 - -3) + 2?
10
Suppose 3*v + 23 = 2*r, -3*r + 2*v = -16 - 11. Let b(i) = i**2 - 2*i + 2. Let p(s) = s**3 + s**2 - 7*s + 19. What is the remainder when b(r) is divided by p(0)?
18
Let b(w) = -3*w - 12. Let s be b(-5). Suppose 9 = s*i - 0. Suppose i - 9 = -2*n. Calculate the remainder when 5 is divided by n.
2
Suppose 2*z + 2*i - 357 = 683, -3*z + 1530 = -2*i. What is the remainder when z is divided by 64?
2
Suppose 5*q - 5879 = -4*p, -5*p + 8962 + 1629 = 9*q. Calculate the remainder when q is divided by 388.
15
Let o = -2 - -10. Suppose s + 24 = p, p - o*s - 34 = -5*s. Calculate the remainder when p is divided by 7.
5
Suppose 0 = -4*v + 3 + 25. What is the remainder when 4/50 + (-341301)/(-2175) is divided by v?
3
Let a = -87 + 95. Let h be ((-500)/a)/((-6)/24). Calculate the remainder when (-4)/(-2)*h/20 is divided by 4.
1
What is the remainder when 9/6*(-569982)/(-369) is divided by 78?
55
Let m = 121 + -146. What is the remainder when 185 is divided by 4/10 + (-765)/m?
30
What is the remainder when (-2)/23 - 103499/(-253) is divided by 128?
25
Calculate the remainder when 851 is divided by (52/(-195))/((-2)/(-36))*-5*3.
59
Suppose -1248 - 2595 = -9*w. Calculate the remainder when w is divided by 414.
13
Suppose -k + 102 = -4*g, 3*k - 226 = -0*k - 4*g. Let o = k - 6. What is the remainder when o is divided by 13?
11
Let d(k) = k**3 - 18*k + 4. Let u = -223 + 219. Calculate the remainder when 20 is divided by d(u).
8
Suppose -38*c + 39*c = l - 1816, -5458 = -3*l + c. Calculate the remainder when l is divided by 15.
6
Calculate the remainder when 16 + (((-12)/9)/2)/(20/210) is divided by 7.
2
Suppose -j = 5*v - 1115, 0 = -32*j + 37*j + 2*v - 5552. What is the remainder when j is divided by 86?
78
Let v = -87 + 183. Let h be (v/(-80))/(3/5 + -1). Suppose h*k - 4*d = 19, -4*d + 12 = -4*k + 40. Calculate the remainder when 44 is divided by k.
8
Let p be 1/3 - 5635/(-15). Suppose p*s = 374*s + 56. What is the remainder when 195 is divided by s?
27
What is the remainder when 28 - -73 - (-1)/(-1)*0 is divided by (-1149)/(-33) + (-155)/55 + 3?
31
What is the remainder when 11624 is divided by ((-2)/4)/(70/(-1540))?
8
Suppose -9*p + 154 = 2*p. Suppose 2*m + k = 9, -3*m + 2*k + 17 = -p. What is the remainder when m is divided by 5?
2
Suppose 13*j + 1666 = 132*j. Calculate the remainder when 3792 is divided by j.
12
Let p(i) = 3*i**2 + 18*i - 362. What is the remainder when 639 is divided by p(-15)?
37
Let f = -314 - -345. Suppose 564 = f*b + 6. Calculate the remainder when 69 is divided by b.
15
Suppose -8*z + 72 + 0 = -0. What is the remainder when 1887 is divided by z?
6
Let i(k) = 343*k + 6896. What is the remainder when 782 is divided by i(-20)?
26
Suppose 0 = 1010*m - 1011*m + 201. Let o = m + -196. What is the remainder when 2/(-4) - (-94)/4 is divided by o?
3
Let o = -24257 + 24812. What is the remainder when o is divided by 138?
3
Suppose 67 + 109 - 32 = 6*l. Calculate the remainder when 791 is d | {
"pile_set_name": "DM Mathematics"
} |
(base 5) to base 9
-5171211
What is -731b4 (base 16) in base 10?
-471476
-7643457 (base 8) to base 9
-3763758
What is -7bce (base 16) in base 5?
-2003234
What is bb5911 (base 12) in base 5?
1230201242
What is 20560352 (base 9) in base 10?
9900839
Convert -22020221 (base 7) to base 14.
-371b11
Convert -6313527 (base 8) to base 13.
-4694c0
Convert 525d2 (base 14) to base 11.
126346
-11374 (base 12) to base 6
-254224
Convert -42101 (base 5) to base 3.
-10210211
-327441 (base 8) to base 3
-12121101202
Convert 2b469 (base 14) to base 10.
107893
-1224243 (base 6) to base 10
-65763
-259032 (base 11) to base 12
-177875
Convert -120130311 (base 4) to base 14.
-286d7
3083156 (base 10) to base 12
1048298
What is 118bff (base 16) in base 6?
40351503
Convert -10504204 (base 8) to base 15.
-2ea882
Convert -4a5c6d (base 14) to base 12.
-a30775
1001100 (base 5) to base 13
7246
Convert 165a82a (base 12) to base 4.
101203110202
What is 1101110001000111010100 (base 2) in base 7?
42450665
What is -113434300 (base 5) in base 6?
-15212211
5316620 (base 8) to base 13
3a7a28
Convert -1010101110100000101001 (base 2) to base 6.
-140134133
Convert -22653025 (base 7) to base 10.
-1996279
-cb834 (base 13) to base 11
-231783
What is 513125 (base 8) in base 2?
101001011001010101
Convert -5055699 (base 12) to base 11.
-8545216
Convert -122220330 (base 4) to base 6.
-2201100
What is -220212220000 (base 3) in base 6?
-14255343
Convert 316981 (base 10) to base 9.
532731
What is 1c8d64 (base 14) in base 9?
1828755
What is 220021102022200 (base 3) in base 10?
12900618
What is 319366 (base 10) in base 3?
121020002101
Convert -1220220102000 (base 3) to base 10.
-1021626
What is 1011054243 (base 6) in base 7?
154332621
221055 (base 7) to base 15
b769
a5a4b5 (base 15) to base 3
112211102122122
What is -12202122000 (base 3) in base 14?
-2d4bc
Convert 122313020 (base 5) to base 12.
2446a6
1708c8 (base 15) to base 8
4203132
445108 (base 10) to base 6
13312404
-4b015 (base 13) to base 15
-2b039
129ae8 (base 15) to base 13
2538a4
-1534035 (base 8) to base 4
-1223200131
What is 22304354 (base 9) in base 3?
202100011101211
What is -16703 (base 15) in base 2?
-10001101100000101
Convert -202122111002 (base 3) to base 9.
-678432
What is 3626500 (base 7) in base 16?
7085e
-1001110000101010011 (base 2) to base 16
-4e153
-5264203 (base 9) to base 5
-1210132000
-1021043044 (base 5) to base 6
-113335215
What is 52119 (base 11) in base 5?
4413013
What is -1d32d5 (base 15) in base 11?
-8960a2
Convert 7052a9 (base 14) to base 5.
1431412104
What is -222120202 (base 3) in base 13?
-8a89
Convert -102742 (base 12) to base 9.
-425465
-1030827 (base 9) to base 2
-10000110101101110101
What is -214b1c6 (base 13) in base 5?
-10100214103
13301231 (base 4) to base 16
7c6d
Convert 10210102001002 (base 3) to base 10.
2015714
1100001101000110101110 (base 2) to base 15
432e8b
Convert -6881 (base 16) to base 10.
-26753
What is -134230221 (base 5) in base 6?
-22524434
1121124 (base 6) to base 3
2220120221
1939058 (base 13) to base 14
1155423
57057a (base 15) to base 11
2386911
222222002012 (base 3) to base 6
15213135
What is -1a99b7 (base 14) in base 11?
-598779
What is -14422051 (base 6) in base 3?
-221102212011
ae13e (base 16) to base 11
447782
36bd6 (base 16) to base 6
4450010
Convert 44351444 (base 6) to base 14.
26b12c
-334732 (base 8) to base 10
-113114
-13003201203 (base 4) to base 9
-3427856
What is 110010211120220 (base 3) in base 8?
30473110
Convert 12320223210 (base 4) to base 5.
430230103
What is 408081 (base 12) in base 6?
33344241
Convert -2142113 (base 6) to base 7.
-623136
2162140 (base 7) to base 16
4140a
What is -648605 (base 9) in base 14?
-a0dad
1565076 (base 8) to base 15
8e422
Convert -31b65 (base 13) to base 9.
-146182
Convert -21145215 (base 6) to base 9.
-1145332
-2103223010 (base 4) to base 6
-20544152
610540 (base 7) to base 12
4baa4
Convert -10110000001101000111000 (base 2) to base 9.
-11770242
-133103320230 (base 4) to base 3
-120110000010220
What is 154215502 (base 6) in base 4?
30201300332
Convert 210021221001220 (base 3) to base 11.
642a132
What is 2002021012 (base 3) in base 14?
10d3c
What is 23211413 (base 5) in base 2?
110011010100111001
What is 20002031023 (base 4) in base 13?
589885
Convert -113343130 (base 5) to base 11.
-3306a3
Convert -11001000211220 (base 3) to base 10.
-2146065
330022331 (base 4) to base 8
741275
101210101200 (base 3) to base 4
303313023
Convert 406226 (base 10) to base 5.
100444401
-159b6 (base 14) to base 11
-37686
-19db1 (base 14) to base 16
-10117
112220320200 (base 4) to base 2
10110101000111000100000
What is 3111333110 (base 4) in base 2?
11010101111111010100
What is -414606 (base 7) in base 11?
-4962a
What is 12212100001 (base 3) in base 8?
341342
-22005402 (base 6) to base 16
-9fc4a
Convert -18353 (base 14) to base 10.
-61029
430021 (base 7) to base 14
1d1b8
What is 192c24 (base 14) in base 13?
2529a4
Convert -215223 (base 11) to base 12.
-146a69
What is 253796 (base 10) in base 12?
102a58
Convert -12201233302 (base 4) to base 2.
-110100001101111110010
-314515 (base 7) to base 2
-1101010010110011
66e17a (base 16) to base 12
2311a22
111110000011010011111 (base 2) to base 10
2033311
Convert -6bca7 (base 15) to base 6.
-11211204
Convert -3866147 (base 10) to base 2.
-1110101111111000100011
-1104441550 (base 6) to base 11
-6843270
What is 175525 (base 10) in base 2?
101010110110100101
What is 13112112002 (base 4) in base 10?
1926530
What is -1336553 (base 10) in base 3?
-2111220101222
Convert -575759 (base 10) to base 15.
-b58de
-5244010 (base 6) to base 9
-427566
What is 3322733 (base 9) in base 6?
102143303
Convert -4395a (base 12) to base 16.
-15d96
Convert -20123440 (base 5) to base 2.
-100111010101100000
Convert 1010000010000111 (base 2) to base 13.
15922
Convert -250d87 (base 14) to base 3.
-2101112122200
Convert -20310505 (base 6) to base 4.
-2032233221
-100133134 (base 5) to base 10
-396044
1102245145 (base 6) to base 12
3b867b5
135676 (base 12) to base 7
2503536
1112031011 (base 4) to base 2
1010110001101000101
What is -38433 (base 16) in base 13?
-80b80
-122531 (base 6) to base 7
-44032
What is -3a734d (base 16) in base 12?
-1348951
Convert -151728 (base 9) to base 7.
-535436
What is 111201223 (base 4) in base 15?
1b1d1
Convert 338426 (base 10) to base 2.
1010010100111111010
What is -2b196 (base 12) in base 14?
-181c6
Convert 37cc5 (base 14) to base 12.
67331
Convert 59a61 (base 12) to base 2.
11101011110101001
What is 10101221100 (base 3) in base 2?
10000010111001111
What is 86298 (base 15) in base 3?
210122010222
What is 11002012112001 (base 3) in base 11?
1251799
What is -22241866 (base 9) in base 10?
-10774599
What is -a67437 (base 12) in base 9?
-4841387
-17873 (base 16) to base 13
-34b32
What is -111111011010011000 (base 2) in base 7?
-2131151
Convert -41722 (base 13) to base 9.
-188344
Convert -2325374 (base 8) to base 14.
-126c8c
1598b6c (base 13) to base 3
111002121010011
22bc7 (base 16) to base 9
236147
Convert 12133232 (base 4) to base 12.
13492
What is 1110210121110 (base 3) in base 5?
200032030
Convert -25141232 (base 6) to base 12.
-32a818
Convert -22210013 (base 5) to base 4.
-233131033
-20223113 (base 7) to base 2
-110011011110000111110
Convert aa51a (base 16) to base 9.
1272860
101011110101110111010 (base 2) to base 10
1436602
What is -321034211 (base 6) in base 3?
-101122001121221
What is 6716155 (base 8) in base 13?
4b4828
-488150 (base 9) to base 7
-2335005
What is -46ab8 (base 12) in base 3?
-11211011112
-236164640 (base 7) to base 12
-4b29648
1000010111100001010 (base 2) to base 8
1027412
Convert -101011011100001100111 (base 2) to base 7.
-15046016
-10010101011001011111 (base 2) to base 5
-124040220
1022101000202121 (base 3) to base 16
11ed4fd
7566710 (base 10) to base 16
737576
-325868 (base 9) to base 15
-3c9ee
What is -31021330330 (base 4) in base 7?
-41212222
Convert 33fb7 (base 16) to base 4.
303332313
Convert 2a87c1 (base 13) to base 3.
1222012100221
779574 (base 11) to base 12
4bb065
Convert 57663 (base 11) to base 7.
464623
Convert -256202 (base 15) to base 14.
-3493b3
103000332 (base 4) to base 14
20554
What is 30011013120 (base 4) in base 9?
5855773
11100201021220 (base 3) to base 16
235aaf
Convert -30441250 ( | {
"pile_set_name": "DM Mathematics"
} |
3 rounded to the nearest ten thousand?
32970000
What is 0.00000109178052 rounded to 7 dps?
0.0000011
Round -935558.47 to the nearest one hundred.
-935600
Round -267504.73 to the nearest 1000.
-268000
Round -908.765667 to the nearest 10.
-910
What is -0.0070813244 rounded to 5 decimal places?
-0.00708
Round 2691486.016 to the nearest 100.
2691500
Round 101.6697157 to 1 decimal place.
101.7
Round 0.00201741885 to 7 dps.
0.0020174
What is -35.012527 rounded to the nearest ten?
-40
Round -0.00014876947 to six decimal places.
-0.000149
What is 0.00088144713 rounded to 7 decimal places?
0.0008814
Round 0.0081156228 to 5 dps.
0.00812
What is -48611177.2 rounded to the nearest 1000?
-48611000
What is -1314701170 rounded to the nearest one million?
-1315000000
What is -574.24155 rounded to one dp?
-574.2
What is 0.0032591086 rounded to 4 decimal places?
0.0033
What is -3985.545061 rounded to one decimal place?
-3985.5
What is 1.158770878 rounded to 3 dps?
1.159
What is -1031197.3 rounded to the nearest ten thousand?
-1030000
Round -0.00316601374 to 3 dps.
-0.003
What is -217406.077 rounded to the nearest 1000?
-217000
Round 230537.64 to the nearest one hundred thousand.
200000
Round 0.00000343315948 to 7 dps.
0.0000034
What is -48.439971 rounded to the nearest integer?
-48
What is -20925.706118 rounded to the nearest ten?
-20930
Round 105193566.7 to the nearest one hundred thousand.
105200000
What is 213616.547 rounded to the nearest 100?
213600
Round -459457804 to the nearest 1000000.
-459000000
Round -11.91267316 to 1 dp.
-11.9
What is 0.0000834865085 rounded to six decimal places?
0.000083
Round -265532803 to the nearest one million.
-266000000
What is 2761.55257 rounded to 0 dps?
2762
What is 73450.635 rounded to the nearest ten thousand?
70000
What is -432898207 rounded to the nearest ten thousand?
-432900000
What is 37182.653 rounded to the nearest 10?
37180
What is 16759126.3 rounded to the nearest 1000?
16759000
What is -1004.66886 rounded to 1 decimal place?
-1004.7
What is -0.000037342965 rounded to 7 decimal places?
-0.0000373
What is 0.00065126267 rounded to five decimal places?
0.00065
What is 24.68156355 rounded to 3 dps?
24.682
What is 8056.564 rounded to the nearest one thousand?
8000
What is 3495237.526 rounded to the nearest one hundred thousand?
3500000
What is 269.5234462 rounded to one dp?
269.5
Round 179599244 to the nearest ten thousand.
179600000
Round 2011.79184 to 1 decimal place.
2011.8
Round 2.231626702 to 4 decimal places.
2.2316
Round -708058.7313 to the nearest one thousand.
-708000
What is 0.0000475090754 rounded to 7 decimal places?
0.0000475
Round 105446985700 to the nearest one million.
105447000000
What is -0.0003193751177 rounded to 4 decimal places?
-0.0003
Round -0.3611401 to one dp.
-0.4
Round 74.788979 to one decimal place.
74.8
What is 174705.32175 rounded to the nearest ten?
174710
What is -69.81755934 rounded to two dps?
-69.82
Round 4216392.08 to the nearest 100.
4216400
What is 0.0000809501057 rounded to seven dps?
0.000081
What is 435582.27 rounded to the nearest 10000?
440000
What is -335247.4424 rounded to the nearest 100000?
-300000
What is 1813932.54 rounded to the nearest 100?
1813900
Round -269057.4771 to the nearest 100.
-269100
What is -54038527700 rounded to the nearest 1000000?
-54039000000
Round -5431.0677 to the nearest one hundred.
-5400
What is -5.17868874 rounded to 3 decimal places?
-5.179
What is 64013276 rounded to the nearest 10000?
64010000
What is -4.014238094 rounded to the nearest integer?
-4
Round -8902.43514 to the nearest one hundred.
-8900
What is 0.00791406833 rounded to 7 decimal places?
0.0079141
What is -1051223712 rounded to the nearest one hundred thousand?
-1051200000
What is 0.00065238027 rounded to 7 dps?
0.0006524
What is 0.0129925031 rounded to 3 dps?
0.013
Round -299892040 to the nearest 1000000.
-300000000
What is 0.00156958347 rounded to 7 dps?
0.0015696
What is -0.0032204318 rounded to four dps?
-0.0032
Round 1256.2650219 to 2 dps.
1256.27
What is 15.0355316 rounded to 0 decimal places?
15
What is 391.5757604 rounded to the nearest ten?
390
What is 7696638.8 rounded to the nearest one hundred thousand?
7700000
Round -17857178.09 to the nearest ten thousand.
-17860000
Round 935.81521 to zero dps.
936
Round -0.00004037905328 to 6 decimal places.
-0.00004
Round 70888318.1 to the nearest ten thousand.
70890000
Round 3689007 to the nearest ten thousand.
3690000
Round -0.121724401 to five decimal places.
-0.12172
What is 1.47792893 rounded to two decimal places?
1.48
Round -0.0122500266 to 3 dps.
-0.012
What is 5912286.9 rounded to the nearest one million?
6000000
What is 0.00019426532 rounded to 5 decimal places?
0.00019
What is 4.206259009 rounded to 2 dps?
4.21
What is -0.006655528227 rounded to seven decimal places?
-0.0066555
Round 67.1647535 to two dps.
67.16
What is 0.0009095372 rounded to five decimal places?
0.00091
Round -2289604.529 to the nearest ten.
-2289600
What is -0.00033247251 rounded to 5 dps?
-0.00033
Round 15.86915201 to 2 dps.
15.87
Round 0.00185392791 to 5 dps.
0.00185
What is 45.4224001 rounded to the nearest 10?
50
Round -127515.3166 to the nearest 10.
-127520
What is 32.123554 rounded to two dps?
32.12
What is 0.00000118392528 rounded to seven dps?
0.0000012
What is -0.05951049 rounded to five dps?
-0.05951
What is 556938570 rounded to the nearest one hundred thousand?
556900000
What is 2.4421114648 rounded to five decimal places?
2.44211
Round 2.371156463 to five decimal places.
2.37116
What is 1190658.801 rounded to the nearest 100?
1190700
What is -5.750136 rounded to one decimal place?
-5.8
Round 3596.225299 to the nearest ten.
3600
What is 0.88896653 rounded to 4 decimal places?
0.889
Round -4381345.086 to the nearest 1000000.
-4000000
What is -5952534.055 rounded to the nearest 100?
-5952500
Round 0.12159147549 to 5 dps.
0.12159
Round 0.00258941107 to 4 dps.
0.0026
What is -0.00000742785661 rounded to 6 decimal places?
-0.000007
What is 42455.76057 rounded to the nearest 100?
42500
What is 940551.7349 rounded to the nearest ten thousand?
940000
Round 220.535938 to 0 dps.
221
What is 15942276.321 rounded to the nearest 100000?
15900000
Round -10404.9956 to the nearest 10000.
-10000
Round 0.123565917 to two dps.
0.12
What is -361926.35 rounded to the nearest one hundred?
-361900
Round -16.7869585 to two dps.
-16.79
What is 3890392.18 rounded to the nearest 1000?
3890000
Round -0.45950543 to 4 decimal places.
-0.4595
What is -0.00000686953386 rounded to 7 decimal places?
-0.0000069
What is -0.0075546341 rounded to six dps?
-0.007555
What is 60943513 rounded to the nearest 1000000?
61000000
Round -18.0519973 to one decimal place.
-18.1
What is -0.0000767633543 rounded to 6 decimal places?
-0.000077
Round 1711.81351 to the nearest ten.
1710
Round 0.03334121703 to five decimal places.
0.03334
What is -722581.174 rounded to the nearest 100000?
-700000
What is 33514.822 rounded to the nearest ten thousand?
30000
What is 20414.05364 rounded to the nearest 1000?
20000
Round 18589050.5 to the nearest 100000.
18600000
What is 977.168219 rounded to two dps?
977.17
Round -478650.547 to the nearest 10000.
-480000
Round 0.00001264303626 to 7 decimal places.
0.0000126
What is 0.121388356 rounded to 2 dps?
0.12
What is -1755.746095 rounded to the nearest one hundred?
-1800
Round -0.00015842243169 to seven decimal places.
-0.0001584
Round 104063.0229 to the nearest ten.
104060
What is -0.15540417 rounded to 2 decimal places?
-0.16
What is 0.0411915261 rounded to 3 decimal places?
0.041
Round -261347.162 to the nearest ten thousand.
-260000
Round -78567.8062 to the nearest 10.
-78570
Round -0.000114536258 to seven decimal places.
-0.0001145
What is -5093.0996 rounded to the nearest ten?
-5090
What is -0.072498634 rounded to 2 dps?
-0.07
Round -422227.892 to the nearest 1000.
-422000
What is -0.000030752035 rounded to six decimal places?
-0.000031
Round -236330.0414 to zero dps.
-236330
Round 510.84208 to 0 dps.
511
Round 133355.8815 to the nearest 1000.
133000
What is -83153446.94 rounded to the nearest 100000?
-83200000
What is -23476.7195 rounded to the nearest 100?
-23500
Round 0.0184677113 to five decimal places.
0.01847
Round 0.0015731089 to 4 decim | {
"pile_set_name": "DM Mathematics"
} |
econd derivative of j**4/12 + 5*j. Let o(s) = 5*s**2. Determine 2*o(v) - 9*y(v).
v**2
Let j(u) = 2*u**3 + 6*u**2 + u. Let p(m) be the third derivative of m**6/60 + 7*m**5/60 + m**4/24 - 10*m**2. Determine 5*j(i) - 4*p(i).
2*i**3 + 2*i**2 + i
Let x(q) = -540*q**3 + 99*q**2 - 99*q + 99. Let a(d) = 11*d**3 - 2*d**2 + 2*d - 2. Calculate -99*a(c) - 2*x(c).
-9*c**3
Let c(z) = 6*z + 5. Let j(y) = -y - 1. Let b be 2 - (0 - (-32)/4). Calculate b*c(q) - 30*j(q).
-6*q
Let q(a) = -a + 1. Let o(c) be the second derivative of c**3/6 - 2*c**2 - c. Let t = 234 + -238. What is t*q(j) - o(j)?
3*j
Let p(m) = -2*m**3 + 3*m**2 - m + 1. Let g(h) = -h**3 + h**2 + 1. Suppose -5*k - 12 = -4*i + 3, -2*k + 2 = 0. Suppose 0 = -i*l - 0 - 5. What is l*p(q) + 3*g(q)?
-q**3 + q + 2
Let p(r) = 13*r**2 - 5. Let o(h) = -168*h**2 + 64. What is -5*o(s) - 64*p(s)?
8*s**2
Let f(j) = -25*j**2 + 20*j - 3. Let m(c) = -7 + 26*c - 50*c**2 + 5*c + c + 9*c. Let q(y) = 7*f(y) - 3*m(y). Let r(h) = 3*h**2 - 2*h. Give 6*q(b) + 51*r(b).
3*b**2
Let s(d) = -4*d**2 - 5*d + 1. Let p(u) = -3*u**2 - 4*u + 1. Give 7*p(h) - 6*s(h).
3*h**2 + 2*h + 1
Suppose 0 = 5*g - f - 24, -3*f + 8 = 2*g - g. Let m(s) = 3*s - 1. Let i(w) = -5*w + 1. Determine g*i(c) + 8*m(c).
-c - 3
Let p(u) = -7*u**3 + 5*u**2 + 5*u + 5. Let d(a) = -20*a**3 + 14*a**2 + 14*a + 14. Calculate 5*d(v) - 14*p(v).
-2*v**3
Let q(l) = -l**3 + l**2. Let n(k) = 5*k**3 - 4*k**2 - 1. Determine -n(x) - 3*q(x).
-2*x**3 + x**2 + 1
Let x(l) = l**2 + 4*l + 4. Let u be x(-4). Let c(b) = 6*b - 4. Let k(d) = 507*d - 5 - 502*d + 2. Determine u*k(i) - 3*c(i).
2*i
Let p(s) = 3*s + 5. Let f(z) = 6*z + 11. Suppose q + 2 = u + 1, 0 = -2*u - q + 11. Suppose -4*m + 32 = -u. Calculate m*p(n) - 4*f(n).
3*n + 1
Suppose 2*r = -2*r. Let n(z) = -1 - z - z**2 + r + 2*z. Suppose 4*k = -5*m - 14, 2*m + 2 = -2*k + 4*k. Let i(a) = -4*a**2 + 2*a - 1. Calculate m*n(l) + i(l).
-2*l**2 + 1
Let u = -11 + 15. Suppose z - 90 = -u*z. Let b(m) = 5*m - 4. Let g(n) = -6*n + 2*n + 9*n - 1 - 4*n. Calculate z*g(r) - 4*b(r).
-2*r - 2
Let u(y) = -1. Let c(s) = s**2 - 4. Let i = -1 + -9. Let o be ((-4)/i)/((-3)/(-15)). Calculate o*u(a) - c(a).
-a**2 + 2
Let t(y) = 12*y - 7. Let n(q) = q. Let v(j) = 5*n(j) - t(j). Let a(i) = 3*i - 3. Let p = 90 - 81. Calculate p*a(b) + 4*v(b).
-b + 1
Suppose g - 6*g = -2*y - 293, 2*g - 115 = 3*y. Let z = -41 + g. Suppose 4*u - u + z = 0. Let r(l) = -4*l + 3. Let d(h) = -15*h + 11. What is u*d(c) + 22*r(c)?
2*c
Let n(w) = -5*w**3 + 4*w**2 + 4*w + 4. Let j(i) = -i**3 - i**2 - i - 1. Determine -4*j(l) - n(l).
9*l**3
Let k(q) = 2*q - 2. Suppose -5 = 4*t - 13. Let x(j) = -j**3 + 3*j - 3. Determine t*x(y) - 3*k(y).
-2*y**3
Let d be (-30)/(-7) + (-8)/28. Let y(k) = -6*k**2 - k. Let w be 6/(-4) - (-26)/4. Let s(l) = 169*l + 0*l**2 + 7*l**2 - 168*l. Determine d*s(o) + w*y(o).
-2*o**2 - o
Let q(l) = l**2 - 1. Let n(k) = -k**3 + 2*k**2 - 2. Let c(f) = -f**2 + 7*f - 5. Let d be c(5). Let o = d + -2. Determine o*q(s) - n(s).
s**3 + s**2 - 1
Let p = -35 - -30. Let h(r) = 5*r + 4. Let n(b) = -1 + 3 + 4*b + 1. What is p*h(c) + 6*n(c)?
-c - 2
Let z = 0 - -1. Let l(c) = 1 - 2*c - z. Let j(w) = -8*w + 7 + 5 - 13. What is 2*j(v) - 9*l(v)?
2*v - 2
Let a(w) = 8*w - 17. Let j(m) = -m + 2*m + 0 - 1 - 1. What is 6*a(c) - 51*j(c)?
-3*c
Let f(r) = 1. Let t(n) = 2*n + 3. Let m be 6/(-18)*(-4 - -1). Suppose 0 = 2*l - 3*i + 17, 4*i + m = -2*l + 5. What is l*f(a) + t(a)?
2*a - 1
Let i(h) = -14*h**2 - 12*h + 12. Let l(t) = -t + 1. What is -i(w) + 12*l(w)?
14*w**2
Let k(p) = -p. Let u(v) = -5*v + 1. Let b(y) = -6*k(y) + u(y). Let l(r) = 2*r + 6. Determine -6*b(i) + l(i).
-4*i
Suppose -4*g = 13 - 37. Let c(y) = -4*y**2 + 8*y + 1. Let m(t) = 9*t**2 - 17*t - 2. Let f be -2*((-66)/2)/3. Suppose -f - 43 = -5*d. What is d*c(x) + g*m(x)?
2*x**2 + 2*x + 1
Let r(w) = -3*w**3 + 2*w - 1. Let s(y) = -4*y**3 + y**2 + 3*y - 2. Calculate -3*r(g) + 2*s(g).
g**3 + 2*g**2 - 1
Suppose -3*c + 4 = -2. Let b(j) = -3*j + j**2 + 4*j + 1 - c*j. Let f(t) = 3*t**2 - 4*t + 4. Let w = 4 + -3. Give w*f(k) - 4*b(k).
-k**2
Let h(f) = 3*f - 2. Let u(a) = -a. Give h(n) + 2*u(n).
n - 2
Let v(q) = -4 - q**2 - 3*q + 3 + 4*q. Let t(l) be the third derivative of -1/6*l**4 + 0*l + 0 + 2/3*l**3 + 1/12*l**5 + l**2. Determine -t(d) - 4*v(d).
-d**2
Let n(j) = -5*j**2 + j + 2. Let a(b) = -4*b**2. Let d(l) = l**2. Let p(h) = a(h) + 5*d(h). What is -n(m) - 3*p(m)?
2*m**2 - m - 2
Let a(m) = 15*m**3 - 3. Let p(o) = 180*o**3 - 35. What is 35*a(w) - 3*p(w)?
-15*w**3
Let k(o) be the second derivative of o**3/6 - o**2/2 + 3*o. Let z(s) = 4*s - 4. Let m(y) = 5*y - 5. Let i(c) = -4*m(c) + 3*z(c). What is -i(f) - 10*k(f)?
-2*f + 2
Let d(b) = 2*b - 5. Let m(a) = -a**3 - 6*a**2 + a + 10. Let l be m(-6). Let v(t) = -l*t + 5*t - 4*t + 8. Calculate 8*d(x) + 5*v(x).
x
Let f(g) = -7*g**3 + 4*g**2 + 4*g + 3. Let x(m) = -15*m**3 + 9*m**2 + 9*m + 6. What is 9*f(n) - 4*x(n)?
-3*n**3 + 3
Let s(x) = -x**2 - x - 1. Let d(l) = -4*l**3 + l**2 - l + 2. Give -d(r) - 3*s(r).
4*r**3 + 2*r**2 + 4*r + 1
Suppose -i = i - 6. Let j(w) = -2*w - 3*w + 2*w + i + 5*w. Let s(c) = -3*c - 5. Calculate -5*j(p) - 3*s(p).
-p
Let w be (3/3 + -2)*-2. Let b(p) = 0*p + 1 + 3*p**2 - p + 4 - 5*p**w. Let v(f) = 1. Give -b(s) + 3*v(s).
2*s**2 + s - 2
Let i(u) = 4*u**3 - 5*u**2 + 5*u + 5. Let j(g) = 2*g**3 - 2*g**2 + 2*g + 2. Let z be (0 + 0 + 1)/(1/(-2)). Determine z*i(n) + 5*j(n).
2*n**3
Let y(n) = 56*n**2 - 70. Let x(d) = d**2 - 1. Determine 70*x(q) - y(q).
14*q**2
Let k(g) = -8*g**2 + 10*g. Let w(h) = -h**2 + h. Suppose -3*d = -r - 60, 3*d - 3*r = 7*d - 80. Give d*w(c) - 2*k(c).
-4*c**2
Let i(q) = 9*q**2 + 5. Let j(y) = 5*y**2 + 2. What is 3*i(g) - 5*j(g)?
2*g**2 + 5
Let l(v) = -6*v**2 + 4. Let n(t) = -t**2 + t + 1. Suppose 0 = 3*o - 19 + 31. What is o*n(s) + l(s)?
-2*s**2 - 4*s
Let c(k) = 1 - k**2 + 6*k - 4*k - k. Suppose 14*a + 60 = 17*a. Let u = a - 14. Let n(h) = 8*h**2 - 6*h - 5. Give u*c(i) + n(i).
2*i**2 + 1
Let k(c) = -7*c**3 + 3*c**2 + 5*c - 2. Let t(r) = 3*r**3 - r**2 - 2*r + 1. Let s(g) = -27*g + 2. Let o be s(-4). Let d be 2/4*o/11. Give d*t(v) + 2*k(v).
v**3 + v**2 + 1
Let y(b) = -b**3 - b**2 + 2. Let a be y(0). Let r(x) = 17*x**3 - 17*x**2 - 9. Let l(q) = 4*q**3 - 4*q**2 - 2. What is a*r(i) - 9*l(i)?
-2*i**3 + 2*i**2
Let w(p) = 6*p + 1. Let b(x) = -13*x - 3. Let k(v) = -2*b(v) - 5*w(v). Let m(c) = -c. Let a be 126/14 - 1*3. Calculate a*m(z) - 2*k(z).
2*z - 2
Let t(a) = 2*a**2 + 2*a + 1. Let c(n) = n**3 + n**2 + n. Let l = 13 - 11. Suppose -5*r + 21 = 2*v + l*v, 2*v = -r + 3. Calculate v*t(d) + 2*c(d).
2*d**3 - 1
Let x(y) = -2*y + 11. Let j(p) = -p**3 + 11*p**2 - 9*p - 4. Let c be j(10). Let r(v) = v - 6. Determine c*x(n) + 11*r(n).
-n
Let c(f) = -41*f**3 + 3*f**2 + 3. Let v(r) = -42*r**3 + 2*r**2 + 2. Determine -4*c(o) + 6*v(o).
-88*o**3
Let d(v) = 1. Let a(j) be the first derivative of 2*j**3/3 - 3*j - 7. Give a(q) + 3*d(q).
2*q**2
Let z(b) = b**2 - 2*b + 2. Let k(c) = c**2 - c + 1. Let a = 34 - 36. Calculate a*z(f) + 4*k(f).
2*f**2
Let u(g) = -1 - 1355*g**2 + 4*g + 1 + 1346*g**2. Let c(x) = -4*x**2 + 2*x. Determine 5*c(d) - 2*u(d).
-2*d**2 + 2*d
Let r(z) = -13*z**3 - 21*z**2 - z. Let v(w) = 3*w**3 + 5*w**2. Let j be (-18)/(-8) - (-1 - (-25)/20). Give j*r(h) + 9*v(h).
h**3 + 3*h**2 - 2*h
Let b = 2 + -1. Let h(q) = -5*q**2 - q + 3. Let c(o) = -o**2 + 0 - 5 + o + 6. Let v(u) = -2*c(u) + h(u). Let p(y) = y**3 + y**2 + y - 1. Give b*p(l) + v(l).
l**3 - 2*l**2 - 2*l
Let r(f) = f + 3. Let n = -8 - -15. Let l(v) = -4*v - 10. Determine n*r(c) + 2*l(c).
-c + 1
Let k(y) = 2*y**3 + y - 2. Let d(t) = t - 1. Calculate -3*d(j) + k(j).
2*j**3 - 2*j + 1
Let u(i) = 4*i - 3 - i - 5*i. Let m(q) = -11 + 19 - q - 10. Give -4*m(g) + 3*u(g).
-2*g - 1
Suppose -i = 2*i - 4*z - 28, 0 = -4*z - 16. Let k(l) = -5*l**3 - 11*l**2 + 20*l + 11. Let d(j) = -2*j**3 - 4*j**2 + 7*j + 4. Determine i*k(m) - 11*d(m).
2*m**3 + 3*m
Let m(c) = c - 9. Let i(a) be the second derivative of -2*a**3/3 - a**2 - a. Let k(j) be the first derivative of i(j). Determine 5*k(n) - 2*m(n).
-2*n - 2
Let i(c) = c**2 - 4*c - 1. Let n = 2 - 11. Let s = -2 - n. Suppose -2*j + s = t, 2*t - 5 + 3 = 0. Let u(g) = g**2 - 2*g - 1. What is j*i(m) - 5*u(m)?
-2*m**2 - 2*m + 2
Let b(o) = 3*o**3 - 5*o - 6. Let m(g) = 2. Let l(d) = d + | {
"pile_set_name": "DM Mathematics"
} |
= 1590*r - 4171*r - 601*r + 459073 for r.
83
Solve 3295*p = -114209 + 58002 - 220573 for p.
-84
Solve 2842*r + 3289 + 3665 = 3151*r - 2007 for r.
29
Solve -6304*g - 55685 = -93950 + 593017 for g.
-88
Solve -688322 = -7645*g - 3381*g + 390598 + 23680 for g.
100
Solve -1971*p = -1935*p - 1388 + 63 - 43 for p.
38
Solve 255*h + 208*h - 5579 - 5842 = 8488 for h.
43
Solve -364 = 2840*u - 5637*u + 2849*u for u.
-7
Solve 0 = -19933*g + 22922*g - 86681 for g.
29
Solve 6915 = 2069*q - 805*q - 113165 for q.
95
Solve -48*m + 5304 = -m + 89*m for m.
39
Solve 0 = 5347*q - 51344 - 349561 + 5227 for q.
74
Solve 1140*j + 2807*j = 43417 for j.
11
Solve 8*f - 2335 - 833 + 192 = -54*f for f.
48
Solve 44561 + 34207 = -1137*i - 1051*i for i.
-36
Solve -224*r - 125486 + 96814 = 0 for r.
-128
Solve 547632 = -937*k + 512026 for k.
-38
Solve -268*s = 415*s + 376*s - 384*s - 6750 for s.
10
Solve 7856 = 50*i + 8056 for i.
-4
Solve -20300 = 90289*h + 90419*h - 180883*h for h.
116
Solve 0 = 24478*g + 11550*g + 3242520 for g.
-90
Solve 725*t - 814*t = -3916 for t.
44
Solve 617435*m - 617439*m = -80 for m.
20
Solve 1793 = 306*g - 46*g + 881 - 2728 for g.
14
Solve -1067802*t = -1068528*t - 726 for t.
-1
Solve -2458*a = -14826*a - 75991 - 134252 - 185533 for a.
-32
Solve -77*a + 479*a - 1005 + 8829 = -7854 for a.
-39
Solve 330*n = 698*n - 336*n + 480 for n.
-15
Solve 5203*a + 1724*a = 96978 for a.
14
Solve -1590*m - 2103*m - 10142 = -288*m + 20503 for m.
-9
Solve -14654453*s - 8190 = -14654558*s for s.
78
Solve -22441*h - 505 + 828 + 953 = -22499*h for h.
-22
Solve 1056*g - 36062 = -807*g + 326*g + 150*g for g.
26
Solve 3826*d + 3839*d + 459900 = 0 for d.
-60
Solve 626 + 337 + 5134 = 91*y for y.
67
Solve 0 = -7611*p - 9451*p - 750728 for p.
-44
Solve -11408 = 1702*j + 1512*j - 3398*j for j.
62
Solve -808*i = 1536*i - 91416 for i.
39
Solve -4972 - 1436 = 267*k for k.
-24
Solve -185*c = -1219 + 10839 for c.
-52
Solve 240*n + 27665 = -1934*n + 82015 for n.
25
Solve 8147*w + 8049*w - 102627 = 7605*w - 6070*w for w.
7
Solve -535764*w + 535653*w = -5439 for w.
49
Solve -390*m + 2421 = -2590 + 5729 + 19172 for m.
-51
Solve 4316 = 25*y + 3541 for y.
31
Solve 2449*z - 2601 + 9049 = -29451 - 3285 for z.
-16
Solve -5095394 = -32*j - 5091906 for j.
109
Solve 417*v = -2084*v + 374*v - 201*v + 44232 for v.
19
Solve -831*x = 37*x + 537*x - 67440 for x.
48
Solve -96*t - 540*t = 629*t + 258*t - 102041 for t.
67
Solve -23*m + 446*m + 126*m + 35882 = 83*m for m.
-77
Solve 141*r + 215711 = 218954 for r.
23
Solve 88405 + 149411 - 24042 = 2607*y for y.
82
Solve 0 = -216*n + 45748 - 37108 for n.
40
Solve 129*c + 1983 - 1267 - 5096 = 494*c for c.
-12
Solve -358*y + 5609 + 5200 = -3642 - 2017 for y.
46
Solve -77*r - 3*r - 466 - 974 = 0 for r.
-18
Solve -1177*t + 5334 = 51237 for t.
-39
Solve -5*w + 15 + 220 = 26 - 71 for w.
56
Solve -3454670*c = -3454864*c - 13580 for c.
-70
Solve -5396*f + 1370*f - 194355 - 23255 = -32414 for f.
-46
Solve -12735*y = -14929 + 16517 - 20764 - 69969 for y.
7
Solve 3831*k - 7618*k + 1482 = -3844*k for k.
-26
Solve 8222 = -306*l + 681*l - 294*l + 608 for l.
94
Solve -472*l = 144*l + 262*l - 42144 for l.
48
Solve 20629*g - 1221 = 41309*g - 20643*g for g.
-33
Solve 25783 = -358*k + 1479*k for k.
23
Solve 940*u + 24671 + 58039 = -8470 for u.
-97
Solve 2585*m - 10278 = -2840 + 8072 for m.
6
Solve -39 = -1229897*s + 1229884*s for s.
3
Solve 353*b + 1721 - 3310 - 8611 = -327*b for b.
15
Solve -798 = -58*x - 93*x + 193*x for x.
-19
Solve -274784 = -12378*c + 800868 - 196814 for c.
71
Solve 0 = 353*c - 3128 + 13718 for c.
-30
Solve -10284918*g + 10284986*g + 6120 = 0 for g.
-90
Solve -596*y - 553*y = 352*y + 100567 for y.
-67
Solve 0 = -924*f - 426*f + 14850 for f.
11
Solve -2418 - 867 = 219*o for o.
-15
Solve -2570*b + 14635 = -47045 for b.
24
Solve -7981*d + 11127*d = -18876 for d.
-6
Solve 622*b = -203*b - 111 - 699 - 2490 for b.
-4
Solve -115*a = -23*a - 5563 - 233 for a.
63
Solve 48489*g - 48374*g + 5865 = 0 for g.
-51
Solve -3067*j = -356*j + 37954 for j.
-14
Solve 1665*r - 17010 = 2799*r for r.
-15
Solve -1914*j + 35370 = -113922 for j.
78
Solve -352*k + 50252 - 12949 = 159*k for k.
73
Solve 65251 + 46589 = 3495*f for f.
32
Solve -5899 + 8538 = 836*k - 35872 - 16665 for k.
66
Solve 7462 = 2793*u - 3080*u for u.
-26
Solve 0 = 3224*p + 68005 + 148003 for p.
-67
Solve -847*d - 4304*d = -818*d + 294644 for d.
-68
Solve 0 = -1111*v + 10814 - 47477 for v.
-33
Solve 3*g + g - 3766 = -4102 for g.
-84
Solve 1726 = 99*k + 16 - 2250 for k.
40
Solve -4950*f - 12448 = -4561*f for f.
-32
Solve -673*g - 37010 = 316*g - 1327 + 11789 for g.
-48
Solve -224842 + 230442 = 56*d for d.
100
Solve 5*n + 403 - 130 + 623 = -27*n for n.
-28
Solve 3436*z + 21126 = 1927*z for z.
-14
Solve -1330898*v + 645 = -1330913*v for v.
-43
Solve 1787*y - 862 = -5942 - 4903 - 15035 for y.
-14
Solve -8171*s - 11088 = 4879*s + 54162 for s.
-5
Solve 5986*s + 28320 + 5565 = 5233*s for s.
-45
Solve 4214*x - 11691 = 3992*x + 4959 for x.
75
Solve 0 = 4536*m - 4303*m + 4893 for m.
-21
Solve -14389 = 2743*x + 4812 for x.
-7
Solve -380*a = 166*a + 15010 + 10159 + 17419 for a.
-78
Solve 323*s + 363*s - 11117 - 13388 = -159*s for s.
29
Solve -745*c - 3857 + 7687 = -11070 for c.
20
Solve -40*g - 219 - 1366 + 65 = 0 for g.
-38
Solve 558*m + 4187 = -835 for m.
-9
Solve 5241*x - 10498*x - 28 = -5243*x for x.
-2
Solve -1505*t + 429726 = 6921*t for t.
51
Solve -100*q + 555*q = 19565 for q.
43
Solve -15863*t + 413184 = -2951*t for t.
32
Solve -13784 - 16992 = -446*x - 10399 + 33589 for x.
121
Solve 26187762 = -28*z + 26188854 for z.
39
Solve 60*c - 1417 - 641 - 667 = 2615 for c.
89
Solve 279 = 48*c + 1950 + 1353 for c.
-63
Solve -4778*p + 31134 = -7090 for p.
8
Solve -12858 + 16071 = -51*n for n.
-63
Solve 6 - 128 = 7*p + 192 - 790 for p.
68
Solve -5220*n + 191*n + 287664 = -495*n + 998*n for n.
52
Solve 56*y + 59*y - 1736796 + 1735646 = 0 for y.
10
Solve 7734*x - 394264 = 1242*x - 186683 + 279319 for x.
75
Solve 142372 + 228937 = -7657*t - 7695 - 34474 for t.
-54
Solve -6515*d + 343104 = 633*d for d.
48
Solve -24*p - 7*p = 26*p + 9*p + 3630 for p.
-55
Solve 19921 = 637*f + 42853 for f.
-36
Solve 205*n + 194*n + 103*n + 22715 + 2385 = 0 for n.
-50
Solve -72067 - 19679 = 2483*l + 22761 + 54337 for l.
-68
Solve 148*a + 13038 - 19106 = 0 for a.
41
Solve -4038 - 4350 + 7233 = 55*p for p.
-21
Solve -1939 = -57*z - 93*z + 4961 for z.
46
Solve -249*x = -487268 + 478802 for x.
34
Solve 14*y + 110*y = -221*y - 8280 for y.
-24
Solve 7112 = -1494046*u + 1494300*u for u.
28
Solve -1985*a + 82013 = -4717*a - 202115 for a.
-104
Solve 0 = 448*u + 1111494 - 1165702 for u.
121
Solve 880936 - 899110 = -233*l for l.
78
Solve -6257*u + 2129*u - 3285 = -21847 + 2050 for u.
4
Solve 0 = 25289*p - 24769*p + 34077 + 15843 for p.
-96
Solve 57912 = -548699*n + 548191*n for n.
-114
Solve 3493*z - 3152*z - 22506 = 0 for z.
66
Solve 21360*u - 816228 - 849852 = 0 for u.
78
Solve 98*r + 602 = 1173 + 605 for r.
12
Solve 1306*m - 114144 = 378*m + 2117*m for m.
-96
Solve -121*n - 21*n - 3182 - 336 = 1452 for n.
-35
Solve -16933937*b = -16934055*b + 3422 for b.
29
Solve -46*g + 3159 = -9051 + 7012 for g.
113
Solve -1936*k + 1089*k + 20328 = 0 for k.
24
Solve 2968*u - 48592 = 4832 for u.
18
Solve 10846*z = 10714*z - 622 - 3998 for z.
-35
Solve -9*v - 5*v + 3922 = 42*v - 3*v for v.
74
Solve 208582 = -1555*j + 228797 for j.
13
Solve -47*p + 3339 - 400 = 22*p - 2443 for p.
78
Solve -1742*s + 62930 = -2641*s for s.
-70
Solve -1796 + 3983 - 9607 = 141*w + 9923 for w.
-123
Solve -9140*l - 111408 = 4332*l + 454*l for l.
-8
Solve -221*q - 186 = -64*q - 73*q - 2034 for q.
22
Solve 6260 - 53 = -312*w - 303*w - 2403 for w.
-14
Solve 432083 = -2099*b - 3256*b + 301748 - 389100 for b.
-97
Solve 256648 = 187*h + 248981 for h.
41
Solve 13*s + 84*s = -114*s - 8651 for s.
-41
Solve 145 = -36*l + 64 - 387 for l.
-13
Solve 211*b + 3334 + 475 = -120*b + 830 for b.
-9
Solve 0 = 91*x - 11545318 + 11546865 for x.
-17
Solve 364*g - 31563 = -343*g - 2576 for g.
41
Solve 3*s + 2178 = -78*s + 312 - 1293 for s.
-39
Solve 156868*d - 9 + 152 + 433 = 156852*d for d.
-36
Solve 27265 = -700*j - 79*j for j.
-35
Solve 10*c - 42*c - 33*c = 3*c + 2924 for c.
-43
Solve -237*y - 3697 + 10153 = -5157 | {
"pile_set_name": "DM Mathematics"
} |
Is 26 a factor of 2357783324?
True
Is 33 a factor of 15836777?
False
Does 1233 divide 337452306?
False
Is 1286467637 a multiple of 247?
True
Is 212471237 a multiple of 139?
False
Is 398 a factor of 669814712?
False
Is 68851301 a multiple of 472?
False
Is 38 a factor of 34664636?
False
Does 117 divide 255467160?
True
Does 2016 divide 53895744?
True
Does 17 divide 4633995954?
False
Is 5 a factor of 14625135?
True
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True
Does 826 divide 1356695088?
True
Does 4264 divide 797939376?
True
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False
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False
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False
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False
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True
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False
Does 4 divide 802454?
False
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True
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True
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True
Does 1081 divide 174508337?
False
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True
Does 306 divide 15731766?
True
Is 966543060 a multiple of 140?
True
Is 25 a factor of 56172350?
True
Does 49 divide 76385963?
False
Does 6 divide 223588?
False
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True
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True
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True
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True
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True
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True
Does 32 divide 23635148?
False
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True
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True
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False
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False
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True
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False
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True
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True
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False
Does 13 divide 88707189?
False
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False
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False
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True
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False
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False
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False
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False
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False
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True
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True
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True
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True
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False
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True
Does 9 divide 612370819?
False
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False
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True
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False
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False
Is 8504444 a multiple of 26?
True
Does 128 divide 1929228800?
True
Does 1365 divide 36046920?
True
Does 281 divide 39701366?
True
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True
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True
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False
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False
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False
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True
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False
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False
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False
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False
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True
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True
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False
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False
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False
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False
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True
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False
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True
Does 150 divide 203010900?
True
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False
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False
Does 45 divide 180489788?
False
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False
Does 8 divide 188313969?
False
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False
Does 28 divide 241356734?
False
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True
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False
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False
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True
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False
Does 102 divide 6854706?
True
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True
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False
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False
Is 63197320 a multiple of 257?
False
Is 4 a factor of 2086818244?
True
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True
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False
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True
Does 33 divide 124283511?
True
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False
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False
Does 74 divide 789620384?
False
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False
Is 170 a factor of 27813550?
False
Is 55117484 a multiple of 149?
True
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False
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False
Does 449 divide 77969748?
True
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True
Does 3887 divide 1501431490?
True
Is 8613 a factor of 3798513873?
True
Is 11895886 a multiple of 1955?
False
Is 285743655 a multiple of 234?
False
Is 98887573 a multiple of 662?
False
Is 1517865 a multiple of 2?
False
Is 486 a factor of 18022338?
True
Does 4668 divide 341390332?
False
Does 15 divide 377362738?
False
Is 238321115 a multiple of 396?
False
Is 78190658 a multiple of 91?
True
Is 588975354 a multiple of 594?
True
Is 2197 a factor of 3656451721?
True
Is 12719 a factor of 1364254954?
False
Is 10 a factor of 102590180?
True
Is 6730653 a multiple of 2?
False
Is 8541036 a multiple of 6?
True
Is 227324880 a multiple of 9?
True
Is 598 a factor of 101262330?
True
Is 229051699 a multiple of 31?
False
Is 75902433 a multiple of 11?
False
Is 112 a factor of 38475347?
False
Is 2571614 a multiple of 14?
False
Does 62 divide 763766836?
False
Is 26821848 a multiple of 109?
True
Does 14 divide 118155338?
True
Is 1968744512 a multiple of 10052?
True
Is 28 a factor of 54213908?
True
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False
Does 4162 divide 2579012434?
True
Is 147535325 a multiple of 306?
False
Does 28 divide 16139648?
True
Is 33 a factor of 71895486?
False
Does 2477 divide 46158895?
True
Is 647591153 a multiple of 11?
True
Is 24 a factor of 1120307619?
False
Is 146 a factor of 189338?
False
Is 1130369490 a multiple of 11?
False
Is 9523646 a multiple of 123?
False
Is 97533228 a multiple of 13?
True
Is 64256710 a multiple of 749?
True
Is 1847 a factor of 29188141?
True
Is 361436856 a multiple of 3862?
True
Is 473839740 a multiple of 5940?
True
Is 32 a factor of 3518560?
True
Is 15170076 a multiple of 747?
True
Is 85509942 a multiple of 14?
True
Is 16670124 a multiple of 294?
False
Is 1412297 a multiple of 4?
False
Does 2 divide 119612006?
True
Is 387 a factor of 41169897?
False
Is 195 a factor of 1145394315?
True
Does 233 divide 27299678?
True
Is 352092940 even?
True
Does 69 divide 2983974?
True
Is 45654769 a multiple of 163?
False
Is 199437160 a multiple of 65?
True
Does 6274 divide 8211617?
False
Is 12 a factor of 181872224?
False
Is 37 a factor of 317802102?
True
Does 1525 divide 20756775?
True
Is 70 a factor of 57760475?
False
Is 49858912 a multiple of 62?
True
Is 382785398 a multiple of 373?
False
Does 1709 divide 109085022?
False
Does 10 divide 9277297?
False
Is 2 a factor of 13497258?
True
Is 92 a factor of 44712938?
False
Does 28 divide 22522136?
True
Is 307 a factor of 12482620?
True
Does 256 divide 13927936?
True
Does 149 divide 88495123?
True
Is 1184801760 a multiple of 72?
True
Does 6827 divide 1076331166?
True
Does 2 divide 14872031?
False
Does 468 divide 56044872?
True
Is 378 a factor of 192561384?
False
Is 9704468 a multiple of 2974?
False
Is 141 a factor of 786025880?
False
Is 723380775 a multiple of 3?
True
Is 34 a factor of 234674664?
True
Does 21 divide 68727705?
False
Is 184582314 a multiple of 337?
True
Is 2639 a factor of 112025558?
False
Is 36147121 a multiple of 453?
False
Is 460967368 a multiple of 139?
True
Is 3491744307 a multiple of 26?
False
Is 422775682 a multiple of 554?
True
Does 20 divide 500180928?
False
Is 64 a factor of 22037193?
False
Is 219 a factor of 797576214?
False
Does 102 divide 175003542?
True
Is 7108071 a multiple of 3?
True
Is 400955045 a multiple of 4435?
True
Is 9121924 a multiple of 3592?
False
Is 64 a factor of 15281344?
True
Is 1420 a factor of 74943754?
False
Is 25 a factor of 35103875?
True
Is 33 a factor of 1554487110?
True
Does 1519 divide 438228462?
True
Does 315 divide 81504045?
True
Is 21 a factor of 2642495076?
False
Is 20 a factor of 166306240?
True
Is 796723620 a multiple of 462?
True
Is 29 a factor of 39475311?
False
Is 4367221541 a multiple of 8?
False
Does 31 divide 72238587?
True
Does 7 divide 351763949?
False
Is 13237989 a multiple of 72?
False
Does 41 divide 68070561?
False
Is 5491360 a multiple of 5?
True
Does 875 divide 22285466?
False
Is 4297872 a multiple of 10?
False
Is 4 a factor of 46579308?
True
Is 248 a fa | {
"pile_set_name": "DM Mathematics"
} |
8 - (2 + -7 - 6)?
3
Evaluate -4 - (0 - ((-1 - -4) + -1)).
-2
Calculate 5 + (2 - (1 + -1)).
7
What is 1 + (3 + -4 - (2 - 0))?
-2
1 + 0 + 18 + 0 + -11
8
What is -2 - (-2 - -1) - (-2 - -1)?
0
6 - (13 - (-4 + 4))
-7
-2 + 0 + -1 - (-1 - -2)
-4
Evaluate (-6 - -2) + 3 + -3 - -6.
2
Evaluate 2 - (3 + -4 + -1 + 6).
-2
What is 7 + -4 - (6 - 2)?
-1
What is the value of -7 + -1 - (-24 - -21)?
-5
Evaluate -4 + (-11 - (2 - 10)).
-7
What is the value of 7 - (-1 - -5) - (8 + -1)?
-4
Evaluate 3 + -3 + (-1 - 4) + 6.
1
What is -5 + (-2 - (0 - 1)) + 6?
0
-2 - 2 - (-2 - -3)
-5
-1 + (3 - 4) - -5
3
Calculate -6 + (7 - (-3 + -3)).
7
What is 6 - (-7 + 4) - 4?
5
What is the value of -11 + 4 - (-6 - (-1 - 2))?
-4
What is the value of (6 - -2) + (-3 - -1)?
6
Evaluate -15 - (12 - 34) - 7.
0
Evaluate 2 + (-3 - -1) - 0.
0
Evaluate 74 + -80 - (-6 + 1 + -2).
1
What is -1 + -2 + -1 + (-7 - -10)?
-1
Evaluate -17 + 13 - 2 - -8.
2
-2 + 11 + -9 - -9
9
Calculate (-10 - -8) + 8 - 5.
1
What is the value of 22 - 14 - (-1 - -11)?
-2
Evaluate -6 - (1 - (14 + -10)).
-3
What is the value of -5 + -1 - (-12 + 10) - 0?
-4
-2 - (4 - 7 - -9) - 0
-8
What is the value of -12 - (6 + -17) - (3 - -2)?
-6
Evaluate -5 + (0 - 3 - -4).
-4
What is 1 + -7 + (0 - -4)?
-2
Evaluate -30 + 31 + 0 + 4.
5
Calculate -7 - -6 - (-1 + -1) - -2.
3
Calculate 1 + (-3 - -3) + 11 + -10.
2
What is -14 + 17 - (1 - -2)?
0
3 - (4 - (7 - 4 - -1))
3
(3 - 2) + -5 + 0
-4
Calculate (4 - (3 + 2)) + 2.
1
What is 0 + (3 + -8 + 3 - -1)?
-1
Calculate -8 + (15 - 12) - (-1 + 1).
-5
What is (-9 - (-12 - -5)) + 3?
1
Calculate 6 + (-4 - -5) - 7.
0
What is the value of -8 + 0 + 12 + -2?
2
Calculate -1 - 0 - ((8 - 3) + -4).
-2
What is 16 + (4 - 11) + 2 - 5?
6
0 + -5 - (2 + -8 - -5)
-4
(-3 - 6 - -5) + 3
-1
What is 2 + (-1 - (-5 - -7))?
-1
What is 2 - -1 - (1 + -1) - 0?
3
Evaluate -7 + 7 + (1 - 4).
-3
What is the value of -5 - (10 + -8 - (9 + -1))?
1
Evaluate -3 - (-6 + 3 + 1 + 3).
-4
Evaluate 7 + (-5 - 6 - 3).
-7
What is the value of -4 + (-3 - (3 - 12))?
2
What is 6 + -12 + 0 + 4?
-2
Calculate 1 + (-1 - 1) - (5 + -5).
-1
-2 + (0 - -3) - (-11 - -17)
-5
Calculate (42 - 42) + (-1 - (1 + -1)).
-1
Evaluate -6 + (1 - 5) + 6.
-4
Evaluate -3 + (5 + (-3 - 1) - 4).
-6
What is -1 - ((-3 - -6) + -5 + -1)?
2
Calculate -10 - -11 - 5 - 5.
-9
Calculate 12 + (-12 - 10) - -1.
-9
Calculate -4 + (-7 - -6 - 0) + 11.
6
(6 - 0) + -7 - (1 - 8)
6
What is the value of -1 + -15 + 16 + (-2 - -1)?
-1
What is the value of (3 - -6) + -8 + -5?
-4
-3 + (-3 - -3) + 4
1
Evaluate -1 - -7 - (-40 + 47).
-1
What is (-2 - 1 - 0) + -11 + 10?
-4
What is -4 + (0 - -4) + 1?
1
What is 0 - (3 + (-4 - 6) + 8)?
-1
What is the value of (-4 - (4 + -4)) + 6?
2
Calculate -4 + 3 - -5 - 9.
-5
-6 - -2 - -5 - -2
3
Evaluate 0 - ((-1 - -3) + -13).
11
Calculate 6 - ((1 - 5) + 0).
10
What is the value of -12 + 19 + -10 + -3?
-6
(11 + -5 - 12) + 1
-5
Calculate -13 + -13 + (0 - -16).
-10
Calculate 3 + -4 + 2 + 2.
3
What is 0 + -6 + 3 - -7?
4
Calculate 39 + -29 - (4 + 1).
5
What is (1 - (5 + -4)) + 1?
1
Evaluate 10 + -2 + -8 + 4.
4
Evaluate (9 - 17) + 14 - 7.
-1
Calculate 3 + (-7 - (-3 - (2 - 3))).
-2
0 - (1 - 6 - -10)
-5
Calculate 5 + 7 - 19 - -16.
9
Evaluate 5 + -5 + (1 - -4).
5
What is 7 + -10 + -5 + 8?
0
-2 + 2 - (-3 - (-4 + 0))
-1
Evaluate 7 + -5 + (-3 - -2).
1
-22 + 16 - -10 - (-1 + -1)
6
-1 + -2 - (-7 + 4 + 5)
-5
What is 11 + 3 + (7 - 17)?
4
What is -8 - (0 + -4 - -5)?
-9
What is (-3 + 1 + -1 - 0) + 1?
-2
What is the value of 4 + (-4 - (2 + (-6 - -6)))?
-2
Evaluate 6 + -7 + 6 + 5 + -4.
6
Calculate (5 - 1) + -6 + 6 + -3.
1
What is the value of 11 - 14 - 3 - -2?
-4
-1 - -9 - (-17 + 24)
1
What is (0 - 0) + -36 + 39?
3
What is the value of 3 - 0 - (-88 - -86)?
5
What is -13 - -24 - (2 - -2)?
7
3 + -5 - (-6 + 2)
2
Calculate 3 + (4 - (2 + -1)) + -3.
3
What is the value of (-1 - -15 - (9 + -2)) + -2?
5
Calculate (-1 - (-6 - -2)) + 25 + -29.
-1
What is the value of 21 - 23 - (1 + 2)?
-5
Calculate 5 + 0 + (3 - 3 - -1).
6
Calculate (0 - -3) + -8 + 9 + -5.
-1
Calculate 21 + -8 - (9 + -2).
6
Calculate (3 - 5) + -9 - -9.
-2
What is the value of -5 + -1 - (6 + -13)?
1
What is the value of (0 - (0 - -2)) + 0 + 7?
5
-1 - (-1 + 0 - (-12 + 12))
0
Evaluate 7 + (-6 + 10 - 5) - 9.
-3
Calculate 7 + -1 - (7 + -2).
1
What is the value of -7 + -1 + -2 - (-61 + 60)?
-9
What is the value of 12 + 0 + 37 + -23 + -15?
11
7 + (1 - 2 - 3)
3
What is the value of -8 + -9 + 15 + (0 - 2)?
-4
(-8 - -6) + (-2 - (1 - 1))
-4
0 - (0 - -8) - -8
0
0 + 1 + -3 + (-2 - -4)
0
(14 - 3) + -1 - 7
3
Evaluate 1 + 1 + 5 - 5.
2
What is the value of -2 - (-6 - (9 + -6 - 9))?
-2
What is 4 + -2 + (3 - (4 + 5))?
-4
Calculate -16 + (1 - (2 - 15)).
-2
-8 - ((4 - 2) + -14)
4
What is the value of -6 + (-1 - (-3 + -2 + 3))?
-5
Calculate -5 + (-4 - (-12 - -4)) - -6.
5
What is 0 - (3 + 1 - 1)?
-3
Calculate 16 - 15 - (-1 - -2 - 2).
2
What is the value of 3 - (7 - (-2 - 0)) - -4?
-2
What is the value of -4 - (2 + 0 + -5)?
-1
Calculate (-4 - (-4 - -4)) + 1.
-3
(-12 - -10) + -2 + 0 + 5
1
What is -14 - -5 - (-6 + -6)?
3
What is -75 + 70 + (10 - (-1 + 2))?
4
What is (-3 - (-2 + 1)) + (-280 - -278)?
-4
Evaluate -12 - ((-5 - 0 - 2) + 3).
-8
What is (-2 - -2) + (19 - 8) + -5?
6
Evaluate -4 + (0 - (-6 + 7)).
-5
What is 2 + 14 + (1 - 26)?
-9
What is (-178 - -181) + -1 + -9?
-7
What is (-2 - -9) + -3 - 7 - -1?
-2
Evaluate 1 - (-6 + 3) - 3.
1
Calculate -3 + (-3 - (-13 - -4 - -3)).
0
Calculate -6 - (3 + 1 - (-4 - -12)).
-2
10 - 8 - (-1 + 4)
-1
15 - (3 + -4 + 12)
4
What is the value of -2 - 0 - (-12 + 12)?
-2
Calculate (-1 - -2 - (-31 + 30)) + -2.
0
Calculate -2 + 3 - (4 + (5 - 5)).
-3
7 - (20 + -2 + -8)
-3
Evaluate -12 - (-9 - (13 + -18)).
-8
What is (-7 - -14) + 1 + 0 - 7?
1
Calculate 4 + 1 - (-28 - -30).
3
Evaluate -1 + (0 - 3) - -2.
-2
What is the value of (-4 - (-4 - -5 - 0)) + 3?
-2
4 - (3 + -1 + 2) - 1
-1
What is the value of -7 - (2 + -6 - -1) - -1?
-3
Calculate (1 - -1 - 1) + -4.
-3
What is (-3 + -4 - -4 - -7) + -9?
-5
Calculate (4 + (-6 - -4) - 2) + 5.
5
What is 5 - ((-2 - 2 - -3) + 4)?
2
Evaluate -12 + 10 + 8 + -1.
5
((11 - -3) + -3 - 6) + -2
3
What is -3 + (3 - (2 + -3)) + 2?
3
Evaluate (-1 - (-3 + 2) - 0) + 2.
2
1 - (2 - (-9 + 12))
2
Evaluate -4 + (-2 - 1 - -4).
-3
Calculate (-3 - 5) + (5 - 1) + 0.
-4
5 - (-1 + 14 + (4 - 7))
-5
What is (12 - 6) + -17 + 6?
-5
What is the value of 0 - (10 + -10 + 6)?
-6
Evaluate 0 + 3 - (-9 - -11) - 4.
-3
Calculate (7 - 11) + 1 + 4.
1
(1 - -2) + (44 - 48)
-1
8 - (-4 + (4 - -6))
2
What is the value of (0 - 0) + (-10 - -14)?
4
What is the value of 3 + 2 - (-1 + 1) - 2?
3
What is the value of (-6 + 5 + -1 - 0) + -3?
-5
What is -10 + 2 + (0 + -6 - -10)?
-4
What is 16 + -8 - (4 - -2)?
2
What is -8 - (7 + -7 - 3)?
-5
Evaluate -4 - (7 - 2 - 2 - 7).
0
(1 - 7 - -5) + -2
-3
0 - (-4 + 2 + 4)
-2
Evaluate (9 - 18) + 4 - -5.
0
Calculate 5 + 2 + -1 + -3.
3
What is the value of -6 - (-13 + 2 + 0)?
5
Evaluate (4 - (2 - -4)) + -2.
-4
What is 3 - (-4 + (-3 - -12) - -2)?
-4
Calculate -4 - -4 - (-2 + 6).
-4
Calculate 57 + -51 - (6 - -2).
-2
Calculate 3 + 9 + -16 + 0 + 0.
-4
What is (3 - 3) + (1 - -7 - 8)?
0
What is the value of -1 + (7 - 1) + (-3 - -4)?
6
4 + 3 + -3 + -1
3
Evaluate -6 + (-11 + 10 - -10).
3
-1 - 1 - (-3 - -4)
-3
Evaluate -2 + 5 - (-6 + 5).
4
What is the value of -7 - ((6 - 18) + 6)?
-1
(1 - 2) + 1 - (80 + -76)
-4
(-9 + 18 - -5) + -7
7
What is the value of 3 + 1 + (-1 - 7)?
-4
-2 + 1 + (-18 - -27)
8
What is -2 + (-5 - (2 - 5))?
-4
What is the value of (4 - 1 - -7) + -7?
3
What is the value of -1 + (-8 - -3) - -2?
-4
Calculate 13 + -9 - (2 + (2 - 0)).
0
What is (7 + -10 - (3 - 3)) + 6?
3
What is the value of -2 - ((2 - 6) + 1 + 1)?
0
Calculate 13 - (12 - (9 + -5)).
5
Evaluate -1 - (-6 - (4 + -7)).
2
What is the value of 10 + 4 + -8 + -13?
-7
Evaluate (0 - -2) + 0 - (-102 - -96).
8
Evaluate 5 - 3 - (7 + -11).
6
Calculate 75 + -73 - (-1 + 1 + 1).
1
What is the value of -3 + (-16 + 7 - -8) - 2?
-6
Evaluate 1 - (-5 + 3 - -4) - 3.
-4
What is the value of -5 - (-2 + 14 - 6 - 11)?
0
What is 5 + 0 + -2 + (1 - 1)?
3
-1 + -4 + (-15 - -15)
-5
(0 - 0) + -1 + 1 + -1
-1
What is 1 - 4 - (21 + -18) - -8?
2
What is 9 + (6 + -12 - 0) + 3?
6
Calculate -12 + 0 - -29 - 8.
9
What is 6 - (0 - -2 - (-1 - 2))?
1
Evaluate 1 + -2 + -1 + 2 + -3.
-3
What is 5 + | {
"pile_set_name": "DM Mathematics"
} |
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